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

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

                                                    315,416,475,618,846,080,
936,303,028,664,545,170,126,519,656,262,323,870,316,323,710,795,135,387,449,
006,934,620,943,862,947,517,029,663,623,614,229,944,506,869,166,986,866,002,
790,395,934,468,934,329,365,512,042,063,478,236,587,664,406,687,540,253,076,
642,098,774,020,969,609,945,983,292,505,783,928,283,570,842,567,724,222,472,
424,177,384,530,775,747,071,585,395,344,060,062,523,282,594,879,423,792,439,
476,204,892,243,486,584,703,502,878,859,359,504,778,085,017,945,823,039,155,
923,890,235,713,341,998,460,191,949,344,821,892,482,974,239,714,173,671,467,
853,449,201,071,870,288,546,168,896,136,805,550,813,765,522,736,431,390,661,
998,086,660,013,200,159,184,799,586,344,310,640,160,882,662,896,619,835,513,
624,965,683,427,527,228,832,614,627,235,339,926,202,140,626,135,740,059,405,
043,680,416,024,569,579,111,847,687,787,990,404,031,488,827,076,477,863,844,
056,446,059,444,671,549,364,021,284,052,464,026,385,325,864,856,787,588,052,
074,866,037,795,846,568,024,415,615,128,074,480,530,889,245,304,132,769,857,
903,104,792,753,927,594,096,429,588,870,747,694,476,778,455,686,462,581,130,
357,179,495,540,007,112,806,849,012,797,583,398,279,772,692,025,012,125,112,
023,957,367,805,032,874,051,785,391,678,878,370,592,978,874,601,926,917,387,
349,902,038,487,496,399,522,256,226,198,420,249,841,538,863,603,112,340,978,
224,699,085,370,428,583,974,221,121,204,957,131,101,735,878,906,042,417,046,
357,865,399,959,344,256,412,869,274,835,252,666,969,750,614,040,193,704,172,
130,842,478,543,586,138,651,123,725,121,933,419,883,713,586,913,905,320,917,
206,786,543,928,046,030,994,652,578,744,807,276,553,038,221,637,208,722,014,
027,465,797,890,850,622,726,682,210,840,947,777,041,559,151,887,800,791,589,
958,759,085,187,942,138,602,418,407,984,238,211,546,155,105,193,834,209,477,
777,717,498,405,587,908,481,147,409,293,857,208,913,947,834,089,844,418,699,
005,330,293,847,794,727,809,000,649,457,363,094,865,551,651,230,142,920,782,
625,730,197,621,382,471,563,244,553,460,267,919,066,327,873,430,826,578,939,
709,451,298,623,029,374,622,313,584,630,705,728,821,520,448,842,299,362,143,
471,245,032,626,060,686,919,022,404,632,207,824,550,743,783,502,864,239,557,
100,346,431,556,854,674,501,216,868,827,850,616,821,312,379,495,692,589,748,
912,826,095,343,752,115,031,005,125,536,278,333,095,827,175,628,098,936,675,
891,063,216,450,050,826,450,522,088,872,310,541,190,705,425,637,888,076,403,
388,964,379,762,875,899,020,244,197,832,796,053,323,290,551,630,033,297,927,
938,154,817,568,075,453,675,273,493,810,603,052,282,987,288,856,053,853,144,
254,596,469,778,424,252,736,276,742,490,030,894,655,211,123,705,561,793,186,
286,346,253,878,901,207,259,499,451,449,015,493,090,750,564,305,162,310,550,
035,739,673,980,410,386,854,676,491,434,256,527,299,066,349,441,601,754,962,
998,888,851,568,996,973,366,396,423,222,037,870,662,190,772,494,195,721,767,
496,087,844,888,230,892,072,152,458,732,846,825,642,001,037,553,145,868,111,
943,087,232,868,712,425,375,490,904,474,936,890,735,199,847,481,023,979,493,
034,649,446,762,062,184,132,655,397,940,910,645,931,912,853,039,912,144,112,
119,740,936,337,500,199,326,897,352,488,182,346,553,964,317,734,576,807,622,
090,959,329,337,503,226,196,703,101,713,183,279,159,318,815,135,437,959,384,
183,767,862,154,234,600,665,650,387,568,841,497,569,738,147,599,834,856,137,
885,891,414,871,012,119,000,965,597,057,818,784,386,412,455,912,106,498,773,
640,780,664,027,577,956,006,461,096,001,978,696,872,375,487,378,699,999,753,
802,583,880,270,008,016,308,462,728,058,684,293,077,227,765,191,881,626,841,
375,595,175,739,375,958,474,491,833,031,164,557,586,683,691,032,023,237,466,
155,916,518,116,827,244,781,234,507,682,167,205,893,855,270,680,819,035,557,
819,356,936,091,238,397,631,416,810,382,807,526,121,576,011,094,799,433,791,
667,587,926,551,053,572,438,173,145,086,106,571,783,792,895,744,655,112,156,
228,638,499,207,753,418,693,015,874,051,842,135,305,414,772,785,634,183,996,
702,793,544,651,036,981,983,261,555,338,582,860,276,900,248,935,427,755,374,
395,342,963,394,092,191,826,079,344,205,376,665,727,638,545,284,025,516,577,
448,072,204,104,257,434,675,078,342,357,296,313,245,113,290,098,000,272,386,
229,887,803,765,290,212,737,348,787,113,736,239,344,312,606,447,308,915,439,
518,017,314,641,346,462,187,358,772,711,259,133,818,461,466,865,647,777,808,
961,663,371,187,080,358,948,512,616,908,799,901,671,487,103,348,716,911,404,
148,943,824,235,717,536,914,263,429,922,307,949,108,031,703,705,374,446,231,
575,598,484,526,613,593,926,842,944,986,191,589,577,351,999,161,761,455,153,
331,782,704,305,419,140,691,626,006,686,725,607,198,518,449,105,677,016,564,
286,114,966,609,359,193,098,524,199,927,082,891,510,275,034,870,347,360,626,
841,935,115,498,130,595,588,981,550,687,286,898,358,030,402,071,581,344,626,
528,101,281,508,792,775,401,125,673,897,243,765,239,108,801,464,177,769,949,
482,577,177,287,220,959,474,121,788,600,962,928,900,824,688,181,274,219,103,
021,761,628,496,150,382,117,474,234,988,531,565,776,611,698,078,476,239,821,
870,034,172,256,971,083,215,774,112,911,084,108,655,239,732,294,593,601,692,
148,670,497,606,249,987,779,894,464,939,426,562,832,554,479,594,386,939,010,
319,366,348,989,811,957,998,819,762,301,274,806,592,709,067,149,506,780,095,
037,434,717,877,022,582,901,882,890,156,511,750,766,665,366,401,201,897,720,
823,797,875,046,125,838,075,917,517,048,743,687,265,562,639,534,391,966,665,
711,801,318,399,469,288,835,389,750,483,102,871,960,348,960,459,717,744,519,
320,085,926,826,541,189,365,100,028,264,032,568,325,922,867,927,934,014,448,
437,078,790,364,848,068,662,062,128,037,675,303,557,918,015,534,510,798,400,
084,033,516,367,841,050,368,287,992,969,576,244,511,255,637,041,201,709,711,
347,891,075,390,793,023,128,888,036,521,035,259,123,277,799,048,548,457,797,
303,699,829,253,494,141,044,451,287,057,781,283,847,503,580,062,473,734,943,
477,164,750,128,474,258,364,450,164,771,248,612,913,113,369,778,692,922,878,
538,962,702,351,910,927,028,247,418,996,202,573,971,071,054,481,539,592,846,
548,530,008,218,029,489,122,433,138,657,311,186,556,533,501,949,819,653,036,
699,306,898,526,793,611,090,936,868,589,423,461,218,398,161,448,848,792,502,
174,595,338,679,995,664,027,140,339,104,988,951,174,896,801,233,259,876,559,
330,501,862,092,904,947,884,324,886,694,444,865,197,906,427,459,534,027,200,
094,372,322,534,742,249,903,225,315,322,984,039,049,743,488,448,432,314,474,
704,416,056,595,444,025,312,990,961,499,334,159,597,867,937,768,904,483,697,
390,291,192,065,075,848,960,868,953,192,139,582,090,161,937,382,492,671,455,
858,123,616,153,998,452,745,662,611,022,855,865,675,301,144,609,592,847,200,
755,884,339,739,184,429,023,520,807,727,353,177,663,977,875,600,586,184,776,
104,911,958,823,273,076,580,974,516,231,659,312,568,541,252,429,679,748,654,
593,066,139,294,523,701,177,711,082,788,993,468,476,864,909,629,751,645,572,
470,793,107,178,765,399,603,034,366,769,885,862,251,807,485,064,232,370,700,
079,290,128,374,023,012,894,715,196,463,228,399,975,837,369,328,248,767,183,
480,903,685,466,695,078,698,621,366,715,804,122,163,030,803,126,859,293,721,
275,368,453,467,481,496,953,986,179,675,339,944,088,359,658,279,622,338,659,
685,088,570,081,603,755,487,541,103,549,846,409,653,478,431,170,829,138,716,
824,993,808,569,263,448,903,886,908,634,886,407,332,914,669,958,938,274,394,
588,199,557,140,371,380,673,049,902,718,297,543,597,921,315,589,980,180,360,
251,153,271,656,748,401,045,660,524,336,569,053,595,067,789,964,505,211,141,
906,350,796,811,409,880,727,891,372,159,260,868,813,908,147,470,771,276,505,
620,100,550,628,834,172,694,152,767,890,293,695,676,748,400,840,515,730,029,
145,202,475,114,226,816,741,978,378,420,383,265,146,749,044,329,667,377,441,
264,209,542,616,460,759,254,421,084,501,764,643,644,920,401,305,448,175,643,
782,232,489,879,299,735,053,672,778,675,955,899,515,129,065,991,525,142,674,
267,338,689,248,103,703,041,304,502,048,784,711,156,741,355,775,384,032,444,
933,288,007,940,408,597,048,769,824,447,093,527,816,329,485,336,946,043,816,
244,282,047,685,002,062,214,706,582,909,668,259,382,120,612,027,351,912,536,
458,281,580,177,104,609,948,681,246,777,285,231,791,654,430,631,425,887,330,
321,652,886,415,047,798,080,143,230,459,626,893,758,360,250,642,828,950,412,
481,033,750,639,991,464,102,786,976,202,534,215,991,038,206,893,792,888,766,
299,633,073,207,366,752,013,841,793,178,480,482,258,803,425,092,321,205,333,
384,894,656,674,246,934,134,872,511,869,700,279,295,154,896,515,186,914,583,
905,279,096,607,924,551,374,736,806,638,933,427,749,577,932,998,374,242,743,
004,139,785,274,161,777,066,990,015,575,850,257,026,694,678,216,406,685,757,
043,689,615,812,858,823,812,238,829,761,394,443,784,259,500,392,328,791,858,
666,662,386,990,047,302,629,668,336,949,870,362,494,474,855,909,554,206,991,
752,000,272,748,830,899,227,157,719,949,518,480,790,231,156,541,172,342,355,
291,203,511,468,353,720,219,731,896,179,355,824,333,420,866,719,351,023,911,
773,163,759,263,838,008,517,088,021,381,309,662,779,076,080,899,398,992,388,
923,219,570,578,281,568,095,479,291,360,911,037,711,506,026,917,123,736,605,
621,555,382,877,141,182,274,639,793,612,941,050,901,737,759,550,907,622,604,
738,400,710,219,882,648,251,000,612,625,208,312,415,083,084,958,975,414,170,
009,796,156,613,324,809,197,900,357,953,528,303,780,784,090,440,239,354,642,
332,597,681,295,404,525,875,750,278,850,658,551,626,271,879,149,532,601,285,
591,924,360,369,017,175,077,682,992,535,854,030,149,631,711,483,921,374,682,
827,446,905,507,273,713,919,731,815,835,819,708,981,137,033,357,989,970,210,
334,874,625,285,177,263,166,083,858,036,144,909,424,686,643,201,334,006,725,
368,627,927,758,726,426,164,922,144,903,389,590,986,054,211,713,215,361,820,
605,749,112,662,811,121,356,205,134,039,120,203,645,191,385,823,012,021,991,
080,079,672,815,119,523,731,716,498,638,110,814,818,737,487,471,079,756,817,
945,729,999,884,398,000,034,116,997,786,531,312,589,549,551,815,986,397,787,
315,205,498,149,201,020,865,709,007,017,306,393,374,652,251,914,708,845,096,
190,952,505,243,453,968,535,005,644,712,531,046,979,603,102,571,979,196,916,
223,982,303,615,970,708,807,962,048,054,208,985,938,479,672,246,386,989,548,
760,482,852,305,685,181,307,234,656,522,568,185,327,861,831,394,544,153,238,
922,112,025,056,391,031,197,299,826,049,926,701,406,241,339,341,920,481,767,
318,138,808,015,553,512,340,019,085,857,567,073,524,609,129,619,832,230,926,
896,754,585,471,562,709,821,573,039,034,906,626,748,503,539,749,472,626,585,
794,825,137,143,584,734,045,077,287,606,466,620,719,988,258,072,157,333,878,
815,091,176,569,482,175,247,933,030,295,638,669,720,987,571,384,615,790,101,
597,199,022,886,753,538,566,815,204,861,413,918,225,995,708,404,021,503,783,
742,442,231,493,482,105,453,826,921,713,800,086,201,623,205,875,330,732,789,
192,405,374,917,278,858,792,218,936,168,391,931,620,467,923,546,670,720,119,
707,887,230,374,208,421,208,363,011,166,281,039,272,778,848,538,319,925,407,
752,462,797,754,491,691,315,715,896,449,294,256,913,638,564,025,033,047,965,
698,112,265,472,465,302,386,355,017,171,547,804,892,687,221,506,289,290,951,
509,911,046,752,303,392,261,497,249,703,001,033,829,709,270,923,356,297,382,
851,869,705,833,431,770,303,576,342,617,534,771,410,511,542,833,431,803,590,
293,346,340,687,522,712,443,609,649,905,765,535,015,618,308,750,245,238,782,
915,392,153,479,197,842,809,473,869,550,895,032,467,007,309,517,135,935,352,
597,844,055,923,924,562,831,075,337,554,889,155,413,545,598,407,262,232,109,
345,200,125,657,016,527,933,370,566,392,124,419,772,925,414,805,228,080,458,
445,109,205,931,066,679,472,304,229,823,158,337,481,958,918,533,389,563,093,
877,132,991,583,970,240,312,068,487,045,551,173,018,436,913,296,695,010,595,
764,798,254,250,368,435,861,957,103,723,644,633,543,731,078,002,323,280,366,
365,806,884,946,426,484,225,747,933,176,907,370,742,112,446,003,567,388,244,
176,962,259,864,064,623,254,291,961,338,776,795,548,595,756,452,619,018,799,
847,805,414,199,066,484,726,235,751,186,177,541,471,475,300,670,462,271,024,
325,028,162,876,630,234,603,968,604,958,203,660,022,583,972,411,308,481,455,
194,413,471,071,673,100,238,919,889,007,376,729,891,155,496,868,007,929,609,
456,443,043,524,462,538,269,291,932,359,629,842,475,400,485,222,121,173,121,
158,004,439,200,801,578,952,017,179,444,878,639,608,482,158,485,878,355,851,
414,332,920,768,101,869,532,862,532,142,042,407,764,062,723,819,279,305,696,
081,260,778,060,304,171,766,015,310,124,078,657,752,163,041,345,255,736,851,
206,752,439,331,041,778,834,335,010,660,146,026,641,938,101,692,060,522,582,
555,366,722,927,200,733,615,434,261,945,638,117,493,863,804,308,071,802,697,
580,899,282,208,916,433,635,308,731,133,122,796,715,827,588,547,499,937,862,
579,782,984,557,953,649,018,110,919,841,608,818,759,394,226,701,738,988,641,
256,245,606,836,462,997,185,290,262,925,561,081,831,218,723,537,332,624,767,
733,433,102,622,501,543,026,325,104,187,269,750,561,439,920,178,999,563,483,
356,851,218,191,680,068,234,271,679,424,194,873,034,041,405,837,405,907,203,
832,570,368,784,735,621,207,131,625,801,271,945,577,102,803,296,801,902,504,
147,680,293,771,275,494,938,476,107,054,870,159,849,055,592,642,831,317,563,
226,046,992,377,770,665,031,740,327,495,245,014,700,123,574,384,106,523,453,
131,495,206,254,660,128,947,347,741,085,594,469,532,995,314,386,495,941,182,
557,046,708,366,755,712,285,264,544,272,107,391,155,351,710,705,209,872,927,
878,492,764,729,623,645,162,752,095,090,465,651,135,974,337,374,152,088,678,
241,013,011,410,107,242,349,737,365,572,096,796,669,324,311,819,720,078,715,
663,214,533,978,393,312,566,677,105,442,860,437,215,840,673,383,969,735,397,
713,805,854,225,822,579,411,104,855,466,536,990,279,923,523,146,958,094,107,
750,912,661,093,929,642,097,932,399,852,539,843,218,557,813,559,949,813,165,
542,324,426,308,377,292,936,897,620,340,090,805,771,801,732,426,591,909,882,
328,132,938,366,736,741,105,795,262,818,330,051,237,998,808,065,447,204,168,
716,214,672,559,657,720,857,935,974,939,348,002,866,474,407,105,346,593,579,
533,378,115,948,039,192,427,306,185,291,373,747,155,429,158,007,951,485,123,
615,398,891,159,208,102,783,576,595,579,735,149,942,288,332,901,061,785,392,
845,635,990,077,622,918,451,844,075,137,964,747,058,326,365,201,969,592,971,
951,265,061,545,257,980,747,486,095,678,086,202,456,190,862,624,459,881,150,
136,652,433,019,613,371,232,909,195,367,687,614,901,297,372,753,916,133,961,
381,531,428,069,120,863,095,110,024,893,649,902,615,006,011,469,456,266,498,
917,116,287,613,184,429,557,988,436,603,376,069,029,186,607,131,755,613,451,
083,844,329,284,057,998,386,117,506,251,352,451,646,580,004,565,802,754,471,
857,570,654,665,163,322,194,328,085,578,933,629,322,312,171,144,337,621,536,
827,322,745,322,806,889,261,335,717,293,144,314,600,250,176,208,034,495,257,
985,872,535,969,287,993,506,324,053,570,442,897,638,586,505,680,999,580,246,
437,803,030,277,784,310,517,971,822,044,112,350,444,899,171,503,842,506,381,
106,343,634,964,206,032,348,351,779,414,217,742,535,487,003,799,014,381,957,
901,690,346,626,309,179,571,753,880,716,886,746,246,289,240,640,672,010,956,
319,440,438,566,833,370,270,598,970,409,876,524,511,440,024,212,131,753,753,
697,344,466,114,451,928,408,576,241,880,315,480,273,420,654,603,867,647,264,
591,161,584,288,785,698,352,243,219,767,989,333,887,035,117,820,444,209,982,
847,527,863,564,863,443,881,856,960,591,190,354,086,773,369,078,975,533,783,
970,123,477,513,857,408,086,409,192,517,004,984,792,895,732,502,786,647,781,
746,909,580,781,341,152,951,792,178,624,618,324,894,751,031,609,819,694,769,
543,613,231,961,756,455,975,741,231,477,543,611,838,199,743,243,280,447,397,
676,454,833,081,194,234,950,938,573,862,982,652,212,780,052,385,972,786,595,
054,850,508,563,872,873,717,011,505,957,687,102,505,446,800,203,974,926,017,
541,654,608,226,767,494,397,119,435,785,473,236,554,719,163,101,677,046,472,
792,482,822,582,672,932,555,790,631,580,624,620,205,420,199,320,673,191,138,
498,686,952,891,548,269,034,535,209,130,562,984,199,315,230,626,758,218,360,
284,864,545,543,324,040,876,415,489,510,884,059,793,164,713,487,741,183,892,
691,948,110,228,421,848,530,959,383,274,522,324,424,471,477,766,082,823,783,
894,588,667,790,221,605,977,113,345,426,623,705,926,018,420,035,307,907,786,
319,605,006,670,524,139,310,359,404,751,423,457,943,939,790,937,147,111,077,
465,308,408,891,352,114,269,752,131,045,537,271,084,574,349,479,006,880,801,
192,198,244,502,096,602,758,619,885,347,665,796,742,787,538,429,762,963,777,
868,453,570,043,256,132,353,773,329,275,947,871,687,344,279,227,100,912,523,
172,862,772,271,132,797,346,078,103,770,893,618,165,717,297,571,200,671,330,
578,448,868,030,389,879,750,029,090,191,685,899,361,209,624,604,519,981,100,
238,847,678,334,879,427,141,845,170,223,501,475,211,550,897,005,630,497,484,
967,899,874,641,781,265,224,014,950,435,103,921,481,841,511,982,893,617,294,
077,181,780,768,064,777,190,276,892,814,478,428,248,789,132,051,837,499,372,
819,700,240,923,602,264,170,254,967,417,620,028,582,577,841,247,787,202,715,
046,684,653,417,951,788,933,668,182,089,015,493,288,769,317,144,880,680,964,
390,675,869,144,125,723,126,602,374,463,936,469,489,899,963,241,809,760,555,
419,749,561,140,745,915,208,330,907,854,271,895,254,417,066,419,438,818,541,
651,424,610,013,694,896,337,970,203,502,133,897,990,594,085,801,375,469,062,
723,975,776,170,344,170,420,152,148,666,174,871,814,077,557,764,118,975,270,
139,037,521,255,409,195,657,899,647,666,368,618,491,300,331,654,402,533,602,
140,925,576,839,772,073,615,140,687,338,686,818,142,463,376,847,711,291,088,
354,517,965,857,293,249,013,923,744,612,044,309,084,324,201,012,022,865,091,
576,531,864,355,213,471,573,353,269,186,113,377,913,766,848,333,919,478,931,
160,428,288,952,917,539,772,969,568,371,973,214,769,198,066,671,438,256,277,
455,797,572,064,183,306,572,585,121,281,130,365,399,461,810,481,697,032,697,
330,193,990,678,758,088,404,114,642,281,036,682,070,035,282,968,343,471,903,
754,304,497,034,650,484,658,806,788,495,709,897,515,869,422,568,640,856,987,
805,467,149,733,338,192,166,667,347,894,953,024,826,468,852,668,336,378,267,
282,148,922,502,064,576,250,750,349,223,275,082,187,012,592,089,699,345,851,
329,035,142,899,787,171,232,769,849,656,002,454,770,327,958,881,108,492,101,
542,398,350,805,648,402,813,249,932,578,377,212,158,914,548,996,521,202,080,
657,361,318,356,445,850,968,377,788,932,931,131,573,296,663,864,675,474,559,
306,421,548,087,442,350,374,369,679,086,179,609,892,742,647,299,164,174,210,
966,604,561,718,163,850,802,416,176,382,095,627,353,042,187,108,817,425,996,
134,263,110,415,305,197,755,466,410,524,912,473,842,630,174,488,656,683,541,
344,732,195,052,178,812,402,669,271,857,169,002,442,583,771,749,765,981,799,
268,047,423,926,203,477,651,950,519,129,680,732,034,495,169,418,598,441,860,
328,782,355,627,398,381,842,450,869,487,877,640,205,686,782,555,220,406,180,
329,927,901,022,392,213,320,327,649,617,445,892,272,508,747,363,115,672,650,
349,017,322,642,474,131,122,220,491,295,087,505,525,920,656,696,525,893,764,
947,123,423,694,444,220,327,393,436,131,555,168,088,401,849,201,618,991,625,
346,100,324,016,126,040,161,776,534,770,610,614,114,809,714,129,296,510,587,
075,077,887,723,231,185,004,701,144,002,683,715,636,407,377,538,362,557,728,
966,845,539,244,847,309,076,095,195,160,085,831,035,293,008,073,467,503,069,
937,089,831,130,042,157,703,887,604,073,369,830,234,845,251,488,773,394,875,
160,511,279,785,919,640,426,735,732,207,750,896,861,548,945,769,407,876,540,
187,506,227,464,622,543,712,026,165,124,869,448,949,528,771,120,229,440,646,
177,926,355,984,522,403,454,380,571,230,489,860,301,852,829,396,362,159,891,
841,363,715,636,660,736,896,395,800,435,943,144,239,167,285,412,668,796,317,
438,462,208,962,217,400,070,198,582,845,380,982,302,253,597,297,539,543,400,
883,647,366,376,518,656,856,027,128,504,030,136,334,927,099,136,269,177,158,
586,695,212,987,473,833,209,833,785,041,333,994,602,386,344,913,240,463,278,
128,929,760,720,647,378,541,747,044,182,530,171,220,212,420,344,300,845,096,
636,289,435,313,567,188,687,303,706,121,974,510,624,763,004,935,269,319,593,
387,931,988,948,353,326,850,366,895,361,719,700,847,035,483,495,994,479,439,
790,071,531,063,495,943,764,295,455,661,352,158,932,485,221,942,812,612,896,
201,027,076,085,458,603,169,486,259,128,266,650,837,566,000,974,643,564,012,
568,934,123,464,861,261,129,160,025,109,189,175,201,795,830,436,862,153,893,
059,316,032,175,766,672,998,889,200,541,170,378,215,290,261,361,027,032,617,
469,833,449,001,186,358,986,905,505,069,577,382,811,029,821,380,005,079,927,
932,038,134,622,688,255,995,441,357,425,001,677,530,087,989,794,423,640,202,
753,430,948,838,292,234,981,548,057,785,514,645,444,742,532,935,893,128,133,
473,425,206,805,737,584,477,244,132,129,639,973,483,189,885,291,710,174,935,
384,968,874,629,216,954,610,273,075,025,949,546,266,129,542,224,113,503,140,
221,651,652,220,002,455,761,432,762,478,607,457,519,808,553,864,753,033,274,
231,020,682,058,693,877,442,241,737,803,613,982,607,139,132,722,750,480,659,
718,191,461,529,013,307,371,790,148,167,124,377,130,461,312,245,264,657,501,
288,844,154,134,072,777,994,019,632,202,224,421,940,222,701,690,082,645,317,
806,235,769,891,068,748,612,393,435,850,382,692,820,404,105,747,264,128,636,
011,085,005,095,740,160,467,294,396,736,755,571,646,141,003,652,616,174,954,
303,878,725,791,445,830,004,718,108,277,077,400,550,660,688,384,933,982,699,
808,956,946,052,904,217,175,421,605,422,099,336,933,858,925,623,183,780,095,
481,191,522,731,358,711,024,564,589,765,786,522,321,136,053,040,025,460,233,
882,440,696,775,826,599,420,778,250,831,018,951,698,899,224,549,090,187,885,
789,146,024,553,070,866,280,159,557,981,752,151,663,975,942,841,866,640,396,
975,956,665,328,529,406,048,314,738,378,230,946,738,069,508,120,643,249,635,
514,843,141,714,945,985,736,680,986,251,651,299,007,367,621,529,576,355,793,
688,616,480,208,175,905,673,406,054,993,866,063,150,434,017,249,650,268,142,
321,134,351,042,147,649,271,343,739,491,565,364,556,924,020,039,369,366,150,
393,092,443,185,545,007,770,253,995,991,194,603,071,654,015,131,284,519,447,
763,353,335,925,121,583,933,176,897,266,183,493,992,315,152,555,657,833,406,
029,622,759,881,067,771,940,959,240,377,686,682,999,062,198,149,643,166,958,
143,795,086,421,348,009,259,969,365,314,320,868,588,475,460,440,969,906,338,
296,261,828,263,760,483,514,437,687,985,359,165,950,621,157,105,029,885,450,
311,520,835,094,627,433,139,584,340,338,259,825,269,876,282,793,811,481,197,
641,532,164,664,675,215,456,361,190,516,355,025,973,651,092,255,849,366,625,
773,132,798,713,383,448,936,775,891,685,129,040,298,821,665,643,018,408,528,
148,061,004,021,429,107,855,004,598,596,721,930,406,163,133,100,388,268,787,
262,940,814,100,137,194,148,472,611,884,427,492,772,972,891,074,984,848,534,
727,969,191,644,622,723,285,535,506,333,917,890,402,291,164,922,768,542,201,
797,682,217,404,738,070,762,114,722,178,936,206,023,012,555,623,400,828,660,
935,615,784,102,956,081,637,547,445,589,624,140,903,521,179,566,311,655,146,
459,446,139,461,051,636,247,134,300,797,278,945,981,798,830,973,460,064,848,
785,586,692,559,030,932,899,203,523,294,840,704,541,045,673,067,889,279,108,
738,856,795,308,653,093,893,643,712,457,625,206,192,661,062,711,806,469,796,
788,066,692,683,069,348,829,900,220,180,267,345,976,783,580,237,623,432,252,
276,317,067,383,033,654,060,432,189,096,089,892,992,244,506,660,928,943,518,
072,181,566,756,130,560,317,415,760,411,012,564,009,260,250,855,734,834,842,
506,584,867,159,426,044,205,282,248,344,971,873,546,712,067,136,669,007,633,
548,917,947,959,881,883,917,513,966,149,767,042,755,609,923,156,135,650,201,
442,586,489,849,267,868,557,901,000,558,465,890,733,681,300,603,804,864,045,
037,662,155,377,703,074,454,641,628,041,829,605,115,660,466,719,521,068,357,
116,741,641,622,896,633,714,439,915,299,784,019,579,325,252,861,457,633,104,
726,223,429,089,567,876,340,564,192,176,020,859,374,923,855,381,930,346,775,
328,670,028,017,900,936,441,301,193,325,787,246,323,908,781,670,645,041,887,
397,808,476,140,773,555,529,442,576,672,691,405,738,517,304,303,687,626,213,
243,039,687,186,310,744,266,893,864,935,740,361,481,141,560,467,670,900,568,
626,572,642,566,632,402,564,840,058,642,652,518,036,820,323,779,310,072,525,
824,908,249,698,254,329,587,941,180,132,428,421,059,008,220,010,763,507,572,
870,046,405,180,685,386,336,038,022,835,313,949,373,533,750,407,485,674,191,
222,473,188,145,855,086,807,049,526,172,994,067,931,667,078,352,568,841,501,
153,048,855,365,876,428,593,013,680,168,892,768,066,579,480,212,146,032,917,
086,075,640,220,941,623,018,603,114,009,764,268,063,051,415,362,862,578,016,
006,281,330,208,843,979,044,594,256,071,777,967,821,674,080,836,319,912,014,
415,981,819,812,941,498,695,290,304,393,414,563,603,572,410,761,942,030,063,
685,742,275,995,812,639,517,449,983,580,753,164,629,166,960,265,345,631,032,
511,622,115,564,450,658,783,135,991,464,189,879,706,144,452,143,087,718,981,
474,626,789,818,664,615,283,275,675,800,533,815,905,585,583,218,574,067,817,
758,452,772,352,981,713,786,955,245,351,138,008,118,264,519,472,327,691,469,
968,547,319,538,451,822,980,674,604,457,237,691,527,049,682,375,496,196,457,
277,428,460,260,171,669,493,371,660,404,369,360,858,548,009,504,527,945,308,
353,899,288,288,703,908,704,586,807,591,696,926,876,620,940,579,572,498,748,
209,563,603,945,774,578,133,586,427,794,742,730,431,064,295,671,400,710,648,
526,086,097,201,990,477,556,951,809,656,533,213,781,692,940,889,874,386,772,
213,072,580,220,297,876,342,363,355,760,705,766,574,366,450,871,528,520,065,
584,830,722,999,990,957,516,907,043,849,421,111,922,332,836,627,618,637,366,
011,322,995,008,426,286,304,216,921,548,324,900,644,482,680,615,604,905,855,
363,727,046,552,571,001,855,317,953,266,884,104,049,126,948,873,181,839,109,
421,045,149,878,086,956,602,311,256,912,316,505,139,913,415,906,372,998,612,
344,812,707,499,932,277,958,555,758,937,970,565,663,890,776,001,527,713,394,
100,899,354,554,250,078,574,785,866,479,242,313,844,661,496,790,715,869,287,
348,062,590,242,646,783,417,988,492,039,180,341,201,302,875,363,712,945,019,
395,685,573,278,958,725,014,386,396,621,075,512,637,439,893,922,621,219,440,
952,797,243,106,297,265,803,546,316,387,858,218,699,532,874,742,576,384,401,
854,328,304,311,342,412,186,971,787,538,096,384,116,494,106,721,575,891,235,
024,430,051,109,900,822,129,530,539,972,829,456,277,118,008,933,990,135,054,
774,040,570,411,423,576,897,656,289,636,624,231,209,159,741,216,341,569,272,
635,500,868,872,291,920,612,340,428,392,003,565,269,483,401,324,292,800,613,
506,324,228,206,212,563,801,871,194,295,852,398,089,352,145,414,162,860,164,
490,631,502,493,815,076,129,701,640,151,811,366,377,390,835,528,750,227,578,
265,230,454,651,887,606,726,286,539,469,101,001,019,787,211,325,096,981,757,
975,178,860,939,470,679,633,307,655,286,048,700,804,550,581,625,170,845,948,
702,118,230,873,076,395,768,018,329,129,350,917,833,024,767,219,778,068,208,
418,489,572,567,294,524,598,752,407,021,945,252,003,894,523,728,239,850,352,
420,807,579,363,105,919,170,778,054,393,939,025,799,153,406,529,337,005,538,
448,776,812,155,681,222,060,941,375,780,765,204,227,118,910,874,824,186,887,
446,187,791,616,128,207,413,509,943,965,213,288,342,274,185,038,337,969,368,
011,761,763,990,362,963,129,956,275,647,630,483,493,101,884,863,270,931,053,
727,409,751,691,284,095,487,490,339,556,267,762,343,457,863,759,693,068,383,
384,878,542,167,068,225,975,678,255,959,038,119,641,204,683,556,198,403,774,
275,321,073,689,195,336,731,527,882,813,688,028,793,537,476,648,491,684,376,
057,551,378,524,825,605,387,978,706,726,745,069,403,067,431,142,173,691,066,
104,329,422,215,594,471,801,505,340,305,071,749,469,050,063,635,664,191,478,
645,057,483,990,420,426,774,066,781,014,490,666,672,288,600,968,338,314,973,
114,378,986,262,204,158,786,343,423,230,545,266,593,093,031,827,559,488,202,
059,957,933,611,538,607,709,080,323,826,485,689,297,573,423,366,981,777,472,
701,975,840,079,201,174,175,930,933,137,812,032,735,281,510,377,738,964,661,
933,014,824,004,011,187,577,007,715,366,403,232,293,253,918,126,444,711,983,
496,291,423,241,127,034,914,341,746,563,012,557,922,676,641,792,949,863,043,
606,593,033,055,619,973,829,105,827,109,886,451,220,077,434,596,917,854,658,
060,180,267,915,900,343,589,735,563,053,458,009,561,971,417,416,812,807,714,
104,884,303,865,271,414,889,197,088,378,441,945,850,926,538,308,863,704,436,
196,900,583,421,643,904,171,555,455,469,113,421,747,794,700,382,339,279,670,
863,754,058,449,375,901,494,719,647,243,120,074,337,876,271,389,322,484,964,
723,858,502,516,173,732,453,978,069,949,989,551,186,584,431,802,081,814,238,
120,792,386,009,307,204,829,953,347,991,395,221,643,666,822,504,336,531,636,
063,909,855,814,210,825,408,384,397,461,571,918,388,525,071,220,014,563,941,
746,748,205,830,027,565,386,604,842,795,935,032,088,228,221,879,817,326,178,
891,598,358,634,372,105,655,311,560,325,938,449,079,337,048,068,898,230,471,
080,119,911,323,532,280,996,183,112,146,899,898,745,644,340,441,489,276,367,
799,936,005,692,446,725,080,870,499,534,948,731,746,163,154,702,627,311,620,
443,290,821,289,161,512,835,977,284,237,044,079,758,941,486,590,861,917,324,
116,621,330,380,310,317,819,013,680,152,472,529,303,741,086,590,792,927,875,
332,355,284,955,368,509,772,355,120,557,990,394,102,036,893,154,889,012,579,
553,558,607,163,152,151,632,022,968,198,085,417,018,126,300,482,341,021,725,
687,152,958,885,723,931,724,508,224,058,067,118,087,488,660,277,492,044,670,
018,150,465,236,334,881,486,630,750,936,690,998,300,756,715,491,767,623,346,
909,005,300,994,981,258,193,803,387,526,416,009,249,685,370,170,495,276,312,
941,694,728,904,620,771,551,866,039,112,414,764,474,671,868,165,900,935,679,
685,437,138,732,507,022,360,068,661,733,028,961,242,572,895,920,265,905,819,
990,797,350,691,737,036,006,651,599,403,699,341,264,645,967,804,586,511,558,
811,757,272,165,701,654,551,755,521,414,396,524,133,174,499,222,001,398,513,
228,137,482,517,608,915,995,490,632,537,372,020,696,134,971,330,592,990,068,
024,688,407,051,260,933,390,489,698,343,802,176,388,727,777,508,518,691,922,
158,953,086,521,111,755,451,056,566,205,248,639,855,191,175,578,912,189,917,
290,694,229,921,430,787,377,682,818,365,822,117,908,290,969,306,029,462,526,
573,268,079,666,923,454,413,872,213,386,714,891,497,791,408,407,887,074,877,
783,638,484,774,417,611,864,595,613,560,351,633,945,368,928,189,475,901,434,
415,798,071,032,808,230,185,710,017,165,008,038,983,430,397,459,171,229,665,
398,615,080,253,711,345,724,246,470,969,531,844,583,746,153,885,239,051,170,
724,511,735,134,501,213,814,689,301,048,415,885,361,695,878,574,278,210,516,
859,616,113,976,514,346,756,737,472,246,855,629,113,046,409,554,338,916,197,
697,935,638,965,259,202,395,256,714,317,977,970,585,887,942,738,309,051,753,
504,151,015,660,297,618,354,445,845,539,355,275,510,456,880,099,414,342,255,
075,664,927,814,303,744,643,606,983,956,874,893,423,165,210,916,669,875,963,
536,655,640,844,471,570,103,925,857,389,003,281,567,951,337,439,972,041,606,
944,343,735,279,315,092,257,955,161,253,207,419,553,633,869,422,971,793,043,
282,539,495,550,188,062,511,179,228,937,218,696,746,872,579,628,077,213,255,
370,536,439,174,442,873,136,093,693,964,645,772,037,329,360,049,973,792,456,
271,121,303,420,408,477,607,696,394,617,046,195,684,147,873,089,557,780,436,
767,959,019,361,325,621,212,162,131,974,036,107,322,781,256,236,664,543,898,
999,306,955,358,006,544,806,866,053,269,852,623,506,182,332,191,633,607,560,
206,029,756,352,057,658,257,094,930,674,568,403,574,912,010,407,232,407,735,
409,720,189,031,365,411,167,116,196,744,269,876,436,438,527,200,957,988,710,
630,887,548,746,628,362,696,672,711,265,304,641,183,881,099,989,131,809,144,
925,106,338,876,580,991,144,039,641,440,355,863,686,182,504,852,392,205,326,
585,062,507,692,211,315,737,922,752,726,038,301,495,312,583,613,962,900,026,
947,424,080,781,187,545,352,931,763,279,539,471,725,800,281,816,307,150,141,
902,920,217,605,810,559,293,556,978,007,682,285,495,364,775,971,796,312,011,
537,497,680,080,331,825,171,954,470,167,724,153,045,757,059,796,513,821,667,
554,889,518,393,277,100,156,959,616,085,256,478,789,379,281,902,880,539,571,
945,129,931,047,564,262,533,607,964,423,257,599,690,826,608,751,170,376,388,
484,924,831,478,298,703,548,899,261,080,120,097,720,243,548,031,911,219,926,
049,981,134,061,540,635,226,397,711,619,755,046,490,511,207,234,345,098,429,
370,609,257,446,601,830,049,659,393,854,319,912,817,700,213,200,921,617,531,
427,506,902,071,810,323,751,533,950,581,385,986,938,569,855,317,793,760,200,
152,366,387,904,878,291,264,326,056,720,951,225,349,184,304,337,067,402,822,
236,645,079,030,422,001,253,500,253,037,962,985,755,100,228,211,478,269,874,
901,041,935,682,797,121,850,129,105,815,243,883,664,068,349,268,334,827,461,
381,784,981,982,977,718,816,028,126,605,258,758,888,583,421,084,377,066,949,
874,845,883,577,981,515,592,494,490,894,644,025,963,022,093,847,446,904,353,
057,411,561,677,018,125,980,508,681,946,847,970,288,685,613,710,604,256,741,
299,410,199,550,428,569,566,514,182,816,433,286,748,674,212,170,684,643,605,
256,860,850,355,267,018,306,311,332,579,331,398,249,605,767,935,287,648,641,
425,604,588,163,619,934,729,777,667,623,262,886,537,123,705,460,985,517,665,
881,780,904,337,532,245,649,015,822,815,033,101,160,991,600,210,784,931,918,
286,675,114,818,990,929,468,298,423,274,669,397,510,988,525,847,152,904,526,
327,698,494,272,988,943,635,987,893,719,359,451,132,388,349,338,814,736,196,
072,052,851,709,212,981,452,957,333,098,763,922,592,765,858,513,520,063,581,
085,472,547,842,779,520,898,857,461,187,896,946,930,622,099,818,183,097,329,
848,466,850,781,490,528,747,948,801,614,571,986,419,946,265,022,229,845,810,
630,158,888,042,945,324,464,325,959,043,888,481,041,294,778,688,525,302,085,
012,639,870,986,643,675,636,015,143,438,798,919,267,941,495,370,053,057,513,
051,248,594,926,930,062,055,912,497,242,191,154,612,236,537,488,346,452,867,
878,922,135,815,793,476,450,123,349,499,372,575,559,922,275,479,261,192,554,
599,590,083,231,312,758,332,020,270,755,987,390,761,976,751,433,894,523,691,
626,208,813,033,554,119,314,952,848,419,399,423,994,037,277,385,979,934,215,
255,231,699,139,849,384,750,763,513,002,079,046,260,893,389,087,815,038,276,
982,965,230,206,211,457,973,719,015,999,797,061,853,628,877,552,200,066,369,
788,989,775,671,487,844,772,462,347,421,081,826,588,410,384,203,091,724,779,
221,656,767,493,295,217,093,764,471,823,494,914,638,426,274,160,102,040,847,
141,123,014,801,126,736,299,406,405,347,514,634,065,167,219,764,687,256,268,
866,484,693,151,489,106,230,948,093,268,127,696,013,982,493,732,619,508,977,
074,419,571,346,777,043,823,209,861,035,822,000,435,856,105,929,992,084,494,
617,507,390,148,882,052,051,121,604,757,926,380,622,250,758,738,714,253,508,
742,430,313,190,125,835,651,405,998,053,013,101,879,467,769,747,779,054,329,
286,744,701,376,526,650,666,151,822,501,935,308,179,642,462,069,322,410,950,
856,819,567,737,186,590,241,929,267,082,357,939,982,243,296,612,590,051,938,
122,572,357,981,451,793,528,621,204,613,923,766,237,224,198,670,179,840,879,
136,996,899,223,303,402,652,642,511,347,307,346,282,991,333,792,641,604,790,
749,343,528,829,739,298,110,060,251,753,882,472,353,808,971,430,449,416,848,
884,198,586,213,739,892,208,919,940,990,555,488,058,956,823,090,255,194,122,
773,834,993,655,954,987,615,089,264,922,267,855,074,557,540,700,303,349,690,
872,525,555,590,201,546,825,572,914,110,142,457,658,113,150,852,649,281,470,
028,221,253,045,886,135,073,891,244,065,517,983,468,034,458,131,511,525,353,
445,090,943,964,699,220,692,867,489,860,873,999,969,886,060,614,052,902,663,
809,042,859,882,998,328,048,609,042,839,607,651,825,174,161,759,251,669,592,
639,436,289,888,350,151,549,828,805,293,686,416,225,483,120,675,977,980,856,
282,352,404,557,480,168,254,703,950,979,759,974,366,300,648,117,423,656,611,
426,253,772,948,275,224,967,556,360,799,921,670,952,163,624,840,908,077,750,
238,564,659,254,490,653,947,849,484,488,502,149,506,848,797,433,232,092,139,
297,467,409,572,656,147,843,935,932,785,374,270,589,788,877,646,544,057,794,
377,500,811,699,535,905,807,747,742,226,846,343,909,536,681,021,448,562,560,
116,275,980,660,727,706,131,646,675,895,899,807,503,871,353,007,494,196,727,
502,399,880,724,784,157,885,161,317,972,306,219,778,738,145,266,225,108,580,
731,791,021,778,561,549,192,706,409,939,494,603,995,688,052,452,784,157,034,
764,125,472,469,709,278,449,522,238,337,969,109,272,670,380,397,671,749,656,
306,714,309,411,822,908,943,262,581,356,381,725,945,818,815,387,790,267,074,
132,969,704,238,519,501,319,312,226,087,633,487,971,909,109,193,710,593,799,
757,885,946,306,266,810,722,872,996,982,541,678,166,551,886,309,920,711,573,
455,391,120,687,167,296,801,339,046,133,765,933,923,179,906,857,778,001,015,
826,706,346,195,065,814,239,578,533,236,351,142,444,717,433,609,094,729,631,
212,754,271,776,556,885,271,997,648,032,529,201,569,195,199,844,795,586,686,
652,693,690,396,768,906,880,677,707,347,276,499,832,023,908,480,037,484,956,
242,449,540,569,381,126,464,076,608,862,404,792,480,397,756,484,375,731,031,
996,956,150,702,328,457,394,825,907,721,528,293,404,345,657,287,684,888,791,
427,979,343,405,378,604,716,049,772,934,350,157,842,608,281,952,181,133,952,
668,052,630,803,352,627,130,837,798,272,443,220,663,041,469,206,871,529,429,
531,897,936,145,034,068,962,390,845,396,757,264,953,308,261,542,789,416,846,
157,620,660,443,611,642,288,943,983,262,532,825,136,579,906,756,628,672,588,
139,274,939,497,561,069,489,075,957,303,434,448,965,027,018,119,039,247,374,
047,434,348,915,702,303,355,208,114,644,231,207,988,507,983,350,121,295,324,
977,353,789,616,212,840,175,565,479,263,925,389,097,338,817,572,894,254,709,
130,481,274,961,642,254,699,453,387,731,855,597,322,071,392,628,618,025,439,
666,531,022,295,812,303,018,112,443,725,779,871,866,209,952,223,058,816,465,
069,164,276,535,799,251,297,845,181,162,562,827,089,395,133,392,531,853,094,
672,115,008,240,173,649,502,657,939,725,448,800,324,784,790,156,909,677,009,
272,910,280,294,579,254,153,286,855,190,824,387,457,062,258,685,458,458,052,
994,802,158,028,438,959,820,193,338,624,754,319,403,533,929,150,888,170,587,
930,631,656,960,879,245,524,269,545,592,909,652,848,844,094,442,325,885,165,
271,716,658,301,804,338,766,054,288,625,503,541,715,109,282,375,313,063,294,
077,801,745,020,062,681,687,759,542,480,656,534,778,307,266,284,495,876,050,
354,731,013,551,706,124,409,408,711,204,281,829,917,013,440,679,833,863,155,
725,199,759,262,875,141,066,437,390,829,733,202,445,609,392,243,389,839,690,
687,440,418,341,259,872,911,391,146,230,620,503,748,977,493,801,040,447,663,
750,080,507,108,765,984,869,133,944,929,090,182,785,396,413,906,639,240,680,
181,541,667,262,323,360,109,310,314,683,680,966,004,942,860,506,259,660,851,
355,721,488,700,482,827,968,555,190,582,442,556,359,736,363,150,292,134,957,
983,662,699,161,132,674,473,955,889,493,652,130,255,277,395,355,215,479,867,
903,653,517,164,974,376,654,452,686,329,109,960,466,711,279,951,833,573,632,
941,623,339,141,432,261,371,293,462,329,160,286,268,263,590,771,112,778,205,
049,610,554,780,350,606,132,711,290,790,675,941,013,369,564,481,954,812,603,
350,482,363,369,372,053,675,428,479,433,430,927,990,703,445,364,324,226,760,
813,422,109,870,559,427,686,266,022,451,896,188,375,346,377,846,547,283,801,
458,371,209,669,201,032,955,066,117,933,922,637,212,984,635,866,497,161,921,
113,947,132,629,107,196,983,164,421,637,073,183,890,780,002,726,935,703,059,
864,461,748,180,231,000,449,369,500,647,567,130,279,131,874,279,964,955,552,
312,888,482,709,529,002,981,273,599,665,181,467,366,654,066,432,225,890,825,
918,407,877,202,063,821,708,358,874,479,990,847,197,841,366,852,700,203,689,
364,476,625,108,792,799,993,086,755,908,137,269,914,560,905,942,628,063,100,
033,217,666,366,241,863,379,566,045,735,376,392,931,953,711,177,354,964,284,
298,196,180,670,244,912,346,576,350,570,193,515,017,493,708,103,714,188,608,
905,956,866,603,203,989,124,420,694,343,786,538,347,240,939,374,463,032,243,
682,067,988,301,350,242,173,881,218,608,183,357,657,880,357,253,149,473,791,
700,725,304,237,160,482,599,343,823,449,688,957,256,565,982,837,291,945,390,
034,644,912,488,612,748,899,223,171,149,149,098,746,423,084,378,159,731,541,
010,262,285,996,412,933,271,502,403,821,682,780,156,903,256,321,942,299,053,
268,298,429,384,851,141,226,578,699,155,190,206,867,059,031,223,090,759,796,
921,248,931,619,287,542,085,030,354,253,324,948,115,008,981,325,953,147,154,
835,980,241,498,546,964,559,765,430,945,140,522,435,006,701,916,919,685,552,
973,742,108,024,279,094,823,377,591,560,106,265,177,614,684,217,897,066,438,
206,891,608,172,046,849,443,259,867,809,803,663,372,488,166,684,906,711,634,
845,192,022,855,293,536,938,817,737,820,989,256,810,138,199,952,687,240,421,
518,389,072,714,587,557,983,550,213,839,722,227,715,528,444,453,064,380,673,
450,202,826,695,043,995,619,109,186,121,713,594,395,610,030,802,949,826,804,
209,964,673,544,822,190,897,801,732,770,156,409,555,580,620,401,791,951,527,
941,828,634,970,100,168,334,608,915,285,354,777,590,335,409,874,810,466,753,
305,640,261,137,800,578,437,547,617,627,053,550,717,041,345,294,227,488,790,
689,280,456,240,142,261,565,046,169,899,981,114,717,963,786,325,598,750,235,
105,075,175,547,763,346,233,561,905,553,994,458,909,470,683,770,855,675,595,
968,233,654,425,503,238,550,233,815,680,320,000,554,491,723,022,193,535,114,
212,937,920,131,038,683,288,610,740,588,452,786,067,206,023,869,287,629,983,
448,336,641,327,730,170,647,197,823,016,376,779,392,100,371,996,531,825,973,
407,831,601,818,615,982,833,333,273,749,308,391,432,553,343,046,976,259,925,
484,264,881,424,315,885,065,659,836,865,673,476,651,023,114,709,824,434,323,
236,990,838,310,140,962,858,452,874,444,825,104,537,441,406,124,284,900,467,
344,010,589,031,426,203,347,158,355,476,958,718,802,843,144,482,709,584,774,
245,713,210,937,851,386,128,839,630,486,539,794,797,382,215,200,923,071,065,
689,986,086,189,479,754,292,954,785,177,893,579,296,614,759,850,185,041,926,
969,303,754,710,333,119,343,917,639,390,357,540,194,912,211,709,307,939,426,
453,455,274,319,262,712,214,032,777,885,062,641,155,121,215,691,784,675,490,
488,925,308,607,437,686,691,797,987,508,922,686,812,441,851,657,353,968,755,
619,390,889,582,776,559,646,249,547,580,719,044,806,745,981,599,951,830,787,
649,197,730,496,320,969,452,746,163,982,759,466,923,133,895,903,540,487,146,
251,676,493,791,722,860,161,743,305,145,962,224,016,587,218,798,234,418,899,
451,171,139,787,050,144,465,655,092,549,284,335,702,206,212,353,286,762,895,
692,184,669,960,036,357,068,819,522,845,065,704,988,345,370,121,196,545,466,
280,610,348,810,821,299,487,469,281,637,515,305,974,554,088,881,117,388,509,
821,046,773,918,360,010,706,290,786,291,961,158,224,488,016,139,450,341,786,
846,885,646,642,417,533,112,631,495,719,966,603,409,398,311,975,953,311,515,
233,639,442,695,606,788,156,944,504,362,727,244,455,134,940,771,561,400,789,
615,077,748,381,502,309,984,122,010,767,473,395,914,445,828,775,143,563,228,
421,643,334,975,133,127,771,684,041,720,015,006,091,989,090,097,676,806,218,
305,510,884,350,786,222,484,529,771,481,692,350,592,013,765,333,457,507,763,
016,067,575,216,482,788,552,005,231,801,573,097,988,382,247,709,611,685,720,
584,264,141,958,247,512,203,956,095,364,294,369,775,279,610,511,818,158,054,
077,664,402,069,469,959,077,521,993,332,954,211,955,803,506,179,206,686,348,
988,352,118,090,320,717,243,665,982,841,484,151,702,752,395,502,271,516,891,
871,585,534,436,703,157,257,809,999,354,723,357,096,388,740,473,652,304,264,
181,021,109,532,999,569,716,428,731,598,142,145,533,063,928,556,882,754,720,
041,927,577,538,960,617,788,857,934,016,149,412,972,771,143,605,482,618,871,
207,241,128,049,999,122,350,893,914,644,114,273,214,367,251,183,109,881,908,
873,238,774,171,322,114,520,175,614,212,183,579,735,603,596,730,694,472,406,
900,929,673,913,019,743,224,112,676,260,568,747,962,105,796,174,553,655,115,
381,005,610,835,467,304,368,185,888,272,904,182,522,211,857,488,534,801,934,
135,438,483,616,182,544,715,117,033,341,019,830,176,439,839,031,787,791,005,
274,292,079,710,351,456,990,534,492,009,765,644,118,817,009,034,407,584,845,
439,884,890,030,825,889,717,539,095,053,774,154,700,577,988,941,407,369,849,
107,157,732,842,277,838,501,706,276,910,067,884,213,489,352,922,021,820,594,
517,706,127,690,590,965,397,888,723,028,235,378,686,928,528,998,257,520,920,
088,183,753,761,825,645,291,010,398,013,703,154,858,725,999,289,263,947,678,
843,613,303,256,407,392,001,033,336,283,725,986,210,274,529,260,754,900,540,
995,109,035,069,607,261,605,452,557,966,589,253,677,694,382,849,237,905,035,
611,730,720,730,620,295,404,525,342,421,254,513,532,428,193,246,841,090,249,
173,637,671,000,106,736,285,802,057,845,023,776,230,397,820,717,673,935,396,
421,957,619,024,769,331,057,801,476,830,645,852,462,558,459,511,917,352,673,
646,234,770,803,105,163,272,056,250,017,347,873,733,546,125,832,444,020,871,
011,514,970,090,344,614,318,310,690,210,943,096,349,883,047,137,568,707,157,
753,445,514,978,973,322,884,709,776,137,011,332,585,516,988,343,050,392,631,
577,771,618,818,973,094,366,901,998,421,522,435,629,246,420,861,851,191,164,
077,369,892,599,443,149,083,634,520,441,847,239,543,885,616,441,178,014,215,
280,760,637,175,442,875,295,674,689,643,633,078,613,495,402,980,508,763,032,
005,687,906,989,042,216,576,886,295,885,175,403,019,451,283,987,802,679,276,
626,878,006,718,159,268,687,413,257,451,745,119,939,841,787,164,529,232,097,
480,181,456,997,995,836,954,355,099,634,284,119,090,256,076,363,986,762,296,
967,871,162,668,272,939,386,909,206,164,188,211,539,698,648,365,525,980,906,
138,515,007,003,209,738,528,406,573,389,006,674,692,087,241,858,456,527,486,
746,546,630,813,851,584,697,256,477,808,438,932,307,337,608,140,404,202,345,
282,701,667,139,780,822,546,126,661,161,663,216,512,058,696,596,635,413,471,
007,310,538,856,020,877,390,452,284,873,259,126,021,515,085,294,566,114,141,
478,615,584,175,755,302,787,458,492,255,315,277,778,927,701,565,419,137,968,
034,910,918,907,018,961,754,791,233,987,212,441,539,103,607,342,580,258,026,
784,170,319,415,273,430,356,415,857,662,984,236,554,698,981,898,863,868,004,
267,105,777,141,633,980,330,845,482,749,954,614,312,859,742,694,857,952,671,
542,948,406,414,275,632,253,514,896,545,603,446,056,817,939,529,707,827,915,
104,552,552,576,304,832,381,838,838,691,059,330,333,961,627,827,111,663,130,
806,110,782,128,282,979,181,514,407,675,855,884,351,122,406,634,087,183,770,
294,448,912,299,702,479,882,980,986,875,049,946,788,699,539,828,670,324,657,
093,025,532,916,208,280,840,056,951,735,215,820,541,364,462,393,517,627,531,
067,607,636,145,463,227,766,339,734,248,524,474,625,799,421,044,912,479,162,
176,211,092,329,623,092,473,637,228,617,424,217,108,496,974,130,953,454,741,
837,356,592,620,385,333,410,771,480,121,077,326,594,755,352,611,330,896,862,
248,794,034,648,976,294,765,202,723,746,712,433,502,058,620,249,016,211,681,
981,668,557,846,420,385,005,620,187,020,408,191,014,680,068,200,584,956,748,
004,626,602,553,285,465,756,349,725,255,839,986,468,547,762,907,414,636,312,
084,664,157,971,720,972,885,935,014,221,457,614,721,160,485,036,963,582,868,
841,043,096,728,930,259,954,820,894,834,412,699,719,866,139,576,501,910,985,
224,092,020,390,350,963,966,909,805,672,755,225,284,821,784,992,957,786,830,
960,816,202,045,610,940,717,485,778,473,346,441,991,775,065,711,084,112,268,
616,869,264,059,615,102,903,717,239,732,216,274,319,235,301,846,189,240,790,
536,695,132,937,696,856,070,925,268,954,860,370,374,446,404,119,307,022,895,
147,042,069,971,008,623,684,820,940,417,904,114,393,139,503,145,928,321,892,
628,255,366,734,153,139,731,446,591,390,268,350,747,406,743,746,479,535,956,
951,790,797,390,524,290,379,631,802,629,190,965,326,353,442,383,712,489,679,
359,653,760,811,065,270,967,322,164,282,093,061,976,482,414,172,778,298,784,
665,091,352,924,542,296,288,818,826,301,657,169,505,820,388,629,840,244,125,
536,936,799,746,514,554,159,712,604,560,083,155,287,453,626,684,547,346,587,
671,080,105,696,294,547,365,568,240,562,089,126,755,072,072,245,069,338,943,
427,304,006,936,378,895,169,026,085,473,848,179,278,641,732,582,378,237,759,
142,918,063,830,061,395,254,311,381,914,538,240,150,358,141,007,733,189,270,
712,357,555,616,441,352,569,204,405,284,975,889,167,082,508,315,271,968,972,
794,597,403,173,440,820,404,117,855,657,982,620,279,682,869,684,878,886,216,
671,083,003,319,307,758,933,718,823,667,012,431,250,308,972,361,288,640,640,
369,083,257,906,360,874,458,558,728,395,401,975,438,673,019,611,046,095,629,
502,781,313,921,811,012,725,949,309,434,871,136,430,010,991,660,715,891,896,
876,405,173,499,904,348,681,814,396,116,176,430,938,516,409,139,032,019,998,
870,824,881,685,263,436,933,268,274,874,369,769,221,844,163,941,578,374,509,
039,852,255,437,067,034,474,345,971,208,283,157,857,182,231,044,433,498,829,
550,119,711,959,145,948,301,952,996,906,115,102,963,954,895,651,597,293,548,
421,020,807,661,455,884,701,101,833,113,701,672,739,412,461,175,559,266,582,
185,020,291,018,937,500,438,937,136,949,226,190,340,480,740,437,921,933,269,
094,597,641,076,656,388,043,586,069,113,761,825,837,440,411,287,124,451,741,
577,766,433,198,999,402,451,999,742,152,420,519,661,503,181,571,963,435,381,
394,607,938,171,917,055,862,765,117,363,813,851,252,954,625,274,390,678,543,
297,517,018,587,961,710,554,952,940,518,438,475,426,926,443,035,020,268,206,
565,561,413,069,183,637,504,245,890,847,881,217,443,046,882,575,066,256,131,
492,501,096,366,333,679,077,147,545,249,120,290,790,921,771,160,627,243,653,
427,513,991,516,086,070,508,489,851,273,397,137,523,009,545,742,991,910,462,
802,089,599,065,902,291,828,057,716,983,401,872,777,518,150,169,180,215,502,
381,159,877,116,411,126,093,569,089,523,353,557,989,077,110,275,458,941,853,
240,370,045,424,046,479,715,386,545,223,687,793,916,925,398,312,647,976,591,
981,697,072,135,909,227,796,818,404,620,196,347,501,113,068,412,208,589,258,
386,456,240,209,995,198,483,062,022,966,191,471,989,325,637,643,331,213,133,
187,559,380,782,289,882,304,108,270,545,456,708,572,405,548,252,515,694,182,
360,082,536,481,245,588,742,347,414,805,594,240,469,730,530,404,960,899,038,
989,244,055,470,968,022,618,237,708,831,729,170,706,059,268,828,099,935,937,
231,190,874,308,320,039,090,999,825,668,951,889,536,739,061,649,527,386,522,
039,532,283,481,474,150,197,369,689,562,143,738,219,176,806,425,346,246,896,
499,974,188,277,409,832,272,247,448,241,406,601,437,990,017,911,012,529,791,
652,559,393,789,969,755,636,877,466,738,100,525,453,046,083,219,846,023,748,
290,587,208,676,987,711,107,674,128,216,011,577,807,327,558,637,807,343,578,
028,145,062,674,326,616,669,714,216,066,295,590,168,325,153,875,350,473,198,
699,416,178,583,487,345,560,117,234,852,665,434,878,967,593,806,818,527,136,
385,623,182,564,125,462,290,085,080,859,547,965,608,646,167,224,703,150,462,
869,243,115,474,859,418,988,469,460,696,351,046,447,448,009,081,396,518,730,
593,247,643,982,910,913,130,349,420,936,230,241,096,032,399,466,068,365,261,
220,551,282,031,072,557,852,946,894,480,783,866,427,540,257,405,942,366,868,
938,766,595,460,335,141,481,300,007,659,007,176,330,901,200,842,624,680,905,
399,183,857,592,788,223,151,465,423,376,792,223,155,350,189,642,228,076,710,
328,142,566,641,518,519,505,528,662,698,538,756,181,552,055,558,834,390,876,
925,751,125,671,099,345,636,545,503,855,226,318,771,814,157,674,357,995,315,
310,128,122,003,208,479,646,565,296,166,896,352,241,093,812,285,336,383,770,
983,225,753,620,105,795,602,620,199,801,067,338,348,232,460,151,829,252,733,
429,950,096,854,675,427,063,691,961,803,124,297,024,672,021,185,814,043,234,
278,167,697,508,156,773,602,906,923,866,737,046,297,336,936,782,331,310,643,
354,164,600,623,217,937,529,099,256,214,031,833,467,433,303,002,495,461,691,
933,577,877,528,548,575,184,085,991,995,717,238,381,376,137,335,996,255,039,
966,002,704,363,134,688,859,670,627,983,487,475,753,224,008,069,684,860,170,
336,608,169,993,754,515,029,466,389,437,162,361,035,670,782,738,763,216,476,
145,223,635,756,640,821,958,391,672,108,127,011,432,146,737,422,083,454,768,
166,051,959,457,474,716,562,790,175,639,268,898,175,533,342,479,695,891,288,
217,214,361,178,699,606,901,889,367,249,630,836,042,050,132,511,613,158,265,
770,985,649,888,938,056,966,813,832,163,882,818,297,121,817,866,344,176,718,
166,811,422,847,705,386,013,398,601,873,652,944,861,552,656,240,236,080,608,
986,423,468,539,582,503,619,179,483,614,780,076,611,117,296,264,375,755,182,
286,500,907,623,128,009,937,309,093,563,760,036,858,166,625,157,126,728,074,
149,656,317,117,059,241,619,023,772,535,820,911,188,574,098,706,965,476,452,
688,428,703,621,131,994,592,021,793,146,398,566,460,820,382,913,545,855,893,
947,522,483,555,280,502,777,924,662,063,679,163,154,873,170,819,528,172,900,
329,869,101,105,640,263,571,285,148,904,905,252,903,740,362,921,367,845,871,
650,593,965,856,529,268,012,442,614,820,020,346,516,491,176,085,287,035,766,
646,807,869,185,055,868,954,484,194,644,624,270,130,534,090,136,063,944,155,
213,868,706,301,182,268,693,591,485,398,045,788,824,951,663,262,840,765,908,
041,987,592,697,797,332,105,730,114,210,363,519,161,228,732,895,191,052,090,
191,584,121,829,561,958,451,945,255,278,652,063,066,509,485,537,646,671,911,
985,334,346,697,951,361,287,796,114,004,753,120,146,285,331,353,992,244,085,
096,415,035,029,577,755,098,806,925,157,866,802,035,387,883,172,410,386,189,
820,582,001,426,161,622,128,842,014,425,093,460,238,056,029,117,174,027,545,
541,591,595,575,400,450,356,082,644,527,654,562,836,558,943,835,562,900,718,
250,679,006,229,103,201,700,136,388,059,378,120,500,663,910,119,780,749,855,
086,198,529,951,664,939,396,379,380,669,308,803,516,972,793,550,888,634,583,
054,773,456,581,813,560,842,933,075,041,040,295,660,534,151,132,512,855,158,
848,127,519,558,742,481,616,319,426,321,043,828,924,818,117,805,747,247,699,
867,225,468,157,117,355,793,752,333,566,893,147,080,092,903,289,397,822,913,
492,348,150,164,650,400,476,419,064,373,051,372,841,759,649,658,840,073,130,
043,509,862,683,205,719,310,725,976,509,612,018,001,198,452,062,430,399,925,
233,142,570,258,312,027,750,654,819,968,142,584,130,732,205,070,789,774,843,
737,377,246,744,354,341,954,769,091,004,552,542,529,811,661,655,020,547,091,
931,114,788,666,507,093,108,299,915,691,320,582,802,419,898,188,201,488,318,
282,828,778,636,860,716,226,670,284,741,140,063,249,841,665,435,866,696,288,
069,765,279,354,831,132,989,137,813,044,750,925,711,473,618,930,001,515,909,
012,454,930,609,937,359,559,174,104,738,667,638,995,052,120,127,168,841,166,
815,032,528,530,056,430,368,622,459,214,938,539,576,568,525,120,598,581,827,
705,267,586,211,609,162,665,093,063,774,475,794,434,130,082,768,056,648,609,
494,843,784,279,569,546,865,348,231,266,085,135,827,419,688,919,724,528,868,
292,782,841,157,648,844,327,236,062,124,534,582,061,759,420,941,301,645,811,
499,349,776,942,349,280,231,878,979,765,807,949,991,558,606,046,271,237,466,
245,496,635,028,114,393,376,378,128,386,195,094,354,408,130,141,666,002,910,
276,048,714,506,966,457,402,788,373,021,108,373,730,903,161,687,061,037,978,
433,666,711,842,123,932,430,499,042,215,183,202,746,272,215,158,195,407,982,
595,188,817,191,081,959,450,270,053,732,823,399,220,717,535,443,815,967,530,
789,186,610,379,157,036,390,753,776,584,654,587,667,776,592,986,972,640,660,
397,620,007,155,587,151,814,140,735,062,151,959,563,905,764,799,712,280,490,
302,411,493,337,122,490,377,461,376,829,010,423,321,129,864,964,251,824,287,
288,154,980,458,771,184,859,458,479,326,937,528,876,424,760,028,196,084,812,
322,365,548,012,408,434,605,537,653,894,003,430,811,294,334,357,274,762,841,
649,012,346,277,901,681,855,755,457,520,579,735,554,752,245,590,655,812,313,
679,078,840,445,005,639,941,153,530,387,326,706,833,125,314,321,575,718,531,
911,956,178,987,392,523,544,459,497,478,830,244,789,053,886,124,423,419,226,
709,693,775,534,763,490,763,710,447,786,406,629,320,388,764,449,772,656,937,
173,082,381,841,854,417,758,666,793,494,627,514,900,218,545,426,821,527,163,
453,899,542,761,408,027,945,105,009,079,396,496,958,885,164,134,998,295,294,
167,443,976,064,218,770,275,586,961,994,615,906,809,663,439,412,821,081,787,
300,983,993,871,478,909,106,427,214,743,097,717,922,438,035,816,113,353,951,
376,756,472,210,627,430,485,427,101,010,615,389,192,484,343,733,131,575,532,
574,477,383,496,197,566,758,339,691,435,943,885,543,293,680,025,919,751,913,
135,807,800,027,575,439,290,356,021,381,919,077,563,740,922,553,852,894,253,
732,254,972,208,758,173,966,172,285,584,853,171,549,156,904,126,682,253,428,
290,773,926,543,299,180,952,834,233,980,331,549,370,801,941,095,335,069,514,
002,848,316,899,262,625,799,585,806,257,110,700,785,397,242,012,900,107,903,
256,060,662,028,576,934,595,569,558,295,998,267,646,544,513,706,527,728,469,
813,335,444,739,067,968,082,725,076,861,975,614,130,563,035,989,164,374,002,
051,475,544,073,018,769,895,336,638,011,266,867,900,391,471,341,726,200,726,
455,789,911,962,085,137,028,127,723,229,019,192,056,608,320,868,358,396,621,
002,406,304,757,149,139,355,653,911,870,047,746,202,982,518,114,239,438,950,
302,237,636,668,317,245,381,756,369,002,873,421,955,954,347,321,594,965,277,
212,819,706,553,185,451,947,311,650,328,694,542,707,222,516,583,026,503,465,
591,918,760,134,321,126,571,975,248,445,922,320,536,089,622,004,326,617,930,
825,160,392,506,687,565,755,400,076,439,119,076,567,094,547,254,656,250,726,
312,921,378,189,706,969,242,142,812,297,479,556,061,072,348,342,738,972,816,
272,499,427,922,202,970,647,811,991,627,396,850,871,678,972,075,944,767,095,
509,015,366,413,674,478,807,776,009,719,567,726,362,739,726,285,553,391,677,
484,005,264,022,706,401,457,077,323,936,711,020,758,840,646,442,444,452,457,
475,621,567,055,018,836,942,784,886,867,979,147,415,333,993,043,088,686,440,
397,889,323,661,774,603,830,254,002,803,129,234,435,172,758,162,280,035,997,
590,878,499,714,323,972,830,087,079,925,935,560,376,181,978,329,642,291,242,
041,565,596,552,345,009,506,618,578,228,819,103,488,143,458,168,953,871,286,
313,693,004,717,996,335,586,787,295,639,076,341,296,943,422,350,963,405,027,
738,434,699,255,658,031,778,772,417,461,349,720,835,296,871,136,248,080,167,
245,423,994,583,604,136,720,917,539,426,992,517,320,009,996,065,457,868,618,
760,203,870,588,099,917,702,007,744,316,794,268,575,679,099,421,483,699,691,
844,304,594,302,278,742,636,536,128,288,405,960,483,790,195,720,839,080,507,
933,066,033,706,229,200,654,326,862,426,565,066,432,293,418,752,131,645,233,
462,083,202,048,772,519,087,820,167,434,585,202,239,695,679,683,515,020,044,
906,764,241,738,295,035,979,077,687,199,094,304,918,901,260,632,486,090,206,
601,391,987,589,775,413,862,118,326,339,378,622,563,127,254,157,255,541,916,
077,611,274,647,581,974,142,863,647,973,890,978,572,838,815,150,200,396,383,
571,118,280,849,220,582,687,549,294,383,113,920,592,707,306,674,026,733,996,
162,037,124,163,561,625,551,343,466,945,976,987,219,417,339,596,979,764,597,
744,049,113,985,096,922,553,466,815,158,138,381,804,432,734,113,102,592,925,
974,575,395,133,761,216,417,421,143,727,632,545,027,239,346,463,185,560,381,
953,819,245,149,694,437,244,737,487,728,663,382,571,511,331,851,883,598,473,
757,581,719,382,784,554,098,558,705,261,323,417,876,312,587,712,310,841,516,
513,664,876,749,736,131,120,389,969,751,225,130,504,427,279,997,760,039,127,
207,974,970,361,975,390,301,786,782,983,362,273,205,771,444,603,766,604,710,
216,309,121,895,221,249,815,813,199,600,833,097,762,307,447,949,343,864,560,
376,048,071,272,713,806,618,311,990,812,183,195,868,219,581,523,742,246,267,
434,893,770,796,889,875,742,956,781,041,503,955,877,016,963,532,664,875,225,
944,500,337,063,098,746,647,199,529,114,263,771,901,321,254,786,153,649,839,
472,456,910,114,116,370,242,061,756,149,381,384,978,193,177,648,289,868,924,
753,216,820,046,450,726,010,987,265,647,017,355,322,353,232,656,545,841,542,
581,055,920,780,092,933,627,986,328,917,742,345,706,458,306,826,443,370,892,
035,355,438,407,107,936,497,597,354,687,171,882,222,077,776,206,461,821,278,
476,055,417,753,835,067,138,365,263,966,018,208,132,559,549,765,679,382,720,
155,289,941,744,302,726,370,262,808,738,421,027,089,253,895,363,200,893,531,
553,461,537,824,697,945,648,254,138,674,125,666,365,451,999,648,142,982,310,
347,848,570,891,743,078,366,172,012,202,001,593,831,807,809,153,255,707,689,
947,515,579,975,762,767,153,045,697,244,241,961,590,340,113,292,215,565,507,
691,232,991,388,750,831,860,890,791,180,465,793,133,597,918,843,901,815,361,
269,886,833,272,412,457,213,961,000,868,075,144,637,257,496,414,521,575,782,
791,887,442,794,769,496,886,464,058,183,512,604,402,410,119,297,783,942,078,
811,261,316,805,581,159,204,966,587,837,109,651,950,454,699,627,565,062,471,
127,997,956,984,509,027,834,563,540,679,842,414,003,037,131,180,021,067,258,
310,966,334,462,509,765,273,706,616,913,463,202,258,691,479,532,665,430,604,
389,281,877,626,272,510,731,342,602,954,322,923,714,621,487,799,974,013,626,
962,366,041,312,156,562,269,752,984,610,460,703,175,990,903,989,211,753,147,
098,894,341,770,286,884,442,743,390,560,219,055,223,087,662,425,191,521,641,
808,832,273,239,938,480,815,866,224,507,258,527,826,470,112,767,107,516,946,
761,097,215,419,117,094,282,168,850,812,772,480,152,605,802,886,713,118,998,
867,502,209,902,226,060,490,631,261,420,434,006,386,210,257,045,429,145,879,
886,871,529,099,700,618,646,671,100,334,612,569,846,249,948,850,437,907,365,
470,868,733,984,564,681,653,743,139,385,990,943,565,811,981,052,709,897,465,
704,607,023,314,723,415,642,355,257,127,975,864,081,838,119,367,959,537,775,
815,876,126,797,922,411,319,867,072,716,336,853,550,322,220,926,167,751,583,
546,995,153,964,719,590,453,556,376,785,806,433,221,063,372,999,774,724,716,
641,275,314,672,087,489,142,917,736,144,822,235,277,841,798,587,607,865,905,
106,865,805,176,232,302,175,386,442,578,030,407,649,440,172,047,514,636,660,
086,952,313,955,450,798,781,144,974,317,025,848,063,827,483,290,224,081,800,
367,665,691,950,256,913,008,972,269,173,561,551,770,176,550,038,679,040,913,
073,197,576,645,813,076,713,669,219,156,271,374,637,654,663,745,337,185,388,
750,112,641,207,912,816,529,800,638,885,002,817,607,110,425,310,882,951,106,
633,296,776,802,645,413,901,432,795,983,555,650,100,947,454,862,629,065,274,
978,785,845,356,833,650,925,616,897,407,903,133,526,622,285,298,863,841,432,
515,130,767,453,663,333,285,138,511,832,641,658,363,124,586,980,055,851,471,
475,220,493,247,597,966,824,533,145,043,523,386,885,944,912,660,513,304,481,
056,946,439,712,679,811,522,264,448,260,738,549,123,500,557,748,652,617,642,
017,143,598,047,478,166,388,974,814,743,467,602,758,129,326,680,068,329,431,
204,308,048,501,666,657,125,806,141,494,286,266,410,097,091,207,511,852,945,
841,893,910,417,585,906,765,297,192,010,158,693,621,730,833,992,279,580,910,
220,033,255,715,166,053,604,560,852,629,190,107,330,917,241,821,046,646,286,
522,763,998,609,640,597,016,772,516,913,475,393,300,751,274,200,695,104,660,
198,518,591,461,149,377,348,303,025,454,403,764,115,126,511,954,582,766,263,
913,415,353,429,890,370,579,675,884,794,571,971,576,648,525,828,946,354,276,
922,299,200,010,119,355,592,038,137,830,119,294,209,318,294,438,725,023,652,
410,822,870,147,722,456,404,631,545,337,272,261,011,004,196,120,345,573,671,
489,467,356,375,500,480,001,530,713,378,970,877,777,366,939,625,788,678,333,
439,888,860,247,441,785,503,562,334,799,723,916,160,059,716,389,251,196,758,
421,794,114,743,032,479,832,553,406,348,909,964,769,482,922,855,769,552,823,
539,771,693,729,384,273,167,482,020,003,165,602,474,845,875,624,311,076,238,
679,651,408,164,009,717,334,623,725,880,608,859,368,385,002,028,251,641,265,
359,090,469,340,321,416,530,457,973,424,903,236,737,689,629,140,589,592,594,
047,751,289,077,701,816,516,102,059,266,592,605,656,887,086,946,882,180,542,
222,314,024,335,530,116,441,930,131,130,213,129,496,249,866,655,439,297,020,
281,729,793,705,709,834,675,802,630,744,657,717,295,161,816,357,729,449,746,
851,808,379,696,713,614,736,910,773,433,353,484,661,009,409,377,777,305,284,
806,736,560,601,066,834,010,832,359,452,967,986,054,744,813,372,782,245,403,
494,311,694,177,207,291,645,101,254,763,073,892,446,917,196,383,893,449,359,
644,234,415,586,207,461,752,228,130,932,780,074,418,103,467,780,294,134,532,
957,758,116,198,835,932,804,161,553,229,787,518,483,623,879,716,541,598,050,
327,099,066,627,010,423,983,754,178,211,726,310,789,099,457,714,728,073,214,
957,986,331,074,568,068,386,124,378,705,718,459,947,607,357,482,230,824,119,
594,966,008,565,449,996,952,514,492,200,088,132,478,779,554,520,440,042,187,
591,392,787,259,593,845,412,567,236,670,739,531,648,532,038,065,679,295,688,
683,565,005,777,172,876,678,980,617,017,068,035,421,038,618,514,992,810,106,
818,089,313,929,844,403,142,977,875,322,599,702,183,902,880,115,272,185,540,
178,094,039,913,022,153,741,727,061,429,963,718,624,007,802,043,870,783,648,
508,320,069,708,162,466,592,235,362,836,864,454,410,515,752,619,214,721,651,
252,567,183,667,927,299,085,456,548,682,624,402,444,638,426,096,098,733,407,
625,076,449,318,726,587,188,232,098,870,924,077,974,399,853,904,237,365,208,
015,757,352,325,803,987,456,456,321,273,148,503,005,619,626,316,253,548,616,
007,808,350,554,829,435,432,123,754,136,651,474,183,940,538,774,573,554,113,
651,729,418,310,486,261,594,830,283,630,986,370,991,857,019,322,243,885,068,
997,425,776,670,081,684,591,672,180,728,559,658,749,509,319,149,801,914,280,
243,525,190,749,395,193,710,940,337,400,148,511,649,005,663,159,004,575,272,
768,612,961,259,761,742,858,757,189,948,842,772,528,727,477,709,321,002,776,
238,804,240,866,606,995,770,747,893,994,557,471,255,344,127,335,867,926,750,
891,237,020,252,352,464,322,994,852,967,085,897,187,103,541,450,851,990,302,
318,280,588,964,053,716,477,719,316,603,383,538,866,051,740,588,046,227,242,
531,285,038,102,805,036,760,809,696,365,922,156,538,625,102,807,332,222,325,
242,694,287,688,925,425,301,820,349,672,362,784,423,477,461,548,473,903,131,
476,567,486,141,675,387,687,331,216,710,019,616,353,030,927,591,156,543,720,
327,189,487,917,370,196,808,847,503,130,190,041,697,021,919,805,253,589,494,
444,446,143,026,763,954,032,956,889,574,366,022,055,321,773,377,996,513,192,
478,957,653,753,654,233,798,713,864,671,145,612,466,043,327,158,126,092,220,
016,677,530,432,611,002,045,818,333,458,701,292,694,645,942,936,579,418,126,
649,963,262,886,802,146,752,272,940,388,051,303,592,484,781,049,546,247,028,
790,087,145,608,763,572,544,411,597,918,210,290,083,401,885,706,470,291,820,
935,897,045,535,581,259,754,050,218,088,925,993,203,093,776,528,497,498,828,
778,269,611,150,791,369,379,048,007,937,081,845,023,682,788,944,151,794,888,
552,623,174,837,046,471,094,752,903,609,489,091,069,980,883,381,811,424,485,
421,169,868,071,694,446,016,330,731,710,738,845,684,203,365,352,502,403,022,
695,488,495,622,531,098,049,728,531,945,083,279,105,727,533,008,190,649,784,
748,318,120,494,895,891,054,582,213,952,126,080,803,479,606,109,654,078,000,
425,862,483,054,240,732,625,001,805,949,987,103,592,374,833,704,096,189,571,
865,648,855,306,827,253,917,183,047,649,802,575,676,200,487,973,600,738,704,
628,913,015,138,212,650,648,631,272,427,869,185,079,439,900,674,934,928,168,
432,895,204,411,741,732,741,804,743,653,283,442,483,921,555,774,361,811,021,
470,246,209,837,214,949,220,945,801,150,434,630,337,011,283,672,968,546,731,
469,717,726,250,916,312,419,145,595,735,025,683,117,181,667,028,610,228,678,
638,015,719,853,783,588,338,531,883,744,261,425,103,129,285,916,971,465,929,
317,653,558,943,538,151,084,755,593,056,739,969,926,189,968,389,258,661,115,
584,760,400,421,302,863,656,839,912,122,039,188,859,547,572,361,275,300,688,
815,869,624,296,736,793,149,575,647,698,807,549,447,115,177,622,203,728,560,
205,577,714,846,656,306,749,809,916,915,248,956,629,186,282,363,439,063,322,
202,084,761,951,366,632,329,639,553,720,440,982,639,012,981,388,046,010,840,
777,905,800,811,472,104,687,079,035,027,176,124,218,909,078,363,664,239,317,
571,233,187,917,374,110,742,051,808,623,185,249,131,542,633,162,973,942,176,
571,034,996,563,932,248,176,743,012,993,595,426,961,868,788,215,572,947,687,
828,086,288,257,000,535,639,306,408,025,155,982,376,516,653,144,273,626,649,
287,588,467,430,918,341,110,565,487,661,598,799,829,545,679,291,613,220,941,
818,086,657,816,813,407,717,795,963,035,189,773,436,383,935,458,925,923,364,
047,576,433,437,701,926,162,342,855,059,208,083,115,334,168,497,465,129,376,
278,835,147,106,351,633,158,075,442,141,142,111,683,381,795,591,375,545,364,
073,836,382,251,883,559,009,522,229,490,668,650,931,630,559,529,778,318,037,
851,774,570,077,500,966,928,925,769,381,639,655,103,158,111,360,042,533,581,
286,765,223,163,658,425,886,989,630,016,549,967,306,499,552,980,561,381,289,
590,122,709,453,919,967,536,961,764,993,710,526,046,448,672,809,498,584,657,
830,161,957,335,084,642,835,013,173,934,514,572,821,785,775,348,597,230,785,
649,164,436,118,289,445,419,716,467,591,588,349,014,924,500,960,994,863,902,
271,628,160,282,502,340,021,732,194,176,625,972,382,043,425,781,678,386,854,
449,379,864,135,309,149,085,805,359,677,606,978,446,244,904,582,556,577,089,
623,149,804,029,416,099,300,634,988,072,217,413,730,550,359,809,987,350,819,
854,785,628,725,738,026,171,235,537,315,383,583,361,536,927,632,123,588,149,
401,307,964,748,263,571,247,799,269,640,320,807,035,087,565,360,388,848,497,
802,944,199,835,954,718,608,671,385,215,809,521,104,438,368,005,214,955,934,
055,244,991,865,902,781,200,673,537,837,140,549,323,707,218,912,012,879,621,
054,311,315,630,308,348,551,868,703,977,461,126,354,404,543,967,046,722,795,
585,149,817,373,771,591,635,918,412,004,966,801,772,093,317,854,731,524,355,
716,526,616,136,046,208,800,349,993,084,484,676,478,489,479,031,018,864,359,
338,706,386,155,586,431,325,521,889,655,948,328,236,518,085,486,392,446,133,
170,303,984,963,095,688,938,599,475,875,186,292,894,822,984,057,870,777,329,
815,128,310,201,174,321,718,998,341,076,978,311,553,239,566,514,231,015,350,
033,394,243,005,351,204,594,648,308,860,578,648,270,582,072,128,516,119,198,
318,017,419,159,552,222,683,424,532,327,158,083,421,239,642,078,784,281,362,
585,997,048,244,178,506,802,432,288,480,988,208,616,237,241,731,522,128,841,
149,359,308,838,211,047,240,073,193,594,730,581,936,569,492,873,561,972,591,
232,497,672,774,198,874,991,905,045,144,330,946,762,968,782,484,191,675,018,
685,607,559,633,351,924,955,874,431,139,478,562,933,287,214,835,576,184,679,
095,527,840,155,574,046,328,762,160,579,375,195,181,416,373,118,770,941,422,
956,833,239,530,070,523,952,304,553,711,323,997,993,636,120,946,534,931,216,
619,391,717,093,050,598,791,431,124,933,272,556,583,234,005,240,587,746,305,
826,702,752,272,007,324,431,529,669,497,665,369,344,885,784,304,421,803,844,
919,137,274,125,675,388,864,689,528,517,328,477,658,256,788,126,203,313,080,
489,605,558,452,231,703,471,410,671,188,006,404,178,385,830,457,606,577,986,
912,129,921,970,708,390,595,789,133,506,360,380,241,901,502,133,479,058,370,
983,402,080,918,205,738,670,099,121,650,764,432,420,080,880,484,357,629,628,
632,424,597,759,496,075,311,873,887,497,118,712,273,592,983,635,539,184,917,
806,648,146,258,317,016,873,592,876,949,990,628,297,159,777,321,770,783,358,
819,103,626,887,437,622,238,780,447,086,332,831,885,900,923,531,847,999,457,
516,233,253,653,782,940,682,852,357,522,162,693,086,517,523,419,468,604,050,
216,390,108,243,560,513,237,266,100,589,926,687,781,362,260,710,950,266,603,
691,591,991,225,594,357,824,967,986,468,218,779,142,357,212,020,674,802,354,
036,514,551,272,083,780,778,272,415,007,350,415,470,070,792,536,205,110,522,
089,043,199,811,879,896,879,909,136,210,900,067,497,849,607,633,270,331,027,
566,270,042,719,384,436,806,547,620,415,492,235,586,451,210,604,008,378,089,
987,120,862,969,481,193,045,364,338,309,624,253,834,712,210,901,188,144,711,
878,102,645,797,612,730,235,639,042,348,379,966,679,142,343,386,273,651,805,
419,304,069,494,177,222,947,572,771,285,376,657,639,397,761,684,674,359,661,
132,116,475,072,625,561,497,372,132,376,988,411,371,291,615,928,339,458,006,
200,344,427,926,795,032,268,404,616,070,552,650,099,526,920,037,423,183,329,
310,025,015,216,540,068,385,945,025,899,905,475,497,362,169,052,175,711,666,
802,000,548,032,348,854,252,437,996,204,645,738,455,519,875,371,605,827,967,
963,454,101,079,920,931,156,433,906,363,740,955,021,090,058,442,254,610,130,
040,451,481,475,596,028,728,276,012,746,429,617,997,135,387,428,938,057,409,
062,007,616,849,031,161,364,899,830,654,164,664,562,852,780,405,059,784,962,
859,047,314,227,445,794,521,523,948,069,400,584,399,070,481,684,531,028,829,
837,643,482,874,119,742,603,748,691,705,247,889,375,344,924,057,458,670,264,
981,052,788,020,829,101,714,616,750,674,673,463,946,278,210,888,980,358,880,
373,335,978,377,755,123,632,947,527,888,644,563,834,471,882,404,223,778,340,
688,731,923,421,268,771,787,151,007,842,510,508,509,844,567,205,208,693,854,
468,162,510,978,448,135,869,221,335,991,088,509,272,741,386,326,395,757,307,
999,530,546,427,517,596,365,953,980,350,391,896,473,082,807,788,711,267,551,
653,964,151,535,926,087,681,104,393,641,705,151,213,338,976,218,767,901,373,
787,030,491,554,809,941,499,347,404,460,862,588,061,409,823,141,593,000,162,
065,653,252,548,496,850,971,186,380,792,075,939,067,513,893,281,502,551,240,
115,012,985,432,023,058,819,647,731,067,528,534,981,600,013,297,885,973,216,
451,722,647,648,981,222,464,712,871,037,414,113,350,327,095,067,677,851,173,
403,271,320,083,996,703,104,585,921,008,700,196,200,845,504,902,320,562,004,
514,942,182,990,027,738,353,890,254,632,709,270,797,920,335,341,593,216,896,
805,320,369,524,610,882,104,351,563,574,918,494,906,885,549,309,338,258,760,
721,638,876,905,574,220,761,830,069,317,188,096,596,743,711,983,727,051,807,
014,004,589,798,710,083,759,182,866,810,232,668,461,042,559,732,906,724,757,
594,099,448,415,128,725,756,731,678,398,094,057,520,368,426,688,966,641,576,
998,180,775,606,062,419,931,653,475,771,071,262,200,742,998,286,656,999,085,
704,644,945,890,518,972,656,128,013,651,932,177,978,541,042,961,399,621,993,
184,154,085,969,142,118,850,586,323,565,217,237,290,384,734,522,281,116,353,
328,180,381,318,423,359,414,353,726,537,867,209,839,550,284,879,757,061,054,
151,837,362,509,717,579,905,047,666,215,955,370,434,920,147,380,473,880,029,
181,565,850,433,626,415,366,451,111,631,428,455,719,979,215,749,323,203,800,
364,374,465,005,492,287,572,367,078,356,900,005,832,326,097,259,913,692,919,
371,571,516,944,428,976,034,539,698,002,962,675,663,652,868,923,229,173,503,
868,885,805,464,489,845,281,814,420,397,162,636,353,761,165,427,532,762,538,
114,286,232,346,338,280,965,221,117,362,083,366,465,230,870,534,415,298,432,
543,336,789,678,814,910,620,663,007,521,844,548,687,297,408,174,223,039,661,
167,831,500,423,730,826,965,730,726,469,402,056,721,741,286,738,517,313,065,
341,708,875,891,905,196,826,470,022,539,968,256,994,740,408,657,973,930,126,
038,790,652,289,620,607,048,378,520,171,568,537,396,402,602,293,440,169,014,
421,485,380,419,223,049,331,397,071,915,716,032,290,708,248,220,361,926,562,
061,118,792,990,113,829,148,376,116,516,862,646,281,437,881,038,787,272,646,
247,939,800,811,346,362,965,896,329,134,645,231,101,287,093,030,357,167,662,
868,022,983,448,013,280,307,354,481,207,283,359,901,674,919,062,864,195,366,
183,931,759,407,911,075,826,408,190,453,751,962,837,588,444,219,792,737,488,
497,624,567,513,404,497,082,544,327,513,095,329,966,470,724,427,044,720,178,
331,500,291,710,957,475,901,573,457,077,567,086,029,132,895,729,578,500,993,
974,160,082,121,306,730,929,043,258,068,158,971,676,940,069,394,249,256,483,
668,893,749,889,038,213,690,400,052,337,795,830,637,872,245,333,201,752,181,
339,385,287,404,989,961,360,459,911,380,746,225,791,540,653,023,816,283,375,
143,371,535,764,702,918,537,844,888,847,415,977,149,804,576,114,360,484,364,
986,486,575,503,015,308,077,288,843,834,989,564,282,047,216,288,057,827,552,
575,928,255,878,596,094,598,412,424,197,653,013,751,442,191,628,312,727,157,
546,178,372,731,761,575,545,541,479,575,375,185,897,810,633,971,998,275,747,
396,548,792,367,023,632,109,829,673,700,833,744,507,151,805,045,377,631,982,
429,536,799,963,070,284,969,668,741,066,448,281,405,306,134,271,863,351,321,
964,262,416,718,394,962,533,798,740,622,927,255,957,412,930,642,671,295,257,
865,368,778,894,900,819,620,882,759,535,222,202,140,437,834,324,371,621,416,
559,259,686,766,594,291,083,399,649,039,388,855,528,862,325,240,185,803,020,
734,427,270,588,260,768,968,868,469,156,363,697,896,223,076,836,701,044,519,
562,940,120,159,195,063,855,420,197,508,256,936,915,572,880,299,441,633,799,
288,093,436,359,973,928,199,857,311,481,926,219,969,926,960,706,322,984,820,
567,581,241,594,372,390,889,438,283,343,069,394,855,323,106,750,551,394,761,
483,555,529,442,440,611,243,631,584,804,573,231,240,986,563,640,147,615,604,
696,377,292,918,529,991,216,101,400,504,768,895,672,118,648,654,939,873,515,
135,738,011,004,341,088,314,285,881,384,127,903,731,785,249,966,803,009,067,
469,895,159,305,090,340,794,492,266,355,389,704,646,920,640,168,034,772,286,
660,074,660,193,664,887,928,943,652,266,721,216,823,119,174,214,196,974,680,
817,987,265,964,163,000,555,114,444,308,763,557,815,096,355,632,418,328,223,
011,205,174,498,039,662,652,409,811,356,557,642,862,922,488,290,719,047,277,
984,285,504,478,088,369,375,739,743,997,581,672,460,423,382,231,219,082,653,
457,875,513,142,474,050,513,864,423,131,127,285,935,206,045,269,309,650,631,
214,611,119,839,908,714,560,868,895,063,086,740,645,079,543,739,548,231,254,
352,401,407,372,036,288,266,474,903,533,921,713,627,860,595,438,879,522,645,
639,876,803,288,661,315,344,194,128,216,630,567,957,193,426,971,519,177,746,
332,930,013,958,351,887,575,744,942,237,527,510,298,719,999,868,612,664,882,
179,326,617,776,341,484,854,877,067,405,263,212,435,547,781,454,921,340,232,
709,877,540,573,629,593,039,144,067,465,130,634,411,694,806,290,326,144,614,
257,805,283,992,299,392,812,125,733,972,641,324,617,603,854,792,194,033,523,
728,436,787,888,812,513,088,336,140,729,371,762,797,404,214,964,586,188,805,
412,799,472,164,415,404,803,466,357,086,980,507,219,589,771,376,040,479,933,
865,339,300,315,932,043,318,488,923,025,150,735,531,348,978,195,468,286,930,
928,640,906,828,330,455,182,709,154,444,789,180,763,059,423,901,728,937,508,
618,208,336,083,669,225,307,590,096,825,061,928,546,511,968,336,838,228,696,
911,874,892,712,674,525,465,599,435,908,303,777,596,225,695,989,415,612,617,
222,758,353,171,758,516,092,699,069,924,149,599,649,487,934,357,289,245,627,
697,908,865,375,443,280,491,770,059,828,105,435,476,927,940,853,685,202,818,
928,681,551,775,089,230,793,047,827,626,446,461,442,053,122,509,197,133,271,
758,368,545,934,441,560,598,735,355,625,366,493,614,803,156,862,445,054,830,
903,315,937,209,503,797,601,348,629,592,020,671,129,994,661,336,255,652,066,
416,597,842,898,576,857,852,285,966,450,590,632,563,487,458,157,125,077,770,
895,097,383,971,647,504,571,606,947,037,997,274,196,552,381,836,549,362,249,
956,659,537,106,757,564,331,130,640,969,599,843,995,748,871,256,164,548,873,
267,430,196,318,098,337,795,889,759,043,290,626,428,167,418,635,221,193,340,
377,565,547,973,643,867,982,459,746,415,660,877,180,344,080,526,347,263,148,
579,542,840,202,808,404,827,489,790,060,210,185,420,242,918,766,955,147,067,
076,411,708,884,352,586,826,769,306,520,862,439,869,919,620,810,518,028,155,
951,588,882,939,112,344,824,298,514,863,704,098,668,789,098,691,568,124,848,
499,633,504,009,910,650,816,081,905,940,178,291,627,010,370,791,083,373,340,
706,588,216,165,211,372,773,002,103,296,933,172,802,667,307,860,813,660,878,
925,786,744,697,797,863,585,506,125,791,686,138,023,204,322,687,369,037,022,
953,997,768,456,889,692,968,518,423,296,604,598,570,308,148,820,757,198,254,
403,453,478,700,681,812,041,656,854,155,037,102,585,147,822,689,015,072,109,
328,184,978,967,998,709,968,344,893,403,799,610,099,381,517,903,762,688,553,
422,677,748,604,764,617,309,083,273,809,727,348,944,703,153,432,403,176,508,
721,015,818,797,132,626,394,645,748,367,683,040,716,226,526,688,994,326,761,
242,605,338,320,718,238,173,914,209,790,350,877,873,325,628,202,555,013,663,
267,916,462,571,450,913,991,586,720,018,638,058,394,813,339,374,895,306,560,
523,330,574,855,236,349,977,589,496,177,293,952,724,130,932,876,267,015,833,
572,181,227,823,089,496,531,567,943,261,960,620,440,160,703,598,151,554,926,
077,634,042,024,126,033,917,299,361,372,404,606,850,673,663,286,568,449,927,
481,448,560,811,056,390,208,575,169,340,322,601,703,791,418,943,049,439,667,
773,791,831,323,287,687,955,482,815,303,442,813,846,020,305,106,724,972,446,
413,227,005,642,768,365,208,923,354,452,981,126,763,702,965,483,296,258,849,
176,542,769,008,958,386,913,003,091,257,908,206,653,146,994,155,469,098,773,
184,247,242,151,500,791,473,873,244,096,987,709,707,337,356,772,947,024,501,
609,593,339,136,644,226,147,070,477,118,373,288,278,041,633,261,045,939,176,
361,492,183,457,992,647,225,666,446,759,838,464,414,971,304,558,897,731,386,
746,594,072,110,695,582,425,636,823,344,590,994,643,228,770,502,471,405,764,
642,652,613,877,777,118,023,308,864,595,740,159,727,074,252,840,956,811,062,
697,366,065,682,100,566,138,712,668,149,540,783,461,741,432,608,867,194,211,
272,424,332,623,369,002,869,419,254,823,107,934,671,643,450,985,063,865,562,
704,805,090,648,728,611,097,288,898,052,178,219,389,645,615,892,606,828,695,
458,340,433,077,250,764,482,504,329,635,665,876,640,265,419,636,850,775,083,
169,275,137,165,391,386,815,083,035,104,187,535,741,484,202,641,817,125,850,
252,085,204,083,001,594,514,755,467,429,245,562,991,975,461,104,007,450,817,
523,257,670,281,456,440,540,180,489,339,370,031,082,037,664,531,547,536,618,
253,258,135,472,688,973,852,369,894,659,728,230,416,542,632,685,596,335,261,
324,195,194,922,766,317,652,389,560,037,132,276,398,563,933,963,115,013,222,
072,817,296,675,557,238,473,568,374,059,982,656,244,328,195,378,862,678,114,
448,267,584,278,099,859,781,306,983,791,613,765,922,853,342,622,696,483,349,
534,379,955,749,000,181,146,203,229,215,863,129,487,419,077,042,768,411,838,
616,554,833,533,554,837,470,003,542,327,389,748,502,690,963,030,311,656,692,
776,866,444,052,611,886,617,892,912,047,909,177,594,139,326,729,439,785,706,
008,855,358,407,835,894,945,439,049,609,352,436,434,042,141,602,368,000,698,
171,005,817,813,961,232,983,514,173,964,172,571,138,196,460,331,635,014,462,
040,092,105,961,415,759,412,195,443,557,109,685,593,829,831,969,214,365,414,
699,890,753,448,840,922,454,295,779,902,257,831,656,931,512,058,957,704,453,
900,624,099,213,438,838,203,323,613,594,728,673,473,806,806,373,096,500,119,
334,469,146,091,976,097,190,750,559,003,768,713,668,035,436,349,500,453,237,
468,283,846,775,216,133,434,898,065,928,169,462,564,909,442,142,266,298,149,
417,348,110,793,765,780,534,523,017,302,262,587,303,852,386,985,104,373,222,
524,620,942,235,336,935,788,904,185,010,220,142,015,339,543,117,418,088,152,
993,592,999,703,778,138,018,542,320,304,400,839,227,646,309,883,080,090,442,
217,904,250,580,873,079,503,182,172,480,816,853,564,671,605,904,466,253,498,
712,724,719,593,805,301,802,546,714,227,350,569,411,992,663,340,156,401,300,
926,427,444,917,405,495,674,517,753,342,502,974,845,826,017,668,080,243,028,
148,508,346,662,755,924,170,043,163,834,147,580,721,116,873,592,383,982,408,
686,532,977,997,858,822,145,190,834,552,740,384,593,979,077,618,163,749,246,
983,918,427,163,029,047,867,163,010,495,096,538,278,179,149,194,182,366,140,
197,831,812,719,645,585,912,924,501,220,831,970,586,274,375,570,051,794,035,
351,292,967,739,331,096,977,257,034,004,725,225,287,048,550,003,983,143,945,
903,784,994,047,867,110,631,240,265,322,907,194,955,142,023,699,622,927,622,
305,848,265,093,998,646,568,926,313,718,011,859,256,221,348,098,128,374,581,
605,032,305,434,008,028,593,143,033,797,850,037,537,664,541,821,073,517,642,
791,400,001,266,930,207,396,879,263,375,019,136,183,403,459,850,351,489,042,
391,695,735,548,578,423,060,825,716,107,238,895,022,259,372,850,250,251,004,
363,533,904,391,029,859,437,648,817,533,673,457,255,572,620,996,756,397,009,
445,987,446,034,049,320,381,078,750,884,428,119,878,220,465,960,104,907,688,
307,131,258,007,131,107,126,407,902,587,562,802,320,216,799,478,746,721,236,
031,011,799,952,017,298,167,085,875,037,802,085,771,315,654,308,296,911,229,
763,245,525,624,364,332,353,008,964,794,073,770,664,082,450,640,912,423,443,
668,127,150,756,226,403,339,012,162,712,843,308,907,836,449,180,396,421,865,
834,528,469,212,636,477,457,978,663,359,255,196,141,235,610,794,531,425,636,
148,179,345,132,185,086,948,068,482,742,121,926,327,403,874,084,532,072,239,
332,401,550,461,823,087,481,659,572,205,402,777,204,078,199,877,074,143,148,
430,645,075,735,044,697,490,347,069,974,951,274,411,687,528,014,273,554,528,
627,853,689,244,060,147,043,227,290,374,247,706,830,857,433,600,116,951,321,
517,739,805,342,811,947,023,091,053,280,300,666,849,276,796,474,827,920,358,
226,367,371,085,245,816,930,028,855,657,945,222,182,816,075,227,324,177,158,
781,210,449,088,988,227,298,379,321,923,296,311,539,245,698,976,611,077,843,
045,765,826,722,368,737,023,794,184,043,342,766,039,530,171,329,174,175,449,
787,156,139,391,664,042,499,663,027,308,668,660,351,293,832,054,772,664,950,
940,120,645,840,317,744,984,438,536,184,272,367,364,995,640,216,204,954,057,
609,382,597,313,074,292,190,763,399,380,349,700,670,590,526,057,657,055,853,
286,509,983,307,691,532,747,432,410,581,047,991,162,741,696,323,774,608,951,
354,893,553,343,363,234,364,550,954,453,104,335,642,631,807,242,029,074,859,
510,910,930,594,547,282,200,593,955,436,387,965,080,596,161,355,174,288,524,
871,845,123,987,335,868,933,235,490,796,326,960,265,616,282,609,445,157,499,
297,437,892,954,897,815,620,457,614,760,991,449,611,266,381,703,545,644,264,
252,829,491,675,764,291,303,651,718,049,897,810,209,957,403,411,310,001,636,
688,853,478,997,369,286,573,292,588,526,025,440,629,675,569,579,683,455,553,
482,002,992,394,280,885,354,187,724,264,403,810,307,207,661,915,630,993,737,
604,394,880,013,352,666,353,833,678,420,108,744,253,257,463,610,765,986,823,
935,048,955,128,398,412,354,488,191,987,382,967,236,944,616,754,451,696,878,
432,967,378,787,268,674,072,477,084,074,350,996,270,899,541,143,825,288,185,
111,505,474,173,650,453,063,986,148,657,931,649,588,507,944,669,231,644,868,
062,595,585,025,945,325,317,460,547,278,252,710,348,212,126,890,666,381,495,
919,587,672,996,286,271,429,190,962,536,534,516,209,402,121,386,456,699,923,
994,178,667,501,044,781,508,407,846,163,420,434,934,670,999,786,606,449,732,
281,080,074,120,914,520,185,766,909,736,727,697,882,206,072,420,482,947,772,
986,225,803,014,540,359,515,977,848,522,426,735,864,930,040,949,345,753,367,
114,175,735,040,784,326,407,058,078,235,587,011,208,075,394,343,005,109,736,
129,752,277,648,106,002,677,727,103,684,261,291,235,202,042,469,834,324,916,
852,516,686,037,616,135,204,634,141,948,913,238,235,880,928,192,396,752,333,
498,348,680,371,193,982,341,371,103,903,042,197,812,367,716,130,480,043,586,
202,760,769,462,068,088,568,162,448,941,032,297,301,391,282,768,164,349,214,
744,325,701,852,347,867,612,709,648,880,842,157,338,551,969,139,702,483,920,
782,214,298,757,226,857,448,966,161,830,848,236,905,132,447,563,038,115,602,
033,589,709,936,524,221,737,309,002,229,105,014,912,981,819,169,937,730,084,
074,530,255,834,633,797,340,480,033,146,646,766,316,103,767,655,567,463,035,
009,834,493,535,665,208,511,438,605,743,607,602,341,879,766,390,794,546,267,
226,089,403,393,543,404,334,748,751,901,944,369,194,612,054,278,008,106,429,
475,846,127,402,587,893,376,855,249,365,746,894,313,127,396,273,127,312,906,
427,210,793,937,373,498,012,793,365,498,265,900,876,171,407,375,162,515,854,
338,049,223,713,996,138,266,000,993,181,746,832,161,554,595,816,909,124,971,
220,355,274,193,961,772,130,198,808,180,085,928,288,270,219,036,202,172,854,
507,405,008,825,649,312,268,360,487,731,444,070,348,202,983,033,709,130,172,
849,353,272,624,811,770,577,327,286,707,253,995,126,259,909,267,221,270,922,
493,714,494,800,388,850,990,246,903,583,808,634,100,789,370,009,063,705,657,
780,490,099,268,781,485,404,745,297,713,713,677,108,728,650,236,143,051,315,
379,956,501,253,527,807,748,786,860,532,933,711,449,322,242,425,249,073,646,
056,298,290,448,323,634,595,595,705,334,197,476,245,120,853,661,785,816,314,
492,977,568,037,966,960,589,994,087,989,145,309,494,586,340,693,559,320,939,
368,142,143,232,323,405,804,521,548,971,920,911,944,084,325,883,793,215,055,
512,147,836,271,758,722,019,514,456,917,210,075,453,895,595,381,625,259,512,
924,246,279,870,750,456,993,554,523,520,405,949,845,004,546,199,982,583,927,
956,325,367,426,393,877,575,828,257,372,319,188,217,975,001,528,275,360,407,
937,868,114,518,124,528,567,197,553,849,653,580,080,099,444,926,273,899,795,
074,710,581,379,843,872,737,375,612,626,392,606,660,586,320,316,321,611,977,
385,070,534,717,547,333,979,385,449,514,606,190,110,493,440,882,822,198,607,
308,153,150,093,305,783,799,142,551,454,195,991,863,519,079,500,989,514,626,
407,849,235,613,226,104,408,886,716,544,240,723,316,584,364,743,206,829,898,
600,316,670,608,930,238,275,984,068,668,121,641,053,955,455,795,639,053,480,
397,182,470,552,856,051,498,727,255,463,499,402,115,898,071,444,083,769,542,
040,643,432,294,657,349,052,265,999,182,713,552,204,267,855,268,434,456,382,
674,242,628,818,885,938,617,172,470,478,858,401,573,700,956,186,014,800,712,
325,279,176,760,864,584,035,013,373,335,296,442,406,877,185,591,822,997,664,
341,983,489,691,394,118,060,442,334,622,153,349,622,115,646,638,437,511,966,
510,916,738,855,901,065,126,038,041,113,983,245,833,337,641,097,966,139,285,
076,443,161,460,125,504,900,643,153,166,548,425,961,534,887,982,308,142,268,
483,520,766,751,041,913,915,962,810,250,536,188,690,280,992,140,118,123,409,
063,259,815,709,694,216,197,002,005,525,611,195,714,744,986,490,069,531,727,
911,608,181,449,015,298,661,077,683,576,157,253,897,548,821,769,089,476,717,
844,460,435,131,786,766,065,869,874,008,245,913,888,567,915,272,352,313,087,
981,821,277,603,056,365,419,938,548,149,516,730,960,079,039,644,028,621,575,
535,451,997,577,672,654,717,476,725,381,592,490,767,132,796,088,914,084,183,
340,726,782,568,424,762,858,805,773,932,880,178,324,109,476,782,965,536,964,
584,518,434,540,961,523,578,717,662,708,395,512,119,481,695,554,224,805,839,
429,288,060,740,033,841,270,815,528,907,638,931,320,585,247,775,556,857,623,
540,452,992,114,927,241,708,025,052,835,774,567,300,475,222,105,453,165,044,
871,829,526,761,030,626,633,660,915,870,743,037,908,309,659,905,995,403,087,
543,266,348,002,141,477,200,913,479,806,002,192,614,520,954,920,446,853,733,
411,595,481,236,897,832,756,102,541,273,396,422,143,077,515,164,145,703,293,
881,303,330,809,562,534,438,781,943,412,045,458,326,383,449,540,126,693,976,
885,013,915,781,613,085,024,611,631,049,941,779,281,423,028,738,399,337,821,
481,546,515,811,408,881,287,110,054,716,396,662,982,078,164,941,133,555,875,
664,157,979,309,771,649,753,943,905,902,310,237,776,917,410,032,504,734,979,
722,059,192,752,051,574,058,244,203,872,462,299,058,769,774,187,029,695,256,
471,147,756,087,015,997,047,188,135,676,443,749,098,978,421,275,853,732,395,
076,853,639,284,502,870,348,114,605,774,215,396,147,966,908,568,629,883,559,
120,447,219,345,530,618,875,473,064,487,763,262,644,743,703,320,417,592,102,
826,961,919,999,370,295,974,086,159,108,573,386,952,729,313,636,881,443,747,
211,174,905,774,559,424,148,048,874,628,115,528,524,213,186,498,043,910,441,
383,704,332,285,373,705,768,276,466,504,737,717,931,209,394,719,526,371,107,
502,184,841,681,767,730,393,432,132,210,335,902,321,725,971,316,459,588,798,
225,348,600,498,611,491,014,290,970,678,543,416,568,146,982,079,709,022,407,
763,812,762,948,882,144,674,894,729,835,139,261,429,832,745,302,171,934,065,
203,191,262,461,694,165,179,091,773,540,599,108,080,188,911,439,152,899,971,
934,966,779,722,172,012,691,294,559,137,894,004,132,907,405,029,805,709,918,
872,207,880,393,569,324,579,789,585,159,501,999,587,163,442,690,062,476,346,
326,379,266,984,250,036,512,906,006,938,989,046,866,412,159,647,925,226,150,
015,691,594,110,085,226,586,512,415,277,475,169,311,134,818,407,867,351,621,
190,209,112,257,406,719,125,860,542,126,173,147,184,081,719,207,439,860,171,
860,024,054,157,194,783,243,370,956,551,108,316,974,658,349,856,441,903,533,
334,916,407,433,551,095,816,598,533,882,055,011,598,205,102,531,477,670,067,
892,408,940,550,206,379,155,991,711,950,477,997,934,385,425,486,665,631,864,
183,685,891,090,001,766,286,196,791,303,626,703,724,133,040,313,310,730,326,
676,908,155,223,753,484,828,168,318,634,472,620,252,076,662,356,891,546,914,
887,391,807,273,124,687,183,525,575,828,789,111,076,218,698,160,613,481,014,
161,706,807,008,947,253,376,717,194,348,587,408,694,689,544,579,958,115,997,
532,854,644,057,769,857,788,514,837,917,181,910,441,244,298,682,387,120,481,
807,924,586,384,404,825,001,563,240,892,886,401,781,577,591,883,984,831,967,
331,903,081,397,599,705,755,710,059,578,796,770,403,182,868,738,811,459,919,
402,319,598,407,294,262,092,496,046,389,258,059,026,387,034,705,063,471,083,
079,275,727,345,977,162,920,841,671,595,061,544,221,301,046,176,781,397,526,
567,606,006,627,000,319,777,384,724,530,931,244,984,660,959,280,527,200,946,
664,752,179,721,258,913,046,501,253,190,863,682,973,895,719,089,126,890,405,
332,517,121,438,879,523,158,863,730,449,288,355,508,183,259,184,882,192,521,
157,551,903,060,947,614,825,546,027,303,124,536,338,271,023,536,867,352,092,
505,710,098,343,282,128,673,578,643,576,505,289,209,342,838,102,580,986,995,
860,188,352,782,860,361,375,983,090,034,468,471,977,953,207,044,973,534,840,
115,994,851,677,557,133,256,244,121,942,601,025,959,984,519,940,936,496,891,
855,657,514,062,370,687,463,085,759,091,321,602,633,078,095,115,162,684,644,
818,090,043,630,213,010,213,464,213,429,717,602,898,326,050,398,443,173,285,
569,593,033,547,352,529,897,932,193,472,003,789,493,523,575,460,630,921,728,
075,897,318,666,868,399,538,111,049,531,706,780,597,698,718,358,102,794,702,
670,700,949,437,861,585,519,053,112,212,844,188,707,045,062,988,549,853,234,
224,709,656,232,965,972,027,477,985,096,755,044,745,870,542,024,526,637,343,
006,227,660,878,659,015,277,555,414,864,320,078,475,115,333,334,368,198,517,
696,236,175,836,642,492,321,443,908,198,221,878,089,095,763,621,572,795,521,
538,848,754,697,024,776,062,664,867,091,415,876,277,236,706,625,533,407,788,
930,115,493,052,922,823,935,660,556,645,363,197,477,616,172,919,111,491,092,
090,029,944,473,172,323,658,480,595,995,839,591,328,116,520,554,015,031,477,
431,524,886,725,377,540,222,621,907,149,442,801,550,259,786,390,341,323,694,
239,687,922,944,454,462,313,444,305,564,957,595,976,906,100,077,413,754,277,
714,064,465,956,218,358,195,670,180,891,238,304,816,095,170,931,271,412,976,
512,989,159,002,802,565,130,373,651,741,894,757,173,153,659,883,717,182,592,
006,600,741,093,818,626,570,127,740,732,117,378,078,014,962,049,374,457,830,
334,119,240,085,836,044,697,376,977,050,076,533,611,369,324,571,809,142,783,
073,303,752,094,383,911,027,488,258,179,747,405,136,984,012,965,801,991,697,
857,660,827,331,847,222,324,783,609,546,284,688,682,011,871,480,426,390,821,
116,949,293,033,232,474,728,296,027,974,471,041,204,458,987,905,342,357,896,
551,554,902,875,575,046,029,537,614,746,530,546,645,617,828,862,311,624,768,
911,016,473,197,706,441,523,083,657,051,745,891,579,855,976,324,062,752,782,
410,851,672,138,234,612,652,151,133,897,811,941,402,450,863,608,869,344,277,
697,798,120,663,634,614,442,983,751,014,561,050,666,221,695,541,460,675,335,
916,398,994,673,962,275,815,496,059,834,976,987,685,357,768,122,846,118,708,
662,040,504,998,936,353,731,743,727,258,182,374,328,277,152,932,414,302,005,
282,098,032,606,870,452,005,472,330,468,440,701,960,300,933,292,569,202,331,
657,506,623,731,561,574,959,081,156,057,835,552,009,761,720,311,307,491,279,
915,071,357,672,428,959,459,287,837,450,524,631,612,231,540,725,458,821,139,
780,344,007,321,419,168,896,214,451,960,323,775,350,037,676,697,079,330,842,
670,322,879,059,001,292,563,431,285,785,760,083,566,970,978,953,936,820,527,
251,081,545,998,930,787,479,583,487,298,563,134,626,912,446,899,140,801,336,
683,581,956,620,601,003,666,844,739,284,688,257,994,592,780,169,369,105,843,
672,066,158,499,823,743,505,014,797,908,861,178,618,394,435,482,767,578,129,
590,552,148,329,388,902,042,812,978,171,646,392,984,977,261,701,804,053,441,
750,408,221,774,389,022,555,802,845,985,625,600,781,616,406,534,885,276,169,
800,544,061,026,452,192,915,152,172,957,796,114,988,979,628,483,190,769,266,
636,865,790,481,746,265,742,890,278,832,218,832,608,871,337,535,280,789,719,
241,826,609,395,622,682,940,125,380,853,486,042,163,036,376,368,692,735,147,
896,131,153,300,969,306,782,455,022,918,380,830,582,393,609,670,529,005,934,
053,915,038,995,790,520,296,100,877,334,956,149,478,319,748,025,775,464,129,
978,296,083,524,873,588,906,236,718,037,671,999,118,181,953,269,373,648,848,
989,658,419,653,936,932,553,507,347,741,044,372,986,429,340,358,082,448,426,
175,522,022,867,798,939,519,100,307,508,872,478,272,193,007,531,523,031,837,
649,951,980,375,153,198,205,352,045,143,724,131,592,432,154,683,923,373,257,
310,651,213,395,035,813,552,251,311,819,235,126,662,886,352,176,883,079,524,
231,512,660,844,170,584,756,920,786,023,573,946,433,196,586,956,167,711,690,
052,249,450,877,786,193,645,532,324,229,681,134,472,398,932,145,696,921,086,
308,787,593,481,235,279,135,204,323,655,382,638,472,788,710,840,260,623,459,
387,879,127,042,373,413,585,017,047,846,715,350,523,374,697,407,590,636,856,
146,473,440,548,736,895,867,491,585,997,769,989,078,239,079,407,527,825,809,
756,287,707,571,742,157,464,123,772,122,442,967,839,580,647,641,352,325,818,
765,386,967,362,948,758,077,436,554,323,260,696,662,755,401,010,552,527,751,
833,718,798,930,330,516,879,890,568,010,754,205,144,105,323,526,818,250,806,
620,401,037,264,422,213,373,484,829,578,240,338,741,618,569,958,774,460,844,
515,280,897,249,442,023,910,106,996,433,415,847,059,466,293,590,343,693,503,
973,084,168,330,140,771,554,462,356,832,942,458,529,037,278,986,789,252,000,
334,955,998,556,602,077,363,008,784,695,161,927,304,112,015,671,547,671,835,
876,479,965,603,372,974,149,705,347,097,328,657,100,772,368,144,267,793,811,
664,403,461,086,492,364,319,977,193,958,892,309,733,288,226,217,433,452,924,
185,046,538,897,279,828,937,671,246,480,717,528,898,456,863,209,393,765,047,
504,712,768,514,443,688,154,962,255,047,447,607,729,353,068,870,677,072,094,
873,513,456,988,397,535,517,903,464,030,724,994,182,514,233,240,259,557,208,
050,762,236,250,917,205,830,336,701,309,009,592,812,778,078,860,788,181,944,
366,198,013,813,648,186,171,450,024,355,632,450,402,271,162,361,288,788,626,
399,476,087,237,830,888,744,659,869,737,045,706,157,043,365,410,871,846,439,
677,456,486,054,334,952,341,700,367,810,211,218,087,841,341,553,150,453,313,
814,842,926,821,970,641,786,972,003,154,792,984,732,307,830,573,402,529,582,
795,990,219,222,165,655,815,176,110,570,458,301,956,603,830,038,544,107,964,
797,562,279,055,672,459,357,854,740,704,832,028,560,607,909,825,516,635,885,
962,600,631,524,151,085,292,216,672,114,405,731,480,061,705,179,871,003,035,
989,944,487,779,905,193,467,288,838,424,786,876,017,504,848,959,322,470,451,
291,296,625,470,388,793,290,035,602,668,591,883,768,204,092,959,696,561,532,
752,545,799,213,347,893,903,685,621,806,796,481,776,647,450,911,208,283,350,
348,258,378,997,120,901,981,849,620,204,960,196,240,301,540,687,095,125,049,
974,921,845,812,477,038,502,322,559,825,889,668,650,437,304,433,958,763,275,
293,908,134,831,937,291,958,899,538,083,935,724,683,260,980,875,276,205,786,
157,726,553,588,342,928,239,241,783,999,561,132,589,469,769,985,331,541,974,
368,186,838,058,670,941,483,043,258,532,233,882,818,207,434,883,714,302,882,
902,591,684,289,242,553,986,216,373,358,780,100,437,345,172,132,347,925,815,
234,892,111,133,449,996,221,224,953,546,448,516,842,691,006,744,763,011,144,
889,989,879,706,065,132,125,899,914,860,468,017,249,304,317,866,888,920,413,
755,400,343,572,102,688,253,303,790,877,975,427,784,471,472,847,792,087,174,
239,209,207,859,901,377,357,011,108,908,864,548,565,973,108,767,066,216,598,
511,424,065,046,067,146,745,663,216,680,185,305,260,081,753,849,197,070,471,
552,455,883,001,478,498,099,573,656,318,896,581,071,807,547,607,266,517,027,
978,599,319,183,049,216,942,766,191,834,526,010,815,072,568,473,920,259,307,
677,394,388,481,136,718,555,862,752,697,853,530,914,448,853,077,259,980,191,
681,195,764,991,058,935,863,280,864,020,403,520,473,353,456,773,516,706,123,
830,434,517,093,561,399,581,348,847,825,144,325,942,282,467,871,519,680,787,
475,375,643,669,402,091,459,761,276,795,633,320,221,271,918,626,843,536,763,
873,361,462,107,855,190,843,065,635,523,721,861,723,234,319,292,116,629,185,
711,208,701,352,066,151,001,301,260,398,691,434,540,867,527,863,933,292,247,
149,104,196,872,141,899,999,917,393,203,863,345,228,822,387,541,591,294,539,
395,001,137,556,326,587,697,914,060,220,965,818,433,778,796,948,317,436,160,
951,698,947,969,566,396,869,467,849,328,016,835,100,566,314,524,246,801,422,
636,449,207,417,641,190,484,334,344,760,977,284,649,342,390,910,988,555,014,
661,941,081,095,268,151,319,926,001,673,726,762,716,567,198,061,395,123,172,
205,900,727,445,041,836,014,553,239,964,133,257,929,583,578,759,907,127,176,
025,637,233,014,599,460,858,682,891,647,720,146,641,268,782,530,608,800,890,
972,595,578,957,732,108,277,503,770,182,252,217,268,749,341,863,290,423,922,
385,623,205,224,941,185,939,420,508,224,084,664,423,393,457,528,616,307,671,
745,821,524,224,545,934,820,605,239,602,360,919,731,594,709,886,708,223,880,
252,137,259,406,326,381,086,773,757,857,521,462,341,467,542,469,208,356,192,
756,654,830,934,663,904,479,287,926,880,197,412,080,659,586,915,610,227,909,
481,727,895,939,981,519,596,216,538,166,912,815,303,063,641,805,445,599,996,
042,954,716,192,976,645,749,659,776,482,404,332,675,825,482,444,060,856,965,
325,404,770,213,538,611,282,170,809,142,365,663,513,184,361,747,632,180,538,
056,691,305,495,959,825,749,861,084,099,380,437,702,666,876,916,430,858,066,
284,326,215,323,633,535,630,576,312,980,497,627,861,478,977,626,797,499,985,
313,987,604,346,130,961,864,239,424,557,022,103,799,753,652,593,462,369,333,
648,293,043,723,940,651,610,080,296,205,311,559,792,265,858,792,475,330,185,
047,580,132,780,078,016,099,414,059,009,964,476,721,118,199,446,432,486,305,
487,552,284,578,192,684,470,432,366,959,486,881,169,388,212,710,900,419,886,
508,846,084,853,218,213,119,212,699,191,326,831,911,178,473,728,595,980,920,
640,339,857,270,090,498,644,007,424,755,294,090,556,671,023,434,116,857,950,
974,867,920,278,521,957,261,110,577,239,578,802,743,844,141,735,994,372,566,
715,015,052,215,022,637,304,658,771,411,554,234,351,929,686,503,346,037,068,
412,826,339,730,755,154,042,690,401,178,479,627,401,956,442,123,517,227,490,
528,809,110,622,002,864,161,712,206,566,566,742,263,112,755,510,423,474,044,
146,506,123,941,544,050,235,900,327,107,427,009,544,564,974,200,633,580,761,
094,812,713,414,142,185,620,766,360,981,505,158,883,661,210,777,262,960,654,
980,678,803,130,314,078,194,626,628,736,323,680,201,836,602,792,952,979,419,
321,317,218,770,016,690,442,286,612,257,352,608,793,353,900,803,901,062,102,
994,822,455,014,004,937,054,764,167,520,889,155,257,186,480,408,099,417,965,
653,702,657,031,485,759,939,978,547,714,286,883,084,267,474,578,103,904,704,
513,638,393,964,132,390,793,778,746,339,481,709,617,374,929,771,129,909,100,
210,343,459,360,117,168,513,978,167,706,582,074,265,495,112,149,238,294,327,
975,511,432,410,394,875,681,040,715,055,850,469,727,665,818,919,483,505,835,
991,587,611,123,646,853,085,577,862,431,482,272,311,037,483,200,612,154,849,
782,507,857,106,075,655,686,853,430,749,873,499,774,023,102,119,242,661,956,
573,551,339,753,910,183,443,381,971,334,067,068,462,559,634,412,665,884,894,
331,517,649,495,748,693,467,734,309,646,488,482,971,391,453,803,458,909,539,
473,402,783,865,238,027,844,076,049,517,322,545,826,913,196,362,409,407,953,
917,039,975,553,197,104,159,356,054,091,309,350,044,733,664,993,973,741,603,
397,632,871,814,515,338,303,538,713,684,368,329,902,755,068,599,811,767,499,
871,205,581,948,624,157,179,291,805,170,851,824,339,472,980,754,671,513,042,
815,755,738,079,246,755,360,928,737,273,549,814,884,535,895,910,091,401,764,
570,947,065,863,162,975,229,020,283,971,464,859,675,328,346,242,775,523,055,
893,418,386,316,042,275,590,583,855,867,164,297,917,383,654,082,201,960,019,
210,576,199,315,966,839,694,729,261,890,682,712,404,473,124,721,576,040,206,
571,949,583,437,173,956,565,458,924,637,305,929,493,154,744,937,155,180,713,
336,851,202,942,590,762,030,763,103,015,244,985,969,798,984,900,604,984,409,
492,851,597,243,331,617,599,444,177,605,078,353,050,150,596,422,110,577,439,
428,369,517,588,075,562,622,767,943,788,072,345,817,928,026,231,238,606,976,
611,419,859,717,845,841,840,105,202,085,997,033,950,304,389,820,525,683,568,
128,317,232,167,475,255,025,200,249,979,604,257,347,828,587,552,363,546,330,
725,970,125,139,856,694,037,212,514,799,240,026,057,601,079,727,608,846,496,
751,674,723,599,245,388,015,640,391,063,517,823,997,787,544,322,402,354,090,
218,101,605,523,706,072,241,289,059,418,333,342,161,268,526,398,562,281,647,
855,688,832,164,561,989,210,553,721,089,318,372,750,203,111,264,915,663,949,
069,489,032,512,381,082,995,493,573,447,386,125,493,618,970,486,049,818,295,
160,193,635,918,351,410,360,289,448,629,807,810,055,244,214,759,363,835,789,
322,178,333,377,611,809,921,131,034,590,641,290,539,908,469,381,622,729,614,
520,518,051,537,853,131,469,879,430,719,971,661,704,095,873,245,121,682,081,
304,444,450,393,068,684,544,621,947,675,853,454,629,574,238,563,389,488,777,
643,705,294,578,963,018,519,126,139,493,290,289,244,314,075,965,601,970,019,
950,673,395,376,584,988,476,891,166,353,117,761,786,666,846,360,413,602,486,
384,780,116,500,520,915,164,620,440,417,131,031,149,259,619,484,307,823,452,
239,573,283,579,929,844,019,619,991,786,438,706,130,321,930,663,826,056,008,
179,602,721,224,993,148,013,739,642,459,132,620,729,009,749,011,500,331,833,
464,678,289,338,593,683,408,169,921,453,772,377,746,693,459,796,995,285,845,
333,879,774,907,173,826,283,446,967,235,448,255,310,318,417,338,378,116,951,
476,168,216,608,068,051,039,594,799,456,331,160,022,520,890,723,004,165,479,
923,431,265,209,128,636,580,285,002,750,903,348,309,366,347,482,436,125,070,
311,011,841,338,975,463,943,377,769,633,773,273,846,697,891,296,479,053,928,
685,293,167,910,701,028,855,430,348,559,352,446,003,554,487,775,294,710,055,
190,517,491,871,513,912,272,442,443,277,454,421,386,973,531,621,702,665,090,
990,228,375,128,665,551,036,968,166,603,492,311,712,905,472,080,668,505,978,
766,349,763,409,559,400,552,190,780,195,975,490,426,352,272,821,349,587,950,
879,686,397,780,199,222,985,598,161,799,862,505,273,482,715,094,895,761,130,
524,025,530,346,139,945,968,561,645,756,172,551,643,011,199,678,117,462,068,
230,950,791,451,900,744,914,504,727,679,936,461,451,453,131,226,617,362,073,
103,861,528,212,940,128,876,867,592,101,117,361,926,377,146,940,101,870,094,
494,417,036,098,300,175,951,227,986,484,951,160,196,125,654,770,104,127,001,
967,620,522,974,490,089,840,869,289,461,742,583,950,144,064,836,958,267,470,
938,760,928,104,345,516,720,361,174,396,579,703,626,421,501,333,569,546,857,
073,781,025,115,867,360,021,885,727,622,918,575,561,063,050,631,437,562,510,
334,360,961,892,958,013,780,823,316,474,601,551,890,722,343,472,384,424,406,
930,507,848,301,149,433,116,923,765,058,097,268,843,314,021,162,261,074,529,
580,239,488,676,031,058,082,161,405,334,928,490,874,779,792,196,972,709,868,
202,092,771,364,612,994,836,568,171,340,285,579,157,339,375,635,538,329,161,
038,242,584,957,277,360,610,132,852,127,073,629,326,291,831,615,116,511,764,
436,140,611,480,746,079,547,309,465,740,805,552,364,088,654,896,563,587,132,
409,857,499,351,372,114,596,897,044,451,485,639,536,705,875,996,080,121,763,
629,702,012,867,453,129,512,900,607,621,940,817,692,480,122,922,477,956,062,
127,664,062,287,378,834,892,689,982,534,914,227,466,732,354,990,351,795,000,
057,328,416,287,125,152,838,363,422,281,233,214,871,921,037,249,833,049,087,
504,644,351,518,824,175,010,126,444,738,982,557,402,243,985,991,776,434,650,
609,596,619,098,978,575,451,276,171,236,712,478,863,437,663,048,618,312,775,
500,517,179,852,201,104,749,284,718,391,532,654,845,310,465,800,914,829,055,
102,693,103,046,055,871,380,176,997,751,122,776,346,572,628,516,688,172,627,
762,349,269,784,850,034,670,326,378,094,717,737,554,973,106,939,408,419,328,
143,471,535,310,118,595,214,747,210,657,881,316,560,803,233,537,363,262,480,
789,655,688,191,285,365,525,757,265,812,645,434,638,120,191,211,631,937,459,
614,475,892,600,465,294,363,731,498,649,091,411,008,377,724,868,382,885,807,
845,432,943,275,624,318,477,942,425,148,805,993,352,452,547,563,132,992,464,
982,158,682,210,432,736,386,991,729,042,449,834,565,633,136,363,408,383,016,
374,542,629,394,769,392,472,938,458,341,435,785,051,515,904,456,261,518,775,
839,086,854,812,255,410,946,382,926,927,703,194,205,293,080,579,918,815,599,
787,107,247,699,905,220,321,823,391,863,951,373,100,005,276,017,087,079,604,
952,626,168,105,996,207,782,144,418,880,216,408,793,530,012,435,656,357,925,
981,241,324,815,913,644,012,091,047,918,976,474,083,388,987,829,087,455,914,
139,766,660,559,367,555,244,475,689,894,190,590,190,869,540,753,017,809,809,
769,910,400,724,690,669,678,544,693,657,965,906,657,759,948,634,286,321,024,
768,784,844,893,696,212,079,749,208,836,009,644,847,166,422,386,442,785,563,
142,473,496,447,523,665,638,153,122,706,222,507,740,273,918,313,917,087,890,
416,601,110,103,931,609,180,696,278,041,400,637,383,142,686,587,856,293,008,
763,948,077,557,038,144,084,505,914,183,688,689,512,542,101,840,552,379,894,
365,395,385,900,924,339,012,631,605,952,944,163,016,681,536,738,439,453,848,
955,630,064,587,577,644,615,090,088,329,261,705,215,499,708,368,161,174,074,
902,311,287,998,517,258,553,009,623,672,883,599,708,153,594,053,101,495,561,
499,436,992,143,689,774,032,522,594,575,527,016,787,105,358,107,307,235,780,
864,186,436,510,613,858,375,535,319,433,487,459,456,266,862,869,929,049,900,
833,713,111,192,925,882,582,932,860,344,077,124,002,524,962,396,225,923,775,
138,151,119,753,366,378,787,039,612,104,677,456,396,586,774,448,828,314,905,
760,631,079,420,299,356,598,340,876,626,866,406,724,631,717,098,064,799,189,
310,968,642,254,507,013,970,932,895,300,386,903,940,694,879,415,119,188,948,
374,914,447,039,940,479,215,798,136,263,743,973,422,253,846,903,866,300,850,
467,532,709,337,230,948,376,097,944,689,391,648,381,994,902,181,690,907,548,
073,695,506,835,826,533,536,866,356,233,262,962,646,312,095,140,324,573,499,
757,578,488,085,140,419,894,340,020,866,809,694,456,476,180,805,456,664,242,
587,190,185,911,279,812,407,848,270,627,949,820,865,475,949,755,079,909,859,
297,169,654,128,371,641,761,319,977,130,536,605,975,082,949,807,082,871,151,
912,386,938,488,261,789,289,271,889,973,441,256,827,180,383,499,305,061,617,
947,175,787,269,611,389,473,402,761,399,894,648,750,896,293,103,464,911,120,
905,188,508,846,066,685,950,532,140,941,919,760,748,648,428,154,946,997,945,
013,373,670,372,775,733,388,618,950,912,367,680,701,636,068,193,102,930,815,
215,846,557,570,621,339,534,786,378,434,580,421,799,917,088,676,019,285,860,
092,846,061,577,067,658,877,058,188,607,059,879,444,405,099,483,869,778,660,
234,447,331,520,441,847,634,474,370,056,202,878,521,598,784,227,472,433,923,
969,548,909,439,008,207,976,378,421,912,879,792,342,763,255,754,983,460,428,
126,516,035,842,612,429,312,637,582,915,657,898,591,217,236,978,063,190,823,
637,739,699,412,139,439,201,799,817,234,208,854,009,545,779,685,319,499,168,
762,423,057,102,606,705,744,690,465,073,844,366,147,340,018,962,317,742,879,
730,153,798,525,377,082,316,923,014,655,753,745,184,045,327,527,767,310,159,
930,225,015,580,967,185,733,553,285,881,604,995,269,220,679,426,129,698,009,
335,764,295,237,260,936,522,402,208,679,420,487,531,320,754,749,060,015,172,
345,730,832,751,671,929,432,162,344,636,002,149,971,439,670,365,840,459,728,
749,926,057,023,852,465,835,960,654,763,027,850,486,477,306,651,185,210,180,
374,930,710,405,359,665,021,600,038,217,865,699,388,675,332,995,033,120,730,
279,064,475,482,449,553,147,458,581,950,811,341,643,212,836,759,454,334,025,
624,990,947,307,332,174,256,299,662,384,225,304,337,286,981,191,231,115,007,
831,515,656,997,826,905,475,799,469,519,481,029,084,533,506,150,060,681,439,
636,606,749,138,388,387,150,654,275,762,840,660,714,774,327,500,625,980,320,
143,626,422,692,209,098,241,267,759,124,392,032,231,263,927,625,002,445,610,
186,508,402,412,560,162,049,491,225,628,050,288,882,840,956,138,377,195,362,
959,033,165,465,054,700,718,952,384,643,467,759,861,528,932,106,350,849,379,
983,709,441,383,962,592,272,921,006,137,304,617,735,844,596,117,844,801,888,
080,606,179,519,841,494,453,330,627,593,113,702,087,953,630,902,433,691,469,
606,264,336,545,360,309,675,429,435,330,001,073,661,607,663,455,249,161,321,
425,299,038,056,318,737,965,785,393,808,286,450,276,028,587,823,240,305,012,
022,688,042,043,705,783,722,358,594,087,074,325,423,859,700,272,609,314,379,
476,870,463,201,579,439,924,571,962,095,432,194,636,652,017,429,213,464,902,
289,111,661,779,150,453,541,917,451,327,255,576,057,878,061,459,949,270,374,
567,363,314,340,876,993,510,849,988,137,101,506,025,185,538,466,124,051,189,
233,724,310,716,067,639,088,210,405,360,164,455,813,429,327,519,538,935,650,
213,516,453,293,166,472,535,631,380,695,092,899,065,556,443,321,352,687,186,
896,429,421,445,574,820,550,935,959,932,391,372,542,903,216,473,973,648,889,
301,748,682,811,242,811,035,891,276,331,975,001,859,712,613,099,785,198,765,
699,204,059,774,948,423,809,720,692,501,781,518,998,036,511,465,104,744,857,
784,273,552,236,691,136,688,476,167,427,535,889,663,767,994,419,472,821,712,
096,042,793,560,278,978,029,531,405,448,000,243,316,154,893,530,262,622,597,
213,279,617,792,083,819,706,758,720,285,672,109,089,290,567,737,674,545,163,
005,201,234,425,314,992,458,839,836,315,258,420,055,134,688,089,655,379,372,
096,659,254,713,415,386,599,383,748,664,322,207,507,960,337,555,827,078,436,
099,749,131,104,420,078,240,734,361,158,702,595,471,367,219,684,456,719,773,
157,866,457,917,667,024,670,416,175,123,458,088,191,084,424,601,327,572,931,
602,868,449,732,404,718,063,139,935,733,646,072,532,517,459,752,421,238,717,
256,886,409,417,963,976,152,516,141,722,722,328,333,417,952,902,446,279,694,
006,765,442,835,896,064,796,538,193,655,415,410,880,791,405,502,071,255,493,
092,911,246,455,149,672,630,944,186,733,391,098,604,154,319,353,961,213,074,
141,139,121,267,991,758,159,481,857,638,792,342,729,299,801,442,126,524,285,
930,359,240,501,207,395,829,908,243,422,632,846,091,709,394,480,557,094,195,
158,113,430,088,576,033,128,531,114,452,795,630,679,958,247,795,224,936,589,
247,589,792,775,645,179,704,130,823,677,303,968,132,746,156,628,255,206,828,
701,406,832,118,882,578,316,232,108,300,580,974,972,541,628,014,500,863,281,
199,395,060,583,706,897,937,579,918,817,265,376,197,608,538,332,196,813,643,
957,066,764,223,799,070,744,504,040,305,972,088,486,088,065,439,078,758,606,
444,859,834,697,401,467,647,281,786,084,494,794,231,713,225,184,111,135,483,
130,223,007,480,485,528,444,193,723,706,078,743,171,662,631,094,966,061,512,
832,659,459,285,725,926,249,165,456,508,197,537,009,624,166,278,331,775,680,
219,107,017,511,290,410,165,598,509,162,010,319,047,615,797,885,595,139,698,
793,767,587,197,532,236,291,031,156,716,879,451,421,713,698,974,605,508,238,
686,912,123,167,872,415,654,949,179,827,299,854,941,571,753,523,524,925,613,
325,784,572,357,916,119,918,198,121,932,617,986,041,043,638,192,105,580,367,
114,350,975,585,236,869,575,792,385,383,742,067,474,295,167,934,856,095,264,
069,269,513,174,794,963,200,948,466,918,514,063,439,957,036,156,697,197,297,
533,154,116,408,994,370,462,969,208,413,613,827,148,699,756,242,359,002,192,
133,582,017,313,946,731,328,864,247,634,020,440,540,756,145,760,947,287,201,
724,227,194,109,355,631,124,649,264,521,743,883,684,450,232,068,118,288,462,
559,894,482,207,298,100,367,028,689,859,042,081,336,059,663,902,086,458,259,
263,676,431,557,575,099,861,884,501,141,789,015,504,851,263,710,867,530,643,
764,353,275,604,428,773,551,753,436,889,812,462,450,389,505,235,751,577,587,
966,885,639,017,848,983,130,865,523,385,924,018,120,751,008,628,638,671,240,
698,377,219,320,402,199,587,848,628,687,173,593,528,784,193,789,399,460,285,
659,885,137,944,170,199,050,712,461,902,160,249,583,312,310,778,716,864,833,
051,750,122,916,310,929,987,432,635,410,302,909,746,676,081,618,080,839,677,
336,378,356,381,253,476,885,305,890,061,943,358,693,890,608,032,680,903,113,
957,653,581,730,565,398,888,703,160,445,813,354,727,977,261,312,820,843,892,
700,308,008,152,644,405,952,913,480,954,708,558,183,159,439,603,057,483,031,
645,214,719,573,659,392,923,481,495,685,773,034,585,600,197,565,077,945,508,
236,144,830,405,619,202,683,362,732,898,124,335,785,732,078,877,466,404,051,
154,763,392,831,578,453,488,306,243,201,903,214,520,751,309,279,991,766,353,
864,800,417,218,560,463,349,892,924,746,247,101,353,072,389,947,061,176,673,
146,807,889,681,265,473,794,584,772,859,439,134,306,857,994,515,321,370,531,
532,595,884,393,666,909,209,865,428,422,763,345,512,146,951,196,726,901,391,
659,111,778,462,195,098,078,560,279,686,511,390,035,238,237,600,204,908,589,
525,112,241,689,949,317,951,804,844,292,362,493,213,494,197,367,707,373,018,
919,154,655,695,977,935,120,359,606,170,518,540,101,565,272,642,772,023,238,
915,961,622,625,599,028,712,177,958,090,326,820,045,497,269,622,658,441,673,
053,249,854,496,986,978,680,737,541,276,057,253,834,581,870,589,378,307,986,
830,674,236,801,382,402,715,468,573,594,839,263,073,817,025,127,612,565,597,
270,602,105,104,066,879,040,156,290,609,314,028,516,940,517,600,273,806,292,
935,563,788,306,499,434,330,239,436,934,214,149,621,261,706,464,201,564,814,
315,871,605,665,257,952,760,492,702,410,816,464,541,369,798,865,811,913,151,
329,526,313,486,020,750,726,996,981,238,127,134,279,981,964,723,188,454,260,
786,348,557,509,681,397,915,137,795,829,236,020,459,230,880,246,385,538,848,
863,555,287,755,740,027,771,708,644,836,603,091,628,057,684,413,198,311,647,
799,664,989,331,625,373,329,470,641,867,820,369,634,870,118,143,953,067,084,
252,085,970,425,148,941,806,116,961,228,772,432,285,192,168,514,705,461,675,
849,957,426,819,487,410,796,065,106,501,713,970,642,923,811,458,446,254,097,
794,035,290,210,845,028,884,532,882,164,049,264,034,670,139,592,887,096,788,
011,662,681,115,003,610,051,239,070,156,603,871,120,834,574,883,143,975,843,
940,571,391,945,890,030,291,538,068,056,169,475,439,505,206,016,974,791,236,
028,494,317,873,121,226,312,349,039,769,330,535,710,308,400,447,580,777,324,
520,621,142,861,097,215,766,544,826,021,269,506,547,336,364,760,066,077,346,
726,399,120,878,500,913,396,252,790,611,356,088,075,787,160,125,994,163,353,
321,540,856,683,092,359,813,108,813,548,716,915,550,985,325,140,223,202,295,
230,365,306,412,350,832,955,428,616,269,640,269,023,603,872,847,441,074,013,
302,219,088,607,351,964,438,175,096,189,969,493,643,349,436,042,911,291,865,
278,220,544,938,935,169,619,535,232,533,158,495,079,656,114,536,731,350,203,
968,936,750,402,546,304,854,594,985,604,364,322,800,434,795,196,639,080,149,
144,335,552,392,592,484,148,588,650,542,265,162,077,291,343,864,356,834,691,
724,650,105,209,711,886,367,041,090,867,096,045,421,285,885,928,838,873,549,
394,761,761,203,595,676,017,090,234,754,176,985,683,140,649,851,789,413,775,
855,224,991,294,925,124,038,281,940,841,982,141,189,720,611,581,028,773,702,
411,104,077,656,849,601,051,032,695,872,456,952,319,169,515,562,532,945,869,
564,209,597,184,346,030,091,327,159,007,894,049,874,688,981,092,818,544,730,
801,823,445,992,295,381,856,489,583,729,406,452,407,579,273,361,689,886,243,
222,847,701,868,973,935,042,213,137,079,523,682,948,181,559,269,295,103,525,
672,939,952,349,172,560,924,084,386,430,341,846,337,926,171,400,565,862,627,
274,258,905,887,811,488,888,377,677,078,761,092,710,460,476,656,790,555,204,
273,701,196,155,708,257,955,189,871,574,001,079,199,729,184,944,905,484,993,
091,648,998,285,453,393,202,524,871,245,773,776,694,145,748,071,848,428,596,
293,984,937,367,536,215,169,030,158,702,187,834,434,530,246,168,157,171,076,
633,558,502,830,202,640,456,044,961,967,425,700,250,954,144,916,453,124,889,
594,668,821,989,222,284,547,972,136,971,814,725,945,607,905,905,603,399,412,
774,316,692,151,614,390,645,077,582,701,045,412,699,396,033,283,829,326,025,
500,834,280,961,434,951,556,749,723,457,134,713,015,279,444,355,004,049,784,
876,973,993,730,795,658,914,473,152,533,946,430,454,979,747,317,143,264,044,
101,677,201,900,255,699,945,000,167,310,164,248,239,348,946,039,528,093,254,
213,899,433,325,653,672,275,322,848,482,294,916,214,197,224,674,059,007,993,
065,786,815,003,387,321,364,967,763,205,332,486,395,009,826,730,496,025,269,
894,394,647,370,207,000,251,185,863,125,515,560,528,541,481,630,473,687,976,
722,842,588,828,199,996,576,224,628,079,346,852,167,649,973,912,498,322,613,
375,288,157,830,729,556,263,941,351,206,673,780,329,046,982,534,113,099,155,
049,126,587,175,712,700,347,858,940,551,492,261,309,969,998,335,272,010,624,
806,695,351,999,542,803,954,593,685,237,276,300,648,552,505,564,307,891,879,
118,710,594,861,507,578,902,315,776,279,016,309,778,980,082,205,182,899,565,
230,733,293,818,162,698,428,330,205,298,147,504,220,171,827,302,839,746,156,
140,418,604,717,258,782,000,942,036,430,249,928,267,411,334,459,046,718,806,
873,986,714,503,283,740,940,403,666,897,431,042,744,860,468,263,911,142,145,
850,772,190,614,919,686,394,943,065,988,173,079,894,698,429,309,263,414,852,
243,874,016,285,263,127,364,171,964,017,185,277,611,253,128,223,105,407,835,
126,338,325,975,846,283,482,564,150,784,348,295,546,081,366,098,736,811,949,
411,277,904,669,594,376,417,566,528,657,665,552,208,479,885,741,837,106,767,
113,246,935,412,181,060,605,100,858,392,892,769,776,560,301,235,452,331,206,
243,003,010,973,903,945,594,305,268,688,791,559,191,578,405,775,381,968,585,
982,866,448,023,214,036,572,293,713,439,862,743,343,469,193,467,874,973,590,
604,093,891,066,274,568,116,203,680,564,252,823,890,753,316,555,059,422,386,
818,043,822,203,678,158,006,922,262,407,194,006,630,195,955,097,917,795,254,
548,594,832,216,346,823,143,656,665,531,432,815,320,619,507,166,836,818,051,
671,824,207,873,883,879,844,454,201,883,320,259,995,210,089,761,907,922,183,
196,002,800,843,285,321,876,687,625,464,191,318,285,505,983,645,935,169,647,
290,409,856,912,979,120,294,220,919,250,133,128,047,035,541,821,141,463,685,
616,206,806,607,906,611,797,450,682,722,230,250,188,491,029,105,869,964,187,
533,557,561,738,618,048,624,516,160,278,469,774,066,705,159,267,777,346,684,
850,182,931,715,083,323,307,214,214,626,002,728,072,484,152,867,252,166,850,
409,157,282,601,959,077,048,618,603,924,389,351,245,783,696,331,542,870,868,
433,895,391,345,236,913,110,762,071,870,676,959,969,368,189,815,416,956,012,
204,933,031,864,888,234,399,187,703,769,590,829,098,574,473,297,168,974,386,
193,449,865,996,245,026,115,360,937,319,974,297,687,644,936,753,238,520,828,
935,964,026,193,198,939,495,947,866,195,670,521,553,957,621,141,603,569,119,
170,625,326,700,485,220,408,825,287,325,414,155,233,469,996,885,146,503,904,
293,425,007,311,169,734,107,194,926,095,966,788,705,470,876,694,228,254,038,
815,639,070,146,711,120,717,133,780,488,432,978,182,950,669,456,320,713,263,
445,846,900,973,048,154,235,015,002,572,156,410,858,794,459,035,064,501,531,
657,540,602,058,618,700,256,646,509,577,843,820,299,667,912,696,371,600,769,
677,758,166,184,719,756,703,675,818,155,346,064,966,355,489,408,350,360,037,
007,439,369,953,676,501,422,921,664,941,099,855,444,264,032,563,163,117,477,
847,729,381,746,507,461,859,832,391,063,234,798,686,187,779,721,720,026,188,
316,706,853,013,492,784,394,585,013,713,785,138,034,203,380,806,690,050,985,
257,099,400,542,187,039,256,465,665,360,442,765,920,785,588,276,540,803,568,
098,784,565,429,211,469,084,737,203,128,765,225,579,696,038,641,647,990,406,
766,762,191,902,580,382,960,611,637,279,421,044,640,923,432,430,201,125,105,
941,887,920,471,677,521,191,140,514,427,760,149,652,058,010,043,438,895,432,
404,218,647,620,523,094,469,422,602,045,001,618,048,779,452,516,464,286,349,
870,932,834,905,889,215,989,554,377,674,598,110,039,684,148,596,208,316,776,
356,353,976,158,861,117,033,435,839,855,988,416,263,693,158,078,606,247,360,
390,857,753,817,740,302,873,773,549,979,686,455,456,754,606,482,431,754,452,
192,345,306,084,274,733,922,061,436,411,823,437,369,024,905,445,751,320,699,
524,008,006,401,998,446,640,256,483,110,293,082,054,779,764,698,631,184,798,
849,710,344,694,692,726,961,924,108,561,032,446,519,733,908,238,193,871,907,
521,565,635,375,902,815,301,585,471,646,991,894,544,142,393,887,851,564,133,
597,674,257,755,377,106,111,147,615,635,231,831,626,119,374,461,514,763,841,
065,913,643,860,965,987,150,783,087,090,324,028,802,144,127,842,625,366,274,
144,685,486,552,768,372,323,833,694,092,130,971,866,555,493,164,349,114,224,
861,625,084,263,131,414,505,750,693,185,259,576,587,447,146,036,065,764,029,
956,640,565,055,190,754,218,141,141,764,122,907,712,517,777,900,236,879,931,
168,495,030,794,961,792,190,291,774,298,450,982,940,771,757,828,666,738,259,
622,056,019,322,912,161,321,309,404,663,762,079,790,457,666,792,694,102,600,
090,075,993,776,177,233,429,702,082,917,496,263,048,813,662,637,335,891,267,
870,488,849,731,840,879,091,324,183,554,725,811,509,519,855,322,928,161,949,
181,509,631,511,305,818,560,307,256,727,271,288,035,281,230,949,635,262,417,
162,523,880,605,758,318,335,607,250,125,172,015,941,329,781,980,344,822,899,
059,251,473,970,890,035,854,513,769,323,718,003,975,967,776,601,328,660,007,
329,886,126,170,684,999,601,520,269,137,269,968,521,729,913,049,152,149,577,
552,803,328,426,668,708,073,415,891,721,324,990,789,235,832,334,116,854,014,
357,395,326,533,145,628,883,941,324,132,721,276,039,830,758,840,063,417,734,
722,859,847,977,296,963,316,899,429,397,805,315,257,420,683,864,129,130,166,
911,145,717,645,694,000,192,366,800,600,328,507,718,837,420,877,943,852,443,
237,209,597,901,830,711,033,278,452,419,622,954,144,495,579,788,511,396,858,
291,731,213,487,121,722,772,445,019,966,730,514,177,870,882,937,811,456,535,
368,597,230,937,224,742,463,903,992,243,937,931,858,528,498,350,621,925,670,
070,092,160,823,844,171,413,451,085,052,012,371,569,055,685,861,089,121,542,
578,510,916,407,091,420,563,324,864,045,639,173,957,441,524,564,429,248,199,
766,893,562,313,375,453,460,877,639,509,353,132,172,385,062,879,457,716,240,
507,423,038,566,042,779,524,335,500,355,375,381,992,132,112,952,729,504,826,
085,640,935,745,849,868,113,104,514,842,501,476,872,489,761,346,923,875,392,
012,382,800,012,790,167,331,289,308,587,857,276,020,067,742,353,635,834,917,
585,404,683,591,688,247,330,547,665,014,364,891,999,755,966,047,762,894,193,
537,578,620,654,442,912,444,920,034,985,376,455,756,640,126,139,684,235,709,
593,347,554,545,549,384,989,071,342,039,152,747,802,497,844,736,363,925,792,
164,683,851,316,424,194,510,259,108,580,242,682,375,378,423,075,198,259,308,
973,855,365,054,775,020,384,328,395,985,934,143,487,080,696,467,608,409,271,
223,132,713,467,004,803,583,835,054,798,034,852,553,161,881,742,062,540,462,
295,817,356,401,477,426,347,144,375,403,123,662,170,889,546,977,940,260,268,
418,920,514,895,308,505,632,275,326,589,067,421,393,993,064,508,824,015,102,
362,867,954,736,067,154,303,209,294,551,471,698,570,050,279,372,817,886,724,
212,437,310,572,861,045,061,030,870,823,028,109,436,120,554,153,156,558,847,
598,072,667,602,638,532,326,041,733,990,417,526,553,428,688,202,188,423,510,
029,687,259,635,251,445,346,218,873,810,718,294,133,804,674,148,990,407,068,
067,053,572,802,718,304,260,316,699,166,821,277,331,384,840,788,019,113,821,
834,435,608,091,247,672,012,573,965,505,726,413,525,838,596,216,732,948,259,
255,870,415,779,024,560,053,228,027,640,866,712,377,120,944,339,169,595,341,
578,927,379,705,193,752,038,408,055,140,810,514,138,551,816,187,438,517,954,
197,757,222,786,090,083,236,999,001,498,000,870,527,638,521,976,155,356,038,
715,705,775,206,722,767,304,284,609,316,930,965,384,870,103,935,283,088,068,
780,655,727,969,735,850,276,670,614,005,111,852,457,363,764,926,837,591,015,
351,102,658,295,321,643,749,181,964,726,042,772,239,040,345,276,406,077,730,
015,639,762,981,274,909,711,411,833,527,603,324,064,114,841,556,103,149,581,
769,856,362,773,729,818,962,414,935,715,151,999,669,242,703,545,705,747,238,
223,847,578,787,038,631,631,515,638,349,918,913,390,127,527,298,022,900,845,
720,869,578,629,823,804,550,162,498,108,950,252,566,478,775,860,547,060,532,
602,418,688,226,130,098,168,784,812,323,452,703,343,765,227,057,861,474,054,
143,901,918,364,615,483,758,671,753,669,038,504,918,620,123,665,346,463,195,
501,127,641,788,926,770,800,238,219,153,155,826,009,817,007,019,294,762,565,
163,927,754,166,418,258,450,726,630,453,524,627,510,876,594,799,449,993,016,
326,934,978,552,164,433,031,182,518,045,065,987,280,453,365,195,640,110,809,
043,704,954,226,017,000,388,665,235,555,008,768,926,148,817,857,185,077,812,
369,348,325,783,955,958,668,837,975,175,663,214,194,859,313,004,785,817,486,
641,599,518,700,026,619,698,874,723,187,601,709,132,585,293,813,345,177,796,
391,140,176,048,704,253,595,056,481,746,501,926,552,862,509,482,244,454,182,
040,866,983,189,943,339,528,257,180,095,919,139,389,908,343,754,157,827,822,
515,674,745,073,326,117,464,080,684,467,806,589,727,429,184,522,598,291,564,
175,254,117,431,732,760,131,399,594,102,349,938,728,748,375,655,588,154,029,
359,595,527,412,700,857,734,326,128,837,068,060,958,972,101,275,484,534,104,
488,751,009,768,622,336,997,281,400,090,486,003,197,556,882,734,412,219,745,
566,001,067,161,692,408,653,355,051,276,208,099,785,736,633,048,999,031,857,
120,549,338,172,661,039,028,178,006,012,515,722,428,379,667,414,616,293,849,
243,216,562,300,829,658,133,091,227,250,546,396,921,051,781,298,740,831,700,
755,762,224,081,427,608,960,197,485,217,123,871,266,442,578,649,806,270,556,
720,354,654,079,594,095,040,721,588,460,741,318,666,959,689,032,410,513,494,
837,830,564,255,951,438,004,829,058,110,779,078,771,676,730,852,977,090,308,
828,406,860,754,482,690,084,530,428,373,644,743,352,013,721,866,999,434,485,
675,318,290,272,084,914,351,238,340,830,212,720,862,146,479,067,585,662,229,
955,976,779,589,995,141,136,826,900,628,883,515,761,067,433,520,648,544,645,
563,379,503,184,530,149,396,904,931,559,423,687,813,484,314,592,071,108,339,
690,115,262,417,779,677,442,770,490,890,025,198,387,813,244,073,288,565,386,
883,351,801,639,106,672,164,957,274,583,425,598,617,571,356,979,921,740,054,
681,127,206,897,653,081,825,958,359,129,142,424,438,817,749,648,540,578,922,
691,768,972,087,412,945,412,155,758,710,149,900,887,075,736,958,529,323,526,
900,899,965,075,606,322,500,249,576,036,691,008,451,475,381,837,107,262,267,
402,500,939,247,359,271,779,963,454,173,451,486,893,346,973,796,670,042,358,
175,040,475,226,818,255,125,142,800,715,938,764,320,809,010,623,674,169,325,
612,877,330,425,800,949,162,448,943,829,904,607,390,519,459,906,537,259,681,
380,217,586,308,462,750,196,656,696,103,725,250,714,286,623,583,640,215,268,
897,993,800,491,332,287,578,877,856,146,103,161,382,226,325,246,397,117,658,
918,753,392,711,600,166,620,223,571,090,375,141,548,057,117,409,760,110,151,
447,265,281,900,060,530,481,364,874,517,817,464,582,544,834,042,774,818,847,
348,067,284,004,320,095,133,422,832,390,775,223,951,644,826,294,178,107,227,
880,854,543,127,958,978,556,939,695,616,264,097,877,336,648,664,875,553,006,
511,164,932,131,630,193,413,506,562,830,080,201,877,987,441,730,758,137,264,
356,986,627,087,610,552,807,955,210,650,777,552,650,848,938,380,698,610,838,
368,839,371,880,397,591,465,316,806,619,689,816,785,830,075,950,229,351,913,
407,011,966,793,289,489,234,939,567,830,461,948,209,025,753,663,527,195,340,
104,355,641,673,768,119,065,914,560,927,278,674,210,104,182,940,815,445,863,
554,356,635,293,650,813,299,161,478,775,391,636,361,588,999,072,186,713,870,
075,573,366,210,267,340,110,333,998,399,021,843,448,176,688,258,549,434,991,
372,985,211,285,043,034,427,433,749,466,672,767,656,243,237,582,251,088,538,
882,499,347,752,949,876,410,336,205,359,027,253,982,467,072,547,726,218,001,
034,320,790,121,546,430,961,357,283,700,000,109,494,374,990,556,188,424,330,
632,022,023,234,831,288,354,107,857,867,893,615,122,580,599,306,445,874,772,
503,322,876,745,492,505,399,710,466,133,816,191,573,092,731,558,025,701,880,
892,762,842,840,570,099,219,354,985,123,800,592,229,530,505,122,203,518,838,
233,266,617,011,343,423,509,980,372,893,377,242,112,581,317,863,882,819,506,
899,238,093,994,577,444,430,790,640,773,928,510,659,206,744,612,472,357,734,
894,220,871,941,092,967,481,194,476,799,408,828,568,084,749,655,042,525,934,
343,233,891,353,502,778,805,463,108,485,333,023,919,885,818,339,796,118,374,
657,170,936,685,923,523,056,144,873,365,208,682,550,282,274,233,125,099,161,
053,480,671,128,294,672,602,168,987,027,967,843,043,714,628,627,952,466,953,
025,821,895,372,146,066,659,924,876,810,350,589,279,308,639,271,208,137,447,
261,270,745,904,965,447,369,852,210,227,441,722,426,309,366,465,161,772,718,
438,818,116,025,671,827,795,979,177,581,715,266,598,891,852,221,830,420,922,
599,673,027,081,767,603,451,885,930,209,167,579,342,493,181,916,395,105,532,
778,876,012,791,426,157,199,280,701,403,097,518,429,513,861,083,348,895,708,
380,555,508,542,112,640,549,645,234,206,499,231,964,002,853,688,942,340,007,
246,342,712,261,148,034,778,145,588,496,120,239,616,902,695,752,151,178,108,
600,028,806,227,005,245,655,267,554,890,197,021,450,593,910,067,855,275,668,
570,475,150,621,936,896,488,514,372,776,185,678,808,146,059,950,797,286,355,
467,876,760,372,942,265,583,333,832,096,203,780,583,988,589,315,193,188,239,
415,581,858,361,498,231,932,278,464,814,065,779,034,775,450,438,506,690,959,
828,072,117,168,131,694,490,280,035,061,847,781,013,599,075,247,152,617,187,
125,115,894,854,308,819,460,094,007,589,599,288,875,734,104,204,773,123,689,
953,715,566,586,392,200,216,814,793,728,536,666,157,185,444,370,968,470,751,
914,379,614,255,619,473,708,132,575,697,009,259,264,986,935,284,344,552,082,
050,046,351,931,917,116,641,460,248,995,085,448,960,586,030,381,341,884,566,
338,370,530,999,328,353,360,320,769,957,910,041,494,242,694,470,638,028,208,
595,629,520,654,476,755,949,333,349,693,664,147,310,488,555,741,329,638,983,
677,636,381,377,128,408,882,134,207,478,120,707,820,921,191,457,624,112,629,
389,436,730,539,661,798,729,273,989,876,318,294,912,323,659,339,462,619,417,
829,964,430,713,593,129,845,876,439,073,698,404,614,566,924,666,239,280,765,
765,992,695,056,463,352,762,494,657,559,941,627,037,998,921,737,428,279,267,
656,612,352,334,490,947,565,898,393,853,119,824,624,103,768,917,657,638,924,
872,641,424,080,230,258,264,975,499,023,335,154,585,238,290,673,224,594,412,
528,378,543,222,971,917,795,927,301,653,963,052,315,275,891,238,748,112,496,
530,541,788,258,180,728,292,310,749,039,289,454,439,305,586,524,341,438,345,
920,169,632,955,432,641,398,356,946,895,928,118,021,632,197,259,355,023,359,
160,782,365,786,028,189,298,058,391,306,089,086,130,014,852,914,397,451,796,
322,709,021,987,139,491,840,117,485,638,786,623,891,729,642,034,293,382,131,
285,748,291,387,589,318,297,056,156,303,608,599,744,569,869,039,954,738,825,
529,093,027,893,262,509,035,573,715,193,089,537,960,240,601,117,484,727,703,
656,789,098,268,456,654,120,756,052,191,368,146,774,084,558,296,639,032,025,
052,109,785,506,616,431,288,439,264,731,390,852,935,392,258,929,052,123,214,
263,871,218,359,402,816,856,285,787,438,846,570,312,944,706,477,097,200,101,
135,280,359,665,501,903,943,513,869,801,249,180,140,509,075,694,992,134,295,
652,987,180,554,704,532,352,826,846,314,453,214,863,181,843,134,280,827,620,
715,357,410,943,285,323,041,652,643,942,169,933,541,422,230,444,563,829,151,
654,992,382,747,635,061,515,396,086,639,195,713,169,922,380,251,556,915,001,
318,588,337,751,752,346,918,115,461,226,573,957,949,886,195,150,506,839,118,
115,905,536,365,718,890,963,993,162,964,073,835,927,155,218,466,497,111,368,
382,863,625,201,755,058,789,749,106,112,274,232,853,643,194,273,120,316,312,
748,720,110,901,080,960,893,570,546,175,822,341,949,380,224,341,512,970,589,
881,956,508,655,016,807,341,260,980,226,790,125,821,424,906,618,535,126,465,
113,353,242,765,221,785,234,191,240,334,073,706,739,672,697,914,927,315,436,
772,376,615,995,607,071,910,385,728,445,877,600,049,488,785,700,064,762,440,
555,413,079,239,869,061,819,813,261,570,875,507,070,281,638,224,282,779,798,
491,961,824,593,091,997,845,004,203,199,877,016,791,867,716,450,156,172,081,
940,392,075,475,091,686,788,170,322,139,149,839,619,771,621,449,643,579,307,
332,141,761,510,440,532,192,248,827,843,827,184,309,162,786,687,506,097,660,
672,282,862,589,548,637,818,411,246,823,648,345,170,906,156,223,833,967,873,
980,232,621,294,740,768,225,180,631,010,734,463,570,083,583,365,453,615,022,
047,221,963,595,818,511,939,732,238,523,172,027,536,117,700,661,661,211,526,
434,337,335,833,350,224,512,772,221,017,711,982,459,221,468,689,091,539,061,
298,434,414,247,203,634,133,518,976,790,098,595,839,282,703,018,438,203,501,
829,052,089,577,979,928,910,667,084,213,742,137,546,883,078,697,444,436,954,
856,359,569,288,213,511,556,428,742,732,378,270,942,044,691,560,020,684,804,
292,409,743,311,919,905,593,744,940,582,673,203,887,481,225,923,783,906,162,
467,732,201,313,006,793,856,688,192,498,402,205,239,215,583,559,628,460,996,
518,363,829,815,139,054,828,548,371,928,795,912,251,184,995,245,182,100,519,
607,385,956,932,669,994,611,630,537,647,943,142,991,849,671,715,539,457,392,
820,312,517,430,014,138,675,244,870,933,239,914,979,355,040,625,502,807,995,
359,665,099,815,547,213,423,732,945,195,923,237,423,751,085,540,479,812,741,
282,812,951,517,952,094,062,360,642,253,734,810,256,458,457,815,667,503,264,
858,238,817,436,339,633,080,421,372,038,022,877,361,456,380,831,806,274,688,
305,464,525,687,211,039,651,405,639,786,592,727,851,417,913,396,438,827,906,
504,995,325,573,872,716,134,993,758,440,724,990,799,026,512,486,260,268,205,
217,315,738,747,639,751,352,546,025,677,771,389,555,084,560,590,742,045,080,
675,428,514,397,799,549,454,534,588,888,163,712,585,600,459,662,793,124,624,
643,021,354,861,238,291,357,141,148,660,183,015,430,508,390,318,351,302,053,
913,405,751,112,732,900,817,526,511,031,155,908,790,609,559,831,526,480,083,
771,447,999,028,358,987,736,757,458,084,888,922,325,809,367,503,184,566,238,
235,946,183,829,596,957,075,017,979,304,179,257,371,531,106,720,083,112,583,
223,139,504,473,705,455,406,844,442,937,934,501,425,297,676,870,525,482,943,
380,443,876,935,943,485,780,764,262,639,038,041,345,860,186,180,035,488,908,
417,334,158,917,248,426,424,649,632,825,332,266,756,226,184,508,984,139,255,
971,272,140,858,293,559,998,175,383,046,352,707,095,076,274,327,613,963,756,
180,405,059,526,185,494,226,158,611,295,263,901,650,300,529,449,563,166,828,
522,341,450,256,803,455,270,534,470,617,903,072,260,868,926,190,136,144,668,
954,538,869,473,362,631,285,015,470,849,902,178,116,602,792,596,160,296,186,
661,857,035,349,459,581,897,260,185,967,583,012,959,144,446,579,574,896,694,
971,354,853,483,514,580,258,357,634,279,889,663,426,575,231,715,285,442,455,
088,099,143,473,629,054,697,953,165,796,012,233,291,667,888,509,808,856,133,
185,541,576,515,312,161,588,911,303,066,195,687,947,546,388,340,388,593,647,
449,575,567,455,847,556,942,569,098,334,583,849,333,519,206,630,708,269,019,
581,935,795,543,138,176,367,072,765,532,469,368,506,299,367,462,628,916,878,
533,582,107,177,373,503,705,912,667,724,569,604,290,390,579,399,792,976,442,
870,281,600,569,375,296,482,148,563,990,261,675,950,788,196,838,828,304,333,
644,171,787,504,783,068,417,803,561,272,966,797,485,394,661,406,462,473,933,
059,823,301,558,503,660,486,592,194,563,151,188,945,182,572,328,225,556,859,
754,485,271,719,969,579,613,504,020,813,880,016,063,613,416,458,299,199,519,
452,686,589,346,844,767,664,862,432,013,631,659,802,219,712,306,984,274,387,
698,087,432,565,824,240,884,854,279,671,332,611,618,888,323,985,001,589,418,
602,591,728,466,251,437,571,418,831,934,094,100,168,316,036,081,578,168,228,
079,870,714,061,162,542,988,278,870,735,350,986,102,626,830,808,562,919,975,
365,745,285,871,480,209,867,640,703,592,992,236,390,722,213,128,154,203,701,
305,768,505,262,953,430,272,742,142,733,486,131,124,190,815,708,718,696,795,
835,584,054,795,004,781,813,785,771,022,510,626,509,938,458,250,734,732,865,
269,641,065,485,974,313,108,976,595,799,029,902,646,917,897,004,435,730,354,
822,802,570,424,910,783,406,753,386,373,335,631,908,443,245,191,397,683,254,
420,183,874,932,437,153,997,943,534,625,829,876,253,353,848,808,623,446,369,
107,774,540,651,311,085,400,532,988,351,321,485,082,258,032,407,525,221,120,
098,741,595,222,795,724,876,243,581,943,853,553,544,508,052,334,990,752,529,
000,147,286,579,814,647,854,251,357,175,597,067,450,659,468,809,344,776,350,
759,853,769,518,161,353,686,098,776,414,840,625,243,702,086,228,105,524,615,
472,239,245,187,201,190,248,749,278,248,497,438,145,912,437,109,652,162,871,
686,592,561,962,029,192,747,383,127,473,259,445,485,138,035,198,470,417,801,
878,932,709,334,214,957,383,782,238,234,907,648,513,645,023,792,055,209,405,
104,502,593,382,297,736,766,396,591,575,108,820,334,088,659,272,314,286,438,
085,556,382,454,688,474,526,502,433,061,581,227,083,876,386,307,201,313,009,
610,324,639,575,285,811,081,419,912,524,447,307,378,957,118,964,029,715,313,
600,847,319,822,897,977,105,496,539,682,115,479,355,244,230,182,958,554,090,
578,287,182,152,721,231,850,615,799,549,252,045,834,344,452,080,291,817,675,
867,411,126,390,456,682,473,182,295,885,422,855,198,056,270,578,765,007,755,
512,202,441,509,692,507,194,688,233,626,825,578,382,537,779,552,118,203,413,
924,260,146,588,166,412,399,102,066,960,176,775,205,274,569,540,590,477,781,
558,466,981,983,286,639,708,213,277,302,688,713,344,593,667,180,287,972,395,
700,814,311,713,140,608,231,552,950,910,970,029,009,093,330,797,893,556,148,
300,773,751,549,442,774,240,274,868,267,616,949,799,170,794,763,416,958,591,
742,461,643,278,346,031,978,625,776,807,620,079,564,666,963,082,217,189,037,
936,774,018,478,595,253,629,576,092,355,034,515,212,540,046,077,074,242,087,
304,634,240,848,751,714,397,659,962,522,765,373,534,968,722,955,389,522,339,
097,798,186,662,003,905,879,886,696,899,537,620,467,503,998,771,756,578,520,
674,472,022,842,513,542,720,840,464,797,754,486,832,793,441,320,368,188,206,
666,991,131,403,538,235,322,596,033,945,859,274,497,200,201,493,880,948,507,
886,665,369,524,184,999,219,921,658,027,431,683,040,082,013,480,175,721,347,
461,346,476,968,099,404,553,068,818,752,217,973,280,681,327,095,261,753,444,
165,704,507,612,472,573,932,238,965,155,137,648,777,976,232,896,469,069,165,
086,222,179,720,287,199,270,137,558,502,992,958,269,080,960,679,361,144,353,
828,016,071,824,590,720,153,328,053,357,012,456,064,842,641,905,681,399,867,
797,809,421,325,593,219,972,770,438,295,402,020,991,907,775,509,116,932,167,
335,086,211,154,272,670,187,548,727,183,762,554,558,541,902,340,203,161,885,
223,178,366,626,755,198,926,538,652,090,459,496,737,258,523,463,053,069,176,
353,874,321,380,489,462,346,489,747,955,367,320,052,970,529,757,060,817,729,
261,848,836,662,009,574,956,579,910,725,928,464,132,328,800,710,282,567,060,
896,850,013,890,917,451,251,725,632,166,033,640,926,568,936,694,930,714,973,
645,065,284,230,440,876,928,304,106,490,429,992,716,653,146,226,555,483,183,
459,790,917,465,496,528,948,994,935,913,288,607,822,122,257,839,923,344,103,
839,423,716,598,016,843,842,552,586,458,800,485,054,571,013,246,334,278,547,
699,750,714,421,051,988,474,071,937,534,830,682,904,889,737,130,776,662,019,
497,792,701,640,734,847,399,259,343,746,112,863,562,655,443,801,632,013,705,
612,724,103,458,868,531,888,264,473,600,023,117,837,579,253,328,609,256,449,
014,008,142,233,938,700,132,388,800,414,749,462,647,152,971,008,256,521,158,
963,345,102,973,720,547,597,304,374,735,442,290,479,179,490,863,767,704,860,
452,015,932,556,227,268,374,035,219,496,973,346,284,281,907,526,824,024,287,
456,072,232,606,635,033,551,714,843,483,531,820,636,795,444,692,256,543,988,
425,539,629,017,648,284,587,171,302,735,255,279,038,151,535,715,857,599,968,
884,249,563,319,431,210,232,620,591,060,765,319,639,837,790,200,268,391,972,
953,753,933,699,512,945,305,918,180,747,014,867,881,398,808,593,625,527,120,
313,901,775,940,468,241,909,052,602,444,534,955,120,873,425,654,214,911,060,
182,115,033,515,834,916,758,925,466,802,710,055,509,529,274,161,650,796,020,
121,571,534,581,688,275,516,561,924,610,984,830,844,427,078,865,846,659,710,
038,196,897,763,026,165,703,437,512,529,463,404,395,813,042,112,591,173,327,
838,613,776,874,993,208,596,360,341,622,118,205,123,134,301,038,238,244,601,
112,342,031,546,168,313,048,842,593,140,400,923,423,543,795,135,400,883,434,
374,301,853,832,952,056,485,492,564,939,119,250,116,577,695,288,829,356,053,
872,994,610,169,009,672,999,980,614,328,731,230,147,338,123,863,444,429,184,
850,684,472,069,426,020,126,945,607,752,477,371,809,964,717,829,447,406,463,
831,177,799,972,013,689,402,884,628,480,855,877,315,103,564,283,209,514,569,
554,015,449,153,458,907,217,497,483,055,544,328,921,632,124,649,070,899,756,
037,874,938,398,930,531,362,177,958,821,468,676,131,733,900,139,360,625,596,
225,642,311,823,590,411,603,004,317,658,715,194,563,226,464,011,331,289,792,
151,003,326,116,862,241,541,247,239,917,673,154,457,504,990,320,185,500,281,
829,548,554,995,730,795,646,183,410,310,135,149,319,057,948,321,528,375,834,
786,451,134,469,234,152,356,148,705,662,260,479,966,597,949,431,828,200,033,
873,181,566,775,181,575,619,399,480,030,216,348,321,235,271,203,224,865,388,
791,646,527,776,336,304,500,854,408,804,845,954,366,717,626,325,738,228,227,
228,138,557,002,104,653,478,084,387,787,575,197,268,210,580,574,788,677,348,
162,319,427,020,709,902,589,949,272,283,593,878,188,206,266,320,382,523,164,
530,372,759,750,839,614,593,293,761,277,309,127,126,368,653,252,686,720,661,
693,400,536,443,734,986,739,788,455,818,003,876,133,673,811,437,301,971,878,
505,777,926,344,225,852,211,150,247,275,679,289,892,638,537,627,058,604,210,
312,895,444,692,833,914,159,617,576,417,793,471,323,010,445,123,896,345,001,
800,545,607,606,000,406,945,829,689,113,922,268,061,346,050,133,330,493,693,
623,883,081,006,875,257,339,157,560,761,087,370,048,532,559,851,732,676,150,
963,257,137,796,799,919,689,726,577,649,285,906,132,473,358,767,297,727,469,
822,807,282,083,471,448,049,828,294,414,606,410,139,165,429,948,159,522,334,
661,371,484,458,817,683,783,313,706,032,491,329,562,406,481,770,934,743,998,
888,946,403,644,801,630,495,935,879,168,447,533,420,043,765,554,901,815,811,
408,689,652,541,189,874,947,495,231,791,741,053,452,748,913,866,071,797,029,
730,929,583,343,142,226,549,927,382,168,608,081,792,607,640,112,676,408,530,
906,095,057,978,515,699,334,299,149,635,853,895,211,185,868,478,590,269,042,
339,580,311,034,481,237,831,883,145,228,959,127,903,576,275,371,877,324,081,
283,657,006,425,783,999,580,699,951,954,147,860,737,735,179,971,207,370,602,
286,976,271,886,674,360,932,721,551,583,497,078,288,561,151,602,690,111,527,
891,538,590,021,119,973,443,000,431,059,208,824,769,897,620,368,330,329,511,
887,290,280,217,468,498,430,137,367,858,949,900,511,473,547,150,387,940,035,
824,597,577,677,928,568,962,940,513,175,667,875,869,817,287,000,709,613,273,
183,681,979,051,659,816,919,183,829,607,131,356,081,124,356,795,887,601,284,
511,120,405,179,350,813,478,508,906,299,027,932,620,668,406,340,714,284,617,
686,736,424,109,671,482,026,112,115,262,710,591,354,491,176,133,599,312,867,
766,635,646,846,253,930,763,433,606,233,973,352,338,706,352,405,326,907,559,
187,037,171,893,429,261,125,968,575,114,419,448,108,524,198,492,612,069,601,
934,277,219,964,924,031,778,824,383,653,278,595,844,868,198,170,621,728,187,
645,051,662,436,850,218,424,793,389,823,209,316,404,213,026,047,679,574,524,
229,407,987,489,797,020,215,772,236,285,177,453,552,344,690,173,799,319,103,
917,207,649,674,926,547,395,610,339,993,976,649,481,607,229,258,235,299,591,
157,543,018,294,743,070,261,618,094,622,501,112,132,139,328,177,008,022,350,
070,411,479,446,468,577,751,474,833,405,279,235,425,315,965,631,801,449,598,
164,932,175,839,449,363,026,715,885,854,206,937,395,927,621,384,632,342,189,
921,826,188,835,488,030,992,076,646,914,575,076,919,159,677,695,645,857,331,
135,593,565,556,256,713,669,703,643,771,297,959,005,092,668,665,571,879,026,
143,512,392,755,565,515,811,079,243,439,010,503,759,351,491,936,341,711,003,
503,604,120,860,655,679,454,827,970,963,504,254,315,982,297,401,758,513,315,
374,215,645,783,958,800,923,364,955,122,314,220,156,151,308,582,106,501,347,
472,386,783,592,302,574,088,157,887,337,143,266,844,367,369,223,848,813,739,
019,818,034,983,091,978,901,621,380,953,375,667,973,433,373,023,034,880,093,
568,536,601,818,343,872,164,770,931,404,839,449,871,464,908,843,540,666,488,
922,675,610,036,910,265,531,144,984,119,897,649,915,440,384,144,015,818,426,
032,815,609,981,960,161,966,469,770,964,642,825,691,341,502,606,961,435,982,
789,308,123,325,735,253,813,896,038,718,255,453,638,823,872,683,455,662,939,
263,823,339,730,889,133,995,014,662,981,575,920,799,966,864,058,116,596,725,
721,818,115,794,397,697,314,164,264,929,301,106,056,685,483,146,069,909,466,
715,317,546,165,038,605,448,535,887,805,733,638,175,796,067,770,897,644,413,
087,765,555,013,430,975,331,049,846,178,352,428,364,978,281,390,501,529,104,
733,285,853,406,660,844,325,775,307,619,975,341,799,033,482,697,629,091,644,
071,066,834,921,302,861,088,991,660,836,859,545,076,488,923,299,560,138,057,
642,962,738,661,541,065,693,714,173,062,319,812,417,744,787,338,743,128,245,
441,895,367,887,346,330,785,932,225,453,330,863,842,549,399,732,968,738,779,
015,097,513,266,875,372,123,291,866,000,974,600,408,428,993,293,994,415,654,
483,099,877,773,456,898,652,765,146,166,224,242,177,915,271,111,087,721,365,
119,494,712,443,370,201,312,756,459,447,242,306,165,290,860,718,806,539,923,
808,802,112,907,541,440,316,893,414,677,804,028,991,698,182,709,869,654,694,
585,812,710,341,132,682,607,368,510,825,230,895,318,247,562,377,209,644,672,
997,314,998,694,217,978,753,804,438,850,727,136,416,652,273,928,249,517,824,
884,818,373,856,804,768,953,964,141,750,154,956,866,241,263,895,977,802,565,
220,149,786,669,409,933,358,839,122,099,906,841,376,737,053,267,786,956,331,
028,231,868,077,120,062,577,043,724,776,651,920,647,014,509,870,488,229,149,
080,482,203,346,519,310,497,924,142,388,687,852,731,883,837,960,759,187,025,
593,099,640,504,973,806,815,104,088,298,364,613,311,947,104,375,893,305,938,
885,130,934,523,973,074,580,621,751,708,793,016,250,352,742,682,839,532,394,
132,172,927,721,134,781,722,226,082,082,948,138,497,492,350,375,659,386,731,
043,993,470,378,490,197,952,729,449,483,499,710,184,787,478,596,687,411,901,
095,106,616,893,079,438,583,047,747,746,755,006,180,216,865,407,846,216,220,
468,458,230,250,009,611,934,722,516,391,768,024,854,367,874,378,113,004,774,
384,833,172,611,914,082,478,389,234,799,621,236,757,212,304,510,617,374,852,
620,254,625,338,242,459,233,027,025,112,388,546,488,221,189,467,672,757,194,
754,888,521,832,317,884,533,500,059,396,507,445,311,056,718,771,590,951,499,
691,971,911,026,853,088,977,403,707,829,613,430,365,743,547,396,137,774,835,
075,708,331,794,188,347,974,400,897,694,746,859,175,182,172,091,405,704,213,
702,753,905,434,043,270,359,400,937,960,181,943,792,190,915,387,389,552,197,
847,724,591,460,705,877,517,803,522,561,602,022,606,504,392,710,663,614,761,
278,046,865,356,611,277,421,156,768,247,283,695,583,683,246,836,331,989,811,
468,096,343,008,532,022,096,698,206,702,116,488,574,714,368,375,594,559,685,
156,683,025,970,170,944,286,775,008,825,456,724,182,547,894,426,736,145,257,
505,895,798,067,095,743,998,178,760,691,048,160,472,016,259,200,485,630,929,
202,615,291,200,023,837,006,285,488,858,255,137,142,428,960,817,676,436,608,
349,305,979,681,740,157,561,443,154,580,315,304,780,382,119,970,662,904,434,
002,313,626,254,506,474,651,863,622,482,482,149,912,541,696,254,701,884,679,
206,605,431,418,201,207,717,289,063,585,521,910,606,442,507,263,363,348,148,
515,602,354,916,525,376,390,941,994,644,142,953,413,489,279,507,131,930,120,
835,746,358,156,296,968,560,836,912,122,367,182,617,426,780,990,677,806,262,
892,576,036,119,514,222,780,116,081,645,390,243,969,053,909,376,333,281,844,
495,322,913,990,318,347,034,218,840,453,766,358,021,627,660,032,372,511,547,
672,202,956,417,237,067,157,782,756,828,592,652,637,752,444,083,092,666,196,
033,861,544,852,375,333,955,148,481,393,826,491,877,132,738,314,261,279,272,
842,518,121,559,571,858,003,729,191,500,480,791,049,077,520,944,362,527,833,
370,631,737,562,834,854,162,675,756,699,460,083,724,224,000,617,496,146,602,
725,143,659,011,640,713,158,947,670,206,390,852,064,417,493,471,012,084,965,
872,049,191,612,253,206,607,240,583,431,246,160,946,382,682,502,008,035,388,
843,376,220,248,172,998,373,712,594,823,158,631,678,353,507,501,570,652,956,
137,496,097,107,926,124,186,927,476,964,944,468,571,710,038,431,577,723,883,
396,147,234,780,777,382,204,204,261,591,990,995,561,840,315,467,407,221,669,
217,448,366,503,364,284,067,672,884,505,866,908,587,174,135,007,343,392,053,
463,343,588,546,750,052,462,919,478,990,107,120,283,555,671,081,744,016,361,
286,524,756,731,338,997,308,527,072,936,216,161,006,119,123,648,506,858,332,
250,693,810,682,109,942,258,220,671,635,288,623,193,872,619,581,052,781,561,
669,090,014,887,701,750,434,666,611,393,442,516,450,896,969,338,338,727,136,
223,831,849,571,688,811,006,061,420,972,708,582,937,140,352,466,787,830,244,
504,162,036,550,549,062,054,526,632,934,289,285,795,939,939,264,159,683,840,
328,619,795,849,557,132,710,571,782,735,653,519,417,649,184,453,493,948,864,
863,442,663,004,539,677,538,886,196,185,897,040,647,526,607,713,455,078,462,
687,254,752,196,643,027,835,803,935,260,870,497,743,088,186,527,740,885,550,
865,991,452,436,886,962,383,104,167,140,623,524,439,486,966,652,056,736,299,
318,571,430,325,639,384,542,803,167,492,925,145,378,867,808,978,731,689,303,
518,756,781,248,298,450,077,132,567,887,660,588,235,075,142,361,225,523,361,
993,347,853,338,634,825,411,639,638,558,897,951,672,743,378,608,479,269,441,
063,989,771,334,792,997,182,174,442,806,642,312,789,136,200,942,570,732,874,
805,995,430,656,710,634,458,316,719,726,764,064,619,451,875,502,922,143,287,
374,735,978,063,736,494,186,454,873,280,593,480,925,385,129,266,240,373,929,
699,633,469,246,842,652,152,828,444,265,764,105,118,821,461,868,275,013,680,
858,024,811,110,864,436,491,382,545,586,760,377,810,305,052,498,207,077,727,
677,347,419,457,254,194,454,516,818,191,886,800,132,915,824,999,187,541,168,
506,026,732,528,310,783,594,779,122,478,839,662,643,170,823,534,914,029,399,
588,817,478,903,313,309,385,839,878,297,907,989,274,353,775,901,901,889,230,
703,766,286,880,695,111,786,951,317,125,398,775,807,447,375,016,541,635,487,
497,457,069,550,563,043,261,939,914,582,585,728,180,444,101,181,649,666,992,
816,457,849,112,414,468,967,264,125,094,188,357,759,151,169,983,473,213,205,
611,929,501,878,599,977,550,308,238,642,668,973,708,851,087,362,813,507,226,
377,761,100,226,783,896,652,420,432,878,706,140,773,492,405,963,040,128,335,
672,308,429,931,726,257,925,818,281,868,821,384,323,933,226,533,949,927,269,
323,271,264,849,716,075,240,677,953,356,282,329,132,282,707,807,325,300,620,
995,079,014,647,031,795,168,084,408,383,485,645,618,757,872,357,277,956,854,
783,823,907,745,721,993,343,919,626,092,073,835,612,652,082,102,158,070,032,
014,716,386,712,489,959,120,269,868,306,700,923,196,081,249,707,398,252,248,
222,332,722,620,129,707,156,338,352,724,683,040,569,658,668,066,397,371,832,
197,971,444,988,905,665,393,188,857,167,910,667,190,180,546,067,229,578,732,
762,034,897,441,461,737,170,604,197,221,772,687,097,056,312,451,606,330,148,
674,033,725,817,799,080,848,639,724,041,697,444,315,750,354,693,256,179,975,
497,373,743,320,019,274,797,942,219,891,748,288,049,271,733,754,809,391,873,
516,952,836,937,346,390,117,099,308,911,293,781,386,927,248,161,900,316,114,
419,952,732,741,147,066,158,440,500,113,056,511,767,378,848,013,154,942,575,
601,365,814,267,169,215,801,075,798,801,904,074,229,874,904,099,791,810,313,
921,992,694,968,958,336,129,891,250,122,055,552,213,894,952,544,351,714,927,
664,718,864,586,808,238,204,009,287,941,299,684,665,155,298,670,578,501,502,
085,035,299,068,675,927,266,908,010,141,327,143,297,262,954,472,402,679,414,
241,452,839,231,963,721,022,649,475,343,000,485,212,126,984,956,331,404,300,
138,041,574,582,512,102,465,500,277,682,792,426,797,205,468,129,339,722,671,
007,861,579,860,379,169,478,522,016,433,312,483,667,202,117,280,449,996,578,
107,643,446,963,246,690,654,449,746,176,339,838,857,612,785,887,043,868,645,
282,050,762,878,633,496,455,720,704,095,853,894,953,571,769,597,508,995,014,
124,944,161,814,101,966,382,148,489,545,553,879,603,804,447,034,224,063,151,
838,507,407,797,474,265,870,349,443,233,837,760,880,704,925,209,942,350,650,
473,671,192,024,453,274,849,638,388,215,062,222,170,725,491,955,074,163,323,
295,912,194,177,704,248,179,440,539,800,011,548,995,621,637,842,573,776,464,
500,670,327,040,842,009,137,407,278,230,140,589,005,559,540,030,223,392,092,
753,663,364,475,712,955,151,614,012,696,374,771,250,689,162,747,462,892,275,
516,612,428,522,075,350,557,390,614,432,627,481,882,603,494,555,031,542,856,
536,624,675,228,206,348,485,703,495,439,602,887,528,267,175,477,253,838,598,
142,140,225,397,421,874,493,532,914,604,659,071,560,470,020,711,062,296,811,
682,953,801,712,290,160,330,700,340,014,262,705,067,075,415,815,821,316,883,
153,815,784,465,707,941,706,609,516,054,906,056,669,292,718,072,381,215,866,
176,549,482,023,621,756,277,600,151,791,706,581,294,457,847,924,598,227,556,
887,702,714,683,213,765,086,315,884,389,420,937,472,043,735,485,792,898,013,
712,051,696,839,537,142,124,317,869,896,845,050,007,785,580,526,160,533,519,
564,775,876,597,603,273,348,105,124,378,388,060,412,672,532,081,472,452,633,
159,991,610,873,038,118,845,731,922,562,756,044,443,253,886,571,789,075,972,
950,480,794,495,836,808,344,402,026,724,933,462,271,044,606,728,072,096,539,
892,251,457,277,609,477,015,420,809,469,610,110,693,981,238,830,505,103,840,
657,980,023,154,626,058,731,763,002,260,654,761,103,960,882,961,221,337,260,
496,383,130,485,739,542,238,365,720,163,641,601,244,689,663,283,060,980,704,
816,688,339,653,700,054,662,389,519,696,928,748,757,089,880,542,581,050,014,
901,142,588,410,963,314,831,020,142,695,659,777,569,125,639,022,711,024,331,
469,213,612,428,021,357,115,333,412,176,172,483,896,228,538,351,053,821,732,
506,207,994,334,364,045,892,396,926,426,148,816,308,143,520,065,011,632,739,
368,968,230,336,498,006,698,777,864,371,006,979,373,505,224,152,746,540,933,
443,967,398,445,758,409,928,027,682,854,049,346,792,629,276,241,219,961,798,
112,697,370,189,069,102,714,348,834,144,819,758,168,407,903,423,791,852,546,
308,523,906,620,996,026,490,934,202,829,310,548,846,140,866,863,726,291,183,
612,886,237,472,178,540,975,431,238,824,526,716,347,872,212,790,709,771,182,
778,027,202,610,983,369,971,100,569,139,750,835,585,119,985,199,571,219,264,
638,772,276,463,796,027,201,439,361,492,884,397,474,765,723,542,264,653,831,
066,787,759,061,264,475,712,210,435,293,166,848,253,029,270,946,164,275,128,
215,195,044,801,305,115,367,096,807,786,272,940,087,032,990,076,788,114,067,
275,583,973,663,096,463,099,997,920,125,904,218,886,556,754,238,702,867,594,
128,030,180,389,760,940,043,935,573,077,018,856,519,733,834,084,996,049,787,
861,211,583,988,799,609,998,635,064,499,651,598,191,614,170,550,875,883,141,
107,861,473,009,339,475,313,802,626,807,074,151,297,341,153,884,173,988,091,
575,920,225,700,718,597,230,101,344,796,476,327,232,420,282,294,918,889,507,
800,438,613,809,217,526,950,440,742,564,598,363,943,499,875,711,916,489,109,
198,586,390,664,260,064,326,169,807,488,713,157,770,797,974,600,567,575,896,
931,397,177,473,383,552,706,172,418,254,031,482,783,163,785,222,214,811,301,
768,806,012,321,531,427,159,831,944,461,986,655,669,996,897,348,239,701,155,
913,485,976,134,603,047,794,042,269,696,928,415,493,884,840,994,494,971,989,
200,362,536,966,619,408,505,708,302,309,342,692,261,267,791,151,702,940,402,
053,785,815,212,178,886,557,124,515,266,981,166,310,822,154,652,082,820,879,
665,730,965,909,996,431,657,857,593,195,404,900,882,157,403,287,318,903,470,
971,004,242,445,279,427,331,618,007,741,633,519,427,614,195,543,379,437,885,
637,028,970,388,595,813,535,536,305,131,637,094,622,991,921,346,674,632,682,
956,533,901,358,143,050,587,064,922,330,496,148,853,348,969,271,428,926,173,
026,747,206,385,262,959,910,046,910,509,762,579,987,131,338,400,732,902,380,
954,911,909,159,406,799,561,202,234,342,937,443,106,432,564,527,760,736,382,
585,152,096,033,856,264,674,347,274,925,819,387,229,352,915,928,183,764,354,
280,044,599,978,431,088,472,588,474,769,808,992,829,268,881,765,533,726,416,
120,213,299,910,087,391,749,092,705,153,476,264,246,903,769,117,871,980,299,
984,042,160,928,075,086,978,294,024,949,284,395,352,013,504,196,648,432,825,
283,026,185,964,638,931,294,413,339,762,389,887,205,032,422,052,581,811,340,
561,037,503,739,179,398,927,415,418,436,323,616,508,350,422,833,918,263,616,
788,192,469,954,508,460,463,970,784,020,100,285,315,116,480,108,903,377,569,
087,518,268,487,923,626,498,151,112,672,548,129,280,263,158,590,970,509,331,
946,508,310,338,949,150,165,577,330,047,259,613,994,151,158,909,136,464,896,
997,011,673,584,674,950,828,896,810,700,781,824,598,604,714,834,657,439,661,
024,607,683,966,005,064,407,009,538,039,423,674,474,653,244,157,075,011,645,
876,997,982,026,103,531,470,139,508,934,515,591,751,085,943,926,154,907,222,
899,451,794,027,081,290,868,962,783,153,409,651,525,808,745,379,980,895,179,
960,932,165,848,314,087,572,624,635,839,529,690,540,138,798,829,538,561,156,
257,869,578,479,425,558,918,155,240,468,582,074,940,515,957,983,929,655,026,
205,538,688,585,923,444,393,567,045,486,744,985,720,176,848,049,908,690,798,
378,564,336,514,881,422,679,154,842,251,783,214,967,288,967,887,771,118,145,
037,567,081,693,021,108,747,036,566,189,410,660,737,677,191,678,944,884,075,
980,702,156,755,187,663,890,904,709,607,772,595,417,109,556,184,945,173,041,
667,669,094,553,613,420,650,696,777,106,918,150,474,787,090,532,115,156,252,
061,892,298,077,074,404,683,393,826,177,368,622,707,959,197,323,996,684,347,
482,144,605,765,564,685,690,184,455,649,144,406,939,863,665,247,018,298,686,
658,514,181,606,983,422,993,478,992,325,677,701,763,428,009,313,310,973,856,
731,963,208,562,069,264,084,102,098,382,336,962,415,884,151,485,356,380,953,
443,500,635,749,290,167,971,582,698,329,047,215,420,761,071,771,848,899,666,
066,939,957,731,402,996,470,815,137,415,226,151,246,455,845,165,822,395,028,
579,150,312,282,483,431,775,174,354,873,618,067,598,083,373,271,571,894,104,
820,250,897,520,177,245,928,569,358,250,632,270,063,818,638,198,888,433,169,
495,189,093,252,444,777,415,638,669,690,321,671,222,919,524,693,412,698,681,
863,042,640,258,872,415,523,004,262,301,967,364,565,417,858,015,470,128,913,
702,949,612,850,415,348,249,995,299,636,238,130,023,751,005,465,759,370,593,
863,326,889,780,994,727,894,233,843,103,749,081,997,854,670,294,246,334,729,
960,751,706,458,226,398,602,827,272,706,985,579,442,672,609,758,473,369,763,
756,298,940,475,615,478,814,414,947,102,044,785,246,154,051,751,433,920,423,
391,545,823,750,888,072,166,132,128,999,598,320,684,483,944,065,950,636,176,
470,906,764,256,053,790,292,488,980,308,459,637,505,872,701,221,499,661,585,
130,457,944,319,898,638,104,257,832,851,402,828,351,811,634,406,344,455,708,
739,732,521,090,354,121,163,286,632,463,444,120,353,201,327,929,520,797,106,
223,988,474,259,629,109,249,724,812,366,523,650,095,349,488,710,984,097,000,
385,618,487,275,960,385,689,684,995,177,698,398,314,797,304,707,974,828,103,
893,772,315,178,217,472,758,635,303,160,096,014,026,346,592,734,056,448,276,
689,300,610,430,140,275,225,043,311,647,248,221,577,341,199,561,060,651,504,
362,428,846,177,454,596,941,852,599,543,228,651,887,246,393,200,463,186,598,
303,684,029,636,695,247,670,127,284,646,094,668,074,065,740,443,918,165,110,
310,672,222,538,338,951,607,996,721,466,443,690,842,804,726,743,158,603,985,
539,197,433,748,043,902,355,693,183,779,550,273,284,391,837,077,200,951,422,
303,789,246,236,189,770,230,670,554,548,467,771,647,734,782,445,374,690,412,
168,396,995,798,962,862,917,129,257,207,755,456,164,293,597,413,287,417,378,
234,077,333,673,446,974,911,863,809,657,908,969,401,389,498,011,313,320,728,
773,937,636,603,517,925,340,434,350,354,092,407,016,059,415,314,919,390,144,
107,987,019,996,098,788,559,164,941,128,416,500,518,707,892,469,811,361,272,
195,810,942,047,773,687,191,933,377,079,539,306,174,093,445,311,629,656,997,
571,865,684,840,496,350,750,660,553,600,729,037,429,200,392,589,913,008,825,
861,831,718,057,368,824,494,218,830,215,826,977,522,588,175,968,757,395,032,
042,477,400,413,801,744,780,972,047,223,222,510,516,125,074,629,465,846,341,
952,913,335,124,415,739,348,083,260,709,797,917,110,187,815,985,144,143,157,
466,463,515,938,187,922,056,424,531,669,631,076,476,818,543,585,128,003,559,
041,852,275,828,206,627,483,932,361,855,784,101,285,134,889,576,472,087,377,
616,202,801,226,874,022,117,104,046,866,366,055,365,199,179,728,444,421,542,
092,045,420,717,922,621,017,039,098,301,213,009,395,708,311,382,896,141,133,
467,407,788,647,655,957,524,682,889,502,356,483,936,823,558,490,465,894,409,
342,716,296,142,457,170,650,181,106,332,788,615,899,474,563,882,385,693,663,
553,531,028,654,634,860,095,696,991,929,963,683,634,417,294,625,408,681,368,
606,647,048,830,437,622,947,716,650,526,162,770,440,659,393,352,709,304,759,
641,487,065,349,771,306,642,271,221,065,799,579,394,549,716,385,101,697,362,
350,473,628,172,381,887,470,048,039,466,818,072,571,560,255,852,184,481,908,
553,496,776,429,884,066,572,331,812,855,430,676,981,209,110,892,544,121,934,
640,740,960,688,468,668,221,883,668,400,645,737,529,226,948,782,410,517,215,
160,026,290,884,523,076,122,379,277,213,133,222,758,640,538,488,969,531,894,
437,736,700,541,872,120,351,001,861,522,776,489,504,258,378,558,093,974,814,
816,886,109,393,975,653,919,043,668,204,377,340,803,357,630,353,868,707,892,
478,611,353,845,424,705,003,740,692,311,027,143,049,043,575,710,207,644,697,
906,899,657,002,354,065,313,904,432,760,710,643,154,703,722,051,049,284,813,
629,094,564,225,726,508,348,167,095,955,545,534,298,946,718,712,063,042,693,
179,476,294,200,867,355,721,378,160,481,866,548,294,479,318,674,176,926,677,
393,862,176,680,273,871,877,943,598,376,105,471,676,235,313,789,921,213,247,
634,528,954,735,202,602,150,336,158,758,189,792,340,936,775,000,257,556,418,
931,801,514,259,219,596,474,414,120,223,974,375,060,404,703,152,687,513,255,
916,405,035,514,883,756,919,239,935,461,033,363,863,028,509,741,258,785,340,
574,509,979,611,033,426,808,568,839,225,602,103,176,660,965,955,939,120,826,
514,519,651,089,510,179,315,022,828,549,867,973,936,952,664,307,553,240,526,
791,824,877,511,925,507,637,881,827,179,137,728,570,011,420,607,949,630,628,
635,122,604,759,928,115,668,139,289,300,754,431,654,588,471,594,201,919,106,
091,848,621,299,064,295,084,200,144,235,042,025,952,450,560,348,147,548,782,
231,690,887,931,288,508,718,350,854,155,651,598,851,243,034,332,293,501,802,
508,443,596,029,265,491,464,297,092,005,440,419,988,331,888,630,472,633,252,
695,553,239,459,211,822,629,290,470,853,376,844,240,158,699,898,060,987,928,
457,364,834,536,201,866,326,300,262,846,868,556,751,712,684,709,458,933,718,
884,013,561,423,878,834,516,946,537,817,010,907,666,570,026,849,884,959,383,
768,417,140,113,322,792,822,422,276,829,197,995,097,384,471,393,495,742,430,
169,615,254,286,292,719,716,214,136,659,084,359,532,825,756,899,206,881,228,
084,214,906,352,975,164,856,364,757,602,728,084,992,360,757,091,998,787,937,
910,373,252,047,493,246,973,403,150,948,668,054,642,477,958,010,180,293,531,
209,304,842,734,687,881,929,167,004,645,787,382,293,341,508,199,390,370,909,
806,693,854,715,031,302,445,165,712,996,474,698,088,740,883,784,628,982,864,
053,788,961,554,111,555,946,173,982,931,575,061,956,504,247,717,948,951,378,
108,554,242,959,921,624,804,064,682,407,871,705,938,633,852,818,912,273,554,
308,387,780,416,409,544,173,571,724,211,895,563,869,266,559,683,590,444,872,
026,934,717,683,888,319,149,671,052,507,430,669,762,045,955,578,956,162,546,
686,714,616,784,940,843,382,736,189,833,493,946,978,000,003,098,574,831,976,
729,550,260,213,172,860,135,415,593,348,493,559,719,674,943,668,031,807,908,
292,674,740,786,634,726,640,306,609,956,872,475,927,531,578,643,993,743,255,
110,509,142,990,481,458,103,030,240,489,431,084,197,295,485,473,745,507,013,
234,888,662,232,569,806,694,324,373,823,565,335,451,431,288,343,121,025,194,
643,311,831,071,561,137,185,359,488,997,362,934,363,817,456,684,050,989,338,
173,705,062,417,524,765,352,135,940,325,795,436,763,176,353,020,121,258,616,
015,351,037,235,358,952,627,145,056,757,490,647,009,211,955,633,107,816,124,
825,043,215,456,202,279,419,340,902,628,990,146,059,390,565,888,180,953,653,
795,542,801,576,686,850,904,888,353,751,696,394,551,229,237,651,718,974,766,
515,159,457,081,999,639,281,131,540,230,003,103,213,308,774,988,091,625,639,
625,479,082,834,689,322,322,533,019,825,070,288,327,211,799,465,066,043,091,
563,711,628,946,333,770,649,574,138,583,060,369,479,480,295,638,477,587,567,
952,601,524,807,176,025,369,811,605,919,598,181,272,492,915,162,689,990,356,
906,049,726,160,519,288,401,302,090,252,525,274,117,938,849,944,588,917,856,
164,582,705,497,663,194,697,212,221,331,975,698,932,206,512,467,820,736,470,
165,184,900,795,071,319,572,615,666,736,241,951,679,862,421,774,858,467,316,
306,974,046,854,953,946,251,975,481,878,730,238,138,580,976,039,770,225,923,
201,518,455,900,459,605,307,048,509,638,088,603,210,000,696,328,763,826,348,
469,195,209,364,502,466,460,460,617,902,531,228,645,520,334,251,291,788,602,
724,771,003,337,335,134,430,337,901,768,479,631,028,618,793,441,926,943,641,
622,030,211,774,528,227,721,202,842,332,949,404,952,419,670,019,868,636,356,
013,931,643,039,284,973,840,563,727,473,684,856,880,857,410,644,316,833,062,
491,804,288,082,706,310,109,738,040,441,268,267,134,507,362,356,423,051,715,
859,670,957,728,982,164,690,788,824,914,539,829,539,987,172,201,161,975,619,
717,695,398,690,587,613,341,305,211,809,555,753,976,888,982,836,686,418,415,
940,222,005,493,210,292,615,398,974,719,241,030,860,483,265,241,805,766,673,
832,764,063,619,833,403,776,134,286,069,100,402,797,412,721,124,540,058,961,
605,332,799,326,711,162,575,412,487,497,923,004,688,898,411,318,455,410,367,
955,074,370,402,877,671,740,287,868,827,857,771,464,385,690,231,538,800,257,
047,470,759,398,021,881,392,456,004,121,854,898,446,967,656,213,383,010,840,
142,466,006,195,155,003,414,293,512,370,963,699,620,467,725,849,177,099,638,
919,868,813,261,450,088,357,595,174,603,550,547,995,108,849,270,638,457,432,
050,348,467,147,196,951,082,446,629,319,579,986,026,670,412,836,776,418,559,
864,368,822,357,925,148,945,910,868,580,648,807,909,516,183,691,693,196,450,
389,209,573,644,600,929,014,845,166,733,056,277,302,926,216,878,585,866,615,
739,599,924,546,836,202,090,437,942,533,931,059,075,946,692,932,066,728,916,
708,104,222,557,813,809,039,533,422,266,864,499,824,264,868,182,096,134,974,
440,780,980,984,735,870,876,822,367,051,010,076,821,148,623,718,204,045,893,
609,614,688,051,514,503,069,104,152,420,799,438,638,132,360,221,628,158,413,
072,020,518,179,328,470,780,050,517,527,442,310,939,427,827,680,475,475,563,
497,332,264,653,447,716,049,860,072,212,212,107,410,228,959,586,097,819,442,
045,525,920,544,662,765,103,542,105,184,479,333,253,271,815,925,275,291,028,
600,528,609,984,597,883,534,607,013,249,581,012,431,692,742,285,542,918,376,
984,645,521,747,082,576,755,300,541,119,096,892,105,468,207,158,018,925,235,
104,652,208,371,009,768,123,947,140,004,667,068,778,347,811,325,226,713,736,
490,308,832,599,692,737,379,005,599,724,110,141,199,996,287,014,093,765,421,
181,452,270,841,989,217,393,515,882,156,339,576,797,373,210,045,984,849,515,
502,202,715,486,440,283,068,227,439,648,214,107,418,811,125,789,490,510,861,
909,226,457,584,498,123,106,208,123,119,036,823,165,830,401,704,088,868,419,
968,515,591,409,072,397,070,739,050,479,302,571,842,460,902,126,689,946,731,
442,766,982,979,819,088,757,209,202,071,626,868,828,332,917,465,314,360,555,
230,029,144,684,175,770,845,316,278,257,904,028,847,240,888,595,932,255,782,
491,497,636,804,788,647,806,696,083,405,681,914,480,601,342,783,554,547,307,
891,822,770,643,409,822,468,867,981,075,599,365,706,252,998,728,021,764,025,
572,047,742,978,574,677,460,585,007,743,828,484,231,146,104,459,802,297,182,
585,436,739,087,231,850,955,418,715,809,637,121,717,265,655,910,251,169,564,
006,371,580,684,940,332,385,914,140,570,502,790,671,412,968,839,797,051,122,
121,273,630,364,401,283,955,079,587,224,608,193,641,047,856,799,584,502,307,
398,702,518,315,174,612,811,252,135,631,986,913,496,226,766,130,332,733,718,
373,574,512,472,409,249,640,093,129,285,580,514,799,547,145,860,703,566,454,
261,333,079,783,374,635,167,964,294,457,594,836,242,975,890,582,184,504,903,
755,234,589,087,454,295,718,743,310,823,900,222,458,524,450,406,417,196,478,
506,215,482,437,309,098,821,104,945,200,999,723,387,519,937,407,019,766,669,
394,006,595,805,805,588,897,967,669,405,138,112,642,713,821,211,531,013,670,
763,630,371,641,401,181,801,320,480,112,145,177,349,472,574,887,641,887,083,
851,244,213,890,422,983,413,804,404,645,497,066,182,322,822,736,213,388,399,
412,025,826,319,440,089,082,286,558,935,343,568,578,873,212,011,462,686,811,
510,533,627,581,110,905,718,041,240,510,409,701,016,947,959,010,720,681,441,
655,084,955,990,210,087,963,510,087,813,366,386,769,271,648,610,350,724,216,
287,210,273,419,058,118,643,199,821,750,208,482,078,556,752,019,064,294,176,
473,078,924,000,676,173,082,166,506,829,330,723,747,154,978,263,772,839,456,
824,742,086,208,772,667,681,266,225,368,350,330,039,427,918,941,909,535,867,
095,992,406,354,265,004,831,823,799,937,007,210,633,474,742,691,813,529,077,
433,988,492,249,476,851,994,833,847,229,637,450,987,334,021,368,425,152,027,
243,209,365,499,916,321,738,625,104,967,386,068,504,307,121,025,679,176,363,
275,239,681,171,992,190,078,741,216,016,612,239,429,243,935,163,892,427,910,
403,744,985,816,681,339,657,087,783,080,698,066,873,873,899,940,950,824,096,
437,623,838,779,566,652,624,294,495,787,747,223,618,263,986,922,243,551,188,
057,863,449,955,221,405,360,021,433,821,186,438,150,253,401,173,602,730,443,
993,331,203,167,303,822,452,293,632,770,726,827,523,655,012,404,904,764,973,
626,942,914,071,943,881,258,337,376,990,113,846,778,997,980,144,292,663,112,
015,821,787,777,616,588,596,832,930,925,812,748,203,934,254,829,702,272,051,
688,389,585,726,153,645,467,969,429,215,499,141,691,989,741,887,986,438,427,
702,505,819,173,276,746,256,835,866,961,307,279,046,563,601,338,887,237,057,
722,939,515,700,221,240,100,764,043,509,896,498,315,538,033,832,553,130,570,
135,447,606,829,865,387,345,802,565,326,165,760,994,597,550,369,455,381,343,
360,300,667,021,418,291,055,230,027,966,949,673,863,472,026,820,378,239,067,
757,140,442,399,134,030,735,913,652,549,182,578,629,403,870,649,908,209,616,
626,780,166,744,392,346,611,428,089,441,489,632,363,207,460,080,685,292,025,
010,061,956,106,635,947,501,006,669,784,208,856,077,624,427,180,471,766,938,
951,747,344,640,462,864,988,832,336,001,994,317,420,068,624,955,901,819,912,
690,994,729,419,726,615,196,749,160,824,895,008,479,174,199,150,398,533,521,
230,128,772,896,821,167,765,095,046,996,223,190,199,916,737,884,391,636,419,
465,324,720,090,647,595,681,765,487,121,583,476,387,714,937,214,413,846,863,
140,089,580,360,156,090,549,260,491,623,047,175,456,158,807,018,783,905,700,
056,973,493,280,409,813,230,406,258,946,154,339,747,003,338,510,012,336,653,
239,918,583,623,384,789,813,970,012,491,054,359,160,220,659,171,896,942,070,
668,851,628,072,874,293,680,762,174,259,859,305,754,614,759,921,683,402,950,
240,405,672,929,351,437,320,403,938,560,233,594,834,638,056,004,226,687,424,
883,432,341,472,024,372,894,142,042,359,579,279,363,355,336,655,817,786,251,
705,715,111,905,697,493,318,529,127,588,742,978,675,735,572,368,152,959,710,
191,687,814,772,534,386,833,024,717,378,209,700,591,949,380,832,211,121,026,
186,648,987,806,335,617,477,506,399,865,286,746,099,061,144,193,523,712,771,
959,674,232,345,624,993,823,225,448,441,901,099,824,751,513,374,416,995,303,
665,228,784,706,075,132,455,305,524,173,209,008,645,924,769,962,449,086,129,
837,396,368,442,735,974,401,940,016,656,310,995,704,466,093,661,731,695,864,
532,895,224,668,698,127,755,796,453,673,635,142,848,039,961,876,019,115,481,
240,919,394,824,172,648,350,958,302,049,660,619,533,818,436,139,471,988,385,
328,689,341,206,296,817,868,105,701,890,752,468,945,415,181,645,151,760,593,
475,041,805,365,389,649,193,344,066,292,548,426,308,562,589,737,763,261,444,
386,052,421,001,548,673,157,295,931,950,328,627,877,590,685,356,447,922,903,
461,096,473,005,097,908,979,003,176,087,053,764,622,121,845,112,743,833,322,
233,090,535,225,159,094,865,478,457,489,870,411,393,718,377,787,357,914,003,
557,791,490,726,310,639,248,691,093,817,676,751,035,787,614,579,774,994,593,
685,328,132,075,567,869,754,871,651,525,657,295,050,351,327,282,633,887,576,
909,210,036,896,705,402,561,914,787,481,757,324,612,041,015,238,362,187,159,
514,839,365,546,961,180,372,986,279,910,521,939,046,241,424,726,187,265,707,
379,960,094,916,807,219,895,632,310,770,553,043,755,788,158,126,651,688,432,
655,354,016,495,907,995,829,040,002,689,119,491,005,148,612,705,513,216,653,
975,911,518,119,940,671,772,488,541,264,944,251,883,752,218,988,207,532,927,
547,918,824,321,791,894,225,083,571,610,983,297,320,592,370,166,470,993,984,
777,999,941,967,382,064,826,250,052,034,628,945,009,562,967,755,188,197,529,
559,048,317,647,565,964,942,945,817,068,663,288,190,400,080,541,087,991,465,
818,089,144,711,280,624,445,155,910,884,688,864,228,000,257,117,629,713,155,
797,542,023,324,399,781,489,346,396,212,137,504,943,179,068,948,343,365,472,
924,520,327,714,810,688,957,813,177,464,409,320,852,883,441,680,868,744,696,
399,187,140,065,647,386,708,666,101,825,870,154,470,762,510,629,143,531,527,
253,935,706,718,530,490,154,204,905,400,637,106,025,313,216,570,316,736,935,
498,487,658,497,521,095,595,406,731,206,172,619,221,495,309,847,321,022,175,
656,024,929,967,274,961,267,026,346,068,366,826,149,529,251,957,999,167,066,
715,275,513,964,715,184,524,660,005,090,624,751,872,023,947,214,761,607,289,
853,377,491,699,028,990,411,971,533,366,103,305,657,160,720,085,471,056,623,
181,670,094,912,658,916,519,930,582,083,854,682,884,106,646,441,345,263,366,
842,555,506,027,985,028,735,726,651,334,568,807,613,273,409,313,479,228,081,
413,195,787,640,089,563,684,152,616,504,433,167,520,761,997,864,039,911,374,
565,455,170,865,386,672,378,623,453,759,998,138,080,947,460,032,079,761,745,
337,758,014,584,679,146,862,295,875,963,680,113,676,950,605,579,552,731,196,
451,152,832,196,541,836,266,338,929,547,480,362,520,613,335,978,553,412,664,
332,853,411,163,696,720,967,147,103,191,101,068,624,004,349,791,218,397,520,
380,607,475,456,336,631,617,055,907,616,772,339,599,796,060,956,182,545,935,
362,651,217,639,978,475,473,884,971,660,066,607,986,557,245,795,014,121,421,
287,713,452,436,609,841,653,760,899,295,477,554,195,256,544,149,606,984,030,
481,148,697,927,538,556,640,068,035,702,692,555,759,624,730,900,181,330,071,
395,300,969,623,484,225,956,632,986,527,075,949,738,961,901,237,614,964,808,
492,645,872,516,267,344,013,888,484,050,738,237,847,884,782,950,057,463,504,
675,308,967,979,259,824,144,286,228,871,752,467,197,909,216,107,084,358,083,
349,210,170,054,065,719,285,415,983,589,568,623,612,400,863,563,339,444,124,
289,144,328,156,949,049,709,485,525,024,719,820,977,671,848,844,727,817,406,
328,984,035,779,518,448,282,023,638,120,613,571,859,165,701,994,601,501,051,
650,630,676,305,071,789,905,398,337,046,220,528,785,860,523,699,775,426,815,
765,385,600,456,738,318,695,734,022,251,523,108,315,136,216,881,096,489,947,
888,376,042,254,767,996,854,929,629,787,863,690,677,678,050,123,725,281,435,
229,429,466,448,462,560,964,858,381,646,559,005,194,401,500,067,592,053,009,
917,055,926,303,442,500,628,552,124,637,893,960,317,085,320,216,507,544,570,
563,769,918,257,262,293,314,525,339,214,349,326,569,111,935,415,597,566,428,
917,260,004,275,078,660,630,219,957,581,228,632,561,259,798,015,458,692,436,
696,546,710,209,376,775,750,956,798,403,398,667,330,132,052,756,274,770,995,
015,527,300,875,798,493,083,763,969,768,190,719,017,325,184,216,281,283,361,
587,500,659,701,794,137,355,849,727,754,326,298,469,870,622,509,603,057,664,
108,632,689,464,443,516,903,598,709,488,693,688,498,659,995,129,576,837,921,
545,709,622,881,762,020,922,448,814,750,276,239,294,861,154,230,337,523,479,
048,178,523,384,789,490,951,520,987,279,166,987,893,707,399,121,195,967,400,
108,206,517,620,141,860,394,786,703,763,690,745,111,578,040,842,454,767,071,
353,521,654,606,258,491,657,052,811,565,667,909,589,379,668,713,895,301,044,
915,160,766,905,307,703,134,624,728,607,189,387,269,169,915,523,964,353,662,
982,067,114,663,501,326,334,877,872,599,994,023,694,100,439,419,165,053,421,
253,437,616,099,688,047,715,244,153,012,783,923,179,324,148,880,796,070,333,
843,184,458,488,914,255,360,671,121,116,416,682,739,431,457,730,732,447,515,
769,996,103,527,773,865,668,653,441,153,884,854,246,041,510,806,395,112,209,
798,764,648,040,790,733,140,958,382,636,136,671,148,444,902,215,733,472,437,
798,453,342,649,237,553,925,821,428,477,351,944,763,721,942,625,769,425,667,
305,246,094,176,034,663,226,467,524,289,591,757,529,769,621,629,024,669,228,
116,505,714,710,005,814,283,256,754,793,733,173,140,441,772,365,002,819,746,
768,434,690,986,378,772,691,409,968,069,610,951,015,957,239,352,047,220,876,
158,372,070,367,094,335,650,805,514,405,487,042,832,405,235,920,467,607,294,
873,140,398,645,912,013,611,306,931,445,103,924,934,560,504,926,092,651,455,
417,131,889,509,350,950,727,472,047,235,681,749,984,865,589,728,755,172,239,
931,585,716,898,924,786,421,392,226,242,117,444,055,902,375,184,342,795,760,
609,726,009,509,525,135,748,905,731,040,830,794,356,253,595,433,632,005,618,
896,597,079,061,395,543,415,943,402,799,591,060,807,797,726,518,149,211,244,
972,501,899,226,184,526,538,068,787,381,951,667,681,134,892,330,254,233,403,
489,224,840,431,679,588,241,983,095,732,718,142,074,223,145,665,913,749,161,
132,142,396,851,681,509,276,099,847,454,363,361,966,156,444,161,142,379,191,
712,348,360,291,260,197,529,604,380,667,876,768,987,466,289,995,964,422,500,
078,619,131,080,149,341,663,098,708,307,921,066,792,713,517,685,256,031,075,
861,558,115,363,655,023,571,768,325,044,439,648,575,526,595,026,654,660,643,
804,624,029,150,158,578,498,171,356,411,686,217,868,736,956,288,253,200,781,
743,935,719,231,457,671,306,955,368,526,505,548,749,687,769,249,522,187,428,
902,509,377,040,159,817,812,269,747,419,483,161,947,559,053,663,411,891,442,
551,997,355,836,934,538,022,945,554,864,776,796,820,683,527,779,293,371,658,
224,474,844,670,535,589,330,398,252,889,502,319,478,186,563,824,612,089,899,
507,603,567,144,799,621,211,900,346,239,847,346,554,064,052,414,000,565,348,
602,126,318,353,259,653,057,686,526,982,262,435,385,969,284,373,826,692,027,
644,560,446,478,951,667,671,354,935,411,074,573,060,654,563,706,022,156,467,
960,797,150,738,723,987,184,968,166,512,709,544,266,180,960,316,229,536,738,
528,654,806,638,831,543,468,090,248,834,299,872,816,172,240,703,369,991,014,
284,104,666,917,894,002,988,058,550,569,701,632,183,217,837,946,394,957,761,
728,401,970,129,812,878,955,826,076,563,528,416,281,426,975,245,628,338,664,
330,465,664,529,389,445,465,640,373,207,552,419,820,143,152,181,644,592,428,
554,728,596,863,011,611,025,139,793,203,810,856,541,977,810,810,025,935,629,
256,563,018,507,906,449,990,197,100,748,125,205,087,143,099,768,431,238,213,
195,562,624,157,883,631,787,325,579,352,453,905,694,579,856,096,362,860,294,
778,396,443,726,010,871,058,635,193,201,526,779,874,348,413,796,172,554,682,
400,192,387,572,349,577,647,602,584,168,877,640,680,553,427,247,694,970,492,
242,295,646,119,040,950,214,523,330,361,825,338,218,311,681,466,661,659,970,
114,651,676,378,868,400,122,745,369,807,097,541,541,681,758,996,816,060,597,
638,963,891,343,507,004,220,780,653,861,031,727,064,862,562,849,560,941,774,
283,874,512,427,627,911,115,046,503,378,690,123,691,882,379,831,077,258,120,
839,524,805,363,427,021,895,574,652,952,875,530,975,089,130,064,570,356,988,
228,129,813,556,247,245,552,009,518,965,532,593,513,799,253,478,932,168,205,
338,687,557,913,985,191,953,604,305,028,951,917,259,988,277,340,333,418,493,
043,781,681,502,544,126,594,358,672,281,438,849,600,166,214,139,693,736,892,
809,279,323,775,548,811,298,028,062,730,761,734,458,537,468,027,112,604,827,
220,377,722,355,829,894,924,964,200,289,441,692,146,398,455,997,925,086,461,
440,605,476,849,264,919,056,997,558,600,067,619,284,221,859,770,938,118,272,
868,898,663,749,259,190,511,514,197,295,124,702,357,640,667,676,357,327,697,
985,743,404,480,110,564,318,490,540,128,727,058,822,442,887,398,778,988,519,
195,190,838,093,678,885,420,356,216,024,504,962,728,352,154,996,257,055,774,
670,571,040,314,515,886,916,702,194,289,304,732,685,986,845,138,984,441,510,
567,899,565,580,544,598,450,886,748,560,671,435,473,262,747,000,462,342,028,
503,131,217,762,779,529,848,053,069,452,374,480,546,840,312,612,849,064,349,
662,515,313,855,297,514,996,838,773,770,513,297,918,795,516,869,383,411,766,
779,175,406,236,304,833,879,138,738,882,197,971,537,507,318,968,103,876,458,
483,807,079,101,484,851,139,517,342,282,406,497,839,009,381,853,685,199,323,
152,944,153,757,763,405,501,482,526,002,417,635,899,675,899,105,085,422,168,
773,282,980,226,093,338,051,210,471,224,453,480,135,989,697,636,615,135,673,
301,797,099,925,875,896,042,321,503,458,663,979,221,229,779,497,893,974,810,
175,546,117,637,715,210,511,948,385,654,733,240,355,872,298,733,687,684,489,
660,375,120,883,980,672,128,510,657,249,316,252,302,703,904,747,884,680,827,
424,653,204,136,816,716,646,822,130,887,205,892,406,312,370,935,695,155,733,
471,371,323,470,121,348,381,081,025,043,876,464,038,116,634,132,948,256,555,
656,126,222,117,114,993,899,362,587,675,349,101,785,975,165,763,086,846,263,
882,784,043,756,392,311,478,092,309,445,639,030,206,100,815,432,774,190,793,
228,997,843,563,101,700,862,549,681,937,732,115,431,156,238,233,321,219,409,
126,635,352,544,491,936,067,263,223,683,420,228,262,120,098,854,870,889,259,
156,591,904,810,756,699,088,876,370,356,119,042,796,675,802,030,520,345,841,
836,388,231,454,133,154,230,230,156,242,572,267,016,940,859,330,199,295,696,
541,204,344,818,035,731,403,596,801,528,648,102,037,124,975,288,890,816,397,
400,463,197,247,406,681,865,045,342,377,046,333,182,690,669,385,411,095,782,
902,387,855,831,268,915,498,882,200,916,361,044,020,667,661,594,206,839,077,
144,938,288,410,960,818,075,177,511,549,996,539,847,325,505,546,304,997,310,
155,475,052,804,874,315,510,564,845,371,166,675,944,743,907,740,838,427,486,
520,612,068,186,061,382,730,226,301,541,574,467,678,865,972,687,644,538,011,
854,430,080,702,517,425,906,460,625,749,516,392,887,988,954,624,819,842,619,
121,982,852,667,453,745,668,455,993,217,808,001,052,765,646,430,830,314,106,
325,669,159,849,959,756,505,757,428,886,652,760,546,751,580,897,474,689,205,
524,548,539,545,998,709,701,554,806,818,067,366,524,735,433,705,079,287,991,
709,488,343,202,462,114,903,122,417,230,030,895,962,110,890,026,953,621,559,
719,560,678,986,171,855,971,442,057,212,139,353,649,116,837,542,160,028,218,
727,628,672,101,410,230,377,395,407,732,306,319,504,639,076,149,285,105,709,
538,005,828,733,690,744,782,027,885,235,459,342,162,493,214,811,846,000,875,
971,485,851,713,999,753,965,815,925,549,932,517,323,920,004,163,437,226,906,
876,471,881,009,289,930,654,436,214,436,647,353,538,222,383,994,191,427,946,
542,215,154,472,595,582,512,223,119,230,525,565,149,981,235,618,013,355,374,
549,893,422,445,681,192,356,280,163,907,974,869,201,426,499,082,314,147,351,
216,332,238,205,596,453,763,741,690,440,480,835,607,741,266,961,306,873,081,
679,902,232,496,503,099,686,899,891,239,404,915,287,563,360,218,751,114,705,
399,773,773,553,180,847,133,788,269,933,657,628,746,221,866,178,538,096,286,
837,978,396,251,682,627,842,465,710,746,009,265,569,151,502,112,986,195,583,
131,888,050,678,095,820,969,143,701,399,041,402,318,679,333,143,877,048,878,
173,791,915,406,668,552,752,127,471,177,377,324,468,127,349,927,246,070,363,
809,504,354,634,573,039,114,202,101,653,021,066,112,195,442,647,757,962,153,
118,300,814,976,787,303,985,087,709,400,644,410,711,036,846,381,235,776,262,
398,484,238,039,548,955,406,965,278,631,364,124,019,007,471,218,344,772,730,
731,322,925,538,389,224,468,885,264,315,135,380,511,789,845,427,208,575,423,
211,032,685,603,707,738,071,183,731,153,055,450,673,879,951,667,770,057,336,
545,613,766,187,222,132,854,609,243,075,055,296,331,007,993,118,110,865,199,
826,542,508,891,288,698,622,248,856,781,017,618,088,297,190,290,133,761,500,
725,842,813,320,790,498,706,809,729,129,476,257,988,738,435,376,537,416,054,
676,356,051,264,981,321,945,881,977,198,628,811,213,989,818,389,602,521,341,
472,420,207,134,068,864,193,258,112,429,669,843,890,614,522,041,197,060,900,
127,360,211,325,179,490,484,916,544,285,962,808,442,931,289,752,446,546,751,
964,037,185,211,632,241,692,658,607,829,704,038,777,679,819,495,377,124,582,
906,616,989,219,016,788,096,361,594,802,579,693,127,178,976,422,511,379,211,
696,593,659,057,104,133,159,920,610,361,180,903,158,893,275,265,171,644,647,
500,191,617,121,655,318,456,569,048,269,439,419,142,316,337,988,745,860,729,
990,968,015,068,692,542,257,366,073,842,248,667,946,265,658,269,093,928,259,
183,017,335,261,894,208,273,526,117,167,337,511,735,987,064,288,773,932,231,
633,967,234,520,278,643,626,682,067,711,181,021,314,141,528,259,883,890,097,
354,387,330,229,534,663,966,637,049,444,221,417,387,086,892,804,796,934,516,
547,705,901,141,448,854,212,191,762,604,777,797,575,002,024,705,153,576,845,
838,357,836,659,924,285,551,673,064,525,593,201,535,860,705,629,821,127,055,
606,998,528,362,153,476,529,814,306,160,964,775,413,872,807,706,562,395,289,
039,623,200,431,026,376,946,530,361,080,226,603,383,741,515,819,755,114,949,
126,950,817,562,324,751,722,936,467,233,161,534,256,845,355,513,499,633,975,
317,308,015,704,491,803,184,472,776,559,238,180,742,955,906,314,590,153,019,
299,370,031,149,716,752,341,049,389,458,802,584,863,871,661,625,930,053,494,
853,217,601,627,344,269,428,626,721,662,222,683,270,588,482,973,730,439,839,
533,809,110,572,741,505,489,003,964,088,557,187,088,825,815,063,183,055,602,
287,313,205,789,553,227,242,491,000,776,803,681,046,378,152,057,931,064,147,
105,932,849,495,178,158,737,887,066,088,073,712,813,391,115,584,469,541,062,
066,910,432,927,165,210,693,412,813,400,443,471,495,566,077,669,731,025,548,
209,709,480,609,084,355,600,625,298,635,437,132,450,413,991,893,966,613,254,
757,328,703,853,164,031,178,180,510,180,901,497,007,738,109,818,207,130,881,
594,384,615,063,610,453,701,778,317,734,315,944,601,568,586,979,688,087,088,
555,995,710,171,154,185,495,263,519,293,576,705,827,133,665,362,346,026,269,
899,009,325,318,175,947,982,459,890,472,890,114,945,679,559,943,058,057,777,
097,234,522,988,844,757,433,118,986,998,187,612,824,690,894,602,354,025,977,
193,377,259,897,739,886,493,762,439,520,983,139,790,252,366,098,983,121,387,
880,512,620,922,649,961,812,634,745,144,503,726,579,902,474,068,404,938,136,
798,269,391,234,500,641,866,786,018,034,541,783,975,879,718,525,284,447,360,
439,080,821,678,283,060,162,073,088,581,951,056,948,058,630,432,289,387,907,
809,021,234,625,612,493,072,826,127,100,921,811,395,677,083,699,726,656,727,
122,460,991,602,556,962,284,682,664,699,441,564,526,919,575,495,324,843,000,
172,658,428,764,512,999,134,231,069,783,914,576,848,173,149,183,691,199,977,
807,905,803,312,731,216,180,915,847,245,402,577,907,200,746,218,542,655,362,
720,458,627,344,905,861,361,811,624,435,747,431,046,725,769,776,992,860,976,
597,788,080,028,603,297,447,529,015,982,334,986,838,826,776,567,798,268,618,
181,169,986,444,294,452,043,317,908,431,393,319,930,541,794,956,702,120,097,
101,993,701,736,815,521,037,203,395,507,730,095,165,489,074,267,766,047,496,
717,371,227,763,678,290,527,515,934,703,561,154,510,427,159,262,826,032,022,
288,124,607,734,178,317,154,629,022,096,629,304,446,065,364,846,354,341,967,
852,620,575,723,272,787,033,307,192,610,830,266,159,507,920,994,877,344,433,
814,199,321,203,460,920,080,932,780,134,441,645,809,266,311,110,132,708,557,
871,141,178,425,025,667,455,306,609,960,609,026,646,268,061,175,661,080,273,
478,968,037,035,514,494,753,839,168,023,853,666,213,318,191,872,504,013,786,
226,060,329,270,307,905,103,069,244,765,593,224,197,978,305,650,963,686,956,
647,093,120,692,686,362,625,298,217,595,662,480,022,000,542,814,618,098,139,
944,597,836,165,388,806,786,074,103,174,881,041,156,275,983,876,658,118,867,
973,885,200,143,678,368,212,362,134,656,487,414,177,213,768,207,702,982,313,
961,838,881,324,118,661,196,022,552,201,706,079,229,401,845,201,272,483,736,
456,827,828,028,689,066,849,032,601,001,367,158,807,854,029,488,110,073,119,
185,207,296,239,185,794,824,424,086,299,406,695,622,649,514,600,917,557,248,
329,538,063,701,665,487,540,551,114,480,777,163,842,544,204,530,290,193,794,
873,148,976,311,557,468,403,804,729,154,672,279,167,865,187,373,390,924,765,
010,675,873,990,746,562,896,779,499,772,451,248,538,927,936,658,349,359,145,
976,140,043,811,304,265,200,999,356,667,523,614,619,730,726,298,884,534,493,
959,486,387,908,016,408,774,438,667,068,190,657,154,475,175,877,926,417,022,
730,986,076,281,346,826,052,801,397,968,467,007,662,658,601,726,743,656,124,
936,016,078,490,092,251,072,593,137,743,938,038,054,548,682,892,409,905,811,
537,276,544,695,302,877,522,987,571,925,528,778,140,944,708,007,292,292,668,
374,355,661,445,178,765,648,170,585,703,903,102,273,742,087,850,499,903,825,
335,562,261,675,961,844,990,453,242,815,312,863,299,585,118,532,747,622,489,
306,640,989,428,777,844,356,002,302,721,734,771,612,783,710,277,814,779,549,
070,653,351,149,638,016,048,296,487,186,538,038,963,047,516,042,699,655,015,
762,052,571,880,101,620,478,914,150,442,904,086,762,230,389,463,773,029,630,
550,967,835,302,191,556,792,033,437,071,743,991,751,690,826,930,012,216,793,
444,378,352,664,576,604,139,859,190,211,037,658,143,100,534,051,418,248,259,
721,789,978,532,918,981,113,566,927,373,032,423,841,433,240,603,228,975,349,
191,965,040,888,233,096,245,531,180,976,526,498,032,239,887,760,384,872,497,
576,632,247,936,403,795,522,749,588,106,082,040,890,481,770,029,511,186,169,
645,815,274,233,172,237,685,082,967,470,329,008,111,992,897,020,710,706,993,
816,077,123,856,650,960,180,016,751,577,569,696,655,230,007,169,445,972,817,
026,047,400,210,475,654,582,119,917,135,463,237,021,148,421,104,184,743,982,
687,771,905,431,401,928,207,191,417,096,128,364,063,035,593,860,600,496,452,
653,928,614,908,478,078,713,476,356,884,441,629,898,017,363,689,782,700,119,
524,760,981,684,610,729,235,003,244,600,462,206,144,914,295,824,538,693,292,
326,498,790,440,799,058,369,889,128,162,345,403,160,658,655,683,962,696,569,
556,841,502,344,494,881,526,569,529,530,465,244,306,739,788,936,708,001,301,
182,108,930,219,052,040,044,496,539,403,673,690,716,607,221,980,675,412,222,
890,164,328,813,996,886,670,962,489,218,509,677,182,148,008,217,784,881,542,
781,020,985,955,676,383,562,748,242,461,879,202,039,233,050,999,558,994,071,
870,191,689,439,328,213,284,975,639,808,158,096,570,823,231,191,048,574,839,
964,372,261,836,609,832,785,500,049,508,948,937,307,671,382,170,029,120,582,
540,428,012,274,185,771,068,594,915,412,947,884,139,445,028,972,100,940,818,
114,212,785,867,915,081,250,548,700,097,767,785,995,399,974,921,354,285,243,
318,599,614,149,329,883,338,576,872,495,161,681,712,810,536,760,500,682,337,
502,878,780,587,436,533,427,205,924,427,545,407,259,561,071,358,972,711,526,
782,878,194,547,235,966,089,143,967,387,418,085,143,955,877,777,181,506,087,
967,689,721,359,751,847,097,858,466,755,846,411,993,064,009,074,326,232,722,
602,885,193,047,858,456,000,721,200,832,034,175,019,443,573,716,399,491,017,
901,930,439,093,527,680,511,133,787,280,935,843,401,174,821,639,432,703,758,
535,770,280,125,877,004,171,382,226,893,909,328,746,282,339,555,369,583,199,
447,109,815,958,118,997,560,224,487,505,242,242,087,831,267,760,199,451,071,
088,342,369,795,445,657,506,839,210,019,334,032,688,885,826,296,651,785,861,
351,798,969,559,916,006,235,945,410,323,490,686,141,795,098,002,356,136,520,
220,101,049,040,663,923,445,118,867,354,369,384,483,235,698,264,498,463,330,
912,141,203,937,345,912,538,852,864,647,252,518,845,419,271,852,803,615,697,
749,773,017,400,150,520,106,721,415,260,554,432,521,694,949,305,112,751,886,
940,737,213,242,629,029,062,388,359,627,958,070,558,606,219,959,626,913,405,
329,919,035,717,392,190,403,081,518,698,354,353,676,391,975,475,888,699,495,
522,703,936,533,080,980,674,028,611,529,435,191,037,439,341,659,340,175,793,
495,144,783,548,442,602,991,917,122,379,221,629,223,211,369,321,124,058,144,
372,235,895,827,176,232,515,480,582,712,630,177,241,012,574,696,806,231,749,
948,875,540,827,049,154,037,888,426,765,473,887,717,298,484,108,078,525,205,
168,686,140,230,464,265,513,318,312,061,014,588,913,327,339,119,940,876,885,
335,185,887,790,052,427,435,036,643,424,776,694,331,163,862,552,600,633,478,
065,833,391,513,553,611,577,841,001,991,033,198,013,722,878,619,056,305,601,
243,897,859,623,188,161,449,335,923,681,420,627,700,248,157,743,409,418,671,
304,530,359,949,777,014,316,251,770,654,606,890,796,239,950,198,554,823,397,
958,707,394,511,908,809,616,024,884,158,862,266,401,786,516,404,032,134,478,
838,453,833,718,247,443,789,519,523,081,217,400,244,809,238,414,206,379,297,
165,325,337,161,032,399,143,510,594,270,575,809,136,337,381,794,606,477,628,
678,563,869,063,691,017,300,643,948,257,351,088,507,156,640,056,349,807,094,
143,339,468,365,707,539,111,663,857,971,707,183,661,566,733,569,724,429,103,
507,134,738,015,730,557,267,805,834,825,902,610,047,437,206,578,732,826,161,
608,454,816,643,936,728,063,042,434,952,678,832,187,964,772,765,057,332,979,
875,585,516,197,740,090,017,402,290,870,004,394,973,795,133,244,320,123,453,
636,214,714,845,072,936,448,438,160,344,872,465,864,696,973,692,121,232,143,
007,542,984,605,989,765,632,519,522,892,349,388,444,499,339,917,734,685,478,
666,103,143,332,553,658,520,561,210,146,931,192,336,740,297,207,665,205,007,
565,578,129,220,704,705,856,420,633,495,806,532,600,465,706,114,087,696,982,
873,239,527,241,699,712,025,421,437,644,828,107,565,307,441,606,678,854,650,
767,973,247,811,806,237,063,048,542,906,219,437,261,517,401,173,270,847,423,
384,073,626,098,549,433,629,015,807,695,417,569,816,898,601,777,488,466,866,
696,785,446,712,834,839,725,445,319,082,327,222,170,803,466,043,783,086,819,
805,882,863,007,563,008,580,923,897,957,061,880,306,839,955,972,708,752,105,
856,196,972,803,324,214,291,658,329,054,279,340,476,913,095,283,396,469,680,
692,385,614,289,721,527,760,436,243,288,303,919,995,274,186,173,201,722,249,
415,128,489,836,870,025,680,671,928,709,647,389,588,707,709,447,807,069,343,
351,768,373,172,489,670,311,846,522,412,878,262,598,778,350,604,858,605,048,
637,068,102,346,101,493,957,532,659,903,916,299,874,773,200,198,980,090,722,
298,336,156,600,906,263,523,495,730,590,524,525,243,264,040,709,588,375,745,
187,034,803,273,798,948,002,593,639,827,610,115,438,375,986,588,196,857,217,
948,422,810,807,840,402,921,632,167,581,504,670,923,043,643,015,474,993,169,
445,023,100,992,050,956,520,598,233,960,265,401,947,089,633,842,422,976,556,
161,186,628,124,185,551,633,830,962,686,492,221,602,900,054,707,605,295,742,
962,859,758,060,166,340,351,043,860,044,593,461,108,129,041,085,974,792,867,
032,403,725,437,263,785,037,559,595,932,528,134,216,221,989,795,155,253,289,
010,114,261,589,417,521,584,252,139,516,889,769,263,057,652,973,266,491,960,
782,008,108,087,951,452,378,429,692,902,731,422,389,583,805,625,652,324,525,
373,415,971,691,922,680,933,106,903,491,013,775,552,251,109,844,824,560,147,
443,264,755,305,706,277,521,218,429,452,958,452,717,670,351,471,579,519,026,
621,810,286,297,998,772,350,550,725,504,002,506,127,929,634,230,483,926,112,
238,804,138,508,908,735,485,116,029,359,213,860,764,863,730,716,324,295,689,
627,517,332,857,842,670,524,305,611,510,865,613,506,100,836,354,291,473,354,
120,492,462,572,987,337,628,141,898,349,955,065,206,223,344,252,275,601,648,
677,634,440,666,935,550,293,245,126,540,434,308,057,728,905,105,847,591,107,
428,850,653,405,817,509,281,182,174,711,437,901,018,112,326,654,762,115,740,
531,530,753,288,708,698,365,461,330,676,212,460,213,229,410,424,305,722,329,
482,213,332,366,792,016,430,106,969,023,221,924,053,389,969,166,276,243,541,
196,146,452,515,977,676,941,224,992,808,834,513,408,470,985,641,707,907,974,
677,334,447,754,386,761,700,018,473,025,410,629,971,382,509,337,378,519,827,
614,963,706,921,116,123,960,029,516,637,264,086,254,972,528,599,651,748,793,
180,707,675,034,667,021,242,388,241,290,763,996,321,923,707,757,867,864,694,
163,639,610,766,342,777,383,692,355,703,281,295,426,124,596,848,668,333,001,
111,328,884,099,840,665,873,675,998,016,611,034,203,914,093,853,776,763,295,
846,189,808,919,506,509,650,851,235,057,828,989,924,718,996,467,256,798,568,
817,807,774,772,706,803,088,288,979,353,636,357,329,010,810,442,389,044,597,
350,296,127,735,863,954,327,570,030,641,097,446,499,435,182,568,044,637,910,
880,613,793,713,367,631,798,156,956,245,585,301,954,555,635,191,834,270,104,
022,904,804,570,852,210,439,199,735,196,823,435,131,365,699,630,096,781,470,
900,520,599,177,709,705,529,463,608,495,509,392,538,427,002,703,890,929,507,
914,542,070,755,566,811,350,510,780,283,249,019,038,640,287,301,269,148,766,
766,360,038,412,010,632,265,079,389,515,276,485,885,779,598,157,368,223,314,
107,308,433,899,434,567,839,632,887,821,250,007,277,736,862,168,656,437,783,
181,293,791,676,775,198,833,573,818,657,132,265,696,747,896,564,447,618,225,
360,127,906,045,503,563,432,137,896,882,343,043,721,356,199,603,883,595,826,
311,071,743,114,575,357,401,074,434,250,830,919,959,584,300,195,472,951,694,
453,678,955,938,533,477,152,394,191,923,302,439,555,014,603,741,557,957,909,
071,603,013,218,220,151,769,870,560,595,754,982,123,897,314,474,162,969,753,
344,491,930,281,812,161,491,140,556,053,233,283,717,894,870,334,413,807,821,
091,486,779,858,573,718,971,995,770,059,661,846,470,347,571,241,417,118,112,
388,904,532,412,650,150,954,147,190,883,206,581,603,310,414,545,444,497,059,
033,945,547,485,962,543,169,334,966,728,172,245,441,729,784,675,342,908,910,
721,370,563,422,214,698,599,011,312,701,959,717,418,521,640,125,820,377,570,
460,178,191,855,263,387,606,393,541,658,249,614,368,986,508,418,830,407,826,
507,739,367,965,604,647,467,247,947,293,967,430,512,775,213,422,516,858,927,
518,419,805,934,039,346,386,497,820,957,152,239,931,435,693,507,801,322,160,
835,391,838,760,907,250,621,934,222,814,458,612,104,395,259,191,369,210,945,
615,557,227,427,425,514,013,221,259,912,452,065,605,030,320,989,711,369,147,
852,074,913,628,950,656,606,621,041,874,894,045,949,388,857,299,855,628,492,
784,411,625,762,897,900,498,480,891,442,787,024,198,886,156,389,659,153,875,
179,067,235,291,144,540,413,521,708,818,782,742,746,397,896,271,508,016,786,
232,881,133,160,456,599,334,445,096,097,490,165,183,809,183,495,606,758,893,
960,233,240,888,610,543,205,953,255,270,183,019,276,144,407,195,896,995,899,
080,060,253,641,974,499,830,591,083,969,881,821,256,249,261,385,670,499,269,
119,455,470,823,556,045,862,704,810,951,575,951,603,276,602,123,172,702,075,
378,831,646,451,569,209,048,362,632,342,281,130,363,388,379,664,523,960,975,
042,074,257,486,126,036,325,322,506,944,508,335,563,065,160,793,467,053,603,
191,754,443,432,583,684,279,973,008,176,043,355,737,971,099,735,620,502,848,
464,813,899,836,574,182,331,221,911,005,259,777,079,164,257,526,908,039,320,
593,692,443,433,911,109,554,027,168,584,837,959,378,611,422,762,803,214,984,
617,929,035,072,697,211,567,332,799,673,679,951,512,868,318,466,551,123,690,
696,966,204,072,201,139,862,850,683,575,260,966,963,200,599,675,325,419,740,
747,523,589,647,406,346,365,599,679,396,549,336,546,544,321,263,269,805,674,
619,959,453,083,494,160,396,647,363,895,280,666,122,559,598,939,808,102,286,
258,336,541,584,780,105,809,612,610,743,123,832,682,609,400,673,558,617,735,
778,251,946,657,633,985,624,130,047,331,458,606,111,543,026,430,781,285,431,
452,574,829,463,997,637,761,552,688,702,810,845,648,843,355,162,888,400,417,
976,678,837,211,774,105,717,975,194,337,677,897,415,043,215,577,334,860,828,
836,022,329,475,694,657,897,344,781,295,744,512,739,333,023,460,822,417,237,
877,927,511,900,621,786,996,566,197,244,791,494,300,368,887,902,098,691,559,
617,686,333,113,288,714,302,252,072,266,768,874,248,917,547,605,784,944,332,
947,554,353,657,020,232,224,838,390,391,322,141,842,729,786,679,852,207,736,
979,931,387,372,243,803,461,496,428,193,581,700,464,929,122,357,070,266,464,
747,082,229,147,295,371,975,896,888,934,978,025,766,080,787,451,931,277,990,
426,619,471,173,104,939,561,561,348,975,423,892,958,140,562,521,497,736,473,
930,167,015,840,256,464,775,805,429,709,471,294,756,032,753,864,878,300,473,
779,903,499,857,795,993,289,086,910,660,438,706,418,497,016,677,006,676,826,
781,156,843,661,446,383,135,606,908,376,346,460,862,838,894,689,927,148,130,
195,953,093,207,419,181,736,129,280,321,835,284,753,446,553,176,661,323,033,
224,112,163,363,896,003,308,828,139,845,555,836,959,783,842,312,788,527,750,
288,762,392,744,263,768,882,513,904,231,831,456,650,539,049,051,419,075,791,
103,840,917,543,867,128,624,385,894,914,512,358,324,062,878,953,360,067,583,
561,883,335,763,140,940,091,880,786,402,439,270,887,150,092,669,526,959,241,
279,119,238,742,806,873,535,592,375,148,855,768,200,168,920,443,187,201,572,
025,217,676,886,558,591,540,453,934,400,718,574,317,101,591,984,129,127,108,
058,062,183,989,183,516,150,861,707,127,536,828,794,860,688,096,540,842,717,
038,538,465,140,699,328,887,305,955,050,195,956,281,509,396,847,959,594,322,
400,639,154,671,993,455,777,997,410,153,941,127,314,401,577,984,663,935,150,
893,481,976,603,788,634,005,311,909,402,308,495,401,770,971,626,108,480,200,
112,113,562,042,238,096,125,985,261,837,439,184,500,805,504,062,491,289,866,
607,667,005,192,659,695,066,808,837,729,799,984,139,809,973,578,168,689,437,
942,176,548,527,380,684,094,291,354,700,019,359,942,211,426,746,289,501,729,
417,593,371,775,442,012,317,639,355,210,547,924,847,508,256,259,359,368,838,
969,629,670,844,738,644,065,594,793,102,963,651,120,715,183,134,600,172,838,
229,002,282,667,539,413,328,015,377,207,265,736,188,166,824,640,389,004,007,
933,836,178,864,736,688,366,205,385,892,759,740,190,157,204,125,195,722,991,
930,813,509,219,598,769,390,425,068,472,936,940,372,462,140,521,489,104,575,
994,360,372,789,054,565,572,340,491,509,702,370,327,472,873,457,722,177,462,
751,353,535,196,200,000,605,960,406,478,155,333,022,310,719,836,630,541,299,
375,092,248,082,749,756,834,026,784,159,718,296,365,885,791,648,479,940,144,
310,502,706,610,574,011,781,770,337,169,781,903,016,405,249,013,717,241,101,
018,022,762,135,912,558,170,667,074,128,973,928,202,372,118,704,647,171,451,
753,592,922,168,514,636,076,641,162,295,529,274,496,635,575,493,911,223,880,
412,514,643,782,573,160,059,508,277,413,332,830,282,710,798,709,986,260,216,
631,989,396,375,775,765,423,267,550,216,125,166,507,429,173,071,174,090,358,
568,823,973,648,001,032,687,533,887,768,605,600,067,645,987,796,173,230,334,
259,676,612,527,532,759,505,113,074,907,918,006,151,093,605,645,995,896,170,
356,179,239,466,995,180,354,576,525,922,719,774,615,635,453,004,659,031,583,
304,785,826,796,172,330,939,264,476,714,827,404,855,872,864,954,122,542,658,
953,396,529,196,279,421,564,978,871,228,804,707,889,257,212,040,328,659,366,
434,163,022,724,166,871,458,450,568,979,605,330,826,693,771,471,229,452,252,
857,540,565,112,921,905,151,567,487,255,440,526,787,079,158,781,338,240,317,
368,930,336,406,389,443,449,071,459,492,999,024,727,540,441,766,295,581,075,
757,155,535,568,291,607,215,696,046,583,004,030,273,219,567,469,751,877,744,
081,912,769,840,431,749,386,366,899,784,652,237,036,612,163,291,320,703,365,
127,297,973,101,042,928,112,802,235,731,812,482,170,295,597,294,236,125,223,
319,914,758,931,656,643,184,390,451,586,798,712,294,686,532,214,882,560,375,
644,646,031,112,846,652,959,150,446,840,799,293,204,667,316,930,286,193,101,
345,194,862,416,190,569,841,511,465,767,355,695,513,502,749,097,109,778,159,
231,650,561,629,690,349,485,887,747,915,015,488,619,530,660,495,223,920,446,
685,093,266,295,189,213,072,474,284,175,081,217,557,668,141,125,597,308,265,
099,195,787,918,236,534,312,112,164,317,559,957,325,615,134,538,184,460,857,
076,530,849,364,659,900,429,214,586,310,573,010,879,860,687,187,498,942,931,
745,619,989,292,577,127,815,053,696,871,869,574,037,077,019,719,518,130,105,
588,964,220,743,314,879,437,047,315,919,736,245,887,025,776,551,583,639,818,
277,571,324,189,282,706,225,546,265,569,734,002,418,342,747,864,679,363,067,
851,192,482,462,380,517,935,818,119,073,705,148,110,518,348,347,948,989,246,
226,129,696,863,116,251,044,544,930,605,565,227,413,611,768,944,570,934,671,
959,868,882,906,277,585,338,547,177,268,251,916,287,328,131,542,718,436,092,
046,867,329,914,340,075,097,907,398,086,309,348,670,640,140,748,033,467,929,
752,394,766,302,161,678,349,952,803,784,251,838,589,472,156,018,298,293,178,
319,237,030,143,564,799,651,754,010,982,553,632,899,697,739,546,392,133,525,
730,423,018,127,479,303,720,961,879,413,610,326,245,190,859,465,099,826,368,
645,505,923,425,612,813,045,682,848,256,761,050,109,174,533,443,532,725,581,
933,124,200,450,518,284,103,989,560,140,142,089,569,282,799,750,125,767,527,
450,487,496,324,865,390,584,364,617,887,223,381,104,870,202,637,174,313,196,
073,561,807,101,991,023,819,696,069,523,275,554,130,980,758,642,338,642,263,
701,472,415,344,405,808,202,391,148,930,658,357,725,006,293,957,316,400,626,
892,932,495,289,405,431,272,525,261,480,526,021,794,753,486,912,271,802,764,
762,276,019,770,794,918,816,502,737,230,526,026,364,779,631,117,292,711,925,
553,945,642,217,591,359,868,634,995,655,676,144,026,602,991,460,608,360,545,
915,502,201,947,829,245,254,018,167,150,028,133,864,099,810,579,927,098,025,
296,646,737,221,816,114,707,875,787,292,376,827,053,860,150,769,153,213,585,
772,764,290,911,372,829,074,367,329,912,074,828,822,702,645,634,276,535,879,
051,958,186,895,610,123,837,847,373,636,222,414,289,861,308,347,050,742,348,
063,101,014,035,899,392,747,822,399,519,469,964,422,460,909,958,286,577,723,
122,244,856,511,901,586,014,691,074,896,840,066,447,525,945,561,006,472,897,
147,658,954,977,175,619,595,768,000,762,649,363,090,245,978,672,013,607,315,
174,397,492,023,950,858,058,702,713,811,250,858,965,919,756,681,073,492,462,
624,528,633,843,147,562,228,793,438,764,602,612,876,501,131,113,000,136,866,
502,309,060,360,102,791,797,180,985,979,371,198,487,038,705,094,135,735,559,
164,576,633,391,267,326,356,949,360,763,065,403,081,616,523,418,379,483,879,
669,905,363,031,363,771,145,433,494,498,549,892,244,898,857,933,567,776,716,
229,682,266,707,754,039,200,024,740,824,745,302,054,461,545,931,926,408,466,
640,651,331,214,456,664,351,707,229,611,289,634,999,197,765,224,628,959,487,
545,061,106,408,932,356,648,833,634,178,589,094,718,818,361,796,779,707,592,
265,844,544,734,580,281,573,804,576,988,937,048,897,043,149,949,171,400,810,
793,642,802,462,435,585,683,165,834,334,564,193,964,515,594,887,169,920,329,
417,796,211,118,209,292,027,660,475,129,463,236,892,543,646,915,623,289,210,
881,287,724,721,820,540,560,229,560,534,627,371,492,229,435,698,591,767,634,
444,203,126,002,307,944,617,893,843,659,085,986,030,966,766,618,710,745,595,
426,922,540,389,977,309,249,173,390,562,807,479,437,733,174,552,251,185,007,
164,522,685,524,714,722,232,481,633,516,883,003,222,532,853,653,427,688,953,
066,842,214,324,435,460,367,184,643,606,537,286,258,487,317,654,285,134,029,
698,807,001,290,403,247,887,718,964,395,897,788,397,785,191,507,113,203,377,
575,757,665,567,400,898,708,943,232,489,325,427,788,646,062,909,216,179,573,
546,013,521,776,818,822,487,394,323,367,245,430,005,818,230,185,678,942,646,
864,939,046,856,965,557,737,375,257,544,384,631,485,200,790,473,563,114,487,
630,257,817,715,134,427,489,691,439,042,736,089,514,692,369,760,995,484,010,
538,051,291,277,278,721,799,855,953,114,577,043,988,227,567,337,926,006,155,
788,984,561,169,074,375,002,275,271,992,571,811,266,296,213,275,523,369,092,
646,817,521,750,950,604,364,779,125,740,209,612,009,865,421,115,859,299,165,
188,883,230,902,725,316,943,036,974,044,254,465,428,186,597,831,274,347,718,
073,056,463,851,694,344,451,195,774,586,289,712,380,837,896,917,126,473,481,
650,422,429,350,465,328,893,165,912,265,529,804,959,385,194,957,691,961,693,
269,909,064,938,001,814,607,630,647,638,239,939,905,752,283,499,035,125,235,
086,976,572,967,417,416,991,923,785,424,155,264,215,706,030,818,347,205,355,
366,206,132,384,812,711,999,477,439,591,715,846,618,624,099,180,785,409,605,
919,816,470,727,329,011,556,810,168,607,183,872,526,230,830,864,972,929,650,
454,502,938,326,976,462,035,167,380,506,379,376,820,585,079,107,655,384,646,
352,067,733,908,229,010,917,468,950,995,223,670,470,752,062,825,862,542,714,
818,390,071,356,836,539,192,354,600,396,067,497,493,703,867,776,909,162,779,
727,156,197,975,839,674,072,362,026,848,875,269,910,751,881,579,772,036,222,
179,362,307,608,148,759,536,443,696,441,508,746,616,392,541,076,811,645,471,
881,835,974,535,247,570,724,388,834,410,552,326,681,532,403,411,104,884,709,
892,723,243,125,918,067,882,616,134,316,585,407,860,277,402,635,671,284,201,
300,965,244,667,989,610,604,183,101,609,805,798,034,631,811,929,029,327,164,
405,335,705,279,399,823,337,029,216,688,376,074,215,020,138,313,513,972,720,
122,445,923,903,076,230,104,928,811,679,554,547,885,719,559,539,553,929,580,
527,649,164,891,517,191,375,567,797,531,275,406,609,116,234,613,770,263,153,
012,286,171,513,225,129,876,597,939,531,368,973,906,057,236,732,613,005,234,
547,782,657,244,239,284,117,350,322,205,412,626,776,581,725,431,376,047,725,
948,726,555,112,202,647,739,377,715,248,696,490,452,981,026,093,088,623,465,
885,049,062,592,490,062,119,097,664,998,403,089,713,263,624,036,468,280,335,
768,323,360,227,946,896,025,686,893,618,694,486,700,561,234,793,415,909,908,
078,433,522,786,175,322,728,021,137,082,809,784,593,362,062,552,266,179,414,
706,941,294,533,980,369,538,470,140,110,618,274,237,027,176,206,690,205,563,
462,723,568,208,379,011,727,286,884,306,184,634,775,075,953,682,274,027,355,
925,615,288,256,382,139,635,527,842,396,066,511,780,566,779,940,680,549,286,
599,157,765,982,995,364,582,871,548,646,865,347,685,380,152,075,078,351,963,
214,953,799,325,462,918,829,973,156,491,962,033,519,898,952,237,923,141,478,
769,187,470,081,237,643,079,544,078,173,345,182,812,524,694,895,294,203,215,
120,067,298,856,332,759,243,321,295,074,940,510,744,101,946,896,587,280,186,
477,474,991,490,150,244,681,003,268,233,568,056,050,795,322,790,133,510,171,
307,430,180,359,083,695,767,961,498,433,888,461,062,265,829,147,347,794,218,
581,740,763,594,244,291,746,211,618,749,150,252,815,883,835,205,004,067,928,
562,663,759,184,077,114,744,857,940,275,036,790,274,132,944,602,205,109,600,
984,639,020,385,132,149,938,680,072,711,335,691,044,346,293,018,375,515,914,
233,446,161,144,541,642,482,457,580,735,777,629,525,307,758,892,703,099,810,
766,210,972,866,941,508,296,230,593,133,945,921,847,191,420,193,772,570,334,
498,064,923,265,563,249,264,647,883,206,585,085,561,197,759,127,033,950,720,
516,801,425,365,437,236,250,404,151,374,202,404,842,629,647,020,054,987,619,
176,554,235,378,911,522,177,253,288,974,298,483,454,807,575,643,050,019,285,
220,227,601,810,699,481,891,408,496,881,422,392,429,983,238,830,319,859,373,
633,884,854,796,329,225,708,653,202,417,896,633,665,688,832,782,482,355,760,
096,655,674,196,623,547,137,987,979,640,803,386,677,489,942,282,294,738,413,
787,331,490,312,569,866,579,018,944,147,303,254,740,819,787,279,504,687,182,
754,177,531,800,615,147,725,890,533,107,664,944,391,280,909,075,350,087,578,
273,208,568,726,408,748,759,251,911,603,724,026,774,194,933,750,455,801,399,
270,564,271,768,826,584,957,983,281,620,394,875,464,628,760,709,938,134,436,
228,169,443,619,611,048,084,288,592,532,357,859,562,788,998,941,436,992,175,
619,601,820,188,480,215,289,489,791,216,262,356,902,602,783,766,583,037,890,
656,426,965,708,108,709,512,057,822,226,155,660,970,403,029,405,049,483,253,
420,421,690,529,186,315,865,875,451,483,368,786,499,365,086,753,200,092,788,
184,192,647,773,252,420,220,817,580,489,598,238,199,624,077,447,076,791,027,
249,190,056,246,040,724,341,658,912,730,948,041,137,536,452,121,840,628,013,
410,758,995,932,843,248,582,775,563,940,474,732,037,745,892,866,732,307,155,
766,300,826,743,953,678,096,819,494,833,644,486,405,821,772,689,114,746,217,
450,431,844,427,235,359,175,436,535,552,932,107,090,534,154,690,334,554,220,
790,423,489,890,466,901,058,626,112,678,562,173,398,349,060,152,967,792,061,
368,768,515,459,855,284,749,713,626,815,793,397,013,002,463,339,721,820,037,
487,545,746,529,341,113,310,797,418,074,698,772,267,630,314,142,739,451,629,
602,546,301,721,086,225,102,758,855,536,549,997,973,106,193,218,282,836,845,
011,655,549,628,001,560,797,535,514,054,066,509,420,572,163,998,250,240,128,
433,584,702,157,741,611,358,055,691,878,578,543,461,050,612,173,842,163,526,
290,112,496,887,118,369,022,275,272,070,974,524,611,436,361,702,303,131,513,
814,580,720,830,770,942,154,430,541,011,833,441,168,369,313,027,749,988,147,
021,209,932,348,938,337,556,450,444,272,961,658,661,637,340,202,792,737,076,
980,534,372,162,278,112,981,323,051,486,454,971,477,053,865,996,991,674,142,
729,568,313,130,350,775,156,563,164,549,842,749,135,360,497,874,141,536,887,
793,208,162,756,151,028,165,886,162,364,329,098,409,148,787,949,296,379,910,
625,261,445,161,647,898,308,204,538,269,296,649,010,375,570,536,923,238,573,
549,431,801,085,049,821,739,088,476,825,675,668,812,072,285,142,720,589,506,
651,214,987,818,203,818,342,681,139,899,914,219,159,150,375,753,803,861,131,
461,817,604,677,201,696,715,722,276,890,746,513,595,938,744,164,182,754,453,
894,134,088,373,240,017,913,580,408,815,901,457,286,096,845,056,831,210,358,
556,863,740,266,921,567,889,825,657,109,858,658,616,529,553,903,856,995,800,
237,086,846,342,918,074,334,149,744,740,682,017,593,928,718,864,768,828,961,
655,645,831,906,099,708,526,674,286,107,676,665,951,594,766,036,624,756,625,
680,732,681,235,724,458,641,346,999,065,632,518,312,637,991,093,789,442,922,
879,281,022,007,533,103,426,334,407,293,762,980,631,693,248,220,639,929,590,
958,713,035,302,635,542,087,203,889,517,823,768,969,047,987,271,484,408,426,
250,327,511,483,544,241,754,798,469,682,825,223,547,954,888,048,523,961,489,
771,890,771,633,865,011,151,577,826,697,295,291,501,681,762,077,277,558,520,
143,171,032,099,950,339,568,922,400,260,718,085,532,731,706,180,304,059,119,
034,046,268,882,585,753,289,525,322,935,596,287,259,226,106,689,319,135,269,
464,445,436,309,322,082,776,642,298,698,666,617,524,857,765,096,008,258,359,
911,193,730,339,138,517,245,138,578,499,854,580,138,498,670,353,041,774,882,
278,175,532,041,353,556,344,657,251,467,417,771,136,920,843,979,651,775,515,
673,658,494,674,740,209,681,766,482,931,623,364,264,708,869,873,815,470,798,
301,251,074,430,500,524,214,442,648,471,448,763,138,151,658,993,181,963,932,
770,665,404,708,577,987,583,822,195,029,875,595,656,973,042,741,509,703,446,
273,263,103,867,174,556,931,648,687,377,838,440,101,621,501,385,418,317,971,
824,644,137,290,057,552,298,569,185,711,094,328,189,795,711,939,837,164,949,
704,676,788,191,926,220,429,109,488,526,067,118,529,705,754,878,716,669,577,
067,937,432,621,302,108,321,263,739,415,772,804,893,102,383,852,010,617,430,
043,780,208,967,058,359,281,324,906,706,038,135,876,895,410,740,652,327,810,
319,358,908,517,830,785,518,114,596,359,084,696,930,049,102,324,964,128,705,
329,247,999,419,564,360,914,550,779,429,183,434,297,063,298,382,813,096,692,
765,347,599,202,338,234,268,076,784,292,174,808,067,318,554,893,983,598,671,
860,508,681,253,337,714,852,346,564,922,670,001,014,451,038,732,991,443,905,
209,635,941,593,651,714,569,904,201,555,261,956,362,503,314,036,723,980,713,
806,807,890,703,189,245,241,105,081,972,738,132,376,628,078,215,648,894,617,
795,257,281,742,237,872,266,254,473,994,324,551,370,104,350,512,271,949,559,
675,921,731,982,792,833,017,127,544,613,898,028,120,334,000,497,656,824,383,
177,218,742,631,698,650,836,666,448,458,119,306,230,369,437,862,342,807,895,
470,340,995,949,420,823,474,278,786,560,195,075,080,679,682,551,090,014,955,
291,064,662,277,531,021,989,039,489,881,005,951,488,271,963,571,345,540,838,
258,488,719,222,216,865,388,087,473,058,806,868,441,747,252,047,220,127,254,
725,552,524,866,580,449,657,014,679,130,905,634,979,178,784,032,706,926,795,
336,008,556,820,769,033,773,149,166,813,728,550,359,619,266,746,591,395,465,
528,602,458,045,049,269,306,095,619,672,043,395,443,442,919,116,599,105,087,
553,700,739,769,812,607,917,738,758,849,268,620,513,295,536,448,110,569,275,
763,599,406,183,599,974,702,866,986,827,328,569,724,792,488,389,921,390,434,
420,705,884,150,319,813,930,925,203,025,210,693,811,834,865,361,295,890,352,
452,137,869,822,173,220,251,495,538,337,487,884,180,059,424,459,862,789,347,
656,621,357,785,782,413,986,438,516,599,054,198,598,090,953,862,647,353,119,
891,886,407,225,182,158,972,765,797,726,164,119,087,727,401,946,201,972,987,
584,237,877,286,261,992,887,050,828,850,675,212,505,347,396,405,096,609,294,
426,811,003,592,710,467,749,366,689,019,672,210,060,219,379,097,955,197,085,
531,706,793,218,677,674,299,319,116,238,003,641,159,387,803,123,094,349,264,
204,007,877,580,754,116,059,973,919,776,729,096,024,957,387,565,435,610,516,
144,584,722,760,643,711,729,243,116,343,517,079,687,967,661,308,886,730,846,
616,288,617,512,923,988,207,879,773,980,665,187,485,194,626,335,276,538,864,
474,517,291,716,812,770,145,400,942,260,197,133,940,230,096,777,689,534,067,
733,603,178,525,293,027,364,619,002,852,426,154,665,523,691,808,736,993,793,
057,205,616,360,222,409,203,730,225,882,579,940,463,962,633,578,326,035,514,
382,675,028,266,379,525,289,809,379,789,366,757,439,859,471,669,874,044,257,
297,862,741,672,811,820,504,023,964,756,756,046,046,417,273,615,026,327,899,
868,374,180,518,448,595,394,024,555,534,311,607,503,913,750,401,617,284,080,
424,204,491,905,148,726,062,153,903,869,721,752,577,369,554,945,895,166,782,
743,908,546,680,554,974,546,305,288,486,615,676,659,183,998,825,562,205,606,
560,749,227,057,601,862,939,080,208,462,005,426,885,294,176,512,909,098,451,
596,462,605,723,944,475,667,873,312,001,131,327,165,155,375,810,085,620,279,
138,406,377,137,654,195,348,775,449,093,445,848,519,992,038,217,368,561,584,
095,059,187,112,243,212,637,820,808,544,749,670,730,951,826,366,513,571,955,
399,915,511,876,247,960,059,870,209,666,247,887,436,931,685,011,446,295,384,
872,037,842,132,741,086,221,302,865,748,210,827,024,273,464,169,514,298,941,
802,013,644,297,216,065,373,156,159,255,029,725,272,044,087,568,270,386,753,
367,545,689,338,332,735,880,227,905,400,421,280,923,134,383,454,686,913,609,
323,823,544,954,506,620,086,906,144,304,978,056,060,767,570,208,798,729,903,
626,151,001,893,346,076,191,145,196,704,860,208,544,007,811,842,937,093,471,
715,361,746,813,514,558,832,094,527,993,909,896,039,757,828,120,757,248,117,
470,476,316,540,363,506,522,234,145,613,152,102,877,227,281,185,025,787,386,
941,749,012,405,085,630,686,032,276,293,189,445,482,521,622,937,910,524,056,
937,031,532,803,909,822,139,615,036,937,087,361,052,787,306,741,077,331,590,
509,314,466,202,488,569,335,333,440,955,049,805,989,307,316,503,498,096,374,
210,144,473,968,873,440,967,372,630,280,179,774,358,812,123,192,517,026,226,
090,296,515,943,021,634,453,360,536,123,446,827,255,178,030,631,337,446,440,
950,076,910,434,495,500,523,467,536,078,690,589,270,730,398,285,349,176,157,
451,306,021,925,406,589,735,441,939,775,936,562,495,445,525,258,886,021,835,
496,515,050,636,738,811,791,275,923,487,668,853,952,010,250,560,044,756,559,
804,672,003,539,063,823,865,336,142,501,435,516,102,055,580,339,661,884,733,
301,873,773,723,426,142,889,854,171,911,295,692,373,464,940,494,278,866,567,
077,619,719,067,907,552,445,035,263,997,904,012,928,504,019,756,707,372,836,
365,658,821,166,969,108,201,283,197,915,092,881,344,439,568,741,817,657,481,
889,812,848,229,199,888,352,319,562,814,071,113,283,205,576,384,844,433,981,
675,673,903,498,174,236,386,863,374,716,383,856,772,405,492,849,067,750,995,
365,339,251,833,606,284,556,830,243,692,269,117,025,830,008,748,743,119,623,
920,354,929,429,162,174,024,568,396,549,769,237,587,579,910,961,054,991,832,
128,806,554,488,077,210,041,129,452,031,783,617,878,287,823,656,898,866,381,
549,055,390,083,081,843,904,747,502,496,632,707,463,665,233,239,522,051,821,
884,528,544,325,280,278,891,308,463,305,378,023,304,194,356,840,387,499,904,
814,390,055,302,202,885,845,254,719,371,948,180,310,722,152,565,026,172,327,
627,355,757,467,491,724,063,569,232,717,318,645,686,825,184,795,961,054,023,
023,326,776,307,530,299,026,387,554,745,524,654,934,755,555,114,601,445,651,
262,050,172,222,230,780,730,133,622,840,699,015,148,217,428,520,721,011,439,
540,768,939,139,740,175,052,025,880,430,950,744,255,142,415,702,881,402,386,
981,789,825,322,325,138,389,153,995,993,037,672,749,586,102,248,597,453,254,
655,208,290,764,549,753,362,844,290,261,358,176,816,573,033,132,205,411,340,
754,500,822,696,017,640,605,350,932,604,705,842,690,090,909,742,706,216,478,
135,915,887,385,085,377,630,962,354,392,945,601,343,172,314,219,749,504,004,
075,045,174,378,562,290,679,861,811,012,835,555,220,979,738,701,316,172,889,
111,014,206,358,087,468,853,011,011,320,324,323,932,076,387,980,958,125,510,
518,925,540,977,884,245,361,234,169,427,740,980,318,442,010,429,438,186,338,
441,237,152,926,221,616,654,901,332,374,312,133,693,762,669,319,739,211,821,
140,255,308,725,066,184,456,148,014,585,582,400,131,023,723,496,104,818,949,
491,529,114,578,782,270,596,139,911,468,974,511,635,205,111,337,407,793,861,
652,954,559,567,956,474,818,367,171,180,409,791,723,297,985,170,022,937,254,
800,489,683,282,802,097,480,354,240,624,719,415,309,399,677,478,619,541,158,
779,365,350,495,343,497,952,766,610,388,893,546,715,828,133,946,948,592,383,
919,871,334,802,910,038,962,797,497,580,021,465,993,801,821,549,047,010,954,
429,477,541,437,682,990,603,772,498,943,479,747,507,064,397,448,580,100,925,
265,941,915,486,919,167,720,011,467,674,714,394,909,322,116,398,116,826,438,
144,342,266,051,017,099,822,872,894,604,781,036,333,617,980,117,659,102,537,
321,765,984,679,744,515,307,156,270,251,276,837,998,227,696,666,058,634,625,
319,083,363,403,545,643,349,244,867,702,390,042,221,008,661,040,661,828,081,
818,931,939,039,110,646,659,832,967,219,743,281,820,872,227,843,022,727,737,
218,447,919,017,956,591,954,592,923,148,774,275,091,574,850,079,319,897,846,
462,591,515,745,946,403,079,148,632,098,082,779,292,055,629,955,551,414,141,
725,484,981,402,840,801,459,446,950,353,440,860,010,970,298,323,311,940,331,
415,289,419,705,643,914,561,817,909,886,561,170,747,401,618,747,502,314,434,
402,738,798,770,060,289,966,453,867,162,014,896,987,504,430,284,840,180,238,
908,259,232,591,230,750,325,840,247,823,942,207,289,396,867,742,889,928,122,
326,056,497,807,474,643,930,881,456,088,699,615,846,852,852,025,810,640,994,
331,788,154,572,552,415,990,856,283,763,457,453,631,103,662,466,640,477,695,
407,206,185,284,420,250,669,436,489,600,140,587,858,553,354,853,279,018,052,
571,344,683,887,804,001,412,321,081,403,050,762,341,970,745,755,930,585,897,
031,261,330,819,777,241,391,205,106,063,337,945,600,273,476,706,779,608,455,
038,342,360,218,016,372,934,914,130,566,366,670,013,520,305,162,167,516,634,
317,968,337,528,557,521,377,223,437,150,871,073,344,302,818,273,223,293,047,
046,898,496,850,871,965,615,463,713,395,801,751,076,053,088,892,588,792,506,
455,611,206,745,122,423,374,450,892,325,118,830,938,228,993,436,198,045,430,
452,039,448,236,257,190,689,615,689,947,148,940,431,675,879,987,683,066,928,
852,345,057,183,100,512,851,281,694,009,373,264,652,758,883,300,581,598,873,
188,594,807,101,965,806,731,464,627,987,083,430,572,598,097,529,492,688,330,
446,028,609,998,065,905,582,063,748,892,300,264,489,724,315,981,906,999,962,
501,469,651,355,401,666,447,778,751,049,462,003,215,437,702,399,786,805,468,
527,022,326,289,030,294,087,868,812,243,418,242,513,502,066,745,137,016,919,
497,648,632,377,294,256,287,745,582,659,535,569,262,892,345,434,192,239,262,
394,685,671,118,058,384,099,651,741,970,139,937,851,425,282,485,645,589,576,
194,138,294,298,327,412,864,935,124,856,280,332,472,402,029,752,286,608,801,
485,504,706,914,769,149,690,867,076,957,494,731,511,476,163,019,178,938,274,
232,484,330,762,667,325,793,336,608,848,322,364,077,721,085,687,849,060,567,
471,301,892,496,500,880,608,402,628,743,544,257,522,255,080,233,425,414,174,
784,481,752,420,226,930,610,793,767,347,066,334,617,005,573,967,219,452,097,
650,024,792,018,401,872,274,457,178,387,324,449,902,385,665,354,515,409,101,
732,954,497,121,438,872,191,284,428,645,283,214,788,350,415,397,426,555,536,
527,054,988,907,221,666,160,624,934,853,772,712,339,451,859,996,271,082,598,
868,810,596,239,217,514,905,339,521,355,496,545,353,595,283,714,068,883,773,
074,778,371,203,325,432,610,989,105,461,292,036,942,654,337,924,087,540,898,
241,419,864,147,693,961,654,051,135,169,836,517,353,680,694,535,159,296,793,
551,726,147,489,495,758,077,002,734,704,975,994,855,728,319,465,533,245,221,
683,610,848,103,082,219,479,437,547,900,035,580,319,655,937,692,435,544,957,
998,272,548,225,159,408,957,010,013,642,225,005,689,549,033,994,115,400,954,
725,220,773,669,298,076,471,813,005,127,178,295,593,609,373,311,081,510,581,
437,119,511,075,916,807,856,872,106,333,110,406,378,961,038,267,892,038,273,
032,365,722,041,621,636,663,159,354,914,642,109,076,011,176,437,192,127,418,
996,411,589,604,423,343,011,305,505,944,545,499,670,794,335,458,585,859,433,
834,052,609,585,010,909,890,838,391,577,065,733,260,694,400,856,375,407,070,
314,439,149,013,965,193,194,763,623,364,499,141,750,201,987,039,114,475,198,
960,880,835,710,971,063,428,036,553,374,940,086,635,745,211,053,539,911,189,
817,688,410,948,738,263,600,095,982,769,269,907,730,850,757,681,646,875,331,
391,502,849,376,708,487,570,388,520,742,272,849,944,117,827,451,257,427,875,
456,282,121,014,370,864,842,596,766,954,562,184,446,296,586,288,763,436,476,
621,050,211,114,102,738,806,239,785,282,148,404,350,766,379,427,243,420,243,
521,577,627,865,317,244,884,554,393,447,396,647,418,677,229,321,762,827,044,
126,246,917,326,974,245,785,473,284,493,288,127,046,044,383,973,974,765,354,
985,739,221,667,093,921,984,425,353,051,827,664,212,534,541,302,698,811,083,
305,946,932,963,456,885,855,794,035,744,765,012,807,911,281,944,282,220,650,
978,677,465,814,562,274,767,457,068,665,231,094,071,122,825,763,875,143,299,
638,456,803,755,672,493,017,501,624,209,735,518,744,488,982,776,088,933,619,
809,403,906,228,376,652,548,795,169,544,224,971,515,239,522,995,726,405,444,
981,375,201,107,757,244,098,173,193,915,084,465,135,968,617,972,566,769,857,
270,311,740,363,399,253,736,403,951,417,659,991,857,699,395,650,244,251,365,
913,099,809,826,017,525,527,990,919,003,723,156,418,784,003,098,180,841,591,
077,778,057,885,444,113,169,746,506,713,947,151,197,071,693,767,910,205,409,
838,200,901,860,310,158,178,451,214,407,592,125,128,155,605,212,833,722,455,
990,260,514,968,845,478,801,593,670,084,276,698,055,979,261,991,108,720,195,
817,427,927,064,213,023,178,891,380,132,214,650,346,689,676,464,054,333,484,
210,375,486,156,676,347,923,841,124,872,845,274,290,621,517,386,167,308,665,
385,629,804,879,428,063,928,848,036,499,857,399,703,619,967,034,817,868,002,
205,315,882,627,665,524,691,807,564,104,137,091,145,837,999,912,964,272,197,
796,936,322,570,630,812,649,438,356,965,205,029,090,315,801,072,518,114,715,
879,049,354,067,784,648,533,538,418,340,316,442,985,831,542,172,656,862,242,
745,126,086,613,623,745,887,617,353,714,553,337,098,425,319,830,445,851,504,
445,771,758,268,883,268,554,110,287,190,362,643,484,475,441,833,997,991,535,
602,977,178,790,073,744,714,899,596,583,597,748,652,436,428,629,788,409,909,
204,996,733,475,800,329,660,371,652,144,804,984,172,885,689,385,180,492,859,
636,867,755,434,189,522,538,870,256,241,807,991,343,683,426,716,373,045,420,
847,963,685,798,248,653,883,181,756,092,021,421,928,006,136,515,410,867,240,
716,686,425,969,602,069,592,632,230,213,947,963,709,564,911,270,341,502,538,
430,400,366,881,522,167,837,078,192,834,967,219,504,533,904,318,395,199,366,
753,510,758,326,215,554,773,409,325,976,011,385,432,021,181,350,417,288,385,
619,328,965,855,965,164,683,990,898,600,020,871,034,912,198,813,779,008,584,
211,494,875,974,616,675,295,503,630,280,931,978,846,271,100,699,759,602,873,
628,322,545,957,963,204,228,713,279,060,019,148,865,148,018,561,159,750,487,
754,000,088,960,151,119,345,655,626,570,571,840,523,904,262,137,315,236,511,
321,188,803,999,463,415,748,208,507,565,932,008,983,095,049,230,162,698,509,
525,410,443,883,810,529,605,854,964,532,268,959,139,348,462,912,288,863,315,
412,241,061,539,537,910,514,538,183,629,790,259,771,789,458,966,565,134,586,
035,543,912,885,289,821,358,363,848,194,571,474,596,354,571,305,159,462,628,
859,633,452,980,758,460,244,497,638,917,036,398,083,389,601,064,386,701,082,
022,293,239,586,876,320,221,337,180,561,412,467,674,268,651,250,018,848,349,
365,209,226,760,457,469,568,712,134,363,928,123,325,194,284,158,147,813,073,
141,739,362,656,702,362,862,091,383,908,399,383,469,071,689,956,447,096,556,
856,564,896,839,599,537,703,937,396,978,070,159,673,194,601,727,711,748,026,
359,505,475,317,051,886,525,169,867,612,135,836,835,177,252,604,199,496,593,
013,722,313,008,524,955,722,776,442,317,892,922,509,302,495,657,202,935,844,
657,062,272,156,429,331,884,384,150,449,584,606,988,465,329,676,537,871,594,
565,530,148,942,239,363,998,758,258,563,934,001,333,612,828,878,103,206,905,
734,110,010,103,354,368,433,146,456,150,699,848,397,417,295,429,802,678,139,
820,013,915,203,524,458,192,676,848,965,642,547,657,726,408,945,854,355,666,
351,661,226,202,845,236,921,464,417,916,826,666,009,701,668,545,137,243,691,
643,534,958,127,823,846,005,482,324,808,608,881,577,348,432,293,166,828,878,
741,222,872,894,379,567,423,556,021,274,329,265,494,720,193,650,233,149,041,
140,775,878,549,869,717,294,173,440,358,166,910,012,290,599,301,243,080,258,
509,628,740,179,963,428,685,679,756,173,578,153,796,296,162,911,028,373,399,
685,780,274,196,295,984,384,359,760,591,884,196,938,948,191,139,090,610,307,
241,907,256,129,212,106,541,046,476,341,546,233,420,531,366,005,282,278,082,
960,590,287,131,633,678,533,839,192,015,066,302,334,678,990,920,188,152,536,
095,724,110,199,872,736,610,930,039,527,273,723,744,660,639,837,794,452,855,
355,245,195,632,150,234,330,719,255,858,659,292,457,333,461,083,081,107,694,
269,047,470,901,561,947,629,811,828,984,222,544,895,618,294,194,326,077,396,
845,375,989,264,901,715,939,537,464,500,362,266,871,845,113,243,142,105,391,
080,878,806,794,660,748,809,843,717,684,659,749,130,512,543,189,660,157,415,
668,072,354,455,535,175,700,655,873,439,702,916,202,717,147,535,986,281,988,
221,148,667,720,473,107,989,320,579,768,298,146,818,670,463,873,232,584,891,
456,704,828,140,015,245,872,611,599,288,425,478,881,679,840,668,108,780,587,
193,248,716,472,732,328,905,718,744,544,978,909,034,069,607,376,195,281,782,
865,521,457,236,355,927,976,958,282,282,230,102,698,315,514,252,313,309,462,
543,034,326,490,745,236,417,410,718,171,474,661,461,890,960,410,503,548,565,
236,845,924,229,072,161,647,185,349,658,954,645,842,176,131,323,578,367,766,
819,361,785,455,523,178,503,815,256,249,680,672,646,195,636,758,528,526,316,
933,669,152,846,290,423,790,481,279,227,534,448,828,787,210,382,621,092,861,
476,475,992,920,603,135,966,535,137,484,008,688,641,648,415,269,285,369,867,
582,878,630,094,201,468,577,686,456,294,177,493,037,184,219,203,641,247,635,
989,022,689,698,970,646,482,337,194,537,214,422,147,077,922,738,296,913,871,
761,965,674,835,679,588,669,521,535,023,966,634,482,616,095,785,629,728,279,
286,593,142,832,647,526,774,095,485,151,874,090,638,040,818,043,507,382,943,
787,899,206,697,035,166,113,638,321,699,255,600,414,560,603,491,143,648,015,
212,444,370,301,710,624,060,567,426,231,606,665,752,478,685,503,819,633,033,
635,834,321,359,548,040,157,033,788,683,924,707,941,815,181,481,631,747,589,
636,805,216,433,507,288,669,430,196,783,127,582,944,967,349,159,514,690,303,
067,041,470,739,777,899,984,960,463,311,535,775,622,426,854,790,845,262,026,
208,738,844,903,893,537,176,318,804,970,389,727,021,936,812,678,121,183,817,
635,495,754,855,170,705,720,910,388,316,368,898,291,990,527,228,261,729,898,
917,091,644,520,144,133,429,695,668,075,662,232,364,884,465,694,428,041,517,
860,752,930,038,047,022,207,653,454,355,615,527,315,361,340,690,064,252,303,
878,176,328,438,599,912,368,826,231,389,181,235,305,575,992,518,962,149,141,
276,801,088,340,968,517,593,181,127,766,727,150,477,887,367,382,245,324,771,
450,417,805,066,374,496,862,252,101,297,680,188,694,958,463,247,794,058,904,
855,692,015,656,472,142,139,238,345,358,254,641,254,633,066,984,700,557,947,
893,361,236,732,835,458,451,584,260,414,858,181,548,380,574,988,385,485,461,
698,470,772,838,864,848,866,404,528,068,307,773,172,273,602,043,525,426,921,
257,456,665,463,402,305,052,515,869,120,904,550,330,957,300,570,856,426,330,
064,875,094,014,854,103,094,884,618,343,971,452,421,068,314,762,962,387,680,
686,507,455,648,302,640,165,492,173,384,428,551,842,277,118,830,462,693,874,
314,211,065,749,447,983,719,655,399,779,350,942,621,270,796,393,776,730,402,
978,718,376,973,581,378,460,074,218,658,132,828,705,393,007,258,129,930,648,
667,499,559,932,059,484,328,171,390,856,901,773,584,690,472,070,780,038,411,
649,289,236,902,090,315,457,749,700,007,300,589,167,550,759,849,053,695,822,
456,770,725,061,830,107,603,487,145,171,491,462,272,228,625,098,444,643,554,
772,054,401,181,630,935,669,634,130,744,778,195,963,591,734,255,852,661,170,
382,022,365,834,118,604,557,749,037,170,258,042,833,609,470,034,421,724,692,
199,143,583,539,267,183,535,754,603,246,084,168,098,011,521,832,542,525,374,
778,664,039,680,438,400,861,205,612,628,649,192,878,546,612,023,779,398,641,
393,838,667,643,763,489,420,168,131,288,913,536,242,711,520,229,387,172,733,
152,535,255,488,827,968,926,729,779,167,305,234,351,392,536,235,871,348,231,
143,358,030,721,643,938,630,040,996,987,684,683,113,532,687,597,959,750,466,
367,038,758,423,913,413,830,291,341,635,354,887,957,509,870,900,895,298,545,
694,683,896,401,088,335,707,321,955,757,575,981,781,026,870,962,964,471,835,
311,017,082,536,378,266,522,086,253,563,107,651,959,976,354,903,346,185,126,
284,903,612,545,131,878,511,685,836,168,940,791,641,980,289,373,559,899,240,
645,960,240,538,073,060,291,280,022,029,639,947,860,647,751,785,601,039,227,
528,079,534,888,163,493,687,888,107,334,859,825,665,082,417,334,561,487,210,
514,882,660,166,835,484,090,190,567,516,830,866,481,826,764,507,149,201,433,
968,372,548,465,544,918,519,219,007,142,049,698,019,673,651,983,863,934,176,
610,163,257,483,636,776,043,719,766,863,169,970,076,348,582,688,248,574,113,
634,123,114,820,865,167,214,065,190,360,264,929,942,384,941,104,593,057,909,
611,478,401,271,287,660,328,459,575,281,052,328,207,298,047,917,353,641,388,
049,867,516,358,097,114,467,422,201,766,231,166,359,550,956,443,646,833,097,
140,347,118,268,464,716,031,806,446,259,955,107,838,066,783,594,725,835,207,
595,445,910,914,753,958,268,810,707,081,974,894,816,751,228,558,312,450,772,
038,078,370,981,135,272,130,106,864,994,029,088,582,038,650,442,051,688,169,
018,479,008,166,141,659,430,086,303,730,884,102,225,583,442,923,733,252,051,
362,932,300,033,477,408,855,099,077,485,294,917,610,291,204,993,516,518,539,
044,848,392,560,885,710,766,407,726,688,301,958,148,772,389,101,159,712,351,
088,586,722,930,719,267,846,878,162,209,948,475,888,592,009,242,655,757,369,
088,671,071,070,335,503,128,342,638,405,244,794,155,834,577,388,479,080,459,
328,055,623,150,022,337,110,382,935,393,547,336,207,411,216,555,649,069,886,
352,959,557,432,154,679,595,890,170,231,523,230,457,123,998,630,094,372,031,
897,542,819,575,177,651,089,059,234,214,562,249,186,007,111,123,580,281,489,
567,644,540,727,346,686,008,296,975,841,168,835,231,708,575,336,932,474,947,
841,481,136,977,281,626,565,731,391,827,611,589,814,431,199,777,145,162,726,
022,242,521,988,899,354,053,567,280,376,252,185,685,997,300,271,283,951,098,
456,394,199,168,597,989,596,130,989,476,937,379,684,584,853,692,961,054,298,
178,760,580,187,822,686,051,459,634,324,674,642,619,142,448,245,284,297,415,
052,312,083,892,035,481,267,082,661,138,677,195,379,536,088,384,356,474,553,
013,942,596,950,881,406,095,160,179,465,250,331,169,920,833,661,391,113,863,
234,599,206,422,799,580,731,615,016,440,080,135,588,782,407,860,813,679,634,
973,467,455,516,173,592,892,198,982,473,703,127,310,311,478,129,195,446,329,
560,393,611,542,765,732,347,671,034,274,572,179,264,040,053,160,577,279,342,
108,666,751,745,922,277,562,910,397,757,353,138,720,405,436,537,404,908,149,
428,326,949,470,467,599,366,524,403,295,236,162,396,573,891,102,455,176,004,
129,568,995,530,770,145,366,405,971,451,260,324,202,091,883,964,914,384,902,
305,583,025,980,877,083,763,158,457,039,674,021,255,119,276,557,825,171,894,
352,000,504,025,255,501,534,207,636,092,032,078,317,041,234,582,122,768,971,
176,496,109,082,546,449,084,350,078,956,821,473,848,023,065,063,705,475,213,
091,345,605,670,311,946,829,368,693,798,945,817,699,906,478,301,940,193,835,
596,833,657,828,679,484,232,985,485,720,859,391,277,966,124,865,521,641,350,
413,882,648,923,090,982,803,229,454,598,859,200,591,385,559,515,155,554,313,
427,093,757,929,969,938,716,035,339,960,559,660,363,096,759,624,221,784,416,
491,777,335,416,231,465,322,554,672,078,175,549,735,075,180,405,677,990,873,
969,319,615,137,109,020,220,536,231,822,343,446,571,021,962,579,821,015,752,
039,276,211,141,623,164,641,365,604,547,597,584,531,959,661,496,143,113,761,
859,190,724,362,813,890,296,778,030,648,407,842,034,139,388,967,296,266,802,
399,188,788,941,931,980,468,157,068,057,627,941,726,852,144,747,897,788,779,
444,155,750,958,557,903,059,368,170,312,096,044,562,428,118,523,919,143,056,
513,255,779,259,553,438,070,606,991,193,529,642,434,257,857,152,267,303,198,
038,703,656,462,667,688,747,975,143,556,214,403,327,699,527,924,892,595,711,
798,184,123,601,522,422,310,662,710,322,004,374,863,895,868,026,841,075,630,
596,339,207,311,207,859,870,072,607,265,536,114,088,436,842,960,806,472,669,
124,857,053,477,114,254,826,431,209,687,593,945,367,599,858,676,770,553,424,
669,893,056,915,414,349,952,653,684,115,726,560,144,209,591,440,624,805,121,
244,322,449,651,571,873,760,189,056,902,418,936,220,025,665,180,179,650,685,
754,979,300,492,287,770,367,188,773,673,467,128,111,063,499,266,544,807,007,
329,816,450,769,820,819,580,877,910,761,397,115,175,570,876,109,119,253,260,
108,624,199,072,622,056,679,760,799,596,232,690,758,756,659,535,247,045,737,
515,971,443,222,211,602,507,266,365,966,379,121,742,135,303,882,843,798,377,
036,857,711,430,519,896,202,620,696,627,366,245,502,238,217,820,528,662,313,
488,513,196,885,298,957,694,678,584,892,067,620,287,727,716,144,229,708,433,
073,319,910,096,555,895,468,842,824,906,840,926,322,786,775,192,210,095,833,
576,673,128,701,773,109,050,717,384,238,252,296,647,824,365,843,953,601,332,
412,941,309,277,515,933,639,735,867,340,397,392,067,887,518,476,240,143,032,
809,111,427,526,248,005,503,115,786,190,138,698,883,081,403,471,793,045,318,
948,000,045,557,071,063,755,586,317,329,142,767,376,944,861,078,005,505,443,
946,425,941,953,803,035,603,626,861,599,073,944,611,062,507,892,472,768,097,
731,545,680,905,596,481,211,923,614,710,271,148,828,921,436,558,922,656,059,
035,662,790,365,870,722,496,944,249,991,640,956,602,618,094,035,796,379,920,
325,471,169,659,383,387,395,249,712,609,807,552,493,492,650,997,637,670,723,
209,920,182,742,625,962,282,796,990,278,092,063,326,961,810,463,239,685,737,
906,982,755,224,262,630,680,878,049,358,066,258,087,149,341,573,526,771,000,
819,095,505,890,645,506,907,167,085,294,974,242,396,701,986,957,634,280,544,
191,205,772,909,702,059,458,349,634,626,219,103,196,383,244,534,400,028,843,
577,693,263,748,208,942,832,304,644,228,693,064,531,343,728,388,860,381,049,
442,505,866,321,433,626,002,599,685,190,087,118,676,016,587,016,161,774,631,
260,257,514,124,782,984,111,479,274,566,705,768,230,070,127,633,198,016,387,
220,080,083,143,184,823,500,111,664,029,287,773,663,925,613,829,100,036,031,
186,155,638,193,405,007,093,403,273,832,338,140,980,990,563,381,520,909,671,
924,460,261,528,438,455,700,420,510,906,399,680,768,771,729,836,481,649,205,
923,883,969,912,141,731,139,324,066,728,214,133,321,581,743,129,615,980,688,
107,368,514,144,003,219,422,458,119,519,471,277,967,499,021,432,696,441,268,
649,720,461,673,070,562,473,728,482,505,278,916,143,539,131,234,100,235,603,
491,112,268,163,764,486,191,394,428,570,256,717,384,971,267,624,051,684,188,
614,597,817,040,533,307,146,494,024,820,378,780,689,950,158,610,263,222,807,
931,410,089,318,353,513,162,826,930,406,037,619,263,899,433,934,605,467,807,
896,171,944,498,696,241,360,000,331,648,638,607,122,693,651,888,194,310,672,
520,888,724,657,430,022,100,436,002,779,623,689,965,336,899,456,231,364,600,
349,671,336,988,343,586,376,051,183,623,618,470,249,407,557,239,651,716,076,
155,190,410,385,275,370,843,182,741,618,279,042,472,113,750,459,887,154,510,
126,591,444,500,777,746,243,791,336,864,262,733,922,421,197,396,357,561,501,
052,277,909,858,164,796,365,772,070,803,012,396,964,855,161,019,627,059,879,
462,912,201,800,631,632,959,548,403,133,012,546,331,988,538,707,349,433,216,
183,934,328,577,893,089,796,026,322,973,909,877,689,769,428,911,495,229,239,
602,210,183,110,003,679,216,232,162,437,629,397,429,034,160,496,062,632,545,
861,623,110,844,522,129,411,407,068,520,214,357,465,176,672,771,718,686,881,
717,746,224,776,675,610,167,031,293,028,956,280,506,044,769,943,444,225,546,
666,549,731,628,720,919,871,545,758,752,189,863,425,299,004,790,638,080,880,
749,935,434,215,370,609,354,778,802,228,576,222,985,720,411,163,745,610,246,
552,233,859,691,539,443,974,130,099,628,743,806,262,480,737,440,320,157,176,
866,189,752,519,774,447,942,708,926,181,654,544,142,519,080,551,557,316,639,
214,339,368,224,934,748,065,057,080,567,324,136,907,710,108,967,804,435,919,
366,360,089,156,789,641,391,531,603,165,674,361,849,543,211,058,940,488,956,
147,308,987,178,347,115,101,246,114,134,529,678,547,813,449,029,040,435,958,
677,593,055,234,658,455,938,782,857,227,964,208,509,954,726,750,969,944,440,
612,780,849,572,288,254,537,652,348,003,775,014,661,603,027,315,674,106,870,
096,022,477,982,743,377,288,245,837,347,783,401,601,288,021,029,078,229,202,
366,141,277,905,482,928,771,214,743,307,976,868,916,004,418,491,486,418,778,
831,894,977,123,089,853,501,820,533,309,222,338,289,850,021,246,632,880,534,
258,309,172,200,036,507,036,447,480,719,492,167,930,124,003,473,831,136,943,
464,227,694,632,817,086,054,526,143,482,064,010,197,128,508,940,000,253,770,
873,741,569,043,118,305,655,109,231,657,479,746,864,443,445,681,378,791,259,
647,662,604,922,496,430,366,859,695,312,170,456,958,512,810,882,768,217,352,
404,399,634,602,837,323,697,203,817,476,149,264,422,099,104,730,493,861,009,
078,173,632,554,731,334,420,073,899,371,774,508,517,289,900,613,994,355,013,
275,829,364,823,740,648,543,012,303,148,322,710,431,386,744,411,988,452,276,
059,176,202,747,140,098,524,887,842,166,612,027,722,608,879,661,013,540,294,
400,122,860,430,983,601,113,546,003,506,174,551,946,796,418,034,625,400,318,
531,276,816,525,374,401,123,168,190,087,099,021,814,575,489,855,465,940,094,
955,205,344,031,674,521,936,544,623,698,102,275,269,343,134,223,716,595,773,
791,249,854,506,122,221,990,497,628,489,244,175,864,084,558,360,739,904,683,
236,644,344,507,015,093,726,267,855,100,743,643,213,259,372,742,109,071,111,
057,827,568,884,197,905,653,520,861,739,604,382,952,363,207,062,566,390,101,
156,143,880,380,074,803,601,018,123,849,843,884,452,827,504,165,329,647,280,
137,906,386,955,367,276,457,352,929,110,403,532,569,551,044,483,752,117,870,
276,209,935,149,725,274,790,386,223,747,069,467,010,096,875,804,831,416,945,
835,072,145,949,145,270,638,656,981,564,378,880,563,047,001,308,790,290,974,
987,758,728,010,118,945,204,131,347,877,696,074,096,502,946,760,891,852,999,
503,113,894,991,580,395,476,253,382,302,318,493,213,019,441,694,474,137,642,
640,230,588,419,626,188,084,838,612,672,028,794,529,044,509,456,381,374,385,
277,888,801,462,957,508,892,826,233,655,873,781,578,692,129,995,895,978,168,
697,512,523,271,211,615,616,110,969,515,640,279,671,443,457,889,201,267,969,
025,961,002,236,880,561,421,738,545,482,658,013,374,456,829,044,187,936,284,
728,160,677,237,862,026,132,242,161,495,770,404,433,338,038,261,279,145,982,
279,067,820,269,612,850,477,075,147,776,499,993,248,790,720,079,914,410,686,
231,604,048,497,034,220,006,983,112,391,301,681,266,308,313,080,798,940,984,
657,884,079,577,189,942,593,660,198,700,852,527,708,646,383,856,787,932,730,
487,568,784,107,673,304,601,199,597,526,261,173,202,413,756,936,374,370,864,
576,829,595,184,063,330,355,485,454,623,508,547,267,450,334,735,378,222,677,
680,739,247,754,445,069,456,101,766,658,055,092,966,822,690,767,535,581,430,
764,031,266,635,337,352,101,276,199,053,021,645,186,147,727,548,110,395,833,
759,953,863,590,875,905,968,157,654,222,714,715,305,746,988,917,770,521,532,
720,957,998,783,964,604,465,049,039,509,638,080,283,876,403,901,717,660,297,
478,924,201,361,358,276,640,578,378,061,552,140,290,868,912,620,868,159,923,
856,339,685,509,558,899,952,366,445,290,520,806,571,733,776,930,831,071,537,
875,627,243,599,344,715,767,019,235,261,225,264,705,596,845,454,788,975,888,
751,253,016,011,070,588,523,042,647,762,660,922,263,069,777,615,336,456,678,
146,888,188,997,633,011,332,610,409,414,819,369,629,854,804,432,205,392,532,
200,748,100,737,857,967,227,637,242,811,664,312,523,012,825,537,628,933,781,
438,828,528,773,546,187,187,203,940,394,120,800,763,195,781,593,091,032,778,
425,117,558,605,842,852,729,805,611,011,414,130,310,919,682,189,806,537,461,
915,037,882,794,657,514,186,736,964,198,775,774,551,743,278,625,064,338,575,
477,561,906,315,614,208,703,278,327,701,823,198,396,710,802,943,262,488,975,
934,184,446,383,257,469,850,543,377,024,702,186,863,888,830,431,803,512,597,
702,992,576,670,306,380,521,482,076,800,679,455,066,205,906,646,349,649,381,
409,720,753,514,539,164,665,052,206,131,822,399,997,429,930,627,204,185,159,
050,769,705,971,930,417,346,150,966,534,449,193,786,963,753,449,606,016,649,
538,029,336,121,782,150,824,468,782,952,624,678,034,780,961,342,380,755,499,
904,253,646,602,085,223,754,766,480,538,067,065,356,692,805,644,811,022,611,
839,786,577,589,947,604,415,590,019,765,882,376,949,375,794,589,817,719,191,
451,918,434,638,806,888,031,702,293,515,151,798,603,377,008,159,553,236,327,
226,263,585,818,790,597,223,286,008,399,780,917,480,442,013,184,516,586,395,
145,221,588,226,932,134,700,958,161,657,376,331,126,107,100,477,686,800,487,
516,339,303,605,990,130,198,732,683,982,893,222,997,120,614,758,111,784,927,
557,816,695,568,720,428,720,723,163,252,830,097,796,418,094,083,707,987,754,
627,613,355,544,525,424,064,313,007,758,623,262,180,260,256,100,294,054,012,
021,204,754,843,516,421,878,755,747,747,196,286,888,813,494,822,466,579,919,
474,298,026,976,031,509,924,157,244,509,822,340,266,534,697,236,861,967,713,
131,148,224,402,034,235,966,069,956,093,891,845,837,098,414,974,011,214,247,
159,174,514,524,790,367,111,345,517,519,072,042,603,263,100,319,228,256,858,
403,886,161,531,430,862,769,120,138,147,030,884,526,558,656,582,544,697,422,
971,489,765,852,300,664,004,484,010,832,009,894,639,927,325,068,433,807,533,
357,302,390,263,798,089,201,565,391,336,621,043,611,304,545,007,839,277,053,
775,730,978,459,017,495,617,570,564,330,760,894,543,702,074,110,856,176,330,
144,117,535,033,614,143,347,085,298,660,703,903,066,291,121,978,058,978,999,
655,095,398,064,113,181,839,264,824,615,179,298,838,024,437,392,016,697,120,
182,765,857,036,268,787,882,199,102,750,738,405,308,733,942,626,559,473,104,
673,302,706,037,546,520,881,903,720,281,393,803,695,157,583,416,750,007,507,
746,304,891,619,885,281,332,330,441,545,892,751,752,590,273,752,105,369,675,
862,433,413,276,206,271,603,363,494,734,781,298,964,456,111,445,189,935,533,
978,283,057,712,311,326,292,585,629,441,148,163,334,659,723,157,821,349,661,
438,833,394,194,443,644,750,303,216,062,451,666,864,971,627,283,015,076,116,
359,602,806,683,930,157,900,859,720,918,980,687,392,190,005,154,833,751,084,
392,458,666,403,809,628,040,559,120,117,130,358,840,930,346,463,597,046,082,
025,844,991,847,738,405,862,016,407,704,917,290,550,862,174,993,917,504,137,
166,898,906,420,585,609,946,071,638,279,674,735,477,476,690,828,086,358,411,
560,212,327,366,757,396,290,832,027,206,799,965,494,375,109,211,126,161,400,
424,830,582,243,542,613,420,723,955,352,153,286,336,946,665,663,288,026,802,
471,170,885,482,570,652,971,117,621,128,356,732,163,266,906,656,872,441,856,
871,622,456,821,797,699,802,441,307,485,507,093,300,013,281,320,636,629,662,
513,243,180,523,454,981,497,192,365,705,473,292,528,672,367,577,892,860,315,
831,081,712,862,854,001,034,122,489,202,566,092,985,022,926,447,888,125,902,
143,655,476,128,211,312,889,646,147,575,943,428,418,498,535,731,071,213,191,
941,944,593,654,845,984,724,406,685,446,223,305,475,416,131,887,447,177,795,
920,630,577,846,116,594,507,960,545,006,523,738,670,088,074,002,213,358,538,
335,226,346,645,868,501,911,261,898,413,605,766,454,057,068,799,467,820,639,
265,671,665,079,351,687,668,094,505,644,396,876,653,584,821,994,901,777,619,
797,480,807,066,080,417,971,278,021,113,432,835,558,615,515,200,918,580,385,
617,120,360,401,740,083,374,412,523,749,350,451,992,283,773,807,820,803,020,
307,339,125,146,671,579,506,642,488,074,273,451,725,350,625,742,150,263,115,
188,590,056,216,653,658,130,217,741,106,611,260,864,088,625,830,125,644,196,
865,792,180,018,506,836,292,222,302,372,335,186,139,076,712,227,066,063,169,
267,075,635,943,889,424,212,672,721,461,674,075,166,365,992,835,676,055,374,
556,770,212,143,458,037,448,381,106,312,745,258,073,399,955,243,741,694,736,
563,705,895,389,196,915,027,714,944,505,263,892,970,694,500,892,841,963,009,
541,263,832,812,384,528,751,090,962,969,372,172,145,850,140,272,798,491,583,
575,390,850,719,553,544,451,519,302,624,412,712,285,014,604,876,871,797,398,
494,191,292,762,981,779,228,159,408,952,463,839,531,421,304,609,724,002,389,
380,173,619,999,742,956,641,414,875,852,072,455,969,354,377,427,231,845,002,
292,201,819,222,726,551,525,144,107,436,067,473,807,409,630,569,126,496,909,
835,368,536,850,417,241,445,247,812,830,985,525,796,662,773,962,247,026,432,
014,981,486,454,888,894,783,308,432,855,624,280,968,730,799,413,562,476,690,
786,600,776,164,244,119,049,640,861,304,628,337,185,170,599,155,467,780,818,
179,623,065,949,452,042,350,635,848,199,071,574,530,173,607,999,259,733,190,
864,395,397,184,919,986,876,319,150,649,762,437,543,223,202,631,551,246,455,
947,724,019,734,084,620,609,667,942,819,230,030,577,246,506,183,098,853,941,
392,032,293,267,716,785,099,879,204,676,262,147,045,695,624,801,761,834,233,
294,289,732,813,554,917,990,788,736,418,831,096,259,528,834,195,839,290,620,
563,341,797,649,543,832,663,735,980,250,750,324,841,327,323,588,551,893,760,
426,810,017,857,610,120,446,530,380,024,234,896,155,621,360,342,621,371,752,
249,316,909,239,700,649,524,839,872,369,387,657,808,448,373,318,088,488,907,
407,252,452,866,605,215,928,355,949,719,486,542,399,501,252,182,521,682,297,
542,896,020,972,700,495,828,340,389,942,745,258,202,193,416,575,722,324,434,
557,867,194,719,532,658,125,217,037,466,710,946,474,975,922,746,192,554,590,
936,686,125,702,122,495,060,651,956,937,378,590,172,775,695,238,214,748,551,
722,940,110,863,668,991,212,820,888,166,085,444,724,812,826,287,051,786,760,
485,307,146,043,278,491,682,612,550,336,370,390,899,613,689,244,282,012,165,
539,029,399,356,375,260,512,839,723,831,370,386,575,103,035,809,884,507,081,
175,882,910,955,319,555,358,133,911,042,822,593,344,176,098,150,786,617,627,
704,518,510,954,129,843,298,671,748,087,557,569,028,635,788,484,279,848,034,
176,661,529,079,845,682,891,376,616,099,946,191,907,184,356,613,934,677,124,
447,230,014,053,495,541,609,975,746,159,011,276,040,462,179,106,661,525,988,
602,172,382,456,396,564,857,512,033,856,277,115,027,924,060,221,083,363,601,
298,805,919,401,959,719,760,286,593,718,274,122,939,882,705,911,530,847,761,
298,829,680,018,875,523,495,808,515,606,633,682,202,315,856,651,147,674,378,
185,381,987,192,910,985,209,479,034,288,712,679,528,605,777,146,954,696,989,
321,310,606,475,345,041,931,996,736,709,601,213,505,112,061,265,761,410,762,
634,632,635,018,367,483,994,226,175,801,508,526,271,317,094,165,795,002,216,
074,533,212,576,456,373,908,558,654,020,019,873,760,683,128,006,817,069,469,
766,044,169,292,217,742,452,053,920,423,448,697,801,924,802,470,965,394,488,
126,128,512,652,851,746,747,134,980,873,295,248,823,481,376,073,542,656,896,
766,506,104,674,662,386,105,581,591,772,881,656,101,627,651,157,024,566,729,
802,381,139,194,289,227,318,783,945,524,883,130,490,222,881,776,905,333,243,
373,812,809,683,088,167,592,405,316,247,244,453,296,103,114,244,535,384,242,
208,083,876,152,071,604,214,816,858,645,856,073,344,727,091,028,576,187,827,
918,297,267,256,472,285,842,181,123,874,361,978,743,905,851,852,228,657,301,
633,934,226,196,065,780,874,683,074,263,372,468,308,208,149,252,259,844,051,
457,298,207,694,293,052,453,362,938,409,445,144,257,400,462,597,934,564,781,
224,770,795,257,185,577,052,746,745,901,586,147,695,981,893,643,819,668,275,
782,620,855,071,752,350,139,026,931,482,819,794,701,690,903,906,451,924,904,
576,312,191,462,062,927,763,485,136,992,518,509,245,276,083,947,607,223,148,
007,842,634,518,926,343,379,577,270,380,919,324,342,650,871,020,871,026,892,
108,812,354,862,172,552,848,258,469,639,329,317,303,902,623,772,847,115,311,
098,016,079,271,699,169,982,019,519,582,533,590,321,928,639,011,426,299,433,
777,239,530,156,689,247,659,558,701,411,736,853,893,435,058,943,759,806,025,
530,200,250,846,334,944,012,848,177,225,502,865,521,843,177,746,334,518,335,
128,578,442,384,890,014,908,017,128,168,813,550,935,286,004,967,066,727,933,
206,996,628,298,961,320,816,529,559,676,884,004,261,933,077,371,390,941,683,
319,651,499,429,939,805,089,485,733,640,284,407,788,394,830,701,152,680,496,
175,251,121,822,078,444,887,395,624,477,480,894,684,858,345,731,872,555,679,
135,928,871,723,147,381,243,348,122,305,646,272,387,875,262,520,521,416,222,
310,084,152,993,814,137,089,744,357,495,322,343,136,194,133,821,716,937,736,
287,615,788,688,802,577,195,608,845,973,224,150,424,459,103,909,599,186,705,
176,146,392,602,162,688,777,140,705,068,788,569,677,092,555,223,486,043,401,
568,893,181,448,860,946,019,345,472,374,207,180,612,394,206,312,719,508,434,
239,399,124,572,774,922,432,618,135,182,014,299,200,742,247,545,694,857,917,
800,386,673,554,968,650,507,364,581,313,338,729,248,401,671,570,408,279,630,
774,231,904,349,577,729,714,854,768,613,186,939,113,671,931,925,116,695,168,
751,066,732,240,593,940,590,839,667,468,713,487,907,270,732,855,509,807,732,
556,571,002,128,291,688,762,754,327,700,873,807,152,155,043,160,686,705,365,
454,162,656,007,276,342,691,791,041,593,597,393,512,206,990,771,533,936,810,
133,867,706,440,580,559,221,286,188,365,572,184,774,565,232,402,215,632,533,
422,679,538,466,716,164,004,377,050,748,043,446,407,226,846,558,475,082,079,
547,333,554,600,720,219,566,462,051,700,859,295,105,823,153,388,667,802,055,
842,611,180,422,069,304,712,500,936,626,482,529,772,740,453,186,881,803,042,
546,384,165,847,876,133,006,996,431,577,498,694,020,007,632,595,890,755,337,
592,379,517,504,734,879,196,850,628,260,976,922,782,689,971,479,948,385,843,
114,915,661,244,407,732,063,935,793,032,897,938,331,986,613,099,877,871,247,
965,126,305,818,407,136,906,642,928,627,017,511,649,301,134,770,896,308,059,
404,606,705,645,176,304,191,431,379,200,057,452,316,069,086,379,213,593,416,
626,640,576,630,397,861,596,000,968,673,918,106,639,053,098,363,401,592,504,
813,504,519,641,764,525,337,044,220,594,760,323,645,787,072,845,025,894,956,
378,512,921,541,130,150,700,425,650,224,121,328,129,124,874,760,284,135,073,
933,082,691,755,081,588,580,933,946,828,225,383,632,002,450,890,176,096,722,
986,049,110,442,091,184,293,046,713,442,551,454,331,041,232,418,925,643,112,
666,141,095,512,463,245,381,432,531,916,259,014,640,770,859,072,796,814,149,
323,037,618,654,228,895,615,226,279,364,719,722,002,708,940,656,597,989,710,
360,867,069,402,737,772,241,803,048,378,899,168,210,767,766,483,261,348,327,
418,972,177,571,213,233,908,403,450,368,461,651,548,599,547,522,535,473,359,
254,103,128,216,771,078,820,788,700,445,391,022,535,742,525,613,336,639,657,
212,391,631,461,093,550,840,808,762,319,025,925,581,587,630,954,990,704,154,
587,968,334,776,415,196,940,055,569,329,685,552,308,158,600,295,302,756,559,
844,845,167,291,505,798,456,662,727,894,072,810,686,768,094,375,626,705,203,
717,047,751,688,766,797,388,725,326,040,478,404,727,992,359,932,634,664,681,
393,661,032,278,117,669,095,277,068,464,532,196,467,182,153,171,928,813,459,
156,347,373,830,960,260,310,382,385,907,083,558,271,887,845,350,289,983,685,
083,686,421,186,969,281,228,812,149,630,809,283,652,245,198,152,353,391,245,
202,554,984,500,922,000,645,076,518,749,841,154,162,803,579,812,560,256,337,
151,754,555,453,623,695,587,058,413,996,081,483,319,083,393,861,447,388,896,
832,276,709,236,106,800,377,840,809,221,100,125,453,293,165,538,644,346,014,
116,531,494,521,029,596,567,359,950,831,545,731,528,103,192,693,535,330,454,
304,524,176,317,095,188,714,000,118,620,293,361,931,664,329,392,102,809,716,
375,889,724,721,343,189,537,944,542,786,973,058,786,662,960,845,034,673,296,
717,335,059,765,876,602,658,693,460,917,516,389,332,337,298,273,889,266,968,
644,945,740,318,738,830,755,821,691,744,664,694,167,606,293,224,600,536,098,
581,110,053,699,422,692,256,549,201,595,935,641,443,642,593,238,946,307,332,
357,230,600,591,941,244,909,204,549,107,816,854,787,884,915,627,252,597,233,
768,096,187,545,276,083,343,394,023,500,674,269,957,700,023,863,955,845,611,
252,536,031,363,538,405,482,619,786,171,531,467,124,509,609,522,574,495,215,
760,022,132,318,034,298,134,018,612,571,962,530,527,142,903,802,175,980,013,
392,406,638,215,324,821,140,302,086,636,698,775,186,533,639,259,990,752,425,
099,694,690,783,959,340,540,428,437,396,354,491,199,142,747,086,207,684,559,
435,895,792,517,697,772,160,799,651,934,986,693,924,806,275,285,085,420,864,
938,660,725,791,377,747,165,305,956,111,585,670,952,164,352,302,102,496,038,
245,496,970,805,623,956,489,980,488,574,076,832,534,156,248,253,767,827,258,
021,080,659,500,559,690,379,318,360,818,266,479,689,575,416,213,701,919,207,
934,445,445,017,013,237,204,020,574,013,082,547,646,014,644,146,533,129,871,
530,552,045,776,174,802,007,910,839,964,446,751,741,275,105,157,066,806,358,
604,947,267,201,995,864,354,229,297,581,624,200,478,579,419,767,624,638,973,
572,717,783,086,093,672,043,125,909,172,920,359,241,401,518,197,601,049,205,
530,680,899,042,457,569,993,592,834,630,115,918,063,595,547,435,146,260,281,
359,040,227,197,682,033,179,605,852,829,526,441,422,215,226,320,488,042,892,
426,414,159,230,661,931,511,899,563,399,592,287,529,818,461,053,382,197,615,
473,710,661,664,809,840,015,162,861,472,055,718,590,439,089,557,912,545,936,
142,307,908,655,633,008,373,385,288,826,855,601,801,770,079,718,996,153,610,
022,420,458,372,127,110,323,383,549,353,503,175,570,848,204,623,281,366,065,
780,748,500,012,241,168,649,356,586,950,964,223,324,236,928,372,486,359,232,
692,501,562,544,441,486,441,501,191,990,389,930,208,160,744,701,783,686,704,
672,597,189,938,370,679,503,950,857,281,834,999,808,553,892,927,253,054,059,
361,397,681,974,169,507,190,520,301,094,785,898,201,575,019,730,526,965,637,
339,756,188,939,091,274,015,005,860,360,051,149,862,495,573,450,202,488,491,
316,466,016,169,839,446,700,267,184,218,471,415,836,769,610,796,015,824,536,
241,829,703,771,101,893,035,568,786,062,887,088,685,364,825,430,557,865,673,
786,548,883,452,574,619,122,668,656,308,978,416,601,205,906,745,833,113,237,
534,314,669,966,313,541,901,155,536,329,197,041,255,048,988,337,699,580,054,
434,129,408,950,514,140,923,957,085,752,858,570,422,865,047,988,970,772,260,
899,799,208,997,555,784,378,812,438,098,806,187,954,148,301,820,190,294,183,
755,472,189,904,752,618,719,398,567,061,113,362,586,226,361,335,287,039,261,
169,733,635,755,676,079,384,603,478,760,412,609,730,928,387,559,170,662,597,
758,405,798,627,998,052,374,630,871,164,130,734,898,407,757,154,389,331,402,
972,662,607,544,543,308,113,278,002,559,429,544,560,870,123,087,165,912,814,
645,417,584,806,779,750,699,104,761,557,579,903,498,338,268,997,468,617,055,
593,597,307,129,055,848,505,057,330,830,509,446,042,168,098,438,144,215,931,
785,542,749,867,389,101,545,348,188,741,918,039,494,828,654,016,673,826,067,
958,550,923,177,062,858,821,718,825,955,054,795,310,546,517,202,153,952,062,
039,108,608,429,087,228,839,046,981,715,853,719,020,419,511,055,452,492,356,
309,565,195,721,644,858,477,726,074,119,312,848,998,098,158,032,444,683,887,
211,964,216,511,724,865,576,291,355,524,276,151,985,174,390,327,472,589,954,
117,441,483,180,583,273,741,714,562,094,512,167,574,866,056,024,263,040,529,
390,567,753,023,002,446,465,034,067,379,084,447,794,720,232,146,115,282,401,
869,122,497,490,711,881,925,944,275,651,760,844,983,895,756,723,524,629,608,
266,652,504,813,365,077,048,760,042,310,079,272,565,325,346,495,969,419,817,
539,947,303,239,620,023,750,107,852,134,677,711,504,336,784,009,741,398,249,
550,207,434,130,583,546,262,926,251,212,415,041,864,734,883,431,797,025,276,
448,547,828,940,559,346,798,640,906,547,623,080,626,747,636,840,988,659,586,
964,429,885,626,279,349,422,837,570,213,391,578,824,697,373,547,966,149,283,
419,510,771,645,564,871,279,747,253,930,063,021,590,912,154,455,046,941,841,
901,142,539,750,007,650,541,236,570,337,197,785,872,950,101,328,679,854,401,
956,589,791,782,053,634,120,955,881,039,404,766,056,873,730,155,829,172,604,
764,787,264,377,930,906,669,205,348,033,659,257,320,338,981,367,370,318,532,
059,045,718,735,973,339,278,471,844,056,037,121,740,155,879,579,981,851,779,
514,090,252,099,504,397,380,243,949,870,076,211,276,437,041,372,222,115,589,
120,129,258,717,886,064,257,602,374,339,981,765,337,357,476,469,668,961,550,
532,769,652,897,664,097,470,678,827,105,067,128,387,237,319,815,701,689,077,
988,760,348,685,930,038,706,986,045,005,059,852,251,577,248,105,465,583,787,
359,736,922,818,659,821,223,247,627,557,448,989,715,215,768,218,429,653,629,
076,867,084,843,770,676,987,244,921,598,284,887,650,330,251,545,856,286,735,
592,453,150,559,285,493,017,533,786,203,936,907,404,592,381,774,751,484,284,
527,152,460,339,075,977,250,002,249,683,841,173,324,690,261,456,823,109,450,
078,061,909,104,571,749,751,348,181,446,125,532,358,249,750,579,252,916,883,
449,509,967,035,807,655,904,839,844,928,364,579,371,171,454,336,157,634,451,
774,266,308,266,536,464,827,223,338,232,103,195,753,241,672,171,568,931,896,
122,547,309,387,073,544,891,283,539,084,423,303,327,983,768,402,199,648,257,
748,535,064,722,947,632,480,908,147,031,125,117,835,139,769,379,637,587,361,
904,919,797,094,168,111,826,155,617,255,466,781,361,662,194,338,548,255,453,
009,726,712,037,369,251,835,352,878,275,641,014,191,528,919,276,521,044,502,
212,598,143,739,759,116,758,717,468,516,752,726,529,746,826,652,058,584,144,
735,590,829,601,546,637,604,781,528,695,314,375,898,805,765,843,622,991,710,
958,769,555,148,067,252,915,350,923,809,075,362,852,046,810,973,331,451,524,
765,235,119,773,526,493,730,652,761,376,204,330,511,681,821,799,434,001,731,
253,549,273,443,732,372,142,571,001,200,501,453,269,258,443,814,278,983,319,
629,432,629,514,805,395,584,975,664,392,596,748,971,890,462,451,258,765,666,
028,811,117,316,939,780,091,047,273,460,251,160,591,741,489,004,452,575,332,
208,383,121,014,856,442,516,286,179,597,801,567,829,341,469,498,506,120,046,
149,846,459,318,862,496,734,835,917,021,365,830,920,712,085,567,562,979,662,
761,471,017,907,078,395,260,009,327,894,980,478,118,983,224,975,769,656,835,
196,346,372,995,186,998,790,808,295,493,334,815,307,665,013,671,928,537,400,
384,676,384,734,796,023,481,562,566,012,848,972,667,608,608,284,693,288,389,
998,295,176,196,292,875,314,164,699,831,293,564,383,669,351,525,213,215,163,
428,816,855,544,655,204,905,536,921,966,603,255,622,873,573,211,481,737,829,
960,714,776,724,068,256,317,076,097,290,523,064,538,620,482,294,755,121,637,
533,168,339,219,566,475,782,169,970,941,929,376,557,140,458,471,373,804,566,
278,452,186,373,455,928,622,027,375,583,042,802,670,367,860,810,661,652,428,
675,451,526,651,555,543,728,640,919,154,264,127,979,408,122,015,271,268,247,
693,747,471,281,034,835,075,730,563,367,370,041,471,816,140,309,407,483,411,
241,070,650,671,700,394,256,806,333,429,829,137,533,709,032,498,509,206,365,
473,411,628,019,242,966,171,377,526,458,013,458,652,132,503,116,923,478,462,
182,046,623,821,950,998,186,236,666,372,695,023,502,486,898,574,114,454,087,
531,876,658,858,404,930,213,280,445,487,346,630,048,934,355,703,222,194,779,
880,102,438,479,709,081,267,178,058,231,856,903,578,701,649,428,253,792,978,
529,689,566,730,260,626,897,810,418,626,941,465,171,549,148,023,110,803,220,
992,771,613,245,902,377,142,807,849,269,224,941,453,620,125,215,444,505,109,
582,256,643,986,062,077,413,283,539,185,322,898,034,844,219,890,998,621,509,
666,465,514,748,993,321,144,301,852,655,177,998,484,664,267,316,927,149,195,
324,489,833,096,526,102,984,348,265,011,604,469,724,659,296,752,121,716,074,
452,602,957,071,649,885,387,634,714,858,776,980,263,199,963,387,143,767,183,
264,124,646,626,932,594,967,998,887,911,718,414,473,450,054,680,602,109,843,
331,174,285,545,990,675,403,045,768,519,015,713,955,108,177,270,011,020,818,
794,214,243,459,988,817,289,853,966,374,057,915,166,095,680,237,704,476,694,
431,942,932,027,667,566,341,782,443,424,653,349,551,790,483,798,836,089,216,
852,891,229,985,070,578,329,824,395,222,560,421,782,791,780,800,203,050,234,
400,506,569,121,925,730,416,192,247,021,851,566,747,149,426,587,443,955,086,
353,353,132,161,647,793,489,790,781,342,888,704,665,090,968,853,259,225,205,
052,517,109,169,204,218,540,264,923,909,389,730,554,397,438,619,937,579,186,
830,222,742,748,922,045,087,466,043,033,765,637,610,354,839,324,283,609,067,
458,311,614,010,910,955,574,230,812,112,596,725,355,595,284,246,604,627,459,
683,072,208,523,506,291,094,698,741,384,416,852,459,445,789,091,283,026,330,
479,787,859,996,728,442,949,939,749,661,265,137,131,923,425,164,919,952,607,
253,183,912,423,693,805,324,402,312,358,621,096,810,730,134,114,813,691,933,
567,153,629,159,487,659,537,424,702,059,823,985,877,072,634,882,711,405,371,
699,373,316,345,093,521,658,852,732,166,997,810,951,214,669,856,744,175,761,
326,509,805,724,587,083,287,191,335,002,492,946,020,328,049,003,785,717,884,
289,653,884,696,001,046,035,736,527,851,090,459,310,037,655,721,517,510,597,
357,963,207,402,492,548,146,470,923,945,808,657,062,755,231,879,629,940,549,
624,211,154,377,703,094,907,753,671,190,769,909,134,291,030,726,873,123,535,
482,542,036,899,251,730,887,576,042,963,857,674,455,984,543,221,994,091,201,
494,253,252,092,782,389,476,467,394,836,196,003,478,719,158,883,083,253,401,
869,326,758,999,717,273,622,662,876,606,605,615,195,407,979,795,958,011,687,
248,438,305,845,181,794,847,835,637,709,687,034,261,666,960,869,966,755,723,
677,823,886,776,629,574,429,109,026,596,692,680,163,617,806,181,505,603,399,
908,340,505,187,875,456,607,546,425,601,717,829,279,985,275,775,131,292,983,
005,345,217,795,650,475,241,375,250,545,672,771,347,303,318,046,653,398,619,
308,753,716,132,021,744,058,913,444,908,663,952,722,586,354,615,008,274,437,
596,085,376,796,823,403,887,003,941,261,944,954,286,913,450,115,307,387,401,
821,554,040,164,776,878,663,945,965,676,875,942,000,501,426,793,528,839,156,
912,681,662,968,196,483,804,222,806,269,017,673,053,046,155,396,905,193,498,
444,586,165,641,311,528,652,606,774,158,741,573,969,725,165,954,847,732,507,
678,662,739,102,309,344,790,442,039,891,150,255,293,723,769,908,919,753,095,
144,862,842,598,240,725,072,712,090,733,909,179,628,544,209,969,657,858,262,
117,064,368,722,510,514,767,311,820,391,965,626,150,885,883,232,679,324,249,
686,076,275,907,783,871,279,266,009,387,582,442,555,901,549,656,157,062,559,
489,517,733,442,833,071,953,226,358,732,861,898,685,241,196,635,882,928,699,
625,403,849,697,038,260,017,951,824,531,564,295,490,477,469,284,801,934,979,
190,382,115,520,821,681,940,239,782,659,870,437,165,044,221,860,302,006,766,
076,967,155,881,307,463,353,271,607,200,669,136,772,811,855,176,403,446,424,
617,569,170,070,480,265,984,733,534,509,939,039,631,510,887,592,019,136,879,
521,775,072,356,823,534,885,188,920,581,514,334,186,177,034,089,890,924,281,
607,487,134,574,805,791,493,162,761,765,889,564,673,758,536,080,723,445,081,
048,371,686,859,414,064,042,093,880,493,880,296,055,761,376,682,622,110,444,
680,426,372,812,869,620,598,923,063,660,599,006,372,847,456,919,728,894,068,
175,505,914,089,535,796,722,379,341,554,003,802,197,323,571,322,413,160,404,
945,133,322,917,067,116,944,439,667,872,113,488,168,667,908,583,825,548,007,
224,324,094,618,455,155,829,120,280,246,435,286,690,722,935,662,464,470,297,
721,778,533,841,241,237,628,498,555,807,941,296,083,227,385,577,212,084,279,
911,516,328,088,923,252,444,266,504,692,210,352,526,688,265,825,865,947,194,
302,749,837,627,271,661,094,124,945,391,899,965,715,199,551,707,802,137,699,
796,613,535,492,125,556,797,259,392,387,963,605,767,219,348,385,355,357,997,
913,757,244,957,600,600,645,199,809,659,521,853,026,531,832,708,007,900,621,
749,553,290,144,753,326,052,239,414,238,111,184,080,300,693,204,136,723,597,
471,615,150,357,741,715,642,875,805,543,879,446,569,504,039,544,178,292,978,
940,088,870,251,082,443,359,586,068,862,151,405,497,315,722,486,777,638,589,
336,474,919,505,389,747,997,532,592,204,842,909,264,343,202,625,052,701,308,
726,396,319,181,364,096,079,990,495,864,355,831,864,006,740,038,561,225,466,
708,401,776,161,621,006,074,112,698,207,714,865,155,524,244,275,568,614,106,
285,938,963,905,804,050,870,593,304,186,576,395,121,763,633,247,754,680,277,
294,509,613,092,558,271,028,447,908,442,947,844,805,645,516,802,924,196,088,
467,365,316,489,098,549,682,351,045,917,316,702,630,172,014,136,424,413,333,
706,652,339,299,943,321,183,414,691,479,782,650,282,434,435,155,147,997,724,
071,983,185,255,255,272,669,955,817,545,116,894,579,306,122,437,349,100,647,
178,189,073,827,733,508,146,174,971,847,997,320,327,262,390,588,222,658,994,
022,745,001,329,173,830,617,822,636,436,773,750,939,798,693,618,390,601,187,
042,189,279,631,657,647,077,488,412,580,895,999,692,946,268,763,878,681,971,
689,259,415,996,547,761,050,632,914,716,340,179,953,920,085,775,474,872,869,
303,382,703,401,381,131,643,896,404,695,764,742,593,740,506,359,390,623,191,
765,420,290,479,800,920,760,717,278,124,266,775,229,337,561,907,837,803,806,
746,330,348,007,135,645,984,907,842,432,188,284,107,125,021,496,304,863,135,
539,087,878,141,495,847,874,713,843,482,803,754,232,841,266,203,356,144,069,
493,835,881,203,902,065,089,306,043,311,044,770,048,693,235,214,066,618,329,
583,762,461,744,871,371,389,975,434,674,329,513,019,936,041,773,355,630,566,
937,333,693,596,484,812,659,835,630,939,562,782,859,607,784,946,366,310,907,
823,738,504,282,163,542,982,922,789,070,670,960,726,267,308,374,419,137,989,
163,840,150,023,893,164,436,535,728,087,181,651,097,745,527,116,606,161,710,
457,975,998,480,055,951,710,355,968,458,266,195,940,475,718,327,360,384,030,
192,303,432,018,718,058,359,194,517,696,807,780,586,739,613,424,964,365,228,
121,488,941,454,070,598,460,083,722,610,160,742,942,882,241,259,921,912,284,
032,284,899,383,740,564,651,637,634,603,542,817,041,904,033,124,285,690,707,
951,107,040,849,624,295,548,712,879,081,839,138,971,833,049,777,626,176,480,
705,039,602,404,584,963,761,089,959,686,218,741,357,171,302,684,026,548,208,
988,329,753,162,995,677,536,008,281,004,631,288,256,953,162,391,741,547,683,
092,124,678,194,536,003,095,842,378,866,967,466,482,893,216,169,017,445,687,
494,954,494,776,260,370,822,199,774,838,323,906,228,078,541,197,180,652,897,
714,095,314,312,160,090,917,364,562,029,619,580,366,681,884,093,469,723,671,
391,512,442,047,903,262,585,195,143,612,762,810,663,626,992,587,128,482,857,
559,833,806,096,082,989,290,089,221,328,143,253,621,710,396,833,499,537,552,
558,899,061,040,103,733,489,099,453,080,376,159,877,809,854,880,886,812,241,
177,073,590,144,917,178,324,255,989,830,169,751,786,541,935,872,633,708,813,
135,699,929,439,765,805,205,757,903,256,931,978,173,285,013,164,366,133,417,
965,005,861,683,044,770,079,194,336,159,048,636,119,302,687,818,537,393,998,
573,572,623,667,543,127,195,500,723,604,207,314,959,888,386,788,652,903,220,
238,036,428,687,017,928,417,782,680,784,604,573,329,569,822,021,952,910,558,
283,058,055,836,916,097,317,585,440,179,471,849,180,892,504,628,001,697,172,
086,768,621,385,941,907,317,142,145,129,624,419,541,755,223,847,575,129,417,
470,659,865,316,883,409,598,603,897,447,970,230,877,585,504,804,576,728,690,
885,597,608,999,397,894,177,486,809,213,569,418,499,110,283,136,898,850,284,
216,671,716,479,068,948,987,306,796,592,144,762,295,293,455,784,142,016,731,
788,657,040,040,475,723,699,067,154,336,990,284,203,827,056,514,630,348,461,
564,355,407,568,294,123,627,586,158,908,849,201,488,696,412,316,581,251,481,
581,251,528,367,617,828,614,032,395,456,448,132,442,510,878,603,916,555,320,
082,485,924,002,919,545,216,778,153,481,808,759,668,255,536,203,147,334,275,
400,477,463,487,299,562,672,186,931,380,231,904,482,199,734,234,446,248,988,
104,377,923,675,144,723,966,527,703,710,552,279,740,427,239,485,704,534,100,
272,180,559,755,901,617,427,497,293,876,188,508,904,905,787,577,566,094,373,
018,249,038,713,056,900,293,278,350,683,792,470,520,279,628,775,201,016,371,
842,025,584,883,488,537,224,709,085,185,452,697,425,675,750,312,931,183,040,
979,677,347,967,649,957,203,055,191,039,619,075,996,746,231,374,183,754,942,
865,761,499,942,097,204,047,217,172,127,198,998,825,581,133,858,502,929,909,
169,850,939,570,161,018,219,039,403,702,610,655,222,854,047,075,988,361,964,
721,802,384,037,691,521,692,344,564,556,360,066,341,322,954,937,671,355,788,
930,532,086,881,494,191,020,513,991,281,102,297,703,600,846,831,903,582,477,
040,922,462,854,497,740,385,917,289,435,859,886,378,046,060,508,944,110,994,
049,368,306,791,667,634,757,616,474,732,935,048,462,654,669,556,031,912,153,
225,508,522,636,658,324,527,499,127,243,212,234,469,817,113,088,259,560,157,
075,836,957,654,893,672,138,845,964,407,674,403,780,414,208,612,920,912,972,
021,711,329,131,203,729,728,206,174,357,354,474,885,314,674,201,444,988,338,
388,607,390,116,018,643,596,008,062,806,083,581,781,290,273,405,685,227,574,
262,872,793,221,339,105,940,480,480,667,441,020,139,534,830,668,544,468,933,
160,860,370,265,613,677,282,023,248,587,332,713,927,657,871,340,272,380,514,
704,549,833,275,726,961,962,424,671,151,528,065,953,470,042,797,816,387,136,
779,379,116,249,726,819,305,584,613,000,260,142,584,562,340,626,278,789,787,
768,972,463,857,200,095,857,301,412,738,993,609,263,538,916,642,122,565,927,
077,643,402,293,320,068,657,290,717,157,690,441,152,678,917,267,593,764,948,
460,557,826,758,727,570,165,317,593,468,017,588,768,836,525,395,485,318,300,
929,674,530,719,056,558,892,766,507,330,674,897,464,831,958,314,746,331,611,
039,325,818,297,604,323,259,390,433,440,566,878,975,471,267,958,060,442,599,
761,753,483,242,561,618,894,548,511,264,910,205,237,161,493,908,220,710,694,
202,277,374,112,680,266,400,871,728,489,106,076,385,325,165,832,371,672,768,
839,728,653,738,945,886,312,096,378,433,265,277,524,472,746,174,487,595,910,
679,873,764,410,156,715,582,065,057,449,886,115,234,225,000,057,081,592,234,
566,848,436,539,908,013,493,295,577,800,706,798,967,392,664,832,636,765,533,
474,259,203,022,755,196,041,719,902,627,702,011,689,781,695,524,310,369,447,
152,640,367,241,795,820,790,030,657,593,194,249,455,199,046,987,961,317,644,
634,933,487,784,178,015,639,563,194,443,605,290,419,230,928,978,664,267,841,
576,875,097,094,584,639,464,180,241,047,385,982,850,934,535,645,806,948,643,
474,873,064,829,518,562,834,918,256,333,533,438,753,119,009,596,033,366,466,
688,343,536,337,932,731,484,631,835,480,123,799,084,821,126,046,408,982,868,
751,994,501,274,008,663,899,547,612,289,913,762,073,800,448,549,318,642,269,
000,683,522,682,139,126,272,796,512,883,431,823,564,469,990,591,155,556,575,
076,055,280,213,287,296,025,305,644,817,457,536,365,453,320,885,154,910,297,
599,392,570,670,111,756,968,138,351,689,667,663,925,545,730,323,074,978,998,
580,192,514,201,050,087,902,294,185,166,026,653,619,749,587,627,220,816,317,
243,437,927,074,163,518,216,341,394,886,605,808,772,928,847,881,178,589,380,
417,803,826,551,695,971,517,432,300,453,295,040,339,807,066,129,557,141,125,
430,361,953,722,564,272,350,391,360,777,517,626,580,043,599,807,631,738,482,
676,582,707,985,452,684,632,249,221,606,090,905,200,094,247,136,572,903,008,
101,482,652,834,949,437,911,575,850,136,639,012,744,099,199,754,053,479,481,
517,373,854,020,180,589,468,005,883,237,346,844,860,354,639,847,796,641,385,
285,347,868,792,936,743,222,841,403,467,625,050,520,251,134,051,588,157,408,
023,027,211,317,720,511,618,800,306,822,585,421,119,795,177,063,633,067,472,
094,180,046,977,358,444,087,055,137,268,538,388,941,736,278,223,167,227,449,
238,158,134,268,066,415,887,370,227,987,653,786,494,735,463,377,731,580,319,
131,707,041,272,298,912,150,025,320,929,714,487,296,325,175,601,846,022,417,
600,013,870,278,792,092,165,898,978,828,530,950,908,382,021,251,295,203,930,
105,774,921,230,418,716,393,665,805,396,029,577,037,597,202,352,799,354,694,
967,445,207,403,239,922,876,085,511,799,691,956,209,341,265,168,089,892,177,
028,932,272,673,970,351,479,357,436,952,136,728,507,350,892,159,323,904,062,
309,007,022,527,882,741,180,018,884,457,855,952,715,607,915,032,031,706,125,
119,453,665,039,592,696,902,815,688,331,221,297,540,766,130,480,616,297,330,
566,651,561,819,452,652,029,953,919,402,603,554,582,767,071,206,685,712,808,
517,794,494,104,498,127,342,236,362,278,472,849,073,570,193,304,662,581,788,
176,573,540,715,117,292,990,947,754,091,432,459,535,319,798,905,116,036,949,
865,872,605,928,334,857,072,019,440,223,433,061,707,801,597,965,965,099,576,
287,310,091,122,858,335,635,596,558,840,560,975,112,565,161,182,836,545,199,
176,711,532,276,959,560,385,032,306,745,312,111,627,822,932,318,837,150,123,
953,762,533,954,940,751,609,386,530,255,079,409,319,384,080,375,729,432,327,
557,451,922,612,065,626,721,906,471,532,637,999,958,794,612,461,722,295,121,
190,199,440,887,533,132,432,309,802,586,360,706,057,859,041,419,612,773,283,
844,971,601,037,273,176,537,271,643,408,816,580,143,640,957,006,165,884,293,
855,549,397,907,865,407,537,482,162,168,849,818,870,018,855,017,806,710,481,
705,233,076,622,291,859,157,739,232,899,786,677,102,674,689,516,320,719,824,
791,642,672,530,982,364,155,696,876,160,687,954,085,622,646,964,756,546,842,
476,677,690,138,061,161,104,972,619,773,661,254,364,725,918,197,770,309,731,
192,587,833,412,216,479,181,450,076,199,559,102,226,864,045,780,902,800,619,
754,887,721,630,453,799,187,123,149,285,667,723,136,544,691,284,165,335,231,
697,636,650,574,102,673,153,218,193,333,188,320,387,068,039,419,402,370,243,
006,192,992,535,981,709,803,829,039,924,339,031,691,840,593,361,541,292,153,
794,601,725,057,080,328,974,381,730,657,375,413,950,255,963,976,739,274,639,
568,887,096,336,344,164,383,958,013,831,459,097,226,913,911,217,249,767,170,
534,224,357,546,680,731,941,340,977,275,713,836,320,241,315,311,035,073,818,
800,237,464,328,068,027,520,391,423,950,600,671,132,781,269,609,694,845,009,
311,579,076,855,775,898,577,390,470,997,401,882,997,110,179,357,613,437,353,
526,736,590,121,804,068,349,830,687,455,126,311,395,907,903,259,249,242,614,
684,613,276,917,321,120,403,993,122,535,933,753,456,125,111,200,080,847,063,
184,348,955,805,331,306,002,364,603,153,508,228,344,652,643,628,475,404,650,
988,077,313,479,997,704,642,430,362,308,280,365,989,032,847,771,595,071,032,
859,463,356,081,337,509,749,955,180,106,917,849,972,772,965,078,122,418,903,
634,950,300,926,497,216,616,217,303,360,924,039,579,547,292,275,781,133,833,
458,394,066,366,781,245,087,816,092,167,438,024,886,892,041,394,024,391,729,
806,962,569,915,878,661,241,307,022,226,166,607,800,362,695,221,897,448,355,
958,941,440,241,313,327,257,113,038,267,763,203,606,239,154,365,616,264,402,
913,393,720,090,206,268,527,368,275,127,771,258,095,962,941,963,151,156,867,
075,050,840,972,897,805,805,219,649,584,134,297,586,822,597,040,553,109,707,
741,634,579,541,924,924,195,108,281,758,261,196,319,535,214,934,947,191,820,
778,538,995,708,016,170,684,804,467,935,738,121,388,318,365,127,091,125,831,
898,010,032,788,119,366,930,486,253,098,792,627,562,323,681,691,828,378,927,
680,240,221,942,358,437,802,122,417,130,634,037,550,641,404,387,101,456,937,
889,237,393,447,169,181,059,565,580,989,577,519,032,044,476,912,980,620,425,
676,646,178,814,602,232,636,874,858,363,414,657,943,583,261,522,538,209,528,
951,853,373,399,069,939,832,787,133,561,652,300,227,774,270,108,946,155,641,
459,066,305,027,220,104,824,208,555,774,900,652,707,007,218,763,227,548,927,
717,156,229,897,247,865,485,873,587,456,290,011,631,851,412,427,385,767,208,
679,747,444,829,428,476,621,912,299,188,251,903,704,996,960,807,983,799,636,
478,713,299,320,984,072,472,441,450,600,821,737,966,945,970,222,075,101,826,
662,433,274,129,061,020,010,245,580,460,763,594,782,739,013,976,168,287,125,
433,609,957,784,699,142,119,449,409,421,657,802,840,032,914,970,426,885,045,
849,026,792,998,118,831,014,131,293,413,317,180,683,299,234,277,417,919,852,
774,022,301,553,600,482,178,619,064,436,128,279,405,008,221,241,666,541,678,
230,668,478,318,063,974,458,686,285,956,786,634,668,333,175,669,604,117,372,
101,634,034,880,304,801,299,640,080,057,271,724,330,653,330,138,510,254,052,
703,923,138,458,979,324,244,284,695,655,119,900,656,892,888,557,181,414,760,
048,809,815,514,498,886,632,936,254,713,909,187,974,851,035,122,508,546,610,
833,130,733,655,130,023,758,463,699,590,053,153,885,945,525,794,155,195,990,
366,430,897,554,770,835,806,288,069,251,720,822,040,944,504,657,567,506,434,
682,361,611,280,690,189,748,360,591,279,374,356,067,453,567,209,628,141,278,
630,629,298,698,174,382,533,754,681,025,410,391,033,808,044,383,810,428,085,
200,029,816,688,223,586,021,713,517,195,450,717,113,796,259,926,884,720,793,
668,067,880,865,226,878,164,564,419,872,385,445,002,467,075,700,248,344,330,
692,287,924,396,257,235,062,377,227,341,206,787,631,418,670,664,858,422,403,
153,404,947,861,031,528,221,567,600,123,360,851,238,060,474,064,141,335,371,
726,980,166,589,927,098,659,246,784,655,295,663,768,525,881,982,869,084,280,
002,805,596,858,128,309,623,895,864,631,334,144,849,841,784,176,579,540,659,
147,137,795,345,040,416,550,282,063,092,604,837,317,576,674,644,822,604,630,
911,346,123,658,884,260,684,685,858,448,187,300,126,005,024,030,717,807,229,
186,297,730,702,097,722,852,240,976,022,192,667,575,855,821,496,873,569,050,
558,288,220,463,857,209,724,774,065,991,510,897,698,914,667,830,870,939,235,
456,065,499,353,498,210,698,226,879,296,878,712,518,802,400,639,275,367,328,
366,487,572,305,981,388,023,965,993,247,671,288,423,797,188,088,004,769,538,
001,990,991,862,824,814,422,478,820,385,085,953,146,833,776,521,421,041,803,
969,640,606,943,979,806,113,474,453,449,580,775,801,078,123,084,005,504,975,
238,044,141,818,539,619,534,463,667,994,575,127,302,994,870,331,914,792,970,
377,733,989,416,072,298,462,573,237,179,185,724,048,039,430,018,644,072,706,
571,784,356,154,303,450,524,109,557,763,017,045,516,311,577,007,280,325,284,
222,744,170,662,364,236,286,424,830,446,924,873,083,073,740,795,062,538,228,
305,711,546,257,465,538,616,899,319,558,603,319,506,635,644,909,297,707,269,
406,673,385,970,391,035,516,964,194,430,414,658,904,747,316,410,701,347,813,
399,288,742,806,211,177,344,389,396,050,222,668,554,712,538,856,350,442,606,
649,562,089,997,119,572,846,826,296,942,216,381,518,227,357,339,611,796,849,
833,184,328,544,573,577,112,611,083,278,418,575,713,843,612,143,972,965,928,
963,702,638,491,589,235,394,596,811,242,427,678,655,370,529,118,565,331,758,
111,243,977,990,868,798,287,495,870,275,835,849,675,343,895,261,691,775,807,
058,602,609,142,407,838,483,372,755,606,421,242,709,456,530,583,151,779,498,
236,537,726,129,517,071,827,595,924,562,874,470,014,525,712,222,563,809,253,
571,118,138,642,394,070,212,643,741,732,348,651,735,955,849,509,556,601,596,
310,746,678,663,960,792,255,980,730,914,273,977,832,763,037,395,758,451,951,
581,692,814,517,794,525,912,994,309,537,624,150,019,016,571,696,824,572,176,
301,258,846,947,936,256,931,622,363,924,950,813,401,219,470,303,965,981,451,
166,557,319,317,422,735,232,985,991,130,934,099,788,746,215,702,800,812,446,
037,717,338,296,923,384,679,434,001,754,366,950,489,634,665,985,744,808,975,
283,017,677,358,189,734,659,122,460,681,133,337,152,996,588,418,599,662,137,
380,919,159,517,488,803,788,606,625,673,362,892,916,122,033,070,389,814,287,
895,339,065,987,804,924,504,710,258,270,375,738,656,246,433,047,946,790,036,
750,099,257,238,611,009,887,369,432,905,098,151,754,591,880,799,572,575,895,
994,162,359,575,573,743,282,669,349,525,207,121,249,330,976,589,935,280,143,
216,292,682,638,955,359,365,790,462,347,874,090,592,753,478,821,271,665,647,
551,732,962,378,533,569,809,176,205,320,746,426,561,774,830,183,776,108,447,
400,365,808,405,789,015,220,478,231,976,753,206,500,920,967,390,398,651,196,
754,019,118,704,141,936,068,625,471,945,563,156,369,662,203,617,025,468,614,
283,432,921,603,068,397,560,650,691,640,389,726,084,304,405,393,584,006,496,
737,367,505,419,139,320,034,921,997,114,706,419,971,796,408,498,390,086,070,
518,174,592,000,506,388,864,972,275,096,689,235,401,892,417,668,879,627,875,
933,599,290,219,801,690,216,302,212,751,868,595,282,870,119,144,712,450,018,
968,944,247,295,295,049,627,534,076,868,253,240,748,112,347,852,759,939,957,
839,472,782,455,536,517,628,661,869,144,283,223,528,018,633,474,940,712,020,
955,042,248,373,691,874,311,544,348,605,819,486,558,876,031,868,400,797,488,
460,790,389,691,298,773,634,155,311,943,259,759,016,403,508,465,538,353,929,
519,260,396,162,851,199,043,412,259,447,005,320,391,369,573,993,295,014,319,
691,961,703,760,159,040,367,880,960,122,856,120,574,836,776,484,593,394,100,
949,176,320,068,213,059,962,573,611,881,388,417,164,225,438,775,762,466,262,
859,290,210,369,691,402,697,861,387,834,210,135,695,658,918,178,319,490,254,
771,013,269,966,820,769,776,799,302,210,101,304,110,745,188,581,516,821,160,
763,941,324,840,152,702,561,001,959,231,190,786,244,321,603,144,062,134,132,
307,942,929,618,501,188,682,018,897,029,899,062,955,769,760,326,937,914,638,
334,791,614,903,686,714,608,486,074,214,520,884,447,538,148,680,432,862,811,
806,030,642,590,576,584,614,984,294,885,779,718,004,865,355,295,074,294,929,
463,250,318,286,521,964,152,438,856,502,508,828,528,745,394,576,202,117,284,
550,014,122,407,338,453,838,130,442,767,838,917,656,713,206,524,487,681,882,
473,060,879,352,793,568,979,282,173,898,125,420,796,994,720,607,598,411,584,
933,206,221,664,146,509,603,785,153,152,593,412,578,786,192,346,265,988,117,
371,816,868,055,223,591,567,316,542,716,321,279,603,995,216,678,070,692,727,
734,482,775,533,261,584,744,898,563,414,870,216,506,457,305,148,741,138,518,
891,693,130,282,426,170,452,406,734,172,814,490,027,367,330,156,774,141,051,
247,997,747,448,885,583,891,597,959,748,463,297,704,913,345,392,779,406,629,
303,955,453,926,629,234,632,153,171,165,130,222,937,754,033,134,390,937,626,
409,821,348,755,408,733,277,128,446,366,106,451,893,340,977,347,198,654,957,
420,836,862,273,680,123,934,523,898,213,200,478,731,280,559,367,352,750,244,
255,860,144,939,748,594,416,335,002,634,035,466,627,600,823,954,866,133,289,
101,796,571,320,715,646,016,142,248,880,235,920,081,013,004,772,455,699,293,
676,926,405,039,338,263,456,683,436,084,768,704,154,627,307,889,462,507,464,
366,394,893,507,875,866,257,870,437,387,747,500,554,895,943,616,765,562,932,
626,477,095,851,233,302,235,387,032,589,401,434,249,599,252,396,631,582,909,
280,873,901,978,430,157,136,257,305,987,227,391,640,836,871,795,965,215,675,
464,340,438,047,953,654,297,838,539,558,109,006,525,043,706,831,696,490,285,
834,360,902,897,736,390,902,850,266,038,875,224,316,979,219,280,205,263,351,
988,407,515,653,730,988,581,042,427,250,272,183,217,890,542,047,110,520,415,
990,222,143,049,431,857,128,013,928,042,998,233,131,944,753,961,110,367,711,
629,816,842,327,589,836,521,616,995,158,492,096,290,794,346,462,623,579,677,
081,928,328,247,655,050,326,291,119,121,457,666,042,422,290,266,321,119,200,
362,493,116,344,449,694,589,827,667,020,009,343,941,349,448,223,043,985,407,
688,403,832,400,445,015,550,378,274,917,099,138,833,424,284,824,613,366,154,
074,492,788,841,578,973,686,129,162,192,770,281,850,240,403,015,509,426,446,
083,062,546,020,782,566,884,237,762,003,451,793,717,984,109,937,539,178,674,
572,786,017,515,754,164,102,278,446,507,159,327,673,124,145,507,829,821,708,
474,787,202,716,326,614,116,514,584,257,601,117,974,662,628,528,559,582,304,
723,686,884,778,469,099,606,472,995,907,012,323,402,857,329,318,555,278,739,
252,269,651,603,344,671,849,119,866,632,120,568,675,180,666,683,449,183,027,
938,237,485,232,233,611,507,130,191,291,335,959,730,813,400,537,851,332,759,
533,670,769,656,371,785,050,362,786,175,455,329,818,203,383,968,630,424,706,
414,299,947,314,315,775,957,251,361,341,849,437,388,339,529,886,156,084,561,
349,781,808,017,663,089,398,593,154,749,618,388,416,809,374,752,336,235,814,
529,617,857,602,934,415,280,583,289,036,261,773,468,159,760,384,564,855,324,
890,099,861,040,285,804,425,429,120,640,368,370,191,629,014,831,545,595,141,
030,261,338,918,077,820,820,065,980,003,219,174,839,846,182,914,660,221,401,
868,108,756,165,734,625,413,468,604,684,293,876,228,553,589,730,366,410,599,
344,685,035,901,175,106,339,421,673,245,576,091,126,944,689,659,984,425,536,
549,643,099,588,768,108,666,834,923,546,876,469,407,901,505,589,357,899,443,
035,284,843,476,425,926,371,786,151,443,130,274,808,290,929,898,385,155,028,
705,837,925,985,296,766,342,699,003,778,805,651,690,477,835,976,595,213,255,
119,551,308,211,262,676,755,813,346,803,700,460,803,142,547,430,283,131,409,
491,349,454,863,677,909,192,292,168,380,084,585,325,828,640,941,750,755,155,
972,743,430,012,330,275,278,638,783,890,482,633,371,325,725,758,183,015,994,
599,188,985,010,437,469,622,351,254,310,561,010,770,853,633,176,941,003,425,
251,178,005,505,746,123,179,338,379,650,597,952,418,573,097,539,476,825,750,
750,481,646,781,108,645,950,546,440,312,900,282,711,643,381,201,335,763,837,
494,645,390,944,533,292,137,199,405,647,127,808,650,051,053,390,453,951,014,
820,301,830,676,684,860,787,795,688,013,000,137,235,330,154,428,833,789,532,
881,054,315,125,021,601,234,585,684,605,673,462,547,363,339,586,460,504,766,
809,775,500,572,407,817,555,481,733,570,080,381,539,010,876,522,296,044,167,
163,723,254,446,244,148,125,672,734,599,478,282,027,826,798,164,716,893,508,
988,701,707,740,354,441,266,989,403,510,762,924,575,583,207,208,821,746,330,
694,008,480,997,870,177,835,179,382,326,421,870,857,591,089,688,520,482,469,
212,292,138,311,474,219,627,190,360,342,447,565,218,812,839,249,339,969,971,
319,437,841,484,668,865,668,708,789,005,085,797,923,994,249,612,376,186,355,
765,613,886,406,272,124,911,295,864,328,880,790,676,389,557,121,122,389,499,
377,874,083,747,708,417,600,946,127,467,946,054,220,487,827,958,948,611,658,
459,015,248,011,402,438,239,897,107,536,984,306,644,631,267,175,802,396,120,
184,129,680,487,087,754,688,187,919,811,692,135,889,123,914,875,967,127,744,
232,747,767,139,626,065,075,056,636,480,606,761,847,208,715,391,709,459,038,
855,881,562,608,795,792,814,047,690,770,978,815,197,124,430,724,275,507,983,
763,247,753,318,021,739,257,892,430,654,608,109,693,139,318,022,478,745,539,
415,238,802,987,622,363,365,253,221,847,232,202,199,880,207,457,302,439,450,
425,386,489,372,276,361,192,697,071,715,460,207,855,185,472,010,131,434,308,
254,402,024,762,590,830,754,719,993,222,556,642,480,303,782,199,920,731,850,
519,093,674,679,573,096,580,785,711,537,754,327,760,035,166,031,896,646,636,
829,818,883,068,889,234,025,290,126,805,472,429,482,189,720,875,178,189,498,
308,356,099,970,101,418,974,228,947,825,133,702,842,964,026,861,696,663,239,
893,579,355,259,266,542,348,411,417,387,684,379,614,254,084,965,613,340,403,
439,023,776,231,716,872,255,094,519,013,265,146,990,758,186,247,772,231,498,
220,485,179,511,899,420,772,521,995,989,510,274,130,245,386,363,761,849,031,
334,194,719,981,841,937,129,722,522,231,624,138,457,066,048,844,766,049,708,
680,433,424,024,760,771,260,336,549,883,672,275,155,709,254,800,731,679,821,
804,748,851,373,411,219,301,002,472,038,556,916,597,451,337,707,970,728,003,
622,760,491,388,681,758,790,533,592,838,479,466,169,220,321,078,193,158,325,
282,075,037,970,574,381,343,375,957,000,579,424,685,570,406,556,498,092,287,
449,115,213,460,877,608,414,518,412,811,158,845,219,379,119,849,209,791,871,
082,515,149,362,547,531,005,038,054,389,385,574,032,986,531,953,198,304,084,
346,234,920,740,738,633,072,403,347,765,088,432,561,896,757,593,396,056,357,
600,067,943,183,068,542,755,229,249,741,408,927,979,111,381,082,949,178,590,
449,605,456,763,298,560,158,893,571,333,420,893,385,419,242,898,186,786,829,
390,822,835,064,418,462,023,029,487,167,281,736,228,614,535,828,712,548,364,
026,794,606,133,186,503,280,287,282,591,226,672,529,609,638,003,931,627,929,
456,796,477,829,032,410,479,269,103,154,925,084,340,830,180,968,830,195,386,
625,561,312,153,526,155,192,814,294,141,286,725,426,085,952,616,897,911,762,
012,663,468,312,584,250,399,286,843,789,171,154,299,142,865,270,768,651,626,
590,584,064,133,575,890,954,516,741,217,654,432,507,995,655,291,872,868,764,
183,683,155,144,686,234,297,538,537,296,661,758,162,949,609,832,182,526,384,
863,968,957,983,208,549,612,872,248,918,474,484,526,344,224,035,763,635,245,
471,848,312,359,947,178,627,607,110,181,220,867,232,001,080,318,127,290,410,
604,530,579,721,011,782,642,886,018,901,683,577,515,460,794,054,087,371,302,
593,837,685,627,485,173,214,700,712,243,194,673,773,380,847,441,532,318,573,
439,622,527,947,341,599,823,382,958,876,115,718,276,953,936,320,233,604,017,
507,786,489,620,933,614,487,972,025,092,808,613,130,055,736,358,167,940,817,
727,876,695,675,683,225,297,018,548,035,584,661,060,188,921,526,980,120,017,
397,445,984,169,010,445,876,761,133,536,469,550,050,276,768,496,829,836,358,
538,457,368,884,265,394,745,359,243,095,723,176,267,930,891,548,027,713,733,
451,826,634,624,125,110,143,530,455,923,156,515,698,796,357,999,062,700,967,
214,135,627,182,788,533,979,440,792,738,473,541,872,805,583,866,888,435,863,
596,796,757,198,224,227,538,906,884,349,361,811,096,730,088,774,083,798,003,
589,651,170,099,564,575,003,403,204,218,120,349,174,185,214,708,128,043,899,
736,558,512,027,098,738,927,080,562,625,223,666,016,907,977,890,100,490,073,
706,864,669,332,127,121,907,735,137,429,582,704,678,802,878,159,483,059,727,
302,246,108,494,277,819,057,234,750,552,303,492,877,061,511,736,525,559,538,
772,006,051,230,465,991,347,381,195,451,250,486,385,393,010,205,082,183,144,
427,253,122,900,358,051,178,861,108,060,290,442,987,678,814,329,071,463,626,
625,657,893,411,901,780,692,296,484,771,577,382,468,739,262,960,792,897,551,
113,176,128,499,335,130,669,020,657,034,194,991,404,930,565,120,040,944,044,
637,067,895,304,370,407,391,528,879,741,582,855,608,411,073,940,092,084,493,
753,923,142,346,905,815,284,013,432,197,638,441,702,185,953,821,290,008,737,
639,907,081,733,231,290,753,043,393,107,444,769,127,292,496,323,510,915,358,
779,994,826,860,375,210,725,718,702,808,894,991,058,690,796,257,133,971,018,
274,961,043,437,240,825,503,715,633,201,072,785,707,357,929,286,734,254,832,
036,510,214,778,454,618,486,037,536,380,288,682,086,290,527,395,004,195,367,
867,272,478,015,080,611,641,416,122,014,622,846,192,470,198,576,126,445,597,
658,742,340,213,623,796,692,629,299,004,829,076,134,671,571,954,959,605,539,
554,044,480,307,601,362,119,818,746,286,152,001,028,914,962,844,948,726,450,
423,170,816,147,160,737,502,201,245,243,747,867,845,169,819,718,936,736,871,
818,393,071,622,607,554,245,474,999,842,774,287,283,118,911,375,058,175,160,
678,288,508,429,409,973,817,697,796,650,128,912,909,273,805,873,251,474,900,
028,192,037,778,813,616,002,435,951,890,783,228,360,764,896,332,631,369,803,
231,408,188,293,608,807,408,319,160,512,248,363,245,157,199,287,503,945,131,
921,634,423,303,493,823,665,611,640,673,351,693,896,734,358,583,095,384,463,
641,079,520,904,200,904,986,456,723,597,879,567,606,379,744,892,079,230,589,
348,387,930,581,890,840,829,932,538,791,952,439,507,811,192,155,937,187,151,
988,443,969,861,213,376,668,843,873,942,301,101,015,230,520,193,871,579,893,
931,907,265,287,506,461,831,181,263,459,899,392,244,375,120,492,128,963,222,
062,573,480,592,125,090,424,314,451,285,479,950,123,391,076,492,586,177,511,
444,787,086,269,385,222,549,581,010,951,767,076,696,020,533,083,169,972,604,
491,003,163,787,720,877,288,502,655,063,150,520,339,485,400,150,389,471,839,
860,848,428,772,555,627,205,599,520,289,460,332,307,752,234,359,323,042,915,
018,448,957,825,349,051,279,745,122,043,354,206,262,837,797,201,512,741,499,
134,787,730,467,605,493,765,437,349,924,787,642,172,187,561,384,208,085,101,
891,376,242,048,422,726,025,037,893,165,081,005,136,316,860,330,693,781,922,
779,065,940,578,138,495,782,815,290,266,016,175,699,996,386,325,582,473,583,
390,704,627,660,742,241,696,378,394,837,051,564,518,791,870,243,744,860,588,
641,295,511,754,360,092,362,890,984,412,625,273,594,774,504,924,380,217,229,
534,099,822,501,270,358,994,150,684,459,147,739,909,834,611,170,715,117,555,
174,616,651,742,635,839,009,516,882,678,624,976,344,207,664,943,095,647,129,
633,488,602,718,270,614,715,860,394,901,205,281,820,615,589,309,967,648,602,
876,890,935,199,670,379,302,421,081,169,970,133,548,035,479,075,221,024,955,
158,432,024,971,087,242,428,097,367,010,450,775,729,309,890,437,641,307,002,
218,320,065,221,393,146,649,261,439,752,429,866,147,554,373,907,058,866,309,
475,503,771,483,969,703,311,412,575,718,025,254,378,848,806,986,018,936,325,
711,358,731,518,600,608,031,287,774,126,729,394,878,507,191,617,222,469,285,
225,207,345,810,354,336,007,782,006,774,750,485,113,543,705,963,543,383,676,
557,886,879,902,845,039,541,730,216,151,240,955,129,354,971,673,098,273,758,
768,310,820,215,084,383,713,662,745,527,981,232,809,942,998,151,105,140,842,
376,026,472,806,103,134,919,366,621,856,069,711,133,227,189,995,886,870,262,
770,569,485,550,638,201,606,722,380,311,197,681,480,381,831,146,247,205,973,
227,017,411,027,655,292,311,720,983,297,476,139,404,755,437,288,960,921,212,
333,529,307,008,649,263,947,935,208,619,999,414,225,855,344,692,111,255,977,
002,800,995,596,481,320,731,244,195,019,641,248,825,645,650,265,759,244,390,
066,978,988,149,379,232,587,820,257,367,153,569,775,147,636,826,953,593,614,
531,364,514,502,835,718,493,591,103,267,499,135,571,596,821,677,337,295,469,
830,951,053,307,038,648,530,101,765,053,470,154,897,347,561,353,873,568,686,
336,647,253,629,822,761,408,291,659,473,825,837,878,609,013,130,537,310,335,
250,913,250,656,991,226,007,585,532,596,077,517,978,851,550,274,901,715,098,
286,724,962,670,813,721,419,121,791,313,604,466,002,905,217,908,412,472,920,
736,776,867,322,726,892,766,102,047,067,463,642,686,337,281,957,178,119,535,
853,882,821,203,620,232,543,781,165,585,392,232,738,476,165,263,741,952,701,
901,141,095,474,573,968,489,869,306,474,859,368,884,865,902,743,397,937,286,
642,343,476,866,804,290,115,675,593,093,800,838,293,218,324,113,221,270,287,
280,098,852,871,102,198,542,899,553,809,686,203,681,142,279,362,112,226,208,
329,170,585,073,741,649,967,605,678,892,302,225,589,736,622,225,965,588,497,
272,002,088,383,467,504,665,562,733,824,174,107,339,482,229,629,677,648,634,
447,757,997,883,870,420,044,959,786,125,622,589,129,076,863,249,701,262,679,
815,363,916,126,436,405,428,992,462,274,877,906,716,776,256,783,231,307,054,
732,775,180,010,158,385,860,401,357,212,077,714,329,591,787,688,578,261,486,
254,993,467,887,782,200,834,013,151,424,703,997,081,335,551,304,119,031,325,
041,241,358,427,785,604,495,047,654,830,242,917,485,225,174,868,222,728,631,
283,423,321,455,380,592,677,823,120,916,682,260,979,241,227,370,675,662,683,
455,195,504,414,709,467,937,883,051,575,646,056,503,801,811,305,155,858,051,
203,623,368,554,003,262,761,222,404,667,964,899,316,949,287,684,212,985,330,
027,089,293,695,886,937,820,570,875,962,397,918,004,689,024,332,435,088,982,
991,940,616,988,673,019,253,645,741,412,572,465,338,109,394,512,568,181,701,
809,217,418,682,593,823,431,765,083,288,845,081,226,899,418,523,465,031,316,
929,009,766,058,116,066,371,518,562,290,580,338,736,343,922,312,326,060,462,
042,632,059,549,737,852,088,582,743,401,235,295,698,291,674,479,129,027,077,
259,941,156,781,118,784,554,198,092,806,877,672,105,354,218,121,787,718,988,
515,851,985,782,146,318,014,100,244,093,378,324,776,228,319,192,324,747,154,
061,232,233,008,995,111,957,448,746,681,527,342,061,252,758,613,412,511,608,
718,652,734,061,008,695,747,252,482,515,221,535,335,450,305,282,277,650,783,
996,559,531,352,924,995,832,411,755,244,659,156,985,819,307,636,147,642,413,
940,879,299,051,356,524,556,552,399,077,932,449,316,581,524,716,983,044,970,
526,165,908,200,233,187,304,362,592,206,179,617,942,072,713,412,861,014,735,
039,246,913,704,550,484,635,954,232,288,833,481,657,662,468,857,439,478,097,
704,188,824,745,997,190,816,740,990,374,355,244,644,157,811,382,563,313,439,
525,501,810,804,799,492,014,483,918,833,376,279,505,417,887,338,152,090,697,
193,174,335,032,090,464,040,255,378,101,097,493,819,986,116,056,628,080,605,
947,699,952,251,391,515,566,754,443,306,335,660,294,651,560,026,857,122,382,
900,387,506,335,633,794,813,783,988,732,869,680,023,666,612,822,523,747,994,
186,380,959,438,788,620,358,715,888,455,859,393,127,896,572,971,322,882,678,
701,988,961,465,929,748,803,308,411,941,057,381,709,299,704,768,394,338,404,
443,009,241,326,408,608,462,365,439,208,362,968,493,382,756,305,117,306,099,
399,226,184,090,338,010,798,378,817,989,953,843,299,631,579,162,911,114,873,
826,689,728,986,769,623,222,465,869,816,454,971,476,741,095,932,710,105,905,
091,396,874,652,372,350,734,033,827,137,181,891,049,660,464,231,446,483,251,
097,351,755,492,645,669,515,384,367,523,301,651,158,280,387,404,851,852,070,
744,236,056,105,006,843,593,252,615,548,778,355,282,790,202,747,931,188,894,
262,219,654,196,945,789,172,733,440,793,135,319,002,423,526,369,888,364,924,
557,924,822,835,933,782,770,788,216,873,409,683,087,375,039,832,488,003,647,
591,370,888,468,720,386,745,531,674,755,632,302,381,552,889,772,561,952,722,
508,609,119,606,910,742,464,506,982,043,785,841,846,310,001,848,125,068,137,
602,566,825,661,303,005,893,586,881,678,504,749,986,777,526,679,383,323,130,
882,575,988,995,917,061,807,362,009,187,401,311,768,207,250,361,436,053,456,
161,467,010,178,445,055,567,961,474,005,556,447,244,200,907,768,316,577,251,
595,420,252,258,522,395,197,788,917,938,086,831,879,995,543,515,574,053,852,
947,639,495,036,904,463,045,491,374,051,089,631,556,363,460,970,996,438,554,
343,937,857,064,993,728,406,247,203,968,188,085,297,202,249,679,571,537,660,
278,655,328,087,512,986,741,033,287,228,674,309,017,967,280,778,524,256,171,
422,789,204,976,702,015,434,796,261,052,134,305,930,542,165,196,185,384,870,
736,850,886,368,386,464,943,054,723,332,164,579,424,236,332,155,407,227,751,
470,372,678,736,231,848,625,504,465,086,079,461,386,861,387,756,896,662,384,
668,880,530,900,166,275,926,659,057,817,529,436,210,008,182,089,381,461,959,
802,211,126,455,373,501,361,503,605,953,561,611,623,452,569,515,887,779,698,
344,573,452,346,407,987,866,807,765,299,092,080,895,682,748,087,541,311,093,
131,865,690,618,980,401,355,416,723,594,438,001,182,127,506,181,005,505,781,
657,800,207,737,344,782,489,450,758,032,074,311,069,120,835,511,065,937,073,
458,297,412,239,585,866,145,110,728,955,980,695,239,513,677,990,535,298,600,
521,551,759,607,826,444,447,337,994,933,469,305,974,704,220,129,423,847,787,
048,476,905,246,487,735,424,337,928,674,307,996,268,598,178,914,939,323,969,
437,304,093,163,427,717,123,393,581,008,053,444,307,660,805,067,649,943,338,
668,335,147,959,555,505,319,753,903,301,259,595,024,326,263,248,784,997,138,
620,316,599,290,414,281,122,636,112,075,050,108,834,998,278,050,436,148,288,
835,301,410,821,375,132,232,254,927,189,726,032,717,819,089,575,409,956,155,
351,151,468,843,913,823,610,100,321,122,151,254,453,527,443,594,345,451,400,
280,302,427,630,606,026,546,731,710,965,871,347,348,400,947,490,080,115,130,
450,008,897,567,174,714,736,099,167,210,217,348,651,544,697,481,418,304,543,
042,824,783,991,646,031,331,820,388,656,609,630,014,956,979,584,562,631,425,
060,068,083,451,273,888,622,356,020,689,822,047,692,072,785,629,388,621,386,
330,692,600,972,882,395,264,571,424,997,733,227,200,834,565,319,871,590,758,
818,597,228,499,400,277,400,484,765,222,840,899,190,143,336,162,969,800,308,
978,306,070,435,694,281,931,540,631,359,483,709,007,939,865,664,479,394,027,
691,397,792,167,928,231,796,410,688,610,158,651,939,056,593,346,443,499,762,
652,138,634,809,476,425,302,560,914,699,261,906,363,848,668,913,044,668,663,
781,109,881,884,268,328,731,452,847,667,783,320,046,104,807,918,301,969,441,
131,715,107,059,209,596,299,825,425,445,940,684,404,963,169,144,808,121,821,
405,107,796,322,061,818,443,034,937,033,334,714,160,361,052,889,290,628,373,
736,429,594,052,363,151,963,516,294,586,417,251,882,433,347,103,001,573,474,
021,069,919,217,283,896,488,470,964,101,805,267,335,068,320,220,729,749,939,
358,212,086,760,667,700,165,089,601,843,799,825,443,253,011,968,935,638,954,
655,600,971,646,929,635,731,838,429,043,417,096,086,072,524,720,642,531,403,
686,863,995,577,497,433,676,942,887,153,164,184,999,835,032,063,959,253,935,
603,013,283,068,999,025,605,965,346,809,280,846,768,153,137,188,565,725,490,
375,256,865,050,254,766,867,533,813,450,455,271,613,038,757,880,625,823,072,
300,591,971,881,574,578,306,262,411,127,705,769,617,916,442,959,712,654,323,
120,710,732,656,615,344,573,928,714,735,923,187,862,844,335,005,344,661,093,
919,582,217,975,300,927,926,184,147,827,913,371,698,926,431,716,579,383,031,
173,175,058,824,768,974,106,418,777,802,879,030,834,290,541,242,271,063,148,
932,240,772,288,441,711,579,097,774,203,671,837,107,576,133,409,326,608,941,
739,824,127,120,457,205,083,043,060,105,528,599,531,427,472,728,993,200,334,
130,160,181,251,627,601,383,629,223,951,263,535,764,120,686,113,714,797,723,
405,472,721,945,701,351,532,916,248,381,100,219,333,189,899,387,874,231,443,
107,600,729,351,202,208,284,208,232,112,767,874,523,000,701,721,112,887,139,
631,236,621,794,495,028,063,733,512,975,855,444,200,266,499,440,859,094,895,
442,514,322,939,512,124,588,339,698,860,976,031,475,283,950,762,209,610,106,
657,598,018,423,728,431,135,190,578,646,770,411,213,896,101,454,331,480,470,
408,523,976,373,187,423,695,431,131,125,457,884,984,592,535,311,961,111,354,
865,860,257,253,142,230,635,162,409,421,127,256,661,307,920,120,210,229,426,
312,627,816,103,016,536,074,835,208,532,815,738,360,779,073,858,738,220,325,
656,061,855,188,009,106,133,623,576,974,182,775,895,990,532,996,907,283,465,
737,931,535,854,001,758,032,893,083,921,988,021,132,232,831,063,949,747,833,
902,151,954,171,643,558,321,816,882,270,488,215,022,342,907,271,736,991,103,
330,320,416,310,509,252,459,671,185,763,399,874,007,150,987,320,705,923,058,
137,280,599,968,103,892,172,220,717,686,253,797,470,463,611,719,208,368,697,
769,522,712,543,939,063,149,278,635,943,646,312,867,433,747,739,461,660,642,
016,957,168,452,467,063,684,927,027,971,539,122,937,266,359,985,635,693,198,
657,086,449,549,370,778,583,681,754,574,353,426,362,894,535,820,297,007,819,
100,428,499,784,652,230,765,473,232,245,384,225,787,516,158,339,147,408,789,
676,203,374,909,877,874,794,992,240,648,759,665,058,467,296,283,928,083,228,
881,973,452,321,807,025,457,401,165,341,881,853,897,866,569,839,333,649,562,
682,257,615,034,292,590,975,088,850,585,584,590,896,058,650,130,440,325,487,
143,049,514,667,955,976,919,151,478,053,925,584,593,235,615,512,123,448,910,
748,278,837,079,374,903,186,914,946,081,446,981,195,622,486,567,577,222,162,
126,744,100,675,984,980,420,375,940,725,898,538,539,720,197,470,423,962,081,
239,881,883,824,691,130,024,089,103,318,114,346,467,074,303,748,516,575,607,
457,027,855,857,543,258,938,794,548,617,888,048,318,898,793,851,515,596,359,
216,977,189,739,585,906,831,097,324,389,993,043,407,804,230,340,645,404,795,
713,872,087,383,796,437,477,664,781,244,184,907,714,628,586,192,458,691,515,
443,185,218,708,896,120,991,621,313,296,905,544,160,833,070,831,269,296,886,
318,729,795,099,513,252,092,856,819,878,147,076,012,255,471,835,282,146,112,
309,729,601,514,160,713,719,578,650,236,138,349,349,387,574,996,351,391,095,
047,244,740,185,116,111,556,267,887,417,375,538,544,365,709,364,263,824,610,
152,257,919,161,691,293,417,277,976,066,474,383,960,797,211,127,990,444,009,
430,466,589,678,614,986,036,737,838,580,232,659,588,011,682,548,573,379,320,
322,126,033,099,487,613,102,237,707,731,012,888,096,085,634,364,692,822,912,
599,143,753,961,567,750,414,971,400,364,347,892,046,324,169,677,689,161,837,
841,446,946,007,194,982,566,114,454,278,436,013,852,640,646,929,290,629,692,
925,405,854,906,440,107,772,082,524,958,550,259,232,352,702,797,178,878,441,
079,109,882,713,030,736,468,879,846,545,377,301,180,262,135,962,088,553,236,
314,258,742,367,639,187,399,419,632,706,821,746,288,035,092,820,648,401,616,
672,764,387,103,536,868,053,678,138,985,315,941,578,372,880,715,637,857,079,
033,122,798,045,770,834,503,775,501,916,404,537,346,711,481,827,107,024,885,
143,966,181,103,034,643,768,233,736,889,945,381,538,989,817,509,600,076,238,
910,732,144,269,632,410,526,353,369,840,092,300,677,089,458,409,723,351,520,
692,844,125,881,655,315,293,274,550,113,463,873,719,383,999,746,280,260,049,
326,383,604,629,284,470,144,649,671,341,186,673,181,002,774,500,775,536,212,
701,326,465,383,268,681,309,846,137,646,233,190,925,465,215,630,276,621,360,
687,077,425,530,223,755,425,256,743,408,372,004,199,848,750,773,782,899,075,
203,528,914,073,941,277,948,915,616,324,528,816,957,552,986,756,144,434,719,
407,041,490,440,755,246,392,848,317,998,771,160,717,546,996,874,030,279,001,
553,645,984,095,413,346,507,980,288,010,626,190,596,655,453,284,420,873,173,
581,865,326,315,549,248,234,675,223,533,651,894,837,148,412,063,619,510,819,
696,625,826,326,503,340,518,194,237,751,085,085,652,728,116,598,497,439,975,
275,064,628,739,945,755,406,968,584,657,513,259,404,148,475,483,737,914,254,
804,498,819,170,330,902,234,833,300,040,349,930,276,399,800,922,925,626,296,
523,848,716,613,211,341,189,047,005,544,420,144,053,144,966,876,712,675,950,
864,186,510,844,376,350,596,648,505,150,442,204,241,535,709,965,848,104,778,
589,010,737,516,518,491,211,149,373,775,738,833,363,279,949,348,571,142,249,
137,113,287,563,818,917,519,103,232,979,897,859,324,469,147,033,534,556,797,
011,124,053,944,737,786,775,936,300,448,479,080,774,549,671,429,816,338,038,
212,646,088,091,120,144,351,709,623,827,430,647,178,851,682,724,002,730,973,
184,890,346,970,719,432,183,948,871,724,218,706,981,122,394,544,018,360,971,
938,421,581,116,614,529,786,098,189,849,632,089,231,403,635,001,293,757,276,
958,469,527,433,039,142,759,116,368,684,885,679,374,619,866,374,591,269,829,
382,088,410,633,094,865,111,445,956,704,309,238,269,014,793,279,378,039,484,
464,111,785,198,316,735,146,530,857,858,511,711,735,142,142,224,729,987,903,
668,246,109,866,838,958,246,204,522,054,188,206,782,128,841,225,028,228,943,
230,615,729,480,296,365,041,369,577,350,473,124,168,765,990,306,181,330,555,
455,675,437,897,445,781,204,922,626,517,018,691,509,112,964,436,090,068,795,
171,177,854,845,668,326,539,047,423,723,625,164,475,697,547,719,241,522,214,
071,626,682,530,202,500,168,530,904,861,333,307,364,106,203,405,721,963,442,
786,715,470,350,821,826,550,533,703,413,889,842,511,935,925,520,697,819,971,
016,074,818,050,264,951,428,120,598,507,260,935,722,529,571,088,953,266,092,
283,197,511,237,017,631,117,166,709,338,188,704,359,997,422,836,706,905,925,
443,631,040,515,658,270,537,756,440,133,402,061,337,363,201,938,670,432,464,
286,664,343,951,075,987,018,718,383,835,196,905,437,627,434,783,087,660,969,
303,540,767,625,365,632,970,507,885,003,014,554,184,927,905,105,927,165,238,
192,216,473,146,063,230,252,670,444,084,072,067,689,314,900,716,613,111,977,
636,904,315,047,152,411,512,646,662,733,716,361,459,902,902,272,139,914,121,
599,520,731,423,103,478,139,257,617,872,172,636,905,494,685,277,847,695,691,
570,509,592,720,241,342,671,101,251,520,442,119,858,348,105,852,178,902,831,
421,779,516,013,132,477,746,646,190,813,286,281,560,775,379,185,017,061,435,
723,125,255,288,430,233,027,257,933,325,662,316,539,349,530,075,939,532,058,
529,253,571,428,360,447,555,466,826,081,284,820,066,148,139,731,193,674,628,
756,160,509,756,602,144,559,116,062,727,229,116,972,057,411,668,960,007,227,
537,159,783,767,813,397,193,020,526,592,613,986,926,980,117,499,826,700,632,
770,946,179,670,085,314,314,913,848,186,399,846,658,529,628,422,802,229,593,
932,796,267,018,163,527,307,659,142,706,560,855,946,988,098,517,012,644,891,
849,557,439,197,885,645,071,865,769,282,537,106,269,401,445,800,848,634,554,
779,276,537,274,956,985,877,734,739,649,771,045,457,454,591,900,792,250,760,
160,240,171,294,906,672,266,529,784,259,026,152,183,640,459,525,728,262,873,
679,580,408,869,921,549,309,417,006,884,818,416,010,351,029,124,057,503,451,
936,154,732,392,059,065,693,542,123,416,338,201,953,712,558,311,946,092,815,
717,920,354,968,214,702,245,142,649,979,241,994,717,724,932,155,960,533,439,
981,761,610,376,308,462,693,677,717,182,898,522,638,319,508,396,648,779,334,
695,902,851,436,954,157,035,332,099,791,536,060,380,736,106,573,936,530,549,
365,602,828,623,307,835,093,813,486,044,345,217,298,539,890,613,655,358,436,
773,849,052,275,495,288,910,126,253,477,290,972,230,669,841,471,036,027,985,
035,585,188,388,090,827,767,799,332,481,303,903,650,260,696,264,871,074,805,
360,719,971,734,562,184,564,088,910,207,999,610,270,344,858,449,323,098,342,
837,638,789,498,016,585,120,839,495,996,659,142,519,168,473,010,789,455,659,
651,725,864,510,944,334,622,418,004,334,441,760,079,871,388,326,485,395,567,
460,268,265,912,589,913,374,627,381,945,508,661,753,260,957,755,807,309,650,
075,961,046,995,635,287,942,644,246,372,562,426,304,456,827,301,559,798,346,
057,799,515,215,363,895,546,005,102,500,110,261,060,285,514,291,533,982,979,
589,892,783,433,638,689,644,589,450,846,465,755,513,104,317,942,085,173,656,
873,121,087,412,380,427,154,213,058,450,281,184,677,526,270,421,026,117,016,
571,587,815,672,285,957,196,540,874,820,288,021,879,915,804,456,483,350,934,
126,854,742,384,917,255,117,501,602,989,736,692,216,155,564,210,525,617,835,
077,411,577,971,792,664,626,251,824,715,170,089,012,181,722,829,505,913,001,
502,108,357,938,893,689,032,739,768,536,321,557,936,501,735,592,537,478,113,
901,923,217,637,573,261,427,165,445,595,636,009,139,832,754,171,232,658,384,
515,323,516,349,095,533,762,961,316,809,514,833,002,619,985,155,798,049,481,
312,006,739,895,275,236,474,933,311,024,499,743,494,984,247,218,076,766,053,
147,707,208,204,389,741,996,378,529,929,895,341,437,058,110,864,937,355,168,
947,178,467,281,514,617,425,535,167,469,121,701,439,971,269,929,775,478,428,
771,314,351,180,661,927,304,298,426,002,279,843,084,040,530,845,791,626,088,
335,643,850,200,940,124,585,492,033,119,053,993,985,960,831,347,169,808,888,
933,817,024,335,492,333,029,897,111,096,811,090,020,907,963,915,375,095,040,
539,732,561,139,495,827,718,875,076,866,219,020,357,331,435,079,885,094,319,
842,658,554,441,820,947,018,652,384,104,636,865,841,256,275,665,682,976,610,
603,381,380,926,101,874,398,347,394,910,225,980,726,482,479,494,229,122,892,
852,030,949,953,575,329,750,886,891,939,127,974,740,084,519,598,750,863,355,
300,374,456,874,968,918,827,366,952,888,440,626,486,982,704,656,198,001,425,
974,561,414,827,991,863,866,405,343,761,702,696,461,526,332,336,200,709,063,
609,946,678,394,434,051,337,755,934,631,530,452,156,639,714,242,286,286,565,
732,802,400,247,907,605,942,379,797,646,123,058,743,749,249,947,416,797,765,
170,581,772,229,112,854,067,559,533,685,770,816,753,875,267,994,224,466,645,
736,459,718,491,123,484,361,827,307,391,375,879,645,253,595,320,658,661,744,
109,705,544,886,845,391,898,130,557,574,594,759,280,847,170,862,574,256,440,
585,696,298,155,289,697,152,089,459,364,869,741,056,340,547,210,701,898,902,
434,621,973,284,252,076,724,173,098,406,794,711,781,451,552,843,554,123,248,
358,337,177,522,294,145,209,376,314,132,079,432,914,875,783,255,549,029,566,
262,037,684,149,289,424,483,865,780,030,365,526,113,183,340,771,082,805,519,
024,927,210,601,215,372,221,936,077,808,456,799,219,063,784,143,925,008,113,
863,170,638,519,769,944,759,657,940,407,593,635,203,225,698,484,287,579,162,
476,772,900,674,235,445,199,337,333,718,378,057,613,822,714,502,833,075,431,
318,435,037,289,231,770,954,105,443,114,715,293,664,904,511,256,132,346,144,
631,528,796,069,256,832,883,469,866,422,451,658,355,727,272,536,384,370,807,
475,675,325,361,250,420,121,227,578,732,708,105,878,575,973,156,291,391,854,
576,250,783,023,744,065,236,855,280,324,167,164,326,933,352,605,985,761,781,
225,009,236,019,112,518,134,827,214,812,048,459,745,671,250,910,606,187,256,
192,579,594,233,237,749,005,432,887,055,458,834,802,063,639,398,204,993,300,
760,570,277,743,450,832,585,950,290,467,232,915,447,353,974,384,821,374,648,
906,084,816,716,410,801,271,533,769,481,723,722,701,496,134,342,080,645,712,
921,751,510,185,800,186,286,746,029,196,939,913,164,428,988,769,240,230,114,
323,615,298,414,194,017,648,191,401,272,582,023,788,734,323,813,013,222,110,
103,315,734,602,222,805,467,075,738,647,536,825,147,315,645,550,208,229,386,
816,132,457,117,741,190,960,698,872,092,062,635,871,367,977,046,135,576,763,
899,397,416,918,232,197,467,722,306,268,427,540,552,114,556,921,181,001,692,
721,554,707,051,557,660,571,076,287,733,447,580,780,524,069,720,952,303,441,
407,797,649,240,456,661,631,216,328,144,662,290,180,570,781,330,317,826,343,
118,695,213,086,404,190,882,563,574,628,763,211,928,219,408,726,701,272,614,
205,524,960,576,893,667,581,034,677,137,183,982,221,226,179,854,812,422,191,
868,416,947,565,594,121,855,055,155,227,215,957,596,264,968,421,750,832,473,
042,282,534,724,505,977,581,994,745,579,790,302,771,711,181,479,628,271,441,
799,307,745,806,162,825,248,352,200,674,576,588,582,551,519,946,532,525,387,
030,567,983,819,510,805,915,134,383,149,973,880,892,873,498,750,216,179,125,
517,106,105,247,553,035,419,363,949,192,644,698,341,053,592,597,472,084,261,
365,975,397,522,733,677,425,329,059,855,114,058,920,354,254,546,690,491,413,
811,639,880,796,636,827,035,776,110,849,637,519,070,032,218,205,611,260,107,
136,083,687,794,172,115,438,958,470,718,651,526,518,320,259,248,106,977,913,
410,623,109,772,655,134,765,137,471,877,686,842,320,026,045,515,694,041,602,
953,759,073,779,751,699,951,155,546,364,072,445,718,994,255,009,054,402,046,
619,109,260,849,564,124,827,486,198,942,700,940,735,992,896,479,308,288,051,
914,902,943,636,812,744,110,436,156,692,080,551,369,152,284,791,880,286,539,
644,872,304,998,856,227,887,183,490,878,408,567,268,056,749,082,593,885,778,
037,798,868,800,851,445,398,582,298,003,688,809,388,584,890,933,385,524,174,
010,566,911,745,421,231,410,793,398,065,224,948,938,687,086,010,302,207,073,
598,938,971,544,835,871,210,601,773,219,648,958,329,991,814,995,817,799,231,
000,482,515,649,067,270,476,213,102,314,710,277,307,140,101,761,741,705,235,
374,978,456,955,303,324,399,035,123,744,795,001,156,536,813,422,126,417,428,
588,306,441,682,811,236,028,037,149,867,443,483,095,065,019,628,498,632,682,
419,021,220,921,538,929,944,188,372,638,613,014,023,170,265,865,468,783,365,
466,513,687,675,890,061,186,014,969,495,553,687,323,964,555,995,100,910,934,
846,500,018,626,728,893,196,778,613,512,034,382,279,239,264,367,945,064,453,
056,718,417,659,726,609,343,391,534,463,539,775,939,733,045,337,135,696,890,
352,879,642,507,486,069,363,218,239,803,905,238,275,247,128,120,465,599,474,
566,931,025,100,789,639,974,411,124,292,944,504,959,266,431,178,511,339,153,
458,275,559,261,158,102,621,726,608,103,787,652,352,526,911,930,129,256,875,
151,465,180,726,680,465,503,898,119,655,843,130,755,926,436,220,593,807,669,
722,808,209,658,833,135,593,317,124,299,650,781,645,973,676,278,545,226,116,
493,570,501,124,483,998,767,232,892,652,567,472,918,518,541,954,052,476,746,
202,625,545,488,780,453,999,889,446,685,510,888,849,881,495,904,676,512,481,
694,317,878,424,530,636,463,216,921,414,550,438,486,834,358,783,831,959,334,
578,782,288,380,046,557,023,782,841,344,892,796,173,193,426,844,135,638,759,
902,775,766,919,591,164,311,799,886,273,322,396,312,427,158,745,144,884,812,
515,980,483,373,294,496,726,603,299,611,736,894,901,118,969,430,643,631,774,
517,343,611,117,183,110,625,021,596,982,372,548,248,672,701,876,983,686,397,
699,804,192,326,176,127,555,141,030,395,228,995,172,734,401,882,524,614,829,
799,074,627,812,640,751,210,474,205,926,559,758,332,817,250,059,808,117,055,
318,918,635,985,206,874,278,471,651,719,658,814,942,065,508,013,699,079,221,
703,434,799,565,321,813,041,337,815,764,653,310,999,353,388,999,268,026,745,
464,247,371,033,719,184,534,447,713,878,364,027,239,062,723,684,660,460,444,
793,809,846,931,727,637,650,670,493,330,720,003,518,773,478,884,451,443,726,
761,940,608,355,821,830,648,167,840,799,367,652,031,522,510,485,430,488,367,
274,372,530,761,233,654,353,735,034,130,176,182,808,034,800,944,320,743,678,
292,061,629,492,281,890,382,724,105,802,114,960,940,484,689,772,530,230,212,
239,621,973,880,044,010,846,629,285,967,208,463,407,236,952,860,323,467,843,
676,049,394,479,343,637,849,969,887,220,112,335,937,322,870,041,957,623,417,
672,235,876,623,938,498,829,277,193,731,334,645,592,423,894,921,202,810,894,
108,365,925,916,583,946,833,989,410,858,312,867,996,315,582,840,883,989,860,
914,545,551,759,552,751,667,360,006,438,322,210,194,201,552,845,311,215,786,
307,906,540,589,093,192,355,897,623,753,514,247,212,809,893,216,001,460,947,
393,187,173,847,768,290,670,152,600,774,919,508,894,045,933,892,656,854,341,
439,327,031,839,500,819,460,163,704,195,747,768,061,289,676,978,955,862,076,
318,748,670,174,045,495,468,657,357,437,510,189,490,983,562,351,863,754,540,
525,738,518,624,803,654,075,600,718,539,569,721,205,174,076,503,164,292,892,
738,699,095,188,037,972,593,268,872,828,955,673,153,857,644,024,162,800,531,
023,818,422,107,860,714,086,894,995,034,089,649,021,849,903,024,128,738,237,
906,077,747,330,005,011,735,950,642,119,657,690,903,678,437,562,749,299,639,
149,615,515,976,942,324,462,116,901,737,069,977,726,467,777,364,812,265,940,
231,153,822,184,618,455,631,677,764,369,351,450,825,035,264,751,484,110,077,
052,953,815,248,121,127,883,464,122,130,562,635,645,997,228,352,083,328,256,
732,614,040,298,644,420,905,859,382,039,256,063,155,232,900,290,682,129,112,
961,797,008,993,831,187,629,218,653,623,427,400,854,469,007,740,832,443,242,
083,339,089,572,318,052,053,602,197,430,187,677,516,405,256,368,063,234,204,
371,612,441,819,494,883,301,405,539,827,367,099,466,243,410,137,075,510,081,
243,496,089,437,576,538,940,031,852,756,320,648,938,431,699,556,716,570,653,
294,818,276,672,503,838,296,318,947,601,544,455,746,029,058,891,083,968,275,
164,755,618,730,571,680,774,667,309,240,625,276,700,607,966,436,070,563,926,
793,826,659,757,923,639,680,608,792,942,870,900,417,102,343,182,823,733,235,
052,403,610,389,305,753,068,382,884,883,008,071,377,030,994,740,761,931,904,
134,431,508,162,400,681,412,699,551,180,065,835,223,993,190,834,890,847,439,
566,648,357,073,257,923,798,147,348,055,939,662,889,984,091,358,121,005,885,
487,294,397,124,345,266,988,478,546,353,305,308,717,666,606,836,991,505,555,
884,742,370,026,297,368,035,729,295,368,863,783,763,262,139,283,259,842,991,
454,899,091,126,618,642,674,990,943,184,634,381,571,519,466,999,651,697,146,
149,211,577,759,155,828,671,346,812,404,433,714,291,801,932,337,910,784,878,
164,729,951,751,271,889,306,077,976,439,193,627,107,638,725,372,233,125,650,
867,923,132,187,346,141,651,502,218,008,766,255,739,932,678,830,801,829,084,
726,620,045,314,348,106,454,704,469,313,221,231,981,354,352,032,236,971,469,
190,023,447,939,249,441,303,962,493,876,568,852,944,764,625,122,114,551,370,
850,244,122,440,963,703,301,871,525,249,457,787,150,534,714,404,193,130,456,
909,528,270,160,268,224,160,334,062,693,945,348,794,132,497,176,606,668,187,
721,774,780,972,531,444,975,226,796,420,718,324,025,857,454,899,882,439,421,
954,704,505,953,662,947,206,138,555,993,247,102,818,166,881,667,606,032,860,
348,489,097,241,976,946,690,939,041,223,973,629,413,232,918,005,168,888,916,
629,217,648,837,431,600,953,890,125,237,904,041,950,429,824,929,047,057,471,
799,989,608,323,659,983,966,549,857,850,758,117,280,002,547,785,187,010,817,
647,442,322,817,347,188,756,271,321,974,212,910,727,649,427,424,239,860,143,
676,586,914,112,295,663,643,361,765,270,702,759,527,818,300,718,923,344,711,
028,949,865,724,743,404,352,756,285,412,294,099,071,400,802,428,408,129,999,
520,543,475,892,294,878,817,767,580,825,257,917,733,340,906,126,032,731,407,
613,222,650,898,279,197,051,259,079,068,598,114,465,918,466,939,568,515,938,
585,045,142,350,934,681,873,939,822,815,120,653,463,864,005,955,665,890,833,
348,501,168,011,582,246,927,555,215,482,936,507,248,238,012,436,306,030,379,
979,304,430,987,026,908,436,115,982,147,516,628,372,755,361,768,482,007,373,
113,852,355,570,372,072,403,570,376,881,251,919,766,550,558,648,928,208,861,
684,517,220,286,780,261,346,403,945,958,079,892,321,051,214,914,205,552,331,
801,056,920,668,789,424,469,196,727,271,957,027,658,310,110,702,990,424,103,
666,998,255,286,798,918,043,607,610,790,222,843,309,993,346,510,926,900,597,
115,457,392,263,180,445,778,467,260,069,553,330,712,617,381,775,645,295,361,
337,087,014,969,168,704,132,343,572,009,487,839,082,432,223,718,916,011,993,
209,445,602,298,728,963,013,774,366,253,915,239,339,130,389,178,578,419,021,
968,235,620,142,708,628,462,633,115,536,274,542,147,757,250,118,233,739,392,
351,170,835,084,221,538,598,679,999,683,014,311,693,866,079,990,759,560,349,
020,268,055,494,608,485,253,613,935,392,082,787,381,758,104,606,194,991,466,
630,226,580,560,087,596,565,437,358,853,157,912,759,392,706,115,197,751,116,
594,055,551,655,075,918,556,828,432,523,396,942,460,980,773,944,220,164,929,
218,771,976,921,725,420,213,459,731,743,227,131,091,611,697,359,340,173,391,
088,810,176,960,825,243,437,018,333,746,956,940,952,912,652,842,976,722,459,
101,948,676,471,563,907,027,851,990,734,934,671,395,912,637,213,857,705,470,
663,398,977,751,652,550,241,145,853,106,878,908,813,876,692,740,224,054,668,
109,502,824,160,120,871,991,622,369,255,189,154,437,513,720,487,866,137,556,
433,106,884,557,522,502,311,047,187,110,257,923,520,511,066,029,105,252,080,
611,921,226,092,891,917,432,471,549,339,394,933,618,004,912,104,230,616,748,
093,788,842,802,960,012,719,905,256,490,471,506,505,667,396,632,450,777,107,
131,493,589,781,469,185,274,871,051,911,105,260,288,507,069,258,324,857,181,
318,782,461,904,487,030,398,725,194,165,633,161,721,148,999,273,235,582,691,
387,323,072,786,169,724,875,502,239,420,221,924,663,895,226,833,078,656,867,
184,083,674,530,228,771,372,921,730,017,500,331,036,606,137,334,328,110,619,
606,504,410,974,664,166,155,501,711,180,586,440,333,083,378,729,371,017,925,
489,206,210,954,137,059,126,700,649,572,467,659,198,946,482,992,496,836,065,
700,556,792,965,692,143,845,907,550,946,775,336,742,924,657,577,055,535,208,
907,153,008,946,458,575,573,698,907,206,098,566,704,027,824,807,072,030,277,
345,758,245,122,580,292,045,911,243,219,156,806,555,747,338,795,009,778,922,
917,030,643,034,062,800,853,545,655,135,360,273,307,877,231,945,547,115,852,
104,798,819,333,771,260,234,798,521,252,579,526,462,960,593,770,893,599,911,
615,965,724,116,789,863,066,958,575,404,225,673,613,724,388,595,157,621,913,
668,137,401,481,226,404,996,310,683,650,313,197,459,387,550,516,257,650,554,
523,462,898,432,276,331,546,987,667,069,956,042,390,209,739,981,196,702,745,
648,071,107,813,071,663,094,071,230,909,983,167,862,360,423,559,820,104,005,
219,196,892,743,051,328,765,996,561,252,747,448,759,924,756,167,742,576,778,
485,718,663,894,294,364,364,926,048,490,599,060,141,189,029,282,482,115,682,
330,908,010,227,874,700,325,914,967,263,284,538,440,711,316,178,070,071,799,
262,612,879,524,328,674,480,359,164,991,652,605,815,851,920,299,195,628,857,
056,616,520,864,387,026,846,427,669,516,876,299,071,350,038,650,137,157,614,
302,330,410,112,768,026,740,047,182,104,205,267,951,918,299,113,435,168,405,
483,510,617,705,593,823,662,716,557,386,512,610,918,277,345,595,514,448,031,
227,455,291,564,698,003,962,630,829,534,645,749,634,251,002,107,291,125,201,
970,769,283,829,109,488,879,071,680,231,854,988,460,688,933,896,218,834,254,
877,453,506,216,366,117,333,451,829,176,364,191,638,927,369,074,632,775,053,
904,392,032,671,699,770,876,459,744,356,590,321,127,633,071,991,157,530,047,
561,865,174,010,457,620,714,441,748,765,057,091,986,549,664,500,002,001,171,
818,901,683,732,859,588,344,814,553,777,466,226,322,535,794,702,336,185,378,
108,602,540,659,651,099,487,064,551,604,919,511,469,047,234,633,389,428,871,
515,759,698,419,248,107,228,565,866,860,403,965,828,332,785,716,644,684,958,
731,482,521,531,573,023,387,270,962,837,444,693,671,115,208,139,770,662,423,
419,155,559,935,590,079,907,711,041,827,835,129,562,329,782,597,399,748,086,
945,510,615,644,719,448,142,879,419,847,930,061,660,475,800,039,844,413,890,
708,250,492,299,734,278,582,888,838,302,211,346,159,967,815,238,928,162,499,
717,430,806,031,348,378,277,439,570,368,128,313,133,285,727,765,594,657,852,
019,099,058,748,741,403,375,681,281,144,605,738,427,088,297,032,887,981,405,
074,199,505,004,986,485,747,191,348,638,033,078,715,334,860,417,763,032,625,
926,015,965,835,646,774,107,423,138,525,718,144,257,014,301,321,811,357,982,
138,159,716,424,106,995,248,714,111,694,065,704,528,098,598,708,342,914,478,
073,518,651,712,303,981,734,561,010,918,533,260,375,614,079,418,880,943,070,
715,639,120,281,875,486,087,718,909,868,308,252,942,263,418,395,121,839,508,
537,308,971,863,995,360,809,823,445,194,315,107,858,182,392,671,359,584,835,
487,881,335,659,911,247,065,124,771,429,535,313,066,496,694,967,176,290,516,
009,900,914,144,126,275,585,476,437,356,811,638,050,332,398,630,060,876,079,
532,939,752,044,684,451,332,076,099,640,155,085,717,595,464,035,816,950,763,
723,983,737,992,099,465,065,229,030,914,061,777,614,639,479,665,987,910,043,
416,460,148,349,003,030,617,846,436,221,825,134,298,812,439,983,013,611,654,
676,677,572,264,555,070,146,648,549,158,266,924,102,586,838,179,522,431,197,
066,330,054,526,169,918,374,458,394,832,580,716,372,022,663,619,071,101,974,
035,160,817,051,769,437,763,753,346,335,119,744,927,319,337,831,057,891,593,
031,145,308,487,957,172,376,320,363,053,796,052,931,153,433,572,302,242,625,
108,887,327,933,138,265,093,715,051,595,011,086,421,090,330,514,768,709,970,
570,936,378,653,555,387,766,483,357,314,235,949,069,324,993,751,947,144,324,
114,346,118,838,415,520,727,363,043,521,654,965,070,517,731,002,725,787,658,
786,010,302,881,936,265,846,982,514,925,997,791,538,208,321,944,658,380,456,
237,098,447,875,877,110,527,234,463,653,120,192,253,535,666,511,929,653,795,
189,292,561,272,279,578,609,748,090,533,122,421,066,274,042,059,372,645,410,
957,476,903,246,416,010,371,153,030,644,429,089,454,656,801,667,029,780,662,
578,771,104,748,256,273,519,227,953,337,439,892,348,415,901,636,719,937,420,
881,638,326,921,890,174,777,277,284,534,972,253,294,933,288,789,561,939,508,
716,642,060,883,878,073,925,999,582,532,681,548,385,157,383,771,005,255,138,
812,089,779,871,804,323,296,881,240,698,056,281,983,846,135,427,811,735,728,
848,092,192,782,107,864,414,025,150,035,702,342,957,547,971,249,534,316,697,
474,269,089,397,804,029,307,645,517,918,651,284,918,941,285,547,853,601,727,
747,615,371,177,385,953,385,376,846,888,169,543,759,111,104,185,355,223,027,
334,464,262,923,979,189,768,318,335,648,929,118,621,136,899,424,659,404,388,
141,919,480,186,092,984,214,362,814,538,505,276,286,985,012,587,338,494,713,
701,939,986,891,070,521,675,473,472,305,543,095,313,477,915,133,378,850,725,
554,378,244,540,075,889,323,884,415,927,425,360,693,678,552,516,304,937,128,
860,623,249,724,145,387,162,036,451,925,898,493,119,977,734,265,444,387,237,
949,623,224,774,521,207,575,441,276,686,676,703,379,679,772,956,521,906,998,
666,255,425,593,515,094,909,923,800,415,952,114,843,152,240,155,423,086,718,
475,888,756,044,380,694,232,490,469,342,966,742,389,515,135,504,240,933,686,
220,054,121,100,685,271,306,454,406,195,536,478,202,652,810,389,478,004,660,
870,893,778,487,727,193,738,054,837,405,664,115,353,578,984,571,364,352,194,
723,238,348,044,935,883,532,092,868,578,582,173,492,760,824,171,224,899,064,
040,655,779,937,029,506,649,278,004,638,892,624,223,071,914,417,657,414,648,
987,657,738,461,269,345,535,856,779,619,632,625,591,292,656,368,642,584,572,
578,606,745,630,823,345,725,190,989,419,641,019,053,523,868,799,003,419,437,
191,275,208,983,194,438,486,904,349,282,592,635,802,311,630,548,985,357,438,
488,937,121,249,440,091,033,397,866,668,752,633,055,264,323,854,721,625,410,
140,142,579,739,632,767,780,176,776,422,918,045,159,666,534,627,887,251,994,
383,968,539,472,832,068,892,233,406,148,344,567,301,777,900,658,798,930,113,
466,864,517,402,981,158,356,891,019,161,022,218,178,721,068,944,723,984,173,
538,002,694,955,824,599,530,458,591,979,594,287,973,704,584,493,967,881,287,
575,488,097,337,156,143,163,630,758,321,395,231,777,704,420,612,682,449,364,
464,435,602,281,038,471,118,164,177,141,864,333,819,254,521,668,591,452,087,
337,742,499,773,134,394,738,137,729,421,758,412,051,037,022,672,952,539,783,
151,069,042,863,059,027,437,164,770,488,547,927,235,138,940,954,832,446,683,
258,144,203,584,267,342,012,602,038,970,519,881,548,666,730,690,720,300,553,
931,995,803,929,872,398,120,274,338,440,530,191,005,461,325,933,792,425,633,
250,130,520,502,683,135,592,702,211,278,304,343,793,554,647,897,164,085,300,
095,564,444,642,887,035,173,156,482,286,790,516,200,760,907,815,643,844,077,
440,901,430,930,218,476,115,718,309,190,302,986,047,643,874,555,013,534,088,
873,644,989,159,396,587,250,265,825,340,429,362,776,275,416,463,509,154,359,
783,090,728,748,319,580,511,677,066,455,775,820,330,153,461,044,170,255,975,
683,803,057,753,327,228,583,980,557,866,021,100,650,746,611,341,418,398,175,
916,926,856,476,830,820,533,281,200,232,070,163,064,101,321,234,655,619,603,
743,218,435,830,709,541,964,636,052,573,490,413,375,799,194,641,736,622,537,
855,889,919,063,507,952,000,306,693,402,975,754,452,985,539,423,322,755,950,
610,039,732,103,082,965,937,240,524,551,042,685,108,745,253,072,088,396,682,
099,444,422,456,867,690,488,853,722,176,834,349,311,050,971,952,723,466,523,
985,660,978,327,120,587,998,515,731,412,351,828,573,387,857,585,477,148,462,
919,479,408,127,941,656,646,234,207,985,448,305,738,103,747,613,542,498,358,
623,081,373,946,202,741,966,194,454,193,315,342,429,599,628,489,657,799,453,
986,851,929,397,495,212,736,472,143,387,924,804,787,623,541,735,428,979,413,
446,578,884,705,007,079,926,108,456,630,396,833,324,291,035,459,698,707,281,
711,241,767,419,431,355,356,019,320,133,994,087,488,346,971,166,967,629,882,
158,048,482,556,255,700,404,378,694,671,163,428,697,685,977,511,861,263,987,
147,455,078,064,931,498,257,008,289,249,374,737,254,299,458,561,340,759,363,
710,223,659,132,342,246,869,849,482,327,169,197,511,074,332,881,725,251,070,
281,401,247,215,096,965,337,540,542,235,831,577,359,928,959,065,913,370,294,
130,097,777,144,812,043,489,641,927,633,170,088,666,693,011,381,998,168,205,
746,293,734,134,389,463,831,571,447,622,555,300,198,667,434,773,899,547,671,
994,046,231,621,779,827,735,808,345,500,190,342,797,814,718,304,638,367,252,
579,526,324,665,677,682,251,827,197,102,917,012,980,838,784,375,635,238,581,
354,538,905,924,342,679,373,676,681,270,886,541,917,338,215,707,981,026,347,
915,127,252,426,640,497,934,218,259,836,490,633,198,351,962,971,085,584,650,
159,795,761,265,380,090,635,555,968,765,117,262,341,013,389,840,938,610,956,
757,470,142,642,066,180,186,030,038,317,622,286,509,123,333,780,981,043,733,
837,770,623,969,305,931,892,617,137,548,173,663,975,565,380,652,415,855,216,
373,315,037,102,542,418,160,332,059,380,603,522,084,565,531,119,556,620,015,
501,833,094,557,791,902,259,146,925,327,074,567,619,821,222,430,034,549,075,
694,411,500,622,757,988,965,275,819,703,996,712,591,391,738,713,173,511,233,
827,442,795,959,592,504,899,434,628,247,170,419,644,761,324,247,811,344,406,
767,503,290,947,247,393,465,717,687,653,327,370,054,665,120,525,362,872,115,
136,665,870,106,396,303,328,910,956,325,751,294,683,263,346,538,855,337,454,
562,762,118,264,482,554,442,890,998,828,862,710,297,156,090,009,284,050,329,
642,777,668,660,817,423,157,298,848,366,020,964,734,846,752,709,751,997,512,
068,640,755,809,676,691,606,738,066,985,828,441,854,497,870,219,143,783,679,
114,956,666,453,904,959,231,379,528,379,134,719,453,414,946,937,840,011,290,
472,153,012,872,031,995,864,322,109,663,197,734,230,817,838,476,662,955,625,
143,318,958,261,582,621,226,649,963,647,916,315,631,247,236,505,316,608,202,
611,542,542,185,253,938,268,435,088,203,761,614,048,624,548,138,550,934,702,
098,304,384,639,524,339,729,181,918,611,470,600,035,336,996,032,283,713,598,
863,356,393,489,606,765,456,783,041,344,370,257,477,209,509,090,923,296,073,
047,576,327,848,151,674,698,253,432,553,195,239,633,821,531,993,812,129,435,
365,983,787,129,302,037,416,862,258,478,266,674,970,500,666,564,059,263,370,
568,800,881,406,734,470,165,370,877,520,714,640,141,938,120,468,629,146,472,
644,810,394,141,682,218,627,262,040,510,338,476,499,883,567,181,501,070,419,
071,273,811,921,401,662,318,353,561,476,225,666,335,373,718,192,859,593,310,
568,912,825,961,616,888,459,957,695,559,731,314,394,801,210,299,195,413,439,
035,027,954,375,794,464,424,137,791,946,973,540,598,024,135,016,157,202,706,
670,274,932,657,924,495,207,185,739,018,770,611,993,851,750,797,659,807,431,
366,886,612,047,397,544,471,156,713,015,653,379,043,490,194,636,395,740,915,
046,853,420,847,719,654,045,815,868,659,566,710,037,946,741,565,045,885,226,
145,026,226,830,525,268,483,024,975,396,819,225,815,654,775,422,432,772,322,
061,526,181,476,067,252,901,437,584,860,519,386,246,489,128,707,570,151,283,
592,265,270,460,940,869,530,828,920,086,518,672,047,317,774,745,757,527,034,
271,134,162,135,848,031,227,442,017,245,458,823,009,583,989,334,973,070,130,
612,172,199,800,029,779,049,863,651,514,512,836,787,765,342,574,927,017,219,
631,714,323,880,741,708,260,511,210,277,475,609,448,351,084,515,444,570,402,
862,959,884,844,854,093,813,032,343,491,968,245,304,155,249,344,792,590,237,
891,442,665,883,975,952,194,459,403,346,175,734,665,998,164,542,427,748,303,
021,483,669,119,439,589,857,219,219,514,789,410,748,470,658,169,226,117,447,
766,237,801,486,299,972,108,121,714,500,686,283,948,764,872,481,140,974,626,
178,152,565,208,262,178,680,163,402,628,515,305,202,825,843,088,945,223,393,
023,958,795,456,752,373,369,142,468,697,577,464,535,087,355,701,981,320,811,
908,596,290,473,155,192,672,598,879,905,002,543,628,307,384,550,394,444,676,
879,983,838,373,030,744,688,983,017,177,810,705,325,711,076,954,366,389,282,
372,889,759,677,908,683,255,989,274,740,844,777,577,689,665,286,256,228,695,
844,898,864,179,913,560,063,252,665,696,167,701,689,121,531,652,148,205,821,
628,981,985,207,142,017,671,118,239,129,124,182,308,763,283,909,099,103,908,
563,997,579,294,051,006,318,357,955,377,242,990,680,238,287,803,954,945,932,
261,269,569,929,149,156,200,800,007,793,670,472,520,904,827,145,637,482,518,
448,649,319,002,078,747,508,112,605,845,086,702,347,150,883,061,939,100,031,
712,353,297,399,490,551,753,621,862,666,771,175,389,603,227,389,561,412,628,
800,156,556,436,797,387,261,729,902,285,995,349,208,877,147,517,610,628,977,
325,940,503,112,367,406,327,752,871,195,904,153,561,061,245,861,015,861,687,
939,360,599,112,460,815,697,352,578,625,083,374,177,632,705,171,280,987,576,
073,291,883,811,459,553,663,759,304,574,338,236,871,533,168,659,916,961,064,
639,865,235,247,873,172,196,191,410,641,110,436,664,797,296,915,954,325,289,
580,353,282,425,329,299,312,501,836,572,820,209,530,214,438,348,379,645,426,
012,599,119,650,128,843,513,830,616,230,167,598,817,995,530,405,325,962,476,
629,068,929,873,797,767,754,296,414,459,984,785,858,417,784,319,472,643,616,
212,972,592,495,221,881,577,563,928,605,904,006,589,783,339,212,259,696,694,
187,332,573,209,565,962,737,609,220,896,603,807,171,916,403,462,023,058,404,
661,306,273,559,963,882,077,176,009,417,435,214,927,184,136,986,244,311,027,
114,278,723,208,853,756,554,183,218,960,136,894,249,519,654,933,837,828,808,
304,506,013,221,104,992,476,196,126,996,261,321,057,367,108,834,700,024,538,
001,897,026,153,714,188,888,335,704,528,710,833,528,703,519,135,696,925,415,
746,089,589,989,108,948,064,470,790,909,988,927,382,346,033,510,131,322,510,
524,112,219,240,337,863,690,893,828,998,412,857,819,255,137,483,685,853,609,
535,154,648,027,017,085,361,822,239,202,310,496,334,132,209,026,620,591,300,
184,514,598,003,661,266,933,593,607,514,827,323,422,140,797,629,782,978,625,
779,419,553,741,573,886,193,759,955,666,523,488,793,569,262,495,097,908,789,
722,579,642,726,305,194,047,310,651,434,926,343,459,966,930,583,252,661,951,
677,303,155,122,974,883,186,781,177,159,287,143,819,140,614,645,406,591,273,
474,090,179,157,102,404,025,959,588,542,128,080,861,557,716,186,433,709,133,
138,617,143,725,596,471,033,088,599,145,460,890,910,300,601,641,347,483,865,
485,564,304,871,582,575,602,208,784,327,154,000,186,701,873,732,790,731,281,
102,780,162,033,730,162,467,196,472,901,972,262,346,466,635,672,564,657,780,
660,198,628,716,612,125,483,893,769,926,737,099,009,034,822,127,973,571,892,
160,207,770,858,674,482,112,760,705,077,598,631,561,852,156,425,597,650,010,
835,589,194,046,930,824,253,142,534,606,360,344,199,374,067,450,844,258,848,
819,798,039,574,645,201,243,819,293,419,112,783,010,874,684,654,737,282,049,
299,347,099,932,378,844,373,927,502,175,042,189,566,020,036,191,562,659,535,
032,454,011,337,790,877,108,586,681,453,052,845,400,011,064,723,404,627,406,
323,113,815,271,566,220,156,090,944,017,006,529,111,285,582,271,755,391,715,
680,914,659,696,470,085,511,062,361,374,958,369,028,739,698,852,015,643,144,
037,413,077,681,370,302,804,361,983,027,486,542,612,276,174,628,155,016,949,
373,232,579,767,831,768,921,689,440,794,745,614,469,732,875,103,862,010,873,
608,086,372,779,186,277,373,681,013,777,834,158,323,957,602,180,012,274,829,
769,485,424,129,740,330,470,550,399,408,974,920,811,878,069,429,451,155,602,
555,071,839,562,605,370,854,189,647,903,312,647,359,047,905,872,409,225,768,
357,879,637,236,582,619,434,881,220,497,133,302,647,727,708,508,733,126,966,
826,701,477,709,295,187,420,854,679,929,043,765,700,257,293,688,427,507,154,
958,765,433,808,257,861,901,969,090,478,095,645,696,091,737,311,096,256,563,
366,924,395,444,150,321,882,058,946,031,982,218,774,914,580,964,187,613,695,
121,946,124,053,551,139,713,005,423,926,237,701,564,244,813,662,565,482,181,
673,424,280,463,423,989,438,192,711,234,241,051,819,645,949,342,573,739,016,
673,718,979,862,192,714,964,674,220,308,328,842,182,246,691,181,595,584,104,
365,846,190,761,797,263,782,616,332,702,104,373,569,390,008,693,214,732,407,
119,324,730,731,887,717,749,219,979,942,619,764,092,746,939,725,850,751,453,
733,022,186,825,315,003,973,773,342,508,433,935,580,102,432,102,464,988,613,
707,681,434,788,706,373,843,325,681,812,020,853,228,780,699,804,223,895,567,
903,923,889,666,802,942,230,883,509,472,935,314,612,926,384,315,659,073,953,
346,529,824,837,708,720,159,501,508,894,615,475,809,574,496,062,901,105,836,
966,565,514,438,465,996,892,104,389,966,545,845,676,228,941,975,672,726,366,
206,210,217,735,393,040,431,733,030,594,871,440,863,655,462,170,014,267,645,
461,366,657,440,162,832,767,732,255,775,834,197,139,796,303,780,266,721,095,
541,617,248,571,985,905,260,556,350,159,942,823,234,634,590,993,924,097,915,
341,216,482,255,401,690,277,526,912,979,574,567,334,671,030,910,167,667,310,
199,549,597,066,492,275,166,186,998,045,470,901,230,819,098,235,770,962,695,
741,252,642,161,109,558,047,513,210,498,978,855,330,985,493,896,257,087,297,
576,441,235,972,579,891,103,977,570,802,868,322,492,034,672,504,276,069,171,
612,642,310,170,125,746,441,206,227,785,560,096,895,611,803,194,266,561,649,
971,161,947,294,235,518,681,891,375,374,205,852,559,054,600,042,641,490,951,
270,426,138,441,391,535,606,356,521,288,966,547,927,145,979,097,682,429,644,
045,345,233,341,385,690,622,153,434,796,745,156,196,298,729,232,631,190,548,
519,498,453,832,291,889,867,201,828,176,811,333,166,795,768,527,035,324,191,
425,175,125,058,225,756,899,729,313,250,081,357,981,905,934,350,208,509,298,
865,644,464,542,319,793,279,235,271,915,397,652,003,578,466,391,955,183,439,
735,039,857,815,076,880,402,470,109,100,769,887,827,735,735,950,483,522,231,
060,202,915,825,240,098,026,121,617,790,069,150,038,428,379,545,638,370,425,
338,962,855,662,289,262,969,104,982,130,859,703,794,561,167,763,127,052,519,
559,394,915,169,623,964,525,010,979,051,162,852,770,065,997,541,719,767,117,
087,597,884,577,921,415,875,080,618,408,826,426,700,728,488,117,528,318,396,
222,134,684,485,023,277,941,056,866,146,695,242,078,076,413,443,487,105,240,
328,192,145,023,371,261,828,918,543,441,482,385,160,995,248,306,778,882,579,
916,690,870,714,418,444,857,918,103,218,927,722,275,131,885,645,834,686,900,
271,301,259,353,325,732,133,286,371,974,848,737,384,532,519,950,414,142,198,
364,140,305,132,975,509,750,022,698,882,155,336,552,749,237,701,045,660,486,
564,773,269,509,102,291,080,777,853,441,244,555,035,618,618,255,800,704,113,
281,969,184,828,082,586,371,636,871,665,165,939,907,621,565,072,940,253,387,
259,367,619,443,385,767,913,787,009,146,653,005,143,892,935,274,276,411,980,
453,787,136,349,273,939,425,391,578,406,293,947,615,596,131,096,222,261,005,
139,262,223,503,733,501,963,984,285,842,664,389,555,626,655,169,577,547,494,
550,339,877,074,916,817,605,580,801,516,715,073,785,631,340,484,396,795,619,
261,160,064,276,078,207,721,415,452,077,386,683,386,788,087,837,196,616,557,
665,327,214,505,173,285,030,018,031,798,693,305,314,924,983,150,926,975,486,
983,284,614,522,199,320,652,867,359,423,872,655,003,693,437,265,767,557,564,
235,003,198,586,441,405,610,032,039,861,762,678,090,185,095,279,468,052,241,
298,001,669,051,550,998,358,524,924,877,271,272,454,417,670,566,649,813,980,
662,171,590,065,413,676,809,595,009,005,599,250,595,274,069,203,501,183,181,
335,528,199,147,152,808,781,590,929,157,376,205,474,074,333,453,355,967,191,
968,130,214,851,205,657,100,956,157,945,415,413,543,296,534,821,233,245,559,
946,983,934,356,615,963,751,487,125,256,017,042,192,131,558,138,143,506,332,
790,460,708,452,367,406,286,202,141,925,130,876,873,439,464,558,485,380,723,
932,561,594,234,513,024,031,490,222,429,220,209,142,304,593,678,932,547,925,
610,845,546,695,335,848,751,601,611,113,767,322,445,736,498,149,881,984,788,
590,651,410,904,411,919,555,698,066,178,505,213,255,961,694,578,234,913,207,
004,738,121,246,782,687,781,216,550,273,193,253,902,227,320,434,808,190,541,
645,674,926,650,086,276,062,809,651,077,866,682,079,149,474,712,490,982,438,
319,086,279,517,181,896,157,022,761,331,694,668,793,772,950,009,396,572,422,
729,901,564,736,712,715,704,201,516,517,764,069,991,390,717,071,034,187,764,
508,145,876,435,896,449,627,388,416,313,888,788,657,440,511,030,231,774,170,
072,329,566,769,994,286,704,517,711,527,168,379,533,789,648,061,192,628,727,
999,070,189,510,048,477,749,379,533,280,024,540,538,293,854,998,481,467,901,
862,886,937,989,067,498,497,319,798,618,927,940,176,991,415,992,734,517,627,
061,616,536,650,777,062,843,269,871,990,759,512,363,649,619,864,420,154,861,
262,764,141,487,724,303,856,421,274,644,324,569,160,001,183,227,475,422,060,
860,844,430,807,682,066,338,170,870,667,780,534,795,773,969,775,038,791,932,
950,404,501,172,994,372,733,361,335,181,073,907,774,358,360,124,582,301,773,
132,597,847,435,876,259,922,282,495,158,733,422,112,136,841,733,188,919,974,
725,680,208,384,734,400,345,239,947,420,671,314,641,794,659,590,419,304,106,
861,246,242,513,990,003,745,254,988,752,701,906,568,349,503,151,090,574,974,
099,640,838,682,049,684,023,383,998,228,706,947,526,610,113,812,888,120,066,
397,758,067,102,099,033,770,283,021,102,999,794,765,517,834,919,352,843,407,
886,019,703,233,136,808,021,979,975,279,078,554,053,479,526,380,869,687,447,
566,970,583,069,764,885,623,941,524,302,980,899,350,476,537,434,306,359,415,
625,639,879,423,775,092,990,080,575,967,058,299,118,006,882,493,765,249,042,
181,598,747,681,632,574,875,298,018,260,106,067,977,182,796,405,747,974,879,
800,937,214,828,568,535,942,202,031,103,091,433,006,955,331,938,125,560,702,
212,248,526,695,546,840,210,765,666,158,870,698,775,050,406,557,558,873,541,
400,064,250,197,948,479,341,897,106,430,801,118,518,204,830,816,650,060,390,
304,198,515,964,253,049,726,635,077,590,255,434,359,787,870,615,497,341,788,
607,226,586,530,698,657,272,184,621,304,345,690,674,780,717,679,787,020,877,
656,789,482,700,667,633,034,410,293,768,755,060,639,822,466,777,875,335,666,
060,223,626,493,932,245,700,912,226,702,581,413,514,892,349,931,878,267,796,
452,343,037,111,083,533,241,160,605,210,299,800,567,890,095,897,008,411,557,
424,215,046,208,388,625,181,713,950,258,894,078,935,103,628,292,145,252,962,
466,520,421,195,055,322,443,204,066,952,593,539,772,621,106,474,926,161,268,
992,177,969,489,303,542,170,019,643,907,209,954,304,495,584,474,316,020,459,
191,786,290,268,178,332,433,003,657,117,739,785,398,873,150,026,141,353,627,
952,996,454,260,379,703,942,127,643,204,029,617,366,724,641,347,604,949,297,
318,425,873,735,935,102,777,372,192,337,416,363,230,508,528,230,212,540,869,
239,264,247,434,228,035,489,373,567,592,065,510,427,316,929,264,917,793,877,
559,610,997,167,918,668,169,610,129,227,802,827,687,362,935,451,674,001,672,
743,390,299,682,120,097,128,444,926,058,587,629,008,213,638,332,495,518,601,
479,690,344,183,788,074,047,855,225,093,286,034,278,296,333,885,801,467,555,
594,635,192,490,983,960,680,451,007,658,153,721,685,743,509,671,540,699,493,
976,945,328,459,817,769,697,662,235,573,121,696,085,094,268,458,979,241,811,
011,078,089,173,648,406,075,128,240,357,232,054,975,075,819,817,677,737,919,
916,310,903,436,238,139,109,750,600,902,363,231,317,900,511,149,749,995,058,
765,951,076,918,106,800,838,826,729,037,767,702,593,743,580,188,062,910,851,
892,999,434,780,523,224,168,467,308,893,895,822,678,763,433,635,593,734,218,
156,151,725,902,002,694,560,091,291,561,932,996,272,670,019,439,909,524,050,
404,909,756,244,072,887,090,238,693,972,737,743,697,630,255,204,094,218,167,
966,190,025,708,896,728,812,639,116,148,718,509,799,486,010,070,430,192,255,
411,099,696,227,329,501,961,054,833,082,332,113,395,781,766,013,466,768,818,
746,136,764,183,860,870,704,918,249,683,899,097,697,727,994,598,835,092,260,
610,667,135,709,748,780,572,928,739,281,339,952,829,683,654,176,545,154,172,
202,609,981,591,145,799,173,482,141,501,253,944,825,100,924,358,413,451,675,
086,108,388,892,125,870,873,062,505,269,703,209,290,762,337,762,170,871,250,
823,883,281,134,009,549,673,815,010,995,708,788,132,139,861,345,853,872,401,
914,743,646,958,476,722,880,524,317,861,764,593,996,551,258,274,354,908,124,
469,737,644,227,914,716,246,197,841,794,785,601,240,106,836,972,895,396,985,
892,001,265,834,488,713,517,477,549,691,998,965,592,791,633,083,961,879,495,
410,590,820,109,361,106,945,731,806,220,211,172,829,261,450,573,768,376,782,
661,393,263,254,754,868,123,861,599,661,137,540,400,197,571,799,633,839,316,
934,358,842,044,313,434,266,889,259,740,678,927,755,933,821,457,472,499,308,
405,811,610,414,160,863,741,866,662,639,842,043,407,315,055,593,936,902,556,
575,711,541,448,186,693,018,847,777,170,833,153,839,898,696,227,592,640,881,
657,880,534,723,858,392,923,546,098,178,040,684,802,726,760,296,955,134,551,
284,163,328,788,119,060,289,327,937,697,782,667,417,470,659,729,803,137,374,
573,018,132,146,879,381,281,257,759,983,936,890,446,833,238,284,368,953,870,
368,402,790,767,031,287,266,609,581,531,243,845,487,472,522,524,416,865,837,
505,842,557,086,797,430,565,787,246,670,488,794,697,506,372,343,896,845,573,
497,610,890,701,659,763,765,637,034,073,830,336,595,813,062,874,612,638,821,
800,927,847,969,832,880,722,074,445,406,598,625,526,334,003,865,724,753,315,
743,165,487,774,206,169,089,872,958,220,541,452,326,122,796,294,112,015,606,
167,596,983,523,362,107,544,126,735,093,621,546,055,860,458,931,533,921,536,
353,976,568,330,188,089,926,035,706,839,909,987,221,016,110,316,694,099,113,
362,152,046,445,162,409,434,471,310,466,915,820,135,666,389,611,919,373,975,
398,370,155,135,462,816,731,349,875,252,565,799,343,860,886,084,241,015,805,
392,675,554,635,628,091,575,461,550,335,611,695,799,616,653,846,761,157,924,
783,154,754,073,608,563,303,377,025,963,373,698,744,955,943,739,587,885,765,
868,987,436,708,438,479,823,706,329,446,793,022,236,946,804,241,781,041,883,
196,257,069,147,366,318,672,770,434,414,081,824,842,044,755,145,170,026,960,
984,608,729,275,575,110,388,025,472,517,905,509,129,748,579,981,123,582,369,
889,010,041,264,972,878,419,347,707,812,406,683,442,962,946,324,297,999,989,
297,258,664,592,949,355,179,421,380,436,179,017,982,693,567,401,367,890,335,
067,619,727,700,531,946,125,909,438,318,769,830,066,916,046,381,386,634,677,
287,568,811,831,507,352,203,830,897,332,705,863,719,005,787,915,711,574,466,
381,079,766,886,965,362,396,509,957,877,102,375,817,642,308,746,243,782,453,
172,175,957,044,120,815,611,799,758,087,365,293,464,398,172,015,469,349,624,
747,475,609,853,993,105,069,606,969,741,965,807,543,126,283,713,117,867,635,
727,838,982,459,997,860,472,855,103,354,008,782,423,203,537,329,805,940,210,
709,965,405,235,620,829,563,082,487,307,351,488,892,620,252,146,469,842,610,
417,287,502,470,018,025,953,751,110,609,939,001,902,728,291,948,686,234,342,
424,345,615,266,523,374,472,902,428,740,115,513,983,960,998,216,475,040,530,
726,163,972,744,530,077,788,043,601,356,680,274,981,930,284,733,036,191,020,
725,441,329,406,389,492,051,739,738,405,289,301,995,355,226,853,413,136,649,
220,651,343,463,409,234,016,780,283,733,375,662,201,143,356,308,032,591,394,
451,640,194,959,715,903,895,576,793,583,905,703,805,276,337,933,345,397,364,
092,009,568,831,265,430,618,836,792,752,208,300,768,302,793,040,183,013,555,
150,268,973,746,400,092,321,952,166,265,894,222,017,000,657,467,493,580,228,
648,450,461,512,033,148,835,721,368,795,669,508,289,181,510,175,178,987,961,
533,511,785,313,411,865,946,581,355,003,967,615,835,673,661,651,068,485,082,
935,284,828,680,173,411,242,874,302,226,849,582,014,184,753,277,625,410,554,
714,935,748,441,155,143,392,329,467,439,917,617,764,620,142,041,879,292,954,
216,611,563,280,004,536,162,184,123,486,630,181,977,425,264,992,094,028,805,
981,831,750,031,364,874,216,954,795,706,641,887,257,553,745,167,517,759,034,
950,386,275,227,820,505,123,816,823,000,021,630,099,428,201,129,275,207,208,
092,059,859,700,169,667,011,114,535,132,400,235,329,978,488,801,876,981,007,
158,816,956,971,183,385,338,067,312,766,191,226,366,229,259,960,356,813,176,
046,253,446,822,360,299,881,890,052,110,844,928,368,621,439,327,531,049,241,
360,667,367,445,982,644,578,193,806,317,717,514,883,248,559,580,407,740,186,
919,786,301,223,477,085,559,268,378,792,899,764,266,676,897,841,769,841,571,
170,597,725,466,226,527,685,141,669,669,303,463,957,287,709,480,351,809,474,
994,098,393,584,102,696,339,046,166,531,532,871,214,305,619,782,210,993,921,
214,180,536,396,946,228,831,355,955,893,832,580,939,279,791,297,681,820,428,
633,660,559,527,779,953,679,236,152,943,095,444,878,312,141,015,954,071,529,
872,364,002,856,155,674,590,925,230,176,182,879,347,114,761,866,309,260,335,
626,243,186,599,825,232,952,036,841,882,770,347,875,357,686,792,163,759,974,
438,331,122,313,861,973,625,507,591,300,049,680,205,659,412,576,220,466,537,
101,861,735,893,191,992,705,931,271,503,259,675,739,330,272,103,453,167,302,
786,258,278,083,299,734,452,045,423,531,656,527,738,790,110,869,092,403,465,
604,375,554,462,939,900,496,175,595,224,477,547,306,586,888,034,648,930,869,
521,416,189,161,350,799,689,075,194,375,115,456,495,620,846,286,541,576,269,
489,767,291,132,576,060,776,426,221,465,037,539,211,836,274,332,955,666,217,
163,074,516,393,561,965,302,962,781,672,359,998,883,932,602,559,512,284,016,
893,074,419,730,338,727,745,301,746,343,558,242,744,419,500,410,699,487,817,
809,916,321,928,664,709,968,602,826,364,154,492,922,737,469,948,197,615,951,
354,695,127,464,260,871,491,698,775,231,097,131,938,300,107,426,807,894,999,
900,820,056,784,437,031,148,214,310,889,658,805,776,333,609,007,539,417,695,
783,736,865,935,823,425,368,183,199,026,773,341,823,637,093,229,908,622,324,
448,269,875,304,377,632,988,680,941,136,831,539,719,785,519,979,262,200,163,
533,962,306,558,242,226,914,053,170,417,965,450,797,407,809,505,836,344,867,
537,586,726,535,788,979,658,930,743,001,958,913,226,519,061,666,240,522,250,
090,999,732,915,225,048,958,456,912,150,775,217,685,126,239,841,722,785,135,
124,845,905,067,039,037,849,154,308,250,588,583,046,383,331,077,926,376,727,
094,478,244,368,920,675,748,016,722,215,965,835,748,175,194,207,727,771,242,
377,962,323,701,649,631,608,801,009,953,748,671,757,751,969,570,854,406,124,
561,795,413,816,106,864,992,434,708,240,161,026,694,930,798,553,048,454,516,
618,867,218,242,559,483,957,928,726,412,574,850,528,070,731,622,562,119,628,
333,419,192,983,476,419,972,959,814,303,321,088,534,907,332,757,067,954,560,
602,152,892,723,276,562,546,495,921,788,556,873,859,789,502,194,518,701,829,
706,278,118,225,275,423,099,933,916,070,525,106,977,614,189,928,954,025,821,
912,041,056,448,988,520,095,194,508,185,379,360,723,745,152,431,025,847,396,
004,965,688,118,181,753,134,365,938,970,479,085,128,322,985,693,899,255,176,
033,387,505,622,155,548,189,082,221,184,646,650,287,123,159,059,828,042,150,
608,448,598,660,035,665,523,145,211,626,261,496,456,669,671,772,523,245,179,
605,331,084,950,805,389,495,797,102,939,098,515,050,245,660,234,349,150,402,
902,234,211,916,047,863,068,332,899,174,985,556,409,625,453,047,192,012,105,
618,178,622,365,632,162,704,655,067,294,802,991,521,488,708,976,071,778,479,
152,699,220,042,586,865,518,634,395,158,150,237,664,266,400,544,557,716,951,
702,215,031,147,829,586,755,669,556,640,521,602,519,285,218,334,735,576,422,
521,466,907,604,313,480,162,611,382,953,199,398,383,537,186,282,189,012,660,
414,420,490,997,051,314,994,038,704,128,812,079,149,899,070,500,462,076,022,
209,221,505,375,680,130,434,980,332,476,134,688,528,524,876,347,888,581,965,
038,522,741,428,232,522,995,331,353,450,279,675,806,570,421,889,360,529,989,
453,298,752,531,576,367,701,944,234,628,294,689,124,412,507,083,327,963,237,
662,010,396,416,949,927,540,752,216,968,023,426,347,840,093,588,182,467,447,
817,066,660,129,013,689,371,861,535,572,986,339,558,383,476,423,266,870,957,
835,513,092,036,077,449,919,438,713,156,152,475,549,525,062,917,410,487,193,
157,465,623,011,384,110,081,030,987,081,344,251,280,750,597,052,289,811,218,
858,807,169,981,652,802,656,584,773,320,720,311,043,914,233,395,807,820,619,
480,883,460,829,959,804,787,076,117,438,634,296,753,678,145,898,005,031,057,
555,524,465,054,748,641,759,193,245,594,401,705,115,935,194,110,909,519,626,
547,380,328,055,508,613,692,980,105,133,396,014,802,313,549,968,700,139,571,
305,828,345,027,521,823,209,322,219,679,016,579,112,552,343,453,677,316,687,
281,377,895,023,847,154,615,522,065,664,563,048,334,630,773,228,850,093,954,
171,030,087,200,118,701,373,273,945,174,600,263,964,274,964,958,737,360,896,
648,447,898,420,688,012,552,487,859,605,901,597,130,145,113,901,765,260,174,
770,041,192,066,206,809,412,545,247,715,139,498,028,308,475,058,104,602,862,
193,065,694,334,630,172,797,789,015,349,203,207,762,938,674,795,840,153,314,
591,149,607,202,031,243,434,715,580,011,441,164,248,927,566,426,979,406,289,
731,312,977,933,417,736,852,936,872,818,722,531,301,967,147,981,631,799,873,
017,528,419,817,193,788,398,275,631,715,823,902,889,098,093,099,807,463,881,
017,282,267,566,201,236,210,828,469,707,251,872,544,296,026,601,213,803,384,
044,314,178,423,048,012,344,244,137,904,391,015,505,576,304,309,882,755,696,
522,452,398,308,412,749,138,050,883,005,188,471,960,493,864,505,577,950,568,
066,681,103,882,078,507,651,965,638,729,522,532,039,382,063,940,749,255,936,
929,064,359,730,830,545,250,607,807,287,538,042,483,998,478,433,651,834,144,
794,118,809,139,123,481,254,360,670,627,475,461,291,067,096,535,167,123,672,
391,043,805,590,190,428,304,139,676,110,389,254,694,811,036,803,581,662,034,
606,296,173,170,147,597,388,763,237,405,824,144,215,205,561,102,638,466,628,
185,825,214,518,659,670,262,834,522,973,001,550,172,973,453,007,505,936,734,
952,428,036,280,062,495,257,799,521,164,695,129,987,613,343,386,216,255,954,
502,578,328,161,531,624,220,647,811,662,209,021,755,715,327,926,766,323,502,
757,581,748,562,047,168,077,473,216,163,269,090,350,906,620,221,263,101,311,
680,951,669,193,289,858,347,864,219,853,163,079,485,420,327,527,586,793,772,
213,399,531,194,770,942,457,617,951,188,910,069,941,622,775,211,227,761,010,
358,187,674,089,776,065,016,886,859,573,465,716,471,897,031,096,468,081,559,
398,372,738,126,367,293,895,748,632,918,874,937,044,359,809,814,893,751,478,
900,190,140,885,910,949,668,253,918,773,193,377,227,413,345,387,732,896,933,
408,686,577,486,557,082,973,325,623,502,950,091,525,360,710,861,352,038,882,
428,552,104,966,181,768,372,746,691,197,208,592,901,937,230,288,933,237,897,
183,657,529,654,455,259,251,608,802,429,916,725,772,663,381,521,819,693,129,
966,212,382,041,959,780,472,757,773,605,688,105,328,296,352,343,809,157,352,
826,573,235,905,663,298,426,411,329,669,810,444,182,950,103,639,514,468,351,
658,710,293,165,747,751,423,093,808,334,383,837,640,156,582,706,913,886,910,
522,957,865,737,092,069,261,275,485,286,128,221,353,100,705,230,183,223,573,
150,782,938,373,154,398,039,233,950,901,724,713,892,063,914,775,004,821,603,
610,227,757,394,213,638,823,198,068,301,417,543,143,271,834,711,406,973,774,
722,131,297,789,658,012,046,072,712,771,130,350,589,212,904,713,374,589,926,
448,532,331,723,072,466,585,913,907,968,281,774,297,643,921,691,176,443,993,
084,636,484,699,896,853,696,280,794,333,432,655,672,250,328,810,650,712,372,
065,469,178,597,243,279,462,812,325,764,107,499,595,257,236,898,108,170,797,
065,309,618,840,519,035,248,893,513,899,440,709,539,034,864,798,678,659,643,
773,104,989,197,674,285,551,216,791,804,469,987,837,986,885,183,377,934,177,
198,343,241,933,537,322,321,524,010,429,056,698,208,747,117,578,441,991,857,
884,326,222,437,908,513,612,375,286,708,584,873,112,499,347,845,203,830,470,
708,389,966,012,303,055,573,986,662,770,211,856,802,945,916,601,788,963,712,
905,856,839,835,350,763,385,417,165,443,790,180,242,430,661,688,862,350,447,
508,473,360,391,928,784,918,778,853,513,183,557,974,617,325,867,996,484,695,
826,628,887,398,154,499,100,748,896,061,170,332,058,180,441,584,614,277,912,
230,299,957,764,173,594,756,462,641,029,829,863,731,193,819,243,660,362,279,
151,503,997,880,557,010,984,302,201,105,140,008,695,280,029,894,736,097,883,
295,170,974,177,744,634,035,880,474,747,537,962,142,797,780,917,920,150,014,
583,465,186,425,347,295,491,403,528,778,161,499,404,425,825,053,603,881,522,
100,193,377,785,395,595,940,881,886,815,490,632,290,564,580,684,518,673,560,
910,518,854,326,063,778,714,172,317,804,455,761,607,881,595,561,594,778,016,
047,161,152,233,808,042,128,740,894,091,953,226,149,144,785,617,875,528,699,
986,601,590,783,148,065,081,104,781,978,239,771,495,903,326,981,237,730,238,
113,271,587,522,665,967,000,560,639,476,629,163,470,193,473,076,010,666,796,
631,392,164,975,156,310,961,157,726,240,795,816,516,160,372,750,873,206,041,
801,975,159,629,777,716,611,260,050,552,939,146,649,487,625,690,787,344,621,
310,605,550,426,100,863,709,883,934,970,980,172,220,618,196,124,603,201,997,
885,342,536,058,037,968,716,303,986,802,000,332,707,217,493,920,207,745,191,
611,905,782,173,684,968,692,707,803,760,123,419,223,397,145,923,717,780,814,
144,384,531,917,197,240,492,740,784,462,365,899,093,483,631,790,896,887,813,
418,327,887,085,029,517,650,518,638,744,613,875,352,501,611,129,869,887,092,
678,998,565,865,101,191,587,257,092,039,982,766,407,437,780,207,088,072,838,
815,337,454,417,400,916,627,540,316,817,192,141,221,379,936,939,321,683,819,
263,980,745,196,344,626,494,810,249,664,272,490,801,606,429,296,424,633,825,
971,216,033,497,978,087,245,567,287,812,860,556,088,208,844,027,720,812,975,
122,867,381,311,521,247,258,241,850,100,559,083,549,603,774,742,117,899,619,
227,647,074,540,225,268,152,201,606,707,057,297,159,305,464,787,787,901,557,
008,100,958,534,615,399,856,790,131,486,943,166,712,933,055,437,310,947,971,
251,681,189,082,866,626,123,747,255,134,941,521,603,146,893,538,260,243,124,
531,604,461,990,558,839,558,813,176,667,811,832,745,738,363,464,473,288,263,
525,571,975,561,822,774,784,525,978,835,752,836,470,641,255,755,911,026,409,
286,355,118,693,468,031,515,618,555,262,949,249,357,310,708,973,365,180,613,
801,373,200,827,243,733,405,342,284,116,221,166,849,713,258,249,296,897,532,
220,208,959,141,506,816,014,796,761,346,941,176,831,721,180,951,773,489,969,
774,470,795,988,859,001,712,457,597,980,248,800,739,120,269,054,756,441,396,
979,458,700,112,325,464,129,760,524,745,388,693,109,871,217,055,143,446,970,
249,793,309,445,739,642,466,381,706,166,160,079,897,552,794,388,430,580,118,
538,679,141,176,015,617,913,657,084,730,727,012,113,410,101,890,035,927,954,
316,142,055,979,586,288,749,254,598,551,846,387,845,202,008,800,591,551,530,
121,849,629,293,095,981,305,003,116,531,730,139,473,420,473,909,456,143,549,
849,079,416,929,438,173,901,006,535,048,408,590,088,113,688,444,696,019,576,
050,543,487,648,447,112,850,479,519,188,743,079,735,103,319,849,318,399,366,
882,184,033,804,856,497,040,491,626,674,482,537,689,663,093,070,718,632,264,
362,077,286,413,018,819,194,041,321,745,988,240,363,820,117,326,562,046,837,
625,052,452,035,228,491,245,357,638,922,419,953,473,446,615,102,522,360,496,
934,107,177,207,218,197,965,035,346,527,886,841,345,442,487,797,434,210,644,
054,087,104,437,666,497,880,560,944,529,137,383,832,512,865,762,405,414,201,
673,045,034,202,628,073,970,373,745,203,704,750,014,509,929,523,155,613,106,
672,450,240,668,359,477,853,877,675,455,204,075,800,071,814,177,237,772,543,
921,101,518,524,423,890,387,088,766,871,013,630,740,905,677,460,433,251,259,
569,211,446,317,444,272,095,655,483,693,716,462,471,122,575,830,194,743,595,
628,018,279,747,944,449,995,721,942,864,416,856,049,766,281,920,201,033,304,
013,845,691,457,495,101,487,614,098,430,290,365,988,751,464,488,153,840,283,
063,734,846,034,191,417,059,981,410,472,287,058,420,190,580,527,105,884,255,
898,228,797,284,354,362,945,134,189,629,694,664,803,785,001,568,989,704,811,
999,842,240,618,494,195,979,905,118,979,027,149,368,828,130,423,433,840,138,
150,626,882,707,688,770,234,688,580,118,519,631,304,211,530,606,904,600,801,
655,463,457,187,855,103,551,115,271,683,183,188,938,083,580,510,112,095,155,
005,141,528,916,575,859,572,600,321,940,907,209,831,335,154,357,876,651,430,
570,695,919,810,397,051,669,314,170,114,365,766,040,979,896,567,597,398,701,
197,135,564,145,129,939,488,719,466,219,295,633,506,444,158,606,451,692,782,
679,578,720,611,377,430,235,069,398,159,999,499,391,318,718,438,358,811,030,
154,941,531,229,318,245,648,142,332,686,651,785,456,946,338,792,008,770,075,
548,604,913,757,809,275,099,932,138,051,958,365,082,814,946,772,732,424,693,
352,947,761,509,897,301,920,096,623,545,660,566,068,584,286,953,341,162,918,
968,879,858,118,465,689,995,046,085,228,585,445,183,718,124,904,821,876,173,
948,769,705,817,721,612,516,834,257,730,685,848,136,765,358,275,632,539,309,
350,475,456,753,184,595,794,756,407,686,196,680,873,772,733,101,474,332,776,
654,995,625,841,540,547,196,682,065,407,313,841,969,736,860,154,501,928,551,
960,539,595,836,442,380,702,144,287,177,702,989,751,563,500,911,261,109,263,
530,516,986,233,398,923,571,163,483,507,637,220,051,695,045,515,055,458,854,
437,929,876,027,626,768,983,857,457,568,184,868,027,786,466,885,239,359,017,
724,059,024,166,480,359,279,725,078,084,762,287,607,961,229,664,821,710,178,
193,163,968,879,248,860,320,380,536,625,840,707,557,755,523,098,925,993,357,
936,604,278,548,018,935,565,108,908,307,344,285,085,339,109,914,366,001,312,
138,460,018,247,243,134,869,738,104,856,425,994,260,260,876,647,532,112,257,
278,178,662,217,004,216,029,386,740,462,474,488,577,419,322,074,813,867,257,
291,775,565,926,254,940,930,567,228,672,460,402,824,786,222,959,138,888,838,
163,842,369,977,691,780,521,125,795,062,439,524,483,376,782,187,556,842,603,
765,767,906,869,249,389,928,143,769,598,892,305,505,323,491,601,725,252,340,
964,637,162,465,387,507,513,216,587,173,627,319,947,286,950,506,431,893,858,
054,816,993,038,170,758,203,446,294,113,756,865,495,958,615,359,652,685,598,
080,169,949,461,809,589,804,906,641,004,921,245,567,627,697,805,770,751,390,
568,552,846,262,190,912,625,910,449,715,638,131,780,973,386,485,888,201,766,
516,063,562,928,855,050,600,158,062,670,222,039,217,874,281,636,211,404,992,
429,818,066,649,066,774,976,260,582,435,329,820,583,743,348,294,478,858,931,
901,252,843,032,564,520,890,078,429,636,687,314,468,573,982,949,176,839,591,
975,617,477,496,939,160,837,508,645,306,513,032,120,532,412,050,389,423,335,
430,916,687,764,638,147,712,751,314,153,893,264,603,642,012,983,743,390,604,
239,890,881,015,413,225,969,421,335,581,588,421,261,340,168,066,020,289,393,
006,902,801,455,716,805,742,887,715,890,196,470,875,193,964,040,446,638,211,
359,427,321,204,540,917,336,704,949,349,097,547,783,663,814,553,156,949,829,
618,581,132,415,231,794,788,465,721,256,445,774,429,118,344,327,866,587,756,
029,186,119,814,820,290,703,576,269,465,737,907,782,853,061,156,978,085,152,
609,063,318,771,190,129,362,413,376,977,684,063,578,419,442,028,330,833,595,
235,501,715,555,405,346,934,557,656,309,152,532,141,680,441,880,798,399,510,
244,869,205,932,757,791,244,934,290,736,093,240,840,866,741,077,887,955,027,
233,825,923,785,866,267,928,308,763,295,128,821,996,639,390,593,882,531,049,
277,436,613,388,587,405,488,639,009,621,338,959,785,255,862,854,567,194,674,
363,620,794,688,106,283,591,944,749,531,307,626,505,193,120,909,931,154,663,
888,553,275,491,729,371,417,653,759,854,567,555,535,662,508,817,653,768,496,
586,016,349,940,690,761,772,172,401,390,260,591,232,188,287,595,883,808,059,
442,249,143,166,989,581,076,715,113,336,074,520,932,376,377,846,237,893,580,
450,842,122,475,990,187,415,957,719,645,216,789,127,447,435,603,464,253,486,
014,193,717,256,402,658,221,512,544,146,220,061,138,035,738,152,923,451,102,
225,363,798,987,061,717,505,841,625,079,649,309,541,967,856,484,305,383,789,
166,449,917,231,109,156,551,180,604,842,825,502,494,283,615,206,862,356,599,
890,031,868,491,497,984,414,403,060,278,110,251,346,169,835,217,345,078,672,
969,352,040,099,831,958,144,694,920,631,282,560,646,056,015,212,001,245,213,
261,023,980,226,016,309,582,687,025,733,130,560,053,771,463,642,150,581,656,
264,861,551,660,897,664,672,509,363,043,039,847,077,426,969,713,063,000,529,
939,446,834,501,627,608,286,105,812,629,836,206,393,520,715,089,773,442,303,
297,412,808,518,621,881,831,223,022,255,538,620,467,114,059,266,169,211,072,
253,364,241,755,430,864,752,278,221,919,820,976,577,258,473,225,079,499,633,
603,921,896,779,992,424,804,896,630,922,609,099,801,302,894,296,762,367,684,
320,314,043,820,620,181,791,325,577,227,054,524,654,642,617,295,174,435,781,
340,624,552,761,696,764,843,361,960,103,225,997,167,442,331,031,569,481,208,
116,974,819,205,364,635,930,228,133,516,513,859,928,533,599,174,696,004,666,
030,488,160,187,071,076,791,860,592,404,445,044,451,187,641,456,608,485,288,
445,710,154,499,349,569,353,359,098,506,672,508,474,276,993,330,682,717,647,
914,362,438,867,389,666,248,792,856,176,509,090,175,789,502,607,869,885,783,
709,619,550,493,540,739,377,824,608,424,030,068,788,807,542,922,701,708,913,
806,654,361,604,073,389,551,151,191,135,082,024,216,668,541,432,345,686,849,
906,992,222,453,930,478,773,182,127,342,290,011,123,534,721,470,661,324,703,
650,489,102,742,713,720,228,019,434,405,479,308,643,574,824,770,312,816,928,
640,227,696,576,877,231,213,914,737,002,239,236,729,424,200,916,094,862,941,
625,163,615,696,838,244,883,363,413,988,959,607,232,884,947,023,331,800,657,
187,962,162,533,009,563,607,186,014,288,438,511,167,711,010,504,778,574,102,
398,434,220,204,207,180,244,434,874,043,887,578,885,497,811,729,458,931,606,
586,670,619,759,396,302,881,835,624,944,495,560,306,903,417,790,139,456,266,
180,164,080,664,816,753,060,428,609,646,946,517,169,105,132,627,065,315,956,
764,699,412,161,911,677,121,223,271,319,812,336,104,137,656,731,377,560,706,
754,242,176,085,395,162,405,078,679,529,199,259,885,499,467,586,245,961,548,
225,042,108,506,301,505,696,077,799,494,034,802,851,444,490,615,772,295,711,
088,896,079,148,179,463,425,276,413,467,237,631,410,259,716,725,001,701,815,
531,547,268,276,469,559,437,510,287,715,797,931,795,749,481,709,210,882,805,
224,262,528,270,082,389,481,316,883,821,227,747,805,911,232,818,738,634,340,
227,510,064,720,557,078,227,420,069,449,438,424,013,303,450,318,329,739,960,
080,768,974,630,521,058,466,316,224,287,306,041,578,150,216,819,444,157,370,
006,869,866,499,683,806,837,688,233,331,573,133,304,729,464,528,994,339,787,
980,418,545,007,105,028,094,037,871,412,683,963,815,930,708,339,286,684,663,
537,561,071,483,353,454,310,411,063,379,097,220,636,414,642,520,300,582,801,
555,999,014,869,528,143,669,743,511,016,294,319,405,469,925,347,118,709,223,
829,166,884,354,390,196,196,692,014,279,144,359,375,111,302,961,281,163,945,
298,585,542,763,359,668,109,488,879,968,681,235,402,319,714,383,499,656,261,
140,699,754,892,622,992,223,858,458,648,780,991,737,965,454,638,125,507,114,
660,396,058,841,946,453,818,305,364,301,082,283,905,111,192,150,226,395,378,
741,920,177,301,189,708,241,407,754,372,359,375,861,828,048,377,915,959,285,
999,576,271,629,321,103,925,427,256,334,530,747,642,708,903,389,240,777,809,
685,539,323,564,218,957,192,782,171,251,734,224,405,606,753,675,572,978,224,
742,364,245,844,074,182,677,300,728,656,479,728,118,758,329,605,622,211,189,
951,353,799,577,244,673,401,287,400,688,232,195,621,116,332,307,733,157,408,
467,523,522,900,518,357,687,977,352,533,203,251,620,877,320,206,464,821,353,
009,289,199,360,978,743,220,205,062,372,239,870,594,178,667,026,477,016,843,
522,277,866,547,240,110,529,507,041,727,063,059,868,490,249,067,878,633,199,
487,454,335,546,393,531,320,022,633,075,717,209,072,445,899,720,334,575,214,
622,207,361,780,344,303,457,989,572,373,462,925,285,938,772,009,941,377,018,
766,798,291,287,348,748,375,840,413,837,348,576,164,175,171,408,021,851,375,
020,056,904,290,167,586,854,016,129,286,253,812,310,173,671,647,734,856,334,
358,305,506,498,052,222,284,015,242,410,637,943,696,984,344,770,972,585,956,
896,943,135,351,706,830,501,625,095,451,370,733,496,282,161,776,213,955,237,
350,824,789,513,840,883,863,375,363,793,820,919,533,689,550,663,761,677,441,
671,580,705,990,919,665,603,621,715,108,494,255,704,845,197,446,142,447,487,
720,320,659,415,470,427,992,841,218,848,633,634,606,868,048,194,019,277,177,
067,066,117,569,556,942,080,756,447,060,146,572,778,991,593,082,842,278,229,
391,419,527,750,860,050,069,746,869,915,943,106,143,311,985,819,622,636,304,
670,291,688,313,627,471,686,053,758,814,174,234,915,480,851,943,638,099,128,
237,169,357,763,079,405,649,855,450,478,728,266,921,087,473,387,830,398,730,
528,633,300,259,403,797,220,079,081,799,656,831,769,835,510,363,230,881,863,
793,837,036,936,925,106,229,863,392,394,483,285,746,491,660,147,023,608,981,
891,359,468,041,602,562,415,003,633,228,428,631,977,011,510,132,302,782,786,
083,587,248,808,198,492,691,128,650,757,390,435,704,099,860,211,240,536,448,
027,074,010,176,390,145,840,828,938,493,970,095,604,818,020,219,896,290,325,
348,667,390,132,787,753,143,861,399,123,167,256,906,055,712,523,552,627,257,
307,608,557,776,817,144,288,291,551,744,009,702,336,107,939,476,078,886,790,
242,753,420,832,026,972,316,127,579,348,892,103,045,171,874,291,273,618,838,
314,949,154,545,631,959,062,907,338,969,723,497,044,997,802,185,918,569,145,
853,473,865,642,914,881,119,042,844,687,915,822,157,845,530,093,732,923,323,
350,759,023,647,170,866,287,724,489,527,297,488,216,976,231,895,989,505,316,
770,313,288,324,665,001,363,513,999,716,586,224,913,714,499,427,210,825,864,
569,545,529,876,980,244,347,336,585,578,079,306,490,638,335,564,592,522,622,
502,925,249,686,103,162,674,114,977,098,205,715,169,560,416,224,327,554,777,
123,015,485,668,666,737,929,202,090,918,724,836,278,238,407,024,060,628,393,
131,152,903,605,841,626,802,701,648,349,426,768,439,529,040,075,739,175,296,
004,584,698,539,096,469,110,934,630,087,128,105,942,825,359,496,090,862,860,
189,048,323,972,161,046,758,532,513,838,674,329,170,812,182,828,499,244,139,
314,327,505,203,623,629,769,620,719,982,867,609,420,259,146,531,316,026,550,
113,923,982,769,535,478,222,479,622,618,062,853,554,165,446,631,158,557,797,
916,672,031,566,933,328,500,638,961,139,285,555,962,408,878,771,048,156,956,
538,193,148,957,524,683,083,846,719,644,544,678,260,032,135,540,957,483,003,
379,919,574,088,271,824,375,042,480,251,864,407,635,664,907,646,224,098,535,
783,775,768,807,836,350,502,084,446,113,566,238,124,600,514,762,287,585,148,
021,884,515,490,947,013,769,916,797,232,170,963,698,448,854,862,986,241,255,
340,379,833,671,619,950,215,930,803,043,721,209,655,678,293,700,334,270,330,
728,520,883,205,038,484,669,071,529,912,106,479,512,679,157,939,651,509,103,
108,061,077,242,751,172,987,453,417,173,061,996,948,933,797,497,505,309,409,
501,095,770,698,034,731,659,814,191,201,876,609,197,604,635,689,877,663,644,
434,094,221,423,272,887,126,347,804,511,368,722,493,338,842,704,241,321,727,
434,885,652,967,610,118,803,091,430,908,411,938,215,030,849,429,342,441,480,
872,855,578,194,150,601,787,458,290,869,705,522,811,260,566,751,192,144,751,
608,116,376,305,451,925,384,748,380,898,411,863,321,904,224,750,522,879,208,
930,551,114,585,496,644,976,054,806,381,670,432,748,733,806,080,758,423,424,
436,535,400,736,835,466,521,708,951,768,148,200,062,184,723,185,814,064,344,
304,132,636,391,351,336,510,830,038,108,308,672,888,600,089,398,233,473,565,
904,876,214,462,036,944,659,299,561,355,894,953,076,959,931,532,335,967,157,
821,372,965,215,834,154,046,659,978,915,146,448,492,196,713,894,325,038,958,
439,927,565,736,784,995,023,596,082,514,543,236,892,480,764,887,083,630,351,
933,892,405,576,345,831,185,673,648,314,824,761,569,396,019,329,996,820,292,
432,058,695,501,003,119,833,788,287,530,138,978,952,089,825,980,359,883,109,
717,291,433,044,705,659,327,664,460,447,496,810,983,670,679,439,773,100,362,
536,699,359,866,138,547,229,226,755,963,283,386,606,697,293,705,782,092,988,
267,947,829,624,576,217,227,241,697,590,267,229,198,106,742,037,478,795,929,
354,477,672,974,266,065,089,797,104,666,485,945,307,086,580,369,665,391,644,
978,091,119,116,257,743,287,336,513,496,193,869,732,903,332,385,624,077,742,
937,550,008,164,560,003,066,469,292,466,912,867,893,365,326,234,749,548,452,
417,190,446,397,693,838,005,834,030,150,668,746,998,216,344,885,064,708,192,
174,081,113,155,191,979,935,806,947,571,027,129,429,244,766,380,763,163,102,
393,402,777,208,054,622,176,040,180,538,515,592,145,524,907,936,388,464,956,
439,793,936,871,439,580,627,250,222,808,722,423,619,755,333,136,456,160,738,
082,873,025,595,104,052,279,957,129,930,464,877,172,738,377,262,823,815,951,
305,095,152,486,461,842,526,203,037,230,506,070,169,788,998,367,985,863,117,
603,142,041,680,218,457,246,730,860,848,151,138,906,302,406,697,689,197,209,
464,284,121,727,679,004,912,185,915,737,950,799,097,686,773,904,184,050,511,
785,804,200,431,771,311,059,770,674,636,280,393,704,229,102,948,900,704,834,
678,723,132,088,964,798,507,927,521,115,874,662,985,853,568,718,187,323,215,
456,458,612,471,271,194,378,911,378,230,862,067,457,073,821,259,500,433,887,
431,569,597,620,685,608,493,370,901,813,015,721,726,912,506,139,036,103,805,
955,073,223,983,532,574,782,662,965,180,266,715,831,184,822,436,625,224,815,
067,644,075,301,624,678,667,324,755,308,742,353,399,640,281,222,121,219,454,
069,117,048,846,952,204,489,689,325,537,505,931,296,943,873,032,541,999,414,
383,143,094,087,229,563,576,916,218,267,755,852,179,128,100,917,666,538,539,
294,465,669,473,515,014,579,187,198,283,316,359,558,425,479,681,250,447,591,
892,746,813,810,053,719,238,108,877,081,103,411,115,358,854,255,942,490,531,
843,828,619,676,878,841,107,706,819,918,428,284,024,736,077,629,343,212,861,
450,944,385,405,359,912,141,397,202,266,912,514,258,873,125,118,125,761,488,
807,636,933,892,649,404,067,941,527,078,369,480,383,216,740,988,623,683,566,
098,299,183,205,267,160,701,213,860,994,131,110,057,974,347,719,063,889,500,
078,984,416,927,850,413,888,358,035,255,820,728,159,679,559,391,389,510,775,
442,833,568,313,379,506,261,949,635,696,264,164,197,680,058,673,262,999,927,
798,223,603,645,825,734,339,532,794,474,023,451,418,788,888,581,631,952,432,
316,883,867,561,895,466,700,649,469,807,675,049,508,549,456,323,743,094,704,
285,672,404,944,758,808,637,199,722,755,366,148,630,609,904,566,505,631,872,
712,214,881,786,389,465,519,662,436,534,742,216,114,602,752,781,439,608,023,
249,702,892,462,490,111,921,934,625,319,460,163,075,254,042,378,466,997,929,
179,752,327,921,004,841,981,230,218,805,482,568,353,870,069,864,754,729,709,
208,639,126,378,490,328,393,501,451,772,319,078,555,690,529,079,887,169,396,
097,218,023,066,514,512,319,463,652,511,247,163,342,243,034,468,998,153,567,
987,862,169,412,160,643,341,163,656,923,918,152,610,873,906,836,657,033,182,
996,301,712,016,561,395,685,025,479,234,328,704,259,582,612,126,215,272,725,
202,837,452,727,113,362,576,353,337,714,713,208,349,313,505,098,052,036,759,
907,343,852,399,617,478,504,148,161,903,356,613,206,595,988,593,876,504,901,
849,501,763,863,025,200,257,868,961,030,060,829,316,332,947,584,652,799,184,
276,264,116,049,293,724,515,877,998,726,193,231,690,047,529,696,567,701,124,
920,867,273,262,161,605,061,497,740,275,383,246,058,466,259,248,052,582,335,
188,599,824,543,146,952,153,123,625,786,973,153,729,786,080,299,390,784,376,
869,806,392,867,990,907,272,619,793,368,074,544,180,898,301,548,898,863,182,
775,245,371,773,910,662,831,901,024,792,112,881,501,630,445,588,849,097,045,
337,512,521,408,547,124,032,123,770,663,085,816,600,487,485,285,628,898,555,
986,184,966,908,896,324,374,850,572,440,064,141,633,289,642,556,448,751,968,
678,263,286,061,163,403,649,493,244,930,145,387,281,080,289,698,327,088,229,
179,449,668,490,685,783,201,821,698,170,960,559,098,915,278,666,123,414,814,
000,933,614,525,506,695,418,530,363,960,211,459,963,125,917,217,992,119,552,
822,240,376,919,916,454,902,179,972,653,105,119,054,471,297,836,635,734,857,
545,253,268,793,867,676,955,533,084,593,371,781,378,967,872,679,207,501,823,
593,981,097,631,553,446,500,620,868,731,252,808,815,844,091,295,501,001,158,
697,911,408,823,827,606,633,292,472,272,671,715,351,482,566,520,996,102,704,
276,158,835,579,634,532,832,576,326,912,793,569,332,876,790,267,837,116,119,
335,260,119,903,351,665,663,942,322,993,037,967,368,081,394,332,566,790,389,
315,356,863,043,343,100,076,205,781,844,865,995,357,420,435,643,290,797,209,
902,937,274,321,091,308,761,720,765,838,753,968,624,585,930,856,545,928,704,
116,372,129,405,272,902,621,610,014,243,586,853,321,100,088,148,909,414,764,
830,505,006,433,990,055,608,225,502,589,754,012,068,507,927,160,212,920,265,
009,005,570,158,466,701,999,881,569,009,005,868,008,880,928,223,657,933,323,
772,440,015,528,865,254,779,435,308,207,361,273,052,539,352,930,972,519,538,
653,273,077,761,129,527,156,275,336,073,421,611,200,661,726,113,400,473,981,
400,846,681,796,897,669,728,871,539,828,140,005,786,282,995,721,664,691,800,
717,085,583,959,085,049,562,235,505,431,422,775,586,111,333,233,376,894,375,
217,793,116,282,362,231,629,453,673,497,395,174,863,384,052,330,592,068,201,
458,281,723,053,037,256,950,568,428,549,942,696,731,459,614,871,322,538,368,
016,184,677,224,205,724,359,868,471,725,094,191,093,827,603,295,190,589,727,
450,528,368,540,408,299,886,899,774,540,584,135,779,742,530,356,875,121,864,
455,437,573,217,887,525,268,667,335,680,558,674,218,369,639,164,064,960,004,
586,130,106,436,244,720,450,392,193,589,653,974,290,832,871,050,785,949,775,
394,533,520,134,216,137,057,910,798,244,138,351,011,377,117,691,288,377,577,
510,853,105,925,013,701,553,753,637,860,809,042,586,892,183,476,430,676,703,
714,677,093,567,709,305,572,508,527,818,890,826,950,575,602,690,590,570,323,
170,725,702,344,904,114,138,983,903,889,356,150,071,829,157,213,727,475,758,
978,967,372,995,037,849,996,930,432,868,443,544,726,823,376,002,061,298,068,
705,414,546,935,477,189,468,777,967,032,488,498,836,249,064,269,833,346,870,
928,044,622,239,775,310,730,130,103,807,177,882,395,290,350,501,775,544,305,
153,167,476,889,529,723,318,230,855,969,572,223,372,849,439,095,128,173,990,
120,898,243,442,242,268,216,743,152,658,710,671,367,445,158,434,242,231,364,
548,052,354,010,672,522,181,138,363,818,428,604,505,853,039,320,521,296,671,
273,782,362,831,358,286,837,187,141,201,836,219,871,773,852,913,684,104,528,
072,129,126,323,365,191,415,294,503,451,649,627,333,886,841,905,220,793,477,
891,568,578,894,565,946,385,255,044,710,433,044,254,458,994,594,824,041,060,
213,880,325,651,496,546,522,196,877,585,503,404,069,031,611,718,689,896,022,
809,441,883,296,069,831,299,457,438,316,396,026,576,783,443,985,263,549,275,
044,655,235,441,132,699,662,606,328,847,149,207,948,372,409,907,933,046,864,
115,832,379,901,252,862,960,745,830,276,672,379,724,562,264,219,916,291,818,
635,266,619,023,498,205,301,139,659,535,556,823,995,576,003,397,971,869,428,
353,501,265,335,410,052,463,124,694,556,742,613,048,771,473,709,288,278,586,
621,352,747,330,256,662,459,160,684,533,194,247,898,895,454,216,276,922,689,
778,094,860,934,970,008,306,324,254,275,911,340,865,916,997,443,732,002,998,
776,504,690,117,183,389,807,109,739,661,632,751,160,066,930,813,888,617,118,
122,329,589,005,363,494,536,041,989,355,410,272,007,056,433,751,124,777,187,
336,960,354,319,918,785,385,945,264,230,302,450,950,073,417,938,526,340,126,
631,637,425,114,382,079,902,802,322,245,494,410,121,578,343,880,565,795,985,
207,785,037,335,914,094,864,193,064,059,272,868,943,322,351,040,135,232,465,
792,370,005,487,242,107,655,662,400,275,756,338,254,450,243,990,466,095,621,
582,423,380,341,587,433,653,891,783,976,684,469,103,161,750,142,977,440,228,
579,900,159,702,885,833,078,931,409,587,776,421,283,642,691,556,804,012,044,
435,198,194,451,462,123,879,023,652,665,496,682,996,801,261,414,005,074,122,
609,737,770,016,886,970,760,014,104,235,419,965,771,506,704,181,564,116,054,
839,529,493,598,974,031,666,655,906,439,728,617,587,934,424,396,312,583,465,
119,111,327,254,798,832,757,252,997,468,519,116,346,546,067,958,662,549,657,
811,258,725,893,705,606,463,675,459,685,669,231,741,483,368,406,610,597,141,
387,584,802,512,270,081,417,017,753,366,744,977,378,241,557,507,048,559,820,
022,613,533,893,255,645,294,238,234,049,521,715,118,306,276,594,297,062,948,
857,465,700,239,683,451,092,928,494,714,223,492,616,383,280,949,956,509,736,
380,802,460,389,164,859,244,658,847,054,279,597,626,397,226,907,169,101,904,
181,705,793,547,295,097,989,160,318,771,378,249,844,460,172,305,988,918,585,
594,276,375,821,673,952,393,627,950,258,377,143,782,061,353,852,415,927,250,
899,422,077,086,561,816,962,421,262,020,087,473,558,269,089,141,907,947,334,
214,429,081,430,783,831,371,811,451,600,846,078,279,409,393,028,066,523,714,
128,666,381,082,391,737,907,307,632,809,016,885,121,040,328,096,952,446,404,
041,840,078,128,091,192,628,730,791,644,374,338,231,346,179,053,783,346,238,
504,798,149,058,303,743,575,876,090,272,850,985,134,061,039,175,269,496,741,
027,973,167,431,583,499,733,266,634,036,606,287,446,168,541,252,284,442,213,
618,383,947,566,249,106,293,286,769,290,865,001,402,701,611,164,761,829,688,
280,493,893,143,236,879,360,237,675,365,360,473,500,986,383,545,168,357,990,
177,039,561,441,361,486,689,524,173,638,655,211,075,529,281,229,586,630,334,
278,506,146,346,001,314,283,230,057,965,351,904,403,903,342,299,275,070,592,
385,783,462,446,098,466,797,581,246,493,479,639,512,524,105,370,617,080,046,
193,538,352,746,707,819,203,065,298,230,202,924,288,162,557,967,229,569,016,
910,554,656,040,990,243,376,967,334,997,461,108,480,082,948,546,331,674,289,
774,631,778,333,048,699,607,195,509,677,613,184,390,822,953,412,646,796,590,
170,383,994,582,086,435,500,152,993,594,201,222,981,647,662,906,899,298,681,
493,749,478,863,665,800,178,259,379,582,855,718,887,059,620,233,822,652,601,
478,955,816,590,080,655,322,600,293,737,382,917,966,386,306,952,630,380,508,
629,202,161,190,115,942,269,389,293,411,447,606,132,258,024,575,272,688,448,
528,445,112,353,323,435,125,650,892,049,792,849,930,595,019,933,955,576,945,
543,751,397,200,838,312,756,180,952,006,861,992,599,794,509,375,454,772,901,
789,982,425,317,929,231,376,544,850,012,162,372,198,848,082,662,037,485,240,
108,989,360,285,138,182,985,274,739,770,523,374,434,594,274,478,267,638,836,
252,987,345,335,715,727,260,661,570,395,056,248,262,535,576,798,650,647,772,
444,447,662,969,545,484,245,177,664,953,798,846,126,452,838,544,072,050,836,
513,542,893,132,505,860,231,063,749,260,211,133,598,191,344,686,388,118,319,
180,199,217,502,194,373,109,653,410,914,684,602,684,960,051,774,172,534,892,
127,141,628,153,112,594,223,269,638,008,792,803,704,594,114,899,951,270,510,
570,802,711,390,634,371,483,873,157,102,714,269,287,841,699,759,731,732,660,
515,910,825,842,184,618,449,994,525,994,222,542,829,833,932,436,762,196,562,
265,834,032,642,726,843,165,144,437,497,198,546,179,364,248,243,232,632,413,
057,003,533,972,078,191,179,124,679,948,249,501,813,314,118,404,007,535,232,
269,028,721,629,268,984,103,150,513,851,344,941,464,793,288,239,742,968,329,
479,607,573,434,857,219,851,520,942,720,211,563,717,365,641,568,600,729,850,
350,381,943,022,290,605,086,681,025,013,115,410,111,405,373,847,813,145,507,
474,288,604,062,864,478,622,582,747,554,143,948,235,937,546,510,331,619,950,
430,288,758,298,432,918,976,282,413,967,958,498,726,423,168,855,555,071,272,
276,527,583,099,284,074,473,030,022,281,127,519,015,109,315,460,948,242,431,
845,033,185,460,545,723,860,360,065,907,776,488,962,454,657,101,157,275,109,
884,713,371,280,153,617,120,183,128,316,114,040,836,981,571,636,586,745,929,
270,533,274,852,738,445,153,821,904,567,933,829,494,727,504,080,570,192,904,
226,793,248,869,077,540,759,448,809,808,590,607,662,509,272,290,315,079,282,
921,689,400,413,528,799,008,001,340,162,774,774,702,965,971,658,963,150,262,
186,851,472,983,865,856,641,481,284,196,387,033,571,188,521,866,448,735,170,
747,069,700,692,246,809,058,695,360,058,462,892,490,869,025,535,997,949,821,
359,197,137,292,975,713,972,613,775,092,394,885,062,037,445,571,748,090,650,
800,234,200,494,237,782,110,120,546,025,361,988,860,837,326,951,109,810,846,
024,170,602,163,529,758,338,429,482,917,035,229,692,441,814,371,975,608,942,
567,096,915,232,115,385,323,373,921,726,848,707,007,719,466,947,057,349,367,
014,758,242,193,896,890,730,362,603,377,278,958,698,918,699,906,300,307,226,
853,523,890,453,257,025,323,347,079,829,775,979,124,931,662,245,283,369,583,
346,266,256,733,245,132,833,906,752,663,271,527,002,253,089,815,092,073,780,
504,832,079,197,236,623,071,799,540,779,357,923,589,231,792,626,180,936,906,
458,017,293,360,074,213,903,438,541,365,261,842,128,231,842,762,779,124,952,
155,085,950,058,543,810,503,815,707,921,389,848,193,029,110,370,189,290,894,
899,214,465,338,003,505,269,110,142,500,461,188,861,067,911,691,873,915,931,
954,701,811,569,606,860,330,352,922,397,010,812,093,945,269,694,362,530,849,
702,791,259,140,457,518,256,287,981,262,306,656,250,996,602,405,467,631,633,
842,307,469,560,456,489,472,354,884,581,955,922,373,785,548,693,800,044,444,
664,516,463,746,063,364,851,521,618,155,173,834,517,395,972,761,245,626,743,
756,390,256,526,092,468,086,908,609,100,270,972,986,874,451,072,485,760,944,
522,215,820,704,017,264,953,760,002,911,795,262,657,690,610,809,025,090,931,
976,690,660,538,378,609,410,499,933,759,758,152,554,734,522,822,204,227,237,
397,994,283,851,306,468,340,400,237,002,022,373,207,029,049,153,124,716,327,
538,310,480,387,360,571,241,457,286,171,390,610,630,645,273,905,321,277,001,
338,533,515,657,221,705,081,439,409,786,182,687,498,297,011,046,569,382,888,
698,715,543,575,255,253,947,775,940,560,967,140,966,232,577,849,724,866,140,
139,888,203,871,630,919,744,447,775,035,787,190,597,172,579,514,109,891,242,
684,701,628,295,707,021,737,819,095,746,265,700,452,341,834,968,493,989,640,
782,439,669,639,512,886,171,359,429,251,980,872,929,559,785,386,312,066,431,
518,535,074,597,925,901,958,093,807,639,307,602,315,636,212,403,696,672,080,
770,830,349,385,260,921,256,709,603,476,503,016,044,995,541,573,642,851,056,
212,579,399,139,254,363,498,823,133,774,228,279,231,267,995,518,765,957,644,
861,296,879,715,088,085,655,120,816,038,842,095,569,404,517,721,378,450,797,
204,832,641,104,997,714,438,020,010,033,560,196,457,643,714,515,911,404,508,
703,552,421,557,310,911,242,134,758,411,963,313,119,207,926,463,312,020,956,
588,266,388,984,570,066,173,486,151,731,373,483,267,883,207,131,791,275,871,
263,512,800,940,097,524,837,343,954,490,661,081,123,460,775,621,025,512,495,
403,923,863,437,249,764,358,681,635,789,297,613,109,048,543,860,067,633,219,
722,502,744,942,859,366,374,110,268,558,721,165,118,545,808,600,979,494,583,
754,119,333,533,657,429,043,037,610,891,996,067,312,358,027,651,555,547,539,
162,962,837,173,338,465,769,780,063,592,293,072,439,033,550,052,741,169,796,
025,574,304,665,086,777,643,715,144,276,536,001,617,064,633,064,639,621,544,
226,970,348,139,630,213,546,989,105,283,267,547,398,415,609,253,094,674,736,
494,779,825,181,592,100,933,967,345,159,237,649,034,975,904,603,675,661,250,
686,967,773,675,453,547,813,668,854,438,197,861,235,387,395,694,584,727,354,
872,818,544,802,479,283,155,758,899,287,115,397,933,956,832,105,238,235,968,
848,895,847,287,219,211,849,308,019,697,301,384,511,870,422,843,812,850,704,
708,909,779,774,819,638,279,530,873,489,029,171,449,688,176,228,046,336,807,
476,982,818,976,065,108,646,852,706,587,864,333,358,647,228,714,125,761,086,
759,749,843,477,069,191,095,821,780,568,187,724,746,849,014,239,847,211,810,
454,513,560,892,763,081,399,956,948,117,357,224,516,068,171,736,729,307,022,
488,290,249,343,411,953,177,774,650,041,064,854,236,024,751,669,559,109,728,
896,019,610,414,582,523,351,872,150,892,607,044,666,696,010,116,780,852,378,
687,041,804,161,133,071,703,449,639,920,565,993,937,787,535,432,000,750,511,
615,464,864,497,614,627,581,105,061,638,273,566,016,233,892,501,660,673,555,
767,011,151,007,649,200,803,092,162,252,066,546,176,841,526,735,466,627,852,
669,646,477,267,918,469,725,931,178,679,694,664,654,436,329,374,806,729,127,
746,223,677,191,746,567,924,141,526,532,437,576,644,924,778,351,996,652,748,
548,929,314,217,896,917,355,563,897,933,695,297,746,909,203,295,757,549,886,
993,167,806,273,765,096,871,598,466,843,930,951,340,891,660,328,957,773,797,
949,511,747,471,124,262,756,553,037,498,847,761,945,090,910,061,923,048,576,
732,675,650,551,082,988,718,556,119,412,330,325,264,979,168,419,872,467,297,
915,590,627,495,162,054,935,297,311,349,612,496,025,408,442,183,847,072,848,
139,620,541,475,761,696,746,226,700,287,457,896,711,938,788,863,432,667,972,
461,100,872,109,782,107,393,090,304,461,060,963,614,804,290,528,662,890,336,
265,957,297,811,303,291,079,894,731,963,139,584,905,468,592,337,430,229,390,
120,413,682,064,287,223,750,720,058,541,923,506,685,496,013,533,496,837,741,
983,380,949,904,442,456,894,356,626,352,599,002,090,210,906,284,533,020,659,
054,677,891,929,760,457,410,524,884,735,131,857,741,108,201,085,401,829,961,
011,009,092,650,216,576,463,405,012,741,466,262,819,383,313,450,975,160,083,
685,022,838,637,691,908,167,615,415,099,596,861,604,643,449,752,348,467,463,
478,484,511,779,414,646,707,416,317,919,348,451,751,332,266,251,508,806,103,
645,853,763,040,129,844,843,348,746,117,061,321,022,485,110,722,115,930,827,
134,169,336,267,558,794,012,051,296,666,649,393,734,340,226,601,299,258,085,
102,628,444,774,251,623,472,744,057,045,164,857,200,862,483,502,067,849,522,
142,193,714,781,004,541,980,409,858,545,451,294,039,483,253,880,154,427,786,
896,736,770,850,073,676,449,175,096,656,296,411,905,573,017,306,476,640,334,
697,385,452,616,520,627,873,493,588,863,375,331,537,696,856,997,428,566,184,
877,689,726,128,210,307,246,796,372,668,704,731,621,820,846,366,011,046,425,
093,352,216,160,696,838,066,529,591,172,951,722,156,767,049,385,052,525,791,
176,845,548,283,415,304,026,889,090,737,845,327,167,150,468,728,897,389,517,
210,609,374,723,214,993,591,174,352,149,906,729,450,697,150,748,717,036,858,
828,876,375,071,393,280,559,205,783,846,806,204,161,435,144,397,726,661,350,
615,144,191,805,176,576,681,585,191,151,166,523,317,716,081,417,308,188,653,
011,605,217,136,571,823,651,249,693,372,992,865,119,609,481,850,334,143,094,
231,430,073,090,704,207,980,616,845,867,120,846,724,864,302,425,917,073,623,
136,592,454,229,116,246,658,367,544,514,440,921,931,925,856,623,381,465,932,
558,525,829,821,999,896,270,382,207,708,308,439,203,471,732,222,402,723,894,
541,006,373,243,534,155,292,905,268,512,312,315,547,728,598,452,180,619,844,
523,166,109,421,792,859,399,033,213,693,488,348,658,198,897,536,853,617,321,
296,883,602,659,204,082,843,329,700,014,833,163,762,276,695,254,614,070,187,
906,095,835,534,061,855,706,770,909,206,520,511,855,814,885,373,277,739,898,
597,139,013,733,811,539,842,843,100,023,705,688,035,608,704,352,466,608,856,
244,682,921,569,338,215,493,059,852,478,978,484,331,031,352,635,893,553,049,
767,958,439,404,854,487,582,871,210,840,376,221,896,992,165,720,322,628,874,
963,938,364,835,826,466,073,302,167,859,340,592,107,247,269,626,668,280,041,
730,879,892,463,465,002,622,169,058,019,838,374,074,122,532,729,668,494,659,
701,964,277,604,965,157,938,950,829,879,071,542,514,952,123,711,516,974,152,
421,532,672,358,119,263,803,134,067,012,843,365,301,796,333,086,394,132,053,
421,159,604,305,327,485,673,545,138,185,375,653,329,367,657,945,039,825,331,
256,578,356,796,577,458,803,066,329,986,085,788,889,382,659,585,429,157,904,
437,927,654,764,037,524,496,715,006,347,059,970,082,082,989,945,491,589,486,
556,573,446,279,076,958,268,189,447,069,339,902,116,453,824,796,497,209,395,
243,728,634,689,876,504,505,245,931,553,664,626,445,381,805,851,387,319,182,
066,944,089,250,581,359,138,336,833,690,435,660,978,452,812,959,386,171,204,
951,034,868,101,125,811,081,179,670,540,171,663,876,538,079,434,304,014,606,
861,035,362,205,280,569,154,360,082,411,497,364,408,398,311,250,706,900,656,
401,736,701,993,412,107,511,748,389,685,092,182,881,382,344,553,365,629,494,
775,651,945,388,710,519,851,023,690,744,717,121,730,740,140,589,031,194,409,
941,708,621,903,422,024,957,436,419,354,386,946,920,901,761,154,481,896,601,
934,656,877,857,980,553,825,974,442,052,625,852,451,433,293,803,238,296,090,
209,106,804,199,035,669,713,683,494,426,882,653,534,759,855,726,513,171,955,
088,105,804,069,402,372,017,587,232,582,427,318,838,148,666,761,583,562,516,
383,933,537,880,464,352,869,772,359,252,027,742,532,323,195,984,841,939,079,
482,646,956,004,981,441,350,798,662,363,371,783,326,045,524,461,186,746,225,
612,543,085,081,552,536,782,246,553,915,186,626,675,622,505,810,781,084,515,
576,046,963,571,754,921,644,675,925,755,658,179,592,488,223,411,439,456,528,
113,544,926,638,839,254,248,722,136,150,380,617,541,460,771,472,845,852,589,
363,121,564,458,461,137,831,652,627,612,124,359,017,020,686,845,249,692,518,
543,934,357,800,400,271,572,470,693,155,701,891,997,210,640,606,931,959,393,
716,323,732,915,969,767,849,825,821,323,816,901,577,873,310,168,942,391,365,
165,039,200,971,814,943,789,283,052,666,170,033,445,463,872,271,421,868,901,
274,678,563,807,574,247,141,777,694,810,430,736,830,906,309,945,266,719,358,
666,348,135,031,267,410,100,326,034,269,622,759,798,586,704,366,158,377,937,
221,359,404,525,809,967,766,002,437,471,909,131,810,109,949,390,142,759,759,
610,840,764,265,625,291,213,129,118,566,266,597,765,729,442,698,911,940,279,
147,242,949,625,114,573,196,343,920,878,845,217,890,131,163,249,927,246,116,
250,292,202,764,251,094,964,588,570,435,363,842,684,041,869,434,886,805,383,
779,776,917,474,414,780,508,776,661,735,763,473,928,820,803,442,935,761,938,
805,674,527,690,973,759,409,748,882,304,424,204,907,397,696,784,375,028,357,
148,982,964,972,741,779,355,701,742,963,949,643,659,937,688,664,588,802,329,
767,403,418,301,857,161,787,048,736,030,602,962,434,090,294,383,493,529,328,
134,503,897,687,511,399,125,187,849,896,832,690,208,793,880,128,383,353,137,
885,509,749,055,030,711,731,309,722,387,357,635,558,862,672,529,992,816,160,
268,060,416,542,192,154,050,256,730,430,034,679,330,611,298,956,434,857,913,
098,433,321,196,096,444,807,429,939,105,327,818,986,456,559,809,338,913,979,
041,727,171,380,251,268,131,533,291,709,283,300,774,920,192,374,948,474,676,
863,889,516,834,651,185,348,009,253,648,686,905,062,178,028,506,830,341,322,
001,580,277,783,159,846,205,836,080,528,306,310,362,418,051,611,342,046,865,
869,810,042,813,678,606,993,771,178,974,660,852,605,247,690,519,099,640,025,
502,321,578,974,555,551,956,629,591,569,236,707,308,707,741,523,107,537,561,
447,686,118,006,226,624,833,317,740,358,211,825,721,681,193,090,270,405,125,
175,702,128,935,618,705,317,512,732,213,727,490,739,393,325,027,065,382,639,
694,654,625,171,488,207,145,498,023,114,273,662,721,799,609,418,561,928,696,
637,698,302,104,507,570,473,363,637,403,285,731,590,461,794,450,001,125,275,
686,809,830,043,723,002,821,042,890,208,317,416,077,711,152,063,132,201,597,
641,322,380,302,817,249,901,880,561,679,955,381,193,847,341,172,589,851,165,
212,690,003,044,230,169,602,322,581,410,170,660,827,643,112,341,504,771,242,
335,271,837,272,213,098,397,756,242,632,667,066,488,753,489,957,849,594,913,
575,468,626,355,530,455,457,461,003,244,644,243,304,238,413,257,349,393,442,
476,739,535,710,777,801,622,317,581,959,128,656,932,249,669,149,728,158,521,
229,034,316,425,636,016,964,481,602,720,843,548,881,929,254,654,856,579,269,
708,063,780,445,949,349,336,886,746,974,704,477,520,242,247,576,430,546,287,
431,426,934,042,432,772,810,587,995,176,467,950,808,572,845,908,098,406,352,
878,550,594,353,818,820,402,626,150,860,226,767,489,774,795,066,104,938,287,
634,446,553,338,472,342,386,568,062,626,154,189,579,704,265,235,844,917,685,
746,238,224,732,635,983,522,179,285,273,093,991,453,370,532,108,241,203,569,
173,340,647,516,991,295,651,903,882,076,654,627,138,261,345,618,687,598,846,
630,493,583,242,351,975,427,878,419,124,854,753,358,957,099,685,416,371,979,
368,693,592,632,290,493,754,768,352,853,392,586,410,550,061,988,446,535,465,
033,448,826,540,722,553,755,161,638,505,254,457,811,661,868,759,499,591,763,
882,084,267,914,528,733,913,525,560,414,547,698,395,893,512,601,176,981,802,
932,178,766,673,501,398,473,981,740,994,003,000,155,656,465,925,849,730,356,
939,391,076,335,994,248,960,329,664,485,787,098,754,787,170,757,174,427,126,
760,686,091,226,404,257,151,962,594,149,594,478,705,967,692,935,480,688,759,
947,092,364,908,306,803,874,332,711,455,311,573,198,099,367,086,266,233,849,
192,139,764,488,419,074,514,152,322,424,156,119,286,084,117,155,632,357,576,
972,032,822,154,308,349,692,609,245,224,929,379,098,139,254,188,986,083,844,
410,423,320,019,411,314,561,624,328,618,631,635,898,975,537,726,229,423,456,
048,355,733,776,352,074,283,509,669,118,964,062,586,782,896,511,335,107,983,
379,948,974,699,056,461,313,496,167,102,688,483,641,149,085,136,063,564,089,
392,501,140,742,142,612,332,275,843,275,213,017,904,373,675,796,216,338,290,
551,496,049,883,787,743,763,980,736,791,659,656,061,246,810,427,677,513,173,
372,036,688,712,752,811,138,870,102,762,898,248,273,416,280,816,619,587,308,
438,385,474,875,636,282,918,224,446,064,714,757,248,111,826,676,648,880,850,
258,963,633,465,711,922,444,312,088,824,491,489,700,456,972,028,495,256,325,
652,223,961,316,027,959,641,001,666,399,350,105,001,709,332,513,106,928,645,
720,691,544,381,867,260,698,051,871,526,101,204,765,562,128,944,226,974,294,
569,437,522,458,805,022,836,072,448,222,868,434,558,379,853,289,852,785,293,
147,815,540,481,048,986,429,662,117,588,311,244,999,550,322,715,535,151,166,
012,853,688,423,637,157,624,295,274,563,901,309,371,687,230,736,189,409,811,
548,269,113,455,256,772,575,002,824,066,634,017,082,650,267,655,861,031,072,
584,929,076,043,376,577,966,367,095,598,425,178,665,080,606,990,947,779,076,
888,261,053,732,260,725,277,898,534,399,142,561,277,658,526,660,120,076,806,
710,003,114,537,249,080,314,868,584,643,121,425,707,629,624,545,488,841,660,
766,797,201,743,108,212,814,304,760,461,419,988,787,215,204,577,179,263,483,
950,480,683,650,266,263,617,330,769,224,770,280,947,983,426,027,213,086,940,
046,172,060,499,361,177,043,379,100,961,072,343,408,810,274,202,234,931,058,
355,354,817,843,275,676,857,123,176,653,316,346,308,925,139,498,184,072,116,
594,586,542,869,602,876,721,878,910,605,697,793,450,291,047,603,901,546,488,
569,076,884,025,125,333,554,118,345,066,680,392,503,112,341,781,926,060,371,
488,981,517,767,798,214,295,271,603,718,368,999,807,801,591,107,552,219,154,
534,762,132,340,234,766,392,139,637,938,398,685,743,503,392,836,950,552,848,
858,077,602,880,053,059,866,529,498,009,228,705,861,544,660,434,715,852,024,
823,309,626,523,844,527,710,665,419,781,826,941,304,075,126,420,789,689,646,
876,745,146,617,902,650,755,418,112,403,349,054,014,797,603,023,438,075,850,
648,314,509,182,361,969,283,814,729,745,206,186,423,475,945,945,079,948,473,
109,325,108,400,379,711,949,832,650,007,464,912,579,582,315,018,241,340,895,
068,003,844,364,952,357,369,792,488,526,693,321,652,894,702,281,195,789,288,
072,946,061,983,218,699,383,881,750,610,258,868,472,113,306,350,013,962,840,
423,544,979,543,267,902,828,350,434,318,653,828,080,605,400,573,281,071,925,
428,094,520,550,570,874,896,045,044,695,782,815,065,810,939,216,587,842,637,
233,570,900,087,377,601,540,590,392,666,621,224,748,752,527,080,628,926,539,
691,619,640,144,625,972,340,801,349,516,367,818,156,673,912,572,101,274,351,
703,293,920,622,178,913,800,887,239,206,062,282,006,998,254,155,567,021,288,
690,684,888,567,107,898,936,582,337,025,588,648,404,329,770,967,570,176,740,
637,665,478,766,692,098,652,994,892,397,109,178,530,868,978,321,075,290,471,
044,817,502,298,925,023,815,072,102,677,959,343,944,128,398,148,687,310,250,
054,521,091,311,413,193,127,076,903,804,233,944,407,893,482,150,352,089,782,
258,640,660,473,115,476,390,266,318,355,980,998,351,520,415,634,917,737,122,
213,277,761,793,729,817,028,146,806,575,436,270,378,441,295,605,306,990,390,
452,264,901,515,345,682,824,387,035,682,007,116,161,570,961,026,501,520,796,
709,126,294,480,575,095,416,549,191,759,396,069,162,309,922,338,652,937,515,
570,823,302,151,484,597,895,101,127,541,204,867,457,982,126,970,120,652,323,
711,996,023,448,407,434,512,639,442,023,299,195,835,421,113,126,976,183,116,
958,039,908,991,940,924,290,389,460,094,512,543,794,615,462,041,101,447,840,
234,985,988,664,272,104,571,624,380,587,475,740,798,737,101,828,737,970,034,
759,924,927,089,546,653,876,898,114,156,199,332,295,414,948,640,886,709,345,
333,832,539,385,427,941,178,767,465,902,837,811,847,490,032,102,507,355,005,
725,840,922,186,933,415,489,569,366,265,714,415,223,949,615,651,241,940,546,
212,870,363,742,320,505,266,770,181,500,691,218,748,344,707,208,630,303,862,
715,916,988,470,574,087,519,396,524,435,624,777,345,616,082,811,778,170,418,
473,151,339,322,885,724,162,874,149,948,935,932,725,967,036,108,521,665,691,
308,516,260,165,219,978,672,368,035,928,720,274,992,813,700,702,834,934,905,
578,027,001,560,009,168,624,763,722,349,392,109,319,354,294,526,662,705,591,
961,390,397,317,984,818,721,395,334,048,268,284,888,941,323,737,768,082,106,
181,717,159,851,378,254,150,647,973,781,021,429,148,624,771,569,310,197,619,
754,968,401,676,697,786,004,229,043,236,610,064,811,536,516,941,210,215,751,
568,867,849,503,974,633,443,017,566,650,986,804,606,508,444,854,899,046,964,
206,461,677,921,504,553,792,599,920,108,173,431,083,036,839,833,459,720,062,
979,732,882,867,222,782,765,114,966,101,430,233,152,615,940,659,220,907,424,
450,647,507,141,294,767,092,991,407,390,998,739,742,255,639,882,605,511,638,
320,111,518,450,996,087,890,944,169,246,197,673,784,333,352,159,093,609,272,
589,050,748,535,232,552,996,180,626,841,520,798,325,875,321,412,402,456,060,
234,447,884,210,927,269,121,951,591,653,303,126,891,289,129,102,454,406,600,
742,177,502,066,031,772,602,129,284,759,419,489,140,745,378,650,963,856,246,
319,448,435,736,981,387,852,402,935,462,839,993,879,911,090,822,893,315,593,
500,613,902,546,924,645,591,833,114,306,836,686,227,330,457,324,351,625,768,
667,476,026,627,757,454,551,494,530,958,704,891,044,254,588,997,734,392,810,
366,429,423,068,844,479,764,031,552,977,070,020,532,372,332,991,906,578,438,
352,699,313,785,089,478,192,282,291,874,781,354,845,833,093,979,983,873,528,
804,877,175,446,214,621,969,403,967,755,132,809,809,729,234,377,986,365,898,
004,992,779,882,838,047,109,127,309,018,817,187,830,644,498,136,821,978,393,
631,740,242,774,066,261,927,972,873,010,863,274,065,841,774,259,630,289,902,
022,676,267,590,989,458,947,164,410,158,240,872,443,808,160,213,547,512,445,
582,671,270,802,120,521,072,160,540,399,137,735,137,444,531,946,903,749,663,
390,506,288,317,626,594,914,213,912,589,346,133,477,364,544,467,168,689,096,
052,485,083,753,242,124,785,045,866,857,811,310,054,363,379,577,546,573,022,
566,299,776,272,230,933,033,542,556,153,194,315,259,077,511,121,314,632,889,
913,195,496,669,371,087,342,949,348,311,035,443,108,543,942,674,346,896,277,
552,197,627,800,350,302,260,485,106,897,633,905,425,580,004,167,397,001,008,
066,371,139,146,981,637,081,172,739,949,905,491,541,617,232,786,295,665,901,
770,417,884,218,963,255,334,170,971,376,286,745,317,266,493,411,597,998,975,
273,023,135,008,758,072,339,468,563,427,707,894,132,296,149,974,796,463,420,
029,860,040,679,240,832,211,194,798,831,650,849,651,064,556,938,654,429,083,
807,296,886,623,309,940,935,616,464,679,737,436,632,291,782,087,441,949,166,
671,157,619,180,381,486,482,110,756,789,572,183,143,745,280,880,925,569,673,
844,241,133,784,245,277,011,736,545,063,561,540,766,613,447,037,365,525,631,
409,539,526,333,952,562,796,081,913,223,443,227,828,075,156,944,818,968,484,
210,717,945,894,324,594,030,681,910,079,322,378,160,555,725,605,930,137,238,
477,307,497,021,915,693,497,944,598,739,010,998,207,814,030,382,492,750,204,
143,516,340,986,793,616,962,078,261,651,413,861,005,759,421,369,525,949,693,
470,348,304,651,057,273,683,435,872,720,446,186,588,622,667,582,697,918,665,
148,127,303,706,914,851,105,951,397,448,818,172,403,637,854,261,498,823,994,
684,311,489,783,506,646,936,858,738,010,390,395,827,768,416,156,706,162,423,
128,312,499,580,025,228,699,567,331,635,808,372,508,582,153,818,356,992,762,
354,706,249,211,835,223,307,068,765,851,045,134,065,420,165,381,406,494,749,
943,818,510,970,833,858,649,973,699,061,539,520,422,200,230,936,377,461,996,
637,924,830,322,082,896,787,173,135,891,320,867,933,359,314,639,364,679,029,
884,750,391,500,488,908,200,522,565,032,861,610,606,718,077,617,854,636,187,
222,596,684,021,938,029,651,381,824,207,664,739,892,089,321,059,130,156,944,
083,277,013,815,886,034,466,532,998,147,970,601,990,493,137,973,242,735,703,
416,249,125,406,813,495,430,720,999,874,810,166,657,588,904,894,688,537,914,
794,989,723,951,739,991,837,268,978,692,668,732,758,688,613,077,565,588,317,
657,830,187,351,015,882,010,740,552,974,943,720,028,997,228,678,396,477,126,
394,159,838,675,139,373,479,137,573,190,810,967,294,117,828,079,069,168,089,
297,228,143,140,880,748,578,675,063,939,521,474,000,521,399,766,177,962,722,
668,378,968,472,419,624,645,890,669,656,781,165,250,197,230,505,835,362,358,
777,474,579,471,662,596,538,820,762,688,159,894,608,641,907,756,333,202,609,
516,437,005,360,598,923,620,312,547,007,798,786,660,738,572,142,923,465,476,
691,877,952,193,211,692,510,885,312,620,619,728,326,252,402,323,527,153,072,
681,862,745,041,312,722,951,596,938,131,419,286,944,418,678,894,004,893,716,
817,298,335,787,315,756,167,332,853,112,463,729,839,389,167,139,416,568,300,
948,552,363,337,951,284,578,068,988,384,012,734,481,499,382,992,336,812,966,
833,631,837,392,805,045,248,880,238,224,668,569,116,390,596,901,806,611,302,
004,710,725,666,160,032,032,068,565,473,118,972,076,069,592,164,515,570,738,
548,613,718,248,921,842,428,750,667,507,690,861,707,604,658,325,958,555,254,
808,168,796,955,247,885,993,886,844,643,987,099,873,994,354,080,462,434,367,
443,946,653,110,617,648,131,674,169,285,230,385,362,909,266,388,953,683,180,
382,929,639,875,790,942,757,055,687,505,348,500,349,729,933,049,854,113,122,
437,361,864,351,916,744,689,737,145,587,254,814,780,636,600,255,170,556,914,
781,641,518,062,585,161,578,151,403,051,805,651,936,573,344,724,481,292,296,
921,573,046,131,828,092,939,763,739,922,234,870,231,253,308,186,322,047,299,
289,844,949,381,827,663,232,208,650,381,212,887,249,288,472,206,999,107,951,
193,713,138,916,801,228,456,869,942,890,784,204,456,174,931,035,487,904,324,
342,227,626,609,525,103,358,960,245,494,894,991,127,065,233,648,080,032,984,
150,514,936,349,599,686,053,026,159,926,692,192,195,033,117,049,980,362,417,
984,974,735,276,670,220,111,595,299,020,078,545,192,546,850,770,899,969,977,
690,616,467,924,497,174,856,801,304,812,016,413,384,435,293,535,937,196,004,
698,699,822,448,114,177,600,947,782,978,324,303,303,229,089,578,704,090,182,
839,448,220,928,381,949,488,370,958,346,589,080,242,653,481,175,876,054,936,
228,928,963,932,073,825,049,469,811,129,352,154,967,346,813,797,529,199,709,
762,676,655,320,133,927,576,837,654,854,268,029,037,820,185,285,577,490,239,
375,839,334,035,864,727,303,531,487,441,268,523,675,047,811,127,518,339,732,
402,222,932,131,512,887,650,212,771,135,879,049,411,101,597,676,262,456,262,
319,474,377,259,836,468,859,789,163,461,183,983,115,706,308,757,768,321,959,
105,887,825,649,261,883,545,328,535,275,740,990,462,717,368,085,034,249,267,
396,747,322,793,755,377,488,194,522,709,805,350,995,111,921,756,078,529,729,
105,036,648,146,239,400,782,877,314,474,607,747,334,150,278,589,183,902,658,
389,886,614,846,633,512,841,466,079,406,713,193,505,608,419,356,466,186,878,
831,896,480,954,346,636,783,517,342,134,613,833,483,366,121,845,978,841,931,
994,974,063,384,952,810,784,420,362,736,958,906,300,368,988,801,687,269,441,
261,500,976,734,947,146,231,734,504,599,106,916,550,991,585,217,126,600,742,
129,643,235,825,394,254,614,811,606,580,930,006,223,777,045,336,891,022,237,
549,979,300,631,897,578,185,233,387,277,845,191,541,121,813,548,366,104,514,
805,254,963,266,389,027,747,958,834,856,014,547,625,701,786,942,519,269,821,
557,365,182,301,553,028,306,377,878,877,569,239,321,606,744,320,932,562,731,
683,916,353,279,803,015,879,663,017,549,485,717,962,669,738,291,519,782,853,
900,133,103,337,172,277,536,848,024,998,449,542,620,969,265,211,674,627,051,
670,650,523,578,465,587,635,027,744,128,586,395,990,980,983,991,065,850,365,
005,516,555,838,931,076,697,859,129,395,999,285,380,623,366,158,724,364,864,
123,208,512,526,541,575,933,120,615,415,796,424,489,361,622,349,284,817,858,
160,556,435,974,923,294,550,409,804,346,585,959,380,442,550,256,412,551,205,
897,813,666,604,201,975,652,031,463,673,774,330,064,045,311,151,773,134,531,
165,293,657,463,299,362,143,555,115,483,232,317,184,318,852,805,648,030,046,
824,573,401,509,699,886,111,881,223,089,051,548,710,022,517,863,445,011,819,
851,998,085,973,501,689,653,938,231,046,504,856,142,389,557,812,513,927,652,
715,076,915,335,193,281,016,418,918,825,812,852,907,733,882,081,421,471,353,
606,402,748,808,253,684,264,694,549,332,710,873,592,091,586,071,423,956,503,
001,426,837,809,161,001,150,572,160,023,947,165,147,353,147,192,299,101,481,
524,293,724,169,108,636,799,273,103,749,888,771,604,081,049,076,292,892,490,
376,464,948,363,475,037,941,737,742,506,111,373,876,932,518,272,243,372,208,
740,322,472,196,229,339,290,994,335,218,041,697,308,885,999,661,646,606,734,
369,291,912,543,054,656,934,040,337,013,605,959,490,554,291,756,347,187,443,
528,443,331,789,633,797,373,556,033,292,778,535,186,152,039,158,466,288,263,
490,392,684,536,928,979,028,785,873,391,425,435,411,031,844,708,085,723,928,
059,540,909,297,739,319,470,799,520,288,968,392,809,508,139,332,309,343,575,
729,997,170,601,054,735,494,553,166,329,489,568,911,802,537,215,726,589,748,
017,068,346,461,106,871,489,658,770,432,756,040,873,913,968,191,728,822,038,
478,258,491,262,039,333,609,089,423,426,318,321,633,715,467,989,389,515,943,
303,629,959,494,021,179,167,305,102,000,170,905,194,635,603,384,661,624,382,
531,124,902,597,342,753,457,316,536,184,696,223,603,924,411,030,868,163,429,
816,882,050,189,710,970,758,642,878,671,718,631,331,382,501,729,594,142,296,
932,081,923,246,848,011,887,733,156,739,720,414,105,852,080,818,097,704,729,
602,169,738,127,661,336,917,124,193,517,411,875,930,346,627,648,505,763,699,
609,471,192,299,749,917,139,863,539,845,740,090,970,188,817,155,173,466,360,
883,001,788,260,511,743,482,214,107,450,517,631,096,825,047,482,015,598,021,
235,861,660,675,996,586,975,806,683,322,883,206,365,600,448,852,124,727,873,
507,894,566,025,931,622,458,334,300,367,053,338,162,210,729,461,236,740,180,
623,122,648,073,099,963,818,454,450,585,702,784,827,744,561,362,413,804,310,
322,915,685,560,425,315,668,747,604,308,867,528,385,465,505,024,365,827,895,
508,348,528,210,218,131,965,488,021,427,008,813,280,097,078,998,078,333,937,
859,826,362,045,032,205,554,761,500,391,652,133,592,634,825,763,385,652,062,
665,186,422,501,317,813,362,771,470,552,605,937,369,905,926,615,974,527,847,
339,255,995,703,185,547,702,727,635,122,504,228,214,505,998,012,505,472,139,
149,885,582,088,529,709,431,179,665,943,047,404,856,583,907,793,584,887,667,
226,433,997,511,577,728,240,038,086,895,203,423,252,256,253,898,833,872,630,
552,692,505,116,419,961,653,904,202,158,628,151,530,563,192,464,810,599,628,
796,179,965,217,116,528,882,379,138,277,079,223,903,365,078,887,514,078,709,
325,548,366,884,603,733,644,899,343,429,827,070,604,935,641,442,289,385,190,
148,699,617,998,328,346,941,351,892,163,415,217,615,514,650,128,283,021,116,
694,441,092,381,943,164,002,542,680,345,572,873,675,316,194,338,119,771,714,
186,026,942,476,857,298,209,484,713,512,204,324,749,704,517,243,834,376,958,
121,519,958,699,401,067,368,367,122,222,957,738,382,860,814,840,340,481,448,
551,084,367,928,972,555,710,350,806,596,177,262,774,202,199,304,712,510,872,
144,986,669,711,962,419,710,859,494,401,176,327,290,803,535,986,426,844,714,
174,651,595,810,897,994,971,185,977,833,845,139,430,990,402,010,240,932,194,
537,550,048,158,467,649,840,809,918,328,236,495,470,426,471,132,223,951,654,
626,624,205,170,709,553,752,049,987,536,018,728,060,993,025,985,982,841,726,
508,368,846,849,736,515,710,192,808,630,965,374,573,927,786,013,336,468,606,
700,890,066,610,293,558,742,015,554,829,611,194,226,535,223,764,641,721,923,
563,484,201,182,189,103,737,280,186,524,501,075,922,330,160,130,181,114,620,
104,602,432,411,748,276,725,872,139,508,545,435,577,366,272,995,974,983,159,
110,005,454,194,644,988,389,278,702,184,507,304,550,558,072,203,143,951,325,
318,390,580,904,497,520,896,212,468,374,963,052,290,687,381,369,623,219,610,
468,065,188,624,262,209,262,208,535,240,790,560,191,958,036,513,901,243,301,
553,212,115,282,860,866,730,828,843,974,782,461,421,230,752,897,026,765,464,
728,569,803,653,090,571,361,465,537,528,306,410,969,227,602,062,417,979,866,
116,025,942,847,981,592,732,182,861,756,040,202,598,335,720,340,442,877,127,
516,953,127,216,258,660,848,992,238,565,073,756,636,529,314,194,006,026,324,
781,975,288,051,972,921,193,451,430,075,387,026,537,439,801,453,514,684,812,
023,141,565,035,480,759,445,956,571,511,502,449,966,122,025,118,300,293,590,
975,010,084,358,158,452,256,226,612,185,585,246,058,266,402,649,272,190,593,
773,122,541,117,510,078,946,607,148,201,323,078,391,267,634,269,653,673,583,
600,362,100,722,962,380,292,005,805,399,336,942,035,800,606,191,305,770,709,
459,900,221,523,302,294,572,671,816,344,798,504,979,477,684,532,060,950,386,
304,341,580,690,503,441,939,883,696,549,203,623,228,847,088,586,879,385,942,
234,432,777,689,584,138,478,118,802,383,624,258,649,651,422,060,732,224,347,
622,704,642,521,972,801,343,127,381,479,814,750,148,149,501,597,631,150,785,
422,230,059,417,181,733,956,082,178,029,192,996,332,168,536,843,897,176,072,
727,267,415,001,985,492,485,601,653,025,537,363,340,164,963,526,508,106,385,
727,709,449,081,132,856,196,152,834,097,794,825,255,815,092,866,182,583,664,
198,399,978,233,865,927,891,903,781,893,844,566,598,643,056,409,687,239,396,
891,964,095,144,193,515,424,677,259,839,671,819,957,250,248,983,059,465,975,
971,336,745,810,512,546,574,384,570,634,795,799,732,061,216,169,141,659,444,
926,220,902,563,711,201,598,685,097,750,412,744,361,220,527,448,453,945,765,
334,935,616,292,693,382,603,579,437,083,025,778,127,474,172,916,636,014,780,
324,403,911,601,123,848,599,540,701,983,147,052,187,214,848,519,747,346,592,
742,514,596,080,667,160,636,638,911,335,656,158,760,615,779,688,224,795,538,
262,501,084,660,569,408,285,896,467,289,699,013,361,072,502,691,021,836,248,
369,686,587,720,618,772,368,269,945,971,108,822,643,717,648,507,870,448,302,
042,675,863,831,868,005,786,791,929,354,094,665,081,810,059,014,654,671,079,
369,445,978,206,533,019,688,020,340,623,558,001,264,588,549,301,595,665,787,
584,612,298,746,955,348,611,387,349,596,329,479,764,148,854,290,707,657,253,
323,089,292,643,460,254,058,486,081,296,310,705,814,252,779,785,349,995,410,
544,138,008,477,464,730,987,286,887,447,113,288,384,071,044,331,419,808,393,
957,083,635,996,219,595,134,654,682,061,465,527,302,374,472,541,221,742,569,
719,799,500,089,291,023,241,444,910,490,870,729,987,665,407,411,989,224,630,
503,870,982,414,703,811,272,897,510,987,583,607,637,845,671,180,111,405,273,
180,962,662,450,483,367,195,280,819,068,371,405,953,957,519,041,976,300,838,
056,079,132,348,462,692,437,535,890,334,282,676,881,154,753,085,138,276,101,
346,595,957,365,668,141,755,399,499,751,697,310,151,665,432,176,151,650,196,
740,874,271,576,251,960,986,608,341,861,273,741,627,287,974,969,852,230,586,
078,301,612,928,456,851,305,676,816,895,448,805,686,403,673,969,921,450,436,
142,313,247,046,567,595,369,650,554,836,552,474,252,550,812,073,935,532,891,
067,848,128,222,918,414,328,747,877,720,394,543,230,565,558,338,366,621,553,
351,688,281,287,101,541,567,651,922,992,936,694,197,400,352,222,590,447,659,
349,722,455,887,920,698,334,176,282,430,301,471,525,362,281,818,379,374,387,
075,305,793,058,862,374,866,002,285,737,519,883,774,294,815,555,305,298,050,
394,548,814,514,030,670,709,943,584,459,200,313,795,163,283,713,919,501,733,
068,484,150,028,068,772,362,693,923,299,733,243,613,367,713,667,399,431,877,
701,949,457,728,400,603,574,583,642,558,626,972,152,498,973,687,756,782,340,
055,135,067,339,177,786,124,673,071,865,439,434,338,703,100,252,527,863,766,
672,517,648,495,119,846,815,823,257,442,780,742,850,097,122,292,601,379,784,
919,226,885,504,207,858,427,653,438,128,732,677,784,412,904,517,523,304,478,
246,873,162,471,507,329,725,960,598,189,477,618,141,037,293,296,538,427,098,
343,001,647,711,108,724,647,804,515,543,278,521,510,711,268,558,882,173,112,
039,168,004,037,980,428,183,234,216,963,485,492,105,734,991,573,253,026,334,
418,840,784,343,488,158,952,756,766,108,208,785,668,535,055,851,003,147,650,
195,674,964,112,494,760,325,342,496,441,809,789,980,914,361,823,004,180,721,
689,118,253,172,553,388,215,398,727,616,792,937,454,474,040,225,455,029,645,
177,063,864,525,457,939,341,997,488,793,162,307,480,746,998,207,171,254,092,
290,710,493,393,036,346,792,546,231,552,213,394,505,791,041,301,675,448,618,
795,687,888,090,782,964,232,853,014,340,881,999,555,455,836,080,217,424,859,
078,324,486,207,325,161,342,352,258,392,793,381,591,769,795,125,992,647,633,
547,312,573,785,771,860,153,696,850,580,560,190,977,682,037,401,421,339,898,
372,517,068,972,693,576,456,574,508,247,467,895,648,407,027,139,048,815,514,
722,351,163,889,039,119,470,300,717,002,161,268,425,906,767,835,331,964,114,
502,030,293,326,731,418,556,445,699,546,265,870,487,131,656,854,010,107,985,
255,141,280,811,998,057,844,519,679,948,891,909,415,399,810,993,357,586,318,
190,487,443,634,659,856,996,488,431,315,966,003,335,679,535,267,673,041,254,
475,131,332,056,342,430,990,389,783,022,814,127,534,594,686,034,133,516,682,
171,368,620,986,623,301,584,580,355,465,093,149,737,556,679,081,471,394,605,
257,810,922,765,415,823,086,325,135,259,350,707,789,785,301,358,459,369,052,
260,481,768,874,806,161,777,156,016,608,709,082,024,456,628,123,101,470,195,
447,461,800,395,006,335,081,019,088,857,156,015,158,070,367,878,836,884,008,
160,929,819,084,552,446,412,668,717,362,589,255,096,908,702,507,297,460,807,
442,731,008,046,304,044,317,845,180,117,239,486,969,674,422,740,168,587,347,
141,520,226,671,562,450,915,015,487,206,805,669,080,304,853,525,458,171,142,
256,061,732,340,336,888,752,599,120,083,412,254,734,936,909,177,504,593,365,
014,539,093,509,303,519,460,080,380,147,771,198,180,263,191,873,028,061,943,
917,118,834,367,295,460,868,477,679,497,995,746,246,724,193,331,821,715,282,
050,754,490,168,861,132,403,154,421,246,046,598,272,220,067,861,412,003,197,
315,142,702,865,507,715,607,189,661,771,546,217,299,325,439,723,924,599,869,
534,199,019,872,949,392,160,524,893,188,867,939,181,109,017,994,644,646,602,
045,810,503,453,916,132,109,579,915,226,469,502,948,963,023,151,416,056,768,
330,855,959,434,860,222,694,826,125,848,562,655,449,293,391,837,719,261,411,
730,765,051,137,570,981,255,387,560,815,571,206,661,390,953,658,040,738,401,
891,334,410,485,207,944,425,917,035,074,332,648,857,509,059,749,064,404,227,
397,732,843,389,719,621,857,465,621,392,901,166,964,469,184,067,017,313,664,
556,952,845,206,241,539,044,531,946,078,657,364,456,722,102,997,777,830,081,
481,158,791,492,619,710,114,625,366,871,292,228,671,953,286,512,718,138,059,
503,796,422,134,029,513,785,382,157,789,396,353,369,502,006,281,212,833,915,
325,450,067,960,091,354,945,420,108,747,176,673,335,612,498,961,355,866,370,
148,709,720,292,892,811,880,185,654,973,389,132,160,858,850,993,061,763,944,
340,728,329,053,326,434,885,992,357,294,402,883,887,469,040,187,755,017,528,
508,338,303,027,870,311,821,716,194,125,452,748,578,324,194,191,717,979,751,
129,793,752,632,619,303,195,655,153,274,574,495,059,490,719,032,908,061,772,
595,924,322,205,686,346,763,665,248,513,263,344,718,827,816,731,513,611,067,
046,996,044,806,670,250,953,370,627,486,048,856,206,155,614,404,636,869,844,
636,261,090,466,617,230,038,768,297,325,227,721,312,671,213,305,833,470,094,
857,953,610,712,502,642,234,718,980,803,354,037,984,539,165,129,496,211,484,
664,999,704,544,069,066,745,761,072,488,895,473,794,748,801,589,029,282,624,
330,968,450,893,770,112,388,105,004,848,527,758,239,153,162,091,141,039,061,
843,813,591,681,999,924,275,305,062,994,882,376,058,738,875,259,315,641,131,
320,724,013,252,307,375,129,621,855,604,079,294,458,799,401,328,709,159,532,
970,398,364,159,436,044,482,468,494,069,631,123,841,596,609,490,505,499,275,
944,080,052,968,666,991,054,901,060,441,274,999,475,035,948,313,547,464,706,
731,934,665,724,716,624,266,925,135,888,207,628,040,806,996,960,619,066,860,
796,648,823,502,431,550,240,118,247,468,533,860,450,261,208,878,095,530,176,
425,883,180,958,905,342,134,409,696,721,580,832,239,056,597,947,472,743,598,
251,404,870,610,236,440,804,292,222,718,569,785,011,092,892,098,115,707,016,
144,188,614,104,961,165,251,962,982,197,437,318,123,434,197,887,832,418,162,
038,464,333,238,620,478,326,452,425,585,534,378,219,677,186,191,677,662,315,
974,288,752,042,254,428,210,296,797,505,173,762,992,780,143,242,069,588,544,
324,745,493,407,971,913,459,673,649,661,389,993,161,373,939,745,185,919,839,
982,190,684,257,279,071,247,359,950,457,631,969,665,644,971,834,271,346,569,
784,380,709,800,203,290,044,983,782,799,630,504,597,724,679,890,426,966,636,
832,429,521,764,249,436,518,208,166,292,000,716,037,859,815,439,830,977,644,
883,581,086,694,217,035,831,221,661,535,796,221,216,777,426,790,807,004,094,
210,252,540,994,419,644,510,755,633,874,640,677,984,247,075,844,737,940,334,
198,518,299,982,333,635,021,492,100,879,067,502,883,574,673,543,836,355,580,
039,513,958,945,809,306,610,868,740,717,637,904,236,314,464,926,205,947,720,
620,554,406,460,413,418,120,373,482,956,004,220,224,851,681,275,111,713,156,
256,882,071,718,827,875,551,937,616,274,415,301,886,857,609,646,396,568,049,
305,442,506,426,687,877,512,651,373,432,727,518,770,104,451,443,161,904,050,
592,882,096,493,306,783,885,645,628,737,063,567,860,127,780,756,080,274,254,
240,675,096,381,475,222,042,450,576,812,024,106,825,455,646,538,053,513,399,
026,350,492,397,813,836,040,621,484,709,341,936,698,973,212,023,440,981,668,
777,518,373,136,474,571,509,809,268,678,447,310,243,977,508,350,035,264,251,
398,353,668,108,980,488,621,863,624,561,447,750,430,387,761,174,186,189,511,
916,706,868,900,988,808,666,490,222,443,510,799,975,653,229,257,260,600,963,
788,616,209,064,469,881,722,365,976,703,551,615,931,227,822,784,256,060,380,
349,827,561,159,435,217,032,391,129,285,510,211,153,846,572,776,601,688,679,
693,969,111,950,189,468,326,024,856,425,940,891,701,965,880,966,224,465,941,
040,319,920,320,685,389,794,359,662,930,793,067,749,712,764,814,680,319,619,
310,336,516,188,497,935,812,655,519,962,963,163,284,003,594,612,360,620,514,
592,690,034,321,558,068,791,493,597,243,425,933,212,876,826,509,928,117,241,
667,554,767,219,555,664,743,425,758,346,459,879,524,230,210,943,061,898,473,
830,577,675,984,212,749,156,940,157,632,063,467,987,852,451,617,796,907,183,
603,330,786,272,684,274,987,262,771,850,776,313,269,177,865,720,707,132,974,
869,726,842,790,273,273,132,403,375,001,761,224,087,327,761,511,191,038,378,
484,192,879,605,391,153,017,647,884,746,686,881,901,776,484,701,569,146,593,
723,949,094,114,893,273,051,356,782,934,189,637,421,880,673,829,838,346,728,
377,158,890,893,393,702,545,730,850,865,450,833,455,766,902,529,259,499,017,
623,111,030,871,553,966,160,822,068,887,413,720,355,145,003,865,219,081,174,
989,354,634,727,104,954,821,279,484,422,051,870,848,576,962,036,355,407,756,
426,397,235,394,473,159,811,912,763,411,074,924,309,705,249,249,786,880,514,
751,083,345,712,017,072,368,004,542,734,356,825,406,492,622,550,015,255,433,
853,476,516,007,678,446,687,684,077,554,854,855,773,679,167,347,331,982,858,
800,715,538,119,401,476,270,792,109,099,517,070,960,430,866,755,088,484,362,
191,959,149,985,940,476,198,667,058,115,114,293,151,557,578,368,940,015,699,
907,041,008,775,726,685,622,559,581,623,090,158,432,905,321,852,681,917,830,
523,642,259,834,243,132,483,968,920,861,441,002,188,509,601,140,921,298,011,
611,847,347,670,116,433,803,359,310,623,311,828,879,576,857,817,106,951,592,
554,957,078,360,892,891,264,894,883,163,511,295,454,495,297,787,056,308,886,
466,914,771,210,232,491,852,063,301,160,286,288,291,239,895,624,631,450,227,
165,357,760,840,635,134,032,209,762,473,467,079,622,206,317,960,041,872,758,
471,409,404,049,527,184,943,830,198,483,179,294,606,421,961,809,152,751,134,
397,220,267,030,507,856,161,151,266,253,447,811,585,162,405,758,556,726,996,
451,031,507,840,255,117,412,832,615,675,556,639,902,773,530,849,050,042,568,
869,459,366,237,471,625,936,626,305,647,466,632,542,421,011,178,196,873,546,
710,650,017,865,920,930,128,386,520,515,816,294,687,039,365,807,987,700,244,
768,061,620,629,953,921,554,068,918,470,557,151,866,330,751,106,613,278,240,
669,105,395,882,330,170,101,291,698,930,698,072,694,482,582,297,883,031,244,
918,183,007,952,930,339,947,616,088,006,642,320,779,271,221,632,466,782,750,
096,871,980,351,084,971,786,759,280,140,062,442,196,018,549,607,664,840,078,
972,192,700,054,305,753,914,149,784,317,632,767,228,565,609,819,214,194,088,
339,662,553,913,109,961,350,317,232,977,140,490,978,031,827,194,728,924,957,
941,058,031,832,854,458,072,237,643,622,063,248,673,380,947,767,541,032,819,
150,333,523,232,620,499,746,395,843,339,667,023,042,717,302,827,348,210,676,
163,525,150,503,811,811,237,915,390,746,096,719,990,221,609,597,744,868,321,
335,671,523,195,327,225,433,631,985,694,932,231,139,264,528,046,325,624,710,
085,674,715,024,117,968,603,572,271,357,825,857,837,834,329,471,385,056,349,
379,026,271,673,220,871,700,943,245,569,336,511,827,143,933,314,662,464,314,
622,930,135,344,822,885,328,632,908,565,924,689,016,421,027,190,836,551,103,
408,741,619,310,943,615,104,750,520,579,245,664,122,270,531,972,652,902,826,
526,528,144,921,979,484,467,324,658,697,926,014,926,769,780,739,434,111,076,
801,618,550,609,180,803,934,273,555,741,221,231,143,907,506,141,359,595,557,
491,815,672,539,665,161,173,113,761,165,368,415,618,102,657,253,419,416,252,
990,131,505,036,834,139,173,647,302,400,787,459,261,087,475,677,546,608,951,
659,624,314,043,235,403,217,224,435,226,370,816,464,063,678,722,611,824,273,
346,177,479,545,561,439,633,522,147,330,220,310,563,015,728,091,531,197,686,
593,225,748,999,543,327,906,480,676,760,028,894,241,999,614,189,057,812,049,
761,719,558,889,336,728,268,344,849,635,773,569,929,182,319,578,413,593,377,
436,262,428,493,085,756,309,909,548,575,839,067,552,711,999,035,457,940,781,
056,042,489,485,825,912,865,886,537,300,626,384,772,378,861,135,699,535,699,
250,160,091,190,657,564,037,551,212,282,390,147,376,553,025,938,677,500,058,
503,283,792,192,890,782,852,097,786,336,834,515,743,089,475,473,066,142,282,
683,879,111,255,136,683,078,182,741,878,291,763,002,595,453,718,880,099,858,
001,898,733,984,494,328,084,895,927,307,493,902,926,392,635,563,888,094,855,
895,820,399,415,148,922,258,735,881,121,526,519,583,451,656,259,742,581,951,
591,856,195,010,840,572,472,819,010,394,515,536,119,441,637,162,595,515,852,
798,317,518,241,441,380,445,262,422,865,564,245,977,365,120,734,997,209,400,
350,337,920,133,240,906,321,288,012,874,041,500,927,777,872,923,224,257,869,
936,469,125,212,252,853,229,395,897,818,541,592,722,617,392,150,319,412,314,
147,531,523,725,470,757,558,958,249,116,663,659,797,515,530,387,959,652,144,
252,164,461,891,342,189,636,664,256,484,364,058,697,099,545,294,138,573,395,
803,014,740,974,868,583,068,895,709,680,644,895,618,069,281,913,521,034,850,
931,615,489,058,546,552,517,883,412,933,248,270,875,067,806,099,093,505,457,
905,063,198,946,525,355,040,404,453,341,980,608,642,182,076,732,627,514,853,
911,744,614,898,651,818,374,319,607,622,555,835,085,782,722,344,610,287,679,
821,400,287,346,956,118,128,969,595,760,036,252,547,829,436,921,316,225,188,
099,173,200,581,938,870,611,478,042,388,353,819,044,219,971,586,904,673,738,
706,252,491,760,325,754,795,265,878,968,360,797,384,060,427,898,509,514,029,
228,667,384,498,640,908,357,281,355,871,530,885,581,994,235,713,572,614,627,
219,028,481,863,097,142,688,910,335,812,888,044,347,069,377,254,677,950,350,
323,750,835,649,066,440,121,888,638,376,822,283,481,249,740,733,539,158,983,
019,719,987,403,480,691,555,266,488,331,347,037,110,819,321,412,010,023,485,
957,948,186,258,179,982,472,865,850,491,307,852,628,096,194,505,829,298,552,
043,592,656,080,231,306,139,649,107,257,204,798,245,502,686,637,817,980,890,
711,964,666,789,681,355,695,634,427,752,701,636,410,710,476,780,692,611,574,
240,704,611,300,603,459,664,437,768,780,370,845,837,369,527,587,969,017,083,
329,427,199,752,220,271,733,061,872,750,998,633,861,615,664,061,302,209,306,
568,574,258,470,173,020,672,121,928,722,508,025,816,054,176,466,135,279,962,
817,289,960,132,492,189,751,660,659,305,816,529,857,618,152,426,160,328,382,
523,229,761,469,309,263,427,098,555,360,251,963,813,203,838,696,057,483,450,
050,778,644,464,829,259,307,167,329,017,680,301,286,495,673,045,189,620,977,
450,901,894,453,812,086,669,660,254,449,279,988,577,227,617,134,655,436,299,
257,527,688,721,894,728,393,973,046,982,022,237,122,965,013,675,542,255,473,
635,761,973,668,467,831,652,584,423,903,127,887,465,354,964,956,105,747,593,
832,375,166,352,749,144,675,146,350,013,465,464,180,306,381,041,947,369,402,
741,265,245,384,274,112,359,408,996,557,227,749,164,947,390,619,286,278,129,
604,531,904,032,663,205,835,357,503,505,195,043,836,401,821,987,374,210,751,
792,526,975,446,620,502,909,246,742,478,177,184,245,066,824,296,611,401,941,
552,493,094,503,466,435,496,927,540,438,683,807,294,982,595,985,468,235,550,
865,642,679,142,933,792,886,966,270,933,312,529,232,813,352,910,539,252,845,
121,071,005,343,556,390,300,157,857,455,637,887,821,025,109,386,214,128,428,
250,419,620,157,592,290,105,209,638,848,488,398,601,521,924,957,691,397,520,
775,227,809,707,475,911,044,256,451,475,068,321,313,860,229,139,113,927,499,
156,189,705,054,002,283,809,583,351,940,998,280,682,221,253,118,822,895,219,
981,113,489,476,052,066,688,333,507,138,891,063,350,640,047,194,680,175,040,
682,484,590,517,890,727,843,432,632,829,865,588,038,861,115,454,555,760,535,
870,180,802,888,137,340,239,304,839,662,316,679,266,844,055,103,012,747,843,
844,449,730,154,409,636,109,041,544,155,906,054,331,874,868,114,160,641,239,
006,485,828,725,600,268,456,770,157,319,425,154,787,404,267,032,168,676,007,
564,367,216,996,653,928,168,518,336,224,565,928,691,551,975,001,679,890,247,
440,434,307,487,836,613,087,611,700,684,523,803,909,402,370,361,313,052,767,
440,114,542,043,454,694,962,477,597,547,240,320,681,808,689,212,744,111,329,
048,642,810,740,947,112,638,085,746,517,084,775,714,703,585,657,435,332,528,
792,971,691,013,879,269,519,427,102,755,884,113,144,357,973,877,591,447,270,
655,638,801,907,240,043,325,554,547,964,133,139,101,201,142,867,845,020,830,
605,049,711,982,773,517,515,332,741,411,734,039,020,554,862,571,092,392,028,
176,447,652,785,858,469,043,141,353,755,919,065,266,881,639,382,438,147,725,
097,881,711,101,089,293,288,871,119,310,597,461,680,570,372,808,369,729,021,
907,230,660,337,601,399,444,902,859,861,618,298,718,486,424,657,336,046,236,
836,933,346,404,434,971,931,478,826,694,843,696,515,189,755,571,358,402,972,
589,525,854,144,300,188,569,564,841,081,266,650,566,600,042,632,754,308,483,
200,137,983,646,154,091,870,663,265,991,223,858,975,882,099,864,110,431,552,
360,398,656,888,096,259,403,473,384,867,146,468,117,112,400,805,254,405,995,
835,501,993,318,174,839,601,845,199,601,826,772,711,489,380,711,641,835,372,
423,337,297,027,657,535,425,633,515,871,276,958,046,433,988,030,731,253,722,
931,656,131,507,064,256,001,300,887,354,896,317,371,056,170,402,013,788,102,
123,266,742,414,365,276,880,789,827,286,890,740,882,088,220,144,494,615,872,
874,564,147,753,315,323,386,059,051,923,163,626,311,636,105,493,119,677,026,
536,076,949,025,395,297,359,740,354,770,633,143,331,737,417,401,769,122,898,
024,344,037,405,760,279,297,374,831,887,915,181,888,249,875,462,255,074,860,
522,893,648,665,754,351,615,679,489,210,306,676,875,333,122,894,956,122,676,
506,990,640,799,045,997,849,471,865,729,909,306,049,734,171,260,251,643,519,
386,150,343,012,005,168,442,980,329,443,951,985,445,426,933,039,370,797,168,
909,479,632,661,861,789,620,002,537,460,004,330,575,955,782,476,655,974,134,
524,075,885,582,233,791,788,424,444,717,617,360,099,500,519,358,715,666,395,
844,036,857,242,834,454,608,565,978,221,024,808,296,914,056,606,075,968,117,
874,217,229,113,682,561,479,543,394,525,411,304,743,826,739,965,886,822,257,
188,977,584,638,958,122,930,656,288,844,188,264,764,847,876,249,338,640,891,
820,982,459,466,118,182,044,053,513,325,039,328,304,440,998,244,674,413,132,
192,732,355,500,019,091,508,372,748,744,639,507,687,861,740,091,478,045,653,
214,218,435,659,503,342,859,959,591,452,751,269,377,049,303,136,810,465,734,
901,194,533,738,196,447,373,766,942,851,263,614,662,007,789,627,383,294,832,
628,476,095,249,202,064,562,076,253,851,736,006,685,596,837,177,313,068,732,
173,044,038,278,714,429,004,723,093,327,857,349,011,415,892,566,233,546,749,
290,459,275,791,621,266,823,432,962,739,059,925,900,608,254,561,095,230,333,
415,327,050,774,222,109,348,874,256,580,399,656,840,114,281,667,217,668,315,
468,204,341,672,332,088,451,092,363,715,501,772,666,410,832,287,144,915,772,
559,797,736,289,993,996,551,511,567,373,828,347,427,941,314,427,134,020,430,
039,489,650,807,460,000,633,666,651,055,572,401,814,611,915,123,495,159,441,
765,913,663,019,502,350,001,773,818,429,026,264,564,078,507,892,998,122,401,
066,298,768,530,464,824,636,319,573,980,728,286,172,081,741,571,096,943,700,
715,796,389,064,337,963,290,770,405,037,647,971,262,024,962,416,836,310,424,
186,862,940,235,735,146,090,164,553,931,222,771,583,306,090,039,420,426,950,
533,453,428,213,010,268,971,071,310,028,716,708,318,500,031,986,374,680,020,
556,959,083,188,414,079,864,290,489,859,068,937,699,045,970,991,218,055,880,
833,559,383,232,117,850,921,140,468,931,621,735,164,304,758,768,504,235,872,
882,382,827,313,527,506,724,158,738,975,279,034,663,467,140,047,969,507,483,
248,224,365,474,626,412,041,954,262,609,724,907,522,729,886,390,618,504,620,
782,244,288,436,519,608,501,117,760,388,756,738,671,200,699,285,029,988,531,
601,313,513,578,643,745,642,766,812,672,060,551,922,336,547,521,093,863,742,
390,876,374,654,611,804,369,114,043,604,505,777,110,492,698,004,894,295,604,
409,763,336,444,264,475,067,853,520,592,117,688,926,852,558,206,180,047,733,
234,588,071,005,035,091,280,014,857,705,290,142,359,973,178,418,259,091,673,
075,882,984,970,253,201,817,646,898,619,857,493,125,244,131,384,308,491,032,
279,509,531,769,028,405,390,689,574,782,775,213,430,731,373,485,052,131,930,
452,934,081,076,309,285,467,890,670,943,302,598,356,464,528,202,454,261,455,
648,285,014,158,703,373,624,241,531,153,955,016,604,865,834,713,534,793,108,
070,033,051,920,681,983,288,542,722,566,294,878,316,582,437,480,605,206,418,
230,623,660,517,860,494,394,549,101,352,621,043,456,265,310,991,973,923,618,
889,143,654,107,304,328,286,035,194,926,983,959,758,069,648,070,885,310,417,
579,585,109,132,133,681,864,701,180,826,319,816,135,281,139,523,196,103,165,
481,325,265,111,750,526,064,769,161,960,489,505,366,897,365,788,170,582,974,
586,420,964,024,398,378,367,894,559,777,979,401,715,274,057,791,551,343,216,
842,253,031,039,590,996,742,441,591,354,757,713,606,585,524,406,824,828,525,
986,949,993,631,182,691,086,463,110,861,113,319,395,465,023,912,244,464,972,
300,693,269,057,159,518,015,149,548,901,215,380,837,685,942,171,497,370,171,
454,136,198,648,382,793,729,278,884,849,524,330,564,575,436,422,626,757,982,
669,574,384,567,269,308,121,063,666,344,998,615,350,653,520,502,379,697,661,
168,989,459,329,734,959,621,837,420,520,032,479,043,648,138,159,164,450,093,
600,460,132,416,459,977,530,817,287,564,413,277,927,048,155,712,171,003,031,
063,011,785,049,585,829,784,474,420,330,693,945,784,455,842,890,183,246,472,
618,716,871,651,100,031,164,507,860,203,208,532,170,091,072,780,145,608,390,
888,577,105,020,685,051,108,484,856,334,407,135,697,867,028,106,209,610,754,
727,488,832,897,958,518,417,376,799,798,610,909,970,547,458,789,819,868,462,
900,309,997,713,207,848,028,382,496,773,138,806,686,521,116,912,837,696,721,
154,112,840,936,361,022,674,487,979,596,456,317,778,442,136,713,202,233,330,
508,305,559,746,256,602,098,237,783,777,414,877,366,485,529,880,839,162,883,
549,124,823,885,138,395,961,168,918,193,076,616,494,972,700,781,334,069,780,
626,835,706,224,018,719,308,290,019,437,190,606,597,356,358,307,529,148,746,
219,507,163,142,531,961,765,127,259,581,397,977,477,207,272,739,774,914,726,
901,713,943,149,906,460,349,913,989,364,657,792,498,623,442,218,316,533,831,
699,686,193,230,726,741,562,647,873,536,970,993,276,082,671,635,956,055,427,
391,434,816,548,071,250,532,208,084,828,411,848,969,903,429,911,656,739,913,
533,401,182,113,752,932,051,648,358,303,089,737,205,418,977,723,695,764,216,
767,465,187,470,373,229,383,801,999,096,575,833,575,444,849,374,326,385,808,
981,979,266,161,964,558,405,690,195,978,413,155,741,537,203,401,003,261,345,
709,921,905,176,293,251,801,809,532,754,067,773,734,544,081,580,157,198,087,
694,675,184,689,244,733,482,440,181,019,026,057,652,448,512,793,050,866,608,
652,671,406,728,431,649,091,664,487,871,393,337,956,703,258,392,610,761,297,
100,531,508,088,790,234,977,282,673,143,089,955,359,624,415,556,170,623,212,
526,543,917,800,527,284,289,300,752,099,963,899,463,721,515,017,611,884,299,
305,548,391,804,310,004,766,981,180,238,847,458,344,310,404,282,035,334,816,
695,647,270,378,396,156,834,597,497,039,775,040,852,577,764,528,100,523,348,
508,046,833,197,339,790,160,387,065,041,081,454,340,387,334,647,839,199,729,
124,181,927,967,273,035,093,529,191,483,824,377,286,491,409,208,288,116,112,
147,521,294,557,506,580,470,614,318,090,395,708,264,866,727,716,327,465,453,
034,130,201,115,850,191,668,034,209,668,056,441,484,169,121,223,097,086,300,
715,813,468,581,341,683,086,365,197,106,901,893,249,404,289,820,997,562,279,
157,312,259,931,368,125,698,618,278,789,364,075,772,840,382,376,437,203,432,
476,355,272,147,614,545,112,974,687,890,622,027,970,453,092,536,307,877,938,
173,266,527,455,334,383,608,671,723,493,339,089,843,567,061,500,806,879,345,
783,037,239,571,015,989,930,703,993,192,281,440,435,025,567,092,254,589,286,
735,257,139,326,417,339,020,253,594,173,046,029,607,498,707,370,656,733,627,
052,915,541,839,293,217,776,366,644,386,596,987,483,875,911,622,362,366,066,
197,898,388,471,187,669,182,199,610,724,612,576,806,320,705,873,186,960,280,
546,812,590,022,614,005,712,657,213,454,141,366,640,259,422,507,202,554,867,
529,865,398,814,805,428,681,918,741,793,111,114,815,596,267,049,467,735,080,
911,738,680,011,999,587,102,722,918,822,042,193,622,579,842,335,719,694,898,
469,235,394,003,090,382,568,202,128,975,381,026,667,771,626,662,474,681,148,
166,737,424,029,371,604,420,540,379,573,387,009,321,525,473,959,552,833,283,
615,627,607,822,817,868,931,912,061,928,207,330,505,797,438,369,958,425,054,
646,450,996,617,223,472,495,072,966,011,035,767,922,314,151,219,928,881,919,
890,752,199,759,638,592,933,456,491,590,428,514,734,365,894,403,207,808,686,
863,392,219,582,624,961,814,237,519,314,101,795,726,892,135,050,870,235,436,
827,321,235,956,266,064,948,451,794,826,954,827,169,465,369,443,820,688,975,
787,171,707,012,372,658,948,195,490,174,642,022,496,772,513,714,639,096,456,
697,077,884,431,908,960,125,676,138,660,029,433,094,150,948,067,644,608,934,
944,452,329,540,301,166,347,522,285,790,865,413,928,764,853,079,860,758,277,
656,961,789,190,488,797,648,454,797,541,549,062,011,155,303,828,760,521,647,
709,297,675,099,637,691,929,925,294,688,080,976,080,084,184,045,590,577,613,
420,237,019,310,424,986,835,385,481,684,270,249,640,593,941,651,669,366,117,
424,761,441,111,743,120,817,014,310,378,095,371,689,136,463,278,768,045,510,
456,105,398,715,405,648,053,598,652,801,150,584,342,248,344,564,681,007,313,
290,317,554,033,906,714,540,721,943,746,906,707,328,157,448,345,798,312,559,
701,207,823,230,081,975,189,479,026,440,553,952,054,211,963,729,587,271,571,
250,788,758,320,489,289,007,354,456,674,887,717,874,790,886,991,147,580,379,
883,418,167,486,347,961,986,857,955,320,985,707,525,831,283,958,937,361,568,
031,552,579,391,185,668,700,173,959,254,249,688,388,982,347,258,598,604,365,
186,505,233,206,738,761,263,032,623,932,248,428,472,524,297,853,969,603,894,
865,810,035,105,208,057,535,163,746,214,867,388,281,606,808,025,819,702,921,
450,902,068,427,416,201,950,992,047,261,140,348,803,501,007,073,330,231,935,
138,500,377,725,439,572,770,098,599,429,020,776,752,122,193,754,225,925,854,
980,484,483,990,041,387,936,492,605,041,232,003,251,407,709,731,131,008,464,
277,703,632,524,382,132,064,653,678,899,561,413,718,482,086,635,704,119,721,
063,709,338,902,827,622,362,238,188,164,562,271,723,121,372,172,977,682,138,
017,626,713,442,481,800,378,839,785,868,483,816,455,309,566,596,719,002,430,
240,595,075,570,781,391,270,994,803,123,510,483,337,518,584,469,553,503,307,
637,359,527,329,225,971,959,617,134,794,471,373,091,939,241,064,652,212,618,
266,923,187,300,093,876,053,720,773,899,146,424,645,816,011,155,831,525,140,
495,128,136,810,030,287,197,584,130,449,445,083,431,882,487,100,333,845,520,
375,074,254,008,432,421,689,244,555,531,322,160,355,018,303,988,251,562,741,
515,472,055,143,851,140,786,439,804,122,753,294,661,343,173,774,942,751,579,
784,581,809,253,449,796,699,183,493,249,194,766,663,060,091,877,384,362,739,
983,492,614,567,296,426,879,494,185,774,469,845,026,297,820,971,565,818,431,
229,701,261,289,258,462,699,604,090,962,001,749,707,082,390,688,786,852,449,
626,361,427,772,349,858,954,800,085,189,739,662,051,352,294,688,970,826,092,
384,332,690,595,170,580,419,678,218,685,171,516,868,577,508,425,934,185,496,
127,536,073,802,343,948,065,999,705,171,118,174,122,937,468,576,036,827,976,
313,880,372,486,548,058,438,572,370,561,987,459,177,695,468,713,733,991,415,
646,710,055,789,350,416,364,718,732,947,493,836,930,897,443,756,137,170,639,
052,641,647,298,549,108,237,566,033,079,741,726,379,885,554,950,113,291,599,
122,442,278,311,052,383,881,560,667,842,974,905,902,752,432,411,465,257,209,
816,388,453,743,377,229,920,430,636,406,899,026,716,468,992,968,716,670,173,
380,676,886,504,086,092,428,181,710,606,137,076,947,699,631,334,875,481,204,
350,297,056,637,976,267,501,580,279,365,674,999,717,010,520,797,398,985,968,
692,903,135,500,906,827,382,978,671,855,344,481,080,679,764,339,832,775,021,
074,514,776,311,156,797,123,863,558,857,963,736,563,302,843,168,046,885,420,
207,935,918,854,279,932,344,316,301,420,057,101,753,038,343,476,345,409,385,
748,112,493,768,251,077,008,409,998,323,797,311,305,719,959,686,775,263,987,
840,550,233,554,318,373,959,259,947,917,005,482,551,447,108,312,446,943,704,
880,555,281,617,093,139,625,650,296,462,166,814,415,054,646,017,920,867,202,
677,998,094,910,654,693,341,791,324,206,564,001,661,917,952,968,568,254,411,
481,742,450,735,733,428,220,838,530,966,871,032,494,732,762,685,366,954,588,
963,928,425,302,699,407,920,743,297,585,837,646,487,636,634,509,332,708,410,
876,062,175,715,893,774,169,559,672,188,357,646,163,499,056,427,470,807,470,
123,064,746,047,519,164,374,089,727,635,074,241,241,405,767,225,498,327,708,
577,878,923,354,933,124,329,740,274,155,770,748,200,258,262,509,203,899,600,
134,982,665,959,758,058,854,832,651,760,341,591,654,754,936,353,218,247,878,
498,741,544,761,420,403,296,547,225,486,483,543,511,289,946,747,016,709,989,
717,695,790,460,840,904,721,454,947,497,818,239,875,086,055,031,166,838,611,
546,291,934,299,878,509,437,051,303,997,029,984,904,162,748,378,189,511,603,
654,101,456,952,723,717,468,876,749,482,266,376,489,768,250,317,082,912,131,
812,001,227,588,424,694,166,600,508,029,484,875,744,185,724,334,019,871,373,
187,563,755,814,805,833,677,057,293,467,255,124,471,693,570,940,120,280,393,
719,999,384,770,282,653,941,565,306,843,460,927,892,674,972,519,957,361,400,
457,360,350,047,472,982,469,447,889,613,455,938,590,269,279,686,229,009,627,
791,772,330,039,664,352,453,916,498,906,849,844,606,413,448,980,748,439,098,
535,901,835,639,200,452,505,630,692,389,226,576,979,369,187,406,416,987,857,
940,907,215,637,804,477,943,698,184,300,641,680,418,518,441,129,340,034,424,
736,340,568,895,751,002,811,008,362,118,941,008,037,549,156,682,954,927,779,
347,708,172,336,126,040,486,842,379,170,395,385,440,761,420,072,870,980,938,
744,162,567,265,312,428,866,376,764,342,848,728,475,176,669,134,935,561,027,
545,815,677,719,997,842,093,606,877,729,208,249,168,334,996,780,013,790,795,
414,366,874,153,498,462,586,791,349,098,233,431,246,564,847,206,771,759,490,
023,661,440,380,789,818,576,333,867,877,922,131,678,233,175,472,026,724,428,
165,988,479,485,108,348,975,719,837,252,457,003,280,272,722,554,137,548,005,
114,023,506,697,759,299,699,068,896,421,735,293,599,582,210,598,567,111,514,
174,599,442,574,299,857,446,435,991,686,649,509,679,368,609,148,909,240,654,
020,207,316,977,666,429,649,553,098,541,213,109,159,287,870,171,147,254,459,
223,208,408,346,224,829,091,690,896,535,730,925,793,343,271,875,481,848,265,
506,904,060,553,790,884,144,003,829,070,693,973,749,065,210,235,812,516,286,
995,811,239,102,380,806,230,200,535,319,427,636,515,548,686,982,938,422,879,
021,160,555,456,478,996,834,959,664,654,333,872,218,377,415,251,956,347,672,
706,614,652,522,392,014,894,203,205,819,359,240,696,174,115,671,775,946,146,
457,779,012,860,790,992,073,753,525,916,835,136,614,035,543,458,939,178,412,
931,486,994,715,622,542,656,226,017,021,784,006,189,838,602,989,749,166,061,
413,966,271,745,402,758,335,366,709,582,795,826,146,870,502,532,370,391,479,
649,308,412,948,297,909,779,636,067,366,218,394,670,032,019,615,188,526,453,
396,565,995,987,273,494,652,178,317,765,101,862,338,067,196,754,225,074,536,
832,038,633,798,858,633,815,208,570,601,835,454,263,726,680,549,284,445,596,
450,938,668,136,666,723,229,215,671,204,146,318,001,007,820,387,529,370,003,
933,073,480,880,143,260,245,504,653,634,045,890,081,105,193,328,229,142,933,
885,004,239,535,327,365,178,240,476,833,111,981,920,609,079,383,306,888,853,
121,234,439,823,533,128,299,648,087,397,667,902,843,767,744,782,458,293,789,
401,199,556,239,580,977,530,132,012,860,734,945,522,289,562,494,300,288,205,
380,987,560,371,471,044,427,542,365,885,374,164,772,906,817,467,888,198,070,
095,538,590,237,833,411,131,053,875,720,653,054,835,051,799,253,213,778,652,
652,988,447,878,671,198,319,716,775,468,052,184,128,758,902,603,582,202,618,
862,050,669,143,114,835,035,379,603,319,934,720,056,150,481,778,295,848,915,
533,945,166,409,555,969,479,050,234,854,548,702,439,246,439,376,335,498,257,
277,203,491,740,910,783,573,053,350,481,097,153,417,116,508,930,331,853,849,
462,834,388,875,240,495,808,148,440,431,495,981,754,551,976,758,697,840,048,
025,372,481,566,980,590,394,224,059,091,605,424,727,619,840,887,470,671,418,
913,524,308,032,455,704,994,111,824,373,918,876,803,396,562,066,236,654,525,
959,765,033,991,731,043,492,590,336,532,835,958,447,520,415,121,124,465,292,
757,482,343,779,810,276,907,742,517,170,836,623,860,134,478,003,186,862,966,
429,017,080,954,663,215,142,210,300,472,949,026,904,754,604,626,622,779,626,
706,354,028,821,502,048,409,215,283,695,997,949,905,352,118,186,960,073,463,
106,323,474,482,455,122,957,687,532,156,594,604,871,111,709,895,550,406,636,
913,327,025,869,898,795,001,774,019,831,824,994,063,151,668,152,253,313,314,
761,585,642,692,659,428,864,249,072,242,708,166,518,881,861,585,441,078,828,
217,831,602,378,280,397,946,472,880,224,253,515,604,065,242,532,956,062,067,
700,193,171,707,740,210,097,006,261,718,082,394,536,110,720,918,099,386,423,
276,304,885,874,536,736,140,196,157,371,863,185,296,000,015,497,218,870,837,
527,205,245,490,779,911,732,207,520,328,141,059,523,079,965,639,504,628,000,
976,724,109,320,370,294,954,230,934,542,526,861,752,548,130,726,939,276,720,
915,969,677,644,980,612,646,375,086,808,032,309,506,400,500,290,831,774,865,
494,087,492,270,803,380,027,831,237,751,709,665,433,589,936,932,810,115,966,
964,995,971,916,887,246,292,461,541,935,038,137,614,196,903,823,191,290,632,
344,936,094,344,613,901,989,921,056,162,578,085,192,122,676,768,260,430,000,
636,882,504,973,582,555,590,622,285,944,166,248,308,137,648,596,110,298,529,
939,046,388,721,839,277,560,639,568,073,252,702,210,642,537,400,481,496,108,
141,522,017,102,210,856,347,251,779,775,368,212,411,665,151,082,954,736,381,
467,525,840,032,442,623,967,301,031,431,081,356,254,336,466,833,388,381,345,
180,589,979,135,729,172,632,628,435,995,628,228,055,134,356,790,759,732,529,
159,402,515,702,982,231,528,032,929,766,994,178,087,255,223,547,589,339,914,
745,779,563,817,833,259,427,290,490,920,080,104,731,354,784,451,365,464,529,
435,175,849,491,831,415,883,845,521,828,327,295,767,455,201,676,548,123,919,
769,280,856,013,402,120,018,603,002,376,110,332,533,058,975,865,489,030,276,
499,068,456,903,326,397,418,992,240,282,448,944,614,950,434,521,480,965,450,
685,312,673,348,939,417,885,365,398,073,974,172,471,441,630,745,188,754,589,
863,474,439,195,636,879,493,928,824,727,871,176,914,527,724,495,069,790,597,
207,218,059,586,506,008,798,945,372,001,581,567,675,411,286,687,456,463,765,
035,368,336,303,407,761,045,625,090,050,885,527,357,997,428,109,102,901,576,
780,387,122,393,494,631,918,720,057,528,147,003,076,762,511,817,937,594,638,
919,941,411,542,710,137,213,819,120,026,951,053,484,725,738,039,640,672,675,
406,178,710,710,482,837,537,933,582,953,056,718,202,199,147,681,572,337,253,
619,994,495,731,465,467,289,651,944,406,861,719,479,807,359,110,506,031,511,
251,037,469,993,679,731,349,926,935,468,695,974,965,275,097,503,741,558,996,
604,542,299,979,555,081,621,175,008,078,523,479,631,967,878,183,304,535,691,
882,408,097,689,895,753,798,981,425,508,025,483,868,863,004,277,663,365,400,
242,106,910,288,433,229,335,995,292,655,845,949,754,089,199,615,284,705,636,
161,000,109,853,497,121,637,184,608,138,031,213,979,315,724,766,343,688,270,
708,837,097,476,802,639,176,647,120,319,866,508,858,503,518,752,526,247,405,
239,656,941,049,473,062,230,051,319,293,500,030,947,561,987,716,841,511,464,
183,404,955,540,068,413,638,244,664,014,471,266,346,123,297,898,068,468,469,
658,067,275,468,211,293,554,998,571,743,238,420,175,779,036,605,204,630,899,
622,013,139,976,495,852,180,266,474,827,608,034,733,205,710,162,694,439,305,
588,721,220,795,272,260,266,803,670,832,523,240,042,652,716,412,132,808,846,
722,288,434,879,305,962,358,671,923,579,266,582,764,119,533,669,469,998,997,
595,628,737,460,812,942,018,253,791,425,014,241,038,631,589,761,801,571,801,
879,302,378,707,397,536,109,945,160,295,024,358,501,831,185,894,171,775,396,
147,765,110,797,845,568,982,697,485,665,953,586,957,233,192,456,198,500,844,
987,381,898,579,437,581,089,587,557,240,592,707,397,550,084,696,231,631,423,
977,061,611,335,260,779,811,900,008,869,265,674,533,301,526,044,546,551,842,
410,343,257,361,381,666,890,043,268,332,785,848,245,543,314,051,355,777,828,
895,825,324,452,114,574,019,684,424,305,490,793,143,885,794,617,732,241,699,
439,812,096,495,994,792,649,336,282,509,243,274,622,266,501,715,354,757,078,
692,752,826,373,913,047,463,156,619,823,653,839,903,036,667,002,215,240,705,
045,561,139,707,961,917,913,532,735,951,714,282,494,402,312,021,845,173,221,
164,928,503,883,662,399,623,451,186,407,700,485,077,534,248,161,173,874,665,
709,426,732,418,273,402,881,260,658,312,554,399,634,139,651,146,940,296,622,
843,714,626,514,903,252,377,230,764,229,601,532,782,780,936,731,341,713,308,
815,029,350,270,065,033,835,260,924,182,229,154,071,322,103,156,819,475,996,
832,071,432,254,734,468,145,622,759,807,429,539,638,553,080,660,163,932,810,
731,741,930,829,107,056,255,708,169,780,143,622,104,946,593,030,872,291,732,
108,472,906,118,180,081,134,140,522,191,665,920,742,429,584,808,480,136,262,
724,241,619,387,539,540,812,106,198,916,726,545,657,276,123,716,707,751,996,
518,946,275,045,918,966,583,656,726,553,469,456,300,363,832,005,940,641,330,
732,476,446,113,464,196,234,905,932,662,411,490,130,876,645,906,095,876,003,
371,222,913,731,414,169,958,757,517,488,335,111,484,446,991,424,702,967,811,
736,991,215,519,072,760,686,211,313,298,805,224,258,633,077,186,185,952,818,
058,580,411,250,922,588,437,864,879,036,138,684,534,724,935,657,167,232,603,
917,887,531,177,518,344,078,746,510,998,475,458,459,084,378,438,933,679,114,
262,164,006,366,552,219,387,712,362,685,883,556,801,449,443,685,142,058,015,
500,683,149,839,621,382,276,917,981,625,540,983,648,357,622,958,719,625,484,
331,475,153,357,124,356,332,281,777,857,692,353,978,367,394,298,361,361,550,
333,939,886,011,535,141,779,285,757,182,053,078,726,931,549,130,940,415,223,
519,407,888,357,878,651,573,808,661,336,118,303,348,309,954,846,484,228,318,
304,853,813,754,512,001,473,865,644,657,102,188,012,924,777,786,194,903,190,
164,200,699,619,393,919,649,920,803,967,934,576,783,765,402,613,878,024,140,
578,693,849,355,284,711,948,519,123,923,439,059,491,167,855,473,826,292,258,
061,528,762,092,809,595,314,291,440,163,543,503,255,471,939,397,116,241,395,
684,642,433,228,964,996,588,381,166,032,191,210,821,749,052,450,652,581,127,
637,735,142,861,709,621,565,059,463,521,617,762,052,845,523,642,942,618,636,
655,176,323,158,793,102,057,774,888,339,189,485,832,087,078,245,138,058,899,
001,575,824,603,823,234,281,440,159,831,180,499,127,867,670,990,668,536,400,
669,166,570,766,861,175,759,609,918,781,774,972,242,253,165,542,545,668,520,
962,085,944,824,293,892,278,843,278,886,040,129,740,583,761,343,946,894,078,
539,734,684,843,792,637,313,072,095,834,681,015,815,194,422,590,894,962,448,
874,713,640,264,764,749,813,174,404,464,902,942,728,620,260,696,513,382,163,
696,713,298,161,420,436,022,238,733,748,774,122,776,818,274,518,553,300,947,
186,284,580,822,083,659,089,719,184,133,951,540,221,699,459,431,084,546,988,
257,115,786,337,399,274,987,746,560,628,429,953,575,094,269,868,090,810,712,
643,917,187,180,664,046,410,576,809,578,538,851,290,211,120,935,281,121,678,
837,125,294,572,932,211,796,761,954,270,073,522,679,286,301,140,677,735,604,
838,847,193,646,501,612,160,739,587,095,009,883,860,966,721,620,606,823,122,
543,527,697,243,884,363,010,498,673,625,206,601,670,994,017,573,040,992,097,
580,407,227,017,720,450,590,341,737,502,298,742,753,334,908,586,248,243,254,
339,512,014,111,186,916,296,537,951,374,084,267,899,448,687,126,871,612,696,
778,910,461,381,191,697,393,382,410,594,952,406,552,540,221,262,837,527,569,
051,461,591,893,532,414,067,163,522,163,892,657,753,409,454,939,738,595,680,
463,631,017,414,526,077,088,690,728,158,015,781,049,790,732,278,466,516,222,
289,489,021,465,070,360,941,053,247,414,030,902,910,236,428,855,983,832,281,
802,201,792,543,695,490,724,867,381,347,496,792,637,155,426,604,191,819,265,
593,546,930,983,737,000,005,522,687,863,615,187,245,112,213,986,807,477,195,
964,485,517,800,893,279,079,565,899,584,454,897,449,838,600,821,965,342,538,
794,988,727,268,393,495,102,065,056,730,305,868,805,121,413,851,547,190,970,
713,745,362,950,662,672,036,826,436,933,884,315,435,190,605,442,116,584,859,
833,367,109,615,107,783,424,192,107,897,216,981,959,784,607,787,056,234,436,
583,292,357,983,200,691,615,613,265,069,007,588,501,345,211,870,315,543,680,
365,601,548,075,322,939,337,512,992,781,032,970,421,623,484,449,368,807,056,
925,683,295,711,644,058,524,642,975,653,440,599,527,167,988,300,501,379,251,
730,418,966,016,294,216,279,012,285,265,799,547,581,463,470,233,616,745,520,
411,990,434,899,754,530,780,007,422,897,903,910,494,082,976,551,430,400,728,
523,835,011,476,073,495,691,514,723,794,339,053,551,599,826,892,816,714,122,
327,948,175,944,281,213,862,022,194,388,277,930,491,856,210,329,210,159,355,
886,193,563,929,279,103,510,082,488,213,973,507,020,866,827,666,947,748,894,
579,477,021,531,304,660,258,578,517,760,459,391,825,810,107,710,458,442,352,
451,830,898,665,923,974,176,063,928,765,608,907,921,456,327,269,717,407,671,
212,841,859,193,077,751,070,325,779,531,968,287,871,894,567,894,373,485,403,
464,060,842,952,944,889,711,466,958,143,924,191,361,664,636,155,063,106,282,
028,722,584,421,576,649,516,505,888,939,463,821,949,331,683,017,372,202,154,
986,385,817,997,036,250,951,007,990,378,121,678,454,864,729,454,417,987,911,
629,351,722,837,486,545,803,447,222,112,500,396,312,572,047,546,360,847,924,
347,119,064,126,445,684,761,885,758,225,838,459,762,744,696,978,379,064,677,
142,452,197,177,676,225,608,014,401,747,378,927,880,614,890,707,079,942,070,
527,650,166,781,243,981,486,618,764,042,172,028,639,243,182,018,688,458,320,
129,215,443,082,765,023,510,825,361,052,304,805,121,938,623,658,611,391,200,
747,191,077,697,505,371,437,547,229,055,324,732,283,488,639,442,641,398,047,
946,765,306,737,009,508,795,174,623,325,202,810,010,895,750,626,340,588,711,
857,917,265,512,352,095,915,426,530,770,478,551,568,872,102,210,087,773,880,
515,988,247,111,430,285,791,437,748,680,543,742,489,211,311,606,439,165,175,
072,782,027,091,316,698,524,097,340,198,452,998,834,527,638,030,858,721,697,
304,818,768,822,691,790,864,269,855,315,817,103,919,344,597,075,921,941,871,
571,987,140,275,792,377,259,590,858,209,480,081,518,468,159,221,580,308,926,
159,265,033,924,025,131,381,024,583,993,112,430,734,517,828,670,987,013,087,
116,812,419,835,893,372,782,644,914,763,137,898,717,702,073,905,623,023,834,
543,872,083,302,418,795,974,778,914,642,691,997,361,139,359,572,869,454,625,
375,384,306,395,186,060,789,351,962,324,016,523,466,879,436,633,487,798,064,
293,801,143,967,270,488,620,521,615,337,075,680,943,758,018,959,030,733,040,
456,504,087,068,570,156,536,911,938,525,573,829,514,293,646,925,715,212,556,
565,425,364,824,390,040,301,737,681,544,883,402,029,670,866,707,536,171,158,
783,943,662,852,078,288,767,683,862,483,603,835,264,157,243,710,036,029,941,
635,189,767,584,810,056,145,689,710,463,309,757,611,873,227,424,556,136,161,
751,449,444,901,665,191,033,163,633,789,036,570,478,082,692,033,063,866,004,
783,322,811,694,490,402,833,457,923,571,784,952,594,427,270,264,274,080,262,
656,580,989,988,037,094,458,991,972,710,441,013,569,747,582,058,203,547,730,
884,598,337,193,148,568,207,980,710,780,359,413,398,881,840,935,196,072,575,
918,702,967,730,636,300,285,680,059,619,909,063,125,115,598,303,288,910,305,
912,999,543,824,331,287,739,612,604,166,868,389,307,191,907,807,649,094,622,
002,194,892,177,136,190,711,283,408,236,153,038,558,351,375,010,596,495,915,
627,790,607,941,378,501,297,687,538,105,711,759,001,451,164,494,048,109,698,
873,263,120,722,127,190,246,254,051,680,132,695,121,381,845,530,654,485,363,
284,382,936,290,741,802,480,782,851,824,684,654,000,549,878,993,988,539,131,
445,382,759,553,252,892,895,422,212,592,910,710,721,469,782,729,230,486,473,
763,254,040,734,439,291,638,996,902,095,475,470,670,382,669,335,361,488,840,
944,520,648,121,471,607,831,583,004,252,639,109,113,464,502,169,565,035,686,
048,224,784,757,102,869,075,200,135,454,067,561,571,274,089,168,642,725,484,
573,733,123,332,152,151,869,044,436,675,690,987,872,414,551,515,202,765,020,
688,465,333,712,851,361,797,651,962,456,896,417,171,621,622,714,753,767,000,
483,237,213,881,877,533,498,800,585,523,216,151,344,177,826,752,096,952,841,
369,934,708,491,193,863,738,957,287,534,516,843,312,312,609,101,302,538,285,
166,355,847,904,819,613,282,576,505,374,424,500,557,137,512,506,682,688,589,
821,376,560,924,412,178,286,192,783,343,932,460,597,509,055,773,664,747,752,
275,351,480,573,278,035,976,081,768,725,702,965,214,191,260,203,597,980,459,
871,314,018,844,314,288,192,712,084,139,722,633,603,084,715,241,022,110,267,
087,766,073,802,118,504,330,805,778,036,910,964,714,418,247,445,203,302,361,
906,902,430,328,610,932,683,705,654,812,678,358,414,302,602,441,085,658,052,
670,351,968,195,525,899,000,949,378,487,038,033,779,947,371,925,809,783,060,
661,747,908,527,098,846,132,534,079,019,819,324,228,317,250,587,985,404,035,
901,276,945,073,593,201,297,259,075,803,419,625,298,146,200,370,255,500,786,
260,530,776,417,220,841,911,759,893,742,241,143,273,066,646,705,230,162,713,
656,033,408,213,909,520,944,670,691,786,615,483,599,588,804,180,093,570,412,
205,381,403,463,382,731,839,801,483,753,605,982,446,700,763,095,127,696,943,
286,860,673,295,147,643,198,301,347,128,109,025,908,433,683,200,639,375,112,
945,243,698,159,950,571,856,346,166,882,977,235,032,079,875,929,390,019,237,
435,461,633,338,761,333,887,646,975,606,062,002,561,694,387,178,295,018,346,
084,966,213,937,229,037,898,025,873,229,121,710,304,408,019,952,443,649,631,
633,978,595,629,754,916,005,934,188,066,896,923,412,864,946,292,836,652,821,
840,195,502,482,765,104,418,954,224,775,885,983,821,249,282,037,067,581,285,
872,099,435,742,090,475,587,688,277,530,896,074,108,981,377,470,550,907,902,
015,931,222,186,038,697,209,477,783,379,969,636,287,788,670,690,426,574,889,
103,714,140,605,867,245,138,983,882,362,928,134,468,684,030,916,997,149,695,
640,712,822,252,949,502,784,643,999,952,715,108,576,665,588,415,349,193,160,
517,540,260,171,021,574,600,687,357,484,650,202,974,860,722,044,759,276,153,
973,649,932,125,314,001,502,686,727,574,191,693,307,646,554,840,304,964,670,
580,422,483,405,369,276,369,898,463,661,291,019,474,293,660,816,304,598,811,
589,491,377,113,352,454,862,658,191,133,259,827,195,993,952,556,787,530,931,
050,994,418,874,435,983,190,433,804,756,594,321,838,697,728,133,775,736,523,
811,917,966,950,612,559,149,774,115,863,578,113,479,201,921,467,995,107,759,
278,185,093,155,729,297,766,220,394,680,178,680,548,892,901,201,727,452,580,
199,717,997,102,832,730,204,985,152,278,396,726,705,891,534,847,170,839,093,
311,479,483,312,848,130,923,264,366,343,579,084,664,672,359,912,771,043,690,
685,749,939,804,365,782,353,087,495,260,140,480,471,540,255,267,503,320,697,
760,063,962,261,011,914,147,048,944,150,292,699,919,242,465,875,304,935,324,
225,791,275,517,645,895,961,446,630,826,112,435,691,017,828,250,640,128,155,
130,790,359,570,910,032,376,529,777,024,298,529,986,884,003,755,367,153,987,
952,528,313,263,378,485,750,324,687,328,986,608,032,884,089,876,169,957,588,
972,440,016,698,051,595,712,080,397,886,261,869,094,136,580,612,662,202,095,
541,557,382,788,854,466,006,475,324,788,668,594,005,658,613,327,618,127,756,
108,759,210,930,682,851,212,210,124,669,295,045,622,521,160,680,789,663,866,
391,448,927,558,984,468,158,338,167,445,919,639,088,877,361,437,022,923,537,
576,560,674,950,341,154,682,554,530,659,388,743,434,117,909,154,160,979,050,
332,963,036,232,989,950,951,532,522,708,120,421,989,769,596,319,868,107,833,
958,812,789,892,908,609,274,763,748,467,640,362,091,803,501,234,712,769,276,
301,307,190,167,641,500,836,755,173,014,998,929,858,253,613,043,472,032,921,
321,005,523,506,406,562,023,776,520,474,104,057,259,699,724,263,994,571,891,
057,762,043,148,243,843,366,546,306,744,795,864,008,885,596,308,304,975,672,
835,470,387,939,998,390,038,503,945,378,186,549,594,091,639,871,015,404,207,
033,297,636,089,375,028,035,688,480,382,710,232,492,021,157,882,214,320,856,
237,980,864,355,404,735,354,368,039,338,018,458,234,407,043,779,366,118,027,
514,551,368,923,462,919,888,601,993,086,152,993,988,129,109,694,843,907,999,
886,086,517,822,857,506,659,348,433,813,878,975,231,664,741,597,024,250,404,
779,904,755,909,422,757,970,156,431,804,186,677,428,996,276,652,125,031,897,
061,255,622,960,143,714,820,209,803,963,992,137,611,875,507,507,349,662,676,
054,881,766,337,983,569,168,278,487,679,990,751,824,564,518,229,132,460,372,
648,757,811,797,532,894,246,294,641,020,855,294,382,171,550,100,437,088,395,
317,504,011,187,789,807,481,497,272,073,812,859,968,081,198,887,643,914,349,
986,922,665,456,245,678,110,521,117,594,392,801,446,003,194,985,793,983,727,
818,145,187,552,629,510,476,811,851,974,627,836,589,795,601,039,097,412,373,
816,261,907,369,494,642,024,490,992,881,969,277,177,363,331,677,057,986,567,
624,166,079,609,798,375,103,872,540,581,217,674,547,965,018,630,721,839,929,
950,978,187,383,859,082,236,213,006,748,847,793,384,008,186,899,209,412,454,
668,063,974,865,376,148,762,932,991,800,943,899,947,484,264,464,778,774,105,
061,632,244,681,531,585,450,849,917,502,132,889,351,488,240,852,776,941,233,
567,815,675,916,690,494,255,274,361,954,563,185,669,664,075,856,102,502,188,
949,016,132,672,776,247,008,049,480,737,690,230,055,222,560,273,178,526,237,
569,150,147,334,846,263,151,295,385,155,296,648,183,006,918,239,574,446,207,
360,440,883,079,300,487,512,958,130,718,473,726,305,109,979,184,713,891,827,
734,716,409,810,290,783,345,182,240,206,668,156,803,303,386,844,867,420,867,
076,362,130,954,519,572,467,311,955,320,543,852,321,259,362,644,104,469,520,
699,659,186,559,612,459,514,968,175,960,763,863,969,656,311,974,747,637,421,
275,606,333,748,229,190,513,532,956,821,149,365,091,334,170,977,026,932,036,
873,570,793,768,881,552,743,440,145,419,721,002,647,063,563,990,982,760,589,
275,576,730,866,268,303,053,654,034,454,372,266,479,276,819,649,526,809,980,
400,829,026,388,367,631,259,583,309,607,495,775,206,840,558,172,712,373,644,
167,653,663,731,973,222,403,549,222,329,396,465,547,265,369,522,165,520,622,
277,378,525,491,534,095,962,186,070,013,287,913,492,386,332,062,019,185,989,
714,937,302,536,437,508,543,358,917,360,649,206,147,809,374,616,818,552,909,
284,165,165,880,405,956,455,305,091,614,053,074,193,774,180,976,494,836,738,
234,128,659,721,025,787,629,738,540,099,903,853,223,383,395,615,344,392,385,
191,574,787,423,250,970,195,413,525,101,934,603,021,424,071,070,584,524,656,
051,350,737,246,415,369,960,224,626,597,136,314,363,179,956,169,503,032,861,
781,831,091,871,332,942,947,873,308,216,486,846,894,534,130,622,115,601,631,
037,259,150,511,594,024,256,038,588,089,576,218,455,510,877,956,947,309,421,
097,025,956,177,197,804,714,405,559,410,304,773,284,574,516,292,316,231,377,
622,771,619,169,720,524,797,265,587,845,131,104,627,971,093,661,359,934,461,
521,383,214,421,714,944,871,465,878,491,728,386,589,823,961,171,893,520,735,
250,075,563,337,124,213,026,926,147,360,418,666,978,061,938,267,112,816,546,
450,382,139,696,748,496,627,036,440,340,677,810,077,288,776,646,871,048,110,
622,817,597,078,686,960,371,110,747,009,747,313,238,139,901,229,579,962,378,
918,514,493,703,094,544,000,426,880,207,548,948,810,966,537,266,894,665,077,
882,716,688,630,197,960,621,111,226,138,170,204,602,156,883,389,864,938,736,
448,006,070,722,951,984,978,415,737,063,750,610,918,451,135,132,670,989,133,
279,405,675,474,784,699,875,610,568,021,195,681,590,065,686,353,118,587,928,
272,177,760,489,843,237,254,834,755,516,153,640,073,761,702,967,384,275,714,
350,638,826,899,728,413,965,567,839,135,065,958,195,539,829,630,862,589,514,
765,245,890,567,449,304,153,812,110,215,047,722,213,327,701,623,630,373,080,
639,321,663,201,232,880,398,005,325,045,999,877,983,587,852,737,261,809,662,
554,430,438,862,268,562,918,713,014,375,244,802,352,869,794,383,657,402,575,
399,405,201,892,532,971,296,871,965,708,843,401,691,251,415,181,094,590,537,
971,934,631,885,575,388,134,285,796,641,045,888,803,162,430,303,397,954,868,
449,891,904,736,993,045,893,960,870,639,878,659,967,617,747,875,568,789,503,
714,402,276,708,390,182,934,154,968,123,970,718,209,540,869,364,711,996,210,
869,085,392,583,304,946,478,575,010,530,939,247,437,215,347,059,700,468,912,
200,199,815,826,717,609,789,145,671,436,689,547,843,095,837,245,437,245,353,
180,534,101,295,533,849,534,603,938,995,016,481,969,072,445,178,944,333,452,
849,561,062,960,882,982,164,479,497,138,703,307,655,268,893,940,663,302,989,
517,965,937,833,509,929,192,490,667,648,690,983,601,820,324,532,386,599,990,
940,858,554,072,980,410,493,103,982,642,724,599,864,288,716,863,394,864,967,
145,816,015,879,609,485,189,572,586,488,447,590,467,895,660,509,172,611,550,
688,214,551,436,952,843,925,465,275,868,657,107,909,345,655,121,049,507,792,
382,665,606,360,464,014,558,787,659,209,425,422,694,848,944,073,434,466,183,
401,252,359,304,525,095,455,732,302,319,365,595,487,835,604,128,299,892,506,
642,498,790,751,154,528,811,326,275,394,700,037,080,052,017,498,811,022,735,
477,804,775,220,250,448,014,383,203,512,531,794,486,766,739,346,469,681,881,
467,684,064,222,169,988,857,166,441,361,959,678,289,961,675,103,398,670,132,
022,394,338,768,668,125,123,559,482,930,518,532,903,791,023,852,696,818,292,
709,517,746,933,719,067,476,945,586,387,576,184,243,668,070,863,662,638,311,
057,698,941,898,750,969,512,327,879,142,788,614,213,023,662,505,855,452,604,
905,123,067,759,106,224,656,612,849,598,999,468,221,009,219,675,377,843,024,
219,616,272,483,382,104,399,735,083,614,111,740,264,288,464,820,118,478,965,
473,538,471,088,165,198,403,394,487,537,011,023,341,508,036,544,353,121,033,
368,067,510,361,510,338,820,184,341,372,375,644,231,495,529,189,607,200,947,
387,882,904,368,444,515,112,527,499,594,185,960,247,432,408,731,689,439,369,
196,785,795,381,889,001,350,122,995,526,517,306,475,519,844,764,081,050,625,
467,032,900,738,171,376,452,393,440,109,937,164,084,181,566,532,929,681,831,
159,588,810,695,174,084,928,875,763,475,050,572,478,475,998,102,474,728,816,
365,401,067,086,130,151,389,212,612,194,847,160,188,176,021,133,626,473,453,
915,526,934,357,673,569,419,997,719,839,353,119,952,184,582,528,293,496,318,
711,519,909,505,248,138,623,219,472,854,384,980,056,707,772,157,215,908,258,
658,662,293,124,259,116,203,397,741,031,036,358,547,251,118,774,722,030,209,
891,182,362,265,505,061,505,206,817,089,563,467,757,872,981,496,132,409,024,
805,981,779,538,975,233,869,445,857,283,901,867,319,482,879,740,930,605,441,
354,793,686,463,662,534,724,616,602,013,311,043,142,423,333,362,807,395,314,
385,931,943,796,915,148,600,110,591,335,439,991,432,139,872,503,906,732,671,
387,438,049,528,093,261,386,786,535,012,041,373,017,569,580,630,610,403,384,
800,658,982,044,676,175,297,052,378,727,670,483,931,222,081,359,044,599,128,
789,023,987,475,848,465,039,522,989,133,309,855,792,135,969,097,660,993,076,
861,369,024,048,629,707,679,689,945,796,445,770,797,149,310,221,009,956,672,
953,544,756,003,947,437,428,846,840,610,810,975,235,904,976,523,113,258,595,
052,425,024,919,887,836,843,047,051,520,348,841,143,698,084,119,190,375,067,
594,254,793,595,519,898,609,227,832,362,540,295,667,524,630,357,605,993,628,
575,481,233,372,018,808,729,786,227,760,765,819,230,048,156,130,422,515,857,
783,652,421,398,943,641,853,800,485,277,725,347,708,422,426,454,714,518,499,
870,500,482,445,650,433,474,239,007,703,775,498,845,644,904,776,732,917,067,
866,408,257,431,677,466,782,719,547,603,188,242,595,502,969,782,708,663,830,
656,460,387,238,164,481,108,290,432,433,751,189,407,477,818,315,068,880,450,
852,142,311,295,903,964,594,658,400,191,172,861,144,101,050,675,469,290,339,
697,751,014,987,385,854,220,985,393,425,099,307,133,653,912,992,420,560,333,
901,881,699,664,443,617,840,781,630,786,434,481,047,583,605,596,993,514,337,
277,509,338,347,411,865,075,379,861,556,679,095,758,835,220,609,723,138,224,
990,927,997,353,905,522,981,677,351,416,924,658,556,598,897,824,712,791,825,
995,614,789,867,150,264,497,979,631,883,520,894,135,700,514,551,230,526,655,
302,842,640,659,738,974,079,201,584,795,782,555,261,107,468,403,919,411,952,
298,091,542,915,680,594,607,036,375,977,430,977,511,541,018,347,736,029,115,
223,871,314,121,503,900,014,825,451,949,470,151,745,114,351,710,446,281,877,
280,109,286,390,987,174,833,831,052,151,761,966,291,875,386,261,731,618,342,
773,901,731,658,519,920,473,252,213,095,278,756,801,580,533,060,463,726,393,
665,550,264,962,105,487,039,796,866,562,705,651,031,632,361,842,119,856,670,
850,125,260,020,298,194,934,209,437,222,672,677,176,409,971,627,495,781,446,
751,806,928,962,851,345,009,966,643,789,671,119,091,083,362,685,135,864,781,
070,788,321,568,841,530,482,994,926,728,791,630,888,118,342,523,774,516,333,
363,902,782,572,372,427,090,497,407,146,624,537,157,308,038,916,347,553,684,
822,276,989,883,524,538,899,017,243,371,654,021,630,770,059,197,272,656,072,
681,550,113,354,599,267,570,454,352,966,488,915,307,955,643,922,840,723,871,
946,140,046,277,570,603,606,031,503,963,112,859,857,882,135,464,221,126,210,
313,563,369,466,384,945,327,956,843,740,680,337,698,886,823,790,446,280,778,
011,962,258,170,325,267,334,799,805,540,618,882,021,121,836,667,761,470,589,
380,218,172,222,265,731,068,126,598,532,211,359,490,404,875,776,071,971,973,
689,083,129,969,124,067,432,586,725,298,613,554,023,617,949,752,213,113,472,
205,431,594,729,557,732,344,497,539,952,665,123,528,328,196,413,887,556,341,
942,714,458,890,539,180,543,172,725,556,883,956,212,993,087,551,712,372,069,
624,364,277,774,494,486,715,281,370,631,011,178,174,919,428,717,738,837,307,
800,601,595,051,387,498,525,158,132,690,812,025,627,057,982,841,836,445,044,
164,556,009,437,589,471,705,311,707,492,068,033,741,208,169,198,261,812,794,
466,018,715,425,974,608,649,073,712,160,920,445,966,283,395,086,607,875,041,
805,663,083,038,141,061,577,777,384,320,756,000,344,046,113,431,282,249,851,
764,180,727,593,268,209,356,799,909,110,389,300,347,918,899,909,497,560,016,
563,446,495,200,498,553,588,321,822,556,627,149,461,836,935,089,100,676,586,
034,435,913,323,680,932,023,475,585,130,188,787,296,099,143,128,898,932,726,
059,909,710,379,373,119,322,763,134,233,512,371,961,685,072,748,962,120,691,
009,122,286,527,123,795,433,627,333,257,906,645,190,123,089,615,261,791,891,
809,120,205,030,311,810,565,953,852,123,731,442,652,629,662,156,998,196,222,
084,567,014,985,803,213,007,003,931,649,285,789,485,038,337,601,836,540,541,
768,061,898,082,375,037,422,441,594,108,457,145,659,223,459,983,812,510,841,
468,185,051,208,707,936,357,777,038,189,621,910,913,971,790,879,089,966,196,
693,758,105,631,483,444,718,324,917,558,224,090,600,708,081,692,453,568,596,
021,948,540,212,824,271,985,723,261,065,524,816,452,602,029,183,888,291,631,
555,127,275,558,604,218,060,484,351,797,944,467,293,558,016,734,236,529,578,
628,176,008,812,321,859,218,600,838,392,524,169,382,689,913,612,158,356,577,
607,171,758,218,294,853,972,811,555,361,161,039,496,034,515,705,605,909,364,
167,203,128,364,375,458,456,731,951,938,705,484,764,628,146,123,242,083,098,
467,640,632,673,531,946,087,021,363,661,907,982,767,830,549,964,554,732,641,
138,187,512,288,640,195,681,887,574,396,698,411,542,462,497,726,751,465,518,
401,018,290,014,930,135,707,269,363,026,713,170,555,885,126,181,227,378,652,
292,295,164,625,312,824,819,301,234,402,869,782,390,347,462,132,644,809,011,
044,085,676,400,654,091,671,381,448,880,763,377,080,475,249,328,875,650,558,
750,594,221,928,350,710,013,225,273,873,001,138,735,099,495,558,158,884,273,
985,079,496,022,823,189,669,952,217,132,951,543,027,963,359,758,796,787,370,
085,097,044,066,988,075,900,650,618,976,257,874,724,065,327,232,985,426,717,
687,504,080,959,544,852,473,211,446,116,984,650,593,461,261,299,341,656,031,
452,184,223,863,756,602,474,370,965,470,504,839,012,487,286,449,401,790,639,
866,256,072,627,731,405,750,588,057,158,784,692,710,490,650,734,965,838,062,
659,454,874,595,210,529,757,721,528,497,618,778,710,543,740,353,609,799,092,
831,699,382,622,447,943,595,959,089,891,463,186,579,364,894,911,748,301,747,
981,762,456,093,992,257,384,225,810,822,082,801,227,952,839,346,030,715,858,
297,858,624,721,293,517,591,783,802,718,166,064,073,493,923,946,156,784,822,
702,957,183,782,599,904,039,429,831,976,179,739,851,473,097,492,709,219,992,
253,868,000,785,957,138,643,291,574,664,425,561,280,054,020,793,359,404,025,
687,850,899,640,788,581,966,792,755,761,307,123,605,404,737,276,732,021,153,
255,736,382,558,926,343,939,536,417,917,094,552,717,535,940,739,190,593,077,
770,950,097,612,139,522,431,893,495,658,336,273,614,158,425,684,334,364,528,
860,373,676,422,393,020,320,495,945,225,782,287,414,982,811,733,627,252,756,
740,082,554,180,673,377,217,887,267,212,822,359,892,190,036,920,445,974,535,
580,570,386,098,262,854,506,345,409,420,061,363,825,082,331,466,734,945,971,
458,588,893,159,575,577,471,018,910,570,034,960,680,495,852,776,567,084,224,
312,625,829,725,633,851,178,967,868,050,060,085,658,549,888,774,934,408,508,
697,499,490,122,711,488,927,181,249,873,217,801,239,413,452,468,767,353,471,
942,724,362,635,410,451,062,075,769,217,185,569,188,885,996,070,824,931,880,
804,514,348,788,651,459,842,842,348,216,466,149,988,814,128,481,720,721,750,
989,917,447,863,898,626,155,543,999,842,926,668,972,534,298,430,091,688,481,
588,077,589,241,202,198,374,325,410,553,383,060,691,498,730,108,753,587,412,
570,954,784,103,818,747,570,241,464,443,926,365,634,603,481,626,618,453,320,
792,238,342,249,386,303,457,079,449,648,178,783,944,976,643,133,598,080,556,
167,303,586,021,513,172,728,819,890,290,316,883,323,943,119,961,635,178,526,
483,785,064,093,492,868,804,485,196,470,841,151,457,062,541,013,492,507,178,
820,158,893,839,076,382,539,329,724,638,138,953,052,814,430,724,131,085,889,
081,958,786,786,340,241,014,816,547,502,501,005,272,677,917,672,134,373,428,
981,620,894,065,480,928,065,611,993,246,554,278,378,253,712,654,834,883,469,
851,285,994,407,435,902,707,068,945,772,124,902,686,088,409,655,888,972,108,
299,568,106,823,857,072,075,864,327,275,009,064,826,612,057,353,172,054,626,
241,814,604,215,800,806,039,559,688,823,308,403,260,990,618,659,695,564,921,
264,730,568,784,593,113,921,675,791,723,486,753,312,731,902,265,111,243,510,
550,960,267,013,346,191,819,256,605,630,256,661,884,555,720,697,387,473,158,
725,008,268,933,586,600,425,987,693,687,477,530,680,861,427,547,391,236,038,
017,005,873,591,416,362,691,212,461,980,168,928,780,232,196,759,778,280,085,
990,190,577,332,764,766,014,164,700,411,779,589,322,793,471,097,649,961,793,
557,790,737,545,293,063,969,963,281,994,455,828,026,080,275,386,178,000,597,
481,498,117,936,658,639,002,245,987,354,672,920,882,186,342,570,982,863,094,
347,010,274,604,286,650,966,913,725,403,036,609,760,011,554,360,294,222,688,
140,459,309,901,819,315,898,552,878,727,350,576,022,238,174,085,111,157,273,
200,589,924,512,420,764,782,640,798,062,199,814,115,675,675,648,821,759,573,
668,632,677,986,668,898,940,218,865,628,339,270,300,020,374,306,837,673,108,
626,348,342,742,971,475,647,727,831,039,599,249,880,801,064,169,376,497,924,
465,103,098,520,299,585,457,788,906,654,053,241,742,717,278,173,873,073,194,
006,486,101,966,705,248,267,361,726,908,325,759,640,630,744,060,945,499,371,
134,118,058,749,868,366,515,281,790,730,665,513,113,468,076,858,258,037,597,
109,699,806,582,580,362,945,357,663,962,341,976,149,463,856,539,461,101,947,
598,657,703,697,128,381,463,547,431,695,324,834,212,803,082,220,723,689,738,
084,930,204,777,309,061,310,361,787,851,492,894,234,795,336,103,624,868,866,
317,634,663,466,275,928,379,869,550,054,652,808,784,305,124,111,950,218,336,
565,511,154,046,677,703,155,293,013,627,017,972,058,411,627,786,013,675,871,
146,168,794,273,724,499,108,069,737,759,882,082,068,962,516,550,204,177,789,
747,487,557,166,262,245,424,855,418,840,838,139,584,314,989,966,577,738,186,
219,708,375,448,356,973,089,978,195,215,186,680,928,624,610,012,580,271,500,
132,713,862,352,433,078,617,244,878,708,207,721,956,090,718,024,526,782,807,
144,449,209,614,917,799,457,321,131,161,439,383,226,363,905,148,067,656,463,
479,692,818,692,426,854,448,511,256,930,016,802,062,654,158,914,162,729,043,
673,302,020,408,044,302,014,415,479,806,369,947,427,760,443,835,442,496,504,
730,698,136,151,979,697,074,046,060,162,338,365,177,266,292,560,888,497,927,
934,183,311,228,224,463,434,815,322,232,299,703,205,184,718,272,862,481,336,
025,233,707,803,142,445,926,837,066,268,798,912,730,706,544,312,402,730,511,
912,958,115,037,883,086,768,810,283,032,334,663,938,242,307,321,906,700,645,
397,759,031,492,584,778,026,034,839,715,418,976,464,442,899,724,124,914,771,
781,734,530,322,467,000,986,790,675,678,736,485,755,844,617,048,325,668,733,
863,261,416,627,689,228,608,208,902,189,901,186,808,035,031,351,832,368,920,
529,881,550,541,710,724,669,998,577,707,627,497,388,460,466,109,514,089,349,
262,941,327,684,276,669,487,985,185,403,133,221,553,036,965,829,785,680,278,
336,979,133,576,147,664,656,996,550,487,570,598,960,712,538,133,325,708,066,
120,703,141,028,278,744,244,936,309,423,887,349,108,689,553,962,549,971,797,
383,283,896,242,666,768,591,079,132,406,169,557,200,275,574,361,303,124,495,
990,978,808,687,304,545,313,008,767,405,222,344,426,585,632,357,760,715,818,
291,753,591,116,892,186,984,783,813,528,461,442,182,680,677,118,661,117,533,
238,286,556,273,923,730,219,486,411,943,217,281,648,578,317,308,496,974,623,
531,814,736,274,369,035,743,513,587,847,925,908,148,688,445,419,224,013,104,
140,752,489,748,729,709,465,355,876,080,124,223,824,251,414,774,097,142,192,
921,192,093,267,786,717,839,755,422,631,757,203,508,371,009,249,807,336,757,
513,196,565,044,742,936,704,294,492,567,683,583,680,491,060,629,887,626,627,
315,183,973,484,422,995,731,664,359,649,100,434,703,597,353,459,778,206,005,
456,697,725,683,176,583,072,028,939,724,537,836,085,629,282,273,075,529,561,
806,264,283,745,681,404,597,932,595,270,648,492,810,357,505,316,449,394,135,
247,209,943,118,701,847,017,024,069,988,872,791,133,302,090,366,023,564,970,
460,470,647,353,345,211,138,988,959,002,793,004,244,224,883,327,242,554,378,
017,220,416,921,959,412,671,774,769,271,661,332,383,330,887,419,461,666,953,
877,715,379,411,159,936,070,007,347,007,769,628,572,634,065,847,525,590,240,
989,014,316,780,145,542,949,969,764,879,808,870,945,494,672,023,290,421,104,
593,558,855,203,729,327,616,905,152,991,256,826,378,795,130,464,952,920,516,
766,840,044,031,421,889,874,208,152,738,783,828,360,426,422,710,600,197,243,
125,255,935,292,429,330,249,625,367,963,931,208,879,776,009,053,649,916,310,
526,925,850,161,640,108,436,085,271,620,004,196,810,627,784,833,568,704,655,
772,362,356,575,159,288,371,259,612,507,744,317,551,537,964,455,344,755,812,
952,505,467,959,008,815,906,890,333,841,819,272,854,066,651,480,221,966,364,
716,471,740,685,924,872,428,970,136,834,803,026,752,294,873,892,420,114,764,
624,531,688,873,046,745,269,687,267,741,124,108,464,889,907,188,967,021,963,
828,667,636,858,171,711,181,124,985,263,634,144,469,173,104,691,899,791,828,
508,172,451,439,163,585,559,025,911,191,332,351,664,652,080,668,037,919,413,
531,327,300,522,499,172,936,445,958,100,254,882,369,433,862,554,660,218,671,
721,098,046,220,924,503,277,745,460,416,748,079,884,786,982,529,411,836,640,
368,613,269,176,718,179,271,377,203,803,472,962,649,248,216,328,132,928,012,
822,183,936,626,862,266,146,559,564,175,445,505,636,900,107,181,374,803,575,
488,505,559,521,230,313,833,080,802,886,708,098,557,441,471,587,109,606,374,
394,595,094,502,514,834,255,178,337,250,288,568,975,701,546,731,027,404,370,
296,845,197,014,735,028,384,441,992,156,415,985,425,572,675,488,752,813,963,
004,712,410,390,267,515,530,676,149,179,861,458,969,047,871,177,696,018,982,
673,148,737,797,306,907,194,740,987,145,014,642,526,695,253,469,893,752,963,
425,141,848,534,326,796,104,251,989,459,470,632,248,415,322,363,648,834,929,
684,576,263,778,032,968,589,061,251,960,366,745,239,063,923,112,354,838,576,
822,551,381,548,850,181,192,334,112,562,338,079,569,780,290,566,787,802,729,
033,582,759,798,031,877,174,810,518,729,471,330,094,176,340,696,233,459,001,
951,014,740,998,132,163,250,953,560,059,913,451,254,647,268,063,772,057,255,
520,865,873,631,230,798,514,607,536,374,309,147,930,064,005,783,469,466,468,
606,636,661,682,997,906,762,098,672,580,254,252,642,553,423,127,559,750,077,
720,767,072,263,861,096,550,190,997,710,582,075,561,793,934,531,321,452,918,
609,958,696,550,286,897,900,507,451,619,592,484,103,700,110,340,306,129,753,
668,206,174,165,940,971,057,194,930,068,653,812,494,834,335,977,859,415,808,
754,146,060,708,572,381,112,405,434,993,891,281,824,374,675,115,968,528,636,
856,155,278,719,027,170,423,063,546,839,429,362,208,108,179,567,146,736,813,
951,907,117,423,685,039,740,163,908,984,786,124,047,358,340,698,832,056,639,
549,402,504,450,340,915,275,964,799,683,647,713,516,863,898,930,877,950,056,
858,946,766,885,882,187,176,814,824,942,702,148,143,226,878,155,154,995,583,
619,659,421,135,469,712,784,072,966,664,184,623,176,550,207,059,267,132,053,
610,925,072,771,228,842,536,072,398,495,967,677,172,640,295,335,679,481,242,
530,938,790,347,537,139,604,600,971,366,926,796,154,569,316,122,541,070,800,
545,180,933,945,334,771,673,362,824,467,293,631,003,809,928,155,183,423,449,
615,840,596,878,445,581,595,772,555,877,405,893,057,879,625,722,138,264,667,
172,617,048,612,150,717,350,551,301,380,409,700,637,505,646,096,047,601,574,
778,425,101,531,357,623,279,969,701,791,384,446,053,215,567,377,739,295,877,
230,177,798,259,601,071,002,244,102,756,690,231,432,429,339,204,230,205,097,
781,236,381,776,977,555,641,189,105,126,027,306,552,459,163,613,935,698,935,
170,832,134,401,538,137,692,807,587,897,492,118,517,712,262,858,926,614,375,
644,155,960,797,025,804,846,958,252,849,219,960,555,081,123,136,731,488,918,
156,377,115,680,611,178,932,208,267,401,587,848,218,523,353,929,525,130,792,
209,594,602,495,128,014,359,120,936,034,231,599,644,235,946,379,020,116,280,
491,212,726,696,215,035,606,151,693,684,519,119,510,341,686,635,060,167,255,
845,880,701,855,364,053,708,142,901,102,708,295,102,932,369,061,684,810,934,
363,925,965,821,510,691,898,021,957,271,570,181,074,452,572,249,713,240,297,
689,895,518,984,242,855,100,071,157,362,379,796,945,332,780,474,711,625,912,
529,362,933,543,958,398,423,392,971,783,269,729,956,121,101,575,899,908,402,
310,736,355,611,237,061,962,233,976,777,313,393,569,766,194,351,864,796,925,
009,227,152,526,914,856,277,364,061,617,630,984,580,802,935,647,887,270,995,
833,804,832,055,699,439,988,516,673,083,565,139,752,188,595,733,955,806,321,
743,650,127,045,117,444,663,890,530,593,297,519,415,773,145,244,904,868,258,
937,216,396,862,414,919,588,263,088,116,943,040,986,474,943,370,880,989,542,
377,964,572,943,389,645,818,421,107,549,894,632,593,461,364,353,891,152,454,
043,441,099,854,418,293,665,938,618,977,675,558,738,925,725,265,027,211,086,
793,848,969,395,976,125,779,912,646,425,081,030,270,909,763,658,836,741,896,
365,257,682,988,248,724,183,091,312,057,904,883,373,856,301,508,570,208,930,
929,456,211,864,257,397,690,024,817,417,554,835,949,345,398,717,548,894,857,
847,088,957,182,370,872,468,866,346,505,244,706,227,760,538,388,872,573,889,
204,957,116,477,186,612,100,634,792,818,837,731,497,510,647,607,845,969,745,
052,762,750,074,547,215,899,280,021,447,592,943,709,055,079,044,394,150,464,
555,852,765,564,904,265,637,825,604,481,178,673,702,654,350,133,943,741,369,
204,660,262,026,086,484,647,048,745,850,894,374,740,281,882,087,779,747,523,
146,525,348,297,084,211,855,811,127,239,637,663,082,697,474,406,051,528,330,
526,368,340,385,985,552,670,631,701,763,970,008,144,364,273,101,019,804,255,
184,836,863,364,938,424,577,402,047,595,540,487,014,664,867,180,427,801,447,
718,900,583,428,178,960,522,493,259,254,436,410,733,152,641,015,648,478,998,
482,377,269,128,851,001,580,684,467,137,274,864,223,912,433,956,409,812,759,
744,451,224,046,416,942,082,143,219,195,958,227,091,269,470,352,756,582,325,
143,753,347,041,211,154,498,318,782,035,587,899,490,496,533,029,689,977,863,
320,163,631,868,701,285,528,499,577,752,048,861,737,472,991,310,703,093,769,
685,704,451,903,652,825,219,700,261,050,013,606,222,987,405,643,727,444,753,
862,543,703,749,456,182,379,280,892,101,339,186,227,521,676,217,486,132,732,
381,553,311,156,673,824,023,095,046,101,990,191,228,188,348,002,418,945,271,
539,630,417,202,365,356,131,902,184,161,912,298,946,866,674,182,908,882,826,
850,112,117,276,865,150,940,969,005,877,155,056,748,651,574,902,363,763,931,
964,356,334,398,113,745,657,763,322,565,142,114,907,839,090,264,861,869,888,
062,788,322,389,486,154,588,137,540,058,842,321,223,145,724,711,959,269,055,
707,070,054,707,089,595,247,741,129,492,377,142,633,355,828,873,910,626,510,
433,894,261,809,307,386,862,896,672,840,520,666,049,030,489,043,335,358,502,
299,746,674,020,962,875,664,281,317,379,978,281,108,040,632,886,359,000,241,
405,564,889,050,477,945,340,874,177,628,778,506,893,046,494,533,532,939,581,
302,666,267,467,696,379,930,136,043,961,155,418,937,697,257,934,658,198,932,
744,695,378,131,210,085,502,119,645,533,628,115,490,894,592,298,772,160,459,
096,314,200,593,163,789,895,869,821,055,339,018,759,559,634,231,140,318,858,
489,132,491,949,079,108,078,572,966,388,673,710,644,289,366,879,657,502,455,
206,253,047,788,594,510,770,894,250,828,215,743,925,733,441,551,902,626,926,
723,168,710,126,485,713,117,258,032,000,685,991,032,068,748,938,815,891,296,
191,308,358,952,897,581,891,460,020,765,426,067,324,912,289,752,017,954,204,
799,478,784,732,762,931,611,730,107,052,765,018,872,001,501,419,420,625,926,
366,437,259,843,695,248,372,509,647,868,689,051,585,840,833,225,716,023,691,
350,971,515,352,428,770,578,882,213,795,668,840,641,372,522,937,018,131,096,
927,230,241,379,931,727,397,873,030,753,677,884,853,881,902,158,327,066,198,
077,070,415,177,872,153,641,514,942,681,097,600,002,443,744,721,568,082,534,
009,172,371,351,576,329,657,697,733,440,276,497,972,858,463,693,016,141,066,
147,484,639,240,534,586,352,669,937,046,423,133,753,077,107,277,520,054,657,
868,957,631,442,589,186,635,439,281,189,153,765,446,393,723,820,307,172,295,
099,942,459,570,179,684,729,436,564,451,620,757,194,911,760,402,859,669,579,
028,048,817,990,195,293,574,343,855,254,119,327,550,722,457,686,284,940,803,
201,784,488,441,768,993,723,665,941,975,149,398,812,809,665,155,934,915,892,
579,671,395,455,091,947,638,202,183,647,125,345,138,090,351,760,715,727,214,
376,845,964,625,872,302,789,043,199,338,823,389,612,478,801,080,578,765,203,
206,498,746,140,583,596,441,578,496,785,836,634,609,850,875,619,426,743,257,
801,599,901,596,686,037,638,008,577,700,476,003,332,169,428,833,288,503,848,
012,427,518,255,017,858,784,733,351,228,021,228,488,634,943,665,967,438,432,
110,809,919,393,383,083,824,086,874,280,006,577,426,715,127,415,940,979,987,
676,615,341,821,244,604,249,213,069,025,949,979,556,942,860,187,858,359,502,
597,538,116,044,098,400,283,718,829,707,959,365,644,778,935,686,582,134,357,
160,901,460,884,252,501,734,607,379,762,715,279,510,473,150,914,717,315,236,
472,961,981,925,864,789,820,102,127,116,085,816,990,027,167,496,316,457,454,
512,505,928,846,569,577,464,991,883,497,438,873,252,709,540,596,024,072,391,
439,172,281,335,791,762,162,565,031,052,923,943,496,878,200,506,909,033,225,
394,826,545,149,941,838,857,190,702,212,741,579,943,156,279,650,959,229,215,
242,959,162,282,899,599,181,938,699,650,893,335,581,371,401,129,173,584,842,
426,384,685,260,764,802,651,306,666,274,977,298,482,167,847,545,075,135,695,
278,806,770,906,974,670,225,709,194,092,525,772,251,002,800,569,671,339,759,
949,089,184,874,958,014,982,320,234,791,245,971,668,556,002,407,843,520,708,
459,833,668,816,849,223,426,512,394,106,272,491,587,272,866,455,010,582,794,
419,554,448,059,459,650,922,176,445,220,739,825,431,523,145,183,267,066,371,
879,505,258,748,741,730,855,415,028,695,302,861,893,834,353,196,928,828,919,
035,030,588,246,534,142,955,128,887,372,164,442,994,662,051,703,994,150,533,
398,501,247,128,000,767,176,910,450,273,608,016,681,099,104,850,130,764,134,
056,180,308,949,712,845,074,673,285,504,547,900,090,690,660,057,784,430,160,
176,126,194,452,657,134,315,854,864,964,712,427,682,626,328,928,809,059,213,
261,406,158,545,878,724,767,989,739,729,900,356,387,021,692,720,030,492,083,
166,097,334,712,444,309,098,172,724,656,834,197,120,332,492,764,442,313,026,
978,531,409,168,746,986,955,495,279,145,445,894,776,563,999,824,056,798,816,
955,246,651,321,002,358,557,175,500,320,509,897,668,557,840,857,749,941,565,
103,529,540,983,955,076,600,581,108,523,725,587,812,451,848,150,170,118,951,
864,281,879,225,426,567,581,657,663,431,340,296,508,805,471,748,521,296,165,
130,169,391,142,808,988,010,905,602,499,486,035,261,977,234,768,829,984,448,
678,475,241,717,341,302,090,432,413,604,027,563,337,390,501,626,698,932,937,
764,640,565,975,772,292,988,877,919,461,231,678,343,875,982,294,211,965,225,
103,343,287,280,026,724,869,473,664,800,867,400,908,623,668,435,375,330,030,
239,067,185,826,884,534,284,232,006,289,091,711,738,719,236,696,461,985,371,
276,585,442,105,479,444,812,361,738,515,076,065,803,809,182,632,758,858,788,
700,750,424,167,387,004,204,649,938,957,692,906,639,434,264,721,649,563,407,
892,277,703,581,820,551,913,071,775,801,609,292,432,648,107,464,985,528,988,
991,434,505,020,654,708,893,270,259,497,804,862,633,315,523,423,194,120,078,
063,147,642,653,240,829,758,090,446,268,480,423,228,872,840,952,566,526,400,
996,902,968,867,507,760,228,471,519,524,192,374,712,828,077,788,223,972,847,
983,984,127,051,691,171,282,091,755,764,093,245,541,431,942,964,437,144,212,
619,138,888,123,622,607,517,477,987,217,918,019,192,308,167,325,611,624,099,
361,357,892,701,169,404,110,650,250,194,496,346,213,174,800,282,416,786,815,
020,442,898,259,952,084,911,244,566,486,280,213,373,884,472,410,079,921,515,
323,507,911,409,525,034,952,564,056,756,787,171,568,450,149,136,349,626,815,
918,544,884,257,986,095,011,257,057,744,971,812,560,824,141,202,549,745,694,
102,457,610,272,238,267,357,818,206,822,237,250,878,974,041,498,762,205,281,
484,478,325,515,218,207,465,231,226,952,098,264,715,385,038,651,516,180,715,
521,426,928,064,571,194,017,745,064,775,171,216,906,414,458,885,010,708,422,
408,905,739,582,546,398,867,999,139,314,319,948,849,839,243,090,073,673,625,
982,562,803,940,404,834,958,573,273,097,173,866,265,534,103,612,952,683,762,
293,638,733,117,895,052,164,769,630,798,010,128,454,169,761,033,430,881,812,
473,475,446,573,994,555,438,038,396,671,515,044,345,078,874,754,283,365,950,
351,577,296,912,676,710,924,697,530,101,120,742,408,208,423,578,934,387,500,
732,765,018,851,496,350,137,205,038,509,872,506,786,269,416,731,127,474,813,
324,936,255,141,385,062,835,565,260,183,898,085,075,146,555,620,207,162,381,
088,109,495,788,034,228,114,003,698,238,016,550,980,361,814,442,942,778,963,
595,095,257,692,843,087,101,793,967,077,488,532,914,771,131,128,493,282,988,
672,506,389,712,116,223,840,249,690,699,098,644,268,966,540,923,534,908,848,
566,808,348,719,928,620,086,385,386,730,762,853,833,263,517,694,090,642,967,
667,658,716,349,616,572,813,168,105,066,071,358,069,794,025,669,963,814,115,
571,440,101,809,801,677,719,986,558,013,171,775,668,167,159,828,569,227,007,
737,213,233,761,175,831,873,367,766,834,254,985,199,196,980,757,490,358,700,
867,062,447,990,596,331,478,731,264,948,447,608,231,389,650,193,013,553,167,
235,734,207,697,885,408,375,041,942,547,291,907,032,552,466,250,738,307,407,
480,414,752,455,590,150,706,010,836,309,979,850,466,823,059,438,450,335,783,
093,212,521,728,424,723,133,306,420,159,468,116,376,424,719,863,021,968,918,
099,777,836,850,477,083,093,783,071,270,645,158,674,543,267,049,102,326,626,
130,072,267,939,676,326,833,919,700,259,526,675,739,103,423,730,948,648,336,
925,428,833,977,434,401,251,866,553,595,027,400,956,497,592,447,877,742,027,
892,021,767,708,469,102,665,274,839,684,150,627,506,429,072,568,288,692,207,
009,940,310,486,543,613,616,122,665,698,486,062,776,667,527,219,562,211,766,
272,568,535,986,671,733,666,597,362,651,112,686,088,955,388,597,597,660,810,
294,984,584,358,037,829,767,558,446,384,635,928,637,765,375,127,289,646,884,
608,591,719,376,606,684,465,747,224,629,408,590,000,943,826,511,126,910,679,
277,992,921,826,318,748,443,706,273,218,114,031,845,975,690,770,560,869,126,
247,527,513,476,817,791,787,705,544,385,094,011,496,619,293,625,054,526,444,
016,644,787,590,407,228,353,449,897,759,479,485,292,039,733,509,668,105,606,
721,549,123,995,967,912,362,765,288,647,626,677,279,176,050,760,214,716,749,
546,362,269,042,795,636,868,036,342,218,504,420,577,036,975,645,516,873,634,
697,907,364,756,217,897,016,743,781,890,307,806,731,635,471,071,018,219,073,
313,549,200,753,129,184,005,354,341,226,928,428,911,267,276,973,497,331,602,
547,332,915,731,130,660,566,754,529,228,727,140,615,239,282,179,884,842,276,
662,747,733,215,145,684,326,127,875,280,965,506,171,199,531,933,875,360,424,
373,312,372,053,859,985,205,337,367,546,928,879,251,143,846,511,474,306,301,
684,326,427,532,509,665,743,724,978,730,353,370,242,159,035,963,670,818,698,
030,235,237,636,660,564,415,080,701,567,052,715,470,722,518,517,089,106,134,
016,668,795,073,240,984,774,868,905,349,944,826,465,070,005,933,330,324,107,
933,353,758,976,194,286,980,617,340,377,509,149,343,169,516,295,850,177,532,
710,868,365,935,481,922,154,586,877,078,506,323,281,665,347,252,412,889,230,
216,915,989,643,020,559,859,685,397,753,584,770,705,637,454,616,472,020,498,
988,338,582,129,678,833,136,942,715,162,722,629,207,537,612,701,184,542,254,
347,782,457,227,600,570,831,796,164,587,421,839,692,397,693,676,695,136,822,
148,514,579,004,180,652,498,201,987,001,524,447,585,104,973,587,532,497,788,
532,274,599,145,747,302,824,798,293,736,295,521,979,296,865,381,819,061,433,
368,362,144,218,734,098,453,379,530,291,076,153,759,337,847,099,184,259,497,
959,718,012,814,689,237,438,391,473,855,062,455,918,780,378,369,816,090,336,
972,584,110,799,693,359,395,737,822,675,792,014,876,508,090,956,461,470,473,
046,926,554,262,516,498,974,583,032,628,033,605,116,185,036,000,558,826,893,
389,187,899,470,840,992,448,462,655,945,548,517,704,287,785,909,684,316,305,
325,185,679,123,750,748,838,175,226,405,891,847,050,206,361,352,018,207,005,
763,541,282,262,887,315,938,956,421,531,641,052,220,456,012,458,737,883,586,
164,869,773,446,649,276,697,761,781,473,450,348,936,085,310,816,567,620,874,
141,122,097,122,805,901,688,416,257,941,004,426,357,689,647,769,927,858,811,
653,638,820,460,157,789,373,267,321,582,900,346,096,478,156,350,202,051,756,
115,142,940,402,826,612,585,822,535,361,532,523,044,653,825,155,667,378,107,
355,677,177,059,125,852,356,143,968,113,596,092,092,377,357,701,303,500,048,
593,105,635,115,815,561,330,316,782,073,405,258,123,823,845,547,572,298,094,
176,671,000,935,858,873,468,934,336,728,481,171,328,183,280,809,731,112,701,
440,988,738,089,335,670,972,772,048,392,742,403,683,357,126,518,069,713,727,
287,836,788,262,468,335,633,063,894,803,623,440,255,411,709,146,300,852,273,
806,614,250,250,685,776,962,401,666,757,667,364,728,851,361,456,027,044,313,
278,669,405,222,213,494,705,977,468,910,267,979,714,838,440,487,601,035,649,
232,990,842,093,915,229,969,711,619,237,701,520,928,958,359,714,177,747,842,
485,862,932,612,584,768,039,199,441,547,385,346,968,580,925,482,245,429,315,
208,286,115,082,346,455,719,312,156,880,042,365,245,957,126,713,958,128,012,
440,406,623,418,553,988,842,791,466,056,637,421,624,366,854,850,090,524,637,
359,892,170,372,778,373,320,102,738,190,840,252,703,726,906,584,816,027,894,
766,533,619,497,986,902,733,228,574,516,213,087,044,373,144,304,598,610,992,
213,651,916,972,599,390,560,966,481,468,464,545,745,540,167,673,368,036,335,
573,541,498,207,632,906,129,764,669,817,560,040,953,630,159,971,865,953,512,
527,724,008,352,701,820,271,599,161,171,883,754,967,090,953,924,640,318,241,
780,066,999,659,303,121,538,795,879,074,283,368,791,418,820,766,499,932,044,
980,795,631,235,305,997,624,952,051,612,162,017,203,493,097,716,725,343,763,
785,344,633,388,188,303,987,621,947,031,446,192,268,239,990,287,908,037,926,
038,508,188,709,069,314,721,354,261,635,065,728,300,225,597,626,379,712,191,
595,630,767,122,531,000,357,379,191,861,267,441,834,270,896,351,405,951,763,
152,163,808,234,902,742,947,250,134,461,586,351,982,716,819,855,792,864,200,
664,551,437,427,744,338,850,818,091,066,171,257,554,533,963,253,513,880,435,
733,618,630,366,185,481,362,442,349,263,220,567,512,003,492,600,764,339,545,
613,827,676,735,415,158,005,290,655,628,645,401,101,611,354,489,475,678,809,
808,572,268,882,426,017,627,744,243,781,330,171,372,576,787,679,803,559,345,
182,713,871,485,546,426,188,345,872,059,013,768,693,078,494,092,662,623,479,
963,963,955,720,005,294,006,811,339,482,759,412,772,353,327,793,141,539,777,
135,354,839,102,957,190,699,998,410,655,315,687,439,271,991,236,044,837,745,
712,330,866,421,992,568,253,547,868,534,123,040,796,333,727,918,189,211,614,
816,285,326,168,534,526,477,326,190,113,658,082,400,242,047,311,582,948,085,
211,466,642,150,234,216,053,484,212,525,321,502,411,876,209,956,868,275,847,
824,367,681,669,864,106,170,576,218,125,677,933,826,360,294,760,234,086,674,
210,839,275,959,576,667,005,445,903,321,530,810,473,404,823,427,103,402,491,
507,753,430,445,253,380,681,391,263,806,232,446,349,942,183,535,039,100,581,
847,448,684,997,544,534,930,522,711,713,913,499,697,168,467,159,509,492,657,
411,025,127,021,966,012,901,672,336,617,936,428,934,708,719,132,495,107,704,
035,991,580,766,096,366,906,948,604,564,027,068,804,775,396,741,856,635,454,
057,740,990,537,709,452,617,611,284,300,191,016,119,211,672,009,449,925,506,
833,502,628,834,091,990,481,470,843,344,545,609,652,781,109,788,568,767,163,
795,888,907,610,083,008,398,539,549,922,883,039,899,330,998,715,263,755,030,
798,720,269,953,156,203,864,962,104,474,914,120,268,575,982,916,231,232,632,
861,994,008,278,626,182,833,194,138,768,543,728,471,576,865,031,309,674,025,
688,691,043,959,267,811,445,759,078,847,568,689,655,902,599,228,094,253,138,
430,567,631,620,244,985,368,780,914,341,217,855,594,681,042,482,004,243,951,
793,242,769,202,377,058,991,745,956,360,304,563,820,796,323,093,030,187,738,
516,263,176,257,868,288,555,721,127,937,561,619,174,566,618,045,586,578,454,
554,799,397,111,448,808,986,673,774,637,017,637,630,640,045,204,951,952,110,
574,522,452,831,853,403,102,731,058,902,466,578,479,043,532,036,207,786,334,
950,221,858,257,010,616,690,017,219,377,337,437,037,086,087,349,191,655,925,
790,735,919,566,347,843,735,175,894,173,812,480,282,059,782,636,361,479,561,
430,764,827,490,290,161,048,701,005,972,688,934,087,742,025,432,918,667,621,
316,206,212,239,909,159,678,319,935,366,948,881,716,884,147,819,339,379,049,
457,574,553,653,006,682,495,971,516,402,125,772,377,479,331,712,386,184,300,
838,031,552,715,511,200,274,586,935,147,789,580,684,317,308,991,179,627,638,
575,063,783,656,978,880,644,988,548,335,203,407,613,724,153,043,800,624,358,
705,839,605,474,602,284,697,896,749,607,306,838,914,777,174,973,530,436,095,
016,772,005,699,483,172,682,341,118,469,800,054,161,772,796,231,294,177,655,
925,073,737,480,464,948,165,713,333,883,301,187,643,330,533,655,769,195,953,
146,063,512,860,056,847,173,554,400,777,837,287,377,759,596,733,013,185,814,
835,481,030,270,690,990,960,548,207,057,269,486,102,638,099,005,845,717,458,
588,106,637,771,167,357,852,200,731,185,533,843,159,061,742,062,679,896,876,
637,754,563,323,383,377,845,286,408,792,388,983,601,105,070,324,685,410,877,
524,478,010,094,416,589,878,042,931,705,078,239,868,143,197,519,616,792,286,
491,943,471,408,006,554,481,177,828,149,068,173,141,593,618,184,953,856,184,
189,627,824,022,482,421,894,456,531,060,771,723,661,975,347,846,525,868,437,
668,569,814,364,559,858,419,610,460,500,481,037,455,728,652,973,462,664,903,
830,984,721,661,751,634,139,237,721,611,484,886,470,115,682,662,984,078,672,
415,607,356,956,237,446,798,151,324,116,842,142,285,476,036,301,501,777,722,
964,420,673,955,719,329,413,696,287,912,928,452,953,565,125,292,089,478,172,
652,380,642,824,933,823,943,096,441,821,980,080,775,143,064,097,697,850,447,
061,842,517,031,315,746,945,077,709,184,499,404,799,448,408,473,917,279,340,
655,890,959,914,145,283,470,177,532,073,021,011,450,200,326,747,267,959,717,
357,938,116,228,620,178,717,248,670,867,466,297,667,983,076,173,802,941,153,
824,200,899,769,578,460,651,779,345,678,606,558,393,957,244,469,042,177,466,
704,642,291,674,017,437,267,876,782,681,651,280,353,850,025,212,478,256,489,
744,110,945,834,275,183,626,939,647,918,185,759,929,865,816,598,395,337,856,
923,591,128,226,549,363,114,733,333,073,147,071,408,035,557,047,022,584,602,
435,088,250,049,071,809,985,894,018,393,864,716,337,373,079,761,372,296,901,
809,220,602,943,979,567,907,171,587,236,944,470,711,104,274,226,809,132,462,
425,103,301,327,726,944,276,776,991,309,552,326,552,546,746,455,805,378,728,
249,469,988,010,943,952,150,124,716,323,671,245,255,357,424,661,943,207,010,
512,192,636,679,292,298,538,982,003,312,646,595,606,128,468,035,882,708,333,
119,805,363,475,675,934,764,736,836,599,467,563,528,489,811,319,721,476,697,
133,410,257,658,251,422,213,678,738,124,914,082,422,076,913,973,646,091,660,
047,485,397,498,318,012,081,833,761,550,075,978,985,549,617,176,748,096,624,
582,315,269,156,083,024,669,004,836,524,110,849,102,555,948,993,534,331,699,
153,904,450,989,598,579,919,700,211,310,804,501,384,331,503,552,502,385,931,
814,596,994,305,895,141,516,782,022,742,022,286,273,690,993,668,936,341,722,
237,091,246,609,840,888,593,869,441,510,853,986,950,130,468,334,707,059,101,
189,909,102,401,621,910,712,971,359,949,399,875,907,999,296,322,485,683,627,
250,367,653,011,313,251,704,507,853,786,752,758,400,272,625,980,338,577,634,
621,859,714,643,999,008,679,812,593,516,170,001,869,937,716,595,017,973,848,
060,924,119,785,540,222,540,149,520,128,668,780,064,638,278,727,121,083,122,
225,106,952,501,179,634,829,044,205,594,268,539,034,201,752,524,291,866,088,
091,086,329,216,797,904,089,612,206,544,774,332,909,694,513,662,447,193,852,
556,885,384,955,585,788,180,716,145,258,302,884,610,914,265,814,416,814,642,
835,190,652,178,487,640,703,729,433,885,564,511,948,755,677,300,212,884,310,
191,579,851,556,316,535,041,809,033,970,404,850,866,056,247,263,451,151,100,
409,420,571,070,037,538,991,289,448,074,162,482,478,666,138,583,178,483,614,
752,555,993,219,308,181,786,911,740,420,848,276,218,874,907,115,855,043,627,
213,996,939,099,318,831,452,061,666,691,147,892,054,616,781,673,519,709,094,
419,378,732,301,719,095,015,649,785,792,204,009,870,586,494,373,860,216,995,
178,717,027,307,291,530,456,821,494,015,454,991,362,100,812,539,087,327,723,
923,321,015,563,934,033,466,496,091,398,891,964,762,601,540,137,944,227,971,
657,957,912,022,058,769,731,791,271,131,271,268,360,109,630,121,767,594,139,
534,928,589,324,222,976,026,119,892,648,031,921,032,153,578,301,650,632,560,
032,651,222,504,226,302,692,976,216,697,646,794,082,401,473,999,633,901,357,
268,169,413,275,977,051,820,911,912,531,882,832,440,257,775,461,992,164,697,
660,979,494,648,019,990,729,519,460,897,338,672,277,280,925,021,265,297,302,
079,499,022,297,128,142,319,472,087,129,954,564,620,640,449,110,115,123,779,
658,733,973,559,921,565,887,618,192,920,580,197,052,358,072,509,825,073,570,
497,158,583,013,019,135,260,498,354,946,512,252,040,252,512,157,271,451,477,
064,660,186,568,109,787,111,071,756,190,202,017,484,462,562,239,589,951,218,
997,868,222,792,859,926,833,917,209,835,724,881,487,251,459,987,779,759,763,
376,000,356,850,265,546,317,010,200,102,725,885,215,400,556,777,136,242,165,
184,207,219,262,471,870,054,362,602,132,470,762,935,768,235,604,744,585,641,
286,033,151,109,377,761,563,499,354,997,529,576,626,238,359,704,722,016,449,
246,758,567,695,243,456,219,789,049,232,846,388,955,666,359,891,508,258,389,
101,242,750,745,310,906,394,503,394,340,126,700,883,761,605,964,388,510,271,
433,558,997,030,712,296,743,486,182,123,626,386,168,714,518,859,853,544,445,
980,436,738,823,011,042,601,405,557,524,455,402,327,044,927,375,980,371,987,
161,709,125,013,265,173,527,783,432,782,112,671,560,294,696,837,624,680,986,
674,819,011,186,346,844,336,246,547,672,332,974,222,940,053,411,268,146,867,
361,199,847,647,721,659,934,133,276,832,321,484,966,776,186,943,878,271,838,
645,942,265,769,833,788,805,481,376,279,367,112,130,677,313,492,370,460,136,
351,879,831,021,725,437,620,043,807,105,617,351,153,298,517,484,556,666,879,
379,501,574,206,051,982,618,569,505,603,227,958,711,648,530,139,428,514,265,
595,035,633,164,135,430,081,301,602,537,772,114,301,219,363,152,042,389,348,
048,315,705,493,559,351,930,923,955,082,413,592,253,633,372,708,372,432,769,
595,783,898,638,701,761,640,624,243,427,158,345,575,273,803,414,449,465,503,
011,717,865,510,482,400,339,593,278,430,961,653,911,530,675,877,492,486,418,
049,017,772,677,422,658,385,973,463,995,580,667,743,355,456,962,132,023,197,
645,934,854,335,344,864,891,645,440,549,280,996,410,473,118,439,580,957,388,
880,696,823,408,278,884,920,403,800,236,182,573,068,191,726,143,061,074,583,
174,088,579,167,705,065,011,814,147,834,577,153,580,848,770,707,373,433,405,
181,754,912,469,705,526,466,375,759,057,110,733,585,711,260,530,777,926,572,
267,003,563,843,654,768,627,231,074,140,060,076,282,486,017,358,158,174,166,
779,996,962,171,092,926,127,315,629,487,392,188,832,297,797,163,125,282,818,
951,955,539,247,486,379,284,986,241,170,131,155,605,375,212,513,419,237,041,
871,488,553,830,205,317,713,270,510,360,301,497,778,322,069,389,655,721,034,
620,864,980,779,831,004,107,407,499,543,157,507,744,702,102,738,398,505,438,
866,070,991,657,570,796,814,824,856,149,091,439,885,100,038,769,761,195,579,
694,276,235,344,399,217,400,391,733,639,910,797,309,008,013,241,357,537,791,
593,369,303,564,346,438,446,964,217,372,763,009,508,058,659,812,668,558,084,
867,158,168,817,465,734,549,213,948,821,476,051,312,223,317,155,875,496,894,
870,316,588,148,153,103,071,601,295,448,751,603,163,478,500,214,550,681,288,
277,545,286,413,788,407,749,624,964,162,513,588,868,053,630,043,646,053,633,
221,517,210,395,740,914,213,164,183,621,687,127,234,410,833,660,140,901,914,
047,505,920,452,965,823,715,592,469,227,947,443,940,183,238,952,301,786,427,
644,707,677,826,903,166,872,021,394,055,804,946,374,332,494,243,690,128,800,
082,557,226,097,459,990,032,307,643,917,639,409,920,423,269,610,225,958,277,
688,031,054,171,084,640,126,964,362,494,305,206,454,888,898,285,943,159,537,
462,507,974,795,690,884,376,649,337,010,281,777,292,725,791,035,917,436,886,
000,642,929,653,217,934,807,594,669,850,582,090,207,262,598,832,126,283,423,
078,648,026,891,677,749,279,078,029,777,776,504,519,395,826,777,137,569,234,
895,110,954,346,912,106,565,693,950,932,273,096,974,751,794,218,044,392,810,
039,129,255,888,062,947,917,844,398,033,250,793,799,286,792,705,053,249,891,
938,105,210,708,591,063,079,163,151,714,961,533,578,083,164,210,565,540,877,
280,690,017,898,742,529,356,545,160,397,664,810,282,232,381,062,832,743,005,
236,524,538,973,789,010,753,119,004,486,457,550,910,694,170,693,410,689,272,
768,800,178,420,449,874,332,416,116,564,992,448,721,044,032,404,058,392,433,
397,117,220,768,884,894,327,566,127,740,386,148,739,019,403,363,761,174,724,
877,632,416,642,742,514,762,396,988,989,119,760,544,500,239,886,262,629,003,
760,042,156,579,534,061,800,587,991,614,705,927,056,843,601,398,271,881,289,
998,358,989,477,082,066,550,161,174,253,029,810,949,842,548,794,703,998,965,
030,417,245,998,532,880,884,745,279,816,458,870,942,941,048,196,769,374,405,
943,885,121,845,007,157,104,293,959,691,704,301,314,378,328,638,643,596,095,
348,532,127,721,390,248,698,054,023,525,317,386,765,514,241,466,470,691,341,
400,553,204,169,512,716,324,078,731,242,769,999,490,466,629,252,694,910,048,
912,304,898,051,885,374,992,673,155,333,747,781,413,836,279,433,316,903,348,
962,189,318,945,175,085,301,165,728,693,314,748,258,938,849,429,259,925,349,
136,502,245,563,545,830,663,286,345,869,690,037,054,371,182,053,913,218,245,
211,465,788,794,528,311,908,608,368,257,864,538,607,243,690,841,868,400,109,
736,403,240,880,242,015,832,413,551,141,842,218,294,340,668,909,042,542,265,
729,973,122,210,549,995,193,747,529,282,315,486,687,552,043,446,802,695,572,
210,810,183,976,213,843,054,500,582,260,744,455,928,668,082,575,222,625,064,
098,703,370,847,628,097,946,948,650,785,506,931,484,136,469,561,142,985,544,
798,015,557,974,529,007,325,701,704,289,181,384,423,324,621,087,802,193,971,
538,379,103,414,760,055,484,014,060,231,607,197,928,918,229,746,842,459,530,
912,823,958,281,327,759,903,238,976,442,477,531,872,068,561,854,339,951,932,
310,862,538,215,229,519,534,087,799,987,050,776,718,852,407,071,974,251,264,
014,952,482,202,092,924,924,153,389,608,500,771,461,240,866,860,420,016,793,
170,320,486,659,906,099,034,970,151,745,110,583,973,757,319,002,885,294,117,
830,870,527,094,123,209,896,606,781,504,476,369,217,964,948,366,684,186,707,
027,763,045,943,066,700,795,798,514,184,859,862,787,767,491,118,133,608,977,
995,849,953,387,214,490,639,959,691,341,478,917,734,548,042,046,314,966,293,
124,840,358,843,695,344,844,824,082,824,777,930,886,858,219,544,303,390,912,
858,777,702,462,913,677,433,072,243,520,594,282,292,673,875,554,054,181,943,
316,093,138,592,930,983,092,748,004,727,042,746,580,300,448,407,705,486,911,
845,757,204,560,062,486,269,143,876,537,171,121,472,627,179,575,970,716,807,
307,892,480,165,691,804,252,071,849,793,136,859,382,996,301,519,693,347,231,
300,297,374,095,225,409,334,198,535,082,024,688,059,401,626,543,669,547,509,
386,760,508,845,614,789,598,280,164,244,485,483,051,194,657,656,288,999,563,
332,965,746,319,614,675,953,736,915,303,232,449,108,580,655,887,232,274,816,
821,520,511,247,463,048,479,432,647,758,784,816,877,570,132,523,058,775,195,
971,668,759,511,588,490,009,495,887,453,049,821,831,800,135,418,877,366,694,
786,736,870,570,523,908,006,037,650,379,668,843,487,576,594,840,282,405,799,
338,839,079,287,426,670,254,858,340,362,874,013,650,427,635,269,857,950,958,
662,509,839,456,742,508,205,169,031,829,936,455,178,841,913,992,508,982,703,
608,990,904,956,571,926,010,370,276,704,203,955,471,826,343,860,378,207,522,
096,218,802,328,356,654,186,482,487,283,957,317,468,129,787,097,148,494,041,
550,763,320,433,225,791,216,444,890,609,767,225,495,992,868,415,698,435,350,
854,252,751,637,105,309,175,672,453,415,158,131,424,316,524,897,830,759,413,
503,933,648,123,935,744,253,534,984,275,669,098,294,452,069,635,254,981,918,
662,592,872,371,523,362,902,458,621,287,542,594,575,334,816,311,599,747,805,
799,634,301,272,449,824,550,651,738,981,547,287,642,943,345,122,494,265,374,
325,988,107,628,041,714,926,404,146,700,069,864,739,171,918,365,444,911,634,
183,390,369,988,150,489,461,033,291,479,238,557,118,468,710,457,798,058,624,
298,704,501,954,279,952,280,846,113,662,786,535,761,868,112,687,510,261,779,
225,392,400,266,183,460,283,044,192,284,628,682,253,539,623,491,281,758,495,
177,637,011,073,721,599,446,035,797,074,600,999,927,286,278,787,057,574,634,
485,784,961,471,177,211,976,208,446,338,165,809,854,280,495,598,879,471,470,
565,880,811,573,921,889,840,109,048,213,655,262,685,355,922,598,557,070,503,
248,021,780,211,614,401,133,912,914,721,552,264,010,812,844,895,058,663,562,
074,100,913,188,415,712,913,459,291,297,765,053,198,799,584,706,090,485,019,
916,014,775,311,241,684,947,650,108,078,648,947,035,047,147,102,482,162,686,
545,905,916,656,554,673,655,247,435,081,928,788,785,412,179,719,851,427,342,
023,594,037,462,480,593,238,003,865,172,428,439,009,549,843,616,893,550,332,
728,348,994,020,790,717,837,588,939,442,681,466,528,403,749,396,026,821,003,
191,508,683,849,918,846,905,626,362,628,303,767,079,682,756,430,164,950,697,
228,250,467,616,983,957,019,790,030,333,219,379,790,509,315,678,934,487,722,
420,906,661,944,627,240,065,473,527,353,891,659,733,629,185,490,356,070,438,
852,404,994,231,187,529,002,789,461,571,539,843,040,167,307,310,321,790,413,
405,138,120,597,060,272,880,398,471,222,349,655,185,632,874,975,693,408,736,
911,593,723,173,310,056,204,480,870,995,228,606,541,659,079,737,799,533,327,
647,436,034,943,172,905,380,721,992,042,676,599,882,263,046,619,009,801,627,
295,134,928,467,408,244,089,532,966,387,741,486,470,364,296,491,914,155,791,
993,387,414,048,448,194,844,019,508,978,073,447,249,473,799,132,052,405,410,
401,136,986,155,644,690,496,234,993,732,244,694,782,338,266,287,328,646,843,
160,113,272,661,025,619,043,200,543,040,565,206,605,355,151,412,443,700,481,
553,206,594,854,057,467,504,092,067,542,278,499,630,688,294,315,604,706,661,
294,737,130,296,296,961,581,428,202,402,147,677,527,589,605,685,959,209,105,
425,025,772,411,307,046,281,505,380,858,175,719,913,664,018,432,332,171,432,
029,886,124,670,322,692,930,015,454,884,333,683,958,423,970,580,137,231,694,
600,805,678,789,807,064,465,707,046,056,956,993,538,573,333,891,718,285,737,
848,199,532,407,700,947,363,924,014,357,833,601,000,275,147,609,808,306,002,
981,529,936,267,844,830,767,432,513,948,491,317,043,970,453,003,386,697,942,
207,394,419,694,565,467,605,388,273,376,980,937,877,612,463,229,153,038,711,
991,107,177,713,039,859,470,839,606,889,743,014,684,942,384,093,632,960,795,
861,084,973,493,890,448,442,276,650,650,123,853,768,489,499,646,578,781,579,
018,997,234,909,830,401,013,030,116,082,810,373,384,892,144,751,881,976,925,
043,041,164,874,616,464,679,265,838,249,162,976,123,067,294,743,662,144,567,
877,845,928,393,708,250,759,055,223,729,407,828,486,340,361,240,307,108,949,
320,885,341,324,131,036,681,437,356,740,867,755,392,920,317,111,366,948,413,
456,505,019,064,163,500,940,258,503,298,488,124,311,073,278,255,157,672,679,
795,865,156,314,996,420,788,536,339,852,768,017,647,794,026,101,161,942,110,
019,644,882,660,733,707,261,280,410,555,472,555,147,847,605,803,983,116,501,
484,249,411,099,190,837,260,910,558,265,346,656,517,684,411,840,808,564,427,
629,090,756,877,757,218,818,836,377,515,938,669,671,913,102,102,980,239,146,
252,670,167,936,300,521,261,161,509,300,779,280,600,443,812,916,972,044,395,
618,499,155,539,245,435,538,402,747,094,898,925,858,103,806,084,196,474,426,
647,820,192,114,654,839,599,773,042,679,843,715,548,962,813,248,559,543,712,
864,166,525,026,163,452,644,014,191,291,308,359,824,095,612,044,527,326,669,
102,167,371,280,123,445,925,882,644,243,959,176,531,348,169,687,496,596,702,
669,933,669,988,274,447,454,823,828,173,191,709,636,250,532,052,115,860,320,
284,347,663,409,163,323,597,353,919,398,865,755,416,230,347,455,948,073,113,
613,107,399,151,605,031,388,623,739,175,188,048,337,254,887,029,380,955,640,
781,797,411,887,812,294,600,436,636,310,009,569,618,296,855,836,167,955,119,
560,235,457,724,296,027,664,628,478,362,845,720,066,242,353,394,134,204,586,
210,410,628,511,280,940,171,297,594,360,479,753,972,283,419,187,182,539,655,
387,435,940,942,637,091,032,866,431,371,555,759,969,222,417,602,212,839,574,
011,751,445,320,316,628,270,962,826,928,909,780,483,990,707,412,465,772,495,
170,032,312,507,087,508,533,904,259,175,039,887,788,616,177,297,190,917,888,
122,838,454,016,227,839,211,102,562,913,915,543,447,321,098,596,329,595,804,
425,759,742,453,251,190,333,618,757,287,891,234,135,540,034,412,212,002,236,
313,125,972,042,843,541,646,139,181,120,448,291,363,241,275,936,507,899,026,
189,877,187,283,582,062,852,974,828,996,339,506,648,826,877,848,927,148,205,
037,907,631,715,841,515,732,209,789,515,721,792,889,173,667,760,085,065,652,
331,888,426,387,112,003,128,888,988,138,936,829,826,499,285,337,967,613,267,
558,595,429,454,963,482,329,123,204,629,567,083,085,560,929,023,511,593,848,
072,413,353,044,513,832,735,908,737,755,897,361,133,355,446,412,726,996,085,
125,592,169,558,237,248,342,301,359,501,529,318,048,940,808,716,574,399,103,
162,257,866,371,737,702,236,777,980,109,699,864,521,258,334,795,525,833,906,
293,381,691,667,867,762,699,257,992,701,006,506,314,364,618,528,262,429,884,
640,486,262,039,631,924,937,767,906,388,130,437,258,338,222,358,322,466,582,
767,395,900,590,657,873,861,567,859,842,827,766,776,529,861,076,230,883,373,
998,070,304,000,348,383,299,454,668,586,270,433,571,523,445,767,463,571,801,
598,581,980,547,149,343,079,482,371,188,805,925,994,637,840,065,667,646,514,
585,594,046,753,755,562,904,040,347,863,120,734,957,906,522,127,784,617,841,
856,075,560,089,556,326,725,952,287,333,009,374,419,223,613,642,230,955,214,
910,487,014,375,937,508,556,819,741,995,863,645,405,136,344,176,216,997,115,
639,151,125,753,998,787,441,175,810,356,174,070,546,655,190,422,879,685,992,
872,298,350,959,251,086,879,934,425,638,280,207,984,501,144,257,560,507,117,
677,744,720,199,246,754,188,299,284,924,729,511,427,476,938,847,774,442,775,
124,365,171,226,047,176,115,273,226,512,229,805,844,481,096,984,600,212,467,
215,787,587,760,296,398,856,743,306,295,350,439,422,271,383,062,162,437,771,
693,774,299,820,774,993,240,882,736,836,196,851,094,079,096,183,472,446,272,
175,216,099,253,673,128,514,765,210,109,953,242,405,491,637,406,438,700,800,
756,539,881,138,667,808,270,704,041,744,076,603,717,372,809,664,032,771,895,
543,756,120,501,185,030,894,275,832,398,284,450,753,901,072,011,462,675,702,
172,745,338,618,766,066,889,969,347,012,491,272,164,229,582,869,314,819,850,
458,175,334,226,013,331,927,280,913,710,222,791,692,386,680,221,857,796,735,
788,248,537,886,441,361,601,544,646,696,957,166,072,348,414,202,360,638,294,
860,556,621,985,109,998,359,063,394,396,453,349,031,661,784,872,113,953,273,
717,203,588,902,132,104,135,157,034,037,365,720,369,666,750,326,071,143,234,
491,924,023,199,034,377,773,254,250,562,497,999,972,567,618,055,965,677,248,
949,280,853,903,429,129,217,648,673,500,719,406,301,442,764,062,355,756,681,
926,719,058,950,126,268,041,856,867,324,827,360,674,247,102,750,945,420,166,
093,066,695,522,009,351,690,046,573,470,226,330,272,678,310,098,387,694,192,
474,694,124,482,459,218,494,794,304,382,782,051,970,862,028,022,002,185,051,
378,128,176,678,749,421,660,025,748,910,493,122,755,213,324,657,292,862,576,
229,896,399,514,807,367,561,714,447,486,068,064,017,340,556,336,438,577,706,
611,428,000,066,147,106,984,768,539,779,611,907,698,680,711,427,090,489,260,
027,198,129,336,549,583,925,211,099,707,685,998,185,474,445,227,424,330,430,
363,701,518,765,338,842,975,044,468,279,079,513,468,165,561,963,174,873,220,
775,407,338,417,346,501,243,843,026,316,907,378,422,069,025,387,327,904,964,
625,041,091,871,719,756,937,559,994,181,906,747,615,107,075,965,459,298,092,
585,399,184,319,031,703,437,710,951,046,294,335,868,640,516,686,996,887,067,
443,400,049,067,121,871,986,407,823,002,206,956,367,794,677,910,410,974,321,
877,957,957,154,762,744,536,226,143,644,701,723,874,681,075,439,447,429,791,
611,290,682,354,930,084,721,955,640,106,498,348,861,165,876,021,451,929,806,
349,156,905,700,011,418,615,329,894,527,843,877,288,143,010,291,690,155,389,
912,114,081,337,862,443,950,266,001,063,534,105,663,547,186,762,914,220,617,
179,421,390,585,831,478,157,598,168,833,127,026,806,403,123,167,394,065,666,
662,469,003,364,341,085,818,929,464,043,093,411,124,291,069,273,025,979,922,
906,537,847,618,639,710,433,115,778,495,016,580,058,738,915,407,773,818,467,
289,630,905,334,141,042,857,716,212,816,399,208,274,642,828,404,659,619,247,
264,261,023,705,118,153,886,538,187,209,217,150,633,097,796,674,620,058,681,
167,418,428,889,732,874,212,790,760,593,390,377,316,672,856,278,040,462,705,
750,918,032,099,306,361,256,025,822,276,971,887,831,769,507,314,896,544,056,
390,677,197,973,811,582,293,679,639,704,624,259,846,647,459,602,374,477,664,
264,355,282,082,618,183,878,610,730,869,943,428,423,989,403,912,989,458,644,
793,790,052,123,436,323,888,672,053,122,198,284,851,358,277,591,866,592,395,
665,351,997,239,608,941,672,606,638,344,233,940,672,473,882,987,601,660,979,
290,433,649,981,798,755,411,645,490,692,614,447,283,687,659,525,278,683,251,
970,159,527,752,159,465,209,635,250,061,235,598,085,742,235,443,944,560,920,
191,983,711,590,336,919,391,681,423,534,745,410,537,905,029,841,693,732,789,
358,856,300,346,826,082,284,695,337,071,181,102,219,889,025,414,259,387,662,
711,734,426,899,599,891,796,998,217,688,500,177,246,488,305,591,386,522,111,
105,474,331,841,155,946,589,908,805,250,817,468,228,962,521,828,654,306,173,
502,592,978,553,117,246,018,847,026,108,366,274,296,854,471,322,062,592,261,
785,394,978,365,421,522,766,876,046,505,123,202,026,867,555,931,948,172,394,
255,738,302,071,900,373,634,859,718,382,829,733,508,185,392,847,852,304,625,
118,173,699,541,197,221,691,057,448,291,942,498,304,304,829,539,169,759,539,
054,176,146,273,150,459,152,528,706,107,129,648,005,684,266,597,476,866,879,
062,223,006,830,173,730,184,408,762,690,689,268,400,164,504,878,165,455,915,
836,749,685,512,528,837,788,538,482,780,913,049,757,169,798,005,618,085,959,
767,473,346,089,521,363,447,756,075,552,082,914,387,545,536,128,835,963,013,
737,174,203,393,522,553,511,741,111,510,920,679,949,893,145,356,601,009,021,
026,362,344,419,346,604,059,934,130,274,733,820,710,853,448,453,610,430,747,
091,092,884,538,210,887,405,819,740,646,584,355,778,551,085,660,729,880,694,
644,895,840,386,754,608,583,313,344,136,583,125,305,649,896,650,793,132,935,
208,875,390,411,128,919,237,361,133,596,129,174,250,083,250,104,888,884,123,
496,141,316,533,589,430,180,401,920,334,571,502,985,876,583,786,302,789,484,
094,954,871,537,083,634,385,216,664,358,719,613,591,357,734,263,279,539,492,
990,581,463,629,235,822,386,091,386,742,084,931,189,196,920,800,743,308,732,
927,316,617,508,804,547,881,316,123,459,857,324,207,498,419,305,292,781,516,
191,833,202,681,214,754,202,896,601,170,376,795,169,799,608,343,295,430,906,
939,879,594,858,577,791,624,679,099,449,458,111,246,027,188,181,753,158,623,
336,077,771,606,504,176,511,695,581,650,678,043,738,904,756,940,576,231,641,
810,430,209,967,391,648,866,674,928,617,271,992,149,803,056,683,698,119,253,
207,255,289,384,505,706,258,428,777,428,949,026,567,132,230,312,503,749,425,
858,068,505,561,403,703,974,278,133,981,630,210,196,943,580,561,289,017,441,
179,341,392,461,742,240,759,209,855,637,283,256,169,756,287,563,129,976,337,
518,885,776,434,264,178,451,938,718,124,718,890,391,368,877,386,037,506,962,
525,501,127,528,566,656,034,498,138,590,849,186,319,183,148,510,413,759,960,
954,910,717,453,144,864,370,557,044,662,944,204,973,865,180,878,995,553,594,
296,884,172,292,311,891,989,031,766,063,938,100,598,350,883,653,076,607,726,
772,888,042,763,248,230,273,498,785,595,178,919,451,034,115,040,698,979,577,
905,301,095,745,821,976,176,163,182,572,113,503,610,246,344,047,656,559,606,
191,879,650,145,671,906,517,025,922,093,776,528,584,579,191,943,788,751,602,
767,173,527,260,761,302,780,441,522,586,594,549,956,126,781,427,648,537,414,
393,278,126,111,612,470,741,505,013,563,274,723,702,417,785,133,982,416,396,
872,670,304,246,639,164,976,708,834,205,342,482,584,750,150,675,206,610,297,
770,083,596,423,971,437,534,706,394,181,766,115,298,597,716,985,673,716,642,
685,297,251,797,068,772,732,185,353,109,387,723,266,795,024,637,605,074,337,
108,365,388,908,617,520,185,149,071,235,766,499,177,821,421,624,626,178,293,
807,863,165,430,992,659,868,791,654,301,434,299,859,019,436,506,816,321,591,
152,803,356,821,452,433,784,364,079,304,109,681,248,815,350,830,979,490,905,
534,573,422,124,282,036,581,064,454,837,775,025,812,283,787,790,020,488,536,
970,311,664,188,578,968,307,468,811,307,704,013,417,227,309,717,547,710,020,
087,612,504,841,897,994,415,124,701,613,505,969,150,737,903,071,132,209,810,
418,353,803,437,107,633,069,121,550,518,227,735,191,219,999,615,876,474,442,
661,518,232,936,618,519,573,599,039,166,116,195,044,035,150,752,071,170,948,
729,472,627,340,485,341,967,219,528,016,394,552,974,484,099,805,393,289,649,
406,802,457,943,127,613,385,196,840,099,832,576,431,667,099,426,248,342,882,
706,733,564,047,169,882,269,013,475,069,021,725,208,176,774,885,828,893,793,
833,300,745,804,619,148,909,614,493,615,753,210,335,105,938,760,611,958,621,
890,913,841,356,751,891,344,296,537,743,165,040,913,827,108,633,698,615,354,
059,412,254,029,295,493,314,506,886,825,397,245,109,824,989,678,077,454,958,
992,154,284,819,907,690,048,872,365,554,893,293,153,715,908,399,366,041,677,
171,687,427,018,799,016,450,620,236,147,440,697,374,159,321,237,388,992,403,
898,052,598,162,654,756,006,533,600,699,095,094,576,155,684,296,772,147,156,
987,554,256,036,945,046,245,533,811,813,467,363,733,014,552,635,734,850,233,
585,788,862,939,486,838,447,095,196,953,817,266,644,506,558,085,391,260,061,
635,118,602,859,355,174,335,691,886,229,108,173,289,881,666,821,979,363,526,
579,207,257,090,363,591,404,145,764,607,575,246,745,109,283,650,332,311,039,
638,062,438,769,479,332,365,773,490,417,020,141,603,738,846,300,566,938,143,
001,166,465,641,889,718,845,995,895,466,433,020,844,052,022,932,977,276,625,
428,898,153,250,751,768,235,423,368,340,766,763,248,929,665,285,928,951,785,
165,628,800,211,983,049,126,506,947,093,829,812,387,394,849,245,956,992,056,
186,177,517,446,755,112,441,144,583,230,055,262,730,191,443,151,474,180,520,
616,184,843,856,995,513,606,504,826,508,216,115,000,479,384,770,263,046,276,
722,181,382,390,583,624,127,683,512,771,385,228,454,104,204,878,891,481,781,
141,320,451,833,384,334,641,536,473,597,749,565,704,146,206,231,933,307,626,
875,936,364,948,939,985,942,511,109,324,450,009,928,926,647,463,484,567,579,
243,667,957,978,763,779,922,265,902,183,552,945,494,788,583,803,072,529,260,
260,954,070,783,106,570,181,984,730,115,640,628,877,409,327,613,975,984,789,
724,500,514,324,186,549,607,739,757,821,577,584,656,163,188,598,878,609,313,
691,526,165,119,941,931,012,369,119,301,721,429,907,978,359,038,989,228,964,
373,483,270,129,028,831,044,970,869,058,560,530,021,293,248,483,206,369,162,
541,966,289,105,391,902,402,872,828,768,899,800,512,931,604,665,795,975,834,
178,861,883,695,942,899,527,496,334,980,975,923,480,200,869,709,316,833,266,
104,335,873,484,299,075,908,194,266,239,824,715,837,407,525,976,051,327,283,
995,022,928,161,536,631,614,885,262,887,765,547,661,611,692,802,211,847,042,
376,232,220,871,191,280,814,345,560,967,946,262,144,251,489,649,840,505,489,
416,948,098,915,019,533,795,798,891,153,717,796,547,266,768,590,850,873,222,
719,983,678,396,285,401,964,334,666,795,643,737,965,496,238,122,961,794,235,
288,841,368,945,347,736,782,433,177,833,560,918,042,086,508,676,182,439,847,
268,806,159,821,566,680,003,167,535,124,031,325,029,179,541,900,494,598,483,
164,836,483,045,188,177,958,107,032,562,145,284,154,028,143,134,146,458,172,
685,969,472,777,628,816,127,971,009,540,782,091,453,276,558,271,666,165,513,
458,775,417,384,872,909,519,998,267,195,662,926,439,722,217,110,415,535,984,
099,751,197,849,415,587,135,899,764,057,865,840,395,507,126,521,267,053,928,
362,020,975,853,655,941,072,887,171,772,515,766,652,998,635,011,360,808,581,
497,967,904,038,720,681,044,754,376,663,361,382,611,628,054,543,809,718,382,
732,749,651,028,839,719,839,620,676,434,036,171,492,488,700,530,536,992,586,
648,740,950,841,293,850,660,859,946,868,827,063,001,636,734,790,921,848,262,
751,893,161,771,942,505,072,053,936,993,986,744,254,671,139,190,921,688,759,
446,609,556,846,512,855,205,277,616,561,077,254,062,243,465,140,137,928,663,
398,782,566,780,512,112,879,352,400,415,340,871,197,130,628,303,393,462,320,
560,072,427,715,985,463,791,407,630,406,453,820,231,851,357,851,104,093,737,
818,512,673,915,702,404,519,080,828,160,660,900,006,452,467,473,444,636,509,
121,387,931,375,884,684,209,770,352,901,718,315,987,280,404,141,351,923,053,
496,702,563,610,735,745,101,393,442,093,223,069,503,827,985,605,655,106,937,
076,341,432,175,709,033,311,350,089,737,158,306,527,525,696,202,668,820,252,
377,393,049,916,467,110,788,164,138,159,219,150,106,217,290,618,446,996,423,
631,063,291,426,261,496,638,848,607,816,449,747,305,876,827,669,034,159,034,
189,479,027,788,892,790,508,244,673,592,889,359,994,988,630,782,633,881,042,
389,619,777,673,383,193,795,776,181,719,407,650,457,072,903,982,662,790,310,
401,071,544,664,490,898,159,869,563,457,792,456,649,492,079,777,585,740,532,
716,445,336,296,637,209,858,887,168,313,815,300,021,979,533,758,428,360,323,
088,603,716,885,776,605,115,798,604,006,573,227,235,026,983,300,278,377,976,
106,613,708,739,380,075,979,997,224,310,902,903,913,836,925,319,627,226,259,
717,231,834,228,862,301,022,591,669,649,771,615,477,360,329,451,082,953,103,
063,484,205,967,145,765,310,616,075,664,160,266,388,260,729,932,218,820,249,
620,105,558,278,983,685,699,519,586,900,854,029,787,405,269,974,121,284,002,
678,581,270,202,702,464,294,200,540,603,178,635,270,056,185,568,254,346,122,
819,272,896,343,190,412,763,639,277,189,238,285,591,919,595,714,733,489,066,
711,491,871,167,003,517,209,686,657,685,916,210,918,305,679,595,558,405,135,
763,180,063,276,967,554,312,447,339,489,161,655,722,610,304,015,388,489,580,
753,707,976,876,197,114,156,311,082,672,458,488,803,057,900,782,433,786,977,
326,170,848,904,190,781,687,421,943,763,289,311,413,425,623,043,627,250,738,
040,251,388,245,570,867,501,452,872,701,569,380,961,734,987,389,422,947,413,
767,842,779,022,981,208,196,328,336,415,647,262,073,557,534,442,255,131,090,
733,984,500,609,600,224,706,760,990,526,738,473,685,294,567,089,104,204,007,
986,607,224,046,691,779,204,741,618,772,087,637,369,979,393,382,122,011,152,
219,602,681,321,825,927,640,105,878,477,331,265,751,085,702,204,158,812,924,
685,265,134,320,281,785,242,568,533,228,995,206,979,426,676,587,680,810,013,
350,546,303,094,207,833,864,072,846,818,768,546,961,426,783,194,871,616,179,
812,133,216,730,037,254,588,543,179,175,097,938,782,882,111,235,586,126,409,
580,564,735,237,534,331,137,906,439,789,215,154,922,720,875,307,327,227,224,
734,197,996,447,777,245,534,024,393,647,953,785,750,861,247,539,540,508,968,
037,092,801,466,363,571,234,179,675,000,055,073,027,631,387,247,701,397,243,
383,641,976,782,169,704,432,848,349,095,610,459,720,704,227,028,478,986,489,
077,742,982,599,340,505,465,729,494,354,142,396,765,527,413,512,926,216,990,
393,603,215,600,857,765,388,786,671,027,166,367,827,579,422,748,015,847,058,
840,873,106,668,070,676,944,703,400,628,325,981,513,057,395,503,639,610,965,
343,805,412,970,550,396,092,654,585,609,502,967,397,055,011,182,468,688,157,
101,608,481,371,475,740,837,558,625,301,920,895,002,551,134,398,075,574,005,
298,003,828,575,178,089,082,803,449,145,670,447,081,452,862,560,437,985,609,
251,227,161,935,098,235,907,023,234,527,206,641,933,732,644,149,544,686,677,
152,298,717,222,646,621,260,055,378,141,373,784,719,074,110,462,514,393,222,
475,610,569,445,121,613,177,248,619,953,079,887,826,376,716,165,638,390,144,
819,434,772,948,499,126,106,314,302,352,357,415,930,659,676,122,125,431,480,
128,871,448,112,096,751,954,584,733,467,589,102,472,829,195,400,364,452,728,
816,961,184,612,451,107,665,617,404,665,870,365,301,183,246,090,860,579,645,
071,745,527,658,881,008,138,809,285,621,781,246,019,635,624,533,692,691,127,
884,878,420,349,292,477,679,867,500,501,502,496,684,638,145,681,440,428,562,
447,679,674,947,279,963,648,406,294,266,290,836,621,928,774,914,814,801,347,
680,564,404,232,414,361,793,091,499,769,280,954,601,356,771,122,431,334,556,
045,652,146,716,800,861,235,171,083,676,834,478,985,440,132,404,874,663,377,
296,320,574,578,930,682,713,874,857,006,816,170,667,265,994,591,776,794,878,
985,931,752,934,387,838,843,063,004,811,503,376,686,590,761,867,135,385,061,
982,728,483,214,958,967,517,299,321,626,420,831,399,085,244,715,246,357,166,
416,844,391,207,455,517,709,776,826,202,724,779,400,092,176,166,066,075,555,
315,777,137,781,602,896,009,632,905,985,392,069,110,583,676,060,737,444,010,
531,523,706,136,098,510,947,912,371,830,071,567,703,250,631,974,723,856,047,
631,014,453,511,605,614,198,730,213,299,975,642,076,301,979,725,510,290,074,
683,475,578,659,661,576,252,459,386,084,025,425,158,729,950,948,249,312,628,
633,288,001,068,115,876,183,776,292,910,385,685,456,320,636,203,005,995,763,
324,403,956,539,460,808,890,321,291,779,966,155,556,122,883,733,435,719,813,
007,369,248,212,058,704,932,924,613,851,979,228,806,842,104,703,517,594,665,
847,328,677,336,815,215,860,873,643,961,295,175,995,123,859,228,604,153,201,
552,995,000,919,475,940,951,554,607,365,275,050,619,642,969,442,020,496,869,
525,791,473,545,703,076,447,298,852,454,075,949,432,297,230,886,725,657,792,
342,062,131,747,184,218,798,671,116,034,164,051,422,316,230,816,516,469,138,
979,124,673,910,581,282,622,493,580,863,669,059,193,140,430,132,835,506,902,
198,138,050,659,629,780,834,010,419,750,210,799,741,739,895,469,534,303,194,
103,904,689,039,380,673,064,767,180,477,705,713,858,245,680,167,962,856,290,
552,049,236,511,126,556,800,098,153,535,316,414,884,491,402,045,499,324,332,
776,505,578,169,697,408,392,089,727,112,473,414,049,598,548,491,003,066,383,
929,661,303,816,882,655,575,609,288,648,991,965,103,667,392,943,607,823,848,
467,760,324,745,817,104,487,727,800,243,923,719,056,232,488,267,798,568,601,
178,198,469,043,128,633,303,258,673,189,260,635,844,291,346,505,503,573,652,
309,691,146,075,872,119,912,432,335,359,788,752,366,063,999,016,568,163,210,
870,999,391,368,385,441,980,505,911,755,156,437,030,928,490,135,326,647,659,
109,609,957,257,088,923,669,298,155,210,491,219,576,493,642,468,484,358,888,
935,255,123,360,036,070,205,843,473,294,411,879,399,305,000,958,049,177,236,
554,975,379,467,347,913,350,644,352,857,713,545,275,537,978,158,905,050,167,
133,828,821,029,349,056,616,826,731,841,319,443,073,469,260,137,390,015,757,
196,342,956,047,666,235,247,682,796,680,405,425,056,628,663,293,962,820,937,
434,362,824,574,597,002,913,558,559,275,675,855,488,401,817,067,622,107,405,
917,052,654,526,928,986,019,513,331,840,053,610,576,266,314,035,053,928,055,
369,501,484,367,047,475,892,450,418,597,348,488,766,758,742,753,304,612,307,
675,551,972,124,483,397,884,036,210,283,691,448,573,744,538,272,166,464,735,
525,362,014,172,081,323,233,836,134,483,423,566,377,717,685,983,974,650,545,
064,893,424,535,451,399,315,415,941,973,753,904,507,551,811,189,203,293,340,
479,697,716,386,805,306,407,694,613,797,969,509,233,419,864,904,115,277,549,
737,789,620,051,991,135,696,733,247,280,201,020,875,576,042,335,145,968,806,
840,461,077,418,314,785,345,923,767,610,868,243,583,211,957,527,269,965,851,
225,360,890,617,554,411,609,628,029,491,491,124,280,127,326,464,078,273,905,
846,009,275,921,718,213,189,634,983,247,563,578,347,631,798,416,566,105,226,
571,608,139,203,432,787,509,765,660,521,604,454,698,876,741,656,401,548,631,
195,451,747,542,534,091,913,162,793,084,107,554,674,414,334,763,259,642,228,
625,874,520,438,256,141,743,356,253,748,106,032,624,553,112,201,635,653,940,
215,539,591,811,476,501,593,831,469,842,098,661,935,384,026,304,466,563,703,
075,190,421,868,935,077,928,500,333,177,731,812,409,104,897,493,237,574,630,
635,148,312,637,387,528,104,588,245,479,339,723,292,027,968,347,936,545,659,
950,591,125,238,781,458,982,132,541,516,390,579,141,125,192,702,596,729,586,
683,365,142,437,521,583,735,402,723,751,033,032,273,967,851,038,212,153,202,
416,768,724,688,421,987,777,230,268,565,356,722,685,091,765,472,689,847,282,
381,762,952,407,284,976,336,863,335,491,725,658,840,006,583,056,688,335,106,
289,063,011,334,937,357,617,025,300,030,736,577,782,706,648,613,729,198,124,
989,879,979,572,254,495,686,871,877,622,858,719,069,724,049,435,480,958,911,
785,837,581,096,182,947,496,049,850,728,344,939,362,695,314,009,728,670,307,
243,382,451,232,846,430,613,413,163,578,093,895,365,343,870,912,304,239,021,
089,548,276,103,345,238,852,053,143,998,527,421,483,926,009,233,325,611,816,
170,222,919,085,500,812,387,230,244,122,950,202,940,091,416,823,542,776,930,
794,737,993,707,742,780,083,356,252,008,494,227,900,619,092,092,422,860,539,
332,176,178,183,007,967,502,397,769,758,842,480,423,873,677,133,448,916,668,
472,255,032,294,061,273,060,915,755,807,693,225,610,948,906,162,819,943,342,
999,864,656,264,116,863,759,125,479,120,489,793,078,681,826,517,302,375,396,
431,739,276,679,671,434,200,865,147,892,477,849,279,539,147,282,753,367,020,
822,319,140,149,320,885,350,894,574,546,941,236,969,565,798,855,604,157,033,
803,607,070,961,661,835,100,131,978,986,650,652,573,334,684,470,728,230,332,
712,219,269,919,796,714,184,085,782,533,134,903,103,258,203,080,614,672,085,
338,545,562,872,719,944,250,112,752,223,815,463,208,892,480,720,530,049,199,
729,095,213,992,374,844,717,378,675,808,268,566,349,909,586,412,414,760,262,
735,147,554,680,351,477,215,975,504,806,421,584,566,193,867,110,754,438,925,
025,535,737,126,171,827,238,539,255,143,616,697,486,442,708,453,869,665,824,
497,577,880,385,562,650,897,102,917,236,095,088,260,095,945,068,743,884,439,
485,280,390,490,978,065,425,042,911,433,703,186,880,475,182,945,915,652,954,
377,699,739,517,890,016,130,849,540,188,832,438,364,125,092,554,322,534,080,
497,275,020,111,121,369,942,980,716,531,317,985,997,765,298,210,445,280,980,
583,221,114,598,534,936,731,559,587,080,162,061,903,749,215,959,163,308,940,
241,265,939,883,189,758,407,526,270,977,689,926,985,582,117,288,870,284,130,
760,573,532,821,843,270,903,340,379,728,254,408,609,509,268,076,583,059,715,
555,834,787,836,555,210,559,252,745,680,685,493,732,216,798,781,918,864,573,
943,065,724,375,902,520,743,759,913,999,002,945,779,446,098,604,721,219,548,
302,584,400,943,157,157,239,929,390,778,488,243,790,446,904,754,038,271,291,
053,126,879,137,851,919,643,720,045,317,950,666,591,575,321,057,214,887,646,
546,223,859,050,710,791,166,205,926,214,555,524,042,707,402,724,991,461,032,
896,060,070,769,509,132,242,588,345,079,466,205,706,095,238,412,113,773,604,
621,189,848,971,340,285,878,133,515,451,877,406,063,525,172,740,343,420,235,
931,712,330,391,525,321,262,774,451,268,734,653,542,330,591,703,697,579,407,
815,489,875,002,187,068,592,077,906,573,810,249,493,948,544,108,820,054,213,
051,616,263,978,314,066,912,584,604,277,530,243,976,443,901,437,961,237,825,
960,256,521,787,796,333,082,374,628,967,225,903,016,561,101,554,567,561,682,
649,583,070,403,346,798,164,586,983,621,778,017,978,063,971,068,916,974,623,
849,302,907,405,535,139,300,309,805,479,949,053,031,716,948,111,593,597,501,
869,570,665,529,579,159,904,484,273,908,072,305,431,776,986,444,305,322,714,
192,620,350,763,189,250,066,560,142,065,521,951,667,599,535,240,507,560,078,
051,358,759,305,606,653,856,561,851,561,349,936,908,137,154,978,877,786,137,
153,321,566,302,522,701,038,694,846,730,113,648,018,223,655,384,515,873,232,
956,787,622,290,096,596,299,850,946,181,444,029,554,418,878,032,359,767,061,
634,859,002,343,552,507,087,669,972,642,102,499,144,168,527,509,381,438,877,
335,993,273,200,144,860,000,690,585,398,782,740,718,232,764,393,048,036,904,
609,286,667,480,141,423,563,984,005,546,754,151,803,922,438,216,894,061,817,
951,204,508,034,385,189,488,840,914,711,472,723,176,650,126,129,903,413,128,
028,859,616,704,517,516,988,920,347,938,946,623,692,526,655,507,960,539,439,
658,954,589,153,916,765,916,742,930,195,333,587,206,401,057,800,296,449,324,
567,647,701,064,808,592,979,654,519,934,693,095,003,056,964,661,855,609,688,
227,911,413,730,432,489,231,131,816,808,061,085,113,606,618,883,614,682,801,
491,461,759,566,950,843,226,329,254,202,372,924,718,247,618,082,245,626,761,
913,778,048,270,230,732,941,727,902,236,623,636,687,934,139,211,693,275,135,
271,137,351,371,617,082,350,342,931,752,582,073,495,388,728,802,553,317,710,
093,823,459,325,357,200,582,440,489,044,849,409,650,547,608,189,775,735,158,
306,515,587,215,305,645,907,907,873,157,343,648,246,804,694,786,756,704,621,
737,404,940,580,958,585,298,155,017,980,464,527,149,407,850,404,715,109,981,
154,767,909,541,120,481,072,667,160,723,644,362,519,672,928,304,771,610,079,
730,228,449,070,010,534,679,480,653,557,854,648,012,181,047,193,353,161,558,
129,460,712,841,435,880,647,243,075,485,658,090,990,790,842,436,204,182,415,
125,007,661,337,680,279,547,857,286,162,423,644,005,968,059,135,278,735,238,
496,279,706,260,870,586,108,592,317,028,896,579,147,290,830,989,511,361,416,
763,866,813,086,007,446,309,430,669,592,418,590,928,919,875,279,910,471,573,
953,174,075,334,014,313,865,521,359,789,785,832,290,292,983,784,486,082,045,
133,985,945,351,236,495,248,383,432,856,113,441,255,325,017,754,246,019,125,
311,268,675,789,540,044,943,270,627,494,393,125,165,133,550,952,676,581,001,
316,246,603,771,801,009,540,324,908,563,747,659,569,326,197,254,293,824,840,
844,077,582,973,729,900,942,786,457,556,898,639,953,806,929,918,853,154,820,
906,438,259,984,512,362,194,982,099,178,951,946,432,281,359,758,823,350,014,
318,050,853,556,899,501,325,667,063,043,228,102,230,134,545,714,357,632,594,
205,705,566,026,018,812,556,109,326,746,781,921,234,764,592,422,203,380,972,
552,005,129,254,294,485,739,940,181,519,217,652,827,862,022,917,138,797,344,
946,826,514,634,560,513,242,955,205,493,609,191,310,324,086,432,747,072,972,
759,217,315,255,930,385,477,773,622,193,992,950,632,993,740,741,114,659,626,
347,181,065,023,023,155,275,278,575,903,975,928,915,590,662,179,743,076,396,
471,405,938,614,060,252,336,115,544,331,733,832,408,568,302,622,455,873,480,
287,494,495,373,440,283,924,400,915,884,024,603,159,533,526,945,587,876,085,
294,169,777,935,641,974,102,963,340,704,590,226,090,615,510,549,569,698,179,
391,344,985,443,932,165,982,970,811,229,566,591,167,188,594,098,433,579,606,
348,958,245,209,292,617,131,356,837,271,218,079,135,271,209,159,435,720,646,
434,836,921,590,351,999,953,245,856,405,905,664,233,641,900,923,420,355,882,
975,631,343,239,840,860,250,294,035,902,240,033,153,347,497,882,957,786,998,
096,020,275,006,108,412,578,007,136,196,945,996,029,540,080,448,233,466,876,
706,675,225,355,145,293,993,087,690,134,491,304,159,995,790,584,735,961,053,
594,955,460,268,520,453,184,455,994,054,735,282,664,175,590,039,083,125,528,
066,580,074,054,401,395,490,119,028,500,046,355,097,209,187,801,095,025,229,
428,029,493,426,672,865,195,371,123,926,802,043,231,324,694,653,614,893,407,
785,088,254,274,180,531,937,578,173,799,225,409,676,020,347,207,964,105,688,
445,832,973,162,974,352,202,148,353,181,572,369,093,621,445,103,644,206,465,
054,865,159,855,348,297,740,851,150,071,981,675,036,036,221,027,487,452,613,
894,893,134,323,160,735,971,639,437,389,467,815,036,882,706,221,176,523,047,
142,081,558,494,377,310,883,146,119,254,728,541,026,656,895,455,136,779,048,
325,009,138,268,817,268,047,491,589,226,515,990,712,576,413,531,820,492,331,
323,322,557,534,921,627,138,043,594,905,303,482,681,029,430,026,871,897,285,
466,678,924,546,712,531,387,087,596,419,455,877,158,736,492,127,094,859,435,
352,237,700,778,618,622,683,521,566,195,893,734,393,813,374,667,852,625,687,
852,125,684,784,480,075,165,862,737,728,115,761,182,765,531,488,014,481,312,
041,885,587,020,666,560,948,693,629,350,195,593,355,829,043,159,483,782,133,
090,347,585,507,035,622,168,792,964,444,011,924,089,109,442,662,607,846,830,
826,088,696,967,324,878,786,614,243,973,988,061,955,184,351,972,062,806,029,
317,498,159,852,249,414,450,707,798,941,510,978,511,255,216,078,309,860,003,
658,808,556,026,119,297,977,965,067,913,996,323,189,587,984,671,759,057,734,
427,326,309,787,733,965,140,337,285,342,585,031,085,216,696,953,131,336,729,
551,565,625,470,572,225,839,053,803,929,672,261,839,559,069,351,503,096,856,
603,304,760,630,785,255,871,358,360,898,656,908,280,987,921,353,752,930,718,
626,949,831,250,539,258,461,716,569,849,116,731,104,458,931,358,588,600,239,
098,188,388,954,387,145,858,682,841,927,410,347,996,803,663,378,334,484,775,
213,786,345,304,624,111,834,951,027,393,424,449,221,541,880,178,447,831,221,
198,529,720,761,105,551,074,750,860,417,781,878,679,827,062,969,906,423,646,
061,498,329,343,727,183,351,179,875,317,826,825,024,711,343,581,002,948,604,
491,633,562,335,407,038,332,805,402,556,210,267,487,274,709,917,846,529,220,
000,333,620,110,177,305,881,173,186,188,625,194,836,325,993,185,586,437,127,
172,592,787,214,585,595,743,434,484,559,275,770,637,192,293,490,050,331,913,
471,689,486,599,363,007,917,684,468,499,258,877,539,097,427,522,742,610,230,
627,714,906,309,981,576,095,994,065,041,126,594,984,636,215,705,712,433,371,
352,826,827,090,990,498,527,490,151,652,052,432,465,161,853,673,867,787,560,
193,417,896,152,688,662,066,342,691,943,377,905,647,785,113,989,473,083,165,
151,393,326,803,794,598,971,556,454,041,455,727,472,780,679,313,515,206,979,
612,172,694,562,353,253,014,483,064,339,202,328,053,644,043,561,175,536,598,
067,567,112,443,280,943,042,793,564,960,828,285,543,746,669,300,644,838,251,
433,604,124,965,529,451,811,667,589,811,975,059,377,102,781,235,804,819,253,
437,312,925,685,479,015,848,635,690,123,896,731,714,960,980,542,638,424,961,
033,651,819,188,903,995,887,955,374,357,474,283,961,286,239,260,485,257,032,
705,301,308,233,352,872,387,585,433,331,469,634,819,096,582,173,343,376,110,
384,327,075,173,131,764,554,948,626,719,519,854,965,343,841,954,580,041,262,
295,417,718,158,458,872,966,251,773,932,911,723,708,884,558,076,112,970,740,
445,580,067,962,168,728,615,033,624,701,785,931,206,070,593,939,609,708,919,
006,682,283,448,251,669,361,970,404,092,216,055,189,376,136,555,917,115,740,
080,303,141,297,617,685,252,583,926,564,401,627,502,092,195,626,433,764,455,
481,197,710,383,497,838,566,200,400,469,578,173,126,679,681,926,994,685,362,
500,571,319,210,101,675,396,934,055,640,595,094,080,661,345,351,373,242,410,
037,468,285,726,087,500,871,669,785,706,274,778,816,768,153,534,402,365,251,
903,484,321,294,219,465,087,285,663,227,131,899,707,355,243,434,635,030,665,
862,632,196,661,372,909,018,459,372,896,068,996,305,471,501,067,186,576,616,
345,818,328,705,688,850,802,382,699,975,156,576,423,820,126,398,734,017,695,
582,020,721,738,105,013,534,668,129,126,132,113,364,415,849,310,798,256,270,
189,279,155,206,546,664,713,116,136,968,911,902,208,756,103,892,648,398,022,
070,373,454,017,342,305,236,465,405,310,413,768,058,208,357,481,248,086,319,
229,746,935,250,611,140,912,190,705,479,721,588,961,510,220,398,102,362,517,
184,400,045,894,576,980,803,632,986,390,254,037,977,887,826,975,711,876,659,
664,189,477,617,611,515,565,332,406,659,352,850,218,408,337,277,958,282,673,
547,699,023,636,921,768,878,004,140,841,895,149,358,185,878,572,081,067,159,
217,797,687,857,523,152,471,718,904,512,642,755,212,338,801,814,110,332,523,
877,239,516,206,784,633,534,050,720,243,577,873,678,138,446,202,331,180,170,
707,628,895,017,683,449,099,257,380,684,308,733,210,336,425,123,159,813,236,
422,318,618,753,282,075,805,525,340,732,404,623,641,880,384,177,050,501,481,
347,730,323,444,746,549,399,203,440,130,355,197,117,093,824,293,365,876,588,
342,924,520,693,550,722,609,027,262,665,761,283,256,501,422,614,961,741,296,
107,886,424,629,890,181,370,545,225,326,867,417,996,499,076,027,362,547,286,
830,618,337,551,983,438,981,869,055,877,487,816,718,986,569,964,759,597,738,
155,136,304,415,298,195,906,153,945,018,751,715,920,574,024,269,038,391,015,
883,186,179,626,556,865,983,200,837,867,437,148,651,238,739,441,405,732,919,
424,694,985,696,367,240,668,535,841,714,838,085,864,500,633,355,346,293,664,
772,510,299,169,505,788,709,976,905,897,092,460,949,982,284,996,208,257,108,
856,721,557,066,619,387,229,671,350,162,803,343,426,377,752,529,686,802,489,
294,920,164,824,837,141,664,252,047,257,140,499,380,186,390,043,136,502,404,
783,533,904,995,497,425,309,769,499,575,298,929,248,628,004,328,312,181,235,
089,636,871,011,999,896,488,017,241,855,524,244,104,682,730,472,910,451,193,
473,258,230,059,307,838,600,320,011,924,042,484,792,603,938,599,022,259,525,
579,746,603,917,596,712,696,671,237,159,087,834,510,716,062,723,472,567,570,
119,008,322,374,711,459,604,452,951,732,302,462,245,094,369,472,104,354,408,
096,188,815,755,417,034,147,549,186,111,144,951,078,394,003,470,878,284,161,
797,440,720,050,190,772,855,180,445,988,894,523,428,305,503,596,110,285,177,
386,435,578,499,881,118,294,508,141,020,961,708,352,597,821,475,594,755,204,
367,829,794,492,807,250,606,644,442,034,487,777,533,366,867,546,381,510,252,
612,023,506,929,859,805,469,039,383,570,720,331,167,530,911,534,723,996,837,
683,571,478,032,297,163,719,152,689,322,146,498,013,972,018,029,348,657,057,
348,334,774,675,013,104,569,894,430,759,771,881,211,946,728,550,245,887,550,
353,249,733,432,816,999,674,549,825,518,038,376,053,546,696,071,152,765,348,
686,018,472,469,400,341,358,889,104,952,057,879,782,789,455,754,096,110,231,
976,060,017,445,141,777,208,284,251,596,057,548,158,113,137,744,907,609,877,
272,781,017,673,790,302,003,904,680,399,837,616,095,175,870,702,616,995,110,
044,143,984,794,207,851,300,901,268,702,568,762,685,266,112,655,100,024,067,
276,551,096,702,087,799,800,392,803,781,891,256,333,688,623,252,011,950,425,
884,731,452,343,196,757,102,022,110,074,278,772,638,851,753,431,355,244,226,
505,716,857,120,378,324,840,707,409,487,398,843,710,528,949,920,904,752,732,
466,388,752,272,610,827,225,006,758,903,343,023,557,395,188,446,250,977,543,
416,915,088,946,137,402,305,642,521,642,382,262,310,912,471,282,243,991,171,
449,531,938,347,769,519,801,671,354,108,468,941,364,997,498,372,285,727,758,
145,909,973,986,060,667,888,441,749,409,341,499,567,549,225,708,184,371,430,
959,696,299,487,513,738,227,067,452,113,766,851,330,455,146,884,058,737,818,
533,455,472,723,287,356,614,145,036,163,635,666,214,759,964,128,489,202,585,
268,976,170,659,758,308,223,064,362,882,454,916,350,716,391,085,489,410,808,
484,218,422,890,259,731,688,607,526,373,487,725,913,470,297,706,530,084,975,
752,909,782,808,975,099,673,741,499,356,251,778,332,640,539,322,801,091,306,
653,122,425,201,416,987,361,853,554,798,178,800,753,097,817,034,368,271,455,
752,744,119,530,766,127,367,110,514,466,216,429,795,092,716,270,279,634,701,
871,680,521,395,393,257,893,642,381,633,626,558,068,861,566,135,528,411,891,
039,085,097,112,694,149,285,218,855,805,763,339,035,321,517,299,776,678,814,
634,160,006,260,594,722,813,278,350,225,260,100,899,477,394,691,898,496,124,
024,701,898,401,052,341,740,305,097,070,164,734,326,586,147,072,850,793,946,
431,714,753,074,626,891,602,553,234,174,556,945,492,370,266,413,982,847,735,
539,282,696,357,683,359,337,001,551,516,524,714,580,370,122,725,272,277,109,
869,368,224,562,325,721,065,271,345,896,866,636,957,495,629,432,840,264,328,
994,534,258,964,797,527,002,937,237,451,911,137,805,691,552,235,949,009,169,
256,873,614,392,921,392,300,901,544,660,168,652,106,470,394,866,981,487,622,
867,448,334,725,477,666,239,013,183,702,038,735,751,980,500,988,849,019,826,
113,488,965,221,924,131,654,718,520,925,875,374,346,766,440,499,199,094,949,
129,762,361,073,081,546,990,558,570,011,898,555,289,613,758,729,009,072,576,
529,518,530,179,462,004,956,911,296,579,589,383,558,574,847,387,211,110,997,
591,909,452,582,868,911,580,769,612,554,386,515,538,084,620,686,062,122,742,
791,313,816,412,305,802,677,328,858,518,304,082,700,959,463,112,131,381,146,
070,891,133,809,055,561,244,956,357,465,831,701,292,600,561,946,556,462,618,
318,825,584,539,043,674,033,439,969,262,151,946,783,074,363,294,077,790,656,
609,208,175,349,441,612,468,614,043,910,256,755,560,548,725,263,118,772,990,
629,950,805,809,729,781,188,805,368,111,628,353,132,405,219,310,215,487,178,
702,279,466,084,283,862,074,966,178,358,614,021,069,463,084,114,110,560,881,
824,955,613,126,822,235,532,382,633,165,990,875,095,962,482,301,994,432,648,
719,120,961,479,298,622,040,385,626,231,303,004,030,958,835,419,531,579,197,
031,996,388,170,615,323,518,475,398,590,003,287,442,944,887,804,112,343,250,
316,751,005,496,902,565,580,771,065,568,464,905,295,931,818,934,780,141,038,
244,679,834,948,066,337,588,531,623,590,017,721,559,760,352,144,853,377,630,
556,612,954,750,840,447,901,794,594,294,315,093,788,878,580,144,081,263,015,
139,686,787,837,310,173,879,679,978,144,868,911,262,764,043,293,119,474,971,
360,588,222,891,617,377,440,584,236,628,837,806,545,424,691,647,978,546,722,
448,468,749,374,417,194,881,854,327,240,675,982,322,600,604,108,457,249,363,
082,857,909,137,821,689,723,097,488,995,425,364,889,881,277,583,204,224,403,
693,066,625,398,548,128,492,256,994,261,001,401,810,750,364,153,175,999,567,
933,027,265,527,703,724,860,067,419,617,339,359,584,800,624,262,904,589,489,
644,654,136,433,662,906,499,576,486,559,279,704,599,915,945,819,310,479,516,
525,643,738,105,860,954,457,864,279,609,292,499,659,404,881,336,197,362,822,
032,135,021,956,345,641,046,866,759,271,312,625,012,642,638,683,287,161,200,
790,485,526,761,899,959,008,697,716,390,894,837,481,752,070,686,994,314,865,
904,033,595,918,214,705,132,124,858,957,574,945,621,443,647,557,507,863,987,
758,191,374,306,688,718,379,466,764,255,984,794,142,639,589,197,286,062,681,
403,899,874,606,879,503,982,038,353,061,862,957,149,893,102,380,287,810,337,
391,866,447,359,547,717,836,030,288,030,376,922,601,012,206,965,000,318,648,
313,412,824,637,261,103,088,850,211,958,053,484,585,483,819,473,382,795,976,
859,398,397,387,164,533,590,465,611,156,044,744,138,336,259,852,237,132,188,
028,296,140,248,754,925,338,881,405,972,792,462,341,461,604,976,204,497,077,
706,090,840,709,337,497,128,526,839,456,733,599,511,516,643,475,341,806,269,
998,180,925,443,168,480,462,633,033,824,895,241,371,801,362,916,153,270,814,
513,981,264,061,656,823,604,316,225,296,079,170,961,198,782,371,393,669,229,
810,943,530,295,927,090,955,011,290,867,756,110,815,533,743,557,803,816,299,
673,388,763,470,801,110,461,471,235,486,686,500,538,441,525,342,346,152,297,
091,097,837,579,166,141,150,483,702,339,184,246,654,731,447,504,259,616,398,
506,741,366,254,880,405,780,338,529,529,841,118,566,921,615,228,443,223,716,
874,206,816,802,842,142,673,255,612,386,526,750,011,866,868,577,628,489,211,
146,707,988,969,242,634,603,084,475,796,962,493,068,064,573,328,431,048,167,
831,008,362,273,387,823,161,924,947,605,377,863,592,896,013,946,616,699,216,
992,139,800,021,611,786,412,071,653,002,408,288,779,202,580,257,211,993,627,
640,193,007,729,354,341,160,253,103,875,759,109,221,131,441,078,743,791,666,
225,823,191,870,502,604,689,097,340,026,089,129,377,331,485,036,611,874,995,
506,182,615,279,145,787,230,059,139,052,271,268,564,018,942,694,308,879,667,
582,376,189,491,622,675,689,014,656,525,222,727,392,400,405,641,791,577,501,
644,792,691,748,044,900,018,378,462,500,260,569,133,597,446,418,206,883,460,
183,728,363,388,427,439,474,699,839,133,701,263,776,527,233,941,472,792,076,
213,359,732,027,462,633,552,669,896,752,345,945,510,587,706,971,219,359,304,
683,911,491,539,305,112,653,459,844,068,165,717,894,165,208,347,173,222,087,
893,751,699,203,842,919,327,352,717,166,459,820,030,071,652,265,704,859,808,
499,145,408,447,242,349,021,299,938,773,332,081,025,670,620,127,046,328,479,
630,870,222,686,900,734,947,950,098,543,228,973,725,954,661,883,219,031,547,
154,643,587,797,974,909,794,062,239,546,146,393,198,414,400,776,182,619,445,
808,395,546,329,901,299,156,579,865,619,640,503,349,573,597,636,158,455,951,
650,055,579,794,408,120,475,454,678,252,050,781,812,124,128,873,496,180,821,
601,269,138,274,485,570,441,149,092,368,733,021,866,258,903,682,247,316,653,
532,884,600,924,543,991,057,618,656,348,101,503,014,438,790,345,771,673,666,
164,015,558,027,549,330,122,797,250,984,684,789,034,285,924,369,498,596,291,
182,162,677,102,884,537,230,286,000,653,516,406,052,936,635,131,683,735,736,
664,261,396,789,572,468,948,010,289,807,077,817,572,379,141,588,681,400,116,
705,925,600,678,247,062,041,992,640,245,024,245,295,234,859,329,457,970,495,
516,856,212,752,937,619,114,429,982,538,777,472,474,610,686,661,492,482,858,
095,536,792,171,440,672,475,900,666,122,302,716,296,563,409,884,855,382,618,
808,562,422,214,839,290,604,435,511,796,994,876,881,466,523,649,342,879,674,
362,815,393,282,273,326,674,362,171,812,868,127,948,067,855,636,880,015,814,
296,128,050,005,395,506,382,150,968,349,658,205,706,158,508,385,429,107,185,
577,737,137,741,942,911,761,288,295,490,197,078,809,931,904,570,418,067,203,
686,703,372,125,531,552,415,006,597,032,969,463,146,846,256,188,388,756,617,
578,811,541,647,836,978,984,395,813,026,352,707,798,030,380,816,778,423,770,
276,239,697,653,768,219,167,765,338,675,356,276,823,418,621,044,358,133,092,
297,034,490,104,407,760,817,132,989,701,898,313,200,227,468,447,591,855,699,
936,756,427,563,615,052,110,409,395,050,666,892,940,182,424,756,420,025,871,
922,983,194,628,485,513,691,967,487,035,580,027,425,039,838,285,565,254,147,
766,036,121,450,901,707,036,876,737,888,309,462,106,449,659,677,395,326,690,
382,754,164,494,666,228,353,204,447,673,399,290,715,210,206,378,715,167,725,
675,503,706,591,670,031,582,478,447,439,945,736,765,528,661,501,757,738,158,
169,961,163,312,162,034,682,884,363,474,336,607,226,709,886,494,075,835,920,
815,344,168,778,048,715,686,274,685,108,580,401,033,156,689,899,577,402,160,
849,307,210,404,578,435,224,069,791,843,633,680,963,007,165,634,247,744,811,
965,907,097,076,305,122,791,226,963,221,410,705,447,017,780,859,087,759,084,
853,709,695,858,591,443,341,046,044,759,449,297,312,133,460,442,967,516,508,
807,290,687,528,422,799,289,551,717,148,047,907,379,581,582,688,359,023,871,
622,151,334,592,315,186,444,032,746,396,251,535,215,504,798,012,672,423,106,
495,051,650,544,519,825,151,549,571,971,052,448,089,683,487,372,912,067,346,
447,426,709,864,068,048,767,006,243,826,204,785,359,335,756,718,081,396,323,
388,254,805,872,365,472,306,539,873,573,304,790,711,802,155,319,965,591,895,
890,080,936,010,768,854,348,838,995,180,810,146,242,293,864,721,965,707,791,
549,028,580,541,849,075,319,908,268,008,944,982,206,363,490,600,131,867,231,
163,186,743,764,771,408,404,437,258,830,766,382,851,687,505,906,654,290,177,
598,775,029,571,546,711,605,599,450,078,231,540,579,902,463,750,847,680,339,
750,694,831,900,530,022,112,892,981,659,814,458,143,573,118,241,711,223,339,
050,868,628,572,567,942,168,701,126,541,803,941,505,902,264,879,853,123,557,
805,107,041,833,707,966,517,646,630,075,578,491,415,813,515,772,591,358,065,
437,747,409,045,847,643,836,584,500,969,056,863,749,608,005,887,912,430,796,
941,216,756,195,681,773,318,791,512,208,639,531,483,293,587,192,108,999,399,
354,853,246,444,763,399,368,015,668,829,761,093,297,547,896,548,818,263,786,
936,201,407,640,446,774,335,535,919,298,871,935,444,158,056,735,472,181,824,
610,459,806,160,841,018,304,337,829,265,944,375,205,439,342,499,079,426,954,
927,961,439,415,524,005,120,277,997,948,279,268,330,754,580,246,715,505,749,
992,767,567,345,653,621,115,097,703,180,949,940,236,302,718,644,132,595,167,
545,186,990,602,538,081,219,443,045,318,284,425,772,182,653,043,818,628,556,
262,661,789,782,426,972,143,537,129,178,668,476,378,489,196,050,952,986,298,
176,371,507,513,030,152,876,627,625,126,415,458,595,255,946,341,187,601,263,
745,294,697,302,942,527,574,514,371,678,482,781,820,250,780,145,411,114,532,
924,270,313,847,307,650,956,868,450,382,026,485,364,539,781,986,982,892,377,
319,502,208,271,984,210,510,685,259,439,412,638,117,249,790,567,003,503,433,
384,895,795,020,653,601,212,765,953,566,862,291,349,652,911,304,386,286,341,
833,717,280,425,705,209,683,882,513,413,294,797,884,079,555,500,065,806,180,
324,135,608,030,568,361,742,807,156,402,553,591,667,068,267,734,800,563,562,
998,736,224,986,654,008,990,624,155,303,220,784,595,580,546,196,503,584,308,
493,005,078,972,683,935,210,259,151,811,680,268,219,001,371,482,663,820,815,
948,580,428,806,399,895,691,214,327,918,895,159,631,983,701,382,845,395,417,
067,298,037,073,515,432,006,642,452,005,216,326,839,411,376,509,135,762,987,
964,192,449,233,345,676,962,985,033,792,097,066,054,908,548,742,310,975,167,
146,242,639,728,760,968,417,159,516,917,048,701,419,222,967,956,490,908,649,
129,769,907,199,102,366,796,237,430,684,619,368,296,819,038,971,211,085,432,
820,100,075,797,178,724,627,280,039,045,325,518,290,287,586,762,225,965,085,
312,147,637,145,953,803,108,971,876,833,461,227,208,533,241,280,846,182,762,
889,848,011,220,265,886,496,725,576,114,034,882,766,619,436,464,163,497,650,
143,748,367,969,989,891,624,930,420,500,949,623,868,230,901,418,702,864,567,
620,729,864,027,376,984,298,891,572,269,598,051,543,011,464,921,267,942,542,
982,536,704,792,734,259,046,407,241,314,382,837,527,964,380,098,332,152,820,
962,572,864,896,052,242,414,234,250,992,856,958,174,925,667,463,750,472,000,
478,330,355,257,725,318,269,737,416,057,365,664,873,144,004,438,247,485,881,
756,962,181,410,229,861,227,471,853,806,529,178,947,353,988,997,277,355,605,
163,224,887,949,381,164,635,266,900,038,575,989,635,316,706,510,804,059,513,
411,839,161,875,809,617,082,303,876,909,944,251,399,766,681,781,686,965,473,
458,210,039,128,644,208,931,931,004,036,171,637,219,047,781,098,831,091,587,
779,760,683,034,674,258,061,011,835,200,761,810,364,090,125,700,446,861,468,
733,765,732,222,026,424,435,871,884,466,682,310,703,319,123,944,550,278,209,
648,401,371,801,140,447,820,715,098,055,604,136,613,245,055,938,598,816,827,
595,858,734,249,635,632,499,812,091,406,575,690,859,846,595,906,295,853,382,
415,215,078,694,792,980,612,163,463,690,467,229,520,691,442,755,734,436,036,
311,940,786,389,625,683,464,279,338,258,386,064,035,442,604,924,829,476,817,
794,127,331,301,554,435,101,305,039,134,183,659,398,964,369,861,399,605,629,
326,453,536,252,767,832,139,894,056,711,914,647,036,989,400,933,487,718,227,
073,258,393,757,895,337,203,287,949,183,662,440,787,558,035,725,123,320,372,
361,142,331,773,106,769,634,475,437,878,795,664,714,898,452,035,691,396,362,
373,249,948,711,716,938,746,510,263,300,428,636,329,949,629,448,098,110,193,
796,988,519,672,816,845,869,256,742,149,294,610,441,323,941,736,191,281,431,
696,725,443,179,953,454,591,862,311,925,472,700,193,379,844,202,444,286,051,
681,241,070,879,301,777,443,645,633,280,583,822,363,746,495,485,328,599,429,
252,515,477,847,102,666,878,854,753,264,816,124,324,447,555,487,202,213,687,
075,280,941,541,610,739,776,394,656,101,703,599,905,139,247,868,378,016,803,
787,584,951,699,618,404,869,149,358,539,054,248,915,445,417,694,502,464,730,
862,303,893,715,714,392,371,171,919,429,462,605,529,928,989,624,103,265,332,
077,431,914,299,950,388,796,686,967,902,001,014,106,724,573,832,917,497,642,
445,198,150,734,321,918,997,398,012,902,084,718,194,445,684,741,289,812,610,
519,905,218,505,275,545,023,110,702,906,587,688,817,122,924,923,636,531,572,
578,863,933,049,140,400,770,334,097,130,589,838,275,120,622,871,133,195,791,
513,503,855,221,605,663,980,437,527,429,597,882,857,626,934,139,599,474,160,
095,724,113,475,794,137,958,078,184,344,144,738,504,085,589,554,851,437,346,
386,174,437,098,383,878,979,699,463,072,733,184,563,367,558,645,318,220,687,
277,317,858,081,423,626,337,479,857,596,986,452,910,139,317,596,733,988,889,
105,802,878,913,146,444,358,338,012,103,004,639,470,782,970,319,067,333,349,
136,514,169,568,233,271,743,021,552,391,200,981,014,017,290,476,826,638,327,
290,799,676,226,838,133,536,707,006,218,164,462,922,567,969,576,401,604,605,
894,169,733,014,966,840,813,472,689,597,419,580,545,641,973,789,012,040,318,
084,744,625,777,506,323,251,685,777,526,924,830,169,544,807,053,692,418,159,
393,368,159,326,253,368,384,939,418,168,824,990,632,252,668,426,906,085,261,
330,573,737,566,105,294,268,864,644,594,378,013,181,572,831,147,579,383,678,
880,926,127,336,610,674,152,121,548,000,977,262,235,380,655,527,467,351,345,
892,977,624,384,461,288,780,103,185,650,265,014,424,323,966,823,138,138,739,
865,667,129,642,917,627,248,673,882,101,035,899,236,951,880,540,734,596,856,
691,822,347,110,290,954,866,712,231,679,763,958,377,200,886,872,777,493,179,
791,098,832,471,832,423,392,270,068,484,743,509,986,931,131,429,020,657,156,
341,762,976,439,036,480,807,204,359,068,513,933,283,375,957,065,079,712,504,
168,907,250,274,902,254,521,156,525,108,448,257,588,811,212,444,838,547,807,
003,834,438,357,274,276,185,377,722,012,004,169,515,178,025,862,859,770,158,
585,260,256,169,651,930,283,112,719,280,632,975,469,073,042,835,418,975,399,
645,491,739,494,490,967,248,552,848,666,777,842,676,945,005,189,837,617,959,
262,197,623,825,807,641,751,492,517,662,316,923,159,305,148,921,960,502,483,
824,940,420,765,380,216,615,907,704,051,193,638,132,352,936,146,735,360,473,
991,401,043,930,119,637,292,807,890,143,818,108,657,686,979,496,048,359,567,
689,150,140,757,101,196,235,682,883,900,121,313,477,168,349,517,968,637,777,
689,296,137,651,020,289,428,069,970,470,015,296,811,720,472,977,304,126,448,
008,235,609,131,924,575,806,560,897,205,218,953,225,706,311,780,496,509,436,
586,560,787,205,239,665,165,925,539,119,261,702,450,588,912,822,218,041,500,
444,393,302,206,222,100,466,815,760,174,407,019,882,123,349,754,397,504,684,
386,861,533,053,182,804,948,942,770,181,731,937,583,770,825,338,918,054,850,
613,496,853,449,801,520,504,227,420,631,108,076,206,346,774,691,666,801,486,
214,591,183,174,083,365,310,887,211,775,332,483,851,825,960,385,175,380,778,
350,644,632,233,777,951,287,185,695,012,922,564,400,631,791,089,444,228,826,
766,607,828,264,044,235,879,757,342,882,412,748,736,894,959,090,297,420,321,
874,216,729,196,703,667,573,703,948,792,819,839,330,497,371,851,442,067,502,
353,131,033,097,561,902,048,349,244,844,239,397,836,769,748,525,837,617,537,
384,229,493,857,365,848,110,673,625,179,867,244,225,988,958,331,101,855,350,
748,753,552,542,334,056,191,495,995,736,018,831,066,066,419,875,203,218,094,
916,132,641,865,880,429,605,755,004,148,476,283,675,750,009,124,446,189,479,
322,421,977,016,185,936,244,929,918,431,480,063,665,232,587,250,749,333,756,
129,669,217,145,171,772,008,665,018,247,450,662,187,751,660,674,229,021,426,
060,011,552,663,378,683,263,993,696,051,953,578,782,206,058,948,760,195,290,
100,352,151,961,278,473,940,888,838,532,326,719,617,309,291,416,490,046,373,
444,096,055,160,543,883,072,775,060,987,087,315,037,520,797,009,644,491,927,
903,841,371,620,364,042,781,941,015,734,187,270,869,427,076,334,372,460,584,
614,695,554,980,423,970,025,891,437,121,209,498,664,530,953,234,560,349,476,
343,535,549,434,214,093,299,870,211,141,436,588,234,002,577,691,735,254,455,
521,323,446,088,493,331,068,027,058,714,770,368,867,332,002,493,776,322,799,
168,398,576,087,453,525,170,822,410,174,964,565,599,521,238,888,870,901,395,
157,877,818,309,954,610,169,666,613,496,098,238,783,237,378,424,589,748,096,
314,063,188,134,824,357,326,885,316,978,637,317,721,431,666,222,713,411,973,
296,267,335,144,535,380,087,416,462,920,260,135,728,324,321,200,659,928,571,
640,006,538,624,542,307,410,768,353,838,939,763,900,531,746,130,516,207,725,
362,702,881,651,512,675,937,468,033,659,527,004,601,514,831,196,805,127,110,
431,949,746,559,712,571,555,127,518,166,706,135,327,857,745,786,628,240,410,
624,475,493,636,036,626,964,732,483,921,400,873,051,254,802,273,379,256,941,
490,074,856,098,896,776,827,104,677,710,763,238,739,896,409,244,725,927,082,
686,404,614,699,752,952,018,138,558,704,320,980,336,901,204,373,687,023,617,
113,064,079,055,094,320,090,305,591,140,859,738,039,241,036,566,102,326,382,
205,253,297,713,318,442,403,533,886,630,730,504,680,017,845,877,898,509,730,
891,176,467,248,299,084,232,775,332,308,332,882,465,404,473,678,363,030,043,
787,352,790,213,738,129,688,689,019,934,135,513,403,959,576,626,406,887,529,
714,452,469,744,930,007,346,074,698,360,818,755,333,748,528,274,236,621,001,
890,410,650,070,327,030,745,464,923,734,504,439,790,633,647,166,342,925,220,
581,121,862,431,570,178,465,696,611,549,913,449,829,025,998,310,783,631,281,
714,934,722,232,432,351,331,000,331,948,478,527,015,422,566,956,477,685,005,
679,070,657,524,736,741,382,844,088,853,011,291,487,711,960,307,783,322,025,
118,141,383,261,054,221,784,168,209,982,994,968,841,327,828,309,534,853,866,
337,480,103,476,071,227,560,214,922,137,819,366,950,059,213,557,560,068,655,
874,038,403,218,161,862,227,354,295,653,289,415,879,011,450,774,113,429,371,
400,082,799,156,482,255,722,887,166,759,077,178,787,366,914,401,809,779,669,
043,957,205,148,520,871,899,398,802,337,447,340,970,520,321,258,642,506,245,
566,751,352,893,148,312,222,264,636,449,559,668,148,894,785,540,065,089,886,
590,282,809,885,686,728,637,340,667,768,618,247,679,835,710,161,185,170,841,
259,642,873,856,416,916,163,334,326,440,576,614,082,652,085,362,861,790,143,
959,412,232,710,233,685,739,346,713,299,130,549,093,578,057,207,632,931,281,
859,591,485,475,706,279,895,052,899,156,086,018,123,126,441,162,873,081,524,
233,566,323,209,404,649,051,450,357,028,939,368,548,811,714,531,222,958,233,
936,096,899,862,459,150,252,316,445,264,529,900,510,630,188,673,753,704,449,
136,986,484,502,459,612,339,515,011,385,703,128,810,319,209,372,316,901,499,
072,199,515,279,705,866,089,511,085,250,861,421,006,173,980,687,869,418,490,
028,089,374,183,258,483,257,247,519,679,919,947,329,910,233,157,771,214,522,
675,467,156,191,497,494,766,435,355,496,296,129,735,670,905,812,733,167,551,
250,945,065,143,695,001,337,397,446,065,533,127,751,411,066,357,804,747,126,
230,982,575,195,271,709,585,778,910,541,800,990,655,658,915,920,127,072,291,
037,870,574,242,246,557,744,163,278,765,965,122,753,334,136,095,385,231,561,
202,969,204,561,149,042,822,248,949,530,122,060,822,723,442,432,714,074,475,
471,297,892,704,654,328,820,982,797,091,871,379,152,148,094,318,121,077,691,
083,954,803,189,290,332,325,632,995,613,585,460,498,188,938,481,713,966,800,
850,895,230,159,028,025,784,516,322,337,132,382,473,206,491,895,419,306,755,
642,848,130,435,674,174,157,283,307,000,640,824,191,670,944,808,357,780,704,
653,951,255,560,705,117,628,792,820,382,302,480,557,379,894,625,636,012,706,
193,416,811,224,744,322,816,645,990,977,149,722,362,717,716,502,922,833,509,
381,301,199,415,596,501,508,451,082,906,843,644,511,803,513,876,673,291,634,
447,018,000,649,917,757,965,130,422,845,781,051,361,467,086,259,483,591,883,
113,345,542,206,878,296,062,280,465,404,958,709,341,938,701,091,116,637,525,
405,368,300,913,847,831,810,888,475,885,193,996,972,227,250,207,923,151,568,
977,400,538,888,803,458,024,301,676,019,911,105,384,747,408,707,965,078,179,
117,117,855,328,342,235,717,882,933,340,968,188,937,088,943,540,778,353,156,
004,277,054,233,262,693,923,349,235,916,901,933,774,004,398,293,579,547,921,
059,127,317,193,345,294,386,699,779,388,284,358,873,132,012,180,791,630,978,
973,655,389,988,704,045,498,107,403,757,423,210,361,452,142,614,349,347,519,
946,924,257,358,135,274,445,665,710,154,960,993,793,282,091,384,584,672,388,
204,117,314,043,356,053,842,195,167,798,027,768,851,728,528,491,734,270,862,
378,926,368,774,909,699,276,502,470,703,042,364,654,713,673,393,923,367,780,
619,994,174,736,230,628,751,488,715,169,448,146,241,557,777,892,470,857,072,
812,085,588,098,989,831,205,100,079,397,912,397,866,428,386,098,266,047,602,
184,316,873,818,790,885,043,747,805,806,217,135,686,331,761,074,525,321,165,
305,939,969,338,708,144,341,663,354,719,747,103,792,397,669,925,782,461,047,
536,698,590,053,611,882,596,628,835,868,723,136,692,723,268,538,030,887,528,
403,078,563,278,666,507,748,368,183,585,174,826,079,832,356,182,730,216,825,
341,090,750,936,414,768,404,538,459,765,647,136,883,803,820,643,097,227,703,
930,769,009,540,541,112,911,671,209,064,877,487,460,461,877,990,245,922,821,
869,965,446,069,761,856,682,068,717,829,859,034,082,859,436,823,126,232,966,
123,216,082,599,120,416,239,523,162,991,150,721,834,899,700,818,722,052,313,
960,773,632,506,185,050,119,759,864,523,642,178,909,386,309,855,230,246,385,
590,345,227,352,837,468,552,265,730,313,400,347,291,479,213,864,338,446,948,
976,683,478,747,378,012,822,716,908,211,371,335,977,694,875,843,869,421,408,
880,690,193,781,245,452,816,830,899,691,731,684,201,993,015,801,023,560,935,
751,106,255,015,890,917,881,378,969,149,923,715,717,108,130,107,830,783,312,
635,320,173,709,512,808,939,176,688,814,365,137,189,618,577,045,834,310,991,
104,633,297,064,787,128,852,243,654,574,370,417,465,189,572,260,489,536,092,
844,484,201,154,624,001,117,061,394,131,206,168,241,871,036,401,520,014,994,
589,042,608,902,053,593,893,179,638,236,665,297,736,452,733,975,646,909,007,
244,489,864,231,833,708,676,144,945,668,386,099,105,045,387,357,735,912,570,
876,077,154,736,097,431,433,065,501,018,530,782,396,117,912,174,121,600,537,
490,676,076,776,871,346,657,316,210,315,727,473,351,690,265,221,741,259,289,
680,940,886,462,305,494,094,775,756,467,023,320,807,337,735,777,815,497,437,
312,758,613,007,841,709,168,238,782,538,205,654,803,903,214,885,360,702,778,
208,816,060,816,581,427,498,416,282,180,101,905,914,789,404,089,810,364,364,
859,027,429,936,713,289,943,773,706,378,998,626,068,984,745,991,165,167,886,
299,413,695,086,158,953,537,452,900,263,849,744,173,028,246,366,947,222,273,
490,176,776,909,157,150,417,250,101,640,441,832,218,639,230,568,214,563,983,
945,134,684,425,813,811,664,606,938,251,667,085,601,491,706,005,617,144,213,
551,645,774,747,160,230,382,454,839,240,822,939,520,947,153,583,126,172,591,
369,394,595,577,891,747,534,651,920,586,714,482,935,212,254,550,897,206,553,
072,795,900,467,599,348,089,250,377,516,320,020,968,752,985,455,273,177,721,
976,319,451,355,384,680,984,432,310,112,366,030,097,704,493,771,152,531,692,
303,007,360,717,013,970,788,389,808,672,101,624,247,715,556,553,037,249,652,
970,992,860,162,029,702,293,361,111,443,782,678,734,862,145,414,200,431,138,
427,107,264,836,497,702,874,339,176,347,901,809,338,060,546,477,506,051,304,
314,864,698,398,949,821,271,562,508,179,870,043,804,198,036,988,683,984,591,
095,378,809,220,230,960,398,197,223,913,716,076,085,931,761,434,964,700,275,
925,866,983,684,971,064,299,508,701,467,343,691,150,598,515,339,158,573,591,
054,605,851,097,928,462,128,489,355,330,669,923,419,538,973,767,047,813,042,
105,226,591,037,900,446,632,221,444,634,442,713,931,063,890,047,161,848,253,
778,483,431,870,321,938,438,690,253,233,473,725,628,990,349,386,138,515,987,
468,063,045,102,551,822,401,501,364,897,342,044,831,144,733,254,919,435,690,
136,106,872,303,428,742,348,009,061,059,679,065,197,281,201,005,021,540,185,
581,189,875,346,168,628,789,559,896,405,645,341,508,611,591,784,053,697,007,
278,365,352,143,211,283,377,273,533,303,200,390,617,465,973,012,283,472,569,
979,108,573,009,299,782,997,941,961,490,717,219,600,616,598,369,680,532,568,
560,427,417,420,972,297,228,386,510,370,132,799,553,745,662,921,471,046,499,
463,312,651,263,184,029,959,539,795,161,343,345,830,119,150,904,125,681,685,
395,609,756,722,161,750,465,466,391,482,480,847,557,865,215,117,910,070,996,
531,097,505,116,053,823,794,679,195,143,124,359,426,775,289,947,573,420,354,
809,841,679,014,496,022,022,058,779,067,935,899,558,162,428,710,160,475,814,
124,510,689,721,766,995,209,288,124,307,484,025,455,716,162,144,815,163,281,
999,179,986,361,834,461,804,225,579,527,186,564,846,424,335,346,999,167,621,
442,513,063,853,116,491,150,520,730,620,457,392,701,778,738,449,892,363,352,
180,285,835,815,069,693,045,071,970,213,730,365,441,028,600,415,597,176,891,
313,650,333,203,229,898,077,874,636,947,614,706,296,039,721,382,191,461,681,
428,026,524,016,722,929,278,985,023,162,737,071,041,408,817,531,777,419,351,
504,620,204,968,647,801,976,570,968,404,807,491,988,771,614,910,764,992,980,
987,517,861,363,651,073,962,459,472,334,065,785,557,226,001,357,292,487,906,
253,578,966,697,013,779,139,130,908,186,464,360,671,481,855,911,421,172,820,
581,254,688,643,390,974,852,740,501,331,616,212,009,288,636,047,089,377,350,
764,846,540,228,027,943,643,323,021,776,517,608,770,359,537,047,366,666,367,
582,505,003,862,306,464,196,969,318,414,596,908,504,632,368,354,509,953,172,
718,843,208,583,461,258,346,817,669,453,846,537,113,977,486,694,392,280,360,
595,215,733,975,323,294,610,265,974,336,354,448,027,346,136,499,954,394,224,
974,693,387,618,309,639,143,834,504,288,166,262,631,445,201,388,666,347,747,
968,191,674,425,555,844,721,500,054,984,656,779,056,446,870,752,770,995,677,
209,099,731,971,639,792,925,915,641,880,404,051,607,629,630,884,849,315,804,
093,552,064,508,915,427,655,448,732,320,642,004,295,461,808,161,426,303,883,
130,152,983,962,145,254,085,295,473,282,458,005,674,832,023,357,139,555,427,
967,016,020,235,568,085,248,004,095,628,769,621,379,614,341,165,089,627,902,
738,285,081,537,645,916,218,347,299,339,979,220,551,344,935,859,709,525,968,
326,000,983,146,844,730,491,558,939,052,280,513,283,593,032,152,640,322,131,
245,096,188,994,007,775,122,645,097,905,571,159,800,543,481,106,706,538,275,
454,114,056,353,048,590,478,063,699,812,146,682,095,276,942,716,637,849,686,
670,985,637,788,255,429,513,865,760,542,630,351,223,592,884,888,842,447,100,
570,224,288,588,907,864,134,274,964,671,336,683,631,794,640,944,534,711,424,
435,623,547,855,048,360,951,956,979,650,051,860,519,999,785,385,309,027,725,
980,679,204,090,415,409,438,073,080,039,095,314,678,914,437,388,114,531,260,
523,367,047,758,733,958,175,157,284,292,486,003,760,104,314,044,549,968,712,
509,864,460,688,771,518,441,062,544,101,721,907,669,329,775,701,357,286,894,
784,443,602,726,742,418,265,895,491,769,681,199,238,896,339,479,868,279,392,
269,869,420,762,502,637,657,734,118,813,424,847,989,289,350,240,161,001,307,
673,822,968,817,621,076,129,199,300,964,435,977,182,353,400,573,803,539,060,
991,817,373,861,281,246,005,043,906,361,741,936,166,791,656,479,132,128,475,
454,761,320,985,361,899,358,671,627,511,851,054,445,557,187,541,341,259,569,
817,497,236,675,221,055,831,876,857,044,941,685,992,532,113,898,154,271,550,
568,805,245,893,828,609,592,508,287,184,851,126,552,574,695,087,473,027,048,
598,302,803,242,446,745,499,153,256,772,599,559,164,954,992,744,376,745,855,
021,247,753,761,759,301,655,535,888,653,666,032,963,111,054,687,695,541,200,
065,779,653,826,478,589,654,614,043,602,022,131,259,670,342,378,924,879,730,
571,276,177,659,933,898,605,030,065,818,818,788,915,961,081,669,851,786,287,
103,853,187,180,230,738,144,177,623,787,931,067,495,075,708,736,364,685,160,
906,461,400,273,089,545,576,860,947,961,419,247,545,330,832,139,933,914,474,
928,818,888,375,994,467,833,361,537,304,059,719,415,376,906,747,262,004,840,
843,733,130,091,274,648,892,228,007,226,314,361,567,245,656,330,845,451,131,
796,698,921,210,352,585,833,664,765,785,645,684,772,843,986,660,483,736,338,
457,080,786,357,552,605,507,088,843,853,961,143,213,304,669,351,569,743,618,
670,979,158,204,471,333,237,280,814,454,206,776,810,924,415,942,257,730,661,
258,735,287,746,849,923,150,621,716,061,392,454,501,400,026,023,101,895,494,
897,818,970,381,869,555,065,780,325,387,016,395,805,543,422,183,116,269,950,
994,200,449,579,683,041,243,511,182,058,611,445,447,019,387,892,847,075,125,
588,409,906,199,731,357,477,216,299,969,884,515,573,729,873,186,044,259,226,
544,892,820,300,820,855,752,558,738,050,648,978,911,362,791,296,324,516,903,
053,671,854,461,846,704,079,190,591,367,279,619,629,585,323,426,948,773,033,
817,396,485,808,417,570,776,398,887,399,707,497,404,176,567,626,950,808,977,
326,781,373,961,955,078,196,184,236,608,048,887,234,631,135,133,820,485,421,
674,676,343,876,638,050,078,417,547,596,439,918,444,106,414,477,085,914,158,
151,509,473,997,150,146,460,359,438,759,791,706,967,949,375,048,738,427,737,
925,840,997,211,778,559,989,845,932,633,055,694,379,148,337,621,248,452,729,
193,935,655,755,098,026,138,135,478,320,969,218,748,771,696,163,724,199,841,
647,428,953,782,755,217,929,484,836,433,213,682,261,944,003,674,694,475,431,
878,535,256,298,269,935,065,956,878,324,399,218,151,507,745,836,434,300,716,
199,555,187,173,014,972,675,417,615,687,519,495,967,462,194,425,342,507,789,
315,755,245,794,586,128,622,859,884,928,979,758,493,582,911,988,397,619,560,
477,513,598,668,542,779,307,275,197,808,297,704,431,300,280,605,163,006,316,
448,959,145,445,083,198,537,833,662,324,745,374,487,871,886,659,072,699,394,
291,609,969,921,807,563,278,966,182,528,914,891,321,380,462,390,155,441,686,
882,624,703,574,957,819,920,405,128,662,879,321,299,491,021,902,168,342,960,
029,654,884,747,126,831,989,376,383,850,097,512,256,141,937,303,301,656,842,
549,954,875,091,051,526,955,230,675,697,176,530,396,828,599,463,695,814,693,
819,371,652,160,580,537,317,001,702,537,383,900,472,618,966,115,670,310,073,
443,102,092,530,859,110,308,177,899,248,588,972,833,703,623,499,439,297,749,
731,950,283,578,739,858,896,352,040,868,212,742,066,262,412,579,908,817,492,
524,903,657,118,082,459,599,244,018,991,977,581,146,240,012,326,729,494,905,
699,356,948,386,971,473,059,865,644,375,194,115,205,282,026,136,158,589,499,
754,343,712,951,564,044,364,585,416,318,270,389,556,368,609,493,575,747,760,
938,275,869,188,414,744,529,306,871,950,418,969,685,185,828,622,746,517,968,
422,880,990,890,014,368,424,852,115,252,886,782,068,464,041,734,319,548,449,
565,283,144,720,543,317,328,898,780,939,394,149,076,226,837,201,161,058,914,
480,886,464,178,950,402,854,973,748,781,282,182,895,735,437,277,053,926,574,
854,839,892,288,601,528,347,876,775,422,316,681,493,195,228,026,544,306,016,
021,381,296,133,128,763,613,392,868,281,273,721,676,700,302,182,828,175,979,
311,184,798,946,355,114,450,157,054,827,049,249,245,572,829,554,245,580,899,
892,984,005,140,455,901,383,137,014,475,239,556,427,321,740,862,752,425,817,
056,856,223,003,162,625,006,691,472,473,414,518,329,944,837,925,787,938,498,
590,447,833,900,122,627,129,622,198,202,525,817,680,417,488,378,014,604,133,
112,061,819,692,792,615,603,943,822,557,093,947,654,325,845,720,720,580,308,
301,815,178,355,854,224,634,011,532,888,319,314,701,240,282,507,444,036,006,
263,950,070,187,780,228,489,143,058,008,173,297,406,800,035,002,353,969,694,
836,401,253,398,280,260,872,209,487,415,534,789,908,946,795,911,227,922,501,
725,042,837,950,292,209,498,418,347,698,477,498,904,700,972,895,068,950,163,
356,366,538,395,460,523,483,007,699,842,235,317,987,918,241,108,413,831,271,
956,319,062,034,995,267,252,266,533,550,208,047,812,632,903,138,030,225,251,
152,460,944,095,765,633,597,637,975,995,592,878,490,573,920,272,776,937,072,
301,999,968,041,584,830,469,827,491,224,742,660,308,277,692,794,000,866,478,
790,155,130,886,686,240,121,026,741,289,175,203,851,004,981,267,572,276,333,
949,171,337,028,194,498,833,513,254,965,284,183,218,910,637,604,082,182,328,
195,613,037,294,912,271,215,629,399,603,274,289,427,045,497,175,674,898,657,
154,387,759,097,905,289,693,063,500,121,478,312,860,312,129,189,271,601,277,
838,019,082,165,059,120,129,749,299,831,447,763,481,594,991,302,002,947,810,
252,431,059,874,217,038,839,753,893,794,571,890,402,710,268,024,418,391,471,
096,586,680,189,504,167,101,061,465,963,468,702,187,494,810,245,140,876,302,
742,401,260,233,885,326,816,540,655,037,982,273,743,442,747,889,648,350,786,
259,246,316,854,843,351,361,596,142,944,540,539,965,275,822,152,281,521,858,
104,514,278,034,845,874,433,171,324,850,686,775,409,392,084,342,404,989,340,
098,811,847,618,646,826,826,463,650,999,462,687,573,549,451,671,368,222,460,
167,026,271,781,718,652,035,407,402,018,597,051,364,746,648,898,042,319,842,
947,545,048,841,500,013,625,874,043,643,599,845,958,884,125,106,760,957,917,
890,860,788,093,902,574,109,047,649,958,384,664,208,115,943,375,605,554,697,
386,700,082,401,957,913,503,557,088,783,755,211,360,953,809,551,183,179,337,
399,912,694,977,120,115,589,569,547,829,313,550,158,248,242,321,089,802,449,
508,339,357,856,617,997,614,754,125,302,858,815,995,222,036,479,676,535,775,
296,183,064,832,729,711,595,834,644,333,710,472,108,430,178,658,418,170,535,
239,100,991,347,375,157,958,905,014,008,907,496,364,701,567,409,141,900,033,
050,011,167,483,936,826,889,938,141,960,039,103,576,517,996,539,097,235,286,
283,482,899,739,893,526,785,982,997,832,560,721,322,940,926,695,124,830,079,
388,436,741,353,353,845,930,249,965,989,660,391,776,280,093,796,706,226,186,
673,362,265,583,389,223,175,907,122,248,909,482,927,921,628,828,499,962,902,
589,461,438,477,096,642,335,712,345,084,254,810,535,342,560,493,418,412,888,
382,633,200,098,258,325,399,443,461,607,079,377,998,201,971,527,995,742,094,
447,249,015,377,891,144,385,825,249,644,745,064,318,731,918,175,040,195,892,
795,003,347,564,507,312,863,908,221,767,361,128,189,572,560,023,896,104,681,
462,960,409,895,435,012,277,035,499,074,164,098,003,263,753,704,556,067,848,
780,920,581,277,102,495,263,572,317,369,540,488,570,314,887,669,982,598,246,
268,664,082,236,154,170,573,049,116,082,389,909,236,378,317,925,636,380,405,
597,879,230,119,875,625,107,013,869,150,783,369,428,921,799,002,174,630,898,
307,829,427,194,705,962,274,337,728,488,820,684,487,482,694,898,160,764,921,
148,484,356,954,369,722,671,693,805,926,601,776,986,242,469,111,356,921,881,
145,931,191,314,285,245,997,437,733,130,852,106,184,869,054,956,527,753,069,
254,813,936,891,673,960,413,697,267,792,719,747,175,209,318,465,772,965,233,
053,265,785,528,970,507,232,769,185,113,893,714,170,276,192,498,478,457,595,
688,181,189,883,928,059,082,710,402,541,206,412,551,315,294,281,032,050,569,
297,497,933,513,151,048,215,743,506,125,697,359,591,433,793,600,056,668,658,
102,425,084,174,402,024,391,748,417,473,617,733,270,055,921,866,662,207,064,
049,867,012,377,390,987,694,447,022,967,110,040,361,928,967,506,418,509,185,
351,325,644,966,571,302,626,273,277,807,933,633,802,589,434,511,584,601,280,
569,490,956,095,748,446,290,736,239,561,675,235,477,969,844,438,193,419,103,
342,463,073,845,449,098,188,538,394,331,107,264,955,925,409,947,610,137,784,
798,821,798,052,917,521,350,469,466,807,594,890,908,226,279,062,612,297,048,
752,340,220,707,682,717,109,324,231,786,431,552,121,974,802,346,457,302,392,
449,188,492,090,072,701,263,524,993,346,550,828,202,176,941,984,942,090,472,
526,023,314,803,646,495,493,997,074,007,168,771,424,403,856,376,301,376,118,
685,322,834,304,271,052,489,945,677,439,370,939,417,028,165,523,778,220,969,
912,008,164,492,060,455,359,564,105,508,086,126,279,798,510,467,311,584,638,
419,291,853,282,437,751,912,803,174,850,983,479,397,508,154,809,970,097,343,
493,938,411,593,421,916,313,175,847,847,536,527,433,599,381,987,859,649,388,
803,207,069,283,721,224,583,685,155,466,893,991,226,212,961,440,041,139,236,
856,248,948,224,923,883,044,522,024,738,986,291,933,416,600,334,699,346,670,
297,787,316,078,295,586,737,475,626,162,427,668,164,794,473,413,773,018,702,
335,643,495,654,879,037,434,620,486,444,143,457,025,619,132,789,063,928,550,
793,794,113,345,142,664,027,289,594,475,899,733,966,053,660,885,117,980,496,
452,520,054,159,950,529,940,875,130,918,218,822,476,579,278,766,611,865,807,
143,240,766,382,040,259,489,535,677,047,750,005,651,257,247,425,107,401,393,
620,830,566,782,693,888,502,426,025,568,735,533,489,931,217,484,544,730,405,
247,078,770,130,323,110,590,481,880,003,482,426,249,471,330,724,755,698,078,
403,290,503,552,554,506,083,120,391,659,349,726,724,451,364,163,806,140,594,
372,222,087,972,400,817,100,871,740,032,964,569,282,325,549,164,328,040,216,
349,821,204,356,879,181,767,020,750,910,229,941,639,551,563,835,304,840,070,
633,290,574,889,589,362,245,078,231,973,192,873,537,084,714,554,212,341,506,
624,192,803,463,431,547,998,015,387,471,224,680,049,375,899,750,450,367,499,
800,170,476,733,293,727,481,750,298,530,822,912,167,610,424,536,264,343,380,
245,802,480,267,248,656,762,302,641,582,651,438,817,310,714,404,245,926,426,
706,369,703,436,489,458,769,075,015,017,808,726,623,251,662,966,290,246,313,
777,083,982,562,066,361,559,319,488,298,254,603,658,692,308,622,531,811,477,
078,730,876,120,092,735,131,612,134,049,947,684,653,123,200,815,117,395,841,
648,224,909,444,170,169,758,485,356,175,013,531,136,106,944,901,801,216,462,
100,805,411,142,289,096,085,913,017,223,730,720,466,383,582,219,241,514,146,
203,564,273,582,362,470,671,642,457,178,474,625,494,134,748,153,856,375,580,
155,195,150,148,445,473,612,199,532,624,736,835,001,832,946,529,534,486,328,
419,596,538,553,898,683,600,891,895,121,380,268,493,158,216,937,738,579,682,
392,870,476,890,641,879,904,561,522,537,612,187,599,503,548,192,950,050,390,
117,157,964,840,956,079,853,433,894,828,727,431,420,328,793,919,243,403,954,
019,192,075,347,909,631,062,342,008,211,597,694,794,055,721,042,768,197,312,
676,245,003,538,912,452,659,294,684,572,934,326,456,436,835,043,430,218,375,
862,506,881,458,902,368,503,856,543,095,647,409,746,169,342,934,263,484,669,
056,558,010,545,357,573,952,792,737,180,261,828,422,657,167,859,278,647,273,
951,337,819,638,210,125,586,106,483,068,676,094,647,770,580,942,928,035,788,
060,369,080,112,799,993,614,198,576,083,104,033,853,997,252,075,463,256,884,
257,589,652,331,186,530,711,253,929,522,308,546,897,526,439,809,853,052,660,
417,987,313,344,079,168,595,638,015,618,145,569,302,253,511,136,191,818,825,
017,617,451,295,563,875,346,112,121,374,412,433,258,623,037,610,299,886,516,
424,057,795,325,932,407,449,852,425,179,566,722,277,637,378,371,303,179,385,
587,875,682,222,303,995,278,549,304,741,933,128,957,793,378,143,164,022,254,
289,048,671,998,759,027,960,608,866,889,642,754,777,194,220,261,467,791,150,
635,382,427,304,485,370,106,971,223,345,826,786,690,171,752,822,509,964,109,
522,829,844,862,503,051,162,547,640,974,927,593,547,933,808,138,936,267,552,
005,930,837,251,441,477,550,465,608,363,141,643,160,048,554,483,380,075,300,
984,909,923,407,265,797,835,831,441,388,062,373,406,793,943,076,171,884,611,
419,057,624,727,164,004,193,118,868,201,433,490,602,415,686,435,724,979,472,
061,516,724,671,649,475,912,181,777,216,252,398,375,632,248,312,116,444,964,
417,360,471,212,894,447,891,859,133,513,726,515,073,180,368,505,192,867,532,
982,254,817,348,487,258,488,546,901,041,057,562,447,459,216,606,214,788,304,
071,301,001,006,391,017,716,436,648,951,661,305,493,175,527,290,616,987,048,
185,562,879,031,383,012,580,422,772,209,611,750,080,556,910,232,104,216,273,
224,363,126,222,999,708,286,274,214,189,049,941,797,373,925,738,139,547,445,
694,963,066,188,889,407,350,906,788,937,860,791,593,334,493,949,470,821,422,
475,092,472,268,539,392,506,769,535,036,700,916,062,468,048,705,941,098,441,
511,475,045,249,808,666,962,472,926,480,913,361,738,556,939,541,848,866,759,
762,923,932,646,681,765,466,970,464,190,598,205,693,371,807,351,515,811,215,
675,589,188,652,305,790,261,809,726,939,984,964,534,646,010,198,995,251,895,
437,111,851,559,419,344,849,143,157,471,060,829,327,858,478,352,281,617,809,
805,991,216,103,843,076,298,760,027,748,024,534,866,866,593,223,890,305,033,
637,822,761,234,138,456,052,014,616,225,318,140,449,500,102,492,349,895,189,
849,136,774,492,026,005,390,731,193,101,506,743,376,369,421,686,616,140,779,
976,470,772,690,788,798,734,473,474,456,482,987,909,835,537,764,326,349,531,
867,469,516,156,213,630,724,433,972,489,184,635,607,272,802,428,970,414,975,
527,939,591,108,929,166,855,181,941,258,953,129,949,322,966,657,740,896,703,
943,923,840,321,950,045,144,565,849,630,370,655,738,333,217,571,237,511,514,
817,342,582,271,132,390,346,504,549,520,469,501,861,951,814,185,050,313,476,
971,361,435,402,036,100,511,419,216,825,933,477,917,472,730,883,497,064,116,
658,289,493,071,271,475,458,625,782,258,662,396,632,603,381,291,517,368,484,
030,635,706,655,742,369,358,446,277,203,909,491,641,126,787,456,564,822,888,
631,464,503,010,120,622,351,822,774,524,620,217,474,735,624,982,707,944,403,
756,130,383,425,710,173,598,673,524,388,930,054,632,473,611,668,275,215,971,
768,894,058,861,477,672,715,016,454,633,315,848,468,127,095,259,861,073,525,
878,931,406,801,972,284,756,025,231,459,297,213,835,911,090,688,118,018,180,
695,535,450,438,929,957,748,132,176,289,118,900,987,314,658,482,799,820,876,
170,725,559,124,149,743,389,372,796,522,384,328,471,133,883,067,128,653,857,
391,647,951,792,208,622,446,453,667,434,629,521,975,363,331,786,329,402,195,
391,687,701,874,912,655,384,797,454,459,374,692,526,184,759,033,894,069,610,
646,299,253,258,333,891,364,561,054,594,518,729,783,542,795,139,674,640,919,
201,383,997,062,548,730,667,685,291,608,086,471,679,193,145,789,693,378,220,
720,625,959,194,888,261,375,605,711,278,080,859,147,337,793,977,573,210,131,
137,873,240,820,781,230,145,023,659,921,752,566,691,578,777,431,126,891,034,
452,470,895,240,721,021,887,530,400,821,273,163,521,162,832,198,679,831,400,
913,094,283,764,515,866,601,133,305,409,670,965,274,092,740,399,784,333,501,
519,285,049,653,360,167,266,350,298,231,772,514,725,186,477,094,402,154,444,
728,792,621,825,457,893,431,670,599,430,772,965,646,986,146,062,156,666,214,
470,659,985,743,954,974,718,455,466,808,281,582,926,126,465,192,447,067,091,
988,786,597,391,382,830,067,488,187,643,398,944,185,088,111,940,676,320,789,
686,352,292,566,863,752,609,425,779,636,408,687,218,702,736,972,518,557,615,
662,677,353,353,895,831,885,687,898,124,355,508,973,893,050,834,999,820,710,
380,372,396,422,689,808,411,109,672,078,137,421,245,465,479,631,987,640,027,
369,222,277,113,490,630,713,236,894,088,181,882,073,368,213,169,605,176,412,
796,651,182,717,266,997,296,731,723,537,682,488,104,855,744,261,162,129,961,
849,543,341,261,347,385,579,632,662,973,284,067,177,983,272,804,144,672,260,
757,746,500,761,413,565,184,263,825,128,076,639,249,405,797,533,470,801,888,
135,266,900,245,916,150,554,026,211,262,459,967,910,934,493,400,276,383,085,
861,728,873,000,830,653,433,812,151,847,676,881,806,360,769,467,587,081,211,
487,134,287,367,968,645,597,322,517,944,856,650,750,165,863,447,260,732,938,
636,133,197,862,632,295,177,642,774,901,837,147,591,747,884,336,680,935,128,
324,799,911,017,452,025,376,100,943,229,957,193,426,335,042,301,973,305,222,
886,218,285,343,001,607,722,452,453,003,188,000,658,280,909,610,760,795,317,
229,087,367,032,052,233,408,672,762,977,215,325,494,309,990,568,503,217,826,
135,339,096,220,998,414,306,600,571,601,471,313,522,652,512,862,977,554,564,
720,941,227,091,875,288,726,881,786,872,430,542,947,290,032,437,199,058,017,
130,521,458,639,496,600,400,447,595,979,339,845,251,574,604,905,447,692,105,
581,243,834,843,901,262,529,806,954,564,211,847,319,343,752,823,410,219,482,
723,646,799,778,861,352,686,604,233,654,164,376,347,193,996,350,221,968,328,
263,365,616,334,155,269,392,471,226,271,329,806,281,810,978,482,055,180,749,
069,100,730,073,672,467,807,921,958,475,588,776,281,368,203,465,876,789,902,
013,581,263,565,175,785,296,707,617,672,907,145,288,432,853,943,882,231,409,
526,573,262,296,958,468,797,323,274,022,567,419,066,568,443,347,452,024,078,
176,036,184,103,473,125,822,318,470,870,436,781,357,093,924,647,208,120,736,
823,511,301,227,938,149,562,472,865,659,109,478,274,519,108,851,783,303,207,
608,510,452,095,421,279,833,574,281,776,999,180,661,127,686,162,523,627,013,
088,606,075,176,598,238,218,189,001,221,477,576,221,430,496,471,594,564,090,
481,143,349,082,936,669,500,370,732,510,444,632,822,314,667,093,336,836,998,
616,882,016,740,402,590,386,329,565,073,524,496,582,665,544,343,080,552,872,
574,989,922,430,111,606,960,906,487,190,860,551,191,268,787,048,805,822,001,
459,762,047,021,632,751,108,269,779,368,388,569,960,072,543,009,318,943,507,
535,357,334,970,792,042,139,635,204,363,083,250,308,189,910,373,758,262,980,
334,332,719,133,473,644,828,560,226,476,867,734,160,944,370,597,361,969,726,
349,616,850,808,947,539,305,926,841,880,345,620,152,782,783,877,280,330,771,
786,027,727,633,581,548,401,384,100,892,764,171,657,996,297,039,468,840,324,
680,042,954,783,815,996,858,689,867,498,310,025,457,932,300,131,681,699,862,
493,793,855,049,300,069,098,270,295,930,232,134,715,424,781,681,649,463,472,
701,499,333,434,999,688,659,056,348,914,192,875,874,408,774,637,366,579,331,
056,094,455,558,745,140,412,681,242,218,927,603,648,463,053,143,857,764,600,
383,156,990,666,815,129,377,546,471,902,766,466,894,605,923,164,124,027,872,
572,469,810,335,063,336,597,449,659,732,459,136,170,744,336,711,775,750,754,
720,826,268,564,030,160,810,326,730,486,729,948,622,650,885,546,814,136,316,
538,385,236,364,414,195,769,738,367,899,772,668,264,467,923,983,524,130,452,
690,545,493,094,479,507,924,119,915,513,835,152,756,172,495,579,856,240,385,
859,783,136,224,135,545,429,855,601,766,171,027,460,206,714,335,978,255,440,
786,546,127,037,812,716,420,348,188,981,710,254,467,029,438,531,174,783,472,
704,842,107,613,199,265,812,210,969,237,234,664,993,201,040,323,942,160,395,
180,307,854,444,032,426,394,816,872,992,525,766,746,271,695,094,431,072,103,
305,510,212,176,573,081,947,500,304,978,306,337,939,830,060,968,034,149,164,
356,714,999,728,465,233,183,651,608,506,893,595,945,774,936,799,239,605,228,
240,029,344,205,339,641,233,984,669,249,364,138,971,710,283,959,703,602,570,
269,028,489,592,789,393,809,926,607,479,482,078,676,377,726,596,035,683,556,
681,748,318,355,197,828,520,294,936,598,173,637,673,710,139,094,202,865,789,
074,810,117,680,200,252,290,067,559,406,055,186,983,662,290,976,387,697,950,
448,509,125,673,279,033,434,368,632,734,477,151,958,661,265,052,940,284,618,
417,682,795,137,978,450,454,348,919,075,107,470,958,876,361,510,398,656,600,
571,471,076,295,942,300,784,992,737,797,565,230,382,917,712,005,559,349,005,
570,528,562,358,154,237,490,951,954,138,597,358,284,571,073,078,681,220,211,
365,215,939,043,440,973,247,295,235,172,748,213,847,342,149,338,368,367,980,
709,944,150,373,756,038,261,140,387,170,340,239,247,693,941,124,870,542,726,
212,279,273,795,477,382,330,761,268,507,709,553,240,776,318,177,856,535,363,
056,669,065,457,031,561,219,234,753,977,014,308,520,967,766,062,110,933,567,
263,142,909,069,849,619,435,197,978,334,256,482,014,259,805,487,999,508,416,
326,065,646,958,712,853,026,049,360,996,784,856,948,993,142,873,232,968,414,
506,425,840,899,526,470,258,768,371,109,223,282,843,965,135,454,613,943,864,
824,428,597,229,534,735,431,336,968,481,608,803,344,991,545,795,026,900,332,
120,917,754,952,484,917,567,731,593,435,730,258,250,309,114,119,027,406,724,
860,586,061,408,829,748,593,001,284,520,697,124,531,014,624,129,661,755,392,
310,206,925,335,628,553,263,956,952,678,404,152,582,595,788,721,583,466,352,
036,422,952,813,604,153,293,080,811,732,456,910,833,883,032,163,252,101,139,
622,029,959,092,904,402,529,968,785,872,110,824,593,460,678,347,785,714,645,
280,324,363,904,248,147,200,339,982,110,926,204,022,059,653,815,463,956,461,
835,806,790,403,983,956,315,619,620,032,609,100,525,090,761,403,097,790,804,
114,301,376,111,356,225,100,107,407,117,964,983,713,616,698,909,301,730,773,
630,945,505,124,464,601,763,368,091,742,408,992,005,438,995,009,219,249,494,
699,568,797,678,736,338,136,700,189,955,063,382,625,906,226,236,709,178,880,
496,575,111,352,863,588,176,106,405,739,704,064,451,537,165,198,506,729,066,
745,339,923,372,584,573,796,876,178,811,966,786,131,113,749,919,256,851,868,
325,494,790,882,991,685,638,673,211,353,232,329,575,119,742,931,033,181,888,
782,565,014,734,610,192,687,173,092,881,969,370,677,936,882,689,809,248,040,
938,257,993,186,466,224,208,164,224,161,311,224,401,392,263,650,893,122,585,
510,594,082,551,704,750,456,763,617,131,167,552,922,302,557,249,002,094,875,
865,630,616,154,413,154,541,094,883,749,633,969,526,677,210,418,710,554,056,
369,914,544,153,094,529,059,291,626,787,938,398,227,361,702,241,746,093,057,
757,000,462,379,413,455,169,002,274,479,340,451,291,594,006,307,058,726,807,
595,898,769,453,415,722,111,415,170,685,879,614,992,172,934,978,778,418,285,
501,454,496,365,457,365,146,123,897,619,584,280,288,000,628,826,845,248,725,
998,401,294,529,669,715,099,492,874,300,589,697,735,522,912,881,219,003,280,
338,956,729,959,350,098,088,683,916,984,520,941,127,060,846,029,077,361,129,
547,155,362,804,914,885,531,916,769,356,633,284,327,358,287,215,659,242,064,
077,439,087,652,342,121,050,050,077,478,517,163,664,445,785,558,077,547,922,
686,139,655,331,792,930,052,938,097,009,826,921,457,737,530,192,180,094,947,
191,641,515,542,857,021,399,081,802,612,643,500,679,269,730,954,333,779,570,
599,096,313,472,989,279,683,161,623,174,355,607,932,306,607,888,816,045,219,
826,763,563,858,374,131,038,134,461,323,761,779,518,602,128,659,287,274,038,
726,123,068,705,244,832,879,680,447,099,445,510,512,243,726,242,480,144,629,
191,842,870,178,717,422,320,828,852,477,058,675,549,249,591,281,329,865,777,
148,206,972,632,405,823,641,673,748,816,418,871,411,280,640,319,873,793,382,
313,365,520,537,409,602,165,936,780,330,704,506,756,493,079,850,889,951,049,
317,523,636,197,366,353,601,171,707,367,570,086,184,282,625,403,714,590,480,
876,901,159,433,428,776,565,838,697,648,759,743,794,526,488,053,393,550,885,
615,342,820,317,889,277,875,913,996,419,885,913,319,804,941,477,022,890,675,
793,239,261,565,177,169,024,041,167,459,313,759,595,874,640,670,897,981,032,
494,752,683,871,441,377,684,904,669,208,441,925,431,319,254,171,096,426,558,
552,163,679,524,712,775,373,730,978,378,499,961,248,756,635,617,586,792,469,
923,641,945,797,300,359,178,265,252,061,725,205,890,331,323,204,749,545,163,
372,315,201,320,200,764,487,838,190,061,961,969,885,209,467,862,026,106,373,
071,085,480,941,107,479,860,157,764,331,261,789,856,918,582,318,420,137,967,
814,778,386,362,657,852,119,664,028,020,439,102,627,402,461,042,866,646,944,
749,889,726,013,626,360,413,143,196,875,227,267,616,899,240,720,409,707,777,
632,772,702,859,005,162,345,104,842,759,583,763,689,659,156,490,622,977,851,
237,884,111,068,919,308,935,106,051,166,990,142,540,798,856,388,908,412,713,
321,255,576,309,924,496,480,483,346,412,550,543,838,431,463,779,232,525,882,
442,309,481,346,257,610,166,338,334,181,587,956,598,371,816,498,285,375,299,
309,455,711,000,462,531,541,811,761,903,831,002,608,953,364,673,168,539,678,
063,526,978,188,787,568,321,574,551,426,968,498,276,235,510,974,484,779,663,
396,438,166,180,070,310,035,439,207,314,988,984,031,473,867,525,521,875,915,
173,198,517,934,736,543,906,956,064,677,357,106,589,325,340,679,138,385,432,
136,776,313,276,150,722,881,087,076,927,343,801,346,313,938,435,003,042,963,
177,343,566,294,635,747,495,850,824,044,601,300,454,852,064,224,588,923,369,
845,966,279,500,915,218,394,555,107,648,442,613,874,161,047,018,231,343,672,
365,133,099,316,269,574,194,525,590,890,150,620,626,819,878,041,905,301,038,
223,093,132,998,781,480,347,915,777,838,080,221,383,144,964,395,978,359,689,
499,882,363,541,298,716,479,314,096,743,238,013,695,287,559,158,268,524,934,
871,386,142,827,059,459,798,952,285,287,662,668,389,395,933,063,632,362,502,
525,274,698,329,912,647,488,676,413,360,694,758,724,770,779,942,550,727,433,
288,791,818,568,402,178,355,115,438,476,876,150,376,174,786,390,711,736,332,
602,708,656,973,741,371,553,947,466,902,257,885,679,966,534,673,552,668,402,
883,932,913,775,675,048,901,460,631,878,505,484,615,255,926,243,904,742,979,
776,370,237,213,230,541,153,395,263,246,902,866,131,483,648,978,975,139,862,
107,706,679,046,104,222,868,093,640,446,922,868,887,829,280,720,128,444,161,
906,353,153,948,053,604,892,315,022,435,702,897,819,801,452,687,050,509,365,
053,389,577,433,708,549,653,741,683,886,889,128,941,604,552,848,990,065,781,
873,131,031,073,844,925,092,976,493,424,495,850,966,368,488,322,695,155,586,
719,952,394,186,797,884,594,973,542,503,143,442,743,362,065,796,661,689,814,
224,587,520,875,732,702,057,863,051,780,691,536,682,302,750,966,332,716,682,
765,138,010,477,076,348,711,059,442,881,886,492,808,256,075,465,741,562,652,
381,657,970,556,180,157,183,928,609,024,715,247,646,199,312,272,383,324,450,
996,009,410,977,530,896,371,989,466,878,796,469,994,431,307,971,751,992,767,
812,386,514,912,937,131,984,502,396,038,934,529,605,633,527,950,814,053,076,
019,222,545,874,704,880,401,179,663,200,584,400,242,877,448,339,463,322,662,
806,031,532,244,888,057,150,485,377,293,686,478,686,258,748,055,467,026,161,
994,323,889,343,217,205,521,455,879,968,251,683,886,004,584,664,732,995,460,
647,218,203,852,130,192,115,333,642,127,621,402,697,537,538,428,955,149,754,
601,050,186,136,752,292,885,731,350,749,156,053,287,014,145,943,804,772,645,
590,303,011,711,934,916,512,099,336,873,809,072,748,258,748,890,945,898,327,
359,108,254,723,318,430,773,709,700,359,628,519,111,168,501,959,914,088,477,
434,212,246,525,637,897,124,638,919,097,631,571,655,915,824,438,572,163,209,
222,266,002,100,359,548,982,553,114,737,543,542,981,635,119,493,617,834,965,
542,244,484,581,175,997,142,820,464,663,378,243,868,043,722,880,161,793,352,
379,759,238,822,353,386,343,737,626,845,313,687,020,054,281,732,705,933,172,
233,265,850,274,856,639,579,710,995,023,282,727,143,515,857,499,052,759,310,
531,817,373,472,502,003,672,530,229,477,330,490,798,151,320,556,184,434,717,
043,586,079,592,941,143,984,780,406,141,780,376,805,074,803,455,575,126,603,
960,975,177,316,071,281,944,783,847,257,204,033,271,106,277,545,666,621,394,
348,422,488,750,014,637,753,128,612,148,199,301,040,255,340,522,802,452,583,
847,842,224,470,059,496,166,206,141,233,548,116,285,415,514,727,913,184,130,
639,262,329,985,353,519,496,834,564,449,530,520,935,812,091,428,959,229,534,
676,640,511,572,533,809,509,167,252,631,365,398,574,575,959,645,186,999,130,
174,066,051,917,754,168,696,618,204,609,545,165,435,029,227,333,164,143,570,
085,886,205,054,804,307,872,293,269,511,549,813,880,267,238,634,961,033,875,
939,607,155,241,608,235,446,764,883,227,242,949,749,707,086,855,636,014,292,
868,657,372,755,895,366,360,312,615,224,432,387,442,734,256,687,510,371,777,
214,521,252,783,717,266,383,777,378,481,781,818,142,606,192,183,932,362,392,
933,328,363,868,538,775,634,851,829,303,074,893,761,324,505,809,954,085,786,
937,774,538,771,526,337,039,052,231,209,231,872,739,747,763,344,006,505,645,
171,333,573,950,720,252,376,320,569,124,300,410,084,996,204,887,266,602,774,
065,116,848,803,238,900,697,139,070,917,703,945,869,970,993,748,344,864,324,
492,594,357,111,183,815,352,231,305,171,111,414,649,260,032,808,076,776,499,
847,296,720,552,160,509,210,726,112,038,709,877,740,076,952,706,369,515,614,
674,828,876,181,265,885,492,769,180,023,403,946,052,760,290,306,429,877,038,
759,582,607,233,557,596,916,910,997,884,095,084,644,254,030,128,408,746,615,
852,440,647,027,894,767,353,832,713,864,099,727,456,440,996,620,054,118,760,
538,383,648,229,655,718,303,198,801,815,832,568,569,493,975,458,344,011,451,
807,127,689,966,332,958,373,040,096,138,813,677,495,337,430,804,303,199,584,
033,184,238,054,166,886,761,987,892,038,066,047,596,908,340,893,192,296,796,
255,304,874,246,337,153,617,287,328,494,656,603,424,915,881,637,696,455,150,
412,218,702,647,753,999,760,250,752,522,413,267,341,851,718,371,905,505,286,
502,200,576,269,199,426,370,095,066,106,787,655,277,845,194,114,255,188,717,
653,974,047,429,753,371,361,237,402,151,481,393,980,190,508,560,572,742,464,
929,715,549,855,897,148,954,139,930,968,769,630,743,244,146,830,540,209,369,
841,414,902,877,941,759,264,399,207,607,614,129,808,772,788,763,219,869,301,
425,671,423,774,161,453,314,745,546,878,594,979,820,700,645,301,462,953,418,
139,213,463,660,445,402,176,062,259,252,265,149,445,001,875,114,893,739,967,
779,063,871,131,973,294,850,776,067,341,301,154,519,787,413,380,274,771,982,
919,990,418,391,989,083,480,497,832,720,327,893,588,389,655,615,882,822,872,
877,940,459,408,794,902,974,753,360,450,148,783,265,079,298,319,513,448,629,
390,392,861,928,328,833,993,643,342,883,271,310,003,622,571,880,846,776,057,
802,447,371,254,205,311,865,262,078,963,748,801,387,915,027,450,633,359,865,
196,286,804,491,064,843,460,825,369,166,126,706,476,706,489,317,910,238,324,
522,988,989,091,241,432,678,881,898,888,280,189,101,977,472,160,454,708,075,
571,444,531,182,031,715,574,089,248,146,798,197,397,896,709,025,516,250,108,
986,436,592,485,217,715,347,031,383,436,373,246,367,218,318,972,746,578,877,
364,614,840,521,798,634,343,206,795,534,098,669,328,892,540,510,935,448,477,
581,833,511,299,753,836,646,290,887,464,616,411,104,257,867,753,254,903,466,
419,405,449,724,437,315,629,011,103,408,429,738,633,342,911,573,123,820,505,
832,965,631,751,969,159,765,786,066,593,486,345,056,781,827,641,868,351,687,
419,977,700,393,948,476,961,488,949,106,321,175,139,486,639,605,499,747,483,
911,028,362,809,637,588,574,836,873,633,649,341,736,191,748,131,496,606,508,
119,677,729,044,551,948,421,385,442,729,515,288,229,398,261,036,103,759,088,
214,658,988,936,934,267,270,236,984,479,643,774,022,625,918,593,695,079,689,
139,396,350,453,797,719,027,132,203,643,182,649,242,803,052,165,953,468,909,
279,955,075,724,472,594,579,138,583,558,642,107,154,480,004,405,669,298,549,
166,254,764,579,371,512,826,783,360,240,189,505,443,369,920,382,075,786,322,
094,495,928,701,581,571,697,282,177,767,549,002,158,823,786,942,038,256,646,
333,499,439,019,730,713,689,437,728,384,411,362,003,894,604,656,676,439,707,
313,905,891,742,204,639,247,443,835,569,448,461,731,974,091,765,111,316,595,
351,829,899,977,317,672,160,261,343,452,589,160,029,093,215,998,064,249,572,
873,382,163,180,047,612,427,471,252,700,215,414,295,132,690,114,322,213,327,
137,112,236,065,448,453,949,357,754,031,601,625,203,790,579,557,887,112,523,
409,568,760,127,517,272,041,329,888,215,041,602,619,385,681,200,020,114,257,
893,748,476,556,301,650,640,439,174,605,147,748,784,576,755,316,269,250,819,
722,797,052,099,060,114,157,309,193,267,280,337,141,847,455,133,135,038,347,
602,175,014,826,589,534,071,888,255,119,062,462,905,650,539,430,639,928,196,
980,968,524,860,300,242,256,301,462,450,120,626,624,605,581,860,078,182,031,
617,237,386,509,327,009,478,924,543,643,266,889,467,881,878,480,683,292,988,
507,428,558,512,058,025,200,334,175,280,507,428,858,630,039,817,793,038,236,
215,467,128,886,799,544,901,451,900,747,056,302,659,512,428,492,218,199,200,
992,579,725,111,438,993,905,330,658,558,270,223,133,470,601,703,514,940,696,
006,958,602,864,661,849,792,157,457,960,156,817,433,657,417,765,667,689,887,
704,110,699,445,141,713,692,801,894,541,125,092,714,515,434,451,778,557,454,
690,079,300,008,641,209,437,634,700,750,597,438,001,063,323,228,263,548,311,
107,663,379,760,235,331,823,799,872,261,932,272,035,649,709,741,502,982,818,
804,761,758,744,868,050,076,038,000,076,717,430,906,640,859,783,896,152,601,
996,756,643,143,403,827,137,617,352,378,883,243,728,730,916,909,521,888,825,
259,795,728,461,960,807,017,946,409,895,651,468,745,401,519,457,160,491,278,
438,191,534,751,954,911,460,985,142,974,872,134,706,100,098,109,700,639,806,
935,912,195,432,473,937,753,293,828,870,753,041,611,514,756,947,340,754,034,
676,155,757,015,305,488,982,070,005,823,650,697,499,688,331,082,563,066,996,
518,079,979,301,913,466,745,724,233,560,929,464,098,331,969,567,576,517,012,
644,880,293,013,258,095,489,981,226,710,290,696,562,824,263,612,572,423,698,
611,835,659,717,600,703,327,952,935,469,061,624,567,054,189,933,789,921,516,
010,408,288,195,228,616,218,781,716,050,880,957,695,233,708,634,318,423,505,
833,120,386,039,774,183,432,486,811,573,651,436,985,917,560,907,606,038,638,
654,135,476,840,517,775,948,570,814,022,679,617,232,446,207,483,301,242,791,
794,674,696,547,420,975,680,748,855,457,951,102,882,890,623,637,542,533,806,
067,162,153,037,867,234,914,413,914,617,531,844,798,786,998,969,862,396,748,
569,747,282,143,274,081,697,796,739,615,661,100,831,650,310,355,414,685,091,
072,859,919,135,347,447,528,233,747,704,668,796,543,156,636,101,680,210,866,
448,955,948,559,429,421,178,632,053,959,505,221,791,496,652,436,032,202,957,
969,511,987,659,089,756,160,278,121,104,053,830,995,407,832,956,493,438,909,
855,151,131,257,478,010,720,013,359,581,457,106,152,440,906,685,317,054,564,
360,545,827,983,442,348,447,368,358,999,898,114,154,682,293,926,481,053,295,
995,629,066,580,434,225,357,707,143,616,028,932,191,414,934,039,140,029,233,
162,877,797,463,563,261,109,389,067,584,775,771,651,135,471,054,045,205,377,
741,566,103,350,115,898,274,060,935,893,537,199,815,883,197,939,123,447,918,
035,179,117,807,892,519,340,529,559,555,188,608,024,663,572,295,403,597,963,
146,534,120,105,589,837,330,170,374,947,262,172,303,381,490,189,622,515,157,
605,873,145,950,235,653,514,412,854,505,985,088,776,556,473,507,244,770,728,
304,564,910,012,495,262,048,372,208,329,525,187,621,561,445,157,983,566,257,
405,703,994,810,026,227,428,843,816,497,688,606,851,808,132,081,863,819,870,
880,973,527,418,174,066,935,916,535,066,449,146,233,766,857,355,017,063,826,
173,290,283,534,391,992,656,506,200,948,609,599,623,005,087,914,752,135,750,
319,340,576,795,323,387,257,661,840,960,733,715,200,496,920,918,209,958,400,
615,133,476,679,153,118,877,348,123,229,969,394,728,725,754,531,186,745,605,
591,777,651,421,001,741,463,199,808,671,878,894,101,307,407,328,647,332,776,
325,507,683,081,133,083,755,408,508,744,017,329,524,234,635,757,259,304,283,
642,464,480,549,650,629,855,996,948,922,070,215,715,261,284,409,507,818,990,
175,265,011,280,122,866,592,034,603,445,948,409,786,916,050,116,850,478,191,
801,922,547,285,212,500,177,901,281,409,269,000,712,356,264,131,530,264,483,
271,242,858,833,255,816,313,097,845,393,708,692,511,915,977,434,668,261,186,
634,550,308,794,977,883,086,042,446,323,949,060,403,369,108,325,787,390,513,
779,015,327,902,642,611,131,652,720,001,726,098,842,804,611,554,562,471,655,
729,694,786,236,134,712,371,386,756,936,280,710,023,680,774,017,968,042,782,
882,554,916,596,212,768,457,295,581,476,195,890,127,831,674,179,426,868,187,
564,856,905,707,474,874,365,759,650,135,709,908,009,908,888,874,255,036,794,
611,551,069,936,730,004,192,508,456,482,465,626,508,930,317,985,706,584,791,
282,170,574,526,252,416,232,899,682,757,761,895,220,542,841,809,563,376,871,
069,117,927,490,800,427,800,140,769,264,753,200,509,038,282,507,744,876,247,
082,658,116,335,165,844,748,425,829,232,981,135,733,245,537,215,040,684,806,
589,613,055,731,679,275,858,593,132,004,253,720,803,284,002,723,207,530,101,
488,054,110,204,348,489,792,334,229,324,299,312,486,856,180,266,695,907,306,
481,860,377,750,661,293,374,994,184,633,753,573,221,933,672,985,912,560,149,
345,849,008,788,847,523,617,420,028,650,291,196,452,277,890,880,413,025,075,
029,262,127,200,655,448,327,493,673,171,037,191,160,093,261,546,834,789,185,
144,882,465,140,749,997,063,840,534,054,164,762,638,902,084,838,841,259,145,
036,662,412,876,553,042,214,029,845,956,747,219,555,147,588,954,229,113,392,
166,520,772,171,492,539,852,304,967,705,663,260,734,805,608,622,220,578,463,
657,590,272,888,083,713,062,129,462,512,144,000,467,500,209,877,698,951,809,
150,496,906,856,971,546,006,604,648,030,708,167,369,084,686,546,065,947,179,
412,644,604,008,567,038,461,097,084,762,073,021,813,656,020,243,448,826,184,
068,238,037,879,856,699,800,236,295,411,531,608,913,280,392,418,100,964,365,
356,257,882,113,779,646,760,458,991,597,999,072,432,059,829,202,936,314,774,
451,170,237,749,378,813,785,184,706,744,063,426,348,017,683,968,452,040,943,
438,031,317,738,495,434,363,888,676,025,234,851,643,710,613,964,874,415,473,
450,756,383,974,671,304,914,882,022,053,658,333,426,306,748,128,183,695,552,
174,868,078,345,956,902,147,333,707,967,409,640,734,170,772,672,315,539,272,
435,841,401,639,628,229,747,936,266,881,931,155,795,847,976,181,804,949,723,
097,499,474,296,538,885,768,059,799,590,813,305,203,231,221,048,440,701,383,
439,301,695,515,114,426,066,730,682,786,574,104,130,300,090,253,172,524,404,
084,215,413,191,288,782,754,456,478,136,644,693,840,303,619,667,487,040,262,
210,595,631,830,558,941,032,688,562,514,202,822,297,295,517,779,914,442,384,
332,210,265,687,478,024,837,821,724,280,265,677,429,365,792,005,212,539,007,
823,519,867,137,414,589,656,661,102,274,885,329,188,810,616,550,994,490,635,
183,110,120,733,621,600,831,818,434,431,203,273,294,402,993,828,274,208,923,
425,303,753,735,229,194,775,027,124,932,998,647,878,168,572,947,131,201,959,
138,954,659,563,663,007,385,249,199,800,899,642,589,698,210,135,446,647,147,
423,958,724,412,052,009,877,291,623,197,634,670,998,338,844,357,088,465,920,
556,901,985,034,029,754,583,051,858,941,593,372,227,327,131,110,069,433,391,
570,452,798,040,642,927,042,761,050,807,612,670,494,695,524,735,513,477,465,
121,542,143,986,817,190,692,570,996,173,888,167,714,735,357,284,944,575,543,
402,062,189,822,212,383,411,712,709,200,271,232,080,224,868,159,508,707,270,
460,889,056,441,123,546,145,938,304,522,928,856,047,932,616,736,147,102,684,
499,927,857,951,728,188,719,432,965,589,629,459,635,460,368,823,058,469,256,
358,826,798,629,308,367,404,496,101,817,651,925,775,753,708,325,761,893,166,
338,001,777,236,490,774,265,495,590,389,567,313,985,538,198,021,546,733,528,
554,952,398,642,980,560,516,932,207,532,903,513,273,529,153,759,831,321,742,
070,758,913,749,906,525,774,986,761,532,788,025,872,513,935,880,313,415,065,
093,789,079,770,932,985,981,239,035,904,507,425,407,729,257,261,742,635,870,
200,509,704,865,528,842,608,690,411,822,475,461,910,710,895,736,023,032,942,
899,006,602,187,655,467,908,367,704,634,066,122,209,954,745,214,744,344,496,
749,981,945,891,001,330,264,901,866,490,606,430,816,673,403,691,883,646,290,
271,533,069,017,848,718,940,818,790,986,438,427,558,484,461,157,223,329,067,
567,384,704,207,103,411,097,278,148,521,868,068,891,648,622,918,450,603,938,
387,283,584,731,594,937,197,343,581,112,001,767,950,219,604,476,722,651,652,
371,332,467,152,879,589,175,834,361,149,667,849,891,515,626,897,639,183,001,
741,987,490,439,561,581,605,127,599,440,930,510,190,357,940,101,395,247,276,
439,533,700,895,201,217,262,178,056,804,647,752,225,072,766,910,225,402,262,
306,345,536,475,424,053,654,540,450,048,908,899,107,015,200,483,994,749,125,
217,732,088,359,403,156,045,898,930,659,592,934,211,875,262,374,005,292,786,
019,971,974,768,459,750,177,129,378,972,011,346,640,448,741,641,342,019,340,
712,600,189,202,808,521,041,461,414,832,484,811,360,906,804,140,594,256,154,
383,232,561,829,658,061,193,185,369,352,306,504,083,947,752,201,943,957,010,
355,382,383,622,256,989,638,383,742,169,303,246,636,753,482,338,128,177,845,
037,233,249,378,337,715,239,010,978,557,823,265,061,172,565,274,713,005,989,
411,665,867,067,838,485,491,335,666,759,820,779,010,743,221,487,836,845,904,
349,405,671,444,314,871,265,614,593,432,250,099,210,497,264,925,970,015,794,
140,622,007,302,823,262,780,230,612,162,941,451,088,075,948,184,912,407,851,
327,719,957,004,214,040,814,817,792,228,248,497,034,486,198,179,313,719,188,
904,349,637,891,536,675,520,463,681,291,677,955,319,729,839,206,401,728,692,
282,487,310,178,699,139,456,357,728,918,825,856,722,098,800,586,710,962,121,
576,305,300,024,615,646,174,251,519,166,823,260,706,070,605,192,907,686,730,
532,482,004,583,281,258,816,913,677,781,153,331,763,903,552,959,623,409,747,
210,903,198,283,757,918,424,452,075,258,072,704,710,748,850,339,674,137,384,
248,590,317,268,160,292,439,437,088,536,190,750,709,204,216,720,882,464,707,
167,030,829,343,033,739,557,190,046,225,903,101,384,585,690,485,675,905,630,
514,865,374,171,584,492,717,662,339,149,260,431,024,757,699,388,794,625,033,
412,172,686,282,558,369,574,745,226,664,282,060,022,404,047,033,372,986,449,
648,018,175,733,648,130,349,449,309,622,001,907,057,548,095,072,554,095,406,
890,069,126,829,382,359,087,785,098,536,477,363,627,697,777,042,422,188,399,
867,350,779,109,737,223,152,742,751,292,514,573,438,545,157,963,562,525,505,
150,253,744,139,398,752,272,792,177,004,562,101,458,153,967,165,380,452,881,
745,834,826,979,886,722,702,247,734,855,701,850,146,825,469,388,387,362,491,
455,198,238,576,451,660,868,243,493,644,378,133,605,818,153,368,477,654,016,
891,923,831,450,421,642,670,007,721,678,541,973,837,825,344,689,271,618,866,
348,980,987,178,926,172,328,271,119,487,281,127,864,644,512,681,752,572,291,
903,648,654,169,045,962,022,768,710,768,792,216,257,023,165,741,637,546,502,
740,771,681,038,821,444,697,285,527,889,460,177,686,639,485,525,949,935,526,
043,084,948,200,654,979,163,827,219,728,634,842,359,628,405,840,917,291,068,
912,157,870,281,508,242,365,793,652,736,545,784,348,399,024,266,369,664,421,
238,865,872,039,356,341,557,076,937,516,286,920,758,318,842,251,694,782,270,
868,783,065,715,928,995,687,671,714,337,120,983,885,032,002,258,100,857,372,
301,662,333,668,408,892,091,416,586,250,279,163,531,724,749,645,852,572,872,
354,618,641,974,356,544,907,438,092,948,407,769,923,667,768,543,024,718,853,
679,840,097,795,008,537,218,390,117,251,850,423,715,027,588,907,413,864,558,
566,543,386,085,534,153,330,744,534,994,373,882,713,036,913,943,665,617,238,
982,366,899,782,065,347,999,703,233,491,771,541,824,327,607,622,028,774,316,
660,987,680,221,797,847,102,137,526,096,427,311,211,792,241,454,481,806,225,
253,934,935,944,110,212,544,917,333,405,496,231,020,635,916,436,409,009,295,
805,835,221,171,782,945,083,936,433,027,891,665,031,055,263,720,403,684,593,
800,651,536,586,044,757,565,206,104,106,864,238,385,125,782,202,001,807,205,
409,659,041,722,575,500,535,148,824,291,669,987,579,483,883,029,631,277,473,
366,698,056,998,882,072,012,727,498,603,217,016,640,668,792,594,971,689,200,
158,708,992,176,209,541,620,913,763,450,144,847,673,715,131,688,732,192,307,
671,707,557,941,494,120,005,251,738,176,722,296,282,860,120,180,982,587,805,
173,751,061,033,456,692,039,883,396,463,075,758,174,559,897,955,918,966,187,
330,153,990,066,520,149,537,644,858,612,871,485,406,770,882,572,191,760,694,
602,895,152,758,034,812,083,403,887,410,255,716,277,466,328,079,556,753,865,
376,449,860,648,298,937,866,127,983,835,660,610,872,530,520,648,386,620,211,
737,284,414,441,165,006,166,440,362,625,379,830,155,820,550,753,283,025,269,
564,784,261,279,401,797,483,323,657,629,678,515,035,104,027,782,685,848,107,
527,341,141,620,575,647,256,400,820,245,108,461,249,719,148,812,280,620,022,
229,222,426,696,676,703,530,143,116,592,781,319,327,140,413,685,203,568,122,
873,174,997,050,439,332,211,172,278,773,407,800,428,002,777,686,342,398,054,
807,489,118,223,015,470,101,383,032,924,521,345,932,372,838,787,654,336,339,
743,198,279,986,105,084,341,851,936,562,854,134,905,339,472,743,014,822,114,
118,201,712,396,251,032,998,625,882,155,846,307,999,198,911,427,717,513,703,
781,643,116,900,124,088,833,658,886,098,285,725,367,331,327,342,252,882,863,
117,180,717,242,491,813,269,547,501,972,726,042,157,731,114,786,757,580,635,
498,001,686,018,236,557,542,492,541,398,440,158,318,775,991,269,882,433,694,
320,086,191,109,691,253,427,245,346,296,588,919,738,255,081,517,622,738,435,
472,887,918,724,054,776,174,858,591,488,946,365,201,377,236,047,739,134,071,
095,543,851,513,483,838,676,785,272,574,551,133,699,010,761,085,189,114,401,
535,463,506,540,074,330,479,377,681,879,725,320,858,589,741,853,981,476,258,
323,645,305,357,236,580,191,359,728,894,040,074,972,319,195,660,303,692,419,
953,695,550,701,797,213,266,258,368,210,131,930,759,948,899,397,803,590,167,
629,998,504,868,570,491,350,626,133,990,835,128,658,901,250,491,493,471,368,
212,757,324,509,890,515,654,622,503,056,718,071,426,718,115,978,284,966,385,
626,816,098,953,359,447,197,839,133,044,861,646,660,349,543,386,254,580,105,
558,558,045,187,631,883,548,131,582,664,935,016,084,817,433,145,070,217,581,
317,229,485,722,141,919,866,814,726,215,423,664,628,638,689,237,671,036,593,
367,694,649,292,382,267,218,028,071,809,912,982,631,502,016,337,714,871,502,
926,856,118,435,293,471,935,231,898,938,665,532,529,092,258,178,112,294,541,
699,074,560,109,455,036,453,687,561,030,438,449,436,737,003,651,165,983,250,
073,552,397,931,327,759,703,515,864,350,376,778,117,437,911,303,517,800,031,
729,371,271,026,956,770,807,447,925,809,339,760,902,568,107,343,105,136,790,
338,467,614,946,920,049,569,409,849,677,547,621,086,608,998,544,915,979,682,
944,811,601,734,483,817,620,367,412,468,211,045,835,991,916,848,161,158,479,
661,252,614,424,005,581,073,053,514,520,012,286,907,642,516,759,080,200,439,
660,779,075,046,586,357,576,756,685,790,873,859,501,891,307,892,613,977,511,
774,122,680,823,748,463,167,675,785,679,703,285,390,524,575,482,218,512,730,
570,904,755,601,958,516,860,155,791,403,203,101,526,401,732,085,996,549,351,
621,784,586,787,449,662,210,447,573,745,259,917,965,687,184,105,952,118,986,
446,328,385,218,448,780,264,406,744,426,233,777,513,118,710,079,493,661,739,
163,284,327,089,957,872,497,645,788,870,152,345,103,031,425,066,318,384,236,
536,659,726,192,738,104,260,319,765,013,242,063,725,293,752,375,296,494,304,
755,505,750,166,937,242,714,093,249,700,320,099,731,419,565,497,593,575,251,
950,225,237,054,042,433,398,556,824,107,474,562,722,617,013,801,306,070,151,
581,835,741,715,499,837,542,849,813,100,486,171,469,592,991,084,053,209,999,
496,201,898,226,428,217,050,952,116,032,060,346,515,067,647,842,634,395,816,
318,389,615,305,901,431,233,369,298,885,226,992,761,279,740,524,670,065,567,
616,543,629,486,295,186,170,405,112,698,904,907,853,738,942,597,114,046,995,
374,315,592,435,638,398,867,975,552,950,041,142,739,096,672,036,943,078,609,
309,759,223,906,063,758,718,303,179,631,335,573,563,509,490,462,704,332,091,
064,447,158,205,161,553,797,258,204,054,091,058,832,775,623,646,727,182,755,
135,100,156,820,174,330,101,117,042,527,368,173,614,496,304,193,595,714,203,
898,772,574,399,246,339,530,711,222,930,463,389,231,918,294,304,937,727,369,
725,679,472,101,939,670,612,041,342,453,699,012,423,069,974,616,211,776,290,
192,883,159,123,999,801,532,608,892,612,327,636,919,329,761,568,363,008,144,
660,718,794,851,488,359,393,340,098,993,498,649,577,039,476,148,124,974,785,
394,341,326,186,667,161,152,549,826,194,099,020,875,386,021,716,664,398,668,
331,390,111,332,082,094,067,431,888,451,131,633,062,982,280,176,793,084,226,
643,692,140,747,153,939,718,099,761,728,287,588,430,339,761,309,632,153,759,
250,631,842,515,582,564,714,045,148,516,898,143,408,407,299,685,131,007,239,
708,708,810,899,898,492,331,593,170,825,021,646,570,614,437,020,601,928,772,
192,690,813,064,074,520,101,647,846,970,557,773,624,873,174,730,902,536,286,
627,862,118,231,509,979,684,143,991,367,304,550,351,924,753,579,511,171,576,
700,050,753,945,678,064,054,663,570,388,991,893,619,651,977,722,846,762,223,
639,205,542,452,027,407,222,155,445,391,709,958,225,240,006,227,858,803,379,
104,933,684,739,118,392,176,091,235,077,332,045,596,560,493,758,256,005,234,
443,603,894,921,429,388,262,939,156,454,927,864,010,809,511,416,496,314,046,
275,996,697,611,838,552,050,528,588,218,362,744,283,889,660,194,691,959,600,
078,153,591,289,834,604,260,217,945,691,981,810,695,190,456,257,061,449,697,
374,903,145,861,568,306,578,922,915,859,432,379,966,660,018,496,634,241,670,
334,469,449,337,560,893,807,123,905,468,124,112,093,225,904,339,180,634,911,
662,994,127,699,187,130,155,157,573,521,463,713,399,638,396,234,468,116,385,
295,993,075,233,258,932,759,125,128,745,074,447,616,304,985,539,367,869,482,
278,138,070,417,434,962,912,749,980,737,033,414,723,887,161,867,684,217,073,
412,838,097,214,755,952,065,418,790,791,828,881,805,113,993,272,689,835,889,
515,974,413,533,037,265,917,563,958,994,616,977,096,574,846,628,940,289,712,
666,171,893,533,551,214,923,379,020,897,500,527,964,569,201,477,323,814,210,
579,348,332,713,543,757,141,499,836,906,361,602,479,115,457,366,850,092,995,
755,978,246,207,658,597,155,813,491,211,918,826,644,392,708,764,767,653,574,
024,857,333,898,288,926,969,468,465,859,271,794,594,305,907,196,020,369,979,
869,914,555,854,372,679,260,238,769,199,359,461,023,344,652,918,235,693,119,
284,044,121,719,732,810,051,312,706,730,900,348,139,888,228,730,929,466,033,
800,331,795,365,863,538,250,617,135,808,173,155,421,985,780,353,267,151,484,
603,745,683,079,549,111,520,234,669,235,745,214,426,993,290,036,718,762,126,
349,240,317,284,015,402,685,594,953,622,196,646,585,099,585,661,310,613,938,
233,308,722,514,890,153,907,317,717,022,672,073,419,146,497,651,626,399,164,
496,788,282,533,173,003,820,731,548,812,335,457,607,463,706,356,358,982,527,
656,491,648,097,367,372,805,949,431,553,406,766,960,848,077,686,585,426,413,
129,918,306,624,463,085,835,490,787,647,514,945,432,430,830,351,968,074,261,
822,108,037,721,644,304,984,093,712,070,358,318,064,885,229,088,587,807,733,
856,979,312,964,999,296,016,872,479,654,531,984,906,475,847,683,949,483,031,
540,549,653,727,381,821,306,492,751,079,964,736,031,475,278,800,051,244,102,
849,401,923,647,116,911,070,441,228,849,761,899,408,794,182,834,970,646,097,
817,578,587,279,689,124,997,882,476,342,007,775,783,980,853,975,094,989,411,
206,414,875,781,614,800,917,426,052,176,220,002,463,712,679,453,924,151,256,
213,346,664,813,854,097,827,742,596,168,576,166,754,012,774,470,646,372,992,
836,031,892,680,312,090,270,334,864,338,963,423,764,192,819,994,890,935,417,
749,380,742,222,769,495,782,720,613,709,769,341,578,134,995,067,581,596,594,
344,126,034,343,749,855,878,125,635,221,594,573,914,269,104,332,201,521,541,
637,072,296,752,688,924,102,351,867,086,036,325,096,653,546,842,308,026,234,
620,039,337,560,299,302,987,267,136,785,805,287,458,566,266,301,124,836,099,
670,686,199,773,223,118,697,034,955,294,556,373,440,045,133,961,343,211,568,
053,838,065,039,878,061,048,217,156,540,587,743,869,537,126,323,852,075,994,
112,979,365,156,141,722,837,883,704,200,153,418,886,250,801,499,001,046,996,
205,619,851,260,508,888,090,368,654,021,739,495,145,897,483,705,988,612,807,
916,160,608,528,369,545,714,831,788,849,628,647,563,510,256,320,213,150,331,
013,804,133,854,789,503,139,677,929,786,829,881,403,403,141,043,662,368,737,
103,406,094,168,574,594,831,971,161,433,331,480,455,394,497,507,580,657,871,
319,682,911,175,550,942,771,931,408,176,753,896,740,047,025,423,157,337,848,
344,789,147,410,023,490,833,777,773,612,206,051,626,803,379,433,100,291,458,
978,189,022,276,546,154,415,368,539,232,634,839,301,829,408,021,175,071,724,
763,019,394,232,512,416,119,337,337,050,221,045,443,684,237,168,180,015,732,
341,418,185,708,961,142,323,919,397,682,119,902,066,509,331,131,058,083,756,
313,777,100,171,437,977,160,091,240,382,314,649,066,335,468,859,185,177,444,
324,804,988,750,557,032,801,658,542,264,844,508,520,527,379,858,320,086,258,
473,206,892,804,526,461,703,200,223,235,843,971,584,927,088,244,438,672,553,
505,026,885,750,856,843,569,694,437,162,725,519,634,164,620,971,695,448,759,
423,561,814,160,703,775,408,431,419,378,657,000,245,385,711,828,044,751,642,
052,624,542,353,717,816,160,353,328,100,348,296,003,937,274,648,888,763,574,
227,074,463,694,887,313,120,915,994,750,750,626,284,145,484,347,113,262,682,
919,309,344,494,113,360,728,901,846,462,775,260,871,249,900,724,384,213,873,
135,595,367,581,768,096,684,566,890,180,366,236,137,218,603,654,685,257,162,
127,294,600,216,647,423,510,071,479,514,233,396,982,914,152,910,758,230,057,
565,795,627,401,613,201,900,848,681,594,854,974,009,591,174,800,344,399,315,
936,397,349,690,140,174,109,649,219,679,198,343,879,274,984,529,688,675,405,
326,168,466,355,284,387,614,035,864,484,558,394,878,203,029,582,265,614,517,
921,325,529,061,948,222,320,683,164,894,913,258,903,582,708,769,197,685,632,
793,482,662,507,407,309,485,291,573,553,091,759,539,940,350,350,877,224,535,
504,323,745,951,828,288,900,106,213,240,664,869,975,060,466,910,244,349,174,
432,881,623,383,379,600,247,516,504,626,287,927,145,176,539,859,288,874,205,
577,821,693,447,548,668,602,881,350,548,798,850,100,466,425,312,939,826,565,
203,015,324,761,075,346,463,515,707,726,366,680,360,773,651,906,928,441,244,
293,916,561,695,113,380,104,048,852,162,244,356,627,441,398,255,021,161,201,
994,448,343,934,503,124,530,394,900,440,119,717,006,028,486,867,921,468,763,
547,809,867,963,754,932,185,085,589,119,360,243,368,555,443,119,868,780,364,
073,251,272,285,124,990,979,618,672,954,666,160,559,118,176,424,288,102,878,
623,747,756,918,827,137,612,982,787,184,355,146,323,060,554,978,071,288,786,
223,147,873,925,212,386,880,941,453,162,646,281,993,485,240,358,311,019,698,
576,721,690,356,623,508,900,669,622,266,824,153,457,993,011,971,750,843,266,
394,082,841,983,196,553,330,747,467,287,455,512,938,464,734,304,345,946,123,
990,255,701,863,130,258,081,290,857,517,532,684,205,242,172,251,486,842,551,
745,257,991,187,288,512,493,781,143,004,386,675,159,277,594,811,602,285,287,
435,693,728,707,065,704,551,707,259,915,140,574,540,137,133,456,352,839,867,
101,979,364,658,687,870,429,419,902,002,511,546,397,586,552,698,964,032,140,
568,682,845,479,850,783,166,156,234,728,768,217,538,124,326,896,417,566,321,
052,099,032,498,446,811,698,442,639,425,968,614,725,878,048,960,741,205,850,
009,610,565,681,758,671,033,396,195,405,720,909,763,494,341,043,796,588,664,
832,130,140,656,710,255,574,209,857,659,063,950,624,739,677,233,231,254,906,
564,505,671,221,667,078,584,213,809,717,261,646,784,283,550,635,538,929,180,
588,605,993,014,568,175,713,060,880,983,296,711,079,036,473,950,650,115,579,
268,379,583,147,131,925,753,251,364,415,187,252,965,075,265,575,156,267,327,
387,993,269,912,682,117,265,802,386,546,618,035,470,783,597,803,314,988,785,
638,414,281,851,575,111,681,065,171,577,406,719,396,290,199,223,361,654,598,
664,641,104,858,558,142,376,123,601,969,680,532,829,079,119,828,544,651,121,
453,580,229,098,054,504,879,671,637,493,639,371,191,100,409,464,314,614,170,
409,174,216,400,460,770,135,391,196,391,465,318,049,851,187,433,466,809,281,
088,365,700,875,363,912,824,928,847,386,200,865,049,164,353,516,356,530,755,
941,365,837,491,826,061,125,806,112,359,074,489,353,998,804,006,281,375,691,
244,678,639,477,429,597,293,680,296,143,025,788,984,149,205,589,622,683,698,
511,715,135,558,325,546,746,975,113,117,700,258,490,667,904,708,975,850,900,
397,023,038,006,284,064,323,732,275,938,098,449,928,986,038,535,578,688,164,
515,312,842,899,738,253,910,286,059,711,246,752,601,756,349,449,807,148,892,
816,085,986,036,219,437,065,782,160,227,303,028,896,270,172,850,788,376,604,
991,004,574,950,186,492,193,266,624,693,255,379,212,436,028,655,578,886,142,
023,215,873,671,503,437,540,621,007,116,973,111,316,124,160,684,696,530,410,
690,886,573,789,422,999,998,464,720,622,572,409,667,417,027,798,750,231,060,
141,116,201,950,044,953,088,962,814,969,176,344,411,202,016,573,792,324,198,
054,185,447,970,395,759,340,585,647,582,678,523,581,537,978,176,578,401,696,
847,222,088,500,891,215,953,460,932,731,298,827,303,302,426,836,563,568,255,
017,049,380,223,921,443,207,807,265,701,574,595,706,036,977,460,712,119,675,
882,423,600,134,165,566,131,532,360,142,102,723,746,696,083,079,237,848,026,
866,604,244,694,715,010,632,292,944,064,941,963,605,934,166,559,565,899,433,
098,782,699,007,034,126,634,496,506,759,201,225,998,213,858,956,788,650,573,
546,020,492,006,771,993,322,680,424,025,442,765,763,798,695,742,946,438,824,
212,062,948,216,919,389,234,570,210,626,445,304,762,953,298,211,334,649,796,
908,907,857,252,828,459,152,961,271,412,183,313,836,397,977,296,879,274,871,
166,896,982,426,892,769,309,460,947,793,753,097,538,800,825,517,025,347,103,
538,810,043,803,537,759,690,489,426,386,756,261,523,596,556,132,900,231,361,
612,106,163,375,758,089,828,502,043,078,812,758,062,317,397,246,358,731,622,
615,699,766,651,901,896,619,546,255,739,160,764,492,148,283,586,778,535,868,
174,198,944,210,226,002,054,882,270,024,286,082,158,085,780,153,361,306,071,
411,585,186,331,684,988,782,569,195,360,652,961,887,358,824,298,561,622,834,
925,390,974,470,382,216,048,240,613,080,439,206,351,641,215,467,614,406,078,
678,184,574,232,388,959,401,540,812,607,882,496,934,426,368,059,319,849,622,
005,975,737,264,503,833,145,086,671,003,878,371,867,502,698,179,021,338,525,
189,609,205,893,602,858,037,841,456,631,553,550,948,690,387,639,644,753,424,
091,083,145,494,411,062,161,533,746,833,031,975,220,762,672,606,951,095,364,
302,006,164,159,193,025,470,189,206,906,552,369,389,151,020,220,356,354,841,
040,772,034,805,245,374,875,868,684,790,065,004,952,331,541,241,963,132,937,
236,876,437,467,258,332,548,370,142,499,293,742,750,785,449,779,625,371,885,
995,917,052,235,996,936,918,408,073,554,729,150,034,317,942,093,232,833,791,
750,724,659,882,098,615,896,632,759,307,280,941,045,950,793,588,770,847,815,
127,784,594,937,397,361,707,025,316,748,536,370,422,228,778,350,295,328,181,
363,795,014,467,771,830,867,535,194,281,232,873,512,971,690,697,359,078,839,
609,036,944,951,005,017,198,853,971,343,232,662,364,503,846,956,832,673,738,
680,525,967,450,722,338,851,948,002,945,684,154,147,208,165,465,199,835,931,
080,959,836,319,200,715,182,394,859,773,190,320,152,252,156,727,523,688,060,
150,867,787,556,616,025,137,708,555,425,275,192,830,397,327,149,038,626,821,
092,969,941,625,858,019,986,252,667,803,699,016,987,156,121,787,470,180,858,
718,383,884,560,503,119,615,148,285,620,914,576,827,637,551,803,003,816,620,
297,764,769,048,567,773,606,780,409,048,194,282,629,926,916,984,656,170,189,
216,663,029,354,632,511,038,924,399,118,838,918,713,654,134,494,913,039,329,
714,810,065,651,872,444,075,176,933,494,300,883,969,791,499,540,810,485,024,
698,466,356,334,101,089,765,684,226,617,497,839,104,803,339,001,736,711,900,
581,809,300,772,093,845,676,311,965,514,208,130,373,435,517,824,057,331,732,
865,974,530,352,375,080,295,814,970,242,906,190,807,482,743,232,568,452,589,
072,218,729,397,868,007,502,176,532,251,660,412,999,852,214,806,023,847,713,
050,073,526,031,873,870,466,128,565,499,673,175,769,843,994,579,930,636,012,
889,491,499,548,722,663,385,733,206,739,289,809,771,580,629,278,725,741,643,
925,965,949,589,677,274,923,144,961,041,326,975,713,826,651,346,664,488,952,
309,084,041,473,563,232,871,337,954,754,570,778,438,065,584,773,965,154,432,
225,295,072,871,253,254,724,699,301,422,858,802,954,326,362,679,721,989,675,
758,526,683,279,833,052,691,971,296,531,667,647,069,498,178,495,484,863,569,
702,658,775,987,149,371,235,403,745,859,809,809,920,866,465,846,742,121,402,
256,592,824,396,266,178,225,929,502,540,373,687,361,396,999,058,550,147,984,
457,720,597,210,367,688,339,313,205,389,652,362,922,989,213,609,814,768,986,
535,349,990,172,547,833,807,250,679,421,750,098,098,648,711,033,287,148,066,
444,969,025,610,744,639,121,010,147,332,073,831,807,231,253,648,127,599,885,
617,120,581,634,899,605,685,105,903,490,910,193,943,837,048,184,829,449,339,
190,111,658,627,768,709,350,126,587,996,578,611,992,078,173,597,374,636,213,
844,168,173,333,711,661,322,016,554,837,436,187,006,561,608,182,284,961,714,
712,944,076,979,735,009,600,007,234,068,990,322,749,897,633,347,261,307,138,
968,558,647,464,156,217,862,328,165,497,678,101,779,152,054,091,041,879,025,
276,213,288,795,652,966,421,778,644,337,678,565,414,963,641,317,515,999,387,
597,919,815,835,484,117,501,904,347,646,209,950,161,929,441,061,948,171,574,
981,116,311,593,993,966,997,564,528,241,410,628,589,133,842,447,659,291,287,
902,349,686,052,516,631,196,607,810,798,868,840,206,591,608,247,136,143,217,
588,831,432,103,830,687,004,034,324,460,776,641,481,062,837,629,209,374,723,
814,519,024,241,629,255,536,801,111,963,698,839,975,542,523,379,438,073,819,
929,314,080,087,532,463,955,134,185,569,922,460,349,183,309,241,269,745,765,
187,028,230,216,626,900,308,413,466,442,579,013,241,018,702,262,216,611,687,
710,838,912,834,648,282,767,054,198,318,953,745,242,494,282,732,582,830,609,
547,045,370,291,969,034,267,035,491,743,805,816,150,507,941,540,044,681,889,
874,886,800,215,645,786,618,812,477,735,655,745,611,899,074,820,464,405,386,
577,537,635,178,578,716,984,711,623,224,878,670,398,751,976,469,485,404,216,
637,100,478,452,068,597,134,332,523,702,060,010,765,252,535,876,339,414,883,
761,204,597,999,589,488,761,320,929,696,955,009,271,537,177,792,897,394,530,
280,946,342,489,409,496,879,196,790,314,696,690,541,389,836,871,059,739,342,
647,581,222,415,526,138,652,035,184,245,619,982,797,802,665,604,735,466,041,
425,954,501,659,034,686,034,722,801,399,191,995,637,412,257,975,309,950,812,
847,151,261,333,817,100,613,565,065,856,265,064,956,576,125,973,475,519,010,
994,484,650,921,785,321,201,144,965,405,579,991,887,682,623,379,635,551,637,
726,397,836,551,786,118,419,794,067,763,045,923,065,496,931,817,184,623,316,
274,058,497,090,252,087,301,091,970,447,444,806,509,733,112,144,763,437,997,
355,105,598,511,015,382,603,143,240,176,542,283,059,046,530,347,754,273,537,
160,862,649,147,728,510,159,927,055,874,466,035,099,825,050,959,157,448,658,
788,795,350,566,126,214,789,703,413,529,719,980,284,555,894,234,770,558,139,
811,648,472,370,741,442,955,429,321,352,199,088,504,183,615,927,994,057,115,
613,987,957,312,681,910,499,499,679,660,297,045,315,752,417,952,229,531,852,
774,396,494,245,859,845,375,953,894,308,462,112,368,628,538,223,556,263,754,
102,084,833,543,106,059,423,707,177,516,687,441,698,476,300,254,895,326,331,
341,751,093,755,855,404,133,570,451,531,585,923,433,646,838,493,654,436,903,
175,022,347,954,034,420,286,879,745,280,528,456,122,751,546,013,411,703,318,
670,778,305,075,437,264,512,146,307,861,257,078,040,948,009,921,582,807,749,
673,996,845,849,863,063,517,621,671,255,754,392,758,251,307,276,868,227,510,
352,916,303,369,549,156,793,669,874,525,836,772,586,888,715,276,637,791,730,
208,929,887,159,053,028,618,547,987,297,628,184,155,539,679,715,751,377,724,
361,691,992,425,808,731,513,323,837,746,527,489,799,811,989,170,290,176,159,
570,585,505,882,865,947,060,154,523,681,898,162,872,198,773,935,330,580,676,
819,701,306,426,612,057,917,900,556,033,380,776,146,412,771,198,982,773,059,
130,710,613,334,345,341,057,683,222,138,981,304,565,687,922,387,868,992,588,
564,772,660,722,026,850,040,977,988,627,855,559,477,634,998,198,905,562,525,
267,795,342,931,520,057,851,730,213,341,599,510,153,992,026,102,427,820,335,
607,518,219,488,244,612,098,380,962,185,190,357,502,677,206,206,281,446,821,
516,854,456,641,054,375,420,355,906,624,317,072,248,789,335,478,700,695,812,
393,303,520,125,727,967,530,999,037,551,091,428,104,716,909,495,172,508,893,
736,079,001,252,666,379,460,086,332,545,794,273,384,586,540,862,161,770,149,
609,287,756,507,288,538,123,277,618,499,499,698,673,391,503,819,767,119,021,
802,444,855,355,997,177,270,328,294,268,932,737,991,034,608,035,760,778,418,
112,741,165,272,485,350,793,938,132,921,420,650,179,707,710,053,482,481,045,
933,072,917,063,892,249,192,411,391,077,476,423,654,950,242,886,537,259,158,
965,745,790,805,903,912,741,853,690,526,419,901,926,418,588,786,655,079,922,
340,162,196,863,616,241,067,848,565,821,388,376,270,004,514,903,808,294,271,
693,782,983,801,124,871,425,390,654,390,227,617,536,655,102,678,113,156,725,
927,130,147,583,377,983,763,969,185,246,585,963,543,655,541,416,007,033,905,
798,036,618,526,673,972,460,983,260,628,616,963,993,772,357,090,001,150,562,
363,613,927,791,470,333,824,176,905,533,591,978,296,635,910,189,346,825,808,
810,887,695,495,659,217,549,331,432,270,449,023,215,525,560,712,472,444,227,
160,189,803,401,453,038,286,212,607,756,059,990,190,105,252,883,397,342,629,
086,745,400,023,252,252,681,082,829,441,886,644,097,278,706,600,363,443,371,
740,962,234,806,129,685,747,326,898,565,490,063,532,911,547,920,836,875,844,
516,619,295,116,513,335,181,766,709,117,535,609,835,706,763,255,363,555,377,
434,750,533,626,689,389,788,895,942,032,352,539,241,896,857,941,805,744,306,
341,778,328,877,865,069,007,087,992,786,106,940,756,591,288,460,356,094,032,
261,071,317,609,893,667,314,191,120,479,936,343,214,888,805,715,797,467,215,
393,364,246,653,894,838,070,682,037,295,653,743,598,639,825,402,093,539,916,
098,685,640,895,807,125,896,954,946,277,758,351,578,491,823,342,809,676,034,
994,396,057,887,774,351,273,175,271,679,749,156,766,316,942,517,284,779,741,
923,560,395,145,663,140,937,817,942,287,394,095,118,383,635,962,138,719,429,
534,936,407,580,593,596,279,638,689,557,086,686,948,891,307,568,161,460,370,
317,508,277,979,581,250,311,080,027,119,750,439,496,323,717,538,965,797,353,
265,876,440,088,849,151,204,693,583,109,141,199,015,239,568,710,267,394,526,
089,802,031,580,309,888,186,428,059,576,411,081,193,722,751,293,552,812,804,
279,316,548,569,749,387,792,318,773,676,068,752,996,327,336,136,669,369,584,
990,436,927,740,349,773,065,218,663,147,783,971,202,667,500,902,132,491,131,
909,901,836,022,994,597,968,228,812,227,719,245,152,815,376,243,914,167,149,
977,954,824,940,092,482,124,266,020,269,827,657,916,183,626,222,220,517,299,
060,570,725,003,018,574,084,606,189,883,379,113,363,841,222,810,016,924,188,
218,655,681,912,289,762,516,809,713,916,646,730,842,433,463,006,265,442,254,
589,470,506,782,142,914,813,562,670,119,540,562,368,774,019,925,575,076,079,
740,625,540,563,786,506,945,256,762,238,763,589,014,714,976,280,862,422,111,
283,152,412,747,838,692,388,170,074,844,818,811,419,054,098,901,418,995,555,
436,202,328,918,800,349,810,116,735,738,913,398,449,748,906,939,553,277,743,
984,631,598,502,371,620,458,587,410,731,132,406,563,730,143,017,309,405,942,
587,279,645,105,425,484,160,400,251,278,536,743,247,510,395,991,735,320,622,
558,310,810,451,935,588,061,832,045,168,591,313,884,053,803,487,703,503,234,
541,626,107,385,966,143,344,300,146,696,581,575,573,326,090,542,160,915,429,
055,203,406,131,702,248,379,824,677,080,906,641,253,404,607,302,752,325,395,
675,745,484,962,041,498,342,017,173,479,335,588,350,906,798,735,843,617,511,
862,975,717,275,251,825,427,433,070,440,949,794,955,997,885,109,027,636,723,
334,009,755,901,604,115,333,274,231,394,069,404,795,153,835,642,915,734,700,
766,594,622,150,612,066,876,825,100,198,067,352,622,421,658,512,449,809,285,
808,928,710,270,852,974,341,412,127,792,145,486,742,372,758,048,434,429,528,
789,490,922,853,629,113,299,612,851,220,471,262,642,360,402,121,246,576,105,
654,509,195,497,301,943,944,775,514,600,977,931,984,276,033,051,938,375,416,
565,601,208,289,924,374,985,838,287,008,755,113,209,179,551,751,175,660,617,
306,616,819,758,074,791,036,041,403,246,006,358,639,907,331,766,143,339,329,
562,889,510,368,615,016,589,671,100,865,978,526,741,724,664,942,752,921,284,
065,122,077,025,022,255,804,987,378,337,808,085,748,278,830,651,257,801,467,
931,017,663,712,191,941,987,001,706,652,545,428,491,453,305,588,713,158,399,
530,987,527,877,320,979,187,501,429,538,013,919,215,730,488,085,288,705,203,
682,143,003,294,798,334,869,207,604,968,353,781,794,823,938,484,244,210,137,
088,274,650,447,374,188,721,615,390,907,273,848,327,740,764,822,502,466,810,
561,389,749,182,612,249,226,523,697,335,595,580,237,405,017,489,570,094,729,
297,479,345,478,866,069,686,050,718,843,744,295,764,628,576,982,969,610,655,
435,932,939,867,837,957,272,611,035,083,245,506,060,046,374,994,867,052,756,
316,986,428,626,608,273,972,280,048,555,469,629,756,084,805,181,913,064,050,
955,491,182,984,052,257,646,451,825,781,174,060,300,867,303,827,577,679,471,
787,076,262,116,297,170,425,113,737,011,482,833,938,001,478,019,356,074,392,
156,501,648,897,021,798,321,140,489,379,063,609,533,728,461,379,402,550,542,
934,382,411,364,811,717,152,761,299,157,631,954,708,058,481,812,991,631,084,
292,274,813,995,663,045,875,225,908,907,873,484,345,733,709,030,600,946,691,
253,282,201,614,762,940,961,919,932,608,613,210,675,667,766,737,859,773,119,
313,667,794,742,359,645,465,378,068,470,046,598,856,332,281,017,234,174,594,
250,336,023,571,204,187,396,072,641,233,599,526,135,093,294,412,982,429,946,
556,632,852,758,561,284,962,227,046,494,823,753,242,357,055,174,618,458,207,
421,773,489,121,488,077,880,876,705,804,728,827,310,652,255,175,447,156,925,
862,960,243,290,892,578,610,398,745,926,974,916,028,238,760,950,447,416,323,
759,039,871,829,789,580,768,674,693,604,084,996,025,712,542,326,634,907,697,
797,707,782,068,583,771,051,604,534,562,759,751,491,663,051,608,839,057,920,
164,375,304,317,612,190,021,746,605,707,027,432,239,198,505,937,450,506,017,
671,106,957,315,244,156,260,238,263,459,452,060,817,619,772,539,364,837,519,
201,555,248,152,763,029,267,920,407,393,509,347,903,536,125,716,712,839,269,
286,661,741,002,754,742,756,844,933,687,309,564,186,652,434,180,921,237,092,
618,725,939,291,060,378,578,579,750,875,762,991,937,175,909,521,035,474,064,
802,279,908,621,665,227,992,827,852,519,467,382,369,127,904,197,180,794,495,
458,694,735,735,257,341,370,936,574,428,403,028,414,605,500,222,823,632,436,
145,543,068,542,329,229,542,187,562,366,162,588,093,104,988,602,938,177,787,
380,996,427,426,413,441,701,995,751,248,008,558,093,838,894,390,371,743,521,
896,055,341,183,887,144,343,935,854,189,117,945,563,840,862,233,526,386,416,
952,296,602,412,698,868,403,824,129,310,360,862,127,777,219,682,687,777,048,
033,646,047,664,846,328,467,824,314,316,161,413,216,392,665,547,335,590,042,
212,299,600,797,441,062,313,327,456,637,430,676,734,519,274,411,326,057,139,
395,528,670,940,481,341,714,324,392,198,038,288,879,392,134,075,986,459,829,
332,494,636,430,373,945,964,432,630,464,434,716,493,824,621,701,335,902,456,
025,241,802,467,901,144,955,958,936,512,247,432,126,581,280,045,937,875,743,
079,873,653,681,089,345,510,354,164,830,422,255,608,876,386,522,369,643,553,
476,161,130,849,614,243,440,170,110,952,601,412,038,239,939,509,309,834,777,
567,809,863,259,081,101,580,737,621,002,342,344,606,498,727,660,251,686,235,
765,913,357,818,434,388,962,546,140,132,037,732,006,174,652,884,279,014,664,
076,587,055,120,362,771,991,406,020,477,709,453,720,085,498,870,085,737,368,
311,060,458,610,725,586,032,335,928,303,747,439,781,594,075,929,649,757,600,
471,149,118,854,099,892,786,959,789,613,244,184,632,762,738,059,213,356,729,
590,476,328,779,198,659,123,359,671,764,215,733,064,524,200,283,982,598,509,
191,834,156,015,226,914,492,832,125,452,491,408,981,746,135,307,453,826,560,
107,841,581,585,098,551,035,817,319,581,889,742,718,543,341,195,483,792,984,
420,268,553,319,243,852,600,123,585,267,757,251,524,393,109,664,545,569,131,
010,547,116,228,011,478,099,297,314,229,596,734,503,843,928,230,517,571,318,
961,939,232,643,339,443,235,926,399,677,616,399,755,796,829,636,106,165,903,
306,549,124,112,889,783,039,064,614,259,452,103,595,945,212,919,579,539,961,
482,807,366,486,544,341,770,370,920,342,102,864,368,237,323,643,400,363,222,
583,036,928,400,806,407,793,774,991,244,337,045,064,404,905,107,219,397,645,
968,872,832,942,769,898,248,310,129,610,772,615,752,937,417,284,750,027,021,
607,079,080,005,007,648,336,428,510,452,768,819,881,370,875,503,976,402,060,
872,873,322,783,049,868,669,947,722,150,676,888,746,954,205,199,550,741,158,
919,536,261,935,135,976,048,809,963,567,933,963,943,822,153,118,171,275,093,
981,373,489,572,200,376,724,600,678,708,977,703,373,527,247,163,113,803,038,
819,269,649,608,611,155,349,484,222,323,164,291,930,700,432,307,452,082,966,
585,436,317,990,589,678,574,734,412,437,027,148,146,028,643,413,869,925,023,
725,784,808,161,786,211,877,856,138,129,653,336,621,634,101,792,426,726,424,
653,487,447,700,564,478,095,728,922,708,076,641,231,980,015,431,186,140,460,
260,811,920,323,102,674,114,364,079,733,936,955,977,549,502,663,608,200,899,
048,226,147,495,421,974,069,942,256,128,399,117,669,458,016,595,616,884,879,
120,237,985,556,618,917,052,611,165,647,363,226,669,589,081,867,885,246,163,
037,593,581,246,351,945,450,035,821,621,578,959,374,111,150,391,194,736,063,
572,118,504,502,406,415,453,103,327,073,468,118,402,062,885,514,364,453,635,
044,328,444,130,273,129,918,085,876,002,339,324,331,909,967,027,730,787,610,
537,799,589,241,850,695,693,510,103,524,002,726,081,330,174,180,863,141,567,
204,039,681,289,239,519,090,493,610,999,520,345,322,131,832,730,846,892,723,
771,901,932,960,892,445,878,829,639,818,357,672,612,348,747,041,849,049,905,
852,824,535,853,720,913,076,930,188,011,872,403,317,705,851,763,936,968,523,
552,617,287,673,742,487,325,010,215,671,587,828,791,976,975,507,823,578,801,
715,873,458,815,485,974,227,654,768,579,433,164,199,933,414,355,112,196,391,
366,355,540,160,028,330,136,535,836,333,485,029,660,306,837,495,991,641,070,
665,968,598,835,751,084,659,760,636,390,491,522,571,336,970,573,676,997,744,
760,831,499,425,389,746,987,731,532,284,995,530,111,276,772,564,117,931,242,
095,630,660,382,714,214,538,821,464,664,990,569,414,169,468,210,960,769,665,
935,561,551,192,832,380,080,032,328,434,158,459,584,972,643,540,345,052,237,
027,513,844,044,127,832,480,287,563,785,477,393,934,408,610,136,941,995,476,
121,774,272,468,327,469,732,806,531,439,745,698,057,896,642,346,011,789,123,
533,809,738,189,465,547,253,362,651,370,703,380,653,923,220,861,043,292,304,
517,232,348,430,185,470,750,935,405,120,925,639,021,107,040,211,032,752,232,
878,956,457,165,770,951,008,392,186,334,885,912,478,224,207,399,745,555,040,
712,546,686,613,720,554,065,824,872,678,935,634,003,284,296,887,353,016,946,
974,986,579,000,467,910,137,422,685,583,640,639,567,968,701,296,368,470,059,
418,514,028,778,401,682,598,081,794,579,704,444,316,140,747,779,643,189,356,
430,690,845,170,772,262,412,423,868,746,841,152,337,876,149,473,704,391,230,
159,736,480,351,166,205,835,216,410,049,023,746,764,731,260,728,415,666,415,
219,961,005,191,816,212,053,921,463,489,856,143,110,782,068,420,053,756,072,
129,243,209,162,349,793,388,764,073,208,211,514,910,773,039,511,201,111,123,
465,931,351,799,104,158,714,871,407,288,683,473,223,732,782,933,793,882,767,
212,304,856,302,582,646,984,863,864,495,995,323,143,650,304,820,940,495,667,
210,509,883,880,631,205,978,436,801,817,162,954,673,269,220,810,122,349,127,
076,879,889,273,353,846,429,110,948,371,975,325,221,746,631,364,758,323,641,
804,044,411,391,702,628,418,065,660,907,563,533,325,024,633,571,783,656,823,
460,495,236,026,130,143,455,445,932,871,494,158,081,631,604,911,922,258,623,
537,101,330,928,800,775,896,062,858,410,443,893,735,762,875,315,060,618,964,
776,940,063,081,334,748,193,588,232,120,733,576,672,294,681,120,410,404,319,
179,975,968,671,963,733,741,943,807,381,950,150,142,312,670,751,466,984,492,
066,722,253,396,143,004,773,956,705,769,468,879,740,638,424,054,694,212,080,
035,396,730,036,040,371,373,631,192,622,425,136,623,829,367,790,864,122,525,
741,960,105,222,626,489,053,954,332,021,540,165,579,183,011,820,541,094,162,
682,741,557,047,344,470,356,828,772,632,158,185,225,190,421,204,690,545,256,
753,894,380,046,849,451,327,022,272,333,887,997,743,870,107,664,586,688,371,
567,194,022,688,405,624,403,004,084,387,514,692,283,157,743,356,049,118,409,
573,893,196,789,194,629,247,285,528,463,554,344,876,466,822,628,690,147,985,
114,847,777,368,512,751,199,721,448,551,050,417,163,266,899,818,164,229,472,
172,991,941,171,957,110,482,078,082,029,637,115,024,718,824,940,529,959,954,
417,198,324,109,471,109,301,394,792,597,869,205,713,994,442,736,590,289,086,
344,240,889,831,074,543,526,963,807,660,673,348,986,040,282,319,727,191,801,
359,481,452,443,720,577,993,521,263,172,920,510,103,029,852,893,475,770,586,
715,423,330,523,800,102,947,430,692,562,940,856,822,928,263,963,829,066,845,
748,476,380,076,439,713,367,400,857,590,002,875,654,587,625,485,088,219,872,
140,552,178,419,885,892,361,033,524,312,331,791,418,512,381,133,730,782,951,
241,939,933,247,333,647,192,881,381,858,295,815,603,852,606,290,980,844,580,
549,135,111,199,056,209,557,595,417,023,323,232,214,179,285,815,240,540,655,
670,294,318,856,161,864,203,481,864,500,672,151,558,379,039,538,891,830,291,
900,681,626,976,968,538,018,096,889,237,878,126,733,285,699,031,313,759,755,
070,006,962,019,349,256,007,842,530,761,826,537,458,011,657,564,988,119,445,
010,697,213,490,629,963,746,904,240,648,583,232,473,866,644,205,499,807,348,
104,527,959,414,813,361,320,074,627,630,642,141,240,003,435,311,756,534,866,
854,726,841,540,951,476,871,813,739,790,145,340,311,624,334,151,318,133,403,
083,535,437,422,243,424,002,175,846,059,210,782,979,763,225,593,328,683,559,
640,227,497,221,802,073,467,291,407,896,136,237,376,321,548,958,026,047,300,
709,832,464,806,512,725,699,798,759,110,038,639,479,863,140,840,673,535,882,
708,357,346,630,291,836,336,916,746,983,287,569,588,256,330,440,709,931,570,
245,783,652,772,946,313,200,050,981,018,669,958,495,574,293,520,217,208,480,
500,553,467,875,713,471,252,664,589,748,723,113,708,013,902,114,001,782,574,
630,883,222,968,169,562,531,030,628,226,366,701,015,242,300,758,008,462,867,
865,156,691,128,774,676,758,087,441,611,778,416,914,337,809,422,356,670,684,
861,249,674,188,948,707,370,657,341,632,561,798,005,509,260,303,921,493,079,
226,143,281,769,813,410,747,722,035,116,811,634,385,395,017,287,591,751,275,
006,065,018,114,714,621,002,008,651,237,631,657,282,553,891,049,124,279,139,
211,886,570,026,600,636,392,977,495,892,307,447,582,111,855,334,251,789,681,
617,730,152,216,666,552,013,187,776,089,823,193,890,773,022,888,787,113,008,
151,095,342,329,258,333,546,813,842,097,590,271,566,732,832,032,166,323,947,
865,730,090,694,421,773,607,390,891,384,911,391,592,461,795,571,688,209,638,
380,707,686,712,085,153,150,605,407,873,995,516,770,536,584,816,954,403,828,
275,058,427,261,058,750,710,837,593,682,401,416,803,727,987,275,711,834,396,
820,873,809,113,755,761,532,500,178,087,813,808,916,844,773,379,991,147,218,
643,084,279,169,278,706,780,050,287,745,380,221,172,737,425,195,740,470,348,
469,784,920,509,345,181,383,126,065,142,454,974,917,951,908,515,814,800,876,
811,898,755,657,451,429,524,705,701,067,847,050,423,392,549,005,477,585,770,
173,576,630,435,799,928,802,837,964,157,857,906,016,561,448,720,229,610,484,
143,129,532,546,651,069,342,336,498,748,557,643,423,439,324,696,215,445,752,
056,047,255,799,486,924,328,778,405,086,358,244,504,223,012,423,327,633,217,
376,052,139,628,242,874,318,712,753,499,430,954,532,372,034,725,747,734,509,
110,261,643,516,314,426,753,413,048,811,698,110,800,737,269,697,947,635,159,
770,161,788,046,927,033,476,411,928,767,726,184,070,332,507,464,740,758,686,
906,588,646,386,782,820,055,082,916,676,911,893,523,459,938,479,522,917,006,
569,710,391,443,407,801,486,569,762,792,175,704,019,584,172,264,702,503,620,
268,762,463,105,076,458,202,729,454,046,084,320,070,898,807,258,218,189,242,
990,031,237,306,056,937,233,394,176,362,513,863,175,985,773,583,964,372,917,
356,529,230,485,433,878,125,511,956,093,136,750,465,968,352,235,582,453,364,
450,654,925,858,715,957,807,013,736,363,570,297,845,000,377,366,848,257,070,
280,697,415,031,683,580,333,667,183,501,044,774,439,447,635,301,859,587,211,
112,917,422,664,441,421,765,892,554,054,980,615,421,521,813,027,047,295,983,
349,248,577,473,136,274,627,155,013,211,599,009,481,042,109,760,963,156,388,
827,956,452,197,506,442,612,889,337,171,104,512,032,383,222,686,327,945,898,
403,564,393,951,481,490,209,701,944,699,299,364,829,568,927,881,905,632,521,
497,869,732,840,755,016,931,310,335,394,655,332,719,684,534,431,090,134,435,
338,669,211,813,686,650,570,144,657,983,555,060,596,638,014,052,034,781,970,
721,881,236,813,006,773,584,274,905,875,174,348,239,922,222,396,619,539,523,
471,430,397,413,660,125,438,427,719,068,030,806,502,450,122,672,224,982,975,
467,060,341,422,989,172,830,784,949,337,165,148,232,847,868,201,217,902,578,
122,649,627,392,267,680,795,516,154,243,868,322,866,958,218,049,158,559,177,
913,034,359,903,575,073,060,293,892,939,644,116,876,998,868,005,840,495,789,
250,427,510,980,478,040,458,735,975,382,607,226,498,522,298,262,436,841,101,
185,894,871,204,374,818,988,452,232,376,344,673,040,691,936,379,561,275,896,
857,046,295,249,908,961,947,811,349,230,271,164,416,987,477,308,825,787,934,
659,501,595,613,787,766,359,588,080,452,110,040,278,339,458,494,218,894,849,
510,729,659,223,681,036,781,687,051,419,569,219,017,188,264,982,054,430,319,
569,721,154,591,874,101,771,993,134,093,746,987,702,069,286,306,953,337,795,
379,574,478,619,610,524,459,784,811,331,751,337,673,399,957,839,316,604,109,
318,667,121,492,001,674,560,092,509,582,729,858,671,407,780,308,696,678,754,
076,655,313,682,688,281,350,117,837,799,354,617,392,306,622,115,335,614,239,
273,976,254,875,898,454,523,883,901,574,172,650,358,311,083,595,650,347,879,
409,476,270,107,888,545,883,520,271,253,078,671,687,201,174,961,696,420,123,
355,912,332,646,062,996,272,507,435,212,917,597,610,861,113,714,946,227,401,
658,864,110,327,455,719,231,215,498,696,951,960,091,495,191,548,083,718,889,
410,172,089,189,617,258,838,369,699,137,558,181,049,635,656,398,863,169,618,
574,822,246,652,844,184,443,657,447,071,471,882,002,334,277,993,870,483,954,
995,024,811,057,644,452,474,344,634,084,536,232,781,341,346,398,736,543,901,
941,964,214,694,484,510,639,079,905,526,080,314,861,402,813,730,386,098,127,
604,300,066,242,731,832,175,036,393,858,532,495,835,974,055,497,925,473,847,
320,603,882,773,861,184,349,501,415,704,237,534,439,173,895,251,862,975,328,
658,461,767,988,341,652,053,280,766,243,312,352,306,157,612,551,009,994,348,
633,410,728,143,844,036,984,613,442,210,838,166,175,551,123,946,354,973,672,
744,935,381,838,880,261,102,290,354,001,479,670,275,945,013,221,956,891,753,
882,434,247,808,530,173,012,391,747,985,725,384,736,344,810,992,385,157,072,
373,516,702,161,148,825,478,507,204,428,464,905,238,409,351,204,606,208,497,
307,054,210,256,113,241,927,379,558,366,404,893,112,788,279,354,732,208,946,
454,500,065,865,787,102,941,936,644,904,562,409,206,713,813,969,395,447,912,
244,855,385,276,951,356,129,335,345,958,428,655,816,462,771,057,510,546,289,
953,327,480,064,007,094,300,101,229,576,952,071,114,610,013,310,094,489,976,
779,716,169,034,510,389,493,572,620,430,126,795,474,774,119,631,180,439,516,
117,569,537,292,331,075,392,220,720,410,341,119,383,483,624,975,783,170,837,
370,104,015,141,686,850,946,958,533,567,350,168,951,467,837,385,939,341,950,
674,920,843,411,725,709,400,813,501,957,356,050,609,446,327,249,141,788,723,
760,076,845,955,907,232,804,098,679,675,169,297,981,897,325,826,006,923,049,
407,657,450,096,151,739,674,332,711,798,146,147,863,819,381,987,734,452,477,
939,014,146,403,931,185,660,649,484,052,836,694,236,667,080,603,079,691,906,
076,157,941,146,855,986,239,888,533,913,473,803,451,615,240,818,901,595,238,
284,524,472,838,991,394,283,973,604,969,781,573,662,280,594,786,958,051,221,
700,313,365,554,832,754,141,908,643,941,941,197,395,090,439,717,250,740,436,
392,738,624,454,939,514,190,485,829,580,854,089,352,009,493,673,220,711,712,
128,528,146,195,522,108,207,754,815,800,312,140,924,315,521,392,006,624,702,
156,193,206,635,027,298,914,295,460,832,365,725,774,048,760,192,897,030,785,
236,517,115,216,730,484,704,761,001,004,374,920,001,516,827,101,661,625,996,
880,077,715,809,022,838,807,501,872,653,773,788,362,588,239,923,038,267,744,
738,567,427,085,133,483,212,270,311,563,189,362,534,317,307,477,182,227,463,
551,269,066,086,381,955,777,684,578,438,548,247,370,459,180,669,366,420,040,
994,042,336,736,573,096,368,868,725,103,373,936,540,462,435,117,879,182,261,
203,868,580,374,755,148,584,418,774,842,088,249,932,676,762,597,766,474,098,
743,917,831,821,940,819,480,418,059,933,935,597,824,275,747,252,782,281,082,
553,337,791,890,265,712,208,209,180,813,058,257,493,460,531,608,519,381,948,
481,391,167,663,816,509,383,838,433,603,494,230,584,552,230,946,315,376,951,
832,709,939,827,833,049,995,273,709,748,767,237,689,708,585,805,672,835,963,
529,987,766,718,959,401,803,245,362,053,829,504,316,210,954,316,799,488,564,
371,626,019,804,460,889,079,630,615,921,213,963,206,721,845,531,719,778,776,
325,787,720,811,926,062,310,994,914,618,675,275,601,091,940,203,550,468,515,
656,927,246,047,122,783,813,891,225,120,361,193,034,108,642,227,305,082,539,
702,243,789,589,440,140,890,491,720,965,245,201,361,348,691,188,855,705,639,
786,374,062,888,859,160,820,946,667,920,351,181,966,242,903,599,251,820,678,
251,103,417,273,821,558,065,900,928,798,867,557,461,770,693,581,797,496,950,
953,789,449,756,233,349,668,442,496,695,895,030,857,328,852,959,218,424,763,
258,381,279,782,461,837,870,822,191,915,016,576,390,074,683,309,977,988,199,
807,001,212,503,047,587,527,378,347,249,461,321,496,315,989,996,831,854,049,
834,895,858,783,575,209,776,642,334,401,999,700,731,207,227,240,144,957,843,
328,356,453,096,964,407,064,857,224,267,887,182,271,660,274,973,313,845,122,
614,197,582,235,009,374,703,115,914,553,194,436,483,865,605,604,842,627,276,
395,914,178,271,569,718,075,826,510,304,689,016,961,298,899,676,541,381,754,
516,261,498,791,074,899,430,254,665,238,271,230,428,005,992,424,158,582,658,
709,942,268,237,547,171,810,595,051,272,663,128,388,233,057,467,535,859,897,
990,921,587,903,654,666,436,742,725,748,883,072,948,076,088,047,462,232,422,
072,608,728,760,255,082,946,984,286,181,921,794,312,673,269,240,014,625,312,
184,757,188,058,484,096,133,829,938,611,800,154,823,242,534,847,233,460,452,
541,067,621,913,876,841,494,056,370,249,105,152,132,634,647,845,443,371,334,
818,406,402,913,986,672,623,651,691,959,228,575,295,797,917,210,926,965,789,
106,433,668,780,095,864,523,285,601,255,162,513,676,757,719,918,727,833,721,
440,166,486,687,842,863,356,546,104,480,812,788,748,895,610,537,890,368,279,
950,765,424,688,183,945,654,589,821,695,369,306,070,516,936,256,631,473,523,
532,961,962,586,864,327,777,341,213,869,198,124,297,252,791,584,708,222,655,
912,984,267,079,831,799,734,407,162,913,039,628,625,283,525,240,434,540,999,
370,378,764,803,049,098,428,080,011,808,070,398,091,617,677,509,867,645,399,
766,791,189,362,716,987,515,917,379,119,298,138,137,363,917,614,608,529,794,
254,256,426,249,005,635,970,282,557,557,294,619,106,894,634,616,847,562,060,
318,250,358,702,043,976,893,854,467,582,500,057,001,581,710,278,734,789,778,
285,304,848,621,036,321,413,718,950,525,720,885,192,059,927,897,197,329,877,
769,198,307,650,443,931,781,918,466,308,486,784,878,303,871,042,818,633,296,
683,666,739,652,451,385,552,438,723,027,520,349,123,636,313,856,321,540,417,
879,460,455,837,804,661,545,606,292,399,335,685,532,386,307,978,104,849,899,
255,140,512,916,192,561,871,700,324,004,143,996,891,811,423,501,232,743,853,
819,712,539,582,254,577,364,400,712,067,328,948,942,246,990,598,113,702,315,
184,160,890,369,291,457,486,269,568,441,739,159,782,626,098,892,530,975,381,
764,336,684,747,258,098,261,504,347,791,810,142,548,853,476,746,348,325,139,
518,238,097,565,394,106,382,376,246,205,550,198,564,120,080,265,018,148,182,
594,874,673,887,569,508,851,195,627,068,461,686,950,644,166,603,390,017,821,
679,844,751,434,179,386,427,623,101,288,432,156,322,044,424,938,899,501,254,
888,796,333,370,514,732,664,412,412,903,533,106,749,022,731,102,561,307,700,
590,866,183,638,977,030,234,975,744,221,167,992,089,944,297,469,914,126,458,
146,544,179,758,097,188,019,609,809,074,113,946,725,616,343,600,674,458,156,
262,809,598,789,830,549,519,461,560,500,652,348,874,106,370,612,056,902,955,
340,343,664,019,164,453,701,496,158,541,732,201,133,830,284,747,711,619,634,
505,721,972,569,436,338,835,928,514,023,282,891,266,333,373,420,142,905,394,
023,618,380,064,713,915,767,915,147,536,738,608,930,518,180,326,369,057,765,
197,387,101,897,178,752,542,281,322,610,596,991,480,620,133,421,134,222,543,
024,880,289,017,279,552,679,025,427,291,234,018,807,435,908,227,498,688,981,
681,060,482,399,422,101,759,897,777,876,474,055,947,047,029,161,501,496,078,
903,353,213,206,453,701,074,003,903,744,399,616,794,408,620,380,279,165,532,
847,890,518,920,764,540,886,157,882,992,609,791,327,010,727,785,184,526,273,
979,196,869,897,596,932,452,720,086,738,667,067,198,984,033,585,379,783,319,
545,258,860,631,521,904,757,307,762,164,902,138,754,190,438,787,646,230,983,
337,618,143,117,291,298,156,165,948,496,010,066,223,648,938,952,850,392,207,
476,893,873,581,194,290,160,799,455,290,789,232,834,871,157,842,322,598,899,
550,699,062,138,384,050,151,007,024,704,784,358,932,756,836,198,676,800,912,
825,107,689,825,306,131,341,799,236,412,361,023,155,446,207,264,082,341,580,
143,701,008,660,011,378,680,004,254,909,730,051,481,150,599,616,923,089,020,
299,242,120,546,198,762,669,365,229,172,436,513,395,453,777,323,118,799,710,
306,361,402,275,851,363,469,210,928,224,429,281,001,265,161,303,390,873,098,
617,499,832,142,744,103,995,856,316,181,740,921,133,572,666,418,769,140,133,
679,154,063,535,209,917,906,469,366,546,535,472,946,409,925,182,538,601,929,
631,432,900,600,250,021,959,121,070,752,652,410,921,814,042,466,414,725,819,
913,243,708,556,417,022,897,693,055,582,977,672,391,658,642,258,064,343,931,
454,310,073,574,251,642,446,463,830,893,208,148,844,485,498,698,110,674,608,
104,934,515,130,058,789,357,988,672,359,488,477,969,059,083,112,487,510,064,
474,840,652,389,899,224,431,814,041,479,509,551,419,104,892,711,724,721,610,
526,159,355,953,498,030,171,870,817,163,938,836,593,983,395,434,587,840,321,
829,416,691,604,289,220,863,427,148,684,268,499,061,228,757,363,134,377,715,
594,961,085,462,038,851,576,448,350,406,685,138,065,838,747,409,714,483,210,
214,223,281,397,926,282,593,149,016,895,022,441,715,110,788,598,919,175,974,
566,600,279,295,325,264,878,902,915,344,333,908,369,737,896,911,369,435,563,
841,416,216,646,401,431,263,402,154,753,551,713,065,821,450,336,944,607,280,
470,648,022,478,103,599,230,291,679,270,730,794,124,734,966,256,813,782,422,
081,980,812,093,450,520,689,830,859,232,730,461,967,336,266,506,508,914,294,
668,557,027,626,452,859,476,192,584,504,088,403,728,261,370,203,984,844,866,
342,931,541,264,032,481,936,175,768,413,480,372,561,693,563,769,979,387,458,
319,905,697,384,129,817,047,757,167,434,863,444,478,459,801,018,606,597,903,
791,597,992,717,578,622,201,010,710,429,515,937,571,713,172,629,564,930,615,
972,898,311,666,355,817,022,574,772,894,057,216,986,359,105,896,610,987,793,
241,132,708,669,591,843,149,398,138,938,747,248,980,969,647,650,154,980,919,
526,123,488,966,191,250,475,671,790,770,832,172,681,191,807,124,077,805,734,
026,632,660,373,148,359,061,501,520,530,398,504,397,765,783,641,689,154,285,
468,426,624,949,682,786,008,733,080,229,553,346,260,390,189,860,179,333,111,
910,124,727,677,151,941,734,164,021,312,118,869,952,327,121,315,868,823,233,
710,510,043,287,004,065,918,726,680,378,982,315,229,042,579,976,991,647,217,
809,804,518,909,703,393,931,841,049,238,282,414,862,456,171,264,883,046,603,
531,851,317,140,685,032,671,805,490,113,227,858,996,033,625,733,965,301,302,
622,775,146,779,036,201,370,331,470,525,174,359,954,375,338,897,250,173,061,
364,340,891,566,249,723,198,569,468,583,459,598,603,696,442,456,238,104,766,
053,949,578,040,811,611,047,135,753,527,740,113,902,123,058,030,650,088,250,
808,040,403,696,309,585,910,213,578,351,157,630,138,481,014,601,164,424,226,
367,594,950,417,450,831,741,687,883,431,695,899,457,989,403,842,832,580,616,
655,140,492,859,591,704,975,927,683,787,481,434,981,913,983,205,996,659,467,
885,852,309,663,499,827,166,609,559,283,058,284,198,815,586,558,991,318,633,
102,153,777,105,273,067,717,648,734,807,154,509,924,397,673,011,668,370,834,
843,317,927,995,105,753,413,639,754,094,534,885,758,230,888,122,984,416,835,
268,855,063,677,692,531,009,751,246,896,328,458,029,544,612,393,850,200,881,
310,385,709,246,200,404,032,833,164,532,933,103,594,194,606,696,795,898,105,
138,213,711,288,517,614,882,789,051,675,390,513,231,922,068,585,563,849,401,
101,248,966,641,093,746,663,426,176,010,151,952,209,823,447,830,044,304,645,
318,602,574,418,438,205,268,001,375,181,889,927,921,956,552,069,575,453,693,
790,978,353,503,513,432,653,145,196,385,065,333,279,202,872,500,744,232,476,
107,870,358,469,889,768,953,340,034,025,617,102,842,867,531,131,062,571,007,
747,199,623,102,789,126,850,465,297,835,456,228,237,459,839,937,634,824,351,
230,932,532,285,564,852,876,614,315,557,309,095,188,598,742,248,940,104,535,
293,734,024,704,232,938,025,263,127,588,056,566,331,789,738,801,750,436,008,
867,796,742,437,349,892,006,035,858,447,299,733,783,760,872,068,715,578,612,
140,833,422,507,765,714,436,938,968,860,199,185,487,825,432,153,711,494,157,
437,586,706,742,087,188,218,883,139,646,549,596,501,496,278,073,004,604,028,
791,696,663,483,006,083,477,351,910,573,691,252,159,236,181,103,848,382,137,
415,031,513,533,694,488,242,123,914,024,400,355,711,574,965,425,310,016,480,
898,618,606,966,489,681,269,486,366,874,730,683,101,574,081,012,601,540,953,
213,906,706,191,269,369,536,270,257,647,920,511,171,713,318,732,941,395,528,
686,229,416,778,006,529,476,046,859,179,292,960,029,821,759,593,016,070,091,
234,166,511,002,501,897,231,108,382,494,189,799,187,540,103,506,596,473,030,
275,191,312,166,732,521,353,727,536,824,890,979,597,998,388,347,106,551,507,
657,794,682,237,495,756,819,655,432,205,613,044,362,704,352,404,611,212,474,
296,689,285,213,254,837,257,984,339,352,738,328,564,262,797,904,164,130,248,
832,189,585,777,955,047,570,473,830,229,600,041,583,135,830,540,751,341,471,
124,748,040,105,862,274,402,879,160,246,398,117,776,964,582,774,697,092,585,
533,132,458,991,191,896,983,555,927,426,005,003,710,089,586,375,679,144,917,
997,967,070,620,963,378,553,540,003,038,822,363,044,750,039,638,310,748,726,
067,189,005,610,677,263,762,022,949,444,905,298,633,224,264,679,864,521,870,
684,811,224,787,661,729,215,743,008,478,464,183,377,120,444,689,800,441,759,
494,541,808,902,187,053,153,243,392,225,163,040,465,840,755,324,357,175,596,
416,889,816,240,635,758,041,517,560,123,597,610,245,315,534,113,588,410,178,
126,550,753,696,215,950,290,770,921,739,581,204,358,055,390,524,617,837,440,
437,445,674,363,255,394,563,186,222,879,756,544,518,484,521,730,263,437,225,
077,733,547,137,923,949,997,289,828,975,835,139,688,831,238,923,001,449,463,
815,986,086,805,058,010,516,055,038,405,624,049,793,875,185,614,219,382,998,
066,068,789,414,287,172,107,853,052,457,493,604,740,399,812,522,941,967,494,
978,771,443,056,555,598,078,756,940,033,920,220,606,806,619,452,457,088,934,
576,885,318,204,738,023,760,140,428,066,464,396,296,611,416,014,042,333,180,
706,611,061,802,680,121,465,802,088,760,006,572,166,724,967,410,784,903,502,
419,235,053,502,198,032,679,004,343,165,011,997,789,329,366,848,290,918,128,
072,259,993,246,109,147,160,055,324,009,243,378,022,106,545,524,184,152,126,
322,727,249,328,482,002,229,662,355,923,600,796,478,941,882,164,471,577,090,
029,828,855,698,277,746,919,370,327,279,834,785,153,149,097,166,100,114,360,
748,178,821,385,177,578,815,966,135,026,694,009,549,590,556,561,268,397,294,
888,558,534,407,257,070,469,658,538,595,912,761,365,104,202,593,440,675,599,
969,470,681,527,589,042,832,102,341,860,376,529,306,487,654,427,058,487,705,
282,572,188,560,232,696,040,770,893,563,941,927,625,295,882,532,700,670,614,
868,618,771,793,886,302,404,349,798,607,809,472,092,703,597,467,161,608,235,
291,051,068,704,192,376,187,733,706,170,595,730,053,488,111,443,380,925,499,
648,288,672,490,954,827,244,634,856,628,987,884,361,969,117,225,852,589,706,
411,167,938,721,609,578,714,270,544,690,092,455,202,181,553,138,668,441,374,
382,464,432,751,090,172,152,884,669,919,594,299,493,102,146,109,117,571,690,
227,943,641,599,145,141,158,493,361,948,247,575,996,790,037,226,257,872,992,
710,325,688,916,037,933,394,937,477,909,875,587,964,685,567,520,844,863,035,
100,747,828,778,065,480,618,805,643,383,131,357,983,098,927,709,187,149,825,
493,457,360,765,722,591,650,965,874,629,272,724,241,539,170,143,950,336,593,
706,330,233,059,186,457,027,661,199,171,198,353,030,692,601,881,246,170,154,
826,263,484,827,994,903,107,101,015,562,297,473,083,763,229,011,028,312,966,
686,363,907,179,872,165,950,226,927,502,469,446,753,087,561,069,671,222,761,
891,963,706,835,174,179,511,102,778,979,628,192,077,252,276,615,642,182,855,
280,302,688,078,597,142,187,198,432,511,676,814,826,434,538,102,937,513,441,
226,411,955,421,866,266,767,993,211,007,216,462,249,216,183,877,817,712,261,
540,193,898,649,290,332,185,694,620,416,520,698,045,499,222,342,628,164,853,
879,080,325,220,715,572,457,680,642,912,993,591,541,926,940,135,368,742,420,
571,333,828,057,281,845,943,807,216,285,773,062,718,818,332,506,906,459,724,
522,896,518,066,161,246,864,067,166,943,891,787,630,521,021,301,492,270,002,
076,392,883,734,771,531,325,029,121,388,568,756,116,713,724,431,005,331,939,
990,334,248,471,870,149,145,993,373,347,366,261,905,316,237,045,943,268,838,
602,045,728,587,366,258,440,343,808,742,871,502,047,699,268,504,532,244,332,
798,571,952,735,465,626,017,654,710,710,407,800,877,719,394,871,429,021,639,
533,786,106,292,202,768,198,035,838,107,732,310,101,835,856,354,343,307,077,
470,702,642,268,125,637,598,856,125,862,109,858,741,502,638,400,072,224,001,
313,636,531,148,269,846,685,630,192,329,188,129,733,714,120,832,618,581,051,
065,495,192,391,362,403,412,125,334,550,932,526,223,356,369,670,538,730,843,
227,919,833,599,900,877,031,371,502,810,624,285,413,618,113,021,252,413,961,
404,200,891,894,250,847,535,305,171,222,588,678,593,565,841,304,318,705,689,
170,701,527,902,494,587,018,736,743,542,007,131,227,336,141,111,585,575,524,
384,802,075,160,866,234,586,741,392,446,619,647,257,158,851,087,879,742,570,
790,136,921,410,486,620,222,518,501,985,340,044,095,455,191,364,736,366,898,
154,090,916,897,805,590,639,840,137,937,809,425,638,410,194,463,859,669,206,
749,135,902,909,284,155,627,177,692,006,068,004,523,510,567,263,181,269,643,
086,307,534,908,878,447,974,035,932,659,302,073,247,527,288,010,163,114,741,
877,553,284,440,923,690,625,970,630,726,479,694,189,130,305,605,881,607,922,
246,832,795,884,047,683,849,438,594,909,334,859,610,082,241,089,803,377,883,
909,971,491,288,364,392,528,149,926,854,042,903,355,785,895,959,768,615,573,
823,228,810,245,836,418,503,287,958,418,741,209,809,960,950,153,166,235,150,
647,801,473,457,077,141,579,639,590,072,092,823,888,775,218,286,506,709,434,
861,520,150,371,954,630,992,609,593,794,829,704,932,125,097,456,207,348,209,
577,565,315,237,623,164,991,952,162,900,768,782,265,337,804,106,621,256,680,
939,089,275,115,989,704,172,797,011,228,053,839,828,500,793,751,993,563,234,
962,332,361,674,990,500,414,595,888,998,053,306,384,532,876,163,004,785,609,
210,591,533,353,704,686,174,563,484,926,525,065,956,774,953,514,631,400,487,
669,708,480,450,277,417,558,320,413,418,175,136,525,364,187,671,371,800,793,
497,724,164,695,846,458,608,037,589,397,949,345,744,192,902,962,063,397,649,
054,675,129,271,970,905,151,673,108,072,446,382,071,977,404,287,737,093,656,
951,174,518,433,120,805,401,367,550,444,685,871,617,370,684,895,091,037,822,
152,318,725,249,456,269,284,556,155,061,095,881,686,111,130,158,473,470,902,
172,488,450,465,306,405,071,179,139,031,284,516,409,483,071,494,314,817,985,
214,238,491,427,146,311,437,115,423,235,906,931,295,638,631,154,986,398,571,
606,291,169,641,422,162,976,288,044,608,755,945,449,493,257,841,529,606,296,
996,767,377,383,639,330,524,376,854,927,883,107,211,147,609,746,989,155,569,
155,209,577,587,574,372,849,766,687,596,053,498,528,515,973,189,936,098,832,
387,714,190,296,910,313,994,350,926,643,575,585,193,759,749,952,377,733,693,
914,947,881,543,178,215,897,630,066,917,512,748,956,332,175,974,074,641,740,
418,894,234,009,960,805,560,468,808,322,534,054,141,819,475,961,131,863,226,
355,656,784,329,365,690,228,148,590,479,728,992,942,315,244,389,817,333,020,
689,838,181,102,269,943,687,517,188,668,527,753,817,725,747,995,615,341,081,
275,461,769,127,944,881,671,446,934,622,088,640,146,646,385,545,743,581,664,
486,392,391,802,383,229,045,611,170,088,474,906,031,909,790,007,462,590,761,
471,895,306,666,181,793,289,472,962,170,637,953,924,328,132,031,101,173,946,
318,360,384,156,155,366,138,717,627,458,024,268,369,976,677,762,464,170,603,
372,551,946,218,728,549,335,066,525,948,502,466,282,929,111,235,322,956,203,
633,241,944,190,318,917,876,204,336,663,368,346,212,957,184,556,546,981,515,
901,004,380,110,670,448,746,845,561,165,503,416,628,078,135,931,822,146,299,
532,966,485,070,657,903,540,032,372,487,644,809,499,217,915,210,585,548,529,
156,056,287,147,447,823,226,083,143,131,047,594,751,976,240,412,779,956,777,
197,582,283,370,258,609,742,763,319,697,042,393,829,505,543,681,210,764,154,
410,315,243,222,147,497,823,521,031,168,296,955,256,284,012,277,478,688,945,
884,855,216,744,332,295,697,119,218,981,899,258,681,981,909,865,571,867,955,
574,929,076,306,439,794,062,473,108,471,418,602,383,336,896,927,118,298,903,
538,862,273,329,185,630,822,498,426,990,605,724,222,274,543,220,304,373,120,
331,084,467,774,702,832,969,842,386,107,380,103,342,932,765,572,194,266,212,
886,264,293,261,496,725,431,795,895,841,247,579,445,591,802,016,276,351,640,
405,227,343,150,357,849,082,839,228,677,113,305,062,975,255,189,872,535,833,
418,524,100,616,718,198,317,591,618,401,281,300,435,214,403,945,202,760,124,
257,891,945,455,568,644,215,645,912,206,602,323,232,896,689,307,350,834,347,
271,337,149,938,001,401,487,068,468,750,351,870,464,763,021,479,783,813,835,
382,001,142,512,521,705,256,101,224,270,069,082,875,680,135,843,820,157,995,
566,247,818,989,145,566,066,380,528,413,896,855,873,910,682,843,116,161,962,
922,968,443,523,193,347,530,530,383,787,306,663,746,502,833,304,007,325,095,
011,277,033,172,511,484,616,809,328,648,197,651,901,605,204,406,402,605,557,
654,449,578,646,027,806,999,304,653,618,713,095,725,529,768,223,776,273,382,
998,004,773,110,697,318,628,076,427,499,127,044,406,873,406,937,318,304,225,
633,266,959,966,959,570,499,561,072,563,656,835,034,172,189,118,968,305,118,
319,557,302,290,273,583,220,978,822,894,229,193,269,675,843,308,512,348,005,
016,453,804,966,140,364,282,291,559,842,340,735,737,999,175,600,686,577,442,
625,142,341,112,226,159,058,181,135,205,815,514,839,453,303,402,225,597,235,
599,518,456,265,393,562,439,060,401,349,829,526,909,901,022,865,397,483,131,
119,982,051,833,065,370,096,552,745,548,698,028,048,373,202,233,121,909,925,
797,570,486,329,202,636,808,464,090,378,929,698,068,029,124,877,465,138,362,
329,319,250,091,669,513,272,879,824,249,771,613,410,317,063,447,202,011,458,
303,897,321,639,622,590,058,508,410,043,994,642,154,052,189,753,065,857,351,
178,037,723,084,839,629,865,995,222,490,153,341,631,794,878,963,949,148,100,
657,422,969,729,505,701,538,786,581,594,937,062,565,941,450,210,618,865,313,
255,093,266,668,918,919,420,552,034,106,539,804,200,801,817,333,951,047,303,
452,047,111,588,555,023,040,338,632,107,192,447,556,731,884,806,244,938,853,
592,758,171,392,993,834,947,808,570,513,503,303,273,656,160,428,634,887,436,
385,153,935,838,680,449,914,135,602,946,428,032,651,093,691,902,066,958,848,
610,715,662,361,980,682,725,127,620,523,212,101,984,823,864,550,733,895,816,
229,619,625,051,284,489,435,256,923,849,374,714,401,355,148,236,043,460,079,
463,008,806,558,921,433,205,153,643,592,083,764,800,702,276,577,319,295,711,
611,403,797,193,656,828,471,632,982,143,178,880,160,859,328,058,816,995,872,
267,530,420,112,102,432,983,976,878,773,947,328,463,336,489,154,154,160,305,
041,141,708,409,573,184,860,947,373,714,407,104,096,721,787,117,075,940,080,
526,770,737,431,939,514,178,626,467,758,807,784,394,243,770,157,628,749,343,
441,135,116,172,746,395,514,316,786,193,892,104,700,263,309,263,214,338,931,
365,999,808,880,090,539,071,600,042,423,772,582,245,741,398,788,763,857,676,
010,460,520,800,131,252,701,837,773,524,180,954,035,617,179,286,416,264,365,
537,727,567,911,382,220,177,345,514,654,370,726,471,347,327,572,014,133,209,
247,899,947,273,651,149,541,063,125,844,311,126,200,990,285,424,279,575,991,
488,739,603,155,443,763,780,998,426,124,390,711,069,285,724,526,416,037,048,
307,913,267,786,254,719,041,166,724,133,204,573,635,914,285,884,316,124,075,
860,400,096,628,186,510,410,308,029,933,694,937,703,149,886,664,730,200,066,
947,415,463,900,923,283,399,941,270,531,989,783,619,023,955,803,504,299,717,
930,825,620,960,788,362,351,269,393,411,170,829,838,898,342,397,856,098,622,
763,370,074,307,942,502,699,717,557,749,115,283,568,532,696,960,324,898,934,
693,941,999,485,142,793,959,420,674,280,100,250,036,046,591,598,756,463,304,
661,730,366,704,490,111,990,792,777,027,494,471,384,097,538,203,529,914,598,
804,094,735,840,350,388,953,241,332,849,609,542,727,041,809,076,815,417,329,
830,214,694,214,639,060,280,597,771,499,867,843,444,784,431,781,053,164,736,
949,211,676,495,845,963,242,646,386,539,221,128,416,302,991,660,277,625,097,
625,234,944,452,533,731,341,026,328,943,026,340,326,440,267,182,190,950,315,
917,414,503,363,790,265,689,672,324,838,426,460,999,338,277,921,979,796,682,
812,100,182,363,855,656,309,019,346,668,524,975,496,019,315,819,071,430,297,
291,776,039,171,214,114,105,087,465,563,855,624,182,109,089,953,862,296,800,
958,379,313,873,596,272,371,956,264,726,809,171,763,632,916,436,176,779,527,
077,632,658,043,152,224,854,664,267,245,125,461,795,351,697,787,972,328,196,
552,756,161,423,491,052,807,409,996,758,065,592,105,688,181,734,400,231,626,
109,673,769,220,287,032,390,367,269,244,698,475,155,481,956,549,526,176,742,
578,958,273,652,743,835,974,471,522,586,417,331,587,975,477,266,645,184,925,
819,018,711,476,181,468,061,542,452,156,946,522,982,568,757,406,940,712,885,
309,503,604,738,414,914,465,092,276,136,306,882,128,711,608,939,600,037,798,
217,480,447,869,773,451,094,043,023,816,132,343,405,397,452,749,873,625,573,
163,292,139,537,235,368,533,298,276,156,673,285,459,473,812,220,443,325,100,
987,629,251,672,286,421,407,027,155,414,648,820,445,354,620,064,860,439,206,
573,747,991,645,378,998,791,518,546,207,056,786,031,874,108,371,370,954,995,
150,437,544,772,717,236,417,973,508,201,837,789,544,287,331,687,725,447,203,
349,292,021,013,764,230,055,618,133,645,444,791,902,876,843,297,630,124,793,
531,100,815,307,391,083,614,480,348,437,766,398,813,877,475,429,467,281,394,
823,419,211,869,179,654,297,012,703,361,733,210,442,602,893,706,331,110,864,
433,255,252,550,841,669,303,780,154,082,326,842,194,470,001,257,708,897,453,
140,715,134,929,313,363,236,927,132,111,105,595,638,497,287,573,105,914,378,
480,418,266,582,186,920,884,752,704,214,480,542,589,569,815,631,304,509,281,
620,992,746,580,245,145,234,584,048,677,745,934,286,731,564,705,323,956,145,
249,075,041,625,629,356,104,998,313,433,442,057,879,964,732,807,068,774,201,
819,709,838,114,927,670,084,570,826,625,752,061,697,444,246,676,065,442,897,
628,136,654,544,129,337,666,042,824,043,705,853,818,817,770,145,233,365,710,
656,882,316,097,778,446,870,671,195,004,196,665,643,274,619,229,454,328,755,
267,494,949,540,301,650,052,974,886,527,679,407,374,071,262,442,345,170,699,
179,123,555,180,804,377,613,273,421,819,628,860,469,817,651,451,613,138,762,
138,461,584,501,650,981,249,422,370,549,879,440,877,984,682,169,868,122,861,
052,228,242,507,761,207,547,487,162,098,415,182,608,598,029,604,881,745,975,
738,300,133,786,827,990,309,212,035,174,398,360,817,797,040,374,200,573,426,
077,763,160,082,958,880,379,913,574,898,227,199,513,429,523,605,118,656,744,
659,190,757,048,858,934,709,072,209,208,084,983,248,615,457,356,528,468,634,
270,710,797,064,379,658,222,819,666,852,120,618,243,207,091,332,971,153,897,
661,250,861,150,775,350,612,007,879,153,825,222,597,727,655,962,657,948,006,
433,938,691,383,349,717,833,808,269,190,328,439,279,670,874,294,586,876,012,
060,254,478,525,509,283,725,447,067,607,377,124,215,711,734,676,025,545,963,
385,596,557,723,605,627,346,562,836,320,841,439,300,289,299,925,654,442,763,
762,812,220,169,188,736,525,706,912,810,783,300,718,275,947,666,235,425,706,
699,722,307,037,367,072,133,915,475,672,365,670,318,362,005,612,758,849,773,
557,683,735,152,773,966,775,745,274,118,154,768,021,598,788,333,579,936,291,
775,447,833,990,863,304,227,248,303,946,186,557,574,158,494,082,946,841,916,
830,703,167,481,311,993,208,582,109,257,715,739,325,952,002,873,079,264,912,
444,756,003,133,816,969,403,699,422,800,060,901,036,519,752,600,652,746,229,
465,158,356,829,276,091,585,676,746,407,177,116,287,003,374,448,269,330,474,
094,801,385,186,339,898,924,228,704,160,116,881,674,260,877,037,058,163,528,
899,685,311,887,663,365,218,506,218,529,040,925,022,203,787,260,441,283,489,
712,397,019,580,330,819,457,843,387,872,686,796,892,313,244,491,582,334,099,
094,513,873,395,951,269,492,759,545,042,645,211,638,555,640,114,052,324,746,
178,805,966,401,755,430,266,392,174,398,228,913,096,816,466,036,849,725,029,
763,875,238,268,549,192,370,281,318,327,421,096,640,625,519,288,842,298,912,
821,469,467,785,276,081,965,734,238,171,717,091,700,544,439,606,812,062,176,
575,641,773,923,147,267,533,293,139,529,538,878,054,436,831,438,511,418,332,
553,150,582,239,847,877,786,973,073,815,631,161,979,969,793,397,609,833,374,
010,347,526,312,568,969,131,849,832,425,168,624,804,168,617,262,088,333,975,
247,123,555,110,466,829,201,018,937,287,501,510,645,653,809,156,149,975,182,
685,649,362,178,552,139,573,735,292,301,657,242,445,578,889,753,070,175,953,
786,783,032,544,718,101,589,038,951,633,720,457,320,107,856,636,907,925,332,
383,646,699,230,312,963,022,310,475,961,284,418,101,325,487,650,154,907,177,
906,020,649,213,570,291,249,810,867,967,546,183,474,525,925,868,689,709,456,
090,607,953,870,958,312,615,569,961,680,810,384,277,067,690,266,611,708,922,
031,961,496,089,500,446,758,615,691,699,308,660,491,093,299,606,653,782,233,
743,608,109,156,612,172,266,420,606,894,844,099,397,030,230,151,968,205,976,
088,078,807,758,919,926,516,373,201,988,588,094,545,794,731,195,051,273,793,
368,313,488,145,420,851,461,864,003,764,414,337,054,328,094,330,640,798,532,
313,159,356,865,266,041,722,817,205,481,709,149,098,681,619,230,167,079,943,
087,937,361,305,660,726,205,776,837,096,226,528,987,849,927,999,785,067,149,
938,922,664,406,820,691,932,942,560,028,989,188,524,948,816,178,494,173,358,
372,570,090,907,317,423,184,893,560,893,330,499,923,779,452,984,480,031,863,
531,828,029,026,378,777,151,817,103,063,253,517,532,821,822,816,649,621,203,
421,375,981,602,557,193,477,994,076,646,257,066,289,440,696,521,864,693,875,
137,814,406,436,548,889,595,775,775,697,688,971,962,886,459,350,526,753,971,
766,682,576,619,061,420,851,283,321,294,295,734,408,436,278,561,275,631,183,
898,510,144,949,254,337,072,909,177,962,442,458,307,583,453,736,636,346,913,
819,575,113,295,548,860,963,758,047,684,168,236,237,465,385,117,422,405,523,
357,113,499,129,660,787,230,279,514,591,603,299,653,979,721,725,628,554,603,
451,208,990,445,485,237,246,752,349,242,207,948,357,095,679,371,618,825,234,
083,457,525,058,893,977,352,779,897,040,221,085,159,490,555,516,339,675,872,
950,798,758,256,268,744,156,819,220,420,705,037,951,313,808,381,680,990,985,
726,029,142,889,427,884,108,942,588,116,467,266,614,115,678,175,523,770,437,
128,388,691,234,946,903,659,588,877,627,284,273,419,415,067,372,210,331,284,
666,104,837,265,479,830,010,392,408,373,464,803,394,801,039,897,862,604,995,
892,795,743,028,318,088,540,875,127,047,797,293,162,414,775,136,885,944,553,
709,738,368,115,489,147,888,278,215,159,581,712,826,725,983,027,515,839,022,
928,034,307,104,488,270,198,440,081,238,783,317,748,841,661,315,445,524,632,
043,919,047,715,693,123,164,410,587,770,992,125,396,564,229,513,406,692,665,
390,682,740,312,507,105,451,354,762,619,908,153,886,679,765,334,283,980,588,
892,763,140,570,219,829,024,956,345,959,805,009,515,045,504,052,201,057,191,
439,340,519,154,981,007,374,828,176,015,830,370,800,203,433,738,648,906,891,
264,777,558,060,513,991,950,094,971,702,400,877,875,990,050,867,062,226,824,
913,408,112,239,155,071,147,256,181,626,090,229,909,589,400,591,942,222,973,
542,460,112,715,801,154,760,258,589,498,126,999,063,003,031,161,922,176,945,
944,270,405,832,509,546,385,934,508,078,929,284,729,711,589,845,303,359,700,
178,671,816,119,990,407,158,503,618,743,420,774,547,299,087,212,811,943,598,
147,073,577,895,156,572,314,211,917,042,396,129,397,988,834,443,374,498,366,
234,257,433,910,359,947,234,991,243,913,778,458,249,827,516,645,350,523,107,
113,958,491,307,330,355,120,458,472,359,728,035,045,754,063,967,741,073,484,
125,724,407,685,885,976,413,190,346,077,071,219,021,989,153,854,991,823,777,
129,836,509,991,694,871,875,491,134,743,133,487,200,606,674,065,210,031,200,
142,596,589,202,067,451,306,901,010,182,417,544,959,611,947,027,989,359,299,
721,088,983,613,133,397,883,336,836,929,545,952,725,408,942,794,527,493,003,
732,282,204,597,886,346,884,783,672,461,258,137,335,534,565,578,274,174,515,
547,239,261,503,271,819,947,048,248,774,125,852,486,511,173,604,203,465,785,
641,843,979,767,474,060,619,838,779,039,528,190,802,822,415,571,777,181,586,
657,547,282,600,123,001,253,828,451,918,920,965,941,077,989,420,335,412,380,
124,347,006,777,508,296,213,635,845,109,127,500,476,724,588,710,986,588,697,
577,541,471,536,575,345,502,557,797,826,755,321,009,822,626,108,910,470,614,
847,137,146,613,068,507,140,564,244,513,674,970,977,310,473,993,362,793,118,
111,187,625,559,743,819,514,354,820,497,998,820,745,174,920,632,735,092,616,
208,087,663,913,547,912,132,607,880,674,813,104,560,996,603,115,383,477,227,
988,479,431,521,539,192,009,888,593,250,151,365,848,641,095,088,546,502,941,
666,072,672,543,334,111,359,220,700,225,381,139,860,121,816,199,563,503,952,
960,587,545,817,556,072,108,938,844,064,847,839,948,363,421,839,868,446,301,
029,096,109,270,963,164,872,519,365,624,345,113,722,312,564,911,950,722,709,
885,693,915,764,064,937,406,781,825,538,365,628,778,970,553,934,533,102,891,
885,906,029,293,003,673,598,186,680,899,940,039,740,769,912,101,611,657,239,
921,268,133,109,024,656,557,079,276,122,729,183,908,992,395,578,042,758,455,
809,881,235,631,349,379,020,630,697,662,469,176,405,484,857,028,886,090,677,
982,538,615,960,185,814,961,861,584,885,259,405,392,300,861,998,872,140,494,
617,630,288,865,020,720,458,251,574,820,125,249,098,271,519,649,542,127,664,
457,483,697,485,727,266,521,466,531,030,913,992,020,205,324,850,891,297,183,
984,724,846,071,193,236,517,460,024,273,102,643,047,961,127,702,410,122,866,
988,052,115,313,961,321,661,744,017,803,066,918,204,602,213,507,405,569,602,
687,029,726,201,810,117,090,729,121,928,129,155,470,368,054,601,466,412,988,
039,165,095,227,699,183,328,204,917,216,382,888,452,170,449,456,302,144,490,
593,064,928,947,058,891,712,990,125,131,511,531,225,279,930,443,570,977,661,
051,204,712,174,802,446,385,648,973,199,301,935,872,602,937,507,517,574,649,
128,968,475,712,985,152,182,686,354,210,849,850,523,259,634,290,555,201,685,
846,817,073,584,783,005,993,161,478,125,142,656,026,268,491,889,741,378,182,
558,021,050,009,169,062,072,095,113,897,636,483,363,969,686,819,658,241,776,
442,525,972,395,991,153,930,138,961,293,672,011,549,090,797,310,049,964,339,
965,248,246,572,315,160,757,304,859,662,645,036,549,713,056,704,348,929,754,
084,955,045,608,467,405,056,304,032,926,150,071,430,168,007,602,362,410,159,
142,102,892,087,534,410,318,553,548,036,462,298,817,522,749,608,577,788,028,
480,428,075,220,641,011,202,927,386,061,168,649,561,227,485,601,578,635,231,
135,748,769,693,709,055,544,822,137,093,217,107,697,019,012,687,389,484,368,
626,600,531,853,074,669,428,544,182,662,387,297,851,265,386,973,489,359,540,
845,685,884,150,091,928,781,258,927,940,017,110,708,816,952,631,748,681,679,
994,901,217,052,266,450,588,121,105,623,384,070,222,036,999,433,142,188,599,
109,322,249,098,586,628,605,301,865,643,651,689,386,615,491,007,832,874,555,
778,489,996,064,638,091,027,855,955,701,907,434,541,671,226,544,332,888,272,
101,752,400,590,981,495,656,932,478,727,860,884,153,970,345,959,653,005,711,
416,000,406,299,053,469,960,921,115,025,026,896,424,042,546,002,032,487,854,
946,738,582,479,505,638,865,967,930,182,028,237,013,197,495,749,305,093,341,
832,592,703,874,199,521,814,211,419,715,078,873,979,051,336,387,721,281,897,
565,994,631,992,644,920,874,858,094,368,425,514,961,400,943,835,714,949,182,
837,519,335,750,151,878,665,201,394,618,506,502,579,480,722,977,796,539,182,
695,841,392,970,380,452,411,661,750,013,231,928,975,236,697,068,247,517,051,
599,172,878,885,276,344,043,303,550,871,723,829,996,876,384,766,026,699,698,
182,618,672,171,476,717,322,521,585,073,329,408,815,756,598,045,978,267,342,
266,643,306,747,007,318,217,951,758,583,628,532,712,219,134,597,164,439,361,
147,861,369,430,851,291,921,434,107,628,700,914,232,014,874,181,105,372,411,
813,490,913,188,307,751,713,138,043,785,228,665,369,596,609,854,903,999,338,
745,674,007,198,253,828,863,875,683,689,292,852,969,414,871,034,874,657,730,
873,264,431,330,713,755,166,077,782,619,312,523,524,577,089,954,723,924,890,
326,836,925,218,999,027,452,464,931,805,346,332,710,894,232,764,760,025,220,
617,237,781,405,880,499,353,884,946,291,144,352,979,012,525,116,548,944,090,
131,950,946,419,578,689,404,041,640,529,269,739,780,599,037,144,925,730,945,
812,865,382,246,264,176,232,267,108,524,694,264,255,889,519,871,549,953,398,
926,834,059,312,497,679,277,377,109,727,179,508,440,447,022,758,710,029,502,
882,107,607,505,030,996,790,775,860,119,437,919,299,926,760,446,408,926,460,
886,543,621,195,023,569,861,990,724,895,990,092,420,364,553,020,078,275,105,
318,316,114,117,806,830,097,044,563,390,976,188,488,419,100,702,791,686,009,
716,763,114,230,545,501,278,274,200,499,360,418,308,766,180,902,098,822,521,
078,525,851,284,490,374,641,790,660,434,835,298,028,904,829,837,183,739,553,
608,776,491,326,791,813,399,641,490,291,127,791,763,819,251,620,576,608,546,
455,848,630,045,712,316,050,006,956,144,375,849,060,858,170,164,119,099,134,
647,855,730,545,614,517,577,259,307,458,339,159,268,705,189,973,059,481,414,
022,584,970,476,101,593,108,597,159,456,705,928,746,622,899,125,334,210,814,
581,607,436,141,235,000,336,585,846,513,225,639,947,740,024,871,019,268,221,
147,988,264,141,198,316,671,634,531,363,607,894,867,995,665,786,301,071,268,
695,996,979,256,728,437,719,023,803,536,229,539,715,826,664,239,453,215,716,
089,255,237,064,455,295,967,693,342,821,017,443,994,680,684,583,195,596,410,
873,289,338,160,829,290,115,776,205,107,690,410,094,374,872,910,539,297,540,
252,696,416,135,414,784,640,871,909,139,116,015,675,233,166,647,539,440,951,
026,704,739,316,646,412,816,556,003,960,037,425,033,109,415,769,161,416,005,
346,870,872,212,627,553,662,255,379,862,415,533,430,964,159,972,450,972,316,
293,982,491,098,017,675,554,472,262,741,694,503,668,870,317,729,074,527,324,
626,744,655,633,920,243,860,118,836,086,669,240,880,916,510,326,655,977,484,
179,299,615,169,713,483,887,632,197,515,571,597,468,832,222,923,872,841,408,
903,235,651,576,975,594,486,714,512,648,088,976,891,076,411,756,360,877,334,
633,057,840,263,330,411,027,941,335,620,805,324,292,739,964,471,243,902,593,
149,491,639,582,978,166,190,136,817,387,877,518,236,672,462,040,600,554,255,
576,975,977,373,794,582,177,498,723,200,168,386,234,867,610,242,639,711,067,
820,219,114,943,026,058,384,034,873,896,834,321,582,164,522,794,908,008,097,
244,191,338,626,031,954,978,709,373,868,636,327,440,041,800,939,951,516,202,
205,584,089,513,501,302,656,510,367,539,908,420,286,207,735,643,102,762,210,
439,156,428,501,620,706,874,377,489,962,319,556,945,710,983,829,828,354,655,
206,359,691,352,852,519,187,190,714,336,908,267,529,900,876,463,119,089,647,
962,161,721,065,268,372,819,313,396,557,908,596,816,627,621,316,946,588,620,
191,925,981,862,011,811,596,021,828,633,381,527,404,738,675,971,748,348,195,
690,887,486,354,275,822,550,226,549,126,696,502,705,785,608,590,488,140,935,
166,090,664,007,615,487,442,216,599,003,825,272,103,284,211,401,190,247,419,
925,763,707,536,008,051,288,794,145,581,036,373,479,809,137,903,075,664,890,
421,328,988,361,415,731,883,251,662,886,695,175,469,626,502,692,848,383,948,
531,987,010,374,172,505,250,252,741,555,758,447,858,034,370,928,162,321,926,
830,922,758,123,603,843,596,027,242,048,330,706,331,082,934,826,788,107,022,
583,527,372,176,334,466,382,295,993,978,526,896,498,810,866,502,226,358,198,
437,652,771,133,649,467,273,456,679,110,562,654,494,783,972,929,327,286,935,
431,563,301,469,271,996,911,649,853,321,888,521,030,188,600,885,395,647,085,
196,583,017,974,901,411,218,556,616,030,723,181,963,759,156,761,724,865,131,
186,969,354,020,304,444,858,639,204,432,792,912,012,701,060,866,826,787,656,
690,613,482,394,624,577,942,887,810,831,079,827,704,986,903,818,940,114,297,
204,428,285,793,397,612,242,986,022,852,294,584,662,962,872,387,281,867,894,
963,492,457,631,224,546,210,044,955,809,036,385,591,469,420,341,978,991,261,
981,704,555,307,514,409,616,983,051,343,476,875,458,021,729,542,810,934,585,
099,318,589,891,789,447,825,448,448,744,392,444,226,278,433,530,156,898,328,
400,901,442,679,142,266,198,561,288,580,102,271,837,599,553,049,667,287,687,
310,213,072,620,272,023,671,286,923,848,093,707,083,244,851,736,069,838,120,
671,188,100,377,100,213,515,360,219,099,015,413,836,651,780,587,615,183,333,
877,471,620,255,429,420,766,675,573,308,366,867,793,387,000,513,340,122,161,
221,894,716,919,942,211,594,680,622,103,265,908,347,508,880,630,795,796,323,
738,882,825,681,174,861,092,541,371,301,224,823,103,982,606,944,091,543,402,
546,300,787,283,616,408,623,846,964,073,780,957,376,365,620,167,034,725,009,
067,436,451,746,891,487,046,737,853,559,336,909,041,037,577,219,865,980,128,
989,012,246,464,015,935,586,617,298,499,368,322,740,417,102,790,557,352,560,
990,221,798,701,429,859,639,841,018,806,100,270,031,426,127,178,681,362,976,
931,514,099,868,489,627,182,604,899,734,974,686,590,944,735,844,963,628,992,
417,373,794,287,430,387,439,797,934,386,538,582,788,290,226,393,525,195,432,
221,838,421,149,914,745,607,491,070,413,825,331,332,696,281,466,999,306,065,
258,760,005,581,498,892,200,574,331,592,588,503,916,807,339,790,843,015,891,
349,333,834,948,938,669,913,146,386,558,717,663,983,047,915,616,592,996,958,
890,014,928,762,954,122,209,010,736,685,195,400,639,154,063,470,142,373,283,
039,545,241,625,290,170,297,275,400,494,842,238,157,225,636,856,695,336,727,
490,153,086,136,289,777,678,380,346,706,515,409,782,903,345,478,199,333,753,
627,775,303,383,258,977,459,221,657,750,540,819,274,551,108,464,481,033,768,
985,270,476,280,070,741,087,842,414,283,166,679,281,270,541,946,792,572,142,
369,207,556,543,492,542,720,801,747,828,114,565,209,408,526,545,642,216,861,
758,252,460,086,772,455,821,524,027,017,032,993,706,079,451,846,262,107,403,
016,464,653,187,028,527,056,199,028,833,821,025,488,149,269,354,942,031,309,
184,731,358,309,872,251,545,392,695,637,806,199,148,602,114,039,027,054,670,
646,457,216,042,163,494,655,410,914,400,100,638,369,959,043,441,694,731,276,
506,654,736,147,002,535,890,182,403,614,601,789,270,787,126,165,516,471,178,
936,297,478,569,196,653,559,951,396,965,499,854,102,882,428,281,872,678,707,
367,096,658,098,158,872,812,420,988,180,126,909,810,409,154,102,941,400,186,
904,569,557,590,779,947,342,733,385,012,558,298,863,232,570,060,454,581,057,
739,476,915,504,559,398,239,005,273,430,989,985,202,272,179,433,678,083,524,
198,069,476,865,355,430,160,996,254,734,289,267,987,597,844,169,877,562,944,
363,494,986,885,302,337,661,524,410,968,761,406,865,435,586,171,126,628,474,
451,128,726,188,130,763,092,871,407,873,242,873,452,722,353,815,217,105,349,
114,635,613,910,825,609,442,338,440,381,860,113,864,196,656,087,107,695,937,
150,323,171,593,523,341,121,603,012,056,041,656,553,069,648,474,488,017,958,
988,673,196,146,818,099,644,564,515,923,690,298,433,221,669,272,814,574,207,
793,620,801,496,519,079,147,733,354,314,716,734,453,907,903,787,220,230,981,
317,377,326,897,167,335,625,531,018,496,322,154,301,884,283,378,183,634,314,
132,602,556,771,115,788,865,937,090,384,455,475,460,910,593,609,393,847,900,
143,939,776,693,047,019,167,274,854,305,778,423,812,399,030,624,251,177,460,
027,125,288,852,941,240,825,252,103,074,022,435,734,227,961,357,410,811,418,
500,568,834,599,652,700,880,405,785,762,061,996,214,507,308,216,803,331,492,
451,029,001,167,844,128,852,156,118,459,477,567,048,499,252,436,148,809,002,
825,256,180,179,269,697,469,352,302,423,625,908,169,654,911,500,501,917,171,
674,283,433,320,424,881,156,403,192,857,113,976,370,263,111,661,517,290,730,
666,049,690,093,055,881,173,804,974,959,031,693,889,777,130,101,455,249,269,
902,029,153,492,915,015,811,765,995,358,240,497,271,554,721,092,609,271,297,
422,490,450,444,921,478,322,017,230,134,967,419,351,504,407,993,609,865,908,
546,266,062,979,992,187,039,719,602,695,095,930,092,520,810,855,458,483,278,
596,224,528,193,894,368,298,468,805,297,005,937,522,097,250,655,977,597,123,
960,288,863,395,375,261,975,873,030,384,731,356,011,274,810,531,963,162,284,
586,033,809,377,576,250,850,422,748,666,656,024,047,535,654,382,881,661,624,
552,510,793,218,605,114,048,132,591,658,425,922,853,250,649,558,930,773,209,
224,521,286,796,108,351,960,137,484,797,287,124,342,361,978,393,009,947,779,
974,989,990,688,176,515,367,658,918,516,022,052,721,373,875,783,093,062,814,
442,892,562,402,624,817,649,618,486,207,951,923,564,620,379,167,863,011,504,
984,680,320,585,700,972,133,725,027,042,463,890,450,672,367,776,594,736,734,
735,446,668,008,957,164,335,138,964,275,045,231,093,178,116,165,927,246,125,
486,384,075,283,581,587,339,679,320,661,611,415,753,941,889,835,060,444,102,
756,257,463,500,103,129,202,850,952,107,882,046,480,724,982,987,871,093,307,
222,222,461,238,031,468,435,957,967,525,190,555,430,498,410,365,106,358,510,
761,723,140,167,092,302,856,979,290,066,570,425,325,430,345,839,696,530,078,
869,939,928,834,019,842,161,261,083,112,091,319,140,582,833,184,437,583,977,
836,630,432,821,583,284,465,669,482,592,700,596,191,464,736,908,375,384,894,
465,747,286,131,914,869,892,358,077,727,690,669,240,391,531,224,277,184,664,
970,075,321,182,751,436,967,460,628,991,239,688,986,001,589,376,205,300,952,
195,898,129,332,307,391,711,921,627,115,714,696,237,902,554,785,493,839,834,
515,896,842,998,850,187,443,158,965,226,624,747,165,744,444,064,198,289,327,
926,606,745,166,728,008,894,918,684,181,719,056,588,501,694,247,039,897,453,
459,175,554,163,798,896,777,379,218,102,681,731,357,333,009,278,077,611,584,
258,466,983,299,196,406,099,826,365,915,419,083,729,518,044,589,538,075,865,
094,183,787,076,479,414,257,486,171,146,689,406,648,891,595,562,199,791,624,
258,049,866,974,784,314,331,274,895,432,930,058,066,370,642,071,010,618,945,
632,190,816,586,763,465,211,948,577,419,605,839,521,654,371,276,920,182,301,
201,335,491,752,295,193,410,304,686,221,257,484,898,208,618,496,884,869,027,
472,959,912,226,839,461,066,120,487,207,187,856,568,243,992,701,332,518,806,
211,605,237,377,173,954,653,315,557,475,156,406,726,277,710,855,905,897,491,
312,077,472,776,868,811,546,961,887,597,119,692,395,253,464,507,730,119,716,
635,443,970,137,309,089,184,776,765,274,587,932,548,845,168,337,617,968,258,
434,832,378,608,384,359,074,423,097,438,488,975,338,798,947,877,691,323,415,
534,175,166,503,564,010,601,064,521,326,649,276,345,514,026,454,507,189,195,
695,583,855,027,765,740,153,502,409,941,357,291,858,161,646,587,712,119,409,
230,867,001,162,507,834,529,882,540,873,399,861,138,505,593,661,784,312,693,
917,326,809,475,438,451,750,547,542,273,891,703,511,856,097,627,353,479,048,
651,028,085,910,487,187,855,006,712,932,158,409,895,675,179,425,409,172,015,
398,237,094,818,294,636,890,729,982,448,979,311,627,875,360,067,256,369,832,
925,612,458,820,624,347,854,100,469,979,581,985,697,818,443,833,148,833,311,
128,654,031,594,166,336,833,455,118,739,155,593,784,662,601,581,905,335,450,
717,465,670,443,277,945,727,156,782,783,996,892,033,060,698,941,922,392,960,
339,168,153,580,594,389,228,013,074,503,022,968,260,871,948,650,030,958,608,
888,345,397,807,487,678,852,910,498,810,361,456,728,647,856,683,000,977,132,
976,802,445,711,520,310,932,523,452,753,710,823,564,566,697,940,538,629,899,
137,646,621,664,895,844,490,588,201,333,384,040,369,011,889,366,776,731,320,
047,395,025,646,579,387,370,314,783,321,630,924,589,326,601,861,006,946,630,
170,521,088,788,305,512,901,599,445,548,405,026,916,218,408,317,374,092,460,
819,538,909,984,382,872,985,475,456,549,037,923,777,778,615,211,323,347,917,
285,666,420,516,722,552,791,676,034,421,877,188,875,258,468,761,515,468,382,
277,340,422,780,584,137,638,040,572,966,895,308,209,481,690,669,495,974,662,
056,948,526,473,627,874,053,584,251,526,198,692,236,574,856,464,915,475,089,
261,662,715,309,614,230,902,861,096,937,713,080,485,155,010,577,521,877,379,
163,154,515,259,490,928,202,935,037,704,293,237,705,921,065,163,991,584,180,
535,960,847,099,435,935,633,101,806,762,555,495,323,083,505,923,582,549,472,
518,943,843,537,297,580,221,242,548,894,666,847,954,338,175,352,258,780,440,
375,285,541,678,671,931,551,809,823,946,547,490,582,188,843,495,365,070,334,
594,461,406,670,792,383,041,422,387,231,903,297,929,843,198,663,757,745,357,
086,635,180,390,474,326,828,260,710,254,234,765,428,516,033,505,977,931,551,
242,528,679,782,348,240,548,255,684,720,024,885,755,162,096,608,452,015,840,
869,008,130,842,374,301,324,569,138,554,481,845,691,450,149,265,969,478,934,
794,345,374,918,161,057,798,429,207,410,895,319,302,555,554,027,599,359,187,
044,124,844,670,106,422,904,328,327,128,928,935,763,137,438,899,987,072,759,
192,521,465,580,226,269,718,854,590,392,081,598,932,889,757,776,696,230,213,
148,493,029,096,515,097,081,018,508,490,416,488,578,480,541,208,595,900,067,
247,885,505,283,501,440,253,017,728,764,875,922,545,200,142,671,895,363,462,
340,635,846,776,101,573,553,174,095,532,004,925,637,063,899,076,109,992,355,
685,896,719,376,996,236,830,114,338,547,761,767,038,353,192,876,423,973,453,
176,913,866,263,077,286,436,951,033,506,611,330,898,126,971,166,149,076,436,
541,449,465,430,038,318,243,687,235,657,524,494,716,367,106,851,947,398,753,
251,239,580,286,010,234,593,251,146,054,657,535,059,489,926,474,114,270,479,
188,266,563,646,054,231,443,367,803,348,976,353,086,887,731,482,996,335,187,
352,264,200,598,806,811,648,349,336,604,234,771,797,339,961,729,331,327,371,
858,638,020,111,222,145,848,846,099,935,807,557,597,463,457,801,861,913,341,
150,184,784,781,042,537,272,349,656,708,455,953,527,172,275,364,613,246,053,
833,772,270,170,352,824,390,305,430,762,141,380,451,703,528,144,770,121,862,
888,850,256,798,542,332,596,605,490,475,255,880,466,678,678,305,656,527,795,
914,016,687,454,303,500,049,443,540,477,552,331,821,211,826,560,752,410,345,
752,344,807,226,611,894,014,767,692,156,137,080,789,660,035,915,984,046,444,
745,190,578,755,866,262,529,463,820,361,822,764,913,719,565,499,243,374,058,
670,589,152,883,371,284,532,594,976,099,984,947,495,307,692,080,205,846,536,
287,839,200,943,025,987,375,390,228,011,824,471,597,561,869,097,648,373,279,
788,486,332,533,257,390,439,602,365,313,221,853,636,196,334,087,154,129,266,
924,070,162,952,069,775,601,861,588,093,979,227,536,067,223,683,686,194,025,
921,094,858,151,718,347,716,737,634,587,286,460,899,308,814,463,214,985,071,
431,057,757,060,153,906,431,566,442,883,751,597,503,315,053,740,538,177,541,
125,071,720,615,890,311,945,850,874,195,354,588,753,129,694,600,020,843,699,
758,446,646,575,809,114,410,664,583,022,732,674,812,535,972,848,466,748,428,
319,823,787,094,741,522,378,323,677,771,705,053,578,578,278,997,788,306,182,
551,754,998,595,977,376,486,754,191,021,934,500,632,729,166,086,610,442,876,
040,554,335,549,699,071,414,275,174,352,820,786,682,134,121,913,922,650,893,
697,164,482,017,291,157,675,964,064,215,070,849,846,650,221,125,360,291,581,
208,355,943,252,200,899,890,540,681,896,081,401,321,759,904,276,715,878,724,
819,827,838,722,640,999,956,199,821,636,815,453,827,644,791,434,218,299,622,
037,810,077,450,180,280,674,626,323,260,993,154,299,608,020,538,683,802,504,
005,940,358,953,687,621,011,951,388,633,697,923,261,015,918,646,010,787,678,
381,790,897,363,272,570,836,573,382,399,273,207,640,044,957,457,054,728,738,
042,487,329,929,315,510,836,727,806,646,996,803,376,519,373,990,646,247,226,
939,850,920,113,777,499,788,033,784,766,222,075,512,969,891,435,302,265,325,
281,016,329,597,060,514,008,523,121,897,473,361,987,057,531,083,735,453,489,
245,349,503,812,436,166,326,976,480,485,571,358,871,023,892,447,128,064,490,
663,161,558,507,727,234,995,126,127,678,413,704,738,944,439,806,723,353,463,
924,680,217,452,287,543,404,993,813,530,427,970,502,339,824,966,232,392,292,
668,217,841,126,871,139,156,662,043,809,452,263,250,647,463,069,535,078,065,
581,617,572,401,379,561,278,713,374,633,006,242,374,956,658,898,233,631,495,
315,731,194,847,352,035,688,012,587,858,451,801,824,081,196,610,567,879,377,
425,057,800,244,837,256,010,690,410,531,876,903,770,830,337,741,089,935,559,
087,149,747,828,253,484,499,520,599,011,159,563,762,040,337,010,666,273,980,
208,609,294,259,137,240,578,179,729,411,890,171,033,282,395,070,731,262,628,
799,162,792,662,280,397,903,063,529,650,045,542,599,275,577,874,842,878,595,
256,381,350,141,381,807,797,683,214,836,301,495,680,646,931,031,137,903,963,
257,006,539,992,724,957,254,415,055,028,829,497,355,248,496,492,222,335,857,
067,724,080,407,430,885,511,536,769,679,106,679,721,478,854,593,521,490,976,
197,767,391,735,470,620,008,950,761,942,307,621,373,107,541,390,555,090,945,
367,111,546,144,872,209,985,208,966,755,831,791,602,734,158,470,730,486,815,
247,281,779,254,176,755,970,078,780,848,881,830,752,844,805,133,853,758,343,
069,270,813,342,857,857,722,205,800,476,665,161,018,520,197,827,690,430,274,
560,551,539,841,301,744,701,566,478,810,981,333,711,426,627,802,974,620,670,
896,388,804,174,739,166,567,576,939,473,760,191,514,938,709,288,878,570,062,
757,361,525,413,201,323,621,290,797,840,846,900,584,030,324,863,131,353,427,
604,753,888,364,627,392,848,359,831,228,413,060,027,544,943,694,637,548,892,
556,256,736,672,524,455,185,189,316,847,028,758,292,432,520,046,119,816,416,
771,141,222,951,933,637,135,339,740,676,678,697,729,335,014,421,773,252,612,
197,083,501,171,578,369,153,845,727,501,104,684,124,837,679,478,968,389,483,
559,677,855,842,705,913,708,338,198,445,229,613,175,313,873,167,654,509,559,
863,066,679,077,229,539,611,334,875,130,564,910,295,565,654,137,994,579,062,
436,166,712,493,892,838,955,035,657,729,989,697,420,891,923,073,034,227,884,
073,458,531,127,749,282,559,539,115,979,479,963,848,489,493,621,566,154,748,
815,645,295,913,095,116,148,240,722,968,177,776,149,040,752,918,705,055,071,
107,710,158,129,366,748,759,696,383,995,286,558,267,680,287,848,763,697,761,
967,374,752,380,514,388,886,719,118,321,370,095,354,151,858,850,656,097,184,
980,461,766,618,118,454,717,878,212,161,272,208,609,954,316,154,319,620,641,
597,664,594,665,272,645,314,086,339,776,404,457,944,221,897,553,253,240,719,
973,205,889,938,099,149,016,073,060,925,467,341,428,580,758,264,703,705,943,
313,106,210,039,807,454,252,465,178,167,710,696,469,054,792,226,409,019,046,
382,573,514,429,883,626,842,351,362,343,517,637,114,471,110,225,696,945,072,
758,855,140,761,228,508,782,772,286,611,274,297,676,736,619,508,017,000,632,
417,453,727,243,121,090,686,403,970,552,963,703,418,599,142,374,510,448,197,
995,323,957,079,760,822,030,314,990,302,950,999,957,005,396,702,726,140,549,
053,270,031,971,574,512,855,286,954,935,540,327,566,523,905,786,768,288,638,
933,925,732,094,755,764,941,448,231,331,506,458,741,872,740,208,368,739,624,
951,040,241,418,872,819,575,483,338,605,030,915,305,691,222,502,366,449,111,
564,001,926,861,801,506,954,612,393,747,788,863,547,523,576,417,781,027,067,
896,477,556,687,599,280,850,730,733,235,788,469,818,038,652,044,582,738,929,
830,119,573,666,234,502,934,785,312,763,369,193,686,262,683,512,264,000,199,
959,654,354,309,726,259,947,492,654,549,247,026,147,281,541,837,165,004,295,
410,776,572,065,316,007,520,317,757,911,075,526,442,864,959,179,550,792,883,
360,612,448,804,142,601,421,653,135,935,167,563,249,412,782,783,357,214,211,
703,196,215,607,008,261,885,793,402,293,079,007,122,904,517,609,713,941,505,
624,090,215,997,268,904,982,831,324,919,754,683,067,341,991,793,931,422,443,
612,272,909,732,250,310,510,888,863,292,173,756,154,993,536,331,782,132,338,
000,437,212,354,358,714,294,771,553,839,062,811,422,813,427,624,754,693,870,
146,091,904,332,934,722,799,978,533,663,361,051,482,034,907,284,068,523,959,
235,817,719,939,464,800,562,502,929,931,458,369,326,670,340,053,146,160,802,
784,725,711,011,400,661,224,751,710,111,138,104,301,130,462,561,379,881,437,
583,941,372,119,807,347,163,559,485,650,617,846,138,788,742,299,744,127,580,
652,843,160,213,842,887,966,121,174,923,301,241,696,333,207,306,698,951,630,
589,275,057,829,723,346,068,795,723,343,813,993,248,682,647,119,161,933,859,
484,210,639,045,780,288,098,294,948,802,684,541,473,979,835,919,800,259,160,
823,958,975,159,070,329,316,729,031,022,542,202,148,184,539,445,574,860,636,
083,157,589,440,632,019,344,832,124,967,330,166,173,073,326,742,593,529,010,
026,794,199,898,653,291,500,912,469,147,787,665,112,247,524,467,212,756,557,
609,675,444,565,105,953,524,925,975,620,551,990,300,595,608,932,320,623,636,
608,284,355,106,261,483,734,651,799,600,850,143,859,807,591,594,040,144,534,
075,082,559,169,423,738,810,330,900,515,383,429,928,790,739,560,290,875,674,
409,355,251,816,112,375,117,141,040,184,219,988,780,628,441,097,379,138,968,
068,907,504,105,662,864,574,454,336,418,611,058,559,179,615,375,577,253,006,
114,532,618,392,476,285,003,655,273,411,462,869,581,451,339,315,988,714,683,
007,943,916,845,080,901,623,558,734,127,816,625,410,601,070,147,770,056,702,
976,575,426,580,051,697,331,079,728,859,001,414,057,766,526,143,491,973,332,
477,268,468,123,102,768,413,658,604,848,273,650,813,607,995,329,211,120,063,
149,016,444,612,182,537,923,289,800,632,769,227,568,620,406,117,940,363,142,
061,876,463,033,260,906,058,105,016,595,453,921,861,038,255,820,376,543,454,
526,513,437,800,135,072,876,679,407,517,171,325,432,833,312,323,422,643,402,
471,347,249,888,776,359,202,351,370,826,100,335,684,168,721,432,820,071,097,
937,828,549,457,997,731,273,788,111,172,203,369,339,412,247,243,600,348,200,
355,902,139,300,252,759,770,519,613,508,946,776,627,217,593,504,902,388,697,
558,604,855,100,868,071,157,934,073,752,983,586,761,900,015,267,018,027,905,
545,801,896,805,792,605,229,219,458,447,077,835,136,247,354,662,786,115,175,
675,680,195,136,982,335,505,908,482,223,054,646,922,702,197,966,946,055,038,
116,573,535,921,796,275,565,127,843,760,664,007,158,772,399,925,678,413,853,
558,602,646,156,614,106,203,357,632,444,942,628,099,732,983,887,499,034,953,
296,337,488,875,224,347,402,506,896,560,574,078,143,747,831,899,954,681,506,
086,942,878,830,143,214,704,674,855,256,858,599,116,374,074,373,808,035,205,
300,823,907,156,567,507,042,260,104,718,709,579,911,458,286,842,847,857,760,
628,207,992,492,722,357,852,972,256,038,298,671,299,550,831,863,198,012,245,
252,269,079,054,596,424,584,604,706,202,927,536,208,967,192,948,358,234,469,
176,239,369,645,587,455,487,784,600,651,372,103,470,163,652,231,357,417,587,
572,858,514,408,238,634,413,531,934,784,029,236,246,572,227,272,998,571,122,
903,254,590,672,558,446,100,194,232,232,614,761,127,697,269,438,901,844,993,
233,343,237,955,493,552,194,340,869,347,113,779,062,499,674,539,255,152,751,
286,445,133,546,524,376,497,023,922,727,768,496,027,624,848,683,247,781,126,
877,579,542,321,331,334,158,039,769,182,237,296,663,072,291,300,812,006,352,
549,731,241,337,768,721,960,408,440,004,915,317,847,437,550,221,988,375,388,
278,205,488,648,262,670,157,198,781,096,521,723,131,263,650,710,742,791,496,
206,733,120,162,437,299,540,073,197,540,758,479,108,778,125,369,629,751,266,
494,859,618,715,776,474,713,791,833,905,384,820,808,318,675,246,446,146,820,
776,087,788,563,586,310,086,269,324,405,470,876,628,644,946,360,185,369,991,
753,721,642,506,942,611,253,457,990,454,114,542,194,454,523,820,612,838,576,
068,031,606,027,224,048,303,600,570,014,696,249,863,345,906,437,699,489,868,
523,819,767,788,149,860,066,826,545,635,737,329,929,557,272,883,597,704,773,
718,076,050,300,921,958,096,378,129,741,280,930,155,653,557,369,788,681,408,
977,484,767,583,691,621,401,103,476,680,525,189,607,260,130,783,961,220,926,
103,226,774,799,802,472,125,134,053,229,770,958,989,821,307,515,220,213,161,
183,198,195,483,298,332,543,799,394,910,296,764,347,863,561,793,959,880,659,
031,796,778,425,200,772,578,696,519,628,337,676,546,534,168,898,776,912,532,
435,127,746,467,003,145,380,718,936,667,618,369,439,626,083,004,085,613,606,
235,747,799,531,435,936,230,421,408,643,650,993,832,187,571,791,893,790,215,
715,777,504,678,413,381,292,507,926,611,475,733,972,305,435,579,876,194,673,
580,294,858,205,262,872,116,640,972,564,155,870,015,136,165,589,779,964,552,
452,691,964,435,046,789,880,261,495,627,514,986,292,687,499,736,820,656,146,
518,577,651,127,816,769,967,755,284,460,354,585,617,249,043,251,425,149,455,
948,753,596,365,123,620,359,821,466,272,741,360,002,564,321,847,076,439,003,
160,415,577,511,221,425,953,755,175,391,950,971,174,603,238,554,948,678,291,
460,405,472,844,186,169,176,049,381,908,571,289,590,052,661,456,803,439,969,
622,130,687,657,482,112,976,096,563,748,077,691,194,215,596,942,060,830,307,
712,004,652,417,775,628,757,951,282,102,116,676,589,399,249,635,923,416,218,
448,014,091,253,048,769,732,151,493,362,204,962,364,231,152,673,067,877,928,
485,103,108,185,079,576,385,673,952,034,596,537,312,241,613,829,853,579,547,
866,603,526,826,517,693,875,459,683,889,464,715,383,974,304,837,362,494,399,
305,821,524,978,614,856,684,344,338,523,927,534,448,502,855,672,918,749,491,
144,120,359,906,033,001,892,138,281,582,444,039,381,521,741,664,664,885,769,
696,059,456,035,940,532,520,306,283,469,548,544,771,357,772,554,247,413,969,
528,568,947,987,952,722,179,104,211,870,294,495,727,754,204,423,164,488,265,
200,543,642,536,125,682,985,176,184,958,095,307,503,479,231,614,400,796,909,
428,132,007,200,836,275,610,659,318,185,374,988,974,499,361,587,052,675,587,
130,644,730,060,923,295,160,564,136,856,851,668,782,479,211,985,414,284,841,
189,245,937,241,621,174,968,195,225,637,887,104,420,895,963,734,528,922,317,
813,524,593,429,699,927,005,546,516,676,498,616,615,583,022,180,282,031,595,
802,185,806,066,585,771,219,156,375,059,017,374,747,790,978,126,911,298,209,
359,482,491,194,846,818,699,936,232,677,959,709,671,880,876,060,348,336,492,
410,928,519,961,146,060,094,188,384,678,745,367,905,589,800,140,181,166,791,
589,055,451,273,147,464,714,390,806,775,348,036,425,015,449,338,151,140,493,
132,076,932,033,037,506,380,177,558,660,275,553,261,294,911,977,032,781,043,
810,641,834,867,608,854,499,373,745,493,736,291,971,289,735,668,746,167,199,
228,411,129,139,983,207,439,363,898,466,134,440,938,321,371,721,203,620,053,
759,486,522,162,768,443,621,615,759,761,648,125,778,054,693,759,279,713,445,
308,215,224,027,705,055,414,815,500,783,240,778,705,321,434,793,361,272,356,
387,588,526,642,007,261,171,693,902,124,737,058,658,875,509,905,426,843,152,
244,658,660,982,687,164,864,881,434,682,953,377,205,017,290,970,977,506,699,
000,319,239,172,479,587,519,324,516,916,037,440,517,397,209,294,333,227,352,
496,057,769,671,117,960,353,931,106,751,473,274,004,333,153,950,152,757,573,
813,068,140,288,465,298,970,438,014,676,928,796,575,984,851,384,649,460,213,
357,065,741,698,319,827,275,776,007,307,784,733,044,712,770,207,843,586,734,
205,512,586,441,098,839,332,131,077,874,312,952,214,396,643,421,788,213,788,
562,488,925,249,233,278,084,334,157,408,015,508,821,163,005,512,044,233,430,
983,053,695,053,204,517,360,056,855,436,486,518,269,096,933,816,864,515,049,
441,464,062,912,615,031,165,967,922,709,213,567,197,031,070,401,194,590,301,
557,417,490,516,752,142,478,522,120,667,958,114,518,596,653,382,791,904,655,
883,967,548,667,316,724,013,822,196,772,656,368,281,044,461,360,636,818,001,
538,147,714,070,598,411,104,527,996,048,200,605,947,111,704,277,027,446,465,
796,227,782,672,311,714,746,543,456,076,561,007,301,163,776,821,881,985,984,
586,993,147,531,398,801,132,513,876,999,888,128,786,855,020,427,099,456,320,
956,540,760,106,691,047,415,983,475,806,313,668,816,239,553,876,458,530,064,
408,790,259,410,417,769,992,526,321,528,089,840,461,689,427,539,981,939,656,
040,791,431,650,087,619,541,478,728,534,101,031,956,708,429,146,192,873,889,
032,488,950,494,549,257,644,799,910,794,608,030,477,970,744,786,355,199,778,
483,578,104,861,007,518,698,665,391,040,691,614,920,590,025,103,108,934,396,
556,379,019,271,130,242,743,424,205,884,421,412,588,030,472,292,126,896,012,
778,130,669,564,655,417,726,758,430,098,327,530,692,751,559,373,864,530,937,
801,320,110,969,503,316,888,165,219,863,643,731,053,502,795,147,009,877,668,
418,657,132,592,593,467,611,363,540,111,302,452,455,847,713,450,075,212,777,
431,853,633,911,650,603,630,430,625,694,480,156,629,666,053,498,480,890,035,
462,463,013,039,275,980,887,301,796,695,537,266,890,098,300,012,291,912,598,
802,228,632,066,568,708,743,849,667,266,620,458,384,379,045,547,424,643,308,
674,214,117,887,254,348,645,465,910,120,174,138,766,467,719,452,794,856,076,
064,660,549,320,778,774,360,699,399,131,487,199,656,599,289,588,517,003,716,
771,142,288,861,687,869,549,337,573,735,473,262,424,298,564,383,968,060,626,
364,082,632,836,278,027,718,638,826,051,582,639,499,279,148,388,882,627,348,
546,783,249,132,434,628,636,146,130,300,297,680,034,121,706,591,256,493,601,
657,212,687,506,962,827,005,220,207,468,038,631,850,186,007,931,631,828,094,
639,635,269,452,989,958,538,999,948,302,865,197,549,596,960,544,205,953,649,
600,231,280,045,653,834,132,246,978,935,505,340,856,887,199,930,863,116,719,
195,838,757,949,839,522,661,846,315,727,695,045,925,997,105,135,224,675,330,
492,167,412,132,050,528,940,094,717,643,272,981,799,356,827,182,616,019,051,
753,745,615,976,316,430,050,969,385,033,388,702,335,423,507,321,523,234,695,
630,919,050,771,621,733,611,698,003,711,622,545,570,107,318,437,289,853,411,
298,256,735,075,852,595,014,700,009,811,776,104,391,320,007,419,158,150,009,
339,669,315,155,120,296,963,121,813,977,298,711,041,862,042,437,174,581,756,
538,964,973,661,233,472,253,905,651,882,020,582,164,268,156,974,703,950,868,
230,906,485,727,664,566,881,694,385,111,225,347,334,653,743,177,214,852,356,
656,622,036,095,790,323,903,261,446,375,207,372,495,773,995,774,747,726,681,
101,039,446,907,887,474,607,968,826,122,130,452,012,062,151,108,680,132,355,
991,130,239,780,865,666,192,518,568,758,260,765,926,358,948,155,081,337,265,
407,999,978,234,482,442,654,726,419,388,345,510,719,376,163,091,196,022,001,
860,036,532,698,689,692,156,346,892,917,531,414,084,615,503,999,181,721,300,
747,215,321,156,158,929,894,313,555,663,992,923,237,195,533,358,160,559,130,
435,141,401,141,689,694,782,689,153,712,003,405,670,820,204,945,851,543,430,
240,478,410,512,726,907,685,209,886,276,928,301,263,595,911,332,917,712,598,
493,670,397,620,316,341,866,481,685,506,293,959,735,304,196,759,665,271,716,
072,576,874,206,719,338,492,046,531,688,439,756,191,265,360,306,481,291,470,
544,725,136,619,390,290,409,916,795,736,087,827,669,974,092,335,439,515,384,
364,838,226,895,114,223,112,806,963,484,698,494,672,889,435,950,326,985,229,
931,103,853,071,610,279,947,887,741,919,005,828,388,062,245,783,093,532,609,
280,978,271,795,348,146,684,856,395,421,375,330,270,052,900,741,811,204,323,
507,758,745,357,178,176,973,871,126,305,915,083,671,220,226,498,598,276,216,
852,890,961,978,325,650,478,677,348,302,103,922,507,972,522,418,749,342,373,
783,339,360,537,863,255,988,986,481,529,747,240,579,305,304,670,244,172,177,
216,875,189,607,263,556,665,218,191,470,194,219,432,805,858,642,918,193,340,
526,695,852,321,874,589,057,786,065,714,555,645,727,401,594,395,333,602,435,
275,170,124,766,231,450,954,182,558,792,427,942,048,244,577,994,034,685,523,
533,094,661,074,102,224,154,210,462,031,154,429,368,583,556,363,131,432,606,
285,443,870,871,495,137,015,658,091,102,046,450,241,536,870,900,408,347,335,
877,876,388,997,604,761,904,801,404,952,190,934,743,394,778,155,024,174,104,
814,305,317,947,008,048,815,101,011,069,426,934,146,383,347,957,613,631,655,
625,656,486,172,153,936,493,746,170,770,516,018,406,125,959,868,730,380,957,
120,883,337,101,575,878,135,926,216,943,518,692,299,315,431,208,679,901,374,
958,422,869,815,822,423,678,060,455,214,674,187,317,558,501,331,167,425,599,
493,639,498,411,721,303,385,848,925,854,340,167,453,663,605,018,166,124,296,
677,418,040,970,295,670,974,267,242,908,953,501,596,493,878,916,499,225,807,
250,194,118,509,220,541,209,289,624,437,962,908,126,137,135,149,216,382,798,
133,400,991,524,251,527,696,077,064,599,400,790,346,176,741,020,086,186,334,
427,191,421,590,994,769,912,986,986,220,187,311,888,067,948,320,933,866,666,
316,924,939,689,049,500,726,228,007,228,234,016,967,545,828,309,558,549,383,
231,574,954,066,521,209,535,457,666,628,611,593,333,265,264,176,226,818,487,
338,777,704,283,009,660,768,822,235,854,790,177,642,838,885,675,055,415,356,
456,972,297,656,750,833,925,795,465,377,843,059,130,645,723,263,566,599,726,
959,601,367,721,900,894,560,538,185,153,941,676,225,678,177,055,196,271,301,
304,553,905,650,616,694,286,227,928,016,087,153,549,953,371,417,539,020,985,
493,387,756,968,822,077,099,793,906,344,675,620,720,964,426,046,217,190,552,
662,470,324,124,111,389,348,821,853,844,682,632,065,921,238,771,520,323,718,
391,711,190,376,029,321,345,053,344,235,172,655,417,540,337,197,237,203,768,
031,908,755,889,790,726,998,309,633,714,537,652,439,076,511,195,162,069,639,
536,309,320,246,600,382,798,564,628,845,786,613,167,941,432,421,687,924,520,
072,580,415,716,995,463,369,337,799,792,605,239,460,534,238,365,751,244,137,
111,537,843,792,489,190,292,738,820,873,276,418,091,691,707,093,421,007,832,
825,688,648,904,132,057,611,815,760,386,730,481,099,198,207,480,812,565,035,
334,768,416,630,277,177,299,712,868,423,085,521,553,060,010,910,348,493,900,
641,664,580,708,928,854,897,056,414,087,170,806,546,572,395,459,926,051,421,
300,085,005,407,007,044,974,178,005,048,388,931,725,785,131,889,671,310,260,
171,662,629,070,501,749,478,793,313,515,766,793,211,675,332,476,358,138,839,
964,463,471,594,187,384,272,928,573,089,808,587,695,011,776,957,039,097,809,
489,480,963,173,286,142,235,533,936,916,813,160,729,051,129,639,278,712,915,
341,967,393,086,197,611,386,538,124,004,514,337,791,692,031,745,798,779,135,
850,095,456,099,572,407,008,635,231,227,676,809,881,779,542,459,359,291,613,
964,541,420,548,490,716,804,393,555,228,073,515,322,753,091,059,535,127,620,
713,606,729,042,128,678,163,759,819,792,166,006,691,486,814,326,363,556,240,
465,818,070,418,331,784,168,932,225,151,661,612,857,536,655,970,713,546,162,
191,280,592,645,947,351,138,661,016,056,706,119,966,400,472,875,506,143,765,
724,173,749,101,978,540,579,876,650,070,247,563,948,531,842,657,088,373,449,
072,995,651,980,513,154,337,448,333,091,401,751,653,306,482,242,567,860,160,
180,376,097,106,181,154,303,050,931,647,541,157,557,314,141,727,297,725,802,
134,265,645,577,380,210,205,230,394,804,548,059,883,327,961,470,784,839,334,
368,932,903,620,581,234,444,067,585,723,799,713,449,516,193,962,663,712,368,
902,223,306,880,170,854,658,981,290,870,535,479,736,804,355,211,081,658,669,
485,749,097,884,777,453,903,000,600,359,116,257,106,012,501,092,704,325,563,
397,034,740,602,949,658,405,909,288,496,020,184,184,150,951,367,696,607,110,
854,524,903,959,338,060,211,816,747,124,633,982,894,595,730,435,348,063,199,
554,442,522,842,388,238,485,594,732,220,760,576,384,900,696,121,360,424,779,
274,061,890,843,435,321,854,528,947,839,289,877,692,569,347,077,894,997,326,
779,658,891,482,160,009,704,389,152,501,941,409,281,317,019,562,911,357,363,
014,956,257,372,330,826,855,841,563,667,065,095,479,742,198,430,560,047,491,
979,869,184,449,892,566,839,768,454,449,826,020,256,737,970,722,170,581,499,
687,837,078,658,393,564,139,507,251,920,021,799,416,715,499,993,396,938,027,
320,965,092,711,037,166,207,325,595,149,286,591,790,722,297,173,549,684,502,
126,802,302,305,213,674,648,949,157,189,713,806,646,133,014,346,766,089,306,
826,266,610,136,938,301,955,682,638,811,709,996,966,816,786,343,437,618,494,
845,330,758,794,029,366,143,870,344,432,669,031,217,815,521,224,785,629,944,
105,656,193,999,587,783,445,209,608,908,790,454,644,014,225,610,339,989,278,
024,746,229,383,763,442,443,170,462,283,522,877,881,665,713,102,710,933,841,
488,161,696,159,533,628,349,257,672,699,962,033,119,914,536,789,947,808,168,
726,803,193,997,149,411,327,907,105,844,947,294,866,512,342,402,094,793,557,
138,265,526,095,496,429,023,160,886,218,567,725,283,903,664,801,618,046,875,
857,375,281,645,835,136,508,622,700,853,661,430,296,064,892,068,372,209,702,
940,251,775,369,704,266,059,973,643,753,128,580,907,213,045,248,041,435,861,
249,945,165,831,599,215,236,358,075,076,595,610,922,322,291,538,022,608,757,
534,127,578,664,811,629,328,209,295,860,335,835,684,424,627,370,861,918,953,
355,884,524,477,680,114,858,759,261,447,718,938,414,067,445,536,033,909,267,
020,665,281,835,979,533,014,093,387,173,095,379,630,475,034,673,167,268,646,
092,970,270,604,483,579,998,024,150,266,634,029,479,627,210,937,730,617,868,
733,968,576,604,035,283,912,191,117,844,579,248,194,128,611,954,432,163,013,
333,944,321,882,968,448,879,752,496,934,919,258,862,241,822,916,228,626,990,
040,516,256,239,816,358,443,008,807,362,334,296,038,161,417,540,877,974,967,
733,331,225,366,212,561,753,560,133,786,980,831,588,984,292,846,461,237,005,
210,182,735,722,542,377,077,022,767,111,628,085,748,608,831,415,253,384,373,
713,970,560,698,959,729,520,316,615,769,198,853,313,922,792,299,904,791,610,
840,541,225,226,261,225,309,840,027,586,900,682,797,193,489,110,823,109,970,
185,163,403,723,073,318,989,615,865,695,452,684,451,837,555,368,234,599,312,
636,446,496,163,146,455,120,373,357,145,566,308,463,021,817,130,734,320,515,
029,786,303,864,314,286,505,380,529,063,490,262,803,210,450,387,536,323,213,
501,637,085,496,104,174,419,690,432,146,231,710,424,435,616,301,330,806,783,
075,580,194,099,852,129,140,231,675,736,478,426,320,361,255,150,739,565,750,
461,942,364,364,005,088,545,696,941,066,375,032,328,622,195,818,632,398,296,
341,376,758,772,686,499,458,880,620,248,692,804,637,807,290,167,836,301,713,
509,612,923,142,731,032,176,549,339,033,210,258,466,630,567,904,440,230,713,
297,216,838,354,234,937,094,071,059,278,085,603,871,416,861,204,624,858,301,
609,126,575,541,877,712,322,779,104,831,056,073,713,327,378,682,995,690,547,
096,554,430,305,589,175,347,457,097,469,990,760,301,757,591,335,967,680,831,
463,761,651,279,043,482,984,118,898,421,040,586,379,292,860,685,228,908,427,
240,932,551,811,862,103,257,996,452,603,151,773,625,066,402,566,348,113,242,
714,012,060,763,655,210,068,492,130,797,379,039,170,979,875,857,224,281,583,
036,125,097,518,621,417,334,475,041,851,002,611,041,031,176,011,006,734,744,
524,036,788,375,410,023,770,315,719,804,243,389,241,609,481,613,539,996,375,
267,799,763,748,265,821,054,911,453,227,239,948,724,002,902,050,855,336,882,
201,047,669,015,822,860,635,551,970,463,679,692,105,162,445,718,853,987,245,
332,469,051,289,909,038,988,402,983,325,317,440,258,503,514,036,061,288,798,
248,801,215,272,295,256,132,109,014,822,567,158,476,961,248,150,272,873,825,
039,402,995,387,150,140,247,148,812,918,075,661,957,059,950,451,111,075,168,
136,466,869,034,817,781,626,893,763,230,718,411,645,901,108,202,116,992,565,
812,463,813,023,970,812,243,525,253,245,379,961,258,412,211,122,238,408,489,
756,654,854,577,403,596,378,907,255,463,895,341,234,784,519,239,246,666,193,
867,049,039,545,771,817,929,953,182,678,351,551,358,969,908,125,581,552,051,
223,042,685,660,688,574,750,723,134,671,215,221,854,085,038,626,671,604,255,
443,042,628,364,975,376,086,964,318,025,927,921,686,031,218,225,251,809,441,
264,173,983,927,025,376,269,104,791,986,452,788,541,255,705,635,478,688,092,
856,978,545,623,145,838,219,405,859,933,647,829,396,304,366,622,579,880,822,
278,558,164,972,884,962,393,647,654,130,204,238,787,553,833,375,170,279,110,
958,995,234,305,528,588,361,318,797,230,181,482,257,612,572,061,610,902,604,
823,926,775,238,175,123,976,750,687,797,421,609,763,017,183,112,499,641,762,
016,767,413,147,394,187,169,789,126,510,263,227,968,777,013,331,073,903,133,
532,249,306,182,768,421,187,157,315,612,670,863,131,917,737,863,027,297,712,
907,108,896,613,474,868,799,550,012,699,899,885,766,166,251,010,196,388,206,
391,318,609,893,628,805,105,040,957,761,498,651,806,271,650,053,014,735,165,
407,649,464,181,601,470,318,170,037,033,065,524,016,078,419,126,856,088,433,
342,493,646,351,450,717,640,084,811,485,891,326,035,219,652,648,536,304,853,
923,541,605,323,079,104,548,953,133,953,303,380,566,234,970,646,740,607,234,
232,406,154,212,361,443,978,857,388,988,819,625,015,918,903,190,191,374,353,
888,622,189,717,336,337,704,607,879,960,105,596,800,478,126,401,083,440,955,
614,320,869,184,139,835,666,408,633,787,252,351,677,756,793,103,878,519,401,
139,346,150,816,283,301,378,757,334,409,778,164,986,339,111,327,836,761,457,
610,315,646,342,031,941,661,269,288,806,758,966,922,706,327,202,312,451,606,
625,782,371,627,944,422,513,312,832,486,617,678,162,890,618,136,814,533,916,
527,906,681,757,133,150,066,935,270,259,996,863,810,972,412,268,100,562,154,
927,785,367,540,555,061,643,186,210,176,537,296,461,107,886,449,378,639,083,
282,844,947,950,794,117,480,438,132,963,831,243,640,541,363,385,217,286,883,
941,267,433,433,457,966,474,126,378,140,021,665,365,037,687,575,656,808,544,
600,015,517,106,244,871,344,841,240,667,383,541,396,388,708,179,340,609,751,
355,483,490,346,344,116,365,264,403,284,528,801,547,881,775,894,719,568,158,
514,477,669,595,402,658,685,097,785,569,346,282,616,089,526,336,844,676,522,
483,608,760,162,146,781,464,900,094,123,626,854,988,781,355,089,000,608,179,
933,415,578,378,088,011,640,064,110,114,891,349,418,114,921,447,012,588,961,
068,630,658,357,752,874,477,365,102,994,083,752,704,990,276,817,087,961,533,
887,180,100,172,199,784,654,936,046,807,850,135,037,074,987,094,304,049,227,
762,776,349,344,289,326,873,282,691,827,707,562,861,028,765,263,678,237,041,
581,661,312,656,636,256,396,417,936,875,162,188,751,135,762,764,340,435,702,
349,446,264,286,769,402,995,598,997,569,652,622,216,229,877,325,520,388,409,
669,719,313,387,990,821,971,292,713,918,602,815,985,480,780,839,890,859,146,
724,246,402,476,089,821,323,119,273,169,351,137,033,251,011,229,462,330,505,
123,172,591,961,573,289,049,343,718,781,137,608,633,143,917,592,739,140,690,
418,534,474,223,943,062,412,666,863,034,236,302,334,002,287,091,800,149,873,
758,453,474,821,776,788,069,553,948,154,920,047,447,734,412,254,014,021,924,
404,607,246,991,815,994,424,679,296,420,585,500,837,951,583,871,982,759,604,
313,312,305,217,203,914,246,067,436,330,155,923,120,055,972,514,263,610,955,
930,505,972,123,516,764,135,727,604,964,806,314,847,112,930,982,150,383,673,
162,492,881,685,463,342,697,359,174,905,049,275,693,507,949,519,601,674,780,
394,684,873,838,891,889,211,228,600,040,580,251,121,619,959,251,570,232,922,
913,891,479,910,321,181,058,348,815,771,641,848,035,470,650,281,586,900,171,
809,485,356,577,343,864,269,901,854,618,129,253,814,609,002,177,674,224,877,
157,464,519,857,815,310,035,903,942,387,205,903,226,870,448,968,848,931,040,
688,370,317,258,474,712,185,113,739,115,487,965,262,651,789,685,534,554,762,
912,272,104,419,103,344,914,885,544,312,244,697,925,678,874,864,054,777,225,
593,365,415,890,489,468,326,491,291,765,726,886,502,378,971,365,165,124,761,
239,554,958,339,176,259,327,981,610,461,131,085,630,959,179,988,815,559,376,
269,239,257,993,056,537,618,806,073,080,640,982,759,475,019,759,649,167,662,
161,887,953,596,629,385,738,404,867,988,249,654,928,296,305,814,376,494,362,
177,908,944,389,717,840,614,844,258,786,984,363,694,699,039,300,829,607,068,
396,413,002,072,959,143,763,574,190,935,110,750,714,901,416,711,530,187,970,
702,530,681,435,571,723,789,617,786,707,383,667,075,685,242,324,042,452,887,
135,565,340,593,490,593,674,705,397,058,192,831,666,044,701,676,465,867,666,
980,461,763,398,645,775,319,221,895,966,498,936,646,353,260,664,490,082,973,
525,496,984,495,650,973,885,391,661,135,057,424,795,275,003,689,813,576,598,
614,895,672,836,517,548,305,863,694,874,329,174,594,835,011,390,697,097,671,
753,895,140,112,179,386,902,791,732,910,796,586,645,694,078,116,828,772,747,
762,488,617,885,685,438,632,207,690,493,472,787,667,584,341,262,832,245,981,
154,557,483,986,256,067,188,830,375,402,092,107,553,647,767,197,239,662,649,
858,116,587,193,790,570,253,883,101,777,934,910,314,456,389,951,935,031,111,
277,146,746,066,467,806,837,888,155,439,130,340,789,378,759,607,638,372,534,
778,405,632,470,396,006,333,769,847,207,298,484,736,325,029,377,235,441,252,
582,174,144,008,437,522,203,412,290,043,057,791,033,544,260,199,265,479,336,
440,397,970,392,031,230,868,544,978,767,275,190,230,972,775,169,892,175,412,
527,736,428,210,727,042,963,232,246,445,276,727,362,554,331,930,756,107,964,
271,551,666,086,352,145,422,761,038,354,030,150,613,926,097,812,647,345,241,
007,649,005,973,264,697,409,625,284,230,677,009,625,565,876,968,568,541,125,
717,645,772,747,302,554,124,389,904,869,465,060,543,200,735,256,681,169,419,
685,970,184,801,900,474,857,781,503,942,902,782,778,617,118,192,530,149,902,
092,371,060,024,630,048,089,889,177,682,244,101,073,926,679,220,013,292,999,
057,635,738,392,602,380,782,213,644,556,289,045,694,278,356,575,724,000,578,
992,191,942,043,308,284,861,689,876,349,687,759,215,720,730,115,458,129,588,
952,536,780,912,221,265,141,018,363,026,518,958,063,456,090,728,859,338,665,
742,437,772,836,233,295,599,791,420,766,480,177,579,946,064,155,281,059,475,
231,396,462,542,501,217,838,687,631,540,134,767,110,793,769,118,483,791,099,
581,477,893,180,911,327,477,906,496,489,099,952,922,830,279,513,742,940,898,
839,228,574,480,425,540,971,314,089,944,898,779,330,427,179,045,314,806,109,
116,925,939,704,869,422,240,970,685,739,681,884,538,437,802,025,785,922,467,
929,110,662,440,884,820,731,165,792,897,638,653,670,916,705,909,901,396,941,
996,084,684,004,228,816,995,387,646,418,761,348,454,006,006,053,644,981,793,
979,304,555,591,310,914,918,973,409,732,979,274,608,607,712,462,420,994,319,
554,128,868,729,503,664,376,629,568,747,529,895,685,961,550,180,361,416,085,
911,173,239,670,155,223,711,855,559,384,899,049,570,604,173,646,859,764,923,
706,707,727,554,686,593,629,514,986,788,372,488,709,993,631,985,054,268,518,
890,003,628,720,471,842,694,342,163,388,248,131,554,605,664,895,846,898,467,
733,933,250,931,111,933,584,303,265,354,668,822,617,542,948,006,556,774,427,
520,841,273,582,057,209,582,698,438,741,321,093,118,595,729,904,560,752,056,
456,322,291,615,670,825,862,086,738,545,192,076,326,718,209,655,327,924,072,
095,270,838,325,393,182,454,574,784,809,432,463,499,727,634,148,973,715,137,
997,346,436,088,620,908,978,985,863,367,171,318,771,716,495,155,547,595,498,
072,037,031,527,194,944,834,892,368,764,313,567,902,763,725,398,690,434,157,
310,111,762,298,003,077,313,271,648,795,866,443,089,419,903,564,504,150,298,
261,623,049,406,739,147,618,523,022,595,329,751,054,904,083,997,196,270,056,
046,474,892,751,381,649,974,494,728,120,698,049,997,048,483,091,451,896,393,
425,010,977,032,267,496,149,206,259,938,535,270,196,857,696,096,649,532,752,
754,218,756,740,073,970,603,771,659,931,698,018,980,758,518,829,465,005,108,
699,721,129,865,699,113,662,481,316,377,285,755,512,959,302,393,907,426,579,
776,594,810,362,358,121,921,687,935,642,613,998,275,545,598,567,555,502,335,
601,731,451,398,347,747,133,422,040,874,810,400,681,660,543,931,206,151,279,
390,493,470,100,167,103,550,444,652,187,049,589,190,568,048,326,481,023,707,
734,176,789,165,528,693,606,704,258,458,001,573,860,759,085,121,975,369,590,
831,047,259,406,474,219,982,899,488,912,395,637,304,723,635,699,544,481,429,
268,545,692,637,181,377,812,419,436,951,979,074,201,011,389,607,790,643,969,
575,329,536,802,341,720,137,748,274,370,006,594,960,280,342,502,786,203,070,
106,047,874,892,865,360,115,989,314,021,321,313,398,173,052,749,641,144,756,
762,517,998,396,145,490,987,543,488,636,464,896,333,724,375,045,477,055,925,
143,379,281,754,254,496,484,314,801,822,679,785,554,247,536,273,372,611,460,
566,466,022,082,350,216,012,743,003,243,849,385,360,298,010,302,722,595,372,
242,207,141,640,539,647,289,411,066,709,772,680,824,043,421,559,196,378,882,
995,860,223,855,746,015,755,566,266,067,844,620,379,377,391,357,134,973,793,
765,548,963,707,926,968,981,035,136,033,301,659,978,388,843,225,167,924,424,
195,245,240,059,748,507,541,969,237,538,175,642,103,564,005,549,208,566,582,
396,486,916,981,441,444,340,123,675,901,592,951,478,064,485,041,794,939,312,
835,796,343,180,707,331,093,762,522,382,389,652,403,627,086,627,797,628,186,
047,077,355,274,094,388,337,909,227,654,711,750,653,585,824,343,813,049,936,
990,478,280,159,706,830,789,077,750,605,987,263,882,861,483,700,427,770,687,
290,127,605,221,185,257,624,464,003,394,797,351,609,420,309,373,034,946,190,
001,330,060,291,706,989,582,990,233,782,989,672,132,717,655,901,242,185,015,
724,634,545,937,235,550,960,165,975,247,566,506,549,993,811,161,848,038,893,
780,336,813,462,073,002,674,917,066,481,991,978,137,275,941,756,549,629,537,
663,093,938,016,595,989,477,586,111,200,928,407,962,341,474,467,098,735,655,
211,472,758,175,680,236,784,988,327,175,455,956,228,212,540,944,227,011,878,
274,001,792,474,857,027,324,103,952,100,430,139,358,399,382,002,476,742,728,
106,678,748,610,429,830,677,748,928,713,482,872,788,512,653,855,883,818,651,
219,868,307,958,394,240,965,721,488,756,418,733,037,755,449,188,660,632,515,
861,122,475,386,353,446,564,350,634,456,342,579,874,334,838,684,017,648,864,
283,779,582,436,443,713,453,879,885,465,836,719,676,682,559,657,403,892,886,
257,440,965,356,704,701,229,289,997,135,137,386,725,575,659,071,953,941,074,
942,479,792,313,799,982,190,441,228,782,905,415,206,554,226,701,426,912,499,
057,519,807,498,522,472,078,266,037,198,651,826,422,347,284,195,690,047,050,
229,462,967,896,664,021,961,628,425,541,185,488,454,444,117,757,699,935,938,
716,885,599,480,751,547,645,752,495,017,069,117,588,311,861,026,420,323,588,
558,889,905,508,266,940,054,287,986,065,341,067,370,999,696,817,893,305,269,
994,580,468,397,362,847,998,801,344,060,415,217,181,468,186,046,847,453,466,
846,015,513,650,905,118,205,014,836,805,797,601,158,940,767,661,098,857,389,
074,189,454,226,199,620,088,471,461,260,662,399,070,716,717,361,089,431,042,
208,698,515,252,895,317,999,007,349,808,689,107,901,585,742,193,951,354,712,
772,350,005,942,619,200,669,265,313,239,862,545,724,248,435,328,933,423,064,
031,529,571,793,922,228,333,790,862,559,803,332,030,325,384,635,421,461,302,
193,083,029,325,247,994,285,313,840,960,065,253,078,684,583,462,404,135,770,
475,823,030,728,822,794,045,839,248,702,926,553,342,531,833,303,268,186,563,
443,849,808,486,457,456,009,674,065,382,307,803,616,311,634,718,781,177,872,
084,977,850,391,663,413,491,479,271,369,321,033,258,359,893,115,383,175,748,
042,454,965,960,830,580,894,617,852,012,694,166,567,002,186,673,187,318,320,
776,961,378,360,234,738,785,389,931,416,688,127,932,337,652,602,200,428,345,
013,743,237,969,891,472,405,279,346,200,257,494,568,531,831,181,336,574,610,
345,929,458,506,242,822,666,511,142,341,172,652,978,246,413,498,425,732,179,
723,496,871,784,293,556,688,231,593,648,604,551,916,404,579,096,458,955,485,
060,998,906,793,572,303,261,504,799,699,191,349,393,587,021,023,819,656,203,
756,986,247,491,880,138,822,070,486,486,354,500,730,141,018,892,584,413,798,
005,594,761,623,010,401,578,760,180,703,380,710,749,312,686,551,078,844,206,
421,529,012,187,264,830,097,741,938,857,865,383,788,379,915,978,828,667,451,
904,689,027,192,632,535,297,279,190,345,775,895,706,743,055,027,480,537,748,
948,349,469,710,974,074,177,775,436,971,709,536,440,298,523,784,972,786,254,
698,099,192,088,627,640,936,451,312,563,689,981,895,035,438,504,264,332,304,
760,124,179,663,087,908,387,872,272,619,638,161,697,428,623,189,974,969,830,
092,682,037,423,953,524,188,498,822,504,866,497,601,615,288,248,616,210,516,
584,444,072,177,773,765,935,630,811,275,038,839,285,866,024,854,794,030,713,
119,281,119,722,099,372,294,372,656,732,794,234,941,717,112,479,865,432,707,
772,794,287,861,701,193,937,247,705,028,733,982,401,449,294,872,617,048,811,
119,624,794,974,197,489,867,907,492,214,158,058,392,351,503,440,668,988,909,
274,804,610,963,389,725,367,713,234,316,363,607,495,308,379,571,148,473,926,
645,432,794,964,410,244,213,803,449,578,979,489,692,874,481,781,511,076,185,
107,978,671,710,254,603,657,057,458,223,065,401,212,442,846,909,865,040,753,
658,072,309,506,465,629,164,015,202,130,159,838,750,218,619,921,101,170,117,
221,373,804,235,674,376,903,755,124,246,814,439,727,347,705,592,369,540,120,
830,342,780,905,073,834,980,291,137,169,440,436,450,987,816,373,122,253,203,
723,235,584,480,874,200,545,575,705,994,704,768,203,995,836,842,285,228,187,
604,123,723,543,471,564,442,923,871,355,942,530,729,297,823,609,040,768,511,
146,218,496,067,342,722,601,159,032,378,621,585,161,416,257,394,159,114,772,
717,243,627,337,479,155,012,431,856,012,172,720,228,925,494,318,960,514,142,
586,040,825,680,846,137,986,511,677,652,453,915,715,105,280,542,268,980,599,
938,578,004,929,283,730,637,011,071,552,089,215,799,392,837,804,457,874,249,
183,981,219,353,540,937,807,052,713,981,243,386,343,656,650,901,780,128,677,
647,233,092,153,323,105,730,394,240,286,875,099,834,716,213,021,184,529,587,
210,806,596,250,794,885,459,389,994,085,366,547,296,565,501,780,710,682,625,
413,140,989,015,262,288,171,240,148,815,879,360,514,231,750,752,117,647,661,
946,100,080,082,983,417,054,032,965,286,732,260,154,664,086,388,044,309,683,
655,536,280,084,810,148,879,411,223,814,874,136,986,147,423,151,679,055,249,
215,341,701,899,602,888,840,732,345,909,479,759,993,921,211,605,595,541,433,
359,672,952,109,718,452,816,738,347,818,678,332,862,338,833,666,286,953,408,
667,055,974,010,923,013,803,688,583,223,680,235,058,185,096,735,850,747,243,
526,199,941,676,863,884,487,314,682,889,472,644,268,515,884,002,832,077,104,
705,929,302,082,676,883,869,881,258,169,786,588,564,878,091,009,435,245,827,
355,795,002,748,746,963,403,093,441,292,820,944,517,520,359,284,534,328,040,
618,047,632,128,058,281,249,577,463,454,195,515,388,281,523,012,822,896,434,
871,668,979,828,313,347,943,149,485,417,339,179,137,331,345,373,157,031,056,
612,425,219,628,542,611,945,171,211,415,958,628,858,714,535,612,536,833,264,
115,257,727,743,777,481,408,362,004,490,226,970,840,176,999,367,770,704,331,
153,884,206,384,577,411,375,917,511,366,130,724,922,327,677,278,994,362,235,
875,478,708,304,163,150,408,252,420,164,864,667,469,645,118,171,517,126,808,
680,006,372,927,549,201,143,610,451,225,825,895,503,146,237,565,105,555,700,
521,336,312,617,826,267,966,223,016,655,217,821,089,964,332,007,829,672,918,
808,296,194,606,639,601,110,492,642,660,740,159,657,419,879,702,197,316,235,
661,671,938,525,340,282,069,752,385,021,552,057,316,249,215,832,496,443,077,
144,642,365,345,426,222,834,087,219,302,471,965,688,020,464,970,687,226,099,
404,120,306,751,162,330,414,571,311,407,514,543,706,268,597,349,674,924,926,
210,334,332,645,998,739,339,347,745,814,975,948,012,932,374,123,285,482,629,
016,055,556,803,872,841,162,282,380,657,042,568,546,679,131,621,144,988,335,
501,735,179,311,761,408,804,396,784,179,132,256,090,848,465,394,981,092,729,
372,350,839,879,710,812,584,232,101,652,453,704,454,176,159,336,491,347,211,
001,666,912,576,233,002,685,998,673,825,355,048,872,220,681,934,487,722,237,
676,212,620,549,936,125,105,802,348,236,385,585,084,955,689,058,787,992,719,
871,122,131,899,567,872,321,477,838,343,966,556,342,051,572,110,930,439,273,
562,168,119,735,769,706,810,937,419,387,251,077,124,356,572,461,399,595,505,
219,489,023,692,774,334,318,694,659,767,594,296,343,759,319,615,070,350,973,
440,740,132,686,173,407,008,752,114,758,883,150,308,755,587,284,324,201,769,
295,173,424,074,708,533,886,805,466,620,303,034,836,668,973,520,027,094,075,
464,096,757,568,125,989,358,190,001,060,132,236,160,989,193,786,556,868,019,
268,028,862,122,411,496,029,959,187,659,353,166,767,470,067,662,867,540,760,
772,072,366,319,039,898,160,973,768,546,319,525,556,918,207,522,384,250,350,
937,857,420,937,768,098,641,524,247,499,753,305,755,699,877,686,009,653,570,
936,790,495,859,977,092,114,829,452,680,358,215,350,221,987,043,781,900,269,
899,995,519,863,835,005,983,936,972,796,525,011,829,672,048,143,039,860,369,
853,127,099,989,965,340,262,490,650,916,714,611,235,917,445,378,477,461,278,
717,794,534,029,470,106,087,313,397,597,930,554,448,592,291,607,500,942,601,
614,807,033,163,864,546,516,434,435,727,384,581,176,122,843,838,195,469,874,
814,923,759,648,827,705,739,615,667,453,974,519,534,051,046,429,301,396,421,
845,540,077,274,807,366,657,693,265,029,012,864,421,000,579,733,610,169,133,
028,621,817,155,509,618,659,667,088,309,734,582,828,012,352,188,046,495,175,
229,248,224,097,713,037,003,515,526,031,466,727,509,330,486,413,388,850,257,
752,763,588,566,449,236,119,019,552,251,797,378,376,659,050,887,739,108,251,
595,041,375,982,705,821,319,466,923,033,174,818,346,520,111,985,862,294,599,
462,222,937,371,306,501,403,710,998,068,363,099,840,765,110,575,035,577,474,
770,876,121,042,955,944,540,848,548,530,017,900,465,491,422,462,374,220,473,
497,040,145,539,260,953,843,186,678,556,324,105,074,585,865,116,234,302,127,
732,472,630,126,334,884,850,136,960,088,357,221,215,191,866,446,931,606,926,
399,933,306,137,357,945,777,172,201,625,145,515,006,073,954,256,732,008,124,
575,292,203,779,068,749,902,029,619,747,044,159,358,253,426,846,290,985,023,
339,919,557,933,610,875,228,985,443,739,805,452,279,787,952,879,330,089,960,
519,487,181,923,225,766,113,018,869,455,414,559,222,816,240,872,421,039,475,
828,513,374,467,033,466,219,021,995,418,114,725,080,409,351,637,382,930,489,
922,930,782,076,803,133,616,225,075,552,972,944,725,184,929,009,879,245,130,
847,524,748,820,087,796,992,882,387,665,823,373,711,155,805,844,707,938,010,
608,490,847,274,588,710,539,645,103,563,587,284,877,602,230,093,488,047,761,
164,252,699,005,613,585,909,810,030,355,476,040,744,817,220,940,292,546,547,
013,074,672,900,333,229,358,104,007,150,464,937,582,425,425,963,795,322,221,
097,487,531,581,539,466,483,042,133,684,172,069,042,704,002,470,067,245,451,
356,322,582,036,941,041,694,106,371,721,990,664,588,989,974,050,586,394,755,
204,997,074,133,685,963,751,868,477,689,834,846,853,605,088,209,371,738,656,
544,491,648,102,287,093,876,557,065,468,878,838,387,260,276,563,566,758,862,
453,292,286,318,783,690,040,732,176,489,687,461,675,597,469,204,953,322,947,
394,899,060,626,842,964,983,645,011,421,944,851,947,660,007,067,705,587,300,
700,862,102,566,243,601,508,165,898,331,727,919,314,617,049,007,316,418,672,
636,322,105,472,273,650,052,796,713,790,149,854,008,511,302,298,864,695,814,
008,505,639,866,309,086,592,402,630,547,752,503,242,272,845,028,616,063,807,
718,669,176,090,397,035,580,992,326,421,470,401,456,921,468,085,991,112,352,
129,764,598,865,021,379,886,201,668,883,150,346,878,430,013,456,946,008,338,
142,466,984,471,772,352,548,113,264,338,530,515,961,418,258,409,270,461,197,
771,170,201,661,745,562,181,103,798,226,114,222,399,414,234,253,009,346,410,
292,452,430,832,312,651,533,391,768,755,284,762,076,609,210,783,316,938,400,
395,701,628,918,125,523,443,847,723,788,651,830,770,276,223,075,560,888,644,
240,468,928,427,894,378,252,679,053,920,801,509,170,198,669,501,349,176,968,
912,793,018,798,428,291,841,396,741,655,082,677,366,963,560,313,224,585,697,
899,844,459,251,412,739,130,279,652,876,821,610,464,018,594,420,859,136,280,
239,515,883,131,403,625,370,104,205,817,362,101,022,226,219,838,076,115,024,
185,422,584,305,403,862,283,812,587,113,160,090,818,944,526,314,514,794,577,
426,611,729,616,263,387,706,669,498,981,882,166,961,142,913,930,162,690,988,
398,697,362,979,949,406,867,390,237,630,583,142,745,048,798,926,749,785,297,
859,364,482,745,441,141,958,326,758,507,838,049,423,549,546,270,766,967,074,
608,584,223,334,555,232,696,806,270,814,420,100,347,555,092,690,768,456,261,
207,673,071,776,571,669,188,442,543,832,764,830,569,474,614,002,000,787,558,
246,889,369,956,790,970,055,122,531,717,123,878,895,738,498,945,286,627,693,
518,283,452,757,870,399,850,799,354,207,803,963,590,807,858,890,343,203,648,
353,890,091,048,223,999,007,190,995,318,886,971,793,327,353,969,653,151,899,
780,489,620,049,352,422,816,013,810,314,031,219,993,703,502,074,472,496,347,
900,940,968,135,820,251,244,879,427,413,151,393,233,911,478,811,061,677,116,
505,330,385,607,977,156,331,575,907,382,350,254,444,634,513,551,404,797,564,
611,473,635,544,069,304,864,543,370,652,539,111,213,856,990,973,396,638,137,
561,579,058,527,527,797,576,949,637,458,775,709,392,299,573,794,271,836,775,
463,994,825,910,374,690,796,768,953,337,914,142,379,991,580,501,520,410,207,
710,103,496,971,748,462,160,474,869,160,468,873,281,583,346,446,428,307,235,
477,210,150,534,552,095,877,891,842,050,523,671,497,440,252,736,393,271,147,
008,681,961,630,728,932,104,064,105,986,105,990,835,337,924,771,913,364,197,
926,964,571,259,931,599,307,736,129,655,546,089,887,527,195,150,884,130,515,
269,372,264,880,382,189,969,895,804,221,687,015,969,315,419,269,841,033,338,
253,260,229,768,226,830,594,805,222,956,703,761,821,350,047,506,475,850,792,
964,630,858,613,277,018,912,048,109,728,760,347,130,893,766,387,896,005,118,
437,752,405,209,012,290,489,411,887,480,802,331,093,825,361,192,697,282,058,
744,832,018,335,076,952,847,637,270,580,410,368,838,070,068,429,835,417,649,
836,088,484,452,654,989,573,086,410,206,814,860,552,884,999,097,986,319,941,
224,777,323,590,616,178,702,991,603,639,370,428,640,981,342,911,989,559,432,
291,351,427,591,094,190,725,386,442,436,772,344,435,036,612,219,173,881,977,
008,417,878,238,102,616,527,052,026,555,184,383,771,078,473,571,752,858,195,
112,120,713,218,196,496,118,640,527,173,138,299,800,476,344,296,433,772,852,
560,723,994,487,595,374,384,137,005,320,900,762,941,899,621,144,916,887,657,
063,232,305,547,237,237,586,437,362,974,360,749,589,641,780,305,247,358,379,
706,189,856,446,427,725,554,765,710,021,790,754,412,756,926,845,943,895,671,
511,597,663,264,068,763,459,981,119,740,535,858,237,007,968,116,736,709,697,
735,612,500,473,539,242,304,246,312,326,080,377,736,164,857,007,322,325,029,
154,051,060,353,036,641,756,947,553,092,748,428,880,612,386,365,621,845,984,
244,240,090,864,217,188,312,657,311,908,404,087,204,627,469,822,446,567,785,
369,904,122,223,795,572,950,402,387,723,646,832,627,005,659,514,023,721,995,
931,325,621,432,299,698,616,231,754,052,908,459,336,081,177,804,118,377,145,
606,107,487,605,207,419,564,218,322,962,636,152,507,311,485,413,785,079,020,
031,053,905,289,233,862,640,572,735,572,056,686,320,667,513,980,522,795,382,
182,159,679,174,179,068,389,354,437,751,145,815,903,157,557,529,379,836,220,
644,645,992,628,009,935,185,123,611,605,164,812,115,445,821,874,483,644,397,
854,581,803,534,434,661,552,612,917,507,544,528,603,165,838,801,117,415,094,
545,768,527,433,896,571,702,007,331,075,612,310,242,594,212,760,948,546,113,
872,652,088,823,883,226,961,465,442,673,994,260,939,798,429,798,168,941,259,
181,284,005,674,087,595,440,035,858,671,377,807,947,806,556,555,630,773,780,
757,874,260,525,259,809,395,582,434,017,165,043,045,552,324,233,777,007,404,
172,811,389,380,636,827,265,285,144,709,881,161,079,657,694,964,413,598,051,
584,662,658,241,324,463,211,145,710,520,124,858,693,866,526,140,354,089,417,
378,308,412,270,022,635,087,552,149,468,564,896,726,766,617,808,928,086,717,
654,401,034,089,123,914,993,381,879,363,234,438,430,276,516,728,776,058,289,
839,053,352,718,957,140,887,249,682,891,652,942,304,430,923,676,978,830,298,
237,241,046,498,514,599,364,805,643,271,331,728,817,967,918,415,304,588,140,
481,292,443,903,828,419,745,909,716,207,056,656,989,393,942,830,567,067,491,
785,804,084,594,709,989,462,462,852,602,236,615,024,642,350,214,540,347,411,
135,323,545,080,790,775,622,208,753,292,576,600,553,924,561,880,487,183,207,
102,090,168,363,928,772,008,566,857,992,466,843,164,479,008,294,445,755,148,
640,723,474,906,590,184,229,992,183,147,920,826,973,489,555,304,675,595,844,
116,518,042,928,610,819,170,506,235,022,734,259,269,560,191,860,279,963,469,
669,600,016,887,489,893,789,119,194,949,835,442,932,554,478,471,705,888,741,
336,871,676,734,159,912,675,077,731,311,646,601,651,396,480,437,507,990,293,
889,836,560,594,312,630,687,666,444,457,786,810,674,658,149,091,664,932,241,
113,880,537,478,625,017,926,052,443,771,707,130,095,799,773,332,624,101,622,
829,816,836,540,872,409,471,461,096,468,065,666,364,200,001,025,248,557,705,
054,248,795,994,287,820,794,434,789,395,779,953,618,007,729,648,279,222,601,
278,854,300,723,600,097,194,525,052,749,846,343,332,302,458,024,604,918,783,
622,686,496,218,609,514,761,442,714,181,447,212,156,792,526,925,369,203,132,
946,668,357,852,717,460,596,653,945,729,757,961,477,262,156,776,334,069,757,
143,539,058,251,198,692,421,093,679,385,233,334,197,218,500,178,499,933,945,
274,401,932,152,087,628,388,245,833,914,875,019,054,049,996,254,918,811,197,
860,352,310,630,594,888,788,994,936,695,072,032,423,167,965,369,011,844,419,
935,531,646,546,431,223,308,915,663,296,660,273,943,280,522,044,760,503,505,
190,115,447,165,969,660,249,851,183,051,318,367,252,926,445,197,474,405,451,
737,312,388,333,016,036,080,028,205,272,135,415,595,988,265,215,297,706,412,
074,772,042,610,762,155,781,356,257,532,437,673,758,126,493,956,145,669,901,
400,082,089,118,241,049,009,702,702,509,883,302,717,631,492,124,651,797,940,
273,470,951,785,054,018,793,767,148,016,145,129,971,758,419,584,223,258,503,
778,134,071,264,129,072,385,402,449,569,683,482,365,657,548,520,979,856,175,
044,509,746,099,171,293,765,158,048,028,238,982,045,117,372,317,285,023,090,
233,647,139,547,063,297,321,292,489,639,474,459,466,892,746,975,600,173,430,
483,779,862,693,643,696,511,106,429,370,696,414,183,333,139,793,619,152,066,
131,153,883,659,991,221,606,137,694,048,112,174,330,168,421,794,232,327,618,
977,956,266,265,886,060,987,635,791,551,778,705,644,046,453,522,334,461,313,
447,898,711,223,411,641,810,553,484,459,635,129,765,576,482,547,932,479,327,
118,416,558,968,083,828,678,294,020,772,406,266,810,817,473,580,991,034,401,
898,832,001,180,665,811,389,277,392,602,371,654,729,060,144,579,384,653,085,
619,594,997,373,845,863,901,090,623,465,413,496,752,108,779,249,967,544,194,
605,175,670,928,287,854,239,108,221,376,571,318,454,434,564,398,804,303,289,
040,829,093,714,848,896,472,160,551,703,114,339,231,952,190,190,508,979,862,
479,449,332,837,965,732,252,751,856,936,844,796,169,231,038,403,765,400,161,
345,198,324,601,124,757,331,127,015,826,261,236,348,714,640,766,039,082,404,
730,414,509,794,466,014,247,090,471,292,675,832,886,968,614,521,322,185,776,
475,722,972,859,670,952,158,573,579,944,489,030,212,295,155,280,177,779,802,
908,714,517,683,119,962,761,730,808,063,477,516,331,149,156,100,550,885,032,
837,178,626,589,293,911,038,828,032,516,272,279,173,305,245,759,254,292,750,
296,044,563,309,207,834,587,921,256,615,324,485,902,157,849,304,225,935,654,
459,426,590,131,215,661,565,381,549,768,370,118,193,298,612,707,804,124,187,
361,040,430,013,326,722,878,133,317,835,087,945,107,825,257,575,542,461,372,
545,698,210,704,148,767,839,053,158,339,159,079,957,425,090,714,476,015,868,
111,073,762,345,292,340,718,483,132,217,216,135,536,198,106,132,799,239,242,
989,104,126,330,556,536,449,912,424,031,868,952,246,548,950,985,243,553,057,
355,600,542,472,637,796,580,238,999,663,333,595,405,166,135,609,744,751,648,
842,403,087,530,086,576,528,263,641,692,092,125,439,593,662,808,897,468,021,
233,726,258,936,924,785,062,963,645,656,693,131,777,003,685,340,244,126,098,
701,032,895,940,911,297,147,425,866,520,346,266,514,370,343,085,619,495,964,
838,428,821,300,839,283,617,647,996,015,877,640,416,803,701,243,655,589,397,
662,094,590,358,665,848,835,544,223,713,202,741,263,949,940,761,493,104,628,
450,740,556,978,181,907,295,166,683,428,323,952,535,575,555,831,515,866,004,
675,944,677,973,667,556,790,415,870,166,636,458,940,481,870,519,602,277,835,
121,030,472,121,292,031,824,162,791,798,886,603,286,271,555,031,393,421,727,
342,049,195,319,799,591,816,721,283,072,281,579,157,671,515,303,522,744,657,
278,179,485,869,460,120,937,105,981,397,386,682,371,689,531,577,174,417,535,
569,493,141,245,555,291,559,842,851,646,901,111,207,204,845,968,009,004,668,
751,660,952,437,077,588,101,753,536,432,362,981,959,913,496,555,463,384,796,
503,813,985,431,500,345,498,440,908,223,962,813,450,189,713,455,196,863,297,
315,513,942,614,547,636,187,074,594,045,100,457,774,418,310,473,816,085,427,
552,885,540,767,868,195,356,665,221,850,967,170,652,437,990,256,783,555,275,
186,383,198,679,525,003,334,489,087,096,122,872,758,335,348,633,264,067,530,
262,041,749,266,946,944,918,836,011,000,432,356,282,946,724,207,863,764,777,
039,306,190,020,596,257,939,256,712,387,895,278,121,360,892,144,076,873,984,
729,757,748,286,032,843,508,070,856,504,853,789,788,087,465,592,171,483,271,
062,178,719,685,192,713,093,706,069,558,248,065,621,132,625,408,576,279,372,
462,670,265,816,268,907,424,975,899,427,177,191,546,016,521,646,819,819,924,
333,809,350,851,561,204,146,473,497,185,721,962,539,397,810,216,353,536,337,
892,327,919,631,427,738,773,165,857,455,158,676,340,041,495,588,399,334,591,
216,461,677,880,652,732,652,771,450,405,022,081,161,511,568,132,250,947,751,
174,952,447,956,533,324,883,687,794,672,022,954,597,376,279,001,161,740,393,
410,225,199,989,144,216,076,398,054,192,287,109,196,119,026,834,809,439,913,
931,025,351,190,546,571,100,694,142,065,952,175,258,481,681,493,212,310,540,
477,070,135,015,464,625,511,623,341,460,712,977,692,539,224,719,965,965,106,
816,652,430,092,391,858,070,103,420,792,598,903,158,306,249,981,221,314,077,
145,160,388,348,898,695,662,649,269,746,518,859,327,453,914,851,841,141,958,
152,382,359,638,293,802,106,180,226,306,291,264,241,730,363,471,554,510,221,
005,835,829,881,921,575,312,897,905,697,447,180,262,865,930,586,042,786,839,
779,009,080,530,481,911,570,191,252,929,266,576,320,673,452,533,631,159,720,
179,572,546,238,041,451,890,212,553,522,391,872,368,378,298,390,421,415,392,
523,834,470,591,431,623,896,932,222,961,790,203,669,990,401,875,341,948,570,
927,140,215,491,833,241,915,956,144,011,734,152,380,974,622,924,308,598,454,
142,069,034,446,412,665,230,369,821,643,478,726,193,457,853,298,637,601,723,
179,202,760,667,334,131,477,052,795,572,375,174,986,616,230,706,691,265,965,
516,561,399,260,524,804,181,462,522,672,372,310,170,640,101,910,657,546,780,
502,999,582,725,293,668,048,751,775,095,392,877,456,285,649,412,440,341,862,
351,529,011,385,445,041,111,527,196,972,570,615,702,785,327,375,911,435,361,
912,856,781,964,267,019,368,326,083,254,738,587,205,305,023,685,065,126,161,
862,684,555,239,523,142,694,227,638,159,732,690,635,268,804,222,246,089,349,
115,135,098,856,935,748,985,833,164,713,214,792,586,189,851,151,841,975,508,
515,101,109,877,770,975,181,408,612,099,924,913,942,934,914,892,450,375,269,
665,955,596,749,639,854,279,930,639,397,884,687,982,320,230,805,591,070,880,
033,775,055,756,694,224,252,366,127,349,812,489,899,316,564,152,463,764,575,
421,402,765,691,776,232,385,216,757,484,616,362,410,869,077,690,198,126,443,
965,288,135,192,896,526,177,666,667,967,853,706,246,098,162,976,639,403,840,
018,061,384,602,729,288,214,753,347,034,269,982,428,882,033,706,548,199,136,
812,114,152,198,495,230,639,611,293,173,860,144,764,732,462,087,916,712,578,
430,561,193,046,726,136,436,942,618,650,381,763,006,510,245,915,678,293,556,
710,922,662,560,457,538,872,796,846,438,323,863,531,434,705,007,870,946,417,
375,107,701,191,387,874,642,450,973,534,211,376,932,266,030,649,266,445,902,
025,460,978,318,089,010,373,788,516,311,962,856,148,521,117,204,279,487,181,
657,134,506,496,194,524,724,496,349,749,259,455,012,016,443,371,848,720,625,
501,177,696,876,286,513,449,828,048,249,198,144,525,528,921,953,055,068,963,
705,312,146,406,559,196,033,520,637,590,448,605,576,861,471,641,339,073,028,
762,233,686,228,088,903,012,676,588,711,142,181,003,173,338,953,013,814,262,
862,718,158,203,067,537,118,449,658,356,705,349,036,954,473,574,903,781,906,
724,071,913,284,149,815,743,612,146,352,547,243,023,588,745,475,880,744,734,
151,323,566,937,669,855,501,216,372,390,771,096,426,470,146,758,323,322,461,
062,016,648,341,649,843,518,123,555,612,499,479,415,319,689,335,058,595,938,
630,442,524,427,352,788,052,786,233,521,184,165,144,942,994,416,025,302,775,
042,480,960,531,801,062,853,938,773,855,205,607,934,843,799,578,067,449,987,
663,451,478,641,146,387,592,230,431,463,653,473,359,875,850,378,818,878,785,
538,204,796,414,338,206,625,098,283,207,173,411,676,949,390,555,584,672,557,
214,957,738,136,727,410,840,080,707,681,912,775,408,875,466,398,419,167,433,
836,785,855,741,829,364,784,396,140,967,959,233,500,965,062,554,242,944,394,
928,719,994,682,252,942,986,289,637,216,220,679,610,633,878,109,949,538,769,
349,585,273,527,708,766,561,128,389,144,545,473,453,556,271,499,643,268,073,
146,553,257,297,048,118,796,618,488,927,157,476,140,585,789,721,839,338,786,
920,115,572,155,752,623,170,767,837,630,599,263,136,583,542,946,738,695,386,
167,989,776,864,374,526,612,556,061,035,847,206,567,630,615,031,613,083,950,
101,668,353,102,680,460,512,746,937,014,145,006,890,926,967,514,835,066,449,
679,536,443,961,410,373,048,672,818,764,074,936,749,914,341,701,313,940,369,
240,846,559,670,181,931,771,901,023,695,616,233,251,806,072,008,721,084,646,
071,063,383,382,669,908,322,445,148,576,790,957,122,371,308,478,393,518,714,
136,734,112,886,581,946,329,695,512,859,840,781,964,942,028,893,029,356,366,
771,202,706,576,115,847,258,735,428,152,061,079,268,295,137,641,911,575,968,
079,421,560,092,055,400,542,599,243,917,626,150,258,148,655,942,953,820,215,
570,052,121,791,235,784,018,363,491,725,688,009,545,572,920,719,518,203,644,
708,950,193,305,911,170,118,294,797,666,615,012,319,176,963,888,457,225,894,
084,873,160,659,624,269,835,977,339,259,878,622,928,410,471,600,848,145,235,
828,836,787,150,799,349,909,621,302,528,372,849,541,941,782,882,377,383,859,
501,243,756,588,363,737,754,741,328,961,156,594,949,055,686,636,981,116,091,
110,960,192,764,141,785,789,577,055,493,497,647,708,034,031,251,722,578,987,
479,546,858,926,633,472,915,283,225,078,278,786,134,658,346,553,419,660,012,
932,305,852,857,396,978,338,646,181,844,085,882,812,125,018,177,442,966,145,
251,725,425,716,386,968,564,104,365,865,132,248,398,676,919,223,681,637,349,
777,388,484,464,703,197,097,508,908,708,179,806,399,880,291,009,879,111,380,
751,822,946,723,460,630,326,886,444,396,950,765,270,951,216,661,468,304,461,
043,029,342,333,528,521,323,472,859,804,815,154,648,795,199,453,718,357,140,
511,401,330,390,930,701,507,902,375,376,715,562,954,087,159,973,254,973,590,
976,393,001,544,254,868,746,057,283,392,095,704,504,817,215,000,195,248,806,
224,949,543,764,024,740,406,794,990,534,771,224,535,578,484,439,074,484,356,
671,968,078,132,425,651,735,689,077,339,180,365,887,892,300,193,058,969,104,
520,956,240,669,788,739,158,918,122,853,299,277,733,887,486,597,676,095,578,
490,030,599,912,674,466,420,725,167,456,344,491,004,408,540,602,923,538,315,
964,372,871,051,713,165,582,644,167,374,051,153,206,218,733,885,083,764,553,
877,415,414,078,500,996,775,808,131,995,821,526,851,839,417,710,866,363,395,
002,828,536,206,183,580,951,386,662,571,714,937,517,259,601,485,039,458,996,
916,547,158,896,574,881,660,905,814,679,347,076,887,704,553,759,283,522,218,
440,674,258,554,361,482,155,422,638,315,601,207,829,439,557,998,817,453,465,
329,191,411,755,509,818,157,442,843,132,871,895,805,383,074,408,774,796,526,
222,643,412,272,333,183,160,147,252,572,355,347,138,998,299,184,437,184,205,
194,953,809,854,091,244,170,440,299,050,774,490,353,003,331,350,315,936,909,
040,412,992,812,498,851,644,671,900,090,256,689,794,621,114,040,020,406,056,
655,735,335,389,380,329,990,825,310,198,726,884,473,176,845,028,937,471,584,
684,671,092,901,649,667,094,582,415,860,018,473,400,354,515,124,542,854,359,
777,741,799,351,408,034,399,476,377,060,164,456,901,847,682,863,284,856,883,
629,188,738,401,245,173,866,457,110,934,395,985,898,344,847,006,866,382,909,
616,045,516,363,438,664,775,905,488,024,084,390,808,466,570,006,135,500,157,
911,048,931,312,232,521,445,065,065,805,955,644,071,535,186,004,305,388,277,
766,093,388,282,235,487,722,670,552,503,861,213,912,638,885,540,511,323,565,
621,799,411,473,506,304,726,320,027,039,983,357,768,961,084,624,256,094,927,
914,563,660,394,291,721,601,251,225,693,980,673,031,059,322,472,830,113,915,
356,611,711,670,842,891,265,777,315,169,188,685,054,493,366,131,218,476,344,
008,622,868,001,955,690,840,780,837,637,456,857,304,132,962,764,914,842,812,
066,401,029,022,209,281,469,647,565,186,100,100,609,172,054,403,378,001,257,
762,571,187,282,787,811,949,443,373,837,687,764,255,994,727,916,803,474,080,
436,782,029,769,446,051,152,830,316,428,326,756,403,754,619,240,220,706,153,
205,453,349,066,363,100,482,606,017,697,285,874,657,267,141,770,151,982,813,
751,030,863,065,991,117,244,986,526,782,235,468,395,485,050,776,374,282,131,
231,583,104,064,802,566,624,895,271,621,640,731,563,133,306,101,996,430,264,
865,902,810,582,400,473,258,845,534,810,866,076,952,279,898,688,899,412,883,
978,183,059,883,845,389,090,199,805,044,067,832,977,197,771,341,803,481,422,
960,919,123,099,459,263,150,446,158,007,619,208,837,770,640,682,732,103,078,
031,601,915,424,100,000,178,952,910,744,828,582,054,336,990,679,395,512,022,
814,243,376,423,336,053,969,913,120,035,270,761,142,858,596,963,887,544,300,
444,934,539,777,115,946,306,148,001,879,307,965,114,637,333,262,404,062,812,
820,705,830,660,453,252,641,767,995,473,531,392,445,470,246,475,501,815,313,
264,702,480,467,130,829,005,218,783,928,778,616,432,944,956,980,097,373,748,
624,751,465,411,825,707,711,123,705,419,345,282,858,604,571,788,950,668,122,
962,029,769,943,253,146,440,948,956,025,463,737,011,154,748,595,023,617,609,
655,926,102,786,887,067,531,499,844,813,199,820,106,695,592,469,735,679,882,
544,528,404,801,972,964,526,183,372,409,439,072,256,814,314,149,403,277,943,
351,378,095,391,537,845,521,869,434,198,236,389,241,681,722,871,404,872,271,
791,728,764,494,745,593,725,906,752,642,084,299,040,959,655,539,561,057,369,
804,597,680,376,875,019,715,987,594,021,511,675,985,608,230,232,200,261,737,
096,176,149,176,162,890,534,922,096,047,317,299,912,239,648,335,906,589,827,
360,410,843,662,510,393,578,148,174,061,828,326,192,207,234,810,057,810,564,
844,529,449,020,250,837,134,822,205,661,285,761,135,796,532,949,116,869,235,
261,123,998,962,018,722,717,340,913,361,113,443,492,769,017,910,875,440,757,
816,314,277,276,216,553,993,773,007,715,093,395,056,081,021,023,923,904,295,
616,310,734,428,935,739,532,913,783,855,876,048,650,530,984,717,041,260,182,
161,345,802,067,568,717,370,553,485,992,037,767,143,010,480,468,210,399,269,
577,721,374,059,664,679,479,736,715,727,309,707,599,016,486,267,347,464,578,
061,047,741,785,617,718,906,889,131,237,109,449,955,570,237,105,418,243,411,
250,547,648,402,042,460,821,001,335,458,661,364,863,781,287,477,321,014,136,
754,750,100,368,723,376,329,075,247,365,081,278,840,116,934,255,604,361,957,
617,992,754,857,446,513,630,871,799,489,171,652,598,580,916,747,662,093,867,
088,645,428,447,497,443,613,156,897,636,589,029,396,071,311,991,400,622,100,
869,636,453,631,058,509,198,157,908,566,151,669,355,362,182,585,719,567,448,
715,247,859,518,658,044,890,018,126,337,137,590,421,745,491,748,658,290,699,
736,624,989,796,945,568,581,249,849,262,966,532,632,433,273,015,664,673,098,
070,784,604,056,937,170,981,852,147,041,627,542,236,686,401,769,999,540,939,
238,558,352,310,830,318,567,488,498,424,798,500,730,590,041,720,308,323,984,
684,380,804,405,452,196,773,038,533,038,916,764,379,894,232,314,872,644,539,
874,075,339,644,800,073,526,672,707,853,074,594,977,581,769,733,241,215,838,
165,922,020,075,904,749,503,468,117,732,211,367,218,238,043,464,212,931,256,
323,867,636,309,753,922,181,183,580,017,711,290,962,347,704,094,878,060,500,
472,580,080,344,938,736,939,661,078,034,210,333,664,105,616,174,322,089,063,
816,825,996,812,897,778,250,385,315,696,357,020,052,622,624,118,928,429,129,
921,441,478,053,274,172,514,830,355,059,440,928,273,297,880,850,525,587,590,
167,212,813,459,393,834,189,263,864,630,354,643,754,027,802,349,247,367,708,
357,043,602,621,189,528,098,296,393,449,698,450,398,378,297,884,989,234,738,
446,910,592,064,696,756,761,842,361,135,901,004,521,089,807,943,826,130,140,
806,581,289,345,489,995,342,869,854,661,944,024,558,332,342,525,532,266,637,
926,357,870,370,974,836,513,465,482,338,685,952,690,207,986,512,421,695,187,
397,354,171,443,137,053,793,732,079,271,718,307,350,821,351,277,956,949,051,
970,576,611,715,930,836,297,777,338,918,262,768,277,413,150,032,175,607,735,
039,220,840,456,538,236,846,864,015,322,646,535,051,861,911,997,856,543,177,
046,342,021,710,024,567,471,322,377,879,531,400,203,864,346,495,081,504,337,
018,002,225,068,286,125,636,799,209,652,031,206,060,512,079,612,357,442,077,
369,030,503,946,408,764,043,768,193,936,887,481,474,337,368,424,257,994,139,
016,059,374,149,761,282,904,171,120,098,411,293,775,268,805,624,993,916,116,
515,306,051,749,479,182,714,355,547,745,765,894,191,584,944,722,186,040,645,
000,114,717,834,776,918,168,483,145,989,195,134,705,632,733,155,029,666,512,
466,540,655,904,802,914,989,933,260,415,196,626,811,951,437,592,034,672,868,
431,458,997,773,120,818,529,208,716,621,938,743,305,262,468,279,114,114,290,
506,916,749,770,320,943,206,352,411,644,467,270,822,046,299,607,780,046,872,
192,546,699,452,767,311,741,644,574,921,817,724,204,836,925,192,822,373,410,
954,986,752,022,809,024,454,852,271,774,331,851,053,286,346,036,874,888,611,
774,154,929,395,045,011,053,773,109,503,635,308,503,642,001,295,824,578,904,
696,494,757,732,627,332,093,657,914,367,660,497,016,178,642,262,051,278,559,
277,425,837,976,830,934,761,963,142,853,719,501,839,967,352,349,971,157,470,
098,148,209,027,531,992,756,921,515,263,826,768,033,093,508,878,348,476,071,
677,305,568,803,556,768,314,620,738,973,027,154,457,998,716,823,521,588,996,
958,765,366,818,446,305,870,366,150,538,207,966,710,934,811,901,983,121,108,
626,285,363,320,800,895,008,730,824,721,555,032,753,083,695,362,754,373,372,
741,595,277,520,925,499,745,722,812,784,929,268,781,928,265,085,936,208,997,
715,482,720,874,546,251,732,940,697,006,839,425,284,349,937,170,822,035,259,
409,517,149,528,305,986,646,298,272,416,381,822,511,383,259,966,537,400,652,
814,252,086,535,732,227,206,010,828,159,876,554,809,776,033,376,007,862,885,
938,568,429,841,488,113,415,784,186,499,334,912,106,271,316,261,593,955,515,
687,926,988,773,644,587,723,047,017,195,020,424,569,894,014,464,909,817,953,
448,426,127,139,245,764,221,419,177,512,027,885,190,300,501,570,460,546,375,
598,848,055,274,673,623,346,256,996,552,560,036,242,926,352,583,348,144,247,
974,297,779,789,406,785,619,138,285,247,940,967,334,769,664,439,409,184,098,
550,973,444,585,407,824,663,497,386,829,391,945,760,706,543,194,294,525,818,
335,505,449,237,468,727,526,601,352,419,939,196,324,620,342,778,360,036,238,
912,143,179,550,921,557,828,668,149,891,465,417,053,382,551,271,788,125,042,
779,294,768,227,244,225,051,553,955,010,913,575,462,966,815,964,334,565,892,
794,150,194,407,730,430,978,663,714,715,345,966,653,436,561,863,497,190,347,
192,951,176,220,862,746,359,734,933,787,881,795,073,115,519,386,892,233,774,
227,351,101,457,664,536,272,955,026,012,694,674,034,918,991,423,091,795,633,
369,963,884,855,158,206,515,381,570,906,131,436,123,986,971,381,060,805,203,
920,641,800,230,542,289,883,916,116,564,813,082,019,271,025,688,772,708,237,
071,127,206,723,263,194,706,682,733,913,096,153,070,418,984,278,161,847,429,
140,479,827,201,388,154,409,435,703,898,418,788,421,983,518,252,571,558,507,
610,290,193,377,806,393,644,628,198,809,759,512,966,403,288,347,086,708,436,
163,210,831,973,688,353,102,140,637,214,802,296,174,382,080,788,497,610,750,
885,519,478,239,441,118,272,122,418,314,314,124,092,519,905,872,158,454,362,
174,499,951,707,602,470,217,969,211,091,976,433,530,970,560,761,154,284,012,
930,881,903,223,216,384,919,916,805,394,593,755,934,227,164,029,186,472,296,
388,280,165,230,060,569,180,018,316,849,560,741,415,474,388,840,602,681,068,
172,581,276,258,548,894,587,086,575,203,919,768,542,214,773,454,663,923,107,
772,837,341,398,157,131,504,603,774,244,933,564,286,612,335,346,408,730,679,
036,472,051,897,669,954,737,808,046,266,664,001,998,527,761,001,582,188,770,
803,598,849,525,886,001,102,597,792,758,950,441,841,638,120,377,081,495,581,
670,360,841,026,903,974,459,742,640,539,613,499,744,418,996,105,594,529,735,
444,799,856,630,724,453,221,516,889,429,370,130,288,848,904,826,821,352,935,
789,901,718,505,368,240,009,883,978,641,391,255,342,992,523,047,463,251,502,
298,332,051,994,869,929,292,702,443,010,972,033,066,231,151,159,346,107,776,
349,876,267,676,464,306,879,301,501,509,246,099,929,535,216,880,463,181,563,
761,584,898,165,280,905,575,830,624,058,692,164,390,086,798,190,974,134,012,
457,076,718,248,412,451,815,051,708,665,989,858,056,455,457,125,133,638,137,
057,650,010,375,714,622,917,715,472,418,204,105,880,525,291,183,586,547,151,
426,061,716,346,689,750,009,903,413,574,501,032,241,492,695,957,259,785,220,
084,743,414,749,180,458,466,410,948,701,879,688,571,398,934,114,567,346,566,
638,477,456,284,938,984,840,176,594,370,222,220,999,397,049,318,221,130,342,
747,171,266,987,350,677,805,784,718,890,283,078,836,755,824,338,068,205,256,
995,944,894,539,964,685,069,512,455,385,533,294,688,978,550,182,881,194,838,
659,427,132,799,308,531,101,615,660,336,443,583,516,146,802,815,963,061,047,
589,600,743,082,110,677,631,902,760,563,326,272,855,501,790,947,579,793,652,
436,351,478,248,965,581,475,323,110,382,371,216,607,059,213,152,630,394,805,
377,253,598,056,848,067,405,173,552,018,609,770,029,725,933,066,307,000,255,
390,839,071,116,267,343,929,008,039,113,808,800,167,178,739,501,894,345,687,
263,141,085,869,214,890,449,646,760,424,246,143,522,583,981,997,839,603,236,
332,314,939,236,404,686,648,539,203,045,481,190,820,304,077,955,015,814,907,
455,440,661,636,721,933,311,948,209,012,248,626,764,315,157,645,052,094,299,
577,521,602,424,838,876,892,624,144,254,711,992,401,295,500,369,593,412,751,
348,087,462,982,295,769,530,909,463,222,365,531,071,215,983,738,807,353,433,
406,065,537,743,906,834,670,610,578,697,959,270,232,092,691,685,287,968,709,
499,037,891,691,262,745,314,472,675,691,475,463,759,642,179,521,893,548,237,
454,353,178,558,773,146,050,174,030,849,908,862,801,094,976,666,378,240,908,
001,605,985,191,292,617,704,995,559,334,308,052,320,821,257,788,206,986,370,
175,064,771,839,757,382,830,709,563,421,648,753,991,906,317,034,329,663,531,
914,366,710,725,473,157,978,098,540,423,452,196,909,018,570,927,156,863,577,
038,899,649,995,546,159,364,313,246,165,581,676,157,481,808,381,371,435,322,
066,428,964,309,357,288,394,944,892,485,358,299,945,698,909,562,355,638,861,
977,679,929,751,405,042,122,322,516,684,870,456,029,273,056,401,844,273,751,
894,588,657,409,180,352,227,223,410,194,170,819,712,979,734,528,851,551,620,
795,971,701,116,110,444,858,970,447,735,737,707,009,094,360,171,466,339,414,
672,143,879,269,444,250,457,602,098,453,931,291,545,223,075,142,703,229,368,
289,260,340,600,795,506,695,079,201,470,607,118,701,709,047,136,966,347,344,
320,659,582,106,283,203,991,941,136,291,007,040,112,499,636,834,183,158,298,
693,236,533,726,258,318,847,595,774,705,498,594,118,550,767,207,630,308,495,
892,103,844,226,337,185,258,592,863,616,183,016,561,212,519,891,065,309,326,
712,350,353,569,953,517,565,927,235,705,439,731,367,032,775,889,755,012,660,
046,897,907,973,881,090,269,386,215,846,238,331,412,036,111,697,579,504,582,
532,039,481,106,559,222,260,904,059,175,797,316,700,079,216,841,773,254,194,
011,197,551,690,686,591,016,192,882,918,232,479,226,128,365,628,579,290,232,
022,541,885,245,016,861,265,763,680,074,498,172,314,972,444,629,970,485,374,
640,821,198,680,605,170,690,734,387,052,399,830,577,282,491,506,174,004,727,
184,154,549,262,999,924,022,326,776,517,439,640,375,360,069,759,053,424,637,
292,899,602,572,399,229,419,274,810,071,375,744,100,736,166,147,187,815,802,
739,241,997,420,394,338,334,961,137,540,129,034,097,374,637,241,152,894,951,
619,180,483,401,066,151,573,143,722,325,247,735,808,275,506,390,710,242,849,
558,408,480,824,930,064,917,697,797,622,735,831,398,580,210,938,031,967,825,
454,923,806,273,915,521,810,000,340,678,801,620,456,046,711,390,742,572,123,
294,651,475,629,387,459,597,333,297,738,042,943,334,782,227,951,708,120,030,
538,180,680,841,967,243,916,998,902,575,633,965,416,514,734,730,901,655,112,
034,826,717,274,125,412,465,373,503,136,991,073,507,717,185,381,423,030,200,
984,305,282,241,106,338,184,394,265,970,423,099,364,237,664,628,774,465,616,
313,452,299,686,659,982,212,255,275,072,569,438,391,804,021,282,550,622,564,
435,901,088,308,790,189,005,423,007,781,874,978,268,243,813,396,240,854,092,
755,106,887,893,605,671,747,944,084,206,440,915,114,452,988,384,378,584,229,
500,927,016,951,749,470,551,616,597,605,000,717,100,634,640,945,085,414,677,
244,096,322,676,334,726,722,282,005,714,332,581,441,464,854,245,240,763,741,
504,321,939,571,089,324,802,374,972,124,808,553,647,842,557,926,465,623,268,
756,637,389,810,812,948,011,506,846,632,211,241,670,102,460,733,476,649,732,
999,922,267,475,234,674,383,554,917,423,995,394,936,922,600,977,250,017,872,
902,472,649,980,804,115,211,714,754,840,884,414,308,819,570,067,279,618,226,
385,040,540,762,250,697,425,860,727,136,011,099,785,450,691,061,615,414,073,
386,169,382,594,794,134,840,760,673,816,010,852,654,027,818,446,689,148,700,
243,861,536,356,384,089,114,505,237,087,080,801,990,444,247,285,991,035,155,
584,326,709,488,453,187,038,794,550,784,899,334,280,443,181,927,312,786,635,
551,063,168,642,621,309,833,903,362,069,325,019,872,988,279,516,073,894,594,
604,316,269,084,017,668,890,177,109,201,347,299,606,060,981,984,640,766,440,
863,187,664,715,693,148,074,824,246,808,524,952,220,322,176,526,013,304,158,
865,762,290,647,725,801,090,602,511,324,679,061,504,915,830,904,735,388,385,
578,629,694,716,465,411,778,821,185,822,581,468,466,697,450,750,650,628,956,
450,722,740,884,656,113,379,570,185,559,109,935,817,648,010,140,615,134,373,
844,158,741,888,098,913,777,912,879,977,364,720,910,559,364,500,453,119,761,
905,682,310,476,332,509,143,527,854,669,429,425,416,535,804,535,479,373,008,
147,341,884,647,495,912,087,660,713,834,307,771,258,540,207,728,327,495,893,
669,083,871,803,846,282,551,368,453,754,820,127,113,808,507,974,960,447,202,
437,336,767,979,086,700,769,824,757,547,807,799,199,108,265,501,221,304,062,
569,271,975,799,028,620,231,026,782,651,445,545,473,754,020,143,410,516,130,
368,240,707,407,387,569,933,282,687,967,892,690,967,143,198,390,508,755,465,
111,817,714,287,199,459,724,247,208,395,414,672,271,896,635,322,117,718,241,
092,682,302,108,626,340,529,377,224,291,582,376,071,258,735,055,761,561,796,
368,878,892,684,144,507,959,790,556,985,247,943,008,280,343,597,165,321,561,
134,753,370,992,332,557,483,731,324,609,812,876,481,793,423,228,148,944,726,
009,427,620,373,163,234,198,343,292,539,356,455,296,687,223,531,312,065,510,
563,838,739,381,590,107,198,138,582,998,290,902,543,057,628,478,663,512,893,
544,442,812,737,320,414,800,472,826,541,260,392,495,660,429,326,581,158,289,
851,763,206,352,114,971,322,571,011,532,887,724,387,047,416,320,702,602,306,
684,916,624,994,801,704,772,221,845,242,147,601,051,855,276,562,194,865,382,
020,721,172,157,895,313,373,906,841,662,810,812,342,270,534,402,876,051,462,
203,973,221,862,580,861,021,464,301,845,879,254,859,593,277,746,992,948,624,
710,105,297,095,820,536,145,732,655,826,996,548,753,160,270,991,794,449,343,
572,086,480,079,960,800,129,187,206,700,495,663,730,284,621,474,626,482,335,
928,927,961,524,466,359,182,334,148,952,307,328,395,805,539,981,710,842,827,
920,437,974,271,920,711,060,815,112,371,366,431,714,391,920,412,254,825,561,
372,430,395,146,736,086,251,512,344,390,961,503,680,911,621,145,567,674,716,
224,488,576,100,522,031,049,870,189,732,490,244,526,603,350,094,454,202,570,
429,661,015,780,775,673,630,994,857,576,125,208,872,164,900,205,041,542,939,
417,670,046,109,403,866,123,316,689,289,414,835,981,847,837,592,746,611,720,
176,927,001,555,586,246,470,718,765,901,159,750,912,071,800,413,801,984,256,
472,514,609,615,411,960,759,782,126,375,756,567,567,690,911,913,571,467,667,
172,014,217,064,197,384,488,115,997,627,443,696,938,754,456,994,094,955,445,
878,248,502,453,700,563,942,267,496,990,648,245,969,207,038,343,302,860,623,
222,080,961,783,872,534,481,596,268,262,174,645,619,032,827,346,232,859,747,
859,056,917,276,031,360,445,798,198,518,815,667,184,031,799,830,391,327,416,
154,205,927,825,908,233,023,042,591,031,758,013,554,660,520,453,136,522,383,
644,084,629,727,681,103,694,791,262,616,448,440,097,406,992,984,366,933,747,
382,917,707,390,133,508,797,144,208,318,927,996,123,806,972,748,735,308,420,
379,432,910,312,473,069,571,994,579,808,253,880,641,394,245,821,984,596,526,
237,600,155,542,395,150,194,408,043,647,310,813,511,981,079,245,173,932,630,
608,728,137,751,294,666,674,824,318,214,480,559,598,688,249,346,311,730,100,
778,872,419,950,916,672,524,649,910,248,297,401,031,394,665,609,811,495,767,
241,741,331,303,717,774,795,914,624,251,398,935,921,439,160,174,138,821,591,
579,224,255,048,223,931,116,375,679,557,328,900,138,607,809,654,844,046,092,
247,951,913,820,750,723,088,502,823,632,945,972,868,248,678,333,257,071,778,
773,736,155,451,827,376,524,326,778,576,411,492,986,535,162,755,181,213,694,
862,567,109,437,474,938,305,253,893,763,164,164,958,540,842,256,813,711,718,
713,012,790,591,472,680,154,619,193,257,634,889,076,636,275,634,105,100,982,
184,707,042,354,262,888,367,212,337,216,260,256,935,972,995,436,122,262,621,
144,116,450,042,594,371,278,167,421,824,856,510,933,086,027,213,245,918,682,
417,187,267,788,556,485,665,379,108,588,755,762,804,034,721,241,131,708,825,
542,865,650,185,891,568,664,362,925,751,335,824,546,968,976,662,548,178,777,
857,426,323,953,831,683,905,667,878,313,466,544,677,423,934,550,506,856,256,
486,531,807,659,737,389,079,717,840,808,545,724,436,666,293,410,689,772,200,
006,019,103,912,492,875,710,341,362,181,562,219,408,618,738,223,539,488,986,
255,551,778,785,613,495,913,238,725,431,427,185,674,953,108,450,709,765,517,
553,639,714,735,024,723,784,596,818,711,754,305,342,763,609,766,436,175,166,
662,951,393,788,252,287,353,324,621,172,137,537,734,819,608,436,939,817,103,
644,296,324,177,340,306,685,009,931,258,299,324,358,917,420,931,850,643,030,
267,989,315,674,310,149,062,781,224,077,454,577,342,071,205,206,509,174,879,
090,832,167,345,240,209,289,421,475,617,641,972,268,562,606,488,896,020,547,
272,033,409,767,226,485,616,238,663,519,248,410,167,550,558,563,330,944,891,
425,697,536,416,537,954,994,964,775,861,201,660,000,207,450,861,772,463,795,
654,680,159,029,802,469,942,932,244,602,985,702,702,338,559,803,360,495,809,
545,826,049,053,870,383,160,836,755,513,733,921,383,236,808,469,965,036,223,
354,094,293,807,390,344,249,754,536,454,962,676,403,186,875,525,081,445,193,
845,488,529,813,876,180,238,551,307,278,755,932,925,555,645,503,530,787,461,
295,413,809,122,323,255,148,427,823,124,406,835,505,334,163,679,349,903,593,
282,336,287,238,652,201,325,525,292,914,408,874,414,380,600,539,083,026,973,
275,859,822,049,953,494,603,873,901,030,899,885,524,864,523,189,982,525,389,
348,015,279,785,117,667,422,218,354,779,465,817,396,497,623,749,288,690,337,
318,664,423,365,201,148,796,577,375,785,945,047,750,950,472,188,446,524,246,
150,049,246,600,934,218,550,586,413,701,973,969,916,225,435,241,229,809,468,
787,098,332,160,420,685,675,650,146,250,256,211,320,031,925,444,250,790,462,
263,899,094,055,810,920,746,779,378,581,169,531,208,452,249,719,425,546,224,
268,764,270,881,151,584,654,415,981,701,599,299,334,328,937,245,187,114,986,
824,727,120,322,564,883,785,156,746,155,088,495,424,620,156,136,731,304,734,
969,285,988,393,786,440,187,833,425,380,357,003,579,171,087,739,728,315,034,
607,530,056,591,653,255,451,834,857,580,839,086,369,338,546,557,225,504,000,
036,089,215,143,530,885,727,186,579,845,167,404,739,548,555,074,707,928,164,
413,942,883,765,694,269,431,574,111,612,258,480,476,798,768,210,440,464,568,
976,401,243,387,584,447,568,018,623,747,534,807,402,385,398,108,585,990,936,
221,101,438,925,049,518,724,582,863,783,227,809,675,735,468,130,182,665,048,
495,215,581,472,051,144,932,954,290,899,484,456,894,883,518,374,911,096,618,
584,322,348,000,125,418,784,778,584,745,329,484,384,831,958,286,342,180,696,
165,312,240,134,007,872,824,464,549,962,785,366,483,862,076,626,162,788,613,
512,271,706,205,386,572,094,986,813,856,035,267,482,647,512,208,648,993,120,
408,643,200,303,106,121,296,787,763,296,626,429,403,330,630,129,231,951,991,
540,674,274,354,761,074,734,068,161,921,138,381,263,569,576,106,533,071,778,
782,757,314,750,647,294,899,917,148,951,443,087,269,002,856,924,910,714,306,
319,464,870,166,652,102,332,507,942,799,408,591,920,918,228,844,384,219,618,
485,713,212,404,800,179,976,043,117,390,932,664,962,983,709,722,830,578,069,
684,092,467,376,559,313,390,285,148,411,664,052,905,445,684,227,865,135,352,
514,150,924,166,386,519,653,239,552,903,685,657,424,117,808,674,551,678,534,
206,310,675,329,189,039,730,187,998,655,530,830,931,387,078,104,028,002,598,
582,541,110,518,408,710,761,058,282,456,224,746,000,429,981,938,860,696,836,
937,937,214,687,413,330,234,172,808,203,640,114,714,184,936,807,840,287,361,
325,136,630,147,896,856,772,380,475,230,690,047,398,499,650,449,189,814,994,
842,593,406,679,372,568,407,270,544,338,650,247,145,236,160,006,339,172,820,
526,384,328,525,651,267,326,365,135,118,993,606,695,837,805,982,466,669,293,
917,566,891,579,484,295,152,306,577,639,054,886,933,753,760,593,758,582,584,
617,742,609,524,165,539,641,368,100,481,213,416,789,581,207,702,336,830,459,
026,695,621,470,931,502,858,126,900,065,523,838,001,033,147,525,405,615,679,
673,005,318,951,654,584,216,813,845,315,937,913,836,509,658,497,718,258,653,
212,577,017,117,149,252,889,477,470,440,968,107,065,481,190,267,195,731,514,
467,472,255,659,441,291,233,904,464,495,914,112,062,801,960,769,202,657,202,
300,065,920,994,085,050,036,057,343,871,339,458,509,066,269,192,164,045,930,
371,530,482,694,195,619,222,950,633,288,441,868,828,981,888,734,814,633,324,
355,198,355,973,564,793,274,408,339,351,462,390,009,599,602,846,235,487,416,
689,117,136,657,484,272,732,520,913,383,252,763,046,915,609,926,408,733,270,
157,925,895,031,685,239,487,641,902,685,263,737,469,839,990,045,366,429,377,
949,954,021,466,839,557,502,136,276,005,087,040,040,623,289,610,244,274,583,
118,655,078,576,736,818,780,260,011,683,355,592,587,012,808,038,983,319,040,
576,645,752,064,192,967,462,438,998,107,693,120,781,785,139,753,774,499,730,
753,546,916,906,851,838,289,473,732,588,378,035,303,578,783,390,110,433,196,
563,929,352,914,781,086,917,183,012,896,309,124,172,253,795,835,187,121,120,
379,364,650,363,477,085,476,579,205,374,531,958,400,683,632,781,579,065,728,
949,468,140,390,567,445,437,700,325,725,389,232,454,383,182,452,206,950,200,
075,257,112,085,663,930,498,485,311,412,103,176,965,544,922,912,505,856,650,
735,107,526,305,351,679,213,760,522,412,260,396,523,035,382,613,543,247,731,
381,675,901,869,594,527,481,670,914,326,342,212,180,998,285,993,774,414,319,
361,385,274,341,847,326,550,741,878,267,086,442,915,390,109,620,499,107,745,
167,872,909,811,576,219,451,858,488,827,412,373,840,123,937,207,030,030,716,
288,854,723,987,871,589,848,717,167,445,977,648,719,930,163,614,756,948,267,
003,470,963,672,124,615,764,761,923,243,384,077,979,335,428,550,012,496,307,
192,298,250,473,578,060,443,669,468,851,018,650,751,133,434,322,474,730,107,
742,798,838,251,147,845,329,703,944,221,786,777,387,477,544,288,955,177,053,
186,421,184,577,707,963,098,410,237,547,647,196,448,412,996,535,580,062,581,
995,417,007,035,623,617,611,879,920,822,244,931,030,986,135,350,307,197,665,
044,534,918,549,522,533,804,095,224,986,080,277,503,180,613,866,098,615,593,
915,812,121,394,061,398,412,275,360,300,507,281,128,109,250,483,992,300,874,
438,953,995,907,615,749,500,830,624,918,565,677,806,949,204,623,487,999,297,
016,523,210,511,838,763,551,725,200,217,345,427,658,273,156,807,010,048,822,
677,243,320,710,382,644,035,125,307,883,397,132,864,365,523,667,147,897,262,
611,006,860,774,289,894,877,113,214,992,333,284,579,102,293,059,911,911,176,
289,113,600,668,354,930,150,361,132,418,481,314,119,762,962,047,641,747,621,
934,883,394,792,258,461,334,358,538,676,244,958,177,414,383,759,576,388,985,
832,830,318,872,226,146,928,431,920,861,966,080,730,202,709,283,043,582,334,
485,151,335,053,255,421,565,963,711,289,562,990,103,538,664,332,761,056,089,
844,548,264,763,985,253,017,326,787,412,833,496,448,367,385,235,789,549,088,
783,175,579,034,537,447,856,429,893,164,260,793,959,110,250,451,360,170,532,
701,206,708,251,787,203,843,628,412,681,027,091,810,585,392,914,130,994,968,
453,259,881,471,131,630,922,212,265,355,648,818,231,685,782,613,567,567,591,
360,975,784,385,942,151,870,197,375,591,836,088,359,823,656,713,630,359,467,
196,496,151,706,471,182,094,546,169,593,754,569,410,593,739,376,802,821,356,
729,184,272,333,760,638,606,315,245,108,807,041,872,545,379,771,793,573,203,
732,969,705,443,150,522,452,217,680,724,184,416,109,861,043,862,620,228,163,
919,720,209,254,901,245,172,739,542,448,006,191,029,659,190,047,944,792,322,
161,567,733,066,611,004,722,572,654,879,787,933,538,913,859,621,029,616,919,
803,224,478,826,705,233,168,292,578,918,900,762,412,068,634,420,745,424,656,
363,801,813,535,559,767,852,286,139,338,407,712,453,015,105,827,126,164,472,
516,553,878,805,741,182,098,716,860,830,183,444,940,212,845,434,222,206,247,
265,817,054,284,981,810,276,961,938,655,796,871,331,166,152,213,678,223,310,
045,544,370,283,377,368,169,989,451,486,829,582,342,850,433,782,908,856,083,
855,301,901,806,274,439,598,032,075,858,970,664,406,640,041,908,096,230,643,
242,277,059,848,274,431,305,800,972,223,572,683,873,314,464,015,423,215,407,
665,964,899,084,103,386,401,564,382,614,122,666,700,179,549,672,332,283,860,
115,224,306,067,224,731,624,999,480,780,146,936,482,869,761,863,797,542,686,
543,324,822,934,090,537,742,238,284,637,822,820,251,648,749,627,299,441,763,
587,583,451,000,402,331,398,245,400,243,011,187,242,123,437,044,777,747,627,
825,756,785,821,118,900,327,410,115,202,131,157,809,705,666,294,710,588,410,
050,161,918,348,723,882,997,226,926,585,722,949,934,967,092,652,616,096,281,
817,606,877,414,038,924,121,188,101,341,712,441,532,324,992,633,370,728,550,
948,463,559,425,871,249,875,058,671,708,067,148,123,361,863,972,669,283,108,
092,309,820,297,166,789,419,930,008,948,475,643,926,069,369,400,413,809,174,
637,190,654,237,951,583,287,098,048,129,418,532,751,315,895,574,085,520,702,
999,740,733,996,538,676,076,594,641,155,719,365,151,484,578,160,233,197,609,
806,053,372,880,352,400,318,934,760,214,481,248,373,722,828,716,714,760,282,
752,871,588,965,545,883,063,502,098,506,484,621,190,383,434,026,214,038,736,
805,630,870,459,657,791,025,158,710,075,554,318,247,375,827,624,148,987,577,
086,804,128,876,958,362,712,209,112,298,724,428,701,106,203,736,422,689,147,
575,012,122,714,283,905,957,126,394,580,104,911,310,167,031,250,612,077,313,
112,597,967,934,513,741,747,843,235,675,799,225,664,232,233,143,208,225,474,
685,204,964,405,600,267,982,656,841,044,747,027,927,683,052,592,408,236,123,
993,281,002,974,429,365,255,730,454,937,223,830,772,175,551,113,531,780,483,
875,732,025,737,291,581,608,428,152,877,349,109,107,954,849,964,030,883,758,
456,663,277,724,259,695,035,839,096,514,920,361,708,496,114,045,758,871,416,
508,880,164,484,936,352,598,638,075,719,454,611,755,411,562,064,852,164,890,
820,373,010,177,564,955,706,145,863,054,041,984,877,950,265,464,876,207,986,
906,854,063,089,768,029,364,324,214,543,430,590,201,860,032,073,721,912,473,
499,104,868,664,948,587,674,099,975,472,825,931,692,676,200,181,608,006,957,
624,779,326,206,918,813,921,780,861,926,615,561,464,052,973,626,115,735,511,
952,915,469,257,692,187,289,367,008,640,109,598,618,260,326,330,470,947,811,
316,654,167,424,209,990,888,943,825,158,688,365,279,750,073,931,628,745,169,
807,780,251,745,502,389,404,497,667,487,982,350,703,913,652,901,350,100,785,
815,008,152,648,612,896,451,853,373,658,580,308,204,102,185,058,644,003,803,
592,866,185,715,424,869,557,955,761,570,119,387,941,617,513,110,073,442,650,
428,106,477,421,353,724,474,200,931,364,090,338,150,647,809,443,218,801,862,
486,507,880,880,418,162,950,459,789,990,964,196,672,253,461,548,506,460,369,
349,685,710,277,391,086,323,574,598,203,469,046,853,830,194,554,122,735,126,
033,416,078,656,417,884,184,538,840,695,958,549,067,337,092,813,719,652,702,
362,341,011,203,577,143,562,614,585,054,999,460,784,924,355,868,295,278,191,
922,444,032,490,095,651,663,919,566,996,150,248,378,226,728,363,066,402,813,
150,701,493,968,713,886,884,204,632,534,350,571,231,347,505,677,596,508,562,
554,749,578,959,069,691,551,586,905,360,170,357,942,400,280,885,557,547,217,
360,654,782,372,381,893,863,589,837,057,013,306,107,931,828,493,011,670,265,
795,900,116,420,335,898,048,593,354,499,028,007,734,536,015,956,757,174,155,
989,013,326,905,989,056,678,923,459,381,625,961,653,089,594,775,590,587,143,
517,643,070,576,402,955,067,674,888,212,733,087,736,458,069,303,956,452,182,
996,921,521,089,522,282,622,782,937,448,865,182,245,660,561,102,410,047,831,
719,440,650,538,687,904,154,448,097,476,013,971,486,508,579,862,640,374,778,
012,164,176,108,282,357,529,912,083,533,022,416,981,723,276,981,756,581,631,
379,492,963,022,171,298,109,577,888,694,651,873,223,916,971,055,775,627,779,
388,969,431,693,292,591,653,002,772,594,220,784,092,186,606,597,455,063,828,
857,972,098,478,929,259,582,016,203,729,968,481,983,530,756,469,055,268,800,
865,746,873,580,528,346,528,567,119,104,594,033,715,798,553,474,105,134,420,
322,741,926,725,689,635,058,931,882,137,526,650,607,680,211,913,485,439,225,
734,166,762,666,213,546,481,810,627,291,053,620,512,700,949,688,963,277,869,
006,451,784,373,401,073,432,672,340,721,260,939,358,799,300,157,965,505,112,
444,535,797,530,369,458,458,274,630,128,262,093,027,580,698,147,010,271,083,
229,473,873,962,483,697,655,253,513,442,380,676,008,570,563,483,660,523,408,
545,128,593,492,093,937,410,640,778,530,040,839,869,337,891,596,204,577,636,
799,978,721,028,403,650,959,396,187,682,024,801,068,032,492,883,154,246,055,
526,121,939,627,746,090,524,749,638,006,096,781,451,490,807,411,244,297,937,
677,548,637,941,960,947,879,463,944,085,841,362,738,504,503,917,021,799,462,
856,081,559,965,500,915,570,416,102,989,257,992,127,079,885,958,371,550,256,
861,360,273,024,406,102,955,550,069,392,874,652,060,017,851,568,534,831,334,
876,136,166,311,297,630,729,590,508,982,923,828,714,337,767,299,026,225,342,
130,734,748,936,936,296,497,085,960,239,266,047,214,574,966,085,205,759,531,
331,493,609,615,363,886,260,238,317,120,221,961,608,428,919,600,840,634,771,
982,795,086,007,715,953,804,601,294,194,613,722,236,423,674,121,816,002,472,
122,460,969,024,291,814,177,969,386,719,443,332,232,518,532,823,626,708,447,
457,317,523,059,127,851,720,178,622,237,739,242,070,859,882,125,690,493,256,
378,300,385,235,969,452,588,445,002,607,436,574,228,409,793,553,653,379,415,
407,334,084,330,053,284,369,185,838,463,538,684,209,203,854,088,888,043,358,
508,082,739,744,525,191,732,036,320,253,525,314,488,543,770,137,693,154,969,
203,758,225,583,983,702,612,236,137,059,408,724,357,961,057,679,542,988,792,
608,158,131,304,095,992,621,542,239,533,288,423,956,257,828,706,603,664,618,
105,704,347,097,906,858,381,535,646,826,552,267,706,501,813,357,201,838,705,
180,967,489,262,107,233,348,761,011,578,318,295,656,005,162,403,739,944,211,
929,678,331,659,298,278,492,384,633,193,534,351,125,119,418,928,739,275,925,
314,327,360,780,701,377,169,938,523,162,573,024,265,308,187,449,861,638,711,
828,167,183,419,060,311,826,318,892,962,435,791,075,813,511,860,645,022,069,
874,187,157,460,730,094,822,135,866,152,974,706,154,663,371,232,833,230,950,
347,426,541,203,107,629,315,961,109,387,255,607,705,917,290,489,513,111,213,
857,055,883,963,902,061,901,671,260,522,605,544,765,670,878,402,354,294,453,
594,991,224,624,621,481,688,441,896,988,152,531,462,987,872,103,165,058,593,
945,022,949,114,751,740,641,031,162,850,918,352,646,573,509,111,826,545,215,
007,456,340,040,498,733,093,295,110,833,210,457,153,315,402,761,598,564,983,
371,981,534,501,115,533,795,594,006,587,686,539,708,450,235,260,684,814,790,
311,208,833,129,718,135,118,912,124,578,521,121,462,060,793,975,026,988,377,
723,340,047,146,775,327,228,809,004,188,878,157,630,306,326,497,115,192,976,
536,164,640,876,424,741,816,598,153,438,013,669,892,747,387,419,725,873,726,
067,759,984,596,562,014,790,795,548,773,534,810,669,938,519,083,169,629,509,
390,790,842,441,273,457,153,822,215,368,149,275,620,210,885,576,038,303,653,
125,400,622,073,074,810,505,330,053,552,389,795,672,078,917,748,082,535,484,
358,553,749,486,861,987,883,299,666,060,899,278,016,930,886,386,638,990,959,
970,154,044,663,142,525,535,702,534,458,003,682,686,832,142,482,215,818,169,
503,705,488,178,813,024,245,318,041,978,937,633,007,985,285,589,415,234,538,
915,278,255,834,444,639,936,670,649,990,627,192,513,829,849,445,832,773,358,
798,041,570,531,551,914,257,404,227,460,141,341,517,801,478,622,191,565,736,
378,604,942,886,497,516,425,829,093,994,750,288,822,867,182,088,153,071,689,
605,935,762,819,803,470,778,535,510,169,730,713,849,010,460,664,116,020,038,
092,480,322,296,962,688,536,292,552,839,906,238,469,205,482,524,393,373,214,
245,836,952,374,068,240,873,978,306,327,561,786,656,417,428,811,614,893,584,
228,659,276,409,597,375,127,326,194,825,390,091,059,928,017,473,668,104,678,
699,845,657,430,350,755,290,123,904,712,685,853,905,484,935,868,229,989,132,
358,100,998,827,730,189,017,547,434,534,374,932,568,246,687,558,801,102,708,
062,611,526,134,758,058,619,979,960,368,001,555,811,317,372,904,222,718,034,
290,802,393,793,672,864,942,321,921,491,006,896,167,744,480,414,392,356,238,
239,061,767,762,213,937,363,003,834,224,035,493,898,973,074,296,926,689,834,
343,294,820,241,950,972,094,065,642,691,573,039,897,207,000,631,302,287,620,
865,364,268,298,116,095,641,005,986,905,402,629,631,320,285,088,703,839,140,
560,119,770,679,680,858,370,557,870,372,194,528,119,001,063,016,137,129,027,
661,293,154,027,005,888,301,934,962,525,218,763,158,506,922,613,945,035,126,
936,467,129,383,753,681,628,647,451,351,100,102,705,788,205,552,273,500,575,
626,374,556,834,208,410,689,284,642,684,036,774,787,806,182,700,475,856,069,
472,558,390,242,978,500,456,413,932,664,555,846,065,840,612,080,012,532,895,
734,854,744,147,625,483,017,096,494,844,032,912,518,099,090,871,966,031,004,
141,406,062,553,893,941,775,046,016,596,355,734,940,833,106,178,063,227,897,
152,674,991,294,193,894,234,494,403,372,965,244,611,745,680,897,306,646,941,
159,397,169,594,832,609,535,202,130,917,649,171,993,896,028,963,272,202,255,
602,434,312,743,070,991,024,303,742,376,154,986,769,881,884,504,684,488,726,
085,903,297,376,071,298,086,894,189,045,401,854,682,297,138,021,483,161,797,
881,893,945,650,038,378,352,887,552,703,059,568,112,750,127,182,004,431,648,
117,313,072,420,562,783,502,488,762,968,630,536,953,866,752,776,743,710,290,
448,041,262,861,150,260,439,329,953,740,968,162,547,458,799,658,025,909,475,
602,638,676,704,788,803,708,558,052,550,178,791,716,483,182,223,273,166,027,
320,187,304,776,255,412,762,646,336,029,713,996,153,601,370,518,270,737,517,
227,740,558,988,145,386,830,168,544,154,564,873,320,071,187,354,305,027,931,
294,272,834,257,721,429,710,340,373,128,683,603,902,868,149,148,289,353,066,
247,909,241,306,494,587,537,589,362,021,835,959,096,914,044,818,482,969,905,
043,788,465,708,205,188,200,336,759,413,257,685,838,039,090,301,968,593,642,
569,683,814,206,745,650,467,616,154,599,441,896,702,144,899,148,233,300,051,
992,361,036,110,697,453,894,792,277,856,552,378,921,025,408,695,321,270,466,
290,382,267,115,787,146,975,473,083,339,945,916,047,210,055,252,555,778,201,
113,771,151,199,641,804,049,673,875,585,201,084,812,403,889,580,111,151,267,
896,472,204,679,839,125,747,936,267,520,437,499,477,668,533,660,435,977,222,
782,683,095,913,076,181,762,307,125,349,718,348,818,341,696,342,428,587,588,
504,254,430,243,863,269,796,890,242,253,557,671,792,265,707,875,515,209,371,
679,115,304,621,969,881,542,756,452,726,821,651,815,134,150,425,011,350,950,
330,701,586,734,491,984,451,980,061,843,108,676,753,265,100,614,129,482,021,
306,743,975,105,836,504,018,869,067,733,917,067,252,608,828,209,447,393,175,
342,842,639,301,787,543,323,884,652,029,685,675,515,755,975,687,023,050,567,
561,260,728,583,024,862,833,267,672,086,944,846,147,477,262,374,695,424,478,
103,915,336,890,260,229,391,119,104,751,823,025,656,570,481,903,384,870,854,
259,900,677,741,743,806,737,225,600,494,805,564,110,360,642,336,878,879,014,
187,093,450,682,589,947,006,703,027,374,776,883,830,184,082,182,068,698,819,
781,998,010,848,895,802,132,780,174,327,520,502,976,281,284,322,001,188,739,
665,079,970,217,083,501,533,332,798,712,370,296,636,357,806,121,375,438,336,
678,352,499,953,567,816,998,776,081,660,315,780,661,019,969,693,053,333,756,
259,559,289,553,183,615,245,430,947,899,463,420,889,159,077,179,228,955,394,
262,198,029,428,719,511,875,037,394,268,642,586,433,549,158,096,404,801,625,
206,257,965,990,985,292,397,455,492,980,228,746,764,231,364,392,844,154,470,
756,062,489,672,257,621,920,201,897,896,354,124,342,445,224,788,251,135,323,
704,998,881,117,266,820,152,837,128,321,027,876,583,068,852,388,312,294,993,
862,342,379,969,718,963,993,475,822,109,632,346,618,096,263,074,950,792,955,
538,089,882,708,149,485,926,981,627,525,127,646,171,886,936,326,508,884,122,
017,084,547,156,347,434,813,737,426,696,590,222,673,999,016,991,032,982,032,
319,556,288,863,035,009,138,871,144,033,999,506,625,520,386,685,748,879,987,
103,060,207,205,636,652,121,014,329,198,074,640,477,123,878,896,847,138,335,
554,396,860,603,095,729,837,896,319,303,018,523,730,726,142,134,304,580,768,
952,131,136,948,658,707,981,589,903,177,231,775,931,861,806,978,795,459,340,
878,937,331,817,625,074,387,914,003,603,130,888,222,372,231,105,738,434,657,
177,454,579,362,852,530,335,707,097,492,872,898,819,560,520,193,141,225,714,
918,275,396,031,688,600,069,734,584,670,286,997,699,417,086,598,452,591,848,
839,491,480,246,132,821,339,145,322,042,879,728,245,314,382,180,009,344,393,
654,904,805,306,730,219,137,182,451,669,973,638,102,693,245,485,701,680,132,
195,053,331,373,776,557,685,959,347,963,541,512,790,404,173,827,366,710,877,
884,793,984,966,892,134,994,328,101,641,346,777,407,370,333,620,009,030,524,
159,006,401,934,645,877,620,750,275,219,678,317,796,041,499,760,444,477,827,
701,906,952,620,795,811,886,119,807,949,645,980,096,433,206,091,136,067,644,
125,098,491,836,306,851,340,116,615,172,630,477,748,818,132,671,432,322,018,
121,252,947,656,947,181,321,905,807,953,506,233,382,758,559,344,100,691,899,
867,455,974,548,051,598,711,462,772,413,898,985,105,685,354,977,864,413,814,
437,074,028,620,468,940,928,897,967,098,979,052,124,601,602,241,652,166,067,
471,120,999,131,105,161,869,549,554,177,345,828,711,504,381,821,817,480,594,
005,029,053,972,212,615,134,451,559,259,561,129,678,847,935,110,991,416,078,
463,310,912,325,567,299,599,463,686,959,534,874,247,616,551,191,314,480,993,
842,410,861,358,746,040,285,158,610,631,554,718,779,685,706,869,177,976,321,
039,377,332,128,522,697,980,670,805,433,681,469,277,403,291,854,020,422,214,
079,621,560,846,819,498,260,256,788,428,484,139,910,968,051,714,313,001,780,
587,599,424,449,698,717,915,926,441,227,196,179,448,478,432,361,580,997,105,
768,912,426,930,218,822,499,614,118,605,809,423,399,448,134,617,025,279,573,
374,714,453,295,573,612,472,772,859,460,701,936,407,980,865,877,275,299,169,
317,549,804,643,891,360,178,996,512,941,536,334,720,297,332,966,059,957,075,
372,405,506,412,524,722,906,938,148,153,982,998,433,740,041,064,569,572,989,
034,838,685,652,600,941,048,646,106,094,305,864,974,001,940,705,428,344,608,
136,945,534,547,173,974,711,861,165,387,354,575,177,015,388,632,689,095,187,
596,623,387,963,981,263,502,770,565,069,505,863,377,744,789,767,877,907,038,
388,520,713,645,710,986,152,311,423,859,989,742,891,713,663,909,183,642,957,
066,047,328,440,316,997,008,547,748,507,429,612,091,733,197,251,269,807,648,
097,537,563,865,926,154,141,827,724,609,159,425,315,935,883,580,799,549,949,
998,451,596,882,378,933,382,698,002,034,320,291,240,981,703,306,881,846,958,
683,112,865,612,404,381,706,493,453,449,752,633,897,567,949,193,989,334,174,
957,247,796,954,910,969,202,424,293,117,873,474,441,842,028,352,359,591,865,
399,244,789,752,761,504,009,312,079,214,284,180,769,726,582,683,833,147,684,
255,100,086,560,614,573,856,951,648,567,283,738,763,884,386,658,723,376,672,
052,433,863,313,044,071,868,530,634,450,659,628,366,071,639,338,712,668,887,
656,529,132,164,562,499,162,073,459,844,158,194,563,320,862,598,888,670,426,
931,553,817,971,871,929,698,859,612,071,893,919,893,153,625,842,860,613,436,
045,844,848,515,796,406,175,435,581,004,391,843,704,711,281,018,970,218,453,
147,224,990,632,757,322,506,276,786,226,073,445,943,040,704,756,382,480,113,
806,693,738,563,898,380,706,350,347,128,417,472,133,738,765,823,253,977,085,
060,343,119,073,611,519,924,224,810,443,639,314,739,768,105,448,349,661,381,
473,747,965,991,870,942,567,340,764,923,719,868,894,596,982,782,730,275,211,
022,283,604,606,220,559,971,688,817,900,223,448,540,606,924,811,743,794,696,
958,789,393,390,370,359,273,408,980,873,903,058,497,840,471,401,668,147,635,
622,759,876,528,730,755,075,467,647,736,375,707,817,168,059,278,909,998,133,
104,408,005,250,848,857,213,375,459,690,378,014,809,030,219,092,367,103,094,
680,000,535,190,204,130,201,292,990,364,843,923,168,342,721,881,443,012,435,
772,955,918,408,426,131,031,802,344,507,009,644,129,654,730,410,255,539,749,
310,633,544,865,479,443,372,404,464,554,176,004,419,036,897,663,177,689,671,
353,399,287,582,454,149,384,958,824,360,457,602,614,085,583,772,935,277,235,
851,383,903,186,333,710,153,396,722,062,046,287,898,003,748,527,436,041,537,
994,914,635,670,323,357,380,309,729,386,853,630,695,786,356,067,239,129,086,
875,541,832,500,272,218,882,200,980,446,321,292,491,711,421,825,117,073,963,
235,470,381,491,121,856,677,814,787,616,966,657,537,413,036,113,742,995,500,
170,512,481,797,964,538,362,950,274,419,626,269,793,165,982,003,078,942,837,
658,801,072,118,633,177,101,560,762,264,148,064,622,065,137,619,742,492,533,
460,538,352,884,777,514,486,435,386,654,658,546,259,150,446,569,198,728,722,
000,216,225,032,341,541,722,990,433,573,647,570,526,636,961,303,067,442,798,
642,129,284,402,999,445,401,700,161,832,079,487,084,906,278,350,672,686,457,
486,823,071,289,780,918,362,384,826,725,612,128,895,556,203,928,911,788,991,
809,837,483,792,506,723,283,232,657,035,297,718,365,876,829,329,188,495,603,
283,773,302,882,063,493,476,344,882,999,521,795,270,989,837,930,990,584,261,
871,813,353,781,815,165,643,579,812,410,984,175,698,188,694,702,286,676,377,
383,702,446,084,165,574,576,274,660,652,417,955,050,078,314,534,328,899,150,
973,239,918,751,589,020,026,998,883,284,519,982,761,050,666,817,313,233,649,
511,016,605,517,816,867,783,330,853,072,574,058,853,806,024,772,103,257,958,
237,907,675,150,839,966,857,477,086,112,398,315,521,729,258,615,960,642,623,
955,700,216,844,672,417,611,214,630,604,418,408,526,953,761,129,663,161,017,
315,433,696,398,082,108,400,618,322,832,638,778,153,540,826,617,175,737,506,
947,520,231,176,937,567,002,095,807,496,464,650,151,310,224,991,324,388,715,
274,840,301,562,402,089,114,409,663,606,556,350,312,805,483,370,134,223,900,
453,365,945,292,112,574,385,038,382,924,441,954,643,190,312,386,250,210,261,
112,348,160,998,524,555,979,897,865,241,735,347,859,502,705,016,362,598,611,
875,615,663,867,251,571,703,203,604,023,764,015,783,720,961,743,102,566,121,
367,892,850,222,677,250,685,268,564,248,973,481,744,969,225,914,165,314,089,
924,326,081,746,639,036,433,709,601,367,104,461,445,709,929,826,661,925,202,
537,432,407,377,053,561,416,457,841,073,075,558,195,280,663,305,591,125,128,
839,467,427,273,194,094,754,869,671,527,944,187,040,341,757,679,138,661,051,
683,307,021,534,856,767,614,932,467,365,710,271,338,940,759,231,301,488,919,
557,329,980,426,195,278,855,588,694,422,981,921,228,210,525,824,663,561,273,
463,869,426,034,188,824,015,090,906,877,216,669,171,021,978,770,429,745,033,
470,921,098,866,345,940,047,838,961,557,278,217,207,992,745,460,940,332,621,
480,717,504,547,009,863,184,513,884,368,116,821,957,525,706,658,725,023,006,
574,362,447,851,321,731,841,997,353,633,626,278,300,378,199,946,660,211,876,
532,398,089,241,661,021,326,621,446,992,654,887,970,739,676,481,181,006,032,
640,512,068,837,514,459,365,424,261,707,520,848,150,827,291,838,273,312,250,
981,087,458,979,339,816,932,853,419,543,786,209,607,902,259,175,553,777,914,
556,148,474,720,687,851,049,299,666,046,657,752,603,403,985,345,191,497,660,
186,329,668,044,844,702,171,062,589,938,054,452,895,509,987,945,938,666,004,
248,964,363,134,373,960,144,405,075,160,824,635,568,832,106,013,014,536,904,
895,860,867,685,262,754,431,899,900,200,980,869,444,619,810,146,752,854,401,
084,128,355,298,970,883,470,419,632,495,992,410,218,004,794,616,829,209,657,
265,162,468,949,444,999,887,130,629,811,798,135,349,439,383,047,346,629,569,
802,048,294,424,446,680,302,026,271,072,450,774,985,840,240,452,522,114,772,
950,776,730,313,714,475,005,127,742,872,905,082,225,368,452,376,805,059,243,
160,759,520,563,411,626,175,280,349,293,691,623,011,699,354,434,574,412,329,
587,363,973,831,291,452,344,548,647,016,120,165,315,024,530,356,797,555,213,
020,931,170,487,190,834,064,130,235,976,236,845,282,639,102,307,419,881,994,
916,767,590,761,169,333,835,678,347,764,225,335,593,694,213,921,145,920,770,
313,687,314,898,853,027,828,046,662,148,449,348,693,066,891,917,452,685,057,
179,288,725,026,443,405,149,358,204,364,952,279,042,289,997,061,942,841,758,
886,566,201,207,107,604,334,452,065,042,353,724,004,710,397,978,809,902,214,
306,524,736,945,896,449,610,154,749,460,946,946,340,899,414,170,891,887,674,
816,286,673,239,627,990,217,435,128,626,809,261,493,263,279,599,100,662,548,
934,755,112,314,038,905,176,495,591,706,454,666,899,719,978,006,844,795,877,
420,799,683,083,431,122,748,721,257,798,286,553,508,451,145,892,050,861,881,
878,927,797,080,144,814,326,194,632,030,518,374,577,359,653,639,390,671,335,
262,666,104,566,029,048,453,104,083,462,011,542,312,350,332,972,523,179,071,
295,053,398,532,582,129,047,963,383,074,978,178,353,502,911,738,251,196,851,
011,730,685,172,972,819,558,424,225,702,223,989,402,546,241,510,628,203,644,
361,665,593,689,345,683,748,857,453,820,175,598,719,208,337,807,816,451,807,
685,145,092,384,443,793,262,289,107,083,567,862,515,263,937,053,132,393,479,
953,668,371,077,627,213,049,950,019,491,498,284,228,818,895,802,754,957,972,
465,600,182,961,022,566,968,829,256,873,761,902,251,148,101,928,009,583,717,
090,790,720,641,831,599,727,455,373,234,393,655,025,935,117,423,605,604,622,
948,552,652,389,770,944,972,849,242,902,124,820,251,311,453,536,617,840,885,
617,106,725,900,436,425,237,965,126,214,961,564,253,931,684,585,079,003,075,
512,604,885,007,114,980,074,389,602,798,422,018,363,176,030,045,941,063,340,
034,146,811,270,030,650,610,555,125,536,802,663,016,382,477,607,153,424,670,
128,554,150,206,715,611,648,337,681,895,177,686,303,397,376,951,038,274,198,
016,313,349,153,655,039,849,973,675,224,771,074,176,661,497,454,981,008,549,
820,446,737,331,282,819,642,298,998,151,917,673,330,772,535,911,872,516,504,
943,316,760,414,196,305,342,222,530,763,357,218,700,933,609,418,456,681,095,
746,943,435,894,986,650,572,391,204,695,232,793,539,182,848,594,337,415,513,
564,691,247,219,717,997,857,523,468,192,002,051,664,817,089,816,916,267,452,
027,639,095,863,949,444,306,439,714,916,772,414,812,603,892,500,074,066,480,
233,041,403,694,765,813,969,902,750,697,995,576,468,552,305,672,545,820,720,
108,095,954,576,594,772,724,023,379,308,730,409,586,710,326,264,589,158,921,
884,460,166,435,789,110,612,485,877,983,365,903,196,634,704,326,520,600,636,
900,328,948,767,580,984,207,231,828,015,106,832,144,879,812,957,727,804,872,
574,465,829,329,968,155,663,688,769,410,506,365,790,486,914,629,077,662,713,
138,106,665,189,406,377,605,227,252,092,890,219,987,049,473,151,819,960,955,
738,039,075,594,456,384,527,967,966,819,147,811,077,751,673,466,640,350,124,
766,612,670,708,277,479,093,059,957,943,396,672,439,095,378,120,486,953,449,
838,848,111,397,381,910,725,682,205,271,441,460,595,726,141,919,505,424,192,
147,381,496,541,257,333,621,293,921,926,595,164,511,378,949,871,322,503,341,
542,823,818,003,585,437,093,291,672,667,620,266,786,226,131,239,536,951,001,
790,744,176,164,637,152,843,296,160,794,724,369,229,212,980,829,342,504,794,
946,375,015,043,724,058,642,965,447,774,419,999,790,553,238,585,036,335,979,
049,889,444,719,800,539,510,805,088,245,951,029,979,664,385,646,519,064,639,
771,871,903,916,858,917,221,559,524,032,409,611,864,413,225,015,824,018,620,
215,576,231,749,236,030,784,975,513,069,939,051,881,916,983,261,475,952,624,
891,709,905,396,395,209,591,188,011,963,407,896,753,317,407,070,895,060,899,
187,408,215,896,474,823,174,265,181,893,647,152,100,132,389,337,219,815,197,
284,075,777,683,482,747,444,137,183,965,126,838,199,621,259,698,369,006,192,
349,912,135,097,042,466,323,341,070,630,752,250,073,442,051,809,472,521,330,
968,123,971,886,346,459,049,561,844,889,469,696,529,685,223,239,418,012,634,
273,108,794,106,685,079,396,499,169,644,384,895,033,929,097,977,638,759,221,
053,098,261,949,596,033,997,545,576,148,077,582,840,163,593,124,001,547,124,
584,024,132,890,528,536,677,827,555,342,916,098,595,847,913,260,719,643,073,
626,868,762,806,438,340,581,385,035,761,560,937,372,149,336,869,941,916,774,
662,216,982,915,674,776,153,885,634,524,216,544,390,954,138,882,717,616,141,
158,411,486,098,706,517,603,231,809,242,393,905,764,472,021,934,852,066,629,
276,752,045,761,069,999,997,410,889,264,973,834,523,259,068,141,695,563,800,
176,930,293,651,002,823,994,494,400,464,529,734,680,540,545,303,102,724,461,
535,068,963,341,905,607,343,895,069,008,852,223,049,414,287,464,071,517,021,
846,106,012,432,490,947,547,305,711,534,323,007,869,677,149,314,346,887,481,
749,319,071,232,967,282,420,260,896,712,302,753,546,695,916,261,801,576,103,
562,139,943,821,688,782,590,067,644,002,815,739,772,801,231,044,887,571,045,
471,738,589,967,918,466,966,367,577,818,984,044,116,544,603,900,721,916,413,
882,936,117,890,705,117,028,957,030,017,021,252,427,563,062,589,624,155,376,
182,871,785,938,694,856,572,411,298,213,014,996,143,714,415,422,925,373,411,
739,299,091,448,727,140,709,015,833,052,403,056,758,219,820,074,978,723,462,
336,924,775,801,296,842,007,342,237,740,385,115,937,412,282,447,127,730,579,
724,424,893,734,471,874,546,653,867,329,710,115,115,638,097,398,138,829,364,
971,425,234,934,216,888,346,785,697,095,436,397,710,635,343,336,658,136,084,
669,439,581,590,781,379,977,872,077,177,084,750,902,728,086,338,212,850,367,
347,915,191,077,378,981,849,990,161,025,829,133,204,740,707,528,062,122,066,
046,631,202,399,018,194,806,610,448,118,414,850,571,442,108,498,705,938,754,
092,258,235,429,076,102,896,284,530,923,320,229,590,907,072,389,667,772,038,
849,396,566,026,244,339,341,196,895,107,256,304,518,776,179,633,591,560,606,
104,302,261,628,404,406,878,637,948,654,598,925,882,440,417,780,901,901,868,
188,166,900,235,502,687,214,826,161,343,032,999,590,031,860,427,619,582,063,
920,319,065,777,403,146,080,545,070,206,877,846,360,586,307,966,645,143,154,
736,316,877,735,137,287,315,003,104,764,707,337,676,753,817,731,992,750,900,
884,419,506,080,323,881,076,900,089,524,127,691,514,838,293,421,197,087,291,
170,574,217,636,474,872,949,951,732,087,271,549,847,044,786,958,828,255,703,
297,897,436,137,009,181,490,933,670,480,130,883,484,441,566,088,388,518,830,
585,626,525,633,903,987,999,603,347,006,488,662,613,133,444,021,724,455,662,
155,772,870,630,539,879,283,859,778,120,878,814,979,599,506,625,636,155,810,
257,395,979,547,431,072,736,934,560,432,209,201,725,334,308,550,273,511,078,
766,768,014,682,983,212,715,247,152,336,757,762,292,679,628,318,989,884,943,
201,925,367,004,642,711,215,618,042,392,738,958,857,037,457,300,877,283,424,
457,308,861,894,169,798,349,748,648,416,650,150,544,538,123,429,251,553,731,
593,562,335,597,359,366,497,548,316,898,609,776,607,579,559,974,660,181,512,
104,874,967,219,730,868,424,514,309,182,226,725,383,052,899,026,383,603,038,
787,905,756,882,531,320,265,809,820,829,305,001,263,184,843,964,544,402,175,
242,815,351,002,436,264,396,559,498,718,290,923,171,896,986,933,010,215,008,
671,277,753,464,102,581,868,923,622,884,534,763,360,779,405,983,850,393,829,
282,545,263,741,554,187,123,971,612,736,674,088,770,050,212,507,492,453,945,
519,133,177,166,576,859,505,741,869,079,681,123,771,827,369,011,290,273,989,
215,595,754,637,249,816,487,369,372,111,591,463,490,518,408,189,879,030,588,
111,351,976,910,967,685,405,423,981,527,655,068,418,928,520,359,589,791,335,
088,379,449,723,080,290,803,399,632,542,246,972,072,240,129,945,548,733,334,
242,366,090,705,720,978,372,995,460,856,390,750,962,806,685,833,192,931,260,
943,715,438,724,419,571,104,076,677,965,482,037,262,649,069,237,431,900,787,
627,201,575,634,659,324,198,730,957,029,425,312,546,463,433,793,373,934,838,
439,912,852,951,071,223,383,458,711,128,959,373,040,863,561,383,768,802,205,
855,380,740,035,048,643,396,072,930,418,765,306,357,088,265,999,403,297,339,
057,906,725,513,640,701,501,546,539,609,947,707,722,349,788,912,278,803,244,
825,512,912,157,294,067,684,302,684,946,209,359,729,546,202,356,191,647,335,
775,469,784,071,741,886,517,720,157,773,134,000,781,832,709,435,011,283,717,
065,224,760,429,534,409,464,532,020,630,941,114,712,776,348,546,453,108,661,
569,688,007,412,504,452,499,660,035,031,633,200,366,016,992,068,866,856,056,
209,193,808,027,679,782,184,851,519,050,294,797,523,808,035,081,594,220,562,
889,113,150,391,337,360,656,182,605,401,561,513,713,940,104,508,810,517,290,
060,777,334,092,531,104,251,839,501,621,312,864,308,843,306,593,679,570,891,
247,621,937,110,719,953,698,611,399,935,442,196,939,003,243,185,384,760,464,
218,906,493,508,194,037,288,254,085,205,550,941,314,690,465,649,021,792,821,
884,151,420,241,295,882,350,700,401,248,782,762,970,292,261,460,292,824,866,
360,099,904,854,177,960,782,319,493,779,057,134,242,956,857,628,723,639,800,
186,734,652,333,338,398,907,165,272,295,451,181,068,165,554,618,547,315,384,
840,185,197,884,162,551,092,513,179,796,045,077,343,056,938,027,586,906,784,
172,445,910,464,922,748,289,495,943,975,120,529,121,260,659,926,070,436,417,
364,819,066,598,475,113,478,657,673,936,830,976,986,425,861,638,075,368,207,
405,458,375,516,154,977,711,171,870,807,941,995,253,331,390,829,550,475,515,
649,263,423,038,748,734,125,660,679,879,531,829,300,147,357,134,406,606,630,
084,051,789,630,109,220,454,118,156,954,982,703,905,136,524,267,711,969,215,
071,955,200,964,644,664,700,679,103,794,879,214,644,081,385,641,873,038,629,
703,222,250,322,125,802,438,074,216,169,226,843,979,499,387,435,783,923,903,
458,093,651,249,628,834,080,071,053,448,459,087,923,816,361,579,169,412,653,
971,937,690,327,231,314,336,950,494,553,048,688,646,596,099,088,012,791,247,
686,979,153,621,497,434,996,271,950,491,690,003,925,622,929,265,738,622,136,
990,752,317,801,835,093,276,817,515,810,548,614,887,302,102,938,922,337,059,
187,630,060,830,306,307,776,637,347,555,688,373,425,081,232,346,215,987,796,
996,066,039,374,560,300,441,329,673,994,713,665,340,811,079,536,898,933,930,
165,158,938,840,929,927,391,283,502,188,525,708,982,742,404,710,519,048,010,
100,021,659,485,017,204,858,921,998,312,215,516,814,203,255,383,254,322,699,
051,050,920,567,681,118,416,451,185,067,107,533,959,569,530,542,546,927,851,
764,605,248,494,965,702,212,214,552,037,704,831,152,125,405,450,433,429,575,
085,906,338,655,852,117,103,106,802,267,359,717,652,963,219,783,702,986,432,
870,809,923,010,723,455,455,093,044,149,220,269,605,923,363,196,909,703,587,
164,014,259,551,869,453,731,464,839,194,245,902,693,522,563,668,780,596,593,
499,763,549,382,920,226,490,754,043,950,662,633,936,792,045,214,161,259,944,
580,600,325,382,741,680,135,514,122,591,972,342,924,064,955,866,726,574,791,
213,958,694,252,417,418,518,317,647,314,176,998,097,267,663,235,993,959,385,
041,501,914,388,487,087,600,305,140,695,032,053,104,510,466,109,301,893,055,
917,942,748,584,556,892,079,778,228,774,320,062,371,169,013,568,204,942,624,
423,987,925,275,934,874,505,577,481,556,373,099,484,093,207,351,360,977,543,
403,548,761,902,615,667,810,518,908,513,080,123,372,951,658,173,858,430,741,
392,222,054,259,487,974,250,682,497,954,072,022,019,611,343,510,443,316,876,
228,930,314,015,894,117,227,990,888,433,212,696,421,608,234,521,388,285,400,
933,781,530,149,496,069,303,747,699,994,212,896,744,904,493,349,643,923,327,
094,371,262,053,683,345,839,963,521,430,539,101,855,427,489,786,438,007,344,
879,975,588,329,322,346,185,317,027,130,833,348,876,856,882,743,224,703,353,
703,216,390,157,715,625,413,375,032,880,262,598,218,657,306,064,786,337,955,
625,976,821,125,437,651,887,156,653,858,591,387,612,853,715,847,339,600,035,
059,588,641,702,134,669,291,183,860,943,340,397,654,887,242,667,705,258,699,
492,033,082,209,217,879,997,256,772,033,458,833,424,164,673,217,030,412,195,
512,234,069,190,638,250,128,805,211,642,254,104,018,144,219,514,557,918,021,
789,935,988,234,068,183,233,442,271,939,752,578,234,062,093,541,492,241,655,
479,350,943,495,889,911,008,712,597,092,191,180,382,533,221,637,169,697,716,
748,027,488,135,049,184,390,315,896,643,885,903,977,315,438,167,000,719,353,
756,091,114,936,897,142,602,012,884,556,288,849,449,750,281,259,971,585,204,
143,681,451,375,440,351,900,596,924,531,763,950,175,506,323,641,728,934,716,
598,102,351,101,982,849,754,488,761,293,065,539,598,950,893,415,839,132,397,
467,473,672,053,514,308,152,289,816,862,033,223,358,255,830,480,858,265,646,
190,778,864,222,184,869,643,383,018,276,784,070,708,741,513,893,305,203,801,
581,544,685,869,103,289,447,601,624,187,489,262,962,222,738,751,187,852,629,
812,268,123,441,144,938,274,880,179,451,169,589,392,345,593,496,973,813,462,
055,049,828,404,855,110,561,463,917,849,733,572,750,056,750,318,788,279,749,
707,028,468,006,417,003,239,580,340,703,454,144,239,148,087,224,816,023,111,
094,055,903,985,293,819,878,203,023,082,241,491,460,733,867,499,617,615,876,
496,423,283,391,092,998,203,456,258,450,616,662,425,204,023,762,679,855,961,
430,540,688,398,307,916,754,693,831,246,655,388,908,138,307,288,284,450,546,
105,384,653,272,078,755,446,796,447,507,564,990,028,654,084,141,259,486,302,
204,897,970,868,215,469,417,068,283,031,672,434,047,812,890,027,591,619,383,
510,485,031,968,677,085,447,633,306,382,556,270,417,583,978,133,740,237,030,
372,384,146,434,124,684,742,989,034,209,434,610,541,143,397,038,759,065,771,
297,988,248,995,606,732,348,190,063,471,151,725,200,207,057,901,406,932,200,
630,317,504,983,447,303,368,980,905,644,593,999,724,604,616,008,641,234,508,
354,793,405,730,377,064,559,797,505,295,872,194,530,982,512,501,353,933,401,
031,660,305,987,124,198,489,044,147,400,937,651,852,421,321,885,453,370,287,
062,993,058,499,960,288,356,336,695,783,501,357,813,301,064,951,939,750,779,
320,083,845,343,028,479,905,086,330,096,088,017,225,675,861,059,164,920,850,
087,211,642,627,811,872,378,508,905,487,491,036,433,222,644,932,248,355,966,
446,228,559,791,672,364,696,517,436,676,347,886,373,628,418,264,752,574,564,
963,883,802,720,308,181,041,899,798,723,631,584,758,129,665,216,957,503,939,
758,946,040,749,556,732,569,782,038,510,021,518,865,934,310,741,837,516,572,
538,592,027,639,687,718,136,476,220,296,809,923,674,461,507,132,905,925,669,
328,275,315,291,112,081,463,432,164,587,250,976,896,721,442,896,155,423,234,
144,586,832,107,509,019,725,525,885,562,551,771,415,298,757,809,064,488,556,
939,206,105,812,890,365,191,844,717,617,877,374,566,678,018,183,772,517,187,
630,001,105,245,174,009,852,891,927,414,284,103,352,714,378,827,825,247,415,
901,916,579,831,131,903,891,247,418,137,495,332,044,730,522,849,674,670,497,
686,380,517,863,243,441,388,550,121,323,533,168,235,632,340,420,439,851,911,
081,753,440,774,768,537,719,753,334,764,251,657,705,966,491,406,760,504,700,
820,352,280,184,667,198,635,794,158,022,127,036,864,657,571,636,354,774,526,
065,130,984,394,819,818,776,727,241,167,659,884,190,443,819,327,753,435,089,
759,969,137,029,767,645,613,650,288,123,004,319,350,553,503,068,471,179,707,
187,337,818,912,242,030,583,781,132,289,931,888,432,104,963,622,292,068,373,
574,788,618,530,511,023,910,354,141,064,942,936,144,137,352,433,625,700,537,
447,116,557,369,391,930,074,852,573,406,303,324,519,443,971,284,416,096,281,
397,522,460,922,010,876,002,351,925,231,201,263,491,890,117,393,633,137,434,
417,143,327,854,064,590,973,731,782,957,046,856,129,692,737,573,634,092,558,
126,162,925,005,003,475,419,199,837,908,206,678,750,991,136,687,015,326,797,
186,927,499,382,091,388,471,794,899,815,636,400,163,308,503,618,261,093,525,
857,847,180,366,925,643,228,942,407,550,446,698,443,148,871,263,248,963,548,
606,174,980,619,370,646,501,986,833,612,933,370,146,821,238,068,313,818,712,
949,545,853,179,282,091,664,919,761,209,743,638,879,967,891,823,362,088,240,
975,726,426,217,893,552,866,570,069,056,894,940,900,869,552,964,913,595,225,
975,533,403,114,126,641,544,522,356,264,954,989,168,483,821,889,028,109,756,
419,696,997,107,195,020,466,518,232,056,242,438,593,506,597,934,180,004,260,
976,631,421,849,198,989,738,947,627,344,498,259,364,494,282,305,335,034,638,
427,942,400,109,727,601,572,850,487,743,781,733,448,545,840,447,383,835,258,
816,893,253,251,927,830,981,420,727,872,802,771,171,609,896,873,435,897,722,
873,534,973,626,037,234,344,896,677,977,572,753,747,531,885,280,213,341,880,
616,005,956,080,695,370,034,491,179,030,853,010,097,883,541,004,099,775,296,
951,520,980,809,395,600,987,524,561,332,923,523,540,902,199,846,084,062,248,
371,481,743,549,090,109,285,446,771,518,786,679,894,013,594,227,761,479,178,
269,189,936,200,826,315,234,578,600,646,766,638,501,368,267,955,204,803,596,
743,653,641,253,644,819,464,184,491,103,300,044,810,454,532,527,870,350,875,
594,036,271,770,174,859,939,944,729,182,592,563,075,562,602,651,585,918,921,
302,250,775,232,627,623,804,061,227,243,120,983,233,911,267,820,934,303,450,
530,736,672,458,217,164,631,149,203,529,168,344,482,888,161,809,383,972,101,
062,399,283,121,247,931,302,112,642,376,995,865,396,991,578,594,693,368,660,
246,685,953,830,597,107,863,834,642,884,178,040,539,472,806,031,641,054,868,
705,645,757,487,031,709,253,548,559,658,819,880,912,658,690,758,365,868,610,
138,796,909,309,694,045,323,345,928,622,165,995,390,067,082,459,505,537,569,
507,577,201,324,142,106,648,953,942,508,720,306,873,941,353,086,114,899,945,
642,729,759,950,888,694,977,381,654,909,830,888,313,213,484,238,214,505,914,
048,596,558,067,596,352,847,753,972,564,164,220,002,324,454,145,582,300,860,
999,240,217,548,051,866,785,146,822,772,645,850,673,424,254,740,558,125,405,
479,403,270,821,432,764,416,743,105,421,136,859,352,704,473,014,455,084,671,
552,054,277,565,202,840,889,582,311,608,221,709,287,964,599,430,774,686,465,
188,552,980,701,131,330,557,333,955,781,210,120,520,108,021,108,160,050,793,
260,798,383,974,588,045,233,577,072,340,639,819,991,818,920,803,705,618,715,
531,791,144,266,737,296,907,761,770,912,459,555,853,649,914,874,602,791,608,
554,710,223,083,347,115,893,186,211,059,050,158,572,169,895,506,357,265,221,
754,472,864,502,431,192,828,004,437,971,069,857,408,079,541,183,181,001,156,
305,989,083,111,825,551,511,817,885,444,154,372,206,376,637,858,778,272,824,
079,504,864,584,115,702,846,435,911,509,041,941,732,862,103,319,624,269,829,
248,843,717,903,812,289,256,732,256,332,793,250,357,655,846,868,827,126,385,
837,966,725,549,079,986,208,174,006,153,443,850,468,363,488,167,743,339,373,
856,031,168,578,081,638,388,765,611,830,964,760,708,259,875,541,810,841,843,
480,581,967,782,688,098,130,721,322,992,727,325,390,616,688,377,723,663,012,
060,066,826,115,482,924,820,842,780,258,475,550,714,773,898,870,111,044,976,
203,529,621,816,099,972,928,491,941,768,553,452,797,933,668,793,022,424,379,
725,357,334,939,972,237,317,718,862,582,298,590,283,955,409,391,896,326,029,
009,504,974,990,382,940,770,894,397,683,438,542,580,857,577,846,429,205,379,
320,532,967,041,833,459,312,132,072,689,602,712,661,067,346,523,478,157,609,
724,344,875,102,300,575,508,776,891,737,718,211,346,379,357,972,465,839,845,
090,017,132,848,225,158,035,273,209,337,352,318,763,957,438,325,028,961,294,
510,696,543,421,398,418,669,836,533,520,805,770,511,344,692,257,116,480,049,
201,364,442,803,963,110,213,208,614,007,231,781,345,382,156,242,055,392,198,
942,359,033,074,511,978,313,067,520,061,578,859,293,820,755,796,204,811,383,
613,887,406,061,597,267,274,339,685,902,974,234,494,865,382,610,968,793,292,
229,814,130,080,930,147,334,647,807,121,041,746,587,855,782,153,662,750,318,
418,243,546,351,933,309,686,657,486,963,114,895,397,028,081,955,088,677,251,
006,716,604,719,478,842,583,238,570,414,370,176,482,345,031,095,824,716,777,
892,485,199,017,237,505,761,388,399,978,981,040,501,349,345,723,890,241,110,
295,708,987,757,801,066,923,227,871,921,869,353,500,010,161,400,312,008,221,
477,311,766,675,981,262,098,633,674,865,893,211,868,312,502,914,246,189,565,
999,987,574,585,754,917,529,920,828,416,573,347,161,901,246,935,383,274,226,
803,807,890,957,375,639,361,920,422,641,466,481,663,151,760,738,370,158,038,
293,097,907,889,018,627,229,283,286,844,781,905,485,775,911,649,678,569,121,
297,802,754,441,598,999,988,381,188,466,405,360,921,735,815,675,230,498,180,
180,065,548,567,310,988,101,301,644,291,120,795,592,854,310,184,043,501,657,
981,791,329,533,062,349,930,703,298,877,894,102,076,595,065,999,188,849,196,
468,788,990,770,696,211,301,576,151,684,709,597,624,514,289,510,720,208,394,
553,721,054,929,818,488,715,189,005,931,142,213,457,191,186,877,494,661,427,
097,674,783,460,990,978,164,729,480,447,217,686,246,217,748,634,702,744,394,
299,702,334,237,329,904,195,107,778,590,723,807,977,022,446,440,958,032,241,
417,125,376,416,178,811,565,601,022,793,744,435,380,234,848,864,824,965,919,
050,314,971,062,682,127,825,980,763,747,029,609,932,466,760,713,189,939,823,
977,123,780,310,215,389,993,008,593,737,718,573,180,891,248,740,671,948,080,
390,470,310,469,290,533,222,354,918,405,950,738,769,873,461,077,908,547,530,
718,908,396,167,477,635,621,581,322,544,815,930,903,052,424,066,148,543,563,
005,910,869,459,979,496,297,795,517,747,247,881,692,939,340,870,846,860,050,
701,124,439,548,853,238,991,989,158,843,864,808,611,041,427,419,724,586,843,
751,900,492,248,386,657,458,354,684,642,425,384,820,196,841,217,144,793,776,
873,235,401,528,165,149,361,844,375,764,360,879,243,881,584,439,935,272,426,
463,009,126,196,687,708,793,792,108,294,464,167,461,558,560,671,025,931,043,
079,562,990,465,859,468,294,758,618,880,087,303,023,731,132,745,476,551,524,
430,567,125,952,892,899,068,340,480,662,466,393,913,570,973,120,064,727,825,
509,275,580,709,470,379,164,974,979,346,068,953,647,775,224,020,766,932,253,
786,781,305,669,529,627,593,069,548,189,056,314,636,187,001,841,206,646,286,
292,536,671,824,843,210,291,815,175,083,373,581,834,508,704,567,513,430,549,
528,502,952,930,886,834,279,193,872,737,203,939,311,086,204,836,115,886,168,
210,527,110,763,042,592,429,389,030,591,259,943,828,076,126,472,143,217,341,
973,062,808,697,939,263,127,269,039,709,797,282,247,575,302,500,808,132,329,
024,834,063,092,343,087,703,927,864,689,492,252,003,920,296,299,819,391,729,
774,845,431,717,962,215,363,993,531,376,400,449,520,112,410,828,307,805,716,
378,228,735,323,162,392,727,533,754,003,914,285,742,904,991,774,828,929,508,
173,604,261,074,019,880,337,169,263,526,945,687,830,924,042,664,595,674,577,
595,589,675,681,723,856,410,590,765,522,853,790,000,917,681,482,494,250,257,
598,816,209,129,312,319,106,992,030,667,401,602,383,893,734,129,633,926,219,
324,892,867,619,508,825,568,927,352,445,949,675,387,816,336,119,355,465,884,
695,511,213,193,272,932,567,138,922,376,322,143,506,364,605,064,375,610,576,
024,474,487,740,396,247,019,391,071,881,040,393,700,625,683,671,215,111,351,
627,716,283,664,282,127,549,890,374,618,365,363,996,770,610,096,443,095,300,
667,407,361,198,546,820,075,906,092,264,794,126,284,541,123,569,820,495,410,
472,124,602,270,318,823,495,482,655,247,934,914,124,701,454,960,550,673,757,
985,848,984,851,563,814,221,763,582,905,258,527,713,278,498,691,703,617,904,
955,924,597,888,002,355,647,507,814,475,919,698,176,711,707,904,975,364,453,
402,345,975,506,394,278,918,159,804,224,931,072,539,428,912,716,474,817,502,
873,667,164,688,514,647,265,454,647,801,374,311,993,020,658,698,669,720,989,
195,608,270,540,740,706,493,494,755,996,709,385,708,935,918,747,966,878,198,
241,465,838,429,568,876,883,420,163,198,853,797,687,900,506,284,405,153,726,
715,542,884,194,115,836,635,344,717,190,184,507,040,089,350,960,546,210,062,
422,993,976,391,056,060,327,450,657,318,621,774,988,604,809,976,211,986,516,
547,774,595,399,900,866,299,958,764,304,269,118,100,594,064,028,908,977,543,
632,483,576,865,292,411,109,431,180,484,073,203,916,690,412,404,616,056,665,
590,048,271,569,723,677,521,183,795,854,548,985,486,939,244,533,546,477,410,
743,089,617,881,355,772,461,904,741,279,282,438,849,424,567,882,989,165,467,
584,263,033,872,433,990,769,085,112,916,087,164,508,818,378,953,935,192,025,
131,624,967,222,583,238,595,515,172,490,550,266,597,428,535,486,668,667,085,
055,550,989,703,121,607,846,231,418,707,032,273,564,853,774,782,280,123,315,
399,958,320,385,211,304,158,992,296,323,886,833,556,955,660,852,029,119,437,
042,183,042,858,175,658,004,664,000,851,830,215,959,091,119,224,569,629,801,
583,716,917,957,051,427,476,657,058,723,881,883,576,480,344,516,761,438,607,
803,809,352,044,118,232,273,182,648,215,265,970,937,857,220,141,771,310,178,
731,752,040,380,360,858,161,990,060,777,653,799,947,708,444,579,989,700,375,
488,101,431,273,234,441,224,394,788,715,424,542,838,698,607,934,753,460,729,
202,758,315,152,212,695,101,283,600,820,751,455,355,031,021,343,701,635,087,
570,722,448,055,140,150,954,148,551,822,201,530,323,816,548,672,054,860,629,
585,275,880,629,542,078,652,474,631,048,765,126,871,922,863,578,253,951,986,
885,596,576,004,151,468,631,952,175,636,332,948,321,041,118,227,156,047,326,
026,285,380,072,818,687,584,362,920,801,907,958,466,381,160,531,822,376,922,
009,107,229,345,770,019,089,020,378,470,408,221,823,255,619,422,897,762,652,
818,043,245,073,309,820,436,771,080,058,028,494,565,233,096,151,707,603,962,
778,791,875,076,427,759,290,717,925,644,096,161,766,726,330,828,850,482,128,
563,933,525,438,000,109,644,872,260,836,976,888,294,876,662,328,908,441,955,
317,485,412,422,254,034,123,105,362,953,865,360,024,525,131,007,286,270,555,
796,945,214,957,401,514,621,504,138,043,995,947,526,141,663,276,535,648,423,
186,400,324,494,898,937,814,204,566,885,354,949,666,239,251,356,705,688,264,
501,317,559,679,086,780,034,026,015,529,271,769,217,877,872,165,682,886,447,
640,778,138,679,690,618,719,442,591,885,033,167,075,854,778,681,771,369,709,
555,865,926,434,663,694,903,443,741,547,282,428,445,846,139,915,243,077,355,
024,260,006,049,709,467,206,922,236,694,741,405,171,579,154,658,382,362,438,
769,201,554,978,287,195,151,276,600,852,519,887,814,500,020,278,135,031,651,
526,615,756,513,824,590,291,340,897,260,640,990,006,807,264,465,284,252,860,
107,018,622,236,015,796,321,043,757,640,714,013,739,148,702,476,749,666,390,
828,242,794,280,383,369,308,862,574,823,487,832,210,074,355,508,901,697,352,
895,906,150,547,842,725,766,289,018,372,179,914,657,369,684,890,016,955,421,
982,582,111,077,934,585,398,650,927,109,152,639,845,368,943,092,204,441,603,
152,124,444,128,168,934,857,201,518,512,712,772,195,425,873,760,513,495,925,
263,783,719,053,821,741,039,070,955,532,356,243,384,783,396,581,427,258,639,
651,092,520,874,183,763,643,206,627,016,586,554,406,850,814,893,647,231,463,
264,742,091,258,819,544,499,132,868,123,650,289,628,357,250,438,612,558,510,
106,894,201,069,212,612,464,849,775,521,358,550,507,891,490,142,857,964,740,
955,414,818,939,463,495,055,091,905,803,021,306,134,968,279,655,025,539,970,
437,156,685,700,680,942,395,294,508,675,147,832,644,662,966,215,756,532,931,
521,929,759,024,435,941,890,997,218,273,961,591,984,930,776,123,896,640,251,
080,510,672,376,962,370,353,687,708,907,867,579,497,566,509,744,142,903,931,
111,962,158,270,744,741,366,803,033,147,661,819,918,489,418,720,568,419,282,
617,338,102,825,982,019,291,268,032,941,898,610,818,619,159,751,038,071,047,
031,491,251,963,981,811,082,236,290,829,805,402,976,461,663,032,621,521,349,
513,677,584,549,564,094,986,773,953,402,643,995,315,231,243,467,405,176,079,
270,955,863,058,791,659,549,967,876,054,771,096,013,088,655,535,620,471,388,
655,408,875,889,874,940,097,972,707,833,793,126,580,530,500,059,065,852,903,
155,731,814,478,465,174,168,863,374,826,045,755,806,585,664,991,560,605,176,
770,506,325,383,931,681,495,426,072,798,270,171,327,806,193,485,417,967,229,
433,131,747,172,158,502,864,497,933,677,942,146,315,579,361,887,382,681,932,
742,552,901,926,513,146,907,042,240,928,848,124,909,769,133,754,610,981,982,
308,439,207,040,955,604,216,785,231,496,550,878,856,325,954,546,893,588,548,
839,039,922,673,551,116,629,270,232,172,082,438,759,926,031,346,120,595,598,
904,617,959,501,419,978,712,524,575,401,283,231,834,948,007,627,994,755,798,
640,313,405,055,097,684,918,324,733,102,888,477,743,296,626,586,699,245,237,
748,167,296,613,960,443,867,216,048,407,686,381,988,799,069,501,367,162,836,
216,793,640,884,848,402,146,453,557,066,724,326,405,125,350,911,054,335,353,
755,876,789,513,903,902,105,909,348,937,932,464,039,159,885,988,581,757,583,
375,389,798,128,386,414,176,046,559,217,592,502,821,167,048,662,572,818,036,
487,876,580,633,176,681,494,270,143,020,123,764,119,250,704,883,913,856,099,
822,604,310,714,206,873,726,926,622,537,089,795,154,844,079,632,816,529,097,
143,507,539,951,103,725,392,827,271,616,782,043,939,887,031,340,361,386,077,
835,359,673,259,582,596,932,005,393,864,738,967,291,912,735,265,492,864,477,
904,414,615,701,891,618,269,439,898,737,851,578,998,693,427,819,213,760,362,
809,178,241,694,673,848,942,935,387,530,002,674,759,513,073,511,733,061,342,
360,366,368,078,335,434,307,890,825,630,197,019,292,791,551,617,280,578,593,
833,171,410,780,300,182,558,544,814,431,382,691,104,572,862,102,200,549,673,
163,304,402,834,292,503,854,052,298,295,972,143,134,991,907,742,535,689,210,
083,703,240,465,214,337,498,684,761,614,960,673,688,575,147,286,935,737,845,
388,604,845,917,505,972,892,649,836,897,903,969,788,447,234,663,458,137,912,
891,610,529,568,519,983,142,145,005,408,572,424,620,824,752,380,285,648,529,
896,137,632,151,598,134,956,917,365,370,899,143,682,045,596,087,316,998,131,
764,152,995,105,845,769,171,560,867,191,848,214,848,499,547,603,906,544,898,
879,022,248,545,188,905,600,526,800,621,489,281,680,584,028,985,503,913,882,
701,828,999,005,538,008,259,025,525,154,541,841,868,009,029,061,827,322,144,
788,457,069,071,880,480,043,175,954,205,424,749,669,531,381,546,674,582,686,
269,017,020,718,018,165,940,044,617,825,185,308,487,892,627,874,495,515,123,
503,580,866,343,086,418,622,667,886,723,064,173,596,155,872,747,098,738,173,
842,799,729,373,891,023,544,037,653,695,245,267,114,912,789,807,644,541,260,
362,517,060,304,861,981,552,960,258,842,924,214,175,092,041,065,634,132,113,
854,927,866,751,436,843,587,075,374,799,690,321,679,576,999,294,305,741,949,
765,060,424,456,996,696,885,254,629,708,945,728,667,842,673,836,827,224,011,
649,382,743,811,479,707,315,625,810,402,001,528,770,470,539,470,896,633,479,
909,239,369,992,579,374,817,220,898,560,932,721,875,969,164,343,484,062,188,
905,985,903,283,454,167,132,917,793,441,876,856,730,000,905,406,180,700,631,
675,662,432,442,709,495,292,352,490,430,710,085,639,089,967,094,089,546,574,
715,060,590,293,628,887,472,742,088,803,138,279,227,544,751,355,225,037,119,
674,661,560,564,879,208,499,508,830,987,044,397,863,674,642,922,655,268,360,
151,718,606,752,266,593,091,157,973,690,933,108,616,903,636,149,207,319,979,
474,006,335,313,343,222,124,228,666,155,060,678,598,941,950,031,843,644,343,
057,802,725,276,137,883,670,961,042,021,597,812,189,427,477,099,889,131,974,
672,257,242,234,218,523,302,514,884,968,443,629,732,729,817,184,376,222,507,
084,297,286,167,301,835,303,559,745,276,098,224,705,229,286,998,127,317,679,
123,301,163,730,884,635,817,665,607,887,772,496,742,280,258,108,312,027,350,
624,455,655,092,244,719,018,912,979,318,317,305,658,244,796,621,058,979,905,
761,870,404,416,431,202,644,961,983,506,788,821,915,239,592,968,163,191,660,
545,565,115,486,395,311,550,549,046,839,830,909,161,039,058,037,220,088,139,
029,404,643,350,559,735,937,911,909,073,336,513,707,861,720,887,174,039,810,
645,068,283,968,277,409,146,122,847,303,955,772,027,803,623,838,155,687,601,
937,102,126,934,572,867,780,112,010,601,466,224,834,910,522,992,802,457,248,
900,308,521,349,367,262,814,256,267,618,129,647,106,544,068,753,352,454,564,
562,212,790,188,931,537,179,965,842,566,111,520,607,120,564,822,807,549,216,
047,045,165,162,533,537,502,292,117,235,846,397,612,135,455,039,523,048,684,
489,499,113,211,725,100,155,901,188,286,401,571,938,264,192,395,478,418,348,
403,333,908,872,652,010,343,328,907,971,686,124,668,544,732,270,384,558,256,
912,964,330,364,458,224,769,097,070,217,665,738,834,202,617,963,319,175,919,
102,386,860,107,307,993,279,982,625,575,994,206,825,031,881,020,956,023,824,
400,230,837,784,971,811,506,135,014,410,048,885,856,963,603,873,440,883,704,
054,649,211,257,189,110,280,054,738,482,397,698,798,177,359,693,254,088,302,
670,187,534,764,963,366,066,737,191,385,261,383,136,560,538,033,275,238,671,
005,435,976,420,050,875,362,392,698,402,791,310,920,030,415,433,843,707,147,
860,357,210,638,802,302,488,740,701,955,561,784,143,586,992,696,802,494,490,
598,937,726,312,878,383,395,689,744,236,681,700,943,319,114,222,396,121,138,
753,669,073,692,778,838,736,538,492,765,116,998,429,974,703,357,994,617,636,
371,077,952,546,590,329,438,020,862,212,850,536,554,595,744,698,154,968,703,
252,030,744,846,734,302,375,976,122,830,771,741,306,507,932,766,128,956,765,
060,977,112,013,419,484,384,154,288,242,805,030,307,988,070,482,386,917,273,
992,794,095,632,483,665,451,251,163,528,578,073,541,176,843,006,867,363,420,
339,453,682,226,016,904,889,557,531,259,934,437,544,307,772,421,370,551,266,
051,276,878,483,774,785,662,766,611,010,195,029,131,583,171,551,114,993,195,
952,699,549,282,373,618,769,150,525,998,506,046,136,535,945,180,667,035,910,
160,479,967,468,252,698,652,399,565,255,796,751,179,806,461,362,993,482,860,
260,998,122,558,720,788,283,100,628,587,086,351,881,943,496,715,842,049,425,
399,164,740,356,900,569,274,155,023,628,982,740,070,677,957,074,825,051,064,
341,030,069,730,950,683,121,041,451,951,801,989,084,833,697,539,612,616,892,
870,021,490,668,735,913,873,352,211,617,515,382,126,537,253,520,485,177,253,
782,573,858,658,225,313,922,121,466,695,550,937,678,319,817,336,686,126,133,
881,568,309,072,776,224,277,900,958,481,284,642,624,867,290,240,925,613,537,
006,522,777,658,007,302,223,019,790,745,177,887,360,549,192,292,138,325,849,
339,276,157,151,961,478,256,350,922,187,372,718,546,229,247,517,821,151,044,
584,459,439,479,920,413,623,038,227,145,858,922,527,553,473,599,039,685,211,
524,217,705,386,007,725,336,934,812,917,569,716,082,874,463,884,270,390,150,
247,186,476,629,860,592,813,222,443,312,008,440,238,039,298,401,025,808,294,
845,072,852,173,557,118,691,176,052,740,592,770,841,379,636,506,731,798,483,
303,421,875,914,254,792,099,839,181,898,329,290,076,511,163,691,746,568,875,
514,084,626,229,555,296,127,808,082,564,362,373,228,249,851,861,564,716,981,
281,273,588,005,795,370,202,337,104,210,502,954,447,477,493,227,765,694,983,
830,887,882,356,553,473,918,844,660,573,482,578,360,167,420,138,198,781,527,
684,368,619,126,818,419,957,326,698,496,612,087,113,195,271,495,645,862,298,
909,474,275,554,077,055,386,845,010,817,704,656,286,444,977,532,624,541,187,
295,745,337,690,704,644,574,817,133,471,127,074,034,870,680,767,033,819,125,
688,165,265,894,770,530,364,112,971,922,813,578,834,564,108,380,904,726,578,
155,451,669,602,348,899,400,358,419,560,577,469,043,354,695,904,844,733,059,
799,064,161,673,221,261,345,975,859,965,653,306,137,542,847,439,076,899,045,
920,870,757,639,451,734,726,361,620,988,072,886,742,520,859,052,102,728,837,
632,436,757,771,408,227,739,938,612,229,864,632,709,399,649,425,451,855,350,
676,337,595,125,495,969,661,633,125,604,954,822,050,764,147,081,739,976,003,
013,945,639,210,557,554,384,105,247,924,538,013,145,137,820,017,344,122,301,
715,077,619,375,406,262,088,222,840,998,087,136,957,829,736,949,437,217,705,
850,876,672,600,092,561,411,495,217,489,423,482,358,473,038,526,117,552,790,
329,478,144,458,528,959,910,137,798,205,381,605,497,548,370,653,333,336,906,
772,397,135,398,268,671,962,460,734,180,492,384,031,408,876,773,608,105,354,
742,259,042,267,839,973,444,158,529,843,474,093,284,548,978,118,651,717,027,
294,254,372,532,191,892,783,165,981,456,323,871,358,801,993,644,537,413,112,
164,825,297,395,772,709,748,109,915,891,653,135,960,904,854,358,788,754,601,
347,831,511,328,829,834,089,982,205,064,560,620,782,446,276,486,962,193,265,
404,925,350,476,934,332,986,669,350,798,771,472,686,120,196,132,472,472,798,
505,376,239,404,295,881,793,741,573,404,431,553,754,245,975,280,990,566,892,
751,219,838,801,509,744,994,870,008,232,503,123,245,228,092,232,489,000,468,
821,060,727,949,608,826,015,517,043,804,588,514,587,290,933,191,563,458,743,
115,170,468,172,330,430,232,818,339,213,619,681,887,946,450,544,168,387,112,
587,905,444,872,116,739,300,551,086,935,508,444,764,993,512,231,029,326,651,
075,236,525,242,606,704,626,823,502,531,429,184,636,828,767,908,299,574,578,
205,149,303,415,113,986,441,794,077,828,672,789,318,853,367,191,307,031,153,
071,880,067,138,827,169,404,967,707,889,507,266,938,588,145,912,489,152,951,
985,274,187,333,890,608,152,635,270,166,015,965,276,134,236,004,295,576,331,
109,529,448,667,414,054,066,621,720,248,964,993,409,437,427,910,418,567,416,
431,564,035,343,366,476,570,263,037,657,656,591,209,285,085,869,368,363,357,
086,456,262,681,613,029,302,113,720,093,679,452,926,792,899,791,276,901,536,
977,093,717,867,342,644,345,223,855,543,439,743,913,144,286,283,258,473,435,
842,363,251,169,528,513,041,147,083,482,125,393,933,539,753,328,171,559,543,
266,726,917,161,160,038,514,176,889,717,592,901,887,347,248,406,982,826,329,
620,806,486,580,113,418,683,152,220,249,782,458,996,324,079,583,251,536,212,
215,622,114,424,143,965,209,528,411,969,661,792,336,924,316,565,256,639,969,
941,489,705,500,301,274,009,216,984,501,247,749,062,593,118,802,445,208,384,
176,703,753,468,015,850,570,687,989,855,890,847,550,325,871,042,934,164,172,
610,401,788,142,891,160,348,648,867,354,449,630,257,570,533,411,792,776,177,
609,640,052,676,892,611,457,699,288,470,334,045,603,078,263,480,132,852,058,
132,257,852,654,541,274,758,655,330,544,615,371,428,640,430,365,421,211,049,
598,211,991,088,722,557,789,774,569,432,126,209,865,114,410,394,372,609,455,
503,692,215,210,322,968,491,388,182,059,867,279,350,250,622,133,410,365,212,
226,699,522,160,885,511,570,854,106,865,852,400,667,609,878,246,554,381,493,
040,058,137,323,275,179,503,646,478,592,549,013,204,174,871,097,089,283,135,
557,865,374,774,123,689,609,385,728,892,481,396,050,380,560,933,080,132,479,
358,749,287,533,674,686,301,464,500,172,540,746,814,090,855,432,887,011,827,
889,485,495,700,357,882,607,507,545,128,497,784,890,376,796,679,551,576,296,
423,313,355,821,560,516,951,904,377,107,312,483,283,272,720,279,172,699,602,
200,358,746,197,532,290,041,754,324,963,908,679,783,447,762,813,534,823,160,
205,030,555,474,252,269,878,305,550,364,270,602,519,706,002,847,131,699,067,
865,512,648,072,438,462,996,442,786,286,928,547,578,743,125,687,769,943,005,
749,369,449,613,210,070,406,370,651,327,004,666,769,857,263,637,709,723,225,
508,749,968,521,879,469,577,832,986,099,290,941,617,012,966,744,077,274,535,
951,015,286,486,670,691,652,629,704,392,941,277,210,377,004,058,739,319,326,
431,984,929,190,241,805,216,147,925,293,694,927,607,155,531,992,412,829,090,
184,081,483,644,696,773,483,232,541,148,537,862,363,131,485,902,834,547,189,
969,110,131,565,803,859,290,578,113,931,941,330,258,857,766,060,333,215,490,
664,702,105,421,489,942,859,072,444,963,086,695,638,716,705,996,777,390,338,
404,886,387,877,964,256,795,399,187,363,093,051,090,375,959,993,572,152,309,
905,934,729,797,484,467,952,558,819,704,517,589,333,551,399,794,018,329,751,
759,317,066,879,016,648,614,764,736,302,983,367,259,341,912,070,889,872,885,
659,023,019,637,599,092,607,490,042,384,450,632,110,706,963,694,005,707,385,
773,941,237,679,625,628,224,625,568,305,128,257,088,842,250,415,258,140,998,
671,486,826,239,614,928,988,782,868,042,569,211,017,378,351,671,112,766,353,
676,374,900,922,317,978,965,062,828,937,221,359,764,962,796,551,827,887,175,
193,579,806,388,456,825,081,397,056,179,123,486,151,334,862,499,926,094,387,
570,461,756,205,781,018,535,913,220,086,381,219,516,587,495,710,126,142,129,
001,269,112,729,237,246,642,704,120,620,559,504,688,417,366,273,041,448,829,
056,959,171,873,134,807,161,229,154,754,990,289,040,450,803,402,316,218,672,
679,800,845,243,115,771,897,005,881,444,191,171,419,311,161,080,140,377,953,
809,501,581,244,040,040,764,263,947,586,144,587,933,499,087,250,259,259,900,
408,861,813,886,458,755,895,945,108,550,293,610,204,605,418,712,467,655,287,
602,778,082,889,020,056,898,930,921,893,209,498,414,172,357,009,630,204,624,
829,691,462,617,223,775,604,836,051,505,643,287,210,793,841,138,302,487,183,
555,726,267,531,890,943,646,473,049,617,026,724,084,120,441,917,048,580,988,
532,426,904,077,992,340,123,598,144,287,536,782,970,534,153,445,335,830,950,
277,960,561,075,994,515,239,386,775,880,973,687,913,353,766,402,017,831,134,
435,963,093,972,392,251,424,692,447,999,095,437,989,109,842,078,920,186,683,
997,190,874,926,340,849,165,829,940,483,848,775,682,128,058,735,253,730,377,
056,255,846,329,828,919,169,293,087,113,565,309,496,477,047,362,044,333,983,
942,047,083,898,761,615,501,041,638,605,122,827,393,338,547,960,049,459,948,
000,456,108,436,738,751,078,283,522,677,482,799,459,243,877,359,170,389,650,
808,450,411,475,753,803,335,901,272,298,338,365,556,713,555,852,711,763,304,
379,190,284,793,538,411,686,614,795,227,838,482,549,331,188,753,679,148,234,
459,921,087,300,765,804,311,433,383,813,412,238,086,226,096,269,307,248,480,
655,502,222,749,570,235,954,766,792,711,589,210,253,915,649,894,828,798,360,
832,588,036,307,727,495,228,863,911,389,684,144,351,123,856,291,872,892,260,
156,914,312,040,846,128,225,150,523,968,225,522,990,933,586,708,068,121,300,
560,191,643,331,259,089,638,704,539,249,041,651,192,614,932,152,924,015,257,
384,838,292,760,774,795,783,227,327,470,462,865,604,952,134,256,731,119,385,
270,185,418,169,461,560,893,690,043,871,501,349,820,801,287,338,847,178,045,
383,089,109,337,769,484,152,474,968,067,815,792,783,254,335,636,654,308,838,
967,006,016,064,441,799,750,628,507,680,580,209,747,470,722,039,353,611,164,
577,889,739,630,750,577,629,504,711,597,114,001,305,378,283,910,246,836,679,
410,956,580,365,582,344,629,199,961,129,069,826,854,354,992,315,207,969,420,
716,672,278,020,345,407,277,289,877,781,295,810,455,740,281,930,577,759,444,
344,441,012,131,488,229,841,220,304,881,438,264,006,104,694,140,409,703,902,
184,050,458,036,270,372,259,393,578,759,298,845,580,925,968,435,446,610,088,
256,496,788,979,632,422,140,722,550,186,488,543,756,834,964,226,212,865,048,
240,800,195,324,150,802,335,465,357,988,394,065,983,827,277,499,153,947,437,
248,189,639,829,593,229,365,281,711,649,255,240,230,153,103,227,734,929,102,
052,857,194,326,709,173,791,292,758,136,391,557,111,138,921,542,492,781,997,
486,054,780,982,571,612,729,397,252,691,130,413,800,618,054,615,136,109,953,
876,516,635,373,375,764,058,268,972,336,059,127,693,495,562,943,815,016,666,
045,861,805,819,161,099,060,757,223,405,891,041,672,342,999,156,127,762,096,
830,247,175,178,252,674,678,716,620,420,696,725,528,454,504,124,832,270,112,
707,116,591,744,463,491,045,957,299,745,658,428,465,574,137,240,194,742,868,
908,805,701,190,070,587,596,207,921,313,427,532,270,647,167,907,191,908,083,
437,608,351,124,245,441,259,255,876,482,410,801,089,473,517,693,636,379,787,
744,233,359,011,592,265,935,357,463,492,849,371,710,633,753,308,556,576,539,
915,137,721,899,174,333,118,605,396,280,098,965,253,182,323,657,939,990,474,
096,576,744,868,093,454,601,430,008,880,495,928,387,622,039,327,236,828,278,
257,861,350,177,973,433,688,985,604,024,345,983,424,944,940,647,313,011,314,
730,503,634,184,513,337,904,548,317,403,139,682,065,832,569,685,272,241,255,
296,402,448,002,054,016,716,511,826,864,465,764,175,037,366,893,298,636,556,
943,320,262,681,539,411,342,057,026,607,867,142,089,371,308,982,050,276,906,
855,856,166,449,435,550,627,999,812,396,192,700,483,248,793,246,370,977,770,
575,877,741,838,402,672,355,748,368,108,091,459,491,161,128,888,094,340,019,
690,143,709,833,434,534,172,405,076,567,014,127,864,435,719,188,976,262,131,
009,735,483,433,983,574,843,391,722,267,336,986,805,564,173,352,478,589,938,
481,537,944,582,464,682,837,879,414,402,626,502,388,241,397,238,291,580,896,
430,133,140,320,614,392,239,380,640,332,928,848,162,650,853,774,187,215,490,
858,753,352,646,530,996,151,638,529,964,468,588,609,453,168,165,874,220,187,
522,007,959,860,363,240,615,273,781,284,791,414,928,676,435,583,735,947,612,
937,531,852,219,001,571,368,207,660,356,481,383,273,101,000,382,597,228,784,
609,948,073,324,906,754,915,623,130,317,420,131,569,315,545,250,667,088,320,
537,973,827,873,361,314,673,824,434,150,179,729,390,127,900,734,226,304,150,
077,864,277,777,220,403,780,443,066,714,153,200,714,348,403,389,458,713,621,
145,378,747,037,925,354,984,209,527,506,384,100,932,820,936,885,428,713,841,
930,605,325,186,422,334,831,017,495,116,095,413,440,412,559,608,231,173,929,
689,723,513,775,629,834,974,764,245,122,222,938,108,749,620,832,990,786,142,
299,642,645,369,205,260,440,449,128,148,957,334,664,387,560,386,556,515,584,
836,079,945,587,291,542,019,424,352,545,634,094,720,770,052,137,930,815,729,
503,123,467,373,693,713,715,649,457,285,752,661,756,618,033,788,208,307,503,
549,451,320,656,885,168,459,460,002,406,187,603,440,190,406,838,922,560,376,
790,379,857,309,510,626,646,654,451,084,338,347,684,655,888,174,466,126,127,
050,956,383,177,514,027,270,058,151,339,974,234,235,645,613,885,977,664,563,
922,493,896,151,066,642,179,240,679,186,816,520,160,945,766,195,938,888,114,
973,141,016,359,199,430,245,676,390,871,857,439,730,381,547,439,495,019,463,
993,659,310,850,462,683,490,215,827,428,272,093,057,171,060,325,518,761,520,
986,619,377,935,722,075,265,116,429,153,893,126,708,753,194,654,580,855,370,
117,621,256,623,593,544,732,458,233,011,273,544,865,265,906,862,928,072,035,
653,144,748,807,425,506,867,251,716,637,473,787,319,910,846,453,903,556,915,
945,944,371,019,997,381,425,220,598,120,767,711,149,727,494,614,090,388,522,
843,603,666,191,343,087,126,318,347,556,380,198,598,876,769,027,466,291,569,
455,813,687,887,883,842,826,626,098,433,118,610,787,609,328,559,098,579,042,
817,321,361,901,448,745,433,186,839,976,996,511,448,552,853,623,562,263,141,
156,433,825,566,165,037,021,860,824,134,970,819,280,989,472,266,488,381,543,
220,613,658,436,882,208,264,753,981,638,002,641,049,181,373,478,079,680,422,
980,915,665,476,219,073,783,617,483,010,924,405,273,415,636,455,934,878,187,
283,436,446,319,015,742,624,633,995,707,563,216,788,258,885,614,967,694,837,
857,557,723,013,138,153,699,492,493,844,696,149,895,273,252,947,061,613,290,
763,669,865,518,701,942,773,417,972,465,711,387,321,245,100,754,858,169,149,
908,136,162,017,954,372,495,144,196,983,112,430,218,380,615,146,687,953,793,
544,491,505,413,056,868,381,732,947,483,406,729,346,417,640,640,041,134,408,
578,387,471,845,316,306,425,481,285,167,217,363,949,452,938,313,274,546,099,
098,708,699,449,713,876,467,797,802,212,030,902,329,735,302,343,846,039,073,
341,480,069,333,606,567,428,382,260,406,352,544,436,137,586,690,976,389,376,
085,753,174,159,938,913,415,630,362,016,084,272,263,246,714,997,359,267,633,
508,623,038,850,243,763,243,882,265,590,066,185,031,050,491,126,100,972,954,
780,554,059,897,283,500,057,180,194,545,906,431,934,538,044,744,187,875,848,
420,006,148,870,761,118,926,060,923,413,407,323,581,413,283,423,118,879,774,
008,965,203,991,221,744,518,162,843,777,809,811,968,693,964,863,514,635,236,
183,386,416,586,016,008,044,621,958,280,859,237,173,692,596,449,702,547,803,
530,366,997,645,496,078,241,833,378,982,316,876,784,713,673,692,659,229,010,
314,660,803,871,321,992,044,441,886,577,196,509,397,093,817,033,152,701,827,
339,329,163,662,351,754,361,605,134,045,031,890,806,270,554,746,875,221,158,
315,456,204,474,436,047,671,040,077,090,346,639,801,300,697,602,825,149,635,
677,012,094,485,846,920,072,842,877,018,894,745,761,154,178,030,382,016,854,
550,501,168,559,523,382,048,032,194,572,214,316,551,850,464,500,503,185,867,
390,263,958,271,661,644,599,409,293,427,569,054,747,914,768,097,294,830,468,
940,418,908,355,483,411,198,900,430,592,233,897,625,387,596,806,039,382,960,
528,701,482,324,260,047,761,648,560,522,550,422,351,060,142,374,316,431,566,
622,483,205,327,304,048,107,925,795,364,387,286,007,840,960,251,795,479,532,
203,879,614,065,166,340,143,009,582,131,808,142,046,558,736,494,094,573,401,
471,971,420,114,406,844,422,797,586,370,292,714,362,054,320,291,951,568,914,
907,493,698,784,756,627,656,714,618,216,827,505,586,668,133,452,685,005,949,
917,181,633,458,571,364,725,218,599,629,954,980,279,833,363,392,221,455,574,
051,085,455,499,255,485,909,517,239,091,180,659,109,966,788,161,889,466,522,
365,268,941,270,880,124,029,551,954,449,812,190,395,133,366,304,985,481,885,
224,924,184,941,483,824,487,874,810,268,447,739,051,687,404,037,492,258,294,
799,172,937,235,848,562,976,580,495,142,567,100,939,065,224,030,196,597,940,
519,831,324,468,314,416,203,422,653,512,949,848,219,412,449,819,960,037,292,
751,541,815,666,152,258,146,950,021,985,658,233,889,566,402,209,349,018,894,
621,912,949,716,639,646,299,715,648,015,990,741,799,031,269,928,888,198,235,
389,270,496,876,171,199,796,511,584,961,503,658,759,577,379,886,424,699,613,
717,963,856,637,174,426,040,696,743,225,600,000,437,904,387,910,731,646,292,
514,105,337,994,541,700,656,481,049,916,893,034,550,461,419,947,830,994,748,
863,001,271,885,996,721,655,892,656,324,897,923,563,730,103,884,568,783,746,
150,987,234,656,555,890,927,860,861,055,370,098,021,710,763,900,399,803,143,
849,933,170,417,446,821,878,456,605,849,934,693,339,896,513,256,651,324,000,
555,088,743,894,754,036,591,040,236,491,700,665,983,621,895,157,564,946,554,
008,551,953,704,856,937,500,429,824,759,391,330,973,584,249,093,942,809,292,
191,599,233,637,490,934,092,912,808,128,337,866,938,811,970,592,595,299,396,
633,129,332,747,057,198,264,814,018,839,027,800,953,899,818,840,462,863,415,
905,253,103,184,043,450,300,135,109,998,001,970,862,904,696,655,151,866,807,
780,783,462,532,364,524,351,191,820,825,765,836,260,302,403,344,993,175,056,
317,151,066,708,721,710,634,089,551,845,038,530,580,692,549,790,602,579,609,
805,225,468,721,637,962,199,125,788,734,034,378,456,379,802,213,948,518,188,
559,255,542,325,085,497,472,920,529,462,588,743,702,906,523,446,503,131,408,
390,745,869,436,558,387,100,784,465,932,523,399,069,927,677,190,071,524,991,
453,180,797,479,304,638,849,860,230,081,796,673,466,556,354,242,331,680,441,
722,303,453,946,742,097,864,173,640,076,960,344,232,274,012,902,218,862,091,
328,447,494,627,705,172,914,757,119,290,599,869,579,131,491,752,463,112,769,
533,311,450,714,509,155,988,913,914,089,112,753,010,949,567,076,646,090,032,
042,912,564,019,650,167,788,444,965,269,224,534,608,733,344,420,501,715,457,
785,250,933,713,422,052,902,282,528,954,624,068,570,717,773,722,089,492,299,
275,998,723,584,994,115,333,004,734,747,825,342,572,031,943,254,655,416,691,
642,499,699,138,476,560,127,896,340,318,999,904,704,762,190,352,025,804,282,
838,122,090,880,443,933,395,962,418,172,753,933,886,652,055,820,802,633,341,
021,036,395,945,073,434,650,247,078,173,904,455,797,279,874,809,717,024,532,
174,858,604,765,391,740,563,740,514,001,941,136,971,206,089,379,186,579,679,
559,392,241,087,817,588,264,957,205,730,403,602,607,708,469,816,627,778,529,
226,561,593,350,937,324,448,849,702,505,872,140,965,512,860,688,362,324,019,
096,345,506,406,146,783,447,588,045,221,408,549,575,684,295,690,685,619,542,
441,320,255,921,888,261,637,732,557,059,774,644,243,969,977,193,955,201,419,
092,414,465,665,084,103,955,457,354,471,856,744,914,597,867,501,687,173,131,
973,314,540,905,301,080,086,283,376,950,607,145,729,112,985,560,981,275,150,
993,016,782,357,172,609,102,254,261,466,660,504,576,196,766,317,196,949,254,
788,536,016,080,042,907,479,674,778,590,020,994,573,909,628,614,396,207,614,
819,463,243,091,248,722,667,127,558,464,631,614,357,827,960,372,759,988,436,
926,431,027,287,965,594,645,504,849,579,677,276,161,888,790,865,674,060,784,
763,827,252,375,833,029,772,867,316,456,584,044,618,039,463,087,671,386,940,
358,722,543,769,734,562,226,788,352,803,699,638,598,772,896,013,399,226,254,
995,356,983,437,300,641,469,050,267,504,923,278,536,945,273,880,905,823,011,
837,684,341,086,578,080,802,147,349,285,101,247,625,422,280,236,445,353,073,
287,715,001,346,921,745,560,347,078,239,218,967,893,177,175,702,475,349,887,
539,466,842,298,172,524,729,097,518,577,580,145,702,932,840,931,321,836,121,
391,789,132,021,681,728,983,931,095,740,610,063,240,739,993,981,361,566,709,
832,194,836,134,166,973,369,543,365,371,105,020,925,644,595,002,424,938,045,
038,025,884,402,428,835,093,852,575,809,333,687,530,939,360,280,364,530,842,
915,751,300,750,151,607,265,773,114,466,908,360,178,606,726,368,950,255,351,
769,987,845,204,932,452,535,266,437,192,124,869,307,536,386,096,204,096,931,
313,899,274,133,149,045,980,939,995,514,610,301,323,346,503,536,600,542,266,
408,021,813,366,161,021,226,478,377,853,831,308,605,404,358,108,484,571,738,
552,007,296,037,587,208,024,288,418,204,528,453,192,796,620,026,279,984,830,
390,914,096,856,937,137,107,324,234,458,385,926,953,353,005,694,945,651,070,
337,949,450,294,114,257,276,134,733,539,578,170,561,678,864,491,412,544,544,
339,559,310,996,742,252,275,340,668,636,709,356,010,383,054,030,547,392,114,
551,114,415,131,967,873,540,853,503,543,612,251,675,562,075,923,826,868,404,
695,487,838,013,720,023,974,685,562,919,159,825,273,276,483,333,402,012,409,
740,870,148,318,280,377,963,976,654,858,103,033,791,759,996,849,349,730,245,
517,761,612,708,819,022,722,050,310,329,083,619,732,884,688,100,420,962,175,
207,565,682,224,530,777,283,676,321,411,567,132,000,033,863,008,034,097,103,
855,699,146,428,350,391,438,213,693,749,001,683,504,737,022,857,795,742,032,
611,953,087,439,651,044,570,841,245,208,792,471,647,269,503,647,585,025,923,
835,522,493,150,746,750,517,446,566,886,390,208,638,783,119,916,321,277,628,
704,275,434,354,912,389,772,258,002,515,168,877,061,957,335,844,486,910,122,
890,024,957,245,300,358,750,178,173,677,363,486,433,740,750,715,489,857,054,
640,235,350,488,027,010,274,241,549,675,163,962,288,980,636,116,208,287,453,
549,082,260,964,640,456,310,154,266,537,941,626,196,174,392,978,886,290,177,
665,490,607,300,169,407,947,825,324,434,956,068,390,033,438,052,073,904,713,
585,294,596,558,614,783,612,826,907,302,574,750,581,856,925,135,364,837,255,
013,029,997,876,543,071,443,248,530,681,503,541,249,582,129,684,618,374,473,
348,587,319,917,765,752,684,289,204,908,134,145,403,865,120,251,334,068,400,
410,767,914,453,931,337,516,618,079,571,763,816,980,248,038,393,159,735,902,
379,585,006,655,504,749,213,641,326,992,019,315,513,282,273,974,157,761,912,
402,142,038,994,250,086,781,888,440,369,206,130,456,411,971,476,669,987,736,
900,564,215,893,147,537,524,089,238,662,759,119,238,928,352,435,196,597,951,
194,988,394,055,695,333,078,508,263,586,080,616,149,793,202,730,777,375,654,
547,058,639,360,606,222,947,267,595,266,368,307,089,107,703,889,957,855,775,
291,279,011,969,044,400,724,494,043,091,023,690,429,742,017,671,024,783,010,
198,378,023,805,602,178,593,641,230,405,031,586,204,510,915,180,746,610,388,
530,501,738,109,869,530,700,607,027,147,010,176,510,558,048,497,971,658,628,
919,569,727,017,293,315,697,943,302,273,190,463,616,184,686,165,362,554,826,
938,610,969,375,556,006,014,242,244,364,964,270,331,392,415,444,412,794,035,
381,255,190,433,532,027,798,999,116,061,855,714,423,511,900,029,089,308,075,
180,046,831,560,103,877,567,996,830,983,218,501,047,523,363,062,818,422,982,
606,128,452,564,284,843,615,490,837,196,300,758,453,471,546,091,541,102,265,
337,068,745,425,365,066,689,196,327,299,592,962,626,123,046,512,050,569,066,
895,507,056,094,731,857,904,080,815,475,982,116,495,684,066,370,362,729,434,
913,460,507,862,373,758,833,395,211,075,520,256,228,929,181,400,932,899,410,
999,454,331,618,482,538,334,751,630,114,572,467,909,102,658,143,477,308,363,
254,306,153,089,541,735,510,386,566,758,516,310,284,641,724,374,653,783,912,
846,996,244,429,157,903,653,578,403,903,128,625,097,439,538,855,758,099,958,
946,495,858,471,147,975,411,604,760,904,849,018,269,782,969,634,024,039,937,
057,605,382,785,965,111,665,285,252,180,833,944,114,735,743,903,723,862,605,
143,085,231,058,444,981,839,775,520,533,245,133,301,233,282,242,882,288,128,
409,373,403,081,534,158,779,546,794,802,580,672,161,667,673,625,026,433,283,
638,693,592,192,608,227,325,682,971,680,103,718,583,482,885,247,170,997,180,
909,240,814,225,031,559,544,524,862,208,920,708,931,021,421,643,545,619,218,
755,224,953,527,699,166,155,607,430,945,831,181,805,823,775,649,781,143,534,
649,617,058,174,128,513,874,789,335,338,534,552,399,119,219,490,209,171,958,
662,725,933,288,440,428,932,355,500,277,832,483,698,204,676,459,954,013,533,
419,759,230,392,017,801,662,246,726,943,571,110,985,695,951,855,696,255,683,
879,310,188,029,488,101,438,060,197,944,151,926,220,914,847,325,320,057,186,
399,794,645,887,167,506,042,161,444,937,533,099,448,922,649,906,538,649,995,
492,337,627,630,982,360,921,935,124,373,189,659,927,423,962,485,837,872,900,
020,286,490,981,284,252,779,153,613,797,430,350,469,191,673,065,287,913,698,
286,775,926,989,029,664,727,849,219,497,905,659,716,227,594,484,636,057,213,
514,137,798,575,741,660,754,380,587,231,061,689,367,397,336,895,812,290,735,
053,251,107,988,016,401,828,302,878,370,236,504,943,030,851,736,913,730,214,
907,749,964,840,747,092,113,998,963,874,801,663,970,865,865,344,754,261,219,
694,519,169,627,095,991,045,339,159,905,483,847,275,447,599,321,891,511,502,
595,013,735,632,059,985,372,877,442,500,649,429,515,297,741,273,641,519,639,
560,151,893,071,305,263,280,815,125,095,119,854,072,898,762,122,156,494,743,
558,940,734,972,327,369,160,706,248,657,966,026,185,704,019,787,675,333,471,
984,807,293,301,652,868,776,689,064,075,781,414,939,201,979,573,352,604,239,
232,934,230,041,391,841,287,997,594,371,132,606,319,409,953,176,289,104,390,
505,413,123,141,781,892,333,253,359,063,443,737,529,588,093,457,809,374,697,
240,370,977,861,661,712,285,077,739,656,231,619,652,412,135,027,398,806,900,
252,495,726,896,168,009,298,320,288,014,537,320,053,427,086,591,242,740,633,
455,748,607,455,131,950,347,072,628,954,811,322,946,989,895,394,596,935,803,
432,303,691,400,419,783,725,929,633,176,086,719,538,992,224,786,320,285,317,
981,454,730,204,186,041,892,613,957,381,739,946,728,845,019,361,104,923,406,
757,371,054,475,424,751,083,332,493,284,778,975,118,404,067,604,765,078,576,
781,796,701,387,953,754,899,132,382,627,493,073,183,504,398,440,030,816,546,
085,452,949,305,557,747,003,923,740,783,637,415,509,438,910,791,467,103,635,
693,343,343,285,847,915,377,863,445,819,290,736,536,280,444,308,941,257,179,
671,827,919,186,477,594,565,658,672,177,081,993,408,403,121,716,845,410,061,
281,144,690,447,020,032,137,486,100,508,863,728,828,510,074,135,262,669,572,
980,765,838,511,994,171,530,867,829,489,753,692,466,722,948,970,860,002,868,
851,403,663,842,103,887,241,523,584,575,768,239,292,243,633,063,076,937,049,
816,344,728,021,334,044,019,354,235,641,238,983,859,910,685,453,497,009,809,
197,034,137,382,625,858,470,506,550,793,191,852,060,714,296,510,512,907,168,
003,820,899,420,806,103,100,924,187,862,369,666,203,340,793,577,074,723,622,
211,303,432,757,024,282,949,992,259,704,366,297,389,846,995,714,665,484,440,
741,012,755,543,788,502,159,645,150,411,266,113,139,953,795,839,490,953,620,
178,381,272,799,829,983,588,424,026,014,000,808,257,618,990,097,930,922,851,
075,347,162,684,442,400,792,310,876,295,704,232,479,996,277,015,186,192,274,
283,286,222,562,541,571,001,682,481,267,894,850,572,060,431,625,142,451,990,
701,497,477,560,546,189,795,841,935,882,780,368,349,067,053,210,705,809,426,
408,984,328,244,953,821,250,520,848,635,025,871,108,185,791,998,524,812,582,
648,420,122,704,281,291,565,858,413,668,609,749,282,515,207,992,897,308,555,
354,979,691,282,380,694,640,376,488,385,902,393,642,801,382,890,625,116,179,
266,778,967,221,254,315,760,755,054,928,168,510,148,449,940,471,021,511,325,
103,742,691,355,849,104,776,033,499,036,456,538,609,129,913,348,574,127,239,
728,940,424,718,221,287,226,029,598,921,370,074,019,427,797,390,064,813,329,
418,180,825,099,673,021,604,889,281,898,744,222,335,526,813,830,029,230,502,
026,831,682,098,032,049,113,548,999,170,486,190,177,794,385,223,710,506,026,
453,877,120,114,079,698,329,757,793,596,277,016,585,772,520,109,976,577,882,
478,715,398,745,538,662,297,011,822,076,802,004,990,066,293,837,808,093,249,
265,019,704,488,393,488,581,593,856,034,907,580,821,459,732,511,542,769,247,
833,516,016,253,356,149,156,152,427,576,943,329,607,730,051,481,631,278,638,
955,854,298,637,421,498,501,397,495,621,889,296,534,154,517,092,452,538,917,
830,971,861,699,856,700,176,205,933,603,813,208,054,906,779,273,048,222,773,
491,285,803,734,402,038,034,491,759,879,794,958,256,759,905,534,633,716,256,
167,358,332,780,344,264,952,227,209,112,479,796,135,513,711,496,812,507,606,
174,154,997,435,526,149,744,335,654,320,149,656,062,241,432,434,969,356,149,
029,899,226,501,983,876,577,510,125,487,340,069,384,562,827,762,317,538,722,
803,213,421,575,138,888,636,690,342,541,639,476,711,720,962,777,920,094,496,
852,272,576,677,888,389,241,917,821,835,188,230,634,508,286,538,382,871,390,
277,747,680,780,704,224,841,663,180,520,172,980,231,209,547,022,210,491,601,
385,221,648,654,370,332,665,902,155,907,156,281,116,737,803,490,579,725,653,
059,100,841,674,280,245,404,238,809,270,619,502,638,471,781,619,694,259,613,
964,284,143,608,845,863,335,757,637,711,812,272,480,354,549,583,076,830,975,
775,566,783,459,613,036,847,550,702,955,382,155,496,835,602,506,183,838,251,
331,031,263,657,247,746,693,762,292,954,046,244,691,816,802,088,953,929,053,
249,659,597,362,517,302,528,822,334,573,405,275,703,594,465,850,445,384,033,
927,275,308,653,887,475,303,002,514,373,557,815,722,462,747,588,379,366,320,
183,738,004,035,004,858,270,156,847,229,277,692,464,483,880,836,907,293,037,
823,946,301,533,588,706,981,448,822,195,746,304,018,697,604,023,302,942,623,
210,341,189,929,357,550,427,181,850,316,969,822,202,843,275,109,503,386,314,
472,502,012,990,772,935,882,347,009,467,770,181,251,726,708,565,143,720,895,
276,571,607,023,776,967,464,379,208,007,087,328,525,781,454,825,252,041,591,
423,467,182,490,233,945,316,263,925,071,401,990,635,408,878,591,591,202,327,
812,709,942,385,612,588,071,906,854,987,557,711,560,095,064,018,436,809,978,
048,404,110,373,562,096,992,719,640,584,972,586,830,354,367,211,146,949,938,
900,546,868,181,867,596,012,005,821,082,006,825,320,352,829,786,875,038,779,
778,648,094,227,922,940,601,877,612,286,789,054,763,907,639,684,541,862,301,
210,424,490,042,660,626,429,677,670,740,327,078,331,388,272,379,349,369,432,
265,948,100,486,155,355,248,600,975,163,727,909,878,344,434,548,956,662,338,
129,173,356,984,694,575,058,596,506,266,001,623,245,197,573,946,879,559,474,
558,535,488,516,902,945,698,849,756,488,733,246,695,195,953,477,974,693,738,
212,070,790,639,313,897,636,436,728,389,130,075,242,517,783,636,235,359,251,
354,753,729,134,380,943,375,254,403,528,463,223,594,358,394,904,486,780,493,
520,697,535,630,720,126,101,033,825,998,700,502,586,375,551,308,422,081,713,
941,580,316,879,241,763,150,036,208,076,061,948,547,491,254,848,936,822,018,
158,142,337,251,379,258,880,053,873,119,575,930,175,167,430,902,710,064,080,
773,933,576,304,846,880,468,311,062,437,958,609,234,965,397,796,299,314,007,
013,204,668,953,866,373,202,719,642,188,560,816,383,489,916,947,627,446,760,
015,358,723,963,351,545,102,249,148,605,380,709,393,978,238,565,783,638,893,
038,877,321,413,763,127,290,244,011,056,923,544,255,465,337,926,945,920,332,
611,941,653,187,833,491,049,323,378,211,727,020,205,037,897,793,128,558,693,
267,695,597,975,251,817,980,042,108,656,339,198,560,180,625,828,382,921,508,
049,196,409,142,147,378,436,143,377,969,794,085,071,332,170,516,294,950,219,
540,762,200,538,194,280,578,446,158,477,619,342,679,632,687,823,536,032,730,
033,829,553,405,470,700,319,811,854,700,494,359,947,065,718,426,794,327,364,
910,478,761,090,312,753,564,537,189,045,572,624,978,994,072,988,801,164,719,
089,173,784,590,695,435,802,601,670,190,786,379,237,504,328,179,684,121,735,
871,291,534,839,597,809,346,139,938,761,435,100,761,476,452,018,672,460,574,
922,843,463,165,825,286,955,714,051,543,950,054,820,734,409,801,889,723,267,
416,002,291,821,162,034,294,020,442,344,011,467,102,387,965,948,963,503,558,
373,738,516,515,697,412,948,594,054,643,170,678,132,116,288,151,171,471,671,
458,541,497,927,634,297,340,864,016,256,460,854,323,977,012,357,487,698,675,
255,287,907,472,858,547,968,335,109,198,844,294,253,417,151,101,713,490,524,
719,083,504,934,613,059,028,654,834,091,401,635,042,963,729,033,939,610,520,
185,055,630,865,651,981,861,223,286,837,664,244,401,427,252,629,064,176,569,
518,396,349,793,191,121,437,391,693,923,855,474,744,768,388,778,789,342,381,
464,187,488,249,797,089,775,734,181,336,739,164,749,573,431,315,563,472,504,
089,114,010,781,770,774,157,886,989,179,477,970,970,511,781,915,247,807,288,
990,652,164,574,802,321,360,045,510,058,493,574,543,839,878,984,755,914,009,
730,769,673,143,795,253,022,590,620,324,184,432,277,350,275,809,762,735,662,
760,461,495,528,935,441,685,083,025,239,515,402,332,554,115,479,198,735,405,
983,163,699,222,583,785,638,403,923,617,288,571,005,242,533,251,938,977,019,
823,049,413,167,931,116,430,995,388,137,344,889,654,060,342,884,121,725,195,
626,966,679,876,848,235,837,404,415,817,801,381,269,739,779,472,830,705,799,
257,491,801,214,742,240,570,466,529,288,071,184,630,875,630,428,505,558,601,
204,748,946,959,806,745,517,022,026,141,102,114,360,146,034,111,123,997,089,
792,012,984,438,817,191,322,012,865,338,318,548,185,115,698,639,361,743,341,
467,459,952,363,974,631,304,415,277,688,871,858,931,086,929,868,784,220,489,
835,552,318,325,490,311,024,731,509,813,834,013,997,766,652,446,278,283,443,
382,695,459,264,018,865,991,212,269,052,667,549,080,671,296,557,582,566,140,
522,036,772,832,806,665,301,138,912,034,731,409,350,536,371,930,655,690,935,
565,034,263,040,611,922,983,765,650,463,168,546,282,276,677,901,119,070,829,
652,438,217,845,719,334,742,906,220,312,602,412,387,270,291,834,012,734,759,
408,069,341,580,422,478,902,530,855,576,982,095,853,105,301,499,716,921,847,
269,119,197,126,122,840,295,134,604,724,960,187,371,573,319,940,426,246,518,
355,301,509,074,021,360,916,352,401,555,857,655,520,940,572,509,277,756,262,
477,987,997,904,833,265,693,951,085,170,940,295,029,454,866,383,079,329,514,
431,500,129,347,802,694,179,838,150,657,123,238,864,338,914,433,907,456,053,
214,931,966,651,838,563,654,709,004,774,791,513,469,669,333,623,739,052,956,
047,373,453,244,617,356,302,303,614,678,146,411,062,506,578,190,258,282,664,
995,399,585,867,601,541,773,425,466,474,058,829,648,932,173,941,399,912,464,
112,836,738,613,547,292,608,317,767,086,339,498,981,422,621,032,813,597,317,
200,244,630,157,717,389,117,807,708,535,864,640,420,981,754,812,260,027,117,
658,642,402,418,185,108,634,067,265,179,573,712,532,068,101,947,255,780,257,
011,648,685,570,317,763,543,589,598,263,485,211,461,993,824,655,733,488,011,
974,831,463,948,428,608,182,261,549,451,548,565,118,629,515,318,197,347,848,
500,281,364,003,053,926,470,635,003,390,208,292,187,212,401,673,076,679,098,
542,662,126,754,084,836,148,476,679,433,380,481,976,650,062,107,129,844,267,
201,172,773,096,375,403,154,509,398,847,134,082,568,358,673,693,534,729,167,
440,456,224,955,043,445,994,644,696,946,458,532,112,157,081,993,951,036,335,
222,135,078,283,101,101,352,643,836,473,745,471,009,745,337,994,792,446,286,
481,283,916,765,487,620,234,676,668,332,739,006,589,888,861,917,575,606,214,
277,586,419,831,079,314,505,491,201,159,001,832,702,279,367,676,194,997,153,
811,452,863,674,069,574,279,611,940,272,548,566,996,673,512,432,051,624,191,
089,175,817,215,245,943,682,914,793,611,063,399,415,616,236,770,658,614,355,
067,983,706,189,165,912,581,252,577,200,908,725,628,783,503,502,123,191,060,
088,874,563,282,495,768,109,680,271,955,936,942,462,396,445,498,743,270,077,
177,629,904,308,062,444,774,311,935,891,696,132,461,676,344,219,313,730,005,
381,316,745,802,029,394,854,323,337,512,205,010,583,307,441,241,997,731,987,
595,527,451,903,191,476,282,266,579,465,927,413,349,066,174,398,495,392,052,
338,194,897,762,131,639,952,954,766,675,642,305,345,198,368,898,698,245,162,
077,667,333,623,654,008,535,914,241,064,543,701,749,429,213,109,137,925,267,
929,752,192,484,186,339,060,427,772,417,194,300,475,336,006,402,493,354,950,
724,510,606,121,699,919,868,733,244,450,769,338,473,436,083,174,753,932,446,
163,753,887,080,187,049,895,852,257,798,147,796,296,810,818,662,273,191,480,
737,537,777,881,234,157,139,989,917,952,766,219,043,244,778,580,137,184,973,
792,680,010,280,334,865,174,704,265,932,841,867,878,226,640,860,142,255,922,
914,752,271,324,535,686,012,019,685,660,493,418,353,061,457,225,493,617,071,
678,607,101,137,960,375,000,014,768,193,625,747,147,021,744,953,385,416,482,
327,530,971,865,661,548,446,893,269,361,745,949,757,918,803,587,855,436,157,
935,288,815,956,086,206,618,972,414,160,410,781,983,781,698,951,284,052,769,
559,711,892,648,963,645,557,242,050,478,265,032,084,900,898,761,735,172,099,
194,442,292,237,084,537,188,303,446,117,730,580,588,016,304,571,295,739,318,
934,867,006,089,221,335,940,976,275,112,114,875,773,786,606,244,178,340,729,
542,781,679,070,409,446,011,679,311,072,021,253,091,325,647,612,546,276,061,
619,631,074,985,940,753,757,277,906,800,580,853,478,963,369,841,012,475,075,
328,830,410,466,092,518,734,571,686,120,851,649,859,617,694,683,084,431,465,
505,662,311,950,764,820,540,265,428,944,478,579,879,393,964,925,073,795,377,
690,575,003,830,292,558,865,124,098,698,504,301,733,952,623,484,157,508,213,
179,421,554,265,788,891,884,412,345,554,523,840,940,298,270,004,033,482,261,
121,227,695,940,509,963,741,925,129,464,185,125,947,001,389,110,337,273,660,
034,945,898,087,859,725,078,998,492,775,536,982,791,030,663,884,755,759,655,
591,247,540,461,432,622,025,895,828,605,347,473,846,768,058,484,925,991,837,
774,915,172,964,417,228,769,895,016,594,398,510,643,032,935,627,931,224,553,
431,602,787,469,678,181,905,448,766,745,085,074,377,302,649,738,853,233,905,
208,946,311,762,410,916,619,223,761,877,358,261,090,109,386,016,900,092,211,
798,296,805,421,732,272,299,750,517,768,834,966,215,571,288,792,732,625,931,
039,824,428,862,137,744,367,616,510,970,535,809,548,519,953,102,377,632,231,
603,234,743,614,718,224,803,212,284,885,516,539,470,897,882,882,590,957,583,
480,340,072,333,548,469,675,032,747,092,092,733,400,996,400,339,077,368,805,
929,820,740,298,693,089,455,762,457,112,231,490,611,904,658,703,135,501,187,
003,498,226,573,129,272,077,822,965,333,505,543,955,035,861,613,780,361,939,
785,306,564,292,565,506,593,468,563,248,511,700,981,498,202,289,984,422,401,
267,294,838,739,056,761,692,137,808,531,225,308,621,065,491,726,907,114,958,
110,425,262,643,120,669,898,997,851,305,977,378,048,245,097,947,346,799,951,
667,263,450,210,707,759,786,683,121,061,263,300,608,010,330,621,794,724,220,
581,994,196,301,228,156,908,368,406,423,717,000,209,101,393,268,769,800,221,
973,010,989,910,504,140,350,599,058,033,957,966,460,104,344,588,080,429,014,
609,959,822,646,248,532,279,977,864,816,232,489,491,176,271,521,722,410,446,
001,865,134,239,159,942,471,047,911,003,145,364,440,659,407,363,675,960,412,
897,202,541,172,319,125,034,726,939,716,855,281,990,718,267,796,268,306,831,
398,236,902,414,757,651,957,691,200,937,064,592,361,901,808,774,402,972,487,
327,750,622,633,406,287,233,138,565,075,084,635,416,925,128,937,507,308,802,
040,166,365,545,217,124,668,561,299,618,410,794,450,499,940,927,704,115,661,
791,192,240,873,479,349,465,283,677,283,335,034,215,455,553,278,782,882,742,
790,001,811,711,424,370,383,888,160,826,716,051,397,374,696,534,639,896,482,
306,666,414,233,110,942,962,427,355,918,459,326,949,769,948,234,955,152,746,
533,891,749,744,153,833,358,136,116,995,201,112,652,943,927,225,827,554,226,
050,115,862,833,626,017,621,344,883,375,010,135,191,323,759,421,301,609,063,
754,235,359,561,967,056,054,807,444,538,682,653,370,447,764,118,273,876,179,
808,141,411,886,476,016,270,506,519,964,043,286,654,458,557,088,641,549,894,
320,487,973,459,958,512,165,265,928,168,836,710,990,790,370,484,102,903,597,
502,816,666,725,610,047,742,703,056,917,100,894,619,212,579,679,083,505,402,
998,195,158,604,974,474,993,994,268,250,767,416,061,880,428,229,883,296,779,
970,214,525,487,459,646,562,194,272,025,249,791,533,978,205,864,107,716,207,
691,402,066,886,424,567,098,048,793,772,541,298,779,191,468,111,756,643,259,
936,953,110,194,649,432,714,159,284,802,380,723,046,411,356,702,769,987,096,
067,061,666,146,207,064,120,227,231,469,375,171,082,549,484,444,872,851,836,
006,391,562,107,762,008,386,919,730,224,024,645,992,693,293,659,560,895,658,
708,663,743,244,535,446,428,092,746,216,570,113,390,723,545,730,743,964,807,
942,899,246,639,965,736,108,813,712,427,719,817,006,229,686,919,005,110,618,
965,754,586,419,739,843,236,546,651,515,122,054,573,157,319,142,950,022,030,
313,909,617,683,390,596,859,844,910,458,998,047,306,890,582,291,241,002,337,
721,281,024,714,523,880,613,564,361,295,108,429,438,274,776,911,321,502,075,
809,613,490,262,468,716,784,878,263,949,239,311,451,223,049,509,944,255,985,
390,752,133,592,270,803,104,020,903,906,446,634,429,766,890,330,650,874,439,
609,555,130,252,360,013,221,514,345,010,025,651,227,207,798,070,036,185,151,
655,169,638,650,563,682,090,944,038,591,192,325,730,400,709,130,281,543,078,
831,658,281,734,076,602,776,093,334,362,566,595,275,220,558,723,255,676,007,
876,667,255,331,976,743,626,955,495,642,927,084,358,767,168,477,382,968,230,
964,698,075,336,780,716,325,460,707,615,621,446,943,454,690,096,237,801,732,
236,192,527,539,593,319,572,276,154,765,796,622,796,979,590,370,854,400,179,
864,581,952,664,917,881,453,510,696,148,678,931,082,730,030,282,361,831,242,
664,715,486,489,208,166,321,110,720,517,071,299,370,271,300,997,184,452,068,
336,489,127,767,678,659,789,174,824,583,333,412,075,388,839,533,640,456,571,
952,635,821,892,652,894,704,602,558,354,163,803,460,713,570,544,224,711,005,
047,940,523,721,343,688,664,994,289,231,436,342,404,064,659,988,441,720,319,
733,940,976,690,978,449,120,007,143,882,175,753,145,332,822,598,145,410,391,
682,665,333,797,843,265,242,828,305,870,190,801,908,130,507,348,408,553,486,
577,085,479,913,185,428,955,636,062,627,490,070,720,963,572,660,154,876,249,
341,951,604,569,321,178,954,678,875,957,052,137,373,163,006,359,525,929,054,
012,694,642,818,549,686,574,219,817,814,485,150,049,533,393,252,507,920,098,
717,710,077,432,890,491,801,333,642,578,835,183,713,395,014,967,097,821,737,
840,146,089,025,693,538,131,400,906,697,980,465,626,906,735,561,508,598,729,
085,339,885,067,723,378,398,280,621,724,252,982,120,160,240,752,109,910,184,
161,451,926,112,153,192,431,799,196,382,272,681,402,785,676,841,363,366,804,
193,332,686,154,976,198,863,377,733,950,166,373,650,922,851,873,830,869,917,
719,247,339,903,926,925,222,764,232,249,241,631,650,779,928,319,847,823,491,
348,832,560,618,748,014,813,570,414,986,732,827,655,082,818,515,053,646,548,
547,266,317,792,020,671,725,575,173,634,895,364,414,646,188,134,294,724,173,
951,265,076,674,498,615,218,701,421,887,993,544,429,084,232,985,428,635,481,
857,574,772,273,264,417,705,736,350,233,011,548,489,090,530,737,177,061,190,
715,183,878,939,396,087,293,296,109,550,309,005,771,636,276,703,407,267,501,
777,252,201,407,183,124,513,454,659,448,623,224,860,581,736,834,219,308,176,
771,262,929,712,545,970,914,477,830,703,023,618,572,893,250,989,644,514,642,
054,041,205,013,157,508,021,223,388,594,261,290,402,576,653,110,585,303,054,
838,051,184,505,349,141,090,104,331,622,342,104,578,257,220,598,501,679,146,
623,354,559,731,469,416,745,739,591,859,462,944,048,549,261,287,573,750,268,
238,482,525,342,591,498,517,126,049,374,660,707,575,741,739,444,673,229,387,
274,392,681,009,341,378,952,868,295,586,082,624,134,137,207,020,051,262,803,
143,865,300,136,220,707,641,542,854,094,259,005,297,800,792,867,445,990,899,
948,948,122,989,226,299,221,964,113,730,513,472,841,633,480,118,452,840,804,
980,431,058,380,193,629,280,240,194,390,824,099,000,081,014,794,561,733,161,
496,616,092,186,380,497,317,132,597,268,654,972,344,649,966,562,113,474,652,
832,200,199,703,458,894,055,168,823,797,452,605,181,925,768,069,565,829,809,
922,043,927,093,767,113,189,499,206,430,056,091,756,691,603,068,325,927,325,
082,878,255,300,358,453,266,234,155,494,125,856,592,600,512,023,141,572,970,
294,954,581,408,508,581,954,536,666,768,680,319,166,397,999,015,676,020,936,
730,597,312,775,464,635,692,688,060,190,937,715,759,104,084,323,252,598,505,
621,148,290,124,479,471,663,060,711,029,477,218,804,497,230,619,869,663,936,
770,260,896,051,972,541,148,885,055,040,695,003,156,753,306,402,570,987,937,
429,265,664,939,204,840,815,132,769,316,660,433,848,836,501,081,712,865,459,
981,683,806,175,930,180,220,141,700,089,307,662,428,376,078,301,725,542,734,
541,415,908,351,118,810,684,071,429,236,965,041,433,196,618,734,909,905,704,
289,027,119,943,686,483,541,828,296,343,488,530,075,388,067,769,848,182,618,
525,145,480,511,344,555,219,456,066,437,159,071,809,265,667,830,679,873,492,
255,542,228,699,613,608,117,767,249,616,303,637,495,109,869,133,860,268,934,
828,566,088,047,322,987,308,369,829,019,951,250,822,644,197,013,169,819,391,
966,022,919,469,221,112,647,241,188,629,093,866,525,199,449,509,945,066,779,
031,737,248,033,716,859,501,840,095,592,970,869,684,019,255,412,441,204,185,
109,560,011,719,041,212,502,500,227,665,571,639,411,048,312,436,406,350,336,
974,353,946,514,048,554,880,606,181,602,732,371,182,985,001,274,269,501,923,
310,001,453,708,813,238,182,970,989,115,662,214,154,898,176,299,533,096,410,
940,019,523,758,822,914,539,122,720,416,122,197,224,491,361,027,518,106,027,
455,666,920,435,147,712,516,855,594,677,482,302,778,975,797,225,489,559,645,
694,474,755,225,713,209,445,068,105,033,013,652,038,127,960,276,043,441,682,
793,193,843,136,488,676,207,758,233,658,899,281,901,686,417,126,199,093,056,
574,488,742,466,442,933,057,298,473,733,951,663,567,477,827,952,102,526,973,
210,186,617,893,206,380,346,908,523,855,331,822,107,627,515,954,209,904,337,
183,441,043,573,649,304,279,339,958,839,270,149,421,601,509,039,470,146,479,
222,606,918,647,468,050,858,663,536,853,145,899,549,020,342,167,236,813,058,
205,543,041,233,891,449,132,501,838,651,778,123,995,049,067,032,851,951,768,
921,827,999,388,987,985,145,363,771,170,589,489,514,180,455,686,978,108,155,
346,885,657,536,347,300,037,628,602,751,961,935,621,619,232,090,502,943,780,
657,070,376,382,556,179,504,884,591,095,567,232,077,154,858,356,008,836,633,
982,690,172,081,705,562,827,370,757,076,816,866,540,479,174,684,098,469,522,
015,895,909,197,913,247,395,905,528,632,867,168,789,733,397,739,076,496,211,
414,250,541,188,502,344,244,991,785,368,644,606,962,843,914,107,102,471,845,
937,113,285,131,067,681,032,298,396,412,736,156,692,455,608,675,247,275,532,
015,144,937,936,123,354,878,784,942,049,358,354,497,347,800,545,988,876,503,
806,559,331,574,224,645,585,509,703,798,561,222,909,982,599,826,903,859,640,
398,623,542,450,230,528,482,667,639,052,358,581,357,469,891,459,627,192,404,
778,143,631,154,250,601,417,509,189,719,662,048,145,472,364,806,036,001,704,
335,904,332,037,839,590,360,642,590,779,330,895,478,500,132,912,495,002,156,
796,693,051,948,175,075,436,900,234,274,756,663,103,494,592,626,977,152,733,
132,162,628,401,619,426,954,706,864,923,875,809,458,967,154,543,796,509,335,
344,034,050,568,296,013,491,482,410,763,755,989,423,285,669,398,045,794,797,
100,472,990,294,441,520,908,295,701,673,058,221,998,793,838,164,718,699,364,
484,650,109,080,817,683,797,476,873,029,134,656,272,394,481,001,773,434,882,
080,746,474,639,078,448,358,511,614,836,616,144,911,056,378,378,667,326,303,
145,417,912,397,012,059,985,569,928,903,028,500,427,236,951,269,857,117,282,
789,700,141,703,036,402,491,314,952,530,259,913,551,494,754,005,575,896,452,
913,209,423,608,993,767,321,751,176,959,623,777,295,613,431,077,067,605,592,
840,492,199,464,550,572,482,364,455,632,570,370,440,294,284,374,013,298,099,
530,917,340,728,844,657,130,841,017,014,853,583,730,776,463,957,781,698,149,
627,621,269,609,557,089,176,999,695,438,897,094,242,804,467,562,776,394,028,
312,666,258,238,377,389,456,319,229,535,194,420,171,746,243,955,001,305,887,
716,354,462,519,267,063,093,887,745,223,099,569,540,000,368,782,436,400,012,
723,097,322,580,408,268,617,232,586,549,058,008,718,756,329,800,791,119,645,
079,911,714,342,195,818,901,401,902,650,996,979,585,875,281,401,295,640,731,
661,131,321,910,399,577,113,001,062,451,453,557,878,549,576,214,937,092,737,
892,933,285,298,162,093,805,364,245,965,124,503,190,350,899,710,232,407,771,
640,082,970,015,980,622,860,015,311,275,535,680,025,291,849,504,351,896,846,
539,429,028,431,950,638,535,342,554,334,916,858,040,106,328,908,197,018,683,
834,126,463,790,616,885,460,159,262,387,536,503,528,497,038,992,682,916,008,
148,475,846,210,038,491,760,882,166,618,552,136,180,494,977,215,691,080,835,
861,950,030,105,047,688,980,591,418,565,001,670,448,601,613,807,269,161,350,
041,259,523,673,822,587,281,386,931,236,540,424,763,258,637,194,650,495,067,
010,842,314,510,968,883,720,966,895,048,732,542,267,908,022,749,190,608,774,
187,888,771,790,263,169,988,953,001,677,984,155,029,500,535,034,177,991,441,
269,674,314,362,362,112,931,558,097,851,384,295,579,159,482,806,669,510,924,
419,557,020,903,370,880,371,344,383,719,128,227,041,091,745,961,016,015,707,
387,658,907,102,800,859,829,042,431,764,359,308,755,894,023,070,219,881,553,
090,208,728,427,656,428,694,212,937,217,739,567,231,188,908,530,907,755,230,
700,801,440,907,055,105,557,369,876,405,941,069,452,465,742,949,127,710,315,
073,712,815,019,992,958,171,597,467,932,387,794,693,108,416,408,896,001,631,
267,968,788,643,777,685,502,830,173,024,070,415,346,741,048,894,266,211,882,
286,024,335,866,587,207,160,017,405,326,087,663,742,434,797,928,141,324,798,
518,960,527,551,963,533,640,552,241,164,800,040,937,825,975,759,298,169,635,
460,431,824,720,175,560,063,124,649,572,479,808,200,196,430,186,771,753,007,
115,872,273,036,662,437,701,515,762,552,246,381,630,148,731,309,646,623,167,
532,120,222,524,142,202,603,535,071,275,528,883,262,023,157,394,815,012,344,
468,657,111,404,418,345,312,987,712,805,649,937,125,758,776,226,428,006,975,
682,596,525,919,436,199,725,906,052,669,355,851,039,946,840,935,321,598,318,
870,083,930,614,442,596,452,584,315,228,662,690,911,649,204,866,354,822,376,
290,561,823,455,297,750,625,817,119,876,526,404,491,527,632,034,810,695,192,
096,745,683,243,739,001,745,181,744,892,969,561,802,282,101,091,641,067,449,
230,791,888,291,729,589,355,119,459,205,088,300,819,789,920,196,014,230,181,
241,291,344,332,908,106,757,373,660,147,970,185,604,781,708,010,997,966,128,
202,880,201,100,353,890,428,828,045,576,706,600,335,952,544,178,353,034,470,
903,573,957,130,168,690,180,867,701,240,364,575,020,379,430,655,435,793,409,
970,809,902,514,295,393,155,621,565,561,416,718,877,198,208,348,231,682,900,
836,168,813,166,537,612,166,401,024,394,687,171,492,081,294,812,186,709,544,
187,629,334,326,140,571,304,123,960,915,876,317,145,027,532,761,936,451,276,
456,876,611,732,256,809,975,036,169,045,594,311,633,853,107,517,551,020,080,
589,601,199,478,527,882,746,001,135,037,708,782,261,762,064,843,115,513,786,
349,527,876,160,137,287,278,069,336,834,779,009,704,336,865,891,544,576,103,
664,987,816,060,384,853,390,744,184,250,630,234,450,756,635,798,120,023,500,
833,414,338,490,569,030,411,617,304,176,515,927,542,116,666,912,936,733,104,
653,139,700,618,908,663,789,575,717,900,859,171,470,293,504,317,921,507,256,
280,325,144,282,204,923,647,375,286,051,063,887,384,535,529,985,666,050,699,
183,404,092,673,609,651,352,130,964,826,816,591,484,753,706,994,433,260,866,
621,735,421,497,330,113,140,380,540,924,087,326,359,079,764,037,859,374,641,
563,824,548,218,695,440,675,109,114,040,717,115,146,081,333,729,447,263,449,
009,861,353,472,247,646,176,554,009,512,010,217,306,540,911,272,180,461,419,
514,783,561,684,265,121,455,901,371,107,672,130,651,694,042,192,988,567,929,
071,297,905,156,950,148,243,738,441,528,796,337,255,842,852,057,791,660,091,
198,385,276,819,636,646,424,427,257,464,300,691,187,194,216,686,286,917,262,
608,558,259,227,461,673,849,517,119,147,866,930,703,850,204,096,222,573,003,
062,387,903,799,106,630,517,150,265,353,083,812,743,578,862,869,566,787,695,
436,767,070,799,165,715,633,428,948,423,903,053,811,083,270,443,234,058,968,
588,920,591,941,669,967,732,071,527,399,550,224,548,626,030,425,603,304,433,
942,771,521,696,375,610,198,486,392,123,086,324,382,571,843,911,737,526,769,
633,561,976,008,377,057,877,707,558,998,179,375,692,340,717,043,649,805,755,
748,866,503,168,751,176,459,788,965,114,950,933,317,841,438,064,393,125,942,
983,439,254,361,292,861,245,772,136,105,711,001,229,541,159,339,142,020,911,
767,271,580,640,237,996,223,363,097,052,074,377,285,880,658,250,591,018,260,
146,957,205,640,509,675,018,181,415,945,821,763,247,272,069,516,780,862,341,
248,288,201,565,283,019,054,439,946,321,333,389,926,027,147,628,148,138,561,
582,432,405,442,561,050,248,857,420,404,935,860,540,808,284,803,427,093,905,
485,487,044,831,651,876,057,908,355,288,763,998,394,203,350,907,073,947,826,
568,449,478,997,304,736,665,807,718,234,572,774,858,649,919,758,764,022,177,
085,646,373,831,743,087,506,519,598,750,577,974,217,696,934,378,068,719,037,
271,256,617,437,971,958,702,644,121,111,036,272,624,972,141,361,506,348,642,
092,781,418,908,663,865,917,086,104,377,892,045,977,876,285,702,227,570,913,
007,265,731,642,963,139,832,549,354,895,934,926,990,590,655,803,235,910,402,
186,788,811,594,865,321,462,568,512,499,332,978,993,734,157,284,602,483,491,
846,982,932,170,711,312,700,849,361,974,076,023,110,791,698,729,861,313,706,
245,297,199,929,968,289,809,288,970,434,841,530,372,195,376,482,058,507,640,
591,704,878,586,925,121,452,950,746,972,618,471,789,503,882,920,711,174,390,
336,316,374,683,667,596,407,539,538,522,595,671,041,161,620,291,753,433,203,
966,092,634,644,336,226,758,155,368,475,342,073,168,639,276,078,937,891,554,
513,268,644,717,707,248,612,781,454,334,910,644,685,039,812,228,402,944,705,
647,563,028,337,928,397,008,292,943,033,582,387,704,690,461,342,093,087,169,
405,812,894,868,684,124,984,291,846,118,150,102,509,308,611,744,722,542,766,
608,501,803,500,423,443,957,812,152,378,870,143,010,596,960,917,312,949,418,
838,915,580,074,952,793,687,036,428,804,501,049,923,920,113,503,147,225,696,
915,633,504,233,350,278,825,728,577,663,665,223,603,064,028,300,666,134,082,
014,630,725,560,749,220,760,460,478,611,034,037,322,317,801,249,231,152,240,
380,752,037,415,646,411,676,783,807,102,387,277,660,287,354,314,993,949,125,
139,064,141,575,562,279,708,685,094,905,925,091,187,785,082,883,682,034,651,
102,637,564,283,313,630,867,760,113,269,371,779,239,088,821,539,374,619,159,
502,392,361,624,918,616,682,322,140,427,008,517,007,297,857,945,262,606,370,
580,799,658,111,524,406,149,920,699,881,390,670,245,436,217,283,251,471,424,
279,953,785,072,057,872,304,260,484,768,732,482,758,340,925,670,018,049,518,
890,471,894,001,103,356,041,748,750,631,851,902,513,689,793,653,496,122,987,
046,910,287,401,347,156,874,152,937,725,501,169,370,241,174,292,914,105,919,
215,756,020,032,291,670,040,875,254,938,159,776,507,495,473,503,528,291,731,
747,887,046,685,117,607,695,896,474,792,510,145,538,416,636,454,039,733,333,
227,562,296,563,294,395,108,681,186,503,898,715,520,216,317,508,283,412,165,
429,020,460,822,925,762,560,153,623,501,892,689,504,410,553,482,755,035,931,
791,170,152,941,178,445,190,354,948,053,485,289,003,673,413,653,484,203,813,
597,494,990,957,492,242,642,723,343,161,267,033,341,560,882,561,153,672,956,
274,048,972,218,285,708,710,459,657,333,088,648,966,251,007,802,442,164,556,
043,926,605,160,213,007,500,707,450,181,968,933,483,969,480,647,012,552,410,
167,090,508,138,800,787,462,076,820,709,944,343,387,440,451,645,621,578,820,
158,001,247,195,057,830,167,941,908,746,915,114,899,560,600,574,797,437,690,
673,426,417,565,551,159,827,111,922,720,735,246,784,931,891,687,218,190,841,
885,859,635,789,372,347,377,398,717,096,633,858,319,455,577,439,453,622,132,
774,733,712,097,900,766,717,410,286,917,096,648,508,420,920,468,829,154,441,
452,639,959,278,301,047,583,254,843,555,420,557,300,235,151,150,485,548,909,
601,982,008,794,053,116,623,921,497,749,254,146,584,858,997,881,185,589,909,
438,678,504,787,885,079,928,313,522,788,241,193,406,031,495,544,626,325,506,
665,563,634,412,460,838,787,759,849,003,556,023,071,943,819,249,126,452,066,
185,486,024,281,230,827,457,859,954,353,006,968,271,775,131,451,138,129,571,
806,810,350,802,389,817,629,528,637,201,251,164,809,546,628,441,939,219,290,
423,909,415,385,883,828,128,256,771,823,096,191,484,182,368,667,189,572,068,
542,655,405,273,808,792,157,133,637,511,642,302,043,059,612,276,520,559,123,
922,699,706,883,463,629,867,449,715,303,708,195,558,656,638,525,512,865,047,
200,266,277,536,468,377,605,066,790,208,722,756,402,470,910,817,051,156,353,
162,969,423,685,890,805,776,985,990,916,131,376,466,364,918,535,356,754,046,
863,145,781,146,138,353,898,916,141,450,113,440,730,081,291,899,463,424,984,
748,234,120,039,236,750,750,901,498,539,096,305,927,431,867,159,106,016,703,
429,272,245,947,170,308,177,518,440,077,742,459,168,559,665,646,716,138,660,
235,450,342,551,968,102,127,437,628,937,055,526,998,839,351,419,876,266,888,
826,054,827,690,786,990,153,354,519,087,149,140,202,017,003,696,482,614,479,
209,152,285,222,752,716,086,968,234,717,264,163,009,299,533,603,114,230,636,
876,799,442,450,261,692,302,353,230,405,802,566,944,343,860,514,112,586,855,
334,084,116,373,115,625,472,210,373,978,679,587,136,592,063,470,459,581,336,
852,521,859,886,648,523,227,809,931,630,886,964,052,777,802,927,084,918,502,
686,157,352,379,609,539,843,894,254,066,873,109,323,598,595,547,287,104,740,
747,367,559,131,620,518,638,778,857,024,389,352,559,034,746,698,255,613,214,
320,367,664,659,047,837,077,109,551,576,891,220,356,570,376,891,840,200,514,
356,597,274,487,178,334,373,955,108,609,710,894,821,826,306,148,380,591,796,
538,990,710,852,203,903,848,560,403,628,217,797,208,807,266,652,324,186,765,
886,497,900,070,504,878,986,810,332,949,565,948,667,669,378,802,176,158,131,
553,265,925,559,356,323,091,569,171,748,256,903,786,741,485,553,606,402,056,
020,628,626,055,487,881,944,617,135,809,409,458,231,959,606,571,055,717,284,
975,101,779,006,798,705,313,570,465,849,082,737,066,600,769,339,502,970,122,
134,155,408,382,653,754,847,948,110,371,008,227,344,683,521,596,184,435,802,
636,208,641,376,223,921,635,947,790,864,477,105,917,501,840,111,726,380,249,
187,351,762,723,643,460,309,841,868,036,941,219,746,950,892,513,898,331,578,
398,529,874,916,678,370,429,207,810,456,242,833,115,098,197,669,592,997,762,
777,226,122,928,519,816,188,478,314,542,062,078,964,058,674,571,338,505,389,
608,002,011,469,569,152,246,207,988,603,795,779,906,598,316,059,428,170,800,
102,360,310,757,442,583,986,843,311,271,598,061,964,628,473,044,789,625,118,
331,527,116,921,632,170,265,781,643,978,393,981,375,095,890,755,387,302,554,
923,565,860,166,252,696,401,566,462,597,898,458,929,589,288,220,047,746,053,
359,265,143,949,062,143,003,334,519,852,209,872,478,371,867,192,863,034,447,
612,060,763,239,062,036,081,280,301,953,764,707,892,704,183,299,966,232,236,
426,006,386,989,288,251,472,440,226,592,285,967,198,414,806,703,637,612,591,
266,079,084,556,705,623,488,856,339,509,729,342,715,086,391,606,258,839,080,
078,783,033,964,261,827,694,387,237,183,347,487,977,805,406,578,048,686,553,
009,798,995,622,720,655,022,166,189,643,642,621,763,671,573,512,339,876,184,
167,431,820,413,374,741,539,369,429,932,859,407,827,837,664,290,152,349,540,
785,245,203,950,518,887,608,595,973,018,832,703,596,937,585,741,438,829,036,
004,548,309,185,832,302,236,399,062,646,822,693,982,804,713,166,266,880,645,
693,370,223,092,759,995,495,042,244,478,672,454,999,644,649,954,706,948,941,
815,236,378,747,896,558,715,548,291,320,876,931,654,220,206,424,785,645,106,
308,083,112,654,023,296,866,487,155,337,648,526,529,549,481,852,257,405,994,
725,887,319,322,522,302,934,481,052,640,374,205,895,453,528,305,724,451,212,
944,631,611,837,116,940,072,138,070,666,228,227,066,471,898,320,810,509,233,
298,504,508,724,120,744,984,503,568,184,576,758,828,466,112,290,149,057,635,
237,786,883,293,827,999,890,270,981,136,054,367,475,741,896,669,737,072,425,
135,362,287,903,858,730,033,692,739,175,828,791,410,034,990,460,408,692,892,
354,869,709,628,249,395,636,985,225,434,109,818,709,179,560,628,530,661,142,
537,139,841,125,497,093,555,512,777,851,450,717,917,851,157,241,247,731,091,
624,808,789,022,721,043,075,228,041,209,517,047,105,120,995,494,096,466,198,
422,637,048,535,086,927,279,220,118,582,371,350,938,394,307,998,683,058,916,
892,292,657,011,262,353,291,650,881,588,536,939,536,239,574,426,963,054,019,
794,027,009,181,944,194,491,423,206,866,834,279,851,823,415,379,841,743,657,
555,071,334,717,866,926,749,263,851,896,555,827,112,582,560,040,376,291,381,
689,885,276,036,501,174,671,151,086,909,961,970,537,404,406,538,773,031,814,
964,933,019,220,554,691,479,428,340,146,775,588,138,965,509,988,265,128,054,
900,710,950,322,342,928,065,892,035,513,201,013,824,617,086,302,437,888,630,
044,593,340,862,893,318,470,737,358,821,760,985,965,591,028,834,343,941,951,
576,849,021,261,999,568,944,889,252,393,879,601,756,920,182,541,961,649,033,
297,276,801,368,570,111,825,300,592,116,064,438,263,976,083,242,024,629,765,
965,506,886,876,471,292,023,952,272,484,528,248,093,628,935,391,295,947,825,
717,833,402,319,816,061,407,326,047,400,405,823,206,594,816,530,341,891,721,
999,315,652,820,768,142,229,821,144,417,509,912,471,151,982,527,133,183,216,
945,927,319,878,205,544,439,061,256,893,987,193,084,190,303,968,463,717,281,
713,068,822,734,824,702,619,066,002,087,346,808,465,038,852,818,656,570,671,
088,807,599,271,622,777,700,022,517,319,476,036,166,206,975,540,955,168,694,
711,713,903,992,202,904,143,921,963,894,616,132,289,269,217,461,050,188,448,
929,399,503,098,528,614,155,739,083,722,309,191,737,540,572,972,140,047,496,
022,469,544,050,877,432,727,777,357,093,769,329,892,401,114,193,309,721,596,
816,114,005,402,177,948,761,124,973,123,110,690,534,689,034,000,710,789,952,
424,047,858,143,952,574,982,355,464,320,489,795,348,634,665,151,646,929,153,
937,065,891,925,465,583,602,669,520,001,638,232,789,705,377,846,283,454,752,
582,887,808,884,259,414,737,196,935,556,470,175,247,727,836,204,824,658,567,
351,269,008,508,013,975,449,504,835,939,747,735,974,161,718,351,421,254,222,
733,883,888,269,308,341,459,064,649,166,882,344,722,114,256,669,187,669,186,
816,440,388,686,528,163,319,983,659,744,097,840,771,624,286,390,015,165,304,
648,364,998,055,182,190,806,893,449,594,300,705,609,829,184,154,066,260,562,
016,653,563,239,344,133,233,188,198,023,140,347,833,818,789,033,981,614,643,
380,158,077,499,476,673,079,300,697,189,239,701,720,569,176,400,298,221,524,
203,523,462,212,621,214,724,758,824,709,208,745,348,876,560,422,546,634,851,
673,389,573,405,613,608,410,947,252,598,783,550,982,328,162,751,799,058,022,
873,640,305,680,904,679,913,512,340,596,094,580,593,629,311,711,963,073,434,
287,142,583,627,519,723,469,091,123,826,326,610,764,694,675,957,743,814,711,
069,979,474,226,518,174,673,496,581,646,035,063,863,717,311,220,586,452,164,
057,251,430,525,918,443,026,155,390,755,621,527,078,711,568,579,030,416,520,
478,883,200,863,584,880,164,630,358,951,220,644,391,245,961,635,760,093,196,
350,461,170,325,947,552,584,264,706,463,666,684,100,399,132,708,505,420,869,
545,795,701,757,403,452,916,821,217,683,076,901,877,102,384,110,355,855,687,
231,757,363,968,161,036,181,357,555,921,272,728,766,023,445,303,656,185,421,
070,824,960,735,145,310,225,013,739,055,275,710,765,433,463,107,083,422,949,
578,101,246,020,673,984,690,443,266,990,996,073,830,361,392,452,102,225,039,
676,651,381,858,308,208,700,092,623,459,432,388,042,836,923,388,644,885,683,
351,357,277,712,102,838,195,444,268,924,355,220,335,253,768,107,113,449,701,
975,592,057,351,413,586,031,395,914,012,455,023,718,476,770,334,607,742,636,
423,761,776,199,132,157,599,266,532,006,444,605,552,830,140,315,436,442,627,
425,483,241,026,335,272,488,019,555,066,035,313,085,010,070,454,033,450,495,
723,458,610,938,223,267,938,508,126,679,140,202,022,673,302,204,483,087,132,
339,314,430,429,069,525,090,110,306,932,019,680,847,723,691,844,905,132,540,
187,682,272,078,558,947,596,352,397,495,434,994,809,405,533,137,846,491,174,
826,684,230,502,562,611,443,681,264,199,416,150,121,002,462,180,128,657,656,
595,308,566,295,347,552,836,876,441,552,327,765,172,018,807,509,378,924,432,
645,193,239,953,804,683,201,888,667,048,128,930,174,274,539,770,868,395,166,
917,034,186,951,646,839,727,616,742,356,566,991,299,482,247,958,608,776,771,
181,585,478,064,961,992,451,688,207,128,359,498,615,126,688,647,615,317,504,
500,293,136,562,391,912,811,106,865,944,661,985,412,694,336,237,158,062,309,
961,515,008,656,545,026,536,729,596,994,727,183,280,653,663,182,897,527,129,
548,049,026,530,716,193,275,234,914,149,832,574,957,613,582,418,423,547,438,
840,707,377,780,166,562,042,197,872,545,092,529,552,547,911,104,878,654,295,
471,124,757,081,034,614,460,834,113,255,919,446,330,626,474,845,492,981,964,
812,927,296,910,102,036,837,846,901,439,986,253,096,849,489,912,906,785,377,
885,169,542,864,822,186,089,399,028,535,922,941,716,392,107,371,180,916,456,
119,906,877,938,725,067,748,220,794,755,300,752,140,498,257,365,981,199,890,
178,119,318,888,212,839,114,873,163,649,575,606,669,760,383,470,009,054,763,
439,562,868,512,814,556,599,870,521,106,670,114,963,352,521,170,792,250,027,
483,504,801,943,783,905,141,921,848,102,995,428,569,149,619,662,925,801,492,
116,749,513,902,676,602,860,400,233,218,164,092,412,590,199,922,758,677,026,
827,059,945,679,948,252,171,471,434,519,062,270,854,254,715,284,732,028,941,
882,864,194,970,432,905,194,718,102,814,490,499,214,641,689,633,203,733,275,
925,548,325,201,156,893,521,239,420,460,903,262,276,134,667,826,988,131,731,
550,825,258,272,105,553,831,363,049,846,408,643,452,434,949,465,501,876,449,
918,422,419,833,920,819,793,564,786,647,845,757,092,186,630,238,590,871,237,
760,623,256,982,381,781,838,983,105,568,498,901,023,985,244,061,471,471,862,
981,481,063,257,647,970,787,113,202,386,032,947,825,746,404,739,078,880,946,
951,360,511,416,213,006,209,933,554,042,893,040,692,607,344,295,645,171,208,
527,895,091,951,821,171,847,334,179,324,381,717,119,993,799,868,361,058,936,
425,921,442,337,559,022,265,008,127,298,108,345,603,207,706,049,512,870,888,
933,585,489,418,398,617,527,508,935,389,681,674,947,556,982,345,559,047,170,
368,834,621,027,240,738,396,657,127,419,485,458,776,294,522,000,170,606,511,
293,491,439,429,481,526,304,715,063,556,040,711,612,070,983,024,264,169,218,
153,576,078,584,873,579,634,341,440,502,895,967,693,435,006,182,241,649,558,
025,184,914,329,984,658,251,909,948,914,645,552,231,673,542,915,937,900,565,
770,406,650,185,814,957,332,886,686,373,498,731,269,772,796,778,343,972,121,
411,651,844,423,143,519,220,290,985,438,102,077,558,998,764,184,996,799,554,
990,110,061,403,285,578,257,801,269,866,762,813,793,773,543,711,781,474,224,
982,721,674,942,325,076,396,621,360,561,956,208,415,730,654,106,061,895,706,
411,910,306,403,970,367,084,086,596,055,912,284,399,557,573,414,270,752,479,
926,109,311,642,572,700,263,398,517,386,340,456,547,161,210,699,965,421,414,
473,553,142,228,180,305,787,981,844,558,301,572,884,193,307,099,996,548,486,
033,681,424,260,044,390,307,301,178,668,934,578,173,117,897,436,525,966,277,
373,938,979,875,231,239,229,952,396,553,532,828,090,463,716,470,549,644,090,
933,259,235,736,434,255,039,606,535,089,695,578,184,348,051,670,432,804,777,
704,216,003,605,511,660,555,717,018,607,370,901,016,138,052,852,752,383,380,
974,133,952,567,622,037,951,555,385,645,959,063,302,922,300,324,654,119,518,
489,208,116,186,512,536,903,953,365,142,632,632,283,346,923,425,694,501,764,
734,446,860,608,122,190,106,428,202,200,405,537,328,412,703,146,121,556,426,
170,757,508,755,304,037,891,314,266,675,986,676,192,216,343,746,611,937,973,
397,172,390,581,256,289,788,560,601,878,475,551,666,112,398,500,668,192,314,
189,084,781,174,701,793,988,344,751,653,964,090,007,239,279,499,256,078,573,
894,092,169,837,663,296,235,921,549,164,905,209,423,906,170,649,603,453,786,
536,745,353,748,543,074,603,180,597,055,190,230,752,595,527,950,273,056,485,
045,933,212,676,625,191,001,783,543,636,816,282,702,526,884,437,089,003,031,
418,853,501,747,458,755,251,772,173,833,279,632,442,306,660,044,594,928,495,
321,552,590,079,110,849,182,580,221,924,854,689,271,963,693,214,887,375,878,
922,921,911,558,931,054,349,205,701,591,073,140,383,022,874,471,533,746,281,
430,759,343,782,500,208,045,311,195,220,354,797,629,195,988,726,729,676,570,
504,864,148,261,276,752,066,407,730,697,329,066,730,715,058,341,992,469,731,
521,694,812,067,194,813,056,816,112,834,969,951,246,652,368,583,128,905,048,
724,073,634,629,660,749,523,369,365,629,146,174,641,733,305,732,513,114,398,
694,037,094,477,181,409,043,546,095,585,365,028,157,218,032,837,812,105,249,
586,302,722,972,878,642,756,982,226,246,218,457,405,037,448,173,802,534,527,
018,117,829,584,858,933,606,264,310,679,536,568,045,081,184,864,716,197,065,
027,235,989,155,485,464,895,423,522,778,960,805,017,447,695,055,582,629,274,
831,327,517,479,752,580,271,644,284,048,492,328,769,056,591,021,174,307,267,
412,861,606,934,241,060,355,865,450,242,102,724,311,712,329,419,523,011,057,
637,067,471,838,884,654,640,778,143,636,118,980,487,472,646,528,480,097,315,
693,626,414,918,252,321,468,505,203,699,361,151,226,288,477,065,836,121,355,
137,354,647,720,296,149,705,928,709,257,990,415,266,651,917,550,255,244,750,
847,394,108,983,171,391,373,891,610,924,285,646,251,726,709,401,317,133,897,
933,139,808,980,320,546,210,089,642,811,487,729,923,079,155,444,268,316,306,
725,147,813,362,515,395,799,209,104,699,721,197,058,332,375,021,330,444,753,
283,865,663,408,115,552,340,218,886,437,417,656,017,067,197,383,423,869,714,
565,851,803,283,980,400,958,920,427,849,003,711,477,655,833,835,626,490,990,
691,994,049,969,136,641,929,392,689,671,150,875,488,047,244,340,225,465,374,
214,066,858,387,357,525,546,909,452,383,737,300,767,146,037,082,817,789,685,
993,439,723,562,884,604,907,327,660,638,552,873,238,793,896,507,720,308,094,
033,030,373,858,286,516,656,201,018,786,041,502,975,734,476,527,125,806,701,
919,811,890,154,972,681,764,713,535,063,305,112,787,007,821,148,346,250,180,
495,877,210,478,725,390,664,137,738,994,274,234,024,225,472,195,645,649,764,
100,211,830,630,116,360,469,209,551,008,182,033,374,128,097,653,923,132,087,
336,539,034,897,546,004,619,413,597,598,785,669,354,975,089,637,060,274,447,
699,250,215,269,902,068,910,361,280,337,827,838,919,799,291,974,208,419,098,
062,469,952,260,693,352,783,579,395,859,025,103,735,350,108,165,278,451,359,
335,516,955,414,840,575,554,839,277,096,375,418,649,246,051,537,456,766,158,
492,885,913,949,221,256,137,519,463,902,398,606,822,881,563,103,304,769,272,
532,750,590,442,932,495,297,540,114,330,512,469,095,710,886,784,740,743,426,
238,345,449,119,107,136,580,193,242,020,608,995,572,757,672,034,065,302,671,
623,504,594,971,788,465,589,371,748,102,570,216,866,242,312,045,022,396,302,
302,736,929,276,044,076,941,407,268,131,005,040,413,036,042,667,198,997,147,
773,290,034,522,910,548,149,124,925,844,604,226,632,447,208,337,788,866,973,
627,021,632,825,975,190,581,115,122,996,666,331,572,306,767,530,719,195,564,
128,588,909,814,408,066,673,060,723,014,983,110,059,306,904,151,975,299,338,
843,693,883,033,907,085,778,798,200,228,320,993,603,573,163,134,838,268,696,
635,671,273,870,095,961,916,028,830,435,072,316,365,050,903,079,167,313,347,
700,537,029,955,593,717,044,757,601,018,657,891,198,350,349,081,320,469,512,
576,498,474,428,526,343,707,473,653,245,789,878,744,908,637,608,856,912,606,
274,585,132,680,451,614,844,351,040,478,802,900,482,328,047,344,087,463,052,
623,293,611,653,610,067,136,664,938,612,890,339,545,126,421,307,572,664,970,
233,863,000,554,499,141,144,413,256,102,870,254,816,610,932,497,806,988,098,
672,299,433,398,144,725,784,192,430,100,504,145,383,424,048,758,350,607,481,
190,298,372,487,209,659,032,191,178,389,041,366,959,018,565,591,657,938,245,
177,812,771,084,112,788,593,547,197,910,371,942,800,540,272,935,267,648,716,
568,502,171,651,959,523,996,134,496,192,248,228,087,386,505,058,134,648,874,
330,866,584,375,899,277,338,593,593,272,154,475,935,254,033,752,339,256,845,
383,793,084,918,686,036,057,791,695,157,718,425,140,132,325,414,920,817,585,
775,407,975,108,294,268,820,479,106,279,099,674,282,350,753,859,604,998,557,
825,509,498,497,696,629,033,914,069,529,468,974,871,621,145,766,185,956,892,
318,179,140,453,101,651,311,351,686,049,993,736,374,087,638,330,285,232,517,
918,458,829,184,214,691,895,984,695,198,571,316,728,194,930,313,001,285,494,
515,754,065,354,276,712,352,334,302,326,718,161,651,411,138,115,811,431,625,
957,730,006,048,666,197,796,778,173,857,192,535,490,811,284,897,389,672,601,
481,561,957,777,069,613,942,105,682,983,798,883,929,519,720,571,410,027,498,
038,790,516,618,883,853,922,322,445,284,748,505,111,958,951,247,891,461,920,
022,769,284,043,496,748,777,665,807,829,203,506,401,734,780,017,356,611,448,
497,746,269,702,008,161,784,572,993,405,048,706,685,520,114,539,464,987,707,
790,267,208,264,665,285,668,054,390,436,083,167,298,743,571,437,110,818,848,
640,778,287,352,480,785,328,812,184,673,528,536,261,996,025,752,121,544,388,
747,322,746,750,251,961,299,061,489,412,010,745,733,112,077,617,205,426,546,
598,085,667,323,278,086,768,923,652,970,907,495,328,390,050,829,777,918,862,
247,491,891,920,168,227,968,137,780,826,812,953,409,397,044,749,127,903,010,
560,549,344,450,096,816,420,693,226,529,932,696,356,848,700,911,630,091,097,
504,261,807,029,709,281,646,944,483,626,210,816,994,080,381,646,080,058,336,
789,358,529,707,273,657,704,679,572,937,932,035,790,015,038,531,392,383,476,
738,044,426,738,111,816,841,970,513,133,591,186,801,756,629,009,475,898,555,
803,641,339,376,792,205,801,350,226,041,394,720,807,938,601,132,998,285,049,
111,622,004,597,438,458,204,444,554,344,342,958,328,674,372,935,137,902,652,
400,046,050,294,788,438,111,183,238,144,927,247,001,774,474,335,275,396,203,
980,877,096,917,021,353,752,205,196,914,880,783,246,467,049,259,767,418,380,
090,746,922,009,608,851,141,732,367,508,457,266,740,251,167,079,279,971,969,
979,486,015,921,633,932,777,474,064,038,813,384,805,435,723,523,608,198,928,
541,866,929,333,628,089,111,878,608,494,115,894,351,277,978,367,337,545,855,
886,516,337,961,392,497,562,884,966,969,947,110,845,486,294,867,327,475,462,
200,096,926,012,272,705,887,043,990,837,139,123,316,465,510,812,185,988,327,
890,970,258,464,700,411,397,195,621,103,793,176,734,981,009,879,879,765,630,
159,871,654,997,096,252,852,981,536,208,027,176,891,536,693,335,957,000,099,
338,294,019,223,727,644,824,618,939,521,060,381,451,753,219,374,075,111,930,
617,530,037,280,940,334,644,302,573,175,930,631,191,910,314,515,184,772,372,
449,106,171,124,822,189,650,270,597,877,959,498,675,434,178,516,670,850,737,
631,069,197,466,798,125,566,514,638,312,491,998,269,872,124,122,311,863,056,
375,350,050,945,449,691,062,442,752,785,453,034,340,529,893,459,368,662,090,
763,158,191,246,251,997,366,121,628,548,960,276,962,576,411,353,845,420,785,
799,394,431,671,219,507,419,628,367,370,863,450,488,184,114,067,823,438,479,
465,566,688,112,417,754,547,410,212,122,429,926,481,985,003,184,239,138,499,
674,832,415,638,355,246,723,189,920,751,505,552,944,241,145,857,446,071,249,
978,433,273,260,445,390,608,616,817,255,821,597,134,332,311,791,194,597,323,
812,944,204,890,028,376,129,268,878,509,919,219,244,990,726,785,894,959,620,
007,639,019,794,408,508,342,427,747,585,943,483,224,876,437,298,277,905,709,
172,113,054,520,963,033,005,548,626,952,194,253,109,813,940,518,892,079,614,
509,863,428,870,041,959,353,755,901,169,952,450,507,915,562,660,654,549,419,
986,110,533,033,076,514,214,567,880,773,398,912,447,091,903,685,400,753,925,
136,237,619,567,598,754,817,222,099,912,235,471,509,531,495,559,989,092,065,
828,036,684,518,121,862,364,503,975,439,157,235,405,429,174,044,684,289,433,
940,921,200,473,359,381,418,989,525,657,663,979,103,884,504,205,393,777,936,
437,945,918,638,902,032,400,867,435,815,362,457,007,525,187,143,049,313,178,
299,647,378,391,321,118,879,412,748,874,230,892,700,091,047,406,330,502,394,
105,424,617,532,719,545,506,533,630,486,336,599,668,427,846,006,995,152,348,
752,282,292,197,641,076,916,350,426,597,850,254,580,913,138,411,177,889,083,
442,184,296,939,046,802,885,138,167,231,585,369,339,361,236,112,084,138,981,
470,179,849,766,438,204,076,594,492,247,891,981,284,714,118,351,474,726,201,
203,500,529,104,948,637,525,477,121,404,909,707,022,356,631,793,871,750,713,
901,715,249,651,110,616,387,010,207,310,218,161,661,972,065,393,808,596,193,
951,804,309,141,006,029,902,659,625,327,501,556,200,347,643,471,766,472,523,
156,334,280,882,974,634,826,140,190,477,075,205,847,648,398,509,239,211,384,
441,500,923,803,163,807,393,738,911,060,735,122,154,629,796,072,378,869,141,
664,843,790,786,970,468,848,233,710,867,393,331,872,000,170,385,102,434,390,
444,965,125,893,701,476,986,850,260,496,144,646,285,135,419,784,791,178,875,
715,875,822,756,230,672,065,450,236,698,909,920,798,643,458,809,332,215,229,
941,760,450,983,645,168,734,240,256,600,574,304,850,505,490,360,904,000,891,
962,419,906,805,166,283,888,342,380,561,360,175,614,296,647,555,917,303,624,
157,210,968,297,084,018,024,720,144,005,936,358,380,452,147,623,909,689,858,
839,104,336,599,064,750,471,728,482,833,559,920,181,871,987,062,249,850,377,
833,922,908,021,666,436,695,499,617,294,107,583,675,944,742,883,406,712,745,
413,789,590,873,464,067,216,579,784,910,363,431,908,161,031,095,421,366,473,
338,695,439,445,247,052,902,492,223,293,112,034,500,448,509,713,713,843,904,
242,353,810,356,535,664,387,546,656,382,521,001,956,756,845,381,612,026,491,
516,445,188,351,152,702,387,869,516,267,872,654,404,949,153,713,286,026,958,
787,332,316,221,695,600,524,895,623,929,828,824,656,910,731,875,349,617,425,
227,317,179,519,503,222,845,214,299,494,449,613,725,428,557,901,449,977,422,
995,684,062,002,442,381,414,013,714,637,813,743,292,561,826,382,424,841,441,
809,215,375,281,969,980,592,995,470,577,484,201,876,787,766,094,980,171,088,
443,836,047,095,021,572,688,558,375,304,563,224,936,014,944,812,719,222,825,
110,206,976,515,726,906,209,981,283,214,303,011,532,578,906,676,774,525,191,
441,433,594,951,507,898,194,694,540,999,104,941,943,618,578,028,252,208,134,
657,883,396,966,372,066,600,087,682,952,406,011,010,475,457,527,185,577,360,
334,224,939,249,596,916,980,270,560,896,926,219,729,576,046,709,908,687,931,
474,164,959,518,655,068,394,993,413,052,281,361,846,032,159,825,741,124,514,
131,138,273,780,740,660,637,627,240,388,192,239,004,488,855,452,648,636,185,
330,459,551,167,702,767,429,876,215,847,955,767,948,370,180,993,563,668,250,
517,391,566,812,104,058,188,968,194,898,567,649,626,139,483,539,547,478,592,
702,948,311,174,617,751,599,582,223,109,336,431,275,973,660,096,816,321,547,
138,442,969,255,006,858,748,906,827,059,058,036,602,265,061,326,214,733,114,
813,934,251,528,294,855,526,351,629,152,074,786,331,438,382,927,966,271,997,
644,334,411,624,638,484,947,984,701,034,068,081,701,996,978,239,032,045,841,
031,411,712,579,915,672,921,313,636,594,677,584,136,163,090,788,901,252,786,
875,717,128,325,437,263,414,431,548,314,383,689,832,120,944,030,586,560,153,
610,220,565,467,912,197,376,332,597,885,408,937,037,102,380,794,122,070,294,
911,054,040,958,749,130,372,232,228,997,622,076,717,964,551,542,146,787,775,
392,593,054,650,729,150,286,607,794,969,344,594,044,038,922,534,825,238,973,
889,678,308,006,039,767,233,602,015,382,173,685,735,664,222,474,662,583,930,
435,084,312,725,426,790,939,155,015,774,250,876,486,392,448,594,611,251,876,
410,879,068,018,172,850,557,718,724,256,274,812,759,724,954,801,491,537,328,
720,189,112,332,425,584,759,088,862,482,671,751,933,080,278,557,715,404,021,
414,698,035,239,352,283,427,931,765,750,231,822,946,410,544,123,764,694,974,
941,646,327,076,457,448,053,676,508,540,511,087,477,689,580,312,897,441,255,
215,118,757,046,259,951,299,567,248,411,330,057,586,352,910,268,895,492,558,
891,763,930,956,774,791,143,684,444,600,030,667,587,661,120,728,903,956,122,
376,648,893,860,643,895,653,484,732,963,205,126,224,260,066,999,833,410,058,
592,235,882,143,547,989,273,304,219,114,886,925,743,254,845,373,981,918,985,
992,909,907,592,922,695,599,686,452,129,850,801,980,664,015,983,836,378,374,
917,364,411,006,346,801,433,775,946,960,987,134,097,009,085,886,701,546,703,
021,379,241,621,972,030,846,780,811,317,200,898,773,610,797,786,664,957,447,
713,342,798,839,925,777,927,828,978,915,370,020,894,560,823,482,966,376,760,
807,406,329,502,735,762,193,079,150,062,115,176,422,704,249,647,948,721,508,
810,235,123,489,460,571,203,267,352,857,992,112,789,575,142,892,514,001,065,
984,214,799,747,340,749,359,110,380,367,301,776,847,296,440,054,713,987,649,
698,691,767,396,217,042,471,371,996,425,362,630,937,427,240,299,373,448,518,
714,020,768,291,164,624,829,270,708,527,191,788,769,596,794,969,293,121,737,
606,637,199,537,320,540,903,633,524,702,355,752,089,999,072,346,264,115,008,
268,878,165,710,734,255,498,448,773,609,916,482,487,709,108,651,910,433,095,
883,641,355,053,394,867,112,972,588,200,881,812,433,851,438,448,012,380,581,
116,472,960,053,842,953,176,243,351,277,052,749,009,064,986,898,031,617,343,
844,962,896,588,499,004,669,711,544,558,190,390,159,681,043,346,133,636,104,
038,805,720,313,660,070,379,628,980,373,452,148,674,488,194,076,753,968,684,
463,852,920,898,747,330,470,499,035,134,375,335,858,867,344,454,182,077,946,
968,044,546,632,726,501,879,409,244,226,508,193,128,803,688,800,064,024,011,
730,907,465,990,469,055,293,440,740,183,683,509,828,180,619,169,331,625,237,
021,343,769,412,673,129,930,627,880,443,028,776,487,092,619,868,585,937,789,
362,773,507,042,356,597,425,580,224,555,405,806,067,678,640,528,243,782,989,
925,623,463,383,338,720,447,590,488,319,424,966,670,810,987,920,108,846,007,
735,774,001,682,958,130,087,391,420,219,836,261,975,547,082,823,962,876,372,
338,817,892,074,819,188,456,401,137,710,706,642,184,954,214,865,761,746,991,
718,753,223,089,376,662,038,596,043,830,956,805,152,898,540,757,690,833,547,
633,299,600,664,149,763,689,004,101,202,973,415,208,184,268,549,775,615,764,
075,554,046,594,984,916,041,346,252,250,487,765,592,398,928,137,349,525,264,
314,980,452,286,573,404,344,781,501,874,733,456,030,254,628,147,497,562,536,
496,454,816,467,803,941,442,938,751,231,519,974,399,101,110,644,990,311,858,
093,860,498,133,590,491,334,079,245,243,109,486,353,060,811,062,156,291,822,
266,851,403,028,344,380,115,784,387,270,207,145,498,358,813,004,961,117,189,
172,721,074,004,021,504,845,080,128,259,054,326,001,174,419,886,072,073,188,
214,793,782,283,385,545,414,454,326,983,779,434,876,615,991,430,865,013,548,
357,233,224,807,943,833,797,620,367,875,655,561,716,631,037,650,130,611,131,
898,152,340,131,461,583,370,847,807,035,982,425,656,922,414,971,139,397,349,
385,088,221,142,011,132,013,686,819,805,928,753,629,390,563,475,388,660,797,
776,303,854,357,967,967,054,950,199,191,749,853,575,935,531,736,455,628,093,
101,371,330,561,976,219,519,625,907,931,819,735,837,747,785,111,523,954,364,
380,517,430,552,425,405,431,455,461,922,933,104,595,983,585,890,178,854,913,
403,244,493,775,445,025,790,235,328,614,390,473,465,503,830,396,970,331,925,
968,408,586,426,366,474,368,941,318,534,894,288,718,171,558,051,789,582,093,
660,693,137,459,497,964,957,479,873,145,198,057,371,398,434,531,747,425,023,
791,572,375,830,055,604,595,833,634,468,076,833,194,383,699,274,913,387,816,
989,732,234,074,511,919,360,973,442,857,575,859,565,936,015,451,276,112,652,
606,474,516,503,256,297,833,921,604,159,850,239,094,459,761,119,300,194,947,
780,870,295,289,175,846,156,935,447,922,808,740,155,151,672,863,607,075,478,
963,960,991,271,727,847,249,401,255,852,068,341,762,725,731,280,561,689,529,
434,889,074,508,429,018,843,707,484,413,283,557,641,362,724,975,005,654,147,
277,495,621,009,295,470,230,762,219,601,152,764,568,347,854,722,465,332,761,
878,873,754,377,881,502,531,843,021,945,456,776,040,166,730,897,524,169,772,
938,248,346,100,969,228,976,282,446,294,490,808,322,985,359,323,770,547,332,
579,709,610,214,357,943,937,613,506,581,150,479,476,562,301,513,093,092,108,
822,929,067,856,435,126,259,553,349,710,429,252,554,190,403,674,465,427,731,
894,656,909,552,901,242,364,552,095,846,632,882,601,074,854,449,806,051,820,
018,863,130,176,055,018,761,199,871,763,519,139,310,664,254,409,037,883,052,
154,701,291,011,276,596,096,179,835,716,560,731,031,179,060,176,688,212,485,
240,371,032,303,145,604,186,978,953,073,004,812,364,747,543,451,729,568,673,
547,837,003,707,241,598,250,281,914,247,703,051,905,150,490,568,037,503,990,
877,755,347,462,816,895,213,823,650,219,264,572,957,860,962,299,787,896,047,
950,902,027,216,885,075,157,906,921,308,744,246,788,602,008,934,556,914,039,
182,231,015,162,143,725,157,158,043,527,715,158,265,732,983,822,846,093,860,
763,435,639,597,188,434,570,957,136,295,812,007,997,060,817,353,366,243,199,
086,168,377,854,025,370,798,220,317,709,935,430,062,417,446,306,310,327,028,
641,506,686,671,920,485,832,552,212,013,492,800,831,824,992,942,798,531,579,
336,364,697,543,803,258,447,493,514,301,536,286,896,115,489,275,385,064,881,
008,603,514,065,988,699,875,318,367,722,417,737,201,184,449,888,660,945,441,
516,773,642,179,202,443,102,888,205,813,934,344,354,637,483,822,643,511,409,
904,646,408,860,512,264,310,980,455,686,957,880,087,180,779,400,355,643,403,
726,664,832,723,831,540,324,711,833,112,030,445,602,138,276,937,581,565,556,
156,991,483,591,266,994,034,774,503,238,183,870,608,646,931,327,519,781,184,
129,030,065,052,614,684,490,442,161,178,903,841,514,590,813,491,042,291,599,
026,136,272,232,938,648,302,636,469,682,301,696,131,933,530,254,928,654,703,
960,036,053,672,081,240,821,139,231,793,229,478,027,673,005,881,956,163,875,
939,775,674,112,095,824,126,446,179,310,795,879,681,901,498,873,154,726,849,
282,921,915,333,536,167,727,881,583,261,340,973,011,410,323,242,129,995,221,
074,067,135,061,624,040,369,587,721,439,515,520,743,150,628,559,988,994,832,
802,582,368,201,368,554,784,030,197,731,539,838,499,389,024,984,505,032,242,
082,945,217,065,586,087,204,810,532,529,496,148,647,103,244,539,337,512,944,
454,396,484,519,044,824,989,743,477,226,151,748,610,226,940,438,993,795,642,
383,371,681,980,838,684,116,988,616,602,301,812,857,762,941,239,610,248,726,
366,553,721,153,621,284,152,826,504,079,373,246,772,609,510,155,293,796,088,
255,970,897,006,901,217,183,200,931,551,653,098,506,514,551,917,214,662,831,
138,044,002,033,134,708,386,597,525,543,184,436,563,683,770,226,909,984,549,
890,765,536,971,348,220,140,091,063,355,319,173,935,939,040,551,252,311,459,
531,682,563,545,629,299,829,186,854,162,865,696,699,702,451,754,065,048,219,
399,760,679,127,888,187,414,712,802,913,621,491,563,862,514,303,754,850,285,
840,564,284,438,723,964,404,975,893,945,249,402,761,755,354,898,808,887,877,
235,441,594,473,465,726,318,754,433,917,146,005,314,873,185,562,252,848,857,
868,636,507,621,598,220,090,245,137,282,096,094,581,642,146,664,450,825,877,
825,049,807,342,592,081,851,148,513,567,485,313,460,408,273,203,327,348,189,
577,188,980,764,356,185,382,419,783,260,202,644,509,207,701,650,065,949,908,
858,980,956,190,073,949,800,527,081,620,155,908,963,569,322,688,268,112,544,
005,672,743,383,430,198,617,082,609,730,123,974,424,755,015,750,980,468,569,
693,293,355,704,100,540,466,771,136,712,208,080,651,846,349,840,520,523,920,
946,479,205,117,063,536,813,629,927,275,386,806,884,345,560,305,472,588,663,
031,123,425,203,428,972,883,959,284,578,094,376,940,934,640,140,675,826,945,
813,355,019,069,587,578,308,993,054,554,160,064,774,000,346,450,970,530,927,
180,015,172,223,304,614,192,832,343,561,074,389,848,548,014,595,850,947,543,
864,605,391,256,786,181,770,727,829,284,624,176,337,381,710,379,737,323,016,
394,695,707,796,431,956,597,540,308,526,319,621,125,928,970,008,824,191,572,
126,884,748,510,991,085,766,433,644,301,849,176,026,093,940,980,250,114,550,
317,664,565,616,613,188,256,275,602,544,220,995,983,723,950,753,183,223,008,
489,803,088,477,289,279,887,387,703,139,998,159,936,951,378,324,647,142,447,
927,346,711,406,081,207,826,790,191,596,972,921,755,846,098,668,689,848,704,
313,736,749,917,536,080,202,114,122,115,971,998,697,612,059,180,800,375,946,
983,356,445,784,752,752,014,150,288,677,014,171,701,156,712,733,336,928,478,
650,558,803,868,391,092,515,154,997,041,319,874,371,821,952,294,079,713,435,
450,302,557,768,295,100,846,387,395,514,752,932,345,708,793,719,722,241,661,
136,631,010,350,939,448,133,984,531,000,596,943,596,518,289,716,565,271,417,
199,874,292,365,092,288,041,411,798,565,622,183,645,553,492,745,056,230,524,
475,872,442,178,768,924,714,953,810,932,039,756,454,712,895,125,377,723,989,
409,232,816,248,315,752,543,406,760,997,448,621,485,200,851,317,831,698,326,
507,424,495,980,699,229,317,067,037,560,710,118,347,978,324,252,634,479,049,
848,757,537,390,936,444,042,503,549,869,899,275,305,161,029,571,362,334,275,
325,817,089,812,454,366,678,433,327,290,702,505,867,796,163,240,373,370,392,
987,948,199,797,032,293,131,208,326,932,501,721,821,264,351,352,751,668,522,
898,971,862,444,730,466,373,407,490,971,879,438,086,488,424,219,931,315,662,
280,106,930,745,881,552,890,336,433,971,657,006,529,739,104,860,139,614,984,
569,749,797,088,498,974,490,718,082,804,832,522,831,809,313,504,776,090,673,
297,138,147,257,865,669,103,385,220,333,505,902,055,650,836,546,052,863,578,
911,610,105,452,340,104,643,221,380,805,932,391,208,168,367,239,485,813,269,
159,742,262,340,697,042,498,068,930,386,468,731,756,675,465,271,885,775,086,
195,940,295,773,504,854,540,085,964,848,215,957,483,597,398,062,529,284,297,
492,042,172,696,416,871,388,896,691,052,477,403,017,322,956,503,108,630,983,
027,698,273,110,384,170,861,944,927,579,417,333,873,114,376,416,135,635,238,
400,455,722,948,066,742,874,563,286,106,299,559,008,204,216,922,015,035,676,
484,844,959,438,090,490,746,828,962,314,469,091,425,918,844,186,268,104,513,
169,248,541,112,168,849,444,162,018,324,773,471,919,265,595,660,688,714,328,
800,646,084,542,179,233,585,820,599,591,137,330,362,568,578,909,166,751,806,
055,687,648,577,176,622,721,932,881,311,211,787,972,731,682,046,007,567,213,
696,933,165,612,922,958,215,136,843,577,680,183,940,347,446,791,696,443,942,
110,680,983,966,272,087,569,266,125,391,660,956,021,063,298,225,544,698,347,
870,268,131,136,986,261,769,974,195,558,856,721,107,234,400,629,031,967,954,
887,937,364,206,854,495,630,072,712,543,229,134,275,964,704,152,715,751,290,
452,533,227,428,280,039,519,894,366,307,994,694,974,142,167,376,503,083,104,
384,336,988,884,963,815,116,270,435,250,800,181,227,970,494,663,770,598,868,
682,935,828,624,410,240,859,815,183,527,606,443,606,164,677,025,968,440,597,
996,259,171,736,697,272,726,483,997,997,324,377,175,215,988,884,606,697,458,
568,746,864,585,259,079,612,215,660,369,549,818,631,801,725,499,108,601,106,
279,046,178,239,522,124,989,169,695,577,430,052,311,272,480,421,688,838,597,
821,749,948,852,641,763,449,660,135,254,403,005,484,802,029,285,807,457,677,
949,045,237,143,603,681,269,917,395,568,539,706,575,661,020,330,321,247,808,
018,024,345,507,983,348,247,231,082,566,878,166,654,548,752,063,370,342,198,
481,276,382,424,479,918,890,351,055,563,240,883,681,891,152,429,444,106,740,
471,923,987,919,229,150,385,762,585,601,492,824,862,543,151,968,267,621,660,
427,954,966,549,986,932,505,267,070,080,149,263,162,503,957,666,035,984,970,
962,068,918,193,622,178,573,527,676,274,559,797,533,475,298,011,349,363,838,
266,285,717,373,595,795,849,450,214,045,390,691,583,294,574,693,817,747,994,
146,560,397,919,011,647,192,405,449,765,010,548,169,210,171,458,016,515,288,
126,153,246,583,901,142,205,036,127,663,603,254,177,055,826,456,766,622,360,
864,286,331,185,816,209,691,861,888,550,165,513,748,676,381,666,595,127,282,
657,542,153,652,279,470,810,578,247,760,495,646,498,405,919,082,917,660,859,
969,197,862,120,710,779,669,129,412,458,773,106,819,230,697,405,263,935,890,
558,919,652,556,577,186,146,310,878,683,382,831,497,250,344,591,955,149,817,
239,225,110,263,670,004,555,557,259,131,348,596,703,177,211,299,436,066,562,
746,540,489,960,982,437,848,502,317,678,361,017,946,337,816,550,251,844,158,
247,267,198,475,640,547,812,283,975,896,805,186,552,152,313,756,117,448,079,
735,923,585,027,580,451,638,458,538,644,296,742,175,399,529,404,276,363,958,
002,959,854,710,701,062,440,998,331,332,508,469,615,108,855,250,867,236,105,
242,254,049,736,676,019,600,034,287,009,376,543,260,243,342,779,477,336,410,
769,400,963,797,661,681,868,820,164,659,914,422,762,692,824,894,209,418,934,
192,541,437,924,736,670,498,666,198,773,652,296,008,109,980,127,932,195,905,
682,882,198,076,491,363,501,749,181,844,991,635,793,340,179,620,496,069,122,
271,073,041,275,735,621,389,028,889,438,745,270,609,860,254,127,901,799,454,
328,308,248,099,366,967,561,643,518,982,790,784,808,029,191,815,834,198,439,
634,336,907,235,527,852,989,758,735,874,612,298,389,147,268,044,864,293,219,
537,743,489,470,079,355,210,100,365,196,404,661,097,081,783,912,126,272,503,
875,074,448,054,379,080,541,800,742,665,530,421,202,771,173,031,155,252,435,
595,805,198,135,662,086,206,908,772,981,478,651,998,443,711,621,240,513,063,
736,390,023,867,103,163,711,919,078,051,124,023,151,652,075,097,563,172,652,
498,016,722,795,500,734,869,737,999,729,618,953,576,521,764,051,742,094,562,
029,000,912,838,956,805,493,102,589,414,997,475,823,472,546,971,874,040,502,
173,624,805,255,385,573,433,787,572,601,520,511,137,776,046,316,536,790,800,
748,280,190,608,420,585,808,550,445,610,636,510,968,293,609,674,785,539,197,
521,559,990,042,887,669,871,481,751,924,992,999,489,371,386,707,690,504,267,
225,565,916,890,896,541,701,577,646,062,527,258,415,723,968,328,998,619,504,
664,318,484,434,073,557,056,727,485,402,890,740,091,923,435,680,795,461,035,
439,319,104,979,234,069,254,197,943,954,849,696,342,553,710,744,497,325,907,
159,163,832,431,754,913,337,606,292,876,755,085,076,604,744,869,180,002,707,
632,036,817,710,581,841,248,778,316,693,004,669,075,003,088,422,922,909,119,
059,494,533,984,163,103,992,346,819,630,047,064,278,897,624,728,072,390,862,
720,958,431,110,234,505,576,708,806,955,699,796,320,854,200,118,215,579,702,
542,544,962,868,983,750,917,753,054,046,159,176,610,340,387,456,573,556,941,
647,208,204,154,947,985,799,718,197,506,730,243,761,563,434,420,958,024,741,
308,350,636,008,053,928,824,246,695,943,804,847,872,378,428,621,023,083,132,
028,832,431,057,144,648,418,305,672,577,635,578,798,551,176,640,197,727,533,
137,378,510,464,688,334,443,995,252,233,961,831,598,493,479,996,574,930,512,
405,330,318,435,256,784,418,499,389,463,062,395,858,544,668,571,077,800,558,
435,713,899,883,588,552,970,148,872,805,246,566,500,193,027,374,692,844,563,
148,670,810,184,594,692,347,266,229,944,229,795,215,777,025,384,554,113,299,
132,941,049,080,638,989,322,658,255,593,686,585,121,427,188,625,373,490,020,
900,461,883,089,523,218,456,001,623,582,293,199,659,449,330,741,757,569,080,
810,025,275,657,706,128,837,994,432,955,456,009,055,936,898,513,319,216,894,
455,586,922,366,024,396,840,468,079,928,268,197,856,573,732,315,078,674,581,
130,556,128,964,011,993,899,584,725,757,042,660,566,901,779,489,896,997,545,
013,913,034,305,573,566,295,366,303,450,605,869,572,809,419,785,103,200,316,
587,169,435,382,853,982,931,019,192,136,053,996,117,585,499,678,698,500,216,
793,831,299,778,770,755,155,738,241,718,433,912,101,308,907,925,785,062,032,
795,137,819,806,289,519,245,814,264,795,984,193,078,030,173,208,004,540,681,
519,983,225,495,265,831,836,348,638,645,808,215,860,625,334,960,925,612,218,
390,220,127,539,126,015,064,307,262,977,413,396,854,059,292,606,280,625,302,
606,782,130,728,046,474,197,220,025,334,138,421,311,399,477,568,492,836,859,
230,725,045,070,578,378,318,161,193,619,662,696,427,499,286,205,909,371,010,
998,278,206,728,132,399,012,476,098,727,184,602,801,910,706,142,941,183,523,
343,661,000,785,065,028,481,592,162,215,434,488,995,900,755,520,203,702,437,
098,011,513,641,983,893,791,000,067,471,970,701,726,758,414,829,382,449,098,
814,715,292,016,754,457,759,401,838,905,307,625,499,362,070,955,530,251,126,
663,501,515,643,231,327,229,540,018,100,093,842,232,538,791,184,125,982,238,
281,740,393,947,130,662,822,010,883,151,479,928,087,370,552,326,367,351,425,
732,178,179,004,939,746,029,800,177,594,783,958,714,657,245,271,175,133,189,
938,290,751,689,618,067,158,548,446,639,156,072,296,008,686,047,235,086,990,
725,270,046,171,048,397,033,356,878,467,945,770,080,141,788,176,434,780,623,
768,162,325,903,034,201,213,825,328,794,876,243,992,440,789,473,656,219,679,
927,095,693,405,490,469,887,352,006,092,783,069,621,482,028,264,459,555,053,
519,375,525,886,803,741,648,810,498,933,244,246,515,578,966,897,754,917,872,
691,896,565,587,700,416,196,848,713,642,382,487,948,194,207,550,867,145,389,
225,661,814,283,034,482,269,557,166,106,105,237,211,481,999,738,324,508,947,
274,232,488,299,080,306,526,186,996,696,478,358,382,884,439,074,657,277,517,
488,250,729,748,634,272,346,348,828,069,148,633,137,695,318,493,506,023,262,
291,696,207,549,437,879,701,052,538,570,722,340,384,495,767,598,154,339,398,
633,949,465,875,214,068,401,828,240,373,959,731,220,633,542,048,828,631,080,
886,671,483,228,144,356,838,155,776,201,028,422,961,184,244,428,249,684,200,
495,473,417,299,642,283,041,640,388,975,583,353,444,696,237,730,799,777,500,
386,412,064,979,962,778,160,525,971,835,622,478,082,553,442,646,906,623,305,
086,146,654,704,270,223,651,812,944,875,328,318,200,163,321,004,840,094,513,
466,613,523,323,713,756,038,728,069,169,651,215,951,026,320,335,442,527,228,
056,979,654,858,118,763,771,391,620,232,370,749,670,875,025,906,573,028,740,
848,672,096,091,647,562,907,200,950,227,167,025,995,489,996,030,890,573,890,
478,036,467,359,411,536,103,223,208,790,878,810,177,105,686,958,526,968,474,
890,875,948,893,413,284,214,704,228,129,748,496,008,766,037,788,491,278,280,
745,030,681,722,806,391,907,040,842,781,612,951,571,644,397,589,326,071,726,
555,853,712,272,015,691,091,455,311,237,568,032,516,346,569,359,692,410,805,
980,214,364,490,144,672,473,000,434,397,953,755,410,307,264,473,276,494,162,
008,601,208,119,312,974,454,370,531,321,170,804,713,779,938,484,245,801,851,
359,230,440,941,161,570,635,149,394,994,126,289,987,500,796,724,304,628,388,
825,813,295,694,023,530,254,530,528,408,632,256,865,448,340,864,198,014,348,
465,907,668,192,829,042,775,303,365,299,709,384,687,666,660,870,354,551,613,
936,791,911,181,981,404,068,033,138,383,081,527,348,060,685,595,578,017,399,
761,829,110,802,216,200,943,416,888,695,137,224,348,050,520,872,442,577,421,
704,749,812,906,311,942,699,204,740,171,945,448,630,498,508,408,874,964,638,
488,255,654,347,323,260,389,838,818,719,016,784,043,889,159,315,770,514,953,
505,007,195,638,461,868,005,161,799,589,317,973,509,669,640,461,060,154,778,
477,307,735,130,533,164,320,567,070,173,239,847,497,826,814,369,238,286,524,
474,679,475,970,138,539,209,208,527,491,590,212,944,446,779,579,907,508,446,
541,013,762,971,955,584,401,591,115,733,413,622,061,785,413,242,058,040,539,
949,477,331,943,681,125,879,664,288,739,752,476,185,110,645,603,416,791,720,
143,465,364,923,133,172,010,013,952,116,834,779,345,025,100,254,619,404,403,
877,762,019,761,423,280,381,376,283,690,312,915,788,799,809,639,626,865,245,
677,681,933,741,227,877,445,251,617,756,763,227,566,206,426,701,759,913,856,
092,897,157,589,103,247,392,833,824,122,029,874,486,275,618,484,128,882,635,
074,694,434,716,756,259,148,144,894,349,593,713,925,226,643,902,489,697,215,
845,588,408,022,827,180,930,900,783,643,221,709,765,601,733,900,692,899,356,
172,067,039,087,443,767,134,846,728,612,754,300,629,051,244,341,766,854,249,
753,462,215,779,840,929,803,182,656,497,790,910,529,030,289,130,136,432,468,
166,391,625,905,575,701,620,690,579,546,551,325,575,087,884,533,097,116,626,
055,325,015,883,856,589,406,271,224,065,582,158,613,313,801,192,292,329,139,
809,703,751,616,196,825,949,474,079,530,839,780,253,094,963,495,455,042,332,
247,063,562,859,205,743,564,546,425,870,685,004,728,102,046,476,412,696,700,
501,322,854,260,238,378,149,342,422,077,590,551,578,278,215,673,356,891,350,
229,283,337,218,419,270,687,167,568,563,353,275,995,381,106,231,858,043,814,
010,079,158,483,777,239,681,179,735,785,518,065,812,858,678,128,976,151,013,
214,992,838,767,675,913,910,106,779,292,510,886,591,266,054,500,365,144,377,
492,119,380,596,100,547,387,479,758,203,551,511,641,314,183,309,697,913,555,
194,991,830,600,711,943,736,634,086,513,304,928,882,955,287,668,254,814,791,
645,330,057,711,462,557,232,361,483,419,213,909,888,572,296,389,712,627,915,
122,975,504,501,651,320,612,250,315,515,152,154,944,525,588,054,123,653,020,
621,067,419,721,488,109,919,545,823,102,128,270,925,371,539,806,152,407,387,
498,828,744,508,450,233,479,447,938,013,052,334,189,872,203,246,238,585,873,
020,536,540,719,409,100,255,729,628,048,417,399,012,934,164,436,949,136,968,
053,208,013,861,274,849,079,693,405,755,107,056,962,159,999,790,710,002,217,
637,685,881,229,545,272,696,050,063,352,281,524,524,216,862,339,115,839,010,
338,446,954,160,617,526,077,084,916,956,920,865,960,951,948,746,581,437,016,
638,596,841,514,329,755,828,571,151,139,439,012,525,407,220,439,013,033,223,
767,770,945,558,656,390,972,646,252,332,254,826,069,895,338,774,465,012,217,
811,703,167,497,938,991,196,641,820,802,854,093,640,169,437,597,693,633,120,
888,185,564,878,634,000,463,939,002,880,971,755,312,895,379,998,368,382,420,
566,538,463,684,855,016,900,075,458,853,543,506,320,289,597,186,043,769,346,
729,039,717,938,089,803,753,702,361,758,560,246,182,914,779,043,071,138,223,
932,092,907,329,705,116,306,658,775,561,276,142,016,428,953,462,452,808,960,
942,744,065,379,146,348,876,789,294,417,945,951,437,715,510,478,835,787,711,
922,592,353,167,800,049,042,386,272,253,162,357,694,746,378,848,190,560,197,
082,137,045,617,153,851,293,049,360,480,075,865,909,728,870,877,744,468,215,
054,975,863,084,355,801,155,510,594,374,363,987,121,566,508,685,688,993,672,
286,224,263,287,836,235,975,226,976,350,366,244,583,580,918,252,354,018,188,
920,866,929,164,773,828,513,596,172,544,934,639,444,084,649,141,020,917,701,
243,557,714,882,891,038,285,009,703,721,078,121,324,830,558,625,006,254,753,
241,173,242,821,700,192,576,869,217,128,453,219,002,463,925,216,525,089,353,
441,228,639,967,020,073,974,957,940,755,192,278,734,213,399,039,519,903,518,
007,581,131,494,489,053,290,783,738,172,246,958,091,818,989,631,991,391,485,
750,789,481,346,124,665,331,705,313,296,180,871,754,057,575,938,892,969,524,
115,660,996,100,101,331,270,564,603,400,487,239,559,297,355,425,468,330,719,
514,161,616,325,092,814,613,183,714,389,530,273,490,591,128,886,367,586,334,
665,113,233,264,940,597,783,151,379,971,721,400,585,649,095,242,280,472,399,
767,961,703,609,891,494,945,679,618,577,058,389,917,072,804,389,280,839,027,
046,460,267,025,765,949,511,967,625,620,987,545,523,501,185,442,177,364,728,
771,442,634,034,242,363,350,895,977,095,780,116,999,220,927,622,029,173,435,
328,606,826,823,150,473,361,412,503,713,809,601,335,680,507,700,172,047,179,
908,450,574,722,799,375,398,793,321,138,951,594,221,182,639,193,893,324,112,
020,937,102,095,818,637,577,403,994,792,228,590,578,017,532,148,053,877,708,
432,934,090,465,328,519,421,888,927,221,856,099,301,056,636,183,594,159,975,
496,100,066,292,303,917,639,292,388,242,087,158,716,941,977,806,536,385,450,
598,043,996,104,431,431,538,418,534,365,914,552,806,903,820,909,576,771,263,
726,161,800,776,915,181,871,615,069,876,500,464,305,475,020,043,877,611,029,
557,861,413,091,568,478,183,130,295,297,623,158,553,482,802,008,132,607,681,
790,862,573,673,817,918,671,768,580,848,172,855,402,440,010,950,334,769,342,
341,788,737,087,857,612,614,197,346,437,035,447,732,744,339,872,335,244,844,
447,044,399,812,935,713,900,732,475,898,979,152,431,313,167,410,553,470,395,
525,628,499,192,693,213,230,332,577,045,651,545,766,203,962,118,442,991,458,
314,231,971,537,637,359,099,517,099,968,134,781,591,931,807,517,944,337,192,
176,148,866,803,362,228,402,485,692,862,740,367,583,347,661,842,406,126,893,
480,574,210,394,902,510,912,868,682,384,674,255,053,529,682,525,824,237,494,
293,540,159,854,630,773,790,006,236,894,979,188,498,180,100,287,271,262,063,
284,417,389,725,830,732,704,616,782,220,350,928,678,146,667,364,424,462,927,
852,481,927,779,390,416,025,485,061,761,852,761,306,499,820,142,666,332,711,
167,392,254,235,484,744,842,271,234,245,975,458,510,804,620,309,149,423,673,
254,918,385,455,298,595,689,262,550,081,753,721,747,857,068,330,204,627,751,
546,967,252,496,908,292,710,058,748,843,500,019,661,173,087,556,747,805,106,
294,977,204,939,468,533,155,222,689,550,806,818,600,730,548,406,918,238,320,
719,659,030,345,179,557,645,439,388,225,544,694,465,435,766,035,330,343,876,
015,729,256,873,182,998,975,283,008,757,845,306,531,962,345,143,446,363,507,
302,849,328,940,670,410,917,935,719,040,501,796,778,742,761,204,588,728,506,
039,592,788,181,511,876,334,597,739,215,039,557,034,983,869,993,607,208,538,
585,521,399,379,116,422,519,299,801,519,152,782,221,281,028,737,830,571,540,
452,528,052,141,376,907,035,954,814,538,292,430,891,506,587,249,206,101,784,
976,966,623,666,792,659,447,842,867,434,835,268,126,179,480,798,108,264,678,
418,114,448,204,878,318,569,129,257,496,998,985,300,816,563,295,155,317,861,
473,365,784,138,550,502,832,628,423,269,045,859,542,342,260,237,704,849,633,
743,853,119,212,185,351,865,885,021,529,483,869,966,172,943,646,929,018,552,
481,089,963,185,137,383,991,177,341,919,013,737,120,207,723,265,775,440,376,
921,625,866,536,122,049,048,597,779,377,775,436,378,593,060,601,561,487,742,
621,351,441,655,990,517,417,773,693,314,614,929,983,957,815,074,064,988,658,
157,277,264,616,232,432,403,806,622,751,437,486,311,998,013,087,362,761,117,
951,697,013,020,788,007,936,508,568,813,224,607,420,439,465,042,565,037,422,
791,486,841,089,510,116,944,093,742,000,881,597,992,096,715,074,377,523,804,
167,878,171,914,061,877,877,634,115,339,801,508,422,816,447,898,642,896,269,
187,224,489,723,168,140,618,949,190,857,696,288,963,106,608,166,471,027,571,
268,857,122,050,623,191,249,203,087,572,835,807,069,792,196,128,831,517,192,
442,509,560,626,314,887,881,020,621,870,516,175,173,595,494,356,305,328,713,
826,866,967,486,807,990,991,897,264,177,080,838,993,735,227,216,496,857,376,
656,339,050,349,759,676,273,557,378,054,076,852,134,793,107,908,750,063,561,
633,724,122,649,683,170,905,642,446,519,328,880,287,413,952,600,629,067,276,
012,192,548,321,540,065,161,350,713,191,720,551,654,461,418,363,351,732,156,
406,102,208,329,091,201,028,331,163,191,182,166,818,280,411,853,697,341,739,
073,601,069,403,264,335,353,857,172,906,248,569,667,247,947,434,442,548,457,
555,773,936,356,400,184,507,609,574,868,480,816,952,489,726,740,833,618,532,
105,851,931,182,781,059,035,711,447,318,292,640,639,676,890,582,482,110,645,
707,712,925,430,112,033,269,098,929,103,568,794,843,153,633,987,694,306,663,
939,844,093,482,015,112,230,274,419,242,894,009,355,750,156,841,980,859,138,
513,403,225,111,624,591,680,770,255,928,427,088,561,563,075,456,642,044,835,
364,829,527,618,518,972,209,682,467,267,560,291,051,668,689,487,463,111,796,
378,278,389,676,244,107,178,980,434,893,377,512,099,520,924,323,664,142,621,
203,290,511,931,374,753,209,565,331,469,379,737,824,971,781,676,968,781,196,
694,869,619,077,134,087,037,690,102,799,611,729,385,146,234,243,879,883,046,
814,324,350,367,123,265,753,119,682,560,894,237,914,143,302,791,268,281,331,
687,620,901,033,607,187,006,804,219,859,193,612,368,196,474,399,388,740,890,
646,442,442,264,898,419,236,894,286,911,613,309,606,938,188,819,755,866,113,
563,058,212,023,843,166,705,087,007,909,081,536,126,452,430,372,432,190,455,
844,036,431,219,233,816,434,574,113,879,018,197,216,291,978,435,230,859,420,
227,016,086,647,587,663,948,708,432,607,143,223,880,329,575,022,285,877,802,
288,998,659,602,698,120,079,596,574,073,985,006,498,779,822,721,619,872,265,
034,014,889,623,372,588,396,720,040,027,432,099,374,182,677,432,969,394,592,
326,416,520,395,511,925,436,954,164,445,707,878,623,968,049,008,723,115,291,
934,714,597,835,305,494,133,994,600,047,979,592,160,125,947,616,479,561,631,
233,707,895,488,728,308,893,039,619,201,820,627,196,917,741,097,154,035,546,
797,304,300,511,486,169,631,810,231,288,891,696,028,802,024,383,161,002,311,
435,665,740,362,732,785,176,508,022,305,317,562,457,105,211,178,164,625,938,
559,617,349,259,890,380,672,742,691,840,809,642,290,074,962,672,140,879,449,
848,248,138,714,603,935,382,102,334,424,041,507,763,490,090,089,088,000,927,
568,172,740,628,581,902,578,406,751,346,710,670,916,583,702,602,656,210,195,
154,367,490,347,884,840,440,182,229,982,296,883,085,927,200,967,707,420,395,
510,736,699,828,301,701,196,335,943,919,911,723,810,315,294,976,215,794,283,
158,919,323,534,437,720,857,215,062,296,568,486,435,429,855,426,358,799,423,
904,576,392,723,901,837,848,262,112,499,508,135,016,264,291,469,422,511,875,
187,159,567,774,166,327,829,778,060,904,466,013,040,221,197,707,785,226,480,
816,770,428,455,261,596,048,221,338,949,468,445,802,826,234,494,871,445,402,
608,989,809,991,551,781,523,181,503,832,917,005,481,680,065,989,024,743,396,
877,683,441,439,084,113,157,416,808,698,314,111,336,696,544,050,315,473,002,
246,569,908,931,858,319,152,073,214,215,210,014,688,258,850,131,496,852,716,
171,471,157,088,216,892,882,695,727,078,364,719,315,547,668,052,177,437,068,
689,437,802,040,214,285,351,730,303,132,938,360,431,329,769,989,840,155,032,
315,173,134,158,218,692,899,215,393,394,338,818,000,226,840,265,209,777,398,
539,218,190,222,471,562,209,483,758,221,481,418,884,028,377,751,762,375,792,
928,244,912,435,104,238,633,368,873,959,070,182,703,725,743,701,573,751,043,
384,352,795,034,212,778,266,460,986,205,365,348,078,113,242,845,807,595,020,
468,716,948,737,414,265,675,745,929,970,595,538,661,041,114,731,231,195,099,
420,181,275,197,240,126,135,337,517,151,586,387,603,738,907,633,737,230,620,
812,848,857,112,840,797,042,781,929,744,921,985,197,048,913,335,691,489,639,
486,598,585,041,126,051,054,271,937,951,267,333,849,230,374,129,402,573,175,
762,496,110,762,966,130,558,500,270,817,191,608,594,616,362,239,941,911,663,
735,886,244,193,523,701,632,014,432,244,152,617,881,397,002,797,328,271,055,
220,651,658,683,372,616,616,407,786,295,250,402,134,766,934,202,468,032,053,
654,881,430,386,166,532,214,353,875,340,604,874,775,516,424,130,168,368,856,
401,113,242,020,501,887,915,712,007,504,392,217,600,762,819,419,437,368,021,
246,693,561,576,670,540,667,445,263,721,294,637,055,635,350,583,059,074,044,
880,631,774,092,902,312,361,413,233,408,758,775,078,924,825,809,263,331,847,
480,548,822,344,310,815,948,622,099,035,319,400,784,093,455,260,955,229,561,
511,467,684,201,944,154,417,066,985,900,325,213,843,605,652,467,647,703,523,
218,279,494,624,472,614,241,700,337,116,643,084,921,460,050,313,697,177,761,
408,255,255,673,608,677,415,798,737,418,093,782,410,437,109,969,185,107,658,
895,116,416,602,487,857,201,826,559,156,420,600,954,221,448,604,738,156,473,
012,569,056,538,056,242,289,726,881,169,658,691,406,926,759,118,762,986,110,
060,003,297,887,488,525,436,037,641,091,054,916,892,244,100,285,933,347,063,
609,644,454,073,332,757,143,462,787,970,001,501,465,784,978,696,702,198,788,
591,020,134,764,399,446,062,051,023,254,574,155,960,084,167,337,591,884,461,
646,700,497,634,598,432,274,237,189,484,498,539,476,095,763,194,849,916,392,
494,176,238,788,196,846,535,379,471,086,432,533,776,821,474,417,359,765,910,
173,629,446,196,461,476,125,105,758,041,684,340,231,133,706,707,056,793,477,
225,101,177,987,672,587,648,202,063,294,992,418,335,728,194,601,399,423,573,
495,918,777,930,563,365,948,231,840,125,270,460,485,343,324,827,161,235,779,
324,529,541,772,584,799,575,380,133,853,027,087,855,513,029,083,182,785,025,
783,057,634,889,873,339,123,570,652,173,389,957,135,582,253,434,868,548,888,
890,955,914,512,017,422,430,737,356,242,134,185,907,751,820,050,574,954,848,
774,499,210,827,457,476,791,661,707,868,419,454,327,283,059,960,469,080,558,
550,010,312,284,507,813,253,256,876,703,743,684,020,451,207,295,624,694,027,
408,449,983,533,740,779,445,716,491,984,896,398,065,442,503,376,901,803,852,
897,472,459,713,773,396,626,291,890,171,887,406,091,140,369,653,247,329,024,
744,797,057,277,936,364,422,007,908,435,658,842,392,602,270,957,319,223,209,
507,001,175,585,729,443,700,657,651,379,561,824,509,827,170,788,796,888,329,
390,847,428,657,407,613,262,627,265,236,687,439,686,261,429,450,742,752,442,
873,534,548,236,752,293,274,858,314,294,708,775,700,438,281,378,280,696,442,
496,990,155,109,061,635,219,305,879,959,344,749,878,356,983,834,950,183,718,
233,834,469,252,919,872,442,803,020,809,883,136,271,074,263,435,967,665,190,
775,181,516,114,579,682,825,325,275,102,244,784,665,801,037,055,771,047,032,
170,863,089,553,260,358,182,106,421,698,326,719,662,911,131,608,005,366,239,
035,161,532,090,684,857,084,646,560,984,944,823,272,606,662,076,593,562,189,
701,281,492,910,183,737,475,012,890,410,744,398,118,244,223,726,904,919,741,
317,910,939,981,914,341,587,234,155,635,004,837,461,947,126,333,481,728,410,
625,203,769,588,499,193,309,023,345,425,631,570,434,669,633,464,306,560,180,
583,168,054,447,837,621,712,609,626,108,294,912,577,682,972,566,786,699,432,
928,841,423,621,071,347,698,454,657,667,535,395,910,894,304,536,678,467,799,
150,942,171,347,095,540,097,373,195,549,487,097,891,758,458,600,967,124,048,
633,290,509,955,674,480,387,676,235,931,099,098,845,960,964,150,352,309,301,
920,879,597,784,618,158,076,036,394,926,058,260,009,079,235,823,922,410,015,
193,499,923,277,208,475,033,519,195,816,192,203,049,396,719,288,391,977,629,
962,206,306,171,649,518,302,673,161,977,326,604,006,785,519,845,714,094,433,
722,177,308,583,690,613,479,779,640,891,259,434,904,306,532,127,468,959,796,
569,538,826,787,599,642,287,316,905,721,441,495,713,110,084,553,468,086,425,
671,962,913,298,216,268,134,818,578,602,217,513,351,902,146,108,807,013,653,
647,782,714,281,972,184,649,832,131,327,525,461,888,469,145,867,625,434,881,
266,798,982,292,118,523,563,985,609,312,258,549,007,367,127,093,351,120,818,
600,722,137,358,467,721,202,624,670,038,243,242,684,197,558,705,729,436,993,
336,157,857,144,855,474,381,285,364,274,094,064,367,245,981,452,689,930,472,
622,897,507,455,389,387,026,562,276,027,928,316,811,088,899,499,307,310,176,
437,263,281,147,221,150,806,473,805,746,289,232,856,360,575,780,442,895,079,
405,109,920,292,356,147,799,974,747,161,781,997,288,038,856,446,740,152,565,
468,575,660,816,324,746,241,632,451,194,268,304,407,812,715,977,742,756,787,
585,542,827,516,593,076,000,974,268,170,267,008,426,243,611,380,613,598,534,
496,154,101,557,329,597,760,666,402,764,096,524,889,441,684,563,085,099,496,
888,380,493,185,499,158,156,248,061,854,400,473,899,069,591,436,412,842,145,
937,710,208,934,943,845,864,917,977,224,909,962,138,621,510,981,486,124,422,
792,166,360,633,659,667,484,010,666,440,296,949,593,746,085,830,986,240,538,
991,959,170,062,417,243,310,072,695,774,128,482,713,871,061,841,303,693,551,
054,874,877,620,511,516,214,855,733,437,439,176,498,605,767,114,301,805,381,
148,897,348,212,086,040,509,229,710,991,017,443,184,467,573,941,247,763,600,
395,166,932,766,348,479,763,294,855,040,102,942,605,194,207,091,211,636,870,
206,624,060,392,706,051,484,483,020,214,046,555,251,420,519,468,919,991,689,
639,023,161,005,614,461,666,352,597,250,458,019,102,644,850,565,042,009,743,
655,017,939,491,167,087,975,502,461,807,944,530,083,492,682,693,514,415,127,
298,683,825,900,464,507,737,522,672,391,499,675,633,750,097,950,535,978,242,
247,131,667,285,196,744,367,200,377,428,472,094,027,249,609,279,525,487,659,
645,028,014,087,003,346,547,929,363,795,698,632,354,246,880,875,889,191,307,
829,644,562,528,202,408,277,280,929,065,934,971,500,699,347,476,625,456,080,
542,656,699,227,317,122,594,298,910,972,724,562,085,971,979,116,046,526,972,
821,028,779,649,852,886,012,519,493,532,152,427,402,088,916,705,353,855,605,
205,665,841,523,575,571,174,121,407,020,208,520,515,160,514,322,026,595,885,
915,325,091,315,723,073,829,229,162,917,665,801,074,975,279,094,512,515,135,
437,411,375,871,063,892,405,889,745,475,656,614,250,148,339,151,658,694,717,
182,742,439,960,619,597,593,948,187,014,661,241,952,109,190,037,743,019,079,
355,660,190,085,854,307,489,376,787,410,911,708,933,747,633,531,182,971,640,
717,099,581,433,882,425,730,461,202,131,981,248,514,432,092,121,747,407,447,
109,268,416,360,761,335,253,610,642,706,533,697,305,537,640,835,311,752,122,
550,477,562,921,857,563,269,959,063,628,932,634,204,598,076,603,200,732,112,
495,445,392,112,212,951,821,906,671,190,219,072,627,960,070,351,053,094,573,
974,209,773,139,974,537,106,905,001,835,222,275,979,475,191,550,496,308,180,
352,173,590,623,870,919,803,717,931,864,920,055,292,919,540,308,047,260,397,
397,127,671,601,441,185,110,437,175,310,911,097,717,152,989,173,864,770,526,
489,114,206,390,062,765,970,758,427,463,555,683,355,670,538,835,903,821,833,
678,318,584,861,876,100,931,736,299,555,683,205,899,259,858,066,934,449,262,
315,714,189,420,293,532,944,833,225,866,468,370,345,159,613,336,440,816,297,
247,578,051,621,462,169,134,759,846,810,651,449,633,939,652,185,063,115,050,
716,714,082,028,913,884,019,418,696,059,873,809,567,572,776,158,306,300,000,
326,997,434,529,500,824,220,508,917,053,313,216,016,068,735,082,342,392,236,
096,517,951,890,582,067,014,071,388,185,752,500,104,137,939,269,799,963,809,
765,990,370,426,222,476,268,523,987,199,789,397,536,454,154,237,205,416,672,
518,239,787,820,047,888,244,723,544,809,072,665,243,050,430,652,887,123,681,
168,084,482,104,882,187,658,027,551,837,197,036,157,600,703,152,779,452,121,
920,198,474,601,962,525,008,571,998,154,545,562,840,577,629,702,154,797,795,
150,219,648,383,060,294,358,929,413,463,311,323,484,537,190,261,031,242,381,
322,864,692,105,575,131,021,360,045,395,222,644,778,689,193,615,018,926,167,
186,990,227,716,564,685,154,480,887,375,780,704,450,322,562,593,665,498,223,
622,205,424,155,591,572,006,645,748,272,992,712,160,527,120,865,982,564,021,
842,783,910,538,766,866,018,385,159,304,266,798,244,958,111,592,967,155,356,
746,169,606,967,457,101,822,263,303,805,273,332,838,939,577,228,098,846,502,
253,502,239,868,080,211,550,770,697,346,163,740,697,181,105,945,121,439,983,
920,136,993,451,986,238,980,233,801,735,832,621,186,110,688,339,218,583,625,
379,346,150,456,098,464,786,722,065,549,950,779,493,355,367,889,418,444,539,
217,655,290,910,429,167,439,674,221,306,180,253,286,995,929,242,015,124,166,
879,957,074,391,082,952,937,607,812,159,324,226,511,328,003,723,836,210,541,
554,928,552,699,302,112,194,967,919,911,608,221,784,801,534,187,976,002,757,
036,381,911,020,321,248,215,817,725,208,386,623,137,570,497,861,104,136,462,
096,533,023,538,153,411,030,395,437,704,249,369,735,086,751,302,439,791,739,
276,294,566,046,550,684,330,689,165,080,297,611,744,858,753,375,387,093,999,
715,606,691,632,390,568,264,454,622,644,769,311,456,469,852,136,555,660,086,
600,800,210,505,909,927,957,707,722,379,897,850,394,968,635,085,722,471,579,
952,306,055,540,258,485,220,721,971,416,349,279,342,279,481,603,463,411,246,
215,899,886,829,066,681,650,133,844,242,085,928,614,436,790,905,873,441,628,
676,360,807,629,394,098,579,946,698,347,162,643,925,947,391,158,648,969,929,
174,375,662,775,479,576,374,573,671,186,614,679,617,440,644,685,929,174,260,
038,139,044,014,034,293,928,354,613,066,792,373,054,976,277,950,467,881,420,
706,933,135,352,996,011,383,056,599,510,308,676,454,116,656,178,400,904,711,
282,857,654,798,844,015,897,138,128,384,784,513,332,038,037,480,219,363,288,
707,683,033,154,635,786,486,381,324,031,732,679,303,067,792,450,034,719,118,
062,608,505,573,990,591,617,524,940,907,615,946,706,001,814,232,130,162,123,
941,544,482,056,109,269,365,095,013,277,641,736,688,740,558,907,761,829,963,
068,675,795,638,837,525,946,227,318,968,020,719,791,456,243,286,333,667,374,
383,210,783,629,342,691,357,425,830,440,284,655,285,314,939,183,654,365,513,
782,660,515,267,923,918,728,613,112,521,057,313,113,136,762,764,132,233,330,
528,054,172,598,224,786,459,782,144,160,951,778,839,579,472,891,320,732,108,
406,084,958,473,239,350,355,100,439,256,563,908,314,027,600,360,092,742,380,
630,426,482,778,010,301,539,810,578,784,971,588,943,671,085,568,832,941,928,
874,756,783,081,600,318,629,851,770,977,025,846,874,700,232,355,253,809,649,
430,194,521,239,141,408,869,813,491,627,317,141,277,553,289,228,226,297,428,
495,367,450,513,166,781,812,569,566,281,652,095,161,795,603,566,395,320,170,
039,332,363,882,794,131,114,676,711,029,052,573,971,333,436,779,356,441,674,
753,982,161,407,890,145,879,727,887,145,914,000,147,509,755,062,832,435,504,
855,264,463,637,547,490,988,895,890,548,227,468,160,160,159,473,337,152,455,
810,273,732,302,119,658,674,180,143,858,446,875,492,354,162,548,100,899,244,
485,407,748,895,068,501,091,240,193,228,760,386,505,561,136,888,820,640,285,
289,508,106,904,223,964,949,692,786,845,017,268,338,314,145,018,787,231,983,
204,125,538,067,538,510,332,667,878,922,351,511,087,182,511,533,627,983,750,
762,146,521,502,738,526,533,232,617,433,108,152,209,279,786,762,755,684,901,
906,455,733,714,645,716,339,195,660,232,932,395,497,982,901,060,316,653,267,
001,004,829,350,453,757,943,736,372,449,942,574,484,274,830,529,469,165,387,
937,693,618,545,071,329,683,992,833,376,134,290,025,791,666,483,975,136,040,
543,678,872,206,836,611,697,359,517,943,741,525,909,726,079,624,790,910,766,
938,046,919,236,719,693,677,503,930,252,469,082,430,108,107,410,223,953,394,
577,742,068,474,684,471,663,884,813,310,194,439,644,655,621,903,044,550,540,
246,102,845,927,053,787,648,564,670,443,176,164,863,815,694,643,318,204,669,
725,889,790,548,924,831,398,402,929,574,168,197,361,038,388,490,137,349,175,
944,503,881,964,488,042,414,325,998,885,228,281,142,326,064,772,769,693,692,
807,804,711,152,870,280,938,937,700,615,798,846,886,565,129,277,772,999,847,
310,173,902,271,963,098,729,729,816,413,185,769,631,056,089,798,102,479,643,
155,072,899,258,486,888,001,547,291,002,726,358,277,442,111,874,172,923,899,
307,022,339,896,830,658,543,849,314,030,338,836,062,402,237,743,466,242,226,
041,098,311,861,732,211,729,291,379,770,502,042,678,241,053,270,787,899,937,
916,313,182,973,868,108,417,489,694,341,528,754,709,011,562,175,981,971,762,
837,934,476,783,411,470,230,266,442,431,417,778,430,740,636,087,027,959,050,
573,811,203,080,265,810,454,760,460,398,733,862,777,620,731,173,148,844,322,
511,792,009,717,732,582,258,453,473,636,876,450,467,492,413,614,868,866,844,
054,480,186,514,248,001,467,612,856,135,814,129,464,711,426,661,148,134,724,
861,033,641,644,212,325,866,857,371,547,369,070,830,581,800,187,660,062,547,
489,708,748,165,962,156,139,348,696,229,112,459,216,367,411,450,623,707,943,
307,183,391,376,916,257,439,665,118,727,003,636,472,357,600,422,835,519,084,
075,090,382,755,133,511,262,252,331,551,955,691,670,244,883,340,835,508,795,
736,760,558,619,476,475,412,695,809,258,458,159,641,902,799,972,474,902,232,
774,975,449,410,066,673,294,901,130,752,204,367,032,809,418,191,737,141,410,
140,850,513,282,609,795,167,394,491,090,922,660,214,532,920,007,870,320,811,
733,847,884,190,882,288,492,251,036,776,024,369,432,264,016,829,299,053,442,
752,194,966,007,446,995,162,806,651,420,238,014,222,199,653,622,831,253,008,
115,030,776,762,983,477,428,142,802,773,217,391,343,651,624,018,238,285,860,
309,718,191,361,154,858,307,432,415,318,786,399,545,316,732,266,600,746,544,
183,870,340,102,927,121,171,215,841,562,287,193,332,815,685,248,414,262,701,
511,585,427,529,052,409,925,524,247,838,723,425,205,722,624,886,191,053,272,
385,551,604,482,326,953,649,542,347,645,490,467,682,370,616,443,675,613,105,
056,498,851,257,802,386,204,599,759,091,834,925,772,932,162,011,804,217,832,
695,809,981,083,731,199,123,076,764,862,180,593,722,372,195,144,625,453,532,
383,707,128,812,377,742,361,232,712,461,878,685,050,220,778,722,301,601,978,
403,338,034,164,838,800,848,302,360,255,355,785,727,908,826,673,348,079,885,
637,980,930,188,100,871,514,422,254,501,786,146,814,362,237,888,032,391,829,
536,940,100,651,782,238,878,703,402,346,052,400,913,393,694,324,727,553,655,
175,640,038,201,168,256,767,593,632,921,020,244,832,595,553,148,097,096,389,
508,266,374,226,663,111,476,486,210,023,796,210,336,271,136,053,304,439,690,
735,504,410,995,283,811,632,875,169,628,201,422,974,662,654,870,439,936,509,
242,243,174,410,564,434,704,708,261,964,225,188,772,392,533,308,165,371,075,
500,617,515,812,195,296,046,070,777,287,882,885,717,358,546,531,120,362,500,
841,547,106,478,848,319,862,168,164,068,894,483,587,837,814,373,666,847,801,
344,154,499,810,876,919,984,783,519,066,254,020,992,865,614,267,102,822,067,
191,462,126,892,952,120,888,530,727,220,016,340,582,564,918,786,058,140,298,
118,584,373,432,870,155,913,774,168,685,442,268,765,782,371,908,751,692,458,
349,603,993,237,526,509,358,443,809,741,556,113,972,027,938,977,171,464,292,
687,263,394,692,141,363,212,642,497,164,407,714,780,830,313,069,550,970,835,
504,382,450,405,449,046,227,725,405,595,077,526,933,186,129,071,611,713,632,
230,261,901,362,909,202,380,413,003,793,059,414,280,684,996,569,884,449,685,
213,061,445,880,797,867,700,926,730,557,545,619,030,592,416,498,345,532,506,
341,710,273,177,500,888,590,890,589,379,615,281,658,698,333,729,690,924,737,
646,805,773,654,512,625,098,971,093,766,524,030,244,200,173,517,950,630,975,
378,643,067,033,864,242,893,458,401,407,935,292,180,529,289,730,049,083,476,
748,408,296,874,676,014,316,777,841,557,116,334,831,885,959,558,582,150,377,
819,294,427,943,127,714,726,499,050,055,082,096,344,539,388,078,142,093,472,
020,691,028,251,584,233,905,608,963,684,673,702,395,855,085,478,585,613,463,
094,605,111,875,492,170,864,678,816,713,037,438,675,633,571,900,829,882,058,
972,966,244,550,877,412,020,098,993,857,415,195,753,068,250,796,929,161,892,
154,057,792,184,094,163,321,838,286,669,808,515,543,160,497,653,214,859,558,
348,915,306,319,738,924,710,085,166,016,630,837,886,017,741,955,898,770,601,
148,911,118,782,734,621,181,350,888,273,798,827,099,280,843,140,572,049,417,
515,267,093,973,234,700,994,337,826,743,825,182,941,182,197,794,989,257,123,
056,371,640,929,710,051,150,061,275,134,041,648,188,192,860,022,705,935,542,
452,175,513,652,569,160,820,044,909,642,398,725,575,662,773,221,705,411,762,
822,511,201,503,948,025,556,432,557,232,025,085,034,482,103,042,864,450,546,
252,673,895,934,201,639,330,436,573,788,861,655,583,768,634,198,114,955,538,
672,854,497,749,648,546,017,185,889,250,431,186,028,579,125,865,216,445,051,
744,682,922,439,979,124,278,416,000,666,975,717,120,776,296,092,082,428,309,
923,067,013,139,100,184,476,460,743,195,904,008,903,809,268,806,493,478,637,
088,824,728,686,508,228,071,096,427,942,768,666,228,755,633,182,808,669,544,
081,742,003,749,506,173,959,264,988,307,222,319,856,702,759,809,197,853,544,
288,474,277,836,519,904,103,958,775,555,923,138,798,609,455,791,629,737,378,
640,595,792,102,837,998,677,400,500,256,559,259,658,693,589,138,364,757,229,
316,911,388,940,493,173,712,914,625,888,707,899,946,928,618,516,880,296,990,
008,325,045,369,203,860,953,367,911,162,992,540,432,279,465,946,031,168,159,
308,011,417,240,400,628,483,931,064,204,203,828,081,244,037,932,926,678,503,
871,431,909,760,551,509,732,644,254,210,922,969,271,314,467,805,362,089,981,
313,449,966,117,252,823,173,609,712,096,221,331,399,629,093,298,771,782,647,
688,176,936,689,776,453,365,987,101,823,812,682,961,885,721,536,349,225,769,
325,855,454,648,377,302,423,039,062,120,210,444,804,095,431,545,057,838,657,
174,204,581,881,507,457,709,035,997,776,559,743,255,270,234,105,320,434,747,
637,574,199,898,323,393,370,706,146,355,783,733,044,835,340,166,400,814,553,
987,526,798,817,502,853,149,327,748,457,968,830,472,591,839,179,189,031,895,
300,179,198,876,353,402,524,155,091,370,094,731,479,161,091,912,671,939,109,
334,033,920,730,751,492,270,815,613,750,215,525,304,141,012,541,256,224,835,
905,535,785,329,486,695,944,760,381,427,440,298,265,064,985,739,871,302,632,
078,054,281,087,663,682,230,424,150,776,887,831,967,619,120,838,224,589,931,
782,982,190,120,655,524,307,588,481,010,507,775,214,218,829,688,780,282,961,
569,504,006,334,877,097,714,332,460,337,186,828,191,675,507,323,813,731,578,
114,888,715,506,755,836,352,564,575,852,564,988,837,296,631,543,570,552,872,
717,337,966,209,258,372,107,895,923,359,945,946,062,714,858,838,310,733,292,
912,843,618,506,762,520,746,758,200,140,410,131,202,883,341,672,271,089,044,
676,241,989,084,631,075,412,157,065,551,579,297,232,979,165,015,099,784,574,
306,454,250,910,134,643,441,309,358,439,691,664,616,223,761,598,636,547,362,
700,854,520,947,480,593,793,780,035,699,271,541,415,974,921,917,969,775,028,
248,431,478,842,102,455,505,775,521,434,277,100,862,900,509,018,445,106,736,
348,865,342,947,972,965,948,196,438,930,145,762,206,866,425,752,010,357,182,
280,895,318,060,074,601,678,829,546,715,740,640,249,242,211,175,849,505,215,
250,333,169,930,379,762,216,758,332,584,064,286,471,917,286,270,188,967,726,
532,358,054,703,039,737,297,087,242,703,219,743,195,771,132,021,782,506,183,
697,893,669,855,315,669,971,522,915,168,590,197,070,835,837,860,569,347,028,
539,899,460,230,149,188,322,193,087,027,407,228,293,494,132,153,462,465,026,
273,874,979,534,350,792,771,404,625,989,433,904,321,503,128,891,561,089,411,
771,492,948,426,790,568,583,042,226,736,191,292,830,018,762,353,473,396,975,
196,120,945,537,059,804,077,591,916,840,296,728,403,167,054,530,072,808,454,
660,862,815,243,488,173,213,581,921,919,243,407,936,349,399,149,176,834,424,
777,992,566,833,393,137,894,735,792,176,970,972,527,264,563,030,618,227,480,
555,674,384,225,599,989,205,323,227,783,340,673,204,584,700,377,128,687,807,
629,146,959,160,486,589,040,755,312,304,516,477,323,381,279,522,745,074,000,
763,888,511,905,573,677,819,165,609,616,971,157,641,116,022,480,723,423,042,
223,820,968,838,455,809,105,496,177,090,298,303,206,812,378,165,047,693,551,
333,735,767,635,861,649,915,705,793,476,466,653,165,969,148,377,965,284,568,
542,482,671,540,627,111,002,070,743,895,792,514,075,581,801,041,264,375,874,
155,182,290,896,145,450,683,600,260,485,226,644,157,960,915,711,540,484,755,
829,209,100,857,596,344,491,699,206,163,364,717,935,689,960,589,104,934,140,
166,407,249,502,520,217,088,726,087,539,478,877,065,672,917,649,234,519,067,
377,196,134,356,368,076,136,046,990,724,427,681,725,339,112,676,767,948,411,
565,354,230,452,548,633,868,287,371,869,702,718,664,011,173,379,775,565,835,
507,956,042,863,786,903,527,331,696,472,361,679,006,448,234,978,750,215,187,
903,309,470,609,457,091,589,772,573,437,545,913,044,428,766,852,167,852,143,
483,040,044,794,364,113,050,712,108,589,933,467,579,022,592,674,703,031,717,
615,179,160,216,826,724,029,152,599,424,066,563,441,382,968,545,230,606,759,
611,206,821,304,910,143,644,394,897,067,151,470,725,225,453,389,890,761,585,
176,979,193,718,697,195,809,097,970,394,065,967,710,084,281,394,852,678,556,
710,019,975,547,182,643,717,514,778,530,492,921,415,694,224,415,782,155,626,
357,299,656,490,541,108,013,621,360,138,790,908,501,004,446,403,497,472,846,
192,668,751,800,306,160,707,434,065,940,299,773,504,056,377,547,176,783,441,
434,086,705,422,990,377,004,159,053,233,443,918,275,590,440,420,387,842,831,
602,283,570,274,860,453,399,964,418,300,350,088,610,146,957,672,631,328,332,
047,103,164,878,738,821,126,242,282,757,138,112,321,218,802,319,095,141,657,
344,194,655,368,355,258,475,130,507,822,946,899,631,672,788,985,695,642,762,
726,066,182,658,491,313,783,249,883,033,354,592,758,469,690,993,753,202,095,
339,824,887,371,027,352,297,682,039,417,009,232,973,514,629,930,804,192,599,
873,368,074,682,045,140,583,436,493,687,161,809,981,271,976,659,980,319,110,
003,501,999,827,917,464,940,380,309,454,923,352,380,290,152,431,853,887,300,
405,989,464,810,122,422,237,280,423,285,913,923,699,332,532,435,464,337,817,
619,721,916,029,938,155,494,758,508,819,685,077,049,199,811,545,519,528,011,
037,034,361,176,041,908,879,001,165,924,040,200,001,786,118,483,243,016,284,
822,241,756,955,349,739,498,451,637,320,439,677,499,292,694,189,349,520,665,
609,916,294,094,516,974,034,504,968,236,893,706,816,484,769,658,197,010,797,
710,013,518,963,610,407,591,117,240,606,212,534,235,379,235,596,637,669,588,
326,325,977,600,922,787,436,988,757,845,178,715,164,019,287,610,788,908,732,
980,481,017,416,042,858,132,437,165,233,147,468,433,113,584,813,212,561,307,
391,186,897,305,426,585,453,083,640,395,608,177,439,047,839,611,711,248,844,
731,229,664,410,526,208,430,590,603,614,198,347,275,785,286,390,330,187,090,
550,081,418,650,970,074,758,669,808,776,557,783,876,447,329,466,597,053,418,
742,331,698,059,235,677,403,133,141,834,416,756,342,567,484,221,016,088,755,
661,891,540,887,790,690,228,001,859,476,844,362,923,824,002,179,877,218,819,
968,232,340,964,437,638,678,644,469,573,796,700,669,677,872,894,455,877,881,
130,834,048,454,745,108,121,780,367,508,936,289,390,728,517,786,145,722,452,
871,439,414,688,961,802,505,601,894,197,453,009,080,714,502,148,756,194,816,
809,548,999,525,008,575,687,556,374,827,228,751,600,303,254,343,519,155,240,
640,917,489,700,080,746,714,298,339,900,375,673,696,796,546,370,498,223,096,
850,580,310,613,487,702,479,736,770,971,377,235,792,556,812,960,072,463,602,
783,181,422,027,178,470,390,952,573,471,578,807,586,966,299,345,273,065,968,
409,200,717,739,389,916,603,228,612,052,968,613,107,914,722,426,503,798,414,
966,532,277,357,643,608,441,499,499,060,624,761,226,535,372,464,834,900,387,
589,208,094,773,037,834,928,350,882,392,994,407,533,538,209,481,171,110,402,
617,894,615,130,752,381,891,525,532,380,202,570,715,851,218,655,812,914,033,
487,068,134,173,978,468,239,208,088,778,730,574,233,670,729,899,333,539,402,
373,702,293,384,053,052,685,085,144,063,455,391,679,398,795,178,716,786,564,
861,475,468,431,956,466,439,526,458,325,179,133,670,102,291,942,753,450,746,
813,325,480,847,222,988,223,237,922,438,759,241,809,509,844,952,738,167,522,
238,246,573,752,736,458,971,845,684,486,845,291,814,784,674,386,176,824,231,
715,787,168,815,968,152,975,823,957,934,368,444,053,839,124,433,839,888,500,
224,807,457,890,296,202,706,627,916,789,590,430,303,631,577,790,196,480,531,
050,003,890,553,771,272,127,481,041,474,801,351,034,889,402,910,078,972,147,
174,760,216,103,241,279,851,845,810,889,857,269,736,662,608,799,983,896,520,
146,338,913,794,327,669,563,454,607,353,645,878,634,723,355,020,796,853,212,
950,284,157,144,945,243,359,405,630,491,962,237,162,442,991,437,214,030,367,
150,959,248,618,525,247,907,278,575,830,173,037,591,236,997,552,994,789,018,
354,031,040,434,827,602,394,860,482,162,234,008,635,495,318,960,798,450,240,
526,235,091,206,659,959,312,090,256,014,810,722,946,343,323,084,781,218,193,
172,328,657,595,560,608,988,000,196,885,758,299,307,067,549,640,879,083,047,
660,136,943,576,054,005,690,997,524,455,064,317,776,470,311,080,129,745,669,
961,054,654,904,094,673,805,155,310,101,961,712,113,902,400,001,089,507,433,
116,065,712,316,482,836,589,423,619,920,888,330,377,943,780,497,955,968,502,
989,236,373,503,167,304,272,208,799,873,566,174,416,234,613,180,462,807,021,
120,404,796,857,701,111,596,465,410,771,220,588,871,967,823,625,105,673,801,
447,812,516,373,968,398,154,235,657,005,160,161,630,589,488,418,490,421,755,
394,547,575,255,810,886,543,700,797,241,054,603,643,376,535,770,570,882,702,
539,642,720,490,391,265,534,535,700,228,817,242,627,693,764,558,893,794,194,
671,359,873,025,730,603,374,423,381,979,726,408,233,238,967,241,685,585,644,
750,848,959,784,288,631,661,680,868,102,203,061,141,088,695,805,786,185,420,
947,848,195,614,561,148,210,774,415,867,569,235,277,696,457,666,800,708,642,
106,311,954,408,980,454,055,699,254,666,885,151,278,685,995,917,058,624,605,
958,439,686,571,125,564,899,071,266,287,083,850,953,676,619,896,479,149,728,
402,572,968,985,941,418,625,265,032,570,411,702,357,718,771,767,753,253,157,
703,270,214,879,089,841,299,771,849,515,417,201,833,838,752,515,180,144,668,
889,766,379,700,558,727,133,882,829,076,979,914,108,234,214,899,575,695,012,
638,515,353,941,920,913,089,364,303,890,079,046,692,577,048,578,443,370,379,
549,538,332,228,299,460,951,648,355,586,275,076,967,591,150,891,872,341,618,
945,803,462,180,348,873,451,002,729,784,281,384,683,931,698,499,507,112,726,
755,737,595,493,434,203,408,469,877,096,567,264,731,103,791,523,269,777,594,
673,337,827,557,409,848,422,250,539,905,396,558,859,311,090,947,645,052,990,
950,830,723,294,600,086,899,032,602,096,476,505,424,826,882,153,731,105,035,
375,395,824,009,559,415,081,502,556,716,463,277,304,508,981,138,896,740,662,
108,754,475,449,889,957,696,948,793,372,952,329,458,597,058,941,617,824,275,
686,573,662,183,372,101,229,505,894,414,065,928,072,466,166,377,535,750,698,
558,806,462,696,946,377,802,634,180,526,259,338,992,584,241,366,599,768,865,
256,565,682,308,741,322,545,391,060,451,232,921,086,669,753,197,618,768,599,
498,802,651,819,330,892,188,236,637,986,629,750,984,716,997,431,225,825,496,
897,322,425,214,822,923,681,195,906,954,601,884,479,466,636,188,729,161,631,
292,593,520,930,436,653,779,122,472,852,938,331,239,459,473,836,291,274,418,
333,067,978,593,476,133,814,902,565,692,126,329,825,537,364,199,716,722,919,
645,800,125,068,564,967,700,641,321,539,168,990,606,936,403,262,495,167,106,
436,110,050,931,505,487,956,883,423,716,042,388,719,282,740,102,522,470,268,
134,076,602,133,434,112,948,213,795,611,058,999,261,777,734,284,409,076,459,
559,133,119,408,766,150,725,529,422,228,392,931,690,037,335,088,035,035,960,
593,839,254,341,981,411,377,871,554,142,646,671,781,755,784,452,079,258,650,
124,209,660,258,585,938,766,587,663,006,631,751,704,148,506,856,688,242,831,
268,974,541,943,127,176,486,627,610,017,519,636,002,016,897,620,432,639,460,
333,576,431,954,455,687,334,903,352,262,168,043,306,923,383,897,889,546,191,
105,711,152,874,197,052,515,644,589,637,487,201,816,537,501,193,347,527,094,
487,419,994,024,975,074,013,231,622,566,190,907,783,755,282,136,288,860,002,
234,507,927,066,836,400,591,419,206,484,723,014,559,072,790,810,149,089,124,
167,489,783,535,560,806,287,855,133,145,853,109,853,755,983,222,779,515,621,
710,765,876,008,309,826,333,929,505,811,286,251,186,815,438,690,323,083,525,
366,604,167,128,235,173,055,026,130,004,372,067,702,281,641,330,117,201,008,
645,730,477,778,637,110,765,357,558,823,105,836,342,628,549,030,491,562,416,
295,157,265,058,663,132,119,066,958,657,126,434,664,689,148,379,302,773,181,
847,917,566,963,357,101,004,061,479,853,930,777,662,595,441,062,063,257,231,
585,030,723,942,989,244,982,965,564,938,614,796,950,037,424,085,496,639,914,
838,914,245,183,522,234,990,556,430,008,432,107,747,726,740,875,861,039,127,
923,448,975,752,198,127,760,215,056,779,799,690,115,062,476,068,523,657,560,
182,551,925,443,105,553,354,670,355,871,470,174,882,707,772,497,161,281,287,
601,479,560,617,842,114,288,651,928,700,248,337,205,692,337,413,682,800,019,
014,768,895,650,375,858,664,643,028,196,837,238,218,562,146,699,214,593,291,
470,249,034,720,834,184,311,897,477,148,563,682,514,624,714,099,747,464,144,
531,367,302,716,575,843,516,945,472,273,174,594,870,112,115,444,978,750,375,
515,898,328,824,184,197,595,873,515,272,475,442,463,942,407,420,062,058,100,
888,420,480,181,821,591,275,231,448,676,412,413,799,467,948,908,475,497,384,
130,638,414,786,237,759,096,808,420,352,242,573,631,978,077,662,190,783,537,
527,511,485,562,071,162,993,375,312,893,816,614,138,014,005,188,378,470,840,
980,067,794,813,742,958,381,221,431,930,183,952,442,743,825,433,436,451,582,
276,336,736,000,876,254,487,672,584,476,799,253,456,706,977,479,144,885,268,
324,188,957,373,444,235,580,362,178,264,291,461,530,286,038,361,820,672,887,
557,386,808,874,391,391,868,092,135,546,463,665,525,861,228,513,023,986,010,
002,700,498,647,104,315,261,223,705,571,476,246,703,020,269,096,547,882,908,
739,617,322,073,911,072,487,580,877,127,714,596,065,651,061,650,152,504,395,
384,312,149,790,094,927,173,948,573,740,454,692,063,150,587,200,930,974,352,
073,415,465,557,818,781,812,336,520,346,433,758,375,050,173,059,003,793,377,
831,687,784,296,648,004,963,627,207,101,659,570,744,502,729,171,069,097,924,
923,474,043,400,050,297,467,753,435,874,518,892,000,137,867,799,806,077,940,
991,975,493,755,091,218,325,509,615,824,809,794,142,963,085,711,412,463,479,
964,545,332,668,485,374,285,300,157,057,028,638,496,465,831,507,261,237,760,
102,387,720,028,765,208,775,768,924,059,084,995,517,376,386,180,888,820,113,
809,562,105,760,225,773,213,652,052,146,649,169,960,463,365,191,203,303,134,
131,114,133,747,053,648,295,819,597,888,010,364,837,127,007,884,455,349,714,
096,967,192,145,552,977,977,258,457,351,531,672,126,937,215,680,419,577,063,
335,076,958,567,858,268,499,220,228,672,988,120,486,763,142,703,322,400,900,
885,322,681,159,131,070,916,341,671,874,107,711,486,901,362,445,034,467,951,
263,106,132,118,504,837,691,811,182,621,979,370,092,562,353,063,973,702,479,
239,753,818,765,294,875,614,854,266,363,912,664,139,420,763,163,894,103,679,
013,369,914,507,351,252,755,826,549,714,822,571,535,471,313,385,673,371,021,
273,015,170,593,363,436,568,111,882,349,730,262,064,667,778,904,816,905,954,
174,296,766,440,398,929,612,021,989,313,082,198,639,856,605,162,165,441,249,
503,714,002,715,338,439,686,050,990,608,094,049,362,960,228,771,896,654,445,
210,460,552,840,554,500,355,684,783,916,838,913,323,380,155,519,473,879,938,
784,619,177,191,789,506,984,014,771,005,680,406,325,308,507,586,929,264,984,
125,076,800,156,480,774,000,803,264,908,289,878,564,382,667,968,906,607,342,
072,001,716,760,826,968,484,741,988,129,654,775,377,616,105,141,964,691,753,
968,370,720,259,806,882,902,700,726,598,838,865,435,013,794,218,792,412,338,
725,073,846,105,904,535,415,571,281,435,646,210,459,541,103,421,420,480,664,
587,383,742,455,603,551,278,322,388,854,082,832,685,253,742,979,391,786,201,
318,640,776,088,388,628,258,026,816,058,676,254,922,632,012,501,337,144,959,
340,224,010,147,957,390,893,192,954,536,308,012,689,541,941,230,271,515,135,
159,412,593,527,360,616,420,118,105,750,900,434,870,588,121,636,674,514,057,
064,696,854,619,338,927,234,347,358,981,130,759,150,419,394,518,946,120,700,
867,237,170,855,032,814,869,233,668,683,693,354,588,936,056,069,802,941,286,
304,838,196,530,167,273,824,716,910,217,254,001,926,075,627,231,605,878,855,
807,817,716,145,955,526,593,596,865,457,157,450,828,045,130,651,231,277,187,
583,141,810,610,591,565,556,658,987,557,903,430,183,194,710,895,613,596,359,
791,065,457,624,964,015,732,108,298,641,101,054,913,118,159,146,804,787,757,
164,988,185,251,938,228,193,125,595,823,986,339,869,677,573,924,458,555,260,
944,926,526,174,201,019,492,316,179,142,184,425,469,116,102,526,485,530,175,
553,175,463,525,516,004,782,545,245,109,643,049,679,016,499,649,371,239,649,
510,593,351,500,398,624,878,811,379,340,208,143,546,742,018,755,389,627,416,
645,421,530,430,970,270,316,381,621,958,444,001,796,109,658,745,884,624,066,
608,660,696,775,821,150,783,124,776,956,759,706,443,707,187,689,238,651,008,
015,594,502,262,420,277,308,970,210,906,758,505,208,987,657,648,451,556,563,
422,051,999,824,890,437,439,042,706,189,260,815,560,109,977,463,299,079,401,
934,321,824,603,033,978,136,699,335,203,120,969,714,824,620,416,233,958,393,
135,195,945,318,765,487,607,847,368,703,664,719,966,670,921,015,334,653,774,
594,987,020,237,639,729,303,240,783,937,608,188,547,677,344,493,919,656,838,
077,606,538,035,850,593,344,470,162,554,229,788,393,651,487,332,935,891,234,
288,331,835,607,619,259,849,317,117,760,513,722,450,068,151,964,665,747,330,
907,353,489,889,489,022,506,150,841,826,787,177,278,124,799,501,090,886,709,
720,007,499,210,878,220,275,075,886,121,250,234,721,657,697,871,032,836,605,
276,925,474,839,575,565,481,038,495,176,735,037,889,010,417,870,082,743,435,
431,430,592,453,578,866,593,832,909,228,764,665,092,689,352,142,519,525,183,
325,418,228,270,181,688,032,932,843,071,394,759,710,224,961,204,473,098,292,
436,829,570,110,705,440,924,715,805,132,290,653,317,747,783,934,915,503,699,
239,165,892,941,517,106,679,877,815,258,256,385,611,130,965,698,448,640,701,
676,370,119,740,474,374,404,597,388,477,378,908,806,979,235,157,020,019,193,
781,768,727,248,454,082,110,188,954,401,064,157,280,933,728,526,237,028,817,
181,989,235,464,269,204,646,185,644,327,351,038,438,582,044,240,680,384,699,
946,478,394,886,753,824,027,404,734,750,104,279,526,299,440,932,492,808,563,
016,474,978,025,582,498,118,689,812,568,306,567,898,737,474,420,713,332,216,
151,497,715,839,536,848,251,311,073,994,197,578,307,219,287,110,035,191,939,
375,717,306,123,616,616,541,171,492,065,013,817,310,780,086,037,826,292,349,
375,514,030,536,039,688,267,578,834,450,600,989,880,593,363,814,861,234,409,
692,022,125,408,243,210,042,875,256,272,290,537,273,869,057,847,992,417,030,
141,044,316,148,306,365,530,441,544,116,360,570,925,061,406,982,771,811,555,
817,062,138,960,721,480,612,134,037,166,627,519,479,594,856,631,028,376,672,
771,420,659,992,853,030,336,342,880,886,778,053,731,849,929,936,400,032,692,
635,124,782,979,196,754,949,275,801,959,603,922,313,378,999,028,612,938,851,
481,590,663,717,842,575,768,160,635,284,969,164,535,340,864,306,602,081,478,
185,415,077,397,790,077,871,865,675,506,816,290,514,449,744,546,650,779,086,
638,703,900,377,353,801,746,699,131,997,531,858,846,523,558,905,974,699,005,
769,282,414,087,218,119,561,245,346,561,027,620,062,309,609,149,281,182,268,
142,821,079,460,792,757,405,117,494,351,431,998,142,636,858,278,359,255,897,
404,204,973,741,915,723,420,238,518,791,858,778,962,479,294,416,349,755,892,
066,610,970,789,154,841,558,859,646,581,687,661,528,116,028,461,100,261,812,
727,918,044,727,805,157,075,570,244,935,303,403,830,265,767,094,061,798,592,
097,763,426,960,718,476,708,777,826,891,696,847,524,599,016,224,479,241,113,
715,177,808,099,576,077,972,337,083,259,315,439,542,867,628,746,232,284,295,
620,684,378,263,002,861,254,593,411,953,889,760,459,781,791,799,255,187,503,
766,101,466,006,119,798,196,634,642,781,228,693,814,729,862,233,494,761,943,
928,863,962,852,805,947,768,826,612,796,953,990,555,242,260,664,309,096,186,
918,504,660,713,685,250,175,771,797,825,489,927,445,565,171,327,085,723,345,
499,897,953,025,580,183,757,662,069,685,136,441,079,266,809,919,628,450,853,
472,180,628,713,114,803,383,959,455,124,737,060,762,806,571,085,455,419,589,
000,485,481,654,309,789,080,731,175,732,981,144,463,721,376,883,436,377,477,
029,030,039,948,659,794,794,290,722,299,168,589,788,401,669,112,248,733,275,
726,390,687,777,450,087,538,956,838,442,965,018,925,706,436,698,344,506,274,
906,268,066,006,225,177,893,209,646,742,025,825,483,691,522,278,304,478,709,
807,759,157,095,954,414,524,313,252,719,285,118,821,613,465,748,357,289,944,
687,457,502,774,430,591,560,913,554,612,222,466,522,786,120,519,996,589,880,
423,335,014,601,239,282,250,473,439,817,834,032,865,884,328,075,467,595,903,
710,452,936,244,438,873,428,002,625,339,987,708,039,560,351,315,579,236,688,
976,923,718,140,789,897,977,651,835,485,577,512,143,843,344,458,967,787,623,
126,938,401,676,321,714,651,938,593,564,818,298,233,697,501,214,954,101,021,
050,728,011,621,495,007,315,694,276,691,086,850,247,629,177,111,374,515,961,
493,445,494,212,475,046,679,024,369,325,518,050,586,722,481,413,209,179,238,
696,644,686,974,996,066,856,134,006,480,557,383,836,772,950,164,260,102,892,
884,492,069,625,815,540,762,917,972,122,528,448,699,252,629,502,323,521,330,
358,409,343,073,308,319,509,581,953,444,463,418,970,499,241,910,986,305,735,
441,323,021,680,816,555,785,520,834,335,151,525,918,433,210,822,139,878,910,
293,324,338,452,550,193,022,085,879,880,940,267,684,225,013,202,247,029,813,
348,525,940,376,760,084,561,014,448,322,789,150,306,961,760,845,753,508,619,
485,154,712,123,682,567,922,451,470,904,942,863,484,546,170,929,990,686,949,
518,794,301,234,802,849,725,213,597,198,827,747,221,360,787,799,330,898,797,
165,151,597,526,618,555,541,998,831,882,596,792,452,301,761,681,276,113,278,
122,608,605,317,486,297,672,743,238,739,647,913,960,509,139,420,507,914,534,
001,313,039,751,574,280,768,105,405,563,937,543,926,378,446,699,253,164,323,
084,531,229,133,568,675,650,349,422,174,776,004,458,551,933,822,157,682,844,
065,155,560,745,839,890,309,781,739,170,642,056,300,673,474,022,029,364,171,
860,597,379,364,798,336,313,499,987,216,704,765,120,788,214,226,099,798,280,
397,482,865,054,117,531,743,433,544,762,733,109,606,571,329,301,080,690,285,
578,404,971,199,808,435,624,678,032,667,144,726,508,684,047,122,956,983,342,
987,463,521,203,509,776,200,110,128,563,539,541,599,397,666,909,369,595,828,
917,823,084,222,477,979,898,483,716,377,759,502,993,358,888,099,757,397,938,
671,169,481,482,075,790,627,880,999,531,745,398,539,097,783,718,697,895,355,
394,871,719,976,102,093,492,800,703,806,772,523,852,012,323,844,351,719,172,
378,669,895,452,071,755,406,747,904,323,844,917,502,719,853,699,246,094,567,
703,370,910,662,614,205,521,795,781,732,138,355,512,682,365,747,712,698,408,
844,822,999,206,708,092,594,083,901,537,782,190,944,551,629,028,256,091,448,
108,723,286,638,004,319,728,323,060,441,921,180,996,136,663,906,361,850,906,
915,677,040,803,947,849,739,563,133,084,931,952,087,321,440,187,330,405,225,
858,407,893,046,690,315,764,029,658,417,623,325,264,874,725,681,594,322,609,
395,189,542,862,303,737,151,161,969,692,931,769,485,810,145,086,533,849,797,
308,192,444,291,813,149,447,720,872,693,979,650,072,006,760,290,973,699,098,
072,666,093,246,471,888,748,539,660,658,893,709,141,759,196,604,155,600,852,
129,524,201,108,709,001,449,741,000,168,517,175,966,609,660,143,241,650,354,
389,851,779,342,067,395,237,416,349,819,483,933,114,244,950,781,622,975,368,
349,110,577,899,120,041,674,626,996,521,967,864,992,970,624,289,497,223,384,
075,120,178,052,585,445,668,168,173,511,957,237,553,153,467,850,136,044,017,
680,313,924,651,145,670,285,321,934,662,310,387,310,726,523,248,807,542,395,
400,877,558,218,844,845,286,145,170,657,831,191,749,697,960,373,740,732,338,
188,860,133,201,352,452,466,127,273,595,840,187,220,324,826,723,562,954,701,
725,160,718,845,446,640,371,075,298,574,333,194,453,092,728,452,548,342,082,
881,962,058,751,959,704,735,605,141,462,947,396,504,631,801,968,372,993,628,
670,811,637,095,014,334,298,040,215,767,678,556,850,008,803,181,617,761,029,
795,629,461,781,551,090,090,683,532,769,453,287,643,693,340,589,382,647,942,
711,955,593,662,119,477,043,137,181,033,306,632,105,625,358,463,919,117,845,
009,926,788,011,246,279,769,849,013,644,755,150,537,262,109,257,137,915,376,
417,898,635,138,533,921,199,257,990,274,246,106,833,353,178,246,769,980,601,
973,220,976,671,381,134,566,603,497,753,034,375,351,483,912,520,062,424,020,
621,283,904,423,330,594,836,663,815,365,203,939,577,436,672,221,203,275,120,
892,152,334,199,589,943,259,099,070,002,972,384,642,790,860,995,838,623,159,
308,902,073,521,610,844,905,207,607,800,608,522,719,979,280,761,441,298,009,
193,402,193,998,456,127,944,042,797,061,389,934,885,025,279,751,472,459,632,
660,852,989,181,253,011,880,705,436,263,846,835,709,241,755,579,166,551,562,
336,505,017,898,436,578,322,333,554,053,763,815,163,326,444,248,906,275,111,
826,816,762,182,049,023,700,551,441,406,361,276,262,938,092,528,324,130,791,
927,101,347,372,631,951,573,555,131,022,550,348,623,618,715,605,608,252,958,
489,186,970,270,498,942,431,618,971,687,369,209,940,771,182,457,088,871,436,
341,230,714,066,791,467,261,173,479,507,079,119,876,962,350,035,459,281,467,
368,862,712,910,714,553,833,651,595,424,544,076,187,183,870,526,969,555,525,
777,043,208,342,136,426,073,544,093,107,067,576,376,847,203,453,910,075,548,
889,674,501,919,815,765,212,369,687,651,206,800,047,619,637,482,778,496,106,
410,582,271,526,376,909,702,393,141,033,715,052,601,411,214,647,995,429,827,
911,846,932,905,330,910,001,769,501,244,279,788,734,742,723,628,076,331,304,
543,740,613,424,168,760,386,484,384,996,122,036,578,052,411,299,280,181,047,
544,836,142,635,664,206,268,633,044,187,810,195,888,864,106,202,886,624,404,
804,542,104,715,036,315,253,020,593,172,885,616,595,450,358,247,874,899,795,
694,018,657,352,137,312,395,408,955,401,617,400,474,988,757,791,192,142,267,
631,107,233,565,100,144,530,392,017,738,601,354,835,520,743,293,853,853,710,
326,358,481,016,434,978,204,760,155,674,944,052,797,301,465,216,191,045,367,
778,940,905,934,435,266,018,543,929,010,797,951,063,144,978,019,690,553,469,
191,784,174,478,222,469,933,104,375,074,387,062,571,596,453,430,086,097,147,
165,582,171,398,411,942,888,408,392,987,378,258,380,618,819,955,793,310,137,
944,973,296,764,932,001,308,699,531,068,008,798,548,522,792,689,207,493,404,
639,361,264,960,046,578,654,570,789,893,146,095,934,785,961,000,294,060,450,
185,553,416,142,736,800,683,507,987,568,475,463,013,700,093,319,731,894,149,
507,513,371,222,575,646,285,811,497,565,933,110,985,843,997,380,267,112,240,
609,746,278,367,344,211,273,824,663,762,417,781,841,557,345,671,880,427,994,
768,026,126,890,734,724,230,366,455,007,946,053,492,236,207,828,336,089,852,
356,434,733,307,213,966,494,998,363,872,526,355,153,852,233,648,223,853,394,
602,298,686,377,625,607,464,494,041,449,251,077,364,214,521,108,030,071,948,
380,781,028,513,888,388,281,175,519,167,377,281,081,467,547,106,172,087,826,
188,321,097,140,086,294,186,186,241,282,771,129,874,576,989,411,023,837,482,
864,822,188,642,808,681,455,789,524,501,982,299,692,445,899,116,940,835,188,
222,567,749,982,748,139,043,855,302,545,067,003,983,698,519,257,476,220,223,
131,688,759,120,712,504,810,276,174,282,756,382,636,158,022,575,647,512,786,
586,933,388,549,360,649,742,360,489,155,309,810,927,453,001,088,347,810,410,
744,548,070,729,204,076,330,476,354,383,116,023,215,879,512,413,103,170,651,
714,213,579,711,057,158,125,468,091,432,297,378,143,032,040,053,437,112,876,
303,017,499,295,578,472,141,865,097,441,810,382,148,498,376,991,229,009,409,
037,123,036,064,616,679,228,981,499,102,928,190,904,035,765,784,356,838,379,
043,633,516,983,552,099,490,215,747,754,573,278,926,051,470,407,483,825,138,
931,865,494,480,281,163,170,168,759,970,176,956,115,206,895,372,796,011,514,
727,914,205,878,445,131,115,112,596,512,803,355,198,609,011,262,755,389,463,
714,221,126,409,136,779,565,835,494,398,727,812,347,954,752,709,232,161,529,
919,352,103,414,487,357,223,207,656,536,764,392,733,091,735,526,346,027,158,
996,041,389,811,233,560,998,973,871,897,253,446,458,529,375,112,310,364,760,
037,928,788,114,700,638,586,284,286,585,358,586,708,345,923,757,107,323,919,
387,198,458,055,027,466,006,430,246,000,969,203,032,002,665,464,240,187,009,
596,416,657,887,008,674,347,144,630,682,235,055,269,665,659,019,732,909,471,
927,546,572,830,640,515,028,826,645,176,279,312,087,328,908,609,641,076,021,
451,424,456,271,110,683,593,765,442,182,785,043,395,657,240,902,781,286,060,
317,065,101,500,672,828,490,468,203,288,153,289,317,556,583,977,219,987,249,
661,599,354,630,443,771,044,368,594,077,002,459,170,880,957,384,410,661,625,
456,399,654,214,549,505,614,039,548,732,143,323,894,345,000,123,668,925,992,
149,889,855,586,089,160,448,747,601,679,486,491,951,131,631,178,293,938,694,
754,389,356,350,795,126,335,112,370,606,503,134,741,074,142,128,479,147,740,
035,631,031,220,603,743,375,473,965,399,668,304,064,504,748,583,211,580,900,
806,217,690,021,395,353,240,996,724,638,752,526,157,105,759,152,250,957,925,
168,155,863,544,856,661,229,214,879,314,469,279,785,092,528,737,591,448,884,
268,633,584,652,437,837,821,489,469,964,900,374,075,746,344,781,294,134,358,
518,360,576,252,794,203,436,428,946,833,346,325,685,679,241,542,191,187,420,
634,231,012,091,165,999,464,589,573,952,211,796,704,304,505,272,260,395,677,
531,080,301,590,889,801,433,347,345,362,667,889,530,646,538,201,247,767,063,
996,696,076,832,437,629,325,958,990,903,079,573,600,213,030,528,774,404,586,
648,383,224,053,407,214,930,612,615,014,901,454,145,029,746,127,307,149,443,
697,412,964,009,111,363,789,434,084,999,449,459,532,386,918,739,534,935,254,
726,613,007,776,441,572,472,284,609,291,573,289,381,458,966,823,051,376,899,
242,514,163,275,684,918,490,466,570,663,843,903,231,174,447,102,618,156,643,
415,597,178,213,575,975,683,195,301,463,288,939,402,837,707,262,430,444,387,
020,930,006,699,930,937,937,046,477,595,453,850,973,576,208,127,028,788,507,
248,068,729,597,327,816,562,691,857,810,422,021,286,732,653,460,537,075,934,
241,352,794,858,457,509,465,908,337,530,057,753,659,370,779,630,056,522,256,
311,389,354,975,120,016,159,164,869,232,400,959,611,923,592,100,267,586,198,
475,255,264,469,768,511,389,496,787,063,449,714,020,071,809,325,031,889,345,
429,289,818,812,353,807,791,850,933,371,903,327,203,368,642,776,762,505,500,
426,236,777,587,153,479,593,730,842,505,406,442,380,663,657,957,038,235,969,
392,646,292,323,635,445,023,934,026,955,051,402,858,786,966,708,440,822,179,
087,366,201,251,888,510,379,016,720,521,531,886,788,374,780,538,567,124,157,
051,189,772,473,017,057,202,422,091,822,142,579,832,027,233,295,122,552,361,
623,042,984,932,869,934,596,081,838,505,761,966,007,292,512,268,700,781,788,
448,171,635,931,189,118,084,908,597,671,035,143,298,132,322,206,446,445,265,
039,963,829,219,744,857,848,007,099,998,046,534,041,668,596,697,828,143,633,
184,298,286,399,676,577,034,787,759,879,967,971,220,502,906,844,581,312,020,
235,721,666,528,440,973,713,150,933,737,255,941,108,235,709,791,033,334,730,
661,731,171,371,635,938,004,327,074,312,602,029,323,575,145,594,707,029,924,
978,767,155,430,563,733,010,332,797,400,443,955,964,937,596,648,669,389,630,
903,476,362,491,676,363,067,913,289,264,600,171,623,616,820,261,758,530,566,
912,725,133,581,617,880,684,921,252,343,892,732,389,587,641,127,989,638,567,
775,148,807,810,219,511,809,946,141,411,083,867,667,933,172,620,391,137,007,
481,488,135,964,600,088,150,356,554,041,754,424,845,210,499,621,781,211,838,
647,256,139,252,869,365,847,114,525,066,024,009,528,937,503,414,401,835,316,
708,050,533,569,472,823,839,121,532,805,686,907,057,846,025,973,188,441,650,
023,381,037,426,161,506,273,716,792,730,716,848,181,486,006,498,396,687,853,
068,625,868,747,005,472,182,238,827,038,273,599,980,834,857,628,535,040,148,
732,057,511,236,968,872,892,861,091,157,411,329,426,278,224,640,965,917,386,
570,076,707,094,878,959,796,304,275,523,444,240,369,580,525,027,995,031,378,
416,282,325,035,324,140,992,304,808,329,003,530,596,430,890,127,543,234,813,
038,044,853,946,528,894,166,443,540,524,600,969,589,508,816,906,052,456,014,
608,145,406,127,354,995,330,659,559,598,774,227,601,391,708,731,139,966,549,
066,623,369,734,162,876,208,531,698,050,775,137,388,461,212,304,843,782,038,
886,409,327,495,108,271,314,395,373,712,755,285,375,408,533,216,522,789,269,
424,396,488,365,620,736,798,594,135,478,335,538,013,269,183,814,725,942,767,
601,022,740,923,390,619,336,345,538,994,322,245,867,406,897,976,892,859,449,
498,680,740,743,668,553,000,493,703,495,842,807,036,039,332,908,437,064,195,
803,291,231,639,585,350,662,586,075,109,836,881,527,179,612,376,373,680,024,
399,393,878,312,477,681,939,761,694,815,382,530,703,830,904,089,502,740,497,
317,568,560,237,579,022,026,387,315,901,293,370,003,400,735,403,610,551,751,
109,333,763,633,873,532,181,951,944,936,872,434,699,363,740,038,705,903,286,
815,454,197,216,583,305,396,042,475,248,322,152,388,434,750,575,063,614,652,
660,303,270,147,623,798,676,854,064,717,155,260,210,006,116,521,546,655,695,
680,793,055,421,688,270,886,785,511,504,686,027,778,206,051,918,282,123,697,
284,924,977,153,453,979,705,914,336,946,148,237,848,154,023,397,337,638,320,
493,222,637,417,742,276,023,626,441,763,609,542,867,642,089,059,447,055,721,
488,805,897,276,768,428,025,902,944,417,184,466,567,630,872,500,202,837,504,
126,463,642,067,287,204,586,151,607,718,113,164,595,614,567,275,388,635,007,
683,553,692,576,344,808,996,201,481,039,439,950,856,085,476,473,560,120,036,
594,135,447,670,985,496,710,878,696,324,456,048,745,063,517,270,452,006,587,
280,377,400,812,829,630,201,343,292,373,072,509,617,374,952,649,979,988,235,
785,756,073,746,150,215,398,241,800,316,426,957,876,169,071,660,654,425,361,
302,877,495,882,252,723,640,033,480,376,213,630,741,888,037,681,388,451,719,
944,685,800,767,079,995,328,410,098,391,085,644,100,435,237,858,035,998,367,
324,329,605,137,135,828,186,818,279,097,120,580,115,922,376,640,673,338,045,
730,575,941,722,974,968,496,532,342,019,783,327,453,440,843,321,703,130,254,
217,992,838,972,308,083,961,035,455,873,649,811,096,084,734,977,052,880,734,
109,780,084,198,687,656,255,359,162,921,084,527,210,573,290,841,386,184,531,
104,407,462,543,731,303,599,070,915,714,901,144,054,254,014,512,679,978,710,
510,125,639,364,833,503,279,601,203,542,581,851,219,902,308,172,664,504,474,
965,132,668,214,635,745,451,233,574,279,952,619,417,196,019,814,716,901,714,
529,153,584,387,572,050,134,206,211,718,775,992,387,544,310,310,184,541,572,
872,588,535,013,613,417,228,660,174,537,349,040,226,826,895,802,151,738,993,
944,511,758,424,793,429,632,712,015,854,125,542,546,836,636,468,697,064,191,
517,341,705,838,691,979,795,721,511,500,976,533,984,246,362,280,926,913,373,
237,446,508,047,454,559,648,727,742,293,741,262,416,017,113,717,850,132,490,
821,041,424,505,744,112,205,726,980,757,422,301,478,912,309,407,086,941,947,
986,951,343,090,051,165,083,637,293,986,470,071,375,945,091,252,744,280,318,
142,500,082,946,957,865,751,189,288,669,801,121,731,259,747,629,130,869,308,
836,108,677,944,782,230,059,566,437,044,241,201,691,931,262,373,502,148,032,
658,884,517,141,503,622,033,017,596,092,940,451,583,250,588,785,016,708,714,
972,351,411,200,944,795,146,354,238,188,670,316,222,238,503,892,543,415,666,
879,542,107,966,491,803,499,130,645,827,144,595,928,039,323,597,345,207,837,
028,863,286,412,515,255,890,302,486,073,434,009,008,834,384,963,908,531,085,
051,844,034,377,690,941,146,927,587,769,173,231,594,263,074,186,113,525,028,
573,323,447,670,237,229,979,203,015,782,780,407,543,500,546,110,335,502,349,
458,109,272,475,642,599,052,602,757,064,536,761,986,841,019,695,582,698,047,
327,381,062,397,493,846,102,554,799,632,479,954,548,231,817,944,714,215,554,
703,932,429,986,235,165,743,372,170,568,229,732,984,041,501,303,104,471,280,
405,670,651,044,222,003,065,792,873,865,242,437,335,237,674,446,193,877,736,
830,841,313,769,600,026,067,235,372,236,336,804,105,780,664,786,365,689,103,
323,120,604,614,954,356,725,887,903,218,469,424,735,259,243,612,278,396,787,
051,000,233,773,586,089,339,810,998,925,220,045,459,075,967,168,428,823,115,
338,611,424,564,772,809,521,990,314,246,040,975,141,613,632,550,987,928,327,
824,773,616,343,051,864,310,304,748,450,690,076,588,794,205,613,857,783,675,
161,796,229,828,465,452,549,381,398,293,374,709,475,400,357,558,842,072,186,
264,386,339,240,649,476,860,880,835,157,715,086,824,525,876,524,158,945,355,
168,676,317,982,180,694,512,873,453,185,153,873,931,898,245,603,773,628,220,
030,838,856,039,461,769,391,613,992,790,687,274,839,611,261,306,681,228,580,
614,915,137,020,430,113,477,165,864,951,733,179,238,878,691,326,824,094,752,
046,851,965,326,220,009,151,895,103,212,061,968,578,437,708,970,762,683,878,
794,947,762,459,842,339,775,323,892,695,678,466,323,585,820,352,915,931,280,
415,469,723,678,175,819,584,827,528,286,330,869,356,194,525,314,526,013,662,
318,675,480,733,634,908,835,214,269,682,959,066,335,749,717,347,353,752,047,
860,746,759,207,103,847,429,277,432,148,928,405,050,288,946,692,753,327,186,
434,084,518,220,377,301,814,698,572,010,875,932,785,041,848,612,450,791,141,
674,215,048,021,895,723,713,204,490,518,928,852,511,945,332,220,857,666,176,
330,103,696,630,771,369,985,947,986,136,761,565,365,566,871,859,449,575,301,
762,849,693,703,992,971,746,998,789,244,343,371,318,439,726,673,555,899,817,
217,770,685,638,741,806,414,793,004,639,548,089,299,835,777,638,914,788,768,
434,566,782,057,160,991,894,314,365,946,996,292,201,825,513,042,317,249,816,
664,935,916,551,308,202,632,174,747,575,740,586,264,626,643,485,021,300,555,
415,723,892,947,578,858,483,240,334,652,776,764,377,124,543,631,118,073,469,
382,035,212,763,732,658,228,741,775,910,362,215,152,002,281,452,350,790,923,
774,435,823,094,038,443,189,536,326,136,935,514,076,342,224,479,146,074,060,
544,700,325,696,724,835,441,669,233,005,474,923,149,819,320,990,273,327,349,
484,772,406,062,416,944,083,988,185,185,160,557,095,387,624,228,032,452,849,
392,375,585,824,669,962,784,392,424,865,687,452,509,596,069,004,853,439,099,
818,946,038,294,153,935,722,328,748,469,268,586,267,180,440,506,943,493,288,
974,831,092,465,114,527,919,255,047,684,467,586,593,931,465,914,881,459,930,
246,886,018,923,989,927,778,383,615,745,632,408,770,267,581,354,903,790,597,
550,156,097,967,190,481,319,622,122,861,813,951,067,491,281,569,578,431,695,
756,989,284,192,183,236,571,457,635,488,812,280,165,171,161,574,384,751,610,
097,752,575,767,714,944,906,008,499,136,285,123,981,226,061,261,462,452,320,
836,970,340,765,619,664,101,688,189,753,180,303,789,499,782,597,227,606,415,
543,921,341,346,359,560,039,968,219,797,128,133,301,585,017,996,369,477,264,
854,534,729,913,908,884,293,795,766,029,435,383,205,051,253,479,242,272,103,
706,744,173,604,531,672,043,986,382,757,482,154,196,180,971,957,946,230,016,
747,878,344,540,094,975,358,230,090,280,960,691,968,518,861,548,639,585,662,
928,247,682,995,315,758,574,070,821,071,784,389,560,971,388,741,390,256,825,
658,561,202,654,512,458,354,525,413,663,799,679,855,965,863,937,559,895,453,
429,033,412,611,579,119,821,553,109,916,912,895,268,360,384,324,517,368,453,
010,975,676,686,248,740,292,694,854,324,959,977,933,543,763,177,786,574,535,
330,047,057,557,375,737,074,872,823,094,222,145,025,270,363,883,521,686,155,
276,310,152,240,755,369,728,684,009,213,609,459,858,908,159,104,667,975,152,
663,672,005,653,635,627,496,108,079,610,348,499,040,157,778,366,487,124,084,
944,649,639,180,570,669,896,588,990,513,391,981,375,852,115,875,013,047,673,
639,880,780,197,717,345,802,413,470,370,354,429,120,769,557,851,157,271,728,
787,366,720,751,175,485,136,621,288,709,556,262,349,478,971,871,318,104,615,
094,509,068,613,107,393,673,095,902,890,509,715,910,070,640,031,160,234,554,
515,887,779,399,742,860,105,061,201,292,210,452,512,630,524,714,972,938,617,
373,871,918,874,508,405,062,220,706,399,534,815,972,663,459,308,781,117,428,
626,000,806,006,525,328,225,062,388,169,088,466,564,431,752,518,197,789,557,
585,184,457,438,596,317,804,067,610,283,328,659,530,334,869,249,768,365,124,
392,111,608,606,245,639,217,406,037,699,655,820,957,907,010,398,135,434,347,
968,539,321,050,260,216,177,539,392,433,595,910,984,797,859,498,009,843,688,
901,987,490,666,323,663,089,069,920,592,253,495,146,744,137,250,180,627,799,
216,739,761,299,824,864,298,134,948,620,901,507,675,522,577,089,922,006,035,
662,155,385,999,883,470,033,851,294,750,786,572,947,736,082,230,960,081,579,
188,615,670,070,031,337,772,746,548,289,148,800,071,962,950,341,010,253,785,
034,138,098,238,245,216,343,634,964,522,623,934,321,200,804,412,825,314,619,
897,423,208,898,869,088,161,823,719,195,827,122,544,366,078,405,785,291,910,
056,696,745,908,444,396,903,552,535,593,579,180,029,242,196,141,534,165,434,
961,799,568,387,679,375,503,630,841,041,970,840,486,536,225,394,212,593,422,
230,483,560,497,655,598,149,534,497,086,523,463,147,976,765,540,738,179,355,
800,113,372,964,909,802,304,245,994,014,990,542,889,137,519,583,557,365,469,
508,984,574,472,719,847,963,828,495,382,048,143,186,152,961,754,091,909,454,
745,643,150,952,834,788,867,185,091,680,914,167,807,292,313,858,484,874,966,
972,058,872,665,125,941,345,550,884,705,785,963,402,070,813,948,940,632,463,
962,398,661,332,329,198,106,068,661,204,192,531,912,766,028,676,398,008,864,
747,072,208,881,647,401,610,951,918,062,220,604,151,061,908,378,299,454,213,
802,078,330,533,696,294,140,443,297,342,652,953,900,003,739,644,466,450,733,
318,050,981,681,574,638,633,097,002,446,687,404,558,837,557,709,665,828,024,
460,647,533,451,810,804,712,114,366,008,688,295,713,646,289,662,215,539,809,
928,135,331,855,296,117,500,531,490,168,457,207,713,100,885,710,862,013,129,
268,348,118,371,470,663,289,993,868,848,992,487,721,732,917,451,035,303,762,
107,793,574,892,914,194,445,259,665,045,699,637,165,750,602,397,250,912,398,
630,386,349,972,063,765,797,416,143,557,829,007,583,679,480,905,079,401,137,
243,047,967,543,735,646,886,913,756,638,862,886,668,874,560,192,348,583,515,
594,330,534,181,958,179,673,544,933,120,924,997,647,226,960,075,754,375,273,
240,508,510,094,295,480,347,652,975,442,389,670,429,189,987,073,122,942,314,
390,572,718,809,167,020,817,599,203,431,781,821,937,653,306,276,536,807,205,
453,967,182,610,705,705,606,553,958,753,676,556,536,504,746,922,473,267,241,
126,490,739,802,794,086,276,683,390,381,327,262,364,671,167,889,385,435,618,
851,783,369,491,903,867,213,416,510,819,985,799,191,783,090,687,098,060,122,
324,386,069,400,595,433,314,518,512,813,863,457,363,055,372,952,399,528,995,
301,677,239,661,129,817,453,359,193,516,562,036,637,637,120,741,612,052,768,
450,313,269,140,122,649,958,131,910,934,030,464,847,200,311,231,576,977,587,
521,794,909,386,193,191,259,894,590,003,347,298,029,042,804,731,237,969,207,
195,170,049,458,668,008,738,249,888,750,189,834,084,420,860,399,264,793,543,
151,048,421,116,257,194,841,970,433,589,324,316,040,983,117,811,231,598,776,
530,225,518,650,673,359,438,832,931,420,236,180,158,800,389,591,553,651,732,
229,743,097,356,885,715,482,786,479,572,946,002,207,180,874,837,652,484,741,
918,067,899,791,709,300,476,873,167,854,052,815,052,585,639,881,564,737,425,
377,103,212,941,899,968,864,393,624,705,830,628,076,325,718,480,926,247,707,
765,871,077,633,368,235,556,889,997,384,901,547,941,875,331,481,921,820,227,
480,877,512,394,126,704,530,726,937,942,277,164,155,246,159,213,779,926,061,
354,323,578,008,558,385,458,447,783,886,962,653,883,650,737,795,489,249,786,
110,325,810,607,987,738,523,550,446,444,284,212,652,141,670,339,191,577,710,
859,741,697,204,449,104,959,071,124,383,014,643,050,038,125,244,000,116,222,
644,893,850,968,137,654,036,801,754,295,577,827,881,331,074,751,628,142,284,
456,132,211,016,611,976,855,296,396,008,959,086,768,944,350,166,577,699,466,
111,395,617,832,158,639,788,945,547,084,732,040,637,060,377,374,302,120,282,
225,013,421,776,477,356,816,726,233,860,973,687,925,788,416,066,053,842,081,
245,572,528,005,517,710,030,213,543,055,134,835,686,967,688,004,385,765,571,
060,987,751,855,568,883,330,515,312,849,809,347,768,515,164,478,919,424,003,
041,107,688,541,904,370,419,085,633,330,997,649,913,062,071,787,045,505,807,
795,079,439,012,698,028,404,886,373,937,495,664,428,119,944,475,139,580,463,
477,224,344,195,596,652,021,959,181,110,878,387,397,149,844,355,328,961,332,
652,295,018,079,575,851,606,414,160,746,026,104,249,664,487,095,334,580,244,
314,589,920,540,102,094,893,468,447,132,953,908,557,724,958,197,498,289,266,
814,665,205,168,888,108,071,123,755,196,980,138,684,054,703,196,917,812,504,
804,220,136,447,395,377,965,769,985,146,251,106,454,947,497,874,133,285,544,
457,727,724,107,150,140,573,147,157,579,740,477,225,779,927,391,879,660,342,
070,692,028,770,324,890,833,908,855,896,751,181,245,123,549,080,878,346,961,
189,441,812,584,813,495,141,028,525,111,924,088,204,468,577,237,978,389,331,
988,019,327,147,370,382,568,790,140,966,295,679,456,902,477,364,340,932,640,
125,115,911,221,110,501,569,981,360,392,709,633,988,586,255,719,904,911,172,
070,450,472,213,514,616,826,053,485,572,716,308,289,984,675,656,544,405,160,
101,059,432,452,962,762,169,240,594,673,617,266,802,093,526,675,370,315,261,
792,342,524,199,946,058,253,227,862,055,713,449,081,360,651,220,945,954,014,
700,240,074,415,294,777,044,075,786,759,472,057,655,908,889,712,115,173,667,
659,046,893,015,851,014,295,573,403,957,020,002,132,753,699,249,679,618,367,
028,059,414,482,975,977,358,728,726,256,169,936,834,435,157,218,483,666,133,
329,480,246,543,605,280,603,994,420,400,046,258,783,303,640,660,190,573,241,
404,382,761,437,930,129,037,832,846,915,172,186,229,273,988,109,260,302,765,
741,028,635,830,926,039,561,397,368,548,888,853,143,267,401,159,271,242,823,
078,021,029,900,505,864,315,980,771,357,800,369,281,830,938,482,167,036,499,
531,371,022,063,502,425,106,915,371,432,001,545,930,322,595,360,481,301,815,
490,743,057,774,151,310,148,172,070,194,173,734,014,512,950,154,988,612,230,
741,409,278,602,701,473,171,047,560,574,616,996,897,946,385,360,931,245,942,
463,609,361,583,796,356,206,274,946,682,530,583,164,795,343,787,997,832,737,
636,552,690,743,102,424,275,531,245,548,298,107,665,960,628,485,951,406,502,
971,707,945,211,412,326,895,285,100,153,611,984,383,758,197,512,733,612,905,
477,740,210,958,779,473,175,017,465,515,178,121,007,091,767,099,844,426,363,
551,431,174,566,350,992,121,154,481,629,839,471,844,391,689,927,753,852,272,
957,999,767,478,356,649,262,459,921,678,599,753,925,774,071,788,563,052,853,
054,014,563,905,556,797,638,420,240,369,265,971,814,051,624,719,218,819,943,
184,264,476,213,668,053,770,243,371,015,997,016,964,623,321,383,411,935,934,
092,815,862,303,282,438,445,148,074,373,788,750,466,010,515,813,478,214,285,
557,304,601,309,894,841,120,117,087,630,407,268,309,884,460,456,014,934,130,
338,086,257,327,711,725,934,874,290,933,461,953,563,493,905,041,388,288,167,
970,308,023,506,575,137,485,151,828,126,537,773,923,988,280,455,957,941,503,
137,835,241,458,776,657,511,207,552,548,235,038,925,968,226,841,551,012,753,
795,534,207,283,910,428,779,729,431,313,805,299,531,118,616,623,152,615,945,
383,341,465,166,446,111,838,493,434,192,295,957,424,562,077,997,724,914,760,
119,774,397,407,251,795,940,410,104,592,486,857,174,437,507,559,467,823,644,
643,679,517,772,921,209,038,039,996,034,202,990,759,938,589,090,454,850,002,
587,900,635,377,817,690,852,186,099,082,069,959,570,123,770,877,336,208,473,
242,931,532,822,432,757,883,109,522,461,034,513,004,913,754,578,229,003,780,
533,212,778,927,673,757,284,467,846,476,222,583,140,687,755,782,961,000,986,
054,767,914,544,548,933,978,910,791,991,677,872,446,290,683,568,049,552,189,
201,477,487,548,127,577,376,498,306,152,018,418,623,440,286,889,847,836,503,
685,797,717,044,705,687,206,520,591,505,988,304,643,535,350,141,366,645,279,
748,049,665,351,596,743,378,265,531,325,881,277,049,620,753,209,738,411,439,
506,054,498,371,862,338,426,148,579,577,643,453,501,196,311,907,660,220,017,
005,185,178,433,272,911,832,042,474,715,563,820,688,326,099,000,802,923,597,
719,251,037,126,180,878,987,335,576,516,218,510,561,946,458,669,604,291,878,
592,311,276,095,305,586,497,596,582,194,309,419,986,530,845,528,218,352,644,
059,270,457,179,704,356,932,079,368,826,200,829,482,939,366,561,028,808,640,
741,716,614,767,750,221,847,602,605,622,826,245,189,736,077,866,637,177,869,
624,758,512,487,810,201,263,134,869,112,308,162,278,873,375,150,633,911,353,
569,395,174,999,763,174,558,669,702,034,254,790,171,696,402,596,186,011,616,
860,901,405,689,917,360,779,968,975,679,020,341,009,797,469,978,730,565,847,
874,364,229,293,188,214,421,162,633,943,641,755,000,160,386,171,043,080,245,
438,880,102,860,563,557,211,700,036,971,674,963,591,307,161,141,546,197,439,
561,861,868,569,465,991,050,992,420,715,507,995,296,787,423,461,428,175,617,
104,149,764,733,716,046,991,563,823,909,575,638,798,258,047,963,042,626,304,
064,391,156,348,334,017,818,015,005,273,039,821,700,181,571,940,197,929,240,
744,653,476,945,533,258,345,587,389,742,099,903,493,373,376,363,228,045,731,
041,197,605,685,722,454,660,402,869,168,270,344,421,349,283,180,483,113,752,
217,503,198,916,352,151,815,101,226,177,991,413,363,719,994,319,932,361,450,
088,534,473,092,147,252,026,554,532,928,126,629,791,774,188,481,519,219,239,
136,201,349,746,950,509,272,681,343,988,088,030,120,813,072,246,227,242,884,
022,382,233,154,623,738,455,907,745,711,581,578,734,600,303,568,568,515,772,
699,714,842,715,302,272,980,682,168,331,194,421,696,318,297,070,698,738,950,
108,401,887,117,840,477,189,785,305,813,006,982,930,164,499,406,649,108,554,
770,629,161,277,955,247,775,718,210,762,028,403,585,817,537,791,706,934,066,
527,252,314,649,651,619,260,433,204,085,809,424,921,088,434,852,281,347,806,
162,804,268,165,644,061,627,459,888,464,539,061,907,923,186,584,026,519,034,
906,968,218,125,205,369,003,795,479,389,901,390,474,958,154,056,458,843,666,
250,218,462,248,337,916,511,869,716,529,666,560,410,330,108,345,632,512,859,
048,141,645,178,095,835,749,466,257,932,606,564,645,773,650,006,424,810,159,
160,371,235,017,145,976,210,667,185,074,392,078,356,409,626,669,373,454,608,
646,529,132,499,796,726,123,773,372,031,725,214,575,000,764,237,320,306,122,
470,386,436,167,638,274,753,109,701,191,926,432,381,767,099,627,713,215,767,
576,916,366,366,735,739,405,089,254,363,090,482,596,446,610,508,926,896,837,
502,274,478,423,642,617,562,317,456,070,501,823,966,951,783,752,335,031,603,
063,715,594,160,018,886,983,310,904,339,181,031,662,509,227,064,898,257,341,
172,096,612,738,343,248,047,680,366,467,548,307,693,231,245,060,406,896,655,
607,336,093,799,373,887,778,996,940,944,330,873,386,168,047,398,997,520,695,
861,393,766,762,722,591,918,206,660,856,535,614,338,519,593,540,503,394,013,
944,041,520,910,368,867,795,882,040,812,872,753,402,298,175,158,887,780,955,
996,374,266,099,928,638,414,796,326,193,529,819,902,912,241,938,210,871,451,
964,624,689,675,353,438,056,419,124,744,461,486,408,081,537,627,834,877,774,
394,616,502,867,170,229,106,716,455,505,103,684,174,982,796,012,897,071,469,
741,263,230,857,103,476,688,432,758,778,960,746,216,031,614,936,985,962,256,
126,937,209,722,744,824,548,655,967,122,443,024,307,517,694,708,685,132,913,
309,820,726,031,294,955,290,384,886,871,280,870,349,699,666,066,188,796,514,
365,670,097,998,704,823,676,498,431,515,953,452,496,928,914,718,387,418,421,
441,167,725,294,265,579,502,219,992,006,168,772,756,325,333,930,738,916,179,
676,786,790,171,408,940,848,548,382,745,223,333,388,598,793,216,914,614,274,
613,064,709,783,012,909,481,217,097,335,102,392,650,183,048,038,211,612,058,
127,545,885,604,932,332,310,016,963,782,042,213,530,200,906,909,919,257,028,
932,157,848,155,016,930,945,573,907,813,585,374,312,267,205,229,860,610,643,
382,420,276,678,974,017,711,225,157,988,664,621,840,062,165,249,609,267,732,
482,395,932,938,256,229,233,159,549,929,809,084,537,078,323,665,417,536,021,
089,563,760,641,962,357,709,591,359,070,414,024,093,484,021,637,907,075,034,
015,641,492,863,616,158,870,474,390,574,008,059,028,375,587,443,724,634,891,
436,948,705,881,110,857,773,454,931,636,083,771,220,339,694,657,352,249,718,
553,259,131,655,792,189,131,067,787,115,536,610,178,875,335,998,738,680,884,
506,149,740,418,216,119,628,083,931,836,719,677,715,004,285,591,335,085,612,
743,455,253,103,666,823,009,522,369,144,677,990,951,277,318,708,470,897,491,
769,604,961,017,419,491,475,059,319,966,048,954,337,724,799,405,651,745,966,
610,111,188,842,605,372,943,973,846,818,360,915,569,708,736,143,299,874,570,
617,268,532,673,300,940,736,653,857,167,291,227,198,569,123,583,483,513,515,
536,946,987,719,526,914,405,746,531,903,548,321,749,641,532,322,795,943,632,
709,953,958,949,838,487,601,489,932,261,600,117,171,366,034,999,244,828,694,
604,549,656,182,281,577,984,262,060,393,476,941,809,450,894,001,215,570,775,
659,963,367,333,270,068,642,522,887,814,675,081,676,969,346,473,631,050,848,
650,891,447,071,203,190,846,638,786,207,673,538,219,351,079,324,079,035,552,
206,478,535,192,918,257,326,918,211,798,614,611,429,839,229,532,606,977,047,
417,015,419,018,163,014,751,285,189,578,149,044,212,189,397,718,052,582,230,
818,666,540,792,643,355,938,791,798,253,539,224,202,831,049,969,896,639,000,
476,011,052,869,858,385,020,812,929,301,525,245,143,028,055,913,916,207,849,
332,661,349,688,837,588,024,041,078,273,472,903,858,796,022,397,450,378,752,
581,266,701,720,669,540,158,781,450,102,460,751,394,054,881,143,924,769,354,
537,187,200,128,924,688,484,860,480,817,721,630,103,717,816,625,356,828,610,
030,737,222,844,171,093,148,899,897,742,708,102,618,076,659,834,828,903,017,
460,971,951,551,176,224,815,123,203,835,459,778,104,465,091,616,099,375,988,
665,909,783,208,291,650,894,546,417,848,531,231,376,037,992,278,199,324,300,
215,067,739,988,294,102,072,524,393,860,283,253,928,978,192,729,283,862,144,
916,449,996,185,317,558,179,944,417,247,515,443,136,727,066,554,372,589,412,
005,598,024,751,794,086,626,713,081,311,075,509,140,455,933,657,355,274,724,
327,690,913,586,755,447,262,189,308,468,229,255,387,603,443,288,896,958,527,
741,486,261,346,736,437,959,995,626,578,204,959,021,013,054,413,966,141,653,
544,813,839,679,990,443,913,289,440,887,892,966,112,965,045,920,836,854,036,
627,967,508,462,301,343,636,770,513,744,511,338,370,153,165,250,296,932,894,
955,024,222,564,582,374,750,782,046,350,393,455,191,715,058,460,109,131,729,
023,286,145,411,297,291,565,492,920,552,033,006,308,848,086,710,599,794,743,
144,403,251,764,511,592,682,113,739,804,668,485,584,926,067,028,769,914,117,
042,133,895,456,253,362,372,423,433,698,840,526,058,168,973,321,934,742,075,
421,295,387,161,676,496,377,560,457,672,710,781,338,796,822,608,034,154,398,
216,785,277,588,186,109,719,749,640,695,196,460,375,493,919,049,298,938,907,
083,765,769,590,903,513,446,187,892,942,064,157,877,249,241,981,814,480,929,
643,610,825,145,237,211,230,724,649,310,636,050,308,739,242,022,532,169,712,
543,966,938,632,841,233,173,760,857,746,262,275,621,230,444,477,169,341,578,
909,660,542,395,100,853,468,291,507,706,650,896,809,619,130,261,900,417,180,
996,269,220,123,134,704,896,388,610,952,399,151,439,844,258,126,123,956,800,
242,296,152,288,258,724,204,658,214,143,656,665,596,753,790,025,152,718,440,
546,178,523,399,737,209,083,470,951,890,053,417,209,233,501,063,259,616,283,
727,740,244,301,892,252,909,354,405,061,172,160,466,223,391,381,152,558,270,
836,053,540,705,521,310,501,690,101,299,027,509,456,577,080,700,743,378,602,
124,315,187,549,884,320,037,350,834,296,629,570,967,944,946,667,399,892,121,
504,692,885,110,594,925,898,243,628,174,467,078,096,272,131,415,758,740,087,
561,346,867,615,399,146,530,137,222,742,612,213,023,957,146,720,551,057,490,
691,418,743,379,894,643,377,128,615,116,085,891,820,286,762,294,953,988,255,
389,104,824,476,175,613,053,413,954,435,405,161,128,778,713,920,928,636,890,
070,398,910,073,288,991,245,372,863,733,498,302,705,568,112,404,748,382,196,
614,975,066,641,511,699,044,872,221,319,416,249,482,928,509,215,281,925,663,
229,514,795,114,362,668,528,394,427,539,736,533,666,993,207,971,107,495,947,
505,416,989,021,471,913,141,860,475,726,627,169,327,160,950,025,277,221,134,
327,774,532,545,520,627,014,106,516,011,642,120,435,186,723,362,517,026,689,
198,740,701,943,707,805,865,139,173,817,446,794,392,942,801,669,334,831,600,
863,503,294,188,476,909,130,275,836,460,555,544,417,043,847,749,255,316,095,
479,344,242,693,787,394,709,328,295,854,943,894,830,016,076,022,113,605,575,
686,764,292,820,341,158,787,342,941,618,564,814,667,104,146,534,566,261,962,
289,133,389,244,184,148,317,024,493,788,659,390,397,450,988,842,029,523,365,
954,360,982,727,313,147,570,703,472,731,769,139,927,965,717,756,243,042,439,
897,752,922,515,848,312,593,301,917,199,438,330,929,181,696,568,513,196,446,
756,295,454,095,810,336,190,815,872,511,975,297,844,026,716,049,128,456,915,
876,235,261,921,037,699,306,699,696,642,379,869,067,799,155,194,551,761,100,
408,848,562,422,125,725,085,736,580,393,922,086,699,011,210,131,040,928,222,
536,278,581,521,468,981,800,818,348,608,196,379,180,446,723,090,639,361,505,
506,785,781,587,562,488,239,183,165,691,008,323,260,141,110,115,009,065,284,
191,290,450,295,398,931,114,875,149,514,638,304,607,047,604,943,897,819,657,
776,312,154,920,931,789,371,381,455,501,610,506,186,588,900,805,850,222,777,
947,914,322,982,713,989,180,928,230,957,792,722,234,230,206,610,793,296,243,
801,832,564,558,867,292,418,551,260,167,735,821,160,107,978,578,171,272,929,
451,634,763,355,580,307,486,205,886,391,561,560,133,417,537,563,957,760,566,
541,334,296,207,014,382,822,251,121,975,818,846,826,479,772,513,835,514,679,
928,120,005,852,617,694,735,687,897,760,089,033,472,571,120,649,640,250,863,
203,843,006,676,604,566,036,774,178,219,057,561,635,184,749,638,507,105,868,
100,582,910,672,226,490,470,743,707,926,851,345,672,387,460,022,207,898,203,
563,531,048,380,258,510,906,168,367,241,279,871,023,215,185,533,020,546,839,
444,688,670,840,341,523,441,899,198,470,074,675,064,186,361,810,765,174,470,
571,253,559,881,529,528,323,678,882,904,125,258,939,612,237,316,639,745,661,
636,773,134,504,793,736,318,778,783,793,529,656,332,906,448,895,422,381,548,
278,874,130,604,976,883,986,928,760,182,262,806,709,917,768,692,616,253,694,
859,967,094,887,597,978,039,309,086,335,335,215,853,892,880,613,278,574,683,
002,924,517,930,382,929,188,657,715,258,514,296,629,828,242,287,681,289,751,
583,585,314,900,526,965,853,394,726,811,022,957,903,800,142,113,779,392,091,
826,238,347,506,472,281,156,479,145,621,013,378,724,893,581,833,773,203,370,
016,650,992,669,216,305,693,850,412,700,285,075,325,601,442,197,544,776,669,
188,573,131,499,031,767,600,523,583,784,956,740,931,396,251,883,521,132,506,
342,334,206,725,511,593,108,011,506,519,589,607,278,157,140,815,644,520,687,
267,298,732,330,378,521,192,269,171,887,045,874,695,000,230,462,650,865,701,
787,094,901,786,450,202,604,163,821,870,844,789,210,131,516,270,654,233,270,
874,526,037,298,828,179,729,098,020,364,281,016,104,648,946,841,774,893,795,
936,280,897,844,063,173,593,362,296,976,809,760,156,970,638,134,106,224,906,
234,324,904,884,045,118,344,684,889,144,597,596,064,197,478,416,831,319,885,
951,046,025,281,161,864,616,748,238,479,637,164,376,458,867,099,175,870,028,
905,104,471,425,757,499,374,320,571,372,952,037,434,564,252,437,658,756,018,
136,105,573,993,017,736,181,404,230,192,127,152,185,102,627,665,621,430,990,
040,880,587,064,180,286,498,470,857,552,329,492,204,232,812,829,953,684,660,
357,888,211,937,973,420,368,738,976,080,828,377,034,781,152,881,531,533,404,
144,327,287,744,690,758,244,698,548,424,029,792,058,285,398,859,915,247,149,
881,575,504,982,752,497,649,631,240,339,228,786,241,867,129,184,910,002,549,
611,338,309,585,816,428,339,055,480,181,028,096,629,304,265,244,594,625,234,
745,981,778,315,571,205,500,738,260,234,631,810,475,921,080,633,426,121,530,
669,218,686,801,725,352,603,709,969,499,373,984,867,118,986,252,411,040,101,
997,115,352,994,726,662,380,845,576,684,063,483,663,907,769,777,120,788,365,
709,193,814,233,252,288,802,155,437,800,452,223,929,509,303,723,577,747,505,
547,579,309,307,167,987,713,106,551,428,318,279,922,436,010,600,852,439,408,
228,214,130,127,934,577,381,954,112,402,870,490,959,035,042,636,817,186,114,
300,253,921,995,125,916,031,343,367,087,204,366,575,960,719,438,741,886,756,
191,419,363,834,608,151,099,351,355,753,566,513,502,750,977,107,758,687,264,
700,725,479,579,522,163,076,651,204,338,586,401,945,046,474,150,074,233,853,
857,371,566,985,619,803,714,923,798,093,900,571,934,512,251,597,845,115,908,
098,852,454,597,907,478,847,023,778,737,455,252,997,829,282,548,023,683,015,
588,354,831,423,360,138,740,635,867,498,654,256,444,410,282,802,256,302,740,
944,194,166,928,587,314,667,237,406,945,397,847,529,242,744,188,080,389,350,
122,366,118,872,974,380,592,101,587,800,527,453,356,748,307,522,406,471,336,
650,653,085,721,764,485,515,719,046,029,042,945,904,036,366,634,680,170,457,
164,438,760,699,966,310,674,630,395,120,685,148,262,437,752,787,614,365,018,
945,163,654,006,665,139,514,626,591,338,077,958,780,511,803,488,526,711,801,
433,877,912,376,529,482,142,439,227,259,534,827,618,888,692,876,552,772,773,
986,849,922,575,380,041,640,737,617,539,553,370,881,240,377,733,227,584,664,
891,880,232,424,727,725,047,873,975,016,317,792,806,204,779,071,366,144,855,
236,027,287,981,119,128,494,053,008,348,788,988,511,424,959,994,007,772,271,
175,006,052,172,468,117,977,523,096,674,561,303,883,000,197,368,529,550,859,
001,079,481,658,384,238,220,778,387,032,459,666,088,362,947,361,994,016,457,
396,739,268,669,990,956,407,274,473,923,061,333,811,900,228,141,167,585,629,
871,647,411,562,931,891,280,564,778,258,322,297,499,204,236,897,737,846,156,
439,997,933,294,251,074,964,997,870,099,396,240,125,932,618,740,838,912,225,
991,567,298,364,823,592,041,484,996,441,606,502,282,881,578,000,200,649,267,
618,175,405,945,143,771,444,845,402,277,268,825,418,990,954,361,287,258,009,
263,336,036,790,301,813,379,001,653,862,686,921,364,716,594,152,022,905,243,
499,890,048,372,898,093,852,695,609,582,657,824,506,838,586,929,871,666,066,
058,495,691,503,357,420,770,087,773,586,214,759,532,028,502,391,791,119,178,
542,258,135,038,256,632,777,858,739,910,934,165,436,541,969,130,010,169,006,
494,320,356,102,625,834,670,946,512,085,085,514,360,777,841,627,879,984,154,
590,860,767,795,923,293,112,831,520,962,287,314,320,877,619,966,256,840,223,
754,127,569,741,275,510,970,499,090,321,017,852,425,656,699,652,637,705,621,
752,974,549,107,597,541,697,199,588,530,472,823,924,404,231,763,894,304,491,
212,247,619,735,935,766,685,644,178,566,800,479,123,154,856,038,204,048,570,
091,291,672,249,347,266,037,458,282,165,291,556,327,549,738,885,239,657,438,
428,570,756,213,517,012,275,449,907,411,835,338,077,026,977,849,625,449,369,
766,673,770,120,678,258,290,026,810,286,015,109,856,007,214,761,790,369,936,
541,609,509,504,205,272,942,191,553,051,840,069,462,007,572,068,968,113,896,
112,681,734,819,798,120,941,715,375,892,249,912,331,131,201,440,789,352,228,
126,039,340,667,303,537,253,127,978,474,469,956,446,200,036,325,359,897,534,
190,272,708,868,011,128,097,055,816,498,867,103,403,424,204,939,496,117,071,
613,078,499,200,200,465,042,044,787,272,276,178,516,865,672,367,079,810,552,
919,851,287,167,366,028,414,588,361,171,123,728,972,422,009,800,917,218,424,
062,975,905,332,935,396,878,397,994,227,805,720,868,151,151,586,413,621,951,
270,863,788,783,794,498,654,167,782,201,018,368,673,271,893,717,969,383,525,
867,889,629,423,742,029,192,822,673,740,125,089,095,369,977,245,751,113,203,
167,804,055,511,879,058,952,356,592,651,171,684,915,904,909,843,500,672,427,
471,913,444,846,293,255,208,286,189,060,909,559,797,396,554,320,313,027,508,
760,261,107,088,509,745,342,179,240,138,772,386,856,481,056,424,965,892,659,
121,649,927,931,281,825,951,275,609,269,150,328,121,177,479,878,243,825,564,
058,379,248,488,323,787,261,530,384,454,044,388,207,515,084,345,871,808,561,
322,932,160,425,268,523,492,393,787,973,928,021,423,202,646,983,525,345,874,
853,859,277,231,410,322,457,907,388,745,273,273,292,556,942,056,107,886,597,
739,996,624,181,325,014,786,570,803,931,914,902,198,099,608,161,630,669,736,
806,165,626,295,425,874,964,050,260,892,657,623,505,669,822,274,979,564,696,
621,167,441,800,660,683,646,715,347,068,231,024,038,156,037,293,932,352,201,
054,489,769,364,665,468,076,461,343,316,273,088,010,985,519,197,112,838,861,
795,816,871,467,284,318,433,673,065,169,036,451,418,070,345,223,258,582,509,
014,310,533,181,100,802,235,235,235,281,146,983,953,519,426,827,664,235,170,
070,119,974,435,102,070,789,359,715,648,728,791,305,244,690,136,293,835,987,
570,758,113,303,563,785,492,324,042,704,126,516,776,924,729,617,568,971,910,
883,304,562,684,893,051,847,360,567,411,906,949,232,500,665,039,704,561,548,
563,707,049,356,824,156,225,593,649,870,965,271,423,688,294,034,078,789,635,
873,675,305,474,494,267,042,248,573,024,445,555,180,678,590,237,881,616,440,
803,093,368,787,621,956,253,292,696,528,085,994,803,511,096,222,912,907,569,
915,643,302,708,940,884,213,842,698,262,581,302,374,455,633,685,915,259,217,
966,937,637,794,447,461,652,957,248,266,303,753,508,355,198,042,229,985,701,
464,496,118,350,180,248,968,217,940,430,778,123,648,926,936,905,692,411,633,
683,652,252,824,533,267,702,921,688,023,880,602,951,086,669,970,694,252,733,
345,377,245,248,580,544,221,704,184,752,192,920,322,858,792,207,836,723,814,
494,152,389,088,286,795,245,713,764,817,024,281,295,410,492,398,128,830,199,
204,536,329,566,230,845,703,762,623,853,953,264,537,945,749,930,407,034,626,
560,996,798,993,228,345,207,223,740,438,702,275,477,650,154,609,453,720,252,
770,697,912,231,299,189,142,363,714,385,093,186,503,297,075,880,080,920,257,
724,408,477,538,608,017,571,067,106,323,016,241,072,548,798,767,061,019,825,
247,595,693,189,656,889,353,808,453,702,378,763,363,915,040,070,293,598,525,
072,728,201,422,643,209,103,429,451,394,156,382,270,224,337,999,353,577,201,
218,803,489,790,226,284,791,217,542,873,809,221,666,162,827,862,883,834,872,
219,916,231,119,310,593,019,944,067,219,952,613,248,549,767,025,994,011,937,
303,397,961,144,463,911,422,296,946,190,666,628,360,784,918,995,535,207,080,
587,048,393,487,034,227,355,285,471,216,317,791,524,328,771,409,898,691,646,
984,453,590,790,857,059,224,440,819,330,573,249,875,281,657,674,838,344,913,
267,448,065,200,474,714,966,579,693,634,079,452,219,074,223,357,035,172,380,
273,632,762,333,966,563,469,575,213,292,230,258,780,410,315,943,593,679,829,
756,942,287,188,830,278,436,827,740,331,561,413,723,535,138,774,126,100,736,
967,173,910,968,925,053,077,873,388,960,597,025,639,784,925,495,988,031,007,
818,837,574,155,166,582,145,649,836,480,438,813,898,550,225,730,212,197,093,
234,768,258,306,345,808,704,157,856,277,577,165,080,149,964,330,000,721,743,
921,718,148,038,230,473,847,037,653,468,114,598,137,324,241,565,438,956,083,
726,603,826,195,512,396,579,824,370,096,662,880,454,768,581,002,277,679,003,
732,645,611,918,155,104,397,304,361,204,324,507,774,280,020,892,874,241,729,
698,621,390,497,857,637,172,937,244,058,648,412,648,700,312,008,895,452,779,
646,010,122,939,222,927,706,390,236,064,086,711,459,341,858,866,114,220,777,
586,708,149,217,831,325,627,038,609,700,549,786,842,878,411,710,050,513,378,
439,414,489,404,946,109,365,836,955,489,089,810,650,095,769,978,046,850,052,
164,749,065,121,652,957,900,392,584,130,923,440,141,396,331,812,056,369,591,
744,357,082,735,740,326,156,740,551,141,438,322,249,473,808,329,981,577,303,
039,984,701,824,842,012,673,081,351,236,222,662,614,417,486,224,636,848,094,
568,963,245,819,089,887,574,103,717,876,687,022,049,153,196,457,873,132,451,
870,316,411,130,054,677,333,240,999,006,721,055,598,964,355,305,486,122,053,
010,670,242,848,081,144,164,290,959,226,126,505,924,474,150,287,965,943,138,
063,451,151,974,361,942,795,335,412,268,500,005,046,954,741,053,197,708,111,
415,885,847,436,355,072,541,977,327,287,981,683,457,741,707,071,129,890,940,
074,684,069,985,439,049,348,828,876,924,330,369,489,916,908,189,759,551,255,
827,107,373,140,032,644,629,001,327,975,862,571,479,110,604,393,540,847,103,
486,124,677,744,158,383,771,345,990,888,597,011,077,448,764,957,516,190,890,
224,563,065,216,978,733,416,006,595,674,171,665,754,003,142,268,592,897,598,
621,907,021,374,930,457,079,705,412,523,672,263,235,402,463,176,231,069,843,
010,456,752,805,420,006,811,635,542,378,681,640,177,820,511,864,406,957,279,
167,597,353,524,880,209,919,416,843,022,996,095,448,259,667,063,583,060,658,
210,624,792,093,622,656,192,572,794,812,897,488,860,461,181,197,086,194,708,
174,976,951,340,166,673,708,205,856,373,109,657,536,644,995,017,080,150,513,
913,249,990,910,922,157,872,100,309,184,213,400,118,316,047,031,742,627,675,
565,783,536,397,944,676,472,762,753,515,076,864,126,536,126,891,002,148,731,
267,400,732,825,614,739,547,307,446,620,417,504,682,107,655,696,256,113,593,
465,125,823,082,526,752,208,161,708,318,869,259,321,579,010,009,402,756,760,
082,681,576,425,784,221,291,391,414,587,838,708,123,387,689,550,485,897,606,
389,770,336,593,623,318,814,658,753,052,152,369,299,974,740,200,268,875,132,
732,263,918,518,906,112,582,483,132,198,240,871,350,387,603,504,782,953,015,
436,373,859,600,616,242,976,183,748,833,686,134,620,935,128,956,516,843,994,
632,951,501,105,999,592,854,412,027,079,808,084,234,558,647,306,127,050,690,
364,438,368,968,645,467,973,374,098,415,895,852,030,647,964,411,961,364,285,
447,140,823,404,842,155,595,431,384,861,782,190,978,951,997,710,454,251,126,
707,714,940,062,014,278,623,879,442,476,845,080,414,813,448,570,105,285,102,
080,680,264,813,501,654,638,941,151,538,981,497,674,796,429,038,969,339,280,
486,100,412,359,583,801,877,234,346,425,476,303,278,285,527,448,693,968,207,
868,537,849,884,231,360,732,363,490,221,248,160,898,057,570,532,536,162,714,
021,597,004,861,772,443,795,814,158,974,099,695,584,838,853,015,673,641,794,
625,547,944,123,054,962,986,258,494,310,981,756,898,962,129,753,033,791,631,
265,718,627,137,424,298,164,040,729,480,313,578,730,104,976,353,948,513,174,
347,239,272,827,682,231,064,674,287,879,723,532,219,444,546,607,238,200,837,
083,887,013,249,885,107,620,900,277,768,152,126,707,695,607,111,726,522,791,
623,719,017,966,880,905,183,748,593,734,736,180,364,026,345,855,412,247,118,
764,328,664,516,302,227,383,985,214,516,242,230,453,744,263,169,339,128,335,
110,288,914,857,943,522,507,188,948,677,099,664,201,278,988,903,410,430,436,
632,635,332,389,117,352,411,582,284,833,963,499,641,462,039,087,776,822,538,
705,210,559,863,387,666,501,963,419,766,313,585,404,153,737,755,748,852,872,
837,182,947,684,663,935,528,905,524,512,476,985,331,376,830,756,582,237,207,
399,551,394,228,041,842,003,582,588,511,682,041,268,359,647,094,914,392,457,
493,650,008,987,810,558,489,842,100,220,924,828,552,539,263,305,953,008,860,
131,555,206,126,341,891,775,765,824,262,408,961,749,902,778,014,088,549,749,
834,784,377,780,130,236,475,184,867,268,324,418,198,419,073,841,351,529,499,
293,042,394,787,228,723,188,410,197,065,607,864,746,687,724,965,130,596,491,
575,899,108,470,640,341,449,319,352,921,493,288,248,423,525,705,834,888,266,
215,864,476,517,221,695,498,824,680,700,632,395,532,583,197,829,059,299,979,
958,434,087,232,750,659,773,868,355,166,187,653,658,439,149,422,263,977,001,
743,308,196,555,997,709,313,750,854,630,726,331,536,389,166,561,426,776,412,
637,945,824,678,926,185,036,574,184,913,407,512,244,566,527,436,388,920,439,
890,402,789,946,744,826,073,695,294,692,882,346,054,235,961,149,180,568,813,
663,815,373,040,645,970,479,516,700,189,978,078,655,681,327,043,405,150,861,
336,462,953,364,048,985,647,805,856,588,024,398,250,476,478,038,402,423,527,
383,437,589,177,485,539,738,146,836,607,730,228,352,844,774,651,566,030,190,
696,837,049,368,156,056,562,228,569,875,350,778,099,271,311,969,923,517,056,
785,240,175,440,065,876,468,881,450,468,694,028,026,381,006,320,383,596,039,
050,532,881,618,767,689,535,945,502,858,001,632,539,275,822,475,597,908,506,
591,325,662,474,171,875,488,042,523,719,649,921,333,020,583,796,263,451,506,
945,361,304,605,990,303,891,458,247,536,791,939,262,707,152,128,291,339,529,
313,865,119,692,934,840,029,272,711,139,918,252,668,337,200,233,453,204,089,
761,741,797,503,547,213,708,010,397,823,760,081,467,523,968,666,570,253,675,
362,249,067,019,680,929,980,325,823,996,131,632,472,373,744,883,035,822,640,
832,007,960,893,984,381,690,228,700,305,922,879,457,607,892,652,366,496,304,
273,675,606,584,228,575,861,914,183,167,697,398,911,461,781,186,516,131,101,
828,676,493,925,384,660,941,590,155,063,604,779,208,299,283,219,364,360,322,
329,299,414,524,142,743,993,729,115,255,082,385,089,693,831,142,554,647,458,
666,672,981,869,636,033,955,628,989,120,202,877,651,921,110,834,819,056,209,
866,395,649,516,132,128,362,804,384,796,294,435,889,895,668,283,468,215,326,
054,469,676,369,671,263,024,929,424,346,494,704,504,626,052,513,947,820,227,
781,614,772,275,664,244,892,006,085,687,885,524,230,648,805,182,999,677,516,
904,948,836,071,764,845,538,944,479,157,778,920,844,842,130,417,506,856,247,
129,300,727,550,472,791,079,224,018,910,815,495,927,307,542,028,572,521,017,
934,334,160,470,431,257,031,706,663,994,799,746,115,070,684,783,002,361,446,
483,111,309,832,876,476,511,581,231,641,632,598,082,029,696,344,727,136,341,
921,985,984,215,059,437,707,957,533,607,017,999,541,110,998,040,390,305,732,
183,473,386,467,036,590,697,744,104,858,035,930,454,495,518,168,813,942,221,
520,873,270,607,505,707,030,238,678,372,437,584,853,453,940,114,939,065,926,
255,280,683,573,902,669,459,835,600,418,122,809,709,967,406,834,505,195,379,
072,032,386,918,980,349,071,904,065,305,513,988,202,140,579,941,076,934,472,
616,341,825,277,108,204,216,740,338,990,822,438,772,754,305,447,593,850,113,
912,830,921,227,879,568,496,071,952,712,778,479,842,567,981,460,217,688,344,
254,270,342,382,298,189,991,527,426,785,535,422,724,671,320,239,541,513,858,
992,464,162,086,024,423,659,122,764,111,859,289,304,522,353,474,061,324,406,
021,916,026,697,550,593,048,661,529,429,772,214,173,721,469,556,388,344,795,
689,108,687,337,959,871,912,058,997,433,085,996,367,491,957,664,969,861,419,
177,011,259,021,455,846,259,052,150,366,084,494,643,651,145,736,240,496,629,
677,486,709,171,008,978,812,759,885,834,881,791,178,500,058,848,416,840,887,
319,121,515,083,501,041,658,306,054,044,089,482,229,530,205,571,137,844,152,
499,784,599,491,946,680,453,139,540,373,560,889,727,744,756,277,502,812,666,
715,547,519,071,314,146,226,051,089,684,596,397,121,310,537,186,297,893,655,
959,406,365,371,811,008,859,381,397,015,624,273,931,436,357,949,200,286,085,
148,750,517,628,825,958,089,000,795,814,012,214,995,295,183,148,316,039,223,
197,308,231,829,052,162,182,763,131,135,113,480,403,519,879,152,142,547,170,
651,613,743,887,955,875,762,007,931,371,627,194,695,854,486,655,918,614,892,
139,133,503,398,500,784,077,746,759,908,575,037,755,365,781,003,833,922,712,
485,983,344,052,391,750,938,011,950,968,793,220,806,716,068,819,278,537,893,
469,401,866,446,086,972,642,667,147,447,317,776,739,895,528,194,384,712,954,
740,648,990,911,671,886,302,458,781,358,344,105,039,510,811,327,388,881,447,
986,647,457,080,166,341,677,047,814,103,328,012,720,569,606,665,643,151,882,
592,922,649,774,094,993,194,560,993,443,797,467,387,274,305,767,106,450,163,
065,463,173,389,691,209,764,516,445,591,696,542,147,592,044,599,080,162,050,
199,187,654,883,889,319,737,276,391,139,920,928,602,379,390,232,038,368,983,
091,169,589,121,303,826,390,584,897,366,469,118,407,068,480,343,768,498,751,
095,287,601,004,306,640,367,548,401,476,906,986,665,946,370,347,914,183,022,
105,755,785,026,765,937,433,793,641,233,695,038,932,479,453,150,683,241,702,
873,296,069,339,217,229,950,221,108,663,459,960,979,626,669,711,020,175,470,
141,235,645,709,710,340,488,553,990,862,037,107,319,256,080,677,306,722,642,
187,564,116,701,931,816,018,799,771,872,274,150,273,946,630,891,334,210,817,
040,046,381,160,118,087,329,393,269,405,648,024,634,481,607,802,908,252,526,
477,443,040,834,725,569,623,112,960,354,262,193,106,929,482,391,601,078,398,
026,740,170,894,746,572,675,145,744,735,738,703,330,876,561,037,400,085,585,
088,770,051,795,826,231,651,854,673,274,296,409,157,845,439,191,435,771,579,
138,151,373,644,989,305,060,885,513,546,295,332,916,740,935,054,558,111,954,
517,628,984,542,575,508,439,563,726,626,932,351,978,272,096,585,567,695,778,
878,671,108,752,257,420,747,885,430,599,842,431,173,405,442,078,334,478,822,
487,452,160,510,823,591,395,116,435,158,712,066,786,673,590,592,799,035,429,
872,426,028,586,859,575,689,039,908,730,936,340,304,358,019,501,222,144,305,
254,253,199,950,364,201,570,858,028,134,245,504,512,864,129,080,626,082,843,
908,539,549,541,542,626,973,279,789,949,535,742,296,171,257,708,065,504,329,
633,015,399,560,279,306,679,702,251,400,682,794,803,941,911,175,492,136,768,
954,003,816,793,909,205,933,523,396,171,739,622,541,795,774,100,743,902,490,
627,554,561,350,209,804,992,043,933,820,373,840,941,180,365,571,673,031,776,
047,112,111,321,721,035,099,764,827,088,016,217,852,695,451,244,866,007,904,
993,082,718,296,680,933,069,689,056,758,232,500,087,977,450,991,598,744,956,
615,588,252,087,293,196,882,812,973,600,620,832,600,144,545,259,563,076,139,
671,037,785,794,657,157,816,225,016,940,933,097,154,882,264,264,408,448,962,
362,998,318,957,405,099,101,783,550,716,170,295,678,017,183,093,708,539,358,
942,437,982,898,752,094,291,520,062,761,263,453,884,943,064,947,112,207,828,
550,690,361,747,285,610,441,883,442,027,723,906,784,670,847,736,370,076,557,
375,573,437,105,408,460,216,289,001,313,221,325,475,376,734,468,588,574,198,
944,263,700,566,078,644,580,672,111,866,977,992,470,958,733,295,260,301,235,
522,178,013,878,899,379,876,452,268,569,163,040,782,235,855,646,859,508,555,
632,734,975,119,218,657,255,328,226,282,204,033,306,824,251,017,465,373,207,
598,192,164,348,828,761,718,448,147,084,268,472,781,631,799,836,318,161,048,
284,529,765,417,687,884,168,108,623,403,287,366,571,249,728,578,197,136,872,
416,168,810,075,883,916,914,871,350,847,692,975,570,209,680,942,974,379,437,
513,175,716,732,911,162,432,101,097,629,851,789,908,972,234,486,089,335,340,
666,949,761,443,175,246,493,321,434,715,868,446,896,172,162,780,956,129,365,
338,562,146,109,195,406,685,696,803,403,017,199,276,980,951,934,050,437,126,
957,736,634,863,654,729,536,200,869,396,982,967,570,848,038,829,304,349,173,
316,507,299,167,533,258,742,335,104,470,928,092,999,884,678,646,384,157,261,
374,580,511,270,575,370,307,697,528,714,661,981,190,400,278,162,303,156,586,
158,352,191,611,070,873,833,694,752,854,535,338,660,481,491,279,046,403,143,
824,946,452,552,172,480,468,998,853,874,634,963,449,542,626,322,853,595,838,
064,833,939,704,603,424,481,932,211,034,674,501,406,755,372,507,850,045,164,
014,927,297,791,325,746,879,242,797,390,202,942,558,438,720,014,996,352,011,
320,202,221,082,459,604,108,722,312,979,246,329,558,073,871,503,215,159,631,
253,509,980,820,401,804,828,873,772,615,601,176,167,530,410,682,228,080,407,
487,691,282,309,998,041,230,892,830,937,941,151,005,328,179,090,217,189,091,
820,270,286,836,676,173,316,949,967,041,121,573,877,903,391,940,015,168,017,
079,607,411,774,203,634,829,608,391,596,387,625,934,910,838,224,960,266,425,
853,281,817,829,806,163,294,748,043,993,025,571,981,902,777,362,394,343,032,
222,857,733,696,395,211,707,436,303,680,693,652,322,210,244,273,790,680,518,
198,222,923,524,502,809,281,812,708,851,580,703,747,148,975,487,000,700,090,
913,397,905,459,554,436,513,237,090,041,503,659,615,402,647,058,185,344,036,
280,108,573,683,735,962,027,964,452,825,485,344,688,632,792,161,850,986,905,
490,596,563,596,158,861,722,877,216,107,224,734,465,034,896,917,018,597,969,
596,426,764,126,693,295,504,111,848,618,503,453,222,282,527,874,077,108,767,
224,383,104,370,831,299,291,830,884,778,879,923,111,877,268,185,137,352,923,
299,170,890,683,549,645,080,055,906,983,779,270,123,178,739,043,659,897,976,
783,675,439,247,467,607,603,635,016,394,790,434,929,648,749,803,319,684,158,
477,391,737,240,815,941,809,119,479,741,002,861,234,719,533,718,100,503,704,
523,697,433,717,674,029,714,098,418,134,354,603,786,883,940,660,992,078,323,
249,896,717,459,030,017,694,637,728,826,291,128,545,186,820,397,592,388,142,
347,466,468,439,252,767,257,656,104,112,295,636,847,848,850,152,930,652,823,
439,413,864,148,557,301,534,475,267,734,285,657,212,704,122,521,287,930,851,
150,691,311,451,167,833,124,160,948,381,068,302,757,442,304,980,382,304,068,
231,791,557,747,288,942,839,103,130,353,050,515,327,998,333,385,801,444,995,
745,904,665,433,216,357,672,215,578,567,346,448,165,315,760,373,646,406,154,
126,408,425,517,415,307,404,350,738,321,930,292,356,078,967,275,146,253,430,
127,119,394,163,374,252,995,950,393,708,883,941,706,424,664,345,410,123,346,
717,097,521,755,242,679,242,842,581,400,186,889,204,964,359,569,394,414,059,
235,233,740,506,007,577,704,931,913,312,141,544,195,535,181,434,134,597,308,
415,423,307,146,001,285,678,573,209,375,432,725,563,264,438,942,821,315,719,
029,107,650,383,483,568,285,811,433,964,551,078,115,790,329,876,971,206,985,
577,369,646,931,440,370,778,223,801,783,290,826,046,445,244,993,353,600,915,
670,472,431,671,262,977,842,601,092,922,299,826,839,110,696,319,844,830,384,
539,410,319,736,402,112,342,181,876,404,180,558,050,668,664,889,485,692,156,
592,780,056,540,879,717,136,317,305,273,116,087,199,316,217,330,703,691,338,
536,189,925,170,062,136,139,712,819,402,238,517,005,568,259,633,872,760,103,
650,671,053,041,348,098,158,211,411,931,128,418,158,143,815,752,985,382,017,
752,257,927,857,540,478,346,930,302,820,235,936,909,927,782,967,649,630,520,
459,287,175,372,316,649,207,152,788,985,959,585,771,281,692,272,935,025,290,
957,323,716,291,706,555,270,155,429,754,227,485,982,444,963,500,286,113,484,
314,453,946,407,876,429,752,832,210,765,852,143,402,673,697,295,864,251,198,
868,653,319,564,113,534,781,990,631,469,558,876,700,439,466,938,091,288,893,
153,029,967,361,227,210,591,955,482,521,383,857,841,720,696,806,508,497,339,
552,668,649,428,626,432,670,714,093,712,624,674,186,107,921,706,621,298,594,
300,594,325,464,961,661,194,973,528,357,516,226,696,096,405,197,387,699,231,
448,489,499,069,605,437,590,443,207,719,734,979,574,991,134,410,646,588,660,
715,443,638,245,462,186,542,728,238,183,523,859,272,724,183,314,137,216,767,
847,381,388,200,119,416,893,942,852,014,685,067,162,732,587,109,941,813,069,
666,649,250,282,983,941,526,891,671,141,956,351,000,042,332,547,596,696,308,
514,289,359,194,929,888,397,268,608,425,813,648,498,330,700,633,226,800,189,
859,502,119,778,759,083,794,132,416,207,356,056,431,028,460,310,754,422,332,
242,915,879,962,952,479,121,002,766,534,462,598,687,990,354,239,435,742,830,
454,663,486,834,686,881,588,320,180,556,607,931,311,346,943,317,204,871,505,
218,013,867,746,005,421,390,008,780,240,771,097,247,169,553,810,108,461,253,
402,127,478,810,991,399,479,729,268,274,506,400,727,799,855,347,906,258,774,
373,391,711,176,016,638,496,562,712,179,787,723,916,400,316,706,985,981,741,
574,869,171,281,105,097,493,035,793,942,178,776,126,758,987,299,492,365,050,
400,928,076,854,526,752,682,979,464,555,452,116,378,369,397,639,095,742,520,
357,778,099,555,321,001,738,186,319,012,369,889,750,353,952,602,545,738,136,
345,752,346,832,509,569,342,016,636,143,746,678,154,176,749,400,627,815,075,
773,439,913,471,615,914,760,115,051,247,555,250,300,179,670,413,702,254,953,
674,051,243,141,496,293,496,760,716,104,078,002,511,884,752,812,657,464,439,
440,838,583,591,973,477,319,252,568,038,649,572,157,712,956,687,922,863,066,
927,894,214,236,783,818,620,963,553,876,711,266,721,137,336,025,228,798,717,
712,549,156,646,561,023,513,228,517,640,889,805,316,252,962,634,039,401,506,
766,986,069,674,709,337,422,789,814,452,778,069,105,276,223,918,819,585,113,
176,241,696,626,624,555,703,735,570,405,666,766,107,234,792,667,024,363,138,
281,576,201,084,507,476,413,626,415,711,095,817,501,400,116,610,210,835,770,
785,286,253,075,783,541,379,091,778,539,197,495,594,192,910,531,440,562,427,
527,483,183,552,665,523,207,398,661,684,500,008,217,508,332,001,155,955,321,
544,766,447,274,832,557,916,408,826,393,451,514,862,178,846,838,477,699,220,
731,024,548,186,896,812,091,241,662,806,406,877,215,099,598,205,288,167,198,
220,515,361,182,530,094,357,602,121,201,228,834,928,295,276,802,623,470,928,
285,095,889,803,846,305,844,122,996,856,407,669,597,997,981,971,631,306,441,
415,827,791,299,133,759,867,366,137,340,911,965,780,370,833,993,657,012,679,
354,240,682,199,626,441,401,894,640,504,521,836,707,775,929,072,584,727,042,
781,724,122,740,005,520,501,454,522,642,839,527,319,621,064,035,304,376,466,
126,376,860,548,650,784,707,791,525,568,397,050,750,376,037,667,143,191,123,
384,241,960,300,172,082,832,722,832,365,636,726,922,381,261,810,755,010,177,
363,881,974,289,848,383,614,619,742,524,787,388,867,600,425,352,198,304,411,
875,498,633,391,820,827,111,103,293,414,084,369,687,226,834,382,245,267,731,
756,756,751,472,583,103,689,048,922,036,690,364,335,320,229,706,583,942,895,
412,307,473,073,716,716,768,968,425,103,833,625,618,608,208,135,110,073,457,
214,825,877,843,060,371,155,797,018,421,165,968,489,140,649,589,089,590,791,
918,112,541,936,032,682,132,125,303,227,776,310,056,451,913,937,565,653,165,
256,010,461,679,097,147,247,706,240,521,144,849,968,974,730,680,580,316,597,
117,237,003,814,877,983,104,947,019,271,451,882,370,283,856,096,397,134,400,
129,908,503,926,725,292,706,449,602,156,951,602,156,568,486,457,541,579,013,
458,852,777,968,623,607,930,165,627,242,607,433,399,570,995,236,122,590,763,
780,693,942,204,168,002,686,006,454,671,011,018,260,806,006,592,593,297,610,
291,899,308,452,205,620,771,057,091,322,155,899,827,695,671,197,797,109,788,
953,663,288,424,712,223,159,889,145,193,016,327,671,192,143,344,290,846,791,
592,048,034,143,345,175,022,398,340,549,064,946,608,438,433,213,570,518,618,
640,424,571,833,179,479,694,109,042,582,137,953,923,614,441,140,784,063,632,
021,019,789,413,686,283,918,852,914,584,953,125,557,303,998,646,118,038,316,
756,932,569,700,773,167,209,380,995,910,500,981,569,798,141,091,456,342,175,
542,176,662,351,472,884,307,361,412,404,137,395,895,086,541,849,190,826,553,
086,526,807,826,928,436,794,048,889,743,658,098,819,581,610,922,139,499,248,
883,124,846,291,748,240,649,355,192,426,898,253,622,373,819,053,839,299,898,
863,671,126,635,254,114,806,958,441,806,137,612,714,468,017,870,932,349,584,
810,377,409,560,258,988,811,641,607,910,962,045,294,524,596,531,434,969,442,
527,539,979,442,758,518,581,654,602,706,138,218,666,219,155,753,563,748,531,
555,048,278,631,850,061,583,948,045,020,460,302,717,778,693,605,330,196,177,
971,874,980,880,234,226,902,954,542,841,660,592,522,065,018,688,461,241,022,
071,708,297,487,518,985,172,813,483,657,685,610,536,462,392,435,259,788,010,
722,788,157,050,615,470,021,448,951,931,252,228,401,169,130,700,097,699,480,
511,272,999,017,588,864,786,876,524,867,040,236,149,360,835,846,575,246,669,
788,094,504,380,135,637,245,868,771,286,218,013,214,931,413,910,616,365,486,
409,863,124,516,458,507,955,632,360,605,260,406,922,499,209,020,661,516,922,
333,542,387,019,509,309,030,678,991,263,323,683,322,384,169,188,366,464,220,
528,800,159,951,434,184,712,168,770,233,311,727,951,952,389,589,007,430,248,
393,876,989,707,671,966,350,530,686,185,887,844,393,521,159,904,929,581,281,
385,345,720,267,327,506,439,123,741,001,803,903,599,014,290,985,826,377,726,
356,004,774,503,432,411,335,137,029,897,012,912,240,603,479,369,621,095,339,
059,040,024,919,811,012,504,347,631,023,845,215,620,674,653,753,663,960,765,
837,681,731,754,600,106,661,877,670,369,963,917,820,657,415,263,813,915,866,
373,771,628,087,994,771,514,598,918,149,790,885,135,276,669,451,393,982,001,
426,509,465,714,886,240,340,897,306,725,888,978,825,735,541,303,491,586,546,
895,492,987,875,155,324,319,032,083,652,936,150,839,597,792,505,888,806,611,
475,994,548,341,243,080,950,179,451,766,846,593,718,202,516,271,541,975,464,
898,524,457,452,400,037,531,466,138,526,640,700,127,640,216,673,404,673,541,
435,577,277,350,645,691,064,239,261,231,181,982,702,545,470,697,495,859,305,
764,167,170,336,230,750,203,334,001,835,847,350,865,205,653,156,359,630,607,
514,017,600,064,777,410,735,600,319,904,171,296,356,883,711,521,394,751,806,
296,446,070,768,190,134,195,036,613,631,489,341,314,915,998,958,362,318,476,
026,702,895,992,247,064,553,196,521,646,521,459,987,202,394,448,688,571,046,
107,274,729,301,870,899,681,784,075,648,625,580,767,157,118,756,615,159,252,
643,465,527,155,985,358,563,763,475,817,662,900,384,623,124,041,232,299,901,
585,430,778,112,782,244,611,703,153,872,994,414,946,382,080,939,917,041,413,
501,225,250,896,108,394,377,340,631,645,499,879,578,150,513,326,863,601,617,
261,616,710,651,304,304,285,798,311,900,103,326,522,201,738,160,738,398,653,
725,719,357,640,168,010,617,895,031,906,451,994,579,980,344,399,557,324,203,
696,012,940,542,337,268,412,158,418,902,571,468,889,954,404,474,864,260,929,
287,392,143,224,581,721,672,695,463,071,625,354,435,768,956,660,141,695,390,
265,892,739,505,248,243,449,890,355,933,936,093,558,215,960,168,641,354,653,
436,371,190,052,419,617,353,637,410,527,633,390,083,502,245,295,183,257,915,
311,217,551,779,546,504,866,860,284,049,638,612,906,489,926,876,179,719,318,
378,321,570,341,179,437,111,093,525,499,382,886,990,733,923,194,471,651,974,
932,160,084,615,615,129,964,912,830,982,666,201,900,363,945,036,625,946,169,
042,618,836,375,271,092,198,719,870,522,765,752,358,031,232,224,269,801,626,
711,781,250,471,115,268,082,252,970,036,881,283,838,016,090,563,466,682,122,
943,222,782,375,491,514,019,565,820,111,475,108,349,073,463,913,736,366,635,
709,442,035,291,204,618,297,648,719,099,903,529,424,681,168,515,812,095,919,
470,367,752,849,737,820,909,713,544,135,210,239,980,841,006,072,992,078,611,
636,270,135,840,226,519,392,306,196,105,719,158,290,422,427,944,671,605,051,
116,435,339,690,119,912,852,491,176,373,193,067,281,948,883,443,553,702,991,
591,393,047,239,640,796,717,070,983,280,920,962,558,774,774,689,674,508,404,
897,094,515,997,268,936,520,633,104,367,734,854,590,135,690,457,652,892,420,
356,382,017,637,850,952,650,913,804,033,886,924,941,671,666,317,224,369,124,
899,477,642,852,269,426,236,637,285,233,144,225,246,337,284,269,343,848,880,
126,227,259,127,325,713,446,174,355,498,306,482,745,241,457,369,927,150,207,
918,978,840,964,554,507,699,500,565,582,936,274,361,667,611,431,041,048,405,
161,995,101,424,204,081,141,718,128,845,903,044,214,249,033,909,611,037,719,
269,114,088,935,727,271,653,672,076,250,284,729,566,867,750,992,849,024,057,
864,268,410,373,529,828,500,746,864,969,368,770,255,712,352,294,569,066,581,
670,786,601,641,414,734,383,939,476,010,482,829,060,619,363,079,960,707,261,
036,200,584,393,558,545,511,941,172,747,717,349,697,772,864,434,944,806,778,
957,160,283,737,158,055,009,682,732,424,047,510,965,670,385,529,670,048,558,
374,164,316,086,070,674,160,498,412,257,935,494,057,972,549,305,224,789,662,
911,842,465,295,058,976,706,748,177,184,942,217,090,271,465,868,761,858,506,
521,048,036,551,039,971,815,777,253,766,810,687,815,725,779,769,363,838,617,
614,296,697,883,792,390,472,247,183,288,557,614,507,838,441,041,433,557,627,
173,082,782,202,375,016,994,286,145,520,956,185,918,857,416,271,170,065,337,
322,201,361,804,362,930,009,078,910,497,039,336,520,453,400,708,521,700,340,
640,314,625,188,937,063,104,657,400,886,075,116,526,519,869,658,199,112,921,
060,591,786,375,421,541,573,284,426,409,362,354,042,033,146,163,967,388,395,
735,080,656,152,720,868,089,283,548,061,796,386,149,199,900,973,728,666,821,
382,504,925,481,298,135,320,798,256,110,862,107,358,739,436,345,389,479,450,
717,924,596,085,819,763,666,609,191,795,069,173,367,793,136,606,757,461,971,
419,094,271,516,002,183,444,730,396,538,577,873,172,160,443,729,805,890,018,
851,272,180,263,555,589,712,762,911,496,966,412,164,514,169,178,104,201,331,
528,408,312,427,954,464,462,191,861,056,401,304,043,206,989,952,749,677,104,
533,170,485,152,114,459,546,427,956,433,502,858,971,250,705,891,592,656,384,
277,240,713,583,001,534,160,928,615,579,635,222,557,714,393,095,849,072,847,
964,767,817,439,817,846,341,182,339,134,530,550,363,034,280,042,521,242,732,
313,644,189,235,366,752,343,680,397,611,595,961,523,507,473,931,855,986,356,
561,709,371,684,836,452,955,162,240,736,180,690,427,279,882,636,360,605,280,
792,731,765,067,857,273,526,813,211,083,408,831,382,576,785,615,432,370,135,
154,007,540,104,190,209,943,421,859,980,637,575,071,772,227,293,732,842,166,
936,520,188,894,419,725,813,128,868,956,011,203,393,105,355,106,459,639,160,
690,033,759,031,302,508,225,778,544,446,315,190,228,655,530,388,600,475,705,
641,878,970,514,895,178,641,894,003,399,614,319,103,183,842,649,345,548,063,
776,887,431,562,392,254,382,104,401,609,985,270,643,085,718,168,370,019,479,
828,479,009,417,191,409,162,925,776,718,290,922,681,586,217,810,389,266,489,
767,425,524,112,569,076,225,295,845,109,499,766,204,230,570,063,304,217,061,
870,282,032,885,058,569,490,125,507,234,419,316,786,418,663,019,204,764,494,
310,401,040,845,954,121,178,827,006,854,960,846,192,827,410,159,558,318,646,
495,007,252,404,953,570,265,107,649,848,955,306,949,695,992,492,386,204,511,
142,675,368,042,037,625,810,521,269,309,906,855,291,966,313,574,946,301,286,
465,350,830,943,905,500,413,021,065,660,325,654,495,074,807,184,692,083,792,
688,759,567,025,126,381,308,613,743,924,313,526,713,159,502,603,440,328,229,
655,920,811,813,698,389,806,907,859,528,206,438,147,135,457,796,214,899,189,
363,659,176,369,929,457,333,705,515,176,315,175,569,156,559,899,536,152,329,
973,870,458,241,413,625,785,157,681,624,547,690,540,967,722,387,904,329,586,
328,733,483,187,077,058,476,271,536,365,169,817,680,615,339,781,888,482,261,
047,666,192,959,799,322,073,259,840,742,550,038,069,658,415,011,867,681,468,
441,937,287,689,684,657,374,317,138,757,888,611,078,341,413,552,315,622,020,
784,961,048,037,146,002,817,111,520,623,941,113,367,985,814,806,845,507,896,
639,484,390,234,658,946,006,764,675,711,945,510,858,589,383,251,308,861,485,
865,020,646,716,789,970,354,919,786,036,080,955,886,770,577,142,721,385,840,
222,616,270,808,950,463,362,095,860,968,144,728,330,710,823,919,926,681,426,
898,269,933,483,026,628,288,211,458,321,511,504,179,781,657,034,073,047,527,
740,968,754,678,457,809,918,089,925,579,178,844,715,940,249,262,167,571,340,
395,253,784,925,833,585,203,284,532,791,876,185,676,687,596,842,363,265,367,
148,938,027,347,862,710,924,927,901,207,525,516,536,671,904,723,905,739,081,
959,522,689,386,011,075,541,161,761,714,924,789,055,607,366,814,464,866,565,
819,582,608,324,284,020,950,979,768,869,483,966,063,119,074,567,459,757,102,
254,848,083,487,209,044,784,408,320,799,101,759,325,048,091,978,300,335,467,
657,822,583,623,532,222,456,291,114,670,498,722,863,537,113,733,269,355,158,
082,959,734,485,472,948,287,877,162,154,055,102,343,404,983,789,356,688,387,
531,181,469,480,754,537,811,694,984,811,505,029,256,474,683,292,450,447,150,
095,403,374,943,939,632,244,941,976,499,290,730,079,378,959,997,323,379,589,
779,353,225,138,019,716,373,131,831,817,788,606,232,389,561,048,184,976,530,
590,007,433,865,139,487,111,420,208,709,290,087,387,038,331,787,570,049,148,
698,865,607,250,326,325,086,901,074,957,146,290,628,023,476,944,942,147,890,
250,568,944,853,115,368,621,101,415,525,370,212,821,752,478,181,527,267,140,
007,336,342,488,602,964,803,836,436,911,558,267,787,573,785,791,331,064,258,
065,568,064,657,385,394,854,622,704,559,408,198,445,020,512,978,947,037,449,
990,827,688,806,372,586,352,095,397,083,518,395,402,321,603,629,988,425,380,
133,151,787,448,404,804,546,387,664,376,585,478,727,986,079,200,216,053,619,
483,820,846,702,817,819,592,226,071,291,467,455,893,418,445,904,818,864,074,
923,364,108,299,560,605,817,355,985,544,573,547,928,530,351,229,030,150,407,
637,750,910,741,870,127,238,576,201,865,399,759,180,645,591,710,330,071,226,
307,987,911,865,044,640,367,510,632,904,201,946,572,684,715,665,183,528,429,
928,712,051,679,880,268,237,948,891,181,398,142,298,608,659,334,846,880,902,
776,960,719,505,313,451,037,188,309,651,345,604,850,417,768,823,882,784,927,
854,280,087,351,572,223,166,183,677,710,610,657,955,189,536,628,638,826,833,
879,023,080,410,335,267,472,939,803,949,519,599,170,298,406,599,457,319,148,
490,440,163,577,743,092,342,317,689,119,886,220,883,110,756,662,004,971,749,
970,372,281,728,805,692,298,856,807,403,172,932,324,894,100,079,632,414,592,
671,243,891,251,689,840,158,964,361,172,249,506,821,057,399,777,109,162,838,
473,430,645,030,333,964,351,759,085,600,478,480,129,630,770,483,591,920,568,
569,444,167,242,553,315,218,627,986,617,302,520,282,608,431,018,505,289,620,
538,855,738,220,565,002,386,845,824,087,918,154,684,959,903,797,217,445,252,
842,577,760,853,892,698,267,403,559,323,940,239,251,399,772,601,879,927,930,
973,841,036,362,601,374,742,047,865,493,816,013,886,454,106,773,234,001,868,
380,492,281,943,877,630,441,482,050,586,439,438,961,455,730,506,403,656,918,
896,862,863,384,231,553,662,587,783,857,432,918,776,921,106,589,071,457,616,
555,275,827,104,727,648,843,078,123,363,260,916,168,101,541,781,249,760,341,
517,766,393,855,615,018,687,181,837,842,155,535,375,472,626,550,765,027,570,
421,134,521,289,902,913,569,615,623,128,400,506,290,281,837,014,225,406,792,
546,836,340,182,264,345,597,581,341,398,529,053,359,535,853,652,343,321,293,
621,264,400,086,982,473,196,851,978,626,852,023,393,533,755,159,150,441,082,
380,880,106,023,542,437,677,279,514,525,614,767,214,407,391,327,331,674,484,
553,744,993,000,872,680,393,524,346,104,129,337,321,821,532,377,845,579,926,
549,296,877,556,838,642,445,135,862,992,021,279,544,721,936,603,214,509,806,
647,711,970,438,395,749,125,413,429,195,812,608,424,815,331,319,544,636,745,
701,702,446,628,094,373,837,169,536,535,284,927,654,014,157,353,072,648,240,
554,047,289,081,041,202,256,445,520,116,270,979,835,748,932,009,243,352,521,
733,982,822,483,193,595,876,147,427,104,785,822,933,165,642,239,657,953,691,
911,124,569,527,836,854,450,747,199,408,713,196,807,424,094,922,505,563,233,
981,454,808,810,834,309,138,445,249,651,201,877,330,356,212,217,063,296,678,
768,465,475,550,667,050,190,171,341,964,448,605,261,670,154,335,578,739,884,
693,489,322,009,015,822,855,145,340,531,793,287,058,232,912,494,285,624,470,
791,995,850,939,132,741,609,508,403,804,231,697,830,497,868,838,046,217,609,
459,284,793,431,479,623,390,082,901,664,015,945,172,534,077,950,909,711,671,
341,145,099,123,106,570,563,003,862,866,508,574,438,230,830,980,928,682,864,
214,233,465,305,970,347,338,146,397,441,194,413,805,887,516,167,746,637,222,
543,205,183,073,299,685,598,680,007,461,578,268,730,862,415,584,007,458,641,
763,020,026,987,714,409,126,236,495,124,154,709,596,610,417,144,054,171,392,
034,905,924,497,084,613,224,264,539,505,403,812,810,022,228,094,117,908,229,
977,713,015,961,153,160,383,678,738,981,543,096,827,710,963,473,768,380,213,
097,330,626,764,284,585,095,038,767,625,955,255,549,674,420,058,931,607,921,
382,495,175,853,562,906,496,209,549,790,101,543,442,379,996,202,150,097,891,
526,402,534,507,831,677,226,673,454,513,795,782,589,117,276,419,404,310,636,
115,311,649,859,691,946,704,543,088,835,391,406,260,565,252,811,319,593,539,
669,958,888,533,668,327,932,127,693,265,355,478,682,931,889,244,600,886,790,
693,589,762,639,062,915,654,121,024,593,740,546,167,653,414,118,888,843,546,
912,728,146,838,851,395,397,536,564,927,057,403,370,800,324,331,061,669,142,
917,822,350,543,242,098,878,488,081,691,793,874,214,951,694,286,023,079,321,
457,998,715,975,258,441,483,949,134,990,945,160,556,003,543,303,546,850,444,
462,365,096,806,009,248,158,079,624,046,164,145,719,011,801,844,935,580,432,
734,594,256,563,659,506,064,821,611,331,371,249,168,763,234,063,669,147,823,
069,395,068,852,387,431,580,218,278,897,621,264,691,547,675,785,280,722,170,
614,950,403,826,858,066,703,210,415,100,781,597,207,747,010,459,865,020,518,
065,730,170,805,918,780,291,465,517,648,597,450,526,332,289,665,273,878,712,
257,003,737,725,649,228,733,832,818,001,611,515,443,335,846,024,184,104,983,
592,258,363,878,083,163,421,950,219,494,629,535,039,256,412,317,325,383,873,
582,857,219,698,718,841,175,958,744,955,958,355,778,504,427,776,383,624,783,
063,008,151,752,352,079,856,845,793,144,320,937,429,093,736,485,935,613,051,
921,170,058,972,800,645,671,632,985,157,136,925,712,612,778,375,308,752,454,
612,135,959,273,651,365,900,561,079,348,317,744,192,494,050,633,764,197,191,
398,106,657,563,785,030,044,831,309,964,667,591,558,549,082,436,948,331,976,
319,943,206,347,805,082,593,058,013,357,455,416,699,665,424,936,302,966,746,
347,241,040,180,575,000,176,745,815,807,475,601,059,120,926,989,358,944,422,
670,733,408,542,098,704,718,270,043,640,003,579,511,911,169,668,974,988,503,
304,363,501,237,920,705,105,056,194,454,694,737,898,278,453,920,801,406,475,
730,696,339,944,077,631,212,528,213,325,940,291,734,384,449,164,256,634,601,
887,774,291,493,544,267,115,607,432,703,027,531,674,300,758,757,207,576,745,
973,929,030,518,240,881,185,827,414,459,259,327,924,268,850,920,768,044,547,
275,243,360,945,184,252,406,216,684,145,215,140,913,083,240,399,223,322,506,
369,252,862,656,652,451,612,400,554,918,380,702,550,949,397,566,666,461,945,
076,806,802,788,450,874,310,940,663,930,241,783,751,071,976,567,999,457,241,
955,645,864,353,781,469,402,246,310,683,998,420,280,686,576,392,282,252,138,
470,731,741,196,667,147,493,217,598,850,819,375,250,039,999,550,221,072,303,
844,033,588,859,349,665,687,975,460,128,735,324,038,629,844,489,825,190,187,
532,174,995,105,097,404,328,765,934,502,701,840,038,127,249,527,107,881,360,
491,100,697,576,518,947,618,050,969,388,920,220,448,140,981,029,540,344,618,
259,251,085,477,702,111,919,616,554,587,628,985,528,185,234,841,804,736,350,
192,475,371,578,500,125,825,600,179,997,998,552,921,659,087,759,520,346,278,
160,891,158,710,371,194,605,933,347,572,308,155,905,458,432,046,688,854,875,
687,178,546,879,042,370,610,859,111,416,966,921,965,783,810,023,255,159,869,
624,568,213,091,844,726,538,427,050,747,089,932,795,045,117,673,031,859,050,
242,857,422,865,246,311,083,261,436,618,268,635,515,868,794,019,982,961,203,
921,262,870,406,751,712,872,425,054,735,176,284,413,253,562,269,997,314,045,
986,372,598,686,051,512,234,602,009,022,293,377,352,476,051,515,715,007,302,
892,648,633,409,063,229,177,305,185,023,153,559,216,887,055,547,157,136,303,
309,582,581,651,265,023,245,053,633,239,523,691,910,085,024,397,308,095,970,
553,115,338,016,543,446,998,174,514,315,276,789,343,526,044,503,591,840,727,
210,701,389,968,522,154,821,278,534,338,782,039,463,524,315,110,710,448,047,
480,578,585,121,079,900,946,204,338,530,466,078,679,465,664,877,670,931,051,
137,631,790,891,223,523,506,697,671,302,714,039,672,621,608,366,503,417,354,
160,936,278,396,970,783,972,565,807,930,014,953,351,918,109,913,000,849,267,
723,765,752,658,978,571,998,448,997,834,422,877,018,563,776,539,590,803,662,
510,622,365,177,034,549,390,834,276,191,118,429,303,948,398,478,304,024,597,
869,973,417,172,382,812,429,306,964,564,618,699,297,678,017,964,157,457,545,
090,817,177,290,017,507,328,113,922,156,734,831,590,012,740,424,345,699,008,
857,955,991,376,644,026,436,626,398,032,910,607,646,569,385,082,050,135,762,
764,403,108,096,390,194,846,170,333,918,220,750,466,731,206,428,069,774,506,
181,893,567,107,515,040,949,272,709,018,779,460,444,238,352,863,256,682,343,
945,915,056,693,496,631,891,464,181,325,826,425,374,018,954,236,050,315,048,
625,924,156,526,148,323,619,519,443,140,102,430,974,772,797,906,664,729,095,
103,821,662,821,670,394,321,924,181,496,520,474,403,082,772,551,230,957,657,
210,052,444,689,989,778,407,254,838,681,928,680,743,587,481,492,707,929,221,
943,984,412,500,404,438,966,503,101,208,883,911,785,287,550,714,529,088,517,
693,641,631,289,136,183,279,450,613,225,344,998,876,113,059,496,957,535,353,
844,413,681,811,144,815,960,557,775,521,479,681,532,100,019,222,136,067,637,
320,233,897,916,730,799,657,267,984,165,236,906,641,920,550,851,871,730,327,
195,375,768,882,180,953,459,675,413,272,154,815,669,365,768,981,805,983,819,
324,664,720,621,258,148,421,938,687,942,346,946,171,058,792,950,060,736,024,
688,780,911,464,567,690,497,556,582,767,016,156,104,998,899,122,049,313,958,
245,240,268,065,237,567,390,429,376,878,485,718,421,748,400,052,646,837,506,
936,759,225,907,676,824,466,247,773,981,882,577,127,878,663,780,129,441,286,
175,736,438,111,082,260,294,559,732,698,918,628,552,784,029,127,150,576,313,
996,313,735,141,540,784,418,060,181,316,288,877,618,744,272,208,107,981,156,
832,030,959,375,233,126,303,376,235,894,197,342,847,665,017,308,106,585,760,
531,235,655,054,483,761,237,980,129,458,279,854,279,079,580,556,594,765,228,
294,437,912,056,420,359,290,360,476,022,070,579,035,438,909,494,890,497,288,
562,618,889,116,861,066,602,481,358,367,760,815,436,712,639,928,635,127,029,
401,613,065,601,418,571,699,611,220,802,341,723,183,772,836,800,759,987,060,
389,750,023,165,980,117,847,422,247,267,690,808,391,195,096,579,930,466,902,
334,290,184,346,130,758,997,600,971,679,049,475,015,141,286,597,801,282,562,
888,199,181,765,738,975,533,787,606,936,201,269,043,809,832,702,463,912,240,
680,419,904,140,146,650,205,183,642,590,672,040,794,427,365,113,274,364,944,
909,005,649,716,665,953,241,415,979,291,173,047,647,708,337,400,192,185,206,
001,156,315,957,463,240,215,458,545,190,142,626,703,304,631,623,311,022,782,
455,427,414,682,220,957,066,529,342,166,240,276,238,715,903,473,919,039,728,
533,034,641,074,263,713,097,832,061,050,315,688,594,484,599,797,694,053,426,
251,387,150,621,830,044,991,774,189,618,563,283,967,386,869,076,287,627,939,
036,459,520,358,307,902,621,194,805,520,173,935,435,959,658,675,234,995,882,
345,994,639,032,049,732,275,239,007,240,666,178,179,663,767,052,447,194,871,
984,998,109,525,609,706,172,540,120,231,854,767,420,198,591,792,598,793,186,
978,072,244,079,237,980,929,568,211,602,262,314,516,653,322,972,076,453,555,
159,517,171,968,138,684,160,799,585,575,062,148,721,912,575,785,994,896,455,
855,701,728,623,125,794,638,085,646,676,198,230,880,235,970,169,571,822,511,
695,586,032,481,670,957,980,262,807,224,454,371,558,299,588,679,071,045,883,
063,830,765,608,904,156,062,620,092,139,247,053,040,827,634,762,549,832,415,
147,490,531,525,574,889,126,257,788,462,822,504,596,186,114,007,281,143,764,
007,256,181,295,308,022,196,469,335,256,057,727,836,408,292,922,122,015,306,
412,329,523,662,121,925,671,402,587,100,774,255,635,072,936,201,343,443,606,
801,409,437,445,753,354,532,952,707,872,937,162,143,482,242,425,272,787,671,
977,224,838,616,114,987,834,225,199,122,914,385,636,150,682,042,291,036,882,
596,401,540,146,928,623,397,195,311,867,352,926,604,130,854,214,540,505,523,
618,050,371,051,824,800,206,120,577,914,574,776,899,409,489,208,633,502,434,
647,500,648,811,915,014,392,195,242,105,764,216,317,578,721,247,805,500,167,
661,772,177,742,984,033,285,612,882,350,143,091,160,460,256,457,763,416,197,
014,776,992,270,539,165,338,076,513,759,246,755,738,867,142,604,580,017,947,
631,208,164,874,853,217,556,020,406,624,404,909,954,735,641,387,060,487,134,
165,973,779,229,632,261,020,903,921,780,793,522,535,865,317,187,557,942,239,
930,227,867,206,959,572,316,179,717,393,959,682,373,495,837,986,855,403,384,
455,974,555,820,633,498,354,576,742,303,665,055,420,175,766,337,550,736,401,
524,906,768,785,957,145,391,964,376,901,509,745,547,819,194,506,179,010,327,
544,137,107,572,176,927,802,448,888,935,960,722,412,381,790,308,414,065,236,
213,405,664,080,810,667,936,015,506,446,570,000,600,666,336,156,596,862,944,
959,617,635,185,938,420,712,924,806,817,673,724,084,495,834,079,081,418,783,
006,202,289,688,879,123,694,320,764,905,473,088,605,438,235,574,188,909,386,
799,085,555,557,416,229,655,369,547,362,594,769,652,124,933,951,347,737,039,
697,856,750,286,293,464,266,117,373,231,314,399,737,441,992,455,641,749,143,
615,821,170,514,199,910,592,851,865,839,045,848,983,963,071,286,961,811,536,
308,136,476,747,027,037,337,455,869,211,251,701,013,872,067,546,119,840,832,
772,343,428,540,079,269,279,965,956,512,505,388,405,476,429,093,416,708,718,
602,935,300,928,703,279,779,686,525,156,456,787,539,276,947,710,757,756,987,
073,542,224,826,802,146,012,398,659,086,983,648,764,933,277,918,089,354,182,
517,815,735,127,466,332,407,653,917,634,952,238,571,982,150,105,087,088,859,
385,915,873,225,031,528,384,044,372,637,562,369,213,578,170,545,215,123,463,
543,396,481,805,264,003,029,321,626,954,108,822,008,988,639,446,143,944,118,
526,287,873,266,073,322,919,961,552,888,705,371,449,943,537,090,860,775,559,
427,074,081,233,492,386,878,310,914,254,782,587,224,874,129,648,704,337,214,
537,377,306,611,413,862,953,316,939,349,829,472,756,998,420,101,107,323,441,
138,836,287,373,500,415,106,945,524,406,835,231,905,314,125,106,721,968,849,
131,812,664,506,341,376,330,400,545,327,935,195,994,593,362,093,229,518,964,
429,921,511,805,181,376,891,273,427,381,089,463,234,210,076,025,135,588,222,
743,193,772,643,626,729,803,953,834,562,878,044,254,084,182,070,301,841,598,
423,449,995,707,099,196,872,851,779,728,285,186,658,091,463,998,749,514,915,
777,384,005,318,373,963,281,733,943,244,230,832,108,675,801,225,824,438,460,
794,041,288,185,492,204,700,829,380,627,968,637,853,291,825,055,439,124,223,
708,849,301,121,896,417,892,072,505,782,625,618,877,506,522,473,028,470,070,
389,042,191,862,028,834,978,821,518,012,727,888,027,167,474,227,527,194,118,
988,899,101,868,050,645,060,590,502,409,060,309,011,179,858,798,418,832,531,
228,007,005,859,209,891,002,258,171,952,673,584,018,358,616,653,262,572,025,
863,043,905,185,254,597,433,067,621,899,271,852,145,834,806,203,006,777,565,
078,453,521,885,890,780,092,604,196,281,141,904,781,411,771,373,369,478,427,
444,210,259,527,274,049,873,405,829,875,691,979,690,836,061,790,136,576,382,
973,924,953,206,660,858,685,998,793,696,966,438,303,469,897,988,343,922,830,
657,667,743,186,309,846,561,403,549,155,126,790,717,459,780,213,751,849,486,
649,731,278,322,761,416,892,657,294,739,951,404,322,962,100,116,856,151,891,
962,352,982,607,933,866,796,173,270,353,323,804,213,656,268,797,358,863,806,
604,503,771,688,921,009,326,686,241,984,244,453,427,773,703,490,872,793,628,
886,111,482,879,854,839,640,173,563,441,185,755,591,534,060,213,545,324,310,
475,596,062,453,353,939,632,353,929,921,850,449,599,462,553,000,026,586,922,
900,089,279,288,059,751,364,267,085,159,097,431,356,354,690,554,541,969,158,
669,501,420,628,940,788,602,355,446,002,143,827,134,488,621,109,567,387,704,
844,031,300,150,124,139,946,264,315,633,462,235,832,724,647,415,999,606,394,
043,653,789,857,465,546,669,601,550,174,487,060,008,999,257,144,844,534,979,
436,409,747,864,426,334,391,384,779,934,983,163,167,276,411,934,277,364,361,
516,067,149,018,882,683,452,187,172,026,639,476,822,734,622,415,809,806,393,
126,888,280,645,388,677,177,821,410,882,407,832,235,192,944,737,839,630,291,
491,824,265,996,206,786,514,138,283,509,069,912,027,103,846,802,763,558,099,
406,866,060,143,547,857,810,734,379,831,003,627,392,365,431,030,926,522,049,
012,861,346,001,009,165,703,714,001,087,892,015,774,439,241,311,708,248,510,
017,889,262,601,084,661,257,767,097,751,482,611,294,276,248,504,740,066,270,
511,705,005,535,610,135,417,220,674,887,717,331,099,395,699,344,956,666,085,
217,261,223,218,853,959,731,043,549,744,218,642,097,063,602,352,082,804,195,
917,035,641,712,964,389,979,201,488,856,746,762,300,566,804,689,901,159,064,
983,645,826,433,070,047,543,780,291,055,470,820,869,633,508,723,583,589,147,
863,132,959,545,213,032,435,973,350,837,685,900,055,396,145,360,434,675,644,
479,648,972,446,155,409,953,719,269,752,277,420,400,065,522,392,856,425,195,
284,621,572,060,087,893,833,029,878,576,949,124,801,368,342,024,525,622,160,
736,020,650,544,552,267,459,532,733,587,584,899,624,713,945,546,659,588,180,
592,890,587,396,697,347,263,865,577,484,343,812,621,368,140,781,387,001,675,
692,080,815,023,352,539,603,698,994,072,643,287,841,442,450,046,612,765,602,
115,957,820,432,818,876,537,351,130,924,453,568,533,736,883,130,062,958,415,
982,650,514,676,985,859,970,904,701,727,938,425,963,475,419,492,557,610,764,
563,374,520,492,216,772,524,124,883,825,304,806,672,556,116,835,580,378,041,
662,874,345,352,301,744,098,140,857,583,988,011,451,108,249,071,204,909,476,
549,456,005,781,332,147,281,980,948,368,957,688,049,894,742,174,978,412,127,
281,360,982,006,413,071,825,934,917,930,154,628,366,592,902,679,800,073,608,
494,788,829,837,441,546,427,170,754,709,342,130,240,465,956,111,355,171,927,
049,625,842,553,872,729,442,886,989,724,939,719,278,057,631,532,451,151,141,
725,350,618,383,948,314,713,750,071,999,603,836,478,591,206,570,803,083,877,
330,787,337,584,406,079,196,871,494,231,241,235,733,481,247,664,210,555,729,
928,253,217,686,590,990,431,193,832,907,831,986,682,366,233,784,798,442,102,
806,337,159,149,429,390,249,401,096,124,770,235,930,960,142,186,278,183,088,
327,249,012,018,365,933,907,284,886,738,968,199,629,792,739,597,355,619,170,
624,272,341,244,811,590,550,330,982,649,494,896,012,488,779,784,688,281,130,
166,939,120,239,837,541,394,371,305,020,747,251,779,236,938,673,674,721,453,
989,960,690,884,191,284,066,279,508,979,087,017,345,547,946,994,254,894,682,
606,616,540,925,315,028,988,005,740,500,879,777,116,688,405,273,278,796,946,
289,750,945,581,164,813,193,891,551,498,329,146,642,909,909,267,153,861,312,
975,436,366,115,819,199,329,153,154,567,076,299,253,500,398,263,752,513,102,
021,246,749,569,658,492,975,427,876,346,040,165,251,178,127,778,491,723,867,
605,226,242,831,473,721,480,964,330,892,656,841,710,731,742,381,807,748,633,
048,493,789,012,152,013,433,168,772,529,590,898,994,173,106,694,918,860,580,
753,776,749,086,415,420,176,894,217,881,407,566,510,652,295,626,093,075,734,
181,469,013,430,035,810,428,683,086,091,626,145,521,366,257,172,549,302,125,
770,311,935,481,742,895,325,351,111,223,525,567,768,158,043,687,145,289,526,
089,222,324,109,084,457,648,351,835,508,758,440,779,384,623,159,963,508,910,
811,196,290,424,534,836,588,750,974,826,986,791,490,364,069,142,963,222,405,
533,231,966,305,233,719,105,833,941,730,985,527,923,608,783,301,815,055,099,
509,291,203,094,400,475,420,013,245,199,845,285,284,383,721,808,399,706,985,
793,414,794,262,885,674,500,514,929,818,925,403,246,447,034,678,991,945,333,
913,137,660,934,848,849,880,756,927,793,409,476,102,689,764,110,676,393,678,
823,535,984,871,666,647,533,600,698,284,768,111,097,706,958,598,499,873,084,
733,738,873,848,912,950,008,026,613,706,387,732,673,098,239,215,944,145,569,
338,686,600,883,041,388,128,311,943,367,621,278,171,200,187,950,969,321,326,
259,442,627,356,337,886,127,235,694,360,270,134,326,284,764,470,812,564,214,
908,736,505,190,857,843,121,249,041,513,202,798,549,541,039,135,059,566,310,
591,883,019,998,382,969,234,008,878,230,547,671,126,130,961,368,316,833,175,
918,157,269,387,004,537,209,719,357,155,376,896,467,076,010,072,359,355,852,
565,101,901,234,229,804,333,295,436,144,286,715,241,101,887,812,675,731,971,
694,365,919,035,289,886,000,622,409,866,763,494,325,465,284,118,486,821,821,
317,562,959,695,165,021,118,294,593,101,928,953,194,513,000,840,905,243,335,
073,777,963,237,043,129,271,381,916,323,576,221,555,901,812,791,464,214,149,
347,942,394,335,515,177,425,847,735,136,886,577,368,551,133,221,315,919,760,
558,623,274,557,963,807,890,829,781,612,419,583,124,660,014,643,132,176,710,
768,173,902,576,625,366,075,083,590,306,937,171,505,937,515,399,771,568,885,
174,788,938,959,687,186,981,574,277,183,054,807,867,640,547,501,042,487,743,
877,400,903,910,424,526,919,798,336,042,081,089,118,589,758,743,056,891,039,
934,837,360,391,852,808,066,082,035,224,376,024,728,945,432,960,837,067,334,
183,852,493,993,570,714,263,132,713,878,673,886,596,863,133,606,722,426,727,
437,761,658,686,643,216,738,424,907,987,353,163,817,564,303,776,771,029,770,
073,594,082,928,945,604,867,513,661,603,002,632,030,703,736,317,297,446,457,
206,793,789,617,476,890,401,874,736,763,752,497,066,053,542,110,693,549,689,
329,290,693,711,589,432,351,491,362,175,562,337,813,805,835,306,311,740,708,
023,174,230,305,231,968,571,888,634,363,754,401,397,425,814,627,530,180,776,
940,695,063,045,237,955,787,063,353,497,170,634,723,140,974,328,363,635,071,
396,204,780,116,277,208,329,308,319,359,917,404,709,436,184,243,606,293,456,
113,333,127,034,776,040,486,377,726,211,271,954,966,524,003,031,124,527,363,
592,786,848,945,739,194,059,024,380,309,887,461,884,048,894,356,438,250,713,
654,747,038,932,433,929,898,161,962,422,933,179,844,745,204,062,984,253,084,
926,939,038,570,406,533,853,893,839,540,426,840,426,102,188,789,064,385,060,
118,281,359,519,085,992,010,596,984,503,852,546,299,441,951,816,631,353,193,
195,322,874,896,102,307,279,206,042,326,208,196,327,673,163,883,464,263,384,
864,651,786,857,075,457,814,598,306,409,541,343,185,915,168,778,324,603,167,
167,494,330,286,427,481,282,815,767,590,848,584,125,250,225,290,012,821,844,
430,667,678,016,282,158,616,175,277,201,597,474,470,047,486,979,481,448,775,
567,614,293,666,479,392,751,494,683,617,001,848,057,620,501,624,833,375,670,
066,176,290,049,583,940,503,370,489,492,063,293,632,652,630,774,479,106,250,
238,992,516,171,114,343,160,835,563,009,115,609,878,580,063,653,993,298,878,
983,503,143,963,520,816,762,772,693,208,134,120,806,937,618,271,736,610,457,
914,638,954,712,045,659,667,414,617,089,289,481,294,283,992,232,538,792,031,
353,406,967,435,826,480,346,200,674,451,379,051,263,127,088,311,304,840,430,
623,193,275,320,274,190,414,551,523,472,384,427,003,856,150,818,501,340,966,
381,923,354,538,209,966,690,292,312,044,355,198,959,102,009,560,795,947,490,
179,088,838,177,911,262,352,421,916,001,514,067,904,183,139,013,562,343,554,
232,330,856,177,926,932,175,578,700,148,757,033,447,753,919,561,251,018,236,
390,014,188,871,936,556,102,202,348,206,163,593,551,047,015,784,572,862,456,
185,305,324,951,920,171,327,406,867,080,968,222,816,220,839,723,281,030,089,
072,561,878,462,509,264,734,624,416,825,814,691,525,657,739,488,416,169,084,
165,906,719,605,759,608,546,716,644,378,600,235,364,557,219,073,324,901,385,
545,699,293,055,993,049,372,038,640,630,978,904,974,299,318,376,601,440,307,
204,645,574,980,112,098,150,395,978,953,028,417,651,817,549,693,295,150,126,
455,395,740,687,084,808,558,872,412,054,819,187,612,094,298,470,897,919,855,
784,563,945,105,622,217,333,660,446,313,886,433,732,900,514,645,426,419,023,
228,585,890,561,864,774,841,067,937,862,902,726,017,579,472,403,363,097,328,
590,321,587,161,649,918,980,708,628,872,022,090,397,064,153,967,348,993,926,
191,649,960,644,232,855,824,871,211,063,840,260,682,196,175,182,020,863,762,
619,036,581,189,178,386,519,734,236,578,970,155,373,759,103,656,648,232,185,
655,850,755,582,341,251,571,670,126,503,946,385,287,058,177,520,840,502,480,
295,548,098,661,269,539,607,980,583,826,521,070,260,550,959,870,864,497,664,
240,759,963,034,117,596,913,642,236,127,186,146,263,465,336,180,784,685,643,
862,172,733,517,762,375,272,281,537,368,138,719,517,551,922,449,352,316,976,
237,730,302,490,339,558,698,464,278,535,803,731,317,003,147,606,294,607,574,
615,211,725,968,958,621,457,536,219,852,989,411,234,018,895,467,547,048,031,
296,589,841,505,781,674,373,259,837,783,126,558,070,624,499,946,943,634,427,
062,976,380,483,823,347,867,521,659,652,301,663,165,172,283,574,323,588,905,
795,622,128,296,757,602,178,593,966,080,370,795,086,512,118,007,870,843,089,
037,076,847,594,560,720,779,234,618,071,106,251,113,735,854,711,399,818,430,
262,453,838,347,759,882,950,282,575,636,916,284,438,344,787,734,152,006,748,
663,529,190,394,680,316,048,585,097,309,808,476,827,284,415,260,506,579,687,
377,136,970,100,536,600,917,307,194,345,191,578,027,650,675,915,122,097,556,
436,749,045,933,258,285,348,113,316,863,708,081,115,158,784,477,133,825,125,
017,565,630,837,036,752,325,919,250,514,665,127,723,879,139,932,453,223,200,
713,162,594,316,174,345,055,576,975,196,896,905,188,338,002,085,489,531,972,
880,218,080,403,995,590,726,036,013,578,492,218,486,101,396,283,917,532,404,
535,021,780,120,923,100,932,039,159,050,578,777,184,942,857,788,891,045,493,
569,769,929,291,175,997,444,177,414,813,336,902,473,003,027,898,907,171,244,
983,847,151,385,004,780,144,186,269,482,326,285,001,619,668,324,041,800,586,
878,119,216,892,306,327,041,219,327,902,888,988,210,156,169,345,476,018,481,
476,463,685,798,566,965,208,713,499,373,040,689,192,731,487,722,387,860,505,
872,255,298,865,863,316,976,544,220,874,926,283,178,113,097,396,602,962,258,
277,753,822,557,966,214,001,510,353,579,345,681,694,677,250,086,102,353,251,
044,223,107,000,372,264,709,728,083,780,274,933,364,086,060,733,547,987,800,
448,071,320,796,709,965,002,193,225,137,574,707,383,596,583,687,575,558,897,
990,588,051,294,591,602,250,811,218,403,074,610,591,329,033,647,952,287,320,
124,364,411,626,664,767,342,293,647,206,815,346,528,168,933,563,669,995,432,
840,591,143,813,837,530,049,019,196,490,516,899,466,834,864,327,292,821,163,
254,438,920,354,550,271,081,027,512,772,576,341,578,112,470,824,946,435,475,
737,455,097,434,736,312,697,015,036,946,129,220,538,486,645,388,288,531,072,
515,371,004,635,099,748,746,881,491,334,571,939,718,512,996,679,384,808,416,
289,355,525,140,334,258,676,660,014,802,359,072,008,914,107,225,073,448,582,
522,533,549,767,758,045,459,677,369,802,240,051,978,482,309,901,699,010,710,
427,364,778,250,555,913,956,219,961,288,900,863,132,619,106,574,003,643,103,
602,203,708,420,953,076,703,904,598,063,667,105,706,959,768,001,742,917,783,
810,850,152,086,499,639,980,693,682,630,986,630,769,187,009,961,445,907,788,
961,404,877,196,166,347,280,167,596,901,800,496,401,135,938,608,963,843,467,
793,612,107,148,967,636,461,891,693,569,830,451,048,448,192,315,434,798,511,
473,084,119,507,543,259,889,123,123,415,293,635,780,078,618,155,528,666,519,
704,645,370,225,711,531,106,793,863,269,989,140,981,340,952,118,175,581,351,
859,556,165,917,693,785,142,390,668,957,958,468,725,287,285,067,971,690,885,
876,448,408,556,517,203,817,414,375,484,012,333,887,600,189,080,035,064,477,
179,809,607,941,978,045,556,700,723,764,826,855,169,699,593,054,537,948,688,
713,334,535,901,418,638,107,446,907,861,631,888,607,729,999,548,850,091,029,
838,733,179,407,610,042,922,732,475,121,670,678,516,660,723,549,985,330,812,
577,100,401,179,773,646,649,998,700,672,762,798,804,982,624,021,793,934,220,
647,116,461,278,242,482,073,768,076,486,261,858,747,238,249,905,942,356,086,
849,438,339,580,396,160,403,835,195,953,589,335,667,277,566,915,681,496,740,
399,735,047,758,848,215,480,212,192,828,824,290,027,231,075,970,316,303,864,
880,486,903,187,795,726,900,245,892,350,232,837,649,837,103,191,662,516,809,
868,710,067,311,364,947,324,494,654,417,144,581,237,162,471,116,927,163,882,
547,418,356,115,533,159,846,496,179,756,988,774,320,376,776,479,289,213,958,
993,414,398,051,093,984,728,580,056,058,603,524,657,665,933,581,351,536,344,
968,413,345,193,918,504,362,818,303,186,200,850,714,024,729,753,962,657,582,
117,336,516,210,545,252,938,109,301,149,600,049,861,875,659,603,685,434,182,
289,328,394,179,188,120,708,541,291,524,590,926,777,597,997,116,749,398,102,
053,431,145,918,991,020,248,285,861,112,561,178,607,391,557,390,547,758,650,
396,211,123,570,677,368,667,234,241,387,330,773,495,989,874,267,860,962,256,
745,424,894,479,025,596,428,466,924,177,115,069,280,631,023,737,344,510,605,
630,746,405,799,070,393,240,395,040,052,063,896,515,565,383,634,214,109,810,
826,905,026,065,234,235,597,563,634,409,749,682,091,464,448,790,712,944,797,
919,120,563,389,010,897,574,092,430,204,009,965,675,694,259,515,124,415,470,
451,248,100,792,252,229,427,283,888,595,645,792,880,796,715,208,283,771,219,
794,854,800,201,276,801,146,045,348,627,237,464,924,758,808,370,332,764,268,
591,706,852,286,536,724,484,932,341,732,268,681,087,598,636,866,494,010,864,
402,216,049,878,858,149,854,346,549,067,950,103,580,524,791,348,583,910,696,
409,839,862,055,948,231,055,485,657,054,784,229,423,691,831,415,503,091,675,
535,308,486,003,992,007,318,095,717,455,462,943,250,883,345,336,789,021,530,
517,085,313,967,290,087,794,440,866,205,094,722,756,286,731,260,025,967,749,
048,166,988,399,858,451,201,971,819,892,668,887,656,210,514,024,165,361,481,
511,352,755,260,382,556,863,041,611,627,482,301,427,632,995,538,165,465,109,
208,334,313,606,819,388,666,877,733,347,254,538,360,946,592,087,219,247,121,
679,444,706,675,753,041,231,720,885,644,187,442,521,252,601,433,235,285,821,
703,925,668,129,142,413,857,345,053,497,934,907,823,421,133,188,068,682,634,
547,014,004,011,882,544,469,348,152,301,840,639,221,734,049,736,043,886,265,
111,315,270,028,292,533,351,618,808,957,578,723,428,529,093,968,646,018,784,
358,598,355,674,190,861,657,670,126,779,722,274,100,179,925,449,922,968,764,
935,465,827,012,896,216,699,480,588,941,704,005,524,733,075,455,039,016,292,
162,088,346,384,006,292,506,338,383,155,256,257,665,297,170,622,357,310,269,
549,859,919,769,691,765,927,388,442,088,954,344,520,266,142,435,335,604,357,
361,545,871,542,841,754,639,768,790,417,720,636,971,395,807,144,270,861,355,
099,205,024,181,031,347,598,846,881,157,820,601,711,888,147,244,484,950,860,
884,607,797,971,638,835,624,372,918,420,161,960,178,447,562,962,510,626,760,
255,372,678,933,799,564,162,485,005,202,114,774,817,651,105,933,706,697,821,
393,356,885,480,996,446,953,599,166,986,737,711,704,614,988,711,928,823,184,
699,987,275,989,261,019,075,534,368,628,446,022,634,491,549,900,584,939,770,
993,266,155,998,434,086,104,071,345,089,683,578,624,410,340,096,259,257,879,
452,821,935,517,099,609,996,344,736,205,330,028,023,600,218,687,927,831,430,
547,488,278,992,596,607,026,476,553,928,577,327,998,536,059,255,434,917,361,
606,412,921,851,490,894,970,819,067,132,283,032,613,438,249,145,654,685,961,
006,032,802,575,290,887,003,295,896,361,418,404,246,864,980,682,936,395,164,
004,804,566,299,102,239,722,853,211,773,088,660,854,514,526,044,536,114,939,
208,726,615,388,143,278,021,551,006,583,035,089,701,006,774,923,339,389,639,
320,118,314,296,628,347,254,213,761,505,480,572,696,378,736,835,176,833,757,
912,976,101,908,345,709,358,431,288,863,817,710,378,009,995,440,107,405,577,
009,105,539,691,273,575,014,588,069,688,636,404,578,974,669,107,425,037,725,
861,274,926,740,492,985,037,611,291,599,718,264,615,125,451,751,313,869,644,
113,245,329,617,346,369,225,460,073,409,568,909,871,698,049,056,134,942,307,
074,332,117,074,589,122,384,733,690,256,507,329,966,105,146,986,393,762,600,
417,242,871,043,014,090,929,397,556,133,897,983,293,735,393,719,009,716,540,
136,253,946,803,407,446,176,113,341,619,792,719,052,638,768,299,898,073,881,
566,551,695,545,479,736,671,816,862,407,534,644,800,860,956,749,291,719,156,
280,119,372,336,299,834,239,513,115,408,841,953,700,726,663,388,513,100,456,
328,055,815,272,318,634,100,395,225,910,077,020,901,706,540,293,457,637,418,
933,778,558,451,306,321,001,191,528,864,505,870,841,612,858,566,319,397,305,
324,315,339,781,756,532,072,765,041,808,200,070,939,418,763,052,373,884,287,
418,260,157,909,471,690,705,221,172,563,578,993,659,585,326,766,352,401,244,
713,361,104,008,904,711,591,331,433,775,658,910,278,382,635,951,751,520,520,
406,817,526,318,874,233,397,574,890,694,382,715,056,414,716,614,158,266,522,
146,684,211,554,863,941,543,877,533,583,652,744,195,775,937,185,956,488,485,
930,609,502,875,230,872,920,031,156,644,117,294,858,004,642,860,864,109,588,
130,739,400,498,160,898,312,074,396,300,378,915,690,953,803,471,127,520,656,
029,352,543,069,223,816,126,734,022,247,487,888,314,832,176,951,018,982,408,
422,286,487,245,102,554,680,199,407,370,443,773,666,424,660,596,066,525,341,
326,641,656,589,687,455,806,825,191,493,064,089,790,811,761,894,675,982,835,
501,289,401,617,714,675,112,944,208,876,726,756,030,451,864,480,294,879,879,
090,419,302,789,609,165,898,387,927,031,138,283,182,278,496,899,214,588,868,
287,562,465,964,528,879,910,066,025,721,380,529,676,847,279,471,473,879,719,
462,096,844,637,284,881,315,287,780,324,264,971,581,490,349,045,947,887,278,
843,066,732,883,293,651,393,177,143,707,332,348,200,908,213,755,524,923,701,
878,858,966,367,597,619,420,842,225,580,137,787,545,473,648,380,170,460,727,
451,257,208,743,304,232,770,708,587,846,517,513,205,832,445,639,664,267,769,
945,526,743,462,839,374,156,370,745,978,832,382,559,357,976,592,396,083,931,
714,365,399,710,295,061,571,293,349,480,674,758,631,025,119,454,577,761,170,
384,029,723,632,166,825,614,639,790,244,390,381,028,802,177,622,259,112,772,
969,408,443,680,501,109,346,687,135,451,215,336,357,191,650,173,739,941,167,
677,256,270,406,728,257,306,985,838,666,812,478,109,765,556,619,448,721,965,
102,782,229,849,421,348,920,759,259,709,870,199,949,764,484,766,327,908,084,
626,456,390,979,077,775,422,681,575,205,386,297,493,814,745,245,305,449,271,
346,283,670,914,079,376,512,453,923,227,300,882,023,694,814,012,411,242,790,
216,843,629,756,127,742,676,346,052,574,952,058,973,183,522,368,515,695,249,
964,183,660,536,244,611,161,258,555,655,337,683,785,913,116,751,406,925,584,
213,542,452,235,610,024,428,007,479,135,223,320,368,378,730,115,472,705,262,
531,386,953,517,519,289,167,097,081,258,407,065,679,600,593,859,887,358,194,
893,846,864,096,761,665,241,396,222,679,375,592,492,503,198,734,290,938,739,
711,379,276,612,004,612,441,189,893,345,774,525,665,793,030,711,798,142,350,
269,250,057,611,064,834,002,956,073,577,250,942,924,162,262,174,380,265,776,
672,538,918,957,537,442,786,770,907,955,571,141,483,500,103,468,471,905,037,
860,866,437,542,657,193,259,896,516,759,863,322,871,244,482,085,437,148,169,
432,862,377,258,807,583,363,111,211,211,186,221,456,605,505,123,803,956,358,
737,453,594,673,384,397,787,010,826,978,737,985,180,065,087,708,834,067,445,
674,538,694,696,497,870,997,720,750,758,047,972,223,543,205,308,652,854,203,
173,098,382,141,798,225,232,583,956,343,599,857,819,103,046,909,621,472,177,
682,927,434,196,627,992,244,433,654,558,875,504,072,635,771,829,254,171,020,
017,184,311,447,452,464,164,081,542,118,918,143,538,039,772,936,604,073,092,
963,924,251,319,406,125,004,390,784,267,824,102,363,672,130,926,266,934,614,
488,967,146,299,233,738,155,519,751,999,803,495,818,203,639,473,044,831,256,
579,825,854,884,818,702,045,204,525,377,594,822,700,349,682,816,911,346,929,
036,223,726,745,574,929,587,149,621,013,926,991,206,947,960,298,557,671,486,
499,469,701,070,091,805,865,414,863,554,676,806,456,507,597,518,767,949,743,
073,546,025,497,076,134,235,378,757,110,475,233,332,950,690,645,598,529,049,
202,699,908,887,666,029,693,475,895,171,621,150,807,165,991,574,235,746,268,
365,819,051,311,235,299,844,270,802,607,384,907,684,011,528,848,121,192,899,
990,653,420,118,947,756,853,500,703,802,127,006,111,664,677,555,054,324,597,
437,579,217,675,639,093,041,522,723,295,386,365,452,955,713,962,309,408,677,
259,133,698,518,777,878,784,593,637,081,612,346,573,176,400,213,875,800,888,
850,150,254,213,909,992,777,763,960,584,933,755,933,462,642,550,359,701,772,
022,122,009,560,010,079,976,082,772,557,926,041,989,230,638,793,652,606,787,
582,946,346,375,914,835,202,440,009,517,372,252,022,083,904,944,614,291,037,
780,605,784,509,288,695,852,751,135,129,799,218,271,835,846,636,841,344,441,
570,783,259,129,459,208,305,373,971,055,067,759,486,034,121,625,799,237,387,
084,995,656,887,904,143,103,552,892,353,456,969,083,495,564,121,429,651,631,
801,439,704,506,798,719,138,095,806,578,088,849,414,319,052,547,550,008,084,
928,061,427,337,057,398,319,609,820,922,203,312,581,089,619,321,823,280,414,
934,162,149,966,656,442,753,740,356,147,327,001,378,889,458,736,292,093,242,
302,194,563,337,540,262,423,334,272,476,685,926,390,960,061,976,424,170,158,
715,415,769,920,053,668,302,282,318,316,359,194,364,489,710,247,887,225,878,
212,590,965,137,838,237,480,140,948,448,630,523,918,669,573,930,350,078,343,
833,618,570,525,023,204,439,392,587,568,080,003,736,435,284,197,292,190,306,
047,966,342,715,558,893,709,979,905,892,990,869,298,154,915,859,299,975,978,
344,971,475,713,937,820,256,803,758,817,674,387,426,046,487,308,242,473,621,
825,832,826,629,139,630,145,063,683,852,749,700,708,475,341,118,670,112,996,
588,753,413,071,894,725,655,239,591,054,816,280,905,138,569,381,968,002,461,
351,430,469,442,393,078,271,539,481,313,167,532,416,678,452,165,377,609,360,
410,338,494,753,762,140,113,066,951,740,020,935,220,408,979,267,542,096,310,
665,861,260,864,615,330,293,137,708,967,785,107,679,885,421,500,114,226,516,
511,949,149,177,159,429,542,992,472,202,389,909,422,520,680,143,697,137,141,
189,704,259,578,061,889,823,339,501,503,120,140,889,573,312,949,467,009,431,
168,756,609,289,769,651,976,328,948,349,645,878,848,228,396,776,138,620,008,
967,731,223,858,191,173,528,622,040,091,126,541,458,359,548,729,613,864,626,
909,622,918,931,151,681,564,576,330,576,121,467,078,133,901,915,550,656,554,
318,905,898,306,293,029,085,216,177,551,190,864,722,187,224,622,385,609,647,
864,434,763,261,035,178,302,141,669,834,512,977,003,656,080,644,540,073,265,
612,262,136,488,936,214,327,006,737,879,720,811,528,027,453,965,411,484,821,
277,948,992,806,141,935,841,942,103,392,994,203,239,763,228,884,865,300,468,
313,518,423,624,702,817,337,535,469,841,775,071,355,485,751,620,500,598,887,
049,176,015,715,114,913,637,612,494,079,402,787,186,529,306,405,140,202,471,
310,397,312,381,723,595,753,099,236,782,904,844,748,282,618,215,822,620,854,
749,587,547,379,171,304,027,813,512,817,056,947,423,156,685,255,842,305,587,
130,454,355,691,284,534,440,720,451,853,308,649,954,226,114,249,164,334,643,
650,917,774,667,709,911,337,353,956,215,978,687,604,970,202,849,373,264,834,
003,239,669,466,924,315,860,588,807,404,066,028,743,419,789,503,978,273,198,
407,629,036,412,380,395,195,483,802,173,836,372,185,537,358,358,563,782,293,
173,782,539,714,670,522,841,620,372,579,522,640,196,034,544,696,747,925,327,
445,059,135,099,077,597,199,176,480,418,638,645,890,892,172,816,187,310,359,
747,145,088,836,843,231,475,341,685,277,752,657,096,110,379,974,299,662,378,
039,748,964,900,991,143,313,268,912,401,275,610,344,960,894,172,930,081,877,
450,785,399,757,933,926,205,776,102,933,600,396,618,281,544,137,159,210,478,
431,809,364,471,381,471,075,391,389,268,322,167,423,507,392,107,193,389,546,
391,888,895,125,048,083,922,196,876,613,609,750,542,789,982,950,310,823,953,
938,835,321,913,680,464,285,239,630,071,503,872,369,484,490,339,483,224,832,
421,892,899,768,264,932,859,803,827,956,441,716,538,259,161,593,315,832,090,
291,775,686,410,937,648,534,195,186,912,945,023,021,972,854,519,371,762,717,
855,188,016,560,626,103,891,588,174,231,536,001,154,489,926,165,251,079,055,
900,513,361,437,558,313,228,678,301,862,169,844,799,395,181,107,334,877,386,
635,101,322,771,736,499,999,929,654,026,621,902,753,751,625,931,409,095,841,
618,800,419,777,702,478,165,327,204,424,135,152,538,067,882,281,049,423,593,
791,722,644,665,087,923,428,396,570,334,317,946,409,696,901,533,467,783,325,
488,609,984,658,064,323,828,152,592,541,021,899,317,673,393,871,464,906,632,
418,985,568,591,446,815,694,958,837,279,427,684,828,669,786,343,446,656,846,
319,845,964,373,868,676,406,308,764,507,685,667,772,326,020,576,952,763,023,
202,425,119,201,266,601,828,796,892,810,607,789,342,215,057,823,553,406,366,
446,770,964,170,357,172,726,009,611,133,716,223,571,301,898,989,677,120,115,
037,381,839,590,920,706,714,275,703,631,546,622,580,616,118,082,979,914,255,
211,395,013,118,368,757,117,952,626,628,988,425,968,097,984,996,047,659,698,
611,410,076,391,737,144,531,231,076,803,083,636,374,621,172,211,164,369,011,
993,496,048,824,461,318,790,141,222,680,851,908,762,949,169,684,986,725,880,
846,287,908,177,096,654,052,009,863,950,800,402,052,031,405,193,829,261,117,
141,512,073,525,822,261,103,674,689,665,316,350,879,634,185,183,900,594,308,
605,883,247,191,636,373,625,521,145,656,949,962,218,394,594,620,036,235,530,
314,245,612,411,792,285,505,923,002,880,584,735,164,474,832,549,916,538,967,
717,778,392,829,834,881,252,184,692,405,342,721,516,955,308,916,786,673,961,
810,968,882,559,163,257,312,040,559,693,580,835,449,508,342,069,119,340,223,
901,865,562,549,299,166,018,513,201,465,262,814,241,880,392,467,869,675,556,
981,967,419,259,373,201,978,367,216,762,244,456,239,025,685,394,615,979,780,
937,113,716,235,440,892,588,897,642,838,023,530,732,228,884,698,088,598,850,
343,401,593,641,482,323,957,625,019,762,064,180,367,861,151,684,271,912,655,
772,698,854,005,488,517,274,694,147,579,570,625,182,657,047,245,201,283,995,
080,634,626,571,999,886,337,105,522,487,068,944,035,417,475,816,109,726,652,
276,130,943,105,767,753,072,457,430,742,963,425,942,890,187,587,744,646,806,
275,229,015,268,244,212,271,305,717,263,032,230,386,802,847,347,463,637,861,
693,293,685,938,076,280,382,330,398,319,694,046,480,669,797,141,579,585,718,
363,103,077,446,839,620,776,844,897,689,085,185,291,086,934,478,932,749,532,
921,041,975,926,276,592,457,012,566,652,276,713,848,283,690,401,494,580,688,
882,445,444,403,928,962,423,854,097,820,618,457,228,114,203,287,194,511,302,
561,025,176,883,477,424,012,901,047,373,256,344,400,539,619,003,360,624,000,
038,912,196,110,147,257,769,785,832,978,474,169,547,111,512,762,688,815,672,
849,450,950,585,624,550,089,826,743,743,253,099,405,980,760,036,763,745,168,
888,335,514,377,172,737,703,910,440,358,230,587,402,051,071,432,226,326,150,
081,451,943,341,863,446,891,794,929,544,905,312,445,093,323,502,801,009,055,
726,809,203,845,003,404,859,440,954,976,791,425,192,560,693,471,669,298,949,
624,975,836,089,599,634,174,811,218,835,419,804,878,276,391,329,725,325,537,
204,648,139,623,102,160,132,122,989,177,812,782,601,525,519,616,235,222,547,
888,529,953,813,812,519,373,780,285,814,458,233,057,139,344,471,119,990,102,
434,629,192,147,634,430,839,943,511,165,376,491,917,146,833,408,703,264,475,
406,106,929,624,156,353,829,832,442,396,577,162,984,950,401,341,416,659,019,
522,329,568,619,407,825,815,827,241,698,888,591,244,059,870,645,524,214,682,
961,206,939,089,348,433,749,025,621,443,212,040,903,843,733,895,949,234,330,
076,382,803,258,426,180,582,456,305,707,794,736,342,320,973,137,762,726,233,
691,763,439,527,178,337,625,373,125,212,324,065,974,660,908,829,421,759,112,
145,284,497,827,800,485,690,230,309,535,770,020,435,305,261,861,999,158,880,
235,546,638,064,083,022,288,694,310,964,858,726,454,350,149,267,093,670,908,
716,862,479,860,296,277,661,392,433,032,878,455,171,428,040,788,100,291,792,
005,964,355,687,076,247,906,693,606,931,423,161,077,023,550,771,539,432,613,
867,326,400,767,686,344,345,040,681,709,722,763,011,515,313,589,731,093,061,
553,882,077,990,347,620,713,356,463,930,099,000,793,866,804,803,916,971,669,
813,023,716,782,142,774,634,436,679,023,882,105,207,453,521,459,962,756,281,
010,355,252,892,421,489,988,018,073,992,300,214,165,558,328,372,521,789,675,
251,793,790,540,425,788,510,082,052,625,362,959,795,548,791,843,827,388,222,
227,165,638,442,703,062,096,409,619,516,246,835,288,623,202,745,039,299,099,
904,941,842,929,596,697,749,304,352,101,275,256,432,246,625,018,910,834,094,
786,770,407,365,550,846,919,282,207,410,754,334,105,238,961,647,828,311,466,
873,618,382,023,020,420,937,611,048,573,744,385,192,611,181,219,110,430,053,
293,517,121,453,998,476,892,332,178,242,375,581,860,631,911,473,178,473,146,
121,221,934,949,677,072,299,215,629,448,843,417,249,866,190,062,970,389,086,
795,453,168,172,364,937,907,200,209,646,111,215,521,332,048,426,682,361,075,
000,659,690,187,637,752,411,836,451,940,871,979,202,075,624,164,670,820,810,
634,332,864,989,739,692,604,841,307,838,057,860,173,931,373,411,344,471,956,
584,817,850,002,216,089,843,257,046,556,703,076,169,138,508,913,797,696,353,
543,479,882,421,437,191,436,917,100,538,188,512,002,425,521,518,326,280,157,
807,809,180,198,296,405,490,805,230,721,619,272,249,800,355,980,118,089,888,
775,176,208,979,108,608,573,179,041,510,489,977,850,321,485,601,379,699,897,
782,293,112,092,063,629,965,012,433,221,983,862,801,770,225,278,301,662,287,
671,129,197,852,655,356,245,398,807,377,200,579,981,014,676,137,648,368,688,
905,145,814,844,180,139,476,521,666,030,219,005,947,771,743,694,759,820,819,
429,926,036,015,161,374,712,139,614,393,328,248,740,093,310,897,970,568,180,
029,570,574,020,257,328,362,422,976,966,099,165,933,469,400,031,862,788,057,
009,025,661,231,952,122,240,912,165,622,804,509,087,116,067,278,242,580,912,
960,022,064,099,813,241,259,566,826,705,784,818,086,846,508,196,134,032,685,
155,972,587,173,594,506,776,723,165,449,896,518,231,022,389,729,319,771,418,
126,565,193,131,450,537,136,243,808,494,506,424,213,616,140,140,276,565,270,
689,291,955,147,264,645,095,705,149,239,473,835,790,733,757,671,880,545,884,
551,014,540,726,004,415,649,017,364,497,378,780,310,132,991,007,659,155,465,
056,989,900,568,093,411,555,641,391,208,510,562,478,608,765,110,215,488,991,
006,532,951,623,601,331,692,354,788,828,861,777,961,980,192,963,418,594,931,
233,059,654,930,976,931,907,138,054,488,366,816,862,744,058,382,749,889,947,
877,419,317,821,661,798,981,776,646,932,082,428,202,497,651,423,185,870,117,
924,944,489,398,246,637,929,482,421,051,187,206,348,620,436,116,387,404,566,
873,044,084,436,082,726,725,485,781,118,605,414,523,558,317,611,916,309,666,
878,357,204,728,407,811,167,207,376,889,586,690,415,526,296,440,215,826,435,
652,489,221,151,742,773,888,477,285,388,440,087,217,541,202,271,132,839,566,
893,838,444,561,451,677,157,605,461,438,502,998,499,789,571,383,868,168,648,
327,553,529,617,900,870,593,824,995,604,359,958,183,511,478,386,670,679,351,
773,251,556,458,984,463,744,279,988,038,664,851,734,254,057,004,451,358,954,
869,896,438,265,226,615,966,766,921,959,235,927,289,291,448,735,207,560,506,
417,863,449,364,157,563,417,602,791,205,736,890,330,995,344,814,161,266,750,
704,486,180,919,482,481,742,816,555,167,610,807,808,627,065,275,376,908,484,
074,948,946,385,349,978,385,498,796,618,484,015,088,138,562,178,893,283,786,
325,181,169,609,923,756,770,462,617,252,933,552,060,390,816,764,255,734,346,
860,384,344,991,068,824,191,851,360,573,125,695,950,853,388,980,802,289,375,
178,323,677,607,684,438,654,332,556,828,435,206,756,912,130,894,835,520,203,
984,141,063,221,179,493,814,307,862,516,595,086,979,450,743,609,175,293,558,
224,052,026,294,583,543,061,835,841,562,804,751,246,985,848,127,373,778,507,
968,393,951,880,043,705,177,076,108,581,324,401,552,317,098,925,079,339,449,
587,302,087,510,350,035,748,114,905,211,804,715,811,122,446,028,881,574,621,
551,384,403,382,392,801,465,868,411,579,479,268,256,381,333,421,696,675,385,
394,732,395,420,695,552,257,485,097,403,415,972,050,622,796,847,088,311,229,
378,981,550,488,331,838,340,440,925,506,372,695,980,386,148,194,644,210,962,
275,536,403,997,280,173,929,533,274,898,188,552,217,271,012,764,239,121,048,
871,991,401,714,489,285,933,264,205,559,953,674,479,641,518,588,292,785,468,
706,815,624,453,064,268,931,044,639,650,804,301,994,100,664,404,012,918,302,
277,421,043,011,362,021,951,675,950,567,743,442,626,961,826,227,822,858,325,
821,290,002,412,858,466,589,140,469,577,834,318,540,143,820,350,778,513,713,
343,668,993,656,987,252,004,122,789,122,883,376,362,806,134,441,974,550,204,
392,973,136,282,223,220,257,922,153,149,201,092,558,924,699,630,502,467,615,
266,258,586,664,405,043,673,954,733,616,672,657,806,344,199,092,461,643,206,
067,023,984,262,400,793,319,867,491,509,614,782,768,452,346,488,341,121,364,
993,979,035,688,617,499,637,524,252,078,076,756,157,535,116,559,935,777,190,
864,161,567,307,366,652,194,435,150,429,682,093,991,355,015,033,672,807,665,
309,050,802,289,081,080,403,862,152,097,460,335,401,132,070,895,140,392,428,
717,213,997,986,189,843,293,206,105,283,091,167,336,460,628,694,688,049,122,
315,657,444,533,155,418,803,482,828,046,457,804,173,368,159,617,306,701,188,
856,595,343,441,324,322,264,849,815,529,550,439,751,215,348,129,590,142,731,
740,513,086,278,355,315,288,657,188,317,182,750,184,503,897,185,131,065,277,
724,466,431,124,265,427,213,869,491,914,283,755,633,269,678,739,926,293,160,
603,557,934,403,396,554,587,140,657,586,665,799,414,200,174,165,264,097,571,
015,982,937,573,747,617,056,633,423,807,512,516,962,177,679,087,286,524,142,
620,014,563,608,943,183,503,289,372,518,275,083,343,512,435,308,833,618,284,
178,728,967,847,793,885,668,460,594,609,747,129,766,543,872,915,127,585,033,
890,010,737,113,121,749,210,109,875,694,110,103,388,975,370,953,488,462,228,
954,405,629,544,825,078,149,287,747,853,791,816,423,365,187,778,311,456,619,
366,463,566,803,204,051,766,600,411,430,928,424,449,639,878,600,773,391,973,
409,832,705,236,173,526,886,534,904,025,866,173,305,278,801,894,171,417,644,
500,471,105,020,236,681,689,343,173,185,430,279,010,773,938,232,761,110,793,
116,137,960,472,931,337,092,739,026,181,551,693,044,966,333,071,532,801,233,
250,345,306,653,361,095,101,882,574,822,245,691,134,653,703,056,969,654,776,
148,542,397,596,173,918,120,763,853,057,532,106,437,206,260,787,136,960,852,
297,975,357,619,571,589,553,644,872,568,248,084,726,289,548,959,325,716,196,
868,912,281,395,065,065,620,461,780,936,655,582,444,260,125,665,940,556,814,
888,392,443,030,417,647,313,870,466,465,883,690,170,783,684,316,752,049,760,
316,111,043,053,032,271,454,932,689,456,912,594,172,143,298,760,712,518,638,
377,617,323,140,804,020,574,922,830,434,563,857,398,605,795,024,706,201,023,
553,495,555,593,660,516,334,891,386,682,407,261,788,074,236,197,849,189,664,
527,478,969,314,373,011,415,510,788,315,036,301,580,214,764,568,814,001,896,
633,484,168,146,571,300,122,506,401,455,532,419,918,433,473,518,530,004,368,
931,724,958,978,768,273,382,130,631,118,397,997,214,557,880,141,155,321,842,
695,831,851,112,230,547,466,305,098,181,338,730,103,338,438,966,855,049,122,
026,571,029,237,577,714,918,365,357,029,653,360,660,501,594,832,390,611,236,
531,139,252,694,729,286,698,961,810,556,733,833,211,455,906,043,231,573,455,
814,083,887,973,998,916,955,598,114,504,678,838,209,369,760,055,911,851,528,
169,684,511,437,268,166,733,454,893,117,710,319,216,369,960,334,615,320,615,
294,837,162,300,182,094,821,812,415,540,515,944,930,568,538,725,761,831,018,
214,812,327,068,136,100,855,877,418,710,990,518,068,535,656,912,390,404,573,
329,053,771,630,564,614,727,001,214,524,687,007,154,274,392,797,063,625,943,
925,690,771,034,413,048,140,725,936,146,004,625,760,818,633,033,496,407,493,
552,536,119,566,136,733,721,360,203,574,389,077,729,970,738,929,042,559,851,
419,580,195,567,207,829,571,697,933,712,268,573,871,195,514,853,379,112,352,
021,303,884,322,310,365,830,886,049,269,997,246,881,490,249,697,939,813,463,
927,078,693,058,178,633,737,955,457,876,752,283,109,010,355,189,806,112,587,
331,433,000,945,654,223,126,347,252,001,337,585,737,530,016,275,028,652,984,
734,846,208,605,929,990,878,285,998,293,878,402,891,659,486,106,230,253,661,
617,916,512,635,408,143,643,711,438,439,339,694,703,073,652,678,427,906,148,
741,482,183,252,120,848,067,355,467,823,081,903,806,699,487,674,275,666,257,
673,045,587,189,555,779,318,731,265,918,084,313,763,912,763,854,943,393,263,
546,745,432,515,894,636,985,492,862,957,400,840,580,496,550,026,693,495,807,
858,206,086,946,364,166,995,335,640,701,251,229,011,429,024,291,987,448,831,
931,920,170,597,603,763,866,095,690,393,370,782,406,626,179,177,171,338,865,
131,342,808,442,728,176,366,284,173,515,219,684,079,695,751,236,006,495,565,
874,933,041,031,791,353,403,815,498,971,833,131,922,518,891,264,774,781,054,
458,362,247,787,624,473,845,489,019,521,919,342,508,682,840,461,654,787,657,
340,931,200,401,092,646,045,640,772,293,655,896,251,228,506,851,566,023,523,
606,635,385,723,057,808,821,943,200,743,879,916,052,634,594,884,884,004,290,
652,045,072,647,468,646,718,997,604,229,755,875,049,374,431,621,332,889,541,
204,749,801,479,615,837,229,007,312,199,744,787,325,337,553,727,163,496,238,
067,944,347,270,030,530,522,228,877,159,821,594,851,635,438,373,027,692,444,
810,341,601,626,041,730,330,096,711,993,407,841,339,470,808,613,826,896,502,
415,613,110,492,391,459,405,709,866,007,045,254,527,127,995,078,630,911,511,
833,412,721,076,786,370,852,070,492,898,607,010,162,661,969,944,229,229,418,
047,524,211,040,401,939,348,182,127,074,601,470,218,136,944,943,701,589,704,
204,912,810,407,285,655,511,698,290,304,654,535,248,521,370,164,527,610,645,
776,947,753,343,977,492,027,002,469,644,891,054,556,496,280,576,904,417,701,
439,582,248,037,921,913,390,750,016,217,376,612,870,477,052,090,320,874,818,
720,823,886,768,762,734,169,345,548,557,629,122,146,892,341,013,440,116,226,
988,836,554,104,696,072,037,207,683,521,266,357,430,949,534,138,247,921,666,
029,716,986,347,390,897,986,945,136,016,338,916,197,490,681,712,272,423,549,
841,260,566,997,683,608,518,328,397,556,096,098,548,074,994,850,333,227,748,
955,095,379,960,877,555,540,340,774,833,778,023,001,101,969,116,671,096,101,
984,687,206,899,733,911,211,832,177,922,947,316,939,006,328,927,916,873,173,
632,308,154,351,523,471,539,541,851,883,166,198,998,534,155,755,536,365,077,
057,212,737,237,595,498,953,480,009,270,160,994,391,621,615,312,670,232,238,
960,555,305,492,430,870,844,664,709,941,290,058,755,990,995,104,676,078,932,
076,450,779,788,645,615,398,015,845,234,271,705,451,919,884,655,125,717,385,
711,729,772,164,153,157,518,237,630,299,230,185,737,034,932,433,200,338,536,
270,909,520,614,372,031,428,825,288,020,913,209,639,243,179,442,178,135,396,
294,108,041,595,720,581,199,981,136,626,883,501,294,488,731,841,707,669,222,
850,926,912,076,032,788,830,872,328,235,146,970,126,393,338,635,852,945,044,
889,378,875,576,826,549,256,907,380,680,516,365,702,446,948,703,266,527,600,
413,684,974,058,598,587,122,700,369,475,250,094,402,633,574,382,256,831,386,
997,191,922,060,428,520,261,573,726,509,049,684,123,175,786,590,028,757,496,
509,854,039,383,466,661,509,350,159,090,243,003,605,024,167,926,389,658,206,
601,144,534,855,137,278,426,451,885,651,218,119,990,501,352,771,549,030,693,
782,812,449,930,215,197,054,109,172,516,908,608,510,415,065,983,160,064,108,
305,220,984,756,726,813,621,228,363,588,084,819,667,097,777,885,542,469,764,
446,041,267,842,718,715,165,060,644,827,113,971,278,778,487,811,898,044,213,
018,828,777,030,053,659,129,318,910,145,999,384,105,530,504,218,290,122,634,
234,336,559,617,446,562,788,561,517,522,744,807,006,722,698,161,177,120,505,
268,710,371,091,720,362,004,093,864,017,187,525,319,465,516,006,257,601,403,
548,997,666,490,608,175,147,213,946,095,102,315,033,735,791,461,045,807,494,
601,789,044,268,712,623,363,372,593,057,456,287,933,239,103,858,024,862,192,
283,786,475,684,314,922,173,120,195,421,755,410,140,729,035,619,660,103,573,
012,439,572,744,494,391,182,716,181,262,566,853,688,163,340,027,208,969,542,
386,525,264,186,989,728,184,731,506,410,506,796,082,240,789,017,802,066,397,
724,908,226,153,070,692,985,710,220,590,128,211,943,973,485,375,394,853,638,
372,589,795,531,739,520,145,398,980,410,524,549,008,121,791,846,530,442,333,
676,385,140,214,372,240,682,923,134,291,324,365,607,790,315,385,766,647,552,
464,192,291,889,660,772,420,870,004,354,553,850,807,737,907,639,751,579,680,
668,161,970,899,679,061,370,992,357,728,836,300,418,230,647,333,880,689,177,
166,212,335,190,882,300,731,191,438,147,778,949,874,413,076,872,526,590,337,
989,312,265,585,058,114,175,002,631,013,995,672,095,611,582,695,050,340,279,
814,989,955,480,343,689,351,468,409,116,594,263,891,036,999,030,258,062,503,
616,000,244,768,372,778,009,551,896,873,264,211,581,390,904,323,792,825,135,
581,605,345,762,996,642,191,300,922,835,037,121,889,312,268,306,904,438,160,
926,796,739,436,673,186,082,923,714,034,162,805,958,275,878,507,383,193,808,
940,526,147,383,836,274,321,626,109,189,768,859,065,436,418,191,527,695,574,
065,441,517,720,161,928,871,203,508,095,843,207,910,763,579,717,580,484,324,
485,413,482,000,781,633,478,428,924,025,242,083,178,575,441,420,547,842,537,
044,201,426,229,901,926,058,085,386,901,812,778,759,312,060,286,846,289,428,
326,451,624,330,151,213,341,129,757,514,086,076,874,928,347,218,171,498,824,
068,735,053,395,375,199,292,766,297,640,859,847,508,178,508,228,942,340,825,
527,602,682,035,612,148,130,437,838,173,059,202,012,359,620,300,472,848,958,
432,090,020,193,361,500,319,750,827,909,525,758,869,745,432,140,788,063,103,
973,059,483,941,589,847,863,882,689,149,008,592,488,974,092,904,142,721,816,
605,640,716,314,827,776,578,163,311,101,137,996,139,320,018,209,062,731,691,
385,891,000,909,324,377,126,524,775,706,337,855,926,866,445,025,118,110,627,
846,185,601,638,106,448,053,010,905,571,743,102,662,704,686,807,866,754,941,
909,284,161,581,297,340,861,642,739,643,691,427,466,006,536,310,073,858,568,
656,917,928,254,938,275,613,295,981,021,534,554,099,238,598,483,827,521,618,
743,469,587,146,651,735,590,649,561,632,893,262,341,582,792,423,690,917,908,
492,339,205,285,914,565,358,408,730,792,045,274,326,165,564,163,655,343,530,
733,452,722,123,336,810,571,003,090,509,424,351,466,227,258,669,275,705,963,
453,485,971,661,022,089,493,968,966,971,200,311,710,825,991,360,894,254,298,
727,786,303,193,326,150,953,596,657,167,459,096,858,488,101,091,729,896,074,
009,689,937,294,478,354,706,573,037,356,631,743,303,148,677,101,896,467,000,
665,328,835,134,874,917,772,596,617,364,321,236,926,686,248,685,110,780,326,
579,823,832,958,484,174,442,475,416,925,079,809,455,551,839,073,420,354,957,
924,512,479,626,391,805,719,156,474,341,466,322,473,152,307,330,563,764,065,
548,742,276,425,279,031,117,989,095,381,236,416,471,252,677,777,324,297,298,
519,823,498,653,472,815,198,046,810,395,353,003,782,760,972,003,516,485,954,
801,227,499,069,876,275,110,360,912,279,240,708,387,889,418,450,187,535,219,
202,904,534,714,697,855,130,849,583,382,412,253,888,772,352,780,132,575,518,
535,054,387,463,990,170,491,591,215,510,911,894,645,413,552,944,904,849,287,
076,100,099,336,060,020,124,646,487,780,010,717,722,373,161,678,896,873,787,
796,579,953,496,390,435,224,675,595,134,888,002,737,132,791,473,176,550,434,
686,851,953,272,855,095,808,640,051,844,257,319,421,692,517,918,796,459,967,
943,199,109,627,042,387,294,350,844,944,669,953,555,077,931,772,938,181,356,
738,870,021,136,980,140,113,165,982,489,543,305,092,760,005,582,048,367,169,
981,642,756,864,391,849,692,241,383,559,690,150,961,170,612,508,515,979,442,
380,490,214,494,779,228,250,535,343,649,798,758,776,138,808,604,423,662,375,
735,959,308,693,621,926,499,009,514,410,904,978,316,880,660,776,409,719,866,
002,486,311,973,904,525,899,560,582,796,958,451,742,349,059,231,718,127,837,
665,762,802,959,494,848,929,536,869,928,852,316,281,736,942,425,356,788,790,
123,441,550,465,466,032,442,673,229,432,342,071,660,798,955,217,882,493,348,
133,055,172,638,455,598,363,926,047,464,653,913,542,930,915,624,288,758,647,
591,667,949,790,720,857,796,317,268,960,847,718,570,266,419,797,478,496,851,
655,635,959,810,941,969,906,360,003,330,355,135,420,295,513,984,092,808,233,
227,033,590,283,560,148,435,810,336,154,021,914,649,871,478,663,295,508,990,
179,239,731,874,090,833,089,616,911,440,350,516,836,435,826,456,215,911,808,
998,633,533,657,871,331,315,149,755,597,691,659,531,476,465,949,381,694,923,
370,394,419,023,466,684,011,293,740,845,677,638,620,316,687,000,859,934,249,
313,983,967,142,029,455,120,022,279,371,305,317,408,680,529,069,642,008,498,
735,718,124,036,283,045,139,365,988,785,312,883,802,845,281,180,152,742,130,
680,585,880,210,876,394,893,341,340,397,539,923,980,931,271,928,696,448,623,
254,809,663,905,909,507,056,604,924,159,200,844,741,848,847,912,514,655,383,
754,954,850,183,711,874,189,064,974,795,259,465,603,350,332,855,488,714,580,
782,310,882,732,375,563,914,547,953,244,820,129,394,232,354,261,274,444,939,
077,503,762,644,987,006,332,236,706,237,242,482,312,336,254,684,106,837,334,
615,984,013,952,290,432,746,240,856,226,332,507,884,935,963,728,230,308,511,
931,819,033,789,299,534,602,112,946,381,011,930,349,199,591,535,900,690,465,
563,991,692,911,937,355,727,612,579,338,061,700,466,019,515,799,589,474,476,
745,999,367,321,866,806,732,844,140,068,661,636,203,101,768,934,425,764,659,
997,877,205,977,798,318,974,024,989,079,520,031,714,054,477,802,095,552,460,
057,809,286,646,408,624,891,753,194,999,956,217,165,386,633,907,766,509,994,
896,791,703,759,073,461,375,904,200,101,845,037,084,964,559,118,412,308,823,
506,142,849,046,820,021,152,755,551,164,519,744,497,783,408,009,317,238,659,
679,021,893,331,204,954,969,270,623,952,474,273,501,690,547,958,661,629,555,
438,720,880,591,969,251,571,784,043,322,922,055,458,620,897,879,912,709,443,
611,073,065,722,431,824,932,674,292,668,714,607,707,286,278,506,992,422,048,
870,376,004,407,203,574,446,040,050,082,278,144,839,653,045,572,594,112,399,
700,487,761,233,171,208,361,273,116,418,832,224,696,384,330,569,007,337,928,
992,180,837,250,240,469,702,557,327,375,387,737,397,500,157,284,622,051,598,
178,988,637,340,012,220,082,082,181,166,388,778,788,054,609,866,603,249,194,
252,083,124,954,515,139,059,722,333,403,111,852,224,908,745,180,111,292,372,
059,950,760,841,591,217,642,232,133,038,595,687,397,578,624,008,368,799,101,
042,570,527,942,164,670,873,776,844,470,551,572,658,406,944,951,870,594,055,
774,620,610,806,429,178,115,875,676,100,881,452,978,606,657,513,766,936,495,
127,474,838,418,420,739,121,593,911,048,800,988,467,439,226,215,955,035,504,
034,401,357,326,569,758,773,144,994,561,582,317,686,024,710,557,540,415,849,
774,261,565,008,575,629,937,413,788,876,823,283,126,480,958,392,403,251,054,
512,651,439,877,565,574,673,081,638,383,499,875,695,828,362,522,351,019,606,
435,318,752,735,474,147,569,637,478,746,136,915,549,346,027,577,741,034,165,
350,805,530,956,012,424,376,859,687,086,786,389,559,028,522,169,481,389,992,
046,906,291,603,738,978,765,684,333,065,236,602,889,726,015,293,052,184,127,
990,398,687,959,423,163,161,646,017,105,060,222,760,903,455,836,013,613,294,
944,028,722,851,506,809,408,922,108,565,851,594,830,049,728,228,946,567,280,
176,888,792,526,072,830,965,850,910,843,815,202,849,515,034,603,295,620,087,
893,245,415,726,269,049,386,832,981,426,344,231,786,324,785,282,910,293,489,
254,780,703,017,442,880,090,163,124,097,805,246,397,196,708,294,055,444,162,
713,796,269,415,764,272,482,059,128,567,606,392,252,980,366,134,150,869,408,
859,709,731,059,439,085,319,994,335,036,518,228,721,312,416,052,514,110,442,
297,811,992,262,432,652,657,844,111,221,689,326,169,535,562,033,305,000,134,
901,352,533,637,101,676,979,935,903,669,688,893,611,301,625,633,873,321,865,
879,938,622,366,596,022,080,966,498,733,059,920,922,288,258,523,132,235,277,
643,780,327,381,629,832,933,230,988,394,365,034,537,332,614,464,565,883,375,
255,419,396,831,138,211,061,488,985,135,321,456,007,894,364,998,160,621,820,
804,403,250,642,235,162,851,837,634,524,245,384,697,058,877,545,575,748,876,
592,147,208,854,744,333,328,237,111,740,169,437,191,189,821,262,444,598,423,
049,433,124,366,482,173,441,045,209,986,089,366,805,210,391,265,420,200,888,
650,194,743,353,490,584,105,301,736,282,277,942,339,654,067,614,979,196,469,
776,946,186,893,979,436,582,374,336,675,140,036,730,293,723,408,669,973,259,
102,993,577,308,823,549,209,689,399,819,615,975,550,111,349,870,895,823,597,
008,951,103,504,340,525,448,477,313,967,542,897,414,678,722,243,339,845,535,
607,499,296,609,180,258,176,041,364,285,099,648,563,427,532,654,020,410,278,
421,002,920,255,576,220,787,430,218,896,889,380,258,638,301,985,394,700,391,
297,115,311,523,303,482,566,466,387,387,931,944,191,714,597,852,122,765,692,
313,442,811,975,656,729,970,719,391,749,512,732,959,811,279,201,260,104,982,
488,388,491,245,684,405,799,671,539,388,559,862,867,918,910,016,995,426,846,
009,378,755,651,581,619,508,465,139,087,852,487,422,861,144,596,776,853,803,
481,101,433,993,401,982,084,389,070,948,546,263,727,566,330,256,302,169,684,
118,201,799,740,382,169,653,267,465,752,101,551,616,138,932,751,897,459,551,
268,985,321,283,004,814,930,792,797,023,603,243,503,547,258,324,931,760,386,
396,879,144,953,105,174,079,012,225,925,863,633,790,144,153,993,390,028,451,
317,275,754,003,593,461,118,500,215,137,811,633,396,828,459,660,762,454,203,
692,619,115,734,458,636,634,267,070,721,729,342,122,550,611,862,923,925,423,
974,737,804,026,487,220,457,037,369,799,369,697,560,336,297,183,087,868,585,
331,168,168,698,174,995,868,044,032,706,106,295,701,257,351,060,295,169,398,
117,212,518,451,715,863,223,711,506,976,145,814,829,109,507,042,226,203,483,
752,456,213,512,479,771,827,788,289,872,225,190,110,565,953,247,082,562,010,
769,007,789,117,630,852,419,008,289,269,035,379,917,130,949,785,730,893,799,
657,888,896,757,206,997,705,417,957,061,215,814,969,261,269,601,431,004,243,
634,208,642,338,710,777,001,634,656,078,407,798,091,822,103,521,284,041,106,
444,828,516,216,542,620,467,523,299,416,760,056,824,083,887,396,031,704,228,
892,406,674,304,660,813,435,824,802,114,970,764,902,784,792,637,849,323,734,
773,535,334,339,668,280,749,625,482,508,953,536,264,106,125,359,692,479,511,
571,072,398,672,057,315,227,931,987,176,226,125,464,752,583,164,802,077,448,
933,032,436,305,148,234,240,612,639,001,650,762,603,727,483,331,446,786,629,
481,478,204,471,712,303,544,946,065,357,763,588,935,096,267,810,621,674,235,
080,092,273,414,844,677,049,801,898,998,395,332,341,004,109,676,731,344,744,
277,108,325,979,008,082,391,683,236,251,387,565,903,111,200,339,337,370,132,
648,129,978,141,531,664,686,923,173,054,100,406,470,276,875,077,799,964,620,
930,111,319,719,604,613,926,759,996,353,860,697,194,706,374,990,958,388,131,
278,925,013,572,377,865,934,840,142,381,138,064,090,882,011,803,747,425,500,
723,198,760,972,497,946,415,591,726,920,187,862,476,883,161,631,431,549,073,
601,680,060,275,897,381,725,071,545,104,159,333,077,100,603,471,049,247,914,
400,373,096,469,105,862,614,990,909,525,810,297,923,476,126,924,599,999,207,
798,339,114,975,053,172,162,823,892,443,163,556,194,045,805,415,524,275,300,
813,848,999,984,201,376,154,095,965,794,487,235,466,860,974,164,425,629,571,
611,946,211,916,975,330,550,937,322,969,281,841,978,278,275,303,641,738,352,
981,902,751,588,173,719,388,039,825,187,145,859,373,617,381,825,410,006,630,
436,168,891,486,204,978,191,357,544,498,813,479,065,184,587,705,185,975,334,
512,507,874,337,988,448,738,785,243,673,412,495,313,157,439,704,329,768,892,
351,864,704,633,966,115,080,195,547,430,339,133,185,054,334,771,464,620,745,
886,296,559,943,935,827,233,451,349,979,621,946,421,917,154,306,273,496,031,
167,099,571,244,899,225,985,139,923,243,691,592,799,797,311,896,299,241,093,
527,390,907,220,008,674,946,681,802,489,582,925,738,931,542,654,374,138,517,
225,741,901,215,153,522,341,173,910,862,262,135,443,790,148,309,604,120,095,
347,715,169,967,842,061,647,911,440,994,523,711,749,867,001,142,376,996,130,
565,695,997,817,284,369,767,959,622,144,397,702,669,725,967,402,715,989,125,
970,007,438,249,309,756,908,286,899,238,524,624,863,195,011,006,001,905,642,
729,511,507,902,492,274,489,801,738,685,674,445,307,298,722,629,385,168,675,
212,710,416,745,432,966,632,825,679,795,047,333,510,365,093,548,440,288,820,
268,685,130,415,685,304,150,877,062,092,741,360,883,996,218,840,980,509,764,
008,962,218,661,034,435,582,130,496,669,288,411,737,944,574,897,731,250,062,
864,536,763,630,684,927,504,703,705,558,364,366,266,453,097,018,849,127,808,
679,034,300,395,584,398,130,638,305,297,675,217,150,355,804,425,907,484,821,
115,823,726,601,140,681,985,800,488,958,605,627,449,207,535,300,047,489,145,
210,687,214,959,107,810,503,957,162,087,770,013,683,855,940,879,488,784,532,
204,828,516,095,589,900,369,979,316,987,966,392,122,336,056,708,406,889,799,
489,653,554,315,201,338,333,043,014,070,944,420,920,245,499,922,257,837,290,
135,233,468,927,262,284,258,656,992,924,866,809,299,285,783,014,389,461,897,
223,770,812,362,778,870,295,867,978,398,208,106,847,355,649,537,017,037,121,
135,378,035,290,671,182,042,143,147,158,874,840,200,362,270,549,089,122,324,
391,980,983,832,793,924,051,548,867,286,621,410,037,329,742,265,070,336,662,
710,482,596,034,535,396,882,393,662,133,948,704,261,961,205,567,490,852,019,
085,831,892,205,842,446,421,045,522,065,273,867,583,082,141,405,716,150,593,
935,526,038,749,571,716,215,354,501,583,346,772,208,273,434,742,911,930,726,
003,444,448,932,814,740,671,939,772,194,493,472,543,968,088,662,422,195,204,
956,220,152,007,657,676,088,542,057,692,577,189,656,970,609,589,866,257,472,
268,558,949,395,137,991,429,756,784,547,878,002,564,231,111,854,792,152,818,
735,366,915,637,155,868,972,327,080,877,996,786,032,495,840,872,588,428,069,
136,830,957,075,868,824,770,525,231,428,120,947,394,129,652,297,750,390,161,
843,492,635,586,097,969,587,687,724,869,398,968,586,390,228,836,311,905,528,
018,659,706,915,745,708,726,986,918,481,493,811,628,283,900,070,061,266,922,
716,942,454,641,489,536,913,778,105,384,893,974,779,875,074,183,081,339,653,
511,981,950,836,234,478,970,943,712,699,841,220,286,863,353,479,885,588,061,
946,620,060,944,318,845,339,328,892,469,219,071,899,044,059,124,618,466,445,
900,499,736,947,968,229,380,594,942,127,478,306,928,598,726,787,234,319,316,
696,104,829,907,929,910,082,196,383,977,651,932,443,608,151,816,226,480,206,
974,437,262,903,187,585,643,763,676,106,812,259,181,390,426,986,147,941,491,
246,741,037,312,815,234,835,504,264,857,730,620,888,685,567,675,073,676,244,
638,434,486,577,616,058,490,701,237,551,477,198,435,450,005,589,182,174,898,
026,011,987,460,650,894,046,853,049,119,702,070,207,710,971,544,406,364,287,
620,189,426,996,219,678,356,244,345,192,349,803,393,514,909,088,252,012,632,
994,272,100,738,525,989,035,532,834,054,201,007,151,389,143,634,683,604,362,
324,642,592,736,454,594,487,157,554,055,948,388,983,415,682,292,466,951,861,
171,275,773,770,454,602,435,850,668,544,091,635,050,370,417,609,536,074,362,
242,727,572,000,432,431,876,835,527,549,755,269,738,516,483,851,621,302,200,
391,826,582,589,869,302,242,537,987,341,620,767,526,162,267,597,001,000,264,
103,837,831,658,079,348,871,712,353,622,552,746,418,620,025,959,984,005,035,
901,219,090,064,431,036,989,897,828,954,506,794,186,299,977,430,896,097,558,
591,507,763,190,543,330,394,120,653,718,673,406,939,921,773,314,416,065,915,
008,212,727,698,883,085,117,370,975,988,418,946,909,280,275,510,576,868,456,
432,807,185,533,758,927,884,245,319,040,566,821,895,858,692,018,451,937,162,
135,613,183,744,462,935,510,836,885,780,153,354,814,040,153,962,978,143,465,
497,155,509,461,854,018,821,683,722,963,908,915,993,058,381,816,306,738,252,
990,778,963,502,042,102,600,619,966,250,255,910,757,590,251,520,951,605,656,
633,445,253,151,553,081,736,711,594,243,394,969,114,674,688,191,758,088,630,
477,146,329,598,479,355,587,395,995,237,801,658,785,074,575,695,182,811,437,
773,100,515,422,107,222,609,352,064,024,260,645,533,737,546,230,682,570,316,
612,790,340,412,004,273,528,755,299,984,620,372,633,740,069,111,902,612,869,
930,565,438,266,738,444,991,668,118,427,030,159,825,803,836,613,289,068,108,
802,703,835,530,197,500,187,828,195,337,394,092,284,971,375,641,636,235,407,
971,809,168,888,306,180,350,104,531,906,954,505,534,592,558,790,165,428,611,
816,038,039,750,269,417,030,479,138,076,671,308,184,513,927,805,126,484,720,
895,835,539,028,747,697,795,012,001,980,117,921,492,902,348,169,311,266,873,
668,226,203,496,740,484,094,281,400,827,573,081,055,716,064,087,391,653,193,
143,281,568,279,118,769,393,452,595,854,023,026,131,241,671,503,571,005,081,
304,910,156,153,327,732,302,837,255,532,474,833,376,057,354,276,878,766,983,
820,546,249,777,971,889,385,387,944,049,379,614,697,488,781,843,329,763,970,
186,273,397,530,253,644,549,309,355,610,329,904,270,565,604,249,082,333,186,
653,289,740,388,318,050,356,164,822,605,068,950,444,924,677,490,372,780,686,
746,369,385,251,394,213,517,617,443,652,810,376,041,591,598,636,605,652,364,
129,636,159,478,146,323,507,953,246,196,985,901,752,960,403,948,759,101,051,
417,249,804,839,394,294,945,583,539,815,967,831,865,084,104,922,295,607,420,
373,737,791,084,819,449,208,457,176,902,860,262,468,728,261,034,605,371,268,
882,284,383,426,647,977,693,090,691,853,852,780,375,726,066,253,224,277,549,
722,032,211,862,758,647,989,351,940,069,490,525,607,027,244,082,021,723,608,
254,697,765,199,311,425,168,046,986,364,029,883,650,024,117,210,198,893,573,
591,608,354,160,464,858,389,473,136,116,999,442,352,759,311,951,072,714,846,
251,902,687,550,748,660,068,724,007,494,205,052,494,410,662,684,864,886,007,
238,936,869,746,288,251,784,897,686,314,401,935,227,757,587,949,463,320,950,
313,677,627,190,724,694,581,032,517,325,047,973,015,094,162,927,840,286,455,
340,497,117,646,001,620,435,398,020,444,982,325,559,438,167,643,903,557,015,
275,525,162,142,015,321,016,275,639,603,225,506,306,396,363,089,271,149,654,
716,431,093,415,898,985,054,502,912,301,050,486,217,635,622,617,748,652,611,
139,112,403,592,170,437,768,492,139,002,231,733,924,810,346,756,621,979,103,
780,074,562,852,306,701,663,252,471,079,411,165,581,463,335,466,772,830,601,
072,837,254,268,905,484,707,279,944,160,750,276,889,252,011,757,640,607,332,
609,407,247,421,909,182,646,326,181,146,449,345,155,490,481,918,282,190,821,
068,425,956,988,077,868,736,510,648,779,370,123,985,752,721,586,274,702,209,
243,195,710,386,164,825,412,287,864,732,928,018,714,770,161,469,834,180,674,
397,668,483,241,869,782,120,943,287,409,360,881,186,193,087,433,107,329,914,
218,586,172,137,535,467,839,709,365,638,939,265,674,217,258,253,253,560,288,
964,719,382,089,606,429,726,661,349,124,268,670,569,570,800,194,522,076,856,
881,061,876,724,925,721,128,892,130,882,904,403,653,478,966,436,501,916,843,
708,999,630,185,935,551,042,447,797,164,151,000,654,851,475,891,686,522,366,
768,685,586,334,498,660,332,465,512,284,453,156,422,094,237,741,233,696,867,
838,920,772,037,909,524,157,407,718,261,481,153,017,425,780,486,277,330,572,
836,248,574,837,239,639,622,527,202,555,240,773,995,639,737,592,449,448,764,
627,367,057,598,047,155,449,928,327,154,741,228,528,569,029,833,400,396,184,
001,487,829,675,212,517,825,122,423,621,214,316,740,156,168,054,934,136,654,
154,391,798,539,299,557,210,465,176,102,968,392,530,335,322,612,399,242,880,
518,806,993,557,096,465,029,156,446,427,245,190,734,296,503,217,770,726,626,
252,574,806,228,317,060,766,324,090,538,088,800,660,904,788,379,878,092,170,
557,421,088,585,709,857,542,256,753,642,715,817,330,780,650,019,948,377,458,
789,992,079,241,878,959,463,833,062,715,986,203,569,788,027,979,882,879,210,
662,054,115,083,326,378,121,380,108,209,390,644,169,548,442,049,205,232,175,
228,707,099,433,534,102,858,843,170,391,768,499,693,660,812,425,406,356,331,
751,778,650,020,640,979,496,480,371,840,912,661,508,571,255,510,659,974,687,
015,769,218,424,465,283,542,841,065,383,821,450,641,275,313,238,321,081,236,
178,300,276,129,780,043,343,232,435,772,595,909,326,718,425,156,329,460,603,
829,772,828,869,359,311,130,333,751,977,323,675,695,266,160,018,302,593,374,
164,337,319,634,111,796,501,814,151,775,914,300,395,151,586,721,400,611,536,
375,172,090,656,763,970,035,022,678,455,820,768,313,927,708,532,158,533,223,
784,526,255,903,662,609,132,686,581,964,551,046,482,098,037,303,037,363,270,
987,905,791,131,047,675,064,644,530,898,514,257,664,495,343,273,869,571,871,
234,636,857,931,485,540,630,652,018,706,292,063,095,162,417,226,020,870,380,
655,001,075,948,605,243,827,640,473,219,999,367,614,586,761,653,371,961,216,
373,071,530,832,484,838,875,569,254,076,261,726,210,357,844,398,993,585,004,
473,394,141,084,127,683,124,633,271,895,378,519,132,944,126,896,796,021,584,
172,839,861,505,407,994,750,115,472,039,871,847,661,358,465,266,558,078,494,
107,904,580,102,395,622,895,127,999,371,309,158,853,852,535,536,794,173,857,
229,534,901,626,789,792,415,628,178,704,234,128,534,882,738,826,433,035,006,
042,948,545,597,221,541,038,990,399,380,449,905,805,738,293,498,830,460,158,
517,451,915,185,263,980,796,202,346,776,097,170,083,957,403,000,454,456,509,
500,150,984,295,660,641,395,825,315,555,254,416,454,437,575,657,822,267,310,
387,022,303,926,542,137,433,584,402,922,366,922,575,580,050,535,323,865,724,
811,987,350,350,158,108,023,056,960,626,978,737,342,196,935,478,318,298,783,
177,677,180,651,388,629,617,645,138,180,948,417,679,895,645,551,160,034,143,
658,465,452,966,417,826,688,094,378,412,340,723,097,066,931,742,620,130,181,
402,060,220,379,062,404,606,309,233,967,940,306,445,439,670,182,458,341,732,
255,564,654,191,428,966,450,083,627,802,888,829,470,961,724,647,786,019,356,
820,382,367,876,555,517,523,836,431,233,714,247,734,442,340,635,985,476,878,
433,052,321,855,638,853,239,417,916,512,846,491,803,404,397,492,050,270,370,
282,027,749,593,916,688,995,833,503,833,630,889,191,638,717,935,688,195,644,
696,952,453,152,578,378,147,573,308,924,235,075,379,836,258,971,408,188,247,
139,352,887,698,261,655,199,699,718,838,739,347,239,475,659,824,033,629,375,
123,763,855,120,441,762,800,999,946,343,908,673,480,635,719,971,137,133,916,
858,110,113,541,481,050,608,366,390,190,606,857,508,597,588,689,267,599,525,
530,038,166,198,638,650,516,703,743,076,029,075,689,236,426,788,194,628,752,
099,699,486,036,634,466,242,525,091,413,479,863,877,042,988,096,917,101,314,
210,892,256,037,765,625,266,138,210,817,378,258,601,204,954,610,740,385,606,
202,411,520,401,110,898,722,562,459,601,079,355,154,755,444,539,704,351,242,
077,915,754,728,557,820,338,272,529,726,960,627,135,637,659,496,216,933,480,
825,152,410,571,094,618,141,287,430,875,373,053,903,053,001,919,813,459,255,
012,819,253,325,759,007,872,714,029,163,263,237,825,981,636,838,739,266,944,
987,115,343,140,818,788,185,191,174,331,826,318,875,646,051,081,766,094,508,
909,442,181,367,398,928,124,940,713,885,539,643,211,671,989,918,161,831,653,
682,441,225,416,141,217,809,147,618,993,443,608,947,846,935,228,899,098,412,
264,191,062,868,516,080,005,628,236,070,519,047,967,289,776,782,659,844,383,
504,552,044,503,919,348,651,319,883,545,634,073,706,875,952,953,721,683,364,
510,278,203,758,729,211,254,441,059,344,575,617,461,911,617,193,176,433,789,
318,236,504,239,416,669,620,971,538,816,378,801,919,631,563,202,351,765,279,
979,201,033,964,080,485,942,834,083,608,650,590,603,828,128,707,913,459,206,
338,992,920,638,966,490,299,013,891,192,108,996,066,881,179,657,965,201,799,
044,439,793,703,226,243,911,812,865,378,996,572,347,654,028,107,336,202,727,
772,829,747,391,317,027,752,786,776,880,393,394,262,014,659,591,736,954,285,
596,058,239,915,973,471,382,629,645,054,863,896,412,202,902,165,902,792,136,
421,657,692,465,528,226,074,090,072,369,068,289,095,095,264,250,993,082,060,
757,425,527,264,537,899,673,805,327,982,823,452,471,320,098,265,984,930,200,
038,997,980,797,284,018,293,814,126,288,040,660,354,302,499,954,777,114,274,
112,186,540,072,926,966,119,220,828,829,759,895,238,943,671,299,781,487,194,
145,848,973,915,782,798,208,793,837,747,246,045,839,915,000,346,350,450,406,
127,603,124,091,423,532,248,370,524,952,535,777,673,657,818,393,086,609,176,
449,216,736,945,819,158,579,180,495,054,075,950,138,163,121,287,129,904,292,
415,624,362,734,068,021,415,828,124,322,569,036,594,895,289,248,650,589,222,
819,452,232,552,374,452,883,601,331,320,329,526,658,297,426,817,652,521,571,
186,384,695,283,525,499,796,709,289,927,923,948,044,243,306,168,417,028,579,
226,251,050,028,908,790,504,609,559,896,864,480,979,470,074,742,071,800,502,
953,751,325,677,200,137,976,263,930,296,124,495,203,071,846,381,578,845,230,
586,518,491,696,014,337,783,817,957,711,978,876,021,424,211,455,259,489,390,
623,119,833,183,872,129,533,335,937,135,144,135,172,185,224,403,400,090,853,
625,019,585,689,882,979,176,672,869,513,888,724,946,326,414,044,729,885,997,
011,891,772,598,118,046,033,917,899,948,179,815,869,456,722,388,218,204,842,
317,363,226,302,908,919,561,252,785,360,337,854,616,958,828,547,238,621,076,
680,609,363,372,385,110,030,243,685,887,821,733,825,631,666,505,443,948,388,
583,304,378,228,630,113,612,474,954,754,423,744,511,461,734,770,776,670,252,
530,566,031,779,150,090,468,957,614,667,518,310,300,187,578,179,450,138,430,
748,345,694,429,501,363,037,087,140,660,598,765,807,012,368,439,322,923,675,
837,400,323,361,865,037,833,827,820,604,652,333,729,186,210,412,486,819,622,
324,767,443,318,784,142,150,530,476,795,704,850,662,752,091,124,230,977,604,
774,204,799,062,057,637,501,236,579,182,219,279,851,079,654,106,261,044,744,
818,739,427,935,116,215,978,202,689,892,153,901,335,998,809,151,095,448,836,
088,605,833,680,508,276,464,662,985,994,706,330,773,358,654,432,008,162,605,
165,147,220,161,945,981,948,074,497,872,827,934,975,848,536,828,741,474,102,
812,888,067,959,009,563,840,211,411,187,253,275,241,059,726,152,883,313,467,
062,594,989,865,431,741,367,070,303,047,867,220,689,430,892,519,962,243,187,
525,424,742,104,902,075,177,787,101,350,334,880,388,123,051,529,054,255,047,
391,648,936,750,488,964,208,404,738,734,602,904,823,643,378,099,409,286,965,
870,529,170,989,568,685,344,575,177,125,783,528,166,433,597,257,067,868,945,
119,664,961,614,796,636,785,256,600,750,423,280,470,402,538,855,919,278,522,
823,306,313,789,545,315,321,759,153,529,249,852,710,096,120,377,277,114,194,
985,883,560,334,600,929,540,198,378,595,164,721,308,222,491,821,508,844,287,
900,817,708,288,582,077,151,908,618,010,107,900,124,617,732,925,486,572,028,
953,993,166,653,779,728,473,337,306,488,638,374,479,144,660,399,502,025,135,
605,058,368,485,169,942,232,235,973,295,633,354,795,770,273,999,394,200,492,
837,923,729,435,916,613,842,893,271,523,855,398,702,784,386,791,395,201,086,
770,943,172,579,356,413,191,917,004,322,946,524,528,977,352,842,295,506,465,
523,759,467,184,398,783,719,668,609,890,639,018,727,011,624,127,189,937,466,
907,264,677,722,886,972,228,587,824,190,751,477,710,180,653,216,143,296,410,
566,432,214,219,043,884,632,740,691,361,558,636,329,042,066,212,388,140,887,
252,048,317,476,906,347,494,680,803,718,886,029,497,650,795,363,827,093,270,
664,816,397,774,185,171,128,596,434,557,323,287,339,041,670,625,000,005,172,
672,883,174,141,615,014,072,193,003,007,851,105,157,911,212,527,604,479,622,
584,153,448,974,056,262,367,293,814,480,165,261,393,607,495,215,014,414,388,
489,077,442,218,684,878,498,299,405,462,999,113,294,804,077,799,245,232,427,
304,568,986,574,086,029,295,630,521,202,051,981,463,605,981,253,632,805,511,
526,848,342,758,268,770,529,069,655,000,249,887,867,591,932,332,094,789,319,
466,940,684,477,980,225,435,614,022,241,509,887,537,855,880,369,975,340,620,
903,950,883,864,847,666,254,033,854,854,792,287,807,200,477,581,780,610,480,
672,376,375,954,278,227,462,284,056,793,975,321,591,855,882,116,472,098,515,
320,545,640,904,213,788,219,917,510,731,594,601,887,576,719,072,868,378,758,
138,094,066,241,555,248,900,287,359,896,983,610,517,141,014,832,280,310,386,
425,809,290,869,353,294,845,686,993,040,791,862,523,740,680,663,382,871,701,
364,073,933,094,481,866,934,669,208,600,994,326,990,858,289,409,693,334,106,
500,862,677,315,523,383,112,662,204,740,549,620,342,640,396,279,287,747,831,
652,185,564,685,903,602,279,601,342,589,578,147,346,026,616,684,644,667,539,
568,656,517,608,852,112,363,784,478,653,037,710,992,200,460,936,857,525,898,
955,989,617,256,521,113,757,990,636,297,339,354,225,928,328,576,682,777,087,
190,548,560,388,107,853,566,439,448,203,542,406,354,160,082,977,260,199,255,
408,091,766,402,598,065,108,052,433,456,912,549,298,405,504,782,258,927,026,
303,153,066,280,492,086,624,991,603,415,468,357,964,851,944,543,446,279,947,
796,090,339,110,721,477,123,190,337,241,978,081,599,768,620,197,115,424,044,
246,742,059,097,310,144,303,830,216,558,923,173,572,978,295,830,738,275,908,
038,983,268,678,671,965,467,910,932,066,227,997,475,566,342,400,858,848,699,
181,532,384,630,776,251,211,735,973,587,700,177,022,219,926,064,470,901,079,
535,697,325,186,509,239,353,473,327,959,530,401,593,765,946,088,385,372,662,
301,467,905,933,083,585,035,700,157,473,605,824,332,581,255,053,907,448,099,
630,631,635,730,606,113,530,418,813,622,292,872,125,486,084,452,854,942,582,
996,665,755,142,628,999,244,056,136,103,322,292,460,235,846,505,254,648,737,
805,908,307,832,751,081,257,242,709,603,354,229,327,226,366,078,248,179,570,
883,301,467,833,301,474,408,271,288,385,156,169,782,224,986,967,706,327,258,
474,785,948,724,323,660,851,473,214,062,876,294,113,087,891,852,823,599,224,
778,354,295,578,149,975,836,733,034,326,324,344,125,172,801,364,678,699,750,
559,993,796,672,334,673,886,905,890,448,897,324,091,974,248,951,197,129,380,
658,752,010,165,186,626,799,242,252,003,896,700,883,975,433,660,894,761,275,
625,671,907,688,885,283,852,819,271,835,207,428,264,518,209,207,862,353,345,
275,907,942,048,057,725,710,063,168,114,278,053,674,189,961,169,148,717,425,
461,757,915,334,613,591,326,824,105,867,073,119,166,258,760,861,632,641,623,
225,545,610,049,530,088,857,202,109,540,795,429,575,267,506,859,141,023,235,
068,184,475,275,817,752,744,178,031,449,188,693,059,297,316,423,410,179,391,
628,894,244,871,017,041,160,856,785,906,019,894,512,137,616,755,169,865,766,
293,387,350,809,441,839,741,529,690,068,580,715,084,376,769,712,581,944,410,
262,775,894,272,535,614,788,213,538,793,590,271,948,376,381,490,065,556,017,
869,596,488,242,009,350,369,790,209,305,210,889,857,788,947,658,026,148,208,
584,137,700,072,350,784,244,211,876,543,574,683,912,862,652,276,697,476,856,
566,687,111,338,059,945,638,996,851,800,428,054,557,986,740,905,276,076,777,
982,739,346,486,891,144,343,346,670,840,046,600,982,075,077,719,006,794,715,
476,489,173,851,120,211,720,330,934,027,101,017,452,138,547,760,108,988,209,
018,227,443,082,273,430,525,280,434,702,153,076,760,255,477,522,748,324,846,
679,623,522,287,958,324,609,775,995,072,462,339,647,092,677,395,103,951,211,
731,289,068,904,744,686,447,106,338,396,168,465,475,184,976,129,958,692,909,
329,398,336,942,412,525,949,765,873,898,520,356,322,391,900,278,273,615,019,
918,670,342,603,330,669,357,516,513,975,446,170,904,279,794,437,867,927,533,
670,557,923,964,060,977,318,405,672,927,346,972,574,055,697,177,684,005,334,
635,442,809,293,253,202,915,203,713,669,028,513,175,603,129,884,907,687,283,
608,449,313,064,647,189,207,433,255,906,464,059,530,124,282,092,538,558,127,
567,024,101,632,825,730,509,974,009,162,317,730,957,353,054,570,726,606,539,
068,704,031,156,351,593,310,705,552,145,262,727,378,367,268,313,575,650,263,
545,286,730,267,775,993,668,141,941,885,523,319,916,502,921,300,832,461,415,
921,643,595,748,861,209,259,897,141,923,002,856,249,220,059,152,067,201,299,
562,070,076,668,608,590,549,759,520,202,742,590,589,237,924,680,238,030,642,
111,673,372,134,867,290,650,010,715,836,306,359,673,209,862,194,119,017,103,
875,846,169,435,234,664,366,298,340,332,540,300,043,320,872,610,072,882,549,
070,841,197,802,860,771,209,518,684,456,254,271,980,233,846,790,123,135,855,
527,125,800,706,917,491,309,178,066,251,059,375,190,517,119,553,614,008,897,
795,784,664,604,518,893,927,253,631,750,553,938,487,538,331,855,847,989,439,
432,941,467,435,336,851,598,963,016,335,120,334,617,752,555,103,694,870,742,
405,757,238,905,613,584,543,576,463,480,075,472,292,831,810,640,380,144,411,
460,751,721,292,359,069,353,444,148,676,840,311,484,675,421,291,801,874,838,
832,388,640,315,127,217,525,350,272,744,541,237,280,850,536,731,338,373,883,
265,485,475,058,414,903,750,763,308,669,524,325,107,666,850,582,931,048,154,
444,202,674,129,921,499,512,994,369,040,265,201,686,415,123,231,983,623,983,
126,066,053,566,594,635,007,112,570,154,065,876,564,755,292,460,631,668,452,
237,098,613,814,745,085,031,877,185,422,155,409,429,049,959,869,863,819,771,
069,357,102,064,923,729,734,046,387,867,747,624,413,104,938,653,044,529,266,
648,373,134,540,460,934,644,469,898,329,723,077,663,576,414,642,314,888,554,
602,328,992,477,615,180,183,983,968,912,542,231,941,057,002,326,697,735,215,
093,021,555,536,702,321,897,001,098,998,081,240,582,727,987,565,052,948,361,
765,437,965,749,139,290,395,002,179,829,081,711,442,291,478,851,280,630,512,
866,900,744,621,730,925,417,287,560,423,343,507,419,062,996,830,779,947,511,
920,718,989,561,376,193,854,506,537,026,181,239,168,272,261,228,039,790,947,
763,303,566,670,120,618,908,368,385,185,087,665,174,662,525,138,134,416,785,
480,451,344,537,916,108,822,307,983,415,742,975,186,018,107,691,032,435,676,
230,231,870,274,792,799,395,477,043,451,778,768,867,575,590,084,815,814,518,
269,722,700,696,256,295,665,040,025,887,942,647,715,409,478,971,556,659,691,
591,276,658,778,785,706,533,428,543,867,288,507,985,601,920,055,593,374,277,
716,072,108,722,821,768,358,257,164,096,539,468,737,916,894,205,096,608,264,
653,522,944,695,107,138,002,360,331,399,714,346,089,414,016,497,597,464,062,
735,647,058,919,325,065,126,432,279,859,773,657,374,062,171,876,980,663,895,
965,897,752,630,627,580,436,818,553,690,154,277,906,249,097,293,711,542,348,
386,837,348,870,719,692,816,165,963,205,141,638,789,113,933,047,521,711,598,
658,046,059,991,737,444,950,849,812,732,045,624,121,027,666,451,006,404,340,
476,701,293,966,270,476,380,945,302,944,951,554,305,958,528,008,353,488,783,
704,405,911,163,136,826,282,278,978,457,160,877,024,455,825,176,267,982,108,
067,373,862,276,058,850,421,342,049,463,356,605,660,684,834,668,535,356,597,
680,482,367,595,780,576,183,106,535,741,003,128,075,043,102,580,833,651,323,
826,393,006,767,333,470,226,738,838,664,015,639,355,738,260,982,802,532,320,
921,728,713,833,466,323,708,585,302,906,007,488,907,073,582,780,387,838,228,
580,478,188,207,088,860,228,620,133,239,313,441,173,840,190,451,349,205,744,
611,953,014,866,711,320,506,264,163,689,424,385,592,196,760,247,267,590,353,
961,237,836,193,278,029,986,298,456,151,643,317,063,125,317,726,712,302,817,
116,739,896,655,187,455,662,999,211,650,366,239,543,249,090,156,635,777,398,
952,218,556,169,476,903,175,391,816,004,891,318,111,879,932,118,861,001,799,
187,846,406,806,137,812,635,750,848,420,600,853,731,159,538,998,074,339,608,
064,604,886,682,735,572,155,640,353,753,454,336,229,766,541,065,672,906,069,
280,413,789,470,645,120,138,152,765,375,549,104,111,703,253,136,285,798,302,
984,073,195,568,252,888,076,626,072,676,977,248,874,405,360,186,434,821,069,
101,272,434,230,750,869,787,487,355,429,561,088,375,821,415,238,204,057,039,
343,666,902,024,232,084,114,718,361,774,092,153,923,254,958,908,127,333,024,
118,626,869,404,958,165,080,235,921,270,277,209,425,058,631,560,939,334,167,
862,925,636,953,053,412,392,070,605,185,415,675,969,786,737,762,299,028,135,
855,061,302,317,167,216,152,152,796,255,780,286,214,167,101,729,484,547,225,
281,270,829,235,274,616,833,314,927,304,161,613,489,064,496,465,080,151,550,
371,618,123,492,964,594,036,920,278,529,114,977,176,714,306,893,699,570,494,
803,935,338,085,624,499,197,218,713,228,298,260,307,565,170,800,869,419,304,
065,576,795,937,604,386,154,555,828,030,551,546,138,051,771,050,907,445,685,
717,778,670,229,536,155,981,570,520,969,972,240,296,858,964,923,692,795,814,
473,731,836,727,460,741,723,865,573,220,559,834,482,824,707,282,084,017,595,
727,791,227,828,183,249,001,904,811,708,549,128,536,515,269,716,285,869,794,
889,900,662,229,107,042,248,562,858,946,409,282,740,587,669,818,484,880,281,
369,740,445,950,345,785,437,611,411,843,727,263,381,486,655,190,371,337,428,
798,466,022,168,798,376,815,998,378,646,987,720,856,412,719,661,083,656,769,
806,795,490,796,016,255,246,807,823,924,732,761,346,161,765,731,621,907,525,
994,899,961,333,853,254,161,281,951,282,248,063,382,325,636,857,387,314,430,
007,202,017,934,916,657,793,778,647,427,735,525,014,753,178,887,287,760,453,
847,577,962,049,619,054,908,160,038,529,450,852,641,990,810,432,191,506,865,
911,436,762,474,800,964,467,880,625,658,055,251,778,976,922,734,014,333,533,
763,552,204,375,459,527,152,904,001,704,708,286,784,318,916,115,611,621,815,
864,541,021,330,560,599,125,638,355,441,701,691,934,689,508,930,636,547,698,
841,719,910,689,531,780,480,387,284,179,154,327,862,795,750,117,859,507,267,
301,622,772,677,465,969,763,273,545,884,513,165,804,543,697,721,835,237,074,
434,521,158,976,066,328,216,624,594,997,164,820,514,146,118,749,486,616,685,
162,138,435,144,695,673,079,494,519,707,836,574,968,300,943,691,493,592,267,
776,882,297,314,936,194,963,009,309,012,749,128,066,236,791,575,126,422,456,
332,322,882,785,556,710,466,573,185,178,574,411,308,942,861,311,762,017,247,
744,826,613,833,554,166,276,189,179,198,002,334,198,825,788,143,163,238,587,
362,331,146,236,283,904,504,901,819,759,045,303,721,291,177,557,076,878,636,
997,101,259,113,142,885,813,041,379,902,773,258,580,105,170,732,821,863,282,
317,093,746,173,799,447,533,526,012,672,105,751,850,687,110,424,222,884,236,
091,627,746,948,251,233,136,279,697,704,914,372,221,289,585,717,794,743,933,
312,906,352,878,361,849,134,525,042,797,218,802,797,507,065,307,973,454,587,
298,285,953,104,945,006,110,420,257,983,883,058,283,908,897,428,489,867,319,
539,417,918,806,370,043,118,427,105,047,755,961,264,595,379,808,636,327,523,
267,831,778,218,856,492,253,630,893,542,831,127,910,507,486,825,118,178,043,
062,678,959,546,515,996,073,917,596,347,548,178,073,425,006,766,124,011,553,
080,578,098,671,392,118,760,331,124,825,602,921,464,487,776,274,970,854,768,
513,045,430,779,202,358,516,553,966,452,572,459,052,932,552,989,686,409,429,
673,533,453,168,020,517,608,463,900,394,894,640,100,633,988,381,284,296,586,
744,698,286,984,923,711,111,162,651,857,928,699,681,078,476,325,831,651,447,
875,872,879,899,683,018,879,856,218,299,367,479,135,241,195,085,652,399,224,
347,579,804,428,219,363,521,340,323,575,564,701,825,414,855,262,814,380,234,
109,982,891,144,143,407,648,377,472,367,486,785,067,083,384,730,809,332,300,
785,198,250,445,562,687,939,202,566,253,847,832,078,537,840,284,464,588,537,
001,511,355,685,594,321,080,668,119,220,828,979,825,017,211,512,915,075,059,
170,542,339,066,586,119,625,285,155,179,636,350,917,760,220,201,154,571,075,
373,858,265,824,148,133,731,576,469,218,630,262,661,738,577,682,601,184,725,
100,040,463,045,838,319,095,903,923,851,839,763,674,662,040,799,867,908,952,
751,736,678,840,359,200,927,639,549,688,270,608,778,788,079,497,886,230,252,
918,220,036,907,597,293,788,918,574,564,196,321,450,893,272,610,652,760,930,
834,211,903,206,838,684,162,432,384,547,578,012,588,063,048,554,218,194,268,
031,550,110,275,408,810,077,836,249,336,644,164,102,582,446,628,739,152,094,
088,528,839,043,757,834,373,964,403,678,938,723,140,887,817,391,195,330,779,
873,435,827,642,767,566,669,674,480,947,869,936,455,586,669,989,039,317,120,
458,922,744,720,658,658,882,233,246,172,503,814,821,266,187,041,822,925,982,
480,294,071,343,780,711,252,014,834,380,037,792,653,310,484,006,838,630,089,
936,398,768,083,477,122,239,062,005,164,736,621,999,753,079,962,231,824,455,
178,044,124,277,327,057,800,427,600,656,259,776,581,594,621,552,300,158,081,
074,770,533,754,516,124,595,245,030,047,031,647,180,366,842,035,604,734,024,
123,848,756,157,467,032,353,678,990,318,510,639,245,577,234,609,622,067,275,
381,865,058,127,256,767,934,445,546,619,381,843,617,622,889,706,236,686,250,
466,083,217,107,561,135,631,602,451,730,800,945,910,291,915,675,293,145,583,
233,822,885,579,681,045,200,163,353,058,785,398,892,026,754,493,280,166,983,
264,105,544,065,341,559,543,132,340,374,597,140,004,108,278,784,889,198,951,
037,692,486,520,308,441,904,164,848,931,108,772,632,066,568,000,493,677,729,
694,504,588,726,648,982,856,170,675,859,723,467,898,421,239,396,571,067,195,
600,381,880,141,420,569,677,300,536,775,998,474,004,067,683,179,320,749,355,
903,775,276,284,054,830,649,422,488,633,009,529,402,427,571,693,406,476,822,
550,858,199,811,251,135,866,450,591,206,463,002,564,325,243,805,390,148,373,
683,820,612,483,167,969,211,264,162,332,224,465,995,529,454,119,604,631,324,
631,785,726,440,257,063,218,254,820,524,831,880,266,661,621,878,644,473,932,
805,783,589,565,336,791,225,114,719,680,679,319,231,626,037,872,214,878,725,
121,065,225,902,098,335,108,349,924,677,418,621,992,622,307,686,411,905,322,
224,489,136,600,075,187,525,858,834,670,791,834,762,672,157,211,606,356,503,
798,965,701,704,937,975,123,044,496,578,153,298,079,752,386,759,115,898,686,
269,272,163,169,956,620,032,045,193,702,273,474,940,298,334,248,509,139,041,
159,296,953,592,531,673,145,839,428,099,215,797,311,383,405,133,024,116,344,
150,128,077,581,093,224,170,208,898,084,094,626,491,217,337,808,779,904,758,
120,769,226,854,800,072,468,164,575,471,256,190,239,206,710,962,905,041,780,
956,067,105,241,841,292,158,127,418,043,558,157,555,125,050,528,048,518,673,
359,418,881,141,496,264,856,643,728,584,745,214,476,543,390,169,533,147,888,
059,419,788,685,489,082,591,006,155,779,298,611,645,805,877,599,078,279,701,
007,829,506,957,940,527,364,671,658,157,609,098,546,711,257,070,417,453,458,
981,615,159,758,871,493,348,279,796,478,008,110,361,130,142,367,932,591,675,
821,112,943,919,513,876,302,677,670,522,085,581,737,266,645,210,076,084,575,
048,155,558,498,904,153,570,241,954,112,628,499,333,999,110,471,366,205,277,
005,716,356,991,409,662,085,775,410,670,688,630,381,366,576,333,744,642,938,
553,529,688,869,052,804,108,436,237,340,300,146,662,841,437,520,538,158,024,
431,378,745,460,971,051,277,315,593,363,499,797,658,170,749,095,049,659,421,
463,464,262,103,194,496,525,553,436,595,105,376,825,041,176,947,277,969,080,
244,475,525,516,182,607,517,185,667,162,322,753,659,986,168,176,427,008,730,
683,222,270,984,176,859,837,098,887,947,799,376,921,072,515,731,891,281,778,
413,126,759,033,670,987,176,337,166,155,163,886,195,849,792,595,242,086,585,
770,334,624,830,449,584,507,220,263,734,063,401,385,833,610,137,734,817,125,
800,429,176,477,373,954,168,209,304,381,872,760,558,470,796,528,456,180,173,
787,508,425,091,921,310,680,849,536,138,414,202,745,015,370,533,485,180,383,
777,232,512,717,055,381,397,517,554,459,761,732,088,077,352,565,508,542,628,
633,134,987,746,206,028,273,385,911,477,835,169,150,791,893,397,983,727,184,
314,841,669,573,479,537,557,286,749,934,348,682,999,547,152,433,163,461,930,
969,182,455,159,863,326,641,535,610,772,581,579,425,070,037,861,837,240,507,
182,483,698,644,403,198,508,876,390,126,525,707,644,425,341,787,203,193,607,
567,889,687,037,928,082,359,738,504,903,892,527,040,782,403,637,412,391,908,
472,180,445,927,151,119,410,286,546,380,505,107,131,542,993,844,420,297,230,
862,576,811,195,459,301,134,530,901,956,069,395,313,322,244,346,702,254,950,
201,382,270,347,415,804,771,731,271,214,334,649,142,094,933,097,646,691,848,
641,295,350,242,096,546,227,961,510,845,878,685,859,285,201,450,653,994,546,
036,159,135,519,421,514,910,230,067,492,516,686,362,600,969,473,536,916,327,
602,196,329,948,575,427,828,296,063,854,772,497,180,455,602,529,614,333,618,
544,227,996,488,104,157,173,635,916,146,739,410,779,105,651,273,683,128,140,
395,121,577,075,646,811,051,085,689,119,427,529,638,265,376,902,245,040,565,
815,069,106,233,428,383,977,983,175,749,596,260,567,960,183,218,518,406,890,
611,864,328,092,643,098,162,845,493,423,857,413,751,251,849,183,994,923,150,
636,287,282,671,896,864,011,306,896,053,652,522,389,681,125,357,705,155,760,
419,052,878,108,820,935,495,335,082,223,911,877,911,407,314,273,891,993,366,
256,388,061,973,464,881,702,110,266,755,838,036,145,014,010,822,918,123,662,
967,416,087,755,520,964,873,146,346,156,958,754,911,239,885,742,192,562,397,
833,128,451,482,489,044,360,833,876,654,723,539,578,152,656,427,620,767,954,
970,529,109,312,911,781,976,070,849,351,291,442,692,488,134,103,177,768,274,
826,959,613,442,064,988,815,073,979,583,801,670,877,864,384,250,168,812,403,
206,513,941,436,568,265,803,358,181,783,852,397,839,365,301,772,359,890,900,
421,633,624,887,404,530,711,621,087,624,106,171,125,034,773,467,319,763,576,
102,238,628,461,332,364,092,154,079,623,560,393,166,404,820,488,713,932,099,
100,485,081,408,182,315,047,636,150,189,774,958,735,733,401,286,715,261,057,
823,113,084,809,269,961,475,193,149,894,278,983,856,781,110,166,108,136,380,
709,877,303,934,027,307,439,723,116,468,484,437,981,950,541,303,368,091,458,
005,551,715,696,069,162,952,702,416,189,458,093,523,911,010,328,900,860,460,
464,658,250,014,891,051,567,567,761,509,927,370,594,718,787,846,387,741,654,
438,374,867,751,501,560,597,913,963,753,271,548,832,960,626,967,632,943,317,
735,178,788,587,938,251,504,180,163,133,633,839,196,726,271,537,383,207,824,
381,827,132,045,572,107,966,713,121,579,670,843,082,900,496,949,778,345,809,
733,510,577,494,135,816,734,995,485,991,931,820,594,922,278,326,763,309,944,
038,748,717,372,443,748,761,219,094,955,299,914,242,992,385,344,376,447,545,
018,316,151,436,082,483,558,585,435,446,364,423,472,072,827,532,321,853,887,
357,880,847,272,127,776,190,049,093,234,883,662,711,498,565,162,250,045,895,
572,199,902,946,662,909,115,815,014,255,737,068,247,946,354,496,190,965,249,
534,603,154,342,719,803,219,764,737,484,955,962,251,388,188,207,558,030,293,
827,441,341,719,313,293,814,925,753,427,254,649,284,774,561,141,388,797,769,
494,856,695,075,762,545,609,310,675,114,430,381,474,771,308,385,918,705,012,
685,517,477,968,423,275,973,712,978,631,930,888,820,487,884,958,209,776,184,
253,142,920,285,150,261,386,296,764,929,018,517,773,451,655,556,655,392,513,
422,224,619,378,878,778,509,610,599,122,176,596,151,714,409,970,085,236,216,
899,577,599,617,426,291,755,717,679,241,321,195,704,734,004,656,270,294,822,
651,994,753,943,622,012,999,139,997,964,243,423,825,678,649,970,804,344,818,
973,863,146,145,176,880,474,218,909,068,993,716,522,288,192,219,817,570,194,
030,660,898,104,742,492,251,408,541,403,216,922,617,260,020,136,596,425,601,
132,431,654,176,256,318,815,497,179,595,524,755,088,665,487,856,681,134,506,
727,447,292,499,311,421,440,885,621,512,599,774,373,225,483,579,874,557,449,
938,965,723,094,189,478,009,620,156,033,734,735,792,767,124,986,627,347,487,
110,574,459,063,594,370,735,425,505,826,588,174,936,793,877,266,499,637,952,
624,198,163,764,273,404,855,992,706,126,362,179,190,154,498,902,181,792,357,
468,435,952,442,365,231,630,007,725,692,859,429,042,647,012,397,502,521,812,
358,401,280,788,428,654,655,004,971,402,559,895,249,287,875,065,855,993,556,
455,089,611,407,571,813,917,288,460,283,383,412,891,906,714,290,506,793,208,
054,935,604,497,057,593,911,408,504,153,545,054,094,217,473,585,508,480,584,
773,311,499,774,510,750,906,446,478,526,563,192,059,381,732,045,932,857,535,
159,973,565,441,012,557,278,400,748,377,728,996,213,989,814,673,106,636,074,
340,089,043,438,046,654,849,072,986,493,494,586,697,794,087,979,384,791,552,
661,373,824,907,316,629,337,259,946,135,249,208,418,471,435,255,026,110,718,
391,492,238,002,956,703,316,434,483,826,007,269,942,618,895,432,157,651,513,
785,939,698,288,198,702,613,636,711,508,636,272,103,107,720,441,753,231,774,
639,940,928,315,578,870,028,931,383,631,172,598,799,909,639,164,804,354,332,
912,118,133,053,799,204,235,110,701,547,748,731,296,183,555,227,197,991,933,
839,754,437,466,374,981,178,905,843,570,441,564,567,160,129,713,812,183,501,
972,039,637,346,852,866,342,796,945,778,160,574,438,853,568,601,195,585,255,
452,661,734,298,676,259,332,603,720,160,577,317,628,147,371,032,771,292,612,
663,335,829,797,095,040,784,141,397,085,750,123,881,638,931,955,763,751,849,
088,727,076,219,624,808,015,189,587,286,398,958,166,796,961,966,173,603,771,
000,092,204,538,622,884,273,917,178,214,422,342,728,597,773,812,279,908,757,
707,051,095,187,375,109,063,341,189,926,367,669,330,845,414,304,407,107,830,
823,663,981,941,377,004,767,051,526,245,938,114,920,265,175,453,269,078,342,
071,508,124,648,733,548,395,220,139,720,545,729,650,793,947,308,247,670,686,
219,091,009,149,272,647,948,077,009,737,050,657,396,714,940,395,722,449,769,
433,973,442,605,929,051,801,082,184,598,057,810,326,871,736,255,442,703,768,
026,325,410,741,071,989,120,845,884,676,053,887,656,134,683,264,963,639,249,
448,401,292,476,976,324,279,150,896,258,567,615,133,794,939,398,383,349,797,
950,482,128,856,491,320,168,049,008,886,259,631,343,600,088,648,031,648,798,
894,278,690,948,592,432,542,312,993,947,531,173,074,682,275,384,570,341,792,
281,387,980,239,197,161,957,078,977,689,709,326,741,391,159,733,970,417,633,
198,344,300,345,490,127,683,279,753,316,606,409,528,361,014,088,944,112,892,
666,684,958,431,947,893,275,380,801,174,165,665,133,634,212,723,235,083,283,
564,892,434,236,681,597,543,069,508,037,093,452,732,600,731,415,263,958,855,
111,344,381,522,169,530,514,899,696,961,210,163,893,514,347,244,551,852,034,
788,815,218,982,150,002,973,448,019,145,783,820,537,958,228,162,574,022,237,
298,925,457,365,832,255,526,388,195,383,803,122,269,351,843,640,020,754,029,
517,836,807,862,950,336,956,689,736,719,343,730,512,734,512,666,753,665,192,
696,637,942,118,838,154,260,004,163,798,032,557,782,716,087,793,068,262,013,
052,904,904,188,703,867,507,674,338,870,475,652,247,253,867,511,566,088,438,
290,611,179,527,986,471,381,355,802,662,540,939,258,592,295,458,074,590,259,
847,321,761,414,495,666,423,794,285,519,344,107,714,700,365,774,863,287,121,
652,821,180,746,379,138,607,386,115,196,111,136,933,499,425,238,253,613,569,
246,635,334,452,216,084,753,866,113,070,201,534,361,314,896,176,348,645,113,
138,296,023,732,630,309,319,716,105,907,874,346,058,886,638,627,398,000,368,
051,435,354,967,985,476,232,137,895,225,928,962,156,678,643,383,842,169,670,
457,663,408,680,043,862,094,162,863,740,962,774,524,740,284,701,678,054,732,
767,037,980,720,937,762,689,698,307,024,875,600,122,879,348,686,962,207,220,
419,192,125,870,723,461,640,859,919,486,957,597,190,396,485,031,470,652,651,
536,417,746,194,728,415,567,639,588,368,739,175,905,699,037,259,245,405,957,
779,396,611,383,241,731,817,590,008,038,248,217,598,199,949,633,753,865,567,
662,827,118,486,015,723,363,905,656,420,671,993,066,282,131,687,201,904,981,
569,596,273,521,026,964,824,369,668,112,611,034,357,626,434,825,764,585,357,
860,099,863,986,680,502,978,154,916,780,986,152,726,619,353,433,903,159,572,
900,361,678,114,448,071,778,642,510,930,643,592,782,874,261,868,483,493,834,
780,296,138,522,268,795,868,832,634,811,127,091,061,887,621,730,311,118,618,
340,854,263,143,276,289,270,924,553,580,255,287,163,370,117,898,524,921,295,
371,167,624,110,792,486,514,779,980,495,075,025,126,655,260,213,688,662,864,
487,047,189,254,699,060,608,392,396,985,663,712,763,842,270,459,974,937,621,
202,958,866,518,182,282,505,693,889,671,266,983,513,115,744,957,736,717,322,
246,426,666,045,759,054,588,528,280,357,783,088,131,890,435,778,379,805,483,
151,018,994,706,762,663,897,746,750,829,082,111,512,342,125,084,471,192,380,
886,495,785,339,465,979,675,802,038,832,372,672,742,465,104,935,781,654,889,
698,909,290,019,484,046,601,630,527,995,971,897,077,563,935,711,012,528,660,
272,796,889,260,006,303,005,273,188,659,621,032,568,621,338,953,317,274,552,
725,083,444,723,667,909,660,622,512,017,175,911,189,030,436,281,799,461,994,
928,990,939,930,792,147,374,074,429,681,724,826,944,875,971,767,013,630,966,
841,858,498,005,208,858,531,437,031,284,926,345,299,366,217,687,851,075,819,
890,139,173,630,685,476,383,088,857,878,923,642,944,870,498,685,558,828,191,
464,666,635,807,111,818,077,860,538,539,720,777,722,643,079,869,830,495,152,
469,783,906,855,631,235,806,873,507,498,683,651,090,123,911,759,507,350,310,
031,743,155,064,157,355,061,578,900,686,079,792,183,967,407,881,110,292,974,
980,148,452,923,567,934,930,092,114,586,928,871,606,903,410,837,303,513,342,
684,443,765,692,640,979,386,814,559,867,123,984,551,038,241,054,433,579,402,
269,098,868,414,341,008,864,020,128,511,877,561,623,942,559,574,447,810,594,
938,656,995,913,434,337,885,338,508,103,180,712,964,056,473,783,513,160,090,
268,457,563,029,060,653,776,824,888,869,635,810,709,937,925,932,514,880,485,
416,592,757,924,368,322,814,299,062,065,061,318,077,173,237,327,482,755,987,
690,995,821,241,048,523,428,327,172,967,475,364,598,868,439,597,729,005,339,
503,433,236,083,716,813,716,984,224,945,399,634,637,584,499,616,206,309,563,
779,164,542,549,597,235,280,765,107,878,919,206,324,312,399,312,450,197,421,
416,816,064,544,964,765,295,595,309,572,171,723,751,273,457,274,053,554,670,
881,679,294,563,673,109,212,154,102,237,946,351,267,173,007,294,222,618,665,
314,730,714,657,608,310,175,726,248,133,907,250,499,863,683,967,732,187,229,
170,905,780,860,204,208,472,936,327,660,263,603,692,239,222,941,248,527,187,
910,241,239,562,740,713,023,323,071,666,818,889,511,349,164,796,756,158,349,
779,358,777,113,253,281,538,234,972,853,619,473,886,175,725,017,942,673,513,
884,508,790,565,610,645,356,263,915,037,304,434,689,680,383,463,820,880,205,
570,069,129,885,941,133,313,087,859,204,631,749,051,516,596,165,459,875,296,
264,693,255,632,388,290,055,084,627,710,942,869,688,532,457,550,181,155,282,
298,800,797,472,962,047,707,428,144,494,656,591,657,795,261,971,124,520,486,
607,496,452,503,551,127,920,179,404,533,603,743,919,286,731,820,402,875,072,
406,688,012,562,205,740,393,225,919,328,414,374,116,332,479,709,057,598,099,
440,641,457,059,567,729,124,622,613,196,279,512,073,526,197,875,378,247,961,
906,038,357,074,137,909,718,844,985,351,571,107,013,385,005,531,630,321,400,
155,510,709,884,458,855,548,505,307,373,555,382,198,705,285,971,135,108,956,
800,313,343,626,571,280,678,060,262,013,449,618,037,473,173,504,465,562,335,
616,003,753,404,715,575,866,684,713,285,438,839,389,905,885,107,915,536,701,
383,496,976,447,535,730,495,434,002,461,845,212,146,075,243,026,895,861,865,
670,549,288,001,996,066,046,042,736,326,778,757,203,483,548,886,236,001,597,
276,515,406,698,074,411,140,887,427,902,040,666,660,420,871,033,855,550,034,
443,440,357,893,019,902,262,194,579,853,195,508,686,371,983,946,519,083,577,
656,295,060,771,692,170,492,760,981,593,330,863,382,417,735,790,035,294,022,
911,353,605,974,527,935,070,917,835,137,131,674,379,741,637,591,213,075,991,
610,553,207,731,846,592,205,139,402,163,376,467,184,379,240,901,077,540,393,
969,893,527,461,900,802,039,239,199,740,646,055,870,228,053,150,452,724,144,
481,808,258,427,463,141,853,126,429,470,670,925,518,148,346,016,075,023,775,
710,444,553,002,853,021,918,964,165,914,959,224,678,760,617,170,988,030,999,
234,998,758,743,159,666,672,459,911,345,511,138,507,497,553,428,744,219,184,
074,504,025,793,652,145,014,862,310,373,163,285,261,173,080,993,467,294,148,
119,534,185,136,455,017,163,063,668,977,622,367,086,644,458,324,242,673,674,
582,998,569,208,012,694,186,166,017,934,125,481,990,915,615,106,477,524,316,
558,883,101,348,361,977,182,505,258,689,305,831,140,809,496,386,435,354,742,
331,389,184,771,354,908,930,498,123,472,067,976,050,233,186,593,742,050,077,
109,079,369,291,329,183,733,559,627,405,747,098,663,862,607,361,780,946,613,
961,289,695,961,735,455,235,272,944,234,082,343,165,108,822,820,683,758,397,
657,794,300,743,403,471,691,888,002,469,307,855,384,116,843,919,591,273,855,
308,205,774,781,729,156,236,234,668,840,846,177,386,738,691,908,012,592,694,
514,469,704,137,927,108,951,126,616,678,493,682,198,422,631,603,214,433,607,
881,603,198,433,806,219,691,224,813,049,749,356,577,104,399,999,294,101,184,
835,123,500,649,793,429,924,520,736,975,796,147,248,306,497,180,975,837,250,
107,592,977,189,881,703,601,635,691,315,498,923,681,106,001,904,921,297,004,
154,624,317,936,785,513,281,830,901,632,494,391,037,526,513,066,495,186,605,
444,299,930,797,883,806,598,904,812,504,652,914,074,921,216,776,808,372,820,
405,136,700,975,144,537,111,074,875,869,141,371,651,954,178,222,543,816,003,
514,341,942,177,363,240,488,257,516,778,885,864,223,300,327,979,965,252,841,
904,191,709,657,245,841,427,234,292,751,969,229,971,610,079,167,832,520,375,
653,989,726,817,900,090,371,319,647,428,383,586,248,611,862,382,317,846,058,
199,998,897,588,033,163,398,973,635,297,167,557,589,647,031,163,678,899,617,
212,231,502,783,825,533,205,561,420,269,565,930,250,575,859,880,798,197,405,
154,514,123,544,667,155,001,175,743,679,182,533,249,378,859,345,787,000,920,
310,638,733,371,003,757,504,053,266,501,451,865,554,330,645,101,795,040,296,
862,734,579,017,469,916,450,053,985,295,071,041,696,539,350,764,592,328,584,
549,771,194,875,145,900,147,250,381,049,277,449,601,119,870,186,589,436,667,
048,912,373,802,560,531,117,602,806,327,026,660,816,855,597,306,191,523,146,
270,545,794,314,244,183,865,755,724,332,104,022,472,593,688,424,637,860,215,
765,671,037,645,444,261,676,708,541,301,999,901,720,742,076,637,531,796,340,
047,180,365,271,155,693,890,654,428,807,226,439,276,826,849,997,951,483,735,
960,258,667,017,786,822,212,444,321,315,584,799,088,993,060,792,911,913,070,
806,744,985,689,675,206,862,114,599,161,628,998,722,604,384,198,096,132,241,
193,170,297,523,116,423,187,653,231,406,019,242,518,519,455,640,209,807,919,
802,365,327,567,536,420,855,039,218,633,076,180,280,895,502,028,948,458,010,
381,371,077,572,196,299,397,678,718,795,312,061,286,636,240,788,476,733,720,
664,202,339,665,929,737,431,082,801,985,545,418,718,950,189,682,930,819,894,
816,122,498,754,906,468,927,526,242,705,289,843,846,404,807,873,010,897,054,
229,908,168,323,275,642,015,117,053,552,136,137,367,707,544,127,709,424,112,
542,224,287,100,211,858,916,150,401,216,259,943,315,745,656,117,791,567,166,
511,023,770,975,745,941,063,284,494,820,331,510,078,917,138,009,299,259,672,
977,406,363,503,351,957,882,589,804,080,385,718,887,040,991,671,670,125,329,
995,800,439,720,089,468,569,702,511,616,427,991,669,724,644,860,310,805,271,
409,044,012,698,409,224,949,891,734,765,467,829,495,187,657,098,841,612,986,
056,116,508,385,954,549,227,410,432,232,098,624,234,640,725,590,453,658,331,
382,266,068,739,318,446,689,219,088,004,922,323,116,444,482,574,406,714,324,
865,593,942,195,976,850,574,287,584,038,968,448,956,394,725,208,406,243,619,
681,494,187,569,495,168,790,895,679,550,972,128,492,661,623,525,197,951,261,
722,922,177,456,594,319,261,652,906,248,541,829,213,619,659,905,997,634,426,
755,877,026,397,359,544,516,426,633,008,644,475,668,234,326,722,839,548,977,
199,177,941,514,962,324,654,018,811,457,654,400,941,471,635,651,271,399,919,
271,997,864,864,443,871,631,197,097,342,538,952,344,330,616,556,794,497,711,
309,600,057,889,070,634,087,225,238,758,419,382,495,035,384,214,454,650,720,
777,782,157,464,382,309,434,772,708,068,827,937,828,400,983,106,963,000,968,
392,289,010,250,287,668,362,739,143,642,000,116,405,833,692,944,893,492,695,
384,435,566,849,428,769,418,773,596,774,192,982,150,725,967,727,165,549,014,
125,366,211,906,798,743,574,043,160,819,649,961,123,160,534,775,106,240,659,
210,836,315,967,043,377,170,239,758,185,007,751,547,160,502,931,914,321,751,
554,560,394,291,475,671,697,647,659,191,453,201,906,136,349,143,806,161,484,
494,781,285,522,945,364,033,122,739,355,785,605,971,579,575,313,011,278,867,
951,286,993,726,926,396,733,442,552,235,248,690,753,409,108,952,176,886,969,
958,769,277,953,917,533,434,029,749,969,507,746,179,533,173,844,867,749,731,
300,375,802,558,767,817,194,397,192,207,904,723,091,449,696,668,715,646,636,
720,687,457,327,152,735,167,179,068,493,953,106,861,891,582,880,756,813,891,
139,399,630,957,524,477,003,148,528,773,212,555,130,381,673,745,391,446,379,
621,138,191,267,798,676,780,910,687,288,506,930,715,026,491,265,985,571,960,
171,297,103,208,081,376,309,313,647,661,435,557,989,538,924,247,051,848,240,
847,392,587,133,869,712,817,362,523,966,854,347,898,734,519,814,924,083,260,
905,701,969,523,251,000,323,487,139,597,005,091,882,522,087,352,805,686,992,
509,069,515,691,064,795,382,144,400,128,860,043,357,689,427,484,308,021,927,
672,658,345,895,870,798,162,722,530,301,360,056,821,549,987,790,688,055,795,
706,282,237,873,695,331,508,559,466,096,715,173,098,174,238,704,628,524,496,
920,445,668,268,106,257,867,991,055,711,517,850,125,821,564,660,971,346,455,
493,594,158,603,166,103,768,060,514,571,844,648,323,464,965,865,996,245,900,
327,308,013,758,668,702,494,651,078,875,907,378,417,633,441,888,312,339,143,
779,099,922,072,241,030,467,642,256,120,845,672,512,621,585,588,657,181,126,
392,180,578,890,702,180,271,615,924,433,563,986,293,382,321,331,093,918,222,
321,366,648,060,407,789,840,738,171,764,151,830,004,304,366,145,341,099,090,
421,170,704,894,020,741,298,505,522,933,401,520,963,206,650,508,381,213,190,
477,886,029,722,666,990,391,223,731,502,966,430,357,413,772,966,030,224,525,
552,555,340,992,769,380,717,750,133,871,471,254,243,381,045,478,302,647,032,
580,945,386,272,482,808,397,195,935,922,941,407,583,800,323,787,535,514,790,
714,737,055,453,998,451,999,384,960,104,889,758,324,733,453,661,822,793,287,
569,998,952,422,595,358,227,876,589,338,802,613,522,211,919,883,673,424,380,
693,957,623,023,566,498,221,752,179,658,232,883,265,562,428,756,730,213,237,
715,207,804,626,584,425,471,385,701,642,068,927,619,358,981,384,258,976,766,
580,059,551,607,206,273,818,101,465,041,672,470,070,616,176,908,475,677,564,
996,496,069,851,136,715,175,661,556,199,851,722,695,859,496,286,300,977,743,
695,657,234,114,253,053,433,480,703,007,499,762,389,624,308,934,743,305,700,
976,037,226,260,108,690,998,676,461,254,793,732,531,292,374,881,808,365,031,
269,376,605,921,501,469,903,565,841,036,905,155,086,023,915,674,712,904,075,
739,834,966,141,455,561,261,041,661,344,824,087,800,014,973,419,092,623,954,
335,716,755,769,981,353,653,225,614,310,916,329,668,488,041,945,260,227,140,
702,396,261,920,553,556,167,715,286,650,797,514,898,324,063,365,983,316,193,
746,294,734,045,600,587,235,710,375,884,139,776,145,647,807,837,809,489,586,
411,199,840,622,944,134,671,985,544,382,027,784,920,622,960,520,719,584,077,
774,903,208,832,109,095,817,309,453,241,375,870,794,201,498,113,990,932,198,
060,892,585,849,490,357,356,160,016,138,672,589,383,870,138,815,170,095,763,
431,371,698,948,269,733,495,374,942,681,706,772,369,621,065,766,109,675,006,
778,487,251,169,515,334,364,217,348,096,848,511,390,140,937,561,218,573,749,
048,817,056,860,699,093,905,464,805,372,231,445,127,537,834,735,884,391,822,
812,833,884,862,407,214,312,530,113,060,491,684,912,216,014,961,477,534,479,
962,327,849,908,831,830,951,951,724,178,290,061,514,223,224,009,329,378,218,
665,163,324,339,421,152,555,457,818,775,956,504,047,430,793,365,052,164,497,
671,614,148,207,236,594,414,866,146,408,464,712,618,236,547,208,743,209,991,
570,522,791,469,083,135,934,879,054,999,508,308,049,677,569,216,874,542,811,
494,645,790,744,790,789,820,760,866,129,017,007,360,918,003,251,160,637,108,
767,435,397,974,989,879,765,046,058,877,195,409,677,846,034,033,718,755,189,
505,750,732,217,108,353,511,998,568,199,643,324,343,864,329,014,323,911,436,
146,896,669,633,458,983,106,899,809,113,263,534,498,954,156,639,792,355,883,
313,121,824,154,629,899,185,193,606,918,487,753,411,337,942,146,683,599,014,
156,103,041,783,460,797,649,564,899,512,773,400,581,974,345,120,135,003,673,
618,336,351,507,032,470,240,539,665,298,211,543,622,942,248,254,359,421,611,
623,656,916,968,850,432,112,405,280,009,985,909,654,555,649,853,109,357,723,
967,425,993,419,725,134,020,165,627,316,322,601,251,499,886,911,682,923,934,
988,321,976,893,117,751,950,526,821,764,461,945,875,499,947,999,055,615,621,
783,154,512,414,273,712,313,884,052,088,395,086,076,160,337,852,443,442,947,
178,630,720,484,568,306,919,344,750,088,316,746,876,260,794,238,369,443,878,
876,764,547,427,269,803,981,714,102,841,931,469,866,254,689,998,139,043,372,
955,799,509,199,231,887,957,996,595,604,839,514,583,705,271,541,505,534,118,
905,742,322,590,887,323,076,210,394,160,199,798,482,840,332,393,157,663,651,
534,347,115,885,786,390,480,850,717,377,548,122,353,682,726,495,088,353,001,
392,038,153,893,058,001,290,128,650,427,935,592,002,816,834,698,339,074,778,
439,519,852,373,027,476,664,449,043,077,960,750,217,281,746,699,579,170,212,
384,243,469,319,811,555,773,863,493,379,414,747,724,520,788,921,253,683,360,
691,564,050,002,692,691,572,427,195,795,010,017,899,367,786,631,684,582,824,
760,929,750,582,413,524,545,936,937,425,780,566,046,429,524,519,086,512,445,
022,558,444,560,611,136,841,325,850,345,368,829,440,586,095,685,625,419,349,
274,668,247,586,246,234,561,380,690,997,665,431,486,922,721,142,281,052,385,
747,352,307,786,864,885,532,159,498,067,569,245,096,059,181,808,712,082,272,
026,360,157,656,611,134,039,578,720,286,426,154,956,364,925,627,573,646,281,
079,925,129,312,716,341,605,360,733,638,904,154,119,938,845,982,321,427,870,
485,357,639,379,318,069,297,562,593,868,267,290,794,710,042,398,129,185,266,
568,594,656,020,459,261,587,969,021,196,924,309,679,499,622,009,896,100,519,
539,619,784,153,373,670,976,049,825,738,084,097,894,879,050,651,411,971,164,
193,214,154,413,241,940,022,722,716,709,714,462,768,956,879,919,455,620,402,
629,350,101,299,702,949,128,838,603,289,509,308,283,547,616,173,652,088,114,
171,128,071,026,543,929,748,841,554,296,441,695,401,334,066,895,882,380,038,
953,865,556,848,591,755,092,505,014,120,565,442,710,777,473,192,175,017,331,
336,097,466,407,077,442,376,778,065,444,917,332,378,572,311,113,351,695,922,
506,791,547,188,886,242,865,826,472,158,401,545,778,218,687,192,611,943,819,
719,579,114,840,424,554,317,715,796,041,374,026,936,974,108,932,958,206,915,
778,380,888,846,660,530,236,579,447,105,055,073,434,521,232,391,873,337,651,
568,681,488,351,956,625,082,167,330,056,259,420,641,449,333,321,386,678,703,
598,806,560,723,947,607,090,693,427,489,551,558,184,576,687,361,535,924,955,
482,385,635,592,264,372,682,454,757,528,565,601,520,317,387,432,527,173,398,
320,216,615,165,327,670,269,998,743,728,646,865,807,140,827,201,922,177,899,
641,265,160,188,262,522,986,757,391,813,825,661,611,526,392,137,313,872,666,
627,613,920,625,602,434,083,561,727,958,427,521,536,908,045,600,092,270,707,
055,174,090,448,611,442,771,070,042,537,661,860,763,763,970,513,492,030,566,
792,358,262,044,574,284,762,437,637,303,260,944,614,785,624,966,208,677,470,
003,979,949,066,394,909,687,380,292,383,520,705,407,538,320,353,317,872,420,
844,942,678,114,144,679,746,053,632,292,409,756,866,207,150,042,981,460,320,
760,451,656,975,466,422,893,624,951,581,867,007,672,104,520,668,932,812,084,
598,751,666,757,937,921,055,756,115,361,626,508,046,411,023,539,733,297,297,
408,446,111,301,037,689,332,490,686,366,830,176,044,212,518,631,701,880,821,
434,106,227,274,690,393,145,098,113,775,579,069,132,339,592,222,051,772,330,
417,168,553,807,497,510,801,901,605,591,630,652,351,424,983,070,749,498,141,
886,131,368,652,797,458,625,020,229,227,290,712,931,373,136,318,138,436,381,
598,052,700,595,371,379,020,811,423,912,473,691,934,108,222,886,579,845,709,
843,796,423,628,374,743,098,235,579,121,782,178,425,394,610,888,255,874,161,
832,931,055,839,346,190,371,527,326,035,982,732,383,041,424,573,617,987,874,
945,505,192,165,589,890,579,665,342,647,962,078,442,000,613,427,379,244,269,
848,206,098,706,298,200,045,533,917,152,358,297,772,327,801,535,847,663,610,
030,806,493,325,530,378,702,164,397,336,219,316,266,657,269,536,738,050,067,
813,271,463,470,884,953,869,334,940,435,752,191,811,163,960,254,229,666,038,
394,178,319,569,461,599,464,764,782,598,403,019,578,097,742,265,303,055,259,
374,017,919,927,863,913,808,516,824,866,070,008,490,166,359,527,247,691,437,
309,111,104,491,275,696,165,990,965,287,493,921,455,650,634,749,759,142,420,
055,202,647,387,476,231,046,514,391,299,798,167,706,347,827,692,474,516,790,
606,993,812,727,204,585,749,883,298,123,595,299,885,283,108,489,488,301,578,
233,290,778,601,497,345,190,772,791,778,023,402,967,125,806,180,319,070,993,
696,776,138,621,740,965,628,682,894,476,894,283,198,555,985,802,042,561,190,
264,838,361,821,347,624,973,602,541,891,668,394,368,911,351,484,554,643,861,
414,105,791,179,189,084,949,112,103,818,444,906,361,766,308,127,790,502,532,
568,728,926,625,829,964,513,848,384,585,327,867,801,132,015,286,733,342,061,
116,766,744,618,113,366,063,645,986,518,212,359,169,791,527,712,010,134,391,
259,103,414,483,279,488,962,622,713,323,012,358,698,851,291,615,335,870,391,
018,745,933,233,986,487,852,875,489,728,822,794,820,443,610,729,106,830,115,
375,904,416,152,942,789,380,956,308,869,690,161,006,297,688,029,968,301,899,
473,477,542,272,995,180,594,945,760,751,735,214,114,409,409,100,105,136,883,
035,815,632,041,934,809,295,320,920,181,549,321,581,468,580,192,228,350,422,
109,136,054,329,070,234,005,161,552,094,015,956,677,290,106,222,334,359,083,
453,886,600,756,971,152,824,389,445,845,389,572,478,847,533,247,272,478,079,
400,345,169,520,470,417,548,470,453,274,983,025,669,668,159,872,081,812,645,
864,543,138,674,493,270,061,215,635,573,016,092,680,855,207,618,773,822,350,
329,903,973,823,048,132,473,026,659,369,594,892,318,516,213,723,619,979,469,
740,965,977,352,513,173,837,085,895,577,994,518,004,856,518,780,183,445,023,
018,886,849,741,597,156,029,528,688,270,715,697,930,325,413,044,892,090,807,
198,600,977,428,952,456,780,617,142,356,282,511,837,955,782,493,584,488,005,
899,501,880,983,680,200,869,535,318,466,494,187,865,685,223,756,335,409,049,
181,556,832,409,469,456,168,454,222,853,922,490,658,755,058,586,685,702,356,
881,122,394,373,831,696,419,516,356,965,868,871,052,260,779,267,286,425,991,
767,005,099,165,495,827,838,426,027,005,878,791,963,340,351,618,201,825,648,
524,323,225,781,692,241,026,481,997,431,544,029,981,587,573,020,245,341,842,
263,465,757,268,020,809,321,231,434,941,396,230,121,296,969,747,527,662,318,
958,555,386,929,826,943,475,488,628,536,410,116,328,443,845,043,250,999,670,
066,338,049,772,476,833,496,260,065,055,125,919,161,752,305,776,759,832,132,
227,113,377,519,513,709,274,322,227,195,061,826,313,562,318,602,055,005,199,
922,602,853,243,536,929,098,712,469,627,920,004,113,665,536,825,432,214,265,
339,166,550,352,688,091,356,599,599,683,582,247,414,597,464,718,016,483,103,
211,363,737,222,901,277,335,309,985,415,834,404,926,018,256,925,720,190,460,
933,875,886,522,258,107,552,176,963,908,607,472,151,066,395,440,748,090,085,
725,301,314,109,112,380,049,504,497,094,718,039,602,809,712,902,360,651,926,
549,498,470,729,490,598,219,685,157,760,211,582,330,796,413,241,386,846,625,
737,650,904,261,637,997,592,483,665,852,045,179,927,235,561,135,848,943,160,
844,168,695,773,089,430,802,511,715,662,806,320,849,146,490,608,276,762,356,
317,394,557,269,837,197,273,309,511,526,580,817,742,476,688,152,113,748,295,
812,460,674,214,948,812,701,267,031,183,056,675,035,921,940,606,564,660,677,
854,427,702,200,466,314,875,105,675,573,669,340,618,574,625,010,012,359,151,
269,071,934,915,581,728,868,227,826,961,228,708,658,591,114,948,378,353,003,
532,637,066,927,829,732,759,150,514,523,105,959,423,508,849,063,969,051,859,
050,682,866,786,739,441,099,562,093,620,600,102,508,727,313,784,680,768,736,
848,449,814,581,592,868,134,006,960,377,840,976,061,510,190,968,220,715,197,
107,645,774,305,615,799,423,058,568,438,955,910,121,427,091,042,246,620,103,
775,372,106,736,602,582,727,233,128,778,439,845,823,184,167,388,965,396,894,
723,279,064,734,507,689,287,316,579,865,015,304,546,080,374,764,042,907,689,
125,150,220,994,849,986,170,111,846,134,275,700,110,901,205,218,595,390,590,
824,262,181,033,387,893,668,252,207,305,592,089,636,610,174,057,158,057,851,
338,715,193,807,988,573,983,964,864,722,640,160,051,407,859,935,138,417,791,
775,410,612,522,653,220,388,976,646,831,280,834,150,860,035,727,497,162,534,
202,348,850,357,021,964,624,616,419,385,740,811,015,924,287,619,711,521,428,
765,490,797,229,874,685,535,348,697,912,994,245,664,245,591,789,726,714,425,
257,719,448,793,575,303,430,532,640,585,618,835,793,501,591,038,500,175,504,
794,971,618,443,356,314,895,261,558,816,118,985,350,941,249,684,027,808,092,
856,625,287,106,862,204,974,513,373,011,906,537,550,752,560,941,271,700,484,
667,120,871,414,796,648,998,599,831,047,419,045,902,071,710,186,752,662,318,
251,888,062,636,430,168,862,337,388,308,101,140,373,580,753,507,276,156,205,
055,037,186,085,012,200,062,993,982,362,480,402,046,521,726,112,957,840,561,
176,546,946,560,411,974,435,316,484,329,920,424,497,363,511,759,897,778,988,
600,117,487,256,018,185,331,404,851,951,148,168,905,561,760,507,197,105,259,
548,868,291,819,585,482,496,273,271,679,113,505,000,362,186,387,445,359,889,
322,659,019,174,350,829,473,650,930,721,187,898,821,224,567,953,794,353,125,
685,868,404,616,012,974,735,189,758,023,938,113,716,815,545,677,770,647,405,
063,068,221,827,310,230,515,409,386,321,861,383,851,672,216,168,930,928,199,
595,749,462,184,283,904,252,414,193,891,712,686,266,442,058,508,561,406,230,
666,363,775,704,179,079,750,067,070,809,540,365,315,169,034,752,293,985,001,
545,142,033,516,771,952,792,794,348,378,041,111,870,425,112,928,770,340,552,
151,287,243,419,976,541,606,047,963,378,528,340,161,790,807,303,620,902,598,
526,079,702,396,747,645,752,043,442,750,417,886,556,718,385,774,796,655,320,
618,941,784,733,745,732,517,876,654,066,869,673,195,797,041,127,459,200,845,
558,068,456,055,329,422,769,844,505,004,775,481,253,539,042,764,731,898,018,
799,172,791,362,697,146,972,137,127,304,389,121,536,280,445,161,855,156,233,
477,038,836,595,331,741,647,693,447,380,415,844,745,124,524,422,468,267,660,
301,521,783,965,176,199,291,985,532,570,548,830,476,480,626,869,077,370,823,
317,796,293,791,380,564,888,458,870,415,487,306,224,322,521,593,464,942,703,
126,089,254,828,001,258,946,709,652,415,499,780,557,080,925,135,353,256,584,
387,766,094,076,004,683,184,274,182,710,473,209,961,019,178,997,157,874,710,
454,914,165,347,963,244,878,074,317,986,915,579,592,212,986,348,626,125,186,
751,469,659,561,808,003,079,584,533,803,722,431,254,882,015,109,166,252,676,
706,899,352,204,526,410,830,888,070,995,404,492,428,639,249,880,669,479,949,
838,054,981,099,002,283,439,627,086,543,464,075,953,708,294,646,030,901,149,
237,164,757,256,443,189,521,540,829,333,903,104,201,815,149,384,315,299,015,
136,480,928,664,322,697,187,792,972,792,306,286,892,803,137,118,870,684,676,
462,597,203,864,342,504,108,605,574,336,217,758,697,412,816,369,443,713,045,
295,160,523,601,520,123,675,179,913,344,722,420,847,787,538,358,671,291,835,
171,157,252,532,280,821,680,214,965,070,254,752,056,586,488,205,813,555,547,
812,982,700,527,352,964,994,751,981,190,702,367,031,392,036,419,946,522,975,
118,134,848,868,579,839,002,347,858,569,057,320,812,929,617,128,537,174,921,
781,394,036,229,165,234,401,662,941,735,136,067,634,630,538,790,865,873,841,
637,921,232,183,920,187,958,490,972,165,797,057,193,617,812,307,207,684,267,
005,019,452,906,067,932,844,801,152,679,799,751,550,560,940,223,948,052,437,
289,167,137,869,767,147,694,925,925,970,916,021,328,166,883,915,078,871,123,
648,253,324,181,026,165,175,008,987,619,631,918,007,911,096,755,392,770,565,
297,686,313,724,604,988,636,670,725,449,680,237,929,455,686,315,583,407,074,
351,779,837,025,889,594,708,399,990,197,588,035,199,913,526,895,879,498,788,
753,390,163,012,344,265,363,252,288,045,064,193,688,964,103,975,536,606,338,
548,339,085,669,627,653,709,840,675,401,540,439,267,198,828,310,060,621,364,
253,458,824,693,277,092,312,847,964,695,728,728,909,991,352,919,598,642,077,
389,667,273,517,925,938,057,233,275,682,038,490,269,961,367,547,296,416,165,
308,174,163,059,221,551,596,814,185,168,102,130,434,564,379,121,206,803,572,
862,606,026,066,981,419,000,640,298,952,861,710,503,639,910,230,681,098,513,
834,016,417,812,381,088,581,693,854,115,557,651,371,069,061,363,817,479,326,
974,438,541,094,896,048,057,585,527,940,044,339,958,404,226,456,036,818,887,
127,172,918,932,010,487,361,424,813,577,637,846,818,595,898,393,311,361,224,
283,969,486,315,280,489,579,288,320,510,231,961,516,085,446,005,760,050,022,
264,119,155,523,906,671,624,254,245,787,957,831,595,226,012,240,710,173,949,
090,887,281,954,779,000,575,126,899,975,240,566,222,448,775,788,776,280,053,
126,430,087,949,915,915,330,863,087,588,308,178,274,247,872,045,392,989,246,
552,590,193,672,384,140,069,179,058,453,103,715,017,323,565,725,165,870,368,
105,307,213,744,671,390,540,737,688,557,571,533,594,286,084,402,065,587,491,
109,369,773,550,186,295,760,833,753,175,913,227,341,682,309,996,222,701,964,
577,235,638,116,453,270,332,154,186,328,260,863,897,587,070,346,408,227,505,
832,228,489,268,654,309,249,866,365,216,082,040,350,546,001,884,067,182,327,
976,483,368,015,708,247,539,486,933,031,555,539,359,356,660,299,349,336,885,
239,188,478,714,563,368,613,448,212,231,980,630,418,370,075,142,819,132,282,
175,899,533,122,703,218,678,287,347,406,709,627,138,819,442,803,375,010,299,
881,907,750,470,741,268,547,986,393,376,793,070,122,842,089,303,660,040,717,
383,026,808,896,761,898,089,262,908,617,161,553,575,160,453,825,402,672,171,
218,050,944,192,856,702,668,340,536,038,665,746,346,556,989,139,157,484,012,
857,675,627,194,142,045,703,083,248,046,581,515,973,262,145,845,659,877,654,
771,978,731,146,505,115,084,460,203,951,130,965,978,108,445,593,897,550,559,
075,378,150,622,223,255,683,585,446,093,560,542,413,427,499,814,866,177,826,
823,047,650,402,962,890,438,326,967,704,781,339,566,465,836,553,499,391,011,
642,628,899,602,728,836,270,180,787,779,314,823,697,817,686,571,651,700,324,
882,919,158,944,307,789,742,062,780,317,772,052,773,290,800,821,770,096,718,
050,235,226,566,039,722,314,363,573,644,715,209,943,367,950,153,476,998,217,
609,164,058,612,959,430,707,661,642,214,048,834,788,407,779,923,156,304,601,
366,954,438,688,097,409,251,592,280,226,735,774,940,499,045,466,970,100,080,
332,216,978,873,555,671,682,140,833,968,278,387,885,008,636,923,303,876,111,
993,333,516,023,534,575,472,386,653,119,117,127,811,032,177,265,580,539,987,
090,928,751,098,217,984,353,315,798,006,557,370,964,342,265,575,048,180,954,
866,215,382,113,075,382,393,548,562,080,369,092,922,190,648,221,082,437,431,
413,176,978,385,564,492,480,743,026,587,967,005,191,695,263,682,466,216,475,
426,812,963,268,961,440,556,429,028,318,336,198,999,547,203,800,705,107,182,
665,602,387,700,857,203,875,482,640,794,072,198,411,296,032,958,770,123,914,
607,099,209,139,942,268,366,792,895,263,071,413,818,284,910,172,706,968,523,
689,938,544,761,378,942,031,231,471,590,953,950,852,843,328,709,364,990,334,
615,098,838,921,886,129,622,099,638,245,465,362,843,956,293,155,611,134,160,
900,066,426,052,822,355,128,355,008,830,799,570,604,831,174,693,253,876,378,
704,922,054,952,659,023,198,820,385,958,134,270,843,820,051,492,435,014,151,
166,361,208,896,431,098,698,702,576,860,420,479,729,193,096,575,693,894,881,
365,649,836,435,530,655,188,482,707,296,763,577,533,750,759,712,270,009,201,
461,205,256,750,402,977,371,623,168,764,890,905,538,267,942,026,404,896,808,
892,542,017,826,399,425,719,745,817,462,708,799,028,982,496,436,103,136,686,
908,313,389,665,500,194,755,184,695,043,977,937,430,239,767,439,108,960,048,
844,791,589,556,191,512,255,932,919,436,911,482,607,507,797,943,620,448,123,
416,910,642,030,708,578,327,355,953,295,795,015,230,065,303,391,019,971,637,
156,590,693,587,400,413,962,123,089,368,912,321,387,053,856,623,084,092,472,
719,160,114,548,235,166,018,843,122,725,297,038,953,843,479,671,426,463,668,
492,825,800,103,337,690,103,200,887,696,529,105,728,658,758,678,124,793,265,
239,523,436,721,910,826,193,372,463,245,577,444,734,323,131,909,573,079,404,
990,779,820,588,168,462,193,905,200,186,648,643,331,785,665,812,820,224,275,
930,391,488,613,468,660,548,701,866,520,798,704,119,623,330,496,041,498,653,
607,706,245,975,013,039,068,189,048,160,582,967,060,440,470,426,719,274,043,
219,397,384,364,487,336,836,016,308,286,230,216,463,946,713,078,207,868,956,
052,283,044,539,525,318,285,658,440,690,351,979,677,382,634,321,935,903,896,
008,821,181,357,616,589,385,590,439,732,579,244,697,870,445,404,079,359,794,
647,212,898,717,753,994,587,895,916,085,388,600,610,723,221,391,962,226,794,
228,709,271,236,367,031,037,493,588,738,056,452,031,287,280,080,080,669,506,
299,606,937,591,756,502,991,857,045,203,152,864,025,327,031,599,626,870,725,
528,499,803,797,165,238,827,436,850,660,243,136,832,325,933,063,254,777,319,
034,485,679,927,540,147,657,464,798,067,854,326,195,079,693,260,223,133,124,
301,391,706,637,318,253,749,510,027,963,432,143,986,551,829,022,157,641,948,
683,375,940,992,412,953,708,524,482,896,565,474,082,769,700,409,797,258,337,
177,369,083,469,902,284,270,420,245,063,203,218,974,091,832,874,829,950,152,
938,074,516,383,946,151,019,731,013,613,826,305,345,333,747,114,710,831,958,
292,420,383,437,070,814,665,885,649,015,026,780,337,209,733,320,025,839,480,
206,546,279,696,128,260,143,312,057,312,927,230,308,290,304,700,579,628,526,
365,400,171,421,037,777,935,727,765,209,164,902,577,345,940,362,046,638,496,
544,601,222,434,685,920,048,754,684,486,435,038,446,590,946,740,767,541,106,
787,104,881,477,146,408,822,566,506,635,965,808,364,188,323,544,740,384,733,
508,004,377,395,216,571,163,502,439,053,331,178,800,377,508,956,031,557,198,
892,397,919,977,744,549,074,341,767,821,794,748,499,195,156,385,834,572,742,
244,124,673,561,884,422,741,853,363,577,806,954,542,069,041,122,357,337,716,
592,789,402,879,799,997,243,430,659,575,052,932,442,540,750,574,555,763,568,
797,145,846,771,400,147,038,203,876,810,244,019,071,453,261,680,731,148,194,
627,455,853,595,145,371,041,160,584,570,892,080,711,332,044,355,540,637,449,
959,960,941,890,433,402,549,064,280,261,659,078,329,724,352,491,168,233,007,
910,615,546,679,576,650,404,469,790,661,612,252,962,928,945,819,629,868,121,
191,001,395,480,770,852,909,031,625,804,557,549,766,664,747,871,090,217,302,
974,758,503,328,694,410,548,619,528,420,180,248,084,234,512,747,480,348,443,
697,179,005,911,865,436,487,997,462,928,713,782,516,004,533,043,304,453,659,
470,609,108,131,135,035,589,123,218,187,678,495,190,105,163,893,141,168,186,
554,369,260,382,681,575,524,789,379,514,124,349,649,225,976,266,550,832,240,
403,503,647,628,070,315,607,214,991,712,601,150,792,461,471,978,210,601,122,
592,827,671,004,967,584,589,236,826,894,800,460,791,533,817,210,008,704,559,
708,405,227,648,421,048,382,564,265,035,872,969,754,636,035,239,484,435,561,
826,032,949,278,636,447,948,090,101,471,943,173,101,653,146,255,079,945,552,
138,592,128,967,670,807,540,867,018,148,420,983,924,207,319,842,933,565,444,
233,856,356,460,160,816,825,032,707,779,436,389,896,983,944,560,502,447,972,
018,271,236,613,452,218,473,975,428,796,623,410,861,607,400,848,816,035,081,
682,815,070,046,488,330,390,193,447,167,586,043,462,844,768,723,500,349,539,
755,480,490,806,413,590,654,764,564,338,705,658,220,917,218,336,234,364,411,
298,301,162,544,616,751,809,763,588,211,290,901,132,179,985,140,277,833,801,
541,920,814,003,625,572,246,625,458,344,406,063,598,842,020,946,240,189,341,
795,210,032,484,482,617,828,054,512,473,392,055,426,400,692,114,967,364,797,
250,182,917,616,753,426,854,799,170,644,368,428,745,990,847,823,079,368,181,
971,982,360,314,722,463,748,675,103,753,427,812,337,355,906,089,220,804,025,
066,088,906,008,193,637,763,919,917,882,514,578,948,859,001,824,873,793,821,
299,760,854,709,153,213,781,083,076,929,891,388,164,120,767,728,286,061,407,
802,137,056,488,131,988,922,149,089,885,892,231,383,606,984,525,055,178,484,
665,903,574,578,249,583,712,979,748,155,850,314,666,991,181,038,340,655,311,
287,064,035,451,517,389,125,686,575,207,623,447,051,154,996,963,496,220,563,
941,028,223,620,185,686,157,609,298,799,448,789,322,880,259,442,541,521,507,
561,238,473,239,408,137,939,567,166,610,058,127,217,854,047,687,327,813,583,
357,349,111,850,701,411,079,623,687,466,764,160,990,458,951,890,850,486,833,
749,547,125,284,069,897,906,087,111,419,286,210,871,638,974,295,047,446,306,
839,757,674,545,751,640,122,557,409,556,690,271,000,997,901,593,736,219,584,
660,291,391,886,180,899,179,882,451,418,580,463,776,320,443,762,973,037,218,
718,988,026,449,029,863,711,793,006,492,365,648,571,671,982,627,106,351,320,
612,324,751,639,316,964,000,560,433,169,697,029,378,463,219,615,244,833,918,
988,812,896,193,086,160,033,686,996,851,664,170,863,279,180,777,460,282,022,
342,131,086,759,075,845,570,340,406,597,727,421,874,487,984,323,849,301,531,
993,304,922,656,344,844,549,443,676,101,091,134,610,512,672,008,927,142,570,
196,769,485,650,125,203,522,798,152,079,872,297,899,376,511,506,612,032,692,
727,916,502,183,212,991,062,279,299,386,371,542,170,372,098,590,691,518,249,
744,949,034,695,434,703,262,945,020,548,245,075,112,379,034,854,970,644,322,
488,170,939,890,880,625,184,447,420,074,863,482,291,461,416,439,655,639,289,
851,238,755,676,942,220,274,137,808,692,487,530,148,240,178,489,766,716,366,
524,870,490,894,291,509,299,007,372,953,222,950,843,498,075,666,566,555,901,
472,558,602,279,855,682,355,874,631,615,809,692,409,311,797,302,230,302,646,
751,410,639,658,957,183,779,930,480,454,339,869,302,766,253,288,635,640,745,
721,888,088,541,497,413,247,150,279,987,249,711,505,558,930,856,972,784,492,
892,881,596,065,917,312,529,045,899,252,246,542,734,624,707,723,481,849,918,
361,816,974,056,234,601,771,011,642,741,138,524,591,423,126,791,559,744,159,
492,915,867,399,434,093,402,140,814,788,799,245,145,647,127,479,807,235,621,
431,872,138,960,240,631,421,624,700,924,265,288,043,158,661,865,956,186,285,
269,280,037,258,579,374,600,053,686,688,582,571,390,720,050,673,236,596,327,
380,615,370,451,748,295,531,875,722,449,977,773,125,122,468,807,415,118,573,
916,288,969,756,949,495,077,569,731,091,678,285,084,028,885,368,958,316,459,
770,600,347,648,501,948,193,715,324,980,105,899,768,210,549,754,450,814,840,
806,168,654,543,697,453,030,602,694,540,811,030,075,176,138,771,942,263,951,
339,987,433,140,565,670,330,805,395,820,377,348,154,230,579,782,920,681,707,
453,886,418,358,415,277,990,512,855,007,411,773,375,738,526,630,061,368,518,
349,850,042,811,290,848,531,652,789,882,115,650,619,264,118,620,402,861,080,
840,212,444,981,541,829,217,136,675,660,982,282,164,337,438,736,591,150,179,
188,259,696,496,905,144,897,421,906,723,465,185,752,022,738,808,259,284,747,
860,412,664,488,652,091,508,322,595,763,594,837,530,546,662,598,055,071,358,
775,906,852,397,271,318,459,067,930,495,329,151,039,678,856,401,111,310,585,
598,519,149,060,709,657,173,080,452,916,078,717,421,172,542,203,432,919,278,
942,124,472,939,076,789,265,682,872,921,791,961,276,328,250,689,203,615,614,
034,311,247,408,769,505,810,797,021,899,567,580,345,690,038,197,064,071,401,
504,642,183,314,930,542,684,257,431,720,641,707,715,913,706,761,123,826,055,
976,898,156,782,334,677,858,402,260,550,468,196,533,442,651,480,094,602,546,
712,552,832,563,699,133,277,534,866,278,044,157,378,007,027,796,765,273,517,
044,643,684,843,194,061,463,085,111,021,451,639,411,463,495,780,291,546,856,
203,469,769,665,427,519,756,103,193,787,875,765,423,863,235,946,557,775,767,
132,853,313,126,942,344,349,543,615,995,887,242,635,112,895,357,993,753,868,
568,226,440,676,911,144,188,040,173,903,235,175,550,412,385,546,589,528,270,
717,641,886,419,402,869,989,247,483,745,619,125,962,075,997,122,669,845,607,
208,549,010,129,891,822,810,667,944,380,062,978,806,851,634,982,816,512,376,
493,469,088,182,072,512,585,688,103,389,307,158,466,878,288,462,587,524,475,
897,518,462,496,458,939,097,341,879,312,111,610,681,941,130,557,263,793,727,
367,932,779,080,916,241,424,623,008,560,175,888,550,312,368,719,298,670,466,
887,849,611,412,001,173,973,299,270,436,305,139,787,201,876,631,731,521,439,
950,692,152,156,379,601,191,183,795,046,151,946,418,892,695,102,861,973,970,
489,105,060,284,751,519,247,096,093,621,908,095,821,721,179,046,626,188,640,
649,179,616,856,077,927,424,033,434,024,614,158,637,010,149,702,002,487,584,
788,699,840,709,890,694,475,525,315,455,808,533,494,004,683,048,419,557,214,
646,074,745,162,343,211,964,904,500,000,738,678,091,686,052,173,895,456,531,
329,501,781,473,439,727,705,022,852,971,231,918,634,176,270,332,818,597,478,
650,612,568,924,318,613,169,101,817,981,300,569,184,991,952,324,751,847,366,
048,458,304,793,511,690,928,020,232,634,647,677,756,330,738,488,262,146,837,
266,583,395,242,704,347,677,799,239,168,795,295,290,926,701,254,082,333,928,
247,903,375,968,708,250,161,547,845,098,585,837,158,617,479,994,795,029,572,
237,848,225,428,697,975,843,192,156,243,765,902,247,190,240,717,730,968,756,
146,873,461,854,022,070,518,993,111,026,972,522,928,392,171,723,124,831,268,
437,608,967,568,962,840,020,538,954,893,463,183,972,829,350,367,995,086,985,
138,465,642,065,962,109,445,130,169,820,020,028,460,913,418,990,714,426,436,
248,770,851,099,912,227,799,855,678,327,786,282,349,661,405,772,217,381,182,
427,790,363,071,569,779,838,921,271,767,204,480,009,829,614,291,637,370,500,
534,127,690,484,869,645,964,512,509,179,492,877,655,299,151,406,567,309,811,
564,487,711,309,471,192,352,251,871,675,594,265,066,062,053,603,642,580,767,
978,917,798,573,922,505,866,996,608,673,167,953,138,417,669,219,921,336,647,
178,197,744,119,228,186,520,534,576,451,248,076,191,998,483,529,128,977,523,
395,328,119,493,375,430,755,003,300,701,131,745,505,022,069,655,225,607,745,
918,712,326,988,154,845,865,032,127,193,484,589,688,304,502,043,325,764,218,
901,341,385,576,605,045,235,249,760,647,087,228,739,871,195,849,434,024,955,
305,727,952,949,279,523,390,703,656,459,296,485,351,894,697,399,579,811,175,
403,578,207,482,005,306,690,142,052,095,869,617,588,127,662,427,239,215,364,
089,376,392,438,192,170,774,872,046,481,181,499,134,242,323,838,987,263,085,
750,994,683,903,721,350,089,000,162,822,272,477,225,018,145,530,094,850,899,
706,583,839,334,671,095,471,312,747,396,582,650,845,291,223,164,722,724,395,
768,031,835,237,043,348,375,243,274,937,808,880,111,536,721,447,976,412,307,
005,176,743,660,396,024,057,769,596,736,352,439,773,068,702,242,147,483,103,
459,379,576,050,788,942,565,970,238,337,907,207,160,730,441,037,413,700,528,
588,432,299,482,712,628,903,579,671,011,860,357,768,614,676,979,582,456,525,
784,706,546,075,689,905,884,485,746,214,182,361,749,809,544,340,669,299,734,
409,637,792,451,660,362,924,708,136,913,238,307,398,211,889,991,265,843,968,
091,491,308,254,520,096,228,424,140,577,554,459,560,615,315,999,028,753,063,
090,266,549,403,103,283,574,764,608,863,420,013,862,447,903,762,278,984,098,
909,992,051,436,922,537,971,190,114,618,487,863,458,723,823,670,369,732,867,
651,812,751,747,710,810,745,718,297,156,464,241,952,167,076,847,603,996,372,
437,190,665,256,812,004,020,587,961,003,015,807,737,591,569,463,125,771,406,
438,031,442,485,363,328,068,588,758,481,688,120,038,247,447,991,587,589,982,
718,981,408,196,626,098,277,581,872,539,480,391,538,453,208,259,176,951,121,
784,797,332,584,312,658,212,170,224,934,387,151,928,505,618,386,249,769,609,
098,915,717,612,710,027,928,382,025,514,744,106,658,401,181,405,292,872,621,
940,973,159,072,193,516,548,124,726,746,699,121,405,265,100,603,555,585,606,
612,102,620,946,431,565,668,826,115,961,726,425,628,018,000,308,240,879,482,
439,033,338,957,858,562,471,667,108,771,888,472,314,476,681,881,623,748,012,
271,521,107,154,596,892,484,762,607,911,835,009,219,598,253,375,664,970,705,
490,191,852,836,065,251,648,281,194,831,025,047,951,601,263,020,984,937,543,
390,349,878,178,590,537,201,111,771,408,750,859,291,739,666,695,546,075,250,
264,863,792,886,937,162,723,287,975,883,915,722,949,530,231,193,580,741,988,
769,488,924,302,274,845,097,058,776,745,516,615,475,340,072,978,610,366,456,
924,569,492,060,569,601,038,079,854,894,628,603,370,081,611,220,432,925,908,
203,601,929,138,645,988,158,102,902,476,118,111,275,197,067,124,844,637,151,
736,217,407,116,211,138,502,435,775,455,877,904,621,785,935,973,440,955,550,
842,548,211,309,841,753,731,144,160,841,549,448,765,704,775,640,256,236,753,
517,762,118,469,316,372,177,542,210,977,080,887,726,660,212,983,567,953,765,
634,878,723,173,941,048,808,064,133,843,265,665,844,130,779,877,835,297,818,
880,019,441,822,348,342,015,164,166,013,259,929,820,915,727,776,328,062,166,
268,668,885,635,976,183,505,820,481,564,312,909,255,114,620,152,931,146,516,
225,435,920,922,007,025,273,099,692,842,952,699,307,743,846,632,974,958,080,
988,042,461,843,543,169,952,136,797,872,465,532,686,870,310,162,407,530,126,
550,524,624,292,413,742,580,118,075,705,251,014,916,679,571,112,804,958,326,
537,973,026,622,118,386,729,529,570,916,639,445,293,294,400,634,121,456,851,
734,484,512,859,756,203,681,806,193,343,784,880,894,633,500,781,922,791,480,
442,847,428,610,504,831,375,557,938,570,172,318,874,324,760,086,813,303,567,
056,331,925,786,535,321,955,437,445,553,940,696,835,770,863,279,992,681,200,
817,182,375,032,113,431,449,894,295,205,921,486,654,607,228,985,777,469,626,
030,378,827,685,714,633,744,070,699,635,123,633,632,977,495,908,264,840,556,
718,259,365,558,525,160,027,417,714,287,824,285,716,047,889,262,100,154,962,
833,409,925,040,999,575,666,171,495,066,196,428,987,843,658,110,122,471,873,
832,153,684,775,360,901,495,047,037,333,242,784,984,633,574,753,064,238,118,
046,581,769,957,766,800,270,908,624,762,918,216,635,170,650,236,762,290,114,
003,171,091,005,291,297,904,625,203,504,375,354,482,745,687,122,853,307,631,
139,066,143,096,711,239,146,752,848,258,800,450,968,438,870,067,359,231,101,
877,406,521,268,166,326,618,289,375,090,964,521,532,361,192,742,218,401,537,
298,693,156,505,939,914,876,210,826,982,648,754,815,724,384,589,890,338,173,
788,609,462,835,090,462,319,209,830,259,619,564,647,209,705,647,027,826,204,
817,295,898,948,505,711,448,673,408,330,935,538,043,442,064,440,526,415,164,
432,995,627,336,529,986,317,140,820,705,178,981,686,430,282,774,571,542,199,
545,316,887,602,372,106,218,509,398,419,996,518,473,263,868,780,982,733,744,
143,624,295,774,478,798,401,482,954,845,145,880,383,974,485,923,298,299,474,
600,324,471,487,329,777,719,827,359,847,265,294,788,406,249,888,994,347,220,
816,723,407,400,660,254,614,744,075,198,301,990,241,598,122,173,543,307,303,
893,371,165,648,580,543,305,988,138,235,558,731,558,486,598,945,150,275,403,
293,398,276,942,593,199,689,798,712,588,737,277,090,018,931,296,067,455,048,
803,711,679,961,545,903,394,842,018,787,906,366,956,456,271,175,649,021,127,
301,255,249,278,567,443,351,099,832,832,648,470,515,468,213,067,581,347,763,
158,195,306,084,078,210,637,295,930,077,452,785,061,604,068,024,963,646,515,
612,265,932,495,715,739,100,467,335,001,808,022,366,216,992,067,466,285,386,
014,856,864,750,857,044,540,102,253,621,859,692,138,629,856,496,058,186,369,
835,515,891,333,058,745,817,380,390,233,462,591,894,271,462,026,396,293,484,
691,425,240,540,084,676,225,177,379,062,592,828,819,477,493,815,595,951,801,
388,880,047,614,253,554,670,831,307,958,998,829,011,883,196,750,928,043,343,
832,579,255,228,297,686,948,931,782,629,388,095,743,248,375,638,840,656,440,
305,516,107,306,515,978,544,616,729,001,743,286,676,702,556,501,137,643,125,
901,211,689,628,829,738,148,371,760,144,126,602,030,166,855,879,206,492,349,
763,941,847,017,667,947,135,939,564,660,372,913,265,720,081,197,955,862,946,
179,679,163,802,852,555,845,858,489,656,529,940,858,005,886,229,104,765,193,
460,179,060,770,218,375,950,211,127,932,248,088,894,619,733,104,409,086,930,
282,994,696,314,055,100,211,460,761,563,250,667,376,172,523,126,517,791,956,
796,184,463,971,994,767,692,339,048,651,219,807,955,999,364,266,249,623,618,
764,371,945,115,128,088,007,660,025,289,477,483,773,910,526,834,857,397,360,
102,424,543,780,152,275,792,306,588,784,126,617,082,437,971,240,073,118,213,
544,130,982,469,966,287,250,288,193,218,201,751,816,687,676,651,479,935,064,
970,650,293,641,820,453,965,164,434,891,663,199,578,187,610,151,657,328,168,
111,038,718,553,730,906,922,627,518,965,907,166,711,714,569,553,566,402,792,
390,461,240,308,238,796,610,776,175,210,616,380,709,496,505,377,300,347,114,
914,173,808,186,111,919,765,484,653,251,837,200,660,328,144,664,518,436,673,
250,037,945,156,334,784,641,242,201,054,742,554,577,611,289,300,080,778,818,
008,723,503,326,877,520,744,313,293,684,394,058,730,299,192,393,273,572,764,
973,430,338,425,719,477,898,417,709,620,919,342,386,989,825,535,813,552,566,
976,162,079,996,473,115,095,720,695,817,528,847,046,437,720,396,463,245,521,
644,057,087,319,234,219,581,339,631,756,965,964,778,960,789,833,152,066,641,
104,819,485,639,274,984,446,949,245,755,490,648,893,631,370,237,007,296,775,
843,690,639,623,325,509,850,404,351,427,740,920,616,866,829,943,411,086,689,
063,721,774,815,881,054,006,582,902,573,033,463,494,151,452,015,603,037,097,
605,461,272,746,745,257,922,627,932,746,202,160,120,571,540,529,201,815,876,
502,430,507,315,947,921,882,243,844,174,722,605,432,664,290,263,528,118,055,
462,785,324,156,442,389,516,726,683,111,031,602,260,106,539,676,814,338,235,
507,764,066,039,788,172,393,565,286,309,562,259,375,840,107,465,975,541,362,
601,740,979,192,184,764,013,659,173,910,714,650,214,401,411,783,804,348,182,
795,169,859,742,092,995,264,265,786,698,704,835,031,667,018,546,968,104,842,
199,906,084,575,735,676,929,400,812,620,911,195,585,998,404,944,272,084,416,
006,520,035,938,581,114,635,109,911,636,265,452,431,439,945,052,850,188,382,
224,611,488,340,175,333,234,576,168,431,413,083,633,978,074,802,276,122,454,
304,328,709,274,175,801,027,621,827,979,353,951,845,913,822,804,836,104,332,
860,625,073,560,186,677,832,557,274,612,897,006,930,073,709,577,993,115,984,
239,707,967,402,013,115,556,750,140,666,430,990,059,838,230,405,155,558,346,
948,824,434,793,176,208,466,331,119,505,501,237,314,673,994,413,468,205,502,
100,076,407,977,690,873,291,253,667,620,371,827,090,441,414,238,127,829,760,
172,093,546,767,385,591,239,199,614,047,907,527,957,837,857,068,379,950,572,
242,588,437,429,484,276,600,512,447,573,242,862,875,697,403,234,603,237,845,
644,101,903,327,278,740,751,064,363,592,469,902,161,841,177,004,642,634,780,
999,860,828,487,710,261,978,778,105,542,106,874,855,245,329,851,610,551,058,
136,768,834,658,450,243,970,254,581,476,052,390,016,919,134,129,041,365,765,
958,860,946,829,322,116,968,887,776,806,276,344,180,724,934,640,524,147,604,
077,630,440,657,573,877,555,298,153,135,268,582,060,387,292,352,438,553,124,
213,657,546,132,708,893,150,960,682,561,554,784,593,968,266,010,921,038,510,
809,561,878,374,664,866,076,433,394,976,853,307,371,469,232,282,661,795,627,
724,936,907,918,629,280,623,833,201,863,440,950,336,717,208,997,716,349,262,
012,948,589,937,469,711,085,698,038,033,488,616,999,614,500,660,501,758,571,
890,405,840,269,461,628,674,760,560,359,506,736,599,102,811,245,326,663,731,
204,304,250,256,901,191,356,610,308,660,035,160,546,215,116,254,169,673,370,
803,651,603,298,915,069,302,876,533,313,397,501,459,667,735,186,074,544,351,
718,636,382,874,261,272,962,093,368,743,126,627,457,227,874,144,550,385,777,
296,344,684,686,919,093,711,188,220,698,515,210,414,342,518,082,031,359,075,
112,204,814,176,017,072,554,741,074,415,960,647,396,452,389,686,712,859,837,
604,247,003,845,820,899,344,290,155,426,216,138,801,809,160,767,652,180,079,
000,015,759,013,047,506,576,330,582,878,401,117,255,501,481,531,910,286,100,
507,601,237,776,646,084,050,585,845,390,563,803,737,743,249,846,218,363,548,
554,255,798,685,836,714,919,782,602,287,408,238,656,538,542,284,589,195,679,
598,364,045,439,230,915,667,960,155,045,373,603,023,557,987,410,021,498,143,
651,079,884,686,136,462,912,774,053,862,397,535,795,924,123,388,680,143,013,
898,317,611,423,509,684,445,147,484,253,615,369,431,188,851,030,665,034,598,
003,218,688,540,956,464,832,412,642,841,918,818,393,434,438,692,562,309,789,
239,347,244,386,635,668,347,366,364,069,112,314,101,785,796,254,706,029,403,
406,296,051,105,586,817,836,434,347,835,300,595,161,320,565,927,419,342,631,
418,037,068,235,854,941,144,121,638,382,838,399,294,528,860,521,757,303,442,
097,592,615,392,301,776,316,407,941,973,043,751,198,147,639,831,013,178,183,
141,483,248,480,930,396,890,026,180,789,553,194,698,000,154,669,715,555,844,
821,386,503,566,196,994,272,827,795,426,832,034,165,264,276,656,018,822,431,
093,203,031,519,199,211,239,493,593,522,206,076,151,369,876,610,975,889,983,
538,031,482,298,109,456,536,667,447,872,627,702,814,428,342,894,309,547,972,
290,280,242,124,703,266,863,912,507,096,326,835,322,292,554,266,630,796,547,
724,897,139,710,973,780,701,877,686,393,918,235,009,447,002,903,185,218,955,
164,785,592,748,897,860,561,563,920,894,138,098,709,703,960,545,550,431,443,
429,762,035,714,932,789,481,610,035,711,638,334,531,543,829,049,970,978,993,
664,844,952,304,582,607,550,556,227,517,369,339,139,011,835,149,879,539,357,
506,063,453,695,528,966,774,452,014,193,454,046,694,340,915,569,704,907,385,
842,688,452,261,436,979,753,249,938,785,253,410,401,217,511,909,531,962,003,
323,624,653,825,978,189,944,823,081,735,021,674,658,269,886,587,174,080,509,
933,768,022,723,119,201,630,164,547,369,585,444,263,973,760,404,595,550,865,
558,364,830,589,143,992,140,634,974,270,003,352,107,228,723,503,271,530,821,
103,985,447,729,222,603,440,649,264,839,698,170,622,054,882,066,891,159,490,
260,283,123,451,499,404,474,815,299,061,039,128,158,518,923,763,383,118,763,
604,676,829,718,498,319,841,854,999,527,477,405,154,176,404,862,849,398,866,
015,743,336,782,664,097,090,192,502,633,493,258,113,279,688,641,928,200,177,
001,617,378,281,496,869,847,579,370,068,592,246,228,317,515,333,501,430,341,
528,436,044,166,570,496,436,310,410,990,170,328,354,630,723,181,920,386,674,
740,607,124,013,813,099,513,454,393,785,429,768,251,982,468,145,800,811,739,
525,671,279,053,152,262,826,987,090,537,877,808,722,733,433,066,755,430,915,
472,710,907,059,912,566,657,456,678,256,662,677,062,708,846,474,188,744,426,
076,776,270,656,416,132,562,690,824,701,611,861,027,558,748,079,809,507,831,
367,142,661,026,793,312,287,394,566,256,681,973,793,876,472,628,746,021,616,
239,738,358,220,212,606,810,771,500,050,905,118,459,069,672,783,264,282,806,
165,340,153,436,196,962,131,731,875,021,165,451,508,556,770,973,052,545,148,
000,104,247,932,902,466,535,447,749,871,293,915,270,263,976,195,767,788,114,
431,230,585,343,426,916,211,827,732,269,160,812,295,356,531,066,677,841,214,
439,140,578,826,083,486,092,032,253,889,814,789,762,726,095,425,367,725,499,
703,175,562,243,592,965,321,935,828,653,582,510,892,992,879,245,248,985,393,
567,096,492,919,378,091,860,391,904,888,146,736,241,728,504,463,424,102,030,
969,548,569,703,352,392,655,853,527,039,421,860,551,097,536,422,126,560,593,
207,250,906,031,110,129,445,626,237,663,980,855,228,297,486,931,803,557,132,
219,932,223,317,707,278,963,381,213,813,683,612,266,519,321,722,804,805,346,
533,733,238,857,622,193,865,910,119,078,205,618,910,789,104,521,292,178,876,
829,334,556,446,906,398,319,299,770,357,716,259,320,457,652,146,139,514,956,
787,216,375,676,195,183,639,236,233,570,351,191,120,528,961,794,842,731,363,
383,785,618,293,469,495,641,240,069,559,528,077,541,682,173,122,037,415,686,
626,459,599,581,652,441,170,285,729,352,057,150,561,985,540,310,547,822,620,
159,796,283,091,100,636,437,960,849,570,761,098,013,340,271,398,591,563,092,
543,605,808,973,642,508,355,035,055,264,851,293,718,998,744,478,394,550,308,
211,530,261,377,200,829,999,396,867,798,512,074,672,933,853,520,199,327,558,
895,753,837,546,713,270,075,545,713,157,518,544,996,434,101,508,972,185,515,
687,574,563,453,273,271,143,368,956,011,440,896,894,267,374,306,767,290,155,
504,297,379,505,916,054,424,289,393,327,252,726,187,984,627,123,546,023,692,
452,269,004,237,989,194,775,210,762,895,091,274,863,650,799,262,920,047,858,
111,143,341,932,175,916,115,124,768,730,249,468,516,643,516,522,266,519,871,
119,996,065,501,263,562,322,534,248,373,689,035,471,297,093,003,469,618,808,
573,007,928,512,244,744,302,086,056,724,894,842,718,265,471,600,476,027,908,
196,984,763,027,083,808,676,484,408,137,643,231,554,829,294,876,755,927,282,
240,160,706,295,520,595,892,238,487,771,739,060,958,771,517,498,431,998,422,
714,230,364,294,266,034,819,141,579,779,258,920,620,747,725,902,063,146,728,
902,582,876,418,082,787,328,189,386,886,882,027,812,590,318,287,568,403,432,
560,891,809,783,426,381,585,676,771,982,245,841,413,411,300,580,357,194,549,
305,358,091,901,525,400,829,755,542,357,659,990,379,798,072,431,020,323,388,
305,303,803,031,375,277,540,701,387,193,663,615,552,972,236,509,042,145,792,
397,056,856,707,066,546,396,766,310,129,955,980,780,775,412,617,220,054,780,
052,900,415,554,888,326,530,508,041,435,642,019,296,769,858,068,621,959,902,
268,433,288,550,805,703,302,946,070,668,087,886,985,922,690,705,010,608,914,
909,764,144,349,077,037,582,551,674,462,623,205,387,530,824,961,760,763,528,
339,440,748,611,092,130,805,975,628,343,516,995,325,021,853,647,840,522,682,
998,450,612,159,835,679,966,152,748,757,228,185,602,702,244,711,298,190,771,
840,749,082,551,354,801,990,631,748,675,918,019,478,140,176,560,834,092,655,
224,790,887,119,435,789,036,831,253,644,629,478,123,568,497,860,044,343,122,
689,417,972,040,878,098,265,470,327,564,634,694,060,305,375,404,954,476,791,
093,688,521,080,052,824,186,967,778,138,534,871,680,126,368,897,699,574,232,
535,220,900,585,137,157,166,714,045,034,126,269,790,823,406,777,881,198,686,
523,329,350,134,382,457,270,668,403,779,634,453,224,609,649,301,063,436,435,
161,972,384,625,481,165,524,197,043,589,259,914,046,633,947,947,417,836,911,
288,441,733,058,410,665,065,109,958,306,760,429,506,371,977,586,256,880,151,
322,213,382,073,358,449,269,682,964,556,048,493,932,320,491,075,003,555,037,
388,316,700,294,078,167,943,442,001,406,238,548,740,590,629,194,584,324,251,
828,594,036,656,527,620,606,301,579,086,125,280,353,911,076,435,670,902,526,
717,757,346,481,147,481,858,369,506,990,175,263,863,282,753,334,099,939,138,
784,053,618,687,387,659,240,673,633,118,562,301,997,577,249,714,898,460,175,
645,909,823,852,920,996,187,245,121,239,047,692,900,915,705,872,891,490,620,
657,839,129,381,034,263,372,161,496,542,256,891,215,496,007,544,633,030,500,
974,728,911,733,863,486,277,576,282,107,279,213,565,055,049,861,934,991,335,
395,367,449,521,691,388,240,836,815,632,666,362,356,607,920,986,859,321,192,
868,612,955,377,750,167,850,588,392,274,029,135,666,508,655,135,652,592,407,
915,610,776,636,292,904,225,963,841,647,721,763,483,404,085,011,762,698,915,
620,734,396,649,665,942,856,246,350,287,271,188,851,702,341,168,190,938,805,
986,765,179,006,845,932,698,556,856,016,298,155,494,093,580,639,631,975,267,
745,921,712,718,477,351,298,968,136,150,417,698,434,933,455,572,774,752,033,
716,658,281,074,907,692,777,620,287,630,220,677,038,550,409,096,496,637,185,
351,279,080,819,682,471,471,369,093,503,581,870,006,249,508,811,175,700,386,
103,215,738,751,701,650,392,424,934,866,205,017,224,676,835,616,005,924,009,
696,703,160,386,376,386,315,909,616,154,910,532,146,449,037,400,438,237,082,
445,681,345,653,619,732,234,173,007,382,779,972,877,686,996,322,919,643,932,
828,095,896,172,785,024,250,293,510,076,935,692,505,588,696,628,522,683,755,
377,302,355,868,572,056,804,475,183,175,918,617,352,131,482,574,693,378,087,
645,704,483,384,837,354,212,247,599,522,994,355,401,793,692,264,497,035,767,
292,547,597,837,159,433,669,340,908,662,846,818,394,996,664,922,702,168,515,
483,372,413,666,022,846,617,768,878,215,886,416,934,418,303,709,829,776,154,
452,522,568,313,054,026,936,158,013,994,240,118,097,192,343,832,450,381,461,
281,795,001,406,492,096,883,788,749,605,909,945,221,584,412,780,354,931,017,
694,065,514,815,920,271,778,008,123,042,058,349,762,221,254,918,688,113,059,
044,555,652,567,165,679,654,810,312,639,862,174,280,597,348,744,856,931,938,
320,192,403,243,158,024,607,871,213,684,835,458,632,042,954,383,868,789,719,
727,348,703,265,970,254,139,823,135,784,475,643,719,995,583,223,614,578,169,
570,396,802,418,919,690,496,127,228,805,695,638,490,999,057,525,996,717,764,
353,849,236,512,181,843,027,429,267,938,928,085,371,656,404,061,657,393,795,
718,968,199,322,900,113,059,947,948,341,939,395,681,115,993,420,699,430,917,
924,261,740,714,865,845,865,540,203,188,588,957,960,380,522,256,488,843,967,
773,523,130,863,082,214,329,604,425,523,386,953,468,588,603,956,131,383,066,
999,617,316,984,083,729,291,773,039,175,002,712,788,005,121,352,756,291,747,
031,074,180,630,505,026,294,705,874,424,631,873,543,382,487,994,184,838,034,
513,101,046,842,334,653,980,044,075,838,181,055,067,619,429,202,537,717,539,
772,462,494,171,793,236,881,732,762,706,722,462,558,437,923,275,849,441,057,
636,664,881,412,322,617,780,431,349,774,965,252,912,769,037,001,000,358,980,
469,664,639,023,711,552,360,455,465,768,648,153,150,671,736,130,441,992,863,
645,301,567,459,521,938,472,929,258,595,527,160,518,622,018,128,971,543,967,
779,252,929,652,849,400,991,004,720,848,267,429,988,221,564,376,424,571,953,
984,873,745,405,339,568,695,681,739,533,614,757,518,080,622,173,718,799,300,
322,333,536,975,794,333,810,286,616,274,896,468,686,495,512,133,591,971,411,
764,519,859,968,224,619,447,146,629,386,226,961,611,101,647,615,657,234,576,
353,608,402,067,394,221,781,003,625,308,236,123,183,754,753,240,789,434,579,
760,935,786,874,961,387,254,501,118,711,006,076,533,692,045,674,653,313,095,
984,321,370,873,466,422,051,293,270,014,689,368,355,632,956,277,111,898,328,
654,366,171,572,947,803,707,578,944,612,877,204,711,886,287,871,245,430,458,
875,088,410,235,469,465,629,079,631,318,766,321,754,514,943,038,065,948,438,
683,404,295,026,230,637,653,880,841,464,934,587,919,364,014,149,428,217,824,
213,107,847,260,370,005,199,443,214,228,305,584,264,276,504,912,396,440,237,
575,968,793,720,780,514,884,431,322,865,378,492,372,492,229,327,038,750,418,
912,621,496,799,673,375,435,598,043,927,974,020,301,110,194,204,362,593,201,
769,898,066,333,260,801,482,529,054,111,452,413,908,449,107,925,228,638,009,
125,317,173,904,367,062,741,655,165,388,380,014,519,955,722,348,128,333,650,
405,876,445,127,390,193,939,050,723,234,273,038,242,561,435,439,902,853,782,
752,620,423,916,399,766,630,091,654,890,161,911,545,542,782,843,142,805,082,
652,207,271,634,038,527,683,956,343,564,658,726,089,307,869,381,076,360,557,
068,263,537,640,898,125,449,995,831,061,588,473,817,617,043,225,631,950,471,
815,812,286,074,207,910,693,851,627,588,082,579,656,732,789,910,051,480,651,
462,284,313,853,405,126,521,180,161,053,087,944,284,670,322,489,010,498,743,
870,501,302,545,612,683,138,149,876,912,214,162,133,408,642,354,009,384,861,
236,046,417,834,105,085,509,732,279,746,477,744,253,993,237,478,401,949,648,
447,269,073,382,551,270,641,392,447,141,484,634,841,016,318,641,073,507,259,
649,751,744,087,798,819,354,628,044,082,311,241,270,663,250,321,622,277,834,
038,517,093,127,279,546,368,885,879,527,829,660,211,133,467,696,307,753,791,
668,198,482,483,885,267,737,682,942,038,757,009,265,329,985,121,380,109,326,
106,352,574,116,271,876,931,828,936,631,683,775,784,367,608,921,658,320,295,
821,359,147,322,438,886,457,235,731,271,956,809,881,589,063,347,251,075,068,
236,447,247,115,247,688,532,488,596,694,624,319,752,958,312,816,392,681,027,
377,446,522,329,682,320,686,245,671,200,299,347,796,816,390,142,094,036,254,
535,380,630,690,843,203,412,999,294,757,227,450,368,029,533,741,965,268,909,
662,305,913,708,641,959,598,505,567,046,560,292,293,208,190,824,242,273,132,
378,416,151,081,928,333,055,364,637,748,760,333,277,641,055,957,549,636,520,
243,533,887,300,709,783,265,123,656,279,249,081,324,674,949,687,286,936,790,
778,156,584,971,609,332,817,579,303,105,210,984,955,317,630,151,389,746,750,
234,573,963,699,824,582,371,951,978,495,844,150,485,591,154,628,140,427,376,
218,834,518,399,814,273,576,940,552,628,435,748,170,250,576,423,980,585,697,
098,316,296,620,308,276,647,888,136,518,518,658,959,226,621,046,683,546,884,
751,217,028,259,029,368,198,816,985,545,169,467,311,768,080,507,320,768,777,
148,385,350,537,577,579,178,288,660,501,375,945,084,574,357,477,662,870,952,
352,326,067,067,756,736,604,184,003,711,005,781,053,608,220,991,989,830,260,
970,057,507,611,759,650,297,435,140,865,931,044,924,882,398,404,838,212,311,
512,710,485,088,525,070,595,129,985,359,125,105,808,985,251,851,914,102,292,
347,849,145,523,379,734,724,124,106,748,537,419,213,243,249,341,218,853,034,
378,001,158,086,543,967,299,438,694,280,626,390,043,931,844,649,437,903,536,
582,824,577,255,183,567,852,638,342,315,554,709,688,671,047,960,189,709,731,
626,577,475,536,268,305,149,198,167,107,698,320,676,757,744,513,723,975,675,
556,387,156,435,753,798,135,399,540,484,816,933,947,461,276,290,454,365,124,
455,930,715,708,911,685,147,335,926,772,729,406,085,900,579,804,053,892,315,
891,919,439,519,785,601,240,448,021,753,319,902,082,332,752,721,673,110,398,
488,490,538,991,371,638,133,091,825,369,949,801,180,847,049,230,838,520,174,
830,248,941,496,330,605,056,213,185,800,055,852,813,132,768,844,602,174,748,
694,018,640,842,922,526,534,346,895,191,027,376,566,724,978,630,879,445,568,
493,182,162,481,540,379,984,759,897,955,773,109,339,217,591,619,928,822,221,
641,942,640,144,487,629,974,755,587,651,451,883,106,099,277,640,372,635,481,
320,394,470,945,478,255,266,521,286,025,388,193,707,430,986,083,311,713,623,
544,965,471,152,171,262,385,467,300,596,464,023,299,220,060,154,696,784,820,
931,017,576,010,222,555,081,585,976,841,130,333,572,375,171,797,640,525,807,
941,546,367,986,565,265,206,661,851,378,333,210,199,601,232,599,917,372,655,
505,276,785,166,297,366,525,160,720,939,153,730,037,560,061,251,064,737,231,
293,679,002,272,198,136,470,477,952,125,623,555,990,217,834,028,878,247,597,
493,302,769,868,429,324,741,978,345,229,689,681,035,506,863,902,384,503,875,
489,243,841,591,072,159,154,077,002,283,579,230,009,544,699,844,782,350,052,
359,009,336,060,580,391,502,540,509,124,898,142,101,648,379,348,262,652,244,
733,941,759,345,680,900,439,981,162,797,266,494,123,679,771,538,735,252,383,
272,762,079,623,381,017,128,936,939,286,289,112,714,267,941,398,572,249,719,
943,645,702,168,651,284,194,306,804,720,874,037,389,640,420,988,992,541,913,
798,221,692,849,042,247,430,342,816,115,074,964,539,703,156,229,832,994,940,
150,812,390,775,994,523,708,136,622,564,501,027,128,887,371,496,213,111,593,
961,444,697,913,469,311,870,651,694,747,604,475,431,113,695,157,855,463,549,
758,107,940,142,094,646,197,994,498,972,717,429,716,102,839,440,483,865,671,
483,972,317,153,734,913,720,131,208,197,764,828,131,682,689,662,996,750,646,
873,598,196,950,945,345,299,589,059,927,474,791,040,957,964,960,350,653,959,
399,978,958,209,584,247,090,798,239,701,643,659,468,641,730,246,604,444,585,
965,191,859,968,234,954,971,245,173,705,831,910,914,834,145,600,926,221,895,
836,737,024,554,150,286,854,742,935,911,222,391,598,414,704,193,802,263,819,
503,662,051,242,344,388,902,040,105,717,450,505,806,442,678,944,704,536,591,
048,798,451,218,008,338,825,994,743,029,117,074,233,342,811,006,217,560,095,
430,610,297,143,499,125,853,339,294,014,725,570,424,574,049,015,426,049,148,
612,234,630,456,976,815,113,801,627,141,644,269,944,773,752,180,989,851,475,
261,729,966,779,509,216,762,492,068,294,884,844,963,226,277,843,140,247,826,
510,448,712,028,611,024,300,476,319,177,568,808,164,613,118,629,242,680,181,
531,794,061,155,818,130,257,424,622,437,233,363,300,904,359,590,963,858,412,
477,058,961,405,690,325,611,588,033,312,337,667,581,699,838,672,328,265,146,
607,532,846,701,951,057,611,945,321,964,478,539,439,487,371,852,142,285,507,
304,632,734,480,231,235,891,396,372,105,468,904,285,853,391,767,854,569,835,
031,418,102,912,355,631,223,321,732,273,772,222,908,481,685,293,326,591,346,
295,148,516,725,048,502,854,299,838,410,145,113,275,559,873,318,815,714,512,
709,947,446,095,825,635,281,206,110,024,599,911,694,127,607,192,689,668,131,
752,631,049,123,774,258,624,459,445,907,798,254,933,299,515,240,887,653,855,
665,830,178,021,372,756,413,931,239,800,961,930,604,026,719,396,825,809,213,
728,725,579,478,005,612,050,271,555,975,819,352,729,003,483,555,142,515,858,
875,439,554,131,103,034,060,582,672,863,617,382,087,424,168,453,826,920,592,
486,430,547,652,589,448,366,139,421,621,816,994,723,467,969,515,335,892,863,
831,272,155,719,713,088,536,851,027,129,612,009,061,178,182,090,605,166,683,
433,580,823,765,602,149,197,275,382,770,288,347,035,711,297,317,493,602,279,
497,542,818,623,879,210,645,573,996,468,624,612,218,392,850,145,714,256,634,
240,990,967,050,454,662,136,915,442,786,697,185,801,582,162,496,963,261,445,
811,264,238,585,690,475,493,072,729,198,363,438,211,431,706,307,062,986,426,
265,921,880,166,565,192,057,048,120,230,415,623,533,906,264,274,934,465,803,
700,217,521,809,605,009,178,888,556,334,128,568,140,148,898,552,101,912,262,
033,021,268,061,310,874,007,592,508,576,817,555,072,158,742,319,499,775,981,
907,154,718,073,036,595,348,739,312,765,230,840,770,312,862,863,555,058,752,
402,917,097,988,591,172,926,751,202,320,333,216,444,806,629,061,079,231,164,
854,307,878,200,113,776,814,444,703,273,700,168,647,892,634,837,254,583,901,
621,406,795,750,669,449,461,546,556,333,257,409,641,456,695,288,626,845,972,
743,662,996,426,478,417,810,657,708,309,648,266,983,047,266,851,132,090,200,
823,416,562,095,598,889,497,894,265,033,578,915,516,120,466,937,147,334,908,
755,116,827,353,780,409,698,506,305,508,310,359,896,814,831,320,890,587,982,
991,838,072,699,343,061,044,789,028,528,408,234,801,726,787,963,605,468,886,
077,154,067,691,907,221,113,480,088,342,504,547,163,680,442,653,874,862,893,
011,206,003,721,733,847,084,436,552,940,668,200,985,224,812,520,732,750,654,
748,105,125,859,517,329,595,728,077,738,768,549,606,575,866,905,917,156,632,
017,925,108,197,876,329,759,281,500,521,998,733,280,487,531,019,707,005,819,
956,851,773,236,358,397,632,490,218,287,584,241,570,738,541,549,853,825,606,
425,768,319,239,793,864,172,313,708,887,707,458,985,106,891,112,896,059,637,
921,958,787,178,212,667,018,297,515,978,121,123,488,285,931,720,036,786,828,
764,282,167,427,973,866,210,431,807,258,207,210,240,709,071,220,019,461,701,
421,553,745,456,834,569,475,538,671,936,648,296,068,832,557,199,318,387,973,
916,679,661,995,193,441,497,227,741,599,048,761,963,496,593,173,779,375,743,
435,811,931,909,035,121,974,481,316,696,924,424,271,412,908,767,058,958,900,
800,613,451,063,995,532,766,428,704,425,668,715,278,228,472,391,222,371,219,
922,845,483,638,823,545,018,472,004,685,695,808,829,081,256,506,563,313,429,
760,791,948,474,611,523,088,093,371,911,650,190,246,473,029,497,729,948,755,
196,997,526,565,840,791,646,133,989,770,658,867,365,063,038,649,147,353,235,
132,731,197,084,089,016,763,685,185,860,426,506,872,237,997,391,288,519,905,
203,721,401,775,127,313,484,524,627,457,466,006,079,091,598,216,024,716,696,
916,484,091,249,209,600,578,780,008,611,812,793,126,322,075,199,969,337,190,
688,163,116,207,858,998,859,241,132,927,594,420,044,455,302,783,898,406,504,
233,580,383,290,604,080,529,025,999,780,224,060,758,736,237,554,749,103,337,
525,685,607,986,041,743,689,605,430,620,940,220,876,316,528,694,612,086,799,
336,195,762,208,543,493,701,540,409,832,408,863,295,588,814,098,250,059,168,
671,524,965,787,214,141,073,419,210,997,654,158,828,054,567,582,518,802,131,
421,000,658,508,305,616,707,347,602,247,373,355,796,614,544,140,706,591,702,
405,055,849,606,235,358,266,218,106,695,979,597,325,871,578,491,036,632,633,
202,337,274,662,394,776,567,194,668,108,598,988,979,227,915,898,982,524,828,
452,530,545,210,764,436,895,138,413,516,134,582,274,939,959,533,868,992,653,
031,912,134,490,870,726,981,762,925,243,152,758,263,366,463,646,673,332,990,
353,806,926,474,138,939,038,718,880,497,795,997,411,725,508,214,442,516,334,
693,487,098,125,118,988,806,164,889,476,827,669,224,572,842,317,492,051,328,
308,393,610,944,151,082,822,959,853,949,960,515,132,240,449,108,040,546,080,
639,549,290,970,959,724,797,443,120,390,588,449,713,371,640,808,164,388,416,
620,770,129,313,122,387,562,055,475,398,761,501,068,759,321,353,239,782,089,
990,116,315,371,461,474,222,323,436,605,408,871,023,403,482,719,513,893,926,
950,068,927,892,675,979,543,710,629,159,486,685,635,067,575,212,851,943,055,
942,755,734,069,221,197,508,556,011,725,635,455,724,212,444,112,512,065,437,
217,217,208,741,360,716,132,472,428,841,526,774,949,416,209,731,379,842,241,
010,710,724,561,269,320,895,066,418,601,569,928,510,421,792,560,477,620,380,
035,923,404,676,538,175,969,141,772,503,853,127,255,586,384,057,733,278,219,
544,614,604,535,105,296,246,261,015,293,835,214,656,714,454,764,745,294,956,
653,405,150,339,546,051,453,897,779,479,934,021,706,213,249,417,648,888,289,
788,384,274,474,408,596,227,195,374,299,503,265,463,128,690,772,536,723,558,
927,902,888,694,555,456,885,345,447,785,705,083,499,140,897,946,060,626,265,
727,359,652,260,713,613,033,134,693,965,000,239,960,128,368,634,905,161,946,
245,936,891,617,136,880,363,784,795,694,434,911,479,001,737,488,946,815,296,
617,463,819,932,019,335,088,433,031,088,192,082,278,731,509,138,625,521,763,
197,248,092,043,771,564,120,289,647,665,646,028,285,151,765,560,127,516,186,
476,163,739,203,861,085,638,315,819,122,809,965,267,799,595,145,474,970,261,
976,571,401,490,734,625,164,234,049,372,517,434,166,972,028,564,061,362,732,
771,864,371,545,206,412,886,429,551,576,348,013,306,946,086,648,787,045,021,
759,371,069,595,933,321,217,735,303,324,175,696,354,209,598,404,021,369,325,
435,013,448,093,406,606,597,945,143,057,727,816,841,534,535,202,215,462,287,
305,851,860,035,472,287,384,067,259,555,870,260,981,215,666,839,437,849,665,
034,976,355,035,691,439,414,244,185,010,894,872,424,824,184,682,488,591,275,
931,541,490,439,038,909,334,940,549,886,092,026,116,544,639,987,867,650,524,
842,438,176,005,644,060,458,218,308,322,662,641,936,318,855,928,525,324,635,
201,751,066,602,556,036,800,625,963,686,668,948,772,235,940,988,405,576,791,
786,917,414,060,357,034,363,064,545,810,027,653,431,996,288,464,435,317,787,
288,214,542,213,631,983,039,718,355,910,066,120,243,742,659,166,589,358,722,
165,601,428,813,768,440,156,525,869,171,041,603,314,116,668,655,015,666,663,
880,055,652,540,853,809,713,723,837,015,739,632,551,339,959,714,324,882,683,
909,970,827,120,242,087,030,219,734,186,438,446,766,592,698,153,027,221,589,
559,296,235,954,731,626,686,922,127,709,105,396,347,599,069,255,279,533,927,
408,166,236,702,143,433,292,088,995,093,187,736,639,459,134,246,575,423,855,
689,601,719,632,389,375,403,556,129,067,139,486,058,514,422,990,937,693,423,
702,265,992,292,478,756,065,916,544,468,864,002,845,518,806,679,188,899,346,
802,073,115,568,439,489,877,289,622,833,990,074,394,881,455,497,811,534,989,
246,214,866,131,197,259,183,297,599,649,638,972,731,534,209,150,681,018,510,
967,143,665,144,284,733,471,904,861,055,256,053,705,957,397,749,423,998,907,
076,045,462,994,796,516,722,990,665,542,369,656,969,377,012,159,133,167,069,
366,498,946,191,843,852,098,199,667,717,981,858,791,331,443,164,216,193,699,
238,162,407,334,275,192,309,377,271,123,509,144,294,015,158,532,455,726,688,
853,897,460,790,747,650,204,157,266,749,052,132,895,655,676,379,724,265,477,
409,707,653,884,292,898,938,019,980,777,399,856,103,160,584,881,296,415,422,
732,328,995,830,767,965,235,382,556,511,617,638,128,578,675,061,988,578,069,
864,315,497,775,479,369,044,160,006,208,761,796,368,522,882,161,250,746,670,
757,634,082,780,551,941,894,181,679,944,332,818,520,517,337,109,337,499,701,
986,426,869,392,161,071,565,679,146,152,629,813,561,693,352,840,092,223,691,
100,483,712,652,858,271,115,621,651,834,783,519,570,701,680,290,575,520,076,
268,558,998,874,861,129,729,140,770,666,546,628,554,304,909,047,149,806,427,
514,666,853,672,677,804,785,762,542,283,491,775,979,353,594,859,826,959,925,
153,950,631,920,645,893,037,756,382,661,014,278,576,593,003,508,841,542,650,
576,036,547,626,886,512,930,564,479,269,467,851,686,395,396,483,717,417,151,
790,370,385,733,147,865,769,026,786,130,261,305,247,590,803,678,753,860,867,
016,300,576,024,734,969,009,240,917,238,719,980,714,600,811,798,625,969,085,
175,475,496,809,097,546,543,642,415,417,160,406,744,384,722,138,649,942,083,
346,328,636,002,182,201,083,864,101,745,630,330,904,635,028,792,599,004,639,
322,015,272,386,815,154,844,201,412,757,171,450,791,954,727,484,066,487,920,
773,711,777,989,983,240,012,625,102,838,690,485,831,947,937,691,027,168,981,
888,633,596,535,545,878,343,800,045,714,528,405,937,819,312,507,977,366,697,
674,284,455,215,521,381,372,337,693,771,614,755,574,367,795,129,483,460,232,
324,337,815,768,252,417,071,757,295,629,905,552,384,931,458,728,334,548,402,
395,612,987,112,442,877,253,388,360,532,393,330,168,304,773,995,330,894,587,
797,475,753,843,931,244,421,632,696,675,570,432,463,606,339,365,204,922,563,
445,665,840,059,207,265,039,578,846,670,627,844,099,550,881,969,632,129,199,
982,145,702,314,902,234,486,994,486,229,314,244,049,949,883,349,743,971,194,
011,998,236,045,369,404,320,449,058,734,744,516,031,189,825,761,403,507,229,
179,683,812,051,603,385,040,141,789,887,264,522,039,154,518,556,853,752,177,
960,988,178,343,008,590,541,147,658,086,062,079,362,489,525,075,950,726,735,
506,592,787,581,536,485,910,070,064,811,976,560,737,415,356,543,378,791,463,
831,571,586,297,325,135,027,373,523,405,640,929,203,997,335,064,528,109,240,
521,025,178,231,068,858,273,895,737,284,179,997,974,304,494,964,878,029,028,
011,781,068,449,221,907,731,090,714,940,614,204,013,389,702,875,630,579,333,
423,434,923,934,449,777,078,946,478,425,625,507,617,029,002,560,101,908,486,
006,789,389,491,909,170,186,734,363,325,220,049,988,536,760,048,698,464,716,
713,938,577,083,642,617,075,162,458,930,821,268,701,731,531,730,739,261,821,
480,830,823,623,708,280,669,709,877,820,677,173,457,759,238,389,814,731,567,
001,125,880,664,500,767,412,582,178,267,801,952,112,394,841,555,161,379,616,
084,734,643,660,725,501,318,062,054,553,533,211,257,749,155,716,837,487,999,
202,547,018,266,145,122,441,584,200,546,777,126,307,701,734,898,804,628,942,
295,848,208,782,230,199,889,714,329,858,216,294,093,992,099,931,369,624,153,
161,991,491,488,299,424,897,542,036,233,294,745,550,665,349,595,592,385,062,
254,693,192,507,505,858,159,513,100,854,752,387,138,200,180,720,087,736,842,
505,725,378,680,017,523,319,718,787,056,722,027,704,637,632,866,588,598,545,
119,223,465,777,831,326,297,592,087,550,020,758,425,502,595,340,924,260,099,
377,431,206,127,229,893,285,001,421,030,114,010,598,147,825,773,053,712,031,
447,275,808,809,386,745,009,989,418,126,652,831,219,407,738,708,396,432,000,
236,047,459,119,478,916,071,083,380,592,130,266,785,856,749,825,139,073,701,
249,236,045,071,756,782,138,584,853,705,126,665,837,030,684,597,921,072,166,
334,803,772,986,907,441,281,815,033,834,716,989,153,412,874,302,065,822,120,
902,160,277,024,771,841,624,646,997,463,014,780,124,394,286,824,106,011,161,
004,444,253,517,460,584,328,958,742,549,958,953,674,135,571,215,619,000,801,
815,815,157,617,635,399,789,632,618,374,461,124,315,132,207,486,418,218,122,
438,302,610,170,813,052,783,900,486,657,224,962,627,948,631,119,111,503,296,
265,303,827,581,994,979,138,408,582,440,466,055,429,974,131,033,741,255,507,
615,544,117,744,756,314,331,256,502,031,907,346,983,261,763,493,030,869,873,
195,538,961,911,710,155,003,567,025,629,438,281,428,719,775,045,176,250,978,
416,334,417,213,427,329,165,637,819,049,124,319,280,401,803,318,387,126,322,
108,494,364,080,761,572,148,941,502,555,306,503,111,208,734,509,610,552,024,
312,132,555,873,703,272,940,731,784,898,611,660,535,015,824,787,065,089,265,
267,923,917,536,538,573,501,872,505,187,941,600,174,262,904,263,973,345,507,
771,004,223,107,670,949,179,183,968,467,352,909,597,532,723,966,334,482,225,
130,829,368,323,349,031,135,475,454,366,727,876,078,520,373,423,315,310,875,
989,299,540,144,730,109,651,538,302,316,204,258,093,813,545,552,807,909,854,
683,438,850,647,625,136,643,807,371,538,582,134,643,029,021,041,221,672,418,
754,700,261,053,264,384,288,849,499,616,097,182,952,841,883,139,511,736,794,
996,480,469,923,844,452,265,270,237,031,786,825,898,358,026,248,886,030,019,
294,899,240,276,009,921,499,045,698,350,828,025,053,040,667,173,141,225,750,
320,115,502,396,538,388,222,896,759,449,854,007,820,110,993,114,414,425,657,
799,806,009,184,102,456,641,981,069,222,616,209,323,319,598,885,169,201,106,
747,804,331,144,401,548,266,861,327,983,124,297,932,655,367,964,306,642,869,
204,848,670,683,976,561,300,206,799,119,999,041,421,129,941,646,702,984,497,
265,540,915,924,060,393,668,171,419,774,825,503,202,467,305,032,712,976,198,
241,457,406,930,548,186,830,037,099,086,248,612,985,819,464,275,483,127,963,
298,879,025,693,584,001,272,204,349,159,840,426,598,312,242,674,635,182,565,
111,605,819,426,029,875,767,850,936,151,304,534,102,589,979,727,072,184,104,
648,786,888,566,898,355,104,377,112,061,423,209,998,314,476,182,853,804,011,
744,388,214,728,525,642,771,361,936,390,884,232,394,339,187,645,140,944,931,
284,359,676,103,542,878,947,919,490,731,812,189,523,296,049,506,619,535,692,
090,799,880,603,603,282,125,184,954,959,587,933,406,806,168,196,429,964,366,
952,189,018,574,936,812,560,403,249,795,667,229,209,373,382,406,485,470,824,
815,591,525,420,122,905,116,211,778,519,128,655,050,323,972,689,001,047,884,
032,800,787,814,127,115,471,128,988,645,258,483,903,808,327,237,954,701,148,
759,454,117,002,050,811,483,719,685,723,058,829,215,920,558,228,853,968,115,
584,060,421,646,513,320,550,294,875,869,149,819,714,772,297,600,301,669,649,
229,913,412,040,931,828,836,312,228,675,038,313,667,733,320,846,305,915,955,
824,443,630,274,235,984,614,788,966,238,071,399,629,197,183,103,710,037,669,
291,686,682,019,872,429,565,485,691,254,993,102,213,748,684,840,312,864,395,
027,089,630,543,566,506,485,189,293,189,544,845,102,801,714,046,040,961,033,
665,259,589,762,427,446,698,778,726,168,551,857,805,673,853,657,387,325,574,
430,193,479,552,855,412,279,139,367,222,317,112,842,500,198,369,902,796,043,
924,952,291,122,154,130,098,365,882,820,552,549,629,672,285,163,759,675,390,
699,778,289,834,092,165,071,188,053,656,654,986,949,998,664,866,007,541,694,
267,409,042,873,871,322,053,833,757,555,355,011,466,444,349,120,572,300,005,
606,686,152,383,222,916,438,579,759,098,387,595,820,217,752,855,925,274,934,
959,878,981,209,479,840,623,194,091,642,176,828,705,278,621,809,806,951,716,
441,659,380,911,757,309,776,068,611,397,242,134,726,597,152,981,455,765,104,
234,397,386,571,087,091,797,097,079,794,893,496,212,378,906,164,738,005,929,
584,463,373,472,624,986,354,732,203,603,661,253,612,853,314,490,158,434,944,
121,471,746,200,245,311,808,643,306,477,794,583,752,399,389,894,977,605,209,
954,619,559,952,547,145,018,646,284,585,225,116,369,351,414,707,021,167,140,
266,970,847,298,596,525,028,027,520,528,005,299,960,219,463,069,451,469,826,
620,061,922,608,076,335,183,635,880,354,298,206,683,063,677,312,539,361,803,
887,066,968,314,723,293,875,651,937,992,243,369,499,744,817,821,422,427,566,
852,962,422,905,600,793,561,257,496,916,191,928,153,287,579,944,066,596,140,
292,334,709,480,240,977,323,511,086,506,581,668,071,418,091,151,471,865,451,
710,330,755,221,549,223,609,620,042,127,755,441,742,946,044,600,158,493,719,
226,962,858,795,989,924,660,334,691,067,071,980,809,411,001,762,608,229,922,
478,687,182,213,011,819,524,296,397,163,652,209,845,972,020,250,690,461,442,
809,433,708,776,078,047,131,952,938,838,348,077,337,906,321,021,700,075,976,
455,527,423,763,073,342,253,849,454,348,075,015,404,818,949,090,821,744,784,
527,826,666,700,200,157,754,878,328,485,345,047,120,130,275,081,013,649,333,
314,867,692,723,395,654,626,540,727,024,599,506,343,390,375,800,034,940,353,
101,448,344,316,594,102,433,678,871,300,551,716,219,171,647,786,354,093,459,
099,855,633,825,436,024,270,173,634,556,251,871,637,143,320,132,803,612,994,
158,146,095,806,756,810,423,015,271,346,774,580,825,683,022,608,042,889,057,
079,542,888,648,642,419,409,975,816,822,182,020,922,834,236,685,438,792,397,
855,718,176,454,554,805,253,792,217,191,308,186,371,002,558,843,712,840,573,
895,494,520,952,597,386,088,996,839,340,056,561,954,442,777,496,025,090,955,
352,874,832,740,600,742,959,682,667,095,440,163,104,393,899,034,672,074,655,
901,453,722,546,949,380,231,471,735,834,767,763,176,859,678,437,150,692,584,
870,299,055,947,713,499,302,261,209,924,205,813,638,744,401,996,397,864,011,
682,361,967,038,796,037,040,000,893,268,705,437,109,800,893,458,808,996,569,
330,093,243,149,945,437,438,179,784,862,042,044,916,355,618,901,644,112,315,
238,929,278,810,417,466,767,078,131,669,288,281,659,553,451,474,992,419,017,
544,177,432,301,006,607,336,402,770,244,555,772,266,645,326,235,182,966,177,
073,619,975,654,002,966,166,679,005,850,482,365,772,048,305,314,094,502,538,
510,649,794,086,528,121,766,319,636,550,507,897,843,285,485,358,402,629,577,
441,965,729,518,589,569,468,282,586,325,091,752,653,494,359,904,436,303,031,
733,825,610,994,023,489,424,030,529,773,684,938,820,320,293,973,836,769,626,
749,719,283,995,186,987,508,750,888,831,087,428,668,565,848,817,500,416,480,
530,375,141,302,781,584,947,679,656,549,288,936,913,911,861,725,862,556,929,
208,524,372,871,222,692,502,305,623,074,632,505,825,255,872,807,782,539,213,
103,205,329,466,545,405,426,740,547,094,544,749,959,346,626,550,888,702,874,
700,081,374,093,511,567,715,052,493,880,933,530,709,700,611,650,592,241,983,
706,593,637,936,511,725,559,670,680,596,418,622,061,119,768,715,607,303,787,
336,051,688,446,642,251,873,678,219,527,382,227,463,391,638,986,825,343,959,
761,465,701,201,963,153,204,235,039,309,739,754,776,941,146,605,007,298,567,
727,661,878,764,588,285,303,615,321,602,162,381,165,512,127,124,528,730,455,
256,964,674,793,500,038,543,419,060,816,751,775,452,172,046,593,560,410,835,
205,617,878,185,368,056,591,023,812,191,103,619,220,162,224,807,224,079,064,
056,828,963,079,775,942,226,930,857,072,406,838,425,352,179,312,489,215,407,
948,630,266,127,968,647,986,253,188,711,600,329,743,517,033,509,060,278,233,
273,421,411,306,298,113,872,541,308,011,760,987,059,525,191,078,270,659,533,
769,555,345,420,516,041,971,824,025,091,212,171,520,482,702,765,419,083,433,
795,886,334,717,658,043,658,923,295,729,453,983,581,139,975,873,220,679,250,
881,699,271,848,240,166,413,656,757,409,262,204,548,153,658,958,008,819,685,
331,932,695,175,762,705,850,078,678,747,769,929,446,217,213,781,991,563,194,
112,848,960,227,375,307,972,065,234,384,687,484,037,943,086,937,846,939,779,
171,201,226,941,785,759,024,055,631,172,064,126,149,960,025,863,282,807,067,
488,731,619,900,075,783,456,556,320,855,114,887,608,192,918,695,026,330,759,
350,671,714,716,521,833,290,315,229,455,068,753,024,657,026,094,073,398,189,
847,737,791,927,615,426,522,862,188,541,092,600,506,752,867,610,826,280,965,
899,727,198,453,708,072,873,514,820,558,300,577,206,908,322,749,153,130,199,
273,902,466,772,340,673,021,501,056,039,797,720,048,379,746,771,865,790,070,
305,012,093,346,160,537,294,895,662,845,527,722,478,091,597,064,345,880,539,
210,571,957,526,986,397,882,295,681,169,076,479,095,142,043,555,093,721,802,
066,991,594,277,687,916,916,642,877,697,116,697,782,329,481,459,290,724,803,
382,697,569,596,372,743,130,735,787,082,949,491,400,932,747,903,754,842,729,
296,418,126,128,478,357,347,563,961,099,321,759,255,045,409,292,580,015,270,
646,373,349,797,010,285,010,499,176,096,477,476,726,489,403,036,349,659,649,
284,286,533,189,282,402,757,936,671,894,309,748,460,352,705,796,962,798,668,
327,258,327,244,578,523,259,237,007,634,504,122,169,082,788,543,351,197,257,
347,193,701,961,703,816,514,204,301,757,955,560,714,798,807,519,345,838,762,
902,117,732,665,183,948,297,386,109,605,063,221,018,785,089,475,175,891,889,
752,369,785,686,059,971,978,635,863,288,857,683,157,224,687,498,444,298,128,
524,770,159,629,379,365,367,586,074,793,902,096,377,756,441,246,769,645,952,
915,547,603,392,231,832,414,129,053,696,736,441,803,557,794,241,983,368,220,
834,347,859,736,500,306,197,957,754,580,555,030,632,861,778,447,447,166,231,
262,625,282,212,190,713,266,013,603,252,808,382,866,165,666,984,358,849,074,
865,434,039,941,705,376,556,309,792,400,675,163,109,129,674,352,182,895,619,
836,656,618,747,744,734,453,487,591,566,955,443,210,502,499,622,033,193,356,
353,426,584,202,097,324,577,474,600,033,733,493,989,265,343,321,034,160,712,
964,377,245,126,680,603,557,359,667,465,886,986,250,366,265,673,112,767,828,
662,138,661,925,796,503,688,432,125,240,646,472,771,117,533,887,742,100,734,
773,524,778,942,656,913,187,810,124,662,849,738,623,672,721,735,474,036,649,
015,451,445,494,388,932,535,521,289,391,984,573,300,822,886,000,272,252,023,
062,525,110,070,842,646,592,479,837,510,019,812,255,797,490,598,023,750,031,
580,107,594,509,554,554,909,516,785,773,374,473,422,099,329,657,041,630,398,
953,275,357,446,067,240,443,450,304,896,824,661,784,331,236,853,881,371,558,
217,646,567,023,670,870,824,550,160,464,831,340,009,379,946,663,467,661,926,
699,588,000,122,675,898,219,754,826,301,106,776,997,510,245,798,979,099,401,
745,747,297,309,675,780,176,391,423,523,325,104,350,586,797,158,457,611,000,
191,641,600,001,975,228,036,397,942,458,149,006,632,127,000,852,670,096,925,
811,265,295,729,163,445,664,105,235,950,937,368,648,329,651,459,884,795,515,
513,627,785,622,393,167,870,308,938,856,972,415,352,869,659,944,508,968,101,
183,606,614,147,239,745,850,529,500,324,836,114,742,206,914,536,249,261,503,
848,513,895,416,069,149,715,894,601,659,256,745,134,472,059,413,148,057,120,
966,813,879,367,000,674,195,249,111,216,041,746,766,035,628,403,014,075,093,
646,334,557,844,176,392,859,972,428,731,179,339,053,386,466,901,817,808,919,
168,034,903,013,300,109,979,834,113,696,763,456,260,153,743,707,291,406,928,
192,360,697,718,984,477,421,360,308,136,993,901,567,736,844,601,639,950,228,
556,380,800,640,991,470,893,999,837,282,359,149,404,117,234,437,093,015,858,
189,692,518,992,889,460,507,128,289,980,922,213,039,526,514,752,217,829,059,
489,822,804,810,967,887,326,540,753,350,411,356,940,449,494,715,746,208,273,
652,680,993,619,261,128,301,168,571,043,047,801,350,464,512,074,845,185,470,
546,628,200,543,987,510,436,548,079,926,936,105,628,477,568,653,515,437,988,
863,620,141,336,156,376,651,144,408,740,177,323,358,469,412,069,628,578,519,
801,029,759,412,263,062,098,841,145,867,639,386,985,350,555,011,014,831,246,
610,555,276,641,837,010,765,300,914,868,761,062,432,277,598,634,569,704,247,
901,073,735,984,124,233,638,583,517,171,629,365,956,475,368,395,295,069,109,
243,988,670,308,975,325,732,001,891,554,212,870,550,409,972,960,041,792,318,
494,352,428,567,439,740,057,585,312,969,751,405,835,078,840,189,197,045,495,
779,558,695,351,485,156,239,672,861,126,162,229,704,931,616,222,106,807,387,
429,706,602,055,990,624,269,967,780,365,587,654,835,272,874,952,289,663,651,
524,186,248,800,318,899,304,265,484,525,915,099,128,270,133,645,558,983,392,
571,343,941,915,015,749,157,000,382,818,555,794,153,311,736,812,406,953,406,
094,694,634,055,878,418,187,595,433,625,612,819,340,674,806,654,336,443,154,
507,025,312,770,437,720,508,230,194,060,358,952,350,593,942,989,019,804,517,
953,708,870,980,319,693,844,820,315,027,653,397,098,015,772,530,243,398,821,
757,675,610,474,991,013,943,848,981,218,038,687,463,322,818,064,601,556,539,
030,819,032,662,352,122,365,662,144,950,773,570,959,661,951,595,112,469,475,
046,246,951,526,241,005,290,991,510,632,667,146,954,353,008,150,674,062,723,
069,116,867,937,768,506,971,927,532,888,162,503,631,813,384,324,233,818,058,
587,413,097,389,252,835,396,684,212,412,332,890,151,926,860,111,464,451,974,
848,055,990,495,782,806,289,524,638,883,735,814,908,865,742,481,769,937,556,
625,230,004,760,943,427,312,302,268,459,794,339,185,617,349,630,847,592,634,
940,154,687,378,264,289,350,702,672,697,158,206,328,516,772,129,477,376,061,
891,244,105,981,116,485,800,942,962,980,667,338,539,942,025,799,312,548,800,
157,921,547,999,371,259,935,495,368,581,174,161,056,257,507,446,654,435,303,
411,558,235,627,802,588,944,332,346,409,457,400,405,921,258,907,416,010,536,
415,025,381,177,579,074,160,911,067,233,074,187,499,974,656,188,574,592,490,
848,999,652,283,221,701,673,762,242,982,334,411,252,524,245,265,145,608,199,
085,183,297,550,962,024,518,444,950,572,844,639,450,559,209,966,917,415,370,
678,806,360,898,164,324,785,580,057,716,145,737,443,580,132,224,322,748,936,
986,546,158,157,940,390,773,061,662,958,220,225,167,543,426,940,128,760,318,
574,977,715,439,295,769,811,902,342,779,628,525,837,540,331,757,653,973,541,
303,496,532,348,816,840,288,265,108,606,793,007,948,325,730,718,984,681,763,
653,978,529,948,294,654,233,376,394,697,652,982,414,483,299,267,560,687,579,
506,160,032,054,781,109,529,790,350,967,873,783,495,806,265,400,651,177,149,
775,931,411,477,562,569,498,761,114,511,773,272,040,135,026,924,234,555,343,
521,671,354,612,555,455,217,652,892,624,974,603,093,418,512,175,322,753,177,
676,320,476,196,311,721,148,839,568,557,778,365,752,288,517,952,226,237,965,
949,785,417,542,192,207,644,696,191,253,757,782,576,439,626,356,026,283,537,
475,148,846,312,362,033,426,792,094,428,242,393,830,431,864,606,979,334,753,
273,098,009,158,715,987,375,126,120,790,898,562,748,678,516,275,259,159,403,
652,023,984,429,985,851,451,170,854,885,303,021,353,706,842,743,433,811,561,
990,531,888,117,873,338,327,130,426,678,641,695,745,905,165,488,479,822,042,
123,906,484,206,960,004,600,462,316,717,475,784,248,249,182,596,866,547,652,
731,470,860,473,096,903,091,870,241,733,952,837,059,322,464,088,076,271,224,
424,266,426,843,149,158,785,830,626,718,653,797,200,907,972,401,248,858,991,
554,560,637,691,108,457,905,397,732,364,143,396,720,478,801,465,869,066,077,
250,016,955,303,961,973,086,187,385,391,984,805,566,334,582,275,303,201,286,
786,629,662,078,852,612,793,736,015,336,138,633,073,175,435,038,480,904,200,
941,747,422,696,050,764,451,441,976,144,937,049,399,068,406,969,758,414,774,
541,584,522,983,232,788,327,122,088,944,169,975,491,876,592,935,695,919,887,
381,130,280,210,722,384,862,552,677,786,211,042,466,531,761,566,623,854,400,
508,219,782,086,959,681,333,111,133,639,672,538,010,411,248,073,880,422,347,
428,786,204,022,585,766,118,219,321,399,726,706,721,158,294,991,861,864,091,
619,756,405,785,328,919,722,855,604,818,911,920,470,227,353,840,590,225,293,
899,868,284,582,839,993,296,215,943,091,007,433,038,034,168,707,600,335,641,
688,296,415,433,634,583,988,794,589,451,428,239,728,839,791,078,484,823,194,
060,942,722,736,427,174,826,712,996,519,831,650,789,793,542,248,454,135,370,
531,396,303,273,202,747,046,707,507,553,941,519,274,148,274,748,428,834,772,
407,156,300,358,644,873,919,445,833,973,723,762,016,288,324,607,213,621,703,
534,876,803,656,550,603,449,885,556,161,733,775,332,230,989,541,829,937,547,
780,830,703,831,896,243,066,380,057,621,493,583,089,299,015,504,771,395,516,
961,420,074,453,363,388,444,114,730,762,746,269,732,211,920,551,634,037,245,
967,457,740,291,387,658,816,369,028,320,860,637,106,550,659,001,753,268,526,
522,843,004,881,892,794,386,145,831,588,982,042,806,274,652,875,288,680,554,
578,397,045,608,357,271,390,090,958,687,088,817,525,034,299,665,969,880,045,
595,766,358,238,614,910,104,533,932,386,351,097,836,105,511,144,719,983,443,
256,005,746,547,217,555,673,799,294,465,719,009,123,915,995,214,014,071,747,
360,819,148,852,562,370,053,066,191,937,687,220,501,904,106,454,805,472,687,
166,273,403,609,559,951,032,829,780,789,861,890,702,123,059,623,940,577,224,
417,602,243,266,866,791,185,107,887,112,205,215,602,893,762,230,752,048,242,
839,464,942,181,054,041,600,849,593,145,881,298,671,608,474,091,081,450,076,
869,162,521,083,842,063,098,800,593,494,805,060,510,255,540,527,705,762,524,
818,016,179,023,064,665,800,505,336,050,905,169,234,049,365,208,736,660,549,
781,588,787,972,434,056,676,548,797,980,018,219,965,965,653,369,445,517,075,
153,221,239,217,831,572,275,883,154,491,897,086,104,793,706,999,321,793,606,
291,718,991,238,498,278,269,934,556,286,827,963,813,208,371,772,628,142,207,
254,300,520,227,788,220,823,752,366,346,493,135,089,500,270,705,238,047,850,
737,194,878,101,466,919,286,427,775,757,669,827,771,167,291,428,162,513,449,
339,897,048,827,094,950,605,273,200,745,456,285,338,152,826,205,379,358,511,
506,891,574,067,103,982,189,669,742,213,044,560,659,181,382,600,098,397,157,
967,115,980,124,882,767,717,779,152,816,955,526,778,731,392,571,944,787,992,
812,272,242,393,202,139,303,648,610,101,291,662,732,037,636,246,132,211,204,
866,425,691,368,997,864,741,149,223,898,592,049,095,670,028,329,011,009,366,
383,837,421,814,931,904,661,152,668,199,730,383,933,510,044,311,003,958,806,
822,792,406,831,302,220,346,187,082,092,781,879,216,656,245,488,520,038,595,
783,453,691,006,430,413,326,305,103,383,879,391,088,566,857,986,995,252,094,
953,122,904,012,792,739,573,779,356,193,241,389,902,654,515,931,250,157,233,
277,164,430,222,178,258,699,417,444,111,516,699,474,757,934,416,240,353,283,
409,554,297,772,879,820,022,751,134,548,491,235,763,891,249,755,709,062,814,
263,412,484,458,809,237,030,483,130,326,591,366,013,499,855,658,959,921,689,
750,422,774,918,454,631,881,479,713,426,769,611,741,220,756,256,189,802,796,
646,421,437,609,623,831,070,227,197,192,047,255,125,544,104,819,179,034,411,
345,162,048,143,281,783,634,098,890,433,855,216,391,383,422,797,266,913,674,
946,108,512,922,448,965,874,596,413,742,836,744,776,250,092,707,082,423,656,
183,852,569,643,227,369,496,994,230,159,562,918,631,554,343,758,587,795,972,
513,239,543,187,427,025,043,704,131,259,513,893,409,268,772,642,253,737,124,
643,521,456,908,132,740,102,811,010,779,337,382,917,306,203,500,720,873,123,
149,931,741,737,114,388,039,087,915,940,150,681,888,091,082,216,194,171,163,
662,590,838,902,824,058,879,132,016,622,810,422,129,047,357,673,239,104,077,
553,090,906,557,836,500,304,984,687,370,763,358,291,293,096,861,741,023,167,
276,345,022,569,336,208,784,325,535,148,834,693,694,755,927,569,995,364,982,
788,963,364,602,885,901,098,096,357,966,994,886,995,783,333,500,854,733,282,
811,277,152,858,780,081,917,685,480,143,473,759,538,965,688,407,044,053,836,
368,888,672,147,160,281,983,773,712,285,656,735,155,000,694,282,661,958,985,
740,175,131,744,937,399,950,868,343,595,076,942,944,854,737,428,294,278,295,
509,385,610,600,235,463,219,889,400,938,531,825,893,178,774,079,678,614,974,
602,958,558,806,712,261,791,613,308,271,801,920,359,084,484,538,221,989,027,
850,610,620,487,006,934,417,188,880,626,421,122,445,847,819,949,826,248,747,
607,334,777,189,725,185,322,095,212,889,082,405,470,510,363,472,656,111,789,
763,695,335,057,389,835,993,776,601,929,331,159,964,608,433,649,403,942,876,
880,785,976,810,690,117,415,887,582,296,787,519,558,739,251,178,059,187,750,
078,998,517,333,682,037,781,761,565,032,937,988,078,127,247,164,769,978,845,
449,357,442,140,208,535,657,203,297,478,461,548,762,319,021,958,159,673,092,
755,825,760,663,167,350,423,110,991,531,743,604,281,533,505,600,938,951,301,
586,280,003,370,023,440,657,132,647,173,366,693,762,207,674,224,651,401,769,
015,439,025,315,484,596,572,639,876,253,614,052,706,432,088,484,377,808,329,
309,861,223,882,041,406,152,528,935,555,714,491,810,146,747,123,707,142,174,
439,783,669,994,792,002,824,917,000,174,477,072,843,922,214,555,753,230,323,
406,941,651,359,253,358,313,635,070,925,037,363,162,613,163,554,354,719,080,
736,426,577,795,265,364,702,934,677,235,852,466,145,287,174,953,740,133,404,
979,077,789,928,140,149,578,870,622,981,709,322,860,215,412,162,928,085,048,
343,727,157,773,208,553,661,256,438,659,465,716,936,597,549,530,422,917,850,
825,808,006,122,140,467,247,512,712,745,254,549,049,780,884,180,681,062,128,
834,471,484,695,598,418,549,929,450,465,538,600,420,761,837,623,758,141,877,
372,285,921,896,786,362,698,994,188,274,926,332,545,399,098,087,276,065,706,
536,543,154,047,924,129,936,565,888,474,244,128,458,670,383,378,492,910,437,
164,769,752,398,644,099,361,677,067,258,149,409,809,766,845,281,716,397,279,
360,557,305,064,145,436,173,418,282,486,157,725,293,963,686,509,830,014,729,
656,665,691,337,437,463,569,189,729,168,097,476,455,945,944,053,775,370,050,
472,530,755,966,449,180,567,487,615,250,397,824,373,454,318,374,220,198,609,
169,813,305,301,170,413,258,748,664,959,914,017,634,500,063,975,847,880,056,
804,062,691,946,708,915,952,685,519,132,690,092,290,095,325,678,105,540,478,
992,819,050,474,766,834,715,963,658,416,291,033,772,956,061,701,030,494,767,
909,868,582,095,224,740,523,386,582,754,147,779,558,454,104,982,598,591,109,
613,430,426,572,021,980,945,737,858,775,352,587,803,417,142,112,076,122,481,
804,677,353,847,449,635,482,633,452,749,157,791,888,025,368,220,008,912,809,
747,484,225,731,414,757,023,299,807,168,628,650,493,198,955,285,155,941,298,
864,355,139,973,929,725,979,443,767,798,330,648,125,780,090,733,481,269,257,
291,463,328,339,709,891,918,893,541,361,476,463,734,659,332,746,012,499,967,
745,192,465,882,218,584,016,560,710,373,155,835,011,868,859,981,711,260,092,
552,359,080,300,940,713,807,297,046,972,439,435,301,423,837,830,245,941,568,
933,936,312,724,476,510,829,847,232,676,290,930,415,837,408,829,041,676,631,
867,179,633,702,049,509,261,198,594,877,641,929,101,959,905,251,265,276,620,
244,203,954,775,986,666,728,535,333,270,149,605,502,476,965,010,681,815,507,
536,478,731,889,068,612,393,098,785,518,837,827,500,897,318,445,932,838,196,
860,096,631,584,487,480,686,889,561,495,632,154,620,716,635,273,803,010,895,
071,530,648,864,794,711,155,603,553,328,022,902,654,662,823,594,802,344,580,
009,043,068,712,762,503,941,511,154,299,573,985,032,621,460,898,655,652,219,
364,821,377,845,084,890,123,626,780,545,486,125,279,008,011,078,089,955,650,
490,260,204,645,079,429,675,003,300,009,314,085,495,549,726,132,834,751,500,
939,477,722,380,777,601,117,346,549,559,596,505,801,389,548,355,638,092,580,
723,976,089,013,091,435,802,812,977,799,184,500,220,674,110,991,325,517,261,
177,349,237,117,072,812,648,062,550,349,183,270,666,992,371,858,063,104,599,
472,392,441,507,150,184,022,685,380,675,925,272,960,310,818,918,477,219,434,
892,211,402,772,493,367,336,298,435,679,067,662,280,256,188,806,443,881,379,
252,575,218,955,152,304,752,366,236,912,870,512,051,698,230,973,779,386,711,
814,842,132,293,614,044,064,440,051,377,133,065,707,737,624,495,008,930,907,
564,354,136,950,761,056,390,382,337,307,453,083,988,906,104,046,640,719,282,
256,680,885,896,694,135,127,324,262,802,461,554,486,226,614,163,019,260,255,
157,023,863,541,379,035,647,105,530,413,803,120,598,309,448,456,013,004,387,
161,332,354,662,105,781,756,192,721,231,781,716,051,032,791,576,594,248,783,
964,995,699,427,233,088,091,700,814,897,572,161,757,264,334,866,307,030,830,
431,242,224,106,693,656,042,692,109,694,414,155,241,421,071,389,943,529,550,
908,319,062,968,137,473,870,264,584,508,021,250,263,108,353,240,901,980,773,
968,989,122,988,211,131,827,946,686,589,537,803,430,190,953,116,614,932,925,
162,540,532,044,945,627,925,821,636,780,547,920,116,638,978,053,643,955,892,
331,103,138,212,575,103,744,319,157,859,578,150,112,291,896,912,614,321,147,
554,859,748,364,680,732,975,104,455,701,173,670,668,603,984,792,866,990,442,
644,225,904,534,609,704,507,336,854,925,316,434,524,997,735,637,477,775,443,
043,927,594,398,630,813,974,661,056,865,281,483,821,222,314,056,563,799,075,
646,363,067,270,318,981,642,748,676,030,589,373,876,299,073,353,164,940,793,
583,729,257,526,874,778,693,067,456,823,190,343,226,793,037,383,339,197,455,
932,166,893,028,886,241,089,306,705,878,031,695,994,462,816,921,438,119,433,
046,365,658,218,313,467,048,077,257,107,909,443,570,769,544,508,237,556,608,
186,753,804,257,602,335,246,115,507,343,315,721,082,501,605,859,158,552,875,
634,226,491,477,817,445,304,185,988,923,273,452,997,039,097,442,838,778,191,
272,803,709,491,403,822,552,796,135,299,454,901,666,371,696,387,562,022,715,
110,117,167,757,777,045,016,659,500,415,199,097,308,108,388,420,556,762,303,
292,713,696,512,529,609,714,069,072,655,787,654,499,837,746,672,863,143,300,
560,183,800,484,445,827,104,751,821,879,915,628,442,177,219,705,354,116,739,
611,734,715,035,060,226,163,831,139,568,977,803,585,842,357,793,600,931,679,
205,605,491,563,179,423,256,897,218,411,602,170,631,590,185,582,816,768,701,
010,992,191,500,193,387,384,163,906,619,900,226,612,535,248,449,952,969,052,
913,895,893,476,769,349,598,200,365,679,295,189,668,695,811,760,948,911,493,
834,821,367,575,383,341,549,381,305,463,917,634,896,067,291,699,362,509,250,
979,653,021,904,102,944,648,832,759,781,151,183,358,798,153,397,496,446,735,
138,696,994,189,179,810,174,211,705,653,194,034,375,386,268,433,948,066,618,
707,507,492,589,595,932,111,436,626,221,980,880,518,906,812,576,017,559,483,
432,360,751,622,660,599,170,007,636,082,828,065,174,612,373,684,435,357,454,
369,888,038,820,647,041,995,515,947,234,608,711,808,985,203,238,871,199,283,
494,299,846,588,314,624,089,978,342,080,096,645,438,126,960,339,790,614,961,
795,666,649,193,650,279,686,810,480,256,474,127,491,182,009,843,572,758,653,
435,895,436,431,102,147,354,877,110,229,909,695,332,236,941,974,008,073,270,
973,698,722,869,410,941,597,270,887,209,881,787,233,353,426,922,524,425,103,
781,909,710,477,782,637,308,013,436,639,958,132,214,677,187,779,612,509,428,
522,355,288,037,086,626,891,253,956,401,185,331,593,081,826,064,223,879,480,
249,090,770,196,433,425,012,115,364,925,241,315,921,660,491,354,743,906,483,
692,197,211,523,850,085,378,151,658,698,150,924,284,631,633,616,416,257,715,
445,153,870,950,390,342,790,556,406,710,322,529,031,472,933,309,384,153,100,
922,580,965,696,601,944,322,298,011,422,554,199,882,712,373,047,822,542,815,
791,624,239,132,576,043,451,438,854,878,164,854,048,614,639,829,514,600,678,
617,159,303,415,079,105,720,816,631,656,897,837,312,514,574,813,541,630,541,
012,513,935,781,740,958,389,353,087,182,711,356,922,370,372,565,338,881,644,
088,146,744,058,378,933,394,827,637,107,275,566,558,005,308,748,145,591,744,
272,022,685,015,471,503,135,622,126,999,966,972,065,577,318,247,913,778,632,
109,816,796,352,475,485,666,156,213,757,074,406,330,395,164,460,615,363,627,
623,251,282,994,269,067,804,473,368,304,723,984,328,012,961,117,462,451,100,
998,311,535,660,745,453,921,665,334,317,290,748,697,563,459,606,079,929,574,
650,449,383,108,326,232,618,005,128,709,714,404,463,867,953,837,107,247,475,
231,224,587,976,179,831,868,813,587,912,299,311,660,872,882,374,516,925,803,
542,616,768,878,700,732,178,209,334,168,746,536,481,796,485,595,730,818,715,
426,796,596,128,628,225,977,020,962,267,302,570,755,315,958,193,367,029,815,
275,605,727,973,512,098,653,990,899,686,742,867,921,698,645,275,329,710,336,
885,748,886,599,646,831,781,029,045,314,140,674,398,889,695,634,426,804,902,
596,755,281,126,004,181,457,109,126,012,612,487,679,465,461,239,734,292,520,
079,710,131,318,345,492,676,376,051,862,858,245,952,507,291,685,271,162,552,
269,483,386,940,070,658,846,368,965,125,433,450,675,971,821,591,393,821,107,
712,761,861,168,205,962,664,563,221,540,256,784,158,118,736,131,864,351,978,
926,984,783,856,868,966,933,655,557,532,699,146,858,637,286,846,801,655,452,
616,572,834,033,500,435,905,363,497,522,031,871,251,554,838,493,949,003,963,
503,080,465,551,766,646,471,352,319,111,820,672,385,539,568,892,628,180,058,
695,045,476,325,013,105,989,321,184,964,099,225,755,323,987,326,793,941,545,
402,357,163,689,659,797,001,088,674,381,251,410,449,959,527,344,450,503,639,
762,280,278,660,065,424,423,005,780,550,395,836,073,415,283,932,286,819,505,
058,966,476,862,266,398,670,185,396,726,436,556,077,200,131,289,913,500,033,
805,382,409,251,058,290,455,155,888,155,795,302,851,932,692,571,628,819,051,
401,995,243,017,540,549,384,909,354,810,706,072,021,971,379,504,319,540,152,
795,917,870,381,493,379,126,714,821,602,709,721,480,780,789,183,783,319,805,
782,381,975,009,544,384,059,976,283,079,287,346,858,359,012,037,059,910,633,
854,343,876,763,007,166,072,610,716,549,128,050,858,573,292,432,634,019,699,
606,574,929,279,670,673,240,127,479,078,734,040,409,857,104,632,526,437,704,
251,169,002,873,659,506,405,856,587,852,304,554,448,238,842,427,083,404,199,
451,180,299,899,009,666,940,708,437,063,392,261,427,900,341,619,130,762,757,
679,561,686,038,149,506,787,675,746,032,475,594,442,199,075,336,093,452,158,
183,235,312,725,309,672,658,981,768,147,348,818,996,490,772,586,856,979,942,
378,123,991,413,059,024,889,499,355,056,809,126,589,919,047,737,976,201,780,
241,900,671,986,187,802,274,923,265,547,602,713,365,663,440,304,697,691,449,
846,781,785,578,417,886,185,304,834,645,782,629,150,307,059,968,427,619,296,
682,793,106,348,037,274,808,869,390,804,891,518,082,211,988,804,467,301,688,
343,677,283,872,360,683,774,491,207,171,177,685,091,086,355,676,891,712,089,
253,182,369,774,696,662,710,633,327,093,382,340,402,150,768,043,172,052,386,
129,961,322,512,369,513,137,978,457,719,582,725,647,083,868,789,584,249,059,
014,876,547,178,719,018,324,795,628,193,414,939,544,274,352,711,447,168,660,
794,130,280,860,506,734,813,705,784,566,200,076,817,412,785,745,093,142,468,
506,676,340,231,195,077,598,692,416,143,200,992,970,720,713,907,838,308,757,
329,152,133,806,610,384,485,612,568,493,334,660,065,010,463,923,589,678,177,
342,872,637,865,242,705,762,337,702,903,040,719,013,695,763,148,795,861,875,
620,537,683,780,002,045,144,049,544,945,333,188,808,748,124,317,795,603,475,
850,012,427,028,677,368,679,064,743,477,755,389,277,917,162,612,073,832,825,
361,278,885,717,092,559,740,830,114,504,757,102,954,278,327,622,015,641,621,
210,761,242,869,362,320,176,467,617,420,603,592,772,727,783,114,704,728,593,
371,361,244,969,744,453,173,671,440,957,195,508,802,506,159,924,374,102,790,
754,725,930,289,338,030,727,451,148,550,555,496,449,580,223,014,354,370,964,
230,503,233,389,108,462,632,099,667,338,140,085,803,723,661,278,616,449,422,
910,954,539,168,720,174,123,278,702,705,709,281,453,033,634,183,384,055,352,
939,089,538,961,460,714,849,138,811,897,048,591,261,457,257,791,435,275,965,
416,053,738,911,677,185,077,979,946,636,849,183,023,551,357,337,092,104,300,
215,901,524,100,356,211,564,284,320,717,725,215,302,733,333,131,384,128,950,
422,735,903,336,814,154,526,440,635,494,771,696,417,297,665,271,137,345,257,
165,824,243,027,342,016,413,382,013,585,890,930,911,332,313,173,816,656,797,
620,183,492,444,936,803,513,815,535,421,316,511,696,478,617,290,909,267,890,
744,584,828,049,353,106,662,382,600,559,843,195,619,443,698,786,132,197,004,
773,200,594,257,671,066,694,514,997,409,817,247,330,516,417,650,575,489,754,
907,795,562,403,772,354,264,017,951,585,450,678,405,981,899,361,277,200,847,
161,935,884,643,877,890,246,452,820,339,969,869,274,424,944,610,276,894,712,
672,463,111,547,513,095,981,517,871,170,801,389,185,445,803,752,114,884,898,
188,099,950,843,626,411,047,690,944,718,595,918,715,948,931,798,513,974,682,
172,937,968,371,293,685,085,243,341,335,178,934,221,131,540,039,353,159,584,
093,314,911,696,090,119,047,731,697,402,181,155,964,326,865,719,928,743,704,
345,353,651,407,465,604,764,650,528,266,073,806,034,392,739,385,478,693,339,
953,858,981,216,343,822,527,251,507,040,903,119,781,846,204,409,751,138,629,
884,133,079,488,098,429,987,828,153,106,172,199,811,531,237,116,193,898,056,
775,116,513,751,804,751,455,672,658,184,158,820,075,277,415,154,097,009,736,
369,988,906,980,467,488,280,418,380,057,954,986,599,995,967,273,301,903,463,
035,225,647,679,578,599,212,942,964,865,497,980,001,206,118,134,420,065,679,
699,102,997,882,737,691,217,484,096,006,688,001,314,674,559,140,927,062,303,
408,597,718,582,696,962,498,820,922,449,907,716,345,438,375,061,138,903,055,
844,368,272,597,325,173,415,806,333,930,845,761,933,544,951,414,281,007,808,
456,991,740,164,603,749,249,268,593,894,638,163,966,189,577,924,600,120,428,
113,249,862,718,871,923,289,328,271,123,617,475,753,750,533,441,356,424,271,
795,699,559,173,587,189,232,925,765,808,704,980,106,762,367,107,041,048,116,
546,413,734,499,951,439,767,168,243,006,488,771,069,754,369,340,382,634,269,
320,706,870,969,758,193,247,606,451,850,579,262,443,597,196,173,780,612,034,
346,173,269,188,544,752,080,752,272,114,356,113,412,902,067,491,173,053,240,
210,387,617,211,397,326,168,344,252,725,753,730,429,159,621,374,940,357,683,
329,060,261,752,734,618,825,779,295,745,773,045,754,346,466,674,606,750,677,
571,063,867,258,006,411,857,826,992,321,627,784,644,389,568,359,027,773,683,
414,442,227,083,027,885,172,754,138,866,582,962,814,251,149,574,959,272,906,
078,113,134,331,317,793,097,891,410,699,768,476,438,562,912,178,769,827,126,
153,849,814,704,692,753,810,715,618,828,920,234,445,780,808,743,319,654,885,
129,245,274,492,500,483,221,350,322,324,993,662,722,492,022,382,663,392,810,
236,100,215,714,402,048,563,568,299,263,070,895,024,995,874,993,715,103,746,
668,495,457,126,421,336,092,426,856,237,076,874,335,566,342,547,893,302,180,
651,998,489,131,879,760,839,908,756,547,477,884,007,396,712,745,871,364,536,
897,559,769,479,077,721,232,499,397,966,359,781,184,735,320,755,145,497,258,
180,787,457,784,275,461,459,494,552,125,601,440,551,791,262,396,915,541,043,
329,330,805,373,709,791,187,832,416,252,668,389,893,234,874,380,896,990,950,
024,108,187,406,094,380,941,276,138,893,646,580,947,807,594,225,650,425,404,
283,987,632,332,310,233,822,463,435,395,649,567,931,260,314,086,761,887,821,
118,607,991,754,529,966,779,066,814,751,684,930,559,402,482,829,754,376,259,
266,703,761,078,675,422,727,100,059,867,870,089,320,416,689,918,341,651,061,
495,308,321,314,758,456,914,683,984,218,676,280,737,481,917,540,072,272,403,
814,265,448,878,489,127,406,751,675,288,649,489,182,865,031,591,262,777,536,
640,845,962,543,989,010,633,094,100,441,106,204,421,981,186,045,626,620,719,
940,936,670,257,732,469,747,709,804,285,533,201,206,079,394,729,949,502,487,
228,453,920,515,231,443,939,377,637,435,821,300,126,231,772,736,412,618,683,
150,454,144,839,130,989,032,144,356,856,964,905,877,894,770,953,095,384,344,
458,531,085,135,514,804,133,874,308,589,258,549,139,146,739,787,923,524,840,
389,581,867,829,728,422,951,987,519,825,783,076,378,555,277,297,183,950,641,
420,998,533,726,428,753,377,814,134,690,238,656,914,760,068,529,518,439,682,
375,335,254,307,593,023,944,613,757,382,617,074,875,528,383,854,848,239,767,
899,384,533,370,705,174,779,151,546,738,838,111,494,276,514,870,741,424,251,
740,941,827,669,449,282,608,857,833,502,064,134,410,944,328,799,004,371,209,
994,229,443,704,620,629,384,656,960,143,998,243,657,037,949,632,385,178,356,
269,701,741,698,171,076,738,325,917,344,537,485,827,224,722,183,434,366,101,
104,104,477,924,505,915,272,860,529,470,350,947,182,525,297,197,818,691,838,
275,151,311,618,980,650,271,736,958,783,741,389,423,758,030,710,940,907,681,
124,528,920,229,948,296,781,392,071,429,857,636,514,388,320,047,673,041,463,
805,083,545,705,254,125,155,154,987,271,974,797,877,479,150,525,615,605,955,
162,261,625,620,759,634,743,061,129,798,467,456,293,903,015,360,121,051,299,
221,105,481,787,806,095,066,764,720,414,952,235,596,112,415,456,833,416,559,
364,791,118,666,465,603,517,058,205,258,973,462,766,324,356,694,143,297,521,
891,482,970,746,489,867,080,117,516,325,794,203,393,428,756,160,008,626,622,
802,965,596,656,788,956,284,045,734,276,220,062,602,788,006,259,071,078,186,
066,757,202,107,010,067,137,445,569,902,546,213,093,817,215,179,418,740,950,
376,287,706,041,421,583,704,111,991,754,698,464,776,695,493,989,524,896,933,
672,658,458,669,582,954,250,961,890,270,808,205,404,110,643,238,813,300,925,
731,231,578,829,559,730,449,374,791,853,873,576,439,487,811,796,891,581,957,
447,078,235,037,782,126,802,623,473,780,434,038,040,922,327,359,893,865,465,
829,465,872,321,583,518,082,801,926,019,294,665,455,869,402,105,656,120,958,
125,065,640,311,509,253,488,828,512,008,467,030,367,586,962,058,511,598,754,
132,253,341,001,683,134,906,615,169,432,473,098,788,583,231,784,225,194,680,
488,670,772,878,206,654,009,227,145,230,258,083,166,567,606,157,255,537,029,
792,032,187,781,967,436,532,767,498,366,720,762,800,773,309,405,776,568,710,
139,096,349,498,491,025,726,863,920,726,166,467,466,805,327,526,794,536,226,
523,924,685,362,037,770,009,155,045,874,921,484,852,967,417,590,481,304,039,
614,801,695,501,595,443,777,513,145,200,431,468,429,517,652,729,315,214,549,
064,862,984,781,011,095,160,333,746,934,961,088,152,603,015,423,074,545,485,
424,184,664,374,831,964,190,462,087,505,564,668,948,758,424,258,297,997,124,
545,227,853,146,782,069,463,720,939,411,213,986,898,255,231,504,454,304,467,
684,886,364,566,230,453,713,807,242,163,136,903,642,525,025,858,317,623,957,
305,824,834,676,452,862,810,809,813,805,206,568,007,908,746,311,799,023,403,
247,321,242,600,416,586,345,970,252,475,217,929,977,923,386,467,252,702,609,
549,956,102,297,377,297,696,406,883,400,570,888,369,068,097,346,907,622,516,
594,764,647,975,450,682,475,051,362,005,976,602,970,083,994,309,611,131,317,
794,085,029,952,672,733,829,373,416,758,234,881,366,628,596,190,952,864,783,
742,490,638,608,530,742,745,441,735,110,358,224,398,191,294,453,320,196,493,
600,570,985,599,815,192,815,370,821,650,874,310,659,420,318,332,741,771,248,
283,183,524,846,176,530,165,839,910,106,731,268,144,949,898,501,882,375,393,
714,531,112,247,873,470,506,033,453,192,743,426,216,144,059,654,207,251,490,
284,118,405,922,694,489,561,179,383,553,095,762,868,050,752,009,079,629,779,
341,133,592,659,568,417,449,919,496,170,000,630,101,009,997,556,121,795,566,
649,477,105,538,812,622,969,710,078,829,540,778,024,921,958,447,980,797,023,
104,271,880,787,791,313,846,504,232,401,575,892,092,188,799,744,528,066,526,
369,915,132,644,635,512,699,971,452,938,108,855,041,945,351,869,880,352,711,
527,292,805,970,068,650,665,919,826,242,414,107,451,443,721,925,036,615,231,
935,673,771,531,258,937,495,970,815,622,071,800,599,779,419,798,178,880,521,
784,139,907,624,399,624,644,538,330,865,750,517,569,804,138,392,485,512,855,
267,821,956,868,311,745,539,646,391,770,427,823,570,464,490,253,014,294,985,
958,054,349,552,287,352,800,012,938,069,552,682,886,128,854,405,114,847,844,
379,688,246,138,776,738,809,427,552,367,785,882,702,993,447,911,901,361,499,
958,616,037,308,658,878,705,689,561,998,804,666,055,459,709,336,452,308,643,
276,045,312,622,699,672,670,373,732,076,617,096,947,237,047,917,397,373,412,
737,612,170,553,066,404,476,346,809,744,383,386,477,181,936,737,484,739,484,
036,411,080,496,389,826,599,994,433,798,899,718,838,115,195,390,314,297,752,
506,360,040,845,285,334,706,221,567,556,025,545,060,591,848,709,218,612,077,
682,871,142,252,649,413,350,976,686,526,652,779,762,447,066,798,088,946,267,
775,264,256,449,429,351,918,825,986,853,174,979,626,001,976,952,679,051,153,
406,371,086,718,302,950,110,208,768,140,654,167,809,833,425,773,369,944,913,
540,613,480,623,161,430,131,944,769,617,582,282,256,716,143,380,959,073,170,
929,928,942,365,226,162,209,574,230,376,721,785,945,435,519,530,647,449,164,
542,500,128,647,986,402,556,185,885,321,751,173,246,488,424,158,516,139,633,
704,787,762,136,176,694,222,507,612,448,616,395,690,856,341,950,055,291,466,
204,308,410,629,072,358,231,306,327,730,607,153,216,746,247,917,241,691,943,
045,807,562,093,736,736,173,408,333,565,055,428,114,211,160,360,585,483,943,
251,039,033,320,969,291,000,234,317,749,159,385,028,362,826,385,107,384,681,
676,860,817,090,905,521,311,757,829,664,984,821,087,130,822,180,891,138,238,
919,488,723,317,124,147,720,022,327,874,633,028,569,386,707,149,433,587,277,
128,448,716,414,123,705,697,267,521,457,609,037,636,449,826,965,630,980,406,
572,080,430,920,829,921,780,335,679,081,339,481,330,502,183,565,473,428,563,
805,861,764,094,445,188,764,362,088,557,944,840,176,022,128,168,793,070,069,
966,672,963,418,230,634,834,095,084,258,931,373,465,285,998,103,281,258,110,
834,588,679,163,640,833,273,811,552,785,798,514,400,689,858,504,900,199,805,
392,715,731,375,737,279,172,842,526,191,549,029,769,053,988,983,594,138,307,
664,553,243,658,471,701,609,177,347,859,156,280,371,387,367,963,526,695,981,
239,346,144,386,735,250,182,411,067,476,377,462,089,894,713,570,273,584,188,
197,491,009,624,373,028,415,874,395,742,962,977,750,774,295,183,014,043,620,
915,728,042,354,508,047,252,607,596,574,188,221,616,925,431,137,729,703,752,
163,697,212,049,364,380,180,373,315,587,564,837,522,044,328,287,696,553,236,
434,794,576,240,381,748,138,674,296,991,721,213,495,466,491,871,601,039,819,
815,634,763,225,664,122,700,053,389,846,988,665,757,170,764,534,131,123,354,
491,105,969,851,960,096,803,923,531,406,323,436,777,766,771,848,419,089,244,
506,475,454,077,371,771,655,332,800,717,703,025,997,218,854,719,751,582,051,
961,294,330,683,317,930,058,333,369,017,735,072,804,465,495,668,403,936,400,
804,192,768,401,834,482,043,961,919,999,694,309,035,145,249,114,426,023,841,
116,328,200,552,871,753,431,118,274,986,654,717,700,211,744,244,122,002,635,
861,769,056,660,701,535,944,144,824,782,614,893,163,113,320,840,523,566,958,
334,842,897,772,770,030,032,864,616,020,136,037,331,442,288,343,291,112,431,
128,244,526,100,141,064,232,294,074,985,524,524,930,630,727,486,058,500,474,
759,139,653,830,221,563,778,927,214,419,037,894,723,278,651,205,361,900,521,
327,584,925,577,712,298,284,772,641,224,043,847,444,732,501,337,498,090,730,
791,732,036,353,690,893,149,932,109,659,273,107,610,542,034,131,872,657,453,
534,937,533,713,126,666,055,223,064,764,823,408,328,497,853,006,180,610,735,
626,118,288,259,465,833,745,960,559,049,816,998,232,703,749,501,766,332,078,
372,912,144,119,328,135,433,318,141,630,366,185,198,056,378,431,461,834,401,
308,198,704,743,597,650,266,443,858,499,250,366,435,669,627,865,770,447,754,
616,629,347,375,479,346,183,431,216,521,724,000,487,628,992,987,176,472,665,
625,628,337,858,677,095,283,289,482,465,183,220,669,602,238,130,037,589,703,
183,086,295,739,029,361,254,653,189,766,785,218,102,931,488,823,605,437,778,
076,517,137,765,011,964,585,645,548,578,749,539,196,560,006,095,490,547,018,
665,633,024,024,313,307,368,967,283,839,090,819,119,255,274,251,285,946,560,
876,050,188,571,916,034,492,005,816,153,263,182,195,773,245,616,375,557,183,
317,621,741,034,580,164,007,409,678,283,739,726,705,344,712,562,184,009,712,
954,317,757,016,757,790,327,354,335,046,036,568,174,836,793,415,263,726,835,
543,504,209,107,447,583,950,087,615,188,981,793,766,378,651,451,546,912,132,
945,563,574,710,735,369,621,959,243,555,634,935,991,199,776,552,783,375,427,
405,675,846,647,624,671,389,190,310,955,372,114,556,899,249,988,630,392,916,
183,949,831,073,283,936,018,865,951,373,388,883,113,087,088,624,936,061,585,
531,428,830,464,883,871,768,494,073,034,507,550,750,335,876,429,824,137,919,
091,937,347,871,187,404,535,011,041,336,529,107,798,033,763,503,579,368,460,
783,238,121,275,912,598,563,431,497,925,547,320,497,533,752,437,963,177,772,
413,810,159,995,390,238,692,070,672,605,485,375,115,921,779,155,836,772,601,
629,988,722,499,478,636,054,116,335,961,451,336,480,508,662,724,105,585,098,
060,586,857,014,902,578,748,429,667,664,625,613,290,002,855,468,076,237,712,
701,806,613,082,371,237,060,700,917,879,684,882,626,061,824,604,592,488,916,
620,337,559,991,030,234,211,666,235,547,440,757,290,298,823,901,059,317,446,
260,740,668,676,491,031,690,849,863,723,766,291,755,180,106,242,514,663,736,
268,225,510,712,224,403,928,935,597,445,427,043,063,176,045,597,210,170,854,
481,919,349,237,303,483,710,839,798,223,406,349,364,085,630,984,832,201,234,
922,423,750,669,327,204,768,174,849,461,499,014,176,643,372,604,236,742,857,
841,180,773,444,065,907,652,886,062,602,980,583,945,323,945,714,570,207,609,
283,578,586,124,321,814,055,252,578,866,574,087,011,610,297,681,741,278,928,
751,587,632,019,392,554,115,454,279,726,295,084,441,169,383,207,799,034,191,
793,063,014,549,423,140,055,912,183,552,913,672,241,038,855,762,830,574,504,
550,588,795,051,322,995,408,032,167,479,103,279,280,631,908,138,531,885,008,
733,792,781,294,141,060,763,704,670,922,105,590,558,874,213,746,833,351,888,
430,142,132,802,671,271,282,158,139,203,279,040,806,569,049,860,339,859,458,
422,989,634,869,678,376,288,011,440,198,269,348,019,315,857,392,547,065,746,
389,961,752,151,585,441,611,526,557,400,665,961,223,493,856,589,460,554,490,
236,152,990,576,146,769,561,798,980,778,381,854,592,663,512,107,014,358,584,
752,916,793,139,282,972,426,193,423,785,282,010,176,989,144,371,549,493,368,
896,695,481,989,886,348,693,635,456,184,146,005,822,442,068,185,747,147,027,
701,780,753,568,040,051,541,357,265,522,518,062,178,108,988,616,067,809,813,
475,725,481,498,063,333,632,043,134,643,683,435,322,950,092,609,162,572,234,
542,095,571,162,405,080,180,289,304,648,382,730,396,007,527,893,285,194,778,
113,362,376,989,909,219,012,041,513,626,893,735,800,939,826,668,693,501,418,
603,746,073,711,145,567,030,489,539,889,000,803,352,070,084,303,177,037,624,
853,176,489,886,297,897,413,252,528,665,188,552,203,205,109,472,887,478,367,
905,299,834,234,371,741,002,326,998,344,860,552,148,974,682,182,166,589,613,
558,575,843,893,243,260,448,980,284,296,995,581,938,897,030,920,782,813,761,
735,667,136,429,771,103,195,511,802,132,354,943,763,413,540,258,990,362,338,
111,002,163,547,629,294,689,615,964,091,287,963,895,766,006,281,114,396,850,
184,691,330,622,212,864,449,957,796,133,202,077,153,332,244,817,682,511,413,
762,533,254,383,120,407,006,053,514,970,222,240,618,373,088,339,173,174,309,
003,359,577,213,799,295,620,514,889,079,824,729,299,424,438,199,353,616,836,
594,030,852,703,248,779,901,600,197,565,069,860,264,131,485,219,010,906,264,
736,300,841,277,519,674,465,657,098,561,106,337,075,302,728,376,331,817,968,
964,794,673,704,844,424,518,702,298,951,215,978,797,100,265,545,489,582,336,
880,044,507,112,420,129,032,269,703,752,018,160,070,088,122,778,199,699,079,
763,319,133,134,937,200,205,284,560,441,022,442,373,460,030,766,250,403,362,
219,657,884,472,716,595,938,329,291,558,653,120,040,408,070,827,780,371,039,
717,775,384,041,675,780,943,847,998,911,931,013,115,031,496,048,553,414,686,
753,429,895,473,527,117,888,270,415,041,846,867,108,935,793,773,243,376,677,
604,255,511,924,143,985,374,518,072,445,947,245,957,104,389,719,643,076,877,
273,340,811,792,011,251,226,678,287,532,220,753,669,477,698,568,993,202,019,
078,687,551,191,479,333,499,927,169,379,750,925,509,738,236,217,215,088,400,
784,990,105,653,161,447,747,008,858,287,294,929,191,014,579,642,015,469,121,
421,516,016,257,474,114,916,106,255,438,589,137,343,554,686,694,993,577,852,
260,487,009,644,467,342,156,704,883,455,622,259,276,964,436,424,322,859,736,
721,951,327,222,277,506,827,236,119,749,964,374,128,582,367,488,423,608,590,
656,413,505,664,953,613,834,709,778,501,820,403,665,818,930,075,288,228,513,
744,014,945,221,921,642,015,236,316,871,185,697,845,037,979,338,874,096,328,
896,342,659,553,893,664,265,934,441,316,679,678,234,429,634,737,410,965,917,
754,264,897,391,009,511,610,610,978,204,706,949,852,331,449,534,042,722,082,
139,609,244,315,015,313,197,120,586,879,659,509,435,635,741,478,266,805,574,
539,697,891,393,389,593,779,970,367,316,710,313,324,793,594,766,885,993,543,
124,173,297,040,454,755,477,157,980,792,781,229,378,046,231,574,361,499,973,
067,857,690,033,569,825,348,800,884,345,588,992,540,812,365,092,631,343,735,
406,845,545,396,089,870,254,395,632,270,190,211,489,223,985,016,156,875,737,
294,448,373,837,301,954,312,451,122,018,465,055,968,718,336,157,097,559,501,
780,109,637,045,273,530,358,400,589,894,307,597,745,681,750,588,778,161,504,
166,689,781,253,736,701,749,755,690,590,995,460,106,422,442,940,828,434,939,
382,261,169,884,677,527,811,258,244,487,943,641,930,372,860,538,710,219,563,
502,134,788,829,353,229,309,870,800,082,084,713,937,902,362,163,879,657,958,
158,820,453,132,664,161,692,057,497,962,305,299,261,353,130,775,933,206,162,
923,479,680,054,421,942,501,689,435,117,246,163,226,737,493,980,806,867,164,
597,085,597,457,155,819,566,298,266,732,795,067,519,156,645,926,007,673,321,
358,282,686,000,393,118,990,636,291,036,142,087,625,509,659,193,507,636,258,
029,840,169,176,118,644,455,339,599,549,449,177,795,857,224,314,673,891,873,
311,227,706,469,362,477,075,759,188,224,290,003,327,698,214,537,625,365,737,
801,043,461,331,970,421,208,933,296,282,364,734,196,717,217,223,572,670,526,
136,509,649,733,776,148,259,791,091,988,515,904,449,017,292,575,083,260,440,
184,588,537,447,324,220,966,844,047,065,061,240,884,995,203,633,598,414,136,
992,110,226,883,718,341,747,914,322,844,533,244,416,089,639,187,737,935,987,
476,780,379,672,973,885,439,471,210,096,796,099,637,489,887,588,543,486,641,
103,079,391,605,105,608,010,525,774,160,561,954,080,252,402,645,771,344,381,
961,543,192,019,929,710,684,516,627,856,931,612,084,274,298,735,704,272,423,
500,399,429,946,396,050,806,632,514,442,662,560,338,345,694,136,704,169,042,
992,320,813,644,316,167,488,959,704,412,528,839,977,198,995,158,752,653,045,
527,709,759,445,513,690,532,945,847,561,694,184,012,055,558,917,626,843,255,
705,029,777,982,004,575,322,982,519,657,985,950,552,312,587,588,852,076,205,
427,040,524,759,467,275,702,640,912,366,712,606,942,219,598,308,448,911,170,
195,689,407,960,154,372,725,607,552,642,019,777,514,402,336,721,945,791,063,
685,588,362,456,276,955,797,925,419,800,281,214,200,052,193,736,520,305,911,
625,759,460,190,498,965,706,167,518,410,709,373,785,704,702,905,524,457,233,
521,549,368,764,920,252,087,216,337,325,107,221,198,953,972,549,571,616,519,
518,749,051,521,115,843,434,966,418,940,676,152,930,866,853,824,471,172,851,
567,627,589,770,527,072,479,940,203,089,183,468,632,295,756,215,862,593,448,
824,849,362,205,709,512,945,828,335,149,822,651,326,328,111,254,482,248,135,
817,660,423,219,988,748,772,361,306,415,022,827,388,028,642,849,031,085,191,
036,132,529,235,802,820,533,307,073,993,422,046,139,992,368,302,884,055,588,
132,772,851,567,381,184,723,160,041,876,786,551,468,873,545,437,687,730,940,
275,992,237,917,421,136,079,063,588,430,381,503,273,110,983,492,610,699,472,
511,724,180,448,810,167,177,620,455,880,240,507,217,804,348,951,964,545,485,
063,131,418,171,921,286,427,100,253,610,839,463,875,470,823,688,818,996,620,
794,211,843,570,497,887,877,266,252,938,931,795,180,962,777,727,237,952,245,
077,727,327,485,434,364,116,679,651,645,287,439,931,382,809,767,746,751,587,
503,037,086,932,173,785,045,806,249,570,469,971,836,356,654,204,607,713,241,
723,132,761,703,560,656,335,145,051,549,662,545,266,282,756,849,575,255,814,
163,202,110,514,870,170,387,397,141,190,426,717,022,831,813,983,547,544,177,
105,182,255,497,955,792,232,760,072,692,421,688,090,117,017,353,082,317,742,
722,120,927,312,970,259,090,395,382,936,292,217,095,427,831,670,014,163,427,
044,863,579,746,024,411,334,413,764,829,970,227,416,180,064,664,276,470,523,
644,507,290,798,061,537,408,602,477,269,127,836,453,583,338,513,736,254,743,
262,285,713,249,583,809,756,842,337,403,087,404,169,640,087,703,122,029,448,
716,658,699,756,527,564,914,750,845,035,331,557,912,177,426,159,103,590,998,
401,784,599,083,861,554,878,385,290,382,890,136,304,088,705,140,199,139,324,
048,050,786,992,830,108,477,037,119,168,758,933,833,451,178,344,937,537,577,
182,204,557,018,067,140,049,500,703,043,618,498,547,323,472,719,922,702,950,
945,302,148,106,450,334,742,902,217,614,597,202,274,008,437,671,652,909,801,
209,808,598,278,256,306,895,942,144,102,298,031,294,972,405,576,311,551,734,
117,673,831,829,340,748,788,491,963,549,229,468,449,062,407,603,327,370,517,
244,526,623,511,815,587,108,176,616,673,811,662,468,515,370,220,425,484,784,
132,654,247,369,880,682,985,871,939,665,921,954,878,039,318,761,665,236,498,
989,789,776,682,109,091,859,798,357,394,713,824,316,596,430,793,328,010,112,
220,746,500,577,623,083,835,437,937,446,782,054,184,416,754,716,016,711,782,
248,747,955,683,831,313,154,411,837,339,788,433,242,650,123,346,111,892,081,
516,081,581,543,296,085,353,949,239,127,463,448,389,017,080,744,084,881,779,
960,838,149,102,948,689,122,526,096,953,028,353,393,185,531,084,219,101,429,
937,400,036,824,202,567,464,991,858,117,543,076,532,093,792,038,769,710,518,
766,773,879,838,486,197,285,644,536,822,525,122,208,008,096,642,329,739,097,
372,132,652,173,671,218,817,581,944,021,185,363,337,938,532,711,309,901,264,
432,586,711,511,525,633,460,242,624,783,777,311,614,957,022,300,835,484,901,
568,441,862,236,411,786,917,685,869,878,024,627,640,765,801,295,926,135,777,
785,425,267,374,055,784,205,434,734,541,183,220,880,568,106,610,935,308,665,
093,980,899,760,522,561,373,552,817,981,319,670,856,620,856,594,378,462,888,
437,376,379,453,743,503,187,949,972,830,251,424,812,525,501,190,176,378,729,
356,954,832,405,716,773,138,405,242,622,384,890,703,076,798,222,656,011,899,
078,944,142,578,658,107,359,608,029,499,191,589,325,165,209,175,628,966,515,
584,878,874,643,566,969,518,336,710,769,138,291,440,875,781,217,714,312,309,
988,232,926,545,685,350,255,339,232,240,392,729,464,779,321,037,901,995,741,
251,800,655,955,030,128,030,449,503,617,653,932,729,676,529,621,551,961,136,
425,667,756,907,425,159,027,100,108,494,339,625,984,460,199,273,519,794,656,
034,863,662,424,966,784,703,868,034,130,856,032,409,449,301,660,687,668,874,
966,850,272,515,949,348,479,378,133,835,800,987,898,755,459,749,854,764,952,
869,546,679,001,688,272,545,039,119,462,795,724,535,436,678,293,706,282,623,
167,344,142,164,142,908,300,795,477,251,971,282,304,949,302,780,708,023,115,
120,301,806,523,368,693,398,351,227,228,076,499,635,604,678,403,825,998,970,
556,734,063,049,359,404,794,986,094,102,973,590,861,105,741,938,156,258,815,
011,650,800,715,961,960,689,107,453,715,184,618,685,105,345,986,486,939,881,
848,590,077,692,504,411,472,067,598,447,789,558,057,527,422,346,557,086,127,
666,141,010,695,623,605,933,009,167,264,862,925,337,273,711,411,374,006,020,
276,852,988,039,070,402,350,756,143,390,980,733,147,146,900,967,402,748,061,
587,054,004,981,949,572,240,843,645,090,250,067,765,876,626,424,904,808,082,
810,979,174,397,454,744,096,971,253,959,898,824,507,115,739,272,158,819,488,
939,762,346,772,663,924,741,917,119,705,850,533,514,736,245,315,407,753,053,
851,765,494,247,378,349,868,130,752,598,865,618,594,536,150,288,227,205,426,
574,889,611,425,037,710,317,048,883,562,179,045,214,415,596,705,124,615,322,
962,987,968,775,960,451,670,722,752,946,877,054,015,394,264,679,475,093,205,
191,938,454,603,565,143,390,751,971,877,311,585,226,204,287,010,327,859,335,
364,581,131,491,450,472,691,806,503,695,725,043,515,968,863,111,644,603,823,
520,482,721,389,305,692,360,003,096,949,889,541,928,697,799,033,041,324,159,
383,424,749,400,069,483,483,135,188,605,103,638,587,538,178,256,896,376,436,
765,055,711,168,868,065,402,988,902,860,296,669,928,667,408,959,503,798,198,
316,186,590,564,342,092,699,234,123,732,390,024,497,592,728,133,033,842,775,
883,626,145,827,560,325,382,353,388,619,766,156,126,826,396,911,972,829,983,
199,416,373,477,646,407,093,258,833,463,921,587,633,228,688,200,438,748,452,
400,684,910,841,046,784,201,615,616,009,026,189,241,057,571,837,758,184,888,
141,768,085,493,432,090,138,600,816,246,783,103,683,892,936,364,638,228,611,
262,734,498,381,558,985,554,859,192,029,346,120,242,405,534,141,374,662,214,
449,245,679,890,600,406,107,319,277,038,696,122,045,802,769,488,292,645,096,
224,763,107,736,450,732,854,324,510,779,031,247,105,349,292,663,746,158,243,
269,802,275,866,983,193,355,383,920,632,772,243,374,020,817,858,148,642,337,
744,941,247,592,050,668,712,379,080,873,636,442,203,281,697,710,737,898,352,
189,127,412,150,426,150,258,699,010,797,845,892,609,384,366,266,085,705,727,
173,544,966,619,470,208,366,740,456,955,252,963,736,285,804,473,455,849,987,
821,088,210,897,742,161,065,130,276,404,060,390,958,972,786,219,781,341,938,
375,450,617,148,822,746,653,086,903,628,887,866,488,821,669,867,003,762,982,
897,759,730,609,315,724,139,242,726,279,117,994,871,384,899,573,665,490,324,
229,826,231,829,684,657,963,229,707,545,671,790,409,498,038,108,643,218,397,
550,165,106,581,577,604,987,281,453,077,185,984,027,357,907,747,915,600,682,
599,714,167,436,164,191,919,153,459,914,359,186,903,303,452,102,449,491,924,
517,196,334,087,751,456,405,756,518,592,281,031,981,158,923,374,153,304,987,
579,046,332,438,545,625,598,967,635,300,410,251,612,833,971,906,959,768,480,
480,862,430,778,752,770,633,637,369,235,020,876,979,194,760,943,247,247,254,
077,278,410,966,630,441,428,856,653,299,983,836,046,204,353,330,741,913,233,
019,293,947,386,408,810,756,939,861,802,005,617,046,180,053,389,722,944,450,
883,882,334,366,588,200,671,790,749,121,783,036,130,583,564,488,347,389,812,
659,645,750,963,176,944,998,167,928,641,770,401,749,604,047,704,718,371,418,
305,288,306,666,123,042,482,829,803,504,345,947,513,414,666,158,648,760,031,
516,874,582,904,636,738,441,054,858,007,260,834,356,820,993,275,443,417,214,
445,059,694,738,450,436,148,294,022,065,164,024,846,050,159,620,993,666,817,
238,147,686,470,378,309,518,132,846,377,386,274,194,688,521,623,359,840,850,
072,468,647,009,288,004,304,696,637,455,401,041,772,884,074,485,588,842,367,
670,328,401,050,465,899,576,784,240,391,129,090,355,925,097,652,977,190,719,
145,984,638,530,280,289,245,152,494,620,495,457,279,949,236,281,865,349,387,
946,737,594,927,492,228,606,149,839,427,183,351,465,122,887,323,863,698,856,
456,407,042,739,021,897,785,934,606,625,891,361,084,737,830,720,504,230,779,
228,537,233,891,691,379,778,213,698,525,544,009,011,825,592,542,188,601,223,
632,913,716,173,754,587,378,916,833,525,663,801,589,489,658,701,562,875,451,
360,767,768,668,270,761,889,102,849,659,319,536,020,763,376,334,276,166,421,
659,778,974,451,105,685,606,155,618,133,571,005,615,120,669,039,355,961,892,
882,010,026,881,878,766,232,365,923,376,494,395,409,867,417,596,491,435,496,
527,704,612,781,925,850,266,932,769,254,611,606,847,498,867,470,056,401,245,
663,580,510,162,249,688,747,592,146,891,450,351,572,368,652,570,452,585,652,
563,745,158,809,159,552,990,627,166,412,701,755,115,823,191,544,560,634,481,
779,136,915,268,224,706,680,749,300,583,691,824,095,063,085,901,769,523,051,
463,936,434,291,286,184,206,764,528,697,288,207,692,731,827,055,647,121,194,
838,233,231,418,063,179,177,604,448,228,372,549,100,784,328,025,174,691,471,
789,234,115,106,304,925,212,350,778,956,257,126,194,400,476,151,597,695,231,
862,626,390,083,809,353,126,775,988,322,070,118,061,961,728,249,940,277,365,
035,279,889,330,829,644,380,135,038,432,814,700,401,031,446,442,179,309,533,
752,570,106,103,313,355,692,250,933,741,682,522,071,896,907,277,102,155,519,
593,615,620,745,131,586,864,205,988,115,065,853,705,739,181,486,893,427,208,
235,834,299,315,793,471,380,201,462,170,737,206,925,433,307,251,657,321,432,
293,262,970,776,686,862,955,021,567,037,977,828,586,551,992,350,959,496,752,
795,884,072,391,889,138,195,889,941,244,137,369,682,652,501,371,154,827,339,
272,077,726,224,969,919,910,476,174,680,820,731,313,484,743,453,482,752,661,
795,951,846,319,416,698,017,470,711,602,133,107,368,196,323,592,159,048,217,
077,464,557,025,051,443,843,220,354,327,344,032,425,087,773,831,514,519,396,
355,799,726,320,564,782,808,822,916,191,539,046,662,523,609,149,205,957,231,
966,437,624,319,364,083,702,776,463,915,065,505,249,823,738,969,004,326,696,
420,660,249,768,415,004,605,890,284,937,299,619,115,431,017,174,622,320,569,
133,132,378,123,013,628,812,140,409,528,218,035,070,009,016,821,883,007,533,
980,929,766,770,060,595,703,807,744,022,060,609,720,265,772,513,738,323,201,
340,777,033,109,154,975,419,103,023,013,627,542,238,675,101,268,425,808,890,
074,476,786,215,254,456,882,408,540,560,706,729,751,019,684,529,044,538,693,
738,397,704,065,590,544,537,068,880,591,294,795,689,864,660,574,639,732,910,
715,302,279,907,993,349,802,497,363,235,070,577,801,341,812,008,192,036,645,
456,130,657,461,767,959,037,734,036,438,340,480,099,947,491,567,486,772,431,
624,605,030,890,859,594,906,533,272,276,416,397,031,469,931,485,395,927,243,
263,842,237,315,262,304,462,516,432,728,743,775,301,168,927,350,968,685,170,
639,937,087,193,241,032,850,560,048,820,058,349,086,965,906,699,554,762,694,
830,943,748,340,060,684,002,948,733,745,307,238,765,657,562,148,245,453,118,
439,369,502,054,347,340,334,822,972,064,891,806,360,137,084,680,618,523,010,
402,889,205,121,559,108,477,863,381,681,212,807,416,614,931,127,559,181,878,
264,977,029,887,880,018,550,321,859,466,511,673,254,111,426,270,414,050,249,
239,929,840,877,320,513,572,064,153,585,721,500,423,106,107,057,131,567,832,
444,254,309,436,848,313,871,289,658,332,150,304,890,543,051,785,702,619,315,
437,832,040,292,435,135,836,011,158,716,406,139,149,238,639,435,331,736,653,
573,355,564,875,532,120,567,691,816,121,300,681,761,662,345,358,695,611,375,
410,272,144,529,382,139,233,539,095,688,345,504,927,490,900,999,852,104,540,
902,788,993,053,587,376,056,385,167,808,960,749,178,429,015,516,544,576,308,
770,788,423,441,542,373,758,205,370,824,751,112,681,713,050,095,815,764,071,
527,732,420,788,491,518,596,181,452,434,614,255,347,252,653,237,915,020,480,
280,514,563,131,079,321,034,819,631,746,919,734,453,272,311,143,186,307,442,
840,463,788,957,573,075,597,912,376,047,617,495,252,392,906,443,446,489,888,
562,428,669,241,919,761,089,105,689,149,724,056,780,276,411,727,185,096,006,
124,431,056,384,059,956,097,404,651,674,931,698,616,412,400,438,801,756,829,
572,660,870,401,292,434,373,808,941,172,766,395,939,498,750,224,327,377,526,
348,140,599,148,960,695,927,238,103,310,380,422,006,604,163,265,529,732,490,
287,856,184,019,534,517,210,782,665,493,532,029,519,270,635,293,157,212,829,
069,114,756,268,846,095,181,081,478,384,997,768,585,659,170,000,285,278,386,
012,008,152,982,371,152,378,725,147,578,316,169,872,888,024,421,256,019,744,
767,168,444,221,864,922,641,274,739,620,588,018,916,503,297,722,530,696,580,
977,106,683,340,578,499,256,827,160,665,554,303,722,757,409,503,772,055,493,
019,808,514,802,056,874,026,608,059,381,666,285,202,417,369,158,296,584,673,
495,440,848,723,341,574,240,214,434,071,642,462,694,021,800,053,176,980,821,
882,437,578,007,372,758,989,356,366,225,684,273,147,641,745,628,874,074,216,
953,595,549,457,431,529,387,270,656,691,137,544,741,262,370,726,822,714,066,
494,024,911,091,397,223,110,985,939,522,858,670,544,444,725,138,366,899,778,
159,772,829,204,410,059,826,439,823,936,661,586,507,239,441,781,971,868,803,
699,499,120,728,831,634,456,701,751,021,440,023,871,607,832,613,687,145,177,
047,692,692,448,880,349,949,254,462,143,950,934,200,473,102,630,762,254,101,
349,385,145,141,190,736,941,041,244,739,110,349,804,985,287,262,797,058,491,
584,787,327,431,583,430,999,445,181,027,964,137,492,293,490,975,644,006,486,
456,940,135,652,726,984,333,079,175,940,079,432,594,560,903,003,028,034,181,
159,030,566,635,874,010,376,424,101,146,442,938,215,125,794,295,777,252,578,
946,350,713,892,663,074,728,224,983,822,373,520,310,764,374,781,891,708,333,
569,345,923,266,172,047,104,615,121,242,314,424,864,837,975,490,373,205,401,
034,031,572,129,477,318,090,044,547,565,976,772,095,256,467,192,139,894,596,
647,052,101,406,468,899,540,741,923,871,530,999,777,014,162,881,277,971,459,
560,786,277,479,434,926,460,601,104,506,446,777,475,809,344,638,805,539,132,
534,265,065,819,160,138,052,221,258,316,552,513,309,813,458,493,637,439,700,
802,896,970,196,000,833,589,402,662,263,032,546,311,028,748,800,652,446,448,
571,079,256,027,686,212,476,043,847,543,568,921,818,420,518,463,936,712,568,
715,187,616,347,897,235,266,710,279,955,669,400,384,946,963,596,589,831,078,
066,369,892,383,583,995,206,738,800,574,809,563,930,201,927,195,346,898,275,
932,880,309,174,087,572,151,958,928,896,373,437,662,494,977,623,913,347,852,
289,882,820,591,074,924,729,835,771,438,866,618,707,030,177,757,232,682,179,
149,993,599,072,859,347,256,654,578,639,938,882,279,988,956,915,479,231,890,
838,875,578,501,746,844,152,453,526,833,579,396,715,821,499,027,228,319,339,
590,551,880,312,930,898,673,372,982,657,052,820,569,009,935,576,477,675,722,
965,259,245,421,368,598,197,594,516,341,055,304,819,488,286,022,133,941,282,
579,232,192,546,341,282,847,290,280,513,935,820,775,418,647,000,609,727,430,
618,745,197,891,540,582,621,717,025,634,299,878,031,152,670,193,519,012,427,
760,676,661,181,188,598,834,886,477,806,013,208,619,666,817,220,716,835,398,
040,434,416,564,502,877,235,497,485,760,290,669,440,084,149,853,447,035,367,
259,117,414,590,188,742,130,264,825,192,052,160,065,578,374,402,394,349,993,
417,306,480,057,157,906,458,577,688,603,782,357,624,475,102,487,138,781,293,
969,263,625,732,446,318,930,269,809,596,584,714,986,452,728,527,369,069,271,
591,355,343,727,768,538,746,725,106,100,492,487,526,891,465,252,346,822,843,
407,592,549,473,431,729,750,733,903,137,765,580,733,487,724,968,015,177,136,
483,300,002,558,698,856,001,482,102,728,318,173,848,879,975,315,817,590,936,
175,051,462,310,733,143,501,412,704,584,375,263,093,762,689,120,004,389,816,
949,420,332,409,034,990,990,428,154,280,332,858,439,114,196,998,119,016,097,
070,412,559,720,923,355,330,261,329,137,067,310,903,407,102,729,275,767,719,
573,760,360,081,021,815,601,014,379,269,730,090,533,638,362,694,734,189,873,
334,474,596,844,521,196,823,352,295,387,638,737,631,333,189,366,883,109,368,
861,575,270,454,136,233,796,520,716,174,571,843,602,604,209,916,931,593,181,
714,597,982,232,984,554,329,385,413,532,987,566,839,410,288,433,420,632,100,
519,347,504,423,454,353,385,104,442,485,481,526,388,469,702,920,078,165,409,
760,095,468,817,591,059,436,362,327,120,402,107,941,426,434,575,929,303,261,
598,835,055,795,571,206,644,809,460,131,419,880,726,566,290,545,555,782,977,
419,420,624,038,287,104,330,351,956,247,203,985,371,104,609,868,945,842,733,
225,177,640,845,384,240,136,105,100,431,142,518,606,966,380,707,336,042,933,
377,085,001,678,347,909,604,897,511,775,512,718,075,428,548,568,518,108,268,
244,837,132,769,550,453,958,040,551,835,112,344,570,894,775,664,952,338,699,
692,994,090,277,593,932,866,489,215,213,170,875,711,561,554,696,205,401,838,
977,755,516,962,413,190,162,124,312,573,769,905,592,613,712,814,399,328,323,
537,597,187,281,428,522,649,489,323,209,349,813,219,789,868,000,320,172,499,
204,044,339,116,061,829,622,605,829,642,170,613,378,178,208,133,701,849,241,
239,225,232,980,353,012,471,980,236,982,385,651,738,662,301,701,718,606,445,
832,158,260,393,161,457,704,665,699,342,239,778,083,403,234,585,718,528,860,
710,438,461,046,669,217,802,878,798,992,375,623,433,144,992,717,506,598,344,
069,064,029,169,806,955,775,193,217,625,639,554,917,359,693,024,896,775,237,
506,606,907,724,496,471,329,671,435,190,772,065,176,023,293,059,966,496,159,
186,405,631,244,700,093,266,304,713,364,046,301,496,738,082,677,082,811,533,
686,376,901,748,858,416,808,758,636,974,591,316,874,492,844,577,864,015,773,
893,294,419,932,539,953,111,894,852,293,575,924,493,037,464,364,229,945,652,
006,413,025,277,646,341,478,001,500,373,090,561,442,602,370,839,700,942,616,
546,161,283,856,382,398,924,837,736,763,209,297,064,828,886,925,444,217,177,
856,516,239,632,694,272,599,553,776,615,435,579,938,762,516,568,790,673,515,
984,985,958,479,124,918,276,486,861,913,325,469,546,839,251,877,400,458,931,
942,972,068,420,478,298,543,444,778,575,750,029,015,859,492,117,458,861,047,
778,649,309,761,412,585,599,944,814,046,621,257,061,950,576,444,744,299,258,
759,465,063,253,054,135,714,653,838,565,496,520,022,265,601,062,385,817,161,
787,487,840,236,372,009,683,045,909,610,236,138,000,028,383,224,855,023,057,
779,854,415,073,972,187,523,538,174,697,984,889,376,771,635,353,620,228,209,
846,142,796,355,390,847,148,881,846,497,437,104,493,593,096,242,204,443,683,
432,412,618,653,069,909,136,521,970,311,519,982,884,911,040,218,140,969,322,
686,342,591,163,400,312,759,442,667,587,942,351,454,183,486,095,698,062,411,
780,811,401,152,758,801,675,402,973,864,939,238,146,043,029,121,605,715,619,
096,455,909,306,993,437,244,538,061,184,369,460,041,409,264,500,713,721,012,
163,650,890,406,277,707,795,037,565,778,835,789,706,479,084,814,762,768,876,
973,477,683,821,362,876,079,550,933,762,497,579,815,213,353,033,796,415,677,
404,409,921,497,300,232,804,379,032,065,304,023,475,760,181,532,655,033,456,
781,239,724,912,230,772,645,579,542,253,179,484,889,240,937,466,688,902,044,
299,465,577,817,287,644,645,615,283,484,852,226,703,658,641,333,270,711,070,
099,662,639,843,556,238,593,111,610,114,957,610,609,307,365,873,312,915,046,
334,927,017,357,803,842,660,175,284,358,519,552,213,349,605,064,400,183,303,
935,631,992,747,109,640,181,243,513,007,848,168,009,385,368,393,878,197,778,
841,934,687,206,741,158,479,387,362,889,412,133,669,832,676,608,184,459,466,
039,698,885,635,373,806,430,017,141,772,227,436,537,092,361,615,631,168,745,
662,385,781,414,919,989,174,222,880,088,406,701,343,240,666,872,339,513,624,
525,859,700,877,227,929,765,243,135,572,366,168,354,646,269,304,532,326,832,
705,654,783,138,987,135,862,925,278,412,967,457,422,267,682,230,178,306,513,
983,876,895,432,951,682,661,947,796,519,867,665,095,481,699,675,900,806,218,
313,634,667,303,302,812,123,857,983,462,969,694,397,394,540,951,633,379,591,
599,387,475,461,504,412,754,688,322,362,330,586,808,429,305,629,947,535,363,
086,904,797,714,596,430,733,888,218,233,169,541,575,963,687,383,757,277,286,
514,154,436,461,667,537,997,248,750,912,586,266,930,605,152,056,401,681,979,
048,013,935,867,340,678,346,414,697,124,558,405,133,299,685,082,873,693,218,
807,691,668,111,737,120,404,479,604,900,078,487,498,358,693,238,129,241,967,
200,499,658,419,188,830,368,216,482,734,721,861,779,539,347,489,616,122,326,
782,470,329,564,075,926,472,368,778,382,437,500,947,162,227,901,157,629,878,
400,464,432,188,639,810,887,200,742,355,926,507,297,583,224,219,841,086,961,
316,907,322,728,023,169,983,156,536,359,988,414,653,449,942,494,255,284,110,
351,188,609,985,217,114,684,179,527,672,096,016,695,458,704,029,387,850,210,
400,905,828,146,019,733,217,446,668,961,320,849,466,054,712,414,315,253,632,
183,608,948,113,916,606,051,386,770,468,560,626,742,456,788,836,587,954,456,
877,563,713,674,132,920,244,677,487,136,746,178,707,910,912,174,489,083,722,
343,862,803,637,896,177,023,440,979,770,793,426,278,748,391,879,585,523,713,
424,238,440,440,693,934,348,018,785,312,847,415,099,635,871,266,320,775,034,
598,622,680,289,282,128,202,963,294,457,412,285,771,203,302,875,779,561,650,
551,489,123,133,601,823,449,486,924,017,216,085,430,296,469,271,780,754,925,
602,268,999,119,935,670,588,644,225,620,983,857,209,371,493,825,174,956,560,
141,751,673,318,588,911,877,648,780,996,630,472,556,541,232,425,806,833,899,
179,740,502,619,526,643,576,206,664,034,188,485,096,604,450,316,607,686,287,
726,734,202,151,005,133,428,175,990,495,467,178,131,347,560,397,985,520,882,
542,054,423,592,098,214,885,453,099,864,021,958,650,520,048,278,155,113,006,
563,927,211,732,876,208,651,655,965,732,906,916,235,432,892,648,476,002,637,
788,474,024,932,713,859,623,869,851,913,898,508,902,721,603,283,760,750,993,
525,135,744,599,180,151,777,311,949,799,223,951,477,054,214,884,983,225,657,
226,562,704,163,328,983,369,353,457,740,537,632,262,604,221,700,772,150,822,
037,083,621,050,891,455,179,296,410,500,025,551,013,110,904,815,965,747,330,
439,143,686,342,080,206,765,850,632,197,718,090,451,742,262,076,542,279,422,
712,366,105,220,434,996,792,718,263,076,884,313,134,816,549,326,047,995,556,
244,862,191,554,331,173,744,157,460,636,558,079,330,294,088,652,550,894,108,
246,003,168,013,807,373,466,353,751,501,329,313,726,291,013,659,823,478,636,
825,505,667,961,244,785,340,780,340,474,548,162,472,092,394,136,854,640,827,
741,666,422,349,307,651,598,744,788,917,361,448,984,369,501,310,325,188,573,
222,170,858,122,002,559,325,022,393,257,094,509,463,276,340,513,928,412,239,
710,324,643,404,927,587,752,659,106,599,040,159,044,616,643,560,627,986,691,
581,188,375,095,141,109,482,030,393,751,551,862,391,883,312,998,038,008,993,
173,693,668,672,835,696,120,768,898,392,173,930,870,420,929,399,727,112,189,
811,656,594,241,267,674,478,662,583,577,236,695,877,764,867,707,795,582,327,
205,384,651,112,990,820,316,634,380,839,087,805,090,474,147,292,546,180,750,
084,882,146,502,870,500,295,124,262,155,514,655,427,769,825,384,779,270,796,
143,431,989,915,878,384,754,205,417,429,715,039,732,407,513,839,278,052,424,
823,068,166,353,303,040,118,633,423,584,183,921,290,286,311,323,456,811,099,
966,893,080,576,217,305,759,129,478,498,652,414,410,453,314,009,950,510,708,
578,769,727,411,272,434,200,488,915,084,951,026,879,282,379,275,757,387,477,
769,037,616,577,523,303,921,231,728,627,806,321,960,935,790,369,347,592,077,
969,927,499,064,958,156,920,300,991,268,398,285,395,502,228,256,798,973,980,
712,427,373,831,721,803,509,575,555,717,718,177,723,049,411,111,487,283,350,
527,588,317,426,665,529,687,316,158,002,693,033,869,905,302,951,697,934,859,
819,922,001,712,902,046,581,907,730,208,808,089,355,459,585,574,726,897,803,
007,661,622,942,007,254,985,703,186,882,645,204,824,705,010,012,213,285,994,
030,873,273,259,718,099,456,933,784,272,636,331,499,143,529,098,524,875,159,
663,363,586,451,158,167,195,258,024,676,648,198,154,135,502,363,929,382,195,
115,391,423,994,086,187,387,623,095,355,423,116,921,025,305,617,357,243,081,
253,341,155,518,299,597,209,772,864,300,687,655,141,191,796,390,704,732,273,
925,614,205,231,883,223,877,598,560,771,512,026,103,765,566,276,018,572,782,
764,002,173,627,956,374,912,053,813,054,581,678,026,590,654,226,617,218,419,
631,003,964,695,985,988,505,351,136,450,694,581,402,050,209,682,911,229,090,
401,846,936,917,253,335,412,109,274,150,745,925,671,851,434,788,047,429,308,
609,975,357,257,889,991,620,236,711,906,543,008,719,155,104,839,270,368,972,
185,562,971,535,157,773,888,954,667,547,431,316,327,350,807,637,031,540,189,
334,738,118,710,601,898,667,562,897,527,338,754,187,945,419,054,946,140,955,
583,557,355,272,409,820,135,373,563,932,515,691,352,712,721,652,639,837,564,
043,883,966,404,603,754,138,580,193,974,212,273,293,793,370,636,621,215,160,
074,192,621,302,223,247,984,714,447,224,351,395,611,383,226,255,996,270,036,
360,181,488,978,452,968,230,186,177,931,421,080,403,540,910,682,625,885,411,
948,837,273,433,672,867,861,814,744,645,197,933,772,400,840,584,695,457,473,
244,868,689,796,125,797,624,146,675,517,958,175,243,394,157,066,753,581,650,
931,593,971,618,612,512,146,623,706,362,731,425,156,929,600,655,702,245,549,
619,324,856,737,125,675,933,223,091,556,300,705,335,659,926,640,359,736,359,
818,404,158,083,230,803,488,593,519,970,754,442,489,374,911,069,288,177,694,
314,443,949,937,134,371,845,331,963,760,528,105,650,190,652,895,743,557,110,
038,455,616,205,790,443,637,103,246,705,451,094,424,543,942,594,436,194,838,
098,257,664,535,379,552,577,384,901,676,505,158,712,995,826,447,127,816,225,
275,300,321,832,903,008,047,660,202,356,185,179,497,067,893,637,466,874,766,
660,854,810,927,162,066,853,441,293,899,172,297,414,005,716,569,431,945,598,
392,517,105,026,936,855,949,601,413,397,537,822,293,724,664,178,826,147,430,
375,740,108,745,353,344,378,313,272,765,762,331,556,307,200,738,163,862,979,
957,994,316,919,620,224,085,272,178,275,337,257,122,424,760,818,655,378,709,
342,229,663,039,125,088,559,928,661,134,904,636,851,216,651,612,049,231,977,
778,733,320,171,741,158,416,937,378,417,555,443,318,970,931,388,372,314,845,
330,030,879,202,774,814,220,433,548,643,456,078,858,264,209,425,705,037,988,
380,290,376,742,795,485,344,182,429,665,176,115,747,270,503,650,105,822,496,
429,653,529,526,153,327,123,261,400,846,366,414,964,064,320,758,442,038,947,
741,820,382,913,649,736,101,250,006,383,154,401,698,135,204,009,895,062,140,
879,729,814,625,333,834,141,847,291,978,920,329,533,294,176,380,587,176,287,
758,183,375,470,647,986,095,495,416,581,625,260,767,125,754,573,761,820,586,
113,078,924,942,301,120,523,409,521,107,496,275,423,779,575,400,811,822,887,
793,810,930,385,116,767,676,014,829,680,214,683,940,722,824,332,521,476,294,
876,806,293,969,131,799,981,203,734,607,696,549,419,103,315,427,022,683,319,
600,840,002,279,434,260,155,625,214,277,072,807,303,908,534,350,250,559,462,
535,140,523,050,036,335,536,505,328,902,325,399,245,965,469,245,734,930,644,
810,866,725,787,918,622,715,452,075,067,218,904,549,827,410,912,831,425,755,
412,285,069,356,232,565,438,155,329,344,270,620,581,115,623,583,875,459,026,
652,865,021,491,822,350,057,388,232,765,384,668,986,980,129,471,254,064,875,
098,215,798,484,514,049,380,890,758,045,707,301,690,589,184,487,866,219,157,
279,632,470,586,613,474,631,423,462,682,566,259,135,749,488,383,128,791,759,
546,007,494,203,651,203,947,817,934,580,103,839,695,747,797,290,641,231,321,
433,414,266,344,826,223,156,701,049,566,810,693,958,865,810,213,265,722,000,
624,443,732,888,332,967,745,647,771,324,628,565,609,694,991,999,341,229,363,
482,484,674,918,418,714,205,768,734,484,352,570,237,451,319,123,021,589,078,
640,631,970,173,365,715,914,337,725,136,733,776,211,079,994,005,391,300,047,
375,289,371,702,553,357,865,386,452,194,026,017,009,900,110,427,797,347,282,
372,425,714,942,746,961,796,762,941,516,190,747,946,603,397,980,435,344,573,
700,232,074,606,176,269,910,576,714,399,863,213,107,079,484,045,090,993,248,
492,044,496,323,994,472,552,346,973,559,061,696,095,628,819,883,841,158,142,
695,125,271,423,454,914,143,290,746,603,055,448,372,879,925,180,378,381,825,
924,020,632,173,789,779,419,496,013,933,565,008,877,708,508,672,790,071,800,
614,184,848,198,093,201,558,481,116,582,503,395,114,428,365,287,440,222,551,
797,333,421,821,013,541,520,514,443,793,558,466,752,874,211,310,113,746,103,
377,191,175,860,995,777,674,200,457,458,456,297,494,203,721,586,789,657,261,
457,222,296,694,517,562,214,331,943,538,056,778,895,276,526,142,555,005,153,
060,645,267,637,397,486,976,599,284,586,365,784,171,032,808,891,236,835,078,
373,068,767,560,940,320,720,878,600,220,194,698,670,759,153,058,586,658,869,
612,334,171,095,448,202,121,368,010,973,108,079,993,529,596,111,830,931,111,
733,060,169,428,048,163,496,608,527,923,919,536,541,782,575,850,668,322,607,
789,950,242,596,148,426,411,842,251,538,996,575,372,130,228,905,526,916,142,
034,222,229,853,740,391,822,552,180,148,768,976,961,711,734,036,297,098,047,
652,491,678,040,032,776,603,870,581,739,102,099,388,970,660,040,609,366,618,
670,674,718,755,982,672,388,241,934,418,486,945,374,891,677,891,481,468,055,
919,055,119,981,389,246,181,447,625,261,609,945,381,208,177,839,596,694,456,
350,112,378,847,976,887,586,832,244,778,501,395,609,844,471,507,764,495,742,
064,549,320,186,004,430,767,516,673,307,957,283,794,972,360,218,979,629,618,
380,451,796,192,663,997,803,972,765,232,510,093,918,298,218,409,033,384,099,
468,580,172,219,760,745,325,959,047,388,108,353,862,585,310,295,277,207,508,
019,367,411,792,462,502,896,312,421,704,184,209,240,455,160,630,863,506,831,
948,029,198,964,051,698,435,277,362,863,417,555,119,069,593,196,010,497,810,
465,412,566,137,085,865,519,004,205,199,073,918,452,166,786,594,557,624,745,
168,341,461,471,913,819,353,986,818,126,685,779,566,650,186,666,779,301,671,
126,058,620,424,015,161,532,511,858,313,016,113,091,500,308,590,024,091,125,
402,227,825,034,120,374,421,317,645,232,062,985,472,090,171,810,923,442,186,
965,728,673,359,549,467,110,521,121,451,183,193,791,582,980,381,701,695,746,
542,954,478,757,974,927,198,026,657,485,589,704,925,332,675,022,619,181,935,
467,083,272,357,513,156,844,053,255,476,140,743,067,444,272,331,622,472,812,
594,225,575,786,271,427,980,028,379,418,657,672,349,562,928,589,449,438,642,
558,912,001,509,104,525,439,322,412,521,524,458,533,635,439,419,391,136,707,
370,601,440,769,622,440,005,635,163,290,028,581,628,757,503,593,058,827,696,
859,560,052,863,074,138,475,853,291,118,488,778,639,477,980,527,959,225,152,
188,111,013,367,301,872,840,596,625,943,796,341,956,524,111,417,351,067,899,
501,784,871,345,865,382,990,033,221,686,809,693,248,508,698,838,730,659,952,
089,677,528,369,010,902,723,507,629,017,686,563,484,397,224,741,520,343,861,
217,593,369,597,364,255,505,881,943,793,565,493,720,131,456,006,522,003,732,
771,033,065,804,052,488,623,434,568,915,567,746,148,764,729,481,616,479,601,
672,423,932,637,480,293,915,793,678,930,727,195,664,101,387,795,170,002,734,
152,026,301,123,396,594,549,097,255,331,442,165,799,140,696,043,821,342,903,
241,396,282,965,414,249,571,438,443,331,584,087,423,113,464,056,443,715,123,
218,980,547,927,265,304,355,319,925,726,670,545,676,175,329,107,855,009,070,
286,657,728,346,107,985,484,438,275,204,396,736,115,378,605,746,024,311,406,
629,803,200,946,748,576,903,892,649,463,119,465,306,071,757,135,039,188,474,
676,106,316,688,042,437,163,963,735,121,383,116,008,188,557,293,065,816,335,
865,642,793,166,910,399,079,825,751,954,213,461,254,161,871,418,183,814,228,
654,379,056,324,887,910,748,098,343,680,541,087,786,480,392,660,871,751,024,
305,658,210,079,555,984,565,321,713,575,894,632,559,686,135,917,629,572,671,
158,250,534,450,432,665,041,715,164,941,322,799,617,916,017,885,460,929,055,
647,626,620,174,012,066,133,004,255,742,100,401,744,844,750,532,555,661,595,
872,644,257,481,145,365,883,533,507,978,228,374,705,759,214,875,948,688,839,
706,384,909,649,909,814,982,626,475,642,352,319,276,365,637,144,026,361,275,
719,321,435,259,242,372,128,269,782,115,979,867,869,709,873,109,262,966,432,
030,142,092,585,095,510,031,183,010,662,602,570,507,316,102,142,388,359,135,
862,743,749,521,149,008,869,697,886,457,998,195,991,294,019,206,311,352,345,
351,774,763,058,176,982,435,906,559,294,055,357,657,643,753,898,646,906,528,
346,387,733,315,789,114,468,329,977,171,736,561,111,692,929,583,385,827,705,
294,678,514,928,040,530,946,792,128,597,906,948,271,903,008,978,887,597,777,
289,003,511,968,453,008,599,537,237,821,219,239,378,387,837,121,776,522,881,
142,371,711,396,557,973,216,832,330,353,383,048,714,256,229,984,900,979,168,
361,023,135,337,941,216,183,723,832,937,585,521,322,291,989,820,355,059,289,
685,971,108,649,925,791,129,805,281,123,168,942,282,604,289,337,695,841,702,
860,661,848,924,668,430,337,787,761,721,147,155,447,964,982,028,761,450,271,
712,868,986,732,321,397,199,892,319,616,091,628,028,249,926,622,994,481,538,
396,880,570,605,283,995,085,285,779,889,894,888,964,958,119,264,462,999,306,
308,928,782,008,538,842,875,061,681,938,916,805,236,558,008,248,124,972,512,
953,000,557,923,557,905,284,687,294,140,136,249,085,112,509,427,714,423,424,
851,813,754,910,045,655,171,379,889,937,708,427,775,887,744,641,954,143,615,
263,551,446,028,155,357,695,003,519,025,986,236,712,496,316,161,742,685,370,
660,784,034,024,261,532,861,904,509,569,079,476,840,991,838,149,808,727,479,
953,836,517,332,143,360,275,120,431,550,095,492,825,993,552,033,450,700,184,
333,822,446,081,807,719,576,225,490,342,963,465,141,372,612,133,556,465,655,
416,444,946,432,856,999,378,490,936,780,835,841,347,935,853,371,696,594,634,
404,362,101,118,064,993,454,862,279,464,040,522,396,583,013,898,506,019,894,
467,423,590,059,831,158,085,847,667,764,541,601,762,170,090,872,697,123,017,
757,435,370,155,471,306,735,201,292,670,206,159,437,565,090,718,397,323,811,
496,968,135,997,327,409,736,303,118,563,621,783,700,694,198,691,734,476,226,
742,655,431,607,902,136,019,202,865,777,782,748,563,112,383,681,181,454,406,
416,396,509,865,357,710,513,412,638,567,152,383,911,649,662,728,856,913,881,
042,381,383,138,085,554,475,263,168,134,740,598,597,772,379,157,170,127,921,
829,885,339,003,112,837,143,872,050,855,027,198,164,231,004,623,422,711,862,
970,237,402,801,429,621,662,757,229,437,068,594,383,928,637,472,775,817,649,
897,696,955,782,928,655,857,776,172,190,270,413,929,814,725,599,810,140,291,
752,510,224,870,818,275,734,260,119,556,510,125,986,546,183,725,947,629,013,
119,320,583,701,612,459,889,256,580,175,105,471,681,994,814,840,275,058,409,
314,100,856,250,044,611,743,259,717,094,238,202,418,576,094,877,755,089,612,
195,621,303,275,630,501,677,365,080,766,534,620,571,796,726,307,712,857,513,
590,157,054,010,783,293,139,923,583,988,091,042,317,802,026,389,001,711,590,
544,319,899,397,045,913,668,648,302,972,035,387,077,571,945,286,339,806,064,
850,845,348,308,575,389,428,254,152,044,313,151,884,451,848,888,602,340,090,
147,706,695,915,637,109,242,081,111,523,048,505,154,203,475,684,876,983,034,
611,137,674,849,962,752,668,807,977,881,227,828,211,817,566,685,235,926,682,
188,067,809,623,357,893,210,993,580,223,289,567,546,383,200,901,410,711,804,
063,816,325,055,159,683,604,243,327,036,204,876,287,576,299,517,612,313,131,
367,481,440,682,018,204,153,601,186,561,688,842,875,378,771,712,747,674,287,
012,355,998,262,608,594,324,341,856,257,308,423,061,070,876,721,955,427,966,
465,939,208,634,030,988,291,422,316,073,287,400,725,035,581,996,700,675,399,
092,104,018,914,326,096,076,055,814,986,694,587,477,358,589,542,146,114,258,
512,752,938,785,755,354,001,875,355,949,076,345,593,388,759,277,206,475,339,
311,787,155,881,101,133,243,436,244,335,485,133,910,058,058,771,663,107,536,
228,793,601,725,984,074,392,964,962,292,213,953,475,319,489,638,141,373,307,
778,963,236,633,067,790,817,522,192,273,469,972,611,572,889,286,772,257,329,
598,851,158,687,061,381,842,117,609,222,006,454,806,037,775,166,373,393,347,
249,024,346,731,654,200,741,916,752,664,316,898,833,339,512,813,399,964,247,
636,068,731,491,726,702,537,867,657,191,572,810,958,375,637,319,799,887,712,
402,057,156,081,972,920,239,924,404,930,089,196,183,822,781,909,902,431,700,
330,552,287,217,242,584,172,846,698,028,266,787,604,171,350,358,222,666,361,
335,926,849,480,474,586,827,341,428,228,560,597,074,409,054,733,979,404,148,
281,506,796,385,685,752,359,170,233,514,083,222,340,004,854,387,313,853,144,
417,743,391,769,815,024,112,949,568,993,878,617,987,615,184,313,076,817,720,
784,067,726,077,636,293,908,649,764,492,525,229,427,257,613,876,181,448,414,
630,366,656,664,771,328,369,388,540,548,860,465,226,123,764,517,755,833,938,
317,454,852,896,916,690,428,951,531,274,766,926,061,389,615,448,010,788,396,
380,606,191,059,265,940,103,158,359,460,321,138,734,595,998,271,001,847,457,
925,454,898,892,663,889,898,644,243,737,651,180,362,666,352,100,142,896,504,
099,834,520,960,076,385,865,915,579,404,878,519,017,530,021,123,235,654,054,
709,871,819,012,689,312,023,697,621,331,076,153,456,406,817,530,408,614,506,
753,282,726,336,621,197,725,128,490,924,457,564,667,801,500,312,898,987,638,
535,951,597,395,757,314,588,120,117,874,117,030,028,558,351,843,943,140,948,
175,790,775,167,350,958,099,316,196,789,314,315,401,316,344,161,095,293,937,
474,666,228,342,434,858,987,309,978,988,191,765,709,251,967,670,497,015,691,
117,633,289,576,500,369,508,909,120,566,650,413,081,934,330,426,692,584,933,
123,079,488,977,755,204,146,803,859,513,146,916,763,232,425,312,227,785,460,
671,091,316,263,932,224,275,511,036,768,484,082,477,245,392,085,612,231,494,
908,797,907,916,771,919,575,342,776,718,557,229,596,815,175,231,015,715,786,
511,423,319,399,948,355,811,157,305,957,186,088,043,228,820,047,012,304,986,
370,116,209,631,185,063,336,874,978,298,115,874,588,662,456,658,202,242,463,
503,766,783,986,742,168,333,804,182,182,704,660,856,062,994,203,337,439,561,
864,694,040,170,676,450,005,554,220,967,373,784,251,233,234,150,264,246,396,
819,169,668,249,786,499,387,765,698,132,304,552,437,321,169,551,505,018,883,
132,776,013,960,147,387,223,421,206,507,253,918,940,449,755,733,347,329,343,
591,446,142,508,682,521,723,830,123,471,284,195,061,659,306,689,168,540,085,
227,316,039,281,946,542,738,417,087,727,139,926,763,700,774,002,475,086,820,
797,962,047,048,073,851,247,925,390,162,343,940,987,116,030,981,182,037,569,
770,855,804,305,802,789,290,352,202,916,966,930,871,134,457,765,517,296,434,
930,698,343,906,443,394,245,372,987,328,083,176,932,275,571,448,157,492,713,
952,713,980,870,074,846,804,306,896,070,247,431,253,955,853,371,803,297,528,
211,748,858,610,154,423,066,431,862,218,798,193,355,016,034,831,654,596,715,
365,933,115,358,243,501,413,833,835,921,722,160,443,642,722,453,922,004,093,
442,562,753,479,746,472,843,336,914,792,563,852,216,580,394,839,737,027,602,
481,641,872,469,728,805,619,460,518,403,499,369,511,837,365,118,729,119,333,
287,296,542,010,819,882,040,149,301,660,553,541,101,644,904,502,112,932,052,
790,360,632,241,755,874,247,209,546,016,163,034,542,985,473,075,235,671,088,
654,867,288,438,700,432,478,576,379,365,159,567,597,447,200,011,964,585,722,
257,517,449,828,389,924,007,387,452,823,425,578,438,014,281,500,942,849,087,
594,058,043,402,746,871,281,317,187,165,848,656,952,852,922,813,305,570,521,
277,178,754,101,711,047,937,131,117,781,311,703,206,034,493,044,313,675,138,
476,681,982,214,342,828,535,036,984,507,953,330,514,796,019,005,418,490,315,
618,857,768,778,270,151,939,634,085,466,650,922,057,330,738,995,886,888,935,
207,742,851,772,548,025,133,253,899,323,800,545,739,489,978,117,982,225,618,
551,036,046,270,451,173,494,380,280,995,432,253,199,657,569,015,212,551,815,
781,468,163,555,241,497,836,457,004,870,109,333,078,028,817,362,396,658,088,
527,011,806,749,599,462,884,962,526,100,905,031,941,476,606,329,263,418,635,
469,120,192,409,186,244,453,937,574,091,745,729,326,647,954,360,836,105,270,
051,847,284,781,709,302,359,010,933,730,413,662,890,739,711,528,463,725,908,
761,120,086,721,023,277,789,688,948,458,141,582,826,122,664,140,114,226,589,
428,331,339,445,468,156,463,069,245,405,481,599,225,755,701,350,731,666,215,
018,285,941,788,315,866,270,571,927,914,113,944,385,144,384,959,931,950,993,
328,614,792,466,491,627,844,729,108,111,119,014,993,253,577,728,981,886,520,
927,354,127,321,279,530,173,144,260,707,076,653,404,481,667,543,390,715,592,
606,867,083,285,392,692,474,127,442,651,830,179,918,903,081,515,759,235,669,
348,410,863,570,161,376,815,363,021,545,802,107,995,582,119,184,177,865,236,
470,437,927,435,854,439,693,035,955,958,595,514,457,220,402,898,368,387,477,
783,556,638,372,271,861,118,794,121,452,647,336,380,305,630,188,763,145,293,
792,675,171,670,745,901,639,248,093,836,807,104,256,340,460,202,680,297,908,
405,273,690,519,407,822,133,352,922,078,259,440,801,228,049,459,309,293,602,
029,934,027,834,261,416,600,016,661,061,092,382,641,235,532,431,418,136,866,
983,358,342,728,966,916,676,753,408,457,276,672,784,726,466,059,996,083,367,
070,152,324,902,602,995,929,323,270,754,646,480,638,365,928,633,463,370,175,
667,800,870,715,636,192,974,023,047,376,528,742,179,936,789,335,431,823,899,
405,293,281,337,686,329,624,630,284,180,920,813,891,683,671,840,243,566,353,
919,891,780,262,447,627,477,977,656,812,143,769,871,738,601,387,864,172,072,
016,636,952,400,513,052,539,821,072,603,720,035,918,189,998,524,842,093,258,
882,646,042,747,902,113,295,605,990,666,001,563,906,720,295,907,308,420,189,
017,647,241,268,557,650,681,542,997,649,207,548,778,722,488,750,571,282,016,
407,073,327,494,870,969,387,184,786,402,792,773,796,476,863,125,476,694,652,
572,247,486,435,304,926,045,102,151,952,782,468,751,100,566,929,079,273,514,
972,486,680,281,136,477,185,883,265,846,214,342,096,934,193,744,541,018,623,
550,821,810,502,089,465,973,116,006,708,086,391,886,241,216,903,203,527,341,
951,271,927,507,394,301,628,816,838,497,369,954,259,009,792,471,146,481,431,
441,558,817,043,739,636,551,976,322,486,033,501,298,590,127,583,236,128,865,
506,075,437,751,903,382,934,185,202,872,286,814,239,710,122,673,257,363,767,
891,489,390,574,883,304,087,451,027,493,766,021,909,398,553,941,829,368,567,
579,068,525,449,114,309,837,152,986,222,909,526,078,250,938,007,723,661,921,
168,273,317,400,439,936,026,885,485,585,472,649,642,512,653,506,099,283,580,
646,544,951,747,155,677,691,276,380,672,081,922,585,912,917,954,561,961,376,
796,852,186,057,905,398,676,316,267,441,633,622,708,491,121,528,948,193,930,
316,613,498,203,327,052,539,611,348,719,777,301,236,269,895,340,910,226,424,
995,537,265,543,899,561,695,983,004,722,137,961,461,387,525,275,174,919,897,
371,206,741,356,625,112,758,946,639,360,156,496,798,978,801,183,002,563,439,
334,496,488,003,667,584,203,407,421,633,933,286,781,959,914,160,223,925,909,
248,621,473,173,346,876,100,912,519,489,105,106,503,637,759,909,163,640,855,
993,926,592,104,811,540,930,817,513,037,778,371,299,516,210,822,762,702,792,
653,583,892,015,495,290,621,272,512,615,398,132,412,607,097,058,041,138,937,
280,299,854,157,986,222,387,986,150,493,725,361,205,020,780,323,596,607,256,
659,339,187,602,801,358,312,072,748,846,663,733,166,495,791,059,060,663,388,
902,832,358,347,121,946,127,667,605,915,118,284,162,158,311,727,047,513,351,
599,950,635,490,711,582,814,094,491,886,256,616,811,773,795,166,614,831,913,
579,515,968,991,020,865,527,081,477,005,798,360,828,486,130,760,149,539,950,
282,848,615,261,396,808,103,647,523,953,276,190,515,128,914,909,385,726,463,
824,134,114,727,300,128,143,477,517,074,374,691,866,201,514,256,482,369,819,
114,963,311,428,290,734,860,724,175,836,793,067,612,131,459,199,232,700,107,
392,925,711,300,845,583,560,912,404,859,770,365,661,126,506,032,384,114,976,
381,310,986,400,246,196,762,613,540,786,112,535,166,411,974,721,616,729,943,
557,426,114,410,268,541,676,674,463,124,895,530,232,139,995,818,746,535,376,
940,896,425,548,739,238,288,583,411,280,921,089,450,538,816,303,441,897,577,
962,984,144,877,138,744,228,624,649,504,510,561,879,014,158,985,288,216,223,
379,872,207,691,308,895,378,565,750,736,392,104,370,484,768,297,497,412,560,
651,637,161,723,683,609,736,019,126,830,114,765,426,969,623,922,337,955,157,
039,364,706,802,598,230,576,482,532,774,850,922,966,643,461,439,596,230,537,
964,211,616,881,747,377,506,942,536,619,630,425,619,100,207,611,785,962,484,
070,713,763,048,049,094,609,304,924,516,671,115,197,338,249,775,410,447,908,
232,792,360,377,874,694,488,807,525,323,925,779,398,773,014,250,820,851,707,
207,794,619,062,934,586,281,006,813,600,308,657,981,270,498,763,898,001,918,
811,323,216,501,621,286,151,624,800,135,917,156,318,759,278,106,379,729,777,
622,958,386,826,629,638,773,876,939,707,183,517,983,595,037,094,095,088,472,
256,777,380,420,445,980,093,237,131,800,997,395,243,207,550,908,415,132,178,
046,910,500,672,288,447,106,896,789,835,343,640,067,562,016,224,813,440,889,
966,867,293,184,913,253,724,229,622,815,419,686,013,643,026,097,717,639,114,
499,461,419,156,383,062,078,486,916,970,698,613,860,792,873,375,260,209,260,
179,356,301,992,212,698,174,328,684,821,006,737,937,404,815,085,511,504,189,
374,412,336,405,788,443,038,607,510,669,584,604,684,123,958,109,640,963,619,
270,619,451,910,377,067,477,742,968,048,495,752,946,864,009,227,265,430,740,
022,286,183,228,576,301,642,734,891,942,032,768,997,616,237,949,661,542,452,
121,442,890,622,637,740,032,862,632,252,237,691,065,338,077,072,000,822,907,
999,732,074,589,968,395,469,843,195,536,187,966,274,796,836,095,936,664,721,
312,122,117,031,186,584,566,337,020,526,389,993,106,901,084,273,032,240,315,
134,537,635,915,601,524,590,252,657,465,255,243,642,917,629,472,278,853,175,
486,648,982,460,205,577,812,790,985,526,170,919,772,605,311,068,080,886,186,
377,092,444,205,044,805,150,252,985,844,629,656,923,559,645,032,539,750,603,
450,376,707,251,625,024,053,544,781,946,293,283,168,180,748,966,090,747,903,
274,755,072,268,053,006,529,621,629,925,579,921,750,066,694,888,877,823,058,
879,132,177,303,925,914,269,019,408,179,651,630,197,542,540,154,640,131,532,
866,095,991,095,390,184,270,208,071,607,542,139,629,287,762,867,538,024,173,
001,320,451,800,128,318,692,806,576,730,470,571,460,414,664,901,455,394,365,
996,643,870,677,613,663,844,919,932,159,132,990,607,273,107,873,411,807,022,
852,283,602,332,981,537,693,665,533,880,208,996,357,829,322,340,354,872,225,
255,342,029,598,553,782,592,142,674,324,887,897,086,398,368,994,132,016,819,
224,311,687,653,775,526,578,100,887,476,508,031,750,418,684,152,063,716,606,
637,220,123,569,077,885,205,741,508,673,522,939,737,623,967,555,286,355,772,
623,180,792,532,302,346,444,768,761,546,232,015,372,539,502,283,567,574,459,
939,248,439,067,579,351,799,059,697,210,274,356,594,778,144,237,710,748,859,
051,367,464,607,245,664,409,581,211,584,504,772,636,942,819,492,180,363,963,
815,449,262,955,230,252,207,163,998,346,317,751,133,418,838,102,722,283,110,
220,684,143,639,391,536,681,125,361,067,089,607,989,353,315,902,496,793,403,
543,714,201,276,448,972,841,079,413,725,540,918,247,125,924,667,360,435,572,
371,528,050,016,077,150,177,597,654,337,953,940,201,171,811,155,494,992,060,
470,831,086,298,701,058,588,013,300,541,322,327,759,142,614,799,670,013,557,
502,131,194,253,825,575,100,688,445,194,702,938,720,627,068,092,148,652,964,
255,160,227,220,976,821,097,364,335,847,750,136,565,946,589,106,032,226,684,
146,309,369,652,692,487,321,797,495,420,059,517,170,727,714,471,113,810,139,
013,086,036,279,855,912,075,465,076,779,750,869,894,845,181,332,323,623,356,
603,833,712,449,750,088,561,691,689,989,991,822,441,522,279,856,811,960,405,
903,060,701,639,315,422,319,357,989,083,366,680,902,186,010,589,254,732,340,
785,574,803,531,362,114,702,838,425,426,673,396,929,250,342,240,425,861,641,
865,841,080,417,330,971,120,381,419,348,814,506,187,915,181,806,812,610,385,
857,035,238,195,041,025,773,014,499,953,968,911,856,142,525,515,584,763,728,
154,483,290,239,135,215,379,769,920,357,696,308,111,827,847,212,590,286,756,
991,864,789,336,753,370,593,699,729,581,914,759,299,969,964,593,253,659,856,
503,153,806,803,575,414,106,032,077,767,982,113,278,133,123,657,262,609,256,
538,272,964,763,808,259,538,500,939,475,253,887,232,837,324,270,651,425,889,
160,878,645,836,916,848,854,399,091,839,705,049,191,553,859,678,473,592,127,
227,811,637,847,713,306,040,726,142,671,981,258,011,293,586,070,380,673,021,
483,010,008,843,091,610,114,233,752,002,277,786,386,958,494,293,815,381,258,
425,317,296,000,156,766,463,418,164,616,205,569,643,493,153,591,093,265,000,
880,690,989,735,146,834,961,057,584,025,017,199,835,806,672,474,654,207,765,
557,415,533,731,675,388,979,747,121,839,294,769,648,639,201,405,250,002,723,
401,407,805,551,983,647,059,146,366,744,114,406,546,243,489,881,277,391,446,
718,602,659,461,261,345,955,089,993,618,175,744,174,604,773,148,190,689,352,
982,410,494,388,121,928,633,998,257,092,580,151,126,281,883,415,006,580,563,
638,383,010,957,306,564,323,896,783,704,847,242,102,442,260,072,101,368,439,
763,406,926,323,478,404,692,211,566,714,716,444,704,897,444,167,411,151,802,
332,431,075,566,428,407,450,933,672,724,210,991,413,766,930,947,380,052,712,
786,309,779,016,805,751,624,750,219,548,083,751,264,243,842,254,841,943,227,
880,680,364,264,978,992,986,379,989,346,963,194,684,185,419,995,974,781,302,
901,511,263,626,802,135,472,652,556,958,158,530,994,982,299,830,184,866,368,
116,774,955,153,985,096,660,404,229,339,897,026,283,828,470,106,364,076,818,
560,039,668,813,704,294,572,465,676,962,285,972,830,216,830,817,467,494,794,
293,085,888,896,978,194,034,816,714,072,567,705,255,460,942,883,905,312,444,
017,721,470,021,675,955,828,188,845,227,258,601,960,797,246,312,388,334,127,
907,191,615,533,676,643,476,927,054,711,030,587,977,090,749,456,686,503,293,
058,857,611,511,755,264,662,318,705,893,825,878,793,553,839,032,317,194,703,
704,946,092,442,106,111,322,301,816,150,994,609,266,911,870,863,036,983,217,
523,849,357,728,716,376,863,878,011,931,337,639,704,401,929,982,519,892,113,
582,461,839,477,725,271,465,256,122,602,937,757,266,369,608,417,379,962,110,
851,097,632,603,434,775,509,042,494,327,296,335,581,532,007,026,735,065,918,
645,099,305,098,564,749,684,477,155,160,916,388,810,126,365,377,970,861,712,
056,907,671,223,182,109,080,031,986,056,075,660,637,130,833,846,143,412,960,
970,082,789,729,236,379,587,152,351,160,285,482,605,050,655,175,449,588,296,
556,421,754,863,894,813,860,026,436,899,191,983,113,850,853,589,298,434,510,
010,596,586,927,192,196,741,517,574,891,910,971,842,917,683,651,620,416,992,
224,360,292,435,256,267,199,336,044,041,823,655,426,735,780,245,659,470,181,
179,547,887,937,574,160,392,986,215,688,485,386,479,109,928,386,510,482,031,
046,136,346,120,895,594,360,766,525,738,966,643,935,859,138,484,351,047,233,
990,244,318,507,272,995,302,361,893,985,911,174,385,501,299,644,356,491,795,
870,196,678,624,316,767,655,970,925,523,298,253,693,049,233,165,934,630,637,
973,185,093,519,381,045,620,201,701,102,288,319,406,225,324,845,389,636,942,
214,483,837,749,221,303,648,138,663,665,895,485,683,436,443,927,436,401,475,
336,562,434,993,103,006,797,220,766,998,088,367,034,344,610,323,214,516,489,
217,397,900,990,185,958,772,458,069,830,691,306,258,000,331,716,333,999,886,
697,473,220,590,536,813,245,517,634,935,900,011,824,051,308,119,065,270,705,
299,102,771,468,961,807,898,529,783,278,607,622,687,843,804,870,051,316,835,
403,170,429,072,730,148,838,385,697,602,198,597,364,848,984,118,967,341,458,
306,229,057,960,708,814,607,784,843,030,311,928,710,192,278,791,308,589,913,
905,134,058,461,605,036,671,080,908,281,850,688,680,636,084,896,702,356,402,
593,640,490,767,251,929,496,831,462,225,815,331,772,966,935,173,283,954,184,
813,614,909,475,009,701,073,938,257,124,531,551,223,739,552,272,339,124,064,
529,330,661,733,973,595,468,230,322,188,647,075,193,075,414,446,491,331,611,
763,985,178,052,359,054,928,818,796,198,557,214,704,014,175,235,351,836,481,
410,809,430,918,796,262,881,248,100,436,919,648,118,409,503,517,217,247,112,
016,349,166,232,774,278,239,217,309,184,554,397,965,581,505,777,476,047,842,
680,603,774,949,018,065,648,304,893,607,587,461,560,860,095,895,459,779,640,
576,245,185,754,934,634,773,270,400,814,523,374,244,745,339,311,878,686,207,
488,284,983,832,437,879,026,033,248,792,068,377,821,075,721,541,900,878,084,
748,047,017,147,568,507,452,457,844,766,676,299,780,196,724,872,822,395,087,
887,926,360,866,413,894,459,353,594,512,108,163,270,820,453,860,574,234,153,
913,895,734,315,569,021,685,648,216,842,994,321,497,073,683,368,697,884,966,
595,249,321,759,469,516,187,309,506,836,949,032,048,483,460,755,549,530,956,
503,609,236,265,331,116,440,251,609,842,081,588,468,546,659,072,567,898,493,
106,883,966,490,638,207,238,013,761,614,506,313,058,046,820,859,976,508,730,
746,495,956,165,920,347,394,760,609,326,206,085,959,934,332,924,357,280,644,
559,112,047,557,651,211,851,992,312,882,486,979,600,088,225,414,749,478,135,
494,747,586,741,586,383,539,956,370,458,320,892,616,127,223,677,420,190,370,
939,219,191,439,591,158,327,185,591,303,888,830,078,674,648,790,719,645,397,
350,749,149,302,362,779,227,992,134,316,523,678,576,370,088,778,429,336,490,
961,243,948,638,068,993,591,573,240,105,971,295,114,280,971,262,353,589,612,
155,616,508,316,149,552,191,617,389,316,876,747,375,897,501,558,761,074,479,
132,139,938,377,682,820,649,437,802,690,120,871,722,016,688,939,565,693,548,
407,648,202,811,056,451,372,561,347,169,703,830,759,382,170,528,297,182,995,
322,427,860,659,182,299,132,956,389,331,534,503,687,731,829,676,334,099,427,
829,244,581,642,739,477,222,824,427,591,337,267,306,741,877,030,197,940,886,
933,046,530,318,541,069,107,714,483,303,341,879,012,221,309,399,532,685,937,
498,947,922,430,005,805,985,155,622,978,076,327,822,006,720,000,935,476,073,
422,790,963,560,555,846,637,698,461,711,472,125,873,617,675,088,291,620,426,
316,539,894,221,062,059,402,643,098,440,561,325,322,242,215,221,268,005,276,
549,094,735,988,864,064,936,995,302,812,699,865,848,842,304,190,307,018,478,
472,229,451,757,480,100,440,204,705,355,649,852,684,578,072,999,800,240,066,
403,085,107,460,653,317,118,112,495,989,023,659,334,538,040,751,411,081,723,
321,053,637,470,308,336,142,326,347,004,524,754,932,167,402,515,001,060,928,
687,490,988,203,470,964,842,694,561,868,947,775,672,364,859,563,633,323,637,
884,226,167,123,068,574,994,462,758,522,562,558,415,520,758,257,185,571,379,
179,092,103,142,911,289,438,982,125,791,529,311,291,072,718,367,937,875,549,
766,181,208,654,895,394,259,488,974,472,880,483,042,393,481,295,119,380,457,
428,619,910,290,911,012,123,424,895,111,353,427,432,260,148,816,748,549,499,
670,810,088,547,463,912,817,931,426,668,427,674,862,997,296,128,047,035,876,
191,383,803,160,776,150,988,138,286,752,782,113,268,072,888,752,073,639,491,
858,523,563,790,684,880,612,265,603,904,723,852,416,981,502,465,622,472,833,
509,178,145,516,238,982,801,064,816,277,747,684,348,704,068,491,577,703,288,
646,777,986,441,607,096,798,133,278,613,637,427,588,357,851,639,022,072,923,
639,355,405,296,962,846,996,964,469,997,237,275,101,985,764,901,679,907,354,
226,814,107,455,338,060,578,010,147,057,589,824,117,208,160,762,714,382,808,
287,828,135,365,231,399,208,790,137,947,955,500,652,874,365,132,686,431,105,
135,665,132,885,804,750,892,873,526,477,757,516,326,052,259,535,135,999,347,
040,213,470,993,242,962,544,614,871,249,041,641,749,690,668,358,310,221,468,
924,969,380,008,512,694,645,568,492,477,338,453,204,046,929,299,639,419,476,
835,523,263,952,550,189,345,061,326,667,781,349,083,973,444,922,795,361,781,
905,258,109,053,091,096,298,814,828,376,382,163,888,460,682,644,334,312,289,
435,478,123,955,639,819,298,174,423,982,711,689,385,442,246,691,700,346,011,
274,950,927,137,858,960,778,496,963,655,818,272,650,103,927,421,338,498,574,
572,109,116,027,995,331,255,440,388,348,392,669,758,576,180,485,562,246,926,
860,843,501,853,965,087,593,824,445,495,779,994,852,013,360,146,693,113,401,
308,210,299,326,908,864,357,087,386,364,211,740,215,751,231,469,301,477,935,
617,546,171,934,242,662,267,633,007,687,237,086,323,741,613,573,240,092,542,
648,938,295,162,098,806,857,736,359,636,034,505,530,192,502,853,688,562,741,
240,071,719,744,181,288,617,715,438,731,880,177,469,375,229,540,309,591,758,
215,887,290,701,467,625,074,679,955,629,355,801,484,835,372,918,208,102,943,
472,869,015,307,097,534,963,316,790,545,092,247,310,456,599,024,674,367,522,
138,329,507,569,336,355,422,551,639,206,810,596,107,076,271,348,762,364,689,
118,437,326,321,664,773,190,195,703,109,752,654,486,764,083,561,201,325,595,
507,208,906,782,080,008,198,811,725,455,094,761,358,360,234,398,495,847,258,
614,830,515,056,782,687,177,105,218,996,832,250,531,370,038,292,679,061,433,
768,760,160,230,854,667,042,241,075,242,871,811,095,397,755,068,311,479,531,
056,982,619,995,055,916,849,284,068,098,547,613,202,959,627,914,751,516,793,
480,140,986,793,995,917,456,587,223,445,719,573,855,873,506,099,446,245,140,
911,205,188,066,669,686,465,406,783,702,907,818,784,217,889,176,200,699,348,
121,109,732,476,131,871,053,852,099,962,020,556,373,171,547,178,858,145,743,
312,649,421,232,431,748,571,759,611,518,905,972,623,318,816,321,244,717,532,
575,339,189,016,021,643,996,696,465,609,594,747,721,067,908,106,682,000,850,
885,897,367,058,524,138,359,145,716,448,970,684,404,972,556,417,622,098,579,
186,496,401,080,689,516,577,258,987,179,341,916,020,898,344,629,342,041,604,
890,905,008,775,082,570,731,155,216,052,227,155,701,921,237,798,948,187,189,
271,468,041,059,277,026,089,011,137,760,472,971,686,316,423,413,958,206,430,
554,704,602,732,843,611,089,300,444,330,716,290,823,325,253,632,657,465,890,
390,348,000,375,867,725,011,981,768,324,902,277,211,611,684,005,682,427,260,
669,413,735,468,089,257,354,344,939,853,083,898,794,142,673,497,266,219,801,
972,685,391,322,191,092,335,243,022,743,003,394,965,526,696,068,500,470,053,
793,119,240,438,490,812,081,325,748,236,174,139,540,834,915,870,745,004,581,
438,425,479,956,651,705,467,256,290,764,485,980,076,966,196,183,943,952,081,
330,581,376,041,423,002,620,795,688,891,544,527,219,675,509,030,489,673,110,
709,010,046,085,985,395,213,045,471,446,838,275,503,830,997,221,320,640,265,
858,695,554,000,214,633,195,597,078,495,471,022,514,654,217,176,568,266,645,
108,828,463,268,516,676,991,879,902,546,816,139,936,285,315,208,072,434,911,
750,009,239,572,937,478,219,572,176,260,742,072,859,087,320,909,990,266,038,
555,775,005,831,268,851,503,659,500,393,198,135,478,700,627,354,053,133,145,
261,910,624,129,252,583,881,488,809,829,150,029,510,745,625,275,587,149,164,
489,812,066,183,910,040,981,343,680,060,617,936,320,379,211,604,204,022,908,
428,486,815,738,741,116,145,654,671,636,146,727,131,051,068,322,821,075,275,
310,980,996,387,342,014,245,678,348,162,841,535,430,682,784,084,852,912,748,
758,049,887,634,734,581,677,577,104,699,774,661,397,261,752,238,628,779,605,
677,110,057,870,212,913,504,174,366,225,773,847,602,941,070,641,337,803,575,
951,909,774,175,972,104,714,447,085,238,548,472,159,557,507,916,905,838,397,
004,063,973,367,186,769,662,338,356,104,059,724,697,663,111,665,453,767,171,
613,494,225,110,853,999,547,869,480,356,453,198,976,167,727,161,435,850,004,
204,313,127,933,101,141,731,423,448,594,506,483,204,611,715,383,782,206,874,
009,476,917,622,571,963,282,128,001,319,779,088,614,239,541,061,118,012,823,
129,115,124,862,556,102,018,386,337,810,222,505,604,214,078,076,121,034,543,
157,649,375,589,210,334,809,001,764,722,132,755,244,696,426,355,439,967,916,
450,063,139,693,265,073,217,791,868,667,337,845,071,458,582,725,591,299,582,
376,374,276,576,881,581,204,487,413,946,164,675,995,166,978,646,161,283,602,
312,231,837,307,339,122,460,744,764,096,784,853,892,104,871,299,092,026,992,
991,399,955,541,421,434,519,137,576,686,395,796,173,583,388,831,295,506,149,
441,171,466,862,467,291,473,208,322,569,156,278,056,215,527,941,634,576,729,
275,877,982,702,910,063,588,486,855,136,971,179,331,083,083,148,081,781,067,
137,612,909,570,915,780,615,636,390,160,838,093,013,843,411,755,807,423,706,
337,595,204,654,062,570,810,327,518,879,456,666,966,457,099,157,091,556,331,
520,218,950,808,559,798,501,987,478,451,914,428,772,488,213,879,019,628,669,
275,159,657,610,951,601,679,727,000,562,042,937,962,297,297,006,216,777,266,
089,016,549,758,282,467,627,004,169,631,729,606,397,470,011,339,622,907,973,
678,084,988,077,416,753,755,438,742,271,616,786,073,557,966,892,022,532,828,
972,992,336,072,474,073,812,170,749,450,583,481,778,602,930,403,229,754,390,
485,080,715,530,139,668,384,672,243,048,994,670,030,494,656,814,462,708,867,
919,457,945,394,646,266,018,634,324,815,336,717,075,067,167,843,063,066,826,
724,800,146,652,759,078,200,575,495,526,522,350,947,075,216,591,648,746,568,
932,940,112,559,425,659,270,118,074,242,119,776,541,285,019,295,060,201,157,
240,421,407,492,457,838,123,843,002,106,755,675,179,151,097,085,242,704,219,
605,290,201,987,624,817,705,416,872,171,618,445,591,103,791,196,855,391,271,
447,995,606,852,745,025,292,628,547,527,637,589,973,077,344,104,015,267,444,
795,011,029,665,657,415,598,385,904,529,914,723,040,397,991,058,375,852,494,
492,646,036,917,116,337,640,562,103,438,975,514,337,244,981,055,629,950,978,
379,064,603,200,662,292,140,482,188,178,079,353,434,614,387,866,848,155,601,
656,627,676,998,923,465,391,679,240,623,409,322,105,902,879,369,344,859,375,
196,252,964,509,944,212,575,715,105,558,925,480,451,864,576,709,275,566,236,
299,852,013,503,619,413,241,041,907,205,700,425,832,929,440,723,716,472,117,
174,703,640,832,196,310,705,004,228,424,689,486,433,561,536,327,072,987,402,
503,905,294,441,027,503,997,803,910,847,982,845,288,177,375,111,599,788,401,
213,884,686,029,147,109,798,140,897,112,675,113,293,569,581,916,407,013,906,
189,321,686,927,814,721,641,037,013,651,254,059,970,433,032,034,309,089,497,
780,660,929,529,519,926,007,779,418,270,858,640,161,028,910,452,737,274,414,
537,869,855,886,044,780,443,760,899,391,740,623,668,907,641,857,180,644,991,
934,391,546,520,261,473,303,645,204,368,139,389,462,556,255,102,769,514,092,
690,488,910,987,596,109,284,134,525,352,065,578,770,823,193,992,386,384,615,
056,602,693,094,391,147,339,879,589,096,584,520,131,877,830,145,681,144,693,
627,805,275,943,337,832,728,921,487,601,327,969,889,712,435,711,671,792,169,
788,546,570,258,339,695,931,953,456,314,511,880,968,077,406,954,105,825,254,
161,011,683,671,140,903,581,987,538,151,694,854,474,498,537,399,838,300,405,
284,420,329,826,888,618,850,023,204,874,583,954,898,688,493,394,174,557,606,
139,307,743,230,819,476,840,684,585,381,434,595,167,807,635,978,956,317,540,
579,156,907,744,813,870,636,996,136,834,704,748,449,867,032,086,785,666,108,
774,013,001,155,088,007,157,261,009,588,488,567,464,315,297,883,828,721,410,
686,636,897,647,228,965,263,911,190,339,545,189,633,325,467,216,867,605,246,
028,867,962,810,244,622,568,734,482,100,024,214,249,224,386,276,434,567,352,
343,890,333,275,366,010,110,388,500,382,518,840,338,413,017,943,978,486,207,
009,817,411,251,772,455,762,017,656,769,163,467,388,846,207,161,041,334,242,
775,176,378,183,876,330,459,994,367,144,723,559,488,505,744,231,249,287,005,
711,188,898,775,121,057,435,135,498,056,150,382,610,412,628,795,850,143,440,
254,279,969,872,595,703,420,819,602,531,486,140,775,089,101,753,838,646,438,
334,097,124,413,495,429,014,432,983,391,073,230,376,926,386,735,548,300,381,
453,175,042,407,735,306,011,139,640,889,031,541,252,761,000,677,905,818,257,
007,483,311,095,254,427,152,639,456,908,998,602,394,895,572,491,696,133,386,
246,132,027,279,442,545,926,644,026,106,156,015,944,347,471,255,772,074,196,
853,698,890,632,386,047,582,278,825,722,000,351,971,321,273,299,122,589,576,
332,961,223,981,712,436,206,883,090,219,524,787,046,786,694,462,717,589,021,
115,293,834,694,600,258,454,527,358,167,546,889,810,804,923,878,410,626,010,
262,245,553,780,803,312,626,865,891,708,582,257,682,613,167,958,341,018,373,
024,449,700,587,284,890,151,917,616,067,368,961,435,454,784,220,023,372,963,
114,829,519,183,482,954,684,493,089,232,843,759,903,501,814,014,403,018,563,
516,926,316,905,492,717,972,331,716,640,209,906,105,214,654,202,055,355,148,
181,819,200,532,719,070,377,364,167,961,090,449,355,147,293,716,253,936,949,
975,890,223,231,772,392,521,372,229,608,007,295,707,512,761,082,493,497,032,
139,036,678,858,367,942,034,974,507,942,464,926,330,674,324,632,469,432,476,
841,526,350,041,217,353,603,657,413,798,391,205,805,478,687,436,465,047,143,
856,895,855,087,932,565,814,448,038,169,977,100,901,478,583,997,302,259,548,
790,750,848,196,778,674,619,825,341,352,143,021,571,824,735,801,855,525,655,
387,600,792,894,647,071,334,693,149,106,718,131,984,016,622,923,503,893,040,
148,141,757,489,605,402,396,358,746,612,391,674,705,796,182,671,653,937,357,
991,811,912,468,363,528,515,873,791,740,622,940,649,346,330,309,940,151,231,
208,819,982,322,923,766,166,054,817,548,562,159,804,754,010,084,993,771,978,
949,932,695,487,327,802,060,567,278,544,779,817,359,371,700,442,319,652,936,
967,182,073,759,381,705,012,141,308,651,475,875,902,052,507,487,256,189,403,
565,376,805,322,215,753,959,645,632,908,214,711,325,991,399,516,195,636,207,
662,157,498,347,988,380,764,126,143,287,279,655,027,341,740,793,729,046,127,
877,428,710,235,799,602,809,758,161,829,595,345,746,010,454,205,916,362,183,
355,649,502,775,400,912,705,789,578,877,439,260,425,961,442,104,263,603,011,
201,954,009,391,143,847,839,766,056,069,986,364,284,943,604,885,381,394,512,
916,950,927,202,422,471,858,300,458,567,737,485,049,227,781,551,429,621,740,
392,752,453,488,986,160,282,087,251,569,246,232,458,003,062,056,219,311,956,
984,093,460,921,012,475,366,570,727,426,647,972,452,269,406,449,839,733,839,
049,818,361,148,500,176,106,752,078,071,989,571,972,205,003,523,538,909,089,
412,903,816,937,660,913,239,997,268,504,927,488,196,314,284,296,332,371,984,
749,423,836,794,949,956,985,546,285,659,103,311,818,434,100,679,722,116,190,
364,211,994,617,510,248,215,052,348,529,497,109,538,408,341,900,792,042,359,
594,810,626,176,379,438,454,848,946,263,278,467,811,859,060,851,865,133,136,
054,060,371,064,723,287,547,927,398,244,554,691,570,334,271,860,311,323,572,
368,628,171,514,129,228,297,379,818,596,598,318,716,089,967,041,216,141,008,
396,655,407,388,476,343,260,976,720,609,451,991,874,159,025,791,551,019,813,
880,841,075,975,544,032,578,926,563,567,766,900,390,340,444,469,382,743,841,
395,642,396,787,902,661,442,441,221,158,511,907,041,415,183,910,020,694,739,
659,019,582,879,800,552,423,106,965,892,945,663,719,773,767,857,688,809,843,
698,723,248,658,955,528,003,502,534,664,897,340,662,523,022,030,031,640,414,
083,713,568,057,631,352,343,279,762,659,904,228,456,236,333,006,973,302,796,
122,296,519,904,237,138,928,524,014,656,946,638,561,910,803,351,237,220,808,
651,597,901,606,794,542,619,784,238,018,875,809,974,757,569,336,056,784,404,
036,400,432,502,731,730,836,237,591,356,345,319,657,742,228,509,742,321,462,
728,664,192,010,444,477,069,760,574,982,204,612,803,635,861,782,994,646,860,
541,747,402,021,009,121,163,500,695,497,687,831,735,942,744,072,605,412,524,
747,632,369,483,711,681,475,599,680,949,655,562,682,267,164,449,461,790,912,
240,579,056,871,695,775,494,689,414,957,110,169,452,143,829,857,237,027,368,
788,003,607,919,142,808,508,009,660,982,050,909,561,345,067,564,818,487,732,
289,684,276,446,080,879,564,758,188,573,998,143,159,700,633,923,454,857,495,
578,492,327,089,379,437,366,308,904,208,833,902,317,807,083,731,624,982,101,
862,065,293,486,162,273,694,103,571,092,867,335,365,238,432,961,318,761,468,
866,118,755,789,429,181,693,906,034,583,286,804,958,589,404,165,306,478,945,
325,513,984,754,172,193,986,717,781,491,349,393,907,468,952,155,960,243,768,
843,107,507,746,601,231,516,694,381,214,006,250,429,087,667,789,974,845,953,
997,119,506,706,262,412,834,668,331,923,406,433,342,929,685,718,317,545,176,
476,661,956,526,354,372,040,043,986,614,716,364,814,244,063,063,709,521,183,
491,180,607,370,495,801,292,174,859,321,404,862,231,478,453,399,336,195,080,
466,818,585,081,979,747,011,009,900,216,075,889,843,065,364,421,005,426,843,
753,328,802,507,754,322,188,160,992,530,157,489,604,718,341,147,041,423,910,
662,279,396,331,058,619,349,127,763,215,180,020,397,720,738,781,725,553,367,
814,863,837,456,645,831,738,231,144,751,770,968,651,348,949,028,799,234,842,
398,046,077,028,718,879,642,367,230,950,759,827,609,013,466,293,934,809,289,
422,893,739,186,354,240,016,687,482,254,865,015,406,125,545,304,316,018,283,
079,599,982,802,837,932,150,940,883,934,045,733,341,514,672,308,059,443,504,
373,897,841,528,867,094,314,772,831,043,486,149,932,183,318,147,431,973,655,
587,206,727,175,901,453,380,399,674,584,802,376,570,577,016,559,165,219,996,
087,018,004,921,244,585,283,210,691,415,814,005,771,270,178,262,450,561,809,
070,958,088,193,967,203,406,905,557,100,397,408,813,396,392,907,726,396,972,
040,347,931,837,941,909,823,752,579,536,071,633,027,836,131,912,452,258,369,
902,727,586,178,768,082,325,494,124,690,156,822,799,170,355,281,788,182,614,
143,761,820,265,977,447,872,774,858,293,426,635,390,994,202,909,563,400,990,
847,671,781,927,831,505,098,101,172,205,066,555,146,649,055,585,729,234,692,
472,614,622,521,390,223,622,472,416,284,096,901,247,382,946,937,228,769,410,
365,956,606,709,606,978,988,593,962,763,184,514,219,462,991,812,842,795,936,
970,212,897,869,449,238,402,184,156,677,968,743,952,362,118,675,992,619,536,
589,954,785,853,703,485,563,203,630,082,275,080,697,813,546,021,050,994,156,
108,128,304,857,242,175,555,994,048,664,593,798,043,815,909,557,443,820,718,
991,427,302,098,831,914,532,262,606,132,503,622,401,689,864,884,375,698,805,
363,026,734,300,920,410,620,519,052,992,772,465,020,068,145,167,543,683,925,
538,223,819,753,056,588,874,337,231,397,221,330,068,722,697,797,190,191,367,
821,853,016,872,099,793,253,985,300,996,873,541,123,593,045,915,940,143,678,
670,889,907,710,498,555,843,432,630,798,050,776,365,440,963,153,562,864,966,
064,088,984,328,774,656,849,331,168,278,302,699,068,319,534,541,658,690,965,
718,778,840,513,902,318,220,474,905,446,148,303,870,252,169,997,708,322,502,
648,152,345,507,571,049,230,160,607,150,982,104,591,510,008,631,069,932,135,
463,535,842,296,072,850,781,447,110,876,954,157,500,320,455,271,555,268,210,
759,213,211,164,597,869,304,039,469,670,141,773,576,803,122,193,143,170,642,
965,826,962,478,319,720,001,445,143,693,673,536,134,092,901,732,237,995,137,
458,484,006,250,519,174,503,485,386,199,321,633,492,076,439,551,456,894,649,
865,128,564,068,238,277,269,615,197,934,260,660,712,090,834,683,066,681,531,
547,044,802,147,381,518,392,186,572,269,466,253,458,745,361,187,372,521,973,
212,875,759,688,991,544,857,078,097,063,073,272,676,367,443,984,155,858,248,
892,439,952,160,494,601,567,225,094,292,467,057,024,029,985,507,915,941,278,
093,539,614,105,351,897,677,015,228,069,779,379,255,501,611,530,857,667,297,
251,159,058,634,270,162,927,014,833,240,945,977,921,902,364,941,381,445,108,
649,077,268,575,357,644,604,263,161,713,128,762,987,944,519,865,366,452,287,
451,347,407,288,902,825,601,197,068,961,463,657,778,722,737,777,653,145,335,
442,223,027,472,850,425,643,565,491,479,956,832,896,649,350,101,108,311,013,
657,057,647,248,259,340,735,030,099,232,524,100,675,364,705,930,730,969,579,
897,494,448,443,194,526,027,065,512,374,963,952,055,755,988,864,436,376,722,
511,249,011,283,480,580,853,166,170,823,794,651,887,180,520,798,246,403,548,
229,275,506,523,890,294,333,044,380,679,529,811,663,876,411,087,725,162,923,
897,540,479,104,648,192,666,691,188,344,201,640,595,038,010,028,545,689,269,
116,554,051,249,220,682,789,838,762,383,315,112,491,470,950,677,399,962,941,
312,195,896,598,573,878,683,849,621,902,675,693,559,578,065,099,633,828,591,
924,501,513,367,640,283,304,861,877,547,751,289,093,895,754,036,975,668,445,
598,122,085,699,477,657,825,319,764,963,801,631,824,980,926,908,426,277,559,
428,544,361,018,938,937,072,169,730,307,315,815,389,656,739,373,495,008,114,
109,124,040,821,243,547,350,555,435,459,180,560,750,608,445,878,014,672,769,
568,385,967,070,736,578,020,206,446,040,154,735,000,628,579,274,052,241,039,
820,310,162,777,950,080,032,412,088,293,661,095,530,042,165,289,191,383,062,
357,709,848,467,274,176,668,073,340,319,992,115,161,069,932,176,655,944,181,
085,837,737,304,531,616,435,596,176,667,229,119,255,292,764,486,166,768,160,
665,674,987,921,387,891,435,499,912,946,475,674,192,058,356,410,555,906,946,
877,698,186,887,732,351,663,671,218,852,925,463,003,630,254,052,811,678,897,
740,048,030,821,227,731,344,375,807,474,728,106,618,652,266,879,190,987,324,
693,122,243,017,785,618,628,649,653,821,927,366,408,297,956,880,427,500,233,
077,409,629,374,115,864,550,163,004,381,248,998,805,933,986,102,382,762,990,
939,233,025,538,398,347,497,468,128,175,749,094,691,529,555,764,689,269,228,
758,444,766,123,855,757,700,411,340,259,180,723,094,541,231,327,304,219,404,
314,363,231,374,360,226,174,536,377,550,292,223,765,543,234,804,246,231,127,
669,189,875,395,265,922,037,745,120,008,581,461,188,974,962,132,104,785,377,
742,413,429,576,079,159,519,419,726,196,280,608,477,823,281,932,301,658,507,
237,251,334,176,278,216,684,234,900,357,153,083,169,315,457,274,944,705,861,
653,613,014,842,656,654,865,507,468,876,158,117,972,919,501,726,374,826,288,
418,930,384,305,497,524,361,895,081,564,535,091,925,165,334,119,764,288,739,
751,007,506,016,205,663,184,614,701,098,187,711,776,180,180,554,676,345,690,
141,937,670,232,254,004,491,111,101,051,534,211,949,935,300,607,876,095,240,
793,740,737,776,362,879,075,814,708,385,766,402,282,000,335,378,152,835,590,
756,049,883,961,798,924,214,245,264,415,417,429,334,917,058,552,435,907,881,
036,462,532,076,645,637,587,251,202,069,292,845,889,545,557,742,844,619,782,
806,736,920,315,068,768,390,743,096,254,340,931,630,141,801,181,292,893,517,
806,984,935,605,682,834,492,695,702,377,928,088,953,804,535,646,057,721,891,
067,104,725,145,915,372,650,940,885,847,481,872,300,768,878,386,389,619,493,
179,845,333,617,706,670,348,069,131,066,359,510,903,087,420,435,243,612,372,
341,078,637,059,608,440,708,702,462,935,626,631,834,764,811,303,810,386,781,
235,674,357,682,459,341,253,872,859,690,530,719,927,776,651,674,727,667,723,
460,156,565,315,688,780,291,587,775,248,762,903,410,873,234,192,723,492,246,
531,171,035,874,921,316,911,318,967,421,256,032,167,079,155,986,387,620,283,
780,504,661,403,518,182,434,255,883,647,475,630,197,530,472,657,978,475,232,
274,521,683,341,752,695,456,778,463,503,869,916,983,461,768,125,607,731,127,
901,740,820,222,825,028,500,844,816,412,883,189,246,637,142,154,669,783,232,
126,736,685,593,866,109,070,475,197,233,363,141,552,391,165,523,589,483,984,
556,337,648,225,878,256,548,227,940,463,695,803,112,038,678,774,300,666,408,
251,607,987,278,511,119,206,233,024,455,962,261,712,834,207,607,804,667,741,
566,667,799,484,643,087,080,468,530,248,629,431,902,045,987,382,825,339,156,
599,752,994,511,144,105,501,263,922,827,076,142,154,514,191,671,906,793,703,
682,557,758,244,101,072,465,511,448,836,988,775,858,961,671,012,264,714,194,
101,153,305,846,071,557,918,487,104,309,231,316,373,050,154,672,883,199,054,
441,741,454,554,067,242,250,089,703,418,849,410,348,182,425,045,970,214,005,
149,766,713,915,681,165,123,470,003,244,293,144,610,642,663,177,541,967,041,
848,847,621,061,368,576,704,062,507,455,499,064,971,902,689,888,746,433,615,
008,649,152,495,243,619,194,167,576,845,776,163,613,648,495,153,075,277,366,
347,747,680,216,401,554,143,036,894,794,612,798,968,744,606,984,735,094,274,
064,713,917,734,333,735,494,379,371,798,143,610,093,595,168,346,090,402,256,
811,949,582,630,277,548,579,418,803,288,742,870,788,749,775,270,798,393,854,
699,788,455,937,489,382,187,491,349,096,829,138,168,650,659,311,021,001,640,
504,348,509,997,777,282,532,233,617,532,617,309,588,355,198,859,280,482,267,
548,998,698,742,087,149,596,379,295,008,531,735,377,809,300,238,206,152,150,
923,211,688,722,899,487,705,503,893,203,475,208,703,500,115,187,019,715,478,
837,941,373,451,515,725,729,138,716,930,072,498,576,945,109,232,377,150,929,
071,904,746,752,621,511,903,638,659,621,975,692,270,916,389,778,890,059,385,
828,955,533,850,210,690,370,849,500,972,296,369,234,088,785,218,521,730,105,
387,834,699,588,866,027,720,946,679,424,023,592,848,124,404,530,151,403,151,
405,073,263,118,394,630,987,454,545,745,395,197,744,599,345,795,381,923,465,
616,737,027,124,959,047,277,297,018,842,887,787,720,542,318,391,857,898,905,
517,532,238,418,918,844,356,335,744,832,276,639,051,675,374,871,992,383,038,
847,632,740,927,618,638,298,264,655,401,345,216,000,737,651,979,884,625,667,
571,956,427,150,656,912,376,796,480,418,445,309,653,699,401,132,874,422,370,
719,915,101,628,704,868,137,735,367,361,494,248,808,533,630,950,973,555,041,
370,412,952,380,945,144,358,098,823,897,434,647,489,039,148,885,235,577,536,
381,886,315,745,322,395,501,126,487,749,738,270,545,512,629,136,836,441,658,
729,414,397,086,677,683,913,500,065,298,698,910,191,877,887,109,245,678,366,
325,756,759,393,504,193,911,692,801,240,802,128,116,679,145,585,485,110,604,
514,212,444,943,371,935,377,707,336,336,865,095,188,157,431,735,084,318,421,
907,943,010,361,763,049,539,785,607,892,778,064,211,892,453,368,017,154,816,
596,927,596,517,667,180,090,385,391,718,989,907,332,950,795,253,132,172,699,
330,912,380,829,270,211,333,548,683,683,125,226,743,278,031,691,132,140,062,
249,656,865,212,125,638,439,863,395,502,132,877,136,861,040,167,348,384,733,
712,870,488,574,926,131,188,680,727,507,134,838,423,425,109,726,302,928,841,
013,966,182,331,996,815,556,357,627,304,213,629,550,271,886,995,644,245,140,
088,590,355,695,494,434,591,677,406,389,199,018,257,060,557,800,976,656,186,
095,320,230,567,434,683,115,851,244,891,497,251,647,166,677,331,136,833,228,
981,065,589,372,938,425,650,851,050,165,106,906,797,594,576,853,047,009,302,
978,322,844,745,589,842,974,811,844,938,755,765,715,093,361,038,677,473,795,
257,681,069,290,007,364,047,832,696,626,857,558,345,458,582,306,162,628,768,
386,032,965,437,552,823,750,675,100,781,515,342,775,791,621,742,204,142,681,
875,471,388,879,584,646,457,385,748,721,419,110,884,995,870,363,883,689,240,
518,852,395,750,801,206,123,937,436,336,746,602,357,349,188,392,192,705,410,
088,206,013,570,473,742,647,336,602,709,463,446,905,659,954,497,761,020,474,
981,390,368,365,322,439,315,044,681,181,835,652,282,332,092,234,150,714,419,
365,040,821,650,509,040,994,390,961,793,956,853,585,574,798,405,888,046,904,
606,617,646,295,852,703,649,981,809,757,772,264,818,722,773,975,258,431,225,
672,926,162,927,009,940,864,171,915,678,273,507,181,616,231,784,203,883,704,
896,180,372,014,499,448,887,954,506,036,324,082,581,936,493,668,245,945,057,
963,658,239,961,929,715,978,265,521,670,781,157,189,394,182,347,463,603,364,
754,598,354,668,494,268,877,185,636,494,838,820,256,050,737,601,259,341,222,
186,996,299,832,242,155,987,281,450,877,527,776,786,785,764,762,176,355,984,
909,190,872,581,407,047,909,109,169,696,808,965,834,749,325,124,935,306,712,
058,542,457,107,442,055,723,774,349,155,761,684,588,020,613,099,295,969,802,
100,448,255,044,892,166,385,805,247,950,967,651,404,327,045,272,560,321,130,
002,984,088,144,864,770,020,766,041,076,855,784,998,565,239,387,537,992,415,
173,483,845,242,714,633,944,298,383,987,490,937,325,040,447,610,240,093,906,
006,786,231,264,086,048,188,588,343,996,245,532,294,332,267,005,541,467,258,
881,137,645,040,548,844,857,401,282,597,069,430,570,456,260,669,496,618,127,
747,023,765,324,924,448,127,664,280,999,183,635,709,677,288,031,758,978,838,
306,275,226,194,177,249,028,410,678,664,729,389,254,749,306,176,059,763,293,
527,915,913,861,041,398,054,752,657,293,327,135,092,923,899,783,875,173,120,
769,758,733,959,687,966,127,936,555,585,821,692,759,271,397,347,339,426,693,
955,485,935,299,811,961,055,814,526,589,518,572,031,029,148,851,586,755,984,
869,447,020,871,146,386,770,591,031,699,554,057,069,565,378,950,189,341,827,
361,012,700,931,971,130,608,853,505,169,389,182,020,750,863,165,115,695,417,
653,406,708,722,880,318,951,790,564,949,731,914,418,247,632,564,757,291,986,
049,928,683,408,982,099,369,171,712,117,300,076,274,478,085,663,500,840,542,
640,357,395,163,594,816,583,332,849,346,092,676,787,683,245,058,247,349,570,
062,411,657,012,735,815,204,184,774,932,571,923,295,637,800,283,824,109,096,
837,837,187,695,466,835,397,219,173,138,091,256,269,831,878,407,133,367,265,
794,803,773,391,276,489,879,665,666,351,119,096,936,338,297,168,127,782,841,
081,632,861,580,933,823,182,261,346,168,161,342,746,767,118,138,088,397,376,
707,846,325,152,223,387,930,529,194,058,604,666,912,127,888,836,817,980,693,
724,227,181,600,414,760,845,847,367,040,234,415,892,573,878,297,511,247,934,
374,311,397,307,516,622,988,513,403,628,386,980,241,084,457,986,913,568,129,
380,758,087,893,675,975,475,646,911,700,446,381,315,206,235,625,979,466,808,
157,008,712,456,995,488,608,550,036,882,998,531,096,522,131,012,956,910,512,
331,284,701,546,089,609,558,298,484,533,360,577,507,006,156,738,804,606,973,
311,478,273,791,391,122,581,605,249,121,106,901,595,789,746,201,189,592,946,
360,115,765,453,602,877,714,501,050,504,021,401,864,199,284,291,321,657,314,
162,335,716,116,942,491,323,499,137,707,048,516,397,191,292,646,031,290,692,
534,233,616,285,983,059,631,748,751,560,514,111,524,215,859,603,517,567,962,
155,324,787,154,104,324,821,720,755,871,752,867,994,341,471,004,291,189,381,
995,794,798,620,733,644,750,315,231,586,371,075,255,277,162,079,230,896,346,
813,096,827,026,478,136,684,957,579,680,668,775,263,815,751,091,618,898,325,
729,813,960,555,558,835,831,235,883,930,529,389,435,969,194,860,022,241,848,
915,486,306,931,122,104,702,846,103,663,759,924,617,045,169,291,731,206,632,
429,924,937,035,477,302,977,915,983,713,336,245,179,861,755,162,998,176,522,
258,038,479,358,831,343,391,684,490,295,002,647,620,885,552,111,375,565,136,
190,121,397,707,986,550,936,799,060,298,016,236,109,568,360,036,908,921,369,
582,116,431,962,554,293,582,902,543,050,237,649,910,093,505,010,697,818,324,
763,656,404,182,955,600,868,095,987,728,444,200,933,719,065,304,708,903,220,
394,849,996,335,982,463,339,290,814,416,132,889,223,523,498,085,624,879,319,
017,869,385,331,215,149,498,871,946,891,884,974,212,014,389,482,776,943,856,
925,474,106,508,823,568,005,971,459,219,429,092,347,343,540,040,503,300,091,
575,721,400,563,197,020,157,641,216,249,403,652,334,550,480,664,126,229,818,
043,674,338,807,715,312,839,108,136,135,222,116,794,989,005,120,704,714,775,
264,863,786,240,926,238,265,878,870,789,987,477,055,086,714,457,382,987,318,
426,632,966,762,469,029,580,790,659,986,172,623,447,462,386,944,023,044,912,
975,695,090,437,972,257,247,153,098,549,937,021,605,116,447,649,171,142,930,
460,805,677,963,897,650,134,507,672,600,799,850,381,574,198,316,105,371,520,
228,898,857,371,638,585,337,850,766,886,115,456,748,178,779,436,715,536,555,
517,535,249,768,223,999,874,787,622,814,616,611,896,106,293,858,781,702,637,
070,974,773,981,328,446,167,193,569,226,394,706,321,141,800,789,347,663,978,
543,528,620,878,192,840,510,235,256,617,851,494,722,094,034,242,477,437,735,
682,109,180,311,219,631,601,774,322,871,116,674,968,740,422,072,168,284,930,
495,575,824,521,846,463,212,487,897,240,690,123,126,017,826,584,194,826,431,
132,325,368,513,128,261,147,472,791,347,463,648,652,569,903,762,821,311,153,
391,249,487,391,708,072,443,602,717,857,465,559,121,983,815,108,537,452,077,
477,358,881,251,527,045,639,534,530,057,777,893,871,760,991,683,542,782,794,
804,645,049,693,963,147,948,139,513,096,541,443,519,895,176,581,083,529,184,
923,729,667,171,318,923,908,778,039,080,802,080,014,163,826,687,998,873,544,
414,806,076,878,371,114,317,094,315,854,036,649,343,426,523,816,084,586,717,
078,972,809,850,110,881,589,273,378,577,760,971,487,595,672,329,927,371,732,
499,811,007,963,511,454,846,582,791,169,914,905,265,345,124,088,603,590,377,
328,466,174,349,098,946,637,127,791,834,524,006,203,889,041,229,885,583,265,
158,414,766,822,690,338,748,369,627,810,820,291,162,949,356,706,489,459,224,
350,367,465,273,342,747,110,227,617,870,424,265,064,593,730,743,148,999,850,
732,032,712,869,589,450,359,271,216,429,372,607,658,468,447,431,135,729,621,
826,973,421,562,665,025,700,776,985,267,551,020,161,285,717,152,360,594,387,
785,571,218,267,499,150,984,872,757,587,546,857,749,395,160,651,316,643,793,
783,733,545,241,329,024,620,048,706,960,652,847,195,067,155,645,522,759,246,
462,429,805,907,130,106,924,824,554,513,726,227,202,955,720,851,245,578,906,
522,259,616,841,929,663,780,042,034,955,235,842,025,517,970,362,191,418,129,
539,966,856,695,578,011,877,264,934,079,955,344,988,643,137,986,748,632,116,
370,983,842,441,243,324,571,126,783,815,864,392,605,941,530,448,226,527,027,
236,480,918,215,225,064,562,868,138,381,676,650,264,896,020,853,424,215,451,
292,745,661,652,472,926,731,298,483,792,441,357,657,818,897,722,503,468,456,
350,896,388,770,231,803,626,278,714,189,905,670,456,937,876,570,540,844,582,
176,667,540,833,818,836,103,430,633,115,605,885,473,026,115,160,902,824,920,
390,064,953,343,983,259,750,857,095,290,075,137,592,678,754,565,964,299,571,
925,725,096,662,845,151,786,299,731,025,179,883,335,741,159,059,905,238,053,
940,270,818,781,471,921,246,562,566,592,782,395,155,640,557,858,510,653,547,
345,897,684,800,221,357,269,968,223,602,900,640,569,509,214,577,090,564,169,
256,627,138,203,776,482,103,819,345,652,211,582,380,434,163,244,781,596,770,
252,469,143,488,901,030,745,939,399,774,310,240,515,201,174,656,818,870,066,
051,371,876,827,091,566,829,532,296,738,415,149,454,402,168,823,370,935,886,
495,547,211,407,728,916,660,023,283,192,191,445,423,201,188,910,121,798,079,
159,826,817,024,505,445,021,828,890,370,622,733,193,497,284,345,770,722,213,
412,155,175,078,081,703,451,657,878,754,266,604,613,583,874,505,127,959,229,
598,486,895,287,404,350,980,831,775,704,094,753,248,836,552,322,093,528,832,
773,526,243,038,862,633,445,328,903,079,921,460,939,518,944,892,543,964,431,
385,397,907,368,399,109,734,689,020,023,061,205,959,262,602,094,243,908,634,
086,686,153,961,011,900,914,284,083,585,937,833,513,193,873,447,080,779,711,
757,645,669,952,152,313,947,105,906,880,675,461,677,884,990,765,497,735,323,
535,322,637,314,049,330,472,677,754,659,500,853,877,996,151,292,114,185,941,
781,060,855,059,053,461,839,124,100,764,443,146,055,744,098,573,163,619,841,
724,318,485,683,064,120,042,625,984,551,110,504,846,544,281,076,237,613,120,
592,408,812,669,006,546,330,842,188,672,845,351,465,129,832,007,099,134,970,
049,051,769,328,259,495,250,405,102,099,357,170,115,635,756,570,724,498,007,
604,517,624,225,999,028,498,036,585,614,288,422,967,832,972,017,770,714,822,
263,816,459,573,176,451,402,225,805,264,792,049,559,815,576,290,014,576,280,
783,164,215,208,844,305,403,988,089,724,761,570,331,667,240,355,522,032,242,
902,338,248,671,645,179,249,109,229,642,625,095,965,132,696,921,267,180,206,
960,845,172,506,409,457,379,746,688,665,364,685,330,757,344,956,428,452,513,
526,426,895,699,821,487,713,871,741,554,548,137,962,951,424,114,844,211,024,
852,928,015,656,044,039,121,764,605,054,567,806,446,405,776,651,270,231,202,
277,529,506,149,169,536,856,102,236,250,790,080,592,556,633,496,042,951,793,
649,889,153,162,450,959,313,415,956,881,379,287,989,628,480,851,930,299,464,
259,846,853,086,289,623,188,695,236,418,874,602,418,289,527,512,339,056,528,
717,116,484,462,684,849,607,196,613,346,934,126,575,117,902,172,371,974,829,
748,895,049,606,595,632,277,702,619,962,844,660,504,752,400,829,080,867,533,
813,987,886,307,267,365,551,820,736,424,452,755,753,224,452,285,449,570,434,
031,616,786,377,179,262,420,324,045,734,181,301,475,494,509,041,684,134,578,
034,051,401,846,567,450,561,773,441,713,126,845,159,375,426,491,853,015,039,
434,441,175,624,095,177,126,168,158,882,766,672,820,841,134,020,112,016,371,
100,583,732,021,056,909,282,392,682,866,352,212,304,421,217,844,453,898,223,
355,786,294,948,236,428,074,309,413,862,600,673,849,966,439,545,144,813,678,
154,984,701,031,538,179,034,508,985,845,891,270,842,021,519,205,965,117,765,
027,270,631,088,450,093,015,845,879,008,686,528,502,946,040,790,945,095,147,
892,261,417,791,786,437,968,262,531,961,378,622,344,744,943,815,659,395,568,
391,256,660,009,825,360,275,644,818,363,310,305,706,391,844,222,246,237,756,
577,641,217,081,256,624,162,811,623,244,132,134,842,741,501,169,352,002,025,
266,795,011,788,558,556,785,890,105,023,872,915,549,661,911,522,822,393,511,
134,382,697,545,945,638,842,843,048,029,764,925,562,535,352,726,517,421,631,
227,270,554,739,171,329,109,868,172,004,006,720,409,842,192,452,539,170,729,
063,145,405,151,953,860,369,434,998,311,815,058,346,204,810,999,553,994,284,
490,048,600,935,136,755,408,957,202,287,812,037,707,649,379,328,562,817,442,
617,271,705,927,490,370,858,705,002,789,811,699,649,227,205,496,592,917,879,
043,273,815,091,204,166,281,254,355,921,087,087,998,022,845,525,500,448,611,
253,865,685,576,355,395,185,675,179,680,921,798,281,171,669,717,065,744,320,
718,268,152,867,357,088,475,142,037,029,863,624,987,567,545,681,633,348,866,
467,635,751,151,629,275,957,832,128,620,813,184,176,158,724,448,762,063,400,
183,545,579,974,551,956,413,144,440,199,821,398,284,362,123,422,549,794,447,
011,584,702,342,026,502,947,448,542,204,262,684,262,646,132,825,053,091,420,
383,278,895,885,054,517,466,455,702,445,721,691,548,079,910,037,189,329,725,
705,124,750,695,191,226,547,794,136,730,892,315,188,800,181,418,040,988,200,
952,360,706,607,749,659,988,698,756,349,829,721,992,506,121,023,274,539,060,
331,827,691,606,290,030,831,123,602,492,668,387,646,349,896,922,299,178,869,
143,136,340,003,480,518,587,658,814,527,774,179,721,771,276,934,983,071,752,
715,310,419,064,830,022,537,953,529,094,431,548,746,992,133,589,754,677,646,
195,863,320,355,454,809,416,733,523,042,825,343,176,780,179,280,113,932,357,
053,259,546,832,303,783,955,424,773,556,439,431,706,581,136,777,458,369,770,
881,634,145,971,719,598,668,500,556,537,790,122,507,796,268,083,622,686,542,
356,375,071,730,039,780,780,450,812,216,804,241,603,453,462,015,462,184,296,
806,169,341,201,751,697,953,655,450,125,532,305,867,129,313,442,333,636,831,
568,458,694,997,137,389,675,115,421,873,951,690,192,511,771,000,205,516,563,
616,426,655,390,556,286,505,679,437,975,381,854,986,427,242,357,071,668,723,
812,898,711,235,363,022,431,010,340,524,411,460,003,891,314,418,433,739,939,
190,824,374,986,790,180,029,458,058,235,278,739,888,025,552,611,456,093,746,
763,778,429,784,291,436,840,874,136,062,414,959,814,358,644,380,911,959,227,
927,496,935,870,665,695,771,640,395,648,279,246,906,296,945,776,101,260,170,
746,478,990,446,540,930,335,491,241,573,378,533,720,510,924,807,112,048,129,
610,326,977,927,559,525,499,579,957,538,312,374,969,560,604,689,434,689,074,
626,464,098,495,734,633,146,238,087,232,708,646,944,955,408,138,793,559,572,
668,501,165,682,689,323,961,731,358,187,617,513,386,320,902,443,113,841,878,
188,931,063,497,877,452,935,756,255,001,473,645,728,755,229,761,250,207,679,
183,427,370,785,234,810,174,623,739,632,783,978,625,639,460,492,645,143,896,
893,060,034,556,632,883,689,003,507,182,622,205,629,687,419,962,314,405,133,
958,247,771,724,152,786,078,066,907,361,682,352,742,134,035,044,569,609,043,
163,113,661,171,410,947,363,685,715,823,303,644,616,250,598,541,999,951,650,
513,157,043,209,972,606,778,121,975,658,098,146,810,894,967,515,027,414,196,
195,998,939,063,008,078,023,548,055,461,622,288,179,330,452,157,224,097,356,
063,550,811,879,970,768,108,292,935,063,758,049,215,317,305,841,067,801,230,
300,028,491,940,368,156,496,516,520,771,236,743,085,340,769,933,651,228,423,
463,213,275,823,405,308,762,912,692,222,868,113,935,906,306,120,396,691,684,
518,700,783,445,252,159,059,128,454,465,130,713,374,924,429,677,674,257,029,
485,037,016,299,197,087,361,914,015,602,861,188,922,296,224,501,159,139,224,
199,034,713,231,960,312,421,327,039,700,816,724,227,020,525,918,282,423,973,
172,940,849,316,752,802,147,796,877,058,414,995,385,126,787,847,510,914,284,
867,618,814,408,510,843,487,752,277,857,748,834,732,253,778,341,781,575,761,
905,233,450,858,021,447,136,153,984,060,856,539,840,829,387,726,381,032,148,
271,598,752,675,966,084,744,837,482,547,979,059,002,119,966,601,112,769,627,
362,626,492,981,681,884,619,793,302,304,618,501,452,113,390,109,955,389,546,
662,225,986,314,756,585,369,716,721,100,634,153,427,975,339,090,619,724,677,
645,499,628,154,119,607,846,298,085,419,266,963,522,314,875,152,909,695,802,
113,772,715,080,593,054,420,158,252,551,805,137,037,699,751,206,688,581,978,
077,293,384,404,021,531,553,175,770,661,366,461,375,849,765,050,768,589,998,
575,669,633,439,490,092,247,094,695,202,389,915,534,617,627,466,738,130,126,
516,616,781,801,901,296,670,433,390,532,728,898,187,629,046,963,709,841,815,
856,014,793,405,580,612,626,298,318,363,043,242,310,992,328,586,448,835,767,
180,164,379,336,031,944,486,184,684,211,437,917,124,321,276,149,812,354,715,
691,719,510,714,867,666,610,377,463,741,822,223,878,933,539,534,802,516,475,
928,628,189,404,943,954,341,524,026,310,751,925,960,794,614,303,593,218,621,
011,277,713,344,612,759,517,408,891,655,125,935,321,167,169,547,260,267,986,
968,942,430,004,868,708,814,100,125,039,407,235,805,198,537,646,236,728,266,
115,144,855,280,895,281,343,992,159,223,112,411,734,184,881,335,035,205,558,
529,558,107,955,965,797,359,140,133,594,205,627,254,766,088,003,657,872,776,
197,530,158,123,874,581,335,771,332,892,429,621,973,596,038,553,876,544,627,
969,244,141,067,109,041,041,389,592,868,695,528,025,520,661,530,315,527,495,
340,787,901,095,374,585,305,152,969,214,008,352,609,763,372,563,996,264,502,
944,401,725,145,785,585,008,103,406,471,869,440,068,194,402,466,921,302,907,
634,636,570,989,720,046,594,506,998,668,211,385,281,202,289,564,868,088,072,
986,467,722,885,895,485,902,194,311,809,809,748,035,259,028,022,170,727,191,
856,249,082,541,988,650,466,120,035,766,230,486,153,005,769,833,933,256,623,
226,276,441,556,157,065,795,852,683,052,333,695,895,432,860,149,015,135,074,
032,888,189,784,368,394,648,938,640,813,908,247,606,444,930,989,131,131,974,
727,050,267,501,545,008,870,057,389,675,683,706,106,371,343,483,663,772,434,
763,889,982,568,540,026,337,207,293,784,209,390,664,982,467,428,656,564,690,
265,365,038,987,312,257,505,844,781,306,856,682,835,387,217,941,906,150,900,
269,152,842,683,214,092,191,423,077,949,603,712,388,900,257,877,545,190,817,
161,854,824,658,160,315,413,793,211,654,075,472,333,767,217,750,818,594,191,
483,755,233,487,149,542,211,574,106,385,799,124,086,450,930,708,672,296,313,
063,302,490,185,003,952,410,273,936,110,557,634,856,560,225,303,419,086,151,
954,425,690,953,226,338,510,358,287,460,646,872,163,822,001,091,430,290,975,
623,502,356,411,506,364,493,673,510,019,087,961,719,536,740,551,791,767,640,
293,974,800,051,741,517,510,481,149,376,319,834,631,562,585,220,491,797,486,
295,658,109,403,362,966,366,366,131,160,191,862,626,508,845,234,675,383,740,
955,865,779,349,448,690,962,639,635,393,466,566,300,813,352,866,644,427,068,
133,342,126,627,316,725,030,993,678,688,510,472,020,424,257,852,001,596,874,
439,372,561,127,775,476,192,933,102,698,569,817,507,624,317,244,122,822,938,
894,167,940,046,639,122,765,878,740,448,057,384,801,509,371,246,137,316,373,
357,910,790,539,217,429,946,327,612,710,259,496,734,504,719,329,157,534,499,
865,971,959,183,057,369,789,263,874,408,820,156,310,855,665,143,248,238,555,
412,663,488,936,785,791,262,059,160,046,661,631,443,383,453,413,451,421,084,
660,131,769,249,684,033,572,799,057,261,425,346,224,072,193,500,466,451,078,
228,094,020,539,576,081,965,742,209,476,670,242,724,382,695,909,966,002,002,
329,606,480,289,327,837,714,566,575,843,852,443,388,403,502,261,639,902,117,
637,455,685,232,106,727,578,194,500,878,891,661,591,933,508,543,948,483,135,
946,436,993,923,047,014,956,551,394,367,077,665,075,673,026,820,556,470,045,
509,096,712,627,427,901,628,028,756,295,646,647,875,550,469,309,579,923,838,
115,649,618,088,090,754,927,116,555,128,913,315,762,169,781,338,135,810,699,
429,663,772,713,740,290,894,484,509,752,197,261,325,839,904,174,928,924,617,
924,197,319,243,699,769,936,757,790,510,964,133,976,981,765,865,334,128,704,
849,372,071,532,047,687,956,047,828,545,041,523,212,238,812,579,543,606,942,
122,510,854,792,616,222,947,643,391,665,694,127,987,663,973,223,037,472,501,
394,341,441,104,556,842,021,934,909,206,282,000,233,391,742,985,629,022,490,
417,874,559,570,786,266,483,387,078,046,340,719,609,799,554,495,717,165,886,
350,408,161,454,882,509,395,748,839,322,087,770,793,164,211,744,115,023,429,
966,731,354,772,270,167,309,939,350,020,312,952,845,251,750,182,197,909,258,
899,562,864,766,034,726,652,596,775,674,147,340,841,841,462,596,249,832,957,
309,247,349,661,331,043,219,201,633,200,197,133,395,548,493,425,405,020,030,
720,823,277,821,440,633,144,217,705,113,330,976,866,741,121,433,011,384,071,
583,585,799,312,817,640,631,019,615,171,225,185,115,704,051,146,187,269,170,
178,240,719,245,081,409,313,625,132,340,978,613,893,345,296,597,564,724,172,
751,607,455,575,874,338,825,862,070,528,640,873,272,459,670,829,620,882,076,
272,850,990,176,244,306,757,667,839,026,304,913,802,763,415,422,201,197,917,
336,273,139,821,771,431,545,426,651,824,866,960,041,967,845,138,961,165,324,
815,526,185,627,608,144,954,006,821,615,360,905,430,343,064,439,915,787,040,
910,793,242,013,117,798,305,434,637,598,529,551,251,678,941,677,111,208,505,
722,074,638,537,798,264,314,026,155,041,504,367,008,041,449,195,212,969,963,
838,277,554,661,036,481,644,927,186,306,383,068,431,805,635,117,915,118,408,
016,413,500,670,173,227,013,981,501,289,060,959,475,180,704,366,730,919,443,
405,318,639,842,291,398,510,790,536,311,870,376,189,110,168,569,563,446,254,
803,883,563,016,257,279,572,346,000,358,716,586,135,697,223,085,135,610,802,
295,757,453,147,571,349,128,427,160,960,280,975,534,820,305,921,199,185,231,
257,209,309,411,050,237,800,396,092,925,520,643,387,580,692,372,596,097,564,
964,466,219,745,531,311,108,124,347,585,985,725,691,550,043,094,472,405,615,
641,919,682,546,235,278,756,271,997,037,678,675,642,053,871,869,206,213,427,
057,583,468,531,054,160,430,814,934,523,017,898,316,604,996,608,315,600,022,
347,753,486,924,664,650,959,767,089,096,770,765,759,219,963,197,563,744,008,
661,294,583,997,319,765,500,240,683,247,389,883,650,606,831,107,806,478,317,
206,645,777,812,300,769,078,522,478,427,160,709,700,521,247,368,280,609,309,
977,370,860,920,582,399,447,050,251,098,836,138,810,318,359,628,925,288,600,
407,236,013,022,893,817,936,362,430,534,948,179,756,931,109,948,574,159,374,
983,471,180,066,801,812,321,403,076,682,672,102,373,438,429,891,114,772,875,
802,376,731,022,939,615,892,085,311,864,270,564,849,085,986,078,134,583,477,
873,107,828,381,027,959,780,219,198,863,599,505,970,927,218,277,330,921,015,
545,101,670,063,952,345,178,743,277,948,302,432,936,220,172,558,211,170,270,
441,463,406,959,015,036,042,766,208,285,838,210,974,417,015,042,457,713,806,
984,997,268,908,244,939,334,680,571,477,172,199,365,559,744,508,273,024,359,
821,859,492,146,993,328,141,210,273,867,003,032,905,723,308,297,032,102,873,
045,085,816,335,191,746,518,399,099,356,290,557,957,438,756,155,507,437,119,
233,278,111,077,254,155,889,482,109,951,091,822,303,724,946,724,908,145,686,
428,555,724,617,555,289,916,155,252,019,675,618,248,712,342,757,578,016,058,
820,307,913,291,744,997,721,564,222,305,068,829,774,099,890,526,967,670,080,
117,195,679,441,359,926,604,853,988,460,361,488,776,641,829,704,394,449,452,
971,395,444,318,665,300,687,668,534,059,992,030,591,568,824,932,722,944,003,
991,551,621,731,765,561,452,308,595,427,834,923,574,687,595,335,924,517,272,
789,501,964,764,966,550,296,233,069,968,556,356,555,748,000,175,036,968,403,
923,175,612,952,913,160,662,487,645,226,159,162,218,616,102,006,889,896,450,
541,738,301,531,819,887,951,956,055,216,409,849,007,707,894,167,015,306,964,
915,446,899,394,650,648,943,325,350,459,028,891,749,838,511,381,555,743,358,
755,440,317,922,150,119,907,922,384,879,303,166,928,392,725,652,886,688,803,
716,492,230,957,998,358,361,057,771,581,070,077,264,676,513,698,798,884,569,
655,322,072,792,460,361,122,138,731,526,888,593,899,940,051,563,506,350,209,
620,665,623,054,362,093,047,699,401,797,086,035,122,288,667,865,616,843,257,
987,570,899,274,421,196,956,791,248,999,099,688,575,944,107,590,364,590,688,
091,348,933,420,479,402,332,705,236,455,829,896,699,297,088,461,656,089,221,
196,175,417,379,992,597,238,806,252,445,724,688,983,041,067,368,673,464,726,
827,779,322,085,854,123,943,718,613,463,431,320,837,892,833,541,078,296,735,
194,951,239,961,544,979,900,912,597,499,813,404,283,495,341,833,667,538,481,
887,007,244,790,856,703,100,010,801,453,422,059,211,148,285,530,777,485,344,
096,970,775,565,471,854,981,265,414,049,210,529,184,024,098,323,905,855,866,
711,542,138,068,598,352,402,617,610,329,661,205,868,333,045,858,622,170,588,
244,445,798,855,621,323,310,665,296,868,116,929,175,612,968,855,565,030,335,
117,927,116,057,796,923,601,394,236,263,435,041,917,429,205,154,630,045,785,
442,162,521,250,865,601,125,588,132,775,787,977,192,934,569,649,584,931,608,
004,126,643,876,797,750,541,401,641,575,785,877,670,423,162,133,487,654,574,
366,758,964,171,924,899,019,451,533,289,925,315,712,215,022,419,323,245,026,
700,743,140,804,282,086,859,942,454,995,541,274,678,106,320,555,329,385,994,
415,788,989,374,656,819,890,738,305,992,245,377,370,089,953,756,604,851,736,
666,102,301,072,530,192,314,900,445,167,207,855,313,183,997,575,700,667,869,
668,709,195,421,803,067,275,010,005,220,171,625,566,387,841,827,602,369,519,
371,359,742,613,293,198,740,856,384,628,699,878,541,851,831,059,830,454,123,
692,431,791,888,093,152,782,161,469,183,270,744,788,060,594,195,546,890,261,
697,284,569,477,459,643,525,297,449,319,870,980,163,390,429,509,101,539,227,
657,984,350,466,241,205,922,198,438,358,979,622,053,957,732,385,235,815,171,
540,154,042,331,509,894,495,410,258,573,574,748,282,868,571,175,688,091,685,
190,209,087,506,645,872,715,780,522,618,569,127,764,383,952,058,144,990,014,
549,546,654,698,657,242,270,973,245,988,366,380,689,852,544,714,881,157,141,
079,216,202,101,086,247,254,340,315,435,861,096,489,327,283,787,680,502,721,
989,243,546,633,590,193,605,929,986,705,360,036,332,658,553,127,774,187,623,
092,943,682,885,275,039,825,828,130,303,456,916,095,873,381,572,153,089,357,
258,128,033,386,049,819,137,390,180,235,994,130,133,510,816,765,077,860,676,
370,472,779,904,238,403,800,401,065,070,556,165,204,019,110,817,408,690,634,
942,626,578,276,245,944,214,611,451,780,213,418,960,504,034,776,755,363,650,
795,817,296,266,543,486,265,906,642,699,634,897,048,337,027,452,946,443,051,
634,545,329,559,962,586,656,003,348,910,724,743,162,959,396,102,532,369,749,
981,770,939,074,816,740,956,378,673,141,150,456,224,410,186,712,093,764,936,
610,408,016,255,786,708,008,547,443,254,684,353,715,968,342,755,431,828,432,
909,370,963,044,835,278,529,983,026,683,355,205,704,158,329,011,857,654,601,
706,463,789,529,463,975,427,405,977,105,607,168,487,473,890,331,216,935,269,
098,189,659,110,575,916,415,635,510,318,074,755,700,992,012,935,332,889,050,
913,648,552,622,481,745,892,394,040,193,701,958,142,393,722,910,348,121,653,
493,209,603,488,159,690,793,229,903,327,912,481,077,523,432,489,088,411,487,
452,813,437,443,874,639,693,430,159,797,546,736,605,227,495,615,757,485,277,
606,520,301,392,335,510,633,006,199,579,059,280,170,125,212,077,068,743,885,
490,114,286,639,801,043,013,484,768,074,297,084,581,913,855,248,925,892,506,
865,812,201,146,640,645,097,264,580,018,118,218,740,878,950,823,064,845,361,
376,320,319,879,424,959,740,212,914,473,672,451,508,930,312,659,969,207,983,
264,435,645,870,820,291,316,928,134,427,398,817,258,999,793,168,420,707,964,
245,902,246,186,374,971,023,001,085,815,247,564,400,869,258,112,251,633,954,
855,585,043,513,069,280,450,897,154,567,462,669,291,637,563,813,980,056,562,
958,798,141,221,972,363,008,360,629,503,410,666,593,353,403,659,255,023,391,
893,121,377,270,502,428,137,812,401,844,585,824,958,360,071,300,500,910,715,
206,826,987,343,517,095,269,694,679,521,563,525,623,529,391,236,454,933,828,
615,418,023,013,159,694,528,005,243,537,463,805,267,525,576,290,863,504,203,
392,770,397,313,421,226,186,132,550,904,514,614,921,610,539,322,905,553,734,
948,882,273,986,848,558,516,732,307,456,723,909,172,569,314,827,237,946,968,
260,743,260,301,629,827,509,376,239,793,368,301,294,042,926,670,986,758,071,
442,808,062,925,963,293,953,561,491,792,621,143,656,924,021,156,798,145,244,
447,632,263,496,332,214,760,572,132,003,446,192,637,519,274,612,052,795,450,
244,724,118,536,960,135,964,237,569,457,743,963,531,589,244,893,099,820,041,
465,694,439,289,741,991,919,900,314,792,519,602,889,655,448,449,405,033,588,
971,794,517,021,971,870,117,559,056,110,625,166,608,821,604,231,061,576,850,
535,227,217,848,869,198,129,234,495,841,614,872,129,289,537,957,487,987,308,
854,768,886,642,189,144,448,753,822,870,826,699,485,606,492,458,329,022,884,
167,450,289,777,964,236,374,453,326,191,629,830,520,479,286,658,317,025,428,
826,136,191,589,203,510,508,960,458,305,402,190,556,042,560,637,258,567,305,
483,725,885,423,579,809,447,566,160,071,223,733,544,329,484,998,578,815,127,
676,733,164,783,272,333,589,480,374,644,655,484,275,318,641,385,794,823,584,
738,060,806,534,181,496,822,129,292,675,154,724,753,976,783,415,735,311,158,
560,466,965,871,191,805,442,112,610,489,492,836,622,463,383,300,651,266,662,
337,364,072,110,352,120,940,781,356,981,898,065,893,351,407,139,263,304,051,
849,540,864,078,216,061,751,688,846,751,691,748,783,968,120,938,257,088,494,
598,830,546,123,482,714,465,393,092,847,161,720,666,840,197,503,536,807,914,
968,538,654,042,967,710,674,461,881,135,016,737,383,048,998,391,469,068,598,
591,399,264,125,939,433,719,270,244,225,511,309,863,131,319,865,413,499,471,
694,732,367,083,785,784,300,043,540,257,055,492,334,390,255,121,631,332,959,
520,201,947,016,848,118,762,780,355,810,517,887,965,515,035,222,775,383,152,
794,151,040,422,862,393,342,230,935,171,430,613,528,750,028,060,906,613,629,
263,673,301,903,321,070,122,314,523,703,408,383,015,189,050,109,156,301,118,
734,185,088,675,421,799,386,938,203,015,440,758,570,754,684,527,679,292,839,
977,553,159,834,452,327,764,504,931,519,281,619,216,096,662,366,192,577,754,
512,155,749,098,860,664,192,348,169,485,456,797,019,550,556,844,373,524,493,
477,981,636,813,354,898,115,997,639,762,617,104,549,123,277,911,776,234,575,
787,354,402,970,406,635,381,862,200,289,138,496,881,996,043,779,618,532,345,
145,762,501,704,530,875,532,773,689,400,350,840,538,355,079,557,637,685,348,
474,918,376,146,776,348,786,908,667,347,425,053,334,424,075,434,862,788,809,
350,084,354,250,633,161,249,871,742,695,192,178,961,235,450,657,762,884,145,
668,578,897,966,364,763,513,472,119,820,949,481,829,849,311,751,019,832,020,
833,860,301,050,965,032,143,616,791,589,755,090,801,170,387,767,898,216,020,
031,918,608,702,771,775,221,997,137,350,138,697,119,459,609,039,647,949,133,
299,694,656,013,770,238,846,436,921,099,539,424,824,174,666,581,275,824,647,
710,626,787,944,264,359,329,871,607,269,261,596,826,212,808,572,960,176,324,
073,415,069,274,816,649,868,919,099,463,084,230,273,017,612,975,256,381,888,
749,261,625,819,701,601,934,536,641,235,746,683,743,758,907,128,315,371,853,
134,384,395,664,161,382,666,822,839,772,008,737,705,771,407,244,689,250,091,
938,975,087,267,609,095,212,823,763,014,621,972,161,826,392,298,977,314,154,
850,271,190,876,376,581,028,987,257,789,534,882,584,216,272,923,484,598,618,
443,425,670,635,109,051,779,789,733,668,092,664,140,438,642,377,422,223,739,
931,763,737,257,674,188,067,368,534,579,744,390,130,122,267,543,089,319,121,
082,833,354,230,614,698,701,786,991,153,284,794,326,901,533,044,032,394,287,
761,092,577,219,434,896,038,434,727,382,941,302,278,105,936,505,950,497,974,
791,594,656,656,623,418,494,250,437,832,405,626,296,965,871,978,567,234,569,
208,866,783,585,287,409,398,918,980,644,812,216,876,802,807,056,019,326,265,
889,450,281,347,385,120,725,737,546,171,917,650,499,668,544,257,039,431,889,
880,856,912,832,206,471,513,522,906,741,475,440,500,251,295,842,571,709,680,
738,499,008,297,350,424,862,165,383,047,791,013,819,805,347,066,489,746,030,
456,902,775,317,964,992,621,359,422,369,506,039,077,980,662,890,236,620,323,
319,336,032,286,441,884,549,824,391,602,778,645,762,062,355,293,805,867,784,
308,241,055,427,162,450,186,624,394,212,281,543,329,859,155,828,609,586,243,
565,467,299,998,291,637,086,945,693,090,796,083,232,936,701,361,116,135,225,
097,838,068,700,420,367,684,323,437,084,699,403,611,151,507,057,647,765,518,
998,086,910,611,638,946,376,581,858,513,178,596,089,912,808,902,350,744,171,
556,309,299,620,193,370,139,678,899,648,281,705,548,741,803,721,069,301,131,
862,183,074,131,225,818,637,257,932,201,252,302,064,237,689,693,583,893,831,
244,937,756,428,408,851,680,584,624,755,584,470,807,331,526,878,706,807,654,
287,740,564,863,852,752,582,676,232,021,443,061,434,499,084,779,536,277,478,
854,323,332,123,803,564,786,358,082,117,540,662,466,567,136,586,258,381,548,
164,178,471,569,694,008,049,386,325,034,493,376,971,802,047,196,910,654,456,
880,930,063,477,146,483,127,195,808,756,532,553,642,472,014,725,571,986,225,
754,150,065,240,300,361,940,063,191,454,029,642,286,232,487,557,131,088,497,
732,818,195,651,939,163,306,655,120,711,949,594,587,454,637,158,668,574,763,
530,361,682,506,548,519,148,766,374,742,223,588,225,576,803,387,027,313,344,
386,767,867,242,854,479,507,599,268,630,491,819,425,599,219,874,388,433,341,
254,228,389,061,008,677,477,956,271,592,690,328,643,577,258,251,810,115,385,
775,055,993,997,731,798,284,725,352,205,263,777,406,674,863,602,413,891,060,
619,294,160,736,666,126,045,362,432,990,026,689,321,724,122,314,160,415,397,
472,552,019,064,273,754,959,270,265,116,530,374,865,760,869,538,586,801,706,
379,912,741,302,984,601,480,008,699,331,025,300,093,326,945,262,916,560,527,
183,303,536,220,008,954,773,683,910,526,104,440,414,545,778,208,226,008,364,
215,041,491,030,086,741,145,593,930,799,480,544,354,196,959,801,092,727,142,
103,810,790,479,669,031,310,053,636,064,113,040,438,217,706,591,332,163,160,
003,820,146,131,913,455,548,290,984,021,275,553,971,391,289,314,520,935,643,
412,367,581,660,353,037,237,481,669,377,613,756,754,462,723,842,002,485,716,
078,725,866,228,942,999,393,407,900,405,033,129,858,037,966,405,100,103,213,
474,837,792,645,108,603,626,846,479,849,778,137,217,619,198,921,521,150,904,
049,057,045,944,939,388,619,090,780,789,224,056,909,396,322,199,717,632,883,
834,445,510,097,560,642,484,316,131,200,360,452,144,393,919,267,935,079,720,
604,136,207,828,273,250,435,132,435,961,535,022,916,214,343,254,906,533,487,
590,868,432,458,391,976,076,546,209,558,030,306,804,251,997,814,072,033,388,
915,274,757,413,155,637,855,259,207,595,175,355,330,101,022,170,428,645,099,
718,673,942,732,965,617,492,903,274,111,611,260,676,147,617,509,354,520,362,
599,617,902,426,477,476,569,191,283,458,542,613,921,036,238,526,682,323,427,
680,680,402,332,509,460,154,243,232,662,054,055,202,249,667,938,500,185,570,
585,998,937,975,271,726,625,414,510,846,487,936,551,594,146,452,701,238,974,
710,390,380,842,470,995,609,274,779,828,037,163,665,009,715,092,413,976,202,
969,613,399,143,394,761,740,896,007,613,036,698,870,692,194,846,164,657,836,
143,011,768,047,071,489,679,074,968,844,112,323,125,214,110,004,370,584,911,
342,307,363,614,520,230,450,910,763,198,663,982,502,415,889,429,193,807,262,
639,393,892,840,012,708,776,963,636,548,216,569,160,167,063,105,523,704,330,
070,476,488,664,987,989,449,223,028,462,184,804,556,880,073,440,129,677,495,
872,612,089,957,231,162,615,006,494,486,652,771,629,077,545,016,828,884,191,
230,185,749,323,962,229,942,765,641,136,826,492,088,509,492,970,147,391,637,
869,592,221,515,565,742,911,521,526,053,959,297,396,091,263,990,452,526,343,
571,218,696,322,150,014,428,733,694,765,622,362,955,772,712,544,247,221,058,
123,344,481,857,952,776,326,173,466,514,631,313,810,819,500,284,631,275,358,
287,839,075,837,221,031,122,282,303,794,846,599,831,631,741,479,714,310,725,
595,793,915,832,909,737,212,061,780,639,719,127,252,995,462,409,553,318,775,
745,616,189,021,496,858,009,805,011,542,387,412,386,893,603,935,755,749,940,
038,914,983,739,787,494,139,483,837,424,261,726,153,025,521,402,180,231,723,
232,543,928,670,641,760,736,103,188,635,834,067,911,219,972,730,985,271,172,
912,572,507,893,243,455,819,915,831,349,860,653,734,724,572,225,202,167,293,
163,636,847,168,232,692,666,342,930,308,299,096,093,271,273,087,252,015,465,
565,640,517,275,459,221,426,467,198,812,756,955,840,614,942,270,519,011,974,
204,788,096,264,545,249,445,478,283,491,578,190,090,276,697,185,199,542,018,
155,491,172,009,626,011,039,087,287,235,593,232,012,109,879,228,296,288,194,
434,486,746,431,184,935,521,887,850,218,205,357,727,183,318,836,575,981,882,
111,062,144,952,585,642,611,234,807,497,564,511,856,380,868,166,834,729,781,
391,526,943,135,041,202,267,325,137,993,069,702,876,202,106,331,035,897,863,
732,646,681,713,346,211,957,970,238,890,031,721,970,371,884,452,615,364,235,
736,259,326,876,232,167,907,065,370,664,823,605,500,997,272,923,630,849,892,
382,148,159,519,219,590,535,481,322,074,914,525,567,253,631,925,140,609,903,
627,936,688,822,089,286,688,111,166,378,962,805,330,924,798,262,128,196,020,
272,640,167,392,621,964,999,324,029,421,582,619,641,634,210,022,482,211,234,
261,750,644,627,084,869,977,919,046,525,562,867,523,971,761,029,554,245,593,
629,017,811,436,306,114,762,979,731,600,925,881,430,564,750,388,271,885,229,
691,728,036,138,617,858,993,501,706,692,614,464,703,566,206,842,459,108,827,
769,263,869,248,164,231,855,766,393,159,283,222,827,632,645,751,301,677,402,
711,824,925,992,022,223,263,534,817,956,078,948,592,910,576,553,087,357,661,
531,439,989,386,228,075,203,007,449,872,479,129,191,070,725,126,104,180,484,
901,046,164,258,927,338,829,694,977,752,651,201,881,831,859,072,038,545,356,
192,409,741,355,684,819,758,151,724,690,329,440,897,246,952,866,668,710,522,
402,998,556,830,840,733,556,597,167,862,572,806,260,388,868,920,185,104,755,
206,250,089,266,325,042,127,871,994,110,354,835,944,551,751,752,517,446,271,
929,424,774,746,500,269,779,927,427,856,639,703,161,035,321,344,276,734,320,
224,255,027,170,235,403,536,651,751,492,792,605,569,121,613,801,608,148,252,
879,331,507,739,938,839,119,859,716,784,582,275,807,805,718,844,836,093,733,
948,966,229,507,305,996,141,366,141,528,632,937,220,610,554,191,823,483,689,
865,579,807,766,434,699,151,033,510,878,301,247,336,165,758,562,893,533,860,
391,161,665,307,534,443,954,024,482,807,266,734,032,973,412,239,198,706,384,
338,371,640,679,301,122,160,800,482,533,203,663,833,626,863,055,491,590,228,
252,553,779,166,655,352,479,471,826,500,731,428,474,632,460,379,795,535,370,
694,858,653,273,234,267,593,589,412,321,966,213,405,202,085,658,085,843,923,
787,632,137,620,095,527,186,543,221,702,657,150,029,888,221,540,613,141,735,
537,144,737,679,624,577,968,890,435,471,246,440,372,560,633,384,393,937,469,
639,364,883,129,511,276,054,514,291,755,600,913,467,233,017,704,825,462,478,
462,447,393,541,777,048,306,120,414,053,603,506,289,772,259,486,442,930,501,
691,676,292,524,171,213,484,755,828,369,210,550,033,075,412,553,586,705,739,
717,992,784,160,994,997,127,119,521,129,921,678,139,408,119,897,520,416,513,
720,119,058,767,655,965,195,670,279,778,927,037,450,386,092,129,112,352,505,
840,801,089,885,595,131,613,114,178,953,697,644,998,651,674,741,434,875,222,
806,712,335,753,822,880,674,424,839,449,191,619,911,223,512,162,628,468,155,
990,023,858,405,842,022,362,513,295,373,319,044,187,872,466,437,806,217,569,
896,163,535,790,884,690,035,606,486,787,145,009,046,490,325,774,941,746,844,
612,830,281,100,267,413,970,736,638,962,007,706,944,013,581,678,307,139,723,
268,806,227,070,270,398,080,842,896,347,511,241,776,884,207,311,440,540,700,
315,609,780,355,527,584,773,213,612,686,366,405,253,378,980,406,774,872,285,
195,204,726,695,348,268,213,060,083,215,747,075,097,804,287,062,373,853,729,
502,760,025,341,817,836,751,975,669,059,045,335,464,315,892,845,872,511,390,
263,140,085,023,057,290,118,450,262,074,431,793,010,565,235,504,162,839,687,
549,830,853,441,186,422,107,654,246,737,133,526,580,292,562,416,380,457,747,
584,806,790,500,988,661,827,515,013,841,727,726,053,499,339,388,655,164,552,
318,050,810,195,277,636,026,771,929,048,545,335,465,983,803,571,358,799,158,
773,676,352,521,560,821,014,015,338,468,554,165,001,074,413,838,040,272,360,
085,204,507,975,815,439,688,603,789,888,193,386,580,768,623,317,981,044,451,
193,557,634,398,159,515,057,826,946,766,796,125,699,849,513,329,306,576,046,
181,380,490,882,438,534,467,908,421,360,074,868,163,462,008,756,120,519,392,
803,723,253,995,105,762,504,881,625,005,384,111,205,367,569,005,718,262,788,
648,415,569,457,180,788,145,208,279,402,164,208,115,582,781,680,312,649,877,
342,351,442,194,209,828,568,114,527,191,427,430,904,561,093,042,094,786,866,
501,725,299,655,244,791,453,357,555,753,678,777,658,320,181,912,601,352,125,
725,544,439,362,670,689,853,782,973,081,820,421,932,757,917,118,322,544,357,
131,497,982,769,973,985,767,540,689,996,365,986,677,039,950,885,406,715,758,
858,739,115,339,889,991,873,446,802,141,036,184,631,987,294,289,951,417,899,
223,329,300,780,415,716,823,719,273,098,671,026,413,677,709,888,185,966,266,
882,558,268,478,651,759,961,160,985,183,432,861,576,141,704,112,240,936,286,
596,904,284,511,342,673,554,413,332,373,823,291,398,622,529,317,671,225,644,
021,616,923,397,275,113,259,088,807,433,625,083,161,698,929,806,658,842,944,
642,842,137,603,721,645,063,746,044,835,241,481,390,147,891,960,455,105,360,
854,736,276,518,412,990,982,558,009,453,474,849,348,856,759,128,360,925,564,
272,186,444,350,057,154,997,497,057,042,519,279,234,171,646,264,823,283,409,
802,666,803,022,816,053,902,859,264,795,216,067,960,027,618,143,449,084,244,
301,671,705,380,610,548,891,470,001,508,673,923,757,955,350,408,424,738,623,
476,581,304,829,045,422,406,023,293,555,161,122,579,611,604,293,703,707,999,
942,084,833,029,843,296,755,456,463,067,484,854,698,544,710,691,772,965,062,
864,884,320,426,325,871,661,305,735,997,542,414,537,019,758,723,429,899,942,
782,068,318,518,209,815,748,732,772,493,938,483,698,515,673,013,324,094,218,
939,765,399,989,562,193,533,805,207,748,534,230,740,404,122,939,917,125,965,
301,200,303,377,890,611,100,633,588,107,245,874,071,097,838,280,776,832,730,
246,328,201,087,862,483,393,025,668,247,618,224,889,022,732,001,760,182,376,
073,199,153,675,878,090,448,950,721,479,445,287,625,825,346,779,728,905,566,
853,170,154,823,795,739,740,715,715,276,281,972,907,940,900,716,361,065,423,
957,742,078,270,719,986,303,560,189,344,434,993,479,315,018,480,686,604,743,
277,618,609,623,844,002,059,678,850,684,383,320,600,591,519,547,877,097,596,
569,247,945,790,311,085,887,994,290,028,889,344,952,540,996,015,159,350,491,
581,473,011,221,336,376,893,133,024,018,283,599,935,911,138,275,639,043,308,
738,954,456,484,782,897,770,752,240,486,140,717,661,277,231,042,260,756,791,
447,364,907,012,845,424,259,122,975,797,506,948,365,016,004,797,382,270,230,
743,176,874,753,374,389,814,209,059,252,397,850,901,342,281,104,684,638,615,
735,518,939,746,125,381,533,496,959,923,482,126,314,317,480,382,527,344,193,
043,604,950,813,954,299,428,889,205,065,829,531,513,323,176,863,116,280,990,
526,656,252,570,374,139,558,341,809,482,141,013,503,706,227,761,164,972,632,
354,349,144,881,480,204,744,456,178,019,067,268,982,336,913,797,096,810,035,
155,501,282,538,316,638,300,338,251,781,547,931,175,695,815,818,836,500,035,
625,640,537,992,045,362,450,851,249,997,035,631,154,912,094,092,946,234,899,
891,526,494,357,793,921,269,613,400,478,754,733,349,674,478,518,761,677,741,
115,734,437,397,452,478,476,856,430,960,658,017,188,079,021,646,215,414,560,
343,604,462,767,222,147,787,015,671,991,434,367,853,585,260,206,113,820,453,
084,089,729,206,870,880,737,505,540,082,923,614,329,356,499,746,633,383,902,
433,867,359,254,219,836,149,847,023,545,501,364,614,316,890,849,674,525,437,
846,214,532,923,575,378,529,499,140,809,091,828,229,884,280,203,626,718,630,
347,535,373,125,782,229,334,751,685,266,714,219,320,866,846,379,008,327,246,
885,145,748,731,133,838,868,137,358,937,857,100,730,034,323,708,466,210,827,
411,893,547,796,867,545,772,038,334,724,190,493,807,737,699,873,264,058,691,
258,083,763,848,810,850,681,172,480,395,567,720,704,570,768,635,196,453,711,
059,086,996,896,534,589,114,554,867,603,404,995,739,532,282,199,585,769,831,
669,093,393,191,308,195,944,161,003,965,497,744,760,200,601,833,059,466,461,
976,232,861,899,241,655,806,045,233,961,294,524,380,985,082,898,488,178,333,
995,982,583,014,213,177,003,048,694,182,084,311,140,441,405,877,757,916,772,
562,416,162,074,531,444,858,020,155,418,589,575,436,844,027,891,681,739,624,
435,971,871,545,072,275,722,671,403,438,157,715,413,036,385,761,214,637,189,
199,097,941,145,646,594,792,687,077,608,160,537,720,723,449,308,890,026,333,
442,967,211,421,887,626,814,824,748,023,670,248,227,191,392,713,359,080,606,
174,347,724,284,044,229,954,911,344,713,696,713,934,588,917,623,051,521,580,
190,148,325,448,331,709,708,082,153,885,107,166,274,314,641,096,571,247,139,
388,800,019,084,240,481,560,441,445,889,954,433,703,730,319,761,585,798,594,
134,037,286,280,011,438,080,598,394,997,822,023,799,140,218,048,343,128,499,
541,329,452,514,894,536,159,100,599,276,589,636,104,664,003,644,260,073,841,
134,289,789,176,677,058,890,327,053,358,657,459,135,369,987,809,985,945,791,
075,328,468,996,295,748,924,718,005,106,330,532,759,610,641,089,492,296,490,
468,549,494,174,647,378,486,223,005,496,884,766,496,631,114,544,967,506,313,
701,603,473,639,698,682,532,526,169,352,786,623,319,123,852,821,054,417,019,
942,218,081,212,593,902,280,157,415,717,930,576,578,040,814,731,964,736,817,
979,504,095,375,317,134,963,935,107,862,941,987,378,799,223,190,088,375,380,
018,279,406,796,295,549,495,350,649,851,651,812,075,317,248,468,052,065,974,
718,124,825,621,092,286,870,167,481,829,710,527,282,271,853,875,958,270,820,
462,752,821,497,964,407,324,767,354,498,767,417,786,868,792,656,793,150,170,
738,786,464,673,716,868,627,030,830,023,765,661,883,623,580,064,258,283,737,
488,452,538,046,780,943,848,926,559,400,406,161,475,615,096,496,754,229,607,
278,125,371,308,081,976,963,364,439,032,775,897,981,058,477,799,177,442,409,
614,526,521,075,872,530,742,889,999,562,925,047,419,624,341,831,201,246,498,
845,551,125,131,780,190,224,414,057,798,112,077,669,724,820,022,753,757,405,
267,698,394,849,301,454,702,159,136,289,616,925,865,946,670,286,726,937,054,
462,547,430,929,665,382,445,421,164,795,822,450,585,048,409,536,753,220,438,
201,947,897,421,202,707,886,945,938,492,888,988,963,365,183,878,138,264,318,
823,155,572,896,924,747,874,251,362,086,917,507,131,637,022,687,800,176,656,
731,073,336,777,349,649,042,543,850,427,158,022,407,713,246,995,525,404,000,
365,940,227,654,048,002,016,066,264,478,456,062,817,253,750,355,633,126,838,
043,819,996,350,609,341,934,806,306,500,340,029,639,849,081,429,442,341,182,
424,574,245,223,724,104,983,560,637,079,726,197,992,348,332,427,794,342,365,
581,183,692,636,190,526,822,497,725,385,166,981,406,901,138,439,939,685,713,
160,744,739,758,734,228,294,288,043,827,393,937,443,291,996,417,267,764,736,
917,651,677,495,049,309,986,034,197,459,182,022,486,256,849,087,673,605,471,
380,285,786,803,373,319,565,272,719,778,356,588,686,728,427,863,360,092,945,
017,358,675,136,089,255,290,974,165,833,707,163,301,977,941,746,237,460,292,
516,778,267,111,926,070,385,878,214,699,409,168,440,231,008,116,212,404,895,
256,106,708,023,867,351,358,601,415,370,183,082,795,417,665,577,455,616,643,
172,849,989,753,283,897,747,390,701,125,452,183,552,514,557,263,509,123,618,
942,593,416,007,126,084,407,742,920,649,929,679,682,415,077,665,343,684,586,
149,190,822,043,544,279,168,307,689,828,733,314,681,994,815,178,626,817,196,
758,783,319,929,511,606,848,722,126,763,295,916,425,161,424,067,998,202,242,
308,268,366,517,825,160,384,430,511,394,645,402,334,481,261,189,730,779,098,
987,419,726,582,185,610,890,598,276,212,966,464,815,989,436,400,259,170,994,
500,973,090,664,273,373,132,315,663,164,342,830,205,037,497,994,158,156,660,
734,005,243,313,788,022,975,563,044,813,485,658,783,809,174,279,279,409,744,
448,727,156,512,036,561,264,150,031,900,953,810,905,764,287,103,063,048,999,
423,915,866,180,383,372,315,257,550,340,514,440,781,230,443,134,284,006,920,
713,896,341,639,815,914,216,754,337,399,565,822,370,393,196,565,628,611,106,
181,331,897,485,571,031,656,243,127,350,322,017,900,867,237,622,697,933,327,
127,767,620,262,454,855,268,164,939,261,189,006,132,008,541,535,525,850,805,
100,404,864,683,714,766,233,706,508,526,066,925,138,682,605,604,029,118,269,
660,364,404,426,768,633,901,456,181,703,238,630,686,019,030,298,432,172,150,
083,890,511,334,658,879,570,145,683,777,656,196,658,422,604,196,705,385,609,
805,335,728,612,551,921,398,103,235,461,069,917,876,421,662,493,716,543,032,
823,240,469,348,845,430,254,060,741,062,696,827,816,031,215,932,839,911,177,
416,756,790,003,672,805,781,029,415,688,689,136,202,064,893,825,428,912,659,
425,966,622,482,594,606,780,569,829,264,002,423,114,372,738,646,428,539,249,
627,929,036,561,244,811,719,468,713,093,456,691,004,250,920,191,056,423,142,
980,803,823,132,859,368,679,560,615,640,312,499,195,562,317,329,133,975,690,
386,974,283,989,257,562,270,068,794,149,439,798,722,222,774,745,587,999,318,
969,778,813,758,964,946,600,386,351,529,730,886,146,176,798,666,081,471,856,
031,750,246,367,278,509,172,541,576,976,558,719,545,654,723,426,492,968,509,
681,803,447,596,543,361,840,056,270,056,788,621,755,560,210,230,992,998,117,
668,409,061,155,417,325,363,903,513,401,878,453,099,389,677,496,049,917,808,
752,787,595,715,343,022,796,289,147,914,011,902,030,843,063,980,738,319,245,
910,330,392,910,268,544,947,482,236,541,823,789,021,128,852,810,332,135,145,
127,365,278,945,502,830,231,787,283,652,393,683,078,527,702,144,793,191,777,
342,104,683,232,848,453,890,619,276,705,620,485,032,652,225,822,157,135,048,
648,458,815,485,068,180,927,759,848,143,000,607,405,521,807,181,061,579,346,
607,833,628,049,916,648,723,058,127,108,555,249,817,345,824,006,099,047,156,
128,311,041,504,652,544,973,742,116,929,852,430,036,676,427,380,453,005,146,
395,597,690,715,848,065,145,086,225,602,909,322,347,275,813,326,240,327,673,
432,460,931,097,646,559,172,202,253,669,558,535,735,160,172,676,020,225,462,
611,746,666,773,264,750,907,151,694,066,712,393,850,047,043,134,954,679,084,
919,812,749,425,812,468,320,542,282,749,017,830,849,308,320,624,822,486,748,
038,737,979,555,525,304,202,258,726,730,181,468,721,946,792,853,292,223,017,
074,301,542,524,647,499,520,479,670,586,623,312,157,401,391,926,982,708,063,
330,405,236,240,071,726,360,529,181,520,367,899,227,086,146,281,013,646,814,
640,553,380,823,234,352,346,285,419,510,960,373,033,060,523,935,216,832,431,
705,141,839,686,077,487,915,165,374,327,177,381,469,144,335,976,941,237,118,
705,965,888,227,539,497,951,328,071,632,551,552,321,059,038,941,836,627,388,
629,677,276,369,435,344,170,096,961,142,394,553,814,248,212,577,381,422,418,
584,165,753,832,069,601,375,380,721,885,603,847,589,735,044,700,503,844,562,
914,168,406,798,123,303,949,543,254,273,469,188,772,984,524,618,407,259,254,
801,042,618,980,450,638,165,519,933,339,990,984,418,518,738,508,145,458,870,
742,885,906,068,978,295,075,170,006,413,831,556,546,478,852,773,601,255,300,
526,712,410,576,984,055,970,789,143,892,802,949,130,699,355,153,041,795,006,
069,102,894,523,249,665,230,930,476,553,942,612,857,696,546,135,029,607,269,
614,223,958,190,601,722,521,806,931,767,944,944,179,937,618,701,576,494,366,
451,770,246,937,000,789,429,153,878,041,786,170,783,619,206,100,811,024,408,
177,015,067,351,237,202,834,414,420,547,904,227,889,433,596,129,016,563,983,
549,797,685,386,961,773,434,842,804,453,008,672,435,367,176,574,287,141,935,
104,103,893,726,687,400,173,378,622,099,395,074,327,632,072,081,295,262,656,
316,846,959,045,904,967,167,354,371,703,955,750,679,996,656,748,617,817,182,
531,433,807,675,943,824,702,712,917,301,949,487,759,448,063,043,083,425,785,
942,216,188,056,435,115,680,365,318,967,117,547,999,767,085,535,453,447,149,
329,833,236,829,511,121,898,965,419,670,385,020,811,984,130,262,346,554,817,
124,933,311,887,634,955,710,360,888,813,594,479,644,596,859,693,433,345,745,
850,438,649,365,718,805,914,516,282,806,402,962,145,530,678,802,687,311,649,
687,564,311,300,067,087,039,370,156,317,942,242,636,532,054,274,502,160,184,
530,935,788,836,155,841,435,503,379,146,999,618,398,746,969,413,882,165,581,
043,087,307,301,323,353,445,036,083,104,155,972,641,172,105,883,214,918,078,
083,511,056,314,355,125,132,834,755,446,700,875,797,897,449,798,548,123,065,
098,935,521,386,115,792,954,967,846,108,176,280,984,009,819,256,538,013,663,
652,554,446,723,976,269,066,469,101,296,407,978,646,161,664,839,704,515,131,
781,411,674,533,411,621,064,444,093,843,472,287,522,169,842,449,971,639,544,
460,837,299,395,162,713,913,654,621,412,772,347,555,050,116,834,684,017,740,
454,932,037,516,910,601,210,861,037,431,233,673,867,492,260,115,261,150,652,
798,936,991,790,329,532,419,742,611,785,801,105,458,156,563,589,900,681,964,
814,664,270,028,689,602,791,519,718,845,411,890,602,002,628,486,605,460,401,
246,370,706,903,825,693,406,674,562,421,567,817,530,600,539,605,175,842,709,
616,213,244,361,459,693,138,084,722,604,676,125,905,389,151,866,389,520,074,
238,395,248,165,410,484,394,088,541,578,790,632,239,173,879,431,306,407,421,
739,759,645,926,020,190,200,243,671,479,601,877,309,696,190,308,610,006,959,
894,422,529,476,791,893,060,783,128,730,957,246,710,478,054,836,418,461,738,
657,540,255,090,331,676,017,492,593,767,751,814,543,260,482,751,584,128,427,
771,342,504,181,485,375,814,491,548,026,142,450,764,129,779,944,255,499,537,
291,008,256,412,979,580,816,882,504,309,069,630,834,677,965,486,494,517,574,
504,308,239,696,992,914,960,868,078,171,209,578,441,625,864,324,466,512,495,
205,969,603,747,605,433,146,698,829,439,777,325,443,957,846,434,208,907,876,
607,671,703,820,593,959,460,630,879,417,583,195,936,646,996,769,337,288,258,
755,060,390,008,188,319,119,458,216,835,017,722,418,161,999,844,745,237,132,
841,048,399,825,488,768,571,618,272,270,933,065,790,625,198,253,003,751,865,
029,684,613,739,549,412,748,242,027,803,221,134,113,742,504,010,441,305,047,
869,062,370,414,355,038,811,566,495,158,190,319,953,272,162,933,207,965,688,
808,069,624,359,415,910,676,817,637,676,438,427,616,687,393,887,739,918,220,
508,626,652,023,198,847,267,171,847,419,671,289,969,060,996,823,258,164,484,
144,729,632,763,419,356,214,557,854,793,780,147,585,456,158,127,924,758,261,
393,255,350,638,293,138,380,952,162,015,600,568,262,528,580,279,114,038,122,
683,469,279,079,989,537,137,841,062,984,205,679,283,846,069,917,101,176,786,
253,345,154,433,301,435,670,675,339,976,852,426,791,766,072,735,136,044,564,
135,795,026,472,967,399,636,204,904,441,754,424,435,369,494,712,007,916,019,
989,596,596,011,072,304,306,836,318,048,833,507,673,212,479,953,561,322,823,
993,345,801,818,877,481,724,552,202,593,167,809,201,668,554,629,463,140,340,
716,540,550,402,884,322,705,893,374,017,861,787,426,883,170,284,604,423,591,
746,346,122,119,324,378,815,276,148,015,438,743,112,217,453,752,221,441,101,
275,848,151,391,435,612,151,212,667,754,547,289,294,654,239,578,504,307,824,
531,082,403,757,688,717,082,891,244,514,506,719,058,405,795,455,375,011,763,
975,943,439,932,398,574,939,453,165,592,815,487,721,268,184,500,834,978,271,
367,556,605,280,945,338,445,363,060,489,311,701,382,362,399,434,932,261,829,
701,141,553,339,866,184,407,483,974,645,286,352,473,167,881,466,660,576,658,
282,472,889,127,124,893,781,132,898,221,083,310,678,467,723,232,332,936,739,
456,762,407,475,304,105,309,727,125,716,627,747,372,182,455,430,298,167,204,
036,838,761,782,265,696,932,266,722,045,598,638,818,922,780,286,921,288,138,
806,437,261,183,494,742,959,983,226,085,239,224,536,609,154,080,902,510,580,
321,407,381,223,431,117,628,559,115,886,043,219,091,760,284,882,062,725,597,
822,150,273,006,983,187,645,600,089,641,463,332,440,531,150,300,850,259,634,
406,233,890,972,238,813,721,420,885,890,282,502,328,532,541,643,291,744,451,
024,848,767,876,563,612,740,863,473,298,817,111,402,118,745,637,709,968,231,
548,156,699,551,049,069,195,606,098,142,004,458,718,918,203,477,856,672,110,
014,073,701,266,021,801,272,529,794,601,396,731,532,353,801,462,478,271,992,
583,338,755,347,433,687,509,421,487,245,597,699,267,389,376,330,425,692,891,
763,258,125,727,156,621,735,350,365,007,384,528,079,906,176,834,863,941,776,
486,617,349,649,112,786,371,041,129,729,966,935,584,961,269,683,682,061,948,
003,183,373,040,584,513,363,762,489,010,823,278,928,778,352,267,707,393,250,
980,369,366,858,068,811,174,353,737,235,466,809,249,632,834,841,893,385,329,
273,764,973,559,121,987,801,254,336,624,077,103,105,423,988,809,941,590,398,
113,709,417,283,362,643,058,881,214,906,459,251,547,825,526,660,761,449,324,
344,614,066,995,304,846,450,858,734,063,346,725,460,793,885,056,978,248,978,
576,467,250,209,790,530,039,005,406,182,482,868,627,485,381,406,362,233,180,
696,287,108,926,095,328,341,092,477,285,800,737,319,321,618,873,134,576,884,
928,352,142,053,546,732,353,062,122,846,086,214,931,966,363,424,869,017,177,
305,952,307,902,738,168,840,733,560,537,322,772,534,767,185,373,019,092,698,
186,808,767,553,373,396,515,270,291,179,187,303,513,786,938,288,315,526,621,
234,070,778,821,599,625,337,375,108,994,974,193,271,719,090,079,071,202,471,
928,451,756,617,777,395,742,370,162,873,126,157,538,185,069,284,623,116,519,
325,856,020,492,662,806,556,861,561,248,201,639,497,851,166,117,303,964,828,
846,970,146,773,103,661,212,139,730,826,502,771,034,319,296,371,141,200,165,
930,841,558,573,018,326,222,647,755,528,565,529,851,823,795,462,889,033,253,
996,665,027,838,074,876,014,743,530,607,283,768,502,052,569,461,972,712,786,
420,456,209,597,039,062,795,067,352,502,056,599,010,923,686,735,163,730,428,
704,777,067,510,220,560,051,244,163,773,785,544,452,771,955,262,396,638,166,
409,550,709,948,696,071,348,974,769,607,123,898,932,987,663,373,245,573,673,
797,966,118,424,481,487,463,793,225,589,394,364,708,717,691,076,301,430,786,
601,157,509,696,954,216,012,871,713,020,272,233,127,722,501,303,836,698,474,
477,632,811,590,991,608,458,865,187,661,626,135,849,556,592,030,765,540,746,
424,348,585,158,546,427,807,408,496,206,655,439,472,254,175,737,758,229,003,
158,467,071,284,851,981,337,287,492,414,584,302,153,259,178,256,520,011,499,
711,060,437,248,018,448,634,249,183,212,781,496,617,269,453,364,435,479,825,
450,577,171,582,940,675,653,118,808,816,322,416,026,875,549,740,170,190,106,
997,175,890,803,973,731,194,233,328,735,717,052,811,851,995,887,483,599,016,
525,673,470,312,036,462,146,351,997,145,764,376,210,773,672,535,099,910,766,
763,339,372,827,509,549,961,736,715,700,295,759,745,406,766,833,555,262,061,
483,366,224,302,558,015,809,839,619,739,638,587,267,285,950,906,102,307,699,
462,753,758,691,247,151,561,849,472,301,407,514,446,565,701,894,870,955,552,
271,714,170,907,812,300,274,597,921,805,344,441,602,051,271,049,715,411,207,
030,795,856,990,779,806,750,111,912,825,489,659,220,275,747,349,247,673,894,
277,283,793,001,338,265,170,834,968,108,913,260,165,496,762,564,310,274,074,
300,783,928,522,293,247,468,690,402,275,181,693,210,441,160,837,364,726,362,
178,716,275,026,625,853,393,025,328,218,180,986,794,028,738,452,828,347,025,
648,382,302,495,587,158,082,808,283,453,371,409,705,171,761,638,961,654,628,
197,165,049,522,243,141,186,869,185,317,323,996,460,671,865,777,056,323,311,
536,457,190,162,227,834,671,166,403,173,868,869,127,920,508,258,634,788,794,
590,706,416,894,861,174,782,917,558,588,536,935,105,288,057,767,029,408,224,
063,204,360,754,588,431,398,416,579,677,894,366,216,098,685,170,142,812,107,
855,937,333,521,377,401,305,756,680,248,176,700,730,849,778,564,961,700,736,
616,537,194,582,236,941,169,104,648,846,681,190,458,624,057,989,151,985,017,
287,386,429,960,808,221,258,758,795,543,565,185,386,111,958,452,412,789,294,
132,379,403,716,893,175,794,249,930,444,365,573,535,068,644,398,223,017,447,
070,426,203,371,205,334,208,020,455,118,982,939,715,100,394,568,066,155,314,
670,711,256,540,210,887,766,253,470,758,465,672,898,376,011,625,269,166,989,
425,843,395,454,136,882,050,520,330,697,085,266,396,768,140,498,575,674,595,
270,945,593,572,978,898,484,244,501,003,406,054,787,667,455,002,333,213,366,
337,465,992,981,606,525,975,215,199,246,659,104,562,803,258,407,181,597,650,
726,585,206,180,238,387,531,403,325,162,628,225,119,945,609,001,289,808,400,
215,541,198,597,601,672,437,403,279,128,410,348,954,158,078,999,444,633,889,
855,424,626,136,524,927,885,594,604,506,066,625,648,784,613,466,602,313,701,
924,948,608,842,712,340,455,719,125,293,020,282,733,249,128,439,877,422,464,
798,536,202,805,463,645,755,084,597,329,214,942,008,076,134,715,260,925,213,
137,758,630,611,977,242,515,498,114,086,653,975,176,418,977,956,569,925,621,
123,018,902,460,128,448,725,939,017,626,886,918,365,486,369,322,226,182,530,
175,878,246,616,030,590,108,833,225,878,906,403,967,269,441,390,650,334,883,
621,773,526,656,979,527,517,744,825,651,559,847,801,678,113,993,167,674,112,
519,754,339,074,550,887,115,730,604,584,927,890,810,328,694,059,443,335,263,
184,898,204,709,297,504,333,640,199,239,092,141,697,558,190,515,217,703,824,
968,001,971,458,408,363,149,328,630,961,586,808,633,244,756,414,198,413,243,
771,570,437,577,939,605,003,838,449,263,066,393,165,515,105,638,375,772,434,
300,034,276,926,568,847,200,269,674,302,302,634,493,452,550,364,443,132,119,
545,823,063,448,449,736,281,720,727,349,607,066,296,290,758,115,113,248,404,
325,269,907,543,445,909,046,258,394,729,141,668,335,698,283,515,326,587,460,
252,841,906,744,329,008,666,759,493,126,500,332,837,575,255,779,140,812,713,
324,705,856,422,648,601,858,260,869,725,449,885,184,383,903,421,011,482,133,
014,085,275,005,345,222,328,952,221,558,301,764,522,340,940,834,405,568,039,
779,929,279,625,393,587,622,966,411,129,002,405,564,033,619,722,296,408,132,
840,433,710,129,480,877,778,360,913,813,519,961,114,640,203,261,376,815,983,
397,546,072,223,820,502,090,781,620,165,158,597,238,615,543,868,229,494,064,
839,110,532,167,639,297,721,818,901,368,984,215,197,490,898,019,086,092,896,
348,250,849,440,959,648,238,538,934,141,489,317,477,916,537,766,665,520,185,
907,925,306,340,662,514,803,592,331,758,927,932,956,382,776,674,866,680,832,
196,295,859,976,939,521,996,145,381,201,272,090,128,229,736,929,590,456,360,
622,546,224,556,609,669,766,856,934,286,151,573,618,496,694,687,168,253,498,
499,338,871,824,646,711,816,491,584,783,757,281,965,983,981,689,500,138,339,
837,760,059,017,297,588,330,273,592,146,138,504,906,702,839,874,304,403,548,
864,425,061,151,767,448,143,090,289,264,463,336,932,928,542,687,004,706,570,
811,230,217,443,285,493,310,561,248,434,101,918,131,087,128,351,216,150,989,
860,927,370,032,388,863,825,009,231,385,752,230,226,548,734,629,008,920,958,
274,211,484,224,850,346,958,828,623,164,118,115,114,766,908,194,390,286,524,
423,722,299,456,513,571,706,766,612,775,065,208,562,309,291,335,867,397,559,
467,416,990,298,554,242,807,531,618,756,519,595,041,886,836,224,887,770,087,
914,054,626,483,508,746,817,597,562,987,028,301,408,286,972,101,115,897,955,
695,755,944,901,721,599,861,598,641,885,669,761,901,188,074,057,383,555,190,
852,151,961,351,683,190,600,011,638,581,381,270,960,851,234,254,377,477,113,
430,158,983,845,479,974,872,922,393,241,796,151,666,728,698,850,942,465,678,
144,733,985,655,315,172,299,386,728,386,326,211,508,147,152,750,083,247,780,
562,736,251,254,753,465,440,200,037,591,426,372,667,289,102,582,671,870,300,
598,596,320,040,955,902,981,216,916,010,618,301,730,853,747,371,884,639,195,
643,596,166,101,485,804,007,157,061,423,226,326,945,218,581,293,508,864,122,
470,039,080,151,882,615,002,044,257,143,996,887,921,645,912,300,215,237,409,
978,249,681,479,871,536,773,083,399,724,304,866,625,864,671,737,187,564,775,
106,955,996,847,319,233,386,232,407,577,574,100,805,496,763,835,838,033,214,
929,853,734,450,754,514,441,958,652,209,784,735,378,681,037,942,808,749,301,
561,764,987,685,158,016,155,451,191,833,294,463,574,617,297,147,300,720,090,
157,759,724,137,378,532,325,612,591,872,406,637,553,712,257,167,793,997,920,
937,300,220,664,596,398,309,105,806,731,335,133,994,184,557,005,311,789,385,
541,394,011,374,867,061,549,804,852,437,045,618,146,329,646,169,672,655,834,
875,687,911,283,972,938,458,442,115,292,200,439,811,833,533,712,863,435,320,
546,261,179,066,771,646,987,950,336,261,495,266,611,182,195,076,616,208,319,
737,671,429,458,119,818,687,147,215,830,807,735,380,302,397,858,201,967,324,
699,542,928,465,546,079,383,547,665,900,974,999,803,474,825,972,707,085,116,
226,037,827,601,828,446,464,976,310,747,792,845,670,776,749,035,137,817,317,
137,623,252,529,128,934,519,865,750,469,013,211,859,411,004,508,085,591,028,
895,854,610,158,188,684,149,413,199,250,506,795,810,707,642,810,529,515,025,
414,899,843,071,677,535,283,519,647,153,754,217,056,886,861,989,575,985,616,
874,862,303,660,370,758,888,990,693,506,714,324,020,743,180,834,937,532,343,
464,120,897,144,309,809,467,155,211,707,028,912,492,111,624,105,548,020,770,
723,754,532,144,389,941,872,469,896,767,260,943,020,061,265,517,384,175,475,
747,756,153,690,858,940,824,113,662,265,630,319,838,071,501,758,442,828,380,
042,886,662,567,263,316,497,702,197,511,339,984,381,517,780,305,287,409,184,
124,128,949,328,737,777,472,626,100,530,273,244,787,983,950,443,449,560,563,
582,554,170,393,377,821,157,157,311,921,750,912,321,526,815,944,555,495,705,
196,173,922,626,018,762,174,084,306,438,370,456,750,997,355,201,828,166,350,
355,768,568,445,673,634,368,300,029,209,022,302,771,091,468,638,230,231,605,
430,457,165,697,956,522,686,886,191,503,649,540,383,933,321,707,913,438,430,
510,105,178,721,396,810,993,859,219,421,085,596,671,877,309,156,439,542,639,
986,743,238,412,439,484,254,727,172,557,574,623,652,215,628,276,563,191,026,
682,197,287,401,624,215,549,231,426,078,461,289,619,773,163,373,863,747,750,
634,049,995,116,787,439,796,542,942,145,646,438,800,454,086,492,507,128,309,
380,654,906,248,259,507,869,911,759,453,552,234,848,267,072,926,970,478,633,
792,775,130,583,341,295,080,874,184,193,173,137,041,877,502,701,738,157,337,
196,872,039,663,793,645,641,056,930,693,051,250,879,320,646,696,228,513,456,
297,528,406,944,294,853,839,398,229,491,933,884,835,478,676,871,495,048,896,
581,644,909,920,213,666,865,560,365,995,509,907,488,711,791,712,535,156,697,
039,747,172,415,354,572,660,520,264,283,978,070,247,560,997,585,421,444,857,
455,702,882,648,771,006,190,024,706,791,613,839,344,144,672,961,773,443,522,
257,110,395,772,317,571,829,976,759,657,368,180,477,980,524,836,569,926,173,
200,802,909,298,132,125,766,869,035,844,898,455,153,191,047,977,873,754,823,
285,203,861,184,938,149,158,232,730,612,635,160,193,299,861,051,814,827,492,
371,813,497,575,465,416,011,433,761,704,968,622,387,237,993,948,097,127,582,
721,861,512,516,234,524,835,617,209,618,260,377,948,175,644,623,510,591,366,
164,982,136,115,465,405,768,208,643,098,029,993,022,082,134,548,939,802,351,
148,179,337,393,317,640,331,589,426,808,076,969,865,081,666,235,736,499,214,
812,061,506,419,213,742,025,500,311,005,318,818,166,975,904,970,027,038,935,
034,911,839,424,316,192,202,951,900,288,555,934,661,544,983,126,077,628,823,
118,782,017,698,720,227,836,471,243,271,076,106,176,343,613,131,051,689,675,
157,310,461,183,676,017,255,878,575,862,052,073,210,062,505,566,382,094,034,
213,336,543,725,618,856,738,379,703,206,637,718,800,493,110,378,120,711,031,
503,552,045,516,278,413,139,778,504,140,492,392,324,640,120,024,211,355,591,
214,228,051,612,920,512,075,087,196,591,511,358,728,706,254,289,036,367,628,
520,808,246,382,296,313,269,512,488,111,115,634,004,059,378,420,540,793,692,
893,748,862,860,374,439,629,049,580,496,215,225,707,948,508,235,107,193,390,
458,431,992,480,405,679,643,843,542,182,449,855,198,567,410,547,859,075,338,
415,354,636,528,538,560,930,540,145,734,745,744,340,620,318,477,261,968,236,
659,031,345,677,870,058,962,581,111,603,515,556,973,184,341,508,865,594,514,
808,936,252,206,455,345,444,335,819,422,751,697,354,367,778,118,867,807,717,
968,977,958,379,971,429,270,279,820,796,873,313,076,730,336,852,609,527,942,
870,818,132,333,052,144,761,323,989,851,783,906,591,603,194,688,523,896,850,
092,041,868,103,396,636,233,912,520,985,436,027,247,040,409,486,936,662,095,
897,917,729,340,841,168,328,174,185,627,940,424,477,683,962,536,251,515,498,
982,521,196,237,280,844,232,360,067,727,158,156,969,044,396,373,831,393,414,
148,004,886,270,375,573,848,068,847,214,791,808,015,727,330,843,658,841,684,
296,582,607,286,041,256,671,497,339,847,395,196,567,332,062,279,310,212,848,
478,918,372,751,189,837,357,039,596,936,346,116,388,733,684,858,794,123,346,
658,525,982,397,258,247,541,495,966,244,377,226,976,224,985,220,685,320,525,
835,815,336,654,943,160,219,101,163,297,339,193,435,567,921,476,335,196,785,
371,890,179,977,183,772,208,060,539,899,481,534,826,949,674,227,254,220,454,
032,143,751,587,251,263,195,233,653,310,418,851,777,199,634,871,799,325,433,
709,011,867,006,123,534,450,847,390,111,668,255,095,339,337,827,396,387,644,
186,878,369,530,681,682,645,476,439,424,127,233,695,481,541,645,436,412,090,
013,163,224,601,835,644,989,647,895,667,506,661,620,962,420,492,339,887,283,
807,908,249,355,085,805,420,312,365,160,788,823,621,643,856,907,944,452,107,
518,085,143,867,598,754,758,748,078,978,591,994,757,406,670,207,197,311,426,
077,756,842,002,613,354,717,209,470,016,594,448,540,825,372,507,738,077,538,
168,247,266,731,032,185,032,167,383,293,019,532,234,289,362,002,025,520,765,
973,867,710,667,272,069,910,368,647,590,951,871,333,717,425,233,471,650,716,
237,525,293,723,529,701,683,327,043,985,728,953,586,375,301,811,673,802,166,
436,284,107,991,441,383,602,003,040,160,932,593,326,519,959,047,732,051,905,
631,841,779,241,447,074,254,031,905,777,379,656,405,440,325,943,810,143,117,
692,662,026,319,419,656,835,518,251,129,726,775,746,978,155,332,808,166,562,
045,718,841,480,949,415,818,382,843,653,731,416,114,974,869,475,799,920,281,
764,544,469,078,088,716,710,550,362,076,774,224,932,294,465,812,690,884,117,
378,926,276,767,407,552,732,387,475,905,045,251,676,640,230,809,547,804,972,
410,063,489,535,494,969,080,476,725,643,684,062,570,149,732,299,826,636,900,
363,771,448,363,273,521,283,353,524,005,879,673,441,110,796,313,471,525,816,
842,051,382,885,480,912,164,994,303,489,516,394,649,515,181,862,839,170,995,
523,131,043,396,941,459,253,770,507,644,112,001,907,500,171,950,438,747,558,
279,304,781,985,857,303,755,432,657,445,619,133,676,071,948,505,448,423,447,
455,825,005,076,157,262,186,162,013,595,250,028,037,187,961,899,687,050,270,
540,406,778,068,722,027,195,472,010,332,291,613,433,990,526,555,823,003,758,
493,221,395,241,066,420,017,421,519,777,072,075,550,139,051,730,064,325,617,
844,171,442,512,267,132,139,384,867,356,324,999,299,771,966,060,430,746,195,
797,022,232,924,737,604,789,201,020,164,575,986,462,778,127,719,656,504,196,
931,298,072,636,281,879,113,865,252,078,913,109,932,630,235,938,921,042,809,
259,469,861,457,471,516,245,465,721,817,975,710,233,169,812,853,891,889,655,
471,646,997,928,719,033,968,532,485,944,448,548,695,402,325,702,758,465,748,
756,304,371,810,902,294,885,027,020,087,961,783,429,145,944,817,231,988,896,
302,211,198,314,887,499,194,031,955,028,277,869,827,263,308,374,855,241,525,
979,274,125,675,703,564,949,940,170,398,631,453,195,712,358,528,194,344,049,
350,727,744,829,943,610,326,800,373,620,473,432,417,705,808,079,952,540,947,
525,585,260,348,947,527,447,644,423,336,429,639,435,124,482,123,594,029,185,
986,452,283,427,603,362,296,468,036,944,719,942,773,986,897,823,492,415,011,
384,769,042,867,601,906,958,130,720,312,284,521,473,932,101,621,593,641,043,
961,879,137,300,443,878,894,614,058,875,470,090,634,784,242,972,312,166,828,
355,091,491,194,860,012,336,077,981,984,178,388,115,438,929,298,799,649,062,
702,955,366,661,292,374,557,137,024,676,956,468,122,147,992,043,351,645,936,
400,828,258,490,013,777,470,396,544,538,770,690,960,839,110,914,469,913,932,
056,222,517,662,768,295,128,827,231,350,607,404,647,045,118,999,530,059,585,
019,365,291,304,428,267,711,653,853,923,117,809,446,725,402,011,790,247,084,
363,956,052,886,981,212,584,975,836,472,906,148,538,700,840,597,795,478,226,
987,984,389,350,930,532,580,607,511,683,758,826,343,118,498,984,832,106,847,
509,772,802,181,109,996,562,473,023,015,373,501,372,754,251,082,746,865,456,
204,236,994,246,283,147,103,257,850,021,935,777,865,731,177,714,634,693,987,
141,980,431,813,686,357,162,862,577,330,239,014,528,876,021,144,760,826,019,
033,382,591,221,098,082,233,945,787,903,354,564,839,422,012,735,555,650,377,
854,337,083,047,656,452,480,490,153,972,747,860,377,617,938,276,142,877,817,
120,122,622,488,602,354,274,613,434,340,985,303,353,666,648,235,169,081,958,
690,969,502,092,549,624,449,037,085,974,147,014,045,436,542,784,196,743,049,
315,924,009,875,534,287,692,404,741,698,883,281,984,636,049,811,815,807,179,
811,131,301,404,522,378,749,285,482,670,429,291,495,797,562,977,537,758,682,
968,798,249,092,136,687,580,456,832,131,149,000,451,679,392,214,537,294,178,
922,816,140,355,631,870,582,935,136,306,561,432,813,157,365,546,601,238,839,
394,101,666,461,676,755,791,522,501,784,053,407,016,665,002,024,734,743,831,
398,614,998,462,484,890,030,404,713,384,886,014,668,940,667,242,705,087,282,
478,891,735,318,175,821,065,310,870,006,379,009,953,880,093,325,478,258,566,
402,700,710,244,728,974,963,876,093,975,549,583,072,705,330,051,749,168,720,
804,346,256,544,461,251,734,762,650,519,823,009,586,480,874,286,113,224,462,
561,168,231,244,642,324,155,259,325,988,882,291,609,282,717,788,265,997,454,
839,750,265,068,871,637,714,166,489,488,465,348,772,745,278,806,933,933,682,
064,988,093,368,827,686,244,423,214,422,407,280,957,259,875,033,897,348,254,
647,651,185,124,079,842,954,209,546,025,929,361,306,377,223,580,730,282,425,
289,682,584,751,517,480,824,568,390,994,171,846,547,467,886,790,549,941,087,
521,233,756,099,391,962,043,934,470,014,893,871,727,557,960,809,970,063,167,
889,949,661,928,363,070,283,427,167,910,283,346,628,075,288,927,957,253,215,
942,879,936,251,074,205,268,371,876,722,057,060,768,116,917,449,497,274,873,
413,303,290,397,362,495,278,593,897,073,235,398,300,982,078,741,333,661,263,
437,600,347,634,916,222,685,895,031,865,460,330,922,007,067,107,445,781,253,
923,611,810,675,894,139,461,721,973,510,169,210,563,652,919,486,320,936,235,
755,168,979,756,471,632,346,114,636,663,225,732,667,615,706,429,165,310,543,
883,442,941,008,618,214,568,439,523,322,342,586,813,103,247,503,227,340,849,
976,896,023,045,336,646,652,951,995,234,024,985,208,532,841,495,347,173,970,
065,208,704,458,304,159,695,668,301,093,440,943,200,591,031,598,116,996,405,
692,918,353,954,478,165,322,112,964,750,042,218,177,957,943,000,315,932,395,
342,035,022,914,920,322,768,510,307,866,342,500,668,343,724,647,770,883,568,
361,422,882,740,157,134,601,140,133,699,473,999,085,146,008,742,202,443,074,
520,928,637,380,306,632,919,188,799,533,748,893,090,984,567,832,746,555,406,
003,474,685,842,649,248,020,642,611,164,505,402,319,466,975,408,896,161,728,
166,379,599,179,456,267,222,731,292,758,485,316,775,166,131,670,019,520,858,
082,108,493,211,921,818,212,695,832,240,162,396,405,455,697,632,095,359,729,
766,898,214,451,783,467,680,010,600,540,295,554,687,891,872,311,962,740,521,
957,351,719,525,499,254,245,480,046,675,749,132,182,994,873,186,796,581,176,
876,317,592,109,760,769,831,080,640,877,033,782,134,073,587,829,782,148,383,
581,811,550,473,120,109,721,749,371,453,951,942,375,594,870,749,970,773,643,
521,797,583,502,134,183,607,998,266,769,230,769,773,116,307,682,614,751,457,
908,633,522,068,432,287,841,043,083,784,584,795,355,726,491,562,063,567,464,
734,893,271,184,151,198,439,419,729,077,709,436,995,950,673,216,318,253,841,
018,229,220,214,040,225,972,123,701,350,202,823,997,915,869,622,164,270,611,
134,677,724,784,619,467,572,572,958,393,260,540,479,853,796,318,376,627,497,
938,100,119,135,271,522,079,702,439,992,447,503,010,743,090,174,110,318,902,
719,236,051,713,743,517,471,872,787,718,428,960,567,103,253,006,458,807,691,
405,921,915,241,374,795,646,723,306,723,719,742,184,418,141,631,296,666,603,
474,082,917,849,377,531,203,984,969,721,610,125,447,687,781,811,909,272,196,
325,119,415,219,942,414,942,272,877,831,329,440,615,458,614,025,565,373,061,
156,355,240,646,845,647,728,196,750,003,824,874,056,337,571,646,651,056,916,
405,175,023,797,565,445,502,329,493,037,459,040,671,366,578,023,166,311,337,
191,764,536,455,303,617,903,150,043,253,009,991,971,687,917,418,850,511,320,
010,747,252,126,482,274,767,513,386,078,672,282,522,033,824,651,880,045,984,
258,976,439,822,767,526,215,308,911,461,135,240,722,423,703,053,818,618,312,
135,707,187,814,693,908,421,313,055,392,292,978,187,989,744,081,978,697,432,
009,305,409,970,511,985,808,214,109,184,657,777,074,017,074,114,180,943,157,
706,086,494,616,034,086,010,664,605,742,169,712,218,270,821,995,766,242,842,
855,415,501,583,348,715,113,200,107,017,556,998,074,452,349,536,668,863,779,
913,216,940,535,805,293,449,039,373,000,018,787,282,351,477,004,798,920,168,
626,878,410,116,314,290,960,783,094,055,023,469,319,744,429,579,761,372,455,
771,317,850,141,781,794,954,485,936,089,916,740,057,827,697,760,811,136,292,
227,634,978,706,021,464,359,820,709,523,309,022,852,553,821,027,637,383,891,
928,598,516,404,616,250,816,951,387,734,963,821,795,265,591,514,980,647,446,
191,230,444,181,707,989,571,180,271,049,164,643,423,165,399,740,966,048,461,
476,109,732,564,269,969,215,018,369,796,070,365,947,916,722,780,572,107,214,
680,527,540,932,423,567,015,430,136,453,925,100,437,454,126,415,261,800,851,
905,556,281,489,106,305,550,454,363,634,119,219,217,486,093,421,909,085,635,
668,262,211,198,495,036,209,329,024,019,015,986,710,452,527,507,195,051,492,
631,105,450,248,888,663,438,552,463,377,613,187,861,493,221,232,235,373,204,
925,006,864,282,834,085,521,638,467,440,617,494,151,492,293,108,278,207,923,
797,662,222,092,455,927,176,648,541,073,744,208,909,527,673,697,875,872,448,
775,284,836,039,251,310,975,738,378,654,633,703,363,259,346,748,007,126,759,
058,276,967,406,613,695,133,895,132,336,198,880,984,606,908,877,986,660,539,
373,096,947,943,494,932,954,364,393,921,613,777,948,434,634,543,915,204,912,
466,258,823,763,914,939,679,621,323,120,734,582,244,798,360,161,783,525,580,
072,086,265,734,015,672,256,878,749,498,904,976,364,620,798,254,414,375,891,
661,068,539,298,365,402,288,121,885,024,062,677,624,619,202,227,927,705,613,
644,377,533,174,750,513,002,716,892,196,601,302,419,886,296,470,181,745,210,
702,690,486,943,797,477,335,119,893,590,023,235,271,107,250,935,719,353,979,
789,603,259,820,887,511,826,287,694,683,633,375,667,466,212,075,288,424,973,
346,784,441,387,377,084,193,210,881,993,387,430,050,083,840,403,045,925,209,
390,881,657,878,896,017,849,293,945,001,384,185,677,677,573,188,941,079,068,
930,003,534,699,751,672,520,895,059,795,771,293,174,574,417,635,293,213,139,
401,371,472,588,112,878,311,275,927,424,047,837,536,716,779,875,626,389,903,
635,450,928,858,391,895,954,724,430,127,892,370,624,949,609,410,136,403,025,
620,331,840,005,701,337,042,318,411,941,382,963,205,511,305,343,712,115,057,
022,017,540,614,883,257,601,136,736,438,804,915,122,202,226,975,112,453,436,
298,245,370,875,594,817,563,456,618,120,622,502,016,249,489,568,175,453,818,
136,848,409,766,876,705,556,227,453,219,040,225,439,586,089,818,431,102,068,
223,282,219,533,981,191,554,216,637,828,695,645,194,892,842,749,196,171,635,
349,748,375,495,354,800,089,518,623,942,529,723,232,145,961,658,648,254,228,
578,934,393,346,321,388,740,215,068,029,297,992,790,232,572,979,848,374,888,
192,024,660,397,145,415,144,731,213,285,766,027,440,314,690,317,737,048,384,
388,136,059,149,019,933,910,999,943,534,034,082,720,898,287,043,417,165,242,
081,795,963,758,114,548,370,064,279,241,288,410,874,471,755,808,210,804,839,
916,732,182,850,321,937,958,390,735,154,052,130,525,712,158,014,421,703,905,
716,544,581,056,607,115,485,173,476,449,991,822,213,476,219,304,324,201,767,
472,835,091,549,954,302,193,958,354,035,154,248,039,141,400,925,646,893,591,
817,468,943,445,708,440,211,824,464,486,407,871,807,465,412,667,398,533,159,
287,991,051,288,629,054,064,023,174,729,332,151,753,739,700,616,626,720,061,
107,483,963,668,230,227,809,669,341,491,119,362,360,740,034,146,436,652,391,
952,495,458,242,239,321,431,140,926,527,193,223,140,108,420,784,703,188,255,
726,489,600,560,090,616,398,197,786,071,238,974,480,494,804,808,321,968,400,
064,858,308,672,195,133,905,783,791,624,951,049,941,629,739,869,392,496,775,
114,917,237,311,007,995,990,857,716,755,154,116,923,515,935,237,499,694,147,
207,968,823,931,797,928,248,824,423,997,268,406,722,644,594,095,309,815,267,
359,926,579,961,437,777,993,863,197,985,153,692,528,781,821,201,310,019,545,
685,340,153,971,980,676,157,588,049,943,741,027,887,160,820,879,358,102,511,
911,122,673,535,354,891,791,424,146,604,710,517,129,209,386,610,769,554,796,
294,104,963,754,828,444,249,415,530,528,497,222,064,735,303,938,373,040,767,
390,624,043,243,120,658,054,746,539,881,905,780,572,889,613,764,475,808,558,
223,759,665,347,018,265,448,107,084,704,974,720,924,294,634,450,175,240,905,
239,816,217,700,802,986,675,576,004,112,706,994,494,393,029,764,237,708,693,
936,596,279,247,846,835,507,708,817,219,187,806,697,172,233,177,624,534,316,
429,858,394,950,388,506,201,795,791,498,190,464,552,369,786,866,783,350,964,
086,612,817,136,889,311,247,654,353,982,535,755,839,376,273,174,564,092,408,
189,447,298,114,899,229,257,487,512,613,176,607,372,292,101,294,408,468,290,
807,462,988,236,621,680,547,895,933,828,794,471,201,341,147,574,768,346,269,
267,564,732,974,101,087,525,967,613,375,252,035,638,461,107,877,567,168,254,
893,408,965,475,243,779,860,304,341,090,872,813,588,622,229,715,273,197,906,
025,820,310,637,159,600,495,267,387,349,998,396,405,070,302,795,664,205,925,
650,642,867,483,785,388,197,285,639,615,171,953,567,481,661,000,918,918,161,
915,986,407,659,599,490,162,159,063,526,369,183,973,950,573,126,201,192,434,
035,496,319,950,136,578,398,503,681,882,211,296,886,056,837,138,176,263,459,
653,428,691,822,441,990,922,316,319,294,507,923,914,739,600,320,920,873,731,
267,214,927,037,680,067,516,477,147,076,197,734,939,847,623,066,531,690,355,
259,689,955,694,759,126,816,141,559,555,242,242,047,218,293,096,227,875,798,
617,645,942,590,047,824,930,998,812,148,276,057,515,098,412,407,162,191,230,
511,006,300,243,806,377,434,907,377,908,648,192,414,578,939,744,462,355,586,
150,424,113,069,446,351,842,664,656,731,573,683,024,700,773,724,843,595,979,
969,442,133,735,808,280,075,384,366,899,814,336,181,023,379,811,508,841,985,
206,993,170,428,626,157,471,521,234,029,360,803,977,588,804,450,977,945,744,
127,563,870,141,029,069,062,356,136,114,618,562,366,253,848,493,206,971,254,
526,640,717,196,492,228,552,382,432,660,593,200,052,855,794,549,854,814,294,
691,435,244,006,710,731,038,016,986,716,774,802,509,426,292,975,432,440,657,
144,549,350,814,375,938,783,040,994,132,133,124,918,048,578,284,481,153,031,
715,526,311,140,336,264,135,129,362,067,122,645,542,633,412,017,537,387,971,
503,480,084,887,773,026,644,032,305,027,636,431,629,701,911,017,158,795,383,
950,785,181,387,378,947,474,891,502,468,016,035,471,975,120,543,234,619,113,
155,572,320,445,216,929,491,249,188,427,533,090,109,754,108,134,353,644,823,
155,053,560,325,832,332,229,974,425,014,281,382,242,046,560,025,465,419,034,
635,297,294,490,086,772,752,513,596,495,613,097,846,875,269,956,781,483,676,
377,264,827,748,052,565,288,458,522,071,765,497,140,279,945,102,551,413,102,
758,880,385,497,033,823,313,688,499,968,995,922,767,220,355,647,336,673,991,
188,259,240,745,874,360,604,720,281,076,549,089,332,823,862,167,027,315,076,
969,161,227,286,279,367,796,968,006,337,600,407,060,676,331,520,614,570,122,
019,542,074,439,165,137,390,944,684,927,168,600,539,716,924,883,707,249,964,
426,568,591,349,551,775,961,114,132,439,793,592,904,084,596,021,022,263,560,
898,554,008,730,716,051,739,287,142,899,139,008,343,983,330,151,231,937,244,
286,122,761,209,961,209,832,029,047,439,330,000,746,639,666,888,740,424,874,
092,365,330,503,986,606,389,378,179,219,768,339,224,499,874,800,092,894,125,
889,922,024,473,010,950,081,344,987,154,015,228,083,055,999,734,950,021,372,
884,628,784,174,042,742,498,911,562,971,296,774,342,713,236,160,633,058,251,
529,824,353,527,016,110,183,362,182,331,084,067,080,144,284,380,719,584,267,
395,688,373,901,386,773,094,606,411,609,515,889,831,272,904,610,654,622,767,
948,057,380,700,023,016,171,922,985,859,958,723,654,692,496,360,831,284,568,
269,250,521,142,517,091,844,784,695,759,912,659,111,797,890,867,915,869,462,
098,945,118,756,940,674,793,161,393,922,035,328,317,861,042,735,140,719,565,
650,516,779,842,459,406,820,113,535,700,781,523,203,531,340,093,358,146,714,
539,366,196,153,538,440,893,512,621,864,443,462,572,450,229,818,224,892,911,
187,287,682,020,602,459,449,321,954,025,507,091,139,576,744,625,123,674,067,
530,331,645,248,934,925,220,220,598,306,112,994,444,096,696,693,381,832,586,
436,673,222,411,887,273,701,710,141,538,262,536,423,532,532,347,230,595,237,
759,621,543,336,721,365,578,159,231,092,248,244,999,926,424,162,747,374,731,
231,832,027,848,633,199,626,900,414,430,708,399,771,413,130,160,375,609,474,
138,665,888,489,600,619,552,413,609,548,697,832,712,532,069,577,409,856,730,
078,640,875,445,835,854,777,762,023,336,486,965,199,612,770,143,175,156,461,
692,989,956,574,018,130,937,644,151,608,550,642,076,488,414,968,710,388,524,
273,007,877,074,887,498,264,648,048,261,485,269,277,557,850,432,890,122,317,
769,940,126,353,804,864,917,191,831,542,153,444,563,328,249,389,605,086,778,
915,967,317,501,993,560,252,043,265,045,422,756,766,591,580,711,798,647,056,
619,359,094,769,393,703,165,744,777,510,251,376,484,285,337,832,609,613,847,
185,858,739,116,663,066,961,655,851,011,505,729,016,806,588,880,991,235,052,
398,658,788,744,573,684,100,432,813,031,026,651,490,437,620,821,957,112,158,
292,672,417,653,701,851,014,233,523,167,572,781,028,168,655,408,007,549,058,
129,364,189,080,639,747,173,158,013,485,265,297,598,460,049,350,953,991,244,
967,735,480,343,634,906,290,482,946,074,565,084,822,954,021,232,439,053,651,
654,626,789,667,227,740,941,249,038,845,394,602,747,029,124,012,258,263,949,
376,503,664,308,470,866,637,089,970,411,908,907,136,519,833,274,882,870,098,
595,502,325,026,051,644,533,967,762,188,192,697,321,955,028,019,892,975,484,
143,417,396,524,631,633,539,056,609,232,710,491,065,042,568,270,628,817,616,
376,731,480,351,946,065,320,924,828,152,766,759,973,868,646,669,991,867,850,
156,123,430,798,533,099,253,263,131,401,921,058,357,677,056,921,678,659,775,
557,809,703,871,726,720,694,327,262,677,856,504,253,310,902,142,822,602,863,
522,103,197,148,580,413,232,629,584,507,161,944,976,337,164,065,893,428,835,
043,570,593,857,794,141,426,528,576,822,018,321,117,952,528,741,766,026,186,
077,634,507,154,931,729,593,651,034,330,627,400,211,207,376,361,120,447,069,
015,858,251,073,982,383,856,667,759,014,605,625,591,087,368,349,644,589,909,
496,501,888,873,521,494,756,106,220,432,059,622,510,744,994,073,766,958,895,
676,580,038,018,247,807,996,396,115,843,944,091,703,029,664,617,881,587,744,
464,951,340,253,845,059,083,205,311,691,144,149,473,584,243,869,275,458,078,
353,932,722,560,804,034,105,887,264,491,590,105,913,372,529,374,014,156,478,
257,631,173,871,287,516,770,812,523,399,245,605,656,880,369,445,569,964,895,
960,361,217,104,821,530,593,764,943,179,803,042,566,985,812,226,682,139,058,
715,160,476,252,956,751,492,550,561,076,454,464,554,185,413,288,849,089,419,
286,502,232,853,346,279,342,439,906,650,151,154,703,229,258,368,550,975,923,
173,579,180,424,120,261,286,067,468,481,001,223,313,447,777,417,627,283,484,
654,292,570,844,568,097,615,518,144,045,651,910,451,603,549,508,266,372,650,
767,910,823,846,311,050,121,752,104,824,255,502,077,774,246,757,484,945,644,
555,769,461,144,158,602,317,717,625,059,591,093,103,305,535,199,331,020,618,
866,382,930,088,842,477,530,917,508,278,346,156,360,996,693,069,147,912,159,
960,573,744,209,413,635,864,059,557,846,190,137,882,927,444,860,438,360,642,
437,945,092,655,857,215,011,932,413,047,414,253,758,012,435,466,501,699,594,
889,101,067,044,647,259,337,207,388,625,440,980,418,908,332,422,164,122,831,
223,624,798,066,192,328,127,413,403,252,794,803,869,180,559,721,405,551,229,
896,219,422,867,304,430,345,251,298,043,948,010,305,065,512,219,691,306,942,
524,064,626,029,878,968,019,933,885,002,940,291,339,417,069,864,737,786,266,
863,598,665,967,666,812,795,396,165,924,877,124,621,183,403,920,912,480,882,
382,296,964,788,896,600,008,296,391,258,543,968,529,771,100,497,043,565,237,
776,896,907,085,127,890,107,860,974,886,335,813,569,543,119,373,593,746,026,
104,678,228,389,255,352,031,744,944,372,148,056,237,159,151,945,709,839,401,
019,070,839,837,163,221,019,164,847,793,430,031,282,255,328,102,849,602,389,
361,814,765,830,745,890,662,201,413,952,640,582,276,234,252,548,635,038,113,
027,475,691,843,132,842,596,162,095,386,905,773,957,341,633,668,081,720,912,
759,673,903,001,549,090,129,552,917,910,578,571,892,086,667,574,643,926,026,
779,722,624,903,609,133,555,185,591,289,082,432,580,200,440,050,765,939,948,
953,395,948,066,692,564,840,387,305,163,286,019,018,326,835,613,749,952,780,
943,827,649,328,540,374,160,223,883,834,276,524,433,523,230,759,053,082,515,
128,472,196,390,783,101,083,240,992,085,945,919,962,154,393,132,491,704,211,
588,215,124,941,542,791,211,013,393,403,368,713,062,126,446,046,979,327,969,
145,247,934,204,546,401,446,604,284,199,000,387,671,789,341,942,774,793,097,
824,286,053,232,164,085,950,415,419,419,449,861,940,746,576,385,314,978,027,
910,518,632,412,587,568,813,619,928,430,667,265,284,267,511,698,012,127,807,
194,159,892,275,755,957,643,492,928,399,103,996,697,391,271,134,640,370,880,
451,390,009,325,242,306,907,979,514,675,596,633,739,113,297,289,008,153,627,
292,689,515,485,633,095,822,683,598,813,533,584,959,295,275,736,107,396,098,
743,167,401,802,134,377,975,814,871,111,610,206,450,785,408,304,030,042,134,
198,679,719,629,631,673,234,584,716,308,772,743,958,567,726,875,076,367,140,
328,391,212,299,877,648,959,671,022,637,749,390,992,491,084,173,275,840,870,
604,823,508,843,478,648,321,167,762,862,424,967,426,106,255,757,305,593,057,
597,891,234,341,611,406,778,519,372,310,368,891,115,601,898,771,819,409,887,
408,776,992,039,765,378,177,241,748,012,853,223,340,604,800,090,967,030,141,
938,908,088,663,260,011,401,669,476,978,495,292,829,828,565,199,768,626,329,
214,696,183,352,902,496,729,989,204,936,744,711,960,223,107,812,560,743,857,
810,060,480,112,770,336,755,941,045,329,641,874,490,739,849,592,530,676,109,
624,427,077,126,679,930,155,364,718,033,554,750,605,794,484,771,321,026,547,
148,449,780,889,306,906,201,477,860,997,036,318,979,137,224,406,845,929,859,
953,508,068,087,647,062,638,225,241,126,433,578,803,078,205,182,695,146,610,
357,463,444,068,365,899,494,809,046,441,970,603,218,160,993,470,590,457,800,
731,798,271,645,239,934,560,950,106,909,681,189,155,146,975,078,385,569,980,
585,104,796,259,129,454,609,246,840,213,077,851,534,229,283,914,361,638,972,
056,422,346,789,904,273,179,941,369,831,196,823,591,566,061,961,196,271,097,
569,050,018,189,174,476,508,686,711,259,372,965,863,643,967,341,244,442,307,
103,919,839,882,832,696,522,272,250,410,200,350,062,670,840,332,274,306,929,
411,365,002,999,666,900,299,808,048,913,056,465,677,574,342,446,499,167,941,
478,664,587,146,431,998,980,274,762,998,533,822,959,442,977,231,375,253,327,
718,797,564,082,306,932,877,499,005,357,939,030,782,084,868,391,880,537,479,
725,460,572,077,730,341,840,299,848,805,396,928,951,958,914,639,744,508,505,
867,710,127,924,022,875,646,818,399,446,978,606,433,171,739,207,452,731,689,
539,319,413,032,577,636,257,851,165,429,303,847,617,152,023,561,562,929,639,
521,277,265,142,845,947,005,133,814,181,354,904,838,011,733,085,091,240,195,
259,474,678,970,104,623,092,183,811,163,580,458,814,169,807,793,563,881,420,
677,351,550,435,186,540,967,443,034,025,015,554,255,801,160,732,121,778,452,
339,072,264,156,265,198,743,514,727,985,577,457,016,871,949,571,466,592,803,
056,577,417,562,499,349,848,292,137,277,871,126,599,325,817,770,255,581,126,
169,176,816,619,397,799,029,862,935,708,582,571,953,174,475,812,579,693,130,
427,292,161,304,173,950,247,301,410,623,785,256,186,152,503,804,310,807,942,
327,474,240,571,274,989,199,787,505,693,947,251,468,370,505,846,782,377,061,
035,282,993,054,874,061,579,283,132,311,414,951,055,677,684,062,343,746,427,
180,667,031,445,047,824,386,977,965,845,842,571,017,976,345,430,906,913,040,
957,201,321,202,923,415,435,496,453,125,113,515,310,151,763,788,057,001,566,
529,118,166,418,973,735,569,347,085,969,763,453,698,060,148,381,055,599,241,
978,045,557,312,191,136,635,960,303,191,684,713,667,418,719,536,344,871,383,
103,256,590,689,696,699,177,022,319,830,255,754,922,551,579,695,634,859,587,
766,581,298,887,362,046,076,728,813,264,421,575,242,643,147,682,775,177,247,
209,242,588,365,994,053,197,125,765,393,347,310,388,205,647,412,724,000,911,
174,333,816,768,630,964,699,879,018,169,937,045,026,654,127,288,100,943,704,
140,912,072,465,122,412,784,372,436,896,190,420,712,810,793,775,608,366,718,
804,123,378,190,024,948,505,220,800,052,585,506,281,886,941,983,912,520,277,
728,531,138,298,925,925,033,716,903,678,422,526,101,129,482,439,652,613,612,
932,152,845,160,575,711,681,604,860,291,304,927,227,422,540,997,144,022,515,
428,383,882,273,199,596,090,934,409,200,562,884,372,930,449,996,491,154,308,
981,656,241,134,896,259,549,696,938,654,463,290,513,320,762,220,245,647,589,
390,399,554,039,883,018,390,277,896,149,162,567,373,283,164,694,212,067,504,
461,896,226,692,870,868,533,300,230,686,751,564,552,985,481,138,023,055,363,
913,501,937,672,289,095,424,613,371,688,297,002,102,803,991,703,451,751,471,
033,119,225,650,010,990,580,659,618,418,310,631,144,009,766,614,914,058,760,
996,867,284,275,868,940,312,144,476,022,513,685,262,385,760,141,550,255,307,
977,514,613,046,438,380,216,514,629,995,534,991,838,313,677,790,923,364,630,
751,551,373,582,026,909,012,498,963,673,495,666,578,905,353,159,638,406,564,
885,214,541,247,170,154,104,672,626,873,957,644,811,173,482,597,611,549,247,
519,601,847,104,887,282,846,954,639,447,694,846,740,109,386,478,767,631,635,
434,004,664,342,970,367,136,066,333,058,371,273,531,839,805,615,188,431,627,
622,270,398,657,705,302,975,765,048,156,133,210,738,278,244,849,214,369,867,
743,248,723,037,819,216,822,634,741,690,248,467,173,815,466,192,406,680,703,
263,508,572,702,944,583,642,232,484,782,985,886,194,146,722,849,921,508,035,
841,557,318,190,182,270,186,563,986,927,058,109,657,770,290,393,653,106,491,
771,845,996,489,952,356,171,897,045,864,517,717,347,227,728,422,734,774,680,
538,806,070,194,902,802,970,383,787,469,066,196,047,925,561,131,003,234,430,
280,456,858,396,003,075,623,278,942,393,283,301,692,729,929,206,604,127,206,
576,054,011,452,241,713,965,961,221,531,554,760,960,622,801,003,115,912,479,
613,446,244,656,423,221,296,119,354,689,207,152,812,959,498,731,256,779,027,
569,250,729,887,883,657,825,215,732,082,943,561,140,666,660,520,963,702,384,
726,011,403,088,926,764,308,804,199,534,696,801,049,858,435,678,033,370,610,
150,292,959,543,020,283,846,209,673,562,171,269,890,027,811,818,733,603,990,
081,148,184,498,758,173,074,044,298,048,291,713,129,735,421,299,730,552,352,
007,565,806,523,528,156,005,874,445,982,250,369,002,098,228,228,592,380,952,
226,605,710,349,918,475,098,027,567,899,419,568,756,071,595,248,833,127,666,
471,872,294,850,260,072,591,934,207,808,597,951,802,536,361,841,957,229,120,
134,916,408,757,780,768,979,927,199,912,797,571,947,322,406,529,657,722,590,
948,765,153,526,346,128,660,721,058,876,223,782,254,526,387,352,251,658,205,
751,822,737,458,301,738,493,223,332,400,998,311,695,328,386,214,172,728,986,
821,151,849,386,718,832,095,159,544,376,910,180,362,987,007,403,940,771,487,
528,218,632,263,912,034,689,384,564,904,642,112,124,865,504,801,207,128,638,
466,488,226,992,156,913,281,179,684,369,158,627,413,209,055,533,057,596,318,
833,042,681,962,388,405,871,438,548,183,741,277,020,773,653,939,859,150,455,
339,391,160,952,311,863,420,550,690,223,192,481,743,434,048,897,890,004,232,
974,565,762,882,515,327,059,279,551,135,245,665,270,758,556,250,152,073,316,
729,394,780,736,885,958,246,877,881,340,389,924,291,894,264,472,288,060,172,
892,953,938,190,547,689,963,992,706,701,448,920,727,042,134,690,640,778,770,
623,011,119,379,976,457,228,900,332,745,378,113,614,438,712,715,357,517,544,
521,208,393,834,048,686,431,004,905,112,641,072,117,670,199,224,713,631,657,
640,745,245,964,815,779,811,214,760,518,911,809,805,756,620,445,788,323,441,
835,123,871,672,713,738,082,324,975,003,951,844,733,776,531,626,599,760,232,
337,981,104,399,192,981,448,661,343,042,712,446,058,044,492,290,464,302,683,
706,204,959,111,541,008,708,953,061,269,804,015,675,953,826,297,919,439,737,
176,074,198,673,686,082,532,524,447,891,760,632,662,961,789,650,713,437,484,
298,579,645,332,065,818,655,712,783,561,543,194,395,197,637,967,681,544,456,
416,728,173,556,560,147,550,278,285,775,129,143,140,707,761,867,574,623,010,
477,385,278,480,498,196,517,044,702,944,480,736,587,193,075,078,135,989,991,
966,561,141,247,424,298,581,635,273,249,845,171,153,681,830,608,458,442,212,
340,750,137,985,138,316,944,647,707,599,280,715,666,906,578,919,897,616,106,
209,234,492,542,697,758,352,801,224,064,763,591,334,402,851,541,094,583,435,
287,321,883,840,783,477,894,415,679,890,576,484,672,697,218,246,359,327,936,
987,002,799,821,152,823,598,499,831,671,860,091,550,659,594,014,228,185,077,
731,825,409,139,580,920,494,015,929,926,887,415,329,492,136,991,333,451,581,
292,244,460,457,307,290,545,971,783,038,497,306,216,652,699,481,229,287,885,
431,195,469,737,586,115,084,813,257,509,128,278,659,902,017,239,477,451,403,
019,110,829,523,275,461,784,085,092,615,075,262,209,284,538,102,547,563,082,
460,853,845,050,223,336,894,198,219,794,663,360,189,322,020,162,434,215,104,
589,086,170,319,268,422,641,479,332,485,553,950,484,066,879,240,119,157,759,
359,984,532,555,595,280,911,418,014,447,466,373,910,753,732,950,172,724,078,
389,094,579,096,289,356,112,684,919,559,412,524,965,799,638,795,643,571,875,
782,351,053,781,645,509,756,697,558,514,119,794,190,121,823,140,237,266,234,
580,124,722,433,370,875,375,091,010,062,832,992,294,195,451,714,100,875,203,
741,567,351,972,064,121,689,495,979,227,612,662,429,294,856,403,350,831,104,
021,720,502,936,213,095,680,527,506,193,048,204,731,654,267,700,435,483,521,
391,306,307,351,731,593,745,589,152,579,488,494,522,427,184,660,847,315,165,
305,950,935,660,216,229,614,024,083,858,362,667,182,778,469,501,940,719,905,
326,570,115,056,798,932,119,213,693,214,173,782,637,395,659,120,807,259,597,
788,453,806,901,259,405,683,258,697,897,797,510,016,696,623,893,469,303,547,
806,735,942,371,820,567,126,188,891,094,641,237,489,968,790,453,383,982,231,
630,160,284,360,046,048,513,461,987,117,062,605,203,296,461,649,581,416,629,
218,551,834,306,371,647,361,414,998,564,693,991,000,965,864,398,236,008,169,
194,417,589,206,117,576,690,165,839,562,983,697,383,369,861,817,800,368,270,
397,209,210,218,870,052,331,514,603,519,941,091,312,455,405,897,128,391,781,
609,839,857,408,131,396,836,630,123,997,324,331,805,477,977,511,270,888,185,
422,503,770,611,533,515,269,297,047,444,372,231,395,221,337,353,319,233,733,
407,195,121,836,417,317,518,129,489,542,999,964,085,168,726,526,591,048,864,
961,478,806,864,358,343,075,729,839,310,920,671,318,286,980,902,249,290,408,
651,006,960,920,600,814,142,631,657,947,787,422,439,882,699,971,928,383,598,
708,652,802,369,729,453,678,184,319,674,476,173,248,330,313,264,862,876,290,
914,763,073,379,383,677,324,798,723,119,323,060,822,945,355,989,424,015,466,
889,499,860,302,321,106,684,877,617,325,850,376,557,396,992,809,489,218,005,
743,939,728,694,112,817,053,381,642,002,299,130,910,947,022,082,825,171,361,
974,885,425,775,033,886,112,503,444,132,963,063,947,661,308,910,336,246,686,
728,347,380,805,735,570,648,134,224,721,146,110,843,456,714,338,016,896,296,
511,426,957,405,183,916,990,237,567,886,690,190,126,908,028,710,220,062,042,
761,311,101,870,408,160,760,703,313,715,365,824,205,047,661,487,970,518,843,
439,236,400,728,477,493,353,970,369,880,504,875,788,506,854,963,442,676,065,
848,814,262,682,058,137,990,634,445,855,740,012,596,715,386,468,054,021,995,
042,351,551,208,943,946,558,158,865,824,523,948,999,107,686,883,459,202,847,
416,123,263,218,743,087,003,437,241,731,541,395,466,328,712,787,168,266,985,
009,661,067,754,012,210,118,862,086,592,262,842,347,804,896,842,304,799,594,
219,026,509,621,274,220,970,704,516,773,212,264,623,799,550,663,975,833,322,
161,951,804,967,747,221,323,443,980,741,326,339,373,196,500,978,259,138,702,
197,763,390,941,452,658,370,109,976,405,609,478,880,807,763,335,540,678,035,
472,174,841,261,874,184,637,234,882,934,647,559,601,634,572,982,292,194,307,
629,181,257,942,414,844,948,664,373,271,134,428,874,637,676,265,657,940,230,
521,917,280,261,571,719,173,381,136,282,244,764,843,878,717,135,170,825,790,
501,610,635,390,768,591,235,142,096,233,540,830,426,175,533,439,264,372,972,
971,761,709,403,673,312,214,804,192,414,697,454,006,173,615,158,555,589,329,
460,125,517,093,499,287,475,308,756,273,764,914,882,840,438,573,656,191,013,
360,331,716,087,198,036,966,514,898,130,015,977,799,010,115,651,267,153,323,
543,603,656,824,222,785,252,774,663,131,287,420,409,973,234,970,405,624,040,
930,593,019,489,517,635,754,612,462,090,128,490,948,093,077,303,086,006,322,
910,043,678,822,859,159,577,216,015,275,671,338,999,685,972,734,869,178,635,
713,066,345,103,868,436,363,296,404,525,887,004,271,824,984,716,763,480,330,
595,766,761,069,226,901,427,960,085,200,552,881,016,861,952,540,561,276,604,
161,555,465,084,861,844,147,473,267,872,085,348,188,537,532,331,425,175,678,
548,688,938,095,239,558,151,626,376,315,677,694,321,522,469,727,067,310,935,
880,265,189,965,806,664,123,798,542,812,636,678,741,264,365,429,087,606,942,
185,166,507,853,963,623,987,584,150,027,601,822,715,920,502,122,852,823,441,
762,048,726,908,846,122,970,793,081,279,927,230,065,061,871,949,734,222,461,
195,198,474,912,135,247,719,123,981,727,622,740,401,353,725,922,041,936,950,
367,379,945,790,779,155,800,026,713,139,217,955,959,265,287,023,148,456,158,
644,363,970,116,455,178,238,953,975,642,723,928,600,532,874,334,321,672,516,
714,017,163,706,998,488,342,851,128,378,560,090,174,981,853,522,910,371,768,
578,473,934,932,598,279,339,198,914,996,529,098,814,483,146,535,870,193,505,
052,072,594,707,213,372,929,618,930,163,096,417,507,733,631,721,214,835,113,
875,455,905,511,347,764,496,285,525,779,616,796,760,936,547,786,271,453,450,
020,647,799,577,292,479,343,540,082,431,081,614,650,611,181,116,932,761,773,
611,214,688,758,566,930,993,354,385,161,373,806,683,310,234,457,805,635,211,
678,529,572,679,830,234,230,334,572,308,133,081,650,142,182,211,260,654,474,
466,699,403,842,242,293,810,459,382,773,375,776,491,082,535,898,125,036,309,
133,597,297,634,412,388,052,033,567,600,418,551,771,883,599,256,502,467,530,
248,879,424,255,894,595,381,349,896,757,937,961,601,323,335,852,029,378,854,
155,425,684,316,331,131,315,521,962,910,294,487,877,503,673,331,862,934,859,
134,272,883,220,709,683,160,048,744,305,269,032,186,319,996,777,020,055,448,
906,997,135,249,583,604,657,844,011,183,418,168,898,643,254,210,135,754,967,
670,302,759,000,182,525,894,664,507,224,666,537,428,681,754,994,725,685,214,
264,114,875,883,605,871,466,216,168,445,158,345,116,715,241,373,168,841,045,
409,842,342,918,396,058,142,736,229,730,302,203,071,720,919,683,538,808,577,
593,100,875,865,994,325,198,193,451,399,947,570,920,118,883,039,050,343,427,
856,031,248,780,575,301,772,198,195,346,318,304,040,289,387,560,001,661,821,
038,181,862,745,699,582,773,429,364,571,427,199,794,722,462,200,412,015,028,
297,248,283,635,084,026,774,947,874,418,060,480,960,344,957,168,029,415,055,
652,619,273,797,443,275,294,287,995,441,875,740,574,061,974,223,677,392,937,
290,169,142,236,797,868,566,735,183,547,903,574,248,570,341,130,740,692,646,
718,321,136,249,346,675,477,501,623,775,081,983,691,034,347,190,340,514,855,
775,855,718,024,123,039,072,911,459,299,035,952,192,599,905,146,625,679,730,
805,502,523,957,161,438,756,199,064,682,746,287,276,666,884,953,899,384,811,
676,750,016,101,991,332,634,286,931,648,613,190,188,890,517,863,539,713,793,
300,603,438,430,732,294,184,427,190,686,361,489,818,496,099,608,257,834,070,
688,288,153,701,086,451,668,757,306,934,365,061,554,270,555,967,118,998,081,
751,576,281,915,844,032,414,640,035,461,473,143,131,981,767,618,855,563,368,
179,997,082,363,454,473,822,984,152,402,215,159,124,285,047,528,885,461,876,
564,862,490,175,823,961,635,061,555,455,425,065,910,004,471,968,174,125,870,
060,791,829,572,760,280,405,191,587,260,515,765,476,469,864,319,714,013,122,
049,027,456,477,743,434,437,684,272,258,172,274,935,763,193,458,618,740,346,
117,983,958,396,962,697,027,084,539,050,726,967,356,886,416,612,493,289,913,
014,240,688,266,465,300,113,558,505,348,668,409,032,509,746,174,260,024,857,
238,643,525,576,819,884,806,779,991,972,975,147,381,219,835,032,559,358,946,
318,354,744,527,834,656,606,177,516,609,876,237,413,473,430,924,591,362,133,
749,238,462,756,828,900,502,093,225,589,451,148,915,794,993,207,627,181,110,
061,290,678,113,357,382,271,492,872,058,942,801,486,989,830,704,162,826,185,
177,516,512,553,360,655,863,964,626,912,140,168,168,904,789,384,228,695,927,
630,315,882,708,900,418,139,712,628,262,915,901,073,129,566,116,684,592,782,
826,272,468,276,608,082,219,113,484,496,581,787,494,204,241,252,443,594,051,
894,909,546,451,135,072,189,062,264,228,125,950,477,428,730,099,779,915,165,
365,045,574,275,321,948,732,115,585,918,452,589,636,889,162,304,469,969,798,
255,220,937,153,875,688,115,149,812,476,047,109,553,721,595,358,533,454,359,
198,197,722,604,540,441,910,162,078,831,015,030,853,128,805,543,058,900,730,
291,452,905,410,413,443,025,646,768,559,299,771,425,107,813,739,511,800,666,
570,272,073,200,710,149,479,896,006,067,829,964,318,398,888,544,586,942,306,
477,416,547,345,104,462,757,579,990,644,966,425,358,760,003,489,532,951,281,
066,970,182,849,049,973,405,950,946,481,634,155,703,304,926,573,715,502,361,
828,973,172,346,775,840,293,844,618,260,958,105,200,696,983,726,787,467,910,
076,434,805,340,599,556,007,057,599,438,170,327,155,572,729,100,207,941,071,
292,563,815,504,535,342,379,503,488,419,800,059,359,833,739,427,704,462,807,
737,706,115,622,215,304,954,715,723,620,969,020,539,472,779,455,144,324,179,
577,449,888,956,412,302,187,456,591,952,944,854,625,917,566,806,935,531,711,
363,076,637,185,049,532,160,703,279,543,017,522,002,753,301,326,205,513,167,
302,489,661,225,811,681,691,938,742,990,891,554,451,222,551,487,553,722,488,
147,589,796,292,271,539,616,607,857,758,417,751,873,711,359,730,195,986,852,
270,632,442,660,730,348,816,570,574,026,338,845,753,904,797,614,087,682,668,
875,793,010,052,660,122,269,009,053,925,235,973,039,769,176,467,199,502,934,
495,158,080,644,846,917,901,308,475,447,591,064,039,098,614,447,832,669,516,
829,214,424,272,990,130,662,367,772,839,558,464,487,843,200,281,997,845,326,
528,913,569,046,478,224,813,413,287,554,705,575,992,708,365,790,580,406,551,
489,371,360,337,348,110,377,854,799,670,170,278,162,364,284,674,640,264,567,
187,529,217,585,085,532,949,704,963,072,457,330,015,939,243,993,700,229,667,
245,087,053,823,938,861,769,754,011,418,347,831,574,502,561,758,664,739,033,
823,380,544,643,174,157,646,812,662,995,543,641,743,148,516,641,357,753,307,
708,445,147,404,181,598,988,369,214,917,670,886,853,555,332,476,965,377,462,
566,149,953,388,466,705,341,689,925,940,658,159,074,738,392,010,488,926,776,
164,115,932,057,877,839,868,519,387,945,633,124,743,658,685,958,925,915,819,
315,191,274,306,466,959,363,151,382,181,507,868,368,472,978,212,446,444,926,
441,632,601,541,486,507,416,294,851,840,131,395,055,995,275,103,757,246,487,
317,039,209,988,449,691,032,637,044,115,238,332,914,420,664,837,316,908,968,
195,221,246,953,164,180,258,181,463,388,254,655,157,071,480,701,010,862,159,
088,586,580,351,715,579,883,777,382,662,238,234,457,589,151,391,482,561,471,
486,237,715,152,827,942,284,721,443,183,886,335,492,821,293,517,608,250,326,
544,020,166,317,008,456,487,221,535,751,891,989,020,739,423,339,466,465,991,
834,134,533,444,406,767,527,037,845,444,768,052,881,821,883,494,335,115,244,
930,095,724,806,928,517,322,895,390,569,644,030,084,773,629,585,936,796,805,
820,120,313,651,447,943,077,493,530,313,638,938,845,099,222,375,964,710,906,
802,030,236,181,888,425,224,378,794,594,285,424,715,927,669,270,221,309,324,
308,751,707,361,584,912,192,377,523,711,316,762,164,879,949,867,972,154,575,
609,876,522,251,352,908,961,502,019,930,685,396,701,927,448,241,913,532,177,
279,485,584,738,846,951,006,657,498,260,504,951,184,982,905,628,415,523,503,
569,245,127,823,986,080,881,906,270,341,821,639,162,172,087,055,141,332,698,
501,279,959,320,941,282,072,174,158,409,820,620,888,087,670,111,880,307,816,
809,146,326,160,187,969,678,166,460,102,007,613,769,191,831,798,376,497,318,
260,286,953,620,240,885,089,359,052,406,339,498,849,951,465,006,346,987,086,
976,715,816,920,940,034,699,016,419,373,594,572,336,363,586,104,890,976,943,
220,924,317,584,800,220,895,341,766,622,771,376,518,874,795,243,817,601,697,
413,948,169,861,718,469,484,220,909,542,636,301,771,700,587,621,511,804,630,
605,317,124,471,131,143,544,187,589,181,301,101,447,108,116,775,946,897,957,
671,262,773,845,833,094,194,987,868,844,765,264,139,496,673,081,045,791,993,
261,372,302,181,320,666,811,406,858,307,359,298,947,398,139,421,435,719,215,
444,820,728,581,788,686,852,130,923,644,880,746,484,141,487,361,986,291,480,
857,904,055,613,245,552,412,677,908,173,283,431,949,618,058,294,905,772,004,
563,239,071,836,873,866,321,198,276,602,892,022,628,745,871,455,741,888,191,
896,859,445,242,864,188,578,308,665,642,535,971,169,823,452,039,401,864,377,
368,113,373,208,835,609,055,171,804,868,208,551,516,049,125,490,335,473,154,
393,877,033,341,503,985,328,134,629,001,206,875,622,768,119,127,453,135,673,
267,280,076,566,068,032,136,694,644,229,488,709,601,921,699,784,918,690,468,
799,870,895,734,826,089,163,355,731,522,376,684,760,731,452,565,709,324,149,
855,108,816,758,725,443,796,822,821,705,790,080,578,613,569,166,675,168,616,
436,342,355,649,892,634,688,182,336,605,522,109,630,865,247,297,605,031,694,
940,196,071,335,756,115,403,543,987,384,719,126,211,026,452,640,345,891,596,
051,928,425,365,643,582,672,071,636,292,977,921,328,358,887,304,406,720,855,
853,687,786,559,593,849,047,851,989,921,232,618,852,417,052,062,797,150,202,
860,256,191,950,423,738,958,283,650,676,683,021,170,183,932,320,130,184,195,
243,896,006,514,644,084,414,088,964,872,591,020,521,196,897,819,082,099,056,
042,833,437,053,276,550,404,434,737,919,460,279,731,122,698,128,615,049,881,
618,998,669,575,802,667,848,687,056,624,562,479,286,590,049,354,899,336,653,
184,248,245,262,887,746,883,818,374,073,473,296,499,806,452,939,870,858,100,
674,090,963,496,577,963,450,322,523,814,625,564,522,875,616,153,245,355,149,
429,453,657,980,747,487,716,110,019,611,491,566,615,977,137,784,883,837,833,
624,228,855,790,643,813,055,263,286,453,390,625,641,889,219,173,586,716,867,
500,099,165,031,021,496,671,000,882,271,457,023,536,721,598,205,727,606,024,
053,637,400,091,008,914,964,359,528,394,790,542,200,173,770,250,039,055,315,
478,493,909,712,267,517,081,533,185,777,460,916,881,273,109,747,514,316,507,
801,422,447,148,568,552,674,823,108,242,368,914,269,731,680,719,997,384,143,
327,434,213,827,868,464,695,024,685,053,250,947,383,884,947,835,533,511,605,
423,726,480,768,857,053,823,282,819,563,500,990,975,688,751,770,126,763,036,
199,311,273,355,371,385,078,336,766,997,267,687,428,859,744,775,852,675,899,
962,646,318,664,208,964,412,260,482,250,914,610,552,333,271,834,894,191,994,
456,086,719,400,755,666,783,253,771,027,337,157,643,151,770,047,389,326,097,
969,478,442,779,200,453,055,838,839,486,781,047,341,037,528,681,722,260,776,
973,353,118,646,116,327,085,558,983,755,303,818,667,094,595,793,718,710,119,
298,982,987,476,316,428,679,262,801,348,288,640,698,189,016,468,006,934,506,
711,064,779,925,170,704,771,009,367,656,517,470,736,614,165,755,074,458,958,
714,388,658,309,438,585,002,707,429,695,513,482,668,686,329,922,908,384,598,
238,837,343,708,077,423,710,904,449,434,563,166,956,602,883,854,001,335,867,
160,807,892,933,462,904,587,652,056,507,380,794,343,299,800,230,929,406,881,
837,367,830,939,147,890,461,322,185,241,402,005,111,930,759,021,103,954,705,
290,911,172,127,628,236,285,524,320,473,727,386,274,357,359,683,004,620,236,
067,427,621,202,207,157,736,282,623,035,573,260,102,463,718,547,592,435,639,
661,242,447,730,781,370,570,419,018,755,564,831,105,280,811,852,850,896,223,
067,395,843,732,424,299,836,464,772,468,554,371,765,605,432,068,205,858,633,
385,033,181,284,339,123,259,243,353,999,976,927,205,664,243,834,132,879,375,
565,807,871,610,458,475,360,096,403,974,881,374,631,133,388,123,722,582,287,
982,844,681,939,763,190,552,498,313,185,273,654,230,769,765,972,303,934,879,
295,417,864,346,925,418,404,762,229,739,164,835,593,554,908,997,347,530,918,
583,572,261,727,444,487,104,097,800,611,206,721,805,805,289,606,362,194,470,
814,686,035,448,585,392,233,181,082,299,357,405,287,493,977,596,992,700,457,
405,191,821,162,903,036,121,576,460,627,586,129,635,326,321,029,687,663,283,
007,123,404,914,811,810,621,498,605,456,436,646,489,346,508,594,890,698,003,
747,855,327,052,616,573,731,466,155,140,428,451,559,545,627,597,847,090,334,
535,144,353,714,068,795,352,619,104,135,885,141,588,622,629,648,098,740,810,
272,883,469,156,655,533,299,421,991,341,426,308,355,422,225,275,606,756,220,
962,207,663,392,726,741,991,454,346,227,145,611,261,195,781,997,765,818,834,
086,119,876,267,905,161,865,455,238,103,202,151,650,607,261,852,707,330,148,
410,310,102,705,402,183,194,709,892,071,940,431,314,104,128,546,120,455,888,
813,654,417,887,608,825,253,708,378,338,688,281,402,748,676,456,767,336,956,
129,819,473,303,386,190,779,268,973,291,447,020,866,886,075,799,607,225,440,
972,730,165,657,998,279,474,791,805,460,087,669,073,764,512,122,707,325,351,
471,247,187,598,443,192,689,039,757,012,423,103,184,613,734,559,367,073,810,
787,976,612,700,173,105,344,327,532,957,967,623,811,601,266,969,510,993,979,
060,129,134,448,111,738,791,325,069,098,321,192,204,191,947,201,004,907,567,
680,019,293,932,050,499,129,952,582,987,375,159,603,857,485,331,902,479,268,
793,231,052,888,384,178,054,946,535,516,927,381,932,065,371,382,078,409,654,
069,086,201,662,701,526,365,880,451,842,901,242,756,623,056,366,980,094,775,
776,994,880,739,433,853,203,618,177,988,107,304,861,634,669,218,073,326,454,
057,726,810,953,913,182,717,049,859,925,335,006,454,640,933,390,489,585,074,
295,274,270,700,032,618,998,636,317,989,943,686,889,455,255,449,410,348,731,
309,782,905,858,624,894,480,451,038,108,538,504,672,934,972,340,577,113,418,
994,037,739,879,907,902,722,914,913,366,946,962,795,978,342,667,015,663,025,
405,874,886,717,764,366,562,053,525,754,405,445,821,458,747,358,381,459,108,
638,166,250,649,452,571,686,151,977,889,094,345,432,639,083,892,733,952,043,
413,891,369,445,206,307,447,810,399,624,430,494,607,646,990,443,861,723,630,
860,683,445,455,010,531,433,404,604,003,421,388,042,961,395,215,993,874,953,
535,406,082,671,403,847,929,985,125,218,735,908,932,400,705,277,793,327,297,
339,912,805,167,349,921,687,336,835,604,977,662,426,759,395,047,323,630,701,
542,266,272,541,244,824,931,211,706,602,350,466,116,371,749,473,975,291,653,
163,869,522,459,325,541,012,894,322,537,675,565,430,313,247,528,154,920,505,
701,413,771,699,610,651,365,065,399,876,636,817,905,193,628,797,650,825,860,
179,307,721,639,023,578,209,171,473,405,360,495,836,788,032,724,596,398,459,
624,715,951,973,316,197,173,309,505,545,339,111,559,618,701,336,326,302,025,
861,236,712,704,300,917,226,313,229,078,054,539,108,967,546,452,558,254,397,
534,206,246,492,702,858,980,609,766,084,334,188,053,559,512,454,206,157,410,
524,294,842,255,419,944,555,635,081,492,195,070,071,048,146,832,043,223,392,
591,626,800,539,183,478,360,904,021,580,911,489,811,320,932,720,271,818,016,
113,936,753,838,996,367,414,709,930,716,032,232,326,516,210,956,622,746,062,
179,883,230,252,838,599,899,199,082,456,468,964,713,295,207,364,956,366,661,
059,978,365,989,993,923,004,726,751,994,954,957,226,961,132,280,206,512,585,
668,775,309,979,066,359,246,847,520,984,929,633,451,980,304,416,167,101,682,
817,845,963,414,649,357,494,290,547,348,919,786,307,611,554,810,974,307,440,
391,988,956,889,166,061,036,437,651,734,839,262,199,425,289,134,455,434,372,
756,865,602,978,542,716,675,707,988,731,192,745,349,331,988,223,185,104,060,
304,393,719,537,623,356,520,551,114,236,587,348,574,217,495,641,689,987,013,
785,449,442,422,641,909,462,761,069,826,227,197,923,842,818,854,853,442,008,
274,606,318,649,148,889,999,923,810,772,161,490,130,828,082,248,708,751,746,
482,843,637,121,263,197,585,494,440,104,569,045,152,193,153,004,255,622,350,
720,653,074,410,387,968,271,666,967,784,140,716,420,899,702,900,226,948,722,
990,165,192,918,981,950,560,129,942,295,156,692,676,313,207,289,254,906,983,
154,191,985,351,626,073,662,593,622,138,938,261,741,713,784,430,694,834,791,
192,867,054,624,841,676,073,747,624,997,157,171,657,559,318,913,841,957,087,
012,600,388,778,987,293,764,343,117,025,432,756,400,350,561,120,055,116,112,
002,888,193,569,317,280,137,281,353,133,290,834,465,919,958,616,561,765,115,
917,538,244,104,931,317,436,320,951,217,922,423,247,884,326,995,459,111,695,
858,058,270,601,901,014,821,849,696,563,597,758,464,484,140,062,712,990,868,
123,203,783,450,649,777,522,013,136,672,471,360,716,349,707,731,543,864,724,
745,537,196,546,216,662,348,506,845,493,937,960,209,544,360,769,084,803,544,
132,917,777,134,647,421,428,383,177,687,766,079,634,335,533,477,705,004,762,
599,824,387,547,803,086,666,416,971,810,920,242,195,005,701,028,111,980,955,
827,897,480,780,591,990,291,021,640,058,787,030,238,273,775,173,862,588,352,
238,800,091,102,556,469,182,381,225,002,557,600,016,026,649,261,371,272,551,
991,536,591,348,126,799,749,390,915,584,804,944,662,567,755,147,799,182,473,
330,201,536,718,767,810,088,646,900,369,080,581,344,415,764,656,834,304,895,
414,776,809,298,967,488,320,393,368,803,785,696,576,157,952,552,218,294,602,
146,195,490,461,290,694,036,310,423,550,759,585,202,429,328,510,152,219,405,
420,286,801,921,180,099,686,317,247,463,694,969,031,343,498,963,294,204,760,
920,521,244,697,963,597,457,759,100,230,425,834,044,445,621,629,580,547,594,
491,308,781,975,194,932,135,949,510,648,257,111,341,695,712,194,728,286,559,
713,287,799,346,883,493,018,212,050,125,300,835,927,940,516,380,533,827,119,
336,775,254,727,532,400,743,104,972,729,558,507,597,929,756,255,953,470,757,
638,332,587,570,759,950,348,070,701,190,675,569,625,604,663,864,882,107,554,
799,589,762,358,635,733,313,207,215,663,735,798,382,392,373,403,197,702,828,
225,322,256,832,572,675,553,893,425,314,221,884,234,687,698,065,248,275,528,
159,554,967,566,620,797,216,591,813,459,583,688,309,037,446,236,330,416,768,
782,570,009,648,188,138,931,247,871,951,140,181,097,979,803,513,608,246,308,
893,251,699,509,098,067,682,122,408,725,418,274,329,982,104,048,886,284,113,
396,920,089,129,211,476,739,949,791,787,989,344,882,386,441,104,077,619,089,
676,852,232,752,125,265,978,336,567,443,746,675,664,604,637,593,767,068,790,
955,353,843,271,174,033,050,528,559,931,177,462,975,225,900,771,945,538,141,
985,472,795,889,817,219,010,409,197,845,796,846,233,144,183,169,735,936,890,
583,818,259,310,591,912,561,567,815,467,443,906,822,831,244,681,200,129,275,
506,016,089,802,881,599,950,244,496,847,449,038,342,980,454,801,949,419,138,
020,754,018,952,331,990,267,210,976,673,937,358,559,436,546,224,933,959,902,
371,808,745,514,368,336,287,364,058,254,496,384,690,168,918,718,173,604,096,
656,592,469,918,519,430,081,136,685,317,208,310,030,300,422,467,514,947,436,
941,211,198,575,958,787,156,245,277,458,093,158,976,035,220,058,260,644,603,
905,393,839,244,976,746,049,002,776,124,319,212,545,211,293,590,118,228,687,
639,949,963,590,452,767,752,582,534,189,322,526,061,404,780,419,920,381,446,
914,132,854,008,779,391,617,781,031,206,300,627,132,442,375,770,540,457,569,
192,345,780,060,009,443,482,242,527,388,302,665,401,625,793,262,508,123,061,
502,050,207,784,881,611,759,791,090,246,752,522,981,900,838,120,376,676,588,
962,093,079,866,785,430,378,403,286,476,938,660,042,610,175,204,926,077,527,
634,763,139,453,651,546,142,725,653,083,717,990,516,126,606,976,100,531,973,
600,072,209,286,237,346,117,196,836,564,510,179,216,228,433,104,632,141,590,
807,958,767,423,477,972,003,072,980,241,182,178,334,945,725,966,383,210,517,
431,285,631,445,293,447,808,692,251,516,071,963,480,105,424,864,666,357,953,
450,695,776,131,314,189,570,526,354,289,248,164,543,255,177,890,161,563,833,
225,949,366,629,442,820,183,067,125,046,019,425,190,862,395,240,517,358,844,
537,782,837,652,574,583,358,454,360,352,244,871,103,726,880,661,693,940,911,
268,841,466,085,279,776,891,974,322,443,409,357,720,798,126,269,918,764,089,
602,838,326,517,346,426,087,369,019,254,573,920,659,736,524,356,094,830,922,
257,668,941,116,780,186,583,405,242,462,394,877,081,991,013,807,238,540,062,
921,051,622,887,536,285,042,688,618,200,973,114,791,540,078,310,329,986,955,
916,395,150,941,326,240,547,980,928,889,199,780,679,559,589,220,380,596,878,
953,350,896,523,189,191,786,335,803,087,793,280,795,567,600,975,435,241,551,
615,410,371,184,274,940,205,424,150,519,452,259,165,198,951,721,280,376,907,
342,628,720,281,518,508,585,496,055,962,527,015,393,775,799,708,604,027,918,
491,935,447,865,459,629,282,542,860,665,501,918,760,650,214,906,429,143,305,
347,129,231,420,264,931,703,204,631,372,110,659,116,946,600,161,223,531,854,
170,813,668,619,210,809,165,316,789,372,497,478,178,957,624,862,689,908,982,
824,260,203,938,281,452,764,356,851,496,078,922,382,715,779,810,322,968,091,
346,869,645,225,678,404,237,097,596,393,548,673,117,082,741,647,891,873,917,
894,025,330,245,147,797,288,593,175,735,116,091,144,376,210,158,785,657,330,
001,848,023,843,212,235,680,791,819,618,796,670,599,716,188,306,748,286,753,
942,738,830,245,868,077,260,674,633,493,890,387,340,954,175,941,467,057,269,
738,553,512,258,051,880,226,295,200,742,046,229,913,161,947,516,468,766,440,
138,999,683,152,821,801,218,048,832,405,925,137,464,281,936,990,540,229,482,
533,889,585,919,454,459,060,636,812,068,053,067,900,701,602,793,921,928,713,
652,403,977,001,659,977,306,323,839,067,091,596,266,260,866,446,994,327,292,
961,581,241,651,609,121,909,815,118,945,739,195,040,007,873,368,006,015,955,
168,645,763,989,452,177,282,391,404,617,109,270,792,329,516,754,753,528,216,
591,883,465,627,930,957,855,268,134,475,150,317,087,627,470,381,047,115,863,
681,936,455,512,971,885,888,140,665,466,464,359,537,465,765,799,203,476,899,
752,928,861,102,845,944,223,441,214,608,679,292,183,519,948,239,015,448,447,
306,506,871,736,491,609,597,817,616,646,424,306,259,302,636,518,937,362,624,
223,161,527,475,916,695,644,221,463,468,141,568,833,777,840,344,584,518,452,
036,644,408,011,910,249,884,331,588,245,133,992,293,822,877,477,857,282,372,
121,141,461,567,660,312,063,481,437,387,467,246,399,089,762,766,985,207,896,
295,111,718,077,926,062,840,420,173,877,682,730,882,745,730,288,381,761,278,
037,401,081,561,069,731,847,473,570,590,145,056,788,941,964,375,251,537,738,
397,112,684,019,012,952,287,097,431,774,446,120,713,152,573,483,294,116,255,
943,651,661,677,111,557,257,716,778,164,142,380,341,724,106,094,068,439,835,
460,258,496,043,705,387,813,140,285,047,835,518,444,618,237,181,943,933,276,
952,444,167,717,380,747,636,672,024,480,246,987,278,092,190,651,478,457,353,
052,179,436,392,022,847,881,220,675,771,376,020,224,683,356,238,743,301,956,
485,697,636,316,550,742,761,753,828,736,452,791,322,304,819,202,110,017,333,
022,337,531,222,706,909,254,277,992,242,634,454,748,928,678,253,987,222,708,
058,354,521,237,667,369,334,148,266,754,935,035,538,618,927,330,771,574,613,
056,172,159,549,029,606,685,440,811,831,065,916,905,921,177,176,701,434,380,
581,662,602,277,102,319,351,146,209,358,320,785,420,548,217,815,472,201,970,
164,516,893,277,567,184,520,899,538,572,884,322,190,855,127,014,047,795,873,
939,647,178,054,900,577,319,404,013,529,603,418,023,746,145,933,970,087,129,
572,370,772,926,380,617,211,540,755,562,991,295,229,276,886,243,673,657,747,
401,751,212,651,935,650,342,750,176,849,138,225,073,602,953,820,008,504,327,
220,904,346,397,875,731,344,934,236,559,632,155,264,902,924,689,573,687,986,
635,818,097,942,884,453,818,826,747,774,286,142,119,884,105,289,182,562,595,
582,267,333,388,202,802,840,632,855,129,200,622,020,584,762,800,702,761,190,
822,854,203,326,047,583,173,312,445,636,229,473,347,085,312,110,613,056,229,
147,333,858,434,379,742,792,668,504,845,027,762,899,348,198,986,157,618,762,
615,855,478,785,391,893,255,712,121,712,140,481,267,855,940,820,083,309,316,
164,188,890,748,607,569,855,731,141,048,341,543,792,274,034,070,558,988,885,
600,678,456,616,530,205,521,530,934,285,982,231,748,578,449,811,263,444,948,
132,976,259,218,505,483,543,797,522,637,715,128,209,681,385,887,818,529,735,
435,792,026,112,812,390,415,388,228,965,239,466,042,689,199,340,183,972,007,
678,932,383,673,773,300,043,669,358,736,162,642,530,865,678,139,015,896,008,
404,833,644,865,461,319,911,014,981,122,143,134,889,490,390,746,787,597,998,
375,547,729,765,278,570,032,125,280,547,805,191,791,126,812,724,662,486,582,
461,395,195,674,908,636,141,421,726,372,821,400,210,110,120,672,105,766,080,
684,670,009,157,604,365,029,719,931,668,702,337,957,164,797,321,018,230,084,
687,364,996,426,690,984,915,490,465,523,714,211,709,067,141,635,592,770,014,
109,752,656,920,809,656,897,464,643,596,183,952,381,776,232,873,122,858,341,
712,876,259,351,944,958,435,981,407,348,441,796,771,501,898,386,100,257,459,
810,359,056,534,933,300,895,576,418,839,835,281,265,019,604,195,334,921,596,
357,173,496,147,558,509,692,047,178,970,341,498,746,581,284,232,966,529,227,
837,365,136,891,198,293,720,788,266,961,947,832,374,856,855,875,182,926,304,
870,422,307,464,046,376,795,454,452,440,345,263,014,365,604,958,742,780,358,
368,778,513,345,850,220,284,977,051,927,524,656,033,491,897,721,671,714,892,
452,695,231,933,086,172,387,124,778,089,366,215,546,341,498,137,198,656,813,
663,429,486,357,055,583,536,908,117,045,719,319,512,244,100,885,849,197,089,
529,215,736,873,180,239,807,661,410,426,826,340,486,832,568,664,709,079,369,
220,588,934,788,526,648,823,697,405,882,834,424,389,412,473,670,920,301,965,
074,337,685,008,230,295,849,041,787,382,780,223,095,305,459,194,791,166,074,
007,318,631,207,815,471,221,590,433,776,718,426,545,989,901,667,189,224,932,
015,087,757,506,424,100,335,011,463,284,566,926,802,195,585,093,915,325,060,
443,110,626,268,245,785,473,072,738,115,777,946,035,122,090,296,583,877,783,
439,592,775,759,879,072,694,096,298,577,856,455,823,596,656,998,530,787,861,
233,350,266,220,789,823,044,011,844,117,934,718,594,795,727,977,697,550,293,
331,445,825,470,885,189,220,007,928,359,915,884,076,818,282,044,962,612,056,
842,896,507,041,178,968,745,905,442,762,925,145,645,483,429,360,620,318,059,
255,637,812,703,894,764,804,180,336,830,234,871,944,056,271,289,081,602,517,
369,837,161,055,803,617,858,248,053,256,378,880,426,406,231,940,999,849,450,
193,427,921,876,694,837,197,894,574,805,437,878,179,441,700,165,150,288,864,
370,940,684,271,153,471,504,517,438,776,771,358,455,563,701,599,659,157,086,
667,684,644,502,879,651,180,785,124,924,970,026,194,244,337,856,652,315,419,
022,181,646,591,569,973,540,665,241,272,355,493,383,844,687,036,026,024,378,
614,958,258,425,001,136,371,981,972,200,767,001,609,960,162,953,979,147,965,
435,690,486,518,271,984,040,522,675,032,208,317,840,208,993,300,905,499,933,
904,241,103,287,204,491,844,118,145,088,601,049,266,803,260,283,962,157,939,
605,897,936,618,005,403,464,726,612,446,033,900,689,491,890,540,986,988,882,
325,362,304,694,350,594,109,295,341,964,363,655,212,753,810,555,560,825,034,
710,092,236,421,773,326,793,552,565,058,935,505,561,973,728,762,162,086,955,
740,233,936,168,562,134,261,331,149,236,412,995,293,688,609,083,707,297,634,
749,649,605,634,182,080,256,012,805,999,501,211,364,390,568,379,642,095,400,
738,676,082,431,610,680,662,501,809,075,863,384,687,825,784,179,914,699,451,
151,664,846,769,638,000,306,230,389,063,525,189,764,256,146,657,130,326,068,
957,373,162,468,835,479,148,738,743,426,131,769,127,501,133,087,943,805,408,
213,434,374,503,948,350,701,503,003,706,824,852,754,769,805,002,982,226,444,
481,532,206,973,504,345,664,333,162,458,681,697,499,958,875,906,816,942,077,
078,157,167,630,123,427,474,779,957,996,547,378,974,103,658,355,540,578,662,
694,231,871,384,212,720,012,828,452,175,543,164,266,035,600,300,498,117,856,
271,672,063,177,650,659,694,578,556,196,725,046,798,881,023,405,991,561,313,
469,560,529,074,882,373,386,052,846,544,566,131,602,399,255,101,056,087,403,
698,711,375,373,965,123,171,692,680,028,043,688,581,840,889,659,340,573,790,
674,118,766,654,113,411,669,248,737,365,445,610,988,123,771,905,609,009,661,
956,057,049,977,375,780,103,046,621,031,052,226,005,927,480,504,551,530,483,
809,748,089,808,659,876,530,789,613,047,868,893,327,566,397,202,030,925,130,
997,846,183,303,329,978,622,872,967,983,230,157,525,637,355,126,415,626,782,
722,713,729,934,240,846,248,872,486,592,146,142,859,045,444,923,613,237,378,
996,411,673,124,191,428,687,898,333,841,979,876,033,325,853,969,955,855,863,
824,655,136,589,698,830,489,642,822,230,640,256,243,929,401,740,933,544,744,
465,407,675,224,056,030,084,772,456,467,932,300,677,072,602,226,567,726,349,
751,284,525,575,328,092,325,651,392,759,983,641,457,224,304,523,891,939,674,
073,648,937,569,536,975,056,385,824,080,191,595,986,847,819,806,065,455,177,
913,728,262,569,859,680,164,126,760,720,443,491,394,157,115,122,216,390,888,
604,675,935,160,256,233,293,660,534,857,762,808,336,103,174,735,207,216,145,
442,888,314,469,338,714,004,391,497,336,184,891,752,902,275,596,530,421,450,
185,375,674,445,575,812,081,130,762,081,918,238,772,960,410,049,193,009,736,
850,099,750,694,661,961,699,385,146,373,453,690,587,245,467,886,367,971,742,
986,194,939,132,259,170,370,435,360,971,186,128,698,061,890,467,049,527,016,
567,550,921,066,480,891,081,744,373,136,094,031,873,215,054,218,728,585,786,
683,921,765,991,584,775,832,157,599,835,682,088,606,433,719,262,878,548,112,
822,977,142,224,006,826,257,273,402,379,305,323,624,230,877,314,468,616,571,
261,625,599,659,418,608,158,339,185,670,609,473,047,079,927,479,823,757,255,
684,110,470,919,633,826,109,252,297,144,908,396,074,599,090,992,746,565,971,
542,140,615,721,061,076,705,762,837,486,765,557,621,917,958,199,715,300,068,
908,423,357,893,357,296,649,140,926,182,168,315,104,867,769,169,535,408,726,
040,605,985,615,671,132,371,118,460,784,880,744,101,893,142,080,381,431,182,
640,862,764,949,635,991,210,680,092,462,119,114,562,666,393,277,806,385,888,
722,285,892,924,813,139,266,420,463,388,967,017,781,119,992,280,394,271,464,
568,343,757,822,075,614,473,310,597,081,006,462,744,852,556,551,668,803,242,
721,613,590,291,597,844,292,641,996,522,658,339,681,508,835,042,509,769,769,
035,970,742,855,429,198,649,446,378,013,706,213,913,999,366,721,494,446,700,
872,494,985,461,059,266,474,510,532,251,080,650,341,378,907,166,471,319,513,
796,342,579,396,538,021,405,133,490,295,983,487,764,638,244,341,549,295,920,
370,039,731,543,470,621,317,697,166,434,079,632,369,216,326,436,882,848,587,
864,745,471,060,870,518,440,492,610,539,139,122,177,970,150,428,249,692,198,
715,892,424,390,029,460,284,259,274,702,886,139,313,857,373,834,648,544,707,
083,430,859,117,297,710,466,959,221,529,303,366,364,649,554,161,686,427,132,
471,408,220,014,726,979,322,569,257,349,272,959,334,058,496,001,638,981,248,
889,389,242,826,995,026,112,189,392,366,101,341,031,857,626,743,765,880,433,
892,188,327,621,361,692,516,229,362,317,887,923,100,287,525,799,327,473,827,
901,498,328,652,009,491,651,331,847,866,017,358,708,570,058,854,644,233,487,
414,239,364,456,461,942,755,289,059,957,490,400,862,707,116,883,513,323,621,
552,932,693,088,436,021,008,359,884,540,101,144,824,516,626,359,090,988,354,
941,829,855,127,139,105,172,233,335,998,573,690,184,989,680,364,599,273,502,
935,777,016,549,835,306,053,860,773,256,820,431,294,075,685,317,439,662,933,
221,512,422,205,778,005,964,393,601,356,702,989,558,487,171,913,526,291,024,
545,434,746,234,797,108,346,272,536,808,601,603,662,557,953,626,194,594,765,
624,327,121,856,645,511,750,188,212,510,653,623,163,616,558,512,146,955,978,
851,341,940,043,856,695,787,567,256,437,924,691,910,765,662,637,737,867,181,
191,719,657,665,954,453,031,859,114,622,904,989,536,787,251,467,663,997,498,
643,539,312,535,532,708,097,203,284,490,671,231,656,645,393,041,595,715,629,
894,301,235,638,587,092,362,576,869,334,781,917,266,194,128,443,346,665,848,
165,433,229,485,091,798,503,067,444,203,257,916,215,084,226,978,456,212,885,
906,117,780,067,469,286,495,003,445,854,060,544,247,428,859,157,526,560,031,
349,939,260,846,612,419,461,436,938,441,909,037,754,381,583,553,955,720,515,
260,958,756,876,001,728,382,271,354,948,431,676,728,702,164,283,592,392,597,
236,869,058,865,312,102,723,047,314,040,262,533,588,881,449,101,559,189,023,
295,852,408,143,818,814,608,823,975,559,881,909,771,874,166,707,737,101,827,
334,030,094,647,893,322,990,870,675,651,176,365,506,258,634,397,574,265,879,
004,518,518,291,704,197,416,808,614,891,108,045,876,279,195,757,320,722,429,
389,508,461,191,235,980,225,070,568,858,067,490,735,126,399,714,213,023,929,
025,563,756,029,901,538,373,612,636,315,598,340,833,078,815,490,930,866,321,
063,578,011,308,377,570,223,067,734,018,020,133,349,624,249,107,999,033,208,
219,769,405,043,372,536,679,839,941,191,580,326,932,288,894,738,411,177,889,
223,262,743,598,707,954,916,496,646,890,277,533,961,539,284,212,529,510,849,
754,940,346,312,511,483,436,507,503,388,635,378,172,799,095,764,232,668,503,
705,354,566,249,039,265,546,816,162,034,015,223,172,565,023,980,992,503,547,
570,243,698,913,348,404,751,616,166,079,344,721,551,237,188,767,971,173,104,
135,646,595,577,861,170,045,606,330,813,570,209,712,000,525,123,957,991,924,
657,268,999,919,144,484,357,866,341,424,126,370,808,623,469,406,499,209,857,
704,023,356,654,483,892,739,548,733,157,263,846,788,330,563,771,937,150,247,
750,660,072,672,936,488,954,412,905,721,568,708,766,420,166,522,782,807,785,
792,538,486,786,306,715,649,639,822,815,155,792,889,979,766,283,500,465,306,
360,798,402,451,681,554,042,577,161,327,219,757,547,012,956,762,826,442,689,
188,076,193,415,892,447,725,879,592,775,565,753,249,549,974,303,665,592,987,
154,976,796,953,444,639,755,196,923,192,775,396,401,235,787,446,641,329,651,
098,992,551,201,547,549,466,697,594,554,410,242,078,363,826,445,177,876,205,
912,459,914,962,675,210,527,578,870,347,092,143,412,080,205,466,381,337,881,
487,573,848,459,904,301,253,531,068,854,891,222,882,717,868,000,270,210,787,
583,316,449,306,041,317,682,867,557,359,363,729,021,920,931,788,175,740,782,
648,612,656,844,120,478,658,038,398,495,266,244,779,106,933,075,615,544,537,
633,011,601,964,332,279,575,636,906,426,643,560,730,815,645,225,642,543,986,
198,989,448,035,615,783,716,902,946,025,070,747,762,425,617,648,752,234,684,
163,956,171,729,932,568,755,694,387,128,099,254,132,551,154,694,784,514,856,
300,929,372,725,037,753,815,349,287,848,584,538,880,706,296,847,134,019,805,
554,619,352,597,998,416,363,100,914,256,862,874,993,749,403,272,486,194,439,
513,138,630,621,850,353,988,817,575,317,018,826,456,091,067,208,518,607,933,
845,812,686,832,114,672,524,250,300,982,231,214,343,603,827,139,476,346,356,
264,682,400,304,510,274,246,505,190,003,973,987,115,011,564,663,847,819,301,
212,794,545,199,279,906,494,272,915,892,992,000,235,948,607,967,457,374,905,
818,333,853,407,406,109,727,942,663,503,717,641,202,063,258,625,951,923,884,
588,780,611,269,259,067,581,190,408,947,595,767,654,956,562,071,751,504,222,
320,433,384,156,699,355,735,400,719,895,851,910,408,070,535,466,368,739,442,
641,727,425,769,900,453,823,260,116,091,592,156,519,599,191,893,886,547,550,
762,920,872,137,079,612,484,546,494,335,116,263,787,533,979,485,139,095,597,
012,561,864,561,009,074,745,409,365,473,288,489,715,570,260,064,086,397,213,
289,610,378,761,240,739,921,918,442,546,994,824,353,537,433,059,425,533,091,
367,760,100,382,149,157,367,492,967,431,295,218,538,602,097,890,975,545,609,
498,460,471,318,810,051,843,523,750,632,297,511,700,400,561,688,911,823,185,
351,116,583,643,502,257,858,312,865,695,354,985,184,994,666,608,555,460,838,
088,687,179,330,356,625,436,322,772,510,151,849,936,189,692,535,369,310,146,
056,486,601,026,073,469,143,337,631,789,311,650,379,700,610,661,723,295,923,
123,618,019,121,240,330,698,632,811,523,371,231,198,837,995,387,800,744,006,
814,203,949,659,486,860,580,680,093,885,894,339,438,436,324,682,235,086,983,
335,320,177,622,168,728,595,252,222,341,612,286,468,590,246,753,106,590,516,
277,304,975,998,393,038,317,739,483,163,136,470,099,781,810,841,306,663,186,
204,731,617,206,567,592,303,110,809,047,386,450,192,253,567,288,917,889,861,
000,595,549,286,542,783,430,974,382,981,797,347,343,865,942,010,824,064,186,
029,244,871,601,917,090,580,018,157,369,708,993,892,913,102,725,478,304,717,
942,963,833,534,178,272,179,175,739,610,902,545,947,082,035,415,902,532,419,
539,817,362,378,448,964,710,102,338,315,290,843,201,806,409,378,730,587,223,
864,116,987,159,355,677,628,447,685,026,939,582,803,647,254,344,141,021,904,
501,723,362,275,733,899,511,307,029,390,091,486,922,915,152,465,438,450,759,
999,837,115,959,538,299,303,319,051,229,529,758,097,076,092,842,988,954,625,
842,131,544,072,222,790,936,987,257,801,480,501,653,079,652,700,365,360,577,
617,033,786,424,960,241,971,447,690,003,512,349,624,719,814,308,539,904,552,
178,656,614,971,451,666,442,531,945,410,797,714,009,991,200,085,903,259,697,
198,080,399,886,213,086,549,915,035,456,574,995,887,653,527,643,055,814,966,
367,160,282,478,189,326,154,736,881,012,746,229,411,482,353,161,671,050,068,
745,876,281,374,110,392,255,370,581,303,167,641,069,153,064,203,223,331,083,
023,056,177,707,167,164,786,632,792,958,485,793,563,733,614,766,055,552,291,
315,371,707,290,009,821,216,034,502,037,438,045,238,321,804,293,857,685,315,
851,761,913,950,329,628,557,386,924,437,505,834,020,557,987,463,636,285,359,
995,312,940,446,155,929,913,658,867,809,416,348,079,606,553,514,146,089,377,
338,761,945,972,245,295,923,227,158,150,422,524,738,974,932,878,130,141,565,
087,125,579,658,641,795,002,637,550,420,616,773,701,330,308,118,942,540,782,
075,201,135,107,250,324,693,995,535,882,415,598,393,884,659,578,962,446,524,
275,553,797,223,582,106,772,899,147,514,794,048,409,895,826,099,681,286,681,
887,970,368,280,242,336,356,098,863,053,906,456,084,374,992,810,391,877,995,
544,808,147,564,491,476,601,981,295,719,308,887,278,627,574,239,692,651,806,
113,973,456,877,375,096,590,522,775,199,806,763,390,759,362,173,587,525,779,
330,725,508,515,298,508,664,476,454,119,029,557,040,654,840,431,800,360,117,
186,569,776,461,587,509,518,602,007,875,957,947,128,948,447,056,448,524,001,
399,182,770,148,114,906,969,399,164,487,607,649,735,931,831,305,975,338,138,
625,369,576,041,212,585,833,054,731,963,645,960,467,142,450,960,170,155,121,
793,222,300,684,088,693,709,827,585,115,518,770,435,136,077,661,436,201,682,
393,651,961,942,831,960,072,144,681,294,827,429,609,710,453,270,874,676,250,
385,935,041,503,083,137,481,772,477,074,857,884,307,723,283,880,427,437,507,
909,359,701,717,715,172,533,202,057,720,058,798,135,515,141,398,415,725,522,
348,838,399,055,700,779,372,104,217,447,769,037,598,725,732,530,481,136,437,
298,526,579,643,865,658,913,048,935,834,570,645,375,029,162,897,346,341,558,
651,283,965,848,385,994,557,204,410,747,204,159,689,078,219,605,549,108,698,
843,495,196,941,764,958,502,811,052,974,663,137,231,495,606,070,914,245,082,
569,305,122,727,122,957,757,119,859,741,338,163,471,210,576,628,693,419,175,
535,324,440,595,984,679,105,558,226,684,002,481,021,566,152,057,102,956,085,
422,138,833,301,425,759,347,056,159,783,745,259,903,867,930,516,469,929,193,
677,313,605,319,117,711,954,125,857,780,510,867,059,409,173,015,150,963,733,
809,549,934,761,404,977,034,512,858,740,807,517,356,569,959,468,771,311,353,
359,554,203,721,724,378,381,346,900,769,358,033,814,905,105,618,516,825,116,
720,313,655,780,078,689,926,590,723,726,277,232,685,017,521,287,479,919,959,
534,319,404,420,038,674,943,975,267,401,969,267,545,859,659,899,252,482,702,
652,199,572,052,099,434,193,398,365,269,546,370,344,782,099,348,132,553,667,
151,401,403,589,123,529,181,325,029,993,776,948,691,556,318,162,680,834,534,
714,783,211,564,426,542,686,810,500,372,838,225,911,391,358,635,510,285,581,
156,258,468,238,738,994,899,456,030,565,087,096,109,293,077,935,912,149,914,
233,772,622,346,149,341,011,463,441,109,389,723,348,660,327,348,550,064,550,
441,995,221,867,896,520,022,107,482,692,708,956,362,815,147,257,255,726,337,
943,044,400,392,078,535,486,500,474,449,971,044,698,640,364,327,510,269,260,
276,110,851,413,158,290,061,713,975,551,352,882,210,569,815,451,785,557,516,
038,083,405,525,867,869,006,300,192,640,605,304,608,491,499,729,874,067,724,
702,875,616,074,079,938,650,733,339,175,177,670,234,388,589,091,064,985,423,
333,055,954,359,727,448,349,979,957,453,271,909,522,108,038,524,498,194,246,
214,825,876,651,392,738,031,598,298,199,770,394,005,848,213,427,801,358,299,
697,245,397,378,122,859,699,249,657,363,701,057,177,275,005,312,348,406,740,
426,066,052,808,218,768,889,851,976,376,756,319,881,120,893,068,764,933,768,
326,560,692,461,322,321,378,755,395,361,303,168,510,420,561,048,077,875,959,
302,923,025,774,090,681,655,460,579,455,240,714,299,385,835,911,663,274,128,
827,334,379,405,496,012,666,192,422,063,887,378,732,863,276,485,679,752,214,
601,026,132,493,411,655,964,316,593,929,228,422,518,910,677,174,530,711,253,
949,640,660,200,192,190,883,186,807,768,001,109,557,710,029,870,350,809,064,
859,284,508,896,499,012,594,899,524,907,409,052,264,403,718,933,006,016,977,
593,916,993,359,436,882,316,052,381,925,233,236,503,577,584,762,992,576,750,
828,940,444,095,308,135,770,631,104,738,557,272,001,567,404,559,972,153,412,
237,262,414,113,760,860,821,433,766,565,508,242,449,254,283,685,003,054,675,
745,586,741,758,242,505,474,867,664,462,235,911,217,661,217,151,561,471,204,
522,873,291,647,210,664,966,414,494,346,208,415,439,480,648,998,754,445,614,
006,379,340,766,312,858,619,150,852,370,615,690,041,434,200,493,574,152,568,
058,013,867,561,343,268,511,045,826,903,929,651,065,898,343,044,180,449,705,
293,828,467,037,924,618,335,541,681,558,863,252,806,988,662,080,034,287,136,
526,883,163,087,319,451,307,871,999,885,475,299,067,860,879,511,854,040,051,
524,236,668,582,348,840,924,266,150,577,549,163,719,284,212,075,481,611,813,
404,999,299,347,435,431,940,235,637,089,195,279,316,637,170,567,189,531,678,
273,319,165,799,197,562,791,155,267,680,669,083,243,557,162,798,912,679,628,
231,102,933,974,521,125,722,852,917,602,153,705,897,905,366,799,608,050,703,
675,182,436,121,934,610,645,948,001,344,236,182,506,796,928,720,388,318,593,
390,386,632,901,566,182,077,158,444,361,018,807,189,459,141,279,439,047,797,
017,190,800,395,137,536,516,909,113,398,049,373,328,882,639,180,587,104,641,
242,483,555,469,838,290,517,261,145,678,292,441,584,521,971,740,587,888,088,
957,469,902,532,158,161,115,993,689,396,135,846,864,275,499,232,501,434,123,
540,772,428,837,550,537,242,658,767,642,112,545,160,533,931,948,092,713,820,
952,231,761,492,809,657,148,333,936,864,511,389,147,185,981,335,188,650,618,
595,759,968,197,512,653,340,831,703,024,988,870,341,009,087,662,753,281,613,
149,072,274,042,252,560,312,976,678,416,246,007,323,164,919,724,297,871,501,
514,555,568,538,933,129,810,445,771,663,861,796,171,634,433,545,554,188,274,
234,459,215,065,010,137,024,117,019,259,815,337,424,449,122,264,378,958,932,
188,273,384,183,820,206,506,354,246,212,684,432,961,460,710,121,859,634,259,
870,883,862,811,919,238,498,993,644,109,563,125,638,002,240,628,674,704,854,
397,716,679,028,855,083,064,389,398,125,945,255,177,889,565,010,012,008,792,
238,981,587,808,435,127,672,791,652,146,235,301,703,022,916,257,730,395,757,
122,579,326,484,423,316,708,816,531,405,385,850,198,657,815,744,826,425,681,
053,997,008,162,350,331,824,185,250,441,713,156,316,918,729,451,279,979,478,
975,741,581,248,829,352,988,576,374,917,235,963,779,243,797,714,076,335,172,
682,202,572,357,849,832,875,733,282,484,632,102,410,912,250,012,152,276,826,
705,670,075,500,145,309,482,430,801,941,418,169,338,019,175,747,748,409,021,
184,916,979,145,891,932,611,020,563,645,654,996,086,326,649,532,215,685,024,
678,203,523,692,847,396,989,471,590,712,642,714,686,801,163,002,999,438,567,
665,555,437,919,287,671,297,881,625,040,505,660,860,122,999,859,712,076,102,
626,808,760,993,217,122,406,767,393,537,281,042,561,493,976,104,255,787,875,
032,441,500,370,944,130,818,217,667,022,059,927,445,920,542,809,635,146,209,
577,426,933,969,176,359,772,124,157,388,950,684,587,452,952,519,791,067,352,
784,110,035,223,441,940,640,996,497,150,658,693,250,556,421,229,538,379,266,
800,049,979,839,026,700,674,488,693,247,343,778,194,041,800,577,420,050,580,
311,864,545,647,191,107,359,355,519,249,890,460,525,419,685,005,117,254,747,
412,063,431,555,374,144,323,802,564,379,287,276,478,145,990,501,980,247,878,
795,800,190,543,995,878,380,560,102,341,576,791,993,630,005,136,484,556,940,
438,632,649,757,379,689,845,541,312,837,959,660,119,803,701,638,981,607,235,
999,608,055,445,154,971,932,149,353,089,340,297,255,914,175,693,657,637,162,
948,473,272,818,851,030,465,536,181,041,035,974,225,708,233,355,306,124,537,
025,349,499,957,728,890,131,556,749,363,446,300,241,807,786,296,166,665,010,
003,443,480,521,078,740,535,987,991,810,417,248,305,267,400,013,087,709,036,
673,478,255,008,988,230,972,994,706,382,451,256,144,633,070,596,740,471,265,
021,722,276,897,639,583,924,319,547,767,653,288,951,397,840,179,635,552,733,
253,337,545,196,566,500,897,012,252,129,648,424,432,552,232,941,209,998,953,
204,491,375,335,113,609,902,526,346,797,843,305,947,050,011,074,402,267,884,
029,827,936,166,910,185,919,694,604,026,420,914,578,308,693,365,170,446,083,
080,101,712,697,588,411,146,075,291,559,416,050,510,287,019,133,885,572,368,
825,789,554,354,130,065,165,419,995,979,200,400,175,586,536,999,380,122,908,
324,068,061,939,621,421,027,650,772,879,682,373,518,408,183,686,213,297,103,
721,350,525,946,881,267,673,786,008,395,307,068,511,469,711,491,917,269,828,
993,926,407,036,900,615,063,951,575,915,474,746,064,799,775,370,181,246,317,
577,316,130,396,290,800,360,025,144,146,633,188,692,195,821,215,113,339,045,
702,214,175,487,046,834,637,006,325,466,823,370,004,384,695,523,674,691,938,
491,244,389,792,139,044,726,848,437,871,498,168,219,702,611,808,173,252,770,
787,932,103,412,009,592,330,210,123,171,765,871,944,309,016,216,725,737,623,
243,018,071,125,547,297,783,852,667,824,907,754,732,976,086,706,902,079,610,
909,554,488,676,104,259,747,374,732,396,431,364,014,215,484,311,341,629,681,
713,424,554,707,674,494,919,447,735,853,554,992,479,875,614,921,758,252,166,
066,256,695,954,249,065,925,024,890,225,796,710,601,376,121,696,136,067,402,
794,280,237,229,068,159,776,506,395,231,591,434,884,747,097,485,575,179,803,
298,935,214,478,794,569,803,369,058,876,537,707,011,026,557,773,075,629,787,
464,243,143,496,873,187,888,561,362,941,336,714,736,491,291,104,090,551,147,
270,213,697,940,753,560,724,434,682,038,699,747,955,086,128,519,855,839,448,
364,101,412,097,156,937,255,037,047,015,140,114,295,741,753,219,689,028,330,
620,865,309,987,485,996,648,461,155,870,470,717,302,115,779,230,210,065,040,
155,523,660,830,978,581,507,893,380,437,768,612,226,289,033,348,453,876,594,
680,093,092,714,563,451,746,567,124,342,674,239,607,122,338,686,813,561,035,
132,880,957,174,441,049,450,198,685,142,990,160,096,555,432,803,055,516,702,
273,007,475,402,908,043,259,979,861,326,099,741,140,724,755,720,678,129,637,
943,027,251,986,076,317,865,028,891,286,245,279,421,545,304,611,128,542,775,
011,509,575,488,981,946,777,395,680,186,524,235,245,338,842,326,829,106,394,
671,018,746,575,331,809,714,733,069,210,858,547,436,263,174,221,770,981,173,
531,324,797,207,638,794,421,753,730,899,265,419,448,285,712,918,061,461,252,
780,050,892,755,651,708,146,020,786,249,249,114,109,987,935,875,173,087,002,
783,263,953,743,785,830,780,316,954,805,199,540,256,766,863,593,324,061,725,
016,871,303,459,679,679,866,524,267,526,310,259,229,274,539,525,047,372,823,
972,502,312,690,398,669,314,487,728,002,126,542,990,576,824,318,111,917,399,
305,869,295,975,693,945,005,125,106,865,621,567,167,317,530,509,848,064,113,
099,639,234,821,643,893,905,389,001,144,908,278,708,993,813,105,060,953,859,
326,445,986,085,703,456,075,960,174,494,272,139,266,897,634,505,418,682,513,
525,529,467,610,088,457,855,398,621,944,744,167,406,330,124,359,130,406,788,
675,877,333,407,248,143,991,670,862,022,393,575,932,834,796,598,103,988,744,
132,147,105,143,299,731,874,576,512,158,869,991,365,618,233,050,031,573,557,
794,177,460,977,022,169,956,292,338,450,488,866,982,643,235,019,270,752,334,
141,518,118,095,322,264,385,913,726,246,380,549,200,120,781,540,936,095,448,
599,046,533,826,828,193,835,924,334,142,567,111,119,786,604,604,240,986,247,
396,718,624,737,538,480,417,384,814,225,965,472,414,152,237,436,541,946,249,
336,682,794,780,736,842,837,888,703,923,539,683,497,718,645,997,803,339,421,
803,246,382,047,510,435,698,058,306,917,652,301,457,866,933,548,686,735,829,
411,741,802,127,330,425,412,196,361,909,180,902,795,255,390,690,200,846,118,
821,971,461,324,383,811,303,932,762,946,835,851,618,320,904,945,498,480,101,
820,042,467,333,534,126,521,238,291,263,960,236,080,812,065,861,691,576,871,
193,268,240,113,032,479,541,225,507,815,610,361,467,737,245,238,766,062,267,
930,846,862,247,281,503,388,568,934,586,013,454,461,912,291,493,854,240,251,
280,242,690,034,215,062,328,990,067,709,357,022,074,899,151,561,709,172,350,
372,896,701,330,768,186,278,831,384,713,996,005,516,851,603,924,059,223,974,
441,853,610,499,710,482,772,088,748,014,098,164,679,016,177,645,352,554,071,
486,161,770,587,975,246,890,038,987,602,030,820,019,845,764,886,259,567,122,
559,526,668,881,626,209,197,514,620,899,320,076,046,135,376,007,675,461,974,
569,768,310,408,748,151,609,481,347,911,411,360,252,589,991,723,726,071,456,
436,881,292,615,620,507,875,579,465,214,618,075,282,280,302,418,249,431,282,
759,413,831,043,267,999,421,621,736,020,775,405,230,583,120,736,965,267,136,
067,108,188,105,529,276,916,014,399,064,712,401,178,922,814,862,589,768,483,
194,959,846,629,731,053,470,514,697,273,860,747,114,369,174,038,339,578,586,
371,212,537,433,360,841,118,825,584,162,703,081,278,456,197,309,085,295,784,
667,499,198,522,618,112,096,378,584,859,895,246,385,473,854,647,012,304,725,
737,469,458,081,750,541,956,013,581,929,669,044,617,161,370,191,783,131,370,
042,141,010,603,743,923,052,748,088,101,056,264,319,640,393,829,700,610,358,
213,057,746,067,079,261,795,643,175,578,534,159,124,301,831,385,865,640,907,
528,741,971,900,462,216,891,600,764,580,096,490,309,682,394,810,967,336,799,
267,594,545,317,282,002,398,086,973,556,293,581,775,242,151,042,587,693,332,
335,207,666,794,014,705,557,746,490,301,731,851,868,708,940,294,381,641,372,
459,073,190,413,125,121,773,634,172,033,793,095,593,524,616,670,696,758,463,
326,230,253,756,842,800,346,169,432,482,324,735,429,532,814,311,640,415,135,
212,988,016,910,502,264,005,322,989,833,097,323,271,385,657,779,157,092,152,
816,707,325,426,776,790,506,337,198,210,017,733,060,421,354,371,781,874,490,
060,825,177,584,864,554,037,695,009,701,592,806,613,327,706,357,395,879,737,
017,218,998,176,748,218,426,722,944,801,229,704,015,113,308,961,217,741,191,
649,577,285,530,566,892,365,084,857,847,432,771,499,711,063,909,370,307,720,
902,772,432,749,491,603,400,460,467,769,269,067,210,582,302,275,531,777,213,
980,960,202,770,083,655,686,129,808,040,204,452,160,152,230,511,246,673,047,
408,995,156,929,647,248,780,627,723,540,801,706,017,538,152,564,919,447,752,
602,001,308,168,326,857,149,326,216,879,413,191,864,688,181,831,563,135,439,
353,138,631,478,065,167,904,442,482,572,876,916,773,465,979,031,547,197,495,
528,634,291,013,098,203,303,113,302,012,785,811,381,053,095,024,391,984,579,
707,919,468,017,159,182,918,012,352,429,046,021,891,165,551,095,832,941,118,
632,336,274,236,058,423,059,847,998,575,644,787,573,345,840,008,650,030,110,
106,588,246,599,761,353,913,857,023,154,621,484,314,819,770,306,538,176,729,
165,778,138,779,771,071,340,671,818,734,167,056,397,714,240,402,379,577,721,
113,085,622,625,164,753,827,609,632,146,385,330,123,260,166,413,334,604,347,
325,274,714,351,545,516,058,427,418,202,533,974,701,048,625,165,282,089,876,
403,629,758,522,432,474,202,222,450,228,853,039,572,883,819,210,185,068,924,
146,519,161,056,209,256,796,468,476,389,012,158,281,924,121,693,754,913,342,
533,290,083,282,140,464,373,095,626,855,395,511,107,575,704,579,885,427,930,
482,909,535,972,659,063,904,912,902,922,327,849,419,725,773,497,039,240,735,
281,901,522,426,841,297,236,827,992,830,290,114,647,324,940,720,150,887,550,
249,098,288,227,772,504,143,220,278,236,885,738,672,899,227,167,390,939,560,
338,420,333,817,765,791,299,701,493,490,045,226,301,213,147,386,147,968,819,
111,147,731,972,059,603,991,256,241,902,428,267,687,319,927,819,429,465,113,
554,411,679,793,619,608,006,212,563,084,024,361,975,240,438,503,520,103,149,
195,729,422,083,912,279,338,943,423,285,441,229,305,125,397,921,768,347,698,
452,634,818,354,002,053,528,641,147,179,013,543,820,916,194,231,457,864,463,
388,904,311,211,256,429,250,118,873,120,017,630,708,386,523,207,249,699,069,
073,705,568,317,478,568,260,133,848,096,138,019,733,033,528,179,131,268,146,
088,789,738,237,753,929,467,079,024,109,387,323,770,368,051,733,127,470,820,
719,919,622,373,734,892,744,421,515,634,296,954,229,587,266,883,704,653,661,
029,332,918,856,200,036,686,393,763,945,387,535,483,382,691,630,323,941,191,
606,099,468,749,242,128,709,503,607,710,330,897,627,142,132,705,345,371,283,
146,560,646,440,653,282,386,579,489,525,430,064,002,373,428,325,926,445,079,
944,260,356,414,191,028,115,460,641,261,411,867,686,377,689,580,377,131,851,
691,536,374,241,941,417,838,420,111,668,171,322,183,236,028,263,201,121,174,
003,359,071,438,025,248,347,542,388,372,555,073,335,385,576,285,690,054,513,
430,045,397,134,858,728,125,434,858,479,517,179,250,249,026,626,228,355,790,
289,476,714,615,315,198,915,666,738,441,848,918,702,823,608,931,821,579,676,
052,003,598,819,435,344,698,574,851,638,018,667,177,741,541,822,800,267,495,
720,126,784,772,956,745,636,445,923,898,459,144,448,344,154,791,629,666,821,
610,589,048,923,619,676,838,218,409,255,238,702,155,196,132,978,986,519,497,
442,626,310,855,404,571,732,608,189,364,041,106,368,548,287,461,263,687,755,
914,121,727,615,701,061,669,767,776,142,984,965,412,525,178,876,695,387,323,
595,513,218,748,258,360,830,857,104,289,184,375,544,577,966,690,717,854,287,
805,043,180,378,409,834,038,113,413,628,142,245,457,081,164,658,046,993,257,
717,297,009,373,728,117,330,857,524,272,932,675,737,618,953,665,947,761,063,
085,139,278,356,519,838,967,930,318,210,769,097,517,594,554,194,265,610,987,
343,729,338,774,752,228,282,075,743,970,175,081,854,530,257,872,329,234,059,
894,502,130,296,788,286,197,022,812,678,621,174,578,943,095,524,030,385,285,
862,246,043,827,135,962,466,420,872,726,198,531,644,252,658,544,102,321,446,
464,943,658,852,591,895,671,819,410,698,161,350,463,766,858,335,685,947,674,
003,044,829,423,285,333,794,357,875,290,254,591,373,685,573,733,591,070,884,
211,014,787,749,589,319,930,577,614,697,928,159,978,822,585,750,742,065,455,
973,298,452,563,416,342,256,832,967,804,029,208,516,209,824,188,893,848,896,
013,743,132,297,397,763,485,154,581,730,246,769,484,287,637,932,656,668,889,
848,452,404,567,019,845,610,560,834,036,443,528,253,524,961,695,028,326,247,
386,061,623,852,785,399,635,458,177,770,021,025,702,367,775,072,968,072,996,
260,016,873,527,301,004,609,438,375,939,933,001,263,168,392,498,000,745,648,
750,323,301,105,627,653,645,357,777,452,923,786,391,262,134,371,932,436,439,
757,237,206,417,553,402,508,920,965,025,934,272,536,930,817,581,774,391,050,
748,619,311,782,991,593,619,821,483,113,413,396,464,862,220,508,130,834,363,
893,652,502,078,233,440,457,143,753,125,383,126,327,077,118,557,151,731,359,
408,704,992,165,567,383,029,169,629,942,008,329,768,408,641,708,986,772,683,
752,644,130,527,593,938,938,343,161,432,468,993,796,130,358,826,007,907,583,
175,421,902,686,147,145,026,162,437,426,175,691,598,897,942,520,962,382,856,
486,573,149,034,743,058,469,309,697,506,286,345,424,246,516,559,154,482,230,
637,402,927,203,716,595,348,678,967,324,702,491,313,019,663,621,888,993,489,
793,246,304,182,636,996,445,106,590,387,232,557,075,587,333,974,161,995,603,
662,041,657,881,427,206,730,661,926,884,954,790,058,573,645,326,491,167,231,
244,991,692,398,725,338,672,059,461,696,797,780,259,925,344,250,280,362,970,
644,815,413,277,354,416,699,071,324,615,372,135,848,389,302,876,350,400,852,
148,427,051,819,034,676,896,516,470,678,210,440,048,144,269,120,240,415,344,
423,733,611,568,083,079,509,892,622,411,912,732,962,901,360,475,545,828,358,
391,599,247,458,690,125,542,945,770,685,595,337,669,916,348,252,122,591,392,
065,582,055,352,292,826,137,161,796,562,124,566,780,571,267,124,266,280,843,
959,351,375,824,881,379,670,543,678,881,421,626,946,891,635,045,737,794,903,
299,687,955,431,496,215,465,218,178,566,935,852,042,225,100,574,893,683,575,
302,479,130,273,779,405,225,293,199,623,497,751,736,957,744,978,620,343,489,
577,275,397,292,503,777,109,043,140,779,488,660,277,796,852,033,861,165,069,
026,433,023,790,945,394,095,574,932,008,758,332,028,855,548,348,658,839,892,
129,110,057,062,082,404,551,272,973,305,784,777,108,936,790,747,314,806,985,
299,356,166,847,894,394,850,867,825,926,199,613,426,097,804,062,006,316,956,
983,240,944,526,113,619,974,461,084,698,277,432,181,714,737,105,023,110,946,
992,826,835,091,767,631,873,538,561,485,972,587,365,604,590,879,574,973,958,
421,767,537,184,225,985,362,228,927,721,986,927,593,193,678,265,513,354,290,
805,275,244,484,519,049,548,152,797,666,156,730,480,390,855,227,857,645,408,
704,904,143,706,218,164,114,148,053,013,131,248,595,046,001,215,857,349,816,
735,724,099,246,030,290,104,017,008,293,289,987,960,461,742,268,380,392,693,
452,809,465,328,270,164,970,019,707,053,867,352,599,738,225,098,698,173,885,
699,118,140,371,555,231,535,158,956,709,363,515,562,184,174,660,038,434,341,
995,050,214,469,872,233,650,671,581,257,343,483,160,911,580,282,781,420,014,
624,847,948,315,855,873,543,791,538,636,795,024,526,037,850,993,952,185,592,
957,665,660,274,385,133,570,004,411,568,824,984,227,029,928,501,937,047,362,
717,061,472,628,262,147,005,338,575,503,855,759,747,145,700,706,925,141,612,
871,688,272,264,693,921,689,105,530,515,306,251,332,045,176,249,305,858,020,
423,706,412,746,386,027,140,885,213,408,694,783,929,837,191,316,938,290,520,
571,653,531,728,450,002,394,590,968,961,274,970,237,051,969,364,321,062,831,
183,132,255,730,904,889,340,671,540,555,483,946,007,518,973,497,600,746,253,
254,410,563,467,920,276,967,844,891,041,201,376,540,624,567,162,943,062,072,
807,074,544,397,346,905,283,597,998,970,744,143,076,042,410,534,751,733,868,
213,080,652,357,459,303,319,816,065,862,926,667,389,657,377,583,714,953,211,
171,173,828,921,776,497,561,134,247,299,324,616,876,862,229,758,396,006,904,
078,996,801,380,816,970,170,005,184,262,940,476,361,904,821,646,353,672,571,
278,621,356,490,285,493,584,554,242,816,793,522,894,407,307,531,998,100,439,
010,057,168,891,027,871,348,956,485,972,829,078,351,852,593,529,796,213,971,
827,202,724,968,540,534,037,576,378,500,012,913,045,044,628,138,290,836,473,
494,831,348,594,270,132,538,888,410,795,545,897,808,435,972,297,151,184,455,
528,893,028,282,212,498,926,541,804,392,057,701,634,022,536,548,670,617,640,
545,191,578,758,344,723,211,023,009,883,471,484,928,583,538,494,690,033,499,
239,627,490,919,656,105,772,620,744,380,276,349,883,831,280,393,244,356,396,
802,641,806,715,636,115,347,129,598,794,068,435,597,599,126,115,082,201,193,
932,491,277,754,868,484,345,143,807,397,632,777,305,014,545,782,628,194,577,
678,525,147,241,206,573,677,583,534,000,868,095,918,555,078,469,709,188,601,
702,200,644,648,146,188,953,027,589,825,972,574,180,897,703,247,343,121,062,
181,228,882,531,958,266,468,656,705,381,097,624,829,954,805,916,511,997,685,
770,861,666,477,374,484,674,568,862,202,409,896,435,609,279,494,223,900,368,
670,361,115,361,798,954,086,324,782,917,941,236,486,146,574,480,963,783,817,
010,639,866,442,209,977,975,966,533,507,746,460,592,705,454,584,629,531,594,
281,752,218,469,255,480,694,190,333,676,589,365,553,729,083,839,562,770,141,
290,849,778,545,607,294,524,914,343,220,049,250,211,116,866,574,153,346,717,
587,573,938,667,877,127,143,270,656,538,959,308,045,392,478,439,524,615,995,
833,744,432,300,523,997,285,029,321,213,509,626,783,829,905,662,958,145,808,
077,606,277,571,973,805,682,516,413,916,756,796,962,240,946,792,813,539,765,
463,664,535,350,305,146,287,212,026,670,606,614,086,154,993,757,709,834,633,
807,090,583,148,721,018,577,588,437,316,964,654,383,600,756,730,699,253,056,
707,265,357,447,360,109,582,179,477,030,683,391,690,482,917,468,427,395,867,
242,558,259,437,989,637,245,286,695,626,378,930,782,815,273,656,147,845,506,
968,174,677,672,135,102,500,452,058,747,190,221,096,918,156,449,066,439,645,
534,541,579,380,154,366,105,428,876,144,012,578,764,599,357,999,938,187,465,
189,989,829,245,792,198,892,633,699,559,716,793,929,347,790,289,654,491,449,
719,460,843,570,863,267,771,845,349,028,259,996,763,387,240,423,019,047,726,
308,262,598,743,684,605,616,490,564,234,706,668,936,327,724,254,799,466,486,
817,510,391,928,832,394,567,380,046,504,256,765,385,466,708,321,325,667,278,
861,473,039,890,858,852,237,419,303,292,173,341,218,512,054,105,843,935,279,
004,753,117,037,664,879,544,710,503,440,846,532,634,164,763,585,419,875,758,
607,868,281,569,520,843,906,135,785,364,338,804,195,306,373,581,171,356,608,
910,922,217,024,653,249,673,892,746,509,821,054,336,860,293,936,498,842,988,
638,471,718,314,727,455,965,463,578,441,592,558,237,592,729,838,031,892,871,
804,762,118,845,413,542,989,543,697,720,280,136,781,197,944,111,327,144,710,
750,040,048,780,674,791,554,950,560,458,769,395,826,241,910,349,165,157,494,
258,762,045,214,979,257,433,988,640,051,066,409,871,607,732,708,885,822,238,
388,920,691,914,564,515,423,413,553,865,064,159,606,520,716,834,101,954,057,
078,134,859,636,437,021,485,597,869,042,200,281,754,807,739,832,407,452,287,
466,091,709,496,813,754,299,274,826,564,226,073,564,251,337,530,335,470,959,
502,722,363,668,850,115,634,803,301,063,538,877,560,341,683,484,670,218,537,
398,771,198,797,828,700,392,678,765,846,000,006,252,992,634,035,019,943,858,
072,798,254,330,500,061,053,897,957,774,141,639,248,914,100,034,019,436,963,
939,769,120,832,315,240,180,444,446,552,077,102,830,551,216,757,320,223,853,
530,974,053,026,536,258,108,299,949,189,061,756,069,450,118,121,297,748,070,
208,362,705,915,204,819,600,323,557,400,790,740,567,495,813,004,671,585,434,
944,079,054,502,748,603,204,338,842,422,915,480,869,542,421,124,044,984,662,
664,984,512,744,404,942,398,238,962,544,558,067,515,271,779,656,441,535,862,
310,838,605,759,557,252,783,639,991,426,679,001,429,792,772,731,133,934,573,
264,070,124,965,886,341,144,559,699,610,997,989,087,162,700,413,808,106,067,
129,217,364,561,444,373,316,532,125,504,942,735,553,908,588,186,665,211,671,
434,280,724,736,220,609,901,477,160,609,847,460,737,293,502,381,411,008,218,
509,394,258,720,831,905,465,329,740,146,899,204,277,298,835,422,995,269,757,
178,455,351,060,462,993,481,748,396,317,725,971,918,513,157,381,991,287,290,
748,661,264,580,956,259,255,477,795,395,042,927,610,479,833,864,935,196,671,
319,705,427,682,853,788,731,617,698,303,667,021,319,442,197,290,726,434,329,
439,466,561,897,831,721,988,481,556,396,892,500,233,172,882,836,508,116,930,
612,103,701,630,879,409,573,793,701,828,878,863,304,075,827,116,557,997,825,
791,714,146,892,681,618,222,248,411,344,764,466,855,792,308,884,404,578,322,
573,348,169,379,881,015,035,480,817,809,719,140,877,969,789,700,138,958,020,
365,802,645,212,911,033,596,100,106,598,293,216,737,398,642,575,348,504,596,
481,149,492,805,798,507,056,269,520,064,285,865,493,253,402,742,495,840,005,
685,811,834,347,751,733,103,659,861,264,555,485,753,130,154,946,680,341,905,
133,028,300,463,145,508,615,845,055,448,325,936,768,280,116,023,143,659,385,
117,821,288,142,777,100,403,496,555,892,242,331,778,899,755,571,854,731,754,
483,843,549,188,288,934,222,034,939,281,229,190,403,103,637,990,264,769,214,
304,660,955,875,904,853,423,052,806,695,618,398,084,620,089,108,558,665,388,
763,848,303,588,253,003,489,551,850,316,592,485,062,532,107,217,900,396,422,
284,250,047,354,009,819,952,974,025,623,925,141,146,648,239,409,740,647,195,
010,125,440,288,306,843,150,952,308,791,625,242,555,971,527,052,820,253,898,
560,024,803,992,364,683,085,822,351,021,991,723,976,193,239,139,524,484,172,
853,924,171,730,337,013,772,828,942,375,891,271,832,254,174,365,351,231,459,
981,534,394,199,119,497,522,079,662,291,287,188,980,076,487,594,974,901,327,
325,557,114,150,826,330,638,514,507,355,259,465,073,891,408,801,953,822,434,
756,856,927,247,455,770,267,466,857,485,122,798,134,370,941,974,136,352,401,
092,231,201,940,706,849,446,310,732,134,659,778,475,345,112,101,938,524,383,
974,930,136,699,420,694,149,470,509,601,458,775,727,788,368,022,688,068,333,
163,010,368,660,490,274,703,446,051,427,710,696,050,963,510,731,263,712,607,
623,933,167,113,672,597,967,284,770,569,709,797,292,804,226,770,220,725,488,
729,586,435,550,927,534,779,471,870,918,427,035,407,878,181,318,803,452,798,
234,011,767,433,311,273,753,831,593,520,357,918,216,590,060,852,973,343,477,
530,913,785,291,965,935,959,048,532,191,488,756,874,648,105,853,587,899,846,
360,544,177,193,722,892,582,386,945,536,773,438,517,746,456,258,989,429,129,
980,105,592,215,868,144,903,594,909,960,330,555,121,344,769,076,659,577,987,
015,289,425,253,197,193,321,419,955,062,794,375,600,871,927,085,904,074,271,
092,159,111,837,150,425,137,388,062,931,511,816,747,284,658,916,126,514,334,
421,013,054,906,804,768,606,567,017,559,694,666,184,341,096,610,415,438,357,
707,079,822,261,167,634,541,046,800,610,294,751,960,546,625,001,275,125,086,
814,363,750,687,516,402,396,823,884,538,966,995,522,264,932,645,161,068,346,
783,280,409,200,773,754,724,627,432,808,650,064,384,171,441,253,029,856,198,
846,095,319,734,981,111,896,420,516,726,184,352,397,795,153,822,003,808,288,
954,572,088,025,764,192,976,969,532,099,585,296,829,013,579,810,297,717,067,
654,937,932,652,785,169,357,737,142,837,903,554,012,201,405,690,946,520,295,
655,561,658,509,835,138,091,639,544,438,358,961,023,180,855,174,394,090,758,
193,510,838,307,300,486,932,059,985,172,017,129,158,667,878,001,159,229,817,
542,300,265,257,995,696,135,544,643,988,977,344,378,285,371,905,867,916,762,
434,746,967,741,840,272,608,502,585,699,233,954,692,728,323,888,620,729,006,
947,737,542,068,431,130,998,727,500,487,594,838,931,517,370,362,149,133,217,
840,110,807,575,444,047,122,338,815,941,920,060,877,524,409,212,831,852,011,
652,376,915,405,724,662,067,989,977,452,423,595,602,075,951,810,335,311,382,
043,896,830,271,113,430,499,485,487,149,488,040,436,667,420,642,812,358,338,
361,442,610,310,264,094,862,735,815,566,235,767,837,811,957,708,475,749,615,
455,896,368,197,435,078,318,197,467,753,742,992,926,117,096,359,640,071,104,
698,177,829,483,652,332,673,705,199,999,520,101,778,044,198,095,859,735,788,
191,868,228,394,312,406,742,816,581,505,019,510,977,723,252,993,089,776,396,
650,133,168,070,559,543,226,291,380,950,329,960,220,797,976,803,542,644,884,
636,682,974,033,577,571,489,824,180,122,254,783,877,537,371,036,158,408,244,
023,831,642,963,501,274,552,138,150,810,996,842,587,197,514,737,748,388,221,
589,597,889,666,040,171,217,508,699,324,903,867,497,937,004,437,616,220,270,
253,137,328,015,953,182,205,326,552,422,224,273,084,013,769,347,090,249,861,
536,543,718,551,910,789,991,927,396,637,350,239,891,587,289,603,406,287,493,
219,599,833,503,787,075,644,996,961,379,191,626,167,766,653,434,513,301,528,
862,179,902,953,632,408,434,524,329,002,365,154,547,909,910,922,057,968,691,
459,204,297,589,965,052,382,569,444,373,354,891,194,429,135,647,854,244,824,
973,918,956,451,949,845,034,827,382,884,200,137,056,855,605,634,008,699,670,
264,363,617,255,802,204,541,054,150,648,386,121,588,189,195,979,830,927,689,
095,166,818,926,230,634,826,521,941,525,954,892,437,022,917,541,338,914,007,
469,838,450,211,506,242,194,871,038,185,632,051,102,534,860,351,639,897,214,
253,056,775,318,580,393,263,678,527,570,031,868,328,490,718,955,006,859,833,
869,434,356,075,056,261,882,867,997,738,080,997,003,009,077,590,815,373,399,
942,191,482,379,630,982,681,980,816,127,824,436,694,553,875,475,056,986,319,
532,509,683,987,684,137,145,602,671,306,388,098,039,748,172,980,381,415,096,
408,338,515,242,305,139,985,767,083,805,192,009,887,675,865,977,373,016,640,
094,785,146,918,968,440,030,480,220,629,062,708,108,342,996,072,714,874,118,
226,551,716,580,127,952,554,908,005,554,050,123,045,309,265,397,949,301,014,
171,792,011,712,877,938,671,716,917,957,394,119,783,864,748,290,974,880,825,
650,999,978,505,221,695,150,770,574,704,843,448,362,289,999,063,532,557,288,
631,829,424,708,606,114,521,671,117,512,514,090,151,311,139,680,583,356,699,
100,870,581,447,510,865,718,114,383,916,617,792,543,360,712,903,688,944,981,
099,998,569,711,186,582,639,096,577,984,215,138,197,063,045,399,228,184,883,
135,804,587,519,967,776,255,912,900,975,144,797,775,126,121,796,777,476,010,
965,473,596,293,607,709,072,347,656,416,652,829,997,033,696,677,483,852,206,
494,816,846,988,831,467,963,203,978,249,967,967,118,691,674,262,018,627,119,
770,655,330,775,399,762,711,593,381,435,096,748,014,054,178,123,412,342,302,
260,111,876,272,991,641,715,324,336,254,597,774,258,483,013,518,265,227,232,
120,865,127,644,036,458,557,484,330,800,494,815,094,550,239,978,285,598,403,
115,277,857,388,202,966,631,477,958,548,301,673,164,613,226,496,943,134,981,
716,716,021,025,627,666,645,918,900,704,999,073,013,843,946,123,937,743,169,
057,030,283,454,754,912,497,131,893,460,517,678,732,738,044,325,961,260,060,
709,654,879,540,460,946,969,671,218,156,110,777,205,854,132,941,780,393,285,
748,370,516,638,573,236,682,676,225,396,160,955,539,101,177,199,875,922,091,
359,337,604,692,723,355,699,330,653,896,619,723,990,176,869,165,351,516,919,
385,558,103,152,194,231,642,890,733,049,428,988,685,809,509,936,299,841,379,
732,055,459,024,407,853,786,485,421,997,749,535,530,451,225,929,127,161,938,
624,702,823,673,869,399,479,118,890,806,417,843,385,133,977,310,555,994,642,
011,592,421,756,122,708,833,624,848,337,408,066,988,798,298,144,751,257,611,
958,090,058,687,522,908,710,637,920,667,900,970,613,687,974,423,808,143,781,
175,629,932,960,570,193,474,880,659,678,140,142,664,119,518,328,131,829,462,
693,744,813,372,407,417,245,132,195,661,601,817,267,658,408,459,477,245,584,
752,288,890,986,409,361,079,848,560,771,392,970,626,932,693,721,837,849,131,
711,481,797,697,340,034,759,923,275,786,534,268,414,626,149,028,808,553,042,
881,648,117,305,186,572,643,187,832,235,980,135,698,817,596,232,879,449,879,
695,665,466,588,624,264,082,426,489,569,337,580,934,475,786,672,165,396,580,
833,167,402,403,320,482,966,333,074,795,857,601,496,659,703,184,925,023,053,
128,507,919,279,369,011,325,096,131,031,026,890,475,651,956,537,338,119,965,
371,377,563,756,786,964,652,682,519,329,603,982,303,878,943,971,985,288,491,
292,477,790,912,463,679,607,628,513,542,021,396,828,742,137,048,102,180,684,
719,110,169,339,285,597,987,319,421,973,263,098,099,382,341,562,932,203,846,
321,295,317,090,845,467,908,710,678,431,271,260,532,087,245,442,845,222,230,
015,979,724,187,009,284,523,813,132,513,157,392,980,984,901,335,363,511,440,
761,953,858,800,291,709,594,734,797,157,270,989,551,288,515,370,043,910,717,
775,099,809,771,871,604,710,259,829,550,883,678,106,676,886,946,852,026,882,
480,541,023,160,295,625,638,098,606,972,065,282,764,015,591,305,669,029,112,
381,827,207,708,190,121,616,956,765,457,758,262,689,141,475,612,949,271,543,
537,002,422,172,050,410,207,205,790,401,881,864,520,482,982,494,155,769,196,
034,383,602,845,936,597,445,816,805,266,247,217,867,274,917,149,606,561,162,
732,877,755,710,365,176,878,993,600,443,063,277,617,352,386,928,529,528,289,
777,836,414,747,183,802,187,948,241,676,194,679,841,013,932,517,780,025,117,
325,609,757,555,629,080,119,813,380,001,706,264,668,135,921,272,554,252,654,
745,819,644,534,094,660,982,278,896,404,129,730,234,792,902,010,230,393,903,
296,460,845,278,106,394,826,741,093,869,612,185,391,743,946,917,785,337,169,
729,114,273,432,624,596,087,370,326,154,795,891,485,043,654,784,142,791,088,
123,970,599,200,090,543,871,154,866,424,133,351,409,789,791,933,243,923,587,
189,779,393,015,486,907,112,483,463,312,002,500,997,502,873,795,923,256,553,
995,685,552,984,489,770,212,529,054,116,178,205,311,243,476,509,721,710,821,
539,770,074,479,489,579,329,423,659,324,444,558,930,913,874,415,915,495,422,
526,537,547,311,274,721,532,883,575,170,292,168,109,783,733,317,163,599,681,
765,234,921,711,518,135,070,611,356,180,569,776,616,172,886,825,353,232,358,
247,822,195,470,878,332,112,461,723,396,150,892,589,254,411,040,032,224,888,
980,140,002,146,044,876,211,557,553,948,288,619,997,525,417,283,583,694,613,
419,846,435,211,040,790,483,817,726,552,789,800,170,070,107,005,658,447,682,
046,197,318,471,733,307,565,527,248,421,423,596,053,046,781,858,281,136,217,
988,505,841,196,668,863,058,161,012,788,582,448,171,465,558,665,298,511,390,
755,818,316,692,508,089,269,078,171,613,407,242,225,956,143,611,074,459,290,
491,583,646,461,830,328,676,027,491,703,700,489,821,891,773,059,343,116,883,
094,177,870,344,254,262,996,714,484,866,606,090,232,366,636,734,401,959,384,
463,491,140,083,442,997,556,693,203,410,156,699,383,465,613,560,087,182,724,
186,946,258,339,415,728,334,686,543,619,905,921,327,203,371,347,629,413,234,
313,697,738,456,593,183,094,728,730,508,737,441,574,363,470,096,344,641,517,
809,601,182,764,695,570,325,115,289,609,456,370,023,286,468,878,744,027,019,
646,216,052,991,666,527,555,104,152,971,948,329,905,645,093,597,411,669,618,
107,190,028,787,570,967,045,956,549,867,989,904,654,349,513,701,353,215,836,
802,701,926,809,182,180,447,447,267,890,842,971,050,848,090,798,980,046,455,
806,290,212,729,804,816,289,005,485,897,457,125,651,985,099,651,985,290,435,
887,485,084,513,361,870,488,740,055,556,488,124,320,678,957,170,905,797,765,
320,393,139,873,541,756,572,356,808,560,497,709,105,841,003,712,796,106,085,
200,897,991,009,343,615,692,674,151,917,316,504,616,251,947,033,506,817,217,
373,236,303,682,048,514,688,679,779,320,126,530,592,731,147,042,460,848,756,
255,884,738,842,019,898,576,367,991,251,658,623,280,596,911,516,667,593,258,
709,894,492,702,274,200,434,364,859,564,028,314,865,566,126,489,629,518,132,
625,295,658,675,172,134,393,768,339,488,993,032,555,339,773,760,264,265,703,
414,915,856,703,979,330,952,662,302,657,012,090,472,305,218,661,735,145,708,
112,213,065,773,205,741,560,749,231,759,744,043,761,343,756,603,710,340,549,
250,423,726,162,324,848,033,108,720,277,895,692,990,922,789,276,789,234,474,
335,735,173,144,395,244,445,457,991,296,991,321,365,788,365,003,157,985,810,
315,061,174,278,325,051,541,454,053,924,905,456,795,504,386,047,908,401,097,
563,366,182,824,775,069,009,831,548,793,022,804,916,648,545,632,806,392,337,
202,616,047,808,478,166,611,164,634,407,937,768,504,061,391,018,693,494,530,
178,193,832,538,708,707,950,644,898,581,177,010,117,583,025,229,818,402,553,
550,836,056,368,983,568,361,660,474,922,241,290,647,666,055,649,614,727,534,
039,723,167,613,211,435,574,391,882,518,141,982,459,145,052,495,044,861,578,
637,803,357,583,830,126,533,887,855,701,587,763,448,250,007,424,855,470,979,
378,648,249,514,125,260,305,206,682,003,287,600,618,500,132,685,908,449,533,
683,534,362,866,816,729,983,385,787,820,558,508,817,655,898,399,421,580,999,
082,810,374,626,586,750,237,047,759,040,666,413,466,935,375,584,986,537,536,
454,613,246,594,638,716,386,474,840,670,929,945,759,048,502,257,777,205,892,
906,689,051,031,965,075,255,319,932,446,076,850,363,985,893,430,084,346,349,
643,795,174,794,291,205,574,857,003,472,782,421,620,871,629,741,204,530,406,
912,109,473,726,643,451,986,303,865,516,338,555,884,062,581,041,544,921,780,
916,690,073,572,271,727,811,822,538,415,824,152,163,803,958,097,639,549,461,
125,710,774,291,816,021,718,917,204,262,649,051,681,397,617,578,260,920,664,
122,677,130,090,642,729,038,126,736,250,649,875,331,754,236,801,783,979,005,
889,205,331,685,812,262,937,477,601,519,696,715,786,224,360,890,861,435,252,
594,199,012,696,785,208,738,870,631,676,118,669,036,002,801,848,533,024,324,
351,767,818,849,957,464,894,816,011,474,346,998,105,712,556,024,702,726,002,
265,989,046,587,675,262,321,150,795,387,867,506,666,012,577,879,054,746,869,
183,461,465,837,016,722,686,791,226,055,659,843,124,579,368,122,036,383,154,
999,890,241,516,109,456,977,622,003,633,425,608,563,268,522,242,771,700,403,
391,173,866,969,672,047,927,865,030,368,546,230,432,960,374,707,940,107,023,
866,285,166,571,380,939,655,176,885,329,984,971,656,389,321,333,929,405,688,
886,409,900,204,558,610,829,943,354,131,171,569,727,142,801,937,403,446,001,
738,237,366,011,090,424,407,212,733,537,175,892,160,353,287,882,990,257,773,
824,322,746,728,589,042,754,599,596,126,519,354,878,413,773,857,609,657,291,
276,526,764,377,759,210,594,961,518,234,605,385,422,934,105,332,733,068,528,
280,629,922,071,930,480,060,833,420,587,959,614,780,790,563,187,233,046,604,
208,918,219,533,265,188,329,406,696,825,482,838,911,651,759,424,419,621,288,
897,818,522,450,095,838,480,429,088,480,113,412,327,070,483,161,473,630,500,
252,545,528,194,828,990,724,503,664,737,137,358,832,496,537,174,224,774,580,
071,679,578,981,478,726,793,971,577,002,248,435,004,843,125,818,934,639,491,
398,732,955,853,452,668,326,112,678,808,679,746,112,757,522,361,867,973,043,
208,535,093,378,424,283,324,453,835,726,019,763,428,241,212,493,973,520,386,
232,464,462,724,968,045,676,261,252,884,541,888,096,362,910,866,878,674,444,
036,823,232,412,558,880,680,197,968,673,671,138,041,385,597,271,725,659,598,
543,205,223,971,776,265,281,600,281,038,527,105,189,589,725,873,541,397,677,
668,720,733,467,576,594,801,220,153,640,851,788,002,202,770,006,820,265,011,
625,898,195,182,356,409,035,266,252,970,240,247,386,147,898,346,748,052,066,
693,760,343,997,107,002,913,063,316,141,849,198,268,071,662,389,453,378,014,
450,196,055,985,955,902,686,020,465,311,411,419,122,373,938,928,916,616,433,
720,935,215,116,730,943,488,626,632,250,186,546,956,308,783,200,094,819,274,
890,951,727,672,466,387,294,353,798,814,454,414,918,365,370,578,778,773,926,
475,924,891,287,263,396,941,503,074,820,699,106,768,816,481,355,485,047,127,
171,678,025,484,403,896,099,703,837,113,581,830,231,455,727,246,618,079,124,
095,418,594,868,295,679,961,684,310,254,422,520,934,430,519,688,409,544,837,
607,124,890,481,736,614,128,922,685,902,744,151,420,544,022,991,980,063,975,
828,985,577,220,662,664,918,652,227,139,364,427,677,755,416,262,953,951,658,
186,442,169,640,754,512,642,493,751,731,933,665,411,445,157,999,004,138,748,
082,948,154,108,029,965,515,902,054,818,326,886,050,765,694,239,221,861,840,
860,896,006,349,462,721,196,885,515,445,467,770,884,768,177,719,384,184,062,
556,563,718,919,446,294,005,048,332,327,820,935,751,984,082,735,636,589,897,
621,756,348,414,052,505,190,984,394,860,280,054,498,315,920,230,568,304,599,
965,932,156,701,200,177,707,181,061,747,843,385,614,084,987,718,011,448,635,
360,808,897,924,273,985,834,276,325,396,124,033,295,987,231,692,742,840,552,
078,889,998,695,449,593,577,880,836,164,410,721,067,738,219,517,583,637,797,
713,711,142,627,734,320,938,883,659,991,879,671,908,322,537,610,880,871,426,
354,714,002,841,962,128,977,370,720,401,129,603,104,851,417,499,287,796,607,
750,249,220,946,219,058,654,195,733,799,989,016,520,340,252,185,346,111,125,
872,408,541,353,407,433,157,761,821,805,228,786,973,479,051,987,412,958,857,
889,706,146,110,778,988,139,754,403,992,684,505,392,453,372,035,999,613,729,
164,093,536,911,337,774,913,463,018,727,544,744,763,128,431,986,406,009,154,
468,616,243,542,213,189,108,259,055,866,457,318,975,699,928,578,378,659,384,
045,405,621,718,304,448,876,707,267,720,105,207,675,620,487,815,300,679,533,
910,030,228,467,382,400,290,458,142,921,662,903,683,195,895,563,177,455,148,
658,637,494,164,533,841,397,091,266,657,757,349,996,156,636,142,923,913,157,
793,539,187,446,652,362,859,289,798,976,272,033,851,148,530,342,482,741,841,
332,388,626,222,437,023,522,977,398,175,718,840,911,206,382,145,499,146,702,
784,369,832,479,249,090,601,917,008,940,267,395,861,556,077,821,559,332,445,
000,055,278,074,491,037,670,118,953,744,627,825,464,629,545,869,333,330,253,
584,127,653,837,139,866,910,525,391,138,730,937,774,779,210,362,041,915,607,
141,251,004,166,609,956,921,349,150,653,177,750,680,687,055,407,182,055,669,
187,866,917,461,051,441,747,825,857,780,835,694,612,871,900,676,951,828,827,
246,028,759,312,900,902,494,914,474,500,039,189,045,947,121,055,627,064,940,
098,604,710,601,314,927,683,960,538,641,715,045,305,756,502,002,176,455,866,
102,590,784,724,507,569,104,131,374,768,028,818,483,852,996,035,126,739,209,
560,119,102,141,720,116,961,512,139,592,568,259,150,517,431,184,422,047,626,
905,833,062,800,150,015,203,514,108,577,971,828,688,130,449,275,787,326,735,
275,910,271,717,205,043,866,819,499,613,417,795,825,328,306,836,978,971,169,
385,628,445,858,062,281,649,462,786,573,079,544,267,106,976,578,987,289,222,
908,728,134,485,033,423,259,589,791,756,569,994,722,786,825,349,345,810,529,
324,573,544,142,608,486,762,514,977,392,448,577,648,643,479,268,514,553,855,
115,740,492,182,068,054,515,674,123,039,689,970,247,568,353,684,041,860,823,
472,576,745,542,709,835,580,587,006,353,537,528,351,054,031,737,227,126,165,
557,251,576,519,724,210,580,269,513,218,723,873,133,703,130,423,599,507,343,
625,073,927,430,398,897,334,255,480,077,704,785,956,003,385,625,567,007,965,
567,357,576,820,464,580,119,881,674,519,746,942,549,864,686,274,800,736,900,
190,605,476,196,249,574,362,211,004,439,822,954,848,511,260,907,239,643,823,
629,713,701,683,013,805,611,675,105,067,519,655,516,282,016,335,980,514,538,
217,752,297,742,611,970,510,389,734,820,222,433,983,102,996,379,684,828,587,
575,449,306,620,021,522,683,648,026,900,213,880,857,459,131,678,664,582,464,
805,971,148,474,244,231,501,546,722,919,746,200,693,835,837,113,560,628,517,
990,093,399,750,639,905,764,521,763,858,871,990,012,416,251,966,397,887,489,
316,802,440,031,116,659,571,374,872,366,148,565,832,146,529,848,087,681,926,
344,267,331,610,525,146,113,575,847,089,413,478,518,852,447,299,955,822,525,
206,803,718,346,439,242,010,049,155,739,018,152,104,987,859,439,566,824,018,
117,466,529,626,066,594,264,541,317,694,628,877,522,436,933,235,532,895,308,
278,840,788,036,525,904,247,882,363,322,332,324,458,302,213,325,194,854,409,
360,994,830,846,447,567,744,997,116,197,501,994,049,889,982,969,462,443,525,
449,320,167,430,591,694,740,561,222,037,286,607,362,500,876,410,509,822,249,
006,166,469,165,300,653,763,877,866,777,724,063,241,953,675,594,380,250,252,
442,437,258,463,482,440,214,958,167,703,752,768,124,632,145,044,509,382,813,
581,280,119,056,230,050,944,492,139,886,755,117,956,127,939,327,996,673,351,
318,133,781,401,893,597,597,762,442,940,454,717,347,527,992,374,935,946,948,
092,336,434,328,002,143,641,001,465,850,688,066,762,589,604,489,273,427,658,
809,143,208,136,022,086,273,517,898,329,776,488,087,785,708,032,625,162,468,
679,406,694,008,485,215,712,930,998,575,736,444,826,834,660,131,626,122,778,
014,975,875,486,689,455,457,275,232,754,097,268,694,138,912,107,613,980,194,
278,499,801,406,869,472,192,141,626,336,788,584,641,013,608,037,928,382,243,
246,468,838,345,457,190,972,624,773,196,422,585,057,417,141,058,666,981,809,
979,814,771,271,460,726,323,482,640,159,132,651,443,814,057,359,088,549,385,
878,753,130,325,603,106,625,647,420,965,695,988,269,930,346,778,283,405,119,
055,022,494,871,372,092,911,931,073,000,613,361,300,599,137,031,888,067,594,
204,841,399,511,002,925,005,484,326,032,287,669,488,865,331,309,789,096,409,
067,501,202,124,075,717,519,364,696,066,956,019,158,117,888,461,349,156,049,
002,397,379,006,544,436,057,764,824,028,789,179,276,991,297,474,634,602,739,
419,671,748,744,006,729,784,676,447,192,210,071,371,635,780,436,125,423,507,
305,529,954,821,034,270,988,807,233,933,988,100,804,491,163,848,650,607,776,
644,463,626,615,284,575,346,547,639,056,670,332,131,711,490,184,488,907,812,
576,159,558,720,426,291,069,301,959,349,325,437,855,651,778,582,898,367,743,
211,544,406,214,781,205,318,046,562,999,522,873,515,887,550,429,579,010,357,
818,203,376,768,807,163,122,643,290,321,068,495,041,407,005,265,381,660,004,
374,984,340,100,134,024,093,572,807,382,401,087,026,625,229,216,826,018,446,
686,331,090,077,014,447,621,591,081,810,382,974,890,829,371,728,124,810,123,
215,486,372,411,363,814,061,939,074,958,039,372,739,340,397,614,547,592,676,
167,005,363,481,191,872,815,216,449,064,739,976,606,957,135,005,150,022,904,
415,071,566,521,795,927,463,185,026,164,546,296,016,889,293,405,435,915,085,
846,115,773,980,989,322,400,902,298,716,350,202,274,178,365,036,119,609,104,
839,250,733,627,470,096,435,207,144,597,103,441,739,057,538,952,352,724,765,
126,344,657,365,473,325,058,326,574,271,556,741,982,636,511,142,784,819,584,
007,302,545,100,667,150,984,975,666,741,052,999,766,371,670,205,388,559,516,
774,121,432,370,716,691,148,523,278,180,714,211,144,360,244,177,826,690,143,
230,171,186,214,707,230,233,128,346,439,635,512,781,544,212,879,628,951,210,
450,646,497,908,824,529,899,404,078,467,876,240,726,542,113,742,808,584,939,
168,080,632,426,864,408,654,661,375,011,297,578,002,184,562,176,452,756,755,
601,915,009,463,713,705,086,482,252,023,514,179,585,697,533,422,717,838,742,
148,868,849,430,141,724,564,611,477,889,947,651,468,434,252,056,800,199,034,
387,429,125,129,580,041,764,937,111,384,556,777,972,913,616,650,732,811,563,
501,838,622,966,465,664,872,742,006,696,780,877,633,857,905,044,539,970,528,
421,860,285,617,300,300,818,538,787,567,532,644,772,373,970,677,714,709,246,
270,379,712,158,581,240,020,623,279,353,292,060,939,635,645,365,466,495,664,
569,184,603,941,577,055,814,106,476,926,154,764,232,408,118,703,443,155,549,
975,414,750,642,863,074,611,411,259,734,917,115,294,841,964,109,986,102,657,
766,497,154,222,206,054,810,401,021,858,673,432,459,273,022,837,124,070,363,
061,264,808,983,513,826,073,122,569,382,382,322,063,946,290,819,438,042,052,
511,201,446,172,385,184,101,453,774,141,616,486,457,898,130,177,868,362,931,
132,807,017,026,965,224,385,339,709,358,902,847,550,217,845,641,797,271,740,
243,824,280,162,397,135,230,199,972,877,737,846,733,422,526,320,271,469,072,
734,258,042,550,106,246,640,777,827,205,915,891,017,624,769,463,531,382,924,
431,134,565,539,851,919,168,857,111,784,548,865,094,310,141,501,212,039,356,
633,604,458,299,054,835,590,740,609,055,677,213,907,196,745,378,677,303,352,
418,633,201,213,130,611,747,148,935,245,760,414,165,781,791,029,535,578,690,
423,462,588,650,150,592,670,817,337,049,653,516,607,805,661,771,512,939,085,
672,368,518,213,684,378,826,480,295,311,717,654,771,313,176,200,386,565,772,
666,642,259,765,121,053,612,458,407,337,940,428,352,712,727,616,517,186,516,
846,360,057,369,667,073,245,785,036,927,561,478,991,072,304,798,567,037,493,
175,710,643,258,130,681,674,964,583,626,416,062,162,057,157,238,514,787,319,
714,282,815,762,748,940,474,750,040,150,486,042,860,214,717,308,872,849,764,
417,856,851,770,609,450,741,293,049,897,971,655,599,516,050,685,590,344,224,
303,258,218,834,837,724,586,370,348,574,895,727,442,099,174,279,909,765,614,
109,530,631,915,202,829,168,834,318,834,485,603,201,300,192,424,763,129,550,
870,875,288,491,353,107,976,017,948,648,255,170,846,318,757,187,703,692,825,
301,236,323,190,323,884,501,388,272,834,164,869,881,977,330,222,917,248,365,
944,384,198,859,933,843,948,940,337,841,122,848,773,624,615,284,689,572,590,
422,167,928,447,229,829,947,924,867,018,865,861,236,371,719,206,952,937,268,
256,619,444,657,133,197,321,239,264,237,953,921,298,950,503,109,254,768,591,
723,488,703,799,304,541,876,591,676,612,833,591,238,136,909,995,981,921,298,
623,559,023,856,469,116,927,399,497,728,573,206,145,692,031,581,263,511,352,
225,819,833,711,205,223,658,225,856,406,519,974,032,063,571,005,424,726,742,
670,434,328,261,890,757,798,219,420,440,054,216,086,988,935,783,692,820,922,
551,283,028,709,622,910,586,740,262,374,458,567,807,065,440,200,588,746,827,
013,605,693,190,823,237,813,115,542,080,837,369,434,737,378,491,142,825,648,
764,788,842,840,125,346,795,645,917,115,091,268,764,491,201,274,080,225,559,
374,657,632,603,984,734,920,888,734,739,360,517,167,721,028,596,873,435,312,
267,964,108,712,166,173,050,652,319,857,714,473,857,582,525,804,884,747,945,
620,177,094,486,811,553,401,342,738,772,792,734,706,350,188,403,205,173,918,
499,056,018,019,324,633,378,445,453,224,214,189,607,354,246,036,707,604,694,
843,646,112,212,746,661,241,162,522,346,066,034,773,943,170,580,170,367,088,
921,997,990,654,340,122,333,858,023,877,219,698,381,394,139,894,622,139,167,
253,211,467,338,020,109,892,389,315,918,348,540,375,014,166,645,568,857,055,
010,091,977,415,189,786,152,315,063,716,951,011,711,179,905,842,380,183,920,
473,843,705,248,098,896,357,348,892,471,632,916,611,269,599,571,706,929,423,
171,443,852,521,576,742,597,386,078,216,358,159,665,932,026,708,025,604,286,
097,483,043,861,217,053,875,075,072,681,397,969,402,995,705,618,186,904,984,
783,496,469,058,117,115,397,340,910,347,398,043,219,140,881,484,310,951,194,
188,951,177,070,147,505,966,550,594,353,134,369,059,315,921,763,455,262,726,
398,657,491,162,992,709,007,535,085,938,913,942,323,178,216,622,111,142,430,
773,804,874,458,486,392,705,058,909,479,987,117,956,232,018,048,638,633,898,
306,489,543,268,181,935,888,451,953,660,144,855,972,712,807,832,777,250,373,
659,003,541,095,960,666,122,813,918,587,932,993,329,576,508,632,456,295,854,
159,372,059,823,978,450,802,573,421,250,385,345,865,163,300,211,309,663,199,
553,302,281,896,264,055,521,083,249,464,471,565,872,774,201,159,758,418,437,
262,088,743,815,927,700,078,580,175,815,580,783,020,361,012,257,712,607,603,
424,212,063,552,694,387,051,158,259,244,193,107,097,875,956,672,755,047,884,
809,269,286,651,393,838,985,604,432,412,171,987,495,650,179,261,797,546,146,
523,784,038,064,244,639,495,039,551,215,022,459,573,993,079,673,648,683,210,
040,375,904,286,947,066,502,791,142,485,554,489,148,655,116,845,869,836,844,
365,739,186,998,033,686,775,687,458,602,964,804,898,215,265,811,613,939,260,
771,479,238,585,303,459,185,523,196,022,957,919,127,936,602,149,572,843,751,
325,883,359,588,499,249,216,672,255,563,045,368,948,233,664,789,020,977,404,
066,248,681,651,883,477,916,810,577,359,893,886,087,462,224,765,847,340,987,
777,815,128,205,868,581,937,894,179,160,551,262,091,869,647,834,530,981,331,
325,589,497,121,316,811,200,067,995,656,515,945,735,545,059,850,191,673,100,
887,838,981,158,965,442,187,002,123,915,897,102,939,448,236,011,136,824,678,
735,618,989,213,132,983,079,067,228,343,618,606,823,562,097,917,177,209,086,
420,793,855,824,067,180,887,172,927,288,852,215,877,500,941,922,478,109,589,
222,842,032,266,380,898,446,006,008,678,231,650,587,759,313,537,608,654,830,
595,435,695,299,948,759,453,223,733,187,274,038,800,759,057,195,730,169,569,
231,725,271,991,174,709,839,862,355,748,618,186,898,557,451,862,780,725,871,
575,692,966,362,135,008,447,471,363,249,936,730,917,890,774,652,408,041,025,
724,185,808,874,237,142,040,115,048,163,654,076,090,640,438,513,556,844,420,
811,145,859,271,541,523,788,102,106,797,959,465,291,456,465,877,564,918,492,
468,376,627,046,574,222,023,987,602,778,130,883,947,203,847,948,873,767,006,
999,453,109,292,076,836,777,146,952,868,093,735,506,929,148,486,807,875,851,
544,405,093,877,927,957,684,958,008,087,400,293,739,939,228,928,803,686,774,
307,337,102,467,822,226,947,834,404,092,613,290,876,038,601,259,635,939,753,
993,492,035,634,619,384,048,722,225,519,185,916,135,752,641,723,558,504,983,
982,048,457,508,507,296,584,315,856,886,163,274,010,064,325,891,400,971,049,
808,247,874,734,682,014,620,042,993,320,920,354,292,403,086,873,473,325,630,
745,642,527,701,978,051,006,225,784,032,380,217,243,412,610,336,287,844,746,
028,479,392,544,645,102,640,796,541,779,966,238,998,861,632,179,520,867,150,
549,396,233,734,472,094,477,788,263,879,697,400,510,954,900,198,762,340,962,
589,263,287,031,490,943,548,453,580,029,546,048,079,390,973,969,877,640,175,
922,161,589,445,315,553,553,834,633,389,483,088,182,441,365,598,511,945,818,
650,280,522,639,489,900,163,367,635,606,428,816,277,659,926,364,414,984,604,
406,258,486,747,734,537,082,694,027,137,601,591,128,157,559,368,713,981,061,
774,664,475,492,254,409,572,712,634,035,564,442,579,822,665,577,020,843,179,
822,833,325,148,592,286,592,075,912,905,637,072,804,391,112,987,522,987,729,
322,657,319,559,210,895,195,706,417,990,394,492,158,244,076,606,745,406,720,
136,337,585,192,867,108,603,918,558,310,285,907,854,666,879,472,150,604,736,
573,185,665,363,337,749,036,306,641,602,069,411,567,220,559,509,089,212,722,
317,959,720,511,138,114,471,045,318,834,070,640,518,364,971,490,467,289,722,
046,817,430,954,119,722,255,671,111,870,082,990,926,096,032,067,866,926,908,
213,561,691,009,555,211,806,957,651,699,854,951,106,624,870,075,489,066,617,
657,171,156,031,507,851,300,820,856,878,291,668,067,788,237,759,611,692,186,
973,995,441,340,287,285,377,577,280,653,929,697,084,122,950,616,428,972,091,
535,439,478,706,134,471,077,845,919,838,373,986,051,193,802,485,925,849,615,
129,712,979,983,762,674,413,997,350,653,113,011,296,458,301,164,752,929,366,
980,382,704,442,044,859,853,497,449,962,733,710,643,293,976,118,859,221,583,
508,129,502,306,923,114,878,605,629,645,252,825,125,313,798,003,165,281,130,
054,195,942,521,887,705,557,451,679,239,041,344,506,073,866,732,021,464,000,
168,485,162,173,059,117,184,786,275,519,637,673,089,573,369,401,334,559,488,
074,906,987,248,512,028,450,020,005,614,068,383,484,394,212,280,639,550,007,
642,396,625,228,932,578,880,321,065,334,552,839,251,845,439,155,334,774,557,
665,228,563,815,999,852,678,899,998,248,512,240,907,641,927,376,048,547,162,
343,204,151,595,749,521,963,971,501,153,592,301,617,608,362,439,418,849,243,
362,316,108,845,405,567,011,580,543,500,445,895,797,033,608,945,312,448,539,
810,478,745,465,315,727,180,945,384,430,775,854,625,145,462,426,236,686,161,
971,442,744,277,869,323,941,426,606,663,553,175,872,269,365,213,343,100,336,
070,989,932,383,795,627,768,021,272,350,481,195,641,472,814,343,589,920,341,
101,975,476,601,271,615,217,572,673,144,629,346,647,043,529,571,962,619,553,
482,731,875,184,457,089,395,585,145,206,620,178,588,225,233,363,265,858,250,
503,315,832,314,922,024,007,919,340,648,975,363,172,877,681,621,103,513,958,
729,587,792,209,820,520,946,174,101,611,966,503,801,897,193,933,240,361,252,
412,349,940,485,526,966,672,684,854,766,870,708,054,304,836,501,534,271,077,
137,330,991,462,283,003,005,335,512,648,015,322,414,362,345,902,860,189,965,
322,311,054,209,218,023,003,943,321,468,623,850,999,166,486,145,933,987,205,
329,296,796,916,986,326,269,175,792,618,131,371,060,903,223,293,907,845,276,
230,955,075,688,975,663,896,693,244,575,657,742,971,202,971,992,089,453,956,
620,078,451,648,532,818,743,976,347,789,529,688,209,348,530,061,432,645,570,
023,720,412,658,938,459,505,617,488,361,101,311,565,972,575,738,959,164,865,
373,322,357,889,969,057,202,249,566,776,132,707,403,733,398,493,212,207,674,
565,315,288,187,296,394,173,809,024,916,394,976,409,646,675,384,094,072,434,
864,219,635,094,513,045,133,796,138,575,810,676,004,656,423,676,055,893,451,
573,753,329,128,206,630,569,273,054,448,816,519,244,280,672,061,881,348,599,
320,776,528,296,148,284,924,841,597,614,936,791,263,832,910,758,094,119,121,
306,106,427,997,108,643,341,440,788,353,640,533,521,633,104,531,041,645,865,
688,277,704,965,467,165,486,691,630,995,899,656,432,312,639,075,208,258,734,
797,022,301,277,576,013,162,841,900,860,471,447,804,168,082,932,115,827,340,
279,039,647,766,401,639,364,871,962,866,997,641,860,048,426,740,621,066,512,
638,301,499,089,458,462,242,744,557,298,079,070,510,703,911,978,982,665,448,
599,320,480,808,432,874,755,508,766,583,602,716,118,565,221,452,063,174,323,
138,231,922,944,290,382,054,758,573,015,598,988,433,985,362,799,829,494,282,
705,298,802,442,557,633,256,353,466,640,776,635,007,530,993,525,365,571,617,
820,953,797,400,266,053,397,957,651,105,580,696,006,557,541,336,073,677,193,
896,475,995,363,189,640,145,206,420,662,380,054,980,506,058,455,157,749,263,
782,716,378,956,069,197,200,324,657,600,512,950,272,886,992,673,092,319,896,
671,047,055,235,602,178,492,517,437,451,921,039,511,245,041,387,156,657,030,
386,133,563,682,833,453,784,768,938,300,010,821,971,485,944,142,688,390,418,
355,065,896,119,042,428,806,748,859,850,838,836,727,724,589,407,288,974,759,
691,486,055,897,101,639,560,272,183,722,031,158,470,607,525,026,118,939,111,
379,869,550,182,009,299,902,062,757,702,592,713,356,063,059,335,763,738,196,
732,478,294,098,769,421,163,767,915,130,395,681,620,787,857,372,729,769,901,
432,373,692,043,112,659,589,428,150,264,033,842,637,611,881,150,627,118,975,
152,983,348,768,752,639,525,224,790,741,773,979,817,299,752,416,709,399,535,
283,581,322,249,657,413,835,286,838,054,370,161,296,429,080,279,915,767,987,
523,500,000,671,645,572,299,200,852,828,510,535,673,935,214,669,694,802,952,
240,899,510,977,684,706,879,405,127,035,630,142,267,546,085,717,822,563,214,
623,578,337,589,350,808,166,348,187,454,899,232,676,339,382,024,447,471,251,
139,462,681,019,919,004,311,630,484,522,387,945,569,865,170,940,110,955,902,
889,381,721,799,002,943,250,349,681,088,847,343,074,523,752,247,835,848,486,
976,926,960,688,443,246,773,324,882,458,703,697,734,328,825,482,563,501,387,
475,096,127,738,453,295,003,855,919,812,098,072,390,643,779,640,131,699,035,
246,252,539,927,982,648,300,269,948,700,800,563,988,346,270,536,829,312,267,
498,570,844,040,238,156,615,638,742,033,357,115,502,430,832,489,418,284,725,
000,707,544,341,508,076,160,208,610,543,759,106,385,003,477,110,961,043,702,
058,857,340,625,338,289,005,240,175,590,246,264,056,450,257,797,142,622,268,
277,676,213,784,299,283,300,388,371,894,848,834,135,896,035,322,086,033,873,
563,817,110,868,550,279,668,377,253,954,059,395,851,584,049,958,266,593,874,
397,825,232,309,382,080,459,262,852,002,163,483,694,196,141,967,531,965,848,
125,782,623,464,282,236,515,094,406,694,809,450,108,496,062,684,840,964,398,
189,409,852,370,726,688,876,241,842,556,225,979,298,206,037,437,891,374,174,
875,178,260,947,054,329,425,389,345,443,037,664,420,069,058,637,022,142,561,
896,463,266,803,545,328,208,653,334,097,876,874,403,756,224,958,918,976,831,
803,873,303,297,747,558,926,351,820,184,548,644,133,438,239,536,330,696,793,
361,647,884,020,032,184,585,559,641,742,192,482,420,243,063,087,739,603,097,
243,694,049,673,632,653,099,686,462,082,426,628,880,137,544,799,538,913,291,
430,127,018,274,830,578,329,547,427,621,242,246,523,860,036,676,411,137,450,
409,317,765,854,267,260,458,195,274,067,729,725,987,922,879,671,113,833,506,
499,776,532,175,941,649,604,595,575,142,705,571,166,320,173,817,863,732,187,
725,558,434,587,470,706,177,985,188,382,567,907,451,355,095,167,298,927,137,
334,820,016,197,469,973,890,431,792,300,606,392,444,490,693,698,706,743,764,
320,513,049,419,541,783,418,306,842,428,898,838,149,423,793,709,945,178,530,
830,289,848,993,797,185,390,510,737,178,602,047,103,455,929,002,714,575,632,
699,714,056,627,815,920,731,748,438,526,288,473,099,054,883,889,071,180,932,
725,234,987,866,947,768,096,028,233,349,951,108,971,507,576,279,638,411,994,
641,221,485,703,419,363,127,675,383,578,417,601,194,925,785,637,569,265,979,
343,978,967,827,303,410,935,630,547,515,878,044,485,746,043,944,262,727,828,
569,347,481,541,621,864,741,289,774,622,142,842,539,098,061,766,294,941,679,
323,432,730,132,359,724,211,587,179,341,966,891,398,593,178,944,505,848,323,
218,013,800,012,968,264,402,336,129,821,157,839,598,888,923,020,332,335,106,
034,655,664,936,099,178,346,312,424,190,709,780,523,070,177,949,839,736,790,
280,357,002,486,537,547,596,237,504,794,417,338,326,624,387,674,485,641,894,
803,821,418,097,027,019,696,844,402,281,068,547,507,532,537,979,075,301,306,
592,672,984,496,016,263,210,538,788,814,701,219,832,269,744,432,215,853,287,
198,387,168,795,183,802,502,901,018,683,355,663,438,394,195,288,420,086,951,
338,764,087,946,746,835,450,626,296,108,585,352,767,714,999,978,032,543,890,
081,802,823,088,727,573,638,540,382,612,108,303,312,027,226,751,006,862,773,
966,680,253,504,818,546,486,421,116,546,988,784,410,626,777,889,098,420,377,
141,828,187,234,930,247,456,132,051,114,047,650,624,725,388,648,497,615,693,
806,900,684,466,973,078,135,502,510,128,628,608,632,691,389,289,735,122,082,
350,648,313,793,588,411,411,085,385,377,601,095,228,283,793,733,510,815,313,
005,259,619,046,371,636,869,527,498,947,094,191,261,200,795,802,091,289,794,
139,634,737,554,178,005,096,302,126,534,330,496,017,357,959,121,992,033,176,
951,561,409,835,715,101,902,496,224,084,886,668,787,427,777,241,576,102,888,
501,313,245,301,003,420,921,946,276,797,982,658,179,491,140,917,479,182,836,
879,207,604,381,045,968,299,491,244,947,664,194,959,807,456,307,822,053,355,
034,367,314,459,246,590,955,699,203,743,487,868,437,015,564,334,500,000,468,
758,537,266,264,105,047,541,482,082,864,813,076,940,642,404,085,027,008,139,
145,311,470,476,172,997,054,924,617,392,575,062,575,868,756,016,828,298,833,
598,099,139,036,521,747,888,238,877,672,772,462,662,218,075,160,083,640,964,
480,794,140,966,084,309,697,642,661,927,640,057,393,282,227,958,241,096,091,
781,205,325,351,991,648,587,595,709,825,747,836,243,932,427,214,641,053,683,
162,344,742,643,746,734,761,722,258,917,815,803,206,913,172,801,431,715,297,
770,268,400,900,332,858,708,746,855,906,919,238,160,342,034,197,856,263,044,
918,327,872,015,468,986,785,425,588,539,580,809,331,443,816,363,262,306,907,
775,312,374,149,758,319,500,265,680,761,453,341,990,932,112,547,085,556,505,
205,893,794,044,540,617,596,061,204,158,957,392,311,285,093,018,931,151,157,
331,969,466,451,818,706,091,203,016,442,688,740,345,099,614,983,889,226,006,
656,133,391,167,232,509,405,403,071,928,954,449,432,096,264,652,467,176,204,
782,639,542,073,821,861,696,497,708,085,648,675,858,367,933,016,919,029,292,
902,210,542,741,981,264,789,140,918,666,466,484,453,622,574,972,138,145,659,
662,884,163,433,488,342,494,187,705,937,246,232,363,313,532,694,450,225,688,
924,679,460,601,430,825,091,300,920,762,891,409,460,817,735,324,932,033,008,
584,509,803,426,255,205,284,596,383,755,219,808,720,046,883,051,464,515,220,
954,137,508,240,073,252,768,441,900,133,728,956,070,297,463,626,967,401,057,
695,851,603,923,608,393,636,793,090,630,673,302,231,945,018,361,996,413,653,
328,438,735,133,070,028,235,922,640,562,784,777,676,290,535,785,198,316,274,
869,395,263,320,353,041,507,868,303,268,419,734,874,593,723,710,287,811,984,
440,682,444,904,041,533,562,544,934,434,270,846,988,198,105,417,545,187,942,
974,609,930,446,697,659,105,530,263,117,290,756,175,734,405,868,729,904,152,
677,381,312,569,409,742,928,457,651,183,324,626,458,955,592,525,008,748,492,
616,548,058,431,722,562,199,661,858,477,759,434,069,500,194,194,453,232,726,
902,140,562,087,231,829,857,341,884,296,749,510,795,330,787,649,431,000,845,
058,281,067,220,758,095,675,729,612,444,040,830,080,661,627,728,844,802,678,
798,909,262,816,204,939,692,879,713,490,951,569,440,486,610,386,288,919,728,
328,391,743,434,766,386,091,647,724,195,630,535,863,170,110,139,860,953,739,
676,862,074,641,587,076,349,829,198,883,835,718,433,293,309,387,336,047,558,
511,513,990,268,827,622,691,329,088,369,535,067,329,374,428,926,492,526,501,
456,928,571,158,790,333,847,209,135,686,145,411,112,749,665,609,080,069,537,
656,287,255,199,121,236,530,188,762,200,028,481,163,027,952,830,960,387,600,
274,186,231,957,872,180,208,737,145,188,215,558,647,639,124,914,831,378,259,
448,840,965,931,105,536,234,672,133,055,337,037,625,905,535,195,321,946,613,
771,331,768,125,701,226,585,925,396,881,960,906,230,342,782,116,419,315,332,
270,099,605,305,130,251,275,125,086,405,691,136,953,748,267,211,240,268,647,
210,125,491,088,916,131,663,544,968,965,061,364,846,027,183,174,548,477,300,
018,473,388,153,030,285,870,520,199,170,748,869,545,994,264,132,083,395,566,
703,831,149,636,408,974,166,197,542,407,217,993,618,662,751,578,009,710,447,
772,868,331,556,281,722,042,134,822,160,793,527,981,774,412,360,132,648,026,
531,397,332,748,317,905,483,135,578,605,938,599,274,628,833,208,157,396,732,
908,099,438,805,315,681,773,951,989,334,215,071,431,581,714,081,760,928,550,
822,618,119,206,709,944,659,208,472,283,408,633,625,883,704,431,739,497,688,
357,214,881,402,911,465,064,847,182,214,996,197,530,544,740,459,772,231,908,
769,495,079,473,275,290,305,971,704,001,621,332,376,660,593,000,645,446,828,
581,292,979,117,916,349,148,063,665,151,905,760,426,834,645,249,850,454,905,
249,787,345,745,211,908,035,362,676,604,870,964,059,651,832,483,436,146,720,
860,358,051,044,134,941,273,604,414,150,085,726,541,568,751,397,425,489,024,
179,373,237,780,684,623,272,995,541,407,493,189,004,642,756,596,866,411,407,
891,263,441,182,087,004,656,499,531,476,069,740,537,368,457,087,855,765,063,
250,578,157,084,507,387,966,628,819,203,580,937,588,179,713,863,501,317,760,
069,277,434,338,569,354,996,997,166,615,731,554,180,562,320,865,091,369,095,
155,718,713,074,473,678,218,365,265,364,905,190,752,102,257,683,439,257,201,
642,230,632,053,854,431,007,407,564,685,313,615,709,419,913,897,914,046,996,
705,809,760,124,843,965,132,866,107,428,319,293,456,139,166,750,930,463,969,
229,123,953,807,512,514,966,511,282,549,836,994,396,860,446,551,643,169,202,
118,046,556,873,364,050,344,671,789,915,753,984,712,686,978,781,146,714,076,
038,412,618,151,408,554,802,679,667,657,853,620,264,178,887,110,569,515,738,
933,944,705,952,625,820,087,908,214,981,797,642,069,774,954,758,646,798,917,
137,614,689,801,885,675,351,166,726,533,094,606,170,463,133,196,117,678,075,
153,196,977,548,564,292,057,094,900,389,592,290,812,917,528,929,873,851,024,
880,606,678,097,673,219,556,200,369,575,063,415,682,600,763,313,506,890,568,
952,111,376,866,554,814,320,700,828,590,613,604,689,637,440,116,309,103,197,
252,960,597,165,419,256,489,720,801,115,176,190,326,247,804,078,804,361,104,
733,584,975,921,814,815,389,827,187,933,592,954,629,473,588,835,060,204,899,
017,543,444,544,905,153,060,740,950,838,402,764,591,225,971,642,689,326,954,
827,954,865,110,905,136,086,447,857,641,381,781,295,514,928,356,491,184,130,
898,796,774,633,471,162,410,121,189,347,530,689,565,990,528,005,200,162,413,
011,342,818,386,859,343,266,227,250,747,048,705,920,605,687,925,867,382,898,
262,207,640,754,926,716,347,842,079,158,134,872,746,677,491,241,527,826,486,
674,445,254,229,461,195,555,095,332,767,395,993,667,783,003,526,721,669,081,
940,572,704,732,923,072,243,750,333,100,904,946,608,280,436,873,511,256,907,
724,076,490,608,245,570,955,745,176,313,588,269,938,541,621,178,043,099,352,
851,328,681,985,590,682,079,593,380,148,073,051,705,631,637,722,093,699,241,
876,154,166,487,753,029,870,079,840,548,706,284,526,265,516,501,586,477,666,
943,671,733,780,205,314,901,604,045,724,421,059,831,515,508,298,461,419,067,
477,087,985,301,159,420,940,219,036,238,443,994,515,582,100,326,146,012,149,
648,259,543,769,014,115,154,092,707,756,756,333,830,982,076,974,345,740,442,
398,072,965,044,179,553,794,284,929,020,750,929,632,933,265,705,193,450,607,
936,132,909,971,397,745,948,739,580,646,905,865,532,364,257,533,649,356,739,
669,881,089,387,026,830,776,080,828,506,379,956,900,884,679,149,227,608,435,
245,584,986,410,163,827,806,387,020,981,910,220,942,793,606,839,725,359,857,
176,442,702,636,061,279,263,229,446,501,884,114,474,382,362,103,457,357,410,
206,245,752,303,748,976,558,740,950,697,351,435,845,969,204,857,405,683,032,
541,660,113,245,263,006,602,038,571,953,663,881,628,946,448,015,296,548,363,
739,851,392,680,766,377,470,486,737,469,602,047,222,816,508,207,379,217,398,
861,348,353,718,792,300,211,535,408,961,198,649,004,113,819,033,970,310,398,
131,167,292,937,111,095,550,915,268,490,338,098,476,999,352,096,515,952,766,
989,866,587,879,349,468,651,502,091,228,422,694,161,538,136,846,930,269,460,
770,410,793,857,373,791,496,920,895,145,943,904,579,994,497,919,695,123,168,
822,696,855,607,333,539,105,731,211,229,728,816,657,031,702,453,732,093,269,
294,004,895,208,127,644,754,222,450,187,302,702,055,919,444,614,294,342,885,
388,247,417,442,760,137,373,381,677,735,459,022,020,222,211,449,762,928,649,
192,542,582,836,454,544,547,404,320,342,302,181,789,369,594,535,598,679,240,
636,669,259,891,968,445,435,390,099,763,513,812,037,691,089,822,092,119,585,
699,073,642,919,339,732,039,101,912,262,021,049,827,651,995,560,358,980,944,
303,809,793,285,003,939,663,185,320,630,260,111,118,574,065,153,352,518,738,
434,559,987,583,709,552,578,837,252,958,755,501,905,369,789,869,224,711,848,
817,163,741,134,083,391,310,199,187,126,986,834,931,792,562,684,020,144,065,
700,745,905,633,599,800,943,388,482,695,829,147,360,269,073,573,606,753,022,
005,553,538,977,395,389,357,210,758,072,185,098,010,060,729,461,927,893,950,
633,387,199,882,192,702,621,167,359,740,803,088,000,833,893,031,749,217,140,
610,453,284,152,798,011,444,288,257,455,867,951,763,886,877,644,900,587,285,
608,681,759,635,956,950,542,280,275,438,348,856,325,978,818,571,646,149,824,
307,631,516,377,363,577,023,226,939,472,756,674,449,879,623,523,453,010,896,
017,994,192,133,997,701,123,319,973,989,908,167,069,290,161,876,493,929,563,
920,710,244,300,739,097,795,563,812,283,250,970,538,667,816,667,607,729,944,
248,246,482,437,770,628,056,089,296,985,639,857,206,938,262,559,294,899,203,
911,481,641,732,450,158,376,517,527,253,795,227,342,241,101,055,890,092,561,
037,626,064,446,796,763,193,117,227,773,173,317,964,533,643,101,199,226,415,
678,846,834,448,214,490,816,096,920,751,923,642,808,368,668,150,447,715,697,
520,636,249,196,387,939,684,325,197,472,855,673,017,821,774,636,695,457,711,
552,460,695,489,885,289,951,727,146,797,129,076,303,622,593,766,788,021,977,
956,432,471,013,039,952,654,003,411,908,152,817,772,131,627,970,162,843,134,
423,402,932,704,942,313,339,194,296,623,964,066,836,896,346,680,918,082,645,
681,528,802,441,698,322,388,118,826,689,169,558,972,745,732,162,860,667,949,
373,731,681,831,135,909,513,773,486,402,985,139,373,390,133,926,264,996,253,
785,696,404,831,952,213,666,070,322,326,577,597,035,172,332,666,115,576,421,
705,848,923,669,387,619,191,798,782,865,148,368,810,679,500,159,865,011,206,
561,786,227,102,854,095,541,225,534,418,185,777,052,282,162,210,667,683,221,
277,524,629,703,941,932,030,556,439,959,187,870,359,058,512,414,980,590,561,
432,189,392,299,290,934,799,000,839,957,642,440,453,360,336,984,489,141,047,
636,791,908,520,495,532,488,484,138,982,200,961,337,763,633,797,040,083,472,
231,702,646,271,458,541,753,236,937,159,932,897,027,617,467,098,310,764,920,
783,774,884,561,811,900,451,774,426,888,183,860,142,046,220,210,550,875,911,
239,910,085,633,087,884,888,809,849,623,885,333,025,230,852,138,205,928,599,
266,784,356,576,868,811,658,445,242,759,127,906,044,962,887,541,027,583,641,
180,806,859,967,211,796,604,785,422,677,272,289,315,582,274,207,307,283,045,
682,382,267,576,325,893,223,871,048,090,957,673,548,861,130,099,308,792,487,
156,409,637,820,304,622,725,928,320,559,228,544,022,451,861,779,275,743,174,
003,450,899,155,439,220,851,961,093,675,269,315,232,390,883,950,605,343,788,
881,425,342,603,696,890,112,964,842,602,913,812,052,918,901,577,170,216,795,
011,268,214,335,539,973,429,755,216,609,802,660,056,468,050,007,080,304,428,
361,523,006,482,381,779,444,235,002,889,800,728,834,111,670,668,752,091,315,
845,273,247,701,479,287,074,423,569,129,354,966,109,225,014,590,578,543,697,
429,254,629,270,415,943,766,489,275,533,871,318,471,456,912,246,037,910,071,
580,811,709,328,147,553,562,833,395,391,684,814,871,144,420,605,286,042,127,
198,085,286,271,317,216,045,367,950,952,010,766,283,053,042,689,540,809,671,
420,299,589,949,039,077,889,111,103,973,741,112,247,635,139,365,190,089,298,
613,175,686,230,456,997,847,584,239,842,440,310,599,345,016,645,468,602,520,
338,430,463,078,838,819,085,763,177,089,102,843,751,282,714,972,979,826,640,
838,319,684,703,648,169,851,820,416,196,321,353,946,402,147,925,165,233,118,
693,972,446,157,023,883,840,164,129,693,748,158,537,716,817,389,636,290,161,
427,169,178,577,022,043,198,519,485,320,259,429,117,388,202,663,915,221,652,
925,733,050,442,813,660,177,862,592,401,074,161,774,004,440,117,040,437,021,
367,362,985,397,130,700,108,773,917,757,809,003,009,389,508,855,613,207,769,
408,497,757,519,709,833,067,279,676,748,155,229,288,340,703,007,978,183,101,
475,707,694,080,456,038,715,728,167,785,687,408,616,194,792,691,452,036,129,
312,938,125,037,892,396,303,467,834,655,316,298,468,540,979,609,267,927,936,
458,241,226,992,051,017,342,816,470,042,754,166,976,421,197,800,944,399,917,
704,588,412,141,633,341,682,082,050,655,264,047,228,611,688,564,446,988,047,
676,969,384,952,778,644,146,764,946,875,527,586,260,002,400,636,128,948,610,
618,179,013,263,371,876,661,537,374,427,390,680,947,232,415,514,415,909,327,
801,967,064,858,938,007,033,126,692,726,050,169,981,202,576,837,938,257,257,
045,507,131,776,909,697,393,453,513,614,965,761,181,196,013,054,039,509,627,
795,802,505,867,314,753,459,524,194,338,160,209,522,493,652,591,197,643,326,
034,935,777,427,533,278,057,844,511,095,801,604,699,483,897,993,888,473,051,
787,685,727,680,749,909,854,551,983,599,013,178,409,188,955,144,307,044,384,
204,928,337,523,352,149,955,016,851,922,696,038,032,448,843,106,134,741,813,
038,575,697,335,733,984,175,583,326,288,316,738,142,121,124,427,422,293,193,
516,018,331,251,658,076,170,956,495,697,104,595,719,170,915,522,603,680,448,
866,288,463,116,321,046,745,253,098,229,962,371,923,345,303,159,608,502,234,
600,806,776,731,812,560,887,537,138,996,807,606,809,189,759,402,111,042,900,
109,827,422,765,268,503,982,468,741,204,077,037,912,846,865,754,350,230,281,
676,178,152,323,071,704,033,319,262,313,413,334,484,114,535,171,481,176,912,
338,382,022,926,543,193,063,912,519,290,514,927,852,001,739,346,073,168,001,
483,220,274,723,707,530,147,038,417,558,824,292,459,147,964,471,203,431,963,
401,257,803,119,532,424,260,762,698,287,236,040,997,711,795,767,285,755,666,
596,959,882,587,433,077,775,446,395,480,676,703,026,783,407,384,027,392,185,
332,996,005,105,084,879,422,482,404,300,399,518,748,291,106,519,190,959,047,
605,121,857,498,099,476,665,223,370,959,616,037,106,215,181,110,279,143,935,
663,846,350,717,752,271,148,239,793,705,579,665,324,282,728,850,937,790,028,
228,295,688,559,311,982,973,306,396,244,732,587,332,790,288,011,078,951,340,
457,217,523,538,774,823,774,067,064,207,667,565,260,860,115,567,501,066,028,
154,340,161,250,275,350,723,320,995,653,312,227,520,800,575,554,972,539,773,
605,807,680,999,269,486,168,430,427,729,500,668,076,746,752,356,815,614,953,
200,772,721,021,386,585,046,133,300,975,112,221,483,520,262,716,366,182,444,
756,058,391,111,987,148,062,533,258,382,728,323,513,144,953,325,146,288,642,
272,852,666,136,409,784,878,964,727,840,417,954,953,941,579,664,536,675,478,
365,037,019,707,692,796,039,842,477,715,820,561,318,104,454,115,449,146,078,
666,534,813,630,084,020,879,334,087,530,507,938,616,848,256,939,517,298,032,
738,851,049,800,960,625,999,406,541,176,887,059,448,585,591,176,598,119,224,
700,835,117,090,937,629,850,159,921,050,608,117,032,034,881,612,420,180,170,
901,547,894,898,862,462,258,080,442,871,863,808,934,743,488,633,954,296,423,
220,475,196,658,632,544,708,582,841,530,577,574,720,933,701,140,836,184,148,
897,247,150,659,428,544,904,982,672,063,488,788,343,474,274,029,281,396,023,
572,819,432,624,249,740,659,195,448,333,194,980,526,597,454,403,302,871,931,
498,812,307,830,787,048,553,509,467,150,245,633,813,996,051,980,776,360,136,
333,756,880,886,099,021,200,816,843,772,911,878,776,976,825,129,286,761,878,
402,040,273,712,176,795,120,504,494,957,606,988,365,182,940,201,963,398,066,
029,859,970,233,062,626,972,230,412,861,923,205,293,106,074,573,860,808,992,
613,174,727,782,554,372,491,711,165,253,460,169,237,874,069,766,269,032,822,
690,605,652,440,863,101,884,902,830,938,744,428,814,630,060,188,440,677,042,
866,751,809,392,842,831,733,020,927,652,909,245,929,848,669,268,916,488,374,
269,234,481,275,270,679,172,724,488,016,300,656,251,352,834,148,574,308,635,
294,622,459,095,701,622,942,405,477,072,596,438,156,929,013,675,554,634,858,
282,423,086,133,713,611,326,623,232,476,406,714,927,116,812,768,011,579,632,
593,876,331,465,980,217,026,295,683,230,667,507,769,635,946,539,093,305,808,
963,216,459,722,019,737,218,093,471,414,845,725,327,248,781,110,792,253,856,
854,847,954,559,358,918,924,695,603,239,647,865,783,580,426,494,255,046,745,
402,662,633,858,703,395,456,686,066,707,554,447,875,974,614,456,930,077,695,
396,811,988,681,997,806,508,785,442,828,490,466,620,743,897,761,762,277,763,
797,680,758,097,371,244,353,357,336,924,317,869,980,040,244,692,115,351,942,
869,952,059,421,038,675,364,974,360,345,265,804,682,575,999,499,429,100,721,
283,210,204,406,448,132,576,876,944,961,513,122,719,766,215,399,093,347,649,
584,412,790,845,840,457,978,612,190,363,603,697,026,888,877,379,481,491,721,
427,889,957,072,805,492,317,125,282,023,377,112,215,978,829,902,219,682,135,
918,593,741,057,383,449,501,452,989,330,906,517,772,368,206,148,194,641,203,
419,135,336,905,762,810,681,377,914,062,076,103,677,800,072,221,774,586,288,
293,545,109,057,298,060,664,921,130,345,477,547,923,628,964,310,753,364,025,
747,904,589,200,990,289,484,456,780,690,466,214,024,786,000,676,924,376,299,
134,081,412,364,893,839,168,724,634,541,578,103,921,712,430,149,677,469,440,
979,149,200,334,497,356,223,669,275,155,504,074,174,900,524,820,839,297,154,
914,992,419,012,147,036,332,421,777,573,511,389,279,976,047,251,921,651,940,
020,211,511,793,447,099,415,235,393,434,523,284,973,732,835,356,431,870,923,
790,657,248,259,453,378,531,999,957,352,908,193,211,214,494,631,661,422,510,
833,754,119,867,447,418,000,788,893,901,070,550,725,340,723,104,573,793,351,
114,163,767,061,952,378,606,039,233,254,758,537,454,860,585,198,432,066,247,
943,730,251,182,407,095,253,712,408,225,686,912,109,898,196,574,289,631,076,
376,654,436,536,378,617,522,956,864,580,819,427,822,616,521,567,551,594,922,
387,299,288,915,698,292,236,751,260,532,800,398,124,115,169,859,204,712,308,
758,565,359,573,003,249,854,794,630,157,834,511,394,673,092,601,384,174,049,
732,307,226,202,847,339,420,960,920,197,719,545,720,304,221,744,024,133,786,
849,835,842,966,882,408,216,608,308,523,888,216,604,886,346,129,212,999,821,
065,263,054,532,130,460,179,546,524,531,124,955,200,728,189,299,173,968,841,
450,957,551,458,421,898,946,525,241,363,629,434,570,426,145,143,478,555,200,
712,927,326,363,026,890,687,574,280,923,623,957,501,558,880,945,320,742,691,
782,481,052,413,224,376,728,216,898,054,168,298,207,405,843,788,996,613,823,
894,244,712,153,834,658,858,657,898,835,296,154,425,032,039,280,230,281,303,
896,677,749,495,544,903,765,967,572,059,927,615,861,235,307,857,564,035,464,
073,257,486,018,689,158,409,637,871,435,260,154,202,054,682,004,721,122,706,
739,556,493,254,623,996,471,306,100,290,689,085,874,860,850,220,744,308,426,
789,747,130,454,705,966,224,277,278,787,200,245,210,160,125,050,501,349,740,
511,944,051,473,819,817,620,551,172,627,105,489,732,310,132,626,712,693,981,
870,876,552,669,872,226,613,749,661,629,110,596,348,276,157,077,492,084,538,
083,580,278,972,431,912,790,782,324,821,005,998,232,973,212,173,279,667,634,
080,654,858,502,300,204,850,528,328,803,062,763,954,313,907,601,774,991,444,
899,803,406,075,370,261,251,741,779,926,656,954,168,612,015,474,013,047,654,
524,947,766,703,604,680,522,586,932,656,023,574,709,236,003,855,363,463,469,
946,952,525,756,319,537,372,497,578,893,290,490,465,700,754,933,526,338,305,
777,020,158,985,929,088,949,107,133,946,826,925,096,198,984,327,403,409,926,
612,980,820,854,748,610,760,315,374,198,929,975,942,290,524,150,761,651,416,
360,398,166,353,019,414,056,426,479,106,346,872,964,221,084,202,143,621,009,
053,313,350,679,324,776,176,740,344,341,464,220,305,502,234,729,655,322,333,
012,760,280,227,894,910,548,243,071,380,673,354,478,142,326,053,994,342,480,
535,205,249,891,727,564,518,157,876,872,337,700,429,932,359,508,053,493,923,
730,361,557,430,160,564,297,229,229,710,574,822,071,833,594,834,118,814,371,
302,614,316,866,802,514,977,595,204,842,304,121,422,163,927,951,000,605,980,
429,718,553,748,829,403,466,800,347,312,299,052,008,994,263,611,659,758,817,
689,394,463,263,592,726,240,854,778,217,356,892,582,140,538,776,299,895,097,
391,716,284,144,618,545,428,611,954,113,547,684,373,594,455,428,943,815,608,
731,939,108,839,079,846,985,306,793,476,291,541,823,744,400,344,040,940,939,
923,363,627,990,571,608,425,940,024,080,171,174,206,881,072,754,555,179,434,
229,845,329,921,963,165,055,798,117,894,716,030,503,946,569,756,991,025,136,
807,261,553,119,887,905,365,841,128,490,556,063,703,119,517,970,653,013,953,
664,057,225,013,758,516,503,699,217,154,120,121,905,100,796,764,553,980,299,
721,040,420,934,034,786,277,270,784,339,046,673,894,226,702,948,285,478,030,
337,628,434,215,580,210,885,140,354,685,120,687,544,076,467,284,344,939,215,
105,413,305,630,530,329,540,469,562,325,529,272,595,285,867,115,883,518,416,
430,432,901,258,297,038,369,218,821,564,769,974,024,934,602,387,283,276,156,
373,869,523,370,884,955,979,804,075,867,947,316,343,134,582,061,720,304,192,
448,930,978,291,355,326,942,004,885,723,032,279,943,758,345,909,879,673,443,
648,783,034,836,127,292,588,395,385,838,325,129,011,618,198,994,715,057,262,
008,170,419,237,156,739,138,672,290,951,437,152,234,414,845,318,804,495,910,
186,585,699,939,988,475,609,388,504,009,162,568,153,783,049,522,958,474,170,
717,567,794,169,434,886,428,182,181,425,712,918,877,553,138,076,077,987,469,
222,492,389,478,351,040,249,013,498,101,318,674,361,115,604,809,811,621,134,
223,512,983,687,874,299,773,617,341,241,143,936,655,169,852,462,619,217,335,
686,599,952,507,948,927,359,137,938,768,471,590,675,215,459,647,490,690,300,
454,812,217,357,006,752,348,143,572,572,720,055,973,273,291,764,121,523,547,
170,010,452,416,117,819,794,346,837,680,352,767,184,752,324,194,813,553,083,
168,380,878,817,139,378,344,761,819,058,769,500,219,736,763,127,247,622,756,
592,736,297,281,790,379,038,402,085,588,847,441,375,660,318,240,394,694,295,
722,584,209,725,877,728,428,435,062,222,592,705,913,948,825,646,687,497,399,
242,113,159,803,175,769,767,515,451,081,550,675,492,441,537,336,201,166,732,
697,973,214,283,741,008,040,257,539,597,884,779,758,861,854,235,055,375,805,
910,121,733,929,622,835,981,669,799,554,927,243,866,047,835,806,516,146,608,
914,727,584,099,187,463,001,932,960,766,971,282,292,623,950,722,117,777,411,
678,724,758,921,060,320,020,989,478,323,957,867,752,735,032,978,907,368,577,
310,007,748,671,213,760,598,432,957,118,037,787,152,511,297,114,613,817,125,
402,265,108,048,841,659,299,097,331,838,964,375,491,551,987,302,359,411,573,
205,227,086,483,030,259,596,968,735,544,732,806,305,586,133,401,136,094,326,
167,026,598,580,462,995,525,460,216,806,530,069,934,541,031,820,873,111,477,
876,437,482,263,377,785,648,723,681,425,428,872,144,014,398,358,113,642,797,
981,356,719,042,655,331,296,166,126,596,784,426,660,544,978,419,291,402,777,
865,975,716,501,360,947,382,079,924,397,679,820,773,724,983,382,722,342,043,
023,085,260,935,476,442,796,463,926,583,276,002,878,622,629,200,015,245,654,
868,586,387,092,332,242,965,644,996,166,451,655,809,203,815,242,228,918,153,
052,523,470,614,397,337,402,038,754,694,924,057,632,176,986,765,336,940,526,
381,185,322,489,683,987,318,469,520,539,156,631,864,111,525,215,579,862,510,
778,954,077,673,061,461,123,807,461,462,946,359,166,498,239,875,086,446,818,
075,814,801,723,242,124,996,098,896,182,855,395,643,730,897,511,550,352,460,
180,144,633,932,638,803,677,059,704,657,794,086,958,157,586,433,209,869,186,
855,917,619,981,004,523,171,138,209,442,954,857,880,939,307,610,129,689,858,
988,849,769,330,301,013,713,506,809,570,158,229,560,736,505,738,299,143,062,
863,875,032,813,889,826,535,353,384,024,749,593,046,281,128,856,978,091,056,
639,263,884,641,106,009,986,375,898,408,060,837,798,261,366,236,024,816,370,
402,283,525,669,317,402,425,705,866,454,490,648,966,964,452,071,758,073,317,
278,298,339,018,582,482,501,839,097,111,840,957,701,629,426,328,035,445,790,
469,472,798,857,491,503,153,736,893,760,842,746,214,005,082,702,151,261,706,
896,695,326,136,223,129,074,091,121,960,376,811,407,848,905,477,302,696,294,
792,690,364,004,040,131,612,113,444,409,644,560,642,139,562,815,539,517,437,
592,088,433,016,756,751,670,132,956,725,138,299,180,712,992,918,693,713,607,
411,857,503,337,136,724,047,197,731,497,873,366,617,907,576,734,311,500,649,
789,924,507,157,184,244,347,884,737,648,317,640,739,095,422,597,836,239,705,
121,608,122,077,155,726,188,479,353,871,649,154,711,815,991,374,467,925,947,
590,004,545,063,286,272,026,567,611,009,887,098,894,223,915,318,013,692,244,
895,092,098,126,374,822,820,947,193,030,063,411,054,658,939,896,400,650,486,
979,703,029,509,947,750,803,860,734,041,716,842,716,894,291,361,844,676,512,
776,254,726,483,639,203,760,849,240,673,980,868,114,423,182,101,348,521,719,
287,300,107,967,525,957,937,504,806,958,605,067,078,388,737,077,380,672,218,
962,874,102,765,018,766,831,629,920,914,940,613,603,229,004,180,695,067,471,
331,471,696,854,428,243,106,914,046,019,202,810,193,407,867,381,412,031,046,
963,795,544,104,622,690,398,486,538,627,298,056,095,456,416,379,732,973,755,
278,925,402,032,215,356,663,738,611,703,246,579,525,428,038,332,842,126,015,
615,790,453,292,703,739,420,908,432,067,888,899,501,636,339,785,943,973,725,
688,448,669,296,568,117,412,431,697,710,795,528,438,753,758,432,665,543,464,
709,436,893,141,028,829,398,657,170,549,891,070,413,642,828,429,069,306,887,
647,245,288,923,835,098,895,350,717,430,971,121,873,790,919,391,854,037,647,
764,658,784,117,881,804,415,965,082,440,735,907,326,330,968,722,234,626,248,
990,329,674,187,914,098,674,695,461,656,104,965,042,653,783,355,003,815,063,
487,426,102,921,169,389,724,774,814,630,908,749,934,988,351,374,244,131,574,
442,957,243,175,487,014,246,167,816,936,732,982,937,455,458,717,387,578,938,
049,316,579,483,369,910,557,462,986,678,357,961,298,804,275,625,194,094,177,
310,775,362,491,931,993,682,845,692,297,686,761,176,976,450,236,151,741,167,
257,627,494,345,541,847,154,629,650,936,798,242,399,722,315,239,945,560,429,
601,924,878,568,126,801,851,346,607,131,968,895,003,159,847,824,114,483,791,
514,038,321,118,957,068,277,244,983,264,189,713,994,804,853,906,700,580,693,
804,245,772,208,286,660,672,026,948,972,231,550,109,752,828,198,181,839,081,
801,018,456,714,791,118,079,417,568,030,107,227,819,555,718,712,952,705,151,
367,529,769,002,568,411,237,025,931,967,660,814,132,352,711,167,277,541,570,
800,404,821,790,750,131,322,488,990,397,493,828,659,711,152,541,008,965,733,
306,219,380,280,380,649,598,340,809,255,186,384,220,280,232,698,655,267,130,
869,285,506,722,271,276,609,668,061,589,986,763,888,838,344,926,867,447,179,
863,711,691,408,290,782,169,057,265,520,151,753,276,613,183,014,957,787,750,
531,286,129,405,663,133,481,913,280,160,188,089,835,194,419,582,147,827,998,
663,291,058,031,186,341,550,057,044,502,075,637,644,795,646,474,624,197,765,
216,684,922,070,398,085,773,481,205,134,239,811,381,698,728,948,302,312,589,
578,774,714,259,258,553,204,416,011,175,768,699,336,942,239,330,319,917,457,
235,361,340,595,479,046,778,744,242,037,571,583,758,779,546,155,114,498,566,
987,083,533,089,550,598,216,160,378,331,577,505,731,931,325,494,244,959,489,
851,928,790,546,280,244,569,325,348,373,016,064,905,074,028,773,973,510,680,
919,450,460,735,638,700,150,550,168,481,711,815,212,131,144,686,162,910,485,
553,264,359,975,957,852,236,392,748,899,979,872,094,882,360,925,429,038,183,
949,827,132,787,015,861,570,714,244,813,988,087,513,327,137,734,866,040,579,
752,480,098,394,350,145,871,997,155,688,168,840,614,318,001,790,087,632,668,
289,271,673,904,302,499,736,370,370,575,428,891,804,504,799,903,736,091,642,
405,746,294,998,596,416,443,203,016,997,247,380,970,244,143,082,189,949,044,
797,680,585,105,829,294,979,401,599,537,006,258,610,263,213,423,442,645,435,
454,706,003,853,762,782,013,115,161,543,994,494,678,576,894,527,662,593,208,
775,471,301,894,257,290,009,697,020,724,744,746,941,480,691,874,422,286,518,
019,015,089,587,625,282,221,247,782,892,925,764,070,964,757,461,591,354,955,
427,403,458,372,003,551,420,148,402,724,523,589,442,503,494,770,477,135,470,
119,346,906,585,776,874,569,351,066,165,545,991,534,368,154,964,231,363,323,
618,444,867,608,388,666,440,877,436,116,392,355,755,678,086,949,353,771,733,
655,544,431,063,196,776,648,185,219,313,439,969,474,340,247,970,979,565,057,
786,361,584,347,525,297,490,276,083,364,605,854,880,681,722,276,987,240,700,
420,041,835,543,044,911,810,909,932,157,775,949,326,428,133,577,090,922,385,
467,590,457,120,180,132,312,487,228,153,391,084,370,115,888,084,715,512,309,
041,621,243,019,181,907,578,984,165,484,265,345,102,784,765,959,877,937,817,
622,216,634,582,943,940,404,491,139,428,536,066,610,829,378,425,262,447,755,
313,509,433,826,607,008,939,352,575,035,684,425,763,580,218,648,999,036,421,
450,462,879,657,263,174,538,870,567,222,271,555,265,050,776,923,785,311,554,
692,926,861,180,800,875,799,591,430,431,163,710,575,918,192,942,295,763,445,
283,758,777,084,066,566,604,262,890,635,213,655,418,840,505,188,066,168,712,
123,696,786,785,820,258,500,616,051,126,714,861,421,289,085,820,044,567,157,
527,940,108,964,862,350,249,358,391,830,968,420,070,737,929,210,845,045,738,
725,035,759,901,499,097,875,118,920,117,412,639,471,435,756,111,980,578,861,
897,617,264,549,991,563,415,046,006,986,975,595,894,746,179,629,766,085,831,
680,624,830,309,831,618,089,022,121,974,927,510,437,187,698,988,573,675,418,
733,626,263,619,322,724,781,673,775,800,633,153,600,343,546,696,266,145,105,
924,776,853,562,438,889,620,572,833,732,422,955,451,113,507,008,106,286,633,
488,939,705,125,290,067,715,781,141,193,613,962,090,600,264,684,315,483,639,
881,263,329,273,142,487,582,789,835,440,894,185,788,105,791,201,532,155,816,
327,160,411,442,915,176,279,603,344,379,104,711,503,690,910,444,169,130,633,
667,528,647,969,567,465,488,611,499,835,905,951,703,613,461,991,687,837,384,
599,142,697,383,297,334,560,172,880,946,709,079,300,341,683,186,770,394,311,
017,844,779,573,018,152,704,821,816,441,894,503,009,543,395,034,385,661,750,
563,709,777,957,202,463,601,299,350,266,052,206,985,796,612,241,177,663,495,
028,308,070,599,304,429,103,922,291,379,510,529,571,734,093,086,571,984,984,
775,541,990,619,035,570,425,223,043,964,589,729,295,503,339,555,412,616,380,
268,956,139,855,178,785,059,646,532,149,564,854,933,877,898,695,824,651,760,
305,069,909,692,413,527,509,175,892,487,943,224,833,183,616,644,152,336,893,
050,817,622,767,486,990,654,696,117,177,651,728,976,753,261,546,062,208,080,
199,235,224,220,533,296,385,015,355,833,639,163,413,652,905,290,498,825,764,
024,409,168,336,897,098,095,401,731,506,488,108,379,956,944,052,095,101,186,
991,737,396,028,923,192,178,590,454,444,973,613,856,326,619,665,053,087,294,
162,204,006,936,819,269,794,080,463,988,594,846,817,954,972,696,491,987,674,
145,695,521,700,506,475,682,871,484,639,293,146,372,658,552,641,878,053,390,
463,633,349,720,583,649,897,654,327,513,544,215,011,688,487,137,749,283,798,
769,750,385,884,236,460,818,218,434,645,048,811,760,234,919,141,551,577,179,
940,757,589,726,711,259,601,395,354,018,510,487,055,040,647,467,815,446,363,
886,923,717,988,560,760,783,914,205,593,526,593,678,053,082,931,581,585,592,
630,597,771,403,768,668,278,899,184,724,692,323,288,629,042,054,516,272,224,
511,189,525,065,330,646,606,898,697,742,234,709,927,719,267,771,503,979,991,
192,738,128,969,919,422,643,419,331,114,666,555,867,016,676,500,286,807,583,
192,435,040,113,814,153,223,544,747,612,751,552,219,283,345,575,505,328,693,
320,747,579,115,870,791,382,939,512,118,791,812,953,655,231,577,238,359,214,
805,075,928,286,935,500,760,678,247,418,352,819,985,675,072,980,761,797,746,
469,336,429,679,320,108,265,563,339,595,746,551,498,735,812,019,546,074,657,
739,870,228,186,160,498,943,590,008,574,523,787,288,903,211,397,635,573,421,
586,549,200,064,941,647,687,078,743,123,757,665,836,058,302,353,503,715,158,
513,779,460,071,510,316,955,057,107,764,747,170,573,755,272,568,140,108,070,
540,810,966,651,318,502,066,930,029,362,870,394,415,970,626,856,932,689,425,
437,736,926,978,158,648,401,983,029,584,568,857,221,922,591,837,498,980,974,
601,865,280,216,837,787,967,040,157,704,574,319,321,986,762,618,828,663,466,
181,148,947,737,116,388,977,889,351,959,585,144,548,415,962,515,950,819,662,
161,656,710,857,826,326,156,763,321,481,105,266,709,614,443,503,005,506,209,
673,609,045,169,778,636,224,390,433,745,547,609,812,607,791,287,046,279,583,
327,014,748,533,219,761,113,745,073,659,053,717,983,246,725,813,076,620,093,
274,462,422,696,478,484,022,393,636,604,606,216,382,900,086,259,123,249,081,
555,449,263,720,575,910,677,297,543,804,518,973,769,936,762,118,118,430,816,
578,529,115,157,629,660,224,051,428,306,056,313,402,329,614,266,686,558,337,
841,297,359,780,938,466,809,130,390,777,291,561,871,001,294,455,357,331,261,
943,415,029,770,064,273,399,047,383,648,329,822,171,964,685,728,969,349,778,
224,138,924,140,129,086,918,403,353,861,421,926,314,178,509,326,751,995,656,
973,384,712,904,168,956,564,522,387,299,997,099,274,237,607,897,300,128,850,
213,782,968,029,377,081,011,852,905,756,582,430,474,476,902,852,711,168,030,
502,663,015,725,733,543,943,427,044,959,259,267,042,832,979,701,315,861,027,
366,221,691,388,462,045,579,993,465,140,609,995,412,167,592,572,566,044,869,
475,723,410,867,482,696,331,350,862,057,152,553,568,980,371,909,722,618,740,
532,080,722,506,516,077,191,254,081,711,495,692,030,655,317,661,581,633,027,
875,813,263,449,224,647,617,977,415,100,551,309,720,138,022,775,076,837,635,
804,519,334,313,022,471,077,921,977,017,251,060,454,323,821,737,938,958,258,
216,605,867,839,731,183,298,048,276,131,467,548,591,352,799,060,983,274,689,
340,636,195,712,969,869,201,213,170,868,843,196,089,806,392,281,994,492,907,
315,977,032,833,103,638,170,835,786,606,558,140,073,581,113,111,899,345,436,
870,274,846,447,753,700,844,482,630,064,976,324,093,671,536,489,117,959,313,
999,871,988,205,176,480,245,808,699,754,827,794,081,863,534,969,265,930,656,
652,940,841,999,763,450,676,116,262,401,778,923,821,873,065,782,240,756,105,
600,125,819,782,983,355,563,257,705,663,320,754,689,562,839,589,457,256,943,
980,026,255,767,449,193,171,076,373,798,203,964,235,090,718,483,771,825,724,
649,275,127,389,724,224,179,025,007,821,319,608,629,746,355,144,810,599,284,
714,447,220,119,397,497,645,082,345,635,365,376,203,334,713,060,688,898,510,
677,031,837,524,167,103,685,095,032,631,336,590,619,638,659,305,668,228,793,
870,736,577,075,901,975,809,097,405,716,470,776,562,442,138,125,220,711,084,
085,643,046,190,981,586,365,954,038,457,194,185,391,179,911,374,396,368,088,
792,043,083,974,899,962,764,944,944,907,904,215,258,545,819,277,472,423,078,
412,883,085,711,521,932,987,628,358,499,607,768,064,769,970,453,216,259,089,
388,171,366,114,680,059,169,280,960,542,873,737,350,985,211,545,046,624,546,
907,493,319,611,869,151,339,978,049,576,169,324,556,927,456,738,998,651,583,
876,323,021,785,470,238,620,202,958,084,091,090,945,187,832,375,367,543,818,
620,348,541,182,231,812,255,730,134,210,012,280,714,840,377,649,369,782,321,
978,462,454,898,983,272,040,492,518,566,242,027,666,262,836,795,862,696,020,
412,672,667,846,314,980,905,403,808,164,697,009,158,260,686,234,803,937,029,
287,679,850,137,955,684,491,869,313,764,479,689,078,296,444,635,770,926,440,
639,453,264,485,686,295,770,404,851,693,304,547,679,723,085,597,781,105,472,
049,860,625,326,045,296,507,480,504,211,812,033,224,324,358,281,073,647,603,
755,067,359,643,764,189,275,992,010,992,206,602,615,439,396,909,975,326,228,
317,590,292,752,710,863,114,081,680,920,403,715,867,792,958,204,710,799,915,
056,268,947,155,373,231,466,201,774,218,678,810,357,594,816,345,948,019,977,
215,926,410,259,466,232,601,486,308,039,790,569,814,082,851,868,739,145,949,
976,551,428,250,789,481,253,258,797,747,681,851,211,912,092,179,948,578,041,
464,094,628,846,609,568,151,814,988,198,389,519,327,567,985,917,169,320,369,
194,047,849,597,132,589,089,688,694,021,652,491,116,341,347,027,577,345,086,
770,629,125,433,583,355,480,958,275,475,315,848,161,843,873,828,792,184,751,
632,001,859,691,988,834,565,297,454,148,566,499,160,033,107,264,038,691,083,
333,529,827,749,577,552,799,313,597,106,906,449,073,118,896,914,965,868,596,
885,694,358,904,635,009,007,555,147,392,384,429,794,748,051,400,658,751,352,
588,332,119,026,497,430,764,964,986,024,476,234,460,468,536,754,665,321,239,
122,677,958,700,822,855,916,114,584,326,086,069,201,130,566,340,289,814,544,
922,438,399,999,950,616,074,335,571,821,787,252,736,567,870,516,709,098,859,
941,149,363,530,484,196,975,926,440,650,092,846,118,341,311,391,385,568,060,
078,300,144,216,613,484,626,781,250,411,896,370,170,101,084,060,499,540,713,
620,097,099,428,061,805,515,527,106,767,463,575,459,792,531,840,844,753,636,
224,910,331,435,918,230,916,423,516,116,998,423,894,000,767,953,181,136,152,
991,802,644,170,726,462,731,995,658,179,561,492,897,288,924,760,595,251,341,
223,012,326,057,066,941,044,304,456,490,913,956,843,920,986,064,323,005,850,
992,460,829,892,233,977,194,362,780,884,953,036,767,275,695,669,207,328,333,
970,002,116,236,072,676,799,006,525,276,095,381,167,747,246,832,353,292,314,
230,426,502,493,639,922,984,351,656,158,607,039,115,424,819,958,847,697,404,
042,583,849,894,981,766,085,300,910,594,019,444,422,590,814,798,960,022,189,
229,148,089,919,992,570,830,693,887,113,100,673,867,803,276,791,751,953,514,
927,272,284,540,924,841,489,135,140,397,730,681,089,131,448,573,174,690,896,
892,834,348,635,958,155,722,807,572,758,395,182,617,408,143,907,011,023,386,
151,385,083,208,703,851,655,811,979,699,307,632,898,481,472,581,791,836,924,
963,961,047,437,571,744,496,846,125,501,624,015,583,327,685,829,513,962,273,
970,901,915,891,257,904,951,204,056,145,370,523,217,810,093,928,517,594,980,
575,040,036,647,859,302,771,516,853,471,497,777,296,019,557,485,882,256,195,
870,098,196,923,785,804,540,830,833,566,072,872,761,316,904,934,047,565,459,
830,673,771,941,401,221,934,245,740,285,956,131,098,402,523,002,283,841,191,
635,161,443,029,128,917,709,638,887,103,832,499,962,049,685,544,978,974,070,
790,711,610,785,193,640,373,368,564,106,539,071,031,418,681,579,961,138,404,
138,981,225,810,890,007,414,814,330,199,569,145,182,330,168,102,380,084,391,
886,858,478,257,072,359,910,772,302,289,148,665,221,852,712,547,066,923,653,
156,071,175,510,930,053,897,057,013,424,756,982,425,143,926,380,423,038,475,
672,400,718,898,307,568,507,881,212,395,654,916,112,530,938,602,406,587,055,
140,699,001,343,239,648,845,831,788,835,437,569,406,828,770,260,528,052,653,
152,627,818,587,527,283,854,269,627,628,060,874,419,599,318,758,387,096,247,
514,182,932,764,895,252,864,977,890,253,021,766,803,030,491,728,314,150,069,
790,204,867,642,101,946,469,790,702,639,729,054,302,385,015,467,849,742,154,
818,516,274,976,032,796,052,270,247,245,640,116,574,082,672,816,935,781,536,
342,471,015,490,381,871,551,733,091,364,074,691,794,303,300,498,444,391,114,
104,103,225,752,423,304,665,406,134,486,604,821,960,133,908,218,564,953,048,
277,206,498,352,304,013,230,608,643,206,047,215,415,930,660,540,538,261,548,
045,279,484,908,679,355,805,717,213,354,120,704,837,245,420,602,862,247,791,
008,031,505,123,905,831,531,705,111,271,462,263,472,957,969,850,116,642,449,
908,580,737,757,379,755,944,440,990,840,262,117,271,280,028,906,007,372,058,
574,384,519,737,220,942,329,894,654,691,877,636,066,050,702,449,073,019,348,
133,758,147,469,032,823,978,873,288,365,422,230,995,669,386,728,194,103,496,
681,234,930,535,400,193,255,688,024,509,792,230,423,172,351,818,974,105,445,
645,041,080,242,640,446,434,854,937,728,512,271,546,898,622,153,856,972,671,
288,127,536,336,697,278,582,547,427,861,651,052,029,933,399,825,110,811,673,
337,870,724,753,735,108,315,684,841,808,489,050,855,134,252,614,952,792,770,
209,101,493,688,862,834,827,007,400,591,251,000,917,032,041,837,492,463,060,
968,680,234,026,845,371,129,424,803,735,095,485,621,571,571,807,766,908,049,
531,973,242,106,998,400,230,987,432,204,276,278,873,472,197,971,890,503,245,
247,675,583,787,397,892,894,740,773,591,405,500,353,781,919,098,846,928,599,
461,000,327,885,443,197,752,538,086,545,122,083,475,444,599,289,866,565,318,
474,586,717,513,453,925,603,665,126,176,239,050,328,716,632,514,690,641,953,
047,670,561,830,813,676,157,533,038,404,344,008,336,458,027,359,270,798,590,
717,536,377,118,142,752,184,778,117,808,985,419,666,181,926,954,074,454,330,
620,311,121,957,624,948,516,131,172,664,324,528,673,620,454,621,936,693,606,
291,719,152,101,545,873,831,385,050,082,972,576,176,864,311,576,079,330,061,
196,821,964,505,399,464,349,764,110,798,194,350,758,720,484,880,819,385,241,
446,054,969,275,575,934,446,928,416,122,094,882,283,477,438,729,858,297,090,
485,020,385,011,181,692,977,345,849,904,154,360,318,563,972,429,289,807,218,
169,803,487,343,778,109,719,347,131,092,949,470,754,256,995,469,238,686,752,
278,220,042,758,575,498,399,660,359,655,315,257,980,032,963,297,097,356,725,
568,909,087,755,947,471,498,681,301,678,275,111,362,686,616,760,850,665,273,
519,605,818,321,661,368,687,987,106,580,259,623,327,888,144,573,704,372,652,
610,746,750,452,662,216,333,695,102,994,621,227,042,678,312,156,756,639,393,
509,471,926,416,934,306,936,156,529,351,783,899,588,894,504,490,310,265,619,
009,770,874,857,988,832,274,915,870,962,263,606,628,509,594,682,987,928,963,
451,322,336,560,538,414,642,244,300,981,347,239,716,026,143,137,916,192,534,
688,088,774,184,989,812,138,097,001,100,799,926,613,082,251,501,430,895,505,
347,224,871,245,247,453,852,546,280,601,994,284,139,971,286,372,570,395,282,
945,399,971,281,494,765,742,439,404,550,098,147,617,296,231,616,071,608,403,
322,041,074,651,193,340,737,955,412,218,506,129,539,685,889,150,374,733,910,
663,909,521,834,948,892,204,055,667,004,851,980,924,769,453,980,958,161,298,
157,337,675,337,062,735,517,181,655,766,000,197,946,131,620,761,811,005,349,
106,765,372,596,783,912,293,023,561,356,080,283,825,464,322,608,364,735,517,
976,501,453,016,891,001,851,881,200,647,866,737,015,228,888,213,691,509,759,
224,906,181,123,924,614,561,422,828,059,749,996,382,354,546,293,076,689,632,
614,770,267,911,977,145,240,796,679,303,269,703,735,592,303,631,845,837,181,
863,338,670,063,966,001,315,199,609,481,949,707,476,143,476,674,367,569,635,
212,223,288,630,749,718,966,024,113,477,680,586,796,339,603,650,481,561,998,
515,675,688,247,072,148,831,463,154,688,286,282,068,424,776,659,587,704,812,
273,122,559,892,664,454,641,772,053,109,016,784,867,607,341,460,490,433,335,
615,971,037,441,039,467,980,890,681,986,822,762,247,558,541,090,956,028,620,
788,580,750,540,906,598,437,573,672,327,848,507,020,644,947,938,936,394,974,
062,881,080,500,792,348,958,606,116,100,693,225,628,844,854,954,472,335,635,
648,185,937,058,521,530,876,013,889,094,697,311,563,571,968,563,023,158,666,
535,964,529,211,882,188,703,735,287,462,395,050,232,792,474,513,781,309,637,
637,870,369,693,401,485,367,664,610,256,730,589,514,924,239,438,187,250,600,
667,337,148,421,210,393,554,976,099,614,541,338,243,217,961,691,226,476,429,
491,458,745,851,681,209,620,346,572,878,951,729,022,348,591,503,376,662,603,
138,215,934,516,650,287,090,141,835,114,858,489,257,874,353,897,373,755,916,
014,363,049,807,282,043,450,385,880,825,987,409,160,926,890,689,826,748,257,
207,707,990,947,243,750,858,634,591,798,026,733,711,370,573,419,645,227,357,
651,257,155,044,536,809,624,891,700,743,471,450,175,996,822,158,436,018,161,
464,618,807,246,327,368,542,751,870,771,281,600,065,003,047,579,346,742,427,
391,028,337,506,159,162,733,701,604,286,331,003,157,215,636,286,378,215,114,
205,327,250,485,430,807,664,333,999,439,917,251,430,756,610,374,160,233,273,
007,354,385,083,366,717,194,586,602,562,664,557,392,519,475,621,068,259,179,
164,718,275,909,572,454,606,712,671,787,530,565,747,990,393,542,010,405,177,
240,686,865,912,256,976,579,579,565,627,395,424,213,109,662,715,306,293,069,
044,056,706,528,867,977,533,716,325,083,236,087,884,292,382,109,403,168,901,
951,024,584,697,572,641,049,157,538,162,443,255,254,690,452,178,881,474,336,
910,927,824,543,479,234,378,531,460,774,537,738,846,931,483,234,987,959,255,
917,095,613,690,812,977,148,635,399,530,139,030,856,996,650,212,569,231,228,
510,265,713,807,287,064,325,961,034,677,069,319,166,674,874,375,251,269,728,
529,079,576,312,247,252,941,241,013,694,576,816,406,079,864,653,947,568,663,
658,678,869,264,996,409,879,756,143,145,496,624,511,653,329,023,510,252,912,
964,315,935,328,704,774,947,403,246,839,772,620,752,605,604,314,090,668,350,
779,997,268,224,437,448,783,475,674,056,333,257,034,203,281,810,240,851,486,
232,689,823,987,029,064,152,007,559,905,055,330,421,659,373,103,868,281,140,
123,940,691,382,971,580,701,785,119,134,787,000,604,608,023,160,389,942,626,
733,899,338,161,943,543,842,673,045,408,832,053,475,345,234,801,805,566,821,
183,589,436,522,573,647,323,191,620,819,317,949,893,180,264,104,113,301,213,
152,796,819,480,875,888,708,560,581,532,733,947,780,155,839,810,966,914,332,
017,508,626,144,620,852,371,962,910,015,882,567,398,525,666,291,026,666,990,
282,240,322,042,192,439,692,977,876,324,736,263,376,553,778,437,819,407,134,
334,399,005,468,800,246,362,479,835,645,018,596,880,700,361,532,620,084,991,
210,047,398,140,625,551,349,796,786,521,167,034,863,872,994,410,616,505,554,
820,255,924,695,961,012,621,620,302,616,218,091,792,001,597,358,390,332,484,
905,813,448,120,235,677,598,504,365,598,017,269,617,634,312,433,801,349,324,
181,611,606,986,814,587,549,489,712,303,218,276,545,413,265,726,977,735,353,
900,798,452,954,518,033,007,462,796,277,757,899,708,050,545,828,996,149,589,
455,805,262,832,553,437,622,654,940,498,627,581,779,132,306,710,119,635,090,
996,114,908,036,347,145,825,621,275,483,130,352,061,384,520,696,328,061,631,
821,317,202,513,576,850,565,772,216,153,995,645,359,933,169,801,540,239,064,
088,491,044,238,376,067,207,295,510,213,644,148,970,174,429,914,416,543,622,
914,706,052,280,174,395,941,335,645,228,366,654,778,769,161,660,721,177,640,
898,095,603,180,685,873,388,676,482,277,265,618,502,857,415,517,926,835,707,
190,687,729,707,241,293,124,399,986,552,194,712,626,657,755,004,843,754,475,
057,640,300,467,186,402,698,874,795,757,168,958,233,826,874,444,122,094,827,
329,926,870,702,640,458,169,798,974,648,961,630,584,984,635,022,096,463,097,
755,673,224,029,171,799,576,541,347,937,506,176,193,347,798,589,998,887,262,
475,376,907,551,490,322,213,527,527,190,338,315,162,874,960,546,608,000,073,
308,389,169,989,790,638,626,911,436,715,886,934,043,249,162,241,060,797,856,
526,078,385,112,323,739,843,859,238,686,261,805,401,378,785,427,641,236,498,
689,602,343,847,919,979,506,881,228,975,285,398,458,595,328,119,982,416,728,
190,904,809,277,362,441,185,721,422,515,872,817,611,634,008,705,719,206,024,
376,339,464,634,358,788,361,093,625,953,448,661,959,352,474,961,174,108,366,
673,259,513,925,406,132,454,945,253,679,796,630,505,430,138,638,968,005,494,
737,549,419,032,270,965,225,219,959,070,412,838,687,521,140,480,097,642,641,
281,374,993,594,363,123,610,457,828,089,275,968,219,103,556,801,730,625,100,
268,431,704,238,141,514,990,863,487,226,141,662,868,810,310,475,631,937,008,
514,573,507,722,339,060,660,422,960,017,258,507,911,416,550,282,673,456,678,
376,064,604,557,376,728,524,354,304,636,822,061,244,666,271,738,831,883,547,
197,081,089,081,913,012,244,752,729,156,098,142,687,536,360,593,392,257,287,
932,493,222,451,920,080,603,437,141,669,345,219,415,623,541,410,176,665,793,
565,093,790,903,304,212,823,934,621,842,497,094,432,098,023,393,691,804,699,
830,190,497,626,144,817,538,217,198,374,213,462,845,193,286,852,609,879,334,
378,722,732,660,261,231,067,455,096,438,361,679,256,641,232,367,288,902,138,
962,845,981,202,831,089,099,586,432,872,210,910,737,923,730,480,708,501,078,
725,243,720,447,822,555,349,070,468,738,452,146,200,793,019,010,578,120,435,
002,423,080,293,046,370,734,639,492,002,843,800,462,554,239,748,828,535,066,
076,153,269,868,702,167,925,982,895,902,142,160,333,419,755,897,383,431,204,
002,167,776,446,517,748,197,688,671,745,792,273,241,973,737,780,174,502,916,
324,094,978,818,224,614,957,968,676,241,387,826,563,385,925,095,783,243,595,
709,583,324,043,531,758,245,511,826,538,952,271,927,431,272,116,397,132,382,
160,218,396,332,788,765,414,749,167,349,809,474,113,961,452,111,333,103,721,
630,645,087,919,054,228,227,932,854,341,817,952,239,932,179,470,932,709,473,
497,027,377,211,757,565,241,837,093,474,433,020,721,885,387,256,818,077,135,
953,420,551,418,579,073,251,045,914,226,262,876,973,059,147,081,056,495,092,
633,572,713,943,605,909,845,613,148,260,158,342,712,362,728,929,757,469,987,
379,637,520,144,210,804,523,580,086,344,804,946,385,247,854,306,636,349,512,
919,111,381,548,788,517,539,335,913,369,876,625,741,016,152,978,650,285,287,
787,012,099,769,185,559,341,765,836,744,585,693,844,132,468,284,159,711,399,
939,610,025,429,099,397,471,181,245,470,033,040,927,681,749,018,700,688,282,
719,373,900,434,124,388,098,191,719,479,884,338,128,385,903,710,656,140,621,
655,713,177,459,246,935,943,795,190,750,031,910,130,706,530,462,580,069,417,
506,718,820,090,950,953,775,155,402,216,652,162,677,017,447,134,808,502,091,
369,049,001,909,820,472,837,020,581,520,783,217,117,036,468,909,645,040,393,
865,125,685,210,778,308,983,724,622,432,293,327,515,659,215,112,936,221,956,
763,556,794,380,275,662,977,566,158,643,250,536,416,701,340,719,704,749,928,
388,748,115,162,190,362,070,562,192,382,655,168,269,741,222,462,950,571,581,
990,757,852,833,014,174,859,833,360,056,031,753,173,065,777,121,171,764,950,
489,200,662,138,340,520,043,693,390,576,531,372,388,510,243,847,936,109,358,
471,091,391,001,328,232,211,911,495,629,612,808,602,572,335,550,010,369,879,
972,072,848,119,661,569,864,363,626,549,927,244,477,301,448,881,559,572,473,
844,636,927,807,233,946,830,469,437,713,339,567,930,234,980,702,776,294,179,
516,009,297,182,524,549,959,193,873,598,871,519,872,506,954,919,241,854,850,
794,645,701,245,866,833,271,979,564,611,309,664,668,728,405,942,645,015,979,
880,351,408,109,333,564,011,089,257,186,329,964,415,369,523,239,124,148,586,
705,708,765,923,699,916,236,739,199,039,968,464,234,547,308,039,467,366,764,
109,807,357,432,964,327,880,544,279,659,832,133,358,792,774,801,161,621,498,
728,975,797,880,723,719,256,632,935,316,752,105,599,180,425,592,777,421,758,
630,560,759,137,645,654,578,880,381,614,673,537,620,328,816,692,746,196,972,
992,919,289,330,206,622,085,344,698,586,985,055,222,236,661,648,722,444,274,
778,628,686,493,082,456,453,693,415,352,545,577,998,436,187,415,234,424,632,
135,393,438,238,959,242,319,639,916,517,014,649,649,862,160,760,592,213,870,
220,864,649,689,589,407,615,395,263,400,561,329,729,142,683,386,540,480,765,
716,338,758,379,483,575,949,647,396,399,789,605,586,303,708,958,232,044,464,
171,911,249,707,230,091,686,538,695,305,498,836,259,266,511,625,877,698,057,
169,280,429,200,680,957,704,037,652,248,749,440,960,890,626,050,650,594,414,
393,770,802,070,756,163,022,954,771,778,123,629,620,280,180,230,090,082,063,
585,378,609,511,937,953,606,581,780,113,236,157,576,949,413,523,445,069,816,
330,220,136,011,204,991,436,175,614,458,283,995,208,293,233,195,482,927,315,
275,093,869,830,451,445,053,601,479,630,464,616,947,297,765,894,269,955,531,
482,916,808,916,929,691,736,799,482,727,743,251,691,310,651,233,384,688,105,
270,231,203,134,846,126,905,133,202,468,404,602,666,523,701,011,506,169,706,
772,693,665,248,668,229,335,898,131,400,982,273,934,466,468,839,268,533,778,
809,531,394,664,399,517,066,202,217,950,464,117,391,125,442,230,385,457,028,
045,544,473,364,977,573,152,955,335,508,481,187,666,414,782,203,695,675,933,
042,958,769,468,605,697,130,379,975,044,272,844,139,750,925,642,575,731,704,
329,870,157,267,824,537,940,493,571,010,732,379,326,252,539,240,835,818,648,
469,222,841,235,406,671,124,765,696,302,992,703,145,646,436,038,469,418,703,
398,074,295,466,156,906,771,858,040,624,802,246,278,739,184,103,532,091,915,
054,716,263,673,787,333,795,159,875,716,891,883,156,269,673,591,152,166,390,
715,587,164,068,944,885,481,366,912,354,839,153,662,713,429,076,469,878,553,
879,367,359,244,708,612,482,733,949,559,155,049,651,612,670,708,955,252,644,
648,849,383,045,883,206,839,266,500,179,790,057,115,363,955,363,760,080,145,
312,227,419,885,814,199,783,520,543,140,330,394,455,513,256,145,740,755,593,
967,147,549,516,709,258,490,724,458,334,948,659,534,398,106,241,866,517,885,
244,321,928,068,710,835,126,732,452,849,178,223,551,773,116,517,257,178,573,
776,217,031,112,095,000,365,954,999,056,068,825,618,176,286,786,712,997,265,
222,022,390,149,645,086,293,475,735,981,919,184,613,889,591,491,460,237,089,
845,848,274,299,429,987,056,081,251,284,311,389,731,597,605,706,263,032,097,
294,777,747,507,815,680,708,534,809,949,471,055,426,427,602,728,970,490,638,
854,373,249,008,832,692,266,009,255,381,619,635,735,049,466,579,376,344,561,
644,636,161,334,679,266,986,277,772,888,675,355,256,643,900,527,139,922,689,
555,393,812,143,664,773,309,357,059,067,617,633,373,121,525,341,429,877,971,
945,397,126,766,481,375,031,903,272,857,868,236,195,224,746,853,556,644,297,
015,127,306,670,564,664,457,623,844,658,074,795,220,904,884,786,480,963,669,
352,853,273,704,515,677,712,130,925,874,434,090,259,316,620,162,155,079,752,
532,957,572,868,486,496,226,224,307,271,267,319,892,764,533,246,031,644,666,
231,515,531,202,860,414,453,992,364,093,891,493,422,698,192,539,710,406,976,
345,780,303,356,575,920,974,416,393,152,133,628,843,319,028,740,038,599,959,
202,590,416,039,276,439,333,693,388,622,600,676,440,597,235,504,226,660,227,
639,705,359,899,965,378,480,717,852,181,187,353,357,012,181,395,225,917,163,
035,000,202,920,522,737,212,396,679,360,617,108,136,237,826,250,220,197,022,
094,747,195,706,299,090,885,464,035,988,131,657,208,017,395,228,727,908,354,
861,707,734,451,244,710,073,441,462,453,533,371,930,184,265,917,444,682,511,
634,619,837,153,887,983,671,078,361,044,675,312,965,949,707,107,956,018,079,
494,821,546,569,864,267,175,340,115,565,094,424,207,725,920,452,563,831,439,
928,987,347,523,552,602,556,555,681,168,017,651,222,192,877,484,284,718,578,
431,706,827,412,705,692,133,366,576,557,406,887,682,866,635,623,989,992,827,
591,248,369,526,868,195,616,081,180,558,168,980,866,582,308,566,272,733,109,
601,278,365,915,714,067,506,718,763,317,788,427,153,656,964,140,902,845,474,
497,568,912,041,574,910,770,633,967,809,813,912,987,387,523,355,667,055,961,
211,630,470,429,091,809,171,143,765,369,370,895,055,818,208,934,977,588,474,
809,024,534,930,546,787,236,358,090,155,449,193,530,207,506,412,692,326,982,
403,915,593,339,849,795,938,084,316,273,804,738,880,436,464,596,364,521,087,
746,768,390,767,054,611,692,045,573,041,942,425,841,727,020,591,642,345,690,
702,005,294,575,585,166,311,748,088,955,644,561,502,690,893,021,686,796,185,
759,098,655,211,885,301,291,383,083,824,204,239,673,882,409,702,613,735,179,
153,027,608,134,874,492,068,806,892,873,399,930,801,543,391,181,988,607,766,
172,445,124,297,429,396,089,383,983,568,786,853,828,404,543,895,441,472,087,
663,518,846,578,037,612,766,057,143,353,804,295,711,963,221,886,161,863,827,
466,511,609,182,383,290,384,978,913,475,959,377,534,467,992,706,955,129,533,
256,011,211,312,983,900,985,955,814,687,515,904,771,527,167,211,473,779,700,
699,296,953,868,102,053,099,884,666,530,239,385,181,282,671,298,605,315,652,
677,146,933,317,311,030,093,142,354,226,913,075,327,145,806,727,010,253,548,
103,286,604,180,663,936,535,194,745,348,248,277,535,604,012,726,382,546,888,
483,259,364,309,398,880,886,780,334,534,267,922,726,144,950,331,292,859,070,
998,696,151,344,098,201,189,785,443,804,105,602,709,293,867,874,979,211,740,
185,308,731,881,621,975,583,791,772,228,847,466,453,007,008,865,758,679,533,
554,271,530,717,420,372,704,057,844,480,809,944,932,856,356,756,436,715,059,
865,849,300,853,211,612,404,055,036,099,084,570,858,527,118,255,338,857,862,
742,184,303,016,756,442,041,902,379,220,087,398,765,233,827,402,934,700,229,
546,481,937,346,176,327,240,278,473,105,724,281,178,421,210,885,560,107,434,
124,603,452,825,668,854,463,560,252,428,196,149,959,631,239,753,247,947,242,
036,298,913,425,695,888,975,204,969,085,495,986,653,726,491,824,260,580,376,
273,257,022,402,498,290,277,245,039,168,188,324,385,670,551,856,067,086,313,
425,877,927,690,455,919,299,107,566,515,574,723,372,219,848,585,661,499,996,
143,406,850,863,785,686,854,505,782,170,097,292,983,152,307,792,401,628,646,
376,214,616,867,292,310,847,231,424,134,282,460,466,657,745,289,554,225,103,
759,309,950,166,787,197,674,345,328,114,466,446,388,870,948,027,177,368,680,
035,615,163,729,633,731,940,031,048,638,491,140,051,343,872,043,610,277,961,
746,470,560,774,173,225,388,210,251,427,163,703,883,140,171,353,334,679,242,
651,619,127,725,013,847,006,458,122,042,604,350,794,779,735,651,864,838,543,
193,923,684,898,530,743,614,216,508,722,508,473,659,505,376,322,518,709,261,
729,204,856,213,321,463,456,477,890,404,904,616,635,882,445,828,746,634,172,
171,295,515,655,620,454,148,365,546,905,803,969,774,976,035,842,526,548,398,
595,278,708,139,074,145,259,604,348,589,927,207,618,262,430,743,589,395,442,
176,978,192,063,825,006,503,423,001,583,596,992,866,761,564,494,096,073,286,
648,788,424,366,820,031,161,621,026,121,400,294,668,231,299,755,584,289,846,
159,240,725,009,145,957,606,434,322,351,082,914,308,857,925,988,196,579,390,
188,511,177,216,211,540,560,223,087,649,991,210,005,532,777,886,020,874,396,
602,806,765,195,977,655,558,485,821,661,935,599,512,494,789,248,769,161,563,
532,852,149,738,122,837,085,985,387,453,740,040,781,577,537,368,587,978,981,
500,398,925,111,967,370,919,528,150,030,445,259,148,031,384,195,032,868,720,
076,148,847,647,440,779,675,092,876,215,801,939,841,709,870,634,542,791,925,
255,414,473,137,164,532,141,330,403,729,202,313,572,669,923,434,895,615,632,
821,651,402,251,927,597,077,590,417,838,540,211,564,173,317,756,949,046,284,
817,369,557,190,340,377,680,231,881,333,903,079,988,639,813,842,393,466,179,
893,932,590,719,697,125,238,844,513,447,349,272,523,978,587,296,345,309,499,
958,215,479,245,850,796,045,762,330,650,570,338,620,206,212,758,396,908,998,
351,554,655,697,849,495,909,617,350,404,054,473,908,609,773,009,604,651,061,
435,225,564,782,557,799,481,449,579,300,645,279,870,111,708,450,837,158,921,
411,178,899,215,295,511,248,078,203,789,719,773,718,290,551,898,236,946,297,
856,554,601,630,537,031,106,484,142,942,814,829,621,526,259,418,690,214,356,
717,506,046,783,319,168,421,138,267,969,124,855,131,496,073,515,452,663,209,
389,238,297,327,859,778,253,128,604,098,220,541,551,107,749,860,451,711,503,
223,187,793,718,759,043,023,087,890,899,937,542,369,587,586,901,697,065,040,
156,115,527,026,770,392,926,126,812,603,844,713,305,022,032,872,676,542,813,
328,633,717,232,512,555,434,563,550,967,551,729,544,243,108,464,653,543,021,
844,966,961,671,074,059,116,078,944,863,459,238,002,931,213,812,839,129,867,
215,290,626,321,582,818,911,516,869,126,053,524,108,767,336,703,703,178,331,
672,380,988,008,112,575,922,623,737,250,497,718,694,729,824,214,080,526,603,
727,701,042,834,135,666,380,320,353,702,987,077,034,102,364,544,444,132,577,
298,327,598,564,729,115,375,850,336,162,511,611,073,192,314,260,958,787,698,
410,023,991,343,412,948,894,012,875,896,189,216,626,994,336,148,489,728,110,
093,040,822,752,489,224,417,000,100,598,332,753,027,981,503,875,714,124,594,
580,662,633,777,393,599,974,752,569,783,653,054,606,176,671,669,210,369,755,
268,139,151,353,050,069,406,927,203,469,205,729,577,029,309,371,077,715,089,
763,997,804,819,347,315,351,206,364,661,751,853,738,526,614,686,257,350,741,
835,451,892,798,442,799,935,869,761,494,320,550,934,227,742,387,627,683,362,
316,333,968,744,792,785,854,197,634,308,312,244,117,552,732,126,760,575,709,
742,816,305,214,921,249,165,716,151,174,468,579,383,871,640,144,842,612,363,
686,919,383,014,416,733,374,284,848,924,400,358,447,508,541,821,234,778,626,
276,785,294,588,414,963,050,851,258,989,802,739,869,272,869,882,515,623,459,
419,232,135,783,365,741,209,956,136,615,605,796,390,175,552,656,445,835,223,
970,160,650,174,976,825,025,532,181,359,686,352,713,356,324,743,940,745,578,
672,904,071,764,349,059,188,933,749,653,894,060,163,687,782,695,781,177,134,
588,508,018,197,970,262,648,842,803,819,891,377,894,352,722,483,655,516,531,
967,358,390,119,426,103,772,915,723,482,486,443,446,507,962,594,915,657,707,
239,002,978,665,000,633,255,135,209,940,709,017,249,352,577,372,023,656,694,
404,469,452,533,332,163,365,254,095,942,171,081,145,475,934,045,979,003,316,
890,882,671,849,657,899,747,005,250,790,821,905,687,156,790,229,332,250,032,
646,736,964,233,539,217,384,350,966,838,436,962,134,513,292,693,680,861,064,
880,669,172,440,046,963,459,946,446,792,521,797,891,132,472,695,406,746,313,
896,095,989,875,804,113,802,534,709,056,914,751,888,463,724,412,035,755,128,
313,368,296,980,648,602,014,194,887,950,850,116,400,228,055,069,101,920,138,
807,440,337,223,135,258,214,447,939,384,301,134,402,715,940,223,211,493,338,
822,701,285,218,255,615,213,224,954,722,489,291,800,201,498,455,727,910,181,
307,044,646,803,834,491,720,775,697,657,194,736,665,264,207,274,456,164,431,
613,392,589,151,085,418,299,576,210,261,385,311,902,307,016,917,435,813,123,
759,702,216,454,011,126,715,165,523,265,780,050,486,078,487,399,449,846,148,
781,095,732,872,235,687,228,019,118,438,972,579,962,868,150,522,274,240,847,
042,296,671,832,191,128,480,774,185,756,151,684,533,957,295,373,829,780,566,
300,378,084,161,863,498,728,431,469,562,199,265,742,894,590,658,833,572,750,
840,805,507,010,915,291,150,869,914,720,124,784,997,752,708,606,941,784,450,
946,517,032,186,092,408,461,288,295,842,278,209,150,951,203,498,278,731,905,
629,906,000,619,914,789,745,915,499,884,876,339,389,619,681,804,444,768,882,
527,940,523,566,894,300,223,901,420,637,353,012,671,378,414,889,893,392,529,
911,860,267,579,766,690,290,679,833,186,312,445,731,362,901,909,343,357,407,
763,046,385,454,704,521,139,798,073,825,928,098,208,255,459,694,095,846,360,
974,703,411,725,737,137,968,340,018,056,656,453,317,904,663,668,847,330,713,
150,920,023,746,484,707,662,412,104,314,148,824,354,556,573,478,543,768,317,
956,829,014,392,985,694,282,994,686,105,685,341,278,090,401,679,177,952,535,
209,119,302,065,827,821,287,103,873,512,091,015,037,089,185,494,786,000,966,
305,506,561,895,569,875,211,113,466,529,676,880,017,710,450,844,432,107,668,
014,530,834,111,601,144,735,954,247,465,452,836,650,823,273,820,629,592,298,
385,014,360,428,101,291,501,809,636,242,289,127,074,155,106,057,588,274,380,
499,248,402,191,792,743,756,337,875,905,770,528,419,380,011,890,407,863,112,
161,597,243,980,914,829,573,629,144,169,915,765,869,140,443,480,049,761,349,
892,465,272,030,304,804,855,993,046,446,564,471,231,500,040,718,045,555,127,
397,326,527,660,650,643,085,571,846,216,953,356,839,807,873,953,355,667,102,
978,065,570,511,704,408,966,037,320,833,429,001,138,880,070,820,017,190,657,
630,553,648,412,057,279,298,403,888,161,450,576,240,096,486,946,634,031,161,
060,652,630,723,733,176,955,398,250,996,034,657,623,218,429,926,928,229,088,
386,013,784,974,623,853,491,180,890,310,977,044,323,140,826,331,122,188,684,
496,655,297,600,355,897,444,618,374,229,880,131,594,042,425,039,573,427,701,
384,845,758,676,419,894,396,043,350,156,678,767,193,412,652,406,252,042,360,
587,186,052,163,951,689,983,731,137,945,776,049,393,453,405,238,558,065,749,
842,129,095,056,912,922,712,314,138,592,290,342,126,990,944,530,237,087,565,
631,112,698,903,515,674,630,330,182,243,436,982,942,359,570,714,725,521,321,
651,800,026,527,036,930,455,453,606,323,854,815,124,383,789,086,777,950,503,
259,653,512,375,532,681,420,993,624,611,711,192,671,249,790,356,136,260,067,
624,897,906,017,028,907,647,250,566,709,110,226,413,732,659,740,674,607,552,
297,809,283,286,120,088,835,047,924,634,983,771,427,070,521,322,460,817,483,
894,256,502,898,565,292,864,955,070,079,172,383,380,703,750,800,922,403,247,
270,532,143,721,579,266,350,571,802,150,026,730,737,207,728,857,876,618,665,
136,345,146,025,329,038,586,542,300,337,638,307,092,707,404,625,301,750,566,
332,076,303,605,070,566,313,086,511,943,969,394,695,687,157,285,958,670,215,
035,419,720,789,552,523,199,307,124,396,568,771,602,644,031,288,354,121,334,
391,232,155,527,697,562,368,795,717,318,296,016,999,809,043,265,201,756,184,
089,913,997,472,740,363,905,137,757,872,448,632,090,207,704,242,445,288,982,
939,947,981,927,535,102,645,255,798,227,599,046,739,231,636,410,773,797,796,
442,191,378,157,835,163,898,933,487,655,404,812,938,122,771,419,145,683,526,
595,609,837,279,043,993,391,365,512,745,329,343,096,772,339,286,869,923,850,
439,705,143,295,653,089,408,439,180,636,703,959,877,929,052,764,578,323,121,
682,276,568,237,484,627,632,592,660,201,339,636,691,266,235,249,447,163,279,
185,883,766,489,191,355,287,119,394,296,408,768,305,917,296,584,122,654,780,
646,412,150,523,889,824,381,247,761,609,375,485,410,043,121,420,166,609,826,
477,438,429,791,254,904,127,122,850,457,983,503,355,923,303,076,879,487,687,
138,437,354,772,108,897,294,505,679,055,154,315,432,876,197,667,830,058,073,
096,493,956,066,088,319,023,428,981,125,111,291,150,836,844,826,266,269,160,
714,191,736,400,292,810,310,825,116,715,989,249,101,321,519,693,483,348,581,
439,757,942,913,111,129,353,214,903,109,907,960,996,223,251,023,577,634,979,
904,493,421,416,996,444,477,947,681,042,816,765,982,734,846,699,087,698,385,
684,871,352,733,362,029,830,947,965,909,920,776,123,986,582,871,704,601,257,
251,238,029,056,069,579,780,337,531,140,508,029,811,998,936,895,027,061,041,
941,371,380,261,545,459,393,331,692,348,096,083,441,457,492,089,695,830,887,
911,638,269,875,485,748,026,804,072,799,605,876,788,079,965,608,783,231,703,
064,214,342,485,459,002,217,148,597,434,305,752,664,939,969,913,101,105,932,
140,098,282,356,616,825,202,322,143,650,716,804,541,934,139,909,769,673,479,
208,696,560,121,317,446,442,800,762,713,659,230,655,621,910,597,068,471,215,
928,168,551,692,622,240,754,785,562,429,773,175,185,204,554,075,917,204,745,
512,594,251,564,751,045,182,816,986,552,383,447,064,430,897,778,964,027,411,
993,359,477,547,404,736,496,268,335,653,317,935,348,179,296,345,036,099,619,
453,392,342,728,339,755,260,941,889,261,724,485,829,332,901,392,523,400,527,
293,983,406,524,967,175,607,234,184,705,882,140,301,506,498,103,301,562,884,
581,317,311,809,153,382,640,364,339,449,294,725,218,615,150,239,500,607,024,
506,759,343,246,502,228,306,725,891,708,618,578,068,639,134,889,744,777,093,
162,559,598,149,622,767,980,517,310,722,931,718,163,837,909,376,154,316,478,
825,761,040,706,252,051,440,574,314,709,166,187,121,098,013,704,978,545,185,
448,004,751,215,603,786,441,637,308,118,363,328,022,304,705,837,837,093,661,
646,515,791,142,510,421,320,914,222,964,207,372,959,822,008,159,268,360,722,
047,309,727,514,739,307,009,436,298,102,161,046,783,477,795,857,338,793,740,
296,156,029,720,215,552,674,200,155,196,398,890,403,543,081,515,949,401,356,
916,498,716,232,607,729,694,576,295,313,112,154,513,628,279,291,724,843,206,
720,932,503,233,312,876,486,035,768,856,066,998,736,061,301,988,067,756,083,
285,933,609,817,337,617,123,426,608,399,812,256,131,428,253,967,569,411,162,
734,389,762,742,088,004,232,249,065,674,325,268,335,456,249,100,814,867,642,
125,165,353,396,446,837,089,007,935,248,070,902,759,332,129,245,900,971,497,
432,495,917,949,683,296,557,808,222,418,809,205,350,925,729,510,516,602,660,
519,139,200,390,752,561,211,618,160,683,038,460,608,885,205,467,340,121,339,
418,575,546,575,508,036,063,844,028,620,150,356,209,212,405,287,564,113,235,
476,089,509,982,352,452,243,049,667,732,042,648,418,014,886,491,708,252,422,
335,015,891,874,043,291,698,759,417,395,233,064,586,139,385,493,167,739,005,
528,290,612,332,772,958,372,748,610,019,555,999,034,049,757,911,676,393,675,
581,638,827,065,085,235,789,854,231,961,794,233,982,042,886,368,591,838,728,
615,819,283,010,338,837,054,306,811,029,586,731,929,446,556,861,159,393,476,
088,199,285,331,318,846,381,875,279,104,141,480,662,931,139,546,076,154,377,
546,455,788,372,507,077,931,711,469,371,525,674,100,447,294,915,804,744,242,
710,411,574,994,163,771,123,073,955,456,400,973,693,169,645,394,140,303,924,
583,029,530,771,873,035,501,608,991,553,110,839,777,494,437,313,275,005,225,
020,783,462,705,327,122,751,205,736,805,404,987,355,452,238,293,015,014,081,
432,744,894,971,539,014,506,538,195,634,729,068,497,471,291,031,414,700,808,
357,543,480,546,607,964,825,815,520,536,280,146,673,711,054,136,504,678,659,
376,413,207,128,831,905,136,628,784,003,821,694,397,300,760,878,766,679,219,
881,196,705,017,976,237,811,448,087,454,383,759,314,635,860,649,431,487,373,
928,539,978,130,682,563,019,022,179,372,258,806,360,621,349,378,036,973,961,
704,209,324,381,512,430,242,172,868,185,585,069,573,922,254,645,930,366,997,
156,368,714,608,850,060,812,243,108,868,179,301,372,891,937,039,967,833,883,
538,541,368,191,201,472,832,597,071,556,147,330,614,523,246,240,299,618,708,
554,766,839,287,906,162,984,299,105,713,946,886,069,815,161,132,211,795,999,
035,966,405,231,114,882,843,723,623,649,886,856,393,668,699,242,112,823,608,
897,338,685,157,541,791,083,519,720,311,936,855,656,757,348,410,134,423,873,
270,198,955,176,181,504,172,562,382,839,578,258,731,638,207,293,590,426,798,
051,615,992,783,643,746,790,256,893,489,214,439,156,519,648,363,171,529,944,
602,822,672,007,038,687,765,759,142,798,975,074,294,388,088,420,628,093,961,
485,453,153,661,936,483,462,762,283,696,439,080,254,749,024,140,317,227,729,
983,023,865,170,450,078,909,480,438,743,021,819,118,779,018,115,323,764,148,
331,977,066,787,285,437,437,280,220,714,877,800,916,085,123,530,609,089,772,
955,415,250,655,037,420,321,877,636,496,766,881,394,568,505,812,344,144,324,
721,226,068,018,370,383,246,560,251,096,256,258,040,028,748,388,400,086,990,
288,236,377,635,787,164,481,712,517,172,795,329,752,204,117,953,095,678,326,
416,805,287,170,698,239,815,195,866,055,258,472,472,698,820,619,448,389,173,
869,919,324,471,006,284,652,416,647,906,676,706,286,903,970,789,277,302,924,
303,938,201,697,567,819,360,951,425,523,192,184,939,328,248,865,097,544,514,
034,130,871,124,878,774,601,963,099,435,943,675,451,897,459,234,716,122,398,
173,474,984,514,953,333,036,929,795,386,635,725,320,004,777,716,837,240,692,
911,556,467,676,379,586,767,392,193,557,408,267,474,489,414,535,204,637,252,
768,538,720,874,464,154,482,923,166,819,278,015,623,620,589,585,921,722,592,
372,825,956,748,792,281,853,101,699,836,867,081,661,486,300,291,524,915,231,
720,898,992,132,742,232,681,446,984,508,874,015,535,901,425,646,720,241,849,
210,507,024,330,201,087,682,139,197,885,134,483,580,731,234,922,335,709,644,
109,819,712,727,804,058,119,039,976,904,915,294,355,092,125,405,656,139,318,
332,727,071,949,405,225,283,331,404,111,337,278,991,266,123,263,529,920,757,
529,344,767,673,314,179,778,593,429,722,327,619,947,233,969,689,931,483,311,
836,980,083,149,812,715,705,347,015,465,626,785,329,072,241,813,980,679,131,
598,934,701,417,989,835,321,829,254,017,274,812,548,827,050,809,616,450,038,
833,293,968,959,329,063,578,149,746,594,411,181,024,784,251,039,138,279,162,
310,152,779,219,487,759,673,784,311,147,322,866,094,947,526,702,049,874,318,
690,983,247,376,303,969,364,453,595,236,224,651,400,302,639,278,818,599,818,
994,984,592,466,695,735,592,215,791,321,638,308,921,302,878,274,040,363,587,
924,676,018,449,041,696,054,042,983,598,671,079,103,721,721,417,326,741,913,
629,974,376,009,208,076,146,062,542,151,284,959,308,998,758,717,921,958,694,
259,600,533,567,859,091,461,788,209,770,489,383,459,089,907,269,355,510,006,
259,229,373,111,684,767,520,898,928,159,460,481,353,645,210,301,211,640,469,
321,321,221,957,217,564,070,643,849,604,026,064,083,500,933,438,309,931,545,
211,046,052,657,920,143,570,585,134,510,882,207,552,411,707,751,390,542,731,
141,208,919,951,978,107,001,389,462,043,691,212,751,170,063,833,738,208,239,
344,187,209,943,263,217,663,659,008,232,077,406,880,716,214,635,944,299,316,
133,610,772,007,158,922,419,545,816,794,889,691,887,084,336,391,637,738,628,
509,049,018,926,228,626,502,134,207,021,846,913,903,416,487,913,342,118,819,
136,934,895,515,443,098,149,212,342,932,116,145,420,591,233,308,968,343,951,
287,038,194,875,547,034,353,853,524,953,013,614,160,603,579,085,340,466,679,
330,644,805,415,160,964,688,583,667,998,290,051,126,273,106,136,296,170,105,
403,165,071,438,530,843,028,059,903,332,672,745,250,370,338,060,501,351,239,
102,804,057,515,837,072,943,087,776,918,551,202,144,742,805,189,500,892,720,
377,065,158,712,262,557,520,155,279,505,416,085,494,519,759,494,467,360,850,
079,088,521,674,420,091,351,435,519,326,407,113,451,819,144,143,903,881,908,
326,807,008,712,435,988,793,248,387,504,101,033,030,592,911,955,375,186,710,
402,754,193,978,497,820,331,346,011,395,416,662,733,967,143,833,803,659,626,
664,672,916,044,487,576,657,329,291,794,524,593,895,339,395,837,569,995,043,
604,561,099,757,993,295,477,095,366,578,769,394,592,597,366,279,716,519,316,
931,986,959,037,593,617,169,146,796,445,143,881,428,761,641,076,149,351,243,
717,981,024,591,058,972,017,762,199,635,275,195,740,149,642,340,266,853,376,
415,970,860,583,030,159,472,107,433,217,400,779,400,868,893,095,543,241,796,
725,655,787,920,689,235,387,762,004,637,706,327,890,712,993,914,640,896,177,
712,432,812,565,755,788,477,957,367,653,874,612,668,284,011,209,886,397,162,
951,769,410,539,998,217,045,851,033,548,650,868,998,756,777,789,179,559,125,
755,329,841,956,709,692,365,290,991,078,598,516,487,975,628,580,346,610,537,
738,117,936,366,279,900,202,564,999,134,487,537,408,519,724,758,188,634,531,
442,485,383,252,149,298,437,802,700,295,393,196,106,419,313,220,205,238,023,
118,968,425,717,558,864,731,730,170,953,335,538,807,644,844,701,210,769,536,
239,809,738,832,478,620,616,321,074,501,831,803,349,422,868,425,047,229,849,
775,189,048,602,368,483,288,079,789,791,811,756,122,325,892,707,242,325,971,
635,452,350,412,377,175,913,274,636,729,873,577,086,693,214,345,065,193,402,
473,325,794,102,826,711,698,896,129,329,756,766,943,562,739,650,737,352,406,
177,236,101,202,512,533,816,029,226,509,086,467,345,370,199,304,038,262,276,
835,768,683,830,737,248,810,713,529,263,526,178,849,424,433,338,856,597,881,
348,571,737,297,484,624,285,613,058,201,619,207,899,075,481,495,677,572,244,
485,356,234,386,474,869,786,957,814,666,946,566,931,144,039,682,110,982,147,
637,425,621,847,540,349,844,305,756,605,565,285,107,712,143,825,364,712,966,
313,473,271,766,185,285,458,348,268,294,749,896,259,335,850,444,429,981,949,
284,360,154,032,596,685,474,594,393,317,507,315,826,860,221,167,405,347,236,
715,381,997,240,912,935,846,988,922,097,264,053,034,044,845,019,818,852,206,
223,446,114,213,326,677,026,779,915,892,444,813,415,692,252,692,882,271,228,
585,054,508,697,660,927,383,689,442,018,854,387,105,785,523,847,351,289,221,
373,545,571,598,783,175,198,793,911,711,168,884,414,235,461,141,067,265,544,
689,173,311,924,138,664,391,211,487,830,695,832,271,043,904,354,903,786,486,
768,116,409,407,739,173,722,151,101,723,229,534,979,293,791,999,068,239,945,
854,460,139,077,803,221,842,241,244,244,167,286,331,879,701,754,541,710,182,
553,618,196,892,882,696,263,066,431,698,580,145,306,252,658,544,146,492,958,
415,219,956,399,738,301,368,146,416,652,800,700,858,695,302,393,880,926,598,
907,723,761,229,813,590,019,594,864,624,927,403,422,533,267,757,584,325,072,
433,076,793,562,202,793,847,641,065,816,867,292,820,497,586,476,121,553,285,
069,176,735,966,559,774,714,884,416,420,128,335,965,004,674,148,925,819,667,
268,195,708,326,740,102,691,068,025,746,810,058,262,693,680,919,909,789,568,
690,946,558,102,801,210,439,423,555,352,182,874,505,757,730,558,824,699,100,
981,124,459,291,393,953,783,375,398,182,113,509,481,729,203,337,932,423,360,
683,559,193,067,888,528,800,269,468,845,407,693,408,671,244,299,866,724,440,
305,003,577,164,150,680,287,738,050,930,678,083,682,505,966,661,941,146,409,
281,156,234,429,921,573,067,012,543,255,466,742,392,061,027,321,590,260,821,
117,605,531,756,790,935,771,328,057,268,192,651,467,040,217,718,285,126,198,
448,125,735,276,762,944,824,308,922,816,454,830,146,364,548,703,145,089,197,
176,170,649,177,807,026,422,250,854,707,369,102,120,161,078,150,518,001,886,
584,275,266,274,965,395,359,449,241,339,140,092,890,995,245,814,079,125,287,
221,553,724,769,716,903,419,088,530,190,943,672,050,123,247,716,502,404,020,
623,461,587,492,004,156,943,276,045,104,387,813,493,307,449,386,437,051,200,
560,013,035,859,685,428,543,833,141,401,559,693,271,248,408,002,031,667,767,
147,947,547,776,036,257,145,761,018,590,615,301,952,472,650,154,919,702,469,
922,745,807,041,609,271,754,711,275,598,991,408,753,590,636,163,292,873,165,
877,006,318,189,645,086,902,278,126,721,595,945,721,457,178,025,876,646,868,
823,978,548,902,455,845,160,753,842,418,633,254,043,723,587,049,626,665,477,
019,296,428,147,395,154,825,951,658,636,093,947,893,596,203,924,043,976,516,
712,545,005,694,586,622,069,367,015,005,597,077,079,028,086,645,056,552,113,
359,494,665,622,146,779,451,155,398,463,005,164,383,957,112,466,666,705,687,
467,689,037,189,928,376,341,988,297,969,530,650,241,222,930,504,851,533,500,
436,975,338,825,418,864,958,700,343,964,348,468,981,032,196,347,244,182,470,
528,679,310,185,579,979,617,938,491,988,729,127,590,364,586,527,048,865,567,
995,962,908,021,062,480,682,502,157,280,015,286,941,669,646,161,239,593,199,
255,182,826,597,288,072,474,592,918,853,535,481,208,725,194,627,495,073,842,
288,236,508,972,955,634,666,931,920,462,532,986,568,509,662,130,042,624,534,
800,781,593,228,685,743,989,143,141,134,962,322,489,249,546,691,139,874,044,
174,484,934,836,498,123,764,257,576,338,316,498,664,609,399,138,950,980,439,
543,686,949,575,248,474,289,261,174,041,951,988,101,949,048,936,254,501,531,
740,396,716,071,512,827,274,423,111,929,485,194,745,122,442,495,684,800,473,
364,475,422,217,039,851,955,080,748,526,164,516,381,212,264,029,636,756,649,
996,789,261,969,026,279,905,193,364,355,963,596,942,934,283,489,603,272,963,
463,421,469,310,128,689,730,685,829,399,407,472,940,166,655,752,194,031,689,
361,179,799,962,148,482,192,316,047,915,781,881,282,187,840,681,665,270,523,
471,416,609,673,114,754,723,178,127,930,987,804,920,194,995,611,144,490,847,
624,538,367,267,590,256,651,494,704,119,087,888,362,526,312,252,612,428,720,
698,487,862,091,058,685,171,190,003,204,699,749,637,345,095,225,401,314,630,
809,707,742,721,953,166,022,321,563,215,812,781,710,031,861,024,408,828,509,
920,782,228,822,077,843,468,242,116,101,084,298,559,855,941,470,921,763,896,
714,200,082,286,764,480,956,379,148,876,686,149,527,951,093,370,020,462,746,
846,055,295,207,162,029,042,933,929,613,327,108,251,958,256,080,346,360,655,
870,977,081,662,093,852,090,399,814,418,393,371,492,154,184,601,855,892,318,
566,922,116,175,115,038,775,276,841,018,407,235,162,958,433,262,970,131,227,
723,979,297,599,412,520,034,553,787,996,870,803,791,022,990,390,368,011,536,
394,529,305,083,213,746,174,510,937,800,200,179,359,155,745,905,204,005,457,
236,466,650,681,410,475,335,981,523,951,489,807,240,714,820,024,888,055,087,
060,553,468,411,130,062,209,898,662,836,167,034,632,353,517,135,639,851,490,
816,189,714,240,356,368,517,964,883,191,027,688,619,343,496,869,554,962,184,
833,538,553,920,173,499,552,404,816,878,330,806,456,127,766,706,036,750,311,
312,148,374,169,270,788,999,373,803,954,467,585,130,218,341,635,487,446,539,
030,748,397,886,689,481,845,860,814,217,124,907,815,358,538,587,725,646,852,
516,898,745,232,157,859,950,432,668,844,423,709,423,705,141,739,794,522,197,
197,111,092,864,821,530,299,702,324,156,749,142,657,625,682,986,615,248,686,
995,161,651,563,191,323,311,458,282,490,755,030,368,296,055,299,730,705,037,
786,042,939,685,441,691,701,647,479,494,955,816,673,818,908,957,371,733,962,
915,693,858,425,319,705,314,606,228,337,442,279,115,593,200,251,875,136,138,
128,065,195,047,208,446,494,845,968,593,645,791,600,752,150,319,802,986,523,
240,100,471,189,838,524,118,802,815,832,600,975,144,896,140,168,975,216,886,
335,704,378,395,699,689,652,315,866,777,277,249,813,658,353,527,913,623,933,
833,915,532,112,704,745,644,437,450,070,322,805,236,083,440,831,423,865,576,
205,721,692,400,067,056,134,074,692,241,573,224,520,610,026,120,866,235,211,
169,059,480,874,673,922,367,175,975,517,430,673,547,612,935,162,592,697,030,
277,323,008,507,592,233,694,405,552,052,015,931,264,124,817,857,460,082,714,
715,215,217,880,966,732,659,356,465,805,994,017,476,895,647,524,986,566,392,
808,298,930,892,335,308,070,768,915,083,427,853,673,240,670,042,906,133,608,
959,093,492,864,115,759,954,718,177,795,602,072,710,174,556,768,198,778,884,
313,947,424,228,434,191,038,645,150,331,472,443,805,509,403,325,873,253,025,
833,132,872,197,362,200,999,934,720,979,938,639,863,038,794,924,888,552,773,
710,584,303,542,579,510,191,475,916,095,367,020,672,744,050,808,961,028,699,
909,566,799,550,220,904,326,845,291,852,695,374,085,106,094,950,161,190,091,
093,316,443,219,943,025,783,665,559,937,783,640,679,557,328,797,192,319,125,
001,402,062,977,980,260,386,945,054,689,365,794,754,527,752,774,685,694,537,
373,084,039,803,009,886,924,021,629,093,945,588,695,323,444,323,509,561,268,
003,840,654,924,118,417,504,444,218,538,792,792,011,540,314,916,732,815,190,
919,895,771,877,186,485,312,239,062,993,573,681,296,194,237,990,125,094,194,
529,736,522,099,007,034,390,745,002,011,045,222,067,200,555,520,956,407,471,
314,513,391,633,658,249,509,635,005,836,270,853,925,420,445,216,774,679,653,
150,939,003,439,248,466,374,988,378,108,171,938,606,356,157,012,117,821,673,
142,276,183,738,099,948,865,661,523,817,110,321,064,637,260,381,688,626,679,
268,423,033,643,679,490,699,288,713,928,438,454,058,107,678,720,216,275,601,
987,499,965,450,569,960,839,647,562,527,938,904,116,921,508,073,571,592,862,
434,591,057,421,495,250,304,548,242,065,873,052,620,372,813,677,687,709,243,
778,699,912,465,210,108,559,609,895,348,020,244,097,971,216,369,081,646,470,
472,666,040,132,774,153,144,932,013,165,640,941,005,222,364,382,395,549,668,
311,146,002,608,649,246,479,139,626,431,038,747,289,776,130,786,603,612,061,
354,221,694,242,881,706,539,053,440,091,777,868,958,119,329,679,842,995,454,
310,168,645,007,529,025,303,314,264,982,528,527,197,163,914,627,840,046,869,
521,735,317,821,866,057,847,982,886,245,118,095,077,271,158,255,490,734,435,
270,102,671,183,260,201,226,725,042,939,264,187,654,414,434,145,768,341,104,
592,170,122,903,278,256,691,445,025,510,098,946,563,336,947,394,710,027,912,
639,734,036,638,301,866,183,765,175,241,140,651,421,730,615,470,081,328,513,
584,459,474,845,679,542,878,311,573,652,627,656,936,403,872,034,554,024,702,
904,318,718,173,795,180,152,194,670,512,695,175,897,576,846,999,458,173,338,
776,917,778,033,948,982,463,463,081,693,727,779,914,252,886,556,449,213,692,
704,582,082,118,911,312,947,073,882,854,982,054,654,753,373,536,516,382,682,
583,269,013,252,455,639,255,702,919,046,166,903,156,233,652,218,965,554,843,
907,878,217,900,268,751,809,616,177,031,673,068,800,456,742,172,255,738,392,
002,627,003,920,854,728,737,288,319,207,204,912,843,637,195,286,696,351,663,
592,015,265,686,261,411,666,436,167,879,845,396,707,532,735,937,610,963,921,
385,218,532,944,638,959,540,875,057,060,870,479,975,263,488,897,226,033,912,
540,960,632,200,647,616,127,831,242,478,803,639,235,700,752,466,737,388,423,
498,601,389,627,537,365,767,988,024,992,592,818,837,847,208,825,257,117,728,
298,794,050,124,159,511,717,274,822,165,697,987,085,704,796,940,102,374,621,
356,161,751,125,026,989,726,902,891,645,489,977,405,352,751,959,745,379,039,
875,261,806,789,276,135,855,108,703,740,054,143,610,829,951,426,448,896,603,
853,794,805,806,388,261,403,123,369,597,074,580,875,576,974,783,725,886,627,
366,254,481,456,962,815,182,023,110,595,570,495,591,532,914,624,652,456,310,
336,798,829,495,328,724,309,718,995,618,652,585,353,707,629,364,671,309,863,
860,839,384,283,487,778,687,236,737,930,380,999,047,793,535,317,446,779,014,
317,113,065,809,213,961,777,958,337,656,017,552,882,976,017,221,236,903,197,
063,487,052,624,019,642,017,984,831,765,321,014,986,927,818,186,324,822,888,
460,144,562,085,916,284,612,711,376,944,019,246,348,757,534,085,855,968,539,
159,289,519,959,855,019,417,040,898,659,699,515,843,562,583,383,498,967,545,
960,621,325,921,706,911,069,570,103,395,097,359,023,279,904,565,953,572,277,
479,969,384,416,577,365,373,452,609,324,692,605,793,034,412,540,466,971,268,
220,320,790,137,979,444,723,003,768,436,851,771,654,496,545,693,664,971,978,
948,722,522,999,245,456,601,802,839,009,819,710,396,796,063,276,022,446,304,
032,196,084,972,517,629,466,096,558,699,150,681,523,917,942,304,222,548,159,
165,708,220,917,048,280,741,283,315,505,848,292,516,803,462,513,729,576,625,
864,690,559,332,357,303,251,726,168,049,661,720,839,990,214,845,113,935,063,
874,317,638,780,239,008,317,993,598,039,344,750,715,740,712,170,673,752,739,
241,262,304,775,618,251,945,378,631,152,747,809,421,601,637,251,814,947,117,
165,076,789,583,602,793,031,695,597,354,819,837,735,983,634,715,549,220,021,
565,879,051,201,173,122,030,516,135,429,939,590,648,214,924,219,713,968,119,
428,999,743,828,994,037,631,879,901,236,021,077,248,902,607,162,568,631,019,
565,275,335,306,675,093,882,993,113,306,804,931,072,232,012,197,018,845,189,
590,329,592,150,788,217,304,784,737,380,153,653,935,924,149,915,033,770,700,
543,763,352,326,208,687,183,750,614,873,072,476,354,164,502,947,555,619,864,
849,652,619,411,755,695,458,517,625,490,763,478,273,328,517,115,911,823,620,
557,234,079,430,835,880,231,278,562,341,120,721,799,487,447,189,244,862,130,
326,772,677,814,017,653,482,958,431,900,647,647,075,915,629,607,178,355,808,
780,134,843,570,230,971,158,335,762,521,028,871,736,372,535,236,238,531,754,
057,475,613,314,804,308,927,981,667,841,124,222,749,862,662,542,640,740,561,
349,976,347,706,482,468,156,615,372,258,309,404,917,097,198,971,518,588,745,
407,467,820,534,546,600,325,204,103,813,059,618,749,037,192,900,063,777,413,
862,621,743,763,890,614,091,284,263,706,848,377,960,040,432,627,065,472,135,
762,119,948,614,960,704,211,406,614,246,197,209,086,658,342,843,730,324,660,
047,834,390,200,306,060,807,060,416,177,354,099,934,844,201,367,336,420,018,
396,730,114,592,203,271,780,514,622,015,133,671,781,713,502,011,105,005,241,
018,159,617,564,810,725,622,430,165,495,875,353,940,117,217,027,708,226,104,
931,959,210,261,523,510,175,289,285,301,377,934,403,255,567,915,903,684,326,
596,636,996,432,182,189,340,923,969,878,879,288,362,751,350,065,994,085,284,
814,453,516,744,043,908,746,404,509,837,492,066,898,234,560,526,712,121,919,
604,634,284,694,451,087,039,224,724,424,521,896,827,991,823,597,853,028,263,
838,172,184,594,748,882,717,946,001,966,668,292,453,955,435,358,991,555,014,
078,237,995,398,082,782,270,835,086,332,614,712,393,432,538,469,243,580,249,
160,620,319,398,261,831,380,474,236,305,093,858,379,811,685,193,320,544,932,
190,835,623,627,733,511,072,093,818,944,156,352,553,421,363,710,801,248,716,
740,139,168,400,944,132,313,853,051,051,809,229,529,182,263,587,961,997,166,
332,327,149,511,826,866,915,203,997,908,667,402,151,366,925,853,104,371,263,
752,646,399,798,866,634,172,106,183,560,724,022,923,464,395,956,658,123,222,
935,446,998,961,079,248,467,447,759,005,889,619,065,492,000,453,603,254,853,
536,762,554,208,415,034,732,725,135,387,717,453,226,265,403,905,335,814,838,
867,005,393,961,451,872,504,849,387,644,878,311,473,592,701,330,543,682,331,
112,293,755,486,364,969,186,002,591,167,130,564,238,492,012,591,893,992,190,
710,566,365,815,181,209,924,776,595,831,000,024,859,599,479,315,813,234,602,
022,695,710,755,135,600,189,045,372,467,179,005,428,514,339,742,915,535,301,
301,710,367,159,874,539,421,569,475,792,318,997,468,928,126,102,089,065,616,
504,142,302,482,446,813,007,406,695,871,341,995,846,862,211,475,831,047,255,
568,339,888,582,288,209,884,150,867,319,237,542,977,264,424,652,302,632,719,
969,713,884,421,935,019,382,927,803,473,198,760,171,817,009,257,424,927,039,
451,144,133,883,651,861,534,859,020,112,034,586,256,565,950,642,562,368,318,
527,396,125,452,946,689,683,613,195,256,626,499,980,073,732,876,100,161,952,
583,288,146,894,142,118,807,996,264,706,912,792,864,586,132,580,478,014,204,
279,103,333,033,682,963,952,959,650,155,983,305,985,690,965,500,199,945,119,
692,488,510,076,534,192,180,560,278,600,127,550,854,416,692,581,949,302,950,
996,911,968,282,248,014,809,446,310,571,602,886,235,479,122,080,960,475,141,
392,776,190,336,938,991,208,890,473,578,858,419,647,835,406,278,263,288,687,
227,268,506,194,950,623,302,489,918,562,601,791,852,950,803,768,593,868,092,
652,000,885,099,954,551,559,061,175,436,976,529,315,161,157,815,363,835,255,
569,854,691,862,909,563,097,467,328,700,663,512,181,865,050,961,987,143,140,
914,979,549,626,965,669,952,562,876,378,682,745,357,747,352,324,208,266,974,
283,637,646,272,781,260,916,045,116,397,258,572,589,000,021,162,047,980,793,
093,138,948,172,857,100,333,543,788,496,585,627,099,560,378,466,962,147,457,
581,480,084,736,205,985,852,367,151,722,864,879,584,289,268,067,164,332,988,
574,461,276,476,490,662,064,150,269,273,904,177,557,833,356,184,643,509,212,
519,244,140,756,581,555,486,844,187,649,447,738,242,080,140,024,969,298,981,
135,707,298,063,101,948,977,444,644,661,816,818,297,210,089,634,614,237,366,
368,284,007,409,456,960,611,444,036,628,226,783,291,657,918,242,104,156,629,
909,441,788,867,265,850,144,865,337,006,656,415,854,943,412,470,269,324,279,
989,879,566,355,951,458,108,748,686,568,667,842,492,245,939,120,867,306,037,
680,119,779,913,147,547,129,930,892,218,357,638,307,020,893,707,900,554,719,
376,445,680,574,390,861,009,390,528,642,587,824,356,914,036,416,300,065,652,
634,406,261,392,337,483,987,647,869,145,373,045,615,982,685,417,225,508,501,
602,559,278,181,606,568,844,045,205,033,604,117,726,205,480,044,572,327,638,
150,820,093,258,383,240,769,208,040,227,637,065,714,105,219,419,891,837,462,
380,396,537,143,179,311,983,614,500,237,001,695,173,042,001,239,956,649,021,
932,547,363,939,292,193,409,659,394,721,658,580,460,891,604,358,740,480,731,
981,636,545,488,098,504,967,650,012,443,294,551,356,520,156,016,166,335,468,
806,163,312,842,818,572,039,231,117,498,793,914,415,295,280,619,183,685,554,
376,697,275,041,640,707,530,279,105,792,481,339,950,944,043,527,650,498,231,
761,505,115,104,321,411,988,101,940,521,123,681,581,636,914,127,721,329,573,
725,475,550,018,699,055,440,042,544,452,443,189,488,957,142,917,437,042,745,
925,503,008,372,247,594,612,318,679,906,606,168,240,973,670,063,728,734,537,
325,509,866,437,030,640,368,904,444,378,229,213,176,419,305,508,947,453,767,
215,103,704,777,482,264,739,748,391,283,912,312,109,940,441,033,065,748,925,
292,929,862,781,945,973,469,772,348,121,636,839,383,961,115,315,023,825,082,
438,225,396,225,154,952,269,913,667,808,853,123,160,479,565,355,610,934,060,
749,610,666,381,372,852,817,751,895,612,251,798,882,444,452,381,202,274,618,
505,637,048,969,141,857,746,826,631,203,872,418,605,540,953,606,635,819,780,
396,957,713,136,852,640,341,971,376,328,039,023,987,360,311,797,233,670,640,
461,552,332,919,228,732,948,543,748,992,009,644,730,826,165,322,887,893,644,
952,835,958,185,292,740,064,812,631,750,899,248,436,222,072,313,838,539,422,
779,064,744,833,401,396,169,903,173,553,808,250,131,004,643,590,544,957,933,
764,631,466,168,770,781,332,103,239,009,119,458,589,866,697,716,783,684,938,
964,623,747,199,205,053,632,932,311,504,109,601,940,013,783,289,135,021,116,
069,193,764,024,871,394,922,475,767,382,848,960,928,719,964,651,350,746,581,
102,327,242,415,442,779,447,449,105,585,297,763,363,261,830,280,846,700,232,
892,577,283,435,566,012,620,308,724,359,764,656,321,921,376,278,117,895,908,
829,418,554,948,762,635,548,567,655,308,452,607,881,252,059,435,985,463,013,
032,007,809,342,038,891,563,842,083,881,374,993,487,158,799,342,495,086,375,
589,595,717,065,708,059,566,519,983,743,307,967,225,063,903,466,552,553,837,
264,703,431,054,766,323,299,074,981,306,560,588,247,376,699,494,192,210,888,
806,089,050,222,859,143,191,500,817,043,777,418,753,057,607,628,879,618,612,
089,060,655,676,375,823,029,643,733,016,761,425,075,514,503,279,158,289,775,
705,195,777,118,596,707,195,853,346,761,989,021,616,827,358,046,970,312,989,
928,583,288,997,307,590,796,200,135,991,149,376,919,763,244,156,355,652,006,
254,911,273,400,308,286,704,689,642,965,942,395,014,444,407,035,673,519,204,
705,428,089,059,236,965,991,532,779,767,636,411,837,102,648,508,813,380,454,
267,107,343,165,327,769,531,961,620,095,865,134,588,423,581,138,559,419,112,
245,864,208,249,085,575,610,758,595,986,836,312,125,446,831,616,318,071,162,
291,132,424,415,970,579,438,100,006,759,733,214,672,087,824,894,612,918,675,
091,485,791,117,052,907,395,623,649,838,468,552,267,864,491,824,937,128,149,
334,736,869,613,030,501,967,498,051,631,361,251,306,614,383,009,568,371,936,
359,857,468,169,920,814,225,078,350,161,707,946,883,614,003,228,957,457,952,
867,341,003,066,337,341,288,811,952,792,540,337,840,358,208,085,740,937,609,
512,569,073,387,635,000,307,688,551,369,814,648,638,550,033,831,119,822,836,
423,720,519,356,821,660,016,811,591,898,585,015,940,540,803,204,889,480,648,
421,028,826,792,663,992,049,909,279,635,288,757,595,639,803,948,274,222,677,
215,262,548,276,320,534,129,718,395,078,639,241,768,224,361,047,272,620,669,
091,627,203,906,225,363,610,155,952,208,971,762,737,818,105,071,394,533,863,
383,414,798,842,189,467,576,060,278,026,179,646,164,951,517,037,507,700,402,
393,662,932,789,046,975,739,991,448,892,213,083,326,016,447,973,026,409,581,
211,171,168,616,581,708,238,884,871,642,687,566,788,523,045,855,427,153,751,
867,565,619,244,348,599,834,566,454,761,103,715,503,576,833,077,603,291,349,
679,727,501,805,830,036,235,378,637,144,187,734,614,991,018,026,253,641,090,
413,837,431,442,322,528,015,009,508,361,842,204,778,125,199,521,774,993,797,
993,397,067,092,078,556,761,243,370,743,878,865,980,692,668,515,774,014,273,
844,401,122,711,566,941,518,462,224,825,567,268,876,761,446,768,146,987,287,
269,965,313,226,680,250,653,270,999,937,267,511,780,317,563,923,492,231,750,
332,733,903,570,851,050,907,647,601,672,249,680,148,119,011,105,474,040,153,
315,678,316,344,338,217,659,160,117,838,737,924,261,652,069,108,359,998,858,
962,229,934,243,458,051,216,332,554,839,679,258,724,045,854,608,079,893,448,
635,546,012,751,612,925,495,841,098,450,274,866,754,632,786,128,439,121,207,
541,705,230,353,337,230,356,672,349,402,463,453,382,271,804,057,519,098,996,
003,236,828,295,450,145,379,872,467,144,184,562,752,292,430,061,018,407,097,
847,309,877,504,594,119,936,721,257,432,772,783,114,680,892,415,311,567,550,
850,758,130,897,620,248,598,971,634,513,034,661,692,315,091,396,101,250,110,
776,767,873,096,303,443,004,092,041,359,061,172,541,123,508,037,444,542,454,
043,183,107,577,618,702,035,595,240,534,462,863,148,264,428,469,675,093,853,
890,553,471,907,999,976,562,719,554,321,015,045,486,368,531,559,371,671,665,
617,449,100,535,472,722,100,828,231,825,051,892,202,894,132,609,325,269,316,
604,060,607,698,449,194,773,680,565,803,764,142,530,318,111,832,908,801,602,
150,769,033,659,572,320,949,801,809,429,565,735,744,992,568,287,753,972,946,
282,804,817,634,388,339,062,882,952,139,572,187,707,447,714,614,090,832,816,
984,729,538,728,983,614,464,618,883,248,834,711,074,433,224,124,224,498,018,
116,622,058,744,238,886,900,555,075,744,901,304,887,932,407,488,508,664,017,
437,355,848,299,225,771,757,403,831,552,919,222,811,303,570,926,758,809,094,
053,372,506,896,234,911,907,756,377,528,182,739,405,370,249,382,496,850,270,
542,544,984,731,412,688,654,386,596,009,990,095,580,165,231,188,982,590,527,
788,389,387,184,330,030,865,217,959,438,476,418,122,523,401,095,538,954,478,
597,161,691,638,394,612,345,560,467,445,930,198,790,644,440,082,745,361,441,
030,807,027,685,933,277,823,644,406,742,769,933,409,581,537,658,730,799,287,
144,916,064,935,152,588,151,064,815,324,125,080,648,219,837,549,126,930,009,
593,222,012,723,483,385,183,829,483,272,629,351,702,926,179,728,721,710,800,
399,368,136,338,626,690,790,863,164,396,609,686,628,535,123,669,797,147,669,
497,169,049,458,494,262,821,775,751,559,497,415,470,091,844,611,620,261,289,
534,009,200,084,750,315,610,651,531,021,805,174,507,446,825,388,453,350,804,
290,539,966,422,605,166,313,431,001,907,180,904,107,044,770,627,228,429,340,
511,447,472,398,067,942,242,728,380,116,370,565,648,049,496,263,409,811,243,
935,220,418,354,411,307,057,732,018,160,740,075,443,612,831,921,927,824,325,
299,077,524,496,197,491,638,705,187,033,173,866,517,485,172,448,967,622,139,
844,048,422,669,694,632,738,742,002,803,058,922,363,773,873,153,451,019,550,
007,974,975,444,668,679,437,193,671,305,342,134,469,633,010,611,734,536,506,
746,864,831,032,924,755,236,312,783,549,763,312,417,062,081,113,071,285,517,
505,716,053,849,170,299,739,829,095,742,773,844,554,300,410,313,888,629,575,
841,908,653,994,988,915,884,865,717,332,444,147,055,780,104,909,723,906,749,
987,855,529,457,068,651,105,429,864,127,713,772,051,063,197,540,707,324,102,
957,691,438,680,225,337,046,596,030,279,800,815,498,746,796,752,507,489,059,
383,254,504,350,953,355,179,470,412,899,508,271,056,079,473,024,316,974,255,
855,180,035,513,749,928,746,229,902,160,017,725,132,404,201,589,978,953,772,
884,541,063,044,909,209,317,150,477,399,280,782,720,478,494,940,740,980,883,
590,951,169,033,224,646,130,544,080,667,935,330,010,936,332,386,746,328,735,
459,830,922,690,979,771,702,341,845,795,890,594,773,928,567,510,113,487,764,
523,117,740,282,876,050,878,281,695,782,349,781,359,142,270,770,767,586,816,
825,990,440,289,296,431,571,077,719,513,723,303,150,457,746,310,792,953,700,
324,164,191,898,951,268,438,554,634,847,756,954,132,889,437,778,211,835,965,
094,918,090,905,827,826,311,764,030,666,817,919,006,960,121,615,742,725,440,
997,833,307,859,655,399,736,901,836,262,272,257,182,382,450,595,666,991,469,
969,649,453,048,896,726,490,108,475,885,391,527,840,507,372,087,399,430,260,
046,458,240,429,901,893,718,352,612,445,235,216,256,236,196,828,248,971,679,
277,351,285,283,914,792,215,739,216,114,050,057,299,048,892,356,666,719,405,
505,138,002,494,050,503,215,414,126,997,264,456,443,180,166,796,675,745,320,
640,228,313,671,700,207,443,907,371,625,063,698,781,529,253,202,585,032,809,
879,494,117,083,986,185,521,717,548,888,398,690,179,362,883,767,332,632,147,
181,206,654,944,352,790,240,446,116,882,224,011,855,185,711,995,358,872,911,
473,557,493,369,386,380,418,931,461,097,532,368,443,590,939,298,977,029,005,
012,585,894,960,743,430,616,359,260,232,535,907,910,588,707,486,863,737,545,
861,065,326,509,598,035,253,094,506,315,569,797,232,637,765,532,746,740,687,
969,534,712,174,844,928,046,162,517,189,466,841,744,643,846,513,481,751,390,
454,000,711,324,343,719,853,232,781,407,869,511,096,712,181,726,939,534,587,
295,830,981,260,604,412,877,250,920,905,991,933,621,830,579,045,981,156,765,
720,524,125,833,845,786,906,049,910,057,768,039,670,582,910,295,856,165,887,
330,226,622,618,467,034,497,177,054,571,469,759,170,808,443,054,390,004,178,
671,561,282,947,329,467,794,473,295,966,105,483,419,009,443,975,390,058,869,
220,089,800,557,690,163,597,282,100,806,423,582,008,291,698,717,334,337,760,
156,213,303,845,986,894,567,578,352,850,652,814,128,458,146,341,007,610,445,
821,322,159,000,612,877,699,386,889,455,712,350,254,130,232,873,234,549,142,
409,803,467,291,213,029,762,745,028,354,063,429,573,320,261,152,194,898,385,
012,792,877,770,405,078,959,903,753,352,286,110,444,550,068,918,536,853,724,
158,379,578,583,391,406,233,248,181,491,570,912,305,905,688,586,840,839,798,
075,224,057,135,011,367,564,674,405,180,750,381,850,838,526,672,062,866,722,
304,921,387,822,993,791,552,586,639,712,266,369,337,935,808,469,676,766,558,
395,227,332,326,376,578,040,852,996,760,136,273,402,834,480,664,808,837,501,
105,449,473,930,828,191,506,368,120,226,419,466,642,134,446,801,492,829,089,
408,400,110,989,424,360,552,236,345,418,469,555,749,404,812,455,005,081,713,
655,623,456,589,446,526,121,016,281,713,287,079,860,867,033,992,691,010,071,
330,245,453,841,839,554,424,142,416,994,717,978,811,028,659,572,086,876,652,
625,197,337,190,430,155,937,928,021,876,969,744,031,011,081,513,647,849,962,
954,634,241,099,567,917,521,216,988,436,159,980,007,265,601,682,823,964,252,
741,028,355,070,564,934,008,400,414,322,576,435,696,132,241,502,379,929,281,
140,266,046,598,824,320,574,831,258,827,024,724,376,188,575,643,323,984,281,
159,354,218,359,397,907,304,362,475,425,668,690,077,528,842,285,908,348,469,
747,829,348,568,432,967,015,498,445,559,560,797,194,325,637,706,863,367,624,
523,817,281,435,162,912,771,514,421,396,509,508,603,988,032,006,241,170,701,
312,887,027,908,576,318,028,041,396,229,161,608,444,247,161,118,798,874,103,
792,762,761,356,419,449,477,519,162,741,854,849,165,625,617,711,810,048,335,
864,036,255,735,441,502,442,491,786,136,325,055,667,466,168,729,662,093,758,
341,902,362,997,237,801,903,248,025,791,189,131,969,877,574,100,022,954,526,
923,701,317,011,073,391,360,132,356,643,805,882,294,727,269,178,586,718,843,
602,532,280,231,630,729,292,316,562,217,677,827,799,696,064,848,441,701,084,
159,443,897,803,576,423,236,772,081,067,849,264,685,173,883,752,459,645,553,
869,548,878,058,402,365,155,414,380,339,165,531,556,223,905,101,531,280,409,
522,721,823,629,723,978,619,017,427,990,898,521,990,144,211,675,760,574,727,
798,481,991,592,813,089,447,087,622,700,563,306,510,557,612,505,083,274,856,
139,043,386,754,670,327,564,568,580,729,383,476,816,227,360,015,219,496,065,
241,185,061,613,696,655,303,335,936,785,571,482,068,293,869,494,925,978,786,
168,680,174,588,021,554,207,700,835,641,797,954,550,023,139,088,451,809,280,
691,022,798,649,710,333,589,007,970,775,109,543,860,830,492,794,596,995,214,
913,226,858,068,137,264,554,925,049,767,341,611,122,506,452,895,872,464,712,
862,002,455,520,273,634,417,935,481,237,986,397,923,365,551,287,703,496,385,
854,180,833,471,074,899,730,654,206,539,178,693,242,526,667,479,639,782,927,
011,662,063,486,258,222,257,112,577,105,896,565,951,002,191,417,429,340,318,
949,100,885,660,006,914,917,926,643,043,316,283,897,066,316,424,657,598,747,
574,966,869,738,012,453,791,126,224,182,155,231,659,219,559,015,898,054,411,
079,580,778,705,108,547,720,158,948,867,062,070,055,645,664,387,164,705,884,
432,800,426,000,938,391,584,196,979,284,929,912,437,153,444,916,275,844,988,
785,044,515,087,645,967,581,958,988,510,263,587,650,797,881,758,486,775,727,
576,575,465,062,157,388,238,854,312,380,375,984,923,107,053,636,861,594,156,
018,583,207,500,191,426,882,756,331,090,368,023,367,210,022,114,617,015,946,
023,467,211,207,658,810,384,564,856,054,714,157,585,265,950,635,977,530,638,
058,494,771,429,881,266,397,277,502,026,082,526,930,874,447,923,874,832,862,
637,001,732,443,523,554,630,570,976,934,870,175,773,716,645,508,932,199,733,
284,173,497,017,338,284,652,645,705,773,717,194,574,175,755,378,518,617,372,
762,190,670,423,729,105,429,252,158,792,333,545,643,806,081,009,569,797,290,
948,457,219,346,192,410,410,945,449,017,757,078,178,309,776,917,866,285,470,
652,189,200,640,514,934,675,647,664,769,587,667,331,509,324,088,369,950,657,
498,620,086,921,487,998,470,937,881,067,832,141,115,594,885,898,910,341,931,
551,994,850,568,613,521,654,045,611,968,259,440,048,245,093,201,529,758,092,
171,123,828,732,621,568,765,925,939,302,631,489,976,882,946,223,560,268,197,
117,230,390,537,781,287,895,886,992,941,519,357,964,526,742,462,608,738,873,
819,987,880,451,950,355,819,018,928,545,944,397,786,113,387,746,217,118,536,
158,791,093,629,335,334,536,620,835,071,691,112,903,411,053,751,169,554,652,
604,722,589,233,360,043,200,331,868,302,004,801,353,236,486,019,820,057,939,
487,954,307,056,607,384,656,583,654,666,632,094,426,543,664,150,933,330,088,
802,660,577,794,622,895,938,783,476,477,698,769,478,813,971,043,901,174,880,
594,488,017,157,878,153,303,654,793,440,015,917,643,569,260,753,683,536,396,
826,137,521,618,124,845,846,726,870,952,889,921,796,532,882,014,000,394,679,
742,598,467,597,418,789,239,903,823,308,135,715,373,619,024,480,634,356,210,
430,062,705,899,323,139,471,365,120,363,569,823,185,935,315,807,914,401,513,
687,532,686,516,027,746,777,933,659,687,452,455,125,133,015,134,970,056,087,
565,332,854,287,267,968,665,620,217,274,896,020,120,276,003,051,934,925,263,
966,153,653,960,664,885,096,696,368,385,975,604,154,693,307,470,922,727,342,
211,251,461,297,781,629,087,854,132,323,277,056,439,989,909,933,686,682,790,
622,757,094,572,724,089,057,064,451,011,332,398,031,326,337,842,803,414,256,
430,982,651,093,829,704,299,518,158,855,810,093,968,646,146,551,225,769,295,
165,811,362,132,052,603,561,198,053,403,350,268,580,975,033,511,805,981,364,
370,282,687,899,190,833,732,869,128,930,465,671,111,886,982,381,289,136,036,
067,572,249,070,301,351,315,536,132,683,523,547,644,820,301,391,792,326,058,
531,992,893,874,910,591,269,171,935,867,634,212,679,208,579,093,001,942,364,
631,359,839,028,787,946,674,388,367,953,207,949,626,083,799,580,379,614,728,
686,270,927,941,831,835,742,512,938,837,401,043,473,707,325,009,813,736,666,
745,545,322,821,011,102,647,951,103,119,201,525,929,288,621,921,651,763,453,
947,048,923,360,125,662,031,050,231,868,691,773,966,389,479,380,283,087,488,
302,295,252,606,170,089,185,687,182,462,881,371,789,017,462,083,918,991,876,
183,777,179,802,970,506,339,027,178,507,306,912,668,896,249,048,401,918,950,
050,901,326,118,473,265,202,852,414,215,695,489,300,036,765,335,392,151,215,
290,902,534,903,700,166,455,046,863,100,531,037,527,153,107,346,713,326,066,
455,371,570,567,466,792,091,788,297,810,387,858,548,832,881,142,849,767,034,
757,972,925,292,772,520,745,138,594,387,322,527,496,567,730,173,776,399,740,
089,142,939,913,501,675,663,151,401,749,519,308,000,063,562,632,850,688,986,
479,482,198,388,959,804,453,259,509,017,098,042,059,605,667,871,667,377,643,
539,942,097,117,113,754,615,429,577,601,391,569,447,358,225,770,802,937,979,
076,730,083,787,663,469,464,984,342,116,597,584,652,616,765,976,814,874,562,
912,197,030,349,489,206,217,317,151,567,908,630,486,582,807,851,927,621,901,
065,297,726,207,260,567,613,816,400,303,591,917,113,415,999,560,414,105,345,
696,176,802,503,446,624,176,500,565,706,681,000,611,199,760,542,465,951,152,
472,089,462,893,417,520,344,889,924,596,820,863,082,016,035,306,293,870,284,
835,585,852,876,983,475,161,269,086,284,337,047,961,117,930,640,591,707,045,
758,453,629,787,669,164,621,405,554,483,361,110,766,863,477,167,573,765,125,
220,128,252,300,394,817,773,299,232,173,783,255,168,122,714,644,964,842,307,
302,627,572,439,171,794,929,826,829,009,302,257,330,979,888,108,497,122,649,
156,501,515,662,625,871,783,211,944,020,307,199,332,426,891,645,435,993,955,
017,290,521,902,861,126,150,460,332,193,331,406,007,456,676,961,299,270,237,
224,332,045,697,159,418,083,182,487,621,061,817,264,576,959,625,953,575,685,
379,075,360,023,390,392,128,500,482,721,494,692,082,195,241,576,195,619,574,
533,115,625,350,309,559,913,768,447,933,422,095,616,003,736,446,364,017,423,
209,277,403,984,515,877,703,545,559,662,483,480,517,783,680,889,510,782,477,
089,735,119,625,308,217,066,443,272,073,431,405,378,958,241,393,559,531,213,
915,824,251,482,431,293,178,805,717,255,276,331,239,290,586,618,397,370,378,
290,543,588,491,779,770,525,452,297,704,478,698,348,146,301,852,687,320,475,
630,524,247,514,630,875,123,760,233,914,702,163,592,443,448,925,175,137,629,
981,529,983,885,502,060,399,030,776,634,848,559,136,365,480,496,789,909,324,
286,544,033,682,633,214,038,207,458,842,443,523,951,589,668,047,876,815,884,
944,224,944,844,446,014,823,377,490,942,939,995,826,436,497,646,675,443,947,
514,422,439,832,484,306,993,130,106,938,757,281,939,518,378,545,685,216,167,
541,096,500,584,597,266,498,665,785,644,846,230,569,586,412,505,936,986,850,
991,225,046,690,211,290,348,452,935,202,324,311,468,995,578,229,184,061,642,
414,423,092,865,069,992,925,571,741,166,871,672,536,350,332,810,924,119,556,
140,648,085,740,655,772,331,192,897,461,500,750,247,554,097,144,004,205,936,
112,283,155,451,100,035,090,374,956,338,292,287,765,887,539,936,929,874,586,
393,741,299,889,051,948,481,037,779,227,075,450,604,930,819,143,813,849,465,
966,630,760,212,261,519,165,114,012,080,646,044,162,345,303,526,524,482,346,
458,818,855,424,887,105,137,225,412,756,270,323,445,135,273,133,657,320,943,
014,982,590,378,219,012,516,474,043,988,907,797,183,201,686,033,603,505,816,
532,517,815,689,301,216,500,838,814,938,576,158,231,463,567,512,101,773,329,
970,928,762,304,879,590,340,949,365,246,931,475,573,769,791,698,876,574,340,
770,536,323,888,280,223,520,280,188,745,386,204,865,208,829,137,003,383,482,
067,792,083,484,985,979,797,813,902,833,453,253,986,432,632,842,072,396,104,
345,666,092,515,684,535,148,361,020,781,537,985,503,505,072,100,891,503,399,
636,286,581,593,656,911,023,657,998,164,268,875,923,508,256,057,877,412,268,
075,881,674,907,246,174,633,956,518,922,993,183,802,840,668,676,105,026,423,
599,953,637,819,964,018,001,801,219,037,120,531,675,707,474,939,193,444,867,
960,225,996,424,563,957,797,361,876,516,861,854,819,450,607,568,339,617,975,
696,635,787,616,100,794,685,017,472,546,405,337,558,299,107,498,743,524,243,
864,242,872,161,573,288,717,569,269,211,159,694,141,952,623,068,369,170,952,
391,259,425,108,114,343,327,811,918,776,449,984,518,209,897,585,647,940,172,
116,616,885,171,077,133,630,443,046,802,854,774,945,280,297,870,424,701,754,
757,951,772,994,943,122,965,352,868,867,416,278,440,076,990,658,399,176,420,
205,274,674,751,902,193,040,751,635,202,380,080,119,775,321,924,886,787,823,
886,323,662,660,496,048,813,164,057,704,541,269,679,754,479,861,567,271,327,
763,685,605,393,625,013,541,069,747,344,191,521,192,895,963,089,168,563,531,
146,858,157,433,783,746,587,762,062,653,798,767,305,935,326,283,282,864,385,
853,768,383,960,523,532,868,148,691,936,179,439,933,545,140,761,519,152,456,
461,268,130,413,724,071,858,805,878,297,212,650,870,833,480,968,675,444,592,
171,415,342,102,203,752,398,977,950,610,334,307,473,335,440,343,212,044,970,
687,586,316,673,508,968,847,863,559,408,815,404,799,113,254,025,631,482,407,
262,192,685,647,319,791,186,572,810,531,707,150,893,328,490,021,165,760,040,
662,107,407,630,313,079,284,531,819,260,775,426,507,781,926,617,569,183,055,
223,687,638,767,411,504,003,290,707,292,711,104,101,413,758,587,704,091,723,
101,873,448,182,340,397,997,383,745,755,152,919,317,004,860,830,714,211,563,
393,011,966,640,694,935,582,311,242,037,384,612,040,288,309,967,665,471,488,
907,525,055,255,846,496,894,959,196,810,131,983,934,980,101,030,693,467,278,
898,515,959,201,761,101,580,653,180,455,851,520,012,293,792,204,350,988,307,
075,395,145,307,950,313,199,063,586,493,810,907,545,851,131,291,203,545,004,
565,439,699,745,413,564,352,015,078,115,842,881,869,496,891,483,154,048,528,
524,558,960,328,261,955,897,681,126,687,346,806,285,556,046,938,432,423,414,
815,495,530,166,496,612,362,216,705,845,359,479,696,554,143,682,616,527,770,
992,383,141,480,140,170,980,645,925,547,436,104,752,713,061,346,780,540,538,
663,111,056,218,253,921,061,701,885,591,816,905,098,526,138,297,019,151,551,
955,992,220,480,084,556,726,321,628,883,053,330,452,616,618,584,634,375,518,
498,794,477,273,426,885,940,062,290,035,248,477,025,096,693,409,942,103,284,
136,241,087,053,858,432,770,415,266,603,799,088,000,642,304,905,110,770,365,
391,373,468,504,447,298,634,201,301,943,404,403,094,897,559,158,955,187,185,
568,906,652,532,387,978,219,851,240,854,982,168,700,707,555,367,595,245,803,
669,250,554,993,368,568,189,222,995,177,703,985,392,933,489,459,436,340,117,
273,432,668,267,759,074,190,174,234,435,184,291,670,308,044,692,489,619,532,
129,161,658,967,564,430,917,537,432,333,714,005,554,147,401,428,092,868,761,
238,135,121,737,174,331,368,405,835,277,442,118,155,428,729,600,276,941,732,
920,889,436,783,361,144,025,654,146,762,545,502,667,788,953,680,054,999,136,
885,602,288,358,962,586,145,616,445,142,545,238,262,252,146,555,285,934,868,
217,745,946,885,193,609,666,617,523,503,432,347,924,890,907,078,281,372,167,
513,512,408,863,839,696,076,963,632,635,068,547,940,225,302,153,469,983,397,
118,477,289,162,384,430,101,105,640,023,189,713,022,917,930,795,314,786,376,
896,235,566,990,356,404,211,917,025,159,287,513,029,257,374,753,044,178,139,
877,141,890,336,523,279,422,035,853,269,012,422,140,909,348,984,061,327,505,
521,141,688,388,479,479,247,882,134,607,582,114,548,842,762,999,406,554,633,
381,901,459,230,246,334,348,580,564,036,876,611,385,008,015,138,740,971,843,
861,635,070,793,520,215,582,389,958,278,921,264,702,454,071,919,891,542,987,
447,018,059,619,433,502,509,864,893,900,934,232,055,286,713,238,951,954,923,
729,049,421,463,787,342,571,155,378,762,664,462,536,965,598,244,016,436,638,
879,883,344,228,079,812,809,553,988,358,035,949,518,279,530,972,574,773,107,
161,278,184,604,347,963,060,993,427,331,637,934,424,694,206,220,715,686,228,
537,098,783,216,136,972,336,528,868,309,282,694,051,035,112,735,289,435,116,
536,734,449,270,713,720,290,095,275,470,603,764,119,509,080,775,915,409,296,
561,000,734,644,706,870,286,525,372,887,453,705,609,154,979,006,265,962,873,
212,115,431,264,725,874,153,898,838,870,837,280,214,046,046,653,292,225,071,
829,828,606,362,305,013,596,718,460,543,843,023,451,097,964,870,130,075,728,
960,390,399,451,530,644,691,489,600,340,578,223,888,496,956,689,760,020,748,
381,934,546,497,365,267,242,971,822,668,595,686,878,300,337,614,068,987,092,
329,431,855,738,632,153,735,274,711,715,107,260,122,304,144,310,982,317,496,
987,883,045,059,846,782,415,888,148,701,386,776,448,634,990,283,279,072,326,
118,089,274,028,825,026,109,483,190,578,943,927,680,737,729,254,143,589,449,
574,059,217,334,551,158,047,702,724,788,092,125,549,158,999,896,710,996,222,
895,542,133,017,908,468,648,827,742,573,508,624,767,969,725,647,325,249,468,
427,729,897,968,413,512,155,576,465,076,887,809,764,459,196,033,179,666,536,
642,891,255,646,990,009,313,153,576,184,910,246,177,062,522,840,693,655,334,
521,279,098,041,690,726,764,277,611,297,636,904,324,961,968,240,411,281,261,
434,477,660,513,585,283,822,978,566,524,359,344,517,482,435,926,074,680,770,
548,123,629,531,462,953,634,409,125,903,406,790,393,174,228,982,536,216,376,
168,160,080,381,168,988,102,160,148,732,608,144,911,867,485,937,588,340,774,
295,981,290,426,876,415,243,466,249,796,661,602,364,812,138,983,375,375,186,
813,909,033,429,409,088,999,965,907,528,384,479,068,350,675,566,376,042,553,
115,426,934,148,487,908,253,871,735,614,104,812,860,508,892,716,330,117,313,
217,106,796,621,710,097,590,934,456,097,741,093,426,629,485,339,580,443,489,
059,180,358,062,588,475,637,722,573,493,358,284,694,764,427,785,123,504,944,
808,848,749,128,427,812,485,802,561,861,132,898,566,801,726,629,507,660,114,
217,202,865,975,610,565,615,365,070,738,003,981,809,030,861,500,993,816,669,
562,269,650,117,609,300,467,616,187,995,608,833,867,939,417,146,874,500,309,
176,637,233,288,493,660,146,221,996,602,721,696,811,953,400,049,408,871,496,
955,125,057,325,720,856,568,073,609,265,776,196,985,624,211,349,395,417,555,
802,640,970,075,567,859,800,818,449,994,862,505,756,349,781,279,969,290,927,
872,772,122,152,835,212,183,060,701,451,260,941,866,185,133,164,139,631,623,
275,078,109,194,499,829,146,857,522,076,231,893,398,505,182,164,777,252,167,
350,973,517,772,974,310,977,891,347,193,728,554,058,374,375,277,185,195,896,
530,505,188,597,347,068,180,741,992,473,850,285,765,235,049,916,677,976,906,
984,032,490,968,379,795,561,241,675,671,237,712,097,432,825,273,987,092,882,
519,265,054,095,653,119,209,493,507,057,828,482,190,648,240,478,782,720,429,
717,425,558,627,826,893,856,696,962,562,113,712,769,266,085,088,651,733,613,
697,462,405,485,801,262,461,824,026,354,280,971,622,523,665,340,746,655,546,
661,871,499,621,918,588,263,117,902,653,072,865,127,592,756,932,569,653,939,
364,518,520,714,664,766,340,906,593,277,185,238,653,753,155,151,285,283,299,
948,011,818,441,036,870,772,656,368,737,684,539,239,457,730,786,176,378,829,
247,180,481,825,743,229,264,173,499,815,858,927,487,896,130,722,348,586,731,
450,729,065,854,469,522,075,169,052,347,135,211,680,760,040,967,479,618,821,
756,054,036,425,650,513,131,168,271,721,062,393,496,038,765,307,592,099,500,
905,129,233,486,784,814,263,725,762,157,666,108,330,975,933,420,658,455,289,
298,101,292,333,487,854,398,142,199,532,800,875,238,855,435,079,326,271,423,
022,802,431,812,331,755,806,820,676,905,993,982,827,763,834,653,438,169,237,
025,592,276,297,799,753,169,832,705,314,553,093,754,443,303,076,500,991,788,
189,354,354,389,164,059,508,913,098,730,601,508,029,831,298,341,516,070,393,
152,268,889,396,747,104,438,655,331,398,813,007,797,533,289,377,389,776,475,
496,798,854,830,462,080,792,993,142,260,824,833,748,985,574,476,647,179,528,
639,451,049,940,256,116,679,645,767,921,453,618,468,309,275,162,969,591,900,
691,443,628,719,717,505,474,031,786,488,216,882,096,386,571,147,249,590,393,
392,398,307,542,766,394,589,669,861,390,572,811,554,828,048,343,418,419,325,
980,408,526,062,891,056,608,945,665,761,505,124,067,758,807,691,504,333,189,
539,133,765,787,109,620,872,124,775,595,569,804,040,081,951,464,803,998,997,
217,767,586,996,820,856,690,523,473,819,297,291,791,307,806,839,369,004,895,
242,564,027,887,614,113,523,662,561,009,600,501,100,826,225,094,762,485,142,
127,492,493,188,090,001,408,704,597,031,667,742,094,958,808,784,132,632,557,
647,071,610,625,059,937,660,152,086,439,956,636,748,398,154,097,688,987,450,
495,329,443,475,853,062,051,331,636,768,011,567,778,690,307,168,084,568,089,
081,891,652,282,782,428,425,456,098,166,670,541,586,841,262,816,773,239,257,
641,718,729,584,855,878,628,420,443,826,528,696,565,797,102,075,233,820,545,
472,327,439,483,859,324,972,365,129,972,462,718,202,810,844,484,182,605,431,
815,052,870,203,168,793,634,364,307,615,520,760,074,652,650,359,249,911,119,
636,683,759,447,469,699,445,311,946,737,393,175,657,490,008,822,440,081,309,
594,247,137,762,734,921,285,030,940,868,261,982,189,001,224,814,690,683,634,
082,535,223,952,820,296,503,310,072,489,805,348,882,947,154,203,372,315,075,
101,387,814,105,484,999,704,377,477,707,859,031,196,615,454,898,985,737,440,
034,405,460,049,940,126,291,054,671,431,798,680,145,520,727,349,581,709,604,
208,968,383,398,487,538,688,961,910,387,458,141,176,066,028,888,044,781,257,
553,913,876,864,088,065,856,476,587,085,624,357,286,017,071,612,599,243,523,
243,070,961,779,149,184,960,500,184,735,881,343,395,975,166,789,503,548,968,
430,295,999,770,918,629,445,884,184,878,320,932,624,696,345,503,960,510,035,
174,877,577,252,417,422,795,254,732,057,824,699,337,418,255,421,219,829,251,
715,897,961,184,259,861,011,445,466,416,514,236,886,346,843,074,455,302,922,
947,756,576,705,648,728,663,559,254,136,014,186,039,077,358,886,312,513,537,
383,094,667,366,731,427,468,264,437,964,234,498,958,349,275,337,329,379,706,
458,181,067,822,493,747,156,031,122,082,510,953,577,424,374,051,649,969,594,
752,846,669,518,537,535,986,868,021,119,254,047,097,883,959,858,935,018,221,
474,232,712,840,564,653,493,916,617,364,338,404,732,993,390,442,402,102,158,
468,301,655,154,599,936,441,544,423,185,401,746,381,085,775,835,934,364,957,
496,099,926,511,399,338,447,229,896,723,079,042,458,214,807,792,204,651,868,
139,417,941,081,566,930,443,934,709,029,008,527,631,977,270,078,524,678,936,
061,439,626,207,380,428,030,392,631,899,724,557,043,344,289,343,963,600,703,
300,332,477,352,212,432,772,918,581,735,801,445,724,694,990,486,386,775,387,
112,839,058,012,236,642,370,397,775,981,321,647,664,958,418,782,502,936,761,
843,711,603,503,046,702,722,254,213,640,400,546,441,605,021,958,170,691,098,
195,192,097,792,260,854,691,407,675,590,424,429,407,836,015,584,589,769,638,
732,700,795,418,609,983,251,107,533,059,766,449,268,563,631,621,041,110,523,
781,597,001,519,234,249,690,763,730,240,685,158,639,185,125,540,148,714,444,
087,146,152,312,071,786,071,279,853,144,443,340,618,050,711,697,104,737,829,
498,242,804,019,675,011,110,531,098,655,287,893,450,648,895,932,564,302,829,
640,184,778,095,717,578,471,732,842,028,868,053,477,368,745,299,392,784,994,
563,501,577,088,832,999,242,250,994,511,426,156,048,325,310,896,610,227,506,
899,074,033,078,084,652,405,086,254,672,464,900,290,261,622,913,574,349,446,
669,367,520,392,348,027,707,292,606,058,075,592,686,520,054,661,549,785,542,
242,302,033,516,450,261,952,151,912,636,249,661,454,289,560,628,428,256,163,
705,198,604,407,702,088,856,652,373,500,199,729,954,349,331,685,378,278,233,
029,027,795,816,192,520,129,719,537,407,632,628,366,438,285,899,536,865,058,
571,448,113,582,527,634,161,070,884,123,157,779,702,208,111,851,287,462,140,
204,903,541,441,445,255,993,229,789,097,966,365,542,831,428,017,705,841,881,
250,690,881,410,194,698,529,291,350,313,794,584,851,058,718,256,382,477,871,
785,299,125,768,536,721,403,356,078,066,938,191,395,160,089,982,216,735,089,
215,522,423,060,203,335,126,746,290,459,870,655,677,342,128,400,993,381,114,
672,175,963,400,556,266,991,190,212,689,782,782,570,876,965,978,690,775,468,
566,542,118,714,154,672,420,947,266,457,509,181,919,575,516,954,769,207,837,
239,762,094,738,572,997,687,177,876,543,481,146,301,339,107,354,169,310,541,
445,469,127,459,044,633,519,343,053,694,714,625,406,893,868,435,037,213,799,
349,340,602,187,870,289,321,128,129,912,037,762,426,943,893,590,023,824,535,
127,979,489,188,190,026,559,877,915,101,593,380,146,774,288,891,973,086,161,
031,244,795,617,967,120,920,942,096,191,182,981,827,872,538,099,442,551,559,
157,466,013,474,957,023,567,325,681,619,489,676,019,336,446,121,145,796,764,
983,151,034,900,074,085,431,922,653,771,986,647,972,716,450,231,987,136,085,
345,904,234,583,482,308,298,038,247,554,173,225,152,128,754,805,263,052,606,
073,166,851,754,444,142,734,706,699,731,101,825,177,195,372,089,734,187,945,
279,991,273,566,110,257,335,318,719,780,799,347,814,078,423,397,823,363,810,
632,983,449,593,819,519,998,015,778,024,534,868,626,804,650,262,017,653,347,
995,431,313,088,731,505,760,978,968,543,485,685,497,360,045,041,375,723,071,
003,888,076,490,578,738,731,393,532,555,071,860,156,845,669,503,299,411,604,
195,764,621,117,287,173,473,483,968,907,341,940,746,894,630,788,582,890,977,
944,466,755,425,768,706,227,162,904,694,603,467,252,070,094,321,379,143,877,
796,107,651,931,999,156,989,838,116,617,651,100,869,919,190,363,468,399,306,
620,595,765,074,205,567,471,029,493,237,094,952,708,821,543,603,714,699,290,
896,796,786,993,766,672,896,768,720,426,827,866,848,977,066,670,221,747,361,
428,069,393,953,316,969,355,085,528,960,659,725,143,387,615,199,781,928,530,
590,984,309,456,115,057,764,511,378,740,921,233,180,086,270,570,134,028,753,
462,004,355,122,521,032,360,581,319,399,707,128,146,325,620,477,129,965,189,
032,602,379,771,136,567,194,099,635,126,696,359,007,631,255,092,817,572,266,
918,001,285,290,529,175,729,477,978,579,074,915,549,981,752,783,991,427,949,
268,077,101,264,494,157,800,897,795,947,020,155,995,301,355,421,194,686,748,
136,140,561,784,718,011,556,274,816,560,214,755,060,943,299,683,825,140,790,
189,809,048,946,173,491,125,590,262,805,845,115,339,956,844,801,080,471,358,
521,065,916,267,892,660,332,057,582,651,127,465,743,493,049,676,923,635,493,
849,897,936,364,184,693,332,721,711,607,600,191,227,267,767,317,806,728,329,
100,318,595,111,300,300,739,986,126,437,835,668,806,600,937,065,661,853,551,
212,675,415,309,841,878,367,566,215,899,994,209,626,815,502,915,670,679,144,
569,337,399,471,739,787,446,173,101,118,727,275,052,624,861,815,381,918,282,
567,858,354,589,951,671,692,183,327,985,573,245,335,850,071,590,360,193,423,
946,655,151,238,912,227,082,855,868,956,014,033,926,168,126,284,850,175,055,
047,857,291,075,849,189,166,015,006,028,740,874,067,460,483,207,063,425,615,
035,593,664,348,884,638,904,798,395,742,901,326,424,762,117,783,502,201,593,
180,120,195,558,007,293,505,793,458,285,611,603,121,096,409,793,698,374,920,
015,247,505,119,191,897,964,522,195,656,719,215,374,634,492,937,147,780,775,
542,263,973,750,797,293,022,926,901,521,133,761,510,255,799,431,378,040,709,
662,693,299,860,092,589,868,983,006,867,825,603,964,224,984,963,570,256,123,
035,290,037,440,642,237,542,608,639,014,484,434,500,648,269,907,790,077,508,
486,023,946,075,689,521,954,808,510,293,879,898,594,023,808,694,918,289,941,
620,863,021,689,154,911,654,997,635,512,512,470,315,539,069,414,000,819,209,
253,905,226,273,871,401,899,211,507,364,850,210,653,062,017,705,719,813,360,
406,641,280,239,906,967,106,421,296,818,339,153,184,454,820,899,576,229,565,
132,988,797,317,081,560,123,825,364,493,841,337,900,574,887,104,563,477,008,
126,594,632,902,372,754,133,683,146,458,849,825,779,850,675,249,866,898,714,
300,310,933,732,673,664,955,063,611,612,917,434,840,187,414,339,110,189,264,
131,534,740,367,790,473,705,837,489,117,327,919,708,306,388,785,979,652,871,
301,980,502,627,528,702,852,563,683,968,517,464,785,733,360,549,897,813,730,
095,540,677,740,514,793,472,333,256,119,032,260,840,699,855,364,615,245,686,
926,585,138,783,276,793,064,818,048,535,015,851,354,060,693,695,953,799,810,
799,425,977,277,145,673,296,554,799,853,192,908,429,640,629,702,691,135,252,
556,734,068,510,195,750,709,871,393,675,367,826,145,677,207,340,246,967,990,
850,495,563,880,236,694,248,785,560,916,000,631,629,616,612,915,162,792,355,
607,901,463,307,276,537,868,852,915,297,169,603,930,706,743,078,117,173,894,
155,690,188,347,085,048,476,223,745,185,828,618,029,825,479,921,325,099,124,
354,492,078,697,525,738,284,443,692,211,213,408,079,801,110,992,325,637,971,
774,813,737,396,895,803,116,624,955,823,070,960,036,555,778,240,292,248,628,
578,849,562,167,169,145,117,568,492,438,980,984,088,642,151,470,732,640,162,
879,178,476,385,424,574,623,469,374,691,887,612,824,132,555,894,494,117,215,
596,220,487,311,342,065,148,813,146,477,827,061,580,314,915,007,763,573,341,
150,248,053,920,520,732,324,692,670,489,877,275,580,238,694,396,819,569,815,
865,277,799,842,664,498,887,305,518,868,492,127,205,006,992,667,976,335,141,
732,673,495,007,228,520,298,369,194,971,107,210,106,813,297,604,731,437,499,
600,696,191,483,873,562,573,826,467,893,229,973,175,378,011,541,449,043,089,
003,519,079,288,231,403,358,931,933,777,019,667,690,904,375,511,970,300,851,
586,728,466,844,156,458,983,332,486,674,347,108,390,829,289,001,913,446,310,
135,537,488,894,655,574,060,882,493,295,277,035,015,692,604,725,795,583,001,
997,593,533,538,395,917,693,719,217,151,543,270,615,973,167,377,005,960,957,
876,895,440,058,920,271,824,346,301,501,703,389,472,343,393,487,663,245,417,
608,281,137,108,133,285,278,587,051,972,991,411,514,538,030,627,433,669,641,
936,330,654,297,508,705,419,008,421,987,940,247,072,920,871,262,117,195,006,
965,261,209,736,050,640,552,767,271,698,019,652,070,034,798,122,498,079,856,
143,172,486,548,191,473,887,027,324,406,380,885,888,625,016,813,581,020,461,
677,976,536,971,095,865,897,316,513,810,067,262,506,266,462,698,863,126,295,
354,370,035,654,364,168,946,855,959,375,842,100,860,342,309,298,578,298,816,
170,018,603,005,635,261,615,647,570,543,430,171,195,727,155,682,473,680,139,
435,768,714,613,865,285,110,864,187,343,573,014,103,881,714,974,330,387,914,
270,794,950,511,049,894,881,136,158,965,020,654,463,486,691,228,217,656,981,
843,864,079,208,126,583,192,517,063,180,341,678,709,036,002,144,492,699,271,
956,450,109,215,471,724,542,059,287,527,654,098,421,613,609,418,480,823,911,
077,082,210,292,297,197,960,879,278,237,322,218,438,876,317,244,491,897,490,
862,074,705,669,168,431,536,697,833,946,117,339,398,693,554,310,708,248,727,
048,275,787,491,078,617,946,822,648,982,627,146,630,057,045,937,310,989,289,
701,471,416,086,914,888,050,060,700,335,983,751,105,965,083,964,507,394,823,
544,779,665,241,928,030,890,344,506,337,856,396,517,947,178,426,964,003,876,
716,450,968,671,097,099,695,553,059,476,720,062,795,873,169,607,723,792,446,
279,691,331,255,556,415,619,538,777,961,582,962,966,009,709,566,872,410,416,
215,149,478,437,004,200,036,707,964,397,101,367,426,519,100,914,119,295,698,
505,639,283,906,817,313,510,353,282,039,682,896,412,282,657,845,388,522,839,
271,542,640,794,178,273,337,858,903,111,073,391,690,575,968,280,414,510,805,
002,375,949,492,246,121,414,070,644,879,457,627,254,744,479,968,621,763,184,
420,135,520,980,353,351,554,563,737,037,587,918,852,560,849,106,549,887,143,
910,546,364,092,152,317,331,686,970,176,302,937,082,166,845,024,466,700,510,
406,800,211,043,500,175,256,415,207,113,726,792,906,945,962,187,655,912,685,
539,945,429,521,450,679,208,464,820,115,008,372,396,473,967,744,549,204,260,
368,352,174,086,118,486,941,125,415,722,054,670,600,800,065,539,245,336,761,
332,783,057,265,312,747,622,399,499,093,586,053,794,328,815,924,099,296,845,
778,399,263,513,254,456,780,704,020,814,064,042,720,485,236,612,657,000,890,
350,410,828,593,527,099,040,846,782,037,628,684,894,450,792,044,703,499,409,
893,052,315,787,320,887,570,845,984,638,035,938,389,299,589,642,927,867,314,
483,699,602,828,283,520,626,085,008,663,581,611,681,131,150,940,491,144,143,
229,766,475,955,613,071,792,397,371,447,302,851,516,588,914,654,246,989,429,
195,281,472,870,172,556,786,243,794,060,506,731,793,914,319,153,278,408,782,
765,301,917,227,990,258,250,705,115,583,543,477,250,176,869,176,279,616,333,
595,862,030,379,915,210,867,257,592,447,047,615,553,424,419,027,286,832,505,
100,991,251,245,725,522,905,121,681,658,870,203,806,987,124,979,645,582,984,
886,712,195,124,628,120,306,500,804,946,535,166,701,080,857,153,443,922,122,
023,965,927,012,755,802,647,777,151,542,427,010,838,468,487,335,624,597,939,
932,220,458,047,232,410,816,379,859,457,403,855,297,132,151,003,245,111,395,
243,316,176,878,954,885,775,495,267,332,178,198,747,236,197,879,412,005,723,
029,359,527,203,205,140,235,948,688,738,207,878,036,600,843,080,814,971,130,
577,647,608,696,109,415,496,551,456,132,849,996,899,124,978,238,635,486,152,
541,811,435,474,027,040,149,702,664,957,044,422,621,109,229,398,320,674,742,
681,041,223,594,038,870,254,944,133,652,232,421,173,652,846,279,704,280,604,
186,920,357,052,232,336,819,344,483,578,612,622,211,799,652,475,634,825,412,
897,869,319,898,516,871,534,287,077,955,453,464,349,064,542,351,144,396,905,
820,435,038,212,609,259,522,097,281,637,882,653,467,006,253,105,815,269,188,
542,942,197,979,136,058,764,472,565,328,591,492,334,730,739,731,439,718,408,
015,037,291,069,720,710,345,450,424,413,077,251,496,471,868,204,923,252,013,
411,420,675,580,837,284,944,577,954,278,707,431,133,273,177,607,865,019,245,
600,178,369,813,843,735,341,877,121,074,616,802,175,043,348,271,864,454,092,
954,652,669,973,143,463,653,810,542,532,620,895,695,054,128,841,338,388,427,
474,203,022,601,743,596,694,269,970,669,655,457,574,194,332,184,126,867,808,
636,963,497,829,401,873,096,177,489,314,430,652,056,778,688,490,835,296,500,
829,023,434,190,325,541,999,660,098,430,760,683,350,084,078,900,846,925,279,
303,442,750,287,645,602,123,434,027,815,791,394,321,912,265,542,850,885,783,
575,661,102,124,541,796,029,174,012,154,658,846,088,764,513,893,038,278,736,
814,423,161,666,200,130,619,785,633,856,274,977,071,593,297,829,161,432,532,
867,437,400,193,073,306,283,093,832,266,591,789,924,176,844,926,863,870,803,
988,851,989,662,377,883,066,857,976,983,695,573,862,547,123,340,647,448,759,
277,718,319,399,683,310,387,115,455,941,121,780,025,961,640,557,191,531,831,
179,720,999,609,237,954,195,647,212,230,153,954,583,922,693,311,291,551,581,
245,388,588,620,177,401,710,921,167,170,143,584,081,720,168,159,307,938,105,
964,902,359,225,619,817,604,177,382,347,070,486,830,118,954,983,913,484,234,
533,218,296,311,424,458,423,607,625,205,930,664,093,528,054,869,817,830,805,
176,441,600,027,318,588,318,276,684,052,552,950,051,209,801,552,789,343,223,
150,911,116,875,218,409,836,914,185,116,979,900,917,144,572,134,194,038,613,
082,085,185,950,962,607,929,514,289,005,876,913,449,588,192,375,524,710,099,
574,445,205,039,630,507,364,931,560,315,464,219,751,097,689,448,979,048,477,
136,585,503,103,863,663,864,735,290,758,288,654,394,822,479,644,903,382,194,
171,564,774,933,675,529,953,997,167,179,465,465,743,130,177,391,583,567,149,
574,295,914,401,345,722,197,274,867,298,515,221,537,424,575,451,491,060,375,
555,214,841,400,021,087,806,526,165,041,741,774,524,013,716,798,468,449,525,
021,307,714,217,766,252,718,703,050,086,877,041,669,431,402,468,860,967,732,
277,158,853,439,321,480,812,074,274,427,617,426,813,028,352,280,776,266,154,
499,242,351,981,372,517,461,161,630,799,483,922,206,513,690,720,322,219,158,
642,359,714,685,926,093,447,072,894,436,964,830,710,908,353,464,843,462,603,
311,408,788,372,916,822,899,735,016,583,766,719,971,407,458,706,758,092,628,
463,193,623,158,505,196,366,479,412,244,790,399,614,688,389,241,033,642,488,
969,651,860,527,961,046,587,519,951,848,899,791,690,338,992,034,468,147,017,
347,629,763,810,585,958,351,678,516,650,810,203,974,609,214,901,706,632,936,
173,570,342,289,183,327,433,110,307,812,273,555,138,147,265,931,896,511,045,
114,941,595,170,252,276,678,976,880,233,534,684,761,452,898,717,717,698,140,
147,064,826,249,343,497,750,294,525,482,035,149,246,442,354,019,653,124,957,
557,369,214,730,653,882,022,048,381,550,623,907,342,081,763,168,361,485,025,
101,280,032,754,235,410,861,667,254,892,152,653,245,777,075,289,065,984,823,
365,384,353,344,778,351,797,342,334,491,835,208,249,191,669,235,475,529,053,
443,195,693,401,592,778,248,559,030,947,635,545,901,405,552,756,045,166,062,
236,710,309,710,303,379,163,164,755,001,648,264,656,061,319,854,350,494,783,
823,087,276,674,862,050,364,553,489,102,595,275,270,363,224,966,985,209,560,
947,631,886,505,090,093,433,457,440,085,637,919,462,894,003,036,111,515,491,
601,273,218,224,826,391,114,731,259,366,718,262,190,488,974,153,302,357,927,
559,936,831,539,448,579,669,448,037,035,415,814,410,986,138,904,099,190,521,
022,771,847,199,454,568,383,436,166,167,497,665,468,716,068,336,693,038,665,
502,684,804,262,678,613,293,367,637,213,602,746,444,420,360,912,937,317,748,
589,243,836,484,612,716,439,957,997,662,589,892,251,573,320,702,794,724,226,
025,288,776,582,863,553,041,916,889,590,369,517,628,143,264,745,299,382,766,
015,998,201,546,767,579,914,743,746,649,056,339,792,055,110,099,919,080,478,
362,630,353,081,843,222,894,584,754,666,007,114,127,498,007,813,618,106,506,
477,974,533,036,239,330,724,652,150,678,975,040,955,786,408,876,743,608,299,
235,914,366,547,567,686,888,879,810,465,885,252,377,436,017,462,526,048,691,
194,351,483,231,819,239,670,142,505,332,472,844,861,809,245,298,884,054,750,
296,066,322,119,336,846,962,549,446,842,628,257,952,080,730,865,469,104,460,
184,312,161,771,850,442,202,107,505,349,939,870,662,233,537,025,764,473,056,
004,796,404,970,499,690,034,729,916,504,964,479,796,922,625,152,342,133,742,
665,132,755,174,669,157,672,958,821,805,126,129,666,605,040,354,031,174,456,
099,009,520,675,864,256,501,159,239,536,764,736,073,103,118,052,546,046,981,
419,209,346,152,975,136,617,476,154,545,318,273,771,340,444,638,895,367,879,
023,941,655,185,809,640,935,113,682,106,062,199,306,638,590,525,869,942,830,
272,409,539,434,669,709,598,145,965,232,208,718,262,047,567,711,521,317,092,
236,621,705,750,252,530,573,646,067,634,928,590,875,481,160,878,107,190,173,
279,525,323,281,123,274,237,352,746,939,070,689,869,201,399,853,433,539,681,
128,002,994,921,736,108,120,760,949,642,786,293,150,286,669,018,498,891,980,
557,791,596,283,623,443,472,227,456,794,138,732,656,361,719,007,980,215,144,
439,927,936,085,076,817,821,692,780,889,405,980,398,857,371,938,671,644,546,
007,647,480,191,060,242,249,468,876,059,770,307,124,194,771,317,922,213,831,
216,049,781,634,700,485,986,933,701,186,885,028,495,030,300,064,707,903,431,
921,996,373,154,241,444,132,682,181,217,671,693,131,339,947,674,769,662,154,
436,744,155,126,077,502,765,957,712,204,868,349,616,677,932,589,322,845,231,
132,358,724,880,171,115,148,790,919,891,668,148,815,622,046,889,489,988,964,
826,723,189,610,711,697,681,243,800,613,113,999,245,009,006,025,290,369,935,
070,641,069,630,551,737,788,758,635,566,809,929,643,931,242,387,719,268,616,
142,898,070,883,770,409,797,223,807,079,674,776,227,234,816,555,441,794,679,
057,350,690,917,500,184,399,892,418,600,234,174,987,189,439,372,995,580,999,
865,167,984,124,535,090,252,589,914,972,168,288,922,349,734,224,567,933,059,
485,355,849,533,028,876,206,608,273,664,908,532,183,235,401,702,274,043,960,
168,436,328,862,368,770,375,210,471,493,971,366,429,851,639,858,728,724,625,
936,982,719,676,257,560,403,571,856,076,744,094,187,304,048,318,948,216,653,
514,885,527,836,458,299,089,677,515,379,298,424,433,304,200,083,705,030,445,
283,455,151,067,605,154,768,005,145,331,075,715,960,643,720,136,937,996,788,
064,043,856,682,304,627,554,744,966,424,171,817,490,012,103,121,392,807,122,
779,276,140,072,892,066,896,183,014,431,753,075,925,353,189,710,819,092,115,
973,149,558,537,203,624,205,976,542,559,143,022,998,031,055,717,582,320,734,
211,433,936,872,983,569,710,624,922,720,972,981,188,777,830,511,294,616,125,
544,263,840,615,642,525,070,932,905,268,511,052,349,487,778,309,926,292,107,
233,124,378,545,794,029,580,059,270,576,459,069,425,263,059,144,875,203,358,
255,067,662,971,281,616,657,342,830,440,660,537,401,631,956,518,535,610,924,
918,734,011,744,088,966,925,259,329,852,878,388,166,811,865,409,237,174,962,
067,075,135,415,189,151,760,572,045,007,078,936,996,627,440,021,643,589,719,
091,784,211,946,623,612,538,393,727,145,259,689,625,519,927,982,345,853,511,
378,574,652,729,965,404,601,591,532,812,298,478,634,114,902,638,413,783,183,
158,790,869,362,681,813,980,808,506,954,105,991,922,210,280,126,711,220,224,
525,077,614,973,769,064,039,833,355,051,964,763,728,126,706,937,241,502,567,
803,727,340,163,766,763,086,511,203,022,170,315,378,844,896,861,258,788,680,
641,031,710,428,027,280,224,536,765,237,501,115,113,707,938,328,891,978,517,
957,796,688,327,660,091,806,540,382,749,546,713,065,292,265,755,514,961,341,
828,991,102,800,416,368,949,696,495,356,627,371,070,684,177,600,276,425,125,
508,359,136,308,072,401,580,153,320,879,712,444,047,899,039,702,897,232,880,
886,922,655,465,346,618,111,647,614,680,093,810,775,427,889,651,605,132,547,
232,087,602,436,813,011,477,265,930,045,041,118,600,581,344,956,665,348,685,
261,887,231,804,875,172,130,291,391,648,150,527,589,296,546,061,624,161,740,
573,922,153,792,972,877,199,584,748,251,733,474,254,922,779,724,507,601,190,
132,309,636,248,314,083,653,524,785,814,066,071,800,516,612,497,782,199,986,
858,635,415,241,417,581,353,422,615,843,509,630,981,171,063,618,442,923,940,
347,428,364,869,223,662,063,627,805,670,888,636,859,416,258,462,375,173,592,
510,055,982,137,489,121,644,445,028,743,928,334,458,649,953,893,148,975,578,
069,524,969,084,676,060,450,683,125,494,363,488,875,027,246,597,942,209,649,
939,455,610,298,345,214,123,367,926,464,169,339,659,795,646,096,333,378,530,
973,460,575,408,024,679,395,117,542,577,892,490,440,344,729,090,816,298,908,
375,252,547,443,692,907,556,523,746,010,896,143,215,458,670,134,961,521,846,
171,849,903,077,122,667,387,861,061,690,100,046,063,811,145,428,931,791,297,
538,846,811,895,429,745,198,824,514,951,574,891,171,796,439,824,022,842,878,
229,129,778,794,507,510,630,534,382,759,140,753,972,931,542,690,722,082,667,
573,851,246,677,746,439,615,114,152,592,154,945,565,597,476,156,929,028,974,
942,315,308,352,632,532,622,691,965,940,092,810,296,755,512,208,424,094,148,
478,252,757,169,002,302,196,424,359,648,356,996,011,485,839,954,305,962,342,
938,985,968,172,328,710,884,801,382,750,108,156,876,795,122,447,132,612,430,
906,686,421,309,284,687,175,171,389,300,896,069,875,825,448,278,769,019,626,
073,881,459,338,107,630,623,031,336,430,339,784,904,684,197,010,343,553,790,
772,066,762,359,196,462,409,957,159,521,190,813,909,348,824,568,951,085,356,
738,743,316,804,187,103,281,513,282,375,810,578,795,137,685,951,627,849,880,
077,066,080,725,999,378,272,312,690,702,933,598,184,706,092,415,302,501,205,
633,589,360,369,104,503,500,114,342,501,177,428,949,732,253,060,810,013,362,
924,864,339,632,597,181,754,881,884,472,747,498,479,848,220,681,957,481,949,
260,299,977,749,278,325,525,396,227,766,046,124,310,401,095,864,146,082,497,
410,600,105,143,135,616,188,816,175,158,437,761,590,091,842,277,808,238,452,
684,501,222,769,605,118,875,746,591,135,505,538,159,761,374,616,767,943,553,
943,711,677,632,142,303,571,020,262,127,511,297,796,557,629,974,547,967,007,
044,334,050,243,666,266,572,275,760,956,454,440,996,378,964,867,284,878,361,
906,548,617,909,570,564,311,063,419,780,267,742,893,463,533,348,087,602,492,
731,292,639,561,065,469,903,028,434,241,959,056,084,559,712,431,055,539,812,
760,128,018,675,551,119,394,192,451,284,643,625,511,197,838,810,075,647,064,
189,597,987,377,894,126,047,188,457,181,351,831,216,991,284,951,539,251,472,
238,054,292,259,443,270,099,316,506,258,110,433,628,222,068,407,278,113,043,
812,458,891,474,510,510,785,307,982,501,231,523,763,873,411,844,056,605,168,
506,762,585,960,061,287,596,638,780,352,647,961,024,300,649,373,201,276,168,
944,688,362,108,599,731,637,937,502,329,459,655,146,924,015,604,000,084,006,
343,558,892,808,652,831,315,403,002,152,828,993,977,249,763,536,153,146,657,
835,600,220,468,141,716,427,963,460,447,509,638,740,014,298,134,648,593,250,
756,974,884,836,770,369,338,095,219,635,032,453,725,871,102,134,549,584,747,
667,670,624,916,237,579,805,243,491,783,953,894,085,035,333,184,574,306,148,
193,390,016,882,668,653,515,307,612,626,068,898,473,333,614,626,808,857,680,
525,672,360,094,193,932,251,774,268,999,095,026,851,761,548,548,648,594,382,
502,038,515,211,471,915,110,157,530,410,240,600,899,334,053,814,228,548,689,
163,744,714,577,681,761,028,525,060,661,531,214,845,292,367,900,235,294,908,
388,242,920,831,096,773,776,650,281,143,296,970,027,164,164,967,902,694,983,
559,263,075,854,215,259,384,079,355,009,473,450,436,239,915,499,791,152,413,
160,110,570,335,074,858,774,034,800,202,732,741,044,189,837,652,098,367,148,
926,293,154,717,761,536,475,011,502,412,461,077,084,520,117,601,706,814,986,
138,184,131,417,366,875,881,004,890,539,059,069,396,352,383,343,196,999,192,
004,870,062,427,690,891,768,439,753,721,364,278,006,100,910,744,294,063,793,
332,848,178,760,824,372,847,360,566,657,968,179,093,899,245,222,161,626,223,
861,444,833,841,783,898,013,034,255,837,255,383,943,299,224,684,715,567,551,
086,820,284,378,938,390,080,083,938,342,394,696,889,286,332,020,231,063,645,
663,637,432,220,264,910,491,040,673,846,032,032,431,057,576,090,051,954,136,
363,874,730,727,388,228,051,921,983,315,144,660,253,655,139,355,247,482,654,
067,374,505,436,885,971,093,034,073,438,956,089,236,851,393,367,219,883,951,
471,483,418,582,907,200,899,929,140,512,064,080,717,791,868,915,931,381,053,
568,734,250,552,582,144,364,330,836,619,246,152,126,803,050,388,655,617,432,
796,374,984,183,774,489,522,239,118,266,817,396,799,916,262,240,054,527,263,
923,719,660,229,927,415,465,376,856,451,305,582,063,335,672,353,440,801,049,
636,714,751,538,238,141,638,710,180,333,855,854,173,453,486,613,823,942,125,
024,582,579,673,489,194,896,343,878,163,434,023,434,278,586,195,683,975,029,
621,826,825,590,873,596,551,606,373,057,519,703,736,624,181,365,899,605,686,
232,919,778,119,851,667,426,060,336,075,816,587,292,730,928,905,280,490,206,
895,874,988,180,143,716,626,429,589,149,304,710,521,910,493,290,644,757,125,
831,649,121,146,294,292,374,261,099,985,773,563,222,418,352,565,339,138,348,
500,160,445,315,963,953,319,518,660,382,541,317,337,393,393,600,027,953,072,
269,204,061,227,353,525,840,929,675,661,723,686,954,215,483,385,981,646,738,
363,598,512,405,465,883,296,276,722,097,841,022,946,570,210,218,233,437,795,
037,280,240,438,884,298,140,359,352,826,281,949,248,270,781,999,709,373,134,
657,766,001,035,072,164,729,086,050,437,149,393,866,729,765,222,354,278,350,
873,417,647,912,712,128,044,355,408,563,635,956,644,804,597,175,887,798,287,
574,523,922,861,191,947,709,351,399,417,968,939,951,674,870,799,846,799,429,
372,370,054,144,715,867,564,111,026,163,698,700,036,325,965,675,931,919,474,
755,100,249,007,158,313,273,985,822,371,816,918,762,050,001,567,237,657,054,
840,610,924,293,233,619,867,544,999,940,226,271,562,398,986,072,795,575,555,
945,694,394,638,172,791,518,891,246,327,402,496,293,375,145,446,538,329,430,
818,363,399,176,455,365,615,025,409,413,898,271,386,610,262,748,517,348,944,
287,471,029,007,833,436,610,507,090,704,327,836,417,395,904,074,942,792,120,
940,516,133,381,385,177,976,443,911,436,929,814,549,241,872,429,564,329,540,
474,271,258,592,878,257,765,314,264,798,613,380,218,829,571,645,280,940,953,
663,929,781,815,368,177,293,703,469,730,249,682,773,828,094,853,146,632,927,
932,001,632,351,381,803,143,676,275,237,185,287,481,364,619,952,296,813,615,
707,827,950,076,822,101,434,832,800,086,808,170,820,014,728,732,500,794,084,
589,715,353,677,351,112,861,444,843,677,856,891,702,604,242,943,138,710,473,
664,549,156,759,903,994,290,258,518,683,436,817,424,852,907,161,881,117,010,
956,199,161,361,067,446,135,148,245,285,633,398,245,885,214,188,271,749,974,
825,058,327,856,572,438,491,453,235,548,471,411,492,422,900,665,342,816,091,
344,631,086,687,279,040,960,043,032,054,188,421,843,278,315,317,784,080,757,
806,558,795,583,509,502,989,279,013,464,415,736,611,181,469,177,109,472,812,
150,872,831,852,856,503,635,399,321,516,184,539,343,441,736,569,723,678,465,
156,733,707,294,160,255,276,720,584,998,857,967,723,824,343,907,941,876,173,
516,297,805,245,195,300,361,372,428,416,908,366,387,270,166,245,858,917,329,
188,104,769,793,125,440,407,910,973,351,999,982,423,136,467,749,694,473,571,
831,995,277,037,317,358,027,428,273,750,926,580,540,076,721,295,768,108,191,
491,561,508,504,552,987,220,942,765,236,237,696,615,253,102,158,075,500,832,
633,289,516,711,961,188,201,283,113,941,469,778,561,774,393,989,228,448,031,
986,388,380,670,164,793,521,556,747,118,110,721,558,563,077,611,348,827,343,
391,502,457,204,059,513,898,820,561,638,694,730,964,079,665,397,571,043,986,
494,594,789,817,733,880,212,980,790,635,694,153,921,211,361,665,996,003,729,
520,248,840,148,799,765,398,569,925,775,106,556,469,844,338,359,652,844,558,
055,068,050,444,548,261,114,200,684,692,814,627,079,151,172,289,651,669,872,
540,673,809,036,748,876,473,349,304,645,813,543,819,957,146,256,438,489,692,
493,224,703,271,030,009,669,979,325,740,842,037,077,718,227,370,837,216,478,
436,219,249,345,916,981,112,655,736,120,282,948,753,413,820,084,215,746,735,
023,647,527,340,079,290,755,938,304,008,219,633,011,717,520,992,207,333,695,
080,512,786,054,316,459,646,110,178,914,951,393,823,012,604,191,370,449,925,
698,958,520,558,727,768,734,008,872,376,185,106,207,117,828,060,483,000,297,
887,930,912,454,746,596,962,768,942,925,802,950,082,028,492,267,813,582,610,
026,792,092,624,306,331,449,890,442,383,076,225,743,283,092,850,372,556,559,
401,397,395,547,718,215,240,662,580,616,512,939,069,089,971,091,562,381,060,
565,171,133,325,179,255,869,061,926,662,784,325,247,801,020,770,527,965,919,
518,817,553,790,595,756,929,006,302,710,072,937,577,616,317,355,006,317,677,
760,048,512,956,199,839,001,336,256,587,894,139,548,907,086,352,362,878,617,
942,011,991,797,940,554,185,708,394,395,056,071,722,522,475,606,242,705,633,
793,636,484,680,452,810,356,155,188,857,793,466,929,243,377,875,781,634,232,
678,395,846,455,793,808,882,047,993,025,900,066,944,972,334,037,044,325,697,
736,152,186,292,799,537,313,730,715,984,637,833,378,775,292,943,756,314,002,
802,985,587,546,042,210,295,721,979,703,717,273,068,688,433,761,564,397,245,
723,969,431,287,527,493,406,562,154,498,710,127,618,637,839,467,867,897,966,
372,093,139,133,212,798,953,933,313,918,807,697,842,058,101,833,185,982,873,
828,742,222,924,546,299,868,343,175,981,299,223,086,891,036,015,085,709,388,
574,524,481,359,893,933,425,494,409,112,875,784,803,368,662,221,384,808,009,
041,192,123,767,992,583,994,447,089,762,144,539,897,249,205,784,507,561,085,
546,640,993,077,241,171,458,411,742,646,716,501,073,593,902,843,809,251,658,
537,514,045,190,586,447,662,977,017,378,303,171,081,501,883,056,243,953,969,
380,933,640,501,138,182,831,009,903,479,344,243,277,578,745,866,791,781,474,
022,605,589,330,533,153,680,077,360,150,970,911,399,931,918,435,235,511,425,
929,898,216,150,263,444,197,698,274,321,114,109,746,097,638,999,793,861,147,
822,853,016,115,338,975,298,581,425,173,849,921,351,406,356,269,732,166,557,
054,320,143,809,438,710,450,149,252,489,655,239,729,482,923,058,382,071,098,
634,913,218,795,374,063,246,775,144,235,237,444,406,700,179,108,912,156,236,
150,492,654,618,836,983,932,084,409,718,347,268,502,383,608,417,904,038,895,
271,700,417,625,291,067,657,288,469,595,429,912,975,168,388,476,367,092,400,
257,028,381,209,807,351,872,223,523,984,070,379,795,383,493,774,070,831,426,
053,260,891,901,936,489,517,359,445,551,146,837,147,575,707,090,939,851,688,
805,158,192,368,594,961,027,972,992,894,234,420,643,878,794,413,894,593,098,
645,027,693,794,056,861,284,938,109,255,250,340,714,687,720,153,289,020,242,
885,004,351,704,475,502,224,625,231,777,379,920,258,993,911,141,447,695,090,
045,643,145,413,011,298,414,259,016,973,624,131,717,902,745,802,899,402,677,
026,206,173,205,306,637,781,598,733,024,901,897,332,309,175,017,309,265,815,
625,341,521,810,339,071,325,364,202,079,039,077,094,330,602,138,424,348,375,
753,016,658,892,620,015,366,507,633,721,213,717,543,866,789,154,072,809,549,
758,501,291,462,428,274,415,319,468,041,086,719,216,967,808,097,738,318,404,
008,108,148,643,658,379,521,911,881,909,498,195,665,052,402,179,587,155,009,
667,076,562,838,797,469,732,190,581,241,852,597,508,218,107,694,958,810,056,
132,049,205,319,170,281,492,785,300,929,489,025,747,792,201,824,642,963,112,
582,767,235,746,427,599,905,013,055,107,649,598,470,991,154,366,756,670,569,
301,628,949,835,494,314,597,443,493,168,144,067,819,932,148,592,167,285,123,
527,503,872,024,583,194,789,219,148,734,613,895,240,441,581,752,944,794,853,
802,935,092,247,307,244,593,987,355,374,968,889,061,761,756,544,597,879,042,
912,800,715,380,800,719,447,830,912,362,654,486,299,265,766,310,623,260,782,
726,233,830,497,368,455,251,221,663,100,760,024,652,923,642,252,945,123,389,
043,488,511,196,414,249,871,648,261,117,726,737,721,762,451,836,584,539,722,
120,544,026,101,957,034,617,282,694,467,759,067,719,187,669,764,063,668,011,
640,736,466,994,160,799,465,401,591,592,353,482,929,681,395,353,893,943,124,
505,057,657,952,189,556,348,453,131,453,846,482,309,495,792,749,890,470,093,
739,429,366,414,057,371,417,076,045,801,984,817,567,597,787,648,480,719,199,
203,885,065,233,857,449,449,183,062,781,261,631,733,714,288,961,591,090,180,
908,003,515,509,775,196,957,454,033,191,894,785,156,918,197,600,342,748,720,
423,292,410,507,764,937,130,758,821,179,928,386,900,476,338,586,436,873,160,
618,710,770,904,101,845,432,862,667,911,779,091,978,164,549,171,077,030,422,
559,871,676,195,620,729,286,494,209,982,738,672,746,192,952,955,114,744,428,
349,917,362,203,688,972,646,682,478,159,432,296,615,225,838,232,927,809,057,
391,584,372,465,708,047,259,495,231,112,695,125,360,327,694,016,166,917,534,
996,517,066,170,670,492,389,812,264,082,742,167,682,177,195,367,543,592,511,
150,982,844,355,742,075,709,823,440,540,708,659,907,775,386,673,981,535,659,
103,921,533,882,189,827,576,196,661,412,044,259,811,950,470,538,633,581,028,
718,883,380,522,811,657,398,371,629,498,789,824,268,095,877,470,049,252,767,
590,894,853,366,597,867,470,871,986,141,105,427,704,711,416,763,852,758,530,
647,664,332,036,227,698,793,884,723,562,529,653,579,916,334,561,842,307,057,
749,217,590,525,222,458,248,462,692,920,118,974,850,747,334,607,804,179,738,
818,337,107,472,003,170,389,498,435,148,905,505,486,748,350,235,993,139,172,
804,462,543,437,379,940,680,934,305,559,676,815,625,340,104,500,227,053,005,
875,043,198,472,952,233,632,278,184,860,519,375,326,797,230,672,168,028,149,
137,964,557,910,130,748,032,666,930,255,846,324,721,226,762,773,112,476,247,
967,184,811,287,088,452,985,244,937,597,897,735,573,902,257,999,584,621,169,
341,270,090,566,536,629,069,969,608,889,162,775,817,439,002,844,876,538,044,
889,161,203,460,688,167,001,364,561,956,369,334,772,035,438,889,379,335,276,
585,275,797,735,948,043,678,744,874,370,146,286,784,974,764,798,475,120,306,
884,282,499,897,049,846,497,843,681,420,573,249,973,837,788,157,390,494,281,
032,586,451,768,040,110,947,208,616,339,062,979,102,492,813,154,188,926,681,
691,384,779,039,285,342,660,648,761,568,492,694,442,223,960,569,912,297,831,
435,633,827,826,159,556,110,920,178,568,763,718,494,061,650,172,880,016,700,
857,559,513,772,174,477,702,209,661,820,423,755,253,300,529,741,508,892,786,
126,631,793,198,377,801,268,916,084,242,049,844,711,150,432,407,986,509,208,
590,360,277,817,030,292,170,795,412,430,035,441,889,643,493,155,811,399,309,
266,110,822,031,444,348,329,777,500,270,746,312,381,902,872,550,476,397,042,
504,112,375,806,904,669,260,514,726,655,927,836,679,771,379,627,314,945,041,
340,351,670,088,122,796,228,362,530,038,176,241,067,767,552,334,344,612,189,
910,369,098,724,210,648,937,090,414,620,425,013,420,262,482,138,771,660,652,
136,183,427,237,140,616,166,253,613,766,551,861,162,628,853,734,984,109,504,
482,633,039,554,882,118,044,160,533,223,436,621,366,202,611,743,450,983,687,
302,680,237,255,766,376,597,569,499,294,838,746,180,584,555,594,284,166,458,
785,688,951,799,238,350,386,454,464,839,349,928,029,270,002,796,451,931,379,
849,384,506,722,921,200,335,572,143,254,191,430,399,951,060,597,574,003,356,
705,403,317,058,976,102,916,584,600,781,895,530,088,323,224,236,374,348,847,
506,966,698,959,395,253,456,216,403,732,730,038,154,525,744,029,663,671,960,
544,147,210,038,467,987,202,424,033,929,032,220,660,463,033,317,435,607,746,
615,505,221,838,640,286,941,374,963,041,804,912,974,272,538,641,772,006,614,
022,306,192,718,773,458,526,394,639,079,963,691,146,336,169,758,631,293,646,
689,065,589,727,212,757,338,827,272,348,234,219,081,085,283,273,923,343,005,
056,478,578,621,377,372,265,786,690,862,430,180,572,996,068,120,789,109,689,
228,969,582,161,621,676,211,302,070,807,950,504,928,637,208,669,524,608,757,
375,647,820,227,801,691,983,523,777,291,003,585,690,140,163,417,573,893,937,
613,216,818,800,569,480,143,806,248,050,439,195,492,398,659,604,096,311,598,
633,722,351,998,082,238,243,936,701,618,745,812,116,937,019,463,815,686,138,
965,816,886,713,227,273,628,800,719,239,020,082,673,903,986,263,486,232,040,
459,447,656,925,576,688,150,775,053,199,027,975,782,052,838,843,603,098,516,
860,641,599,221,398,268,355,252,133,555,892,746,428,683,160,422,789,094,060,
297,599,658,524,515,815,720,049,773,184,131,583,832,159,512,132,465,536,987,
753,332,389,719,977,097,407,935,936,251,676,665,748,487,580,925,479,899,086,
464,814,704,476,683,714,402,461,247,288,285,056,918,753,880,602,849,655,816,
342,817,529,349,747,886,973,493,787,386,698,642,737,549,685,686,568,771,006,
013,371,481,545,727,140,491,921,385,039,856,818,841,983,235,093,565,302,824,
760,463,305,898,376,702,623,820,190,850,288,548,196,412,298,725,493,565,391,
660,353,880,614,795,025,664,631,267,768,808,262,036,909,997,687,288,508,318,
381,153,739,081,418,081,936,132,540,881,233,556,887,577,326,535,750,681,818,
454,741,349,478,442,627,720,445,831,473,267,248,614,142,196,791,913,136,164,
157,439,088,877,459,573,145,383,509,376,496,674,060,162,982,548,359,674,456,
268,788,794,291,461,685,858,486,236,253,518,018,779,862,310,713,539,729,772,
402,984,321,633,256,386,439,146,770,720,582,163,554,472,521,122,636,121,909,
067,820,311,336,729,786,373,522,853,799,004,130,772,013,705,564,592,342,825,
765,270,291,079,820,341,005,540,830,785,693,751,016,605,116,384,342,658,141,
242,333,059,896,306,987,191,442,932,918,311,832,401,361,731,643,820,933,692,
836,020,723,954,839,986,668,259,155,147,774,391,611,056,644,969,682,979,490,
920,028,660,316,705,855,817,908,685,736,449,077,126,888,957,169,038,264,700,
473,791,449,636,805,257,080,522,467,187,528,673,741,088,315,424,949,861,097,
663,631,859,986,253,257,480,236,183,925,933,260,517,500,478,169,630,850,952,
056,354,559,373,207,656,792,222,404,472,794,746,098,318,636,432,994,951,554,
169,766,617,681,114,395,565,166,554,346,955,173,078,104,694,524,939,092,910,
635,021,860,434,407,797,378,525,653,228,066,211,693,630,856,456,839,014,249,
434,930,509,823,291,088,539,883,957,941,941,716,366,748,913,183,967,351,724,
108,777,475,259,995,556,966,468,911,420,806,631,297,731,980,220,206,314,201,
834,560,279,212,313,358,657,516,986,226,732,276,425,733,234,604,584,937,159,
955,918,826,601,742,811,579,359,164,713,960,446,583,164,393,100,638,757,410,
255,818,915,638,470,555,570,903,894,284,139,761,535,564,055,055,529,333,254,
304,700,837,595,994,476,290,683,055,705,202,860,101,374,992,855,317,472,630,
758,922,539,030,990,352,172,083,959,297,049,819,285,435,802,099,009,832,790,
831,295,529,032,690,973,669,568,714,965,122,267,366,581,410,262,447,540,371,
292,796,073,740,910,809,896,503,406,936,001,297,218,791,787,593,404,652,742,
368,608,348,005,728,289,987,200,515,374,238,241,502,784,215,421,629,671,642,
594,468,155,263,358,325,005,670,364,619,270,117,775,906,006,153,198,788,344,
373,034,251,645,154,503,465,797,975,937,855,290,174,783,194,330,226,566,868,
772,274,681,250,602,052,291,406,957,609,881,132,560,506,335,664,058,682,240,
059,991,462,908,544,142,943,320,928,244,835,234,432,093,730,858,839,746,495,
395,748,920,691,576,471,372,166,777,490,729,190,701,234,002,503,594,630,136,
825,344,079,057,280,823,386,216,701,985,712,090,300,194,730,397,490,036,647,
176,216,440,323,082,682,845,697,057,753,023,345,500,533,194,633,361,695,068,
476,243,734,901,616,332,697,240,530,594,133,048,599,118,731,771,179,135,767,
734,230,793,396,632,252,249,609,496,182,520,538,333,885,991,482,914,816,607,
900,878,885,693,902,481,978,422,419,363,082,727,764,836,008,849,208,483,851,
218,694,017,377,220,162,135,717,021,003,296,874,238,591,569,148,924,553,676,
123,987,810,006,145,823,118,732,242,068,436,251,227,173,262,312,556,001,952,
202,981,634,244,492,208,460,956,117,816,896,409,856,364,257,842,117,310,030,
724,617,673,172,820,697,789,379,120,755,565,754,229,209,908,304,216,054,700,
650,082,171,232,673,691,156,822,209,561,299,945,687,733,929,065,955,945,341,
420,999,496,128,499,682,694,843,340,705,921,734,843,286,716,397,667,701,909,
966,184,644,329,538,209,381,808,438,495,322,201,221,632,299,719,186,572,593,
808,698,436,318,029,601,269,741,478,565,196,182,925,789,873,475,769,100,641,
757,628,843,204,965,378,117,555,262,311,608,692,061,261,188,717,216,541,914,
354,709,428,895,790,112,512,724,327,558,108,920,031,563,612,180,236,059,785,
984,177,401,708,147,534,925,653,450,502,228,483,653,222,557,694,930,314,523,
378,332,815,243,572,030,262,700,460,012,024,687,153,911,468,359,913,981,276,
038,424,916,396,886,225,733,832,903,432,841,721,521,036,764,511,949,809,780,
802,907,015,462,063,337,526,550,453,707,403,449,577,353,995,815,418,613,372,
088,687,784,657,802,820,934,204,420,261,744,981,074,186,300,867,020,697,484,
210,358,457,058,049,084,592,682,772,682,204,435,964,095,285,031,791,618,493,
706,258,927,964,155,523,256,561,199,304,575,979,106,210,917,647,684,947,459,
770,250,963,771,367,191,051,547,500,890,646,281,948,229,631,974,945,986,574,
408,208,868,040,661,805,273,904,233,365,506,389,957,567,270,899,238,536,144,
433,597,596,460,774,060,892,239,154,407,125,435,447,883,660,484,054,109,632,
216,156,552,944,774,549,212,625,610,597,869,482,931,682,606,975,890,052,388,
440,530,647,797,234,718,714,813,401,781,308,237,637,036,235,493,425,763,194,
324,538,236,279,887,499,368,345,652,469,669,368,788,388,955,364,781,354,087,
166,473,995,683,920,026,167,683,509,435,358,456,571,809,842,112,308,860,095,
596,170,818,301,648,844,984,617,788,707,440,458,356,171,148,521,556,818,159,
759,989,337,462,430,823,764,436,398,120,826,802,416,040,711,678,258,413,776,
300,696,694,570,610,011,775,711,723,553,429,246,420,117,110,215,363,446,361,
866,145,152,613,086,483,919,170,233,849,183,964,906,975,391,614,533,367,785,
557,932,322,400,175,624,706,939,010,742,106,071,255,970,128,120,476,433,994,
136,187,458,378,728,713,612,983,895,290,397,729,291,326,828,480,845,603,032,
890,321,694,872,887,795,283,397,236,775,503,372,813,301,499,373,140,080,147,
281,262,681,314,324,773,739,876,135,259,871,553,340,646,647,188,542,137,908,
632,629,427,301,769,707,381,417,607,992,563,084,997,006,611,918,364,213,291,
394,357,226,943,452,155,101,091,472,173,858,221,297,673,233,661,083,924,066,
705,311,169,685,433,345,188,968,044,647,920,753,309,922,297,939,692,632,807,
061,321,357,487,007,504,091,063,045,456,615,891,644,551,584,161,166,457,731,
868,763,528,346,942,245,449,898,632,418,636,172,027,805,989,639,674,698,368,
125,191,156,017,790,459,688,658,066,274,484,120,729,860,720,030,884,166,481,
074,039,829,871,186,952,909,406,348,676,948,814,122,728,300,463,163,991,236,
925,937,073,864,800,713,047,395,369,170,450,235,734,966,946,492,554,974,034,
251,252,165,506,772,289,662,208,547,581,015,885,314,313,918,503,659,993,902,
830,907,376,742,303,711,347,639,874,313,676,998,376,073,317,349,412,387,714,
146,036,711,538,419,197,640,573,764,963,865,318,262,128,344,029,104,542,053,
449,883,480,984,527,961,868,296,562,860,271,555,501,766,011,944,740,940,527,
307,844,634,792,985,806,007,941,498,393,329,501,696,005,717,124,146,825,889,
624,325,057,153,185,345,600,828,001,581,534,733,357,417,573,546,369,104,599,
212,603,981,170,362,054,651,375,719,447,712,407,539,669,018,679,128,113,275,
739,108,760,261,532,569,168,220,810,763,225,421,007,878,360,545,009,095,367,
773,231,577,496,154,138,687,980,980,871,489,363,032,224,623,993,910,838,546,
255,446,526,023,851,873,868,031,225,953,778,795,148,582,812,409,397,671,291,
319,222,676,865,080,526,932,873,550,051,557,040,586,620,599,060,128,456,071,
981,043,425,945,353,630,553,316,031,720,509,408,634,629,531,916,922,076,384,
954,029,466,597,801,751,980,287,800,692,050,111,939,389,844,151,245,115,540,
481,609,283,322,283,958,860,212,165,813,383,245,078,304,892,714,508,544,846,
582,306,955,126,549,027,265,153,588,111,861,686,002,527,152,400,705,419,201,
642,447,214,058,899,744,766,608,244,573,763,346,378,895,064,009,017,963,869,
854,469,443,282,071,400,544,673,526,618,697,935,519,925,168,274,567,767,387,
561,350,015,676,267,930,817,092,334,214,625,170,261,772,913,192,922,192,363,
935,921,999,807,789,187,705,235,360,792,190,111,992,019,217,097,097,901,815,
438,626,202,060,705,482,756,355,440,812,121,515,865,148,393,031,820,030,038,
150,991,884,485,015,880,562,382,163,306,228,626,863,763,597,871,221,098,363,
533,768,328,522,482,960,415,145,547,249,105,907,099,414,925,521,161,403,003,
541,957,179,800,771,590,513,148,942,548,140,795,290,260,187,665,912,640,222,
326,919,928,637,429,753,380,700,680,288,219,408,692,501,552,299,465,813,937,
214,261,067,896,223,059,045,896,174,545,342,473,947,294,984,001,696,740,440,
478,428,389,528,246,703,699,984,670,302,404,981,938,915,898,342,311,588,743,
287,479,530,730,252,935,066,576,903,685,321,155,051,319,588,568,133,265,012,
388,197,716,062,382,612,944,035,298,279,066,479,662,959,118,160,072,909,411,
799,596,690,353,592,659,424,860,108,375,151,900,010,809,352,715,127,163,393,
782,665,835,929,029,598,698,088,545,156,847,919,386,468,595,394,471,352,439,
511,950,228,493,581,603,239,649,548,779,386,225,441,361,977,114,590,210,409,
194,708,365,448,379,861,802,401,498,672,752,998,015,290,784,903,488,770,303,
780,573,523,439,946,437,426,076,494,682,077,721,942,166,086,961,351,436,616,
706,540,134,357,836,149,902,536,792,689,725,215,328,027,245,575,067,497,074,
831,570,652,966,726,552,047,704,156,514,566,707,038,322,119,077,579,342,319,
424,972,570,211,217,222,569,544,105,677,876,169,177,611,700,516,508,719,832,
161,266,047,965,329,112,498,753,380,708,722,462,519,587,443,078,255,401,174,
912,532,191,504,473,877,919,773,230,335,859,890,049,027,877,468,882,473,182,
350,587,975,361,083,253,153,284,906,268,598,731,426,604,452,301,164,222,371,
586,551,222,088,316,362,058,456,313,855,136,389,584,658,135,055,623,184,154,
136,019,554,790,660,725,041,636,258,905,385,075,635,385,635,385,999,021,808,
282,018,651,912,024,500,846,579,716,180,862,470,290,405,368,010,538,986,261,
963,931,408,062,613,729,456,588,249,736,279,826,800,555,045,436,658,772,508,
337,217,952,727,222,462,501,593,623,570,830,561,055,692,565,881,300,314,870,
604,687,507,757,920,065,645,778,514,170,062,379,674,205,199,090,835,117,511,
290,011,406,547,525,221,938,053,910,110,611,773,518,163,256,589,339,438,958,
146,872,973,584,209,609,832,574,536,929,157,830,228,401,757,992,878,082,484,
363,174,859,227,236,897,442,106,625,287,572,214,398,688,081,550,889,059,672,
164,528,745,507,000,889,446,128,499,935,419,213,585,838,967,417,268,433,333,
208,856,320,609,442,196,687,782,945,651,197,288,111,074,365,783,051,095,602,
178,240,862,385,071,685,273,211,953,812,209,792,480,513,260,781,020,454,750,
553,627,356,652,645,852,821,709,007,862,163,778,710,001,902,372,675,563,579,
005,864,452,548,381,513,731,335,126,516,029,724,509,899,008,391,228,747,245,
551,869,628,832,110,120,057,238,005,614,291,834,535,435,850,366,714,685,908,
076,103,334,504,150,656,664,482,367,503,160,517,033,419,614,383,061,781,948,
072,548,443,550,866,272,675,336,789,532,457,521,028,518,066,136,901,172,342,
989,515,079,515,463,232,293,021,044,764,861,323,452,453,643,447,118,637,335,
885,896,816,546,038,072,779,955,686,466,262,660,004,804,976,868,312,879,586,
745,545,513,987,417,119,963,301,925,180,146,352,357,940,294,042,161,371,755,
767,034,807,646,730,887,286,990,868,275,456,234,145,074,288,607,235,452,207,
250,346,828,691,287,365,221,371,694,721,224,654,831,506,232,517,658,387,401,
227,415,132,436,953,404,700,479,764,061,038,399,037,927,634,905,823,310,869,
671,728,271,938,671,496,944,511,057,591,124,101,241,569,203,096,771,645,308,
340,159,674,604,280,633,856,171,756,602,193,989,676,964,845,555,362,058,437,
478,169,613,688,415,856,402,670,295,185,314,827,537,642,739,584,764,849,233,
702,809,837,724,717,514,412,266,797,171,341,828,767,729,921,400,945,321,839,
177,752,953,764,076,242,822,976,619,465,830,240,300,606,220,269,698,084,959,
481,567,563,986,656,373,382,020,754,365,598,885,682,628,586,386,297,901,653,
667,438,718,038,842,121,754,829,377,162,715,546,872,342,667,736,627,283,080,
538,868,414,950,196,344,416,678,532,418,549,161,703,626,440,895,002,246,545,
529,884,448,858,309,843,034,879,559,623,760,489,487,706,910,109,972,130,067,
382,140,384,226,650,208,064,933,409,427,097,008,665,421,946,125,091,166,809,
590,772,082,855,031,271,351,095,723,593,706,377,565,459,014,678,698,656,195,
390,868,825,387,574,488,344,471,119,594,551,257,377,174,421,388,430,408,641,
356,240,014,054,642,680,610,176,983,359,643,220,127,755,516,172,709,244,424,
123,827,948,020,285,273,421,733,213,974,657,997,118,216,512,388,837,680,753,
948,192,486,145,160,204,579,946,313,985,544,467,439,262,755,609,922,086,994,
490,824,607,758,053,485,187,379,674,372,700,900,971,518,583,068,204,467,795,
860,601,632,182,539,326,918,345,520,401,941,492,897,282,281,127,014,066,222,
673,999,287,281,686,300,154,894,153,352,795,025,920,548,584,290,559,703,173,
386,934,409,166,333,954,197,892,208,854,830,056,849,958,236,784,579,507,460,
258,808,034,942,525,794,869,286,815,511,525,812,990,760,133,380,754,339,401,
019,507,720,558,805,044,872,750,492,017,301,568,258,795,972,269,807,188,313,
598,594,719,794,439,499,744,856,299,009,923,580,539,050,274,837,329,077,213,
948,034,514,486,787,225,919,139,620,279,566,891,665,623,203,710,164,059,488,
833,276,352,298,927,045,746,691,711,813,589,910,322,370,103,504,931,936,605,
346,863,735,382,254,439,650,054,412,094,854,579,587,963,501,683,793,759,288,
750,339,090,976,733,488,109,536,048,459,142,089,817,007,114,278,648,817,527,
131,114,946,573,266,998,273,008,470,131,778,156,571,315,868,761,153,812,690,
145,661,880,526,390,450,004,170,090,660,650,971,967,675,274,779,012,739,173,
234,653,398,696,874,447,938,762,293,952,642,000,071,514,108,781,707,102,331,
885,034,836,648,230,609,534,848,897,303,909,188,943,549,822,523,326,475,211,
697,747,200,075,548,653,221,139,605,743,638,038,319,018,175,958,093,590,859,
103,425,621,767,334,729,277,055,524,323,746,230,401,950,202,812,426,907,656,
857,857,478,079,530,793,418,699,290,125,270,634,978,965,958,734,676,085,121,
171,984,395,670,912,677,715,998,704,421,844,051,672,035,449,512,386,655,571,
853,166,492,395,539,927,167,537,584,838,420,068,055,520,108,868,677,656,293,
836,994,115,328,440,781,910,326,689,105,721,405,269,785,238,177,272,541,853,
553,429,489,665,890,361,963,237,474,569,954,547,873,586,942,644,762,017,915,
534,251,200,537,358,980,033,293,570,411,294,248,743,393,591,449,540,058,079,
797,611,904,118,561,501,878,733,090,270,418,358,961,099,640,645,390,128,274,
024,000,864,098,935,771,781,688,869,009,689,642,369,768,801,495,857,844,610,
914,981,874,791,424,845,855,682,268,260,897,020,337,524,002,868,770,946,811,
138,352,984,384,716,675,979,490,894,269,782,399,429,821,659,519,604,771,167,
999,364,874,828,614,978,023,540,610,489,628,976,118,322,033,232,614,666,481,
978,259,560,385,796,338,454,264,297,609,197,342,106,613,952,493,175,322,736,
499,308,475,738,119,156,188,747,632,014,202,641,282,600,518,108,793,638,801,
568,214,907,692,499,977,379,590,780,707,309,267,505,509,031,923,534,248,265,
421,451,819,417,039,740,471,769,904,237,488,793,724,563,640,681,563,036,944,
012,934,694,980,532,048,264,461,132,953,496,852,245,261,655,763,680,557,355,
203,944,842,975,104,633,153,737,152,879,230,652,443,846,022,056,891,882,015,
332,398,686,334,651,983,281,042,970,263,882,261,318,550,813,219,329,232,964,
556,101,931,513,268,198,426,109,205,915,349,330,378,638,543,875,173,458,267,
404,033,544,787,805,461,683,655,947,392,922,005,442,977,993,882,080,986,936,
882,906,702,865,938,551,903,494,207,636,161,845,536,775,032,382,032,675,165,
820,543,363,259,277,745,906,142,557,567,865,730,340,094,886,704,418,791,238,
547,049,764,802,859,510,155,831,398,331,168,050,938,915,921,705,832,507,517,
313,850,206,489,799,279,071,807,544,944,514,780,090,918,672,596,310,951,799,
595,906,520,599,808,973,308,660,653,070,405,756,220,154,999,270,164,956,536,
311,840,387,733,708,132,747,755,090,122,685,751,569,873,433,961,227,633,487,
996,821,014,143,612,132,367,486,429,237,206,447,067,204,823,936,503,889,547,
902,878,267,948,121,454,314,429,516,314,744,449,536,898,251,516,119,779,356,
428,598,929,091,326,884,050,797,279,159,316,608,583,798,197,363,044,073,929,
337,882,828,355,372,751,567,553,868,805,656,401,000,882,218,436,931,843,958,
656,067,288,406,043,173,801,407,005,563,055,625,045,117,971,918,175,795,034,
370,779,812,181,413,144,651,709,353,500,500,597,218,583,406,435,719,415,756,
933,522,076,627,233,674,845,076,831,936,849,029,684,434,204,085,964,227,946,
416,702,695,944,190,932,189,988,644,335,003,262,635,181,483,160,257,779,114,
296,382,269,995,718,988,862,723,781,297,317,691,616,350,991,760,846,418,488,
356,704,999,355,299,424,887,009,569,828,163,637,516,255,072,738,728,084,028,
595,496,827,585,003,282,715,352,678,440,900,808,335,157,117,549,654,093,990,
055,107,838,686,557,886,957,108,398,872,100,430,359,820,609,769,251,189,703,
429,385,212,034,536,841,644,573,209,308,106,114,902,903,965,971,940,902,033,
576,473,346,979,038,539,090,991,097,103,231,563,696,724,240,530,544,583,348,
478,200,812,611,679,105,675,354,573,644,826,792,095,456,098,919,468,577,426,
079,229,857,210,450,045,294,491,828,198,897,103,820,233,720,644,648,700,506,
201,663,345,585,113,930,891,923,022,075,270,143,952,089,733,037,684,482,868,
082,076,995,974,039,853,555,089,858,505,616,591,332,738,182,525,857,498,957,
980,316,174,976,698,702,986,199,239,038,503,626,448,003,056,424,195,485,636,
759,355,832,053,898,659,595,323,217,599,538,341,588,638,808,179,400,487,334,
990,092,158,605,577,966,677,050,272,598,527,857,891,988,331,625,492,405,133,
557,172,967,559,504,171,277,300,359,041,562,890,398,614,653,997,690,238,744,
710,855,568,168,589,376,553,216,419,588,846,935,797,048,669,646,177,137,196,
146,538,208,351,362,050,117,144,326,854,041,972,814,869,808,033,122,236,666,
409,270,681,051,670,758,211,945,088,679,731,240,304,351,314,886,111,340,942,
248,194,736,825,833,583,335,781,649,690,695,658,327,028,354,107,473,616,660,
170,508,998,346,952,478,864,307,996,996,998,056,933,383,084,280,182,553,638,
556,252,138,253,097,946,305,471,074,130,125,554,948,351,987,706,381,419,285,
549,231,124,284,457,062,752,965,681,658,927,712,008,638,966,695,035,823,872,
864,349,320,693,899,089,791,473,413,600,853,173,468,198,714,300,710,123,284,
188,940,215,917,051,979,851,514,716,481,563,783,476,976,184,912,988,765,499,
436,638,600,370,831,495,577,160,355,250,952,489,223,244,017,083,896,222,205,
091,493,530,087,704,751,186,395,556,419,460,565,411,405,805,167,421,207,343,
648,932,006,901,503,850,188,827,080,510,759,759,495,089,522,631,536,761,348,
302,882,921,454,304,282,997,593,250,191,146,731,693,506,624,216,686,506,542,
854,542,400,668,598,880,762,346,984,124,222,387,100,307,405,274,015,289,069,
315,126,824,840,753,109,081,587,104,087,756,433,077,192,568,957,175,225,361,
699,089,517,929,235,892,614,088,941,294,933,066,045,480,987,060,380,629,940,
210,663,790,037,038,227,274,416,416,178,734,521,932,717,527,376,145,683,883,
384,354,955,521,284,607,171,650,437,660,174,483,965,561,400,967,627,452,636,
476,456,608,048,014,460,493,854,899,288,190,777,922,229,335,484,598,424,216,
013,914,952,931,650,145,939,249,044,037,383,078,117,107,781,185,511,224,159,
593,901,735,421,937,892,425,388,729,234,327,049,552,573,134,039,292,355,867,
614,367,381,360,425,138,385,309,221,638,945,412,707,080,026,473,564,707,703,
957,539,092,598,878,433,267,917,268,701,514,513,331,454,377,361,012,573,320,
018,161,428,958,447,441,926,430,499,537,277,753,365,733,564,053,768,228,389,
965,481,005,966,141,373,629,874,322,793,572,240,708,155,854,036,787,249,015,
216,007,366,333,547,101,673,529,459,798,680,713,306,647,266,910,727,455,200,
712,445,706,433,111,515,581,752,800,173,958,001,720,576,733,051,823,081,834,
689,647,928,088,000,013,092,096,475,029,724,803,676,917,416,160,168,684,405,
085,838,985,824,954,614,513,075,838,164,673,662,365,364,476,657,867,779,307,
330,917,373,646,072,387,526,146,325,269,095,026,641,912,489,465,489,022,334,
951,784,660,418,102,448,244,090,874,285,237,940,457,681,391,526,160,728,691,
956,321,069,640,516,518,212,932,168,214,343,775,096,917,530,468,807,361,568,
970,326,828,627,997,147,455,066,846,995,066,314,159,017,751,819,449,509,608,
124,356,707,716,678,444,643,591,789,878,381,003,128,957,011,824,796,857,070,
325,190,369,142,715,290,231,556,899,888,920,535,785,332,447,027,360,814,337,
980,307,107,310,169,799,037,143,892,072,405,183,457,239,666,536,184,356,655,
148,982,419,453,251,067,484,868,819,472,649,164,377,528,372,487,248,045,151,
162,141,588,381,635,782,013,598,312,252,411,369,145,600,130,279,498,579,440,
683,806,874,925,532,210,866,598,647,054,930,716,223,735,409,315,848,201,777,
829,992,739,388,728,818,712,427,666,516,954,191,884,422,092,016,747,335,230,
926,939,850,599,823,254,435,416,007,460,771,219,446,543,699,616,800,758,675,
928,932,164,092,262,055,979,335,177,964,225,793,580,543,625,434,577,235,126,
573,257,909,584,696,696,030,764,289,459,682,104,792,029,782,507,256,752,420,
237,960,417,701,373,828,453,727,457,671,662,950,796,502,937,922,260,019,403,
835,577,987,996,592,885,461,038,764,545,961,387,580,526,672,037,528,763,738,
219,370,949,494,469,439,153,851,287,237,048,351,368,868,090,131,043,445,496,
924,555,527,328,977,974,004,000,356,465,130,705,283,986,023,074,459,506,604,
839,391,866,610,927,380,342,740,345,704,836,999,784,113,115,764,763,444,898,
149,224,427,588,182,191,118,723,375,376,515,179,704,605,145,576,740,258,335,
209,235,931,717,234,278,705,796,836,563,745,282,567,736,635,526,254,925,370,
794,330,566,509,608,811,074,811,755,841,982,825,570,171,122,714,429,778,696,
582,912,462,308,207,655,088,864,690,107,248,269,875,516,435,909,097,153,575,
864,667,933,134,779,360,658,523,808,941,079,722,292,612,946,287,510,376,211,
055,559,606,984,611,780,816,912,197,736,219,000,720,113,291,031,806,678,650,
657,933,045,272,506,352,721,539,065,585,174,046,695,096,863,219,595,433,826,
948,789,840,610,581,917,619,713,137,854,710,536,401,232,387,878,807,760,614,
258,898,309,171,681,787,948,371,640,852,124,031,737,794,449,538,927,308,794,
753,334,042,813,892,682,084,324,269,747,137,124,286,353,425,181,732,468,526,
359,222,017,910,679,657,315,547,537,622,605,960,089,350,150,787,878,301,152,
520,090,622,688,090,482,400,866,405,993,650,442,927,920,554,746,966,713,521,
426,975,545,925,700,303,189,902,061,232,725,149,114,426,848,491,878,618,949,
859,273,189,052,761,955,943,660,897,961,519,840,387,222,596,853,519,342,970,
696,392,670,716,120,609,336,473,639,222,174,046,079,201,458,346,494,591,649,
677,472,294,244,306,455,377,646,493,537,701,024,989,910,468,281,675,358,183,
459,094,733,815,247,521,764,073,893,539,140,447,035,395,905,680,769,191,237,
164,706,047,767,048,227,024,635,357,062,381,278,337,424,749,784,713,958,854,
860,503,771,130,600,768,986,704,921,286,306,194,955,263,668,658,801,013,462,
656,012,071,098,408,764,066,302,774,118,717,828,282,652,756,716,314,911,109,
454,089,514,310,461,585,637,035,908,846,063,908,309,169,690,147,120,424,794,
994,812,658,272,840,822,420,723,827,187,167,047,031,105,981,794,204,254,844,
273,275,291,754,808,984,010,063,571,577,509,861,089,315,970,159,660,113,841,
058,610,143,218,491,423,077,838,116,603,748,829,805,592,344,520,536,118,129,
804,521,560,731,863,857,673,733,518,849,251,332,402,184,622,143,823,480,568,
752,826,364,903,514,817,469,457,718,047,672,237,932,982,115,706,461,765,308,
318,208,521,593,953,612,119,628,276,845,654,605,191,580,144,650,594,083,039,
144,256,617,847,986,889,682,902,881,705,833,757,940,952,413,012,871,196,516,
856,158,350,912,288,414,724,935,660,105,755,096,543,018,450,522,628,936,103,
806,758,731,514,976,184,517,216,503,740,662,129,685,556,090,360,463,225,965,
255,308,146,927,907,877,389,203,592,536,401,193,906,138,345,960,402,909,430,
696,922,101,058,966,860,428,727,880,907,368,458,554,903,947,116,142,508,359,
568,130,741,872,462,553,001,958,929,942,493,200,991,242,220,911,597,160,818,
636,249,049,111,843,032,830,101,238,813,356,780,681,494,938,522,249,516,240,
345,131,121,366,844,719,341,248,081,660,554,900,225,914,330,424,881,523,505,
795,749,214,600,396,718,166,332,169,352,800,780,282,133,378,592,403,449,321,
800,118,006,897,155,149,200,432,752,518,810,118,192,095,541,224,742,134,043,
463,024,481,843,423,123,391,304,800,399,223,076,998,405,122,444,856,595,698,
117,221,154,426,977,194,213,466,794,089,497,386,097,368,635,406,941,486,866,
312,872,257,808,058,655,302,508,810,938,118,635,370,992,999,983,104,980,378,
658,336,402,138,467,413,895,110,931,225,600,473,103,650,057,549,187,389,073,
552,640,654,777,422,370,607,080,063,553,970,233,189,320,157,359,934,342,068,
516,071,953,746,715,862,448,604,570,323,100,246,527,459,529,572,682,267,072,
399,984,141,045,149,091,545,548,364,556,376,228,131,693,227,145,242,468,640,
675,415,221,583,963,890,787,438,850,332,972,709,346,530,145,068,888,345,695,
372,740,490,139,390,693,379,103,503,224,588,279,347,820,343,944,669,378,212,
329,668,887,840,308,068,120,173,795,088,706,813,322,841,517,236,966,930,550,
864,511,438,826,370,255,173,755,427,485,549,513,615,473,767,732,580,666,318,
516,427,893,761,286,599,681,740,253,573,805,358,938,549,823,464,149,959,197,
700,036,727,153,680,730,150,892,846,329,176,236,413,941,690,935,528,959,401,
857,434,733,845,993,301,608,588,552,213,785,726,365,239,385,628,613,323,750,
909,265,320,380,636,587,398,611,345,813,093,712,954,807,164,078,530,185,004,
084,842,358,900,781,998,873,531,366,482,012,962,911,507,633,484,827,347,077,
065,505,888,389,059,449,012,974,061,417,874,328,500,697,719,871,033,943,942,
727,256,721,860,943,995,372,079,363,789,960,864,427,943,387,761,163,133,800,
506,398,333,449,466,170,529,052,983,642,060,505,467,521,519,614,232,775,589,
737,268,267,201,908,936,937,043,247,954,386,470,231,690,439,432,566,500,744,
301,525,491,769,839,130,267,456,503,221,943,494,587,962,344,892,175,699,687,
064,641,888,364,313,240,049,243,614,983,003,378,684,352,457,237,057,906,796,
530,536,074,820,346,989,023,857,326,567,992,447,907,329,416,336,796,959,198,
031,090,923,175,021,259,602,432,293,819,512,726,968,515,447,193,896,437,413,
270,668,631,931,718,662,371,694,028,221,448,077,348,221,716,465,341,880,911,
800,044,812,385,148,507,363,228,527,151,736,107,667,964,941,958,836,484,534,
118,367,795,284,468,339,241,187,783,194,957,069,265,141,699,691,041,885,855,
880,497,046,469,723,777,887,674,854,228,492,565,744,670,116,099,949,043,702,
782,649,448,517,978,288,438,096,099,130,125,501,211,676,326,050,942,362,231,
814,176,642,781,245,427,820,437,063,552,177,387,762,126,214,551,277,642,853,
828,357,843,927,464,813,855,440,527,575,657,400,887,263,963,713,423,832,314,
893,343,868,614,618,798,523,362,112,683,843,060,299,346,635,991,959,187,909,
452,882,267,980,257,962,916,365,099,662,627,058,182,007,207,741,314,391,718,
070,074,002,868,433,352,476,072,430,031,841,540,107,430,081,809,014,562,238,
596,926,902,828,632,975,066,061,494,270,503,067,916,160,394,681,357,753,392,
521,219,460,080,483,235,193,401,745,450,291,906,347,435,709,384,657,774,111,
328,925,893,568,095,600,847,108,399,602,175,545,835,947,991,745,283,344,985,
788,303,247,855,234,798,894,642,951,139,961,562,910,271,600,422,906,488,962,
444,473,254,797,368,134,821,914,590,754,433,085,882,949,204,402,712,696,362,
820,621,611,351,320,698,335,102,785,323,108,199,879,197,897,461,480,872,418,
549,895,959,011,713,739,603,250,655,420,425,371,015,302,324,489,057,291,952,
029,321,324,245,137,544,380,271,754,396,143,405,642,757,142,576,245,657,236,
662,469,374,001,306,091,295,485,694,712,656,163,266,004,985,609,742,194,788,
764,389,373,961,772,299,363,100,798,737,641,318,737,548,009,476,560,859,801,
627,846,612,646,884,994,288,440,533,181,958,839,670,123,752,904,413,473,051,
574,502,875,227,824,001,279,863,862,583,384,435,794,605,865,621,063,683,381,
689,418,268,913,218,251,483,292,465,440,288,389,065,896,188,806,666,671,850,
363,328,859,212,409,935,302,298,914,242,172,287,052,207,452,238,689,613,940,
342,184,174,523,723,780,912,583,583,149,500,757,640,180,161,777,811,454,911,
803,854,378,878,885,893,899,571,063,441,835,932,220,590,297,800,941,462,905,
648,853,170,989,245,303,033,524,110,524,447,856,253,988,043,623,090,684,550,
870,193,182,396,692,041,156,143,739,544,481,052,145,081,701,871,962,115,877,
176,315,444,191,507,590,350,108,980,484,553,217,671,176,078,838,956,060,212,
495,505,684,589,907,697,049,578,510,874,955,821,232,252,336,399,149,695,876,
062,924,899,741,994,808,909,741,111,189,891,408,018,223,497,552,522,574,123,
783,456,111,668,469,075,477,662,030,596,140,349,471,942,239,598,718,696,225,
314,630,682,028,253,936,168,810,862,572,793,382,670,665,203,395,372,162,712,
652,262,916,528,214,048,304,611,773,256,395,620,007,684,412,007,406,518,067,
070,120,957,479,394,016,361,941,766,669,889,560,876,748,371,545,746,036,676,
360,065,972,237,473,319,816,442,299,144,268,312,179,815,096,030,895,617,409,
184,281,779,817,407,231,462,786,017,334,234,796,033,206,177,612,105,792,426,
343,884,489,723,348,180,982,554,335,425,969,628,818,587,854,510,978,984,936,
117,948,782,313,673,558,770,498,145,665,753,748,422,204,424,227,936,785,957,
290,484,236,536,313,060,344,856,998,875,970,409,179,422,936,015,267,729,803,
835,409,895,385,061,733,462,658,954,193,723,331,865,739,465,229,551,181,885,
083,814,154,347,586,300,628,484,492,259,427,416,402,638,111,311,353,824,711,
752,057,974,847,277,734,732,724,080,357,210,180,648,355,995,671,171,563,712,
503,777,084,132,405,398,318,562,486,917,670,479,481,796,699,822,260,943,097,
195,101,730,775,599,031,956,340,437,549,874,021,293,312,091,900,701,313,638,
457,966,269,589,732,196,900,934,592,964,667,282,667,550,232,579,855,309,402,
542,370,479,276,752,604,650,215,619,803,165,273,146,044,787,479,105,752,938,
115,104,471,752,065,895,677,398,498,011,320,184,666,492,890,824,799,708,146,
015,954,590,948,541,232,682,054,410,784,715,568,977,401,299,712,031,514,146,
573,783,339,433,000,617,054,781,675,679,315,522,802,913,460,458,742,917,151,
496,721,097,238,582,171,850,214,683,954,416,710,045,953,212,661,119,529,575,
057,007,049,140,967,367,985,436,351,880,504,811,881,403,723,076,342,777,341,
982,764,411,225,237,191,692,565,448,343,780,423,740,759,545,764,193,432,567,
510,136,758,679,798,979,765,245,944,496,302,868,044,441,072,624,683,982,636,
302,904,001,985,466,922,084,295,762,884,295,565,111,283,254,806,300,242,357,
233,977,886,442,283,218,071,847,156,495,832,299,760,899,687,390,705,012,818,
386,935,889,510,314,231,936,930,295,440,793,043,507,481,248,226,130,422,112,
436,537,780,677,021,225,921,829,415,272,012,955,014,892,210,358,061,964,211,
358,896,640,290,801,378,605,259,702,682,275,782,008,296,934,133,326,802,591,
807,734,430,510,633,193,174,033,289,626,957,273,064,060,148,957,457,691,992,
780,663,521,432,305,824,124,316,151,622,083,281,476,214,353,487,241,184,497,
291,333,768,483,116,656,382,460,160,118,563,912,421,598,984,699,227,584,013,
904,095,245,988,619,563,941,378,595,544,801,438,369,532,422,303,196,816,407,
143,086,518,511,679,515,125,231,628,821,747,644,283,626,477,162,655,821,359,
221,318,558,103,654,369,471,610,269,277,293,985,892,036,163,564,949,354,591,
516,295,796,145,660,261,703,077,746,348,189,476,166,885,469,168,592,141,403,
780,516,285,808,477,666,837,121,224,649,866,159,732,497,103,433,603,410,919,
595,726,558,369,169,933,181,101,826,887,246,716,127,205,065,111,299,549,946,
096,918,391,227,679,182,300,444,984,287,559,458,461,754,751,935,816,623,909,
439,796,955,702,806,415,452,850,316,371,322,767,884,606,492,870,539,034,163,
209,243,779,717,586,625,801,700,558,066,129,736,368,288,457,333,081,845,487,
654,743,220,777,726,280,244,118,121,912,564,882,977,235,574,343,411,608,214,
248,936,998,297,753,487,119,766,562,940,700,992,616,883,281,130,139,699,437,
904,034,993,272,905,686,957,717,721,870,408,607,255,471,122,329,819,430,914,
439,199,706,934,552,950,401,830,382,628,597,173,474,270,226,050,597,000,132,
185,892,535,584,684,662,425,558,674,361,873,034,823,141,908,423,951,858,471,
251,588,191,968,303,227,231,693,991,435,818,937,002,372,963,075,321,737,782,
175,605,436,240,014,748,605,837,995,205,975,216,675,425,034,869,693,096,904,
625,340,495,922,802,494,167,829,006,737,536,685,783,921,045,813,501,619,559,
858,178,908,901,997,201,815,192,698,998,500,707,822,707,284,665,653,563,585,
307,862,124,830,622,642,232,604,054,913,037,594,890,466,709,894,296,402,770,
539,836,401,451,890,220,037,925,117,956,724,474,202,567,008,669,567,201,834,
151,972,638,397,831,877,869,045,909,018,889,004,493,573,643,488,325,319,905,
266,472,181,811,244,971,489,712,413,735,750,818,694,577,212,740,484,142,264,
536,290,719,883,465,648,931,006,418,201,144,559,018,772,834,085,774,785,090,
890,084,791,997,174,023,218,699,561,492,099,655,979,326,309,559,017,587,305,
739,327,574,011,945,080,406,519,608,442,647,858,692,636,234,398,915,114,543,
046,585,360,027,158,910,218,314,613,259,745,526,690,229,233,506,561,209,760,
948,365,274,723,402,163,298,581,795,868,726,027,330,028,593,259,679,606,722,
570,924,380,918,271,980,862,540,878,609,050,694,351,843,046,207,552,173,639,
729,299,633,686,648,190,432,997,462,811,564,722,179,175,584,241,138,795,478,
124,326,658,442,363,130,707,749,885,724,770,828,923,618,515,426,050,942,994,
644,351,536,105,615,336,819,621,573,026,246,357,453,920,840,232,764,317,837,
190,258,687,396,052,103,474,708,971,087,510,374,872,566,633,195,650,401,518,
697,049,793,991,076,862,083,219,610,471,594,741,282,092,908,388,722,764,671,
263,985,827,784,179,658,661,940,096,283,403,698,314,664,857,770,009,157,774,
776,592,883,154,651,262,941,248,584,596,067,668,094,597,883,375,946,697,279,
587,208,566,614,878,749,809,758,186,584,894,344,541,400,454,977,379,384,507,
916,850,025,903,149,521,771,365,283,333,508,936,179,970,978,269,020,317,727,
942,391,669,274,425,352,397,083,738,398,942,817,961,558,992,363,882,885,707,
879,489,426,478,235,126,172,505,431,599,317,470,456,607,090,182,124,808,149,
442,350,377,860,107,331,225,783,425,250,356,238,117,057,574,336,007,504,225,
534,507,185,412,544,182,065,079,767,053,238,926,575,030,598,182,421,212,245,
339,690,833,109,937,606,875,532,877,604,193,475,529,137,562,059,326,761,608,
332,095,156,939,595,326,354,025,675,255,070,082,424,303,773,082,050,690,854,
209,188,059,681,793,419,234,148,543,680,538,147,181,606,277,216,159,262,187,
800,777,564,082,983,583,236,466,580,684,625,668,003,106,235,036,334,057,585,
280,790,335,123,848,108,390,568,862,285,957,242,721,050,693,294,116,848,380,
428,797,132,133,343,504,789,007,692,138,609,903,138,311,150,739,220,757,421,
659,151,611,239,853,558,882,945,739,687,509,799,744,179,976,074,878,064,712,
344,944,309,197,314,705,784,508,140,742,859,636,286,261,331,857,135,143,592,
488,534,279,187,708,153,453,381,814,269,720,349,331,015,532,800,983,586,249,
301,307,631,178,824,102,113,558,947,255,854,123,021,157,294,576,508,654,462,
994,091,551,449,689,216,655,744,549,156,631,771,376,001,983,908,056,757,150,
722,490,638,044,238,779,762,721,572,120,785,008,135,951,359,572,085,545,771,
462,590,991,384,049,159,778,231,492,854,195,657,261,059,424,972,408,723,287,
957,770,263,589,452,484,239,572,672,557,736,321,852,715,236,214,620,001,413,
628,144,765,989,517,985,738,839,344,179,630,522,032,016,698,840,879,582,872,
611,838,833,321,651,271,426,938,921,991,855,741,587,905,584,295,123,464,197,
697,702,191,015,411,854,415,708,436,122,160,031,555,752,508,317,111,837,548,
494,788,908,096,762,569,847,337,680,766,175,885,089,337,556,319,387,255,951,
579,218,357,984,276,997,125,408,960,348,965,454,549,701,899,434,740,496,857,
704,725,480,061,981,555,395,144,096,268,840,041,958,100,238,317,621,895,128,
250,891,073,878,540,439,152,557,368,829,010,857,664,016,301,888,218,924,769,
049,234,687,634,739,550,299,726,281,071,517,767,563,108,142,905,405,883,989,
008,914,630,164,904,801,858,099,892,349,278,746,565,896,706,843,438,451,198,
764,783,835,133,067,785,191,719,771,004,780,597,925,067,534,914,523,366,658,
167,227,101,881,517,388,879,578,249,691,490,887,630,714,697,006,361,777,469,
669,602,528,552,844,892,035,274,140,616,859,233,736,185,601,650,880,211,928,
144,041,888,760,613,498,623,919,709,566,385,183,997,969,900,593,066,004,684,
920,971,730,441,134,926,410,129,222,093,248,061,623,177,551,392,298,296,029,
650,193,220,900,963,647,024,010,717,653,619,065,465,602,305,703,617,971,424,
121,295,426,352,721,775,348,019,064,306,119,622,187,475,794,316,420,538,355,
747,709,370,936,958,617,968,996,931,685,464,195,497,373,184,595,519,693,822,
368,186,605,999,967,897,642,398,211,484,541,408,137,094,782,997,140,782,023,
510,737,245,320,100,935,326,128,450,608,087,171,225,452,453,926,513,058,833,
831,094,292,579,012,715,395,331,016,268,059,846,826,123,238,398,586,369,498,
407,915,635,590,504,835,414,212,857,909,956,097,245,189,192,576,734,890,965,
297,816,607,792,085,761,445,663,301,261,920,722,334,587,545,747,632,211,811,
537,768,195,022,344,501,596,031,759,830,203,068,548,465,578,633,454,687,778,
833,202,069,668,682,295,738,166,474,261,821,868,067,676,252,511,831,881,075,
495,922,189,592,820,875,533,536,818,724,601,049,891,939,542,242,653,649,704,
577,640,907,370,947,758,524,335,169,169,501,640,695,658,709,369,881,129,061,
803,115,470,460,291,293,175,359,876,924,203,502,816,269,044,300,853,114,147,
347,983,480,592,106,313,770,133,521,984,427,005,191,892,052,959,647,065,986,
166,589,230,422,189,002,113,486,914,701,435,198,709,232,593,744,972,047,489,
293,720,764,150,168,067,122,596,935,486,295,719,227,041,091,631,517,111,372,
648,572,323,166,312,938,737,824,595,654,051,370,825,658,132,986,342,074,118,
828,745,210,690,072,864,185,503,460,337,902,566,367,196,209,789,665,737,109,
440,511,555,928,657,109,787,191,797,285,456,099,473,207,684,012,679,141,605,
054,759,556,057,119,024,182,076,095,515,804,295,979,287,286,558,441,278,810,
376,316,176,638,041,577,374,397,303,482,278,672,492,602,165,117,822,849,837,
411,935,573,195,952,009,518,634,305,757,425,813,058,940,287,130,391,806,752,
467,172,870,261,364,348,281,559,454,238,422,144,231,135,446,072,076,557,960,
137,857,631,733,176,688,448,892,394,889,512,355,500,226,066,427,202,061,018,
564,298,634,637,862,667,010,688,416,754,581,857,308,137,030,730,834,531,590,
984,780,275,080,677,478,328,568,761,714,011,923,573,793,423,465,989,117,260,
609,712,874,166,766,262,061,514,237,686,484,418,528,210,251,625,795,014,168,
294,459,989,893,349,582,415,621,346,812,068,354,033,940,160,231,484,080,596,
506,585,498,559,151,045,783,845,175,416,041,133,326,193,443,655,382,304,292,
348,713,160,279,614,712,624,528,542,415,474,883,784,150,688,770,831,700,924,
404,820,868,584,863,323,367,181,264,697,947,499,786,542,188,941,925,776,301,
088,386,428,272,722,060,673,120,733,986,534,313,471,436,592,599,240,826,972,
275,441,333,062,382,040,468,673,474,904,066,468,787,355,581,563,803,355,368,
238,313,534,014,071,685,966,367,247,620,381,642,078,124,724,949,727,808,191,
059,823,560,540,546,411,939,158,626,215,423,447,311,078,411,952,257,733,375,
419,701,668,476,701,163,113,781,442,551,496,645,031,491,821,983,931,466,663,
498,644,849,163,771,029,777,572,238,227,999,470,664,083,947,558,650,041,880,
509,499,698,567,876,411,489,486,731,655,743,036,735,776,966,225,716,013,376,
462,676,781,569,513,712,438,325,988,216,071,437,403,408,549,627,508,029,228,
253,351,593,610,371,304,517,691,815,965,196,896,381,480,824,930,135,210,255,
262,410,071,222,645,001,511,216,949,209,620,615,237,447,100,913,351,187,777,
082,149,036,311,645,274,228,057,253,379,417,521,647,776,385,082,543,918,919,
031,378,260,606,609,334,526,868,133,210,651,667,279,968,572,365,540,440,080,
441,596,313,198,470,398,341,759,120,405,061,408,907,131,620,812,563,052,335,
231,225,525,496,348,811,061,226,485,460,702,118,912,510,899,542,754,752,398,
788,454,561,948,234,086,239,583,271,629,998,011,563,024,153,037,897,473,073,
400,877,987,395,511,909,570,116,939,935,013,645,325,953,449,137,048,141,651,
591,457,796,535,897,409,550,097,438,319,618,742,646,881,593,916,151,047,583,
771,644,575,696,452,239,189,822,294,291,740,144,301,532,264,337,900,521,620,
592,536,128,916,380,422,109,693,851,274,232,906,764,572,701,439,040,334,473,
434,959,259,816,338,651,864,218,462,462,619,831,278,553,152,377,434,439,976,
416,398,520,837,377,055,937,400,017,274,715,344,223,310,630,813,543,425,842,
259,974,722,498,583,266,632,381,715,969,114,133,439,852,655,752,903,175,869,
960,096,072,815,306,868,159,724,282,529,015,467,782,240,990,963,190,685,956,
413,360,522,516,581,612,477,516,206,590,533,329,004,195,182,089,873,594,658,
165,499,961,124,088,799,587,794,645,907,989,618,307,231,985,130,544,068,939,
667,568,960,369,953,389,813,037,152,131,382,375,535,703,199,823,178,664,484,
204,224,309,679,201,864,712,498,880,805,483,054,519,733,166,459,670,853,589,
393,072,677,165,396,133,070,450,959,624,942,058,694,594,992,437,392,311,674,
126,498,322,743,893,690,976,234,838,949,115,691,141,920,955,604,962,799,843,
150,862,627,674,714,038,292,906,996,695,444,492,036,879,042,607,130,964,779,
370,545,100,911,399,762,977,591,508,606,471,766,896,681,498,900,760,234,468,
796,653,613,452,144,909,124,211,891,085,189,620,049,007,968,258,773,366,198,
797,390,152,957,902,900,306,683,058,030,093,872,250,881,003,056,615,947,938,
834,277,533,431,221,942,850,376,644,620,397,394,921,932,570,818,864,363,328,
536,937,914,924,242,565,844,369,383,872,013,013,078,098,518,106,303,942,242,
193,646,326,984,746,584,742,175,421,511,011,489,878,817,695,314,038,523,822,
839,248,138,227,377,775,663,927,102,823,491,652,420,845,526,351,149,796,846,
005,680,653,600,327,690,579,445,172,365,190,602,724,201,640,780,598,313,880,
231,135,910,546,860,442,416,762,905,652,690,319,943,111,944,506,774,909,183,
257,167,074,533,321,221,590,488,311,329,360,490,981,527,747,555,593,842,343,
186,947,602,668,780,077,899,393,234,770,431,522,383,197,147,950,004,391,524,
296,066,368,781,153,384,852,086,957,825,884,291,683,937,320,420,109,295,297,
728,900,765,081,610,075,147,206,594,494,003,566,813,438,429,747,326,996,873,
402,877,965,437,033,245,681,489,989,970,213,182,202,053,477,960,112,612,692,
360,768,571,337,678,300,121,945,458,775,198,478,377,958,197,754,807,580,695,
591,556,953,757,873,148,449,095,233,402,643,208,695,486,133,388,222,629,200,
312,044,101,772,475,988,494,316,988,656,662,411,544,980,337,315,316,211,476,
311,864,128,182,455,647,912,210,262,189,822,433,930,307,766,849,501,542,727,
551,925,147,269,744,961,717,657,677,139,228,467,826,150,035,403,019,716,772,
902,705,585,458,470,037,117,416,169,172,023,643,694,614,759,578,569,272,465,
379,567,970,088,328,375,431,119,356,524,161,248,891,894,887,693,498,219,439,
609,744,312,255,208,468,467,577,181,566,915,521,236,304,162,352,980,013,408,
186,464,424,517,702,930,915,721,004,373,126,586,146,224,913,927,219,639,040,
911,864,825,537,523,273,316,205,416,562,070,967,562,353,941,860,941,158,781,
857,390,937,487,524,446,875,302,528,321,082,718,192,088,855,518,756,652,166,
709,371,364,541,325,147,065,778,585,247,198,133,614,378,664,954,930,275,903,
211,021,937,954,001,105,398,869,994,113,252,289,214,235,727,214,927,100,291,
373,854,365,456,258,494,078,914,981,766,359,185,134,146,439,310,330,057,160,
895,132,087,392,637,531,165,681,014,757,859,167,255,075,234,537,433,215,999,
729,388,028,006,294,735,325,070,869,424,761,613,993,260,231,945,069,066,586,
144,675,160,644,172,772,319,446,752,977,203,491,725,218,986,422,687,016,394,
242,137,444,652,204,089,864,455,410,459,441,398,255,815,387,023,923,321,412,
441,298,397,830,527,835,063,681,691,414,730,868,884,369,578,865,010,569,384,
077,501,158,529,062,542,807,032,631,308,385,170,621,635,724,873,076,414,967,
858,116,237,200,667,711,976,834,627,150,851,147,225,222,083,286,540,061,232,
383,508,479,802,319,493,945,582,954,982,975,529,079,277,780,406,071,157,951,
333,055,748,011,714,254,204,674,793,158,508,017,442,819,115,339,003,169,607,
034,728,483,261,525,720,309,614,941,335,494,483,419,003,128,352,151,289,227,
604,285,520,144,817,311,036,121,544,611,391,349,503,988,068,165,782,807,970,
569,602,186,581,800,287,914,855,927,884,724,362,542,772,903,016,023,267,849,
570,011,234,613,576,170,876,927,024,429,076,336,482,749,773,497,431,607,961,
069,549,451,188,738,190,528,446,783,933,630,565,259,960,631,126,860,316,489,
383,816,222,713,764,565,371,279,097,015,710,496,801,477,580,205,323,897,418,
790,980,582,255,194,703,424,507,633,996,271,100,808,990,921,501,689,640,758,
423,698,701,543,442,355,213,243,504,458,164,424,858,476,352,225,460,103,500,
561,990,975,146,451,230,334,556,001,673,499,220,202,486,507,172,577,701,562,
415,346,334,459,871,864,175,332,712,484,561,726,317,161,149,386,790,773,182,
418,863,266,689,427,549,092,343,693,616,882,196,704,462,310,459,836,529,770,
268,906,218,551,271,166,833,997,105,544,882,899,063,050,053,680,374,216,801,
517,886,040,301,213,471,482,815,599,068,675,953,356,799,619,028,556,185,485,
862,539,371,405,111,960,231,017,071,645,393,279,644,198,355,819,874,921,419,
157,279,829,903,714,162,306,248,592,353,232,975,794,194,355,986,501,203,370,
714,275,640,248,318,766,721,359,280,814,901,278,935,879,492,680,018,444,086,
732,973,894,898,399,407,219,081,785,554,154,251,892,694,913,970,640,852,302,
969,173,304,554,740,185,669,644,060,735,133,327,917,148,861,596,750,730,254,
512,654,558,603,029,511,979,043,326,230,417,148,793,276,030,819,471,422,037,
151,543,973,921,826,806,345,529,709,458,208,282,275,703,068,627,381,321,038,
788,939,745,439,219,498,057,099,775,228,221,735,902,159,626,366,064,018,762,
079,297,717,929,075,686,184,151,821,903,413,995,159,535,440,730,029,737,201,
446,225,551,892,729,000,790,647,104,373,244,977,907,107,612,348,533,253,848,
923,433,758,013,606,159,741,017,380,042,547,787,078,981,458,824,506,319,294,
855,581,329,501,238,833,859,609,669,736,562,450,171,643,096,082,447,578,370,
815,328,018,650,416,489,734,021,555,465,555,369,083,546,133,986,113,786,329,
502,109,547,793,435,479,393,494,092,372,097,319,904,028,199,224,968,268,215,
885,737,191,946,462,032,208,246,201,267,427,202,328,279,775,491,683,200,932,
730,817,279,367,835,020,626,780,479,525,884,475,654,560,411,695,871,362,255,
790,128,096,984,867,797,842,896,954,028,698,359,851,354,545,807,093,098,853,
158,300,325,155,967,053,650,852,222,877,753,075,196,974,459,558,007,082,134,
394,619,811,611,328,695,922,185,066,205,617,756,588,502,520,015,595,698,088,
424,715,727,951,903,189,912,897,654,380,127,176,159,527,339,335,743,113,445,
244,020,899,982,685,980,923,507,064,333,889,203,002,010,285,928,528,419,178,
715,226,506,652,721,741,537,918,216,200,593,470,790,917,552,556,257,584,383,
918,383,339,493,509,888,395,841,933,983,741,008,978,803,739,485,932,034,388,
538,080,226,494,165,496,469,269,173,387,121,694,536,448,006,442,806,349,360,
469,118,023,457,697,413,875,076,421,492,431,604,126,195,386,043,061,892,507,
274,687,678,874,161,640,359,492,001,059,293,754,635,419,160,896,371,561,061,
998,972,570,224,296,034,048,432,316,201,825,180,827,246,302,193,264,975,557,
848,755,828,623,455,074,591,460,766,789,244,621,387,159,223,791,321,912,018,
654,763,344,019,439,429,049,306,238,737,322,587,273,344,621,385,018,378,168,
503,153,846,451,953,971,259,075,033,825,598,832,188,828,811,039,373,380,425,
005,304,904,124,137,329,457,690,873,955,043,296,077,137,650,521,712,879,409,
851,661,925,974,230,940,970,568,858,374,800,969,932,805,455,743,389,994,002,
263,300,707,960,451,696,851,895,963,767,850,835,494,218,358,606,965,902,448,
515,947,800,255,068,692,770,333,350,895,383,872,814,938,166,307,634,839,681,
763,343,703,687,308,470,235,522,085,295,253,035,834,911,280,275,142,804,140,
558,483,989,182,201,435,769,451,242,255,015,224,279,625,932,839,214,715,459,
636,378,998,532,788,775,699,232,118,638,805,665,109,294,480,205,882,799,578,
682,934,247,379,076,117,961,934,045,727,122,541,321,290,303,811,489,486,834,
126,731,104,924,765,345,217,309,622,034,043,050,784,010,364,941,197,741,677,
286,019,039,880,104,369,843,103,665,945,868,725,298,165,765,320,823,453,098,
699,960,673,321,462,035,169,443,679,761,139,327,507,819,664,405,207,564,497,
304,066,961,828,296,468,040,664,939,489,286,061,585,099,054,088,892,288,262,
735,396,281,445,101,132,684,475,654,451,438,204,984,672,450,902,914,859,727,
539,823,102,748,417,275,714,829,938,021,753,955,530,157,775,235,865,886,460,
736,062,510,059,558,162,631,884,771,782,571,213,888,167,365,706,016,859,681,
595,010,047,560,881,473,484,714,298,494,480,056,797,133,458,616,403,628,655,
696,979,763,193,033,855,259,792,740,560,026,641,225,013,070,704,842,236,973,
526,174,425,851,354,292,202,096,927,761,280,827,617,984,932,031,187,490,031,
822,684,104,331,002,284,377,770,384,352,619,636,058,866,148,404,513,878,975,
471,406,442,031,470,112,363,202,030,011,061,177,704,475,821,748,066,623,522,
607,147,913,858,893,468,370,437,923,108,695,278,963,620,816,952,925,803,392,
685,667,712,510,041,014,791,202,349,891,936,206,822,572,772,747,345,719,998,
099,689,246,790,645,926,764,700,300,656,732,641,487,307,140,219,125,035,674,
545,674,403,979,339,791,593,008,678,570,306,258,167,848,478,755,972,508,619,
048,909,719,627,911,988,263,010,433,281,741,545,880,655,256,735,645,143,965,
666,928,418,232,448,644,300,060,897,973,249,339,506,001,545,591,711,960,172,
276,463,842,677,762,742,767,524,976,769,014,563,535,412,268,099,657,780,394,
060,954,409,561,459,551,271,645,428,386,006,125,784,846,429,566,238,709,125,
632,206,631,652,740,046,985,491,267,366,047,113,522,137,958,312,958,294,719,
234,653,101,215,056,628,686,840,372,208,571,846,023,426,229,084,665,033,755,
725,650,946,816,949,726,171,136,954,015,928,068,210,804,118,423,199,438,597,
896,914,822,615,690,823,445,722,934,541,884,340,803,803,190,302,541,994,096,
166,888,932,267,080,667,024,465,482,646,508,242,893,631,412,377,100,434,233,
110,058,189,647,375,583,268,964,184,065,796,797,687,170,288,279,206,800,450,
541,623,144,629,729,406,570,853,562,979,083,315,587,960,887,993,335,994,586,
199,060,772,544,504,306,161,357,593,913,427,012,169,787,380,900,985,323,507,
236,513,706,627,385,207,267,315,220,490,553,541,531,322,727,574,781,337,057,
376,231,949,145,503,901,182,913,455,593,316,034,443,456,991,949,694,647,225,
016,049,515,467,505,290,352,241,040,076,763,077,615,426,534,829,251,004,890,
846,798,894,193,836,929,633,620,861,686,354,700,671,679,153,070,968,511,958,
172,680,071,338,594,191,879,253,145,328,800,593,188,282,098,388,811,430,220,
688,883,296,837,531,263,377,642,318,379,049,478,178,463,113,361,582,715,330,
177,087,077,176,226,830,370,980,104,863,535,491,765,101,922,855,159,016,136,
473,636,880,327,553,837,878,545,122,596,243,996,105,313,711,793,280,060,903,
545,237,325,294,215,247,521,386,379,120,677,541,703,428,648,399,875,124,977,
401,537,259,111,468,264,232,362,381,824,110,364,461,044,243,526,551,554,476,
847,154,804,061,569,388,431,197,149,630,862,766,832,528,089,667,600,986,445,
399,253,626,549,279,482,102,107,902,831,259,643,073,310,218,573,874,380,921,
713,348,377,516,985,100,319,396,890,128,689,750,369,630,594,258,460,473,602,
504,234,638,847,210,940,530,002,044,464,756,061,625,733,102,216,345,775,318,
452,454,598,797,450,440,297,401,572,211,635,270,476,336,157,655,971,657,672,
441,210,953,238,401,857,711,366,941,576,994,375,284,130,686,980,425,550,272,
038,817,520,262,577,109,627,918,047,622,016,820,903,571,848,206,812,812,852,
944,248,370,891,002,319,366,214,648,517,721,232,352,131,759,075,999,026,451,
249,145,493,933,348,724,620,172,609,650,865,645,413,725,389,193,085,700,483,
277,612,669,091,356,358,760,204,301,035,289,914,379,958,347,004,240,395,028,
800,630,481,794,302,181,768,490,311,561,674,077,965,856,288,634,505,314,522,
257,837,003,266,699,769,942,597,352,921,505,114,733,243,232,556,528,693,662,
238,934,271,233,497,448,831,036,283,882,716,813,653,384,094,346,536,940,861,
027,003,082,367,531,712,424,590,089,700,939,300,879,209,950,039,018,122,323,
944,378,935,314,881,224,190,800,804,829,976,067,700,768,986,238,345,503,682,
759,214,121,906,368,975,158,333,775,951,450,496,073,482,459,876,212,748,097,
124,576,118,713,731,222,554,024,482,575,538,423,906,193,061,530,752,262,844,
506,286,523,437,592,105,616,903,946,746,463,500,422,083,640,042,148,755,389,
104,818,250,086,248,410,363,445,543,313,349,804,044,460,886,339,557,300,726,
878,307,834,410,885,930,006,695,998,356,525,984,003,617,158,856,235,082,779,
002,441,711,036,308,444,416,333,872,838,115,039,654,008,855,201,886,690,083,
195,334,245,614,136,829,789,690,124,925,664,906,604,178,847,462,365,855,366,
552,882,751,747,881,051,054,078,811,463,979,461,845,392,942,437,873,605,880,
751,691,977,836,192,153,642,660,056,719,704,073,661,039,266,180,859,036,943,
070,680,217,626,024,757,860,057,687,414,174,188,436,990,025,401,472,171,286,
547,506,451,425,865,418,343,021,943,993,433,164,813,290,601,800,095,878,008,
603,520,740,876,159,741,006,235,437,988,388,220,921,813,954,414,238,163,419,
364,143,629,970,028,769,214,601,456,838,151,727,287,417,911,923,503,265,656,
123,392,106,856,594,043,754,292,575,743,779,589,735,103,714,925,363,572,519,
520,848,460,076,071,023,514,552,340,911,661,582,356,831,520,925,256,060,164,
351,654,436,827,815,196,026,980,651,301,511,175,573,892,688,475,923,810,599,
795,318,665,749,797,922,945,428,692,843,567,269,385,926,472,707,978,114,648,
671,378,336,212,698,506,852,774,294,357,052,847,464,691,038,655,142,000,008,
855,752,431,708,621,421,726,303,890,216,329,540,106,839,338,427,902,877,059,
908,177,874,379,837,173,399,814,913,066,251,057,585,185,665,810,867,599,837,
190,052,758,195,599,659,359,997,603,918,866,242,376,718,336,460,238,963,586,
541,272,402,303,609,186,354,776,912,615,502,297,165,072,181,594,822,802,950,
354,987,130,800,598,512,391,327,769,440,572,070,794,747,442,958,205,257,806,
039,151,029,856,170,102,358,687,618,735,990,771,506,121,349,436,458,474,900,
208,272,304,400,824,616,360,239,603,627,957,770,005,116,854,826,299,608,843,
472,907,846,118,432,861,837,264,501,972,667,422,476,576,346,093,593,238,068,
728,726,522,459,558,943,740,229,610,446,968,784,897,684,472,129,354,621,184,
024,652,754,014,225,425,059,046,758,818,141,319,849,063,722,269,948,786,024,
279,967,371,926,116,738,952,217,784,729,899,810,870,476,253,554,089,511,692,
995,267,283,765,526,777,685,602,415,137,091,250,370,372,519,061,691,072,043,
552,438,083,012,058,928,335,412,071,079,217,663,263,383,372,315,064,593,729,
440,330,195,528,574,016,919,335,104,625,813,409,559,363,795,914,232,606,343,
070,984,313,504,866,504,217,250,982,812,077,730,975,689,854,798,372,550,014,
726,971,019,663,915,212,952,129,540,932,946,510,313,183,259,367,765,223,144,
287,450,085,837,056,568,254,620,422,968,737,482,356,483,947,903,064,884,448,
438,877,192,045,502,966,152,838,232,268,286,131,922,427,117,089,302,645,723,
097,203,170,188,475,990,909,035,531,837,149,860,651,735,236,284,044,478,261,
642,074,352,323,683,977,937,393,035,580,303,765,172,407,820,333,588,401,121,
129,143,407,297,248,544,217,928,693,538,349,729,293,187,629,729,879,610,964,
127,067,270,647,440,360,507,913,259,506,754,301,942,947,813,068,169,586,844,
702,103,948,722,663,102,570,811,008,501,650,065,932,544,593,482,930,930,514,
328,919,569,244,724,989,621,851,287,365,445,565,695,229,004,888,409,174,046,
761,804,687,424,858,707,846,686,492,730,928,607,296,216,414,979,650,362,805,
327,437,149,041,945,186,567,326,755,809,680,057,441,170,410,427,152,014,252,
469,116,135,562,429,823,829,588,058,463,908,414,400,419,837,602,753,374,243,
753,666,096,008,183,993,740,480,040,964,151,485,022,386,413,726,640,348,857,
119,524,329,552,957,115,359,239,537,017,685,425,742,660,165,148,249,993,826,
159,570,313,125,558,759,753,864,810,863,239,850,643,733,433,224,405,175,819,
412,548,670,116,951,522,548,071,257,632,086,739,151,276,469,308,811,083,714,
102,345,526,629,999,267,421,700,458,006,712,596,825,192,125,912,922,594,585,
563,625,574,524,254,298,824,071,587,764,311,941,983,141,166,380,035,434,668,
471,047,849,854,545,426,186,901,674,744,185,670,708,017,912,924,963,249,980,
894,083,652,714,260,887,690,389,013,014,173,146,277,368,792,500,941,455,948,
502,338,881,106,628,342,821,350,472,888,443,960,793,134,953,762,489,088,091,
056,397,464,750,576,653,334,343,674,480,056,352,736,152,539,843,392,107,480,
805,235,634,342,332,449,441,653,678,215,455,782,727,089,488,055,340,336,820,
894,729,150,813,093,644,542,076,205,146,417,940,873,835,225,328,894,791,419,
467,301,882,724,198,947,293,090,660,998,033,682,022,261,679,609,126,442,761,
699,647,128,128,964,686,594,994,552,428,440,273,492,642,072,185,260,876,275,
666,183,026,617,240,681,593,437,761,978,730,111,137,163,335,989,540,670,700,
564,902,768,788,875,169,811,757,073,904,800,592,259,655,766,854,330,110,480,
167,126,488,765,512,539,015,322,239,784,594,718,707,874,997,592,421,612,325,
002,531,544,914,004,386,136,695,370,935,404,189,582,823,200,897,016,740,066,
643,558,142,943,440,866,639,286,518,170,558,529,999,319,131,924,195,521,044,
318,982,082,481,456,845,799,592,669,666,479,068,261,017,894,326,405,839,948,
420,914,546,327,131,899,469,423,133,537,989,504,173,650,203,118,492,391,523,
995,412,353,104,503,202,468,787,301,600,406,167,369,773,063,324,573,921,057,
405,262,613,143,441,813,909,946,218,566,319,356,003,390,729,329,103,832,069,
632,648,793,106,734,215,814,706,059,888,918,874,658,459,920,714,381,411,980,
772,149,927,953,951,708,429,243,423,713,791,816,725,777,591,887,057,375,363,
646,196,567,710,767,078,761,659,139,362,123,823,207,116,506,493,507,466,101,
545,496,120,064,548,229,688,646,607,843,538,798,381,438,554,333,122,170,012,
458,353,875,492,562,608,624,415,930,355,104,131,282,504,187,363,883,798,518,
212,180,216,933,481,784,405,758,153,919,711,426,154,701,995,510,054,461,149,
543,346,700,940,221,698,210,441,522,786,547,910,846,588,266,765,295,714,626,
439,361,174,655,713,680,178,160,314,512,144,281,648,565,714,510,018,133,995,
591,911,428,047,563,150,656,869,522,564,276,823,537,547,559,028,608,606,815,
685,400,938,796,537,213,590,135,586,301,667,486,116,554,925,804,445,113,238,
542,523,320,174,553,012,027,235,893,287,338,011,310,264,770,319,027,794,728,
312,310,927,565,673,813,683,799,914,477,377,716,598,496,628,499,400,545,490,
602,663,492,744,979,407,446,716,996,716,492,534,171,575,001,681,465,796,736,
666,247,625,413,229,169,756,964,371,088,164,401,997,633,293,343,506,460,678,
144,047,087,294,170,916,992,902,228,676,227,351,037,549,528,189,291,583,824,
904,991,813,569,294,386,494,427,566,799,050,455,586,611,085,585,318,076,193,
052,995,703,790,317,689,722,649,122,059,996,443,888,668,199,511,260,540,527,
269,447,874,575,811,721,939,483,301,004,556,456,757,718,308,672,506,745,177,
871,550,542,419,121,212,273,140,229,870,753,513,856,956,472,547,850,933,032,
964,126,408,630,603,613,147,265,077,718,758,747,751,928,971,762,081,870,325,
678,214,794,703,500,377,867,172,817,164,496,104,712,249,965,100,026,186,207,
417,376,073,665,154,226,747,756,590,002,530,547,213,943,397,365,910,424,766,
992,945,267,176,125,108,597,649,435,933,852,794,174,082,419,764,797,942,837,
218,979,705,355,564,169,153,472,695,333,986,463,905,769,695,705,112,331,068,
926,810,098,540,687,501,913,226,151,194,570,810,054,025,138,534,711,777,055,
125,470,972,098,306,876,278,887,483,386,563,588,687,116,195,271,426,102,324,
464,656,600,011,222,703,657,695,350,856,065,770,377,619,333,349,981,409,751,
790,061,542,855,867,937,964,411,524,038,916,929,488,848,305,155,927,712,137,
923,417,850,415,583,377,248,671,856,785,365,027,859,966,084,570,403,944,041,
814,271,212,517,323,645,040,361,627,234,466,977,314,221,145,502,795,990,749,
665,617,567,766,100,470,380,358,270,230,231,005,146,585,417,108,150,087,444,
285,788,047,009,189,723,496,993,438,703,225,033,391,665,882,488,953,259,729,
540,555,158,630,014,862,456,839,122,698,708,502,661,789,362,010,729,147,420,
160,664,732,391,518,474,632,049,292,879,474,358,980,637,551,397,408,719,547,
567,481,271,548,817,863,412,135,159,178,133,579,166,382,130,097,590,915,543,
522,981,449,870,958,480,349,015,829,622,045,160,169,693,407,326,913,435,114,
088,655,133,842,779,276,636,509,396,968,113,863,528,213,802,651,278,709,528,
957,965,096,330,102,587,112,105,172,891,320,069,947,425,552,347,358,880,519,
619,957,117,497,926,010,656,921,011,732,369,092,077,770,324,334,358,300,477,
953,730,876,257,846,971,501,415,220,122,234,133,301,667,023,188,667,432,401,
827,223,141,182,929,909,435,478,854,643,219,491,037,694,983,122,038,835,086,
407,692,197,812,491,587,016,962,851,623,324,499,240,984,088,685,925,388,078,
911,015,457,488,454,750,423,005,346,179,938,367,355,481,039,515,949,358,813,
071,463,368,879,799,863,815,781,170,969,873,352,153,865,482,625,002,514,115,
129,246,389,378,255,233,147,376,496,681,573,896,502,925,898,752,220,604,618,
717,379,559,632,802,225,418,936,341,955,961,130,332,942,316,273,639,972,441,
651,250,420,119,352,954,043,031,338,653,530,691,835,042,941,592,757,627,524,
656,248,200,651,458,043,106,604,781,655,424,846,355,572,155,184,243,714,111,
416,377,456,652,626,257,250,946,504,743,207,369,042,125,462,392,783,884,866,
831,687,294,610,923,549,893,365,924,106,403,819,505,072,271,404,520,150,534,
096,449,137,664,562,885,199,789,538,647,793,447,983,489,802,797,326,488,835,
186,091,697,847,181,501,385,545,340,186,954,654,703,290,760,398,541,692,203,
599,235,740,516,832,466,158,557,904,794,413,887,559,254,548,674,835,005,791,
022,726,722,506,789,184,392,056,913,910,756,027,746,738,170,416,790,460,781,
384,850,184,175,439,159,582,134,860,128,592,339,173,326,998,693,669,431,657,
313,103,121,425,010,664,178,100,049,772,523,171,145,096,166,747,309,482,863,
898,617,551,662,302,365,017,196,131,426,292,494,541,720,927,345,277,675,560,
489,633,951,963,254,971,742,889,461,974,773,189,952,611,923,474,644,407,161,
879,663,694,166,542,319,490,076,660,449,141,820,404,338,785,826,476,672,668,
762,302,735,888,100,547,522,549,325,505,171,592,718,763,010,537,185,224,709,
200,881,723,475,193,733,013,357,104,820,500,010,939,616,589,308,302,266,783,
274,230,200,615,428,611,080,951,622,184,620,765,976,927,870,470,653,195,648,
620,778,407,911,092,350,692,482,624,215,748,188,848,782,095,637,526,873,636,
924,982,005,217,798,287,467,219,502,186,962,232,341,171,476,106,676,632,554,
774,987,884,334,737,137,746,381,860,131,237,395,073,588,349,978,444,422,278,
392,451,539,272,597,929,010,364,281,092,921,642,539,953,808,801,892,007,866,
716,521,848,513,734,390,433,486,869,805,439,062,432,374,607,674,104,804,617,
033,195,760,025,562,525,536,798,145,338,626,399,121,808,536,999,765,649,421,
851,516,020,291,762,407,696,047,898,599,827,644,817,922,491,106,109,545,144,
042,187,586,861,705,497,507,025,527,007,678,953,721,653,435,309,030,328,599,
174,904,242,927,644,162,311,236,920,168,055,338,194,746,454,062,943,355,581,
874,121,890,758,675,899,515,334,920,896,779,658,639,653,853,929,692,178,564,
069,521,972,822,058,468,885,295,376,118,126,752,281,812,388,585,566,063,694,
920,860,745,873,317,314,764,545,402,888,186,226,993,315,649,393,511,311,238,
898,490,285,031,788,510,605,716,952,951,447,734,428,891,670,991,340,228,607,
144,702,026,995,327,813,771,644,389,429,552,761,504,179,080,911,706,698,431,
343,387,938,565,553,193,675,362,325,746,252,034,706,429,590,182,062,615,404,
231,857,067,565,789,873,405,539,348,346,364,723,594,263,560,561,997,518,867,
726,945,273,242,874,785,027,958,732,237,535,502,728,758,903,307,183,601,883,
658,029,276,606,840,735,730,933,082,745,188,743,482,281,867,662,885,031,889,
395,838,726,332,623,540,487,176,088,263,419,866,944,295,264,342,357,239,761,
760,591,661,282,461,855,460,558,269,468,387,993,199,398,607,548,098,422,278,
721,984,817,320,217,009,088,922,703,921,119,471,627,841,487,005,060,059,786,
473,378,755,337,693,294,811,384,439,862,821,249,193,885,250,464,469,676,374,
686,107,605,015,203,457,462,103,282,076,297,410,872,970,507,588,336,849,334,
343,165,506,662,484,282,920,079,681,422,470,181,297,457,865,340,622,941,755,
587,593,854,666,029,148,584,055,734,938,743,088,984,854,591,535,856,162,513,
457,956,429,693,158,755,986,247,574,377,802,601,805,709,957,665,253,053,857,
149,944,615,539,495,871,232,355,319,708,909,424,977,679,674,739,607,206,839,
842,339,355,256,087,332,806,608,925,321,389,034,616,570,896,803,631,272,613,
399,080,163,830,616,914,018,287,446,436,465,698,039,356,715,712,304,941,851,
576,074,782,230,232,312,945,469,681,413,376,055,071,531,813,957,747,959,729,
493,664,079,162,572,782,797,333,409,474,559,332,169,143,790,774,506,117,897,
147,813,150,888,483,948,719,777,438,932,332,884,836,770,010,172,093,891,910,
583,906,195,232,024,543,504,647,970,226,630,713,302,301,699,795,231,131,498,
506,304,947,907,910,461,222,787,961,444,107,384,841,106,817,816,635,483,567,
731,416,107,613,773,304,669,929,322,768,377,100,496,749,217,579,305,634,371,
399,562,217,648,531,994,571,259,404,158,592,461,128,528,284,203,723,778,741,
458,758,221,041,512,716,247,264,566,188,712,766,810,350,438,599,058,845,188,
442,175,748,403,136,994,375,561,455,446,282,270,250,593,391,246,365,085,914,
666,085,183,259,967,746,634,682,620,445,618,699,937,558,936,177,575,857,490,
019,424,110,319,499,604,715,399,329,987,193,634,597,476,290,043,453,286,772,
347,030,680,833,372,591,845,048,081,990,412,446,580,287,533,603,781,260,424,
462,077,997,086,533,453,827,752,089,988,185,887,533,094,432,414,085,959,189,
575,347,310,813,101,295,085,829,876,873,728,870,563,932,523,364,516,911,466,
545,899,734,965,114,441,988,472,131,512,191,481,453,511,118,723,770,453,871,
169,226,542,816,763,487,226,139,436,257,590,928,870,664,837,421,516,287,099,
124,774,234,838,367,838,696,703,217,348,157,972,280,432,892,539,676,020,432,
902,915,895,467,475,140,113,092,477,788,695,119,591,938,189,747,464,994,502,
928,098,919,367,207,164,321,433,502,266,145,450,414,397,270,030,288,481,746,
731,921,579,182,473,243,587,454,862,595,123,340,734,780,833,498,164,613,611,
021,775,959,162,142,388,810,418,882,238,674,580,438,729,814,678,765,504,549,
150,385,547,161,187,761,929,034,241,743,966,185,707,669,098,654,145,970,743,
806,168,721,113,620,316,440,309,469,442,031,540,945,433,996,747,728,570,177,
408,883,039,699,672,311,842,483,363,226,873,799,964,015,535,723,580,534,554,
645,114,358,153,555,755,319,811,349,625,494,089,154,175,011,576,054,563,500,
308,890,998,081,891,117,236,877,535,263,589,111,099,489,627,653,270,702,283,
954,203,489,189,293,881,564,177,881,493,639,612,444,693,316,327,483,958,343,
337,217,917,265,701,650,924,055,889,459,825,302,120,716,701,026,006,961,267,
352,237,779,068,319,979,593,441,842,139,983,578,699,415,822,304,982,681,412,
072,068,938,844,903,185,911,866,069,090,960,588,967,032,810,396,806,336,400,
736,689,914,771,646,263,387,425,674,084,430,945,932,607,497,825,579,091,745,
136,699,131,873,226,326,700,610,715,508,360,204,854,563,591,849,083,749,565,
875,652,485,180,755,473,117,603,526,654,606,093,358,412,095,727,641,218,499,
888,783,623,042,184,440,167,590,708,901,689,032,217,067,048,688,897,563,422,
465,596,476,289,460,751,894,602,015,882,352,908,037,278,270,241,475,863,383,
419,154,542,513,922,210,036,902,990,262,740,096,842,922,938,610,031,279,423,
069,183,192,937,683,300,686,883,524,237,595,503,238,408,034,329,222,002,752,
428,143,483,987,755,749,054,173,855,892,254,210,954,443,486,950,939,458,131,
124,137,208,832,877,122,974,032,383,274,199,790,647,064,961,315,978,250,861,
423,052,004,900,065,363,702,466,926,043,722,712,051,430,179,453,991,153,377,
620,987,278,143,763,360,215,822,852,721,906,314,636,638,257,055,258,446,187,
276,063,156,950,144,684,683,270,526,345,608,762,847,996,976,345,411,240,135,
900,130,145,376,661,268,530,071,587,586,327,606,754,182,899,482,252,203,618,
195,424,109,388,075,136,406,606,939,361,706,358,571,029,734,433,856,853,485,
246,258,675,580,230,782,200,218,218,856,301,901,381,488,471,581,397,002,701,
931,357,929,638,260,683,881,527,070,362,170,690,106,366,256,421,651,020,264,
746,580,504,311,858,448,385,856,842,694,723,631,180,999,940,838,645,796,760,
920,430,426,724,486,344,638,638,182,522,667,779,344,706,493,714,885,764,210,
583,849,643,343,163,606,060,174,858,709,077,897,471,473,397,121,054,709,343,
411,363,222,847,995,992,637,525,909,790,456,215,473,459,244,195,505,460,691,
409,807,260,091,145,660,107,277,853,796,963,101,883,559,216,964,868,977,506,
704,330,423,263,314,041,124,012,024,664,222,458,486,493,225,919,974,528,863,
750,921,231,658,875,834,722,355,315,628,740,895,103,054,255,879,810,766,046,
990,928,411,498,107,732,792,334,835,447,445,967,083,584,103,987,265,113,736,
839,683,587,335,105,331,514,472,557,029,296,598,397,871,579,745,874,344,929,
176,358,044,473,531,874,959,508,531,798,255,993,544,374,198,879,324,743,878,
036,314,313,915,402,900,483,697,047,441,691,191,981,049,827,169,532,157,490,
939,185,399,060,940,228,575,874,062,517,409,897,013,182,738,699,153,481,570,
470,267,566,478,706,344,645,899,779,277,816,802,155,589,111,050,476,502,763,
667,005,518,863,913,985,129,717,669,820,721,251,160,710,760,183,763,502,502,
244,739,819,271,883,821,923,411,055,348,676,278,733,747,276,644,293,609,241,
440,781,003,894,481,819,464,469,978,365,614,125,609,559,129,132,698,797,694,
870,982,771,296,356,791,779,462,464,548,815,187,967,373,944,611,081,488,463,
518,649,846,279,460,702,376,878,101,539,910,501,382,634,008,196,229,898,953,
032,351,113,668,018,799,725,411,381,283,000,113,728,095,593,359,189,370,670,
849,814,511,054,240,218,216,835,308,905,856,858,747,060,843,434,101,754,495,
951,775,419,977,423,422,762,278,815,761,803,853,650,048,843,209,936,143,183,
795,595,344,955,767,326,381,808,964,238,893,151,401,049,693,759,688,046,167,
407,816,928,303,461,772,279,945,372,958,627,042,292,770,346,489,322,419,170,
325,169,243,115,518,900,177,304,324,108,076,539,421,615,512,397,982,877,214,
646,455,909,091,604,276,140,183,845,553,385,065,510,927,331,736,932,271,032,
615,777,095,775,722,180,046,963,732,526,058,726,460,745,874,203,368,968,769,
383,649,757,778,793,420,636,491,858,887,343,164,089,407,687,825,405,895,760,
188,796,114,159,383,874,012,478,132,554,299,276,194,930,217,760,292,222,357,
679,789,774,458,131,321,508,747,949,836,081,782,657,738,500,344,234,266,331,
420,877,812,948,730,335,661,156,938,690,686,076,612,543,113,039,209,963,485,
942,289,518,812,433,557,948,835,552,804,286,761,426,596,245,851,725,991,244,
566,549,767,121,480,969,550,008,028,395,544,462,537,956,846,019,297,885,876,
406,174,819,641,911,355,370,197,513,731,834,276,014,917,646,026,933,859,724,
053,372,289,682,076,972,880,430,079,933,703,185,078,550,487,132,173,076,366,
191,000,523,798,888,249,342,528,336,137,842,932,963,414,731,541,761,947,345,
606,079,052,089,573,645,447,479,281,205,892,636,628,898,627,093,479,210,675,
740,375,008,063,639,098,598,473,291,783,356,467,292,162,909,097,607,145,167,
287,639,305,024,273,706,593,036,279,204,642,964,352,329,343,793,716,491,607,
137,251,324,652,324,480,312,538,333,257,961,524,670,150,027,018,462,757,493,
665,679,163,705,165,531,022,358,879,501,600,425,618,134,946,891,831,017,052,
419,100,575,574,211,427,983,621,009,091,382,796,440,319,782,039,932,172,075,
021,116,564,554,128,842,585,934,013,253,909,809,843,615,615,131,562,468,018,
818,454,565,803,352,552,361,628,703,895,987,589,453,732,976,361,566,017,294,
030,290,749,924,947,726,294,444,563,705,641,746,668,184,751,640,666,968,670,
816,130,241,272,465,497,745,416,550,229,415,643,867,824,042,008,543,678,276,
365,825,718,310,630,163,172,038,554,714,917,098,781,487,277,807,955,438,675,
617,269,061,875,220,454,105,548,131,879,093,081,502,749,520,182,364,129,519,
185,457,464,869,880,960,271,489,381,934,428,685,655,040,065,565,365,953,482,
599,947,483,111,651,627,091,640,987,853,195,674,531,568,721,878,695,402,907,
397,448,329,484,454,615,224,742,051,046,183,418,698,503,505,213,601,731,596,
755,381,399,665,035,164,477,966,019,403,363,975,520,229,291,181,910,329,924,
499,725,062,900,205,616,446,140,256,953,915,046,999,936,577,792,300,393,091,
528,464,356,536,460,646,321,716,502,195,974,643,225,223,883,789,966,079,182,
905,158,270,977,660,027,922,404,119,313,297,227,130,192,574,341,175,979,459,
804,400,747,455,392,692,547,067,172,956,945,730,836,300,233,234,170,658,578,
208,248,298,777,794,364,571,277,561,519,446,691,200,116,628,777,499,301,748,
806,969,279,476,863,548,834,037,362,640,810,882,646,337,535,088,219,409,631,
589,147,680,803,051,328,472,346,495,883,410,056,046,174,674,282,144,098,687,
936,267,703,551,098,031,876,915,054,421,526,959,222,482,800,132,601,849,165,
215,590,005,504,141,523,798,914,700,838,033,982,966,126,251,919,188,080,010,
647,594,736,116,216,218,816,575,952,698,600,236,093,296,075,470,954,352,074,
046,330,276,944,336,805,479,534,985,883,313,672,707,199,317,070,597,145,414,
962,475,938,650,079,600,305,941,476,635,991,216,220,136,379,600,063,864,943,
033,012,004,291,570,136,567,212,098,618,740,093,594,463,607,087,850,608,970,
098,000,069,406,386,915,423,572,547,347,071,443,184,006,562,186,682,666,936,
770,724,954,338,876,984,247,094,533,881,309,146,348,167,184,596,443,193,688,
487,056,277,605,458,867,026,636,769,783,168,075,097,221,306,638,864,323,186,
323,195,896,825,623,404,242,184,595,363,001,784,487,319,255,977,332,775,038,
706,531,404,332,700,672,868,353,791,741,872,366,976,800,340,267,166,833,235,
183,821,211,691,657,657,587,986,919,916,454,408,586,126,803,199,169,265,365,
599,816,732,349,547,894,450,438,917,513,413,863,979,182,987,160,463,238,740,
691,134,839,167,869,456,964,567,023,878,761,525,075,782,459,411,930,952,486,
189,487,294,418,974,841,839,173,394,979,536,356,954,380,217,420,597,206,534,
024,102,054,449,737,531,015,797,724,286,303,588,178,124,842,054,887,084,757,
907,308,889,102,239,176,448,751,257,928,482,591,299,623,988,570,505,025,577,
573,384,371,322,724,315,985,507,430,755,528,192,852,910,488,635,525,194,910,
139,346,029,416,182,044,386,937,085,549,042,599,146,950,719,242,456,397,641,
484,893,052,866,956,702,110,882,574,227,910,703,019,906,217,324,763,117,837,
730,795,939,637,254,424,155,677,490,187,866,320,410,386,585,390,566,717,072,
109,173,862,918,746,815,402,499,619,760,039,132,584,782,118,550,715,583,147,
228,434,335,566,697,809,539,897,929,369,123,105,910,917,424,109,583,844,906,
762,816,212,017,255,443,051,776,388,896,211,272,150,979,383,517,140,861,740,
486,405,289,745,893,968,684,328,804,708,786,260,793,633,406,007,016,401,478,
497,177,792,647,145,834,599,844,025,391,274,868,287,633,158,270,384,354,055,
632,702,046,332,357,569,771,028,477,388,749,137,045,957,932,789,100,056,447,
703,014,038,807,306,031,106,128,705,460,831,383,267,552,133,746,721,352,867,
786,596,534,040,779,497,822,894,358,326,408,424,041,479,973,987,187,050,763,
267,720,860,371,638,514,062,833,584,560,763,546,619,700,703,248,030,630,819,
892,416,100,929,721,203,363,297,042,720,117,615,373,665,689,752,818,570,681,
533,370,990,803,676,476,572,795,401,578,358,521,062,322,800,198,076,764,801,
936,183,688,362,184,296,353,542,558,986,583,759,833,794,322,120,743,904,705,
735,261,721,325,994,567,366,186,328,239,066,965,561,730,947,906,864,866,680,
151,916,067,707,708,546,849,419,411,795,180,046,068,571,383,261,997,121,879,
899,480,515,357,714,769,267,594,314,621,656,494,542,944,707,094,805,398,422,
157,535,223,472,690,872,358,140,126,966,713,080,264,464,314,690,226,248,277,
556,338,174,992,695,953,258,576,445,729,888,101,729,009,707,622,618,705,690,
219,904,402,525,101,032,973,210,952,780,952,601,993,209,878,642,181,597,964,
975,434,950,760,559,056,339,673,981,267,581,764,410,461,204,465,765,174,764,
955,835,986,860,116,071,274,504,407,939,936,560,352,066,019,955,680,036,762,
482,055,200,943,896,619,239,620,093,138,705,898,138,598,629,167,933,576,702,
026,803,670,610,322,034,358,471,106,870,732,083,988,816,292,406,930,801,724,
515,070,440,103,598,973,888,029,969,551,214,640,449,242,460,019,078,608,346,
176,797,087,325,077,255,557,372,189,590,987,093,623,328,615,336,725,135,896,
179,190,705,823,643,065,520,468,899,902,324,351,917,765,525,594,074,085,016,
391,910,883,964,628,211,689,016,236,875,840,275,482,827,816,535,909,301,234,
983,392,475,325,867,395,900,484,775,376,594,415,462,601,560,995,374,409,127,
314,617,235,675,946,464,395,364,803,217,500,019,426,583,427,731,017,238,598,
673,416,895,951,633,503,737,914,492,531,483,134,818,569,385,322,481,927,407,
852,710,700,220,980,996,031,173,684,687,488,209,726,213,771,939,240,598,190,
694,624,603,554,621,256,106,930,879,355,514,749,229,777,461,464,267,143,662,
054,238,752,785,332,340,531,038,384,328,263,452,352,478,721,039,909,628,889,
488,948,037,295,099,478,651,654,711,770,530,329,897,420,896,519,279,518,541,
918,391,624,409,328,159,373,263,883,256,602,057,930,388,752,442,510,901,853,
125,247,177,535,932,868,293,175,897,032,607,524,243,228,082,354,342,510,938,
117,346,365,790,245,531,543,701,090,661,425,159,352,570,513,446,509,663,853,
342,650,420,172,287,385,357,745,844,771,938,568,564,098,034,557,634,024,550,
487,482,702,497,966,796,095,360,771,322,275,424,864,823,269,092,330,670,331,
470,476,934,959,471,098,786,699,900,156,765,919,495,697,921,367,158,558,683,
967,340,693,231,549,608,776,045,810,651,818,359,932,761,520,047,238,086,187,
392,066,673,596,996,692,424,299,714,224,099,800,263,251,922,387,864,250,133,
926,778,042,094,591,404,693,489,819,484,803,067,294,855,587,852,287,543,891,
696,938,558,083,015,816,662,314,145,679,658,417,525,198,996,712,111,359,245,
205,063,733,774,732,211,938,671,300,353,636,944,602,146,782,554,530,229,255,
163,328,402,868,854,696,544,770,623,854,672,572,019,637,275,307,503,477,375,
129,158,736,393,858,793,977,811,784,899,859,857,873,779,671,794,801,833,171,
173,541,260,354,540,258,410,673,381,892,828,136,198,284,390,561,733,537,015,
678,786,796,941,340,261,330,313,759,207,053,965,210,250,237,024,105,921,983,
890,890,550,087,506,739,513,657,228,276,169,726,684,502,790,607,181,437,889,
309,406,126,800,717,039,657,164,020,282,984,493,735,548,366,340,762,653,874,
262,149,184,218,226,356,919,507,995,902,177,960,920,815,232,192,894,586,950,
577,081,060,542,956,056,730,523,874,924,099,415,713,424,558,314,546,512,944,
062,746,239,800,318,203,439,850,945,678,791,133,980,601,406,634,162,572,853,
609,273,374,136,115,755,812,397,668,103,068,792,300,373,571,127,430,718,097,
989,520,022,173,667,369,672,261,505,450,413,981,735,296,241,011,000,499,705,
963,232,690,391,755,577,413,890,057,791,469,058,183,964,541,070,793,464,245,
909,760,857,959,759,115,967,474,995,846,046,873,394,138,714,501,348,906,229,
913,798,225,524,520,348,044,602,199,430,432,506,919,653,698,665,226,341,999,
056,863,002,643,137,872,049,686,063,645,919,915,718,383,705,160,740,317,634,
605,559,933,040,279,673,220,632,096,658,531,392,341,823,185,257,283,180,362,
444,767,865,385,967,934,630,009,620,144,192,762,744,676,794,997,583,435,787,
460,827,472,273,616,004,827,686,291,383,366,574,042,125,381,436,338,600,861,
694,189,524,408,530,815,701,710,895,484,110,600,473,979,485,652,718,378,411,
860,872,138,459,818,954,147,089,971,294,994,883,911,998,341,698,051,128,286,
195,430,805,495,168,324,727,574,346,476,367,599,766,291,024,646,980,104,495,
224,868,897,819,311,094,098,802,579,904,512,981,044,886,966,321,378,254,834,
463,546,464,029,348,734,501,566,203,246,070,466,261,654,233,042,816,285,949,
084,357,215,901,693,488,548,874,616,988,949,242,675,826,007,945,497,429,317,
402,642,341,020,533,438,239,183,454,103,360,551,264,185,654,817,580,243,918,
251,825,705,537,407,552,016,539,845,154,576,463,471,808,104,730,381,380,063,
513,793,477,982,099,986,915,317,943,876,312,421,915,344,031,260,694,690,565,
017,879,076,995,579,774,708,247,897,780,979,473,450,661,721,173,628,058,787,
671,079,225,483,878,177,910,509,358,800,966,993,236,513,450,205,084,058,784,
915,373,699,976,831,869,665,993,332,209,073,612,822,065,733,935,154,695,351,
351,298,938,522,146,050,854,403,710,411,663,473,851,861,542,234,416,518,063,
153,667,302,269,937,961,977,772,353,505,260,971,849,509,357,834,953,138,711,
827,210,612,436,312,304,082,374,296,121,124,221,800,350,151,579,486,022,885,
773,258,741,886,470,720,170,098,444,131,180,652,456,038,371,829,445,256,081,
950,648,546,235,173,130,627,928,559,571,138,534,709,539,371,485,823,483,635,
793,717,724,803,157,138,015,062,170,092,706,490,513,315,615,819,193,698,302,
696,330,521,079,801,759,001,019,238,245,663,852,382,747,400,014,829,943,683,
910,488,405,616,279,024,476,190,508,670,797,973,915,687,948,781,618,011,443,
569,389,396,104,705,126,053,070,991,633,993,982,754,712,159,386,654,109,331,
530,738,775,907,631,411,687,489,034,550,922,145,522,043,102,185,293,840,464,
295,475,997,525,804,836,546,967,466,045,857,107,300,830,995,306,006,669,309,
738,164,062,954,386,170,130,718,494,824,891,451,813,918,844,462,460,588,789,
615,124,314,112,057,017,972,938,227,549,098,985,521,190,077,999,794,078,712,
369,182,254,666,894,566,938,470,529,152,962,049,353,889,774,147,993,076,782,
146,954,471,266,392,919,201,698,930,308,739,181,614,992,642,311,469,106,549,
183,292,253,667,267,135,709,169,781,005,198,214,237,295,286,005,792,685,227,
021,618,714,026,225,004,914,824,978,439,787,990,358,382,209,421,400,983,194,
237,070,518,382,569,297,702,039,783,874,683,131,564,518,093,354,918,034,997,
910,083,111,615,740,780,319,028,562,910,984,989,601,473,202,164,228,044,099,
479,966,040,807,238,903,819,175,473,312,045,120,374,271,805,064,195,726,858,
322,537,014,234,814,888,794,254,298,128,003,810,486,800,432,056,353,718,826,
289,458,043,503,355,576,127,272,153,908,155,476,489,091,335,472,567,448,052,
612,384,310,563,197,505,568,703,569,666,651,358,923,347,772,848,034,422,870,
566,850,736,252,627,918,945,884,967,075,844,598,881,476,572,284,924,229,972,
158,036,939,202,560,720,894,374,349,319,166,334,353,721,012,017,380,257,644,
733,085,994,198,443,499,359,604,057,682,222,896,682,490,372,656,446,139,690,
349,397,707,399,901,010,836,377,623,127,805,567,411,507,611,832,959,894,799,
986,552,926,636,824,592,358,130,890,282,169,372,098,140,724,194,563,401,521,
457,490,080,838,666,239,841,238,002,531,962,966,560,227,306,098,871,373,898,
422,024,510,599,701,177,483,209,451,765,371,251,325,084,072,080,403,641,279,
658,078,803,406,494,759,130,887,649,769,367,063,710,893,867,787,386,740,909,
727,755,161,469,158,203,637,495,604,222,112,063,084,799,676,364,414,491,709,
715,872,224,623,882,767,954,940,535,834,774,148,861,300,217,286,548,274,641,
770,854,610,306,285,642,533,137,911,326,850,371,052,830,318,855,278,121,335,
670,393,543,061,420,955,418,319,778,715,134,966,320,983,003,397,281,047,552,
449,249,249,147,966,447,727,189,661,637,504,207,575,440,733,202,508,466,670,
458,519,929,760,972,563,260,749,140,946,565,674,489,252,042,297,241,250,319,
063,893,561,429,231,823,473,931,723,286,440,144,863,164,236,842,672,505,709,
693,312,572,811,953,786,300,320,848,280,897,959,861,517,155,227,444,754,698,
231,756,539,634,909,471,422,687,755,721,388,235,577,463,066,559,911,172,176,
542,361,567,006,134,542,757,973,824,645,887,240,281,764,624,846,286,012,801,
059,868,174,444,805,227,008,266,410,908,208,128,122,104,504,139,260,398,843,
053,257,852,441,680,769,073,494,542,250,878,733,472,029,709,869,585,763,743,
835,603,456,770,468,212,654,494,550,606,161,733,482,343,082,447,604,947,898,
813,514,934,217,893,186,659,264,102,432,372,960,036,214,916,628,241,482,658,
908,389,672,752,955,432,966,096,580,161,228,554,370,934,000,601,801,303,367,
029,776,365,143,121,429,361,737,159,974,195,197,424,366,554,178,003,348,959,
194,081,378,117,737,112,818,515,684,124,597,888,771,068,463,024,310,250,171,
010,524,027,294,584,212,712,624,875,067,874,317,874,881,487,513,005,954,473,
412,375,307,518,936,150,616,912,981,987,086,343,579,571,980,705,518,460,229,
754,513,055,712,730,852,336,980,803,816,613,599,975,785,999,511,477,349,461,
318,953,761,842,057,538,337,924,625,403,470,024,159,324,931,111,560,543,779,
839,983,917,175,083,496,361,741,342,531,316,387,237,374,966,122,416,351,467,
414,013,700,555,435,330,749,795,511,795,572,542,656,293,635,051,808,172,555,
279,771,677,082,667,944,939,845,200,774,025,334,695,598,867,451,454,301,624,
671,207,272,411,223,999,689,513,259,081,976,793,306,868,067,908,553,867,616,
218,524,595,363,516,292,858,887,209,268,933,793,813,472,078,701,160,194,561,
417,476,933,033,662,090,410,898,681,153,082,858,589,480,943,329,930,298,441,
499,731,426,942,509,990,282,791,926,453,965,627,678,753,965,711,319,407,112,
981,308,685,725,970,970,594,787,597,626,418,006,048,103,484,739,459,915,940,
342,194,554,501,216,037,157,250,840,043,043,926,271,291,292,247,841,061,722,
634,096,096,043,544,623,378,349,183,543,447,529,817,830,465,552,799,123,819,
972,179,115,530,542,340,841,995,753,411,252,740,192,491,591,845,957,113,052,
767,797,363,481,192,566,554,129,778,965,884,902,648,853,122,961,892,416,003,
335,448,263,893,573,295,224,714,871,508,038,489,537,324,454,002,314,408,342,
646,083,744,796,843,376,629,691,974,266,427,137,829,064,511,941,000,717,447,
022,787,208,046,137,364,879,985,807,477,169,264,233,376,399,194,532,273,374,
776,069,084,697,844,694,543,592,141,823,363,606,481,505,911,753,813,913,281,
724,453,880,763,930,191,552,965,903,984,239,684,818,193,742,905,197,265,822,
061,014,688,869,648,957,715,685,905,093,819,830,316,152,741,871,286,107,366,
861,291,242,780,810,304,052,217,675,577,504,033,290,838,789,032,439,127,700,
851,869,829,570,060,819,791,033,414,845,376,853,185,061,710,194,045,451,057,
637,156,370,254,752,558,322,627,352,455,915,970,639,719,147,880,313,924,363,
831,930,861,825,308,281,810,734,119,642,361,285,241,488,266,009,364,842,042,
710,403,641,335,241,093,186,807,605,794,010,707,863,393,645,851,840,579,836,
424,682,219,532,385,000,234,678,504,654,754,916,809,190,205,118,369,250,090,
181,339,550,907,754,052,333,429,278,235,453,552,491,342,630,186,000,107,116,
865,632,503,697,286,216,146,528,224,048,761,391,452,530,619,861,806,757,813,
306,280,284,885,605,633,915,716,773,122,467,999,610,160,700,079,756,934,049,
161,713,329,992,123,471,978,696,037,262,534,349,254,703,896,866,423,355,308,
223,588,334,071,791,808,721,626,970,007,309,421,677,298,345,170,986,961,798,
921,946,012,984,909,606,595,961,064,949,948,771,904,599,359,233,035,776,037,
745,419,925,559,029,920,244,934,751,714,731,164,240,512,299,492,740,150,449,
003,120,295,499,978,050,956,718,398,224,860,609,958,906,930,237,813,379,229,
794,459,188,447,241,260,159,241,775,360,034,466,023,843,496,901,362,252,117,
519,557,043,439,914,265,070,474,513,757,759,708,432,354,511,604,488,545,946,
201,027,045,147,488,148,469,671,650,010,415,680,461,847,509,548,939,432,486,
868,241,199,433,795,264,960,853,766,325,696,582,276,428,096,025,261,574,730,
241,888,327,523,675,914,672,114,048,669,379,656,719,209,439,765,456,595,226,
039,094,157,852,206,865,042,230,764,005,968,163,570,990,700,327,674,014,549,
790,579,333,558,192,673,663,095,641,979,959,154,092,213,918,741,186,692,914,
821,200,899,038,371,789,983,080,341,469,998,057,240,917,534,450,043,174,468,
409,456,693,736,498,358,827,198,648,055,694,772,224,637,817,694,958,727,607,
446,205,418,755,745,512,427,409,400,455,793,370,262,321,858,383,721,059,276,
279,969,498,662,710,466,217,039,742,846,816,169,589,131,886,682,843,920,322,
827,508,788,826,327,968,214,003,981,644,717,508,516,890,132,597,038,236,115,
240,065,530,565,614,076,291,426,377,220,751,249,183,867,096,215,996,495,306,
739,618,227,841,950,253,957,489,535,865,161,125,483,596,133,270,787,325,248,
535,884,001,468,238,021,798,522,487,632,387,813,904,865,243,522,060,440,183,
816,305,227,975,056,190,461,227,656,188,298,260,411,013,759,196,374,075,342,
618,423,366,531,938,107,700,647,091,853,262,754,657,645,516,940,825,149,935,
368,343,067,603,653,945,136,189,054,968,725,916,668,603,674,212,255,754,872,
821,437,526,881,987,511,175,644,528,609,821,015,035,193,569,773,046,714,349,
593,932,411,630,636,553,338,661,724,615,321,233,194,191,535,241,469,205,377,
717,835,966,168,425,130,956,853,028,879,838,124,846,072,106,020,017,891,329,
296,291,476,529,011,040,481,233,164,982,287,527,004,546,557,213,854,969,789,
441,139,058,482,071,009,806,782,273,873,096,865,125,946,866,875,852,201,636,
446,466,964,247,928,491,276,245,582,480,706,282,614,168,298,088,524,917,327,
165,217,244,448,427,620,627,297,231,418,295,786,637,085,715,077,249,197,862,
873,038,257,409,369,052,806,154,248,627,652,595,245,755,098,374,087,185,960,
993,994,846,891,510,217,403,224,717,939,188,460,344,460,777,658,607,280,581,
583,109,200,719,454,604,023,840,871,463,630,446,733,383,307,178,950,316,053,
889,548,556,729,546,232,508,896,498,603,702,457,867,220,990,694,499,283,916,
246,620,636,372,509,695,797,833,093,008,768,253,027,365,883,905,057,162,329,
652,641,683,751,877,307,146,305,620,461,063,221,811,180,081,843,450,751,848,
011,991,089,587,831,554,000,644,337,314,907,173,787,674,969,383,475,183,457,
279,531,451,320,868,806,505,433,347,372,171,589,215,258,548,915,474,914,961,
091,925,156,132,484,423,762,767,658,626,203,092,945,288,646,039,368,952,298,
617,015,001,764,958,634,445,074,325,139,691,314,347,424,901,284,326,848,035,
287,520,660,099,369,131,956,208,821,462,410,259,124,859,262,493,220,215,111,
625,007,395,742,423,413,023,961,270,555,356,955,315,814,690,127,207,687,562,
761,336,222,623,669,577,346,697,772,633,370,402,152,178,957,414,531,091,197,
659,147,642,241,543,549,261,096,598,586,495,837,604,997,813,890,668,242,306,
448,970,231,514,948,280,852,010,023,412,721,883,671,091,371,174,527,840,647,
010,272,304,153,998,045,497,101,585,751,068,572,151,228,991,176,600,649,125,
008,941,535,557,040,780,086,871,031,117,383,541,424,146,472,039,540,184,533,
459,464,057,942,933,475,112,073,741,699,463,312,333,288,156,544,961,620,324,
849,224,450,318,748,889,806,001,686,320,428,571,727,994,362,120,551,202,502,
303,334,767,336,835,356,994,311,154,048,967,631,099,835,716,626,690,433,401,
812,773,294,480,940,560,675,265,593,182,121,553,567,907,534,232,438,405,507,
299,004,216,970,381,015,133,425,942,456,742,660,437,037,510,246,563,659,564,
783,937,887,902,805,378,225,619,844,445,424,074,361,121,581,441,738,356,973,
395,433,418,831,565,569,240,879,658,432,743,605,486,160,324,024,571,208,276,
576,149,110,356,094,370,248,721,068,029,147,898,603,234,522,972,368,465,793,
593,110,128,525,016,354,996,570,520,044,273,941,392,309,683,928,461,041,655,
814,929,520,562,853,067,762,160,600,587,154,058,811,039,863,161,370,287,644,
809,520,025,723,345,141,726,352,288,217,342,419,644,438,837,498,368,290,976,
401,920,194,063,761,348,864,096,094,487,141,816,188,782,270,393,410,623,503,
761,531,132,724,755,490,845,733,911,155,770,532,161,858,433,524,499,262,657,
284,314,789,218,322,919,887,110,766,878,094,424,728,716,800,198,318,011,196,
558,600,492,848,746,812,501,510,585,113,747,038,745,107,937,133,818,041,854,
537,071,603,605,582,970,830,579,267,043,835,525,565,777,924,541,681,942,359,
072,296,791,969,899,474,810,930,470,890,880,783,141,456,931,367,600,543,053,
075,710,230,850,484,253,804,399,638,426,186,815,734,764,608,457,459,502,373,
009,316,457,150,649,306,022,032,689,216,224,558,218,862,362,532,273,024,803,
570,669,009,985,952,256,510,771,814,375,363,142,678,988,138,161,484,973,397,
897,376,342,623,685,237,412,779,660,238,080,650,930,960,940,363,557,518,285,
578,292,925,900,489,802,029,463,146,365,472,347,668,594,082,171,733,796,646,
018,632,297,446,639,371,765,041,799,280,270,473,744,829,851,697,201,705,454,
711,344,455,840,583,012,924,116,542,079,377,236,673,642,885,822,647,770,143,
197,850,172,222,747,675,947,281,933,840,622,066,361,746,237,531,187,108,799,
610,674,327,128,816,805,311,972,035,646,925,164,131,765,139,226,973,797,582,
767,559,423,702,575,332,405,557,459,874,913,635,502,287,883,032,556,366,857,
815,208,792,029,745,633,624,463,306,368,790,021,456,743,169,233,050,078,262,
723,403,366,014,951,302,283,969,980,272,805,733,437,445,299,437,496,937,494,
827,227,639,730,086,685,803,891,228,307,814,596,382,399,461,943,772,167,954,
031,563,013,431,707,694,237,902,853,243,214,467,196,249,412,966,655,430,589,
014,256,998,796,725,662,984,880,569,022,861,355,452,388,917,981,462,989,101,
828,645,236,701,887,521,399,460,584,466,166,541,109,273,455,208,377,847,417,
448,588,624,365,097,968,365,883,620,035,480,628,952,508,432,503,314,015,366,
991,992,951,656,959,272,761,993,787,645,610,189,284,671,054,076,857,933,681,
202,873,780,027,357,432,268,200,873,457,085,790,270,377,355,979,986,622,400,
167,936,743,019,647,985,819,190,511,791,674,950,542,523,353,718,209,453,900,
024,342,935,949,576,352,087,602,307,198,604,425,479,121,535,019,462,349,080,
070,033,796,422,292,906,524,525,787,418,205,352,534,410,708,684,233,218,888,
237,072,063,478,888,673,851,397,996,726,883,140,292,953,615,963,248,141,953,
977,199,291,460,627,113,543,442,063,989,569,804,287,009,121,568,443,411,893,
396,599,217,315,805,169,082,098,541,938,555,671,914,386,903,466,997,646,407,
138,776,334,801,218,399,285,423,584,188,204,596,274,760,446,874,420,221,561,
909,250,164,606,170,531,107,096,535,617,045,692,001,472,420,012,427,209,522,
940,381,081,243,087,493,040,377,131,351,923,156,277,015,398,953,959,032,415,
381,145,906,754,069,747,256,125,662,285,797,017,176,275,240,562,400,646,849,
092,184,444,537,351,945,667,690,376,174,433,363,198,152,198,739,731,807,111,
221,863,821,053,299,041,497,061,249,032,455,606,525,215,907,928,830,790,713,
978,473,696,328,557,281,165,108,358,989,858,773,278,012,631,429,600,602,109,
240,011,648,646,869,936,035,528,186,805,619,879,219,577,753,062,529,827,977,
697,896,980,693,127,658,586,584,211,424,031,921,167,401,355,517,266,842,071,
601,213,801,531,202,472,645,198,186,407,743,943,854,736,296,828,513,195,462,
078,135,403,776,042,341,769,948,147,692,015,625,866,433,054,114,198,945,894,
968,220,115,012,203,903,739,777,258,761,526,216,278,293,274,965,704,808,984,
433,246,297,455,388,261,601,370,299,902,992,817,485,472,654,716,424,972,429,
337,043,426,442,664,891,995,338,068,732,398,623,677,728,851,525,279,596,555,
807,171,443,355,725,703,665,473,287,580,877,766,775,807,300,854,971,667,152,
625,665,397,277,046,900,050,166,457,106,089,721,263,160,233,761,423,280,735,
532,890,021,837,083,535,712,603,205,372,866,094,503,513,311,561,372,705,062,
981,742,048,664,885,455,819,524,538,776,831,889,013,321,085,780,159,960,929,
792,234,220,363,755,099,012,815,014,892,371,316,313,526,835,400,553,349,135,
997,989,686,147,523,752,644,589,523,602,480,974,237,898,017,264,524,157,138,
653,113,607,833,096,556,312,834,153,612,262,011,792,778,280,808,884,401,598,
198,055,760,063,023,394,517,661,607,389,719,610,290,755,679,312,895,410,347,
190,577,174,260,118,807,446,274,463,329,884,089,080,744,505,724,660,734,536,
316,754,735,300,936,920,167,368,840,140,262,603,947,135,446,502,680,330,162,
142,975,949,769,897,523,994,982,232,178,567,552,850,186,077,321,525,268,849,
772,748,812,828,060,635,680,047,063,014,189,114,198,456,952,555,459,669,547,
511,438,593,875,220,000,042,984,912,576,646,870,785,314,767,497,406,891,889,
932,145,408,529,759,343,092,530,514,491,154,326,336,038,053,850,632,037,309,
765,519,229,522,851,620,788,749,105,923,639,536,272,726,920,902,092,805,607,
227,937,748,424,939,347,763,636,271,720,023,752,660,634,472,854,818,215,866,
425,293,906,752,331,524,627,395,930,230,306,741,597,834,121,834,570,933,646,
404,357,444,309,997,098,953,271,102,267,302,305,184,462,479,898,858,400,225,
627,384,243,497,446,102,375,177,744,982,940,852,290,149,137,340,948,549,150,
213,363,408,854,408,853,282,835,153,382,228,728,952,871,280,132,576,830,076,
725,410,538,738,063,093,467,404,345,707,138,382,458,725,125,019,491,044,831,
572,087,466,278,440,734,815,357,938,506,941,839,943,980,978,052,116,613,906,
746,915,213,433,357,416,969,060,157,925,323,687,070,359,635,435,896,815,269,
948,706,422,198,992,049,792,560,116,676,268,588,569,734,650,446,311,787,543,
900,475,739,556,345,185,511,428,361,124,454,691,867,220,349,838,451,900,217,
121,999,115,713,289,937,990,551,772,562,293,261,762,979,693,385,946,627,189,
815,519,910,166,298,710,435,867,122,666,270,096,162,772,714,312,731,304,017,
562,116,995,539,555,791,253,766,846,470,585,519,171,971,135,817,210,864,554,
420,184,141,421,563,144,704,417,436,386,424,670,543,475,245,638,876,011,464,
448,726,259,301,451,979,565,196,976,423,294,317,560,698,147,108,480,618,361,
614,867,800,817,108,383,525,997,143,321,006,714,558,638,902,636,956,386,169,
413,694,005,486,599,903,819,318,059,450,149,241,980,584,761,380,597,371,518,
508,490,256,543,816,110,643,965,366,148,837,545,158,619,174,612,471,519,774,
263,879,149,171,087,945,411,713,301,326,910,572,171,827,811,277,595,956,146,
179,420,481,379,334,503,978,551,560,533,688,920,517,977,971,764,969,510,144,
079,546,208,076,939,210,292,594,410,146,579,625,245,673,711,875,867,496,650,
966,921,711,659,012,380,284,331,805,571,717,975,830,382,927,963,462,903,425,
619,917,081,664,862,253,351,872,460,776,485,428,703,456,504,208,869,534,967,
606,642,655,325,070,770,376,587,052,324,515,926,719,786,059,453,194,666,607,
955,460,961,175,786,514,564,555,383,917,275,935,799,094,419,449,041,551,279,
813,832,428,190,476,795,230,125,382,530,233,645,885,477,155,125,823,024,438,
338,984,889,594,132,108,113,081,446,436,343,549,245,045,729,766,892,049,721,
849,751,397,885,883,863,478,679,000,219,880,016,719,056,538,487,318,544,990,
366,348,334,899,142,225,247,795,324,246,243,537,535,656,586,639,189,662,410,
324,235,306,606,176,662,979,989,176,141,644,377,140,019,918,625,818,846,813,
525,805,273,510,575,036,775,062,344,585,590,656,450,229,052,814,199,373,332,
187,247,340,868,718,101,005,825,600,769,575,217,532,944,467,511,517,101,258,
975,153,568,706,218,707,483,208,243,062,342,432,237,048,986,456,430,818,753,
540,258,913,276,546,760,437,919,965,396,423,324,428,593,530,676,183,408,533,
083,187,169,666,892,593,506,092,933,340,757,186,009,097,701,357,880,003,288,
260,595,348,177,600,199,292,699,311,157,348,516,704,258,083,694,846,207,658,
152,905,769,042,663,259,071,263,842,287,121,668,631,960,267,114,942,495,266,
515,003,890,783,600,021,257,307,459,942,828,071,886,303,072,721,647,618,728,
394,253,148,406,944,130,674,188,745,199,869,035,022,389,894,034,732,938,671,
489,494,939,677,061,899,220,229,661,136,196,090,000,859,762,208,106,616,911,
906,848,992,145,928,298,603,470,968,431,789,131,386,538,326,504,166,622,049,
926,249,905,596,185,534,541,507,465,052,727,738,139,789,783,004,555,769,764,
681,045,114,912,924,493,529,540,480,136,701,281,176,307,426,032,963,409,722,
963,226,305,283,415,605,471,073,960,954,450,183,318,691,806,570,974,619,217,
826,923,910,199,838,566,360,354,409,325,492,847,244,989,177,000,800,816,185,
830,769,315,081,544,635,826,038,275,477,923,020,583,324,937,679,481,548,144,
321,839,183,536,852,283,832,761,189,514,149,981,572,291,427,391,707,541,209,
417,412,552,365,111,025,360,365,795,025,639,002,263,603,279,152,472,611,647,
333,518,944,019,721,128,661,002,449,943,954,035,208,036,680,515,241,758,606,
420,127,091,536,384,579,929,384,667,380,606,473,610,561,104,887,053,598,773,
529,592,887,749,260,240,774,555,997,657,420,013,180,841,009,161,521,188,731,
144,937,468,438,288,829,554,315,685,139,273,329,720,145,323,696,592,963,346,
908,550,864,154,918,572,927,365,932,122,798,355,955,082,015,569,232,373,876,
648,157,733,392,575,172,275,537,015,048,807,125,356,481,492,996,274,340,741,
833,378,948,120,672,209,622,451,928,543,752,964,257,632,209,063,555,542,137,
351,944,015,272,438,001,893,329,787,585,475,209,773,802,193,261,620,088,195,
757,029,247,295,042,123,793,529,872,181,497,342,015,766,348,585,432,730,638,
529,260,885,095,661,784,228,416,124,539,206,788,661,315,252,322,628,429,171,
687,923,427,256,083,504,806,373,820,482,186,789,324,997,973,969,636,992,807,
743,713,053,082,454,772,757,089,261,852,414,515,499,993,368,026,312,872,552,
161,406,540,952,789,277,867,754,108,505,708,331,178,275,137,641,660,499,435,
834,519,951,031,692,432,242,546,428,862,870,820,693,196,307,635,505,807,993,
150,732,564,195,282,089,221,351,135,118,634,145,733,381,140,043,803,522,282,
755,422,573,766,006,091,562,231,010,690,728,955,727,570,369,947,658,348,821,
187,828,918,664,699,823,000,754,256,936,979,682,668,352,362,389,770,206,314,
637,320,149,733,596,160,292,044,066,289,101,053,312,957,189,418,961,355,737,
608,426,130,884,732,159,436,674,356,426,303,606,660,439,830,537,209,758,759,
783,057,199,665,094,156,594,122,569,935,662,927,154,190,407,508,984,054,326,
816,243,928,653,567,787,145,505,841,983,917,527,430,584,355,598,184,311,884,
959,837,351,510,748,015,042,638,194,293,621,130,344,166,894,929,804,720,114,
820,831,221,279,175,199,006,051,326,073,575,683,418,772,582,592,480,069,604,
466,211,440,250,902,873,951,886,826,650,620,255,647,251,427,687,960,950,059,
878,797,391,238,789,678,434,532,787,151,683,490,633,846,862,826,938,301,736,
751,417,644,554,211,079,156,015,343,529,888,330,171,850,631,221,650,028,652,
052,615,804,170,879,236,594,957,806,508,610,779,437,170,329,033,655,037,226,
375,540,842,204,162,930,767,457,820,747,791,422,865,346,963,201,851,737,190,
000,789,909,459,873,155,453,361,860,977,643,582,474,103,839,554,519,904,762,
684,553,232,115,661,883,588,132,130,061,274,202,784,045,098,138,390,417,102,
176,792,857,183,727,785,675,762,575,910,931,546,666,415,242,791,964,757,171,
959,414,805,142,236,172,155,152,844,335,096,195,160,354,580,997,365,613,099,
301,952,164,667,369,120,876,341,763,808,240,091,680,533,752,265,736,620,521,
349,689,920,128,127,110,015,297,557,670,029,375,314,011,870,404,182,177,793,
462,478,755,801,086,316,782,370,337,098,320,200,466,779,044,828,600,223,522,
014,412,301,132,326,245,110,643,124,503,614,689,397,530,642,321,702,998,561,
860,600,661,086,892,975,228,442,930,339,555,069,485,065,646,104,905,212,759,
057,629,956,016,165,434,149,056,426,565,153,291,276,959,153,532,616,658,991,
519,308,532,535,581,976,916,813,393,674,588,929,672,555,539,626,310,108,701,
536,563,756,679,449,446,041,979,923,008,697,808,201,070,852,363,725,813,046,
996,923,528,248,817,560,622,468,708,521,573,237,303,002,336,277,833,826,667,
796,578,014,353,722,532,091,365,759,481,873,725,803,281,577,038,085,278,886,
585,446,961,525,813,516,305,610,711,270,861,134,022,320,750,123,556,393,539,
410,342,441,011,692,040,427,957,334,930,159,216,906,911,476,214,159,763,397,
727,882,404,176,055,227,617,866,345,940,856,909,637,333,688,494,443,039,241,
427,239,962,776,114,804,483,172,849,154,737,542,182,416,956,663,202,270,839,
069,412,340,266,770,552,800,394,304,888,396,055,697,329,133,137,028,780,587,
917,248,639,420,265,794,128,039,080,103,436,525,669,400,835,492,569,013,061,
039,661,728,095,996,343,495,018,649,814,492,140,287,718,652,973,710,193,896,
214,292,898,672,453,653,231,469,978,492,560,227,174,245,529,013,759,655,521,
845,866,670,647,320,692,934,497,158,190,763,898,065,920,885,460,237,030,429,
678,295,092,140,127,141,709,793,615,167,009,094,288,335,246,258,383,351,542,
077,177,696,185,379,586,619,365,103,837,542,183,345,823,390,635,233,420,859,
629,757,042,551,526,187,198,080,537,536,489,701,416,059,836,113,915,800,487,
423,945,879,964,190,672,437,719,033,764,871,891,227,531,289,000,103,552,330,
215,618,511,645,906,293,267,892,896,877,090,404,180,287,607,397,683,520,798,
442,850,560,952,005,345,368,948,787,503,787,401,050,486,747,907,241,935,033,
222,638,693,504,783,284,808,663,364,476,753,331,133,488,660,535,660,674,913,
372,160,078,810,217,727,018,832,772,381,615,646,845,773,675,882,972,445,049,
953,719,310,308,899,693,908,236,072,447,339,011,367,020,808,029,623,050,494,
784,218,179,041,186,410,962,911,050,926,920,166,530,750,711,229,287,468,356,
659,705,410,187,611,472,905,234,624,039,164,001,718,334,769,171,533,459,562,
433,705,384,421,708,020,582,159,813,115,188,488,591,085,131,037,125,832,660,
157,555,434,830,843,616,943,611,868,693,434,514,102,230,584,874,007,304,254,
377,244,056,349,333,042,034,516,765,694,506,663,898,361,701,578,188,973,443,
899,756,197,226,713,973,195,001,229,905,515,913,663,541,803,088,015,054,778,
111,477,222,209,456,661,798,620,950,436,814,714,619,976,126,570,316,799,394,
301,962,216,639,560,887,407,073,014,820,001,901,308,227,513,178,735,945,561,
714,751,777,370,277,107,944,025,307,450,787,901,369,184,550,176,486,741,627,
282,520,284,528,555,253,245,601,968,695,602,318,662,915,842,049,062,599,553,
343,821,788,979,083,028,751,807,961,771,380,242,067,458,977,558,876,943,165,
994,621,287,457,910,703,021,573,265,117,678,629,682,168,856,650,651,808,736,
883,730,923,601,605,001,003,138,120,157,920,305,166,005,859,867,630,369,417,
667,147,575,695,995,982,375,739,116,941,043,731,203,124,234,672,183,329,769,
502,882,526,911,337,170,563,876,869,707,393,851,939,843,897,222,557,668,870,
194,582,637,049,729,009,718,342,662,487,482,119,581,446,061,258,811,463,923,
232,054,547,140,110,377,629,055,943,262,391,492,963,684,015,225,734,626,716,
591,556,954,284,517,751,300,180,737,067,340,208,997,807,872,222,062,401,526,
664,180,312,578,543,477,164,621,848,238,772,245,510,613,079,633,858,561,950,
926,051,631,599,925,936,954,711,644,785,470,888,197,038,947,598,687,565,191,
892,483,744,109,915,109,008,508,638,402,813,474,694,247,515,998,579,096,570,
105,985,686,807,962,514,604,649,059,176,957,165,513,841,219,030,633,336,838,
207,241,043,219,161,823,660,789,858,643,405,820,594,325,117,887,425,147,453,
395,027,724,815,155,586,144,429,407,671,120,823,718,693,343,953,658,806,965,
897,942,549,062,079,252,156,051,896,759,770,297,323,239,878,568,792,261,307,
326,203,456,784,616,114,441,200,414,778,492,346,860,270,997,266,200,790,211,
658,179,002,378,661,806,947,555,915,375,917,173,942,025,245,400,811,422,074,
971,589,122,362,264,874,754,104,357,906,602,507,944,172,211,398,099,609,231,
542,743,215,209,527,608,012,841,028,974,544,354,678,441,065,773,496,772,152,
075,577,019,998,084,986,135,228,440,328,347,584,539,625,439,781,770,700,088,
501,142,162,254,777,073,349,192,252,171,579,733,040,430,690,890,041,631,115,
588,250,110,305,249,647,133,156,817,842,813,775,086,500,865,336,111,184,873,
147,719,759,898,138,399,289,495,513,806,765,748,311,746,808,808,923,533,623,
297,601,116,136,551,913,594,856,627,920,806,556,285,877,855,922,959,636,719,
839,670,737,929,470,685,247,854,461,640,330,552,369,865,950,843,390,406,970,
612,116,945,202,980,222,696,099,384,576,963,554,222,558,950,448,776,958,164,
914,976,283,447,690,984,129,891,114,984,670,735,134,886,913,296,892,394,436,
071,859,994,888,406,581,181,731,731,918,237,380,938,919,757,708,034,470,386,
835,600,009,752,715,969,480,258,775,367,074,380,655,838,136,890,034,405,237,
469,400,428,194,859,880,597,197,040,865,064,965,547,716,305,249,662,150,144,
184,950,095,514,456,759,452,863,022,607,455,552,796,884,946,490,417,249,421,
218,263,608,746,857,953,799,915,729,351,967,240,698,536,756,321,895,167,231,
109,022,087,566,982,979,535,453,435,709,821,576,324,518,514,555,076,795,924,
758,743,719,456,600,866,143,832,534,103,140,687,377,169,826,390,882,960,060,
539,194,908,231,012,718,437,069,631,571,201,121,404,584,835,588,664,751,550,
102,515,157,593,315,176,294,861,911,837,072,514,154,014,358,060,766,014,005,
133,142,252,998,041,214,846,503,379,012,949,141,773,524,792,055,723,001,445,
455,433,086,689,531,475,078,498,326,097,592,074,358,107,497,197,068,070,577,
826,779,173,587,255,926,692,176,736,422,651,213,498,180,650,612,478,516,057,
182,305,267,151,954,734,806,427,255,384,678,920,129,495,396,322,678,860,086,
493,209,219,983,898,657,980,345,851,589,047,171,706,371,050,791,459,161,118,
541,299,861,431,681,227,117,572,187,402,838,801,760,557,478,622,719,591,603,
130,160,761,756,599,247,462,948,846,029,672,757,052,563,314,102,397,113,045,
032,336,732,029,178,502,664,613,552,821,832,101,179,185,587,883,145,968,469,
460,145,397,206,492,622,075,588,852,544,156,860,397,704,915,648,731,705,852,
295,309,388,921,673,364,638,110,609,993,299,599,157,799,489,436,589,798,070,
972,807,047,379,506,642,899,206,280,203,032,275,588,627,084,489,753,646,878,
722,421,565,815,198,413,171,711,692,567,446,320,570,933,057,151,135,121,944,
790,127,485,621,318,859,517,856,262,625,432,359,056,828,970,250,559,152,568,
098,040,318,762,105,593,605,788,936,626,934,841,475,672,312,858,610,335,178,
957,877,593,028,024,682,063,566,026,436,312,430,744,406,347,277,934,344,937,
335,153,531,353,952,253,867,713,103,554,161,206,944,318,632,438,917,882,633,
841,811,670,864,156,116,956,127,119,342,827,537,178,132,568,399,701,615,349,
646,379,696,905,380,509,654,691,969,530,625,781,386,999,553,171,468,765,171,
758,286,710,505,839,121,815,290,777,467,455,251,288,362,131,219,021,376,807,
150,705,605,737,756,780,639,433,771,925,779,229,387,023,674,965,403,704,395,
337,903,912,989,361,380,825,281,788,575,046,079,102,080,410,349,798,629,180,
787,107,193,540,598,989,911,538,786,584,645,117,710,989,679,435,222,476,864,
356,991,635,218,369,934,672,350,087,240,912,655,053,035,082,402,567,030,143,
094,804,511,888,310,532,958,727,071,904,655,326,745,018,300,347,248,440,001,
655,210,155,852,822,004,261,055,630,773,497,036,718,728,360,953,395,047,933,
107,786,911,648,556,344,876,895,692,758,032,053,957,241,041,359,854,176,623,
020,185,573,160,909,993,881,285,441,003,931,525,791,257,622,515,913,788,128,
489,076,492,512,235,460,585,301,440,582,702,752,895,785,050,651,698,259,820,
164,064,483,285,094,844,663,858,366,128,095,759,369,821,828,755,306,898,380,
799,887,704,432,615,004,272,669,354,669,622,302,164,603,353,217,613,877,710,
476,011,073,679,619,886,338,630,434,795,075,364,552,696,983,950,822,049,341,
626,254,660,591,039,001,914,484,604,548,518,923,226,483,547,456,658,030,459,
139,741,411,188,182,339,024,788,124,156,420,569,672,352,909,618,510,419,441,
761,349,460,679,831,833,088,561,721,933,010,553,662,949,504,653,485,283,073,
281,231,137,589,394,620,934,273,253,552,719,984,803,721,013,130,225,071,799,
715,768,025,592,392,623,924,495,914,744,692,999,107,839,478,615,182,402,461,
700,205,605,029,583,329,109,731,478,262,148,870,524,024,238,191,121,823,597,
157,646,023,844,611,739,745,948,071,890,358,343,023,879,060,335,237,561,959,
127,126,551,872,720,887,032,824,975,954,693,728,787,946,911,975,979,262,154,
343,849,620,198,550,874,853,783,911,193,589,438,661,916,587,056,213,607,570,
550,516,833,432,396,650,223,408,151,223,267,198,885,311,342,885,632,607,219,
426,012,402,562,159,256,958,115,791,857,526,425,119,500,880,029,940,343,281,
048,994,509,430,665,310,065,080,909,652,326,580,899,617,390,690,470,084,196,
005,070,320,374,084,832,395,058,399,894,401,303,916,958,118,307,735,321,133,
246,877,979,879,791,971,371,113,574,742,186,435,087,941,993,763,890,396,035,
036,856,500,884,545,484,687,887,999,892,303,955,382,566,748,353,124,463,897,
546,396,597,662,239,167,698,470,073,538,811,714,266,551,504,793,802,646,312,
566,318,187,506,222,947,491,389,643,747,541,142,775,370,469,566,513,319,784,
556,694,728,082,408,107,912,454,918,679,226,395,673,482,191,250,409,087,608,
761,862,806,305,363,597,810,604,938,371,328,742,849,839,102,501,318,378,183,
745,717,692,506,210,388,798,107,088,663,052,312,227,593,235,159,617,717,963,
665,172,620,309,462,848,062,946,753,490,673,199,182,479,548,018,700,193,739,
102,489,690,311,583,223,732,518,914,391,927,952,603,367,865,855,533,439,847,
797,114,697,884,137,099,070,585,445,235,479,258,355,550,371,868,651,741,493,
804,080,530,527,588,499,338,105,072,086,431,989,608,349,509,682,183,297,026,
864,444,656,348,508,450,949,429,590,770,035,762,603,644,198,278,299,881,246,
630,619,157,430,522,344,686,589,893,202,270,340,092,405,899,251,038,630,176,
760,896,055,775,754,796,577,257,705,942,525,639,036,252,444,760,386,172,344,
155,319,815,900,657,923,739,851,293,346,617,757,057,525,993,650,975,175,873,
530,929,532,758,390,152,856,280,496,672,476,250,627,320,042,692,800,138,801,
208,208,656,095,954,256,010,054,350,316,954,343,634,067,898,014,125,159,107,
415,439,029,125,138,490,961,607,159,973,239,421,439,720,305,660,613,525,168,
945,143,571,838,324,673,016,891,959,169,039,743,072,414,874,340,781,749,733,
585,807,451,726,956,038,768,926,988,363,132,654,565,796,790,354,676,313,996,
242,481,241,538,507,128,508,554,517,453,639,090,062,011,627,132,162,872,963,
275,036,290,712,579,217,047,153,658,527,549,127,174,426,931,534,970,691,131,
962,985,889,274,144,918,576,398,667,980,896,148,226,336,449,204,336,519,787,
973,240,607,323,029,169,037,112,851,677,678,731,513,698,497,350,348,647,827,
649,594,065,868,427,837,192,146,963,369,062,057,658,616,076,358,106,783,766,
422,296,992,062,779,188,908,081,553,731,452,984,762,946,353,574,949,266,135,
705,407,815,681,676,498,821,639,652,348,629,633,285,548,654,289,801,365,380,
574,960,237,699,676,541,654,671,432,901,521,193,782,525,694,609,122,727,190,
225,056,168,814,944,094,308,932,499,931,131,327,838,226,838,959,066,537,428,
680,585,925,626,940,041,758,308,084,581,473,651,293,687,879,343,068,238,425,
457,861,853,946,215,007,438,897,797,698,583,012,760,976,871,878,525,403,662,
516,687,376,913,739,467,429,302,138,329,563,565,606,948,911,531,457,245,230,
869,553,130,072,735,844,906,069,113,492,828,615,757,280,371,211,898,785,555,
567,898,624,802,388,507,702,145,161,600,498,304,047,884,728,445,209,614,212,
852,214,142,835,986,972,448,995,431,773,373,182,252,809,938,249,431,996,332,
312,423,833,183,069,830,066,368,483,679,058,785,485,099,917,063,464,398,620,
745,672,040,670,395,432,478,854,634,591,719,895,932,072,472,634,576,875,817,
897,507,837,905,534,760,117,356,705,676,550,748,192,534,670,816,087,975,994,
247,124,699,624,728,284,923,625,244,117,456,817,671,963,748,210,897,338,637,
358,663,291,162,210,457,277,863,648,138,064,817,455,835,597,414,545,295,629,
463,799,968,620,977,404,781,953,931,078,811,905,748,258,369,122,473,778,548,
670,707,481,941,627,070,620,113,231,179,274,749,987,594,137,708,118,369,195,
301,752,671,409,175,228,656,210,437,406,114,324,907,360,342,242,316,161,170,
355,640,321,389,878,873,511,250,457,390,806,713,477,666,757,713,428,143,979,
345,843,553,603,695,571,060,315,006,063,344,684,478,568,812,568,801,428,337,
776,558,996,012,813,753,921,719,351,400,257,882,250,667,030,719,856,887,826,
188,250,865,975,368,252,397,027,981,684,467,725,437,306,707,191,822,260,284,
775,661,458,728,603,269,426,483,883,751,204,993,372,152,751,546,518,768,964,
961,006,758,315,609,297,487,357,311,304,003,600,465,412,592,345,540,543,978,
999,135,012,999,142,297,491,848,114,612,299,840,402,351,333,425,945,012,606,
069,265,604,340,456,017,229,684,288,029,332,199,127,863,090,143,518,780,907,
324,974,500,265,106,413,578,186,529,118,907,229,319,946,811,490,091,757,764,
462,757,899,048,977,085,492,524,032,521,484,798,871,262,173,196,533,612,066,
278,723,981,318,839,085,800,268,178,827,197,709,487,378,560,289,068,601,548,
355,327,708,120,413,881,489,307,237,578,212,228,527,323,507,521,116,743,139,
619,838,147,706,866,953,425,250,987,817,996,965,188,243,007,461,664,422,990,
529,943,627,092,236,837,474,668,113,267,513,043,268,405,329,774,493,476,926,
436,079,456,303,540,528,595,018,614,810,026,270,144,431,418,056,611,398,974,
323,442,418,857,702,733,770,649,705,163,118,410,800,281,847,730,766,541,934,
784,469,648,477,678,440,808,720,006,742,846,621,088,932,819,833,792,291,159,
463,122,095,346,148,181,006,861,535,854,371,668,055,088,440,096,061,550,077,
166,166,824,848,827,451,098,829,227,487,824,524,938,235,204,611,967,542,569,
760,951,477,640,988,413,643,114,423,148,906,771,423,587,309,079,575,371,623,
823,227,775,812,119,779,443,526,310,813,730,873,114,838,290,642,896,638,037,
841,681,102,279,193,667,693,936,859,032,719,119,322,610,052,893,439,692,146,
221,291,842,162,483,464,579,445,819,013,495,887,302,025,294,029,493,990,059,
739,451,816,499,046,603,417,951,422,224,132,329,644,001,329,366,976,966,634,
510,168,738,612,019,433,949,052,875,570,146,332,933,044,676,625,683,265,984,
826,296,987,669,805,927,825,402,015,496,772,062,719,095,881,768,566,892,809,
562,438,499,582,594,471,738,733,527,713,223,023,011,047,884,677,647,016,159,
429,128,450,655,983,759,360,134,186,846,444,010,643,341,492,062,878,608,991,
301,404,603,449,415,055,225,484,380,416,622,064,397,457,822,328,995,845,624,
873,109,743,446,413,412,611,473,279,832,880,234,650,475,322,900,111,899,082,
964,330,325,402,852,197,313,030,663,122,230,521,374,667,702,357,387,008,489,
607,930,940,470,908,881,212,896,532,202,559,976,683,642,878,432,777,515,710,
369,793,886,052,272,050,330,765,444,708,980,436,481,777,667,979,516,567,303,
049,900,747,888,449,556,838,178,116,767,493,112,004,451,329,130,482,734,123,
406,694,837,525,407,453,743,084,645,410,319,446,224,525,376,535,628,477,424,
038,189,674,555,854,536,789,337,866,791,310,182,365,445,408,084,991,297,817,
019,236,805,346,219,048,145,364,291,172,696,278,483,645,590,713,738,893,641,
998,607,426,454,898,378,985,565,632,588,263,628,905,549,547,509,578,769,167,
237,088,938,224,990,529,591,094,765,847,203,368,317,156,592,108,518,699,065,
616,888,241,523,014,187,471,689,417,698,080,033,988,443,639,719,474,148,091,
333,748,010,369,749,909,776,571,054,948,639,921,172,827,606,849,878,744,033,
009,118,267,833,055,695,224,802,298,857,198,396,072,835,216,383,937,004,573,
971,683,036,381,117,118,713,091,512,003,518,929,411,626,352,280,409,573,924,
108,238,724,797,945,065,781,309,836,381,632,070,111,280,971,553,487,464,103,
496,508,793,313,662,748,726,457,584,932,520,537,624,391,777,264,584,317,019,
857,428,734,228,938,308,054,623,201,560,839,029,846,489,107,099,386,155,320,
776,175,954,055,025,787,919,461,558,204,752,248,915,271,697,987,236,208,804,
958,046,141,005,696,020,232,329,799,426,771,557,545,768,671,314,219,810,649,
690,414,194,269,966,140,979,125,202,032,844,892,822,314,320,711,007,131,020,
055,237,755,875,396,102,043,025,962,282,913,789,700,904,812,018,117,660,150,
192,841,378,878,684,448,747,679,418,114,463,177,636,486,885,105,932,642,851,
450,939,379,539,679,395,719,150,257,640,699,107,554,919,303,780,375,340,399,
737,497,648,718,502,871,415,239,476,340,153,816,872,961,142,883,269,834,032,
008,718,392,713,646,681,567,952,135,899,085,175,832,259,148,006,978,893,255,
880,450,826,244,981,584,656,822,997,435,352,393,299,827,004,223,524,121,949,
630,543,374,665,014,247,427,450,556,280,165,075,073,436,193,961,525,817,171,
785,483,145,392,592,707,280,212,355,332,719,675,739,554,052,945,806,128,977,
726,962,371,727,817,744,406,940,518,086,714,736,920,139,526,503,268,282,607,
654,386,620,981,243,343,980,023,846,886,083,577,894,175,053,918,088,688,510,
928,040,810,070,301,697,585,882,894,120,243,438,071,441,003,481,919,561,433,
342,997,204,656,950,535,965,928,361,573,099,041,142,775,588,573,070,423,664,
249,360,502,053,629,391,366,218,454,166,109,320,776,200,950,636,568,548,281,
877,444,933,022,783,074,267,318,245,672,052,617,296,640,166,360,683,669,584,
758,269,891,241,549,773,664,768,917,281,521,073,766,546,713,234,160,993,244,
437,464,992,972,372,248,138,609,124,958,633,176,046,596,710,388,761,589,866,
819,257,971,024,722,866,103,692,328,213,006,891,985,837,102,181,472,583,491,
092,215,819,210,298,762,540,857,736,391,963,469,045,138,608,142,147,366,022,
979,166,589,044,342,644,391,861,443,412,618,187,372,300,837,718,178,360,230,
846,807,764,060,671,193,945,128,039,614,350,637,682,227,363,591,274,414,292,
857,447,823,738,680,904,337,349,169,980,903,252,779,618,856,304,817,410,504,
498,389,280,235,797,410,790,442,683,037,211,608,468,891,179,997,208,582,754,
827,979,143,100,066,174,455,867,692,773,236,799,990,268,618,922,689,003,535,
441,709,544,745,901,289,166,311,664,899,057,770,716,361,485,738,461,298,793,
772,236,603,441,762,510,784,827,048,011,278,592,711,635,681,153,236,000,849,
621,349,276,018,466,829,547,657,742,969,519,700,189,206,079,941,072,790,216,
160,494,953,530,135,766,767,380,809,634,637,393,739,140,079,695,846,243,826,
309,469,324,623,811,671,243,936,203,056,504,553,420,168,209,133,052,843,310,
249,026,395,452,529,298,201,494,897,177,367,717,110,594,738,603,091,926,488,
804,205,853,314,127,529,329,230,043,106,530,736,677,048,511,560,011,703,757,
900,849,339,048,232,158,603,480,071,324,855,097,645,513,691,433,415,759,758,
846,050,372,902,998,835,681,658,247,436,115,516,034,809,002,479,939,692,989,
029,608,947,609,104,001,126,958,681,823,098,182,007,944,398,437,301,096,878,
374,945,439,269,653,102,311,909,226,615,000,573,952,354,089,994,017,567,449,
741,857,909,652,121,295,315,359,277,288,976,249,896,015,084,257,643,308,461,
898,843,737,097,456,077,183,063,337,267,587,724,577,466,646,921,578,675,964,
825,344,956,511,032,352,267,749,676,422,544,693,213,854,033,210,411,101,684,
571,796,339,496,325,579,249,128,477,458,605,058,519,989,674,469,441,571,994,
406,642,693,265,520,890,390,599,066,452,924,461,575,110,866,280,550,929,211,
270,635,709,120,479,257,116,610,478,590,482,531,092,552,599,533,534,619,958,
234,708,102,720,590,821,125,589,990,789,680,952,029,024,426,175,349,682,746,
207,060,845,434,134,094,665,863,607,253,984,998,014,208,946,934,927,507,237,
287,561,934,415,116,608,162,479,403,280,393,576,015,310,314,735,610,019,787,
770,511,343,753,981,939,455,859,878,772,633,130,802,937,936,914,243,543,227,
005,982,830,022,936,320,444,437,872,817,581,708,370,840,065,952,332,703,492,
058,828,617,198,228,464,815,470,357,903,788,828,306,786,047,274,154,963,476,
022,119,164,892,006,293,739,878,016,075,442,929,837,320,409,952,717,098,554,
576,404,130,699,838,061,316,614,361,782,710,475,068,308,168,709,063,372,031,
255,226,349,766,124,775,915,575,223,841,698,846,337,575,970,587,864,425,158,
647,742,728,780,797,580,819,708,236,517,134,878,657,722,077,180,308,184,496,
538,764,300,904,707,113,659,505,798,076,185,292,592,467,263,778,274,223,879,
404,318,783,687,924,024,517,009,293,863,796,463,477,520,685,314,689,279,020,
926,710,418,077,788,467,868,507,765,133,590,398,515,424,941,952,369,884,273,
923,430,452,940,407,199,780,618,968,941,636,611,685,439,151,647,073,372,203,
941,677,931,977,145,954,753,708,922,931,534,980,318,948,479,108,730,766,832,
365,737,106,395,542,580,109,545,194,889,054,874,703,100,587,627,599,758,220,
153,413,215,022,131,929,863,566,689,028,971,576,997,730,239,076,477,415,129,
496,201,700,191,140,787,308,253,081,132,524,489,314,927,941,611,735,051,225,
459,570,615,792,324,608,379,326,275,457,891,249,723,367,826,287,183,129,420,
994,830,886,897,407,060,915,667,120,008,948,613,358,793,224,185,759,032,413,
667,748,056,812,217,614,044,954,729,474,070,586,559,820,041,647,358,457,838,
997,223,152,644,778,383,461,631,211,040,939,986,467,881,353,112,749,956,108,
324,394,080,351,438,226,240,410,814,966,927,378,072,294,653,805,248,505,685,
009,722,276,613,614,961,115,852,143,356,063,392,888,069,622,989,961,029,011,
091,932,995,365,141,915,897,410,129,423,884,581,529,913,830,785,329,285,544,
323,294,870,293,523,969,931,938,204,820,051,438,348,124,736,685,608,068,486,
926,347,671,338,778,319,264,265,689,665,407,053,074,903,336,855,493,584,594,
622,052,190,342,897,589,109,619,649,101,207,495,773,489,517,289,505,979,687,
764,414,272,681,877,831,689,219,107,998,392,708,722,303,189,276,247,259,999,
561,216,553,058,144,039,520,159,186,251,222,197,380,806,472,465,381,537,492,
974,014,126,991,439,894,491,322,560,771,726,045,290,019,244,703,435,721,509,
141,420,196,858,881,742,474,872,938,412,075,777,930,247,656,445,546,422,209,
539,974,180,631,902,130,531,846,866,007,364,792,040,734,988,435,120,647,646,
192,663,445,980,864,365,247,410,667,848,865,271,935,202,950,407,362,702,783,
073,806,645,664,093,557,411,141,552,799,190,639,862,940,944,389,833,406,672,
920,913,598,193,591,736,305,890,247,929,125,717,630,564,256,960,215,557,484,
378,737,329,338,430,596,783,481,108,667,935,925,169,313,749,454,197,114,398,
282,788,229,321,908,335,699,108,774,925,046,694,137,618,613,465,744,628,188,
263,512,961,284,213,913,365,516,084,303,730,490,809,438,994,219,324,600,482,
498,098,395,708,564,301,152,656,442,570,359,306,720,412,248,863,962,437,163,
581,516,601,104,628,601,300,663,206,798,002,167,488,714,582,126,070,072,751,
334,136,435,394,859,791,801,703,482,636,372,042,101,772,812,274,693,705,840,
839,087,699,783,554,059,418,076,167,737,486,496,472,857,361,959,345,637,555,
790,691,012,619,199,383,450,487,916,979,850,912,249,812,932,575,905,440,460,
358,470,015,997,844,125,940,883,471,001,739,648,341,393,452,260,531,572,059,
470,898,357,442,780,962,748,811,809,597,271,413,492,266,062,782,083,925,595,
543,871,718,554,379,122,569,276,101,836,731,962,589,320,461,648,236,727,394,
785,023,676,689,262,173,043,055,659,858,793,098,757,293,119,206,359,450,866,
968,523,556,836,508,130,938,016,589,368,930,746,849,586,224,646,253,472,656,
082,049,628,001,749,212,463,607,536,475,655,438,530,336,822,080,564,893,892,
606,924,733,709,545,472,438,164,156,696,777,537,242,651,399,744,583,863,813,
683,044,989,647,370,543,338,715,259,333,331,069,435,882,382,758,188,179,945,
251,481,505,178,834,375,230,593,067,709,152,393,954,478,892,752,264,170,261,
786,756,772,882,052,816,526,415,374,754,535,015,838,310,332,794,554,677,250,
633,201,517,288,261,385,293,530,751,931,465,934,989,125,905,269,693,825,383,
438,013,533,215,919,984,388,102,262,589,105,852,916,610,938,475,653,010,841,
790,850,808,513,541,414,758,954,499,304,972,023,855,712,746,484,641,050,128,
381,272,589,024,482,291,649,404,222,443,174,418,134,282,989,907,422,848,567,
454,862,325,773,642,376,860,047,712,783,861,459,466,805,098,332,587,445,438,
611,058,060,051,821,880,886,477,193,981,129,784,297,927,770,497,762,453,983,
820,848,206,566,881,188,227,603,453,620,398,874,715,392,290,875,445,813,316,
932,530,193,908,216,261,930,027,025,344,922,318,678,365,014,668,904,904,761,
063,746,367,980,820,124,985,452,354,688,248,363,842,213,080,821,400,995,048,
513,086,863,998,972,476,430,858,990,446,687,682,366,901,174,174,558,088,865,
633,877,380,900,478,335,064,259,473,787,334,047,718,590,275,557,077,393,357,
818,845,074,777,777,688,862,880,535,728,908,480,272,803,083,233,263,744,455,
784,121,230,883,693,575,035,802,872,883,684,574,999,518,949,840,469,962,916,
706,898,285,000,389,949,081,320,197,038,186,969,428,876,075,517,638,805,399,
055,815,046,896,116,783,956,821,869,308,685,048,896,064,380,308,713,175,127,
192,151,037,960,210,975,143,109,552,443,766,769,564,097,374,829,053,130,621,
053,856,521,623,046,484,676,230,798,341,397,884,996,225,347,100,156,060,807,
033,438,517,105,940,837,792,912,784,027,783,112,438,310,411,075,492,685,769,
872,380,646,126,906,162,730,758,594,716,239,781,567,687,346,493,510,323,663,
017,727,051,334,644,406,623,646,008,316,927,984,696,076,974,662,768,164,918,
136,035,776,553,060,414,803,103,989,752,883,834,021,822,980,557,163,191,647,
385,695,907,974,524,163,608,420,556,277,073,017,569,681,133,264,861,066,625,
236,697,460,490,358,727,515,475,932,672,378,587,590,799,613,363,103,445,887,
238,092,425,385,603,420,751,442,238,617,615,148,364,109,004,728,061,628,985,
547,395,795,264,973,749,795,292,253,346,240,217,141,823,931,397,156,616,563,
064,379,179,886,288,304,091,748,415,807,700,840,199,751,441,482,307,258,230,
072,704,241,435,814,789,791,829,845,629,358,543,942,014,852,132,767,822,396,
416,689,875,028,584,052,473,578,973,475,691,208,930,071,744,573,968,895,042,
567,624,604,263,550,983,691,633,414,190,360,276,194,343,393,514,313,810,597,
773,653,826,612,645,619,619,935,508,707,703,127,806,702,931,458,929,712,702,
508,742,108,157,690,941,252,114,187,189,295,510,679,691,712,381,902,112,035,
723,484,027,145,070,988,519,883,203,132,633,556,809,447,532,124,964,252,855,
816,685,679,598,256,790,702,472,718,911,683,303,523,084,965,914,804,072,412,
107,179,198,369,182,907,387,936,682,184,871,898,580,196,721,910,138,431,089,
344,883,371,780,320,334,215,639,514,857,567,794,310,530,028,425,832,223,297,
711,338,652,785,241,182,141,456,519,742,047,068,286,113,011,709,006,536,233,
965,492,878,498,615,907,229,372,803,665,215,807,933,079,761,678,902,904,971,
570,990,856,802,396,561,394,776,121,701,768,543,400,593,122,208,962,949,972,
380,051,032,830,677,188,663,531,669,568,642,431,905,505,770,015,401,343,951,
178,315,535,799,251,807,544,447,382,987,141,146,623,958,932,745,195,702,994,
465,072,756,243,869,326,687,640,303,838,685,902,847,725,945,946,132,160,740,
952,786,933,748,153,167,090,118,504,389,246,994,452,971,524,885,442,787,118,
847,870,028,051,024,876,754,615,009,705,408,962,529,135,731,279,927,837,165,
269,849,939,376,421,610,758,295,937,249,001,261,958,298,581,084,988,491,143,
294,204,044,382,803,851,863,879,911,653,033,091,448,129,535,725,507,107,728,
443,667,222,192,653,543,991,822,522,628,896,775,985,340,803,292,258,978,831,
913,048,299,099,070,281,699,039,960,928,510,661,579,807,078,342,876,714,572,
972,214,402,049,407,163,290,440,151,241,787,774,891,802,100,590,356,333,373,
825,029,614,863,166,533,500,220,539,197,374,708,933,625,443,564,164,540,338,
006,424,179,259,892,860,183,448,898,473,320,279,115,239,674,288,268,076,316,
403,668,743,625,510,563,904,105,080,034,497,627,073,406,273,879,137,010,975,
963,348,037,088,199,431,844,141,200,640,922,341,456,008,830,165,578,578,765,
516,536,180,228,394,918,738,429,388,471,195,088,344,666,702,380,052,702,767,
500,183,688,688,502,917,185,950,891,840,956,420,389,138,808,559,130,002,503,
198,929,128,970,857,997,610,584,271,770,875,437,780,307,700,463,477,277,775,
608,888,944,501,630,729,916,745,484,920,134,862,306,820,497,880,599,446,536,
793,165,480,823,311,317,750,991,894,214,175,590,490,416,975,022,897,581,584,
901,483,939,278,638,730,988,489,308,300,911,947,434,054,313,075,543,359,568,
939,559,592,398,860,009,867,750,231,470,742,211,949,404,019,246,397,291,997,
476,545,917,742,564,129,771,764,380,713,561,783,202,927,761,258,549,809,368,
827,527,293,338,380,319,283,340,561,948,421,854,253,811,590,031,131,962,739,
137,213,973,690,341,332,148,093,881,840,543,907,330,857,616,839,356,242,049,
227,991,233,729,872,997,465,829,405,767,304,454,075,357,999,892,745,346,939,
367,640,486,757,842,301,754,207,368,291,782,042,599,558,592,770,510,031,203,
843,908,407,004,429,879,954,373,785,666,393,352,420,099,955,230,483,210,381,
645,795,248,563,729,292,836,875,574,133,015,156,848,696,604,004,412,223,769,
886,809,704,803,481,406,070,219,676,696,639,557,903,896,346,074,842,767,715,
629,937,771,084,733,764,789,878,567,554,720,519,061,537,857,931,368,718,667,
088,992,713,866,501,369,514,299,471,343,038,933,132,732,652,967,631,089,293,
987,098,002,211,399,418,873,160,518,216,525,516,365,146,568,564,377,199,082,
566,509,421,745,680,991,260,937,944,732,338,481,166,937,075,655,452,768,870,
334,547,433,503,985,698,922,188,328,694,562,388,175,400,723,644,438,019,956,
953,151,685,808,393,225,182,002,697,543,561,610,791,677,856,213,960,972,544,
872,195,942,871,153,554,795,490,903,194,830,429,584,706,001,119,695,965,309,
121,198,362,980,370,233,887,352,291,139,183,032,255,004,681,204,595,484,920,
132,714,121,848,135,350,207,260,667,311,395,869,063,884,175,241,811,112,892,
195,499,283,538,353,726,395,248,874,374,253,052,898,318,788,305,863,792,577,
948,278,897,252,954,334,829,977,153,786,551,938,396,508,306,233,567,326,453,
715,826,420,480,147,568,845,009,695,048,288,906,084,382,797,704,223,221,571,
640,592,589,357,939,718,884,803,212,746,229,114,074,135,479,862,670,290,390,
658,543,221,943,490,699,504,029,613,104,855,927,230,146,299,415,392,961,247,
351,824,447,350,377,618,688,670,365,497,234,439,917,758,531,701,665,327,343,
553,045,864,662,737,047,636,407,653,908,422,879,146,216,975,110,713,240,168,
903,861,358,978,252,252,175,471,789,183,867,678,631,515,963,736,750,753,659,
366,741,664,944,669,569,464,370,389,051,741,804,512,622,059,187,193,827,015,
384,440,272,190,591,039,381,878,067,150,191,352,113,677,318,616,910,561,379,
859,905,905,014,917,067,984,357,967,645,607,607,302,349,917,873,171,557,993,
562,506,634,888,957,814,027,275,359,587,058,989,083,211,086,466,316,587,067,
621,157,265,892,285,278,974,656,433,581,220,013,634,043,867,839,616,158,922,
055,223,455,260,341,532,114,519,605,560,702,917,495,461,225,947,230,033,859,
888,091,652,102,619,427,594,381,812,664,078,692,754,084,430,207,969,635,397,
018,463,998,509,005,655,319,515,732,108,777,535,976,482,743,948,123,458,273,
331,462,736,451,639,077,627,653,610,064,583,752,096,454,556,121,614,879,093,
427,019,472,557,277,561,908,578,089,790,920,381,347,108,338,448,161,256,748,
566,600,031,830,304,470,916,319,816,397,998,418,476,746,287,451,737,112,124,
030,816,829,109,883,319,274,581,403,502,056,363,728,677,696,243,464,676,917,
393,892,199,432,914,204,509,215,961,488,724,004,866,409,985,323,428,221,292,
865,644,703,102,633,123,748,311,052,370,885,035,323,443,553,189,813,421,352,
794,545,001,201,060,245,537,743,465,194,541,063,698,558,528,141,983,943,638,
029,005,050,064,777,930,660,883,652,348,991,061,146,380,303,112,444,288,109,
603,669,479,173,074,686,639,696,108,680,527,677,651,329,840,434,345,644,601,
977,297,820,973,331,286,445,848,506,412,718,383,379,136,449,649,434,509,438,
791,941,467,587,435,464,734,306,330,237,686,048,593,112,958,910,592,239,290,
250,470,375,693,708,452,799,636,083,370,089,022,812,604,131,813,761,667,456,
153,548,633,135,482,793,931,128,940,761,894,459,823,924,994,889,696,098,563,
648,431,992,704,467,284,717,286,796,245,977,241,382,729,383,529,669,596,087,
118,584,420,058,823,682,120,130,497,249,727,957,266,880,986,043,582,790,485,
831,989,269,735,393,616,425,859,044,510,201,982,909,115,387,625,666,003,977,
260,693,184,511,054,598,116,421,564,262,055,598,837,778,694,915,272,577,659,
397,332,058,130,843,723,405,880,654,503,337,315,247,236,798,452,879,322,535,
310,290,016,502,024,241,904,922,840,644,250,750,973,269,092,141,045,354,698,
483,261,141,418,931,367,245,786,014,697,437,666,975,735,175,463,226,398,991,
805,968,001,546,225,720,852,139,265,033,380,895,154,535,880,368,073,286,334,
619,553,561,050,235,803,288,654,872,514,793,446,613,401,179,134,844,149,494,
455,156,050,314,836,811,470,435,233,306,861,106,838,517,586,220,483,550,120,
103,057,011,666,478,018,117,826,800,610,717,953,575,238,847,028,095,796,784,
054,575,509,830,354,645,504,443,038,060,459,466,876,037,059,968,419,267,050,
942,384,496,248,334,852,391,482,737,154,765,411,882,333,032,828,152,644,234,
625,529,951,714,515,845,213,136,006,039,571,437,673,305,400,937,038,900,903,
663,970,942,729,768,088,641,136,415,634,347,906,074,266,954,807,352,130,220,
527,091,840,122,941,804,765,053,048,497,884,675,598,651,625,479,514,842,211,
180,555,680,888,477,481,470,422,318,010,192,472,570,593,308,261,025,727,107,
490,201,762,572,002,188,988,506,723,582,367,438,926,534,697,394,614,268,976,
832,099,970,266,783,266,600,006,512,033,258,509,207,456,866,251,722,241,125,
416,154,648,083,291,291,072,230,117,433,675,105,784,437,527,838,888,589,478,
326,672,171,033,919,158,034,486,676,093,091,245,616,683,618,272,642,672,908,
064,579,879,551,141,911,779,804,916,144,409,440,324,777,022,952,001,261,050,
325,042,366,053,182,583,826,379,923,974,972,754,909,484,761,220,899,544,319,
550,113,442,376,674,472,900,965,838,930,097,923,040,343,555,284,032,864,412,
162,347,920,121,402,229,379,755,105,202,048,639,501,332,150,053,322,243,212,
642,670,940,473,259,325,561,547,484,888,501,073,362,040,007,229,287,994,529,
134,765,736,485,168,059,266,796,559,281,941,898,346,425,152,041,821,877,464,
276,379,498,526,379,860,039,981,711,736,949,282,490,052,208,450,437,676,703,
749,153,909,507,369,534,695,747,612,453,742,960,285,713,376,435,307,132,061,
831,703,810,517,671,134,553,952,913,643,564,207,624,371,235,542,237,080,116,
941,499,796,850,569,559,577,395,193,847,447,317,324,466,548,445,259,333,108,
240,135,874,955,915,963,136,211,750,148,704,098,079,375,308,287,197,931,316,
735,316,469,162,444,732,326,768,483,947,082,915,165,412,695,524,437,337,026,
502,986,831,701,964,558,348,826,151,024,177,675,529,083,538,147,191,165,347,
681,284,630,044,570,321,881,898,014,204,170,424,331,982,858,635,964,656,607,
434,089,935,441,441,122,306,570,740,022,984,658,704,889,177,394,384,271,370,
345,017,860,686,749,385,634,930,862,326,603,030,916,507,099,441,842,129,259,
844,321,223,960,678,201,710,983,401,825,301,543,588,741,154,460,615,852,692,
270,270,507,904,164,763,926,219,223,103,014,176,325,982,204,072,302,124,875,
317,625,442,792,186,703,930,032,702,537,726,910,348,555,643,075,033,197,714,
854,731,060,130,308,291,505,376,159,854,535,767,144,664,832,065,587,680,744,
972,158,851,798,673,052,946,682,353,278,615,058,273,439,334,859,452,500,842,
110,962,790,701,109,049,379,061,633,794,406,228,375,407,187,899,504,028,482,
114,811,200,359,393,964,352,735,085,037,201,006,528,660,165,602,833,648,345,
779,127,410,104,980,009,692,462,227,364,984,716,925,889,615,694,614,989,409,
182,074,318,880,989,394,697,803,345,126,888,502,331,228,910,863,632,081,814,
534,880,388,190,118,929,521,448,328,768,546,261,141,058,625,107,077,031,227,
559,426,703,169,209,269,290,634,929,352,159,957,762,754,274,884,942,195,900,
233,490,320,499,800,845,719,829,403,211,227,076,634,096,317,778,876,993,766,
052,563,225,982,391,905,150,192,875,934,554,156,519,764,919,068,515,132,526,
198,514,717,616,696,738,134,104,410,030,118,029,902,854,644,597,294,564,120,
380,296,902,249,285,582,781,518,598,918,933,386,720,480,041,937,935,700,693,
717,882,612,435,062,341,328,225,679,108,835,266,411,551,197,181,429,366,639,
206,641,407,344,855,012,558,182,026,654,655,076,675,150,140,176,953,214,748,
897,932,567,504,469,460,702,779,855,800,031,416,719,332,622,279,745,535,051,
933,292,021,851,449,360,490,839,435,565,924,688,364,556,233,570,900,512,390,
049,694,781,367,441,589,564,388,676,441,591,147,183,439,233,993,687,939,107,
070,444,195,828,440,217,810,840,800,091,335,391,779,052,128,408,652,477,969,
957,585,355,578,467,698,901,520,530,476,866,880,787,739,620,980,969,099,985,
169,420,986,503,318,683,106,598,527,293,409,049,035,016,686,248,947,412,280,
205,138,149,929,211,480,628,023,577,748,792,232,100,136,213,962,225,916,349,
989,144,481,604,487,189,351,439,001,477,064,053,742,666,166,175,121,655,011,
016,029,363,293,892,095,775,082,164,060,847,274,981,274,055,225,641,703,658,
161,523,459,798,544,778,118,593,178,798,550,093,782,323,252,208,717,691,164,
526,950,193,244,327,800,124,941,960,164,894,626,518,988,493,563,093,288,849,
251,875,460,117,379,101,657,220,640,847,277,841,993,118,923,523,198,014,442,
616,083,042,406,143,877,933,546,355,772,726,600,291,322,918,447,364,632,671,
805,801,599,612,742,704,969,051,817,009,850,076,605,855,042,350,931,665,374,
887,442,773,537,201,541,872,888,162,535,759,250,536,197,935,924,293,641,384,
583,186,634,857,592,958,651,364,036,654,544,327,992,809,748,352,905,851,137,
628,533,852,317,932,210,951,912,902,870,914,001,873,932,781,471,584,721,372,
687,523,883,215,189,766,005,432,479,707,657,604,833,387,235,464,783,045,162,
290,740,593,321,074,414,123,454,275,693,755,174,892,099,388,496,705,259,258,
783,453,307,861,848,451,105,012,138,718,648,200,282,841,455,067,127,924,867,
578,754,599,167,724,291,178,835,634,346,360,718,513,357,387,793,047,424,420,
591,321,396,016,287,795,664,373,116,321,513,344,461,538,348,426,548,542,573,
976,139,409,516,053,106,627,221,478,367,085,303,723,633,181,121,973,660,157,
337,233,181,567,951,771,928,958,793,630,712,982,877,474,367,078,039,594,742,
567,843,335,350,233,908,234,399,313,490,492,961,222,461,055,177,978,808,438,
166,477,926,729,961,601,225,490,787,039,481,953,446,654,743,443,411,669,904,
147,498,984,395,671,539,350,800,369,789,798,218,870,643,146,138,857,883,488,
115,036,821,655,014,799,200,853,370,019,436,799,782,712,705,400,577,529,477,
355,442,559,753,093,626,989,037,038,944,240,681,292,175,556,018,832,194,521,
550,032,266,806,744,921,338,670,711,520,786,559,871,156,463,857,453,540,502,
406,050,166,404,198,051,461,435,150,815,012,439,631,482,545,299,076,632,209,
645,855,904,248,977,141,219,310,460,496,727,882,263,437,215,576,025,451,787,
273,420,589,229,151,776,080,445,922,409,043,400,695,862,717,728,855,894,204,
866,933,154,419,473,858,874,572,376,401,482,539,180,522,854,513,931,085,743,
586,415,394,684,010,770,387,179,092,660,034,244,368,904,396,131,894,288,255,
882,796,150,233,781,710,121,969,580,890,110,531,096,263,194,243,982,263,709,
622,931,313,115,759,825,109,614,360,110,383,447,192,373,058,070,839,900,415,
892,886,390,331,675,653,886,263,455,905,786,677,833,615,303,170,553,285,608,
688,316,063,097,776,289,208,505,459,966,905,927,923,899,477,870,144,414,501,
014,978,843,180,709,488,904,214,398,484,756,169,279,011,488,997,541,120,329,
940,594,129,225,299,873,085,664,476,553,338,028,475,298,298,037,478,343,617,
190,079,945,819,426,629,225,208,748,461,638,105,224,426,308,408,809,335,891,
172,671,861,952,292,851,956,285,454,713,280,317,727,194,344,195,402,787,966,
360,877,918,431,657,596,000,962,860,140,945,324,099,360,052,546,345,601,136,
122,403,283,658,189,466,444,662,254,175,727,891,217,029,604,619,495,129,695,
247,145,764,170,459,556,967,313,197,474,290,569,484,508,012,988,114,184,875,
625,533,474,113,120,579,132,096,247,422,763,771,650,051,727,717,394,890,483,
691,526,839,917,731,915,663,690,592,231,159,002,132,768,394,709,777,112,478,
724,768,285,605,796,659,242,530,351,462,368,806,879,891,951,627,672,240,509,
553,483,864,908,748,247,750,589,760,841,066,148,214,748,645,545,615,336,520,
374,580,464,684,671,939,071,692,313,222,420,607,876,217,360,329,605,902,736,
069,129,524,846,866,215,751,015,506,684,214,263,202,651,137,980,970,861,130,
992,755,734,029,492,046,486,756,462,275,247,575,962,454,095,544,790,116,660,
571,824,894,771,740,470,710,074,452,177,134,990,265,402,328,259,843,659,680,
316,398,850,885,073,336,555,270,746,050,498,201,593,612,197,268,475,274,633,
889,311,757,459,776,404,223,498,150,047,190,259,741,478,785,444,659,420,770,
390,341,613,887,527,753,343,898,007,276,685,952,341,714,270,487,391,063,157,
109,371,355,229,588,560,903,541,698,515,851,599,288,771,736,186,294,677,587,
700,736,352,157,830,224,473,332,412,966,490,201,521,589,401,926,835,959,515,
468,916,653,796,374,992,481,599,239,840,686,192,069,939,281,645,928,063,855,
241,909,524,894,338,869,566,580,516,574,545,044,643,020,048,327,361,095,212,
689,870,657,423,403,546,433,354,779,814,912,408,837,705,392,650,311,291,325,
861,405,824,675,233,352,451,376,371,792,082,951,061,220,141,557,094,907,709,
411,418,041,574,847,007,884,182,873,374,375,084,849,429,707,789,279,702,631,
361,876,411,207,877,452,828,485,487,919,925,080,673,832,521,273,404,281,507,
080,466,862,455,774,099,629,757,067,081,737,586,204,572,486,987,879,724,598,
907,467,691,669,895,543,517,703,687,335,871,089,626,775,046,665,012,183,783,
740,970,086,400,526,089,518,697,357,372,882,256,358,117,908,252,340,792,839,
844,713,836,479,491,045,350,670,657,156,983,916,968,183,735,444,170,977,723,
773,980,033,270,777,472,634,549,322,844,719,096,255,213,920,338,424,585,632,
193,744,041,478,720,621,976,197,771,656,780,691,759,440,533,028,327,271,885,
737,175,740,239,019,756,853,156,304,116,248,105,902,109,731,294,371,411,958,
491,335,403,987,330,941,701,094,722,631,491,131,322,317,666,809,771,870,426,
771,362,067,177,470,193,252,337,031,504,516,593,398,438,780,510,737,059,388,
156,454,611,560,856,107,621,280,613,144,820,395,623,494,146,213,172,768,476,
944,998,068,410,440,401,521,885,292,694,740,332,193,101,106,749,946,640,329,
562,443,908,676,843,590,499,368,429,732,902,901,379,987,163,867,926,894,693,
905,822,670,239,082,187,542,190,390,661,870,237,136,277,620,285,480,888,669,
234,328,024,608,800,670,436,035,845,057,017,834,379,829,700,884,984,226,806,
156,243,061,512,598,280,716,049,550,903,898,774,846,154,870,490,308,111,879,
536,177,005,247,211,336,876,063,845,554,413,227,477,953,505,715,546,264,619,
498,561,383,461,011,247,218,820,250,638,673,314,150,539,301,062,721,255,799,
050,603,184,279,264,904,691,127,216,809,917,319,898,787,258,018,282,306,762,
000,225,863,056,579,103,035,483,748,647,787,087,315,405,686,762,553,958,356,
180,290,535,535,994,636,851,758,173,906,761,492,061,639,200,289,201,644,262,
563,131,751,589,482,809,929,366,198,584,084,827,502,316,591,141,245,025,045,
763,634,268,274,133,474,856,400,824,077,861,060,400,358,419,126,010,859,052,
662,630,121,173,416,165,926,989,625,743,302,727,098,674,137,776,353,892,102,
411,595,891,200,214,072,074,408,351,965,683,924,944,111,764,922,819,059,695,
025,563,271,883,315,352,100,123,958,954,743,607,313,340,648,970,582,732,480,
409,179,736,619,548,356,335,795,262,503,921,509,000,189,060,254,717,566,749,
147,099,453,529,735,947,204,428,640,840,366,157,003,851,327,065,528,492,588,
955,241,045,289,339,667,884,087,481,576,384,221,383,461,466,562,792,262,668,
585,415,611,109,109,776,129,354,184,958,837,375,213,638,466,911,217,079,405,
623,705,221,064,623,030,514,300,819,433,349,715,588,135,458,696,692,699,428,
677,665,067,469,055,445,892,969,265,886,254,466,973,292,358,418,909,163,292,
243,120,878,661,113,750,918,669,023,917,932,443,263,159,264,269,011,458,968,
850,552,346,398,830,765,992,468,953,246,388,802,581,239,989,297,354,560,059,
379,431,544,960,236,479,063,005,567,310,380,840,393,859,832,749,299,435,653,
675,726,088,238,539,794,127,897,649,552,567,704,255,985,175,787,428,356,375,
413,407,749,760,823,620,578,327,686,688,328,728,399,224,062,753,730,944,159,
205,101,386,955,371,989,621,544,366,111,555,401,417,471,062,830,779,873,496,
132,867,183,838,343,505,712,698,589,978,671,657,668,180,658,164,364,192,175,
420,796,894,578,410,649,043,623,060,954,632,815,790,608,418,849,406,047,114,
076,449,257,197,576,877,120,420,585,673,337,749,161,097,731,362,829,023,912,
080,173,596,975,944,390,984,866,374,600,902,108,571,407,428,447,052,297,660,
879,473,610,019,770,551,194,352,389,372,522,662,395,034,338,326,467,038,192,
782,875,991,977,414,765,965,270,832,759,994,751,173,880,613,076,225,401,627,
677,099,321,389,886,626,187,399,542,941,543,394,618,595,024,942,223,452,190,
067,818,584,707,676,422,646,421,348,009,114,782,557,528,708,513,926,832,188,
623,974,994,298,994,114,286,019,913,710,458,986,318,200,501,104,304,812,962,
048,717,281,732,085,303,530,179,543,953,073,065,658,919,379,780,648,905,662,
280,319,108,051,716,492,153,263,406,442,188,734,341,970,643,762,152,095,331,
943,899,726,289,854,581,887,346,063,738,979,276,353,501,120,750,740,891,906,
424,681,135,001,392,299,183,735,236,615,545,982,299,888,705,467,809,016,072,
021,605,305,275,761,021,994,954,192,242,447,567,911,337,500,386,803,726,905,
878,429,452,410,577,214,762,893,241,781,872,688,926,079,251,779,613,343,606,
429,394,282,016,601,137,850,405,536,365,325,264,730,694,139,767,366,331,470,
357,659,826,924,080,176,830,820,642,024,221,718,530,424,356,397,967,984,846,
493,411,300,952,470,003,607,270,167,035,856,918,074,874,447,367,977,384,496,
734,163,472,971,337,965,797,562,670,098,728,311,385,985,694,463,976,872,295,
074,363,006,013,428,153,456,809,710,257,232,487,745,588,693,557,967,219,681,
088,612,030,107,340,421,324,850,531,898,056,840,367,658,101,920,554,755,148,
773,261,423,823,818,866,751,691,247,487,842,208,843,346,668,864,172,303,280,
908,608,667,801,319,399,477,300,595,126,650,728,510,304,196,503,705,761,879,
352,081,056,122,318,919,531,709,436,364,462,237,337,484,477,038,291,096,339,
004,494,282,598,657,100,535,395,544,595,278,429,582,149,559,698,825,081,304,
887,027,118,281,417,815,356,943,849,821,951,782,372,979,653,243,164,694,008,
064,257,180,353,036,596,996,066,371,218,205,695,147,743,674,700,343,570,916,
375,679,539,763,219,279,506,109,048,825,010,987,980,241,090,229,598,873,584,
001,616,844,886,917,903,815,598,759,547,921,775,718,402,010,313,464,299,349,
715,986,989,557,477,819,883,978,947,678,125,173,108,139,512,220,608,149,379,
741,979,061,978,149,449,088,598,693,824,680,641,995,701,279,762,018,239,880,
296,093,297,363,533,757,349,666,605,918,094,067,482,113,307,441,575,087,426,
081,253,267,833,137,142,038,684,635,628,240,618,817,252,008,147,898,361,597,
759,647,005,172,618,991,454,165,303,735,966,042,051,385,940,725,589,886,957,
023,646,566,715,420,643,487,952,322,243,615,009,831,304,703,307,093,767,262,
288,349,593,080,411,398,132,761,861,100,339,032,158,322,102,823,421,252,784,
587,388,990,138,844,006,590,671,781,378,001,345,930,654,378,572,317,334,785,
162,940,558,146,067,481,600,808,207,744,977,983,558,967,001,578,587,663,354,
824,809,034,333,242,593,476,773,123,387,405,488,381,215,356,471,169,514,388,
026,210,300,113,560,256,994,117,074,276,772,628,903,613,916,914,670,926,803,
838,274,542,923,751,814,771,069,238,039,145,426,871,718,884,679,430,053,489,
415,553,476,996,408,433,449,933,313,141,379,883,883,050,504,451,899,265,035,
235,497,816,244,524,374,483,362,766,660,665,905,053,879,862,253,353,376,415,
043,634,898,722,394,996,819,432,658,853,972,472,057,898,257,928,140,757,039,
802,357,810,080,220,521,666,464,843,678,796,996,251,106,065,442,420,648,755,
985,418,991,222,967,534,418,151,284,531,512,589,878,752,358,813,897,306,973,
755,635,658,059,762,021,219,563,931,204,293,412,960,510,613,647,023,897,612,
692,802,015,048,513,574,421,269,962,717,299,669,482,885,502,408,051,028,256,
151,219,796,709,861,055,327,422,543,067,160,568,625,445,543,327,840,670,258,
107,361,920,960,753,054,229,752,977,362,933,968,062,200,630,891,551,592,400,
329,690,655,958,401,424,274,527,139,307,696,341,503,933,836,559,868,590,363,
924,783,345,538,784,711,686,431,509,966,849,861,811,008,773,295,865,731,395,
761,128,671,577,968,488,544,595,712,034,351,720,509,616,688,804,388,431,820,
294,183,381,711,153,268,895,485,648,878,960,895,773,295,012,431,851,586,518,
395,860,509,969,586,734,337,701,060,743,967,370,782,176,292,323,741,083,631,
796,006,236,465,144,726,151,131,049,158,413,562,304,131,782,250,333,867,095,
479,260,978,089,742,348,741,923,003,759,512,227,877,058,593,308,083,752,120,
353,857,579,927,060,359,332,644,514,361,110,025,478,743,422,387,236,119,522,
964,507,430,258,533,010,741,001,749,733,319,716,867,393,674,798,035,573,002,
753,596,930,382,206,296,413,557,882,246,664,283,676,179,455,552,603,778,251,
963,282,111,171,127,999,323,029,050,923,430,481,854,928,086,256,944,137,933,
146,827,452,623,985,304,440,751,938,053,098,566,278,255,341,416,249,134,830,
098,570,516,121,037,006,510,643,054,572,076,924,164,714,045,877,870,414,226,
676,665,282,608,610,037,645,768,528,683,492,822,531,989,798,527,814,033,691,
094,951,240,666,566,415,138,046,440,657,304,321,994,842,489,393,816,336,292,
098,730,030,915,364,109,017,998,930,704,937,383,057,254,216,075,690,289,464,
908,052,183,905,099,526,764,039,842,492,345,861,953,382,399,293,738,423,546,
845,744,272,020,884,347,166,549,314,323,450,542,556,623,819,709,731,612,996,
576,220,227,474,731,404,220,788,961,268,273,325,991,942,001,717,663,939,991,
922,864,896,129,955,201,973,545,806,213,386,942,002,313,494,099,981,681,756,
780,498,130,076,406,480,593,421,764,250,646,164,227,094,285,817,733,596,744,
789,853,258,359,434,215,140,659,006,312,602,929,972,145,541,811,367,534,096,
746,998,030,359,428,209,132,341,544,764,286,550,799,457,403,319,906,995,472,
689,253,638,916,883,782,966,071,287,653,916,664,477,769,474,266,596,290,258,
177,510,184,156,311,600,157,450,336,107,482,843,113,972,075,903,685,419,414,
745,132,794,906,288,905,124,148,645,117,653,506,279,748,432,714,350,243,363,
936,871,456,189,681,586,372,481,607,885,263,141,565,161,358,341,962,825,047,
634,435,666,746,390,324,795,750,970,778,163,031,148,729,856,506,519,596,482,
688,443,307,669,188,282,343,640,859,465,947,371,939,403,398,325,337,264,723,
725,131,024,961,155,684,318,293,900,724,307,905,551,017,763,009,544,847,774,
639,433,271,151,107,003,374,393,846,290,616,894,453,563,136,577,464,832,762,
896,111,618,298,423,127,730,364,779,655,365,310,285,490,279,135,330,341,037,
299,685,091,031,843,663,917,342,492,695,416,170,406,374,555,080,490,482,066,
313,201,519,274,408,987,147,902,236,337,453,683,194,759,682,476,244,407,814,
906,227,944,156,278,669,479,673,362,014,714,543,594,839,451,911,233,498,281,
743,865,827,083,162,441,253,548,412,563,219,103,396,159,231,498,489,192,918,
910,099,864,328,201,483,946,171,978,574,867,270,863,336,165,263,789,225,952,
193,259,583,355,810,819,353,581,782,334,009,801,024,853,434,850,604,074,784,
955,048,933,572,113,719,737,615,982,878,350,534,147,027,994,090,933,410,686,
889,727,572,336,219,178,987,632,159,804,982,194,968,496,590,333,280,300,328,
746,489,320,110,164,139,916,135,059,773,296,080,733,483,917,441,860,266,033,
975,019,766,278,045,846,663,588,809,155,748,674,991,646,818,074,824,547,834,
556,668,750,483,050,936,560,762,648,445,150,466,306,440,841,945,227,766,051,
131,916,863,081,057,787,299,185,461,630,033,376,085,613,697,685,509,780,100,
075,838,585,487,991,657,819,110,014,997,968,614,538,559,538,823,854,519,424,
160,265,994,881,167,437,204,906,996,646,748,879,921,038,515,403,129,165,260,
114,174,549,749,683,924,553,215,022,944,457,874,624,843,178,917,435,671,807,
179,221,103,513,243,133,866,804,572,602,601,922,880,825,083,541,317,346,711,
459,293,014,258,703,090,383,527,439,325,894,496,218,030,763,338,873,327,414,
105,119,060,888,512,437,985,718,302,055,305,417,483,110,058,237,609,821,359,
484,161,350,074,667,449,443,428,081,331,835,380,357,961,673,426,320,156,879,
619,085,678,893,012,486,418,820,077,784,355,385,757,629,894,685,942,327,801,
080,432,163,859,855,854,380,947,579,978,965,807,927,821,972,048,448,383,685,
523,332,140,538,254,451,801,954,421,009,456,326,871,772,839,492,026,586,162,
298,789,067,021,365,740,615,136,540,026,517,692,560,641,388,136,507,169,236,
434,579,155,491,436,340,417,737,775,416,582,077,281,013,574,310,810,000,750,
436,062,387,573,291,228,672,826,721,639,894,683,005,179,825,158,992,587,325,
914,772,987,965,184,616,437,456,611,593,445,889,512,792,782,051,949,272,649,
217,233,560,904,938,770,438,080,415,781,411,412,463,238,386,126,257,707,684,
397,192,117,354,071,943,379,374,087,812,814,008,408,406,602,968,856,955,421,
975,263,511,286,692,771,947,094,111,787,413,598,364,153,206,090,802,434,699,
421,254,070,000,878,630,694,259,526,852,727,452,430,276,903,386,550,231,311,
033,719,057,219,598,132,868,438,572,154,932,286,097,919,688,081,909,147,327,
278,518,676,051,201,315,636,875,735,372,632,357,596,194,345,141,032,128,909,
142,063,176,134,454,919,890,488,684,245,323,891,697,982,257,777,635,504,071,
298,268,954,763,554,791,550,731,889,132,167,928,446,718,072,883,671,206,690,
322,544,514,706,299,266,532,907,270,596,128,946,405,619,340,353,954,478,275,
124,227,631,546,087,524,313,575,213,018,541,591,646,044,338,370,008,733,472,
948,189,033,049,798,838,277,768,659,643,388,617,640,674,979,095,311,537,990,
756,865,740,549,180,499,268,493,138,199,442,011,025,443,076,594,500,252,517,
199,151,348,644,238,786,162,881,271,829,265,978,908,035,863,540,526,177,757,
310,379,196,219,590,627,454,873,907,396,117,868,887,044,349,816,434,245,168,
814,655,965,865,424,465,309,065,995,300,573,189,150,511,857,303,667,918,773,
323,910,652,749,149,269,094,356,553,989,556,431,428,265,352,901,268,941,285,
645,461,902,572,226,936,108,963,814,744,401,398,666,609,274,348,542,784,663,
619,521,810,546,259,483,767,919,643,729,249,593,378,830,484,851,923,052,378,
307,310,618,401,960,663,853,919,756,442,575,424,662,881,174,378,671,948,734,
000,773,129,240,190,821,164,210,680,394,355,126,030,155,825,663,763,873,785,
610,879,275,574,197,677,701,110,092,773,016,117,859,286,911,443,602,348,612,
392,004,180,838,569,918,978,037,403,780,430,407,771,377,927,744,795,755,000,
290,450,101,307,551,535,487,013,064,006,842,413,102,389,067,024,907,222,813,
416,971,288,238,161,732,464,023,651,611,384,044,305,417,574,216,290,701,240,
185,558,804,786,187,899,159,700,189,228,214,817,187,318,838,127,521,022,089,
482,883,904,740,299,323,951,539,102,608,965,129,755,434,377,277,087,748,617,
713,320,848,242,031,428,153,385,737,545,092,723,171,149,822,035,448,219,468,
154,349,431,387,937,031,414,228,877,144,135,341,135,367,273,243,727,526,493,
824,259,719,032,351,682,253,878,779,606,117,690,150,541,807,343,477,159,110,
881,288,332,413,634,985,755,240,194,167,212,051,062,241,414,027,472,326,555,
974,608,246,192,745,413,527,537,464,542,286,883,673,482,513,928,242,527,374,
428,014,773,248,664,004,140,271,852,452,343,203,832,538,225,328,609,946,640,
133,451,522,405,844,094,993,732,400,079,846,945,921,036,574,273,605,606,590,
696,906,088,485,725,804,971,029,471,478,663,427,824,298,271,527,067,986,580,
621,519,512,088,617,282,433,922,420,142,106,059,955,184,961,658,471,055,361,
823,589,222,953,871,782,854,934,178,492,494,015,863,783,797,255,174,272,523,
409,604,469,371,305,279,920,651,897,002,056,291,107,876,847,490,123,209,297,
667,723,965,520,600,258,326,097,428,045,155,083,715,909,740,900,000,765,519,
280,474,001,138,233,882,444,886,263,887,447,421,312,015,304,510,350,685,542,
446,909,079,219,527,874,732,202,209,700,817,828,675,759,806,370,854,923,037,
617,030,396,976,829,833,026,628,523,231,636,640,351,794,811,661,988,093,678,
136,535,105,954,860,698,440,720,201,014,147,983,721,975,094,626,992,330,343,
593,459,715,897,867,864,032,662,301,234,296,621,833,470,247,976,638,342,875,
350,562,528,724,695,078,303,767,147,938,849,459,651,028,423,616,885,985,846,
331,614,933,745,033,376,576,360,399,661,748,406,414,121,567,830,925,850,581,
015,818,543,235,772,011,329,868,154,928,824,811,963,507,639,585,927,000,015,
587,476,688,392,014,543,899,669,316,849,733,240,222,655,787,882,165,496,453,
397,392,507,847,203,174,065,031,923,389,737,112,258,728,412,140,224,795,897,
161,639,620,252,430,265,149,799,646,318,865,629,692,925,196,846,506,418,626,
930,855,180,205,255,577,438,363,205,095,063,657,441,577,997,293,098,577,692,
982,941,151,273,079,839,470,577,064,811,515,262,749,531,125,258,258,041,198,
117,600,452,145,417,190,669,004,877,019,159,066,141,871,924,977,113,921,755,
548,238,570,677,246,312,860,957,527,613,995,544,495,146,729,036,098,661,512,
416,203,752,794,476,503,207,041,558,086,507,004,480,575,197,618,234,447,155,
755,287,880,085,384,186,446,642,419,354,382,184,558,131,643,662,100,300,022,
119,407,026,157,873,787,253,214,041,115,614,990,989,447,709,417,168,444,361,
690,229,012,098,980,975,884,991,213,311,743,952,139,773,851,953,896,296,114,
310,376,812,700,098,884,610,408,470,215,760,617,327,238,793,791,665,070,657,
872,694,949,858,171,097,790,497,870,151,930,172,684,679,795,142,465,327,675,
056,607,656,812,879,631,798,516,303,045,782,767,561,449,178,430,291,304,861,
153,918,976,213,413,595,087,124,365,367,370,256,363,768,433,796,872,130,293,
198,948,367,613,252,131,907,274,616,820,401,906,009,478,547,101,282,966,526,
000,506,616,869,609,226,762,100,755,931,796,350,550,551,674,117,099,292,666,
172,286,224,756,874,051,714,006,380,961,199,460,046,485,437,147,587,326,750,
721,431,781,493,521,422,554,837,720,133,423,317,433,486,518,398,697,759,535,
536,325,969,983,742,731,586,608,438,302,660,679,649,204,753,066,288,427,314,
155,251,787,079,031,796,435,734,964,976,748,093,734,030,332,647,246,775,026,
493,088,360,764,204,026,623,414,872,842,098,392,087,302,178,139,293,843,769,
090,030,274,343,304,440,790,569,535,052,708,615,514,336,062,667,688,508,009,
011,255,198,921,086,520,361,461,063,862,545,861,012,422,896,173,260,229,371,
312,250,939,479,371,128,316,497,342,024,713,713,444,308,305,154,007,973,342,
160,156,845,410,020,897,842,227,614,331,360,905,609,870,466,973,891,307,483,
001,918,373,339,833,833,805,299,398,630,555,903,395,480,462,886,732,718,854,
392,218,809,865,952,022,737,926,574,642,624,210,382,912,868,338,038,566,954,
943,233,567,557,080,118,347,113,123,430,664,466,480,719,634,194,339,984,717,
588,465,705,446,873,565,831,421,839,403,300,419,129,358,211,338,291,715,239,
331,281,336,759,761,006,711,676,603,910,911,184,893,552,748,584,213,864,486,
627,687,654,882,764,693,657,536,172,965,113,533,602,409,053,914,246,316,293,
761,671,280,880,128,517,371,452,875,314,958,662,949,842,358,426,601,818,564,
101,740,838,969,111,807,019,654,292,964,568,522,319,003,941,772,404,520,271,
512,290,778,223,742,680,709,258,155,359,291,051,527,800,455,264,411,822,867,
182,307,307,345,075,232,889,784,638,045,184,459,622,171,850,962,106,470,363,
706,845,679,625,060,540,964,977,871,929,313,685,616,523,448,928,867,415,047,
627,230,580,284,428,148,962,148,319,070,647,729,750,998,852,541,746,527,042,
350,155,809,800,071,562,652,392,251,547,988,888,813,065,044,857,239,373,444,
027,083,477,918,111,362,941,703,695,921,480,699,339,828,209,424,580,083,760,
050,432,055,317,434,576,888,090,499,948,959,205,731,655,618,690,213,737,314,
533,740,530,863,115,352,539,105,897,922,552,550,182,749,430,449,103,282,085,
657,750,582,872,286,561,605,143,195,759,668,252,566,877,575,219,769,308,955,
406,095,515,317,432,780,629,492,581,158,016,721,789,594,121,775,462,199,775,
319,908,726,975,891,038,469,239,750,031,598,586,160,547,436,998,926,135,729,
824,783,710,728,317,915,272,430,328,802,650,307,556,557,077,840,840,951,298,
030,804,717,937,471,171,743,078,319,408,317,551,496,261,749,740,721,495,172,
650,661,412,241,114,710,618,719,101,692,929,053,111,842,518,072,845,996,102,
795,512,757,699,237,283,151,628,969,518,541,298,788,186,735,438,301,495,004,
572,617,792,705,886,824,343,860,987,333,734,911,155,863,691,686,160,990,961,
786,744,067,540,070,794,560,602,916,004,460,851,526,728,640,372,351,466,483,
231,796,719,934,563,310,451,273,208,092,593,479,556,196,819,266,590,910,625,
275,614,495,780,478,004,117,935,819,425,131,457,025,279,080,329,055,577,951,
432,535,743,838,344,674,787,086,356,578,064,073,924,274,938,289,630,694,152,
429,495,707,597,287,006,235,348,834,127,774,915,518,042,223,229,950,957,606,
205,126,274,508,755,809,614,537,558,318,496,134,048,331,882,229,966,535,787,
053,465,280,160,064,501,647,987,961,514,886,694,441,976,472,456,870,640,414,
821,506,602,714,222,136,705,158,662,331,929,429,321,764,140,664,002,518,438,
915,157,919,692,810,493,697,136,603,530,937,256,447,547,097,614,968,661,890,
762,707,580,474,139,400,942,783,644,323,168,464,131,442,438,207,867,056,054,
909,100,464,268,504,411,138,565,559,351,171,809,261,528,427,893,863,713,682,
518,910,106,096,669,520,462,674,701,715,463,003,869,969,850,306,225,806,930,
994,086,477,503,159,429,984,303,757,769,001,342,807,556,384,614,773,270,142,
395,999,705,310,456,318,432,729,934,148,902,563,160,341,172,178,237,405,787,
104,285,081,252,831,297,887,883,792,394,035,088,804,761,337,458,658,681,291,
806,281,461,228,833,427,593,026,287,481,542,955,308,213,649,738,425,539,593,
043,916,963,621,322,521,628,339,104,321,332,636,034,139,523,243,577,246,951,
336,230,135,733,607,177,455,803,152,638,842,435,356,973,745,855,349,218,934,
956,906,193,967,776,521,168,707,821,312,353,620,792,032,468,640,251,142,683,
509,584,825,422,197,122,028,020,753,458,789,898,270,424,635,715,295,195,256,
234,377,411,979,620,129,852,948,690,587,161,129,262,525,090,968,307,352,855,
233,432,711,068,898,560,798,758,196,351,472,640,872,333,041,191,758,151,981,
064,645,104,470,751,431,414,201,158,913,370,769,294,898,775,056,145,356,466,
121,726,928,373,754,658,703,070,944,278,960,956,791,813,389,801,206,114,455,
142,481,304,284,254,439,249,797,022,039,489,974,293,306,856,269,817,661,401,
487,105,815,211,514,063,154,698,380,758,388,008,367,753,022,667,321,187,084,
961,990,202,362,388,294,497,627,865,685,130,442,990,300,758,042,447,334,543,
040,376,377,532,012,119,255,561,345,016,137,155,380,124,865,555,503,586,735,
492,802,228,511,199,690,275,933,786,920,294,839,817,186,541,547,883,489,276,
730,210,806,525,968,052,821,002,407,149,434,615,666,497,179,313,116,076,373,
887,773,812,475,700,240,422,576,130,995,360,354,067,922,324,799,194,652,184,
013,165,113,398,367,437,817,281,366,347,767,778,845,474,664,364,481,967,941,
446,877,300,189,298,649,322,233,565,321,272,296,625,658,463,805,053,364,841,
882,997,266,745,748,338,975,540,037,319,554,779,274,142,435,751,042,933,914,
909,643,502,570,533,359,883,181,772,102,424,618,016,836,191,522,180,908,240,
285,659,975,515,497,744,278,897,958,815,663,992,393,685,847,832,809,446,533,
027,287,065,719,424,558,799,707,608,061,985,708,278,721,399,209,582,399,216,
404,111,260,144,612,165,911,495,938,675,937,544,883,487,806,753,089,906,376,
212,936,660,045,701,965,741,272,707,343,377,624,832,891,560,152,503,987,801,
461,221,938,412,530,144,869,434,202,328,121,257,096,716,901,254,582,135,134,
926,833,614,387,524,638,664,986,637,600,178,356,336,967,429,727,741,195,954,
675,992,986,558,657,588,112,908,878,639,325,427,209,570,279,982,426,784,665,
438,662,405,378,355,112,006,985,104,886,004,020,997,790,468,661,759,038,912,
474,691,974,577,636,162,778,463,580,920,721,319,919,621,383,899,306,803,599,
063,345,002,996,493,632,741,969,556,454,519,128,929,459,170,210,656,596,204,
999,284,150,510,430,596,376,243,948,183,347,603,777,913,335,896,271,465,495,
599,268,480,127,343,190,751,502,741,149,923,607,504,577,098,842,845,357,857,
041,306,731,638,340,045,733,384,124,887,239,666,758,905,287,835,120,257,120,
471,095,922,838,471,688,342,291,595,173,075,249,896,920,680,033,156,207,828,
329,188,455,137,310,148,482,059,055,013,560,863,308,832,993,429,136,969,778,
558,812,792,433,566,608,872,737,311,078,766,573,721,695,031,361,254,657,168,
587,483,912,028,821,617,880,262,484,818,743,127,696,396,051,290,768,933,774,
580,891,772,628,669,114,588,756,607,454,052,882,051,942,043,043,928,721,992,
279,846,814,000,434,402,813,109,731,206,110,099,936,359,065,236,948,324,168,
075,214,651,985,968,594,744,230,155,754,667,766,574,323,475,098,122,095,834,
133,572,297,396,144,815,155,976,542,259,680,106,630,057,874,463,287,177,159,
848,080,039,668,539,871,191,574,549,507,468,802,285,342,057,414,929,392,626,
016,713,842,904,726,456,629,881,788,812,509,915,676,754,200,798,042,102,588,
037,674,926,997,989,573,648,497,608,135,874,695,199,398,228,065,553,634,211,
710,320,322,831,434,481,501,610,829,300,779,668,905,892,572,143,010,879,370,
903,530,936,084,412,805,543,836,367,988,080,340,821,623,422,527,418,123,699,
432,571,386,425,059,184,953,486,703,328,253,355,925,821,720,962,329,075,155,
680,356,346,146,009,018,012,219,007,133,689,594,243,468,531,854,658,385,695,
858,332,604,101,562,109,027,618,387,465,996,391,574,774,956,625,566,813,237,
577,979,099,518,066,938,184,022,133,572,438,455,139,226,277,932,210,274,424,
793,779,185,215,074,727,149,390,321,224,165,595,092,359,306,328,809,816,183,
798,276,721,770,668,840,755,716,082,395,544,918,007,137,362,973,866,384,205,
056,655,280,736,929,141,468,777,251,047,313,974,967,310,006,648,899,799,244,
166,912,272,733,147,339,900,702,600,514,501,612,348,934,153,579,326,264,040,
056,976,591,749,896,286,732,440,973,448,562,959,961,146,852,613,903,091,852,
852,794,821,105,759,858,999,681,662,468,113,847,701,978,253,189,198,358,936,
024,619,699,568,767,788,354,057,692,612,938,150,320,878,622,651,898,536,392,
947,994,099,097,385,594,042,469,173,897,140,980,963,161,993,548,941,545,333,
965,371,989,974,780,698,568,979,507,874,866,994,297,560,984,049,835,784,253,
559,145,329,821,592,957,612,008,094,998,395,671,105,712,708,486,435,617,005,
202,342,379,735,812,015,532,239,482,028,813,995,374,273,530,467,498,930,922,
781,187,851,041,567,077,836,977,779,797,160,310,162,890,257,773,229,989,958,
084,820,409,896,304,390,209,614,514,641,002,499,089,999,065,041,404,176,078,
673,308,093,234,112,530,840,692,348,168,057,089,252,133,080,154,951,913,635,
546,055,404,753,474,653,620,390,296,352,292,912,792,968,948,422,542,916,339,
028,141,827,398,629,381,773,601,751,711,759,300,287,025,553,302,769,805,487,
292,142,970,362,594,371,671,341,246,255,852,199,647,534,844,558,229,215,945,
192,191,619,649,208,569,496,739,143,182,512,484,905,480,894,978,142,987,808,
676,279,476,294,785,010,837,535,520,540,259,572,105,464,959,841,289,081,224,
219,786,021,397,485,459,684,286,990,755,642,355,443,254,421,574,113,913,835,
801,187,620,026,812,655,362,816,564,434,642,396,108,518,703,386,528,266,623,
235,579,802,059,853,173,398,558,003,948,044,447,948,714,605,918,180,905,834,
092,465,432,052,835,370,527,479,533,828,265,397,994,602,567,030,645,686,157,
128,362,142,903,299,113,194,439,028,191,456,966,564,573,625,740,395,910,295,
846,230,844,054,505,268,559,677,304,610,303,565,124,719,611,076,534,678,427,
414,548,883,236,888,942,436,301,347,666,028,150,005,401,730,920,790,996,952,
125,863,797,233,738,343,347,643,078,344,223,426,571,621,956,552,244,676,188,
077,921,644,229,677,332,260,896,603,425,695,175,046,331,963,108,430,649,309,
567,796,330,245,044,537,720,039,554,466,415,274,955,844,775,663,398,767,641,
736,446,187,119,793,351,023,427,056,580,083,535,576,975,648,088,253,779,578,
096,636,202,623,810,348,309,500,648,788,741,618,200,668,924,733,412,234,792,
441,469,552,507,136,835,150,435,162,377,737,003,846,241,444,939,201,757,595,
466,419,943,745,469,413,980,971,022,203,918,417,166,721,650,798,823,493,479,
494,393,672,561,547,085,117,774,358,639,403,224,157,529,734,573,128,093,861,
251,564,910,670,092,428,017,635,438,964,491,105,053,814,860,037,636,063,342,
030,039,642,579,359,236,885,143,346,998,232,550,944,020,274,036,166,978,026,
841,640,105,383,125,575,909,755,882,994,464,767,037,087,971,831,510,773,953,
153,835,603,734,667,015,204,888,705,705,017,510,570,474,507,607,688,555,436,
033,506,626,267,865,536,386,849,887,538,842,464,684,760,745,958,453,606,623,
807,461,516,914,414,685,862,596,360,369,222,444,614,099,143,611,438,214,887,
022,554,904,013,578,336,722,945,145,933,202,566,782,936,126,426,136,884,424,
945,921,886,114,769,627,130,669,400,236,392,155,077,356,066,537,879,209,054,
900,995,030,372,898,315,810,230,108,151,800,331,495,871,922,747,812,570,575,
212,132,751,289,525,204,958,527,395,335,971,985,115,105,536,512,131,439,647,
374,298,876,188,843,145,243,218,649,825,425,049,706,863,573,773,633,118,093,
325,975,965,237,735,931,626,920,858,959,017,802,094,351,955,367,963,179,817,
304,038,598,763,761,030,852,942,661,909,052,132,438,242,112,353,858,869,147,
982,666,035,958,367,427,744,002,307,237,975,181,823,456,752,800,916,524,524,
784,098,287,305,484,870,777,732,585,303,039,379,073,555,989,097,325,520,602,
426,957,932,455,345,536,550,104,315,377,380,782,196,156,798,817,249,822,145,
774,145,777,991,455,507,614,557,813,181,537,640,917,015,330,896,223,476,553,
823,604,546,389,201,318,291,900,174,402,435,815,531,872,824,483,948,850,065,
175,411,613,057,531,815,646,569,870,997,269,873,541,085,553,185,728,796,488,
268,456,817,560,788,369,470,843,264,717,914,652,073,504,791,195,198,552,233,
074,318,188,292,501,629,342,145,526,059,923,739,255,524,003,594,778,561,933,
491,588,847,176,915,003,933,431,382,400,006,023,889,209,027,065,436,680,004,
056,689,192,865,187,102,752,885,127,507,265,807,978,545,231,149,538,630,810,
492,084,818,687,561,607,954,562,596,250,459,141,761,517,300,761,572,398,591,
902,417,023,111,884,034,585,740,060,238,410,213,399,795,852,904,966,807,782,
398,008,099,085,158,228,678,238,076,377,572,934,944,959,623,839,298,063,573,
456,993,251,588,797,478,883,200,672,671,701,200,248,128,548,157,484,825,057,
664,906,551,567,853,413,663,706,361,458,002,961,683,232,043,791,801,227,869,
649,243,330,991,167,085,354,892,116,190,951,968,081,801,008,719,266,012,574,
161,879,007,901,867,050,162,586,706,224,406,489,860,529,500,865,661,615,721,
272,217,407,857,500,929,426,036,609,355,637,085,009,288,850,572,890,408,027,
086,623,767,485,054,908,625,051,864,994,959,680,285,549,411,887,800,328,036,
455,551,295,318,986,799,089,943,438,678,005,486,971,067,979,359,692,708,830,
698,453,915,410,362,060,929,946,377,961,105,454,167,733,452,333,370,974,680,
265,839,134,278,416,802,390,636,453,664,011,502,363,211,679,949,431,546,720,
725,804,849,948,599,147,252,345,818,801,094,761,525,601,119,820,123,720,011,
550,165,036,107,737,345,319,466,563,493,653,704,022,888,890,406,586,000,660,
959,892,780,185,801,747,539,130,732,110,018,042,601,163,303,543,446,046,172,
340,184,446,105,802,737,472,851,222,501,338,581,179,616,210,313,174,970,767,
989,404,570,370,465,028,428,870,766,190,049,729,851,486,224,208,177,637,642,
280,427,794,493,935,383,172,008,494,571,901,040,383,399,177,623,518,022,658,
510,438,702,674,776,779,607,772,135,434,631,505,950,579,566,510,302,629,278,
117,569,411,705,543,179,750,355,928,862,669,622,047,809,585,159,296,758,840,
066,475,802,502,366,875,279,849,887,605,467,369,566,767,523,326,929,800,857,
329,191,552,646,057,419,548,785,133,427,975,251,551,791,540,006,351,737,112,
722,489,712,729,108,933,441,326,450,220,334,411,812,195,574,913,563,520,547,
762,674,919,483,787,391,121,024,747,826,003,893,233,761,934,713,083,884,759,
389,235,745,901,967,796,773,271,758,030,704,385,088,176,685,559,441,769,824,
836,748,133,057,439,272,669,374,846,531,916,817,721,604,726,448,094,055,339,
069,598,756,493,378,988,773,834,255,439,580,482,176,031,671,064,599,698,932,
026,963,806,498,672,563,381,166,091,185,495,926,893,074,890,299,974,830,078,
830,697,258,869,795,937,183,282,116,927,959,370,928,435,263,281,248,252,559,
433,670,736,951,629,766,951,317,778,580,271,137,803,880,357,511,775,865,234,
054,450,635,865,970,748,453,115,693,281,701,753,547,907,467,409,938,590,048,
505,981,752,501,025,364,395,108,160,314,389,968,972,112,225,723,369,013,781,
939,471,460,686,817,583,320,904,532,230,016,291,533,827,771,488,949,718,499,
341,200,209,573,363,027,973,079,381,609,161,197,517,377,364,742,843,648,661,
985,434,457,578,914,735,606,165,196,015,945,661,082,496,312,330,526,730,765,
750,083,938,170,087,879,952,332,037,300,102,722,405,628,452,149,657,530,503,
204,997,787,934,157,169,152,890,599,205,927,209,505,999,701,561,470,808,815,
775,106,463,638,043,346,756,647,167,636,888,997,307,520,072,034,675,821,236,
405,320,882,394,806,590,567,887,539,185,684,805,050,557,365,424,550,045,407,
267,788,788,244,545,158,286,280,216,612,881,770,038,344,651,858,030,371,656,
281,802,151,766,846,457,082,998,940,122,724,870,249,599,192,923,258,063,886,
013,403,561,563,310,810,728,741,268,324,909,656,325,031,834,225,451,930,254,
545,079,951,951,955,675,473,602,532,690,498,629,421,459,540,288,412,233,080,
366,384,440,215,564,271,460,550,362,367,987,745,564,274,402,106,061,511,380,
888,706,583,417,684,685,412,989,713,937,458,617,061,044,148,482,996,352,876,
312,533,546,574,388,496,078,516,768,378,477,722,736,993,317,634,468,209,655,
710,686,327,149,220,925,205,087,425,935,309,629,650,696,414,280,967,670,464,
596,299,554,172,041,639,921,897,911,550,561,473,663,879,528,853,464,958,351,
082,091,086,642,727,264,973,245,050,225,252,085,017,454,390,188,673,463,789,
197,836,470,700,609,205,545,564,007,417,724,336,337,945,774,806,998,852,929,
095,129,087,443,641,684,576,154,800,199,215,703,223,033,791,180,527,334,070,
531,045,145,333,937,168,885,581,096,337,386,710,650,578,541,843,396,944,558,
217,109,117,474,992,793,648,234,596,610,254,815,005,272,969,948,880,494,191,
708,517,293,399,482,394,938,285,786,562,280,194,319,130,640,968,057,055,041,
422,553,222,413,053,578,073,761,749,898,401,303,696,052,154,719,614,485,203,
842,201,622,688,185,077,878,068,200,229,523,913,175,380,850,993,534,714,628,
700,976,636,634,313,690,540,509,823,621,331,510,790,121,037,752,555,347,256,
377,853,708,556,953,981,044,690,796,563,565,604,844,642,091,357,348,228,955,
377,216,017,300,138,758,215,892,704,183,339,096,944,587,770,008,622,551,936,
451,236,625,811,376,448,369,347,050,779,275,124,546,143,678,925,925,459,302,
379,714,857,592,521,876,306,127,260,122,102,176,518,732,958,374,668,509,428,
807,564,730,425,548,853,239,727,910,655,258,312,334,818,629,849,475,989,502,
684,442,747,771,691,470,942,747,705,438,232,174,028,641,253,172,724,379,645,
461,378,246,906,470,819,717,048,801,479,060,778,804,609,067,598,739,419,570,
945,593,818,432,058,252,630,430,865,257,173,833,155,172,105,761,356,388,340,
591,592,928,092,068,001,792,486,409,222,867,942,465,424,140,576,576,956,750,
758,363,484,826,414,378,163,270,284,480,612,823,445,142,157,624,551,711,999,
621,529,112,404,141,664,852,955,788,187,859,165,189,519,029,502,930,633,232,
643,226,091,918,697,069,019,382,297,692,580,077,177,829,945,963,489,487,124,
484,388,924,766,199,721,990,314,112,507,980,577,070,773,760,075,026,468,263,
754,729,188,111,431,424,876,911,366,217,110,833,569,865,924,625,154,098,513,
061,583,289,865,267,645,672,418,053,307,676,858,764,839,387,221,798,316,094,
113,600,061,739,483,310,163,251,101,194,804,304,400,584,789,764,396,080,572,
600,967,966,955,185,072,060,891,664,325,195,119,205,054,458,107,249,907,229,
261,961,780,901,993,411,244,659,786,931,088,412,526,671,208,035,571,825,845,
790,131,672,225,048,675,160,627,210,511,732,175,703,801,523,957,440,159,242,
180,045,401,141,664,138,773,285,632,319,756,750,121,926,177,784,206,584,006,
045,263,170,123,069,200,001,495,222,841,079,125,360,011,806,303,814,380,689,
904,556,819,696,411,091,164,389,072,699,828,243,998,130,287,517,574,695,962,
922,303,534,261,871,995,752,042,895,835,626,883,935,050,870,595,071,560,088,
508,302,406,564,215,566,360,021,818,075,527,469,653,264,398,994,739,255,803,
545,014,792,492,951,632,499,838,748,321,106,816,915,560,373,020,944,865,296,
911,018,553,098,277,646,941,120,035,918,363,768,775,626,248,569,561,280,619,
821,505,856,453,310,820,894,818,338,847,377,247,591,997,492,440,053,964,472,
505,869,423,332,146,838,778,972,097,145,255,966,413,406,790,047,835,150,952,
735,934,785,529,572,496,151,138,133,829,732,315,835,154,367,015,529,226,277,
145,685,385,696,407,484,237,790,333,355,640,493,819,559,621,282,074,023,732,
013,071,756,989,939,731,955,202,765,007,212,566,921,673,608,834,663,672,217,
188,400,727,842,474,190,182,079,681,816,276,300,538,753,430,982,732,645,652,
408,650,556,905,143,452,396,767,606,211,464,720,466,797,248,393,970,831,367,
244,486,510,876,004,744,903,255,793,694,401,560,827,180,004,111,179,470,129,
522,344,513,300,375,965,577,664,331,781,695,598,854,114,401,762,167,090,655,
192,338,480,625,409,365,532,264,213,885,009,660,728,276,190,974,549,730,540,
470,129,334,687,572,996,528,010,727,908,275,124,499,734,609,900,686,866,670,
809,076,429,528,701,692,150,770,925,966,506,909,683,182,337,213,186,151,859,
721,380,316,256,289,054,213,166,865,523,318,942,192,800,121,259,217,350,730,
767,224,742,686,312,238,273,716,253,028,929,812,556,334,557,526,978,474,395,
741,910,846,245,439,105,535,159,001,366,261,591,499,019,929,514,778,319,303,
672,180,955,922,676,469,147,587,968,982,332,146,871,153,137,925,319,125,662,
238,438,184,165,044,674,249,332,495,042,002,008,829,566,314,490,086,156,281,
279,092,147,329,835,760,600,743,404,063,253,180,038,775,474,245,762,582,806,
763,904,945,682,008,866,193,209,526,984,350,295,099,060,288,077,040,374,318,
637,288,078,930,913,726,610,389,469,617,846,468,029,146,497,832,416,796,885,
365,771,231,870,663,615,014,408,404,914,976,471,028,046,325,491,566,499,081,
695,655,057,842,251,719,670,134,451,408,802,241,716,173,655,364,431,849,467,
518,196,601,597,515,962,672,758,388,714,380,489,027,509,321,024,943,351,265,
967,056,477,033,944,854,425,112,926,125,470,039,470,766,650,261,925,464,659,
875,043,538,207,918,246,305,801,312,352,322,817,460,294,845,672,992,481,307,
700,877,072,471,199,532,766,392,860,902,576,208,689,512,928,316,616,634,352,
557,179,250,716,566,191,133,971,084,831,384,876,802,939,644,705,550,486,899,
746,617,812,095,281,752,534,056,982,611,708,974,992,264,005,544,113,630,568,
632,583,635,112,573,894,096,705,355,278,308,029,104,739,765,127,583,796,944,
493,653,695,597,211,658,220,299,422,131,559,865,863,258,242,363,855,511,490,
201,697,278,534,067,162,542,652,132,151,174,515,048,195,616,880,967,557,605,
218,018,137,458,706,590,708,693,666,608,604,423,247,502,919,066,774,446,689,
850,882,677,774,421,295,695,089,668,289,981,032,497,761,829,100,147,702,419,
081,101,287,177,483,777,029,490,954,181,092,697,822,920,161,725,111,666,931,
491,799,119,428,998,932,185,319,590,147,140,649,162,766,354,350,333,094,803,
717,520,602,577,495,826,968,283,617,942,440,641,795,353,732,640,111,708,741,
639,662,078,924,449,687,592,936,218,432,869,205,610,173,836,400,687,843,454,
881,961,845,873,134,106,114,998,665,067,404,924,709,870,116,186,872,666,231,
720,741,963,921,651,614,775,678,594,108,939,759,057,209,373,762,823,905,883,
037,229,511,088,735,362,509,269,394,545,650,467,264,235,402,300,611,980,068,
862,778,780,755,632,874,235,308,385,088,248,095,943,055,966,784,752,514,735,
777,164,028,944,479,575,406,152,792,363,372,600,334,742,260,652,208,730,972,
591,399,976,987,179,548,259,299,107,979,038,134,779,295,844,477,159,085,426,
047,234,704,248,971,333,661,862,989,492,065,864,772,334,598,768,763,964,871,
819,090,473,886,223,070,978,468,710,584,492,026,484,449,656,173,109,508,817,
706,372,318,252,457,200,221,665,405,512,974,398,159,311,084,465,864,146,028,
977,557,215,595,736,912,899,553,337,843,570,829,218,673,752,960,553,657,680,
249,954,134,184,643,607,544,270,202,891,944,865,600,142,674,054,157,491,937,
624,616,384,642,651,047,546,930,657,621,355,765,008,492,880,119,540,362,521,
722,521,431,034,933,731,314,880,476,971,454,902,998,700,909,320,660,371,154,
569,045,220,216,995,266,769,402,832,133,517,061,839,466,573,867,703,251,477,
446,578,001,880,045,272,926,849,210,373,185,109,269,717,404,423,094,281,302,
533,806,984,377,753,960,912,478,303,786,248,729,260,060,303,069,774,503,113,
489,827,667,725,539,498,622,955,916,048,663,836,011,172,876,855,480,394,034,
102,754,237,278,561,556,462,081,265,184,483,982,622,303,553,858,500,531,539,
206,493,692,700,378,646,181,193,333,472,635,872,341,760,819,111,097,241,356,
102,719,268,477,064,240,965,454,389,104,823,758,548,967,195,642,821,140,783,
195,349,923,743,980,666,719,540,516,935,218,841,946,747,195,125,294,485,551,
710,197,746,729,512,747,651,625,607,065,730,900,100,757,238,802,252,229,473,
340,977,478,788,811,530,522,166,224,406,613,025,526,529,020,419,268,604,026,
113,260,818,914,719,582,472,639,414,783,753,079,895,824,240,453,695,818,056,
009,452,218,391,825,021,983,219,581,252,234,557,078,298,577,278,923,451,088,
677,449,333,185,728,081,992,474,554,568,567,355,143,115,030,856,245,976,331,
880,105,214,029,483,073,478,205,941,281,777,755,458,842,317,660,609,260,181,
976,995,899,531,733,660,534,915,134,725,673,067,680,965,954,155,033,700,396,
042,153,623,746,544,325,965,946,949,026,117,131,151,947,335,283,706,280,667,
118,994,435,685,791,460,991,463,625,984,004,302,168,575,311,874,809,916,798,
100,224,119,029,053,959,775,379,379,040,430,910,175,396,093,375,429,638,722,
175,805,035,131,719,844,773,397,203,149,307,308,962,285,818,825,381,725,676,
086,034,049,759,757,442,626,549,638,103,792,932,556,387,335,142,132,715,449,
278,746,159,280,436,544,966,767,698,140,156,718,609,507,087,018,881,215,674,
004,720,807,142,290,868,464,844,513,464,907,304,343,604,232,208,362,293,094,
733,155,547,096,336,022,147,827,863,517,446,925,543,575,526,806,553,358,956,
736,571,170,663,573,381,261,413,796,345,296,744,090,736,229,792,525,660,764,
705,188,479,823,345,363,222,430,667,806,369,843,173,505,195,832,815,292,480,
177,421,580,227,292,833,511,424,777,007,218,084,808,007,653,194,996,502,356,
086,495,552,202,355,344,638,130,571,177,568,058,244,711,868,072,953,532,990,
530,352,471,830,331,157,848,630,641,871,644,964,942,854,622,447,545,730,384,
245,671,747,822,702,913,388,027,126,744,697,880,228,959,112,491,931,830,001,
930,163,232,184,736,302,224,165,407,294,523,009,467,289,266,070,560,979,193,
882,307,694,827,561,650,371,956,206,509,904,363,752,533,474,042,082,674,091,
610,649,972,398,127,092,352,198,687,387,642,231,506,697,006,970,502,669,495,
313,957,115,506,918,606,843,571,946,990,846,197,350,131,359,130,414,899,888,
261,379,889,966,914,163,266,101,687,395,367,110,504,388,309,720,714,269,387,
133,863,201,871,517,853,439,699,348,945,764,116,779,721,667,540,828,749,035,
167,241,704,683,611,780,147,542,960,437,182,325,029,819,165,262,017,011,867,
430,344,086,812,143,521,066,686,427,824,118,796,184,165,060,512,224,127,828,
717,974,238,225,766,698,981,810,728,836,059,670,505,522,998,637,514,173,354,
875,683,081,303,018,803,860,370,274,795,261,561,738,342,911,426,469,707,888,
446,082,912,203,794,652,166,923,520,916,278,551,315,130,786,470,287,529,173,
953,062,159,033,507,790,208,007,283,132,054,380,584,275,796,830,464,540,891,
905,239,354,839,182,494,999,378,724,092,932,453,014,670,125,332,784,127,647,
059,067,258,567,300,350,533,784,366,559,703,441,017,869,608,848,893,310,547,
837,821,639,810,940,404,893,386,504,414,293,261,705,225,596,380,754,515,859,
434,279,417,677,545,706,504,734,663,075,132,747,318,113,099,218,094,512,768,
580,515,999,258,788,024,220,616,490,210,468,602,022,600,785,033,939,811,390,
488,187,901,778,662,564,817,287,334,561,899,438,281,380,513,952,867,067,678,
232,805,660,686,965,346,529,095,792,442,284,273,788,225,818,993,726,474,762,
491,306,426,481,905,408,731,556,378,145,828,913,970,221,691,406,856,281,044,
830,368,977,355,379,864,045,062,121,463,109,138,616,032,161,241,394,483,457,
055,303,384,173,572,643,729,204,565,598,881,410,085,147,341,600,709,707,030,
176,003,824,928,637,337,218,673,233,760,729,265,314,976,493,487,190,768,942,
682,979,982,556,965,254,938,923,616,356,614,178,909,642,838,261,020,406,430,
724,621,884,678,132,017,859,389,348,363,547,853,311,332,505,486,039,592,367,
770,033,992,641,799,157,089,766,413,981,021,569,932,724,892,140,018,228,330,
148,805,027,005,829,919,449,180,132,912,405,643,631,654,814,223,444,247,062,
941,162,223,355,473,766,378,600,720,627,303,175,574,196,314,778,472,564,526,
434,875,088,712,945,791,915,807,548,579,340,070,465,038,516,054,747,661,168,
488,906,211,604,622,686,985,806,120,698,782,710,958,791,248,243,499,516,163,
009,495,562,026,720,061,272,354,735,497,563,353,127,835,857,505,978,625,355,
016,852,697,000,945,294,850,683,061,575,390,215,128,577,129,898,846,120,044,
667,794,770,801,237,890,437,249,590,182,916,907,045,427,562,067,790,094,702,
399,617,040,028,735,836,547,540,946,290,056,732,038,454,809,104,339,143,480,
551,668,071,907,042,382,702,788,870,709,321,801,536,107,579,551,604,955,152,
606,439,960,649,468,040,784,438,367,900,671,815,525,535,237,578,616,350,490,
356,739,928,220,650,432,479,993,612,770,590,452,758,454,830,098,223,066,844,
800,440,827,912,110,043,856,637,975,508,435,160,731,777,985,216,396,220,213,
695,199,184,057,841,404,909,155,356,570,050,413,279,760,087,134,939,180,828,
202,095,257,408,174,017,675,169,125,327,657,661,239,217,637,364,608,909,684,
578,522,587,434,705,846,167,030,936,987,351,134,098,412,392,870,391,286,730,
954,098,066,613,465,024,360,690,187,505,981,569,545,272,639,904,621,748,758,
762,740,843,486,280,457,889,337,710,411,561,672,061,891,310,784,483,517,239,
705,034,117,591,184,891,405,781,876,497,395,423,429,376,682,564,756,073,778,
367,265,328,308,907,799,315,426,394,422,208,838,741,635,523,086,831,157,894,
444,184,079,688,186,670,416,947,635,947,283,826,119,580,276,144,742,523,302,
144,109,365,319,241,443,650,610,559,867,510,502,954,547,887,083,924,249,110,
982,891,893,144,720,994,314,326,702,233,461,500,390,695,194,244,687,128,664,
316,958,038,688,432,379,792,523,752,122,339,049,348,493,080,321,659,419,014,
300,268,874,890,790,986,434,321,424,624,744,327,271,695,392,793,981,761,003,
835,631,804,486,633,804,656,793,135,671,647,632,455,355,639,904,970,747,272,
244,433,029,268,544,354,349,718,454,277,521,351,692,175,458,907,518,359,943,
499,982,087,705,228,179,953,550,481,721,730,332,933,335,424,127,684,201,772,
043,455,552,019,184,485,894,206,873,686,825,290,302,323,666,827,982,456,176,
910,626,074,416,326,783,087,197,628,492,969,366,587,438,367,363,413,598,134,
918,513,611,271,364,259,002,525,426,251,718,520,844,485,922,289,358,458,416,
618,902,923,013,980,261,212,714,272,999,130,348,383,288,433,837,999,909,622,
031,465,256,724,894,357,950,418,419,666,020,274,225,584,545,511,870,424,453,
193,747,427,470,994,420,047,739,611,214,514,449,402,753,929,472,791,417,631,
705,483,019,356,514,318,868,831,833,117,284,903,212,613,233,227,367,612,074,
689,978,482,986,199,455,483,890,080,817,936,714,933,595,586,230,400,397,490,
348,930,489,222,021,004,732,932,339,691,195,608,071,439,628,812,331,065,112,
945,100,444,703,190,851,176,276,684,882,611,112,432,924,544,408,002,628,838,
389,518,711,330,327,785,006,582,555,187,019,045,866,238,427,254,455,704,888,
872,876,024,791,542,754,465,373,254,581,136,493,591,284,739,712,419,350,477,
026,672,545,133,766,137,506,695,454,529,104,199,481,349,707,409,366,821,301,
865,270,913,607,944,366,689,046,297,347,799,970,341,375,433,127,691,969,152,
496,420,022,710,272,815,791,670,711,348,665,324,120,549,450,104,545,684,656,
702,633,712,082,942,619,053,951,838,675,880,489,521,613,464,314,250,680,048,
660,492,624,853,135,150,160,385,632,931,671,128,294,998,137,572,423,663,373,
349,906,011,320,998,737,949,298,577,456,447,041,308,596,828,680,764,839,504,
156,790,832,425,740,596,240,440,835,071,898,861,510,572,412,902,731,755,397,
152,893,798,527,563,759,953,676,292,254,282,001,422,518,650,072,020,728,618,
245,414,250,852,077,269,616,023,354,424,197,757,895,380,300,007,374,503,810,
985,994,950,983,616,502,018,227,830,289,981,226,880,910,980,044,752,344,455,
946,364,616,965,418,059,311,860,728,712,926,165,311,179,033,029,711,302,017,
744,406,069,895,604,693,180,889,456,066,788,537,994,269,201,891,859,180,715,
660,580,014,809,588,115,391,163,696,389,687,903,128,872,418,256,844,245,208,
022,975,387,687,488,860,273,764,412,349,861,028,665,254,958,575,642,428,571,
712,569,706,038,200,599,580,358,952,849,636,555,699,746,229,811,760,941,873,
029,558,317,082,443,701,326,081,717,009,329,988,457,375,822,578,623,055,052,
489,480,337,666,230,205,316,550,683,804,964,705,464,466,983,025,942,535,600,
947,679,808,448,148,705,265,009,732,265,299,292,609,492,252,230,394,904,899,
647,496,095,695,838,556,832,001,572,922,042,329,138,583,672,538,240,759,752,
287,345,090,214,190,045,004,810,647,971,013,875,654,097,272,023,483,575,615,
077,864,429,213,144,788,984,209,568,742,879,254,916,468,091,504,446,182,714,
728,430,191,001,727,753,789,987,324,640,947,760,174,380,007,514,897,130,541,
522,413,194,167,073,765,811,693,797,797,074,173,079,950,682,668,767,763,480,
586,774,018,596,869,227,778,876,947,085,335,218,375,047,572,414,985,418,004,
451,869,252,411,875,645,362,825,019,890,591,405,519,254,634,101,979,439,401,
511,695,422,114,340,086,879,747,664,984,891,324,607,958,043,234,566,979,236,
861,841,454,024,606,931,906,150,364,298,413,093,371,727,667,536,252,440,812,
205,593,844,318,500,582,654,573,901,834,049,095,967,990,085,489,817,350,809,
633,628,412,489,836,140,594,771,649,122,026,697,630,669,243,163,863,174,436,
000,427,522,373,807,529,557,259,461,223,416,929,073,188,696,573,457,565,349,
058,288,418,613,562,453,639,119,460,101,429,734,841,873,150,993,909,490,749,
135,347,774,619,150,337,314,002,965,638,316,542,015,814,782,650,688,675,167,
388,545,539,371,722,512,862,321,825,012,737,032,597,367,033,017,708,330,280,
526,600,455,621,357,660,728,980,728,192,825,209,984,585,542,698,013,180,342,
505,706,027,932,188,697,447,815,150,743,229,698,792,160,387,559,413,437,608,
378,624,362,975,143,483,667,378,032,742,623,716,461,675,813,680,022,008,647,
278,976,745,570,454,491,315,270,807,753,361,606,531,060,567,523,799,054,787,
886,404,583,990,959,263,235,731,547,419,109,755,254,439,675,077,402,469,741,
053,959,800,154,261,373,154,170,835,690,775,090,533,040,872,593,122,387,910,
988,453,579,722,831,968,757,429,704,303,331,218,479,979,803,979,562,662,918,
964,553,444,072,039,686,722,822,942,364,931,764,449,082,422,362,330,024,112,
809,970,449,078,557,489,506,652,375,623,678,084,990,394,774,779,267,134,136,
172,305,716,971,013,711,101,681,011,736,274,395,977,976,939,291,859,716,220,
217,184,528,885,375,611,653,842,690,210,038,098,123,378,239,345,494,572,443,
504,628,184,122,130,698,298,879,625,935,635,388,361,002,609,614,482,604,211,
634,806,599,732,114,877,073,209,296,067,333,129,661,096,726,243,976,221,039,
270,087,057,783,569,091,136,999,537,299,153,699,435,229,223,518,469,800,649,
807,247,890,607,527,693,992,044,727,600,386,828,656,155,816,011,431,911,703,
248,547,311,956,112,054,693,470,569,328,932,440,557,200,628,117,219,552,315,
483,559,598,412,781,553,355,560,039,677,156,393,230,081,215,777,922,954,282,
169,381,913,933,930,168,148,248,822,445,143,209,302,432,230,610,849,791,898,
955,711,344,833,332,721,554,374,759,111,414,617,513,793,357,326,447,914,977,
469,442,869,972,120,939,067,698,063,645,497,562,380,973,667,042,963,192,165,
400,952,220,642,128,104,805,262,683,713,865,258,669,820,812,152,296,974,382,
567,163,656,657,554,042,643,747,689,263,321,689,132,181,848,875,162,666,088,
068,958,706,062,016,409,518,258,205,220,863,116,034,550,296,235,060,224,509,
458,836,340,110,427,856,104,932,863,925,064,803,182,035,181,939,505,574,358,
878,369,820,566,683,593,723,956,458,207,201,330,187,735,381,670,347,099,722,
003,496,908,459,384,290,197,491,109,901,584,051,586,173,795,742,686,019,086,
486,161,098,509,518,507,565,238,762,518,452,196,828,100,761,422,988,789,386,
346,533,431,207,686,933,864,749,157,053,379,359,127,479,957,135,039,335,228,
245,935,442,061,576,349,160,806,867,976,220,937,309,848,931,011,581,579,644,
344,875,065,842,135,148,814,105,336,764,719,273,675,317,175,809,909,890,567,
354,607,396,890,254,918,207,229,654,354,706,474,488,531,948,536,969,837,838,
123,937,702,399,403,108,871,415,283,264,183,460,668,740,547,121,665,593,289,
429,681,327,673,108,135,881,589,783,540,480,854,622,411,429,113,119,524,014,
661,923,201,066,686,505,018,990,301,707,544,185,433,592,291,707,430,677,946,
719,146,486,260,209,502,206,113,037,122,668,930,565,539,596,113,503,217,950,
178,690,951,698,850,909,139,644,984,848,827,836,851,499,311,790,920,638,177,
602,070,378,318,411,301,569,943,814,075,725,030,617,081,009,741,581,321,900,
448,458,076,574,745,521,012,411,791,855,311,887,606,800,556,921,209,029,313,
743,826,471,981,898,488,621,568,045,099,099,763,124,140,136,960,110,348,625,
887,411,303,120,497,374,513,787,546,611,082,660,366,893,136,114,252,258,094,
873,564,620,667,024,631,353,561,858,365,305,727,300,042,879,550,090,055,532,
792,105,172,656,890,585,101,531,677,744,148,088,497,748,500,176,697,496,016,
445,707,716,753,574,880,291,081,184,884,641,636,450,832,392,977,149,608,985,
028,331,426,704,222,100,156,767,471,012,444,277,734,286,535,073,505,547,870,
411,240,260,525,218,978,157,644,479,806,674,865,401,998,205,147,613,318,381,
180,367,023,699,675,943,859,361,261,531,916,524,419,344,094,478,077,728,518,
506,736,414,173,587,651,868,325,804,431,523,114,283,039,966,168,999,815,790,
384,270,254,427,162,349,783,402,756,555,768,413,803,096,501,021,054,727,915,
975,582,507,903,667,362,949,446,689,222,071,141,343,428,508,896,597,210,047,
101,700,003,938,892,387,200,685,526,938,892,693,122,067,045,532,426,282,373,
753,028,565,447,944,931,958,214,865,753,605,815,391,130,050,908,578,781,240,
312,319,944,360,173,292,042,411,944,589,083,341,835,399,304,611,520,260,983,
905,902,603,869,974,358,248,750,667,895,680,406,716,380,581,037,062,929,803,
600,604,652,357,702,373,244,631,117,063,459,288,056,815,614,378,615,944,738,
986,558,257,496,804,086,924,189,769,835,171,256,931,508,096,903,356,169,440,
019,083,950,503,539,543,024,510,062,608,315,131,843,748,965,450,892,935,713,
077,784,088,896,995,379,803,658,215,200,785,098,936,218,959,147,142,777,811,
328,281,102,646,397,294,250,275,254,506,228,864,846,639,922,918,976,389,340,
036,732,419,971,432,278,747,487,744,562,151,511,034,565,193,033,907,934,990,
156,286,436,572,226,662,714,170,237,426,712,713,360,125,026,214,430,242,837,
859,458,426,955,584,054,171,605,205,644,758,315,399,203,163,852,079,291,261,
544,155,869,380,328,029,508,411,405,323,561,003,981,756,017,668,864,516,523,
688,091,750,149,613,698,033,896,933,934,841,565,248,553,667,648,901,094,263,
842,144,010,327,074,871,209,855,223,788,143,609,897,679,072,531,506,983,512,
168,318,275,204,490,129,815,311,497,499,516,141,950,537,786,190,963,046,485,
727,470,487,536,330,137,422,170,916,274,933,535,766,082,086,657,925,910,433,
358,394,053,856,542,260,277,773,275,292,090,846,748,959,411,220,637,602,858,
626,292,789,109,398,607,049,288,924,739,952,184,327,035,726,269,069,058,144,
268,106,954,280,061,929,771,280,104,249,874,651,571,453,782,786,706,335,765,
202,782,865,082,657,889,641,366,675,967,843,308,170,450,699,058,100,306,248,
697,033,115,349,723,601,211,732,662,078,846,487,390,984,811,515,801,315,406,
867,161,857,754,356,151,023,070,873,736,126,043,591,834,437,753,431,101,264,
681,315,389,181,988,105,304,166,807,920,506,093,944,576,004,049,880,311,127,
998,217,615,386,152,934,639,313,741,095,824,047,757,481,127,467,935,058,397,
176,247,304,891,874,542,877,119,823,410,248,656,819,559,672,589,934,916,451,
059,329,079,078,332,755,642,010,423,177,746,357,431,302,163,923,640,805,078,
102,674,824,765,462,989,446,311,156,417,982,314,933,295,942,441,388,098,459,
488,551,630,069,963,251,481,570,409,452,419,700,418,257,519,262,338,400,743,
363,953,985,133,433,095,690,728,263,450,688,121,999,450,208,831,313,080,198,
484,998,505,087,289,700,844,676,518,776,245,767,157,895,056,538,709,725,411,
622,528,862,973,737,826,771,270,595,465,404,191,780,490,920,827,410,945,609,
967,900,366,730,612,544,668,030,857,972,759,729,992,895,974,015,767,716,375,
916,431,801,258,224,985,707,081,682,667,441,226,875,525,696,070,153,425,200,
817,569,856,040,382,048,669,935,074,445,226,433,392,126,845,222,606,688,827,
946,233,999,126,414,022,598,039,586,075,406,964,896,924,484,596,767,105,673,
069,849,927,874,980,506,410,001,065,812,209,104,610,662,297,118,546,487,682,
520,942,200,577,512,314,366,266,021,624,848,417,647,212,668,763,648,970,980,
839,447,253,748,755,651,622,003,473,169,827,790,787,826,405,604,747,097,371,
054,618,333,788,578,031,472,938,191,398,180,685,086,109,030,478,766,145,417,
718,381,859,166,593,483,298,331,918,888,107,974,779,178,982,652,396,513,933,
596,605,635,531,356,415,929,716,798,918,532,021,976,330,273,874,305,492,038,
884,876,597,929,742,130,983,682,030,131,422,455,521,201,748,823,177,812,242,
014,303,859,238,303,355,803,315,721,385,738,653,567,638,417,568,096,031,643,
485,611,705,560,773,374,142,021,933,238,788,760,120,730,349,343,677,927,750,
977,493,948,716,489,492,829,514,633,070,679,806,852,622,242,820,089,395,274,
692,342,944,702,552,043,666,147,549,595,936,904,809,051,719,327,085,562,391,
532,146,834,553,359,653,676,340,678,261,040,762,500,982,919,938,845,319,637,
999,299,486,758,833,628,009,227,616,447,953,977,260,724,888,978,166,831,780,
918,702,407,444,160,841,104,382,243,956,678,049,969,040,411,034,955,891,014,
635,939,699,773,617,747,559,961,929,584,943,091,292,156,516,209,503,716,932,
693,981,659,539,938,476,918,571,773,481,944,984,121,106,004,050,228,068,364,
758,852,129,621,179,147,406,084,417,699,073,922,711,134,635,150,764,136,270,
506,089,195,155,507,034,285,811,441,971,090,211,737,746,082,242,122,209,323,
368,912,810,531,718,351,841,402,753,840,209,053,364,065,073,960,161,870,965,
644,812,953,761,682,247,885,890,568,686,132,707,906,203,577,692,778,974,832,
509,346,756,718,110,502,439,734,853,370,026,516,630,500,327,864,467,851,048,
170,200,897,847,566,260,538,285,905,556,185,736,784,641,769,178,738,992,065,
054,674,095,717,634,408,932,540,709,603,680,774,096,789,012,414,777,685,122,
711,195,980,281,274,846,468,974,291,872,896,392,180,327,877,007,256,911,284,
772,686,684,465,333,966,979,496,349,421,845,481,532,125,353,495,142,052,714,
845,454,717,714,821,253,347,359,713,024,068,370,868,428,760,011,476,346,957,
385,844,522,122,200,809,524,184,828,632,129,374,867,498,291,954,099,862,501,
109,466,064,110,598,835,192,625,661,989,291,901,529,813,939,185,960,198,020,
901,608,481,367,972,959,947,299,691,744,892,949,739,336,674,021,597,756,686,
428,084,640,833,976,015,380,932,341,028,609,457,280,774,285,454,842,163,770,
936,701,196,685,023,450,277,894,419,290,921,331,712,038,638,033,499,988,647,
371,310,832,254,642,876,953,357,363,556,513,748,760,658,142,853,509,437,368,
129,837,629,294,159,140,375,234,464,155,975,057,373,284,223,620,635,454,721,
974,951,982,803,688,579,340,521,539,176,078,911,580,109,200,839,342,769,513,
768,092,018,655,096,394,466,826,877,999,170,351,632,377,655,109,347,963,341,
444,251,897,350,011,277,861,123,735,799,625,742,025,571,047,684,717,300,273,
821,804,956,495,950,962,448,043,304,348,343,607,676,881,239,048,420,682,356,
450,661,634,300,084,945,662,425,819,574,576,066,363,354,165,536,336,440,851,
871,347,981,407,063,078,119,458,882,911,599,069,401,971,611,075,143,775,705,
976,749,991,781,712,954,380,094,202,395,889,515,870,305,050,623,223,119,251,
700,243,807,796,132,845,202,488,247,063,134,275,929,723,680,440,274,979,156,
051,585,904,632,796,632,654,186,623,089,630,603,992,246,499,303,262,334,364,
879,757,568,102,724,579,182,618,961,684,570,864,113,579,989,103,573,049,081,
273,427,084,170,432,102,122,594,165,435,502,761,660,384,441,175,879,392,755,
037,415,736,604,997,537,833,993,335,389,158,981,621,964,778,767,944,862,701,
205,107,045,565,587,637,521,132,101,742,443,381,425,927,100,974,887,543,341,
268,960,322,062,859,165,192,670,332,590,583,000,200,469,978,175,369,429,433,
017,389,903,443,040,919,254,383,178,146,475,367,723,402,505,054,232,884,444,
193,624,220,924,418,688,759,240,799,072,285,466,022,853,207,062,707,250,205,
636,190,554,457,383,282,524,538,274,742,686,832,500,054,412,246,604,890,092,
060,590,416,074,339,065,416,791,143,229,583,318,710,433,320,579,815,248,048,
331,890,815,788,083,823,635,059,546,902,686,346,798,729,125,384,998,437,356,
217,736,096,139,159,381,780,743,727,607,161,189,563,288,110,631,441,932,035,
096,383,743,868,539,699,064,675,040,795,966,910,564,013,585,996,834,815,190,
252,660,396,480,143,311,894,645,814,678,406,703,365,128,251,078,260,597,223,
736,479,043,772,251,135,809,636,355,673,994,997,310,218,551,387,176,835,562,
239,819,320,871,661,674,681,708,061,195,331,819,721,730,789,933,268,190,173,
864,480,161,866,276,878,192,097,718,477,026,979,548,829,542,410,480,971,686,
107,572,016,717,976,501,976,802,522,343,441,501,951,687,313,228,758,202,184,
258,558,025,553,914,754,834,382,452,018,275,130,399,551,443,648,626,085,373,
277,074,121,776,709,750,711,080,629,757,041,953,391,619,529,681,864,639,818,
119,935,235,881,302,213,113,459,016,606,565,264,527,199,783,593,375,647,421,
497,707,674,729,067,641,423,617,288,303,224,600,830,246,876,526,292,772,230,
389,368,863,094,365,774,450,973,594,493,049,010,082,538,070,111,578,051,201,
631,117,491,322,675,672,960,862,601,944,290,651,005,896,711,521,644,950,346,
051,915,299,027,094,219,484,866,259,338,340,975,987,417,057,462,834,553,077,
741,414,092,351,622,017,165,405,426,979,132,430,926,069,552,390,474,747,175,
236,756,750,865,917,800,765,636,285,081,472,595,330,635,670,636,983,021,228,
802,854,965,903,015,359,148,048,001,526,058,415,877,397,109,509,834,643,181,
777,678,579,042,157,171,094,551,704,752,574,063,362,587,422,883,771,620,765,
164,176,717,938,325,674,098,171,210,646,489,507,882,961,666,394,973,748,202,
835,273,769,129,468,329,761,710,540,763,599,948,253,602,680,620,561,919,076,
256,894,472,429,006,078,738,919,729,586,512,051,391,397,550,149,511,026,401,
100,202,318,694,522,665,436,888,053,417,160,003,962,722,720,687,900,496,463,
784,291,458,172,294,490,952,482,266,012,411,468,575,984,801,504,498,681,562,
457,123,568,696,646,319,335,887,690,286,473,279,760,882,713,188,534,700,079,
521,407,323,749,176,938,504,076,937,027,726,350,110,223,508,878,175,261,715,
281,646,546,443,338,502,378,467,159,615,169,692,203,595,893,115,324,066,567,
923,517,008,434,647,768,284,628,653,194,462,826,213,060,468,644,865,373,088,
996,066,760,315,216,587,289,841,674,992,779,019,872,658,350,283,292,404,477,
508,666,425,687,190,659,919,247,813,461,223,225,032,418,748,217,809,789,927,
909,803,165,370,135,838,318,373,551,059,568,247,000,402,155,580,153,551,659,
778,238,392,234,714,542,859,547,838,678,732,444,278,142,699,659,484,568,463,
884,181,719,885,192,648,647,425,183,966,944,734,309,135,332,057,403,488,070,
468,247,975,187,633,247,913,964,467,620,221,578,358,476,755,460,220,557,317,
173,254,420,374,895,160,036,074,919,346,713,124,407,799,266,522,162,163,584,
599,147,701,322,940,534,996,262,161,225,836,875,276,450,379,296,169,953,348,
889,548,491,663,049,115,150,025,557,778,471,357,852,594,256,114,812,640,697,
395,320,662,231,691,178,908,865,543,781,582,432,651,137,806,341,749,724,240,
998,822,864,025,598,955,361,442,176,075,584,054,224,687,519,893,032,170,446,
464,214,426,413,060,013,205,046,648,226,574,440,092,701,620,547,020,243,245,
626,674,304,719,723,452,473,739,985,786,675,207,308,038,510,326,757,758,046,
374,328,657,218,217,788,920,625,505,858,486,260,603,538,115,917,616,752,604,
676,774,375,529,008,486,696,635,960,790,987,093,673,558,818,516,629,138,106,
977,921,571,572,159,191,946,860,750,177,609,574,752,664,913,776,007,048,983,
904,926,484,846,285,968,104,988,272,870,597,171,674,560,133,860,656,875,892,
666,224,936,714,104,015,454,364,293,154,652,844,898,057,529,710,723,873,274,
901,547,046,225,155,625,616,509,762,808,518,026,618,787,093,501,838,291,015,
383,643,240,956,570,160,869,557,563,677,024,198,070,406,443,773,675,185,691,
355,180,364,608,259,338,532,259,304,637,926,689,658,552,392,389,929,651,220,
205,577,259,065,643,564,903,764,226,754,406,763,499,505,877,735,806,061,271,
193,041,141,082,623,054,095,422,821,244,811,375,559,331,651,915,604,527,072,
119,927,694,123,782,724,873,908,578,853,629,630,719,933,254,384,505,839,476,
209,712,498,812,711,556,664,618,209,526,302,069,777,944,960,843,223,985,442,
367,460,527,065,053,581,106,826,898,201,639,777,913,602,753,293,897,843,807,
393,657,738,827,403,896,552,507,610,061,740,487,446,417,524,229,759,918,981,
084,720,948,902,807,076,795,579,452,406,126,957,681,102,481,443,282,693,945,
463,101,826,490,066,379,024,090,738,954,663,939,418,491,395,948,634,277,018,
966,708,925,096,805,079,850,947,106,154,010,803,583,424,011,174,673,224,101,
851,953,315,281,012,642,402,529,136,222,078,647,257,104,073,142,149,974,336,
901,306,386,726,551,409,407,344,178,113,184,559,479,971,671,707,449,463,291,
983,338,155,569,814,173,558,835,319,745,026,502,046,530,207,370,530,668,640,
303,902,150,002,433,189,440,388,639,135,289,234,289,097,004,710,572,319,372,
806,112,705,735,094,184,280,902,102,274,462,010,071,354,004,427,464,746,518,
227,851,761,786,089,427,409,323,000,077,821,145,877,493,023,627,260,574,722,
610,199,153,402,809,822,828,225,703,350,332,074,191,645,924,188,730,976,622,
740,594,884,053,247,201,763,406,708,891,372,621,010,648,651,156,193,170,856,
007,518,875,801,832,747,573,634,818,139,657,693,639,686,036,186,571,415,510,
704,950,878,866,535,569,054,665,892,587,659,085,772,118,536,609,671,447,356,
320,921,516,999,319,825,141,229,615,699,599,931,983,867,185,006,847,101,473,
413,194,171,641,643,785,544,454,633,348,869,291,233,595,616,102,011,910,900,
181,638,361,232,722,975,437,886,393,865,164,358,711,469,676,504,218,444,504,
293,879,078,941,681,468,398,350,811,156,414,146,780,092,236,318,310,442,149,
104,064,211,565,405,553,907,843,621,754,059,152,391,549,457,914,822,940,390,
340,449,371,615,690,079,364,537,957,535,499,570,522,972,523,623,488,041,877,
547,280,009,575,221,600,612,192,864,503,468,922,876,291,915,557,083,939,901,
351,676,877,396,327,151,868,683,663,760,471,351,306,459,029,196,534,178,405,
512,420,021,054,151,775,742,753,138,685,737,170,465,095,795,644,104,596,798,
993,351,489,064,751,163,423,908,272,182,757,636,489,240,330,650,961,480,983,
148,698,625,544,531,230,714,853,305,275,193,441,530,570,650,631,573,790,039,
533,399,032,432,385,145,714,529,350,546,199,392,419,183,187,156,484,677,770,
791,230,926,434,994,246,630,268,454,407,448,081,326,671,955,248,507,142,214,
562,714,718,443,608,809,899,512,793,515,504,882,767,969,054,488,816,001,100,
360,824,141,032,347,110,239,872,247,456,169,021,419,070,981,357,111,616,282,
474,533,281,493,384,726,574,780,004,930,914,796,823,511,547,407,500,547,078,
367,482,813,873,668,233,027,575,496,944,219,904,091,036,734,802,028,665,830,
869,934,215,103,841,530,413,655,151,577,715,576,153,604,644,266,070,707,293,
056,813,755,609,753,648,296,568,765,996,134,862,743,580,599,120,496,835,289,
459,192,696,444,370,059,376,869,884,249,032,939,541,300,696,281,965,914,807,
796,075,240,594,007,539,357,153,620,685,994,930,220,221,757,847,142,239,295,
171,239,047,558,787,167,533,083,611,585,606,238,372,041,777,996,551,538,141,
244,963,254,892,807,177,171,451,567,250,008,172,077,035,467,302,165,514,483,
275,330,104,977,927,408,126,050,535,155,337,499,796,789,156,394,463,847,250,
817,261,690,503,222,838,968,992,718,559,861,378,931,650,214,536,000,991,352,
465,695,824,927,476,958,498,411,850,615,278,323,236,153,264,540,258,255,704,
529,737,624,287,725,455,959,218,985,782,201,552,292,310,258,028,128,566,755,
086,970,831,264,198,431,592,260,416,459,751,952,352,236,615,050,246,701,726,
283,030,743,640,085,633,176,784,253,858,760,709,239,158,574,604,736,850,587,
795,852,434,906,084,607,659,272,068,476,660,887,247,397,859,795,578,144,247,
934,318,917,459,319,828,059,140,555,932,805,829,953,395,739,720,586,848,881,
615,355,875,266,178,761,435,460,042,668,431,751,024,574,960,981,149,127,000,
750,707,837,754,545,386,238,278,287,347,723,017,442,089,024,388,481,949,988,
145,606,845,644,057,312,984,328,969,164,041,607,607,626,244,920,772,160,044,
430,247,123,508,659,086,631,995,799,605,519,780,938,121,962,703,102,018,994,
772,526,759,892,490,989,824,407,757,575,922,748,113,055,682,953,741,208,292,
044,795,337,143,783,294,035,561,353,901,713,567,505,108,102,415,485,337,982,
948,863,831,830,809,555,326,599,567,484,907,691,304,573,470,445,617,135,943,
122,955,883,187,312,753,140,371,832,480,330,872,888,486,956,369,240,190,437,
445,182,675,377,910,807,953,310,659,364,415,720,232,815,558,297,061,540,365,
642,476,692,581,421,056,638,949,058,300,134,702,430,235,883,975,934,843,857,
311,131,629,855,559,725,783,111,370,531,165,735,760,422,474,535,073,617,067,
170,511,702,400,808,160,692,924,368,233,980,596,198,491,205,981,894,581,460,
975,182,477,846,072,827,488,914,911,007,320,869,865,481,225,902,669,263,376,
847,856,101,180,083,207,030,049,089,763,499,839,468,701,235,165,193,813,629,
775,459,195,994,893,367,405,000,741,709,989,256,791,451,445,135,423,729,387,
510,315,988,067,524,824,593,211,343,259,981,633,022,760,066,043,144,860,714,
613,085,444,421,318,737,029,189,075,080,696,544,572,961,815,749,270,881,036,
196,402,863,398,747,739,494,415,664,285,581,366,741,564,106,794,079,725,450,
813,116,410,973,888,944,277,549,336,684,650,993,921,781,994,706,502,428,887,
778,078,208,371,537,596,546,952,227,017,991,675,967,564,667,184,891,340,151,
198,286,963,153,096,593,316,529,748,976,871,595,830,591,559,282,211,874,707,
039,367,713,801,069,416,335,693,458,704,837,830,528,600,887,803,406,578,772,
123,276,529,354,358,192,797,564,880,729,496,875,253,790,979,550,285,631,801,
973,363,353,180,673,048,723,932,804,527,555,357,009,284,969,120,891,477,268,
936,199,707,794,253,485,672,387,561,370,504,408,137,215,268,052,897,016,754,
644,194,434,088,101,632,465,479,757,991,508,108,674,092,336,389,768,635,456,
867,817,241,374,134,799,660,401,536,749,205,210,292,997,214,661,685,148,997,
415,283,358,624,027,687,449,779,718,274,957,456,144,657,728,543,706,265,202,
799,938,822,293,520,982,310,213,578,814,903,529,071,576,537,419,460,273,709,
648,562,339,383,602,718,333,366,585,791,003,802,749,054,699,652,510,749,842,
381,124,337,679,076,063,933,656,749,013,978,192,509,115,497,390,000,299,647,
670,305,221,362,224,099,913,903,227,370,495,058,300,574,587,989,042,747,576,
357,836,160,387,434,440,865,666,666,310,370,587,960,510,199,158,406,316,882,
135,066,944,427,427,299,507,582,583,663,109,465,286,864,049,579,997,108,952,
298,076,115,958,213,423,069,613,228,786,010,234,288,987,458,779,001,229,107,
297,991,416,415,428,627,989,593,597,818,942,708,711,598,921,515,876,605,720,
747,235,310,338,647,870,520,486,010,813,382,112,341,224,349,870,390,486,441,
460,848,689,917,567,088,623,849,209,159,399,461,207,825,247,130,861,823,035,
603,574,879,988,494,146,564,094,210,797,272,478,502,680,279,516,780,685,065,
402,257,723,066,090,128,653,747,056,321,282,735,337,047,109,290,436,596,299,
154,797,700,770,763,100,953,974,498,125,285,435,463,204,459,713,301,279,603,
239,719,024,167,578,833,589,840,211,419,013,717,890,392,781,740,834,909,273,
049,210,052,644,014,342,481,755,994,459,299,929,240,755,615,404,000,867,999,
674,507,774,786,244,649,639,388,843,638,119,362,046,921,993,816,439,044,859,
004,829,954,465,057,542,501,718,428,019,860,566,563,690,583,007,993,326,513,
936,859,795,894,648,720,513,866,483,498,973,307,677,241,480,379,158,518,102,
203,956,308,386,516,238,883,749,900,206,763,079,454,558,253,763,491,779,562,
831,696,947,976,954,774,841,750,291,846,613,047,543,310,187,208,355,200,405,
095,341,823,629,889,571,338,182,126,875,042,756,457,669,085,310,037,648,331,
265,744,015,447,941,432,479,365,042,292,233,659,330,174,422,915,901,063,256,
563,290,721,938,107,460,040,489,471,418,549,683,624,133,976,867,945,925,214,
688,071,511,301,116,676,326,778,134,266,754,047,601,881,046,705,784,787,947,
103,753,302,271,481,779,713,265,497,315,474,605,359,125,021,292,666,414,499,
039,697,933,183,400,022,570,962,636,336,482,092,384,133,853,605,386,238,294,
432,603,899,464,777,927,622,836,526,826,456,164,592,859,575,629,884,459,000,
527,804,679,222,181,406,887,469,818,774,593,986,590,712,954,876,934,455,780,
715,648,673,006,144,214,154,622,629,764,227,517,096,074,587,319,049,156,870,
219,656,514,888,840,708,937,168,256,373,940,726,719,683,447,100,950,856,767,
953,238,833,198,296,285,077,817,098,271,406,636,015,671,901,613,633,801,753,
562,223,485,250,818,227,984,998,820,488,370,943,318,392,143,255,588,811,064,
380,765,602,428,480,477,440,168,125,001,383,948,729,421,166,492,820,349,978,
594,189,862,822,344,601,874,288,715,785,071,249,422,326,362,013,931,029,544,
962,521,549,577,252,558,066,454,514,836,106,580,488,427,365,024,500,070,111,
522,712,775,516,313,759,700,839,611,317,844,473,985,058,782,373,546,535,451,
924,491,512,681,637,870,651,171,665,526,180,626,284,343,564,284,800,187,271,
679,764,428,081,336,687,521,339,758,446,022,768,206,290,288,039,825,444,002,
156,408,318,129,334,282,999,384,380,954,007,048,748,143,212,101,965,125,279,
502,555,776,419,661,077,349,413,138,659,205,099,499,653,411,729,968,155,164,
865,577,582,181,598,340,314,156,437,730,778,722,156,742,125,994,205,645,417,
364,516,444,975,326,406,397,046,537,030,327,304,349,722,406,108,068,921,382,
421,819,532,979,620,791,390,149,846,799,323,505,323,917,088,442,502,188,406,
760,508,973,258,413,946,228,812,683,678,945,261,704,127,912,292,903,475,425,
538,157,695,128,326,976,835,254,663,550,776,314,001,824,565,869,742,479,194,
828,603,592,009,991,231,502,658,487,206,134,477,517,766,850,980,474,545,729,
083,253,145,181,211,274,480,911,435,078,302,894,688,350,265,028,093,748,341,
351,342,562,621,854,835,044,365,802,029,119,236,751,067,347,705,036,191,140,
854,183,855,230,343,491,674,344,818,950,038,209,393,486,263,115,631,065,355,
866,302,167,490,795,959,856,541,556,773,702,176,453,021,461,226,893,728,876,
595,294,466,329,545,525,837,848,887,308,875,668,994,119,493,120,581,422,947,
629,411,736,489,927,475,673,262,464,801,573,641,224,284,289,024,115,358,037,
692,834,252,338,079,547,556,442,180,240,834,746,034,589,992,653,793,522,310,
905,329,342,008,151,883,463,258,814,224,735,804,011,169,686,138,676,985,115,
304,753,845,609,342,441,310,436,744,512,659,667,195,578,327,745,603,080,934,
028,883,561,387,734,640,967,868,322,900,931,084,139,682,953,709,143,229,007,
301,579,550,466,848,723,292,273,187,674,501,202,747,408,780,404,601,247,277,
805,290,308,328,678,551,540,107,572,083,960,611,321,067,924,861,723,517,645,
649,533,499,558,407,590,585,606,831,131,492,080,636,860,535,958,747,528,288,
230,441,903,840,838,118,462,352,381,489,663,423,505,332,633,820,241,223,040,
662,692,548,280,268,496,710,054,031,276,128,024,867,691,626,901,929,981,832,
384,452,193,583,720,489,337,624,979,659,675,424,076,664,122,695,359,673,177,
165,841,343,105,632,514,548,206,969,687,029,373,516,285,360,540,952,655,080,
978,826,791,183,225,759,243,215,274,015,217,699,277,081,779,716,856,450,423,
261,022,781,607,074,422,739,185,816,280,774,853,215,941,551,091,313,394,028,
785,865,592,840,620,869,927,007,734,278,727,249,697,901,348,027,590,427,924,
323,861,843,071,405,676,422,825,120,552,046,392,734,753,137,083,434,343,085,
671,911,708,036,389,763,948,484,602,362,955,456,094,902,283,434,948,533,433,
282,024,755,312,670,286,616,320,912,957,509,319,879,735,505,077,886,153,533,
923,175,191,659,251,014,426,640,396,793,099,547,317,883,239,058,301,722,198,
400,097,918,494,913,018,214,017,797,515,968,308,293,442,443,676,699,472,128,
869,288,431,231,754,310,578,334,528,200,743,405,359,370,179,755,964,545,968,
691,722,917,454,859,842,499,237,407,736,665,587,552,284,466,839,905,967,762,
304,128,260,186,164,351,845,563,461,726,055,353,270,025,512,874,508,516,910,
856,555,493,171,767,368,708,462,275,250,264,915,130,272,874,476,106,734,670,
372,376,223,933,528,679,651,740,049,937,237,562,354,957,865,943,542,665,206,
626,807,675,789,443,770,819,533,756,771,720,857,044,678,611,138,286,707,392,
676,521,333,225,854,079,901,144,196,189,930,377,998,848,769,174,891,224,715,
578,760,736,801,472,273,222,876,350,678,524,627,603,058,215,243,682,107,405,
127,908,512,266,033,234,228,843,979,022,910,577,268,963,478,329,551,363,882,
716,357,316,274,643,215,708,128,085,784,215,645,925,231,997,903,138,783,345,
192,519,015,842,531,844,953,590,931,055,269,495,867,663,460,759,976,751,128,
060,787,155,416,094,009,601,598,272,491,188,845,518,366,776,686,713,301,563,
620,199,528,301,509,839,164,073,040,509,420,320,728,164,768,099,282,509,145,
922,292,891,444,206,754,266,412,200,439,901,911,849,513,481,251,929,863,989,
912,143,615,746,180,279,292,472,164,301,309,497,485,093,102,568,146,864,563,
408,081,139,335,890,836,555,416,907,707,073,127,660,595,467,340,036,341,658,
309,932,731,774,982,120,706,785,826,009,545,732,590,245,805,847,595,321,890,
738,450,616,265,704,905,022,124,867,451,081,100,457,357,151,326,434,389,033,
809,678,343,379,242,678,006,064,271,894,201,208,215,541,619,904,037,390,231,
492,618,214,627,016,149,430,454,795,430,718,997,782,931,578,129,060,246,816,
488,689,154,145,569,744,875,288,895,139,609,234,203,532,508,263,679,033,617,
516,952,845,757,707,421,710,013,843,274,791,330,373,273,600,763,661,941,962,
467,815,103,890,247,453,355,329,354,698,314,882,246,048,779,994,924,822,090,
797,379,199,342,466,452,604,801,295,092,181,714,998,789,728,420,508,622,127,
223,214,508,120,180,536,407,731,871,339,529,517,932,327,550,083,984,475,344,
131,896,589,425,242,804,127,842,563,972,778,478,610,566,184,794,294,615,336,
160,714,241,157,416,895,806,334,544,463,657,129,737,527,620,230,306,290,954,
445,778,761,928,028,259,870,832,496,980,445,059,652,359,259,468,317,824,627,
390,475,295,264,894,611,688,026,740,520,385,153,890,198,407,199,235,039,607,
109,091,171,474,262,070,777,439,853,921,747,737,614,626,056,751,206,928,363,
452,832,930,497,213,550,528,028,825,892,167,394,110,973,544,437,138,250,304,
509,370,537,533,457,161,225,972,703,747,396,205,784,429,664,290,668,203,143,
701,067,366,551,900,316,756,480,183,890,709,234,092,588,784,870,541,559,950,
977,081,053,949,929,040,681,791,675,947,240,941,709,629,376,519,822,536,947,
418,001,967,970,290,841,354,581,838,642,690,987,105,697,357,769,513,742,310,
561,954,080,989,386,623,397,241,858,568,984,400,339,124,754,745,413,949,499,
167,289,777,074,940,886,539,793,198,928,070,200,509,972,609,769,238,258,966,
714,548,608,127,788,816,834,787,772,563,512,941,012,108,941,771,801,137,223,
957,601,560,015,522,557,238,060,061,843,081,833,739,518,071,276,274,687,524,
631,349,488,781,869,310,575,370,035,341,414,990,939,318,285,406,316,138,050,
733,881,493,023,431,532,178,247,187,698,351,610,250,796,385,848,383,600,799,
678,582,130,162,997,414,508,206,560,400,167,767,164,326,507,895,918,983,095,
414,177,502,275,657,397,712,280,295,656,024,863,532,803,000,669,051,961,415,
591,742,296,252,471,469,330,433,362,439,836,537,960,985,780,752,858,323,157,
004,590,153,883,715,339,746,262,146,113,570,330,144,006,219,593,479,206,928,
972,647,347,738,447,881,043,831,262,187,722,978,500,651,683,188,146,385,814,
059,275,772,541,113,997,527,236,651,765,344,975,092,252,992,740,006,486,285,
555,430,751,695,989,185,075,011,258,518,355,324,100,340,384,440,974,515,031,
072,129,370,559,634,724,761,632,776,333,365,203,401,430,744,809,106,728,583,
008,669,451,450,665,132,617,948,928,373,367,774,191,749,484,191,210,760,810,
952,573,167,426,204,094,856,339,298,578,339,201,705,511,076,236,682,294,571,
424,033,933,321,226,076,508,459,520,844,106,363,664,665,914,393,352,580,787,
074,330,802,731,533,377,209,950,892,835,588,775,652,987,212,181,187,451,092,
019,162,728,295,781,223,111,776,627,285,638,559,185,955,702,554,004,587,554,
479,643,513,381,982,585,732,452,146,055,855,847,465,177,858,122,616,770,582,
805,118,732,835,956,896,235,612,152,316,018,893,057,420,662,254,350,026,854,
268,372,940,265,498,868,181,605,231,460,232,579,617,752,069,136,950,325,579,
084,597,222,306,722,266,033,610,464,048,330,147,517,435,461,144,993,492,789,
862,584,672,906,436,641,423,815,610,728,626,791,555,548,141,409,031,037,974,
195,458,477,545,434,900,011,056,843,662,235,566,053,022,513,329,231,406,624,
382,709,824,118,792,031,352,202,651,068,816,968,087,623,721,310,659,701,606,
205,562,298,163,866,228,429,660,909,244,391,728,301,389,022,909,352,592,968,
597,344,968,649,905,053,531,022,793,641,645,740,246,827,924,811,676,918,189,
875,090,866,739,818,879,318,689,593,937,073,648,734,854,483,395,949,171,780,
290,177,704,777,381,971,359,809,370,442,774,822,057,014,968,549,085,257,709,
366,829,372,936,122,463,518,725,536,514,983,942,466,588,621,118,556,989,849,
062,716,434,923,626,389,512,967,849,465,880,308,234,560,207,991,235,278,642,
322,955,433,769,336,473,330,706,006,846,573,517,477,375,622,450,313,217,472,
288,772,805,899,913,028,310,477,164,103,592,022,012,871,399,066,510,701,365,
482,521,374,752,436,556,283,182,916,859,300,113,998,162,160,641,080,109,163,
198,706,181,528,031,853,047,425,783,398,186,801,864,255,453,457,107,987,933,
491,604,345,719,962,754,600,797,430,911,839,078,171,258,038,500,693,245,596,
636,795,918,940,072,684,994,874,251,384,184,496,388,649,658,050,923,756,808,
837,358,842,350,903,594,615,499,632,272,665,699,349,734,469,962,276,670,197,
068,849,196,457,241,425,287,278,262,426,112,858,704,608,909,011,199,457,494,
379,945,635,995,029,687,189,631,723,628,050,698,665,371,133,736,109,139,237,
254,986,533,305,390,757,681,819,739,577,825,688,627,126,465,126,348,843,153,
753,453,098,424,523,427,921,181,340,550,594,429,830,989,360,945,043,195,087,
522,379,463,113,879,624,734,887,935,532,865,460,248,198,762,579,898,587,382,
351,998,494,285,436,502,046,961,499,742,105,869,488,980,015,588,253,983,147,
296,394,786,892,622,021,164,240,109,509,136,148,775,426,372,233,364,985,947,
334,689,986,722,612,039,560,332,568,373,804,801,845,286,284,967,118,116,754,
393,250,216,431,776,644,529,507,901,323,629,595,105,436,348,267,983,814,448,
893,394,032,269,702,334,857,215,046,009,860,139,158,721,071,443,726,404,276,
048,042,835,951,243,040,711,561,964,180,628,920,700,291,022,039,801,019,377,
794,506,355,913,477,398,199,620,762,749,656,795,870,721,476,457,826,455,094,
177,532,710,839,989,634,676,269,449,411,832,902,383,260,001,680,914,478,258,
805,661,308,115,644,006,447,159,884,823,740,590,393,676,560,545,813,204,776,
163,062,566,318,808,245,864,741,392,259,155,438,955,028,723,134,810,782,131,
481,080,172,299,102,335,089,177,257,867,620,599,211,903,445,494,794,679,182,
504,141,210,617,970,527,595,788,729,721,209,835,499,571,263,228,637,067,765,
004,912,669,891,968,852,491,053,822,420,683,368,960,215,072,634,768,408,542,
254,511,538,403,590,753,597,914,153,771,019,143,651,834,047,084,481,320,138,
440,797,390,522,072,098,755,061,824,901,158,165,313,329,703,701,465,909,400,
257,077,231,283,265,824,111,908,128,344,046,920,098,203,893,433,493,646,052,
408,388,531,026,909,611,763,572,590,353,549,196,954,078,316,639,813,399,276,
064,840,875,799,919,064,346,188,974,842,981,981,734,139,556,414,258,746,351,
268,239,026,892,890,750,158,919,551,142,124,938,044,623,958,760,245,505,354,
132,596,043,410,062,823,097,896,867,739,505,098,329,009,488,026,008,358,483,
348,558,674,389,449,825,937,767,115,309,910,985,028,614,244,462,320,251,320,
845,638,907,395,384,451,489,330,383,560,701,797,919,958,358,531,750,059,922,
654,971,072,660,645,836,476,594,225,545,637,053,154,463,904,843,594,316,893,
920,978,495,417,848,533,292,167,797,622,391,493,030,263,493,004,135,784,421,
047,712,392,084,610,431,114,727,399,003,325,745,596,126,538,936,693,251,442,
751,929,606,770,411,208,519,553,987,626,430,932,529,053,617,545,844,223,084,
065,185,367,973,594,625,457,707,577,848,296,265,176,561,132,545,110,229,089,
703,135,762,136,878,794,706,559,000,628,022,723,489,658,852,359,553,891,009,
222,635,706,922,809,983,733,103,545,015,588,276,811,094,740,790,656,011,161,
939,058,697,696,261,392,888,392,719,669,180,207,904,827,289,511,824,676,917,
056,722,454,091,980,882,567,706,994,479,167,111,963,260,205,142,251,161,637,
180,914,228,962,552,390,971,626,067,515,446,252,694,197,861,404,966,998,788,
742,976,476,298,048,878,337,621,250,479,349,142,895,140,386,057,029,874,599,
893,182,078,611,082,651,597,813,880,681,435,489,701,303,640,854,398,535,441,
593,800,929,818,806,225,938,304,533,211,444,179,296,060,308,720,234,278,629,
213,275,418,326,646,023,946,067,836,647,549,728,849,153,411,873,269,934,566,
344,664,734,850,236,967,681,762,840,538,983,524,275,587,207,379,563,788,332,
491,317,370,824,366,036,412,732,159,543,311,557,259,556,735,214,925,936,830,
385,163,986,745,791,086,914,833,765,549,337,673,839,856,402,821,376,606,409,
889,996,210,797,828,438,971,740,335,501,080,965,622,996,690,457,289,996,400,
692,462,057,407,714,658,258,010,048,833,480,384,961,691,665,205,217,526,622,
931,439,869,821,095,438,563,914,362,792,469,700,441,437,280,575,171,264,266,
661,454,284,120,156,577,961,775,866,230,654,429,180,339,717,593,469,216,916,
470,111,470,853,506,242,242,456,834,546,404,114,899,476,599,341,873,082,542,
851,833,095,787,745,195,866,139,999,735,656,081,705,436,621,709,719,468,928,
809,778,549,352,877,136,100,969,806,434,921,424,863,552,510,858,920,778,571,
827,917,300,245,003,315,735,786,973,542,355,063,167,507,219,519,523,343,894,
051,720,762,871,468,269,162,843,128,894,238,845,170,736,960,788,326,644,417,
114,884,301,578,802,799,718,167,983,371,071,072,293,763,457,672,898,184,011,
318,616,040,594,819,851,428,358,430,171,385,592,725,064,252,883,041,570,433,
834,826,883,282,335,741,090,649,019,620,110,322,997,446,335,281,177,653,009,
538,084,805,822,879,426,338,287,976,406,114,516,084,308,394,853,174,604,294,
758,638,038,680,888,745,981,645,698,390,405,898,649,870,570,697,288,553,167,
331,408,918,335,177,305,402,597,307,741,498,535,728,243,839,572,914,373,246,
768,610,942,023,482,719,941,358,007,805,531,005,425,701,612,160,568,639,470,
774,807,289,790,238,364,587,275,124,688,007,079,070,689,096,791,448,380,435,
899,667,409,604,880,956,725,718,835,620,449,359,587,337,414,450,711,078,080,
241,774,292,250,758,119,808,071,342,159,004,194,912,426,856,498,102,720,010,
527,039,005,289,602,299,890,335,479,008,996,738,154,322,057,004,039,528,659,
898,467,835,249,647,093,971,529,055,117,483,097,443,585,762,671,835,611,096,
477,909,180,211,981,615,020,443,831,547,020,899,410,597,539,165,610,989,188,
808,497,468,626,772,553,006,128,611,313,388,331,891,783,467,385,856,486,102,
820,764,055,091,916,393,732,877,307,556,801,545,904,800,813,013,068,246,083,
112,663,388,214,921,536,557,446,058,353,346,443,346,328,396,611,729,404,376,
632,156,230,913,274,284,346,170,639,074,232,297,850,668,343,895,613,988,646,
091,821,343,217,058,700,078,720,907,442,564,422,720,675,271,627,387,718,866,
623,229,312,979,152,053,722,606,432,080,200,436,069,075,664,919,345,247,040,
825,174,330,338,377,097,668,569,010,922,482,676,338,087,388,172,067,565,668,
180,424,730,403,109,097,532,681,616,885,404,302,925,718,889,920,883,470,645,
710,934,529,776,215,497,410,167,227,234,798,198,945,056,840,154,029,424,106,
096,990,895,293,612,128,972,430,398,762,559,124,167,671,901,996,884,791,364,
460,598,384,818,409,107,019,467,030,598,120,117,085,449,789,822,091,528,506,
921,519,782,057,809,579,746,162,259,567,984,795,064,552,312,733,541,850,868,
749,267,301,956,678,733,610,047,396,034,406,067,455,098,384,632,510,799,141,
408,602,574,700,407,001,320,907,790,297,213,352,383,804,440,781,280,745,599,
566,021,969,101,947,056,069,182,639,459,874,656,663,186,823,291,549,896,024,
878,869,773,374,724,503,029,104,252,194,027,415,269,380,659,483,234,594,488,
667,483,400,489,183,355,359,092,706,881,261,923,830,129,743,095,066,980,438,
066,070,061,982,237,247,429,936,388,890,242,565,131,865,700,374,019,805,055,
408,956,523,304,807,640,126,603,342,659,535,807,172,708,778,958,625,846,110,
982,537,946,423,207,313,210,814,917,819,492,991,163,156,680,561,620,193,000,
777,823,044,838,231,865,096,435,516,972,509,823,003,208,262,855,823,334,754,
279,811,190,202,183,732,830,636,328,806,896,581,963,301,875,563,883,140,937,
677,720,285,839,728,161,773,662,501,798,800,201,859,037,654,922,404,106,770,
280,200,579,233,882,975,288,634,088,159,848,436,400,645,993,528,967,501,034,
143,048,325,589,605,024,469,587,143,514,064,187,874,533,349,397,982,836,342,
737,302,231,784,662,895,267,438,171,702,638,423,968,580,402,276,549,536,331,
272,307,027,408,613,862,682,058,883,319,676,158,705,718,378,681,483,922,778,
699,811,360,976,045,456,698,151,729,853,221,705,409,154,882,111,775,272,740,
999,007,969,130,935,558,793,678,075,830,706,785,390,066,511,786,100,921,460,
840,131,549,619,589,109,295,510,098,292,686,971,161,664,765,923,825,350,982,
252,169,075,526,403,287,973,749,298,248,801,847,220,708,943,979,601,752,562,
827,483,430,154,956,956,156,687,181,792,847,085,165,382,913,223,424,854,401,
878,826,259,135,746,442,902,343,444,404,539,185,401,839,712,834,095,159,125,
255,975,495,932,630,541,013,207,153,039,527,672,659,887,636,310,065,954,503,
525,201,635,730,150,014,563,282,033,002,720,065,098,643,757,712,438,689,210,
352,030,935,798,515,829,366,998,875,300,509,014,365,123,308,913,056,005,196,
840,578,864,551,809,548,014,008,366,064,360,841,649,611,222,521,281,300,841,
586,617,426,865,729,379,606,062,172,625,596,803,342,999,293,709,546,361,488,
053,202,246,983,824,254,259,003,093,226,298,413,599,980,946,469,239,991,150,
244,650,961,753,950,252,350,539,884,806,072,041,259,729,604,991,794,369,266,
936,363,907,024,786,042,941,668,094,321,190,319,845,820,112,424,342,345,347,
893,098,883,063,237,696,276,854,457,968,536,635,296,779,438,776,871,142,268,
083,361,694,085,124,801,667,726,673,807,501,099,957,718,317,487,026,569,042,
282,602,233,950,448,855,191,371,732,132,532,758,458,083,737,769,106,752,468,
027,397,070,286,519,768,090,523,168,427,423,315,228,340,355,971,542,098,071,
198,879,596,089,262,448,724,703,971,670,353,229,287,080,838,643,190,907,919,
038,947,444,852,421,597,625,255,076,166,686,291,794,514,610,401,189,777,726,
275,538,831,714,880,845,015,196,476,488,954,644,991,355,131,694,562,462,040,
404,428,633,552,264,604,522,956,080,020,795,355,191,144,512,583,576,164,633,
769,416,934,544,348,422,855,916,872,651,347,655,538,483,425,441,061,009,938,
546,631,165,459,525,743,654,652,216,419,247,017,702,997,674,313,135,988,509,
034,932,189,686,957,164,942,460,123,694,049,014,217,457,991,908,196,188,980,
102,177,948,536,900,821,944,707,709,130,391,690,378,810,181,750,356,964,624,
155,951,089,221,617,344,010,560,361,193,680,849,882,889,752,343,776,296,693,
214,645,256,980,832,442,575,607,273,281,967,300,575,758,281,705,252,127,743,
817,989,538,824,397,167,271,502,871,595,149,544,381,901,736,200,122,826,670,
932,036,981,079,483,752,299,835,122,515,794,919,405,825,751,183,121,512,788,
777,099,670,570,496,514,354,171,771,826,716,357,112,578,329,326,881,099,734,
581,691,028,637,327,585,679,117,904,738,386,776,488,880,498,364,343,678,754,
378,940,657,496,837,471,674,307,273,495,002,239,120,701,473,441,011,686,143,
648,447,648,300,332,802,228,878,748,616,366,163,850,436,250,979,320,146,435,
309,938,150,586,392,529,932,320,940,790,064,998,999,360,249,225,113,602,088,
211,618,953,259,077,717,961,558,993,591,840,135,478,486,616,886,777,146,573,
717,882,644,930,782,114,849,210,966,830,042,490,520,078,867,090,753,911,633,
488,843,744,512,739,229,538,701,764,003,736,361,475,220,435,333,661,079,341,
455,287,256,618,345,952,987,768,674,607,936,228,526,307,279,865,718,354,669,
384,190,504,377,855,446,032,408,611,761,944,458,121,094,058,294,411,012,956,
325,177,394,242,721,090,166,813,668,794,445,005,826,296,517,492,030,860,603,
160,594,663,069,792,525,186,247,890,457,373,017,806,202,740,502,943,706,693,
884,340,124,685,268,253,776,053,220,634,014,397,168,104,010,302,884,362,871,
365,306,938,872,661,394,746,588,316,467,522,922,308,987,122,040,838,834,674,
642,352,087,663,636,558,059,045,427,478,562,041,444,261,425,519,676,642,387,
945,498,122,338,421,554,394,857,007,944,667,797,357,812,724,092,132,243,707,
370,922,350,085,346,481,654,257,112,749,037,068,275,843,428,852,847,323,909,
760,903,304,170,472,864,976,834,395,326,199,369,009,006,812,188,167,040,209,
234,728,031,745,682,232,273,433,740,844,880,463,507,985,317,953,219,297,672,
022,682,636,253,991,767,064,147,903,021,950,734,148,270,443,586,168,098,961,
902,155,217,641,680,671,904,341,966,092,928,136,368,145,105,421,764,660,380,
125,812,204,444,415,270,195,189,933,546,603,907,957,172,844,372,146,466,036,
222,956,098,905,330,041,388,489,459,725,189,419,249,280,680,152,869,669,317,
866,620,928,526,435,396,839,534,781,277,340,221,903,894,124,360,910,144,890,
605,363,447,698,848,644,876,789,967,610,324,621,921,592,903,493,699,710,197,
070,761,461,066,198,725,169,251,014,252,409,113,115,670,268,476,529,096,355,
230,797,176,249,524,284,202,278,218,354,547,234,585,125,909,656,126,496,966,
072,006,525,336,318,014,796,720,228,882,073,456,594,187,830,691,218,453,394,
219,479,226,710,019,392,011,314,042,083,678,156,490,074,893,991,730,869,012,
186,467,742,077,992,598,641,356,649,493,737,334,104,729,245,940,687,928,499,
775,376,137,022,084,050,032,468,745,752,265,286,359,762,721,358,649,569,595,
709,014,564,706,610,139,735,573,377,580,759,146,217,363,310,807,310,835,922,
630,212,047,687,208,249,904,852,652,065,227,231,913,878,376,062,005,685,409,
649,051,983,404,951,019,711,002,892,034,919,664,360,573,330,648,744,578,864,
619,788,618,623,562,160,442,515,977,250,895,335,734,010,216,761,746,009,922,
173,861,655,153,570,855,037,637,206,991,364,188,278,465,591,904,836,629,694,
804,899,394,626,382,002,016,399,141,373,084,925,891,019,869,644,631,127,507,
374,333,690,692,047,913,793,763,090,276,153,057,180,996,482,440,413,512,197,
245,624,374,058,103,125,202,095,854,684,106,405,709,818,964,164,353,621,458,
122,584,013,593,011,362,445,554,153,245,381,627,361,100,370,442,001,106,149,
319,232,033,791,683,834,394,737,480,826,277,546,278,222,483,662,979,819,180,
760,683,741,013,849,869,661,787,984,664,411,910,764,024,091,138,875,387,143,
419,320,312,181,176,192,184,242,060,393,124,536,943,659,785,576,036,570,778,
001,122,166,170,800,717,336,866,866,919,691,121,410,500,830,779,325,618,850,
657,083,138,704,751,484,913,659,166,875,529,237,784,835,849,277,014,434,879,
311,693,242,453,584,420,546,699,584,133,535,626,513,587,751,608,000,434,203,
659,652,531,902,473,234,207,635,114,601,908,038,850,914,575,766,092,135,759,
661,197,423,700,357,722,626,071,495,861,980,213,422,020,381,305,275,909,188,
548,954,005,834,492,253,546,296,050,855,788,193,836,417,773,604,177,606,179,
136,908,159,283,120,130,248,345,055,919,025,621,674,122,973,544,927,704,206,
689,124,328,319,544,810,424,176,319,507,855,723,676,775,733,227,810,194,020,
847,233,855,518,264,185,087,739,811,157,057,542,264,743,310,133,774,368,138,
141,788,775,916,090,761,217,293,471,662,891,403,046,225,471,827,015,069,183,
977,910,586,133,010,872,298,539,680,657,177,182,056,135,521,339,140,267,788,
618,143,530,535,963,418,962,707,109,056,767,588,825,175,924,348,258,339,904,
168,655,814,379,668,965,911,724,735,823,782,780,684,345,627,926,347,464,136,
144,443,927,761,422,142,198,168,012,256,564,850,759,621,464,497,926,447,610,
806,612,216,235,629,680,017,629,655,709,222,511,672,572,384,776,681,259,474,
521,021,111,138,073,164,313,903,407,285,541,894,424,938,423,973,556,151,701,
797,315,144,770,561,913,145,895,454,234,054,000,218,899,967,108,225,208,926,
353,408,628,246,855,065,521,735,073,669,658,323,340,009,628,752,426,967,951,
173,318,735,720,562,846,930,850,380,093,335,180,842,402,717,916,428,410,003,
453,579,883,795,278,678,622,867,748,824,214,870,175,009,730,330,781,277,949,
536,304,376,723,117,339,757,091,309,053,540,160,657,135,932,799,502,951,708,
453,846,230,435,884,651,523,616,464,436,905,761,814,531,369,703,951,106,865,
561,676,655,242,010,576,351,081,037,574,034,169,423,645,191,114,873,544,350,
673,239,781,183,534,605,743,580,676,789,740,777,652,638,150,886,228,857,981,
188,095,445,213,436,587,103,062,495,133,818,518,743,741,088,816,096,991,381,
965,029,492,915,306,942,429,772,800,192,984,464,533,443,077,580,901,273,334,
308,391,352,029,933,769,788,450,477,965,931,594,800,498,895,623,669,921,585,
933,385,874,824,068,051,046,223,639,722,880,541,503,458,587,743,536,605,313,
263,800,750,128,216,215,155,218,119,719,123,147,734,267,894,173,030,059,064,
389,825,516,570,782,659,305,741,191,829,789,716,959,682,213,124,889,928,305,
145,305,955,451,718,024,392,008,944,743,973,514,846,244,625,727,778,756,597,
558,372,680,300,252,803,411,434,211,616,283,248,551,893,832,659,237,058,027,
017,405,626,086,052,334,830,981,870,861,035,612,459,825,035,087,172,214,002,
326,052,022,146,270,949,140,622,446,179,216,276,079,732,441,786,653,396,617,
513,589,954,067,573,610,944,805,461,783,062,199,020,011,600,368,757,282,586,
797,123,962,138,495,823,685,788,665,954,815,752,190,040,604,149,011,375,137,
360,816,850,104,200,317,344,557,700,413,305,119,418,658,217,972,788,580,207,
164,403,337,694,480,741,347,363,195,090,672,683,745,188,838,003,673,989,030,
052,925,049,368,256,561,175,304,801,069,759,909,219,201,473,319,204,632,374,
291,317,297,280,882,792,675,364,279,087,789,010,982,157,437,153,885,777,154,
850,270,929,716,001,648,733,860,264,971,689,801,416,823,525,456,812,631,533,
530,323,899,513,113,957,047,486,836,952,068,151,554,763,564,066,687,211,484,
942,978,373,780,680,223,505,669,717,457,543,082,430,954,656,965,620,541,425,
162,400,042,427,268,498,744,114,879,834,638,389,463,620,868,712,800,416,523,
874,095,825,454,675,979,185,744,303,049,346,581,424,645,271,525,591,687,341,
543,999,457,440,751,024,347,557,481,145,360,264,973,421,518,801,723,793,587,
371,692,210,322,927,440,799,041,001,402,006,743,498,325,481,462,889,473,070,
281,023,814,165,837,450,278,405,475,250,049,574,269,694,822,648,996,979,289,
574,307,350,516,300,191,061,089,875,483,066,995,650,010,761,626,307,387,934,
274,228,407,152,964,977,527,118,058,783,620,379,981,532,664,142,008,191,735,
506,799,730,157,602,605,434,559,056,845,486,265,049,002,890,374,292,188,210,
349,327,052,105,615,332,994,865,061,748,319,822,653,847,343,795,841,856,491,
503,476,865,957,225,405,029,366,140,886,039,120,067,140,709,243,852,799,307,
713,255,023,022,178,592,324,886,637,050,202,244,661,100,066,783,515,413,179,
002,363,458,075,119,679,557,809,600,703,018,229,644,582,310,762,070,908,660,
612,556,525,094,454,818,489,621,732,375,671,817,810,722,159,807,493,749,049,
238,317,890,906,289,539,197,463,482,892,879,318,546,079,941,911,044,184,346,
940,903,682,418,010,957,179,608,731,067,464,757,211,755,688,756,142,445,958,
521,754,527,164,264,996,222,577,990,995,811,322,391,330,883,325,221,223,681,
806,115,631,392,784,457,056,340,218,224,449,291,286,391,493,160,989,480,719,
937,234,990,878,826,497,188,988,216,652,050,673,568,896,007,151,883,740,744,
905,236,463,498,349,245,240,027,485,861,928,549,237,603,690,984,076,252,476,
067,328,123,349,138,526,311,141,158,512,877,733,291,888,380,271,089,232,819,
590,136,441,710,447,336,067,871,393,619,266,854,934,554,796,472,122,589,197,
087,661,644,332,070,366,101,094,486,824,618,657,622,868,770,655,626,653,519,
889,718,926,409,637,212,676,972,303,344,621,976,443,691,165,944,740,211,479,
609,515,075,837,371,990,606,708,865,946,331,955,406,710,689,393,081,229,435,
112,616,037,921,063,648,156,397,219,058,388,528,815,131,570,187,741,234,744,
396,507,250,406,902,612,306,359,368,025,131,738,044,559,965,707,683,303,479,
516,996,902,785,071,181,894,163,532,253,481,667,840,330,555,042,499,602,877,
175,035,522,577,559,861,354,074,510,168,371,367,813,333,807,506,946,900,485,
068,285,449,900,134,397,306,444,162,416,290,348,603,245,355,425,369,016,117,
891,816,183,186,743,911,070,950,984,432,003,259,998,808,722,338,344,004,405,
256,140,369,994,513,850,056,426,962,581,663,971,268,547,185,304,068,020,428,
758,852,840,107,215,433,035,245,115,275,722,319,865,367,390,356,058,292,104,
767,427,890,287,592,951,119,068,112,953,993,156,765,317,462,610,653,580,663,
078,672,827,309,478,101,160,055,300,950,969,694,033,571,409,628,809,479,702,
811,840,486,480,668,459,919,758,733,423,667,785,794,361,455,897,168,145,074,
499,169,826,349,420,903,840,290,778,146,575,766,555,589,527,389,178,602,452,
331,779,621,378,304,925,146,637,134,280,130,040,319,035,651,248,476,941,605,
787,840,287,269,416,848,274,814,904,933,333,818,894,219,569,826,101,600,876,
490,459,722,151,520,012,843,852,453,199,939,352,345,550,519,122,044,059,391,
947,140,458,631,590,856,015,981,750,109,450,972,820,847,590,621,779,973,106,
701,316,779,681,518,448,628,655,355,894,036,088,063,751,871,079,342,412,715,
745,890,159,978,216,892,227,788,454,772,960,344,435,751,723,866,708,512,981,
578,198,493,261,695,650,376,241,844,882,466,303,537,261,633,636,963,249,081,
612,266,109,043,785,434,062,000,583,895,816,304,974,836,505,847,849,095,819,
725,534,326,807,115,883,776,369,954,411,088,674,265,611,681,303,065,687,641,
569,807,473,679,826,944,779,080,975,799,778,141,445,071,096,879,421,941,402,
772,879,836,050,435,743,700,057,316,889,151,809,012,133,932,120,201,769,719,
617,339,700,826,435,438,347,748,498,419,149,839,210,180,716,985,009,279,710,
949,628,333,063,207,748,919,020,879,637,703,077,307,588,506,489,672,237,633,
966,651,811,323,983,632,617,658,651,596,707,282,908,338,489,941,283,789,724,
869,734,665,374,020,690,483,545,758,807,956,694,464,113,524,884,785,054,226,
294,204,109,080,430,753,847,800,390,147,000,680,083,594,025,146,729,679,268,
934,692,275,308,692,313,847,475,753,733,128,953,914,922,261,589,895,896,873,
908,985,868,472,831,671,350,214,536,562,449,886,684,121,724,060,234,875,216,
297,374,750,031,597,256,218,421,172,920,286,580,105,923,432,731,029,664,790,
239,323,885,686,776,945,531,308,486,646,181,793,489,114,162,372,762,786,386,
725,326,872,578,227,557,406,181,261,428,609,499,990,746,412,965,159,966,499,
903,945,356,745,080,956,801,444,852,807,099,626,042,576,250,049,746,571,554,
962,226,865,798,314,299,765,583,710,917,277,811,669,064,718,800,106,129,357,
476,587,249,431,412,132,475,830,878,128,489,628,275,373,736,533,165,304,554,
618,845,363,008,176,505,748,706,266,788,174,154,321,320,785,267,516,609,313,
110,892,653,142,490,593,267,554,567,095,120,716,775,987,664,066,734,546,786,
597,471,321,019,341,925,494,496,673,881,533,566,870,992,581,794,217,318,336,
895,477,549,428,222,650,627,934,023,782,684,706,517,193,357,852,085,151,710,
459,452,018,021,459,889,842,801,730,085,345,746,080,876,350,296,591,475,297,
076,336,168,514,636,543,909,295,033,838,751,020,767,076,247,089,227,967,615,
098,497,905,569,977,377,300,010,186,424,952,962,960,526,241,332,675,254,116,
418,112,765,081,968,510,559,235,444,902,109,737,227,390,463,247,164,168,655,
496,387,890,079,257,204,925,702,892,921,711,071,247,255,311,585,785,690,779,
902,570,092,441,835,132,479,834,348,386,789,164,287,312,195,640,315,315,170,
071,320,207,906,148,185,423,909,285,968,175,311,531,558,856,857,953,011,638,
468,098,382,847,534,442,066,314,324,594,067,152,583,087,344,012,754,311,757,
725,326,057,673,601,881,346,507,714,208,562,041,346,504,705,835,349,864,592,
097,604,750,503,108,614,001,961,872,190,186,888,070,295,093,519,606,254,884,
597,124,582,378,800,418,078,795,866,429,340,466,253,116,451,222,845,499,410,
497,765,789,360,281,608,717,043,022,721,545,601,999,212,478,057,701,324,582,
172,705,614,685,209,263,391,101,376,862,687,471,687,307,549,112,955,440,644,
273,118,251,449,536,516,052,011,380,484,516,304,077,268,248,752,133,214,356,
954,675,672,154,829,851,666,343,698,154,437,809,692,405,271,249,551,655,738,
972,519,300,897,957,626,720,575,400,259,304,954,217,168,733,252,975,968,135,
298,938,787,967,550,300,460,428,109,676,714,205,359,993,310,383,531,132,762,
367,312,487,405,221,378,028,127,871,369,514,888,249,201,263,919,156,572,540,
064,650,944,460,478,242,768,261,973,506,140,712,015,681,206,729,668,398,296,
524,579,552,794,617,244,084,781,088,374,589,029,587,621,496,736,475,733,967,
949,935,664,486,366,982,081,141,473,318,475,504,372,196,750,008,364,743,312,
308,705,736,342,002,010,385,614,108,119,199,045,190,167,560,826,490,988,271,
573,647,004,978,008,283,691,168,215,984,264,773,874,683,961,920,759,596,163,
643,440,097,757,250,821,274,642,574,470,511,184,431,321,831,310,118,934,243,
355,613,796,061,329,554,672,702,931,532,187,355,558,728,731,144,633,433,498,
278,234,647,816,886,319,811,082,724,515,212,441,779,482,538,164,891,149,569,
471,907,090,892,167,932,538,351,394,203,132,759,770,152,435,068,644,214,397,
184,603,317,931,605,971,449,670,079,523,236,417,508,910,238,400,121,996,479,
010,333,370,098,192,881,277,569,303,549,132,227,416,333,131,442,647,499,476,
604,419,381,753,618,102,757,984,290,676,125,833,205,642,451,997,508,101,327,
573,585,854,256,253,735,063,805,957,330,590,264,149,747,648,493,835,583,933,
125,173,383,162,189,097,108,617,034,936,706,835,390,746,537,588,159,632,484,
183,409,238,230,380,746,592,187,956,270,563,233,551,289,482,666,226,931,065,
368,532,731,691,699,010,482,308,160,325,761,897,697,783,040,395,308,760,208,
677,673,697,380,632,721,050,450,058,251,678,004,412,629,051,485,203,747,936,
960,523,711,698,374,004,051,003,973,225,129,004,166,661,156,802,735,968,563,
321,980,541,773,615,110,743,727,056,310,178,902,899,429,385,302,636,354,750,
417,269,600,791,874,077,721,442,812,498,178,125,454,724,157,658,691,914,197,
660,617,762,667,781,674,624,368,953,203,338,755,217,182,245,733,791,579,918,
751,047,747,999,694,086,952,590,214,106,288,398,530,112,359,676,171,463,400,
728,526,695,178,591,148,691,455,401,911,789,408,933,761,253,791,787,003,944,
958,804,592,957,216,532,472,095,889,306,056,267,424,181,021,954,885,852,284,
946,787,983,443,590,361,000,566,951,921,011,787,224,939,441,122,249,418,754,
537,914,241,920,407,526,479,589,977,806,210,552,222,347,151,037,990,504,765,
496,343,901,306,514,777,208,331,440,572,825,860,331,585,966,610,948,679,148,
086,209,769,715,051,036,266,864,091,945,507,362,808,008,953,165,346,197,732,
722,724,203,739,045,507,954,036,149,974,594,048,838,496,992,168,830,025,503,
128,850,025,934,261,469,763,573,562,094,980,169,283,111,832,844,878,426,112,
924,440,728,141,024,687,288,378,744,594,675,899,340,367,465,026,088,035,237,
631,938,390,793,311,255,244,944,914,119,587,056,359,716,816,503,669,069,780,
538,204,765,345,048,567,788,299,244,383,848,497,230,908,877,189,202,873,767,
401,673,537,155,357,502,909,819,158,927,491,321,266,308,079,437,757,262,068,
309,715,074,808,651,605,670,424,742,614,668,928,146,504,373,833,036,856,691,
193,407,661,894,419,900,570,912,584,727,412,838,635,830,562,773,991,432,783,
274,981,549,410,731,638,625,123,504,771,587,238,791,874,484,469,387,846,853,
377,060,742,755,719,990,234,442,981,580,411,270,098,361,731,534,995,601,586,
416,604,076,828,349,196,534,607,516,322,222,591,189,393,515,547,668,718,665,
455,910,709,095,713,801,389,249,770,220,924,836,675,674,822,483,076,952,247,
207,190,339,047,053,493,601,636,399,810,725,346,253,860,640,865,133,834,691,
302,244,464,794,218,479,857,067,779,334,189,570,023,757,046,517,014,649,197,
617,926,454,156,681,692,921,820,246,191,171,761,721,996,550,074,324,289,239,
291,944,778,432,638,137,240,493,858,099,077,543,341,724,312,351,922,620,875,
936,019,194,688,601,923,754,366,687,765,668,572,628,580,444,765,059,987,661,
364,733,022,189,672,389,539,872,422,079,022,016,863,307,648,321,829,555,991,
197,041,809,547,604,743,525,701,910,154,942,133,122,425,719,154,125,810,900,
397,916,765,825,361,211,256,959,493,197,299,966,104,224,943,595,322,038,130,
485,832,638,614,214,028,242,844,171,514,719,501,304,048,146,134,827,375,445,
225,060,004,842,631,358,173,689,963,834,947,859,124,100,011,237,184,955,465,
367,529,511,854,621,018,981,837,518,509,692,359,092,619,404,216,257,746,403,
221,509,791,367,276,052,248,746,620,840,513,687,599,916,480,849,885,812,543,
003,820,212,235,106,893,745,233,318,443,951,678,640,413,898,920,449,289,637,
619,309,219,163,771,710,706,222,507,448,938,812,935,772,515,229,626,284,968,
204,398,855,943,432,007,053,165,618,667,286,057,106,302,953,385,419,772,246,
555,372,021,128,393,789,957,735,294,311,307,144,273,993,628,491,418,867,766,
602,102,519,649,922,966,946,707,274,405,268,076,902,453,220,977,666,187,077,
253,418,811,021,429,793,604,088,159,059,297,855,422,046,817,549,933,437,274,
301,426,683,581,802,222,284,444,699,075,292,936,017,335,290,404,190,242,963,
899,217,720,721,696,487,910,227,563,607,287,408,952,353,610,739,194,244,793,
111,468,997,614,902,090,002,151,730,113,235,170,555,049,504,197,897,168,206,
955,685,818,286,780,849,360,318,109,351,046,993,293,841,453,505,909,876,415,
232,687,427,461,357,795,742,751,642,891,701,500,883,460,631,958,455,340,094,
099,983,278,318,421,163,402,503,677,368,679,325,933,133,059,601,014,087,998,
940,498,183,102,082,639,747,394,332,542,249,803,769,266,106,261,864,178,092,
177,410,993,523,906,398,945,114,757,215,060,267,350,126,029,303,540,741,554,
016,524,162,575,503,989,008,187,775,579,868,400,855,159,802,909,832,341,226,
452,812,835,487,938,656,517,104,426,240,276,999,154,896,644,402,567,143,636,
425,717,762,652,304,807,284,814,258,727,622,565,313,206,856,976,122,677,938,
758,134,633,430,225,813,181,054,314,488,035,107,699,147,423,180,572,227,339,
635,255,651,597,074,137,446,299,583,054,199,680,199,153,135,429,166,789,649,
121,632,376,596,604,865,581,899,751,085,017,375,856,553,878,687,527,986,915,
387,060,441,148,427,839,128,768,089,070,299,166,317,426,715,886,453,760,076,
659,875,497,688,461,120,033,727,101,715,982,471,543,082,920,401,427,307,395,
281,756,871,677,054,841,850,154,566,206,065,694,730,898,540,666,111,131,239,
487,283,638,418,679,166,665,768,618,571,455,526,173,848,162,718,658,068,838,
381,324,836,446,494,399,473,183,294,222,471,177,286,769,429,550,449,332,626,
734,611,060,686,019,357,482,189,243,375,905,114,250,719,757,485,479,499,697,
623,642,330,758,759,026,010,107,986,268,035,868,823,174,313,294,593,938,582,
601,963,446,919,211,505,643,110,109,348,409,545,484,496,013,069,698,823,809,
887,103,989,628,178,492,263,426,870,309,258,627,875,435,429,030,906,081,207,
086,615,821,952,471,410,519,560,756,919,334,730,469,917,887,883,994,740,473,
930,729,488,136,643,972,402,127,396,342,368,020,831,805,527,820,827,923,120,
575,650,633,099,460,068,975,838,932,600,597,654,985,244,888,567,393,932,781,
093,694,846,534,727,074,499,929,423,833,678,420,337,255,655,316,413,979,496,
909,224,925,290,687,720,016,195,632,230,691,695,529,762,576,875,230,545,312,
159,298,479,067,531,779,623,034,685,362,822,688,689,995,378,410,425,836,073,
693,171,667,497,551,862,809,192,242,010,103,410,162,218,600,889,605,696,974,
905,017,185,495,885,320,005,500,588,163,762,544,532,096,484,912,855,824,263,
698,169,062,169,210,758,945,692,928,863,767,895,481,867,144,741,326,613,923,
523,823,640,129,069,577,169,120,319,975,836,218,668,249,347,847,091,299,536,
025,206,542,629,730,879,547,567,097,764,695,072,817,703,402,336,299,493,403,
782,913,652,663,093,964,668,823,857,898,851,855,712,588,309,555,456,867,155,
844,071,873,688,721,333,934,263,550,825,499,134,512,969,879,671,447,793,884,
486,278,470,540,134,059,707,261,732,251,601,299,101,722,051,768,864,109,894,
924,537,201,704,369,979,815,419,321,714,461,417,760,942,886,833,100,321,036,
672,052,705,396,116,822,963,480,617,928,672,801,716,659,174,422,530,810,723,
750,562,304,118,307,304,223,345,835,556,010,608,625,327,643,060,186,364,470,
314,252,102,280,619,366,702,419,919,132,664,495,099,180,910,858,863,418,839,
117,320,253,639,596,622,157,061,558,832,838,386,596,392,077,896,347,726,597,
332,503,653,250,951,934,364,464,697,638,475,778,367,053,167,482,566,174,285,
554,486,664,234,487,693,486,106,463,370,722,374,678,989,392,668,166,726,090,
086,884,731,115,203,922,670,623,830,240,070,123,948,671,980,347,738,639,444,
719,926,204,203,443,793,446,578,358,752,958,229,219,342,099,481,713,781,302,
593,316,998,840,198,911,970,641,038,004,958,445,000,471,636,371,807,656,343,
422,580,778,867,515,264,903,268,602,411,904,629,161,803,321,628,643,749,964,
546,655,956,732,016,970,506,327,425,329,046,758,841,425,922,312,472,372,391,
795,625,804,415,674,600,111,845,920,795,028,350,873,834,434,148,239,058,159,
876,883,358,848,448,501,689,131,566,942,931,693,225,695,919,673,711,234,278,
573,985,537,552,884,229,483,242,561,338,104,087,244,205,217,321,236,229,644,
448,617,321,629,781,477,035,979,099,861,455,089,827,775,039,212,095,855,224,
092,161,615,880,197,884,147,364,806,416,264,928,306,009,537,684,753,185,046,
961,583,072,289,071,826,665,841,553,340,499,994,460,670,929,605,998,891,480,
941,085,692,220,363,393,157,259,463,042,985,078,394,346,374,434,796,541,981,
177,281,859,845,563,945,104,092,230,485,967,950,417,978,252,518,747,472,215,
913,866,642,881,996,046,945,144,795,525,233,277,390,595,552,702,375,953,236,
443,052,032,239,141,228,419,609,334,561,909,463,221,163,265,700,102,750,809,
272,824,571,359,151,466,828,174,024,377,454,278,943,948,241,348,628,853,531,
881,465,041,893,753,336,802,077,586,928,705,248,214,587,586,160,270,815,655,
461,952,399,263,038,692,093,876,847,649,742,779,194,152,758,092,279,542,918,
730,107,851,681,208,159,094,741,130,524,537,692,320,647,866,845,523,550,053,
880,141,368,531,353,288,986,296,563,388,106,425,724,335,025,562,298,327,883,
307,568,931,304,808,173,193,701,721,235,731,036,244,292,625,899,628,874,181,
830,772,593,793,882,300,113,870,662,356,917,259,115,912,493,264,136,499,801,
148,019,759,723,984,860,932,383,768,718,355,693,576,476,700,208,864,695,694,
822,316,397,720,194,441,014,448,110,336,878,311,508,096,335,449,622,390,549,
714,830,187,171,007,088,860,770,401,874,299,559,308,841,662,453,683,759,959,
151,386,442,003,508,035,727,493,027,562,555,049,852,038,996,098,425,631,861,
939,584,009,713,923,863,833,600,652,772,490,980,059,501,457,808,713,948,579,
695,782,546,144,898,129,505,086,360,149,561,121,040,317,055,970,053,297,479,
285,056,979,283,146,713,955,452,187,606,191,760,232,741,960,910,313,810,108,
195,436,545,419,803,412,427,892,159,956,178,061,404,309,491,082,525,676,013,
401,028,141,357,007,353,383,290,740,964,888,574,711,228,972,032,624,041,064,
966,095,050,292,983,644,600,334,131,245,738,298,907,518,426,581,357,210,331,
393,592,195,993,201,128,704,312,464,349,722,396,171,961,536,006,521,145,157,
363,551,498,671,710,139,356,158,319,427,589,243,082,471,919,860,940,963,362,
592,534,681,337,680,203,264,921,444,249,694,370,307,672,430,289,508,294,891,
174,261,405,611,555,925,397,693,149,148,792,602,687,573,232,514,552,304,495,
117,333,667,867,500,827,120,919,608,778,396,933,899,737,255,497,229,212,247,
265,351,722,268,669,576,010,147,410,442,560,341,734,571,814,255,605,103,528,
760,653,280,341,150,636,772,574,320,564,759,863,289,367,885,347,185,568,021,
024,923,154,414,399,921,981,084,204,279,242,871,354,219,071,570,568,589,399,
415,501,562,980,903,929,554,240,276,806,848,316,277,913,538,806,454,604,038,
620,230,063,506,531,758,129,492,824,367,066,122,293,037,411,595,636,596,410,
383,878,582,118,674,166,522,733,946,451,039,786,207,689,041,718,764,238,485,
974,095,061,324,620,651,080,066,631,234,309,435,584,180,816,021,446,968,098,
701,416,598,758,613,646,575,533,761,139,751,920,370,274,695,878,225,992,748,
250,820,764,563,336,581,251,510,269,065,486,911,932,218,093,412,072,819,100,
590,674,116,733,667,206,717,121,457,692,023,170,408,683,388,504,564,548,933,
998,043,644,696,255,447,166,194,514,516,249,827,057,669,325,061,313,308,247,
386,836,658,845,179,697,944,000,412,537,346,024,697,104,056,249,436,644,441,
314,705,907,216,589,210,861,224,092,285,354,968,163,038,088,855,495,180,042,
425,186,702,543,405,743,502,885,044,109,517,174,570,062,181,255,606,614,508,
932,474,472,283,059,137,073,735,621,901,103,315,070,729,208,825,038,534,490,
592,502,659,794,855,599,420,333,024,309,226,547,989,552,845,445,114,788,565,
168,443,294,508,584,642,678,563,597,827,332,947,722,559,675,791,760,821,005,
017,869,815,744,841,387,934,009,628,084,636,879,559,897,713,592,939,860,300,
920,458,154,493,324,480,288,107,037,540,565,062,386,837,394,901,637,345,568,
628,046,023,904,094,654,164,185,575,607,735,541,862,017,078,122,821,725,180,
726,934,609,393,799,797,102,908,545,643,266,511,131,805,152,870,892,650,777,
358,511,382,520,342,246,613,295,275,952,683,413,568,865,664,753,658,935,131,
699,220,193,859,869,111,223,739,151,778,978,366,565,699,134,219,772,345,576,
544,212,736,644,265,460,814,754,029,363,016,642,625,542,108,365,829,247,952,
856,363,267,008,984,779,613,699,944,233,732,182,506,120,901,348,693,843,935,
405,395,418,284,553,093,233,384,988,974,664,623,449,482,259,574,086,935,953,
228,094,553,272,474,360,423,597,962,615,292,000,710,545,495,352,084,387,117,
401,234,159,270,872,325,476,153,026,885,204,337,697,734,822,653,984,022,915,
097,166,246,705,803,849,746,849,818,640,564,830,391,767,059,232,265,334,044,
919,433,330,788,704,404,852,797,545,713,534,478,136,404,953,897,265,926,171,
008,713,347,742,556,707,237,054,719,588,939,766,131,281,733,353,519,243,170,
965,633,453,899,830,220,083,485,300,635,915,522,585,354,023,378,042,563,325,
991,456,256,045,353,761,656,089,559,728,034,571,935,549,588,191,928,291,791,
726,007,580,324,985,991,034,244,167,174,980,702,676,203,050,831,399,265,119,
543,196,372,936,886,140,305,473,789,811,112,593,425,278,441,186,644,575,961,
477,498,307,023,710,356,923,228,965,024,735,500,997,804,830,922,705,429,079,
342,690,046,215,505,049,745,506,553,282,624,549,951,231,329,062,465,483,071,
907,671,366,761,357,355,507,339,406,339,374,546,460,782,651,968,266,298,512,
626,747,057,447,275,158,632,349,725,020,887,503,049,390,453,263,200,967,358,
273,750,073,812,856,996,209,672,603,186,297,346,300,715,837,850,750,511,782,
920,967,166,106,900,864,231,772,398,325,987,030,637,203,184,522,977,083,415,
045,630,495,119,678,814,874,421,109,348,537,405,457,899,334,155,774,124,400,
837,214,087,473,630,871,455,388,242,351,074,876,982,516,320,877,493,402,570,
717,544,897,943,582,551,310,364,111,302,724,923,687,433,062,745,695,396,897,
556,456,221,974,878,973,429,751,294,277,404,977,214,939,095,255,260,524,154,
895,978,789,125,254,101,037,729,061,025,234,757,917,230,207,542,001,353,726,
407,120,531,177,975,762,320,586,919,416,223,572,592,435,981,959,409,334,608,
283,906,005,892,972,380,577,449,451,627,470,138,494,201,848,694,830,111,815,
797,918,771,596,597,560,592,722,777,590,658,115,255,286,960,878,213,944,739,
685,693,221,271,500,841,407,358,189,339,981,401,527,039,102,646,912,175,139,
600,979,714,337,236,853,262,804,784,039,646,310,777,475,298,298,589,957,932,
646,744,264,349,368,715,936,550,964,447,932,612,271,842,382,550,464,547,395,
672,051,687,277,378,380,419,346,376,058,234,035,862,333,650,276,475,250,835,
752,763,380,052,925,637,116,528,565,281,745,754,179,089,617,963,691,587,268,
968,591,679,240,045,320,926,612,481,380,251,152,035,604,472,345,858,642,343,
747,447,277,579,193,864,766,011,620,048,588,470,546,237,396,911,521,479,019,
158,759,878,362,968,458,396,822,630,790,576,369,354,784,840,743,453,641,771,
803,031,292,779,642,508,037,375,792,073,723,563,097,011,006,496,772,859,080,
790,094,696,377,817,659,133,603,020,732,872,529,380,758,494,591,959,232,390,
222,363,792,597,651,085,115,351,978,261,855,786,999,935,294,946,203,996,063,
726,035,332,679,696,083,337,068,059,906,897,828,575,242,230,443,926,015,917,
311,001,652,568,503,975,089,749,172,363,431,434,064,356,139,006,553,159,110,
626,629,040,884,158,364,832,970,419,871,667,716,131,771,799,693,181,534,574,
699,013,767,280,793,246,940,309,092,261,285,286,275,798,504,240,189,477,465,
551,411,108,587,491,876,031,940,968,518,308,159,270,820,675,137,661,902,148,
240,890,246,201,105,190,229,218,318,242,405,579,957,501,773,283,219,060,431,
214,562,357,641,619,216,933,003,508,998,425,796,061,456,469,715,315,751,393,
181,006,270,703,174,368,584,282,927,030,890,842,527,609,228,115,745,773,169,
705,395,021,360,776,472,676,337,719,910,702,806,013,426,895,901,129,347,612,
905,039,479,727,391,331,124,859,589,432,308,377,719,865,731,820,994,223,651,
404,945,222,115,009,534,442,419,416,859,387,358,445,755,320,347,966,344,369,
521,190,177,698,182,220,052,068,179,721,184,526,132,533,117,665,115,361,824,
622,940,007,011,079,227,269,068,448,670,365,626,526,851,241,432,344,098,818,
487,678,675,169,208,667,647,613,645,636,516,531,955,512,299,826,216,690,085,
146,859,998,949,253,146,127,430,288,802,417,146,167,643,426,005,188,689,030,
021,305,183,607,339,749,020,962,703,705,855,310,990,015,844,306,966,839,225,
703,881,257,749,009,705,392,590,244,493,625,108,440,011,573,249,529,921,359,
926,406,225,789,565,419,319,871,324,807,950,676,957,267,690,247,586,018,319,
883,284,155,077,235,332,252,864,169,473,909,403,958,397,866,725,589,534,163,
259,513,825,145,309,755,748,733,087,596,445,407,973,894,361,453,639,377,238,
206,964,665,536,360,168,246,429,260,531,464,894,829,681,283,171,946,841,817,
882,224,458,310,964,162,725,157,078,811,373,378,621,215,431,788,501,805,300,
804,313,224,165,701,867,703,934,269,268,442,682,124,849,766,216,946,475,859,
688,245,345,764,313,126,841,519,826,458,091,807,750,107,970,800,195,421,611,
034,291,747,420,904,282,718,077,654,097,570,946,893,658,832,529,204,715,413,
173,340,915,528,349,661,372,978,039,305,205,055,182,295,470,815,642,943,794,
385,357,679,015,221,666,324,786,128,203,564,905,916,740,488,811,768,658,512,
834,700,584,906,534,992,197,136,521,223,248,708,237,911,111,821,250,821,469,
225,203,772,699,120,533,818,211,678,850,004,903,986,602,443,044,404,930,787,
546,176,796,499,432,929,683,907,848,440,744,163,793,061,202,964,455,741,416,
155,896,716,947,712,396,872,435,972,583,160,098,095,722,421,060,183,896,489,
715,129,961,203,307,833,811,470,710,177,696,612,538,499,912,634,371,548,295,
513,023,205,231,812,536,379,951,765,313,009,785,946,955,986,603,675,580,481,
451,399,787,606,929,480,037,532,217,437,285,828,410,398,121,020,661,937,110,
142,690,499,924,888,131,883,958,190,802,878,304,359,546,973,745,739,548,326,
442,526,927,729,613,022,894,828,874,507,574,755,087,802,009,173,751,934,741,
909,664,659,232,992,006,065,742,346,137,201,246,201,264,067,937,950,649,432,
810,643,358,188,353,055,919,649,951,649,081,963,541,345,866,638,559,504,487,
802,368,377,592,916,586,159,832,409,491,780,922,467,909,806,919,583,798,062,
164,838,184,667,109,077,057,925,260,880,909,439,468,440,530,216,807,696,029,
890,762,039,369,893,150,362,718,415,055,932,571,895,064,112,233,848,740,628,
483,399,748,327,010,761,888,592,790,672,392,406,432,008,867,917,481,407,746,
928,673,553,064,392,454,985,544,300,004,860,275,490,328,730,087,143,013,405,
670,868,296,831,542,767,885,426,377,180,226,214,065,324,611,003,663,419,080,
947,974,962,174,347,053,926,350,105,739,249,256,443,848,309,229,388,043,419,
032,843,511,461,318,202,441,959,136,856,871,150,809,993,332,154,653,361,400,
295,805,825,981,816,917,755,531,950,846,307,264,066,489,065,227,719,048,705,
627,685,549,646,264,592,198,572,755,101,699,253,331,891,218,811,675,738,118,
351,127,962,291,062,209,928,331,942,601,171,620,538,546,713,451,609,036,261,
449,882,643,833,230,634,526,000,390,615,931,521,356,406,713,599,007,311,333,
547,602,610,569,773,237,200,153,102,611,841,543,661,050,804,216,622,928,046,
903,979,593,688,912,527,469,063,962,888,865,197,077,676,678,410,507,238,439,
916,917,988,619,628,253,557,223,157,723,554,865,508,205,854,960,652,559,342,
030,146,284,394,919,942,007,923,077,515,638,635,726,334,659,093,589,440,769,
598,678,977,076,459,889,824,417,121,786,108,843,458,599,512,143,618,065,898,
062,853,782,189,105,205,472,660,939,777,674,192,341,712,980,345,183,788,141,
093,720,383,611,655,323,300,980,395,650,077,054,295,533,698,221,178,401,231,
849,511,773,043,220,125,263,560,854,591,219,640,796,190,412,845,164,947,165,
290,788,808,794,341,876,901,687,557,997,368,097,287,121,524,468,371,708,824,
347,667,944,432,656,382,318,939,105,362,413,619,764,346,957,731,368,950,043,
364,529,195,851,375,358,450,496,750,879,032,752,273,593,997,536,016,348,352,
585,863,223,160,869,584,742,130,812,162,061,435,129,849,957,710,252,354,438,
658,932,377,911,581,177,296,261,868,638,467,704,426,603,411,280,634,793,480,
929,743,367,591,511,069,248,776,305,229,530,302,837,404,287,427,452,132,133,
162,909,437,123,730,704,716,853,894,407,870,558,542,742,057,278,516,680,059,
442,516,800,300,658,014,421,086,885,739,360,127,762,973,283,210,497,719,279,
641,693,807,431,493,972,630,090,300,595,197,145,540,321,178,521,617,620,285,
568,740,389,492,653,936,820,723,265,745,473,195,592,316,398,389,881,994,120,
725,230,576,374,827,979,290,811,385,890,083,576,672,962,878,633,155,196,942,
355,540,301,284,857,587,193,304,181,924,095,101,454,546,818,541,017,348,581,
083,330,849,556,961,226,658,753,904,873,389,253,237,744,616,457,064,874,501,
432,218,724,399,933,532,201,301,066,096,634,785,569,893,099,442,380,625,185,
905,857,284,766,682,908,948,471,790,021,587,831,757,818,561,265,608,778,442,
759,629,118,790,267,924,361,444,137,551,109,484,255,292,993,804,815,958,384,
337,640,553,446,982,446,661,417,906,200,970,117,792,698,851,816,370,011,593,
260,303,427,417,413,907,571,345,435,648,297,345,139,162,445,176,242,733,620,
399,406,003,394,272,698,859,491,516,087,524,326,205,007,213,653,276,682,558,
726,093,986,197,383,604,825,826,544,292,358,976,208,463,400,381,682,601,086,
587,333,564,158,058,173,651,532,260,962,302,241,026,640,011,111,782,507,620,
231,117,911,736,826,471,180,001,870,062,375,704,521,757,068,025,169,915,465,
481,729,132,076,198,290,419,553,934,970,479,052,971,877,574,507,574,896,499,
094,227,580,307,595,143,896,607,374,268,684,597,945,358,355,461,960,483,977,
495,773,510,243,741,130,350,345,652,932,503,057,989,337,497,888,280,420,344,
412,940,481,959,006,491,380,932,112,970,421,906,663,757,246,097,913,089,190,
824,281,688,997,102,557,700,157,830,442,479,356,068,541,160,446,378,809,873,
198,405,515,660,634,461,772,938,129,155,930,188,766,437,003,501,617,010,271,
956,993,910,954,139,005,745,790,527,635,755,052,762,385,810,355,541,209,526,
356,136,563,092,139,451,542,895,311,226,551,433,672,884,791,955,859,458,087,
225,232,161,873,267,893,969,832,852,776,370,756,487,572,966,135,085,676,091,
845,232,407,947,670,830,807,751,617,373,497,774,955,245,872,595,764,315,800,
650,342,525,437,025,265,379,313,061,015,174,720,226,883,923,170,459,039,999,
427,635,334,173,313,406,743,111,329,074,849,188,378,416,947,750,646,010,024,
002,707,459,626,022,540,258,502,022,616,726,381,724,351,726,719,994,320,646,
176,128,343,345,591,113,428,076,172,584,196,477,418,975,999,331,173,043,422,
192,819,566,960,020,514,971,538,551,383,504,841,331,169,490,997,301,151,461,
025,017,744,261,609,412,670,560,723,200,620,545,739,584,489,879,408,466,739,
989,260,513,437,528,903,487,591,970,871,788,702,543,459,276,998,656,817,229,
914,158,743,792,947,435,102,092,171,260,126,558,898,554,109,191,971,817,649,
421,123,590,194,038,335,600,025,019,807,873,680,999,575,992,739,378,014,149,
476,578,771,326,511,429,088,229,207,120,304,492,855,822,346,114,560,193,780,
075,548,527,787,682,539,043,037,106,560,850,363,018,389,964,720,979,835,297,
215,770,701,684,984,342,770,273,863,353,201,127,706,823,260,249,991,928,554,
089,988,052,176,675,813,639,462,889,372,309,264,208,407,648,552,657,252,141,
745,600,740,925,007,393,689,959,734,333,544,786,424,733,993,555,226,398,651,
248,049,611,821,325,174,637,780,130,091,281,036,375,168,413,644,152,705,492,
203,678,827,076,106,508,704,715,542,456,762,656,419,533,489,529,085,448,632,
812,002,729,142,298,584,753,882,710,794,227,611,407,120,177,236,741,757,260,
583,868,526,179,798,071,356,294,880,354,139,294,086,327,851,622,629,131,236,
132,745,787,049,745,798,719,657,721,345,494,644,129,954,856,306,474,803,457,
501,859,113,735,897,388,020,539,388,873,876,439,778,432,252,512,213,569,061,
772,835,996,664,493,316,905,706,888,769,710,734,094,517,655,256,398,347,050,
293,044,411,228,189,421,018,017,483,282,059,631,464,340,407,504,756,860,913,
653,920,242,556,324,969,566,931,281,294,707,195,028,839,738,683,503,827,277,
081,155,620,077,514,285,881,297,042,947,851,747,614,372,388,212,055,706,230,
206,010,562,747,840,492,772,875,365,445,725,763,253,132,706,890,837,697,456,
283,408,403,319,942,828,444,879,969,051,481,487,866,590,321,205,840,215,766,
461,421,721,315,281,074,400,841,562,496,131,265,079,166,694,861,243,668,677,
929,016,339,097,544,441,975,792,707,415,513,849,796,077,897,056,682,792,450,
479,143,494,589,815,995,313,146,703,300,405,584,469,421,815,860,566,069,490,
025,744,742,395,641,948,476,599,598,088,043,079,695,758,916,270,444,578,733,
022,953,871,154,584,290,698,963,398,794,802,116,546,092,337,870,080,232,882,
861,094,104,624,909,251,905,363,892,277,430,036,803,046,043,064,242,132,018,
829,984,370,936,124,470,500,125,336,613,586,486,007,163,224,571,529,402,893,
809,358,079,634,639,462,573,803,684,005,247,802,881,400,776,616,375,189,983,
979,707,130,521,119,825,600,378,387,562,241,736,516,466,904,773,733,791,918,
331,600,278,366,314,444,555,718,298,593,513,098,845,094,428,889,220,187,892,
916,290,577,232,120,745,607,405,757,941,552,526,597,842,124,726,290,499,400,
243,460,915,941,120,274,918,919,888,074,633,700,780,337,641,006,247,942,989,
862,192,193,764,394,026,967,602,006,626,107,535,935,591,086,352,554,469,151,
132,504,794,116,371,069,707,450,729,959,135,893,334,695,960,483,751,209,065,
419,283,594,415,956,961,078,293,816,026,361,990,819,921,335,675,304,619,945,
532,471,506,976,833,934,004,658,732,753,069,014,794,922,946,740,492,661,090,
799,806,341,287,882,634,386,000,693,861,377,228,838,248,688,862,627,726,957,
298,102,977,185,987,952,057,449,970,270,170,435,646,986,942,806,310,255,457,
351,065,129,549,468,429,436,110,607,641,715,742,988,138,808,817,797,329,545,
611,684,819,967,418,096,026,932,475,270,362,131,041,169,850,208,058,026,200,
475,770,831,971,825,948,449,814,482,270,399,149,510,108,292,036,885,135,765,
416,514,157,021,433,331,560,143,183,679,459,738,344,540,786,978,792,944,705,
320,860,242,397,049,680,237,628,469,881,773,439,058,743,942,246,256,146,565,
481,673,340,147,081,847,346,400,280,230,114,770,393,491,341,699,276,845,426,
046,693,873,873,380,763,702,773,993,327,619,636,152,954,489,780,228,895,163,
735,182,404,932,775,142,106,739,090,943,068,093,786,563,519,223,488,437,675,
065,203,058,264,490,228,636,494,261,464,787,921,505,662,814,403,763,863,482,
959,144,126,909,721,982,074,291,505,094,988,880,017,022,406,324,473,075,371,
317,775,735,841,452,077,449,767,868,035,532,184,236,780,321,485,480,137,442,
983,151,889,654,692,447,652,215,993,331,144,262,233,248,658,350,337,461,969,
512,547,984,908,427,071,297,156,869,070,993,505,256,134,793,157,083,560,654,
433,257,311,665,290,397,245,028,684,174,088,204,478,044,892,614,162,714,695,
584,047,198,036,388,352,235,676,431,883,742,105,976,679,955,949,919,220,373,
823,979,667,351,600,059,333,469,824,057,131,150,004,635,573,323,445,796,726,
363,110,401,061,503,107,162,624,493,524,248,780,673,970,712,938,140,142,299,
906,391,891,500,323,576,221,654,187,480,538,271,043,254,502,936,560,486,249,
656,538,602,780,139,982,806,200,273,092,192,909,012,506,948,850,836,300,013,
905,970,341,959,680,254,305,961,116,426,880,096,177,195,669,646,616,505,916,
328,476,746,116,025,177,296,372,436,731,739,268,994,325,875,295,741,641,814,
225,083,345,101,805,018,107,430,239,301,185,599,951,227,973,616,404,259,642,
574,235,642,771,751,818,710,561,175,871,503,210,857,467,335,580,432,188,411,
150,105,467,076,190,929,771,936,990,854,878,735,073,822,097,586,474,803,047,
050,719,261,291,248,485,083,252,846,427,575,148,513,460,184,491,636,496,607,
203,401,256,396,122,209,080,651,282,413,968,841,913,623,468,985,079,012,997,
528,726,199,269,575,981,495,375,050,447,225,793,819,294,731,222,220,919,285,
950,671,858,124,691,754,353,699,507,025,254,462,159,932,786,184,951,900,144,
232,427,669,434,715,682,195,363,527,448,811,852,033,102,134,243,161,658,553,
865,905,080,864,128,511,644,174,348,470,625,623,800,730,347,943,988,250,564,
118,914,965,651,175,503,046,315,537,476,606,152,842,027,920,148,460,950,045,
671,228,316,954,171,103,628,257,313,324,993,810,918,919,653,582,459,792,707,
557,089,565,997,488,166,853,743,086,053,792,693,578,082,320,781,413,308,646,
355,376,881,025,146,666,948,335,950,662,480,933,314,075,368,615,254,419,590,
231,394,762,428,739,577,771,097,114,281,098,361,811,527,147,134,172,593,621,
486,653,905,922,989,963,671,799,432,046,823,691,651,962,560,855,625,519,947,
088,581,656,523,847,003,403,653,813,076,902,644,475,753,963,823,815,046,044,
379,228,310,806,710,384,343,972,395,052,750,387,415,718,463,387,652,925,743,
514,871,098,177,808,930,613,429,942,229,885,085,339,065,458,634,087,668,020,
065,176,025,677,138,917,063,759,071,728,241,243,967,274,127,791,596,839,910,
161,141,567,197,153,985,557,913,165,090,977,712,621,608,645,980,830,143,839,
691,522,671,355,034,192,459,672,688,147,717,533,040,402,216,311,008,174,717,
057,873,884,390,210,964,788,840,656,088,107,593,228,760,278,997,062,221,842,
403,381,443,369,233,222,785,695,789,625,388,884,636,272,161,330,088,039,244,
969,508,016,752,160,416,789,898,713,801,203,943,502,470,212,890,510,592,613,
690,234,255,907,569,408,936,740,947,369,411,223,101,715,519,870,649,731,265,
594,762,757,081,466,395,492,629,655,455,683,621,937,929,608,537,586,752,344,
012,661,300,350,820,903,315,653,315,371,673,012,729,134,176,489,953,651,850,
419,876,174,616,177,950,371,380,493,102,307,312,365,571,590,681,109,029,556,
629,646,290,656,656,581,699,480,645,917,853,160,424,708,568,972,742,970,151,
322,608,906,502,507,620,409,898,490,718,282,417,778,678,878,120,345,000,637,
942,401,517,482,388,848,022,726,076,177,635,087,246,992,675,527,285,266,681,
810,394,774,620,006,485,256,350,981,495,451,791,407,300,827,818,627,566,830,
576,402,118,323,733,894,800,843,592,805,784,926,758,556,669,623,243,268,997,
227,546,833,256,968,154,301,258,710,594,898,834,525,548,881,408,623,531,045,
948,610,080,974,188,482,641,579,826,663,351,361,059,977,204,134,901,594,377,
299,562,120,247,070,339,060,368,788,140,634,249,344,964,768,043,262,933,653,
063,713,353,631,287,274,514,477,656,358,342,905,102,232,597,634,789,723,711,
973,137,388,668,827,111,786,983,002,425,381,400,134,219,930,916,275,470,942,
668,955,318,469,498,486,128,659,575,528,523,038,980,970,385,392,689,570,234,
954,068,466,775,614,303,917,947,324,528,519,729,345,207,573,062,428,597,037,
377,600,912,889,327,456,958,582,322,312,568,926,635,091,096,209,906,414,324,
741,271,028,599,529,373,380,923,991,961,737,723,628,771,910,365,299,452,276,
975,907,436,028,334,986,341,059,545,079,928,435,249,434,286,830,886,402,975,
134,730,862,966,490,106,952,750,479,065,454,938,167,642,038,211,868,250,589,
062,857,551,304,610,896,782,624,554,971,626,055,766,703,079,874,133,189,965,
616,412,566,327,666,307,840,413,652,042,436,134,106,865,476,935,455,451,998,
449,383,074,852,097,890,334,787,833,487,960,259,662,221,853,967,898,058,093,
146,041,064,177,193,143,136,555,609,708,486,276,805,743,470,624,779,998,190,
968,902,805,215,492,180,355,102,780,467,349,585,422,816,100,696,805,206,301,
259,148,656,740,685,208,995,180,210,150,179,626,389,564,348,299,775,982,414,
877,448,924,674,633,647,513,171,646,150,132,924,446,265,033,858,729,015,462,
868,403,382,588,291,767,208,166,475,343,652,311,785,502,947,715,894,923,148,
738,992,495,364,272,359,708,945,768,068,523,569,066,160,499,221,100,221,264,
209,167,283,396,773,461,244,805,938,782,119,568,502,714,882,036,965,401,235,
160,387,000,788,957,896,079,419,688,273,338,498,493,270,033,097,689,473,765,
236,671,168,749,265,500,426,434,985,105,787,379,522,430,595,431,094,034,403,
877,408,679,748,842,757,903,694,974,699,905,103,793,719,521,722,492,335,234,
417,247,783,405,828,365,687,189,809,544,036,072,945,463,267,305,930,078,325,
981,725,858,516,942,903,835,200,047,454,412,490,974,361,866,399,453,020,859,
364,649,470,375,730,834,793,054,071,793,443,362,932,859,928,543,930,956,386,
110,795,311,911,970,361,202,074,902,064,090,109,519,724,416,815,125,881,832,
496,378,898,560,088,282,116,632,500,775,631,736,035,969,055,694,848,621,690,
944,468,535,680,099,648,329,953,105,917,574,114,013,829,097,681,281,007,118,
817,825,335,072,428,574,948,105,641,527,394,532,504,692,473,994,812,640,921,
330,352,454,353,079,628,651,515,008,427,107,752,461,568,462,548,675,572,816,
123,485,681,223,967,171,095,125,562,045,748,898,216,327,950,811,002,373,464,
291,032,147,161,710,630,613,630,593,880,235,925,754,539,375,294,897,479,433,
275,268,520,616,122,653,566,008,158,564,416,118,739,053,399,113,722,041,645,
121,124,313,091,494,008,698,155,790,152,789,554,408,189,612,917,819,113,774,
845,266,873,448,369,110,810,000,879,212,331,101,411,243,425,220,005,692,408,
031,817,917,946,255,925,833,368,877,458,664,287,643,575,198,534,752,313,283,
657,032,740,632,376,959,229,878,019,971,895,970,724,923,797,857,264,600,790,
632,302,025,089,457,615,277,453,374,794,076,826,645,914,383,958,902,509,900,
823,394,898,636,974,526,523,996,185,676,331,158,799,328,544,234,167,602,376,
695,467,588,744,489,359,396,552,435,652,606,603,966,069,895,241,764,570,135,
238,092,620,725,439,449,513,174,902,358,502,709,698,266,878,865,737,462,326,
884,175,402,271,355,852,878,607,647,200,067,909,278,338,450,749,801,175,218,
137,020,755,346,443,347,170,487,972,309,902,164,366,136,335,415,398,800,825,
621,237,954,205,197,873,639,081,659,584,054,533,443,430,730,277,425,873,740,
201,315,163,145,746,086,389,543,166,506,410,776,152,251,999,137,781,401,520,
011,873,899,004,700,754,552,989,207,595,119,556,620,916,553,726,684,762,109,
055,290,954,261,273,998,324,477,434,290,768,882,852,407,820,183,125,069,985,
447,999,461,888,460,167,810,121,741,544,632,621,882,161,200,041,662,493,018,
868,078,763,040,252,592,186,099,454,902,705,826,714,659,263,716,230,614,075,
508,070,865,876,090,064,923,335,836,166,085,979,368,642,687,504,684,887,485,
969,238,243,705,674,306,879,491,036,841,414,879,670,107,235,110,876,892,763,
761,706,430,777,496,084,501,464,943,329,855,511,825,952,514,261,678,681,687,
433,483,600,964,684,275,746,952,705,956,965,012,779,916,064,041,270,109,416,
356,285,087,103,387,065,864,086,628,372,270,655,690,892,616,599,033,114,908,
868,401,613,064,359,170,431,355,083,348,156,416,778,701,085,955,738,079,473,
519,158,151,881,379,337,671,429,522,195,494,994,575,493,991,742,283,462,563,
163,980,076,892,422,202,587,308,132,331,313,052,555,334,887,443,781,867,642,
045,177,239,993,345,505,347,954,662,121,513,369,304,497,488,089,827,085,095,
856,230,221,818,722,537,728,800,692,359,150,488,273,074,415,881,617,537,495,
333,782,424,341,886,808,258,176,750,061,717,748,210,687,620,596,682,573,545,
829,143,094,591,143,546,007,214,794,638,006,694,241,205,517,817,551,656,403,
164,058,476,254,276,005,899,429,276,467,125,375,320,761,064,293,611,498,241,
596,199,162,113,724,249,344,693,638,616,461,533,167,981,620,678,064,521,697,
287,440,644,975,139,392,645,794,343,539,621,830,980,677,008,578,888,211,783,
352,291,106,998,576,116,879,580,061,791,337,029,425,755,139,661,943,627,789,
467,246,643,457,996,227,114,814,275,292,803,730,870,369,598,117,112,450,495,
343,214,721,733,883,076,438,977,365,098,985,083,251,900,319,724,005,340,370,
533,354,033,629,105,805,891,324,041,005,594,915,372,688,524,884,309,821,982,
558,350,415,113,725,669,244,625,515,219,217,110,745,598,038,615,062,724,759,
968,033,772,824,325,819,551,405,278,184,668,333,148,619,895,852,066,028,936,
024,015,716,838,828,555,661,418,132,536,287,320,593,029,147,155,395,376,568,
153,664,144,826,578,609,181,231,355,878,054,700,482,990,961,652,549,501,227,
207,604,353,036,410,443,157,161,762,319,489,275,621,066,572,598,193,937,404,
620,552,867,347,452,104,366,493,612,287,095,562,607,277,340,710,208,313,766,
098,612,617,063,819,136,410,522,588,632,312,794,716,792,148,717,479,571,282,
504,519,931,133,526,482,801,827,649,965,505,091,811,834,625,164,973,027,132,
827,531,935,982,965,019,458,766,878,576,109,457,301,113,809,566,518,585,933,
907,167,496,028,954,075,797,553,262,442,244,936,231,930,363,536,078,808,384,
869,132,330,975,652,639,424,446,295,759,254,667,204,379,196,308,170,368,102,
064,028,027,802,464,647,195,437,676,496,020,329,056,956,834,633,303,126,586,
569,963,255,775,983,015,604,839,156,495,836,684,159,628,410,062,354,425,253,
904,215,413,928,820,693,264,694,021,032,991,041,823,989,288,938,329,149,222,
088,188,012,542,622,845,926,649,261,415,938,948,999,236,988,013,890,579,753,
021,103,457,201,824,585,393,029,164,673,586,843,434,435,675,257,258,978,979,
512,132,858,127,147,916,784,450,654,424,587,898,526,288,358,565,843,745,949,
541,312,601,002,934,338,345,321,465,404,316,145,777,376,709,978,006,969,406,
413,043,034,749,602,393,892,381,014,631,194,976,128,604,572,556,428,992,495,
413,437,306,011,937,302,699,292,362,348,714,849,026,458,775,274,811,693,226,
188,038,893,730,556,457,737,857,831,954,066,634,286,722,379,220,912,586,540,
399,235,308,547,596,756,335,599,085,929,421,960,022,603,597,431,253,372,856,
627,534,342,294,438,851,089,598,241,855,361,162,576,154,628,861,521,985,407,
085,206,877,338,821,383,700,075,746,227,569,890,379,233,989,712,758,623,030,
153,530,761,566,700,312,632,975,186,313,909,976,699,253,105,553,820,708,504,
150,479,104,675,785,030,479,676,293,362,252,771,753,154,762,313,713,733,563,
359,881,279,987,701,545,153,266,301,094,881,817,487,873,301,980,179,730,121,
951,068,240,565,805,611,314,935,842,563,565,370,095,577,410,281,715,162,216,
385,989,045,316,567,807,646,957,623,486,704,099,233,373,699,667,282,907,977,
331,323,381,119,010,106,767,365,731,553,316,544,775,600,891,655,001,345,493,
715,720,156,380,240,883,543,628,729,874,507,689,233,063,269,924,824,099,959,
723,143,127,718,726,347,986,153,056,153,349,512,345,820,207,281,447,714,317,
895,163,498,374,570,197,894,517,697,298,002,049,631,721,877,062,450,022,786,
394,050,821,717,757,100,495,421,130,732,991,944,902,758,237,566,578,606,229,
188,873,145,602,086,551,632,607,327,928,008,064,864,085,858,156,022,846,555,
634,783,499,269,581,825,835,779,946,103,738,363,268,084,209,089,943,769,318,
053,023,285,504,913,722,071,573,230,049,413,123,708,127,885,030,042,670,953,
287,255,249,418,045,766,617,566,258,944,723,875,941,442,537,340,372,604,528,
946,350,726,029,447,719,146,230,742,268,790,829,935,859,314,826,215,717,638,
725,842,681,049,273,286,684,476,094,767,401,641,614,654,487,381,460,645,228,
422,883,922,508,152,042,763,389,765,205,042,380,945,697,851,928,652,828,939,
839,537,651,945,847,622,680,713,197,486,953,026,600,413,065,152,157,084,297,
494,080,349,436,537,769,038,093,442,403,746,361,247,716,892,302,494,071,741,
440,634,710,877,364,495,027,156,843,861,662,322,020,010,856,500,056,480,775,
228,118,273,776,390,213,436,292,663,185,494,390,250,827,761,460,930,606,899,
069,124,042,691,096,780,365,585,486,549,356,567,718,798,477,372,297,638,884,
354,908,874,742,091,659,652,666,732,175,219,193,680,230,628,154,684,192,845,
082,189,098,052,520,147,214,544,267,582,032,208,433,867,413,909,291,840,267,
629,740,059,643,635,455,963,241,052,811,794,398,381,109,767,819,757,903,703,
895,011,839,264,919,157,689,733,949,473,291,474,871,662,031,929,552,486,533,
502,451,147,702,367,824,920,132,953,651,185,372,798,430,178,569,643,057,406,
904,197,886,047,693,974,034,598,454,321,088,853,722,643,693,246,312,185,457,
057,647,858,332,359,608,932,804,055,049,269,865,821,731,937,757,582,738,067,
344,735,255,136,516,938,234,965,046,790,789,883,236,958,433,116,641,531,243,
534,357,960,976,025,019,633,230,654,051,215,913,918,016,787,234,675,916,929,
226,908,402,976,569,066,640,949,340,990,624,745,671,010,356,210,832,102,467,
574,445,287,498,603,096,261,932,237,137,891,333,096,567,025,415,581,262,162,
177,223,104,855,070,732,289,088,695,374,267,571,027,727,844,076,111,708,621,
598,264,065,369,783,347,962,898,337,649,755,777,791,215,797,312,466,714,774,
133,344,089,245,877,980,211,065,662,355,790,084,056,315,047,485,709,507,112,
454,480,396,339,129,500,979,908,012,733,102,034,515,402,239,284,648,391,716,
172,040,973,805,714,664,980,096,772,254,200,803,258,164,849,500,413,870,616,
942,433,157,881,197,501,675,585,875,608,966,861,642,674,336,341,321,721,624,
411,777,528,584,256,760,626,811,121,973,370,546,681,760,202,206,564,009,737,
179,301,911,788,368,766,614,048,620,237,536,364,460,788,284,299,811,109,443,
108,474,316,000,036,174,008,905,091,393,436,079,422,655,155,476,839,837,422,
791,900,957,887,990,371,396,417,462,788,377,111,273,571,813,969,432,423,051,
136,219,885,359,283,506,386,176,882,568,616,152,982,793,752,547,190,945,951,
254,268,512,980,131,650,620,693,714,471,715,553,528,015,945,916,584,688,465,
209,373,090,004,546,109,308,820,284,490,698,232,609,922,774,583,242,723,415,
716,639,276,746,857,327,341,809,281,863,725,079,054,903,996,573,916,435,722,
791,114,308,473,067,267,315,749,185,994,939,559,103,769,363,573,750,105,888,
865,269,515,342,052,846,067,180,509,339,195,961,144,565,113,765,903,126,126,
451,239,196,506,864,193,794,682,823,084,324,502,955,744,627,363,748,813,934,
983,960,394,749,606,573,021,516,962,873,342,473,508,093,721,990,952,691,813,
383,953,477,338,689,318,941,264,256,529,468,018,700,313,218,743,663,638,020,
615,934,040,995,267,233,977,767,351,317,969,182,441,238,170,241,558,074,092,
842,544,555,218,753,024,807,489,683,845,561,752,134,125,921,700,637,654,450,
114,238,454,248,288,429,518,308,594,937,189,983,894,121,366,745,483,479,860,
047,373,518,072,844,309,691,893,751,656,629,276,709,473,332,380,325,776,592,
303,347,570,256,231,216,991,127,285,194,434,843,062,130,313,213,792,636,357,
098,430,726,236,530,495,366,401,460,812,285,324,795,147,366,404,883,985,500,
034,236,936,071,761,263,505,601,821,446,247,699,520,357,113,919,385,228,459,
401,958,239,491,967,533,697,387,462,594,806,008,348,536,945,006,041,427,349,
139,386,590,194,691,838,631,258,565,264,828,172,828,366,158,292,996,988,797,
864,966,977,409,778,652,039,478,283,515,538,259,923,046,192,039,366,793,258,
053,516,948,024,956,664,445,464,169,390,840,570,994,605,956,158,325,680,117,
492,273,615,414,457,128,572,229,013,554,207,140,995,618,546,689,050,108,340,
505,512,217,355,002,012,929,351,883,965,250,905,197,539,752,514,248,205,946,
911,795,194,453,180,476,677,398,268,316,557,703,393,341,134,377,086,024,066,
280,397,403,349,363,746,725,560,282,682,480,655,621,310,563,015,946,133,776,
104,058,633,481,158,004,752,190,960,270,524,620,406,347,258,837,716,977,802,
305,048,255,982,706,906,316,524,920,844,790,910,894,754,675,622,627,775,489,
997,506,433,573,838,944,186,351,834,240,398,723,936,232,203,692,606,338,800,
344,311,677,141,292,009,807,755,902,272,455,201,846,206,577,715,292,564,814,
711,714,172,165,310,772,325,242,914,035,796,267,701,217,694,022,490,656,102,
034,473,178,381,422,015,879,296,495,289,939,393,561,844,519,734,500,260,566,
204,988,377,210,085,278,178,894,510,334,269,878,081,823,177,971,533,701,781,
047,161,440,641,673,524,922,583,220,391,681,067,823,169,682,707,686,308,876,
187,405,096,215,194,368,468,663,276,046,386,168,056,766,887,547,262,918,414,
292,143,915,667,655,160,107,922,964,728,805,362,721,562,549,724,832,423,338,
545,065,662,237,065,077,493,888,554,679,695,662,871,805,491,411,590,230,002,
737,420,709,271,057,165,757,606,987,128,588,570,915,282,721,479,422,685,023,
619,932,259,985,605,402,866,351,083,013,525,943,294,807,685,817,654,124,625,
742,825,745,592,077,789,627,248,617,354,406,251,799,166,058,394,720,985,636,
312,846,732,269,322,673,360,607,672,062,190,205,102,896,157,235,264,643,124,
303,281,768,565,675,139,916,764,152,987,703,267,171,263,782,652,160,936,194,
046,578,209,192,440,166,788,737,487,212,096,027,768,491,613,555,577,699,660,
710,300,862,692,780,199,093,903,396,413,756,672,305,827,739,703,536,797,930,
432,686,504,116,985,997,208,834,865,175,756,428,837,812,429,199,162,380,943,
819,469,828,056,418,384,262,381,978,816,022,948,327,472,441,862,137,274,703,
462,057,130,824,894,185,248,364,972,540,751,535,193,936,103,535,815,557,559,
306,420,051,146,304,850,029,756,892,881,398,043,499,448,650,221,880,791,651,
672,133,138,770,356,665,706,170,408,360,057,737,652,450,356,441,544,300,072,
017,828,761,353,613,529,284,119,406,413,290,093,597,916,190,296,367,273,375,
918,451,018,607,153,467,493,171,076,288,898,683,998,718,901,029,678,015,739,
926,693,959,454,636,871,910,237,548,014,190,365,662,045,904,625,043,883,966,
589,191,307,145,513,419,019,945,499,309,630,567,886,242,664,259,994,048,917,
122,794,906,113,191,669,542,925,755,398,703,068,841,855,400,040,065,007,310,
236,430,902,307,207,180,153,900,682,319,041,992,293,005,056,161,846,742,822,
595,755,094,733,254,785,998,742,318,130,058,974,656,869,846,547,011,793,954,
715,650,700,654,777,063,506,246,953,988,973,033,611,950,377,048,468,481,725,
864,618,268,704,068,705,443,077,943,098,969,494,164,500,443,293,321,837,382,
939,113,346,762,399,002,795,186,916,593,320,796,681,503,680,748,429,585,264,
564,903,441,002,851,876,024,588,154,357,174,574,443,057,429,590,334,467,435,
017,285,089,945,202,990,092,531,361,719,545,424,415,359,501,792,308,924,354,
163,354,146,749,515,413,953,376,331,282,099,290,506,196,794,591,133,882,077,
182,659,372,639,075,642,442,871,798,294,202,968,987,749,887,365,040,901,417,
612,509,744,846,793,915,638,562,434,668,510,591,332,684,159,433,632,882,935,
801,024,296,495,571,040,555,493,386,375,497,815,804,595,610,124,234,732,108,
088,926,858,137,951,783,180,087,603,881,853,070,390,069,202,319,784,070,304,
776,846,061,189,652,944,402,243,499,272,277,283,784,118,050,801,946,903,114,
573,462,896,155,591,163,075,562,320,894,821,759,738,571,533,735,589,320,890,
532,857,942,889,065,021,929,691,095,660,118,578,588,672,109,595,215,989,358,
409,061,121,100,787,420,880,328,573,030,040,726,168,013,001,058,250,265,260,
767,700,628,376,561,914,593,228,458,520,877,153,109,639,231,621,786,219,119,
148,563,613,074,044,043,605,386,673,532,596,254,600,468,544,344,978,797,746,
621,009,705,470,917,140,366,972,251,186,622,611,294,471,634,569,137,284,334,
230,430,565,638,128,258,969,596,903,796,478,110,121,852,894,012,653,897,006,
820,381,333,478,942,809,450,228,762,448,985,700,385,357,460,096,614,578,624,
475,304,314,739,847,824,879,165,436,381,350,604,314,511,446,337,013,902,931,
205,482,341,453,927,492,184,337,987,619,809,920,360,179,939,477,090,940,903,
265,047,844,061,779,010,292,095,378,292,073,497,875,004,879,408,546,007,831,
521,326,467,345,979,968,161,270,283,182,082,348,546,188,508,327,411,412,188,
131,563,040,295,332,172,248,378,687,833,682,942,538,804,269,058,097,599,185,
308,425,372,414,614,142,085,686,272,692,539,384,516,725,352,593,209,101,267,
293,559,541,399,598,983,879,703,175,515,926,564,182,665,443,863,697,177,693,
328,065,522,908,102,910,829,764,122,968,486,316,030,250,367,331,119,398,149,
247,677,925,644,901,127,292,979,277,397,887,328,671,989,623,764,312,726,552,
527,912,510,166,690,893,360,411,833,071,034,259,532,738,834,294,354,081,728,
401,422,026,164,778,536,536,085,257,502,376,393,848,457,245,003,184,906,874,
374,051,519,783,020,982,837,574,471,529,958,601,102,598,413,008,952,563,862,
300,582,485,554,344,526,396,048,979,903,757,143,520,471,843,789,622,134,447,
013,035,667,795,880,780,571,059,704,592,212,528,435,198,024,160,775,855,123,
886,569,715,518,852,003,955,447,105,215,109,865,305,156,961,771,335,211,900,
463,113,383,488,587,871,953,405,113,830,913,751,899,107,969,986,961,492,246,
103,449,522,950,481,886,576,898,012,186,230,085,024,151,537,921,779,935,239,
405,317,930,015,249,830,958,134,233,432,696,749,796,884,123,606,127,328,569,
984,061,700,625,480,582,005,134,387,418,216,230,460,819,581,175,758,010,318,
508,296,823,151,882,687,943,149,231,113,319,938,399,978,046,896,434,679,730,
321,024,668,205,734,593,428,143,367,924,367,123,009,875,319,102,161,575,969,
979,518,298,159,986,779,797,817,173,640,797,505,678,408,096,425,319,802,488,
458,179,219,174,872,997,484,764,180,557,221,190,291,972,318,965,057,603,497,
674,083,100,324,706,177,090,446,713,901,515,337,620,180,142,785,235,277,695,
242,401,962,122,762,368,695,735,890,904,296,889,282,562,807,983,876,698,833,
917,818,049,980,106,166,952,242,531,978,349,590,538,536,682,839,183,480,974,
224,998,923,462,179,535,940,649,394,601,838,298,335,351,704,307,832,019,969,
894,570,180,251,600,037,327,839,682,762,845,132,264,151,692,965,528,290,971,
322,071,266,503,186,085,261,648,205,170,281,819,037,149,282,093,482,189,458,
498,410,962,289,290,587,735,722,291,539,640,269,186,442,685,531,214,059,036,
369,696,265,618,313,810,447,073,787,135,037,799,935,444,789,833,449,022,117,
353,975,962,476,925,588,375,838,333,161,400,626,305,445,981,752,498,623,156,
017,896,790,745,927,907,251,966,188,289,178,733,343,503,464,229,740,369,322,
848,117,098,262,265,278,306,257,226,515,462,483,550,203,136,351,695,956,765,
716,838,001,595,644,562,042,312,712,462,578,606,743,919,047,860,333,408,450,
959,861,269,106,527,020,052,305,442,226,949,267,196,510,835,047,034,665,160,
493,107,471,543,442,871,963,324,014,237,461,444,534,010,434,048,817,826,228,
056,916,984,398,238,133,001,174,836,057,949,897,304,379,578,964,450,363,316,
290,569,344,698,636,541,015,812,994,155,607,254,273,611,810,652,754,834,456,
678,982,472,161,419,428,802,767,857,685,431,384,008,090,367,273,723,224,417,
968,355,361,627,415,789,656,429,144,222,008,552,860,774,653,987,263,699,059,
825,629,916,029,311,698,871,381,773,306,485,524,552,331,740,352,794,828,456,
610,260,423,895,024,806,714,606,057,975,601,535,197,932,504,490,691,874,312,
395,210,651,731,088,650,989,062,095,292,371,297,174,498,555,109,898,728,551,
602,030,814,476,363,247,779,804,011,432,297,589,493,683,479,475,068,111,476,
516,123,023,065,845,475,689,197,746,332,556,172,811,082,976,013,714,823,414,
390,048,189,676,255,891,429,192,443,823,090,625,152,197,775,383,058,006,823,
435,332,829,225,632,649,783,338,716,342,650,209,952,261,285,174,696,445,029,
355,689,659,525,826,480,847,561,629,653,485,285,012,251,920,955,805,682,183,
923,201,341,669,336,131,559,976,405,664,831,284,678,721,124,903,805,327,916,
319,617,355,413,689,608,875,785,972,810,342,809,696,331,772,081,183,835,949,
215,500,314,004,494,290,808,163,423,699,064,290,394,366,885,117,905,551,293,
742,108,402,509,396,455,601,328,427,964,938,661,811,567,281,940,439,509,998,
942,442,245,196,678,872,168,841,359,859,283,694,330,908,089,783,877,151,039,
556,028,365,458,720,505,677,169,849,975,591,244,968,118,402,453,922,432,374,
625,119,759,694,714,096,452,193,473,497,347,755,507,660,890,019,446,276,850,
603,138,910,038,085,220,766,658,391,476,053,734,617,102,987,219,806,947,603,
052,197,364,615,055,673,000,884,920,490,106,809,822,735,763,353,323,536,461,
345,756,871,891,922,788,899,837,713,732,194,078,375,237,804,926,256,153,507,
200,711,881,619,095,522,243,116,764,535,214,825,528,249,173,238,866,290,984,
850,119,313,755,079,056,458,970,208,701,405,520,604,353,813,811,648,425,442,
709,461,492,773,522,579,822,856,945,095,345,412,199,409,744,249,277,554,783,
031,784,752,924,735,420,662,723,167,336,324,765,635,808,841,582,797,754,420,
344,367,103,802,650,714,249,992,602,012,637,656,609,047,366,116,414,464,810,
656,345,642,578,185,850,161,788,769,728,197,289,738,317,527,044,163,547,043,
995,167,156,898,907,191,727,655,192,834,452,297,550,900,487,178,404,019,513,
897,396,048,093,979,105,001,447,106,375,405,094,474,118,380,312,975,068,385,
359,671,507,030,312,940,524,516,749,689,712,056,552,852,684,420,832,243,458,
939,036,982,156,356,384,363,710,136,772,595,860,552,841,510,140,679,446,166,
374,249,144,794,261,088,938,440,832,334,986,193,724,687,806,790,991,974,860,
543,907,978,726,597,042,176,226,878,871,058,364,846,057,620,524,430,050,598,
582,521,176,366,179,087,742,641,175,952,139,329,908,159,503,451,688,830,329,
593,775,113,332,708,912,270,929,001,815,264,852,894,958,487,489,548,237,383,
912,402,788,037,745,662,839,163,600,196,794,540,581,213,775,205,336,326,216,
203,012,627,505,489,976,611,172,251,906,718,001,947,544,971,991,202,040,972,
336,284,211,351,543,610,779,885,780,986,688,634,669,941,554,585,352,121,593,
604,681,014,311,224,303,894,984,223,864,914,904,710,623,305,874,163,470,489,
581,878,849,573,406,281,748,869,091,820,387,172,786,730,472,006,292,243,494,
295,449,799,166,813,686,838,794,426,838,128,664,439,687,205,085,837,785,850,
298,236,652,616,295,772,306,223,583,109,605,459,090,279,241,191,531,860,443,
743,044,104,636,582,727,882,893,291,262,530,238,087,034,582,788,703,795,931,
162,706,941,587,994,332,181,784,834,272,994,205,724,316,367,559,348,190,712,
238,560,520,356,748,452,305,834,177,517,939,146,481,254,705,064,981,316,628,
395,365,416,795,164,512,556,867,004,362,580,685,435,515,547,383,858,311,652,
587,688,915,124,045,346,209,706,971,305,767,907,200,085,147,402,647,630,438,
359,482,411,684,676,835,494,945,970,373,784,512,808,739,284,468,641,587,023,
598,826,331,131,410,395,727,611,864,762,265,298,466,679,567,081,387,210,690,
310,650,479,306,821,868,826,665,299,502,741,365,654,688,116,520,619,118,225,
334,911,069,631,071,829,837,280,879,349,740,595,817,840,507,661,541,078,582,
077,007,395,101,422,973,559,226,621,211,176,170,177,337,315,322,214,220,277,
842,411,380,682,977,603,890,159,510,960,099,200,462,811,021,194,436,050,584,
354,081,903,648,588,750,254,816,203,084,804,607,143,580,296,183,278,007,282,
750,170,327,410,827,428,765,350,063,214,715,960,000,333,734,789,235,736,412,
815,800,306,697,411,561,814,307,031,686,087,800,629,909,525,996,033,476,262,
082,296,582,714,609,585,658,823,193,622,057,116,828,944,118,912,033,551,667,
250,017,961,102,889,332,680,108,594,611,888,430,238,258,118,690,449,257,558,
900,766,532,428,810,275,373,956,282,821,664,915,621,091,559,820,354,861,275,
975,083,737,101,876,711,176,747,795,711,722,044,895,134,968,385,102,551,983,
754,004,258,031,731,003,204,974,864,516,576,293,690,965,187,780,010,763,177,
321,490,065,483,480,079,290,016,993,558,174,661,209,905,765,202,792,886,711,
075,115,876,086,067,272,497,130,645,305,260,544,996,064,751,894,983,691,010,
796,595,998,953,697,775,267,490,103,389,540,694,687,366,632,905,014,996,944,
765,371,599,859,105,684,953,082,603,822,297,564,363,225,632,327,098,315,765,
030,984,680,124,036,237,772,208,444,209,265,512,003,490,145,298,818,319,219,
750,182,394,051,243,046,812,580,085,804,239,779,775,018,045,104,836,385,412,
509,635,137,119,365,659,177,256,336,158,514,628,960,697,656,309,981,214,834,
026,530,907,889,606,816,700,391,725,572,609,032,695,994,653,795,307,252,209,
014,597,300,311,023,200,313,078,426,272,926,315,214,288,489,289,114,124,698,
086,687,685,874,720,483,557,610,547,560,664,212,101,085,635,139,992,534,941,
156,171,126,000,992,618,634,747,847,662,044,426,213,613,474,038,284,624,863,
835,965,079,215,907,184,313,786,440,258,208,285,871,084,635,480,204,894,834,
856,435,772,137,819,970,976,236,364,973,364,090,329,171,794,611,010,167,241,
371,444,389,317,310,264,184,864,322,319,542,228,666,721,610,855,924,179,141,
597,538,201,226,406,620,632,409,410,063,548,747,237,244,381,821,006,544,957,
335,167,837,538,576,312,591,739,667,513,071,026,935,038,378,725,872,677,430,
222,896,849,945,867,641,171,378,263,716,714,133,138,056,189,039,750,409,735,
075,276,805,223,801,919,682,642,295,372,780,397,607,761,062,598,736,150,049,
913,728,175,300,922,836,246,705,701,600,574,270,768,117,300,201,067,782,958,
546,322,686,252,859,991,797,964,744,597,046,247,599,507,288,217,419,770,496,
011,581,350,248,030,901,920,444,274,176,837,557,500,842,999,762,763,008,191,
645,098,041,298,501,584,523,372,808,521,596,669,288,391,963,728,023,705,608,
768,759,947,344,746,057,594,173,207,123,046,076,686,268,959,151,615,291,873,
215,199,301,178,311,409,476,346,743,096,939,366,584,503,307,477,776,115,058,
755,093,511,034,864,613,955,844,181,263,878,902,097,665,176,512,750,045,175,
722,927,652,871,171,915,680,934,840,299,784,100,271,684,209,741,020,816,690,
093,120,298,033,150,298,169,531,789,953,177,656,122,416,495,273,669,419,595,
106,742,838,563,766,745,171,035,688,175,995,974,777,713,854,153,740,073,229,
774,830,190,307,099,943,304,319,949,468,407,456,192,513,478,901,052,900,783,
124,391,354,286,005,748,032,572,779,634,140,096,949,752,443,788,038,871,944,
126,088,478,862,555,134,400,421,422,725,700,572,885,717,856,704,320,698,405,
437,763,102,916,794,479,580,219,361,885,910,491,955,038,278,139,741,520,446,
958,525,588,023,684,999,370,147,339,397,727,378,366,075,994,105,635,787,667,
974,972,262,188,417,790,917,705,686,879,926,738,546,286,221,776,221,483,437,
531,632,108,674,572,701,693,868,865,963,687,308,397,290,118,173,917,270,282,
712,385,665,285,712,478,707,118,854,065,683,578,298,965,382,990,114,421,628,
183,445,826,242,317,765,989,279,528,337,764,800,771,686,563,451,831,745,720,
212,002,669,974,459,572,457,075,184,810,284,115,892,913,268,145,060,144,699,
740,244,597,281,590,964,901,054,969,274,497,357,279,130,011,120,476,827,247,
520,262,743,375,283,331,100,597,688,492,384,411,457,957,512,476,241,266,661,
258,855,558,340,726,036,325,582,857,235,318,364,957,810,752,663,420,552,653,
489,166,907,670,455,800,935,866,847,038,850,586,510,806,199,316,339,333,794,
323,614,639,564,009,997,774,559,599,432,686,573,742,942,198,775,204,188,177,
631,607,675,717,018,470,714,410,817,895,503,154,699,312,246,722,267,400,419,
355,194,727,182,826,046,267,064,272,094,921,627,413,193,562,943,338,452,480,
092,861,723,700,184,213,552,326,455,924,712,486,658,302,935,086,323,213,808,
651,412,115,222,337,638,128,789,750,914,592,110,923,454,455,785,046,134,170,
205,376,325,303,057,311,099,190,074,860,881,066,968,392,090,653,448,925,721,
891,123,551,218,685,344,662,422,663,786,369,942,604,782,880,643,870,192,982,
051,814,943,741,476,600,088,364,705,214,669,169,010,301,703,473,803,767,671,
573,464,026,317,877,593,601,947,266,050,387,053,441,870,495,546,193,150,529,
146,688,053,186,854,678,915,968,916,292,577,011,112,075,998,554,042,291,300,
226,197,817,789,817,284,602,646,852,032,739,098,762,756,774,943,680,917,214,
470,428,742,624,359,186,319,020,506,200,858,984,087,765,281,759,724,250,927,
812,079,315,678,328,930,866,455,529,174,433,010,659,251,991,313,828,100,910,
621,429,583,717,728,643,093,696,975,792,955,214,171,612,010,866,616,362,550,
771,676,157,245,424,514,092,233,170,426,727,068,178,191,769,427,445,846,525,
328,633,638,763,418,686,731,910,605,546,476,460,685,072,562,174,542,206,098,
473,935,224,142,636,670,439,154,787,057,629,339,320,821,109,979,941,784,267,
719,394,646,975,267,947,974,806,030,685,380,259,224,214,461,339,799,840,514,
150,114,998,845,028,630,365,892,424,787,974,630,133,629,636,696,441,334,336,
933,240,799,614,685,981,748,818,320,102,794,296,493,284,065,063,443,854,506,
875,067,462,332,394,613,713,245,227,893,863,097,004,809,622,144,728,232,919,
554,641,632,813,276,540,826,427,775,962,828,826,499,035,453,787,442,008,258,
039,520,508,435,375,681,004,556,360,112,755,812,818,008,258,129,008,147,982,
325,533,959,668,303,856,621,026,176,328,871,304,836,252,171,156,869,822,612,
014,852,054,780,095,821,314,938,640,811,663,369,736,584,372,968,596,592,675,
511,112,552,887,777,407,741,773,625,658,508,060,723,837,623,069,108,349,457,
355,564,598,335,091,671,014,144,475,313,360,218,317,632,139,072,839,043,464,
043,794,893,198,963,717,997,246,714,417,027,626,108,829,771,163,946,022,818,
644,342,925,439,451,637,536,255,669,491,200,346,655,728,651,249,572,903,019,
990,875,597,260,090,388,211,522,328,744,337,404,067,064,329,382,761,708,725,
172,991,413,336,234,961,586,172,303,171,220,882,155,823,348,663,319,593,531,
208,165,748,080,829,934,647,019,624,624,496,874,601,103,231,562,047,637,918,
563,336,622,417,367,959,249,145,058,915,406,897,905,230,919,556,461,726,748,
258,724,412,467,928,320,983,915,433,709,270,210,176,943,946,040,335,127,948,
635,623,489,068,308,209,792,937,336,772,265,057,005,616,619,128,920,522,698,
698,402,778,546,391,927,452,931,194,479,272,340,777,230,446,902,783,782,649,
960,119,628,975,221,720,462,247,765,501,809,470,680,933,849,018,017,034,378,
447,939,386,760,417,181,855,009,730,745,248,165,526,397,740,658,336,704,988,
525,357,775,790,396,750,006,306,905,558,572,774,451,669,878,702,249,810,113,
035,302,122,759,212,962,727,195,088,616,120,212,128,777,600,634,379,394,898,
132,402,398,891,033,716,408,646,094,354,036,170,828,653,998,821,303,399,372,
154,238,928,284,505,737,290,318,669,644,480,158,580,545,836,698,071,998,281,
842,110,064,558,698,951,738,169,320,060,422,131,043,599,861,323,351,535,895,
447,816,413,874,925,245,418,270,995,828,193,528,805,064,088,206,683,351,161,
925,918,068,433,695,381,307,713,371,341,748,780,938,460,280,918,648,075,906,
866,976,220,008,856,764,793,728,929,457,409,714,128,794,889,732,501,429,678,
442,249,798,218,742,328,392,556,579,375,405,553,202,630,726,180,349,151,011,
773,564,157,394,347,423,331,821,081,616,419,470,737,182,724,808,004,572,249,
399,401,470,615,595,116,267,516,319,592,604,424,709,645,515,085,799,768,111,
065,675,335,259,051,113,076,686,392,559,952,049,278,148,693,436,198,979,693,
342,719,986,550,047,279,996,938,818,605,541,079,817,876,473,675,352,255,607,
633,635,542,850,113,683,958,763,976,988,689,308,517,316,926,582,883,036,143,
447,449,294,703,736,021,175,010,030,890,160,995,544,983,968,800,198,827,081,
604,568,214,550,956,748,622,764,155,897,781,982,937,165,374,736,464,439,026,
626,352,338,107,017,554,109,006,512,717,552,377,913,436,629,458,035,398,273,
322,308,373,708,524,662,984,307,677,796,430,103,622,279,672,650,035,922,811,
408,497,071,506,373,492,085,501,608,755,591,236,693,468,070,634,573,113,538,
907,530,314,508,382,059,293,296,497,073,298,003,908,755,219,048,485,060,458,
517,658,268,544,962,336,421,093,542,589,060,253,732,384,129,191,832,554,294,
312,766,061,373,629,742,744,501,920,012,515,960,193,815,094,080,358,578,774,
969,088,440,336,794,319,931,405,826,505,237,197,358,813,145,298,505,378,954,
396,220,236,428,542,867,564,452,647,654,816,858,231,956,693,007,764,334,892,
822,475,433,750,125,235,438,102,372,039,804,679,826,424,853,294,115,043,706,
161,578,712,084,104,943,690,897,368,593,334,784,965,691,533,453,734,834,005,
433,698,511,431,038,728,850,736,486,982,346,283,195,894,234,671,087,694,470,
549,200,046,141,345,101,749,673,048,277,971,779,689,653,115,373,513,808,322,
210,573,680,691,249,949,437,155,178,350,697,814,062,550,808,178,574,463,381,
156,845,992,808,788,555,484,209,689,725,350,927,451,102,054,149,620,806,896,
128,373,833,838,585,302,170,527,334,021,465,123,720,540,903,066,889,826,402,
377,086,480,106,317,846,462,994,883,273,566,848,799,142,794,281,919,283,126,
908,202,915,694,361,413,896,851,899,608,916,215,730,211,988,794,678,811,779,
409,717,401,436,836,331,202,875,356,375,466,470,906,420,804,350,055,632,286,
383,260,864,375,872,839,961,281,881,149,439,513,319,208,708,910,969,297,973,
029,194,678,680,718,643,397,944,624,742,206,153,180,509,614,111,526,086,066,
600,019,532,756,165,551,427,847,054,498,506,994,870,147,399,826,065,627,286,
711,703,484,235,171,889,324,146,496,467,909,404,871,885,456,469,276,253,915,
644,240,682,102,955,309,404,717,585,427,430,792,384,600,647,934,094,860,113,
970,431,417,254,718,968,355,167,679,934,226,512,578,832,065,553,721,691,334,
084,340,691,941,970,544,520,057,652,682,479,606,298,782,258,540,445,223,150,
796,854,878,503,414,594,084,255,805,383,677,242,523,191,737,544,290,077,081,
210,216,813,436,052,823,776,035,261,822,550,379,021,146,799,611,984,079,934,
226,061,099,113,834,258,621,502,556,447,403,476,484,608,570,332,025,770,541,
720,278,511,277,379,851,977,608,650,488,357,357,685,273,551,425,789,790,305,
141,893,800,568,322,661,428,017,242,591,384,951,359,799,330,668,138,310,211,
920,368,344,416,388,650,739,248,054,013,670,415,977,599,337,024,353,953,431,
920,976,657,927,697,399,129,280,176,512,423,103,810,311,263,847,315,654,840,
592,769,931,602,168,187,086,139,475,354,090,226,467,668,514,452,940,882,980,
878,588,688,650,501,836,919,275,430,909,764,736,718,600,264,169,508,875,140,
794,064,430,212,807,557,542,769,430,305,292,627,672,395,670,778,321,999,680,
859,861,784,436,174,777,167,614,450,940,358,079,827,367,034,635,997,379,939,
230,214,363,856,821,620,329,134,386,757,351,258,096,341,689,120,545,419,960,
882,817,162,071,287,989,541,769,369,531,215,220,272,025,648,172,451,005,992,
985,235,861,058,950,077,947,626,053,605,551,471,143,354,172,224,930,825,795,
235,830,002,544,151,396,630,411,363,328,882,219,429,042,622,660,582,161,413,
414,163,901,801,751,528,367,007,122,505,878,995,725,731,579,886,615,813,351,
421,857,141,447,676,988,992,559,320,049,091,841,537,232,080,006,115,996,225,
633,117,679,534,947,317,260,754,786,757,926,087,239,882,462,420,867,814,039,
034,362,504,052,917,644,425,320,834,548,199,805,665,305,187,254,087,273,098,
571,732,989,267,156,581,808,133,573,998,966,544,539,179,093,330,918,892,291,
741,637,128,674,775,883,057,040,649,792,513,556,161,119,242,589,006,531,950,
158,601,306,572,268,582,773,465,241,958,386,400,789,878,654,478,110,902,536,
661,909,177,733,182,883,333,786,905,950,188,993,949,003,050,308,485,246,041,
822,425,155,788,330,937,062,121,505,581,946,613,920,473,178,949,823,516,236,
797,152,057,148,408,125,319,347,879,253,516,606,130,662,819,369,931,255,030,
736,309,584,533,991,313,430,431,074,300,398,572,357,383,298,914,733,240,114,
174,013,271,089,665,572,346,770,999,306,068,880,375,242,477,524,367,627,091,
991,722,504,337,087,720,664,287,293,805,696,406,324,745,439,394,171,225,835,
273,444,561,472,606,784,338,999,942,396,281,338,933,764,234,093,051,496,974,
016,109,603,748,620,462,642,663,513,595,208,167,076,554,445,333,143,410,471,
067,552,342,302,364,071,211,910,899,718,438,836,620,102,326,188,945,549,978,
703,365,926,272,881,501,331,992,312,418,666,446,296,167,165,264,852,673,152,
864,781,289,899,030,641,213,403,555,799,563,191,234,111,478,565,266,383,501,
041,286,350,715,136,897,858,714,565,509,426,582,951,770,328,304,731,467,625,
539,413,499,733,760,236,184,578,142,070,231,424,362,246,572,244,405,667,133,
306,178,497,273,689,362,851,911,416,926,234,513,885,899,478,232,633,985,096,
076,737,222,849,399,541,095,396,568,189,883,799,735,650,715,258,880,157,985,
838,472,325,353,526,883,223,220,489,333,871,014,664,459,272,774,849,664,399,
564,854,608,562,499,548,809,998,236,368,570,221,008,502,103,897,307,106,395,
414,463,159,879,546,062,363,010,689,765,650,589,728,732,439,652,314,437,418,
117,767,699,439,578,854,989,409,006,002,985,296,639,828,124,662,609,071,569,
789,042,355,579,842,176,054,104,230,943,175,981,292,528,542,911,797,476,679,
152,231,494,000,930,784,261,359,045,512,791,861,917,320,342,730,235,698,021,
802,476,402,537,821,653,197,196,192,510,712,852,297,874,131,718,739,717,530,
966,458,832,587,917,851,556,362,872,366,643,750,492,447,143,779,133,092,396,
642,089,963,642,972,120,444,782,942,869,052,891,762,940,322,851,557,846,452,
678,138,155,584,335,079,599,691,246,069,576,605,204,837,984,828,769,391,130,
614,010,770,672,343,655,646,809,213,312,415,329,152,749,560,525,686,476,022,
051,701,158,371,922,374,612,627,618,018,337,522,909,457,690,808,122,537,691,
263,317,619,121,385,618,241,837,803,161,683,738,133,176,214,367,994,363,274,
418,566,477,062,147,828,645,332,779,650,790,135,201,346,284,934,023,474,598,
813,325,993,676,142,518,362,939,243,246,016,283,039,735,397,254,653,145,167,
683,125,771,329,933,765,025,433,027,462,382,868,505,844,716,788,231,337,082,
381,975,177,414,816,842,049,417,620,349,297,843,233,414,997,847,880,676,218,
874,915,628,950,769,771,505,550,101,226,773,051,719,497,919,463,095,928,545,
777,068,836,706,576,408,298,013,886,511,375,194,165,286,718,703,364,464,533,
585,924,839,149,169,718,782,888,844,658,714,084,679,576,635,400,888,692,826,
887,005,200,092,761,470,389,404,498,383,805,269,730,031,714,214,170,225,510,
664,585,162,652,149,063,586,824,551,262,515,819,839,297,987,994,604,248,528,
280,987,099,659,232,169,455,288,540,507,493,022,203,113,167,377,935,327,367,
166,363,080,609,791,665,299,970,728,576,260,571,973,576,999,743,182,922,387,
278,269,176,914,979,760,009,716,088,014,782,719,998,858,860,397,338,263,541,
765,818,355,230,882,984,049,983,361,285,805,264,479,755,997,314,081,070,912,
088,669,363,586,792,211,473,730,406,771,847,990,667,697,929,037,993,374,262,
989,556,839,535,952,441,825,349,062,565,041,782,645,403,839,480,776,109,998,
290,795,926,491,591,601,887,069,519,054,702,911,395,465,783,735,187,676,411,
725,139,274,961,162,994,827,802,350,432,708,108,200,023,527,804,880,030,313,
998,075,253,514,617,284,267,328,534,201,662,151,407,723,998,122,957,565,572,
911,501,783,308,279,154,823,139,551,538,828,942,404,519,632,146,213,174,788,
246,570,049,489,918,136,164,984,729,379,995,654,734,771,423,158,286,671,247,
104,797,662,251,533,200,007,730,064,791,317,866,429,884,838,282,008,460,854,
535,054,694,292,732,082,601,534,530,195,806,639,479,398,792,005,929,166,569,
547,324,460,275,430,480,753,264,056,454,675,663,643,853,455,604,479,453,929,
785,333,305,335,924,380,484,610,722,009,726,617,684,442,250,031,657,261,363,
070,839,781,629,242,489,194,186,961,890,067,209,915,711,448,882,581,046,324,
175,877,135,728,741,711,754,745,698,250,591,328,542,912,258,773,869,085,169,
843,498,828,689,152,713,082,517,796,566,588,377,789,616,292,540,391,032,236,
256,321,864,025,971,644,432,067,149,754,051,629,606,519,278,163,039,347,392,
985,022,961,193,054,217,383,860,880,310,379,609,969,118,724,196,697,345,810,
783,076,612,663,230,353,743,039,135,718,706,687,638,711,830,357,234,453,123,
338,018,193,545,929,934,816,947,358,020,926,067,624,852,798,430,911,918,549,
006,225,378,392,928,245,259,858,847,906,597,808,626,341,734,179,501,740,835,
011,050,233,030,853,053,348,677,252,980,291,018,676,546,096,526,896,642,843,
820,177,524,515,769,005,040,494,600,330,770,119,950,339,668,307,476,932,954,
139,265,382,968,200,603,699,514,377,670,033,014,551,175,507,665,283,281,806,
958,164,547,140,548,090,657,887,458,581,553,611,821,083,746,549,280,915,482,
357,800,064,735,374,952,234,749,704,290,556,542,042,523,355,050,362,036,312,
624,335,472,681,991,508,826,236,451,613,574,439,834,793,436,444,440,679,522,
876,400,140,444,973,153,657,909,816,115,897,425,783,116,031,889,000,105,395,
925,781,488,435,792,422,390,813,573,697,275,316,610,913,026,880,493,161,270,
915,420,995,463,304,970,966,258,855,262,152,781,743,839,753,572,159,502,635,
255,591,978,963,085,317,218,214,840,454,184,371,502,014,008,872,519,063,674,
384,448,885,559,006,421,309,951,572,931,480,571,068,683,486,589,467,738,479,
726,700,221,011,322,320,271,337,706,320,961,848,755,503,901,449,153,512,201,
359,262,970,867,197,125,661,959,250,442,846,599,219,230,530,935,145,433,733,
713,851,945,852,341,846,877,490,473,109,570,219,350,195,101,742,912,351,244,
634,258,956,767,749,696,537,774,677,031,433,203,881,590,109,671,813,727,031,
820,506,432,365,191,990,603,854,154,220,606,432,248,156,995,553,729,893,567,
262,495,748,813,619,213,137,385,804,342,719,801,044,371,080,159,199,547,723,
661,287,804,687,174,896,694,670,933,670,830,031,835,862,335,170,985,701,701,
526,183,326,666,123,204,271,509,934,322,583,129,311,038,966,675,772,407,288,
894,348,341,843,430,690,593,269,114,290,845,166,279,151,227,590,937,662,566,
163,383,073,175,647,433,960,042,302,588,289,734,351,446,843,493,137,215,704,
571,772,466,372,309,500,416,829,851,002,708,280,011,256,169,960,309,649,854,
442,934,666,791,620,811,023,553,755,530,080,376,935,109,577,169,863,843,897,
365,727,419,429,563,409,913,676,037,905,176,234,084,092,890,757,371,793,817,
415,395,599,615,411,453,122,115,734,180,418,164,783,683,741,670,368,967,370,
476,167,938,459,181,532,318,820,671,715,771,208,651,023,018,771,084,784,622,
872,848,472,541,462,393,962,081,386,871,787,571,093,403,477,963,175,940,009,
640,073,268,539,516,215,072,166,712,950,619,025,769,092,805,350,697,668,403,
767,414,276,032,506,535,547,205,615,589,737,931,587,408,934,451,722,759,417,
715,249,813,380,295,343,018,704,046,721,618,513,174,364,544,349,744,132,205,
898,151,142,451,097,127,405,766,566,367,328,331,509,484,456,706,942,021,455,
290,652,644,018,935,780,773,709,312,306,049,898,432,466,742,469,085,596,709,
036,696,930,095,994,194,760,776,481,850,243,630,889,569,067,128,639,988,640,
130,484,466,147,626,207,638,452,545,196,670,619,073,372,006,578,516,316,563,
568,852,678,661,309,361,409,336,518,144,340,630,235,994,242,006,050,149,488,
735,635,233,154,934,111,704,094,466,404,395,272,658,535,304,892,824,484,845,
429,988,890,500,899,068,491,622,849,661,867,699,105,927,325,178,440,798,038,
182,073,292,709,874,976,537,217,537,539,957,366,570,978,648,015,170,422,255,
549,231,653,578,750,951,857,119,059,699,192,310,271,196,828,448,148,416,231,
243,927,795,048,745,457,437,931,534,955,254,391,078,675,398,140,716,215,833,
198,727,187,720,114,018,404,498,293,460,149,533,863,266,678,347,805,587,225,
847,793,790,773,673,215,626,732,175,023,173,404,164,712,854,349,894,846,823,
902,114,808,125,284,704,450,696,771,890,540,903,834,977,565,522,103,236,925,
176,557,036,545,333,259,474,666,602,103,169,003,240,716,835,027,541,719,089,
028,314,028,957,341,284,759,150,242,787,778,218,111,591,585,353,992,670,616,
475,902,540,731,465,112,277,915,908,776,378,883,005,177,057,136,815,865,915,
139,560,452,641,996,976,330,516,371,070,257,072,141,880,327,881,282,454,153,
002,314,713,381,875,841,341,464,872,161,211,138,107,551,116,903,871,001,339,
745,080,097,662,282,256,173,390,569,071,849,471,585,197,200,789,012,524,681,
655,314,669,319,694,131,757,892,919,814,918,039,333,507,083,480,380,926,839,
391,687,855,494,300,702,808,586,884,233,862,373,718,874,457,625,741,309,889,
826,115,984,999,162,847,957,800,377,452,184,935,098,660,769,558,683,905,749,
976,845,959,064,472,022,125,747,526,454,582,078,016,002,569,672,260,089,194,
154,868,811,673,866,566,062,912,405,569,696,179,602,395,439,234,876,030,228,
575,061,967,311,006,287,459,255,058,796,657,621,809,811,443,607,407,789,135,
700,617,829,337,324,832,670,316,465,879,193,725,458,545,555,422,367,905,860,
558,179,854,600,637,185,741,597,269,970,973,062,153,206,734,286,706,873,099,
366,229,827,122,907,221,255,028,431,933,512,800,284,648,494,679,535,027,513,
859,961,644,488,119,555,257,707,644,590,004,041,070,061,662,774,796,690,999,
082,166,886,944,606,047,165,758,835,563,055,972,002,711,066,086,823,828,626,
251,438,496,286,352,845,474,972,653,688,758,931,471,314,502,858,140,912,252,
265,925,655,088,895,976,748,879,983,999,236,298,756,576,507,295,479,679,228,
020,030,373,268,225,767,418,429,039,555,362,972,948,374,356,570,642,572,791,
301,158,677,021,696,756,440,150,745,415,206,053,914,013,268,430,661,494,976,
890,356,093,453,680,139,714,775,866,805,597,385,048,708,531,548,522,795,601,
283,386,824,252,944,586,971,184,483,996,367,363,542,709,788,916,124,575,279,
305,058,059,620,278,734,320,086,748,906,180,703,553,043,639,728,086,534,056,
269,966,598,417,537,969,023,823,396,674,663,085,558,109,866,367,727,287,133,
340,372,424,563,227,819,761,558,769,356,096,265,660,354,283,248,273,775,836,
106,885,696,487,883,641,316,164,316,708,174,102,025,190,954,087,367,626,139,
073,740,102,640,881,556,134,608,795,013,735,792,023,784,047,851,259,421,589,
044,975,379,803,495,621,130,288,862,080,406,295,072,008,124,236,507,225,044,
722,831,083,829,188,290,571,684,627,349,043,318,522,637,895,451,101,532,861,
080,248,563,250,535,406,614,072,744,622,359,365,191,406,726,174,614,493,034,
030,497,448,019,726,802,886,797,960,361,349,156,165,660,669,965,018,179,180,
430,901,061,697,617,011,961,162,253,819,960,639,697,274,521,935,068,780,412,
362,052,631,950,675,274,946,811,211,533,190,135,002,056,919,379,712,417,922,
663,105,972,212,768,782,832,276,077,556,343,853,820,419,547,319,969,210,845,
596,085,163,467,637,361,696,877,308,558,280,872,896,126,151,618,028,402,333,
742,847,557,930,675,508,199,293,674,368,504,327,590,941,426,976,406,455,314,
140,298,937,001,118,338,712,197,780,926,125,119,544,406,147,925,162,398,967,
648,999,159,484,812,767,572,276,760,035,873,337,100,605,426,368,122,196,105,
377,364,102,587,845,048,163,012,685,484,502,722,463,955,666,380,608,773,530,
118,544,328,422,055,947,442,231,828,925,618,737,061,070,967,710,449,658,880,
303,628,934,027,660,705,846,564,729,731,625,420,290,155,674,453,014,460,976,
699,315,675,616,417,267,413,670,420,109,792,503,661,258,240,073,639,004,165,
821,765,174,759,671,790,641,598,296,550,887,289,608,732,365,769,582,564,486,
463,063,536,829,639,666,294,263,868,099,877,723,213,643,933,154,080,206,559,
825,608,756,778,979,471,669,266,400,731,287,232,509,948,460,373,859,112,710,
937,063,742,365,586,743,696,083,962,299,386,440,129,433,172,730,695,962,704,
769,392,234,045,772,629,284,488,907,946,651,494,433,268,655,528,099,597,159,
816,196,108,462,758,194,048,220,520,212,562,243,155,659,926,205,517,982,538,
392,607,150,682,546,213,799,339,655,344,749,471,694,335,203,485,915,421,481,
308,762,878,666,280,797,542,727,241,263,241,434,050,101,159,142,535,509,385,
362,358,403,309,019,023,655,721,987,771,906,781,834,718,763,336,149,563,858,
601,545,737,607,780,208,854,369,452,097,230,659,576,829,657,218,103,894,991,
864,709,058,143,891,958,269,357,637,842,068,250,143,758,324,294,309,370,855,
300,877,533,984,775,890,181,368,301,034,090,966,988,524,232,540,652,979,724,
100,096,763,234,936,700,247,970,631,753,021,651,240,655,557,799,049,956,006,
481,996,570,261,757,793,260,798,401,277,485,856,516,423,448,290,820,599,506,
903,074,015,981,859,596,557,323,085,168,624,596,697,421,009,838,495,976,424,
628,302,448,787,173,133,423,578,150,759,280,022,642,447,784,332,976,571,978,
744,327,530,999,611,510,278,323,871,533,326,877,305,768,487,131,180,321,045,
772,188,980,040,248,748,478,848,243,925,342,220,110,705,454,376,885,782,182,
270,083,172,020,713,837,186,061,342,922,202,955,318,351,664,272,047,194,944,
471,565,898,794,731,808,040,368,981,150,284,485,984,347,970,115,324,668,960,
626,220,111,950,331,873,570,835,712,154,811,806,717,047,000,698,267,856,512,
591,576,377,937,978,884,901,972,550,684,065,030,973,635,058,904,028,580,117,
443,801,271,354,681,597,428,403,029,683,738,087,567,438,035,333,651,573,220,
549,182,736,315,047,601,314,765,719,029,546,703,040,422,484,731,437,097,447,
955,110,432,953,288,834,535,147,800,878,472,514,100,281,795,684,879,517,928,
437,351,154,633,920,292,344,925,855,872,135,519,821,348,089,714,765,483,030,
107,734,368,993,620,462,352,991,601,137,016,089,888,635,745,993,978,667,765,
757,047,501,774,343,937,305,851,427,991,693,256,081,383,030,108,181,824,078,
455,320,008,098,819,700,944,298,705,455,479,018,904,126,359,363,378,195,573,
863,227,306,799,445,550,879,740,911,242,228,246,470,884,149,395,911,722,844,
196,191,971,572,113,762,328,149,909,321,831,199,611,954,419,120,325,327,695,
357,099,415,434,691,012,341,061,584,686,108,429,158,904,307,158,291,918,497,
383,994,255,011,016,110,957,010,741,211,813,672,841,346,495,975,011,504,922,
990,817,662,978,485,013,793,458,991,344,196,093,954,704,538,454,555,383,055,
840,444,610,738,392,292,236,039,019,721,335,160,461,625,124,624,769,624,734,
565,473,697,351,831,833,066,529,073,089,086,953,196,467,991,529,787,262,015,
881,575,718,814,727,599,198,666,652,472,053,160,692,357,210,472,862,668,908,
893,709,171,679,392,349,383,888,337,433,775,711,412,295,267,315,766,935,208,
292,523,039,449,497,848,914,781,660,558,672,170,271,649,512,297,543,889,136,
680,666,135,702,759,527,957,684,274,663,408,809,028,752,057,110,047,416,981,
837,232,107,283,545,671,769,088,778,834,987,592,528,396,863,772,961,244,809,
129,249,611,052,979,307,473,800,937,236,001,577,991,627,335,090,740,895,674,
736,239,199,014,233,608,307,591,775,363,431,698,661,306,929,610,387,148,491,
245,450,751,394,453,559,660,435,282,728,350,039,246,832,705,305,539,577,753,
926,192,701,715,132,627,946,649,041,439,604,592,582,092,324,912,490,703,759,
594,620,688,121,848,837,170,968,875,799,648,682,618,622,546,920,816,912,892,
301,534,084,423,759,738,440,677,981,653,658,716,407,417,527,336,607,461,192,
705,950,125,843,905,084,742,514,158,704,473,723,963,702,903,939,908,129,967,
220,099,575,512,997,299,714,634,896,668,510,022,380,430,294,030,824,007,732,
109,061,940,448,801,545,287,614,561,213,103,847,915,565,068,224,831,199,435,
627,808,439,271,914,564,104,057,232,790,574,149,190,095,038,874,032,559,036,
769,609,116,625,043,800,863,168,759,096,591,722,808,562,109,899,478,240,027,
923,139,669,807,324,766,365,418,639,422,750,500,136,489,004,722,782,840,420,
862,809,893,805,673,390,260,429,043,663,614,537,380,181,690,265,211,328,819,
761,356,090,090,561,987,765,509,178,045,919,697,572,384,836,151,741,564,802,
463,332,118,374,586,983,376,508,883,070,022,243,467,384,028,081,518,194,100,
182,051,797,380,503,199,965,729,589,616,606,686,778,585,770,793,185,502,645,
386,451,720,820,197,368,064,266,791,318,554,367,946,649,600,139,089,975,131,
038,836,425,356,853,413,388,339,647,495,433,425,130,562,549,302,104,777,834,
914,596,020,875,245,111,789,402,480,714,470,457,230,152,074,213,510,814,640,
503,863,468,535,311,381,948,562,480,528,079,586,641,775,282,612,841,787,215,
976,710,936,742,116,878,307,824,064,149,481,630,863,455,093,559,468,207,833,
352,362,185,610,680,486,154,152,321,972,407,238,595,905,065,409,515,009,359,
911,348,184,500,014,728,703,409,694,755,166,752,943,592,303,193,458,580,519,
724,888,296,648,117,304,956,000,335,109,239,966,318,769,713,848,284,768,184,
664,045,723,107,410,261,363,433,431,526,631,803,615,284,932,987,161,478,248,
976,859,374,023,292,094,483,156,259,783,136,397,025,980,193,660,527,402,816,
852,896,036,893,909,320,526,802,894,215,541,192,560,929,368,856,264,076,362,
321,761,584,326,469,367,941,408,195,964,232,845,542,317,552,681,622,571,000,
832,730,140,546,950,893,835,710,396,883,493,993,121,080,789,417,887,389,558,
954,504,016,146,817,966,963,873,532,605,067,971,658,315,732,634,383,988,102,
113,038,677,976,690,916,318,934,298,314,242,636,017,916,738,825,383,412,855,
267,620,870,383,746,425,001,869,670,510,410,746,657,597,718,555,958,946,075,
376,827,616,069,662,456,018,573,115,075,133,278,797,115,853,406,844,379,482,
196,754,240,150,086,299,972,357,066,823,156,860,499,366,275,835,671,120,646,
391,058,323,962,885,882,626,461,242,156,214,846,324,004,904,656,919,690,770,
192,278,338,768,341,514,552,820,333,376,037,634,785,981,854,241,989,349,051,
266,711,251,660,795,849,601,688,215,764,398,363,991,693,456,314,656,307,039,
257,181,222,326,374,660,599,492,246,053,598,138,592,750,752,683,474,758,537,
928,444,788,216,627,737,430,284,027,716,888,053,179,254,527,243,993,053,558,
567,797,800,785,371,158,119,660,398,731,708,471,765,168,151,430,439,358,605,
237,480,021,465,991,970,190,473,467,575,183,402,997,206,023,400,400,055,080,
088,705,943,841,611,465,068,429,278,739,057,679,250,280,373,836,018,621,907,
151,154,353,834,740,451,983,834,431,008,091,241,564,208,573,868,709,843,512,
324,386,230,753,881,286,455,463,342,587,168,130,798,588,479,340,742,921,640,
491,754,883,249,398,978,288,489,629,904,967,951,442,841,681,091,502,340,131,
387,064,891,375,661,004,742,842,083,606,420,239,390,644,383,338,973,246,604,
013,374,183,885,346,906,111,311,542,215,061,959,516,651,461,078,418,776,278,
023,499,813,838,523,016,502,717,426,172,258,898,606,832,911,092,557,552,285,
330,561,633,777,793,159,354,295,952,407,235,121,453,325,218,220,151,303,505,
917,201,390,950,492,065,622,750,431,346,634,851,966,744,133,378,238,791,344,
934,185,856,619,498,570,712,814,398,855,597,260,608,739,738,457,096,109,989,
506,022,179,349,649,863,948,519,571,338,218,770,156,413,801,537,223,399,626,
299,196,327,711,226,520,872,857,223,766,159,274,483,296,290,088,488,539,671,
648,017,690,793,303,394,191,740,679,297,688,399,255,260,103,105,930,722,938,
710,745,502,824,082,398,819,006,854,962,234,523,739,826,619,646,260,297,860,
010,514,649,536,950,734,932,344,906,569,925,509,529,560,630,948,932,597,586,
920,865,208,327,364,671,266,055,539,570,199,493,686,435,356,505,144,812,293,
959,991,376,468,972,388,450,901,596,786,902,661,365,299,776,891,271,473,384,
693,878,275,397,084,869,457,698,696,866,771,723,855,789,698,034,313,439,791,
062,050,492,895,332,400,798,763,739,544,288,450,206,270,396,178,995,206,715,
913,804,182,176,774,422,182,297,599,586,857,087,321,365,409,515,703,279,047,
713,832,326,155,460,677,524,281,402,132,072,648,644,090,156,314,843,529,699,
323,514,101,280,731,123,715,396,658,157,946,439,212,191,412,128,467,791,036,
510,320,872,821,485,774,070,373,644,748,382,636,189,035,897,275,335,926,130,
867,876,932,666,776,696,788,746,447,660,568,419,909,266,598,643,734,061,124,
663,914,764,703,581,237,976,232,238,746,100,158,690,301,197,174,360,211,521,
036,552,434,535,078,521,471,399,761,592,435,035,822,043,367,785,808,861,762,
677,754,739,358,605,163,987,783,284,720,787,415,388,486,674,744,017,677,298,
285,525,895,865,666,386,698,198,287,704,180,198,146,186,930,327,099,209,557,
017,761,525,532,776,712,447,805,710,621,785,135,640,100,556,768,854,820,261,
935,070,828,467,029,230,589,789,349,189,044,650,516,455,743,953,333,367,969,
155,307,291,621,846,765,896,026,369,124,268,952,764,133,335,638,773,693,277,
831,854,192,931,684,366,214,973,445,044,992,463,393,380,403,287,233,716,441,
023,635,175,714,884,109,557,889,792,013,569,692,797,074,076,676,720,184,072,
992,899,866,978,912,860,623,799,391,355,301,037,865,627,542,376,533,027,656,
208,631,331,421,518,176,565,182,800,406,513,380,619,625,524,132,152,092,586,
397,882,193,298,528,910,966,785,610,570,909,582,000,660,721,066,865,180,689,
943,141,234,523,618,226,614,852,151,057,417,950,945,591,177,586,886,042,309,
367,155,913,618,086,668,412,764,816,000,712,510,480,453,891,417,342,375,399,
772,930,098,130,115,523,474,165,335,662,884,540,357,468,642,926,744,113,786,
540,487,227,893,136,823,187,788,957,480,847,673,942,042,503,922,078,404,910,
915,341,200,532,211,893,021,614,277,228,131,149,743,481,950,415,054,690,869,
562,054,467,426,437,568,452,156,985,770,444,070,643,727,260,093,990,341,569,
659,654,449,467,285,130,123,447,709,360,413,491,130,212,019,038,271,463,023,
400,371,935,450,827,388,170,753,627,597,496,409,984,751,974,027,365,982,478,
978,784,164,679,599,666,904,973,728,203,552,153,507,524,506,243,646,343,962,
460,556,297,821,428,662,958,868,694,468,205,521,324,550,798,489,679,626,386,
507,450,706,603,848,386,954,897,392,985,921,320,699,172,777,221,659,072,749,
874,215,673,469,114,897,430,456,614,588,737,488,780,345,059,194,247,509,778,
069,750,498,772,184,284,558,760,085,707,332,324,975,816,175,998,103,764,284,
097,680,248,007,898,187,262,874,690,362,245,136,920,984,856,916,448,360,350,
953,995,138,443,251,197,760,264,051,542,974,339,080,816,227,880,714,227,987,
332,709,593,748,457,656,609,466,014,347,072,798,085,572,130,515,568,240,650,
976,166,503,623,458,854,950,965,350,877,794,790,160,801,249,425,841,485,722,
870,014,842,800,663,524,379,213,083,240,908,011,944,514,355,579,137,556,749,
248,378,941,314,713,569,069,178,019,941,427,721,785,271,259,449,239,572,656,
383,518,055,094,183,394,112,503,068,689,760,125,648,370,673,520,753,932,892,
187,476,790,187,238,995,132,177,034,797,641,505,800,633,828,363,337,363,657,
572,950,715,540,583,426,853,550,897,304,509,067,483,136,311,725,308,502,706,
344,924,559,973,088,602,525,218,030,560,331,765,421,901,632,811,102,472,242,
482,457,385,582,219,646,389,379,432,042,691,748,005,936,548,381,697,744,936,
157,526,443,462,552,316,310,890,361,232,627,556,631,376,273,716,890,461,463,
444,805,391,100,490,556,047,367,217,952,652,516,561,848,130,577,111,501,043,
268,427,416,618,458,076,530,367,387,326,933,116,721,805,293,551,766,888,875,
003,069,160,057,493,196,534,567,886,524,583,980,261,059,336,140,986,119,371,
671,678,222,216,990,939,729,710,604,254,208,958,651,756,449,370,187,681,714,
840,792,818,268,326,390,074,286,117,973,700,101,350,590,798,471,915,526,956,
211,260,318,207,546,510,661,997,172,238,286,685,387,631,963,949,914,834,456,
427,432,174,349,429,914,966,098,209,309,892,095,145,860,017,094,052,008,072,
313,153,587,530,749,992,750,806,314,414,970,046,901,421,070,233,826,648,979,
100,462,431,476,578,811,452,471,468,338,492,990,535,982,313,029,972,887,443,
982,898,737,397,231,148,288,092,506,537,362,495,691,653,792,666,661,402,419,
728,792,222,874,369,063,441,667,675,107,218,102,876,529,667,516,335,348,837,
593,910,539,619,371,224,582,248,301,773,511,888,693,171,221,781,849,182,075,
851,364,142,947,195,683,577,956,604,856,736,641,148,588,020,097,439,395,337,
684,549,204,206,729,001,337,006,956,591,825,458,500,758,840,901,890,632,623,
762,268,702,257,936,032,319,417,737,464,536,181,506,595,272,394,695,046,462,
938,088,685,670,315,124,627,624,749,357,270,758,636,681,438,375,954,234,455,
883,773,843,871,290,703,457,086,510,697,944,953,497,904,116,842,400,011,423,
685,306,279,957,786,429,672,568,595,456,069,952,557,604,325,549,069,493,623,
739,777,224,375,891,499,123,513,331,024,264,964,553,963,962,146,148,994,333,
186,873,896,100,645,631,434,209,071,818,118,911,357,141,442,432,997,166,786,
342,597,066,869,327,999,199,983,554,345,690,693,406,641,143,341,818,240,551,
263,229,777,018,416,120,653,765,654,681,186,048,431,753,002,131,441,773,242,
717,745,129,469,067,270,892,079,616,177,648,688,094,085,705,295,272,364,201,
297,350,973,374,821,434,727,075,199,366,828,956,491,151,917,788,319,521,936,
799,367,847,057,752,793,866,470,508,955,699,033,049,194,320,966,250,123,135,
996,897,181,370,700,538,467,336,019,503,688,173,783,799,230,393,849,993,828,
146,450,968,923,747,900,404,901,181,163,401,299,759,868,897,554,986,779,491,
278,331,384,702,207,492,538,905,439,172,854,605,021,759,936,294,896,114,881,
880,108,799,814,088,934,018,420,421,717,843,698,116,132,990,139,434,865,909,
042,682,114,933,700,372,835,410,819,015,511,422,712,875,944,252,511,407,246,
055,569,900,192,641,570,654,004,856,185,202,277,227,990,041,568,594,099,561,
120,715,341,274,427,478,852,932,785,006,845,555,456,564,341,493,534,534,398,
927,273,019,459,007,587,699,776,132,141,700,884,306,824,719,947,970,527,731,
819,226,952,330,749,841,371,952,293,238,853,830,980,129,687,157,465,658,129,
422,398,149,853,590,463,703,819,084,986,801,056,699,640,119,624,449,972,511,
246,017,576,407,779,790,197,979,483,088,062,730,309,048,197,947,949,066,143,
759,693,154,765,714,727,802,659,856,040,960,839,772,100,236,815,668,019,415,
609,100,173,421,376,294,302,953,572,207,801,915,509,232,518,320,072,701,670,
058,156,336,521,398,603,785,075,952,864,131,406,261,428,682,757,324,943,809,
354,158,606,170,052,801,031,640,747,021,429,336,683,649,185,611,570,907,816,
185,317,489,556,778,295,022,216,571,216,224,881,958,482,530,960,880,850,334,
081,946,191,637,850,216,901,313,346,076,437,063,748,613,993,144,285,446,222,
362,927,899,589,330,017,161,369,156,933,975,737,205,937,620,774,954,380,875,
412,575,660,341,591,036,470,766,573,542,973,935,480,585,782,265,903,356,153,
991,841,292,822,146,084,323,002,075,416,045,153,099,317,511,511,420,244,775,
853,831,090,022,363,815,351,466,455,537,832,599,327,948,593,129,413,734,997,
425,389,905,063,311,538,999,822,151,272,073,746,203,595,864,347,901,049,798,
221,974,050,263,660,761,225,215,385,586,229,506,854,365,202,859,747,665,356,
594,604,238,602,162,683,962,333,627,197,262,161,449,431,579,087,127,057,090,
422,202,749,481,155,629,743,823,970,560,790,338,587,012,384,365,040,703,541,
396,597,496,943,151,006,831,179,518,895,263,395,960,516,604,682,471,218,528,
733,541,751,034,416,158,719,138,416,701,213,541,155,574,643,150,348,697,244,
098,630,322,443,989,460,437,449,453,632,184,552,346,287,013,734,741,291,783,
944,404,914,777,663,870,249,193,327,599,706,185,839,594,582,644,645,209,891,
931,203,514,463,981,814,017,463,168,462,196,789,206,047,397,065,008,250,111,
138,811,347,565,675,832,148,186,299,174,907,942,815,499,217,126,098,918,879,
420,126,153,287,786,839,227,808,545,282,937,692,890,805,021,751,248,329,249,
392,517,147,166,355,105,782,291,272,086,575,811,307,051,227,185,284,544,370,
647,749,891,153,114,900,176,438,529,730,411,552,028,102,662,624,597,186,615,
099,237,346,403,773,216,995,709,371,959,214,324,329,127,475,954,141,708,801,
186,543,360,111,142,944,307,180,074,965,080,019,644,761,252,032,998,339,023,
787,595,494,983,913,273,384,812,347,519,224,105,164,828,720,263,652,765,552,
770,506,810,973,182,297,500,392,701,034,429,794,381,500,787,645,240,201,971,
117,896,731,317,274,904,758,010,181,329,378,377,502,431,412,968,806,020,609,
718,264,372,306,789,666,612,194,231,380,801,247,528,329,279,621,543,236,631,
609,650,100,178,232,836,442,270,141,476,073,235,162,506,734,656,465,122,887,
783,686,010,017,459,835,348,005,980,338,435,982,221,751,722,025,781,561,432,
381,050,629,509,777,775,954,143,750,013,118,358,944,930,949,695,324,241,584,
985,613,271,958,778,570,541,514,776,699,232,188,109,021,500,243,887,608,867,
513,485,622,697,046,103,194,300,971,681,940,157,842,581,978,397,812,723,792,
061,673,646,014,633,408,879,191,273,930,271,191,112,814,799,495,986,811,198,
240,183,017,083,284,735,858,655,892,379,631,860,831,966,315,274,819,529,065,
892,481,737,830,609,541,406,303,962,696,430,994,508,526,418,742,290,732,508,
988,085,085,484,765,362,563,032,635,809,937,991,120,547,268,828,423,053,806,
637,492,354,109,319,223,041,363,647,633,996,447,982,031,745,982,493,603,499,
450,884,599,759,645,428,817,305,995,292,950,486,641,348,812,267,452,618,663,
012,136,571,165,538,559,307,221,009,092,556,805,776,122,441,276,641,335,624,
445,610,777,349,249,907,438,796,069,575,414,966,666,166,607,454,828,357,374,
602,370,172,476,845,208,207,797,090,645,945,508,937,498,017,915,681,535,492,
530,481,377,621,202,249,269,044,928,091,135,922,107,309,039,397,180,625,329,
506,260,666,701,994,250,139,131,411,751,909,374,288,964,307,018,947,822,135,
367,295,625,995,901,166,776,348,126,836,587,869,858,442,694,011,306,772,068,
366,442,258,991,807,525,064,425,812,594,408,061,454,665,905,000,253,978,568,
087,213,011,639,431,833,725,139,388,962,760,274,678,752,095,820,506,474,970,
225,461,204,458,657,384,867,003,117,085,881,123,576,825,966,758,124,519,378,
173,720,047,170,889,067,779,379,590,427,190,209,308,217,345,803,545,799,543,
245,068,855,266,661,025,658,092,195,782,831,750,446,059,623,619,865,996,756,
603,514,443,386,083,647,361,769,032,346,554,731,832,779,144,210,395,510,748,
818,410,978,227,275,795,999,672,912,037,297,307,802,667,407,232,489,031,643,
915,114,204,746,728,938,864,680,427,591,490,475,916,780,918,334,035,368,825,
371,310,188,438,448,887,331,132,381,131,847,236,871,620,523,010,120,250,280,
389,935,278,998,921,296,999,225,232,024,827,752,648,859,507,117,317,815,507,
673,408,732,116,956,015,659,568,901,569,678,796,896,914,683,075,953,532,328,
550,113,609,079,598,245,821,313,470,874,896,408,314,142,404,094,583,017,623,
395,876,934,714,806,318,029,848,371,521,665,964,238,034,676,821,300,636,140,
062,303,614,990,239,649,706,469,216,306,218,291,372,598,757,820,170,432,229,
844,094,302,480,839,965,466,212,348,124,762,635,946,970,444,088,934,237,042,
384,712,997,644,128,527,940,585,837,157,356,556,628,109,488,994,726,029,858,
192,016,231,910,940,227,951,846,157,802,052,284,588,654,688,990,254,104,571,
191,776,825,057,558,319,776,810,715,320,989,621,163,563,644,348,137,958,631,
266,672,136,005,683,725,136,755,891,532,500,855,886,889,740,882,442,249,699,
123,155,164,593,624,413,746,147,651,286,065,289,433,610,101,577,751,126,926,
411,100,260,169,154,356,104,185,948,732,654,039,362,096,455,312,294,842,027,
320,927,312,984,303,788,565,442,582,606,629,897,074,427,706,807,336,500,102,
744,299,125,853,118,167,948,321,564,961,291,514,174,811,747,469,047,604,689,
919,892,539,818,204,149,146,138,319,539,072,737,577,415,496,797,093,201,977,
348,466,206,352,345,947,489,578,414,419,729,178,972,621,342,116,843,375,166,
146,032,925,770,451,987,307,554,490,201,956,143,081,137,056,366,757,364,737,
566,186,519,759,297,566,785,996,036,956,868,356,927,454,765,153,824,237,801,
038,428,606,457,424,107,440,767,720,078,459,066,815,741,692,141,466,346,926,
939,239,571,998,373,007,887,686,666,922,639,677,190,862,554,266,995,707,552,
943,142,138,499,197,430,545,722,683,190,681,487,212,134,534,056,050,489,991,
163,986,605,299,528,764,478,183,145,761,491,289,789,732,641,541,426,481,776,
249,273,237,164,618,840,709,369,594,188,682,203,053,081,767,389,793,327,729,
124,591,721,419,099,069,500,459,228,566,186,231,035,283,838,183,004,799,632,
818,087,716,594,529,939,502,292,755,580,024,989,126,340,175,119,564,914,427,
067,082,398,902,167,805,196,592,383,632,011,364,975,697,877,764,149,140,065,
511,651,897,634,907,768,685,297,069,421,103,800,280,682,966,193,572,158,643,
654,364,707,807,753,958,015,885,405,712,448,801,478,070,847,381,856,803,307,
216,520,698,239,949,641,605,265,475,914,988,014,299,038,373,568,164,740,084,
713,290,445,957,700,917,660,591,654,835,825,074,494,069,705,397,877,627,603,
660,364,606,304,568,499,098,533,553,262,428,989,644,196,928,452,644,904,618,
509,249,247,263,701,876,770,834,270,588,615,506,833,190,176,771,217,161,222,
138,089,671,985,624,343,998,380,113,151,111,901,586,905,863,505,560,794,231,
410,089,164,348,643,497,448,551,464,284,517,642,018,706,575,985,203,513,841,
950,944,674,683,685,313,431,902,217,238,195,212,451,318,182,388,868,816,468,
576,323,609,242,584,545,181,944,028,492,917,776,615,340,732,313,993,687,732,
793,491,290,560,869,386,163,341,218,807,203,197,579,534,746,450,766,802,615,
506,863,392,759,695,496,127,572,437,789,637,303,816,700,533,120,938,216,069,
149,143,997,695,239,282,513,635,857,867,268,417,249,386,222,029,617,127,711,
307,213,267,777,989,821,023,099,745,980,247,506,612,561,975,091,848,591,808,
939,697,423,839,319,987,916,115,155,776,311,484,739,797,450,273,064,059,991,
299,932,977,266,172,403,407,744,830,992,147,275,782,853,910,193,713,098,944,
805,902,057,051,556,420,527,686,480,891,758,399,752,647,435,789,451,054,481,
782,218,882,196,241,388,548,913,995,108,537,554,653,710,073,451,115,335,347,
668,195,184,420,187,161,509,519,943,149,340,707,880,609,203,828,744,427,764,
732,097,854,686,668,913,045,554,912,753,547,487,446,436,524,285,750,963,760,
857,945,659,960,681,223,743,643,649,932,163,531,034,078,998,437,269,453,293,
924,490,725,354,544,288,901,993,494,077,536,737,905,753,238,644,488,641,347,
032,295,354,011,497,416,888,970,438,664,760,326,744,833,223,320,614,854,076,
635,531,619,585,124,635,196,572,999,952,094,980,714,934,799,929,458,538,982,
770,615,027,624,401,324,191,256,497,970,676,532,689,677,394,161,102,825,761,
759,687,896,007,911,653,969,691,134,805,943,584,306,617,057,620,410,326,626,
424,897,354,050,407,510,018,174,550,921,545,754,193,165,589,260,182,019,766,
201,699,684,897,917,299,264,461,183,126,018,755,844,462,848,605,947,380,474,
424,977,830,255,910,876,103,083,947,414,622,060,970,935,645,108,827,201,755,
021,455,033,762,709,045,679,907,384,292,220,566,459,829,945,829,441,604,823,
848,195,171,731,952,215,822,524,096,028,540,666,760,541,364,672,654,407,578,
704,844,448,365,780,922,457,687,713,862,510,864,652,849,903,960,898,492,831,
417,709,039,774,345,249,345,537,757,374,073,409,663,253,561,495,329,221,056,
491,009,600,518,963,205,845,411,461,035,743,245,389,284,228,705,779,906,546,
540,392,636,776,045,053,474,890,301,342,566,765,027,941,961,694,754,165,014,
908,830,248,713,575,575,917,855,397,263,113,286,939,699,788,448,625,425,432,
867,434,117,269,585,534,237,723,656,160,492,809,187,349,672,478,286,941,349,
672,817,979,441,050,416,025,687,511,226,769,992,243,402,037,156,447,368,707,
251,064,629,772,220,320,958,572,932,409,283,955,182,754,840,720,315,239,735,
119,095,830,782,072,160,428,165,704,719,684,661,098,269,128,236,808,910,973,
899,639,818,218,177,808,412,712,840,264,684,745,062,117,005,360,626,257,582,
852,227,890,670,748,367,520,395,919,502,344,097,337,817,633,671,957,588,759,
765,749,625,520,784,832,030,829,205,514,326,210,503,258,575,161,802,669,634,
670,754,050,226,487,526,275,304,846,008,904,205,704,882,587,668,697,641,311,
760,990,801,393,792,846,341,930,200,063,852,117,301,874,196,282,640,777,527,
835,688,349,921,480,606,834,950,016,837,328,523,826,957,047,884,662,687,577,
061,728,472,968,062,571,321,093,707,619,555,808,450,477,032,124,315,370,590,
029,091,783,142,471,815,935,378,394,096,865,069,026,255,083,367,247,685,601,
692,699,976,802,418,837,160,568,308,828,779,822,820,852,163,673,058,147,543,
424,541,725,878,405,012,467,160,419,079,931,239,956,988,036,887,269,023,389,
867,398,775,853,572,791,173,876,216,659,997,148,061,112,574,059,522,759,862,
062,646,927,514,103,335,128,368,030,243,035,573,807,456,316,401,974,522,278,
131,475,042,711,650,670,081,143,509,573,013,964,036,082,372,581,691,526,923,
026,437,190,973,204,146,028,965,549,203,027,792,421,541,922,134,132,087,083,
200,855,116,289,499,610,485,839,425,045,170,874,412,076,159,567,215,043,202,
719,106,165,617,090,681,835,929,281,943,662,556,041,999,666,455,439,103,203,
378,707,256,756,497,043,882,540,831,048,139,487,983,625,131,116,997,067,892,
316,286,922,644,466,260,255,133,201,043,695,697,469,051,139,551,521,069,728,
037,712,395,392,733,909,040,916,228,815,190,699,602,478,840,372,226,701,665,
333,352,073,990,345,405,745,771,492,388,342,200,822,715,583,638,564,469,730,
353,369,922,135,509,409,412,355,258,934,810,594,595,271,776,342,472,584,349,
437,497,308,146,932,579,316,380,128,727,616,642,255,047,032,602,016,434,818,
946,783,439,054,877,162,213,762,316,565,426,892,567,667,248,933,551,118,265,
863,308,230,675,371,478,567,409,169,415,404,761,997,829,588,358,465,784,972,
501,832,653,159,765,457,578,068,697,577,141,790,828,949,617,701,612,123,449,
153,356,703,898,558,241,168,223,767,609,509,486,968,723,606,761,510,386,509,
698,436,411,988,768,442,138,826,974,191,661,620,275,180,221,059,385,163,993,
603,535,610,911,341,319,397,913,544,689,296,546,146,864,321,570,551,870,859,
531,371,099,833,391,952,873,063,653,020,635,672,048,435,819,503,350,949,728,
745,820,622,026,235,250,543,254,229,342,411,696,951,180,666,569,741,177,750,
150,095,212,260,642,834,091,749,160,021,479,763,791,468,036,428,313,521,955,
477,027,360,980,308,471,936,823,147,194,565,336,682,353,944,187,565,213,342,
153,765,137,680,973,456,375,473,310,549,077,320,785,489,903,928,138,262,586,
397,607,280,621,149,807,466,076,214,222,943,855,357,117,057,003,601,374,507,
189,846,881,301,451,349,389,077,077,251,396,865,183,127,166,786,936,384,584,
559,786,952,115,097,347,871,290,969,949,504,465,882,647,158,537,133,565,634,
711,410,972,208,471,424,096,714,045,913,948,586,036,200,638,558,659,936,094,
004,514,320,652,106,448,190,475,662,123,860,561,825,888,947,018,812,917,153,
490,860,953,473,825,248,618,261,095,650,938,981,585,945,129,029,898,283,787,
545,017,846,643,099,617,870,355,558,701,921,061,100,216,537,919,567,341,105,
538,691,799,846,287,106,096,106,634,614,960,819,949,142,230,120,120,855,412,
468,085,977,463,947,752,981,237,446,700,669,200,293,477,013,441,048,448,542,
226,378,917,159,511,253,637,149,177,555,618,196,729,831,317,511,761,159,285,
518,096,465,648,774,125,425,499,157,506,657,948,909,200,281,229,681,630,506,
840,520,808,596,025,587,057,290,380,924,339,596,141,338,396,099,300,782,852,
988,917,065,226,869,213,153,574,321,775,884,128,636,698,304,092,462,709,537,
545,422,476,053,020,317,080,338,235,668,393,635,666,356,007,604,627,414,038,
092,955,436,560,649,608,440,885,571,600,547,373,350,786,746,878,715,051,985,
882,099,295,614,578,371,473,149,964,341,638,682,107,688,027,671,433,119,914,
750,930,970,309,920,814,197,922,026,620,516,842,610,292,148,594,515,038,747,
470,945,819,242,111,277,721,244,490,053,289,255,189,824,174,040,589,022,995,
794,678,132,406,317,902,555,009,934,112,258,456,009,334,427,388,738,914,095,
846,996,416,786,931,591,775,819,010,025,846,723,654,508,092,855,860,550,724,
462,982,812,169,575,077,535,134,615,692,540,126,000,891,549,938,230,302,152,
530,718,234,304,910,588,228,819,690,582,406,981,156,751,240,328,529,396,884,
499,003,380,045,588,090,791,207,067,218,582,167,792,425,472,460,105,996,295,
198,481,564,389,667,274,245,114,925,546,520,469,487,473,307,172,103,090,778,
774,906,860,878,037,264,933,887,005,928,234,286,344,290,438,598,526,020,989,
325,885,374,213,002,330,539,329,933,378,265,286,835,036,291,563,018,273,704,
330,213,849,861,308,584,796,640,086,034,388,852,247,749,350,004,550,782,841,
971,564,390,436,793,038,196,816,498,997,640,639,774,544,865,414,292,491,732,
144,106,659,757,901,869,250,610,079,666,322,811,372,427,298,379,766,492,370,
281,891,992,508,586,778,518,000,116,044,999,383,856,695,075,958,098,762,059,
038,934,904,829,913,596,738,766,350,178,846,011,048,227,675,029,210,327,918,
605,031,793,405,743,830,858,095,532,023,878,117,341,863,952,702,885,535,629,
185,154,778,330,315,755,727,126,730,254,104,486,813,404,165,518,546,990,327,
645,158,565,739,025,582,616,638,521,281,786,648,998,825,519,665,400,090,261,
685,237,886,851,295,363,220,243,378,409,204,904,904,712,700,694,378,171,679,
291,416,012,394,712,518,695,620,467,571,462,340,129,347,467,047,227,711,165,
513,434,680,741,169,822,496,780,321,737,036,571,001,945,569,776,322,218,376,
500,629,603,368,593,763,571,643,394,181,875,502,399,669,166,616,397,795,370,
370,347,670,329,734,598,860,159,269,207,646,963,804,547,766,909,777,662,089,
666,612,189,492,234,690,707,932,413,116,829,556,123,434,062,377,690,348,850,
904,814,042,748,958,901,787,437,452,693,642,382,218,204,451,859,763,491,355,
150,127,158,790,362,169,825,739,257,387,343,257,827,999,410,500,677,257,266,
911,256,675,048,492,630,327,207,866,866,056,505,475,499,862,706,649,875,771,
150,660,374,218,662,900,979,118,721,620,677,113,914,105,252,760,976,685,532,
596,056,338,945,501,959,589,398,135,946,882,332,967,529,020,503,715,555,285,
328,806,985,935,059,930,050,412,277,914,554,629,643,762,646,113,026,165,231,
558,950,043,288,567,544,033,273,355,905,782,578,286,105,826,381,236,576,683,
514,671,248,087,590,821,118,231,538,805,597,249,412,737,003,677,101,131,900,
908,915,494,485,600,248,120,145,414,071,203,961,977,438,917,874,366,034,448,
465,488,332,774,303,765,813,665,768,017,545,567,513,694,072,133,443,891,256,
433,856,994,123,258,548,670,525,884,442,917,239,185,478,558,851,480,059,587,
019,748,173,607,834,177,839,467,262,000,861,894,510,522,018,518,658,552,029,
184,454,220,802,152,991,016,539,251,011,461,717,973,995,578,083,884,740,565,
836,458,588,021,481,446,957,637,073,175,351,833,065,818,485,263,151,513,494,
719,141,381,345,160,282,560,268,730,641,852,790,090,190,341,390,144,049,321,
683,972,157,576,386,055,997,427,327,844,783,623,974,365,679,755,849,468,462,
145,514,770,207,889,686,805,569,911,475,079,311,608,952,139,799,045,563,486,
179,203,316,836,398,796,273,558,668,364,290,551,430,943,136,179,684,393,145,
006,722,919,724,691,095,527,374,211,902,932,931,795,435,953,673,772,334,125,
629,091,210,737,331,783,091,754,400,979,558,688,812,017,873,319,615,711,028,
142,159,443,097,828,871,171,277,608,360,230,373,737,755,312,535,649,752,667,
718,572,779,007,182,847,845,192,377,841,336,538,233,686,675,334,317,252,170,
916,125,747,428,730,932,267,457,008,745,348,960,538,132,541,075,618,260,140,
524,819,009,251,333,110,025,477,483,314,038,313,404,035,190,216,224,186,810,
489,115,346,986,625,720,468,449,165,244,789,078,276,953,826,331,446,134,812,
461,969,558,727,692,166,862,941,275,084,888,807,293,317,354,513,374,061,930,
092,116,440,647,108,769,608,455,834,947,153,974,117,970,555,607,003,522,528,
903,793,856,702,970,869,667,187,539,906,534,930,540,078,694,452,541,776,247,
290,391,691,073,991,952,298,534,405,817,681,457,938,990,345,890,941,263,879,
055,625,431,072,433,471,953,178,219,317,965,084,160,564,644,050,808,873,132,
306,094,275,702,343,569,924,080,512,799,068,601,861,260,873,081,274,070,446,
767,620,197,770,046,626,476,249,830,470,911,544,672,347,281,379,537,012,486,
819,504,552,041,912,122,955,331,482,420,771,701,253,671,226,008,480,691,728,
011,893,415,487,132,523,709,079,684,701,130,003,913,516,073,656,838,789,407,
382,927,605,001,930,900,420,110,649,866,588,225,793,799,709,002,067,164,918,
866,006,566,542,412,662,883,197,588,767,514,631,849,183,059,751,384,140,265,
397,214,132,898,103,639,088,800,144,147,892,640,950,060,057,443,179,148,776,
766,551,537,832,645,557,385,354,455,265,289,128,953,156,374,046,342,701,706,
445,376,292,772,725,245,000,507,696,443,530,301,331,860,278,803,321,424,149,
078,398,147,185,068,341,503,595,364,472,490,899,283,208,645,629,142,631,825,
516,423,737,707,934,304,594,987,804,719,513,870,676,944,557,083,899,629,219,
528,034,300,824,100,606,596,435,653,225,966,931,238,607,726,672,956,477,179,
236,881,472,559,694,684,879,950,808,767,143,864,022,613,056,542,460,303,551,
950,721,706,952,068,153,081,680,952,354,353,172,346,799,663,391,326,533,055,
677,375,992,796,470,052,639,916,843,486,715,888,992,949,656,181,247,771,969,
274,744,031,492,193,644,982,103,844,016,703,346,760,376,347,635,131,082,727,
589,330,850,988,618,269,437,855,186,560,382,574,418,363,325,671,940,749,594,
461,335,556,738,851,906,608,825,862,780,915,819,331,373,251,336,785,625,660,
732,776,058,275,057,486,798,031,119,186,519,803,939,435,640,542,238,199,572,
284,828,622,416,259,332,698,252,918,291,146,802,916,050,381,211,388,740,748,
431,020,767,703,802,335,648,813,123,417,833,605,592,408,845,436,174,196,953,
791,716,184,383,839,458,233,456,819,082,509,891,152,640,595,827,011,194,737,
772,047,927,108,847,175,158,472,073,469,032,944,585,144,678,992,510,117,590,
858,186,976,497,514,529,068,464,454,245,956,465,629,210,376,031,984,469,165,
853,180,833,746,045,426,602,817,335,565,869,641,159,471,384,016,124,831,808,
453,593,160,090,227,164,090,083,927,804,464,998,496,715,385,289,719,544,392,
308,284,297,033,064,399,964,021,247,638,418,830,954,367,045,641,814,890,323,
821,065,194,094,775,899,919,926,942,569,472,095,404,934,009,051,106,568,203,
367,162,735,674,342,933,941,818,729,868,364,774,457,414,609,304,971,562,955,
139,696,458,996,589,107,065,626,011,768,702,894,421,853,632,894,383,110,568,
620,797,489,877,507,167,032,904,465,893,164,134,603,396,502,907,502,843,628,
464,376,514,858,713,454,122,613,533,511,113,149,261,781,157,351,014,896,619,
807,116,828,577,796,313,613,722,177,384,982,379,816,758,001,858,508,221,395,
829,221,212,094,714,111,868,781,699,969,910,668,638,242,857,575,530,503,197,
086,809,740,615,066,284,650,835,206,395,290,606,965,096,227,699,956,440,444,
333,294,465,953,341,883,311,627,790,845,203,352,741,258,481,004,907,510,454,
069,335,021,307,004,838,730,494,180,677,155,149,525,701,677,099,470,379,229,
972,710,510,402,618,255,357,016,278,640,340,056,070,349,696,283,267,631,944,
126,033,474,852,230,831,416,115,650,705,832,606,560,822,009,707,942,597,871,
505,606,439,272,436,381,906,158,058,865,644,986,082,876,481,418,729,987,040,
064,589,126,496,444,299,366,592,821,781,664,195,000,491,890,203,073,481,012,
844,465,083,618,620,885,813,613,039,704,070,539,566,033,906,070,294,751,735,
226,493,395,811,298,864,293,523,976,219,242,929,306,904,925,255,280,350,487,
881,618,288,646,808,915,257,552,335,963,248,128,745,437,565,080,289,334,893,
213,053,953,050,569,907,385,673,259,138,710,321,018,868,447,706,314,152,052,
818,750,539,014,188,460,800,592,839,642,047,931,086,729,059,640,999,327,802,
528,195,942,694,431,395,536,304,263,268,049,357,405,394,096,028,746,501,775,
228,949,752,122,004,952,619,244,033,238,508,352,400,004,553,702,257,975,141,
521,103,907,933,318,687,724,524,402,909,142,447,413,368,097,085,164,823,586,
979,145,271,432,469,726,644,870,327,750,474,526,907,341,922,475,073,650,081,
895,417,064,492,414,178,267,344,025,420,928,718,597,532,720,203,214,764,744,
623,528,837,688,390,362,755,281,990,613,970,432,348,222,409,688,155,561,953,
581,387,607,402,308,550,377,705,257,183,755,426,719,327,234,404,102,734,292,
019,166,017,202,314,153,750,321,512,902,726,753,346,861,855,480,210,603,948,
866,877,260,528,824,392,564,922,841,556,609,737,292,018,825,869,113,590,104,
259,583,571,145,200,089,319,564,610,636,830,852,396,241,080,598,886,498,520,
336,229,697,631,601,820,774,360,904,318,114,866,752,894,217,388,713,744,935,
792,475,374,239,391,088,774,594,255,330,963,823,705,268,342,910,087,462,830,
739,825,136,064,962,058,376,531,451,183,098,530,238,119,046,362,269,711,632,
052,334,875,406,949,354,148,719,763,770,548,682,861,632,568,637,217,062,338,
762,416,999,939,638,265,824,789,496,586,850,954,582,672,130,152,269,474,401,
684,949,185,903,601,426,000,058,166,412,788,909,789,966,183,620,069,205,919,
262,213,088,793,699,849,934,750,338,495,930,175,294,867,514,716,639,859,208,
547,245,380,154,914,816,788,781,859,207,653,392,218,014,347,524,004,248,166,
219,960,548,669,832,056,166,867,002,690,226,496,769,445,310,595,651,414,592,
226,515,743,249,897,103,792,583,110,162,713,097,608,819,598,291,465,478,091,
589,668,169,742,066,302,079,214,336,988,411,616,502,753,515,298,809,613,601,
529,031,764,804,987,849,512,109,636,009,829,425,450,421,986,151,315,451,069,
695,841,995,704,546,918,303,194,232,582,834,290,362,995,307,951,350,600,233,
603,470,070,125,302,108,837,539,019,190,565,400,838,605,555,262,343,191,209,
984,705,359,753,464,747,566,707,921,998,928,776,705,523,105,591,759,244,253,
263,995,092,011,476,589,684,143,925,429,214,126,984,393,113,598,005,891,919,
141,735,349,118,099,256,108,154,729,358,524,634,778,942,409,587,810,703,440,
964,546,789,909,292,342,732,781,474,068,790,508,773,393,303,698,188,650,810,
336,984,045,706,125,338,440,583,312,553,769,728,478,938,567,583,332,621,748,
200,938,149,095,650,938,893,337,761,577,397,866,359,422,689,621,045,503,306,
683,607,202,179,271,872,818,814,916,620,864,669,534,091,516,505,545,105,054,
444,773,201,579,716,076,923,173,576,165,573,596,523,537,496,562,006,085,684,
255,944,103,684,669,623,613,788,891,512,759,368,946,419,811,895,355,187,742,
310,867,468,735,513,145,109,600,938,931,398,755,532,160,097,507,737,889,856,
428,436,713,891,307,005,507,335,759,467,992,915,447,305,734,202,009,541,613,
940,699,632,615,978,304,315,703,136,800,539,502,560,227,609,522,128,359,847,
556,615,038,261,301,093,740,392,275,353,601,537,089,401,501,771,259,140,550,
697,131,560,098,255,074,599,118,767,179,602,703,582,723,896,396,430,635,648,
429,533,493,375,733,199,930,644,248,556,689,111,395,579,561,752,600,035,664,
328,289,255,558,599,231,251,618,187,063,364,902,413,579,328,447,205,737,097,
321,696,049,362,435,575,067,160,006,515,442,015,417,103,184,000,105,281,589,
517,931,960,871,872,742,746,393,028,886,092,947,030,817,112,118,475,045,111,
936,322,628,817,723,134,876,898,090,630,007,649,734,311,309,256,645,746,844,
157,619,152,781,266,124,731,475,611,164,839,166,086,406,477,549,331,646,327,
973,821,008,078,381,076,521,296,693,449,555,164,183,465,434,476,524,632,344,
450,969,513,765,653,578,971,415,421,478,737,776,228,030,254,900,111,353,490,
915,461,405,723,224,191,917,154,021,965,550,828,700,712,435,075,238,445,909,
306,975,073,659,793,402,907,063,821,507,443,694,144,530,301,977,694,179,975,
295,158,233,503,545,188,077,672,458,663,350,682,982,371,681,124,016,643,433,
372,368,722,905,209,702,730,785,500,809,350,776,056,259,520,574,290,369,284,
364,075,534,174,825,800,876,673,300,177,524,938,538,302,408,094,212,064,001,
598,695,213,943,276,085,221,030,560,627,776,604,901,772,713,625,795,053,492,
000,038,833,068,853,828,600,753,956,183,403,407,972,174,516,894,868,206,436,
643,066,863,828,057,367,884,902,967,676,126,447,576,916,935,581,657,699,699,
493,641,224,882,159,379,121,334,982,084,193,117,043,608,632,322,889,325,965,
988,583,204,627,768,606,514,487,673,088,246,275,458,435,663,968,050,391,291,
324,026,608,928,741,334,129,482,469,011,208,729,623,987,287,549,595,470,970,
865,402,743,091,122,132,492,447,414,530,314,275,119,719,561,307,764,054,367,
874,494,513,183,867,874,558,159,083,087,310,147,422,154,835,092,927,799,432,
245,834,597,033,286,510,148,762,510,610,513,173,829,322,741,174,868,447,071,
068,817,404,300,213,705,561,423,240,402,341,558,743,343,951,102,189,273,960,
809,164,267,081,595,682,510,890,124,820,297,314,993,969,638,602,979,441,429,
299,326,097,396,007,936,605,122,019,593,335,158,978,356,337,272,816,320,888,
945,067,216,126,658,121,512,734,201,743,516,560,401,735,482,689,703,884,501,
242,388,942,482,183,354,919,816,757,794,065,455,735,621,592,595,814,387,007,
080,106,319,523,804,497,609,202,370,160,371,764,480,237,688,831,117,282,444,
747,987,952,663,515,840,193,687,581,335,850,444,973,995,696,470,329,064,264,
114,907,061,103,781,063,631,826,592,595,822,202,530,140,993,117,845,531,980,
425,524,811,445,038,448,019,496,278,748,204,448,729,297,974,848,376,302,041,
728,005,982,932,193,912,336,822,657,635,852,575,552,946,659,716,851,193,198,
211,740,733,513,844,921,788,085,154,071,651,148,152,616,369,449,733,069,234,
571,793,992,570,267,176,899,910,748,930,779,043,440,454,660,139,677,729,760,
467,826,261,193,283,418,041,706,534,369,953,819,900,275,675,403,691,787,075,
021,704,761,422,721,912,877,925,864,939,657,165,939,856,863,813,749,300,260,
800,667,510,282,765,433,054,874,854,692,633,352,559,703,795,505,639,776,416,
753,065,860,911,422,139,319,405,149,284,660,701,197,075,740,492,188,001,959,
492,388,580,484,751,981,729,783,976,098,440,640,480,704,463,700,644,804,788,
147,945,815,251,265,949,833,596,016,996,929,680,704,771,829,916,271,246,036,
537,622,734,733,497,250,048,552,851,687,029,013,300,025,948,616,684,411,947,
633,979,363,080,036,680,184,686,999,630,254,632,074,791,298,311,806,992,282,
717,019,166,212,818,829,549,784,901,286,345,495,267,988,625,882,958,034,473,
953,241,632,717,865,552,819,442,532,127,167,835,818,377,436,470,765,502,359,
481,974,323,925,894,838,694,105,128,943,729,623,187,836,859,363,784,242,677,
335,508,602,703,633,199,614,348,527,344,067,245,356,487,876,063,279,342,747,
321,123,827,186,101,636,609,206,897,821,668,244,977,149,550,074,988,843,862,
792,606,844,159,863,222,971,095,010,627,427,741,563,918,656,041,799,299,945,
430,455,238,669,893,630,182,643,873,256,777,031,523,128,598,579,646,376,273,
921,942,184,261,803,150,911,134,409,437,690,906,431,571,694,658,158,619,552,
686,890,684,435,340,575,185,130,280,212,719,909,631,070,757,759,636,207,740,
859,489,704,824,539,762,167,552,467,645,373,258,496,915,385,289,144,622,908,
322,790,913,684,339,424,844,730,608,439,307,347,160,960,629,139,599,715,140,
623,401,245,402,545,499,082,616,900,484,592,238,668,089,995,979,076,329,818,
501,612,657,553,540,519,422,745,172,546,466,170,230,512,141,033,790,938,823,
471,123,397,848,024,777,276,331,242,871,417,703,206,467,810,853,511,521,206,
408,620,579,626,371,444,640,523,804,022,328,663,913,934,258,540,505,460,825,
435,445,687,373,032,353,509,835,161,172,564,407,947,560,518,048,929,118,272,
559,245,730,324,113,632,551,018,389,094,058,811,663,804,121,900,248,701,325,
939,145,261,844,042,484,022,348,983,633,040,337,165,008,706,328,054,442,116,
242,173,331,651,348,351,971,191,901,405,852,067,983,044,931,524,052,893,167,
566,727,902,785,265,853,790,149,347,132,628,374,214,555,690,369,924,348,940,
015,065,467,990,724,761,316,709,488,062,636,445,992,594,314,528,892,211,938,
650,289,602,893,963,284,895,033,352,039,493,810,335,996,304,509,440,833,223,
377,010,850,253,223,073,781,380,362,493,972,764,107,265,934,077,915,162,550,
274,623,742,263,562,117,083,143,405,469,151,354,378,464,757,472,981,347,956,
602,880,062,256,755,712,699,942,395,221,279,278,712,117,459,170,174,811,779,
860,626,038,147,932,032,346,908,530,550,595,619,609,128,412,261,464,908,501,
388,232,078,094,070,853,183,132,930,202,362,349,724,683,670,509,988,558,743,
717,457,355,766,082,042,969,200,339,261,114,496,443,758,578,939,421,740,231,
406,447,751,352,205,872,493,251,923,260,964,054,474,060,013,189,649,108,186,
521,377,966,066,519,854,641,379,553,007,740,861,340,194,650,719,051,735,980,
312,683,017,958,724,289,703,741,250,825,348,275,085,238,553,032,428,659,844,
338,336,885,529,934,724,672,213,508,926,469,611,292,144,632,443,486,877,569,
323,971,852,298,254,624,691,169,911,557,425,020,528,457,555,868,600,606,841,
546,898,020,187,492,174,271,542,111,117,145,584,785,447,567,189,487,419,519,
155,384,286,568,881,209,291,266,048,901,907,322,652,252,262,855,791,424,330,
885,946,289,607,443,749,959,227,126,134,817,567,948,653,594,162,432,218,002,
752,333,500,102,437,594,167,899,412,404,321,381,710,422,695,468,700,724,162,
638,874,379,853,191,488,273,407,414,652,204,259,217,381,502,394,481,281,982,
357,163,950,140,047,374,601,655,540,080,057,900,701,271,593,846,066,541,901,
562,334,980,521,246,462,055,845,224,445,633,864,365,698,902,745,133,663,788,
426,581,830,809,256,979,345,936,943,600,320,955,146,777,182,031,163,549,705,
928,245,880,683,306,796,783,733,566,179,560,170,028,284,766,821,814,777,244,
244,992,349,948,065,612,087,178,386,043,822,330,903,742,670,749,247,491,141,
329,857,147,717,507,911,967,465,191,324,138,448,092,335,797,831,032,818,228,
227,702,704,780,447,152,982,976,568,961,073,680,172,291,610,859,587,981,145,
727,988,676,852,733,203,813,747,441,156,455,482,048,309,069,449,634,926,572,
860,288,233,695,447,710,447,617,234,240,939,904,970,330,467,809,463,373,954,
726,365,803,194,061,753,742,422,497,149,727,312,915,200,790,751,383,474,530,
273,672,526,491,232,843,311,235,380,752,256,431,139,316,178,501,870,583,541,
417,265,669,151,663,347,549,205,419,098,084,199,887,912,447,726,409,892,955,
956,922,094,869,218,135,194,784,012,805,893,379,557,258,640,217,483,080,336,
715,086,718,273,220,405,202,401,817,669,251,633,016,885,800,369,593,699,984,
814,746,873,350,866,390,981,564,561,000,009,363,135,881,017,462,483,368,014,
590,097,505,545,775,329,009,063,021,379,381,315,923,634,348,870,257,940,137,
519,487,264,214,042,308,468,266,535,043,690,632,974,298,876,053,085,658,022,
246,553,351,456,361,473,662,810,132,692,968,610,596,855,778,628,057,443,565,
926,138,731,944,132,452,793,156,406,825,943,435,789,888,925,502,370,446,810,
119,904,389,644,535,885,771,119,814,752,184,951,973,763,130,020,126,687,382,
930,623,906,383,325,036,190,985,245,042,293,716,715,418,272,485,908,741,317,
116,689,741,567,380,019,699,743,324,572,630,520,837,904,331,656,123,576,911,
655,661,470,272,219,212,421,567,175,599,426,178,019,419,565,803,840,747,989,
958,574,954,668,509,600,740,680,449,911,402,231,850,091,689,020,676,268,337,
987,401,336,874,307,643,952,400,866,923,333,449,757,918,231,681,660,288,549,
155,033,823,016,007,803,939,468,291,533,617,767,676,587,931,208,357,423,385,
120,276,907,956,562,570,425,605,726,818,782,630,334,199,788,065,214,254,974,
833,773,578,980,413,925,156,453,346,493,340,016,461,964,006,506,886,913,373,
811,767,387,854,398,350,631,556,685,886,716,839,855,127,549,117,159,827,981,
557,244,034,667,012,297,845,400,517,610,282,271,735,144,783,429,729,002,938,
369,836,550,851,815,358,741,251,757,237,223,126,291,006,477,588,029,693,947,
974,178,729,360,992,572,549,109,275,386,740,727,269,016,953,789,995,809,648,
552,080,536,522,413,441,951,812,950,013,230,565,340,151,000,707,015,209,519,
819,457,477,038,285,800,225,599,051,349,284,859,332,170,728,395,060,884,849,
518,275,585,379,384,769,578,609,848,078,002,272,252,556,227,516,856,530,534,
944,177,523,790,038,190,954,482,613,095,700,314,103,397,714,402,502,746,903,
080,449,088,064,961,634,746,410,651,995,414,704,739,999,491,732,574,670,584,
945,582,548,319,654,775,209,698,342,897,250,910,230,251,151,028,053,023,559,
446,399,076,484,617,762,098,370,363,769,876,971,783,072,203,547,868,132,819,
543,387,079,790,184,001,369,729,217,883,411,219,281,070,169,106,105,129,953,
256,938,474,085,776,162,906,092,979,733,007,381,905,184,244,525,949,846,982,
331,749,093,425,325,730,556,572,078,646,955,262,720,663,471,437,916,365,261,
662,037,010,863,425,538,629,584,361,173,720,408,159,868,970,729,479,272,826,
942,722,703,095,958,603,109,419,612,603,696,348,450,725,767,262,199,132,987,
977,501,083,125,953,281,615,156,403,799,186,117,996,913,225,460,269,832,126,
426,261,738,175,775,155,726,081,048,879,802,809,485,216,944,532,439,912,846,
734,071,201,759,113,318,099,899,582,687,329,382,767,388,249,456,361,217,474,
623,640,608,613,515,587,767,294,674,428,361,956,278,066,907,522,477,108,032,
068,004,798,188,647,364,938,063,744,688,741,245,031,769,025,598,315,197,030,
018,425,699,148,604,094,496,393,833,807,598,749,110,412,082,918,952,022,472,
220,622,915,028,760,038,995,997,115,212,656,764,962,706,644,407,532,276,029,
154,418,566,838,332,436,105,681,248,240,554,469,256,433,107,745,544,128,230,
295,235,320,385,079,024,867,129,047,501,076,436,850,250,437,606,885,100,839,
527,641,767,233,280,345,954,094,848,249,468,851,598,786,930,794,872,698,244,
343,509,352,563,718,723,159,893,371,073,073,027,451,098,178,624,843,643,000,
512,633,792,780,126,119,281,152,583,707,077,452,764,750,077,204,517,901,728,
455,824,323,220,054,042,730,475,647,587,189,841,703,235,029,954,967,495,068,
209,849,755,403,152,137,255,427,815,730,867,167,642,092,996,521,696,657,568,
676,805,741,630,234,925,211,932,985,019,734,032,205,292,395,572,496,377,485,
494,689,515,435,230,722,271,848,971,174,086,701,054,534,451,679,479,890,605,
876,997,190,055,760,267,481,668,111,392,226,978,954,080,647,395,000,974,820,
859,503,766,274,867,686,214,844,854,456,678,982,906,894,138,649,386,127,746,
752,121,024,296,113,525,347,907,169,301,804,286,665,029,968,012,400,052,493,
555,448,406,702,507,611,287,181,886,494,909,264,451,268,722,937,615,700,621,
556,007,663,017,579,646,775,755,803,195,089,919,351,846,355,655,030,254,541,
136,892,414,295,744,345,786,642,623,592,106,850,977,550,233,724,835,467,345,
500,342,439,525,203,774,950,727,749,213,536,223,222,574,737,556,788,207,202,
036,779,481,498,155,891,790,222,904,567,878,910,841,644,768,940,420,137,353,
839,294,823,905,221,637,518,041,067,624,110,139,855,253,420,554,550,628,609,
502,999,341,319,819,315,138,013,956,676,765,198,974,170,332,167,093,924,601,
380,467,135,876,917,345,203,469,623,676,610,604,998,713,585,972,038,457,997,
167,616,075,764,552,776,287,785,406,603,540,826,745,948,921,936,265,873,671,
424,405,432,514,048,355,688,168,405,513,359,788,470,793,158,539,570,874,607,
065,087,794,395,708,859,319,217,403,322,796,024,614,140,132,958,716,773,870,
774,377,719,707,303,916,946,920,407,991,111,432,810,397,853,284,110,425,430,
553,799,272,369,128,521,514,315,597,526,817,895,654,706,115,176,839,911,614,
933,733,932,872,139,177,376,264,837,767,657,295,382,089,344,638,019,178,611,
244,242,540,961,475,903,708,868,334,342,264,803,294,968,816,884,704,085,992,
348,475,291,562,782,393,004,792,315,081,461,869,052,179,757,209,196,163,338,
823,484,554,539,554,424,556,214,067,952,631,320,564,081,789,679,454,349,291,
583,952,791,495,349,801,796,217,335,940,437,343,330,549,821,365,634,286,636,
114,429,877,988,898,738,510,512,451,035,235,667,058,401,595,284,647,114,395,
316,467,529,649,030,936,359,387,384,011,613,056,447,021,469,177,218,344,941,
867,154,540,893,783,059,558,219,358,404,262,188,412,099,954,769,042,718,286,
149,804,658,963,729,549,093,523,307,289,766,233,447,495,821,714,955,700,881,
176,386,031,697,285,010,324,361,771,811,772,942,738,042,125,563,682,193,286,
918,356,170,067,896,365,126,388,177,674,605,801,266,139,217,016,647,408,870,
761,521,331,060,192,444,541,665,713,200,719,647,870,642,926,988,235,246,611,
509,553,745,288,801,222,821,073,840,590,079,895,233,940,420,189,137,673,488,
867,472,639,409,900,606,460,613,265,285,573,688,739,807,564,961,627,092,478,
858,486,015,324,694,538,756,882,461,702,074,461,453,120,736,849,244,165,600,
585,026,663,136,386,170,359,993,929,847,100,305,429,393,711,352,344,550,929,
548,376,972,736,615,754,957,130,677,417,984,940,098,636,461,676,078,659,677,
083,832,375,747,525,559,175,742,083,143,271,582,101,825,538,355,416,468,429,
055,630,668,876,527,425,974,684,096,175,730,698,729,532,425,439,768,567,904,
809,881,572,245,609,901,786,107,132,889,595,798,883,973,672,801,091,752,398,
281,078,348,063,774,178,607,395,474,101,132,088,317,132,422,314,469,879,444,
551,422,631,513,498,752,658,061,925,126,679,279,168,686,928,550,783,291,006,
330,745,897,854,171,913,051,196,247,462,739,848,845,194,379,276,008,452,872,
793,009,581,938,219,589,607,992,942,493,704,148,012,543,619,308,190,917,999,
478,235,078,767,229,365,579,144,563,364,685,334,760,514,876,438,016,898,858,
117,118,472,209,142,160,487,025,998,641,687,097,172,709,517,480,954,852,623,
255,866,915,341,825,817,556,534,300,269,640,979,932,332,190,326,454,201,303,
150,959,255,520,170,449,987,978,976,348,540,632,920,740,891,341,997,775,586,
639,751,795,576,271,119,899,650,414,170,944,098,175,442,869,288,784,295,933,
819,273,975,938,626,485,044,530,848,636,029,658,775,932,025,329,009,770,033,
830,025,683,732,470,700,378,586,896,089,843,168,094,629,820,375,369,351,958,
709,944,997,942,442,607,887,342,072,764,854,808,982,393,068,147,171,728,230,
856,933,688,397,288,414,857,957,375,097,940,497,576,993,541,918,232,726,762,
619,675,975,535,887,349,524,317,987,672,933,775,796,705,290,109,129,440,355,
425,790,858,863,156,014,111,503,832,915,259,973,160,979,501,906,275,496,125,
644,273,872,558,751,423,308,286,066,451,916,641,983,808,878,226,008,540,447,
326,843,554,800,579,273,673,388,911,499,696,249,647,515,002,731,358,420,619,
035,003,344,064,066,096,992,364,774,961,380,824,704,413,086,947,732,137,330,
799,148,781,537,738,067,118,019,988,059,654,764,687,352,148,045,645,405,956,
571,097,400,335,286,893,684,416,266,386,950,209,279,833,214,266,057,589,571,
734,076,470,477,580,691,140,897,323,828,139,175,253,322,477,199,569,841,591,
288,414,687,256,337,531,209,366,203,792,997,582,660,823,364,656,913,217,467,
069,045,799,045,405,805,480,678,678,478,097,131,810,906,276,289,023,580,787,
246,185,462,097,994,643,085,088,174,581,211,932,032,270,261,932,782,842,711,
814,797,517,176,907,071,501,809,649,362,118,812,904,974,328,931,237,229,738,
772,361,899,117,859,047,973,407,992,902,291,007,724,082,126,092,963,783,782,
370,360,044,750,223,601,781,399,959,925,017,767,916,903,300,510,803,231,446,
356,111,515,253,398,595,785,304,701,551,003,358,688,225,081,287,944,418,767,
118,692,218,569,619,341,010,682,950,893,366,265,459,630,901,347,066,973,789,
169,297,081,819,890,860,318,447,771,757,626,585,122,513,963,554,632,719,677,
176,748,631,452,933,442,968,600,187,565,842,262,429,733,747,531,245,877,874,
679,068,387,191,028,798,819,410,091,085,894,916,121,914,586,824,984,524,626,
164,192,277,044,751,015,971,238,317,983,236,052,699,775,755,636,036,982,398,
753,942,495,609,206,659,527,522,159,384,428,036,449,981,878,645,625,217,626,
836,136,283,538,872,879,590,118,190,989,942,342,097,333,368,608,870,413,344,
250,012,602,760,009,340,216,266,302,819,824,999,387,617,120,335,463,180,563,
294,357,830,931,938,793,123,196,275,649,761,977,613,688,836,726,562,208,957,
010,654,478,182,278,365,487,777,625,454,195,419,608,682,157,727,340,130,096,
479,529,618,661,822,004,408,237,985,764,694,549,645,885,753,486,247,387,993,
644,784,318,898,483,038,104,237,114,718,429,781,049,493,411,529,741,453,518,
914,493,987,769,846,664,242,234,049,674,934,215,569,676,808,692,761,913,648,
224,052,842,212,600,571,956,775,532,941,735,204,255,946,653,185,194,306,605,
776,457,024,405,954,908,235,392,227,174,709,615,494,311,914,564,982,034,964,
551,026,008,700,042,829,869,579,196,189,376,920,183,822,305,205,999,193,043,
493,683,445,875,609,719,574,528,949,139,530,791,013,141,566,910,195,790,317,
497,084,079,415,509,160,618,593,526,037,381,338,657,230,007,416,452,331,504,
517,508,319,885,270,599,731,680,427,093,314,340,229,071,818,975,845,133,675,
524,450,532,448,182,190,001,165,497,874,703,834,355,612,572,605,370,366,315,
088,701,050,664,977,967,498,218,094,191,141,188,529,440,194,562,635,422,795,
107,826,011,599,781,896,090,460,586,507,468,446,520,928,290,903,668,908,141,
476,993,043,054,703,859,691,857,032,492,273,930,258,455,648,912,437,123,119,
323,860,560,553,807,425,736,924,654,784,083,014,685,008,935,747,041,659,998,
597,411,506,821,725,007,367,141,636,527,336,620,358,678,854,175,279,617,970,
713,333,247,399,110,337,352,201,547,669,624,607,150,624,755,814,202,500,203,
506,937,138,244,264,178,278,702,330,009,825,661,783,609,982,032,363,308,756,
056,133,537,038,791,078,925,947,654,399,246,099,113,016,853,925,543,385,979,
922,794,816,991,136,513,808,222,859,107,460,589,274,337,880,031,203,092,597,
210,464,675,854,695,283,796,971,493,659,828,312,770,119,283,722,763,449,816,
306,348,538,741,200,722,259,078,355,620,112,097,706,791,891,473,855,256,082,
237,659,240,943,758,987,632,951,038,674,334,910,334,383,500,484,556,441,816,
606,078,351,772,180,082,512,990,647,661,998,627,275,576,898,428,834,809,009,
126,783,070,132,176,974,570,163,296,066,936,307,819,875,116,375,900,067,131,
300,251,200,220,996,292,831,549,924,018,774,152,781,660,166,748,736,284,966,
532,261,364,551,633,328,536,177,393,945,838,041,221,436,740,600,391,782,998,
490,211,465,206,617,838,008,071,803,600,518,186,439,976,734,849,611,410,980,
444,177,261,167,964,179,790,587,577,285,511,761,754,648,572,480,802,389,575,
102,197,855,777,420,956,145,372,626,946,198,516,203,987,020,493,912,229,519,
155,084,973,051,722,462,757,306,323,406,319,210,188,582,035,080,388,554,008,
445,630,970,920,480,428,187,106,104,457,083,821,625,594,461,975,618,672,443,
014,010,982,515,351,809,920,110,537,506,833,811,985,036,958,349,545,355,766,
199,036,665,619,675,032,115,362,636,733,880,467,250,858,282,605,885,672,364,
096,086,765,142,552,091,332,469,533,766,522,393,101,325,140,258,306,275,090,
343,314,312,541,207,533,315,953,488,687,378,699,613,036,806,851,980,012,818,
344,882,764,477,660,586,568,349,052,494,396,360,080,839,881,266,399,625,981,
457,217,633,593,285,027,398,952,234,585,149,598,359,134,597,853,670,629,139,
753,104,239,033,845,284,930,615,928,420,878,525,365,773,782,338,811,547,870,
973,736,030,126,169,297,051,035,281,716,824,063,992,063,905,740,402,016,604,
216,398,130,420,242,253,667,223,836,204,564,650,818,015,821,846,415,051,486,
428,499,606,941,747,611,128,067,667,219,669,638,231,631,270,515,022,628,118,
135,556,750,987,991,611,181,300,875,542,043,119,939,170,442,358,661,401,382,
772,323,360,343,963,860,938,487,587,435,520,597,516,536,255,327,111,435,247,
206,621,726,937,963,610,232,431,036,449,766,210,283,305,071,208,890,022,585,
049,881,611,087,100,990,871,278,499,532,365,345,011,012,788,332,139,577,476,
133,119,179,203,392,723,815,292,241,251,605,425,695,740,641,038,294,384,386,
498,737,868,749,608,112,894,947,638,214,445,765,676,900,698,396,466,989,057,
336,570,628,505,055,723,295,576,869,676,227,484,817,109,793,970,066,073,175,
926,257,498,633,964,225,004,838,637,091,979,605,148,132,390,934,573,802,444,
728,824,886,935,900,209,452,745,049,105,299,326,646,308,845,431,523,285,492,
290,941,036,863,922,148,002,445,827,419,762,410,012,510,019,416,290,943,093,
813,633,182,155,027,164,577,031,961,662,702,350,721,524,575,115,873,698,355,
541,504,744,036,461,957,734,015,106,666,779,048,181,865,315,594,402,240,171,
739,446,054,202,916,157,126,644,064,716,403,394,456,832,316,929,191,512,474,
112,726,017,738,199,241,953,131,432,338,248,411,739,446,442,440,308,925,788,
822,232,685,558,941,433,473,985,568,461,133,046,713,321,867,719,218,177,215,
375,940,867,457,043,863,195,255,371,983,393,208,688,510,205,037,371,793,497,
171,807,832,232,832,635,898,371,503,542,934,331,792,534,700,179,186,941,435,
564,867,229,284,931,261,152,756,600,417,914,842,767,314,655,980,922,574,213,
273,135,855,190,510,639,299,780,367,828,528,843,638,700,168,643,256,904,112,
279,650,997,514,969,477,263,734,849,226,000,437,856,877,508,522,481,293,818,
161,717,648,837,912,678,373,804,757,232,968,578,270,995,576,108,576,564,617,
457,068,889,666,215,772,491,227,992,747,838,405,893,419,840,829,480,801,919,
193,195,404,779,049,223,937,259,419,030,100,366,650,309,464,037,422,024,415,
071,959,037,520,421,844,660,536,659,843,050,305,655,920,388,694,524,376,985,
557,072,602,276,027,414,905,023,601,795,009,265,956,583,341,591,338,317,804,
887,780,624,922,078,389,003,299,584,060,073,774,186,532,443,663,871,375,615,
925,266,559,703,320,512,262,302,165,707,628,140,129,339,872,322,481,082,384,
707,456,818,529,475,085,208,756,711,863,739,996,757,109,114,831,042,530,157,
036,925,275,505,913,708,912,339,158,948,575,037,837,531,675,550,599,185,171,
988,416,722,389,406,279,135,506,878,353,996,137,862,850,954,156,061,861,791,
080,646,371,118,985,959,220,025,395,519,463,812,419,258,739,781,288,279,831,
572,294,527,620,365,514,981,075,309,016,287,203,737,116,670,622,473,727,493,
884,341,395,528,497,116,032,201,766,982,738,303,613,042,855,794,695,032,751,
776,204,947,082,907,879,934,857,477,128,595,284,828,603,011,668,177,296,413,
237,899,636,106,572,669,957,052,159,896,427,201,779,096,642,855,000,738,795,
207,731,001,704,815,034,272,261,759,437,170,417,692,851,274,529,434,271,210,
243,233,252,386,052,476,001,633,946,733,083,166,406,583,615,644,491,390,357,
737,884,422,202,592,399,143,989,883,107,098,901,284,359,258,031,641,865,976,
495,509,282,640,261,829,335,789,205,926,666,154,893,476,580,243,113,622,564,
614,197,775,250,852,195,094,272,959,172,985,560,188,645,744,049,290,398,974,
852,557,082,544,398,156,516,959,286,206,563,694,304,595,658,467,027,824,825,
177,240,898,909,585,207,834,371,134,472,996,671,155,064,133,328,918,679,650,
432,264,382,635,781,301,614,853,214,050,253,583,516,014,832,378,024,450,591,
258,847,355,510,795,242,217,662,777,747,333,584,157,395,063,143,744,491,024,
971,643,100,549,220,555,777,996,803,510,524,957,704,175,267,057,944,002,644,
010,090,047,055,603,685,440,448,103,180,543,966,349,012,844,710,903,093,178,
682,147,421,093,121,845,281,180,670,047,015,014,572,639,953,692,417,240,492,
849,647,951,118,889,441,144,715,923,571,255,385,169,618,794,592,174,265,597,
327,395,717,942,528,492,330,668,172,968,110,466,679,082,122,382,043,531,403,
678,796,371,868,140,789,976,795,416,696,634,683,400,035,672,443,279,730,537,
069,126,588,867,084,488,575,404,786,020,804,567,247,842,576,592,127,729,709,
867,358,123,112,646,862,210,692,341,676,303,801,086,613,937,441,598,874,042,
860,053,944,308,756,364,718,621,524,371,334,059,047,549,520,420,252,946,695,
692,282,834,621,538,795,669,984,644,235,931,061,212,592,430,963,471,448,213,
438,265,369,270,777,079,302,177,684,216,045,077,391,227,835,777,423,356,971,
413,270,035,660,677,339,573,667,197,996,299,635,422,565,015,351,615,292,874,
533,874,222,348,235,535,591,171,369,443,614,440,000,407,659,920,095,407,816,
354,942,284,520,678,043,041,893,160,224,812,514,629,254,516,064,396,176,092,
555,420,111,425,850,621,994,987,293,453,963,899,796,118,291,422,125,080,670,
069,670,082,253,847,951,921,053,643,564,785,385,118,544,003,357,265,186,013,
458,957,983,166,281,474,918,132,331,176,393,921,453,844,592,991,442,945,333,
425,088,204,419,048,370,354,651,113,313,826,652,267,286,995,309,646,268,004,
671,475,389,781,604,289,182,859,690,883,646,529,142,832,114,399,359,721,790,
157,887,824,562,093,189,535,363,671,683,454,122,415,927,913,573,121,536,942,
724,392,139,257,087,299,650,155,939,707,744,126,827,523,571,752,385,822,335,
090,631,303,045,689,063,852,111,986,296,882,940,130,707,905,721,157,856,040,
784,832,459,872,547,814,804,253,115,064,931,535,026,903,758,391,076,927,185,
350,070,110,507,337,453,673,970,108,334,251,131,619,203,673,499,605,132,954,
097,695,655,459,073,758,744,248,227,765,039,568,808,694,142,251,342,765,138,
039,543,998,967,672,317,501,123,883,129,441,334,129,273,814,867,163,869,608,
583,813,043,954,106,640,466,682,758,086,895,553,637,195,818,568,258,984,425,
888,902,971,671,890,050,337,687,760,331,430,670,162,290,554,136,897,135,761,
804,028,915,421,086,790,055,040,562,551,510,304,654,077,294,848,172,538,859,
301,433,177,269,852,628,344,422,532,557,373,137,293,122,422,037,710,388,614,
816,168,695,218,923,427,189,163,025,606,066,818,951,010,229,981,879,122,260,
042,367,808,235,626,475,204,757,804,274,620,424,566,440,391,193,626,854,762,
642,288,463,784,642,043,184,746,320,809,799,685,221,087,828,386,097,433,132,
255,744,769,204,041,080,534,870,850,799,858,951,663,325,752,459,212,266,269,
290,523,769,696,995,654,405,899,683,014,270,356,070,799,088,147,232,124,147,
094,821,290,732,063,190,597,450,887,876,412,524,780,041,352,749,864,304,572,
655,318,875,104,419,478,283,939,673,078,556,188,045,981,552,000,946,577,971,
694,213,576,094,003,288,864,477,024,158,690,607,846,218,664,378,753,481,157,
612,757,254,057,929,723,317,699,830,498,142,394,195,205,090,145,887,377,207,
417,842,822,338,945,771,207,936,118,546,933,807,559,712,625,487,830,329,135,
519,953,535,998,628,669,773,279,133,319,997,897,347,761,607,892,493,191,703,
773,055,381,095,875,178,605,220,697,739,376,953,912,558,405,127,542,532,344,
574,583,789,233,428,004,933,054,170,471,223,843,113,926,519,189,880,733,608,
316,319,032,311,236,826,760,445,655,825,575,903,796,313,434,897,628,856,774,
429,515,271,521,958,689,307,328,156,115,710,830,948,798,679,023,863,857,028,
369,403,519,070,492,106,082,771,473,737,484,602,386,887,289,699,739,842,271,
383,373,720,533,033,938,151,174,104,039,409,471,055,862,600,159,532,290,039,
917,989,349,203,785,960,158,992,496,420,019,250,557,644,283,440,989,632,444,
569,185,177,870,153,570,759,401,291,369,967,955,812,171,981,822,828,945,388,
522,023,097,468,315,075,412,106,356,989,587,464,217,284,330,230,800,881,988,
102,238,218,993,102,290,878,713,249,834,242,843,732,423,093,251,157,685,102,
896,125,001,696,822,148,233,775,282,283,481,149,794,504,775,279,164,616,480,
893,869,263,370,805,328,815,430,060,844,101,110,147,273,333,308,348,790,651,
712,077,746,847,775,666,560,326,317,401,316,907,955,307,624,304,534,157,729,
424,088,476,913,956,241,102,692,546,587,220,499,889,463,497,620,741,592,444,
654,432,175,999,448,058,776,776,757,640,006,222,012,054,698,885,272,872,438,
838,316,478,073,487,836,442,675,905,876,380,114,210,894,658,427,563,171,773,
103,827,023,218,700,029,680,876,937,337,054,242,909,959,059,248,698,882,141,
983,267,597,799,630,431,697,536,509,509,521,607,058,994,638,446,926,183,407,
660,279,769,929,715,040,480,898,827,808,321,417,884,894,657,508,254,105,894,
415,481,743,253,234,563,051,698,987,027,725,366,911,591,070,720,670,762,002,
732,226,269,527,117,691,682,412,760,575,268,645,726,190,129,871,269,084,989,
023,717,197,765,352,555,327,838,346,080,799,517,233,519,815,654,964,771,860,
114,243,676,398,074,923,248,660,976,238,116,736,810,593,939,674,323,807,041,
507,410,695,431,593,420,021,747,662,795,527,555,304,485,389,126,096,385,664,
564,113,341,382,251,148,194,484,467,971,990,692,664,484,947,434,460,720,426,
537,966,895,917,062,112,983,454,387,681,366,912,870,717,178,808,894,981,750,
130,863,003,442,213,638,778,763,014,576,410,317,573,024,319,858,609,632,302,
176,043,741,630,473,420,552,760,640,641,533,176,715,856,657,312,675,723,292,
750,888,189,523,336,066,890,504,787,171,390,408,398,748,771,048,748,925,425,
582,438,455,713,928,511,027,786,631,701,521,634,360,294,039,050,112,833,863,
811,038,308,577,063,372,136,112,027,438,373,644,607,062,455,678,469,187,407,
734,441,974,759,539,465,523,113,741,386,871,528,186,293,300,716,920,517,724,
075,344,531,047,669,813,746,677,411,891,716,585,747,163,958,377,163,394,719,
218,581,172,339,783,399,679,186,249,823,753,324,205,928,334,092,981,962,712,
228,353,227,076,609,350,801,668,308,694,960,321,137,825,556,135,541,638,116,
733,968,829,441,688,083,702,439,667,496,748,504,770,064,059,425,668,609,149,
724,401,285,871,528,792,090,458,216,089,734,495,683,533,416,457,871,509,265,
074,863,446,788,667,538,763,189,863,391,180,903,601,030,015,281,021,133,245,
494,739,458,819,998,164,054,761,360,158,472,552,934,099,419,380,670,661,468,
734,900,780,092,513,492,192,811,640,592,766,171,406,808,692,557,661,197,531,
338,410,129,884,559,353,712,656,296,126,903,955,214,000,994,198,907,092,412,
849,897,067,328,652,457,745,290,243,837,252,269,952,347,727,686,750,768,608,
987,620,331,640,218,903,699,607,843,839,872,793,755,116,814,190,751,800,381,
981,338,309,091,627,736,584,500,353,885,238,301,602,461,095,789,427,807,898,
412,726,791,352,357,082,523,548,418,413,926,994,147,166,512,498,475,152,377,
741,718,627,830,418,761,612,170,285,056,457,351,717,965,417,228,822,825,146,
005,861,191,530,524,287,674,989,358,729,547,636,524,326,392,578,281,683,610,
041,950,271,312,294,876,279,354,310,085,676,082,124,427,376,809,589,031,849,
717,920,696,856,888,433,639,192,751,714,178,360,803,650,167,459,711,008,155,
720,645,948,057,518,472,671,532,930,176,476,917,879,914,058,023,768,363,943,
309,567,715,469,328,960,472,168,825,693,767,612,555,115,085,011,411,025,403,
418,953,940,800,537,770,568,973,345,717,309,486,716,342,188,572,268,481,834,
374,084,825,905,689,796,387,352,794,824,370,987,260,338,197,092,278,867,901,
254,241,051,718,431,804,574,197,518,403,583,553,772,105,202,784,866,731,700,
720,036,129,883,323,113,444,338,873,055,223,309,122,721,542,337,640,794,646,
359,820,331,798,697,308,334,903,883,332,255,688,789,812,245,357,282,532,053,
084,669,435,573,838,250,550,979,118,302,519,726,617,503,509,791,069,245,869,
232,711,629,361,272,214,264,421,815,665,540,872,825,996,852,176,944,199,564,
516,964,160,023,590,295,034,779,626,672,051,589,495,937,939,365,805,498,251,
746,711,450,715,788,728,724,387,301,034,606,567,532,934,205,042,277,943,182,
113,007,474,494,806,792,414,478,574,771,965,422,931,121,801,826,595,631,861,
414,782,581,459,667,882,258,095,168,459,307,598,379,036,823,144,012,871,855,
647,326,142,785,965,525,186,758,022,600,339,980,216,481,833,029,248,857,909,
508,907,904,991,944,488,404,109,355,797,217,869,907,097,261,213,463,240,199,
191,565,954,648,353,459,722,167,103,164,220,771,341,332,503,267,600,732,680,
866,977,376,337,308,180,717,827,476,393,277,784,500,802,568,459,195,989,706,
602,706,076,571,294,951,940,194,537,134,906,362,742,246,067,477,323,532,985,
807,286,088,478,803,115,974,835,201,483,790,045,757,385,487,377,010,017,501,
378,327,082,856,415,463,489,620,762,771,517,774,038,238,859,314,721,605,701,
540,255,661,579,837,162,034,910,571,176,004,939,130,536,258,477,416,078,045,
010,754,454,554,981,928,261,199,092,610,126,659,387,774,922,883,929,099,292,
770,655,067,920,618,965,681,027,667,044,316,923,350,105,811,149,113,862,582,
469,729,235,750,978,420,304,187,703,117,645,823,432,588,841,976,515,110,966,
425,935,746,583,576,244,885,030,390,392,737,390,505,649,069,238,121,726,819,
364,604,257,740,586,723,590,761,039,773,181,998,280,213,474,006,174,224,905,
385,710,554,305,163,181,925,493,825,929,757,993,855,639,373,203,845,928,618,
386,334,944,148,619,211,850,190,032,912,143,997,522,131,610,973,464,535,231,
702,488,902,039,899,856,138,581,513,097,483,762,863,801,988,384,297,035,302,
689,574,192,768,192,041,518,216,963,914,780,467,363,782,381,233,197,421,903,
819,180,473,667,052,454,502,838,498,006,595,324,971,334,660,126,778,581,940,
740,804,877,366,136,750,028,368,331,208,643,851,919,012,711,921,288,192,735,
311,022,058,687,093,519,789,562,300,767,561,862,311,541,160,943,620,295,653,
670,706,764,551,891,712,134,622,938,647,241,746,151,271,725,826,028,871,037,
807,982,446,348,320,776,550,858,754,219,831,909,696,800,783,811,704,699,778,
097,845,052,162,996,988,562,828,435,722,794,009,581,443,308,292,889,020,220,
305,655,024,128,752,886,347,248,450,646,784,087,611,966,246,900,329,653,206,
786,140,095,948,347,355,997,698,359,151,223,287,176,485,667,588,800,880,359,
663,254,205,628,933,792,136,560,021,679,080,064,735,141,365,501,756,908,827,
450,807,061,282,323,813,140,522,821,183,689,443,910,639,617,728,453,472,106,
232,857,224,089,213,908,280,731,803,282,849,883,169,274,677,547,503,187,252,
457,699,093,758,582,910,631,537,555,230,291,489,350,661,189,254,788,001,635,
055,683,982,520,135,636,746,964,659,378,169,709,343,586,966,041,171,212,557,
307,105,274,264,272,638,539,276,405,638,444,198,930,798,515,136,730,986,822,
148,154,213,213,166,688,767,232,571,348,525,268,242,387,898,418,930,077,978,
732,334,771,248,433,846,383,178,897,380,060,876,231,088,822,681,539,104,741,
306,375,394,944,065,571,023,229,057,412,450,455,214,479,736,382,396,798,949,
538,867,748,540,959,686,367,718,333,535,134,878,481,642,043,947,737,494,247,
274,640,373,035,711,506,430,808,363,293,547,724,110,927,332,171,755,742,722,
477,181,472,665,792,175,197,965,559,619,433,257,813,298,752,415,783,420,522,
733,908,703,581,343,104,426,768,314,248,199,151,376,737,637,024,188,132,970,
612,939,564,624,351,815,636,992,918,810,707,692,817,817,268,305,817,789,721,
743,694,077,294,686,593,278,099,681,831,219,866,006,334,841,210,292,749,251,
550,384,177,790,305,900,243,264,326,138,956,904,303,106,035,846,779,239,863,
686,925,712,440,692,365,738,602,701,946,810,265,985,375,375,533,156,684,007,
943,169,535,932,018,108,628,889,054,896,292,878,294,846,651,332,935,727,569,
653,836,914,244,286,655,384,243,364,963,690,663,941,386,662,999,973,704,074,
552,271,023,914,326,635,853,987,965,025,725,949,136,114,388,477,548,729,322,
152,650,054,678,290,611,491,312,184,090,201,273,063,758,247,716,807,348,052,
684,610,777,054,632,342,286,140,327,387,049,190,045,392,711,323,005,879,815,
933,011,882,424,253,448,059,289,600,396,131,763,522,879,915,141,289,761,710,
176,168,861,226,008,470,066,848,556,805,403,943,680,119,006,311,454,273,988,
034,469,410,854,642,843,503,580,564,901,897,731,730,403,981,153,784,048,184,
126,435,266,796,076,472,301,523,015,616,092,743,659,238,964,691,451,389,640,
063,131,650,621,731,925,152,786,952,766,415,913,581,767,152,907,322,777,428,
280,679,594,991,213,792,679,378,711,653,859,244,475,183,648,948,227,276,634,
327,850,812,741,239,101,706,429,743,724,855,118,643,589,698,205,921,715,083,
440,022,898,028,283,683,835,149,554,328,564,961,611,085,041,787,642,657,355,
885,730,118,241,574,561,838,378,464,773,388,244,804,829,929,433,528,044,157,
819,409,516,497,113,546,128,468,662,893,673,771,937,483,063,757,104,770,181,
567,569,158,647,207,125,241,950,825,594,219,686,587,829,116,569,902,288,334,
470,318,278,982,071,474,946,168,612,911,038,918,723,298,944,038,261,159,096,
495,538,001,836,511,966,346,263,590,850,824,866,190,167,465,900,041,977,004,
305,803,812,833,880,899,881,152,941,668,536,564,758,479,141,183,097,571,278,
539,865,290,645,782,912,693,137,006,924,775,884,431,735,737,051,743,268,105,
289,381,270,953,211,879,783,352,936,496,556,921,589,852,270,004,181,425,632,
242,677,439,843,225,121,685,422,558,850,659,040,934,759,782,334,371,063,058,
146,712,710,512,178,180,936,816,423,683,776,761,574,357,425,249,714,581,009,
195,133,411,342,139,037,633,278,680,648,522,039,033,267,803,515,355,924,097,
894,191,695,782,134,459,659,746,734,077,378,899,355,768,286,020,555,852,434,
841,137,230,186,000,970,639,227,204,906,383,747,172,120,545,075,146,963,835,
110,363,859,521,573,721,197,185,216,373,767,021,833,490,125,813,126,625,525,
436,262,863,385,776,248,646,219,070,511,073,037,088,615,833,383,613,488,616,
296,181,507,216,897,545,204,717,534,169,881,787,253,143,530,628,835,001,910,
827,147,006,727,502,196,045,936,988,610,755,172,874,731,133,043,863,741,550,
525,845,493,982,177,029,701,043,714,279,335,342,692,233,478,242,857,457,392,
221,442,139,758,146,593,777,173,811,983,474,183,642,508,245,506,004,720,864,
887,357,860,455,680,648,572,319,078,283,852,417,141,083,065,417,874,420,888,
668,851,361,694,552,944,350,831,484,233,754,846,223,323,230,098,813,317,035,
757,179,653,720,018,550,126,929,304,444,820,283,789,134,297,506,650,052,340,
475,872,199,751,730,280,330,841,500,111,533,456,431,738,818,577,448,012,405,
672,204,251,437,679,243,550,556,597,528,158,528,365,658,153,447,733,316,912,
471,753,201,178,805,321,091,949,117,602,856,032,667,207,895,603,915,104,371,
277,032,345,221,452,689,122,008,166,697,806,363,164,676,832,622,362,254,000,
614,700,584,040,913,526,792,398,683,317,660,497,425,540,948,344,848,750,951,
299,050,345,031,659,443,011,605,123,418,714,896,496,007,852,840,817,307,686,
727,161,663,142,277,378,398,995,506,987,375,608,005,645,502,407,476,529,242,
731,293,517,247,527,280,837,592,044,581,656,923,819,582,750,246,143,108,705,
014,959,774,717,161,431,609,421,405,086,312,558,151,119,779,037,103,020,484,
048,850,068,791,264,525,609,032,162,335,713,368,286,687,792,703,504,674,799,
369,068,732,245,933,613,077,991,574,383,840,864,417,828,360,765,807,904,280,
349,449,902,469,119,080,558,696,375,922,275,288,332,357,214,496,443,921,189,
567,231,943,184,874,314,611,536,475,459,978,297,228,409,309,898,286,122,475,
618,874,666,343,927,034,342,374,071,055,337,015,161,139,018,177,601,997,003,
095,826,069,985,976,050,107,130,726,132,025,144,200,250,815,781,124,582,532,
056,242,012,365,772,555,664,325,603,606,661,264,814,745,819,899,880,547,642,
495,783,647,800,123,306,374,015,238,338,409,071,930,825,208,555,231,450,254,
324,228,080,885,618,950,149,210,372,054,476,749,751,501,155,418,269,632,330,
460,860,819,863,227,985,811,811,217,136,049,718,208,772,464,099,033,939,784,
676,893,738,475,577,568,899,807,883,192,856,787,321,507,415,767,491,557,694,
949,794,677,533,156,743,923,772,745,864,648,099,142,326,342,329,126,273,981,
132,993,066,982,801,066,805,695,317,471,193,569,351,802,108,988,912,573,353,
726,908,253,450,381,323,766,832,892,192,585,275,367,601,562,055,647,843,941,
683,395,466,058,655,122,918,549,401,688,115,269,564,830,804,645,249,431,563,
016,654,283,745,238,968,977,055,987,331,643,277,587,046,486,274,512,761,874,
128,422,004,263,797,800,775,334,967,004,905,531,968,673,704,493,035,691,367,
853,114,699,805,225,781,619,184,755,705,117,612,369,897,758,361,536,305,276,
170,733,810,429,296,712,377,269,418,396,394,671,700,105,980,273,687,910,376,
125,574,133,380,027,377,953,501,756,988,068,019,419,289,370,607,644,532,514,
963,500,419,504,695,533,940,990,644,043,700,400,156,407,038,298,804,257,301,
875,297,566,390,546,468,800,585,512,129,701,273,540,676,436,426,008,018,344,
166,348,670,152,409,146,749,429,886,771,250,894,217,982,614,701,967,061,865,
015,299,547,748,098,100,093,831,677,368,783,452,487,616,734,459,632,458,308,
455,647,283,459,414,273,456,728,887,491,091,353,631,396,901,823,124,343,078,
356,144,753,648,775,646,056,273,445,657,680,343,212,928,280,754,006,341,574,
216,382,310,549,755,495,030,551,173,302,954,675,367,859,209,334,150,446,915,
163,463,797,034,100,072,312,762,594,281,486,312,484,293,604,145,228,081,298,
215,234,864,537,201,661,609,142,553,102,015,634,070,672,481,400,458,052,095,
394,466,065,040,605,289,876,209,260,484,277,156,690,127,732,495,026,693,154,
208,643,886,834,983,437,463,904,605,462,252,036,153,330,390,274,068,732,717,
625,456,145,974,258,613,807,104,498,043,040,611,927,594,824,832,252,624,150,
154,396,738,067,066,716,634,383,339,432,884,387,549,890,699,374,547,538,133,
617,049,950,045,387,683,979,051,121,588,461,807,827,542,329,441,561,127,323,
486,429,889,113,034,377,668,395,686,831,727,293,194,378,150,097,965,681,049,
880,918,317,746,813,785,996,714,925,636,024,030,271,757,680,337,269,491,916,
681,524,338,632,630,150,128,652,227,257,260,996,614,208,707,431,100,734,430,
592,306,530,475,921,373,826,425,650,954,113,732,512,232,032,047,143,505,615,
337,596,962,329,492,363,824,893,910,708,866,190,028,618,827,704,330,146,119,
588,828,866,426,092,434,302,394,882,757,149,073,827,762,289,505,563,817,808,
836,722,384,092,574,955,202,408,896,294,828,253,022,551,082,649,603,441,908,
548,644,981,495,371,954,356,315,382,244,825,621,235,091,642,271,129,329,792,
260,413,696,200,005,274,225,866,882,553,367,963,030,366,431,500,054,646,501,
088,037,427,802,035,796,101,431,003,278,054,667,457,246,299,587,851,976,808,
150,876,981,409,508,465,332,363,369,401,956,255,168,153,985,365,308,308,945,
305,657,941,210,503,790,237,085,954,431,742,586,000,751,679,910,010,262,803,
279,704,487,955,254,573,955,739,310,795,520,424,471,023,260,395,635,303,301,
697,737,135,673,370,303,827,627,614,022,810,920,544,972,047,702,152,957,133,
916,785,888,429,877,765,833,208,417,038,119,072,514,435,221,059,631,131,273,
739,485,727,415,460,453,034,456,589,930,838,175,265,505,726,863,279,607,558,
978,158,011,933,408,360,218,262,031,647,682,445,941,644,337,492,821,296,107,
289,305,237,087,068,338,781,919,875,238,215,323,732,356,434,421,704,642,711,
513,865,472,082,965,018,817,702,204,394,598,064,402,387,601,295,493,428,484,
387,257,378,952,453,703,073,083,971,880,541,604,668,310,357,840,203,603,879,
788,098,413,008,689,321,195,854,919,645,640,441,131,844,240,747,077,180,029,
751,525,777,744,030,779,207,360,517,510,801,614,560,319,324,528,851,519,782,
925,744,334,550,916,528,297,258,454,774,858,373,381,340,774,981,140,329,366,
511,075,859,694,796,825,305,573,617,468,042,705,568,087,728,659,102,098,192,
244,601,822,700,740,978,579,034,881,514,614,785,472,206,969,126,361,054,394,
900,243,605,918,111,045,106,909,113,338,909,783,395,886,842,137,693,981,055,
732,500,618,214,410,586,955,975,023,555,980,002,490,400,250,790,521,038,280,
794,862,844,107,461,987,431,738,274,248,972,364,696,656,914,072,864,948,925,
217,637,273,926,854,959,365,319,535,878,284,406,502,535,029,433,887,200,845,
417,522,634,946,145,476,334,791,270,509,611,399,095,329,114,737,664,426,626,
443,910,494,830,671,959,188,209,749,459,327,322,195,857,837,450,522,332,381,
831,805,423,042,120,621,722,458,870,796,166,272,950,882,137,428,898,448,805,
482,691,927,474,397,853,786,164,678,862,061,915,025,934,120,619,122,288,877,
318,620,740,679,649,665,422,527,335,742,995,117,655,658,821,326,467,800,811,
214,997,380,679,715,945,125,238,779,426,430,475,182,699,514,636,271,025,524,
044,307,322,960,172,339,968,762,766,283,994,068,667,396,051,968,655,143,747,
262,892,596,710,906,386,223,209,188,064,002,733,173,217,644,897,547,802,182,
249,198,245,061,135,128,695,843,669,716,165,321,931,101,822,476,883,219,089,
889,323,619,796,893,357,074,094,316,380,782,966,565,635,503,361,800,622,288,
739,876,844,630,096,028,181,572,057,272,563,224,866,141,384,355,402,713,064,
825,430,295,952,183,694,245,253,789,001,613,396,465,065,379,956,944,126,355,
638,701,107,260,549,699,537,824,567,313,417,664,465,050,597,221,092,491,457,
331,808,834,113,853,138,213,341,151,732,176,230,518,547,920,409,301,251,841,
960,904,976,708,647,210,216,280,519,394,687,372,606,430,564,604,858,519,644,
873,525,947,285,541,722,524,335,294,253,210,078,236,015,177,753,386,348,884,
384,533,880,711,312,012,328,651,836,190,839,713,652,774,115,662,864,854,559,
784,813,579,554,233,970,767,774,921,883,476,126,093,105,440,351,118,434,720,
148,261,811,842,365,516,695,340,098,573,613,811,193,208,379,187,185,720,159,
733,191,869,167,322,207,227,626,940,489,999,216,140,748,409,426,377,179,269,
176,883,917,428,456,227,543,009,298,347,860,857,904,176,186,766,720,396,060,
994,638,501,972,603,887,545,158,472,680,091,982,897,810,342,567,970,604,012,
246,935,851,833,501,318,056,213,435,601,942,208,551,625,607,521,632,282,619,
030,253,783,818,629,604,502,860,835,028,336,377,941,851,323,867,339,829,829,
023,464,781,411,990,680,973,386,219,246,371,974,653,277,696,783,601,915,897,
716,080,530,842,910,982,857,249,122,027,920,774,462,553,514,622,624,779,236,
885,332,229,041,493,117,143,936,932,760,442,562,919,155,027,504,186,466,629,
650,149,651,449,401,250,922,777,042,614,083,840,530,157,455,403,064,065,443,
212,356,958,202,819,305,906,608,747,852,667,887,416,407,234,420,136,058,639,
657,526,385,914,436,027,955,860,417,070,298,214,241,232,771,983,218,525,202,
299,885,437,376,045,020,718,141,601,030,334,667,950,486,929,023,949,488,479,
953,744,277,623,355,247,729,068,861,674,743,331,249,930,608,373,577,964,093,
378,612,947,838,173,059,734,513,346,896,510,222,302,515,811,172,620,395,956,
610,167,149,189,783,267,058,704,791,137,138,515,245,452,624,495,572,968,624,
127,470,042,620,393,371,799,994,657,197,504,982,276,145,350,950,743,743,401,
247,934,196,853,408,467,858,726,858,024,960,307,709,074,349,530,551,032,892,
623,462,760,675,069,771,902,061,341,639,824,761,792,618,789,334,804,080,886,
127,297,305,437,700,743,691,562,814,005,002,852,265,912,757,369,061,243,373,
394,301,709,991,548,395,906,871,395,398,389,455,485,073,778,873,605,039,206,
925,573,995,553,053,887,128,179,264,459,379,542,824,099,653,080,348,979,484,
084,365,513,061,624,535,571,554,868,701,894,628,773,039,209,071,455,550,326,
649,095,424,154,608,093,611,597,840,217,919,613,388,389,394,924,336,439,965,
519,720,604,264,166,949,779,552,949,511,715,988,197,883,278,794,598,031,434,
304,281,317,651,644,189,555,084,805,024,137,146,856,574,829,753,820,450,455,
897,512,631,995,106,449,963,452,092,372,171,462,109,412,244,616,978,844,333,
661,790,323,304,078,514,558,005,321,901,334,603,544,018,357,594,008,173,090,
770,748,564,020,818,711,506,624,703,089,466,801,287,209,573,710,903,658,580,
932,807,256,058,650,779,650,689,206,124,764,805,893,034,279,816,603,579,426,
735,616,719,959,259,061,540,030,072,963,341,289,521,376,894,479,330,095,743,
479,033,841,368,048,275,366,004,165,607,656,802,843,981,187,014,618,106,627,
085,193,356,747,090,980,702,444,763,280,399,186,984,244,481,505,425,664,508,
642,977,180,747,114,705,132,796,819,988,440,545,418,257,279,959,648,449,887,
286,621,378,955,336,078,498,395,765,034,711,768,019,184,114,154,570,208,144,
488,383,424,011,146,306,730,160,547,510,953,153,435,771,129,507,164,971,468,
687,413,804,979,340,967,491,271,772,599,949,065,542,661,919,249,119,980,430,
799,949,812,562,365,395,917,645,483,169,629,244,692,340,691,034,627,683,385,
932,565,192,883,485,064,328,184,650,748,377,384,376,235,875,316,554,280,290,
149,933,662,274,561,091,281,389,882,844,371,216,114,301,850,512,536,741,582,
982,185,876,640,727,346,765,510,611,570,804,491,918,809,977,383,471,972,747,
631,531,661,355,564,267,681,495,026,167,025,964,428,636,240,540,247,671,366,
159,715,528,273,318,217,653,165,353,342,089,947,234,181,720,312,322,346,180,
988,224,424,795,164,271,771,928,157,886,078,049,595,731,093,302,572,841,570,
993,765,318,181,454,335,193,733,173,211,986,460,143,616,458,989,484,002,809,
253,698,557,295,053,595,209,657,384,937,588,305,971,666,916,316,050,551,174,
854,448,380,333,401,304,545,077,973,177,494,681,622,392,181,549,556,458,109,
341,354,050,825,863,823,238,204,004,572,085,438,529,583,048,018,649,218,638,
294,255,428,356,417,011,595,677,890,298,367,489,252,289,269,475,086,061,456,
699,810,525,398,118,330,181,908,857,768,565,688,596,462,481,516,186,834,211,
711,176,640,617,146,515,313,505,263,201,000,035,695,524,117,641,697,151,820,
528,565,168,453,972,553,465,189,666,979,644,422,799,811,211,270,694,550,756,
388,956,649,221,759,776,738,068,789,640,642,227,506,088,013,025,200,178,387,
366,137,343,624,098,509,298,302,156,522,578,303,293,775,970,011,023,953,321,
531,844,421,834,276,298,374,128,861,638,176,868,482,357,270,989,167,915,174,
845,819,580,263,264,907,714,097,471,329,514,176,275,692,551,380,467,646,751,
574,857,747,386,526,562,694,833,771,271,041,299,395,374,388,301,461,049,839,
986,110,781,060,465,985,829,220,107,271,949,207,771,423,180,453,128,810,031,
766,401,200,795,483,071,196,139,582,429,317,021,258,493,245,928,686,920,581,
529,984,784,599,961,922,871,317,661,813,782,742,747,517,097,603,477,925,217,
028,904,993,066,195,315,892,116,195,693,467,159,063,810,846,744,729,913,967,
784,546,130,385,929,256,918,327,268,862,693,784,492,104,772,079,408,837,719,
930,944,057,939,072,306,345,316,815,289,033,113,625,446,880,823,036,163,901,
965,580,349,875,501,745,177,865,815,907,812,768,145,726,203,647,965,337,707,
311,778,387,048,692,361,736,160,245,370,216,042,757,280,573,127,978,303,146,
663,996,750,314,220,166,281,435,052,426,461,422,494,228,581,795,022,137,770,
570,050,178,479,135,715,625,110,477,503,517,822,561,763,966,250,030,739,327,
579,640,888,511,576,216,518,561,165,689,435,432,347,476,261,438,170,344,588,
439,970,475,720,638,983,534,798,140,648,666,973,389,510,104,992,246,471,266,
282,837,747,187,345,411,801,971,141,062,190,428,059,543,509,547,551,409,617,
370,881,071,941,960,530,871,895,868,864,442,899,288,930,324,715,072,280,113,
797,202,442,529,959,946,292,757,066,967,021,490,507,506,023,978,629,408,001,
272,540,253,455,673,170,875,822,697,938,956,584,501,226,790,688,874,164,783,
561,587,386,399,631,556,889,188,928,210,419,604,262,790,732,595,787,983,037,
163,844,529,110,577,572,303,207,357,714,880,880,934,814,173,726,645,085,040,
624,984,221,995,489,962,720,999,526,989,622,709,176,847,422,981,715,396,293,
230,575,834,372,498,623,270,386,408,959,569,659,526,514,110,569,185,804,375,
424,407,219,894,532,306,015,880,231,798,353,361,306,973,451,578,574,220,304,
906,406,544,260,025,797,008,621,362,643,472,428,436,726,268,210,165,758,164,
665,871,150,674,524,174,389,319,397,565,195,990,760,538,507,870,981,451,090,
265,860,712,900,577,935,423,396,358,524,355,093,338,314,524,242,782,047,954,
090,684,784,638,261,736,144,370,203,050,303,996,060,263,395,598,060,628,793,
066,792,465,584,673,463,789,211,260,893,200,715,563,660,891,773,761,627,613,
235,314,920,006,690,810,412,509,645,871,438,636,045,795,541,684,991,235,960,
956,362,661,825,794,794,928,677,130,099,107,637,853,169,630,986,086,292,037,
525,253,337,872,158,685,025,153,641,468,288,073,102,508,718,976,012,291,578,
829,997,792,572,013,491,702,924,284,188,215,763,281,944,982,023,328,881,391,
175,596,952,751,287,889,943,386,343,018,138,956,128,251,828,900,186,787,862,
835,610,228,489,121,645,194,963,801,946,915,916,841,417,958,662,998,290,629,
211,872,218,724,986,850,573,852,569,359,684,279,557,198,440,388,134,075,004,
530,398,064,421,952,428,677,657,158,757,967,299,916,867,847,505,054,552,501,
022,083,620,805,673,532,641,099,130,924,522,226,537,097,213,551,600,829,973,
535,535,633,784,158,271,613,343,836,286,070,423,937,977,798,102,850,560,015,
440,769,916,488,423,339,734,089,058,349,226,265,349,503,695,658,879,705,994,
742,463,754,100,908,509,204,044,472,936,068,031,268,332,794,756,323,583,168,
875,462,674,861,432,874,826,373,789,517,421,517,851,823,985,599,785,933,950,
440,670,280,465,979,829,751,264,277,172,656,308,853,059,837,752,556,681,893,
153,068,617,215,751,429,542,176,322,103,899,325,178,308,992,018,072,666,838,
870,400,405,441,033,714,878,347,064,365,142,413,406,980,082,676,906,395,421,
159,909,688,139,420,232,624,766,926,208,398,502,792,654,532,063,551,771,454,
930,970,519,734,660,957,254,582,619,148,019,105,784,266,845,848,713,298,009,
718,308,733,088,371,985,699,385,088,441,642,943,880,701,706,640,650,356,046,
553,533,950,308,974,874,310,250,362,997,279,335,937,519,041,320,025,654,584,
746,940,396,837,455,182,378,293,856,009,111,500,548,459,421,081,490,694,748,
690,822,820,265,778,834,534,579,174,315,581,249,877,342,665,868,338,974,282,
348,194,094,660,286,312,828,183,136,454,915,147,152,187,744,587,350,055,127,
732,623,906,798,401,675,644,440,520,145,355,267,482,300,944,937,736,349,759,
131,813,874,657,753,269,162,244,080,825,189,417,489,918,480,363,811,523,103,
716,510,045,404,364,713,945,110,694,986,200,543,178,336,882,417,172,144,878,
035,561,201,944,443,400,321,584,876,710,563,893,476,518,714,933,501,083,050,
726,025,681,308,939,971,312,663,525,001,311,090,029,141,395,286,764,200,902,
134,939,020,476,884,805,960,978,080,620,402,603,833,155,204,418,140,187,140,
597,870,898,094,979,854,299,096,174,264,643,469,195,436,752,901,730,344,241,
977,749,743,524,551,842,859,643,531,020,269,744,163,181,337,570,538,242,942,
852,974,466,698,576,352,596,944,537,245,754,705,254,053,946,784,892,759,770,
872,865,708,272,188,682,751,000,527,068,231,941,933,906,619,973,488,313,637,
880,206,244,752,825,588,440,669,472,090,772,653,979,775,125,382,538,025,077,
029,715,138,103,605,111,976,320,847,447,141,852,951,605,809,469,970,392,047,
175,816,296,297,765,312,880,650,940,740,800,092,896,176,762,128,881,888,053,
722,402,526,040,368,215,882,137,955,929,248,450,427,232,693,213,051,027,371,
175,773,622,631,526,676,794,589,638,880,014,361,260,393,442,758,894,239,831,
442,565,300,653,330,930,714,196,263,528,836,849,027,758,471,355,025,801,068,
615,589,689,283,572,840,691,946,863,683,721,337,685,363,681,862,598,725,205,
256,255,906,821,956,338,204,803,182,783,206,199,171,706,945,174,209,274,596,
386,147,614,587,396,060,764,378,716,865,971,015,299,883,567,028,644,234,403,
595,015,923,252,591,860,513,713,501,010,667,664,068,620,450,054,447,567,570,
742,798,079,026,813,815,895,957,277,621,490,956,052,740,720,881,864,019,691,
215,807,456,959,735,164,691,308,704,808,175,111,544,668,319,837,515,125,011,
877,825,473,750,292,909,685,833,995,911,075,812,496,157,265,417,077,664,560,
606,719,940,665,045,123,263,925,200,107,507,268,733,433,251,498,862,959,950,
401,450,245,960,560,122,786,783,018,936,980,741,658,389,644,132,978,109,185,
822,468,942,094,414,523,523,292,535,250,228,946,966,162,332,965,066,222,571,
772,467,920,686,596,318,052,020,345,891,764,836,121,429,445,555,531,118,794,
686,471,585,718,039,865,526,388,591,521,879,779,919,280,911,105,702,213,558,
890,522,555,664,786,515,059,637,338,356,170,188,302,471,597,597,237,019,803,
334,299,031,719,778,443,692,554,207,281,292,334,351,553,279,886,255,034,163,
230,297,375,925,575,986,126,302,577,316,091,157,397,073,837,771,224,212,299,
766,279,785,168,085,677,298,934,176,009,206,835,949,484,050,921,751,258,542,
887,401,943,505,691,980,404,370,208,037,937,425,213,616,996,586,818,795,259,
701,305,396,858,635,313,531,977,212,261,163,649,686,817,332,928,205,928,664,
729,432,153,048,277,560,128,729,517,185,376,961,605,208,416,013,715,991,149,
841,944,160,858,380,988,459,348,179,631,669,128,974,681,809,001,761,613,111,
526,203,918,564,267,040,314,432,197,617,842,323,833,570,798,829,611,743,500,
044,440,097,975,604,610,259,092,198,981,303,756,770,046,824,074,369,696,312,
314,559,240,464,901,541,637,480,241,840,316,677,894,024,299,504,060,633,045,
323,772,725,570,372,101,288,094,997,451,121,804,284,069,129,112,224,589,482,
438,373,031,857,716,283,082,889,473,465,209,334,018,096,541,228,767,177,043,
628,719,553,230,833,880,423,099,676,906,352,148,743,160,003,313,119,700,502,
248,529,615,540,466,207,898,951,865,745,728,994,723,897,925,454,815,312,302,
302,632,018,967,514,362,758,293,116,348,392,710,006,570,833,259,062,508,911,
108,475,470,808,107,240,906,131,294,919,525,100,616,478,477,290,822,021,677,
147,046,336,076,262,745,173,885,851,292,980,799,912,579,972,829,309,338,054,
376,951,703,604,618,963,432,064,370,347,446,198,021,210,066,906,602,700,773,
590,239,111,917,256,628,482,509,767,854,904,314,657,693,624,605,567,864,304,
227,358,761,813,128,749,403,563,935,364,969,862,365,245,042,728,722,817,903,
366,697,600,362,365,729,580,776,722,364,673,293,962,072,438,218,430,566,490,
202,270,406,483,594,989,716,829,898,141,103,825,617,486,502,828,245,798,583,
757,640,604,994,183,199,624,373,029,378,634,149,532,215,437,854,023,414,394,
071,093,331,827,423,768,062,220,332,353,681,023,278,751,294,987,588,799,202,
626,167,147,514,566,369,247,400,996,719,604,682,736,520,680,449,499,008,384,
853,081,288,217,040,933,908,425,102,702,604,042,563,729,686,998,479,123,980,
005,899,136,423,154,465,404,774,746,897,196,292,848,356,006,802,763,722,554,
748,351,556,121,083,227,313,217,991,236,444,566,248,852,934,646,747,562,889,
874,181,413,447,036,138,840,073,582,466,827,279,786,392,836,699,671,795,061,
187,806,180,840,322,459,331,709,611,911,334,723,345,575,129,985,763,006,594,
807,792,740,167,971,698,526,794,573,424,908,678,009,654,641,226,699,196,494,
981,987,052,215,971,421,122,591,304,130,397,933,738,569,884,059,840,123,272,
883,851,669,515,861,062,151,465,205,113,943,028,976,326,061,784,421,809,816,
402,048,553,985,996,937,640,743,973,951,964,971,875,334,107,743,516,929,502,
607,724,751,380,762,727,876,203,440,856,011,993,098,545,782,773,723,275,639,
865,134,430,745,221,862,894,279,953,483,780,653,736,406,543,784,409,085,342,
703,476,557,011,216,372,944,886,397,962,856,438,284,572,849,868,468,904,889,
745,889,357,970,408,106,246,186,517,034,676,496,089,815,178,381,412,395,424,
413,565,328,388,883,218,256,814,858,417,493,762,907,203,048,084,644,023,423,
239,488,174,639,173,137,399,205,658,819,864,585,373,526,358,381,518,081,906,
142,074,255,564,613,557,342,288,652,696,092,667,004,674,581,016,663,230,834,
026,150,053,838,642,905,144,709,636,281,700,240,790,756,526,113,246,790,412,
980,879,067,867,617,739,587,443,754,601,553,426,039,426,916,071,309,689,632,
730,895,815,541,221,462,648,848,172,149,555,997,128,916,508,191,170,885,964,
841,558,609,738,008,915,404,005,302,519,699,373,865,878,890,854,579,346,402,
139,183,130,953,985,836,647,640,107,294,314,084,508,213,700,825,091,357,168,
885,608,091,302,848,798,528,906,201,938,295,422,203,300,316,886,827,839,625,
068,265,669,171,379,730,410,687,764,228,772,669,694,156,606,198,686,925,296,
217,694,203,903,364,901,335,326,735,824,920,682,197,570,203,183,169,657,783,
094,084,659,396,622,869,571,606,992,810,699,862,561,954,881,468,730,128,783,
682,808,435,527,176,910,271,432,228,686,440,658,643,352,051,754,717,981,358,
565,755,969,083,411,619,314,925,472,197,357,548,987,040,160,622,117,060,319,
207,859,702,432,225,300,703,902,517,161,539,243,371,201,719,394,705,466,311,
507,993,768,511,184,303,144,766,742,862,136,722,014,460,687,994,482,371,806,
243,116,459,237,231,002,214,382,468,415,934,142,649,901,880,235,113,767,013,
152,594,878,762,001,692,433,951,156,235,704,262,762,658,706,598,377,240,796,
966,221,760,327,762,537,955,795,386,335,542,576,926,860,391,076,325,048,169,
506,822,260,664,351,802,142,209,716,484,186,442,310,576,490,821,076,204,588,
722,310,948,677,864,486,918,208,371,743,176,152,709,587,341,588,658,286,378,
874,326,459,326,739,708,110,308,255,857,272,088,706,821,909,319,861,084,736,
853,575,492,036,845,393,844,230,006,021,901,726,087,855,249,361,966,288,852,
261,530,815,340,283,163,179,232,448,432,719,571,330,809,622,643,846,312,675,
351,991,179,851,070,578,087,003,623,220,170,047,190,820,400,649,437,659,242,
285,849,840,783,425,358,119,494,852,141,979,643,902,168,901,056,328,874,400,
513,500,873,537,194,611,615,772,719,303,615,079,598,184,819,985,602,782,071,
558,050,314,398,838,128,717,085,074,185,328,802,166,964,693,147,270,661,359,
451,181,211,562,883,622,859,663,636,434,779,240,014,976,116,593,039,989,739,
362,705,421,122,730,180,397,777,047,227,861,073,265,780,052,681,232,467,671,
138,419,408,315,195,453,182,966,871,969,669,244,936,888,648,862,298,649,095,
033,238,347,318,663,608,001,935,059,418,870,431,842,220,802,418,312,047,654,
099,603,757,028,513,042,275,972,977,554,786,050,120,951,777,138,103,889,378,
583,707,499,028,964,272,633,577,946,413,923,663,804,069,758,492,074,176,617,
674,937,247,983,940,326,039,385,690,518,314,975,988,701,476,557,011,047,423,
132,656,840,312,163,550,019,747,789,267,531,756,868,623,796,372,162,463,438,
732,807,667,312,315,755,616,715,792,363,214,874,628,644,046,250,713,768,415,
015,411,340,270,149,012,055,008,442,938,654,111,382,313,828,881,179,174,304,
163,469,922,019,355,517,210,262,321,221,790,471,333,480,318,729,261,269,230,
896,157,068,956,307,113,604,298,865,436,638,774,568,484,428,890,608,985,279,
576,795,670,204,806,123,669,312,876,641,497,931,019,294,744,306,791,810,925,
957,736,767,614,066,447,276,738,466,582,732,243,528,782,988,750,488,842,254,
066,236,476,328,680,662,404,886,714,435,756,283,191,713,392,835,269,697,898,
821,205,460,106,268,326,782,414,659,867,318,941,092,907,028,491,254,478,168,
654,371,919,116,189,262,556,066,377,121,075,419,128,100,360,974,773,911,374,
218,098,971,720,743,574,362,373,888,572,375,095,238,541,363,716,045,390,419,
593,255,431,490,785,806,380,955,912,980,377,679,768,924,005,273,241,249,045,
842,228,168,278,408,202,617,013,614,843,138,693,342,045,103,866,440,628,705,
904,392,629,866,683,182,278,265,002,290,584,008,906,947,289,991,459,193,224,
651,058,487,339,962,586,226,153,050,729,310,446,019,410,579,479,187,277,898,
870,305,607,952,425,377,533,231,839,600,365,068,588,773,132,847,350,083,566,
889,088,435,682,552,510,051,345,571,106,678,517,485,256,652,178,431,774,043,
075,080,694,629,957,233,505,526,901,671,068,428,048,726,648,452,914,485,247,
446,150,382,105,095,566,510,117,963,930,708,973,463,228,696,892,450,386,787,
178,442,709,074,327,555,748,301,972,231,824,583,937,546,608,151,586,636,429,
495,269,379,091,230,980,718,022,629,627,884,696,515,815,349,867,588,704,894,
583,699,799,695,774,131,908,605,373,373,190,510,791,269,487,704,080,524,856,
745,054,333,877,173,230,852,149,722,138,074,418,244,514,737,864,384,215,525,
193,134,799,655,649,600,250,799,967,710,415,277,266,080,524,362,484,762,986,
832,762,324,289,471,507,289,423,264,346,464,812,755,229,551,972,093,440,903,
780,994,458,903,990,767,815,437,643,493,217,399,482,771,056,814,433,853,206,
644,302,056,465,668,253,443,954,180,951,416,843,578,327,082,363,781,291,537,
185,421,485,173,553,094,311,826,139,699,510,297,766,575,776,971,589,004,377,
759,065,523,418,817,953,241,234,635,658,855,702,156,114,996,508,317,489,489,
437,650,079,613,679,716,526,288,171,321,707,711,774,328,497,915,264,878,073,
816,398,920,506,428,169,355,170,965,787,235,437,962,153,786,670,266,898,623,
491,457,371,799,044,975,695,935,398,943,550,383,612,261,345,085,943,774,270,
777,924,530,655,339,493,815,072,585,246,349,878,174,382,099,721,630,993,587,
578,674,369,700,479,841,911,625,301,278,196,104,170,538,226,973,957,459,173,
340,888,974,073,963,627,606,033,062,487,241,577,813,206,202,184,524,059,447,
624,673,358,204,422,793,029,244,476,102,356,703,277,864,346,369,286,624,560,
221,381,980,797,740,950,250,647,213,064,370,116,230,392,350,248,688,449,591,
610,323,731,590,069,917,092,190,684,478,003,543,179,277,018,807,320,112,750,
420,095,294,752,779,836,780,387,615,761,960,739,872,824,075,679,269,716,655,
697,337,279,620,714,906,465,794,071,239,276,490,626,157,995,960,254,595,825,
318,773,084,688,107,630,531,319,285,897,188,087,507,343,069,641,924,176,026,
284,203,714,148,033,581,031,041,895,073,524,777,034,523,880,187,407,752,753,
606,976,045,872,563,387,256,894,076,606,778,854,345,258,693,405,607,741,733,
364,349,947,838,863,457,279,003,463,924,126,317,892,045,667,872,778,133,842,
570,820,075,739,755,880,488,907,624,622,134,636,909,031,558,946,787,642,680,
732,240,951,178,221,455,319,174,935,039,792,863,935,114,573,613,322,674,567,
809,237,344,252,621,929,545,134,591,358,824,269,246,290,802,538,782,566,555,
691,024,846,333,915,177,177,523,690,913,824,599,276,406,003,440,858,401,193,
211,828,035,286,422,039,639,477,016,578,848,879,468,369,100,717,706,574,052,
347,062,058,737,351,271,607,384,175,708,747,723,762,112,197,078,314,399,724,
958,809,396,547,043,866,511,378,657,581,588,443,490,253,576,658,945,681,828,
824,323,032,994,869,279,556,050,524,407,697,602,655,726,753,330,075,306,929,
765,784,657,652,522,156,892,267,217,296,690,908,986,690,359,726,109,432,868,
378,551,831,742,426,806,580,412,405,554,392,058,864,187,506,020,644,655,282,
287,707,210,139,502,059,562,894,714,787,323,792,895,633,748,664,735,913,678,
904,492,873,061,490,307,219,861,413,153,069,680,090,158,992,010,986,714,695,
480,626,215,078,421,010,816,395,222,768,051,667,258,774,389,650,709,864,939,
311,355,995,898,516,523,855,847,308,367,069,305,097,235,858,660,629,238,973,
365,066,113,954,182,279,891,522,027,929,043,460,072,378,691,327,264,260,109,
295,019,052,979,499,564,096,739,990,582,891,341,065,062,681,026,423,442,459,
185,903,567,250,503,947,172,914,453,380,065,052,672,698,955,592,298,041,036,
984,950,634,405,306,915,450,302,580,894,605,319,736,995,931,608,231,779,908,
048,129,905,440,688,940,323,495,645,546,020,596,614,677,722,111,077,142,499,
735,249,489,722,006,558,357,244,687,332,017,861,045,069,792,829,574,435,427,
383,568,846,885,946,866,064,794,775,473,473,134,164,564,378,313,481,269,962,
720,562,443,660,521,020,635,769,725,043,902,106,318,998,651,356,611,422,201,
400,957,931,765,502,786,726,776,345,614,150,517,429,532,529,295,837,361,875,
086,303,691,881,317,633,344,601,182,386,638,578,716,213,567,009,219,355,637,
126,305,182,028,316,902,173,726,210,741,189,198,859,523,536,884,604,684,184,
868,691,818,827,995,137,125,666,856,516,368,855,847,816,078,908,156,092,611,
527,477,513,003,441,979,801,311,990,661,533,224,742,765,049,733,260,727,314,
737,806,241,679,722,073,559,481,348,878,139,239,274,917,491,210,115,148,163,
503,202,257,118,776,983,849,082,530,185,935,455,052,156,905,479,376,675,230,
926,879,658,194,065,742,424,841,068,035,544,034,044,321,223,157,145,823,355,
596,460,373,312,814,441,321,914,127,569,144,740,116,239,277,132,407,801,940,
926,016,259,259,990,013,508,877,401,197,620,335,134,004,713,845,517,330,113,
661,866,748,507,037,767,259,008,791,473,748,260,225,931,994,246,835,707,392,
629,060,196,748,261,777,774,712,555,495,689,884,126,624,601,844,295,275,045,
718,365,473,360,890,099,353,523,553,685,924,402,591,978,516,517,014,408,428,
518,495,451,123,888,769,848,727,001,269,515,497,291,603,332,216,249,421,034,
049,595,062,959,519,832,962,671,073,547,871,261,471,963,683,390,310,602,332,
602,058,325,350,794,992,823,996,196,295,339,653,071,544,253,520,693,951,100,
465,143,835,782,796,512,707,493,896,157,764,163,030,653,785,745,786,180,597,
065,411,723,217,168,480,973,773,463,920,867,060,245,805,461,571,142,600,700,
706,058,989,910,995,871,715,616,680,679,342,346,803,429,817,136,207,506,771,
100,731,497,530,642,757,114,558,206,046,358,148,131,063,325,036,623,159,569,
960,749,589,371,079,050,363,627,501,532,501,049,196,372,498,884,828,580,948,
870,391,143,593,537,007,159,828,333,828,952,551,767,243,777,821,158,694,815,
743,266,840,513,174,226,012,752,622,762,465,318,265,056,782,052,336,049,942,
155,202,496,145,651,882,331,862,983,322,791,011,927,148,973,802,472,776,694,
706,143,865,920,776,134,887,903,613,598,316,253,257,628,402,645,290,558,791,
491,523,954,155,991,501,350,085,493,475,938,468,828,017,845,203,368,438,060,
580,697,039,036,927,133,118,915,889,824,593,087,169,329,550,577,956,802,497,
497,053,651,540,683,153,130,094,906,350,528,649,049,201,650,572,361,965,288,
307,506,971,452,747,908,537,290,500,466,730,752,190,698,913,746,146,186,234,
418,350,304,941,370,563,668,178,361,219,873,438,917,546,964,104,244,751,057,
941,105,538,273,126,315,007,159,619,756,041,694,009,724,689,663,391,031,985,
212,841,520,243,248,816,959,188,134,453,170,343,521,519,855,895,091,021,559,
676,457,745,885,016,732,219,961,817,508,827,471,811,075,157,858,058,560,435,
245,367,229,423,723,642,892,597,610,947,455,125,967,407,081,039,362,447,447,
094,020,506,197,243,988,056,497,762,054,234,439,916,184,289,356,984,198,824,
153,263,322,202,118,372,745,315,771,962,118,877,366,423,637,038,619,746,656,
759,724,806,861,324,836,323,127,450,996,294,342,806,648,026,416,876,375,624,
901,579,333,505,062,425,274,575,551,661,812,534,781,404,810,310,877,030,575,
818,205,452,069,894,874,692,787,807,652,372,795,556,802,759,009,478,335,774,
177,737,534,857,460,588,860,094,940,860,352,123,298,320,505,493,148,478,410,
198,729,097,245,494,122,418,502,465,547,240,047,561,528,419,617,593,869,655,
296,399,950,665,583,128,985,913,205,199,458,501,311,666,383,294,812,204,312,
055,591,573,975,535,751,404,162,831,094,964,168,397,558,223,805,696,209,369,
252,870,715,879,453,331,205,854,486,673,592,684,206,145,040,418,145,936,915,
090,880,152,967,465,603,178,429,588,879,051,445,916,448,069,760,917,509,929,
616,137,126,758,384,388,106,391,081,218,723,643,808,609,708,277,161,597,520,
423,761,543,777,443,220,490,411,555,504,903,675,838,101,567,150,866,360,432,
371,435,560,267,835,791,708,733,092,461,193,373,923,854,051,505,502,919,667,
666,008,428,081,476,206,819,298,591,407,000,691,866,571,303,634,811,668,765,
800,460,250,292,505,826,338,050,260,581,487,565,227,868,343,499,887,654,795,
060,672,526,111,949,322,601,645,680,288,062,836,195,438,326,172,494,870,330,
582,997,871,968,611,843,690,799,415,386,011,467,490,029,007,988,553,154,338,
481,350,154,968,730,502,654,420,652,656,044,604,383,360,708,000,828,247,917,
014,423,581,351,324,845,117,550,326,520,884,800,865,760,262,272,005,089,358,
143,825,863,404,993,341,272,492,454,290,299,954,159,650,784,734,409,471,326,
487,483,702,064,851,626,452,663,128,918,941,407,690,087,027,746,172,505,166,
896,799,491,832,264,750,343,400,370,074,041,266,454,681,597,722,184,092,964,
644,644,872,160,372,358,763,866,725,029,410,703,489,154,858,160,732,893,554,
170,065,952,923,766,720,943,669,842,809,618,535,784,042,928,581,859,588,235,
844,132,397,861,491,434,479,925,134,055,279,797,604,186,037,551,710,624,875,
665,796,231,171,092,813,122,048,769,774,967,256,152,433,547,465,853,390,947,
459,194,005,752,388,454,420,041,352,521,602,246,624,685,929,047,203,646,268,
134,510,328,063,737,340,388,628,224,223,895,151,032,143,965,999,128,674,465,
225,982,473,855,906,442,743,557,804,051,720,903,288,965,530,345,441,776,401,
782,029,720,002,191,894,612,938,883,550,759,997,718,095,287,163,706,868,771,
859,836,371,222,575,269,851,630,632,515,999,081,159,538,109,554,864,634,575,
282,685,399,703,632,266,265,228,276,040,749,932,039,769,996,480,626,788,024,
143,977,208,133,661,941,811,097,328,618,486,009,616,450,402,259,817,230,937,
855,811,137,100,172,726,210,748,501,946,248,496,339,666,538,962,419,378,877,
765,703,868,892,848,516,878,811,446,940,946,622,268,994,119,061,420,563,961,
926,739,654,420,478,053,890,796,340,513,309,434,524,603,290,960,718,652,232,
367,337,604,478,530,177,083,871,572,216,025,347,496,497,060,842,329,854,997,
109,469,813,859,559,704,555,978,770,718,803,607,411,140,371,991,284,487,110,
543,248,149,856,197,261,278,883,854,885,974,485,386,420,090,352,446,202,487,
383,279,692,223,683,742,621,777,394,737,607,758,651,898,395,461,793,433,640,
496,208,223,325,037,249,166,058,073,984,501,740,302,794,754,239,976,229,327,
509,527,457,321,640,380,566,890,886,969,174,881,204,926,322,530,426,423,618,
966,889,316,302,570,182,810,789,981,665,086,921,494,950,117,124,751,836,510,
574,169,830,642,221,332,786,112,690,919,099,938,137,730,650,001,356,310,454,
743,079,126,415,165,195,289,575,854,616,530,081,559,971,823,310,038,340,772,
234,004,818,118,006,562,539,302,516,803,398,386,067,402,906,960,358,353,979,
287,147,460,635,766,158,556,659,369,257,529,930,637,967,692,588,108,004,429,
150,780,652,515,207,586,600,017,448,999,782,002,809,769,057,768,998,333,748,
277,733,548,921,202,713,849,859,298,324,236,854,800,046,307,332,734,498,035,
296,757,266,938,239,495,481,162,620,160,726,028,578,509,759,872,138,002,524,
509,617,515,607,473,790,635,424,333,671,090,819,620,642,794,563,666,692,579,
430,489,082,251,040,986,668,335,481,143,582,609,129,443,340,851,813,641,272,
807,562,179,411,295,864,980,437,727,539,671,441,361,401,201,711,909,099,044,
238,940,106,469,847,411,266,539,571,663,316,227,013,582,139,551,127,955,255,
119,916,759,290,253,955,735,919,249,828,678,599,719,613,692,698,012,439,521,
143,062,679,546,407,396,660,967,017,059,534,533,984,692,280,048,641,064,699,
629,058,404,248,390,107,263,173,437,511,017,989,770,757,963,788,625,213,778,
230,017,725,788,424,693,842,175,854,632,456,481,803,209,077,452,729,566,458,
389,987,797,997,037,354,954,169,011,823,106,958,932,186,578,867,364,152,166,
962,493,741,071,543,821,175,772,818,000,212,047,357,966,500,028,278,021,123,
964,022,482,867,248,578,021,033,343,672,925,492,810,600,973,264,576,009,642,
482,589,679,505,027,765,336,265,480,185,351,157,335,689,887,067,658,336,108,
567,738,126,343,543,854,756,486,576,738,982,773,269,363,358,290,372,305,191,
708,423,105,376,941,988,093,079,579,259,332,524,904,619,844,373,423,327,021,
929,675,805,240,919,724,218,931,809,743,497,755,057,777,686,553,303,656,497,
497,080,815,146,987,160,553,882,529,421,036,885,451,068,992,045,020,160,798,
152,737,791,843,129,794,911,420,580,372,341,000,136,895,155,418,065,177,357,
318,281,159,810,776,466,636,038,217,801,268,180,225,588,808,690,143,666,357,
599,663,553,404,165,919,819,325,670,676,256,123,366,975,059,434,360,073,275,
545,516,193,556,854,711,764,538,146,734,064,340,332,024,778,766,384,285,337,
038,447,422,989,684,590,370,632,331,319,123,603,140,929,456,157,944,191,602,
442,172,726,371,091,209,213,349,626,741,363,868,673,314,120,206,845,467,775,
104,724,996,490,322,757,863,214,424,105,315,228,002,374,644,182,428,228,912,
423,202,984,955,568,504,513,771,178,010,395,307,990,642,986,009,372,229,603,
872,136,478,833,453,164,771,032,042,634,485,940,231,654,805,838,140,667,853,
019,008,555,640,052,906,263,765,147,846,837,287,820,146,657,188,640,150,448,
675,295,047,687,681,083,171,000,048,941,325,326,672,573,910,419,142,438,571,
368,343,237,061,039,154,306,821,271,448,078,256,078,965,262,168,661,031,621,
678,181,690,338,444,445,678,196,039,563,999,059,771,212,807,727,439,224,092,
276,382,034,536,046,994,904,932,815,310,187,038,081,454,619,699,614,857,154,
133,842,043,567,819,593,722,465,513,344,258,192,704,161,309,637,275,701,630,
624,114,457,658,255,120,708,245,875,353,692,917,437,595,956,460,733,707,175,
184,834,409,488,430,913,337,695,497,973,490,683,725,005,995,583,145,554,146,
089,895,367,703,762,547,596,615,811,365,942,345,480,142,357,705,662,923,491,
107,251,069,849,173,808,638,579,999,934,693,030,704,003,390,130,972,657,410,
783,143,564,849,828,309,729,517,716,839,538,653,738,761,767,303,263,409,945,
383,653,403,366,933,396,744,302,218,168,389,635,668,551,665,157,847,664,993,
089,183,712,253,348,778,980,828,842,526,738,428,043,620,113,458,051,283,770,
199,393,482,024,516,484,657,760,346,941,758,077,220,032,943,246,018,504,122,
196,145,541,212,380,172,345,315,874,507,133,377,969,228,086,492,713,796,928,
721,746,649,126,329,693,051,539,847,834,840,719,380,133,997,276,428,027,951,
104,738,941,284,166,420,979,215,672,695,037,455,815,636,336,195,972,832,136,
869,892,042,571,399,344,457,611,592,400,061,680,838,420,829,719,023,318,277,
622,504,831,830,631,895,476,617,063,846,909,854,299,596,882,545,261,130,353,
021,397,643,657,417,553,828,426,062,427,267,520,440,570,942,441,453,181,131,
599,326,312,614,937,793,924,986,674,145,565,942,810,039,569,727,124,741,207,
920,398,555,121,475,254,574,571,806,668,544,866,467,567,487,715,405,823,361,
853,549,715,727,921,686,615,418,280,724,308,533,349,001,466,277,508,907,053,
328,310,475,642,350,152,306,699,486,182,248,209,416,911,553,887,239,620,572,
180,284,185,268,048,115,354,464,048,576,776,755,237,343,571,063,338,492,104,
229,725,939,017,009,938,925,792,742,665,161,580,407,632,876,799,542,343,607,
185,769,130,141,881,197,293,414,745,594,041,055,546,382,217,850,029,235,361,
612,272,711,613,706,036,381,283,466,527,047,587,268,506,947,671,492,673,565,
669,712,191,002,950,706,136,829,645,824,418,460,537,351,371,904,984,519,087,
343,165,239,809,832,680,390,478,068,241,956,414,750,730,255,617,066,907,964,
888,862,451,490,266,371,882,292,822,752,096,116,052,685,970,600,794,605,516,
916,493,004,245,090,122,241,527,059,054,665,210,777,166,419,845,113,819,247,
610,263,543,335,837,035,700,471,755,732,243,497,097,067,719,508,062,504,185,
760,158,804,768,174,212,686,364,445,967,015,086,480,247,535,334,834,851,632,
668,416,679,481,305,873,924,874,383,393,943,413,241,630,846,074,443,218,363,
486,832,800,687,759,799,593,050,938,504,358,286,209,330,343,569,264,351,625,
343,206,154,774,126,777,207,423,241,731,113,065,676,027,965,149,795,404,649,
128,087,930,111,109,846,766,384,387,624,264,027,277,860,639,207,576,635,485,
998,386,558,066,480,777,716,360,133,259,010,641,251,697,127,792,614,082,371,
664,022,518,392,542,315,484,536,016,697,251,417,027,272,073,434,772,022,320,
290,326,912,474,505,268,501,489,358,336,930,633,308,295,926,557,782,573,966,
553,946,804,026,775,329,396,932,686,951,985,972,173,020,292,704,765,091,950,
963,234,404,045,983,953,961,725,310,368,575,210,869,280,126,364,103,939,336,
253,533,102,482,884,337,486,813,186,586,015,688,708,251,448,279,994,302,933,
744,978,750,028,977,057,389,613,751,716,394,615,327,131,041,369,728,681,601,
966,865,953,838,489,186,009,842,941,354,309,706,826,836,856,331,276,319,523,
333,304,004,263,247,796,230,943,198,076,374,576,281,290,578,112,113,407,734,
622,790,170,538,844,171,344,716,517,033,968,038,958,004,313,093,304,973,180,
364,902,769,664,357,160,422,809,466,840,546,685,462,317,112,988,947,338,336,
437,800,615,921,451,548,245,576,959,819,966,695,143,713,846,256,369,252,967,
860,393,976,180,435,315,114,231,354,639,745,811,933,502,801,341,232,469,545,
183,595,229,003,473,919,173,045,251,788,184,844,150,483,266,122,248,224,427,
911,874,705,367,773,594,005,625,138,218,279,795,009,048,696,897,741,174,436,
270,689,738,769,912,620,734,251,513,918,215,614,854,088,195,496,394,609,214,
291,466,496,552,807,443,703,884,173,940,212,236,040,143,604,244,565,222,117,
090,142,880,971,661,166,320,821,425,378,868,474,978,136,958,080,749,553,193,
602,566,542,576,980,506,831,471,733,772,551,056,960,286,306,711,731,446,874,
751,314,050,902,935,808,522,792,892,886,697,499,829,436,262,552,923,906,767,
493,173,502,858,074,949,794,516,860,998,003,833,871,488,593,303,203,545,252,
516,836,531,404,247,996,539,828,102,067,135,981,074,904,623,470,973,635,638,
201,341,298,266,141,718,755,395,747,926,030,163,124,205,497,175,044,118,123,
239,426,165,011,345,571,045,704,179,660,762,357,234,191,313,369,472,284,440,
023,116,092,906,686,693,382,883,248,382,752,694,158,223,578,001,987,218,501,
918,121,548,652,333,908,652,656,220,153,241,323,102,095,133,491,456,671,766,
405,042,267,372,563,407,162,474,994,544,696,101,838,777,689,620,291,777,245,
283,697,991,417,198,121,675,242,872,380,707,925,461,111,040,139,937,828,458,
571,308,054,895,466,164,945,219,898,802,810,298,845,245,149,482,703,053,041,
542,581,735,792,468,439,463,322,317,902,659,300,839,146,420,028,948,115,310,
229,880,925,673,142,654,153,211,947,050,244,600,856,124,519,819,199,204,306,
973,915,628,132,351,243,059,418,438,526,184,171,409,125,221,968,345,534,910,
256,553,663,491,786,954,458,921,595,834,845,249,721,166,549,266,038,387,246,
405,560,876,024,378,806,152,500,976,279,611,206,118,206,146,898,257,861,946,
835,134,237,082,262,433,150,215,293,668,671,348,241,415,626,716,505,900,209,
441,857,291,203,031,527,521,963,936,889,130,592,714,055,402,798,521,382,924,
491,992,637,055,301,489,038,921,921,170,688,558,222,523,692,953,362,468,775,
178,822,022,743,364,781,429,565,807,219,197,449,667,386,366,396,375,503,679,
979,369,087,675,136,731,470,532,369,315,947,871,058,948,498,568,709,132,256,
368,422,766,719,307,395,230,678,588,463,466,818,171,085,603,722,961,358,609,
099,759,889,732,169,925,202,743,150,670,983,701,122,975,657,415,349,144,748,
480,470,592,062,654,980,430,645,088,406,753,077,465,508,073,970,633,084,825,
176,724,160,216,130,466,500,518,275,943,525,725,892,296,782,742,336,516,697,
299,134,339,862,600,493,669,014,960,083,741,024,533,859,344,500,937,389,289,
156,664,485,654,388,014,004,391,471,242,278,094,966,928,947,122,969,128,290,
267,428,746,037,401,461,538,604,299,691,678,909,692,819,913,265,341,375,739,
550,750,787,717,112,627,835,601,398,382,154,290,611,453,993,691,959,393,146,
443,791,325,419,796,826,721,154,901,901,546,577,607,700,971,958,074,986,916,
039,540,168,348,955,286,140,384,668,903,586,151,811,681,681,112,670,261,715,
594,764,068,958,226,744,754,501,365,584,248,446,072,982,758,468,236,487,173,
923,912,366,799,075,983,617,351,565,260,883,216,729,981,011,137,636,185,948,
146,575,401,320,719,317,717,852,699,026,749,609,847,734,902,783,530,496,512,
903,556,237,136,582,449,987,880,813,887,300,432,850,785,403,981,498,544,405,
585,934,814,485,367,807,344,756,654,443,438,596,935,517,471,814,921,217,402,
205,674,567,777,686,260,823,501,127,362,925,864,135,187,810,170,205,127,219,
180,009,068,455,046,129,184,416,336,934,367,080,749,256,255,450,003,367,228,
943,723,253,109,081,510,596,304,744,179,418,521,966,867,119,861,001,767,384,
435,680,900,174,420,259,417,856,400,240,090,559,794,519,043,105,805,536,266,
772,402,094,307,263,957,135,666,449,134,998,302,502,701,265,945,066,670,287,
813,447,285,834,732,855,133,828,366,441,846,559,060,384,452,734,008,298,985,
939,444,448,811,916,313,219,018,206,327,425,990,154,991,388,562,359,147,657,
742,227,835,599,619,613,100,812,657,589,730,694,473,176,667,949,282,386,592,
326,875,599,522,801,874,748,485,231,600,653,002,270,905,939,566,509,922,831,
189,325,228,031,351,515,655,184,027,064,534,321,413,352,690,020,435,564,404,
837,676,529,835,703,738,471,667,720,730,994,687,910,641,550,297,661,848,801,
449,208,413,393,630,011,606,039,936,151,969,755,750,627,387,904,936,420,958,
359,610,441,967,562,231,638,066,038,307,023,731,967,978,712,595,902,654,215,
051,623,563,423,867,821,318,600,533,532,970,363,447,944,107,866,178,097,818,
270,938,176,583,331,594,271,212,968,036,833,634,980,271,249,406,258,355,538,
818,988,153,798,707,868,681,607,632,234,083,777,864,916,895,577,251,357,451,
200,995,790,024,746,851,476,897,756,990,384,957,560,721,048,569,149,053,419,
682,486,381,994,515,949,375,835,474,789,588,464,061,405,110,084,648,392,868,
503,597,669,868,369,456,382,273,446,577,412,107,321,392,054,335,641,072,507,
939,893,314,678,378,772,382,487,436,462,234,696,169,444,537,000,719,515,326,
927,411,183,319,714,255,812,073,604,647,793,059,490,998,582,034,673,678,499,
010,232,838,070,097,650,397,101,558,475,734,748,420,087,838,030,742,358,695,
990,004,884,338,849,983,704,317,755,125,986,860,469,670,243,462,147,269,512,
150,348,198,208,078,339,448,488,519,031,178,874,509,280,370,391,199,590,443,
826,626,089,628,442,197,289,978,640,132,152,306,996,459,041,984,471,620,698,
034,370,254,075,298,877,956,935,291,410,718,599,004,017,312,039,318,266,121,
146,622,362,994,105,241,009,842,127,492,351,434,837,722,222,390,736,248,026,
579,002,111,760,292,105,747,939,795,551,303,970,627,911,411,380,219,748,837,
809,120,840,199,059,050,350,015,161,665,263,958,704,564,278,996,591,290,991,
062,168,386,217,374,453,778,102,315,276,355,764,350,998,503,143,147,690,230,
615,476,952,835,256,762,059,268,402,293,795,919,836,163,202,549,747,758,821,
131,850,468,229,073,309,513,896,522,214,790,470,741,075,861,565,256,840,207,
299,141,623,236,751,885,474,315,938,958,091,209,581,666,688,962,535,243,802,
083,121,123,502,160,191,863,474,675,944,465,809,633,589,186,795,740,947,327,
142,436,430,900,453,779,018,250,131,157,287,962,020,561,705,690,417,612,981,
771,651,836,239,573,797,549,523,080,336,304,547,629,588,008,138,850,181,769,
768,100,405,453,303,550,796,199,841,946,318,760,325,631,372,459,505,576,056,
405,171,563,442,686,482,536,712,684,140,443,189,774,050,987,033,603,621,206,
440,766,564,787,975,453,570,012,889,207,931,632,659,668,457,400,115,001,571,
721,383,461,647,316,321,815,156,329,753,775,371,160,001,483,141,062,885,292,
164,771,863,367,947,858,797,048,951,074,748,035,751,809,644,459,866,430,533,
483,614,826,025,396,337,554,318,333,671,238,197,317,003,389,212,865,036,404,
830,608,141,251,017,436,611,041,149,456,099,051,164,165,818,176,841,861,514,
158,560,996,906,560,316,839,962,638,092,180,521,958,018,091,574,294,217,957,
269,663,522,013,402,996,269,563,811,734,513,083,229,183,466,342,524,392,527,
203,900,222,536,284,227,615,811,522,487,172,153,545,575,564,739,631,603,488,
001,219,572,926,334,591,166,825,209,645,576,967,575,296,706,400,716,205,279,
743,749,222,461,123,662,179,929,829,278,980,705,762,643,919,457,924,896,614,
415,699,230,609,151,973,238,180,957,257,128,027,000,873,717,761,036,444,904,
453,806,627,149,275,019,723,760,600,408,271,342,674,617,025,988,092,910,297,
414,237,354,418,808,104,650,719,865,978,703,847,483,938,663,014,083,992,351,
621,698,210,388,986,545,674,128,166,393,888,239,367,358,499,912,506,294,304,
130,436,744,433,296,046,813,116,915,393,651,882,758,244,407,310,841,378,307,
152,891,206,379,519,134,406,815,533,928,117,992,586,123,797,527,524,376,138,
686,282,524,858,588,362,004,137,366,421,372,771,090,793,603,179,457,971,475,
897,028,632,789,881,215,664,480,637,135,651,518,082,614,901,167,764,566,567,
648,142,162,432,236,493,799,096,942,990,753,619,702,903,113,544,482,808,009,
996,908,599,804,279,433,887,233,942,757,089,142,972,370,169,733,583,845,855,
210,781,220,165,162,396,949,549,193,062,929,984,536,766,932,196,737,944,312,
283,581,932,038,138,395,719,791,749,650,249,378,937,809,891,666,183,135,737,
852,193,839,924,141,674,178,381,815,872,758,615,221,586,739,463,767,056,527,
763,123,909,425,643,145,584,187,777,607,560,739,719,147,706,232,018,746,091,
666,401,965,620,415,348,101,854,965,440,294,030,358,616,571,110,338,333,093,
349,709,150,935,750,798,104,661,036,811,726,332,208,155,424,267,648,276,167,
447,162,502,100,812,256,942,552,377,928,985,430,391,684,556,689,283,695,359,
140,661,833,947,348,046,028,293,340,670,719,324,566,763,438,829,529,140,335,
600,809,300,538,644,673,491,757,777,463,409,599,507,274,341,531,275,368,074,
978,457,409,535,248,881,256,982,389,751,232,635,471,868,362,952,848,012,753,
678,570,136,360,959,251,102,801,218,285,996,672,222,705,106,927,672,813,559,
463,658,332,470,407,894,576,566,049,035,772,870,058,604,091,251,275,582,989,
413,537,309,498,206,082,495,618,899,569,700,488,719,162,129,668,687,878,286,
432,123,301,430,066,266,037,396,922,713,932,495,428,564,011,510,117,837,819,
667,082,376,741,967,408,979,978,777,925,122,530,098,136,148,178,963,004,560,
416,025,590,298,817,190,273,046,433,374,688,548,513,736,654,559,460,319,781,
917,390,650,112,349,179,378,860,775,632,616,062,214,963,622,157,566,348,870,
844,068,034,063,974,834,645,989,378,980,964,515,675,932,632,303,038,458,103,
683,603,620,139,682,375,408,111,864,087,590,836,083,259,300,490,337,862,692,
812,122,552,887,314,924,465,318,729,356,070,982,483,199,378,376,761,726,865,
210,929,926,127,450,792,271,568,640,927,573,275,283,211,094,330,651,935,294,
817,570,605,299,926,453,343,349,890,389,807,159,132,771,277,345,013,444,673,
409,619,198,214,749,647,784,188,956,966,022,946,869,262,790,328,882,802,553,
194,109,837,017,411,910,551,219,165,629,374,088,808,282,182,645,341,906,443,
397,181,253,347,162,353,723,984,460,388,146,387,017,982,331,650,655,813,846,
566,915,641,845,796,592,280,904,207,540,654,453,426,049,713,560,636,541,276,
836,008,037,496,802,143,076,512,562,854,250,659,436,612,155,683,315,252,932,
823,367,790,952,762,379,867,006,120,280,159,918,703,295,995,611,219,197,735,
476,653,592,290,979,702,327,619,498,802,765,478,275,866,944,221,477,266,495,
170,620,385,397,651,324,828,996,623,001,499,240,438,575,194,704,103,956,363,
365,569,315,970,390,005,898,540,635,902,072,663,436,539,570,943,092,999,254,
035,683,240,076,797,990,281,822,181,490,123,726,827,983,762,570,869,929,144,
683,290,606,243,626,041,362,427,561,302,789,956,350,408,113,794,354,209,568,
817,357,104,212,626,910,825,128,361,800,623,541,608,416,100,998,207,170,791,
952,785,524,406,525,167,350,318,425,103,285,606,973,413,535,007,426,576,826,
933,779,238,957,152,111,288,450,400,588,577,438,502,921,484,476,980,837,879,
260,116,421,271,711,073,750,918,216,781,516,039,695,704,681,413,520,350,882,
456,779,213,265,266,415,348,378,962,097,078,196,294,356,095,831,950,561,424,
107,207,689,344,802,666,166,414,520,710,593,686,198,377,394,175,193,197,383,
508,633,304,335,394,883,749,544,104,485,301,172,428,195,614,398,053,994,840,
386,058,557,731,950,661,453,957,348,594,786,237,302,793,049,859,845,009,148,
742,971,430,894,804,772,394,562,132,976,101,007,323,792,214,439,909,181,315,
769,352,693,014,526,165,121,317,986,117,696,868,317,640,176,707,641,819,743,
930,025,873,300,855,587,333,988,333,101,937,836,318,946,932,373,087,501,204,
644,724,391,363,050,078,078,118,328,605,365,041,831,062,603,529,174,478,097,
929,349,591,888,748,732,254,179,563,082,997,945,180,005,380,229,850,047,322,
697,938,470,325,935,558,320,119,638,533,462,199,373,345,400,440,645,160,044,
004,041,996,165,126,300,894,134,205,872,677,359,746,206,342,482,546,769,858,
372,900,968,750,853,322,988,354,077,823,752,135,781,659,234,017,102,340,893,
208,117,405,647,817,247,375,210,091,957,260,512,837,009,075,491,808,261,079,
471,227,006,426,918,881,207,583,158,319,997,454,608,401,214,909,079,624,726,
173,472,773,303,779,158,790,342,199,206,668,802,223,953,147,409,878,257,642,
096,419,875,153,883,425,571,098,174,079,611,099,677,575,894,316,512,524,894,
097,537,338,031,930,768,367,542,333,210,871,091,763,606,955,079,437,128,078,
889,278,117,417,906,971,755,870,051,866,996,010,853,518,450,895,962,444,712,
208,390,361,785,453,144,685,931,642,017,298,596,233,126,185,678,779,301,357,
160,169,976,847,963,768,681,604,856,771,713,822,425,558,148,838,182,292,774,
112,748,083,741,825,292,379,672,603,739,631,353,275,657,276,173,129,555,259,
857,682,075,849,801,002,575,068,695,733,452,949,806,468,816,988,563,038,368,
018,739,525,842,007,574,003,563,102,528,587,010,459,141,210,495,553,139,704,
794,210,228,661,234,497,840,596,063,075,550,786,727,393,268,116,542,445,264,
639,594,228,189,880,225,497,612,769,726,318,545,779,177,507,951,346,042,040,
191,975,919,819,723,699,140,506,688,936,064,736,549,296,855,683,088,401,809,
329,238,051,432,042,545,487,321,859,768,302,167,381,060,390,612,375,127,012,
892,774,417,733,049,420,210,393,049,310,769,266,499,418,338,006,429,580,339,
700,655,594,518,437,188,884,729,511,512,953,404,677,326,011,185,355,746,653,
484,658,458,840,607,415,975,428,466,022,770,169,291,480,222,324,150,808,064,
337,716,635,040,277,430,444,932,789,033,779,436,276,232,528,272,001,102,256,
729,708,178,229,340,819,263,697,745,282,311,824,945,001,328,776,914,593,358,
110,176,681,895,918,615,926,989,978,757,807,210,230,589,961,652,115,430,148,
753,234,883,874,145,702,533,443,891,276,552,468,876,148,358,529,698,983,793,
005,743,659,814,379,247,960,078,762,481,476,079,128,892,806,297,261,621,102,
156,555,178,706,209,892,147,163,884,692,304,955,732,321,579,723,765,617,848,
478,238,144,554,336,835,944,960,868,561,278,604,234,436,170,794,313,100,121,
823,461,548,671,513,670,609,893,688,078,405,310,442,323,653,494,847,583,043,
334,130,699,888,166,342,516,264,246,816,789,229,540,066,598,288,138,420,304,
703,476,143,493,876,334,289,828,721,514,571,501,393,687,148,869,024,972,658,
003,845,313,203,895,117,957,676,159,259,774,788,341,460,610,168,317,047,370,
130,589,840,331,506,313,896,308,000,365,116,901,328,574,003,318,853,012,858,
946,901,334,256,465,836,434,162,291,067,698,731,020,001,138,132,676,527,568,
196,552,051,274,456,262,562,863,427,029,563,779,579,915,220,669,637,823,740,
278,917,286,721,943,389,265,052,188,576,517,120,516,125,430,318,845,783,361,
142,752,125,425,204,723,523,634,490,981,216,556,385,766,209,381,338,783,127,
607,922,942,143,396,891,153,062,514,198,982,138,250,307,107,481,639,679,671,
053,728,120,796,321,455,929,531,865,959,013,528,520,021,646,168,134,185,080,
674,305,299,439,761,203,846,277,286,278,118,091,433,652,116,381,895,068,074,
513,768,431,654,354,402,653,056,371,818,561,109,972,503,615,710,383,734,182,
468,772,242,942,034,180,445,096,405,096,427,886,066,955,582,896,606,571,311,
073,193,692,258,563,239,531,470,656,921,484,070,784,580,505,459,013,833,921,
365,488,789,038,373,706,021,380,047,084,749,329,978,192,462,529,042,688,322,
552,029,423,619,279,823,672,064,024,538,561,698,695,239,407,336,878,233,401,
719,973,273,806,936,956,255,900,899,899,663,908,273,049,595,966,532,247,938,
125,224,834,465,972,785,613,790,577,993,344,638,811,839,224,720,939,135,036,
035,575,246,670,531,015,659,364,164,157,848,281,460,139,995,522,788,214,552,
851,691,277,851,853,136,813,821,779,319,364,849,080,316,784,174,764,662,416,
877,279,707,730,542,291,906,504,127,125,642,345,785,213,588,623,264,954,009,
626,957,607,925,526,002,114,308,916,186,936,424,841,057,878,036,805,608,717,
801,241,866,745,223,859,926,749,814,206,900,690,544,658,068,606,305,873,117,
524,317,537,208,167,513,912,976,999,571,312,303,163,008,560,598,211,221,715,
293,875,217,750,370,894,562,491,731,870,623,485,161,789,087,326,311,866,789,
864,361,226,516,526,085,457,579,751,726,498,512,608,442,907,748,845,200,888,
859,358,789,231,700,682,885,204,067,837,714,277,480,544,098,355,128,295,954,
588,452,959,524,501,703,207,780,709,302,497,878,622,978,840,173,023,767,327,
777,004,239,554,952,535,899,275,309,562,774,603,994,269,987,840,121,048,810,
079,396,979,949,764,727,231,697,557,422,627,536,516,644,395,030,035,583,818,
816,917,064,730,154,757,169,582,809,254,808,586,810,822,402,060,979,426,632,
304,258,744,619,188,504,642,749,607,741,303,704,325,971,530,044,494,175,499,
414,945,108,532,623,945,719,141,876,304,781,864,192,116,111,693,080,884,343,
511,237,793,207,631,843,621,226,172,523,864,682,963,747,623,242,461,260,844,
949,719,273,010,008,308,806,176,679,268,884,791,502,636,865,853,826,791,061,
093,174,165,172,727,593,010,713,157,662,635,450,926,704,762,877,555,823,336,
136,481,474,144,370,078,767,726,075,780,371,629,611,373,639,291,322,801,115,
484,026,475,319,134,145,521,886,311,968,343,610,085,388,656,880,576,154,598,
733,083,943,531,619,966,870,106,489,362,739,234,661,726,305,286,080,927,933,
870,739,227,901,406,681,796,189,755,660,188,297,711,357,190,459,306,874,680,
312,596,422,525,416,969,328,473,304,039,825,239,600,152,562,885,559,906,434,
230,719,648,761,463,747,719,023,382,431,311,634,576,370,552,045,456,267,524,
981,059,337,471,804,333,299,312,234,500,305,191,299,423,637,221,048,002,638,
007,790,152,195,834,394,383,449,151,321,896,729,291,107,816,717,212,029,007,
776,179,827,073,792,011,045,054,754,913,567,550,785,395,794,724,477,925,492,
637,312,740,037,474,670,845,305,099,599,943,255,649,733,428,634,934,190,259,
718,587,735,177,944,310,156,924,087,042,712,438,280,717,191,173,190,262,612,
525,422,878,859,675,267,381,816,559,993,945,093,634,109,651,373,839,792,167,
989,807,001,572,829,698,313,531,677,839,481,829,362,173,789,841,552,455,375,
143,037,583,349,509,964,654,511,755,801,136,102,580,811,453,782,145,783,933,
236,354,497,953,917,668,576,101,077,845,545,695,150,556,254,029,525,119,895,
958,619,506,491,729,896,831,088,907,783,057,671,330,797,361,229,425,652,004,
714,623,333,974,288,831,804,697,116,897,983,456,881,492,892,854,217,495,875,
341,233,504,044,836,134,989,039,137,512,308,246,096,254,142,439,161,797,665,
998,514,655,285,500,641,846,223,349,918,249,718,661,077,160,246,752,080,751,
437,474,971,173,159,924,746,192,879,856,403,310,181,872,227,620,248,543,516,
165,641,550,229,458,435,302,094,708,281,535,709,563,750,413,925,963,433,326,
821,303,983,897,170,589,781,406,711,343,773,553,260,390,301,537,463,515,624,
144,642,064,941,513,762,285,951,143,703,898,835,321,738,086,863,457,327,539,
430,916,324,701,111,689,459,390,935,746,774,396,265,074,043,617,556,604,451,
700,611,632,595,546,552,287,502,919,240,778,880,754,488,105,545,095,408,188,
184,535,571,286,852,952,134,709,381,495,408,004,148,273,347,166,233,223,147,
743,562,825,525,593,038,748,900,757,702,338,327,398,892,776,016,427,850,807,
314,141,249,880,714,782,290,982,238,025,234,950,074,754,718,675,624,816,602,
667,348,380,241,041,846,167,800,469,654,440,636,623,900,369,085,433,768,953,
937,781,144,163,826,482,967,897,152,503,418,049,410,655,653,926,679,156,417,
294,901,291,577,823,876,626,284,061,706,969,509,058,180,527,949,312,186,919,
469,637,267,653,870,034,680,827,359,507,240,330,691,551,510,716,566,002,551,
379,060,816,142,279,293,930,200,665,928,229,669,151,302,661,856,901,497,764,
523,590,496,545,938,111,749,931,719,371,014,535,542,119,593,569,409,568,497,
019,331,721,540,805,419,844,168,102,392,018,723,278,458,167,653,270,968,705,
320,209,407,921,334,327,795,234,945,524,992,832,536,510,903,063,495,328,202,
052,243,140,483,420,785,791,502,433,029,029,486,801,160,341,756,844,099,479,
264,385,134,281,373,414,529,827,258,865,695,589,863,612,220,614,809,993,688,
384,228,425,131,124,458,722,700,707,409,619,093,114,963,735,421,448,054,231,
947,998,316,248,615,970,212,062,103,947,689,341,543,895,620,554,219,509,373,
724,599,211,372,161,936,365,782,821,739,799,694,543,143,326,508,290,804,652,
671,139,562,648,797,556,861,140,732,967,635,418,397,137,919,629,671,268,511,
798,021,973,229,486,496,989,787,714,439,029,245,867,647,583,537,579,406,866,
715,226,730,213,105,664,638,691,942,430,275,596,641,944,825,708,769,537,231,
135,154,985,248,132,574,184,479,999,438,797,037,180,754,639,108,053,729,603,
636,648,863,568,554,263,564,971,543,369,073,738,685,770,904,154,902,073,770,
423,454,884,451,831,026,724,401,373,778,084,694,132,190,349,404,290,631,390,
011,792,049,148,008,816,461,929,074,660,950,614,826,884,338,055,520,998,061,
008,418,954,720,588,790,720,578,988,510,665,912,924,865,274,218,540,382,068,
129,273,135,737,000,725,142,843,653,588,835,003,194,458,116,341,095,501,548,
527,332,411,881,780,474,888,643,210,697,602,705,480,675,900,549,850,351,174,
803,853,484,996,102,778,646,363,106,323,345,803,015,111,385,449,882,647,268,
673,466,438,074,763,613,522,965,713,591,659,968,722,918,223,453,617,029,867,
768,805,174,486,216,570,064,340,263,324,712,586,421,542,887,821,566,877,752,
387,047,791,681,011,672,699,960,046,351,967,964,065,868,695,222,548,345,995,
995,940,804,636,398,561,996,752,452,902,619,303,527,587,678,077,002,457,387,
551,558,030,070,410,350,675,334,353,180,514,188,920,516,787,904,273,600,763,
274,707,171,501,227,034,686,487,823,995,732,025,025,774,165,953,270,969,873,
718,370,038,658,708,831,607,358,962,888,757,689,602,119,284,284,024,665,861,
949,033,197,382,117,395,448,527,179,060,584,660,384,169,046,031,237,565,228,
089,627,162,044,918,440,433,147,789,742,583,987,395,840,651,317,034,945,915,
804,961,891,889,353,382,245,649,618,702,122,220,831,339,993,288,010,712,061,
795,201,036,036,927,703,175,012,419,594,006,299,575,927,491,064,564,469,747,
817,516,836,540,196,100,465,472,167,164,173,121,340,598,336,923,892,356,327,
399,616,862,080,201,875,481,176,182,362,501,178,117,151,216,165,437,902,958,
388,036,914,102,541,584,256,613,913,050,735,213,648,321,902,421,189,261,586,
689,976,789,774,882,364,077,237,843,755,508,261,082,583,791,125,071,911,810,
047,790,499,238,453,157,179,538,376,897,009,653,105,483,650,674,671,135,720,
714,901,650,725,589,851,820,721,433,860,491,238,979,841,388,743,380,479,672,
936,959,708,038,106,616,894,953,176,154,022,733,547,559,491,260,307,505,193,
320,908,586,227,099,564,716,013,470,150,860,608,390,830,825,545,951,884,650,
419,357,213,118,729,113,258,148,710,660,543,880,735,648,832,543,728,272,823,
869,396,777,800,775,859,172,639,048,489,323,221,579,559,319,351,210,177,590,
464,340,672,545,314,367,306,168,499,574,136,571,424,281,394,585,167,525,038,
944,019,855,289,300,105,738,695,273,000,366,100,288,354,519,400,930,762,679,
108,349,485,694,362,984,594,213,226,480,126,739,153,205,041,972,283,013,049,
298,446,090,878,920,924,541,593,183,903,943,541,162,853,668,847,469,251,166,
889,171,903,985,165,233,177,447,178,255,145,542,742,534,577,115,813,949,432,
501,619,108,146,522,856,886,532,972,032,274,118,643,495,796,104,349,702,081,
336,878,108,412,879,910,236,122,415,998,635,581,184,507,076,239,496,073,763,
141,541,619,748,768,762,690,809,104,174,711,495,827,479,187,430,236,111,848,
917,043,665,178,166,699,365,549,874,566,685,828,284,865,898,928,694,221,031,
201,133,338,879,277,329,570,966,646,282,569,780,062,813,749,957,660,270,301,
436,772,838,332,160,035,365,464,749,285,454,007,822,689,918,824,972,643,997,
373,073,186,847,303,537,519,586,222,205,465,865,790,833,106,469,107,289,684,
085,149,300,816,106,182,486,697,926,202,462,692,487,791,279,934,965,364,166,
405,561,444,275,999,492,710,674,226,023,653,361,905,446,761,451,410,045,729,
505,722,786,108,127,595,356,436,059,428,252,257,907,686,316,984,129,826,965,
315,785,061,482,549,948,344,981,715,110,418,157,741,335,204,731,527,029,241,
931,061,050,460,622,559,720,959,047,594,001,196,128,783,572,782,207,484,588,
894,286,848,434,518,676,322,800,024,681,971,714,071,958,391,086,593,674,112,
728,777,495,035,568,333,939,369,040,647,207,559,515,744,410,808,158,350,723,
676,604,515,131,395,497,844,893,094,425,319,318,796,442,855,428,143,383,407,
841,310,875,547,147,810,238,557,855,390,458,410,831,414,222,541,766,327,616,
170,929,229,810,352,559,781,769,453,830,845,543,831,833,995,801,160,157,730,
510,453,096,588,594,659,340,182,506,555,160,881,434,026,307,752,898,763,793,
775,114,169,312,488,531,965,188,032,213,923,258,921,914,527,583,905,601,474,
881,701,466,756,503,127,891,597,036,478,113,613,010,693,072,466,872,088,694,
456,146,829,556,523,749,938,975,720,238,335,667,722,511,160,851,995,662,208,
104,138,214,695,071,736,734,689,964,834,262,813,215,979,306,498,366,561,387,
127,975,987,053,382,823,817,518,617,408,847,952,547,138,203,283,426,455,235,
396,329,033,035,893,477,263,627,916,921,353,989,157,484,546,130,219,847,418,
983,918,022,739,757,319,296,345,633,481,579,255,534,881,257,358,264,706,884,
117,180,701,925,426,303,823,581,667,414,579,027,694,167,811,926,132,339,374,
290,558,534,284,493,547,146,222,243,024,333,214,405,945,356,575,803,619,694,
564,535,483,638,344,877,624,229,531,813,567,934,036,589,304,171,405,352,663,
211,830,804,755,034,749,788,569,933,877,953,216,944,119,890,299,500,084,819,
409,531,325,663,558,820,318,666,627,302,797,025,496,611,130,017,629,492,337,
380,826,807,000,175,296,704,509,670,752,888,896,336,333,376,904,917,095,513,
259,249,848,046,702,272,933,146,503,147,364,423,652,426,703,770,430,675,598,
198,631,900,391,172,752,160,326,775,328,838,118,554,514,350,830,393,523,406,
568,596,842,810,607,556,786,305,708,040,119,947,279,831,809,116,417,416,792,
502,944,514,591,384,562,652,364,279,161,097,302,377,705,347,349,482,077,711,
933,999,371,140,759,621,389,938,185,728,407,767,785,947,716,154,370,006,363,
988,540,906,078,691,860,679,342,678,998,451,790,762,108,693,788,398,757,622,
011,736,913,331,695,439,227,486,865,669,439,519,502,743,077,186,756,616,897,
798,739,615,896,442,517,855,691,420,970,032,384,697,487,125,430,302,979,529,
701,652,868,263,463,558,451,308,400,022,982,884,030,925,298,064,465,845,486,
822,836,485,401,358,899,401,049,238,969,267,515,347,287,285,421,473,586,716,
436,177,450,198,117,190,978,480,723,572,272,486,216,036,268,942,744,599,242,
106,561,133,638,064,438,120,579,557,241,487,752,839,834,029,154,402,226,544,
201,436,593,243,054,862,647,614,878,184,744,700,771,890,146,553,316,277,408,
467,051,134,361,161,697,790,453,894,727,212,260,604,028,400,052,916,337,130,
219,954,251,448,332,091,299,308,347,407,346,599,661,938,445,055,506,438,216,
803,513,537,246,029,658,106,541,002,199,621,811,900,783,593,857,540,996,745,
300,476,842,061,365,913,450,511,245,511,972,606,119,775,336,431,106,817,311,
069,944,353,791,760,560,356,618,604,397,474,665,003,575,513,760,291,365,365,
609,507,654,121,573,574,769,925,828,834,291,119,202,293,630,645,019,350,249,
527,017,798,677,909,424,039,943,129,188,980,113,965,370,127,413,430,825,927,
484,175,562,101,320,128,512,402,423,636,402,306,481,273,791,072,486,430,395,
363,182,879,596,712,013,370,164,305,804,463,030,317,616,638,856,553,664,148,
885,724,247,855,153,912,853,608,307,363,459,453,098,774,205,688,604,520,457,
506,263,942,849,577,748,631,045,818,822,473,479,396,777,469,413,459,864,523,
927,812,549,664,882,059,158,923,043,826,424,986,595,083,877,558,943,214,759,
645,682,773,823,945,017,287,605,314,784,498,151,482,680,327,057,991,195,881,
819,974,441,925,711,200,300,673,927,198,499,983,579,136,433,996,115,590,942,
381,488,721,375,644,871,711,585,002,954,922,754,284,546,346,695,929,016,980,
084,002,525,949,577,071,979,578,682,193,742,315,680,978,825,032,996,251,624,
057,362,575,910,648,960,707,398,947,192,661,345,534,671,260,281,146,612,111,
832,101,629,321,654,792,131,134,681,652,565,933,752,210,099,867,120,840,509,
665,431,165,507,636,712,429,223,975,232,851,710,599,057,802,827,719,245,228,
096,143,493,678,451,259,592,411,535,077,831,085,955,343,694,250,024,119,229,
758,973,943,624,388,731,068,480,971,306,284,594,803,752,353,005,302,119,539,
084,705,944,372,458,698,600,845,038,210,881,241,983,769,301,734,831,844,922,
613,275,596,355,880,634,775,955,906,338,967,880,347,164,822,556,395,392,595,
401,722,944,057,129,835,428,470,175,190,345,965,392,860,530,415,553,236,981,
984,925,972,397,380,662,842,908,915,391,648,123,376,498,406,369,359,069,390,
518,832,025,646,117,912,291,625,195,036,177,078,247,921,736,988,407,873,562,
223,396,011,039,518,451,826,268,930,420,317,028,720,876,094,838,102,195,638,
898,346,490,519,818,751,964,155,190,319,689,122,936,709,350,049,487,881,591,
181,563,549,408,158,106,961,628,470,011,352,496,744,248,793,985,661,457,737,
900,012,715,938,718,561,402,313,369,326,944,367,467,410,567,433,830,202,746,
825,056,254,199,717,879,397,565,011,969,053,432,786,158,402,547,875,293,986,
215,479,647,890,934,772,403,827,088,347,476,048,540,566,320,476,541,264,424,
932,422,829,183,537,534,371,083,835,549,253,075,595,714,557,244,096,900,657,
522,467,677,115,725,925,822,359,381,933,505,824,913,195,238,884,792,890,281,
271,403,128,505,556,202,550,816,807,867,324,544,089,853,885,854,808,837,376,
878,313,497,481,775,553,966,550,569,830,906,915,599,710,854,510,592,276,210,
056,004,005,740,030,096,388,332,622,508,188,675,496,532,134,162,887,933,886,
761,966,605,452,669,217,214,527,993,225,921,540,357,916,874,088,919,969,024,
144,986,945,427,233,091,159,668,271,363,716,623,776,836,774,546,578,269,206,
515,411,889,416,003,031,264,830,997,024,534,285,893,715,967,104,563,435,370,
692,059,411,131,355,005,092,287,716,218,548,138,124,186,880,817,897,588,635,
094,128,001,521,632,644,154,943,408,181,586,296,147,464,402,492,102,453,072,
237,092,897,275,366,833,377,220,552,478,397,405,696,630,203,829,424,477,281,
184,214,196,875,627,164,418,999,338,224,557,441,728,267,081,543,459,814,070,
784,541,606,706,751,569,855,351,910,922,879,095,005,309,846,242,927,930,437,
320,754,271,745,753,915,852,595,068,340,556,711,854,907,200,699,217,411,050,
362,111,363,044,007,800,496,802,020,256,689,384,867,742,876,253,876,295,052,
897,425,742,713,021,107,627,220,323,284,751,131,893,412,705,367,073,256,108,
465,200,168,298,760,274,386,384,405,383,936,200,742,452,146,008,694,226,624,
699,911,363,654,920,356,833,101,510,992,561,866,012,912,049,899,965,473,909,
840,895,346,542,606,635,249,059,673,845,050,498,872,728,020,329,086,849,130,
661,793,500,959,519,532,544,266,225,628,278,963,953,198,926,176,226,627,531,
644,033,535,079,878,076,358,552,665,220,774,309,736,184,924,120,815,933,389,
869,903,429,308,288,095,032,964,905,385,566,130,750,956,894,539,176,082,453,
538,795,947,332,800,807,370,164,191,287,840,438,899,630,153,649,662,141,790,
779,729,560,901,828,292,822,750,362,407,993,483,990,335,265,121,038,574,594,
047,286,703,866,726,344,185,763,874,717,517,621,005,910,481,871,915,649,426,
055,223,545,931,297,906,763,933,976,415,108,134,158,559,565,273,885,131,154,
340,505,443,765,277,423,633,388,778,147,506,003,168,104,228,700,761,652,471,
723,992,674,300,858,846,106,898,947,286,980,015,711,818,991,644,952,498,515,
258,326,048,738,267,228,999,778,067,643,693,556,906,739,431,565,366,333,930,
499,245,791,693,548,003,477,907,915,024,718,361,167,212,600,135,435,684,061,
690,316,958,778,676,804,920,383,534,699,711,452,078,258,930,964,640,054,482,
881,525,609,798,974,066,002,974,672,327,679,425,462,344,479,318,535,733,248,
393,691,742,039,419,710,236,591,846,617,063,844,334,544,004,866,700,951,183,
090,860,874,274,465,540,331,553,843,894,635,328,662,015,166,946,033,174,242,
670,058,495,386,040,967,018,500,183,182,545,357,551,801,584,727,971,917,257,
889,485,275,954,619,017,381,814,619,005,772,254,550,780,989,407,591,635,818,
214,557,399,361,784,968,348,594,499,885,499,081,590,380,724,790,640,087,378,
297,238,174,806,941,675,585,059,329,341,581,743,968,743,950,726,744,062,465,
827,230,576,846,155,680,672,031,127,635,198,247,576,155,885,056,086,501,023,
360,222,015,755,836,000,552,786,502,587,918,205,290,300,295,551,167,150,398,
236,972,625,527,688,050,911,561,701,629,408,702,327,129,471,319,501,862,609,
438,878,996,881,014,645,438,173,051,850,881,496,820,199,598,354,648,289,741,
570,274,489,359,306,525,701,840,273,758,109,448,922,084,760,023,751,452,988,
017,268,095,648,330,061,252,960,937,791,214,769,801,270,598,809,200,141,623,
033,359,218,374,321,849,427,457,279,536,875,403,096,357,643,565,675,866,133,
793,393,032,379,238,024,220,221,445,364,357,896,907,882,240,664,404,777,305,
688,253,351,805,854,465,996,891,889,726,299,774,082,552,108,044,406,136,060,
212,038,405,338,708,199,197,191,428,738,552,844,757,522,571,426,050,033,014,
369,332,547,834,828,910,101,408,739,845,316,522,053,029,692,096,608,440,478,
585,965,878,218,211,701,541,382,979,657,294,929,447,774,995,417,787,994,369,
844,917,813,368,227,954,679,733,416,256,449,413,836,754,475,929,404,746,155,
554,215,322,787,757,883,914,806,738,259,940,168,302,622,043,376,168,942,197,
730,485,724,344,528,959,337,878,188,429,800,076,753,575,339,922,110,844,748,
454,655,630,496,738,069,435,055,398,281,799,804,521,775,958,010,906,785,229,
410,541,118,445,669,973,459,069,123,970,870,643,559,297,269,954,501,695,139,
929,244,742,394,246,660,898,435,423,979,490,335,814,777,755,422,841,702,748,
790,979,187,501,372,740,660,923,360,085,966,132,890,958,432,488,936,872,215,
593,784,012,958,954,570,281,591,453,148,013,294,925,967,237,801,694,467,919,
661,047,215,558,027,155,932,129,471,920,341,491,358,400,295,837,431,504,086,
595,249,742,937,044,769,189,908,362,099,182,637,200,449,150,157,040,895,461,
424,333,470,498,832,217,741,792,955,088,564,006,164,063,438,189,754,642,973,
473,729,088,333,082,487,542,336,452,720,494,823,483,875,978,067,731,494,097,
751,440,636,602,620,877,668,346,068,428,950,428,275,829,235,822,975,652,557,
510,031,847,658,359,587,505,352,674,905,534,021,062,869,765,702,698,151,459,
072,622,658,943,914,584,178,305,589,337,087,144,414,285,640,891,057,042,021,
614,170,346,398,734,956,096,095,335,633,092,189,645,872,950,609,709,862,447,
525,584,946,183,805,671,252,875,489,664,289,640,432,303,574,432,820,564,165,
034,121,240,476,166,235,815,430,723,893,109,813,492,359,528,057,033,125,182,
997,927,065,170,659,098,432,267,954,645,172,709,878,887,648,978,156,165,379,
443,965,457,431,867,023,353,842,514,099,410,173,389,232,912,467,670,643,876,
568,577,340,278,504,317,493,853,685,991,397,190,255,750,435,740,478,441,279,
232,627,334,825,799,353,173,843,086,373,295,243,778,695,572,777,021,194,434,
626,440,104,541,300,416,945,947,322,179,151,369,676,734,527,211,911,472,577,
366,904,203,765,760,358,039,500,421,579,304,655,477,700,379,239,359,040,888,
634,049,094,113,902,056,939,697,722,107,644,018,793,540,389,476,525,930,434,
006,228,297,763,694,299,123,093,850,721,298,770,796,038,767,679,247,226,715,
792,539,272,025,321,303,290,520,896,854,903,271,536,929,547,724,235,468,429,
483,115,875,946,706,792,601,069,693,262,385,385,586,539,838,560,957,365,887,
809,302,995,872,690,703,332,155,093,344,387,831,971,886,465,650,461,794,526,
834,897,676,127,429,361,976,651,672,753,436,349,016,756,507,944,837,061,117,
319,501,978,110,342,298,735,709,458,550,425,862,969,533,842,933,884,135,000,
693,481,410,628,179,827,482,187,712,958,198,112,853,503,893,497,987,334,123,
659,905,509,175,570,899,630,984,642,139,186,491,817,047,888,121,279,482,680,
830,246,784,834,737,643,259,736,930,171,176,315,591,128,499,069,476,115,503,
366,216,927,138,847,179,632,028,207,905,007,780,487,788,893,997,478,789,488,
130,839,966,976,976,042,816,535,673,146,972,925,523,341,648,485,321,511,503,
854,094,573,748,374,825,252,595,241,956,018,251,359,911,058,037,422,486,807,
151,751,592,964,734,554,856,926,542,006,362,952,146,974,732,504,275,825,385,
102,226,918,765,579,488,382,497,916,169,713,616,485,842,724,308,014,146,814,
471,561,598,570,503,516,591,145,983,652,981,918,875,186,273,504,736,967,306,
094,340,242,034,355,495,851,584,267,880,869,633,655,291,432,758,786,200,982,
467,460,832,722,246,172,324,766,960,426,326,761,839,587,423,833,842,750,775,
086,631,974,903,409,598,587,456,410,294,667,859,698,469,750,688,935,549,024,
960,536,095,167,324,486,748,418,144,270,344,035,324,659,842,961,514,503,468,
506,714,936,538,838,460,459,628,958,091,708,938,328,345,789,907,640,010,054,
539,976,084,691,335,391,909,952,626,824,421,482,981,137,325,812,263,950,127,
267,212,944,478,501,260,939,763,029,957,254,248,860,826,387,278,946,289,736,
528,871,367,080,590,435,679,892,671,273,448,796,304,138,616,104,553,744,140,
295,945,736,517,097,456,470,661,012,199,256,247,299,059,581,827,956,229,187,
896,186,867,652,076,553,484,823,429,490,920,357,358,820,365,896,531,289,611,
989,159,797,243,368,971,071,455,624,582,868,811,782,124,701,155,687,928,467,
455,346,212,471,732,566,556,545,055,991,312,924,705,333,223,246,822,896,162,
908,713,907,930,402,614,061,824,890,651,137,305,841,609,181,006,913,291,411,
026,402,561,936,965,787,893,514,536,759,748,504,795,038,915,820,781,905,970,
547,142,725,317,427,692,080,224,558,729,233,783,310,322,639,293,355,973,211,
752,947,235,031,211,287,863,527,386,946,427,127,485,273,216,313,715,515,665,
725,393,767,631,516,534,458,965,016,747,860,492,859,760,673,935,519,768,513,
347,207,550,148,961,076,766,976,302,173,029,040,701,578,089,142,824,488,495,
080,929,128,919,490,622,992,179,017,402,540,606,246,757,215,673,263,134,601,
980,752,359,346,126,077,734,020,910,669,679,817,604,612,245,909,512,461,934,
704,623,046,063,879,321,004,653,161,095,966,093,996,284,321,490,602,349,245,
146,030,790,271,409,727,335,908,094,194,842,896,734,018,492,763,509,739,821,
065,100,540,199,133,673,086,476,996,886,311,433,624,240,106,988,446,919,529,
766,546,979,334,342,899,395,554,715,518,939,186,537,437,907,090,197,385,029,
326,307,781,397,937,078,547,421,834,905,027,016,091,755,729,854,277,692,680,
056,428,643,277,360,279,068,666,520,955,257,924,410,569,322,760,438,005,506,
795,273,089,342,544,574,379,477,029,357,245,996,991,049,952,817,271,596,047,
526,958,416,320,370,765,591,083,475,177,348,415,154,134,702,905,114,199,120,
392,137,881,561,239,937,641,860,980,140,529,154,778,249,260,220,251,246,594,
487,825,989,932,332,961,827,102,580,455,703,598,028,977,066,164,975,629,022,
094,978,005,645,389,140,931,932,281,870,169,670,896,409,713,671,625,134,518,
699,967,763,954,369,177,319,406,226,333,182,752,026,833,238,230,365,419,819,
922,600,572,000,915,183,532,475,763,272,382,002,753,500,677,111,777,217,577,
808,908,833,726,504,147,026,267,900,568,747,069,698,391,472,354,656,572,976,
866,851,835,797,137,476,949,978,861,395,901,119,740,412,466,130,024,631,086,
113,176,570,683,581,907,909,412,141,647,654,365,021,139,598,898,978,340,442,
295,364,816,987,095,801,476,644,449,171,306,519,991,348,792,242,545,572,666,
476,973,827,228,385,242,492,020,004,790,487,246,753,239,702,792,346,562,973,
542,475,762,950,469,198,668,449,778,578,582,413,296,101,576,083,039,269,896,
633,147,999,997,906,234,606,615,731,630,538,083,811,656,348,371,846,236,395,
149,098,228,481,748,533,221,552,866,594,914,962,428,420,325,865,723,055,645,
906,104,040,893,631,507,009,158,812,235,340,722,707,199,819,171,723,133,377,
790,977,077,668,592,560,405,414,875,358,327,799,799,465,466,152,821,041,122,
590,619,512,591,072,811,224,436,319,501,240,087,873,640,977,434,299,440,900,
645,435,161,082,904,001,542,560,027,294,208,252,521,935,962,625,184,827,408,
160,150,778,985,700,956,897,789,617,040,930,215,713,532,677,608,164,550,174,
647,046,247,586,536,555,274,934,606,353,105,444,675,887,952,504,790,955,100,
197,617,813,072,744,630,167,168,083,000,861,227,822,356,171,896,022,333,660,
767,031,472,997,165,277,069,841,443,911,884,141,717,557,215,081,449,453,418,
764,004,636,875,251,092,035,706,246,380,783,469,636,653,437,474,757,421,179,
854,261,686,881,607,450,416,209,412,600,097,053,795,794,877,814,179,259,027,
608,812,231,637,376,897,342,271,943,913,547,458,332,576,397,645,529,272,277,
288,147,422,870,554,519,867,099,280,556,089,411,891,945,803,137,159,666,042,
109,746,641,324,228,199,687,311,010,794,909,789,809,741,893,946,718,528,512,
309,604,469,763,265,352,909,995,844,557,679,867,494,392,961,370,866,355,620,
293,566,276,337,463,105,268,768,543,320,263,696,599,218,599,978,273,694,436,
425,201,795,975,142,076,230,281,607,458,571,257,417,923,502,924,112,285,196,
205,972,564,247,549,709,308,879,579,062,198,445,442,821,999,979,680,327,591,
785,879,556,064,105,079,495,674,871,013,968,159,747,821,950,882,682,744,921,
967,919,466,119,305,000,103,018,660,982,140,197,466,501,441,482,466,616,596,
850,063,092,282,181,887,642,166,737,359,797,519,115,026,230,127,416,822,426,
366,286,072,439,483,522,680,617,646,886,199,103,014,696,037,300,100,965,490,
075,929,667,470,646,534,395,278,221,224,386,076,511,260,593,786,521,080,795,
643,037,820,066,634,607,266,913,830,313,429,606,634,194,363,492,905,286,448,
195,878,308,283,264,596,884,388,282,714,760,530,226,135,059,110,756,363,738,
935,404,549,751,665,868,201,765,121,204,669,385,272,321,520,922,723,502,901,
184,249,066,164,498,099,171,159,699,055,624,165,023,438,447,183,501,907,554,
829,319,414,433,370,957,450,053,330,199,438,824,964,060,756,918,217,571,948,
899,903,908,659,280,246,171,533,073,783,007,434,321,678,517,469,530,197,935,
634,528,154,564,128,391,847,113,475,498,866,041,284,972,046,431,175,900,237,
577,140,175,968,986,617,573,580,312,666,091,322,846,198,427,676,257,198,213,
040,074,108,103,678,553,769,724,215,528,475,429,305,522,587,262,638,270,046,
471,394,590,249,548,728,846,092,976,970,934,805,135,471,449,337,954,994,419,
561,358,591,110,100,733,234,029,447,707,553,413,098,692,368,880,575,790,438,
491,412,036,594,772,112,495,015,108,727,535,491,918,589,094,786,482,987,971,
065,507,328,622,179,503,925,284,787,712,614,228,805,878,339,217,340,948,990,
768,068,461,897,729,056,865,928,080,602,617,902,986,956,770,632,070,366,990,
694,448,353,848,875,225,687,591,906,646,036,595,638,746,139,713,132,266,728,
167,313,316,527,655,375,829,539,279,649,813,467,522,847,319,577,207,676,629,
721,091,512,697,380,867,030,051,420,418,437,223,468,229,519,838,445,743,778,
284,063,123,447,898,449,209,967,806,169,549,682,892,733,000,995,738,787,018,
701,167,977,700,607,977,202,076,733,328,534,809,947,589,334,484,116,078,405,
921,085,087,503,423,659,041,982,416,665,942,751,251,466,395,230,140,325,041,
077,624,125,467,233,783,782,753,745,410,462,815,457,486,226,971,383,120,280,
641,503,350,562,796,795,853,748,505,371,680,154,249,361,956,048,024,816,732,
251,742,995,912,145,393,697,428,712,644,911,700,064,007,924,396,172,169,849,
022,746,060,589,877,264,416,627,155,377,938,109,394,502,973,650,055,307,425,
499,819,246,114,704,999,333,728,834,733,087,928,297,545,330,905,318,590,044,
178,284,101,210,058,709,964,338,373,459,555,016,874,232,156,364,634,185,144,
460,446,119,034,503,725,168,155,611,940,902,149,003,890,825,668,985,502,527,
711,195,052,735,873,040,720,053,302,359,284,462,727,397,508,329,295,133,390,
254,465,115,995,059,665,760,118,710,404,444,093,719,426,654,085,210,472,664,
856,345,602,238,802,760,010,846,249,684,421,794,223,020,378,748,401,003,435,
830,229,286,359,381,630,994,628,797,423,769,510,510,585,545,340,842,400,544,
172,131,466,333,239,934,989,691,270,842,981,505,128,743,963,369,179,007,717,
520,005,230,891,332,964,312,490,190,021,473,518,564,872,691,362,786,680,818,
661,926,652,157,686,440,873,643,865,729,278,526,427,427,373,320,825,828,690,
999,337,790,542,632,931,016,706,517,252,714,454,720,706,474,187,283,316,212,
859,598,795,625,019,565,050,735,934,682,929,745,050,003,181,898,526,586,793,
780,578,619,140,551,358,787,965,301,533,739,327,310,594,597,309,574,844,167,
001,619,713,017,144,487,426,640,839,517,634,675,937,267,831,684,186,701,148,
156,087,435,156,866,712,934,746,135,043,610,777,067,561,307,593,696,765,756,
588,457,527,289,147,371,906,473,898,096,746,286,818,072,116,403,045,074,692,
920,735,194,650,998,671,910,553,573,344,608,230,865,256,578,054,364,697,515,
595,123,692,951,697,685,188,545,075,290,175,668,237,967,811,177,014,001,089,
907,175,238,306,169,275,534,281,165,075,586,744,133,194,173,210,537,770,202,
571,107,881,012,021,695,881,667,419,939,870,122,978,055,858,001,950,526,794,
930,188,465,777,999,207,014,097,610,861,871,833,375,702,580,887,489,111,128,
447,780,386,039,258,585,764,689,943,000,010,212,747,933,638,736,950,603,646,
780,785,683,350,947,061,378,716,488,892,794,391,533,080,883,995,168,757,620,
866,789,792,136,563,273,843,693,992,928,699,106,725,369,187,118,560,261,865,
669,696,925,834,589,199,215,864,869,381,108,196,403,986,468,365,725,954,419,
600,626,235,789,013,505,030,608,125,790,029,983,687,043,893,661,229,993,146,
353,606,729,537,723,426,212,847,597,870,829,594,821,872,646,436,667,210,962,
399,224,340,724,696,325,391,908,855,923,367,246,422,574,827,976,881,516,968,
419,636,803,990,106,025,248,257,321,081,367,577,533,981,744,384,591,228,630,
186,964,005,790,679,277,194,924,103,193,336,869,097,506,575,935,714,792,062,
673,861,907,929,387,735,573,130,761,212,773,225,797,873,596,254,476,606,185,
006,678,248,901,068,477,247,257,685,162,891,203,313,710,550,446,681,565,277,
387,298,668,801,277,197,776,790,456,999,476,479,437,368,586,181,437,779,037,
859,619,610,473,436,899,855,883,502,052,494,246,918,937,616,464,338,971,253,
313,638,673,412,317,352,053,482,679,860,204,328,382,237,085,440,815,684,195,
738,137,368,059,322,400,631,243,620,151,721,346,315,691,816,713,291,300,570,
390,437,448,069,611,599,949,573,915,032,964,785,577,736,087,106,958,511,700,
851,975,663,531,755,024,211,684,713,168,917,014,788,915,431,225,736,306,673,
605,995,447,886,168,691,580,939,473,964,158,265,637,939,193,639,470,730,516,
244,804,805,601,392,662,634,991,777,968,092,427,543,281,477,237,601,564,791,
690,468,686,952,337,159,890,108,492,208,790,145,412,676,596,895,410,028,081,
880,777,846,940,594,040,745,898,742,126,727,670,195,239,356,862,052,137,775,
997,078,271,598,240,228,044,951,812,250,590,126,310,329,227,443,767,391,286,
323,295,645,721,078,729,562,504,175,889,245,633,670,645,691,929,839,782,747,
828,965,233,991,198,313,059,284,021,053,706,745,321,933,328,009,975,544,215,
239,292,223,727,853,635,211,940,979,434,587,807,502,758,920,516,095,315,125,
552,048,217,736,791,394,553,776,715,581,640,852,481,688,712,384,735,490,321,
748,277,602,302,507,982,396,868,907,467,186,235,461,291,066,072,363,582,173,
140,573,769,385,163,726,007,111,957,090,898,675,886,538,892,269,192,895,607,
579,058,393,811,433,119,169,931,486,996,701,616,727,134,085,770,472,914,794,
744,637,659,123,016,246,757,804,516,343,046,128,317,821,259,380,192,565,579,
984,032,196,933,879,226,692,765,599,569,415,423,251,828,669,950,661,176,041,
460,577,250,287,285,704,178,699,067,508,209,088,155,366,883,690,948,605,158,
085,059,854,685,299,019,332,580,548,088,803,190,234,174,997,589,711,135,878,
797,775,415,336,125,940,361,861,946,591,919,015,973,667,086,933,781,104,257,
994,507,764,550,335,775,363,208,037,851,417,121,717,922,474,735,929,778,061,
883,411,737,784,647,674,312,483,042,558,081,994,666,078,365,091,597,239,616,
604,709,088,994,193,727,213,686,287,405,900,504,355,111,587,023,277,523,539,
598,630,624,657,804,226,382,578,941,324,084,405,418,824,626,637,931,226,307,
013,193,982,781,790,974,428,600,413,705,314,089,307,326,531,358,737,028,020,
989,672,739,659,324,527,731,684,639,056,385,690,695,361,260,580,712,195,021,
724,396,135,704,699,143,314,911,746,892,935,943,968,326,013,921,238,037,037,
506,560,597,838,221,985,665,482,566,194,948,055,974,117,920,908,127,205,516,
342,034,915,440,483,575,377,245,935,847,408,739,531,300,746,981,649,323,776,
610,557,794,125,924,577,587,188,224,870,343,248,937,986,313,859,801,675,303,
532,540,058,538,805,162,899,202,759,982,179,531,153,337,252,909,661,181,336,
431,088,339,875,495,455,583,763,238,304,078,869,694,619,535,213,275,153,723,
085,967,872,475,175,488,994,478,899,556,917,764,184,884,783,669,354,463,091,
686,207,882,043,227,446,241,146,021,229,737,633,275,797,860,902,709,269,713,
370,899,057,613,784,589,801,860,318,219,301,400,382,382,741,982,020,362,489,
216,686,520,283,696,017,409,176,528,316,290,654,071,336,947,788,492,023,836,
722,946,115,998,129,826,957,472,040,236,692,051,883,794,100,652,292,452,871,
691,958,499,472,497,765,628,294,338,119,185,747,391,514,729,116,976,686,660,
878,417,213,690,879,779,756,260,878,540,001,677,968,194,548,449,595,427,452,
354,157,478,775,254,932,051,909,781,570,256,586,895,794,374,189,103,497,700,
610,255,337,730,638,801,017,897,851,901,589,354,534,628,483,228,236,231,352,
109,463,786,202,840,698,613,724,692,655,169,434,154,519,545,422,681,747,823,
582,432,036,392,433,999,594,295,137,663,767,272,789,978,839,986,304,230,319,
751,135,342,374,038,343,707,741,664,136,091,422,533,861,569,800,786,447,566,
499,741,855,357,654,311,379,544,895,056,572,807,644,141,038,438,567,816,274,
068,832,043,316,685,209,129,177,686,552,605,206,304,765,764,376,897,683,707,
579,657,224,240,119,906,052,523,595,647,259,129,035,033,455,452,981,972,355,
634,686,616,281,132,781,364,880,290,598,886,114,806,966,876,120,803,389,831,
767,942,229,835,919,750,082,858,199,451,940,479,448,748,122,220,469,785,289,
283,935,264,815,247,138,340,375,261,365,901,637,602,528,729,240,386,494,744,
911,984,748,203,956,273,019,282,146,464,675,576,219,685,698,535,406,285,191,
660,530,335,490,409,237,095,570,366,558,214,458,101,096,617,225,909,073,105,
589,316,181,387,808,496,005,553,091,175,704,485,859,313,423,658,715,109,019,
391,857,215,151,717,949,466,131,193,791,170,807,650,825,562,970,527,377,973,
875,682,126,467,937,668,252,418,961,206,601,332,772,945,282,119,399,335,063,
162,007,436,073,838,108,768,864,023,828,025,800,712,738,654,204,540,218,921,
149,735,261,991,064,056,452,481,298,001,791,483,773,109,087,257,832,874,624,
311,575,904,964,189,580,780,686,869,839,357,578,038,536,689,109,203,544,523,
749,714,554,970,443,812,933,018,436,057,727,593,025,694,355,580,457,742,341,
516,005,343,059,299,174,557,313,604,833,920,314,435,134,277,379,622,272,882,
734,715,898,715,378,671,433,906,218,325,457,788,748,068,230,407,138,366,620,
233,662,539,097,617,338,490,749,755,273,781,357,191,696,905,344,029,173,966,
672,427,150,683,733,944,138,008,480,364,697,388,295,761,012,309,128,248,600,
656,788,942,021,224,855,923,028,887,188,732,960,174,045,542,703,327,425,101,
751,428,854,467,176,880,087,869,067,062,186,566,024,614,415,965,153,497,397,
655,283,475,193,680,773,915,418,442,362,693,165,330,021,717,508,263,491,880,
003,067,540,389,739,249,252,675,168,638,795,228,271,824,272,167,178,087,066,
189,559,877,706,192,844,204,559,645,346,623,734,830,973,595,670,233,270,780,
464,529,031,784,675,830,900,103,778,086,008,015,948,283,206,082,204,609,851,
793,450,708,878,536,406,827,180,519,522,350,384,696,513,469,621,994,414,405,
064,214,808,509,459,655,914,175,976,335,305,185,528,347,246,960,373,848,357,
652,075,857,592,101,762,320,413,030,221,129,398,725,987,398,250,802,489,410,
493,768,260,969,066,338,225,501,637,458,489,429,881,219,067,809,663,177,435,
290,840,059,395,240,322,364,698,868,841,042,103,238,969,247,508,266,514,503,
040,030,486,252,145,935,605,556,920,766,522,440,262,133,038,623,494,937,503,
840,208,297,741,733,565,618,863,943,588,973,620,696,647,842,671,089,143,079,
009,954,794,777,276,138,862,650,828,435,192,509,587,757,460,246,154,967,809,
525,399,350,935,412,056,321,881,269,825,846,316,661,011,647,385,397,407,312,
910,145,689,804,409,725,526,662,045,565,713,354,209,853,249,950,321,912,778,
652,836,244,998,377,352,579,209,798,907,068,918,433,146,374,042,846,437,451,
543,945,069,615,905,286,926,259,309,446,124,908,896,500,914,170,542,710,474,
671,183,663,056,466,462,594,784,840,992,720,559,792,565,388,991,331,548,667,
137,644,103,056,948,327,234,814,153,472,608,245,063,069,098,711,076,983,218,
714,278,837,133,231,900,561,373,597,472,012,426,800,163,703,384,126,422,376,
687,212,908,811,878,342,104,174,330,570,284,469,362,355,507,110,915,625,962,
823,929,351,326,929,545,040,744,017,252,292,810,729,268,783,012,196,460,501,
921,508,230,929,567,241,940,291,368,876,140,323,948,879,543,696,026,258,993,
660,811,682,854,750,779,087,007,134,850,789,270,328,028,572,371,433,201,846,
613,318,320,515,079,578,182,668,716,437,615,327,958,042,925,773,991,434,912,
225,380,527,144,673,020,174,670,180,308,248,274,109,329,082,863,333,103,335,
299,189,185,005,991,716,211,951,379,684,842,778,939,506,928,808,222,672,706,
241,542,368,336,897,640,636,242,852,520,879,820,781,812,537,036,799,062,744,
157,013,872,624,124,096,942,449,027,037,130,224,558,496,533,778,129,665,361,
065,439,474,753,729,996,021,039,185,707,134,378,730,856,117,591,564,637,117,
109,395,588,272,446,159,575,030,574,943,430,892,416,051,699,863,662,831,702,
555,626,689,867,680,039,747,714,881,087,019,701,543,923,624,455,380,638,539,
652,125,459,694,876,485,486,696,301,815,608,587,321,764,359,079,275,823,875,
835,435,725,628,532,123,415,067,947,869,896,669,385,220,762,477,334,716,727,
080,811,045,993,240,622,088,296,562,925,542,480,415,014,160,351,423,171,445,
355,657,304,629,723,062,957,945,831,559,385,836,008,661,883,651,421,396,490,
831,855,380,951,137,042,629,858,764,487,775,921,321,940,019,068,304,822,342,
938,973,795,069,996,771,413,185,542,813,715,618,122,220,448,977,342,256,991,
390,873,349,540,521,082,454,212,006,622,035,800,278,631,468,432,857,462,445,
960,307,248,245,882,568,880,948,028,817,253,924,364,770,475,755,800,475,483,
745,229,457,864,484,011,595,807,798,568,662,624,300,835,926,004,462,324,208,
394,794,449,636,243,574,783,171,062,934,392,590,015,577,337,132,687,634,512,
133,058,470,535,203,866,393,574,511,060,025,356,885,743,379,412,595,796,627,
244,993,526,207,102,648,105,970,589,174,708,727,992,808,924,497,897,889,693,
034,144,354,735,897,328,395,135,335,973,737,612,167,953,660,070,816,325,141,
306,534,985,573,793,544,974,952,274,968,742,960,362,432,140,105,289,109,093,
249,182,492,160,078,799,546,309,687,657,310,368,884,162,148,966,948,499,040,
998,400,820,237,745,940,255,276,119,132,329,008,014,907,523,225,464,641,405,
799,839,638,086,550,101,476,961,566,416,173,942,650,640,486,448,230,456,118,
051,803,490,242,653,880,241,880,189,084,514,198,297,243,215,658,894,881,483,
525,203,097,954,703,153,821,679,783,127,333,151,465,849,421,213,382,050,301,
134,270,557,858,619,434,718,626,798,198,667,396,715,070,384,096,876,419,282,
959,153,460,137,456,481,197,002,062,196,864,567,667,452,266,979,619,135,253,
625,083,081,448,318,356,184,867,357,065,289,642,599,059,256,690,047,434,189,
529,924,044,204,719,400,618,720,199,757,558,660,626,210,812,672,190,230,251,
734,389,271,230,163,935,654,318,647,013,195,171,931,542,139,417,227,302,010,
373,428,721,235,971,977,925,724,456,411,278,123,219,403,634,049,825,644,430,
813,892,563,454,096,701,759,012,340,986,718,099,021,392,601,043,426,420,267,
001,564,608,144,112,194,745,898,874,357,316,796,127,156,070,118,530,529,390,
945,941,684,318,367,551,279,695,075,699,014,704,276,683,892,868,192,462,938,
308,375,157,834,711,682,222,554,889,326,142,844,675,213,824,152,872,500,867,
617,158,073,682,186,207,186,395,812,275,544,648,789,866,727,306,296,417,969,
823,714,887,652,450,937,790,692,037,887,311,601,224,953,411,297,359,663,381,
185,311,428,439,896,193,795,255,806,634,756,561,851,598,637,753,668,366,091,
058,181,421,168,107,513,430,739,986,028,748,750,108,741,885,199,028,660,499,
619,450,259,987,438,507,222,180,131,557,059,575,528,506,601,432,422,112,397,
376,363,991,344,411,124,895,748,586,926,211,126,896,684,730,326,756,693,782,
229,994,703,575,155,533,470,682,224,695,956,336,197,968,077,414,973,387,881,
350,536,912,890,472,984,715,000,595,929,674,232,957,246,221,816,113,884,882,
142,685,675,104,246,508,555,051,876,282,356,102,358,781,714,725,194,466,018,
230,551,258,312,170,709,443,054,653,380,517,453,027,515,307,284,481,161,210,
695,861,698,674,907,072,840,430,935,583,549,752,775,195,790,057,602,218,807,
709,091,216,921,464,695,051,162,577,845,959,835,134,292,614,208,044,265,927,
161,301,173,911,617,376,012,102,183,257,218,962,403,063,464,641,182,062,640,
086,168,539,963,135,545,975,595,181,584,697,382,846,518,707,094,768,684,842,
540,845,645,402,008,114,555,761,108,744,005,391,729,922,857,928,948,229,762,
790,091,385,858,973,899,180,295,041,267,514,015,443,095,334,737,489,380,885,
547,979,226,522,068,759,201,697,534,076,956,736,815,466,007,971,033,846,351,
429,611,629,775,012,023,905,152,491,473,371,909,240,471,163,925,428,323,773,
726,381,385,190,920,223,313,089,165,518,447,513,692,543,312,384,759,972,604,
777,668,559,049,325,069,800,713,665,772,814,592,342,983,291,418,557,474,155,
251,241,570,662,529,708,577,025,886,419,479,231,015,560,272,200,466,858,511,
101,153,338,949,594,655,100,120,897,385,224,968,545,827,647,080,239,260,101,
905,096,572,809,558,526,593,401,934,803,051,882,406,834,604,780,794,319,407,
919,127,707,154,654,637,228,580,284,231,187,318,225,802,105,286,447,403,459,
553,766,620,504,350,965,140,361,356,428,676,394,047,748,195,573,444,571,514,
974,929,140,656,198,943,491,008,161,783,828,543,892,848,520,155,667,080,667,
181,811,241,752,045,528,474,866,197,459,985,477,309,163,588,587,497,148,506,
927,050,033,664,208,256,738,876,955,860,964,712,075,336,567,969,892,752,641,
103,699,977,235,005,984,124,499,442,475,339,086,552,026,420,589,433,715,324,
557,505,486,429,414,369,407,636,655,468,172,632,917,328,451,256,366,543,740,
042,036,852,556,078,423,903,505,579,694,043,243,258,386,981,265,668,639,716,
526,992,056,584,378,028,741,862,754,153,653,540,118,439,698,411,835,521,337,
185,582,802,189,096,591,751,911,910,841,824,601,571,308,584,869,445,804,203,
889,118,444,613,298,811,159,605,927,085,629,989,252,589,282,464,365,783,472,
348,484,178,095,396,056,265,738,959,661,448,623,139,753,951,889,127,587,223,
812,037,063,813,473,694,540,756,888,677,095,102,074,919,757,608,440,934,717,
997,151,320,169,831,519,366,027,331,836,728,781,082,041,276,349,789,680,327,
726,584,707,453,248,829,794,835,636,891,518,908,075,613,675,458,450,129,473,
544,217,664,818,151,057,355,845,825,112,809,495,794,874,890,657,546,431,480,
658,558,207,481,911,206,705,366,269,836,623,404,404,005,384,210,088,191,145,
418,959,251,589,385,475,210,145,377,978,109,428,766,078,015,176,745,825,770,
883,098,720,390,905,365,172,654,061,596,446,344,978,258,752,366,131,975,800,
647,006,442,327,304,900,842,898,535,210,385,981,888,010,450,375,330,033,193,
159,524,574,508,458,111,861,669,189,851,594,646,804,826,802,254,299,447,516,
454,813,567,242,984,729,673,854,996,029,474,232,957,616,666,902,648,418,684,
926,040,083,844,542,482,895,063,275,283,130,169,913,285,116,830,077,000,830,
865,483,102,263,858,686,554,091,280,044,196,654,308,278,250,601,655,303,395,
978,860,076,038,862,905,101,220,762,312,330,598,139,120,502,625,010,843,785,
137,057,146,546,832,800,653,172,399,682,786,242,249,717,475,394,941,556,127,
438,090,392,861,719,608,699,738,088,514,791,680,782,997,393,880,075,576,064,
443,703,471,230,665,556,832,431,940,436,351,363,190,698,281,888,045,514,376,
747,155,683,770,641,641,074,126,259,183,832,334,180,287,632,120,485,396,693,
900,157,580,837,209,105,637,867,660,145,153,215,555,761,281,503,732,022,105,
482,568,000,656,682,402,280,560,391,179,520,298,311,538,839,712,436,152,739,
006,411,679,923,278,788,947,053,480,290,995,535,380,102,008,544,916,596,857,
613,811,711,424,360,876,222,769,159,338,768,421,572,550,052,569,591,629,607,
546,842,820,856,981,121,563,512,365,284,988,439,093,018,917,958,825,591,784,
216,686,838,144,858,400,746,144,877,505,353,873,065,339,226,263,849,697,222,
440,862,879,483,785,169,055,895,936,197,718,090,711,217,660,438,132,153,233,
173,204,700,241,713,854,227,818,937,938,872,953,325,616,444,646,822,604,531,
711,911,643,213,909,852,153,586,854,986,584,156,533,831,741,155,506,273,366,
735,423,288,088,311,192,376,016,079,510,012,272,469,468,660,754,194,501,100,
979,456,129,561,725,961,613,660,162,056,654,820,741,870,009,585,311,779,140,
723,743,703,356,673,771,785,032,457,778,814,808,295,045,079,090,030,944,675,
601,861,220,672,665,881,814,476,419,256,184,680,817,976,506,690,959,710,457,
758,194,472,322,165,307,488,825,068,796,213,075,413,918,745,474,560,023,154,
872,363,119,585,317,229,319,449,352,682,018,429,227,882,380,832,159,633,382,
998,421,419,805,565,527,337,444,203,505,525,924,086,492,835,548,131,887,712,
357,302,567,365,650,358,167,938,304,491,025,397,068,348,949,658,070,289,717,
178,664,873,721,166,977,536,463,100,403,940,668,489,299,753,311,909,566,970,
091,975,410,924,789,647,212,580,893,315,348,333,358,757,340,651,867,353,805,
089,531,656,267,433,192,057,312,206,066,525,985,344,608,199,967,629,761,569,
441,935,365,279,334,006,984,138,958,209,344,492,449,575,973,196,354,771,901,
355,207,500,531,691,006,787,547,807,107,826,259,082,643,823,823,713,906,862,
606,316,346,116,920,490,486,069,959,145,587,174,287,507,170,529,921,964,018,
758,234,219,855,172,731,679,514,394,034,310,605,136,161,549,233,568,774,670,
041,992,256,484,563,104,399,991,928,095,278,562,700,475,730,933,877,256,769,
972,999,690,604,053,139,200,179,586,344,257,144,515,323,301,157,053,437,091,
779,315,047,674,449,295,457,102,261,365,673,481,036,393,714,101,694,552,297,
455,481,479,216,810,757,610,565,678,075,583,551,900,488,163,639,297,637,001,
447,638,307,155,965,296,093,654,126,420,282,516,571,752,374,075,774,028,655,
684,207,977,210,807,522,645,000,506,935,944,951,683,022,896,196,900,383,531,
268,702,637,629,582,214,947,699,659,251,890,415,332,027,327,594,636,253,017,
235,147,411,101,103,551,257,091,250,826,699,779,200,483,172,779,295,809,732,
459,702,986,685,850,199,424,757,032,018,701,759,359,830,667,711,572,296,178,
329,335,435,451,052,400,945,788,623,270,115,822,668,638,415,021,024,194,748,
146,437,469,951,857,001,791,569,556,663,567,283,214,219,244,918,251,688,136,
580,121,036,782,827,745,187,846,062,918,931,219,435,962,034,072,425,297,243,
441,362,752,590,891,635,163,702,122,065,084,263,095,264,764,446,576,400,092,
620,555,527,250,876,815,153,343,218,824,610,224,228,342,570,075,243,205,450,
301,794,336,457,935,174,250,272,372,751,699,823,600,794,643,574,260,519,263,
736,961,751,023,576,850,018,700,029,174,292,955,650,381,869,336,247,231,857,
303,749,487,748,124,069,265,491,612,550,844,016,493,466,904,067,252,939,100,
088,324,763,731,860,950,685,253,501,004,607,835,325,603,705,774,931,360,207,
918,935,514,095,034,671,434,541,034,757,717,275,735,441,973,267,413,410,959,
812,510,809,733,036,846,373,017,395,504,765,928,577,207,049,687,853,040,405,
644,888,026,692,345,845,133,155,160,830,157,042,403,470,773,213,978,992,596,
251,912,564,684,609,519,832,257,297,428,188,832,220,131,483,871,320,588,745,
988,764,661,571,084,106,919,496,321,327,349,142,657,068,638,332,573,318,219,
908,254,564,152,450,431,042,494,265,430,616,510,092,709,238,118,484,045,181,
116,724,393,189,129,162,942,908,757,128,829,802,138,278,346,572,331,588,726,
388,825,066,813,673,519,899,011,272,147,770,644,910,263,950,926,252,651,877,
942,763,212,399,587,958,760,454,042,325,234,760,804,730,887,231,574,848,939,
424,861,705,058,034,827,314,733,369,905,113,495,772,294,502,662,382,759,348,
032,433,660,284,686,254,090,445,502,670,469,622,820,571,537,408,707,100,463,
876,494,587,536,674,999,610,246,197,881,516,487,455,431,563,931,166,805,611,
255,025,979,055,808,724,128,573,441,944,786,556,838,909,371,351,079,417,563,
573,662,929,695,831,761,798,961,954,130,910,565,480,542,969,643,209,166,078,
011,897,332,263,744,198,331,544,265,364,399,751,020,416,676,866,675,888,142,
572,512,634,307,196,825,945,323,098,201,240,797,972,867,819,119,717,308,804,
033,377,572,218,299,564,539,392,881,640,267,098,293,259,551,486,351,065,572,
523,271,321,598,775,259,560,864,897,705,769,316,783,243,461,635,100,886,905,
584,716,080,593,763,243,555,399,706,900,470,146,932,481,498,105,059,961,688,
121,347,389,279,200,563,972,249,244,415,656,961,234,351,378,992,935,835,506,
215,124,063,597,567,706,760,029,056,669,126,670,099,445,733,987,100,786,307,
492,068,329,143,474,271,217,630,275,652,122,872,214,527,361,358,281,971,297,
543,813,128,711,868,175,351,667,560,845,036,530,049,180,252,878,354,245,891,
879,189,133,775,989,446,265,351,997,038,924,287,073,449,288,913,440,742,430,
795,334,284,420,045,286,204,719,242,999,219,496,665,027,009,435,256,491,586,
895,346,343,217,586,806,145,144,228,054,083,933,146,035,717,886,944,972,742,
904,754,120,921,415,603,721,992,806,646,589,439,984,784,528,780,555,198,858,
579,506,703,718,801,564,109,294,126,354,141,487,261,310,409,898,393,102,426,
044,948,609,560,079,430,978,978,589,162,432,088,771,246,592,294,337,037,843,
852,522,304,243,525,003,466,741,775,084,285,253,572,564,650,065,188,661,926,
263,092,380,895,977,274,853,715,139,509,120,891,785,959,912,621,391,686,233,
846,344,831,128,798,890,993,816,877,459,115,747,974,885,265,510,004,220,753,
147,879,836,170,166,700,244,253,264,065,406,775,731,252,947,916,507,415,268,
011,343,106,814,870,566,154,294,982,111,849,901,160,343,987,508,282,164,332,
204,352,981,329,500,580,166,023,433,020,497,989,380,072,296,311,627,797,180,
652,045,342,230,424,292,021,289,159,620,384,218,594,562,953,234,317,615,222,
274,141,967,571,535,842,538,525,470,633,370,981,526,352,282,957,438,928,170,
772,893,862,013,391,884,896,910,444,988,554,123,304,339,108,027,194,170,542,
198,699,689,584,545,534,233,040,560,965,841,375,365,402,329,588,349,848,296,
860,691,660,800,335,874,715,999,545,845,798,344,970,958,108,943,398,358,528,
145,288,970,027,707,353,831,768,551,122,593,842,322,081,084,043,271,097,071,
129,361,959,859,980,253,356,151,865,050,148,433,943,685,262,102,917,741,119,
676,163,039,385,940,958,440,034,130,774,991,676,923,837,083,222,515,473,925,
010,093,938,398,201,336,514,819,414,384,554,023,100,871,211,756,700,797,583,
287,637,286,761,987,737,743,687,222,268,537,867,259,971,207,555,141,329,115,
751,109,479,945,661,037,833,104,931,232,895,655,961,826,765,468,038,548,828,
191,743,252,961,937,167,425,797,432,859,955,250,820,360,907,102,834,273,886,
689,256,529,131,109,580,573,110,362,049,924,451,058,065,066,885,667,074,329,
657,974,535,095,038,413,246,425,410,046,178,587,605,492,925,810,580,926,337,
892,958,174,561,303,894,497,194,143,265,223,917,970,759,542,677,669,211,312,
305,513,880,719,386,955,453,435,254,610,541,759,031,974,081,570,234,843,534,
740,722,179,161,043,140,564,441,112,549,208,329,650,692,263,521,298,962,867,
404,779,058,666,879,060,123,001,299,610,755,746,363,613,825,808,127,898,537,
622,375,726,968,642,183,581,719,317,833,669,445,510,639,352,721,834,280,523,
433,687,876,403,477,678,154,297,796,411,557,141,564,635,622,863,883,635,499,
113,586,266,916,628,884,878,366,500,739,765,268,400,684,725,124,442,759,228,
044,546,714,768,847,778,171,688,631,754,041,595,168,477,872,548,185,512,423,
575,001,432,856,312,829,351,303,096,646,550,944,734,105,785,420,240,859,528,
752,964,502,699,851,578,766,582,152,432,160,852,392,562,176,239,336,591,287,
458,508,365,611,059,903,750,888,041,967,117,254,348,532,684,942,768,602,451,
991,645,009,531,483,761,883,409,975,765,669,575,295,664,514,757,044,579,839,
135,527,927,710,637,642,055,479,384,745,908,720,394,948,122,165,685,167,117,
971,157,300,629,527,728,833,879,674,627,451,799,275,608,215,023,853,985,288,
652,810,600,593,360,360,154,711,115,711,826,642,689,128,400,636,251,714,093,
381,476,881,510,407,751,228,029,171,918,651,535,123,821,161,373,037,252,903,
278,135,344,268,174,027,261,670,693,386,268,470,966,769,176,218,306,248,633,
186,073,387,931,170,782,631,508,355,763,396,042,802,975,336,584,746,320,446,
516,393,095,767,758,836,636,669,455,038,324,576,133,405,461,865,793,760,881,
160,311,877,824,581,436,210,286,977,616,000,508,864,009,390,036,743,272,885,
356,938,530,060,241,632,337,787,892,743,404,161,694,783,029,544,718,221,595,
057,473,186,126,487,011,434,477,488,977,968,702,877,154,819,471,993,793,109,
355,995,527,530,589,755,083,317,149,256,794,409,989,849,679,928,898,492,999,
882,018,777,831,839,637,896,021,737,259,250,515,400,935,971,628,846,765,140,
992,750,300,624,702,132,260,786,703,603,217,303,728,949,205,898,733,744,829,
201,697,455,400,648,235,115,069,428,456,737,814,900,639,670,697,487,748,085,
695,439,923,075,285,705,932,273,874,946,952,683,832,274,400,515,126,968,019,
267,999,222,245,748,760,664,175,606,663,104,911,735,986,487,637,700,273,836,
508,860,004,508,978,381,318,610,443,420,731,836,357,175,987,131,808,266,794,
717,077,391,292,681,921,340,475,478,195,440,682,456,120,929,659,314,817,064,
586,832,060,119,791,189,674,632,049,524,505,390,422,627,005,703,895,039,238,
052,985,292,072,073,987,818,400,422,021,725,169,954,419,351,277,130,957,409,
078,552,880,045,888,505,055,294,788,546,995,977,478,815,155,811,799,905,222,
321,093,195,508,653,499,048,352,523,120,242,038,213,982,047,446,713,623,124,
882,292,881,532,957,034,728,816,944,891,781,438,038,212,730,692,884,338,795,
553,447,985,532,976,221,710,754,728,864,469,388,702,362,346,154,546,771,261,
029,703,532,752,875,769,197,944,568,776,540,961,775,216,368,310,009,049,338,
484,008,563,122,624,619,362,881,802,021,514,833,187,461,931,832,621,468,517,
759,144,620,100,242,527,657,508,005,238,772,781,646,660,268,564,084,763,587,
498,509,902,926,449,976,534,854,208,038,269,013,198,034,246,012,358,944,650,
966,290,842,915,583,088,078,848,194,229,842,218,448,772,668,576,370,427,519,
045,885,760,407,474,035,026,356,806,989,899,969,679,056,024,748,546,657,848,
225,999,283,685,185,288,237,467,816,096,307,896,566,523,990,630,844,800,370,
134,274,257,837,572,317,307,080,288,539,176,802,116,669,851,591,102,710,524,
235,892,464,642,100,722,369,932,071,399,968,592,111,562,876,777,339,170,127,
797,661,959,021,127,549,041,181,150,716,044,425,384,503,519,654,931,506,735,
820,238,693,240,320,104,807,356,635,985,347,530,971,609,115,256,898,578,853,
229,576,640,893,975,203,242,272,817,749,008,103,932,565,594,797,709,303,490,
284,606,145,650,409,073,652,177,499,320,130,238,045,544,314,487,293,642,488,
095,132,669,182,504,592,004,854,576,966,990,296,284,130,748,629,882,400,681,
371,768,226,815,264,227,162,225,360,995,583,502,050,524,202,164,266,605,581,
718,072,900,376,983,575,735,990,681,253,571,922,847,101,929,239,728,242,210,
085,561,090,388,642,139,590,884,749,523,832,980,124,888,166,787,480,921,241,
206,903,509,040,843,295,192,120,298,856,005,048,491,471,885,353,098,871,524,
102,525,455,458,351,843,413,046,616,807,297,952,883,976,333,659,232,457,592,
592,156,320,960,075,034,657,430,713,711,399,233,129,369,271,761,150,375,292,
400,276,842,155,753,546,527,415,486,419,774,663,420,310,521,885,671,177,347,
022,682,387,482,552,796,914,803,068,352,606,663,876,059,398,489,519,809,176,
966,803,227,552,160,628,549,956,438,288,643,049,960,815,168,040,531,664,175,
676,696,758,095,368,107,115,431,546,484,132,348,686,072,731,471,144,279,724,
579,033,834,675,046,972,325,960,356,980,181,513,575,244,991,951,376,419,180,
108,929,235,043,974,920,607,286,295,241,037,937,580,024,551,186,615,680,561,
680,400,372,668,109,634,117,377,622,271,014,970,305,894,225,913,662,405,304,
185,576,086,252,329,992,701,993,292,797,995,041,591,855,284,041,988,832,684,
031,670,220,088,724,064,536,932,101,198,179,414,751,389,115,399,488,948,962,
120,968,006,385,019,132,949,742,758,374,792,600,302,647,373,956,425,388,839,
141,133,803,429,468,865,038,272,179,379,151,091,386,392,511,042,342,769,613,
574,479,455,220,044,986,693,825,901,398,795,181,804,146,093,750,884,078,058,
183,385,938,241,268,655,342,690,164,382,493,623,912,561,741,546,138,321,639,
456,338,182,035,048,587,235,521,413,432,579,849,449,073,608,162,022,569,317,
460,354,202,484,075,527,382,340,706,949,982,068,497,835,915,512,257,276,759,
636,882,832,731,590,783,121,833,129,730,363,685,232,727,650,523,257,549,178,
433,523,325,176,955,561,853,975,997,067,257,391,327,475,549,091,501,825,791,
455,354,983,744,991,639,423,543,509,742,271,790,535,385,494,980,289,510,426,
916,553,707,952,482,702,997,846,600,779,256,874,645,738,323,138,156,462,620,
036,047,045,930,244,467,334,301,566,680,010,414,977,055,332,730,582,737,672,
927,887,546,531,701,855,324,636,063,069,268,477,789,681,202,841,596,963,664,
372,871,180,597,474,192,132,907,833,838,495,341,935,527,463,417,229,904,229,
530,984,569,870,857,454,932,256,323,038,206,060,759,692,435,111,839,677,231,
827,859,771,403,226,360,233,126,880,984,128,166,651,806,743,766,286,064,241,
198,241,061,899,760,708,733,159,575,179,404,682,069,003,434,414,581,802,680,
897,621,428,871,572,727,928,503,958,826,561,817,320,466,948,335,470,654,541,
993,523,177,004,847,840,425,086,394,796,199,820,599,885,844,128,032,366,992,
827,123,694,812,789,205,023,968,613,155,268,627,344,501,156,771,813,519,109,
180,748,537,128,520,289,775,992,405,150,939,767,682,069,951,076,868,477,712,
620,119,758,428,612,450,342,978,104,446,275,113,955,253,488,557,838,679,382,
782,245,910,103,943,102,054,743,678,908,985,740,608,908,761,430,311,919,052,
276,723,371,517,157,476,013,526,878,842,157,525,163,034,544,166,669,591,089,
216,426,354,944,683,148,437,709,576,732,334,409,609,983,024,379,637,978,895,
911,500,820,378,710,745,702,062,454,567,045,433,273,586,420,596,570,368,520,
393,840,582,635,162,934,582,280,946,691,264,853,989,196,815,746,557,269,634,
152,125,900,334,526,537,120,536,901,667,679,228,245,525,500,012,741,321,175,
057,875,695,675,065,636,907,809,452,241,992,779,917,692,742,349,089,758,502,
481,550,003,960,691,241,292,242,142,974,394,160,726,295,631,570,391,904,956,
014,353,465,062,026,003,688,804,517,850,236,973,661,467,833,800,992,397,909,
984,484,070,426,500,318,976,029,650,519,518,958,355,898,286,804,416,288,929,
046,609,723,221,910,265,868,173,288,862,075,562,548,162,725,275,640,528,102,
053,226,432,372,405,703,392,855,683,392,843,130,153,896,677,464,205,968,477,
071,055,913,136,660,946,181,493,160,211,102,496,101,126,583,509,188,273,459,
238,316,546,237,633,270,509,930,358,016,724,504,496,515,542,441,463,955,669,
304,029,728,803,772,167,829,772,168,222,244,661,537,313,494,329,733,865,410,
615,926,197,260,152,535,464,391,954,268,522,628,506,556,727,013,735,116,108,
825,383,841,312,528,242,399,384,771,699,441,403,085,927,927,561,664,944,940,
331,545,990,806,322,799,502,518,806,445,849,998,829,099,932,342,693,138,594,
422,441,720,439,300,181,953,686,532,571,563,174,922,046,377,483,784,280,365,
321,000,106,105,379,939,119,449,260,888,975,221,502,053,764,537,644,705,457,
800,119,548,140,319,138,088,820,469,874,773,090,457,667,546,364,833,048,975,
730,309,981,398,861,677,019,267,554,947,547,970,024,809,973,817,387,387,972,
497,231,235,223,606,761,444,997,229,248,210,386,734,886,431,064,689,667,190,
787,916,944,186,382,958,396,888,160,662,776,392,311,517,255,068,959,067,713,
200,753,803,407,766,673,077,510,427,240,146,675,160,861,822,701,404,137,126,
699,901,437,850,221,297,306,166,390,170,304,955,541,106,476,094,674,867,209,
934,511,682,630,337,721,611,416,372,462,404,126,368,208,072,358,774,921,978,
383,803,521,978,599,116,181,349,637,946,481,937,004,397,466,479,465,714,705,
958,358,378,934,698,833,398,671,034,677,683,992,684,229,587,816,752,899,285,
118,271,885,734,685,389,016,409,806,853,239,873,440,879,418,623,803,543,857,
343,799,746,545,745,399,330,118,570,917,439,141,816,720,824,612,952,955,375,
947,712,454,013,861,993,121,492,139,941,762,086,240,451,818,104,788,687,246,
405,464,310,591,906,788,888,462,197,665,499,202,071,155,961,532,477,421,345,
409,925,341,093,605,690,069,437,597,126,118,674,280,372,112,299,528,489,302,
786,078,168,729,182,171,696,505,386,680,018,497,574,430,387,153,565,733,012,
630,326,545,740,608,083,775,743,408,164,050,436,988,208,251,011,812,701,745,
294,024,583,304,400,073,488,664,986,809,972,612,621,224,682,207,009,066,788,
549,281,086,439,829,125,083,754,102,660,338,165,481,230,405,943,451,558,239,
059,280,907,811,744,053,995,396,696,536,007,271,614,037,063,884,834,034,029,
244,067,960,143,788,255,661,571,341,718,508,509,365,817,203,461,844,063,750,
131,610,700,311,789,897,762,634,820,354,964,976,668,529,327,235,027,808,059,
520,838,080,432,012,009,396,329,915,581,942,788,382,163,543,827,841,638,236,
403,279,700,499,626,735,517,709,736,797,626,660,162,807,896,696,362,120,572,
314,886,741,399,174,601,788,934,409,374,562,958,703,653,123,108,395,741,416,
549,037,688,477,879,808,272,125,041,157,799,411,141,593,069,926,888,135,337,
525,414,233,450,124,836,849,422,730,417,545,394,630,423,882,447,585,162,196,
396,736,433,908,167,713,970,471,836,914,282,985,403,795,765,463,427,159,357,
209,294,095,564,108,996,329,712,850,885,274,960,740,401,557,687,860,811,274,
449,536,864,635,959,119,715,587,435,880,525,984,064,312,006,440,631,040,996,
123,599,872,995,125,466,810,196,412,515,265,689,045,851,649,764,017,152,215,
583,121,804,008,354,502,002,030,071,882,753,449,536,750,841,841,903,596,842,
392,828,157,185,005,319,398,382,270,880,164,142,992,689,358,006,739,210,438,
327,241,296,797,388,415,119,839,860,059,041,291,337,272,373,390,215,637,753,
495,762,563,167,024,933,563,147,647,946,528,094,555,321,153,308,413,961,729,
248,380,521,556,639,948,350,909,300,515,757,268,367,879,173,238,331,123,310,
745,246,665,785,021,887,553,042,223,173,845,751,269,997,554,526,684,365,155,
073,254,115,015,370,023,038,097,446,472,318,126,642,056,931,254,144,913,243,
192,991,696,452,519,007,439,459,204,710,046,538,441,778,546,275,468,393,566,
910,015,184,557,396,247,666,037,706,914,201,177,907,717,645,436,321,043,530,
667,938,744,940,637,068,042,938,795,809,745,813,527,266,784,291,814,070,690,
142,252,486,729,078,185,892,781,963,419,459,618,283,230,910,206,047,332,322,
102,660,326,534,225,751,059,311,951,379,510,909,654,419,074,006,490,252,151,
543,343,612,931,043,738,700,942,582,733,505,857,092,039,753,869,466,479,857,
116,056,771,058,196,265,427,316,642,579,702,474,128,240,924,820,993,140,762,
864,647,540,607,389,711,284,927,166,757,259,888,117,849,874,829,961,098,205,
695,319,721,235,947,556,330,129,556,783,581,680,879,906,253,183,490,569,970,
913,911,610,433,492,377,169,982,329,032,405,210,124,601,065,461,923,392,598,
974,122,766,755,657,426,007,450,593,928,123,126,130,104,835,012,299,580,759,
769,025,239,168,707,551,945,897,518,656,834,987,292,617,323,953,154,773,986,
152,504,884,491,000,050,578,179,215,552,297,578,478,853,052,884,474,184,472,
847,936,205,124,562,859,008,561,475,460,446,003,998,442,111,883,617,338,008,
498,063,805,245,387,471,395,215,276,079,574,127,386,918,948,428,078,509,486,
541,774,915,305,398,861,231,154,156,584,765,270,050,174,790,973,714,449,210,
966,815,395,419,137,290,129,819,550,859,908,924,155,625,931,949,400,949,720,
252,478,929,336,619,983,891,996,217,918,236,763,837,042,672,456,290,033,313,
890,103,818,420,495,956,483,757,785,213,978,022,490,375,682,762,918,622,070,
430,497,036,871,081,134,379,176,884,379,638,049,802,619,957,558,937,494,124,
831,621,871,992,551,246,238,992,027,054,974,928,139,638,160,408,782,463,752,
360,980,064,676,532,577,138,044,470,142,312,186,715,094,273,957,968,890,982,
696,995,462,638,812,606,158,763,832,835,639,417,049,878,326,227,188,749,986,
141,067,901,601,594,821,077,477,079,918,511,465,466,798,401,379,004,509,915,
785,788,799,664,705,738,026,838,310,955,750,659,313,335,657,264,911,478,049,
851,783,723,575,098,164,522,779,836,595,820,040,632,310,743,934,461,680,534,
027,408,443,434,607,179,417,841,499,492,190,072,332,178,064,220,610,032,153,
861,180,772,007,659,061,186,223,986,276,524,171,143,084,009,785,025,900,219,
802,242,913,715,434,074,714,732,503,307,144,728,962,100,713,708,492,531,881,
296,821,935,946,550,896,314,387,316,178,895,966,797,561,553,319,802,097,727,
395,104,924,621,060,170,828,661,551,309,364,172,223,600,672,742,274,447,631,
818,401,965,412,034,494,623,422,949,566,008,412,700,554,560,787,785,316,132,
137,899,639,975,934,845,629,344,716,879,419,997,282,168,199,353,003,332,093,
301,177,641,710,145,871,358,044,047,943,749,222,398,756,750,784,557,342,930,
250,186,483,145,197,682,222,953,172,106,937,530,784,944,646,119,204,972,617,
136,534,808,629,757,540,565,533,912,939,383,991,414,345,940,128,254,742,771,
108,034,843,981,364,232,442,457,402,277,852,170,611,442,835,766,559,580,950,
770,511,054,900,129,200,245,733,922,804,056,675,164,320,785,117,118,343,753,
717,280,270,045,289,592,075,042,395,386,707,777,247,278,435,904,335,499,112,
202,684,791,063,988,660,751,099,186,502,706,547,718,441,895,971,648,857,791,
481,492,202,375,893,270,743,232,094,469,807,068,085,554,047,450,764,970,100,
158,964,776,198,586,974,491,718,649,655,112,136,901,616,803,018,711,129,154,
023,712,158,797,710,746,211,517,278,895,381,741,339,772,139,607,335,939,291,
480,220,309,087,142,039,042,930,416,798,410,903,956,442,618,840,139,397,952,
756,214,718,361,526,804,400,527,934,185,871,858,885,025,752,242,186,827,141,
243,303,216,315,745,835,249,390,128,138,279,947,895,243,016,676,548,674,101,
887,595,762,225,076,616,650,521,630,591,188,203,941,006,170,859,578,290,557,
427,869,832,595,867,063,936,232,367,723,700,931,832,572,829,284,881,660,350,
337,150,746,314,207,110,530,933,373,066,517,910,862,526,478,439,126,966,697,
559,612,365,230,635,861,686,069,217,378,867,912,753,492,976,665,857,606,707,
654,124,269,552,869,572,741,219,407,957,633,948,722,184,012,370,298,033,862,
425,410,308,008,380,197,497,203,862,120,794,547,187,931,645,360,850,546,636,
845,465,853,906,754,079,457,444,968,637,339,500,284,853,830,724,366,049,455,
921,281,817,763,804,643,174,392,561,256,879,042,461,064,711,020,998,960,110,
261,204,396,098,833,911,278,619,938,355,663,070,729,544,182,119,966,848,845,
749,184,610,678,669,377,116,720,825,718,380,930,313,027,757,727,932,162,468,
936,645,867,977,190,845,106,543,241,079,377,072,079,834,287,801,550,212,101,
070,055,189,780,896,421,550,271,747,416,771,321,133,329,386,812,670,664,017,
562,943,179,182,666,236,599,099,628,717,013,355,593,339,105,825,791,442,616,
489,560,271,654,954,806,529,391,636,618,367,761,823,309,899,844,857,833,413,
789,817,074,219,425,466,908,220,154,967,257,828,316,967,103,075,318,915,835,
951,734,326,430,660,421,207,488,268,199,811,999,963,866,436,876,578,684,039,
528,014,263,545,071,668,925,677,306,628,841,244,037,367,386,215,929,582,811,
381,198,083,220,690,732,304,359,334,374,675,723,434,297,985,789,762,092,665,
543,798,542,524,542,683,589,332,651,501,722,939,851,327,800,546,219,645,025,
088,837,363,364,576,377,553,383,053,463,869,314,579,136,840,985,917,773,770,
125,111,029,217,648,482,305,917,469,694,903,040,252,322,983,583,399,352,792,
518,902,773,043,757,352,159,439,320,444,181,935,586,223,519,907,297,369,742,
953,236,810,229,927,853,988,125,009,466,903,098,504,047,678,173,851,104,111,
408,961,253,016,690,163,866,711,920,539,547,432,104,915,842,974,628,263,405,
248,549,777,017,910,783,069,284,879,444,924,472,081,254,874,165,612,774,609,
344,538,232,416,089,334,090,878,863,485,780,683,784,373,685,088,321,688,556,
654,481,848,864,798,714,810,002,614,145,287,367,192,004,534,027,959,707,454,
101,129,826,747,157,671,278,587,727,575,910,621,393,268,029,483,076,807,170,
569,909,295,003,215,722,036,996,784,760,029,519,423,606,577,873,476,146,952,
018,425,397,261,777,173,170,374,800,850,727,279,511,208,878,615,857,509,364,
222,240,801,232,869,872,475,101,749,458,176,517,780,783,365,188,770,526,242,
494,593,111,762,701,194,503,285,603,462,285,616,517,111,844,360,633,514,192,
041,949,717,529,166,197,872,152,493,274,637,438,105,918,502,451,243,887,407,
196,941,947,366,169,454,284,477,571,628,254,532,773,234,257,983,468,929,858,
235,301,734,425,513,912,936,375,036,948,051,444,733,981,262,741,117,906,956,
217,669,233,476,804,553,121,077,714,644,070,337,178,799,899,888,729,461,235,
913,295,583,949,348,368,193,748,460,805,641,460,622,783,515,186,001,798,709,
648,706,609,142,558,414,868,246,431,733,390,242,740,927,800,984,569,482,176,
893,031,663,152,954,900,380,876,846,375,623,556,304,120,732,317,988,383,564,
244,550,177,724,894,382,652,116,358,668,637,849,134,739,339,190,659,826,168,
295,723,256,010,558,809,298,473,707,371,767,489,622,277,684,850,214,014,556,
697,121,554,986,957,780,072,788,578,512,023,737,400,299,334,666,712,720,682,
084,237,274,136,915,873,138,407,839,418,527,515,911,118,932,565,847,741,412,
414,618,323,262,544,681,319,459,849,727,520,787,039,349,009,624,166,629,091,
512,461,194,024,938,393,353,026,696,411,710,115,927,062,873,934,797,608,754,
258,479,450,622,893,665,369,685,159,593,912,368,184,440,178,812,614,996,613,
661,671,170,912,351,504,080,307,431,592,177,047,812,275,475,360,421,470,468,
916,548,719,626,432,080,725,862,903,850,197,994,868,900,086,109,798,921,544,
890,149,828,831,199,928,785,724,926,023,415,493,761,955,134,434,695,999,479,
131,062,383,534,870,829,278,414,621,083,684,141,978,784,106,757,072,384,032,
436,991,059,178,802,237,893,725,972,755,859,282,766,328,925,127,920,931,644,
683,621,344,390,554,436,658,030,196,656,700,191,072,668,215,640,652,636,450,
688,624,395,454,686,273,649,806,197,667,854,431,477,982,345,113,609,408,674,
402,922,007,203,877,716,557,073,645,996,358,993,718,640,341,957,731,652,700,
164,904,809,120,824,979,993,197,652,880,742,227,052,720,843,700,206,302,360,
228,549,955,147,640,378,783,643,290,302,020,317,959,113,787,846,373,172,941,
188,578,515,445,558,976,240,958,575,144,947,209,739,188,500,332,872,665,490,
620,787,401,116,697,802,180,314,689,484,174,497,557,416,931,815,148,074,022,
118,426,499,284,102,000,263,202,513,492,884,016,183,656,250,666,797,205,309,
672,757,804,810,773,160,790,336,972,247,841,228,740,487,711,304,346,486,754,
610,410,262,192,690,331,547,303,505,156,367,958,950,452,614,849,908,457,858,
718,969,642,401,975,391,352,743,824,058,090,352,588,487,369,962,745,126,636,
787,908,037,079,085,611,586,357,677,344,132,966,860,883,230,118,517,454,220,
388,733,506,557,782,248,766,011,561,473,679,173,464,397,303,891,852,295,524,
743,087,511,285,458,338,017,160,728,103,181,303,787,939,141,092,652,464,920,
984,188,426,904,448,002,820,768,661,097,396,331,899,584,086,576,443,089,609,
853,534,752,851,091,674,797,104,903,876,477,267,868,252,441,504,326,347,514,
648,030,041,492,093,685,119,851,219,722,944,279,278,115,806,859,925,124,215,
440,689,590,357,498,396,137,545,608,658,055,144,404,768,960,650,603,937,572,
545,642,963,217,384,308,719,033,292,890,304,845,403,248,125,512,647,060,529,
534,977,675,772,191,118,299,076,531,714,239,892,129,492,457,773,929,949,089,
171,640,813,547,014,402,108,740,817,429,068,083,998,817,496,993,214,370,933,
612,611,296,249,885,523,667,919,005,556,538,282,071,013,292,807,233,909,769,
796,795,998,379,840,453,852,737,487,943,885,578,754,682,114,942,578,037,491,
366,006,997,286,849,840,454,237,635,647,592,140,866,029,852,025,341,949,708,
816,025,178,376,514,512,056,622,099,872,299,853,451,692,194,671,292,895,294,
432,572,986,469,737,051,118,988,762,582,636,042,093,518,843,373,780,547,626,
542,498,512,845,329,748,077,478,468,299,422,562,801,990,183,814,642,848,635,
815,502,823,603,428,370,044,003,203,391,171,407,212,729,823,927,559,958,522,
062,172,629,407,838,912,303,542,105,702,116,971,472,372,973,957,317,324,866,
807,650,797,333,071,408,748,062,881,388,385,953,727,253,989,510,236,653,810,
525,125,393,530,961,476,559,709,003,948,034,058,178,946,923,982,764,725,531,
827,971,409,117,354,382,184,279,994,851,682,759,249,702,216,245,773,997,782,
604,974,389,751,250,578,902,258,999,701,507,014,690,804,820,168,004,762,035,
782,829,474,494,219,572,105,961,869,543,914,272,511,425,512,274,599,258,140,
658,970,244,520,647,841,814,240,885,306,243,246,995,272,235,965,043,583,259,
288,405,816,651,655,567,484,516,161,424,646,578,789,028,865,918,350,137,027,
001,668,140,812,547,230,439,095,510,243,015,772,648,720,818,009,645,638,179,
972,199,025,958,548,425,919,136,803,298,765,220,139,083,802,266,153,830,494,
078,910,881,673,260,849,260,113,545,608,688,611,848,133,907,521,606,423,633,
981,899,531,380,912,354,760,051,855,460,033,077,796,299,055,170,306,438,946,
252,018,508,855,977,929,547,735,629,353,428,421,736,443,086,565,267,501,920,
910,611,228,607,957,162,245,773,837,182,587,537,964,698,940,493,180,596,092,
315,867,334,367,908,348,762,826,002,252,346,787,442,429,854,596,936,634,246,
007,924,305,275,840,833,611,833,559,235,797,010,497,278,636,539,082,284,192,
356,843,979,761,244,617,081,119,734,350,119,142,823,896,695,043,656,761,174,
308,600,692,318,483,559,661,476,697,182,267,929,640,044,184,572,723,029,409,
688,600,725,463,263,056,711,541,292,023,428,904,565,356,759,276,680,937,373,
276,464,009,880,789,462,399,085,909,942,554,926,303,152,599,729,266,834,409,
755,213,357,745,212,583,829,492,502,708,516,226,221,663,813,243,339,584,703,
564,268,756,418,860,788,144,469,457,830,852,332,306,084,821,356,639,540,448,
933,976,990,658,496,210,380,869,045,386,955,834,705,387,424,901,849,493,690,
724,093,361,685,053,855,161,441,877,244,426,837,265,928,539,877,317,732,441,
622,825,145,481,545,885,691,442,103,876,496,876,355,018,344,247,812,967,834,
481,136,192,041,075,643,371,212,302,460,400,953,844,035,450,705,378,433,175,
729,302,860,026,215,161,412,677,984,155,831,789,494,997,868,934,172,086,604,
441,590,941,753,558,354,662,544,598,923,004,406,419,284,389,119,886,859,039,
460,078,932,705,894,805,207,287,739,793,051,049,241,005,319,111,942,475,125,
722,689,408,611,111,916,855,454,157,978,988,753,360,874,081,407,331,953,651,
174,953,327,169,382,346,107,923,926,719,661,236,683,285,204,661,860,192,545,
635,963,561,242,209,572,436,816,521,091,079,589,929,534,725,577,503,079,653,
337,507,310,331,909,515,451,235,238,847,472,413,651,497,968,499,794,477,581,
860,995,776,841,415,805,198,223,307,616,044,613,231,464,344,494,805,017,404,
400,029,112,332,503,671,651,974,683,357,197,607,840,519,871,142,389,988,029,
964,018,929,796,147,415,580,743,234,236,690,088,482,007,727,696,512,528,651,
215,289,560,223,101,452,649,020,695,860,378,551,043,122,343,388,793,687,354,
333,071,554,115,700,802,322,824,680,905,569,307,848,164,868,940,045,076,787,
590,633,492,353,828,302,520,855,181,650,343,911,468,686,371,503,794,495,572,
265,033,674,873,211,440,397,244,062,009,430,288,316,089,639,330,314,981,114,
067,060,006,439,272,759,362,067,948,931,347,536,475,507,999,533,423,826,521,
202,395,583,073,023,348,638,315,720,370,154,389,056,133,907,570,665,891,424,
944,428,761,098,806,752,182,483,977,262,376,601,563,986,149,922,967,704,427,
606,439,426,823,116,996,523,377,069,661,508,173,426,762,130,792,081,788,736,
335,059,737,058,973,375,920,063,461,293,886,525,351,909,494,275,324,457,441,
480,043,221,741,850,966,109,692,161,468,704,654,469,429,943,979,902,710,016,
959,028,145,522,762,436,532,151,219,895,939,033,025,891,558,717,507,895,875,
080,543,230,136,159,254,939,323,322,628,798,513,618,107,109,623,181,013,931,
541,793,128,628,326,134,698,048,239,933,595,796,976,384,339,015,037,389,121,
110,496,993,305,641,606,932,493,602,887,025,241,639,561,254,355,691,985,111,
374,288,101,535,053,672,006,050,786,595,608,797,516,118,935,353,339,034,873,
002,449,992,947,021,703,595,479,969,896,439,878,081,440,710,345,943,535,477,
838,828,595,082,499,854,993,611,816,864,197,028,210,049,883,948,710,946,309,
783,562,387,335,976,402,472,360,449,092,197,993,726,296,001,129,596,267,648,
824,758,816,118,610,475,241,384,131,036,015,609,874,702,673,908,716,684,105,
677,992,875,344,435,618,908,750,955,662,577,125,597,895,094,702,370,789,036,
011,137,224,087,631,344,739,838,721,830,551,949,494,194,864,963,641,187,495,
773,031,739,119,030,371,529,746,630,258,839,830,459,916,862,652,665,795,019,
000,304,486,558,745,143,265,202,167,825,916,495,812,407,411,708,633,944,092,
220,132,338,953,941,565,776,344,055,815,291,777,403,009,697,737,696,793,625,
999,876,023,319,337,103,442,546,693,255,303,889,451,821,140,876,088,388,875,
315,880,716,543,672,463,770,813,258,727,069,926,174,904,749,799,022,835,819,
336,264,124,047,985,069,595,560,307,975,822,193,032,338,795,691,653,074,641,
418,253,398,588,774,847,182,290,235,853,734,230,017,716,049,428,289,508,633,
202,335,648,758,360,593,640,523,591,116,418,817,693,702,251,038,137,358,860,
875,475,751,606,085,845,216,461,895,809,273,119,489,590,131,864,988,090,020,
705,518,655,072,601,460,854,922,221,234,964,554,703,931,445,456,917,040,200,
787,704,787,110,305,654,926,557,314,579,240,371,617,964,164,215,791,359,782,
968,908,015,783,630,751,931,336,891,019,715,868,609,436,662,027,609,639,746,
249,485,957,067,302,164,582,008,882,429,504,819,069,548,551,019,274,120,688,
770,308,544,082,458,268,206,212,544,741,232,490,706,343,054,767,791,890,877,
651,175,068,608,226,438,196,938,167,890,595,397,758,781,698,715,256,373,332,
147,814,338,821,624,685,137,487,074,656,186,894,099,322,317,319,660,657,332,
663,012,515,226,061,661,282,837,946,912,264,805,544,398,899,597,883,896,507,
576,127,320,172,949,410,630,891,785,140,616,303,634,297,439,589,030,938,942,
648,159,665,422,075,406,179,833,032,901,751,765,037,349,010,993,279,658,786,
486,766,652,632,488,402,556,845,594,690,879,887,414,342,036,865,998,719,175,
054,623,945,723,943,655,124,241,946,877,598,037,962,355,385,928,517,747,836,
401,685,839,044,451,709,295,858,930,105,803,434,923,662,710,984,673,363,551,
761,604,648,440,881,873,661,736,216,874,213,714,375,140,141,553,590,073,858,
068,059,334,732,428,795,807,031,098,538,632,771,081,515,564,707,992,639,088,
586,905,492,545,814,904,737,367,853,265,392,930,693,519,461,741,518,491,459,
536,784,586,243,387,220,770,891,338,667,708,130,692,911,960,601,886,283,617,
987,963,630,340,192,067,703,497,295,326,009,487,283,799,354,405,130,724,341,
043,263,727,074,983,388,653,016,126,905,119,248,646,516,931,028,546,258,803,
711,775,891,475,401,376,003,751,506,115,730,628,398,484,936,054,227,013,712,
464,144,455,663,619,982,156,729,353,379,348,047,415,578,802,851,679,426,236,
820,973,052,406,152,883,145,941,088,113,940,583,229,981,095,569,453,632,597,
371,193,542,706,118,120,585,949,082,263,014,303,418,979,982,307,123,216,214,
653,389,239,048,377,558,669,521,663,554,882,117,111,289,176,418,357,503,451,
827,199,945,214,476,967,836,859,641,798,660,158,378,118,101,137,457,703,206,
374,406,674,846,681,242,920,200,777,656,233,082,061,911,392,111,790,111,145,
882,797,591,297,305,793,547,943,892,552,218,924,256,909,200,528,086,624,702,
395,960,105,149,135,214,806,662,932,183,788,372,894,388,873,584,054,095,674,
556,065,313,479,264,045,184,581,287,329,894,399,209,634,391,465,124,870,633,
196,520,136,280,318,469,363,389,137,960,610,619,192,226,554,338,421,769,174,
835,909,842,921,132,061,817,384,919,729,672,338,444,563,589,745,262,736,520,
086,558,446,740,331,916,781,687,848,433,908,142,032,428,544,630,691,340,959,
705,125,721,828,228,982,957,070,866,782,089,095,634,218,931,474,664,937,013,
818,030,117,886,129,100,624,067,617,812,495,706,053,140,183,602,926,511,524,
887,482,500,090,281,234,025,124,598,637,933,508,360,712,435,759,985,831,976,
458,689,041,683,169,419,051,535,506,500,018,251,835,129,465,909,102,334,224,
822,625,528,521,431,981,458,716,143,589,985,176,256,562,899,281,593,260,106,
056,292,114,599,184,275,621,213,784,324,244,067,606,118,808,895,477,328,332,
681,236,236,613,719,703,807,920,152,781,718,113,274,359,442,243,368,770,737,
226,824,202,571,902,390,244,200,815,311,194,693,066,538,835,534,955,968,889,
176,765,599,454,871,129,991,254,628,807,462,294,372,604,323,929,123,694,324,
088,096,256,026,872,059,716,071,925,915,610,248,775,838,368,133,738,346,732,
546,017,186,154,837,921,187,795,396,242,836,521,917,091,681,913,907,892,398,
871,604,059,986,127,344,204,131,811,763,865,922,963,225,558,331,172,514,481,
353,538,420,390,743,767,710,039,700,379,883,914,167,635,998,114,386,021,350,
745,344,252,102,619,563,438,877,579,257,507,993,043,148,292,271,906,288,141,
756,961,232,810,281,523,213,203,658,339,139,336,974,345,144,222,507,584,532,
386,421,444,837,256,984,864,934,062,531,033,788,610,248,953,479,226,805,738,
869,658,841,285,007,060,723,692,998,763,116,206,749,918,903,910,034,889,118,
211,533,981,651,907,548,521,122,184,734,190,671,025,799,387,545,784,486,844,
540,284,980,856,403,039,656,374,223,211,899,869,184,415,144,190,811,891,021,
992,866,814,713,355,253,311,400,388,140,699,099,735,363,332,728,586,197,078,
582,925,810,508,126,825,453,586,314,638,577,646,505,785,048,281,818,666,699,
139,092,145,952,755,857,236,093,222,817,399,417,862,593,185,224,573,607,998,
950,455,660,281,425,382,207,607,038,924,639,675,137,283,681,236,522,857,629,
892,804,533,936,246,748,222,708,220,948,740,060,941,587,786,919,259,263,183,
147,158,971,130,469,049,088,144,803,463,030,771,000,562,579,584,299,314,856,
642,884,714,186,462,700,312,023,834,609,108,632,602,159,443,715,143,261,109,
918,283,478,593,517,349,805,964,297,069,481,931,802,543,592,485,764,062,800,
456,232,834,050,007,696,732,253,596,051,322,993,990,669,527,033,959,172,001,
102,777,385,136,672,127,199,131,587,407,422,931,269,335,300,000,123,807,319,
996,814,386,927,004,460,810,878,201,347,371,810,772,997,551,561,578,165,364,
448,543,520,376,428,318,880,480,897,303,888,690,907,873,934,952,052,519,946,
605,056,326,876,263,734,847,976,941,320,541,295,156,586,778,601,343,221,217,
061,838,226,267,670,325,755,862,410,278,351,733,225,559,432,914,875,712,554,
197,398,885,272,759,327,823,996,804,447,867,070,746,506,179,024,984,808,533,
079,749,797,875,221,159,915,769,807,449,062,921,781,557,516,455,331,701,741,
242,368,515,588,750,995,097,126,127,714,803,533,950,265,378,624,057,759,731,
152,961,850,356,069,839,739,375,756,538,960,283,301,454,696,396,110,698,408,
302,351,034,969,975,845,080,878,486,850,945,119,522,200,753,824,106,246,525,
614,867,503,190,278,876,485,155,584,723,784,762,273,118,723,447,571,905,754,
038,991,125,231,324,698,657,738,508,503,166,920,486,730,670,107,528,330,263,
967,678,620,033,036,959,436,800,971,990,512,906,976,337,210,178,663,972,563,
625,024,585,648,680,002,784,681,897,064,924,814,763,244,275,793,102,385,856,
416,204,245,137,280,858,849,972,540,746,007,393,298,663,201,471,341,081,001,
763,852,199,828,601,789,552,411,933,090,551,284,658,639,555,258,558,298,408,
457,400,737,026,702,885,791,248,884,756,795,712,062,529,395,345,663,718,017,
634,838,389,979,506,169,847,914,808,027,763,592,661,279,611,479,535,960,662,
354,747,279,669,548,411,798,746,680,280,066,976,336,979,865,245,205,097,786,
663,147,372,714,383,857,510,379,684,114,201,797,187,742,482,168,351,221,703,
465,453,882,965,507,316,732,037,615,967,694,087,401,194,364,173,249,092,580,
626,050,248,122,616,138,445,835,730,987,038,623,440,279,304,032,968,662,944,
978,275,050,790,519,997,032,384,839,187,797,416,367,841,226,700,933,530,564,
870,684,847,896,434,642,909,784,503,007,658,140,241,603,841,645,052,563,577,
966,702,760,591,901,172,428,286,506,037,478,114,743,338,380,655,173,345,905,
570,297,451,843,618,534,360,239,982,307,753,535,731,758,010,924,262,912,505,
698,269,478,123,133,814,465,898,840,015,563,998,387,278,191,731,892,672,229,
383,379,492,381,061,153,775,339,114,393,587,094,945,591,352,210,811,762,016,
978,939,737,854,551,187,220,343,754,193,436,853,254,758,818,694,372,200,985,
052,804,575,270,669,021,355,628,889,821,428,034,802,761,772,193,422,632,508,
702,522,025,740,400,240,762,444,849,316,444,801,149,146,844,329,860,615,894,
894,735,643,445,024,199,244,526,156,991,451,336,716,546,996,593,772,638,549,
280,779,994,758,908,961,210,909,295,718,410,160,462,786,634,950,320,963,278,
691,953,875,454,749,926,837,926,748,169,316,638,135,869,930,675,109,373,016,
917,064,019,280,785,793,368,242,208,815,139,076,277,494,838,769,217,375,779,
024,389,351,301,832,303,030,291,913,429,566,143,945,723,515,293,278,085,474,
541,134,758,200,781,342,579,453,741,030,166,093,581,067,932,641,334,465,785,
113,496,465,087,769,270,312,899,175,205,909,143,266,416,630,780,454,424,475,
251,212,766,790,422,201,218,802,493,198,566,763,610,762,380,088,493,960,732,
722,401,476,496,583,876,954,346,650,602,085,928,206,774,004,863,188,361,356,
357,059,967,655,562,228,306,683,387,172,380,149,563,257,252,409,822,000,146,
972,832,795,089,627,367,662,813,030,949,867,416,584,230,049,371,766,776,019,
327,549,040,864,749,458,143,724,297,915,877,598,811,438,791,048,408,043,573,
349,710,032,254,777,848,297,834,597,502,946,447,902,604,121,621,398,828,470,
628,011,540,624,268,857,378,710,069,991,226,129,604,920,675,356,587,365,793,
420,281,569,109,809,706,600,558,045,635,011,942,866,283,083,050,978,353,375,
421,088,098,867,817,396,498,007,280,909,001,464,484,119,630,465,028,597,271,
028,029,881,657,155,857,554,421,921,422,321,712,505,824,589,731,718,161,007,
497,115,573,077,646,021,590,730,839,421,606,234,246,689,453,215,470,612,912,
217,490,145,042,154,289,072,396,528,740,159,634,140,135,422,336,592,526,421,
363,316,470,251,677,483,466,352,196,589,630,939,218,803,557,886,885,436,014,
891,105,669,883,493,176,589,381,986,719,735,420,889,842,164,868,981,733,292,
965,021,752,418,602,783,568,826,694,961,082,011,910,691,378,646,400,780,826,
971,818,177,237,652,057,871,648,516,824,408,661,926,810,765,241,271,205,959,
865,039,466,482,665,756,713,017,579,711,395,948,813,697,126,671,125,663,161,
343,261,858,334,909,137,222,044,174,491,809,906,279,308,000,660,635,229,137,
889,774,008,980,360,262,897,995,746,583,123,507,525,344,135,116,256,187,665,
163,737,897,071,033,175,566,393,230,897,581,570,643,979,226,034,726,272,073,
796,122,670,826,010,722,551,090,555,312,711,420,514,592,066,154,003,231,637,
958,811,426,053,209,906,565,996,628,197,689,310,534,005,337,245,392,605,669,
841,162,109,535,186,882,451,979,752,211,335,905,173,241,741,781,678,835,681,
071,163,019,556,862,455,500,636,081,999,013,125,891,003,601,628,162,447,206,
953,457,997,391,952,282,802,481,156,239,132,321,095,213,597,421,413,336,798,
367,224,496,104,435,997,074,365,665,157,517,799,362,316,046,467,482,181,274,
493,743,171,758,679,091,368,707,618,801,331,845,919,915,325,357,807,413,223,
019,395,027,546,041,553,816,372,104,406,509,497,028,181,779,403,479,592,233,
061,220,434,256,332,493,762,392,111,434,079,587,584,614,593,159,401,752,891,
756,901,641,608,612,701,203,306,046,537,304,446,145,547,255,972,705,169,790,
424,443,366,253,926,470,269,642,371,357,905,705,506,369,404,642,894,198,407,
381,472,334,470,990,809,649,042,719,118,645,310,542,766,925,742,284,263,528,
404,568,763,271,261,669,822,944,664,126,228,872,971,731,162,980,307,785,143,
357,856,356,671,883,976,571,877,058,986,002,834,130,483,672,051,745,731,127,
303,925,306,150,525,239,553,972,759,198,903,325,849,868,729,955,847,566,181,
660,788,388,119,705,163,946,523,277,607,000,933,991,835,947,433,641,795,858,
886,126,693,009,062,913,279,006,178,457,608,392,308,851,536,777,907,335,813,
543,753,361,591,157,903,133,299,075,383,321,792,556,446,570,916,906,079,125,
184,385,021,459,530,551,274,396,367,686,746,208,729,092,932,356,933,103,273,
829,259,793,601,152,678,538,569,187,860,612,580,840,782,032,634,871,700,650,
311,157,851,393,974,685,981,706,179,445,228,551,718,449,188,531,286,766,843,
628,264,359,175,485,574,322,582,834,877,749,871,837,120,816,003,689,660,538,
591,437,038,257,831,611,359,724,757,248,604,882,550,504,691,549,109,723,230,
357,786,622,911,885,988,770,579,138,195,739,785,292,456,365,864,038,139,181,
526,116,888,592,429,713,439,471,309,431,127,699,589,445,013,192,017,126,687,
288,461,480,952,961,117,889,499,480,172,147,017,561,054,906,712,311,768,953,
283,688,080,355,485,427,390,260,058,151,762,811,990,117,148,826,911,117,755,
577,632,699,215,878,815,640,193,143,253,467,726,696,345,235,617,271,383,477,
418,090,131,272,078,159,617,517,331,492,508,949,836,009,369,683,340,864,791,
031,924,622,512,764,820,941,824,013,315,573,979,681,854,307,934,630,023,694,
916,260,310,478,448,060,651,130,063,635,800,051,115,731,789,996,638,869,935,
440,382,646,782,665,642,601,280,567,810,410,575,454,937,464,213,235,425,436,
045,624,510,848,185,406,026,389,355,240,220,185,636,298,547,547,833,124,282,
511,825,730,876,966,471,155,263,256,499,940,277,407,195,974,933,746,902,589,
738,319,779,570,314,529,880,855,248,040,159,732,638,559,109,112,422,276,932,
705,182,964,195,229,781,760,363,431,192,719,034,959,002,133,294,908,091,075,
214,911,695,209,235,994,401,102,831,768,308,375,543,429,844,882,179,818,250,
134,686,928,655,025,433,021,572,378,537,304,413,508,550,548,111,083,456,688,
119,973,230,129,042,288,625,527,682,939,030,094,465,556,676,626,548,763,044,
346,249,671,977,172,343,583,685,980,239,242,018,206,129,039,754,674,740,549,
959,029,477,568,608,928,332,912,453,376,535,546,954,862,987,822,511,162,689,
435,641,637,477,593,594,750,979,936,820,677,154,632,086,299,536,255,952,617,
105,148,696,648,251,868,548,364,402,281,237,371,611,099,562,578,596,844,994,
750,049,644,733,703,436,525,260,740,454,847,475,342,086,012,649,766,112,849,
920,185,573,742,429,343,717,096,962,166,645,237,496,787,420,864,228,502,410,
315,719,962,971,141,470,874,687,139,279,080,360,605,972,766,514,506,104,090,
130,582,823,336,403,658,160,107,402,571,594,186,273,735,756,438,056,006,952,
718,629,788,569,274,088,621,276,595,557,148,012,992,626,475,034,600,897,213,
690,328,706,442,902,324,347,174,377,673,314,645,284,930,797,906,435,034,501,
099,239,346,833,830,850,836,803,875,196,697,868,619,383,566,052,140,086,879,
734,249,957,454,818,902,177,938,747,524,673,316,038,748,822,428,025,698,700,
537,620,093,087,042,659,634,236,857,855,202,071,878,569,609,331,134,560,802,
563,333,084,704,062,169,500,669,941,667,731,844,205,317,251,858,285,450,424,
203,620,601,643,815,445,496,242,057,278,217,554,308,470,607,718,841,712,300,
595,425,401,130,890,867,646,723,079,334,967,548,709,227,851,245,621,386,516,
339,426,612,528,955,503,584,787,965,929,866,176,714,542,283,570,966,168,298,
655,921,461,644,122,166,854,845,808,876,600,746,666,934,488,822,156,027,509,
566,745,113,812,486,571,364,142,286,146,997,150,173,352,229,038,797,007,468,
260,424,276,755,942,078,988,610,295,410,555,150,496,082,142,628,052,542,033,
078,223,234,879,945,540,357,495,136,390,652,658,536,725,269,919,753,193,687,
048,905,289,909,656,297,515,236,088,690,789,612,966,678,626,740,453,047,273,
828,943,749,192,758,101,621,392,554,253,637,940,748,511,458,294,989,285,194,
591,240,757,380,181,579,919,697,175,702,750,412,595,894,278,386,826,579,419,
140,932,662,434,532,583,729,414,908,721,576,112,157,929,378,729,540,910,040,
070,719,733,696,576,123,495,950,217,165,222,908,221,056,951,286,860,073,078,
459,388,443,068,291,049,617,174,586,815,422,170,200,801,523,799,128,684,106,
140,374,302,997,049,705,923,789,279,499,515,691,902,207,976,779,452,231,084,
234,804,313,448,341,154,409,250,965,200,986,012,535,662,021,629,549,974,896,
474,728,008,060,744,682,448,853,343,780,924,912,720,689,152,010,470,214,043,
017,908,965,497,760,601,175,047,921,801,216,683,121,877,116,915,970,803,321,
708,944,425,179,374,585,145,192,798,673,125,498,270,067,035,893,430,426,502,
063,637,777,751,055,908,282,958,571,500,936,960,769,689,087,724,671,833,501,
895,629,579,513,402,091,068,400,345,785,095,815,963,342,154,357,573,022,535,
439,230,739,194,649,821,030,026,223,652,520,618,860,770,020,525,528,942,765,
226,101,140,400,715,148,137,600,202,997,664,027,613,352,903,648,761,037,454,
641,606,942,644,168,684,623,270,256,535,552,847,558,415,708,811,563,026,571,
217,998,160,050,892,013,618,579,456,880,613,037,592,157,730,294,594,148,352,
356,343,762,487,482,696,778,873,613,486,778,641,163,348,241,407,056,535,298,
030,996,070,339,359,690,007,162,772,351,943,084,247,642,558,136,333,994,544,
305,256,030,496,654,910,646,961,784,008,802,205,136,762,846,904,277,898,035,
559,544,607,410,984,359,527,881,024,790,274,498,324,513,940,258,787,633,769,
560,867,666,128,736,750,732,267,909,735,747,753,873,323,106,371,217,929,912,
253,824,865,490,830,868,061,189,110,604,661,126,611,599,571,602,507,195,484,
592,711,027,219,522,388,836,587,864,576,136,254,267,762,880,511,112,325,644,
199,429,137,059,255,539,375,350,029,397,589,298,525,198,675,236,883,184,570,
764,075,784,579,329,901,722,442,581,774,588,624,127,995,818,784,222,543,408,
377,853,884,452,620,407,702,131,582,066,391,866,533,348,449,168,018,272,204,
267,884,611,716,215,621,396,869,152,500,130,429,493,422,207,425,167,371,358,
324,335,018,217,103,053,006,102,157,805,104,921,475,753,177,289,907,728,182,
605,624,562,627,541,709,527,195,749,885,186,702,985,054,666,640,099,626,773,
657,661,470,300,565,810,379,464,606,618,065,472,831,731,895,222,872,199,043,
920,869,184,448,272,829,501,863,187,836,279,689,677,845,792,231,037,289,430,
315,324,344,933,327,016,185,541,020,829,524,674,757,284,859,722,890,545,788,
585,952,289,883,397,476,011,202,073,918,134,361,570,545,529,801,286,893,605,
232,927,278,733,577,307,534,349,721,361,926,539,213,712,712,844,557,264,535,
983,952,664,354,677,062,956,558,035,068,750,893,527,899,749,137,351,915,676,
701,367,852,168,651,317,448,626,808,890,410,041,679,757,670,752,032,238,133,
165,587,095,836,332,741,019,816,747,286,378,860,070,648,088,584,249,491,520,
924,030,541,159,117,989,157,684,493,641,085,062,341,597,676,510,611,947,981,
217,521,654,119,580,638,753,138,166,267,749,649,933,939,293,330,087,897,202,
629,988,532,634,617,947,802,626,065,920,312,108,527,496,457,918,138,116,697,
775,902,558,970,769,034,944,206,575,762,712,952,108,543,675,107,959,929,032,
429,256,952,894,517,374,648,029,780,825,749,768,053,218,207,800,807,752,387,
199,042,619,476,674,552,061,330,204,701,202,716,325,289,805,648,900,032,169,
187,533,098,671,641,393,406,825,140,647,182,882,557,563,132,211,721,107,611,
637,490,736,569,413,752,454,666,482,074,813,116,338,522,757,605,361,681,595,
018,641,046,816,429,067,589,116,068,663,109,613,308,064,524,743,707,837,698,
123,913,793,748,943,503,762,375,841,990,572,860,620,228,836,193,914,452,532,
319,401,505,891,403,401,403,850,183,886,511,313,126,455,896,439,736,864,017,
213,339,445,192,902,118,480,741,916,675,549,392,481,020,905,166,258,684,389,
762,078,572,494,572,144,724,033,977,683,799,620,446,495,507,485,641,823,051,
484,658,687,123,763,890,774,583,403,641,393,974,192,742,281,783,323,038,130,
230,312,487,199,169,292,124,125,108,289,581,485,975,651,893,477,761,393,431,
948,365,163,039,011,934,429,233,742,670,021,449,906,716,422,003,058,002,647,
862,445,267,914,013,294,828,887,658,513,378,385,913,473,357,459,945,248,952,
146,789,961,772,426,662,747,628,461,532,431,759,787,864,559,255,191,074,238,
864,142,662,172,596,355,378,525,397,080,129,773,463,154,952,515,258,852,347,
441,477,228,774,678,885,980,063,090,052,699,434,858,005,034,575,386,325,230,
123,779,543,828,567,309,819,805,203,059,510,631,745,079,653,844,141,563,708,
588,616,154,525,574,816,319,392,374,728,129,464,805,399,890,245,871,254,070,
259,593,329,467,742,026,290,569,972,547,030,221,815,827,172,878,590,918,605,
413,577,759,752,533,262,995,294,862,073,903,815,019,229,513,723,195,444,988,
399,511,095,256,054,799,366,602,259,564,790,725,510,460,688,806,925,106,416,
395,040,575,241,445,710,566,355,001,534,240,076,446,824,360,363,852,005,443,
720,402,508,220,746,322,561,018,434,125,012,505,316,311,723,016,874,868,985,
467,367,333,635,985,074,503,608,975,859,973,511,419,179,933,554,775,760,088,
124,889,353,795,728,869,847,637,561,966,125,226,751,582,826,623,416,142,580,
842,821,913,144,060,376,648,774,596,879,813,054,782,726,674,140,065,473,480,
025,587,012,516,300,195,043,448,895,241,392,972,199,557,010,176,401,098,701,
180,913,830,952,192,700,410,285,896,581,729,515,015,035,812,397,929,407,372,
169,348,253,607,130,812,015,868,436,143,885,233,100,568,507,160,212,921,053,
992,366,038,789,666,503,578,312,145,182,319,388,509,976,066,275,074,882,218,
509,943,350,556,329,603,665,633,921,668,296,705,089,791,588,142,213,689,268,
946,442,451,322,567,201,013,568,637,876,555,394,536,211,205,241,389,066,050,
527,134,344,332,620,987,760,740,373,516,504,510,825,437,227,678,488,840,844,
945,312,507,749,924,889,907,820,243,324,079,478,950,473,310,898,533,252,404,
573,540,456,053,728,805,042,282,130,377,682,331,722,409,457,436,745,790,082,
228,031,817,961,926,738,192,033,154,016,160,178,417,976,813,235,474,475,952,
806,359,602,239,683,060,648,941,100,827,261,146,762,882,622,467,348,514,229,
799,562,206,732,102,486,980,391,546,524,643,042,908,505,491,735,597,385,801,
871,725,483,499,533,622,056,798,876,311,068,793,112,299,504,856,108,021,113,
030,013,734,152,742,622,362,074,592,124,050,784,516,274,631,837,511,552,736,
755,681,634,520,731,477,461,477,677,514,410,151,186,746,146,489,814,905,815,
197,772,531,600,402,012,719,480,668,190,926,926,303,205,921,673,337,515,566,
426,336,408,245,160,022,944,811,514,836,559,312,378,934,611,472,105,944,420,
660,534,943,455,270,449,382,077,519,648,177,798,694,416,587,031,875,716,407,
118,087,585,152,993,059,079,580,935,369,727,383,448,741,028,030,525,902,461,
945,218,021,449,609,077,090,473,488,411,086,388,966,020,592,672,157,239,698,
256,115,506,621,488,576,337,688,929,463,887,937,643,335,451,226,408,068,072,
689,175,558,838,254,738,962,609,825,213,036,356,260,772,798,006,595,702,227,
528,171,854,565,202,617,939,319,552,007,559,796,951,827,892,413,053,042,265,
838,201,695,428,312,604,663,386,564,917,273,193,129,218,524,825,579,763,693,
498,091,029,786,797,521,814,320,208,513,673,116,582,563,631,626,859,589,639,
104,131,495,505,567,471,807,332,403,766,586,950,943,809,366,323,572,806,264,
437,175,815,550,960,877,362,557,894,241,250,538,012,074,282,211,223,563,288,
044,538,677,067,388,068,970,129,357,004,192,798,962,697,477,394,264,480,822,
378,506,933,349,723,449,975,000,658,531,363,890,407,531,313,398,288,319,497,
076,548,636,817,565,956,316,996,130,727,853,433,360,059,807,957,815,601,185,
072,192,333,574,510,540,356,347,544,359,046,297,452,135,751,045,165,990,117,
708,738,104,733,207,193,200,308,188,651,820,703,009,751,830,082,364,049,319,
911,352,027,269,035,282,960,038,475,338,420,217,511,224,247,295,663,571,628,
345,732,043,465,615,105,864,684,877,673,538,568,448,112,391,940,635,996,536,
524,349,801,056,525,450,484,402,605,137,284,256,801,011,418,036,973,472,478,
657,948,222,343,734,047,372,207,059,326,708,517,765,145,723,945,123,736,069,
769,992,971,239,663,165,871,932,426,648,148,981,034,565,814,878,878,541,977,
117,940,789,873,031,395,666,229,489,163,240,439,191,924,357,214,970,630,296,
734,731,408,051,972,186,765,174,491,389,952,899,348,951,506,560,418,798,472,
890,287,114,119,049,991,156,486,984,076,350,050,178,362,201,486,087,302,589,
528,957,016,457,394,272,776,808,259,560,965,679,557,146,267,166,123,666,075,
459,306,547,559,141,292,346,315,162,739,404,233,115,692,828,757,753,708,692,
372,129,449,385,743,874,838,540,020,452,067,374,379,922,518,477,299,391,948,
926,696,536,382,792,704,991,133,259,616,716,136,346,807,592,604,030,152,411,
745,872,738,245,963,520,884,400,470,257,218,443,916,779,016,745,451,369,396,
059,226,221,207,826,921,862,656,964,566,781,113,119,294,883,753,837,254,905,
149,759,306,250,747,357,657,757,447,726,981,572,244,800,853,809,214,605,821,
521,511,399,897,467,443,424,003,729,248,694,045,359,169,812,708,186,725,073,
425,713,222,625,761,705,500,357,167,090,004,864,543,168,893,088,312,987,650,
471,312,531,097,970,378,282,747,151,324,898,064,415,722,893,028,866,987,680,
386,987,459,054,248,839,214,022,300,229,086,099,465,651,243,818,609,313,440,
717,453,712,101,487,421,886,663,587,529,756,157,298,522,389,905,523,989,276,
132,499,219,619,362,065,305,888,290,243,222,268,965,939,405,458,990,366,635,
654,660,310,501,360,439,337,013,655,909,161,031,231,341,816,907,419,457,470,
063,167,909,756,786,078,160,166,212,695,514,819,321,383,325,311,857,269,573,
689,636,752,383,981,394,615,389,591,595,103,060,839,220,569,696,828,950,725,
556,465,902,129,489,783,068,886,789,193,811,854,930,730,012,056,052,856,766,
839,968,631,461,461,358,345,459,885,575,107,989,370,140,412,009,447,195,423,
994,382,841,924,705,253,878,894,916,752,798,612,244,199,727,606,581,675,372,
440,865,800,183,385,900,023,527,231,901,202,599,919,547,130,219,004,312,117,
681,436,863,544,592,224,244,440,033,983,632,489,406,277,190,620,662,622,894,
922,365,071,544,403,243,891,729,326,673,781,775,343,012,579,147,109,320,837,
391,046,267,716,154,271,388,009,767,293,501,931,466,030,943,322,902,486,857,
076,276,972,123,371,112,487,769,938,111,335,651,228,325,264,348,645,754,772,
232,485,040,814,379,939,435,670,000,025,311,405,135,078,565,331,775,425,767,
233,903,586,392,001,716,534,798,113,550,637,998,710,476,697,203,437,804,733,
301,879,768,087,100,916,892,240,839,806,871,220,693,424,909,986,399,356,249,
476,680,701,330,576,512,584,241,822,071,022,486,147,566,053,035,340,727,252,
904,395,188,752,716,886,383,383,708,828,581,781,485,889,240,826,192,869,227,
726,371,181,335,247,396,205,209,516,378,204,591,462,609,596,511,627,785,398,
167,221,100,309,303,619,423,350,592,207,596,955,522,035,517,402,416,842,254,
255,231,433,398,367,418,917,916,273,898,077,723,411,452,890,511,963,119,207,
636,027,952,939,872,419,776,515,143,852,472,817,554,270,931,934,682,297,296,
602,276,355,577,967,688,029,010,165,246,850,117,445,792,589,468,629,317,906,
656,926,356,513,476,555,892,445,983,580,764,623,317,852,590,611,031,123,445,
184,911,139,008,560,996,467,549,365,358,861,978,804,876,888,008,205,076,857,
696,244,115,831,322,840,174,299,960,326,043,185,205,386,783,943,837,215,551,
781,435,900,901,305,914,065,707,619,806,538,589,003,623,291,592,030,525,360,
363,741,802,106,800,029,584,941,178,278,886,476,541,627,622,634,796,872,245,
502,093,347,839,489,200,700,838,742,538,772,842,766,103,558,338,095,747,944,
902,535,471,956,766,560,831,181,734,476,183,128,394,600,462,192,689,896,233,
208,630,675,384,923,153,099,005,219,130,788,328,991,036,361,553,015,737,989,
666,174,706,977,784,482,563,787,579,120,705,608,285,044,975,362,575,418,993,
901,808,805,408,805,829,343,310,621,150,980,317,193,933,132,809,364,276,131,
794,678,832,210,231,359,454,076,685,677,831,048,401,115,866,034,768,093,901,
279,608,219,543,185,382,727,885,371,723,751,792,111,507,323,018,414,193,360,
921,717,061,498,396,644,735,598,913,407,124,848,208,722,294,989,266,263,524,
655,122,353,566,712,517,291,838,437,129,073,790,223,755,098,548,755,269,804,
289,616,594,015,080,919,857,901,396,140,481,418,034,404,432,791,642,919,644,
953,283,733,022,368,208,490,863,981,974,664,730,539,221,853,094,389,505,930,
606,378,620,534,115,835,775,146,738,539,725,696,639,206,624,018,237,089,603,
155,432,499,398,589,543,032,656,290,983,962,608,751,120,746,664,482,833,858,
399,938,957,525,883,034,746,978,048,810,537,170,675,575,453,212,393,841,072,
453,324,435,383,875,927,182,755,519,771,915,543,051,748,720,673,212,685,837,
627,262,969,341,579,791,349,090,247,162,006,819,899,080,569,563,856,990,070,
283,371,591,038,140,510,260,601,667,525,112,278,178,431,428,427,472,278,366,
300,636,795,452,108,054,816,354,314,542,227,625,457,492,387,706,773,870,100,
352,855,504,049,815,786,472,624,755,591,144,177,551,017,808,201,785,479,537,
970,181,031,606,228,003,547,510,393,663,693,839,280,613,328,830,494,042,766,
405,443,447,202,531,321,489,596,458,850,286,087,076,190,414,408,874,895,506,
074,732,717,726,405,702,956,673,316,877,240,966,132,892,211,323,017,936,431,
962,437,082,003,750,257,734,445,383,422,909,870,722,984,029,927,185,943,350,
499,143,432,170,387,889,687,151,296,291,030,754,620,336,552,417,380,248,055,
185,420,762,596,638,930,262,746,631,448,283,917,358,144,496,455,176,760,313,
956,407,817,265,532,567,219,650,231,802,767,791,273,536,839,346,292,805,830,
739,290,404,457,430,498,515,092,039,109,144,185,731,950,570,299,737,741,664,
977,909,569,467,747,349,595,621,603,004,427,820,670,608,683,590,888,980,511,
469,114,750,144,978,285,547,743,425,139,158,984,606,877,477,269,308,131,967,
892,065,596,813,149,249,281,756,096,187,782,889,915,465,931,454,465,967,136,
143,244,792,264,384,479,984,318,146,004,929,296,572,415,007,165,660,463,558,
705,606,787,399,055,541,162,404,486,978,665,355,146,541,166,617,066,136,118,
373,613,775,071,351,131,535,853,441,519,654,880,995,836,936,598,677,597,345,
415,653,805,730,745,116,527,989,052,599,822,944,265,279,408,959,047,266,652,
283,944,104,280,500,637,021,438,844,555,726,829,468,595,239,653,192,265,386,
620,433,854,701,644,456,300,554,789,645,830,808,954,957,798,610,118,905,498,
198,353,173,288,920,018,825,580,257,982,902,912,419,154,470,261,434,098,485,
677,215,672,230,926,313,224,977,099,995,941,223,930,101,569,976,579,952,729,
759,054,691,982,619,424,425,044,360,447,738,704,953,180,301,911,350,277,503,
154,340,439,441,235,720,770,985,333,996,183,215,778,265,708,940,126,914,612,
876,283,870,264,428,845,677,567,973,533,517,104,304,858,352,435,260,568,132,
846,396,688,650,531,028,981,057,819,085,010,184,860,558,522,925,345,236,674,
717,689,204,206,128,840,507,888,036,231,912,838,821,068,103,629,301,277,102,
733,878,047,699,043,346,322,794,421,960,397,137,997,257,319,809,665,554,007,
597,827,470,662,796,649,399,464,613,939,429,237,701,438,118,570,781,306,019,
958,704,015,432,253,126,847,133,986,892,294,569,529,193,602,632,802,992,787,
020,601,818,851,449,164,216,347,325,871,630,969,196,687,135,087,479,628,395,
437,952,715,692,867,604,390,938,067,523,734,313,460,874,071,034,113,429,579,
394,291,026,694,717,451,040,145,333,925,719,597,699,118,065,251,970,882,171,
287,166,749,527,985,267,182,476,500,956,945,405,498,898,109,617,962,296,494,
204,839,388,674,574,427,379,832,862,116,314,829,467,734,351,945,704,829,610,
573,516,531,356,371,324,775,395,398,844,085,240,003,572,892,702,252,967,456,
971,959,394,598,983,288,157,477,263,313,941,504,244,398,231,940,753,448,924,
348,480,829,921,259,690,798,814,924,964,604,384,845,006,649,398,887,458,182,
681,757,461,101,111,599,852,326,388,402,323,506,036,251,562,465,250,918,350,
519,252,825,733,405,702,353,713,314,324,940,884,671,583,782,894,345,980,565,
492,579,176,612,668,324,640,654,030,854,565,179,175,731,730,890,019,605,747,
056,907,172,287,905,197,483,525,185,445,105,093,873,875,714,264,439,596,542,
232,171,843,048,908,998,095,601,487,302,800,866,725,971,653,863,049,391,767,
161,822,850,651,676,429,042,979,537,508,180,854,521,237,654,498,467,716,235,
341,431,554,703,940,195,350,415,233,649,464,171,858,163,222,941,181,861,327,
764,799,753,004,604,265,233,852,627,440,249,056,987,583,784,014,669,847,487,
059,768,527,345,186,787,777,301,916,914,257,447,164,031,188,509,113,649,321,
196,570,362,642,147,765,130,222,504,874,848,894,521,299,139,970,139,461,112,
808,782,129,217,417,364,759,664,843,615,509,786,900,559,191,670,268,635,990,
624,332,163,311,078,485,338,896,177,729,420,175,512,429,373,830,105,584,676,
408,470,823,159,284,956,783,662,041,548,792,957,915,459,601,199,530,214,836,
138,030,814,583,145,214,399,646,461,136,712,146,946,214,522,727,381,069,136,
410,956,963,481,438,865,514,466,641,395,996,797,412,691,219,758,804,096,189,
743,360,517,927,942,502,239,827,904,971,481,866,233,092,272,572,255,468,402,
335,363,938,524,714,759,087,821,319,038,548,662,923,182,956,495,048,963,131,
202,839,442,447,840,945,834,764,299,138,168,654,984,286,282,417,334,126,505,
974,137,120,797,377,162,281,460,242,757,226,125,689,921,040,246,948,726,368,
633,775,066,885,231,767,847,124,739,385,883,572,668,915,043,781,083,649,849,
464,848,653,200,746,321,386,196,644,242,485,886,754,158,378,238,800,216,397,
250,045,955,206,536,226,004,676,058,277,710,842,010,803,311,221,673,351,146,
029,462,532,748,209,612,657,337,509,742,990,263,013,922,846,910,939,041,787,
195,870,118,819,373,743,350,718,842,101,937,053,637,417,803,801,749,904,609,
489,700,543,042,003,290,402,922,508,513,725,646,062,381,128,841,698,705,840,
454,861,205,030,942,410,779,160,210,078,666,037,270,521,127,614,733,066,139,
236,573,480,832,783,764,527,506,325,724,613,436,036,526,271,827,772,068,057,
590,272,491,941,925,393,478,211,704,419,755,559,795,448,101,468,872,317,493,
102,611,894,828,353,246,575,863,853,828,054,934,859,510,034,090,838,810,247,
092,022,463,494,294,387,719,961,188,525,376,438,494,249,580,314,148,754,919,
735,655,083,882,136,374,774,655,764,251,909,002,716,855,164,749,894,867,606,
454,098,130,544,299,284,495,197,851,989,519,833,961,209,155,875,533,890,515,
393,166,688,730,148,579,555,552,742,008,659,669,731,251,309,058,087,368,994,
293,956,414,430,462,370,050,929,191,710,712,777,305,899,679,070,705,215,294,
663,464,287,547,648,832,116,119,980,655,754,493,220,659,873,903,211,641,736,
661,979,858,975,839,098,413,469,051,131,610,182,975,044,424,641,788,541,142,
414,657,797,540,734,759,000,897,962,743,951,405,417,025,739,798,527,721,284,
643,463,852,912,818,804,238,898,301,244,804,210,366,027,949,649,260,322,342,
387,653,814,794,044,626,608,720,160,974,015,255,763,493,808,426,732,962,997,
537,560,502,312,915,748,730,681,576,459,560,539,167,187,673,947,645,949,038,
206,451,223,553,718,387,542,589,569,235,342,458,602,719,085,326,011,467,487,
781,140,237,669,209,722,123,418,054,678,999,780,487,807,473,884,702,506,074,
024,822,167,066,768,501,998,801,795,808,157,830,219,144,222,225,667,670,303,
422,059,519,387,139,566,135,806,250,505,097,722,287,826,977,236,479,324,143,
944,837,740,885,034,659,018,732,725,015,072,916,591,331,547,154,283,859,634,
411,391,236,024,673,606,209,145,694,951,293,076,180,121,461,374,067,359,348,
669,754,030,722,440,571,792,117,375,726,207,288,989,167,502,041,540,634,861,
265,688,463,283,609,995,702,118,552,872,772,917,898,415,126,761,408,605,023,
205,178,681,324,358,771,821,290,752,715,008,685,899,750,016,062,693,769,732,
156,440,988,781,413,179,103,954,317,294,933,521,539,174,278,269,293,401,989,
679,486,068,888,176,567,940,520,393,151,892,395,566,782,829,764,188,344,274,
978,155,217,989,275,374,863,630,608,355,930,822,739,733,302,127,359,785,025,
467,917,431,541,242,145,445,185,373,476,246,029,536,306,157,902,728,739,692,
936,780,819,879,943,834,658,006,758,953,258,496,852,676,296,934,988,264,796,
936,686,743,249,736,230,758,931,186,511,980,167,930,967,543,767,994,065,944,
454,270,946,451,674,927,225,728,950,917,817,799,178,334,078,774,785,181,175,
183,886,918,684,694,266,553,356,665,744,112,912,176,163,214,832,202,489,739,
802,675,894,146,527,995,771,243,689,148,513,994,060,057,694,195,024,240,391,
570,161,223,284,114,832,001,530,350,104,237,060,232,050,454,406,863,743,215,
309,718,869,273,517,235,157,238,782,713,741,790,849,411,679,588,594,252,659,
231,249,309,262,233,897,599,624,070,145,391,381,241,312,371,882,116,233,793,
880,863,233,646,551,640,031,051,384,035,944,247,508,054,881,478,689,881,769,
811,723,693,344,312,550,490,999,512,772,036,832,556,562,413,633,547,664,464,
555,115,102,610,410,619,230,143,901,505,326,794,003,169,382,099,855,532,565,
631,515,520,332,871,893,922,340,471,883,200,027,636,837,569,112,221,888,545,
741,833,458,778,662,799,003,781,768,899,222,796,814,245,711,761,903,745,954,
260,985,070,649,409,484,623,352,586,936,247,038,460,444,968,325,070,170,597,
162,219,764,525,264,564,840,435,532,618,937,509,066,082,901,255,051,880,285,
203,004,522,578,461,536,335,464,757,759,229,474,914,727,564,069,922,926,623,
817,629,068,368,947,657,949,189,335,191,886,589,515,083,406,530,862,617,308,
965,506,877,390,740,668,451,854,448,955,958,086,564,602,916,292,595,059,522,
857,873,605,887,434,847,026,572,309,381,256,773,791,255,482,315,866,734,973,
848,506,405,581,795,603,571,787,016,840,509,359,720,501,759,993,217,361,948,
388,250,211,038,360,490,183,181,356,846,289,100,624,290,657,940,945,892,985,
070,705,547,864,994,901,368,122,960,271,850,395,286,888,367,255,699,787,421,
857,955,046,395,037,755,352,999,235,654,786,560,717,085,283,148,877,568,190,
141,635,995,043,217,244,794,269,107,499,658,255,553,251,471,400,150,373,462,
856,674,716,527,269,466,994,649,694,527,096,291,193,417,791,649,795,267,105,
429,419,645,920,267,256,678,876,368,726,234,639,889,408,322,508,282,516,880,
400,058,740,355,470,142,776,137,709,929,422,645,038,761,341,030,423,236,510,
045,528,308,871,168,387,414,640,045,375,112,288,725,066,824,685,637,005,604,
853,938,639,754,943,442,458,807,207,009,394,460,348,981,160,940,260,759,449,
793,065,161,645,738,759,634,000,345,240,898,736,894,334,075,303,062,989,411,
095,374,257,714,445,108,890,907,776,174,903,163,759,372,506,589,510,796,862,
235,835,321,457,874,938,981,019,064,167,594,740,742,532,229,748,158,950,764,
413,812,475,102,608,762,685,915,238,311,083,325,028,670,729,686,978,538,039,
731,902,124,347,767,198,442,418,351,753,504,531,463,990,520,137,998,682,015,
590,046,866,885,493,419,780,634,892,335,248,883,041,686,493,155,265,441,091,
042,419,830,248,656,202,670,600,359,030,631,575,886,290,690,508,761,013,586,
910,361,611,829,046,304,302,577,367,864,771,109,462,364,104,452,032,579,740,
534,575,977,035,644,463,386,635,130,869,716,407,520,472,103,878,893,433,911,
795,761,207,424,353,396,868,767,496,852,937,277,006,437,515,039,732,709,769,
143,107,337,871,384,030,919,812,015,333,216,367,054,400,108,640,675,339,725,
627,963,500,618,776,600,740,924,509,583,164,364,168,446,673,319,758,058,671,
122,097,069,767,656,596,109,761,477,946,150,188,100,561,300,909,202,541,825,
230,938,719,179,852,170,626,346,349,979,295,701,460,576,399,300,960,092,090,
891,109,855,782,338,958,350,135,337,916,348,282,617,367,211,055,335,973,644,
189,249,783,231,753,768,614,791,939,788,358,935,376,134,383,600,707,822,118,
038,907,413,899,925,314,128,483,756,608,279,946,549,802,843,333,106,220,072,
514,358,399,665,217,463,587,169,271,318,612,160,947,980,123,495,513,747,070,
201,353,037,393,006,202,509,451,955,926,407,873,466,133,698,414,400,036,268,
440,157,077,190,393,826,886,395,398,237,447,347,913,313,039,041,711,134,529,
174,757,155,762,430,181,120,680,127,241,300,605,462,964,551,243,712,493,321,
477,224,601,910,037,516,854,010,884,124,795,423,598,061,948,795,490,643,614,
152,967,869,515,441,595,966,922,237,535,510,041,578,687,567,012,502,774,250,
236,801,856,632,549,719,442,673,891,981,341,280,947,224,153,573,958,044,734,
858,722,126,594,048,559,620,060,767,210,837,065,969,291,144,998,727,146,409,
231,837,324,358,765,829,757,820,414,613,077,639,038,643,610,132,403,303,442,
740,665,554,392,420,068,884,807,118,545,128,447,260,530,278,460,714,207,830,
862,236,589,628,684,107,051,593,767,400,099,507,561,201,784,064,931,096,599,
469,961,632,005,156,469,867,258,823,216,369,376,714,323,629,383,365,125,632,
892,857,765,450,368,340,782,988,445,968,773,959,696,287,643,326,540,867,506,
248,785,227,426,898,671,916,709,569,146,445,507,018,851,081,190,391,460,593,
070,558,377,709,540,103,588,660,533,457,138,943,083,029,725,704,621,210,116,
992,762,649,474,683,484,859,619,297,703,329,869,239,933,016,253,818,237,376,
189,833,650,074,611,597,946,850,795,397,720,951,593,578,584,189,280,483,864,
098,512,715,400,839,839,489,089,629,539,843,391,036,419,996,279,727,207,537,
732,098,664,482,179,013,132,383,579,192,735,962,816,949,819,308,448,761,267,
086,827,187,992,951,221,973,098,305,545,791,246,358,245,974,165,232,657,843,
136,541,542,509,766,790,719,928,443,715,229,304,327,832,566,240,305,440,168,
301,766,423,725,826,309,326,773,373,803,254,987,668,123,134,642,168,717,208,
020,465,432,397,142,099,054,190,264,725,906,435,110,465,684,079,544,110,778,
726,893,960,555,990,705,309,466,347,380,467,817,593,561,877,554,240,815,295,
020,472,036,956,301,066,352,556,262,046,262,302,779,723,219,555,051,402,952,
860,823,727,994,010,724,608,220,355,705,301,023,432,987,150,308,078,267,564,
824,473,443,585,603,898,991,814,074,841,653,951,235,547,006,595,525,665,954,
494,086,563,082,265,566,694,247,061,697,617,009,454,928,083,147,178,284,194,
008,978,192,892,444,886,619,413,237,174,056,696,168,534,259,049,780,473,459,
546,164,577,526,017,839,059,856,015,069,099,574,613,619,911,003,433,761,379,
379,391,524,849,114,926,578,411,957,726,472,722,237,597,230,353,446,295,859,
501,746,772,251,021,223,765,790,377,769,397,501,880,112,419,540,860,538,121,
818,298,098,242,978,513,311,621,393,184,352,346,085,702,080,489,858,921,330,
467,076,604,953,615,343,513,970,617,592,658,213,668,085,824,450,469,037,233,
904,276,228,242,560,814,823,848,912,063,629,633,948,113,921,353,446,451,200,
288,196,952,604,504,781,030,644,139,267,011,714,529,872,270,144,004,127,718,
348,771,129,047,650,423,772,075,725,251,885,071,930,779,782,552,767,812,109,
891,746,026,686,480,312,680,019,561,181,733,729,537,882,310,045,772,177,683,
544,464,871,239,259,073,474,951,210,298,046,661,829,101,629,349,649,036,739,
639,168,547,298,478,433,817,595,625,354,445,278,507,373,702,800,021,922,360,
983,940,905,094,496,589,144,397,681,954,424,513,819,756,961,608,311,887,006,
209,739,734,902,044,753,104,233,508,150,358,788,011,415,811,874,844,982,973,
558,776,755,250,957,103,202,541,241,514,407,298,197,956,543,170,486,771,472,
884,867,575,043,557,972,563,467,432,549,204,109,837,905,354,630,181,872,247,
333,771,927,691,366,500,201,489,183,354,830,472,324,859,827,980,069,504,955,
306,039,732,449,822,244,495,958,775,610,756,749,338,565,406,656,481,402,163,
908,533,643,587,088,325,827,401,046,777,290,044,770,306,244,887,569,556,513,
875,181,586,554,087,521,246,776,794,297,560,735,786,245,880,885,682,459,834,
651,794,013,195,833,970,266,254,630,493,523,714,541,587,701,025,633,873,934,
817,109,116,917,140,183,323,995,137,728,738,293,317,628,949,949,732,742,575,
599,318,962,104,941,028,547,725,729,677,825,305,826,280,267,430,550,475,016,
651,364,334,083,260,691,104,733,731,750,732,669,743,719,460,634,557,713,137,
785,425,452,263,172,469,189,259,865,010,607,222,970,494,696,557,535,452,963,
363,765,267,503,079,203,962,060,052,570,942,490,445,108,758,085,592,415,004,
696,934,612,711,310,379,717,141,224,208,071,220,679,761,806,983,475,745,470,
638,160,968,312,958,512,403,418,547,204,838,869,330,680,209,889,703,312,266,
699,856,108,953,338,775,856,678,768,977,226,461,639,302,996,912,446,829,676,
585,015,143,135,084,426,970,284,509,071,790,328,127,028,590,247,660,678,012,
506,567,297,688,141,819,604,696,745,625,325,374,049,971,781,826,966,915,499,
324,784,447,599,695,382,343,168,309,139,199,027,171,605,181,947,347,652,221,
676,776,558,353,515,580,108,298,059,794,074,187,894,565,658,868,090,658,314,
272,009,799,973,120,475,119,853,424,569,672,377,028,863,749,738,670,043,747,
982,630,958,433,448,354,478,710,204,206,149,292,967,226,044,323,403,494,366,
799,574,893,008,755,469,068,135,422,104,476,979,750,759,015,595,529,675,173,
865,112,709,557,565,173,964,775,221,353,904,225,849,719,320,584,952,783,665,
059,336,882,010,691,139,590,985,088,240,075,981,095,457,577,682,413,351,988,
497,446,923,226,497,732,463,570,256,333,823,678,104,021,778,051,605,940,280,
675,369,382,374,451,891,040,270,181,811,179,334,351,715,643,492,937,139,020,
057,121,187,895,557,287,594,534,584,155,562,427,323,319,842,246,394,921,679,
676,861,238,619,901,317,821,329,888,769,202,823,028,711,680,072,721,959,263,
861,079,373,759,768,457,642,982,994,402,690,965,176,898,533,446,529,798,534,
052,382,122,500,793,666,131,498,261,935,314,830,087,961,460,926,248,831,870,
571,321,344,289,610,628,849,837,904,008,815,101,195,932,317,855,332,154,924,
279,878,468,322,068,199,994,075,539,141,876,431,349,716,701,859,061,455,479,
451,852,670,083,529,337,046,625,036,185,954,427,542,645,506,982,392,440,764,
017,351,650,594,188,443,736,438,469,490,548,717,412,029,106,513,962,200,721,
075,305,449,209,081,786,200,169,892,528,267,292,738,057,870,110,629,522,532,
502,492,492,350,853,905,932,972,216,271,053,072,345,743,352,402,910,444,753,
871,497,166,602,827,560,870,456,842,600,089,060,559,632,077,922,120,850,996,
497,358,885,686,237,738,125,821,339,370,086,648,908,352,153,256,578,717,107,
199,825,698,074,479,677,184,893,534,492,728,084,996,780,170,182,061,114,252,
579,361,582,824,091,286,006,631,376,171,049,739,070,810,645,934,843,028,259,
180,227,962,037,957,329,569,035,970,151,726,698,617,255,173,677,434,806,322,
450,410,436,139,919,317,371,391,412,281,044,942,895,585,160,694,167,531,235,
335,131,606,397,032,318,060,713,281,547,674,861,442,551,498,985,342,920,858,
410,820,686,250,802,621,592,973,728,830,325,909,040,142,940,909,260,669,920,
711,218,961,303,646,251,970,216,547,742,510,593,619,120,908,301,892,008,649,
821,865,349,703,582,852,685,097,037,378,780,897,226,975,908,248,546,972,730,
076,194,196,153,673,609,301,923,932,282,337,522,842,949,768,268,148,405,867,
803,995,690,935,345,062,552,584,109,043,101,374,931,789,381,817,193,158,225,
469,930,379,958,187,712,822,110,734,379,824,423,419,189,426,934,525,100,185,
400,091,820,793,924,845,456,786,403,359,358,156,703,942,890,012,059,377,008,
694,326,554,531,246,710,508,213,797,799,450,507,760,674,318,362,680,449,115,
547,332,308,658,801,446,091,846,047,391,891,524,104,255,842,097,646,493,915,
870,490,913,682,856,581,437,712,566,718,542,764,439,115,634,661,708,101,326,
900,265,145,208,222,212,596,402,507,403,347,554,290,508,054,531,751,257,683,
113,914,067,103,204,171,940,127,566,677,077,591,125,206,158,813,462,303,018,
627,456,762,836,123,721,703,955,954,439,254,288,134,070,806,248,340,193,040,
181,527,809,002,029,327,061,453,080,490,994,848,773,261,914,269,061,425,790,
001,871,670,615,529,613,345,136,286,605,072,125,434,284,128,939,477,570,064,
068,234,898,578,495,121,905,299,492,212,627,397,326,429,619,976,920,794,303,
037,487,361,879,896,944,282,918,831,542,816,262,917,579,788,841,144,087,240,
127,647,465,593,091,593,261,831,292,249,410,374,169,092,104,498,851,562,336,
827,855,952,130,656,139,053,541,266,890,947,094,467,016,562,615,740,155,005,
889,865,637,595,569,630,374,829,878,417,682,890,225,423,181,105,976,308,376,
045,918,454,668,961,964,932,526,888,095,998,240,377,961,479,963,007,212,569,
931,189,418,414,693,492,258,321,144,352,965,492,746,822,322,242,835,020,401,
557,651,615,046,792,211,813,100,134,873,905,312,738,943,708,325,081,641,754,
582,055,431,542,602,964,549,319,170,861,250,166,971,726,218,996,074,859,480,
156,865,542,688,189,826,487,616,839,427,238,873,047,382,179,737,460,723,830,
980,527,977,880,117,591,726,087,839,654,217,213,936,170,497,035,979,988,536,
173,290,261,841,090,117,357,084,833,921,533,643,646,043,760,737,692,982,528,
411,279,301,038,453,093,626,923,409,119,843,389,132,688,956,636,369,568,693,
841,522,418,935,863,686,072,622,273,632,090,639,731,898,821,613,331,573,063,
642,436,052,105,615,067,508,791,731,427,808,730,420,455,281,109,842,370,750,
409,650,884,873,172,471,135,182,324,731,404,988,798,774,235,708,734,955,304,
062,720,628,193,403,431,570,547,140,653,615,046,533,047,438,208,512,847,077,
166,033,215,143,072,360,414,951,348,950,070,806,497,250,604,358,995,533,112,
181,249,300,780,554,997,630,858,698,427,015,297,150,537,147,959,730,310,203,
366,971,769,321,428,134,469,116,119,399,055,894,277,903,442,559,998,969,199,
522,066,025,709,471,953,474,914,280,676,498,022,697,292,506,078,621,968,819,
476,852,927,016,945,361,550,856,448,726,772,613,426,137,010,179,139,193,464,
498,409,886,488,720,599,370,733,289,136,118,322,212,795,696,267,098,360,489,
059,900,561,225,147,832,776,255,174,994,221,055,888,577,603,501,233,718,666,
373,255,766,145,711,617,510,447,180,632,858,909,551,169,828,520,758,372,401,
037,190,297,990,639,853,090,736,408,237,903,535,161,599,940,060,854,966,585,
703,262,170,155,990,269,230,377,613,744,570,905,152,481,563,493,075,183,396,
826,241,843,211,065,191,323,600,644,652,150,001,035,021,646,087,994,578,870,
732,009,107,031,848,082,989,929,809,605,819,231,932,983,884,122,568,663,775,
092,349,450,493,361,827,381,758,451,209,665,360,428,254,401,363,053,496,392,
860,833,094,553,820,918,384,565,693,906,174,195,205,986,516,030,144,624,299,
223,992,524,657,353,966,173,172,040,628,261,353,459,927,155,134,329,184,292,
562,699,953,214,853,773,663,721,495,780,847,187,407,846,471,742,782,565,381,
775,350,754,961,613,992,027,033,426,880,168,999,273,920,982,003,380,851,454,
615,018,032,826,380,730,398,449,528,990,574,248,828,414,664,569,405,057,535,
374,370,972,446,273,611,253,191,563,006,617,772,123,045,238,621,705,002,131,
944,308,940,588,629,197,398,316,810,472,572,906,825,258,534,148,427,709,517,
866,658,349,770,206,465,460,379,857,063,424,189,814,718,392,496,161,232,395,
386,320,043,258,432,181,895,290,694,217,878,938,352,261,857,270,955,296,310,
127,153,780,394,390,312,466,093,446,377,366,902,294,757,636,955,301,370,838,
945,701,359,332,305,629,743,997,615,062,676,507,242,230,335,809,144,936,087,
822,342,489,332,882,790,208,958,538,397,723,196,125,567,959,294,511,645,684,
178,297,636,801,998,380,043,726,025,049,063,512,075,139,371,860,147,301,486,
161,690,051,551,129,984,086,461,694,505,100,221,380,268,872,801,241,043,014,
457,969,398,552,800,375,758,049,465,717,175,754,175,719,742,809,428,588,912,
099,396,369,148,114,136,802,704,930,688,421,318,804,920,026,733,528,027,784,
861,232,292,296,459,326,825,338,139,021,879,875,071,769,452,433,889,261,517,
694,016,760,488,493,670,519,785,149,118,542,473,667,844,956,115,423,679,278,
416,454,627,124,809,052,232,215,404,827,026,043,251,378,778,443,334,637,165,
063,785,465,394,616,236,114,740,778,434,813,401,014,267,915,097,269,953,650,
116,728,429,974,393,277,950,456,621,173,436,396,602,055,111,163,031,166,730,
281,092,668,234,266,519,820,238,829,269,204,460,404,392,552,868,154,388,398,
273,157,925,206,191,033,301,771,624,863,368,276,473,156,125,698,165,132,933,
292,189,337,017,382,561,432,446,141,673,882,149,590,804,210,854,688,570,521,
434,472,604,154,357,065,069,536,524,251,261,189,100,043,420,493,593,446,080,
691,366,912,406,735,424,825,747,519,092,963,083,768,651,907,590,288,244,893,
399,106,791,188,432,973,511,970,018,752,941,048,895,647,678,569,418,390,475,
032,937,350,319,583,997,136,329,701,094,542,237,767,111,637,034,327,080,368,
933,209,987,620,696,798,984,820,767,807,953,554,850,463,505,988,880,250,776,
937,487,936,097,736,710,084,494,436,247,178,996,022,308,117,909,072,974,729,
883,425,756,747,550,046,511,655,447,855,869,858,649,313,451,256,716,193,985,
120,626,294,784,417,584,835,326,857,664,903,958,797,493,500,231,991,429,685,
436,478,259,934,459,424,101,198,425,332,909,796,782,213,627,396,275,308,539,
279,201,071,595,112,805,264,614,160,133,917,545,263,652,430,431,330,797,769,
308,941,642,912,700,779,519,382,997,915,635,946,181,888,315,001,302,285,727,
813,265,526,986,645,979,727,367,506,079,613,238,303,354,745,263,111,132,523,
693,663,781,610,830,076,747,751,588,704,220,286,485,811,161,400,388,289,366,
567,925,763,436,869,492,936,388,410,283,321,993,219,449,579,762,382,749,805,
406,918,334,404,276,925,767,979,852,142,277,323,943,758,314,513,542,970,888,
343,140,215,724,559,123,897,446,965,147,275,681,190,797,730,436,703,511,480,
647,310,403,202,713,400,831,952,525,871,152,023,677,161,970,508,670,210,691,
684,678,379,993,743,359,582,663,919,550,295,725,099,764,336,437,912,967,479,
175,854,209,667,268,931,439,059,413,641,765,230,723,219,601,461,143,028,664,
643,805,966,545,102,586,564,581,507,983,426,702,321,020,744,073,750,069,051,
652,248,618,998,284,128,234,306,174,534,634,727,719,945,176,344,481,942,019,
930,440,553,672,137,808,702,728,579,760,140,528,504,694,452,169,817,385,676,
720,421,783,054,210,085,843,335,176,425,139,967,940,423,074,079,384,379,305,
627,415,653,256,923,803,277,061,446,805,966,631,496,426,584,475,729,066,310,
565,074,641,693,901,781,157,668,426,964,115,351,320,921,395,913,522,918,010,
169,880,393,786,465,361,087,813,273,682,340,805,372,820,350,092,804,707,548,
779,847,970,500,768,366,064,543,478,212,120,107,645,223,670,342,331,208,142,
686,757,211,211,265,157,331,265,195,264,872,224,513,464,909,562,213,546,708,
234,510,041,129,183,049,361,290,903,413,780,686,685,662,152,706,365,238,896,
874,123,226,755,861,415,538,515,467,325,703,367,501,739,512,112,796,843,291,
746,019,937,748,493,245,997,741,374,449,070,930,598,596,837,620,552,443,802,
350,358,423,052,482,207,628,753,704,353,488,454,263,439,332,716,212,638,160,
601,409,472,628,794,316,738,562,968,044,603,833,809,938,522,898,355,441,751,
077,573,952,060,541,054,031,969,231,588,718,993,536,617,973,964,211,096,197,
235,411,007,766,579,912,770,219,534,985,299,261,331,982,460,328,912,836,902,
260,293,054,938,036,923,005,985,923,100,990,014,636,932,434,627,947,858,739,
789,806,999,820,418,151,622,881,871,711,027,170,653,754,103,561,854,317,583,
038,185,307,113,529,004,889,742,775,212,570,056,224,324,481,189,756,911,363,
303,296,975,171,459,541,788,148,385,315,805,348,208,056,297,423,031,703,376,
173,901,086,488,829,368,833,490,321,720,750,603,416,054,755,981,790,979,056,
205,289,383,308,131,649,409,936,964,099,851,041,279,317,585,016,196,028,554,
564,623,545,689,613,316,550,196,624,906,620,742,088,915,959,907,900,310,695,
271,109,218,203,060,007,650,684,825,848,078,062,276,108,680,885,306,067,024,
449,552,693,674,906,729,929,688,519,470,269,265,362,322,316,532,325,693,253,
808,802,884,468,803,756,828,093,552,685,877,635,364,494,523,727,475,883,620,
000,808,128,305,819,857,248,655,299,324,383,086,931,504,449,056,607,024,536,
406,067,785,622,932,430,340,167,604,965,658,924,900,754,268,437,395,374,446,
687,463,753,764,186,336,288,106,346,901,935,840,618,775,803,472,171,193,927,
992,671,464,750,004,923,934,485,195,333,642,377,122,204,437,792,459,185,197,
158,231,631,121,388,322,846,356,692,975,573,349,077,798,668,701,761,789,255,
611,828,646,810,250,929,746,143,135,893,439,974,989,355,667,209,598,007,406,
457,007,229,197,631,048,426,134,377,626,265,237,503,127,936,511,908,733,590,
767,721,665,374,203,040,785,178,279,722,207,675,647,576,906,364,637,204,302,
120,716,660,599,263,918,675,085,888,048,187,310,718,305,279,331,480,038,641,
463,529,606,641,730,684,086,776,953,559,674,933,131,266,154,045,312,197,640,
036,055,210,974,068,970,702,935,199,551,800,105,535,536,866,975,532,032,904,
173,714,375,719,046,405,730,778,554,810,829,846,164,325,621,723,479,328,178,
412,947,032,944,128,502,292,135,479,832,913,987,914,398,524,643,862,707,343,
572,015,068,464,445,824,997,099,670,970,886,641,202,930,350,457,595,968,707,
737,644,047,335,971,505,082,351,649,030,793,604,445,062,538,147,776,329,503,
030,317,938,738,135,923,802,013,390,543,533,211,700,841,740,538,146,893,405,
811,995,375,467,098,196,799,406,709,659,735,565,128,198,438,596,984,147,372,
037,367,962,841,267,204,793,482,083,747,225,043,648,118,201,471,682,400,275,
137,137,293,625,773,699,058,025,142,731,418,207,804,314,490,236,511,650,361,
064,718,671,465,549,905,865,582,557,528,324,581,957,079,164,635,411,548,458,
766,212,303,121,415,242,437,031,076,294,865,179,304,465,834,975,752,842,130,
532,039,990,356,555,647,033,857,271,817,084,657,883,526,407,900,104,292,810,
022,933,363,745,878,403,202,672,006,710,917,279,268,991,644,363,926,038,127,
932,208,627,850,201,034,485,735,662,867,274,512,193,441,927,663,101,758,538,
867,081,996,898,520,958,599,043,978,533,416,584,022,978,435,299,781,284,824,
964,051,445,611,914,012,173,314,420,360,676,111,485,313,019,018,012,862,947,
393,909,699,131,851,740,857,993,109,909,114,149,413,357,996,764,313,254,753,
618,825,323,344,372,767,455,655,707,604,789,776,588,508,810,593,560,826,586,
789,946,383,414,576,660,986,462,095,121,950,389,110,159,295,518,219,924,713,
598,095,023,514,469,924,848,419,213,632,613,197,378,174,148,602,899,582,985,
793,215,413,091,763,600,384,477,361,819,541,103,608,433,803,327,379,954,728,
246,882,479,045,545,186,511,873,124,319,125,483,871,308,169,164,418,778,829,
103,154,962,625,142,382,063,068,119,811,522,358,953,026,136,631,930,488,090,
205,659,295,111,358,191,525,197,609,220,036,962,547,996,461,189,362,736,550,
792,784,325,332,569,438,753,892,763,260,729,146,885,011,730,574,915,933,697,
472,229,491,690,032,492,327,523,026,521,379,896,086,426,609,342,180,424,297,
078,540,103,853,782,083,767,305,464,283,346,666,578,576,429,038,714,657,599,
163,689,829,581,868,263,051,087,088,195,087,820,420,792,100,930,757,898,770,
836,870,734,343,415,253,807,612,008,442,540,738,570,867,471,148,709,722,436,
529,683,285,222,572,759,480,674,572,803,687,890,435,381,757,123,891,640,026,
961,648,522,564,752,015,547,334,785,459,111,048,901,243,058,806,316,478,283,
728,637,645,915,768,133,544,005,017,289,492,617,198,834,630,698,723,731,246,
691,552,580,766,855,349,820,504,644,282,307,274,450,077,450,333,743,798,276,
891,494,004,316,824,389,588,853,732,413,912,618,903,797,612,598,454,216,509,
028,236,506,436,299,127,417,964,063,857,146,319,880,784,389,191,006,135,712,
863,761,818,923,008,777,073,299,031,342,429,061,717,935,484,140,110,069,152,
043,477,069,554,190,926,894,946,875,928,986,995,848,958,516,027,814,010,339,
116,747,711,263,316,442,681,688,810,858,172,266,229,356,256,847,051,401,500,
955,516,780,199,501,495,591,443,343,864,671,505,865,616,866,034,665,506,289,
706,014,803,681,234,538,163,215,638,224,183,259,036,996,690,967,820,971,772,
759,204,037,834,923,035,573,059,090,310,578,112,871,505,092,570,357,932,359,
364,551,093,353,136,112,531,348,099,957,924,191,410,270,696,169,958,731,177,
619,621,989,163,622,141,839,847,515,556,547,559,094,568,386,332,769,567,748,
549,497,054,494,612,030,157,099,629,263,666,211,349,631,752,154,479,239,296,
520,201,273,000,655,072,929,517,093,020,736,060,647,687,240,337,137,573,023,
004,120,841,982,555,144,489,167,509,238,845,868,723,807,041,854,363,413,493,
621,280,375,123,186,389,794,794,670,832,026,995,138,139,317,477,591,851,229,
735,652,777,879,100,422,642,725,070,134,948,375,573,993,280,914,676,975,478,
802,230,350,848,360,405,109,560,298,705,737,157,755,450,779,723,011,432,397,
797,276,788,590,418,872,920,196,288,746,470,957,594,923,440,258,459,261,152,
177,667,647,544,051,115,803,581,500,566,366,922,405,687,264,189,858,899,303,
115,327,317,103,449,255,931,745,223,022,158,578,867,285,698,767,230,202,491,
029,067,963,645,333,801,731,237,693,542,313,889,638,871,020,419,231,112,232,
785,855,632,083,745,851,746,032,087,390,859,818,972,273,539,625,824,669,670,
802,760,245,365,334,788,677,951,221,625,689,129,284,527,739,682,436,142,354,
136,196,334,077,927,643,688,060,766,990,742,974,857,333,317,250,836,332,809,
971,347,959,417,695,370,161,730,907,783,379,108,100,136,054,690,671,954,304,
645,443,972,084,197,703,365,586,107,569,168,259,751,810,757,344,282,155,675,
423,986,198,178,136,261,808,709,473,799,977,196,107,147,592,326,738,722,728,
711,799,594,479,288,997,119,202,046,249,069,509,020,839,454,124,197,197,197,
781,372,141,603,958,365,535,895,911,393,342,703,601,746,531,836,277,278,172,
701,621,439,604,367,256,623,288,236,646,080,108,647,001,118,141,406,374,723,
590,840,298,652,523,581,108,691,187,346,740,789,311,146,401,771,572,536,596,
356,853,358,664,771,657,381,573,080,165,601,449,240,049,205,869,021,975,096,
693,368,159,059,874,156,650,648,089,169,028,526,882,536,440,090,750,932,560,
321,306,362,495,228,358,050,872,481,805,085,976,229,242,459,143,985,424,056,
087,003,885,232,992,847,725,115,132,313,928,998,225,395,782,838,000,540,041,
002,381,456,682,149,848,635,306,468,071,000,823,194,109,378,347,272,929,339,
036,003,865,425,847,743,842,498,608,465,979,508,785,795,142,957,280,763,945,
638,491,841,389,666,307,362,829,646,507,514,083,979,866,194,147,967,420,938,
134,912,904,109,997,274,935,131,804,942,516,010,817,171,204,779,824,878,374,
964,428,774,825,159,143,426,967,453,663,963,612,492,155,973,798,934,666,353,
289,299,217,060,283,741,145,094,188,125,436,989,246,202,196,965,885,246,668,
785,130,449,002,292,931,372,591,103,183,982,058,735,110,573,833,592,286,786,
333,593,877,388,151,862,755,212,072,906,736,764,795,963,694,425,218,163,866,
857,294,322,101,394,179,757,841,820,888,251,317,091,684,373,520,703,882,480,
784,102,996,488,947,792,791,256,060,461,098,783,130,323,173,212,850,799,681,
327,527,023,247,941,505,949,109,031,208,994,452,046,531,307,384,071,424,511,
313,360,380,558,603,668,967,323,849,046,239,285,935,460,138,117,204,469,298,
149,578,317,952,240,714,699,721,098,289,365,708,913,452,479,448,495,846,395,
068,225,340,083,060,642,186,085,926,306,781,901,958,761,481,763,345,908,654,
991,739,858,330,640,037,353,473,009,311,481,789,445,801,406,684,967,125,124,
237,990,358,546,119,589,336,286,765,586,807,311,637,230,275,971,096,921,855,
994,075,585,203,492,653,324,364,651,379,090,232,182,910,637,438,287,432,486,
378,494,944,556,125,176,861,548,587,787,341,731,820,829,279,711,967,633,385,
368,091,852,465,635,557,066,754,842,261,189,163,730,387,740,367,519,707,474,
335,112,663,751,064,888,145,869,529,103,782,141,743,033,002,039,874,030,823,
201,361,120,381,343,947,007,412,380,531,555,644,158,369,647,915,750,028,679,
471,092,783,177,873,196,960,676,736,512,196,027,758,927,797,928,114,115,393,
311,899,681,037,944,124,620,407,216,208,599,721,284,123,616,809,087,585,524,
625,033,867,492,180,047,840,225,186,136,402,194,976,793,097,348,708,871,705,
015,178,493,601,117,266,948,464,217,714,219,002,844,469,240,611,132,419,927,
200,175,597,753,331,147,468,522,228,975,378,090,525,319,598,831,394,281,734,
190,520,611,490,581,697,695,162,040,765,321,564,423,965,663,002,423,849,326,
219,289,889,897,132,089,510,326,548,721,135,241,586,746,930,214,099,811,846,
871,058,348,255,088,938,114,844,789,968,824,091,389,548,025,389,119,107,450,
151,682,928,773,697,604,160,577,740,079,392,800,946,171,444,602,963,888,715,
573,151,667,064,993,241,977,993,229,561,703,189,842,514,567,218,953,677,291,
440,484,705,281,804,411,830,674,356,986,018,072,271,503,587,760,321,584,676,
178,101,585,954,422,487,286,149,204,182,481,015,444,733,664,474,879,640,618,
138,463,736,565,731,193,262,298,791,041,112,193,520,568,669,104,703,374,203,
654,646,720,614,817,166,070,695,967,784,838,122,494,460,476,929,076,412,977,
609,983,599,253,396,280,023,490,428,838,651,540,242,740,488,725,464,345,109,
500,737,200,224,736,904,220,094,497,077,614,709,909,926,272,784,663,221,239,
433,139,570,281,726,159,231,412,506,713,493,292,718,888,545,794,060,654,673,
363,848,104,519,533,091,121,732,662,937,403,028,471,017,897,376,540,658,857,
385,512,491,663,461,866,770,382,518,534,555,187,208,065,188,994,038,668,205,
452,680,409,640,552,914,225,449,925,802,949,037,852,415,692,754,440,782,970,
839,460,674,160,526,709,278,715,146,175,763,164,226,339,211,240,050,673,478,
315,840,614,171,322,797,090,368,438,737,390,700,232,843,040,759,835,566,950,
937,411,195,569,936,792,024,565,882,883,750,843,333,647,456,671,608,718,139,
632,912,573,044,782,778,024,360,639,239,254,477,920,681,221,664,152,822,630,
147,408,429,088,620,875,758,015,977,921,522,706,758,424,207,151,183,586,912,
149,520,263,769,489,799,100,120,557,152,143,904,393,149,539,133,846,976,028,
517,719,384,007,191,110,772,843,905,793,143,766,308,899,404,024,335,061,807,
412,047,706,942,253,248,784,883,879,501,338,057,122,209,851,788,448,830,838,
409,170,349,491,523,223,924,746,040,295,402,527,478,203,133,330,327,840,799,
475,803,948,906,683,701,164,152,572,275,026,185,370,964,624,496,910,230,008,
422,484,338,326,452,056,131,136,550,260,740,581,525,083,347,319,330,367,507,
523,520,261,909,897,813,988,619,180,548,137,969,554,037,857,804,267,842,675,
307,215,205,400,792,805,802,406,032,678,649,780,062,975,269,998,972,391,121,
162,253,582,722,543,446,170,012,392,515,419,997,055,317,874,312,841,519,692,
832,756,427,103,601,097,137,289,913,247,911,636,166,684,464,413,358,471,595,
274,203,885,315,537,167,499,301,526,671,987,243,411,138,617,992,495,979,433,
177,120,546,678,291,714,948,787,809,003,709,860,102,211,784,498,708,999,089,
667,737,198,514,588,992,007,469,423,284,645,823,832,352,247,249,708,711,825,
605,544,951,227,018,585,690,218,908,936,548,515,704,341,287,109,066,056,239,
342,610,163,115,943,540,293,771,611,870,956,401,987,736,227,004,789,347,103,
198,398,087,719,279,860,727,136,741,796,637,055,124,766,310,659,034,398,583,
170,358,380,037,993,195,198,476,000,215,292,691,989,116,119,083,070,468,145,
272,232,614,933,782,215,019,657,990,617,228,379,764,857,028,603,817,415,304,
504,775,321,825,922,688,823,285,289,073,372,151,490,466,628,280,692,115,378,
617,267,411,587,057,920,673,694,089,296,457,374,950,616,279,960,184,730,703,
813,069,718,708,268,559,439,223,689,805,865,982,133,784,172,661,270,694,667,
903,932,843,170,636,754,298,254,803,589,886,197,463,487,079,125,443,649,585,
679,542,570,778,417,231,249,619,634,400,898,692,605,656,209,985,327,322,339,
692,245,210,145,891,938,858,156,462,310,921,930,052,695,792,836,824,256,005,
743,344,533,301,638,521,192,116,140,139,000,700,810,161,224,456,146,828,860,
508,028,507,204,038,654,907,963,136,560,664,870,168,713,826,208,085,081,602,
435,451,470,755,116,382,015,373,513,292,952,652,305,621,117,849,868,209,168,
417,518,153,262,787,663,939,871,984,729,410,104,999,166,954,578,225,660,847,
755,521,018,466,318,274,442,875,946,123,051,671,078,783,310,418,303,577,070,
779,635,577,212,779,713,745,694,115,039,200,825,816,855,555,164,458,676,333,
604,253,877,457,521,229,336,956,748,077,126,929,441,646,763,865,824,219,795,
330,563,907,258,892,569,969,725,076,914,665,351,929,922,889,657,906,908,155,
089,471,643,150,953,118,097,094,609,273,378,623,139,460,738,090,371,287,862,
080,980,256,568,269,768,447,207,463,416,360,477,866,011,589,426,079,695,260,
765,116,358,228,477,614,647,698,562,570,446,799,371,496,653,320,606,716,795,
445,162,008,349,753,861,578,541,448,038,765,569,717,773,772,544,913,552,878,
789,279,768,630,384,976,857,493,976,907,868,824,385,572,051,165,390,760,122,
054,607,516,921,806,779,672,853,029,146,226,064,542,407,919,463,541,177,344,
527,388,895,531,167,837,535,220,479,282,941,525,247,345,091,410,205,793,561,
739,786,137,568,084,641,871,385,345,037,023,067,008,499,077,596,956,196,440,
902,653,571,091,904,871,341,603,798,648,317,724,890,936,035,031,032,096,617,
348,352,702,869,171,477,048,560,035,710,070,263,341,683,912,302,958,818,144,
615,966,766,431,919,859,340,630,947,829,780,355,523,219,122,413,799,111,716,
916,302,731,034,061,328,002,534,643,984,470,735,874,117,810,649,577,935,116,
322,102,020,310,851,171,593,430,183,680,157,855,226,729,291,147,020,635,822,
296,266,557,704,183,568,668,164,717,969,528,619,082,610,373,662,837,849,137,
335,408,995,131,528,212,263,846,496,873,406,200,414,003,162,233,159,307,678,
475,144,993,244,636,113,370,451,329,936,130,692,287,949,808,506,900,951,262,
866,859,492,936,549,781,034,889,438,658,886,792,621,564,307,734,295,860,737,
113,851,738,802,424,040,057,964,505,625,166,197,376,528,810,558,888,695,767,
541,229,606,034,367,271,696,093,507,110,967,414,912,381,830,017,065,552,037,
229,497,389,926,063,110,835,842,986,000,542,012,824,024,073,529,113,979,351,
353,537,430,232,125,274,637,010,968,516,921,817,023,208,434,331,798,960,379,
840,976,867,744,951,595,613,175,084,630,811,238,777,522,806,100,561,671,235,
585,179,496,018,583,475,536,644,075,895,110,283,858,002,939,177,036,444,334,
635,440,820,283,699,988,675,833,365,644,075,581,837,900,723,524,011,251,428,
032,782,856,320,515,793,583,295,365,965,919,459,119,252,595,149,000,795,555,
409,456,959,716,651,622,854,330,470,358,071,388,745,511,391,981,118,843,722,
563,666,939,648,157,971,714,672,909,926,283,505,126,213,951,643,271,645,465,
499,745,985,455,614,143,893,899,694,288,126,694,668,720,151,566,643,414,022,
962,149,736,791,632,956,668,716,419,668,216,606,905,397,709,935,922,111,119,
842,249,643,599,909,240,296,389,166,679,000,863,533,112,890,640,385,373,573,
606,507,434,693,106,594,730,061,562,579,796,382,874,875,148,748,238,098,755,
437,188,233,503,691,986,286,807,548,709,493,340,020,431,963,772,272,995,410,
824,093,751,666,603,190,342,926,267,706,824,995,477,193,036,525,113,019,077,
578,018,045,145,985,198,929,719,931,208,462,083,596,756,447,788,336,479,632,
247,452,488,191,566,485,963,568,152,186,972,015,513,359,536,599,350,045,099,
178,662,135,889,440,356,640,449,315,443,958,953,421,769,674,546,193,215,209,
153,707,318,340,084,115,591,542,114,160,208,258,949,415,847,013,904,928,786,
448,254,660,266,054,126,056,399,737,596,789,238,611,141,302,562,416,993,384,
870,687,531,799,392,494,829,059,128,595,334,032,146,279,572,602,193,758,874,
824,287,083,716,402,377,885,142,760,112,073,566,775,398,355,543,144,807,486,
971,402,524,564,240,353,053,409,542,673,149,517,968,250,147,074,897,150,904,
784,531,165,080,013,540,818,908,680,554,914,439,763,673,825,331,826,515,181,
807,123,941,602,164,181,240,340,988,222,783,441,599,123,359,205,195,893,428,
243,621,118,424,750,766,780,120,347,184,601,753,333,906,800,051,361,571,431,
282,750,569,394,992,852,071,936,034,270,939,168,131,840,632,051,506,775,751,
580,362,214,502,084,128,022,411,036,267,072,085,345,206,624,851,358,560,696,
651,727,688,989,485,481,316,813,646,862,648,298,773,742,444,767,650,018,495,
696,977,895,357,262,707,037,730,792,698,450,294,399,433,249,661,700,488,191,
990,206,974,576,083,296,390,643,148,568,034,909,449,121,938,367,702,556,007,
966,866,942,043,702,163,236,980,986,118,727,775,823,697,917,130,715,460,135,
499,989,243,891,925,171,639,976,155,313,820,658,294,495,725,152,840,472,294,
447,224,667,442,959,857,075,018,321,367,721,523,967,110,666,918,055,202,046,
352,051,892,023,689,184,525,284,952,465,677,055,346,751,769,531,260,165,429,
968,130,478,048,535,690,156,664,948,670,672,864,298,256,101,971,509,450,338,
754,969,439,727,766,548,336,508,235,981,609,507,832,136,329,006,527,898,788,
941,845,782,355,063,825,121,115,725,645,833,306,752,064,047,763,772,245,684,
723,534,714,743,075,365,493,087,990,407,010,056,153,564,575,125,783,610,761,
724,572,428,843,755,870,693,427,415,586,311,022,267,512,383,323,424,746,997,
765,995,533,785,965,022,202,482,719,881,613,084,099,486,582,588,973,773,406,
235,117,781,083,185,046,877,712,337,800,882,988,570,782,190,249,138,285,080,
672,534,012,068,635,371,078,954,346,447,151,788,691,995,748,789,910,086,547,
212,165,368,829,974,549,066,580,397,578,634,852,200,643,308,140,744,408,154,
182,006,980,454,974,254,550,054,245,622,717,809,500,960,725,119,553,514,598,
982,684,996,637,952,381,536,745,151,788,294,439,398,830,024,561,143,220,338,
697,258,727,314,343,333,954,525,952,669,578,871,426,471,493,988,865,297,911,
599,974,302,129,847,106,122,605,406,722,339,027,376,309,959,943,409,650,592,
521,867,932,971,741,281,109,914,025,445,379,834,673,122,778,325,380,579,098,
101,602,610,979,544,083,823,832,028,287,063,199,874,297,063,849,409,625,525,
304,811,942,909,852,892,066,539,953,179,121,272,370,700,245,644,441,217,745,
543,738,840,571,099,751,414,125,961,709,497,953,276,845,289,206,062,893,054,
198,974,948,960,027,206,581,038,041,395,082,682,531,057,737,562,629,819,547,
160,558,095,976,580,972,779,273,085,873,564,136,679,374,153,336,333,588,040,
895,206,200,516,126,850,679,750,781,718,994,585,984,962,979,727,726,031,164,
880,938,750,318,212,455,280,208,745,771,886,727,208,952,174,820,043,105,674,
067,260,906,334,757,685,126,204,108,551,210,505,141,544,154,991,351,477,700,
959,030,081,729,332,677,969,946,681,085,819,018,399,078,849,929,931,242,091,
956,536,590,649,142,605,814,918,109,760,044,555,113,498,688,441,877,956,532,
267,185,062,637,954,001,383,724,590,496,413,881,544,999,503,869,007,672,509,
742,576,116,941,937,186,806,345,731,809,822,883,396,955,224,360,622,471,717,
849,524,090,221,587,583,536,231,072,988,149,119,879,360,091,661,768,239,082,
583,829,805,272,684,771,217,700,072,278,728,834,231,780,703,828,967,376,232,
699,702,345,427,823,737,536,885,096,689,328,289,913,404,557,358,725,045,735,
813,641,472,232,193,217,584,118,005,760,960,475,128,064,658,163,054,094,650,
730,457,260,839,657,448,165,893,508,784,935,623,390,414,396,937,298,896,822,
221,452,130,813,383,553,010,290,441,879,470,258,496,580,335,779,395,969,641,
749,964,007,699,250,367,768,852,953,424,366,367,533,664,696,927,626,437,699,
497,776,047,120,521,268,097,747,117,673,609,278,795,479,174,424,132,060,698,
732,845,030,822,232,538,764,498,561,453,631,724,637,519,452,860,626,552,762,
990,570,827,905,734,496,032,298,093,109,162,742,725,884,120,314,605,555,566,
978,584,769,386,466,409,417,868,900,142,168,564,687,978,444,143,865,864,151,
316,757,859,940,089,689,882,609,807,327,917,578,784,724,804,394,717,747,190,
825,390,017,035,732,078,551,565,663,979,724,138,200,529,128,909,876,520,668,
049,116,424,976,835,418,373,491,513,599,479,478,193,419,597,316,941,712,395,
526,063,229,048,123,398,110,029,428,353,188,792,965,825,040,267,859,322,483,
399,034,876,388,343,723,517,281,168,920,822,591,453,223,176,843,724,653,717,
239,183,598,966,255,442,626,122,168,550,693,566,461,145,932,667,252,384,339,
286,773,176,075,058,370,829,248,671,774,283,847,176,494,587,680,459,449,834,
890,156,697,488,739,223,874,551,685,912,549,717,543,927,578,549,130,378,714,
809,090,480,285,295,266,555,059,527,267,319,509,659,283,271,415,823,357,205,
830,142,134,578,779,333,256,796,720,725,346,189,243,834,469,411,579,419,922,
131,087,701,729,231,487,640,927,663,670,849,896,382,829,801,516,206,693,891,
856,944,819,853,198,681,369,624,297,014,609,643,751,298,565,404,649,110,996,
341,391,612,045,090,377,567,297,252,477,240,739,113,773,011,985,486,181,862,
886,696,336,717,164,510,713,881,373,328,223,579,968,208,904,052,622,319,265,
565,618,839,305,408,807,035,904,416,409,763,011,050,526,744,487,580,342,494,
252,113,365,943,693,246,180,038,677,529,726,815,347,968,941,460,919,730,940,
248,127,423,229,849,172,024,698,904,721,707,173,432,469,492,778,509,221,261,
070,235,333,511,907,485,714,606,158,945,538,329,023,018,729,866,192,513,073,
306,380,696,774,569,169,809,763,416,745,569,424,436,299,943,870,443,338,695,
368,132,407,003,153,881,150,136,515,376,898,764,569,317,149,365,814,627,749,
928,054,860,983,351,680,208,871,295,151,453,785,735,859,284,739,600,736,382,
952,504,007,548,513,955,451,044,487,869,808,897,574,178,795,704,577,413,074,
649,611,075,595,552,161,519,221,525,979,082,773,967,996,302,862,286,739,785,
549,661,582,060,361,051,522,300,020,112,919,311,993,758,344,175,000,316,919,
934,425,696,877,763,114,539,489,538,335,673,024,180,876,103,067,340,042,257,
315,711,443,964,799,129,991,647,539,524,789,851,242,506,063,286,930,201,884,
668,856,174,928,251,050,001,485,952,230,943,546,946,674,252,717,783,772,481,
609,130,301,851,767,854,812,554,276,122,083,214,335,130,857,060,184,085,592,
474,048,396,216,876,520,842,341,711,584,367,315,930,804,204,095,502,062,478,
918,635,961,922,914,495,561,731,270,358,814,866,755,393,286,002,623,343,129,
682,170,937,890,195,317,392,706,843,212,049,463,695,245,726,047,682,467,364,
253,031,132,103,530,877,517,171,745,161,591,335,908,490,095,192,769,948,246,
713,563,696,674,705,243,609,799,182,568,166,449,668,555,687,193,046,401,750,
401,994,912,120,779,496,594,326,131,462,783,514,247,338,577,064,835,007,234,
891,761,046,267,203,870,595,537,153,689,330,916,193,217,212,635,754,235,621,
197,073,799,369,824,153,596,542,250,810,664,085,610,017,412,356,392,550,421,
622,416,533,140,787,802,407,124,213,713,248,676,376,202,569,590,360,662,658,
799,099,112,256,828,229,495,403,941,167,949,259,671,719,486,218,542,614,227,
404,573,958,032,790,158,682,148,811,826,338,386,137,600,136,019,336,776,159,
178,457,697,573,632,821,833,373,347,707,351,017,816,621,190,367,445,111,011,
696,377,132,870,285,173,535,121,413,135,104,955,118,285,592,811,942,946,442,
502,023,737,150,963,976,924,302,872,788,390,395,165,094,374,930,815,237,033,
161,018,534,676,419,231,282,602,584,384,464,159,075,100,814,002,703,369,200,
666,792,275,550,252,165,315,719,942,472,453,497,939,900,297,308,830,847,564,
154,163,224,290,173,180,231,177,726,499,045,683,627,774,944,209,649,569,843,
076,433,727,298,902,643,463,680,842,860,391,796,167,541,101,519,318,254,700,
725,697,492,122,482,906,987,561,508,650,867,292,006,141,498,221,643,841,677,
182,871,747,814,433,653,679,928,757,372,329,654,309,455,329,590,425,789,456,
558,382,214,725,006,646,005,505,171,760,314,569,323,249,398,855,275,863,873,
539,999,021,548,550,282,953,063,831,424,486,643,862,261,784,981,472,677,842,
876,809,616,580,769,401,802,583,255,924,908,840,574,895,387,634,243,054,576,
915,901,887,500,358,169,722,900,205,655,400,372,667,103,732,846,060,901,140,
083,388,077,526,364,205,045,744,184,223,662,062,539,560,906,531,163,918,021,
165,798,184,369,358,091,595,598,104,929,058,039,143,623,781,196,220,713,997,
966,196,864,882,869,364,944,378,205,020,446,819,097,892,860,672,614,940,044,
379,586,893,641,026,603,269,532,123,273,985,120,520,313,446,383,978,115,154,
770,751,715,258,854,537,348,799,175,341,250,188,823,840,958,543,392,141,603,
360,709,639,227,417,445,426,189,371,981,989,903,655,911,415,993,730,110,240,
510,632,647,784,882,191,268,670,313,649,298,392,904,921,075,328,741,227,123,
086,859,665,973,282,355,399,662,057,161,519,532,232,831,154,478,962,766,686,
561,544,057,368,876,087,129,914,374,885,158,887,239,188,513,724,107,379,841,
177,153,537,554,709,227,807,321,057,087,368,261,630,791,801,994,685,186,666,
479,851,667,284,403,679,704,717,082,734,921,413,103,497,544,322,951,064,379,
360,412,451,957,615,184,602,921,967,108,221,942,881,692,820,499,481,479,586,
509,636,920,712,072,460,178,426,164,540,336,320,211,938,539,618,475,010,812,
629,630,034,977,924,148,319,745,907,725,776,623,027,696,845,586,753,401,297,
516,750,289,760,567,530,316,653,178,573,889,984,564,428,124,547,194,100,336,
343,530,823,427,546,222,168,985,331,754,170,354,293,975,988,315,151,323,372,
275,918,568,305,911,318,791,623,538,838,213,083,004,256,320,565,625,358,219,
933,815,320,847,059,101,447,062,561,763,409,327,609,569,079,022,602,003,308,
794,643,932,162,935,300,335,934,653,887,359,164,414,282,697,959,049,968,485,
073,876,544,409,689,699,603,289,673,310,477,012,248,276,535,321,883,062,571,
846,722,449,841,654,581,649,472,117,958,126,022,816,698,167,011,630,275,125,
352,775,650,620,448,664,670,673,360,518,457,921,415,687,023,313,878,570,568,
948,424,279,786,965,612,163,068,394,286,872,101,546,216,781,740,797,799,454,
422,346,043,774,890,149,453,235,924,850,225,877,008,586,417,125,277,308,586,
946,249,462,443,960,632,038,868,368,294,010,492,502,705,006,558,809,961,586,
165,915,264,753,930,293,923,176,825,926,547,579,787,890,521,349,528,344,727,
833,905,101,173,713,204,042,944,401,311,822,945,524,876,004,046,247,089,784,
759,604,232,804,456,014,185,371,870,924,821,976,721,619,894,747,136,286,325,
690,963,812,765,233,836,236,322,948,110,347,518,656,897,076,702,298,795,318,
062,198,864,467,538,111,665,998,395,763,437,721,051,690,366,980,261,438,962,
479,225,824,581,083,154,759,913,381,399,654,619,514,022,361,426,691,535,892,
101,903,284,728,649,165,218,387,746,466,555,527,382,262,797,382,075,323,589,
636,459,455,224,798,364,122,401,814,298,473,772,570,094,360,766,619,753,954,
814,368,187,702,378,673,420,477,848,622,535,860,524,053,553,833,532,555,170,
615,028,514,889,605,366,273,148,019,502,910,417,696,978,400,429,742,036,291,
248,432,121,495,161,624,212,467,468,580,064,755,259,148,082,537,281,223,591,
726,869,368,125,558,002,733,446,982,433,113,527,004,955,655,799,358,452,464,
933,085,648,089,678,645,587,455,206,936,189,090,792,034,855,115,038,009,532,
313,694,552,704,833,613,101,230,833,659,679,926,211,931,263,820,943,964,842,
992,306,943,822,972,327,023,606,226,824,135,662,122,497,869,326,600,996,081,
587,248,151,778,600,523,575,719,705,680,595,650,675,574,687,685,247,455,724,
971,257,712,445,726,200,060,149,199,089,067,452,167,077,868,021,637,609,499,
364,194,006,934,309,003,686,350,828,927,942,113,243,430,206,308,166,826,687,
542,118,390,366,204,333,019,891,369,575,771,912,486,267,601,580,558,887,241,
685,670,552,859,364,974,222,210,081,412,067,446,907,709,652,366,953,885,484,
224,450,004,952,417,162,899,594,390,879,108,342,380,027,890,526,823,942,037,
555,913,495,632,928,858,131,175,572,785,620,788,596,537,547,043,822,492,321,
069,623,501,992,196,086,211,150,287,072,519,499,754,482,058,483,229,466,878,
441,936,979,615,979,137,433,374,967,590,091,346,821,250,507,654,559,974,846,
117,345,625,144,529,256,652,870,517,076,592,931,223,394,876,614,443,776,046,
592,305,034,740,271,586,394,753,906,411,780,552,758,023,660,893,672,138,648,
194,881,795,945,890,519,184,522,048,876,182,356,096,029,888,630,578,907,986,
159,689,221,062,951,296,201,318,906,827,644,200,900,763,008,532,716,530,520,
835,410,409,331,419,099,945,130,435,530,294,311,906,084,315,957,083,607,345,
721,758,707,804,871,462,832,865,009,585,179,239,999,641,566,007,896,363,916,
533,730,531,419,987,977,559,441,758,427,967,248,590,330,944,639,968,710,350,
418,847,730,398,154,225,883,954,657,184,021,384,595,237,915,795,397,087,121,
664,237,097,224,201,574,653,986,742,302,705,497,954,094,721,453,638,121,661,
605,703,497,048,085,432,856,209,722,999,244,902,278,923,906,258,112,831,375,
574,402,230,930,113,726,548,486,967,923,599,105,524,675,113,147,249,837,233,
841,377,044,537,559,742,888,271,314,153,888,457,047,497,517,622,787,671,655,
349,618,934,734,271,163,245,809,983,207,079,220,152,987,428,669,583,761,836,
430,926,399,937,697,274,993,507,103,688,210,556,379,840,733,395,502,314,724,
634,930,640,006,498,713,887,713,598,964,000,356,429,923,942,135,328,536,871,
754,895,913,433,893,169,043,988,706,254,983,770,980,512,314,598,499,559,661,
660,021,994,683,151,392,719,732,035,533,515,817,462,793,592,382,822,300,493,
379,790,608,902,560,185,552,571,282,920,482,067,731,051,195,574,592,678,547,
771,456,019,633,726,588,036,952,661,115,974,001,031,216,749,599,989,196,510,
998,108,210,086,512,665,852,387,635,902,315,321,226,133,511,793,147,816,487,
937,102,953,281,619,265,820,720,969,278,867,131,291,809,759,312,131,597,980,
460,566,199,548,010,397,249,725,722,071,414,777,051,666,376,025,703,646,116,
809,550,676,921,613,130,393,244,384,235,506,393,701,813,171,096,810,531,189,
353,307,729,751,478,464,160,647,181,799,854,607,273,113,874,278,187,047,227,
703,736,885,026,301,212,754,591,390,552,150,667,598,719,110,615,676,809,094,
480,912,175,182,833,710,571,263,850,024,623,892,670,550,849,410,952,430,918,
484,428,047,391,517,718,840,210,865,863,507,539,819,546,117,661,586,964,816,
936,875,058,801,908,345,060,466,716,616,052,730,597,605,094,868,727,190,925,
833,564,012,837,616,956,052,941,352,710,242,129,515,568,011,577,572,228,376,
856,453,457,952,387,156,262,578,651,818,577,412,571,034,590,199,882,146,690,
476,643,659,034,361,887,464,632,325,291,709,409,454,502,429,977,235,144,165,
861,037,473,320,179,391,407,175,958,517,027,554,851,665,202,515,832,694,938,
684,887,063,464,596,392,916,899,744,005,249,888,938,966,305,191,025,929,440,
354,719,900,330,446,944,021,483,170,258,073,266,568,136,054,999,660,604,715,
596,274,319,934,282,675,891,276,577,218,537,388,956,334,195,684,358,524,437,
856,657,441,432,140,295,052,718,734,242,574,946,617,460,320,495,887,989,255,
556,654,484,864,133,071,437,869,192,219,927,103,402,045,592,019,960,791,175,
426,468,698,327,811,329,547,210,953,602,284,456,528,430,014,780,850,830,225,
794,486,099,410,281,704,326,492,070,926,414,262,386,027,079,374,864,597,117,
609,106,646,753,341,242,469,729,768,124,304,841,995,564,637,879,175,808,363,
794,493,069,337,913,954,121,096,652,045,118,006,949,246,144,246,736,069,237,
028,329,644,656,791,433,121,709,095,962,825,417,872,923,396,433,815,523,754,
181,014,544,224,099,066,806,438,929,442,454,644,748,126,789,419,080,322,066,
607,943,828,014,604,169,304,235,884,645,162,077,586,088,531,354,547,541,267,
732,153,812,510,187,494,995,758,547,413,722,557,098,569,509,546,272,754,871,
470,492,810,657,153,453,423,993,495,687,754,298,515,831,880,496,198,622,435,
443,660,924,972,872,083,598,201,014,530,704,963,108,901,069,320,898,037,009,
899,929,952,020,081,165,536,454,966,917,371,925,983,964,746,930,086,824,716,
470,121,072,017,087,635,244,956,152,750,249,350,450,482,928,591,559,490,247,
757,575,310,478,399,447,661,611,804,711,663,300,248,222,259,513,380,758,516,
469,085,075,525,378,441,482,819,186,318,442,737,793,120,445,954,795,407,578,
362,836,415,060,079,050,198,858,488,853,365,471,938,662,330,107,235,766,410,
323,832,502,725,297,658,994,211,978,982,386,936,020,638,722,454,124,763,890,
292,969,466,524,179,986,903,192,618,147,076,303,664,742,012,719,125,592,388,
049,416,899,387,560,537,438,783,345,906,221,524,234,970,934,457,960,767,831,
763,277,074,490,010,322,018,334,366,426,311,054,237,785,882,834,100,259,769,
891,798,171,566,918,576,378,520,758,708,884,212,405,330,976,588,777,566,382,
946,253,905,487,046,082,372,343,294,691,429,661,267,399,623,216,374,412,409,
991,512,572,006,488,230,591,553,278,536,813,321,766,774,694,655,073,329,757,
072,616,889,627,958,553,091,771,482,760,656,651,678,115,288,047,116,924,641,
597,631,365,220,705,992,342,860,573,743,980,629,461,435,473,131,810,050,228,
756,325,173,571,098,856,586,956,486,834,840,321,833,555,257,710,539,819,898,
952,076,241,680,472,928,891,066,300,764,883,989,059,515,845,367,149,348,339,
208,722,047,146,918,071,903,641,744,322,087,471,775,448,409,804,761,541,449,
607,787,834,542,871,441,438,722,354,571,425,852,888,851,809,640,082,959,970,
457,263,855,931,220,992,159,364,223,694,180,858,831,506,108,269,027,821,472,
652,606,206,519,547,445,022,864,042,861,925,165,672,932,777,069,541,403,045,
292,887,042,707,777,170,280,070,155,017,583,273,201,315,188,328,976,964,573,
498,028,801,988,485,720,012,346,787,146,457,563,307,161,491,691,116,337,647,
565,293,807,358,190,694,200,146,661,395,089,545,185,545,766,122,029,415,103,
883,056,879,442,624,125,155,410,331,763,430,466,813,831,737,255,244,387,825,
082,406,626,768,761,599,797,482,542,873,692,453,096,929,063,659,786,637,986,
386,210,803,605,312,601,378,572,436,893,938,851,577,323,596,409,630,580,776,
804,882,717,629,712,366,765,324,871,687,816,939,744,717,253,232,083,426,019,
034,699,581,341,508,691,480,478,151,566,555,705,919,694,992,744,556,398,585,
208,878,272,359,532,439,376,605,624,117,431,110,071,507,467,767,385,898,214,
646,425,380,317,417,780,449,789,028,197,513,410,334,121,700,994,712,718,939,
180,075,411,004,689,567,242,439,114,706,126,919,151,872,913,205,495,569,537,
236,864,467,002,386,935,982,534,876,133,710,450,026,164,590,517,256,343,147,
593,735,856,373,758,834,603,856,384,563,099,652,733,070,348,146,017,335,728,
423,874,206,083,746,748,268,110,203,087,998,262,733,910,747,020,890,107,431,
429,246,175,376,602,444,986,539,572,604,492,807,090,446,244,309,319,962,237,
126,778,478,840,204,173,107,967,126,908,727,223,712,409,450,663,455,114,846,
997,337,196,147,549,973,309,476,590,942,948,313,824,515,165,929,597,560,073,
009,290,590,375,068,274,859,278,284,164,678,999,257,951,067,182,728,921,738,
136,102,699,425,568,734,906,215,185,006,326,235,677,525,850,438,646,302,672,
660,962,348,109,014,775,013,453,784,510,311,136,814,727,662,984,726,428,847,
032,289,832,723,316,254,706,892,700,364,152,308,159,636,175,919,293,021,134,
763,111,994,225,095,642,323,820,577,482,042,020,871,670,549,367,333,523,963,
582,826,043,960,007,535,193,949,158,158,823,790,116,265,023,516,852,950,564,
865,408,934,839,182,856,212,775,469,168,070,901,550,601,985,533,712,468,395,
711,686,981,711,053,489,385,961,864,478,486,364,768,108,274,353,602,700,736,
261,712,347,730,149,232,985,102,435,569,496,766,246,507,603,396,704,409,303,
992,562,978,499,908,993,342,397,500,198,213,615,904,199,949,174,483,635,620,
680,384,515,232,713,935,995,060,965,163,955,987,201,811,120,347,251,038,946,
891,488,184,071,211,535,054,374,018,638,641,995,286,618,666,155,400,593,846,
653,775,107,205,868,548,311,141,074,540,654,305,134,474,276,353,983,306,490,
363,483,815,291,522,384,438,877,546,699,915,788,694,798,902,241,223,691,391,
115,110,513,001,721,230,940,957,669,027,504,984,466,595,696,920,571,533,779,
067,230,042,068,879,859,604,934,579,924,423,929,484,748,596,578,385,817,570,
607,628,125,085,753,947,057,500,537,302,879,139,358,073,641,926,623,161,696,
539,937,037,778,919,434,405,727,538,584,425,562,697,107,100,975,820,806,505,
834,691,610,687,963,537,096,255,126,293,584,299,673,798,884,148,034,578,241,
293,872,700,503,752,164,847,957,383,502,440,934,144,790,792,044,855,949,196,
829,507,525,988,515,025,009,164,961,304,776,199,185,988,196,348,718,900,819,
248,798,807,465,410,517,995,770,528,198,377,872,391,813,704,413,736,438,024,
211,122,195,444,367,339,857,569,127,571,518,002,037,013,210,948,123,666,649,
302,812,891,231,887,559,213,988,490,111,002,868,070,450,525,083,949,433,665,
266,839,771,697,415,855,842,753,996,017,933,652,354,622,784,344,951,961,827,
993,118,308,275,838,244,841,076,227,420,413,749,092,021,068,212,108,062,905,
236,546,632,974,111,308,951,687,132,223,100,635,845,552,910,569,623,181,448,
042,555,259,621,127,014,646,386,463,829,304,669,965,445,688,246,233,479,883,
144,023,055,615,471,415,445,011,604,778,267,531,633,429,404,884,980,913,561,
781,065,434,637,831,755,017,526,855,979,596,677,389,908,593,425,083,261,120,
837,825,839,150,164,394,260,891,434,474,277,343,593,673,097,720,731,140,050,
355,932,153,214,857,142,972,005,819,513,357,267,456,184,808,610,058,019,425,
298,748,095,037,175,289,954,856,390,366,201,059,747,708,294,675,954,990,039,
809,305,221,746,936,913,611,032,381,326,697,228,544,155,697,639,531,528,995,
747,333,795,033,704,679,100,960,397,260,447,764,802,166,349,815,756,785,775,
964,517,749,567,800,413,011,746,663,294,924,506,688,099,590,889,576,932,029,
308,544,517,841,048,345,990,201,718,137,462,921,055,093,259,249,316,546,180,
035,267,271,844,258,211,072,542,771,385,211,391,709,221,892,314,859,709,182,
413,180,166,405,863,586,806,756,695,121,274,453,857,519,877,472,749,929,375,
678,571,391,535,299,435,313,782,837,878,592,946,257,275,486,466,459,214,596,
455,729,969,633,042,252,886,192,010,159,817,883,004,680,416,161,790,094,878,
208,240,674,290,210,489,191,760,914,418,751,632,223,362,998,274,966,289,846,
444,030,729,748,500,214,584,434,807,906,198,911,976,191,606,496,351,005,688,
176,283,596,662,836,030,275,794,729,688,676,829,292,495,437,825,877,844,271,
803,981,452,135,805,333,670,273,298,735,872,148,249,872,741,126,085,925,733,
722,139,108,789,490,643,155,541,807,188,314,661,934,821,902,203,614,403,707,
372,526,280,329,690,477,168,583,582,847,809,477,103,574,165,360,351,806,585,
143,579,408,080,714,870,222,263,931,586,418,325,450,882,031,534,237,117,017,
069,686,654,059,805,863,011,594,848,625,627,258,260,404,952,866,992,654,490,
495,101,182,042,305,497,238,607,296,560,925,047,205,892,761,050,589,728,247,
248,573,426,975,087,135,919,619,637,572,079,501,066,903,955,174,343,977,356,
778,104,241,965,082,461,694,182,664,367,895,822,553,585,421,903,593,476,228,
626,228,705,995,063,076,011,733,043,548,764,927,168,863,192,917,189,247,536,
677,905,200,344,641,345,136,246,834,290,698,004,314,974,822,679,492,112,855,
869,364,789,729,838,371,695,376,308,438,761,996,775,384,483,448,982,092,773,
444,871,454,924,190,973,377,772,563,213,426,241,818,918,225,715,746,400,119,
221,691,414,534,887,481,717,115,312,111,849,786,810,601,956,135,743,079,050,
427,401,565,634,850,898,408,131,692,838,584,479,269,353,360,781,873,841,232,
783,667,927,923,543,648,304,102,982,140,832,156,242,891,963,979,451,898,886,
150,984,474,254,352,971,689,043,636,425,755,603,169,732,606,229,341,555,099,
106,564,829,020,245,373,628,206,811,627,303,024,783,295,387,224,858,769,778,
601,975,841,683,069,272,323,849,906,198,993,538,184,121,092,071,971,162,703,
667,303,329,770,563,801,932,158,226,737,481,114,424,781,938,172,013,940,299,
025,488,468,618,916,699,691,077,963,913,773,223,216,754,969,510,972,168,546,
004,746,138,899,027,820,285,733,609,148,207,858,630,228,557,361,749,093,800,
338,760,074,031,349,275,475,074,501,557,628,835,510,190,130,779,673,836,064,
995,823,752,501,883,245,170,321,889,392,389,851,336,533,652,384,471,043,140,
750,637,482,468,039,239,222,538,615,053,666,616,534,274,051,718,029,139,051,
623,255,623,620,582,395,338,474,917,620,011,180,166,598,426,912,926,025,281,
318,516,002,087,275,170,151,523,408,674,501,327,464,915,754,274,295,706,232,
953,251,967,113,536,154,619,082,898,448,038,218,549,071,194,667,989,595,377,
182,527,844,882,506,521,399,897,635,012,353,801,967,304,025,289,229,631,465,
469,719,521,444,021,143,158,447,611,627,925,905,892,487,061,028,640,801,899,
484,065,077,615,312,914,001,805,356,016,376,739,588,284,521,978,485,188,311,
183,804,787,534,722,911,721,062,654,158,513,265,507,146,918,420,212,641,799,
273,987,148,636,517,742,452,444,645,899,744,498,994,939,948,814,290,825,671,
475,828,435,084,629,230,823,986,368,793,164,784,879,599,743,243,642,790,294,
378,231,561,607,006,435,955,613,396,275,963,788,473,964,021,142,049,409,410,
536,882,028,306,171,827,690,454,897,004,126,820,390,118,712,121,244,675,710,
732,211,236,555,408,703,689,165,079,743,461,555,412,669,692,469,573,715,646,
243,101,500,653,180,069,130,901,320,688,537,309,722,382,138,270,861,934,410,
827,900,112,631,542,789,571,351,984,190,686,345,514,003,480,828,651,150,139,
239,289,851,953,747,214,836,606,334,669,774,380,545,152,085,607,383,517,115,
847,196,990,350,585,126,400,706,365,878,970,378,127,814,611,438,965,652,488,
317,441,912,387,792,768,640,842,620,414,488,298,292,095,389,610,561,483,015,
702,227,721,369,671,975,785,736,946,970,641,924,367,237,517,693,269,744,782,
635,102,329,221,864,464,233,964,015,518,126,557,647,238,701,628,376,141,406,
339,635,274,244,406,880,916,060,854,449,488,268,602,864,752,312,268,349,465,
578,301,648,875,239,188,165,669,536,094,689,188,910,103,396,673,820,866,688,
898,257,335,918,116,102,453,634,544,304,293,825,727,626,561,541,049,757,722,
708,314,779,044,466,115,568,831,962,377,192,299,172,526,736,894,943,489,849,
564,333,035,782,659,817,655,928,194,333,682,082,921,525,458,966,246,398,892,
497,317,216,024,311,629,470,123,099,263,998,554,782,441,256,727,409,831,619,
174,126,408,736,432,553,211,349,555,340,322,626,952,384,304,880,868,774,468,
046,631,684,846,422,077,987,462,515,538,801,944,623,460,519,062,254,466,345,
990,927,693,527,289,456,887,335,307,381,359,099,364,411,580,444,552,022,141,
783,666,932,017,958,854,979,356,271,951,760,446,400,692,164,968,684,182,317,
591,572,517,251,483,585,438,994,311,702,391,196,018,728,100,600,252,440,712,
635,585,108,297,463,037,133,804,281,966,046,943,141,689,183,057,212,755,654,
943,688,126,098,425,119,678,110,834,691,192,862,467,755,569,215,081,965,853,
160,159,185,332,902,247,020,122,701,122,116,757,020,892,025,486,029,523,826,
459,462,700,018,589,975,716,565,178,420,663,215,295,241,297,917,777,876,328,
481,175,249,577,193,762,745,422,823,437,703,705,070,770,796,466,096,984,142,
991,462,509,896,502,586,333,421,993,908,846,040,092,010,773,550,608,616,181,
369,828,886,603,507,923,650,284,445,672,494,090,841,284,853,283,258,466,130,
928,271,647,238,255,545,329,645,445,090,230,927,532,640,879,333,996,035,581,
296,594,117,918,557,589,772,667,629,895,439,760,102,370,093,783,831,114,328,
009,540,517,948,527,701,243,402,109,619,821,912,501,737,100,584,057,085,103,
794,910,718,341,818,128,971,119,635,572,600,834,985,954,165,495,410,216,579,
905,342,047,537,684,729,682,568,101,773,998,243,709,635,899,314,096,241,943,
485,905,291,257,732,916,257,410,774,157,571,552,235,105,349,233,268,087,182,
758,309,802,944,683,694,753,320,483,862,475,617,631,659,330,011,611,592,037,
415,399,654,328,243,732,097,001,252,441,452,109,778,581,017,357,346,364,358,
474,501,920,164,897,852,178,119,062,498,936,627,651,767,065,307,818,912,857,
041,893,676,624,124,560,715,911,640,409,069,347,801,768,689,286,241,965,444,
362,359,078,459,512,576,264,947,800,266,346,185,916,439,290,011,492,362,438,
216,084,009,604,138,195,433,911,865,530,113,257,273,209,349,180,200,987,461,
301,638,087,979,844,968,689,957,568,602,196,980,123,985,280,576,273,144,139,
406,130,813,519,145,548,389,637,540,453,290,154,589,987,882,128,098,952,640,
640,162,367,598,644,399,223,379,694,533,627,391,499,653,775,942,794,961,103,
741,441,994,880,132,438,636,703,621,613,598,342,944,910,516,088,861,181,838,
918,747,058,863,768,824,793,597,544,091,570,486,966,758,025,994,271,297,580,
085,234,659,241,651,369,403,312,048,015,069,271,702,671,230,139,196,027,714,
022,753,417,997,019,585,722,853,689,305,071,310,379,931,590,865,163,647,355,
803,527,547,239,764,453,661,583,935,671,555,491,933,398,192,729,718,477,696,
704,488,534,225,673,694,083,826,554,431,977,096,126,661,655,446,648,653,299,
607,245,307,634,408,158,933,902,407,598,707,389,733,637,110,714,918,471,241,
932,435,353,591,450,848,405,525,703,271,454,724,464,789,605,984,450,277,045,
290,993,138,764,509,652,395,648,264,493,062,751,479,652,523,882,436,737,713,
976,007,468,105,323,326,617,979,857,628,025,743,672,398,885,597,176,862,282,
933,397,954,341,349,783,952,751,895,616,314,351,509,786,845,702,475,855,469,
046,276,102,330,999,858,049,961,082,352,191,573,490,438,865,570,233,009,195,
985,643,238,338,259,938,666,145,137,591,946,853,173,788,198,209,965,115,408,
507,437,162,353,690,365,900,347,518,119,992,121,401,412,564,479,839,676,811,
010,002,705,858,494,434,021,549,678,787,237,789,433,213,495,787,975,806,424,
261,054,667,341,622,389,041,467,852,304,101,501,448,849,222,503,764,279,311,
984,869,323,699,334,362,166,307,841,455,921,686,919,377,554,661,358,988,944,
718,539,073,892,597,767,053,544,382,423,664,995,963,667,036,606,680,676,455,
867,493,747,159,223,687,909,668,560,122,801,413,771,004,355,704,838,048,706,
157,087,871,372,947,266,908,584,617,455,125,696,917,079,645,138,032,957,479,
806,508,662,913,706,150,226,499,488,785,559,880,684,744,342,857,931,128,787,
594,163,820,392,929,006,727,329,184,881,586,027,652,503,618,146,663,988,723,
185,557,603,099,300,618,969,949,475,559,797,326,438,658,132,391,064,885,025,
109,282,107,058,871,555,058,839,902,659,135,941,788,353,456,575,368,525,532,
375,732,491,446,431,915,594,226,615,192,948,446,499,364,603,367,050,605,911,
492,022,172,309,343,349,195,155,952,209,391,212,716,855,336,946,928,408,089,
036,995,783,087,583,173,638,902,081,902,180,189,721,897,965,759,598,417,672,
119,389,711,910,733,881,521,090,899,078,424,266,013,144,394,120,367,614,986,
815,251,652,250,672,299,056,607,143,309,748,237,276,069,583,023,416,060,365,
804,349,769,799,484,500,265,537,216,217,918,123,203,960,970,977,354,216,608,
620,832,511,644,419,726,319,991,864,601,567,378,724,318,534,798,254,167,450,
555,647,407,551,773,928,539,390,569,685,721,455,244,103,893,918,278,934,634,
511,671,727,618,974,436,703,687,373,161,496,793,850,821,271,264,852,012,198,
501,136,153,146,300,203,890,828,162,287,736,315,129,539,310,910,606,899,856,
309,301,923,090,320,954,152,418,074,262,656,183,096,846,380,600,049,702,482,
750,216,544,526,525,854,846,009,829,266,048,356,060,108,596,552,710,404,178,
317,653,231,522,310,491,393,186,567,393,674,647,027,437,457,065,418,732,457,
339,924,425,422,515,288,466,666,282,637,907,767,081,548,971,885,856,042,337,
022,036,611,160,789,299,585,711,676,162,805,670,641,364,987,002,105,145,985,
413,797,382,170,078,445,362,136,493,522,969,436,558,045,523,452,600,872,393,
621,485,899,855,706,526,559,151,472,255,968,162,821,989,343,540,142,190,731,
298,704,256,829,475,523,217,457,381,749,288,198,856,502,925,984,982,652,981,
334,853,913,421,832,107,362,269,828,461,144,313,797,146,557,673,778,876,529,
550,534,793,630,684,988,990,925,600,558,982,402,383,851,658,092,963,978,187,
285,645,895,380,183,672,168,498,564,414,345,016,383,092,300,791,818,478,763,
453,047,906,814,033,199,611,008,328,617,539,164,552,065,890,308,215,288,018,
931,313,664,005,373,006,028,507,416,783,263,757,155,854,608,125,550,802,434,
854,372,020,490,316,139,323,921,787,795,818,851,569,256,755,024,378,146,761,
466,722,296,148,424,555,409,585,298,979,956,579,165,418,968,600,626,514,139,
944,024,711,921,757,156,515,666,416,469,070,155,278,862,175,570,033,196,823,
840,010,448,819,982,106,785,809,984,356,423,283,411,791,010,027,569,455,914,
076,271,952,821,899,580,069,513,180,513,535,631,593,873,587,214,022,825,818,
882,313,692,318,380,224,523,331,595,153,960,538,884,885,298,288,725,759,974,
513,823,014,753,536,744,277,954,566,410,952,780,906,106,345,487,044,001,913,
557,578,392,223,676,336,375,810,197,252,890,519,528,830,453,626,211,966,818,
407,599,851,058,505,473,398,061,820,463,315,435,537,386,064,220,639,945,571,
679,168,657,606,206,455,746,652,797,304,780,032,223,814,428,050,288,895,215,
939,145,217,359,480,176,165,498,728,932,034,968,657,244,863,286,042,447,861,
971,963,212,475,336,478,266,124,864,694,125,093,903,948,601,793,611,612,210,
913,094,701,642,213,185,926,731,585,523,661,745,364,278,243,289,415,058,103,
850,616,848,703,160,925,852,344,903,610,000,713,643,757,561,064,776,666,992,
283,138,648,628,699,330,100,909,702,538,243,365,168,057,563,560,978,422,478,
108,175,712,845,188,072,582,148,788,859,575,148,137,930,154,577,082,758,835,
454,708,432,493,924,226,664,118,350,652,129,315,472,281,135,092,585,136,367,
946,336,524,546,823,292,821,134,610,485,435,474,913,220,568,750,463,652,701,
700,389,873,894,212,074,739,276,073,258,681,672,373,691,601,388,720,690,633,
920,283,159,495,533,980,174,736,607,170,252,518,667,018,502,267,102,601,499,
114,993,653,971,184,029,683,751,775,193,612,481,121,731,030,652,353,154,286,
617,304,445,660,362,107,664,349,672,902,986,334,651,037,317,258,906,650,501,
304,725,754,425,531,578,472,376,985,488,489,912,983,038,647,318,295,255,008,
027,704,864,396,445,406,965,663,571,467,707,717,140,757,903,075,183,324,476,
560,299,869,348,653,949,174,491,140,777,389,998,084,726,015,826,819,408,974,
938,127,565,622,298,215,771,185,466,580,388,333,450,430,170,207,175,989,002,
057,508,785,845,092,090,919,672,256,217,008,462,352,390,479,683,393,871,341,
608,496,027,299,894,180,428,670,237,829,911,001,962,944,612,598,287,170,925,
647,847,504,207,559,021,896,817,978,629,691,204,171,932,597,714,750,265,664,
907,401,744,636,795,596,283,680,853,844,915,269,552,155,084,184,850,467,814,
055,430,177,164,592,176,131,404,771,387,936,382,111,935,846,170,803,561,376,
611,875,242,816,076,176,768,409,395,807,176,948,011,669,702,018,864,814,270,
555,944,617,689,868,586,577,238,517,283,876,436,072,089,731,080,168,850,300,
428,566,039,507,135,141,554,415,542,207,977,550,440,110,712,729,785,215,276,
137,353,924,445,614,800,983,786,923,021,993,631,424,370,844,598,062,264,319,
744,003,470,592,690,380,314,293,633,246,625,527,828,147,383,498,027,598,441,
506,875,471,237,450,660,910,193,024,396,964,937,285,703,927,075,494,476,983,
499,106,592,741,708,855,417,341,519,962,568,350,458,142,866,349,788,602,333,
196,114,943,948,676,672,288,691,618,269,136,092,670,612,756,539,904,657,315,
772,189,187,442,123,858,010,767,098,552,375,292,446,026,814,140,984,209,742,
409,243,017,240,689,039,418,881,644,848,915,513,153,075,492,784,267,313,786,
906,198,635,777,439,205,526,845,378,429,833,270,051,661,369,606,407,053,565,
266,741,983,589,893,880,423,299,988,397,838,483,854,170,493,041,383,830,128,
909,112,517,209,937,436,012,173,917,007,657,206,629,303,247,519,050,661,134,
123,322,377,279,131,629,460,834,698,948,964,124,561,206,473,708,239,151,664,
665,477,874,189,017,710,871,881,114,215,179,226,296,139,223,066,956,598,366,
006,484,153,588,764,810,126,874,699,560,456,977,266,222,032,395,055,820,528,
234,101,588,815,579,832,984,199,674,795,016,968,864,393,367,424,260,806,419,
889,063,624,222,209,572,802,001,256,626,926,352,799,429,956,962,084,962,827,
808,044,271,937,776,341,124,797,080,546,168,960,195,778,238,216,650,210,566,
895,428,596,444,383,393,828,430,590,707,420,758,191,820,412,494,010,703,434,
575,163,320,932,273,359,455,740,187,121,950,397,330,492,058,863,628,210,679,
691,601,599,361,363,807,584,331,448,425,321,038,233,865,133,510,516,687,806,
023,856,738,468,785,307,121,123,001,740,006,723,630,554,334,456,177,478,491,
567,259,073,739,941,768,261,109,742,219,678,024,393,304,827,826,370,087,614,
053,975,372,363,760,145,624,072,377,631,495,689,747,849,725,548,827,111,739,
644,026,438,888,230,813,205,887,704,449,927,080,889,770,508,924,771,387,800,
221,777,122,183,499,897,990,333,576,639,863,964,662,574,264,510,180,504,506,
347,084,674,116,950,608,432,443,083,369,069,428,941,521,657,490,887,396,305,
429,878,212,104,685,704,089,930,811,803,222,424,492,569,122,410,992,494,980,
300,091,256,564,370,276,315,235,210,990,731,347,984,922,657,077,143,659,351,
872,060,526,672,963,474,646,855,990,451,208,593,406,404,039,677,696,399,719,
326,760,358,468,143,195,582,540,811,595,922,161,649,219,347,801,259,132,615,
762,256,506,919,693,452,013,193,423,553,229,099,490,803,457,064,132,734,174,
270,397,093,438,350,617,049,485,013,367,768,835,142,141,386,318,592,653,580,
767,657,114,745,167,218,465,602,510,434,586,039,958,181,778,430,357,826,579,
962,885,504,374,401,281,906,821,229,197,103,211,256,914,372,011,404,047,775,
315,142,108,727,600,543,116,739,430,031,486,973,231,455,531,687,514,334,396,
481,993,553,783,064,332,425,150,467,485,600,963,218,038,043,773,480,853,011,
895,194,855,812,308,011,692,011,677,025,720,492,576,120,003,218,011,433,681,
945,719,946,730,522,118,655,555,920,012,194,588,222,719,343,254,344,736,657,
557,883,539,984,028,054,973,112,927,508,339,183,190,736,565,553,754,868,964,
415,037,144,192,611,360,583,533,959,341,274,782,381,444,111,335,966,859,891,
222,962,473,150,111,970,044,073,073,068,592,821,724,745,879,494,833,817,482,
722,520,418,815,462,004,779,287,803,527,776,252,177,881,466,089,909,182,567,
810,787,719,218,345,275,324,071,243,226,219,645,249,921,716,894,521,935,801,
610,804,793,564,519,192,657,952,520,354,113,655,858,695,106,527,110,069,276,
857,209,104,279,476,837,354,344,887,536,347,386,091,992,773,282,371,874,742,
213,808,688,711,211,387,023,560,914,788,286,978,197,192,555,640,709,970,829,
814,217,839,097,609,165,556,365,501,600,578,275,977,361,831,484,672,169,629,
049,964,927,073,241,829,797,590,862,870,226,393,257,359,726,265,406,120,718,
243,911,848,531,005,524,940,773,414,534,790,133,204,727,926,948,086,685,629,
489,671,991,593,459,321,547,178,867,293,824,318,326,582,719,859,306,857,639,
357,708,617,357,176,864,695,639,749,073,866,546,736,442,151,958,519,431,833,
337,540,949,876,208,264,027,706,953,871,509,845,033,979,511,463,435,081,035,
994,956,893,339,174,378,883,289,782,635,779,329,458,713,766,977,604,138,557,
962,617,886,175,541,188,615,993,784,065,231,281,551,643,334,312,021,180,627,
031,485,869,247,947,995,167,021,303,839,918,390,400,363,191,648,339,993,721,
711,584,004,773,285,196,337,257,671,064,959,568,197,547,269,009,523,397,566,
808,019,337,011,178,965,631,443,251,139,769,350,090,492,340,552,860,546,007,
084,173,266,121,526,210,850,384,786,280,157,724,898,029,740,292,824,543,391,
898,163,489,111,222,836,190,851,878,030,596,506,406,698,472,534,137,939,866,
249,161,222,410,142,776,654,275,809,335,555,905,535,730,477,556,040,179,955,
525,598,038,568,673,156,212,514,049,391,343,363,211,532,890,190,229,214,022,
811,377,062,537,250,122,683,746,475,248,834,653,235,312,828,409,729,434,356,
753,970,766,494,225,503,849,794,819,950,156,958,471,407,558,571,589,209,711,
797,020,704,780,520,793,217,380,535,083,705,699,482,707,152,315,468,105,024,
747,599,102,821,113,155,460,715,906,448,237,995,012,894,162,900,608,285,796,
775,245,537,019,380,058,373,342,562,943,918,183,951,598,204,008,691,981,866,
772,968,110,053,680,075,410,901,385,275,071,482,198,461,681,418,782,447,347,
896,397,325,843,684,787,311,999,569,290,244,630,248,259,937,415,258,343,836,
649,104,593,685,792,077,986,009,232,229,446,887,501,609,863,772,913,364,405,
204,894,335,174,466,634,491,674,478,014,130,176,608,056,723,485,631,276,091,
138,261,295,818,826,971,885,585,743,121,298,831,390,181,579,055,280,204,174,
320,943,789,992,228,780,476,136,265,851,995,949,749,435,788,220,407,285,162,
359,960,339,015,276,968,925,525,486,054,707,727,874,556,749,008,840,732,921,
305,120,609,959,292,988,459,925,273,969,151,714,964,527,197,711,600,128,178,
911,102,753,657,989,035,144,432,694,419,594,539,433,659,643,681,985,456,051,
252,127,468,376,816,414,002,423,039,166,522,510,850,102,975,421,690,703,685,
958,500,792,203,654,493,061,225,694,176,644,574,521,691,507,161,330,566,487,
524,396,028,386,739,794,378,538,067,243,614,478,971,525,986,131,409,928,943,
253,565,750,023,491,528,882,589,727,571,664,105,625,550,754,609,734,888,343,
249,168,445,935,228,212,735,825,190,021,290,898,861,874,947,844,939,822,535,
214,795,057,356,884,233,339,496,595,649,236,821,849,380,579,641,821,693,574,
445,063,734,075,125,672,783,510,961,572,231,824,047,486,522,679,535,714,565,
164,759,008,085,815,422,818,209,004,775,475,152,809,400,570,632,232,402,748,
389,986,669,187,267,098,595,393,273,643,176,660,533,805,698,612,791,341,385,
017,367,327,549,983,720,678,811,072,200,607,734,406,702,758,211,531,208,120,
565,200,799,176,505,791,179,409,531,592,152,587,318,622,610,733,651,983,905,
462,773,739,404,394,364,155,969,426,952,075,670,122,109,820,832,989,885,506,
121,524,866,745,577,418,852,022,188,117,791,174,144,048,603,374,846,847,485,
281,150,376,297,010,757,283,050,694,061,027,710,326,176,368,861,093,897,294,
674,313,125,789,291,832,760,283,251,322,427,268,431,557,703,948,876,662,846,
857,379,174,855,063,339,868,647,560,457,152,164,468,299,250,935,316,911,665,
529,626,783,717,817,390,851,918,487,292,400,842,898,120,844,875,503,743,910,
637,374,984,342,742,264,600,881,765,312,541,620,801,803,399,630,353,984,505,
731,998,628,191,725,510,898,388,945,798,806,448,247,982,442,415,117,307,368,
866,386,488,394,133,901,507,815,115,714,112,534,873,098,174,468,410,247,217,
731,921,750,029,802,904,174,440,689,324,706,927,382,108,539,985,073,595,324,
219,508,960,818,629,815,085,196,257,131,959,132,261,759,609,621,311,574,654,
819,320,506,233,272,030,608,464,282,234,614,681,483,763,778,485,526,069,634,
014,874,602,708,458,829,656,938,853,455,056,884,911,866,206,002,959,780,720,
319,028,808,615,468,912,758,899,542,166,569,547,795,010,011,980,261,235,608,
669,771,789,887,561,279,950,688,810,910,760,314,594,454,713,740,932,329,870,
568,412,994,133,966,724,468,010,784,118,230,767,222,456,577,895,247,706,451,
068,589,445,583,522,535,103,590,232,269,782,410,676,274,829,166,223,484,189,
931,238,574,538,479,582,166,826,746,765,584,793,743,218,947,301,420,467,784,
880,513,886,094,747,195,406,342,078,530,856,181,878,140,185,781,134,045,981,
342,488,672,575,828,490,552,282,260,302,425,988,145,808,789,761,317,902,491,
800,149,917,967,159,161,478,615,525,547,462,754,202,086,603,974,090,927,265,
266,717,740,648,276,530,963,473,153,974,799,831,455,023,886,155,677,629,057,
394,219,413,181,830,062,828,953,187,092,065,049,655,639,859,737,716,457,970,
587,039,337,315,487,335,351,497,310,100,684,241,060,027,481,712,230,252,914,
354,905,524,475,841,630,055,458,387,290,214,110,345,576,052,809,392,377,150,
751,682,919,827,343,319,940,473,128,781,387,054,945,791,571,426,216,035,217,
006,885,275,105,989,441,475,124,653,442,777,519,643,640,699,998,360,927,982,
219,456,388,991,624,817,903,775,725,829,652,757,908,290,806,773,573,587,694,
667,856,416,011,247,872,316,873,433,950,249,451,035,805,411,099,361,676,379,
843,249,021,208,488,338,800,477,286,904,186,248,510,234,822,724,087,874,873,
301,386,144,954,898,962,353,556,929,433,823,746,822,920,580,434,530,678,469,
863,879,861,155,162,658,594,061,390,050,355,236,131,916,197,730,778,531,330,
594,976,160,798,581,887,848,955,322,204,631,386,651,137,506,043,362,763,008,
955,873,716,481,799,645,908,378,865,838,553,864,879,585,022,274,122,509,859,
218,509,632,503,752,235,158,424,547,154,516,813,573,917,902,643,884,104,063,
286,964,130,736,991,240,125,597,918,377,444,878,376,032,550,060,715,450,841,
707,327,598,073,945,654,944,183,572,394,635,407,339,758,634,140,940,508,531,
930,901,378,470,954,891,399,866,667,332,282,853,189,273,527,284,793,786,899,
955,420,540,529,518,508,179,305,807,873,745,839,656,861,728,923,146,786,653,
588,748,302,319,930,586,171,309,459,277,405,579,273,006,126,186,769,771,113,
709,208,056,581,702,074,101,904,918,466,544,753,034,332,945,707,400,217,012,
578,674,265,539,659,232,277,793,213,358,957,014,951,999,267,606,311,934,513,
274,526,609,216,180,975,494,055,810,207,582,267,379,978,675,527,645,116,427,
222,293,072,460,354,161,046,527,022,359,587,086,996,991,257,071,441,902,497,
615,432,438,098,730,472,534,158,184,168,435,051,496,911,915,617,593,329,262,
106,447,718,080,503,365,112,784,958,163,732,563,476,859,129,742,693,619,511,
883,814,922,785,040,387,562,011,323,634,612,834,467,762,244,435,438,573,974,
496,012,077,528,779,170,316,568,238,898,747,683,365,619,328,858,146,989,494,
173,912,556,850,493,904,589,138,274,989,338,482,548,271,316,830,562,752,918,
743,583,531,944,610,349,770,800,661,391,694,002,531,325,056,604,548,687,761,
060,914,238,879,479,507,504,134,626,064,189,397,911,112,532,153,582,296,782,
116,461,478,572,150,728,996,998,102,028,443,955,472,088,839,714,525,137,839,
696,542,667,270,325,194,132,900,271,435,665,802,468,382,130,505,236,362,428,
700,277,992,786,240,867,377,878,415,363,843,172,789,604,545,985,260,056,072,
561,998,180,673,288,268,491,589,350,172,759,866,035,817,132,454,124,906,005,
682,122,323,530,862,598,234,232,238,135,689,850,052,606,934,919,307,242,235,
434,918,353,419,968,822,632,428,162,881,608,828,565,037,058,854,556,946,037,
775,127,184,259,434,317,736,158,442,486,139,711,801,520,238,795,526,106,602,
754,380,497,447,679,326,261,946,132,089,853,112,471,729,774,609,375,590,813,
226,375,919,479,092,962,268,692,629,176,881,309,589,699,296,369,899,561,718,
241,417,825,598,821,514,469,166,518,516,635,251,515,037,440,364,913,994,975,
339,438,228,483,240,328,378,521,056,499,508,116,744,864,439,657,567,587,412,
428,798,022,418,037,566,371,158,096,620,189,986,149,526,504,603,795,160,919,
726,279,055,029,724,668,242,975,327,532,899,630,886,228,340,163,653,975,819,
517,291,685,420,278,873,634,712,582,464,763,431,263,935,805,494,415,222,440,
828,752,948,130,305,044,779,317,142,081,512,340,683,210,430,583,153,250,985,
414,534,225,534,119,935,544,307,595,428,805,560,936,064,706,523,109,345,645,
386,785,490,147,594,316,441,547,929,159,016,558,930,179,989,675,358,818,190,
364,603,423,454,441,141,270,080,250,154,164,003,447,518,900,790,575,613,502,
136,723,744,642,073,869,916,792,795,464,552,885,354,429,321,784,156,792,129,
444,401,853,087,328,889,668,516,598,009,288,957,957,049,230,666,686,422,904,
868,214,406,285,740,221,300,295,728,754,795,293,039,436,268,367,234,414,823,
712,974,981,728,077,036,258,330,595,329,429,426,520,551,926,233,835,784,022,
114,189,113,557,903,954,538,585,836,750,377,409,142,476,000,707,026,620,443,
144,081,266,878,127,134,282,840,475,676,915,571,521,475,143,982,607,085,392,
715,101,621,519,090,468,549,796,579,110,498,341,404,921,116,710,434,258,618,
016,419,896,196,668,370,339,077,879,919,889,739,115,732,416,183,039,805,657,
050,153,326,437,530,566,058,742,013,335,647,925,198,705,970,992,107,315,126,
845,400,720,803,415,235,065,261,569,075,224,781,879,418,020,278,223,057,116,
651,079,286,659,347,715,562,313,174,930,804,810,406,445,664,686,387,600,290,
718,959,269,704,675,235,554,644,906,348,354,371,292,495,086,987,420,900,689,
385,970,566,143,625,776,629,384,626,109,759,619,149,266,045,905,253,432,662,
729,168,379,224,165,099,522,700,740,269,457,980,745,525,476,618,169,366,488,
201,307,266,707,103,237,263,829,968,025,421,309,978,399,981,526,971,244,409,
460,745,208,879,750,919,899,992,898,520,787,733,509,304,469,811,815,999,358,
007,065,709,621,663,458,127,685,320,588,808,379,890,446,959,903,647,513,329,
766,551,767,174,363,816,962,885,870,434,340,826,808,464,991,271,599,380,457,
558,967,704,547,859,246,648,694,013,474,279,838,219,612,787,556,793,015,431,
703,622,974,417,928,870,397,020,794,153,687,724,347,032,239,526,137,081,937,
763,759,327,314,809,011,424,829,078,700,542,280,642,089,828,759,208,802,182,
389,339,088,632,786,672,865,770,727,776,689,394,167,674,661,932,777,520,046,
300,338,730,226,566,996,866,767,873,189,125,296,880,056,638,289,036,680,068,
991,051,208,330,751,674,055,994,403,882,430,192,272,999,516,870,121,169,010,
585,651,538,810,695,125,648,691,639,380,517,031,073,799,094,590,248,763,564,
979,395,577,860,764,879,510,876,214,279,120,828,878,839,197,199,587,528,070,
980,976,482,067,774,355,922,474,373,793,949,033,173,542,706,455,100,341,151,
864,670,864,766,357,041,813,879,511,113,158,213,855,463,103,295,454,043,430,
085,414,774,168,082,869,433,418,607,095,367,409,462,493,463,958,573,726,307,
080,422,601,345,485,978,363,269,092,128,976,053,810,494,348,134,919,686,935,
248,658,853,298,403,468,256,224,299,625,840,038,307,559,522,971,650,682,449,
010,287,450,732,361,080,907,676,395,440,767,212,730,687,187,706,608,326,444,
085,924,393,891,195,627,193,064,377,380,650,266,408,723,339,755,284,892,748,
468,433,024,531,501,818,927,548,600,554,764,284,640,316,697,725,525,387,895,
707,102,428,401,952,056,498,504,630,872,100,280,151,269,932,330,285,247,736,
812,496,643,400,367,827,501,497,397,365,890,037,585,497,562,031,960,426,829,
813,815,023,797,073,576,270,444,169,541,094,986,817,925,983,565,832,059,794,
352,883,469,751,682,339,580,585,986,273,245,473,123,504,210,432,826,860,748,
630,466,492,686,330,325,922,195,155,566,214,174,923,704,890,780,604,325,518,
935,854,680,664,247,081,068,228,577,705,470,963,185,847,890,003,351,004,010,
580,983,280,661,517,331,277,314,935,309,382,893,551,719,439,447,631,125,528,
716,161,228,120,705,041,556,704,361,478,270,712,593,195,551,971,428,892,236,
925,720,543,052,109,881,610,083,145,761,553,953,144,906,334,417,227,519,732,
349,558,310,497,249,111,820,236,101,121,705,542,996,670,422,104,985,142,184,
044,314,032,895,540,896,609,480,874,764,630,478,368,304,140,797,036,081,624,
153,611,740,032,491,709,952,350,833,088,527,203,730,417,702,867,216,260,636,
768,812,833,359,377,991,326,764,528,444,254,594,699,005,492,543,560,861,984,
085,718,741,233,745,968,606,789,633,697,214,782,796,871,105,964,445,815,497,
789,263,279,418,090,668,970,651,625,349,212,637,200,529,885,968,102,303,613,
607,695,509,261,023,130,274,854,906,861,078,828,892,017,976,828,406,193,284,
778,673,260,653,477,354,647,551,325,415,759,417,226,890,216,604,756,786,552,
324,536,275,862,944,045,727,219,584,848,585,766,969,067,551,407,190,400,513,
716,509,786,823,129,208,179,111,764,898,826,574,468,145,388,534,521,439,892,
862,920,631,462,801,624,007,993,800,001,880,691,095,123,234,216,607,239,286,
719,906,305,494,095,606,916,863,193,931,913,707,683,686,779,038,096,965,943,
914,645,621,859,558,808,758,208,998,240,954,502,774,636,448,729,707,044,081,
691,115,975,726,960,512,377,055,503,826,241,616,813,410,408,409,208,981,472,
550,997,192,050,684,625,127,279,839,261,160,452,397,353,543,780,968,516,666,
142,786,701,833,692,841,532,366,150,577,913,089,789,839,393,809,839,585,155,
416,507,761,000,697,512,955,084,167,941,659,120,817,205,472,692,243,104,125,
432,972,782,380,427,543,788,789,343,455,397,455,423,300,687,309,102,920,284,
415,117,333,604,874,316,549,454,620,112,333,470,199,891,278,821,315,457,383,
720,842,257,062,768,239,704,935,479,554,608,915,732,747,468,639,127,897,900,
830,779,145,146,269,709,896,296,013,960,350,524,239,504,325,573,682,080,117,
781,361,730,967,412,640,587,792,026,799,395,572,310,567,597,554,369,104,131,
858,152,582,376,957,755,160,495,034,003,432,073,792,688,631,952,236,777,410,
528,873,866,882,059,041,208,970,243,919,500,488,631,708,477,943,402,507,172,
680,092,651,333,010,953,186,536,950,902,620,357,932,040,838,384,097,275,004,
728,289,402,171,993,452,686,732,735,030,670,909,897,223,261,191,657,293,863,
933,623,348,794,012,936,317,073,823,645,234,513,794,776,874,604,493,371,479,
120,067,721,037,718,778,744,150,429,475,274,932,605,751,149,388,059,304,228,
210,250,758,195,803,371,860,145,843,579,357,646,257,847,798,251,783,356,361,
344,060,558,364,634,995,271,827,137,785,171,251,719,005,423,176,815,245,051,
724,557,435,508,403,934,663,681,127,351,608,183,908,589,674,782,530,525,672,
453,822,075,855,211,427,636,010,808,710,232,659,191,595,316,154,374,368,353,
664,450,290,405,058,145,580,507,086,173,656,235,592,188,606,402,960,561,519,
303,815,342,751,998,314,397,554,837,083,520,340,882,078,833,199,578,820,874,
010,698,921,727,956,979,381,203,502,987,671,627,650,238,182,639,865,650,682,
019,515,044,387,321,827,824,513,017,080,250,768,108,441,118,674,722,106,685,
019,299,724,331,959,728,362,272,044,681,149,280,563,699,251,992,858,042,813,
349,653,946,612,910,340,359,705,785,660,287,732,170,493,788,852,699,833,642,
323,248,902,151,185,669,001,760,974,905,812,137,895,224,177,936,582,727,429,
956,400,025,917,358,575,044,035,330,057,513,691,249,658,638,357,870,801,818,
478,271,949,685,054,125,302,281,802,778,493,584,385,906,659,275,549,124,317,
937,179,659,035,833,170,181,888,875,521,008,015,663,899,701,745,707,433,297,
023,143,746,737,212,430,731,600,901,305,918,162,050,487,286,382,219,438,913,
280,241,574,789,054,844,138,164,812,080,235,829,788,266,330,375,849,851,948,
732,522,630,969,296,331,725,995,046,448,228,796,844,709,112,196,994,371,755,
787,894,882,090,729,645,972,401,293,839,836,550,111,854,030,525,369,338,362,
880,966,285,481,785,649,169,038,957,270,938,692,814,892,002,357,220,945,951,
606,856,005,997,827,883,806,625,427,567,636,837,804,086,319,273,987,645,734,
573,581,372,276,769,577,469,213,448,422,958,759,381,964,733,048,113,482,876,
483,710,980,609,123,896,359,105,972,396,262,157,675,160,662,879,213,492,780,
047,731,787,379,233,147,282,546,967,547,001,251,433,046,951,156,598,608,809,
852,993,838,605,369,995,085,230,095,189,435,141,486,138,522,830,781,955,431,
769,639,046,808,540,734,484,417,955,225,713,650,818,852,926,888,759,188,899,
773,920,828,366,445,003,659,434,880,283,707,263,519,167,329,777,394,063,405,
042,032,611,555,389,518,928,659,400,358,436,258,210,286,536,614,436,573,315,
645,745,767,211,674,661,275,032,853,176,670,211,019,272,019,450,691,732,352,
558,354,916,941,993,134,840,928,898,843,536,390,898,195,027,862,986,535,075,
759,224,868,054,983,491,385,559,590,982,564,080,603,285,244,347,710,966,143,
681,388,669,751,688,050,805,303,741,976,381,747,155,158,566,318,822,540,915,
534,836,085,654,611,730,787,984,676,650,988,863,846,574,102,495,803,026,398,
124,455,406,587,099,192,194,409,936,828,881,575,201,291,151,336,261,790,551,
486,903,281,769,984,535,193,975,967,335,115,801,590,036,394,997,494,530,001,
471,251,381,326,394,250,274,467,965,190,474,894,372,350,505,431,404,513,000,
410,313,849,636,343,001,915,470,434,024,061,626,680,023,762,316,066,966,803,
315,066,605,986,162,236,515,407,222,936,293,891,956,482,067,910,256,428,514,
461,654,420,548,589,071,209,031,697,998,467,113,311,167,957,253,106,258,455,
821,874,985,838,363,466,637,386,056,616,446,748,241,692,568,864,290,399,338,
651,426,640,670,653,676,647,904,821,181,369,588,419,774,518,238,721,678,709,
567,387,044,186,852,960,174,231,490,492,000,683,403,979,813,682,373,792,547,
514,695,009,955,390,420,310,532,193,950,448,911,452,581,745,937,269,092,418,
153,068,223,540,031,890,740,905,215,125,896,055,126,768,032,361,958,671,291,
781,437,997,366,945,702,372,393,346,910,856,006,226,557,068,237,441,072,158,
972,144,176,758,375,475,197,968,257,721,843,799,173,636,810,412,367,280,437,
383,094,273,500,026,927,558,256,278,308,950,179,784,630,035,287,495,949,470,
135,665,081,429,185,728,748,233,440,127,589,711,597,311,507,074,867,653,740,
263,467,705,586,298,462,063,095,021,262,510,725,036,978,348,287,504,965,326,
840,829,065,904,131,778,986,709,181,868,203,337,288,911,930,149,471,480,498,
580,865,381,240,852,977,319,564,624,314,873,631,981,491,403,023,125,063,419,
232,355,430,941,206,820,226,965,393,737,666,017,779,000,218,592,059,268,159,
180,705,890,321,390,233,449,802,566,639,789,335,271,039,052,954,620,842,083,
642,726,769,717,448,422,375,852,496,259,362,497,736,912,972,567,468,921,045,
687,976,628,331,273,998,908,635,235,292,044,770,208,253,964,633,879,863,999,
071,498,445,512,284,638,501,485,879,215,453,908,304,421,835,782,834,622,850,
974,505,231,549,668,029,813,118,906,042,645,490,887,416,162,506,306,742,199,
603,948,817,632,228,368,228,752,302,203,356,520,122,552,215,437,669,328,416,
215,893,267,759,176,620,548,071,994,450,947,204,169,674,357,723,731,036,958,
162,720,618,163,673,796,792,340,194,158,939,693,296,229,034,376,521,798,725,
893,853,031,257,298,754,801,611,314,366,508,156,561,922,918,435,849,930,632,
950,826,896,402,607,636,426,180,857,508,401,664,567,987,874,538,643,393,104,
477,631,043,918,323,461,176,339,142,542,260,113,329,012,327,548,178,611,403,
030,415,807,767,117,296,829,607,625,058,155,416,786,207,637,492,402,786,429,
788,380,949,769,134,151,522,016,628,320,185,314,155,919,783,863,135,728,345,
571,737,270,427,013,111,476,905,719,503,836,213,830,021,146,144,774,232,763,
753,354,024,470,099,924,128,577,742,832,009,783,090,125,026,430,137,741,091,
467,426,340,969,203,904,660,564,834,882,693,945,518,054,570,145,971,080,344,
652,918,645,164,975,639,099,679,301,677,956,416,787,966,330,659,441,681,547,
085,666,998,316,959,855,258,018,992,150,968,458,981,688,989,829,548,235,365,
330,805,838,992,725,213,919,738,370,996,673,356,264,509,780,549,219,780,492,
945,142,944,091,010,593,276,731,589,079,841,158,177,725,655,575,337,842,573,
747,544,058,346,971,980,785,300,918,485,037,873,135,881,561,440,217,136,778,
554,198,527,813,338,528,901,824,628,382,658,400,934,588,658,921,086,407,101,
158,377,850,546,709,641,982,693,809,174,021,773,775,088,254,499,135,224,378,
806,926,623,986,528,934,207,707,128,817,462,082,908,991,414,246,199,983,020,
127,069,074,301,632,387,265,224,855,441,370,427,441,492,649,245,979,049,439,
178,840,684,168,169,804,527,268,567,419,279,402,571,696,368,202,081,615,521,
326,811,994,427,607,287,806,971,475,212,485,565,986,183,008,500,016,538,095,
314,662,661,423,197,539,880,805,696,819,276,043,770,401,349,681,024,293,322,
569,403,316,958,517,337,599,121,420,687,917,094,764,986,561,733,475,656,534,
681,174,379,243,713,627,456,496,062,486,780,381,670,030,711,830,363,904,306,
413,172,147,223,043,202,546,080,507,144,099,514,928,775,693,029,487,372,595,
329,582,973,297,403,430,289,107,600,653,509,547,280,484,494,094,793,573,745,
822,203,223,627,557,548,877,936,279,411,227,383,966,547,836,584,578,333,583,
132,429,381,412,137,406,926,438,939,297,193,581,587,105,612,043,295,063,906,
827,599,886,290,661,115,741,420,603,982,857,128,181,262,126,575,049,152,861,
118,801,600,437,425,219,652,485,137,451,682,226,666,468,248,234,275,572,022,
008,496,237,923,456,252,602,113,538,566,830,755,011,303,905,702,498,121,497,
737,660,554,133,490,705,647,346,597,003,336,707,008,570,217,898,314,249,443,
523,277,657,171,305,001,806,613,864,374,117,730,015,169,753,208,166,804,632,
744,691,695,144,013,749,737,706,868,073,956,684,232,756,943,733,877,320,807,
132,466,574,031,961,290,344,152,242,562,368,026,773,157,241,311,937,713,825,
639,103,707,935,825,499,444,201,029,659,799,550,458,115,031,837,751,462,052,
481,957,607,915,158,572,781,929,506,347,915,089,022,615,334,576,534,024,938,
921,717,131,421,983,871,970,572,480,890,446,013,404,837,505,639,358,349,527,
330,247,796,376,987,046,663,542,889,922,980,283,480,367,938,518,632,931,938,
312,237,748,072,492,270,649,442,553,713,288,684,632,620,876,737,045,967,790,
177,040,220,264,593,144,342,629,734,367,095,136,328,557,835,547,352,352,268,
240,089,207,808,668,610,737,222,071,572,844,683,992,761,709,880,554,769,108,
578,660,292,939,148,647,126,305,393,322,757,329,702,421,449,210,057,548,005,
692,336,897,220,500,912,145,402,909,568,910,618,552,701,500,576,309,093,302,
053,449,438,737,651,224,316,841,313,469,699,895,292,046,506,445,437,424,997,
601,640,256,570,240,282,100,104,866,595,107,930,577,846,964,624,564,025,016,
935,190,233,843,362,970,996,904,480,462,425,413,017,525,305,105,437,485,475,
708,826,917,973,050,321,960,669,541,421,916,016,219,253,727,333,649,115,478,
905,280,987,819,329,756,635,288,350,024,226,231,224,643,847,044,682,451,161,
459,663,042,096,733,304,245,622,675,183,763,484,568,275,512,819,234,578,707,
641,755,911,017,443,222,480,498,674,700,591,577,650,487,437,011,195,129,639,
164,572,345,862,016,128,288,812,812,451,293,402,426,862,616,433,562,290,428,
829,350,734,538,342,334,935,127,404,672,114,634,324,309,631,924,366,203,919,
017,644,224,714,001,039,511,252,623,716,079,342,698,336,845,122,108,538,805,
435,123,890,479,017,739,636,782,262,883,714,760,128,902,523,427,277,216,320,
810,132,073,347,038,270,151,707,498,455,840,498,268,044,904,886,662,095,505,
673,295,452,940,924,978,878,393,558,265,165,716,294,333,729,558,533,485,155,
071,361,134,193,052,330,767,127,422,621,992,882,966,606,092,498,053,716,731,
412,422,103,637,347,737,063,721,174,748,908,118,037,637,882,097,560,814,783,
824,856,715,718,409,676,332,485,591,408,944,038,644,308,855,278,500,718,141,
515,853,486,212,449,017,685,333,512,025,843,016,016,648,556,027,576,375,677,
879,106,258,875,696,670,836,126,528,890,280,991,653,384,224,927,443,008,550,
198,546,969,725,663,181,045,208,146,735,754,475,873,642,655,662,783,889,191,
500,332,406,552,742,013,686,053,258,324,229,949,468,622,098,988,076,241,241,
307,253,921,240,914,531,033,961,728,218,120,147,148,360,078,288,607,586,484,
980,086,795,469,367,198,550,477,534,021,388,598,401,119,489,400,580,393,079,
067,177,981,850,004,344,961,013,358,740,739,454,716,897,783,733,643,794,630,
673,896,430,717,442,538,785,241,619,996,778,225,974,680,674,123,952,559,725,
558,523,460,858,483,980,810,747,792,334,371,812,754,889,688,178,081,603,730,
358,785,877,899,848,522,746,634,274,864,542,021,800,474,275,912,421,611,829,
317,034,965,820,019,637,558,771,315,880,989,353,649,747,895,807,623,117,958,
442,573,492,357,113,663,908,944,982,532,821,222,525,469,798,471,039,871,578,
203,704,632,192,424,185,145,367,496,086,572,171,546,824,814,841,942,043,660,
647,645,219,440,789,387,692,249,684,076,203,276,367,807,403,840,869,820,813,
964,151,920,954,406,353,922,630,787,269,147,795,340,873,351,238,745,091,928,
440,601,024,767,321,938,106,056,404,033,222,302,832,334,221,084,015,964,212,
068,013,517,033,568,266,883,225,798,212,402,853,379,580,161,461,944,814,649,
260,335,150,743,732,615,596,705,426,392,634,538,136,351,374,675,838,774,028,
777,919,183,100,306,678,472,828,730,892,622,357,646,110,599,068,303,974,272,
333,393,433,872,355,431,051,021,580,082,132,180,733,771,090,286,064,851,273,
144,890,276,223,441,364,103,192,616,028,915,735,034,946,274,079,867,783,897,
922,705,432,022,221,839,427,810,568,164,400,111,267,862,961,670,882,983,597,
450,185,250,637,872,486,701,894,239,613,470,681,008,602,489,566,502,639,491,
379,216,625,834,104,377,447,048,120,425,237,970,228,356,962,524,848,336,143,
997,806,618,670,156,945,481,050,984,861,908,348,933,835,290,170,825,998,590,
656,102,049,436,241,392,790,577,064,927,651,233,441,281,852,785,509,433,018,
492,924,224,389,437,436,312,608,477,595,056,444,238,174,125,285,844,781,434,
700,609,620,546,915,388,768,189,164,099,948,208,035,100,186,236,046,159,902,
440,847,359,935,018,253,936,115,046,993,214,341,041,334,020,345,701,180,506,
416,652,210,245,215,311,694,086,872,350,481,777,565,429,138,069,064,477,614,
692,616,766,407,965,305,483,537,907,441,171,657,775,379,275,620,975,138,310,
237,695,906,687,790,249,047,216,056,772,359,578,661,965,423,497,474,656,153,
562,175,426,432,981,335,907,574,525,088,980,868,753,289,418,233,382,765,517,
650,668,982,865,511,586,624,376,579,390,687,257,588,507,442,775,139,580,628,
601,316,752,507,270,877,456,626,299,999,978,646,339,359,992,108,917,856,592,
007,359,105,020,984,660,184,842,732,836,022,168,325,249,207,331,295,341,201,
993,316,495,744,214,904,736,530,297,053,577,092,758,597,043,401,311,700,205,
844,690,533,844,582,702,117,801,465,578,504,272,146,614,885,608,236,192,716,
143,796,043,159,671,078,404,376,846,936,896,063,898,086,803,759,314,196,141,
449,844,902,398,623,517,568,281,187,360,204,182,305,708,897,683,850,299,386,
139,208,791,601,720,285,547,920,752,815,608,066,109,618,930,958,947,726,093,
261,246,473,425,566,888,279,551,342,035,255,532,126,460,305,829,242,293,237,
955,592,941,272,575,315,250,709,074,598,554,420,836,972,872,734,267,071,185,
784,264,720,172,891,165,668,628,999,921,309,863,513,581,182,961,706,757,542,
067,518,721,356,872,969,999,826,670,756,606,681,105,856,812,219,077,498,581,
927,584,996,443,572,143,689,312,801,645,173,535,446,979,032,954,932,104,163,
239,079,255,472,595,996,037,235,345,659,159,022,703,599,957,572,922,389,439,
836,786,908,722,247,686,734,752,578,636,943,705,463,931,073,930,740,972,977,
929,824,271,254,928,694,771,696,804,147,014,981,332,888,916,266,392,486,782,
016,456,867,882,487,387,195,509,253,583,379,338,845,039,475,870,676,645,947,
170,841,152,608,861,975,522,973,022,717,390,464,550,202,948,390,832,046,410,
278,878,537,063,364,056,400,769,224,690,926,009,366,846,313,598,776,355,372,
960,709,256,615,181,572,583,324,952,811,536,674,133,719,720,976,456,031,424,
443,527,217,976,582,759,832,790,885,831,661,559,550,023,880,702,482,757,226,
031,251,660,992,009,792,296,525,415,904,475,966,257,698,483,169,685,205,421,
077,798,274,333,401,465,122,628,026,709,218,757,647,957,976,939,963,756,664,
961,338,868,720,810,520,918,892,705,152,086,902,902,248,342,205,425,592,568,
138,465,498,556,741,862,362,668,642,950,586,185,314,011,715,696,450,555,588,
235,469,853,555,979,692,365,809,796,449,746,982,486,332,666,011,824,244,752,
115,550,931,291,755,585,477,642,137,329,158,184,691,931,104,562,492,476,101,
423,119,725,058,449,885,429,318,895,756,881,639,292,360,317,124,660,369,640,
036,636,063,047,357,835,147,070,228,170,512,527,900,122,267,149,777,170,857,
690,777,674,068,350,216,766,192,790,738,534,201,752,552,907,961,486,974,628,
170,408,461,477,257,520,698,825,073,551,711,213,054,558,222,381,161,668,662,
252,466,525,477,585,847,420,919,909,219,244,539,977,735,320,278,504,276,946,
355,042,693,818,032,819,569,012,968,998,990,151,000,346,779,559,825,041,722,
462,604,996,139,149,242,161,969,151,434,948,498,923,772,826,665,783,363,442,
924,177,354,504,778,177,880,849,730,366,201,626,527,213,344,733,751,267,700,
210,046,896,845,714,492,312,776,105,236,438,042,128,686,684,896,323,467,766,
934,155,946,622,547,154,355,113,245,745,108,425,814,032,684,361,489,419,743,
458,012,085,051,146,122,324,246,909,289,323,754,518,040,892,829,127,403,164,
654,208,758,809,855,211,082,415,736,190,074,550,350,501,899,250,157,244,590,
664,784,675,601,230,795,800,616,766,955,456,649,328,299,647,626,990,049,584,
181,336,664,831,524,836,315,458,026,339,811,340,835,089,420,772,822,141,342,
726,163,373,496,077,276,883,619,437,351,763,289,159,494,452,882,119,604,207,
537,050,429,921,619,184,450,145,419,586,611,975,201,380,107,403,067,984,015,
413,718,827,187,923,305,889,950,290,653,683,995,281,246,826,433,571,333,250,
565,230,766,501,275,879,769,183,111,457,522,094,182,228,385,692,135,727,772,
398,581,905,294,277,533,637,365,308,796,874,296,005,267,547,501,597,000,006,
037,391,819,762,241,200,381,502,594,157,829,529,452,905,301,190,820,786,580,
829,247,489,302,016,455,985,714,020,371,200,242,749,328,100,824,624,358,863,
772,755,087,729,293,033,761,181,450,022,583,608,460,903,562,477,010,695,678,
949,597,092,627,769,098,982,336,131,105,310,286,975,431,304,167,922,213,250,
094,937,301,939,005,679,559,251,383,466,086,627,392,972,466,197,715,918,673,
310,872,617,341,462,670,323,156,439,642,234,411,222,790,518,726,092,504,004,
372,907,361,903,410,872,226,256,658,249,869,011,671,000,755,099,430,418,421,
964,162,689,252,677,167,521,897,444,925,827,701,711,494,253,752,320,076,683,
079,814,219,270,813,008,842,681,319,803,701,064,835,060,959,364,814,199,703,
973,336,977,637,212,527,556,308,636,353,219,660,096,629,089,606,424,205,530,
121,754,764,516,053,889,231,507,488,748,950,805,321,506,042,601,424,746,998,
720,360,833,803,084,443,379,410,837,094,995,395,493,355,487,796,947,302,151,
468,539,300,059,611,746,130,369,892,977,893,178,877,199,304,788,618,613,455,
042,082,360,359,595,535,881,818,717,080,780,005,119,871,951,028,751,371,273,
967,869,572,591,349,980,830,325,167,387,448,864,190,336,332,257,114,679,610,
138,964,867,348,797,050,254,517,951,512,317,614,505,620,967,060,634,353,186,
928,133,939,765,773,852,139,685,619,966,030,393,279,520,932,576,234,076,333,
467,924,216,917,648,705,238,313,498,933,230,078,441,594,827,650,871,709,431,
383,401,444,804,660,516,780,846,721,504,847,775,192,954,846,772,160,068,355,
499,874,702,258,409,785,237,651,661,357,999,833,723,029,687,710,077,155,011,
995,979,454,780,241,827,517,420,032,270,213,916,671,492,788,947,645,648,267,
233,052,655,583,687,408,901,616,467,016,350,807,928,719,321,453,482,865,207,
503,580,227,834,243,855,017,302,922,319,141,258,995,462,129,254,276,869,995,
294,770,255,926,529,026,874,984,449,152,177,409,216,238,591,416,378,943,991,
820,160,983,362,271,033,452,574,404,632,615,789,352,897,269,041,511,639,089,
792,196,460,356,018,873,222,112,587,238,699,981,154,008,726,742,657,046,055,
498,968,602,330,654,620,743,386,898,922,437,574,411,355,027,923,268,343,333,
804,910,690,181,084,170,201,909,887,438,551,740,029,632,508,831,246,916,675,
920,972,917,593,465,106,672,778,533,412,765,755,019,791,308,338,277,550,825,
300,966,422,121,077,095,438,671,543,732,262,659,021,809,260,253,877,686,864,
794,839,389,684,351,158,871,007,317,826,105,730,906,056,931,184,540,014,445,
043,480,523,024,925,284,233,512,906,775,466,045,546,609,791,066,910,292,859,
093,795,603,476,939,277,800,135,031,836,795,181,591,830,662,518,323,817,395,
730,573,781,604,508,647,575,035,703,346,115,523,170,788,025,164,306,851,217,
574,829,384,427,136,508,089,664,912,718,751,115,078,215,923,379,035,021,553,
490,712,458,888,038,434,988,193,512,974,002,016,168,956,237,327,603,602,014,
565,119,990,211,216,498,062,750,411,280,049,366,011,879,751,498,503,143,808,
475,329,038,492,172,288,628,700,990,780,087,900,758,015,642,688,459,784,380,
860,599,024,007,544,423,146,894,539,388,740,412,469,728,783,097,125,510,866,
841,572,185,744,570,070,081,353,613,764,822,872,338,264,123,820,836,982,938,
672,426,123,824,449,833,408,044,739,141,579,298,482,515,876,853,030,182,481,
939,915,247,634,820,629,956,112,302,869,901,460,220,622,818,586,151,016,977,
673,207,947,777,886,956,481,577,079,195,194,702,631,376,705,701,896,627,918,
264,429,960,397,758,693,135,495,363,822,326,571,653,881,967,160,972,990,303,
327,251,499,622,773,491,222,635,506,058,572,359,217,470,885,652,127,990,111,
305,948,096,346,127,873,755,834,376,299,206,478,399,248,828,228,924,933,282,
912,438,029,555,903,282,725,431,646,381,042,037,212,923,097,915,339,001,763,
427,401,842,009,729,527,230,810,029,726,457,112,338,584,381,583,573,992,118,
130,006,567,161,634,107,685,620,902,380,276,400,131,404,334,946,942,211,278,
087,998,488,681,861,514,192,846,358,159,469,856,891,261,821,677,623,352,011,
547,661,791,198,465,507,502,049,834,885,324,112,549,707,327,004,268,377,299,
925,104,154,428,434,694,759,454,273,703,234,473,673,417,190,576,242,806,302,
381,538,372,529,847,206,522,282,106,898,845,253,125,475,811,557,636,942,658,
775,977,019,837,075,926,580,682,537,994,472,392,798,151,651,339,429,441,026,
703,253,187,531,653,621,379,956,227,093,572,403,571,205,830,182,218,934,863,
226,930,290,090,597,211,081,544,588,226,739,994,362,773,924,836,285,690,310,
670,082,384,180,483,629,169,878,578,250,817,430,159,389,070,151,536,054,058,
858,700,016,829,792,739,244,125,596,940,540,237,916,713,608,880,478,868,551,
510,841,125,792,927,246,245,240,382,995,336,622,333,471,934,704,760,867,395,
527,252,394,746,192,546,087,918,160,122,860,684,664,344,234,468,441,810,990,
056,547,574,358,195,180,367,063,256,640,441,155,687,288,888,086,941,570,937,
730,686,354,712,055,710,244,608,761,299,220,474,688,695,650,012,842,439,610,
721,043,300,464,706,722,809,948,229,733,835,549,176,369,586,186,907,128,488,
343,318,388,097,799,859,518,781,861,440,609,811,363,373,098,351,396,432,963,
108,937,090,934,417,547,403,850,264,451,960,860,973,797,287,403,967,531,345,
975,334,966,583,449,179,204,945,575,943,759,267,731,000,316,274,811,976,012,
128,423,828,762,307,182,948,573,476,848,956,877,170,038,565,214,350,905,856,
078,091,837,102,487,284,653,335,779,068,952,438,702,653,464,630,000,651,912,
407,380,898,769,820,261,768,015,536,241,864,467,773,104,842,509,940,798,551,
306,580,287,733,414,975,239,226,713,386,600,490,075,925,060,899,952,493,708,
102,628,499,638,218,417,955,476,481,260,497,818,310,234,425,711,422,279,110,
036,279,423,510,536,497,003,062,592,101,893,920,279,235,943,803,073,815,766,
629,487,034,823,639,436,869,683,934,568,612,782,242,059,179,266,065,304,534,
184,657,590,857,414,975,677,476,004,135,541,162,995,672,428,883,469,433,201,
115,452,618,395,259,614,159,182,591,166,550,472,518,633,734,962,298,050,247,
694,542,594,169,955,040,857,831,648,627,375,613,780,629,046,738,359,854,514,
603,899,081,604,825,997,008,904,585,905,306,201,425,958,723,446,261,410,505,
824,831,946,682,114,345,118,420,395,283,608,063,009,745,329,323,061,191,357,
825,206,702,635,375,875,270,254,293,254,576,656,036,577,615,619,176,094,203,
810,627,059,040,574,236,280,809,724,534,298,003,683,018,477,686,528,199,395,
556,308,056,552,924,025,200,841,547,593,656,376,824,680,817,945,304,262,866,
630,481,762,284,879,124,118,556,955,171,572,712,330,366,327,468,342,022,309,
977,834,456,821,324,498,859,157,740,135,157,122,228,376,125,743,284,364,654,
879,961,143,913,757,843,031,553,499,695,424,635,881,203,297,115,823,867,490,
651,391,632,736,380,637,213,533,746,416,595,321,720,274,724,578,952,214,068,
398,600,102,722,469,094,919,273,225,797,516,603,584,303,699,860,091,754,947,
694,976,517,609,302,936,442,854,425,854,865,456,482,769,777,547,477,312,891,
688,658,517,984,710,441,379,636,944,608,621,338,753,579,847,434,767,413,233,
084,102,369,570,393,350,572,088,119,414,183,479,453,575,354,769,343,749,668,
334,680,732,969,855,027,545,258,152,082,580,203,572,116,663,235,169,222,693,
077,150,345,898,369,614,994,283,423,348,899,096,651,069,877,390,845,569,655,
371,567,669,311,224,579,489,891,149,592,931,899,449,433,425,413,421,919,536,
750,408,199,051,857,652,499,086,196,558,994,826,388,846,078,973,273,428,129,
946,416,855,171,701,465,701,906,683,482,247,077,185,742,067,505,779,905,767,
877,158,198,801,669,276,353,086,071,554,854,156,923,758,103,239,530,583,837,
890,279,081,426,248,799,818,182,102,628,455,084,992,976,902,856,871,739,693,
662,879,073,337,026,635,791,692,533,910,491,637,136,372,140,490,396,881,055,
504,186,782,267,027,971,373,457,019,763,604,130,672,144,428,064,413,480,088,
562,488,561,260,103,397,504,189,137,372,339,426,982,737,891,509,095,690,965,
534,876,530,626,295,836,469,302,889,453,105,992,843,418,539,187,203,331,737,
685,042,432,808,459,135,744,467,801,551,315,915,550,800,735,594,883,347,322,
017,691,560,869,427,032,557,518,364,881,611,698,966,439,974,125,541,662,894,
090,160,960,571,660,793,869,424,065,829,396,313,585,047,691,304,134,301,917,
324,092,837,729,231,441,702,530,391,185,743,137,298,442,557,174,013,643,740,
390,526,127,219,983,645,822,329,484,123,897,337,404,055,703,529,989,922,487,
603,836,847,458,892,160,866,245,221,823,222,492,224,592,575,167,175,695,677,
404,626,032,596,891,882,173,217,976,834,537,515,547,982,141,272,666,537,360,
947,703,669,439,864,205,050,806,856,890,502,504,481,894,547,845,504,118,518,
875,159,334,127,723,481,171,097,210,630,134,695,148,755,678,788,556,172,593,
429,758,995,186,538,096,643,309,355,001,679,073,246,322,248,024,930,440,540,
119,189,742,794,842,076,698,922,488,563,542,108,968,497,472,349,597,707,777,
091,947,417,384,213,709,994,128,906,421,410,300,938,540,207,586,090,377,681,
186,248,728,591,593,709,669,722,311,600,392,782,638,582,691,137,986,220,164,
084,159,861,905,427,467,430,887,213,455,668,545,520,607,257,093,086,322,644,
206,507,505,710,649,356,482,266,240,518,997,791,864,194,247,178,237,238,957,
149,945,360,496,909,932,220,917,261,860,025,500,128,327,644,822,650,794,711,
599,101,940,645,115,195,178,984,679,100,610,206,747,369,331,500,787,957,088,
828,280,534,419,943,766,436,331,236,489,598,271,220,390,979,243,462,081,680,
649,989,049,446,079,000,287,346,415,439,368,974,591,554,359,184,648,134,009,
187,159,010,185,169,898,972,293,894,684,004,792,804,263,535,951,295,726,409,
870,233,920,663,528,588,694,602,791,243,428,440,698,515,637,309,761,443,968,
203,315,341,263,862,350,612,298,039,122,020,374,848,184,147,696,232,546,994,
302,132,907,313,125,231,244,754,803,224,349,512,080,240,439,415,843,852,841,
275,883,429,718,655,046,494,468,527,010,396,910,250,451,691,893,829,995,547,
657,029,481,933,306,965,553,960,228,190,034,738,280,991,857,564,746,825,509,
173,884,413,437,350,723,993,256,914,049,563,410,182,509,230,088,609,135,033,
113,330,402,383,146,634,902,642,306,129,305,969,344,455,474,815,030,359,644,
579,719,596,000,676,721,876,882,040,746,905,325,133,606,087,211,625,500,810,
410,552,619,697,806,926,581,124,017,444,470,568,218,170,716,988,685,734,850,
907,087,409,181,317,629,946,284,867,427,773,760,386,290,953,206,256,933,720,
075,757,731,192,968,905,740,813,516,595,530,990,746,010,066,803,881,048,040,
317,131,599,487,404,754,333,054,614,475,892,874,645,370,309,244,702,536,362,
152,293,494,036,154,405,846,971,056,336,224,734,231,067,750,796,074,482,493,
011,358,147,674,100,446,129,895,213,914,830,245,644,206,346,905,605,949,789,
432,707,111,605,815,528,699,043,692,491,009,560,384,141,735,391,032,291,373,
614,615,184,281,247,612,457,077,485,320,307,346,235,218,997,625,974,266,970,
687,461,366,455,911,429,219,889,718,039,348,727,132,223,339,755,298,017,646,
384,921,616,688,385,174,629,875,871,671,740,430,323,321,602,608,653,816,343,
712,126,465,982,471,599,696,916,786,007,653,905,616,508,186,432,708,180,508,
062,233,123,543,676,474,778,331,377,441,626,546,516,560,961,871,136,626,882,
559,343,116,872,037,825,394,222,798,873,786,055,885,533,376,563,145,723,599,
430,192,132,634,299,162,372,557,811,061,564,813,993,605,544,546,713,353,263,
105,282,668,134,159,444,738,936,654,077,319,176,502,282,075,501,757,894,397,
036,186,914,999,929,866,030,605,835,394,109,929,948,046,233,174,422,135,483,
401,016,371,173,814,165,288,117,941,443,742,980,535,728,822,282,231,598,353,
372,424,801,405,275,138,276,505,359,445,522,842,325,193,356,136,101,629,714,
017,043,143,875,725,254,901,597,879,793,310,435,756,979,782,581,110,891,921,
761,833,995,253,241,073,855,246,971,200,593,464,783,738,807,644,702,788,510,
338,148,206,558,938,438,745,171,209,046,055,057,629,399,830,841,026,830,613,
034,303,144,558,819,462,800,950,129,788,616,387,519,099,702,818,878,934,650,
470,049,493,782,852,223,858,390,086,667,557,571,827,091,838,271,022,401,893,
644,857,523,917,871,622,933,710,540,738,046,550,076,381,682,603,460,932,856,
915,111,950,407,374,938,111,960,172,912,897,033,952,256,474,434,659,899,628,
692,364,652,271,240,585,674,092,399,104,861,757,826,065,336,285,608,730,113,
137,051,494,833,716,324,637,842,754,213,889,773,912,255,543,911,131,841,301,
288,087,445,467,712,803,430,884,385,807,636,623,737,361,811,878,197,428,063,
391,887,682,558,012,603,531,265,787,496,980,612,280,905,012,859,479,165,310,
244,836,234,027,582,361,425,451,679,744,582,648,199,867,469,544,565,280,154,
097,042,791,555,037,043,479,155,735,468,636,900,990,446,929,735,333,266,716,
698,730,766,518,834,259,009,121,138,642,941,801,988,329,066,963,100,647,172,
130,978,480,381,597,053,039,077,926,400,824,563,764,692,103,162,228,226,226,
540,555,429,264,819,261,347,207,547,152,140,239,246,361,154,055,023,018,595,
996,475,526,620,331,610,538,538,827,046,136,410,068,846,406,239,011,412,702,
509,012,230,312,362,283,192,949,659,819,563,996,882,803,979,259,581,196,684,
741,432,493,434,312,882,431,976,056,093,979,987,469,601,523,159,840,876,540,
889,522,796,476,633,783,451,702,686,482,578,159,011,539,964,345,244,662,403,
502,880,824,537,022,804,655,373,957,807,433,100,992,232,101,571,700,546,708,
311,855,674,398,556,158,100,185,361,523,684,977,963,220,430,355,221,484,125,
623,984,232,585,096,742,819,628,984,172,505,841,329,441,160,030,234,920,906,
183,652,512,506,469,208,611,279,075,345,707,844,978,735,071,042,934,187,133,
220,997,794,085,183,594,193,842,429,557,849,529,863,266,698,467,530,300,782,
002,481,312,048,649,116,864,694,608,005,044,888,934,871,947,254,125,172,748,
777,959,246,164,302,032,852,496,972,495,998,487,267,911,028,799,034,609,703,
146,011,645,690,109,687,830,919,590,606,824,167,651,808,495,307,358,660,121,
834,180,336,144,690,236,808,730,551,575,107,912,902,056,147,232,496,110,288,
717,808,558,691,397,593,953,771,854,074,904,024,974,580,670,022,886,413,257,
379,280,428,083,856,148,508,252,374,460,215,718,016,582,151,585,247,169,564,
506,348,706,767,110,293,302,111,693,695,044,512,307,659,284,518,845,773,891,
610,716,769,077,037,281,901,837,113,553,889,037,679,097,950,175,474,718,580,
610,895,239,673,960,843,106,365,644,877,362,751,683,205,534,740,441,762,355,
382,978,473,723,441,569,194,931,501,858,335,617,482,983,171,984,254,228,715,
431,769,025,452,961,518,629,383,196,891,047,102,251,387,430,496,964,771,393,
669,343,494,847,424,896,054,548,383,855,807,099,541,050,994,367,080,873,740,
216,524,076,469,151,875,809,238,061,586,974,458,229,929,857,197,715,059,207,
783,325,668,658,559,624,701,112,171,267,794,169,325,464,487,283,673,019,838,
470,626,229,214,265,698,817,753,772,658,518,886,377,717,076,482,310,658,307,
692,573,469,630,881,438,496,056,586,758,593,860,018,944,240,331,868,086,654,
415,752,946,758,736,831,591,258,052,872,334,802,916,788,048,098,754,825,870,
520,712,935,378,880,874,544,625,603,940,470,801,918,870,933,951,806,853,988,
038,486,780,610,581,906,335,691,610,899,018,005,624,131,774,781,588,098,540,
468,146,054,692,630,987,024,815,362,758,750,401,377,752,508,650,659,032,459,
737,623,056,766,445,509,154,510,443,422,913,402,457,277,651,881,439,039,170,
043,323,876,579,466,816,805,618,233,091,837,594,408,927,225,479,194,988,276,
220,273,765,937,654,782,725,206,920,368,914,042,537,772,952,959,108,152,568,
713,582,622,920,419,643,026,273,653,725,570,359,729,957,521,362,562,548,411,
936,449,771,583,738,733,456,121,997,105,004,138,156,128,640,780,962,340,406,
503,183,551,628,682,176,120,220,528,861,663,650,718,510,032,248,503,868,530,
156,429,947,656,799,202,328,350,363,255,676,999,336,546,799,475,196,051,085,
256,143,687,015,241,173,175,705,287,950,610,822,679,128,862,601,301,959,715,
604,281,133,662,818,589,252,035,141,900,206,914,212,758,497,221,821,988,838,
821,519,398,350,157,496,307,864,707,814,175,065,115,115,188,032,143,075,437,
441,751,415,799,379,029,522,992,576,610,166,746,342,384,280,049,088,782,347,
004,208,017,232,701,270,840,199,517,796,591,581,424,601,274,167,261,319,024,
817,030,052,467,874,879,612,446,961,263,027,450,594,521,025,001,154,783,049,
599,481,222,372,129,727,075,961,233,892,527,895,568,731,906,340,171,567,893,
028,166,162,586,221,790,146,859,024,817,546,355,354,322,124,687,749,132,012,
732,009,081,650,130,468,239,648,269,025,242,662,809,051,449,002,673,496,453,
667,552,260,129,630,230,108,931,693,098,567,826,668,852,295,985,701,899,568,
265,077,184,940,562,786,650,483,823,772,946,900,719,851,912,886,415,252,419,
787,604,103,774,750,139,622,121,188,750,414,406,785,224,007,804,572,814,262,
883,605,199,101,409,632,698,138,581,941,775,485,546,897,048,160,605,990,769,
074,600,395,660,272,027,317,247,594,821,325,157,481,809,134,875,238,680,505,
945,440,733,599,090,716,147,509,523,060,999,596,986,721,658,735,961,991,084,
533,930,930,796,684,048,563,470,425,797,913,240,864,967,670,998,698,487,892,
777,819,358,529,289,641,609,564,843,479,428,797,412,275,913,310,720,615,786,
241,665,373,455,327,912,367,720,077,738,430,071,847,720,710,434,081,425,977,
470,524,666,592,706,290,577,752,020,192,532,889,035,794,377,166,334,239,595,
051,882,130,716,156,897,904,906,456,886,527,845,477,410,252,807,532,331,231,
860,693,098,458,401,025,044,544,275,555,691,276,695,377,469,727,011,277,799,
737,921,841,800,100,605,664,209,193,404,659,974,122,330,308,322,352,068,558,
619,792,660,017,260,996,734,163,778,063,430,167,032,169,304,005,283,419,858,
689,169,050,451,885,410,814,544,306,518,456,168,308,171,674,595,420,248,101,
805,503,714,476,376,208,910,127,017,645,916,244,190,973,267,163,702,932,480,
402,884,111,509,419,867,290,793,880,230,714,934,840,647,424,884,351,197,358,
204,340,753,195,618,477,927,094,258,195,508,263,565,441,011,647,404,266,866,
389,346,944,865,036,329,004,086,192,432,202,384,232,727,996,807,782,482,773,
354,918,593,785,706,257,183,443,000,425,869,687,325,719,936,032,082,292,247,
601,997,423,596,680,082,578,236,635,705,535,470,049,374,177,326,462,077,637,
178,508,246,247,521,653,408,287,218,024,841,632,471,512,372,131,690,593,875,
121,374,319,636,946,554,373,071,975,584,809,795,645,277,333,272,038,035,164,
560,910,905,794,258,156,125,172,046,621,845,589,940,626,016,991,464,244,928,
858,824,559,858,773,743,644,748,065,989,202,137,132,588,969,437,472,511,998,
551,726,405,621,724,506,221,875,137,612,197,464,534,515,216,224,427,311,018,
064,986,142,240,393,911,178,182,083,781,888,756,560,303,649,767,747,485,002,
690,040,126,838,384,417,395,207,434,722,066,028,354,482,445,098,915,508,713,
484,157,762,763,875,083,739,471,073,213,345,442,992,572,354,553,236,752,291,
495,432,909,821,627,371,817,720,093,510,815,996,939,661,686,369,807,302,157,
936,418,589,664,106,699,221,891,711,870,253,815,676,590,456,142,039,123,713,
680,575,446,081,597,410,922,751,021,454,341,616,907,139,405,455,957,298,631,
613,955,090,715,615,542,254,530,743,072,535,303,573,543,731,020,350,725,777,
551,832,440,681,276,834,117,314,561,247,067,441,580,757,828,955,772,831,984,
365,522,164,812,574,368,928,430,169,368,760,092,832,821,994,930,427,353,179,
273,197,198,287,868,583,101,564,252,531,009,657,368,367,668,839,488,770,257,
024,375,349,385,718,765,985,469,456,245,231,439,395,875,448,376,686,729,361,
155,146,999,673,634,360,480,212,315,128,100,622,476,855,450,321,315,364,422,
616,542,267,565,999,841,666,370,982,126,322,276,883,381,245,740,957,094,969,
055,337,175,428,931,367,137,156,790,764,246,709,254,675,471,628,090,030,981,
199,530,841,607,566,745,283,904,462,136,058,850,204,208,744,389,590,883,053,
856,508,432,921,338,959,601,450,625,423,506,959,354,915,221,934,369,020,318,
650,298,922,460,700,787,989,984,470,806,981,075,064,226,709,387,759,603,714,
806,431,682,434,364,677,482,533,158,591,959,782,567,497,909,999,370,986,632,
566,204,471,865,299,328,643,316,584,695,790,246,282,023,361,918,057,323,172,
195,449,224,091,918,327,060,200,685,928,035,490,817,420,300,794,360,684,407,
073,882,131,679,343,822,522,358,432,367,256,355,619,139,840,044,026,759,542,
770,904,351,467,850,153,673,562,266,979,008,216,036,514,061,707,546,156,580,
317,511,536,872,419,967,651,078,831,380,131,128,528,706,650,998,995,116,793,
651,828,205,036,702,673,861,592,504,862,008,999,211,760,325,577,380,836,636,
454,141,617,173,458,850,328,931,650,296,747,718,082,048,291,812,206,679,952,
529,513,921,083,581,780,711,735,347,964,966,992,345,107,672,733,373,379,008,
714,772,985,298,046,128,926,250,202,642,614,270,668,291,838,945,029,674,255,
805,832,119,202,289,563,453,070,796,379,909,339,479,687,114,299,597,381,850,
467,265,322,775,612,043,039,208,702,970,489,958,864,473,995,520,136,698,639,
947,607,914,144,335,776,175,044,973,365,391,654,413,813,763,814,255,591,660,
045,045,380,120,809,272,056,346,344,880,916,011,697,221,952,453,489,113,619,
788,570,620,294,046,406,025,798,843,662,308,097,137,828,964,306,192,600,844,
296,052,431,356,704,563,848,933,545,446,002,982,805,063,152,847,246,199,382,
525,210,678,594,155,445,808,151,494,174,481,515,096,169,168,617,373,610,089,
409,236,204,855,397,391,444,787,360,863,402,995,441,641,621,351,930,150,428,
158,087,905,057,276,601,896,316,481,020,850,689,311,393,049,262,559,263,266,
149,186,288,622,760,467,801,018,030,512,959,173,255,119,311,444,385,245,969,
956,429,768,625,959,011,695,796,732,041,283,198,888,015,790,297,602,346,095,
932,495,124,976,676,227,701,412,061,577,325,750,123,094,828,102,827,823,967,
121,593,432,615,864,755,559,853,644,720,004,345,592,007,736,729,356,220,145,
726,094,418,250,079,255,173,747,617,130,020,281,047,345,044,988,706,338,773,
763,484,194,373,411,459,187,816,523,416,270,993,488,464,404,088,816,839,179,
842,310,251,250,464,792,396,514,622,811,701,973,958,416,024,017,369,906,084,
272,984,048,287,080,935,987,406,223,280,769,728,046,492,567,938,402,363,413,
069,015,966,770,355,738,432,580,207,131,511,669,899,889,266,211,224,028,444,
071,872,051,746,888,546,206,020,459,602,659,178,094,323,872,636,043,593,557,
573,213,503,226,424,309,947,733,234,752,549,029,299,687,170,332,557,495,849,
359,866,757,110,378,140,916,094,279,828,498,751,047,844,752,444,223,181,779,
488,814,635,350,860,351,459,839,493,277,044,626,369,576,977,078,096,143,969,
512,413,554,628,853,134,551,891,071,109,816,200,165,803,942,348,451,948,232,
103,937,739,125,583,548,617,624,046,035,999,372,891,613,585,384,812,990,817,
919,473,966,812,076,288,941,955,973,562,358,165,336,909,802,569,454,799,662,
230,744,821,099,478,728,970,561,567,267,812,323,571,839,083,415,909,906,480,
057,792,104,470,864,096,420,401,266,809,282,034,553,097,453,472,575,395,333,
212,583,414,772,959,740,558,012,561,984,749,673,733,057,466,813,716,979,209,
124,009,776,801,416,135,365,449,463,738,580,058,825,944,877,766,167,994,517,
514,100,586,412,967,435,298,788,694,487,852,253,044,708,713,110,976,090,314,
586,141,385,266,462,143,561,123,958,363,076,620,774,258,229,726,682,428,003,
414,880,610,380,631,927,931,650,961,906,631,887,116,436,885,272,098,130,882,
094,942,206,347,941,406,354,873,509,657,566,335,196,204,277,302,680,059,929,
904,995,784,818,664,137,137,955,381,899,951,705,093,410,751,312,617,530,543,
212,898,005,646,217,650,229,297,813,720,909,334,783,119,009,495,560,515,826,
597,595,785,089,132,650,337,871,897,891,160,172,691,944,901,983,907,382,751,
334,932,789,195,412,292,340,009,876,680,240,230,357,261,255,853,951,891,282,
344,682,162,000,029,365,181,378,621,449,819,067,498,848,276,679,187,458,028,
197,199,423,896,866,204,560,566,158,689,651,701,116,838,009,502,788,431,230,
219,718,780,968,661,784,698,165,042,092,523,500,903,279,568,022,730,050,530,
660,633,244,806,847,672,038,986,734,203,428,511,419,336,623,868,858,491,550,
596,325,020,535,093,772,245,980,290,469,472,367,340,393,060,958,632,911,821,
386,843,206,894,271,693,037,158,073,888,332,402,429,053,913,285,129,283,131,
599,680,218,720,329,580,429,693,191,618,260,501,214,175,949,926,754,912,633,
350,085,672,585,733,977,997,779,528,879,626,219,904,858,349,881,001,066,537,
622,872,887,152,553,470,717,525,157,267,929,075,201,534,274,276,652,354,871,
363,064,294,617,034,244,894,256,569,842,620,780,319,758,068,838,048,496,019,
016,154,398,830,825,122,138,414,496,824,939,758,460,082,153,570,619,230,240,
314,955,863,816,420,224,227,017,258,211,743,703,723,640,251,043,963,196,073,
879,306,650,446,189,717,040,644,590,096,062,467,862,464,107,516,880,508,369,
919,019,412,762,554,303,890,222,486,882,637,395,587,216,811,141,751,192,753,
481,067,530,060,186,592,887,139,897,047,297,885,692,353,553,659,495,208,725,
755,157,107,538,072,187,044,760,383,171,343,259,193,950,781,599,729,045,030,
749,155,393,778,730,020,140,856,167,294,585,965,910,336,072,537,445,435,774,
516,208,692,927,005,508,225,485,584,132,692,834,678,635,873,442,308,895,029,
409,695,445,964,611,313,915,203,461,801,347,266,356,775,464,504,554,770,798,
021,823,423,790,988,255,578,810,791,328,763,620,284,395,140,503,481,211,436,
652,475,046,022,724,742,901,173,311,437,404,236,162,143,438,703,588,821,428,
800,952,863,268,922,034,674,645,776,314,754,729,572,308,985,713,115,958,474,
011,158,180,818,786,449,286,753,330,941,818,413,552,720,005,113,457,763,416,
855,182,296,053,192,544,132,957,563,688,973,993,837,506,453,180,348,354,975,
523,042,771,568,058,868,086,320,365,309,542,317,633,138,028,009,069,257,642,
256,446,347,910,653,981,898,019,420,274,948,807,825,291,146,678,717,357,577,
430,229,972,542,607,019,752,742,121,417,966,767,772,285,083,363,083,757,577,
279,075,270,581,818,089,035,795,701,589,193,068,564,035,212,072,181,581,079,
369,498,556,746,024,418,569,112,392,929,505,953,844,637,367,428,775,913,363,
523,151,813,579,950,997,567,206,594,628,381,508,651,929,908,882,944,637,112,
460,062,997,109,349,087,970,697,731,245,722,851,860,132,588,441,210,607,838,
098,434,525,798,145,096,721,495,391,804,126,402,138,450,936,730,397,398,692,
414,617,255,700,420,461,376,195,461,361,956,854,939,672,093,499,547,560,934,
965,798,378,551,613,151,194,668,789,870,567,923,258,390,162,589,907,893,522,
995,902,143,400,465,587,065,396,501,718,403,753,096,017,587,582,282,315,858,
675,500,003,377,118,456,217,111,077,214,635,427,943,164,420,515,904,039,948,
185,855,004,729,179,292,615,459,827,496,025,844,308,277,966,194,185,994,831,
071,297,854,739,239,309,924,757,173,425,916,539,810,241,926,059,922,845,810,
317,670,960,829,997,320,473,402,885,976,069,869,834,080,666,977,990,386,701,
676,946,728,280,711,716,218,508,922,019,773,220,220,186,578,390,001,370,121,
843,606,360,147,607,869,502,676,682,291,232,265,964,343,178,978,409,336,057,
768,931,955,668,325,177,869,422,086,739,864,361,218,494,508,183,691,676,770,
368,799,354,329,110,745,427,245,680,503,795,092,896,785,293,875,058,996,921,
177,208,242,397,560,521,720,448,914,391,696,258,126,280,142,962,389,743,743,
844,529,799,792,837,377,541,608,807,806,060,508,753,684,272,150,582,311,762,
310,222,219,444,488,972,851,388,863,688,353,042,566,023,540,163,687,544,343,
478,206,225,690,347,890,183,060,283,517,455,659,879,093,085,133,008,497,676,
547,324,341,315,094,434,189,293,131,791,274,023,107,800,978,165,978,938,730,
740,543,636,389,570,347,033,231,067,904,374,725,316,514,924,519,129,805,093,
501,229,422,558,466,567,747,683,158,158,033,721,467,944,430,530,054,633,063,
477,271,613,809,827,403,704,221,897,285,533,832,956,892,084,493,135,504,704,
442,138,766,616,298,623,673,503,142,941,819,777,696,281,214,039,137,455,244,
085,037,117,915,921,810,566,551,910,687,914,846,038,724,811,302,761,627,846,
043,164,425,406,903,517,642,260,764,399,349,915,442,672,787,111,334,689,510,
730,980,548,187,470,969,352,004,563,754,432,087,745,074,915,296,719,211,237,
220,722,653,646,886,397,030,255,431,198,097,314,115,346,386,517,614,080,877,
016,257,941,974,950,658,856,131,148,991,812,152,505,230,795,490,368,380,718,
085,984,387,436,361,483,893,212,694,671,518,869,430,113,959,342,198,549,426,
014,040,916,284,005,179,224,724,999,345,069,848,692,125,186,074,519,789,549,
826,432,774,325,689,421,878,069,705,129,263,834,525,464,704,215,926,496,042,
897,555,677,268,363,013,768,174,052,623,649,695,362,623,599,976,673,535,698,
134,918,027,014,500,042,296,385,967,564,439,995,461,335,750,957,965,091,914,
859,071,007,554,680,569,843,094,519,962,387,162,749,951,995,998,071,404,659,
163,312,904,157,604,486,713,303,344,135,867,652,399,679,864,587,184,982,404,
140,966,041,128,601,963,257,754,037,388,139,118,599,143,409,692,501,802,972,
478,557,114,340,301,603,853,758,719,186,086,078,432,472,653,621,997,867,454,
377,651,906,441,413,849,276,906,592,845,597,434,454,864,315,196,561,361,547,
454,287,193,884,119,653,042,319,510,952,158,842,157,837,355,615,153,654,106,
288,020,106,096,249,031,883,022,660,764,860,616,462,218,360,099,828,413,085,
017,249,641,544,251,237,316,508,833,849,034,810,981,239,743,451,175,128,613,
805,315,975,808,707,162,284,993,050,413,531,428,351,011,537,632,783,856,903,
641,990,697,556,287,203,223,242,465,373,918,137,595,385,136,287,273,915,565,
137,220,763,014,912,214,170,588,241,462,873,726,513,774,595,264,856,883,670,
413,468,168,745,555,193,028,546,393,186,540,727,391,974,535,254,195,038,829,
921,930,772,055,179,237,797,770,358,033,146,711,393,396,521,645,389,597,668,
832,045,135,796,777,665,090,229,873,562,612,313,896,746,019,844,358,529,358,
148,383,997,729,344,163,143,790,077,664,024,032,289,126,570,497,637,243,488,
774,873,848,286,975,553,675,506,088,499,014,714,091,085,138,091,459,258,677,
058,132,012,476,825,063,484,901,161,514,669,570,519,151,194,621,932,006,529,
027,209,851,394,538,227,809,729,995,385,720,595,444,011,761,458,484,799,151,
430,362,702,413,396,914,523,205,868,466,638,505,114,863,064,570,874,636,313,
789,929,122,306,395,330,578,317,451,128,717,058,404,988,455,216,332,869,189,
594,028,720,390,087,596,784,255,926,762,296,645,218,737,786,146,870,419,990,
319,057,418,604,350,389,242,406,499,950,033,250,506,278,032,650,685,862,178,
178,393,263,262,102,205,378,514,269,499,932,187,066,874,643,099,371,789,067,
309,075,926,136,320,978,229,119,296,323,985,137,334,122,493,298,714,048,876,
520,591,852,606,836,480,588,219,369,106,490,228,859,875,442,636,298,569,094,
767,700,295,642,738,031,811,220,736,911,362,488,181,363,749,745,371,777,479,
202,695,789,524,370,295,303,431,783,460,062,869,532,909,802,906,170,029,385,
764,653,623,765,869,239,319,377,152,935,774,715,594,363,026,337,405,445,429,
479,817,115,657,065,781,300,446,262,379,518,994,533,705,059,458,503,983,729,
888,826,533,113,806,450,257,366,716,229,970,733,849,961,936,228,033,011,563,
902,080,660,736,757,973,384,069,614,532,613,567,345,252,869,042,487,737,780,
730,919,367,333,334,359,837,195,964,561,301,313,207,699,997,217,641,773,009,
718,904,984,030,973,889,495,844,477,680,514,993,051,922,812,062,608,462,597,
464,204,935,989,747,306,309,017,180,560,313,171,900,758,987,504,148,377,058,
372,369,337,355,576,708,413,153,722,445,872,593,500,823,029,680,977,859,192,
968,628,024,090,016,256,704,454,587,308,012,492,738,694,036,430,007,060,587,
126,920,443,127,702,913,876,179,097,342,008,004,492,124,429,901,625,530,139,
613,192,182,039,937,520,322,851,442,549,977,063,423,157,350,124,384,105,904,
757,405,927,059,304,170,944,989,310,172,871,607,874,636,691,363,118,953,761,
599,370,720,968,409,551,998,913,072,542,163,239,570,294,578,328,476,766,872,
232,576,905,836,761,603,625,661,371,908,456,203,737,967,832,591,681,285,213,
432,567,281,392,982,138,177,448,972,970,336,519,963,777,359,133,497,955,678,
389,358,263,524,105,889,710,119,368,687,761,320,543,903,885,800,845,027,346,
098,536,696,247,031,788,045,665,230,629,556,782,822,132,266,826,227,877,879,
780,920,307,462,534,068,031,192,057,240,349,720,706,856,762,405,192,435,650,
096,987,109,503,303,491,098,358,026,643,126,013,785,018,095,041,336,832,832,
506,286,545,231,549,536,532,962,570,296,163,159,100,965,600,277,947,489,980,
265,458,409,993,003,592,239,263,062,948,659,072,106,647,501,620,046,074,732,
276,215,498,003,466,894,397,407,252,946,551,529,293,228,863,707,166,065,809,
367,036,850,447,889,335,564,177,910,595,250,772,416,431,473,621,818,870,184,
213,728,003,241,267,024,166,254,872,062,882,892,529,330,507,888,153,738,521,
788,335,071,696,980,052,363,060,161,837,946,365,196,887,690,218,668,627,532,
016,741,283,321,277,163,168,588,616,855,939,548,612,915,593,908,431,790,840,
595,226,127,750,315,412,558,351,765,738,972,730,213,062,284,893,545,844,160,
627,617,508,191,487,206,388,002,580,074,899,593,140,114,739,931,996,313,945,
389,726,510,307,303,873,364,705,996,768,196,881,294,408,360,418,427,944,155,
374,368,716,906,391,588,747,522,777,219,500,727,685,624,778,957,021,320,546,
608,227,289,423,674,719,457,292,878,197,006,797,675,194,638,586,972,784,565,
953,419,612,476,908,778,789,371,737,870,955,115,050,084,769,953,409,664,985,
419,627,633,294,288,389,689,594,556,713,498,460,505,346,773,496,198,506,536,
072,551,513,481,616,415,848,287,556,251,931,060,280,473,205,891,974,404,322,
522,890,457,166,360,112,578,263,016,948,081,915,502,133,015,030,987,013,970,
222,286,456,325,976,295,715,409,056,826,344,813,851,426,973,400,639,013,127,
386,661,879,806,856,587,633,531,486,950,939,934,382,573,519,338,951,152,987,
215,291,236,753,145,702,403,230,349,890,207,335,960,339,029,144,739,723,509,
542,895,677,377,385,326,758,450,077,213,580,860,920,551,055,435,798,475,775,
239,848,711,213,776,867,316,683,139,967,733,479,683,827,193,885,790,630,639,
135,303,933,329,871,335,931,303,162,114,059,083,511,063,205,144,877,433,309,
413,494,867,244,305,322,829,467,931,192,402,072,205,442,419,655,309,747,089,
440,303,228,738,388,039,337,877,350,873,325,120,420,903,354,558,236,214,845,
316,450,996,270,910,193,830,618,934,340,352,470,489,385,288,133,379,317,906,
649,424,094,162,986,373,813,103,344,732,039,241,068,998,771,838,304,330,927,
908,317,281,574,573,347,169,481,798,664,619,844,829,433,354,404,541,902,481,
574,346,943,737,865,907,968,939,250,503,242,916,427,260,806,772,033,205,390,
360,519,057,122,550,282,913,703,420,450,355,951,224,115,685,176,438,091,843,
414,774,976,749,354,296,619,282,989,789,640,341,293,067,569,207,541,654,771,
723,288,209,834,824,054,038,112,431,249,054,403,080,653,783,905,086,540,503,
172,084,050,695,480,170,173,917,900,552,385,220,103,743,149,912,070,788,772,
953,099,324,430,075,285,141,145,443,475,197,829,439,028,290,513,799,105,868,
872,501,452,608,824,092,992,568,192,448,222,965,272,680,046,861,956,003,396,
917,078,945,045,848,292,700,169,516,389,498,210,742,229,560,985,019,503,849,
778,927,298,981,798,601,622,484,767,015,912,927,995,033,797,629,315,052,423,
907,091,890,913,921,522,732,861,222,778,579,631,174,841,578,276,835,621,522,
524,784,426,387,626,812,071,770,252,228,186,060,506,465,841,983,699,833,612,
892,916,522,534,853,440,813,577,321,862,399,826,487,295,788,118,142,286,723,
679,011,451,657,287,303,924,382,901,570,592,291,470,786,870,323,967,232,525,
107,157,813,462,293,026,079,045,324,855,379,210,524,452,441,337,481,527,448,
273,958,426,290,830,344,971,972,832,539,178,265,854,355,922,432,949,472,062,
229,205,635,119,141,669,664,573,388,190,167,265,914,628,451,829,954,631,409,
450,165,635,600,945,870,235,896,047,913,831,342,027,167,374,278,390,835,703,
240,464,686,676,484,880,972,279,679,304,237,511,553,052,561,854,602,566,580,
987,465,906,817,126,439,121,612,097,043,356,928,806,937,412,887,722,560,019,
861,553,820,303,860,295,162,692,122,805,406,542,950,820,240,140,373,953,785,
954,290,579,722,703,337,244,867,710,494,665,612,201,845,585,435,421,279,311,
057,382,823,803,750,132,851,895,718,101,750,194,856,876,662,990,035,701,666,
913,926,640,678,617,753,226,179,424,568,591,356,606,320,606,542,401,328,909,
208,142,986,783,986,847,257,237,633,352,590,377,580,532,828,375,120,171,527,
936,396,336,009,215,716,373,642,728,682,275,277,597,645,014,326,864,760,795,
557,123,954,179,355,064,273,013,793,296,616,820,219,908,313,544,821,886,437,
988,887,624,930,175,896,383,200,371,489,656,369,136,711,206,374,417,226,108,
284,538,559,420,337,825,871,695,719,394,105,678,624,874,234,749,398,005,244,
539,147,279,402,946,935,694,784,377,106,786,548,868,860,106,366,719,081,777,
379,785,739,440,783,895,729,358,420,209,809,748,640,889,327,782,601,517,564,
357,769,593,526,278,314,144,120,477,034,385,088,847,413,128,167,670,441,936,
343,229,036,496,934,174,177,381,195,614,701,739,305,639,079,908,446,048,352,
893,459,834,378,333,514,470,161,674,554,586,458,208,405,935,684,400,319,230,
636,622,863,186,260,997,063,216,576,298,579,242,651,127,389,815,303,848,406,
584,112,385,764,425,472,317,559,359,664,743,900,705,548,510,596,104,944,622,
570,010,307,775,367,249,262,555,716,207,939,308,012,561,286,785,605,602,823,
705,724,223,549,803,542,764,103,877,314,864,765,603,661,880,094,459,100,333,
303,975,956,768,703,743,739,673,059,448,687,998,942,494,209,809,760,577,718,
816,303,706,549,639,558,243,051,836,439,800,857,243,623,790,222,185,461,390,
331,388,667,038,844,278,792,260,447,209,408,184,837,118,103,033,522,282,407,
608,725,519,162,077,230,293,260,073,439,047,099,449,538,234,495,171,137,286,
294,093,036,253,516,920,042,710,225,391,661,632,728,982,828,888,521,743,002,
441,540,340,987,792,873,209,573,718,995,341,776,996,771,194,698,885,113,769,
107,932,544,236,778,021,979,082,195,214,346,423,072,228,783,608,118,187,968,
882,916,116,165,915,801,141,483,897,271,801,082,470,813,166,517,747,686,484,
077,192,685,504,168,953,704,893,591,790,791,195,724,749,582,125,141,298,287,
168,359,693,347,473,313,450,649,072,092,770,868,863,140,844,026,669,967,344,
930,890,236,238,351,446,685,265,048,044,035,273,014,928,454,042,122,182,072,
990,041,196,672,965,341,734,309,271,104,203,465,602,307,369,707,678,153,097,
546,577,035,657,078,707,936,362,617,794,525,405,503,406,853,858,741,156,639,
654,794,755,089,916,557,126,994,917,401,405,486,806,213,847,076,950,475,580,
270,860,141,774,466,804,336,765,970,064,893,653,536,184,459,498,420,151,362,
145,511,487,916,357,209,513,379,299,265,044,085,298,549,837,016,863,196,181,
341,860,448,210,539,230,219,438,190,407,464,611,040,239,147,990,280,827,579,
201,469,091,286,956,753,316,983,603,994,680,849,412,865,780,731,319,859,699,
571,709,502,740,484,211,729,825,522,270,694,798,840,220,640,437,126,834,174,
833,785,910,058,420,188,942,022,465,886,923,372,654,902,721,659,875,636,544,
813,714,668,811,743,562,828,853,398,846,969,763,741,425,995,037,314,031,588,
154,590,176,127,219,567,253,042,981,206,748,529,929,785,684,430,343,953,258,
163,147,802,972,129,742,226,692,004,737,979,616,389,692,692,877,949,417,100,
545,053,183,606,542,968,658,399,771,099,543,495,183,503,373,715,271,750,006,
180,262,059,116,513,977,613,883,934,711,931,944,784,155,019,657,326,579,515,
332,418,402,858,031,722,907,477,345,559,785,599,174,833,696,128,822,886,943,
014,170,917,379,124,099,040,846,838,197,296,736,036,308,448,700,322,893,782,
622,146,724,009,132,426,321,084,178,382,795,930,303,713,786,422,433,715,061,
902,617,560,020,429,897,592,536,625,238,153,102,867,524,249,724,551,616,900,
180,753,890,067,053,080,070,820,052,126,221,849,004,833,935,703,787,124,823,
901,895,183,353,962,487,254,715,094,101,361,683,172,825,008,209,909,257,072,
350,983,881,964,111,702,035,283,361,883,138,926,844,610,469,098,522,027,883,
395,786,209,177,683,077,421,050,318,637,009,452,116,505,057,772,970,438,791,
935,634,953,549,976,661,950,904,982,693,434,432,394,382,013,315,779,807,633,
565,468,170,372,506,487,018,996,450,557,505,791,027,124,266,800,038,747,736,
527,659,683,839,680,214,089,896,389,094,055,177,293,052,152,724,671,475,676,
289,969,678,934,977,947,016,034,033,190,128,133,447,359,987,688,675,875,428,
352,907,002,476,308,810,638,750,978,706,138,607,743,226,144,870,748,540,763,
203,589,402,407,121,959,976,245,631,592,314,071,797,557,378,821,078,572,916,
411,219,157,098,748,076,947,806,430,718,164,485,810,931,443,293,515,839,918,
984,585,222,330,330,025,914,775,334,646,613,896,672,972,946,777,624,292,567,
242,186,745,877,350,844,514,035,836,581,261,274,782,230,952,351,193,725,385,
981,653,825,340,257,815,405,432,345,297,632,457,871,731,686,863,630,403,997,
001,844,242,141,745,972,050,540,712,915,395,802,747,871,058,077,404,925,493,
291,222,452,828,733,229,504,317,751,246,163,318,879,618,120,595,618,360,010,
357,179,047,506,883,250,960,842,385,267,249,438,683,884,598,723,076,112,813,
041,321,874,036,485,369,773,446,862,757,674,855,702,307,436,273,672,354,986,
991,704,924,721,934,416,517,987,874,795,001,383,556,372,312,492,097,932,440,
747,941,654,782,631,698,867,672,878,913,063,665,732,448,749,074,558,800,880,
255,386,605,423,680,026,945,032,405,608,344,036,999,638,978,360,973,798,483,
953,644,178,822,305,782,583,785,574,003,229,355,855,164,825,657,248,941,537,
968,602,427,403,981,247,269,664,259,636,125,791,685,948,063,473,000,777,325,
911,224,966,585,096,211,596,174,016,338,259,667,892,072,612,610,430,474,635,
216,579,042,427,076,089,723,947,449,023,123,498,162,825,379,111,141,401,465,
658,573,959,346,612,531,036,377,636,507,059,121,557,611,563,744,848,663,803,
671,482,685,898,037,168,304,396,917,121,097,361,500,726,051,842,176,063,900,
626,079,927,553,984,602,527,285,266,539,686,590,773,531,467,827,718,537,510,
532,069,425,834,788,338,583,777,217,457,188,996,495,442,422,289,206,063,646,
862,028,999,111,785,453,703,850,262,828,185,990,741,672,747,288,056,510,665,
365,652,376,383,986,126,884,448,682,750,918,561,478,904,879,561,211,837,026,
873,722,358,025,916,728,883,063,486,691,131,981,590,345,225,496,374,153,828,
172,306,023,949,094,901,113,104,597,591,978,801,170,439,052,652,001,073,259,
641,396,539,589,877,203,253,245,429,605,685,319,386,979,393,443,574,063,122,
707,223,476,171,379,394,876,596,988,727,109,916,635,231,101,769,539,094,003,
676,459,543,447,189,035,760,456,794,974,830,015,672,838,192,900,441,698,314,
634,743,643,493,932,531,643,230,830,692,494,689,768,981,220,164,010,087,579,
165,187,245,868,570,783,959,999,847,060,505,116,786,059,410,174,546,638,003,
300,804,994,092,629,308,509,465,922,046,535,004,920,230,783,863,952,979,484,
795,208,507,934,270,578,712,222,907,283,840,454,667,437,097,832,874,254,880,
680,012,861,258,375,715,894,554,107,418,265,040,459,639,986,269,850,885,490,
796,995,189,242,979,095,039,836,846,033,199,748,967,694,008,343,747,284,126,
588,643,333,786,882,297,269,265,925,857,958,883,212,204,995,941,549,816,602,
094,610,594,301,379,574,159,732,794,853,761,040,698,676,636,163,403,891,542,
075,517,199,218,005,331,774,339,762,369,223,535,703,944,107,212,092,884,757,
505,151,091,649,062,601,629,791,820,721,203,310,462,930,176,666,688,588,026,
687,040,264,840,208,611,834,012,861,815,775,826,190,329,910,518,318,664,680,
187,107,933,069,720,403,104,120,917,976,629,719,285,413,669,609,291,423,642,
733,079,585,572,629,443,433,276,834,045,067,713,078,099,592,659,757,539,710,
145,294,481,111,853,706,878,220,022,227,050,917,599,629,457,238,508,794,992,
028,327,503,070,782,061,228,971,261,289,211,649,470,476,444,701,778,371,668,
044,289,288,094,104,892,273,221,079,450,600,872,888,525,279,977,693,947,346,
416,174,799,669,142,820,616,684,493,648,690,580,942,103,329,577,016,260,138,
134,682,475,951,807,438,969,371,629,534,403,930,483,694,818,597,111,690,085,
310,945,534,320,992,960,536,859,516,823,220,377,177,029,692,923,396,911,915,
153,596,000,184,540,418,073,709,870,630,670,229,932,287,827,135,252,303,598,
557,966,212,854,747,364,167,309,496,566,738,290,497,558,843,630,813,877,741,
252,272,721,025,459,227,493,648,861,822,741,679,568,504,731,533,354,021,698,
393,297,245,648,667,845,273,973,796,022,304,130,979,392,270,545,623,488,119,
605,365,206,926,739,428,139,450,944,234,595,155,328,448,712,721,885,275,154,
331,365,804,172,837,510,064,165,564,790,090,038,250,238,006,814,365,164,389,
066,954,791,935,140,951,699,093,013,900,466,450,508,127,308,429,511,295,902,
091,693,407,958,250,469,094,164,035,339,623,075,554,614,128,955,093,406,560,
185,485,466,076,998,617,026,395,998,795,732,707,606,266,870,295,566,619,693,
299,600,171,983,528,725,011,126,174,773,253,985,552,504,334,618,496,372,051,
809,986,472,911,785,871,383,892,470,073,167,580,073,665,397,460,704,526,737,
300,950,951,776,490,591,641,210,391,678,368,058,305,016,191,074,878,268,039,
910,422,315,511,309,482,595,435,200,729,189,113,335,585,551,750,296,457,351,
698,200,291,455,605,389,861,352,540,725,385,377,422,282,184,304,411,164,837,
794,276,923,189,401,332,761,154,076,956,543,947,659,838,808,584,397,993,315,
005,505,599,449,772,937,370,189,321,085,879,742,794,920,202,684,066,980,946,
072,047,308,080,882,320,986,643,236,910,275,001,747,450,037,228,982,236,753,
645,236,217,103,897,647,656,095,545,017,044,278,997,675,650,522,204,645,199,
538,829,226,654,149,618,204,666,288,577,929,306,928,522,492,068,872,226,270,
993,726,473,035,354,355,427,231,668,390,662,220,089,432,586,170,989,536,761,
329,144,576,007,808,954,029,115,194,074,323,484,352,431,088,142,882,544,824,
031,434,084,193,874,540,252,156,856,789,164,093,093,559,145,108,480,369,625,
731,406,560,580,895,179,042,992,375,195,586,322,097,195,085,113,869,329,750,
364,714,429,312,041,835,470,765,578,832,912,337,592,215,918,456,488,712,723,
754,181,595,430,358,074,746,651,205,574,428,345,671,221,334,742,961,225,929,
487,021,536,768,845,782,493,804,760,476,355,994,710,669,403,664,240,302,007,
046,432,568,305,981,396,997,346,770,759,767,257,231,247,053,133,086,449,650,
109,284,617,492,079,184,954,574,526,959,983,691,805,851,833,054,606,208,786,
955,297,970,936,728,260,195,802,782,948,197,823,112,432,496,100,917,546,058,
657,180,493,234,393,521,730,324,176,259,250,371,529,867,871,321,509,009,463,
476,624,172,546,679,834,712,120,221,889,048,254,308,657,953,220,837,494,834,
225,177,181,322,447,085,689,743,397,006,222,357,185,737,057,130,068,081,145,
634,564,371,431,818,490,041,968,743,700,440,297,641,114,916,394,336,312,073,
364,734,869,805,965,192,158,651,998,196,432,251,910,307,419,897,782,354,782,
414,384,752,733,057,225,962,900,815,904,439,643,364,587,374,194,650,890,520,
800,345,621,371,001,656,802,266,242,136,666,355,205,897,681,560,051,671,733,
739,700,747,705,764,988,054,437,099,675,315,738,335,021,687,440,286,773,669,
513,281,832,962,181,082,782,903,311,961,909,008,599,020,430,754,015,932,474,
237,889,071,924,430,370,919,142,572,347,246,485,224,364,555,651,772,135,953,
356,414,366,499,461,699,375,709,238,428,016,162,230,525,426,701,343,688,277,
761,931,601,344,871,061,419,742,756,609,219,946,178,246,610,323,837,571,417,
948,576,718,174,900,038,380,184,828,453,579,212,516,406,206,926,189,922,032,
915,893,164,388,735,677,178,316,812,436,859,155,448,492,535,665,883,711,307,
140,926,838,244,898,867,849,031,437,697,524,274,315,500,510,728,773,364,382,
324,053,872,460,018,084,424,137,384,503,956,464,257,251,206,526,850,622,202,
273,388,642,758,885,546,983,280,567,534,613,541,152,156,990,395,432,921,255,
186,010,305,994,874,876,784,432,866,909,368,360,059,683,676,102,478,979,634,
838,057,182,400,598,902,753,765,082,817,303,775,349,486,492,104,662,631,343,
014,320,314,734,962,524,160,517,153,234,446,328,053,907,651,707,282,861,025,
598,434,310,088,180,935,128,721,924,442,669,110,771,385,427,053,291,049,932,
274,436,478,744,445,606,619,906,448,464,166,454,896,433,179,498,011,276,925,
254,047,244,977,210,031,896,708,925,003,987,971,591,250,824,144,783,098,702,
805,459,913,130,065,053,048,454,096,223,782,851,500,346,940,327,992,587,253,
154,094,653,802,369,191,865,720,516,167,781,854,359,544,690,270,360,881,928,
464,289,491,824,976,088,002,983,852,505,586,877,900,092,452,762,161,647,321,
281,775,414,139,338,320,721,920,079,700,570,926,856,805,313,517,345,250,085,
694,290,823,361,648,172,425,087,417,268,252,332,787,699,914,881,464,673,973,
336,081,924,421,134,641,383,161,187,648,796,967,784,351,989,948,614,871,592,
639,890,168,603,984,483,755,083,463,848,161,198,213,313,776,828,521,142,232,
193,892,827,396,237,413,329,267,953,259,091,823,095,763,537,067,748,578,588,
464,023,225,636,541,021,252,691,065,217,471,497,241,421,050,105,765,047,696,
113,186,275,375,523,202,696,890,641,938,994,128,191,202,560,283,711,447,072,
953,617,102,274,896,944,655,747,440,058,906,152,066,973,186,121,572,129,285,
934,844,397,415,762,419,297,232,555,389,781,032,550,787,330,246,510,739,734,
933,917,175,923,759,431,560,997,423,366,624,252,480,813,907,704,244,274,350,
804,931,739,085,777,014,186,247,652,426,128,464,364,461,199,227,540,048,510,
663,319,766,985,835,479,261,670,055,354,214,929,013,617,962,111,430,530,099,
341,214,309,184,082,726,473,093,393,214,801,144,509,150,550,996,061,000,518,
301,390,341,370,890,053,448,190,907,322,735,297,694,737,641,993,111,967,406,
885,672,426,256,258,846,200,299,412,045,511,084,618,258,422,184,948,495,063,
932,128,934,727,248,297,462,443,198,623,170,696,249,810,179,156,353,807,267,
305,275,538,074,379,620,179,224,343,972,549,169,911,565,805,624,726,165,450,
373,488,811,432,206,060,272,171,398,833,201,419,316,792,371,026,529,507,085,
995,760,495,348,304,517,119,219,911,494,589,521,473,072,304,133,615,459,163,
667,855,663,790,621,713,987,283,440,727,321,398,681,688,332,639,450,352,695,
265,772,896,532,056,291,545,943,502,971,725,064,442,883,262,304,655,356,547,
094,019,310,839,089,410,158,084,878,733,580,050,810,934,282,414,209,854,896,
289,400,980,774,155,705,820,845,826,768,806,503,360,968,868,857,071,484,646,
550,685,774,167,464,589,989,229,288,618,904,714,448,314,146,706,347,263,030,
797,027,761,758,837,504,449,351,235,105,867,511,058,394,859,678,260,930,224,
004,622,610,417,753,721,057,429,858,246,451,240,296,611,887,917,746,650,477,
451,665,450,174,211,245,110,738,488,547,935,051,767,574,034,131,670,109,552,
746,778,396,936,300,561,815,520,834,748,999,327,028,589,456,922,826,379,471,
532,019,361,196,818,143,638,484,101,461,960,343,583,505,629,843,079,350,092,
103,656,008,519,051,754,673,656,468,591,404,992,676,150,424,325,252,139,600,
578,955,073,227,208,360,354,117,096,902,919,007,838,717,793,742,014,287,440,
699,707,103,989,932,712,433,604,609,706,731,140,025,552,131,428,066,151,486,
663,834,414,854,834,030,458,087,360,043,001,201,580,511,381,679,078,359,141,
836,445,038,409,155,532,504,892,873,016,167,608,604,101,182,836,489,347,644,
167,355,159,274,538,583,064,242,296,637,885,137,428,649,741,752,873,044,429,
849,943,817,298,717,502,579,132,296,326,945,116,629,611,258,178,881,235,141,
979,415,541,526,738,968,871,584,235,976,817,692,451,600,700,324,545,250,965,
071,533,560,257,374,274,012,336,876,353,442,724,323,942,376,121,865,714,193,
176,690,953,021,936,300,688,518,506,091,125,410,518,658,294,222,182,400,501,
176,579,362,515,234,157,704,781,942,867,148,845,450,833,723,609,910,624,921,
990,603,720,993,693,194,652,371,776,631,014,382,173,000,742,285,545,815,004,
193,798,952,698,558,003,055,280,596,970,405,357,618,304,780,966,936,316,023,
939,330,605,313,217,160,144,066,498,243,937,763,785,632,257,806,573,285,748,
549,197,232,928,246,600,393,306,966,694,315,271,409,941,754,677,307,497,406,
158,020,678,020,825,730,187,444,048,857,478,440,863,194,090,041,797,268,615,
994,010,850,283,386,664,502,242,898,840,771,140,897,403,194,446,401,781,053,
530,938,093,512,003,379,760,988,616,107,240,386,802,522,686,204,563,257,487,
489,695,568,576,327,775,885,093,560,255,376,153,278,798,641,911,102,070,863,
686,405,358,740,376,398,462,543,303,787,377,531,524,943,851,318,491,418,471,
740,833,958,819,204,603,773,251,249,183,528,513,289,632,580,700,418,603,570,
012,519,479,187,047,063,670,960,220,888,535,396,352,714,766,777,322,350,085,
605,378,161,195,163,633,196,134,802,787,418,621,907,883,654,793,289,199,095,
508,326,114,760,298,757,499,165,364,495,669,538,969,715,164,167,092,932,397,
528,418,034,627,632,539,722,813,371,625,708,058,299,897,576,002,117,791,136,
813,218,437,419,431,815,849,883,350,533,377,873,247,263,045,876,771,525,927,
440,082,157,232,057,057,318,314,532,929,676,582,909,966,168,036,597,095,231,
086,341,536,956,628,463,545,885,399,505,306,259,342,401,374,169,814,082,786,
432,067,088,549,030,459,771,921,515,444,117,090,626,452,074,387,770,736,397,
805,808,497,126,397,601,272,437,722,975,327,888,883,803,072,418,843,021,866,
052,715,410,551,901,933,922,835,466,253,410,816,596,570,654,369,020,064,356,
620,922,066,663,320,850,663,322,933,449,162,176,242,393,765,777,064,291,616,
598,433,070,566,248,321,529,764,562,270,780,206,467,325,603,390,162,017,079,
305,631,543,334,403,284,913,269,783,773,186,075,587,020,543,051,647,502,838,
950,414,189,082,183,858,443,899,427,484,738,068,600,792,582,681,713,196,888,
621,382,190,868,720,667,666,282,744,754,832,198,907,899,365,993,396,702,687,
051,573,752,087,795,253,931,557,725,864,389,911,330,200,620,612,585,547,206,
775,945,284,554,698,842,661,301,735,550,070,146,699,020,902,273,964,679,589,
308,749,924,901,667,639,626,112,621,952,035,802,835,873,791,228,482,405,332,
659,217,169,583,900,886,927,811,141,022,232,599,900,584,962,494,702,778,748,
320,364,143,335,390,728,771,618,136,142,413,903,781,767,547,947,033,762,398,
992,536,993,691,618,322,538,974,630,988,171,258,808,627,829,378,943,189,404,
864,298,261,648,981,226,912,938,479,164,914,676,231,319,306,939,841,094,786,
462,050,858,165,027,686,380,450,102,724,391,133,545,986,963,216,711,706,458,
364,679,252,906,134,132,429,781,048,844,872,844,194,522,374,789,907,138,606,
801,026,356,723,906,565,029,999,561,372,843,456,667,545,761,353,395,577,170,
826,163,985,805,026,573,733,946,715,125,561,108,310,768,977,612,866,525,193,
865,185,748,092,284,897,292,281,266,115,770,547,534,195,516,433,957,172,329,
235,962,310,081,127,514,745,002,281,654,416,112,573,763,738,627,190,691,546,
467,641,553,308,188,893,359,187,035,342,675,275,709,291,609,252,091,985,821,
390,710,533,931,698,937,254,033,664,745,113,917,841,936,890,505,700,772,238,
846,678,916,629,889,986,283,839,582,569,479,193,446,244,893,684,397,258,099,
094,295,485,452,513,568,233,548,988,501,501,241,065,835,260,312,640,922,429,
700,543,652,655,792,026,069,718,036,788,676,636,549,166,854,501,416,573,377,
214,028,528,057,381,047,262,649,066,450,831,418,565,534,567,678,978,209,826,
438,036,784,587,497,463,827,212,922,304,350,277,731,027,394,826,054,750,490,
695,283,993,084,674,916,111,825,524,613,328,669,624,256,995,452,253,640,422,
861,245,480,143,650,254,612,827,679,971,533,740,986,751,257,768,865,407,731,
650,720,826,190,596,653,801,897,048,537,140,416,355,529,629,351,297,946,716,
970,961,385,874,355,167,928,511,733,062,758,833,307,431,454,957,252,006,064,
543,283,014,703,832,350,027,802,732,442,742,216,971,943,103,258,047,810,934,
233,926,279,951,474,862,130,613,049,475,110,943,815,968,040,234,271,572,526,
269,825,013,543,879,794,969,000,658,869,865,931,999,651,154,585,718,200,135,
130,601,955,249,777,749,456,851,728,961,860,964,982,154,101,183,451,661,175,
676,355,427,705,544,841,958,737,441,428,475,997,387,313,700,996,115,108,985,
573,686,435,202,680,215,914,540,604,737,464,094,035,556,654,025,767,065,019,
868,890,420,133,716,906,298,276,320,720,004,493,562,478,008,196,608,269,717,
817,328,033,415,794,647,503,026,380,282,597,753,741,196,717,413,721,458,897,
482,297,075,486,485,375,412,526,841,857,936,246,641,085,237,521,105,991,871,
744,355,950,153,586,228,276,352,162,256,677,662,546,624,824,546,952,147,054,
788,198,433,517,084,428,721,228,423,526,342,586,098,361,553,660,627,604,028,
358,852,219,301,241,693,620,557,739,396,133,993,611,997,986,633,605,422,527,
387,984,299,220,553,065,704,092,380,248,226,011,954,235,755,534,995,277,995,
434,763,500,952,287,217,525,826,580,474,887,697,825,022,817,642,316,016,370,
735,779,454,358,718,961,424,046,600,814,372,853,618,141,604,955,174,209,238,
186,901,164,218,208,466,956,759,117,612,485,605,798,383,260,346,192,111,743,
647,560,667,982,802,598,824,423,386,580,140,177,489,181,034,185,873,785,770,
449,339,359,204,388,473,682,389,921,628,165,862,425,613,478,432,840,932,612,
050,976,956,492,438,728,772,129,938,106,063,130,344,419,744,922,716,319,541,
218,920,200,248,388,721,018,856,863,949,371,265,075,610,279,775,585,398,695,
369,092,807,496,799,983,308,254,009,781,990,120,684,306,061,542,601,988,575,
551,815,627,715,514,211,793,230,574,339,964,224,101,093,000,646,480,108,893,
625,995,699,313,416,235,466,987,079,581,687,794,019,213,593,975,589,237,677,
615,978,552,627,561,081,341,131,701,706,347,673,763,899,461,703,755,547,443,
245,767,738,578,184,141,383,449,815,720,747,882,552,693,574,210,292,188,855,
125,902,056,875,049,716,564,865,350,659,596,832,738,429,890,791,960,392,078,
372,349,528,293,811,631,885,083,653,296,154,678,885,350,747,975,661,300,103,
681,615,289,483,089,217,523,484,530,813,530,749,569,373,866,329,531,095,907,
363,529,729,128,357,772,178,815,328,725,123,576,878,592,874,074,556,320,843,
759,417,652,686,588,360,495,880,528,437,720,101,345,341,292,561,091,812,714,
678,607,092,565,503,973,689,516,410,334,320,043,508,837,659,421,728,411,383,
016,861,475,477,319,857,149,637,677,336,879,654,077,251,789,848,005,411,961,
086,766,324,705,856,380,703,706,535,976,336,152,668,242,085,878,138,897,420,
561,987,770,700,179,461,332,846,127,854,386,003,966,394,085,483,428,953,268,
681,715,932,689,808,646,433,581,713,203,209,522,165,195,728,080,210,962,274,
182,973,337,843,105,807,238,916,276,480,548,789,841,528,816,299,103,330,421,
075,889,662,949,068,899,345,814,369,059,527,728,500,937,704,507,765,229,768,
802,547,912,144,495,977,304,619,871,126,294,370,768,289,547,998,151,028,756,
029,643,486,650,321,860,217,071,443,144,392,384,604,440,992,212,385,691,006,
369,431,662,867,980,887,355,257,214,969,809,928,599,076,002,015,250,810,819,
607,580,079,763,483,167,400,658,152,854,370,234,321,321,550,448,017,749,796,
507,363,025,597,826,518,543,693,303,515,316,416,328,051,061,735,420,723,406,
196,863,095,086,373,770,342,537,992,344,782,509,039,712,721,080,584,262,185,
053,055,481,222,531,056,524,106,214,875,622,258,649,299,480,812,383,143,442,
422,608,198,214,579,486,918,449,807,868,643,822,609,070,006,588,599,618,813,
556,819,395,109,131,579,043,253,432,437,269,240,816,477,833,493,491,605,815,
356,324,069,914,302,057,541,516,318,487,154,379,102,842,477,736,681,135,938,
625,002,151,905,400,866,836,432,803,290,909,206,496,237,306,381,412,049,990,
171,360,513,640,131,536,744,721,785,242,687,054,247,092,401,194,575,734,753,
247,594,174,165,247,212,948,241,994,818,272,085,198,563,257,806,110,658,404,
072,098,537,395,508,044,098,154,275,924,234,847,833,580,365,883,843,478,380,
023,039,007,196,724,893,959,522,379,327,071,564,352,658,183,455,337,950,995,
338,100,482,562,199,776,047,048,621,787,280,630,131,988,321,552,746,668,647,
663,542,268,770,983,476,234,721,987,911,503,595,026,516,699,082,620,034,799,
099,886,872,880,248,081,677,158,385,981,075,380,779,518,135,694,493,681,023,
229,633,836,306,441,443,681,005,452,677,511,237,906,229,596,071,562,252,416,
036,420,496,582,051,773,565,706,772,701,021,349,754,109,854,639,131,615,467,
295,933,616,672,310,645,935,729,472,380,794,326,013,317,836,619,098,659,258,
047,113,866,672,335,623,004,138,832,594,715,482,703,144,017,240,880,190,854,
091,809,644,211,358,278,464,589,644,070,709,362,889,280,677,964,549,915,847,
277,683,589,457,856,731,152,602,537,592,819,553,966,574,671,610,137,338,537,
767,193,730,677,015,399,887,135,957,694,831,487,000,257,393,760,603,508,190,
692,930,409,408,370,777,603,540,549,516,513,473,706,179,999,468,666,831,346,
823,986,411,836,336,824,814,500,974,294,883,207,360,968,682,980,295,544,346,
994,681,368,992,040,526,294,162,405,857,894,819,796,333,112,147,176,541,044,
689,027,762,546,417,566,357,984,646,298,153,620,382,165,085,601,608,853,284,
771,298,912,250,082,888,007,763,689,684,919,118,839,574,213,362,678,928,749,
241,718,723,372,965,961,908,465,947,921,135,093,169,763,635,862,643,152,419,
003,764,477,592,931,489,692,392,029,902,578,537,659,585,291,940,874,523,188,
021,323,084,451,079,380,944,059,727,032,431,843,755,207,233,052,087,616,355,
840,189,105,033,026,908,475,331,237,218,578,742,280,083,750,910,296,788,670,
764,439,134,575,506,611,757,439,599,309,980,227,825,776,946,412,135,832,875,
492,935,348,834,620,076,032,037,098,818,434,951,348,094,233,542,903,550,665,
020,984,048,530,092,856,176,332,764,280,023,817,737,128,553,725,671,901,659,
440,294,957,964,433,077,349,449,825,211,214,962,607,730,258,600,546,026,269,
913,268,369,418,911,323,282,983,291,534,908,131,827,631,137,976,350,255,528,
015,492,902,481,275,112,660,490,816,644,714,167,473,779,623,770,159,714,243,
494,479,005,198,243,905,775,053,667,116,876,102,879,249,263,858,158,822,245,
751,844,323,634,075,494,608,642,243,628,256,645,148,722,884,730,829,292,670,
555,799,897,638,136,746,149,525,844,063,823,256,381,319,243,958,334,836,011,
007,374,913,812,378,110,107,167,425,094,056,851,006,794,211,000,491,244,845,
986,353,543,406,051,406,684,164,790,789,825,007,533,035,512,862,188,630,740,
017,142,361,223,383,131,845,819,092,875,281,531,976,320,442,291,523,012,403,
402,615,949,609,026,308,941,013,233,357,852,471,377,209,058,244,067,752,778,
451,865,300,487,226,522,612,956,319,732,230,476,359,497,460,060,428,421,652,
496,444,039,192,279,977,714,538,752,971,625,950,584,295,270,224,769,988,647,
580,060,121,729,451,227,751,133,243,820,652,248,705,014,577,873,917,524,880,
837,817,485,038,564,771,232,855,465,015,878,263,593,135,384,019,889,372,504,
682,931,376,205,099,218,413,517,085,388,070,998,333,369,993,748,611,337,242,
771,213,589,825,285,449,266,095,128,244,116,075,724,366,561,462,122,433,472,
629,676,087,688,674,306,745,561,588,510,122,211,276,531,597,210,384,658,864,
421,168,517,582,263,415,467,098,069,608,084,287,801,247,377,465,439,664,400,
847,004,486,762,910,761,871,466,510,938,640,377,102,464,063,388,020,004,261,
871,591,955,423,674,459,046,753,710,640,453,939,597,013,006,212,085,219,157,
306,006,109,214,605,425,658,639,342,082,041,125,374,541,923,206,074,713,506,
322,993,858,151,565,379,196,449,204,902,598,090,302,355,307,957,860,396,944,
776,554,416,394,261,943,753,572,573,858,116,001,527,390,360,009,222,431,553,
408,539,291,909,838,128,802,168,473,380,048,017,960,907,686,069,204,011,707,
903,841,837,067,168,798,378,037,663,948,635,331,035,834,419,470,825,822,185,
639,069,451,831,462,145,811,837,993,308,038,762,304,498,056,069,032,487,262,
387,022,712,069,738,057,709,366,151,482,596,295,147,420,781,816,418,003,633,
923,777,703,418,942,110,698,367,254,315,620,088,783,196,736,745,360,817,754,
397,917,105,246,206,368,177,492,366,989,306,298,799,285,881,354,566,760,412,
850,560,308,302,670,182,509,488,558,624,749,325,891,060,279,876,167,393,258,
700,175,656,447,821,690,694,744,144,352,125,488,208,740,067,817,182,659,187,
118,380,033,355,667,655,592,381,479,929,264,503,845,862,186,500,325,362,484,
800,565,992,768,028,302,846,152,143,829,670,371,130,341,726,174,430,354,968,
007,722,965,609,995,511,067,380,069,812,178,301,229,768,327,867,736,531,622,
111,822,770,110,428,525,514,636,381,405,360,937,583,976,539,657,761,311,649,
549,887,823,661,750,155,480,587,658,554,658,961,721,989,426,752,062,330,667,
794,760,811,556,205,036,670,184,696,067,516,414,622,260,975,200,958,374,804,
503,268,095,001,233,560,047,674,941,238,917,268,175,336,697,542,770,661,127,
879,875,383,820,810,267,086,819,227,668,388,905,503,231,854,125,017,226,835,
768,589,199,151,467,690,199,606,104,719,684,898,461,887,728,544,922,720,807,
342,539,926,629,264,705,425,176,479,900,133,666,273,960,514,880,888,744,460,
921,886,614,848,922,453,631,592,180,199,194,897,592,228,413,520,594,340,858,
638,438,751,014,303,666,306,292,664,320,325,929,421,932,639,651,944,763,670,
269,415,163,049,454,073,859,213,241,935,106,799,998,859,132,415,640,158,882,
738,540,132,961,113,975,598,987,161,052,898,893,544,346,847,453,496,042,043,
802,934,036,297,748,114,181,940,974,011,692,035,049,999,913,671,964,516,851,
220,662,609,285,653,185,126,009,804,512,358,355,813,289,033,665,395,113,039,
797,104,573,167,762,415,992,115,278,297,041,133,624,052,795,544,703,590,733,
218,810,885,204,949,966,125,437,970,654,002,692,976,006,730,744,426,564,846,
347,889,024,917,425,820,979,482,866,472,236,605,647,948,926,997,836,931,526,
392,727,476,167,183,231,038,701,896,122,911,026,488,407,564,548,842,231,764,
975,108,062,836,993,905,041,451,642,745,201,011,833,549,624,829,632,712,088,
721,910,082,500,399,913,089,181,205,128,043,854,295,344,038,625,782,588,383,
230,971,633,729,655,613,793,665,666,113,449,457,420,089,538,313,897,782,464,
171,790,191,380,154,433,347,099,763,281,343,036,181,006,846,004,414,126,189,
943,415,550,194,677,955,533,374,765,942,391,999,462,944,973,990,730,816,059,
802,087,653,554,184,699,243,048,767,113,539,868,885,628,362,464,859,523,257,
332,994,687,619,173,222,609,076,857,404,013,134,564,614,292,011,355,567,634,
332,359,929,823,198,557,227,892,169,364,563,705,075,640,452,850,247,526,864,
035,981,946,844,814,242,867,410,656,612,063,941,730,438,494,779,946,524,968,
574,877,143,916,074,046,111,327,806,689,708,248,006,550,015,271,414,576,453,
176,948,944,699,549,054,524,857,217,821,416,904,643,957,127,034,386,647,516,
734,107,781,830,227,869,029,237,615,594,243,769,286,832,757,653,314,862,941,
665,175,111,958,689,896,263,221,731,714,414,839,105,681,402,465,144,986,697,
940,941,098,218,187,381,004,585,578,761,919,160,503,553,797,196,146,700,812,
802,071,094,580,737,664,410,624,212,826,498,125,712,862,676,899,119,443,953,
654,656,077,614,390,174,016,866,986,351,494,116,310,110,770,595,265,832,428,
465,566,820,884,147,000,279,778,666,147,222,211,888,057,164,915,273,698,969,
174,340,485,595,452,383,561,902,537,861,938,719,363,602,026,632,128,893,655,
910,176,907,834,826,670,142,332,662,719,774,778,097,708,153,387,226,326,950,
272,117,129,366,911,710,261,689,266,904,218,720,782,298,684,678,943,898,137,
741,465,151,484,902,510,522,753,988,766,390,644,141,851,031,487,620,343,720,
013,545,277,039,526,245,533,628,220,876,473,932,120,344,509,256,402,031,067,
323,093,229,623,857,430,415,533,393,201,360,903,466,227,670,656,580,371,968,
380,010,041,998,746,497,386,853,355,320,579,470,537,681,350,509,136,582,806,
806,210,406,615,258,407,334,192,315,343,031,264,489,998,519,036,750,321,273,
072,237,439,279,166,466,779,346,759,278,543,881,606,373,805,809,308,469,421,
662,555,169,124,854,312,248,124,296,564,581,630,743,321,637,038,732,562,437,
805,463,327,672,011,269,410,624,043,589,165,153,151,254,300,457,876,027,907,
763,137,347,348,162,794,066,726,345,968,862,890,724,913,050,900,090,566,832,
891,081,863,540,151,964,381,960,751,559,076,666,909,491,457,538,072,824,743,
183,326,982,815,463,351,260,703,945,713,017,070,521,096,127,984,548,984,498,
037,001,292,799,914,061,546,366,196,822,862,017,982,486,545,563,599,123,272,
425,303,296,906,206,549,471,032,015,447,567,482,749,151,746,230,254,203,128,
748,973,011,767,793,215,548,281,834,326,652,344,184,284,172,264,671,206,970,
670,330,167,119,647,937,892,400,022,840,741,085,934,949,734,506,338,490,627,
405,052,650,333,994,916,277,224,940,298,144,810,031,492,127,019,553,523,300,
599,366,725,392,019,000,918,508,832,928,507,055,724,896,888,371,344,167,088,
378,793,414,304,900,215,529,636,517,769,930,977,134,936,597,663,311,895,246,
286,251,472,002,678,293,398,288,229,770,248,600,085,872,179,760,819,428,811,
094,819,068,712,083,736,157,816,279,150,547,393,326,950,695,969,062,556,957,
097,114,308,493,682,629,753,165,764,279,210,973,112,954,067,939,814,709,248,
095,555,251,541,267,303,334,115,131,960,697,649,337,341,501,073,747,179,586,
095,719,846,192,718,753,152,639,459,779,991,812,542,046,622,511,194,330,833,
438,845,824,035,037,567,756,812,210,617,716,742,725,817,469,245,132,549,789,
736,134,899,260,125,868,757,738,206,420,623,051,144,431,061,010,326,927,014,
934,152,021,015,136,336,093,263,517,168,559,813,557,572,119,755,888,760,345,
743,855,743,189,192,654,781,874,042,592,503,554,262,836,364,706,853,924,033,
878,089,915,502,602,304,764,732,173,258,754,450,787,793,762,240,783,673,124,
847,842,362,302,834,965,158,784,162,925,017,768,361,231,069,806,974,567,224,
060,491,585,952,041,493,724,700,840,937,867,133,165,666,857,914,070,011,130,
630,210,347,402,166,199,026,627,300,061,852,543,367,877,424,801,354,720,351,
185,821,318,937,760,960,975,844,784,328,864,759,239,960,597,852,858,060,274,
023,961,479,755,771,421,643,501,958,271,164,952,613,498,664,284,179,870,299,
285,682,828,331,479,786,297,152,735,389,025,422,717,637,972,887,328,293,404,
158,259,401,987,779,417,865,712,257,034,726,939,168,846,663,996,846,279,561,
468,915,739,701,107,558,550,833,754,020,556,233,697,613,986,971,264,464,735,
019,177,403,168,050,396,210,032,483,994,531,327,744,724,070,936,441,347,212,
047,269,093,087,658,977,238,286,010,613,478,559,307,929,796,886,059,217,810,
557,984,345,653,763,175,918,059,507,402,687,922,712,160,264,214,257,914,719,
924,228,204,842,125,322,061,490,453,457,235,714,924,115,216,480,024,999,330,
829,987,287,743,418,651,832,735,414,180,256,251,587,861,621,496,858,566,191,
567,424,118,563,929,084,793,306,923,562,914,357,350,007,581,687,210,789,340,
630,837,616,746,631,434,086,150,818,154,413,214,612,688,749,836,194,088,541,
406,470,933,974,329,812,680,014,163,615,453,763,414,101,902,247,006,344,060,
724,377,602,916,963,402,985,372,547,187,688,148,964,380,391,944,229,314,074,
601,027,763,035,802,453,512,729,011,613,841,856,566,441,683,094,272,940,232,
751,592,136,031,332,753,898,747,541,739,252,397,556,748,882,965,714,604,983,
305,787,493,009,282,707,443,799,949,911,788,410,018,674,575,393,271,591,392,
418,327,746,389,263,205,933,165,466,487,712,248,736,047,908,599,077,594,362,
234,255,073,092,355,389,722,768,644,082,613,708,597,926,241,735,401,580,510,
189,855,611,750,218,760,645,292,702,243,286,433,529,941,999,473,057,702,652,
800,123,255,662,736,652,148,070,371,836,402,591,408,646,849,232,881,478,827,
951,865,931,546,884,346,848,784,286,384,433,728,902,722,854,449,971,628,099,
682,601,105,221,208,062,299,195,556,344,945,996,906,219,989,001,323,960,406,
217,368,060,754,935,311,491,846,837,569,662,548,034,905,563,653,409,882,832,
880,525,366,472,694,164,643,454,844,749,667,065,370,098,039,448,850,972,409,
989,935,135,016,307,809,280,371,643,333,522,287,857,138,576,809,143,103,300,
998,858,182,184,319,434,099,285,016,792,462,190,940,540,277,537,361,046,381,
809,364,238,315,830,002,056,431,618,004,541,212,712,090,270,281,283,478,472,
111,985,351,932,911,566,332,623,269,456,289,586,611,206,400,302,423,235,736,
944,208,165,710,929,094,357,677,598,440,897,771,708,570,884,715,605,863,069,
494,289,567,899,039,360,396,824,024,347,467,454,236,649,127,135,984,988,321,
363,334,702,642,797,191,730,225,975,850,990,941,351,156,399,296,190,715,792,
063,103,464,070,488,837,625,831,266,960,510,958,799,956,019,807,646,856,588,
036,868,088,828,878,295,053,074,546,094,999,801,730,464,078,920,854,462,772,
123,656,348,149,754,115,229,854,255,391,741,588,901,971,775,350,862,197,535,
007,459,772,805,135,077,395,699,111,202,397,625,448,144,128,448,132,278,717,
419,254,533,467,442,107,791,031,010,840,409,333,272,723,887,166,458,988,563,
162,076,530,312,895,023,359,051,839,738,851,087,998,012,378,912,213,062,598,
005,241,576,244,124,454,285,231,396,805,045,513,548,710,139,719,133,358,212,
222,582,932,561,154,652,274,680,261,687,411,494,212,086,461,445,209,228,565,
646,782,845,386,998,397,051,010,130,620,695,036,127,184,645,431,366,869,686,
998,508,663,903,103,043,132,762,655,744,615,086,002,159,167,280,515,698,287,
603,892,591,079,644,216,330,311,063,426,568,252,699,797,412,322,385,738,395,
152,942,638,137,213,769,442,907,608,847,024,169,390,040,439,163,069,583,073,
224,507,857,868,135,011,437,248,520,623,327,401,432,406,816,107,526,559,020,
605,493,552,511,510,760,885,662,012,723,902,767,757,828,669,852,775,084,478,
610,920,664,959,727,459,751,976,845,116,718,837,526,753,441,979,418,324,443,
434,414,484,939,005,637,360,963,677,269,709,375,443,620,906,587,725,831,958,
167,803,773,796,660,740,921,085,770,408,997,768,152,787,845,374,269,000,930,
101,576,447,413,752,907,186,759,915,464,391,649,522,584,236,454,331,405,355,
796,581,439,284,857,862,585,383,814,407,928,765,457,187,013,361,959,487,929,
195,278,487,982,632,128,552,971,138,898,986,254,567,266,411,010,344,434,104,
278,953,016,086,969,155,019,593,779,982,335,049,913,528,951,955,868,394,049,
984,232,831,905,178,797,122,273,439,912,202,916,445,313,306,502,356,786,280,
612,120,782,618,859,700,278,829,654,753,299,605,135,417,531,517,343,397,315,
495,451,573,656,378,479,211,270,766,849,014,831,162,736,020,552,878,028,194,
457,121,656,774,005,980,545,698,600,941,552,209,280,737,378,791,009,060,247,
540,352,069,903,676,823,569,344,597,454,384,783,656,637,989,007,047,268,470,
622,874,464,913,326,259,676,975,555,914,202,313,095,511,521,709,658,091,045,
940,204,676,974,908,775,661,179,297,260,955,345,991,451,927,013,721,178,282,
652,293,420,721,930,590,986,857,464,766,335,329,942,971,759,659,858,838,613,
900,287,328,506,250,736,600,111,112,442,371,259,025,089,389,138,203,245,927,
827,076,007,504,537,739,204,252,952,700,064,363,449,539,760,715,602,014,780,
038,532,008,425,431,414,094,567,881,949,138,151,775,727,893,672,295,719,084,
133,878,632,111,511,123,194,974,592,119,924,305,893,521,661,705,155,116,688,
851,487,600,965,966,677,606,329,979,343,421,448,155,990,707,207,422,630,209,
537,080,408,483,946,924,950,968,319,071,230,321,287,899,518,216,691,816,049,
755,454,485,600,796,226,777,462,841,268,522,446,808,375,016,111,561,302,572,
676,920,898,560,941,629,944,350,512,004,007,482,806,520,759,634,540,655,625,
634,992,140,875,388,696,472,473,972,864,883,766,938,439,929,146,298,034,426,
056,001,583,293,364,303,287,056,726,263,027,325,502,061,748,323,359,406,734,
964,248,628,081,346,724,751,891,229,587,143,081,688,098,256,735,806,454,571,
684,182,089,016,862,356,010,184,017,565,600,204,776,985,074,937,655,343,187,
613,283,038,542,848,768,583,493,618,005,183,609,814,919,504,049,642,089,307,
621,176,598,263,953,473,897,059,518,101,049,040,754,987,843,878,584,583,054,
289,821,310,198,112,390,126,974,797,339,044,478,459,928,195,550,258,525,828,
219,106,082,351,472,854,132,348,472,209,143,651,503,083,889,597,734,810,187,
306,867,598,057,319,724,010,432,255,036,056,504,806,126,121,495,557,124,583,
200,715,171,120,607,077,524,818,359,164,391,756,035,077,641,358,204,360,256,
057,657,998,305,390,971,470,199,548,256,216,509,364,314,076,651,760,348,247,
810,710,023,006,564,783,264,056,358,333,903,642,886,897,326,533,138,402,488,
090,949,982,150,733,879,387,958,314,730,779,956,023,625,582,435,022,222,218,
630,123,539,636,720,630,365,045,993,558,886,123,390,057,606,646,541,531,476,
055,916,224,683,066,175,340,538,327,023,053,515,430,371,317,787,127,732,567,
008,873,717,927,231,442,321,477,550,180,779,403,161,210,589,469,637,025,692,
862,493,633,355,928,620,354,042,238,904,115,171,436,193,383,493,004,857,870,
767,898,420,805,813,994,876,766,958,178,021,937,387,267,016,857,614,272,300,
193,607,001,230,635,650,819,002,653,280,919,335,534,028,734,448,244,054,118,
171,588,365,151,443,793,686,277,656,748,461,076,805,125,800,991,885,530,335,
798,871,010,026,203,508,700,842,553,983,615,220,508,157,724,873,448,900,407,
453,911,867,760,154,731,640,447,795,150,339,904,328,327,616,439,029,882,719,
506,145,867,929,966,266,311,703,723,900,918,365,543,524,531,853,137,432,184,
752,943,192,218,270,410,415,310,479,165,876,779,927,013,690,942,768,148,546,
354,315,481,513,746,387,169,388,298,890,625,568,471,360,359,834,488,766,146,
659,337,611,883,443,755,352,799,570,237,144,134,494,930,032,043,341,804,295,
512,213,667,551,359,403,720,429,980,861,811,474,288,408,681,082,041,516,306,
609,818,426,991,706,743,400,257,475,176,153,487,190,626,722,862,072,890,265,
550,852,918,980,580,983,614,805,749,803,525,708,555,739,961,893,537,177,714,
390,411,705,519,424,773,522,197,249,468,475,855,399,630,316,315,079,190,914,
880,664,829,028,010,122,458,807,890,361,334,384,531,891,541,240,015,636,076,
978,054,675,494,508,059,001,598,973,923,568,546,106,810,274,021,601,310,801,
026,356,427,791,154,907,156,836,894,277,183,353,179,108,966,782,957,389,174,
732,836,962,926,208,928,056,062,216,686,115,944,161,320,859,961,390,626,689,
111,038,683,062,834,707,676,244,417,283,078,853,393,054,070,891,699,231,900,
607,732,091,920,942,592,181,688,896,135,147,022,433,609,434,671,666,943,949,
321,592,278,313,481,629,186,830,114,770,606,159,054,692,105,842,343,935,543,
488,283,852,856,761,613,799,724,461,741,235,463,428,291,556,884,730,714,223,
320,746,722,844,625,919,399,912,074,863,810,596,278,304,175,220,412,902,461,
459,438,474,993,260,356,042,986,996,972,669,556,720,308,675,300,520,180,070,
673,238,517,420,767,964,709,842,785,042,028,122,902,003,764,297,933,694,502,
104,700,743,691,106,208,899,707,181,421,660,246,610,391,965,198,561,753,590,
040,181,056,414,570,825,103,726,095,624,738,734,849,001,701,243,249,621,677,
331,357,521,368,769,403,148,719,808,339,461,184,634,178,823,510,678,372,353,
936,260,821,942,145,828,464,856,027,814,115,153,882,813,999,697,118,914,603,
853,718,988,332,763,204,396,477,521,715,773,794,503,950,898,123,802,678,469,
996,185,082,007,174,251,245,048,999,335,960,233,688,811,324,293,096,294,408,
980,085,321,568,541,446,182,888,539,583,515,035,592,363,021,180,418,758,641,
998,922,116,270,704,342,554,428,942,535,705,770,340,650,866,169,034,019,115,
213,938,397,314,517,118,174,689,001,035,958,402,585,957,648,761,428,828,325,
595,605,686,862,647,345,761,414,179,163,907,097,236,726,206,536,538,480,623,
749,892,933,811,743,725,115,619,962,875,893,353,008,403,514,745,968,441,116,
071,997,135,533,156,662,415,285,109,494,856,976,979,277,482,181,254,977,316,
687,569,553,923,240,528,843,569,575,768,125,476,584,900,924,817,215,418,384,
628,055,858,487,402,983,457,781,577,050,252,100,098,455,062,073,357,738,114,
038,100,678,255,243,429,530,165,431,433,008,419,122,091,809,503,534,485,918,
508,670,083,429,754,403,894,662,946,300,124,844,302,874,142,822,856,790,896,
657,192,279,628,868,385,744,786,726,741,467,211,471,786,938,873,424,643,788,
619,723,304,176,875,212,198,983,312,410,304,964,152,096,773,402,213,586,536,
728,624,243,571,719,495,053,092,530,096,165,853,476,926,923,165,256,248,029,
385,569,820,496,794,105,142,423,626,603,738,467,555,942,062,558,332,636,533,
646,379,407,504,215,775,326,191,117,451,301,560,828,090,986,915,243,951,404,
370,914,556,931,442,043,787,474,958,453,965,664,687,012,514,827,323,458,268,
581,275,784,735,515,758,804,316,854,942,937,910,895,676,821,622,911,374,099,
128,083,125,696,163,601,792,828,464,001,972,483,075,904,849,609,795,980,351,
758,203,646,698,006,155,413,580,399,274,084,966,258,083,237,016,121,126,236,
547,353,486,299,519,871,021,054,080,986,776,640,220,042,568,251,300,008,584,
002,493,979,539,554,878,147,353,278,206,642,726,252,410,483,974,446,429,370,
373,187,738,475,851,572,742,914,386,198,384,589,627,054,678,327,692,540,009,
233,698,520,930,205,696,033,666,291,304,376,614,450,399,898,600,048,012,401,
527,368,392,177,909,531,553,796,010,104,087,620,156,892,348,350,189,922,617,
954,666,991,031,066,917,877,956,093,777,135,645,929,204,378,702,191,549,055,
890,495,766,082,759,234,376,155,060,357,080,784,664,660,459,647,397,665,444,
320,725,444,221,413,385,545,119,990,863,279,935,352,850,400,943,249,044,377,
288,782,447,678,001,405,416,022,028,181,336,076,218,183,657,679,916,913,911,
570,887,876,869,201,214,712,847,626,066,133,190,191,058,275,812,768,151,843,
926,242,627,076,522,929,336,657,221,534,143,401,511,008,448,747,965,880,570,
508,954,056,010,123,064,952,983,216,164,983,363,678,551,225,523,972,113,906,
769,739,139,220,015,433,638,963,227,303,699,780,232,453,119,109,142,286,222,
209,441,094,152,633,544,894,811,263,121,056,321,089,528,795,349,458,125,818,
105,992,109,997,145,242,201,104,060,114,231,065,504,974,012,619,512,188,206,
151,143,014,162,285,453,704,213,274,930,803,706,395,862,699,713,828,473,165,
745,885,127,571,494,092,137,197,048,406,984,464,866,884,351,428,849,451,540,
245,789,777,638,452,481,723,420,548,866,078,957,283,275,479,660,718,810,196,
873,833,768,754,060,044,465,574,147,542,354,010,806,171,616,028,805,467,979,
238,065,313,211,942,347,082,476,052,309,245,795,246,837,513,220,612,967,882,
486,448,961,810,748,838,122,610,085,247,294,568,279,845,594,815,577,622,255,
066,829,505,158,864,773,855,348,831,381,677,447,128,617,746,706,881,211,082,
967,571,316,606,321,630,495,762,477,752,971,978,610,568,592,020,549,055,722,
361,125,861,971,648,229,558,929,198,816,488,580,090,628,837,213,404,162,036,
252,806,665,932,529,984,388,114,092,082,794,741,497,163,292,940,132,500,566,
659,332,707,517,073,060,270,901,905,193,332,565,966,472,708,943,461,041,547,
893,175,763,241,805,956,647,663,213,537,616,096,977,790,914,621,693,194,457,
030,493,768,034,342,434,936,165,922,940,633,865,027,770,699,557,312,994,685,
774,705,662,495,533,019,167,008,624,787,516,570,692,286,675,771,893,599,020,
825,929,879,004,843,663,871,486,451,263,346,592,678,068,388,153,247,720,239,
729,505,444,889,770,845,327,597,469,736,961,359,663,048,713,772,095,630,939,
639,871,705,735,109,947,834,722,091,079,451,858,613,509,150,946,113,564,995,
465,764,233,476,951,524,227,020,226,873,427,322,907,615,269,168,651,639,733,
724,854,630,192,054,881,951,598,474,618,725,898,346,957,849,725,455,040,356,
051,709,888,205,030,140,124,632,805,721,131,292,898,299,921,622,343,953,503,
745,386,537,936,203,123,166,281,662,247,429,493,909,315,782,693,842,275,729,
908,023,760,919,050,165,563,313,980,006,784,849,761,938,866,287,344,461,762,
231,092,001,009,295,727,999,531,318,272,230,172,669,789,190,133,108,689,325,
357,824,084,862,958,667,334,082,950,838,456,802,571,654,285,445,255,905,003,
639,362,624,742,975,290,237,513,660,016,995,163,771,801,405,637,673,953,020,
985,790,218,776,857,517,926,321,796,244,648,754,206,076,593,012,201,272,051,
460,196,954,462,995,434,141,418,364,226,269,398,791,295,867,546,607,005,823,
110,874,351,072,365,267,354,249,248,091,554,365,972,468,414,734,570,416,360,
415,783,711,567,069,943,963,034,141,783,876,050,635,911,518,894,960,907,841,
248,604,148,583,174,103,697,804,390,221,899,609,487,833,107,355,768,440,343,
284,111,028,377,549,100,675,715,115,919,977,166,401,595,701,514,820,984,339,
780,858,922,420,807,365,708,976,239,156,319,639,119,694,981,856,393,221,259,
171,224,466,756,073,013,093,789,788,729,330,366,550,006,935,986,009,483,887,
671,134,644,075,665,043,044,331,058,627,825,247,651,536,037,030,488,972,530,
450,109,338,370,292,187,659,751,993,488,508,771,271,378,254,384,832,509,660,
259,486,856,007,547,320,961,681,596,255,180,040,768,678,213,700,776,702,042,
456,444,295,449,389,752,779,835,046,482,520,215,779,333,663,014,605,567,354,
468,154,881,074,785,505,083,814,179,500,197,054,072,546,440,348,414,489,823,
763,910,526,125,370,609,712,692,546,800,917,174,955,388,534,215,093,077,376,
792,463,953,064,425,715,391,423,633,936,193,153,671,831,980,106,351,645,554,
856,296,227,608,496,144,823,662,013,161,016,369,508,974,363,251,208,496,267,
288,246,410,388,965,580,497,057,961,369,496,365,044,236,877,777,358,690,974,
787,560,632,126,752,843,116,185,042,900,962,592,915,863,802,285,081,622,138,
259,603,126,360,615,782,735,280,824,106,810,780,281,101,044,440,853,225,352,
324,038,914,616,226,576,502,281,501,037,952,351,011,921,855,594,084,897,938,
004,009,759,213,859,327,410,805,437,846,969,516,773,428,375,513,558,255,600,
804,650,828,888,699,251,854,771,945,698,418,551,925,648,096,802,111,607,381,
840,101,168,455,863,813,276,794,851,144,282,624,498,609,432,010,272,174,254,
407,322,269,239,901,840,295,021,600,706,897,956,238,087,614,746,264,163,730,
786,144,071,163,822,539,773,530,720,714,965,644,794,291,783,569,612,289,784,
056,734,991,126,227,871,513,544,391,990,545,248,404,404,320,864,880,317,260,
593,270,076,227,124,913,900,539,406,014,209,661,711,108,964,583,299,092,849,
891,565,947,856,942,031,458,927,510,766,631,528,293,927,058,803,278,684,735,
421,504,287,573,184,647,756,670,606,038,785,113,089,354,637,777,125,591,781,
366,002,826,613,126,295,173,185,172,537,997,761,785,008,255,057,386,709,973,
293,104,195,698,963,858,217,106,547,667,231,550,591,439,668,312,451,473,467,
863,443,222,719,654,976,553,857,068,573,518,414,308,389,022,595,301,785,973,
407,302,321,104,399,094,788,062,901,857,574,476,919,208,590,408,709,247,163,
841,404,108,917,711,449,318,888,114,514,283,371,061,920,383,679,202,126,691,
078,119,481,500,136,489,643,024,767,784,076,548,674,650,449,199,836,432,276,
790,530,387,781,475,687,347,957,398,711,400,339,075,292,329,038,530,516,664,
775,104,881,771,864,861,967,287,748,289,644,492,090,193,281,037,322,913,524,
777,512,671,213,618,299,052,696,273,065,924,207,306,382,544,963,139,424,545,
980,198,459,133,751,321,753,955,207,291,906,404,284,340,464,509,365,884,763,
376,537,929,559,461,265,924,254,863,742,792,161,164,024,106,971,832,762,768,
407,370,366,960,614,013,311,311,101,208,476,238,471,493,711,818,762,788,617,
225,271,895,700,959,548,318,670,262,698,798,780,039,687,480,640,797,107,222,
596,284,079,471,794,072,496,130,590,818,802,993,592,854,841,623,407,475,658,
257,068,537,616,505,843,916,564,434,649,270,831,597,597,962,705,283,475,601,
400,207,258,221,706,583,128,333,047,952,198,987,107,522,437,545,584,327,313,
179,278,456,526,772,674,543,248,553,608,798,704,042,651,304,536,341,462,270,
853,145,776,886,367,843,652,517,625,399,721,098,966,648,115,292,535,312,914,
864,426,365,947,044,452,565,032,838,367,391,407,694,405,307,016,182,437,225,
520,779,442,401,985,084,598,836,124,234,992,939,508,410,741,032,482,883,862,
995,927,456,090,562,059,416,538,122,459,650,477,774,649,663,112,837,620,224,
058,584,012,028,165,336,784,932,584,727,976,700,976,449,207,743,532,324,572,
999,204,976,897,864,460,387,010,339,957,578,472,729,013,328,747,974,808,796,
748,113,257,147,708,417,780,815,435,597,840,135,725,917,078,835,362,573,857,
262,732,256,305,454,587,859,523,605,144,705,794,493,803,624,062,256,480,455,
454,804,889,727,670,574,750,208,346,761,445,356,987,621,689,442,844,090,919,
668,823,867,993,114,814,961,541,489,493,666,316,812,423,480,786,308,739,825,
606,596,431,657,458,869,954,408,076,820,058,571,181,494,438,416,354,746,330,
967,583,626,109,814,347,484,788,281,017,695,913,407,356,478,303,545,459,858,
084,916,134,531,613,053,132,274,002,486,462,610,463,316,803,188,488,224,171,
179,934,096,114,895,101,659,493,668,782,522,009,238,187,774,684,788,257,548,
352,212,560,576,731,159,522,360,955,640,395,603,024,773,797,444,678,034,458,
866,486,492,161,918,816,908,078,017,128,897,128,506,714,862,297,712,863,657,
678,902,241,255,698,675,576,528,786,401,385,899,506,305,442,556,688,043,168,
098,895,753,163,982,493,313,621,019,606,730,685,959,933,078,559,885,751,874,
311,839,572,218,048,617,939,519,039,741,463,421,970,752,985,793,142,064,268,
890,761,102,612,668,532,632,028,421,788,759,496,467,715,288,399,730,043,642,
322,697,229,221,596,574,087,372,663,506,355,485,928,332,164,815,456,326,779,
903,825,354,687,248,016,577,391,734,484,211,694,598,849,566,474,812,904,127,
138,338,252,634,391,816,410,450,239,935,429,647,312,906,169,706,764,555,942,
783,663,588,062,662,217,875,957,569,457,984,597,258,644,274,135,479,956,752,
859,805,338,332,578,219,538,303,514,048,933,451,407,337,422,713,412,648,369,
016,232,252,050,849,772,647,281,961,587,606,458,907,143,677,798,184,440,060,
760,994,307,378,314,295,570,758,883,189,376,092,824,826,617,430,730,954,898,
483,857,861,289,376,459,290,248,620,025,386,967,560,044,852,603,000,493,241,
178,265,093,784,264,409,245,151,214,520,744,425,308,446,950,743,908,856,668,
755,356,904,050,804,265,275,853,235,094,519,610,918,530,376,569,865,407,772,
841,496,266,913,528,909,965,553,731,698,028,685,481,260,641,922,178,592,514,
266,982,934,863,162,457,591,909,101,098,928,491,262,822,061,954,110,774,456,
944,225,034,559,344,352,359,569,669,763,966,030,066,936,869,302,306,611,608,
209,404,391,593,533,626,723,414,600,573,210,855,379,809,507,654,277,231,748,
959,076,636,798,123,835,802,332,959,610,132,984,356,783,782,350,435,002,083,
799,617,256,636,532,806,167,319,741,420,447,618,020,191,833,651,924,698,536,
822,741,686,435,948,162,995,251,918,271,417,923,184,178,338,912,906,097,644,
083,023,456,141,047,712,436,984,976,411,562,966,757,276,458,740,605,624,660,
790,039,730,059,878,614,739,122,581,404,465,533,012,645,132,883,173,051,946,
113,055,184,205,113,936,362,147,597,030,484,705,014,785,250,563,741,638,962,
802,910,302,604,869,560,492,197,526,812,221,032,846,615,168,980,638,034,955,
842,474,825,670,272,419,710,445,033,219,493,266,107,047,631,593,203,735,513,
070,710,062,156,345,824,559,026,415,758,466,455,750,943,426,078,688,913,016,
041,764,537,298,364,833,221,415,720,460,103,374,199,408,552,630,615,874,312,
762,326,407,079,043,238,518,374,986,600,891,154,325,284,596,383,610,849,618,
127,915,804,335,433,097,605,322,558,604,935,159,910,719,554,286,483,552,405,
598,941,165,926,515,138,580,934,768,104,909,761,392,959,943,231,991,390,421,
829,469,659,054,198,943,359,685,567,440,164,689,810,778,785,575,894,176,626,
243,644,260,936,825,081,449,675,443,952,190,405,620,229,049,731,084,976,393,
056,082,561,023,248,988,802,618,067,761,873,381,583,538,364,056,847,863,106,
175,540,101,363,488,006,061,699,512,207,920,768,185,523,221,086,009,124,072,
285,841,735,268,039,240,212,811,503,194,520,020,406,522,316,806,646,900,978,
796,892,187,254,311,139,752,317,660,040,626,530,876,545,155,373,312,811,867,
014,066,488,427,037,040,928,568,807,297,283,480,936,559,267,841,180,186,784,
904,889,561,548,231,231,996,479,381,361,228,004,217,934,681,821,523,322,487,
948,454,414,702,427,780,189,305,691,740,916,370,056,402,884,690,923,893,876,
987,520,031,413,064,604,970,482,577,787,515,016,106,316,549,680,176,522,490,
087,698,255,233,999,718,981,096,884,286,874,117,795,939,958,309,403,198,856,
934,548,333,602,954,622,483,309,469,896,939,488,797,619,942,048,264,082,090,
184,971,642,356,554,410,831,465,619,295,704,906,474,144,175,746,673,687,581,
293,890,850,546,897,132,334,071,938,031,238,251,188,855,584,115,847,949,397,
704,379,140,537,215,514,273,884,674,946,955,412,455,700,041,698,918,238,420,
549,537,285,289,357,916,918,315,409,718,043,945,939,380,954,705,281,244,990,
292,696,416,407,774,098,928,982,396,463,627,043,687,773,362,450,733,353,987,
134,943,950,416,185,357,888,295,530,441,986,473,133,068,042,791,665,479,920,
954,932,488,448,142,310,547,312,786,377,811,011,626,987,931,481,725,164,119,
883,635,426,306,980,307,125,411,839,605,905,811,652,689,196,613,613,373,990,
063,444,894,752,968,347,464,323,582,530,346,181,731,358,044,639,095,675,793,
760,226,326,046,335,881,710,617,198,738,178,115,819,535,756,416,002,088,412,
373,480,937,522,038,934,306,406,330,091,481,267,999,728,924,463,391,131,272,
746,961,468,142,876,014,223,472,639,299,840,954,987,921,127,609,288,757,414,
610,041,226,802,433,536,531,646,597,025,887,407,503,194,264,782,061,123,853,
106,894,678,475,738,795,538,720,624,022,598,292,608,686,863,869,102,993,667,
400,787,166,795,554,632,083,446,780,032,406,590,596,703,706,499,166,000,936,
232,761,082,687,695,616,724,804,421,387,654,709,317,022,754,411,715,053,843,
698,038,495,906,132,346,856,496,820,079,085,651,348,669,493,685,710,005,428,
473,678,819,688,884,216,753,690,265,391,189,880,147,004,786,747,690,353,806,
440,523,663,026,850,163,566,786,387,751,339,121,938,170,959,118,009,580,447,
982,808,340,801,522,251,374,589,233,575,456,355,551,910,171,188,960,675,347,
152,764,196,430,380,391,050,260,356,248,163,910,182,364,482,314,398,242,543,
436,565,446,628,724,884,344,364,653,504,224,999,794,640,792,195,679,319,303,
366,291,681,436,373,987,779,212,080,906,201,738,409,560,236,325,699,904,842,
418,024,829,303,593,468,331,021,204,997,585,918,892,172,794,014,726,945,411,
694,394,802,140,511,598,124,028,917,070,845,005,532,600,019,781,494,289,846,
753,424,574,770,558,492,840,789,397,212,477,231,899,328,693,713,055,913,590,
057,997,943,069,764,038,862,137,337,295,132,685,145,137,757,736,302,319,998,
232,389,233,455,445,356,625,380,548,687,686,025,977,127,359,415,206,986,286,
564,960,364,300,041,480,010,773,285,860,045,852,554,196,775,597,932,533,985,
398,505,755,840,397,330,437,855,133,617,633,321,302,063,916,867,262,849,366,
002,159,803,975,528,177,966,406,371,037,475,500,657,670,331,257,786,884,314,
991,072,089,082,621,535,893,677,728,639,712,713,201,126,838,604,277,922,939,
689,657,210,993,117,482,684,960,090,561,589,178,368,867,090,645,153,055,836,
011,572,398,486,159,426,385,018,471,692,941,833,743,007,131,990,209,306,348,
043,634,374,462,283,172,411,738,668,060,740,044,943,030,583,377,092,753,993,
483,638,503,503,025,283,442,837,523,073,031,006,347,844,477,475,063,840,273,
428,884,431,587,886,482,813,900,857,628,713,961,524,130,244,799,209,857,590,
263,814,584,054,987,449,048,862,150,858,267,673,676,113,450,128,388,284,808,
543,904,393,338,767,093,663,544,801,423,482,473,124,757,224,598,730,222,940,
405,115,653,877,137,799,006,633,035,812,019,275,463,280,061,340,124,841,358,
159,408,611,444,919,003,819,144,852,514,504,135,329,545,701,710,829,486,884,
975,765,036,591,527,480,782,547,156,047,878,467,927,639,744,138,297,854,332,
242,034,823,578,541,263,102,360,753,024,130,899,682,526,864,560,272,013,701,
623,184,539,434,922,522,864,072,027,763,342,024,587,672,281,444,859,252,725,
620,947,147,729,581,686,395,290,974,499,864,969,457,733,711,194,324,777,332,
105,970,776,340,181,722,382,853,485,406,222,198,306,432,176,106,070,063,248,
163,568,619,767,582,561,769,650,603,772,864,428,413,767,880,609,171,099,426,
014,652,473,321,558,832,679,896,737,896,935,888,879,483,546,150,211,808,097,
994,035,902,913,746,212,822,363,867,456,469,736,712,405,479,823,699,051,759,
999,863,455,689,414,727,763,913,316,445,876,006,410,687,385,577,337,444,794,
267,184,594,746,169,536,791,119,387,814,441,267,501,038,063,741,038,175,013,
719,817,112,983,437,093,566,568,661,584,388,359,507,303,181,025,465,074,262,
913,815,442,317,610,459,521,369,484,296,756,520,480,043,969,077,259,807,259,
812,641,068,849,282,734,566,167,801,931,620,862,645,862,625,643,782,086,184,
526,480,952,736,946,689,410,120,177,743,198,362,552,188,770,560,269,304,685,
441,384,855,777,235,010,265,679,192,059,764,899,119,188,142,024,811,827,994,
984,553,640,581,505,080,369,499,079,559,645,572,545,192,744,981,610,907,453,
401,967,245,732,641,150,057,072,492,517,325,588,369,859,141,459,394,714,865,
567,153,606,197,111,908,667,208,753,683,375,609,165,101,370,949,387,877,937,
800,339,584,816,073,836,588,061,860,419,664,527,733,477,331,421,440,680,226,
710,292,824,917,933,057,206,468,627,350,381,099,849,786,766,879,783,935,621,
833,926,190,984,033,162,689,253,024,425,841,788,863,575,391,826,185,898,928,
502,988,274,800,761,891,865,940,880,185,793,035,904,213,144,135,276,143,750,
716,276,651,829,785,933,957,210,513,146,502,973,193,051,932,532,139,170,311,
114,097,495,031,561,205,023,235,570,215,253,065,548,767,291,142,468,242,506,
941,050,545,721,566,581,797,707,430,002,280,762,849,406,561,244,551,879,946,
016,456,606,154,738,259,622,382,272,094,516,435,448,490,582,047,534,242,913,
675,677,240,959,509,722,841,353,547,790,093,752,706,829,355,572,762,092,096,
480,083,431,550,018,393,292,530,688,907,332,693,509,299,723,025,907,527,155,
914,380,662,941,095,160,393,952,118,102,981,642,727,727,308,648,494,255,624,
949,684,324,735,744,542,153,664,916,988,109,583,996,729,411,052,698,803,011,
404,384,338,854,043,567,499,213,447,344,028,040,009,959,792,691,088,926,815,
763,554,072,337,295,681,770,715,943,913,572,456,298,626,950,918,081,383,694,
909,809,884,235,980,176,972,325,756,743,502,664,745,005,515,986,045,877,269,
589,501,275,369,981,531,194,196,053,481,617,346,032,557,774,616,339,189,400,
324,757,213,997,098,665,462,468,635,995,085,209,189,336,356,405,390,532,269,
529,922,508,834,215,441,001,759,688,892,252,569,004,137,511,410,301,403,464,
795,071,660,933,920,424,098,184,297,597,603,870,248,847,705,862,698,561,080,
131,736,811,542,406,225,174,845,602,017,975,489,574,001,719,241,278,752,563,
369,465,232,987,896,026,567,783,822,827,566,595,495,616,142,721,663,634,395,
615,517,894,189,641,858,096,288,983,215,258,187,997,232,181,581,235,549,874,
684,323,872,931,687,019,440,662,909,663,999,386,447,490,968,263,479,371,567,
808,293,896,917,616,287,119,764,164,429,653,919,868,460,595,734,730,057,275,
312,499,709,131,504,310,224,928,536,574,285,530,683,107,053,015,388,995,830,
714,364,673,890,399,302,276,409,142,710,997,236,772,111,174,622,571,947,306,
153,178,119,401,682,760,893,490,027,092,333,485,969,445,935,299,683,752,159,
511,393,693,859,535,631,520,336,293,852,773,396,255,516,339,133,252,413,193,
572,534,897,617,698,053,708,858,662,702,765,326,376,720,308,764,249,368,555,
211,818,639,907,888,184,473,057,176,872,024,437,262,160,494,048,652,842,615,
770,837,445,082,625,661,425,789,885,962,667,326,347,734,642,421,821,558,590,
271,660,468,107,455,487,692,660,767,986,805,120,833,994,866,136,017,694,860,
415,459,329,599,363,027,131,299,436,004,478,675,302,425,802,851,813,051,950,
992,118,635,322,466,969,855,109,653,941,938,447,405,670,986,919,214,943,329,
260,006,148,429,535,378,178,358,500,814,997,261,686,247,205,011,723,657,399,
988,111,692,485,532,249,963,084,622,555,168,243,139,209,616,202,039,211,469,
179,863,016,166,808,150,330,830,966,702,102,078,868,329,836,280,345,585,271,
057,853,470,670,333,704,630,088,381,715,859,928,723,032,030,306,653,884,311,
232,307,825,013,361,653,996,436,587,751,688,378,958,453,015,764,147,785,504,
233,289,338,236,087,551,681,994,882,027,766,563,300,815,635,219,524,052,539,
511,881,739,944,802,349,462,971,877,298,158,522,972,024,736,200,981,122,343,
887,356,253,976,274,038,242,597,881,692,269,977,289,504,822,006,310,053,838,
456,125,897,917,830,123,859,785,847,413,622,664,167,238,705,215,635,493,074,
612,055,204,877,700,068,780,132,132,156,506,099,176,838,493,841,109,642,104,
342,291,651,661,391,527,522,143,600,903,332,554,799,525,795,606,278,039,462,
418,023,740,394,068,860,126,537,767,935,712,632,282,144,004,173,232,935,391,
135,453,548,730,006,695,283,561,055,349,272,345,582,836,376,008,876,695,979,
509,187,095,888,426,107,880,807,596,923,543,236,733,087,438,825,050,097,210,
074,953,405,031,063,152,742,415,541,172,206,509,922,602,487,422,953,473,210,
762,863,541,471,979,049,792,865,091,610,087,847,729,523,257,961,869,641,061,
752,022,355,952,044,630,610,396,526,190,179,509,139,928,947,658,954,854,610,
444,456,450,147,506,440,889,699,775,745,487,170,328,613,480,042,051,324,531,
727,268,935,662,090,920,530,289,743,111,375,679,562,462,882,524,219,504,000,
059,584,387,145,108,730,677,273,234,200,721,639,165,608,990,805,714,941,936,
834,356,151,177,832,842,086,691,795,852,081,856,836,152,816,874,027,505,030,
868,918,719,050,423,092,846,401,228,067,205,226,751,752,852,699,796,822,135,
367,187,894,158,099,627,936,020,486,150,892,348,768,935,479,108,171,802,820,
562,983,944,611,457,908,235,282,015,089,280,894,227,108,059,353,695,187,279,
915,373,585,829,901,457,393,603,788,355,982,093,886,165,653,413,570,461,767,
875,681,549,420,089,937,124,465,380,742,158,180,055,135,052,100,629,708,061,
194,536,165,292,496,275,386,483,023,471,790,892,828,030,897,986,925,090,595,
564,690,629,180,809,467,540,375,682,888,090,333,972,593,125,539,902,332,110,
857,387,903,161,566,115,705,919,724,273,978,467,997,153,726,054,112,325,748,
603,448,542,644,147,391,083,270,775,601,797,514,204,486,695,824,989,018,110,
363,537,971,535,141,756,209,669,361,112,474,482,981,652,074,051,102,376,132,
559,906,457,981,269,886,863,270,435,770,714,770,939,155,959,518,012,564,025,
220,777,391,672,785,194,179,007,284,217,448,702,843,836,335,288,247,678,932,
216,810,241,104,513,916,953,438,029,344,494,168,652,116,380,684,027,499,693,
454,492,312,391,428,571,739,687,367,300,964,326,208,527,203,054,529,466,965,
316,498,915,637,070,066,604,445,980,054,751,857,288,547,943,508,409,394,239,
037,875,631,334,141,483,336,077,945,351,642,878,210,537,069,567,769,012,609,
458,614,797,764,663,098,892,143,537,839,900,806,204,149,332,932,072,339,277,
772,894,134,144,292,970,116,705,726,988,783,776,539,464,102,073,695,710,177,
048,120,851,594,966,275,843,102,843,239,288,842,908,329,761,354,543,071,415,
043,440,306,368,334,175,935,385,514,564,862,004,018,121,457,790,503,041,131,
360,074,213,776,145,794,083,249,658,183,458,213,536,729,600,077,362,352,061,
093,931,992,872,867,879,009,733,944,092,752,701,953,120,541,652,106,996,201,
720,172,874,868,202,264,166,079,263,054,124,307,272,471,923,710,307,564,908,
187,743,369,974,204,761,458,803,645,685,458,329,138,802,333,786,887,444,914,
142,734,216,614,658,605,502,472,623,226,209,608,141,324,294,123,823,032,389,
429,236,942,459,818,798,335,993,075,415,934,903,157,160,342,422,237,322,743,
826,592,355,536,881,106,381,884,066,867,880,007,129,527,096,297,980,066,522,
325,253,067,963,893,913,150,746,965,298,212,220,931,947,417,976,924,830,743,
051,812,329,847,227,949,883,263,589,040,100,675,857,368,371,421,666,523,198,
267,746,311,343,971,829,147,163,775,158,940,336,853,061,518,340,172,452,203,
819,083,379,685,920,961,029,301,625,182,619,652,009,062,612,642,721,234,057,
366,545,389,817,401,041,346,235,651,790,490,431,876,772,839,451,234,929,070,
904,057,691,211,456,538,921,938,920,500,459,916,144,405,122,891,715,601,730,
415,441,717,236,342,465,161,971,399,387,707,461,968,471,630,579,184,908,369,
922,783,898,636,454,027,210,628,999,384,322,624,459,387,220,079,018,780,959,
267,887,061,222,948,975,437,064,590,711,276,448,067,102,715,367,404,931,719,
535,873,033,795,841,922,262,848,367,305,860,388,790,501,305,043,048,764,459,
516,490,917,734,609,174,177,341,439,026,720,479,700,245,826,883,416,748,040,
497,623,295,122,486,342,855,719,065,555,744,462,690,390,224,737,024,065,668,
258,233,469,496,960,478,939,957,891,178,069,240,227,569,332,722,381,238,858,
004,849,586,412,953,110,791,106,984,650,562,675,076,256,317,050,774,670,989,
699,448,749,897,790,338,332,022,799,740,317,773,144,333,269,163,663,813,429,
051,780,749,664,035,679,732,664,876,792,041,619,475,931,639,336,529,094,874,
219,884,418,564,418,962,792,924,353,114,326,151,564,181,478,498,227,041,855,
680,271,609,272,528,112,875,694,340,837,071,924,588,741,598,359,307,247,694,
485,027,601,507,055,640,260,620,193,838,836,544,626,209,060,609,660,915,180,
083,774,516,016,075,100,513,530,191,320,366,846,426,055,442,617,743,260,964,
073,083,878,378,201,975,954,765,800,342,869,362,790,191,448,364,754,897,814,
278,938,690,267,146,079,642,036,442,683,324,006,042,459,086,070,385,600,145,
068,298,820,842,847,157,710,423,598,801,847,431,261,127,517,208,082,489,995,
514,952,542,731,286,959,611,729,291,257,634,582,942,676,304,948,547,120,053,
288,862,299,921,100,310,819,027,990,016,647,726,660,580,803,572,352,614,406,
981,965,577,239,999,566,116,124,655,550,719,409,662,126,853,136,982,295,921,
207,496,100,896,028,148,276,207,673,911,448,782,057,187,635,999,784,329,195,
852,212,628,929,748,923,760,950,702,781,155,971,470,206,063,492,567,702,355,
729,409,943,930,493,467,695,034,151,421,182,662,069,689,222,651,404,391,833,
082,974,288,987,916,059,400,224,125,751,927,219,432,808,093,116,741,176,150,
397,225,292,446,062,552,791,777,076,630,453,450,257,138,350,999,052,535,160,
131,838,624,330,756,808,707,381,802,444,128,964,476,259,338,795,511,670,195,
179,009,121,330,546,135,489,737,789,454,519,987,331,999,881,331,405,380,594,
081,858,640,661,355,857,107,705,455,313,361,918,130,480,179,097,626,110,660,
674,263,133,524,126,952,550,570,608,724,963,901,255,181,317,856,172,103,319,
828,508,786,829,229,144,854,992,390,908,790,184,783,933,022,516,431,690,385,
917,033,719,249,135,285,709,925,398,377,538,127,113,587,202,912,077,086,144,
704,868,764,036,663,276,248,964,717,766,597,392,570,472,130,611,964,188,507,
967,606,590,563,492,892,098,132,977,280,201,139,816,373,196,789,966,802,035,
963,727,860,101,177,496,863,696,596,427,613,554,580,377,814,586,100,270,157,
515,799,390,887,787,178,178,342,254,686,029,739,891,186,431,848,328,577,374,
516,946,699,277,931,158,966,362,505,905,392,509,689,784,712,261,635,129,538,
528,371,270,532,316,541,188,212,173,147,279,304,351,605,484,106,200,314,237,
299,136,371,256,248,256,681,511,023,657,496,258,492,840,403,254,804,532,666,
466,768,919,813,122,940,258,445,002,417,959,577,084,436,217,550,252,462,161,
221,960,810,726,728,136,060,658,818,477,846,006,359,487,713,327,243,811,985,
652,589,697,014,179,248,163,785,281,924,699,397,847,191,824,205,137,117,465,
554,461,245,846,064,529,239,556,113,417,664,005,666,100,360,466,744,710,009,
279,271,663,625,478,243,782,723,353,858,353,397,193,929,689,366,213,080,730,
483,579,924,393,604,918,788,895,978,076,155,665,638,379,315,617,911,410,892,
927,284,947,818,212,787,170,771,843,842,577,898,655,975,053,588,058,979,854,
703,809,705,370,673,485,741,714,429,373,804,660,924,754,173,592,223,168,379,
109,369,050,016,138,611,666,226,668,978,911,510,959,849,198,553,708,069,302,
469,123,068,081,043,963,625,379,716,443,525,097,737,487,157,605,129,378,109,
063,781,414,774,763,236,663,250,855,025,296,044,558,595,752,861,111,367,424,
598,290,188,119,414,489,117,683,575,101,021,337,320,585,074,741,423,261,210,
987,086,579,354,396,422,445,589,599,631,463,585,552,831,451,053,166,072,455,
860,712,825,691,839,992,021,308,875,995,124,407,165,024,767,255,456,805,321,
990,148,333,963,384,515,117,950,528,513,689,496,684,837,922,756,329,193,517,
205,557,416,707,597,637,849,372,966,098,645,827,049,806,562,930,309,051,898,
712,926,732,537,262,879,569,345,690,652,870,585,918,677,039,020,429,981,360,
792,442,563,491,451,446,189,118,583,843,305,679,892,407,417,383,224,539,174,
742,505,447,314,408,100,410,251,985,802,533,073,130,669,659,198,451,737,786,
223,569,874,411,015,383,755,286,887,009,178,548,121,071,297,976,538,220,654,
920,472,828,405,004,415,718,026,913,242,470,518,124,823,612,373,554,173,700,
205,699,187,919,764,582,379,960,613,176,508,094,454,176,759,420,912,866,452,
472,747,614,136,500,421,363,202,731,540,469,180,664,006,251,340,081,349,342,
700,459,152,789,250,512,792,185,159,624,504,376,155,268,902,604,803,884,271,
902,955,660,736,313,744,453,939,336,659,133,479,008,263,636,162,197,333,765,
560,122,101,157,407,468,653,214,421,543,575,710,804,455,385,140,280,998,220,
948,198,128,293,412,171,499,710,048,248,851,682,989,894,563,149,557,174,087,
163,926,032,454,017,752,058,285,052,756,895,858,272,860,429,822,900,453,978,
255,296,926,910,190,392,846,646,318,208,813,091,686,632,610,465,986,082,807,
162,486,802,071,942,359,368,567,032,935,299,795,739,389,250,882,229,189,900,
641,199,612,577,381,817,738,812,801,474,491,209,636,343,465,584,846,565,988,
759,518,535,988,112,682,597,675,155,145,536,347,701,000,732,526,986,007,553,
248,447,623,596,702,743,687,328,298,871,427,189,970,985,457,451,563,992,234,
226,981,827,967,160,720,986,842,605,549,910,968,376,846,861,979,751,260,280,
593,341,542,133,481,769,570,628,453,455,730,226,946,735,544,710,005,697,399,
279,024,257,944,711,999,935,607,493,803,119,558,064,595,668,201,200,528,748,
092,601,757,468,694,307,198,015,730,003,874,101,786,142,796,846,110,098,690,
380,145,451,055,254,978,692,492,882,561,132,414,097,554,641,486,653,665,290,
397,609,640,604,743,856,948,460,774,234,765,026,512,191,664,980,158,650,926,
477,042,439,432,537,761,171,786,824,930,727,898,512,867,308,526,736,850,845,
207,610,978,980,543,980,638,245,038,544,051,730,811,735,768,633,607,936,712,
663,055,241,861,308,857,183,073,953,584,936,333,710,696,639,638,245,036,194,
410,286,697,084,760,900,960,712,062,702,469,742,593,379,808,917,636,177,672,
547,781,974,566,032,759,094,357,647,572,281,489,099,709,214,368,726,145,462,
279,221,240,155,060,495,935,636,597,158,871,898,145,982,715,623,000,439,446,
017,887,272,402,256,769,762,496,914,047,658,711,597,074,880,362,480,187,159,
900,226,160,451,463,007,878,998,343,436,807,512,545,117,519,022,274,774,347,
558,594,735,660,660,580,040,816,867,545,277,391,197,223,904,602,590,303,915,
282,788,594,681,153,335,080,664,488,280,111,422,506,306,942,849,849,350,489,
518,216,754,638,922,811,986,910,822,763,994,801,022,593,139,022,253,650,680,
561,928,437,385,391,563,038,355,275,774,996,560,533,691,303,732,021,751,635,
448,709,203,010,072,386,688,408,631,579,317,658,762,597,511,340,961,863,756,
390,201,433,597,613,159,137,937,626,082,234,433,157,874,466,489,123,767,866,
899,785,319,387,323,074,746,068,776,909,833,175,329,665,514,169,732,151,158,
481,430,875,470,003,074,141,728,384,380,513,601,134,283,072,299,821,061,410,
260,750,174,085,627,124,931,698,139,272,469,750,691,414,001,452,049,090,301,
507,140,161,956,272,287,661,045,979,118,824,793,128,239,249,881,644,900,825,
484,980,964,455,697,624,840,649,190,077,919,463,693,663,750,333,728,143,509,
061,797,039,514,582,280,969,456,006,974,506,387,537,042,231,812,552,172,815,
593,224,157,952,564,921,507,540,163,590,844,318,702,860,371,830,159,573,512,
293,205,258,063,014,968,254,487,755,688,365,304,546,231,147,032,140,942,314,
634,038,654,710,476,233,823,962,761,410,390,960,518,288,833,956,680,943,675,
667,177,936,113,096,384,797,389,774,843,686,488,373,138,215,600,170,610,116,
332,209,117,993,708,084,623,264,880,214,354,195,493,654,983,196,854,802,892,
696,457,596,916,283,359,041,034,872,717,358,406,361,977,977,370,842,859,219,
037,603,777,064,164,680,060,964,520,965,818,308,997,748,698,284,370,700,377,
385,155,369,154,864,688,982,900,081,387,913,890,046,201,219,977,615,766,723,
311,899,349,158,016,469,452,634,398,540,129,378,554,973,912,557,485,305,243,
675,743,918,057,705,727,422,715,203,793,860,517,381,722,789,546,768,204,578,
087,394,926,789,039,445,247,849,443,541,333,860,389,623,508,151,616,098,356,
557,257,288,388,882,953,132,581,711,704,352,541,777,144,417,389,937,792,380,
465,172,125,703,053,531,443,008,593,783,161,035,507,126,349,440,690,944,814,
738,337,248,760,712,760,784,881,380,664,780,454,972,541,769,320,910,938,090,
295,421,011,607,990,436,737,110,396,637,469,874,861,036,715,855,221,815,613,
053,807,407,402,777,313,791,070,422,486,402,876,577,561,785,910,064,388,986,
998,280,132,588,393,380,616,512,419,011,258,649,608,119,673,528,498,341,455,
109,076,285,009,066,483,329,607,321,070,918,794,357,335,096,267,025,034,836,
595,312,449,552,508,418,451,201,650,382,060,092,246,348,203,420,712,898,921,
657,730,822,081,732,177,212,367,925,818,845,085,717,312,155,837,470,158,361,
287,543,678,370,726,030,933,617,915,411,159,728,840,198,411,214,427,940,669,
922,687,433,652,249,638,452,193,995,807,205,149,192,144,165,619,573,783,282,
549,121,349,673,322,333,627,330,620,101,311,138,368,549,801,053,437,206,023,
373,711,030,389,796,227,865,245,486,421,834,649,500,093,078,162,219,330,675,
336,230,956,946,066,778,741,979,299,551,911,886,083,805,469,491,521,992,164,
085,869,716,190,323,764,685,848,927,990,663,679,864,323,400,563,747,579,372,
830,249,645,219,550,761,481,581,993,659,191,481,674,058,900,474,951,764,516,
390,483,379,902,557,568,423,841,363,739,021,604,525,573,933,308,642,843,085,
106,958,374,165,511,995,159,494,018,771,349,796,890,292,493,261,438,642,844,
562,842,260,831,003,999,062,435,758,674,611,652,225,111,035,908,320,768,725,
815,424,572,642,423,572,049,143,290,954,214,728,816,059,803,477,005,514,299,
642,343,742,333,378,589,739,557,583,794,212,157,549,266,953,211,281,391,142,
575,575,151,137,037,337,188,714,578,495,118,424,230,758,223,035,839,731,186,
614,194,555,522,118,488,181,762,899,317,908,807,707,163,780,416,694,313,398,
715,896,823,497,909,873,151,252,395,742,069,036,108,843,362,395,269,464,698,
083,912,713,676,086,824,019,647,029,938,651,528,751,843,089,963,271,962,816,
200,372,101,513,572,070,410,154,169,445,336,610,884,275,494,792,004,100,064,
172,240,267,021,045,389,384,556,715,398,333,949,487,557,534,752,875,222,536,
349,582,113,183,157,168,054,809,415,367,325,223,502,259,265,261,648,330,076,
538,490,896,289,083,536,750,027,366,787,307,745,255,185,567,705,038,106,337,
577,557,587,452,671,474,749,544,092,062,776,839,433,577,713,604,787,982,096,
704,608,365,140,695,647,397,209,939,716,073,032,537,957,373,471,942,176,098,
511,791,963,125,435,872,967,280,671,642,746,181,816,099,427,543,575,349,268,
555,119,982,437,732,882,162,804,925,259,393,816,878,167,473,956,752,498,638,
125,080,285,136,961,181,849,323,287,599,636,134,820,050,733,420,526,697,266,
189,415,119,680,304,605,112,763,931,494,466,358,793,283,486,690,358,831,973,
057,164,624,810,809,776,026,088,397,231,311,394,148,219,474,477,833,693,813,
157,792,759,383,809,806,637,831,743,282,223,841,396,133,980,424,555,220,727,
268,086,841,843,720,141,635,632,190,912,655,187,330,744,372,309,333,564,981,
507,408,940,429,670,303,911,328,850,960,722,925,354,942,656,016,951,643,674,
807,544,795,904,251,535,481,917,474,192,850,416,281,481,065,701,621,618,282,
897,588,015,149,915,478,660,111,326,963,168,759,307,592,767,302,580,517,568,
240,655,109,127,150,756,504,147,884,538,078,161,479,892,736,459,583,824,184,
539,299,472,378,696,978,741,048,562,104,000,139,422,775,748,659,250,223,451,
231,380,620,593,519,874,020,642,667,215,833,344,509,304,307,757,019,437,621,
384,005,734,875,636,643,526,045,950,997,988,507,803,598,966,354,013,704,265,
391,482,775,610,776,465,944,000,725,879,316,335,317,812,929,772,635,947,779,
151,568,593,399,869,901,591,642,889,176,568,085,426,988,324,155,893,057,130,
340,407,168,556,981,789,241,129,961,512,480,770,949,727,366,425,378,245,192,
590,691,255,079,238,567,570,662,369,911,769,125,210,703,079,619,549,418,464,
916,328,726,791,148,643,863,003,240,459,186,257,116,624,138,979,979,895,745,
147,640,325,780,502,173,797,436,717,598,678,203,056,950,931,237,502,615,548,
181,485,400,325,672,550,581,009,025,143,200,936,811,538,944,019,237,232,550,
979,081,880,897,252,575,170,824,667,286,252,732,243,067,116,863,436,464,759,
726,917,114,579,788,678,530,229,519,024,773,650,291,731,899,844,511,238,503,
178,644,077,275,649,626,323,333,324,333,917,376,758,013,100,210,099,286,300,
247,930,356,348,434,249,664,385,313,184,297,739,163,974,580,717,461,577,127,
786,322,419,305,762,933,839,938,771,969,781,209,192,445,239,373,077,869,398,
812,333,505,756,213,636,546,484,491,232,986,301,134,406,951,994,637,422,619,
198,112,759,989,883,218,992,481,332,772,925,961,600,160,252,411,646,835,641,
748,065,302,790,370,588,868,833,184,789,008,565,262,926,506,374,606,808,013,
879,178,565,441,779,035,399,730,976,016,930,332,861,075,977,015,565,715,341,
885,860,585,435,925,294,675,827,787,011,066,903,926,987,843,600,539,093,507,
079,054,080,647,835,493,670,414,550,579,655,141,903,618,629,125,020,635,803,
862,588,501,186,006,357,989,348,496,813,290,236,495,087,514,547,028,076,715,
502,214,815,063,450,413,225,656,075,317,021,595,082,787,027,734,536,621,519,
295,866,594,843,309,714,212,793,955,435,375,224,002,490,214,130,054,868,776,
250,983,645,229,563,896,489,573,953,956,312,649,102,668,967,474,208,463,170,
558,498,106,291,762,336,587,243,905,957,408,838,334,717,975,653,222,784,042,
557,855,517,377,024,676,539,070,105,502,240,979,549,492,341,553,995,517,795,
112,564,603,525,454,086,681,545,364,846,068,998,874,508,683,544,077,174,577,
900,335,414,635,411,089,222,272,809,848,606,617,725,333,049,629,218,140,786,
992,972,267,523,760,467,320,286,904,768,634,754,103,310,295,439,368,540,932,
894,347,467,132,591,205,663,653,286,688,224,333,324,676,090,049,208,677,585,
825,577,959,104,412,370,159,784,832,013,095,090,922,535,627,465,591,291,492,
096,581,001,516,757,100,825,767,820,742,713,112,690,303,742,220,708,697,302,
784,156,450,846,697,947,238,221,826,426,519,136,565,034,238,943,433,411,237,
672,617,091,613,397,088,018,560,821,450,866,275,653,841,157,733,416,980,013,
969,610,635,959,357,946,993,263,452,586,571,049,523,057,863,138,425,305,652,
450,898,668,585,551,052,422,829,859,691,505,970,730,035,698,318,739,256,560,
045,775,989,436,050,627,984,070,403,988,448,012,644,111,822,040,871,193,770,
318,238,087,255,179,025,085,482,626,930,243,265,068,556,464,509,268,035,486,
351,712,311,135,644,501,585,123,791,731,893,785,801,856,984,795,998,941,533,
117,189,381,661,201,874,433,214,448,013,080,636,158,212,629,196,369,323,436,
332,248,409,712,594,942,248,666,287,912,716,795,434,692,535,565,249,048,304,
634,994,536,273,841,537,092,941,312,393,991,211,583,264,528,715,485,953,881,
152,842,627,374,579,366,769,540,388,483,892,663,678,711,212,949,035,140,897,
219,474,259,183,417,547,804,431,575,019,205,170,992,755,608,857,128,571,043,
089,239,018,494,479,404,518,616,839,715,149,662,153,010,510,278,276,331,420,
461,064,731,282,786,664,006,090,288,120,376,694,588,520,047,624,879,765,032,
502,177,234,667,417,135,969,253,408,613,946,584,391,962,911,976,612,518,426,
585,362,819,507,561,800,818,851,844,999,849,017,030,460,105,910,778,819,939,
595,692,955,519,654,939,396,672,011,129,382,335,773,421,131,898,397,389,465,
167,496,216,722,927,893,610,641,117,330,813,725,613,755,304,552,200,532,460,
720,956,272,177,906,445,568,766,678,467,293,218,644,790,592,021,084,773,292,
519,903,404,485,510,043,035,429,446,310,387,408,495,328,579,360,641,124,665,
861,513,649,845,949,961,049,989,879,269,329,299,347,847,670,745,902,057,531,
817,457,087,861,334,577,504,701,321,635,182,083,449,371,337,573,280,844,311,
000,838,053,624,267,498,559,752,628,367,776,640,295,751,999,618,468,775,004,
018,350,133,044,422,017,849,330,572,773,670,324,559,051,571,017,903,985,540,
558,995,682,814,084,666,654,009,925,991,766,400,223,440,580,736,098,336,243,
135,727,971,579,065,173,797,772,545,494,642,601,574,335,107,111,494,634,175,
194,944,071,300,092,476,529,632,921,439,167,143,218,467,342,887,456,380,060,
644,812,572,586,192,264,134,197,596,288,146,327,285,133,942,132,120,251,828,
475,399,441,637,678,000,299,307,712,820,326,511,683,900,025,539,060,111,608,
947,420,465,408,404,672,042,821,013,947,616,018,027,420,616,976,999,996,102,
130,193,055,726,292,496,727,259,680,273,937,557,829,191,929,369,014,249,292,
972,909,924,198,843,905,560,398,398,076,680,088,646,360,972,097,428,546,126,
244,728,116,600,929,503,937,487,143,185,198,649,422,877,769,359,070,122,989,
171,441,558,069,250,474,127,907,864,487,223,335,964,174,983,971,881,462,252,
743,871,106,986,645,270,609,159,865,501,618,719,758,881,674,327,817,040,110,
033,717,024,642,452,802,425,755,557,612,794,802,388,855,122,899,511,670,733,
220,924,165,374,413,219,493,398,084,942,781,528,370,453,316,373,564,224,475,
375,976,778,586,489,906,085,177,415,920,466,950,720,115,064,144,887,568,155,
232,090,086,195,707,288,177,656,796,220,546,424,668,554,913,026,335,580,766,
553,717,461,663,559,437,918,023,988,091,300,665,407,826,397,271,842,944,813,
822,741,511,773,701,079,062,026,774,252,372,133,204,155,339,578,568,696,573,
168,618,859,551,769,913,737,941,041,690,652,766,757,676,985,029,451,439,827,
584,390,285,518,572,799,756,378,874,949,547,271,766,030,955,237,973,144,066,
405,870,865,034,056,843,276,994,029,706,442,374,743,844,781,213,121,780,670,
867,570,791,514,098,813,630,254,517,735,851,789,877,548,511,546,704,245,953,
366,621,305,259,026,277,981,564,002,232,708,615,788,763,921,837,233,674,590,
581,183,021,899,177,822,803,550,220,364,924,647,598,594,351,270,186,843,689,
499,256,912,657,738,593,592,542,157,657,015,800,335,290,283,503,683,846,394,
997,610,713,858,230,160,394,364,926,658,438,213,847,168,070,902,384,084,321,
742,910,873,584,176,839,239,958,005,385,952,840,121,414,599,997,612,538,547,
067,977,343,804,974,022,549,007,820,725,868,400,574,297,607,982,823,739,984,
602,652,263,960,460,724,007,883,924,534,651,025,943,660,591,400,478,052,583,
947,247,077,652,376,967,179,728,839,146,327,975,464,642,124,431,077,298,648,
279,962,021,361,222,634,527,743,501,640,313,274,258,756,824,217,993,644,160,
208,347,188,636,153,196,092,824,287,836,869,996,023,196,481,056,996,890,840,
864,910,446,150,753,565,513,316,268,517,172,837,811,406,073,419,108,027,477,
046,410,600,415,006,837,364,712,735,976,403,262,237,029,217,660,263,024,832,
223,258,618,459,630,297,730,292,481,104,039,168,703,859,918,085,876,107,268,
961,441,825,562,251,365,308,352,307,548,819,727,567,265,367,607,128,201,485,
247,264,375,141,747,341,821,264,215,303,775,070,157,980,788,449,215,715,373,
312,474,587,571,903,082,427,637,465,545,743,083,000,266,230,040,675,834,952,
193,077,416,437,227,797,464,119,394,392,556,516,965,426,725,660,218,166,338,
071,451,099,736,122,630,140,550,008,366,666,507,250,552,244,647,434,774,268,
640,709,091,720,797,729,816,502,212,308,101,202,088,916,307,848,162,020,472,
618,876,398,628,499,123,385,447,468,607,723,860,488,654,392,868,193,752,406,
906,500,263,871,775,435,736,985,167,946,922,630,621,173,480,742,741,505,238,
908,671,960,382,838,704,679,634,776,728,297,883,066,086,549,377,892,300,960,
244,607,253,292,043,568,280,831,751,538,999,793,860,862,796,941,425,895,451,
653,322,990,998,422,129,188,053,019,407,880,012,787,868,462,799,032,481,456,
038,128,981,910,871,413,100,466,666,351,369,709,453,846,333,194,449,802,255,
757,300,610,570,759,286,954,789,760,839,264,498,426,859,510,125,557,618,179,
969,242,548,798,670,066,477,884,567,763,656,677,987,237,510,600,278,549,756,
962,934,245,321,342,036,209,212,436,445,262,292,163,296,620,564,990,903,036,
991,012,178,599,827,030,022,856,446,440,953,050,672,987,225,529,388,955,152,
400,232,970,425,559,169,010,941,005,180,002,196,550,233,573,792,715,187,976,
291,252,770,560,693,404,199,057,366,269,598,164,535,322,564,859,736,665,276,
031,290,567,164,126,296,074,197,778,534,150,559,598,864,645,152,155,301,033,
604,156,908,708,623,620,618,879,100,521,846,438,671,589,022,016,315,456,281,
272,713,474,697,143,714,563,937,982,996,977,191,120,848,564,512,477,804,304,
712,623,957,690,742,319,875,502,390,882,299,305,312,373,964,961,200,436,818,
019,000,142,389,960,029,240,184,550,817,217,374,095,735,326,448,824,414,269,
502,461,791,914,588,498,203,755,122,524,125,487,966,600,845,753,306,686,574,
795,800,739,928,963,898,779,348,012,058,724,758,573,414,386,345,926,190,873,
846,189,659,831,213,879,003,451,188,311,184,774,015,237,020,216,133,729,120,
744,834,101,267,943,320,597,189,534,812,900,156,621,425,997,456,978,347,444,
574,672,721,472,212,323,864,444,596,227,577,747,963,989,880,929,733,430,535,
271,003,038,022,821,902,121,902,419,786,895,140,568,719,679,678,572,426,566,
070,183,380,143,364,929,316,775,333,811,599,540,882,484,127,051,141,612,144,
790,089,150,841,202,463,602,209,407,457,283,259,207,362,210,537,349,177,005,
020,055,961,326,469,301,555,240,708,809,942,046,726,775,777,283,249,924,609,
235,832,684,099,955,715,696,439,379,088,652,965,335,599,000,750,343,548,441,
403,277,339,810,150,222,152,902,480,168,098,175,858,047,047,338,352,238,107,
366,145,046,680,113,636,446,069,310,181,145,329,042,859,402,971,389,731,231,
729,246,206,381,054,525,239,196,458,566,819,251,242,055,163,067,776,263,169,
007,094,888,716,676,303,721,716,701,747,222,333,207,764,751,333,400,356,630,
865,951,741,409,410,813,123,613,534,081,000,391,664,604,628,014,782,192,710,
189,213,657,515,502,422,836,150,321,256,596,866,533,222,756,938,749,299,232,
213,855,672,478,505,933,761,922,447,898,581,246,299,746,218,037,633,211,391,
378,021,305,155,052,929,543,536,637,474,945,766,200,333,328,784,880,246,691,
396,454,911,076,857,596,046,046,260,301,424,439,813,645,513,204,143,063,805,
907,392,385,871,686,875,163,276,361,636,926,856,916,307,991,353,987,539,892,
744,278,760,079,076,027,456,549,292,407,331,963,249,450,510,511,836,939,462,
794,513,818,072,704,694,939,322,357,730,545,042,256,009,570,961,429,155,188,
184,645,536,019,353,647,630,020,797,498,653,420,545,115,703,578,354,625,448,
137,232,552,889,545,624,618,576,908,803,325,049,148,112,230,827,359,745,761,
273,870,435,511,330,545,844,702,790,354,361,589,475,973,890,628,597,382,231,
930,231,806,625,759,149,839,260,790,300,678,424,392,963,031,948,497,524,144,
393,351,617,439,895,116,753,498,218,507,343,131,747,191,427,148,037,087,272,
499,208,651,195,892,199,054,721,784,332,321,679,452,505,870,915,177,145,021,
943,136,924,137,609,786,059,877,451,238,658,709,251,673,436,889,465,505,752,
792,921,727,950,932,470,341,052,147,651,904,919,476,686,295,387,094,963,842,
531,218,875,494,954,952,820,506,804,273,729,112,361,396,974,254,649,089,903,
901,039,295,463,387,933,139,535,831,641,376,318,692,573,959,066,480,181,015,
774,801,293,182,670,135,321,425,639,432,256,101,574,051,270,890,434,053,373,
077,647,159,461,220,677,793,615,090,000,528,619,339,037,558,201,002,784,674,
656,500,686,875,082,187,125,131,296,582,019,631,877,275,170,081,537,514,305,
810,849,649,689,699,186,761,878,659,725,545,721,846,052,755,876,674,464,320,
384,952,008,102,173,143,486,815,739,472,991,394,072,198,354,662,038,867,526,
143,145,858,348,029,743,328,945,606,319,802,892,331,212,329,100,038,317,982,
594,763,801,690,180,847,518,243,699,157,652,636,007,365,906,555,506,820,054,
345,661,474,514,695,062,885,158,633,283,289,260,009,787,437,129,793,559,949,
242,109,412,498,673,358,558,672,450,344,937,261,197,292,328,263,279,483,339,
878,885,160,500,518,331,025,505,500,829,979,688,986,152,606,151,480,144,420,
345,677,048,079,792,713,283,397,252,923,891,227,720,612,296,518,440,000,968,
712,412,866,034,419,126,813,417,098,107,555,708,529,365,814,826,616,159,870,
931,631,097,997,786,015,962,583,973,172,723,941,227,845,247,920,886,524,813,
282,507,301,342,686,737,140,022,837,456,127,352,173,041,661,110,967,806,831,
618,611,083,363,196,887,980,685,098,148,957,306,283,446,356,111,170,250,950,
571,032,429,901,443,893,529,590,823,902,955,121,112,925,842,222,960,105,505,
941,942,247,244,571,288,923,132,495,795,138,736,026,607,840,790,564,063,665,
700,725,920,948,895,005,477,535,696,887,741,100,898,060,256,082,710,832,858,
411,333,698,979,656,760,164,652,652,195,224,329,110,985,914,880,267,101,833,
891,070,819,261,064,319,609,765,557,071,192,265,366,238,328,310,452,031,731,
968,081,199,639,086,082,905,304,752,371,184,417,777,243,933,918,501,555,268,
766,293,312,129,256,359,639,224,926,868,894,575,504,413,302,250,115,054,341,
612,883,492,063,567,231,410,935,108,144,493,398,146,968,890,812,023,454,962,
762,346,422,541,226,396,509,827,458,489,686,900,144,235,434,113,341,755,017,
471,082,280,213,456,221,951,680,186,010,326,095,551,564,177,804,031,781,609,
695,686,691,505,712,185,325,274,742,453,630,415,165,192,609,860,323,566,477,
958,027,634,179,870,471,530,083,156,865,474,026,151,434,234,525,698,732,187,
290,585,992,611,088,630,021,762,988,810,331,779,719,152,042,212,663,520,348,
059,658,205,674,573,664,657,583,332,949,566,893,077,036,302,406,939,528,440,
827,381,293,152,924,424,189,915,702,887,612,769,777,108,983,931,849,116,178,
040,514,175,011,376,104,251,266,946,297,951,711,061,363,369,819,686,372,000,
617,374,305,406,340,352,934,787,549,206,204,011,564,129,097,653,585,949,209,
803,849,042,750,817,387,232,808,835,261,676,598,786,172,269,795,179,760,615,
418,794,918,136,253,844,156,701,334,101,908,379,481,222,102,980,389,028,156,
846,414,762,724,855,259,474,050,193,956,293,506,845,488,162,203,496,473,775,
285,600,240,829,868,830,358,361,258,628,608,022,156,186,902,074,020,015,000,
374,710,725,571,400,154,249,478,100,060,606,612,480,560,960,066,134,279,476,
810,910,426,315,529,836,945,771,565,208,056,313,133,356,120,684,551,395,012,
535,674,893,114,182,594,741,151,279,599,720,690,802,901,531,091,629,165,666,
407,711,603,067,914,609,220,212,944,843,165,659,063,019,927,661,018,515,791,
646,219,350,148,010,427,747,301,610,612,663,284,454,858,773,246,666,673,818,
569,758,752,240,913,944,057,702,846,004,361,451,222,190,683,165,029,159,459,
826,618,033,858,227,646,091,056,313,636,844,569,826,192,546,533,379,368,755,
320,031,776,688,393,234,152,372,306,526,858,663,277,613,512,651,024,593,389,
726,735,251,652,803,245,239,129,949,386,016,095,606,232,978,259,055,207,540,
389,955,803,888,214,372,608,144,662,035,453,281,473,314,361,828,769,438,358,
298,798,786,976,803,331,805,097,334,747,794,939,395,580,852,577,098,911,475,
016,984,167,243,108,109,290,023,139,915,929,207,187,474,784,515,043,687,597,
707,674,141,198,613,855,424,407,697,715,718,543,937,015,179,883,284,663,957,
690,015,148,889,401,112,936,752,884,518,655,455,987,645,783,130,448,119,011,
441,438,597,083,168,044,915,238,736,664,499,022,690,305,155,365,117,156,672,
811,065,530,919,407,758,548,354,165,614,136,067,914,530,509,418,023,711,309,
086,307,000,469,678,902,704,588,406,358,723,787,080,354,238,184,983,988,545,
333,057,836,501,815,095,149,516,297,052,000,303,972,677,315,422,640,474,519,
728,878,383,865,372,591,628,294,397,730,115,812,958,638,024,697,577,390,531,
358,368,249,864,807,944,652,972,013,789,041,958,971,679,362,970,868,224,293,
272,937,615,786,707,462,553,971,583,852,894,666,133,530,486,526,326,173,708,
264,949,050,147,968,799,680,307,362,387,715,223,056,987,153,985,037,777,936,
771,676,401,169,397,384,043,757,518,343,335,886,979,559,120,162,296,971,744,
806,683,251,458,100,816,786,569,699,609,597,960,441,561,046,240,795,252,097,
573,243,672,919,010,296,287,800,456,595,102,578,608,994,759,465,285,812,835,
317,074,678,522,556,483,573,994,102,269,891,282,921,154,669,365,470,430,917,
381,190,635,025,680,993,434,085,853,326,313,245,065,810,396,067,247,620,468,
819,476,602,372,673,406,171,397,591,045,634,695,191,370,222,315,504,075,609,
126,061,991,322,594,956,217,342,871,904,614,966,154,746,033,281,027,890,340,
404,298,577,638,919,965,939,019,623,620,221,660,040,236,371,641,942,639,288,
891,149,661,956,550,221,903,691,775,866,089,124,891,319,208,301,928,905,026,
031,113,313,992,229,483,159,910,988,814,729,688,045,958,796,986,643,936,438,
956,186,589,836,110,271,079,893,470,957,225,794,362,029,206,589,269,175,531,
600,094,721,064,693,898,802,660,592,745,533,519,843,620,293,538,143,144,355,
463,162,256,242,502,087,549,811,177,143,655,019,906,199,578,127,806,909,800,
268,007,244,324,688,842,801,344,095,244,141,432,516,391,192,419,814,523,803,
490,191,250,777,612,069,782,105,451,020,213,224,004,086,902,618,596,929,760,
237,622,958,431,555,773,906,786,070,240,269,469,776,185,608,528,910,126,107,
239,410,813,242,453,270,422,578,064,831,937,906,208,148,185,753,949,294,100,
692,600,888,703,740,152,482,683,694,517,476,088,462,448,031,157,901,453,677,
835,909,047,009,924,379,231,884,800,589,963,819,081,112,229,025,257,963,576,
501,104,249,816,611,573,718,813,460,445,879,389,291,396,648,488,071,552,967,
010,975,137,302,072,555,055,863,731,335,151,993,996,665,470,410,768,320,770,
677,864,095,860,654,487,205,671,236,345,820,058,418,975,812,464,629,182,404,
055,375,895,886,078,011,834,757,342,463,433,077,096,860,800,945,496,968,342,
359,692,936,737,043,700,601,808,233,277,381,404,936,758,149,940,834,875,947,
981,484,804,005,876,557,064,266,187,725,699,891,027,045,689,471,310,661,547,
077,333,966,881,504,436,013,583,272,932,948,564,184,404,809,505,310,939,977,
933,741,002,623,113,236,036,648,736,066,907,869,776,998,861,385,125,357,275,
589,622,859,015,983,111,129,166,467,946,522,095,875,181,267,778,348,966,224,
683,647,070,555,227,560,604,416,351,230,199,167,731,172,147,432,039,186,211,
775,425,810,713,357,884,891,093,628,314,561,682,107,884,183,593,391,943,908,
450,669,063,355,176,011,916,919,964,931,144,028,796,724,959,866,316,277,259,
213,040,980,907,629,648,301,419,927,445,080,598,303,867,781,050,933,755,386,
099,997,746,861,144,631,152,245,165,763,668,802,891,642,293,296,508,167,067,
503,180,328,095,225,849,258,421,414,512,857,072,652,537,718,268,684,123,049,
380,616,574,002,741,027,077,331,579,782,862,663,479,241,211,791,682,966,695,
801,159,691,518,147,913,232,963,182,623,871,504,007,622,173,276,637,356,106,
150,380,640,264,840,381,777,734,621,815,749,598,653,223,725,941,333,538,509,
468,993,603,900,692,827,018,052,345,447,898,046,602,801,922,774,361,132,719,
921,006,905,545,496,838,429,003,128,812,845,958,420,739,637,845,179,347,676,
236,176,987,645,198,523,658,603,100,463,599,957,683,883,367,858,230,238,531,
097,510,565,060,748,761,579,761,217,176,557,354,845,296,987,438,594,627,983,
040,079,495,039,124,253,584,914,957,673,346,115,715,229,981,419,899,037,000,
471,921,132,652,703,480,266,307,880,578,317,930,509,551,449,578,762,652,840,
351,106,454,240,842,033,962,052,745,310,911,094,496,252,888,984,350,807,662,
115,807,729,153,626,503,793,863,039,204,737,543,625,834,920,631,255,845,392,
216,659,694,151,595,591,246,269,991,736,096,362,497,931,808,937,900,530,722,
972,059,245,670,893,176,113,059,601,283,723,448,768,798,718,260,270,421,194,
905,200,820,113,112,813,295,795,907,464,340,363,233,182,316,309,826,181,435,
871,798,166,880,848,809,821,409,290,452,205,126,354,451,128,216,676,589,602,
680,730,450,899,586,477,429,165,177,926,022,038,700,305,364,716,493,499,586,
824,704,189,903,622,153,484,659,344,460,948,646,886,954,894,488,109,635,474,
574,055,330,958,813,933,887,141,993,170,055,058,575,909,730,783,648,352,661,
072,325,367,308,405,080,557,977,291,687,732,569,965,352,431,758,669,432,432,
526,717,367,941,984,190,735,734,876,869,092,750,871,478,606,008,439,622,997,
919,044,036,066,493,528,612,017,554,723,629,102,968,032,205,101,614,428,629,
905,723,852,788,935,853,337,762,024,024,722,117,253,446,632,709,824,169,835,
027,554,225,807,509,259,323,589,913,267,966,902,367,737,485,093,376,791,298,
855,987,660,678,003,780,861,750,134,038,261,831,005,427,705,889,954,196,247,
006,461,542,371,736,181,449,101,733,251,395,575,765,246,814,656,140,553,310,
052,247,533,602,249,415,086,970,888,993,414,825,294,643,446,236,698,949,569,
989,830,061,402,785,696,916,695,992,287,220,232,241,823,353,016,477,581,602,
262,145,728,970,313,104,643,152,498,684,712,168,200,495,536,392,423,576,253,
123,701,594,975,305,567,604,524,372,534,765,017,525,725,648,957,545,022,914,
135,285,545,589,654,337,802,464,863,386,347,361,019,156,211,087,528,960,907,
108,763,088,445,435,141,032,899,757,602,238,339,980,561,441,780,331,681,274,
499,970,375,223,249,743,600,672,832,093,954,829,633,701,273,317,830,371,211,
473,142,407,531,498,526,329,645,580,380,860,382,779,649,460,408,333,245,549,
655,952,203,508,009,100,701,644,352,475,839,974,344,511,696,865,008,545,047,
779,791,377,902,406,865,134,407,843,749,746,008,910,739,475,316,195,848,548,
935,422,555,898,124,727,617,346,206,997,434,504,000,322,964,424,267,940,491,
549,232,093,790,094,673,800,150,156,157,761,670,545,188,498,481,429,349,995,
681,727,554,281,994,357,512,365,983,557,061,728,128,290,128,480,242,175,858,
279,992,080,818,210,451,798,717,878,059,880,314,229,387,024,627,525,275,633,
403,104,478,465,785,770,792,932,906,234,573,102,519,919,461,551,324,725,428,
216,858,936,472,861,282,363,666,872,410,727,274,394,431,763,495,408,852,605,
519,192,838,887,624,899,047,596,621,636,627,895,641,530,916,564,356,667,322,
109,899,987,807,858,023,240,133,233,404,467,940,563,889,960,650,882,210,492,
854,217,112,217,567,188,711,422,182,135,862,701,806,003,041,047,111,561,398,
293,208,732,562,052,398,308,727,256,756,876,477,720,403,494,927,146,946,515,
646,033,024,705,832,970,740,074,190,036,508,424,197,868,872,231,412,262,509,
641,486,191,788,091,151,368,495,541,492,634,008,021,996,579,612,954,828,661,
421,508,651,501,209,853,754,368,622,333,105,902,508,652,915,830,971,454,436,
388,609,543,309,917,646,280,544,704,856,623,640,971,665,940,596,341,263,352,
247,956,091,112,655,509,099,634,951,105,576,813,420,254,742,557,832,966,676,
259,730,140,279,418,225,300,588,021,256,043,591,089,015,231,182,858,772,241,
891,551,101,129,492,064,161,074,337,017,061,340,967,447,382,598,361,503,054,
161,654,164,274,564,028,321,338,986,196,213,234,401,320,116,461,649,139,923,
916,540,544,691,180,902,188,395,258,931,768,944,553,059,021,310,976,449,891,
313,713,415,714,942,700,865,287,004,304,872,509,112,679,444,420,567,262,917,
704,575,970,799,251,765,853,986,016,014,400,992,352,337,434,499,218,611,978,
014,709,462,339,585,260,875,590,151,825,456,137,704,835,577,960,650,994,263,
750,748,345,461,725,868,874,785,922,603,269,419,894,038,510,448,702,112,185,
459,992,732,416,795,946,134,837,344,775,168,581,530,001,330,159,285,253,969,
028,229,909,342,276,087,289,362,844,282,230,392,234,364,448,534,867,259,178,
216,693,419,614,277,863,596,432,139,904,684,941,973,928,964,796,126,012,158,
841,528,387,577,817,881,468,465,050,292,816,453,015,187,342,904,319,034,824,
689,249,575,772,136,130,148,104,716,711,959,776,027,547,888,416,940,563,966,
998,726,168,068,356,324,238,177,522,888,201,384,420,087,299,446,135,210,955,
670,128,099,127,414,836,688,771,301,496,082,496,462,673,532,735,367,535,766,
380,022,393,220,094,825,115,253,497,973,448,151,450,309,667,627,194,249,257,
315,241,113,976,620,958,921,228,502,351,040,113,900,823,222,791,983,327,309,
604,849,874,122,766,048,151,618,445,284,704,583,276,738,820,511,376,737,734,
517,542,582,689,985,366,559,696,448,307,203,197,250,688,520,084,550,598,601,
614,533,232,858,889,952,011,334,889,024,616,148,365,479,765,859,639,262,091,
034,232,094,525,625,280,770,869,070,860,648,969,046,414,506,206,285,065,651,
799,467,424,578,711,018,216,106,844,898,850,282,938,317,497,725,291,227,244,
271,734,945,365,622,171,821,636,860,006,589,229,468,336,166,081,972,205,225,
631,002,486,712,910,654,528,292,377,258,098,820,239,704,647,376,318,726,363,
743,865,939,827,404,065,538,735,661,106,300,396,454,787,644,303,202,486,423,
305,261,113,089,482,529,073,064,849,399,608,401,982,880,347,638,063,577,809,
427,113,567,304,750,629,491,272,496,063,337,070,371,216,577,975,689,750,591,
734,620,932,831,032,948,053,780,034,546,123,277,695,753,874,844,923,602,175,
863,129,256,514,328,235,424,178,118,998,503,477,122,704,760,581,522,636,166,
187,729,172,833,049,381,252,954,262,082,128,393,428,297,472,296,550,412,732,
825,208,126,920,034,625,667,562,033,073,842,038,449,151,813,499,453,229,584,
311,668,162,562,498,276,374,365,069,445,541,308,784,726,658,187,990,790,829,
964,423,076,561,080,006,783,524,995,830,845,847,827,460,585,547,938,422,343,
838,837,621,952,486,862,302,548,392,347,236,588,116,736,377,886,611,267,096,
055,166,641,317,280,600,127,138,370,650,201,242,696,280,098,858,045,806,912,
781,125,164,075,305,093,474,744,066,409,268,367,775,066,419,635,362,509,472,
283,841,545,265,001,079,178,196,876,815,558,330,906,294,897,898,236,945,340,
311,917,253,882,940,075,458,310,321,464,268,727,302,992,332,283,589,957,617,
046,664,764,989,106,857,825,847,065,662,292,223,521,300,468,301,087,647,591,
632,506,956,208,700,905,009,558,677,656,674,763,500,714,185,047,455,050,029,
661,936,674,950,568,935,203,180,877,980,243,226,836,775,210,553,791,081,714,
340,602,176,040,413,199,186,651,935,760,071,019,464,195,380,522,524,270,259,
276,058,541,928,774,872,982,509,428,152,853,977,913,086,862,825,653,823,988,
523,098,255,372,263,243,904,131,984,983,656,676,502,241,672,772,920,103,142,
845,512,481,170,753,173,961,102,609,893,198,634,871,529,349,601,753,729,221,
755,115,261,676,443,548,554,836,523,911,718,094,328,650,242,320,084,426,861,
735,422,204,286,613,011,939,473,921,070,581,508,296,143,605,595,410,370,563,
551,216,742,865,780,059,278,830,808,932,986,527,624,321,506,141,158,224,352,
148,311,143,116,983,185,772,896,641,177,755,657,004,241,542,994,298,851,760,
776,646,654,942,308,918,014,923,186,434,136,670,104,980,410,693,731,027,231,
428,076,802,410,080,961,132,377,417,319,132,540,703,908,531,136,495,303,148,
003,531,631,514,300,829,567,216,696,343,642,399,299,925,697,565,035,203,787,
805,929,530,198,221,186,891,003,635,037,398,280,254,722,935,760,472,288,476,
198,297,352,977,009,062,531,724,650,079,152,041,120,142,265,168,070,720,071,
623,213,141,028,927,470,314,183,739,107,894,900,633,843,379,286,296,346,372,
186,459,384,226,256,513,911,227,358,483,145,495,473,355,481,944,689,334,412,
436,883,949,965,324,720,282,281,299,998,181,435,605,773,443,221,507,991,758,
713,728,283,590,357,738,343,605,291,426,434,448,187,543,948,998,309,712,550,
996,528,300,789,920,547,890,883,876,280,331,758,406,620,561,999,634,884,698,
230,757,222,065,914,762,480,755,856,185,002,241,337,339,014,363,962,416,553,
445,172,631,837,854,089,498,972,246,633,846,174,334,058,003,584,162,946,172,
614,076,351,528,500,098,139,837,965,552,072,151,466,869,945,063,313,997,530,
307,713,868,906,622,990,553,995,169,562,945,080,025,541,166,360,458,450,833,
978,439,199,016,954,357,249,066,880,339,313,816,154,238,215,577,742,379,277,
807,816,641,998,584,425,558,603,615,229,763,618,200,433,620,778,627,923,779,
538,207,501,833,023,890,860,046,615,078,999,312,287,148,257,371,211,012,998,
191,289,069,137,117,650,571,306,322,478,319,823,861,627,850,912,745,379,157,
741,405,172,694,205,180,064,071,474,451,730,269,992,086,664,673,010,158,478,
454,888,768,337,400,701,791,114,306,582,511,266,116,620,022,013,651,684,781,
757,188,017,682,848,776,092,700,244,349,211,375,486,189,337,213,608,454,555,
217,287,483,947,528,681,339,506,825,502,144,217,456,641,968,576,093,707,363,
612,361,568,594,093,905,557,503,398,767,398,915,521,566,103,247,526,470,331,
618,446,342,730,864,357,811,363,357,330,716,793,117,405,594,550,672,500,598,
248,905,739,875,020,460,409,773,476,510,252,134,603,292,977,139,259,553,062,
818,203,223,209,140,360,230,345,984,075,819,879,779,419,572,788,306,466,433,
656,853,777,192,898,416,607,309,321,534,889,379,299,270,113,440,753,291,583,
083,212,439,802,190,017,968,631,716,232,113,317,700,360,734,716,989,780,729,
380,529,497,452,319,646,774,603,454,598,916,824,388,456,550,636,215,497,424,
288,031,203,951,469,490,043,095,418,144,895,696,836,832,868,540,371,820,421,
606,404,098,561,248,057,746,791,342,750,284,620,459,798,571,303,035,607,865,
069,992,387,254,234,632,595,291,309,789,650,813,055,271,996,959,275,854,355,
644,314,885,296,253,939,838,949,146,575,294,885,953,083,233,699,295,620,383,
158,043,407,661,916,485,544,496,834,780,485,234,828,141,718,781,331,878,221,
421,543,011,458,118,084,478,257,572,119,190,594,473,077,422,695,867,992,459,
696,360,237,114,035,460,213,814,118,302,623,902,339,779,321,629,906,750,447,
104,626,937,123,768,443,757,239,105,740,356,862,486,253,827,185,097,634,680,
711,028,161,326,663,029,796,594,686,331,988,661,951,093,821,205,612,861,811,
576,774,407,757,032,074,163,334,854,258,388,482,825,804,067,886,897,555,217,
466,367,625,061,412,833,464,283,498,511,828,889,489,454,537,156,948,697,663,
408,834,402,748,457,706,912,128,073,876,385,113,202,044,578,833,623,972,213,
293,095,614,944,865,098,718,378,393,017,217,305,579,578,701,371,698,786,030,
699,352,852,904,746,640,744,956,853,135,431,838,277,968,946,059,203,214,911,
907,947,155,925,449,987,033,729,779,594,280,540,543,572,333,991,095,751,850,
531,653,753,467,903,828,735,167,847,992,305,539,289,802,273,785,775,141,164,
221,619,008,522,009,327,888,332,290,309,334,887,909,558,133,793,057,310,179,
177,634,670,015,581,855,958,340,968,561,202,987,281,813,860,423,366,530,842,
609,859,846,239,703,241,247,045,165,086,377,330,449,781,677,057,786,601,055,
329,317,900,545,933,192,359,831,066,611,966,335,623,246,137,335,545,533,496,
905,687,950,228,643,024,812,984,906,589,808,060,439,194,486,137,242,247,128,
501,387,399,165,567,847,531,015,195,875,428,081,993,169,652,324,973,843,922,
060,834,005,523,058,938,218,586,151,962,299,659,001,949,064,386,485,132,460,
420,659,147,211,808,880,652,190,606,758,095,326,111,444,929,120,121,377,167,
171,958,412,069,950,305,013,964,589,347,625,777,646,081,880,649,580,048,036,
647,570,512,922,308,412,775,850,418,151,154,535,236,388,765,201,008,802,447,
359,141,115,255,413,981,406,008,248,902,013,645,160,545,104,507,758,505,935,
434,696,008,615,683,787,202,278,799,956,406,090,529,326,710,868,286,795,233,
403,400,833,220,446,831,407,932,714,142,472,479,662,771,184,183,288,750,289,
071,367,490,932,063,611,324,657,947,225,195,145,825,596,364,263,113,051,685,
265,367,330,980,227,966,498,256,814,750,395,267,381,779,003,685,225,795,483,
781,249,272,681,528,139,014,064,413,930,307,796,775,906,867,030,976,376,785,
895,533,771,847,819,339,699,245,202,166,135,335,219,873,199,391,621,459,312,
007,148,988,235,793,608,555,014,358,467,199,434,329,916,427,417,684,288,134,
396,800,612,374,873,142,478,863,859,178,142,099,550,712,098,321,509,433,231,
093,638,113,966,694,052,604,889,709,288,022,804,403,410,491,725,835,938,178,
371,790,503,272,835,656,366,537,991,135,178,968,090,408,227,864,082,576,859,
233,053,586,792,348,034,990,349,541,603,565,858,393,377,725,984,249,062,102,
810,213,956,336,436,335,393,682,368,116,077,593,495,533,103,355,710,454,550,
601,568,637,277,242,237,473,670,990,221,867,026,111,949,361,833,992,772,212,
894,370,592,954,577,063,039,606,581,638,601,037,169,981,387,161,256,946,108,
172,506,877,326,645,262,291,085,043,042,906,676,784,369,225,784,583,962,561,
509,572,861,621,683,313,884,175,696,726,498,830,639,822,575,730,275,441,489,
223,290,480,180,491,473,687,745,702,903,559,850,035,378,197,662,761,924,074,
579,824,591,804,230,314,002,666,904,087,619,498,520,481,619,085,845,851,285,
017,215,948,406,144,389,737,516,749,255,346,598,698,042,255,470,895,345,495,
723,453,541,088,096,720,608,484,436,767,126,101,054,119,149,731,981,061,668,
870,408,453,338,369,380,301,265,764,118,133,563,741,639,433,118,922,590,181,
466,681,002,443,021,274,371,837,884,913,638,222,980,332,685,042,799,616,537,
347,756,134,037,995,393,733,998,794,610,077,881,692,787,846,920,841,311,297,
455,462,323,638,764,828,320,591,053,232,535,910,871,216,280,933,367,666,683,
573,492,162,824,055,611,174,660,131,655,489,062,019,572,229,240,103,167,679,
340,785,646,065,130,144,612,016,260,732,664,071,228,574,224,058,632,793,352,
300,067,945,999,889,474,826,432,494,072,400,351,017,047,921,576,046,676,805,
142,795,081,203,024,736,620,883,062,728,399,973,640,873,031,406,584,957,778,
127,615,230,118,021,164,555,427,721,408,029,476,545,929,605,184,913,869,126,
084,859,899,983,859,850,462,357,790,333,802,601,244,737,231,659,482,956,143,
520,920,474,359,666,800,940,754,547,832,294,568,100,673,900,343,424,865,826,
243,319,483,853,368,662,479,700,076,015,173,653,664,081,478,904,989,194,024,
239,544,501,478,442,926,428,475,448,555,954,203,807,367,866,969,014,751,527,
116,446,205,757,749,038,668,345,349,341,895,099,086,860,760,799,535,083,485,
335,119,807,156,758,178,759,326,096,447,501,760,000,135,566,084,657,985,428,
516,372,923,446,287,270,767,741,325,455,826,686,603,052,787,857,243,719,814,
968,673,557,621,279,123,955,865,828,105,246,895,915,376,469,351,492,055,723,
132,145,694,765,427,425,005,982,253,360,657,258,665,739,571,803,747,891,395,
929,094,116,978,507,120,042,573,683,872,768,313,198,307,217,969,202,791,399,
041,866,876,060,520,484,180,653,755,090,156,962,825,182,928,778,270,191,543,
501,097,746,404,707,549,852,070,501,271,805,633,810,458,783,087,182,321,174,
990,836,700,082,067,805,476,383,061,200,798,168,608,848,231,628,069,983,476,
371,614,158,489,365,818,815,415,297,967,648,044,238,295,023,883,229,330,299,
067,681,811,893,077,253,789,123,298,851,465,570,789,767,441,975,424,923,668,
734,160,015,215,259,772,659,081,045,451,326,980,533,450,093,898,057,897,754,
039,663,810,978,181,527,654,088,652,605,008,966,489,847,698,733,016,015,434,
991,474,774,047,644,964,786,533,569,536,569,775,728,211,226,029,253,690,574,
056,657,548,526,005,466,021,500,297,062,968,014,834,213,327,756,186,159,335,
779,328,640,166,467,263,882,217,340,272,216,256,284,076,654,310,820,750,544,
443,613,344,107,038,061,566,431,294,388,737,745,224,815,463,836,463,502,652,
121,441,910,561,744,356,841,077,953,473,867,334,958,799,786,598,348,885,398,
187,512,634,689,346,236,714,600,068,547,567,564,470,124,324,135,900,967,694,
486,313,320,147,861,494,207,798,339,097,394,427,157,517,697,602,224,269,486,
039,598,885,731,741,939,979,837,758,145,609,363,666,595,715,325,016,991,639,
890,115,442,996,455,098,776,508,888,013,909,425,073,459,438,122,610,229,446,
997,026,600,416,178,944,005,102,985,656,254,743,483,945,490,928,182,780,655,
887,092,250,345,576,813,026,684,621,865,174,582,342,290,490,534,730,060,567,
188,286,067,205,344,759,277,618,853,082,359,654,540,762,023,415,736,532,815,
549,994,038,027,301,352,163,059,458,774,859,156,414,146,893,849,099,280,982,
517,673,040,530,164,083,781,749,264,111,740,214,148,475,575,143,706,430,709,
397,266,319,502,560,115,351,600,852,985,398,134,771,057,772,841,327,453,545,
041,629,707,326,924,326,526,735,737,356,632,566,452,502,759,341,662,457,339,
520,299,409,518,357,755,502,185,544,911,735,699,738,406,217,356,096,446,557,
352,656,311,583,741,859,353,848,807,783,911,278,473,687,690,629,795,870,612,
792,212,342,668,053,517,072,031,294,979,099,681,050,732,969,575,939,519,888,
221,657,343,009,584,678,373,642,825,185,547,957,824,561,421,647,624,642,365,
219,456,798,576,546,767,549,632,357,884,573,226,744,395,221,268,562,829,299,
152,527,348,636,547,262,769,903,404,493,294,339,622,872,108,972,450,544,173,
982,709,269,859,036,158,584,425,109,983,153,385,642,998,782,040,895,878,810,
609,029,660,413,567,466,850,557,266,364,164,567,978,168,986,873,018,807,086,
393,882,666,221,100,037,403,301,459,028,539,491,278,359,877,256,692,382,453,
049,548,445,402,026,917,341,825,937,350,532,883,179,372,281,778,757,871,487,
436,975,974,050,377,165,678,855,715,072,987,854,346,039,651,635,332,747,471,
969,840,065,713,942,007,703,651,070,468,911,818,544,909,918,897,336,272,357,
553,098,532,624,155,438,648,910,039,653,470,032,377,854,692,019,468,995,925,
120,391,718,579,328,192,205,363,380,538,506,170,796,959,286,190,888,558,719,
832,590,439,696,852,348,186,659,977,190,905,165,302,505,996,850,032,885,147,
052,086,444,888,628,905,505,553,668,038,494,870,062,142,859,069,126,133,274,
600,731,116,926,310,258,986,320,444,227,734,063,717,827,675,553,372,078,570,
139,368,507,691,347,528,283,045,839,580,370,431,388,045,062,712,076,601,519,
780,701,755,375,782,303,921,195,243,349,261,440,507,133,032,986,552,492,391,
747,769,556,173,653,182,717,086,370,522,699,716,933,615,914,447,693,618,283,
877,344,900,744,752,790,013,067,692,122,690,872,562,561,478,077,621,307,800,
791,936,997,883,999,720,212,814,214,064,695,095,189,384,485,208,437,472,488,
425,193,550,017,598,542,080,345,991,420,209,016,441,297,448,136,893,929,910,
187,917,116,987,817,444,987,066,920,876,991,765,591,713,919,687,688,834,095,
997,680,327,955,555,270,888,449,286,200,056,031,756,656,462,613,237,213,012,
826,568,677,066,753,188,433,628,805,458,767,411,257,186,772,963,772,110,632,
861,262,627,928,834,169,746,659,154,627,521,966,783,287,367,941,056,907,687,
626,326,981,627,857,792,400,867,112,049,539,890,745,510,794,141,645,977,956,
810,420,683,802,335,687,170,444,415,335,384,022,384,775,849,998,686,982,580,
636,774,419,523,226,724,063,873,971,319,409,753,617,288,727,259,489,414,744,
268,243,324,419,397,261,979,015,975,740,128,150,632,904,986,151,148,345,920,
695,803,790,423,342,225,980,165,802,716,692,340,430,414,906,579,919,023,422,
622,011,886,823,612,999,505,667,085,495,156,825,051,036,709,531,268,379,841,
297,336,190,869,470,858,301,752,984,722,109,923,077,062,658,606,982,850,446,
954,564,144,415,240,522,054,075,712,364,540,174,978,995,779,082,767,809,125,
288,150,007,236,799,446,998,101,733,941,727,337,034,507,209,674,397,962,203,
302,049,073,320,616,469,308,181,993,282,562,310,424,517,471,236,317,096,061,
312,759,714,647,718,872,270,737,738,086,660,563,294,350,182,961,633,719,643,
823,185,114,360,218,379,016,459,226,111,070,133,925,239,883,528,879,428,207,
313,835,795,372,053,111,796,672,063,387,286,075,619,924,382,747,197,706,169,
347,250,411,741,850,816,424,521,930,300,527,833,427,551,718,814,108,010,132,
121,418,922,942,134,026,491,603,840,418,046,831,868,199,934,499,064,626,913,
980,989,604,977,127,270,648,685,477,976,322,104,858,638,904,062,163,617,453,
601,075,328,207,656,208,096,247,449,648,797,128,539,703,132,817,901,293,235,
432,302,805,509,786,072,666,013,799,768,039,962,526,508,503,730,762,386,565,
432,041,219,098,215,906,166,985,113,666,018,718,066,482,410,276,220,095,093,
845,342,639,115,377,661,242,048,493,081,415,152,604,847,795,780,300,537,255,
123,634,159,866,768,582,798,983,499,594,444,762,533,827,785,205,063,412,621,
065,768,870,744,555,477,238,978,831,393,481,997,321,130,682,831,047,172,172,
813,747,225,932,459,868,179,558,006,873,463,688,442,374,543,003,926,193,274,
140,426,886,103,004,506,811,506,267,976,247,074,197,744,208,761,828,743,263,
351,046,729,147,633,074,175,491,238,586,178,111,515,834,283,740,541,924,971,
793,745,873,608,030,296,513,814,200,484,600,186,097,377,762,464,089,855,187,
890,082,104,503,969,233,554,366,030,822,926,010,726,760,789,385,888,816,688,
983,837,310,422,920,023,278,456,129,871,089,543,993,692,923,540,718,610,165,
978,496,758,368,567,162,806,170,458,828,563,003,662,881,314,706,225,142,310,
311,759,345,444,755,446,922,160,675,253,096,945,232,059,751,528,565,441,578,
423,825,831,428,609,643,036,908,863,421,895,256,776,688,573,371,130,658,027,
779,004,131,522,252,036,342,936,795,464,267,965,483,496,368,928,797,421,639,
206,764,024,089,454,099,282,669,189,541,706,016,822,849,289,964,640,867,287,
464,438,713,388,643,198,588,142,308,073,809,724,245,995,043,853,405,687,775,
715,310,335,290,472,300,984,214,801,813,289,327,191,122,074,232,459,406,860,
822,123,051,361,856,778,945,988,085,902,196,901,409,159,477,207,344,908,376,
734,430,942,782,772,100,866,079,118,731,865,434,101,724,404,636,597,197,749,
696,389,158,165,762,235,790,560,713,666,540,489,933,376,633,441,432,781,016,
203,664,374,606,036,390,988,656,833,633,108,666,296,439,085,349,588,254,475,
596,742,727,749,484,987,784,728,571,386,844,673,170,769,635,322,564,514,179,
599,309,881,232,319,116,661,532,643,440,824,918,189,141,014,454,558,691,171,
947,854,593,421,577,371,874,717,104,517,997,932,832,576,816,484,679,743,729,
557,889,127,654,960,038,645,955,015,067,168,821,865,388,509,570,568,105,823,
384,188,702,532,250,806,583,096,939,148,313,054,910,674,406,585,770,683,863,
319,338,546,832,315,905,597,821,268,748,515,877,892,912,786,814,445,134,683,
487,068,646,207,742,373,758,732,922,254,824,531,517,985,523,743,655,891,822,
514,902,828,708,941,955,932,273,945,527,141,364,630,750,322,381,588,983,186,
530,094,902,965,406,501,667,583,117,616,706,897,383,649,770,990,612,298,989,
477,747,698,435,155,570,232,323,803,301,683,604,377,910,484,326,426,520,857,
224,264,658,152,249,533,784,598,244,522,394,060,137,233,585,611,384,514,130,
567,978,776,246,448,678,735,713,622,053,771,999,865,202,505,260,541,993,010,
105,861,165,203,183,720,063,901,510,566,645,205,634,097,005,604,482,215,396,
934,007,837,485,581,694,214,572,560,870,793,085,384,078,675,780,169,121,993,
524,089,101,381,769,730,073,670,066,992,188,517,739,069,224,331,446,003,699,
245,598,012,846,234,504,501,537,778,261,094,150,765,236,887,802,364,604,055,
467,754,070,592,308,669,621,301,964,923,255,463,224,563,495,783,116,423,942,
983,730,346,209,802,355,223,482,636,079,674,643,189,949,983,345,965,648,184,
428,234,992,808,783,314,857,185,132,904,167,332,312,811,788,713,195,217,234,
003,437,066,427,971,505,381,078,609,036,728,420,736,575,861,427,564,441,178,
501,495,564,449,326,431,913,189,017,353,967,758,336,633,751,721,932,193,415,
940,364,502,208,919,690,015,735,108,808,264,396,129,052,097,952,792,011,345,
536,187,294,312,861,954,373,528,779,921,537,199,115,199,333,626,757,766,450,
611,816,495,847,678,630,024,713,575,321,934,656,996,667,193,427,516,620,276,
756,597,521,236,063,009,145,670,388,957,487,905,458,055,302,073,197,195,858,
580,848,932,258,227,859,864,365,832,745,219,822,743,671,313,423,248,672,206,
805,871,180,342,884,047,203,097,464,628,963,590,058,691,634,166,475,486,843,
892,599,969,919,579,211,489,831,801,419,791,587,088,004,456,067,162,655,764,
594,409,622,906,895,025,989,316,201,099,290,695,350,861,591,936,367,648,108,
113,420,872,401,805,346,485,601,566,966,680,447,225,008,409,861,854,233,735,
039,536,863,045,649,461,661,072,255,061,671,739,153,338,561,308,429,455,006,
645,867,629,265,520,387,160,530,795,456,183,985,317,576,440,435,779,698,873,
506,078,962,279,325,358,572,316,959,946,327,126,988,322,525,164,003,191,958,
388,138,061,697,479,630,205,621,987,299,166,863,697,627,796,978,438,676,983,
381,486,080,744,796,617,127,174,368,735,228,868,898,695,745,817,213,795,233,
965,918,409,433,361,809,025,225,126,818,404,599,054,004,552,485,160,856,266,
838,235,822,201,664,737,863,174,313,979,895,996,644,401,842,794,810,783,022,
665,603,482,130,552,632,943,128,503,187,540,147,595,635,586,969,077,498,665,
736,380,107,383,111,307,334,005,040,747,975,398,305,351,601,816,236,988,832,
714,984,555,590,392,968,231,128,183,578,897,739,759,184,928,453,698,291,803,
754,496,907,787,026,022,849,219,226,118,781,170,630,577,346,649,651,944,042,
414,766,988,184,009,280,276,840,171,575,042,997,058,735,845,164,648,491,022,
369,241,433,479,943,187,987,436,448,003,395,872,429,970,141,125,031,122,164,
261,134,419,458,536,630,983,314,412,580,194,548,235,104,415,659,465,910,228,
858,286,280,436,575,442,709,856,868,128,221,306,149,351,205,928,572,082,480,
468,715,348,424,964,983,897,087,334,996,966,591,681,585,545,873,117,018,410,
840,940,956,121,359,677,131,540,554,805,671,977,963,421,647,444,056,152,539,
489,182,820,243,269,243,556,490,455,046,860,688,572,846,723,499,438,312,718,
234,887,921,413,148,655,771,808,632,637,495,201,330,641,785,018,526,228,069,
040,791,778,206,036,400,566,910,547,018,967,180,426,616,946,930,349,433,856,
130,000,585,976,205,592,278,713,949,409,338,135,997,711,250,539,013,118,117,
973,940,119,312,358,226,652,549,416,452,447,061,825,593,022,878,231,513,285,
638,101,218,562,948,711,360,370,410,338,262,402,923,628,474,961,227,769,867,
579,995,560,582,583,531,838,551,878,390,481,419,330,647,874,159,379,813,088,
845,962,981,064,233,555,201,208,171,309,938,668,190,807,171,945,174,676,588,
387,868,484,711,915,577,624,275,862,139,618,293,549,423,922,623,326,156,236,
186,084,450,716,618,705,280,818,787,999,492,936,997,804,520,549,401,659,312,
180,441,009,286,937,126,363,106,815,036,633,015,183,842,587,116,125,066,494,
653,934,016,330,633,738,964,741,158,009,124,054,965,977,598,894,998,394,783,
250,755,651,483,082,955,525,744,372,694,946,971,877,207,027,828,043,362,824,
966,975,524,042,960,019,021,500,361,879,165,144,966,242,951,848,445,230,305,
866,600,689,175,353,107,153,679,816,314,367,667,505,454,096,074,546,038,732,
911,492,354,596,954,699,589,110,153,397,703,669,894,339,970,847,370,892,047,
523,988,087,026,677,689,320,361,279,589,898,437,398,322,388,967,664,460,674,
883,767,183,356,490,814,252,510,987,495,003,557,569,325,607,607,178,634,558,
704,865,799,234,984,173,412,056,937,399,276,466,056,326,990,089,223,579,376,
982,973,395,298,925,727,926,751,653,916,436,191,938,694,844,679,041,790,902,
496,980,484,957,233,558,374,365,972,844,265,853,429,547,772,135,858,000,657,
009,828,878,093,818,621,864,234,226,931,840,234,731,803,797,767,630,074,544,
469,270,594,964,226,646,738,847,552,150,617,872,325,547,452,660,632,446,118,
430,500,967,133,624,557,391,245,997,349,388,080,414,188,918,637,935,339,500,
674,873,312,760,500,267,185,771,918,867,052,555,141,600,102,047,316,838,588,
006,548,129,462,820,976,637,161,158,754,618,064,469,066,887,792,243,644,627,
645,706,398,212,036,044,818,658,101,664,945,021,711,601,964,201,618,247,981,
649,904,439,300,019,656,452,401,548,082,409,728,039,900,501,712,600,736,005,
851,272,730,983,932,344,001,847,000,214,317,443,447,918,421,511,296,195,114,
477,632,983,168,847,563,487,551,648,070,564,017,004,732,643,256,433,651,282,
869,553,574,311,186,873,344,194,591,798,866,721,678,514,960,346,634,514,006,
100,443,993,851,828,686,239,347,692,523,049,683,326,523,447,940,801,972,426,
394,834,051,841,984,861,786,644,042,131,503,850,587,007,493,205,119,342,148,
112,208,031,917,284,226,814,517,169,488,284,811,759,739,504,328,130,979,269,
791,202,639,953,848,686,235,286,557,524,465,792,977,358,833,138,562,856,522,
725,251,939,550,432,443,854,581,154,927,137,667,262,300,683,140,702,417,644,
641,809,121,210,308,669,661,686,053,930,718,219,750,655,818,189,511,197,389,
971,960,997,194,991,831,376,218,203,140,076,169,691,688,433,807,760,109,727,
127,806,207,053,715,577,552,516,868,713,522,577,697,578,551,037,008,152,776,
065,465,365,563,187,589,921,799,344,674,612,927,314,983,567,003,098,249,817,
206,260,310,832,662,137,875,902,304,235,631,876,636,034,900,229,992,831,689,
047,781,755,776,035,920,284,212,128,614,477,235,509,035,381,578,800,910,196,
318,346,015,622,338,624,574,518,040,952,057,741,664,542,641,766,694,756,872,
576,937,463,160,568,983,925,303,134,105,730,997,735,861,742,973,135,889,749,
585,791,325,179,864,509,362,070,102,313,958,397,427,765,882,464,896,435,879,
848,524,663,186,308,489,517,147,711,165,110,502,512,203,058,875,803,340,258,
539,862,326,066,675,619,823,378,885,416,341,909,254,799,003,873,261,036,382,
261,075,538,497,283,367,926,203,866,646,243,028,830,652,699,378,124,696,650,
473,500,092,252,523,574,711,962,943,536,014,585,462,734,557,467,151,166,605,
997,054,131,957,513,722,524,373,949,554,651,704,180,915,879,796,968,873,490,
002,252,526,581,450,717,875,272,484,547,511,862,609,252,353,676,183,136,089,
356,962,672,328,738,138,406,258,830,290,851,302,665,299,554,047,366,268,485,
936,947,583,085,718,881,806,174,776,208,912,907,661,290,866,566,117,007,434,
043,525,549,175,004,064,724,938,174,979,111,795,307,006,584,468,453,093,547,
773,663,307,917,555,482,866,379,511,966,311,399,028,994,305,043,494,871,927,
879,125,944,532,884,315,434,485,087,114,777,353,137,118,144,510,099,459,981,
293,762,946,569,008,217,519,872,404,446,822,536,483,738,926,252,313,123,639,
015,858,337,117,891,925,981,253,351,760,401,766,165,550,488,447,698,886,885,
227,276,041,024,378,218,994,479,088,547,737,551,816,064,487,321,285,189,504,
363,694,652,930,187,281,104,419,318,750,052,404,285,473,265,308,705,375,529,
302,355,970,193,935,935,194,577,011,263,360,828,287,231,214,261,524,660,849,
108,971,372,686,077,998,874,347,469,590,642,433,448,724,686,912,770,855,525,
897,957,714,963,763,894,614,228,159,079,586,925,414,947,136,067,603,920,629,
215,638,329,372,912,153,111,012,452,134,854,144,358,348,846,056,735,660,510,
968,834,422,340,473,709,653,714,992,401,739,142,879,114,141,259,991,256,342,
757,479,566,803,805,721,848,560,113,069,144,312,406,954,131,121,501,778,814,
811,599,586,947,109,643,555,693,402,060,996,301,532,579,358,983,010,268,717,
981,626,911,457,750,456,413,250,077,752,488,352,343,418,572,476,051,417,578,
112,087,295,304,593,836,439,876,919,409,314,710,313,168,648,602,845,313,214,
145,416,384,452,896,886,900,150,536,997,895,307,214,488,789,275,416,066,656,
230,262,462,293,711,782,604,086,194,638,718,349,235,754,568,505,796,719,099,
609,219,715,458,167,380,541,751,885,760,239,035,230,570,350,194,992,857,269,
524,196,332,237,158,285,925,463,063,277,722,578,059,115,428,681,970,895,366,
134,187,200,040,175,969,539,009,860,853,856,863,436,581,166,368,790,166,207,
192,394,994,662,466,921,526,463,872,307,690,905,870,595,251,121,573,788,652,
268,038,970,793,421,494,481,637,192,482,578,810,857,965,214,024,499,182,109,
953,012,996,259,097,763,438,793,442,449,508,049,601,763,322,195,813,529,819,
330,492,855,193,207,591,722,874,482,869,054,298,433,655,442,192,453,613,895,
143,499,266,908,330,869,449,680,788,066,057,152,661,977,634,994,987,965,717,
899,739,538,407,680,910,282,626,341,988,492,849,513,304,926,297,455,047,080,
448,277,345,459,987,300,262,431,990,364,371,482,195,508,039,573,176,072,116,
964,475,125,181,694,443,368,040,757,351,675,319,952,660,009,377,728,265,256,
548,592,364,066,047,890,482,561,924,870,841,721,851,905,709,784,113,618,523,
895,582,391,937,266,006,252,319,651,192,805,529,307,844,073,714,534,740,728,
304,970,706,666,802,589,550,290,155,771,522,938,691,639,954,078,190,231,080,
888,906,686,339,090,874,346,494,674,631,819,632,844,260,797,362,567,597,120,
996,151,306,610,331,796,606,677,740,696,020,266,182,820,195,135,787,006,136,
223,140,698,552,040,958,914,936,890,310,049,072,633,628,523,748,527,284,623,
869,155,081,542,905,301,821,232,606,617,500,147,921,178,246,865,992,787,318,
135,436,306,651,735,910,378,833,551,185,018,435,531,090,711,669,710,670,941,
495,398,566,905,581,285,260,120,669,111,768,029,819,120,623,240,419,785,205,
796,431,239,581,866,091,463,978,575,687,979,120,561,167,801,025,167,652,959,
382,984,632,274,285,300,010,355,572,820,754,488,646,642,711,674,762,301,359,
623,133,573,531,833,231,887,635,967,736,508,720,900,375,879,310,869,894,422,
509,531,702,441,577,612,142,014,006,323,126,967,223,422,981,921,844,351,598,
646,795,013,183,382,955,853,753,466,333,898,977,221,210,131,257,507,741,034,
762,208,038,117,769,938,575,072,581,778,633,490,398,521,521,838,025,741,094,
778,318,602,573,542,212,284,093,387,675,264,431,782,916,185,417,520,540,661,
175,486,360,535,159,482,450,048,738,011,544,393,837,437,058,471,809,681,997,
489,955,714,276,563,173,011,446,948,066,726,298,240,660,748,691,848,150,586,
139,920,064,375,640,747,270,932,966,719,911,845,616,572,041,337,625,212,064,
024,586,205,412,414,551,735,870,075,673,109,070,726,386,070,249,171,711,836,
987,047,152,575,357,991,857,990,328,479,409,775,078,098,682,724,195,273,830,
650,017,019,399,073,074,902,694,676,745,233,284,789,622,790,174,787,352,448,
635,535,895,108,353,136,722,501,504,241,274,524,623,780,793,902,165,660,422,
766,840,233,444,003,236,430,295,377,016,278,065,324,569,505,190,861,687,528,
883,620,643,885,076,870,251,773,315,248,430,050,293,009,690,313,259,176,187,
748,152,890,240,070,756,689,185,624,860,011,181,756,348,654,097,790,609,009,
490,636,013,977,542,631,217,326,399,383,437,269,993,362,733,617,846,482,637,
653,254,427,028,524,248,129,697,835,991,106,809,864,291,107,132,289,960,034,
214,616,686,368,712,171,015,280,863,919,525,437,272,724,065,095,286,908,474,
049,234,444,898,765,643,824,899,573,444,339,574,533,040,514,395,764,427,066,
767,603,963,233,891,743,824,610,968,779,469,472,422,607,739,440,516,982,933,
088,395,934,705,028,904,297,682,212,709,201,695,511,808,644,506,329,847,192,
628,330,684,165,622,028,881,430,315,790,009,496,468,418,777,814,551,625,848,
086,351,097,890,463,363,214,391,023,747,128,634,968,739,893,355,104,191,712,
943,539,745,497,435,460,859,569,797,641,327,071,605,821,238,431,937,255,325,
873,888,782,678,873,569,230,820,435,497,329,887,682,904,831,577,704,002,134,
538,973,893,372,575,840,569,469,504,908,470,703,993,123,753,668,832,495,381,
139,741,593,577,836,237,061,511,011,654,323,413,331,286,966,696,991,210,096,
176,908,360,613,645,188,846,711,445,903,879,004,839,096,877,581,241,059,431,
715,707,173,566,313,212,531,124,595,877,123,890,352,095,659,703,695,261,547,
566,008,544,813,821,907,429,505,518,713,642,890,529,453,683,602,180,874,505,
896,421,802,104,031,448,410,575,767,903,390,502,584,295,059,474,130,343,226,
647,088,836,411,802,051,815,655,700,860,813,783,506,366,440,916,797,888,205,
723,222,916,232,294,550,210,759,608,358,910,923,696,772,493,101,028,637,447,
709,454,468,271,426,629,691,231,745,074,366,448,602,474,599,207,684,388,902,
107,711,626,088,369,625,298,615,993,871,975,823,064,814,327,347,042,118,299,
992,085,157,272,309,026,018,869,196,337,179,282,722,636,102,057,131,639,696,
789,874,932,073,282,512,947,253,369,114,559,582,245,522,954,733,046,187,697,
795,628,894,197,211,112,496,541,476,725,448,084,103,213,952,140,103,111,206,
827,074,215,795,784,824,862,006,011,600,129,134,678,716,436,873,255,909,782,
207,650,903,210,603,413,447,528,091,215,625,264,558,092,031,233,767,823,539,
646,521,233,918,057,402,663,459,679,588,697,946,519,885,969,544,580,833,175,
400,733,254,640,623,641,346,160,225,236,092,693,806,326,610,807,813,804,396,
359,584,618,770,549,830,305,441,957,074,563,443,252,767,768,512,381,244,391,
654,575,848,524,920,910,778,739,169,234,139,888,591,941,767,875,454,554,721,
022,943,386,622,116,605,184,803,727,334,108,023,534,353,354,672,733,869,988,
020,680,954,405,811,376,267,295,822,870,840,106,619,867,191,879,306,550,552,
592,813,155,873,414,937,393,861,753,682,802,347,794,493,955,010,244,435,003,
907,822,844,087,115,513,252,621,669,259,732,205,126,903,026,498,763,568,022,
252,470,193,905,491,188,812,206,059,972,984,007,257,101,040,854,801,236,983,
841,534,761,179,708,761,834,094,257,064,979,685,339,339,532,422,358,107,307,
220,998,252,383,147,173,621,392,454,482,278,208,495,363,621,394,441,742,708,
190,048,919,660,372,682,529,377,864,962,033,837,360,182,238,801,637,931,570,
108,949,341,668,519,619,626,209,884,711,234,165,690,214,206,632,196,711,406,
988,351,057,999,720,768,784,380,118,658,908,131,258,375,569,732,010,600,849,
882,054,136,106,479,220,369,358,833,967,198,277,072,699,724,917,716,580,948,
921,769,263,090,583,205,440,365,361,458,094,701,614,119,860,862,020,218,471,
236,408,118,798,399,865,834,611,931,925,433,421,138,709,840,534,327,605,437,
095,267,233,931,229,690,688,335,140,995,394,680,048,840,752,513,309,397,895,
320,067,078,925,339,517,562,892,993,995,542,423,249,262,524,595,263,495,133,
367,430,068,317,711,031,858,624,153,764,521,723,691,482,136,673,397,766,807,
318,639,412,512,422,252,386,255,222,054,595,952,026,221,958,623,721,494,847,
382,619,638,548,791,264,132,867,840,112,035,223,934,899,835,098,431,052,650,
833,331,910,456,121,698,450,813,426,259,321,635,495,132,748,546,129,602,106,
996,924,617,661,575,331,426,599,344,487,122,292,560,051,141,046,538,671,826,
567,823,805,676,615,009,484,672,281,657,620,950,150,863,752,878,725,598,857,
979,700,265,280,781,833,949,431,427,525,547,043,169,506,595,554,481,309,850,
415,586,921,827,743,714,217,776,773,464,757,059,918,013,158,139,637,215,829,
110,604,699,988,762,284,239,238,981,279,236,312,722,972,147,214,818,990,387,
114,703,374,306,234,228,552,561,795,327,967,932,674,144,094,695,018,578,335,
258,098,259,564,096,959,439,966,695,322,113,506,085,851,146,226,937,113,892,
666,272,469,563,860,103,778,205,385,756,337,254,727,548,877,839,134,347,641,
911,023,363,854,787,563,984,005,019,336,886,823,223,470,877,300,538,484,023,
227,167,164,705,051,528,983,500,003,111,212,399,891,214,596,287,780,602,296,
309,977,894,316,400,175,424,372,068,229,272,606,975,917,703,245,808,939,517,
622,987,492,442,033,332,320,342,116,864,276,822,898,357,242,776,748,617,988,
297,877,309,785,927,556,619,568,258,706,740,697,246,259,451,069,252,776,448,
160,302,001,749,966,015,771,200,861,989,903,419,182,679,922,061,997,315,461,
851,644,687,534,784,854,797,821,634,442,150,067,925,685,041,631,432,610,264,
852,833,829,427,957,213,982,946,242,162,942,395,188,255,534,604,383,539,705,
291,616,242,875,802,444,555,451,345,740,489,574,759,383,058,146,764,379,517,
323,009,663,399,355,696,509,345,995,486,187,294,498,234,886,540,795,289,994,
129,282,026,417,534,718,906,046,788,894,300,831,212,944,462,750,607,587,702,
207,444,489,140,700,378,660,876,198,732,086,767,401,277,244,201,436,392,418,
708,862,600,763,498,223,988,513,678,643,094,653,878,546,522,036,541,759,360,
499,637,124,971,503,708,248,835,952,810,200,031,674,056,876,092,874,269,172,
462,239,195,249,629,313,038,593,865,289,566,975,708,231,617,659,223,829,527,
050,406,344,207,433,943,194,124,497,524,551,766,613,077,805,385,446,022,582,
472,611,140,487,013,997,985,397,815,567,041,613,830,364,530,959,146,511,131,
000,453,848,244,951,984,892,647,911,298,754,112,465,298,982,177,845,151,547,
860,163,745,501,458,427,948,087,748,758,137,053,475,331,149,310,399,004,143,
529,318,893,420,281,457,472,122,886,040,246,290,476,292,636,671,923,336,265,
892,491,600,581,654,064,757,626,167,296,688,472,436,238,796,780,306,274,306,
061,286,383,420,519,231,051,194,041,908,901,355,058,879,028,629,269,430,737,
512,238,037,910,684,146,318,760,455,954,587,928,490,674,184,117,201,585,675,
947,125,205,445,169,752,528,754,990,029,299,772,251,988,021,752,739,435,745,
405,958,427,291,885,880,730,698,374,945,781,955,024,989,918,624,669,679,388,
526,217,947,026,625,963,689,091,703,491,929,713,198,163,217,142,822,497,017,
564,608,149,987,045,521,388,963,854,247,963,111,533,681,124,043,312,919,580,
540,347,583,077,309,344,556,893,736,240,155,310,755,286,890,704,086,326,729,
550,710,560,569,278,547,732,919,752,462,771,808,978,154,624,778,824,473,869,
148,680,762,318,981,030,658,372,551,242,455,525,115,728,060,691,527,509,570,
938,635,458,353,529,966,697,756,820,374,083,000,528,736,326,921,310,740,504,
313,333,322,882,131,501,964,173,625,505,773,201,581,341,988,243,339,916,687,
361,600,786,719,380,495,763,880,369,083,590,065,673,947,008,085,320,294,671,
045,436,971,876,421,460,101,408,682,663,743,780,288,691,368,559,590,757,293,
936,328,239,011,456,211,542,525,570,805,423,443,300,685,561,022,985,662,443,
212,923,441,078,823,505,670,557,696,260,477,429,496,945,142,679,429,288,315,
747,179,187,594,123,466,348,578,335,575,960,235,418,101,236,883,492,330,011,
138,555,953,162,201,359,334,580,837,817,785,796,430,178,861,365,264,384,368,
312,510,085,671,257,765,169,011,634,914,171,695,242,412,236,025,006,461,902,
525,518,726,470,588,965,746,941,119,712,280,973,646,491,322,288,810,402,955,
521,289,280,896,164,648,798,984,556,477,517,475,355,280,941,405,155,347,267,
548,474,371,578,122,509,162,533,600,101,801,122,774,676,356,341,119,331,890,
887,928,223,797,950,891,286,415,577,188,858,287,832,856,105,543,164,642,550,
769,612,260,494,717,442,422,889,417,405,263,547,307,001,187,760,311,555,509,
318,272,456,950,180,247,236,312,740,731,361,654,231,380,048,613,581,150,919,
568,075,182,339,958,544,177,723,634,909,949,526,098,118,656,898,015,712,690,
726,943,130,310,889,491,874,838,767,012,060,995,557,450,849,031,669,303,073,
163,302,604,700,028,700,285,856,435,728,275,469,386,252,173,919,618,615,972,
479,864,606,477,184,538,421,783,086,295,938,316,731,104,051,056,692,493,562,
507,453,598,486,940,343,352,936,996,591,617,633,504,636,357,536,082,095,473,
360,008,218,260,186,945,684,922,543,166,125,184,222,066,529,137,820,596,269,
454,607,776,770,777,958,433,963,420,687,784,695,421,227,024,703,982,671,076,
911,780,617,912,058,885,721,339,885,106,317,106,620,529,587,429,773,752,940,
829,439,932,475,552,037,332,287,314,789,915,639,520,587,531,631,220,827,858,
765,009,147,790,655,385,371,223,149,995,928,113,428,220,145,736,233,586,440,
474,701,336,026,917,468,350,267,867,964,276,142,364,611,799,448,157,332,486,
559,558,788,141,575,212,512,697,297,342,013,405,173,323,687,810,467,255,171,
821,886,145,395,492,369,447,309,881,731,499,517,321,405,639,228,963,746,716,
247,820,591,995,254,163,884,988,879,356,111,471,359,452,760,776,042,733,349,
844,259,503,715,228,246,466,592,136,914,745,942,449,338,465,350,741,601,582,
324,297,485,040,487,986,174,885,729,999,461,549,223,083,174,373,446,135,171,
292,173,616,484,872,758,815,231,599,270,730,502,380,217,815,098,068,220,558,
932,947,713,432,460,970,499,182,696,715,728,506,190,833,987,235,324,756,202,
735,786,463,031,795,396,043,784,244,639,116,772,903,323,849,994,317,581,001,
637,083,741,905,631,099,373,953,535,370,522,034,054,711,641,378,286,604,209,
653,298,818,369,606,531,425,101,254,487,309,745,708,710,688,677,500,704,825,
909,197,045,187,232,916,062,938,655,388,040,594,971,285,159,316,205,082,714,
723,350,493,339,053,867,363,629,909,066,515,919,683,244,414,673,149,541,897,
199,395,916,928,112,264,198,824,756,252,414,218,411,903,909,800,981,161,188,
713,329,336,609,273,243,008,357,334,097,521,636,819,798,095,574,793,758,080,
307,280,259,043,655,934,377,946,150,243,804,437,746,422,951,699,433,514,623,
815,325,796,665,736,528,698,623,709,064,497,306,214,152,800,834,420,001,919,
413,444,142,987,918,012,739,765,317,886,441,044,326,632,616,573,849,732,230,
972,805,900,102,022,764,170,989,224,723,632,362,230,412,313,535,259,187,720,
820,253,865,975,531,904,726,743,830,109,323,751,405,762,159,541,242,254,260,
183,957,418,799,798,763,893,759,318,210,219,671,781,618,529,903,854,518,359,
803,828,507,109,322,095,859,057,975,847,846,373,643,723,839,287,534,453,080,
335,302,539,684,535,163,748,486,125,002,294,126,230,160,831,530,063,393,264,
180,985,814,574,250,743,285,266,282,618,618,215,408,141,198,729,743,267,002,
847,806,561,627,052,324,307,480,786,919,492,540,069,902,781,970,568,116,157,
445,016,305,459,151,074,831,478,387,927,225,255,298,142,373,985,508,901,064,
022,368,372,012,217,995,736,866,401,621,802,061,560,377,082,289,663,601,601,
811,641,409,105,759,003,197,707,191,628,560,410,391,355,156,342,945,137,915,
913,127,162,589,199,863,675,845,778,745,173,950,966,895,147,693,664,864,994,
552,676,719,963,896,987,946,755,821,527,993,973,618,930,925,697,916,706,487,
272,684,537,643,021,650,474,705,086,538,446,867,909,206,259,739,257,473,949,
157,913,665,189,179,230,484,796,145,151,989,903,979,875,910,923,256,319,690,
981,376,848,807,380,988,583,807,673,223,864,095,658,609,222,089,011,511,285,
140,165,089,644,496,985,125,174,037,215,610,916,005,773,922,169,058,851,011,
837,144,358,733,652,214,919,767,644,230,101,261,254,831,374,529,480,231,500,
406,200,234,863,423,404,596,445,495,625,364,668,907,285,692,168,081,098,968,
844,351,723,936,044,182,328,568,507,265,533,019,432,304,199,537,082,665,826,
521,583,444,242,155,146,905,127,953,634,498,169,292,023,431,184,232,985,976,
536,441,252,452,703,937,126,702,029,701,520,127,488,390,465,274,674,295,750,
296,346,009,005,616,798,217,721,158,153,030,161,215,221,961,560,361,701,962,
433,454,009,544,837,980,640,781,193,143,547,362,579,297,305,304,897,389,640,
728,789,633,291,964,393,398,456,465,244,948,279,000,216,039,517,912,432,784,
405,219,919,749,705,765,042,863,321,216,675,255,210,040,563,460,303,818,573,
047,805,193,777,708,382,660,993,505,829,192,497,569,943,374,540,100,910,754,
653,292,207,210,921,060,915,776,661,990,773,756,180,025,111,199,679,491,090,
431,816,932,908,816,437,340,055,730,690,872,424,380,172,362,032,171,735,700,
744,044,976,550,901,088,846,043,453,165,163,962,705,556,350,566,441,679,077,
981,141,591,814,200,873,843,501,032,358,746,574,819,913,593,579,199,494,569,
206,993,620,639,024,397,645,737,672,137,011,922,018,262,017,881,111,033,029,
572,965,278,454,714,377,723,708,298,970,020,139,551,829,205,100,079,756,285,
734,455,868,481,066,410,192,897,069,061,799,256,251,471,441,456,702,557,364,
301,679,103,080,467,032,016,288,818,290,374,651,072,192,687,844,520,389,977,
049,743,399,408,409,184,909,391,398,704,095,277,790,963,948,346,897,412,157,
952,893,076,171,462,468,655,959,125,798,360,247,725,519,163,612,625,604,148,
614,339,323,666,061,717,081,954,478,806,004,250,488,953,437,729,991,331,847,
666,637,866,879,585,941,977,293,127,765,075,396,740,473,777,059,187,912,528,
846,395,772,837,490,329,336,665,455,856,590,356,190,937,099,884,183,234,764,
280,413,239,269,904,892,374,833,408,017,325,024,353,669,842,741,463,888,242,
862,631,036,949,078,660,497,243,803,808,126,989,952,778,006,508,779,027,387,
225,803,101,991,648,331,094,766,493,518,403,458,454,210,590,537,595,627,550,
425,450,287,349,775,720,985,169,394,151,942,738,996,327,896,823,596,298,377,
043,088,574,999,992,803,774,043,286,285,131,697,679,750,351,521,345,293,682,
400,751,087,688,346,421,188,653,334,253,111,041,497,514,936,559,054,660,103,
598,198,736,602,122,773,270,012,843,932,484,341,784,605,504,873,566,682,229,
511,519,164,609,372,032,523,628,442,949,997,843,055,036,427,782,885,330,698,
559,358,948,413,635,286,855,836,515,934,302,189,681,944,502,827,739,620,174,
024,527,689,174,757,339,474,657,365,257,878,984,362,563,256,716,883,882,205,
904,428,621,204,299,661,237,042,912,643,213,499,115,387,700,102,067,665,955,
416,029,825,283,627,500,369,516,353,957,759,294,736,860,023,058,886,729,120,
294,104,006,534,876,572,861,950,088,083,878,493,506,625,060,882,238,461,535,
999,789,428,390,167,815,707,725,009,919,840,325,057,833,665,386,794,684,827,
089,820,234,364,762,081,119,707,547,371,828,444,788,963,345,806,902,876,376,
374,805,974,504,528,591,676,314,319,837,049,569,102,749,126,854,408,725,391,
371,635,417,528,822,182,512,100,578,394,844,111,718,489,542,977,370,515,189,
128,607,960,718,765,730,177,429,752,130,051,978,146,872,810,009,290,503,114,
106,232,176,259,469,350,447,107,868,000,161,167,533,089,963,675,429,858,094,
143,454,037,145,607,961,189,319,566,984,982,516,972,895,406,831,636,543,694,
937,847,181,086,893,421,745,897,929,417,538,351,502,527,371,386,880,906,702,
436,569,530,975,967,899,167,118,490,757,345,420,541,523,704,765,942,518,907,
090,273,660,061,201,412,924,279,932,533,164,232,927,229,927,024,040,408,658,
272,714,000,301,217,628,436,211,285,646,616,854,444,323,194,898,054,673,699,
427,189,564,129,302,995,611,776,108,901,514,093,708,168,652,014,338,236,906,
209,056,352,719,328,301,640,879,772,534,547,979,188,917,997,989,753,877,749,
109,197,055,221,442,508,883,376,648,703,564,783,114,961,009,618,087,390,373,
750,166,476,018,068,944,338,161,701,046,275,029,530,726,282,315,854,513,717,
571,362,554,237,574,581,543,839,155,581,807,413,052,480,939,614,935,018,306,
132,462,359,187,733,078,717,510,339,479,225,973,677,655,903,100,456,263,092,
087,706,414,464,272,409,165,482,944,350,759,182,704,737,802,307,886,182,235,
523,510,095,118,117,847,328,025,406,879,049,013,561,219,098,418,423,116,172,
345,980,413,584,288,838,441,724,703,015,185,526,515,856,960,546,054,168,983,
671,335,805,955,189,759,881,088,901,700,294,267,215,212,748,225,436,591,026,
146,856,155,250,414,377,864,335,317,722,408,331,571,029,686,079,066,209,666,
723,284,704,237,444,338,123,511,464,237,994,473,571,890,826,758,929,963,036,
792,896,391,259,977,068,797,482,854,471,306,920,147,621,560,756,297,840,953,
280,559,117,347,211,688,411,610,454,014,209,886,722,504,804,609,129,537,267,
872,665,907,946,454,909,448,558,554,461,938,489,443,138,550,204,695,678,069,
420,509,979,048,218,634,501,736,143,117,029,724,768,117,733,341,712,426,546,
337,605,808,422,297,506,253,084,869,750,079,942,366,924,524,333,969,139,704,
699,291,895,164,262,157,195,433,467,908,524,105,480,758,568,670,557,617,829,
342,420,884,305,586,598,131,653,524,301,950,797,262,324,093,311,472,994,809,
085,718,986,570,784,155,903,427,725,504,568,117,336,708,128,785,195,268,790,
153,961,235,632,643,147,519,291,823,440,537,048,518,299,358,618,745,409,409,
837,066,117,087,722,207,341,806,533,192,067,866,139,120,170,678,007,318,028,
121,167,046,182,645,170,541,160,577,077,521,310,382,068,494,595,686,447,059,
769,340,369,768,797,388,977,373,682,224,565,546,306,752,752,091,148,536,386,
110,462,609,290,622,562,808,165,964,868,262,025,034,485,445,500,035,035,966,
969,085,810,059,891,128,636,057,202,172,574,597,922,676,055,422,160,736,957,
604,807,368,182,390,358,907,903,852,122,697,350,854,790,775,562,822,520,227,
739,589,652,679,098,301,935,791,426,314,212,131,550,888,310,204,199,454,926,
794,069,151,829,862,581,085,717,409,090,885,910,093,313,744,798,788,877,882,
524,083,961,042,862,279,579,940,667,840,604,694,022,004,691,305,977,441,267,
044,696,264,007,242,172,138,687,578,826,112,570,639,586,818,531,215,769,201,
509,921,369,572,239,539,214,322,830,908,274,795,659,204,052,882,793,600,056,
122,166,791,978,059,074,908,218,947,047,146,660,493,647,120,608,461,537,120,
122,466,325,851,344,087,190,689,618,358,157,403,761,026,575,645,525,232,241,
447,867,208,354,585,120,197,595,909,586,907,208,258,444,839,670,815,030,097,
195,283,025,904,360,825,968,460,239,206,495,827,917,307,038,940,077,703,009,
169,554,055,519,352,318,538,066,893,645,281,056,662,983,665,775,165,086,427,
125,499,084,576,311,271,987,305,550,717,558,727,793,655,347,766,790,553,382,
366,139,885,853,015,597,645,628,115,810,510,327,853,275,948,715,270,713,627,
489,481,221,491,098,544,559,296,769,510,923,686,490,488,648,613,533,092,959,
325,107,702,056,595,057,085,484,721,091,270,369,952,572,008,481,606,967,963,
303,584,243,773,536,010,086,165,339,341,360,281,912,656,270,678,421,937,865,
317,701,170,362,323,464,940,643,959,917,806,676,102,612,162,837,421,405,477,
144,146,700,781,573,742,077,321,918,038,919,586,575,720,941,160,958,376,895,
841,952,785,515,933,632,228,871,370,546,050,711,691,493,137,187,513,124,305,
465,108,056,536,917,018,900,963,586,641,665,232,703,765,371,616,024,005,041,
427,451,371,966,755,139,561,972,122,687,182,436,103,941,492,886,751,414,540,
481,097,473,779,242,695,351,930,725,348,887,691,447,313,327,399,079,848,195,
653,839,898,506,933,479,025,558,009,276,713,202,151,161,527,987,930,288,729,
064,898,621,787,668,145,338,314,720,291,823,796,291,082,192,817,464,163,795,
504,234,780,549,831,318,190,165,112,106,991,013,570,097,145,679,837,526,609,
865,251,758,649,377,373,284,999,074,567,981,514,554,704,358,812,212,090,454,
961,026,476,209,518,751,187,581,994,691,898,301,737,989,625,639,425,707,297,
928,851,346,988,560,223,493,685,597,757,534,844,713,669,586,656,387,677,690,
390,395,615,164,666,855,103,684,755,586,618,935,621,186,317,650,205,524,973,
517,629,271,716,844,532,675,171,226,611,766,522,208,552,238,218,943,190,990,
790,017,685,646,683,065,598,159,147,232,246,098,890,045,193,217,365,054,211,
516,455,288,940,873,416,131,226,277,704,748,930,562,891,959,192,031,823,932,
637,273,462,447,726,260,709,077,377,747,845,929,002,015,117,274,218,005,981,
309,249,575,381,089,625,918,788,258,582,744,383,599,753,348,656,484,982,062,
920,917,139,699,815,383,755,796,957,872,043,457,002,839,735,296,319,889,021,
302,625,862,491,872,822,445,460,697,314,702,940,493,298,153,729,619,182,469,
201,528,162,767,427,745,127,074,184,932,101,977,615,881,102,017,584,060,507,
356,526,455,251,197,731,279,889,203,517,906,696,564,856,032,461,692,836,857,
032,576,302,703,937,558,359,249,448,448,770,204,431,193,749,916,580,267,992,
365,443,164,557,831,531,386,873,083,499,927,336,622,194,139,557,148,824,411,
698,278,502,696,150,454,591,477,723,360,627,744,986,293,173,692,686,958,238,
753,020,908,417,124,066,341,563,467,511,044,572,633,637,180,758,742,903,807,
365,653,179,595,110,541,591,069,906,069,779,572,409,514,921,706,933,485,811,
421,371,140,078,048,173,520,110,481,751,159,266,437,277,923,910,779,225,945,
432,387,946,242,658,929,265,040,409,459,342,521,599,708,095,141,766,890,556,
605,355,038,189,394,579,622,247,673,227,131,367,912,436,569,679,504,535,068,
359,945,143,967,761,642,146,484,354,851,105,248,415,772,327,388,220,527,775,
897,832,136,373,836,582,285,106,278,937,200,972,189,485,950,240,422,927,149,
546,774,139,123,908,091,721,202,716,740,744,026,919,363,665,678,641,343,890,
465,990,194,398,095,442,676,921,545,865,592,404,821,547,600,536,278,240,473,
050,525,353,784,172,166,720,035,634,562,613,394,206,295,464,202,388,443,481,
336,756,248,317,803,306,594,173,789,002,933,016,229,974,600,884,960,760,814,
245,781,928,296,646,045,621,359,632,115,965,357,810,432,012,468,233,299,962,
963,311,287,678,554,729,349,217,417,298,642,370,137,271,741,882,405,768,407,
956,818,417,026,140,839,330,248,308,631,358,872,594,217,294,710,253,688,130,
902,386,296,319,221,700,600,745,572,064,913,436,969,340,195,985,242,946,687,
830,311,634,265,415,630,768,392,231,605,205,998,290,606,486,557,378,674,090,
578,277,968,211,115,582,471,835,151,220,925,333,996,857,293,434,566,998,464,
088,704,379,347,311,633,531,952,388,794,478,869,021,583,986,996,673,411,079,
512,830,801,811,517,594,546,581,144,328,685,688,446,939,038,453,044,129,000,
560,351,282,450,733,095,669,673,118,143,156,573,222,835,217,168,095,534,099,
993,367,426,061,394,010,782,116,134,816,423,893,025,467,680,314,898,675,070,
610,031,943,203,916,540,234,597,533,907,071,276,377,755,628,252,128,196,094,
490,261,051,077,300,798,212,021,800,786,516,120,727,173,009,609,609,859,582,
141,344,405,577,387,175,859,425,764,700,861,864,190,350,640,884,962,365,879,
852,745,447,555,481,899,002,422,237,549,356,757,097,570,013,598,877,988,596,
515,800,290,770,026,358,274,803,238,913,994,444,937,166,874,098,847,406,928,
374,501,323,954,562,394,478,950,660,070,704,391,768,674,916,037,248,757,657,
521,393,607,393,775,129,074,925,762,141,899,905,275,254,432,176,316,769,748,
661,805,199,897,225,012,952,447,722,443,973,385,959,691,664,358,463,763,289,
648,354,193,302,584,776,013,511,716,223,699,447,774,216,740,972,665,626,718,
331,546,604,583,551,191,564,395,792,146,575,113,917,095,622,403,788,257,413,
333,104,473,497,748,891,135,975,777,940,335,671,280,964,404,327,017,676,106,
920,942,938,399,720,953,696,630,063,070,283,829,964,585,753,382,850,861,062,
586,591,565,101,674,275,730,563,878,503,043,129,180,860,239,934,243,107,021,
648,191,128,302,085,836,364,265,211,270,550,476,675,045,592,879,444,017,163,
518,578,397,915,844,319,372,643,472,671,412,943,791,113,167,911,989,522,914,
385,531,363,203,725,891,100,840,856,031,380,330,107,941,700,804,548,679,565,
373,656,872,618,207,947,912,817,787,493,341,105,165,339,184,895,725,359,966,
374,591,638,561,220,322,457,521,911,916,930,271,847,402,988,156,669,433,729,
823,700,282,908,550,885,605,280,061,549,383,021,134,129,089,759,645,837,613,
582,068,489,601,341,634,781,991,699,585,947,764,395,561,340,978,581,539,035,
803,199,151,561,502,643,028,430,071,505,605,417,380,058,951,597,627,505,747,
517,578,643,843,278,120,820,507,523,948,580,098,107,353,502,929,693,742,867,
003,635,708,024,027,810,981,230,522,479,519,859,962,590,963,689,756,562,560,
570,708,100,052,683,719,843,259,775,774,837,149,047,626,355,579,159,388,236,
368,612,582,079,519,757,807,119,850,982,006,945,597,881,410,141,163,259,501,
965,470,600,405,657,412,024,578,575,551,193,240,155,890,835,913,980,051,524,
569,636,916,997,295,391,388,328,016,609,874,984,133,342,750,025,481,290,678,
974,301,912,770,016,187,738,773,489,352,019,620,148,069,215,254,609,577,762,
738,498,873,462,396,270,614,946,193,742,787,001,659,916,210,635,891,148,771,
262,900,716,772,829,377,530,740,919,814,688,087,501,144,136,722,328,165,582,
567,329,551,706,216,562,738,808,415,390,241,934,226,406,033,138,018,612,902,
604,593,053,943,152,612,615,325,774,750,180,890,594,249,787,990,879,782,158,
821,692,536,896,904,545,022,711,809,922,724,656,910,574,410,157,894,095,736,
484,785,276,015,299,678,327,370,510,449,862,975,822,700,031,197,356,012,587,
911,916,225,468,392,427,428,499,806,688,911,040,754,659,336,606,096,738,014,
845,470,218,849,588,576,834,036,871,807,697,866,977,867,297,307,731,439,947,
434,168,858,442,613,272,459,159,847,820,402,227,339,342,807,495,715,775,720,
805,173,420,046,547,610,829,909,591,409,838,237,371,537,420,990,138,779,289,
597,808,169,336,152,815,782,167,727,784,278,053,003,542,227,669,757,411,955,
812,398,275,862,645,487,007,710,749,182,464,695,613,002,755,079,453,781,178,
088,243,954,564,847,461,926,909,612,944,590,862,219,198,896,482,364,155,844,
176,985,864,768,125,481,801,517,044,263,822,926,391,393,551,121,287,336,825,
522,366,648,908,382,715,512,164,728,579,544,857,135,178,016,652,286,104,444,
604,588,991,653,959,251,805,722,564,236,168,884,445,114,189,810,644,271,330,
499,812,213,801,444,511,999,224,869,852,546,179,606,350,197,890,121,836,877,
497,009,175,703,614,310,021,637,022,275,962,363,370,677,345,633,133,927,626,
852,019,762,821,473,082,571,574,694,000,581,826,455,162,590,908,465,973,193,
290,312,519,083,281,757,817,094,422,612,617,318,710,290,317,660,555,822,730,
162,171,991,238,484,579,078,091,378,759,083,868,593,699,169,646,166,662,802,
586,874,366,542,843,465,801,225,454,011,640,525,340,661,461,762,469,830,808,
079,180,018,914,896,864,165,974,794,488,502,385,470,706,731,158,733,387,997,
474,870,607,288,330,260,927,008,746,296,025,951,674,464,884,931,934,547,170,
934,879,300,498,135,880,324,233,469,832,219,124,423,003,647,447,675,427,498,
406,556,190,717,708,435,654,559,775,876,477,895,416,698,527,880,279,049,521,
500,760,246,005,376,271,012,908,604,475,591,629,708,285,584,136,583,171,363,
465,236,781,629,845,493,986,327,190,712,338,635,955,546,140,474,725,878,243,
406,414,249,128,530,239,882,976,387,029,053,370,301,449,517,620,894,688,081,
874,275,547,784,324,613,807,046,784,053,309,709,325,544,101,774,307,453,859,
864,235,296,057,692,566,319,175,841,947,668,555,249,012,246,983,405,326,197,
041,366,096,427,867,474,773,942,444,272,852,850,200,563,509,250,203,175,827,
618,478,030,359,314,849,111,883,750,005,356,331,828,762,200,985,732,685,492,
319,084,091,253,210,870,788,745,267,584,864,601,997,941,044,311,397,680,733,
537,067,071,778,948,109,739,555,175,672,935,238,548,254,962,257,949,985,671,
547,076,605,373,806,692,015,388,829,923,461,872,517,510,463,064,375,090,529,
101,814,785,233,490,718,658,445,362,784,317,021,312,056,824,510,463,842,567,
505,139,043,411,449,097,781,710,009,814,968,218,813,371,053,532,332,467,143,
332,450,842,255,126,928,907,267,777,939,131,325,688,248,600,172,461,481,328,
417,794,645,441,528,794,742,523,313,818,459,057,284,891,063,490,933,192,638,
222,321,440,910,543,893,022,957,256,962,447,652,743,088,258,461,638,044,425,
277,860,597,109,697,122,178,959,167,435,602,431,200,396,931,508,700,678,606,
015,825,845,703,449,222,806,396,871,712,750,630,216,157,318,008,806,190,682,
810,358,096,093,057,469,988,368,955,656,504,083,360,046,371,753,897,770,253,
101,743,754,483,781,076,701,355,125,957,316,197,544,600,057,720,188,615,124,
015,772,077,171,819,704,826,243,514,853,354,587,727,677,148,518,078,296,976,
193,367,241,866,098,141,154,832,113,713,771,349,273,529,224,612,034,040,482,
341,339,596,625,113,082,503,826,622,077,577,008,061,427,524,391,835,066,651,
356,198,500,495,862,957,109,695,201,925,471,872,323,345,767,477,051,312,654,
071,215,952,362,011,903,264,394,844,048,036,957,572,103,850,913,917,686,919,
290,724,974,115,277,226,621,238,329,602,212,748,962,374,575,412,553,154,833,
101,055,369,945,122,780,132,089,205,314,146,635,863,214,918,192,619,915,896,
977,115,001,768,612,729,031,566,874,209,044,167,270,775,443,469,139,499,455,
216,967,250,761,937,943,518,127,347,481,128,120,311,865,193,481,860,978,763,
893,073,482,203,836,960,137,378,885,761,732,063,136,429,520,647,754,535,414,
321,057,592,961,127,392,387,889,638,556,480,160,399,862,139,919,505,245,229,
776,240,233,437,807,443,478,403,911,222,746,307,447,754,647,458,244,192,431,
978,598,983,239,049,944,930,911,110,354,799,288,726,495,261,567,285,240,871,
015,026,189,319,012,126,758,861,414,038,217,383,263,053,368,350,039,140,097,
293,989,163,092,923,073,888,511,405,480,740,326,976,765,136,314,411,309,041,
681,620,184,270,882,934,931,074,224,985,624,816,914,878,210,964,711,660,536,
316,743,600,387,351,884,617,150,434,385,927,590,680,740,434,163,598,258,275,
047,172,918,514,594,864,247,916,969,872,619,512,803,245,257,295,563,566,659,
907,412,326,289,244,274,321,274,739,186,772,394,090,975,784,258,180,017,287,
674,382,115,543,763,255,167,622,314,649,402,618,093,634,764,444,746,777,248,
708,844,723,977,504,625,187,688,104,645,456,713,924,505,744,021,811,965,259,
540,872,559,822,293,809,454,347,935,087,861,325,588,452,678,926,516,534,242,
574,849,187,239,725,252,807,154,166,493,300,920,489,062,443,157,775,587,112,
271,470,474,632,117,565,831,968,650,301,951,511,236,276,855,910,205,231,285,
114,699,241,530,952,067,627,766,769,835,029,000,729,394,192,213,420,658,150,
495,801,022,335,900,900,444,745,888,913,530,642,890,256,852,986,971,046,754,
326,424,436,682,272,578,426,620,736,385,561,659,230,589,054,007,482,400,288,
706,143,725,896,894,346,867,328,797,310,032,898,282,237,422,399,809,368,258,
881,216,109,752,216,084,203,103,940,034,291,881,928,288,386,080,186,945,657,
567,320,586,563,809,567,750,841,302,449,907,090,056,562,783,646,997,355,165,
915,526,187,598,577,324,720,912,640,957,226,503,635,903,139,025,449,033,867,
250,901,601,742,395,190,755,717,092,519,454,673,416,295,238,512,329,544,958,
582,451,452,372,898,831,237,143,377,564,075,614,866,062,411,042,400,066,815,
289,628,224,136,973,118,827,894,417,748,177,202,567,804,891,361,036,119,073,
964,764,707,862,059,916,550,787,852,205,752,630,575,243,696,407,553,937,736,
331,423,823,988,912,710,574,345,344,029,583,284,223,771,237,016,294,684,377,
287,412,041,042,090,269,641,995,846,817,144,634,525,716,823,347,369,711,112,
124,420,602,553,425,501,590,821,473,759,779,655,057,689,007,542,266,188,065,
501,057,641,727,684,035,228,736,642,243,320,375,483,859,077,288,587,623,953,
127,064,753,287,250,043,758,945,887,708,450,269,019,837,254,658,293,298,771,
227,322,869,681,814,218,244,207,549,916,393,222,416,258,184,607,171,736,737,
393,952,007,875,953,072,652,282,552,112,543,528,090,614,615,915,918,668,659,
597,109,877,827,334,264,055,203,512,400,308,417,790,707,241,744,614,792,125,
358,700,428,640,373,080,412,693,299,161,620,804,969,633,547,895,363,768,311,
437,655,173,194,650,695,439,599,140,243,494,031,668,857,517,850,531,956,805,
374,657,146,725,164,815,799,084,727,734,345,166,641,475,759,976,770,694,285,
475,554,467,272,424,661,907,964,143,254,998,492,281,364,686,156,503,740,995,
164,334,835,846,591,159,276,246,223,968,218,339,363,603,920,167,382,063,524,
219,334,560,029,025,300,040,737,507,704,859,882,968,965,378,524,138,412,360,
065,132,596,078,348,569,913,998,959,764,941,214,363,833,597,761,815,529,721,
399,059,784,906,310,829,686,888,798,342,916,781,266,192,073,288,849,356,266,
349,595,028,792,013,954,311,309,473,491,580,083,565,156,216,280,616,937,246,
811,105,732,750,894,560,373,228,744,073,136,510,596,734,535,751,691,292,112,
317,186,879,246,072,321,436,617,556,214,912,627,703,556,083,332,840,620,347,
117,697,771,835,874,683,832,054,013,868,481,545,208,307,433,015,972,102,746,
116,521,994,903,733,308,783,768,917,179,224,354,916,676,482,069,147,142,860,
432,266,461,782,738,615,493,635,397,603,031,153,710,673,483,382,505,743,951,
075,326,747,627,932,856,688,448,702,109,806,250,502,150,247,948,961,915,512,
712,065,386,590,741,861,792,886,627,346,784,135,725,366,314,003,182,850,226,
887,045,048,066,455,983,317,969,211,706,522,989,588,770,290,552,476,958,936,
379,970,322,608,911,702,218,117,747,883,485,862,655,737,373,536,902,760,091,
949,585,286,703,558,439,190,706,028,833,871,403,749,865,079,997,990,969,300,
167,607,646,861,481,738,908,621,268,140,790,504,410,257,280,642,135,106,456,
043,132,298,705,409,012,220,755,098,488,015,727,082,469,067,430,817,588,270,
094,538,812,123,227,739,400,148,681,386,453,625,912,307,689,686,688,678,718,
158,128,956,799,951,872,973,615,647,713,844,938,207,337,110,017,858,381,831,
013,340,814,873,810,888,929,970,370,184,558,936,080,182,815,894,244,215,438,
805,201,961,028,890,719,190,396,654,380,582,119,225,015,678,391,663,847,295,
931,359,413,330,775,026,336,909,397,911,795,139,100,710,469,329,413,905,927,
443,231,319,575,743,156,209,359,477,168,140,020,754,545,555,120,372,715,758,
696,086,328,668,546,075,260,208,943,296,285,951,808,029,332,185,893,118,436,
943,095,211,554,518,361,647,075,259,934,757,903,397,026,759,517,831,246,693,
049,292,252,474,650,272,263,537,047,171,302,746,407,223,815,520,109,382,878,
006,364,666,039,870,208,036,352,120,581,782,938,150,196,101,997,880,020,222,
367,796,068,193,642,111,124,767,311,085,581,907,731,397,039,481,702,814,609,
106,763,808,754,883,752,691,668,508,320,413,940,850,852,245,088,739,760,938,
919,670,551,315,112,636,892,714,630,182,473,946,768,070,039,954,327,422,957,
206,176,734,690,863,060,937,851,801,208,687,060,424,421,161,270,974,246,791,
123,595,036,767,170,178,589,085,913,929,276,726,138,448,078,635,390,258,224,
263,877,683,606,393,521,477,611,050,307,122,058,499,121,984,031,795,703,499,
257,132,741,209,346,020,882,629,920,611,514,259,778,807,245,691,670,861,919,
937,126,624,186,655,080,422,512,833,479,942,559,588,715,372,561,998,013,769,
475,681,514,120,036,845,437,496,956,480,319,870,159,226,404,157,532,109,411,
283,854,801,623,983,946,346,866,059,750,504,514,592,871,627,524,245,737,880,
500,709,225,699,556,107,822,310,665,103,276,737,898,256,319,366,044,726,664,
806,899,697,338,364,152,097,111,217,998,076,439,086,600,267,408,122,139,862,
058,210,674,663,259,516,516,480,920,020,845,651,532,621,557,908,322,394,748,
162,354,926,432,235,536,919,811,751,520,578,767,573,284,120,831,795,311,747,
911,177,614,091,017,753,180,691,992,643,643,064,059,474,690,075,237,881,956,
920,658,935,456,661,268,645,637,012,105,928,548,939,739,532,130,888,701,813,
450,993,818,732,463,205,407,171,241,314,128,188,126,283,583,144,208,552,781,
337,065,656,629,255,671,954,506,071,834,703,878,202,273,965,724,634,045,522,
640,077,904,648,077,599,979,754,538,950,687,866,900,458,706,596,401,631,855,
992,251,449,113,871,864,842,393,113,254,425,336,662,792,128,342,798,621,478,
406,081,073,906,006,926,999,385,067,746,546,418,548,884,744,951,727,493,614,
923,945,362,591,971,841,870,883,895,692,601,059,324,654,951,871,079,105,923,
059,225,455,680,278,454,152,383,344,452,664,658,995,299,077,678,527,728,875,
138,863,345,240,747,784,198,293,549,691,322,530,806,502,027,774,503,222,002,
133,736,725,126,645,735,682,067,107,999,751,780,792,982,356,869,812,452,306,
006,332,405,704,208,056,105,962,305,051,428,395,957,836,514,666,240,328,477,
486,688,079,519,301,888,412,947,025,001,728,834,343,224,750,763,225,794,620,
415,976,133,707,703,510,365,171,858,188,604,399,242,068,804,629,906,958,020,
216,702,045,172,631,277,431,355,811,606,886,292,187,552,991,112,504,693,148,
097,322,140,994,956,647,808,212,064,231,639,251,910,861,619,465,972,121,065,
619,280,515,582,062,421,656,139,587,392,044,647,330,677,560,076,699,803,268,
167,616,750,131,435,845,201,149,945,580,022,774,466,467,913,051,031,181,794,
062,388,320,608,895,107,126,900,621,267,247,308,476,853,915,555,164,925,668,
384,524,205,599,890,781,720,383,108,614,941,151,213,249,303,303,001,977,248,
912,537,331,399,962,042,388,493,883,895,840,434,394,956,079,474,021,215,597,
173,497,585,212,814,343,102,012,905,320,699,369,094,621,066,507,203,354,533,
301,779,900,791,431,596,233,198,561,095,395,822,531,679,399,658,052,149,526,
807,144,397,201,987,084,350,954,101,386,899,522,332,310,256,607,244,102,790,
013,432,630,911,013,695,183,308,789,367,171,670,577,645,500,507,941,173,040,
105,874,339,096,721,938,585,760,628,385,381,619,470,898,417,114,360,936,723,
656,477,234,816,476,257,602,987,498,999,203,104,279,731,425,665,887,712,745,
982,832,396,051,772,684,002,541,230,301,623,174,730,967,667,983,856,585,375,
485,288,114,432,849,842,927,361,132,541,443,457,871,451,626,048,994,079,008,
753,888,354,124,433,507,429,064,813,956,084,648,748,206,062,098,759,420,741,
974,548,391,305,200,321,421,718,875,382,182,595,905,913,376,471,135,427,483,
187,609,053,249,536,756,451,882,453,576,798,532,102,867,524,185,356,886,908,
580,009,836,160,822,664,114,636,714,147,049,918,196,007,748,962,387,588,932,
648,706,340,926,079,112,967,536,122,920,407,512,481,319,371,001,057,481,042,
220,388,761,420,245,758,980,086,328,490,215,594,830,285,019,709,388,008,767,
232,898,375,228,978,522,084,877,712,228,685,826,734,049,758,919,984,024,529,
822,708,341,140,475,321,771,493,974,994,908,584,597,336,666,942,937,266,004,
849,693,723,427,763,224,045,473,631,251,990,707,959,627,844,895,215,815,828,
952,997,052,571,694,423,418,098,480,768,165,313,657,261,108,197,704,253,265,
361,596,744,405,880,799,431,040,442,669,946,101,461,501,138,151,560,587,822,
437,141,826,490,693,374,839,820,421,566,717,506,796,778,395,136,703,130,546,
621,382,417,485,399,113,890,201,773,678,695,522,859,352,131,942,492,644,830,
588,425,015,058,905,982,366,921,199,029,988,975,277,373,940,422,958,453,854,
783,405,959,766,260,681,532,448,786,444,700,302,695,771,646,628,629,615,417,
431,187,585,125,253,359,216,461,681,028,737,404,173,486,992,010,823,201,507,
833,321,389,043,260,350,433,545,731,857,967,109,935,517,727,513,922,405,249,
794,173,251,901,183,613,207,155,902,372,911,222,883,106,542,516,858,701,751,
726,789,413,234,463,362,073,047,522,559,724,335,610,364,891,674,831,272,789,
846,828,956,876,368,656,870,935,432,997,166,011,296,409,599,269,805,889,007,
239,126,189,142,459,965,684,301,481,380,639,155,782,768,041,016,599,363,020,
848,239,852,343,514,677,308,409,038,218,140,557,183,533,006,420,128,481,598,
024,727,698,020,435,227,405,262,136,219,430,858,583,876,730,551,888,411,591,
185,084,258,306,831,142,234,977,002,916,040,398,697,096,978,206,208,354,273,
229,683,540,473,164,273,673,116,005,629,085,726,133,446,726,498,895,689,671,
846,441,244,528,006,892,335,936,709,048,604,714,458,120,265,165,585,288,238,
064,687,767,304,648,827,472,086,603,517,492,474,001,822,361,123,093,072,891,
890,232,433,805,075,497,141,769,192,835,686,164,811,055,062,009,120,919,507,
705,090,463,792,103,171,560,737,682,653,375,583,951,778,262,765,376,787,431,
835,943,184,813,212,245,666,320,929,368,199,623,122,217,480,797,045,466,240,
400,571,643,316,673,976,893,813,765,722,054,564,353,024,907,326,877,075,252,
842,738,433,302,471,732,692,343,287,333,946,518,055,639,942,254,266,078,354,
510,695,585,841,251,894,744,862,246,583,535,345,278,682,637,587,589,394,663,
532,435,471,423,321,007,319,990,498,750,938,047,359,706,009,566,854,020,717,
585,911,385,645,021,593,778,055,482,774,322,555,433,260,391,266,220,549,549,
681,150,880,024,362,067,432,036,912,083,072,547,676,710,706,601,512,483,782,
725,039,777,049,850,543,247,602,928,468,772,032,239,691,935,931,882,414,800,
373,283,801,674,207,223,609,840,450,882,169,789,400,674,501,287,324,393,750,
996,213,842,951,804,219,691,414,300,145,281,872,588,917,338,464,376,656,974,
383,427,328,883,978,040,540,447,997,141,488,877,000,418,527,933,672,961,791,
731,140,294,810,608,101,037,944,870,075,705,077,640,389,389,267,259,184,351,
538,162,483,623,956,243,619,247,013,540,355,175,896,333,914,444,389,551,343,
610,144,234,077,092,884,253,684,236,956,115,984,834,955,942,007,811,691,297,
218,453,733,718,373,007,899,882,965,986,347,545,471,096,547,911,622,005,142,
722,662,685,471,445,677,855,814,456,634,831,165,548,439,209,824,699,604,651,
482,139,674,190,937,417,302,695,033,387,774,181,249,106,889,115,937,534,025,
177,815,300,748,903,160,190,801,795,799,754,934,492,369,192,274,998,605,748,
374,888,514,565,346,618,308,832,605,124,680,223,963,138,880,460,585,525,303,
636,045,013,995,377,101,324,102,139,433,713,138,254,285,556,018,956,758,857,
266,365,039,480,719,207,679,818,672,471,180,503,460,126,873,372,816,699,567,
147,791,720,923,406,941,235,500,797,955,760,089,402,396,271,057,299,798,626,
810,146,645,747,001,471,509,835,902,420,104,338,249,506,641,749,398,581,563,
744,080,190,662,073,087,534,814,359,862,674,450,962,112,622,448,931,380,761,
405,022,129,858,910,448,650,906,070,983,573,964,988,950,503,194,814,322,696,
478,086,942,724,795,383,068,431,025,858,639,327,791,702,575,598,034,535,684,
473,220,820,619,870,797,756,057,892,772,790,826,952,158,479,582,566,594,034,
621,090,870,127,212,200,425,694,949,821,658,959,383,157,302,760,387,319,847,
266,088,441,683,956,396,517,728,331,499,464,373,781,845,858,876,656,107,593,
271,034,789,405,064,672,236,033,936,894,660,964,581,311,019,295,328,184,291,
871,939,022,369,467,237,464,768,427,994,552,491,875,712,490,325,817,312,501,
207,345,803,256,439,807,549,131,436,859,835,599,496,159,172,742,724,003,150,
539,880,262,613,654,025,681,148,581,143,173,762,554,167,449,699,316,348,023,
664,048,629,462,858,384,981,010,994,221,757,949,201,691,638,369,329,292,107,
645,006,614,810,978,236,246,982,594,335,608,353,208,912,752,418,001,531,173,
231,756,395,792,740,868,922,101,187,839,964,354,915,880,380,046,185,154,192,
390,646,662,997,950,913,736,261,218,938,347,086,313,430,373,216,578,393,313,
776,306,032,476,018,348,613,762,639,630,906,178,999,972,602,091,688,789,749,
889,800,541,747,808,202,364,171,423,499,380,778,594,207,063,143,829,145,839,
968,378,938,514,975,154,822,123,926,628,794,871,535,338,020,400,114,867,699,
598,222,385,493,232,431,306,690,864,864,927,668,787,801,651,658,491,468,250,
370,895,495,602,456,996,010,510,991,433,264,879,733,354,319,839,924,521,727,
954,378,093,566,569,521,601,927,600,440,465,802,858,880,055,112,933,983,969,
198,753,874,484,669,322,285,078,030,341,106,510,895,730,571,956,117,559,612,
527,112,212,296,386,905,639,499,726,988,790,449,642,384,304,309,631,913,103,
200,839,583,471,605,390,899,393,196,105,029,383,625,166,114,015,770,904,897,
876,729,859,076,311,051,951,578,374,879,919,010,353,860,254,181,505,536,368,
640,475,712,782,331,110,937,765,307,268,161,690,443,177,422,449,241,001,708,
454,736,956,262,435,222,285,671,787,069,698,766,336,009,630,598,498,458,113,
231,693,898,739,655,478,961,752,539,967,383,857,600,160,059,558,689,108,043,
134,700,284,495,440,807,534,746,225,604,340,628,446,199,295,483,786,325,159,
844,785,868,335,113,570,479,565,044,789,835,858,249,326,925,592,491,300,059,
823,459,479,218,272,218,570,516,080,283,910,669,740,836,808,970,767,571,308,
905,959,902,241,955,630,598,014,213,536,774,599,172,943,917,647,583,111,831,
707,627,000,341,918,435,319,401,668,741,860,835,770,367,238,185,939,632,836,
979,337,435,670,867,956,790,862,013,911,186,693,292,572,771,110,165,736,393,
790,743,222,453,543,643,604,755,824,010,361,845,696,881,589,911,803,083,304,
682,384,254,380,662,491,487,877,820,820,480,931,508,080,657,109,566,512,208,
764,844,914,337,837,470,379,751,382,442,053,598,597,379,729,605,609,824,196,
759,951,225,353,918,910,980,407,937,964,478,610,594,476,168,608,908,692,627,
951,862,654,662,226,789,882,456,479,740,682,443,374,897,162,688,835,559,237,
592,421,791,285,868,617,519,770,575,863,534,641,903,538,682,338,285,271,453,
348,315,327,736,859,395,995,959,279,203,157,979,912,999,571,413,904,214,462,
523,345,607,773,563,909,097,012,626,580,682,592,515,026,334,773,625,277,943,
101,854,085,492,719,031,769,223,882,584,410,313,810,472,291,193,529,723,297,
955,988,095,134,613,893,821,417,279,390,676,949,430,239,218,491,297,881,419,
664,024,983,029,173,188,942,640,753,341,980,915,949,192,443,425,715,839,006,
070,312,248,522,863,270,904,160,494,779,228,042,772,711,593,146,038,895,354,
291,116,041,238,827,999,970,808,872,164,188,505,720,731,279,328,009,390,613,
028,994,376,598,470,480,242,148,587,800,573,192,623,877,575,498,281,861,853,
520,280,038,022,459,122,173,944,116,425,758,064,806,112,127,227,304,517,282,
905,282,974,759,287,541,365,319,116,164,117,317,178,425,875,683,268,979,061,
219,191,115,773,430,706,122,260,733,518,208,435,001,589,558,070,353,393,643,
044,513,803,730,558,548,429,492,941,634,790,121,039,764,109,294,474,463,267,
616,306,472,127,775,263,318,834,033,212,718,274,424,704,327,304,053,246,517,
860,794,024,394,705,949,753,179,111,090,472,950,203,691,800,513,010,878,359,
629,744,389,318,890,486,045,194,918,214,368,093,051,646,807,117,907,299,351,
296,057,193,145,634,558,117,527,871,058,424,318,859,469,970,801,027,674,873,
671,170,370,296,636,935,434,630,821,531,569,836,612,073,688,708,609,811,910,
713,645,485,737,703,896,847,840,320,594,824,740,413,965,218,369,276,076,217,
400,088,072,537,635,330,310,975,787,720,915,097,197,521,064,543,531,202,720,
570,760,160,537,893,860,124,264,500,395,546,756,434,538,860,415,834,945,551,
852,508,342,433,772,757,787,053,132,126,279,568,783,102,153,633,233,279,549,
462,866,869,867,727,465,883,856,597,361,258,782,463,847,771,731,607,686,180,
177,355,753,820,406,024,197,713,591,991,118,886,838,819,505,137,998,928,999,
891,795,089,071,139,973,692,411,567,332,345,456,972,645,005,625,023,527,720,
762,289,864,808,046,103,009,493,123,628,926,628,549,612,619,920,924,260,546,
432,153,039,249,902,129,184,197,885,440,414,864,894,406,655,579,480,185,605,
837,449,880,459,985,353,714,251,223,941,052,179,827,868,942,051,381,289,996,
484,648,838,188,177,559,325,930,553,088,768,700,250,680,959,066,988,059,609,
776,235,168,092,087,139,839,410,880,254,243,420,294,375,007,197,164,279,872,
131,999,862,619,406,839,640,025,851,364,083,369,146,606,262,500,029,968,049,
808,085,917,816,621,337,725,911,158,676,116,054,485,627,872,334,753,266,949,
751,272,416,246,063,907,985,913,508,145,554,156,756,166,831,196,134,544,779,
557,615,642,755,278,286,483,846,863,586,348,739,535,940,401,759,798,321,646,
337,498,833,925,254,568,832,271,004,351,739,671,029,645,194,663,821,574,826,
722,436,673,727,585,907,267,879,337,976,561,093,485,125,010,151,727,859,280,
088,091,756,349,844,013,507,761,798,231,557,491,694,226,898,860,259,942,346,
822,573,067,255,587,577,299,148,011,646,373,772,296,180,057,088,272,508,491,
787,968,884,945,376,622,325,921,362,531,950,973,965,191,966,976,955,237,554,
273,319,942,901,827,824,973,984,228,436,467,883,916,387,240,699,977,417,595,
114,083,577,036,505,995,043,141,514,971,737,427,106,295,087,456,994,103,646,
132,340,063,193,946,206,755,794,035,568,839,836,440,092,441,438,146,598,589,
699,507,875,526,725,023,770,857,698,345,682,124,261,787,571,874,509,128,305,
783,087,705,098,168,197,482,714,136,178,598,098,497,669,063,372,457,830,058,
489,467,489,251,306,310,639,419,941,099,747,692,430,011,979,545,696,949,947,
706,022,745,561,722,249,712,025,776,086,562,052,443,228,502,440,361,751,623,
111,508,852,943,862,234,234,038,550,232,071,927,050,328,113,481,896,337,484,
906,213,784,198,988,395,835,156,723,942,172,518,582,742,307,931,015,418,820,
719,030,549,203,444,196,228,196,132,928,777,416,538,306,306,783,387,634,469,
747,420,633,936,533,908,366,324,962,100,615,850,762,457,037,040,703,109,778,
157,867,131,483,009,839,643,417,649,460,348,579,493,047,324,345,700,918,695,
672,229,275,455,031,266,885,403,307,896,932,896,636,373,416,968,190,731,555,
036,806,670,145,995,599,726,288,890,133,159,639,578,526,626,266,261,530,088,
160,401,899,604,034,240,392,529,517,440,088,751,345,097,143,025,747,112,652,
665,973,807,565,249,450,542,528,218,167,586,392,965,769,640,573,857,131,794,
813,251,860,958,014,027,231,585,930,119,190,913,000,450,821,843,387,350,746,
605,337,419,620,522,007,832,684,138,251,968,712,386,629,945,584,489,177,737,
727,309,989,652,202,443,617,039,652,392,401,551,021,818,901,350,571,914,779,
603,182,130,446,498,045,550,327,678,586,634,997,767,209,198,916,203,570,460,
265,881,734,678,546,122,438,580,863,575,962,865,271,105,970,213,798,046,945,
872,509,782,304,692,628,831,440,685,603,263,723,714,378,272,854,157,231,941,
151,256,807,698,666,421,436,228,483,434,745,840,403,000,521,565,460,876,191,
499,106,702,559,739,754,369,420,426,088,785,661,759,926,159,448,184,838,996,
193,899,604,811,982,867,631,430,053,974,785,657,204,842,489,310,964,125,412,
522,920,710,657,677,509,194,306,097,673,533,014,437,985,677,002,280,015,714,
425,522,189,017,536,269,428,136,805,635,537,940,903,874,767,687,803,783,428,
686,974,550,814,351,814,763,741,695,439,893,014,630,480,126,758,506,835,212,
691,046,474,835,009,914,790,578,009,471,909,808,274,674,779,430,829,403,066,
947,510,839,814,447,159,058,858,324,169,543,665,884,095,264,655,763,383,658,
510,222,380,206,603,815,238,500,685,493,419,943,259,677,730,195,281,554,633,
067,993,147,628,298,848,167,017,712,337,405,967,848,947,711,426,539,128,206,
515,383,032,271,444,552,538,826,699,714,205,265,846,972,271,972,010,434,929,
888,969,127,289,296,929,514,360,248,155,951,257,179,143,776,686,437,034,598,
244,044,255,317,479,672,302,990,324,338,096,491,657,139,924,662,296,541,656,
257,265,161,888,788,878,383,982,105,721,230,850,067,953,698,330,059,822,674,
745,914,533,694,270,120,673,095,330,666,240,136,479,994,748,931,945,342,072,
333,404,845,105,513,269,700,724,865,034,748,134,370,182,536,929,240,423,673,
547,309,072,226,257,355,619,937,938,843,991,778,972,497,066,938,114,085,467,
149,718,211,495,334,364,961,321,520,412,601,206,482,937,389,177,048,750,909,
365,924,171,866,479,616,393,357,027,054,466,099,673,182,880,407,065,926,701,
311,048,965,974,376,219,929,904,225,620,075,504,254,218,030,272,145,398,341,
750,503,965,770,973,080,617,084,923,762,592,352,631,500,491,964,823,363,340,
426,104,213,970,862,862,825,826,734,340,835,893,871,230,026,425,917,350,592,
719,134,977,606,813,164,640,864,997,907,488,539,828,517,551,824,435,787,780,
693,130,761,365,032,734,342,598,592,071,257,362,839,523,230,687,101,308,302,
316,109,768,070,010,513,819,868,329,334,451,972,046,139,809,506,257,688,196,
176,704,839,564,377,408,781,854,051,448,498,612,961,770,712,765,278,074,679,
628,922,674,165,687,213,163,939,771,709,631,504,831,619,404,260,975,894,331,
625,261,271,559,537,694,314,937,651,726,341,921,340,557,743,888,962,237,901,
504,321,856,361,386,929,735,258,008,191,493,757,150,195,417,023,064,146,390,
087,420,739,889,966,704,630,809,719,829,639,940,809,197,813,457,290,188,152,
294,477,204,489,918,222,028,516,928,164,751,708,481,099,043,616,677,503,425,
617,994,609,762,620,231,888,198,364,491,781,282,272,650,218,756,376,435,153,
918,227,143,543,293,239,406,868,442,180,016,924,140,237,749,906,900,811,777,
866,752,060,067,933,309,389,331,717,180,296,193,997,265,105,803,920,100,911,
809,319,326,115,860,277,176,949,976,121,807,715,731,301,688,517,471,171,659,
798,410,762,862,830,416,524,315,536,311,589,305,345,816,198,716,364,020,640,
908,016,141,320,791,625,253,517,836,854,381,062,421,790,736,236,489,454,936,
028,233,572,461,720,426,467,889,064,713,998,864,530,394,860,026,613,755,222,
462,316,402,317,860,635,707,097,516,667,790,082,416,812,131,908,104,560,655,
795,709,899,996,169,397,036,333,389,497,009,198,924,090,518,598,031,602,224,
356,551,224,797,389,503,425,138,291,288,632,674,990,045,282,555,761,125,901,
610,349,707,751,870,628,401,163,646,559,955,156,799,996,778,203,337,930,030,
579,236,529,867,903,530,930,173,942,976,427,726,135,701,665,125,607,636,209,
086,168,839,833,719,727,158,631,711,245,252,215,828,791,193,824,029,198,290,
808,207,127,901,662,757,124,579,043,424,124,220,465,338,563,873,597,842,455,
319,446,662,410,154,312,795,652,813,302,295,343,062,116,351,086,257,061,822,
036,088,332,690,144,167,825,704,764,379,444,237,070,264,563,401,043,953,676,
293,363,267,724,673,766,120,463,738,970,342,586,672,685,112,395,157,375,654,
103,265,907,191,465,994,533,484,425,086,269,959,314,087,139,068,119,951,949,
172,175,728,118,683,447,279,209,400,465,924,686,166,100,071,406,723,819,153,
730,612,881,823,777,602,325,714,074,319,008,521,496,910,224,218,728,903,432,
947,855,700,124,490,290,227,862,033,354,399,564,180,662,366,694,248,919,538,
248,125,996,497,245,159,580,816,446,175,689,315,103,949,175,809,955,025,919,
219,835,170,666,377,401,422,814,023,311,628,273,210,515,390,523,771,689,238,
438,231,285,755,786,067,599,085,695,329,876,150,623,428,443,073,642,413,791,
051,286,238,220,257,749,470,034,952,499,235,096,443,438,619,170,438,594,310,
507,434,609,596,262,867,098,221,618,738,966,223,999,262,946,101,584,302,181,
464,133,373,071,088,684,935,708,852,561,310,333,439,230,424,679,941,762,134,
685,033,957,206,959,070,249,664,422,318,599,499,007,616,780,321,059,277,626,
447,366,461,605,879,126,883,984,131,700,977,810,318,293,688,938,437,207,592,
440,934,639,330,846,276,362,787,215,411,716,113,930,213,124,093,820,634,219,
428,452,654,593,487,012,202,077,305,318,799,462,851,364,826,422,578,858,501,
922,749,749,604,157,948,512,951,751,458,941,923,627,778,891,514,772,277,667,
861,864,900,075,254,242,042,327,842,607,297,584,249,005,402,134,524,365,336,
054,569,128,525,967,403,363,322,015,718,946,720,647,531,084,016,585,464,413,
054,278,522,823,865,871,846,438,986,311,175,532,891,748,120,346,009,142,310,
761,945,273,744,562,293,212,543,858,327,270,390,116,515,940,242,511,511,619,
419,777,704,051,818,241,263,526,610,896,154,207,947,939,114,194,330,288,510,
597,629,445,728,530,597,782,882,222,750,611,024,075,569,314,621,507,103,097,
952,640,990,857,316,038,393,078,350,469,135,753,393,145,544,811,829,804,622,
825,164,583,517,769,774,719,069,385,765,445,755,381,151,872,963,593,248,146,
172,950,613,456,581,011,713,999,603,003,552,159,193,681,599,089,159,811,608,
655,482,895,523,552,156,899,132,171,878,672,000,849,273,809,151,237,626,529,
740,184,863,542,151,063,516,718,799,620,939,575,761,541,341,369,717,407,315,
911,396,986,382,775,737,050,669,161,762,600,497,670,389,942,252,400,212,442,
202,502,242,312,152,238,848,981,547,921,651,302,645,219,133,800,809,264,494,
753,919,051,411,654,307,571,870,072,313,789,954,921,107,014,215,805,619,089,
016,478,345,904,023,309,019,795,066,009,971,763,785,549,030,979,722,509,864,
273,860,284,461,162,477,673,027,235,589,959,921,553,268,203,120,782,765,145,
068,965,374,021,551,723,335,538,771,504,055,070,334,493,453,746,968,025,202,
831,268,347,125,720,976,835,403,307,986,087,785,215,810,741,287,481,668,580,
596,178,507,765,490,018,357,698,296,229,615,893,554,792,582,695,757,445,653,
290,255,486,391,949,936,666,625,768,865,210,839,401,085,770,074,646,224,971,
630,095,626,016,016,583,699,251,682,839,131,340,751,357,702,579,616,126,300,
822,338,016,673,663,025,404,700,422,104,508,607,777,724,276,046,877,629,449,
433,484,954,906,294,865,144,816,748,635,418,951,905,450,045,946,761,483,942,
132,898,206,064,479,748,633,274,729,417,653,924,662,028,487,723,215,193,685,
246,159,767,091,071,715,154,358,486,914,072,867,041,655,354,816,476,055,443,
395,668,470,967,633,765,895,894,509,324,415,483,470,224,734,220,277,825,240,
230,113,174,363,551,351,983,407,102,472,188,879,192,762,543,539,504,391,993,
958,485,311,832,684,068,677,270,627,022,001,298,731,785,397,376,385,569,180,
257,776,253,547,225,542,000,646,458,250,199,837,294,134,240,128,301,857,664,
689,409,841,025,976,296,122,510,466,556,824,809,934,533,981,719,918,979,857,
529,655,822,247,576,172,163,781,823,880,552,989,770,868,901,505,348,297,575,
676,483,088,897,983,923,925,051,798,740,023,966,081,533,119,561,173,092,775,
116,161,370,124,519,979,227,745,533,395,793,451,493,205,658,070,404,483,752,
362,941,440,460,555,851,265,229,137,099,838,794,050,460,894,112,674,364,453,
989,495,000,458,986,087,724,681,375,485,013,586,867,173,492,108,885,120,892,
605,494,682,640,220,452,762,135,115,740,748,233,369,783,126,274,762,747,932,
466,580,537,153,753,490,651,010,939,785,043,192,522,879,283,994,351,837,104,
439,400,786,818,619,842,110,214,180,795,877,018,277,883,824,512,233,450,533,
509,647,942,167,302,749,380,298,887,133,478,892,252,010,487,626,074,826,110,
835,024,163,493,756,574,707,650,795,110,737,867,619,032,296,210,445,061,916,
758,521,345,767,593,658,534,681,269,893,064,331,649,154,390,814,434,894,191,
845,778,536,747,258,434,710,067,594,044,576,575,193,943,687,708,368,872,614,
232,240,822,317,553,999,150,470,529,988,585,924,267,600,082,353,930,388,078,
211,733,198,239,418,582,416,911,706,700,481,124,525,922,195,797,680,787,902,
190,916,584,788,438,604,763,994,068,029,765,604,614,758,900,891,139,209,991,
225,879,388,512,256,807,688,648,199,996,763,443,699,792,862,445,317,699,911,
234,716,910,208,243,230,916,935,390,609,970,987,005,839,141,771,060,930,012,
919,656,992,238,091,573,972,753,948,447,039,851,597,199,416,505,937,542,004,
541,862,957,016,073,058,779,638,442,681,682,189,151,748,998,997,057,625,483,
233,377,456,276,189,690,897,795,078,336,825,689,559,679,149,800,427,885,570,
168,120,416,970,921,352,699,764,005,129,770,250,617,139,623,037,590,646,948,
936,216,273,627,675,458,436,228,591,364,604,088,097,415,336,974,146,057,413,
087,991,856,176,401,512,372,275,603,245,499,149,183,116,112,412,871,118,177,
330,648,362,650,533,422,360,011,514,957,606,375,289,865,939,730,296,396,782,
628,395,712,395,094,977,832,388,212,904,038,957,855,418,907,008,838,827,615,
118,835,800,027,771,193,596,226,948,031,794,360,654,075,907,691,169,908,653,
734,796,184,669,711,826,058,173,153,375,286,622,426,487,620,801,808,144,813,
294,542,973,488,901,439,265,268,224,923,847,313,083,484,761,841,661,643,533,
039,931,490,505,057,500,445,066,323,906,135,644,595,985,193,189,078,203,192,
367,836,709,541,457,384,676,824,877,064,744,317,025,370,998,958,832,292,077,
483,808,128,123,769,138,075,833,661,087,244,535,802,830,254,538,638,288,661,
616,187,576,318,646,289,381,554,073,790,655,964,089,392,920,943,060,464,427,
026,293,039,830,752,450,127,573,094,055,532,855,505,054,687,326,199,680,021,
184,793,207,831,955,769,810,672,637,046,476,958,351,287,377,010,735,151,862,
639,653,486,200,449,588,147,535,393,511,045,932,266,047,440,936,579,906,418,
928,289,628,789,089,126,034,826,843,930,351,555,311,988,056,078,898,600,135,
551,357,449,658,063,840,649,647,891,457,532,894,572,026,077,569,868,424,003,
253,874,067,882,948,315,399,879,575,475,343,435,546,634,961,777,526,744,526,
762,024,674,457,211,562,664,999,160,101,826,426,642,474,820,120,472,310,964,
797,155,251,484,572,959,798,360,380,478,797,317,980,161,477,672,092,158,289,
912,395,185,056,519,629,070,334,136,153,294,097,270,660,829,494,162,484,299,
876,409,393,265,702,924,510,455,059,524,485,763,404,454,547,401,695,169,087,
833,801,882,867,050,317,890,174,539,815,136,720,934,026,471,052,537,973,023,
883,748,894,400,848,376,746,566,398,480,789,618,368,544,469,238,293,087,618,
496,982,027,989,662,909,554,039,257,631,975,908,590,703,206,770,469,223,566,
268,263,069,877,350,176,931,148,193,933,381,779,286,667,046,269,858,939,263,
690,367,008,882,833,061,635,543,388,238,863,653,091,578,766,186,047,004,040,
177,880,260,019,293,565,852,207,547,302,899,107,170,390,490,832,930,516,859,
083,792,217,102,286,815,387,190,410,557,347,109,059,819,630,875,343,360,304,
855,884,303,646,725,038,422,246,994,684,292,880,367,171,073,132,452,056,047,
222,452,870,421,722,795,944,120,982,177,019,393,540,889,674,139,537,030,342,
394,827,657,728,916,391,067,231,675,168,470,779,115,613,314,010,637,530,968,
602,058,145,220,394,487,327,986,010,753,051,975,625,467,146,879,278,357,314,
739,742,812,703,358,540,946,997,801,399,756,838,425,109,578,927,529,888,375,
125,437,157,770,994,634,395,658,550,297,085,293,910,665,649,063,276,996,613,
962,153,986,479,410,989,690,848,222,295,098,101,878,944,687,912,639,435,563,
461,073,151,192,685,528,043,102,989,364,709,145,199,008,610,206,843,206,297,
458,256,057,273,887,936,765,843,466,385,584,515,502,232,766,007,478,492,105,
770,524,321,600,292,123,054,551,723,392,525,409,757,645,952,842,153,300,495,
180,914,506,383,291,807,609,354,384,792,284,803,418,453,641,731,439,834,248,
970,445,620,129,795,873,310,904,191,288,896,970,184,039,223,740,930,154,910,
909,230,639,460,345,862,273,968,988,177,746,088,978,968,404,568,151,026,378,
398,828,571,387,055,126,232,716,243,778,581,312,602,549,570,407,240,787,133,
662,227,944,919,613,339,673,653,017,847,994,715,309,930,586,043,527,702,621,
307,729,735,109,374,584,950,220,169,519,852,003,689,531,613,624,392,831,688,
639,842,984,705,130,878,341,227,537,112,628,417,733,671,240,498,174,894,361,
626,193,349,290,807,296,284,307,996,162,942,150,938,919,321,684,032,179,410,
901,222,930,901,525,913,847,902,058,749,445,643,356,461,148,116,887,677,663,
459,391,498,766,187,497,891,282,387,352,388,076,818,782,783,667,884,261,766,
195,974,792,446,814,237,398,647,308,545,515,872,804,138,327,179,562,548,043,
054,167,827,850,550,121,844,050,546,377,541,618,189,093,830,910,680,209,065,
653,277,676,168,573,865,882,247,799,209,567,463,027,485,263,049,895,937,973,
305,548,031,346,810,327,094,125,569,715,775,127,219,052,623,250,376,772,896,
616,112,024,311,764,505,081,935,087,800,100,689,148,812,782,479,175,637,560,
690,416,714,725,340,853,067,596,946,088,682,668,277,454,041,757,600,375,077,
562,310,483,650,043,451,397,614,332,942,808,326,764,215,526,594,163,632,753,
475,402,987,541,569,582,964,638,924,925,577,427,226,605,391,952,723,126,347,
662,654,245,237,685,120,485,503,790,687,809,808,526,528,986,279,929,714,906,
346,475,217,564,430,157,416,758,595,503,321,535,413,271,287,334,110,507,369,
893,636,700,283,922,091,591,974,834,589,997,210,000,423,274,110,216,265,459,
987,926,898,188,430,302,539,612,821,850,338,572,749,838,640,697,474,948,045,
108,940,472,072,078,492,098,215,763,700,897,480,741,841,570,926,513,243,412,
510,480,973,108,387,703,903,674,766,996,937,988,385,742,145,658,730,036,642,
896,514,142,447,326,532,431,135,786,165,060,675,407,404,706,218,570,148,303,
509,464,815,245,963,097,315,379,041,269,440,182,463,359,508,098,847,985,419,
051,897,803,818,492,478,428,599,807,427,286,485,455,908,976,933,844,500,165,
908,060,299,764,116,508,849,511,763,147,169,049,568,371,134,735,162,294,699,
314,332,368,261,306,322,764,344,952,197,689,941,477,030,122,799,000,075,703,
886,575,544,015,153,042,363,964,146,357,955,712,322,349,175,296,434,375,945,
911,060,592,343,619,857,339,977,794,986,030,745,501,676,685,444,271,693,715,
290,966,836,668,597,992,322,034,698,413,013,132,062,015,441,764,605,990,510,
872,427,837,242,220,178,644,898,753,271,216,234,726,414,831,079,285,537,691,
440,365,061,261,945,281,182,673,666,366,950,209,539,886,264,710,930,684,391,
918,786,139,614,189,881,519,990,237,461,843,721,412,624,163,108,749,087,325,
661,762,041,832,095,990,729,901,579,558,510,480,662,524,338,112,665,450,697,
656,707,702,906,912,728,929,802,631,066,956,910,998,478,325,894,602,538,769,
720,186,318,350,807,178,637,938,263,009,833,635,821,284,143,938,988,710,929,
807,730,571,919,581,135,807,775,086,246,428,244,049,081,815,346,491,040,289,
980,450,764,055,626,574,059,990,655,773,588,542,784,673,510,016,532,132,429,
017,762,938,891,815,156,316,411,331,807,014,280,479,200,746,078,225,190,967,
893,258,697,983,294,673,016,193,090,795,574,110,291,147,803,699,643,337,616,
414,693,486,126,884,733,075,391,572,591,571,992,851,829,406,704,689,030,163,
775,787,225,170,675,142,495,056,945,888,896,542,444,050,613,386,850,812,136,
677,304,692,661,980,940,826,828,084,053,218,639,109,474,841,153,518,557,422,
742,834,528,702,115,710,389,816,655,464,400,765,361,433,675,723,422,573,409,
683,282,475,640,577,013,185,089,640,553,796,091,489,708,125,636,012,064,495,
484,920,199,874,600,197,577,443,568,260,799,984,365,689,212,215,280,289,319,
605,376,803,632,906,905,702,222,963,803,307,787,218,590,436,664,114,416,927,
203,297,595,520,952,120,996,271,062,521,532,331,857,966,191,612,659,733,429,
233,990,150,608,651,508,264,565,846,747,563,336,637,178,349,490,897,631,087,
505,434,904,245,814,569,282,684,618,803,263,439,034,261,451,567,480,569,388,
699,618,621,381,945,541,082,920,784,543,691,207,253,375,800,444,404,110,625,
177,772,594,487,843,285,222,704,127,768,602,003,126,194,110,392,686,207,034,
780,622,694,787,431,495,896,288,638,507,400,548,749,898,922,606,354,947,480,
561,585,843,663,590,850,187,386,302,023,048,058,261,366,006,085,733,080,591,
217,055,979,630,406,359,378,236,277,138,952,885,330,529,816,707,568,609,282,
520,592,098,383,007,909,106,772,997,111,721,279,853,255,659,442,723,229,032,
281,996,884,138,295,454,330,210,696,291,350,899,525,715,189,276,666,367,879,
086,762,732,930,072,184,276,814,845,660,305,273,607,999,610,597,895,273,803,
023,405,102,906,925,796,480,955,703,184,926,462,608,026,420,414,493,364,109,
618,981,474,771,751,556,073,429,948,652,204,418,682,771,721,874,037,510,875,
040,097,057,880,269,119,799,065,450,195,918,442,862,861,915,551,663,475,864,
635,912,162,103,125,953,742,538,135,086,675,612,946,763,831,802,137,405,827,
134,806,077,782,226,388,339,293,400,317,020,183,806,245,596,430,184,930,608,
283,916,868,089,864,729,750,047,924,780,369,522,348,155,401,693,409,331,173,
443,530,932,858,747,815,274,049,198,132,988,586,980,077,687,390,847,110,558,
896,602,928,062,986,374,645,527,798,640,183,867,813,542,878,304,938,517,873,
110,048,846,080,426,073,288,153,876,011,561,250,893,753,283,316,752,493,078,
075,580,203,932,805,891,134,140,548,572,624,146,348,284,533,502,469,124,687,
708,051,217,862,925,225,258,267,026,411,520,572,439,616,079,971,217,261,999,
238,736,523,813,400,438,293,387,708,960,869,910,538,692,804,883,320,339,517,
320,771,061,957,453,701,397,193,328,754,836,338,483,586,677,316,145,487,964,
890,281,578,783,904,385,951,443,086,166,423,126,375,443,690,635,253,171,475,
096,536,503,843,490,232,003,255,697,837,031,529,899,436,156,168,216,700,700,
940,004,506,893,679,156,664,403,852,321,819,470,895,408,042,311,466,958,442,
409,595,814,151,028,184,319,156,505,714,097,209,442,162,262,959,975,863,779,
431,831,916,890,995,846,298,382,442,452,214,000,166,751,265,693,350,763,045,
503,164,540,210,360,101,279,827,863,003,877,995,230,007,527,895,594,838,474,
162,966,904,302,051,377,784,140,090,404,341,903,711,029,402,282,943,659,676,
293,926,347,510,167,702,086,445,654,373,752,267,389,975,545,507,720,448,495,
315,060,802,484,442,707,492,641,302,051,474,797,679,593,118,114,222,288,258,
634,464,513,188,908,725,055,081,991,605,733,667,449,471,913,406,823,061,594,
865,144,595,621,730,979,874,885,363,216,015,127,519,832,951,824,193,207,346,
116,391,904,893,554,799,954,899,075,719,821,770,732,062,581,071,314,177,224,
673,135,128,033,861,494,243,276,366,036,065,929,254,957,900,981,375,699,019,
103,765,209,579,295,626,886,361,164,757,781,617,382,661,580,233,784,087,319,
113,356,344,675,509,383,591,015,709,491,331,886,641,261,814,092,952,709,756,
284,716,854,093,141,480,183,239,100,199,735,052,883,556,543,371,177,951,255,
829,773,418,297,064,246,286,529,257,018,275,087,633,230,130,915,140,637,089,
373,366,298,851,588,409,434,587,006,040,261,971,705,307,915,437,067,164,953,
644,692,740,657,724,727,418,434,344,694,111,923,026,362,235,345,006,981,288,
007,110,576,168,042,445,537,163,936,276,545,781,617,589,628,871,490,446,777,
512,399,913,619,997,731,394,488,446,191,616,749,956,893,435,098,479,657,125,
023,901,309,816,172,239,565,826,720,511,910,841,048,019,801,865,346,487,071,
016,000,580,737,009,527,714,806,729,310,339,128,026,873,537,565,129,192,729,
409,593,114,164,163,274,196,478,424,606,281,860,345,983,152,740,168,458,610,
216,162,046,799,100,678,084,352,823,621,154,440,838,315,098,425,180,830,167,
614,341,223,504,213,056,760,811,917,051,453,485,657,921,929,928,487,038,051,
830,412,242,914,245,888,526,419,069,968,983,552,187,693,264,919,051,840,850,
981,978,897,281,902,379,131,051,001,985,932,154,234,458,261,368,576,898,743,
844,353,652,734,750,316,896,259,957,569,231,102,817,061,960,661,903,249,710,
575,657,759,206,756,186,372,023,526,950,886,408,689,468,407,677,715,471,359,
931,637,892,419,754,857,968,530,978,619,240,170,411,058,770,651,610,532,552,
827,037,947,626,005,619,971,483,672,538,761,048,313,625,815,963,524,052,440,
477,441,373,435,084,178,976,997,077,577,823,224,857,822,608,577,686,982,707,
213,429,321,598,548,472,366,133,383,310,682,788,041,367,607,327,492,472,888,
740,269,534,541,576,089,387,977,529,203,335,362,112,287,631,940,587,315,648,
302,979,027,259,862,067,510,296,978,382,464,956,204,624,502,316,883,290,669,
394,985,826,788,011,430,351,493,573,236,586,761,478,183,857,787,853,732,729,
366,537,078,135,961,144,554,443,498,134,259,805,740,692,884,300,186,866,213,
584,662,194,369,647,593,763,688,694,199,212,105,437,101,369,866,306,779,583,
526,031,583,779,545,114,650,107,556,855,540,258,216,447,423,396,627,127,695,
614,804,817,891,037,954,072,603,261,923,185,050,681,511,834,622,562,835,794,
875,548,384,043,441,326,561,295,119,822,711,836,680,849,263,865,167,172,886,
287,709,043,798,534,863,082,321,337,784,431,904,141,762,709,412,363,362,257,
227,450,760,330,634,877,035,353,211,934,463,694,358,754,936,764,191,188,331,
679,177,991,299,317,585,264,122,660,329,501,028,181,711,563,600,609,962,794,
139,060,188,731,593,527,151,353,692,180,992,888,752,227,762,881,972,471,858,
131,082,874,823,410,531,639,947,930,710,004,972,369,369,557,778,020,891,665,
704,589,758,267,223,154,561,178,697,747,425,736,043,843,164,238,646,675,048,
001,779,056,881,840,374,794,019,739,522,066,285,749,194,272,992,430,224,937,
836,776,059,090,168,127,657,614,491,982,948,432,922,507,912,230,953,471,038,
201,416,445,120,699,914,667,537,767,666,439,987,144,704,770,275,920,267,214,
642,457,961,556,030,054,075,353,070,509,269,006,942,686,512,105,512,655,436,
093,003,802,297,453,052,138,240,656,667,054,320,355,160,878,355,685,357,899,
836,050,189,733,470,479,539,830,108,683,126,047,402,752,868,172,236,989,616,
677,847,498,128,544,627,053,668,965,357,511,885,660,152,431,133,115,930,325,
236,043,287,475,367,609,740,664,847,966,211,544,552,897,286,270,202,916,374,
777,061,288,537,796,487,976,231,337,808,983,544,590,501,473,483,832,099,877,
965,687,276,429,620,584,291,736,521,648,995,536,792,420,485,180,036,039,313,
881,103,497,374,429,869,694,130,742,858,041,831,740,143,585,970,605,424,620,
256,994,729,922,273,451,994,870,082,717,202,135,257,687,108,362,605,703,079,
334,814,840,689,251,415,038,041,575,400,474,640,549,387,717,565,981,402,384,
376,879,010,115,847,627,130,962,915,784,934,011,606,852,969,225,530,614,939,
183,777,390,511,926,192,460,920,578,094,192,235,413,487,979,165,147,619,982,
789,473,258,846,133,856,387,605,369,270,078,031,918,841,690,747,833,566,773,
906,180,052,156,250,443,079,774,524,863,210,951,008,172,214,698,188,840,251,
664,606,748,871,709,777,269,722,792,093,657,203,607,285,727,018,107,979,379,
706,233,738,783,549,217,969,429,882,928,651,182,411,181,259,048,783,624,574,
276,716,673,536,829,416,826,006,481,712,579,608,570,761,192,131,922,925,225,
527,504,569,933,931,782,580,102,006,262,837,660,961,745,997,684,252,942,946,
240,933,160,498,119,577,529,755,464,645,003,621,429,198,512,942,213,796,581,
252,115,601,908,716,342,857,777,943,128,768,336,343,884,019,676,535,109,029,
489,965,876,364,862,546,802,547,464,356,271,307,062,271,386,751,986,465,465,
259,028,246,941,817,867,870,794,739,853,823,666,939,751,786,221,467,158,981,
616,870,514,811,243,676,281,407,432,933,437,720,456,891,936,526,720,280,282,
164,144,633,234,882,011,040,852,801,641,250,697,649,964,582,087,399,633,414,
303,663,438,356,761,844,060,175,769,271,374,873,127,335,450,989,766,420,612,
125,908,466,375,417,025,963,078,142,927,990,947,578,297,826,183,926,568,185,
921,694,815,825,046,696,420,594,408,294,181,154,858,618,158,283,801,297,770,
817,662,212,448,096,386,166,495,407,970,521,232,506,843,663,425,661,400,631,
019,927,652,624,551,255,057,422,557,456,419,619,553,327,101,271,604,708,300,
016,140,184,446,961,319,482,718,090,743,565,617,737,602,063,511,221,108,607,
282,995,531,537,454,450,517,991,874,105,894,329,154,535,584,622,043,466,010,
800,922,810,053,069,039,275,935,625,996,183,551,742,294,613,070,276,342,982,
254,170,912,752,983,865,903,148,229,375,669,100,742,742,751,505,004,291,102,
249,179,946,451,966,421,006,994,934,111,436,810,896,206,355,154,636,116,917,
413,584,417,147,960,015,083,222,961,421,523,817,863,620,814,414,538,490,500,
686,074,639,405,558,936,315,422,317,197,183,403,024,683,444,528,489,348,056,
749,433,245,255,482,017,011,347,549,911,766,916,903,184,116,257,792,020,545,
004,717,128,191,834,146,104,362,689,368,192,993,578,770,872,689,147,517,868,
643,164,683,665,882,297,439,523,969,613,741,754,932,993,793,163,236,066,357,
678,305,870,835,054,859,670,780,898,026,062,079,169,657,659,213,453,724,395,
029,400,856,387,131,961,515,075,181,586,608,824,018,055,965,724,830,357,633,
672,063,502,761,093,077,554,630,667,840,811,969,458,986,190,748,005,423,983,
864,050,725,287,080,226,319,603,640,547,259,437,374,417,938,454,600,812,899,
637,335,399,391,057,224,941,013,804,528,976,067,949,789,409,427,987,313,971,
286,563,220,577,939,104,756,034,786,611,654,301,083,222,411,040,105,042,517,
532,250,659,011,584,945,814,010,535,605,175,912,489,167,659,039,987,820,899,
768,128,882,986,141,005,870,712,924,860,428,931,813,226,961,382,487,417,803,
544,031,137,227,536,575,001,419,010,118,447,707,230,618,974,520,123,546,678,
862,778,276,106,772,441,961,395,942,855,092,064,763,557,569,679,692,128,458,
906,093,449,337,727,545,260,279,819,876,115,473,715,865,999,790,007,386,175,
955,125,337,538,417,337,489,090,015,763,435,428,824,003,028,018,310,949,697,
616,219,033,917,733,252,623,544,745,914,896,775,916,595,680,379,344,902,885,
867,160,933,256,942,811,299,753,940,239,105,470,089,341,573,084,274,324,880,
175,824,113,045,705,488,045,636,005,707,967,034,981,525,620,477,761,835,353,
575,733,056,433,484,372,662,789,830,147,825,538,867,384,209,162,383,686,204,
084,713,114,364,129,471,458,646,838,400,818,549,567,816,208,127,400,582,539,
303,026,810,540,101,458,900,745,737,354,391,556,145,512,157,378,612,642,206,
506,607,099,715,753,468,289,442,733,699,907,220,270,263,400,548,420,249,676,
680,948,422,224,089,201,716,518,300,742,531,618,738,845,356,614,641,564,076,
492,043,201,287,336,511,093,660,059,107,226,606,700,087,034,435,044,566,051,
152,081,213,061,184,710,326,633,686,253,888,146,480,479,525,050,327,988,222,
988,665,453,333,688,574,975,920,546,070,931,290,049,579,436,774,937,802,675,
413,730,020,506,770,115,454,551,065,159,155,873,841,940,021,612,510,606,837,
197,147,472,062,275,792,402,322,958,243,113,941,371,968,145,058,589,570,321,
114,937,362,789,290,197,680,484,281,250,336,196,391,434,745,650,178,461,716,
921,082,204,961,956,763,327,188,414,943,158,087,125,658,663,503,783,498,462,
266,071,773,357,244,630,232,603,869,424,317,895,503,155,881,879,228,766,632,
240,826,811,336,691,139,533,948,998,949,395,640,009,683,534,048,709,103,029,
906,802,532,129,938,421,413,510,919,705,981,167,758,821,298,328,686,632,289,
929,097,702,276,825,860,113,880,993,189,246,464,705,933,562,213,832,632,633,
352,892,377,474,411,710,516,581,373,565,399,071,588,835,046,507,219,244,704,
390,165,792,424,948,182,011,984,784,003,349,574,852,579,798,023,103,956,317,
779,822,028,130,596,327,046,999,060,961,186,400,840,196,832,504,897,983,510,
920,730,922,593,564,129,860,866,062,468,331,912,441,820,956,420,175,734,784,
444,123,883,838,733,894,644,783,986,644,063,632,476,704,782,676,537,423,308,
227,303,416,950,705,642,264,656,959,715,133,866,118,621,092,311,072,667,678,
698,122,103,539,995,148,995,353,522,981,438,951,400,267,607,121,448,705,396,
729,451,633,726,247,193,852,595,630,296,557,290,378,227,615,181,693,760,431,
116,532,087,417,686,144,859,328,977,227,101,556,929,417,634,507,190,646,951,
818,087,167,460,397,533,190,287,381,086,688,872,473,357,585,625,466,750,804,
719,964,498,140,133,611,005,733,187,086,821,405,957,736,325,856,143,261,021,
349,783,301,995,695,017,522,073,627,357,403,612,456,370,552,304,873,425,076,
642,387,730,458,906,699,050,836,422,062,850,496,052,908,758,223,301,269,044,
781,403,378,791,007,007,166,732,686,264,107,810,210,206,669,062,879,104,436,
562,474,910,505,437,707,503,290,587,254,078,915,296,445,157,743,783,203,977,
273,752,376,347,888,679,068,040,122,904,997,040,029,652,559,836,930,173,721,
490,703,604,119,494,526,153,788,995,972,852,450,887,900,747,447,999,238,788,
272,962,189,822,501,855,494,143,487,881,523,226,196,077,622,501,735,893,239,
908,179,218,842,757,696,845,056,163,212,590,662,325,328,880,569,576,177,705,
355,750,647,783,113,854,277,838,894,452,244,329,911,560,362,234,813,404,727,
915,476,970,287,729,672,573,891,911,895,906,313,675,030,532,197,106,878,399,
789,694,070,544,928,432,632,515,189,662,297,638,004,135,660,660,258,021,736,
358,500,125,865,302,075,489,932,835,145,753,102,052,291,623,366,839,921,121,
126,619,877,123,459,019,404,418,509,658,270,442,944,836,634,369,735,494,472,
648,091,954,341,918,558,264,146,413,102,104,253,835,244,908,985,934,115,235,
312,151,690,800,659,195,400,895,392,828,376,514,054,733,731,239,270,284,290,
238,064,553,995,021,869,960,956,835,807,944,018,789,184,394,100,844,593,442,
726,919,748,653,763,474,829,563,586,493,560,560,083,992,757,534,358,408,162,
341,485,521,539,233,282,215,835,142,545,440,326,082,279,555,029,674,671,708,
056,555,546,505,887,088,745,043,036,523,418,435,468,399,168,839,969,768,154,
759,459,256,528,715,948,371,820,749,075,556,931,940,279,054,463,240,566,667,
692,048,309,523,706,234,257,346,768,513,789,275,173,008,127,912,893,984,314,
032,825,292,871,616,824,535,542,634,278,526,551,139,954,642,305,061,607,728,
430,444,988,633,206,804,797,061,400,321,511,248,821,241,918,430,519,161,576,
939,449,610,800,176,147,441,858,932,367,885,062,240,076,446,739,118,943,841,
613,556,736,875,139,299,077,340,011,290,362,820,946,211,637,800,599,995,630,
771,750,839,171,982,413,492,100,305,721,377,377,023,173,776,052,366,951,441,
530,012,768,044,181,238,773,027,484,681,980,971,613,868,903,936,248,006,606,
207,951,341,864,467,363,520,797,311,313,934,118,458,751,043,775,756,439,828,
084,775,458,522,622,969,856,388,177,343,646,551,179,736,810,001,189,311,406,
812,883,258,723,073,365,827,617,250,609,358,871,044,769,165,470,332,937,654,
762,997,031,488,933,110,626,840,357,656,443,652,599,478,167,669,212,461,449,
764,373,083,100,600,072,326,910,229,240,564,319,239,962,615,773,786,552,964,
533,612,166,406,040,289,636,935,886,528,199,742,813,782,426,126,825,195,157,
961,010,650,355,482,414,146,841,412,100,586,190,967,714,901,377,332,876,099,
152,987,417,282,571,563,637,276,733,694,211,894,357,484,954,538,276,306,214,
441,440,703,043,769,821,615,584,835,896,187,801,481,569,884,497,218,734,253,
995,733,580,768,233,318,525,789,899,820,324,520,097,448,193,084,513,993,604,
566,904,030,628,037,579,581,940,450,169,520,092,211,712,515,446,699,343,203,
168,349,273,545,888,703,189,065,344,043,747,191,550,457,200,030,975,626,518,
644,837,744,560,425,647,825,265,866,760,055,237,740,905,760,538,622,936,728,
854,332,654,083,106,565,779,353,106,573,467,488,400,391,417,749,959,689,986,
624,159,897,031,086,149,010,709,600,400,357,178,710,337,352,700,475,900,465,
922,400,188,132,544,980,846,346,070,335,785,063,012,887,005,908,478,943,503,
177,704,610,282,921,058,741,936,671,826,677,371,895,545,830,468,579,386,289,
519,270,298,992,365,896,432,103,521,170,764,108,286,677,791,818,279,640,804,
472,308,015,667,520,368,792,198,613,848,979,606,985,497,089,775,770,135,533,
375,591,986,074,539,968,817,155,115,549,755,775,642,759,305,713,171,273,339,
800,861,819,625,444,819,796,940,356,471,418,874,303,886,770,327,122,183,912,
724,404,853,095,320,125,510,430,963,223,738,473,275,279,898,585,635,531,825,
574,195,636,993,596,221,794,913,476,731,056,990,045,667,686,512,474,135,993,
477,839,526,629,365,708,067,855,249,029,628,881,525,500,515,057,550,214,650,
242,580,986,371,265,321,856,581,965,432,866,732,943,698,578,861,775,607,515,
544,264,116,686,556,183,577,682,447,623,286,817,922,997,122,349,378,211,394,
433,432,549,887,772,627,568,000,420,083,777,951,913,485,935,036,047,556,402,
518,232,301,061,391,707,736,799,753,067,577,986,203,303,342,818,904,324,110,
657,511,799,326,009,072,742,534,993,017,305,804,636,242,455,766,532,455,990,
605,227,589,822,733,472,905,503,532,544,549,895,451,932,290,038,385,904,154,
392,796,333,497,196,057,770,739,738,110,524,848,025,876,024,719,043,321,077,
366,920,392,270,402,875,146,455,373,202,930,378,388,696,398,582,047,199,238,
965,653,101,017,176,261,311,799,302,232,582,220,854,689,919,975,846,633,115,
737,907,912,956,146,920,264,159,245,957,604,568,712,447,670,169,484,338,150,
695,728,301,218,833,892,647,679,221,296,830,727,938,703,905,991,551,113,171,
845,565,513,399,232,256,109,850,738,220,652,463,084,340,617,500,527,293,927,
036,325,459,024,142,678,023,171,851,172,736,125,620,635,482,857,799,272,821,
652,366,903,120,942,487,169,762,570,539,148,616,546,803,522,720,722,949,052,
051,601,917,385,998,894,152,762,646,705,977,847,952,357,327,471,521,178,750,
139,824,928,649,034,159,461,583,797,498,397,231,209,248,607,328,800,626,659,
267,706,613,647,525,269,498,048,208,991,479,660,479,429,665,727,369,186,063,
047,869,617,595,285,402,514,244,349,082,952,410,038,832,179,649,984,332,858,
292,538,034,447,069,757,293,322,463,503,155,434,272,482,707,844,340,968,160,
909,822,208,425,556,500,733,947,658,831,731,973,167,247,871,968,306,528,043,
819,858,929,194,717,132,340,487,554,721,705,334,671,271,248,159,555,494,963,
504,002,352,938,900,088,546,295,016,499,196,216,752,106,575,156,941,498,637,
217,309,209,438,031,229,005,177,418,450,220,578,455,098,475,245,273,199,630,
025,986,936,179,380,165,174,400,891,042,354,936,094,928,748,513,544,030,324,
080,173,020,837,080,226,905,435,261,302,627,824,442,119,770,666,091,175,596,
048,486,134,150,038,863,842,708,693,093,241,054,560,419,606,955,271,753,986,
052,571,668,332,939,315,035,043,706,551,265,182,552,255,523,267,100,513,166,
854,452,216,419,064,628,210,265,284,189,006,714,815,374,677,029,561,876,981,
684,642,581,135,615,478,371,218,575,592,724,520,630,397,493,037,957,690,506,
297,726,060,840,029,745,306,937,039,388,676,367,520,409,731,807,275,436,673,
616,181,770,579,042,248,315,845,564,713,399,779,300,958,203,466,558,704,042,
667,046,292,738,498,115,066,038,870,172,575,740,224,225,396,376,504,858,393,
173,487,295,342,055,945,703,080,416,044,699,181,922,243,522,611,788,358,811,
233,912,635,800,182,690,507,114,174,736,438,735,589,717,617,130,497,408,329,
611,551,805,243,875,849,254,702,974,098,971,719,481,065,074,473,062,981,479,
127,241,241,534,201,403,448,785,254,807,929,024,858,266,614,203,905,237,741,
007,181,007,896,270,844,680,287,776,665,284,042,344,194,347,449,004,427,953,
863,186,601,685,517,284,460,151,168,319,497,291,063,103,231,635,907,573,663,
933,790,927,922,784,918,891,992,992,637,463,194,873,102,057,519,299,723,991,
986,957,110,183,006,071,435,408,153,241,152,560,420,747,086,689,297,605,222,
904,411,440,568,087,125,830,671,709,837,933,970,302,702,051,208,841,097,652,
229,634,989,781,406,821,083,828,207,057,602,057,844,318,957,481,186,839,655,
236,496,994,672,758,240,431,687,071,414,705,428,573,501,912,981,540,073,902,
364,055,490,840,371,915,890,926,698,137,256,475,549,005,561,130,061,376,570,
005,734,244,253,289,576,924,214,110,737,354,496,449,044,581,013,042,592,290,
873,813,132,364,437,861,041,920,759,446,974,634,849,203,085,387,870,215,779,
191,434,253,364,018,046,517,971,218,502,336,438,618,325,506,091,868,704,711,
757,850,460,186,804,077,723,714,912,023,404,880,031,048,085,040,851,975,563,
249,017,312,542,322,198,894,043,050,215,016,580,262,650,700,745,909,285,629,
943,560,163,618,225,317,474,355,186,924,743,339,008,233,621,520,202,503,718,
586,192,432,510,226,319,628,320,881,596,634,426,512,717,408,309,128,988,605,
573,950,456,284,073,695,155,713,101,271,144,379,546,326,763,737,996,596,063,
448,559,786,777,971,725,258,956,115,630,921,326,652,658,706,268,730,856,369,
746,575,869,866,753,145,707,838,388,938,311,610,387,830,011,960,773,804,888,
920,444,599,200,873,728,791,496,722,887,382,739,481,666,905,766,240,190,755,
455,245,983,016,480,960,045,060,276,236,157,887,959,683,357,391,058,530,944,
269,047,905,125,047,485,264,147,329,269,255,741,600,136,476,061,649,549,773,
068,677,926,468,146,547,439,346,769,679,381,610,925,535,701,505,753,904,066,
858,347,675,765,143,716,349,888,207,296,585,137,319,457,178,993,384,344,723,
368,013,245,575,750,648,591,261,747,046,247,362,548,594,287,952,125,634,190,
827,109,239,736,884,187,323,137,924,006,104,426,493,038,166,360,279,011,048,
432,727,637,525,493,298,426,998,077,230,329,890,048,138,710,800,027,836,617,
553,534,308,508,991,165,146,337,567,419,740,262,806,344,399,540,682,218,653,
113,543,581,981,746,042,525,794,330,218,104,695,498,880,602,502,930,647,238,
984,350,215,800,773,343,681,519,879,570,994,595,906,253,325,830,804,070,947,
085,672,480,106,307,564,546,256,911,391,233,747,716,542,573,591,205,227,341,
978,417,110,510,352,622,496,515,267,338,381,266,851,308,817,010,157,300,541,
412,261,055,220,300,144,771,871,896,102,093,355,883,942,424,224,172,612,795,
102,377,683,681,934,411,086,239,326,659,568,713,195,581,189,406,791,074,436,
248,321,774,087,418,410,392,600,405,324,561,991,608,714,866,551,657,934,510,
787,090,667,818,653,086,491,791,606,880,829,810,516,073,168,195,647,026,309,
582,254,553,525,886,899,148,800,748,454,323,010,469,224,749,327,135,112,785,
351,744,605,741,866,703,532,698,236,533,411,729,430,055,140,220,296,316,592,
106,019,732,128,728,664,928,700,010,635,022,057,738,565,645,532,324,694,415,
308,957,533,955,685,505,934,523,079,364,540,088,765,391,226,190,566,126,927,
777,903,760,698,854,147,644,515,986,344,925,000,958,710,972,760,083,982,359,
203,398,964,287,855,687,174,821,495,302,586,042,446,438,016,262,124,102,030,
890,592,179,653,422,590,301,327,714,667,750,647,121,740,718,159,503,337,244,
823,782,424,043,751,267,389,601,300,235,075,124,762,988,030,901,973,887,747,
627,043,761,401,142,987,422,100,214,380,978,841,004,791,172,359,396,626,049,
635,117,746,451,490,585,535,744,626,452,412,169,167,457,328,381,420,216,812,
844,514,354,036,539,564,936,880,470,659,959,523,060,429,463,137,434,172,604,
057,080,633,686,746,639,275,364,677,645,644,456,997,659,158,689,539,568,171,
662,836,124,729,344,740,312,929,026,219,145,727,447,671,502,691,652,477,307,
738,587,807,740,194,503,242,271,169,510,029,947,794,837,461,213,717,723,546,
096,665,767,709,031,638,100,200,272,111,950,569,676,880,195,109,130,256,577,
692,315,262,131,009,149,176,991,406,958,133,907,388,086,266,202,830,564,551,
463,641,659,452,085,064,945,666,966,351,533,497,216,068,719,041,923,553,865,
863,537,210,015,333,150,097,128,517,606,127,885,364,912,202,681,118,226,834,
625,173,655,351,038,304,656,583,429,155,721,915,691,717,822,292,972,119,523,
058,717,920,377,040,348,695,870,855,062,688,442,818,846,290,606,836,504,461,
537,321,445,051,756,974,548,540,646,305,998,061,748,466,134,380,374,864,470,
418,434,755,258,187,954,259,930,281,306,526,819,126,037,825,753,877,244,025,
557,658,143,940,356,337,433,674,599,647,935,133,664,472,774,685,450,797,277,
186,424,676,203,830,958,286,313,234,774,089,471,777,608,651,392,843,747,804,
270,587,657,265,447,601,135,324,454,791,396,586,702,223,992,517,627,542,465,
703,944,935,240,391,085,967,011,117,910,169,346,461,500,331,163,443,559,357,
970,591,030,054,345,668,213,692,797,106,720,939,597,184,345,701,312,770,124,
353,789,420,581,142,356,845,501,869,410,056,182,065,401,713,603,025,770,760,
746,470,667,881,314,442,550,925,946,722,193,618,708,717,678,155,800,715,115,
398,656,641,098,653,964,133,667,079,099,904,458,542,629,671,342,102,041,746,
781,575,409,292,342,199,433,764,896,201,383,943,979,767,602,997,606,497,843,
723,426,036,748,562,093,907,529,034,327,057,494,400,962,183,458,756,326,993,
713,453,539,228,566,139,881,369,702,219,008,907,165,618,019,663,757,634,465,
725,868,238,553,077,583,857,241,972,099,288,458,352,589,432,074,863,481,403,
372,254,461,869,417,067,174,788,579,273,046,353,623,157,211,676,983,653,412,
015,096,784,640,765,631,507,189,535,483,032,169,307,954,678,161,113,613,659,
616,450,929,594,327,544,604,583,485,374,533,867,866,955,596,246,680,262,061,
091,220,600,752,421,154,773,014,088,501,744,818,766,904,030,219,665,954,421,
059,613,953,249,278,289,658,703,074,733,172,104,986,911,656,401,340,270,884,
033,571,812,986,823,945,767,809,556,210,594,795,099,642,431,014,246,148,832,
646,296,414,857,235,552,539,399,913,086,148,357,026,894,949,006,743,185,234,
543,959,443,892,950,591,843,344,754,788,051,814,481,217,320,468,679,115,811,
201,224,145,154,202,073,465,349,285,402,565,363,280,179,850,381,893,120,949,
823,390,011,450,875,318,762,900,719,101,175,760,106,277,538,517,683,870,762,
294,312,392,879,856,703,190,692,407,075,883,024,600,582,943,568,779,125,143,
774,660,226,107,599,945,743,292,190,019,442,432,385,433,100,841,209,783,961,
673,510,452,807,814,794,070,816,832,642,970,944,179,625,278,263,638,889,131,
517,152,088,292,949,510,883,921,452,173,033,634,377,135,548,182,450,275,581,
755,740,554,715,399,866,819,714,414,897,086,412,825,464,253,295,382,017,489,
511,764,721,307,060,457,250,623,258,137,145,352,181,039,779,575,372,424,076,
817,040,171,738,145,146,179,641,770,755,829,293,536,616,127,440,444,033,482,
565,046,167,949,802,070,116,520,800,862,252,119,109,266,761,945,236,646,048,
709,502,074,276,996,460,993,683,842,743,590,151,879,462,122,994,403,670,845,
755,423,799,362,484,803,935,104,159,339,489,169,168,797,443,290,432,150,887,
599,967,754,307,201,890,507,298,787,470,012,352,917,559,826,329,581,327,792,
802,181,171,214,841,596,508,940,773,456,683,583,880,861,489,694,191,840,487,
209,128,471,283,882,371,998,178,258,692,521,508,314,899,918,864,408,517,520,
105,031,645,326,960,800,643,002,266,385,852,568,205,319,453,981,338,614,210,
471,985,808,943,371,756,155,583,197,720,055,371,780,837,601,568,363,047,271,
370,382,858,513,768,346,437,492,845,277,623,994,940,670,488,147,140,830,603,
843,769,932,599,345,850,847,065,786,716,376,039,284,445,196,690,367,487,017,
243,689,744,586,829,649,396,659,329,621,171,357,996,438,349,360,340,200,043,
182,126,984,045,301,337,878,803,647,387,872,451,036,540,119,723,415,228,319,
477,431,047,348,112,819,443,544,559,170,689,549,537,579,850,794,035,456,978,
347,178,702,259,501,416,812,397,340,370,081,172,454,485,834,137,017,791,212,
607,526,255,530,895,208,600,716,932,494,342,247,981,231,694,676,238,327,524,
308,375,365,658,819,800,864,478,781,447,521,155,159,813,697,405,685,112,095,
114,091,673,694,888,363,972,685,775,285,264,784,588,749,824,134,776,369,659,
756,059,643,118,608,097,456,630,232,926,449,431,619,818,845,572,372,820,021,
909,998,801,312,011,754,636,051,769,540,657,700,422,031,442,519,743,924,301,
409,306,875,994,714,626,334,099,343,564,641,909,119,215,822,589,958,997,314,
574,412,297,266,168,820,384,976,861,000,700,649,981,069,213,090,458,194,099,
090,534,327,048,690,989,212,734,378,618,946,372,025,152,445,019,882,550,948,
841,362,513,824,908,554,211,201,939,735,573,002,472,718,988,546,574,267,772,
121,603,043,527,172,451,103,096,863,970,322,086,224,953,552,304,236,152,635,
032,119,067,844,177,662,701,600,762,472,033,513,686,336,015,071,651,816,620,
652,057,231,426,034,850,114,369,730,712,905,880,189,092,161,582,385,880,799,
052,774,133,607,087,511,826,177,001,804,945,157,127,317,614,423,823,595,575,
746,271,774,102,577,880,791,480,287,353,908,851,999,239,610,887,870,857,612,
614,126,659,047,625,994,017,304,488,070,020,104,680,809,083,009,290,048,355,
693,993,287,989,281,001,718,621,654,927,925,197,470,424,877,105,081,463,944,
749,747,664,638,191,258,596,219,851,146,299,959,276,623,446,961,912,298,635,
925,858,866,380,292,527,664,952,327,347,176,738,067,978,308,870,452,784,423,
796,949,375,069,066,994,178,172,789,629,504,805,179,955,123,324,941,180,043,
613,079,924,296,015,597,339,720,758,140,371,576,310,719,814,402,349,435,356,
082,798,980,530,139,607,608,151,121,644,319,491,564,437,519,703,855,028,846,
800,287,089,763,455,136,883,865,928,041,796,618,153,404,362,532,841,637,739,
838,405,066,804,799,650,212,436,616,524,374,744,605,747,104,759,623,713,044,
733,150,102,289,089,462,106,516,832,138,903,351,412,575,878,560,728,002,493,
242,195,415,173,037,784,288,183,607,134,479,906,448,988,702,252,965,551,216,
559,369,125,800,051,252,846,914,642,784,303,220,807,526,758,867,141,008,363,
507,258,530,328,279,876,646,363,927,914,581,719,880,656,135,300,142,274,410,
121,419,369,889,368,632,823,831,164,617,343,023,961,382,904,303,372,200,097,
151,087,846,950,959,537,283,777,300,844,716,600,269,598,207,521,842,124,806,
454,286,697,738,078,054,298,663,065,762,267,566,482,929,075,629,607,672,938,
966,949,912,004,120,718,539,379,458,768,134,957,742,563,148,954,191,853,577,
489,652,617,608,252,668,630,798,404,774,778,416,575,205,006,401,695,174,380,
818,120,922,948,409,583,592,769,341,959,224,103,651,553,349,670,139,819,092,
025,322,395,854,560,104,213,655,058,375,885,367,663,261,397,240,715,015,677,
463,286,907,246,185,945,731,359,628,657,523,322,263,696,762,726,390,159,161,
256,690,646,122,617,642,209,824,822,780,463,913,167,900,858,835,643,506,156,
921,308,873,719,802,577,627,901,347,415,045,842,439,404,271,739,845,134,750,
393,015,294,960,377,333,528,088,920,569,707,509,101,942,667,314,418,776,950,
415,908,262,677,701,224,690,179,525,436,474,128,454,749,550,772,393,171,258,
068,009,430,096,336,155,545,483,143,338,238,074,072,229,115,352,632,597,974,
874,332,695,398,096,581,420,877,726,098,732,410,674,368,778,284,747,678,680,
042,185,276,171,121,321,664,183,391,697,932,325,294,858,928,787,812,124,616,
144,204,733,762,549,432,772,484,432,321,423,068,798,859,432,777,898,467,043,
283,568,665,419,841,676,425,607,701,490,493,796,666,957,500,954,350,579,677,
275,836,393,066,698,253,526,338,356,918,554,903,256,225,975,900,458,250,715,
613,064,717,771,046,320,200,990,105,979,616,699,638,666,506,683,202,965,999,
232,920,516,302,614,873,645,071,915,389,337,147,139,544,422,815,404,032,082,
611,106,620,773,147,127,970,898,968,230,122,030,925,358,995,235,051,240,735,
396,459,343,313,078,895,844,316,789,213,990,782,992,717,611,727,685,673,172,
959,635,992,932,808,210,585,552,253,623,970,255,850,595,500,799,009,787,241,
707,996,074,297,431,942,523,574,696,625,146,826,505,227,221,830,744,037,511,
213,131,874,231,806,208,411,542,141,622,366,641,673,493,600,260,446,821,961,
044,128,731,623,555,157,514,694,155,056,206,092,762,515,227,589,748,946,589,
440,396,207,476,287,416,118,425,770,452,208,667,063,683,775,018,198,543,233,
177,957,155,340,397,068,078,118,276,290,857,643,187,264,448,372,818,423,127,
384,463,377,434,764,232,247,778,386,471,779,433,353,107,255,913,234,514,791,
746,765,949,974,858,160,648,278,799,320,342,467,228,474,832,888,309,123,473,
891,652,068,593,030,245,052,377,334,953,461,345,591,091,078,606,467,021,088,
885,916,613,679,510,088,636,878,010,155,083,310,535,825,018,926,399,486,162,
799,192,582,475,924,401,510,892,132,988,632,825,285,972,221,323,755,913,807,
177,943,220,772,022,914,231,966,594,257,954,786,680,640,411,484,476,854,759,
081,340,380,026,810,750,226,637,919,828,049,147,917,300,854,211,593,715,061,
382,734,759,378,783,268,534,007,432,742,163,792,702,108,368,383,375,022,753,
630,712,346,963,725,285,692,350,459,645,295,908,228,883,707,344,669,467,356,
164,263,923,474,270,272,633,056,096,060,612,000,492,852,901,275,889,484,010,
843,540,688,171,101,907,527,142,762,879,873,272,969,224,930,790,687,534,569,
848,232,243,780,870,709,643,604,472,845,405,061,658,846,870,345,856,222,037,
229,322,771,296,527,286,863,322,618,988,937,115,849,373,864,827,239,338,325,
063,114,560,800,878,162,817,240,216,654,170,369,612,399,202,818,927,836,998,
837,020,822,372,403,354,206,901,162,846,990,689,547,996,985,081,035,102,091,
796,483,033,469,985,604,663,057,990,030,488,611,003,205,560,481,962,417,179,
948,545,671,335,591,854,448,626,748,526,293,396,106,101,101,784,981,839,021,
034,418,331,664,763,052,146,730,111,573,982,333,257,591,083,721,157,901,116,
330,087,687,306,509,035,896,674,349,577,676,256,274,322,371,713,478,389,851,
136,306,403,018,820,866,410,477,557,038,131,158,706,642,352,370,813,829,333,
778,845,671,724,252,253,785,529,105,937,904,652,791,676,916,475,241,278,578,
649,707,993,658,481,702,192,812,946,314,438,627,938,342,606,141,005,232,877,
592,054,052,156,228,867,772,067,936,369,825,664,088,439,222,661,665,629,262,
067,449,271,196,946,588,100,714,152,113,587,082,637,728,570,150,202,008,093,
870,717,196,425,856,901,823,373,732,701,847,308,126,905,642,580,687,801,169,
553,565,218,527,277,972,473,382,339,974,368,928,761,619,756,232,103,891,290,
012,735,889,485,185,967,812,675,443,788,668,560,891,644,059,890,856,410,129,
063,185,094,498,413,337,620,599,006,677,142,826,827,259,919,274,593,467,149,
777,016,110,856,892,750,678,811,472,100,064,217,209,334,901,963,593,332,790,
497,037,312,998,097,827,177,526,078,503,131,103,741,390,478,477,938,043,126,
567,239,488,684,571,769,191,451,619,325,950,189,534,378,095,293,952,776,364,
011,229,370,428,088,127,356,308,036,037,371,151,470,455,523,510,626,258,335,
156,561,227,972,223,329,799,469,453,086,616,471,779,846,837,159,419,554,178,
363,430,766,138,315,670,478,036,580,179,129,607,255,825,848,911,206,983,394,
299,861,210,693,274,626,244,394,791,964,431,279,696,753,350,500,326,818,527,
702,145,113,400,851,140,658,654,653,485,510,931,407,062,152,053,673,000,569,
407,159,072,521,009,442,433,532,633,950,318,460,744,184,104,310,048,456,564,
214,743,985,483,265,068,393,454,974,431,909,901,487,831,758,536,638,601,545,
537,163,168,488,372,082,781,432,561,958,691,297,586,611,627,677,205,534,959,
636,325,142,192,430,522,278,706,220,727,097,346,380,075,869,994,929,094,585,
326,643,085,054,279,269,917,694,210,104,292,990,364,091,428,035,368,930,054,
867,994,219,699,142,942,681,449,529,486,851,979,480,137,659,511,674,279,515,
212,840,239,006,281,208,567,192,162,917,655,316,667,669,399,415,040,149,098,
504,697,830,173,021,430,606,283,154,824,197,219,741,040,642,960,188,841,880,
488,319,309,593,661,434,235,263,108,673,293,268,621,688,414,393,169,091,550,
259,113,276,698,813,460,014,969,838,790,415,615,688,012,763,272,694,504,935,
668,611,118,755,664,699,257,031,179,332,507,523,774,014,769,345,162,609,982,
733,536,329,331,654,115,361,880,968,254,527,981,148,382,303,230,484,246,399,
220,166,186,780,522,909,478,720,393,743,768,942,573,851,275,276,932,997,347,
829,092,345,104,021,098,837,537,222,795,678,845,835,619,131,805,669,212,236,
808,904,958,666,376,962,649,070,425,032,702,971,979,444,451,249,729,297,816,
967,819,156,363,943,187,624,529,891,541,060,426,642,781,843,807,732,979,967,
025,291,054,051,277,477,781,266,803,129,816,445,428,736,641,891,924,809,185,
781,533,975,322,559,016,677,319,417,569,576,067,424,028,827,939,215,863,922,
576,101,228,775,610,998,010,597,492,686,517,403,713,888,401,720,874,170,284,
468,797,840,602,206,154,772,418,820,744,650,808,380,829,548,081,444,802,865,
430,992,909,135,203,381,670,199,380,450,940,074,691,131,427,921,537,827,630,
163,294,472,665,174,673,912,415,870,441,602,851,265,576,498,763,536,906,927,
403,588,637,110,318,041,186,418,244,076,205,972,670,983,050,606,680,688,190,
317,741,982,435,700,862,618,641,130,145,645,960,584,745,789,505,121,860,712,
584,370,408,383,644,388,172,522,632,693,829,549,518,529,125,006,533,990,371,
459,290,501,238,465,572,558,949,469,680,008,627,088,156,634,208,457,772,799,
187,767,623,393,003,503,459,974,774,564,606,048,804,662,058,405,333,489,870,
760,904,382,567,914,993,733,940,445,400,913,875,067,952,917,773,868,431,585,
694,225,360,322,650,801,300,867,915,888,894,838,172,569,534,092,533,891,907,
909,906,552,058,689,689,355,474,506,971,435,756,443,525,439,126,771,022,324,
815,497,985,801,293,383,923,515,615,944,218,818,234,490,794,222,933,635,144,
434,146,397,761,267,841,997,902,912,275,263,816,024,223,310,079,960,344,468,
383,786,226,293,039,493,946,586,948,676,534,130,208,124,216,770,622,072,705,
832,357,017,359,873,487,294,427,821,229,988,517,510,172,653,460,203,899,998,
998,285,809,050,012,633,010,520,751,173,870,414,499,260,464,079,409,280,394,
830,738,998,783,387,925,308,117,332,310,252,843,972,689,382,652,188,392,805,
017,325,334,034,601,258,710,137,681,116,109,211,512,501,248,952,704,126,432,
061,210,781,570,523,307,239,370,376,002,498,880,040,600,128,890,672,602,085,
853,818,919,183,710,516,153,858,947,939,380,085,856,124,669,023,963,024,991,
285,321,721,177,986,689,724,418,989,372,428,822,198,340,112,659,754,809,851,
893,093,353,635,210,017,509,490,267,216,312,450,125,394,733,168,203,272,913,
230,535,048,231,081,396,030,620,317,998,242,568,404,066,998,357,689,650,583,
752,209,770,237,328,770,586,033,769,797,922,839,779,034,618,036,731,660,845,
634,221,958,860,474,321,684,618,841,683,984,638,863,050,798,333,009,117,119,
820,078,427,447,031,001,225,724,006,754,550,932,239,061,873,894,418,781,021,
632,943,842,838,975,244,583,670,684,086,784,952,568,671,771,143,141,484,570,
299,470,480,385,558,002,309,757,561,507,740,706,938,703,838,752,709,579,613,
486,924,092,674,482,753,016,057,727,387,699,891,129,363,139,589,275,979,621,
783,021,865,123,990,848,416,750,078,466,028,459,755,737,294,366,915,842,853,
162,697,105,729,659,933,528,954,888,744,612,098,138,915,947,350,245,436,214,
126,577,080,498,466,905,874,679,437,908,329,977,197,405,586,535,294,146,520,
108,281,448,256,784,730,105,772,240,732,709,464,539,838,411,415,547,375,612,
830,128,629,531,796,537,911,297,942,674,979,239,668,585,801,871,241,960,622,
412,410,466,917,917,458,201,561,263,857,084,724,644,242,125,991,969,841,585,
644,875,555,355,635,599,077,128,043,587,003,135,409,512,772,449,873,441,601,
947,354,007,596,127,711,500,245,156,342,915,729,200,684,367,837,941,010,732,
520,715,897,111,068,885,581,991,610,268,592,283,406,866,089,847,739,338,008,
661,760,836,100,649,723,124,155,332,230,661,216,788,448,975,611,868,084,141,
037,809,660,172,356,091,637,657,178,890,889,581,220,050,155,908,694,518,403,
412,615,345,345,722,505,025,862,967,981,268,936,550,886,179,800,994,212,122,
329,696,346,028,863,437,709,222,430,217,659,041,361,721,570,055,857,052,742,
414,068,745,281,663,642,053,773,745,186,812,303,490,435,471,767,483,480,129,
861,380,326,276,782,387,608,004,591,856,912,108,264,088,635,720,661,616,031,
787,207,822,278,269,542,258,059,319,799,594,947,381,679,014,838,883,212,742,
018,778,083,122,961,638,967,457,134,376,369,846,069,046,559,828,552,006,486,
026,779,081,540,545,940,934,370,822,413,151,688,976,100,326,420,778,162,307,
445,063,165,673,737,541,175,298,084,928,495,787,487,109,345,448,183,312,543,
740,101,100,701,098,734,978,921,714,625,117,981,489,631,872,653,368,039,308,
704,223,194,232,833,069,362,805,282,375,593,507,263,830,150,836,275,613,483,
661,353,950,208,802,549,423,402,819,077,456,094,301,802,353,433,318,541,792,
399,464,700,921,755,707,924,081,592,256,594,641,073,968,593,831,672,596,657,
341,005,529,532,222,527,406,268,536,428,949,506,713,033,232,400,280,850,262,
366,119,544,364,493,772,819,070,798,340,289,292,945,209,421,126,837,121,067,
567,802,085,842,451,428,715,062,035,251,601,931,751,101,508,087,907,512,359,
476,140,661,154,625,094,407,201,553,180,014,850,672,943,656,390,220,525,928,
977,749,306,655,349,446,991,733,557,599,448,489,642,457,929,975,253,918,516,
574,275,371,740,670,449,555,841,555,264,691,365,713,745,896,308,441,364,349,
134,998,625,996,221,841,789,091,192,361,603,325,136,091,833,482,637,175,492,
591,900,514,856,696,459,205,217,038,320,183,740,621,914,192,228,784,187,462,
215,305,404,761,367,254,274,331,908,400,771,717,548,428,200,936,381,396,953,
398,163,082,634,021,214,379,973,424,410,591,270,672,729,455,676,187,837,871,
721,010,490,254,455,012,467,091,350,680,650,025,078,480,632,803,237,905,294,
228,623,230,017,051,004,533,382,122,149,774,904,956,016,929,407,121,760,213,
628,897,760,384,467,937,331,059,280,949,398,615,413,355,088,867,208,544,197,
711,263,479,515,311,386,462,675,638,840,251,787,271,740,803,374,275,919,520,
599,196,432,072,167,605,878,601,098,032,401,337,429,831,929,076,741,018,430,
486,590,721,649,410,478,762,316,298,963,124,309,538,823,254,568,924,941,174,
488,219,684,007,451,386,453,208,233,699,949,095,709,614,477,064,706,422,099,
849,797,720,537,813,567,632,574,497,059,568,605,542,921,184,642,346,357,655,
960,643,467,128,057,124,144,962,163,761,328,906,845,582,897,968,169,616,350,
369,042,831,777,789,288,423,690,406,683,672,056,377,983,159,470,032,244,630,
449,652,654,158,442,488,349,960,513,945,897,244,266,209,316,132,214,429,858,
195,002,857,725,014,223,040,001,726,874,371,927,443,092,368,183,147,582,816,
041,427,711,244,264,760,919,082,211,072,705,762,070,018,528,404,922,760,492,
399,432,248,889,368,213,662,572,078,540,136,100,386,785,468,174,430,391,740,
496,269,041,298,643,701,521,935,393,981,901,314,146,510,164,214,627,841,530,
129,379,602,814,038,903,523,951,032,724,346,421,195,586,095,368,273,103,095,
344,557,317,648,032,358,428,703,460,428,692,533,516,271,018,683,054,537,846,
531,937,862,997,146,742,586,888,744,187,575,420,628,779,020,620,978,762,020,
214,653,038,935,086,513,917,250,983,904,481,648,202,981,693,863,398,552,620,
321,661,674,241,294,894,121,627,326,259,379,593,089,133,548,190,487,672,935,
799,720,966,740,362,710,571,683,739,642,192,537,558,237,934,497,781,643,611,
968,699,379,645,681,328,906,535,931,679,284,096,967,309,253,961,446,801,697,
665,966,890,202,929,924,855,477,201,405,157,144,697,301,201,498,787,009,302,
117,656,132,427,846,900,455,467,129,558,098,715,840,328,347,742,854,638,576,
139,326,449,293,035,679,669,761,307,543,336,473,121,918,807,678,103,528,598,
839,296,509,747,846,200,447,893,012,107,558,271,813,829,385,524,014,158,581,
195,864,415,223,591,163,096,929,749,749,267,976,693,450,675,853,436,396,521,
372,869,350,634,610,789,736,829,864,849,545,717,529,561,296,071,669,560,628,
573,525,451,271,570,976,359,049,131,372,736,132,356,019,130,236,678,338,284,
699,506,022,510,825,922,007,378,977,136,290,252,407,120,002,486,297,620,352,
896,840,914,657,663,510,424,444,562,778,903,331,719,778,400,036,011,533,517,
542,795,607,708,270,553,457,140,620,944,091,228,376,032,145,272,780,237,636,
696,401,131,263,564,585,472,579,062,372,376,781,991,201,790,117,715,716,364,
694,925,185,907,710,871,763,794,906,206,598,035,265,488,613,699,828,228,233,
999,636,643,245,517,913,413,236,355,085,913,900,005,825,207,912,351,414,719,
128,107,011,170,780,782,376,975,018,346,871,643,433,086,915,259,083,343,929,
603,230,639,560,264,099,033,477,738,880,055,412,031,775,010,213,723,247,835,
751,876,410,788,199,168,316,046,125,011,015,796,918,977,810,808,830,263,983,
308,797,013,318,620,040,138,746,524,286,305,072,109,732,563,198,274,058,655,
643,442,522,414,468,591,404,170,769,160,770,281,293,091,793,096,096,121,233,
749,617,693,153,927,135,096,991,017,074,076,625,381,245,078,246,944,616,482,
188,549,650,231,117,929,141,284,146,814,076,303,654,614,336,339,039,075,919,
301,985,673,323,905,860,625,709,166,653,154,359,373,172,063,483,484,366,778,
304,980,418,829,033,920,440,559,310,965,140,716,770,692,166,149,655,590,402,
751,454,156,341,732,225,987,825,452,456,216,401,075,448,554,643,060,920,218,
538,716,372,137,407,599,271,730,803,588,606,507,661,689,461,036,908,862,718,
503,908,618,265,228,853,282,571,482,777,254,130,680,308,886,102,387,297,275,
406,718,400,728,993,283,606,441,422,290,503,863,645,373,565,959,988,780,321,
984,652,540,609,385,424,338,158,095,903,167,958,737,488,973,273,470,019,688,
146,837,078,781,255,416,285,792,334,474,663,622,101,089,258,200,623,150,915,
731,488,014,180,321,244,937,896,740,160,918,086,017,165,224,531,231,643,745,
985,088,915,296,319,602,488,317,937,001,119,533,753,626,274,471,626,912,185,
102,108,173,155,147,543,763,079,365,798,394,414,151,435,026,091,013,343,604,
444,142,730,400,380,112,108,190,416,217,137,452,494,008,668,024,558,293,654,
530,274,006,210,210,021,206,385,437,580,866,474,523,584,133,781,162,830,551,
992,216,509,789,170,682,818,987,784,036,929,952,631,363,983,875,397,959,494,
213,507,833,843,767,449,716,497,797,401,701,981,058,996,574,322,368,704,331,
984,223,715,622,011,375,239,169,579,645,794,256,783,542,170,436,822,428,636,
686,793,058,315,999,154,509,150,067,483,874,649,203,268,531,669,338,952,835,
911,372,064,125,448,515,818,339,918,557,133,799,426,847,499,928,780,444,605,
457,740,709,600,193,406,101,897,400,520,172,024,613,036,100,708,438,712,144,
484,627,335,405,202,803,498,215,697,310,356,516,316,300,505,202,012,969,780,
034,564,443,981,036,914,775,881,615,973,307,722,514,576,520,591,948,808,845,
941,182,996,968,215,945,894,027,616,544,247,223,576,487,710,159,278,053,876,
945,500,325,407,578,493,698,842,109,470,586,423,463,541,181,366,176,219,161,
119,411,113,143,799,645,176,012,007,533,872,077,603,484,916,075,812,479,934,
273,329,422,981,879,182,884,113,495,505,658,020,459,829,296,044,463,950,681,
682,789,039,246,993,173,867,408,478,109,654,096,978,769,941,747,528,499,346,
444,870,312,787,081,357,088,157,667,899,599,113,444,630,465,561,003,555,221,
947,843,983,071,143,393,399,509,162,062,622,340,560,428,204,591,218,198,117,
171,849,988,076,895,601,150,859,964,504,504,436,349,962,620,716,938,442,135,
479,706,173,581,645,905,496,724,275,338,132,908,727,588,457,402,285,985,355,
792,480,579,676,218,904,205,965,206,070,586,662,267,341,169,198,306,811,481,
742,639,565,856,896,831,942,592,420,689,708,692,193,772,177,654,208,068,097,
640,794,364,623,056,437,948,182,656,280,351,380,227,493,225,819,538,170,481,
291,101,925,459,016,765,918,609,868,775,226,811,822,610,871,768,336,708,917,
740,542,851,672,084,123,786,207,252,509,829,546,459,418,537,895,215,556,731,
102,799,631,859,013,632,178,738,228,885,885,224,746,520,879,825,435,938,475,
143,347,564,290,395,157,884,019,604,232,132,101,996,037,926,095,094,493,566,
279,333,962,660,747,591,917,086,351,817,535,186,298,799,681,593,014,500,883,
290,664,344,010,132,645,575,249,661,735,614,682,355,362,862,832,884,472,643,
999,438,481,269,181,831,277,857,085,632,208,076,454,384,124,330,474,933,576,
654,470,079,293,983,338,768,104,764,154,976,198,149,252,840,068,360,245,732,
500,839,894,594,549,775,029,885,573,822,110,021,431,339,198,963,938,251,204,
928,644,868,492,409,987,825,059,317,655,332,743,315,455,642,484,551,660,469,
972,726,554,947,758,010,701,385,086,649,508,505,799,305,059,556,989,553,005,
038,037,977,586,117,678,529,878,460,662,056,371,344,272,773,245,763,549,071,
238,986,792,126,721,365,525,734,842,171,997,216,019,911,054,882,862,238,632,
954,494,442,035,530,909,683,323,482,280,965,906,650,689,604,814,296,449,473,
753,467,902,718,628,406,701,644,537,994,556,654,402,841,289,874,202,445,131,
147,907,757,078,801,132,436,894,485,684,075,350,166,319,005,967,069,538,685,
174,084,322,882,832,601,067,040,164,406,300,335,080,902,984,652,075,356,720,
650,851,254,215,772,614,898,134,508,949,704,485,144,865,392,140,211,168,168,
305,337,565,957,287,381,585,374,806,667,907,891,742,875,516,103,589,220,622,
757,573,447,026,769,385,008,071,774,357,898,390,872,441,409,917,008,631,705,
731,034,712,446,396,918,406,560,122,648,391,804,127,705,588,577,758,478,652,
121,648,421,767,949,706,566,001,080,393,431,868,799,090,624,412,264,099,458,
674,369,808,876,693,550,827,280,307,661,489,969,339,888,692,649,505,826,132,
131,500,204,047,215,131,067,656,932,029,343,594,822,912,829,607,877,138,686,
097,299,250,724,796,844,705,364,795,191,004,273,776,353,982,469,910,404,796,
533,785,127,631,921,803,903,992,015,268,280,712,930,512,186,809,583,831,675,
000,061,449,257,959,396,758,719,642,424,658,314,552,082,521,820,819,633,060,
347,053,606,942,984,973,148,209,933,420,793,956,302,256,549,299,381,678,542,
033,864,542,439,727,315,851,073,056,892,595,093,438,281,626,427,834,652,673,
117,695,021,332,973,967,022,887,483,638,677,171,191,785,964,308,979,027,621,
168,282,243,233,497,436,934,555,927,797,175,330,243,073,830,463,370,397,215,
723,259,212,495,742,610,350,163,821,421,668,223,691,456,397,932,753,686,192,
592,304,912,826,127,009,482,043,259,506,990,659,701,447,941,921,796,169,192,
256,379,590,858,238,484,306,261,982,089,985,612,807,267,291,563,974,708,645,
890,106,963,167,446,025,792,620,240,466,915,374,888,820,179,188,318,919,645,
416,652,195,113,392,478,295,246,279,850,312,077,298,322,631,138,466,456,426,
661,814,273,783,343,085,846,106,595,338,895,425,387,807,982,869,957,437,599,
485,514,519,075,254,069,693,727,081,682,245,876,717,695,445,465,692,117,600,
577,449,171,229,197,723,311,199,283,013,283,259,632,513,985,247,483,513,871,
066,727,142,763,304,856,484,046,577,926,867,021,936,127,040,330,775,592,300,
080,529,555,068,787,624,428,053,786,933,600,829,137,794,222,766,049,471,441,
951,449,045,549,258,024,622,802,908,124,006,991,739,200,183,761,930,866,840,
176,470,583,744,619,621,656,485,299,900,028,721,399,933,605,874,169,907,949,
404,435,504,244,613,909,250,118,536,299,991,105,571,818,384,127,244,349,217,
999,049,437,981,460,325,289,570,718,638,640,692,401,584,036,190,751,977,299,
778,500,141,824,590,697,058,015,144,514,495,505,612,156,734,406,004,990,277,
850,564,214,653,078,353,793,002,839,298,297,298,420,316,729,941,235,080,238,
784,103,317,401,248,295,290,335,737,576,676,711,826,001,531,876,098,944,274,
741,539,841,221,507,738,182,159,069,458,314,940,473,587,709,320,517,551,376,
868,740,525,704,196,290,341,271,588,333,433,893,086,607,788,808,810,208,514,
631,415,770,275,274,015,148,051,613,458,782,614,625,714,249,726,395,861,106,
652,267,683,080,716,155,404,027,754,996,562,086,613,949,132,022,845,612,225,
498,230,822,178,493,527,819,455,016,133,589,971,639,933,307,249,123,340,789,
099,544,923,602,495,835,937,528,359,294,765,157,684,188,604,873,763,430,883,
567,725,250,818,017,107,343,639,237,089,933,985,622,897,487,061,332,142,027,
044,116,407,257,739,505,026,274,252,271,725,180,542,038,093,948,543,563,205,
757,293,467,297,010,011,152,612,829,096,960,582,591,097,265,303,396,873,761,
320,731,759,495,487,342,285,655,615,639,303,871,168,710,601,166,832,367,797,
777,798,451,033,482,035,536,512,144,121,302,732,376,943,310,981,571,808,503,
362,422,209,500,927,471,292,039,641,768,083,443,850,158,880,141,887,267,564,
947,649,188,808,967,194,022,838,643,013,763,606,049,734,216,284,654,458,943,
612,001,177,823,939,208,002,451,416,723,616,117,462,827,866,134,491,395,308,
284,574,453,571,899,009,422,877,718,609,383,722,235,183,199,181,928,904,915,
175,280,700,871,722,238,355,862,466,802,428,832,644,386,291,639,614,049,088,
727,924,400,268,123,335,527,490,237,178,092,586,044,584,266,323,272,946,637,
810,276,368,050,242,441,345,553,668,985,025,970,537,238,584,039,198,912,894,
724,287,259,121,483,635,256,899,801,931,442,287,561,683,891,270,441,979,622,
638,729,366,022,733,250,372,772,269,005,082,254,391,005,868,157,393,988,576,
319,426,688,689,335,286,591,128,390,880,528,291,696,637,163,284,942,192,782,
631,620,919,328,789,655,562,759,872,501,457,547,662,230,417,310,633,594,499,
789,911,970,471,233,486,446,727,361,200,353,205,379,333,004,194,124,728,254,
160,312,403,360,073,057,788,218,832,595,173,613,034,725,812,504,647,564,570,
704,747,268,403,550,577,064,024,198,710,490,269,306,977,756,544,620,169,120,
224,508,785,482,647,340,213,302,195,237,959,493,939,278,381,888,815,507,285,
059,916,523,599,490,955,709,429,866,841,606,488,321,034,990,816,484,488,735,
562,831,555,097,361,790,353,099,144,616,342,035,611,123,780,666,485,136,467,
269,424,673,608,546,231,190,767,694,357,223,725,056,153,450,176,683,444,015,
353,888,455,271,349,498,852,018,447,221,325,023,186,385,159,984,150,903,518,
312,511,270,961,209,749,207,541,702,272,559,560,828,147,059,934,908,426,044,
839,946,655,793,284,149,987,243,448,489,397,477,075,250,690,403,438,462,475,
124,083,992,596,411,459,492,041,423,413,539,449,462,401,475,688,488,111,470,
057,285,593,035,715,598,616,589,680,276,955,062,173,261,624,954,671,713,507,
426,325,489,083,357,276,117,525,273,202,104,206,402,780,505,362,880,641,991,
793,535,191,957,551,552,575,771,150,875,675,001,073,416,924,070,347,705,251,
445,300,193,377,894,811,219,735,318,867,762,792,340,279,491,034,908,862,133,
472,741,641,372,692,749,405,313,787,685,985,213,841,404,300,513,856,362,903,
475,498,608,022,657,840,915,228,144,461,554,993,620,770,932,608,727,428,053,
854,037,703,207,131,721,179,465,391,772,094,904,236,312,168,521,119,165,741,
612,767,799,708,194,927,597,611,430,145,246,064,080,815,985,688,018,749,165,
523,097,728,535,441,881,357,041,012,830,087,766,527,729,261,076,068,638,576,
922,034,696,446,036,501,651,895,070,807,308,833,206,471,518,026,004,469,937,
811,743,475,521,916,959,940,717,363,325,375,510,562,623,667,903,004,632,297,
529,516,876,568,975,494,475,313,095,605,181,079,931,317,037,221,312,537,319,
256,578,628,590,376,020,340,810,377,133,428,065,046,688,713,885,685,378,814,
432,251,961,337,640,973,735,488,084,750,839,459,505,993,041,353,345,857,682,
783,265,544,325,575,674,861,549,887,322,944,784,739,083,103,994,937,119,731,
384,292,915,347,835,131,339,139,472,868,979,525,169,068,667,646,951,517,943,
506,277,748,350,946,720,411,481,002,668,173,053,753,353,683,586,612,682,169,
407,936,056,280,003,361,561,974,255,710,835,268,831,010,928,549,938,988,159,
815,428,416,628,647,955,268,110,956,741,951,123,983,102,458,975,676,457,712,
428,695,035,065,667,130,280,214,045,328,667,707,239,119,001,295,753,909,809,
800,103,062,821,433,358,306,304,237,582,958,544,387,205,205,833,661,262,038,
943,411,637,361,145,144,331,455,810,284,755,715,816,704,043,441,467,867,092,
375,305,351,097,580,175,029,966,445,056,993,726,762,244,207,999,688,380,278,
400,486,065,024,458,323,419,616,684,716,206,758,288,412,858,058,116,453,223,
787,459,385,897,571,309,744,937,338,693,866,734,811,249,248,221,996,923,974,
596,649,420,096,318,960,461,025,418,222,916,268,598,478,584,390,738,838,396,
947,090,837,995,080,261,817,613,813,108,470,887,385,399,307,716,144,985,497,
091,251,711,439,108,797,083,605,234,879,938,697,159,830,402,952,877,280,081,
071,642,882,489,736,765,953,643,216,974,372,332,495,023,541,755,112,597,718,
210,185,303,861,674,440,480,112,124,585,057,815,430,954,487,785,985,632,115,
163,694,912,828,112,122,376,219,049,590,830,964,230,699,942,043,528,367,857,
462,651,101,481,387,065,245,000,055,446,641,187,712,184,151,142,857,991,918,
809,532,551,273,516,659,639,848,140,876,561,200,692,940,078,757,961,509,838,
564,451,033,658,774,137,036,079,173,038,224,205,390,938,681,888,997,557,112,
631,896,577,504,113,297,170,378,573,031,273,118,626,037,792,683,628,656,220,
168,324,772,934,301,209,962,364,808,765,043,838,172,438,359,641,411,502,299,
972,438,829,459,425,526,447,249,074,203,962,229,029,291,249,828,297,105,612,
477,618,954,914,001,238,319,938,121,983,257,275,578,515,685,537,696,851,569,
889,556,280,566,496,564,460,491,633,427,318,243,773,154,746,906,172,729,998,
528,399,058,447,724,538,047,971,175,450,168,491,445,552,653,095,213,909,321,
694,780,228,617,324,142,845,250,923,342,923,502,729,388,307,541,238,202,636,
309,187,204,029,380,018,286,339,382,978,576,989,132,438,614,971,672,385,675,
144,257,811,602,369,227,842,727,741,871,186,052,060,625,230,743,073,425,738,
751,463,866,510,522,958,370,029,192,229,648,770,899,313,395,988,978,941,384,
192,374,588,520,602,132,926,457,122,127,117,206,726,577,795,626,643,234,278,
992,602,305,151,995,447,764,193,780,876,497,369,395,972,691,108,637,098,301,
195,133,563,232,142,775,672,059,491,909,729,008,455,954,992,412,792,244,078,
742,069,982,831,281,622,017,165,613,172,817,578,619,154,264,428,618,544,321,
769,236,519,095,454,672,000,578,196,856,325,648,169,671,685,410,203,442,417,
134,424,120,271,427,650,834,716,732,115,059,970,535,148,808,156,994,032,906,
881,286,551,241,523,263,970,908,533,504,951,630,111,450,121,841,412,036,421,
776,978,537,545,496,693,911,368,366,037,329,952,898,536,447,121,760,201,635,
944,165,240,423,038,882,156,552,180,188,426,337,944,408,052,931,575,037,162,
141,570,792,046,981,877,769,973,049,807,814,047,134,809,818,767,849,257,782,
259,107,327,909,679,069,592,235,911,272,280,176,635,466,549,133,036,194,189,
228,315,472,162,277,607,666,530,372,908,228,258,614,535,497,948,718,688,930,
564,462,027,107,945,866,644,285,852,625,376,501,803,521,676,658,985,267,129,
818,355,401,350,178,449,381,971,614,066,240,371,659,191,815,034,845,240,077,
141,608,658,052,882,138,116,755,483,200,669,996,254,560,803,768,258,266,116,
253,871,695,989,001,520,291,309,819,606,053,821,829,882,139,818,829,713,989,
032,925,375,400,329,282,880,271,579,823,756,864,575,990,466,544,705,815,031,
533,975,252,070,501,988,117,472,378,058,006,454,069,399,538,596,977,534,060,
085,076,357,787,124,397,249,468,822,274,548,564,087,246,457,787,442,317,535,
814,922,805,320,029,672,224,650,457,946,816,294,072,970,940,768,710,936,100,
418,589,014,753,682,623,356,474,571,819,842,195,220,376,791,179,530,934,487,
837,046,368,408,037,702,377,341,651,719,470,642,520,681,835,315,183,040,037,
230,906,206,592,566,040,396,175,041,283,445,953,725,114,166,295,631,356,148,
318,834,521,777,120,255,237,477,615,834,710,702,973,757,152,425,351,206,926,
063,203,858,464,372,553,894,793,337,188,112,501,277,951,205,985,263,670,479,
415,143,466,458,667,977,842,720,912,845,923,133,202,182,555,174,622,819,699,
706,531,989,774,763,039,009,356,559,821,913,731,837,540,315,285,863,829,778,
309,852,584,306,258,270,237,823,023,023,299,610,236,461,919,652,840,721,309,
582,926,998,927,599,735,809,695,342,471,938,063,215,032,022,280,559,684,157,
921,511,130,839,390,658,987,919,305,836,945,534,227,373,050,502,884,714,242,
210,173,673,990,260,411,846,288,213,211,906,988,257,347,207,693,040,035,585,
467,861,523,208,455,019,464,405,186,774,910,445,065,822,061,486,121,135,529,
084,299,766,164,886,525,787,160,651,266,711,255,649,720,410,500,006,377,791,
919,890,438,520,482,469,304,639,255,346,909,300,033,133,840,368,454,599,658,
492,387,125,957,472,122,862,920,745,293,472,466,724,114,565,398,636,634,365,
620,580,228,999,598,658,372,394,604,582,158,104,256,372,800,119,330,443,043,
113,420,886,887,771,396,326,191,903,337,129,246,282,140,844,649,514,779,344,
134,397,795,185,368,364,720,499,531,405,052,081,799,052,758,428,831,089,878,
811,317,845,517,425,890,410,954,844,506,555,569,186,501,056,710,608,899,051,
234,093,531,789,670,585,444,056,150,516,541,350,888,689,912,648,465,978,607,
957,189,810,124,670,476,766,615,217,801,258,582,371,545,053,289,651,225,164,
410,662,737,884,488,817,791,835,145,784,310,163,478,223,822,285,542,437,561,
196,297,893,636,449,512,184,574,351,565,505,590,360,555,732,162,665,510,469,
899,346,447,167,318,906,108,882,124,566,324,827,654,008,959,153,842,123,928,
252,959,622,852,291,116,359,254,477,132,304,036,481,094,762,161,979,370,691,
240,199,222,760,065,395,295,529,074,540,464,824,989,443,926,546,490,210,431,
745,207,578,420,004,834,163,661,470,569,753,816,466,903,079,555,769,381,315,
121,825,343,599,793,136,886,746,552,445,133,505,932,224,652,577,020,753,974,
086,681,729,630,576,887,799,427,593,156,919,705,917,501,210,285,995,351,600,
913,129,486,369,973,465,062,789,012,830,255,480,319,595,627,925,509,342,888,
455,174,359,902,450,344,970,768,246,489,793,321,077,313,673,240,422,418,130,
981,386,981,491,049,700,283,465,502,243,739,092,353,321,673,155,346,303,931,
668,847,380,025,252,596,019,014,574,398,130,916,080,130,474,575,090,437,831,
028,890,193,953,007,163,101,704,620,209,878,640,293,230,137,743,745,925,229,
903,377,445,705,802,653,220,712,706,024,299,941,206,699,195,565,410,263,295,
982,237,439,706,995,965,969,007,695,750,022,093,517,504,707,204,689,025,757,
732,587,748,668,261,382,694,871,904,851,726,117,009,843,193,878,543,806,140,
920,725,032,324,379,522,614,789,767,873,883,221,906,144,698,450,902,922,277,
690,114,566,772,579,644,974,045,335,898,136,190,344,239,677,902,445,165,253,
494,449,692,573,881,783,972,042,390,318,839,966,454,022,962,392,889,855,114,
658,999,887,202,311,072,924,697,101,473,391,862,064,328,836,815,529,853,683,
287,000,927,782,634,277,609,791,334,365,062,898,014,047,690,810,824,861,399,
316,256,102,261,198,150,258,531,482,300,238,066,320,286,274,083,446,663,092,
084,872,922,095,958,124,674,850,418,090,093,862,654,300,506,165,812,644,861,
753,445,532,148,981,938,784,430,615,820,154,622,992,715,061,601,968,705,245,
188,273,666,440,835,587,412,193,087,377,937,561,652,058,700,028,216,410,626,
022,028,135,794,443,048,687,988,052,875,118,549,653,360,075,085,039,510,922,
447,164,664,980,198,048,893,663,486,693,859,847,994,063,601,840,419,049,456,
626,262,332,894,378,063,875,835,371,515,135,453,341,084,031,132,513,323,654,
792,387,621,848,943,706,657,911,622,794,324,491,804,622,326,676,993,486,318,
063,541,383,363,831,350,725,660,796,060,009,036,456,421,879,404,684,596,635,
767,469,211,027,386,288,513,378,043,587,529,613,174,572,064,219,423,275,620,
660,701,140,881,345,803,287,408,501,936,294,625,867,904,454,782,687,275,395,
545,261,941,818,194,269,417,207,125,557,583,062,047,471,265,380,300,639,160,
647,030,459,311,350,606,594,905,937,016,801,457,069,548,442,534,119,754,789,
334,397,686,740,438,933,938,592,448,697,737,356,487,643,334,691,071,544,871,
792,780,991,618,179,547,664,851,315,081,979,507,601,637,441,331,142,184,152,
787,740,096,540,803,890,970,249,180,078,735,143,086,701,703,948,560,412,690,
468,507,125,198,056,316,664,385,056,666,565,450,707,101,560,979,048,552,386,
450,846,177,959,906,918,658,031,304,644,452,834,046,963,391,335,995,614,334,
706,630,860,899,457,924,061,225,611,251,200,329,958,486,305,325,986,799,433,
297,364,103,703,880,986,461,404,368,798,548,404,142,011,216,905,595,567,619,
219,036,569,022,189,137,334,263,022,994,075,823,689,504,970,444,348,616,301,
570,374,466,243,016,068,668,813,625,927,961,515,051,386,744,718,827,004,252,
794,894,647,726,090,247,182,854,313,027,822,525,997,043,965,588,579,465,494,
554,306,306,497,149,328,665,270,707,414,441,277,845,909,889,012,471,455,092,
591,181,772,152,632,457,019,966,803,446,140,396,344,324,943,127,217,291,454,
265,828,961,345,774,144,480,032,950,993,748,142,782,808,250,119,573,799,970,
499,692,419,292,604,467,426,893,387,249,341,052,966,737,669,474,116,398,255,
228,203,233,240,702,918,148,960,192,509,582,640,621,294,546,214,306,070,956,
900,682,082,282,110,592,691,302,831,200,758,370,438,180,823,266,109,414,706,
634,378,099,192,246,719,163,516,832,252,320,754,374,936,527,596,296,757,001,
745,856,805,690,548,796,881,625,159,090,672,631,065,536,181,210,771,121,573,
592,787,589,728,959,902,868,251,189,103,702,622,934,611,613,823,794,770,801,
810,050,210,066,197,245,519,912,711,186,726,312,611,529,687,510,645,465,397,
299,675,962,352,859,973,037,564,344,506,479,317,160,490,841,309,018,504,061,
400,638,689,680,037,982,696,714,588,392,041,125,802,751,708,887,724,678,002,
619,098,485,263,381,408,525,369,703,402,592,093,157,875,025,274,085,647,156,
906,979,494,952,052,353,672,503,438,683,201,294,391,333,779,765,506,580,667,
490,013,279,349,002,334,492,430,839,418,879,022,542,852,092,018,017,370,976,
069,321,962,571,643,820,410,421,351,407,533,850,901,535,361,941,089,116,689,
021,745,008,002,261,584,595,002,873,488,573,032,657,908,545,143,010,184,702,
851,433,427,330,981,424,271,303,383,135,197,144,831,734,738,918,044,447,814,
604,816,921,545,077,142,846,345,612,847,916,909,028,028,486,755,183,849,558,
099,557,848,508,710,031,967,278,046,231,016,077,649,206,478,837,136,470,271,
518,520,782,327,781,391,701,592,983,692,447,320,850,028,318,258,776,442,485,
014,037,489,552,207,542,848,738,190,950,577,283,284,794,995,014,092,301,038,
487,159,962,880,359,824,587,935,521,946,441,007,438,308,095,060,291,546,833,
483,757,029,483,619,070,896,273,042,662,004,735,603,802,022,200,698,523,619,
093,995,575,696,117,256,629,881,740,048,119,699,932,541,145,848,302,206,664,
310,039,888,202,888,313,725,520,317,957,779,615,386,815,164,663,686,957,407,
920,179,883,245,171,553,976,660,796,852,084,460,426,882,157,825,654,382,546,
604,510,408,884,677,325,836,339,240,031,653,687,727,537,738,749,753,597,360,
304,254,678,530,546,769,853,526,523,522,319,962,859,760,783,217,335,050,089,
273,178,441,351,807,541,658,899,495,971,284,301,857,092,438,633,364,636,603,
848,182,301,937,641,862,804,460,553,912,360,714,382,883,859,022,997,602,479,
574,630,594,176,123,129,783,839,260,105,434,594,205,337,222,814,191,596,007,
043,760,264,371,841,527,346,746,641,972,432,395,899,177,948,548,474,452,469,
726,576,319,288,922,321,841,830,822,806,572,791,171,229,944,871,954,289,093,
787,117,179,645,795,361,893,911,604,408,925,099,058,707,822,227,956,415,622,
346,612,277,159,857,782,205,934,215,874,391,982,141,265,948,835,585,218,249,
834,489,463,930,341,634,667,922,751,014,173,657,114,287,878,788,610,055,028,
622,748,989,425,834,544,018,112,390,647,476,871,186,226,675,195,842,489,263,
119,000,485,297,219,069,007,872,681,362,940,827,475,276,456,326,690,351,707,
665,921,742,542,438,815,153,774,811,769,045,154,078,879,631,176,822,762,239,
078,515,443,259,479,805,611,578,638,457,985,547,490,300,928,668,625,171,200,
792,498,867,306,628,298,589,962,577,897,492,872,975,448,273,896,195,366,149,
073,102,233,396,792,243,316,936,748,023,874,675,901,976,198,701,683,303,506,
035,386,954,008,078,249,487,476,047,669,203,030,503,891,425,315,505,091,519,
650,819,166,102,737,370,052,867,414,860,226,480,422,525,802,170,016,108,849,
836,001,840,513,798,502,427,397,080,025,650,521,883,030,361,748,562,743,820,
827,388,246,412,824,699,185,176,686,805,530,348,885,630,934,890,294,483,629,
653,134,338,668,210,212,719,320,577,474,780,670,356,156,571,986,774,682,184,
696,026,236,784,735,634,306,872,123,782,692,603,450,438,896,940,548,796,755,
963,387,840,562,911,234,309,546,071,565,232,346,911,006,560,844,711,962,837,
079,220,984,544,277,629,007,278,936,083,456,529,592,264,482,567,032,443,578,
670,262,085,976,207,386,896,850,541,028,084,671,843,290,576,650,981,959,789,
086,748,004,649,230,486,596,265,550,557,108,678,418,750,932,340,051,066,809,
935,033,448,455,416,400,428,262,129,122,580,132,254,327,055,932,157,607,174,
694,050,911,537,725,807,271,643,084,719,055,984,922,128,283,917,760,381,092,
131,044,670,873,607,921,057,888,282,480,775,539,855,802,552,310,701,365,355,
388,230,908,863,910,224,382,914,668,413,511,821,258,703,914,912,971,773,190,
437,711,960,895,192,262,550,729,626,119,208,873,835,538,660,579,279,606,454,
710,851,920,110,082,168,872,214,167,266,231,878,621,838,076,088,287,875,823,
536,069,413,299,959,452,632,049,843,997,190,644,854,434,469,628,503,701,968,
155,545,601,622,118,323,156,421,154,933,818,732,802,625,636,658,634,157,183,
582,270,703,673,502,757,367,820,306,047,097,951,274,564,824,170,098,752,103,
372,054,758,674,896,262,973,317,955,282,427,545,478,594,738,506,230,761,133,
127,678,706,799,779,737,603,186,338,451,946,117,281,282,293,898,607,096,714,
377,746,286,002,102,064,038,280,998,975,684,494,900,854,670,750,534,121,480,
949,134,996,883,308,880,037,942,633,514,192,289,356,958,388,114,244,651,080,
201,444,573,405,922,024,669,459,001,378,403,686,828,411,398,754,364,730,786,
310,861,109,376,869,950,001,294,911,324,608,722,505,840,192,694,260,981,924,
049,694,219,491,594,763,661,939,156,779,012,746,573,064,573,977,686,914,207,
248,647,759,999,966,509,993,049,748,594,842,599,847,352,947,319,313,122,019,
675,726,795,183,703,185,039,708,515,558,706,810,459,173,334,976,685,119,963,
600,366,729,542,684,298,214,299,748,650,938,784,288,278,802,657,274,619,969,
806,305,892,149,803,433,694,492,268,560,674,806,217,215,903,255,998,253,869,
430,173,932,631,024,606,942,457,682,221,816,843,830,032,814,140,308,890,115,
211,566,662,566,198,759,410,595,710,487,824,493,698,331,040,698,143,437,794,
878,780,784,602,133,850,813,346,282,727,401,643,557,607,220,647,615,562,731,
151,179,691,152,964,983,974,079,271,041,791,625,421,366,286,618,659,981,616,
380,898,848,161,676,695,396,970,627,332,532,458,131,055,200,606,293,044,877,
657,107,228,649,583,598,153,996,484,499,897,685,229,363,457,008,008,357,264,
043,750,729,317,143,471,152,303,037,921,790,289,485,870,655,455,687,350,090,
983,428,314,070,210,883,275,637,976,258,421,032,206,631,369,790,976,619,702,
877,985,292,209,325,353,359,761,617,073,944,792,997,360,062,286,283,793,987,
861,488,295,215,918,564,903,971,216,503,889,021,687,197,841,816,422,188,739,
809,939,982,522,524,276,540,008,281,790,570,510,462,839,359,239,187,410,598,
230,808,193,386,770,256,472,249,018,320,290,489,612,146,260,762,263,568,775,
898,257,007,335,306,259,540,332,422,456,245,229,908,870,622,338,606,892,001,
962,003,651,125,822,122,377,223,930,091,358,640,057,649,861,514,835,650,421,
294,170,917,594,976,717,761,808,425,763,857,112,801,161,549,109,676,285,037,
464,859,949,985,571,219,187,964,237,541,312,970,337,684,650,345,554,120,927,
568,271,548,347,274,083,413,562,466,112,415,540,218,229,556,078,256,647,040,
941,226,565,063,155,489,802,573,936,436,178,342,636,911,492,333,842,431,840,
230,251,571,758,056,863,963,635,942,772,940,736,409,629,640,673,474,219,380,
650,204,992,893,784,807,910,654,459,772,617,831,410,922,242,384,606,769,232,
373,821,503,600,698,805,259,522,594,754,677,460,809,959,179,593,468,120,763,
162,523,830,876,736,933,916,249,262,617,577,761,555,781,194,236,416,791,954,
852,389,551,015,369,130,969,386,753,278,295,472,838,289,538,119,479,675,721,
368,845,490,049,125,817,436,693,348,749,043,376,638,974,398,161,374,862,991,
900,167,195,444,834,416,325,723,540,692,307,845,080,360,979,821,022,194,149,
395,746,389,204,245,493,326,227,806,057,753,109,626,433,374,474,368,200,038,
233,672,531,645,614,649,121,509,789,529,806,007,658,395,548,010,263,164,273,
842,901,762,918,337,485,934,544,824,589,028,348,505,313,178,736,289,305,394,
857,555,021,536,056,923,138,926,430,888,349,355,615,167,724,767,128,122,203,
118,931,363,568,585,902,447,810,857,508,742,064,649,961,241,973,791,170,083,
624,108,117,333,656,270,154,788,008,311,860,340,122,955,642,823,818,163,732,
657,395,553,413,883,473,709,937,727,603,295,745,394,049,676,895,274,981,292,
782,158,837,353,163,890,566,505,300,987,484,148,582,636,952,200,445,059,116,
512,847,369,896,543,839,733,735,312,599,394,416,336,600,400,054,541,069,358,
792,064,713,968,010,977,848,624,995,742,139,014,026,162,760,525,354,642,246,
154,123,668,459,523,774,598,234,308,873,534,942,508,574,063,157,137,829,164,
681,578,956,941,135,134,862,554,716,849,954,498,415,958,583,041,847,525,615,
935,645,285,377,193,646,538,105,387,239,202,351,721,976,243,127,922,710,770,
295,362,652,449,878,511,354,577,066,242,880,088,619,976,689,528,026,576,217,
847,159,377,740,100,556,164,448,728,430,994,866,486,176,032,879,447,579,229,
703,476,420,539,312,557,811,330,329,470,996,734,032,084,027,503,341,757,664,
404,956,729,582,477,221,628,418,240,962,015,293,978,771,325,297,972,999,958,
059,864,051,234,737,637,825,915,418,061,287,367,342,972,908,929,885,043,140,
297,132,684,609,719,890,860,409,995,526,663,627,978,375,475,543,956,199,645,
098,711,313,005,363,113,695,426,626,002,067,767,798,995,017,375,366,360,294,
110,167,722,947,315,897,776,598,224,701,717,853,981,603,555,029,774,559,934,
022,023,752,341,223,280,752,894,249,917,692,121,063,837,098,053,312,732,523,
629,500,355,195,812,004,275,997,500,944,032,023,269,232,154,895,067,793,628,
373,538,614,104,911,185,458,725,448,668,743,096,422,911,495,893,075,040,038,
760,554,981,377,849,218,485,756,961,513,066,375,311,173,593,033,191,831,899,
328,093,996,204,479,869,721,861,421,258,900,137,356,337,593,299,314,751,241,
566,963,221,169,125,380,356,056,381,351,804,649,925,084,183,839,091,481,329,
633,112,476,913,940,267,734,454,460,238,856,557,342,162,911,626,512,063,719,
092,734,825,360,883,075,377,997,304,343,239,962,123,213,190,019,323,009,108,
322,271,153,153,364,017,928,936,720,623,173,916,254,601,884,053,569,782,086,
839,487,770,531,379,304,628,267,359,573,713,435,872,380,345,018,360,389,206,
879,501,955,504,817,792,650,629,262,134,834,488,793,916,242,625,115,075,950,
828,848,231,605,187,800,904,129,881,985,181,719,630,894,996,613,109,864,767,
531,913,710,339,672,208,790,166,455,398,473,679,789,639,604,430,944,465,223,
988,947,343,140,435,362,261,877,866,615,376,885,467,484,104,020,264,325,446,
060,297,923,411,526,289,659,520,948,947,208,432,329,169,560,451,664,365,452,
878,451,657,607,290,300,984,806,405,148,062,496,368,931,661,743,877,590,701,
117,893,982,877,313,578,896,004,180,649,524,866,293,493,999,507,703,744,917,
551,119,897,281,433,589,803,820,580,873,821,428,197,791,179,957,551,562,280,
875,030,002,520,445,780,644,911,575,341,215,404,964,223,977,681,521,049,014,
658,216,008,489,765,801,642,828,585,366,905,935,818,544,295,972,793,964,596,
508,492,265,619,789,197,043,546,021,598,871,354,877,984,487,707,861,077,182,
228,989,215,167,239,388,732,155,273,936,640,747,854,251,484,748,387,252,968,
349,456,425,248,617,938,480,280,188,674,849,726,470,966,330,624,221,874,650,
640,061,519,520,042,959,329,515,402,956,599,595,774,693,611,347,091,963,365,
499,202,147,492,242,090,398,592,903,346,229,770,945,675,531,657,389,916,116,
823,933,473,093,838,200,559,401,995,686,783,474,576,261,405,008,041,056,118,
456,486,136,719,836,086,585,104,378,912,031,141,959,100,313,035,706,952,326,
241,692,302,462,912,432,168,696,875,784,612,949,914,884,906,545,257,898,933,
089,469,905,794,895,858,649,777,464,961,381,869,108,084,057,645,704,446,847,
943,527,400,612,419,619,144,626,554,974,843,858,206,559,365,596,410,886,710,
153,660,521,401,177,564,856,265,799,098,113,119,783,934,918,234,593,256,572,
366,350,567,904,306,461,180,445,426,328,813,451,863,609,931,393,163,734,785,
520,005,377,546,847,155,349,812,931,121,521,408,248,186,844,324,767,530,721,
980,545,304,477,621,503,882,546,954,234,377,533,132,956,929,032,059,473,139,
739,401,178,702,951,144,906,457,797,160,299,549,574,123,763,125,951,761,641,
906,871,261,476,364,888,837,113,735,247,061,568,473,013,885,785,665,388,583,
670,595,224,805,452,239,895,002,922,211,900,444,374,669,601,753,537,502,755,
981,171,691,263,625,043,264,589,542,888,155,473,946,745,629,695,177,209,662,
293,538,147,301,552,156,503,162,684,383,215,460,545,989,627,989,551,972,675,
682,700,269,414,362,710,223,101,976,498,226,198,393,108,746,023,227,341,198,
306,534,253,099,280,128,771,581,327,661,483,265,533,255,803,447,619,193,271,
781,304,797,707,767,739,733,770,351,682,614,194,990,765,423,548,048,019,505,
199,164,986,139,966,015,726,383,286,875,322,296,897,125,042,962,663,050,457,
515,540,723,298,489,126,659,939,449,130,774,358,980,773,416,228,503,891,459,
222,916,754,018,390,859,794,860,345,796,328,575,234,079,553,983,569,835,454,
726,633,345,168,637,915,185,799,029,023,441,737,355,665,863,388,918,296,181,
884,016,039,373,891,264,139,568,231,670,613,929,895,020,361,280,776,377,359,
488,358,039,211,454,875,736,244,333,926,353,970,036,532,483,745,671,223,778,
748,925,915,698,428,650,294,784,535,750,376,432,370,342,699,245,675,580,861,
080,857,749,793,118,433,912,298,716,559,280,752,777,762,106,407,927,035,593,
454,479,919,316,100,454,770,144,349,546,720,376,871,992,575,652,198,415,163,
829,615,983,082,771,565,363,650,618,334,014,586,966,650,523,930,858,925,584,
893,589,122,041,660,644,288,428,441,883,069,691,980,365,626,171,983,690,073,
246,808,925,385,826,912,948,032,958,964,431,538,711,464,018,386,884,091,413,
598,007,645,963,423,305,005,898,576,606,367,276,149,184,629,034,215,529,693,
096,297,564,477,767,705,885,751,728,706,652,912,867,890,637,978,206,868,043,
250,913,048,558,026,117,770,939,350,985,278,239,833,502,070,085,551,018,466,
894,583,593,787,902,555,178,345,442,012,362,602,223,919,773,075,337,366,074,
249,508,644,095,161,689,469,667,687,368,307,991,602,059,018,903,017,817,568,
432,785,589,920,514,763,458,936,599,160,411,542,302,368,335,978,755,906,790,
095,595,955,068,417,000,504,805,344,946,348,191,893,006,244,480,449,898,865,
467,652,128,327,407,764,646,969,800,711,475,789,436,572,861,941,931,865,380,
779,563,967,766,238,642,449,411,316,759,636,056,112,345,318,948,584,937,070,
575,020,325,199,975,765,413,345,028,087,592,621,938,798,489,691,499,859,543,
299,322,965,024,212,862,593,464,918,611,422,294,767,931,666,875,314,711,448,
180,042,197,423,168,974,729,007,460,117,464,051,870,762,849,808,195,788,864,
795,920,574,608,509,549,257,451,822,190,441,485,984,958,453,736,208,745,137,
747,742,733,384,119,959,704,493,816,518,088,393,443,671,858,352,441,130,311,
202,808,802,545,016,177,127,340,226,646,806,156,026,525,390,047,899,229,628,
315,365,107,778,275,856,591,752,666,682,786,392,312,653,228,683,111,194,192,
773,262,803,296,666,797,816,629,561,189,084,992,420,234,886,068,412,237,849,
776,059,509,145,121,123,658,963,306,879,835,713,539,030,892,488,124,180,335,
727,391,731,242,498,344,593,520,282,366,228,200,471,948,223,767,291,769,845,
320,153,002,535,673,525,489,001,659,402,838,507,708,491,249,441,439,817,177,
202,543,910,877,213,014,894,415,386,584,460,090,131,890,842,028,072,522,320,
288,137,369,008,868,922,837,526,524,203,858,867,643,682,900,101,347,691,942,
644,666,137,723,046,651,519,475,915,762,337,656,022,069,580,213,116,451,592,
420,292,216,963,819,666,890,519,058,191,099,836,553,941,085,678,560,372,994,
048,979,955,731,367,649,448,064,530,110,690,832,679,271,601,583,449,576,427,
682,198,081,085,349,517,247,810,766,730,010,799,746,754,771,316,088,803,293,
100,345,604,710,373,822,574,938,571,623,000,672,347,665,705,198,483,983,175,
848,447,448,414,181,237,293,194,118,213,116,410,733,255,581,697,732,258,556,
095,964,095,151,601,142,219,480,990,036,159,456,910,739,536,275,410,234,684,
777,201,083,666,958,424,265,546,732,395,225,404,242,446,397,001,613,241,482,
512,814,131,675,520,078,029,376,491,326,533,481,265,201,787,339,211,837,616,
104,557,950,224,159,808,625,472,055,289,883,456,356,611,176,443,633,828,270,
689,571,336,187,980,556,005,617,584,037,514,210,766,251,709,812,895,914,741,
589,476,270,140,977,355,044,245,995,377,641,715,450,229,075,465,454,463,688,
796,198,110,072,222,381,791,596,907,811,455,660,856,413,745,228,511,890,879,
029,147,365,517,220,480,187,824,724,963,188,830,415,903,303,915,441,549,660,
652,579,461,569,944,742,483,415,927,093,133,485,647,088,180,345,086,463,869,
881,935,746,544,800,820,304,276,820,853,317,874,194,010,475,842,238,898,133,
135,243,469,043,815,955,043,273,874,591,468,546,869,323,938,829,595,854,031,
794,043,826,922,257,450,741,039,426,180,139,713,278,697,136,696,058,660,295,
277,207,820,124,286,243,138,250,485,467,121,845,883,451,333,304,852,982,541,
068,353,318,924,451,815,041,670,410,642,123,263,176,360,612,977,149,702,407,
197,128,610,262,342,395,929,454,338,063,734,248,256,252,493,463,353,352,775,
626,915,781,210,508,500,131,596,710,758,334,607,434,473,071,791,583,629,210,
035,752,255,130,806,095,327,663,864,705,073,250,113,792,087,766,424,244,118,
900,282,025,928,189,458,509,180,418,576,877,401,753,187,656,256,155,797,887,
606,698,469,174,366,202,938,504,790,141,707,557,751,117,631,296,035,193,106,
084,515,861,795,502,876,883,161,411,772,545,465,910,795,732,144,545,131,522,
981,041,474,021,396,978,169,562,321,496,536,056,723,687,191,889,859,173,205,
032,855,694,058,830,771,863,550,776,845,647,329,285,908,302,858,128,856,535,
076,143,804,320,788,035,390,993,195,201,912,115,909,684,007,378,241,750,259,
427,716,949,735,391,297,729,222,195,341,029,709,460,806,514,806,703,570,786,
935,218,253,754,284,221,428,116,798,411,567,130,859,668,247,797,969,530,402,
037,491,233,640,262,989,219,525,039,308,114,854,614,590,382,751,790,545,320,
535,976,285,836,563,150,021,827,540,497,865,516,714,374,879,494,131,540,489,
585,104,687,877,736,839,484,317,141,943,875,372,508,986,570,363,772,633,108,
812,990,690,714,018,023,023,765,192,544,384,265,249,651,259,078,333,741,658,
332,301,773,216,874,606,190,297,074,343,877,895,815,347,511,052,032,876,877,
864,787,380,731,164,140,639,658,723,393,247,086,982,048,706,320,925,841,678,
177,826,583,880,702,522,985,169,637,097,371,429,232,824,360,943,932,513,960,
085,988,907,178,642,109,988,900,098,115,850,771,707,410,382,787,826,138,075,
131,026,819,943,177,940,291,815,510,376,280,960,115,397,468,600,144,125,540,
216,373,790,670,841,328,472,795,346,277,617,925,399,011,007,911,092,752,835,
122,845,567,812,930,454,983,656,017,543,551,684,044,497,521,514,269,887,158,
940,178,393,562,261,633,937,451,415,947,584,684,868,810,416,693,716,120,400,
026,923,433,360,039,839,390,994,461,057,937,950,260,345,203,577,805,248,702,
419,483,585,713,146,662,078,350,071,648,686,194,452,077,913,972,500,921,805,
228,718,322,336,291,836,213,791,867,802,419,587,257,930,079,450,210,976,318,
126,409,232,261,590,247,856,797,675,180,936,498,762,347,261,826,945,488,369,
417,459,524,448,690,645,705,533,341,137,611,954,939,585,320,206,143,544,349,
087,755,777,219,370,173,384,489,242,765,538,453,860,041,101,742,544,420,410,
620,165,399,638,037,941,085,106,754,459,247,030,073,244,897,739,662,740,507,
991,827,337,159,857,606,738,038,655,174,563,892,228,982,911,057,881,177,505,
314,567,066,655,843,159,032,404,700,149,546,503,261,474,795,164,675,182,207,
185,384,767,446,161,964,465,863,478,363,783,111,415,563,089,488,043,534,806,
820,850,572,973,877,072,195,074,936,910,551,028,319,197,177,918,625,802,504,
280,845,266,992,322,008,948,330,278,382,034,451,902,110,237,463,740,100,780,
708,507,363,655,453,406,497,659,816,007,189,643,851,487,415,360,248,661,788,
123,765,360,773,100,620,799,099,855,371,631,217,123,105,575,998,294,169,390,
532,326,188,076,668,065,516,003,078,772,365,483,535,525,174,943,048,810,582,
937,071,903,689,515,222,181,238,370,054,467,691,969,293,147,362,897,653,298,
629,495,546,220,334,877,040,237,726,767,607,409,933,422,749,879,193,654,876,
854,795,277,836,761,512,660,037,257,378,142,643,861,228,988,637,573,322,677,
596,846,930,647,489,031,516,391,978,565,772,630,555,909,713,596,763,356,363,
544,471,439,660,537,063,134,742,895,323,974,650,624,038,476,597,722,078,815,
388,323,094,933,955,408,245,105,695,435,208,559,200,878,092,300,101,580,386,
167,700,664,885,059,728,742,928,965,906,372,195,949,184,239,092,138,022,575,
592,766,581,553,555,673,063,574,583,756,554,324,919,005,125,940,552,572,288,
117,460,141,876,270,544,044,457,851,605,428,694,827,461,034,256,490,160,004,
192,060,717,071,856,920,375,234,128,818,779,871,014,061,255,611,636,812,805,
634,792,494,757,574,400,597,410,749,729,751,285,001,546,244,927,896,722,108,
310,290,511,297,875,200,414,346,282,916,079,913,300,781,346,369,831,353,311,
618,352,446,060,012,349,277,866,774,139,102,036,234,536,558,250,669,432,748,
142,832,123,267,371,573,634,587,787,670,732,689,554,458,609,737,217,501,245,
914,879,551,242,241,337,068,807,244,867,929,976,212,956,177,086,637,998,466,
552,366,013,477,478,072,184,956,595,166,463,141,280,349,385,029,671,259,415,
627,832,261,082,361,455,792,484,976,426,345,621,622,140,228,048,614,677,456,
951,151,027,223,297,336,199,445,368,110,949,597,478,760,583,333,106,982,727,
465,362,986,437,454,482,900,135,084,332,165,303,798,262,060,734,769,829,788,
497,510,573,238,841,375,457,155,191,924,734,356,430,801,999,588,028,834,789,
615,990,045,812,669,047,580,786,103,505,422,655,863,746,359,553,275,929,616,
970,008,000,875,867,977,996,126,011,501,875,221,522,549,129,927,649,587,355,
873,470,504,027,759,918,118,386,044,368,698,941,506,095,695,080,725,318,818,
483,320,248,135,689,202,633,130,960,638,964,190,388,645,421,774,125,510,600,
145,147,842,908,842,671,109,370,917,875,099,684,092,832,567,772,136,509,297,
910,640,317,954,025,469,857,387,327,324,976,231,304,623,603,431,734,846,859,
088,782,365,244,972,658,839,230,830,793,543,738,721,597,644,518,140,393,335,
743,676,616,652,655,281,573,943,029,944,049,424,464,367,013,266,364,054,957,
684,981,599,307,101,652,718,158,633,646,569,437,049,165,147,460,701,796,718,
001,424,892,128,498,669,929,452,669,427,661,019,662,999,294,872,593,792,486,
881,049,769,226,687,408,743,651,377,389,500,435,723,854,100,164,000,583,545,
349,704,012,744,649,243,862,070,906,708,614,316,143,480,203,626,795,792,057,
599,849,449,103,196,816,223,947,857,786,584,247,618,947,077,486,525,745,445,
745,633,209,441,730,259,879,452,865,987,359,185,543,712,968,926,948,263,481,
143,840,012,384,785,179,666,604,508,615,375,649,824,835,536,764,569,663,126,
585,717,353,965,404,546,889,652,095,205,778,094,690,192,496,287,221,310,191,
367,260,914,142,418,908,390,180,829,058,983,641,311,891,195,711,482,714,574,
783,100,895,065,563,168,016,761,347,985,311,555,781,408,026,359,763,644,658,
089,565,416,160,519,915,495,463,357,451,945,692,418,008,332,331,127,281,129,
310,396,396,535,985,598,846,923,961,470,003,007,664,366,151,897,974,256,607,
226,980,086,327,962,847,923,814,967,029,971,372,728,914,170,526,118,525,359,
952,634,530,851,855,925,659,932,726,003,268,130,804,768,004,929,290,683,824,
907,783,992,315,817,483,418,448,079,837,128,547,099,520,789,674,877,816,893,
804,914,630,760,549,556,420,217,596,409,769,380,667,706,849,622,456,402,240,
903,937,393,567,237,032,678,524,264,022,690,164,392,201,944,680,570,846,443,
604,831,749,629,603,648,639,600,521,925,541,108,084,024,523,899,308,390,513,
551,323,641,270,411,741,404,255,520,717,376,958,420,051,685,481,902,025,895,
534,104,098,704,222,860,786,608,862,895,562,144,567,586,577,973,934,138,899,
931,775,235,240,708,029,086,831,196,046,757,203,824,099,438,585,996,772,359,
985,368,768,821,378,371,128,058,796,419,660,221,871,551,962,523,188,230,607,
712,304,995,950,301,735,601,909,755,716,889,010,460,491,122,723,728,168,437,
635,197,366,198,756,655,142,879,415,167,364,822,625,079,793,624,283,910,027,
611,299,422,641,380,323,361,394,968,598,491,325,934,149,646,102,941,227,301,
124,767,426,216,151,320,084,768,144,842,386,190,788,199,733,757,469,878,277,
444,622,659,219,433,620,289,713,161,384,968,754,097,563,700,057,586,867,799,
768,526,760,082,097,045,481,986,732,879,469,441,564,950,594,775,379,163,048,
705,750,171,109,727,012,996,175,310,417,472,895,116,706,866,536,116,889,586,
239,252,953,161,012,260,844,132,095,144,373,942,546,387,039,910,907,518,383,
513,109,445,779,285,507,709,115,592,511,651,409,941,411,658,094,807,934,425,
323,679,081,077,825,085,349,649,938,746,517,887,411,605,565,395,547,959,614,
915,434,169,773,940,071,373,350,708,836,365,010,759,153,733,593,479,619,235,
095,134,646,354,706,501,438,377,221,141,922,772,387,122,418,119,079,279,549,
873,645,184,075,827,765,555,549,213,133,536,429,436,056,672,634,272,841,968,
155,557,191,288,474,580,026,956,097,167,533,296,622,021,310,857,128,351,358,
852,042,409,799,241,020,682,364,829,629,357,108,163,249,970,041,583,740,135,
016,969,291,326,661,460,624,848,307,871,004,363,056,437,235,560,588,846,701,
125,530,388,697,523,995,675,974,410,000,126,931,962,879,385,143,454,704,257,
151,214,828,621,367,930,551,680,785,668,745,493,179,159,230,347,490,786,406,
340,216,238,027,333,707,097,148,360,511,880,950,613,503,421,619,142,736,735,
592,301,481,060,526,170,783,450,075,242,746,643,548,422,741,670,021,032,725,
447,485,885,814,016,777,827,327,204,089,543,873,775,852,486,947,659,774,882,
332,132,295,934,036,370,431,991,535,579,298,305,297,829,149,737,455,527,138,
280,069,043,588,916,103,053,074,824,356,434,524,992,194,381,781,499,703,863,
292,159,538,627,384,727,365,480,452,278,676,489,671,055,812,745,599,545,627,
437,160,300,497,899,365,354,355,884,475,426,415,387,898,897,297,699,577,529,
746,768,522,641,940,718,528,222,700,697,615,293,618,374,056,178,769,385,321,
482,961,045,902,459,954,504,702,664,691,050,709,745,808,618,411,805,099,285,
275,595,266,716,866,645,289,595,577,226,956,374,071,572,698,478,904,935,683,
767,007,787,749,465,130,845,929,556,806,743,552,684,129,722,089,852,230,955,
423,489,112,984,269,515,996,672,642,918,418,127,852,966,718,236,474,186,465,
273,922,109,220,615,438,028,613,957,108,310,549,855,147,871,692,801,885,899,
171,736,575,574,025,639,456,666,456,949,179,158,277,373,985,007,390,086,211,
988,839,670,727,647,231,345,144,050,566,638,800,800,115,281,235,614,723,993,
951,154,468,425,640,086,816,831,049,629,514,024,508,347,175,515,797,535,635,
956,673,554,588,727,410,489,883,442,815,682,868,258,610,581,365,360,226,647,
737,800,990,217,395,780,158,338,163,658,927,966,260,664,480,216,526,194,741,
524,093,932,675,813,792,731,934,432,021,445,884,977,949,382,957,531,054,165,
221,479,712,255,272,331,751,637,932,371,618,319,274,644,170,943,616,762,617,
202,350,118,816,806,110,073,107,645,400,543,012,359,209,800,179,101,288,988,
146,975,806,117,603,471,848,857,482,330,820,855,629,376,356,882,547,738,408,
040,075,253,740,631,682,433,477,506,750,626,581,010,353,264,404,677,058,829,
118,427,053,529,984,560,999,613,679,022,314,373,924,147,264,626,574,544,456,
881,671,574,362,126,381,144,700,874,304,705,085,351,291,567,979,993,731,382,
176,967,423,764,786,745,741,489,832,887,946,108,577,989,992,182,296,493,032,
818,552,972,942,032,793,403,796,391,690,508,981,931,007,347,248,626,836,029,
129,329,546,902,150,783,355,965,009,177,326,018,609,865,785,712,981,596,031,
590,803,591,063,559,450,908,438,069,124,468,398,797,179,216,013,152,882,167,
245,851,064,590,414,500,538,135,020,145,758,766,573,928,049,222,854,909,985,
774,332,249,134,442,185,731,146,906,326,947,161,290,179,835,899,869,767,064,
238,226,267,875,578,391,972,790,315,016,583,914,595,996,160,070,209,416,984,
927,517,373,534,892,896,957,482,731,304,395,697,554,574,134,679,702,161,076,
198,450,334,572,699,499,682,033,901,530,304,615,431,692,146,317,349,178,528,
428,627,872,576,814,216,826,066,280,362,292,361,940,649,629,836,367,118,199,
174,107,447,019,575,193,903,715,720,898,630,218,996,358,308,196,847,238,502,
359,600,381,371,439,147,007,006,942,270,838,666,069,712,618,252,539,670,403,
610,457,970,789,455,666,528,249,824,476,417,539,629,446,416,139,115,266,802,
854,894,010,020,348,936,062,800,560,310,255,893,945,966,017,838,302,003,923,
966,842,263,580,120,882,301,825,057,107,041,206,642,914,596,336,073,615,946,
371,387,124,087,854,747,395,051,537,138,949,089,393,741,634,175,606,952,063,
459,037,221,990,427,979,981,954,184,384,341,455,660,614,698,686,864,178,362,
207,945,065,146,130,480,816,509,106,241,840,484,032,245,587,425,019,477,574,
280,833,477,462,489,055,417,557,280,933,875,647,212,913,831,599,285,386,922,
116,505,458,397,856,540,595,115,524,653,753,848,345,167,606,602,929,309,672,
998,099,210,219,042,638,451,837,062,188,741,078,067,308,749,260,409,525,286,
832,134,954,627,295,286,478,798,064,233,788,273,877,232,567,377,970,572,891,
154,752,975,963,839,923,412,329,350,179,087,612,948,984,295,277,430,293,996,
081,411,696,512,374,448,840,648,884,903,943,964,051,117,143,568,544,436,290,
687,013,957,776,173,617,390,009,528,559,660,026,811,078,648,697,988,605,452,
839,570,260,010,645,584,659,251,527,675,902,887,375,858,738,277,107,486,534,
841,615,926,637,024,218,569,404,505,368,091,086,177,551,305,083,080,813,988,
845,041,946,895,907,578,687,462,817,837,330,530,883,074,260,803,559,608,469,
071,933,022,134,400,624,807,315,257,184,194,751,817,792,650,426,589,474,036,
688,378,285,900,603,981,689,115,582,205,799,737,436,012,722,734,220,368,250,
384,957,654,094,339,966,405,316,307,413,080,032,482,084,522,008,640,716,491,
687,674,661,535,565,468,250,706,681,456,967,264,322,777,474,179,472,478,734,
607,657,603,071,566,570,835,277,907,023,185,065,221,412,553,301,784,857,638,
269,976,158,510,782,841,592,931,031,858,298,138,242,463,811,968,491,346,382,
483,795,211,614,882,220,033,488,477,539,863,766,780,365,917,132,675,855,757,
672,562,186,096,133,102,828,528,250,314,461,570,499,112,874,890,915,785,681,
385,877,759,240,746,699,314,585,949,467,856,001,991,298,085,792,409,788,237,
808,630,670,629,047,648,632,172,849,360,159,070,561,905,806,487,671,310,570,
619,489,497,721,861,312,757,978,215,490,293,057,678,199,780,284,192,881,620,
277,500,611,326,243,139,234,952,120,306,350,754,988,585,096,819,712,226,560,
494,813,690,422,230,795,360,435,304,402,507,335,882,678,757,651,498,686,558,
510,335,714,650,032,292,031,681,160,206,383,746,085,571,191,049,707,122,240,
650,952,270,719,813,837,517,295,214,063,858,657,488,800,219,337,818,327,502,
965,063,602,370,057,637,906,222,540,963,262,475,394,492,383,286,969,820,591,
940,902,175,968,698,845,680,478,128,950,726,646,945,035,028,277,709,198,614,
058,575,480,663,695,608,121,627,084,670,404,013,026,368,561,394,741,744,194,
391,063,631,722,296,631,269,579,682,631,754,274,978,491,282,248,130,389,414,
767,105,757,852,184,821,180,692,134,496,515,056,592,622,880,641,161,969,922,
621,280,165,947,071,609,262,064,569,757,616,830,145,906,783,778,479,231,068,
368,635,653,650,574,494,592,839,133,397,624,426,190,757,887,091,430,755,011,
446,425,565,173,544,406,043,504,262,214,087,597,577,846,000,240,055,153,231,
222,299,366,046,560,062,101,795,029,420,243,878,011,562,128,826,586,452,161,
563,228,602,611,764,348,526,470,658,449,306,023,852,165,483,307,818,693,760,
569,210,560,122,873,575,587,175,819,154,358,216,750,992,085,088,557,953,266,
523,759,647,600,956,467,920,508,083,063,224,221,231,475,726,959,478,613,484,
444,854,061,517,124,795,895,942,232,885,119,718,221,712,209,721,018,148,721,
196,434,630,969,240,521,329,749,756,414,588,209,795,143,530,555,318,012,653,
335,182,394,982,091,685,115,485,880,666,394,982,118,632,063,765,368,977,874,
448,960,801,121,142,617,513,395,016,508,710,511,713,584,577,517,611,963,747,
112,010,947,757,601,264,354,305,002,861,105,140,014,459,643,500,583,307,436,
160,269,437,841,848,643,956,826,754,850,961,641,960,115,125,956,977,888,618,
711,477,900,933,851,025,486,782,434,458,553,067,018,292,862,228,711,283,061,
500,993,372,707,726,628,609,110,961,182,355,759,541,833,788,966,449,511,303,
048,007,748,837,600,209,474,899,224,850,460,496,610,580,885,211,853,519,576,
223,808,260,321,601,497,398,151,113,331,318,766,603,109,057,749,876,844,005,
810,960,683,523,135,981,806,151,365,754,318,066,933,992,333,143,991,164,643,
958,940,022,821,828,151,767,929,749,486,795,891,185,587,980,943,297,314,323,
167,524,605,312,677,110,358,727,950,937,978,726,828,572,317,887,857,180,930,
892,001,228,750,271,843,794,153,414,510,190,770,415,782,664,703,636,237,922,
147,417,407,815,945,318,927,950,597,903,758,538,388,921,438,091,094,978,345,
276,370,455,290,360,699,079,402,481,671,843,917,366,636,883,499,370,651,290,
263,714,974,840,639,440,318,714,230,104,967,289,337,674,280,755,914,453,077,
016,966,271,367,438,386,149,391,945,964,391,550,787,271,905,538,568,477,198,
367,987,521,799,457,746,773,963,700,380,211,151,215,255,477,648,314,496,436,
025,724,018,007,706,645,929,774,908,635,862,673,749,632,482,615,834,802,468,
165,761,747,062,702,489,488,084,421,993,636,086,338,355,200,690,392,276,759,
822,063,775,026,763,678,430,642,141,210,859,515,878,818,236,133,650,337,255,
107,819,805,789,320,127,774,818,428,956,639,191,397,244,094,650,781,352,730,
030,240,427,095,421,395,862,596,461,007,701,130,088,326,844,976,020,599,581,
180,128,648,401,684,392,475,253,835,444,439,096,424,648,768,786,099,973,392,
381,663,221,548,010,444,052,217,251,946,937,696,652,881,933,222,650,696,912,
492,260,075,015,178,268,025,459,379,146,656,496,529,257,812,062,577,936,421,
065,909,773,396,052,696,428,924,619,845,505,190,434,689,058,873,005,525,987,
441,597,470,380,813,727,607,741,375,259,575,817,413,805,940,427,685,252,560,
973,774,950,044,649,761,565,583,465,664,149,947,914,353,309,374,218,408,455,
215,491,848,214,426,631,721,491,319,017,988,163,574,870,329,712,148,887,076,
108,172,967,953,840,580,973,882,535,197,771,034,178,088,329,435,526,701,082,
922,840,735,448,849,116,004,256,018,970,046,174,352,431,142,627,176,898,591,
056,021,792,725,685,476,854,014,774,514,834,324,640,110,338,262,708,300,554,
564,412,170,499,249,255,101,522,748,143,202,838,789,141,610,506,993,411,547,
966,985,819,519,960,254,924,795,028,471,517,902,871,361,516,350,851,516,846,
771,226,762,901,010,296,636,597,600,007,427,626,431,661,318,602,223,670,048,
014,519,760,348,188,025,053,244,101,913,482,072,716,261,203,208,622,204,096,
844,071,467,116,506,617,033,891,753,017,014,592,819,830,603,242,176,118,881,
179,666,295,054,550,545,730,942,813,287,337,952,708,264,443,047,951,996,476,
328,813,548,672,742,088,505,323,065,530,044,442,346,095,014,943,577,948,359,
496,145,102,119,278,597,242,782,103,130,662,237,734,602,299,548,930,321,970,
133,424,542,095,784,710,171,150,700,987,127,193,039,410,410,386,200,844,377,
265,721,121,168,300,289,225,664,425,448,941,664,929,418,930,018,306,453,320,
455,569,493,042,669,209,429,345,579,879,484,543,548,301,049,157,999,883,489,
653,076,934,451,138,258,806,239,528,426,266,517,693,911,767,554,740,332,778,
720,941,985,808,520,741,030,262,295,965,628,586,795,274,568,508,601,440,393,
634,038,063,841,495,103,180,703,460,817,885,127,688,677,841,878,246,511,161,
397,777,222,732,590,459,274,912,580,998,520,083,936,868,095,841,088,670,547,
062,253,158,570,157,033,650,621,425,285,974,183,209,570,505,635,156,132,850,
731,785,776,223,665,646,770,985,034,056,826,155,168,354,498,631,336,782,773,
042,754,931,724,364,530,981,194,914,648,063,497,303,975,688,475,469,059,680,
034,913,305,841,518,020,834,871,029,199,177,208,345,692,410,348,056,239,204,
340,520,547,010,096,709,432,956,056,684,083,416,716,593,336,655,208,747,323,
947,209,044,881,894,012,538,674,620,074,395,278,137,895,637,439,503,378,827,
225,972,726,436,423,828,360,971,271,443,745,508,604,646,848,708,619,586,783,
599,483,169,941,469,106,491,554,023,093,916,335,049,882,536,962,606,269,751,
912,288,390,526,319,027,161,889,028,694,446,835,357,028,549,856,994,467,419,
767,029,554,201,458,423,390,764,361,587,830,569,162,352,357,608,639,342,516,
878,412,186,093,769,112,172,526,739,657,468,600,409,928,512,795,715,965,262,
224,575,304,124,141,450,860,852,282,571,974,212,298,026,343,429,709,864,560,
390,271,323,430,305,085,770,153,152,971,955,591,638,490,904,320,372,785,129,
788,691,718,206,918,714,168,482,087,251,367,339,744,251,039,782,551,729,718,
437,849,484,009,238,303,229,278,319,258,953,589,579,571,917,408,275,617,711,
787,925,280,551,622,997,698,903,932,787,091,488,531,304,513,797,999,889,981,
877,441,935,962,525,856,417,722,400,685,938,891,212,360,758,241,831,267,641,
162,907,534,552,129,625,976,615,833,320,315,455,735,617,691,976,984,590,686,
974,156,923,449,804,683,125,296,114,715,779,731,440,249,823,681,625,741,251,
648,943,222,319,167,702,129,802,813,843,269,106,486,414,938,969,926,386,729,
327,142,518,177,247,455,445,158,427,851,324,603,849,534,183,596,921,371,704,
614,456,683,156,372,897,485,870,502,058,847,055,384,106,370,968,638,314,742,
138,712,264,339,323,991,758,792,846,697,457,308,566,940,251,329,262,828,700,
796,156,735,274,189,107,627,607,814,585,677,559,880,737,009,227,197,112,117,
214,637,096,648,050,624,717,405,130,698,881,078,099,480,823,481,984,710,887,
609,634,247,654,887,530,584,040,871,552,988,335,784,592,283,498,931,324,681,
456,329,887,837,895,910,326,609,092,885,094,771,392,096,806,571,742,263,665,
477,644,891,459,277,623,870,714,879,605,732,018,428,754,767,881,641,701,224,
910,099,648,755,110,229,576,255,760,690,164,682,746,634,844,362,069,772,397,
984,014,636,859,464,388,529,188,794,136,556,131,728,301,356,012,611,998,508,
693,693,507,933,446,865,481,948,958,191,885,812,599,686,788,017,325,904,280,
955,184,119,962,283,845,575,498,708,886,901,785,722,644,643,739,696,034,699,
485,546,499,639,762,627,992,121,947,664,788,737,000,800,664,591,302,935,017,
432,888,395,428,738,791,443,171,359,295,994,861,812,920,247,621,552,051,931,
625,492,096,824,618,000,036,068,181,431,006,705,995,901,690,081,146,343,245,
221,562,933,088,114,773,944,277,393,415,723,277,142,694,973,220,457,756,292,
549,471,536,469,527,403,190,794,657,862,463,086,093,151,534,996,150,088,507,
993,662,605,033,467,365,086,368,414,848,642,641,481,435,245,852,795,491,301,
463,231,827,002,214,103,390,405,627,793,114,412,521,613,942,449,375,324,602,
484,322,877,887,735,599,824,974,962,911,133,173,542,118,141,955,627,993,447,
475,797,855,727,587,075,585,478,866,880,194,936,146,327,250,234,679,949,847,
607,296,713,835,210,889,127,600,727,641,236,623,449,335,358,415,888,761,601,
936,240,253,569,170,740,327,039,233,029,082,182,503,886,825,835,781,803,917,
293,259,074,386,690,164,185,756,358,066,683,182,492,262,394,609,720,353,109,
400,979,633,351,545,281,452,335,218,660,054,776,049,213,662,168,035,669,877,
726,399,775,117,748,253,101,165,320,891,810,569,552,365,139,246,423,080,174,
297,059,242,916,613,617,501,876,897,976,863,689,465,957,044,295,014,757,800,
618,029,796,366,328,555,191,142,719,561,833,571,389,164,544,299,277,380,649,
633,696,939,660,146,498,543,107,354,624,456,472,096,342,967,234,681,146,284,
751,531,463,552,762,612,353,849,994,141,278,472,798,237,259,635,134,654,236,
446,574,741,063,136,819,247,076,896,113,212,430,492,522,318,658,331,922,201,
053,263,504,519,659,628,830,718,663,883,250,274,703,138,025,552,338,417,929,
944,248,728,743,574,528,309,013,419,340,283,316,542,654,903,718,286,013,094,
280,728,412,828,433,698,687,262,850,641,907,897,167,620,741,770,597,621,717,
412,953,868,075,057,882,109,473,640,596,739,321,553,431,401,802,818,407,245,
712,049,376,178,368,448,624,968,328,328,720,171,728,428,091,758,622,223,174,
739,820,348,316,585,573,598,828,009,467,315,864,977,492,614,869,756,672,137,
849,127,268,364,533,952,088,343,032,255,249,530,343,812,580,264,548,026,596,
546,345,577,287,197,751,465,837,701,321,765,044,455,751,011,369,255,363,501,
666,654,791,701,606,258,951,445,283,167,171,898,282,432,610,946,612,556,005,
788,521,209,261,763,803,309,097,504,770,206,208,356,273,860,515,179,928,325,
020,901,812,707,028,685,794,180,468,625,839,277,990,538,587,301,376,633,505,
570,036,610,626,986,862,169,691,820,307,294,947,420,829,575,084,869,829,965,
201,714,933,721,226,108,360,058,506,209,234,357,601,570,192,758,680,000,141,
915,007,327,817,381,971,691,691,101,486,019,695,442,389,770,315,097,833,464,
880,318,616,088,633,965,556,291,492,238,520,520,618,884,020,284,502,592,966,
134,953,012,578,389,182,043,954,722,790,735,211,712,988,631,654,506,482,402,
598,730,652,653,495,201,181,844,487,984,398,144,537,419,447,458,967,114,404,
166,983,728,293,124,821,312,657,690,301,752,617,885,514,780,174,502,900,038,
314,174,047,850,295,888,656,706,823,663,507,980,148,562,698,740,041,271,763,
313,574,576,124,368,033,315,721,505,352,738,947,776,570,045,978,855,554,597,
792,243,147,974,938,953,048,838,908,059,084,945,048,616,013,855,444,895,278,
992,041,249,792,984,742,996,931,487,591,840,815,358,983,197,704,659,027,454,
518,006,251,186,304,961,257,090,959,104,909,725,753,493,331,236,010,712,873,
095,469,809,422,408,875,341,309,355,226,806,048,606,000,886,805,112,347,537,
443,424,323,873,779,528,868,791,318,821,644,059,403,377,164,248,446,099,008,
760,069,272,252,638,332,859,210,019,732,460,398,511,632,589,863,860,882,273,
724,768,625,172,891,402,784,917,612,242,535,885,225,478,247,989,095,810,607,
308,035,242,896,345,152,221,927,789,128,683,998,813,082,535,455,159,877,231,
630,862,640,689,770,668,038,379,665,480,583,910,017,361,094,345,724,670,238,
370,043,233,415,037,739,790,128,789,184,797,188,619,032,466,821,457,718,269,
055,379,142,656,898,259,683,472,433,296,111,447,848,904,908,070,819,114,949,
267,762,307,767,480,080,867,641,746,638,640,479,061,281,545,764,078,728,360,
947,315,801,713,180,164,457,348,332,945,352,224,343,122,643,199,817,229,927,
173,005,442,131,572,287,286,010,611,966,542,165,960,881,357,879,794,165,536,
554,934,528,588,488,898,604,565,273,148,831,977,897,513,893,600,185,253,264,
172,178,712,928,531,679,595,001,165,616,494,774,181,721,382,202,118,187,276,
524,947,159,730,335,011,864,709,771,131,335,481,166,490,247,273,930,424,100,
419,493,561,366,951,742,984,695,032,330,871,911,256,586,302,596,114,878,132,
983,133,021,054,263,533,273,561,685,798,135,638,344,405,770,089,675,904,190,
004,055,963,207,597,451,225,414,857,327,688,398,422,315,350,069,041,606,890,
797,152,696,665,501,930,107,594,340,541,464,739,025,307,679,790,697,574,246,
226,871,860,830,873,530,769,631,808,396,731,715,738,475,381,761,267,811,094,
833,627,839,367,518,616,792,772,830,969,721,552,947,833,303,316,927,092,954,
858,731,923,662,124,053,121,879,789,282,223,234,195,534,335,590,079,083,881,
347,960,550,248,532,444,132,523,532,903,540,576,634,695,058,025,868,015,455,
856,967,099,648,358,037,464,229,289,644,404,732,697,824,616,317,881,290,811,
865,920,571,186,230,011,379,487,511,738,463,366,140,066,264,836,650,003,648,
343,568,103,791,120,137,618,393,387,554,890,341,459,821,975,493,172,600,307,
350,526,594,367,657,873,896,419,325,481,877,853,459,741,915,055,238,098,368,
952,978,586,583,968,282,499,631,094,959,017,388,674,397,569,609,968,199,032,
126,806,374,601,155,933,539,782,167,338,333,983,396,192,372,198,529,928,665,
268,920,538,412,977,366,333,988,551,440,089,433,097,371,328,644,477,610,295,
219,347,093,256,489,444,820,534,556,968,653,281,624,889,077,904,041,674,269,
623,215,353,094,760,359,725,996,701,970,420,784,045,371,443,178,805,361,936,
105,147,948,283,990,014,304,261,826,144,734,077,406,962,200,024,698,155,501,
409,452,880,959,349,068,864,152,500,093,572,367,992,732,235,292,757,187,443,
871,353,412,974,754,129,645,813,903,697,920,608,021,805,813,035,830,243,133,
857,728,525,901,128,112,781,799,224,627,984,307,915,093,312,772,698,154,128,
534,033,458,435,461,142,968,763,464,421,701,531,919,802,152,325,977,884,325,
748,233,128,140,968,419,611,547,321,967,241,159,083,632,169,873,778,359,722,
445,912,640,411,687,096,841,602,971,515,581,338,496,357,708,552,455,062,372,
242,662,939,383,859,266,774,462,785,114,286,583,234,066,659,001,848,784,297,
417,062,114,874,483,344,618,286,548,971,456,358,867,365,453,660,619,333,179,
242,079,805,101,867,553,588,575,509,537,473,914,256,883,687,518,650,962,070,
894,451,189,041,791,880,303,951,896,666,004,316,926,905,189,568,886,906,603,
057,457,377,041,486,712,892,459,132,442,545,794,147,862,285,392,405,286,557,
305,906,304,403,269,658,438,226,236,224,877,730,012,169,098,875,689,394,235,
790,796,451,810,465,946,807,541,566,243,007,543,683,282,850,806,040,665,498,
113,590,465,380,650,754,741,052,232,746,454,824,772,198,644,258,946,142,101,
205,041,848,195,081,296,782,239,169,619,967,108,408,538,142,944,664,132,739,
395,421,962,527,757,621,497,078,769,905,939,181,129,124,479,831,085,568,407,
234,425,014,379,860,260,270,011,616,382,180,398,392,158,019,072,558,886,031,
670,295,219,820,324,154,829,901,192,536,775,024,542,504,751,567,414,277,334,
385,830,394,467,473,289,193,041,355,354,010,251,181,699,399,745,408,988,595,
275,093,748,890,251,779,682,285,432,522,999,084,696,559,893,076,107,123,352,
328,515,089,378,921,851,338,987,467,287,249,547,003,003,704,353,636,765,204,
872,026,173,478,041,047,560,397,992,072,224,828,865,078,850,816,612,071,022,
266,656,752,953,781,952,734,906,526,758,299,374,562,172,413,677,452,008,703,
553,794,374,656,939,603,163,027,836,374,129,209,617,651,376,138,557,357,679,
352,026,283,254,105,659,259,469,699,143,237,031,132,832,361,307,025,518,434,
224,822,161,327,539,799,738,605,008,400,796,280,435,485,964,224,689,798,562,
091,503,532,926,490,764,637,592,785,691,576,200,340,446,081,438,526,412,250,
532,542,266,470,766,625,885,004,816,477,758,493,719,164,027,645,853,410,468,
642,966,527,364,495,895,718,712,763,896,454,852,354,376,053,582,060,986,319,
917,306,410,462,547,849,616,417,906,696,368,596,665,837,329,545,255,988,089,
030,954,186,722,341,220,350,433,051,004,333,175,645,284,343,857,273,194,064,
316,587,203,613,237,823,898,860,095,240,257,257,968,061,760,306,812,124,722,
457,852,069,201,652,231,162,432,201,090,986,798,444,260,376,494,437,389,656,
547,828,202,306,920,790,187,221,160,377,568,115,185,700,300,499,776,167,657,
623,091,830,276,764,276,217,444,912,703,060,093,490,674,955,603,637,051,867,
069,209,667,782,101,495,856,864,199,297,504,038,041,901,531,410,006,689,716,
364,097,028,936,133,532,457,682,895,859,582,728,974,072,090,868,292,617,757,
985,156,193,087,891,896,848,662,780,431,402,754,288,230,703,527,160,205,186,
948,072,045,832,380,835,991,629,930,177,997,729,715,752,740,190,560,682,497,
413,565,104,699,607,473,366,790,473,585,232,023,804,491,253,538,228,326,624,
283,583,257,382,171,173,410,093,519,727,480,868,358,973,338,280,327,425,908,
950,821,518,339,093,885,898,246,160,409,730,960,917,199,913,772,909,365,018,
064,381,008,889,928,922,849,815,492,619,076,716,469,841,732,946,113,702,165,
066,419,835,729,603,110,870,836,511,377,499,071,238,842,390,898,228,108,798,
620,505,638,654,586,987,001,109,004,650,810,879,859,568,230,037,085,913,756,
786,519,669,725,573,826,329,660,344,625,542,245,728,098,028,725,592,581,428,
280,867,915,374,341,922,707,450,495,418,604,195,415,564,546,151,876,564,064,
972,738,515,789,532,104,985,311,430,884,932,574,662,741,604,270,245,621,727,
872,240,891,517,814,360,244,045,529,678,800,622,374,491,652,048,910,558,570,
626,867,991,019,672,054,582,382,475,577,205,063,898,038,050,770,883,389,541,
571,462,758,966,075,330,249,228,654,008,630,654,205,215,659,266,317,745,641,
366,951,781,800,759,253,062,585,302,440,106,110,785,220,708,910,736,324,298,
196,320,104,436,210,280,725,852,977,389,508,533,904,809,797,393,021,262,807,
310,264,229,013,905,522,919,049,857,049,720,022,180,730,527,009,028,820,030,
280,135,192,239,490,516,266,752,123,078,378,046,538,555,157,503,017,106,551,
968,406,446,777,284,628,747,254,512,608,544,332,920,808,398,790,041,609,750,
270,462,630,795,419,508,092,377,630,866,185,155,910,383,239,885,692,946,160,
230,439,681,668,374,170,064,375,126,361,209,388,716,221,960,800,382,392,726,
606,009,221,578,081,894,608,678,682,339,229,205,983,145,177,667,960,180,526,
086,952,134,098,211,250,333,237,801,932,436,362,796,859,858,215,384,691,505,
159,454,442,742,644,526,526,824,445,401,268,385,138,674,412,600,675,737,575,
768,156,882,984,474,405,983,787,004,924,344,345,268,270,901,067,679,845,356,
404,438,387,161,325,746,363,155,400,499,970,448,936,210,085,717,802,787,884,
198,997,643,613,466,489,813,796,143,799,777,745,653,424,051,158,132,174,287,
914,043,316,595,153,847,679,597,698,389,358,823,973,535,605,665,948,808,590,
918,044,687,821,411,647,295,788,963,415,684,551,432,112,272,519,939,283,806,
770,967,444,888,711,878,616,316,710,809,666,199,225,956,864,546,998,199,468,
351,899,405,389,671,759,979,394,085,571,736,249,761,059,821,257,610,480,114,
882,374,798,974,260,975,887,858,754,127,294,046,139,646,959,919,461,427,455,
599,514,049,571,832,322,386,975,621,407,684,569,118,630,906,004,391,163,201,
308,985,744,548,335,805,516,962,977,679,867,615,582,423,238,713,593,434,594,
728,973,218,167,847,688,184,372,899,129,319,126,876,015,046,220,825,555,676,
175,198,957,379,385,628,780,145,532,779,718,571,817,366,477,940,056,317,454,
956,507,691,005,449,506,325,247,820,779,962,265,586,924,041,975,359,378,223,
374,163,303,905,395,514,522,509,156,515,127,161,991,305,789,872,960,599,264,
139,153,422,364,404,201,552,290,696,534,801,829,365,799,395,824,774,004,027,
338,135,959,916,181,546,634,402,841,035,440,414,222,407,796,319,275,002,065,
783,721,499,119,392,154,476,501,966,811,955,049,066,890,775,308,474,945,629,
583,303,271,525,668,180,182,174,483,983,301,706,721,574,262,709,357,594,263,
904,198,604,641,176,715,020,637,089,445,999,302,618,537,465,791,750,185,651,
898,547,142,505,753,644,733,193,482,396,901,878,212,147,429,634,376,872,003,
534,563,320,564,959,429,493,083,326,888,604,985,313,110,643,901,120,739,456,
723,207,595,464,296,997,723,728,541,130,897,593,722,808,017,884,975,809,585,
296,770,280,134,162,053,677,297,625,073,293,572,683,729,347,315,253,985,901,
513,312,198,759,921,118,520,856,356,746,934,574,763,881,476,134,877,455,136,
056,727,114,253,807,768,718,143,802,287,355,844,040,546,344,028,600,698,365,
368,234,473,469,997,107,243,444,956,654,015,073,215,353,331,102,504,279,766,
293,598,944,239,214,906,849,780,505,452,852,628,344,296,134,485,513,909,677,
931,265,601,574,220,472,636,948,895,226,434,038,977,163,060,959,123,240,310,
704,572,858,400,624,800,551,731,388,864,617,511,077,585,891,305,026,010,142,
524,970,446,683,323,806,320,832,475,371,667,954,378,273,646,466,584,180,588,
897,785,760,061,639,376,774,619,714,514,222,910,906,959,403,674,492,561,951,
465,202,069,602,269,978,745,132,586,554,302,420,725,060,310,611,065,774,280,
027,305,509,732,875,765,285,452,770,494,235,712,214,169,405,150,389,962,699,
024,348,370,652,523,776,575,238,314,525,946,584,797,752,360,567,300,826,028,
708,822,177,626,018,217,966,912,594,961,966,053,225,090,360,579,969,810,378,
379,838,771,514,362,915,225,092,130,928,738,658,990,465,378,909,566,359,929,
040,248,970,522,470,048,626,171,386,322,871,541,939,980,348,962,376,708,826,
968,477,052,707,789,015,828,981,421,184,642,542,527,475,635,342,058,248,397,
790,638,267,451,729,888,936,477,174,534,139,332,269,777,447,041,975,536,396,
343,313,680,087,191,247,630,132,002,552,489,177,431,104,490,878,706,280,368,
561,010,894,643,854,944,058,039,417,825,877,769,986,781,059,952,778,241,561,
943,075,724,778,732,383,193,622,943,489,051,999,435,636,570,833,615,819,414,
175,424,845,690,209,678,101,137,061,472,003,819,870,815,187,233,365,496,222,
246,738,763,934,662,483,875,913,650,916,305,531,064,522,764,089,699,490,713,
708,749,303,677,709,355,108,202,019,583,407,829,022,054,363,455,558,916,956,
110,019,428,754,942,371,066,172,577,928,125,532,359,648,447,267,742,551,206,
098,830,609,770,817,879,554,161,146,478,208,943,029,691,051,728,340,992,695,
204,616,576,210,995,255,274,632,186,026,136,615,025,132,714,201,894,484,102,
982,188,866,959,168,530,075,113,069,938,279,142,145,613,051,989,512,682,281,
717,535,383,745,906,928,095,555,467,703,783,742,128,530,552,363,016,638,312,
525,571,869,408,953,703,851,171,523,481,867,879,215,828,434,753,770,172,132,
178,748,210,593,597,529,079,754,601,518,369,719,197,854,793,143,023,475,114,
621,221,101,560,439,125,394,456,669,778,354,597,505,967,935,509,464,981,373,
732,046,865,414,140,828,155,921,677,439,770,260,047,837,506,737,883,605,972,
304,844,084,474,783,932,751,646,754,188,208,808,718,593,414,473,607,735,739,
678,859,112,591,806,760,644,705,333,670,519,535,297,850,838,223,618,546,421,
308,276,333,375,203,378,865,010,369,074,208,518,519,960,286,794,260,368,555,
263,607,490,398,918,190,674,981,534,030,920,055,537,229,431,814,008,379,929,
826,033,665,599,826,425,703,672,368,656,554,426,134,696,959,168,245,095,975,
192,269,361,705,616,596,776,977,936,452,559,379,044,073,137,859,990,246,231,
460,877,296,406,175,955,546,669,698,793,136,907,545,852,961,696,068,056,020,
036,658,255,367,797,913,942,856,371,410,911,841,885,890,904,009,944,656,901,
731,960,305,260,339,050,613,192,007,401,230,864,726,491,929,965,655,292,961,
336,188,287,022,009,212,306,370,237,500,203,497,371,541,733,197,539,256,105,
312,500,995,060,868,626,523,065,960,399,712,785,696,191,151,746,774,554,702,
307,107,258,627,594,818,613,629,517,439,032,865,301,212,519,085,458,307,024,
375,526,252,509,908,525,176,870,968,422,123,036,464,778,434,754,587,284,314,
873,159,320,832,542,198,638,394,360,570,905,472,950,793,318,053,978,443,324,
113,179,432,579,013,973,073,361,420,647,800,340,039,300,366,490,899,403,192,
075,057,515,964,371,150,633,467,136,328,523,873,527,982,847,592,475,144,332,
493,918,135,064,042,036,250,314,310,233,281,178,490,294,469,855,843,141,084,
566,593,495,059,144,713,037,304,529,974,987,665,473,494,759,963,139,747,550,
750,587,246,648,887,650,396,295,414,842,608,960,498,046,310,806,920,291,804,
907,785,066,204,217,765,106,881,968,973,367,375,803,591,708,095,831,170,092,
168,271,844,251,329,480,664,212,157,363,624,032,131,460,069,015,358,892,684,
094,816,264,353,354,375,922,810,874,770,462,886,424,127,718,766,323,300,563,
926,993,023,215,950,971,845,412,923,417,754,525,756,184,190,099,383,976,518,
120,389,404,640,411,682,301,991,403,074,752,009,317,412,708,813,719,367,944,
368,757,362,475,437,886,875,553,130,336,344,907,773,633,503,174,217,636,646,
297,938,424,838,336,820,250,755,826,949,668,531,064,379,559,348,496,226,470,
796,345,483,069,147,521,481,757,094,476,497,359,807,475,185,364,012,959,216,
104,393,260,414,620,859,242,002,472,379,325,632,772,083,069,019,356,227,524,
461,188,178,526,087,091,958,040,233,627,067,694,148,371,940,888,974,557,044,
368,850,521,751,679,216,804,834,354,546,665,738,403,562,950,352,210,573,735,
270,725,837,134,911,144,183,215,790,707,416,605,316,271,977,364,018,023,909,
080,393,640,713,034,281,687,066,117,843,387,788,093,134,576,126,011,058,535,
247,970,638,625,035,500,774,479,158,302,116,622,970,795,002,169,075,877,261,
369,330,221,291,353,629,727,076,989,389,177,763,765,474,132,662,862,166,504,
887,466,467,213,080,545,568,603,183,553,812,450,958,674,060,640,781,194,380,
965,962,980,051,875,177,642,888,482,640,183,518,612,540,660,770,440,832,801,
394,298,046,563,224,878,155,375,211,262,948,607,536,246,364,686,845,777,808,
454,519,212,646,124,038,640,914,369,952,456,998,628,654,385,636,607,780,401,
832,748,676,476,147,431,674,226,108,281,411,920,146,862,444,663,547,070,847,
803,283,895,820,201,839,419,561,525,195,459,209,040,827,113,160,250,551,691,
271,058,078,802,186,683,014,035,359,023,698,439,591,338,486,367,065,808,772,
515,589,256,350,105,469,596,663,494,913,355,160,935,680,251,176,714,376,525,
478,034,650,482,653,426,074,868,946,269,339,444,368,952,352,428,430,426,424,
538,847,794,592,003,696,453,373,994,988,500,408,377,159,002,733,442,793,488,
106,021,300,199,645,018,408,705,088,465,385,008,881,674,331,563,147,422,320,
226,217,376,024,852,266,577,138,281,128,383,386,229,609,198,735,586,780,459,
332,794,013,933,447,225,033,825,163,870,766,632,196,234,982,312,372,389,931,
267,953,073,376,771,262,687,702,568,540,096,599,304,166,117,296,213,015,252,
087,201,464,895,382,806,031,220,101,656,491,731,340,521,449,604,263,713,131,
706,322,984,973,408,871,733,668,961,340,196,565,950,128,165,715,346,108,498,
084,736,331,359,203,567,324,764,555,994,933,049,116,955,829,782,970,213,012,
356,190,350,296,791,800,675,230,540,032,740,586,789,056,779,597,222,785,873,
378,255,074,472,526,515,012,110,754,231,654,680,711,528,465,475,042,529,482,
111,487,210,767,608,220,446,100,058,621,046,834,712,391,366,651,038,471,888,
578,503,789,274,300,999,855,112,729,545,827,859,879,336,068,345,062,322,674,
244,088,091,685,342,404,262,737,544,673,146,797,062,290,498,543,330,402,833,
201,526,221,746,087,974,738,051,112,327,834,696,209,132,915,244,833,152,282,
538,202,889,537,871,476,608,994,714,597,031,504,382,122,147,756,778,397,081,
494,047,332,780,314,862,925,582,948,881,957,957,624,194,760,731,830,958,437,
188,873,490,679,765,230,553,862,752,217,711,441,065,021,872,037,485,593,092,
759,386,967,992,196,093,196,775,403,762,760,656,635,297,688,821,004,813,984,
384,955,576,577,264,891,525,774,717,807,743,796,420,612,647,205,628,974,168,
557,771,457,966,733,431,179,107,481,626,149,871,498,412,029,484,784,292,847,
445,283,073,145,979,659,503,125,903,099,334,533,042,697,400,237,303,432,229,
435,116,385,852,179,832,272,633,930,223,036,745,023,057,995,327,589,880,976,
717,426,617,952,307,080,091,685,972,396,872,386,229,802,681,077,198,951,229,
033,821,685,980,600,790,246,230,831,714,398,400,715,433,896,400,315,725,487,
157,234,976,557,889,358,021,931,310,829,702,456,890,943,547,488,936,746,253,
941,264,903,294,206,659,919,372,550,334,017,510,078,178,229,531,928,330,600,
139,324,877,555,908,838,101,998,239,019,583,928,635,625,484,153,926,746,426,
721,699,039,426,270,197,069,582,295,694,445,985,867,250,301,261,370,553,694,
968,328,714,382,311,662,171,233,248,397,499,987,869,402,861,219,055,090,080,
914,374,500,913,600,341,598,387,212,117,471,767,520,981,966,232,106,323,918,
173,434,009,576,849,266,583,886,279,831,354,998,991,304,957,123,632,891,351,
096,117,398,962,720,466,020,796,926,300,487,103,770,441,779,262,433,682,309,
639,204,623,288,139,779,769,862,795,025,199,235,627,771,226,757,179,313,896,
640,528,970,247,614,784,393,338,785,252,711,625,197,588,533,256,414,094,132,
430,150,203,528,192,618,409,086,310,442,588,197,279,854,107,133,989,003,101,
840,010,045,243,725,674,251,028,513,409,462,960,723,477,270,570,776,323,660,
101,229,614,298,646,839,017,803,739,083,345,460,804,752,829,226,836,355,702,
917,541,716,288,952,883,537,726,083,833,547,644,189,360,604,249,550,478,095,
693,884,317,128,266,386,789,861,111,996,315,006,509,872,137,263,243,770,127,
999,200,696,805,123,203,588,462,381,219,758,166,176,162,416,709,570,995,798,
391,241,519,755,736,822,448,703,987,465,946,704,365,526,587,635,598,805,441,
495,507,467,824,613,580,056,297,084,093,848,055,396,675,030,191,499,851,611,
073,877,610,032,883,348,338,272,971,858,969,145,363,833,133,245,842,730,419,
049,042,887,218,589,557,967,052,264,960,974,669,713,973,598,833,894,315,012,
038,561,318,586,879,494,111,310,755,962,528,986,850,264,865,976,862,152,610,
438,667,675,699,488,733,621,441,280,906,987,522,234,509,960,758,104,318,837,
882,397,692,578,517,729,669,302,759,985,745,004,369,033,462,663,429,736,940,
634,214,723,657,248,098,737,425,208,703,963,348,798,091,827,604,717,456,443,
861,223,015,465,081,000,993,054,061,718,400,100,776,643,956,409,682,021,453,
513,053,646,898,459,946,019,156,851,578,920,817,641,503,537,638,439,459,739,
675,937,679,350,473,238,885,620,691,094,337,845,640,123,873,736,121,308,785,
437,514,011,641,725,812,982,935,096,867,963,510,048,688,548,418,851,380,867,
644,107,744,454,839,109,988,640,413,907,576,201,329,188,351,267,833,850,438,
526,247,655,730,885,906,829,656,239,027,943,015,938,761,457,776,073,053,556,
003,776,577,291,762,494,832,241,454,880,698,170,762,374,076,696,891,046,620,
362,417,277,927,013,264,642,860,559,963,081,554,768,210,838,433,825,664,937,
953,747,223,828,625,560,016,152,871,974,907,787,184,174,485,556,998,872,179,
691,238,590,247,742,253,522,868,249,613,572,087,637,206,523,130,556,656,423,
858,839,543,310,752,566,504,163,724,102,076,876,758,644,395,380,589,408,935,
318,966,925,383,988,431,691,658,835,996,663,777,430,722,284,673,324,872,011,
698,959,413,874,527,818,078,449,707,609,695,696,176,441,013,709,947,784,489,
007,889,197,518,688,329,317,917,005,181,146,509,489,634,153,242,661,339,016,
860,327,517,196,393,097,182,161,085,010,964,263,488,653,783,764,997,307,517,
639,125,396,921,644,440,476,388,620,582,627,583,156,966,089,486,945,777,546,
437,526,468,059,929,731,554,524,524,960,817,171,379,720,901,596,721,330,450,
051,885,785,070,664,599,694,690,625,972,711,482,396,439,000,635,182,258,046,
360,267,227,547,264,711,540,025,682,264,234,927,262,021,957,071,876,173,563,
862,074,837,696,635,448,625,764,926,341,681,756,331,508,787,472,380,604,761,
186,716,257,026,975,377,048,094,921,862,748,675,074,660,935,493,233,116,610,
440,485,465,858,148,374,895,333,867,294,666,723,361,144,883,446,174,836,155,
785,615,879,232,419,641,548,315,758,534,873,704,320,058,178,783,742,029,959,
012,324,949,400,190,912,072,111,055,055,628,211,762,916,460,036,282,074,392,
992,995,755,633,734,399,254,894,670,301,893,669,069,916,957,284,636,142,816,
385,951,956,648,959,385,872,579,176,881,567,792,841,149,855,595,029,321,923,
523,108,481,890,719,438,068,417,448,533,977,126,622,803,621,164,389,282,777,
255,999,103,427,375,775,440,241,558,711,194,259,962,141,780,910,833,830,398,
086,134,924,343,627,386,175,642,314,913,757,520,055,932,453,890,377,000,191,
964,289,018,652,394,422,865,912,865,062,008,835,571,579,914,379,797,576,347,
827,812,304,124,118,908,698,948,091,585,119,404,741,322,965,633,981,622,887,
244,779,703,214,289,837,132,905,425,555,960,209,696,216,859,715,385,215,753,
257,909,265,194,978,031,020,055,035,978,850,637,238,018,856,374,330,496,990,
681,883,841,346,034,376,923,427,327,315,489,222,081,739,055,168,571,984,251,
750,838,094,892,038,244,839,697,325,371,428,700,048,174,832,401,728,174,400,
558,191,926,779,759,784,712,073,399,989,504,518,841,472,824,648,783,119,420,
679,168,547,502,149,528,028,895,529,024,255,608,927,880,480,417,962,350,409,
034,573,406,868,631,075,483,097,215,388,513,152,725,490,582,132,484,992,139,
099,981,469,380,193,447,859,476,368,696,621,139,639,096,173,255,793,635,708,
522,699,229,192,178,364,110,627,139,353,887,679,657,206,456,313,499,589,619,
440,532,587,294,902,021,634,728,565,988,254,852,419,952,709,925,464,454,718,
820,015,852,323,001,135,272,123,174,955,035,963,882,237,054,320,382,948,447,
138,411,793,430,137,540,420,303,966,730,535,315,947,992,017,346,424,466,613,
555,689,049,953,494,657,308,205,565,693,408,022,227,376,953,043,046,232,968,
498,491,797,420,927,877,661,140,190,788,003,396,768,648,886,900,922,010,885,
225,276,767,326,576,549,973,987,351,148,825,095,273,719,804,418,051,517,074,
381,670,058,321,789,654,336,684,183,732,845,184,537,279,973,967,493,868,284,
093,268,362,581,241,475,368,506,405,682,661,024,685,239,381,419,296,674,933,
235,127,733,881,711,903,265,908,135,879,384,384,427,123,184,639,226,274,819,
081,607,839,990,841,108,950,417,946,752,131,861,879,900,075,115,798,930,282,
227,467,641,715,236,448,847,320,410,773,833,908,514,029,965,925,382,841,028,
345,271,126,803,158,083,290,277,512,576,202,725,886,210,166,507,236,601,697,
313,142,689,363,464,664,812,273,196,730,814,151,444,855,007,210,511,811,265,
089,142,688,655,667,261,725,413,651,200,692,569,011,109,538,297,096,944,898,
118,724,397,953,207,811,283,495,479,865,563,789,551,563,117,890,099,367,277,
565,343,848,681,196,239,884,978,807,828,337,197,350,409,016,224,565,176,936,
261,924,526,483,133,149,312,698,607,311,621,086,690,822,298,125,906,117,243,
629,144,040,613,857,583,157,397,924,249,312,310,966,722,135,046,447,491,783,
061,906,330,116,606,936,614,187,529,973,530,717,736,165,260,701,109,227,121,
871,470,666,780,701,574,095,332,348,731,079,051,922,230,983,257,811,430,551,
989,183,920,336,883,683,179,963,801,970,278,515,816,794,140,935,295,887,598,
045,322,143,819,879,233,828,498,008,053,618,893,069,571,293,776,187,708,049,
020,589,915,992,404,724,072,567,625,184,529,632,128,061,278,461,093,082,515,
492,888,051,103,425,213,080,089,349,507,005,605,734,787,795,830,853,603,894,
003,207,993,860,368,067,592,428,457,359,676,200,628,191,745,828,643,722,474,
907,859,374,426,219,642,197,621,996,532,170,457,334,717,656,378,189,239,084,
174,283,636,812,915,129,180,810,087,732,515,314,359,801,003,777,514,313,459,
005,303,112,352,537,893,908,303,198,934,114,721,289,100,103,618,852,904,716,
226,096,497,293,046,508,933,362,438,701,594,997,429,678,615,515,890,063,379,
545,721,411,957,682,212,975,131,763,466,898,913,536,919,427,680,234,620,537,
079,529,263,913,897,692,201,335,344,111,748,586,520,116,274,497,385,896,965,
685,924,808,776,197,766,183,572,310,087,190,984,468,106,909,282,232,362,571,
600,398,599,873,552,572,668,436,924,274,665,120,967,767,513,272,917,887,840,
381,926,450,500,136,281,943,971,990,430,253,796,592,373,298,067,028,334,980,
949,876,557,541,593,982,720,689,245,455,987,927,326,431,117,779,081,080,666,
623,917,154,529,393,042,385,742,182,147,722,147,978,185,505,326,611,725,209,
785,907,940,364,561,545,393,417,819,339,243,883,288,120,229,503,264,228,409,
126,938,104,270,053,727,022,959,307,872,052,581,449,796,284,183,774,162,431,
593,790,761,130,139,703,978,721,713,122,215,075,342,619,493,575,037,775,534,
106,471,120,774,864,546,604,402,775,559,604,062,442,525,589,481,217,767,809,
451,850,961,232,061,550,497,435,258,735,504,499,537,147,516,596,222,250,113,
512,244,744,492,390,379,989,003,265,954,110,640,099,766,760,112,694,765,049,
067,472,741,253,177,809,503,687,832,455,560,782,121,553,379,355,055,637,841,
340,254,843,850,489,315,473,477,059,187,844,756,904,379,369,995,802,531,387,
709,588,150,827,296,968,448,084,787,882,048,526,134,915,048,273,463,712,951,
875,164,303,312,024,174,609,765,578,614,528,358,902,674,940,670,619,927,734,
264,806,597,569,221,259,221,184,197,590,420,978,689,368,894,563,122,793,427,
085,176,248,729,238,621,355,157,912,450,235,065,888,413,771,851,458,096,119,
973,212,054,263,568,868,368,644,035,001,457,194,350,061,803,356,779,961,856,
741,794,560,752,131,344,672,045,735,091,175,790,437,516,710,503,280,394,608,
162,615,592,717,093,971,006,073,296,296,126,110,735,246,376,102,505,408,841,
040,138,397,255,183,466,572,656,632,659,206,294,535,918,818,749,346,154,056,
502,920,822,715,480,375,427,963,856,834,545,640,867,016,994,744,820,189,683,
045,542,124,774,155,072,791,184,534,545,336,935,739,592,108,634,817,908,448,
797,994,273,253,527,028,170,659,324,972,674,588,400,488,027,957,596,318,434,
840,528,405,692,844,444,433,936,734,914,673,901,890,318,798,914,800,594,784,
694,655,979,696,538,187,389,317,372,355,312,516,958,536,280,993,573,602,021,
446,191,983,301,432,545,197,502,531,675,773,144,349,878,192,121,621,975,931,
451,203,692,171,703,034,301,779,031,500,529,216,260,737,866,624,736,443,338,
087,664,015,842,033,352,695,535,978,650,279,840,435,464,878,865,536,888,332,
852,121,485,059,168,424,081,915,121,547,900,258,502,468,375,777,960,489,887,
841,365,979,538,411,370,508,207,231,355,765,375,551,068,268,045,865,803,623,
408,417,072,423,044,027,399,430,846,565,395,338,286,826,348,979,208,026,759,
352,628,971,498,314,539,271,259,882,175,953,421,129,137,553,877,145,838,201,
574,270,745,869,725,032,357,810,301,914,235,390,566,318,346,801,248,127,536,
719,198,099,253,251,748,721,791,547,409,244,938,967,533,234,023,572,265,961,
939,147,620,331,110,223,397,321,081,148,234,743,582,192,976,223,046,312,184,
183,545,024,816,901,521,062,520,303,425,871,818,765,088,266,312,198,462,765,
783,946,184,585,209,996,756,675,057,753,990,985,408,382,551,873,196,569,417,
833,776,091,362,832,268,952,242,504,206,589,870,532,978,844,113,617,533,162,
410,259,059,183,934,889,906,572,719,688,251,788,329,571,042,561,334,492,653,
100,089,195,928,162,643,242,323,374,515,193,681,797,670,011,790,610,966,864,
145,258,719,183,461,254,433,055,005,807,212,957,157,529,041,090,362,079,461,
133,123,231,255,877,828,348,622,114,864,087,389,724,769,430,712,544,484,591,
143,255,400,539,392,416,489,185,539,822,384,745,125,407,221,238,096,065,549,
718,769,375,252,249,621,746,215,090,699,150,809,262,633,193,942,577,306,686,
656,150,275,190,056,542,588,628,241,883,569,254,552,301,476,528,279,570,934,
750,358,266,675,542,232,335,801,089,460,804,453,387,095,193,304,113,887,267,
586,164,009,841,656,149,077,896,057,856,942,471,107,845,190,079,591,845,180,
829,879,674,609,504,324,204,445,227,203,136,712,375,038,443,991,817,222,678,
290,162,983,033,784,753,244,568,646,375,548,618,464,230,680,232,305,992,667,
095,767,445,933,872,869,639,952,332,660,871,966,883,964,675,769,185,053,125,
261,658,442,466,965,820,226,592,270,961,057,762,978,234,928,551,302,819,517,
269,718,520,387,145,108,239,110,205,805,971,615,705,402,883,576,651,682,536,
450,961,639,555,395,347,820,270,846,974,133,448,331,792,714,753,903,383,870,
886,642,166,639,200,027,373,647,643,312,753,603,619,827,343,571,792,491,378,
173,837,256,065,776,178,732,637,072,640,130,611,012,996,338,499,679,744,333,
805,407,278,487,493,472,329,175,521,367,007,610,900,747,373,254,875,992,844,
209,197,854,273,643,107,885,298,826,047,332,148,779,726,203,121,086,969,888,
929,199,686,685,415,456,239,031,173,701,690,939,038,092,930,400,065,127,743,
779,621,541,710,700,671,049,616,368,429,809,348,250,909,095,121,329,837,732,
033,936,056,272,657,275,551,052,422,304,089,577,888,745,666,908,777,820,283,
927,944,358,663,243,640,311,025,002,051,354,296,049,304,916,395,013,592,581,
209,881,376,346,037,768,048,087,524,411,556,616,944,858,480,828,188,475,854,
289,331,603,562,492,794,123,102,688,240,039,272,912,420,469,333,427,324,067,
817,964,452,914,627,433,551,997,504,654,771,864,546,857,799,788,993,370,847,
825,328,486,702,104,986,910,878,542,840,138,495,211,296,794,889,441,750,564,
795,551,517,721,876,737,572,166,845,946,443,337,976,488,655,880,856,236,158,
201,095,758,986,994,990,126,597,369,774,551,635,377,392,002,736,754,018,485,
814,928,188,044,401,114,335,655,394,404,089,780,212,283,155,927,348,136,051,
262,406,536,230,931,544,916,177,785,332,337,613,633,853,235,868,284,694,905,
291,754,416,069,278,584,001,000,685,770,674,879,329,255,276,839,657,641,083,
138,154,146,231,464,854,856,379,053,000,440,636,354,539,970,622,062,979,871,
582,684,391,369,286,500,994,947,750,591,229,207,018,548,644,508,766,307,564,
655,044,022,583,510,094,080,018,528,518,364,994,933,061,422,468,640,440,066,
692,586,758,417,953,810,476,736,354,322,730,566,447,523,693,574,001,109,025,
145,846,454,327,125,206,860,238,391,271,433,735,939,208,001,276,027,806,591,
341,342,854,666,186,293,492,117,620,278,684,230,386,599,700,805,351,025,319,
815,235,946,084,278,786,056,242,964,745,968,176,594,969,575,183,250,259,207,
478,823,311,697,006,769,515,187,211,924,534,357,797,732,858,178,745,518,416,
506,320,485,840,274,346,941,560,322,103,626,995,242,171,700,167,487,533,828,
829,784,858,075,462,892,107,905,083,479,087,914,022,826,016,193,807,353,108,
527,927,163,256,403,405,488,673,274,241,847,491,545,918,601,677,282,173,607,
446,938,879,211,049,468,939,323,420,710,709,380,530,542,746,418,658,408,968,
792,384,066,899,558,233,555,149,077,227,662,082,848,064,516,600,009,904,442,
495,789,924,360,589,752,633,402,511,433,338,834,408,280,095,315,725,422,777,
338,788,088,119,705,748,518,151,685,980,235,362,269,269,854,153,510,741,348,
898,143,890,395,939,325,426,902,824,662,403,541,645,677,320,136,771,393,856,
447,859,596,206,206,978,883,239,914,569,561,015,489,286,690,758,197,046,096,
392,452,131,097,220,998,205,269,086,622,695,948,046,390,990,210,829,786,707,
697,235,486,438,956,869,739,733,415,770,179,480,088,322,304,607,044,987,108,
114,408,875,934,855,686,134,916,468,769,318,116,816,925,820,221,810,040,522,
807,118,816,824,636,422,882,922,296,585,947,993,760,909,341,262,768,191,464,
400,226,230,033,526,841,768,118,349,265,619,275,136,027,869,143,052,183,192,
683,356,318,261,891,419,502,070,020,970,093,868,872,642,761,002,950,196,753,
219,506,242,654,116,448,522,410,729,197,080,138,300,563,023,501,097,869,096,
187,429,769,719,338,568,326,092,520,086,333,984,935,263,061,658,901,760,829,
275,015,304,058,095,808,366,785,791,765,718,018,216,995,695,245,726,643,022,
965,779,042,097,941,836,958,309,847,919,502,218,168,808,801,276,696,797,234,
570,598,354,357,098,940,995,098,571,505,299,388,933,958,795,696,082,257,648,
485,139,357,351,411,846,894,826,739,690,968,571,496,017,489,256,863,160,513,
222,855,797,587,059,286,973,461,175,750,010,177,379,178,479,278,977,677,069,
094,159,975,021,819,441,933,495,493,686,672,927,825,060,541,629,166,120,109,
452,162,136,395,352,037,805,139,790,886,873,285,393,179,955,037,829,156,272,
542,477,958,484,111,319,943,049,778,728,226,641,721,813,089,655,187,018,474,
764,311,107,153,616,297,119,667,025,028,465,541,787,806,514,979,686,581,170,
303,791,168,241,723,920,574,954,312,001,912,848,251,882,368,665,131,952,416,
773,242,588,771,559,273,648,989,533,107,173,553,770,462,551,199,054,128,727,
779,661,426,679,243,992,854,062,619,302,570,752,008,498,347,428,465,107,340,
723,778,394,212,297,215,325,139,171,464,799,980,252,014,439,706,270,394,865,
666,842,273,741,824,057,899,245,814,935,370,099,212,371,453,024,040,064,436,
750,231,263,156,416,848,091,083,556,847,357,147,973,373,163,941,354,324,414,
670,932,432,264,009,041,120,223,362,809,803,630,453,426,785,146,015,207,480,
416,487,294,939,262,166,545,516,900,006,314,803,858,312,556,056,106,653,457,
233,322,356,872,789,288,761,066,132,938,263,147,265,827,817,014,771,921,682,
822,733,453,082,331,574,448,855,785,631,502,404,483,226,539,421,626,523,538,
241,823,248,343,013,371,947,820,812,379,951,195,067,567,591,589,116,448,220,
254,913,192,218,943,521,287,320,494,820,984,859,061,472,225,171,801,694,721,
739,373,931,602,337,735,715,645,900,776,900,844,219,683,424,376,046,704,840,
942,308,056,740,609,783,437,293,323,900,326,133,238,100,164,765,592,110,935,
283,630,548,759,059,465,063,845,072,344,721,553,437,836,451,595,805,562,077,
590,858,886,218,485,783,408,242,315,453,142,166,697,612,867,980,226,305,602,
552,645,434,964,209,837,222,997,649,386,645,170,510,577,525,532,172,497,720,
887,119,772,238,122,775,562,399,633,761,748,407,012,821,281,576,664,943,311,
570,528,385,941,841,470,642,901,977,868,258,706,160,919,848,765,391,117,021,
754,936,118,999,771,739,405,423,199,512,997,080,402,827,850,581,382,805,296,
829,794,798,075,147,617,204,946,949,317,204,806,794,279,019,141,153,968,087,
216,752,706,151,530,090,593,564,103,585,758,394,224,796,336,998,227,162,259,
259,818,445,104,196,345,539,298,223,564,339,867,591,813,223,599,629,027,554,
060,431,175,576,101,510,669,651,293,244,068,834,003,403,268,184,950,668,365,
354,707,982,355,179,625,122,813,887,108,740,874,942,698,998,623,410,790,976,
137,396,245,887,482,890,852,830,000,729,464,560,830,239,018,767,306,808,941,
008,263,205,784,181,825,698,104,817,504,806,569,480,118,684,684,813,474,439,
394,124,244,380,781,960,113,811,702,143,478,626,921,816,497,030,310,365,563,
737,490,108,820,301,004,859,055,694,442,636,112,460,809,150,211,260,232,708,
716,781,700,914,263,909,887,874,961,178,130,742,922,853,257,860,406,934,121,
482,314,158,901,632,186,556,258,472,957,652,363,697,065,443,530,245,063,467,
432,733,255,046,632,705,361,854,233,703,545,656,542,335,749,561,927,162,111,
210,827,961,284,891,343,700,230,736,631,639,345,392,339,458,029,004,530,730,
296,821,885,359,548,353,945,976,565,111,472,070,289,691,947,347,820,561,263,
716,525,960,621,451,309,345,842,268,648,900,016,205,490,517,802,548,548,489,
492,528,048,630,182,840,660,039,604,143,558,039,188,657,973,004,228,830,275,
529,911,679,779,026,930,387,963,623,035,535,983,675,560,419,250,219,877,168,
154,903,199,132,803,740,130,323,422,987,845,376,370,195,210,656,398,410,513,
487,817,545,661,029,273,514,943,447,966,140,863,012,694,316,887,885,895,360,
216,557,580,290,305,642,991,596,807,454,823,959,774,450,166,145,139,619,849,
081,955,824,046,751,194,656,478,555,839,371,342,423,072,125,111,397,394,384,
471,794,364,520,210,352,147,164,992,536,428,720,248,940,907,460,971,049,259,
946,884,063,540,433,093,424,571,442,607,000,960,339,144,676,228,018,885,893,
686,430,996,609,281,683,960,883,198,787,201,223,304,608,281,444,009,377,493,
080,909,242,734,952,294,075,241,191,965,150,268,921,654,344,514,772,692,938,
565,585,247,747,578,404,623,678,090,003,946,583,399,502,718,491,225,480,649,
660,051,403,142,934,901,173,944,742,910,714,725,940,657,534,812,410,646,477,
252,654,662,170,114,068,199,318,285,185,516,257,547,056,478,855,822,267,188,
234,433,763,750,039,260,482,007,520,305,652,638,440,656,805,106,933,416,139,
127,581,003,474,353,818,821,403,079,650,560,605,670,233,132,488,560,581,171,
289,303,538,146,626,826,257,978,887,734,059,710,114,585,455,370,198,632,058,
228,824,759,663,091,652,859,379,633,204,721,712,308,253,437,298,946,530,048,
983,488,854,768,315,270,816,625,468,749,739,860,554,681,483,985,093,761,822,
874,839,313,339,935,987,853,131,047,728,414,983,439,491,236,936,136,993,803,
811,193,816,264,144,639,887,772,778,345,846,683,344,318,723,371,017,366,005,
567,937,503,545,645,022,992,288,178,395,659,330,482,379,543,844,878,505,892,
051,255,981,804,785,690,307,519,744,503,858,173,692,937,249,872,170,226,893,
705,360,227,894,887,832,090,974,221,986,932,487,030,143,554,156,526,499,353,
826,065,037,475,406,349,090,043,339,421,652,988,535,934,929,478,629,084,806,
946,352,841,562,669,409,414,533,439,677,659,921,628,054,314,956,203,137,308,
829,609,829,088,191,033,733,947,004,747,679,466,103,656,676,893,849,837,187,
060,849,351,294,317,707,856,870,641,069,517,703,226,624,217,617,941,354,149,
416,318,412,865,771,199,468,138,792,146,867,209,492,091,669,968,442,799,195,
377,984,455,767,080,794,404,551,771,650,644,507,953,048,632,990,545,276,139,
258,102,487,785,714,959,561,058,672,917,086,753,602,193,235,891,144,095,211,
879,041,866,000,300,804,684,142,554,908,241,042,253,846,152,294,751,959,098,
018,259,661,888,665,626,202,065,699,686,617,843,107,232,370,267,674,853,071,
867,165,250,634,540,007,828,173,926,847,459,341,281,694,240,343,433,396,239,
921,059,825,487,269,762,640,584,834,701,931,129,508,127,707,719,793,744,476,
336,159,830,272,247,201,612,549,449,449,560,636,389,015,598,483,073,754,369,
314,354,503,484,330,805,247,546,430,505,082,861,302,920,082,965,335,404,548,
229,776,145,477,616,158,813,710,456,875,769,700,836,400,682,103,107,004,620,
048,193,096,529,474,113,957,067,039,622,783,819,992,927,140,605,351,359,420,
347,289,281,843,596,761,102,064,228,327,993,327,447,773,699,626,126,595,311,
661,868,422,320,095,663,224,553,550,630,061,867,924,379,127,351,225,875,573,
606,084,243,732,590,789,341,303,085,140,960,026,721,084,398,260,683,766,944,
882,875,180,868,936,636,463,212,879,946,455,122,532,383,389,272,892,201,592,
934,846,441,631,645,066,403,404,572,703,315,262,784,985,534,798,787,585,881,
280,262,516,524,990,088,760,050,099,349,980,424,479,149,497,534,935,941,868,
679,577,097,596,729,816,838,726,705,470,178,491,606,716,964,754,004,800,965,
957,444,840,323,950,920,334,967,633,963,206,878,336,096,820,659,151,214,090,
012,265,385,970,842,246,619,657,824,222,135,707,110,082,994,650,388,925,537,
829,301,613,576,153,260,903,873,828,251,027,084,056,540,674,028,334,866,043,
012,824,979,807,613,640,150,701,625,456,898,889,357,948,742,386,950,271,528,
886,694,389,090,682,394,988,361,860,311,883,022,429,149,709,414,480,485,225,
530,693,726,811,125,529,421,160,481,509,198,976,466,667,154,395,180,383,303,
850,859,516,993,850,706,118,484,844,944,246,997,340,429,914,266,538,990,399,
323,641,815,706,120,081,773,773,150,710,856,718,537,274,069,031,756,435,843,
285,552,426,320,166,760,291,475,153,955,086,387,570,338,245,184,879,296,039,
031,763,212,830,039,459,650,301,513,305,429,302,405,589,201,327,720,486,417,
043,171,210,755,646,610,507,388,522,629,661,208,202,387,487,810,232,719,842,
479,622,378,690,270,446,823,538,626,076,460,420,953,793,322,615,429,158,444,
716,588,285,900,964,969,806,575,630,823,544,776,207,796,640,804,728,604,504,
236,777,820,529,072,391,409,670,075,275,467,733,174,473,792,578,069,169,780,
456,569,058,151,466,616,943,566,378,942,287,780,824,185,208,187,651,490,449,
403,028,720,679,579,559,960,703,427,600,399,968,999,783,144,416,914,078,921,
118,883,206,242,418,578,314,333,492,709,970,687,326,044,337,628,573,393,788,
789,432,885,753,731,950,492,547,379,340,602,343,853,382,067,258,681,021,999,
836,826,221,302,553,582,379,042,722,719,817,842,994,657,302,535,015,060,266,
306,162,537,060,320,509,275,866,312,621,167,190,535,419,744,396,241,570,708,
239,578,497,092,433,267,799,455,235,207,078,929,168,955,283,411,962,880,206,
818,602,991,777,227,064,329,954,838,434,307,039,158,548,242,647,949,868,940,
676,492,909,689,629,750,070,739,668,274,684,607,158,439,236,175,164,182,670,
921,787,007,406,020,516,882,538,962,069,599,654,435,220,982,331,583,441,846,
016,304,370,151,247,672,330,394,893,335,277,331,518,914,702,392,698,308,231,
590,422,286,248,844,013,896,159,858,973,842,552,385,343,198,790,085,505,104,
559,163,304,262,194,703,566,617,221,229,701,744,465,683,799,670,362,659,890,
021,678,154,281,723,521,983,521,557,640,253,651,860,264,546,649,819,748,064,
373,509,633,402,035,264,642,087,760,685,311,735,597,874,518,760,981,662,184,
077,215,988,225,138,218,086,441,832,956,154,043,017,277,547,980,356,932,030,
286,167,225,205,699,484,319,750,240,941,755,631,888,536,912,313,114,498,308,
849,437,311,607,360,424,041,981,421,309,114,721,313,398,412,596,606,465,119,
410,544,337,232,039,915,513,738,068,576,083,359,732,635,400,800,629,823,836,
911,545,720,306,354,686,441,477,329,705,837,475,027,362,449,119,203,304,282,
435,479,060,341,239,535,224,554,919,600,789,267,011,174,163,859,139,177,532,
437,338,169,687,068,457,787,411,207,137,718,007,818,700,617,322,978,504,902,
141,388,672,006,442,399,042,382,009,202,926,679,966,166,493,647,386,773,825,
783,879,171,826,832,502,917,765,148,154,609,897,080,897,283,698,017,481,697,
813,164,471,838,630,607,445,111,219,994,819,855,861,747,869,411,251,191,582,
588,667,096,591,410,986,668,363,664,675,835,129,784,711,000,025,661,070,798,
601,519,054,002,742,719,685,728,083,735,580,451,894,956,115,018,037,954,141,
545,454,584,616,162,527,769,408,515,091,754,329,588,023,010,624,324,743,699,
836,741,502,471,802,352,117,414,071,644,140,386,842,959,613,903,202,457,764,
821,134,446,535,985,572,956,631,831,316,273,603,057,919,705,838,731,991,728,
565,554,635,222,590,029,735,060,850,268,628,454,903,789,028,077,757,451,996,
359,544,849,081,414,940,892,277,441,701,514,913,629,123,940,137,772,826,234,
212,669,359,169,445,688,226,279,448,868,416,840,763,315,643,805,976,966,210,
448,485,513,668,077,796,570,322,112,685,451,414,972,211,908,018,988,295,410,
601,295,065,263,421,284,886,282,837,264,151,381,903,447,455,486,032,769,059,
029,384,620,825,469,331,677,292,381,065,266,447,133,363,411,425,791,287,282,
555,005,341,078,089,698,785,817,892,659,596,997,588,053,074,767,382,624,037,
493,452,194,126,091,240,954,440,188,669,959,053,009,313,275,827,897,279,663,
490,479,693,055,035,522,005,331,378,454,150,548,551,222,663,288,668,475,982,
849,857,824,267,611,404,688,433,717,990,266,529,863,796,154,226,745,034,975,
208,659,358,682,721,236,607,971,038,989,002,742,349,483,299,421,317,149,907,
359,604,905,851,140,000,175,139,996,968,460,219,863,246,130,292,386,398,213,
756,527,872,887,406,163,224,463,973,372,128,934,011,309,023,450,789,196,098,
713,799,297,794,357,168,805,240,883,618,649,542,455,659,394,180,533,900,329,
290,297,228,338,845,798,043,282,950,368,006,895,852,713,419,004,943,457,881,
374,812,066,525,237,833,391,088,793,468,429,147,508,091,609,563,507,502,964,
116,026,407,803,549,803,292,745,894,930,218,818,323,263,736,539,647,401,048,
208,689,780,279,788,234,703,483,513,398,148,054,608,941,561,822,485,373,191,
304,764,851,014,519,979,125,685,757,283,279,471,106,033,572,598,422,298,654,
930,839,809,264,306,631,497,374,699,912,347,502,901,523,251,936,706,571,776,
702,213,771,725,005,936,098,416,351,555,094,915,297,056,780,343,314,275,782,
808,107,391,175,067,849,568,851,482,280,583,105,321,114,971,285,049,921,634,
473,413,271,122,195,886,764,558,725,581,184,753,454,792,048,929,782,754,497,
169,475,906,641,817,798,981,356,551,835,490,953,352,567,719,478,842,120,296,
612,381,897,959,026,474,199,325,575,776,575,285,941,190,519,223,548,371,948,
119,415,799,607,240,832,611,049,601,694,973,902,182,397,108,891,299,289,427,
048,525,161,016,146,964,091,594,633,679,837,157,899,225,740,877,221,815,485,
306,543,464,475,389,052,423,744,148,676,522,261,151,369,551,299,468,095,281,
061,334,705,810,638,770,332,216,186,409,812,621,524,727,310,819,786,429,677,
718,624,986,081,945,897,995,378,475,110,256,246,050,396,220,951,491,689,928,
899,957,514,422,198,332,714,977,130,166,025,416,164,931,981,360,688,646,101,
119,599,688,871,724,152,296,169,592,909,841,243,349,399,299,227,679,252,675,
604,166,984,948,811,008,868,588,815,626,044,622,676,655,874,545,735,405,823,
308,501,746,417,000,247,687,246,516,580,720,973,596,154,243,431,034,512,421,
147,416,754,239,678,372,155,319,198,261,457,684,686,671,640,983,052,266,734,
269,110,171,587,627,698,572,029,697,507,568,421,430,710,862,186,501,259,820,
698,345,708,467,416,952,784,577,868,379,668,530,032,802,236,787,202,545,626,
708,548,829,927,823,895,760,757,806,030,465,018,553,052,541,448,692,483,674,
412,783,165,324,644,760,543,714,296,934,416,061,535,697,404,975,622,874,121,
961,348,222,940,643,556,102,919,533,937,256,394,745,650,822,071,838,438,415,
900,279,957,469,844,473,888,699,945,972,378,474,197,374,852,703,495,025,235,
771,837,468,765,514,034,404,286,063,791,933,095,598,354,421,583,202,413,050,
554,303,657,527,780,575,928,740,304,696,181,172,373,574,008,940,236,265,524,
093,584,024,362,998,826,118,495,224,934,432,940,969,164,658,281,750,100,248,
882,199,811,375,524,537,373,562,515,119,642,254,202,381,148,034,477,222,266,
793,624,190,825,569,867,479,151,905,296,429,679,224,606,514,132,690,953,025,
366,319,729,470,700,436,161,697,457,334,334,958,749,270,478,468,984,776,531,
018,303,672,505,378,987,089,316,087,687,634,171,549,884,132,677,380,168,426,
445,838,056,587,681,590,441,209,436,003,645,970,103,741,564,855,501,708,463,
679,577,962,924,936,610,200,069,969,934,678,798,822,576,468,687,196,285,252,
564,218,318,939,215,374,739,196,190,410,690,910,010,488,016,245,918,093,895,
753,544,378,705,774,121,796,517,532,366,087,850,807,102,656,913,051,166,573,
400,380,246,758,870,961,499,408,483,599,765,381,408,080,930,935,527,662,458,
554,681,245,250,866,817,230,784,409,889,893,852,975,621,654,043,453,154,651,
528,868,054,420,321,405,318,730,207,215,768,491,379,077,246,130,592,386,812,
466,715,029,323,776,556,445,154,511,911,383,638,212,357,797,592,970,389,956,
523,180,321,477,944,419,395,376,613,312,071,427,309,134,704,961,332,224,630,
293,512,178,080,834,192,203,517,552,293,369,411,517,328,449,593,370,190,458,
806,614,414,466,874,533,439,725,783,582,028,668,736,615,727,983,507,360,734,
631,927,707,700,966,173,931,429,265,191,981,974,297,432,425,671,024,572,439,
708,712,502,624,280,071,264,404,707,964,938,345,466,709,465,867,709,014,021,
481,732,581,384,047,101,973,487,289,164,343,566,162,706,038,343,823,162,453,
332,144,672,428,685,690,867,927,862,245,416,804,974,803,158,762,845,019,022,
506,832,529,543,505,114,602,720,773,263,407,160,576,971,571,266,121,327,436,
834,651,284,335,065,269,706,771,970,781,764,617,285,914,010,309,722,432,103,
926,143,490,807,299,168,985,550,339,774,857,269,094,101,237,511,188,009,996,
721,308,674,440,776,057,986,006,694,879,785,312,505,316,833,147,268,248,646,
306,886,162,317,843,368,283,854,411,904,122,043,814,293,054,673,774,291,709,
881,864,293,905,885,980,673,459,869,894,753,574,913,973,647,216,894,387,236,
905,451,179,829,167,526,170,353,983,013,618,844,008,958,009,319,591,308,691,
060,913,637,479,636,595,387,637,281,025,894,518,090,846,223,169,354,686,595,
102,057,775,698,330,831,128,107,204,498,943,653,234,591,635,253,302,875,050,
227,676,881,074,307,730,302,527,789,591,109,444,071,646,515,707,397,487,876,
957,128,543,663,535,718,207,050,377,554,805,178,038,521,949,852,327,034,855,
412,586,479,424,264,299,664,831,267,202,644,821,485,911,385,787,889,867,611,
996,732,815,590,628,226,987,727,173,592,331,461,143,866,192,633,191,386,851,
156,167,459,974,804,171,280,150,998,599,853,448,466,001,370,970,712,592,234,
365,975,069,142,958,809,871,681,152,781,975,706,122,870,055,204,355,383,407,
986,607,105,108,176,826,232,826,282,943,804,041,780,770,547,296,837,323,389,
889,811,088,235,827,172,950,403,086,263,599,319,676,385,060,413,151,568,386,
162,381,143,594,403,768,378,991,698,960,489,348,851,811,596,203,153,566,554,
064,444,447,619,179,566,435,515,273,574,154,284,708,155,215,400,594,239,379,
232,658,704,488,798,508,967,600,384,543,005,454,312,570,472,545,606,656,409,
386,009,293,586,548,142,945,274,028,730,241,023,996,198,280,645,177,280,941,
515,553,394,796,159,984,554,699,084,873,078,756,066,963,460,886,553,392,951,
664,553,111,320,305,212,654,481,958,900,328,042,468,423,168,219,586,940,794,
029,866,275,980,925,715,245,451,809,071,599,900,192,619,362,340,070,119,849,
384,869,972,110,756,760,129,913,579,916,805,644,126,005,186,294,399,817,936,
953,071,482,738,946,219,611,912,567,414,322,597,276,605,135,722,388,792,468,
182,007,605,911,762,261,206,699,435,327,310,464,588,206,633,267,923,321,260,
119,026,661,003,371,154,772,200,717,453,400,927,582,091,690,910,835,054,914,
832,642,917,142,936,678,678,189,868,691,661,552,073,079,909,925,742,719,748,
987,467,356,345,882,510,776,329,135,129,356,762,392,428,100,189,775,777,461,
055,800,392,261,318,749,234,851,884,253,479,510,345,456,405,368,183,404,112,
194,980,315,318,870,742,844,221,157,469,087,152,451,181,452,771,559,732,227,
004,731,846,294,794,552,011,745,050,654,655,549,852,101,862,760,383,374,459,
401,691,495,032,092,592,348,703,137,458,865,590,138,213,256,164,704,802,649,
696,114,438,812,010,339,716,884,183,928,720,256,514,274,258,312,587,438,585,
559,029,328,892,917,243,164,094,793,954,654,375,197,026,236,619,875,043,997,
228,167,219,531,817,659,772,807,892,592,178,397,389,529,089,992,494,413,326,
526,273,296,028,781,354,838,033,832,466,573,310,882,054,030,147,851,622,558,
538,798,739,697,607,832,966,270,714,090,590,700,014,304,007,666,322,244,922,
321,803,542,823,341,898,766,923,536,480,515,694,392,023,090,493,030,960,466,
164,969,630,415,164,980,448,716,078,569,811,837,436,653,247,284,727,004,435,
219,577,965,114,182,519,237,895,791,659,937,763,118,091,372,994,151,144,471,
842,249,339,349,553,115,261,525,700,431,056,233,206,341,164,110,075,450,028,
145,573,587,045,026,944,978,736,250,374,846,577,408,310,805,284,727,441,184,
447,406,268,462,189,802,466,506,184,920,652,011,815,244,348,167,877,286,971,
710,954,053,242,950,940,859,750,985,780,352,589,518,589,671,231,287,816,686,
895,478,024,262,834,226,089,134,150,962,329,872,561,841,461,572,631,735,158,
002,305,500,350,686,050,308,924,292,596,415,172,316,278,149,148,197,901,890,
417,689,020,487,676,425,010,065,287,028,118,564,274,506,412,539,244,563,765,
742,299,639,323,299,513,585,263,194,189,960,267,900,471,696,701,664,333,364,
274,192,804,931,164,216,227,406,921,442,621,339,072,541,037,596,724,667,423,
837,048,243,026,581,397,440,470,395,832,016,854,364,124,582,312,771,738,249,
172,494,523,244,264,242,956,201,914,673,335,715,010,595,028,840,088,062,479,
227,325,873,088,125,984,787,005,594,703,513,923,760,576,392,029,240,406,313,
416,607,980,576,127,894,759,176,540,095,994,510,273,750,320,876,291,279,572,
020,526,189,810,893,495,847,484,364,401,753,237,763,718,376,621,454,961,342,
298,360,995,849,322,736,941,657,139,337,458,039,688,973,306,092,452,549,153,
898,737,794,541,342,167,771,737,680,002,108,637,636,812,084,427,616,404,381,
634,539,872,246,296,539,637,852,138,447,045,760,049,963,810,540,271,438,185,
442,278,696,142,543,083,333,058,150,402,539,542,210,573,028,023,379,632,933,
571,580,965,221,929,063,478,103,273,794,148,315,117,250,025,212,307,886,286,
871,562,809,636,275,502,560,890,054,890,861,372,702,697,658,330,400,452,948,
616,766,623,968,414,513,924,443,938,758,057,603,745,276,623,339,941,465,276,
230,493,584,479,976,755,067,182,472,502,841,415,534,632,865,222,374,606,872,
861,980,583,997,934,624,590,605,516,476,359,545,115,505,379,991,900,829,724,
423,945,661,137,385,908,498,040,782,671,487,534,762,062,072,491,934,798,974,
511,034,781,917,210,279,880,913,655,671,418,837,569,889,280,920,425,827,600,
207,742,180,133,567,543,814,930,807,020,785,536,285,418,348,266,442,153,821,
034,626,512,485,224,719,181,158,425,495,675,573,447,133,699,797,706,230,469,
967,309,482,045,408,077,604,046,924,558,888,030,970,097,723,551,819,292,847,
312,704,629,876,038,641,061,594,762,658,851,980,507,690,651,945,382,116,137,
196,592,952,586,589,650,258,971,501,934,363,306,810,139,636,328,915,465,015,
576,355,768,064,243,866,384,771,662,520,089,799,863,326,820,067,322,407,184,
950,941,491,946,603,240,734,687,812,012,285,651,894,260,443,272,725,785,898,
708,799,735,324,848,246,440,295,640,497,448,939,407,426,186,463,469,072,466,
828,049,368,253,945,785,555,879,325,536,245,690,538,068,766,034,732,900,876,
313,638,253,081,496,342,655,953,050,749,589,857,548,392,923,712,029,920,063,
929,387,078,363,405,282,616,631,747,355,278,701,846,979,428,268,536,860,378,
298,712,574,919,794,510,327,862,062,980,601,914,763,162,943,013,392,633,349,
818,219,766,843,392,928,123,556,808,115,831,437,568,367,694,478,294,325,694,
735,447,537,203,311,295,283,160,743,334,638,363,544,609,147,807,733,895,394,
119,479,391,451,493,606,546,134,612,635,067,230,417,416,409,893,977,696,713,
117,826,720,920,687,184,740,458,330,972,574,069,662,952,991,550,253,792,416,
327,850,549,321,793,949,265,882,634,950,044,795,839,877,709,401,302,176,456,
706,082,281,549,327,030,353,223,136,109,303,928,574,819,476,103,851,919,980,
628,085,917,645,971,263,130,239,916,374,522,086,016,511,496,884,719,445,882,
570,549,326,477,909,533,300,066,820,309,757,945,284,292,966,784,334,878,772,
919,855,447,464,416,702,719,341,132,484,783,989,059,698,648,853,672,979,829,
702,542,573,104,420,154,577,467,637,284,362,206,628,319,491,925,646,397,749,
456,084,820,095,747,257,403,202,282,273,599,585,836,478,167,608,258,283,240,
699,352,419,005,841,989,160,075,352,838,375,007,886,388,193,329,347,832,248,
659,552,604,034,244,283,691,537,484,367,213,091,734,835,690,536,157,117,329,
072,589,920,194,835,387,170,318,099,199,093,751,869,954,605,426,491,267,486,
435,508,974,604,710,641,149,391,268,929,760,244,464,711,212,304,667,223,789,
725,177,270,824,331,026,771,175,691,226,667,526,071,339,228,951,754,737,671,
860,215,758,139,162,184,664,506,083,951,671,000,143,375,479,255,541,429,743,
856,862,909,764,702,410,545,991,888,285,914,480,461,226,822,419,814,714,272,
481,479,411,762,120,260,247,143,228,453,888,067,650,127,057,303,089,541,117,
877,748,536,107,054,885,602,709,485,865,593,976,160,376,837,319,086,381,668,
369,776,533,837,216,447,702,443,472,467,169,431,120,910,998,819,339,057,699,
890,262,367,746,422,462,337,941,024,622,148,162,887,746,809,701,766,514,198,
417,950,856,420,407,581,191,609,624,140,703,130,800,441,615,886,981,510,376,
948,924,632,551,960,186,107,633,182,121,881,371,688,911,543,929,178,887,476,
331,038,053,365,362,403,991,202,198,773,695,162,677,509,432,884,067,417,896,
168,839,443,478,623,891,767,026,861,984,041,915,532,336,746,971,513,026,396,
375,032,234,708,779,377,609,381,943,214,740,296,974,404,101,147,231,569,724,
369,936,024,883,796,207,768,923,244,946,825,901,103,356,237,655,755,384,263,
662,213,244,825,162,811,082,603,515,695,279,664,023,669,806,830,108,291,011,
610,958,684,255,515,223,540,679,327,806,309,871,414,910,570,790,510,073,252,
382,511,633,705,668,960,142,362,333,812,313,398,453,321,239,790,363,668,444,
727,605,239,801,108,936,345,846,085,652,533,192,507,958,959,325,033,829,532,
948,329,036,823,945,284,022,479,386,983,817,425,135,728,208,550,436,871,558,
653,459,897,339,537,680,232,438,163,070,243,606,618,627,249,131,246,363,456,
514,675,527,372,792,819,563,944,937,259,790,266,331,005,614,600,140,257,125,
322,843,504,737,113,550,382,094,379,948,498,968,623,205,891,339,049,037,259,
954,692,172,791,949,814,445,930,500,852,750,064,445,790,639,938,985,230,612,
161,879,710,158,625,305,731,962,349,377,865,358,801,627,855,293,780,126,121,
663,382,975,816,338,109,151,721,282,860,608,257,301,010,912,352,278,353,062,
719,603,863,313,845,939,852,457,341,372,911,266,844,498,377,337,029,329,759,
132,712,760,887,294,244,862,789,620,281,110,070,242,011,439,548,764,889,002,
762,764,520,083,374,540,412,661,154,475,203,330,895,424,200,419,621,440,556,
056,252,427,541,825,340,679,856,471,473,823,613,304,355,851,895,509,631,802,
603,736,665,983,222,334,688,066,047,097,916,717,753,946,365,628,927,327,731,
094,508,901,712,569,801,094,167,378,841,261,846,122,360,887,882,853,828,981,
293,955,588,295,640,345,485,147,401,339,591,337,747,218,041,927,431,405,429,
168,982,031,586,135,457,686,216,498,523,418,480,978,823,910,231,943,858,938,
843,483,868,046,454,233,014,244,016,201,890,853,238,111,127,728,471,183,902,
795,043,814,716,626,781,022,408,368,830,447,455,841,090,454,785,456,315,122,
290,700,528,929,743,701,935,371,891,877,083,728,848,252,397,994,201,762,884,
560,645,824,649,854,989,207,387,181,116,282,749,641,248,012,930,967,990,123,
577,722,537,090,704,724,577,112,402,562,856,222,385,352,932,035,592,189,310,
877,896,936,028,962,548,545,538,079,868,226,001,716,450,192,892,529,423,241,
825,937,101,264,395,124,123,075,512,490,167,533,710,008,613,451,767,434,477,
200,846,977,471,505,987,257,002,233,754,565,544,807,825,831,235,793,146,207,
819,861,293,907,409,095,479,738,668,706,186,886,629,917,097,853,615,932,735,
742,060,975,590,083,694,494,905,006,797,466,860,312,324,104,049,264,918,113,
364,955,401,018,239,208,676,367,220,282,407,561,979,823,362,860,716,683,719,
817,134,320,717,964,204,127,751,477,644,707,741,034,122,493,923,703,935,811,
829,494,340,667,158,941,262,937,052,329,855,687,627,707,715,488,271,904,875,
684,488,995,421,403,114,583,177,887,473,031,976,636,185,814,956,214,793,999,
963,977,754,712,497,022,797,308,447,001,976,117,440,820,868,681,644,892,210,
860,156,325,736,032,764,901,822,363,601,233,474,902,636,621,260,941,384,866,
733,586,722,482,221,785,634,811,531,556,875,562,153,744,447,632,443,282,372,
484,050,117,777,605,603,745,680,482,960,991,274,710,507,555,242,250,784,548,
371,226,222,189,303,047,269,482,668,803,595,855,218,046,822,870,608,767,797,
006,190,599,181,761,521,590,445,895,148,141,777,167,489,788,455,307,792,138,
764,379,818,068,311,127,832,973,146,905,939,544,026,224,446,895,939,754,610,
033,733,112,338,935,686,241,685,463,643,717,080,681,364,282,952,438,309,713,
494,995,446,712,497,841,451,462,724,297,781,490,622,884,754,255,256,545,331,
168,822,174,305,148,341,376,810,907,745,357,121,005,068,333,640,568,337,410,
348,307,252,941,905,099,338,081,029,297,734,395,330,916,711,010,333,565,653,
975,949,586,410,522,112,965,625,705,938,971,082,237,598,458,683,404,623,887,
567,362,646,205,075,145,228,845,277,641,895,234,531,923,347,362,869,833,093,
132,676,525,086,615,593,172,780,107,378,693,998,400,638,685,728,146,947,836,
541,359,325,432,467,771,967,100,086,830,698,456,218,097,095,573,668,681,685,
130,135,471,203,839,011,731,422,179,858,462,579,212,542,053,420,945,091,523,
195,380,313,537,874,820,952,467,879,909,901,972,254,369,676,128,646,503,514,
444,364,886,854,652,107,424,451,022,403,282,962,995,105,248,879,928,889,946,
231,872,014,926,964,698,450,612,355,767,193,692,805,151,420,660,428,356,220,
380,498,609,081,299,310,235,114,373,316,956,093,075,561,507,456,949,661,593,
029,833,882,218,282,161,968,959,347,365,432,695,806,951,237,327,896,434,903,
361,441,336,300,251,144,235,424,778,890,661,219,509,867,858,246,911,038,948,
787,946,637,498,222,349,759,567,461,044,951,396,430,535,699,824,505,472,005,
144,510,342,524,204,379,230,144,480,707,776,133,714,096,651,061,508,867,153,
268,794,130,857,074,875,743,502,119,127,662,607,239,891,089,627,267,029,460,
608,624,440,967,377,583,987,161,140,773,944,675,713,683,314,654,418,832,751,
608,381,445,465,524,900,981,618,086,608,523,307,699,560,361,169,029,164,903,
636,054,902,293,265,481,314,097,095,492,246,646,308,358,165,710,528,428,485,
130,241,000,900,305,965,331,747,925,588,964,003,820,012,894,932,371,395,970,
169,705,676,178,313,917,306,520,752,305,450,718,489,621,162,559,335,515,204,
277,174,155,502,309,997,037,852,779,563,790,458,450,577,608,630,088,105,706,
198,170,547,472,197,958,997,571,826,739,917,636,342,366,880,056,092,604,632,
373,536,292,649,154,350,637,777,905,231,841,915,173,487,873,758,729,083,817,
504,975,432,165,758,326,854,167,660,711,183,673,863,838,316,363,068,555,760,
051,304,152,330,956,279,450,903,044,968,164,494,401,370,200,836,124,525,059,
507,028,294,877,899,419,893,959,171,604,295,904,352,268,166,298,313,935,810,
746,339,906,980,263,704,763,889,795,186,047,717,365,567,037,044,227,139,609,
839,412,510,511,539,253,823,375,903,017,749,125,760,687,302,919,463,712,032,
416,184,869,872,467,274,083,246,037,304,420,292,895,010,584,652,480,201,041,
926,417,788,410,902,150,843,969,993,744,309,896,135,168,814,424,893,349,580,
638,478,054,681,189,360,644,821,814,502,325,897,204,643,331,975,479,715,015,
542,144,494,356,872,040,912,645,743,876,160,645,027,343,215,400,543,518,695,
556,638,458,379,095,336,352,988,708,727,990,023,237,064,249,720,801,549,122,
146,531,088,513,888,195,701,525,930,857,871,343,569,150,600,689,965,683,630,
704,378,549,366,652,662,700,345,196,172,367,596,454,443,116,283,786,042,277,
175,895,102,661,874,740,614,747,417,256,802,259,455,551,179,009,195,796,395,
592,037,826,141,809,104,556,149,398,002,715,562,176,362,531,077,239,032,339,
971,784,571,477,909,541,723,115,095,151,701,078,897,515,123,974,121,199,200,
013,377,444,805,939,643,357,606,742,360,004,751,901,769,598,669,114,872,495,
352,763,768,480,840,635,317,463,575,327,629,723,182,135,216,180,581,026,542,
818,796,594,078,486,746,601,600,087,583,491,808,135,085,235,616,908,113,565,
421,083,808,198,825,217,878,594,377,374,668,487,247,861,857,636,920,534,380,
085,134,960,170,104,957,686,633,775,637,693,773,241,884,018,088,522,039,149,
030,599,478,018,178,078,522,017,068,201,914,202,884,783,871,014,426,206,158,
082,065,650,191,981,185,302,379,528,493,963,702,819,288,178,409,550,485,739,
485,440,161,084,953,558,862,418,896,507,759,877,139,814,536,863,931,380,518,
863,831,046,544,722,563,485,279,557,754,897,541,297,146,666,239,586,313,199,
214,983,987,727,323,821,763,012,386,402,036,266,276,635,337,159,838,356,830,
498,619,703,532,602,211,445,719,561,557,631,292,315,973,243,734,496,790,299,
291,759,444,557,027,144,722,218,387,528,485,260,551,646,807,278,998,550,587,
965,796,740,197,298,415,160,476,621,765,415,982,505,532,040,157,214,101,047,
599,274,057,753,030,042,157,017,220,743,471,144,247,083,135,425,907,142,888,
616,810,234,429,529,654,154,954,972,206,954,944,891,419,947,434,051,440,321,
667,147,174,717,919,147,195,750,240,155,411,974,425,690,925,886,760,327,695,
881,997,835,549,265,834,412,607,939,175,065,122,994,513,769,897,524,451,515,
430,435,834,452,319,775,748,100,450,159,664,089,163,881,129,709,334,960,909,
039,877,576,523,273,744,576,189,089,282,744,926,009,349,855,494,203,462,609,
458,373,514,972,947,192,162,065,944,321,545,543,935,331,705,549,607,250,853,
908,106,981,357,904,323,252,761,303,053,508,265,903,838,928,068,881,761,308,
668,529,982,501,694,102,926,819,564,348,103,870,308,821,104,709,515,952,952,
439,072,073,448,595,578,866,109,303,025,202,946,415,880,477,159,898,213,146,
706,552,907,502,768,183,962,638,209,877,191,150,249,817,839,766,056,751,572,
512,747,394,350,464,350,604,685,762,939,210,889,309,180,949,297,290,005,538,
842,625,215,390,110,757,922,711,329,292,741,523,020,047,380,447,473,103,872,
690,684,346,242,429,785,423,200,148,147,719,838,728,478,118,534,280,935,308,
573,619,157,249,165,808,511,686,509,150,937,793,626,251,216,959,688,732,615,
054,884,436,448,986,595,527,387,158,786,079,607,172,203,900,640,319,023,266,
223,887,064,811,200,029,588,743,847,336,798,951,815,041,239,586,044,833,558,
706,731,554,822,680,908,864,136,011,402,584,071,760,377,072,010,706,904,010,
086,525,480,842,237,762,426,391,898,062,197,427,045,060,405,209,611,143,730,
464,639,969,723,614,613,989,078,840,729,681,542,054,769,023,425,062,068,358,
422,302,503,967,790,191,867,070,649,961,442,597,056,655,999,086,323,702,002,
636,878,185,410,576,062,708,019,399,675,854,603,997,701,950,159,241,278,321,
831,826,563,918,511,444,899,856,182,026,045,293,993,905,350,736,445,151,201,
162,494,396,843,678,591,667,589,281,404,338,333,346,031,071,708,163,727,684,
257,768,928,685,104,540,059,083,444,036,786,376,868,501,855,103,857,629,478,
658,066,271,187,909,176,084,040,252,315,158,073,033,568,497,350,411,774,928,
328,366,184,417,623,065,718,213,213,540,343,750,677,751,410,368,198,348,718,
315,892,605,442,733,386,224,663,608,144,740,916,728,998,444,245,155,045,014,
757,919,828,936,138,646,960,620,349,175,774,047,361,152,316,325,968,247,799,
458,383,720,772,169,893,596,611,238,154,913,210,499,022,108,536,352,396,665,
895,908,807,737,981,134,105,609,942,267,755,730,452,926,710,332,354,563,469,
088,316,321,209,400,845,139,820,125,339,737,174,039,884,916,100,409,444,534,
080,664,422,699,027,343,292,300,605,318,491,558,684,801,747,846,523,407,939,
783,368,627,976,796,795,479,794,590,693,065,933,364,746,246,522,832,708,457,
861,538,690,937,534,968,467,612,067,368,014,592,929,888,509,539,299,519,387,
138,379,250,869,942,822,374,817,680,499,242,365,063,416,598,689,638,148,152,
567,007,114,966,997,100,427,729,519,822,553,738,841,057,682,285,086,182,720,
961,242,120,402,031,572,375,865,733,368,567,814,855,832,202,697,745,304,956,
662,423,418,061,017,508,684,573,207,183,131,462,824,567,614,433,485,249,564,
707,069,638,043,860,309,021,100,659,217,967,838,710,248,201,265,765,313,882,
604,777,847,725,682,776,629,386,180,098,288,109,040,899,352,020,088,379,773,
483,430,149,053,246,976,479,718,482,741,930,635,055,204,161,747,671,593,178,
633,199,934,934,813,708,200,703,511,650,524,210,440,539,967,852,600,756,364,
589,260,287,729,049,318,725,437,992,701,064,503,725,900,863,166,440,308,545,
517,094,713,386,576,971,806,275,275,643,476,937,406,031,353,566,143,801,369,
891,004,271,429,780,393,691,960,931,100,599,200,304,881,518,379,162,561,633,
966,464,929,048,726,377,076,115,810,008,954,646,357,073,507,970,835,578,470,
100,778,307,407,165,234,898,036,737,007,830,837,630,064,178,541,479,592,071,
499,357,580,570,391,238,589,660,860,645,807,179,411,765,282,280,948,376,287,
567,393,438,338,651,016,796,822,837,284,748,208,649,411,894,579,344,612,893,
315,207,446,406,948,641,675,482,406,093,545,735,032,440,570,300,735,915,069,
290,075,009,292,393,720,549,387,345,895,600,137,941,861,647,140,452,166,698,
989,690,690,297,137,525,983,600,950,867,988,481,061,102,424,566,289,061,788,
010,819,240,137,988,711,373,620,228,245,426,068,945,826,514,135,200,244,596,
287,636,388,709,939,152,589,095,458,833,671,476,168,563,377,309,061,323,316,
808,293,160,562,906,894,321,749,838,206,415,060,219,852,988,863,567,443,777,
428,135,508,627,819,563,660,047,781,308,422,320,606,035,253,596,341,280,309,
754,328,463,798,234,345,597,790,761,635,022,704,817,220,588,286,058,244,962,
019,676,198,257,586,781,684,484,453,963,199,914,155,638,174,676,615,123,374,
779,951,311,562,727,830,570,924,585,678,130,369,976,113,252,772,791,088,023,
992,414,538,928,812,174,453,894,068,770,442,124,426,743,887,039,122,637,017,
970,071,402,805,482,815,970,646,975,665,132,959,851,364,071,943,942,341,200,
685,912,997,584,107,847,978,204,541,110,303,031,339,133,522,957,054,840,894,
104,492,667,266,043,380,691,865,435,546,885,705,427,651,442,854,584,457,655,
866,603,005,059,208,723,778,431,738,563,119,692,719,568,744,455,044,400,588,
526,065,795,183,748,048,443,463,892,223,350,037,535,333,995,843,060,597,749,
197,263,942,402,704,273,226,406,005,093,238,835,469,730,850,125,215,069,717,
575,169,041,855,838,408,359,272,104,172,977,152,044,421,061,857,722,533,986,
998,861,628,565,137,538,986,800,116,025,739,132,808,517,775,644,496,613,729,
756,972,595,225,107,773,762,170,479,081,669,682,860,581,150,648,209,007,418,
602,298,703,826,348,784,271,436,898,460,522,323,382,268,394,495,036,296,563,
278,844,307,110,611,673,607,765,364,732,464,465,184,018,183,749,427,259,376,
502,772,662,650,135,693,597,434,845,005,626,520,702,765,885,033,609,440,207,
211,201,224,901,867,814,382,049,920,776,013,075,653,413,525,265,894,980,620,
527,638,384,688,642,275,619,308,241,565,338,698,058,273,666,358,092,840,504,
201,765,430,011,146,397,060,658,376,192,557,722,539,036,395,476,772,495,997,
414,472,255,488,600,794,988,440,539,300,488,544,653,234,871,293,208,564,355,
328,745,586,459,703,739,976,534,698,084,753,500,712,161,831,799,407,586,590,
987,003,742,562,802,960,576,602,245,328,397,580,907,855,314,916,066,936,941,
843,030,840,761,187,614,630,668,011,374,454,797,157,050,248,392,049,443,741,
401,328,888,927,797,501,945,941,589,844,944,161,200,624,717,552,698,446,307,
825,920,027,712,992,359,276,428,844,797,869,440,241,084,423,415,131,355,846,
462,995,853,774,222,039,875,952,658,822,779,402,911,109,550,320,843,035,202,
591,908,483,536,266,577,373,588,777,591,826,799,429,908,485,611,532,441,635,
013,860,219,007,330,834,892,029,997,585,454,759,116,694,588,901,816,120,977,
483,442,054,646,008,397,690,013,987,732,975,634,371,916,636,187,093,249,399,
842,782,178,869,398,141,602,690,462,315,513,187,081,061,050,932,088,172,756,
358,501,594,975,304,941,319,023,151,343,082,783,944,968,526,910,463,665,081,
321,766,630,324,310,191,959,914,667,610,095,619,970,080,054,664,557,729,400,
222,233,433,867,753,879,264,312,349,122,418,674,502,818,450,569,179,397,250,
839,543,806,544,447,095,228,113,425,054,337,617,391,692,823,095,379,077,804,
792,269,169,867,121,777,501,622,795,897,490,771,770,084,656,736,734,596,711,
466,812,853,161,640,163,331,267,787,586,873,912,459,529,981,637,367,615,948,
301,233,278,287,631,267,784,156,479,036,511,351,879,366,706,213,919,073,408,
037,030,915,165,360,243,340,159,872,225,422,788,254,779,957,604,557,265,846,
014,151,798,564,157,988,422,179,877,593,539,696,928,049,638,475,458,379,620,
171,613,217,239,681,261,585,950,292,567,041,971,432,265,287,884,716,743,467,
813,748,312,999,093,225,501,505,102,789,176,126,743,129,308,718,607,149,631,
722,998,065,828,643,312,798,476,984,985,762,026,864,079,244,633,006,584,090,
978,986,909,088,519,989,642,624,540,048,016,707,082,297,621,180,651,909,233,
083,924,470,611,529,293,880,870,638,307,961,877,949,672,767,543,530,558,734,
467,766,771,916,318,608,707,554,948,983,818,013,262,153,394,084,778,534,367,
572,469,110,114,331,328,954,034,628,958,261,716,555,242,715,228,931,013,992,
810,126,812,421,057,642,011,902,880,882,421,657,196,163,669,981,166,568,525,
123,805,026,693,827,934,259,788,950,490,136,106,900,045,870,713,498,263,758,
633,250,882,029,497,372,972,552,973,152,104,743,827,165,576,413,444,167,710,
777,152,658,268,756,130,693,866,417,465,202,140,067,089,315,050,521,814,301,
217,118,774,304,574,844,189,305,033,158,506,434,350,548,349,151,930,980,877,
010,833,060,500,607,988,594,712,311,660,264,339,468,045,088,489,493,051,400,
191,857,474,993,745,860,622,325,878,219,618,412,342,803,700,455,190,673,584,
153,313,961,195,809,434,707,959,807,391,264,594,356,561,883,443,627,192,439,
859,005,585,895,860,343,465,023,090,478,440,041,081,890,502,944,989,077,226,
293,146,812,618,744,158,657,571,867,915,424,074,210,654,638,574,810,525,064,
686,657,817,581,615,071,918,559,033,562,424,279,592,518,803,331,030,479,081,
205,128,896,929,781,626,778,187,941,498,459,910,310,208,836,518,119,854,971,
555,741,454,872,006,364,023,686,903,846,577,259,149,520,182,992,269,603,193,
502,734,456,311,241,236,293,804,416,916,325,440,932,654,594,118,867,591,438,
600,747,252,491,312,037,769,484,732,534,845,377,354,244,360,418,870,551,399,
280,861,225,666,271,526,009,708,113,790,805,924,920,035,251,086,216,025,755,
643,846,467,428,212,875,531,171,618,698,800,614,166,445,089,338,296,076,723,
865,147,358,307,808,191,695,889,531,562,347,636,070,312,103,894,818,378,426,
065,252,578,279,280,180,031,318,208,319,589,106,633,472,077,139,551,728,162,
421,260,016,918,735,666,635,058,170,468,406,101,084,773,072,638,547,467,865,
626,702,521,030,655,587,037,019,236,421,455,750,149,565,931,437,330,742,343,
275,481,835,226,551,131,535,117,092,987,035,274,481,444,858,833,331,742,390,
209,994,720,577,149,414,191,450,075,242,602,313,785,012,371,473,547,591,903,
853,323,255,025,665,654,900,246,119,460,684,732,179,651,201,292,112,482,573,
202,300,625,618,122,166,054,891,017,466,436,436,920,603,076,764,546,147,974,
310,763,297,892,619,075,902,138,399,486,200,535,419,043,145,698,140,916,191,
712,977,865,009,278,784,437,852,139,571,953,068,546,311,509,634,275,330,608,
620,191,887,577,125,802,741,815,512,257,137,699,343,593,194,087,905,292,553,
765,829,122,745,417,718,327,160,142,542,823,678,040,602,160,247,292,131,441,
329,036,970,377,328,610,294,353,100,490,189,516,107,359,084,999,355,361,527,
666,666,995,599,879,452,088,265,399,355,688,362,143,109,353,886,005,551,285,
293,891,449,603,442,939,706,327,224,017,601,303,128,017,640,199,787,694,515,
708,823,753,566,526,475,470,677,390,078,150,577,237,532,622,906,398,718,133,
099,985,401,944,216,156,051,921,506,627,282,126,669,322,423,861,531,184,329,
451,215,504,808,079,948,208,642,733,497,800,469,727,847,532,388,537,512,443,
040,676,396,725,119,387,203,272,347,288,716,606,945,759,117,731,728,579,861,
528,493,072,221,444,417,976,562,752,539,516,172,018,064,663,578,598,178,311,
306,677,567,173,270,999,327,204,939,062,231,251,757,966,761,183,480,785,013,
152,730,070,044,514,256,918,720,750,552,297,831,953,169,300,835,802,559,057,
705,475,179,657,768,361,566,866,477,864,020,391,094,343,154,364,942,030,062,
892,460,188,225,964,263,653,811,416,990,023,883,151,875,243,218,178,682,459,
141,039,784,679,805,984,024,211,917,874,587,195,067,779,670,179,777,519,429,
663,355,880,708,376,417,448,811,973,596,012,973,345,172,676,808,487,878,780,
167,156,697,397,471,085,018,980,186,337,822,268,322,603,932,191,528,640,362,
163,348,741,344,891,064,658,123,120,017,872,780,165,069,871,773,576,475,886,
538,440,165,190,151,743,810,698,770,742,524,857,551,559,366,855,742,579,825,
047,451,867,574,104,275,496,968,618,094,616,383,565,804,659,404,368,201,563,
347,777,584,732,704,317,144,420,288,002,647,610,066,060,142,904,334,732,154,
735,343,328,805,763,594,107,168,481,103,750,378,416,547,605,267,083,846,313,
030,495,697,497,821,990,389,922,449,306,795,988,798,427,381,640,507,457,031,
175,513,271,741,039,402,144,877,950,841,535,636,893,912,520,604,260,853,438,
329,740,510,364,569,286,851,648,981,599,109,218,327,540,817,837,448,924,635,
735,658,548,600,866,282,743,652,207,337,108,945,731,481,245,757,229,185,876,
733,176,027,752,678,311,324,592,853,638,049,774,697,268,962,527,076,425,458,
909,707,426,842,243,409,548,462,368,121,610,708,473,933,161,290,648,724,485,
580,325,694,616,462,930,124,839,027,012,511,230,657,475,958,507,978,959,839,
016,983,702,254,530,642,416,692,892,368,115,467,541,709,659,222,180,740,227,
614,288,683,659,421,761,761,835,859,905,379,947,558,505,602,991,897,936,515,
422,017,685,328,228,253,619,153,675,309,319,885,401,534,684,539,722,529,216,
460,240,414,725,734,985,031,132,748,576,364,079,388,213,467,896,010,398,036,
794,131,495,920,471,192,333,289,352,678,057,511,629,055,724,873,360,357,358,
608,382,225,942,372,708,220,438,398,710,571,619,009,346,303,516,225,678,223,
421,497,419,081,027,477,787,140,989,515,006,236,768,653,323,456,321,271,717,
073,500,064,685,996,602,067,768,858,114,726,461,150,700,978,513,417,572,734,
287,290,315,962,007,435,851,792,604,776,925,452,001,157,352,491,125,626,448,
547,278,079,159,430,524,474,420,630,926,782,233,826,390,218,372,459,096,748,
230,946,373,858,207,417,640,917,636,396,475,213,253,402,294,372,118,961,379,
629,038,057,276,151,097,705,172,526,988,015,918,433,645,312,582,572,583,542,
166,157,565,859,262,506,098,051,188,789,662,542,887,048,017,007,487,563,712,
677,817,146,038,789,324,587,471,471,398,597,814,191,767,862,932,359,795,693,
966,763,134,497,997,957,935,634,803,257,153,204,955,635,441,546,946,367,327,
601,636,790,957,073,915,126,826,861,676,197,445,834,586,102,998,838,586,564,
463,846,858,181,309,199,196,157,921,428,863,213,712,282,706,324,694,324,337,
304,707,655,394,576,892,528,064,315,294,478,846,580,764,966,703,350,664,111,
355,813,310,206,742,611,093,041,500,104,599,365,078,311,156,725,213,376,919,
947,686,352,142,017,254,094,769,337,279,886,373,260,721,175,383,067,931,754,
735,436,730,087,403,287,075,765,425,401,272,270,982,141,018,071,414,678,883,
856,191,559,526,520,898,639,505,247,183,752,226,978,133,318,007,977,249,047,
214,354,690,141,195,394,466,451,669,685,931,557,828,218,580,822,888,385,054,
450,965,315,926,812,759,013,977,366,493,530,669,144,750,867,287,025,306,523,
044,894,015,084,392,244,377,365,606,727,361,051,050,342,075,340,744,971,526,
314,531,960,181,465,944,305,939,367,243,723,850,930,322,407,840,915,808,482,
714,624,036,273,323,209,584,093,447,146,401,078,005,833,698,197,712,498,410,
870,678,706,560,866,074,913,814,700,948,762,089,063,699,115,554,459,925,727,
992,640,012,556,416,209,504,099,598,397,447,616,126,955,684,567,106,721,219,
043,147,425,990,830,452,423,751,621,305,117,018,278,625,294,217,300,738,491,
772,849,296,421,660,333,231,543,079,788,498,617,417,199,835,784,025,729,810,
352,782,273,219,559,771,704,614,741,514,850,731,120,202,261,389,979,047,838,
044,402,985,417,682,227,190,554,905,173,450,135,006,832,251,234,003,951,660,
393,860,391,734,493,188,466,589,347,474,325,832,780,387,133,556,924,405,148,
906,429,222,045,586,528,408,963,267,530,410,320,485,446,843,445,776,321,641,
167,208,721,872,929,970,929,098,602,368,742,087,246,408,856,253,541,333,730,
932,133,759,533,016,067,510,128,667,229,971,636,908,000,602,444,484,800,495,
471,348,999,759,485,480,358,551,307,310,422,538,362,710,062,037,945,212,053,
831,184,342,974,530,629,513,614,021,868,724,574,861,788,350,090,385,010,883,
938,050,137,083,472,131,959,608,412,133,816,332,966,451,502,860,427,801,105,
636,614,939,642,750,661,778,667,846,822,645,759,424,743,179,674,972,908,077,
333,989,230,076,901,535,286,771,487,080,899,611,477,019,545,378,636,902,803,
236,458,144,706,369,410,357,842,063,624,892,510,513,117,085,643,206,009,607,
803,766,647,894,828,723,587,071,976,622,754,063,800,237,054,574,977,594,133,
666,278,775,594,059,282,409,504,195,460,851,698,591,511,519,864,913,286,506,
259,350,345,406,946,295,073,566,703,946,237,944,741,009,427,748,004,053,579,
374,974,966,778,703,676,765,193,286,832,077,217,035,769,664,918,217,296,605,
771,638,881,901,891,759,484,318,028,465,840,594,450,680,907,708,776,269,423,
128,466,441,651,974,422,274,692,803,440,111,053,311,435,384,919,977,273,285,
151,640,962,595,494,874,159,944,812,536,209,890,559,866,547,914,429,376,995,
355,379,799,778,602,256,776,691,973,776,345,269,709,628,239,691,999,291,427,
864,145,327,799,729,626,321,556,267,783,274,366,213,946,384,752,723,389,665,
904,139,186,562,534,446,798,452,554,363,393,678,792,270,909,512,981,067,755,
140,210,747,731,715,278,241,797,263,348,958,793,999,841,201,877,895,625,212,
677,741,919,963,008,565,323,672,140,784,959,705,886,285,952,174,106,990,448,
948,078,792,698,599,681,203,624,659,469,676,040,143,659,754,745,910,845,731,
118,797,729,589,558,153,558,482,440,257,324,916,532,635,498,235,583,908,542,
454,147,319,996,722,860,865,237,954,571,373,159,245,692,861,902,362,577,412,
241,252,593,317,498,302,533,249,715,567,799,388,067,546,202,737,226,098,246,
686,238,958,839,668,223,130,009,362,074,092,390,166,922,533,249,451,445,248,
349,003,084,240,380,932,542,344,975,122,431,241,136,179,306,752,970,929,706,
099,152,092,806,458,717,317,781,851,500,894,260,110,574,681,243,019,273,704,
536,815,209,304,437,589,814,240,957,749,891,543,905,986,969,502,507,565,644,
540,881,645,344,327,659,582,435,281,551,620,293,522,408,546,154,195,807,431,
209,509,919,543,630,495,385,117,356,459,070,835,934,362,089,241,828,566,949,
199,549,781,737,933,774,650,647,584,807,846,141,060,571,232,247,008,283,666,
565,571,024,859,502,853,448,574,021,539,254,319,759,174,591,361,073,405,054,
994,393,778,156,877,218,325,760,169,048,395,295,586,898,559,491,166,793,668,
278,750,037,495,347,325,004,536,450,954,071,929,918,079,085,338,004,695,615,
848,057,263,767,897,833,140,316,988,146,175,961,253,467,811,106,418,927,776,
506,730,411,894,586,681,363,635,339,210,617,054,619,724,742,031,537,431,067,
930,402,132,201,525,562,047,510,647,412,117,346,420,028,264,406,823,983,076,
727,417,098,396,342,349,710,520,892,758,851,412,436,254,787,312,975,603,281,
426,523,024,496,968,459,239,759,150,181,315,085,241,997,980,047,663,819,873,
694,744,824,413,495,142,310,918,378,021,992,631,148,405,508,518,336,453,063,
907,464,321,548,411,378,775,426,458,806,901,813,783,977,672,345,139,570,388,
719,583,831,049,314,620,572,124,294,442,646,031,612,086,111,640,287,529,016,
784,939,501,308,806,258,913,448,973,347,319,927,027,665,286,867,597,321,560,
979,520,198,317,374,325,252,028,000,683,144,680,566,937,925,949,452,647,015,
020,782,136,267,016,787,810,043,905,567,769,750,601,368,904,087,132,593,522,
093,719,143,163,046,775,648,509,502,824,084,281,345,724,630,322,076,124,538,
055,601,235,168,078,914,798,380,558,871,727,769,319,662,487,653,938,962,877,
523,934,908,698,715,001,239,025,934,306,313,575,191,296,201,888,947,818,222,
620,856,020,784,177,343,218,265,612,289,577,604,863,489,813,934,096,132,884,
023,034,365,622,198,626,418,715,412,665,845,153,401,666,329,752,967,429,442,
098,232,769,695,798,555,834,545,733,327,383,930,972,122,762,079,678,836,322,
143,043,682,348,086,852,871,692,382,788,516,103,828,803,968,667,127,075,714,
272,506,906,421,440,463,262,239,582,631,288,297,504,078,421,773,752,618,262,
248,905,548,303,817,124,806,984,839,721,768,397,439,396,053,881,809,873,973,
827,920,449,211,920,263,940,166,040,006,676,288,783,103,174,185,978,350,368,
622,601,523,208,675,697,586,912,242,106,661,688,388,726,039,345,746,329,976,
639,138,675,558,670,392,752,991,178,397,819,486,805,552,147,620,909,465,335,
406,119,281,463,114,990,480,105,363,409,848,253,218,698,108,594,938,451,441,
174,009,366,289,280,899,442,836,475,810,897,405,897,731,651,171,609,829,602,
225,104,354,515,714,940,272,156,594,712,571,257,731,799,344,778,260,199,179,
790,797,199,891,441,010,238,491,083,118,701,980,772,258,089,230,919,439,624,
540,675,150,521,811,819,554,999,623,051,216,081,362,900,766,294,968,854,853,
524,570,950,062,562,574,356,002,232,229,512,299,275,816,217,799,685,382,897,
193,834,712,483,855,021,950,739,477,805,950,033,819,289,244,284,045,376,361,
121,701,335,165,221,033,885,952,746,921,965,445,291,629,903,990,174,660,758,
091,944,150,112,339,394,703,238,508,931,253,890,298,490,021,777,466,922,933,
676,600,961,838,749,360,506,848,952,717,981,736,767,787,488,928,026,186,999,
888,156,603,797,071,956,258,096,528,366,731,640,817,990,235,873,731,560,561,
788,406,112,752,652,915,980,014,017,399,887,692,186,893,693,403,451,681,426,
070,467,979,391,749,193,968,024,640,796,581,087,857,808,329,328,129,324,924,
076,404,269,325,494,097,547,239,344,798,860,127,290,184,790,724,963,978,452,
255,882,390,173,056,441,575,926,096,435,390,188,017,147,284,319,535,365,121,
194,009,490,777,995,713,059,651,703,761,219,944,615,976,239,445,598,233,593,
530,546,154,140,828,085,334,722,475,370,794,441,189,703,911,815,163,473,540,
345,886,072,754,322,510,303,997,409,771,248,352,190,864,686,913,046,703,200,
190,923,989,417,190,059,949,314,656,696,472,329,752,626,978,041,023,366,526,
430,619,014,797,604,718,160,330,395,941,723,955,109,859,078,718,436,470,748,
930,476,215,242,113,702,091,852,043,483,965,793,518,396,476,440,877,878,288,
285,501,823,998,224,766,047,013,443,332,507,840,605,512,956,515,069,496,711,
397,609,065,615,719,759,896,642,783,798,998,988,452,103,007,156,647,123,436,
797,352,985,481,633,646,884,812,829,939,587,058,772,851,014,363,029,602,937,
786,577,457,237,749,771,697,844,876,960,572,563,113,504,343,804,528,309,737,
920,071,847,899,881,926,520,535,812,947,041,855,144,718,362,097,704,951,580,
070,664,610,045,298,342,743,978,583,182,886,391,304,391,466,729,882,650,700,
319,972,051,972,464,098,278,125,625,413,101,934,208,065,979,874,712,015,707,
396,396,146,280,911,409,460,425,250,975,343,959,819,752,202,648,693,450,737,
531,237,250,418,490,825,305,360,051,750,015,309,705,793,549,287,415,292,017,
284,999,363,452,003,589,106,154,306,475,652,741,322,200,132,467,138,025,356,
141,712,754,023,099,148,925,531,579,869,684,958,530,241,766,528,779,690,256,
067,964,208,457,133,149,677,009,720,319,923,280,874,112,981,325,697,832,785,
396,260,083,221,834,546,575,783,001,989,632,502,854,972,255,508,199,642,050,
721,262,671,336,713,486,262,146,882,237,378,220,515,444,316,470,537,883,774,
130,191,265,733,255,345,189,832,116,342,972,078,704,102,791,736,689,706,240,
784,280,808,189,448,389,914,974,710,169,929,216,984,146,638,870,003,936,808,
389,628,709,007,148,016,553,436,227,958,160,519,420,027,968,597,994,640,608,
831,386,206,426,097,552,815,499,144,044,935,705,558,201,163,798,703,115,886,
578,223,788,092,502,802,627,907,832,093,360,985,348,530,938,358,729,077,030,
521,468,323,923,250,101,760,334,997,598,543,501,759,946,790,502,046,534,071,
327,864,306,866,768,393,137,198,664,854,338,952,870,534,929,621,005,518,917,
849,948,376,098,266,441,361,930,835,690,070,314,898,147,585,467,949,163,125,
221,462,320,141,486,066,790,457,959,158,038,109,491,668,543,413,857,058,045,
181,515,400,235,429,790,473,315,824,953,736,880,254,992,402,218,930,018,126,
600,848,819,917,001,005,198,550,598,871,796,276,381,205,672,272,115,385,062,
988,499,996,513,536,161,966,749,107,407,389,383,757,218,892,778,813,831,488,
135,175,676,103,946,330,808,962,161,683,013,207,501,120,749,020,161,433,266,
376,602,840,526,468,144,775,199,172,710,163,630,466,759,059,986,778,961,740,
320,979,420,422,978,701,794,378,013,733,626,518,484,934,822,115,575,201,336,
325,250,171,300,494,272,698,275,127,928,658,411,245,405,320,207,250,974,176,
537,211,631,170,845,544,474,464,605,828,592,807,271,713,774,464,453,182,933,
411,376,443,001,733,407,635,524,254,824,515,842,094,945,752,516,115,178,970,
667,111,387,066,696,114,073,906,439,807,751,762,269,026,888,035,626,899,452,
700,530,382,365,204,409,448,436,068,365,226,438,942,180,663,974,826,578,726,
558,549,300,225,081,130,980,196,913,374,283,084,287,987,604,427,901,011,371,
581,519,059,366,850,573,569,576,099,675,083,289,766,837,741,380,005,481,224,
252,429,893,555,130,853,280,371,466,923,187,650,889,546,430,082,358,819,115,
613,071,941,686,250,843,466,017,851,654,952,440,558,290,369,400,352,891,159,
963,717,781,724,048,284,294,073,929,077,124,350,061,504,518,983,472,071,320,
293,789,163,208,327,473,690,613,747,401,310,554,165,241,729,021,931,550,693,
381,398,454,054,998,305,302,512,998,490,847,604,417,686,904,609,576,352,138,
483,149,886,101,691,289,676,740,808,982,308,072,605,104,826,139,090,127,908,
369,503,491,939,179,220,751,508,886,389,439,171,385,911,199,874,943,993,618,
060,752,953,055,305,792,934,620,426,886,528,985,396,872,967,115,156,446,562,
105,541,324,091,221,749,542,705,103,373,161,685,389,031,430,301,734,267,592,
724,142,182,599,677,972,541,992,646,079,828,159,339,076,435,855,502,684,754,
321,973,076,015,022,324,114,308,540,016,450,741,234,586,067,152,251,388,845,
731,880,855,096,936,127,024,972,898,026,077,893,251,565,705,424,609,781,985,
282,276,624,295,759,039,843,845,369,591,437,504,485,852,018,246,943,113,530,
212,065,492,357,965,639,963,337,384,266,896,508,855,377,807,145,217,315,181,
798,249,445,448,323,864,746,961,800,851,074,292,060,935,392,246,252,970,966,
772,685,640,718,827,143,574,232,516,194,613,376,748,227,057,213,255,105,037,
872,941,672,469,771,760,637,518,973,831,542,964,280,559,207,794,421,110,090,
411,973,258,407,386,276,948,551,351,278,595,614,321,729,597,013,657,035,781,
479,565,637,117,897,348,148,891,209,521,973,074,177,881,881,693,925,024,670,
504,397,729,744,906,678,412,656,819,548,342,622,873,514,357,890,259,062,039,
853,402,419,891,357,725,916,804,428,656,173,940,149,716,211,044,941,546,744,
433,534,053,371,449,946,113,873,176,169,000,816,931,372,071,256,847,892,559,
195,596,806,704,647,250,883,406,616,866,032,349,224,869,013,554,470,619,574,
812,515,098,450,115,960,307,594,092,469,573,455,308,867,063,027,035,758,976,
442,788,840,671,268,019,906,706,480,413,710,086,656,453,472,723,845,590,103,
788,417,593,025,961,636,955,134,876,932,892,098,200,599,395,672,396,742,230,
605,971,352,356,833,825,686,470,687,958,520,231,608,310,527,644,427,208,781,
553,030,255,237,944,649,824,235,682,987,780,207,939,484,111,776,615,864,981,
902,596,977,472,970,301,501,870,807,503,103,852,892,830,970,080,833,457,530,
586,902,968,461,134,125,246,159,535,114,592,424,993,410,624,209,549,076,208,
279,985,453,098,634,154,632,666,071,404,632,440,526,876,609,226,854,882,124,
760,490,779,659,329,224,138,712,418,197,501,908,006,561,999,941,944,549,660,
042,737,519,816,733,015,391,641,212,528,469,433,505,037,015,317,906,004,070,
670,247,437,799,451,666,523,864,359,247,738,754,006,076,835,931,624,445,618,
563,281,592,530,263,064,639,196,833,242,093,883,526,848,274,474,178,008,934,
434,956,187,030,087,725,485,127,091,043,065,308,034,544,872,785,871,765,359,
688,503,795,956,338,154,283,341,198,983,763,651,022,040,369,785,373,118,147,
636,880,590,581,125,237,843,965,883,510,506,468,045,102,021,975,601,373,111,
495,665,204,132,705,687,373,526,127,089,742,691,891,451,538,693,512,206,345,
658,407,034,462,586,121,534,271,879,473,991,061,789,299,908,786,053,838,966,
567,660,639,586,058,906,733,420,469,517,773,588,888,223,266,448,017,013,993,
972,206,641,654,243,853,432,382,894,139,618,590,333,776,548,324,068,645,217,
801,176,475,313,741,844,680,520,874,760,076,405,888,892,819,647,550,864,688,
486,170,608,047,601,673,022,582,586,723,335,258,680,318,593,086,936,283,726,
087,206,423,178,432,881,471,068,838,659,119,665,818,574,953,628,202,725,168,
309,212,417,904,381,739,653,040,146,654,526,666,774,317,994,459,627,826,330,
511,840,333,032,375,733,886,934,482,892,378,711,539,346,754,047,974,900,633,
207,623,319,609,392,648,913,654,087,368,381,190,232,858,465,148,732,043,052,
552,022,578,488,695,649,242,414,386,267,337,450,373,072,315,656,960,918,113,
228,454,141,684,363,305,750,917,129,365,089,548,259,425,352,495,344,433,504,
240,357,170,834,199,754,223,986,573,987,040,037,448,408,124,874,467,155,872,
642,387,786,188,687,673,377,706,994,608,605,609,328,951,435,492,107,575,100,
315,159,948,296,269,880,109,979,336,497,455,008,894,011,967,756,728,906,764,
078,827,846,210,981,732,015,152,342,652,896,882,568,165,028,698,917,379,970,
707,930,216,697,397,599,136,099,799,932,652,782,289,151,207,399,746,965,280,
143,535,533,970,249,122,656,256,165,126,658,835,814,624,568,267,553,986,177,
654,660,711,192,830,001,997,736,737,507,387,758,027,756,467,102,828,336,333,
257,350,741,586,638,492,420,436,808,943,494,978,020,814,415,016,129,103,965,
205,991,604,313,777,933,028,483,429,065,868,876,975,876,821,242,653,140,122,
547,122,690,583,815,244,477,391,505,387,493,987,787,738,824,369,462,866,234,
654,150,644,912,340,622,951,338,437,116,071,754,951,587,304,999,793,046,344,
584,130,423,625,063,648,366,584,646,077,972,451,096,908,928,955,959,036,480,
925,371,698,006,861,060,005,937,928,789,642,251,669,861,340,108,306,519,476,
467,272,040,116,204,234,434,110,090,016,890,071,589,385,410,181,440,851,921,
143,962,742,233,044,687,166,033,905,696,818,041,463,690,784,588,619,664,709,
739,883,509,999,198,733,300,902,194,629,568,538,278,711,970,825,107,748,097,
206,152,739,473,819,255,204,992,907,258,596,219,605,617,123,992,006,492,501,
492,863,899,561,057,760,869,027,197,589,237,703,216,093,398,933,777,899,961,
057,789,117,808,946,497,842,823,778,863,605,441,778,225,236,661,930,063,665,
863,928,689,373,926,036,516,643,160,749,291,209,841,085,936,164,812,971,591,
552,374,313,583,287,541,247,034,884,423,748,606,014,294,259,214,637,251,438,
085,895,888,210,962,876,707,324,458,777,972,310,432,148,128,960,283,410,151,
964,539,627,949,394,437,665,438,376,149,674,190,579,807,475,359,552,436,282,
443,888,734,871,118,311,546,167,186,165,644,173,512,673,553,904,687,314,155,
096,322,322,144,803,795,205,286,951,552,893,504,364,435,893,112,834,612,578,
879,761,916,131,377,322,268,023,007,788,217,160,073,733,610,059,664,335,170,
985,525,966,043,587,168,048,944,389,647,205,492,168,848,858,432,710,835,043,
041,352,738,683,930,921,178,880,730,458,615,755,463,060,585,152,586,881,743,
789,690,093,161,886,790,394,069,222,428,730,594,457,424,786,035,794,424,994,
681,000,974,817,007,258,377,822,728,687,785,928,120,538,344,666,470,928,242,
200,007,158,467,506,327,843,626,685,917,413,096,679,876,352,757,047,001,519,
789,782,142,694,465,156,900,646,121,221,275,706,642,794,971,355,484,094,918,
326,987,673,592,307,087,037,306,058,447,237,652,053,950,171,118,971,020,625,
186,175,226,748,677,720,665,966,511,226,330,780,773,515,094,306,667,899,041,
503,021,239,952,101,419,787,212,786,763,564,319,909,332,324,065,922,937,391,
825,879,594,867,364,909,070,927,553,828,355,535,291,374,428,893,377,078,053,
172,761,131,260,060,282,171,035,607,513,566,314,553,038,895,572,266,423,683,
920,552,170,459,855,755,375,214,967,774,048,157,765,788,198,791,515,446,902,
820,122,870,386,206,903,908,279,219,148,104,790,225,499,463,395,943,044,644,
578,008,100,238,195,682,352,757,026,005,882,420,583,198,100,894,797,628,393,
065,884,764,357,839,212,951,522,907,025,666,864,400,105,277,227,008,953,501,
174,410,256,465,588,676,486,092,278,146,443,307,191,403,806,501,636,143,644,
724,034,302,989,806,874,174,690,032,184,014,180,318,908,468,864,223,257,478,
238,852,180,536,120,480,300,095,333,904,606,395,757,994,894,139,359,576,948,
530,276,764,617,489,072,660,602,490,894,235,456,812,123,380,838,757,610,299,
718,824,133,183,388,431,710,404,512,810,203,233,658,665,104,321,070,690,411,
135,294,688,703,850,938,119,134,534,379,724,343,173,480,307,400,019,317,807,
833,485,909,186,315,264,776,198,131,373,323,348,941,209,531,741,600,066,035,
631,691,632,062,671,969,857,359,023,062,691,957,846,341,028,761,626,422,272,
941,436,392,746,823,546,026,387,298,417,728,577,922,862,562,104,525,798,086,
469,982,401,397,398,204,325,137,002,692,858,815,557,150,990,585,206,941,132,
488,655,502,820,192,263,624,431,545,484,340,789,527,462,379,034,181,833,162,
624,212,135,144,597,574,661,371,052,120,130,886,298,957,928,193,316,185,734,
781,151,054,862,178,452,065,201,574,683,812,636,099,081,188,954,364,135,153,
097,915,921,334,084,776,214,200,274,067,914,188,253,133,041,200,844,509,546,
257,152,779,345,653,641,759,212,620,598,321,476,433,312,778,608,988,700,700,
824,401,085,183,336,325,150,898,136,749,826,719,114,905,988,936,126,589,804,
794,538,802,703,695,145,412,805,600,601,087,010,068,393,869,158,511,903,296,
914,059,157,251,372,768,455,623,361,732,991,141,049,432,837,151,393,227,831,
725,224,551,618,960,933,528,075,356,891,105,348,994,486,888,182,153,532,303,
378,485,845,298,483,403,327,525,753,186,403,158,005,800,143,835,228,986,829,
997,711,169,685,501,880,302,694,051,113,194,662,285,825,501,087,763,154,581,
703,140,850,364,705,991,392,994,251,679,449,152,359,998,909,678,372,965,554,
691,803,444,674,692,268,438,363,473,315,027,519,890,647,705,538,874,096,834,
526,032,731,329,523,085,589,089,940,079,868,430,641,188,778,388,600,488,276,
443,854,265,891,052,772,710,348,765,586,886,662,088,332,997,435,157,426,255,
943,515,413,716,441,333,979,074,021,037,873,137,097,099,357,122,041,926,990,
023,877,000,650,607,265,503,045,000,055,310,892,105,323,958,668,379,288,113,
712,171,791,905,964,485,161,780,415,876,777,988,631,766,789,449,248,105,019,
208,750,534,150,194,234,383,087,071,248,525,462,081,925,865,450,707,751,059,
460,069,799,539,443,384,845,285,139,572,452,296,921,433,775,032,062,610,144,
274,205,498,216,551,445,018,164,618,807,450,809,518,519,549,099,520,059,931,
828,270,718,355,892,365,962,318,223,189,269,640,639,836,166,645,841,898,057,
005,771,915,561,864,079,122,303,879,434,346,937,013,262,086,920,955,618,232,
842,103,199,618,485,514,367,890,897,708,693,832,824,693,618,302,386,216,562,
299,158,066,996,105,454,830,673,739,451,377,078,041,166,944,018,568,841,475,
190,048,264,196,611,926,585,128,331,262,385,713,739,278,788,907,177,216,855,
621,662,682,072,952,111,024,360,982,611,413,060,902,220,992,062,430,782,823,
422,176,576,479,700,901,220,780,977,024,569,709,947,701,841,010,708,169,175,
459,459,070,542,303,528,243,164,507,344,900,983,216,760,667,847,623,542,124,
269,255,947,791,098,085,833,709,492,321,948,164,988,027,276,078,355,823,186,
162,441,893,269,866,733,245,971,493,729,626,808,989,472,116,701,106,479,432,
575,483,864,292,668,449,303,477,135,048,252,764,498,374,547,424,460,855,189,
469,380,700,238,243,339,112,678,129,558,436,623,209,637,689,122,202,826,975,
784,030,820,951,776,292,173,397,298,068,873,072,782,696,349,060,327,092,991,
898,266,699,639,712,043,030,561,561,015,141,320,414,000,625,492,278,955,696,
385,877,510,587,928,313,546,663,508,585,764,956,661,620,309,132,791,344,049,
224,698,981,333,796,931,224,485,261,775,286,155,612,944,409,253,691,246,890,
977,884,372,091,851,550,663,386,469,372,763,057,259,717,284,306,795,873,047,
274,607,211,083,305,688,512,919,728,347,066,843,138,592,826,348,370,598,790,
986,252,143,691,570,622,288,206,624,369,651,059,285,002,439,419,118,385,595,
812,792,413,640,414,956,628,424,985,089,303,570,884,990,092,326,480,476,261,
303,926,194,531,461,269,999,567,879,031,707,743,285,441,225,342,013,292,720,
235,669,056,441,325,806,346,539,369,720,091,413,666,728,540,528,184,492,486,
989,020,637,840,010,087,722,866,567,796,604,472,746,555,039,151,102,838,893,
286,258,988,997,811,136,758,315,742,196,833,751,324,948,455,753,068,905,745,
189,301,975,844,506,208,103,552,597,752,906,865,770,328,011,439,221,975,797,
536,594,324,033,400,380,209,534,683,705,883,691,880,849,734,709,296,468,184,
142,999,022,760,832,578,561,106,691,391,803,742,514,450,296,258,742,839,572,
281,355,928,364,498,502,477,885,390,131,717,203,491,000,476,010,233,509,356,
176,630,460,458,551,536,112,506,921,272,809,511,760,445,476,021,732,517,755,
091,083,705,450,124,964,454,231,159,583,231,365,974,924,881,489,915,032,431,
246,259,854,720,584,468,458,263,054,339,177,498,243,191,075,756,557,745,081,
623,755,613,610,195,554,006,945,120,205,074,310,534,539,360,345,007,316,200,
331,077,911,045,457,929,918,558,833,129,157,061,537,731,875,899,675,889,030,
903,259,941,792,900,599,688,926,287,097,690,160,156,348,758,164,803,380,322,
431,224,411,512,300,543,254,368,664,211,896,849,884,715,772,424,546,449,504,
079,060,894,443,387,966,891,955,720,967,969,147,309,287,886,939,320,002,061,
447,247,182,823,027,044,038,779,469,827,022,315,203,443,442,237,687,197,764,
343,200,535,804,608,608,136,453,671,410,047,098,228,134,874,267,082,002,534,
999,673,831,075,789,565,902,234,870,050,042,881,882,146,535,277,762,485,169,
759,596,206,575,350,875,892,708,071,894,031,750,081,459,458,201,000,016,818,
510,419,809,810,680,378,985,565,172,501,455,925,100,198,429,829,393,293,763,
122,654,797,771,133,431,363,985,955,531,339,751,133,760,719,264,946,886,519,
339,776,255,353,377,086,340,277,641,558,551,420,646,942,484,065,160,245,294,
916,693,865,828,148,322,304,222,002,913,174,168,650,276,486,825,959,578,879,
957,200,037,249,836,423,483,519,523,361,009,868,771,681,347,088,113,748,011,
289,457,705,202,023,740,469,305,192,336,762,690,642,051,683,543,043,601,149,
148,739,509,639,847,916,392,038,221,452,061,880,693,939,786,864,524,708,614,
143,773,568,036,458,624,717,578,913,110,173,754,888,828,094,222,791,316,969,
135,374,216,161,979,834,342,821,474,925,466,932,219,311,659,332,174,550,137,
851,342,138,101,547,499,448,382,250,300,354,475,370,749,615,586,064,176,576,
177,140,355,991,038,798,313,240,452,518,548,866,579,484,767,479,659,994,333,
191,381,634,860,262,874,336,511,517,941,219,415,273,744,088,590,520,310,024,
313,898,955,522,815,971,038,959,909,887,120,617,913,785,035,079,557,532,057,
740,781,451,573,507,937,605,498,520,688,470,571,066,111,597,803,349,455,265,
775,994,835,914,360,446,975,007,956,122,774,661,462,519,595,779,294,973,212,
935,911,252,253,261,964,275,525,616,112,082,584,661,979,751,760,738,013,058,
869,637,653,166,187,094,882,082,573,918,922,920,155,713,675,028,912,577,244,
528,193,816,658,400,411,226,076,023,519,911,736,211,873,889,588,202,256,468,
439,111,386,617,167,382,865,749,992,780,959,936,573,321,053,510,011,309,995,
498,760,213,781,973,567,413,623,607,730,326,477,864,340,819,937,099,415,410,
383,272,637,242,439,076,593,085,781,908,436,185,179,817,349,769,973,857,489,
597,763,463,545,448,542,962,158,905,497,600,231,687,052,241,680,590,244,007,
490,393,837,827,555,566,591,649,854,690,524,494,626,434,436,483,983,012,783,
197,655,651,015,958,063,820,009,267,145,529,233,645,002,136,727,190,548,358,
132,945,813,408,771,423,867,192,682,859,576,840,617,678,079,167,784,368,911,
110,554,769,682,309,435,018,160,000,754,804,641,280,027,649,460,631,197,755,
631,794,720,800,154,569,556,839,820,639,257,364,887,558,724,792,550,426,436,
660,267,570,273,247,718,215,862,429,347,172,589,938,469,353,572,188,347,094,
891,156,948,976,434,935,076,640,382,317,197,626,028,798,414,060,710,663,584,
984,411,752,499,504,212,651,948,866,574,216,476,525,773,728,677,079,954,058,
924,340,345,399,743,963,249,820,205,548,947,316,436,044,328,250,039,032,908,
756,337,591,390,835,915,210,731,347,272,541,666,720,477,135,963,461,794,384,
820,193,499,128,746,024,036,659,477,089,301,183,643,779,446,898,553,323,333,
558,485,966,310,965,885,500,120,879,948,867,322,849,360,435,863,014,875,335,
966,673,755,596,520,823,976,811,990,866,757,828,467,083,174,742,510,846,018,
238,310,126,458,877,456,534,564,365,624,901,692,986,217,141,193,844,957,801,
445,307,586,001,413,249,359,916,816,772,695,848,055,908,172,704,745,860,224,
744,130,582,631,283,147,923,356,224,813,663,896,406,288,093,665,452,950,385,
240,034,911,458,329,911,185,143,790,465,364,076,064,245,840,705,865,918,372,
689,916,329,902,044,205,909,112,742,329,938,674,889,167,666,846,631,369,086,
399,651,721,603,105,988,516,968,226,402,292,026,069,283,676,268,933,392,173,
397,159,103,636,896,241,622,979,114,106,694,236,832,887,323,746,671,127,889,
426,377,440,924,564,561,655,873,018,664,937,160,726,482,336,563,502,364,804,
191,182,156,458,667,162,520,320,126,147,778,626,127,788,444,325,492,535,530,
720,897,175,514,999,784,901,598,623,267,197,554,657,854,796,051,497,526,165,
825,977,989,156,606,768,912,779,908,727,271,233,977,707,727,170,836,726,971,
073,016,115,217,281,937,492,320,892,979,449,457,172,717,821,353,874,740,754,
236,621,484,544,231,156,442,108,730,361,866,426,657,473,093,606,791,423,191,
278,233,709,596,523,959,024,000,776,262,582,701,535,039,658,068,556,694,173,
507,568,301,495,872,822,762,691,353,538,891,668,034,998,321,185,869,475,572,
084,745,842,037,709,797,605,089,451,606,499,884,140,492,570,189,246,189,945,
159,305,343,604,981,285,392,586,520,607,325,839,548,876,692,291,253,719,628,
138,998,089,007,961,718,737,376,517,809,845,025,196,444,142,355,526,209,466,
474,085,252,945,298,791,210,420,289,123,032,449,552,050,214,930,870,402,414,
990,751,934,093,458,225,434,576,813,174,635,177,482,274,847,615,996,989,048,
706,321,423,745,937,530,421,564,982,941,846,428,144,505,511,196,653,907,194,
276,346,013,174,645,726,871,646,098,599,314,647,768,082,493,961,709,186,804,
085,285,063,597,914,064,327,203,743,307,516,718,301,203,199,221,721,257,009,
401,412,248,453,659,257,949,473,492,001,479,353,691,012,800,327,691,182,517,
249,235,295,603,309,115,964,628,148,241,608,530,125,657,889,911,778,511,214,
931,325,937,490,132,973,030,569,340,438,442,374,173,502,537,629,330,997,460,
891,266,210,482,494,007,409,904,122,105,926,750,910,454,619,853,319,354,740,
526,916,935,738,986,117,867,247,790,203,444,997,258,435,699,879,409,698,481,
762,745,749,231,474,826,127,945,968,883,457,683,265,539,867,514,951,764,488,
937,141,604,002,021,376,216,290,396,737,660,073,529,386,322,026,676,529,716,
554,193,671,218,391,501,807,954,982,403,915,634,876,121,582,604,541,268,427,
763,783,160,550,286,774,323,492,174,482,692,039,995,109,384,407,720,697,834,
182,373,729,954,863,232,063,692,064,553,723,573,944,951,733,573,099,195,894,
671,526,017,883,511,492,912,615,462,129,936,839,399,402,494,783,804,419,747,
667,930,019,348,054,252,344,342,870,926,918,837,349,550,832,739,240,970,357,
920,834,145,980,927,049,475,434,904,058,924,508,217,802,960,503,993,883,169,
238,628,086,847,598,903,864,738,497,470,950,158,257,223,731,419,993,317,624,
094,153,917,210,161,804,747,789,848,980,854,561,356,836,715,970,356,424,174,
140,794,552,132,195,174,073,068,719,849,112,014,316,144,575,000,616,024,534,
185,044,819,429,606,523,451,295,609,181,190,522,913,086,054,326,218,358,209,
958,979,351,254,526,852,087,015,888,576,089,438,263,442,719,589,178,697,567,
144,147,322,169,906,371,522,706,323,194,451,336,731,370,485,552,157,865,402,
508,981,817,342,014,772,197,644,870,645,322,429,895,236,775,711,154,899,903,
125,328,071,243,258,507,447,496,266,492,025,829,874,873,369,682,580,226,514,
860,399,242,136,120,609,682,413,769,512,226,285,810,016,556,340,157,846,361,
452,955,115,465,356,058,184,874,813,061,764,061,931,846,153,740,326,300,225,
204,469,600,434,109,513,342,053,406,909,575,233,703,444,878,935,950,544,117,
895,914,137,046,583,236,701,610,247,300,633,478,813,748,147,909,451,738,604,
093,324,834,486,086,333,027,473,341,904,504,025,915,194,580,983,643,076,680,
211,107,001,803,457,905,510,578,467,713,733,791,626,271,212,734,516,443,758,
028,444,823,260,711,091,951,697,255,526,594,754,903,356,379,321,100,933,378,
265,844,085,869,460,511,437,959,258,831,391,854,218,057,470,916,553,725,202,
864,728,157,572,168,534,657,786,011,346,143,872,952,737,495,515,658,900,514,
851,338,319,306,215,698,352,570,043,069,530,851,324,931,979,149,078,063,020,
575,462,119,680,274,836,029,563,267,468,430,470,149,415,763,052,807,782,993,
688,623,655,310,031,717,319,023,648,660,530,119,021,092,526,295,878,005,473,
858,005,372,773,694,542,335,301,183,887,754,767,165,016,574,287,171,662,709,
805,949,597,938,375,393,928,887,528,700,885,843,576,327,740,668,314,622,919,
068,383,924,537,233,929,192,979,070,928,343,778,279,068,570,300,214,501,177,
679,764,669,659,746,543,767,757,369,458,977,224,439,218,701,307,237,996,266,
793,059,703,010,728,798,519,499,836,255,316,108,198,976,118,322,285,499,204,
213,845,522,702,789,340,696,073,447,401,164,614,720,843,996,447,458,367,481,
236,735,926,637,400,506,856,818,301,846,868,134,697,396,468,844,291,444,474,
715,302,239,484,194,590,242,938,050,196,590,466,234,834,575,623,185,229,659,
140,626,466,843,365,273,294,794,883,205,939,819,704,043,489,993,181,231,562,
478,373,876,022,109,844,500,126,975,809,600,246,188,110,984,620,230,235,040,
706,744,121,424,779,642,368,402,196,381,598,446,456,932,742,052,637,818,265,
828,004,653,804,492,756,099,447,533,654,581,215,192,585,203,022,881,124,852,
665,702,529,793,909,725,871,348,740,272,907,969,447,696,942,697,321,285,434,
995,466,330,949,454,820,410,337,458,558,111,225,561,751,894,366,485,616,503,
242,439,189,765,093,497,821,775,973,911,006,259,216,077,404,745,025,890,406,
796,798,660,117,170,068,357,469,579,368,000,039,423,179,675,833,022,091,763,
251,736,574,214,536,651,202,483,852,699,355,139,071,544,516,032,174,487,044,
370,577,985,159,692,980,002,801,776,377,464,826,967,942,903,001,203,688,429,
662,628,491,219,040,453,457,789,363,932,518,027,080,938,352,066,684,919,114,
548,445,063,953,632,206,246,876,130,137,118,915,168,875,055,699,976,379,754,
588,540,989,435,960,080,241,765,291,389,073,871,276,438,486,993,235,384,466,
087,914,195,643,962,537,994,034,368,242,848,355,536,504,028,446,233,464,295,
615,096,930,055,330,746,042,959,135,522,638,902,248,913,276,899,410,052,450,
100,190,388,752,440,570,887,811,693,591,099,299,254,121,469,107,267,571,959,
803,451,696,230,962,415,714,864,057,110,583,374,956,818,721,203,453,217,198,
031,856,459,281,853,397,017,467,271,270,947,954,861,826,168,009,798,797,121,
908,796,665,448,769,578,311,728,579,934,862,571,810,991,968,609,942,900,344,
317,998,710,113,788,884,270,113,441,960,144,773,103,694,926,465,432,171,666,
984,127,488,592,738,007,202,905,401,252,748,384,936,606,710,947,397,940,226,
482,757,105,519,480,054,778,859,771,472,639,481,944,992,702,805,644,498,597,
722,331,183,953,090,159,339,321,188,376,765,533,663,561,624,213,349,451,114,
876,369,736,159,620,482,138,999,630,112,250,960,990,857,813,369,281,791,597,
101,845,062,945,349,534,916,257,663,441,624,637,491,770,481,665,778,035,183,
425,467,355,020,047,972,809,216,640,305,105,892,594,781,751,141,386,607,159,
652,386,621,534,457,669,188,395,417,454,529,242,810,828,481,060,235,607,756,
024,280,045,439,673,521,816,850,690,681,463,812,721,861,105,348,844,607,662,
417,076,366,901,794,361,974,645,949,741,145,179,641,241,188,430,252,313,145,
920,244,416,097,587,245,256,681,634,934,226,230,480,867,962,283,434,073,738,
629,247,585,021,535,678,963,617,731,346,570,724,991,052,447,010,259,801,160,
433,432,252,878,696,699,856,347,292,272,539,927,425,249,864,775,817,499,736,
016,330,669,662,036,774,452,327,574,304,158,187,222,290,806,925,991,268,458,
716,414,543,588,033,193,756,317,851,274,202,449,088,074,942,693,196,688,760,
896,527,300,482,697,449,001,306,241,432,973,450,497,142,691,783,052,162,782,
130,320,201,817,631,418,432,253,789,481,690,704,964,205,268,473,430,624,156,
418,346,957,194,680,578,711,399,195,143,539,648,754,583,560,240,652,102,152,
447,981,551,993,118,549,748,606,368,464,417,541,761,523,832,213,355,216,795,
024,097,234,001,510,046,281,597,665,898,996,571,768,635,374,225,916,030,865,
919,632,708,904,762,849,492,933,046,373,268,628,393,517,821,839,378,992,895,
294,735,811,400,745,440,465,400,264,788,823,132,944,775,958,004,647,302,309,
782,501,763,108,918,892,530,659,620,406,384,236,202,410,371,745,126,050,824,
729,796,560,282,232,004,112,226,939,365,835,865,905,566,940,132,775,181,480,
270,035,991,661,992,359,811,335,977,187,285,026,683,573,008,590,113,603,160,
576,219,450,158,196,043,955,272,720,334,785,641,171,738,983,192,810,136,235,
652,764,505,673,135,548,110,821,720,296,094,424,449,921,076,006,832,627,331,
438,639,462,305,842,524,980,678,008,457,386,030,098,697,080,879,184,292,597,
674,309,739,202,548,862,978,768,746,978,183,357,439,684,386,252,964,348,868,
667,248,859,752,218,222,225,461,893,044,422,246,427,188,406,885,593,205,173,
348,911,544,187,001,924,898,048,648,093,360,163,224,499,278,687,159,546,830,
638,678,978,098,315,249,688,461,748,360,669,660,115,601,314,777,871,112,839,
364,562,849,808,571,641,242,934,984,396,424,766,190,405,871,672,574,810,900,
936,206,280,085,509,358,487,836,528,212,458,853,886,582,558,459,858,016,154,
806,432,454,896,489,888,626,372,696,553,128,499,214,239,394,593,625,094,639,
390,228,790,109,036,767,862,084,516,686,884,109,589,723,133,689,794,229,671,
870,467,321,564,642,388,053,536,187,280,268,379,935,900,673,396,916,655,266,
831,296,530,503,300,517,521,701,339,145,128,293,029,467,553,856,668,390,833,
634,614,420,207,164,766,252,624,332,047,599,796,652,087,817,552,305,945,730,
479,482,301,193,538,715,724,567,884,465,430,836,456,436,224,575,410,701,687,
149,570,075,511,370,434,165,948,343,806,890,192,800,345,205,743,189,228,683,
558,299,980,020,801,216,114,419,852,192,782,912,652,002,295,849,293,580,724,
243,091,780,379,892,330,711,548,932,606,748,553,301,091,337,432,205,977,808,
599,904,608,899,313,683,582,753,048,722,483,632,226,383,095,297,170,365,781,
384,086,149,376,397,095,860,076,681,051,588,725,226,500,001,004,405,238,343,
304,255,840,822,387,593,324,262,103,675,770,180,135,412,235,121,419,801,515,
020,059,449,433,452,984,393,901,637,724,534,034,248,184,878,906,209,427,406,
077,960,016,493,991,877,060,779,471,452,643,193,282,612,488,423,823,337,197,
365,288,617,523,636,254,004,115,620,246,987,987,015,020,497,557,460,170,948,
512,777,331,653,757,084,526,264,308,967,310,026,964,049,036,872,356,869,583,
720,843,532,499,107,277,440,683,533,632,547,329,701,643,197,470,997,394,543,
965,670,176,700,968,776,995,885,212,452,055,034,544,160,128,663,222,526,069,
607,753,018,877,086,866,290,887,667,487,418,480,523,773,955,939,272,718,085,
889,648,444,614,558,498,986,562,833,408,426,757,087,385,454,488,449,278,696,
654,124,762,500,855,514,536,078,413,443,493,050,510,866,978,528,745,804,273,
305,018,501,405,052,547,838,405,134,555,386,132,239,572,639,188,078,668,019,
416,514,952,364,319,385,078,781,384,114,613,508,410,979,355,009,187,340,593,
795,648,248,843,469,384,644,324,960,712,465,026,344,485,937,894,599,144,720,
731,672,022,830,080,244,264,814,758,761,599,311,668,617,273,780,204,683,214,
832,185,608,426,652,069,105,757,431,257,128,894,699,754,139,900,452,059,112,
167,533,135,587,384,602,379,689,158,948,195,005,362,350,289,908,207,971,490,
224,981,269,041,670,975,922,405,863,083,952,710,017,611,268,663,345,669,396,
205,244,173,392,917,332,688,201,952,878,809,491,645,491,911,791,985,194,747,
375,027,769,087,764,282,772,256,393,281,182,414,531,113,661,211,042,395,002,
136,588,534,674,580,586,734,690,156,033,323,709,633,538,415,814,954,707,960,
953,429,932,272,339,874,276,608,926,080,038,025,827,487,430,117,684,822,289,
359,795,823,790,997,619,664,219,847,801,354,785,778,839,892,281,868,563,803,
019,379,015,716,250,188,136,316,001,011,822,694,532,082,151,213,470,315,890,
356,967,315,195,567,341,145,103,926,366,602,621,863,874,636,832,155,077,048,
447,101,972,918,460,024,779,212,369,964,531,067,734,514,033,024,015,974,685,
691,900,312,663,103,819,358,467,090,515,805,189,471,447,823,310,970,082,566,
184,538,077,254,525,468,400,931,494,227,453,645,821,282,009,829,652,108,613,
018,101,629,320,253,395,798,248,005,224,428,054,897,124,343,028,296,194,950,
978,268,308,917,884,426,354,206,816,692,366,622,100,289,903,368,722,176,688,
488,697,414,248,542,781,893,677,833,634,156,914,552,504,309,964,582,931,599,
485,140,802,139,094,191,569,959,238,648,527,990,334,482,856,404,333,376,262,
783,369,130,665,992,451,831,258,036,264,892,331,486,445,902,409,856,563,233,
304,880,630,924,797,230,771,715,205,648,904,497,727,360,621,423,504,120,459,
465,267,717,064,581,086,031,613,528,087,806,273,075,106,928,780,855,548,089,
062,483,141,582,443,929,016,357,915,689,488,470,776,595,413,836,678,892,766,
241,932,087,255,881,153,631,018,044,828,423,451,953,141,496,707,287,772,626,
329,852,777,558,879,340,013,662,353,248,891,184,278,005,993,882,032,545,343,
574,957,553,875,002,495,784,824,441,732,456,865,884,660,092,099,284,668,535,
299,473,133,981,102,931,193,732,041,811,062,483,604,593,521,737,085,935,010,
954,478,768,604,669,115,488,422,195,690,531,997,111,290,131,572,408,616,190,
543,372,525,105,120,337,026,996,085,359,193,126,455,908,645,794,403,593,423,
003,705,531,886,937,273,822,107,160,039,427,614,005,214,306,541,142,824,536,
172,773,267,748,440,955,720,944,176,672,441,384,938,046,005,260,639,450,091,
749,102,833,133,551,703,092,527,941,664,401,110,938,587,759,194,665,743,782,
612,723,989,249,603,952,211,745,102,637,382,178,992,595,681,426,333,626,781,
224,419,602,820,178,695,262,109,615,030,501,031,534,365,962,555,568,439,129,
378,648,794,092,258,405,287,397,097,508,484,028,605,576,851,085,684,480,596,
980,119,975,961,085,903,214,963,450,986,564,010,258,180,162,380,631,964,180,
506,658,447,615,469,122,820,527,571,114,546,384,490,927,930,114,207,294,195,
987,977,219,458,605,251,619,754,383,031,775,514,242,202,380,996,030,536,624,
968,081,364,178,014,769,843,329,146,022,663,121,566,415,126,681,716,855,543,
088,110,392,509,482,824,184,495,309,983,347,595,343,809,725,397,016,086,726,
841,785,509,111,863,442,233,094,367,672,924,153,598,180,584,514,197,932,515,
708,726,564,319,912,094,273,002,980,610,953,539,745,918,168,517,447,654,947,
576,622,823,431,657,255,392,899,270,453,155,630,103,779,022,789,580,528,577,
843,154,990,825,799,083,646,763,427,824,661,234,594,770,557,469,375,294,172,
830,073,795,821,077,851,771,253,904,947,084,299,035,255,888,499,983,694,065,
004,748,365,931,855,515,620,701,813,638,527,598,466,626,257,346,151,020,340,
454,233,648,309,171,733,450,283,784,138,656,424,671,227,354,478,490,090,639,
850,864,830,965,750,194,792,712,513,481,031,830,841,833,393,967,626,807,839,
927,622,047,821,470,954,296,700,581,310,636,686,895,192,044,591,831,833,476,
716,202,539,400,975,347,538,154,259,185,768,338,339,674,574,424,302,855,891,
983,981,106,258,711,802,193,637,366,795,115,288,285,512,045,185,403,087,850,
538,135,536,588,056,816,291,024,174,916,735,147,197,400,800,435,722,111,539,
801,791,611,082,641,068,318,277,782,973,099,666,025,804,167,803,370,175,463,
214,525,762,153,547,890,494,318,968,259,803,248,866,257,111,992,628,869,786,
997,050,912,147,370,958,069,791,926,756,068,415,964,428,839,498,044,798,455,
515,492,692,256,727,140,697,610,119,846,626,375,968,594,482,979,863,088,708,
542,181,345,927,619,226,871,242,849,522,733,192,921,419,909,864,261,362,166,
272,564,339,215,016,313,703,420,229,961,472,957,569,884,754,922,195,967,599,
106,978,512,637,233,738,356,549,334,572,613,025,888,082,152,085,521,136,923,
420,325,463,808,525,558,585,982,534,516,932,451,304,325,101,800,791,327,531,
825,611,253,911,166,122,727,538,348,691,321,354,876,737,787,992,503,983,666,
285,438,355,136,848,654,757,314,539,345,623,076,557,943,737,276,143,757,384,
273,030,841,354,340,903,118,006,610,777,619,023,090,998,817,184,938,912,729,
893,644,298,198,517,299,763,266,284,535,883,796,531,660,177,426,597,159,208,
800,430,471,049,833,940,758,398,311,486,994,235,996,947,913,862,684,018,889,
860,214,612,260,971,904,196,328,819,216,344,356,478,371,206,770,637,655,199,
095,101,161,896,757,178,730,545,915,493,488,740,275,617,815,631,224,172,971,
614,464,935,079,482,268,248,346,153,068,671,729,806,087,375,796,293,216,391,
427,077,351,180,290,004,544,078,851,927,479,173,892,023,910,106,253,974,515,
736,009,680,693,925,263,758,840,398,294,386,030,218,195,931,471,171,014,447,
356,718,947,373,660,449,507,698,830,988,716,481,308,718,434,882,845,807,125,
843,797,577,630,832,835,497,400,497,412,456,153,851,159,693,662,278,321,337,
392,310,422,075,149,420,712,320,754,833,493,980,625,415,816,739,327,183,656,
593,869,221,271,421,689,056,255,377,537,049,132,633,232,034,980,755,000,507,
533,103,339,439,503,417,516,562,709,624,832,404,374,718,031,890,166,288,569,
324,410,924,912,318,558,005,434,282,399,236,119,812,723,465,568,265,808,898,
816,378,731,102,084,816,445,971,957,107,855,844,668,767,302,421,043,156,110,
412,377,077,980,076,336,986,477,796,706,302,543,623,188,816,685,429,855,895,
470,533,321,092,590,814,933,564,083,463,253,620,389,583,234,039,478,601,386,
673,359,166,788,693,869,568,493,845,560,657,065,219,579,006,212,782,766,556,
831,753,523,606,683,668,022,589,766,107,906,785,695,737,975,192,138,134,796,
165,480,992,608,418,254,404,321,668,935,645,212,514,824,852,286,875,584,061,
069,991,996,020,858,518,900,685,993,666,340,681,528,013,830,862,275,217,611,
622,655,442,155,559,920,283,723,365,136,605,234,069,122,917,430,798,943,757,
758,939,139,567,850,902,989,296,298,395,276,364,224,812,564,335,287,870,766,
532,008,595,684,093,362,724,733,704,338,378,084,053,712,544,035,639,276,022,
909,681,860,944,423,267,845,998,868,599,031,769,306,418,907,012,772,107,074,
196,422,140,317,888,740,252,550,196,010,233,365,743,314,089,624,128,333,867,
825,995,283,909,654,141,801,965,152,168,196,192,639,545,656,114,540,326,259,
137,813,867,229,830,690,192,021,443,199,020,500,161,587,810,476,405,162,956,
479,938,626,139,179,502,126,063,655,538,232,616,066,532,266,926,640,711,517,
904,546,437,872,714,807,045,800,686,587,464,600,898,861,579,459,505,303,973,
938,783,842,002,924,223,622,351,877,815,523,465,089,755,294,682,229,535,744,
973,680,439,009,043,963,123,846,599,952,289,601,411,903,135,355,745,044,459,
665,441,100,898,067,524,705,754,709,667,236,729,502,561,564,826,997,210,595,
328,652,305,745,965,431,484,844,425,981,623,788,028,862,350,671,602,047,528,
873,062,647,305,842,302,050,986,620,642,329,643,130,252,720,802,323,112,137,
801,618,267,477,085,838,402,332,378,283,830,182,983,918,200,677,300,981,821,
135,604,960,182,219,909,877,902,163,611,545,281,557,103,383,903,286,572,917,
050,674,143,573,764,733,092,876,129,710,352,034,086,679,680,623,670,141,806,
496,224,555,901,398,323,071,444,542,337,099,791,575,539,214,372,606,608,902,
892,944,803,365,666,476,782,205,790,360,536,938,106,063,771,332,212,059,721,
790,282,979,886,450,133,623,608,254,514,054,701,909,020,101,777,836,324,708,
110,432,056,660,884,910,448,879,701,489,173,595,275,374,549,789,186,591,768,
217,681,278,905,029,184,656,777,653,017,533,364,794,008,091,258,083,566,798,
738,278,341,686,033,669,968,934,546,158,862,700,687,786,016,361,198,406,025,
539,425,803,262,045,582,735,878,317,601,094,182,327,538,478,632,274,732,903,
836,753,885,726,239,989,970,053,624,266,279,633,438,723,950,679,115,175,710,
956,078,891,139,035,850,959,761,312,755,815,391,815,841,844,554,418,948,804,
674,248,527,435,966,828,914,548,733,572,400,893,357,072,983,412,668,973,069,
726,015,595,089,550,105,023,086,815,243,160,436,603,612,079,188,664,919,545,
701,426,749,081,389,921,704,149,532,947,858,705,531,943,641,223,108,231,110,
097,061,924,086,451,704,138,705,891,989,383,152,225,665,042,601,539,030,505,
892,467,156,864,781,593,214,712,539,266,834,144,082,036,396,688,000,042,749,
073,325,693,414,698,884,376,040,563,003,595,669,413,131,880,039,131,699,297,
543,298,639,645,304,884,199,642,362,695,792,386,991,687,356,693,569,595,262,
794,987,321,613,053,145,759,528,161,082,041,162,796,914,832,812,803,483,805,
835,132,523,098,434,661,083,594,639,646,135,513,286,273,649,722,886,983,506,
675,046,205,880,024,403,761,330,638,438,208,369,219,609,852,435,846,477,736,
445,650,981,287,505,189,989,866,121,198,187,465,373,122,821,289,958,873,382,
144,430,223,299,127,029,563,448,336,829,453,360,997,132,130,976,074,587,483,
692,080,106,167,781,779,976,990,468,643,115,096,424,573,019,113,373,893,904,
471,993,725,619,110,293,589,311,127,684,331,961,455,507,424,967,111,810,327,
791,287,125,841,563,003,192,857,156,800,836,560,218,908,869,636,150,968,846,
072,180,774,106,886,644,922,936,570,118,694,807,060,425,777,191,468,092,620,
481,017,341,446,906,584,809,749,571,215,116,361,107,108,368,797,386,904,367,
824,672,305,684,243,861,783,862,393,388,679,649,997,876,312,657,959,386,025,
907,971,002,777,227,774,436,890,963,276,494,815,614,684,699,086,113,338,369,
697,255,314,074,628,002,463,714,770,324,657,612,088,994,245,298,096,442,029,
257,403,676,949,644,528,956,433,847,898,762,986,927,427,223,772,926,158,916,
572,864,203,154,966,134,206,987,539,085,873,501,413,811,552,397,705,395,886,
377,863,699,070,694,296,548,140,611,185,336,227,784,319,853,310,944,333,649,
199,619,972,556,759,041,443,181,091,644,593,996,401,991,855,315,055,600,141,
731,887,431,263,669,504,703,996,933,722,742,331,061,381,925,319,826,071,255,
961,839,948,441,325,502,990,694,030,698,817,673,209,721,191,774,492,278,248,
199,482,859,962,476,790,686,604,687,739,309,754,397,080,339,059,590,038,633,
124,020,997,506,042,358,976,885,263,350,285,066,705,746,565,828,940,646,527,
075,261,064,110,635,100,408,329,282,598,325,653,626,671,109,583,825,368,084,
646,810,455,018,324,556,965,407,088,669,132,873,334,327,440,361,257,015,789,
897,600,141,278,215,314,890,821,817,180,638,640,422,663,217,446,636,856,753,
223,711,561,113,680,139,261,347,283,426,554,341,181,559,680,000,612,478,995,
001,743,628,711,486,439,511,592,469,058,384,498,874,188,737,013,462,346,687,
901,527,993,427,308,788,056,160,571,065,897,238,632,877,252,101,275,368,911,
318,214,798,826,915,512,531,519,379,247,103,120,612,130,555,235,369,342,243,
815,628,223,039,011,029,620,959,148,863,398,110,127,132,463,298,096,204,141,
217,363,286,611,341,376,509,146,708,337,200,536,762,217,182,475,156,046,317,
653,812,983,282,700,443,521,333,436,705,039,102,969,483,880,781,233,134,025,
644,070,068,654,310,183,242,720,598,746,120,146,685,349,540,109,677,478,380,
075,732,133,200,682,791,302,792,983,839,259,525,577,917,661,544,219,416,429,
649,254,620,493,935,760,430,318,353,728,363,764,553,506,851,226,062,718,564,
352,633,804,008,127,431,742,837,707,899,048,994,464,490,173,719,139,783,574,
100,114,533,002,092,082,144,507,254,499,961,670,851,100,485,600,529,392,519,
744,734,483,026,764,888,772,458,863,142,056,167,322,617,247,442,565,754,378,
816,316,359,728,497,469,623,231,116,988,236,237,535,869,231,820,996,717,610,
463,427,757,838,150,745,128,806,275,378,477,113,210,878,530,660,794,518,061,
374,372,568,076,077,166,971,819,021,782,603,597,806,423,205,045,760,017,659,
915,344,315,111,499,690,765,267,021,503,559,956,482,544,385,101,756,484,436,
256,178,010,553,247,023,027,222,160,674,569,350,518,013,742,175,271,948,047,
162,755,350,440,943,193,985,364,981,197,640,021,210,408,979,812,327,268,790,
399,110,350,789,763,890,107,950,547,295,401,032,931,606,061,805,949,553,238,
205,143,864,592,680,406,685,073,276,087,329,205,947,985,880,904,525,368,297,
359,306,216,047,017,187,335,121,566,244,145,666,346,039,028,951,209,405,823,
833,019,972,904,079,691,433,526,405,849,544,656,214,428,092,081,240,268,446,
016,917,303,163,938,368,171,667,521,467,342,564,063,760,602,376,779,632,386,
881,590,910,211,519,013,933,976,010,664,511,924,254,013,152,054,647,827,738,
490,590,727,724,078,188,681,588,591,457,888,160,692,385,237,648,397,701,056,
990,593,297,423,546,471,644,029,177,534,985,731,879,917,049,294,192,448,112,
340,787,074,439,840,348,041,150,096,539,324,723,924,521,183,383,866,204,105,
994,527,218,685,879,161,668,430,050,682,574,615,176,257,105,036,288,025,272,
792,972,949,413,076,540,805,874,550,321,658,722,105,979,215,233,024,729,944,
807,272,392,917,417,108,697,389,477,373,072,154,348,319,341,948,766,331,317,
998,967,888,354,123,313,711,935,212,223,599,830,456,195,039,624,449,276,880,
737,378,407,093,786,300,979,429,594,660,111,608,146,399,813,702,029,763,651,
785,758,510,271,840,923,312,093,076,227,701,384,753,011,170,248,283,531,556,
072,679,404,145,372,679,243,098,066,079,350,368,920,672,491,973,391,441,614,
559,668,438,057,019,137,083,820,146,871,687,054,001,683,882,804,284,361,354,
560,096,253,130,904,075,278,358,443,996,685,552,226,795,621,367,595,233,123,
085,354,894,569,630,337,522,927,249,372,395,522,836,523,376,776,702,594,320,
849,648,585,959,019,365,211,656,995,179,584,201,350,470,499,298,804,110,130,
510,355,838,738,275,701,395,821,894,672,772,223,575,673,233,043,794,225,196,
889,434,201,527,465,889,245,972,667,733,392,494,011,032,931,599,169,302,244,
087,766,072,974,861,244,428,936,234,821,435,123,784,841,713,326,981,390,528,
208,472,857,525,265,489,394,041,580,563,986,575,229,463,829,726,876,362,806,
823,631,867,825,893,855,644,562,267,684,160,081,606,617,211,331,100,040,878,
279,325,516,990,342,390,145,934,895,463,263,822,432,083,666,142,245,627,743,
447,670,271,696,790,868,710,061,403,448,807,900,376,907,403,638,318,752,974,
938,142,349,064,450,079,298,627,758,490,696,267,431,966,878,763,028,522,547,
026,790,483,621,367,575,294,460,785,342,668,293,845,838,189,571,965,598,710,
497,651,595,035,830,955,601,766,821,876,874,263,083,112,409,601,634,522,785,
796,867,334,281,658,660,980,728,279,215,802,768,926,609,891,327,840,767,176,
361,111,833,186,069,173,713,173,153,852,491,122,365,685,542,498,674,460,114,
963,451,549,628,337,327,015,203,971,900,719,866,064,255,281,449,910,963,957,
080,530,717,237,253,333,647,598,029,202,053,662,605,655,372,886,149,072,018,
213,993,326,674,673,407,409,155,285,074,564,126,966,153,998,035,990,390,422,
187,162,068,998,187,446,798,543,163,069,732,278,090,504,777,612,936,586,685,
226,002,218,124,406,293,649,847,378,034,471,104,794,644,388,408,731,155,425,
115,030,746,849,879,723,518,576,604,784,431,723,246,396,946,359,374,626,180,
893,745,864,873,595,121,147,306,595,885,592,286,335,588,852,800,529,468,474,
471,310,187,180,487,878,093,495,249,478,732,244,877,141,595,075,744,233,483,
867,455,164,559,038,828,325,327,697,559,139,978,368,385,339,856,837,007,701,
016,701,375,101,692,494,636,027,216,238,432,643,405,252,005,766,365,714,167,
443,016,210,834,547,612,459,953,649,168,030,785,628,424,931,128,266,995,564,
192,313,557,416,422,891,537,900,207,615,172,892,350,676,074,019,490,838,241,
731,107,639,871,423,010,687,767,527,468,349,506,172,110,094,353,017,885,449,
360,037,476,677,039,941,666,138,804,815,125,819,452,907,022,340,862,002,501,
149,386,848,506,754,803,402,671,776,140,345,841,670,237,673,035,156,715,406,
324,288,983,467,026,824,756,448,880,137,436,801,706,854,552,374,151,765,125,
163,553,897,870,072,621,822,128,012,439,497,502,502,058,301,101,347,805,595,
076,189,667,500,952,002,387,258,230,574,176,178,816,030,062,409,165,576,148,
893,088,159,435,012,471,348,640,179,609,757,724,737,040,081,538,609,691,880,
332,558,555,972,719,688,430,682,184,281,060,953,224,957,228,394,527,751,107,
552,783,999,108,442,005,795,089,341,329,996,766,520,889,631,489,082,096,545,
722,666,778,923,192,341,955,366,687,834,187,072,301,698,027,635,754,468,656,
070,854,623,990,093,404,386,094,933,303,754,513,385,940,425,524,461,175,480,
883,049,369,291,447,191,124,255,399,517,920,149,062,991,506,661,857,259,711,
769,988,208,635,149,339,452,195,058,047,441,181,599,018,872,601,173,272,175,
596,331,894,802,076,717,035,777,821,911,978,657,359,697,499,997,643,132,553,
049,249,590,781,094,308,648,424,847,196,808,562,912,019,267,101,918,247,796,
399,470,236,909,046,009,505,232,677,193,952,899,021,064,923,516,517,500,011,
909,279,067,575,322,829,798,298,605,053,504,141,237,720,983,613,532,109,482,
874,499,055,727,188,708,720,060,295,656,495,471,971,234,423,541,709,863,188,
772,283,342,930,780,455,973,606,088,029,930,320,723,729,159,900,643,296,688,
727,329,938,773,433,985,757,116,707,899,439,891,916,583,468,574,574,761,585,
400,245,777,565,220,598,875,752,480,703,527,885,771,027,271,575,646,267,963,
873,268,290,534,099,233,310,579,143,669,251,140,843,972,276,588,385,239,094,
511,554,098,568,723,530,467,977,107,593,121,430,306,576,186,699,213,271,871,
351,102,092,193,715,261,645,093,408,586,179,687,152,156,605,993,515,801,867,
709,771,038,209,700,980,146,820,649,740,262,897,719,269,488,825,157,249,764,
773,580,323,561,224,596,575,191,341,185,640,475,265,239,254,986,760,066,059,
476,103,354,989,282,341,499,767,597,911,660,457,074,399,708,239,781,687,091,
067,528,332,433,480,364,520,875,268,915,098,321,082,409,437,461,278,006,765,
557,380,739,751,884,547,941,361,703,241,209,072,125,002,838,226,566,792,818,
269,046,239,446,201,893,903,356,546,540,690,707,889,485,166,020,356,498,509,
455,994,256,590,221,147,953,356,197,237,621,921,638,485,417,442,642,261,905,
128,316,130,350,357,464,279,361,891,232,949,764,997,486,843,760,113,362,932,
932,488,423,089,451,587,336,717,589,198,645,602,510,036,657,627,544,676,126,
683,794,103,161,316,111,008,325,281,387,556,229,109,095,123,144,986,184,248,
007,184,545,885,392,356,377,836,529,004,036,141,450,591,424,043,220,117,070,
680,349,753,235,066,483,638,941,659,596,831,382,529,964,872,759,089,542,014,
049,083,268,123,257,726,732,018,905,547,670,979,628,736,445,828,951,374,777,
217,065,227,651,274,505,860,327,660,360,403,955,384,040,830,369,099,421,858,
864,891,569,414,748,368,967,288,335,753,198,581,134,078,419,780,462,344,711,
277,526,345,429,343,825,135,502,391,658,038,206,266,132,573,581,492,900,594,
594,999,081,832,810,549,276,407,054,758,107,856,521,572,167,617,812,192,931,
868,533,539,940,097,084,617,558,181,995,015,712,492,893,846,831,377,041,368,
204,708,624,356,529,575,525,774,322,746,411,811,840,284,788,036,289,251,909,
763,664,540,716,010,092,238,818,924,080,499,071,266,668,974,241,163,388,734,
481,399,116,787,157,991,047,119,799,664,122,186,746,958,291,618,587,977,315,
289,444,662,868,951,691,729,083,496,756,626,360,811,672,880,071,847,498,730,
405,316,752,686,846,994,591,987,815,924,030,794,772,498,118,754,298,590,165,
095,161,363,091,298,482,441,263,594,472,437,308,015,770,879,734,428,101,038,
315,382,867,908,790,366,962,374,700,922,555,209,673,126,910,750,742,622,139,
015,276,947,320,656,872,421,850,582,014,577,132,878,704,363,575,285,053,218,
334,913,015,661,418,955,662,673,926,152,683,796,629,085,577,930,195,002,608,
770,224,226,438,881,448,014,985,941,825,435,021,635,106,830,268,667,891,731,
246,583,316,641,274,276,046,384,590,640,502,785,370,321,063,495,141,567,196,
586,732,949,663,573,068,424,783,114,133,790,378,991,347,416,847,894,304,503,
138,727,545,057,122,324,896,468,145,358,899,648,695,729,221,083,452,377,376,
907,023,074,501,070,436,072,584,497,646,895,981,418,468,852,255,474,267,808,
270,363,567,477,844,460,982,390,379,769,765,687,173,175,463,369,198,385,121,
850,511,720,276,778,669,772,358,208,569,766,843,776,748,416,152,829,436,773,
199,155,668,806,491,521,511,705,621,264,195,152,954,093,577,971,792,512,703,
478,870,635,053,769,382,000,790,268,072,113,046,630,466,923,456,857,728,738,
315,619,238,467,636,355,680,880,723,627,183,690,597,144,287,015,389,173,926,
750,864,647,058,746,511,474,627,562,958,852,867,765,821,282,369,506,957,643,
564,565,628,576,697,551,118,597,309,104,254,602,290,301,704,377,327,323,103,
943,748,647,141,062,477,359,732,747,174,667,651,459,379,713,882,502,491,475,
801,892,792,506,309,025,953,950,984,313,663,712,046,207,218,078,879,423,092,
847,208,155,229,894,173,131,386,752,081,556,014,157,006,043,496,537,825,846,
875,451,450,586,986,245,729,170,229,910,339,969,272,591,156,341,856,307,871,
637,398,301,179,812,959,589,191,903,272,752,233,046,433,160,217,983,880,547,
911,771,470,655,702,529,150,815,889,870,928,525,303,309,027,314,968,639,835,
909,784,061,266,470,911,834,254,029,252,435,900,274,120,331,437,221,906,955,
261,199,404,957,389,131,776,500,987,840,918,403,353,650,016,213,300,762,996,
062,738,082,979,422,509,843,617,133,358,402,096,125,980,681,580,690,912,849,
418,760,967,481,129,110,921,775,918,843,862,946,967,523,990,823,434,003,637,
474,304,805,951,728,091,180,193,886,722,572,294,038,225,154,745,908,117,570,
374,352,738,425,391,875,358,158,175,670,447,053,604,136,308,415,248,288,356,
188,030,620,402,248,533,551,114,456,603,399,127,144,383,501,539,491,177,412,
672,729,588,621,337,604,851,083,747,206,226,614,163,662,379,935,394,817,996,
458,541,827,872,904,414,186,526,691,684,268,132,076,560,723,007,877,614,168,
380,149,726,930,835,900,962,599,133,878,913,735,045,368,134,578,335,908,634,
409,669,867,630,497,336,964,460,754,663,086,391,917,948,537,112,048,235,684,
753,333,808,354,866,222,662,090,682,035,334,456,317,870,458,459,135,879,729,
763,479,024,167,209,864,094,156,999,382,251,294,289,873,347,136,963,117,435,
203,316,463,838,523,976,250,060,325,433,969,181,579,189,637,037,084,241,063,
656,086,659,267,919,005,725,556,648,954,801,122,106,255,833,705,150,020,187,
040,559,768,064,483,727,883,625,005,860,900,965,937,301,715,612,694,808,717,
742,604,402,488,976,683,143,391,739,870,753,794,233,133,068,564,331,548,780,
722,827,179,869,222,731,722,358,419,965,772,660,897,073,844,084,014,336,088,
459,700,204,612,159,225,878,263,447,475,427,379,798,983,753,129,119,507,232,
217,422,839,563,000,033,336,486,564,391,256,802,456,631,601,854,659,102,345,
987,114,236,636,950,838,983,583,735,453,177,360,944,192,444,791,103,889,865,
799,791,538,720,818,940,953,286,647,156,877,154,501,361,641,191,041,890,501,
357,120,168,892,032,205,865,533,660,511,789,916,348,508,701,292,527,273,155,
930,366,117,197,739,432,736,754,097,403,377,079,099,779,300,280,480,472,707,
087,913,604,193,209,770,671,191,881,855,217,294,668,313,460,045,961,179,711,
006,903,378,394,074,167,921,845,791,884,342,242,670,944,220,062,495,192,352,
521,143,307,010,854,575,389,900,389,133,069,825,893,359,030,830,634,330,279,
243,880,107,128,356,148,998,603,479,796,345,804,150,888,822,162,468,500,235,
081,322,314,962,644,444,905,577,198,744,785,705,299,662,753,881,233,683,550,
569,486,155,867,700,283,382,715,378,192,534,349,734,105,734,367,049,432,129,
633,170,576,818,298,712,745,862,709,377,857,196,132,182,757,215,988,324,279,
266,866,244,593,117,014,666,951,290,716,746,625,081,651,359,763,025,701,259,
230,373,670,511,983,449,412,694,609,618,541,711,560,086,819,348,176,323,987,
423,252,957,136,912,736,194,071,882,248,645,046,518,867,883,957,118,495,820,
135,128,831,440,979,761,943,913,148,034,715,133,850,112,115,000,380,783,176,
884,780,576,363,879,966,935,279,931,947,676,147,151,615,297,827,300,808,795,
829,524,303,478,444,864,793,158,051,123,589,695,964,146,418,099,884,817,751,
785,259,764,174,445,291,354,493,664,457,911,053,632,867,568,465,879,830,110,
014,366,247,296,161,225,681,357,360,627,378,737,157,456,588,003,986,965,101,
408,025,622,907,674,922,737,017,960,290,990,454,338,266,206,170,125,251,933,
901,377,165,370,578,925,881,570,203,580,069,888,938,978,941,998,735,228,583,
613,354,194,548,878,981,621,520,924,155,777,520,238,632,261,897,082,064,257,
989,936,756,548,726,123,277,100,119,218,284,425,611,148,741,794,124,705,545,
615,989,275,919,028,988,291,862,136,759,074,515,354,346,085,589,624,374,224,
289,954,747,528,675,859,957,574,383,647,691,979,440,718,835,876,644,213,921,
571,655,040,006,562,759,892,900,996,943,524,817,511,120,122,532,466,190,931,
203,241,191,715,999,704,400,156,837,761,672,977,219,007,592,740,179,058,651,
802,359,343,678,078,501,599,505,841,913,194,883,470,006,776,733,579,253,947,
094,327,397,578,648,929,395,759,180,361,731,402,222,338,152,440,167,677,699,
786,177,468,929,276,312,670,771,952,540,682,022,007,236,830,309,434,251,187,
327,471,962,570,965,994,823,435,685,221,148,192,957,645,489,469,926,883,110,
598,347,769,078,111,860,161,753,396,933,139,499,507,618,971,033,748,680,068,
377,136,947,258,631,823,301,642,759,487,793,270,369,121,522,490,460,628,931,
947,578,105,572,832,709,326,438,931,317,776,779,246,848,289,120,444,712,170,
682,275,171,375,165,398,877,620,738,215,918,523,615,765,571,823,821,997,145,
115,265,057,049,863,078,763,803,547,960,257,990,645,201,490,650,455,547,072,
530,899,624,370,397,126,061,560,574,768,482,885,925,850,499,539,370,707,554,
267,633,322,682,719,725,199,093,361,979,346,351,599,729,861,618,427,629,266,
965,690,934,895,769,686,327,472,907,365,191,773,359,769,130,865,025,093,634,
253,405,510,229,365,033,625,798,622,244,568,989,039,171,239,048,472,383,082,
677,995,722,324,654,408,936,772,950,070,551,438,553,875,304,574,176,227,130,
027,256,023,036,979,308,090,695,543,111,950,931,901,310,616,683,774,587,399,
455,294,550,290,394,409,406,542,718,222,520,258,006,290,190,994,786,928,691,
795,128,265,495,087,390,924,545,815,978,881,738,411,270,695,910,467,287,923,
392,312,444,746,641,998,803,880,192,676,638,865,656,095,783,518,988,159,656,
765,215,827,153,914,095,450,686,605,084,708,458,546,011,315,439,121,585,903,
647,988,223,527,781,003,777,472,005,538,104,962,500,908,853,260,141,938,965,
867,651,391,842,575,208,916,643,123,638,229,693,902,317,014,301,510,552,830,
983,292,932,915,628,594,249,688,314,691,931,426,866,154,496,707,121,366,301,
397,088,752,848,491,684,816,986,264,680,451,375,242,283,376,893,162,738,869,
142,999,008,415,565,061,700,372,900,139,099,145,839,862,069,669,860,785,665,
204,976,408,199,122,371,646,787,641,721,061,940,937,476,674,558,907,531,874,
086,996,525,707,427,538,279,542,570,747,703,889,685,232,357,296,468,334,252,
269,540,198,058,636,540,023,267,532,387,430,826,456,060,053,215,527,800,992,
684,028,089,926,101,402,927,193,422,514,037,112,602,547,014,343,674,712,473,
400,467,764,510,860,840,598,327,290,964,260,047,438,217,752,135,198,185,667,
984,945,276,736,430,359,428,403,448,343,360,511,846,647,165,564,463,384,636,
276,157,111,550,008,617,309,882,164,961,450,208,474,486,352,640,219,647,511,
699,444,438,775,254,538,112,274,384,702,807,596,301,053,000,832,970,641,248,
308,190,771,103,749,196,219,131,743,822,630,486,525,284,385,598,428,495,130,
009,905,677,987,453,327,736,442,266,010,980,003,512,910,189,823,866,881,891,
300,168,950,623,157,261,747,015,428,702,164,236,906,180,170,220,735,185,726,
147,507,708,221,578,561,389,703,455,311,187,841,858,242,305,047,705,664,990,
377,617,187,662,168,059,301,582,429,185,231,170,522,419,024,644,071,476,104,
403,996,447,275,827,550,522,689,415,627,623,627,104,575,337,316,363,097,655,
459,818,927,537,673,261,419,398,081,214,449,635,400,521,994,867,110,805,280,
928,891,657,228,991,467,451,194,433,557,473,552,709,232,325,264,081,573,724,
420,975,370,155,302,525,906,534,018,048,995,092,936,051,469,026,079,433,479,
957,054,709,281,980,891,199,860,739,586,850,700,823,878,068,556,809,327,404,
443,659,771,069,744,126,541,145,180,752,497,283,779,225,369,369,845,678,620,
799,854,589,630,480,049,244,361,681,531,041,900,990,470,563,916,580,296,207,
089,001,315,469,589,874,550,322,163,338,859,599,086,642,520,790,772,767,936,
443,712,464,098,745,151,402,892,781,253,526,436,920,487,277,509,365,033,217,
675,750,911,872,156,757,418,650,608,203,580,522,959,656,935,492,192,717,682,
315,237,926,867,584,878,026,275,212,871,462,755,206,081,695,810,859,312,567,
010,350,416,243,053,755,514,099,449,423,258,097,089,633,598,568,212,249,209,
244,871,622,231,512,945,016,723,566,123,523,844,303,903,976,113,555,585,422,
649,703,875,582,177,325,840,012,108,220,557,801,595,525,860,316,322,268,344,
465,043,105,694,903,429,398,605,140,234,941,982,500,892,269,429,414,253,397,
316,885,817,772,018,205,142,937,877,177,502,268,802,259,715,082,811,740,634,
224,767,700,652,915,594,540,062,639,894,926,493,309,660,428,582,200,207,459,
323,843,504,301,296,433,667,383,445,689,562,392,591,950,210,866,714,354,152,
210,781,534,789,281,060,310,322,609,881,800,233,229,415,089,456,595,325,777,
645,482,668,663,219,358,824,603,399,582,799,934,156,142,010,514,502,957,161,
719,739,488,477,395,733,607,860,281,493,091,678,471,986,403,784,596,259,915,
993,345,902,807,000,227,873,311,978,990,002,679,712,669,627,816,491,058,044,
445,471,061,009,151,901,249,295,895,629,697,539,863,881,313,693,866,964,082,
821,974,447,867,199,944,817,090,819,014,938,557,926,757,187,354,795,921,262,
293,227,417,570,552,364,995,975,126,953,512,297,673,166,245,144,706,487,960,
394,464,390,225,779,605,646,655,448,519,028,657,820,616,138,904,208,020,838,
485,810,176,287,069,997,000,197,449,212,752,423,513,209,041,317,814,691,576,
651,469,788,139,108,088,904,118,565,272,495,441,916,454,026,277,107,872,063,
828,435,543,245,564,981,236,816,380,117,082,964,966,025,064,945,175,949,169,
014,293,171,993,578,459,299,659,780,162,516,184,826,222,561,094,772,106,238,
160,736,381,296,592,037,486,593,359,042,981,668,567,445,941,132,023,985,174,
020,932,874,856,877,493,470,260,137,542,210,225,495,828,146,962,938,275,606,
432,431,517,398,971,650,730,266,878,823,708,629,061,451,168,063,490,667,301,
894,491,534,912,193,541,890,806,033,316,657,284,450,403,229,977,714,745,286,
406,039,896,208,365,724,385,626,781,799,754,657,258,651,635,760,492,942,444,
967,745,309,134,650,966,934,764,438,975,175,160,703,471,660,466,669,268,473,
104,558,728,135,676,176,737,944,153,816,057,189,547,585,982,028,848,094,458,
035,597,720,564,913,159,939,583,608,404,394,855,340,499,063,459,059,408,421,
754,699,297,206,413,439,974,406,511,933,520,332,402,299,724,371,257,364,429,
158,839,312,016,419,493,586,054,104,020,756,902,406,676,123,908,012,871,169,
700,993,880,976,540,750,236,985,879,571,160,461,957,129,039,165,032,054,316,
108,860,784,172,213,076,802,805,571,778,484,769,444,821,517,492,846,573,865,
471,988,198,620,917,728,289,544,499,953,287,702,205,060,724,098,532,679,978,
325,899,268,258,897,780,820,301,790,590,416,678,710,592,991,962,565,669,213,
617,298,836,488,939,371,795,959,294,038,741,701,496,883,076,230,307,412,808,
453,835,138,099,364,740,196,881,339,449,734,438,265,074,462,083,124,632,170,
882,350,178,280,842,937,105,435,563,486,602,664,117,408,230,302,639,429,773,
456,310,606,068,593,743,730,832,965,474,863,740,655,299,668,572,007,370,985,
164,990,190,248,235,304,869,371,745,039,201,086,405,256,750,907,895,892,318,
692,250,212,801,297,226,847,985,891,450,964,849,072,562,586,318,002,023,410,
402,419,313,091,722,587,716,337,007,163,877,846,763,373,437,525,750,480,071,
929,656,082,355,365,352,342,111,315,414,231,547,363,584,395,124,786,656,455,
564,281,428,953,254,774,732,161,757,975,935,699,086,645,890,798,503,870,071,
241,429,136,257,881,090,108,088,377,619,598,089,787,386,695,959,086,932,324,
480,216,081,213,936,100,700,806,723,889,895,275,902,536,294,983,902,066,989,
590,670,359,871,068,404,871,372,638,507,740,115,236,998,761,850,806,665,082,
400,157,434,891,542,986,530,935,086,360,131,884,273,189,978,932,626,488,811,
452,345,713,675,620,896,139,067,934,727,358,989,823,437,554,144,853,097,510,
115,126,128,346,548,648,918,723,308,487,754,975,158,718,686,578,999,733,367,
140,339,860,982,057,487,644,805,017,084,741,934,611,609,703,730,415,798,710,
101,392,058,975,166,584,788,375,296,050,193,981,986,037,259,046,924,859,256,
261,549,902,302,356,870,989,959,550,767,566,701,333,512,732,189,866,247,673,
310,765,244,633,444,606,422,340,178,334,509,929,812,704,572,260,252,650,281,
570,845,087,227,366,831,207,110,895,018,373,524,673,957,634,775,900,015,762,
837,120,406,687,962,451,722,778,853,368,978,844,219,571,795,782,001,377,448,
551,567,395,045,126,983,907,305,499,269,126,193,683,834,702,152,287,314,620,
927,918,830,667,346,347,125,047,469,332,654,183,134,057,658,848,853,099,255,
769,867,689,519,330,514,910,392,695,808,749,028,839,832,519,941,842,051,184,
076,466,339,473,767,698,252,992,218,706,360,468,675,047,349,853,679,437,011,
978,538,377,698,888,580,368,000,803,981,993,066,604,728,038,362,713,333,970,
137,596,211,498,885,106,427,057,835,810,696,222,534,435,884,876,786,683,616,
229,528,687,549,511,409,625,143,110,232,181,723,623,079,365,869,562,996,823,
603,475,855,456,131,791,008,355,687,538,259,249,042,797,544,290,903,834,694,
970,777,364,770,558,647,114,570,552,840,802,022,410,121,350,033,897,296,208,
599,760,395,303,996,642,987,442,164,225,498,714,783,367,321,603,268,114,920,
933,199,271,836,097,269,408,101,615,651,308,524,879,517,321,533,967,963,745,
622,312,511,148,874,993,839,872,459,946,886,040,765,387,916,756,847,880,797,
484,681,577,617,569,053,496,411,900,916,678,664,147,155,623,910,080,020,822,
901,556,356,171,307,788,798,741,521,936,170,170,391,214,333,877,649,162,572,
652,430,645,818,363,178,324,562,742,825,173,461,399,206,309,573,880,024,138,
175,279,331,632,241,680,181,924,163,550,436,425,414,816,517,721,815,104,455,
077,583,977,153,484,934,257,551,528,176,225,750,642,597,496,741,621,711,212,
210,860,834,035,452,480,480,815,932,590,094,494,382,119,320,832,414,784,239,
571,334,966,561,781,321,881,122,490,096,849,802,411,027,563,553,394,532,704,
087,912,799,333,996,225,946,751,733,789,659,380,414,770,070,528,321,794,558,
614,648,655,322,195,293,295,654,352,508,612,940,819,487,869,219,471,857,953,
324,557,923,293,739,436,350,438,464,023,899,900,110,751,515,663,181,787,735,
439,418,570,678,844,992,158,964,798,495,537,273,807,205,239,891,796,738,803,
202,014,766,298,542,183,375,932,022,056,289,769,125,309,335,720,415,160,187,
821,921,062,717,209,981,185,977,423,248,830,064,361,667,743,549,821,073,216,
691,571,037,414,406,566,666,418,125,103,464,502,089,957,446,710,748,911,345,
296,252,526,953,869,025,944,778,455,473,910,608,891,933,407,596,038,950,579,
524,595,113,709,901,661,162,516,441,524,020,265,247,125,268,893,492,210,035,
356,235,751,070,617,301,615,273,243,783,246,149,441,283,368,753,267,815,659,
179,382,807,627,175,598,456,264,129,471,518,248,238,635,243,753,074,646,904,
893,142,866,199,411,445,900,056,833,924,699,725,734,133,009,078,156,228,607,
203,320,892,643,858,842,236,356,116,260,863,737,202,173,940,170,118,765,003,
573,781,141,579,799,525,525,492,544,753,113,329,401,943,689,864,820,587,625,
652,614,304,575,867,379,472,564,265,245,261,009,910,114,057,393,223,859,345,
491,177,216,600,904,889,736,599,326,818,463,404,802,958,455,896,458,910,568,
845,324,148,311,085,977,482,964,089,867,456,994,230,631,089,313,242,656,756,
233,008,964,317,892,519,346,570,996,553,238,127,404,878,870,878,483,889,422,
115,694,811,109,716,263,079,385,157,154,067,774,468,165,368,212,131,007,467,
171,211,361,784,260,235,674,777,511,619,244,737,274,414,213,170,574,289,084,
265,037,735,045,997,960,616,457,701,818,373,139,862,017,864,863,955,237,857,
595,445,354,138,922,537,314,163,885,387,664,914,163,705,064,203,506,118,067,
589,260,578,259,417,738,090,221,748,907,401,461,102,192,671,509,990,432,939,
176,259,141,596,430,812,781,523,448,207,245,948,994,689,827,436,358,597,192,
462,014,717,640,992,199,320,607,971,418,441,127,846,099,264,073,483,665,338,
338,611,759,075,189,498,311,548,937,475,531,383,470,535,284,064,448,801,482,
646,720,315,729,600,062,919,252,365,695,183,849,781,285,670,254,255,790,466,
144,624,414,732,248,333,426,129,825,641,063,690,322,461,034,852,409,297,645,
613,639,234,424,398,283,151,911,891,822,914,465,493,131,170,084,094,107,885,
714,412,276,674,830,933,161,215,943,424,674,216,204,382,544,502,244,701,361,
869,484,118,655,748,726,374,386,737,611,517,551,061,866,932,878,073,082,586,
167,709,422,344,745,519,359,144,582,889,230,275,360,749,456,404,993,923,637,
891,896,041,344,634,406,403,024,612,052,220,700,000,921,216,746,988,098,841,
675,653,338,973,738,215,529,494,868,320,282,228,225,857,481,432,520,289,527,
529,061,900,060,188,666,742,626,154,436,677,896,744,965,406,382,948,854,471,
045,763,615,983,278,358,945,171,836,095,045,101,806,198,369,313,823,961,408,
964,638,891,750,783,482,589,565,104,329,598,404,997,999,374,869,095,203,725,
780,288,385,059,566,111,711,696,454,673,078,102,772,686,057,262,279,649,858,
994,082,371,088,098,848,490,652,124,969,030,702,142,537,147,172,824,489,570,
499,654,914,675,307,121,855,251,433,808,039,965,682,598,238,533,203,406,411,
133,134,061,048,272,507,173,869,866,165,147,387,766,838,120,460,191,152,268,
737,290,826,776,303,669,605,878,751,641,067,077,937,121,862,988,022,792,882,
850,997,518,322,028,419,181,264,377,277,780,466,893,346,035,503,017,431,041,
486,312,871,861,361,010,893,187,078,930,161,695,374,758,329,695,982,725,951,
264,679,077,731,060,730,225,395,824,809,332,605,660,402,416,878,616,812,053,
505,699,416,018,531,990,696,634,430,080,911,617,313,545,518,778,962,241,835,
611,947,960,675,730,710,327,082,626,728,326,179,757,944,534,274,071,860,383,
502,328,047,819,463,939,813,331,044,583,396,585,340,489,706,093,692,397,312,
978,419,241,718,529,662,000,206,681,762,416,404,747,054,228,971,863,807,031,
620,680,961,866,946,916,278,071,403,738,430,370,334,523,129,787,696,442,943,
017,906,033,476,819,224,739,526,121,191,068,000,984,125,813,674,222,866,055,
553,139,320,823,923,709,696,224,851,493,446,922,399,993,933,830,549,892,245,
223,189,653,722,970,813,264,920,567,750,175,516,137,902,109,275,574,426,759,
943,318,176,222,727,502,975,254,213,079,885,175,214,443,212,430,875,705,674,
626,534,316,072,285,583,998,785,813,961,221,840,078,689,616,234,873,189,824,
269,087,061,443,147,082,156,518,768,450,245,413,926,203,701,861,304,446,365,
852,614,518,857,428,007,992,850,471,559,889,089,104,765,194,593,402,681,106,
268,471,962,890,907,246,171,356,329,356,199,635,680,067,408,901,434,994,413,
871,635,139,493,556,119,976,096,092,496,542,804,353,753,109,841,970,550,715,
635,132,951,509,580,242,100,092,247,530,688,007,962,487,054,814,359,784,491,
021,443,967,410,399,200,656,622,296,619,269,091,223,891,035,717,380,311,055,
373,599,749,458,233,279,124,003,667,494,602,967,379,593,786,069,353,287,608,
070,591,167,396,126,652,783,282,288,729,420,247,724,074,333,704,537,253,913,
903,992,136,763,815,144,155,928,458,097,678,360,478,496,014,565,589,621,375,
210,629,376,682,674,911,573,607,619,627,880,966,200,501,503,075,967,957,371,
760,689,859,926,134,980,096,828,247,675,244,911,945,770,269,399,042,916,120,
512,099,744,465,809,671,952,293,148,916,342,991,588,166,958,926,309,527,014,
461,697,834,106,357,523,122,390,499,379,643,493,879,483,058,477,119,514,752,
560,914,554,901,934,750,359,219,557,257,405,517,797,319,373,489,689,501,668,
137,397,961,115,297,289,799,869,083,091,751,142,996,564,676,050,775,136,040,
820,588,637,274,745,760,821,501,057,850,440,459,208,454,977,567,448,551,037,
933,453,431,735,863,064,848,044,286,438,189,120,593,121,160,695,281,479,152,
518,028,407,087,411,442,204,138,196,417,651,076,367,234,364,316,464,873,669,
349,655,434,442,782,163,199,520,073,808,376,650,147,290,918,908,465,652,270,
224,936,893,678,472,964,726,333,833,130,457,187,649,089,472,274,697,538,158,
662,702,008,982,580,724,574,668,913,792,184,252,493,053,626,330,190,416,721,
782,644,646,560,508,303,191,231,233,743,002,662,370,317,978,253,783,363,599,
742,452,061,870,627,491,507,657,160,358,108,471,812,155,049,719,279,746,518,
080,868,603,699,548,952,271,714,167,043,563,957,892,237,014,271,290,092,987,
344,556,493,507,337,572,242,224,942,335,566,013,584,828,613,649,303,934,450,
028,457,022,397,084,855,475,952,880,100,677,960,783,575,762,098,233,324,418,
532,649,483,133,286,326,266,013,968,786,197,554,575,334,320,624,231,573,912,
706,824,967,970,094,787,953,077,647,658,048,124,696,734,452,219,233,175,612,
920,080,216,662,082,142,272,343,824,047,502,148,376,396,758,747,777,127,265,
418,144,224,981,331,711,512,019,997,016,998,605,397,571,506,835,733,024,621,
244,371,733,056,275,539,306,813,671,155,597,941,979,615,567,541,601,824,391,
019,201,613,479,877,735,732,464,128,767,375,362,255,451,741,114,682,861,636,
354,083,985,187,243,279,884,962,587,087,415,071,155,632,854,228,212,075,653,
530,030,631,225,792,964,183,345,275,307,431,939,979,024,907,443,721,777,126,
803,267,355,197,078,869,675,166,654,924,523,836,392,880,042,988,222,525,626,
150,640,261,492,571,223,581,326,259,232,968,184,325,062,472,796,158,889,820,
451,660,526,569,678,279,831,061,295,813,216,562,205,197,958,704,340,812,911,
815,800,923,706,473,341,050,005,308,485,201,431,394,898,543,567,752,669,137,
482,737,896,965,468,251,627,858,234,533,572,493,401,929,999,641,036,415,220,
138,662,307,769,112,374,855,988,695,690,281,783,427,711,555,233,980,194,840,
032,640,251,953,908,707,986,485,770,606,624,525,433,617,928,402,615,983,263,
415,286,509,072,966,089,924,273,223,564,450,536,893,364,755,623,121,801,877,
242,968,191,111,540,763,742,136,773,566,056,057,344,114,548,464,016,566,069,
284,199,829,145,039,011,723,246,327,759,471,226,722,580,023,261,032,432,008,
267,400,777,061,037,037,621,481,492,778,039,364,032,357,446,890,209,133,547,
885,601,870,376,922,886,776,735,458,536,115,859,185,191,445,267,142,553,922,
458,495,878,204,377,756,917,956,283,546,980,826,229,179,606,488,296,769,787,
986,805,430,677,094,975,345,406,993,085,245,953,756,013,175,029,222,716,295,
936,092,352,112,391,087,636,953,465,166,007,768,174,595,959,309,097,546,152,
708,745,190,915,385,677,319,537,251,908,412,195,533,732,225,884,502,444,304,
709,814,712,184,473,337,156,868,122,446,037,265,854,840,751,026,461,864,705,
136,953,453,237,044,796,818,845,978,986,774,659,589,704,284,370,187,625,664,
893,663,104,037,401,299,213,421,599,234,343,508,841,966,962,949,331,425,353,
831,953,805,953,587,363,750,999,724,180,752,698,904,248,104,555,155,365,533,
466,797,196,051,062,659,900,420,414,198,944,326,845,853,336,245,972,097,683,
072,299,821,640,489,270,425,676,671,704,990,506,769,995,472,772,199,220,668,
493,368,410,341,581,980,781,454,372,793,714,293,861,819,990,692,292,640,773,
735,076,327,713,841,658,181,924,057,137,439,884,097,645,417,689,310,774,936,
345,609,677,429,705,711,131,382,978,330,242,019,330,907,579,248,786,208,233,
433,001,717,984,945,290,943,162,254,221,498,764,784,194,925,349,960,653,834,
620,364,427,082,344,398,764,118,091,840,840,349,962,294,112,776,141,009,311,
417,914,094,245,410,679,408,464,555,362,039,298,928,571,770,648,968,492,655,
105,164,107,480,151,737,248,075,215,070,678,620,724,737,522,603,315,186,602,
143,023,502,062,737,216,311,619,254,130,612,600,509,598,254,512,167,040,088,
905,523,143,414,898,373,362,969,484,611,932,217,747,136,043,740,480,561,082,
844,457,218,026,675,650,503,227,045,136,435,073,301,134,286,548,977,024,066,
011,437,676,292,063,942,309,624,490,381,677,742,003,629,501,273,791,626,571,
323,252,042,436,779,692,684,925,871,232,320,931,106,894,558,300,971,808,674,
456,864,849,427,125,837,744,160,919,525,445,742,972,599,561,402,529,993,105,
414,860,098,528,828,647,294,220,654,553,496,940,679,130,256,380,360,800,383,
196,112,343,030,949,541,131,366,831,848,369,458,365,959,991,104,959,113,417,
758,026,085,888,371,325,759,380,672,640,407,846,144,500,904,584,224,628,156,
647,334,708,183,565,372,123,155,075,711,915,021,718,564,622,429,817,425,938,
269,181,120,631,761,617,500,369,633,180,205,119,493,530,304,019,492,883,872,
603,414,346,656,810,266,327,815,483,581,776,169,872,053,276,333,906,428,984,
724,973,568,714,311,541,202,387,515,203,722,419,599,815,817,723,968,093,204,
117,094,048,761,416,564,686,120,256,978,446,568,836,304,193,204,666,224,461,
797,187,519,237,627,637,522,124,047,416,084,265,508,847,544,228,273,256,658,
705,892,545,182,753,357,088,864,316,943,507,210,727,283,359,873,267,788,634,
867,138,973,486,699,510,580,293,647,663,174,992,679,251,420,089,390,272,633,
771,680,457,078,677,832,594,005,963,374,286,304,247,819,274,919,716,993,275,
876,183,716,012,654,004,194,588,784,435,369,195,554,047,322,886,663,550,452,
624,563,087,851,421,889,654,218,044,392,520,502,095,974,482,615,177,435,782,
673,892,489,754,059,698,692,676,601,960,249,009,532,364,727,778,808,996,372,
201,415,405,047,985,616,605,988,756,545,232,553,430,752,595,977,553,287,690,
220,105,183,309,103,196,102,063,514,222,028,060,712,469,876,286,902,793,088,
611,624,188,245,558,623,528,679,464,177,309,202,453,413,919,199,023,151,974,
934,092,406,213,511,201,934,814,825,611,310,603,152,806,607,281,626,702,276,
767,667,708,078,102,781,419,189,353,461,446,317,444,077,551,529,743,923,787,
005,674,474,167,592,647,009,795,781,259,043,815,729,676,125,602,357,261,653,
795,981,188,426,823,245,539,632,699,953,221,670,123,058,612,406,728,454,122,
585,313,870,938,486,100,828,675,888,300,234,158,986,204,288,216,784,108,493,
891,940,790,295,783,540,778,392,099,030,810,704,359,783,853,775,154,286,563,
694,629,649,102,346,466,736,282,348,703,108,324,787,728,049,222,891,406,445,
432,445,460,790,894,786,811,778,452,909,168,732,689,108,414,602,616,284,067,
898,306,431,582,903,688,792,105,099,603,168,583,978,683,260,952,525,955,564,
572,614,891,302,806,567,183,102,438,019,897,205,148,611,824,236,813,506,491,
885,853,557,641,507,459,177,834,149,149,062,569,990,277,901,482,494,021,552,
841,745,481,425,382,691,850,140,480,577,735,546,913,179,099,342,569,241,118,
681,559,451,456,547,300,578,684,568,294,004,244,511,661,879,810,084,083,451,
297,991,645,666,582,251,486,307,504,240,769,123,540,018,626,560,736,013,744,
010,149,592,477,420,892,743,244,230,667,758,022,376,222,612,140,527,326,376,
584,041,228,458,879,409,192,538,261,271,812,777,766,297,982,440,109,033,559,
867,195,850,490,839,686,617,751,095,706,635,477,498,771,634,860,026,423,648,
224,928,676,029,438,343,116,552,849,790,636,363,238,903,754,069,060,112,910,
943,259,881,680,269,042,636,142,851,923,650,013,644,388,189,509,834,792,122,
823,113,528,898,828,142,113,785,104,148,481,280,191,277,030,871,343,491,238,
315,635,551,500,536,408,841,474,044,509,415,535,665,810,618,746,542,642,047,
893,145,181,287,962,664,920,901,343,048,885,838,229,727,849,623,086,024,522,
719,990,393,541,410,836,858,627,273,530,283,231,262,576,356,767,464,780,523,
955,009,566,758,429,402,178,350,456,146,464,993,522,159,628,849,216,949,268,
773,402,194,614,291,853,095,259,044,488,617,989,125,523,289,988,675,107,578,
170,014,254,520,080,857,396,811,653,432,535,956,350,206,936,792,318,409,743,
120,628,060,708,166,983,062,878,860,798,073,078,013,073,167,239,945,866,157,
323,260,743,576,557,601,722,567,611,645,764,045,876,914,480,585,509,583,202,
625,946,678,751,343,828,185,979,783,330,753,983,571,785,019,440,100,783,335,
691,885,424,033,389,736,566,584,794,542,302,397,589,673,600,957,274,241,313,
638,912,592,897,308,843,213,025,147,152,915,234,924,965,278,283,888,852,019,
677,685,920,133,047,661,860,351,410,090,195,246,558,921,753,324,912,227,037,
726,179,093,588,052,160,283,005,861,793,931,515,603,363,578,469,641,825,300,
451,173,467,868,759,981,555,907,431,620,952,130,207,505,777,065,366,355,331,
160,611,782,398,825,740,473,150,385,096,234,936,028,594,025,190,885,150,402,
202,032,631,636,142,214,048,563,626,357,540,741,805,729,544,457,679,149,458,
726,235,971,156,424,817,797,101,978,424,695,584,288,946,135,276,413,484,777,
365,900,580,840,585,201,741,782,840,915,701,306,211,368,522,162,602,631,504,
172,522,599,600,613,060,004,738,050,542,312,159,928,033,170,023,132,357,102,
924,555,283,594,385,853,526,870,078,165,241,578,582,810,217,698,950,654,656,
512,572,405,079,111,325,406,235,934,840,907,427,299,328,577,502,699,649,430,
879,048,067,715,779,791,570,012,298,567,407,038,088,951,340,478,283,578,074,
065,901,781,685,828,026,357,754,041,191,236,577,464,980,330,417,791,714,350,
073,190,333,503,452,564,231,181,001,076,963,761,341,960,270,891,850,388,747,
983,906,746,342,125,049,941,919,594,654,447,938,201,127,595,855,205,493,635,
969,470,048,930,569,843,226,574,196,654,823,431,071,694,198,942,885,739,475,
334,291,663,445,637,931,156,414,798,579,490,400,840,621,609,865,390,279,536,
753,142,644,456,865,708,153,307,357,504,860,988,955,423,734,406,028,488,852,
554,476,460,907,989,666,034,360,282,934,101,342,953,323,598,422,717,721,172,
952,458,075,796,814,748,491,780,146,327,254,892,855,971,773,482,780,040,509,
197,270,255,072,402,715,304,201,252,920,109,970,061,419,777,544,537,513,885,
942,638,565,834,728,306,001,187,924,943,295,338,911,653,324,865,214,780,986,
729,376,038,867,837,973,647,479,219,136,810,024,132,171,875,297,704,711,614,
944,492,495,304,326,978,903,696,592,824,490,021,059,159,582,000,365,609,054,
381,649,737,937,524,659,262,749,277,599,364,870,470,151,023,730,719,900,164,
365,976,076,847,883,643,722,008,444,947,698,439,453,697,103,566,906,269,162,
896,143,722,654,664,601,938,019,945,661,900,875,544,708,123,690,583,761,528,
130,669,952,778,871,061,741,256,866,135,223,620,195,270,619,745,717,981,945,
386,761,834,639,838,095,753,446,059,406,843,904,462,728,747,774,107,457,769,
255,154,948,437,738,933,571,653,856,875,119,444,541,987,589,517,381,883,254,
299,731,694,461,549,095,986,517,767,714,764,751,155,695,613,677,116,841,770,
870,753,868,882,647,809,766,363,026,261,889,658,435,977,956,643,649,644,156,
407,496,310,307,035,452,107,282,016,051,169,041,490,177,186,143,591,815,147,
603,374,820,008,709,435,738,357,595,956,018,231,579,103,490,073,432,335,252,
432,984,837,837,517,377,989,477,279,174,595,714,877,971,544,096,557,879,219,
884,495,277,184,165,221,148,571,693,495,533,475,264,502,254,550,879,382,864,
984,574,356,809,484,068,033,053,117,699,956,883,845,285,672,415,775,301,862,
789,087,357,975,576,932,088,207,750,485,621,407,561,541,679,175,970,013,152,
082,125,464,166,504,963,992,481,612,051,428,511,335,458,607,195,613,325,896,
131,474,663,709,381,399,892,750,323,968,237,382,958,864,444,065,039,951,836,
580,140,965,404,499,126,135,083,868,591,697,599,353,585,351,306,264,869,945,
319,660,099,443,346,853,972,680,140,439,866,623,142,250,837,913,741,007,961,
375,713,717,217,662,680,674,261,145,675,173,177,000,296,269,185,965,441,838,
676,628,144,602,371,962,853,397,569,830,894,006,905,568,894,014,333,358,056,
032,456,774,396,992,283,395,644,982,382,769,662,573,956,379,202,525,158,671,
564,089,778,273,696,618,693,872,426,375,495,946,559,053,616,748,365,350,729,
187,155,887,779,567,210,186,704,176,359,692,606,251,615,540,245,320,591,276,
425,679,107,040,401,146,970,771,473,677,240,735,629,694,599,560,501,179,725,
571,348,745,587,315,942,455,147,385,482,068,353,609,810,433,886,214,282,245,
598,766,998,922,153,717,270,978,622,165,032,190,858,703,200,051,575,678,445,
607,893,327,864,120,624,827,963,487,290,092,077,848,718,658,993,404,534,422,
574,314,308,455,478,117,750,444,486,157,795,317,067,421,797,155,531,536,247,
532,089,238,718,104,555,416,444,720,781,499,350,883,314,362,685,110,383,115,
105,707,226,293,138,133,766,293,120,056,641,158,997,438,074,075,537,081,001,
955,061,800,275,953,187,324,120,605,433,651,675,191,576,559,020,824,481,000,
413,442,984,967,843,201,632,996,015,110,621,642,494,770,440,694,399,966,322,
750,906,109,048,452,882,647,462,634,778,622,057,148,547,695,363,928,728,554,
086,783,475,449,442,191,938,220,579,763,098,044,237,897,063,653,672,582,490,
250,181,957,153,020,417,892,984,403,917,482,731,896,436,407,675,327,069,746,
607,595,281,312,666,956,404,774,891,672,872,143,096,578,207,962,576,942,831,
016,363,310,663,945,896,032,274,108,994,084,866,344,782,941,252,983,517,572,
529,365,199,160,839,346,551,834,854,836,524,902,113,629,766,077,793,312,828,
256,217,214,001,824,508,018,367,410,865,316,857,243,498,291,975,267,186,405,
967,963,960,739,240,524,062,057,517,906,878,392,516,521,030,135,080,322,170,
130,051,278,650,431,904,723,563,016,825,817,607,658,728,208,653,975,313,926,
039,390,074,471,422,673,315,741,140,028,989,692,507,132,889,412,772,527,810,
669,773,657,582,133,478,777,278,628,026,195,127,068,589,683,950,698,682,137,
445,946,999,210,443,635,590,648,079,433,282,776,106,102,117,273,196,727,038,
225,601,721,037,391,074,721,327,342,373,705,817,549,424,726,643,332,507,269,
670,810,492,348,514,343,854,386,744,907,884,361,033,359,929,821,106,596,916,
345,541,577,367,717,826,019,310,068,890,151,644,339,687,591,139,159,607,831,
685,663,535,073,261,360,277,899,492,788,044,607,047,750,570,024,208,420,609,
742,994,737,818,002,381,133,334,950,370,387,018,488,393,403,551,340,163,550,
990,266,897,344,058,103,906,027,018,704,685,673,730,845,571,862,552,167,406,
135,507,712,899,097,253,567,751,631,914,681,181,367,902,449,798,653,548,562,
495,486,979,649,409,985,734,845,070,171,425,608,862,589,439,274,493,206,782,
628,701,559,860,677,112,987,255,114,798,051,561,017,697,641,697,442,083,400,
707,178,404,902,415,366,098,546,417,557,262,139,367,799,117,971,438,099,275,
173,722,426,626,712,944,442,865,959,832,487,162,050,127,748,525,796,569,274,
827,534,272,244,212,404,047,121,267,917,734,017,661,316,450,291,909,619,818,
628,128,571,321,888,985,033,278,621,225,478,685,398,229,124,140,650,526,611,
137,685,486,396,056,740,090,381,136,672,827,912,177,787,818,457,480,382,995,
363,150,975,168,267,020,544,401,318,600,700,523,515,448,036,691,143,236,295,
542,584,544,008,425,392,663,674,288,916,539,637,928,571,765,269,615,116,034,
200,367,364,578,082,282,655,817,015,115,999,344,743,580,819,260,370,502,894,
896,280,890,129,137,074,016,120,864,671,778,442,937,611,769,630,612,197,294,
598,040,316,388,570,304,132,989,732,900,621,145,821,704,769,354,078,616,486,
409,539,195,739,081,589,913,170,161,797,229,623,441,262,911,252,564,255,492,
506,636,087,464,261,394,638,316,650,377,801,275,984,176,104,071,141,350,677,
455,477,553,855,981,056,318,152,048,699,408,109,272,472,955,247,349,147,853,
942,457,982,636,469,958,498,458,750,093,135,061,148,485,679,547,189,648,935,
561,110,935,271,792,079,243,171,139,542,061,306,778,578,474,949,842,368,635,
753,560,891,441,076,946,755,273,807,070,952,644,903,600,826,943,677,592,775,
046,314,776,804,270,198,916,755,484,820,028,207,630,055,429,206,967,162,603,
024,328,473,734,865,495,077,458,805,969,623,575,653,776,366,021,238,639,371,
565,193,833,400,720,118,326,083,005,798,398,593,946,029,160,392,580,009,807,
646,865,136,576,895,573,172,670,614,254,861,710,788,410,517,497,118,384,198,
469,767,446,490,705,687,276,693,568,819,867,544,242,373,320,392,798,125,035,
763,664,008,891,043,182,822,906,221,255,374,864,624,349,663,772,594,524,521,
778,165,651,587,139,892,826,428,999,584,497,613,385,576,787,217,420,395,540,
664,961,375,509,762,397,335,323,015,386,518,749,247,425,352,735,128,948,824,
155,103,457,931,006,144,016,312,329,422,968,269,697,465,472,105,331,665,255,
730,081,965,863,835,191,319,255,882,237,623,049,344,681,715,335,570,843,908,
412,636,521,738,004,840,014,128,100,575,217,672,683,657,008,207,683,635,113,
926,126,259,552,080,286,902,295,151,689,976,586,485,424,310,261,690,119,106,
722,517,990,522,757,756,242,325,079,837,563,586,705,483,616,970,389,790,396,
217,138,786,357,260,304,850,404,065,567,418,286,233,404,320,523,527,054,752,
922,715,709,773,829,122,724,331,249,059,121,101,778,145,336,877,591,553,346,
734,763,401,914,189,705,232,523,805,125,739,402,553,165,488,043,829,812,864,
475,712,475,520,566,364,031,660,381,315,212,469,847,279,963,359,326,290,652,
634,423,636,910,792,513,717,580,000,375,828,944,674,247,306,463,037,683,092,
587,957,405,575,268,810,098,606,952,275,615,883,309,249,383,074,769,162,027,
691,447,791,234,597,546,413,262,369,947,468,222,066,918,173,765,266,448,648,
899,703,088,253,396,589,629,234,186,828,322,617,897,764,311,830,469,695,061,
738,053,898,602,137,377,036,909,576,880,592,355,875,161,114,526,631,738,957,
926,912,894,047,906,082,099,835,008,682,028,014,512,816,155,253,869,079,339,
879,473,819,886,784,761,497,623,830,030,533,379,203,689,293,975,168,545,904,
111,354,614,589,308,041,808,092,389,384,076,051,197,811,113,564,846,716,455,
449,546,604,306,586,428,651,231,775,595,969,304,581,844,734,816,621,186,515,
179,262,323,683,552,541,930,202,689,154,810,159,640,906,681,194,678,456,250,
436,332,726,804,189,819,215,769,028,673,295,406,270,852,154,613,401,965,388,
115,998,570,417,481,732,289,117,518,580,553,778,774,439,601,762,442,782,205,
501,287,852,327,999,010,744,720,846,863,413,319,734,400,431,205,539,717,929,
004,260,278,277,098,270,100,706,484,105,695,687,951,679,821,425,238,735,145,
939,843,421,907,765,187,478,892,985,998,937,419,232,426,708,023,633,724,475,
164,134,263,865,833,064,600,769,278,297,271,226,374,452,248,197,816,868,554,
365,108,450,057,404,216,265,072,865,900,938,972,345,679,478,680,665,164,639,
348,148,000,827,550,807,783,808,176,572,745,907,787,026,724,276,717,724,999,
485,813,546,887,431,981,909,310,426,481,391,209,345,819,997,420,781,773,227,
214,005,424,187,714,968,113,371,179,897,806,044,087,908,600,189,040,055,352,
881,814,246,545,756,582,296,359,651,603,558,392,396,706,727,685,912,043,554,
018,878,902,165,539,175,375,690,343,057,202,294,473,431,873,554,687,399,693,
119,508,512,804,121,104,923,000,773,295,652,657,767,024,868,777,769,809,209,
227,298,815,795,594,582,130,361,850,166,691,936,556,620,152,507,598,749,977,
027,240,907,339,605,791,838,806,148,995,691,384,755,056,219,546,501,251,849,
049,582,801,274,747,226,725,139,956,275,526,684,571,425,525,590,525,709,746,
528,976,616,844,032,698,248,046,340,908,826,762,543,162,871,281,197,443,887,
109,944,274,221,464,462,546,265,945,459,437,100,484,439,000,028,672,413,317,
996,226,235,736,557,105,576,934,769,892,346,652,402,498,868,979,145,000,618,
083,404,798,746,497,327,898,438,498,166,921,310,924,383,025,096,316,115,499,
619,611,778,386,521,385,013,699,066,857,496,103,035,391,601,347,993,936,454,
654,786,208,402,131,176,744,053,771,946,726,979,939,412,720,144,111,093,564,
624,452,232,210,553,913,297,725,416,800,952,399,370,681,093,669,984,682,026,
910,965,398,443,578,233,455,736,425,369,825,589,924,870,415,364,178,865,613,
626,545,924,326,726,983,708,746,676,896,457,844,873,198,569,434,681,625,039,
162,209,575,454,937,832,951,920,434,551,257,733,644,987,956,573,745,933,464,
923,959,902,474,598,794,575,305,327,453,299,892,454,262,568,448,906,682,224,
780,590,281,422,580,779,996,009,963,965,818,885,833,429,708,620,082,554,670,
672,665,482,424,777,743,818,986,198,700,818,595,759,687,499,420,754,983,039,
640,419,288,473,007,333,692,235,830,844,429,820,210,348,917,542,290,420,408,
973,191,794,025,581,627,687,704,217,714,112,322,203,488,930,430,666,964,979,
630,289,092,492,774,568,604,633,881,971,927,723,638,031,795,943,803,905,380,
712,965,670,784,159,117,693,123,015,979,354,711,558,421,953,161,973,291,786,
291,250,000,988,778,673,749,630,485,454,921,494,122,851,899,322,076,775,583,
649,289,425,213,885,794,126,239,100,246,667,993,173,000,847,363,584,261,567,
225,361,427,363,013,553,789,437,401,050,159,333,861,550,885,976,446,101,922,
374,231,791,881,534,677,794,685,725,745,116,601,703,365,743,115,715,182,553,
839,457,288,613,730,988,872,581,959,604,038,993,335,051,155,450,350,766,753,
881,649,614,364,304,514,231,604,032,125,139,093,221,335,398,105,929,224,163,
011,108,217,327,522,996,362,846,039,995,534,824,046,109,206,951,417,336,456,
786,442,511,645,982,092,936,154,227,024,291,718,532,613,882,936,616,925,914,
098,705,696,016,599,068,760,057,758,058,948,406,719,053,668,660,314,067,408,
229,167,171,843,724,809,838,402,512,177,673,017,287,726,979,786,324,263,186,
791,697,054,547,351,182,868,265,891,470,554,607,409,689,364,070,681,734,353,
642,795,106,167,422,464,440,672,456,522,124,680,534,944,998,679,139,926,545,
277,111,007,793,993,027,042,165,427,035,080,713,813,510,716,691,818,362,654,
366,580,924,299,710,511,557,852,501,058,679,997,372,140,318,992,185,353,707,
970,036,258,572,176,532,855,480,956,479,121,722,085,171,376,821,361,897,173,
107,504,586,682,225,279,945,940,784,448,721,937,248,707,111,644,051,717,065,
805,410,044,529,410,167,132,004,915,617,481,216,219,032,943,992,220,123,262,
210,194,557,598,363,379,055,035,600,793,905,503,482,066,697,385,262,123,543,
050,695,387,839,637,356,214,327,782,472,678,106,938,606,436,336,725,203,177,
497,100,124,995,865,514,716,036,314,359,301,414,508,009,139,683,081,183,353,
614,043,956,975,544,265,796,361,095,666,665,506,065,858,058,863,762,143,899,
038,896,468,760,400,082,344,529,600,763,395,994,345,090,181,632,208,269,155,
600,844,696,945,822,207,586,391,926,297,507,398,973,160,381,629,098,660,084,
964,630,704,515,221,325,301,783,383,224,725,461,559,097,829,720,581,826,256,
329,103,257,351,919,123,220,627,700,422,541,196,950,510,247,542,316,320,456,
690,299,425,402,662,708,903,269,115,466,849,811,193,614,349,954,767,962,692,
519,292,184,487,853,723,728,812,176,696,965,623,270,636,002,713,341,919,987,
798,772,247,747,090,304,401,071,808,987,977,532,164,737,942,667,531,316,242,
352,107,300,602,416,300,990,165,836,493,797,856,596,077,058,623,720,614,101,
989,824,108,634,780,828,834,567,418,731,910,779,995,214,134,492,831,569,134,
491,406,930,519,121,375,601,629,128,272,007,434,033,895,556,159,826,865,023,
795,879,026,948,698,154,979,720,651,438,785,529,538,356,926,685,027,004,600,
593,193,360,257,044,000,282,096,482,420,559,257,615,646,314,022,554,448,639,
945,393,069,403,970,044,539,453,445,876,857,242,930,384,345,304,864,804,940,
054,885,326,195,863,567,022,279,298,699,714,078,879,279,655,069,534,600,445,
459,386,686,780,451,848,151,194,187,778,588,408,437,509,661,430,660,580,196,
898,793,392,068,947,938,766,050,887,028,048,281,796,071,034,663,498,948,365,
361,932,038,698,372,500,335,577,621,615,855,618,239,123,065,834,897,841,881,
512,950,846,499,860,311,440,478,200,290,249,130,983,098,769,228,784,949,501,
718,463,491,542,629,723,148,141,017,783,950,089,021,645,881,913,826,560,661,
900,051,339,114,388,344,866,711,496,018,296,224,784,544,081,954,091,609,957,
192,858,319,515,677,145,694,958,780,970,170,792,962,355,296,756,020,779,330,
547,996,704,555,809,471,733,505,474,330,328,910,898,668,793,430,752,056,188,
372,994,346,184,036,447,068,953,480,483,558,824,443,258,390,986,383,387,828,
773,215,373,455,713,699,096,737,591,891,659,699,492,653,116,424,370,804,806,
262,133,673,671,075,053,512,685,164,060,405,374,615,692,932,380,295,161,838,
917,049,203,924,846,305,834,160,342,647,024,153,990,146,210,023,978,052,085,
225,899,559,088,563,026,245,513,522,958,618,296,727,490,864,378,648,019,716,
947,881,233,654,379,939,960,570,276,928,773,769,608,704,835,570,898,647,553,
545,472,964,226,424,983,465,629,088,239,145,636,140,652,690,910,942,996,597,
978,944,602,416,551,794,631,391,933,210,728,986,187,223,467,897,594,838,041,
578,210,028,824,753,436,207,416,906,947,521,588,823,226,270,966,084,779,605,
535,823,081,411,579,201,281,592,020,704,936,531,702,258,630,900,793,311,004,
546,444,597,214,011,847,107,121,039,310,003,673,677,215,761,877,117,942,495,
743,251,589,667,970,527,802,421,481,122,576,653,542,893,143,783,429,573,940,
620,064,291,049,499,148,962,286,581,908,966,141,418,759,512,229,892,302,530,
004,182,241,466,753,889,996,047,456,443,788,112,990,559,909,821,717,126,478,
365,454,418,920,309,908,129,044,255,144,787,600,912,150,503,373,657,551,410,
879,234,450,403,046,730,256,757,683,195,869,915,307,017,616,010,213,333,552,
743,540,283,501,404,486,799,649,681,510,795,902,774,930,936,168,439,663,916,
871,043,013,129,272,069,116,401,446,797,975,345,106,127,213,925,790,740,701,
363,427,069,151,037,281,832,688,979,828,588,946,759,562,836,170,325,427,673,
545,360,018,459,386,488,510,326,031,678,473,739,719,193,021,656,794,299,957,
590,187,330,476,317,071,493,628,882,631,782,957,460,675,659,896,244,685,738,
800,491,803,112,524,286,128,923,872,962,670,310,251,241,307,576,968,085,563,
693,983,650,827,900,690,198,876,971,941,621,228,254,904,426,711,348,871,787,
337,296,589,549,113,858,245,516,494,764,970,464,850,574,403,253,931,638,026,
279,413,889,168,278,000,943,902,670,847,184,518,095,862,409,722,909,731,964,
304,226,556,291,232,989,842,485,621,404,598,396,096,157,800,509,204,846,258,
972,527,469,899,558,994,664,686,139,529,858,912,276,086,609,825,328,804,419,
610,607,164,358,070,096,366,734,590,149,110,157,117,258,498,225,738,562,008,
730,269,021,317,585,190,261,204,078,920,868,144,398,524,258,416,681,693,892,
054,878,638,657,677,563,395,975,805,845,424,617,186,209,151,627,030,040,066,
040,342,364,502,448,483,564,707,576,668,827,894,259,952,925,434,686,830,094,
471,894,944,688,988,592,134,073,942,107,392,240,288,758,273,036,361,247,351,
133,128,988,717,425,166,501,059,087,020,182,876,533,306,322,948,386,396,863,
013,153,607,549,362,741,779,362,385,656,180,726,410,306,744,167,106,560,487,
966,402,449,624,896,690,312,033,207,881,708,062,012,261,526,423,439,161,098,
654,058,171,530,399,669,455,351,011,357,429,641,874,358,790,767,472,914,718,
528,359,208,814,314,717,764,323,626,161,878,528,914,616,614,096,392,988,820,
563,015,098,701,284,099,420,395,465,948,347,211,326,240,609,833,368,801,175,
076,124,411,406,564,878,249,698,469,855,427,388,078,854,345,018,861,954,845,
045,973,158,273,462,964,906,288,829,845,996,010,693,499,204,712,710,527,282,
026,117,826,052,520,507,020,674,369,555,110,149,453,806,694,576,711,944,363,
885,253,285,614,968,624,893,786,997,574,673,214,570,439,787,265,300,098,726,
418,393,963,177,663,132,286,376,230,206,151,768,318,457,796,735,480,452,298,
970,114,170,538,799,597,236,829,376,073,758,464,760,435,713,943,421,265,514,
921,333,183,217,108,180,118,007,109,149,371,815,373,738,575,550,078,549,964,
069,174,303,860,211,267,096,765,618,055,406,606,127,898,001,467,662,282,192,
842,208,278,582,390,398,336,514,526,550,436,455,072,618,387,190,729,008,662,
403,492,027,553,974,045,056,078,110,630,952,819,872,887,132,681,852,224,737,
151,903,534,949,664,772,463,073,065,998,187,132,339,766,301,746,649,396,504,
300,347,889,006,448,499,987,474,955,514,700,671,973,716,937,366,358,004,912,
876,129,436,926,369,046,270,739,164,573,792,219,671,812,915,362,314,134,742,
358,206,115,439,396,876,961,781,688,000,027,642,114,079,670,640,512,970,208,
208,736,243,371,212,214,140,044,565,950,748,075,432,107,173,032,168,014,795,
554,617,298,862,963,142,399,441,789,576,366,946,647,651,666,276,723,844,625,
168,473,678,778,625,760,755,148,633,980,361,510,369,364,162,448,744,169,626,
019,242,728,820,102,178,618,693,271,437,838,459,821,651,791,751,003,534,097,
727,232,984,749,450,440,091,568,992,003,075,458,790,205,309,040,255,947,875,
051,584,341,660,235,019,984,842,238,584,638,396,966,150,209,483,401,402,073,
374,855,290,984,278,650,155,836,264,980,652,141,587,777,213,350,996,086,585,
823,537,840,319,798,229,054,692,351,276,693,562,011,389,831,909,004,809,720,
679,331,545,760,577,584,098,417,196,616,070,794,669,353,874,841,671,395,268,
830,161,361,359,863,743,134,020,063,944,332,440,051,363,000,779,927,415,655,
791,980,727,154,984,531,081,556,444,204,965,736,576,327,936,166,110,873,014,
132,792,980,177,423,767,422,642,420,859,905,676,303,322,118,645,870,250,977,
015,654,519,683,598,110,218,092,666,281,707,271,366,413,359,117,977,593,442,
737,689,063,160,086,657,213,388,943,278,720,344,761,703,111,904,439,720,492,
661,577,591,834,286,826,030,839,586,265,515,469,566,274,554,865,257,916,112,
405,905,084,322,519,069,626,666,294,645,218,298,823,609,492,832,929,185,102,
863,377,856,436,275,226,072,539,530,464,407,304,174,239,751,698,209,073,908,
904,974,198,473,829,133,911,572,390,025,149,060,373,372,790,983,375,782,685,
344,151,943,026,887,971,277,385,162,135,739,321,057,086,455,756,294,557,048,
426,882,069,580,409,199,192,180,362,799,734,344,204,527,679,796,835,274,729,
428,052,203,806,778,740,559,465,512,540,195,387,512,584,906,295,462,473,041,
948,552,419,122,725,905,297,509,805,614,024,675,213,418,245,824,451,697,579,
770,799,060,181,482,194,580,238,751,491,022,134,620,226,318,911,059,009,174,
422,541,878,964,294,724,824,291,215,754,016,386,870,927,833,792,316,452,936,
393,993,369,930,416,810,871,375,820,239,600,948,911,545,360,104,967,204,709,
216,087,370,099,832,515,215,788,395,663,750,638,513,340,885,674,920,479,148,
541,183,619,238,992,876,525,827,664,513,629,196,004,628,573,615,676,148,446,
918,363,600,540,219,567,175,630,641,168,519,849,412,125,122,112,918,228,801,
859,229,644,926,082,475,572,572,238,778,775,410,634,267,259,373,492,000,688,
841,587,556,821,504,828,712,705,960,947,696,133,946,147,335,223,191,967,504,
434,342,328,763,480,736,943,483,583,467,285,346,405,610,984,836,245,615,938,
920,099,909,569,053,329,097,276,859,552,088,432,046,353,063,733,962,706,779,
996,724,494,345,245,036,736,153,559,446,034,034,720,581,367,553,765,211,578,
146,818,668,740,433,841,470,939,629,314,840,909,099,753,992,380,850,621,850,
940,120,301,434,451,131,360,430,748,079,170,416,975,390,373,401,648,033,255,
981,281,283,282,838,052,168,239,937,551,284,359,442,528,900,054,278,232,855,
192,567,660,213,900,534,671,446,933,006,889,400,572,043,452,184,378,294,129,
217,492,734,637,305,432,389,995,613,502,094,600,879,671,738,225,274,825,269,
424,603,292,761,657,143,834,142,413,014,373,515,246,438,161,033,208,677,014,
052,237,220,689,246,413,025,175,100,305,372,181,644,281,403,003,761,572,179,
059,468,437,238,196,062,581,225,784,943,866,416,148,231,854,563,916,529,256,
684,108,907,890,967,742,093,689,194,751,414,335,771,444,497,311,693,514,147,
766,991,883,793,003,455,869,296,543,284,077,631,613,875,652,982,997,461,596,
450,963,213,774,231,402,934,328,293,783,690,920,008,881,428,132,720,418,284,
016,656,860,597,059,678,641,467,420,570,227,139,387,514,180,029,450,230,731,
430,578,207,201,701,786,591,068,214,807,502,529,920,068,111,738,152,442,721,
725,519,711,438,089,681,132,542,583,737,242,430,376,365,154,339,767,616,299,
710,385,532,089,717,272,134,490,917,761,423,750,034,787,168,157,671,890,917,
566,191,062,996,179,425,285,068,982,174,939,243,015,543,991,418,826,568,869,
140,147,675,417,149,618,804,330,431,018,521,210,538,076,916,790,796,641,871,
146,663,300,179,507,354,396,160,532,677,347,680,867,491,193,543,973,062,880,
813,704,952,384,828,187,462,520,201,282,141,575,081,762,098,186,105,072,706,
907,633,416,298,072,388,163,066,373,411,091,581,162,692,163,882,693,197,258,
913,892,474,611,422,481,739,967,632,547,341,977,476,451,713,692,182,243,339,
942,933,129,548,695,206,081,012,364,388,210,509,197,207,676,802,759,485,761,
102,173,251,877,307,671,301,737,527,980,388,072,764,402,732,278,767,372,184,
601,778,566,766,466,648,551,677,437,654,649,704,917,971,900,133,841,753,044,
801,556,305,375,940,693,252,414,929,617,059,686,207,780,848,247,783,338,896,
841,824,147,137,294,907,187,760,400,918,059,917,866,174,726,301,543,118,998,
720,614,050,876,129,916,933,144,141,690,162,929,543,213,643,032,496,629,479,
233,063,355,099,838,235,621,208,368,250,763,249,701,145,229,102,223,866,227,
968,503,445,418,202,092,746,048,558,236,890,337,509,759,139,700,040,196,512,
293,801,357,271,064,891,271,050,256,524,006,654,675,209,648,211,778,520,819,
256,010,421,823,824,251,366,927,760,984,443,845,957,485,844,519,505,251,378,
247,653,037,840,181,725,739,225,755,255,741,360,429,973,173,331,116,330,454,
813,353,573,798,017,385,705,573,911,181,417,873,455,418,274,723,593,786,569,
631,127,042,750,115,892,870,026,665,252,048,363,252,102,866,622,071,835,036,
012,339,069,544,247,293,129,559,512,469,976,299,241,716,597,733,610,669,558,
643,371,341,935,321,102,894,248,539,807,694,270,301,224,374,589,561,135,145,
733,301,170,290,249,029,232,461,218,513,617,446,765,713,230,852,588,333,274,
433,757,167,985,002,568,130,226,910,027,370,752,830,854,334,801,420,965,720,
075,326,323,233,936,137,955,091,042,706,381,253,159,675,603,989,641,731,857,
352,984,927,023,723,703,334,177,579,548,523,361,723,075,894,260,184,202,086,
751,086,486,598,840,874,152,682,954,798,681,610,834,693,046,481,350,546,461,
409,959,416,332,839,537,647,442,348,009,634,594,753,697,902,010,579,176,386,
404,245,060,069,753,215,273,499,064,920,281,633,604,824,016,902,039,497,199,
585,361,346,394,087,680,857,024,175,947,202,569,605,586,285,469,329,579,816,
594,874,298,267,321,740,003,835,215,879,105,807,910,843,212,357,627,807,390,
242,356,845,386,331,902,231,220,282,463,565,800,105,673,909,452,792,147,786,
162,624,844,372,141,503,528,057,332,662,654,347,841,068,049,825,518,080,960,
629,198,963,789,298,522,372,265,061,162,335,311,535,125,650,238,082,873,982,
421,709,096,663,324,428,025,009,947,390,160,216,973,543,202,713,462,130,778,
677,182,728,558,884,526,521,402,482,187,419,393,077,282,616,104,134,336,615,
324,485,929,359,027,662,282,825,895,569,607,609,664,409,913,954,524,398,727,
776,509,991,382,384,193,990,762,552,619,825,573,566,136,156,269,350,444,037,
483,152,622,369,891,504,059,192,717,963,209,139,863,497,846,753,809,774,330,
692,213,713,959,391,473,196,375,660,650,686,571,651,841,105,951,988,068,027,
762,557,628,061,657,133,390,759,516,572,020,953,709,683,005,893,407,332,474,
256,788,723,236,162,681,935,880,064,866,583,148,364,280,436,687,478,761,206,
302,990,641,117,808,006,240,906,817,964,251,054,561,042,822,829,988,934,306,
073,962,037,142,355,405,760,575,776,349,328,578,611,760,487,968,992,280,223,
915,201,128,632,955,066,222,908,828,616,396,932,625,440,001,378,158,401,470,
434,647,694,578,630,221,901,464,485,040,677,993,284,272,820,165,482,663,353,
403,425,033,177,349,214,875,582,835,365,086,744,345,668,690,806,424,869,694,
133,937,042,631,604,830,275,902,789,556,288,029,940,027,713,001,972,161,555,
403,130,998,438,197,767,229,136,856,798,579,569,907,274,069,664,610,179,158,
165,209,616,762,515,645,391,888,070,878,685,048,784,762,582,592,278,671,844,
585,142,890,319,802,968,862,227,720,272,039,391,663,619,393,714,263,001,931,
828,875,019,699,066,409,985,610,159,705,502,386,268,034,937,757,154,340,884,
921,354,160,362,549,625,065,206,035,904,601,712,332,297,049,540,584,539,468,
245,173,060,387,848,498,694,474,991,939,978,636,457,953,540,513,589,686,913,
040,172,322,459,849,887,781,221,322,233,004,443,157,110,069,982,667,577,873,
045,987,338,871,679,091,233,255,422,991,635,969,120,302,745,752,603,725,766,
234,896,922,338,562,634,072,039,474,471,257,990,882,376,435,973,476,524,106,
690,380,808,133,277,124,325,973,671,990,122,933,235,945,192,209,780,150,186,
053,019,560,300,395,761,538,494,813,388,961,750,421,741,356,069,897,051,116,
403,285,424,688,480,944,069,924,459,046,362,216,672,556,309,912,400,947,837,
055,884,125,863,553,238,085,782,718,431,659,018,155,792,102,276,000,243,914,
772,397,901,556,747,392,890,594,301,294,036,477,422,683,330,594,695,269,789,
775,922,874,042,732,384,881,263,009,417,992,443,644,326,274,318,061,624,619,
127,888,216,424,659,200,774,427,079,944,490,362,055,396,667,132,857,053,931,
701,491,727,034,342,782,746,789,769,629,819,693,351,188,911,379,677,054,606,
795,179,599,239,297,433,720,945,962,472,089,974,474,584,701,358,028,499,102,
895,257,840,675,211,941,103,554,678,462,558,821,920,562,947,861,938,258,932,
869,175,091,629,593,598,989,861,927,756,881,545,774,220,545,793,210,842,631,
822,683,092,842,484,053,289,680,824,330,392,322,880,733,227,200,008,927,971,
984,127,547,490,497,445,507,581,978,475,171,194,692,930,086,037,509,211,995,
836,879,350,746,633,146,022,352,599,252,459,364,553,900,691,331,894,813,888,
492,649,971,424,500,590,518,378,321,742,808,506,724,972,033,721,712,396,437,
527,172,513,997,485,247,147,345,211,826,614,462,582,571,045,762,557,633,954,
841,306,762,967,598,263,812,888,617,781,360,651,440,422,344,049,839,724,777,
350,243,317,851,185,013,268,549,242,157,029,901,181,651,267,613,381,667,915,
614,752,242,755,850,010,627,289,691,708,253,741,060,783,880,152,545,523,815,
545,341,235,728,196,879,649,066,496,888,568,245,440,869,645,417,325,567,598,
900,440,231,133,439,262,620,654,974,709,024,908,148,313,936,282,323,772,052,
350,595,380,127,380,263,655,809,645,143,255,960,787,267,951,919,133,547,373,
261,656,048,969,537,255,483,482,745,867,546,701,937,751,610,701,523,494,898,
519,935,662,357,991,050,770,015,747,784,750,544,219,825,115,610,265,066,435,
454,316,959,887,373,795,024,575,804,603,987,262,397,148,736,708,109,974,140,
275,277,794,189,782,474,495,373,143,431,621,769,811,113,956,228,999,417,923,
258,431,790,987,833,283,739,497,146,007,090,221,305,561,522,112,036,382,143,
383,654,621,425,006,100,564,558,004,843,925,339,866,916,954,396,589,079,994,
495,245,717,538,660,045,535,223,663,575,585,967,965,048,749,385,536,977,611,
887,939,034,834,418,636,649,671,095,499,364,735,042,152,877,936,732,808,114,
633,290,976,373,430,668,726,895,758,948,747,418,573,488,980,385,139,756,547,
149,761,456,723,965,375,376,343,024,020,598,811,305,572,662,765,751,123,640,
794,100,858,106,468,140,350,457,534,274,247,689,169,008,507,914,046,219,414,
616,982,084,958,296,598,223,059,690,375,515,619,793,339,262,814,270,915,069,
516,810,289,133,601,967,426,617,697,026,857,231,097,989,046,550,645,590,008,
989,846,300,699,045,030,889,627,134,368,804,130,865,498,799,976,662,625,815,
565,187,035,970,356,236,225,813,036,292,060,834,100,192,457,847,567,111,141,
787,893,569,321,112,856,175,479,666,734,864,704,539,917,631,566,545,069,964,
953,354,188,497,239,641,636,225,143,082,147,803,977,148,679,247,215,996,405,
443,505,111,909,005,296,613,527,153,717,657,526,412,062,224,554,120,614,836,
284,749,733,647,276,628,873,553,961,959,709,858,237,945,010,306,369,832,870,
045,376,502,992,928,604,154,597,176,700,939,680,842,927,916,556,108,991,345,
429,992,227,173,392,477,094,006,264,964,114,916,551,468,953,565,876,992,846,
709,792,930,816,654,237,998,623,915,448,452,680,487,112,069,378,058,280,475,
654,796,440,662,663,792,257,500,476,111,140,691,016,100,283,595,130,048,770,
028,632,144,829,874,814,619,729,395,994,419,995,835,278,719,859,133,989,623,
778,095,600,585,923,226,729,040,466,411,816,855,367,587,494,848,335,349,758,
537,637,731,567,798,573,214,996,696,886,214,675,708,277,743,830,198,378,260,
934,732,688,751,390,049,749,993,342,537,330,296,673,905,084,497,756,456,535,
797,066,957,103,202,909,720,893,493,361,505,983,729,360,111,828,817,770,472,
591,256,321,491,238,210,312,717,726,733,735,299,146,213,699,943,770,263,595,
192,841,152,693,638,487,373,688,709,210,318,879,017,618,686,326,307,055,589,
115,823,628,443,178,789,765,900,920,912,751,058,194,974,920,325,379,688,824,
344,985,576,490,373,083,840,706,859,208,817,320,177,065,896,731,339,772,922,
182,548,911,244,834,015,170,269,088,988,285,021,632,321,216,131,126,181,090,
807,575,094,004,728,069,286,316,836,702,477,296,354,097,930,149,488,339,720,
887,057,802,384,294,327,746,697,640,279,023,699,271,383,093,316,860,976,398,
270,394,349,779,395,882,349,544,936,001,176,463,666,311,462,939,873,409,255,
598,127,802,219,546,503,257,327,207,529,554,513,360,458,187,655,827,198,825,
555,990,420,935,193,217,770,743,483,182,853,704,142,964,548,636,451,593,032,
226,988,668,831,325,804,891,780,043,797,390,721,181,133,641,881,433,199,035,
423,620,343,199,758,285,574,315,963,681,910,702,297,819,336,225,520,592,396,
565,956,085,560,478,377,149,504,190,652,780,942,313,747,325,079,967,661,218,
705,431,802,620,686,232,021,375,597,483,958,367,332,444,402,585,010,794,656,
561,154,086,272,714,384,802,418,469,199,016,111,703,494,560,255,378,046,846,
380,563,837,740,966,119,028,367,366,228,506,304,314,488,745,734,712,504,306,
441,285,372,385,689,044,560,847,529,392,180,010,220,751,590,251,111,513,741,
222,127,835,293,548,632,317,812,146,639,926,963,615,635,915,737,401,459,972,
553,107,101,133,076,300,230,293,307,446,532,444,113,538,950,911,163,574,518,
641,166,040,392,729,344,928,625,629,023,478,638,179,464,720,111,079,088,996,
341,241,922,724,621,307,644,941,733,099,110,087,223,690,842,893,831,488,163,
754,310,490,040,133,909,327,128,356,080,930,086,300,415,710,565,452,097,277,
911,811,738,784,080,152,496,823,094,724,926,876,456,426,842,335,272,460,553,
035,952,405,621,273,756,772,031,136,659,713,210,912,073,117,924,542,138,036,
203,044,592,593,955,279,660,169,167,119,811,805,752,535,923,813,240,000,407,
588,196,755,657,768,297,106,643,083,513,685,708,667,700,609,256,431,002,653,
633,348,617,488,963,515,664,869,534,614,689,816,326,372,950,309,477,492,904,
486,595,609,633,934,446,568,686,488,781,386,764,902,126,141,593,686,120,208,
661,381,972,098,318,904,937,303,897,851,700,259,998,220,644,774,403,907,366,
730,449,279,526,365,140,129,055,350,531,536,566,970,450,505,246,709,957,983,
790,072,932,263,781,857,948,607,963,248,399,770,569,587,653,151,276,067,662,
339,705,470,022,052,042,667,200,170,542,885,295,500,051,850,803,806,711,387,
433,001,870,375,306,681,531,493,544,352,337,065,764,302,520,256,287,881,475,
447,469,128,875,150,449,428,401,889,723,030,044,277,079,569,114,677,616,776,
131,790,623,132,194,657,362,901,148,041,442,461,501,323,887,387,129,528,006,
043,779,528,056,585,392,491,286,013,676,546,593,512,883,727,687,057,209,742,
517,948,560,273,482,790,316,379,685,804,083,227,859,748,092,402,418,962,522,
758,540,426,523,042,375,286,746,703,480,823,976,289,704,268,096,158,231,642,
638,870,398,470,691,778,654,121,769,691,440,627,248,643,330,452,798,922,104,
161,306,229,011,385,807,827,284,848,120,444,588,780,385,345,205,013,302,799,
267,433,373,421,065,538,937,975,813,071,577,200,732,615,463,180,038,852,359,
762,450,968,822,460,482,091,339,539,075,821,559,833,750,185,076,908,602,869,
859,108,311,921,248,572,819,315,468,890,337,182,000,663,818,992,217,602,847,
202,562,587,472,192,748,543,903,621,197,598,718,610,103,165,481,848,394,212,
247,782,426,715,831,369,558,038,538,061,145,649,572,966,914,476,248,474,593,
247,859,504,408,336,948,062,043,511,359,333,460,334,748,761,505,923,599,806,
680,764,417,363,232,595,302,510,802,418,337,898,908,039,915,061,680,938,098,
125,090,911,825,158,318,554,762,187,845,813,817,683,929,411,816,788,899,881,
370,731,726,678,128,821,878,105,007,673,989,647,032,633,402,885,132,661,864,
473,523,844,445,121,660,004,130,433,154,232,170,604,418,032,952,901,231,038,
259,502,362,708,092,871,349,278,490,065,799,887,266,010,085,128,350,216,335,
531,420,287,993,001,248,763,055,014,520,837,191,848,416,499,339,794,333,338,
137,548,940,727,752,858,379,324,117,818,695,728,400,732,651,894,547,288,324,
061,496,727,123,517,858,579,782,730,989,344,105,222,043,991,664,839,335,724,
174,587,492,133,895,692,062,341,148,465,390,579,420,801,910,825,223,004,486,
222,535,582,545,071,122,557,024,437,965,613,705,531,545,167,585,177,393,467,
303,002,638,119,082,887,988,702,208,836,260,750,121,660,685,805,937,364,719,
890,111,985,173,652,535,694,272,616,597,054,930,827,753,901,939,579,582,324,
094,520,621,212,370,599,340,061,925,304,522,594,293,275,532,928,622,219,432,
545,941,767,958,787,260,158,051,964,520,952,809,682,135,394,151,587,217,976,
963,911,160,403,401,638,417,641,947,513,669,180,433,620,587,095,985,384,087,
302,804,140,582,127,532,921,086,793,510,874,242,726,150,318,822,920,241,868,
379,201,180,105,030,856,842,908,347,463,307,033,168,993,509,577,984,843,321,
925,304,361,521,789,427,005,241,934,978,997,290,076,563,032,057,540,250,460,
011,869,195,328,758,297,057,641,596,982,975,324,971,115,401,729,417,992,132,
285,762,787,221,685,903,680,481,249,754,724,460,821,210,334,212,447,871,793,
918,708,462,507,261,828,568,634,106,553,592,946,306,479,822,181,874,805,068,
129,656,478,251,179,012,535,384,015,410,400,857,152,942,717,867,346,945,648,
442,675,146,193,023,993,731,935,855,604,089,740,968,274,392,901,368,716,944,
564,915,392,033,849,686,815,051,511,879,395,804,676,896,646,617,341,841,668,
886,133,368,669,174,689,241,616,598,444,676,483,505,442,192,170,041,898,172,
542,027,192,387,999,693,270,411,498,489,069,126,802,832,933,794,584,965,658,
116,706,394,428,641,834,837,617,441,537,436,584,344,032,668,653,490,715,265,
017,650,280,857,889,188,737,022,121,041,183,924,175,772,382,140,714,928,167,
076,680,946,609,529,129,356,543,456,012,257,407,884,389,374,563,090,452,436,
005,931,358,428,375,835,104,196,641,936,779,394,195,253,392,933,619,463,248,
109,162,574,210,938,863,677,553,216,352,046,538,545,576,584,135,147,246,434,
716,905,405,908,184,661,918,504,999,570,342,827,619,576,550,457,170,664,914,
116,718,098,226,803,451,127,839,253,258,574,351,309,122,115,932,066,623,341,
288,337,459,667,597,970,311,289,089,477,268,463,432,374,484,618,352,090,082,
962,696,843,900,746,390,607,631,004,828,756,009,003,057,956,996,795,771,924,
595,457,315,379,490,285,119,870,364,270,568,198,490,767,034,572,832,437,196,
593,826,468,416,665,877,761,630,230,690,935,326,233,593,143,808,449,658,678,
968,806,612,508,880,658,616,355,882,866,470,707,378,413,315,840,148,749,476,
711,338,816,223,954,043,107,889,934,231,757,903,632,877,434,340,808,011,055,
778,145,303,780,496,973,635,839,729,454,867,161,550,087,778,995,133,932,174,
870,110,609,216,374,883,811,309,548,958,531,755,079,230,286,497,996,653,932,
336,230,351,054,996,070,210,137,426,615,771,532,869,983,803,236,074,040,581,
643,036,172,069,350,191,834,750,048,667,373,978,643,872,432,512,286,167,689,
450,640,553,259,882,851,475,801,644,925,138,549,198,438,398,306,343,930,665,
092,268,961,919,237,861,477,121,820,548,536,876,048,093,652,582,287,155,004,
173,386,719,544,884,869,727,241,595,867,818,177,369,370,384,816,814,032,790,
960,855,992,495,502,685,595,533,057,246,940,432,928,348,509,542,840,936,917,
785,948,680,241,027,443,854,149,269,726,526,974,123,325,257,173,238,556,636,
829,473,779,848,346,198,178,195,952,969,114,498,686,885,385,679,753,373,572,
526,357,012,565,390,578,843,485,265,217,546,951,659,908,030,145,217,481,875,
079,987,828,629,524,542,762,534,630,874,988,131,361,678,632,748,895,166,623,
645,258,785,610,772,961,647,842,665,092,613,756,351,480,821,227,573,422,530,
374,548,200,963,835,795,532,096,911,172,574,564,488,169,809,763,730,960,987,
430,300,147,188,594,657,401,989,558,133,331,741,580,584,879,963,312,965,230,
313,315,776,661,464,519,216,265,950,703,015,466,609,493,403,612,816,101,781,
818,271,234,622,541,137,688,796,916,658,209,536,939,707,176,141,066,077,671,
100,825,834,844,271,276,613,001,803,749,549,364,307,706,611,214,129,062,931,
388,340,409,677,404,372,146,164,115,799,032,056,530,945,796,612,510,994,326,
749,455,300,015,659,598,150,678,519,408,524,831,665,857,683,660,114,773,320,
187,379,547,795,969,125,924,947,712,023,639,418,425,967,182,254,653,553,065,
029,911,500,869,026,378,095,902,887,394,694,407,483,766,194,734,710,654,984,
373,657,700,549,690,086,610,621,099,866,669,033,566,118,673,360,056,343,538,
726,178,510,330,540,020,963,006,420,083,917,532,903,175,388,848,091,915,081,
672,058,909,740,602,481,636,185,413,691,991,219,330,721,406,421,857,789,329,
871,770,219,718,736,426,906,379,883,682,531,427,872,911,655,229,341,840,975,
709,719,342,308,798,203,086,611,492,107,019,875,360,565,907,236,619,286,254,
978,249,128,278,893,569,869,950,348,414,425,261,564,845,753,296,497,017,824,
377,964,017,254,265,093,364,627,919,455,228,262,586,253,407,931,830,991,520,
838,218,131,501,169,204,837,295,769,140,668,530,833,570,796,428,557,661,713,
948,015,613,442,144,528,480,312,513,148,001,103,876,660,490,043,341,535,483,
781,797,587,676,094,505,199,225,818,520,370,708,061,449,237,394,525,795,633,
522,002,561,787,539,719,865,121,152,087,628,740,681,234,067,487,804,066,569,
563,900,284,751,949,299,806,374,295,309,679,191,991,667,956,938,159,255,823,
655,173,998,697,414,160,708,284,964,146,860,271,320,551,474,298,323,143,541,
942,047,542,261,872,427,088,944,173,800,957,384,441,775,810,139,097,083,891,
496,539,890,447,882,870,954,250,336,508,431,532,426,961,187,990,264,405,728,
909,095,641,414,887,000,152,288,275,099,645,571,756,501,574,802,224,113,417,
360,249,191,701,797,892,952,907,204,252,419,270,743,468,007,482,344,411,762,
361,582,943,067,685,584,849,820,133,551,980,972,993,266,239,991,185,277,580,
380,397,821,855,747,407,717,896,656,298,534,779,748,653,757,883,267,221,392,
511,787,888,978,793,783,988,046,207,296,609,921,000,882,205,955,601,489,116,
049,029,388,289,165,676,625,014,719,528,598,343,855,355,239,205,616,130,977,
293,141,990,503,163,114,883,470,571,796,757,248,256,803,087,878,123,015,546,
054,605,398,350,760,545,454,763,539,271,920,257,827,380,489,907,789,675,120,
297,212,063,601,009,864,729,406,012,066,249,846,422,911,236,062,037,059,021,
197,250,001,541,461,917,320,549,270,744,802,046,389,853,823,464,730,899,709,
085,137,428,520,059,076,359,047,621,073,688,818,082,362,664,659,347,183,696,
122,299,750,936,995,523,392,365,082,365,357,581,444,665,836,699,256,942,733,
048,951,148,067,681,655,340,913,147,199,643,156,250,523,104,075,159,154,887,
676,814,882,626,219,781,690,022,171,293,863,300,765,756,208,728,824,619,501,
587,222,569,663,178,328,869,224,838,648,444,052,693,696,418,408,978,939,072,
413,048,767,297,855,712,474,130,095,128,634,319,581,597,692,045,572,657,147,
157,604,953,175,918,475,463,567,035,804,799,334,481,327,101,783,435,239,040,
440,854,047,867,260,095,647,735,684,562,124,550,699,742,137,942,131,610,753,
838,964,915,422,451,660,938,518,514,790,274,527,321,145,176,221,299,814,696,
311,123,966,110,685,420,958,066,373,156,585,722,275,331,637,946,297,802,216,
750,915,602,097,007,738,989,311,113,270,760,836,088,073,601,271,684,143,631,
229,508,461,311,499,929,926,839,945,691,575,825,843,411,087,217,449,108,006,
882,428,479,891,964,406,073,112,203,997,693,662,483,357,147,411,440,352,044,
715,058,246,535,761,488,501,105,936,779,707,600,050,489,282,528,618,402,394,
934,733,982,625,702,936,322,402,384,825,881,807,609,309,510,013,205,420,572,
995,475,179,824,428,110,049,673,118,372,929,585,036,276,985,882,908,941,213,
617,883,317,902,018,708,794,648,145,194,285,450,367,944,854,778,704,799,921,
479,350,954,339,696,801,764,014,281,219,228,111,060,294,701,602,913,719,378,
230,614,307,260,049,434,312,184,998,554,286,205,394,908,520,978,742,635,468,
598,841,595,411,409,310,601,148,718,367,094,718,092,259,141,498,696,624,400,
129,763,534,473,174,095,774,566,791,071,781,614,372,072,627,396,243,532,243,
927,138,581,532,847,285,489,436,524,020,751,846,413,307,545,589,906,639,612,
115,101,233,433,309,250,792,856,470,158,861,510,460,963,298,284,392,464,937,
917,396,231,414,281,584,197,371,316,949,873,064,336,652,415,082,036,966,199,
450,074,327,429,617,248,422,770,221,239,549,694,616,846,300,835,640,243,778,
721,304,874,085,679,894,078,004,012,713,858,794,305,241,954,640,702,180,973,
405,613,522,439,935,857,530,514,536,967,364,521,919,440,825,651,280,828,097,
451,890,056,240,692,516,080,450,971,753,231,799,616,787,014,588,379,346,554,
238,150,633,874,993,504,609,434,543,751,815,784,865,996,520,954,633,517,629,
590,486,399,856,219,447,472,239,434,243,267,339,227,924,174,826,611,786,687,
288,852,259,532,101,114,669,536,784,535,438,980,961,831,037,848,057,651,701,
435,676,397,922,743,660,425,839,110,332,410,292,392,252,456,803,866,831,850,
913,064,264,803,714,349,952,888,494,557,514,600,015,551,434,588,227,736,784,
056,698,425,816,241,667,277,004,266,854,464,679,195,656,364,313,895,627,437,
353,927,282,834,647,789,532,755,228,033,387,160,592,722,944,740,315,766,393,
066,686,812,307,222,379,774,707,854,942,489,731,872,932,864,664,308,878,972,
814,916,245,862,009,855,200,193,776,158,297,105,357,557,529,668,923,781,178,
164,157,700,297,380,272,995,722,224,424,526,677,123,954,498,259,269,602,560,
820,167,403,019,327,001,366,994,822,776,591,978,428,021,150,527,073,236,121,
910,058,138,234,978,463,519,276,776,824,240,119,477,184,741,014,644,069,101,
064,576,499,697,677,112,674,465,530,899,440,935,956,091,298,282,473,952,106,
311,683,790,974,643,940,155,289,536,119,565,156,963,818,798,917,995,238,181,
909,495,964,802,098,593,708,884,232,686,096,587,768,269,423,136,616,482,878,
844,053,042,152,116,988,382,268,723,761,980,095,190,725,278,767,497,496,308,
339,219,651,873,268,976,590,208,571,763,816,616,048,459,394,826,131,945,196,
828,924,128,948,446,043,900,497,660,074,467,661,452,387,767,695,204,090,783,
765,119,088,102,419,687,873,691,205,248,607,645,206,449,722,311,454,204,931,
454,593,800,271,289,682,706,555,134,889,938,075,934,512,218,637,473,139,890,
644,809,282,410,423,731,778,927,859,888,769,270,684,521,544,629,065,113,405,
395,360,546,961,082,120,220,453,504,980,421,546,521,017,025,740,593,463,671,
699,804,605,428,734,687,964,060,541,942,183,833,600,845,713,163,568,651,554,
301,264,911,385,149,406,532,427,761,696,388,552,095,124,491,892,677,888,569,
864,036,319,838,232,053,027,516,262,335,265,605,366,969,441,664,863,040,551,
880,379,878,909,103,232,114,061,400,484,358,190,472,662,006,062,179,000,548,
943,576,976,963,866,903,268,884,499,938,152,257,352,053,470,825,911,816,276,
090,135,273,757,347,664,026,506,347,424,372,186,107,679,179,650,340,709,872,
896,694,861,071,177,981,881,365,817,774,079,015,527,966,475,355,361,767,527,
776,381,013,140,830,784,749,177,457,901,805,894,377,417,725,233,934,478,946,
757,376,937,579,185,528,982,257,492,705,382,444,230,121,747,537,770,956,712,
864,607,857,230,206,033,788,633,852,917,292,739,111,079,242,000,148,106,771,
645,745,233,935,596,842,995,758,707,791,530,309,941,899,718,517,631,830,711,
850,140,428,492,453,746,771,067,991,251,695,532,521,569,342,732,095,936,350,
064,117,511,990,456,217,674,836,360,516,807,672,099,736,371,768,504,744,166,
065,866,964,112,521,037,364,463,635,250,079,169,748,772,624,920,109,526,087,
498,561,014,150,214,647,448,520,409,584,106,163,662,278,269,414,233,490,725,
851,342,848,724,114,247,311,212,884,692,962,624,051,125,654,250,312,610,880,
922,201,456,109,524,637,534,513,528,513,877,877,393,117,504,308,369,979,487,
104,957,590,309,439,028,431,030,979,178,150,109,086,081,783,483,246,387,467,
326,682,033,965,232,180,676,223,487,037,544,745,411,912,014,571,585,256,303,
155,896,230,404,534,373,305,879,059,788,288,130,645,462,686,031,612,277,871,
842,277,086,290,205,211,444,061,525,601,272,396,518,341,869,985,671,508,888,
100,867,107,435,764,720,544,128,969,398,321,628,732,302,354,810,894,377,413,
941,042,716,080,554,841,103,157,018,602,575,398,315,141,577,135,796,951,103,
572,209,501,277,716,372,365,308,654,166,689,695,387,368,818,739,441,675,860,
666,041,334,862,750,559,012,046,044,500,227,117,217,712,356,388,642,025,873,
012,760,449,631,419,597,032,455,101,810,534,518,461,849,634,220,787,602,352,
959,622,594,113,434,964,214,150,111,905,011,692,100,684,274,042,597,252,502,
431,042,145,226,250,385,329,214,309,035,687,014,447,512,373,832,382,524,739,
523,886,978,246,000,279,847,603,942,370,684,120,831,257,392,736,900,839,182,
990,801,145,201,346,296,722,405,595,953,274,776,027,317,738,362,853,193,469,
061,089,412,225,987,951,221,475,835,102,894,632,070,212,436,870,519,120,742,
262,072,816,768,087,035,895,922,687,900,392,442,869,985,382,925,752,302,134,
785,880,912,492,449,214,201,490,016,535,632,341,075,707,140,549,767,902,069,
411,532,361,814,906,811,695,718,781,943,477,846,102,483,897,419,154,523,215,
411,944,441,008,991,906,826,013,910,059,172,943,296,452,649,047,672,909,647,
288,359,571,692,143,097,029,248,176,123,316,861,099,698,285,878,120,282,607,
467,943,688,218,260,753,416,070,315,951,591,742,033,366,923,360,612,482,539,
319,092,411,386,172,109,168,046,001,364,771,979,390,508,943,719,070,472,132,
553,032,927,426,708,734,456,954,546,557,878,701,018,662,647,123,426,350,597,
267,479,130,964,536,883,043,498,709,852,534,888,711,650,561,582,549,895,272,
957,523,754,451,145,240,481,844,447,804,925,076,979,357,394,179,213,121,755,
697,040,749,992,656,119,601,281,672,110,111,212,299,569,413,056,106,603,486,
514,070,549,166,191,014,624,072,313,298,819,121,904,960,759,453,123,724,660,
367,256,563,220,280,889,908,869,794,127,628,464,964,083,261,330,127,548,509,
672,821,174,306,206,117,560,248,098,049,135,686,588,676,094,291,437,457,883,
160,907,656,872,631,270,504,051,037,903,010,242,172,399,429,229,806,084,364,
677,411,294,442,085,074,794,146,013,567,330,803,697,461,244,437,329,629,422,
281,210,568,283,677,254,910,547,700,034,574,442,373,991,537,438,938,591,239,
829,197,988,192,234,125,815,243,734,239,365,766,027,195,198,087,648,177,105,
258,087,981,185,386,008,170,835,134,772,698,971,265,688,151,851,144,472,285,
320,073,590,026,418,001,327,084,275,011,725,474,910,559,545,335,918,887,161,
639,478,187,964,037,621,657,448,604,327,922,432,526,852,246,269,798,359,323,
695,957,524,283,190,034,941,757,269,206,555,048,683,940,282,417,030,212,388,
767,584,764,110,723,237,026,263,015,444,536,360,726,035,991,366,632,567,526,
168,114,485,730,125,331,091,186,481,815,606,449,285,721,146,604,552,612,411,
587,606,235,955,905,434,247,211,350,496,452,601,606,411,379,984,983,175,439,
638,079,362,505,994,052,033,183,659,319,380,138,945,080,716,378,431,217,086,
780,706,707,020,059,928,370,076,165,350,549,531,180,560,463,848,607,166,779,
787,598,294,142,749,969,283,694,152,742,988,247,346,569,334,306,549,985,947,
309,713,751,744,230,017,381,703,197,306,646,604,350,838,992,899,759,575,294,
433,717,107,661,905,329,331,134,668,648,850,308,010,851,413,190,861,619,285,
327,818,411,639,921,949,772,051,419,863,641,081,804,620,556,766,221,468,897,
481,001,308,944,146,546,687,202,759,066,507,144,514,079,974,253,975,714,242,
260,913,644,319,324,715,970,297,248,395,583,038,751,043,108,761,721,284,286,
120,555,186,695,686,408,833,476,809,265,178,003,337,174,661,843,963,293,773,
978,886,627,769,334,470,623,304,319,200,847,066,997,333,927,169,565,181,846,
819,492,015,513,831,442,443,693,322,769,100,174,800,049,412,318,204,242,260,
898,626,674,149,721,221,251,339,116,925,018,605,436,701,762,695,961,021,545,
961,744,491,514,483,504,872,775,168,159,488,731,891,809,667,780,036,671,448,
566,188,822,564,831,636,811,679,859,352,276,758,933,707,745,271,939,295,596,
425,017,703,868,031,832,687,720,651,561,662,893,463,836,878,538,212,949,576,
818,255,489,617,430,614,015,345,706,258,912,698,998,442,928,633,545,733,241,
290,957,081,076,029,826,323,768,704,643,910,669,379,995,809,529,051,021,821,
952,654,594,505,944,332,844,143,674,373,416,047,684,143,611,575,704,110,220,
514,076,316,722,231,653,875,119,089,003,913,282,539,737,534,422,877,064,720,
793,634,765,718,091,497,678,511,557,166,458,347,477,410,095,218,994,321,083,
628,521,213,674,696,005,186,251,387,000,060,443,853,616,540,724,283,895,580,
834,739,689,214,214,122,734,419,459,019,557,528,945,230,493,434,044,289,092,
656,121,826,899,672,128,127,992,355,950,319,995,914,004,622,635,393,339,436,
251,724,176,628,155,952,577,136,964,728,510,794,576,177,450,172,418,862,200,
724,978,560,948,024,071,991,063,012,754,331,563,863,403,559,408,921,359,395,
724,330,319,810,355,167,239,696,036,069,211,255,882,023,274,400,694,124,326,
953,156,965,289,086,469,761,159,569,418,564,255,925,635,508,823,366,008,964,
140,574,391,912,873,700,482,284,422,784,249,933,113,113,994,884,816,615,263,
051,994,522,627,235,199,650,458,799,418,242,661,722,481,069,535,918,590,727,
240,897,898,577,422,002,440,534,342,096,135,672,826,949,432,956,248,626,599,
269,739,071,135,875,474,108,537,592,128,987,406,813,483,249,306,135,810,508,
931,316,526,373,313,055,773,047,967,915,477,487,952,332,002,855,897,385,847,
138,364,228,540,808,610,999,503,849,887,609,442,988,427,763,249,979,547,969,
734,476,309,359,893,094,407,347,452,018,932,558,070,670,887,396,634,089,395,
023,462,367,998,841,682,721,945,812,121,936,509,361,963,227,305,883,524,947,
132,506,083,476,771,944,993,384,908,816,962,731,139,388,115,640,792,051,119,
701,845,712,077,673,052,482,690,618,035,288,044,084,495,304,056,679,220,809,
499,587,698,772,635,527,396,884,424,813,391,384,583,247,808,501,081,180,237,
085,431,043,413,766,280,401,158,643,136,633,478,026,813,994,450,053,814,897,
515,680,914,476,453,890,734,846,655,389,322,776,824,974,015,696,247,178,866,
566,003,371,584,618,227,051,106,456,571,961,000,835,828,438,487,190,648,625,
899,125,738,791,054,602,844,643,032,578,601,370,275,519,480,650,378,366,410,
503,221,558,426,202,723,504,058,889,036,798,273,392,954,232,881,291,056,646,
363,034,092,070,813,674,668,036,183,623,684,362,865,500,987,657,943,745,924,
342,155,844,343,663,547,594,951,452,547,591,907,525,889,108,848,257,016,136,
484,794,249,736,105,116,692,005,227,593,210,655,869,075,390,515,219,574,514,
088,345,350,705,481,649,150,119,592,256,650,228,281,179,177,893,114,433,498,
475,468,143,816,587,389,376,859,539,674,132,186,100,478,342,992,483,648,208,
749,761,218,669,333,845,743,216,873,077,906,401,853,493,551,463,495,791,466,
929,786,511,709,655,892,798,610,138,686,540,182,388,817,682,262,269,223,415,
934,105,965,998,723,581,661,700,802,699,110,724,739,008,306,388,438,910,688,
233,697,155,258,892,869,871,253,095,083,389,027,675,702,963,650,591,906,791,
827,746,084,340,141,658,342,379,936,146,082,817,174,327,825,777,268,248,003,
259,662,475,990,069,784,777,660,439,835,049,647,193,092,700,031,028,053,813,
574,694,563,857,416,362,112,048,404,193,242,531,064,778,367,040,976,710,994,
787,920,027,526,426,463,466,711,196,484,349,353,129,897,284,283,787,017,426,
621,948,156,057,762,951,922,722,213,375,322,366,714,079,059,625,412,272,402,
699,387,261,612,262,986,008,670,226,060,283,974,808,390,517,674,913,321,310,
123,975,052,765,719,227,027,033,050,323,620,485,287,183,786,687,600,163,191,
978,382,452,451,896,488,659,466,827,851,800,962,668,632,630,395,750,842,495,
176,322,532,619,151,734,834,616,294,566,848,326,584,820,925,134,334,761,193,
415,908,975,078,183,773,297,717,959,856,823,371,461,899,669,247,850,753,038,
931,500,437,401,957,520,739,418,765,582,181,115,383,945,429,998,895,015,788,
547,073,108,448,979,957,993,356,553,387,794,209,431,523,255,553,812,813,605,
589,627,077,643,240,283,367,001,000,091,118,050,814,020,137,297,052,160,845,
687,539,436,688,606,627,061,023,783,987,262,366,379,000,605,158,077,775,315,
956,410,625,204,965,767,291,302,894,531,653,848,147,392,538,698,023,076,004,
190,589,842,079,870,246,990,607,111,738,722,864,705,415,132,436,811,234,365,
893,627,020,036,559,199,680,683,984,587,277,124,794,386,275,205,560,525,484,
654,756,490,320,891,992,189,400,938,486,409,101,864,555,276,031,274,881,263,
868,300,808,626,078,018,887,716,869,740,845,666,187,842,824,414,131,514,054,
440,680,498,971,325,679,304,640,476,238,651,031,275,697,763,315,012,968,478,
521,785,038,040,091,384,072,356,545,517,020,971,650,968,182,374,508,968,616,
374,016,854,835,698,554,906,197,038,302,079,683,798,075,537,207,706,795,288,
475,992,332,714,375,979,147,839,958,265,473,241,487,052,779,246,670,171,764,
886,602,139,120,201,224,235,223,646,004,468,867,548,994,261,027,720,264,284,
594,556,504,115,134,589,085,086,806,614,130,083,113,719,453,752,463,526,476,
414,577,761,512,495,547,234,904,078,048,814,121,185,466,560,498,698,889,229,
718,133,364,553,974,550,978,405,776,739,735,303,864,692,506,155,661,138,248,
011,709,740,979,558,257,571,121,691,705,132,388,939,175,383,488,202,471,822,
815,368,116,175,383,916,149,121,069,338,431,870,874,362,199,007,312,202,227,
488,331,397,666,344,249,974,236,643,462,538,761,144,547,603,169,193,116,720,
588,584,207,647,674,247,247,287,061,248,833,559,516,622,980,013,980,838,738,
998,014,890,342,708,921,202,842,629,707,390,771,056,701,174,517,883,284,476,
542,330,808,287,084,204,609,916,455,888,754,620,265,348,003,471,246,868,488,
681,194,995,983,151,087,905,509,655,495,638,077,916,772,602,635,419,732,317,
423,322,294,166,860,121,976,760,372,073,003,026,021,700,775,853,313,595,009,
254,679,439,203,353,036,362,300,188,985,335,945,029,560,916,616,300,289,436,
382,062,820,458,152,545,137,813,751,537,331,567,789,228,902,233,483,264,465,
525,936,374,966,677,961,051,123,834,036,429,374,248,654,983,271,766,634,737,
543,315,819,909,186,614,136,954,922,095,342,095,263,711,053,870,835,031,147,
272,177,185,044,090,512,982,274,084,232,499,947,309,884,095,599,381,718,786,
572,013,641,900,375,507,898,723,614,587,225,687,060,372,085,857,433,381,096,
409,199,386,852,593,594,987,908,899,085,153,635,984,005,520,753,240,061,765,
891,807,392,908,346,896,459,301,587,297,154,705,201,266,082,615,981,435,972,
678,798,747,088,849,795,612,020,174,754,539,327,599,787,733,391,980,701,137,
066,892,221,552,704,997,308,541,619,368,186,475,652,147,484,958,530,340,502,
213,087,288,628,595,626,690,143,980,618,957,799,587,092,010,466,496,095,400,
712,912,909,074,433,615,710,350,746,126,461,948,595,409,749,337,739,072,144,
114,137,146,427,170,219,525,661,813,896,737,645,235,993,462,949,134,048,337,
129,293,162,293,079,344,944,167,730,930,086,891,094,429,008,851,313,829,230,
269,430,311,077,099,618,414,358,153,703,825,807,833,902,031,361,722,955,056,
175,692,542,592,250,460,965,429,642,117,259,588,305,626,164,863,673,753,997,
056,195,195,744,978,870,173,599,484,137,285,240,112,718,858,969,084,988,252,
404,030,182,427,549,427,948,071,007,142,553,835,744,201,824,161,210,499,794,
717,379,315,889,568,396,111,189,598,306,745,706,172,891,976,609,525,795,081,
899,310,079,654,805,644,312,967,489,732,640,417,930,056,486,193,015,466,044,
311,543,293,729,109,239,356,342,392,464,569,622,590,263,605,136,887,077,205,
181,071,631,219,088,019,351,508,359,814,111,398,508,687,473,904,153,757,203,
452,455,015,877,405,113,640,266,721,224,460,868,952,899,139,269,713,681,938,
414,287,079,553,297,721,801,756,971,955,942,250,635,493,069,118,472,222,317,
433,730,231,848,704,886,359,412,997,281,351,487,406,709,163,075,023,630,773,
569,756,544,728,223,132,596,663,685,281,608,014,792,030,942,071,528,214,808,
311,547,610,794,599,472,332,298,584,564,789,337,200,381,472,042,930,950,550,
531,032,932,127,916,551,688,266,305,526,386,240,763,818,274,161,693,700,716,
389,724,863,074,103,829,144,635,038,753,898,026,469,723,741,441,867,196,193,
048,586,080,888,914,442,649,224,028,056,810,657,270,207,893,881,765,460,557,
794,184,754,812,850,179,541,290,694,034,755,067,033,256,244,501,758,291,512,
380,416,519,428,729,263,938,403,724,307,261,957,642,925,770,079,798,560,469,
548,589,403,192,904,979,340,345,821,236,853,249,130,068,733,270,520,961,772,
853,989,872,605,176,284,726,597,977,523,829,281,166,060,725,988,431,911,132,
808,423,744,384,821,591,329,547,192,014,964,776,061,061,600,933,413,879,865,
083,343,666,144,145,180,734,869,916,021,096,977,132,234,122,765,597,005,322,
094,911,447,372,574,305,823,792,126,976,546,766,733,943,998,651,982,951,710,
817,235,679,133,336,957,094,148,859,168,177,507,739,590,828,998,301,973,108,
241,314,923,687,407,289,605,177,370,654,106,961,005,582,537,432,106,930,049,
005,317,649,088,325,629,248,441,544,728,140,011,138,030,449,699,239,813,859,
033,667,444,763,807,936,348,706,293,410,421,459,523,844,438,708,434,566,528,
943,312,360,024,373,837,624,849,171,121,583,955,182,123,458,929,532,965,345,
888,333,635,984,041,388,297,443,967,272,091,580,794,338,190,945,785,273,706,
864,580,397,520,374,439,371,031,809,349,235,066,605,633,096,592,807,415,296,
588,634,722,362,868,250,503,885,294,624,113,925,311,937,019,071,080,015,544,
112,023,553,656,738,092,671,884,070,666,451,336,267,395,977,816,651,626,875,
427,730,136,163,475,684,800,168,910,151,366,447,909,055,905,836,328,915,457,
073,953,669,642,357,126,733,396,947,088,822,263,562,623,203,937,626,265,102,
346,399,413,831,266,925,208,138,061,250,548,166,969,404,964,203,556,176,496,
036,790,385,896,664,222,907,538,418,251,443,902,711,731,665,721,502,745,744,
018,022,632,642,568,799,688,976,856,617,956,934,362,951,919,600,128,189,697,
654,382,009,998,831,277,764,807,830,057,598,583,808,597,691,964,095,182,482,
196,970,452,483,301,631,068,466,068,213,453,986,250,593,876,388,939,632,979,
320,938,435,672,843,471,681,143,246,867,119,429,829,475,677,455,893,230,879,
788,211,486,901,370,585,509,129,035,768,725,156,909,845,013,316,436,880,073,
681,583,051,162,242,558,330,514,913,037,198,986,018,247,160,331,895,688,089,
559,422,179,837,327,336,170,385,990,280,262,113,358,537,593,118,506,529,367,
388,958,592,318,160,654,602,917,417,300,154,721,036,329,553,721,688,325,677,
657,603,621,795,544,813,410,201,562,778,965,626,944,455,685,424,974,029,586,
816,344,091,860,018,727,998,978,301,435,032,036,522,544,034,663,498,477,748,
607,351,981,956,475,369,733,032,815,181,434,810,616,598,358,221,863,552,249,
211,636,341,066,551,099,865,675,501,459,036,064,209,643,495,279,149,635,207,
924,312,806,851,892,544,933,806,178,841,771,922,828,708,385,293,708,567,160,
510,977,822,798,297,939,815,932,883,779,202,524,463,228,237,403,207,594,791,
962,938,716,480,531,745,802,437,173,964,379,704,997,107,555,327,698,040,171,
105,368,201,752,398,688,541,847,656,369,323,696,292,433,340,200,232,429,776,
820,387,739,736,604,533,610,259,217,922,147,917,528,201,449,639,451,757,825,
137,789,271,901,770,443,243,436,381,431,449,228,728,839,950,408,650,539,353,
544,146,156,312,904,959,005,357,054,251,244,220,944,150,041,654,205,504,661,
745,233,229,965,472,795,577,236,785,682,247,105,138,664,240,935,395,045,886,
180,236,165,941,979,746,824,217,862,888,354,702,455,625,907,119,451,846,301,
993,949,556,487,954,617,554,152,757,820,588,560,144,529,930,265,581,168,409,
544,330,482,840,558,593,316,380,293,357,132,294,946,420,249,613,096,027,749,
855,936,775,646,882,090,709,711,203,212,932,051,879,757,464,154,941,945,613,
016,348,948,269,990,131,265,121,130,507,203,958,385,965,099,299,058,384,611,
392,017,221,310,297,374,888,549,171,407,336,352,209,581,323,822,975,649,113,
732,942,797,099,079,962,951,314,501,864,889,464,298,217,253,180,333,706,059,
749,430,969,837,253,423,945,466,765,224,868,591,893,730,492,520,670,184,665,
581,305,890,246,538,863,317,577,638,958,003,222,795,145,100,453,531,974,879,
346,434,616,714,740,903,280,201,372,351,327,571,372,695,135,578,972,426,601,
097,116,104,735,677,162,071,350,984,908,765,484,117,625,105,899,140,755,570,
328,703,529,431,695,432,962,221,754,663,289,459,128,615,057,129,035,421,356,
538,900,396,231,466,078,970,701,792,887,499,745,120,036,501,998,616,135,878,
460,045,753,359,823,462,596,947,182,566,069,230,550,299,224,003,009,384,079,
753,706,508,191,557,779,976,040,744,865,056,249,357,732,174,717,828,134,013,
355,906,583,684,269,735,561,045,582,176,314,159,803,351,063,563,254,078,971,
280,072,473,229,075,505,054,071,484,331,052,400,097,419,705,898,276,884,253,
802,926,845,170,002,644,354,926,016,521,260,337,410,229,015,438,533,824,087,
346,384,334,895,247,328,558,088,881,877,388,244,099,781,101,740,305,642,613,
063,141,550,576,049,370,141,735,436,516,654,821,218,863,186,219,504,264,873,
247,683,872,587,072,205,020,083,644,488,484,062,665,392,651,288,587,553,608,
381,346,383,432,510,756,718,884,345,433,039,153,333,048,765,916,160,762,700,
313,108,920,687,553,012,726,435,185,259,845,813,201,525,295,963,920,268,857,
383,280,212,522,484,917,246,227,654,816,501,517,837,268,519,404,256,744,312,
588,485,108,557,453,390,955,293,324,038,748,832,618,052,610,719,746,671,816,
293,400,498,415,713,415,289,812,800,262,734,959,792,913,728,613,001,881,841,
887,069,778,726,382,992,502,582,516,131,276,794,106,865,155,104,287,825,225,
835,797,553,184,621,258,457,962,959,940,846,671,811,589,456,929,710,343,254,
168,575,189,245,216,626,810,157,634,667,812,931,954,664,069,065,356,266,847,
097,711,573,790,084,890,228,235,395,802,940,283,178,692,746,296,409,608,314,
010,940,468,331,161,316,956,139,065,162,939,542,909,796,937,272,262,463,249,
354,809,412,307,483,767,485,324,300,089,436,243,363,557,622,567,744,976,594,
949,032,956,991,813,853,797,132,388,965,096,427,292,331,448,822,288,860,702,
509,867,238,241,395,878,130,936,412,359,090,001,273,556,913,972,848,417,888,
389,873,442,846,214,745,649,141,122,976,691,538,452,930,741,315,708,421,474,
433,908,989,531,947,900,626,958,712,725,817,092,008,121,895,712,518,071,597,
385,336,349,404,802,120,819,197,608,983,792,511,728,771,245,837,324,176,610,
197,622,373,618,509,981,352,037,064,284,182,576,229,368,541,441,310,534,047,
820,973,102,162,859,070,024,378,444,439,402,576,966,369,462,504,648,190,926,
440,611,927,452,944,969,213,405,461,241,536,098,005,569,639,248,687,330,204,
770,646,274,458,928,408,776,765,402,413,909,267,721,856,251,275,633,707,800,
852,935,004,724,937,396,206,647,226,317,898,694,540,620,435,050,700,275,156,
464,991,880,868,006,071,671,881,929,648,376,009,000,775,408,682,931,240,113,
742,100,345,325,525,763,315,161,171,107,659,523,042,908,550,178,477,597,878,
049,661,485,497,659,973,705,988,739,588,510,604,384,323,159,418,068,580,687,
539,740,468,487,450,274,712,586,778,761,774,160,266,331,026,688,808,432,364,
335,395,465,173,451,919,017,543,103,009,377,851,042,427,228,629,612,040,092,
114,245,937,713,645,823,579,874,113,089,544,280,968,850,506,137,703,778,596,
003,552,236,886,735,004,162,326,239,664,599,377,436,419,777,289,417,633,584,
160,101,646,060,421,031,368,529,337,191,069,547,117,959,558,918,655,157,405,
273,799,527,111,010,698,125,905,881,597,671,165,300,284,397,972,184,087,782,
873,592,503,969,811,479,805,765,449,418,038,468,326,765,185,186,264,842,880,
474,258,813,256,592,481,633,569,824,549,106,800,239,375,492,198,432,029,680,
924,320,494,947,197,639,580,432,157,089,430,338,137,335,427,126,342,688,436,
918,572,987,708,347,846,915,059,988,681,741,416,613,336,081,954,952,966,023,
849,257,403,676,946,813,513,701,275,621,601,632,778,275,464,574,613,759,887,
722,957,553,828,863,753,956,607,660,764,716,662,673,651,198,008,810,026,250,
870,318,801,729,549,492,479,445,757,724,465,676,204,949,505,489,866,149,172,
239,333,934,828,963,906,266,073,782,334,513,295,943,786,333,013,308,686,066,
303,873,019,405,995,346,611,324,129,087,109,475,704,053,745,035,996,154,539,
563,736,106,705,910,624,908,620,068,697,518,659,959,884,912,083,065,052,179,
475,606,174,362,888,020,183,303,881,796,669,726,632,463,685,162,230,813,674,
893,501,754,559,389,110,886,509,379,766,181,489,423,257,033,222,943,693,322,
803,956,892,529,723,851,593,043,073,452,772,606,614,839,963,714,963,655,645,
256,899,636,568,442,641,163,171,360,855,842,770,807,346,161,190,843,626,216,
809,719,259,632,146,144,903,423,643,550,057,249,679,871,518,778,967,932,451,
244,168,312,375,823,436,982,600,493,758,353,144,269,919,823,170,402,289,061,
505,784,150,599,932,095,619,598,976,526,334,052,633,540,156,006,393,954,230,
721,248,153,550,357,994,356,134,830,501,274,229,184,223,056,651,075,695,491,
227,997,580,751,574,027,786,391,743,247,034,085,650,725,425,772,878,880,282,
154,536,381,437,577,204,339,691,985,105,152,953,539,184,682,255,312,445,460,
181,880,862,410,333,297,159,224,405,210,383,731,173,949,348,524,224,314,240,
033,755,233,342,829,661,458,222,957,720,205,966,258,364,348,390,888,262,131,
220,514,689,580,504,999,528,362,508,971,015,746,309,258,217,841,356,662,778,
843,807,236,258,729,531,761,856,587,044,738,599,198,079,481,707,236,700,961,
878,652,151,145,392,176,956,311,261,844,478,825,395,858,565,596,814,215,686,
414,156,960,064,511,308,411,214,737,691,050,358,421,338,391,408,965,776,340,
180,253,327,123,226,586,053,618,149,948,862,475,448,019,024,735,224,934,604,
874,983,466,707,111,546,047,752,934,911,958,124,420,208,726,858,320,307,839,
498,804,012,440,597,782,756,547,770,065,140,276,750,133,935,345,469,936,668,
973,403,361,362,319,922,749,940,270,497,333,891,144,889,656,935,265,377,256,
326,682,914,377,419,880,257,395,417,274,531,682,608,902,123,049,959,101,611,
977,999,235,231,120,163,958,331,458,799,457,991,515,715,572,980,086,499,785,
457,928,771,247,349,625,422,844,479,151,613,864,108,802,313,136,233,167,872,
595,377,396,967,601,173,401,273,767,120,155,962,097,511,415,476,478,904,975,
790,014,445,610,495,143,262,638,509,804,353,077,000,486,059,052,303,346,198,
634,706,261,271,785,408,009,554,933,219,245,025,625,711,797,375,558,446,536,
747,188,693,764,668,544,368,959,096,863,625,771,394,594,637,178,013,792,940,
948,267,203,003,226,763,649,510,940,925,489,146,483,854,753,455,142,061,546,
933,657,261,681,464,938,785,811,273,904,260,249,755,700,518,641,606,953,711,
577,283,187,774,706,085,453,311,624,660,218,672,612,360,329,848,828,215,632,
230,804,157,432,519,129,079,308,470,476,966,556,084,793,938,993,469,514,077,
704,616,713,466,858,892,254,738,536,595,969,237,681,173,731,588,145,941,273,
470,677,741,683,442,790,139,170,023,108,197,364,745,089,155,588,442,642,008,
975,677,648,274,939,238,462,697,175,509,754,808,577,233,622,638,727,239,503,
933,418,722,158,464,952,505,071,038,969,025,981,260,474,424,773,035,752,351,
197,112,873,365,325,165,028,603,156,332,595,457,012,023,530,374,530,030,860,
429,915,639,365,273,689,700,693,005,984,671,578,518,924,492,266,731,368,995,
369,068,928,790,132,517,437,837,705,261,348,603,341,638,353,266,677,423,526,
731,282,976,047,891,656,539,428,217,558,250,283,134,338,410,858,601,998,686,
396,612,683,062,114,869,963,800,691,115,726,501,793,856,699,902,453,999,555,
436,115,398,238,476,960,613,879,488,881,061,785,874,174,296,402,995,523,792,
377,267,362,395,236,154,386,576,999,347,746,220,367,755,869,797,156,871,408,
472,108,032,930,910,183,519,148,502,057,801,663,093,641,013,392,830,900,549,
479,230,193,663,182,114,189,280,224,680,873,319,176,294,186,083,408,113,453,
740,776,016,470,934,820,323,900,074,440,017,350,219,647,822,851,432,984,074,
820,191,759,418,018,468,823,370,826,074,833,778,437,519,109,970,818,082,253,
214,598,117,161,108,466,447,268,051,769,175,857,496,792,646,397,545,315,440,
810,041,850,340,343,081,231,909,750,331,560,558,267,219,957,364,876,874,281,
924,619,812,044,484,598,565,564,436,638,013,319,216,096,884,503,241,309,850,
686,229,344,124,855,356,564,171,911,873,787,123,167,206,383,887,339,459,275,
427,213,230,748,545,428,535,305,811,843,011,586,481,226,222,302,431,869,261,
880,175,527,004,157,104,154,309,924,495,906,391,286,929,873,818,506,311,479,
134,627,964,730,856,173,307,787,885,453,035,311,341,960,038,919,415,820,681,
329,933,115,180,580,710,260,144,803,738,869,743,764,478,330,692,979,888,279,
630,193,933,808,832,091,535,676,352,634,993,234,045,684,651,829,845,702,838,
507,178,437,874,297,091,446,635,196,812,824,482,999,672,219,370,820,424,538,
463,118,965,918,156,668,093,478,929,061,890,688,874,630,007,340,610,410,589,
436,034,005,687,626,971,012,999,386,496,150,268,635,127,984,184,794,059,760,
542,695,160,215,377,962,690,001,568,200,717,875,037,484,483,155,562,958,346,
971,621,548,080,325,247,081,056,632,192,874,283,971,642,904,429,081,969,777,
008,269,885,327,021,623,706,488,069,058,717,152,447,123,332,416,236,118,848,
732,029,860,046,797,307,016,534,986,091,838,510,271,706,039,873,932,515,624,
170,584,052,595,710,014,791,680,230,823,603,229,157,188,122,522,819,006,863,
990,712,455,112,009,943,078,578,984,910,219,138,637,528,461,023,399,120,952,
667,081,933,150,367,339,331,936,696,796,762,639,351,805,594,394,496,746,125,
759,338,293,257,397,195,548,274,577,690,170,196,165,231,832,205,721,114,460,
400,880,580,508,370,470,701,659,317,373,383,925,194,945,295,696,808,518,530,
032,259,612,613,939,944,550,536,845,123,529,517,431,093,355,472,438,668,972,
162,797,836,533,235,018,870,329,459,634,282,296,920,400,042,546,419,696,676,
813,433,277,471,815,503,947,538,747,480,712,153,193,538,304,844,706,320,032,
003,015,372,911,443,574,864,180,382,487,576,693,872,127,314,863,045,829,329,
570,449,947,840,400,718,268,873,868,558,370,447,554,546,118,481,970,691,226,
369,401,136,643,735,495,573,459,700,168,651,474,295,597,932,513,858,673,256,
371,630,555,289,591,196,055,143,406,775,283,114,579,339,310,533,939,396,311,
144,846,741,576,750,442,837,711,263,295,930,525,179,117,231,021,555,926,409,
411,927,630,391,211,934,225,297,553,928,118,500,074,164,294,178,719,598,740,
821,553,904,328,333,959,251,555,653,619,709,811,069,609,024,364,757,640,667,
354,675,088,844,576,100,632,444,750,745,277,840,241,176,441,472,970,917,408,
663,732,612,390,806,097,337,406,753,854,134,918,652,165,448,852,106,109,138,
551,884,456,140,782,963,070,958,728,406,474,821,440,715,411,989,348,914,217,
129,373,698,976,990,490,061,770,129,540,090,584,853,236,258,579,623,255,993,
866,009,118,162,011,788,372,911,928,531,192,525,711,345,556,231,887,637,866,
953,694,383,944,783,797,257,213,448,800,986,128,087,655,520,187,032,400,991,
578,018,205,339,629,711,735,756,116,417,693,655,194,546,659,035,539,405,769,
851,106,986,596,928,662,996,900,666,117,410,472,914,872,066,317,083,352,630,
378,951,595,717,435,461,833,990,780,029,800,666,916,376,073,897,231,530,974,
317,427,511,828,268,981,732,957,089,729,383,595,876,073,129,407,436,162,198,
678,266,781,279,052,309,727,174,357,337,617,851,071,440,962,429,329,419,153,
259,974,891,432,083,322,233,320,106,242,309,612,432,693,558,987,096,840,227,
113,478,409,393,386,065,184,817,422,976,869,437,269,307,321,336,386,602,328,
641,526,013,218,531,354,337,864,128,581,163,678,481,754,147,978,365,711,930,
852,608,809,253,185,283,598,630,791,202,867,926,356,830,671,740,378,989,753,
218,295,904,118,596,550,687,685,924,656,458,156,698,418,287,204,872,849,394,
048,275,189,616,959,727,098,621,710,984,460,820,403,948,657,135,708,351,825,
848,912,016,825,355,064,837,124,827,777,125,305,427,053,815,311,006,270,616,
863,264,547,578,046,083,960,646,208,470,083,506,110,100,854,289,777,763,901,
137,479,102,167,390,635,533,657,162,495,372,290,628,674,535,477,793,254,684,
580,561,503,730,185,577,956,673,456,240,207,111,755,778,333,496,673,350,846,
612,820,911,332,117,496,440,631,810,383,735,933,718,751,768,425,238,242,496,
520,493,563,026,642,635,808,586,210,076,743,516,665,602,587,017,026,496,925,
652,976,970,005,510,596,122,377,029,329,555,588,480,561,491,747,642,546,928,
423,215,867,164,459,040,948,243,450,601,220,262,208,126,603,461,622,875,673,
420,477,881,071,498,069,030,868,111,911,105,037,192,873,663,122,287,355,154,
024,832,197,033,439,681,888,780,871,751,315,860,194,079,411,933,763,841,950,
554,766,120,552,644,202,910,352,373,702,979,766,096,535,426,762,454,594,199,
816,343,533,964,248,731,574,553,728,041,446,236,821,398,384,973,104,747,370,
141,417,372,243,267,535,606,270,516,313,005,721,989,202,959,591,436,891,883,
309,930,639,456,777,212,011,883,811,642,387,698,964,433,276,221,122,855,112,
540,286,328,772,337,960,093,825,759,184,581,065,799,695,082,935,864,702,251,
525,385,924,604,406,929,365,576,487,855,979,148,457,652,941,579,308,623,872,
861,285,306,011,536,344,034,014,355,025,024,558,139,973,737,903,252,898,524,
363,800,719,759,835,696,401,798,823,242,245,816,205,179,104,477,944,216,414,
896,081,562,947,355,975,969,896,260,283,632,282,942,657,425,647,501,046,513,
950,408,591,958,114,070,842,113,744,667,699,643,020,109,207,066,203,466,306,
759,465,260,698,024,729,334,120,063,741,877,877,762,697,006,046,646,835,197,
169,469,649,446,593,652,794,241,289,761,799,051,595,691,233,790,729,240,479,
048,004,762,033,673,072,473,169,269,360,883,195,356,942,768,320,260,201,857,
137,490,186,252,108,528,254,512,800,386,061,929,341,481,279,467,619,479,286,
431,912,140,976,191,628,912,664,237,447,235,527,986,270,694,982,652,609,442,
399,673,971,027,711,766,830,307,980,008,091,714,899,752,938,939,622,346,062,
720,205,202,025,333,481,313,990,826,550,589,873,006,934,211,309,069,633,533,
941,817,822,938,155,368,622,600,359,506,923,713,483,188,772,306,359,746,731,
251,695,542,612,407,450,089,941,200,283,166,462,989,594,968,188,051,923,581,
493,863,160,218,982,272,149,387,960,502,101,412,639,719,940,253,217,601,554,
245,108,299,554,939,959,048,530,183,577,703,846,276,402,508,367,437,088,157,
570,211,721,770,573,584,726,857,820,792,011,249,293,766,968,083,214,137,672,
749,074,101,797,074,639,388,993,111,410,055,826,152,350,674,794,200,136,441,
715,168,257,109,665,229,089,949,441,496,793,760,395,264,224,503,873,730,224,
502,675,938,846,637,013,749,187,543,671,410,280,906,790,869,401,453,712,469,
537,011,794,710,180,939,508,155,982,414,959,382,840,121,959,245,988,561,220,
088,895,215,717,746,355,042,767,852,895,659,812,711,838,639,463,004,812,438,
652,919,327,894,335,426,050,152,305,689,431,872,194,793,623,741,708,361,685,
948,105,226,806,298,159,589,735,222,411,013,305,855,317,442,470,292,530,965,
096,929,831,258,591,496,376,534,668,863,870,053,554,889,098,536,296,763,900,
296,334,747,976,181,892,766,598,052,481,208,184,233,292,835,421,039,010,282,
783,020,372,706,155,151,821,845,560,854,322,852,924,658,049,634,323,576,312,
231,812,154,000,863,232,203,792,360,814,918,660,313,831,634,718,562,268,210,
775,813,396,980,928,022,279,783,467,142,034,738,984,822,958,962,097,784,935,
818,959,301,459,206,033,576,650,992,964,487,677,858,714,713,660,929,430,262,
325,136,075,631,092,298,382,675,841,676,599,782,922,912,868,493,698,186,132,
089,465,373,659,748,241,157,426,703,745,474,961,313,069,087,855,686,055,287,
023,548,941,242,719,776,078,762,890,369,556,365,418,331,948,078,642,503,900,
770,737,843,274,389,374,178,365,602,859,599,220,511,225,031,002,515,028,132,
428,306,858,724,194,200,808,756,505,072,874,113,482,693,856,144,250,047,144,
097,081,839,916,290,100,225,740,809,755,267,294,352,202,374,268,131,451,099,
940,668,420,765,914,658,376,649,155,790,802,329,492,583,213,305,865,025,507,
503,051,967,486,390,456,246,662,045,002,156,649,600,031,838,713,017,761,421,
991,965,066,588,232,815,980,554,611,405,788,441,116,835,021,915,806,608,531,
487,660,114,431,254,421,294,761,250,642,058,692,578,650,373,051,256,992,714,
456,612,055,556,038,175,147,767,971,934,083,171,898,546,025,702,109,543,537,
882,378,030,756,063,267,370,018,554,279,505,155,330,462,068,873,005,113,258,
934,897,938,544,815,654,005,382,736,842,269,222,422,932,834,524,928,437,051,
392,824,850,250,543,796,095,194,863,467,291,216,671,670,741,296,218,969,890,
684,346,351,120,115,876,984,645,489,792,753,828,720,715,244,629,136,514,975,
286,059,651,009,309,254,485,676,519,507,311,414,741,860,470,607,204,496,145,
110,902,860,018,101,078,798,886,648,774,719,581,134,210,290,037,992,317,611,
253,342,523,823,507,022,586,811,753,654,243,228,375,091,718,922,540,001,508,
816,062,217,182,938,951,879,406,668,620,441,085,122,549,956,332,255,859,091,
657,939,054,443,648,217,281,227,198,646,568,416,884,413,402,592,106,121,107,
041,929,712,562,489,759,662,871,423,305,718,036,787,688,917,087,977,324,981,
610,007,159,681,438,304,196,174,040,288,722,906,919,179,443,011,436,578,344,
355,829,831,606,223,205,792,950,475,288,108,212,050,467,724,296,787,426,832,
944,234,235,696,252,610,953,132,813,356,938,178,780,994,176,392,498,442,977,
159,573,463,181,349,305,300,743,758,473,706,509,387,451,536,551,498,985,629,
125,916,773,572,267,265,383,319,115,312,968,758,418,743,512,610,557,036,871,
129,967,085,288,837,265,913,359,958,296,550,790,447,424,807,846,751,779,650,
707,018,830,372,628,246,534,539,131,177,543,911,268,448,027,872,977,752,266,
099,328,258,998,511,923,527,832,309,550,697,903,283,725,642,662,770,422,350,
265,639,961,915,338,938,543,773,410,437,586,851,237,344,974,453,352,189,114,
742,044,111,882,358,832,296,816,984,051,976,133,683,516,603,942,338,522,651,
900,031,573,028,959,505,072,743,534,325,412,678,918,221,623,175,684,421,576,
244,352,409,405,311,354,495,999,364,711,901,232,843,438,491,692,598,236,570,
987,149,434,608,153,601,232,990,630,770,855,826,611,113,706,665,546,822,764,
373,856,251,264,417,738,639,371,784,044,388,839,289,490,789,499,651,322,264,
314,878,474,590,729,848,824,971,730,991,851,434,960,833,205,146,753,050,826,
977,979,228,447,796,173,702,866,099,121,336,577,197,631,474,592,355,528,802,
158,206,083,764,115,947,619,565,352,860,659,475,803,663,032,997,534,005,220,
753,400,963,143,966,814,946,473,579,802,979,446,038,411,862,884,166,113,146,
233,787,904,678,542,323,232,483,820,814,501,899,188,855,403,785,070,247,741,
869,681,517,825,476,966,719,075,773,862,646,134,124,060,005,785,366,685,656,
012,163,108,846,101,246,851,621,414,512,455,156,958,393,808,640,145,562,233,
963,074,115,091,352,528,804,704,467,529,893,007,554,595,972,823,122,336,200,
216,211,284,437,143,581,585,286,014,154,758,717,959,362,985,175,228,419,304,
513,343,519,349,305,335,895,004,471,005,859,029,836,960,633,882,159,075,144,
826,150,902,581,432,990,901,563,336,155,436,653,699,423,650,139,077,184,675,
619,363,669,128,447,949,577,050,979,442,833,414,386,200,978,344,575,986,395,
759,627,362,771,147,215,715,426,407,314,169,826,244,181,590,837,488,761,934,
728,624,449,476,091,505,953,611,070,293,762,134,113,874,802,481,138,734,649,
470,134,291,337,368,088,066,117,340,206,011,254,063,839,444,226,235,286,979,
919,688,979,845,551,615,193,697,025,580,232,372,862,808,951,261,941,026,608,
754,963,434,588,329,887,803,961,948,558,705,883,789,755,970,121,659,754,570,
355,291,650,948,946,022,047,290,475,761,630,080,833,373,131,255,663,016,608,
954,525,009,695,791,059,217,691,090,714,945,146,944,079,543,082,277,732,746,
525,749,702,304,129,221,735,130,660,822,834,101,526,081,448,343,629,074,388,
149,855,343,473,116,830,293,439,225,464,567,653,447,898,897,952,948,843,586,
738,581,821,009,931,107,415,237,584,897,372,798,315,097,223,434,952,944,592,
454,607,749,832,938,514,906,484,421,782,302,961,116,573,339,209,098,877,063,
037,878,775,741,915,971,000,715,842,183,818,899,521,889,225,329,236,601,313,
459,402,213,235,422,013,129,912,747,526,866,030,165,423,183,174,101,116,728,
047,153,701,118,224,632,482,978,278,719,316,453,619,680,356,343,794,843,598,
579,241,644,137,518,699,421,866,608,424,286,836,886,255,726,229,097,885,453,
496,181,560,662,073,833,563,428,652,760,877,864,944,388,473,894,160,038,249,
184,914,103,556,439,867,381,189,565,198,811,867,947,312,664,946,504,764,380,
897,376,908,787,451,915,045,522,585,453,637,392,062,040,193,000,689,017,116,
583,854,626,806,973,999,244,582,006,698,440,039,412,345,128,443,847,792,724,
448,338,575,525,661,350,898,253,850,781,993,103,770,086,785,453,057,716,550,
256,269,243,178,725,089,086,366,041,777,778,078,655,674,712,117,950,971,826,
801,666,887,996,136,986,797,047,767,230,501,994,580,666,311,273,493,067,666,
649,624,491,574,837,064,656,335,781,407,591,565,079,768,537,294,607,744,322,
977,976,950,951,143,993,508,503,316,553,748,066,195,002,205,221,712,977,777,
496,688,726,771,990,981,632,995,341,006,194,683,966,874,260,296,416,747,603,
780,834,496,242,087,375,324,240,582,424,689,610,634,076,857,161,102,970,971,
627,600,498,997,807,334,246,698,491,577,102,424,274,266,915,699,709,679,828,
803,415,430,212,072,977,121,529,523,710,831,598,611,865,588,639,726,632,884,
863,640,140,276,167,746,444,981,843,921,732,005,444,092,654,201,652,265,561,
502,484,523,580,319,211,382,835,001,814,812,887,207,733,404,485,999,660,510,
273,450,015,264,566,775,283,543,904,433,385,702,328,509,576,519,023,314,281,
346,051,221,327,921,761,906,739,264,889,034,895,429,086,325,712,793,619,035,
442,956,826,099,779,654,992,659,800,776,703,302,063,380,356,775,507,873,954,
443,455,890,399,707,701,608,941,365,293,222,954,551,199,036,393,983,617,151,
013,997,669,167,665,502,160,332,476,613,546,467,828,176,287,440,323,735,723,
263,902,967,085,665,900,088,267,620,941,235,999,321,374,296,812,165,431,506,
974,460,230,054,501,454,829,418,821,569,804,131,327,170,824,658,245,776,543,
828,177,284,897,434,066,364,944,826,815,601,362,493,853,655,675,129,428,030,
628,678,241,770,984,358,491,355,124,228,355,825,581,285,719,308,428,934,185,
423,980,990,843,447,904,917,963,482,569,816,703,454,737,344,038,809,676,947,
913,250,548,495,600,087,627,311,857,095,746,130,397,596,799,986,482,425,168,
746,935,357,791,569,536,605,851,510,434,485,593,378,701,125,016,189,918,256,
326,921,761,730,732,275,468,005,076,962,304,535,713,473,112,690,649,961,973,
568,635,149,266,491,178,319,825,401,761,757,963,147,362,019,901,354,361,400,
833,287,197,406,896,787,925,889,736,927,519,094,114,433,261,507,236,776,872,
025,918,224,035,606,647,244,688,884,938,013,119,507,709,039,772,318,273,609,
279,267,160,094,038,332,108,053,295,970,374,517,805,866,340,782,026,660,143,
458,906,942,499,464,176,190,321,085,586,117,731,251,890,285,791,060,688,650,
352,409,156,251,392,670,247,317,338,931,930,893,204,309,387,139,131,643,762,
443,876,983,776,937,786,025,556,241,063,763,939,372,114,795,511,520,854,700,
732,121,552,408,801,005,530,531,261,867,953,051,364,802,433,773,963,560,366,
039,177,365,977,553,640,970,560,736,226,522,086,684,211,157,054,369,147,512,
643,671,189,114,620,627,429,275,356,321,564,583,953,714,852,518,687,465,206,
577,784,558,501,212,096,250,324,889,912,076,100,619,122,471,155,625,005,278,
693,587,082,739,854,710,104,536,661,528,473,736,898,018,965,501,205,721,939,
643,739,458,956,633,081,174,703,831,225,100,751,629,232,213,543,620,934,007,
099,772,621,302,195,759,582,490,219,076,443,294,229,346,572,220,379,263,019,
798,240,898,262,417,719,634,589,280,959,779,737,246,158,552,797,210,902,676,
359,987,611,632,609,190,585,851,321,898,579,585,546,668,469,898,504,704,778,
453,856,073,087,456,250,042,008,170,595,753,606,009,207,891,352,281,140,307,
734,781,894,800,456,196,373,276,117,945,751,460,794,003,406,155,118,103,932,
619,735,399,552,272,484,437,136,336,683,316,706,574,802,378,578,934,635,496,
972,593,120,053,205,413,913,109,212,037,773,521,194,134,900,257,253,375,184,
405,723,921,730,208,084,928,984,669,742,659,315,505,943,425,665,328,877,156,
025,996,785,773,102,377,142,516,774,989,094,154,663,872,212,980,367,475,195,
854,289,174,320,230,540,395,498,163,373,097,508,352,313,742,785,623,722,750,
225,767,304,874,443,158,013,547,577,541,263,859,933,446,992,575,663,878,212,
923,659,606,716,345,324,470,942,818,073,433,879,653,397,426,602,046,217,038,
843,856,377,767,083,168,214,131,907,487,097,714,499,864,527,728,239,013,261,
758,094,677,444,692,168,295,263,556,553,405,410,637,010,568,634,821,057,674,
725,574,623,892,106,799,486,331,395,645,364,316,226,488,933,068,938,977,295,
490,212,739,460,020,168,184,331,824,483,700,096,841,153,752,063,067,965,158,
003,443,287,399,606,778,104,522,984,915,408,545,438,932,521,574,114,623,047,
712,878,877,462,824,754,515,777,926,281,973,508,899,777,839,618,370,049,008,
289,725,128,835,498,262,479,719,127,750,692,178,022,871,344,092,038,922,868,
596,196,661,103,022,260,908,046,735,846,006,071,274,504,163,374,269,773,388,
606,310,686,321,272,098,360,849,041,584,446,197,919,463,756,632,204,707,036,
856,141,052,623,608,549,636,882,322,251,411,320,230,837,498,897,822,080,788,
676,540,276,171,636,436,346,327,932,062,259,969,065,378,147,096,799,598,332,
426,486,087,363,651,913,180,518,264,461,521,139,999,830,823,681,727,608,018,
796,225,906,763,369,439,905,135,058,002,857,633,758,130,257,072,660,884,309,
485,897,687,753,493,574,193,883,520,067,241,717,436,193,586,656,636,866,355,
018,549,988,346,686,805,544,470,602,914,529,310,959,397,350,634,632,322,423,
234,435,685,029,584,971,219,095,108,125,388,868,066,787,658,852,501,380,376,
066,475,357,380,104,429,033,264,004,416,626,116,599,121,989,017,142,023,039,
057,135,107,865,434,083,392,488,004,844,175,442,890,377,196,132,071,453,164,
405,124,049,960,329,622,989,651,734,436,564,266,142,927,886,498,632,005,311,
049,701,899,471,481,661,258,015,716,831,567,496,291,594,467,679,839,224,429,
534,563,641,172,681,710,941,683,334,096,315,361,896,937,386,823,550,114,164,
496,936,393,614,840,808,106,393,569,648,969,880,667,188,967,065,009,479,559,
505,344,286,289,233,403,345,679,835,066,578,803,872,410,557,465,061,504,161,
861,567,983,275,811,806,603,319,450,871,930,251,263,668,288,370,723,509,101,
610,970,936,921,037,261,601,964,654,537,123,363,177,482,069,243,112,280,127,
951,484,912,324,488,544,925,328,638,201,304,663,478,219,443,109,107,817,059,
247,441,816,587,048,497,496,908,491,079,899,621,641,523,224,696,062,880,737,
162,239,871,856,965,946,734,050,240,031,581,341,495,497,466,386,977,974,066,
342,916,292,426,542,906,288,567,003,619,156,010,965,088,602,489,615,000,056,
833,427,063,084,679,945,750,838,971,779,587,241,335,891,936,430,649,067,202,
423,568,193,623,941,149,532,328,065,471,712,566,911,687,621,459,024,959,024,
953,457,341,439,227,313,953,016,289,809,770,040,367,817,962,403,317,224,211,
006,657,804,147,332,259,855,892,122,234,387,199,859,441,981,195,643,834,123,
449,847,658,122,723,206,330,071,472,246,415,325,574,794,175,306,819,525,058,
047,518,505,070,538,079,850,349,942,963,887,570,625,765,695,636,307,435,435,
430,175,845,166,967,792,115,753,090,216,475,552,858,629,356,386,168,609,923,
188,362,480,257,908,429,366,073,482,933,995,994,796,972,235,137,198,365,591,
000,574,894,735,177,300,105,192,377,836,618,333,644,951,574,317,397,424,788,
907,795,702,897,331,042,154,070,771,534,644,351,120,461,412,264,336,110,674,
021,082,920,076,948,186,666,399,355,122,317,011,374,732,891,376,406,819,220,
581,475,516,803,500,176,008,851,367,335,125,725,255,089,860,905,724,295,249,
201,548,319,863,504,524,946,470,403,081,953,780,820,892,529,367,649,718,810,
162,447,033,896,499,840,163,203,926,174,211,409,356,103,316,070,347,740,790,
345,239,996,528,592,459,249,536,631,948,541,511,869,293,279,561,424,481,468,
061,225,125,016,923,590,353,184,251,929,641,439,604,302,526,784,633,516,188,
108,960,171,945,368,050,769,988,740,934,889,631,096,343,686,701,137,288,050,
926,686,370,258,177,975,871,657,395,656,715,802,846,887,313,580,767,349,544,
718,081,226,871,901,255,131,935,758,007,656,326,108,327,635,406,453,360,818,
484,962,114,084,899,996,429,775,308,770,918,018,664,125,544,403,256,640,142,
412,488,035,888,122,880,585,144,308,679,211,647,165,741,965,856,227,288,173,
641,441,057,520,956,567,360,790,547,312,339,817,838,662,962,709,132,285,163,
293,193,151,377,969,202,788,577,964,486,863,721,266,016,103,314,257,803,113,
976,215,267,211,712,225,774,593,685,201,548,940,971,854,503,242,268,651,307,
812,165,453,729,714,189,602,518,032,122,291,038,065,939,815,184,746,241,454,
788,411,098,763,718,159,729,441,231,514,336,284,562,997,699,332,550,337,190,
942,480,106,057,944,030,819,746,358,990,510,394,994,592,789,275,278,387,157,
311,017,644,681,397,624,593,692,746,006,306,230,758,028,465,117,352,184,344,
938,140,536,950,545,276,692,233,313,375,707,004,350,860,979,801,224,852,624,
760,832,380,963,455,967,445,053,207,181,486,494,006,127,332,032,332,570,198,
063,760,315,123,248,735,732,577,677,217,749,424,403,928,638,586,082,749,897,
497,629,802,756,546,331,908,411,829,737,233,630,803,904,169,997,162,759,978,
399,925,648,778,846,779,183,939,627,293,649,138,215,038,602,239,859,582,466,
758,993,217,883,268,482,075,174,004,082,832,791,202,317,787,146,142,242,040,
210,596,378,965,990,369,579,063,263,676,296,944,168,379,592,840,708,054,160,
418,311,269,595,366,298,605,832,640,326,189,331,997,396,533,097,014,254,899,
960,480,464,414,967,750,587,598,984,029,432,031,569,116,221,030,756,556,717,
543,575,548,378,762,815,983,846,194,783,413,835,205,500,088,168,765,590,393,
674,883,213,451,715,631,922,144,850,158,358,148,098,871,081,372,757,563,680,
049,688,108,024,909,172,156,320,580,552,737,350,235,505,575,865,123,666,436,
778,127,719,247,807,948,844,548,274,025,585,418,045,419,660,151,337,710,623,
870,074,717,851,913,199,142,444,430,619,978,499,151,380,948,703,872,676,063,
697,178,391,779,721,248,839,787,910,625,146,790,368,138,242,849,650,300,290,
257,917,274,802,777,409,004,230,181,607,434,573,423,343,769,107,424,074,252,
946,882,082,861,471,747,447,798,592,035,131,162,719,598,295,371,815,374,345,
698,699,935,251,966,994,896,741,500,717,387,371,563,641,931,788,255,522,232,
164,764,706,938,712,491,087,019,745,881,944,397,554,331,563,047,819,157,243,
764,280,467,578,392,723,925,897,132,107,246,603,354,675,438,236,549,477,802,
607,083,284,987,723,236,660,905,169,589,511,065,991,191,516,149,612,940,519,
505,290,636,575,606,530,104,677,933,864,589,491,242,187,271,701,096,285,254,
230,260,076,424,225,091,052,251,335,025,862,924,455,177,160,510,332,803,136,
251,796,017,559,419,759,900,538,610,841,859,817,070,680,251,223,389,512,698,
691,177,107,003,808,684,099,970,532,978,219,990,804,511,079,848,714,569,177,
230,182,638,625,002,464,123,247,599,454,609,017,659,010,844,746,266,921,731,
684,849,580,820,030,377,639,881,031,883,738,278,537,168,920,128,369,803,780,
598,786,979,966,174,531,355,440,686,638,728,207,836,640,354,752,348,384,527,
194,922,968,704,681,927,307,439,965,510,683,535,794,910,857,823,580,072,086,
611,708,877,393,175,173,356,194,170,393,092,386,976,081,271,303,044,607,303,
108,524,832,315,918,429,553,624,548,525,314,491,247,059,180,410,009,283,845,
690,469,556,809,442,857,073,844,994,202,508,230,026,792,068,282,653,233,918,
866,120,150,738,093,855,876,476,181,754,602,450,773,826,360,663,297,910,956,
484,122,467,208,232,309,566,441,506,193,263,272,749,628,365,950,439,650,091,
380,311,880,100,492,267,490,420,451,312,876,580,813,544,563,249,432,382,245,
728,971,501,365,309,078,933,426,057,563,255,984,463,299,434,520,419,953,855,
544,158,504,194,677,457,120,978,600,788,233,149,619,137,919,639,309,232,461,
776,838,686,810,335,908,997,776,297,970,371,375,228,751,142,175,259,444,495,
176,554,274,473,341,417,048,699,114,438,860,466,375,486,435,293,232,831,183,
693,333,429,113,841,405,783,825,550,283,505,963,032,810,387,021,864,105,790,
980,838,607,376,016,261,559,486,025,095,553,313,465,845,017,833,656,128,956,
415,678,965,365,671,628,181,844,800,971,500,831,485,970,574,644,799,374,797,
640,465,047,177,173,575,991,586,397,624,557,253,124,564,592,537,186,964,008,
401,171,864,638,206,759,686,223,033,625,690,453,959,156,545,634,435,628,451,
329,001,805,330,299,120,644,468,798,697,787,660,964,037,181,291,328,528,915,
048,000,399,765,546,650,674,144,521,229,327,077,019,705,542,290,689,481,250,
416,909,418,204,665,986,533,830,010,977,895,225,074,882,950,127,220,484,996,
539,385,070,458,386,852,333,893,305,613,601,307,907,442,688,445,024,585,934,
418,033,283,293,687,644,938,505,112,525,087,287,502,859,141,726,365,715,497,
165,599,293,525,970,421,004,416,473,545,967,286,570,627,053,588,226,953,281,
431,986,134,218,225,654,317,613,180,673,683,150,832,074,252,935,715,793,599,
138,333,784,653,025,047,498,204,734,872,193,365,947,589,247,480,555,392,785,
717,190,236,425,073,126,281,226,481,339,877,539,416,724,432,281,510,343,128,
792,677,900,675,358,385,243,151,132,892,931,969,577,311,915,804,546,929,800,
651,246,548,631,476,355,781,353,726,361,563,663,239,451,231,091,282,669,150,
033,053,845,999,124,730,921,379,274,201,059,019,463,299,605,348,196,132,732,
175,396,847,850,604,153,159,214,744,385,965,347,351,130,177,958,767,823,724,
005,879,045,972,577,637,963,447,328,112,034,323,535,739,966,255,999,327,014,
598,793,963,228,717,367,951,885,903,147,817,153,357,643,569,438,866,052,444,
576,150,798,335,431,673,203,623,398,419,494,765,735,647,515,682,343,636,735,
470,871,022,029,028,017,937,061,714,836,279,224,189,436,673,171,052,546,266,
256,693,076,939,982,118,353,032,026,135,707,481,094,935,886,111,406,649,747,
566,051,891,181,271,152,214,149,034,461,386,675,654,410,324,775,433,917,623,
748,966,766,835,560,475,528,646,319,786,041,846,129,051,564,494,009,974,933,
105,332,999,747,674,962,624,967,912,691,710,696,005,326,359,059,772,539,044,
918,862,731,610,584,299,017,845,621,356,281,064,593,457,456,232,658,304,057,
902,242,137,235,836,558,368,145,547,150,358,080,865,711,628,516,003,084,293,
285,428,318,641,777,793,384,053,901,673,426,083,844,473,280,052,780,971,878,
178,333,131,362,706,509,210,857,677,373,927,142,012,191,102,336,440,694,511,
097,767,250,802,963,310,506,264,731,010,915,407,156,749,978,907,065,741,250,
963,179,281,059,329,219,136,656,165,396,014,688,673,792,764,957,843,243,384,
627,471,685,320,026,180,482,005,418,194,156,116,825,225,998,533,130,326,062,
174,330,484,452,963,237,941,610,942,485,700,731,862,878,632,944,868,665,332,
109,332,862,542,954,588,418,060,827,807,359,797,365,733,958,960,193,350,529,
715,784,298,800,687,843,706,453,850,660,760,269,937,742,313,632,370,883,848,
794,711,489,525,716,059,854,615,762,691,948,921,406,594,178,021,308,432,520,
899,021,721,872,534,595,842,034,191,774,280,240,879,877,664,486,048,142,843,
234,477,726,283,624,796,642,248,197,340,104,155,179,149,485,493,335,946,493,
412,857,844,467,383,820,578,272,366,654,725,342,026,173,023,960,396,224,677,
022,305,529,072,494,587,180,010,037,962,912,163,702,043,442,657,618,543,560,
015,614,594,221,231,067,655,640,600,206,783,078,163,386,329,097,113,180,057,
127,508,880,662,327,959,435,425,866,686,871,508,164,800,450,788,723,477,062,
044,497,852,230,275,368,485,033,290,005,608,440,985,091,059,353,201,796,689,
750,347,942,046,109,562,468,886,620,006,117,529,739,478,934,155,343,434,910,
329,467,139,402,841,824,968,274,740,642,910,183,859,916,569,679,497,181,198,
862,688,758,156,292,028,816,530,425,275,082,779,503,619,500,333,951,796,681,
011,615,074,724,815,355,705,325,226,835,444,153,412,614,899,779,834,920,128,
667,028,183,449,930,864,733,762,989,698,716,365,261,074,790,160,800,844,612,
567,348,419,610,823,224,989,847,304,804,517,375,754,553,047,101,910,077,943,
861,554,491,375,140,436,571,778,698,190,031,502,613,594,008,630,976,568,733,
856,535,348,354,857,520,834,696,992,208,277,685,926,178,589,376,078,943,712,
930,228,792,173,294,133,916,743,732,221,857,916,433,670,154,835,017,122,704,
390,679,889,227,649,695,943,425,164,349,514,792,278,002,457,887,430,949,908,
193,934,941,178,435,760,566,943,499,328,841,130,047,355,325,014,631,377,766,
443,991,290,146,743,572,356,322,614,411,897,685,957,779,831,222,168,693,421,
015,405,284,511,303,663,232,478,360,019,559,121,305,080,305,970,673,024,747,
215,908,484,171,218,103,672,614,299,694,652,364,322,999,165,099,034,538,706,
177,060,433,114,816,460,580,585,048,083,339,735,447,496,346,466,082,539,200,
051,412,936,542,505,038,343,426,498,874,713,181,775,986,156,649,582,430,919,
733,773,044,563,760,353,589,895,393,595,761,543,939,067,947,013,384,979,461,
371,443,355,993,936,525,312,245,441,814,545,492,993,727,434,036,918,638,541,
648,393,492,616,940,381,948,891,238,065,842,174,865,287,109,072,617,543,106,
684,622,995,630,865,573,028,209,368,796,356,228,336,227,184,043,227,175,004,
678,167,418,182,267,452,818,708,286,547,331,003,313,046,110,047,564,499,191,
394,334,973,695,355,477,090,414,088,508,289,251,330,325,909,692,634,879,766,
911,567,052,169,823,574,785,366,394,748,135,249,737,860,398,455,630,596,898,
248,204,556,647,251,262,055,803,156,175,895,084,657,292,566,001,321,652,607,
279,605,154,785,643,804,593,894,439,657,948,005,258,255,069,406,919,847,747,
567,598,831,088,617,611,996,235,463,840,455,441,197,226,157,876,874,343,323,
919,837,263,626,052,547,065,497,246,264,088,263,286,405,585,968,736,424,393,
495,662,548,027,423,987,401,152,664,237,771,717,443,919,671,893,847,874,724,
212,471,028,359,320,262,988,534,234,207,517,941,409,773,281,225,074,575,017,
336,455,270,913,897,835,547,206,644,205,327,545,724,448,747,684,855,391,379,
041,507,709,766,059,010,750,938,908,106,028,083,491,169,281,553,697,610,450,
321,855,020,834,697,306,324,022,893,207,472,633,195,207,256,580,167,778,278,
998,012,642,921,367,830,750,365,356,004,554,336,276,013,773,320,217,922,161,
691,556,956,170,249,160,027,076,734,088,569,136,171,974,735,569,044,081,026,
661,201,973,608,289,178,357,628,298,520,789,543,398,889,833,871,001,808,944,
389,570,106,733,915,285,099,526,588,246,080,056,758,778,580,441,976,263,346,
016,422,872,336,101,876,218,536,481,924,625,532,872,823,152,145,531,375,297,
054,930,648,055,266,377,133,572,383,814,611,773,591,751,892,189,576,943,414,
968,580,400,054,932,030,521,003,714,408,932,563,502,170,454,776,638,250,039,
095,471,105,610,040,550,926,654,008,568,162,639,212,707,178,699,720,388,298,
372,972,623,902,056,124,156,768,467,710,299,805,138,412,942,685,110,665,390,
134,121,244,086,072,147,375,210,015,083,268,464,108,042,007,538,877,529,326,
533,431,546,781,436,310,903,064,584,122,899,000,707,557,940,805,180,590,915,
533,278,725,997,032,903,997,433,797,945,410,748,442,945,635,100,012,413,480,
831,875,317,740,798,441,563,422,675,250,645,388,923,173,574,126,644,804,669,
843,444,681,078,855,530,831,026,953,849,040,588,881,141,150,693,793,107,510,
343,374,699,295,022,417,037,814,353,653,170,826,533,173,987,099,163,463,080,
262,809,485,252,614,763,576,234,871,804,459,721,239,904,331,940,733,693,009,
744,388,896,764,665,136,266,386,630,355,669,646,006,516,958,375,278,937,483,
654,294,154,285,886,948,869,824,248,376,337,408,400,568,557,206,033,062,276,
194,931,818,348,024,796,880,072,835,091,542,655,613,463,259,866,767,606,877,
492,922,808,444,458,248,481,969,365,115,929,250,936,526,425,626,137,228,462,
414,798,399,935,527,110,069,969,117,477,337,477,648,523,419,271,458,893,358,
730,177,178,554,778,711,471,742,336,360,920,676,834,325,784,629,388,693,136,
337,721,255,352,661,186,352,452,529,930,785,655,540,092,082,103,746,513,515,
898,936,088,336,832,093,527,626,075,284,479,120,529,832,732,251,826,542,495,
118,099,664,395,962,048,536,668,497,653,492,971,460,633,538,976,407,478,209,
532,840,227,867,934,294,949,511,847,794,977,196,513,427,780,970,228,312,380,
051,033,302,475,525,898,626,793,365,738,756,269,931,384,139,886,393,735,053,
218,522,700,126,606,148,771,816,162,506,191,420,631,276,495,199,458,724,716,
880,299,866,617,224,002,989,057,838,759,130,164,114,636,738,633,622,719,034,
213,958,581,982,975,427,977,644,152,635,070,399,136,627,158,791,999,831,589,
137,775,500,268,891,554,187,937,551,991,691,255,249,646,114,902,026,899,664,
477,355,348,042,703,069,514,536,915,847,631,722,458,204,616,758,539,096,451,
695,943,473,092,087,451,442,527,477,678,453,529,850,545,545,449,064,069,745,
065,136,271,221,368,016,619,981,552,927,888,626,746,246,552,990,549,340,738,
423,532,711,286,592,357,701,473,276,922,054,423,082,166,284,467,752,183,039,
704,366,038,363,234,846,292,425,386,263,347,307,307,620,696,605,356,046,652,
815,485,447,275,995,868,288,918,121,946,897,338,412,116,298,600,725,564,723,
011,068,171,578,109,017,527,234,602,446,097,512,307,847,861,338,074,412,366,
558,856,154,936,405,063,064,368,629,970,984,491,198,274,101,854,549,520,658,
403,034,459,598,864,182,332,250,211,037,067,851,810,402,475,154,818,171,840,
623,522,298,511,361,878,729,460,599,107,473,849,901,892,394,570,963,067,697,
420,896,641,245,708,371,626,051,391,985,063,791,703,261,902,901,596,267,217,
232,808,195,623,091,429,759,599,924,991,680,150,115,715,459,909,369,245,656,
744,226,871,736,369,231,118,932,714,650,978,947,215,596,519,458,256,503,882,
853,393,819,606,848,058,919,413,311,678,007,231,624,192,771,354,704,716,665,
901,003,248,990,626,564,755,140,913,026,954,166,971,534,948,513,401,980,911,
071,916,407,732,847,024,760,189,066,243,351,216,050,320,937,316,048,764,432,
337,277,627,382,821,160,213,857,440,744,246,232,785,371,289,169,572,143,868,
977,929,130,431,877,860,106,777,516,356,769,714,893,590,099,855,828,321,015,
748,341,175,084,982,909,826,495,408,945,964,380,794,793,004,069,584,634,135,
280,187,331,067,687,211,938,600,744,213,593,998,960,091,964,513,185,438,916,
124,626,803,110,723,382,676,441,980,438,490,006,787,309,156,223,324,660,351,
254,017,458,563,908,215,345,704,839,093,202,627,847,157,620,963,513,390,188,
875,118,924,061,638,256,528,230,378,282,982,303,095,071,123,472,366,213,452,
357,585,100,854,456,656,390,961,447,047,571,692,688,469,529,888,389,163,253,
672,852,219,396,491,029,881,728,948,256,265,808,759,611,822,907,216,749,118,
802,423,957,388,107,863,847,208,396,043,404,406,197,947,627,183,678,453,156,
239,095,804,430,370,964,948,466,370,957,932,831,315,808,789,442,334,408,111,
440,466,248,463,494,266,540,935,360,212,703,037,875,244,193,267,000,002,964,
637,154,053,062,916,286,511,922,089,743,407,205,763,605,410,612,259,885,097,
985,474,969,880,609,545,867,158,005,626,977,849,830,653,184,688,678,408,040,
889,155,329,018,563,550,283,096,237,089,671,232,511,653,870,568,423,159,364,
551,399,584,889,367,446,313,364,560,191,847,172,687,503,247,369,787,723,981,
209,635,708,726,898,822,444,453,477,841,667,903,109,467,162,177,231,334,605,
684,628,874,497,895,074,457,474,545,405,270,920,264,564,607,549,439,453,773,
091,494,006,549,699,383,996,311,504,851,499,196,922,550,042,070,271,025,733,
046,574,961,617,331,571,727,322,856,183,072,132,756,808,375,358,920,673,042,
855,434,046,591,843,369,971,835,236,282,443,766,639,214,783,425,551,083,590,
021,291,543,477,102,460,973,460,648,861,039,770,779,911,155,248,268,103,967,
958,582,681,220,018,805,500,585,154,715,523,413,581,829,282,818,489,333,230,
019,874,517,469,325,870,701,767,871,338,992,468,509,276,332,670,287,474,466,
929,895,348,968,728,384,661,385,813,916,538,905,179,640,534,069,663,021,263,
084,714,888,604,927,060,377,219,613,453,617,773,411,145,259,081,138,897,979,
280,563,995,948,467,323,359,581,866,684,566,137,823,932,480,994,302,945,887,
413,877,066,981,480,809,522,011,404,158,161,922,551,526,511,495,961,273,960,
995,403,969,670,825,730,134,106,207,858,684,138,041,799,641,133,791,968,285,
659,586,257,617,907,599,664,702,455,403,069,997,814,405,270,003,984,056,230,
500,696,097,126,774,499,350,947,305,293,755,661,948,062,832,467,745,056,039,
735,853,867,910,742,433,522,930,623,149,067,883,257,017,481,154,109,003,288,
757,620,979,865,595,368,741,864,693,747,827,115,226,344,045,398,127,947,678,
599,560,345,449,448,982,578,803,184,386,872,491,234,327,412,767,633,716,047,
648,519,392,442,748,553,254,484,308,172,432,190,887,748,993,757,950,079,813,
576,684,690,062,773,857,739,869,834,987,175,988,576,535,870,767,680,156,997,
825,364,240,391,814,536,427,119,604,727,797,788,774,033,167,817,014,953,692,
407,365,750,394,103,654,596,716,805,385,553,488,282,057,826,110,312,202,170,
993,298,038,437,480,047,613,056,484,977,013,101,044,965,109,815,338,398,796,
341,262,828,636,422,464,769,131,156,424,209,672,253,321,797,802,753,224,879,
097,531,284,954,985,609,510,471,184,065,458,597,157,646,850,711,231,783,392,
905,052,629,387,887,481,115,068,132,414,039,182,917,363,095,355,410,041,905,
315,130,379,872,995,834,292,722,989,374,763,871,024,059,246,486,726,177,010,
359,893,545,777,256,016,067,037,040,552,082,117,442,075,796,168,283,041,843,
975,935,001,898,083,370,744,733,088,645,041,648,043,391,679,056,962,235,244,
103,608,925,557,756,021,869,516,466,509,575,842,469,174,241,362,591,805,488,
379,803,747,614,560,977,127,073,989,078,801,107,296,750,742,488,698,535,844,
137,007,808,229,177,896,586,722,551,417,299,275,424,404,436,223,489,113,706,
664,251,556,449,524,889,104,010,775,510,909,654,929,509,620,466,134,354,458,
789,681,995,731,339,390,160,298,990,156,672,870,439,400,984,971,947,970,942,
812,795,384,736,813,419,364,782,043,745,825,345,358,380,134,335,978,485,580,
838,694,776,443,120,460,169,847,260,471,921,030,155,683,938,456,742,306,294,
255,656,341,525,774,606,401,467,985,000,743,027,201,890,368,345,709,698,754,
852,212,538,418,074,909,931,613,702,703,209,649,346,248,857,959,217,345,148,
001,757,829,879,830,459,983,579,865,319,195,841,024,667,521,884,845,240,293,
445,819,495,413,154,883,312,526,903,362,202,554,346,326,628,089,545,428,943,
511,191,036,191,368,658,396,218,261,723,701,187,594,921,470,610,743,172,288,
257,873,268,106,831,852,984,725,847,197,995,823,413,922,475,620,923,268,837,
163,684,919,476,431,830,083,984,381,142,793,146,223,395,998,686,217,066,663,
933,493,680,047,850,742,240,248,691,203,302,949,475,683,133,949,485,587,498,
902,081,550,962,030,500,033,433,080,996,745,874,640,975,604,219,698,968,256,
264,246,036,988,630,565,369,319,133,028,791,749,211,771,056,626,617,800,952,
051,079,614,056,085,715,735,982,269,364,884,132,858,780,201,439,845,592,090,
067,254,318,542,907,312,367,579,568,814,207,594,286,669,192,486,831,574,240,
104,272,088,076,028,853,918,267,792,007,102,747,444,995,670,814,322,850,270,
678,619,308,197,911,374,117,817,503,904,699,006,069,362,030,685,325,974,118,
734,778,704,016,181,516,572,143,523,982,658,315,367,751,647,457,730,964,071,
842,493,015,382,754,360,732,717,086,365,053,047,578,290,254,425,143,973,683,
125,948,739,171,104,571,191,756,871,379,381,472,536,481,085,807,503,358,590,
305,639,123,791,637,387,655,603,486,210,882,103,157,858,723,669,122,695,874,
084,307,442,117,749,608,381,237,289,321,362,827,997,035,039,575,043,914,814,
605,678,015,132,879,695,063,935,613,817,921,952,013,124,422,599,748,710,168,
206,958,516,905,268,125,665,838,396,575,512,710,614,001,740,066,325,711,125,
210,270,856,753,166,935,308,557,121,473,751,580,285,913,491,581,362,654,144,
597,683,720,785,464,063,103,064,356,908,824,877,055,899,877,965,179,628,055,
856,280,656,692,208,287,600,383,140,714,678,786,439,114,297,086,514,394,919,
827,946,183,596,892,566,239,108,427,311,458,540,916,685,356,159,438,607,319,
072,426,939,715,726,451,316,894,225,137,296,420,221,044,233,854,868,918,282,
355,879,593,665,425,352,787,877,125,806,603,041,040,111,711,866,012,178,959,
701,415,758,622,248,774,077,350,759,166,630,882,369,017,294,767,135,364,161,
374,571,565,059,752,485,956,800,039,105,243,659,194,167,757,120,528,783,325,
761,917,249,516,322,163,466,512,895,215,358,963,728,334,237,140,283,986,797,
105,058,009,029,911,583,086,552,729,131,620,203,025,063,722,971,259,206,049,
680,337,620,668,121,915,969,146,056,070,315,330,031,591,272,964,714,512,116,
564,430,217,848,404,569,782,479,164,953,834,092,267,095,288,218,335,117,743,
154,302,198,741,272,413,716,275,418,844,725,599,736,571,618,553,364,330,999,
727,331,448,828,479,098,179,709,907,263,787,137,006,306,271,413,274,953,973,
111,687,289,512,544,065,866,614,204,991,116,717,322,854,097,835,536,784,543,
743,401,754,304,404,447,880,061,190,751,060,942,398,643,600,969,641,477,723,
124,705,940,160,418,440,165,212,510,871,828,224,152,659,915,017,557,182,632,
981,213,029,787,833,479,635,711,612,295,607,369,994,500,406,926,157,231,533,
476,903,148,347,214,979,854,875,854,809,240,556,330,665,850,542,627,442,534,
703,524,936,804,769,855,036,999,902,971,727,698,677,193,613,353,737,892,213,
811,068,512,147,190,405,175,626,590,867,667,607,855,894,748,645,426,013,397,
844,253,206,310,153,184,945,814,953,914,013,358,916,603,177,161,799,147,582,
159,988,166,921,424,908,721,654,151,780,468,515,091,609,365,581,101,164,048,
818,290,745,874,251,443,389,177,335,775,277,056,012,217,072,816,270,263,486,
937,620,727,904,496,167,872,743,346,927,427,769,558,881,847,870,658,672,604,
139,178,423,220,260,346,981,131,774,666,294,647,168,806,091,666,873,692,853,
343,912,740,405,324,516,568,556,086,653,626,514,447,148,969,096,335,112,503,
612,397,035,334,709,740,891,148,055,722,588,737,207,366,879,121,243,791,811,
081,872,977,502,547,729,087,657,820,635,785,645,825,615,669,409,919,027,480,
308,074,081,828,499,198,203,764,081,595,139,733,561,569,548,606,538,179,547,
388,531,475,664,842,847,871,012,077,332,474,568,374,343,025,445,400,275,230,
826,115,317,055,909,334,224,208,896,909,110,436,970,680,067,062,347,086,717,
838,939,469,389,514,454,370,749,202,012,191,667,416,123,014,721,124,994,007,
765,749,541,177,860,274,152,196,269,094,156,197,593,598,567,114,606,580,946,
761,312,474,865,202,963,528,083,647,383,821,051,218,661,290,291,746,709,205,
020,040,610,615,502,033,608,035,384,409,312,716,510,615,089,411,247,523,744,
212,463,556,458,412,807,131,440,993,592,095,240,305,260,632,086,554,846,287,
169,333,420,419,024,641,782,270,952,948,537,159,429,389,655,491,004,176,465,
896,239,546,366,712,825,221,547,867,593,427,978,471,305,866,282,294,983,321,
676,232,108,500,635,729,759,053,687,618,356,469,056,670,581,303,958,455,663,
451,273,479,454,464,572,883,391,022,602,136,299,657,260,043,095,011,024,356,
976,643,112,311,165,976,195,689,179,273,653,900,127,025,081,079,640,472,942,
848,818,183,649,215,960,972,120,888,209,651,026,531,686,881,887,706,436,225,
210,642,359,958,012,856,350,491,952,365,368,258,852,632,681,624,310,191,630,
697,240,666,250,246,215,614,158,214,688,833,293,488,128,297,943,954,681,735,
687,555,432,890,220,514,404,834,759,574,457,176,742,403,964,981,982,992,876,
594,048,697,318,100,194,498,682,174,937,310,835,057,824,953,555,674,096,237,
738,815,844,647,906,314,922,797,541,652,450,081,523,466,100,039,784,713,429,
731,540,083,782,894,558,108,712,188,067,112,705,848,108,191,882,744,303,246,
987,467,983,407,913,528,898,336,356,040,855,894,243,826,133,905,699,092,284,
329,744,970,559,817,156,975,119,419,953,348,334,658,185,899,273,578,517,702,
233,666,222,471,220,098,029,315,065,973,094,296,124,683,550,118,709,446,244,
896,396,810,376,282,984,007,378,990,657,098,843,188,026,828,595,111,518,343,
907,803,633,085,474,099,954,841,499,935,264,087,075,793,974,602,005,332,529,
273,610,821,569,496,219,425,686,744,647,745,493,258,817,716,763,474,737,378,
054,446,541,015,913,415,627,975,191,760,899,931,746,033,700,821,698,172,592,
539,310,550,054,386,938,415,451,400,743,294,182,917,847,893,994,290,301,219,
360,299,660,522,766,599,339,233,306,798,960,609,128,633,181,815,381,763,357,
690,951,613,891,249,980,074,843,438,109,121,650,854,800,253,300,778,598,229,
178,641,278,472,965,894,122,950,230,508,791,631,941,632,695,832,384,844,925,
090,374,363,157,420,855,906,072,240,326,498,463,870,659,585,029,609,615,564,
040,596,584,111,056,807,036,203,601,820,590,676,098,783,180,002,459,085,937,
063,456,022,844,372,079,642,753,264,909,202,620,591,270,138,930,689,936,153,
828,737,646,350,217,001,837,039,774,199,876,057,909,106,740,701,248,557,967,
479,278,561,085,823,464,340,945,391,719,130,375,966,751,056,579,454,652,912,
053,830,530,072,321,312,733,445,573,183,374,163,279,832,946,326,168,104,189,
384,761,003,584,988,283,961,769,185,076,993,695,050,856,321,882,434,123,495,
470,967,202,225,984,122,977,351,594,892,877,037,570,093,779,918,241,770,919,
207,168,008,819,555,304,107,554,460,971,849,586,578,251,088,331,473,031,145,
190,353,392,805,663,757,054,320,179,595,089,992,127,418,054,454,175,958,734,
025,986,548,309,987,562,264,504,914,713,502,074,254,718,140,389,153,900,839,
290,315,038,511,408,912,854,525,697,072,185,615,437,964,606,766,632,477,861,
464,132,978,116,158,070,708,806,102,440,247,980,767,427,159,598,314,323,555,
983,044,991,876,744,906,627,154,387,165,750,783,880,255,483,660,062,310,773,
851,797,108,098,654,545,865,059,679,528,395,794,936,620,097,144,407,506,286,
493,487,385,225,836,638,650,417,489,048,449,567,600,549,297,351,943,129,108,
712,042,442,142,315,037,503,444,056,323,359,862,254,330,158,030,345,458,713,
523,086,807,879,620,606,879,449,201,941,676,983,887,643,783,293,390,499,323,
535,017,707,317,704,013,199,995,716,458,186,885,961,664,339,192,211,155,642,
228,107,677,354,607,849,137,204,798,260,368,585,115,996,282,130,770,923,340,
001,723,541,959,940,056,689,148,408,029,626,109,244,674,733,118,186,630,466,
841,006,355,582,088,819,872,738,958,895,256,813,863,894,273,152,682,218,933,
380,404,667,292,659,023,163,936,459,484,897,698,887,197,785,075,744,497,340,
118,475,294,341,413,571,936,024,789,362,064,193,452,802,636,769,152,049,447,
067,998,181,054,765,440,206,238,287,156,274,120,816,687,752,832,008,021,250,
988,066,213,684,613,682,478,651,319,566,539,806,521,030,882,938,045,742,108,
244,458,024,590,869,378,402,602,761,402,476,305,921,578,507,312,121,876,406,
632,506,844,664,170,729,272,151,163,556,724,768,440,356,832,915,511,361,743,
035,754,146,274,559,057,135,199,510,554,405,844,963,132,364,342,856,642,763,
615,303,850,356,062,479,806,233,479,197,348,242,322,222,044,694,134,160,919,
509,954,795,383,602,143,001,156,698,237,482,736,969,745,107,033,467,854,048,
102,719,160,153,348,735,320,982,645,430,260,084,783,554,225,597,765,236,923,
027,785,677,187,221,370,298,259,434,934,642,095,252,473,684,283,319,196,602,
266,255,253,632,074,213,350,709,594,695,499,375,467,581,999,760,108,408,028,
813,314,843,274,710,600,109,660,893,976,205,034,677,207,283,136,282,048,981,
687,899,645,174,139,930,243,191,725,660,403,052,071,088,797,693,396,615,352,
673,887,716,940,972,727,891,306,271,989,925,748,681,864,250,680,247,421,473,
020,974,398,435,711,157,643,150,027,528,176,441,748,008,591,299,145,713,266,
148,592,932,495,536,643,409,196,792,332,491,280,269,736,091,052,478,629,423,
822,768,804,747,456,944,897,013,178,777,738,908,879,956,608,135,206,188,952,
550,119,144,688,600,474,795,334,888,145,000,449,657,631,994,552,989,451,909,
719,644,305,062,607,090,851,942,467,080,571,035,923,470,694,380,662,023,227,
800,490,968,761,692,413,838,381,545,260,772,831,767,573,358,023,832,950,074,
669,478,330,439,570,306,817,034,601,017,957,181,190,926,802,858,845,096,657,
620,292,955,670,246,748,621,302,616,947,427,567,451,347,016,042,388,353,157,
373,274,581,834,084,315,652,268,425,789,562,854,363,517,284,611,637,059,565,
558,434,383,372,106,841,523,461,132,437,012,763,681,372,965,175,922,240,202,
978,695,296,449,871,159,346,703,898,244,775,331,719,638,648,206,569,959,306,
652,281,060,336,181,232,859,059,425,819,353,625,423,321,129,080,826,901,802,
910,766,846,956,384,411,352,329,038,767,597,943,262,331,460,670,721,665,789,
428,665,840,284,425,330,062,976,002,787,946,736,386,632,474,652,354,952,323,
995,346,107,148,571,627,628,081,394,348,630,636,035,432,213,140,169,323,629,
805,597,051,965,762,330,235,326,379,993,405,073,017,992,956,205,214,458,977,
772,526,486,338,064,423,206,791,126,214,011,589,999,465,317,907,524,897,888,
755,993,147,522,026,328,300,834,526,438,070,308,575,348,898,801,675,665,276,
009,908,948,497,080,333,821,744,041,806,597,756,735,998,378,106,002,443,499,
172,332,151,463,678,344,544,662,946,673,499,491,083,126,421,490,912,203,052,
852,028,340,239,048,378,236,914,467,021,474,901,000,623,041,721,863,692,546,
650,293,834,584,424,591,787,565,631,780,875,765,418,326,332,629,330,532,039,
700,294,921,335,729,155,501,821,739,282,032,273,988,956,531,507,291,497,677,
608,534,778,777,810,868,798,309,096,168,694,680,031,444,712,138,489,384,860,
433,830,235,180,528,516,369,975,937,867,722,659,453,562,594,825,705,154,055,
555,329,357,973,283,290,301,115,317,874,907,858,940,544,017,052,534,055,322,
595,050,298,218,326,966,129,239,673,620,274,801,175,354,854,683,731,620,231,
410,743,659,115,564,965,454,876,883,085,864,318,583,099,830,066,114,684,821,
913,497,864,473,577,652,719,970,089,033,195,849,899,875,976,559,513,705,823,
674,555,385,419,060,908,092,660,562,885,255,510,033,105,684,404,267,626,774,
366,561,747,870,955,867,244,509,861,053,093,624,095,295,796,688,876,240,375,
771,587,218,718,351,716,534,960,818,788,376,938,682,750,029,935,917,539,581,
654,013,209,813,298,502,806,314,057,742,138,942,040,247,359,875,964,326,092,
570,684,814,634,513,732,966,769,670,850,270,461,565,120,895,113,620,387,745,
733,601,988,068,442,029,809,147,508,357,162,986,823,317,963,401,305,292,196,
955,750,771,301,725,653,065,943,994,540,412,190,169,262,791,853,819,058,416,
729,873,924,959,117,911,830,282,995,449,472,372,126,710,694,685,783,244,270,
477,007,892,384,905,110,040,820,886,232,493,891,611,484,083,290,434,991,605,
255,257,710,989,994,317,294,724,956,951,356,359,731,338,665,118,553,577,704,
031,234,915,745,361,431,646,501,670,311,904,869,098,741,795,294,471,829,202,
444,385,136,923,915,586,083,536,636,115,271,111,093,070,152,973,501,412,766,
606,446,353,029,170,981,114,953,681,294,341,926,915,245,711,688,184,566,408,
831,296,570,338,797,782,754,065,253,180,884,707,295,725,100,592,462,858,223,
697,286,578,905,719,975,849,107,208,297,288,454,508,443,164,111,111,313,895,
289,221,017,445,080,986,969,654,178,437,098,756,799,172,998,333,237,334,817,
818,634,907,435,169,303,904,362,086,680,903,184,382,589,780,427,524,358,933,
584,344,341,585,725,912,642,505,993,945,132,264,904,269,279,988,923,200,332,
719,221,129,833,872,382,605,664,510,773,447,585,124,975,463,645,571,488,726,
096,692,646,432,985,633,403,784,486,621,344,573,136,538,841,806,183,045,448,
545,315,323,741,792,339,080,797,583,649,246,847,959,237,710,877,176,117,752,
703,290,508,354,141,672,663,620,741,072,664,104,286,920,893,333,981,686,770,
297,864,731,290,422,775,193,682,301,476,881,258,418,457,671,311,585,886,949,
901,954,616,175,818,541,661,119,613,647,149,099,619,006,553,123,547,049,384,
961,813,245,970,496,237,360,569,889,999,867,667,136,050,810,352,842,575,253,
203,658,264,532,578,184,725,153,626,055,068,660,436,094,685,467,813,403,403,
954,429,367,564,640,181,828,186,900,878,319,258,835,746,999,081,159,585,772,
059,994,456,410,174,950,125,088,295,715,366,567,777,628,752,742,943,339,106,
110,583,370,015,106,265,447,035,842,927,540,252,427,267,663,284,314,262,634,
717,913,387,864,891,080,068,653,366,616,930,317,804,308,978,158,574,005,186,
118,321,927,724,863,920,551,515,606,898,569,655,552,925,104,423,392,253,520,
336,370,761,580,482,026,126,415,351,049,618,256,377,653,169,983,000,994,904,
013,470,357,653,671,076,887,063,838,727,523,413,325,099,497,782,065,631,540,
168,772,793,140,928,722,480,666,369,212,719,607,092,693,589,802,777,010,525,
253,186,567,163,551,728,997,822,504,616,800,437,016,725,597,760,922,693,859,
091,212,873,082,309,408,959,356,538,361,015,360,058,768,709,107,950,836,145,
183,679,410,249,106,290,496,230,476,965,993,977,188,993,452,794,384,132,547,
011,236,607,090,412,095,910,799,736,614,546,713,884,683,792,896,004,330,137,
632,736,006,970,800,651,610,811,392,059,059,717,305,525,681,217,674,737,730,
442,275,129,843,033,354,183,473,366,611,311,821,386,208,262,372,247,533,141,
259,037,113,390,645,160,442,894,624,338,414,303,132,067,500,324,973,571,504,
928,916,916,220,613,062,382,648,062,920,435,623,573,419,749,301,996,687,648,
600,560,174,849,281,845,404,984,675,559,048,978,823,025,896,984,829,154,754,
518,725,710,062,166,633,413,598,703,021,004,339,261,424,673,452,131,964,795,
741,682,378,986,260,458,047,184,514,618,819,593,780,510,592,376,295,807,456,
296,482,148,012,823,349,030,528,183,556,910,511,306,334,409,843,595,570,917,
971,642,773,689,308,231,051,077,096,793,499,596,822,409,442,297,130,989,578,
590,889,309,762,209,560,541,190,412,080,177,588,257,586,346,336,432,553,726,
053,452,621,693,078,110,947,341,908,989,911,265,302,844,097,961,109,821,427,
900,926,061,342,293,385,335,912,829,844,706,953,202,452,301,861,257,561,578,
563,366,365,104,152,511,249,212,839,617,878,367,838,167,083,532,028,437,845,
412,520,251,743,056,228,676,508,212,084,831,064,445,188,559,382,693,118,275,
261,688,370,756,486,125,040,163,464,468,281,255,507,287,118,343,732,581,031,
357,677,173,936,288,248,828,149,860,178,935,218,982,241,007,393,270,895,726,
805,771,847,793,630,316,997,262,312,037,380,896,234,090,886,556,451,890,040,
178,025,472,821,871,700,985,861,686,544,225,473,262,195,763,928,452,696,589,
481,251,975,572,875,385,328,994,952,806,197,143,112,737,772,059,585,271,415,
054,653,565,781,799,208,264,008,233,909,310,800,562,035,519,697,123,409,231,
743,521,267,590,545,853,817,432,499,437,128,013,811,328,899,514,805,834,829,
667,493,408,401,604,904,405,170,327,068,994,945,564,274,322,811,973,622,905,
693,562,024,319,486,927,117,062,766,042,499,256,592,845,364,082,024,773,166,
317,405,837,635,995,546,807,747,862,652,435,544,522,343,066,219,487,040,307,
298,465,436,178,241,233,137,391,028,357,799,705,657,405,662,831,004,124,556,
155,679,117,950,904,299,449,793,343,102,590,513,684,095,789,153,083,591,447,
136,610,443,639,963,568,833,486,838,725,021,568,682,523,170,153,859,009,436,
744,147,527,232,050,618,408,163,849,331,083,789,507,092,172,191,723,463,955,
020,635,130,476,109,422,298,778,315,702,600,468,993,421,844,702,055,903,210,
305,480,145,788,456,943,355,123,418,408,188,417,464,382,215,534,191,743,422,
246,265,044,255,845,210,712,686,693,493,994,148,557,144,975,083,816,817,133,
222,844,271,275,053,041,278,694,537,216,285,937,365,952,161,832,408,235,783,
084,220,331,721,613,007,669,384,941,920,620,585,331,512,185,385,613,731,266,
346,456,674,225,242,032,224,438,386,839,468,802,674,059,064,478,142,231,831,
154,607,404,530,889,680,273,613,790,902,833,581,028,544,191,777,042,431,989,
864,341,767,089,566,865,487,456,005,230,521,593,582,056,524,509,757,864,762,
047,138,086,281,972,045,037,311,896,732,857,560,794,407,078,108,457,236,934,
596,432,933,093,768,645,429,459,672,848,726,670,649,329,509,921,215,747,937,
714,172,912,692,082,039,960,797,533,898,353,334,246,366,727,722,515,024,784,
864,431,783,053,364,673,933,085,862,203,914,092,066,334,973,913,663,448,336,
780,107,233,299,621,664,245,134,029,527,351,115,655,874,663,645,233,537,981,
275,164,007,623,618,890,424,422,013,691,153,596,199,569,806,727,778,866,522,
349,954,320,309,102,087,144,024,563,082,109,037,910,587,770,661,126,650,712,
139,703,918,187,264,959,138,312,866,059,342,532,029,933,625,704,888,223,040,
369,272,403,207,278,005,407,536,998,368,176,669,013,675,042,979,002,794,949,
597,987,427,867,878,112,743,531,080,738,383,691,694,873,270,592,076,128,328,
751,530,765,071,967,242,250,403,834,784,010,113,762,436,965,829,527,027,613,
378,268,295,510,326,517,717,343,932,368,773,684,626,178,284,936,449,730,271,
167,977,225,952,953,477,116,355,085,120,372,400,686,469,943,903,850,132,285,
131,591,717,169,976,823,645,260,780,102,118,701,162,994,989,504,748,586,675,
966,518,106,100,184,430,757,507,725,269,496,789,605,096,288,772,793,303,832,
376,922,936,211,857,216,277,337,078,533,170,488,568,505,272,889,136,663,634,
734,186,983,163,845,874,419,614,783,130,373,135,390,152,847,841,702,295,990,
588,937,402,124,406,595,264,353,149,132,074,870,527,011,864,120,088,925,403,
494,787,494,339,952,633,328,520,570,760,100,305,299,910,497,086,166,972,689,
536,373,647,162,062,118,417,471,065,621,918,535,701,563,406,165,522,694,351,
143,983,860,318,272,494,401,732,919,794,809,421,330,688,439,988,481,590,339,
097,027,446,674,495,230,243,204,009,801,240,502,899,846,665,677,529,382,014,
602,239,737,258,068,227,241,764,095,516,327,871,256,310,129,733,133,450,946,
225,711,468,933,315,354,248,598,402,653,665,119,414,006,704,798,354,305,629,
476,395,324,364,417,042,309,552,787,719,859,609,291,755,650,147,129,563,865,
429,217,971,099,329,546,346,924,062,605,729,344,903,690,959,283,112,652,529,
349,975,294,407,785,562,788,611,573,992,355,679,685,443,051,387,445,273,058,
143,522,084,183,788,782,254,694,591,366,360,874,247,932,088,706,386,588,200,
139,238,293,436,954,283,371,253,963,225,641,079,966,911,667,458,827,980,250,
583,314,516,442,354,944,005,041,980,113,486,547,968,554,501,250,292,334,019,
413,068,778,977,067,805,152,217,651,354,149,549,235,761,672,975,737,287,262,
735,644,090,301,934,785,128,268,306,074,024,480,031,478,387,798,850,694,753,
337,995,319,062,895,278,710,320,338,394,895,248,934,540,153,130,429,320,347,
077,041,797,635,326,408,404,961,397,625,036,994,608,093,177,739,954,542,324,
497,422,643,876,821,049,007,881,959,131,291,199,510,185,308,933,095,848,434,
982,654,190,705,524,774,877,590,446,281,593,248,923,652,213,250,192,869,482,
030,462,714,142,700,503,480,219,867,428,698,314,875,064,152,343,220,111,542,
048,644,813,145,986,697,300,283,852,171,107,129,778,936,881,912,678,458,961,
227,143,773,214,601,249,659,212,098,912,152,727,292,597,701,004,804,727,403,
981,901,377,817,506,615,530,260,611,788,327,824,096,352,754,439,112,020,147,
196,542,739,134,159,145,149,363,594,588,120,245,587,476,152,403,306,243,441,
613,034,796,042,174,936,468,974,318,986,254,531,667,996,402,525,957,401,998,
718,578,150,382,690,906,241,519,414,287,384,163,111,941,589,947,322,219,159,
763,609,697,415,826,550,387,003,658,817,335,341,495,098,090,328,068,716,414,
896,995,669,089,620,601,238,699,850,194,080,502,002,764,663,991,411,815,939,
857,130,904,446,874,953,534,111,427,037,738,010,556,866,499,783,570,813,994,
687,407,030,223,911,681,640,546,322,802,160,623,695,375,599,484,276,454,055,
868,862,346,725,292,289,763,359,191,205,026,345,896,967,311,758,081,207,202,
999,182,425,741,392,239,190,379,357,904,857,443,102,442,513,640,984,684,991,
669,580,594,997,492,053,861,317,441,965,663,943,042,993,565,319,244,480,934,
791,008,422,922,690,387,207,064,106,631,424,922,447,614,822,059,261,294,392,
511,174,113,144,727,265,830,002,418,034,451,241,752,940,286,057,548,749,594,
751,548,666,119,407,162,031,467,234,030,776,882,227,139,316,012,073,938,624,
332,693,383,351,049,156,671,047,401,956,664,053,955,647,615,196,851,802,710,
388,210,820,280,521,343,571,805,267,642,516,376,478,016,757,754,985,673,918,
742,527,182,681,855,760,000,529,538,375,819,553,511,679,535,173,571,497,657,
293,891,670,062,582,412,087,372,290,304,642,104,302,934,848,028,714,000,962,
391,253,111,228,158,108,004,367,246,097,625,175,340,716,007,082,126,027,778,
875,985,716,179,603,629,360,656,578,509,885,095,011,927,316,370,490,925,747,
852,642,462,188,130,483,334,783,069,695,145,682,434,270,041,024,927,336,505,
207,821,874,814,294,201,403,826,969,663,663,300,547,216,407,332,992,927,346,
174,737,140,845,922,067,174,667,362,996,401,529,367,170,970,759,152,943,729,
028,681,556,515,922,554,783,317,648,353,411,151,596,059,019,554,106,096,039,
757,629,198,563,919,313,250,388,437,560,704,328,489,455,875,617,941,256,470,
563,071,006,251,966,224,655,471,680,189,527,888,391,963,373,331,164,521,664,
333,701,134,580,474,293,607,625,114,795,291,312,429,659,366,622,166,046,501,
796,565,269,469,976,167,359,086,382,532,290,301,759,846,744,588,720,471,464,
727,919,093,359,989,315,651,626,988,505,804,949,050,457,572,422,737,676,133,
700,654,381,247,160,882,077,635,159,935,223,720,980,125,376,083,465,921,072,
924,636,375,745,778,471,447,507,838,700,888,249,436,255,296,103,954,884,865,
580,636,943,342,802,328,738,275,397,106,094,039,902,583,992,767,122,662,525,
681,971,608,280,998,272,820,814,358,595,925,173,584,602,042,235,975,116,292,
135,791,349,491,656,751,236,228,668,225,612,125,195,473,509,477,863,107,321,
614,620,130,274,417,971,057,022,491,562,703,234,378,007,660,780,068,894,195,
489,582,155,861,288,976,298,193,179,732,237,556,975,129,995,730,589,202,401,
592,509,963,141,377,984,973,811,611,374,363,006,469,619,182,121,509,585,936,
344,929,046,975,161,618,176,294,931,860,850,629,316,806,314,608,682,915,764,
792,940,096,474,829,483,366,944,567,445,068,597,590,210,785,388,827,221,390,
884,455,748,862,210,467,099,030,532,408,982,964,075,084,703,111,575,315,286,
280,685,130,442,429,326,385,321,856,062,767,500,240,422,889,786,601,231,114,
839,862,032,945,261,029,865,775,418,560,554,796,703,338,980,666,198,964,391,
472,993,725,102,935,575,428,946,815,635,053,235,176,450,333,116,788,232,502,
001,309,010,979,214,291,631,166,978,710,907,233,515,704,032,915,055,481,632,
738,905,056,079,127,585,297,863,212,356,805,990,637,128,582,232,431,853,893,
554,910,696,447,160,488,042,862,354,898,627,894,193,805,860,940,841,725,399,
272,680,195,574,416,446,187,457,627,663,259,277,502,006,076,684,676,494,920,
767,270,355,423,742,735,038,946,062,468,006,183,158,928,270,735,202,344,651,
532,935,138,214,329,345,661,797,780,341,601,076,846,102,759,407,455,207,098,
939,462,124,571,244,239,338,697,740,285,311,112,823,440,822,347,318,001,483,
245,215,576,293,137,402,676,074,453,972,190,009,573,920,531,918,751,976,053,
075,159,986,915,829,257,589,064,071,703,870,084,430,186,817,104,345,693,016,
358,395,738,394,700,693,905,370,423,071,763,731,453,415,914,494,349,588,509,
300,238,281,011,817,101,279,998,455,584,321,475,164,324,564,799,633,633,137,
291,407,195,353,228,335,958,332,076,935,258,355,735,096,312,241,697,198,926,
079,641,475,052,174,492,192,092,988,538,807,848,102,372,422,503,211,282,126,
911,291,732,045,711,658,794,487,763,111,510,417,643,120,265,510,690,545,784,
677,883,852,176,269,627,220,713,980,419,504,715,035,612,571,763,457,559,427,
979,441,262,203,237,697,888,121,517,312,472,045,945,375,482,344,482,396,933,
102,777,393,928,544,691,934,835,469,380,404,768,447,048,303,947,678,842,252,
435,690,605,254,409,124,217,606,992,246,638,461,233,818,671,046,264,904,776,
529,373,064,111,982,728,379,322,631,832,521,909,971,541,350,034,041,811,514,
320,389,422,407,638,017,668,969,419,356,149,295,737,714,799,150,332,501,497,
715,261,072,983,611,372,385,913,107,437,370,214,236,861,628,724,009,077,508,
268,458,549,283,786,271,523,028,251,907,771,596,381,476,470,013,721,666,175,
278,396,032,712,807,331,786,587,617,303,884,081,550,674,665,496,315,753,169,
914,192,613,215,270,717,204,961,972,765,961,672,529,169,082,198,989,497,444,
354,177,292,762,183,183,496,776,421,389,049,825,346,598,742,908,841,420,004,
356,760,406,016,177,978,236,359,229,018,135,515,182,971,411,599,951,191,997,
204,232,925,476,400,182,314,083,785,387,425,336,110,612,657,771,714,874,341,
102,650,780,546,692,675,015,394,587,740,245,326,977,680,068,536,851,255,159,
739,990,291,042,415,013,980,665,612,856,826,447,438,503,485,599,477,473,724,
236,003,938,008,760,717,811,954,564,857,853,913,332,730,604,671,089,977,545,
853,204,624,072,991,824,675,057,833,453,273,556,645,635,952,784,594,171,943,
941,697,658,808,641,418,023,706,695,962,452,460,579,582,191,125,787,583,791,
681,471,474,539,870,081,768,457,015,371,928,488,274,453,129,118,766,911,665,
108,747,682,227,943,712,045,531,189,952,545,898,967,475,179,333,842,699,879,
033,365,615,263,412,175,639,257,256,724,293,748,842,140,029,606,727,982,087,
632,994,734,706,544,465,148,298,931,982,192,418,998,753,184,184,682,680,480,
560,865,934,688,348,496,971,523,299,275,817,506,454,966,081,131,100,636,441,
592,771,033,684,646,197,676,385,513,891,860,632,539,118,554,077,759,467,453,
950,141,078,938,062,665,695,558,918,601,287,762,601,546,365,251,399,875,098,
376,378,964,553,521,644,061,873,118,296,947,093,689,546,408,187,938,959,875,
584,459,257,646,290,488,875,698,745,343,443,792,779,269,189,127,898,446,472,
632,415,646,913,184,450,360,786,191,671,103,915,556,388,665,298,929,347,488,
848,454,654,926,036,950,572,254,529,270,909,106,916,237,239,229,240,028,318,
287,241,770,511,109,810,479,319,671,096,648,658,900,336,565,067,124,826,335,
914,704,215,048,066,555,274,369,460,331,514,627,960,374,050,910,510,024,561,
860,056,335,959,941,062,700,369,474,001,032,491,064,709,961,932,160,082,074,
261,112,405,666,452,306,336,540,337,291,032,545,322,414,309,424,881,189,184,
738,830,578,044,639,048,412,782,356,954,203,106,686,702,090,286,808,007,638,
334,329,288,965,378,784,169,225,553,102,056,036,888,083,791,071,816,297,640,
342,595,151,447,197,217,213,683,483,089,258,614,840,831,760,054,929,582,173,
308,115,777,624,646,767,788,292,741,475,219,309,500,826,409,845,741,916,486,
808,986,496,881,467,817,135,102,472,888,912,953,322,450,792,147,908,123,793,
792,046,942,712,533,806,020,344,863,799,757,700,940,916,020,950,158,799,009,
733,305,296,760,937,423,072,278,368,089,871,770,250,435,438,953,482,557,785,
929,104,492,050,623,239,289,699,651,001,467,557,195,439,587,995,457,194,396,
136,561,397,175,839,946,018,118,036,696,765,350,575,723,526,523,406,117,985,
331,952,847,216,893,836,220,561,608,817,279,590,859,399,530,844,313,998,270,
152,810,064,168,173,909,908,931,271,323,348,271,690,440,567,232,374,546,182,
643,608,093,766,377,549,214,514,401,256,382,458,457,406,313,310,742,286,581,
717,427,266,448,543,542,448,327,440,862,604,847,941,847,483,920,251,561,457,
581,736,437,152,555,645,823,358,033,782,970,008,267,820,270,167,039,412,698,
718,833,163,420,620,181,745,988,070,123,351,881,765,027,360,256,970,516,870,
603,436,613,951,868,972,656,983,989,651,224,868,403,987,471,578,623,914,045,
905,982,777,502,305,691,371,606,315,554,944,165,638,732,056,149,238,846,190,
445,830,152,716,250,189,118,311,864,111,554,409,496,010,301,849,774,371,470,
410,845,433,504,400,865,479,995,658,335,601,417,677,991,466,000,813,143,142,
376,517,217,695,436,213,821,970,869,444,719,226,416,612,210,236,007,372,712,
930,088,820,480,817,338,225,397,835,651,623,543,416,280,952,148,023,014,188,
871,730,819,975,132,706,350,494,578,938,938,005,243,254,039,293,528,164,787,
164,330,698,787,960,704,986,975,116,640,545,055,107,467,665,710,149,811,162,
387,796,994,304,524,246,119,241,531,359,608,787,939,795,686,700,464,599,927,
039,293,137,404,540,960,247,479,420,057,999,165,694,316,322,231,971,972,421,
665,729,732,267,890,475,347,557,711,380,929,971,389,597,083,331,599,985,526,
835,656,290,463,329,053,809,651,242,326,497,821,472,116,834,077,565,801,210,
816,844,530,450,000,098,591,977,174,855,473,540,228,040,347,917,323,651,911,
117,382,017,260,516,478,024,428,847,034,152,281,144,897,444,306,466,683,188,
977,746,113,917,637,976,478,938,796,983,877,671,807,516,225,608,595,791,561,
097,736,197,460,602,907,040,586,783,257,168,314,982,197,136,212,527,605,856,
603,023,268,177,430,691,931,758,555,989,617,713,194,863,377,940,133,886,696,
758,835,504,072,685,249,850,648,369,450,547,023,437,506,937,908,602,312,559,
367,436,508,361,159,524,858,195,787,665,954,522,791,782,729,267,226,864,869,
240,065,305,254,354,812,230,082,459,417,362,204,430,361,828,041,967,414,877,
999,520,792,761,174,185,729,955,024,780,613,013,223,740,529,013,806,623,240,
195,430,325,618,650,537,909,542,590,081,660,568,787,189,971,629,795,355,835,
978,914,960,697,432,702,212,423,954,271,818,461,868,349,324,255,326,811,877,
568,643,702,603,736,688,809,564,649,155,197,340,463,416,053,206,381,986,221,
968,719,908,660,813,902,327,256,545,194,005,760,711,150,948,608,547,844,702,
669,669,232,096,803,523,268,445,561,962,570,532,823,177,945,316,559,612,717,
797,077,846,080,378,603,123,550,432,800,872,324,766,944,523,478,237,131,198,
245,742,383,537,011,247,151,809,610,137,573,283,032,018,719,283,861,300,494,
181,636,285,149,865,793,825,466,187,372,547,726,753,711,958,971,160,909,236,
635,203,897,677,064,723,973,441,698,256,202,991,543,298,253,709,366,015,983,
799,068,918,017,779,329,810,926,732,325,450,224,928,040,533,714,077,178,123,
133,096,983,253,077,937,367,600,360,022,666,785,461,910,260,302,196,010,090,
528,620,292,356,427,351,111,490,739,481,491,857,552,184,292,076,453,436,682,
213,279,969,932,821,720,858,477,705,749,942,600,051,587,154,140,722,171,625,
522,068,234,562,039,385,367,956,486,182,536,587,828,487,539,867,593,959,573,
730,703,735,734,556,041,739,605,133,299,339,792,010,811,271,502,958,270,577,
640,936,575,550,493,028,489,112,881,381,802,566,316,370,312,944,571,934,302,
566,928,521,342,924,929,540,715,854,846,981,505,104,484,724,159,192,033,407,
670,584,004,511,401,445,607,069,084,550,922,620,502,591,599,943,892,358,801,
840,409,304,306,179,620,938,084,612,159,107,166,796,349,453,888,452,532,218,
513,154,149,005,808,787,347,302,620,621,514,376,105,863,054,068,167,964,862,
435,978,262,035,961,128,471,368,287,974,295,208,280,605,863,102,384,871,104,
075,592,001,136,642,628,687,087,512,389,127,869,771,853,016,902,737,279,149,
763,000,618,264,866,276,719,717,446,069,921,287,654,205,040,831,653,232,707,
802,516,607,149,743,796,918,026,024,479,056,344,849,550,192,831,463,850,685,
371,556,914,639,380,444,843,828,244,844,864,968,012,419,661,647,624,438,737,
230,170,136,127,893,683,758,099,388,229,410,940,492,520,819,427,739,811,381,
747,113,078,846,453,813,029,869,876,259,954,840,341,592,512,651,037,318,876,
865,717,212,021,182,145,081,933,705,320,668,102,419,629,094,050,884,173,578,
745,751,194,463,732,444,243,385,137,921,995,696,196,641,072,110,290,458,216,
654,630,560,851,812,019,930,395,622,086,498,194,735,748,880,670,116,365,968,
896,891,142,607,553,522,213,109,942,615,885,757,482,947,854,974,772,161,720,
177,880,739,266,429,268,749,188,289,330,790,251,610,655,851,380,449,021,006,
558,089,920,790,478,418,190,821,278,363,417,254,103,549,666,006,358,916,772,
886,362,751,101,159,980,059,083,096,555,407,470,023,430,212,327,051,295,515,
306,826,758,329,127,546,207,757,265,344,834,590,703,876,245,323,843,245,344,
480,714,465,148,898,147,621,595,437,695,440,807,107,691,744,673,047,297,270,
581,172,760,581,032,831,144,046,810,674,002,341,462,325,575,574,987,629,420,
703,084,030,790,953,853,272,359,943,834,712,688,462,391,574,606,781,733,246,
224,215,588,116,033,278,400,487,323,164,728,989,213,840,701,313,975,422,294,
514,972,088,695,418,594,035,197,024,607,871,480,547,618,711,606,075,867,939,
900,389,821,037,129,997,569,500,569,565,714,141,037,518,733,674,569,097,734,
137,139,593,736,181,484,744,137,596,473,755,204,879,133,242,809,756,760,647,
399,490,474,208,918,834,856,692,744,365,586,445,514,307,712,840,075,075,980,
996,742,303,376,558,255,200,190,291,563,519,104,714,976,335,520,416,902,338,
952,319,176,594,168,310,040,339,372,636,102,785,183,009,835,980,470,586,330,
823,888,886,793,217,129,933,485,479,361,225,599,790,920,528,146,440,780,915,
392,883,592,824,604,913,452,873,363,029,155,147,739,102,319,783,762,532,460,
079,678,089,455,743,331,934,612,719,826,534,294,170,116,020,656,252,944,055,
849,534,387,811,418,409,333,349,172,257,205,959,306,157,692,968,971,688,433,
418,277,526,737,054,999,200,945,444,583,186,664,145,669,576,334,860,084,041,
247,364,816,772,152,262,335,223,101,191,131,538,412,373,117,927,067,023,130,
295,517,811,077,440,235,894,136,263,438,608,508,986,698,576,648,143,913,725,
632,434,232,012,742,981,978,431,214,596,921,160,673,022,771,100,766,159,646,
256,752,036,544,553,511,689,782,540,264,575,601,861,471,612,570,980,758,548,
405,485,103,868,246,385,137,321,843,310,635,586,879,652,892,733,973,868,655,
182,360,405,359,641,232,715,503,577,187,772,716,095,112,334,792,965,629,718,
212,343,609,315,506,295,441,397,551,064,468,528,592,657,350,902,017,991,137,
213,081,099,360,658,592,645,690,535,849,096,120,402,470,577,257,587,599,620,
817,628,524,515,229,048,963,862,221,371,871,769,924,083,324,582,348,088,371,
515,855,910,843,117,305,380,552,503,493,578,030,980,713,826,570,316,605,510,
714,033,919,476,049,174,286,198,388,008,906,776,327,470,729,412,706,817,556,
638,006,235,007,610,806,272,528,964,046,508,004,436,392,026,278,342,640,883,
928,987,031,745,713,968,008,422,428,429,674,633,835,936,157,340,738,030,004,
381,448,030,432,095,120,671,334,879,321,251,889,276,940,850,843,895,318,110,
410,166,982,722,946,798,801,224,540,432,786,475,697,331,854,051,954,468,171,
680,710,837,909,561,299,704,300,262,120,764,178,652,325,215,988,651,284,536,
265,723,197,777,708,019,245,953,020,415,156,544,223,911,383,633,264,005,314,
213,369,944,038,707,152,832,907,656,207,037,376,885,176,297,193,900,653,608,
862,816,954,516,775,378,981,232,485,812,412,860,153,257,605,996,577,333,921,
470,922,669,634,191,455,421,911,029,466,857,249,157,738,019,222,192,617,763,
032,167,894,325,770,025,045,042,903,314,520,127,567,607,126,926,899,774,993,
109,050,328,233,968,427,559,944,769,531,553,813,465,303,874,169,060,625,597,
585,586,351,042,798,415,637,823,245,058,736,306,116,449,873,309,752,803,502,
356,374,567,790,919,799,759,113,204,898,231,264,564,902,953,177,342,757,255,
691,645,315,948,164,752,196,670,503,714,884,214,618,786,042,377,148,421,770,
335,907,594,378,363,941,928,180,366,483,399,303,899,742,866,836,515,355,271,
448,639,291,936,986,803,233,731,360,380,940,297,558,735,928,577,351,352,305,
302,420,847,055,913,862,692,351,109,690,876,919,874,630,416,947,657,281,823,
787,197,128,939,799,930,761,326,074,210,543,143,231,364,431,695,296,755,748,
884,107,976,128,570,968,602,163,263,709,331,509,452,284,089,554,904,882,647,
820,769,092,900,428,926,348,002,508,848,288,674,560,524,678,866,184,687,936,
151,822,980,558,486,996,531,597,921,850,694,898,022,973,716,039,456,386,617,
024,430,812,613,980,577,409,906,140,750,696,850,391,373,664,594,551,144,847,
070,131,491,652,191,700,709,583,037,039,952,596,157,901,549,601,490,979,063,
775,450,275,058,774,917,937,606,980,695,375,442,049,313,500,751,304,543,262,
133,599,356,235,431,477,555,517,734,690,711,448,135,677,710,569,174,920,252,
134,491,689,822,718,451,940,562,521,190,638,349,889,857,169,260,777,675,978,
732,681,737,596,836,921,898,805,205,822,059,067,527,975,545,291,582,801,747,
872,871,912,356,711,662,080,193,241,358,217,668,992,199,464,486,410,367,769,
190,804,347,867,877,514,903,769,237,368,188,098,980,883,941,240,836,579,451,
799,899,086,669,776,259,145,006,175,203,759,986,733,443,508,546,140,472,774,
562,722,218,691,707,728,026,307,253,346,016,011,588,693,686,132,119,524,045,
828,429,806,985,290,805,706,932,546,070,486,857,242,337,615,692,394,095,642,
944,839,421,362,614,808,782,549,288,401,818,575,300,490,509,524,541,367,898,
655,739,692,419,302,288,678,019,561,586,504,019,029,017,730,955,303,160,515,
412,961,152,476,870,872,842,248,233,684,941,589,115,358,228,871,270,864,220,
465,112,826,309,323,752,592,958,707,956,081,713,271,304,495,582,321,428,990,
766,982,775,074,391,476,170,287,447,240,108,993,317,579,067,480,198,087,108,
183,901,842,673,872,612,470,283,999,031,373,209,024,374,391,036,153,880,956,
269,929,974,512,904,826,195,958,696,170,414,717,091,565,277,591,083,167,466,
370,735,034,497,408,392,890,901,389,192,824,617,874,382,788,067,413,856,795,
760,970,655,332,085,226,538,128,924,830,564,698,147,924,406,112,372,467,032,
386,492,151,303,884,787,311,898,651,764,669,556,497,089,006,226,514,207,646,
447,715,441,756,866,584,470,565,367,886,837,314,964,542,346,738,044,688,693,
667,798,336,317,980,059,188,833,058,049,415,468,146,157,391,027,729,616,066,
928,661,852,766,304,930,251,777,227,139,912,496,819,388,267,781,653,980,775,
287,965,575,639,487,337,195,898,234,954,234,557,322,499,737,756,358,872,168,
616,935,956,202,302,119,967,638,933,629,495,730,773,967,122,376,851,874,666,
703,777,627,231,308,415,602,020,534,932,348,497,480,481,534,715,168,424,610,
340,680,535,654,754,197,035,649,144,022,465,691,821,728,990,639,369,833,903,
654,847,963,094,108,576,895,512,485,024,473,563,888,638,421,381,375,499,277,
007,828,930,729,674,713,697,976,019,395,010,067,153,312,171,621,843,730,929,
817,875,251,432,179,433,580,086,177,982,005,437,898,835,183,587,618,810,431,
192,617,432,880,103,578,707,185,833,260,561,912,667,444,142,249,730,290,544,
687,966,719,893,532,860,991,163,218,028,374,434,327,303,191,905,094,140,830,
786,432,198,397,475,015,150,503,299,898,359,870,482,116,072,364,721,909,107,
287,809,893,621,398,402,309,863,576,434,864,101,760,561,824,475,426,792,390,
348,643,453,616,567,145,049,695,839,067,391,040,442,012,318,239,869,621,690,
369,696,683,288,955,396,797,812,987,462,375,234,112,279,000,312,205,089,291,
429,499,679,626,579,991,012,829,781,835,649,021,155,053,840,707,727,015,315,
663,223,929,947,926,509,863,914,211,591,378,521,432,308,426,173,394,165,981,
566,253,040,956,408,940,954,641,054,976,256,753,840,987,592,890,088,784,689,
084,702,370,916,545,282,451,507,472,853,149,899,669,126,280,866,128,676,172,
066,769,033,480,869,267,792,003,678,830,721,182,814,505,441,044,760,868,300,
542,337,492,344,245,996,117,932,223,557,169,765,174,910,197,685,827,214,971,
276,532,873,906,424,679,556,482,239,371,206,824,063,790,656,631,240,998,557,
337,569,517,006,037,794,251,437,674,827,404,838,210,610,885,666,812,648,988,
411,379,604,966,472,140,661,501,964,647,807,112,975,649,434,898,780,526,447,
347,428,351,100,887,069,218,010,645,136,685,010,322,365,841,936,037,520,822,
258,915,130,367,232,413,293,085,429,947,875,031,406,081,997,792,070,101,181,
392,934,000,081,453,867,384,937,825,913,832,573,232,359,776,175,691,177,011,
539,072,308,836,395,857,644,270,624,344,681,644,298,521,696,802,887,235,998,
997,279,794,050,916,393,854,939,073,921,345,191,792,413,932,061,351,208,177,
135,100,346,632,920,470,481,461,490,128,236,697,732,787,186,434,424,035,148,
867,895,675,044,158,601,474,055,759,039,435,224,529,359,821,811,987,205,598,
328,227,264,050,723,396,110,343,956,929,661,679,677,512,928,344,935,172,706,
489,799,891,787,326,541,087,540,516,892,685,781,088,604,530,513,873,575,214,
896,355,047,737,478,103,159,408,883,735,887,251,652,331,806,957,926,126,573,
074,801,921,401,337,227,292,922,174,066,600,832,344,079,890,987,700,690,135,
868,877,672,642,860,821,647,224,747,739,056,396,656,308,323,807,637,640,215,
013,059,312,617,608,144,745,418,058,541,571,047,787,474,855,724,477,781,155,
722,322,376,624,035,647,208,705,298,971,016,129,590,513,471,281,707,586,850,
623,179,916,310,600,503,301,471,966,108,434,869,385,411,079,684,683,229,938,
581,310,075,123,988,889,825,093,937,779,885,752,167,367,491,550,978,977,917,
446,131,792,267,372,763,065,845,091,609,846,981,117,726,547,766,329,796,062,
316,034,226,212,998,795,466,321,056,230,438,209,257,000,199,144,156,054,004,
128,374,445,663,709,535,714,495,704,022,600,887,689,813,206,418,557,345,614,
029,324,259,282,156,127,994,034,662,024,481,896,816,684,911,542,842,746,234,
699,540,890,465,501,258,043,938,236,104,787,301,706,487,521,806,666,481,097,
633,233,459,398,506,799,205,663,210,554,205,072,182,226,208,103,176,370,580,
255,925,810,230,290,808,132,390,945,006,320,284,065,983,641,440,007,012,404,
855,402,728,218,934,702,453,624,384,112,494,425,237,909,046,690,017,778,424,
176,964,892,974,155,497,483,055,744,893,664,212,092,183,425,624,111,243,379,
533,952,497,723,917,031,190,753,914,491,396,108,249,538,214,966,858,650,875,
212,727,627,002,590,955,359,599,696,031,234,245,825,849,558,526,915,325,026,
944,426,272,187,888,491,413,212,738,155,129,943,918,221,548,652,295,254,600,
013,832,291,308,119,075,856,692,803,993,145,677,154,242,918,067,615,678,013,
604,019,581,086,742,501,543,993,337,028,235,503,129,695,132,858,424,218,124,
883,132,521,290,055,439,081,753,212,844,496,897,610,961,411,967,057,216,554,
279,540,458,325,934,713,381,203,911,557,595,339,025,353,094,420,470,463,367,
813,248,620,620,526,659,526,631,567,169,293,044,200,238,364,849,270,117,325,
947,108,893,927,075,266,007,100,006,059,708,423,653,495,830,795,110,325,334,
997,039,648,788,487,068,694,794,629,457,713,002,353,737,830,124,874,625,515,
835,458,277,603,170,044,202,781,104,303,146,125,986,167,593,249,605,788,777,
496,719,296,423,149,646,948,512,303,256,769,424,506,702,431,722,592,010,167,
304,997,303,225,133,714,584,777,458,604,127,826,498,865,933,092,365,253,071,
400,378,788,592,429,386,368,219,835,157,049,062,816,824,132,325,490,412,677,
510,752,116,041,689,031,383,177,282,134,286,485,095,139,522,921,352,798,475,
922,303,315,751,584,347,671,686,765,390,285,272,967,576,955,874,572,861,999,
205,443,516,303,614,127,451,922,432,231,313,792,703,671,657,609,096,264,109,
313,793,678,716,126,032,210,723,522,547,325,661,785,674,063,100,633,097,007,
880,590,286,687,131,325,894,306,581,275,703,978,815,155,227,356,809,871,415,
438,402,065,132,219,462,121,499,960,145,889,461,330,858,499,457,818,309,730,
371,560,666,886,354,844,954,741,293,548,658,353,469,756,350,830,839,169,968,
266,598,700,329,638,305,506,262,298,552,132,126,563,008,229,592,364,563,492,
212,431,748,494,503,093,464,251,482,219,739,042,230,977,951,713,945,934,595,
241,321,772,509,886,247,757,706,512,781,959,777,337,604,392,076,272,205,047,
255,538,723,726,898,395,310,616,166,811,338,729,769,223,484,173,682,226,507,
704,888,777,239,962,029,124,946,325,243,629,066,017,676,069,604,431,328,622,
945,323,324,492,571,834,594,595,464,261,730,567,769,328,198,359,527,994,036,
396,134,014,902,253,575,701,869,915,102,042,271,699,388,137,579,306,954,758,
921,493,323,347,186,115,757,832,522,103,255,465,426,979,564,087,341,759,506,
688,073,192,042,424,537,752,594,289,998,412,953,853,407,386,422,589,018,305,
158,509,133,490,121,043,002,308,578,572,506,785,795,466,014,183,183,852,350,
302,110,874,641,996,673,614,289,643,790,212,717,629,234,594,821,738,897,966,
586,191,744,954,448,613,198,846,479,277,861,728,424,494,071,722,249,009,717,
958,831,787,183,985,995,802,600,847,771,524,966,184,170,752,702,871,639,552,
238,323,478,140,579,098,157,732,644,788,736,699,754,433,064,987,224,460,709,
982,028,883,569,627,402,662,913,892,186,721,685,309,668,619,476,031,179,168,
554,910,206,702,384,027,400,859,547,737,741,705,098,136,274,141,324,859,372,
203,358,845,542,920,742,705,692,552,161,311,835,650,266,835,407,484,683,423,
267,261,181,115,443,720,180,568,711,352,322,922,266,994,916,595,796,908,379,
644,165,010,496,600,408,260,675,042,633,704,073,651,332,970,202,103,177,911,
258,556,059,755,348,988,932,253,068,573,629,000,256,232,303,743,794,290,016,
977,575,586,622,440,806,548,907,536,565,163,492,622,643,638,223,411,873,397,
293,149,639,246,224,513,889,294,561,256,121,394,054,150,074,358,201,267,578,
173,591,129,401,158,362,273,793,825,187,573,027,742,626,825,486,929,986,062,
832,854,177,325,123,736,478,768,137,357,296,041,468,096,784,110,335,614,293,
187,047,407,158,710,715,043,414,798,658,791,925,374,713,718,107,060,800,401,
892,300,570,814,907,617,082,238,118,506,203,980,278,752,998,893,600,364,596,
457,143,539,487,137,710,924,829,031,755,500,815,160,277,100,301,516,040,799,
560,830,493,401,325,774,404,029,064,464,958,664,734,740,315,381,894,119,745,
958,292,739,612,311,396,022,753,720,792,497,597,791,114,540,597,521,041,172,
049,362,375,963,809,659,971,881,390,235,066,823,468,254,467,674,382,789,608,
273,883,466,202,681,850,964,684,756,058,064,294,553,421,144,357,465,525,726,
080,727,539,119,030,475,806,509,490,227,996,906,826,013,492,400,566,780,114,
367,042,715,292,185,447,881,864,252,748,465,822,361,233,987,108,928,526,287,
134,708,641,597,625,553,652,760,066,917,500,463,994,959,733,247,766,914,674,
027,975,543,937,078,041,024,867,235,629,624,375,368,705,363,866,736,843,191,
139,766,257,698,513,052,765,274,583,965,804,049,441,221,479,171,423,163,865,
446,732,224,208,831,145,097,710,860,275,425,253,148,019,366,916,580,419,930,
647,852,172,547,272,475,938,015,481,438,462,127,613,294,015,977,666,073,948,
560,948,848,287,235,882,517,534,813,314,688,752,833,474,823,844,298,405,246,
264,912,480,419,719,259,592,395,084,459,131,112,643,606,605,362,842,754,761,
088,293,778,117,166,159,774,191,436,122,726,937,860,078,716,410,173,469,961,
582,595,109,740,434,311,740,599,811,233,820,605,199,186,493,858,061,129,585,
814,093,777,914,399,601,560,920,526,185,480,834,548,650,138,539,065,434,696,
760,658,543,943,792,649,458,855,194,398,031,222,771,646,089,589,664,385,139,
132,501,573,863,772,457,982,803,009,891,111,874,479,037,502,848,769,229,270,
422,652,661,354,140,790,812,827,975,559,616,503,569,521,728,643,751,529,066,
554,638,565,673,364,125,651,779,364,181,335,599,309,715,140,758,849,625,154,
223,838,523,052,726,721,722,390,219,569,441,807,946,907,254,468,388,549,053,
867,696,265,646,051,663,233,685,502,311,995,371,102,929,369,655,077,061,497,
256,722,273,032,574,553,360,625,238,229,527,067,785,130,509,277,031,914,292,
454,813,721,106,827,320,555,763,173,081,784,586,931,682,513,269,806,495,567,
371,992,009,087,639,522,902,964,171,263,306,965,492,081,177,173,802,878,766,
724,579,635,607,324,140,875,928,928,327,051,825,881,203,954,488,326,709,315,
223,971,691,384,208,892,763,403,752,155,168,273,219,239,229,830,740,979,359,
718,278,737,059,922,157,560,147,434,206,024,927,356,407,385,972,997,150,548,
636,478,626,305,021,255,778,085,867,029,935,297,688,215,030,592,228,766,322,
507,457,921,023,256,530,489,317,284,886,048,186,536,583,268,589,012,491,984,
037,071,764,647,461,269,029,153,269,572,597,932,257,173,679,054,882,217,926,
753,515,513,446,538,055,332,843,705,203,984,404,298,446,190,169,142,648,985,
042,697,524,379,886,077,504,390,844,912,191,041,412,149,951,651,942,874,676,
672,420,762,974,226,838,518,098,753,199,677,437,338,501,848,669,824,951,708,
664,165,821,828,658,016,627,506,898,978,513,974,188,584,668,002,310,234,478,
148,535,764,592,029,006,843,216,656,452,200,955,868,281,653,024,807,209,406,
783,890,913,189,148,348,819,221,647,372,689,322,268,720,643,785,261,398,673,
386,627,711,959,175,870,383,969,778,748,304,886,038,441,640,246,950,581,720,
938,359,860,232,933,217,606,774,206,573,199,926,113,815,504,314,495,358,648,
441,948,856,842,469,041,232,621,096,482,478,532,613,837,542,042,945,967,341,
664,218,785,995,720,711,689,038,441,051,862,306,564,033,223,546,050,778,213,
090,222,588,629,116,180,061,066,263,249,077,261,170,670,119,759,959,490,680,
084,599,247,422,082,557,716,055,156,385,158,255,672,461,934,952,802,894,930,
350,098,717,599,849,928,852,900,897,421,163,873,325,408,110,988,444,801,892,
664,875,235,625,038,757,962,535,307,320,514,743,633,239,078,830,261,216,187,
274,012,559,295,580,708,409,235,247,472,115,171,257,158,166,490,444,459,628,
399,068,676,070,254,324,705,675,347,557,026,966,178,235,977,161,275,332,727,
906,665,587,789,027,242,045,997,117,823,550,860,512,574,467,575,989,941,134,
711,984,046,402,204,935,440,881,374,186,925,547,118,295,733,829,721,135,368,
273,736,487,320,484,599,706,547,278,733,643,984,132,719,227,298,296,727,694,
668,595,778,398,610,584,644,560,003,232,866,790,146,135,639,794,420,467,947,
554,880,413,676,393,009,385,417,956,401,630,189,186,659,194,870,830,749,823,
581,145,118,798,168,122,811,954,913,279,321,622,396,516,237,558,914,571,109,
600,209,065,530,003,560,468,911,411,661,555,767,921,543,934,040,451,126,692,
459,003,978,462,107,362,271,844,685,927,196,457,458,065,769,029,745,623,393,
055,831,748,116,214,040,874,703,375,359,206,096,051,479,187,327,494,906,101,
428,802,913,221,813,344,522,303,277,963,755,430,624,966,211,589,655,551,366,
929,073,359,878,491,632,972,917,221,217,900,459,612,281,160,333,573,546,828,
545,057,179,502,253,808,277,630,993,935,762,393,752,501,199,903,876,052,579,
610,717,909,383,169,626,017,285,052,535,953,597,838,146,688,855,821,147,967,
281,817,361,155,344,099,602,824,422,523,721,117,583,898,379,602,760,049,747,
881,585,677,562,719,242,864,883,007,676,943,001,061,840,930,242,568,768,754,
525,852,099,019,920,779,944,101,476,823,557,927,979,568,169,267,101,954,439,
119,167,922,186,238,118,790,855,509,535,564,023,739,605,347,295,777,869,226,
230,183,575,924,021,495,908,626,282,507,343,745,365,027,186,542,797,163,802,
746,530,051,661,096,247,923,327,714,449,505,041,352,974,251,266,266,834,237,
280,794,744,520,615,505,542,404,465,164,536,291,577,814,285,444,099,102,738,
302,456,324,078,705,441,873,273,855,692,831,185,189,538,794,840,052,381,466,
943,684,468,258,035,330,240,124,301,888,147,528,032,731,162,489,155,274,898,
807,194,870,838,821,167,100,176,403,334,784,965,910,604,871,883,802,388,534,
510,260,054,589,297,470,628,553,392,974,668,238,658,395,069,465,449,034,800,
117,889,514,990,674,720,800,665,627,713,566,783,592,371,771,206,594,690,140,
613,013,844,382,975,982,838,111,702,565,280,287,523,380,848,748,850,505,991,
819,931,015,280,656,163,100,091,237,604,149,797,944,210,867,662,411,702,755,
249,668,680,113,843,280,199,184,262,054,845,283,303,112,746,650,150,989,457,
792,636,044,509,796,373,528,360,011,568,807,949,104,618,032,490,619,846,725,
238,311,474,459,257,184,126,320,847,221,980,051,583,260,701,670,449,335,217,
864,818,357,562,102,443,275,461,500,727,383,330,013,657,775,263,747,400,133,
229,334,580,578,800,919,876,548,971,872,156,923,059,724,733,784,901,035,222,
781,605,453,675,793,053,974,029,111,238,742,839,776,499,662,931,184,983,536,
365,210,985,015,228,282,510,149,766,745,146,245,405,318,072,970,564,562,441,
031,440,547,828,648,737,529,238,199,510,570,858,739,413,400,159,729,292,510,
892,987,032,094,040,231,668,280,171,124,708,078,282,185,509,166,022,172,276,
785,458,447,260,657,228,750,207,321,665,269,288,285,647,723,082,230,750,637,
768,945,020,534,650,123,095,531,045,180,415,573,702,477,760,681,039,375,334,
407,486,017,879,534,743,810,124,779,521,059,065,175,508,344,279,094,580,315,
391,309,192,285,139,293,947,569,234,853,732,300,679,008,173,097,225,258,076,
257,229,101,581,224,400,012,001,852,170,315,378,436,226,225,767,186,221,410,
131,646,919,392,438,168,361,226,239,040,064,317,011,332,121,141,240,087,727,
535,248,450,620,201,916,568,991,505,181,164,517,855,211,814,451,915,515,714,
004,686,234,070,035,804,811,446,345,260,261,802,637,327,662,286,175,742,321,
040,900,384,369,207,064,541,594,806,481,408,824,200,229,579,334,419,428,890,
076,511,582,732,645,132,719,401,486,321,804,552,514,683,667,493,438,030,048,
130,574,126,059,725,214,058,854,668,709,572,189,485,414,626,030,069,209,180,
370,861,679,745,711,920,553,830,290,052,325,946,346,058,211,830,689,168,199,
650,930,948,861,310,232,482,348,416,086,886,725,237,326,986,907,849,311,334,
948,799,703,209,031,778,842,791,952,586,984,706,004,627,628,585,230,536,473,
505,563,239,859,565,364,136,382,596,806,114,264,934,015,946,468,771,727,162,
380,206,229,277,276,058,357,720,907,999,785,890,473,418,639,358,558,448,865,
518,670,143,744,953,625,996,041,515,229,197,304,209,546,939,884,894,002,662,
316,882,787,822,871,599,982,901,230,883,464,356,654,967,931,017,921,217,793,
883,717,575,565,139,468,237,155,332,839,739,756,984,163,858,686,830,312,059,
361,165,306,922,973,457,679,784,736,323,477,495,470,064,087,001,846,168,555,
664,143,596,968,621,511,783,053,097,837,689,119,574,510,870,510,121,652,880,
950,327,580,808,848,583,601,640,950,206,546,836,545,971,380,449,163,760,098,
145,287,838,128,142,515,827,269,705,415,181,481,989,528,290,573,242,438,841,
135,013,969,925,687,266,879,228,298,838,551,824,465,908,057,607,064,197,975,
376,447,891,180,985,189,419,003,100,174,747,787,369,823,762,815,374,827,292,
942,189,641,903,673,252,391,393,023,543,356,857,399,915,351,254,242,356,534,
668,400,168,127,468,034,886,854,483,526,462,439,388,517,936,789,214,778,740,
149,222,634,391,702,186,187,349,654,041,409,118,297,427,855,217,530,219,262,
317,066,367,537,182,355,734,598,204,692,537,918,515,998,515,022,453,237,687,
166,255,105,259,843,551,026,112,680,294,821,238,099,487,225,817,327,404,189,
172,723,271,562,493,060,676,413,220,180,645,479,205,003,950,026,886,398,778,
477,876,861,154,669,928,514,701,984,340,826,277,639,998,970,589,335,051,755,
160,128,795,589,533,667,989,383,357,574,993,535,571,491,253,289,219,685,292,
695,147,664,894,130,674,525,791,304,811,291,933,283,855,720,351,979,063,670,
782,387,383,751,408,272,072,116,491,234,060,172,540,558,010,979,724,863,100,
903,726,741,242,729,564,546,705,710,788,570,385,260,530,716,323,133,226,377,
739,544,880,807,656,535,634,153,781,975,779,468,073,076,901,864,434,263,741,
991,756,198,165,759,345,615,293,920,675,745,359,761,784,412,005,607,126,848,
297,579,244,852,108,310,336,780,640,993,426,008,646,504,241,767,413,594,007,
240,227,817,343,927,761,338,141,270,418,746,002,416,054,485,609,125,261,438,
256,466,324,772,741,468,616,879,957,394,658,630,509,051,276,025,807,135,368,
393,900,080,445,527,237,027,968,314,276,576,018,060,148,794,541,079,103,612,
630,788,695,009,087,026,883,305,118,093,786,608,412,431,246,092,438,843,363,
954,809,005,558,451,286,367,037,116,120,515,725,265,408,395,340,462,492,443,
478,392,988,714,196,726,275,284,435,213,882,543,558,506,028,969,825,358,977,
921,914,595,697,443,673,287,050,010,940,734,784,886,286,024,028,124,413,556,
645,767,163,980,550,293,610,736,861,646,903,196,356,907,093,461,513,340,608,
381,056,098,822,190,597,482,648,719,586,425,230,417,148,014,631,781,774,213,
996,039,154,903,086,035,708,829,392,270,095,047,867,612,601,231,736,677,685,
108,583,301,369,079,008,297,519,805,423,979,718,045,694,898,452,816,748,599,
914,074,462,458,894,006,425,848,494,983,715,617,908,431,887,361,514,351,359,
156,439,219,081,733,482,501,632,915,267,179,814,784,389,376,629,821,642,757,
452,670,396,762,868,473,283,077,045,720,857,553,526,077,160,362,215,703,968,
178,879,542,742,277,431,234,414,068,195,474,785,441,271,598,943,775,460,698,
033,644,479,120,328,349,018,741,809,758,502,945,123,471,259,385,918,703,519,
847,205,669,783,162,287,175,408,301,089,416,211,249,906,673,416,754,319,277,
726,469,716,286,717,152,854,780,796,616,053,547,176,828,003,502,894,465,788,
058,268,834,762,250,677,114,618,892,854,033,700,972,880,129,724,994,914,686,
444,717,396,872,522,680,038,534,810,939,589,353,893,744,757,322,373,271,110,
159,852,759,941,055,756,470,204,132,836,578,105,772,153,697,424,046,442,109,
103,963,852,481,215,942,562,579,560,476,791,518,757,706,312,528,524,811,687,
297,335,347,942,371,432,644,786,200,104,274,266,055,138,698,679,819,192,513,
703,450,883,813,954,083,326,067,193,517,226,045,144,794,407,245,831,441,828,
848,415,559,568,389,316,651,956,209,113,457,134,857,857,562,728,932,761,751,
862,375,197,231,292,134,509,294,804,452,909,472,636,523,307,199,692,994,236,
582,866,217,869,246,081,641,784,221,233,134,355,058,597,626,880,431,149,146,
163,655,257,735,678,614,673,946,648,883,216,932,358,316,691,719,067,740,681,
976,440,051,913,834,006,245,194,674,612,330,301,402,578,986,592,960,500,589,
079,960,800,343,320,634,269,162,701,953,161,313,431,778,656,782,960,376,550,
982,332,406,044,013,966,048,882,541,163,250,916,499,347,795,074,518,367,098,
613,443,565,756,138,359,142,055,968,038,926,995,513,415,501,309,063,051,523,
259,492,004,331,144,913,052,459,863,480,235,659,656,690,573,199,085,793,539,
738,233,671,235,841,363,773,078,907,758,727,898,554,932,115,482,453,231,207,
813,573,888,351,972,030,182,125,950,617,139,840,151,380,212,079,347,603,652,
508,891,067,437,840,480,635,558,001,039,973,134,565,594,781,210,098,857,919,
577,233,554,059,271,198,893,883,886,502,837,821,284,917,495,131,950,237,031,
942,242,595,353,246,790,396,854,888,075,371,689,625,470,325,211,123,515,436,
561,884,196,896,822,133,352,503,153,859,822,198,129,943,783,462,125,652,747,
241,690,308,110,852,216,460,776,978,560,997,707,316,571,723,727,271,362,180,
532,584,800,650,795,133,267,627,597,319,887,230,678,486,304,763,041,732,960,
498,650,296,469,776,736,864,884,206,242,482,763,700,442,858,520,163,041,672,
816,223,816,600,701,835,755,154,304,670,640,972,555,160,088,379,790,412,388,
416,340,078,628,972,608,312,556,093,607,756,974,101,153,224,265,094,570,311,
533,219,728,556,118,660,250,382,402,777,155,471,396,161,105,192,107,188,543,
416,438,106,451,116,382,009,091,087,115,562,157,446,822,163,402,187,976,728,
050,163,664,298,916,023,535,587,452,578,623,506,261,448,634,344,594,051,359,
056,445,025,236,949,872,880,050,940,678,488,221,319,446,437,111,264,014,520,
980,336,988,281,402,807,153,492,130,445,493,340,521,535,688,777,579,882,958,
812,885,717,815,134,253,116,735,565,341,011,135,489,880,887,673,766,410,789,
905,972,045,871,087,197,878,211,644,999,238,561,573,151,475,483,789,131,110,
673,251,267,865,750,638,292,834,220,433,878,256,260,985,248,973,711,588,590,
325,607,742,851,740,346,387,756,391,109,200,091,493,960,217,182,934,541,187,
788,074,248,792,843,538,463,493,694,173,416,995,272,615,821,457,479,432,347,
016,475,704,880,443,563,625,819,275,784,089,118,815,605,972,233,947,303,375,
764,703,838,855,741,958,837,977,270,942,950,530,705,545,579,469,410,810,536,
715,640,802,257,946,434,445,242,006,616,521,908,774,684,242,878,200,450,277,
156,561,347,222,340,414,805,078,772,717,572,208,521,852,612,654,901,332,111,
564,275,433,805,585,589,593,685,867,584,842,561,890,289,339,859,654,688,696,
578,544,469,024,973,363,509,866,592,810,495,030,459,874,632,256,345,606,375,
202,270,607,546,914,041,842,035,871,394,061,962,525,578,623,971,547,802,804,
752,995,823,140,753,783,001,053,951,970,497,390,755,910,654,766,594,778,292,
150,741,669,922,682,045,097,593,648,378,770,199,268,212,400,006,745,295,358,
293,360,201,363,628,346,735,920,178,411,234,555,440,547,733,042,140,002,023,
528,784,048,754,670,084,037,895,434,505,244,127,486,856,044,136,128,751,870,
525,765,712,564,460,624,628,366,299,554,735,633,210,096,030,192,770,962,397,
254,918,686,767,261,029,597,111,869,792,891,972,664,852,404,724,832,528,677,
870,587,932,620,365,817,325,852,715,053,512,309,638,018,189,957,166,925,029,
829,638,414,491,343,614,065,638,560,080,624,936,573,413,318,791,840,288,560,
788,611,774,314,831,438,439,194,247,584,769,930,995,136,242,010,188,048,293,
071,562,500,797,116,171,649,867,149,824,255,020,950,957,323,758,955,016,144,
664,105,720,089,533,313,831,277,356,750,873,932,029,980,547,005,517,110,717,
964,613,253,690,665,056,066,420,188,393,080,930,095,330,979,067,208,654,016,
653,752,757,267,312,237,517,369,129,496,440,154,897,718,588,208,310,506,782,
683,301,323,129,081,879,310,889,541,888,196,932,884,689,560,723,933,694,689,
583,638,566,728,374,510,836,509,291,419,790,065,967,689,568,554,481,089,360,
512,571,846,939,404,278,224,621,570,672,090,089,954,389,806,225,201,737,920,
959,704,522,397,732,439,764,912,750,934,931,635,618,760,174,400,961,204,116,
940,657,702,332,894,126,304,680,453,297,687,488,399,569,273,807,241,582,567,
355,349,244,374,759,929,827,830,508,809,639,649,800,034,369,773,571,745,151,
125,439,423,914,938,311,302,910,494,846,697,349,758,697,603,149,583,616,520,
605,312,623,006,944,534,694,864,930,682,246,847,199,169,730,046,221,074,478,
039,054,720,746,380,985,724,253,574,535,919,464,538,125,727,553,685,767,291,
452,681,296,312,049,179,308,479,561,318,325,478,423,849,928,721,576,032,586,
997,384,423,804,100,715,543,944,970,547,703,580,591,457,840,453,706,485,644,
567,472,753,444,363,727,246,076,356,566,343,021,080,058,784,207,099,645,745,
135,303,798,971,753,557,470,391,802,971,927,151,731,498,160,918,953,904,067,
842,197,192,149,638,941,919,000,276,004,891,823,433,471,691,717,457,979,073,
488,372,720,857,989,694,943,921,268,931,928,463,061,994,324,307,239,294,686,
856,576,713,168,693,001,056,121,141,193,565,714,942,897,031,263,131,419,979,
776,753,863,746,545,396,161,080,129,104,100,353,187,820,131,694,228,451,247,
758,152,049,814,104,826,488,626,744,100,702,256,420,196,115,365,941,437,523,
361,407,136,269,953,222,759,067,666,822,419,767,680,418,781,124,910,124,304,
572,096,403,877,865,569,024,523,349,164,607,050,715,595,862,150,423,623,941,
093,363,406,334,340,000,647,706,474,868,565,122,322,259,087,914,116,815,360,
835,599,634,009,863,890,682,659,919,200,368,671,857,170,915,763,700,763,614,
273,879,957,621,946,830,013,375,982,902,057,447,460,545,708,214,294,973,974,
907,649,621,958,036,141,397,659,003,849,117,753,918,896,814,599,183,035,668,
116,525,773,719,545,545,170,817,978,539,661,772,807,897,376,287,667,246,291,
522,277,402,528,297,752,825,853,624,386,843,693,318,755,521,201,616,751,655,
386,225,515,608,138,297,707,577,264,715,063,358,807,984,029,571,036,407,853,
673,870,040,595,151,098,577,004,695,833,250,956,572,302,117,930,244,675,796,
607,301,887,607,542,211,356,884,848,695,660,850,234,680,196,628,945,786,455,
418,234,236,872,852,991,348,427,625,843,347,453,706,553,008,533,271,510,161,
461,754,327,223,170,811,549,911,036,070,794,168,175,789,401,157,346,747,451,
349,118,833,339,792,553,356,125,710,056,878,919,206,444,172,067,668,413,346,
840,149,803,283,837,360,145,264,703,289,802,225,452,513,047,978,386,289,626,
740,669,209,071,901,989,906,572,742,549,352,701,615,053,716,170,802,539,023,
352,013,687,283,378,611,278,930,955,427,643,067,958,338,580,732,334,620,052,
591,670,021,938,288,521,065,734,025,387,245,072,603,697,263,939,627,611,191,
917,280,283,255,173,594,835,389,254,281,037,352,614,580,831,320,754,483,236,
269,699,686,916,056,466,540,938,089,689,281,577,129,265,035,454,620,781,428,
376,526,593,633,626,571,042,760,871,150,835,419,261,517,230,198,037,451,746,
915,936,290,317,211,344,718,867,942,603,294,747,261,679,713,115,972,233,804,
290,115,796,243,080,790,024,769,270,013,320,828,326,293,659,780,031,348,531,
496,898,892,826,083,583,574,574,764,938,904,460,886,432,587,662,092,863,935,
536,788,335,636,223,053,563,258,180,777,087,991,896,404,149,037,334,941,852,
712,572,853,594,835,255,914,280,805,393,464,334,673,587,313,712,393,237,495,
077,200,845,568,369,566,702,829,407,834,977,228,789,107,271,696,050,584,173,
134,131,777,596,689,633,199,420,091,133,289,845,501,067,183,629,150,472,678,
366,139,096,274,154,032,518,180,945,355,667,471,492,252,824,916,865,234,375,
965,813,850,677,735,390,975,734,565,806,875,901,373,411,307,593,338,878,700,
071,228,345,178,758,794,114,923,349,875,317,269,234,539,025,257,060,348,707,
622,382,423,721,910,999,095,315,424,912,041,970,435,265,642,991,786,217,187,
331,532,940,262,585,635,038,070,038,760,047,326,900,583,323,696,426,237,381,
077,005,329,624,894,218,044,377,702,400,834,656,617,977,659,293,196,001,153,
239,823,057,683,537,869,938,869,675,741,419,448,876,834,749,995,074,855,015,
963,155,404,803,787,071,778,227,893,189,716,698,759,564,836,412,316,982,389,
827,110,552,551,468,499,230,284,589,021,797,522,780,985,011,100,051,611,215,
237,617,842,638,033,629,245,892,156,974,355,819,082,462,801,657,056,516,949,
883,061,702,576,768,591,667,940,028,091,288,132,118,588,322,229,391,289,479,
024,215,076,896,209,397,253,987,526,403,480,422,394,576,062,525,939,122,612,
155,562,886,578,264,335,189,957,625,571,159,116,587,687,965,671,439,804,220,
471,348,737,938,944,660,961,106,365,736,992,884,453,739,877,334,749,963,579,
253,357,878,512,183,515,031,544,813,006,318,670,817,402,999,605,190,890,483,
411,454,621,069,577,551,717,239,616,942,475,312,992,702,430,070,281,430,433,
004,351,780,238,544,962,519,104,294,065,730,357,781,091,325,898,937,807,236,
643,432,512,175,551,328,397,699,447,847,593,965,154,485,640,613,328,630,032,
064,323,356,918,480,327,227,478,611,387,935,793,467,105,806,493,714,244,720,
830,081,805,030,024,968,168,043,890,298,482,646,492,220,351,721,192,657,758,
357,542,192,461,698,213,267,133,728,359,864,049,409,044,338,958,697,555,577,
476,728,173,029,027,255,450,663,945,631,922,926,560,999,852,676,471,622,061,
478,633,789,564,475,327,003,399,703,018,759,655,306,579,116,689,387,342,649,
619,728,543,794,720,146,726,109,707,546,786,399,334,389,093,540,357,317,372,
386,986,213,859,253,647,697,383,694,684,514,765,666,161,134,701,933,235,943,
135,156,276,030,179,493,711,140,511,684,468,755,902,553,686,209,028,061,341,
748,205,222,857,306,830,529,257,996,401,690,304,838,220,884,552,521,519,814,
232,816,939,831,932,389,626,773,117,139,666,770,525,556,055,560,511,783,943,
644,468,840,041,232,434,043,509,946,762,057,579,773,628,678,478,085,423,707,
827,493,251,790,201,939,078,394,399,480,089,979,027,822,194,400,768,642,125,
750,117,035,651,184,996,690,625,075,382,705,983,663,885,122,871,802,378,809,
841,860,128,958,412,009,635,289,470,437,420,837,078,958,824,133,971,491,445,
208,540,647,498,824,772,463,633,547,967,587,079,691,852,011,967,391,457,234,
984,670,754,167,150,369,106,329,213,626,863,530,617,551,232,829,406,493,511,
071,664,445,683,932,567,361,759,136,222,702,799,578,959,108,840,768,000,594,
949,409,825,651,585,051,454,336,106,526,843,899,956,507,526,305,631,948,238,
141,042,202,659,515,138,744,095,222,170,403,668,472,455,034,398,839,982,295,
221,191,326,535,082,274,554,922,380,936,731,349,879,890,839,660,082,976,735,
782,512,697,340,411,392,303,119,252,738,450,340,941,057,731,942,468,668,744,
381,697,160,647,228,278,289,211,569,582,999,452,505,481,140,634,043,481,669,
184,513,025,082,165,076,395,089,097,428,098,089,921,137,763,638,591,659,105,
514,177,806,331,218,357,664,840,812,463,765,132,351,942,096,712,129,875,157,
902,349,615,133,950,783,613,087,403,841,129,228,290,248,272,535,779,862,073,
703,569,009,399,044,320,701,109,697,643,135,732,321,579,255,926,639,122,565,
776,333,405,053,779,928,400,170,629,806,164,851,637,911,612,366,805,557,704,
746,589,862,311,564,016,580,583,692,825,742,964,711,676,653,658,194,260,266,
523,887,998,902,517,102,980,398,848,755,857,864,673,430,272,883,948,304,403,
015,259,297,901,381,757,881,052,802,744,161,453,769,660,591,714,453,075,049,
870,564,583,184,854,344,757,643,133,335,487,364,793,442,926,253,019,408,336,
178,010,246,307,075,020,097,494,234,660,486,137,803,445,347,976,449,472,547,
075,265,638,469,124,390,355,517,909,825,736,116,613,913,641,786,241,818,314,
274,335,304,893,904,360,568,578,830,647,932,513,789,817,219,179,400,349,670,
015,602,802,391,330,037,592,569,138,845,873,470,276,152,031,264,837,902,163,
747,373,387,190,463,326,484,439,992,162,070,375,983,862,242,477,276,989,719,
197,575,537,501,471,505,439,133,892,820,084,299,856,619,132,753,703,445,317,
870,798,395,808,260,409,886,042,219,786,286,646,182,775,014,818,657,230,167,
880,403,079,054,798,368,639,846,128,569,995,907,937,739,179,220,651,632,874,
164,686,161,955,076,897,965,389,470,231,324,956,803,307,005,154,920,350,304,
357,314,910,346,906,268,789,867,841,769,461,057,359,997,354,109,089,745,741,
329,392,688,474,449,467,829,269,148,615,579,865,362,323,301,738,064,356,604,
617,878,955,875,506,157,632,734,514,439,751,811,763,716,583,137,401,027,841,
009,620,763,642,434,559,383,754,998,217,053,056,649,776,534,075,380,554,985,
318,944,812,726,533,112,120,420,085,400,528,374,784,229,937,239,574,305,094,
457,703,276,005,974,689,945,859,383,010,591,943,969,355,424,589,784,940,655,
845,202,757,219,894,574,952,269,194,292,741,085,221,114,325,452,128,865,903,
649,487,631,576,581,408,012,495,548,953,196,124,384,065,104,217,008,998,713,
267,931,170,132,653,472,195,928,356,124,493,955,066,109,326,356,628,950,591,
569,720,899,030,243,161,387,752,060,682,589,128,497,662,756,366,289,639,689,
511,860,101,519,486,351,608,127,296,975,177,443,324,104,417,739,771,691,574,
334,580,310,432,655,056,961,410,287,122,223,834,796,693,210,519,090,280,069,
271,347,741,459,433,766,409,080,948,557,365,002,189,904,627,223,061,266,266,
049,995,139,915,921,267,056,321,460,327,234,098,811,056,676,234,568,860,870,
939,990,527,869,054,966,074,017,168,545,964,519,210,394,701,371,422,786,844,
419,996,646,315,040,000,505,470,434,787,524,270,705,502,993,291,864,849,292,
141,038,288,082,484,668,318,734,958,165,122,248,082,651,069,916,189,845,017,
656,493,733,659,069,613,058,163,018,155,029,850,311,071,671,412,351,283,617,
439,980,684,283,558,171,500,195,281,138,079,374,975,948,354,560,953,786,618,
263,438,894,315,442,199,732,942,496,790,419,547,618,134,973,569,880,549,750,
284,137,521,982,482,447,732,623,563,663,272,150,564,840,521,024,515,337,471,
879,708,043,398,431,155,239,996,278,580,982,675,960,912,248,130,380,517,841,
928,172,604,691,458,824,896,765,383,589,644,544,055,492,807,183,040,237,258,
739,498,020,505,765,501,376,923,522,269,266,790,367,958,298,291,518,711,360,
081,240,076,854,658,399,830,490,215,050,675,546,592,293,100,275,846,986,237,
178,982,234,486,600,189,365,140,464,329,281,635,156,209,259,850,591,483,886,
778,049,257,177,149,098,679,521,357,222,703,529,266,115,512,141,238,152,484,
494,151,880,241,102,876,360,472,272,044,740,645,321,801,745,372,091,687,898,
877,869,785,459,814,451,419,083,187,323,728,027,312,951,419,876,824,904,997,
727,242,400,055,434,503,469,222,384,582,021,835,527,514,464,496,004,797,392,
039,304,908,676,256,890,610,303,618,490,453,359,092,714,514,877,658,568,709,
385,541,660,997,941,722,234,850,698,055,754,901,520,121,568,366,501,855,706,
366,700,950,314,624,293,719,414,831,981,301,059,242,539,848,839,664,587,959,
093,323,800,124,832,469,968,861,225,231,897,617,422,003,882,176,833,286,072,
761,198,806,108,409,280,774,332,853,861,936,159,689,963,322,250,711,453,315,
583,907,992,931,862,008,101,307,607,771,371,362,982,232,804,671,889,429,439,
727,731,502,562,761,623,978,862,432,440,698,944,385,583,276,307,872,981,887,
638,187,878,481,056,984,938,071,522,389,279,830,191,633,460,500,112,542,377,
380,804,361,112,426,196,097,669,840,084,098,626,125,728,723,420,094,836,849,
139,312,199,248,413,386,955,721,562,535,742,534,825,332,905,279,734,107,448,
842,256,248,494,699,018,015,130,928,394,662,881,100,993,616,409,624,703,168,
511,492,745,680,154,439,741,853,049,174,613,326,402,125,152,233,720,582,857,
296,856,759,312,381,288,646,078,965,749,334,943,107,846,586,304,734,719,768,
137,484,691,974,506,769,274,888,868,103,980,589,241,699,044,762,400,046,632,
024,160,895,333,363,659,256,185,534,301,745,482,999,325,406,569,045,374,599,
022,137,295,646,332,465,304,655,544,407,073,549,867,899,152,666,562,736,085,
635,518,447,816,059,473,182,117,482,215,022,625,473,313,064,503,443,479,666,
307,047,786,623,839,856,848,194,394,915,866,618,040,971,161,559,307,860,632,
435,046,464,387,776,667,613,609,675,347,562,108,266,382,533,398,068,532,477,
595,072,636,485,880,644,225,942,515,383,046,987,366,773,174,003,587,112,265,
025,072,012,205,385,738,596,534,635,245,522,479,796,396,098,684,350,085,625,
550,901,030,594,805,411,769,632,036,489,219,282,683,470,069,348,147,995,036,
590,111,905,309,265,084,467,759,489,391,163,552,558,411,838,913,257,411,668,
916,859,334,005,774,727,220,946,589,089,842,512,143,630,596,247,906,142,028,
116,890,558,830,274,569,673,253,270,164,481,623,472,153,165,183,592,975,587,
775,264,523,317,509,490,919,982,480,925,378,920,784,093,707,677,369,602,750,
814,441,336,129,120,313,152,718,217,596,011,063,909,773,515,909,769,101,589,
797,306,052,414,444,986,368,443,652,335,948,013,241,990,194,072,435,149,142,
629,694,694,091,830,883,564,170,161,128,501,156,066,705,915,748,151,411,944,
975,465,919,347,306,810,881,753,177,880,735,272,993,057,107,976,845,524,054,
468,243,491,353,842,591,428,860,875,736,341,136,374,254,307,917,791,398,334,
420,838,821,487,833,719,104,896,792,060,486,724,222,928,271,348,618,934,083,
523,949,990,787,799,365,205,154,796,698,419,319,649,880,945,262,562,747,867,
909,091,735,579,073,520,657,387,074,825,218,480,116,419,349,468,424,319,634,
331,468,505,108,934,964,943,215,667,600,914,144,570,753,692,237,083,666,153,
344,607,879,063,622,055,214,121,937,796,988,813,518,133,780,631,358,790,593,
069,315,855,533,501,730,000,093,424,193,349,275,419,414,206,494,106,999,326,
271,096,236,184,810,477,800,390,930,724,525,674,658,379,364,124,045,000,643,
735,274,349,643,691,959,265,842,317,650,875,250,784,133,266,735,959,692,558,
488,367,005,858,860,526,617,186,071,750,424,135,657,475,827,462,714,143,759,
141,866,541,236,547,758,015,917,407,488,798,021,644,461,287,954,255,689,038,
367,027,600,154,712,865,828,947,287,009,130,844,250,031,729,405,784,577,366,
048,252,707,683,192,986,089,373,713,363,261,833,839,914,979,048,096,442,598,
000,607,756,601,673,814,778,965,852,204,202,170,538,125,349,891,095,299,683,
976,341,305,947,739,202,144,986,343,149,496,055,736,450,612,728,537,076,420,
710,195,256,508,142,528,917,005,275,497,975,134,628,601,356,599,698,067,446,
702,396,078,359,588,231,312,776,703,141,495,037,177,593,036,664,255,361,368,
704,013,529,513,203,196,008,814,097,323,275,904,390,260,343,591,780,911,496,
685,468,984,906,608,776,830,510,889,543,401,145,112,565,811,620,346,078,644,
018,913,694,490,336,302,180,463,311,495,170,407,816,107,912,038,380,159,766,
301,378,089,456,881,328,105,715,636,482,215,342,600,990,493,830,024,331,886,
060,567,699,923,410,591,789,993,713,381,647,386,192,129,667,608,225,661,019,
649,280,971,857,162,118,110,207,690,048,350,702,789,699,909,842,906,890,511,
597,939,792,002,640,563,191,948,572,486,731,609,767,210,001,926,711,946,495,
202,427,077,700,131,400,606,489,924,767,638,963,738,697,166,929,211,936,899,
445,060,768,389,249,009,428,257,872,615,832,512,286,259,222,403,520,033,833,
481,475,722,006,067,426,871,772,462,601,896,477,523,419,427,762,730,833,060,
770,778,425,422,384,115,635,733,199,280,943,204,204,127,255,713,152,264,338,
938,125,979,012,287,970,044,456,440,513,788,564,377,364,754,178,451,356,529,
695,674,048,548,807,838,142,964,450,022,982,776,696,891,406,755,025,577,723,
749,465,967,068,462,879,353,810,355,310,621,035,513,456,128,332,150,391,874,
059,253,208,070,758,217,264,498,854,866,402,907,437,240,914,200,507,586,565,
537,031,894,856,580,490,422,878,246,307,951,910,197,686,811,872,775,442,156,
462,242,816,787,701,817,371,308,076,619,346,497,582,336,759,056,999,367,221,
549,701,382,596,534,033,816,540,812,131,509,978,556,719,662,462,958,043,908,
903,472,102,458,279,352,476,876,221,388,793,749,042,137,603,306,878,484,058,
107,273,809,619,222,033,883,634,323,284,419,813,206,399,419,760,544,384,324,
951,710,956,627,817,722,354,566,696,809,593,835,291,639,192,024,681,301,044,
672,588,024,507,572,902,388,015,504,561,769,732,450,765,023,940,641,676,543,
685,175,302,369,270,928,230,135,082,884,945,181,228,913,924,343,850,213,680,
954,466,689,082,082,715,378,575,000,432,213,912,567,538,950,946,185,243,154,
430,232,930,108,768,814,327,779,068,082,223,215,257,015,578,527,508,903,289,
744,852,061,797,397,247,421,609,592,997,962,033,415,777,912,900,819,893,292,
312,079,114,179,425,276,343,894,785,559,107,764,692,948,888,141,332,051,383,
825,558,416,319,540,589,355,698,338,095,940,280,337,514,968,648,599,806,288,
986,131,450,034,754,774,267,194,393,406,796,389,650,589,622,149,601,495,781,
786,287,010,663,053,980,031,714,213,117,629,557,279,178,715,169,489,547,264,
802,266,889,471,746,613,647,464,124,189,426,775,975,759,689,488,230,652,149,
795,683,486,001,198,352,872,482,740,743,236,792,321,420,139,364,835,348,449,
321,817,880,624,724,114,718,203,358,093,353,576,035,248,220,237,080,514,176,
522,029,694,979,387,128,041,186,736,322,421,360,031,788,420,398,571,174,314,
293,398,046,164,614,999,907,734,745,144,587,579,946,041,608,246,139,411,774,
812,438,471,565,374,995,911,987,406,262,635,048,898,808,704,643,350,109,637,
956,244,953,878,123,403,730,156,044,996,623,474,593,494,009,046,845,809,741,
921,498,185,362,047,006,322,054,726,279,867,490,374,371,920,026,185,688,281,
185,194,600,864,800,575,459,266,203,094,920,515,867,136,524,819,051,246,992,
478,500,442,097,087,089,331,561,517,720,439,077,672,156,074,209,682,838,876,
727,549,767,031,841,606,888,143,887,004,019,528,531,678,391,772,307,641,867,
448,089,994,522,977,578,127,215,136,216,774,181,208,643,087,005,038,590,970,
085,599,055,296,782,884,877,634,445,208,606,414,348,847,691,655,860,248,208,
674,267,409,077,100,738,996,980,165,472,075,018,464,805,754,311,429,002,508,
016,085,414,807,758,420,043,991,836,213,965,247,822,594,044,566,764,609,032,
705,362,015,631,501,023,601,579,165,317,297,243,596,275,726,599,629,518,542,
104,759,172,759,071,709,962,770,497,618,945,306,369,251,255,447,387,850,674,
282,327,282,942,551,789,593,200,954,695,887,072,978,467,270,709,242,425,606,
053,103,468,941,013,116,762,258,595,623,133,917,735,737,828,119,191,998,869,
460,700,318,384,026,125,830,870,108,319,489,142,023,871,327,591,566,881,964,
663,866,487,273,988,992,712,035,684,245,722,904,962,520,611,712,498,621,168,
362,228,548,247,170,886,024,556,133,685,630,490,944,793,173,556,285,194,104,
703,401,851,072,255,123,295,216,814,034,306,711,738,529,819,824,798,026,672,
783,277,821,359,508,711,037,382,449,167,660,124,760,974,225,292,324,813,206,
963,187,454,345,772,807,494,078,539,541,196,363,101,743,161,756,571,977,885,
678,660,524,704,093,549,086,421,825,876,326,401,847,906,244,638,118,316,441,
526,858,056,761,538,235,604,474,227,368,200,727,336,778,707,528,233,544,432,
518,370,680,295,214,496,310,668,813,595,416,427,589,831,398,087,286,827,836,
700,359,195,535,039,700,866,799,261,175,928,610,283,110,333,274,761,960,665,
082,717,130,421,417,701,631,635,338,820,708,441,450,076,388,878,931,517,981,
707,180,348,177,056,611,841,574,146,093,005,530,090,464,533,574,096,278,177,
067,730,093,225,347,052,979,397,538,201,443,543,043,100,542,405,076,894,410,
913,324,536,267,678,560,187,738,130,833,061,121,138,339,621,624,701,094,839,
878,627,063,713,297,711,899,969,120,078,732,493,303,887,982,291,108,313,416,
908,013,792,591,930,542,259,912,192,239,552,848,744,630,043,700,174,603,747,
424,787,822,298,199,275,636,971,244,602,026,040,961,183,920,194,295,433,964,
169,338,222,159,157,355,880,128,332,377,516,397,136,098,284,028,020,170,329,
398,534,191,768,382,664,422,798,689,568,505,960,726,753,669,017,163,048,987,
648,042,662,398,491,737,630,175,700,673,682,852,167,498,529,418,370,810,781,
301,499,229,535,343,578,962,325,411,796,414,296,111,954,381,641,872,757,905,
331,634,659,449,154,086,090,444,680,856,497,172,764,655,556,166,978,362,780,
905,797,812,380,717,495,111,868,851,159,603,139,429,456,875,581,482,332,032,
484,522,569,874,650,088,381,188,958,223,490,112,710,470,158,107,511,131,188,
882,993,498,960,551,732,023,068,299,054,629,868,310,876,394,945,256,323,228,
234,557,314,452,967,035,651,034,706,286,000,512,789,255,319,229,308,914,690,
650,924,535,249,351,873,833,615,499,486,709,178,396,455,415,628,375,507,389,
939,587,128,764,397,396,224,956,798,637,311,843,967,285,352,279,847,407,866,
506,013,347,864,730,830,001,215,803,478,940,644,143,287,553,692,997,760,693,
166,742,156,988,960,415,043,332,618,238,422,941,128,567,233,471,625,005,873,
386,849,150,412,217,098,262,164,704,130,393,734,549,431,215,182,751,558,666,
992,538,705,578,590,653,995,192,805,339,288,128,160,703,562,189,859,373,181,
528,087,070,629,251,890,448,239,524,965,259,956,226,679,335,642,306,576,840,
765,883,898,880,839,543,035,378,593,128,371,442,342,205,543,498,598,819,336,
922,608,587,734,992,818,869,485,174,700,185,808,838,162,316,014,999,552,530,
996,255,435,536,197,540,708,875,947,047,631,423,183,926,486,243,019,822,901,
835,505,761,116,621,004,063,950,147,305,393,381,698,003,930,766,854,777,350,
911,302,919,352,808,465,196,537,595,995,726,603,088,181,642,652,478,366,772,
513,755,992,784,753,696,707,759,139,965,653,921,988,461,227,837,756,757,140,
081,709,650,816,223,418,879,982,107,218,522,317,710,838,000,121,583,768,155,
688,522,253,649,739,574,581,006,546,584,316,220,436,370,328,910,714,585,270,
182,878,215,084,506,569,305,832,249,878,488,883,309,576,743,082,846,398,723,
515,546,390,831,560,093,790,750,596,967,300,509,044,014,195,431,994,775,654,
376,346,721,525,026,941,928,621,335,383,106,435,693,753,560,678,927,684,136,
427,486,175,337,212,511,308,383,643,573,403,619,781,996,933,556,347,103,055,
179,585,843,646,394,730,897,567,059,636,930,765,122,993,874,795,276,927,392,
269,901,673,441,727,143,121,061,890,541,695,617,269,977,581,977,905,770,292,
966,299,628,336,868,234,883,903,200,526,567,972,804,022,019,049,620,764,692,
669,370,178,687,197,040,329,263,806,826,480,910,587,269,297,954,077,765,298,
244,973,326,397,377,709,410,358,108,577,850,112,621,391,768,199,727,816,805,
815,450,321,689,670,200,130,279,522,787,977,647,639,324,403,431,753,481,286,
629,506,982,515,276,084,986,843,828,372,869,043,996,538,368,512,944,581,990,
135,932,210,171,913,279,532,714,473,050,826,803,725,374,431,185,994,710,045,
673,924,146,159,423,250,975,938,343,330,930,667,560,757,193,396,133,548,169,
530,287,900,852,373,061,923,833,419,237,225,890,612,636,196,156,955,940,474,
468,265,421,999,729,639,515,636,061,173,925,113,411,923,472,161,176,891,589,
672,577,309,284,951,619,861,302,665,330,804,099,713,374,947,823,699,106,718,
703,639,757,080,008,391,927,938,286,522,403,751,743,058,177,472,248,923,447,
219,145,645,379,246,798,738,366,690,550,868,156,776,672,381,532,290,023,414,
595,577,348,316,951,555,586,268,777,308,505,575,258,688,994,586,939,237,190,
888,474,234,092,450,629,429,662,762,767,572,150,536,087,690,801,850,933,828,
577,643,929,640,679,104,081,560,340,850,329,021,987,035,997,488,929,419,930,
024,245,521,247,546,774,502,328,148,965,693,395,751,311,799,656,135,544,958,
939,428,010,614,862,098,126,913,115,184,409,080,577,667,864,786,027,099,056,
024,483,546,474,307,092,746,867,822,607,048,865,412,928,918,119,110,143,169,
725,593,035,718,286,103,880,820,488,960,483,504,204,092,200,822,993,980,581,
559,674,948,479,092,688,375,999,227,548,682,005,291,817,750,602,080,981,798,
373,928,041,403,608,328,545,768,740,436,539,080,550,458,785,536,467,911,004,
293,923,183,149,628,464,472,698,075,187,218,432,611,672,369,626,168,095,525,
540,672,873,453,524,871,682,750,870,590,524,123,221,822,899,990,863,418,445,
592,192,273,773,994,198,720,089,681,345,520,187,351,292,697,014,169,132,435,
866,660,312,041,420,101,764,733,860,453,967,383,723,215,759,911,280,478,982,
360,015,900,551,569,401,225,696,906,077,552,420,327,222,776,992,367,934,036,
731,293,401,788,238,591,307,372,020,889,635,530,293,684,098,295,942,753,737,
468,829,651,004,521,573,088,243,985,696,916,926,028,141,900,107,464,388,218,
141,847,241,931,457,064,702,410,245,024,196,276,834,566,843,944,353,481,931,
731,368,415,217,612,054,064,330,771,931,252,835,535,369,047,989,410,025,131,
178,631,385,841,174,033,360,023,945,938,783,729,445,144,726,649,569,448,789,
653,925,610,520,433,072,485,201,203,080,481,005,523,305,961,077,897,626,284,
741,084,069,874,839,432,680,927,587,644,738,172,065,853,142,660,059,545,644,
742,268,446,827,425,321,106,556,868,280,755,846,011,866,074,431,136,688,178,
329,569,205,983,909,263,003,539,357,238,320,691,565,077,322,467,744,627,340,
164,694,546,285,242,298,941,272,883,350,477,109,434,110,462,432,456,013,188,
061,899,198,528,904,327,067,645,190,817,468,789,700,813,769,261,379,558,990,
110,924,463,151,342,453,315,829,235,261,415,598,609,240,152,937,786,292,870,
075,720,748,957,036,021,895,958,725,216,565,840,173,962,826,107,051,705,848,
831,325,670,034,414,055,968,237,364,387,817,471,676,282,002,650,563,105,155,
598,501,951,856,080,707,580,217,724,756,624,086,714,630,501,807,568,910,302,
086,351,295,014,357,058,533,204,974,172,245,435,458,657,298,363,005,624,220,
359,726,680,778,612,097,406,750,669,026,506,512,182,404,178,799,843,820,395,
805,514,646,705,629,312,605,915,014,139,607,715,818,121,054,669,300,827,272,
742,826,758,403,988,957,507,837,919,705,691,666,234,126,895,285,173,555,484,
666,542,008,855,600,340,447,015,848,505,187,738,575,109,638,684,688,048,438,
477,212,765,593,349,959,617,739,447,927,475,127,138,248,205,579,505,384,629,
093,535,351,305,813,887,195,658,578,940,588,208,900,963,087,903,574,873,084,
319,824,294,620,034,717,288,530,613,521,065,946,529,361,382,628,174,383,625,
390,636,645,030,588,751,809,790,552,359,032,957,723,452,340,999,003,055,422,
932,793,187,962,624,989,297,107,885,617,396,764,851,310,801,348,468,195,053,
206,358,445,823,547,946,687,304,698,691,980,693,046,258,797,394,987,971,584,
627,832,650,079,253,349,189,416,906,939,340,761,865,629,118,856,551,977,810,
220,782,953,487,595,926,109,592,293,603,475,848,839,805,659,471,687,144,742,
171,156,200,155,850,278,621,533,373,711,304,557,765,269,353,887,693,631,827,
865,774,656,937,313,447,944,434,795,463,324,375,300,662,288,337,255,454,039,
195,812,919,766,861,414,210,600,596,637,370,354,649,611,568,959,789,349,820,
893,561,615,053,027,906,588,707,069,655,951,460,783,673,985,141,435,689,758,
822,690,145,300,830,696,532,781,004,737,675,159,735,176,083,056,891,793,455,
790,062,495,197,111,328,964,947,327,287,256,965,649,043,885,785,860,784,085,
182,867,976,535,055,986,752,972,172,936,113,241,504,540,605,192,568,010,575,
028,540,634,475,240,451,075,237,681,525,503,557,501,311,691,290,898,135,272,
051,261,214,124,837,184,556,605,559,629,651,945,398,999,073,340,132,478,628,
800,037,738,175,475,314,240,930,686,287,856,792,676,576,118,762,842,187,568,
475,068,981,996,612,953,222,677,243,073,777,683,885,797,050,211,622,094,189,
973,998,571,830,813,760,294,163,892,890,009,305,374,242,069,882,083,223,536,
278,052,261,631,073,656,411,341,924,217,794,809,363,152,296,780,791,478,934,
431,862,304,888,553,031,384,449,196,406,142,666,423,607,580,827,540,127,676,
286,082,599,601,683,117,762,975,079,203,622,801,539,349,875,950,006,076,987,
612,509,220,382,389,555,789,699,160,316,878,370,074,801,876,420,401,603,521,
493,897,262,787,544,537,279,884,042,253,316,913,580,113,944,855,888,394,975,
755,999,366,110,018,520,602,268,882,718,648,411,936,472,112,861,653,139,632,
218,424,193,977,183,504,949,900,935,201,742,256,029,381,556,949,049,856,702,
609,173,717,300,273,459,334,911,881,899,495,305,003,046,541,258,372,703,300,
138,198,589,954,581,010,735,951,145,005,247,830,207,554,392,022,590,419,112,
831,866,817,203,905,507,506,904,180,769,376,572,340,116,901,421,944,447,296,
879,354,564,613,590,985,619,195,459,818,704,151,627,833,425,533,437,789,012,
176,455,354,514,053,490,962,326,084,898,072,253,423,001,309,057,327,482,193,
826,959,784,990,241,596,219,399,216,272,647,900,038,589,279,942,834,665,105,
718,785,616,760,999,579,200,374,887,187,977,237,741,984,527,177,882,140,784,
842,348,203,193,680,175,391,216,212,677,258,795,367,281,959,247,426,567,812,
572,149,166,871,166,659,464,148,800,730,568,178,452,567,758,692,813,809,938,
085,603,457,973,994,828,937,711,605,401,475,304,408,769,858,584,098,229,307,
464,815,259,928,569,540,067,190,404,266,553,279,339,440,897,729,554,245,937,
403,892,320,670,645,745,322,906,421,388,986,852,791,936,289,907,341,943,705,
087,458,950,735,588,430,652,271,502,611,853,445,552,791,638,944,772,519,764,
190,170,344,866,520,375,255,435,650,768,528,896,244,690,055,538,400,696,504,
163,306,185,622,806,244,880,902,760,925,544,038,157,951,587,748,166,344,757,
122,192,312,036,675,757,070,344,169,921,855,665,514,832,351,224,305,500,906,
926,553,714,414,761,482,225,644,919,000,486,989,035,716,810,551,233,123,460,
285,795,581,840,234,122,119,915,600,981,481,861,225,143,359,423,075,760,542,
553,240,831,215,635,420,249,294,215,310,321,259,620,897,273,596,864,196,260,
832,699,239,003,532,581,183,924,325,907,705,138,388,460,281,977,793,432,816,
495,282,118,424,891,562,293,323,996,425,387,827,217,070,230,419,355,232,332,
297,876,786,762,937,788,843,765,203,283,091,120,928,055,732,009,408,980,643,
800,901,538,110,611,226,748,359,503,859,831,751,371,392,329,092,671,065,982,
601,508,003,561,366,546,171,840,503,022,302,242,151,949,408,087,528,517,593,
292,837,751,302,581,282,018,407,759,515,049,251,369,693,606,060,214,632,027,
553,444,932,480,916,042,704,673,205,852,585,048,401,258,839,571,289,974,707,
381,614,283,853,585,095,668,192,182,202,973,054,000,050,402,756,728,520,864,
406,114,136,899,579,515,162,486,693,450,721,370,862,387,117,865,443,400,365,
107,989,052,609,264,288,679,430,793,450,942,354,764,917,259,768,348,993,899,
580,527,172,491,887,117,000,958,448,713,499,543,903,635,693,216,121,648,259,
622,689,572,398,811,234,980,810,258,989,986,897,836,549,858,796,111,481,413,
935,188,232,368,324,407,848,661,770,567,231,709,936,166,156,258,810,286,123,
847,635,529,391,244,648,537,603,953,017,829,335,575,271,942,778,731,496,124,
202,191,823,977,950,196,177,856,053,547,630,352,809,641,915,742,839,769,932,
995,036,455,917,693,274,572,489,290,796,322,987,250,762,730,759,070,476,061,
909,697,899,448,756,269,277,725,469,848,209,455,281,598,405,316,558,779,774,
793,896,054,024,958,250,166,318,541,151,765,693,776,472,140,082,063,055,572,
525,915,774,138,082,899,674,744,401,276,489,621,632,069,657,109,892,835,103,
721,533,634,703,964,447,189,882,916,264,930,278,307,031,499,334,172,415,795,
324,206,367,227,691,840,880,095,764,151,380,519,805,474,263,686,830,707,237,
369,367,704,874,564,599,920,387,320,455,448,490,678,801,118,634,665,491,677,
661,611,027,838,263,701,801,225,824,592,819,957,807,781,578,706,992,566,101,
594,628,652,313,096,862,464,971,014,821,363,058,895,214,503,065,269,130,888,
124,575,174,230,914,052,413,231,243,237,468,302,125,325,443,428,742,906,369,
902,093,492,374,951,583,898,927,158,129,197,040,340,554,449,894,339,869,584,
512,034,885,590,787,849,792,263,794,787,345,538,485,452,518,120,100,613,919,
202,038,201,050,914,996,606,194,413,880,976,702,536,358,341,150,888,753,273,
294,483,474,437,918,275,847,453,386,107,873,333,869,782,589,023,362,895,628,
491,259,877,033,347,849,958,918,609,572,437,200,158,359,765,657,552,949,843,
265,518,630,679,459,904,773,958,230,845,164,951,514,444,661,868,094,225,928,
826,517,084,326,283,888,096,203,973,567,665,620,234,980,556,374,118,117,173,
627,742,556,282,782,751,724,517,104,455,797,428,708,481,878,829,786,979,817,
615,129,260,323,277,665,097,939,604,773,642,389,446,101,161,350,708,241,000,
213,699,730,841,638,275,622,439,613,349,298,798,215,250,510,757,038,869,315,
331,658,077,847,735,430,432,937,982,422,300,496,261,155,190,659,069,139,077,
333,426,890,661,849,450,965,072,556,210,954,873,368,595,630,817,840,776,572,
347,726,073,459,230,710,028,984,956,103,307,206,298,446,624,238,662,707,421,
623,676,145,798,728,391,435,762,910,760,082,095,107,702,166,601,564,031,554,
760,140,477,885,139,513,184,195,757,216,081,788,220,667,467,225,636,928,517,
355,098,654,045,103,126,770,716,162,830,653,418,547,007,199,704,083,286,112,
701,216,741,185,055,447,328,076,203,517,876,880,669,070,280,547,405,861,320,
913,002,997,209,528,846,893,211,055,626,442,738,626,312,895,321,354,601,930,
042,206,411,338,648,611,349,426,788,487,615,762,700,386,581,743,373,493,349,
328,516,984,552,124,551,134,871,157,241,310,587,968,148,054,214,512,605,386,
881,266,381,223,478,161,709,925,690,184,014,492,789,580,336,600,264,595,954,
372,747,335,767,704,871,330,860,723,243,432,389,219,477,974,171,107,098,929,
750,386,674,981,123,341,997,983,344,309,129,604,778,651,045,224,954,444,564,
673,509,310,857,355,934,406,002,777,257,560,720,560,815,851,766,906,403,353,
672,383,423,827,671,749,633,111,591,601,502,302,524,574,869,532,076,570,404,
907,852,477,727,054,791,498,896,401,590,542,159,051,412,514,714,530,147,386,
888,172,292,125,134,570,858,694,899,243,088,552,374,387,457,260,009,564,174,
471,866,497,529,423,129,593,132,183,537,348,263,085,524,545,027,528,770,042,
641,192,586,040,804,496,730,931,643,362,777,005,263,877,375,453,208,013,535,
194,789,937,255,411,397,948,595,879,407,569,708,692,908,933,130,477,813,454,
323,163,141,131,349,907,811,169,267,078,509,925,099,766,345,682,251,154,409,
779,369,576,593,289,220,843,859,098,515,769,319,083,779,329,812,203,350,573,
203,176,685,064,382,450,696,936,157,543,512,810,480,111,076,305,714,589,523,
268,293,604,909,578,610,237,833,347,293,395,511,673,507,467,438,680,262,394,
931,490,156,462,785,797,816,195,358,501,623,487,540,461,726,969,532,201,387,
220,785,108,305,062,515,572,711,621,951,669,828,446,962,437,720,703,248,546,
902,109,496,347,974,961,781,980,847,269,554,798,482,730,865,159,720,610,303,
168,088,694,576,480,173,415,193,821,943,816,286,904,239,208,246,147,786,473,
362,799,864,447,480,910,739,841,785,648,013,277,418,343,500,437,108,185,229,
321,038,653,091,536,268,237,842,542,862,249,368,548,859,552,551,339,390,760,
694,125,176,949,024,624,543,410,160,947,783,748,012,348,752,964,021,366,328,
456,173,621,735,929,884,646,777,747,110,527,183,220,396,205,670,976,050,971,
087,262,267,370,580,969,407,190,334,725,421,955,258,112,264,557,441,337,215,
827,109,568,922,039,234,684,437,932,976,896,929,850,305,156,458,805,118,444,
321,585,563,793,362,809,587,547,006,076,050,662,910,029,728,234,065,792,848,
645,407,840,226,233,937,770,051,977,854,939,669,036,611,581,232,691,562,713,
004,411,188,746,549,746,912,297,979,863,714,684,967,715,359,131,362,395,560,
182,398,153,843,371,975,488,464,996,399,633,064,415,625,317,961,913,120,517,
116,817,586,262,671,041,270,016,815,803,959,157,647,374,062,925,262,870,839,
699,869,223,111,763,181,761,779,546,712,127,284,225,628,761,798,722,269,847,
601,456,367,088,149,272,842,205,025,897,826,707,807,152,317,525,780,023,838,
992,037,327,980,248,110,661,241,904,321,567,991,623,383,037,312,512,451,160,
555,864,804,756,158,182,673,755,553,684,494,052,734,367,181,658,269,817,476,
835,420,277,459,674,469,230,570,201,337,136,712,876,960,526,459,044,416,022,
371,243,863,007,531,634,539,724,969,228,315,624,737,839,226,006,870,998,468,
960,680,510,151,500,371,683,810,752,814,369,621,473,545,005,382,285,577,099,
652,371,405,233,552,589,001,084,369,722,017,684,588,942,233,063,453,022,075,
108,366,855,647,836,631,607,258,386,298,472,721,462,790,928,807,673,478,785,
515,325,983,521,540,152,648,039,041,204,326,908,119,616,370,385,814,118,388,
137,030,601,309,064,725,150,195,720,419,558,713,120,601,314,639,141,351,188,
619,758,768,179,508,116,281,402,390,688,586,350,600,717,463,866,698,958,115,
835,669,227,848,307,716,746,833,101,557,492,818,969,323,749,434,034,355,582,
826,093,585,451,518,845,277,407,388,669,071,019,349,119,535,041,639,164,874,
332,349,804,979,619,322,745,456,589,360,062,399,552,904,459,767,066,265,573,
252,831,650,781,307,049,149,053,161,937,069,836,898,912,218,963,967,740,902,
822,482,176,122,129,255,334,305,957,908,510,650,056,074,600,451,266,837,983,
873,589,809,182,202,291,218,622,907,454,638,793,932,685,760,673,779,316,520,
358,517,530,178,241,818,119,602,024,085,924,076,469,049,664,293,392,748,716,
574,105,852,055,604,480,600,525,795,927,442,060,837,691,624,395,101,565,918,
226,228,734,899,542,685,686,455,509,070,505,159,263,343,200,081,667,608,576,
781,888,413,133,699,099,637,562,363,857,073,113,060,333,935,731,027,825,854,
929,148,014,228,362,768,311,349,387,954,887,069,867,573,944,063,513,257,383,
148,311,060,328,726,285,591,328,690,283,663,755,426,869,682,473,579,699,246,
534,191,036,149,551,270,680,726,424,375,573,027,257,505,298,032,022,201,558,
835,826,443,713,946,453,500,768,064,280,076,621,060,560,339,285,040,252,666,
131,765,319,721,781,978,148,082,688,447,652,266,221,763,098,914,252,370,664,
701,275,489,265,655,805,350,804,244,882,385,767,957,394,070,226,268,811,287,
735,102,517,963,247,516,961,310,951,648,169,590,265,536,839,267,549,655,057,
155,020,019,660,038,255,917,815,159,886,774,263,362,181,750,719,978,072,331,
521,345,453,442,062,831,926,552,626,067,310,914,764,004,344,288,910,245,110,
510,992,202,615,073,821,580,453,512,429,539,821,737,219,185,904,644,302,618,
056,429,566,338,510,514,534,928,995,776,220,606,010,241,487,357,332,700,488,
102,686,338,952,393,825,523,623,125,200,125,682,801,682,178,936,217,261,220,
997,447,844,065,730,088,718,313,409,551,053,329,130,993,355,258,218,359,182,
751,247,035,475,673,657,553,231,754,285,915,036,827,265,937,019,414,748,929,
668,607,737,128,221,158,325,295,401,212,117,836,128,646,182,013,378,172,727,
342,695,440,504,184,458,932,899,216,307,388,164,384,431,420,538,335,040,599,
823,313,209,317,336,244,398,035,025,896,587,772,159,829,724,292,292,316,160,
800,032,614,968,570,424,769,632,929,355,854,254,892,705,265,658,635,215,223,
119,524,680,995,587,032,569,069,940,096,140,521,012,783,654,465,557,874,701,
595,046,329,053,332,562,320,547,255,993,271,828,239,048,900,741,266,173,069,
042,377,290,733,365,719,010,760,884,947,688,843,356,072,745,842,195,226,810,
941,271,964,571,950,358,218,727,621,817,671,741,731,332,261,752,854,523,424,
714,752,574,871,737,056,250,270,623,365,024,615,480,339,435,554,475,945,547,
056,120,769,821,467,721,413,277,742,226,437,482,190,508,002,892,316,419,147,
033,853,824,608,040,563,232,392,744,229,909,501,588,251,560,834,018,477,316,
505,982,528,049,722,903,855,345,838,967,848,378,663,286,207,104,234,940,694,
895,925,968,628,757,486,451,126,990,660,910,490,684,280,893,295,664,043,931,
826,799,840,415,171,796,748,389,824,872,357,791,388,842,663,041,546,186,041,
035,241,461,065,883,538,991,896,920,878,087,128,370,533,762,939,821,489,439,
798,332,596,232,645,652,890,721,599,403,943,655,190,777,967,755,994,746,296,
330,323,874,897,820,937,355,295,315,966,858,548,604,272,986,891,722,108,361,
375,099,497,643,365,867,881,287,880,887,806,233,962,888,987,993,920,721,012,
866,302,826,573,908,293,403,275,821,661,609,940,802,710,406,121,716,684,650,
096,001,710,358,388,754,627,760,876,949,603,465,876,333,052,359,100,188,380,
760,487,668,607,276,524,129,737,674,669,763,884,907,491,987,473,879,440,393,
444,875,584,966,356,887,823,182,886,308,984,961,394,381,527,293,806,051,614,
722,157,029,426,427,306,630,589,189,010,312,983,849,554,523,712,511,194,572,
239,965,384,451,136,547,466,582,656,112,279,138,665,902,329,943,113,532,027,
663,281,857,705,350,630,373,894,850,848,732,662,986,994,203,499,885,440,612,
418,041,709,547,157,886,940,176,656,454,080,545,268,797,398,078,936,120,222,
014,396,743,025,486,368,560,343,301,079,642,639,454,256,170,390,299,152,439,
128,713,432,399,404,613,968,701,116,689,977,304,379,530,575,978,288,125,437,
651,139,066,758,379,169,022,945,804,882,296,225,624,532,422,205,455,455,446,
205,556,722,667,404,136,188,495,865,475,884,580,490,855,150,378,178,840,780,
636,070,837,960,654,233,556,894,787,933,368,439,208,759,174,295,464,546,785,
717,517,791,836,734,689,371,375,654,917,251,978,669,272,988,998,335,662,994,
217,502,523,847,257,039,328,988,095,290,484,479,457,130,811,688,574,853,732,
824,056,358,165,302,677,202,263,094,392,254,273,568,219,207,999,432,119,379,
067,820,065,399,926,776,731,124,221,921,179,360,061,696,668,651,929,006,758,
489,097,799,186,223,826,943,543,012,223,407,432,955,416,205,174,467,205,614,
523,129,102,035,625,930,796,869,443,355,091,862,729,002,628,806,296,889,556,
746,069,253,643,320,202,944,299,387,031,206,392,456,023,818,759,864,752,117,
299,057,928,907,343,224,574,423,882,379,457,117,696,105,135,682,301,578,097,
887,160,008,209,037,451,587,842,713,729,340,390,251,359,222,626,461,246,629,
262,859,074,059,215,466,900,997,786,204,037,701,173,228,983,673,296,164,629,
607,342,650,202,009,894,806,432,074,984,328,129,279,864,956,223,123,322,444,
992,983,644,258,920,681,943,585,838,627,004,888,474,574,963,203,628,337,778,
809,486,796,823,224,202,631,860,179,420,466,151,690,302,864,193,082,208,768,
667,923,706,581,306,657,131,533,119,697,479,161,876,898,970,100,281,246,148,
946,788,749,941,740,202,517,123,319,274,459,459,485,079,739,383,846,650,314,
062,840,731,406,915,130,849,950,237,375,944,783,757,129,304,152,021,632,878,
039,455,717,609,407,519,752,369,276,665,330,142,204,585,495,733,758,711,756,
835,976,516,302,251,070,879,910,601,584,572,182,485,790,050,562,725,499,507,
510,788,673,931,703,559,137,484,313,682,242,589,412,422,572,320,591,234,475,
989,582,200,110,122,247,187,581,504,221,630,266,034,530,172,740,282,114,604,
629,820,656,890,030,660,578,861,141,355,509,676,223,416,847,289,014,289,906,
726,834,488,783,684,785,036,898,643,690,805,900,966,246,682,838,232,326,637,
291,031,307,961,958,917,521,000,434,194,324,866,237,145,759,448,470,251,280,
846,438,366,109,104,243,354,711,886,387,753,837,960,668,247,120,847,136,042,
902,380,282,647,647,300,729,273,656,811,850,513,658,642,555,618,332,183,449,
900,344,021,563,452,617,964,592,958,768,350,653,874,296,256,226,772,415,680,
619,833,836,889,125,064,823,019,422,601,008,508,168,495,538,453,776,977,321,
883,305,991,019,755,748,988,121,714,697,901,222,717,092,698,055,570,389,826,
692,066,576,200,766,816,156,724,005,252,341,756,207,900,899,894,883,504,844,
216,289,129,759,810,668,897,979,894,515,773,548,888,182,445,925,378,994,130,
972,836,194,666,338,527,089,269,329,043,499,262,446,599,879,562,155,751,764,
373,265,116,873,766,657,083,305,325,187,343,705,518,759,418,024,306,921,053,
979,302,645,405,481,330,174,749,925,740,170,484,149,910,902,883,593,935,138,
617,752,345,334,856,971,124,616,187,665,166,023,420,983,854,127,883,994,166,
126,904,749,583,799,207,776,004,186,539,036,322,328,047,868,016,837,142,490,
682,868,538,660,670,699,815,195,800,955,121,537,305,931,764,525,562,545,192,
936,268,274,702,479,545,858,015,707,994,067,361,023,941,756,480,960,386,433,
502,855,123,076,159,309,879,214,561,655,960,818,327,885,745,362,191,588,582,
777,758,130,241,035,614,877,396,809,403,422,337,811,695,430,075,843,085,967,
685,274,123,169,302,454,713,990,944,574,500,730,073,265,655,734,269,852,139,
886,921,240,030,459,729,267,885,921,877,108,766,520,287,580,782,149,101,079,
154,417,641,863,714,848,681,723,506,520,952,564,410,949,410,131,198,181,308,
843,960,229,462,009,269,646,116,912,451,631,576,765,156,967,995,777,613,236,
058,805,471,221,941,580,606,119,089,250,705,322,370,150,476,709,834,167,667,
916,712,853,205,918,517,679,932,321,400,965,704,195,342,991,810,339,029,949,
073,020,810,124,478,468,007,985,300,027,021,774,742,695,671,628,732,302,508,
234,821,886,884,261,006,858,636,482,062,064,617,868,097,062,710,028,234,500,
070,686,281,302,757,455,915,461,794,554,456,621,083,081,146,656,198,711,671,
616,790,186,203,378,181,836,473,410,917,818,500,691,647,151,384,556,875,068,
391,552,951,815,677,399,323,300,697,813,262,989,565,478,768,448,739,466,394,
882,910,669,300,976,779,885,217,315,181,541,464,743,636,104,222,845,278,624,
255,723,518,236,494,212,506,931,325,687,814,669,666,081,083,027,845,340,515,
299,654,473,860,131,380,238,254,400,050,694,182,185,867,875,132,840,020,388,
669,048,644,790,257,319,370,863,772,176,259,551,769,651,069,844,678,579,799,
805,595,482,999,754,435,677,169,613,360,274,440,920,794,914,306,266,700,788,
187,007,408,955,820,622,580,141,115,750,654,286,634,054,948,226,212,020,273,
696,122,787,627,324,842,803,329,895,357,498,978,175,254,799,910,506,462,194,
241,290,333,628,248,175,134,025,556,450,144,706,918,590,105,945,499,936,883,
222,183,345,009,753,596,392,541,786,189,984,892,577,945,157,795,639,438,165,
570,256,803,903,688,535,992,483,944,543,046,081,806,995,034,690,893,378,846,
415,301,386,629,934,676,650,127,841,029,061,744,417,973,085,286,170,213,030,
176,548,544,143,062,912,332,743,735,575,195,765,876,191,427,279,140,648,120,
783,258,095,289,438,685,689,710,846,956,118,054,737,438,342,264,814,890,971,
078,282,622,328,491,524,485,786,809,890,361,009,309,187,828,967,181,388,912,
027,561,737,722,622,718,662,821,463,490,902,044,626,992,017,282,388,811,267,
310,403,150,548,699,193,157,683,958,207,557,668,931,860,525,524,108,394,293,
122,854,113,212,364,420,888,730,959,346,262,133,273,848,312,185,712,236,958,
217,718,673,754,840,898,126,062,666,485,540,647,102,100,659,655,432,385,380,
906,708,341,003,578,543,035,387,581,540,187,487,961,627,554,022,707,028,813,
187,906,678,192,589,618,546,840,196,001,992,045,776,079,005,379,337,020,431,
186,784,104,898,467,382,351,953,964,236,377,203,467,923,394,819,930,670,253,
358,063,241,586,880,001,936,592,245,620,225,206,276,129,500,103,412,469,789,
536,993,969,802,744,669,592,631,691,863,956,586,688,067,805,714,302,968,444,
534,928,451,672,181,824,520,590,906,800,854,604,241,798,091,479,716,804,599,
097,952,430,236,579,036,858,418,819,915,704,523,067,175,512,373,296,313,902,
116,492,058,077,959,166,269,448,718,705,761,637,059,296,904,443,775,111,604,
890,188,031,213,850,387,073,947,112,228,450,736,271,226,262,328,266,797,313,
147,682,523,794,281,454,768,024,458,074,944,801,764,304,645,995,487,233,375,
189,182,307,371,409,765,693,427,069,620,037,672,288,688,541,766,965,570,355,
855,828,847,106,832,014,615,266,458,980,116,192,382,220,852,107,382,376,823,
302,763,822,912,691,627,941,617,516,118,464,378,145,888,221,373,416,984,228,
026,765,680,846,373,117,884,544,991,131,251,626,325,430,403,375,645,647,624,
019,915,950,409,966,284,624,579,793,054,938,867,956,265,319,832,469,581,591,
597,074,587,913,232,738,018,012,266,039,837,026,159,237,287,851,679,666,927,
418,912,387,213,921,438,851,375,740,098,473,058,477,507,505,882,695,813,116,
567,036,988,545,083,028,010,528,046,783,525,654,423,400,216,486,457,455,336,
028,028,397,987,377,529,976,897,896,959,411,262,308,867,734,461,849,115,611,
135,234,255,403,252,668,585,053,942,983,517,021,014,041,058,498,158,865,211,
987,209,074,806,982,968,200,924,588,295,356,005,266,878,995,628,460,770,481,
163,969,010,069,187,987,214,907,409,720,019,958,947,809,032,396,497,811,107,
907,554,720,443,639,208,413,243,678,193,445,240,532,289,546,217,869,217,258,
534,869,219,676,299,624,237,305,253,315,672,923,727,254,938,389,708,932,050,
375,345,787,061,591,715,998,148,537,745,972,647,719,891,130,752,417,797,288,
172,874,275,727,395,664,937,720,929,105,903,721,202,553,557,616,139,000,960,
261,747,673,359,360,903,890,931,567,000,792,351,076,283,990,110,805,365,417,
078,183,577,386,361,015,910,740,380,097,212,565,362,332,661,204,106,600,407,
033,933,636,923,635,494,952,557,935,930,913,387,961,460,079,031,170,183,570,
232,463,027,872,829,416,505,648,449,787,694,242,901,392,045,880,977,415,296,
966,163,440,115,477,816,484,012,545,304,262,879,487,841,375,587,323,521,181,
290,066,369,228,712,601,646,502,713,169,966,158,353,883,857,566,569,036,142,
661,665,725,013,746,633,791,599,440,872,441,669,854,090,133,563,064,424,534,
831,982,205,739,657,199,588,045,383,484,962,509,371,200,120,826,181,326,197,
572,935,377,962,911,969,721,713,668,269,868,520,614,090,512,811,279,132,278,
287,624,491,434,511,382,818,756,920,154,348,099,789,278,162,546,782,502,703,
465,204,930,858,744,667,769,297,877,362,408,904,536,246,288,346,673,273,229,
287,013,170,295,668,843,281,320,798,644,081,832,693,268,392,585,480,464,284,
741,341,115,930,099,647,412,139,420,863,245,380,620,454,941,958,322,840,270,
533,032,573,834,514,745,032,012,690,723,238,310,221,970,798,667,413,493,429,
399,946,205,697,170,154,095,650,688,694,977,465,308,460,268,855,021,688,492,
440,916,085,564,500,374,389,121,608,175,852,900,477,901,083,686,021,163,139,
719,460,798,837,883,179,728,740,193,910,400,088,542,410,679,789,772,002,936,
664,459,435,114,042,898,283,346,830,290,853,245,148,152,118,662,383,241,490,
367,042,836,224,386,465,272,351,668,872,058,115,304,067,082,972,794,174,264,
840,109,912,199,102,841,613,724,684,927,121,794,028,260,965,475,067,989,573,
652,039,585,949,665,838,243,280,682,941,073,498,052,471,395,171,040,663,137,
497,772,408,934,684,746,653,006,922,087,298,491,103,919,586,268,115,918,965,
971,775,269,561,848,145,146,808,091,102,949,077,986,581,186,571,937,066,664,
386,052,862,894,192,959,682,510,868,124,042,305,845,064,913,922,997,331,205,
287,222,331,246,233,752,544,235,283,500,569,864,810,412,783,738,373,798,555,
554,427,476,860,409,742,252,137,380,365,944,750,845,647,232,591,969,025,671,
122,428,106,056,273,268,942,366,331,944,472,318,432,473,225,052,153,968,561,
050,487,434,205,599,890,310,091,312,611,828,501,385,489,419,653,221,571,236,
659,522,250,039,628,984,921,454,099,432,407,829,506,744,997,469,807,062,609,
326,870,239,692,073,335,532,104,636,699,947,658,330,375,438,730,004,652,332,
002,098,122,227,566,198,206,801,948,853,016,223,623,615,994,067,627,496,242,
532,863,961,616,945,458,429,456,019,965,807,513,148,309,469,769,318,944,078,
245,004,901,644,829,182,098,054,033,970,666,847,308,134,696,537,616,271,485,
383,292,779,472,209,017,088,348,728,574,633,074,929,709,482,457,472,180,237,
376,846,223,579,032,289,561,319,887,320,787,324,505,788,711,937,873,437,743,
489,725,748,369,402,383,610,444,771,643,092,099,843,232,048,743,920,312,910,
616,618,118,628,497,555,658,081,676,172,291,959,187,725,168,554,140,410,884,
898,173,152,201,958,581,367,026,049,485,106,556,593,653,643,335,544,454,604,
787,530,262,396,841,518,830,737,171,065,138,706,226,500,119,070,139,230,386,
128,027,022,619,981,061,048,486,649,316,129,859,607,271,866,712,113,421,059,
457,940,797,154,752,280,921,997,838,679,377,977,722,922,097,279,236,726,096,
996,925,602,586,364,652,963,689,200,349,960,895,281,400,691,113,951,234,004,
312,070,941,768,263,423,324,288,703,302,293,718,623,643,248,221,312,469,824,
618,630,010,473,226,462,829,420,585,647,267,057,812,500,722,385,051,520,276,
106,456,121,194,644,774,659,344,518,305,006,987,708,778,462,414,620,426,629,
019,514,575,552,200,390,519,803,479,603,980,696,371,798,917,449,477,670,828,
307,761,490,142,026,528,167,915,017,833,177,850,746,832,004,987,856,167,860,
082,619,728,312,630,996,369,901,877,687,910,312,302,359,917,694,422,307,993,
873,759,890,832,922,263,938,953,313,737,761,455,899,398,452,746,206,075,596,
069,836,614,949,272,760,923,563,456,136,048,343,103,976,379,648,687,164,757,
864,869,057,496,994,517,727,703,282,235,904,510,494,773,137,456,698,602,063,
324,161,391,756,507,973,560,797,763,527,212,479,581,619,860,006,517,750,453,
465,288,495,876,707,864,116,739,769,780,540,933,194,193,433,060,878,929,642,
768,462,314,232,102,442,809,150,410,364,047,786,919,957,241,180,100,486,973,
937,954,367,666,886,608,990,091,782,576,366,147,116,814,138,411,814,956,588,
358,156,891,853,941,233,081,365,378,237,539,129,254,750,032,960,771,095,418,
297,559,452,719,177,799,182,742,486,056,350,530,367,290,028,788,625,785,735,
941,732,512,969,720,977,239,720,653,220,255,553,234,043,052,865,174,719,405,
853,603,604,507,277,010,877,110,335,410,753,053,918,231,710,752,423,280,954,
725,644,887,193,030,241,812,112,228,212,012,146,183,786,129,304,165,205,596,
538,043,254,144,430,072,569,268,379,258,953,891,525,819,305,339,671,042,691,
829,814,407,306,806,996,775,866,314,198,440,050,899,646,329,396,190,686,240,
098,713,709,758,785,987,830,859,579,783,520,763,427,483,378,507,780,959,309,
984,873,188,367,853,963,593,793,609,605,711,337,998,820,036,688,739,009,682,
987,830,800,964,246,046,202,158,391,958,181,370,087,502,742,991,367,413,254,
284,200,301,699,826,041,131,797,935,271,775,820,027,482,984,632,621,012,399,
364,867,205,987,668,207,654,761,504,520,349,494,485,129,527,436,853,578,725,
312,894,532,702,763,987,815,011,240,526,544,721,105,742,566,838,237,733,488,
481,538,964,418,171,856,316,178,132,626,067,730,993,430,221,589,375,889,503,
508,280,299,041,385,485,513,271,779,267,791,699,618,297,550,723,721,845,896,
445,435,566,696,041,117,584,558,302,249,613,653,247,160,695,561,648,990,300,
056,830,262,782,979,883,442,904,762,347,660,174,277,729,015,294,978,533,214,
658,527,910,625,425,536,654,104,842,802,607,250,100,344,442,319,259,652,682,
485,084,687,101,453,503,646,381,443,121,397,005,741,944,379,792,025,476,522,
755,980,383,997,416,504,754,445,823,681,929,506,609,483,288,676,162,460,278,
709,357,912,735,073,337,736,443,322,687,083,877,779,439,016,300,695,262,702,
800,692,540,859,072,009,948,317,812,497,596,264,953,152,286,913,709,186,765,
688,056,835,067,079,179,009,171,941,730,647,867,174,809,039,615,912,799,268,
987,120,341,782,578,267,408,478,414,763,022,484,026,113,279,938,096,755,693,
651,568,976,409,311,459,620,515,328,165,970,775,221,201,774,339,300,419,048,
372,974,276,164,685,661,921,741,388,882,168,292,971,628,495,947,264,568,536,
246,929,423,489,133,689,810,136,004,115,699,805,977,379,842,373,342,983,876,
691,251,382,111,964,869,126,371,303,398,949,002,540,205,155,113,188,682,201,
498,851,547,102,535,629,677,155,608,578,883,625,475,562,771,115,017,539,050,
161,009,359,341,966,356,978,331,732,292,087,975,389,662,893,950,153,622,518,
597,846,220,446,734,854,797,287,873,196,425,133,066,222,938,019,381,117,927,
834,097,231,235,222,379,971,648,516,455,240,275,136,653,736,800,900,596,395,
138,227,615,230,955,417,338,609,440,573,126,034,307,464,821,937,448,255,308,
032,074,027,933,464,592,988,078,692,113,356,132,321,209,805,211,403,733,965,
645,204,125,511,736,338,422,524,205,782,336,768,490,578,214,665,845,039,985,
532,453,934,932,943,939,340,614,384,868,437,408,896,465,346,129,379,181,608,
007,375,786,716,622,521,421,676,615,274,564,229,408,244,066,875,396,468,219,
681,222,260,450,019,294,460,373,210,625,723,613,939,724,115,382,197,689,831,
758,064,456,006,114,802,220,200,429,391,857,425,570,049,402,058,059,472,273,
437,665,096,291,671,315,038,924,801,246,704,693,622,835,778,847,133,690,009,
586,767,016,091,500,048,660,277,389,778,432,893,469,093,295,228,942,865,461,
398,932,705,733,582,264,829,449,971,381,804,417,976,038,635,594,322,735,730,
317,494,705,485,259,090,931,683,154,759,204,752,504,753,046,324,033,545,653,
358,910,914,934,898,535,489,359,976,724,808,802,109,236,893,328,101,678,056,
255,678,023,774,220,830,814,558,510,427,175,899,171,593,904,280,346,722,284,
276,688,162,781,021,203,238,505,958,591,685,846,171,497,371,559,261,125,047,
465,215,791,027,121,082,396,312,295,541,391,054,126,881,952,944,571,789,763,
256,740,020,898,081,902,368,002,608,592,124,333,163,392,748,396,467,087,190,
473,224,339,417,141,272,914,784,039,489,981,126,853,531,945,391,258,181,470,
577,825,868,021,934,376,323,295,011,796,009,798,514,924,330,027,304,312,657,
336,791,692,770,619,475,192,518,799,571,869,774,866,980,487,772,606,432,740,
521,246,995,120,656,495,578,485,545,964,634,511,677,359,753,412,910,398,290,
408,434,393,841,192,753,485,660,776,382,008,366,737,818,863,204,542,358,625,
625,330,338,317,580,229,776,902,429,872,442,960,894,123,855,568,798,853,274,
331,859,971,406,275,299,212,993,199,709,476,753,758,928,837,203,895,850,577,
674,921,309,457,052,519,941,668,890,193,143,258,137,168,311,672,334,899,573,
701,082,035,265,418,973,018,527,232,978,567,141,817,563,486,597,530,256,617,
315,572,645,157,612,256,856,557,117,126,884,751,039,463,059,208,667,092,128,
672,766,996,611,931,749,426,656,483,946,566,841,705,999,412,835,700,981,612,
597,992,224,556,651,597,742,038,813,614,410,894,136,021,914,543,545,122,825,
636,304,964,942,028,280,264,143,185,994,248,189,558,652,947,889,967,008,307,
789,496,375,180,160,889,469,889,096,504,029,158,237,155,112,684,622,981,644,
425,573,124,821,301,595,767,640,453,159,503,565,948,418,974,682,171,121,195,
650,860,403,068,854,602,332,009,403,950,605,465,727,131,656,893,668,163,621,
218,054,225,653,388,406,800,947,440,266,334,814,632,817,986,689,460,346,088,
807,114,373,689,508,795,700,939,804,564,117,923,637,737,832,316,831,051,930,
271,137,564,735,591,443,083,291,253,319,690,675,462,806,286,690,644,132,460,
111,044,121,000,137,082,489,545,766,837,992,118,222,465,097,198,282,047,590,
203,710,567,864,799,533,877,367,674,556,806,818,641,096,701,124,701,286,204,
236,260,327,090,694,338,104,068,045,600,468,180,134,505,302,334,049,406,898,
369,876,289,993,246,475,955,628,359,691,501,746,757,937,570,143,177,343,916,
938,820,906,970,356,221,329,817,940,534,727,470,402,310,845,198,156,299,715,
322,550,714,816,239,858,288,038,078,487,307,612,026,411,224,474,200,729,679,
674,332,496,259,196,155,286,685,985,689,413,461,369,935,490,295,597,803,122,
915,500,563,532,510,438,309,288,516,096,627,296,697,424,698,909,173,266,289,
477,378,111,365,491,121,882,756,326,891,180,833,198,344,327,864,079,374,822,
422,177,302,900,471,665,294,690,825,058,628,898,320,724,474,254,310,303,448,
846,618,851,178,685,404,789,480,917,356,015,839,229,203,070,723,367,186,234,
110,901,299,469,917,763,176,431,161,973,593,620,488,465,851,133,572,713,656,
222,946,304,486,787,624,082,016,837,503,175,526,011,414,575,917,342,764,233,
436,047,402,111,301,124,817,805,431,419,475,887,468,794,461,692,380,415,963,
748,228,642,005,834,050,732,841,560,347,242,821,078,687,608,539,622,223,161,
178,429,510,622,842,640,255,206,993,814,910,229,311,848,401,761,299,547,242,
672,849,399,821,501,000,280,799,631,003,634,569,782,440,057,265,028,628,761,
753,903,832,762,780,616,132,203,393,066,423,660,264,088,576,072,319,220,762,
514,335,328,427,995,393,744,052,958,459,814,785,534,465,228,191,077,585,975,
781,870,905,655,917,411,711,411,899,096,587,409,784,597,207,480,321,503,804,
318,219,480,046,289,040,295,911,841,870,092,396,875,908,534,955,118,825,420,
189,810,780,003,440,244,400,978,769,582,590,325,053,087,733,147,018,182,698,
258,661,123,865,051,744,102,820,389,719,046,484,087,964,751,538,262,581,442,
372,743,791,637,708,195,492,462,676,519,674,770,724,308,333,393,935,394,111,
521,581,574,802,992,107,361,684,926,447,290,488,649,161,904,142,156,035,305,
206,011,247,941,701,735,631,156,435,301,944,796,954,812,882,027,026,083,986,
720,679,477,206,989,368,530,570,808,385,100,522,812,391,397,474,701,405,521,
320,771,227,818,783,306,392,565,581,281,743,033,280,666,230,259,361,140,002,
385,421,322,159,277,637,443,810,377,784,361,327,824,126,768,609,966,635,174,
780,776,190,129,885,860,258,246,459,719,226,069,126,573,406,789,901,154,988,
404,559,532,894,098,428,177,243,678,292,853,423,368,660,341,927,220,482,998,
717,855,442,970,724,372,888,409,024,439,192,331,533,739,067,168,949,982,828,
870,540,317,871,836,187,922,988,887,026,330,814,762,632,915,927,917,518,622,
462,038,987,493,691,568,290,266,049,494,458,572,934,056,298,774,979,551,582,
561,667,014,508,388,864,064,066,742,902,754,811,722,718,924,458,876,217,149,
051,548,364,822,635,755,615,772,302,665,313,230,392,919,992,318,295,856,260,
950,616,224,344,728,819,905,943,183,763,846,581,686,486,787,110,664,873,137,
592,464,456,582,231,063,903,487,171,657,309,518,092,103,204,361,133,525,731,
208,328,656,105,513,402,068,657,849,289,728,828,922,919,742,262,556,400,243,
415,416,518,545,542,618,204,326,064,350,110,407,111,150,649,472,422,329,570,
696,663,522,198,067,307,649,442,692,174,019,351,980,603,120,271,917,116,301,
895,091,373,123,502,178,761,333,287,183,037,690,668,566,042,729,698,769,739,
124,853,886,277,055,844,261,430,169,296,032,788,815,509,080,587,200,499,227,
932,659,938,011,929,879,103,656,059,691,852,643,805,664,129,612,932,941,374,
908,560,653,134,031,393,929,741,991,848,129,255,626,195,297,561,245,817,012,
071,044,847,425,133,645,542,323,945,330,274,325,283,102,886,692,239,983,268,
732,724,390,924,097,014,823,902,794,114,836,600,225,419,606,322,701,674,838,
520,019,359,470,347,215,804,436,627,569,902,316,342,710,372,733,989,778,237,
838,583,672,323,553,822,023,016,735,038,037,741,895,016,867,528,978,218,765,
889,849,163,004,177,696,236,340,905,691,376,918,622,330,801,192,035,646,786,
174,425,270,824,831,547,107,815,906,753,502,574,894,993,020,312,069,691,389,
236,769,166,616,402,323,478,766,414,882,223,722,180,234,198,262,526,872,845,
095,118,564,648,860,943,037,392,408,831,533,327,523,363,340,712,090,284,201,
049,369,773,754,797,765,948,478,354,713,646,360,497,842,983,814,079,384,508,
042,152,833,887,796,609,736,380,085,200,880,407,548,118,788,955,290,907,074,
605,237,418,527,673,956,741,635,097,492,902,706,290,473,888,366,574,143,434,
934,149,737,066,535,382,752,667,764,273,278,741,192,947,285,349,540,034,734,
517,885,895,406,509,865,462,824,384,487,914,788,956,737,339,933,509,250,576,
577,969,581,039,108,314,043,741,270,154,867,539,913,081,564,927,707,714,910,
960,804,188,261,422,657,658,687,283,067,160,622,390,953,323,476,159,326,260,
254,326,953,787,691,271,710,078,794,016,907,481,974,634,291,964,885,706,817,
472,590,039,179,006,005,025,432,598,982,092,702,941,766,975,664,625,563,316,
340,717,309,573,242,071,052,975,034,514,134,066,270,540,162,774,833,352,319,
084,718,917,704,414,290,107,488,263,835,616,263,332,130,496,152,473,925,651,
275,628,720,300,749,002,917,598,921,730,763,066,462,951,354,602,489,956,066,
830,400,337,908,118,453,877,436,056,377,853,465,800,991,481,744,708,845,377,
954,538,435,796,846,249,286,044,423,702,335,705,193,840,977,730,816,638,447,
137,671,258,972,917,346,214,735,696,428,651,115,787,977,847,495,543,641,352,
326,786,741,073,707,314,608,665,816,350,529,406,214,564,622,579,188,874,371,
356,245,588,223,409,298,053,893,741,529,973,357,024,104,004,856,855,441,351,
480,257,294,176,357,253,454,665,622,659,460,160,142,483,082,489,473,893,495,
491,287,485,051,911,112,645,500,845,868,055,155,778,753,267,570,414,845,153,
365,857,938,196,786,530,099,004,498,504,474,996,695,529,451,259,323,379,562,
159,588,567,281,836,118,732,597,757,535,711,162,244,914,512,729,906,428,867,
941,401,571,453,300,766,535,639,584,104,722,667,861,223,552,716,869,521,750,
380,286,069,909,578,786,492,124,490,025,827,891,969,300,342,874,340,862,710,
145,957,174,988,795,517,913,446,950,574,496,836,527,491,042,743,760,150,724,
941,725,450,384,509,695,258,434,140,813,431,458,097,786,832,182,278,343,851,
692,079,374,875,835,544,583,574,427,110,273,266,655,274,006,118,957,151,784,
949,690,951,958,693,642,911,874,287,773,193,241,627,751,658,105,344,831,265,
532,360,801,986,678,629,965,991,255,267,588,518,747,877,286,881,926,782,811,
964,657,140,628,532,093,412,802,895,366,130,239,030,315,687,333,974,776,427,
863,948,200,626,867,399,545,416,322,778,502,296,656,985,184,375,439,272,152,
983,969,057,111,002,349,298,091,431,665,620,505,945,939,710,385,772,795,683,
872,980,426,371,603,499,813,600,671,922,316,615,693,220,551,716,185,056,896,
751,864,407,845,347,988,928,192,571,185,612,131,025,996,459,838,550,987,589,
543,627,757,872,120,497,411,191,443,116,003,138,187,254,724,773,045,157,081,
256,486,231,730,435,084,257,906,242,857,305,228,930,413,489,734,816,849,464,
997,311,889,221,105,267,907,755,653,563,112,715,093,959,235,959,553,895,334,
862,192,128,312,111,115,890,331,094,365,299,603,444,609,147,401,793,080,266,
672,428,498,639,185,086,946,199,777,948,088,353,548,789,955,666,764,299,833,
347,885,627,668,353,514,857,839,562,575,525,660,417,955,459,061,035,904,275,
017,003,892,497,513,092,439,039,861,062,706,676,242,338,916,440,438,588,455,
011,263,846,362,265,487,567,765,556,742,932,314,599,824,912,927,293,385,909,
196,827,472,318,482,766,814,306,248,672,327,810,144,735,425,045,844,990,313,
354,603,049,964,760,341,595,809,106,997,341,342,418,714,253,708,955,597,166,
711,158,827,835,984,130,264,385,229,775,911,558,182,440,708,057,268,708,049,
479,473,074,430,395,119,394,187,039,982,581,246,527,154,236,503,701,743,718,
977,360,660,221,544,201,845,643,264,863,080,083,153,320,489,035,304,883,475,
572,590,934,420,370,557,900,048,120,651,730,284,752,269,622,037,530,849,509,
918,836,480,161,523,727,021,194,619,976,881,182,855,939,037,550,470,103,868,
115,471,650,790,049,019,419,824,914,605,259,268,412,887,686,125,515,174,451,
798,199,691,331,718,269,541,914,928,706,181,125,972,780,786,681,113,920,961,
803,254,169,521,847,255,123,435,111,728,245,673,030,977,441,163,954,348,935,
935,861,081,332,513,642,674,804,996,516,783,186,089,025,175,483,404,423,510,
246,826,159,660,417,360,379,947,153,941,978,478,485,794,018,850,783,194,711,
376,973,049,448,748,520,854,504,752,800,987,161,356,280,841,301,813,623,349,
042,654,387,972,486,264,548,287,341,521,932,443,270,871,712,518,820,714,067,
971,597,622,620,661,292,790,604,575,272,082,152,771,590,463,049,487,499,365,
831,675,345,933,780,250,237,055,652,486,743,286,819,078,139,226,904,655,898,
953,426,847,298,162,673,402,646,971,413,386,300,297,155,660,979,968,448,440,
756,479,809,009,338,537,368,520,739,840,289,478,087,774,079,194,464,552,854,
035,052,591,002,036,470,573,156,594,075,982,678,635,736,275,366,148,076,024,
500,316,089,538,619,692,479,687,872,407,119,224,638,870,361,986,293,626,381,
895,975,990,038,267,613,424,595,009,578,292,090,649,823,873,416,044,524,210,
442,174,930,440,897,421,491,700,782,825,779,152,485,515,699,220,658,219,622,
121,252,026,193,540,262,881,998,527,476,426,870,713,911,062,326,848,176,173,
081,907,939,085,825,330,533,793,962,976,749,200,544,739,533,109,727,422,957,
893,662,703,999,656,732,189,104,103,646,121,761,796,222,704,479,849,576,247,
070,156,834,044,697,121,821,315,135,175,485,621,185,560,971,952,440,973,654,
278,125,610,060,099,009,149,509,134,258,918,645,989,339,876,907,356,591,297,
344,687,904,181,622,016,355,940,682,913,572,995,132,696,230,491,264,483,009,
705,609,268,980,009,189,257,327,876,051,537,220,007,158,134,908,092,625,939,
376,220,254,511,269,653,777,569,882,424,098,172,828,720,671,501,323,038,436,
671,251,781,329,512,660,513,139,012,619,953,044,412,261,239,508,803,250,181,
999,998,296,051,486,981,767,369,449,189,758,576,316,252,623,262,405,308,840,
682,065,500,778,544,954,922,714,340,533,196,737,038,847,290,309,314,052,501,
220,956,488,648,596,425,768,933,251,433,489,671,961,084,735,383,675,778,965,
057,858,804,236,339,144,927,330,800,714,472,536,314,547,983,959,006,628,340,
978,650,215,592,394,626,414,626,593,143,494,824,035,333,665,202,725,960,485,
593,363,569,808,815,941,649,062,103,214,793,703,345,396,876,113,853,886,796,
213,663,288,991,261,248,215,908,377,934,151,842,796,443,297,899,763,132,302,
407,417,177,767,603,512,292,537,374,464,662,747,172,266,611,907,280,074,016,
188,833,938,514,896,602,647,149,719,831,958,826,060,141,385,424,399,665,862,
776,218,440,605,681,009,062,945,434,293,008,799,527,011,178,615,141,168,899,
902,636,959,232,872,639,217,529,432,360,957,307,220,611,753,867,830,448,965,
057,974,425,150,565,688,517,706,534,998,241,969,071,362,178,902,888,760,000,
574,905,073,771,290,639,041,060,574,622,732,066,004,034,627,500,609,651,474,
859,787,082,067,511,161,825,353,183,499,792,078,220,814,733,825,934,118,052,
876,324,805,933,229,616,050,687,546,095,095,190,031,394,506,064,050,861,021,
682,271,289,309,028,487,465,631,984,909,322,804,824,055,371,153,150,778,994,
635,495,820,251,753,090,172,977,792,223,263,695,447,201,831,387,769,499,523,
054,727,634,971,476,369,256,564,376,301,319,964,438,389,928,669,227,890,747,
638,164,321,381,995,481,508,632,661,651,005,967,340,520,109,909,921,366,561,
501,120,992,209,410,494,640,771,145,495,439,142,144,800,203,729,571,368,224,
454,044,361,227,786,489,864,601,646,723,462,841,099,098,781,769,821,066,058,
579,239,955,304,324,892,100,900,404,505,631,257,208,756,696,905,977,172,269,
275,991,554,986,663,755,735,552,027,929,032,415,100,768,696,167,461,275,298,
433,623,848,449,518,135,460,058,341,972,081,650,860,608,803,836,234,305,616,
608,055,291,729,842,787,195,126,224,860,552,050,716,013,020,874,791,962,080,
283,724,350,355,841,394,392,374,124,400,094,299,754,477,474,314,640,222,930,
893,442,010,910,644,995,768,076,910,062,777,132,669,707,919,293,820,950,637,
955,285,290,264,624,989,772,076,412,982,708,610,697,877,021,765,512,478,285,
345,274,516,646,694,613,533,317,754,827,997,435,667,160,234,135,107,767,914,
942,332,824,543,137,782,135,958,666,895,446,349,564,449,904,639,903,829,589,
266,138,736,776,541,268,416,569,102,333,039,105,200,619,569,145,238,436,892,
905,015,955,691,826,291,598,281,878,806,693,515,398,476,316,199,971,138,806,
950,934,961,732,658,818,772,079,801,529,507,039,326,471,004,407,895,612,125,
491,781,404,130,575,511,521,623,501,845,607,077,677,239,625,450,404,470,285,
677,259,313,431,287,167,375,892,313,779,969,973,372,952,740,080,091,743,051,
436,762,402,497,812,137,340,754,477,355,378,957,883,640,076,155,318,412,077,
933,903,592,937,027,010,700,130,678,383,179,818,470,583,182,300,177,933,235,
196,194,338,840,760,141,550,724,606,641,345,064,485,952,481,114,029,855,596,
935,545,053,337,211,470,475,494,871,572,986,728,625,701,845,845,518,653,819,
405,216,847,976,570,469,325,922,491,008,351,160,677,016,514,230,473,178,122,
586,640,883,619,024,424,826,663,976,342,306,223,815,192,738,386,238,220,971,
014,516,596,459,125,949,134,069,898,448,411,896,608,106,064,470,907,479,809,
299,588,493,549,700,563,177,612,595,754,789,323,943,792,050,625,774,647,467,
231,649,123,241,302,355,234,283,414,747,467,825,308,042,620,690,111,501,363,
687,361,359,774,756,448,061,224,122,145,140,982,914,953,978,410,514,683,101,
690,738,275,761,623,392,107,091,015,894,469,796,438,456,027,941,056,287,518,
427,469,005,192,003,880,581,402,298,593,796,742,591,076,373,220,089,857,243,
299,861,734,689,825,747,161,502,890,216,694,378,125,544,907,728,290,152,972,
387,294,378,141,322,774,422,978,418,027,981,716,440,350,079,668,870,025,104,
989,582,463,639,654,159,971,705,711,459,309,632,269,467,243,813,369,797,530,
876,640,613,152,472,972,521,961,747,925,899,217,707,144,821,677,487,129,509,
010,655,183,646,503,181,651,402,348,002,145,807,605,049,722,009,908,844,593,
118,666,045,021,444,397,241,292,541,816,345,738,036,338,209,028,719,524,795,
827,447,480,564,967,935,160,116,622,011,669,343,306,267,713,463,347,039,992,
313,672,914,774,198,227,553,961,735,576,468,438,528,927,078,958,131,394,225,
520,129,800,924,961,087,747,980,484,436,633,302,872,716,505,235,112,639,057,
946,308,908,170,784,521,413,711,116,434,263,733,905,335,955,403,145,093,102,
466,372,356,668,221,605,304,745,973,013,803,266,887,352,052,230,139,737,208,
757,155,186,396,793,708,734,098,242,085,569,336,227,391,543,772,460,083,456,
159,576,541,554,337,184,131,719,764,416,144,529,809,592,914,998,099,330,267,
908,126,956,018,241,067,278,072,271,595,891,384,885,994,135,213,296,596,165,
367,966,645,465,856,635,959,524,485,793,099,021,972,182,742,583,202,153,666,
054,071,408,542,828,305,535,736,418,517,004,395,281,420,446,233,370,614,158,
855,021,849,100,098,563,932,942,908,289,680,031,659,218,713,907,851,164,890,
415,072,970,440,383,915,309,877,963,038,672,212,559,174,214,844,377,680,991,
233,087,117,211,765,427,702,599,772,784,151,633,719,860,693,612,216,478,898,
338,375,825,871,629,726,283,003,488,402,192,978,654,575,341,306,443,811,871,
642,772,608,883,241,484,108,133,980,096,281,135,254,500,467,116,079,002,889,
458,146,176,166,412,525,480,224,224,471,285,581,048,098,102,282,554,864,099,
082,837,665,481,090,748,063,394,143,071,770,146,980,052,144,005,037,976,591,
615,209,035,867,826,034,214,363,542,400,769,968,091,109,667,369,417,563,129,
307,396,367,415,561,862,786,764,668,554,634,541,932,176,356,524,973,650,312,
593,097,096,077,492,021,016,627,058,707,408,632,004,973,451,508,732,604,500,
991,062,333,410,041,204,253,816,500,479,501,316,193,385,767,286,020,051,934,
142,440,807,423,321,595,619,678,446,923,381,173,873,000,954,246,785,585,513,
250,619,761,380,393,352,831,887,897,484,406,408,418,429,983,588,495,944,101,
363,157,871,659,319,408,214,422,566,141,847,667,007,313,218,659,195,550,308,
364,601,540,762,842,188,706,977,121,571,586,029,938,903,667,822,505,209,034,
230,333,326,760,581,421,791,899,926,912,966,862,146,696,224,622,755,342,093,
802,142,025,274,636,471,613,676,340,099,648,378,766,580,354,468,279,524,089,
298,900,815,126,170,093,861,895,225,786,038,192,215,041,858,086,126,006,388,
233,598,657,338,275,653,489,336,344,082,684,078,541,532,352,626,502,371,768,
331,588,135,840,909,073,885,939,332,766,789,024,696,948,903,483,212,651,721,
873,084,319,516,267,360,891,247,142,853,628,584,686,439,271,680,964,826,674,
069,388,142,134,106,265,803,194,884,546,201,139,362,125,201,782,945,315,621,
620,993,938,580,261,478,036,659,670,838,397,504,516,728,916,694,244,504,262,
868,871,902,077,687,299,907,420,010,185,631,272,662,949,375,595,208,914,468,
208,268,562,950,123,021,210,034,850,074,055,426,306,550,533,617,136,851,265,
401,439,831,066,304,960,212,078,242,927,249,711,752,644,138,696,791,292,171,
361,444,987,213,361,478,999,962,459,039,682,854,650,258,465,262,965,075,505,
264,990,187,615,187,601,813,193,809,593,588,619,170,767,309,731,017,410,429,
450,822,404,195,017,045,477,713,916,264,461,716,576,611,854,107,068,141,058,
515,848,442,999,013,029,421,902,101,181,715,108,896,102,353,222,397,576,180,
124,127,096,394,790,674,177,690,256,575,924,247,565,676,846,180,605,585,903,
010,112,928,678,830,108,089,561,610,375,203,303,613,326,530,993,481,547,217,
347,205,141,108,189,515,082,699,471,511,163,279,189,972,591,818,650,170,730,
914,858,701,662,815,860,887,615,571,074,992,697,446,546,831,826,089,961,178,
068,693,511,735,619,165,623,405,346,449,258,365,857,907,946,627,587,570,308,
797,370,766,770,869,385,163,230,372,108,673,097,137,548,275,930,307,401,258,
168,653,489,783,819,235,361,005,230,142,278,824,736,334,163,589,547,333,387,
158,307,007,197,165,016,714,045,998,831,806,391,771,015,997,706,608,148,454,
769,962,444,361,123,733,782,807,091,808,368,095,539,995,845,507,959,595,141,
570,390,960,079,695,425,130,822,746,617,259,624,216,475,220,964,522,912,577,
005,814,438,839,538,142,720,050,435,657,742,813,693,770,695,468,331,095,937,
283,014,609,349,106,853,256,669,759,939,553,172,411,249,991,180,066,148,914,
941,053,347,383,347,770,078,759,709,033,644,636,870,918,619,074,546,815,220,
348,031,137,424,986,941,610,562,777,968,545,112,898,904,812,091,937,933,180,
929,144,352,151,828,847,220,104,637,290,700,504,809,716,972,445,198,497,605,
380,185,204,230,062,601,654,814,191,350,377,149,521,738,733,075,000,403,782,
081,761,355,594,492,551,386,747,194,648,319,344,825,771,618,160,605,437,011,
148,979,378,851,107,221,626,026,653,212,529,287,666,514,730,587,369,428,879,
746,168,974,039,790,507,575,705,227,832,837,520,826,346,238,623,395,620,887,
909,790,506,617,575,157,458,358,542,218,993,420,323,501,005,914,749,345,489,
859,767,125,576,333,030,957,986,376,963,137,510,550,488,332,613,889,628,600,
827,262,698,250,877,589,018,104,656,328,454,606,852,525,260,549,540,932,537,
047,983,306,839,066,785,437,375,464,054,195,576,479,069,884,985,252,432,504,
844,875,040,881,258,893,498,989,029,466,047,639,371,903,579,535,860,189,432,
304,933,056,930,653,515,918,130,835,664,774,941,660,674,300,302,913,123,229,
271,408,636,838,575,307,517,491,210,226,734,751,297,820,230,267,718,765,534,
332,934,960,550,897,414,104,310,308,155,129,616,645,707,324,541,342,306,971,
341,772,276,710,058,375,545,561,069,588,396,221,665,518,813,262,732,185,705,
545,538,543,085,470,177,225,113,263,086,721,265,644,658,123,640,856,072,986,
367,703,125,126,030,447,666,984,659,835,174,475,992,392,755,365,664,417,111,
235,854,787,732,356,786,569,098,793,976,646,999,235,643,555,376,266,273,282,
945,516,142,096,657,675,881,665,027,342,708,783,450,908,985,514,792,447,261,
287,113,214,765,105,572,350,759,404,053,129,397,545,560,970,381,835,352,848,
282,135,076,425,764,026,626,355,594,183,029,371,993,460,974,710,835,005,312,
983,661,159,365,342,319,420,306,502,980,774,008,201,690,081,729,926,659,041,
139,163,614,112,217,069,519,988,576,801,403,734,301,895,394,962,621,895,802,
732,234,450,441,912,051,080,235,640,095,755,602,244,316,958,044,823,987,405,
650,845,551,366,127,095,479,362,403,568,987,030,992,859,067,791,568,568,344,
026,347,575,531,220,770,053,322,603,346,533,319,301,224,282,573,630,618,006,
026,958,035,821,284,155,153,078,836,076,278,093,464,809,015,616,683,955,787,
725,642,213,104,515,737,768,029,895,865,672,932,680,120,337,177,645,825,980,
231,465,537,749,169,640,504,646,199,195,142,625,543,743,715,415,431,984,464,
540,413,098,393,338,203,801,254,150,269,220,634,025,331,462,257,912,408,338,
584,524,971,656,150,535,695,536,596,956,445,943,574,483,937,221,876,591,131,
228,476,008,577,828,448,019,963,212,436,831,740,467,177,664,574,430,046,223,
214,484,852,140,137,322,745,767,759,877,434,339,585,373,218,081,371,894,727,
808,778,783,898,564,031,401,951,544,344,227,057,351,360,492,522,184,626,163,
781,834,814,277,930,225,051,576,666,071,512,454,451,037,310,834,157,274,746,
138,644,173,046,471,470,888,672,018,494,311,287,000,246,961,167,181,795,212,
729,027,483,075,001,500,019,797,536,495,489,833,720,060,356,337,372,390,060,
223,971,406,606,925,885,747,525,714,443,391,896,223,924,634,030,446,660,668,
775,941,530,103,901,043,097,051,241,659,749,538,173,034,117,149,569,662,269,
902,641,487,340,231,581,407,686,422,104,307,669,391,653,203,500,565,095,301,
831,403,006,633,966,093,689,832,014,412,504,600,218,038,495,544,854,621,710,
947,740,071,984,198,937,895,688,107,075,346,732,574,738,642,668,222,539,327,
455,887,438,087,920,624,586,794,262,518,556,925,871,824,884,292,010,265,553,
884,174,278,676,709,426,223,375,701,962,597,795,808,929,978,092,594,995,165,
761,224,583,503,867,985,660,197,991,229,090,963,292,210,140,734,088,469,884,
125,169,113,520,396,767,992,578,600,507,465,146,806,900,174,900,650,855,540,
334,050,114,956,566,996,123,554,746,617,316,133,505,043,319,702,689,650,663,
340,591,372,238,763,853,296,228,698,493,469,685,284,031,619,965,037,128,836,
971,772,550,621,491,835,533,731,274,747,216,770,525,256,405,641,544,417,331,
310,852,589,019,015,664,222,249,398,440,229,393,711,219,675,096,898,631,480,
251,747,883,996,624,918,102,833,363,443,044,256,460,100,914,374,712,383,110,
588,950,309,913,666,088,205,445,466,857,376,292,476,385,002,687,947,567,442,
956,970,776,711,792,865,891,024,108,565,489,580,682,117,512,378,804,870,795,
951,923,264,843,185,012,169,144,182,082,526,971,494,424,795,328,282,636,802,
810,058,332,908,385,761,878,221,872,683,381,460,863,312,318,668,699,474,943,
195,441,501,234,819,841,900,186,939,747,050,832,251,399,201,630,869,928,029,
238,800,825,712,235,391,936,062,203,246,628,452,907,196,903,444,028,040,524,
228,599,093,734,106,440,928,837,502,556,774,354,036,459,879,212,710,811,386,
065,837,408,690,645,584,819,402,511,557,534,115,467,361,997,470,565,427,604,
864,983,529,605,183,149,132,995,110,070,560,972,627,156,279,333,492,542,247,
753,509,525,258,377,038,979,612,322,478,207,176,857,518,372,010,033,387,291,
438,951,218,716,699,557,165,966,393,978,889,511,827,430,612,313,117,605,960,
230,091,333,931,217,401,388,782,180,208,664,017,391,636,065,285,346,991,633,
083,680,418,848,563,541,611,592,659,059,834,285,761,147,641,861,509,187,097,
326,510,863,203,432,955,389,210,804,396,611,816,861,631,677,402,243,298,320,
007,115,611,958,455,419,368,580,239,002,274,924,799,220,277,281,249,750,805,
872,706,378,636,694,983,529,585,060,733,222,146,062,982,857,470,107,816,140,
874,331,224,347,236,448,006,984,805,128,868,565,875,294,342,935,885,407,803,
891,763,109,624,182,673,713,337,843,667,699,951,230,951,586,922,952,208,260,
247,647,534,142,411,124,681,766,469,028,136,535,306,282,265,564,596,349,555,
470,304,008,208,451,628,330,853,444,034,181,318,635,446,176,641,549,616,621,
567,201,646,699,317,165,743,491,139,369,188,496,218,860,706,994,877,789,529,
331,788,265,970,301,095,315,053,165,743,778,429,683,784,090,245,628,035,552,
445,929,196,433,572,834,564,757,040,700,926,979,383,640,400,521,095,628,123,
407,651,563,897,343,423,530,118,533,819,934,619,633,148,859,920,210,017,056,
525,819,831,206,591,209,057,242,323,960,361,560,816,337,921,488,682,872,498,
450,122,423,593,218,795,559,390,712,894,320,556,191,160,582,999,054,541,944,
143,709,136,976,791,767,773,126,807,113,954,730,572,473,722,150,089,492,162,
436,912,681,747,953,286,634,909,563,094,994,058,624,656,750,636,488,933,200,
923,563,253,853,616,369,055,420,506,677,835,395,358,291,839,107,586,109,310,
329,906,247,728,712,862,041,487,237,467,734,242,447,233,896,700,147,813,225,
812,474,649,983,866,808,685,755,350,859,275,706,803,484,860,344,629,899,322,
571,788,782,068,518,418,320,921,415,516,518,496,071,385,424,572,151,837,871,
147,291,504,578,075,915,917,465,595,854,974,103,552,397,251,815,589,662,224,
678,612,816,224,391,488,499,755,532,346,877,816,042,746,607,128,922,796,528,
520,986,970,266,818,156,005,662,769,287,156,473,901,840,237,326,498,992,380,
770,030,062,497,357,509,203,208,644,754,342,269,448,815,848,128,292,376,081,
953,460,775,301,303,703,747,269,625,517,262,007,189,922,337,157,610,488,211,
103,108,922,378,877,166,186,896,608,825,164,346,241,078,302,689,790,393,433,
539,253,337,656,439,060,875,089,369,408,721,173,766,243,293,535,658,255,584,
943,028,561,748,796,203,383,100,642,914,441,460,049,680,346,663,071,951,567,
590,838,219,858,375,618,581,932,760,426,820,631,344,001,117,199,254,407,044,
729,816,633,262,791,698,737,559,240,755,923,321,763,096,519,554,497,885,818,
395,082,252,550,469,325,653,987,106,289,521,379,025,758,945,873,736,342,846,
184,567,346,328,585,182,378,194,336,013,501,709,310,631,440,948,577,376,554,
430,941,851,117,121,423,545,011,020,891,135,503,586,867,640,400,518,242,931,
910,867,967,735,809,810,076,991,305,064,359,168,296,891,957,439,007,470,335,
351,686,677,112,882,857,482,332,336,670,395,934,888,937,558,936,427,038,456,
408,897,036,928,438,450,510,820,943,348,306,257,211,958,853,718,168,711,466,
748,443,740,566,038,857,508,238,296,683,092,882,349,391,586,071,270,886,488,
587,883,567,984,932,076,009,818,456,246,486,715,126,783,571,930,049,518,632,
644,645,129,408,064,714,183,625,962,045,776,447,384,930,173,760,506,591,881,
063,484,462,416,161,541,974,155,858,048,174,729,365,181,168,123,948,215,265,
165,845,628,546,023,577,642,080,001,254,721,824,356,083,613,580,431,013,346,
252,871,610,692,607,995,663,952,827,917,811,982,386,153,792,532,908,873,644,
120,051,389,254,828,663,674,858,858,903,365,713,620,704,046,240,962,107,995,
474,631,937,102,985,150,658,007,114,140,821,783,363,571,427,822,285,313,091,
554,010,642,506,933,640,738,574,732,715,506,941,796,860,390,357,453,195,969,
336,724,047,002,204,947,126,559,480,396,283,504,349,724,641,447,476,680,561,
043,212,177,663,927,628,051,270,718,751,235,598,868,438,089,261,562,161,905,
573,177,546,324,931,027,417,542,450,036,801,394,482,280,843,370,617,578,637,
665,481,607,674,925,893,647,906,670,260,500,146,425,756,612,518,429,537,972,
959,000,533,112,290,114,758,307,717,053,438,150,052,725,813,133,134,950,717,
645,034,739,299,472,625,584,650,064,787,992,887,433,449,384,473,749,436,604,
912,509,302,160,130,689,872,949,283,045,174,147,577,420,694,669,572,634,061,
473,143,187,841,612,242,658,954,301,636,600,497,390,815,693,870,043,579,034,
533,974,770,341,922,001,721,665,741,096,834,722,605,590,899,427,126,491,143,
554,262,059,144,455,622,611,646,981,960,169,638,587,775,769,310,554,952,865,
353,975,565,803,762,964,688,255,203,745,166,009,421,171,164,174,571,876,988,
055,674,950,098,760,797,526,725,869,513,712,806,832,241,847,692,058,815,685,
410,590,102,362,924,101,195,027,020,665,623,049,948,447,170,811,208,310,508,
178,324,242,079,838,768,495,095,915,241,953,799,262,818,432,290,974,334,853,
662,763,018,817,615,063,478,057,178,740,990,166,321,969,055,504,045,004,773,
336,316,449,445,708,884,997,516,694,323,300,053,686,793,443,060,421,723,898,
168,111,720,314,895,774,004,743,420,406,208,277,770,924,507,452,714,062,160,
999,333,243,228,271,690,883,109,751,683,546,758,976,613,374,654,906,654,542,
152,572,242,653,627,368,145,542,492,054,019,883,070,372,398,872,046,633,638,
820,540,519,238,643,104,604,379,591,899,737,211,232,463,952,464,987,424,450,
224,231,956,704,051,477,053,876,645,315,666,350,898,491,380,139,201,540,549,
270,979,711,251,589,655,558,899,330,384,190,273,771,772,580,763,553,570,469,
448,300,055,316,506,744,870,888,864,224,624,894,333,641,880,019,439,770,744,
508,068,782,013,275,266,061,274,039,621,270,141,666,854,484,798,485,239,541,
179,764,525,261,458,274,171,363,721,384,614,755,302,953,028,033,046,635,604,
433,573,974,696,898,358,935,850,733,618,458,939,564,498,444,444,854,931,309,
941,223,219,603,073,106,940,487,480,759,979,958,665,855,442,186,872,877,984,
780,841,030,442,741,777,982,624,965,427,817,573,008,525,047,598,933,632,483,
245,248,071,723,446,433,402,096,638,081,539,711,404,642,702,330,740,350,186,
760,797,210,436,189,210,139,706,692,538,812,286,022,026,313,571,477,016,939,
188,088,868,731,724,620,583,825,886,704,515,750,259,925,588,623,358,141,101,
286,894,071,758,180,158,710,722,652,190,461,882,356,072,028,360,277,391,678,
800,472,718,888,080,820,133,985,614,483,456,904,437,022,578,699,190,615,192,
682,194,784,667,051,652,433,611,894,810,465,823,016,040,135,170,574,392,065,
094,692,132,627,593,040,236,804,311,530,449,178,628,070,550,522,102,040,218,
508,985,803,329,307,882,393,832,609,450,668,572,446,373,928,397,625,335,427,
559,760,708,251,662,620,340,770,729,154,437,160,779,786,185,192,056,746,011,
824,954,491,445,384,513,666,017,002,357,448,906,588,951,626,877,607,352,984,
365,468,215,752,874,218,922,999,644,697,532,428,235,851,471,523,036,112,363,
035,158,488,737,719,944,750,670,269,899,990,635,223,676,583,698,857,406,349,
732,864,350,809,553,292,389,916,403,433,858,885,286,602,875,142,714,472,225,
166,746,537,890,562,125,090,913,085,946,094,822,103,461,337,901,973,903,298,
909,677,083,036,540,125,549,848,473,270,441,247,691,587,640,454,751,325,237,
345,430,324,809,609,428,545,477,576,492,801,881,385,855,624,041,061,157,646,
457,192,957,161,979,664,598,136,057,590,807,609,325,638,871,911,024,865,252,
707,201,513,514,463,069,907,754,426,155,023,758,568,593,303,081,077,393,304,
459,562,700,148,424,182,751,702,960,811,668,796,195,860,315,027,566,916,635,
624,772,580,886,133,142,115,347,830,319,919,421,681,325,019,424,685,000,840,
321,554,841,371,448,414,831,146,680,276,773,206,864,798,493,915,455,371,410,
484,965,086,473,703,817,826,756,457,759,731,995,385,195,128,830,314,138,605,
853,808,653,009,400,705,761,041,632,443,934,910,862,113,772,327,409,437,489,
448,354,394,576,596,206,837,766,981,004,097,692,964,971,544,248,420,523,287,
738,228,112,017,014,130,170,346,367,252,038,483,272,634,333,790,922,867,366,
521,223,372,900,505,302,390,140,302,293,913,280,060,536,079,908,306,078,400,
096,701,446,492,816,998,122,685,814,309,566,307,515,627,766,204,239,233,134,
997,391,923,390,851,991,908,808,635,159,863,275,288,370,186,170,477,676,330,
374,079,835,940,194,278,746,241,390,437,635,426,053,200,485,652,409,921,981,
900,610,808,647,300,123,571,225,362,367,413,278,722,326,407,762,098,266,328,
862,960,575,410,076,042,500,835,171,899,646,052,312,132,505,178,776,663,987,
403,659,537,476,149,765,594,821,177,989,799,515,150,004,835,665,344,397,253,
316,133,871,935,700,582,842,996,537,743,327,851,981,896,100,340,530,414,398,
588,828,570,552,680,036,478,800,441,347,924,043,506,761,106,927,772,811,780,
328,110,346,316,486,332,376,747,261,580,418,110,266,686,525,776,002,215,245,
314,236,609,134,570,869,799,547,991,737,735,861,669,226,653,918,273,133,771,
813,928,125,418,477,764,568,648,937,861,899,601,446,666,508,189,709,272,419,
458,132,421,290,574,486,483,322,836,221,934,765,562,668,544,701,496,921,547,
022,047,272,015,548,682,765,816,483,577,942,555,870,557,099,289,360,184,119,
563,157,909,720,724,333,556,228,122,474,794,392,109,354,921,585,889,299,667,
872,401,215,912,056,363,111,422,836,607,072,029,765,874,054,447,549,530,036,
389,576,554,576,820,474,850,335,564,266,805,428,837,099,608,888,657,065,633,
893,044,345,856,322,260,067,761,991,390,918,106,129,984,476,962,487,848,512,
436,364,738,105,587,852,665,632,092,545,036,651,702,568,079,998,859,693,615,
961,525,411,338,936,854,069,272,609,989,882,936,409,424,889,424,782,345,642,
994,811,583,083,187,768,586,562,267,670,484,307,564,328,869,848,583,241,063,
660,042,797,105,310,098,483,542,697,563,826,136,498,157,586,001,002,629,563,
917,363,279,913,729,469,687,124,771,165,145,886,318,673,525,275,870,904,475,
121,126,320,209,853,465,313,510,366,614,472,350,293,559,732,955,695,992,160,
545,286,804,713,418,566,261,084,690,740,148,366,997,506,743,299,084,345,975,
777,572,405,350,690,448,055,843,855,095,470,992,255,655,738,756,641,668,615,
652,762,760,084,508,909,137,762,861,272,879,331,983,807,131,654,256,095,907,
147,347,442,770,162,243,242,176,952,751,353,466,067,638,892,141,039,814,413,
772,324,418,299,529,317,878,526,016,648,918,105,221,680,485,228,421,310,942,
985,825,160,983,020,104,266,883,547,174,128,344,120,426,947,785,985,656,971,
979,275,119,280,407,863,817,165,143,756,554,369,788,095,515,524,056,114,707,
909,280,847,258,394,084,030,521,116,340,403,699,368,744,069,284,043,222,711,
465,705,885,885,006,150,613,869,563,697,907,790,825,412,273,478,791,967,973,
581,349,771,672,749,346,444,575,092,400,041,637,957,538,713,082,321,336,523,
997,010,125,880,940,749,359,214,416,431,323,773,120,542,804,113,127,395,263,
771,145,081,266,220,017,288,360,091,032,401,934,804,437,602,554,833,652,078,
285,303,250,756,665,703,840,535,791,400,978,180,416,511,674,269,304,225,553,
385,045,613,065,957,731,243,223,535,666,062,570,316,070,048,222,789,455,814,
716,694,775,876,671,346,104,191,811,859,113,572,875,164,439,196,069,692,800,
945,220,801,243,344,724,601,581,340,514,927,578,861,907,494,072,649,122,918,
071,854,930,457,739,418,451,277,160,115,304,801,821,655,359,905,433,509,176,
285,856,305,078,514,166,316,569,440,369,460,764,244,871,341,017,470,783,010,
493,713,133,588,512,225,956,956,422,583,398,725,650,130,100,813,476,055,734,
067,430,382,369,658,584,464,456,053,564,692,386,000,760,483,309,818,373,558,
801,584,713,777,068,143,556,016,050,855,996,482,505,734,886,666,690,411,156,
655,147,563,797,890,636,482,113,797,109,795,308,161,847,163,684,407,022,458,
628,675,253,092,959,293,632,694,854,650,269,958,280,143,132,275,420,049,740,
147,318,542,264,658,215,927,531,104,947,250,152,510,426,725,739,194,895,743,
609,833,002,860,822,944,786,863,627,883,859,164,103,026,968,615,469,412,445,
752,490,642,533,349,078,499,839,580,229,100,733,722,730,215,943,935,039,595,
857,615,785,957,825,709,727,610,101,230,912,780,962,166,034,689,546,910,835,
664,813,381,670,131,136,826,163,300,464,941,202,738,491,278,870,397,268,968,
976,855,376,109,340,946,490,899,336,246,879,680,870,673,057,462,989,120,924,
383,461,079,806,442,887,736,531,988,474,776,934,656,770,251,328,715,226,251,
398,856,546,683,463,361,151,486,228,224,110,937,884,985,288,959,352,734,638,
117,482,813,317,258,091,156,562,687,263,244,741,202,787,861,619,592,025,317,
970,147,864,684,466,618,782,808,984,413,976,365,745,282,419,923,730,733,589,
658,567,760,835,319,064,513,500,093,691,649,450,303,238,492,233,571,025,130,
984,322,519,654,323,911,586,130,187,871,762,399,889,310,388,291,113,710,169,
974,315,754,766,851,128,218,848,873,695,839,189,788,348,642,868,800,383,167,
588,443,119,519,475,941,189,720,612,188,224,508,720,441,673,567,634,085,427,
824,789,299,066,827,686,052,762,182,149,207,350,746,832,583,043,776,020,560,
178,361,878,867,525,099,185,227,595,342,467,862,884,632,477,146,427,469,183,
507,940,346,773,796,617,647,271,761,661,892,495,942,809,149,488,872,559,702,
138,530,722,399,221,220,197,086,167,610,443,659,382,430,546,173,363,532,276,
149,081,763,835,108,730,175,748,615,118,315,814,038,201,371,168,936,784,537,
753,307,813,676,559,809,013,763,872,950,285,225,085,392,211,982,633,272,047,
555,699,359,074,736,311,476,069,305,513,103,089,662,494,262,487,342,583,920,
297,067,810,361,766,003,788,761,828,324,685,316,823,225,107,426,646,472,675,
129,261,444,762,948,847,313,000,740,292,906,188,481,104,409,365,965,967,309,
181,373,683,521,341,648,749,787,527,341,243,292,256,219,790,475,942,078,540,
512,433,132,176,022,471,211,362,183,861,777,005,022,768,558,754,771,702,369,
822,819,502,012,657,111,762,996,307,209,454,753,256,110,685,716,484,394,656,
537,626,889,117,575,481,589,824,462,202,261,966,188,067,873,914,045,498,496,
901,045,538,939,050,289,075,132,473,343,763,384,313,474,997,736,993,758,914,
980,663,578,537,813,973,480,057,643,189,060,638,252,213,659,283,195,664,523,
662,074,624,117,555,729,790,611,395,692,987,325,051,532,312,126,531,741,201,
064,682,491,682,286,169,113,951,559,836,188,644,639,791,214,471,270,769,887,
976,904,656,001,990,291,785,523,147,529,451,418,652,119,389,727,339,689,529,
660,435,510,729,692,952,853,843,538,911,807,111,981,741,182,951,905,479,322,
662,901,598,214,837,522,463,600,813,298,754,535,020,773,754,307,890,916,575,
345,024,011,483,992,343,207,646,053,325,205,847,165,043,625,882,418,868,759,
729,309,541,655,556,038,279,056,233,189,166,160,590,188,751,736,033,485,272,
256,552,470,841,796,028,483,150,616,757,701,171,234,700,935,633,391,039,613,
628,144,523,791,442,856,945,675,073,575,294,287,303,083,742,182,736,043,914,
219,986,010,453,144,641,914,380,060,157,293,846,300,132,847,237,855,837,373,
731,012,916,373,787,850,130,637,573,834,841,569,239,711,840,310,394,690,227,
085,001,878,329,674,899,610,137,623,343,905,170,540,639,538,468,480,074,039,
950,423,135,167,301,321,407,198,177,855,320,026,719,029,703,135,148,794,744,
246,129,880,897,998,178,080,285,504,945,030,651,990,665,277,159,174,137,406,
711,079,303,269,840,917,238,809,837,214,455,332,853,938,343,296,027,477,786,
501,531,950,690,927,363,742,233,940,098,728,466,786,188,244,326,282,552,322,
886,745,650,282,512,734,068,836,282,187,417,848,255,693,147,983,014,221,076,
994,188,720,840,332,924,726,131,220,761,251,805,897,216,517,703,937,531,280,
302,819,527,263,010,446,860,433,561,892,534,682,831,485,482,443,377,984,601,
147,175,595,081,728,947,108,080,599,103,407,818,352,837,907,117,409,788,879,
400,185,460,245,594,990,943,261,131,168,671,944,379,309,289,809,599,388,062,
808,820,123,195,429,090,873,548,614,234,703,246,470,396,845,860,279,110,865,
087,200,127,569,738,859,980,909,161,928,873,145,806,780,643,746,051,547,452,
030,924,373,265,871,991,726,022,505,815,556,884,152,254,225,863,481,128,423,
760,655,050,132,526,577,632,357,838,536,253,411,147,226,859,008,644,662,419,
515,550,717,436,103,332,046,638,671,899,782,366,950,657,699,539,267,677,957,
999,842,971,329,626,033,843,782,086,277,661,196,039,777,697,502,596,768,555,
200,221,178,285,423,970,894,284,774,750,045,452,539,453,989,876,278,994,473,
015,270,583,549,415,444,864,288,489,799,788,650,326,079,706,524,346,043,814,
375,873,327,760,324,321,534,339,497,543,416,442,978,498,227,232,748,816,139,
398,459,228,353,527,717,499,676,204,213,444,085,240,883,412,447,763,854,233,
415,879,118,490,761,888,703,829,118,781,530,446,788,397,424,354,044,584,863,
245,224,977,460,632,453,111,111,111,955,600,163,759,226,965,033,898,320,418,
748,786,597,268,776,993,522,342,962,986,630,231,513,249,430,230,342,567,608,
671,965,876,502,272,191,505,415,113,750,516,592,999,967,394,581,961,833,872,
155,043,484,068,761,166,975,221,584,992,779,122,008,144,319,681,860,909,122,
303,944,421,293,220,662,582,984,169,926,990,840,514,729,091,155,694,365,643,
509,969,056,702,205,786,485,461,916,849,062,943,962,488,228,434,593,891,186,
687,487,426,182,369,994,297,118,105,686,225,240,526,942,140,608,198,699,584,
039,986,786,699,028,338,149,353,838,089,427,395,389,237,784,026,082,268,331,
269,113,492,166,211,564,416,981,259,105,735,135,146,225,919,122,521,362,989,
504,428,432,139,552,590,638,004,466,033,710,780,816,571,328,623,712,485,363,
781,066,668,997,789,319,159,794,675,797,455,635,440,641,445,501,889,807,948,
302,351,043,949,100,858,695,559,059,689,173,887,337,952,174,215,918,454,287,
455,315,914,016,290,658,227,873,269,134,248,234,046,044,475,952,404,711,980,
628,215,459,481,262,122,533,775,258,017,093,323,200,023,575,091,942,464,911,
465,262,680,209,494,451,041,525,214,818,132,468,593,933,536,318,561,401,476,
188,554,605,222,234,987,515,083,793,451,586,785,370,910,390,003,585,601,011,
697,323,678,405,601,669,024,566,302,254,168,951,518,432,564,495,417,965,475,
082,473,769,044,201,667,117,141,030,312,549,179,226,842,221,414,077,922,403,
728,092,350,785,553,027,545,665,318,363,349,778,875,101,216,438,474,875,721,
591,355,665,833,363,837,456,733,379,519,553,646,761,326,005,669,759,702,747,
870,346,026,550,861,386,018,446,758,949,135,011,326,148,208,135,417,972,860,
588,836,961,369,936,390,179,381,877,485,037,981,629,065,329,437,024,198,866,
233,390,974,083,161,820,340,299,914,162,333,657,948,099,995,153,919,423,589,
811,705,685,117,980,765,331,406,946,587,879,303,431,021,239,632,051,253,218,
749,324,991,407,869,062,159,342,254,812,039,527,732,365,358,925,862,665,402,
940,190,461,132,172,624,818,449,650,834,865,274,204,016,566,150,920,356,051,
763,731,498,169,897,677,544,353,144,933,816,288,545,672,724,003,818,873,353,
778,937,779,940,839,088,929,620,671,738,271,540,203,239,381,552,454,834,724,
695,403,555,394,846,769,003,522,972,291,709,225,680,310,631,162,643,395,111,
285,140,124,069,854,979,606,592,109,934,379,542,718,712,074,775,556,640,968,
903,954,516,928,105,664,527,936,896,122,313,927,866,510,023,921,026,478,699,
989,760,677,991,793,864,429,274,686,165,338,144,612,001,590,890,452,101,446,
001,514,122,620,872,986,970,509,752,392,590,151,549,614,355,965,947,417,267,
149,012,399,179,073,720,670,314,844,927,650,305,691,675,834,261,219,764,552,
339,611,007,534,770,545,926,478,305,860,913,922,417,669,818,812,451,827,042,
954,657,554,672,000,598,324,074,338,910,309,254,751,952,218,012,055,077,921,
349,718,170,255,485,794,048,646,157,508,650,202,219,622,067,881,309,822,722,
096,996,535,189,583,245,084,129,863,904,892,670,804,127,693,138,800,281,423,
471,881,039,224,298,547,131,579,663,195,992,600,100,344,502,062,489,472,014,
151,098,787,734,913,080,211,664,288,352,776,364,119,063,214,042,634,089,961,
226,592,121,941,095,055,207,448,021,817,652,477,607,696,264,469,732,215,946,
817,509,129,750,417,727,653,292,959,871,365,089,077,728,421,383,353,175,028,
561,273,514,700,523,543,201,532,891,407,476,248,045,185,654,070,673,856,318,
375,754,963,094,077,770,167,004,782,545,097,263,144,517,063,845,887,485,394,
379,437,390,313,741,641,735,434,271,174,415,175,624,714,713,270,591,950,506,
318,089,951,206,158,003,035,088,666,546,448,910,800,840,038,497,461,660,459,
610,368,270,113,407,698,672,442,824,849,906,486,016,918,402,732,730,692,143,
803,621,129,241,171,193,414,554,500,151,337,167,888,408,662,817,761,171,303,
026,271,266,668,029,757,938,693,299,874,884,409,683,321,967,762,328,860,917,
244,735,495,948,418,650,098,440,836,616,611,350,030,641,153,671,682,381,684,
439,582,932,279,286,290,613,347,425,327,484,767,735,529,518,519,176,753,025,
767,717,999,089,516,310,147,733,963,668,676,482,546,651,432,682,838,703,513,
945,099,632,173,456,005,257,543,031,918,928,481,400,579,039,013,524,003,450,
870,840,865,185,170,961,596,348,653,906,764,518,559,555,219,202,645,268,847,
598,183,536,161,174,182,203,056,435,391,155,884,021,516,023,349,281,363,852,
567,194,817,235,725,269,219,690,795,126,173,521,718,495,234,322,099,449,829,
223,617,296,156,318,283,810,794,765,194,495,895,905,879,361,239,294,177,956,
850,850,385,147,919,582,137,874,581,860,878,807,190,465,819,738,475,272,521,
921,134,371,623,939,945,871,654,770,889,538,289,934,131,312,022,963,609,165,
019,266,049,702,633,074,841,797,090,576,732,245,239,841,090,609,086,666,910,
612,420,011,451,163,560,382,777,330,607,622,113,707,723,029,864,568,164,823,
509,589,462,199,587,928,760,320,544,873,515,498,451,961,477,206,808,982,460,
648,367,668,535,749,076,396,161,501,002,635,846,461,510,880,864,915,225,859,
672,570,388,866,285,017,899,536,942,240,787,874,651,851,914,573,044,745,803,
772,984,534,653,750,817,124,914,226,421,162,004,574,078,250,942,010,939,715,
268,284,149,793,530,260,918,087,281,207,435,138,835,729,473,390,993,719,163,
836,328,154,409,809,362,088,837,899,921,621,972,849,966,186,411,717,832,118,
408,345,286,176,659,008,023,003,939,657,637,571,793,924,893,352,996,038,203,
195,523,388,986,188,786,547,172,931,220,070,446,512,713,222,296,789,753,672,
908,874,812,373,438,065,151,804,331,470,561,204,832,466,551,536,872,394,133,
087,524,568,099,286,723,573,551,964,180,748,672,875,641,604,939,408,522,880,
163,410,497,287,811,045,081,009,597,241,728,981,026,640,416,937,200,746,982,
803,275,574,532,359,471,980,392,697,444,071,443,254,031,319,040,797,012,518,
521,045,308,862,470,476,397,091,047,226,640,689,029,122,147,358,325,992,408,
949,609,907,518,332,435,702,767,732,201,794,469,175,229,753,747,920,134,241,
313,662,113,555,255,508,032,033,459,894,212,361,471,794,887,048,776,153,916,
639,546,695,545,319,046,284,597,528,296,462,551,880,718,705,660,748,277,956,
401,237,479,183,063,889,845,347,514,919,769,574,010,287,682,238,715,149,941,
413,086,820,128,839,978,813,075,266,490,157,681,811,516,026,875,821,026,361,
086,497,822,884,853,310,177,900,448,508,348,211,957,416,268,861,344,853,428,
745,356,757,254,568,609,397,081,144,636,897,540,993,536,001,951,569,175,138,
826,709,544,713,375,711,463,875,341,765,039,272,941,743,242,969,764,843,227,
581,355,539,362,560,072,298,273,361,158,989,872,209,345,848,252,805,388,319,
035,513,152,483,459,270,658,809,578,555,257,080,021,601,086,669,359,650,159,
279,201,489,143,888,777,096,183,893,838,613,410,485,404,637,013,465,855,331,
756,645,634,324,491,448,094,332,369,380,327,717,043,747,902,115,002,277,972,
260,932,568,004,878,140,354,156,430,046,996,409,786,118,947,587,335,383,831,
627,072,965,865,972,588,478,644,586,006,369,059,228,569,341,051,512,635,121,
509,071,982,311,565,454,549,281,264,310,701,656,118,446,509,297,613,480,539,
982,131,651,643,032,143,904,934,237,138,659,099,890,385,727,434,010,087,514,
043,999,720,689,038,354,575,833,624,647,528,912,815,336,300,392,007,892,802,
278,391,025,348,450,764,158,244,411,903,172,526,710,296,642,802,949,370,377,
165,482,081,299,968,455,590,657,186,623,613,976,738,595,295,396,725,594,636,
232,086,785,696,640,590,493,901,908,255,215,710,095,132,593,422,054,952,336,
164,881,711,599,379,903,824,426,539,150,744,168,368,903,910,740,869,006,215,
290,058,694,584,746,800,468,161,529,521,865,579,026,608,502,904,195,073,661,
781,269,379,351,256,046,843,436,234,158,673,634,069,844,604,802,635,471,020,
437,820,483,445,779,316,554,694,880,029,154,767,320,314,762,138,561,552,976,
219,434,380,307,627,568,916,714,397,890,202,014,514,888,136,436,652,924,217,
837,086,495,784,559,770,942,178,679,128,659,303,330,381,138,969,532,211,151,
936,775,143,664,245,167,149,876,401,213,486,407,236,822,482,381,156,835,890,
885,874,883,200,301,539,104,772,338,294,288,108,628,632,809,241,976,481,758,
281,233,969,262,374,220,396,057,667,852,457,544,901,659,499,779,753,792,328,
966,415,737,587,648,134,485,445,631,664,626,511,897,862,923,054,879,279,191,
951,891,878,285,604,195,908,796,312,419,564,890,994,745,352,423,466,890,609,
004,771,077,626,452,373,765,712,244,754,762,783,974,303,026,529,240,846,830,
275,328,994,781,024,579,364,879,960,923,360,552,300,903,919,528,553,862,724,
241,073,602,991,034,981,491,361,842,411,391,907,685,481,258,691,579,845,552,
628,571,555,012,379,430,543,253,677,219,728,676,724,153,900,609,807,900,531,
398,599,690,939,472,163,754,085,980,517,808,450,188,984,384,879,625,853,491,
034,293,923,286,333,619,907,405,430,638,399,557,225,553,041,529,357,981,282,
556,776,342,111,012,526,390,004,969,682,685,571,641,458,100,375,135,332,974,
405,819,699,826,643,905,263,923,460,434,908,933,278,552,342,349,961,055,518,
700,328,464,086,956,704,382,405,793,692,707,353,518,472,214,950,306,945,624,
093,499,601,561,000,093,008,317,856,256,079,225,144,310,473,594,056,268,806,
173,303,395,970,305,587,484,360,435,318,399,753,733,304,800,344,472,527,099,
581,819,797,757,272,886,771,321,805,857,299,115,196,835,500,886,035,237,522,
970,565,764,846,979,337,552,961,115,224,983,510,956,985,559,717,401,603,689,
197,471,280,584,379,362,963,607,732,356,551,010,243,304,690,554,961,719,139,
839,583,231,934,001,678,663,788,447,661,806,129,084,045,771,229,575,762,103,
067,010,747,892,780,454,761,612,624,638,824,446,732,807,018,209,094,346,838,
645,423,069,854,802,113,562,835,418,174,343,251,504,696,989,458,695,758,537,
757,967,158,364,410,660,183,760,095,210,867,683,132,695,149,836,350,456,609,
405,276,436,203,569,934,918,629,103,428,665,011,909,443,085,518,585,956,304,
745,040,850,432,334,758,083,087,820,783,798,234,812,299,540,612,118,984,873,
314,604,233,278,619,837,546,668,085,775,338,251,410,704,587,076,876,967,363,
584,334,408,480,196,228,886,857,321,266,279,632,262,634,314,214,346,500,827,
233,321,713,153,880,004,792,986,668,248,083,078,896,185,086,703,965,562,917,
016,645,213,721,155,622,598,144,019,264,909,853,472,814,456,811,734,891,952,
186,563,032,852,623,067,178,451,763,685,774,826,961,208,904,645,418,278,936,
546,509,907,791,937,195,413,623,063,742,314,267,183,752,708,021,248,357,789,
732,814,669,504,624,151,309,796,733,948,573,861,592,934,877,992,383,011,083,
351,498,366,305,972,810,105,585,899,718,319,532,153,866,832,010,180,075,079,
462,355,151,796,012,368,707,050,895,792,834,007,961,173,398,257,905,789,960,
188,132,513,465,499,462,502,673,150,608,064,082,755,688,574,790,764,753,984,
598,616,933,318,321,099,443,254,243,742,667,495,279,762,756,305,421,119,318,
147,623,330,836,204,746,882,486,441,935,812,726,263,729,684,444,841,819,268,
043,271,307,137,416,060,496,340,936,240,589,587,138,187,122,484,583,561,122,
401,385,574,829,079,210,289,766,115,126,408,956,309,507,013,068,353,389,535,
634,735,797,042,518,315,395,559,191,562,136,641,828,876,261,195,675,648,923,
041,298,359,330,856,723,044,332,943,852,801,899,176,015,430,137,398,673,543,
501,826,597,790,706,903,662,670,237,355,487,957,015,281,795,062,921,023,769,
786,430,945,509,935,481,789,165,112,421,858,836,416,258,980,889,727,742,112,
508,122,178,533,025,424,452,793,675,399,342,398,064,137,138,693,020,461,069,
377,000,954,890,258,685,301,091,675,928,746,666,231,855,106,752,217,849,655,
045,408,643,839,167,813,183,883,338,281,546,831,963,327,759,951,455,497,834,
500,919,667,827,104,294,531,405,443,484,137,263,656,449,337,769,736,488,919,
680,093,117,701,596,554,054,812,459,432,582,746,192,885,470,868,360,511,636,
005,721,845,667,810,225,731,282,792,181,131,461,638,625,574,776,937,328,752,
648,367,445,514,811,304,451,127,093,520,218,905,677,645,542,057,655,384,312,
918,222,308,910,482,469,271,227,257,806,934,871,256,880,730,469,596,768,207,
440,139,422,249,600,783,444,150,086,688,306,468,916,184,245,489,908,314,285,
481,457,062,042,458,716,214,819,072,244,700,165,535,832,248,727,043,155,550,
490,297,571,713,088,815,644,371,828,876,216,448,764,662,104,162,664,792,171,
959,732,728,284,686,521,183,522,071,676,622,981,293,087,536,183,894,108,443,
435,947,166,168,495,977,399,396,588,560,291,611,140,281,314,080,527,697,896,
169,752,552,270,904,621,770,858,678,314,555,833,618,494,359,558,749,845,477,
837,285,288,750,633,608,243,132,196,299,012,327,627,049,781,380,717,082,695,
283,659,885,236,222,732,073,457,201,011,749,890,411,413,849,735,577,814,321,
024,884,590,994,891,305,779,914,213,748,794,954,314,422,513,757,983,868,997,
395,157,671,730,464,953,750,386,431,766,620,632,566,635,533,445,621,267,838,
823,792,278,411,335,155,436,653,363,801,648,216,900,852,268,798,213,463,431,
306,498,650,653,470,434,041,946,379,629,260,058,445,991,595,130,171,845,631,
115,045,616,651,341,052,385,577,431,214,229,377,428,166,201,171,306,239,531,
574,404,070,544,148,418,919,206,562,934,611,130,754,647,575,813,471,505,786,
981,826,863,751,088,234,157,820,226,586,227,705,402,726,375,773,321,443,779,
441,721,376,273,321,088,753,727,073,717,878,076,429,440,143,691,940,512,750,
246,390,966,356,893,324,327,939,238,062,845,668,330,573,102,360,817,691,946,
769,343,379,687,481,769,975,024,969,936,658,595,704,178,811,504,342,950,555,
185,130,054,675,876,206,266,796,850,209,300,475,542,312,752,037,403,743,137,
882,088,081,202,831,616,738,706,555,831,072,484,970,221,138,526,715,886,681,
765,213,312,500,428,912,893,536,259,492,767,059,028,257,465,392,909,559,885,
982,041,236,257,582,793,959,845,462,558,729,952,895,711,255,027,565,454,240,
495,382,639,341,264,264,054,458,120,838,293,959,461,136,182,906,283,284,833,
240,230,358,093,873,730,264,571,909,595,106,790,906,654,803,425,700,656,425,
676,248,463,943,252,775,637,540,866,665,831,946,452,986,950,209,871,378,180,
917,303,597,394,203,289,504,829,532,428,261,353,649,960,162,820,002,826,059,
044,541,521,480,452,592,071,653,695,900,189,168,769,882,361,887,028,462,994,
241,087,071,752,332,235,372,211,563,474,023,010,947,415,033,857,242,083,442,
978,507,026,004,328,843,886,761,590,486,915,054,168,844,499,514,509,730,401,
772,469,108,060,998,886,635,189,654,298,158,129,477,863,933,704,313,817,018,
129,784,555,741,591,758,294,614,842,004,080,110,744,148,652,186,415,521,893,
195,802,599,030,077,032,524,804,937,774,701,474,523,353,683,968,942,220,907,
567,902,212,371,532,702,598,922,537,459,661,424,962,552,996,385,365,795,266,
718,584,035,020,189,897,036,768,530,748,963,201,794,089,434,664,355,404,634,
423,180,692,915,168,886,421,601,744,557,180,400,906,448,715,386,562,331,871,
546,971,341,463,957,037,536,376,128,367,626,090,939,074,451,249,029,325,415,
872,671,890,001,591,874,585,415,683,176,803,993,947,327,463,265,120,234,633,
633,293,601,849,141,929,209,835,125,441,773,430,261,206,846,285,848,205,200,
782,267,753,135,631,326,797,675,320,731,038,823,060,129,381,137,257,544,261,
462,215,898,484,014,247,755,149,908,484,992,341,019,174,408,961,154,089,462,
364,719,904,926,450,407,574,564,031,476,940,033,955,081,954,952,939,344,872,
171,122,030,074,813,920,053,958,538,950,698,816,861,916,076,243,514,091,445,
084,271,410,324,599,558,324,861,820,007,132,179,394,584,128,378,206,314,006,
673,985,887,308,393,826,668,964,485,111,171,085,566,319,264,901,484,945,870,
031,182,691,791,989,015,978,095,183,235,093,941,098,467,019,456,868,717,846,
364,013,151,486,074,196,439,641,937,623,229,439,078,243,757,243,208,595,117,
402,951,002,814,539,180,441,627,909,122,713,625,961,866,552,228,521,359,747,
932,096,912,601,091,210,966,960,283,884,479,721,082,258,757,011,017,440,302,
822,901,026,612,620,349,682,091,578,515,248,510,597,502,847,913,070,948,379,
993,009,581,976,827,712,650,589,377,919,621,658,775,458,115,866,376,528,261,
928,426,842,711,548,329,538,173,352,424,734,408,214,172,952,458,559,521,559,
886,055,085,258,485,216,277,459,625,079,192,295,634,925,030,017,959,594,195,
143,140,956,720,203,164,972,888,909,347,464,590,735,990,785,417,388,578,900,
754,175,903,069,322,762,782,263,916,619,268,941,540,742,019,695,619,141,951,
979,681,387,010,314,801,142,033,925,026,385,318,454,910,088,050,753,582,419,
688,672,801,933,160,887,611,796,339,949,355,501,332,423,635,826,947,708,123,
409,966,317,839,757,763,202,466,264,962,891,532,756,724,853,236,300,744,082,
690,906,768,329,820,369,487,611,894,684,685,515,632,163,738,258,515,481,153,
192,527,811,616,797,935,585,859,753,643,845,207,097,669,787,349,697,844,226,
069,457,029,471,662,652,493,232,748,400,200,799,536,343,543,808,252,364,575,
027,031,933,713,744,747,786,712,224,998,578,687,300,306,541,444,451,416,429,
052,187,986,406,951,878,765,888,334,113,539,676,691,705,762,184,695,459,829,
458,522,728,175,876,411,531,385,412,135,051,741,477,905,742,073,763,533,420,
569,394,173,184,685,380,306,025,660,169,722,658,162,909,240,849,362,192,564,
437,747,115,543,447,702,626,023,413,006,598,203,508,436,010,668,584,102,332,
927,527,703,740,285,687,629,303,789,458,462,113,624,237,803,014,472,548,941,
670,360,361,059,726,500,279,077,358,409,060,265,488,171,340,212,880,495,748,
710,916,345,537,328,990,642,687,092,920,667,071,797,179,994,647,264,316,800,
827,422,789,163,747,214,469,141,889,996,763,086,018,351,360,738,702,116,622,
613,769,047,661,742,292,957,392,823,799,642,644,079,496,970,657,710,680,039,
202,119,696,535,899,473,101,161,798,423,000,466,352,279,816,215,189,667,461,
068,914,573,183,857,571,093,765,780,792,071,695,503,074,990,348,457,274,442,
351,236,902,927,822,782,087,612,428,623,430,977,921,725,292,431,613,617,999,
971,787,109,623,378,218,448,829,895,841,611,628,175,101,139,289,098,444,351,
932,773,076,196,216,577,813,400,446,149,032,037,694,371,515,653,598,582,832,
203,491,039,542,552,837,220,477,605,846,951,167,157,194,815,038,906,422,843,
338,805,566,882,815,904,703,790,511,553,215,385,268,239,507,535,382,704,111,
741,246,227,135,831,761,811,802,887,852,352,312,611,615,746,717,835,651,178,
551,127,150,535,124,814,611,894,238,786,883,127,224,791,201,673,250,969,795,
749,334,209,756,942,235,968,466,462,887,462,294,790,529,382,836,163,157,563,
742,721,310,651,267,070,642,806,930,947,975,252,648,247,386,354,197,907,116,
314,870,004,602,174,843,845,533,089,591,440,818,215,666,318,366,872,766,901,
932,366,870,576,692,927,334,371,880,098,028,868,637,571,824,189,956,760,344,
496,682,207,806,068,377,268,499,976,383,257,475,665,813,830,519,897,674,573,
828,408,827,241,672,041,942,901,266,371,394,189,072,817,064,456,509,628,407,
070,973,931,431,586,681,378,526,849,248,513,106,707,787,213,291,001,218,342,
245,330,890,241,666,626,195,048,677,339,547,527,679,035,956,608,792,294,075,
747,755,915,944,564,126,570,676,693,764,934,983,048,596,657,820,512,913,263,
827,773,233,275,939,571,505,179,747,393,305,427,713,633,294,043,286,637,625,
126,902,720,815,418,852,775,602,040,359,087,993,467,126,347,166,912,831,642,
548,669,955,397,862,677,334,229,942,730,212,497,235,979,157,106,609,717,660,
193,006,427,596,543,501,235,992,652,374,600,992,919,424,050,109,344,353,468,
894,508,919,749,475,427,245,100,239,107,815,711,359,433,504,002,925,652,144,
661,896,263,623,115,595,989,668,187,798,221,180,195,679,751,238,748,698,030,
597,285,831,269,144,230,329,836,979,455,939,858,426,592,216,804,069,990,194,
019,242,573,291,867,437,946,974,150,986,317,125,423,674,447,086,879,594,963,
506,459,747,418,276,355,678,351,990,371,844,757,891,090,864,304,912,036,514,
993,430,039,083,348,039,971,903,017,457,748,815,685,185,724,239,566,067,573,
118,158,953,461,124,997,317,982,360,739,623,688,083,054,187,024,130,414,491,
489,681,631,707,325,125,307,047,386,844,947,650,220,612,998,715,962,124,528,
369,662,152,774,028,166,217,960,399,558,324,758,192,604,665,268,581,131,733,
238,466,701,004,799,294,388,875,250,538,877,189,160,686,406,511,055,770,296,
558,119,276,989,436,680,816,976,422,503,070,327,757,415,226,384,798,403,959,
004,981,377,962,660,970,090,003,975,722,225,039,961,113,115,999,110,394,735,
545,825,537,208,846,682,100,460,800,688,744,741,445,337,888,295,239,965,698,
196,989,050,231,666,546,069,570,924,892,008,659,752,029,375,439,801,184,527,
079,281,739,898,989,156,682,650,803,143,921,744,864,885,864,352,223,217,110,
523,268,437,685,902,198,816,612,436,764,434,970,684,470,681,291,560,817,902,
900,842,555,618,834,279,315,360,667,289,290,783,455,541,058,754,618,902,917,
423,455,844,292,079,390,128,173,976,587,854,438,841,603,722,753,916,069,626,
975,101,622,937,452,780,926,192,978,052,821,196,393,486,085,772,978,252,233,
085,909,599,590,636,812,756,870,442,304,024,979,576,943,754,753,107,900,158,
924,364,216,804,019,894,958,622,201,764,728,602,159,143,710,427,886,008,467,
377,594,149,922,902,798,254,920,992,514,220,403,529,048,968,126,291,934,999,
396,490,446,670,739,976,277,778,436,640,378,123,062,276,876,176,475,914,041,
233,882,713,231,593,696,347,781,021,357,603,976,368,634,427,672,778,588,830,
189,419,227,668,314,798,881,339,251,979,714,981,681,422,171,255,541,707,073,
502,992,432,289,217,845,530,290,313,383,719,260,934,341,002,392,943,788,181,
488,785,187,120,719,085,218,148,114,287,315,713,810,876,497,216,377,325,776,
754,368,471,072,001,126,221,353,192,757,968,808,138,448,999,526,638,070,949,
275,922,774,250,134,035,564,864,811,984,371,465,124,531,658,629,560,382,407,
786,166,640,044,490,254,677,911,738,835,934,702,788,472,545,942,648,900,016,
691,223,300,320,939,124,042,257,497,190,293,230,145,032,743,093,923,866,595,
864,251,222,252,439,926,753,782,151,650,974,655,140,644,843,193,261,034,300,
766,354,598,180,565,829,754,852,437,817,384,755,331,354,175,390,685,246,369,
122,788,007,868,125,502,863,489,169,256,823,811,424,906,733,067,350,953,935,
701,716,774,512,243,857,656,865,432,507,727,508,287,925,962,120,725,804,704,
907,429,703,622,447,925,206,976,203,816,376,552,630,854,797,031,460,927,768,
361,013,083,566,658,635,710,537,252,454,938,007,676,002,860,781,045,453,958,
300,246,087,236,995,416,229,611,920,153,188,655,010,435,730,294,031,768,464,
932,686,167,827,058,107,013,694,791,471,061,030,389,559,869,508,209,742,594,
051,633,455,693,591,100,552,687,387,729,076,825,077,754,107,320,937,925,770,
353,591,444,623,494,397,142,470,110,193,107,334,561,924,038,298,403,677,031,
390,912,098,210,408,225,563,211,515,015,334,390,458,327,212,857,294,804,097,
723,809,728,918,040,815,977,352,850,277,480,883,993,681,663,784,626,048,034,
304,503,880,199,645,904,808,262,708,825,176,283,198,972,155,741,739,173,811,
409,277,811,347,509,796,169,328,953,546,687,940,743,172,619,579,018,808,370,
028,834,970,161,692,148,247,963,108,029,774,291,562,785,786,893,890,495,386,
124,749,049,775,278,861,040,431,620,717,225,587,522,222,022,633,483,841,571,
262,883,964,259,448,247,110,280,873,282,591,326,023,593,014,935,623,915,752,
368,765,851,911,724,168,764,490,802,173,196,215,740,210,276,735,143,619,392,
456,624,007,973,469,981,975,341,016,134,012,586,192,542,381,096,693,768,386,
215,214,201,025,605,627,315,701,332,128,647,348,015,187,732,077,510,171,542,
799,687,085,220,808,884,759,150,723,687,421,412,951,502,855,490,075,473,466,
548,855,558,747,028,071,980,944,454,951,580,533,018,793,707,864,035,252,884,
353,577,326,754,969,769,960,517,229,215,544,048,760,390,424,840,611,391,018,
063,592,074,029,357,162,589,924,751,022,309,508,005,984,653,023,682,711,846,
902,166,534,608,480,853,864,356,024,315,984,676,789,815,171,874,243,207,548,
857,595,895,735,056,451,456,443,225,091,845,102,110,863,991,272,543,908,396,
007,474,278,852,957,653,633,932,818,401,885,534,374,667,112,424,672,054,935,
019,755,196,269,488,252,901,001,289,650,830,447,721,458,721,980,447,439,393,
289,651,468,577,190,254,214,098,642,687,229,734,988,115,108,004,167,052,571,
275,093,790,664,487,671,538,431,601,548,599,965,827,946,956,645,373,939,383,
575,170,082,990,918,518,835,983,606,403,863,476,460,250,532,922,763,348,625,
487,926,239,714,879,936,004,141,815,946,684,417,951,766,834,707,257,594,184,
689,694,879,641,455,081,224,317,847,538,742,597,280,392,173,750,055,322,939,
888,167,757,160,278,710,745,806,538,872,247,346,703,775,157,123,249,555,028,
149,454,352,581,223,366,668,648,392,650,191,619,594,015,118,283,496,960,299,
416,892,863,369,803,774,466,760,881,953,509,682,167,649,935,458,712,580,279,
642,070,458,942,956,931,870,501,794,898,129,645,551,120,812,744,199,806,895,
637,700,822,114,354,523,509,997,008,151,786,807,102,809,108,298,444,252,786,
039,892,200,586,902,388,299,282,296,533,031,089,183,076,578,556,569,055,639,
847,171,833,274,436,612,959,734,161,446,541,751,986,809,833,021,672,761,452,
811,529,447,417,338,479,650,004,208,137,440,660,429,410,558,914,815,588,536,
076,054,903,684,553,319,001,180,772,004,061,458,876,250,990,942,289,930,900,
740,419,711,286,107,341,237,201,732,511,293,053,223,384,940,967,411,900,804,
470,869,396,969,240,589,534,817,246,421,830,013,760,327,082,299,446,987,833,
770,791,007,304,400,490,739,361,207,987,011,587,347,869,267,857,169,648,646,
090,993,198,145,750,569,543,120,343,348,362,039,491,852,580,774,982,728,604,
472,822,158,083,631,274,961,499,264,439,884,085,943,188,409,991,810,608,514,
529,656,382,317,849,090,033,964,627,261,807,558,808,997,824,317,630,512,715,
335,042,169,243,174,996,501,644,011,668,229,295,476,553,412,236,380,380,848,
239,410,824,111,716,261,564,976,614,271,369,720,781,060,562,004,725,600,607,
988,280,752,055,717,263,275,715,493,020,524,229,176,250,137,049,459,288,866,
849,120,631,288,355,773,958,894,550,550,730,660,193,338,059,739,965,156,558,
965,421,188,003,187,144,934,212,367,330,079,510,447,471,441,735,440,039,930,
167,169,429,473,523,536,943,681,704,636,204,480,271,982,972,285,018,806,088,
327,975,567,729,492,894,944,982,951,116,309,800,642,663,082,652,119,345,522,
255,530,399,625,493,653,758,506,896,406,096,553,488,705,134,099,640,623,565,
672,158,182,507,128,664,222,416,101,556,712,699,009,701,461,493,620,442,066,
766,340,435,079,472,070,938,980,168,748,159,754,923,042,867,807,727,621,020,
412,933,192,278,847,157,441,927,388,486,341,384,791,672,997,481,311,745,448,
425,931,597,017,244,140,712,319,788,963,623,964,229,203,570,870,969,027,970,
543,284,405,611,156,260,494,539,485,723,517,441,834,934,846,373,241,320,971,
493,297,643,698,429,617,052,797,600,140,872,067,907,708,467,438,521,842,706,
044,927,670,520,600,653,178,226,330,745,351,324,131,689,835,165,685,972,799,
698,463,015,930,292,911,080,067,272,183,178,609,208,351,750,348,547,038,356,
715,168,507,611,341,793,204,170,382,428,726,106,692,810,869,780,901,992,878,
568,653,731,780,274,861,234,874,073,042,722,564,879,071,501,531,928,268,830,
386,976,601,287,393,676,571,134,542,127,559,383,007,864,995,532,006,795,602,
689,280,918,095,609,394,046,510,765,367,954,815,032,431,767,745,271,108,483,
443,183,937,624,506,942,017,393,897,373,235,502,146,183,698,280,383,342,866,
083,592,456,437,689,758,041,141,830,379,314,754,330,166,804,007,000,244,628,
315,472,793,034,782,697,098,409,242,401,899,565,270,443,898,465,036,001,135,
012,280,451,928,036,498,208,675,296,527,185,068,866,152,789,072,781,345,164,
433,268,846,706,990,176,760,866,768,672,198,983,908,360,988,133,218,943,431,
109,796,599,818,552,886,103,071,559,589,623,797,669,277,515,290,590,533,688,
977,755,221,629,678,561,644,724,126,823,693,813,099,400,597,054,262,834,755,
703,463,311,112,857,811,848,914,717,783,858,609,296,905,430,702,450,345,464,
609,768,056,861,033,248,480,539,038,695,543,532,720,599,406,761,266,402,542,
181,230,451,868,512,416,279,872,040,647,065,190,301,260,996,413,314,677,332,
658,448,866,304,821,664,000,642,675,994,690,234,412,106,326,729,570,059,941,
958,691,285,490,099,328,736,021,750,734,291,268,837,320,920,098,427,751,672,
058,509,220,834,429,547,470,116,428,404,387,105,407,706,258,434,435,485,141,
148,973,614,887,950,329,557,226,870,485,923,198,527,500,267,737,233,453,705,
844,873,735,444,245,643,743,480,105,141,119,067,284,684,551,876,416,875,222,
255,797,231,981,244,870,810,695,147,738,856,322,365,446,582,992,126,331,298,
477,339,561,722,113,255,617,065,966,612,620,910,912,894,871,284,281,965,935,
923,856,498,594,235,914,582,155,227,856,504,864,572,111,073,193,062,601,153,
247,413,535,908,436,151,795,774,702,388,626,277,680,546,143,475,839,329,159,
948,949,459,490,545,367,097,242,978,011,382,382,715,205,941,202,509,539,835,
947,046,887,923,746,811,416,599,147,282,084,736,475,184,793,955,838,477,181,
464,023,902,144,163,835,675,367,504,143,409,779,682,815,466,879,071,796,346,
824,655,895,499,301,378,172,412,756,469,707,821,048,936,462,391,749,283,824,
521,224,328,357,780,572,788,334,725,966,894,863,753,433,788,602,659,128,370,
387,473,205,946,197,806,627,414,368,423,708,746,175,796,695,410,076,709,833,
202,890,776,695,575,707,058,979,171,260,505,888,799,866,706,000,063,643,228,
214,771,731,088,071,635,187,625,814,086,643,778,373,538,603,858,735,619,378,
967,105,214,977,161,180,349,153,601,826,339,424,080,026,313,408,782,806,168,
873,599,474,266,302,261,290,648,813,076,740,748,685,684,087,139,199,818,262,
298,373,677,925,551,331,075,546,610,185,564,427,224,243,119,500,067,935,839,
535,778,542,501,678,376,948,381,609,247,067,727,435,274,368,632,815,850,238,
898,141,165,619,799,225,675,581,726,651,020,309,164,399,753,180,001,817,073,
697,765,141,670,765,904,849,016,533,614,991,614,727,162,438,662,148,225,915,
782,797,635,100,917,432,836,118,985,740,322,061,219,873,040,257,762,023,514,
541,811,121,654,628,134,064,994,509,793,159,539,395,452,355,291,523,436,297,
933,637,976,780,846,938,591,625,113,874,970,081,478,492,729,729,182,805,692,
357,790,842,774,871,739,703,190,227,525,562,522,106,994,438,661,044,684,482,
289,278,051,129,832,868,250,976,831,692,301,727,317,065,410,609,281,423,139,
212,727,931,600,353,181,080,123,653,575,484,779,091,251,868,842,221,466,200,
667,347,994,022,546,021,443,715,618,729,044,146,404,849,128,529,365,445,316,
030,020,949,178,859,742,957,189,883,829,244,272,582,952,244,461,341,384,486,
386,570,924,139,351,360,813,425,912,608,071,451,428,298,274,087,359,721,180,
595,749,216,508,678,820,214,383,817,200,651,947,553,534,170,361,389,804,814,
825,196,958,758,107,654,998,928,371,562,615,983,421,707,694,778,164,666,265,
569,357,159,272,894,233,704,414,381,027,345,174,093,108,933,507,602,645,586,
876,609,361,385,929,254,146,367,799,576,432,745,195,952,033,849,114,091,131,
228,054,427,554,934,433,807,597,202,310,040,956,785,050,028,274,542,377,730,
128,746,767,431,077,587,987,950,612,788,237,769,951,445,133,316,489,003,974,
225,180,825,443,504,357,472,389,149,224,222,483,802,498,775,417,002,482,516,
222,642,249,119,523,308,749,199,086,856,151,934,422,037,856,326,994,413,793,
898,213,909,218,337,123,126,327,818,188,029,898,733,683,141,679,412,783,057,
943,724,880,963,781,805,634,198,219,348,645,994,691,733,424,821,877,911,088,
834,973,033,223,413,849,810,552,627,070,631,256,819,441,645,415,769,409,222,
293,723,956,658,352,798,481,243,945,775,070,474,588,185,742,964,598,646,303,
414,053,889,363,772,815,523,986,820,242,598,294,185,382,205,445,664,988,573,
874,537,708,119,404,656,710,520,207,293,337,301,566,762,693,197,311,316,556,
196,321,645,328,108,590,082,671,111,667,334,600,866,489,849,348,640,160,033,
231,921,931,178,151,701,642,673,773,878,876,484,361,546,052,232,520,831,914,
173,438,280,604,255,651,616,088,801,205,415,650,537,444,781,352,244,486,544,
480,782,775,034,425,260,838,181,108,766,453,184,989,307,942,760,158,562,663,
540,200,392,395,800,496,742,141,380,708,788,218,116,652,169,390,562,809,217,
091,296,631,637,974,600,470,831,038,613,536,069,476,423,529,368,608,400,066,
277,693,202,753,451,879,441,650,444,280,733,249,875,248,831,960,019,013,746,
037,802,938,962,658,126,150,694,294,823,642,278,797,423,954,415,282,797,550,
411,683,410,357,450,841,721,691,098,724,410,042,837,892,091,093,881,073,415,
749,842,160,581,729,855,125,357,731,452,598,986,939,530,144,781,280,550,737,
483,468,932,620,606,057,767,638,776,036,482,589,787,759,217,649,479,903,478,
964,168,769,421,288,317,805,405,558,035,259,012,308,732,575,231,682,812,237,
720,640,971,373,263,098,586,985,396,583,244,970,991,763,133,980,333,525,579,
087,400,383,247,719,732,317,238,479,027,391,710,016,373,079,929,379,715,374,
362,198,708,174,426,291,710,697,204,696,874,524,371,808,623,809,639,014,400,
262,514,209,504,110,809,314,744,472,766,029,234,250,987,536,825,356,771,025,
403,859,739,534,444,723,241,981,317,085,107,549,603,217,361,360,969,027,601,
638,601,678,875,698,032,107,962,813,357,241,795,611,308,693,270,652,850,698,
155,954,630,988,780,881,591,381,613,025,595,584,383,758,281,992,267,691,427,
700,018,283,229,659,889,299,607,588,486,986,819,793,123,607,356,304,693,175,
446,025,232,727,652,164,809,915,740,313,302,079,571,697,118,960,470,454,497,
455,343,906,446,481,082,397,896,230,195,716,932,783,007,111,789,817,859,028,
051,070,188,118,719,450,766,477,082,800,937,401,473,075,331,843,893,088,383,
994,104,948,276,983,222,035,528,254,190,361,157,835,678,312,720,176,052,183,
286,145,330,775,815,933,058,817,950,674,119,564,632,827,174,933,962,358,694,
903,271,992,665,949,219,504,102,536,076,948,952,716,881,522,647,361,261,171,
180,609,247,805,667,837,596,179,499,647,029,025,435,707,463,545,125,288,093,
880,128,589,385,079,138,686,259,086,651,934,674,600,889,837,297,332,658,099,
882,259,039,810,301,519,417,179,272,841,777,008,515,623,835,268,007,503,615,
663,038,663,921,995,535,912,613,299,147,445,113,725,639,788,881,059,581,502,
557,577,957,376,125,907,624,438,675,372,299,501,042,245,982,291,827,279,895,
074,067,163,141,471,364,401,385,113,385,828,111,429,001,703,823,525,315,113,
894,616,189,122,721,252,089,418,370,311,301,154,582,159,273,089,545,336,176,
479,572,243,381,306,551,519,382,494,152,811,120,232,818,464,099,111,974,802,
712,425,540,881,091,862,789,841,867,559,993,821,175,593,753,265,610,939,636,
836,864,014,384,568,946,235,187,137,357,779,916,517,156,025,741,235,058,661,
762,365,505,312,029,800,277,216,332,607,738,615,818,637,457,001,794,188,863,
754,670,494,513,656,633,795,640,716,559,986,414,258,874,970,215,535,197,446,
081,558,520,865,078,795,972,034,035,531,072,199,474,852,913,550,053,233,767,
550,381,521,649,153,849,293,589,445,980,914,937,964,341,322,449,202,530,881,
577,929,336,269,961,687,844,975,156,409,585,922,452,052,710,093,212,289,753,
999,976,220,093,646,114,774,761,106,059,826,736,916,785,620,773,205,844,179,
770,822,830,684,878,381,308,042,536,606,368,963,299,910,184,831,454,389,054,
831,982,912,711,773,148,610,410,686,020,356,507,782,138,806,435,897,531,213,
852,282,099,602,063,000,795,729,507,579,386,602,014,226,505,647,523,342,180,
442,178,201,128,305,484,378,767,516,043,721,029,176,453,866,737,476,977,450,
008,158,566,902,775,519,121,523,987,830,615,672,912,804,351,441,116,461,001,
245,113,015,686,954,741,073,338,562,246,617,345,638,922,125,021,394,186,526,
198,203,267,288,061,543,286,382,225,552,366,609,101,123,394,915,950,320,621,
877,749,082,228,671,171,349,793,684,923,391,809,808,412,656,007,368,402,804,
227,478,773,286,803,938,425,035,370,939,066,815,813,553,191,691,252,727,786,
485,913,872,990,909,527,676,470,968,681,692,803,254,678,695,623,949,158,592,
776,096,354,881,476,922,077,465,848,018,481,840,318,677,764,739,254,788,758,
885,561,419,966,659,410,831,507,344,188,872,832,352,035,444,945,824,501,902,
385,830,284,181,432,709,211,975,962,968,331,408,139,273,204,517,783,360,199,
702,926,504,167,196,929,510,114,910,914,143,348,933,168,488,295,630,877,823,
699,453,304,847,644,691,445,511,689,592,386,830,322,299,560,458,890,754,635,
791,983,507,823,902,023,800,869,077,614,942,498,171,899,133,206,073,311,283,
157,768,751,777,154,689,563,480,922,299,282,602,152,784,661,176,048,619,692,
799,897,529,171,323,038,098,743,136,111,443,867,321,581,663,330,768,981,747,
120,403,728,216,529,932,211,269,435,468,564,582,141,364,940,662,366,649,029,
917,770,100,566,685,269,117,327,794,217,097,216,242,838,693,708,316,484,294,
482,058,141,657,275,188,209,858,169,912,946,761,046,979,772,807,464,047,927,
615,066,560,537,151,555,176,735,406,723,787,586,769,603,098,192,562,810,303,
271,237,727,433,586,638,865,695,766,209,733,198,821,614,922,397,197,586,824,
384,908,849,327,137,064,455,901,810,810,858,820,084,169,288,296,977,244,177,
905,715,363,615,092,793,916,772,540,596,429,681,107,233,795,975,548,903,735,
947,925,002,161,098,375,774,824,131,889,929,892,284,039,576,753,226,707,036,
120,215,979,486,335,754,425,692,182,641,558,823,163,705,699,404,551,970,844,
478,102,402,337,071,264,970,192,198,888,146,722,253,514,585,224,905,978,407,
545,806,281,185,600,434,852,684,995,881,395,746,952,047,072,620,273,459,829,
665,395,946,762,031,904,387,263,983,214,592,117,391,378,543,531,694,520,870,
278,590,292,123,030,866,937,123,127,281,470,025,268,848,686,888,670,313,469,
004,109,828,796,610,734,440,318,269,804,405,517,054,208,454,672,426,586,436,
315,032,340,106,369,230,474,050,422,997,883,074,095,517,181,439,579,402,805,
738,981,744,902,918,353,526,579,150,690,847,005,678,486,048,316,130,794,227,
505,936,044,550,702,187,823,797,813,144,874,197,515,560,068,889,659,332,803,
524,533,461,925,952,888,593,500,850,461,394,125,983,818,123,743,834,078,457,
827,334,430,064,371,895,801,832,955,885,869,910,846,978,493,509,869,398,465,
110,419,782,827,968,128,436,444,527,543,455,431,362,220,308,881,361,906,069,
025,382,430,866,652,725,304,597,066,495,433,195,989,129,924,066,510,597,564,
513,801,411,702,624,600,351,501,163,777,387,185,891,964,434,456,533,173,428,
464,692,319,218,976,125,475,488,807,904,069,783,164,368,941,758,557,578,295,
304,372,426,171,180,761,730,098,857,168,385,375,324,795,373,915,951,223,976,
167,630,580,475,458,107,594,196,494,203,961,835,212,894,373,690,205,997,596,
042,828,345,220,173,832,553,335,575,771,775,699,806,746,073,865,318,880,171,
445,249,771,693,458,200,294,148,063,929,200,191,739,912,716,289,259,427,379,
214,715,716,350,160,478,654,406,036,222,298,740,159,141,846,566,324,159,191,
710,636,416,559,761,130,647,176,575,956,130,632,215,096,694,123,267,381,196,
489,675,692,606,955,305,021,873,394,988,710,012,648,658,627,455,008,784,397,
723,257,099,440,030,258,150,310,209,154,011,366,616,831,023,332,666,996,110,
865,594,461,107,273,163,723,825,950,888,218,180,500,170,600,860,101,625,818,
045,563,144,033,005,758,436,932,639,959,710,694,888,465,302,150,629,954,803,
186,667,024,711,802,329,621,246,537,468,795,579,479,888,773,819,306,263,810,
358,873,938,945,135,221,962,827,989,307,288,332,269,145,898,192,555,308,807,
481,317,755,686,770,309,864,921,283,686,493,269,561,796,611,839,675,782,728,
310,915,003,793,573,155,531,535,315,504,576,166,608,581,138,524,086,061,246,
151,505,232,484,987,911,209,154,276,292,761,365,098,927,345,244,397,779,261,
571,135,112,314,563,747,440,346,253,954,800,258,950,163,024,627,101,955,198,
525,651,466,930,853,463,643,348,779,471,920,597,349,636,251,666,065,659,243,
294,184,833,267,255,169,075,576,638,327,667,954,918,488,396,417,528,485,316,
582,787,556,933,948,961,826,336,165,493,168,273,706,652,803,595,734,002,833,
158,840,769,235,609,498,827,791,401,645,086,830,896,976,347,811,075,723,797,
951,360,641,848,089,754,430,804,328,963,993,169,911,488,580,456,011,989,018,
795,811,949,991,834,899,307,203,384,710,110,559,310,866,315,812,868,793,303,
974,670,009,302,659,267,672,710,009,897,857,436,470,206,673,270,470,468,625,
339,131,453,197,045,616,538,783,567,439,268,064,617,033,649,759,121,488,380,
710,963,930,652,845,707,165,205,793,803,700,460,434,158,683,420,890,308,248,
748,408,429,306,466,488,035,953,137,243,608,858,604,796,168,256,977,684,380,
277,316,063,757,888,815,505,917,155,347,248,249,517,126,330,424,649,589,236,
444,784,352,448,371,260,376,620,977,541,671,758,024,419,447,455,975,504,249,
355,710,312,545,238,399,731,578,334,599,809,166,459,939,809,436,521,375,513,
352,695,778,666,586,866,457,895,129,897,926,409,329,120,160,945,439,676,430,
458,427,246,530,245,498,343,762,640,724,423,373,896,158,310,975,349,129,313,
016,268,191,316,573,035,616,843,905,138,455,108,189,082,959,371,589,858,467,
754,577,562,399,588,923,448,429,201,244,276,043,389,734,513,186,396,241,483,
759,494,267,896,570,867,805,996,677,603,269,752,513,273,250,340,695,244,926,
878,287,117,840,320,849,388,617,240,337,420,315,238,491,581,802,252,848,098,
303,235,760,802,140,464,115,954,597,043,901,541,555,687,536,931,166,758,849,
067,468,691,315,710,811,180,990,892,177,520,471,315,036,361,619,673,239,492,
368,681,232,746,171,088,246,755,890,053,767,796,671,253,808,423,859,744,019,
551,459,198,168,417,435,660,626,998,138,761,517,063,514,836,621,770,069,610,
751,784,200,029,401,398,179,030,501,300,012,650,891,591,237,536,499,724,259,
788,956,223,209,727,083,880,935,908,985,273,379,151,608,487,567,376,933,819,
591,244,978,452,728,732,217,627,088,599,149,137,137,229,308,734,691,844,554,
408,696,748,997,835,664,024,936,374,620,258,443,099,991,845,758,142,567,299,
582,984,926,993,013,558,996,782,886,679,466,245,424,143,448,352,935,830,757,
782,627,763,699,824,045,117,331,791,934,255,451,518,566,081,606,694,576,256,
620,759,233,880,892,232,596,982,604,612,434,459,299,282,173,409,195,916,420,
789,312,278,518,333,867,875,130,505,546,846,289,362,065,689,587,118,833,618,
927,439,629,563,833,865,621,877,340,941,454,622,904,569,519,274,500,876,568,
837,718,284,137,510,298,366,375,233,632,135,100,441,654,609,838,714,921,351,
142,313,220,454,146,603,437,216,842,760,054,278,432,566,454,889,987,859,250,
852,116,428,080,150,087,132,687,626,051,512,111,139,675,082,501,177,298,282,
072,502,284,510,416,903,935,664,323,906,345,284,948,225,994,939,575,643,284,
506,090,985,619,767,944,030,795,722,517,625,521,714,719,467,742,113,755,662,
448,515,375,076,536,132,562,783,410,294,442,987,970,220,580,868,687,714,708,
233,087,400,586,758,974,021,818,975,438,158,066,394,263,349,901,606,235,058,
113,331,788,021,154,617,438,636,992,502,868,041,750,397,177,139,273,736,856,
738,195,647,372,570,804,766,679,185,160,213,553,239,081,192,460,229,607,933,
800,133,119,114,543,211,893,594,696,214,831,390,857,017,821,130,939,248,530,
154,206,246,075,284,108,300,461,099,154,320,033,183,214,486,142,204,791,079,
805,053,454,332,240,570,427,392,763,493,069,833,479,698,228,312,035,157,444,
538,769,851,048,916,924,933,658,758,077,177,035,408,160,928,203,383,379,135,
302,842,357,296,496,749,657,228,439,384,734,851,978,592,748,117,263,261,097,
486,641,633,527,490,882,988,797,269,481,658,170,609,818,348,877,068,524,972,
776,352,242,538,258,014,473,824,131,868,422,013,153,069,241,269,401,360,770,
418,778,244,423,247,949,755,600,513,133,227,453,377,009,751,436,550,236,966,
514,824,987,763,180,763,180,199,951,836,989,864,767,349,968,214,291,878,520,
211,337,180,312,339,463,528,148,287,809,157,471,125,869,402,429,651,631,873,
742,465,521,145,197,378,969,175,349,537,957,712,307,432,957,614,055,613,236,
493,862,239,198,076,795,497,726,343,922,067,215,412,737,395,328,109,499,370,
370,522,837,943,307,617,045,792,129,518,869,090,328,506,908,993,936,943,683,
707,505,067,665,961,183,624,459,895,699,709,824,494,877,209,213,971,656,234,
838,182,088,489,986,866,068,725,625,007,070,511,434,512,541,569,273,316,548,
261,967,782,787,735,316,183,445,029,478,116,651,563,911,623,886,648,069,500,
869,695,359,634,539,209,938,834,392,443,593,925,087,428,545,985,507,348,119,
750,619,761,292,188,727,124,693,740,359,161,856,466,333,899,301,812,342,714,
495,311,774,414,533,543,433,037,132,577,073,012,939,229,245,251,095,667,473,
987,467,330,291,091,175,548,489,726,563,695,892,118,759,547,986,992,560,871,
513,191,741,160,850,723,783,786,324,592,325,366,484,814,008,395,931,590,380,
676,439,436,839,262,345,797,994,599,066,397,444,977,521,410,188,552,356,614,
270,831,892,490,182,396,547,356,093,310,235,323,019,753,737,819,130,158,367,
701,420,275,773,513,054,553,586,719,167,998,941,707,480,218,846,220,577,968,
320,359,486,495,318,125,239,091,872,282,321,253,225,796,269,776,011,169,348,
762,467,060,681,585,593,639,095,971,775,378,061,535,296,313,367,955,226,050,
688,266,850,691,781,670,231,951,107,131,918,539,171,758,113,153,018,653,893,
614,760,734,864,924,157,638,603,856,746,477,014,407,704,005,387,296,852,183,
904,946,473,559,314,756,390,459,815,071,513,932,982,220,846,118,034,041,047,
103,769,909,366,529,220,570,117,027,677,920,935,867,311,504,605,297,276,971,
464,658,153,300,478,256,336,942,867,912,126,841,888,409,003,857,457,569,998,
580,577,647,406,048,697,107,890,523,248,248,458,264,042,587,149,467,676,221,
819,131,531,606,514,546,870,856,742,066,510,725,010,058,323,328,464,716,958,
806,147,391,504,425,417,033,639,951,177,783,386,599,755,801,616,843,711,791,
734,146,837,669,689,416,164,426,169,744,818,039,915,689,887,150,294,897,726,
785,003,358,098,242,324,786,019,640,089,366,022,350,378,621,633,873,000,036,
230,862,934,684,256,164,669,654,332,137,105,332,369,595,113,625,542,044,957,
510,755,682,466,569,231,644,974,637,150,547,425,894,441,139,932,872,795,942,
884,164,921,163,048,621,635,017,497,952,098,190,869,400,283,576,773,001,532,
102,587,838,420,461,994,231,792,261,772,920,820,520,470,901,693,248,567,371,
930,298,597,858,213,829,759,018,098,741,929,701,721,104,088,832,945,184,793,
044,813,412,982,384,292,097,739,851,191,902,942,346,845,387,255,779,520,064,
660,300,845,376,356,086,079,182,832,875,946,463,895,741,476,285,622,953,773,
385,380,370,595,587,802,065,067,204,006,730,436,967,889,916,160,242,864,272,
628,438,300,684,851,629,793,752,829,543,914,386,372,023,057,591,575,815,881,
787,333,884,706,842,463,158,007,548,733,460,026,181,409,963,186,394,928,747,
459,041,369,428,122,664,946,241,273,878,260,564,110,947,390,183,454,512,825,
586,175,185,708,611,957,515,035,157,012,659,661,777,572,333,959,060,158,499,
480,202,967,005,823,463,614,047,956,444,685,342,108,318,250,170,075,395,316,
077,073,282,067,145,411,486,409,753,188,505,910,968,998,740,613,810,073,654,
955,973,372,056,780,277,334,218,165,589,382,628,761,696,709,512,679,148,688,
082,842,033,728,066,381,367,522,415,870,075,799,173,216,568,986,180,211,622,
874,404,816,837,274,294,870,591,141,043,595,919,731,101,361,948,824,018,195,
140,237,414,352,980,436,400,803,826,046,019,462,720,295,851,142,023,999,231,
023,943,837,481,975,297,941,067,860,362,392,972,607,472,511,279,981,700,844,
007,319,308,638,552,786,614,861,328,611,760,588,014,035,817,736,351,192,044,
044,621,730,618,966,739,330,775,004,377,241,681,037,843,512,069,123,893,956,
225,594,863,399,657,104,554,978,200,440,868,665,548,057,025,485,923,475,450,
293,247,730,871,979,683,124,650,197,114,616,186,899,904,736,584,618,956,046,
584,096,879,422,390,190,289,049,221,359,543,960,000,934,855,393,264,576,201,
430,135,834,730,401,297,623,802,713,697,411,981,368,376,839,093,460,806,949,
114,312,243,103,848,949,109,927,954,467,716,248,312,579,397,354,702,646,487,
419,981,401,157,726,212,751,294,606,510,861,131,437,791,188,714,661,516,562,
837,794,833,131,956,865,126,289,419,618,717,368,057,154,089,842,311,359,879,
003,581,013,151,384,759,734,182,069,785,604,606,754,959,281,145,256,308,396,
127,094,772,019,043,132,037,256,928,484,818,259,520,110,944,046,264,126,354,
175,611,516,662,607,832,506,895,438,834,639,991,434,944,465,405,688,614,944,
854,306,490,398,638,015,375,802,244,875,696,082,439,165,150,235,056,249,595,
440,739,874,132,778,905,512,999,012,288,593,864,891,838,326,564,523,460,564,
206,162,739,718,081,126,265,138,010,075,218,890,131,964,189,783,228,805,308,
073,755,673,108,255,729,864,196,905,646,389,381,118,883,946,407,178,958,331,
911,779,379,880,634,093,103,927,486,875,394,653,469,058,780,742,357,219,422,
393,763,243,735,497,640,408,761,977,800,997,235,533,927,213,824,943,348,848,
949,314,214,732,652,001,153,542,905,060,638,941,168,246,219,213,670,202,804,
891,474,039,300,538,257,443,792,054,446,592,482,744,989,094,220,052,301,318,
469,217,447,794,510,410,604,715,112,950,702,645,049,255,105,692,711,104,110,
921,601,088,287,823,344,501,797,058,173,787,089,120,087,538,402,631,300,166,
810,141,063,375,557,416,234,201,918,199,008,188,729,741,814,458,986,420,968,
555,263,893,611,794,884,201,296,218,067,872,544,359,702,096,753,676,317,798,
100,670,857,537,650,585,438,663,821,823,769,662,624,377,444,709,076,088,697,
343,107,198,200,064,426,436,376,431,673,780,337,131,019,344,074,855,741,885,
070,263,813,497,600,926,078,478,823,131,978,175,468,805,236,147,689,566,773,
997,132,876,914,416,258,691,193,007,786,515,732,683,948,227,517,430,304,384,
479,539,125,307,583,756,745,539,099,126,528,333,510,198,902,855,526,537,837,
037,336,764,001,248,327,365,878,413,288,402,915,290,548,229,245,260,513,953,
764,257,875,541,444,152,144,209,968,388,175,125,283,707,375,244,827,595,181,
000,572,077,760,041,471,297,380,951,282,174,108,712,970,084,758,353,243,263,
227,015,833,566,391,917,778,018,084,105,345,939,611,943,317,834,357,418,020,
629,091,974,656,110,368,330,356,984,379,931,925,224,567,144,727,225,248,940,
919,525,052,623,127,529,617,667,717,013,938,236,496,443,707,826,071,896,665,
820,101,139,061,006,531,609,536,443,593,237,555,458,789,706,465,768,860,229,
569,362,271,300,231,593,080,144,577,046,612,610,918,966,273,194,362,090,664,
054,421,773,954,104,096,829,760,526,979,071,679,585,462,204,434,732,176,259,
534,601,297,240,874,662,715,333,495,557,450,757,791,444,114,383,221,446,010,
540,568,003,768,579,849,231,038,572,563,296,896,271,699,909,321,182,350,949,
095,280,404,713,426,777,093,725,010,557,425,312,491,790,384,696,759,469,004,
554,425,838,396,178,430,173,209,883,523,809,698,706,644,194,704,455,267,444,
745,122,584,964,104,868,100,600,976,960,908,184,631,186,425,675,241,261,123,
355,741,177,890,504,687,370,856,679,504,217,706,254,145,156,388,433,056,703,
390,262,272,228,052,779,096,280,208,410,977,699,780,947,777,185,789,708,939,
740,694,685,588,944,110,621,556,965,263,103,140,536,000,762,144,672,691,437,
631,661,841,648,669,772,212,048,581,354,552,937,029,391,272,838,405,200,502,
453,085,731,059,987,871,481,353,695,541,997,785,521,582,544,968,589,955,778,
427,153,350,656,246,657,095,485,656,204,306,899,024,006,510,538,200,585,150,
094,913,813,232,190,785,384,506,398,733,706,754,433,422,798,689,106,379,946,
116,227,048,170,729,177,531,172,821,277,457,450,557,449,832,343,164,484,984,
990,457,698,509,790,081,375,512,815,973,354,004,553,952,365,556,000,126,298,
238,947,448,771,432,848,327,811,956,890,848,371,126,861,442,625,233,196,365,
432,355,951,221,157,283,997,333,621,678,397,754,830,257,033,056,839,392,032,
868,766,824,006,388,180,836,288,407,057,917,949,953,016,635,162,697,426,025,
433,453,469,632,757,847,201,670,065,030,251,948,749,292,191,281,707,553,359,
614,821,231,839,367,568,324,573,375,593,547,884,301,714,054,797,258,748,529,
973,858,362,328,235,337,324,416,754,859,494,877,098,890,273,890,438,236,505,
051,199,168,982,308,527,850,557,271,201,202,720,215,147,265,773,150,067,925,
537,410,231,215,289,331,295,157,618,081,475,725,491,131,012,789,295,906,886,
706,468,515,362,650,118,225,975,030,951,361,427,797,005,160,276,902,936,521,
805,202,610,611,402,423,276,807,709,063,087,466,685,276,290,371,325,714,504,
242,552,521,617,661,395,565,530,131,560,503,648,425,824,996,583,608,010,519,
162,269,050,022,473,838,565,111,259,394,635,207,255,726,849,618,551,457,807,
986,450,032,915,052,743,308,091,618,866,649,162,804,616,861,607,201,347,634,
335,414,422,213,779,473,088,170,336,065,865,200,860,705,799,931,766,161,070,
798,897,330,207,768,870,784,411,981,660,772,194,074,360,434,048,496,127,957,
768,803,675,499,508,879,454,566,140,465,608,139,445,959,751,306,086,420,927,
115,416,011,898,340,457,079,522,197,493,691,702,426,110,453,454,816,964,386,
479,372,193,011,840,936,507,055,678,193,716,826,936,983,576,485,787,317,494,
341,224,646,554,256,955,509,933,615,979,856,110,258,955,405,733,910,187,353,
734,913,448,607,181,247,994,170,218,585,664,037,674,242,299,595,967,006,436,
664,434,552,612,272,496,773,819,554,718,886,036,849,535,748,995,211,810,699,
805,489,618,015,020,471,044,691,576,163,959,945,310,390,849,946,653,014,816,
893,492,230,610,164,827,203,679,528,313,725,599,005,383,096,002,034,747,492,
770,997,108,391,737,978,170,297,497,836,449,339,222,347,529,954,738,238,016,
338,053,376,010,063,520,408,340,493,367,638,208,697,731,766,414,183,693,254,
560,598,955,413,260,322,718,291,242,448,538,037,983,601,802,677,014,078,689,
635,103,569,947,253,713,440,025,686,771,602,883,821,278,202,427,353,262,754,
853,520,976,900,308,958,336,949,637,433,547,825,951,867,107,180,039,276,199,
314,107,081,620,985,319,132,838,062,311,462,803,455,355,285,080,347,052,607,
765,333,411,855,718,986,071,838,619,389,061,874,903,306,267,394,006,365,753,
314,536,932,017,390,330,600,863,512,784,930,155,626,310,183,282,297,012,808,
632,951,086,370,546,317,113,953,470,103,768,358,608,432,796,384,572,748,378,
806,746,369,565,937,761,605,691,980,724,426,653,217,094,699,988,096,903,987,
861,968,310,110,010,195,126,285,726,343,471,959,827,504,244,975,563,367,646,
273,478,338,434,081,387,603,971,286,344,894,662,096,127,311,782,990,797,132,
327,959,785,846,661,441,704,041,395,867,686,115,751,123,128,222,573,286,520,
052,136,184,184,948,221,015,793,306,866,282,967,719,228,142,180,493,009,188,
916,736,631,560,319,114,042,738,006,102,648,865,921,408,143,487,541,279,934,
762,982,994,764,390,517,240,668,098,704,883,157,604,972,693,614,915,429,707,
355,942,798,368,126,642,413,275,313,779,639,969,785,888,193,100,028,213,370,
583,204,416,969,435,976,489,724,328,344,497,436,901,714,479,230,878,322,172,
510,825,237,017,524,644,324,081,469,388,599,709,030,043,628,428,531,853,931,
308,005,027,245,030,456,343,132,790,954,590,741,479,137,596,866,504,133,371,
164,725,221,100,272,834,182,168,893,383,066,437,086,960,339,902,410,615,875,
509,966,169,389,070,098,460,514,271,714,707,771,863,774,649,414,478,660,359,
074,606,637,748,143,574,839,528,417,797,160,404,243,353,584,745,559,633,358,
268,498,794,462,227,859,172,626,342,249,388,435,257,374,813,141,496,714,241,
899,179,651,004,599,467,831,482,427,574,362,001,183,458,470,021,860,828,584,
489,050,842,917,212,894,377,496,649,135,527,506,770,617,182,027,641,429,981,
993,653,797,818,251,355,968,019,843,906,699,475,859,105,086,710,134,305,001,
184,047,341,777,810,584,525,987,738,685,591,816,806,359,908,965,671,156,380,
401,687,592,460,456,843,902,190,787,990,374,345,769,987,929,040,426,434,294,
413,449,224,265,320,746,715,373,135,896,206,857,487,066,904,123,542,292,005,
986,317,748,085,661,418,065,870,130,276,275,209,315,244,150,834,538,220,631,
065,249,716,845,233,400,830,588,075,114,691,720,015,627,476,516,777,419,814,
689,916,824,071,394,027,640,442,398,736,821,395,525,246,113,498,925,080,047,
974,243,181,871,331,623,478,116,096,586,736,259,198,463,001,801,815,427,572,
318,781,591,819,374,225,182,804,684,378,667,262,539,130,086,277,851,788,096,
737,295,408,841,755,172,849,838,040,594,109,628,053,284,366,086,341,550,270,
428,253,779,819,165,288,036,756,780,608,878,005,922,427,194,727,189,943,001,
597,940,582,399,481,926,987,358,833,757,799,004,535,745,511,122,296,888,305,
731,794,687,936,267,512,803,335,872,883,512,846,972,935,287,761,781,423,638,
944,264,616,897,970,885,870,114,639,097,391,647,814,988,801,365,326,698,863,
739,010,391,363,611,389,559,873,193,041,474,236,163,544,573,873,149,741,572,
219,912,193,132,920,667,866,838,228,787,599,360,042,814,364,749,503,626,076,
421,155,607,278,182,822,562,599,724,379,436,280,510,582,760,436,599,585,336,
677,477,488,301,474,270,229,118,592,261,548,304,540,686,947,419,000,257,068,
867,590,246,243,093,190,976,171,346,010,225,927,984,819,240,108,184,989,365,
331,638,779,173,037,872,906,509,237,559,416,913,785,163,828,686,799,408,722,
604,478,463,950,640,424,794,380,473,865,232,049,056,821,058,137,406,304,846,
180,073,135,465,019,232,474,068,073,396,096,325,751,132,234,209,207,767,624,
820,346,320,607,674,301,996,758,166,960,671,916,569,673,003,060,010,191,841,
708,152,668,814,537,429,961,827,795,341,026,709,874,863,627,476,707,923,356,
898,256,959,865,232,514,019,841,229,519,586,007,945,199,987,609,770,934,206,
695,858,958,636,661,170,530,041,188,796,970,190,092,435,057,924,031,638,111,
760,862,000,280,241,991,247,580,765,095,111,751,388,679,061,041,306,925,572,
557,375,959,165,905,510,610,158,322,190,552,432,420,714,273,034,129,117,743,
251,088,100,043,635,129,030,965,141,767,972,322,201,364,511,567,525,783,163,
272,756,180,492,738,066,122,623,024,881,617,956,433,937,372,579,754,971,564,
809,864,608,998,736,195,888,819,766,550,565,419,195,898,294,128,849,604,814,
833,528,257,678,588,472,667,555,633,162,664,944,426,216,473,943,765,476,956,
205,022,585,322,449,179,113,410,790,833,798,727,033,334,461,312,483,327,887,
024,209,201,028,398,386,538,005,829,530,598,306,219,546,829,056,608,650,722,
349,776,349,413,054,855,506,057,137,341,595,067,834,261,259,287,030,274,703,
396,306,843,139,096,091,312,260,477,180,882,932,088,070,214,609,278,654,296,
946,999,353,632,752,521,392,614,548,900,981,820,289,128,887,594,483,416,184,
260,341,060,842,386,965,814,716,676,207,785,946,884,861,960,986,726,546,603,
233,794,755,881,418,512,016,558,986,628,386,732,266,560,008,961,825,459,997,
453,640,999,992,285,436,971,683,601,133,201,985,939,177,625,032,784,952,551,
749,667,067,156,625,221,767,632,455,647,326,397,080,260,438,959,444,057,235,
453,128,742,993,468,724,263,472,340,737,309,934,440,128,334,513,272,476,188,
303,734,495,786,374,103,878,019,539,344,213,622,974,022,433,088,769,024,521,
825,437,383,337,865,894,451,355,294,061,054,910,342,239,458,249,396,559,887,
086,533,688,459,025,728,482,120,593,307,469,385,201,388,525,299,892,944,803,
169,761,646,242,669,677,822,090,073,245,600,751,552,749,097,223,568,469,308,
601,194,765,864,042,406,578,651,689,760,388,383,035,375,128,469,089,726,840,
043,204,800,504,931,431,403,979,513,191,091,246,138,529,400,454,392,742,066,
857,798,729,116,260,581,005,173,464,595,004,557,056,933,558,478,488,689,640,
113,914,365,280,748,863,859,275,744,449,721,269,196,064,383,206,573,432,229,
893,079,419,713,628,891,588,089,845,845,018,777,398,823,413,200,587,699,290,
530,277,631,329,490,206,444,153,377,998,184,927,639,603,616,329,106,061,820,
794,861,172,697,988,949,959,027,643,239,367,601,859,520,366,072,190,927,332,
399,822,703,500,966,985,566,720,513,285,335,854,776,431,826,131,618,875,455,
798,529,305,022,684,819,385,707,981,011,080,485,501,528,601,028,108,952,360,
890,298,772,401,485,268,258,019,777,400,259,550,469,105,024,217,004,497,448,
143,152,001,134,768,822,484,891,729,110,306,032,518,370,500,633,708,511,967,
719,094,914,057,918,175,744,354,861,051,962,921,248,227,671,359,619,497,245,
224,743,608,061,614,149,162,070,323,116,435,278,899,541,373,879,703,517,009,
777,515,395,136,033,209,514,200,112,008,024,866,617,810,328,249,004,605,394,
667,620,277,537,092,520,558,761,202,203,775,047,530,449,800,756,578,876,660,
544,364,191,934,959,283,720,937,988,835,509,031,579,538,475,789,792,317,864,
996,825,231,168,320,374,236,596,137,682,413,080,327,203,032,601,311,655,930,
121,656,387,576,907,515,885,766,673,761,817,918,708,522,238,189,670,740,495,
159,091,762,653,636,884,508,773,293,254,617,449,672,267,443,979,323,871,932,
294,622,010,060,630,194,198,077,748,168,907,855,315,625,791,631,276,663,854,
664,259,565,631,140,237,742,153,623,240,796,616,127,487,949,268,377,727,095,
199,092,955,257,355,062,822,500,559,222,301,975,577,825,147,041,023,197,521,
660,072,872,322,658,069,812,969,004,906,363,029,289,808,858,586,259,257,748,
576,459,225,061,716,617,321,213,718,608,851,878,503,024,225,271,746,161,870,
205,297,919,010,312,750,829,407,514,594,865,916,142,383,950,631,250,675,096,
278,734,749,340,119,295,230,009,615,858,929,818,786,230,477,569,273,734,503,
647,080,280,195,445,395,815,715,559,134,019,774,642,740,756,263,857,832,891,
866,683,645,959,500,675,732,850,638,691,957,750,440,244,787,697,535,407,602,
352,684,865,077,603,242,134,350,001,627,797,800,755,841,180,558,408,939,173,
305,326,263,067,935,573,245,278,277,377,618,842,262,171,990,729,571,715,756,
940,938,886,014,523,600,089,750,441,438,072,493,313,520,748,872,092,848,456,
166,525,446,419,167,763,485,927,421,782,560,649,038,266,054,062,993,538,536,
973,676,043,142,607,623,800,281,898,835,922,679,072,016,621,326,128,961,433,
689,751,779,675,923,257,810,337,703,493,298,097,270,744,241,813,892,402,760,
670,143,717,202,257,548,076,139,816,062,186,322,848,236,896,434,135,935,931,
060,204,891,018,443,370,218,911,232,529,680,269,139,965,511,172,000,712,350,
489,809,501,398,525,569,156,830,175,825,554,383,140,922,068,870,929,927,632,
640,708,142,551,034,508,877,172,362,235,315,784,105,590,228,980,130,092,489,
686,453,005,333,815,021,967,989,057,845,128,891,074,650,013,622,269,481,128,
445,550,442,956,856,143,497,756,550,170,382,632,161,336,233,484,661,687,718,
307,734,851,377,304,206,846,675,766,574,673,854,210,840,988,671,649,496,262,
418,655,628,591,488,359,319,495,921,467,719,481,566,248,812,377,080,520,519,
589,495,486,574,702,339,776,974,078,163,622,244,062,461,025,089,124,511,024,
957,718,910,292,689,372,510,190,888,759,857,225,830,299,883,546,953,007,027,
831,892,873,717,813,633,835,517,737,015,113,234,611,772,700,942,091,055,017,
251,968,732,057,087,269,123,331,631,011,329,611,600,043,347,625,316,881,820,
570,247,545,899,530,906,928,642,518,326,720,784,116,870,072,982,332,962,473,
695,916,034,013,540,202,152,114,457,384,360,183,711,927,082,744,741,413,566,
421,077,125,636,178,089,879,938,517,045,806,491,716,228,705,686,728,145,591,
911,408,112,640,285,843,513,050,911,115,313,489,525,473,841,347,880,068,918,
217,638,953,851,360,124,188,986,372,188,869,633,492,126,098,757,675,157,814,
652,111,031,306,863,722,955,991,370,167,473,151,931,125,672,633,674,552,041,
998,298,184,806,636,606,181,901,086,374,974,269,683,428,850,635,487,997,651,
723,208,234,929,115,392,276,503,486,314,089,759,178,690,765,541,795,585,302,
739,123,760,942,799,978,916,420,119,678,647,355,468,729,080,306,049,152,115,
397,499,017,696,755,387,068,904,071,594,706,513,626,506,661,615,925,168,273,
472,275,380,713,656,266,780,284,580,102,304,669,316,841,770,789,918,589,819,
168,028,900,476,849,580,172,416,416,690,703,522,040,575,177,297,316,625,972,
423,506,425,026,446,447,740,285,996,457,514,533,191,988,370,293,034,758,258,
511,329,337,950,431,618,434,716,768,110,895,747,525,665,404,647,653,950,340,
032,263,274,895,119,373,300,680,877,163,332,684,074,485,336,069,759,103,970,
268,325,054,039,406,633,021,256,359,996,574,140,266,118,713,124,917,316,698,
954,887,872,229,511,391,323,664,491,944,655,779,879,925,308,878,340,185,282,
644,273,059,707,346,566,435,163,060,454,715,198,816,478,895,265,378,417,925,
823,315,072,723,574,068,717,683,807,271,503,726,288,268,804,470,461,315,004,
057,093,140,518,261,253,990,928,141,467,179,146,789,794,168,607,865,683,693,
371,513,571,906,747,416,841,341,832,625,511,587,154,329,634,131,279,514,986,
696,670,239,953,639,001,627,169,366,655,741,380,821,723,805,023,736,232,602,
597,632,957,543,572,831,875,421,589,581,750,394,022,138,121,778,147,114,381,
119,826,525,181,891,007,370,729,418,083,185,549,991,215,396,587,947,984,508,
803,882,362,321,973,166,425,378,900,421,597,629,983,680,207,282,961,867,807,
467,193,777,956,705,025,147,688,839,680,504,161,612,845,995,242,223,617,786,
924,894,358,684,804,206,175,143,493,952,790,745,239,795,799,461,667,371,247,
422,073,080,504,305,699,669,097,193,396,282,267,332,633,878,824,202,998,443,
590,975,509,642,423,802,444,134,531,081,490,440,967,522,164,883,654,703,414,
801,011,052,639,852,763,608,143,240,306,040,262,789,379,230,033,808,841,090,
346,250,478,760,870,809,133,550,145,134,090,513,433,512,970,194,322,739,735,
595,564,236,728,911,983,321,525,212,332,014,570,566,295,234,825,307,087,326,
359,884,466,364,101,641,111,780,289,252,415,323,879,696,276,802,435,016,562,
773,869,436,056,961,323,523,877,703,946,779,947,746,803,959,358,238,591,281,
922,449,461,005,606,374,151,053,897,628,627,397,671,145,373,100,239,602,479,
607,103,645,846,750,745,431,501,663,838,658,084,875,621,746,849,352,027,424,
594,382,107,189,503,321,191,501,365,892,942,105,965,648,323,606,426,254,783,
721,516,216,431,770,380,801,507,338,388,250,184,535,271,723,748,480,891,556,
425,156,364,449,830,812,637,558,570,928,048,905,632,713,625,832,820,011,354,
357,983,057,174,199,486,299,223,905,222,642,997,041,631,758,898,947,998,821,
900,653,005,121,810,223,141,043,749,239,736,148,732,541,309,594,263,620,622,
628,488,194,765,617,682,088,802,933,590,188,950,751,066,114,408,218,062,823,
382,978,074,909,053,894,543,650,979,783,644,877,750,049,479,962,239,687,422,
467,235,485,332,672,558,850,298,884,368,021,767,806,854,335,508,884,838,272,
373,517,832,382,879,697,795,808,043,501,175,879,675,827,923,697,082,510,775,
837,945,318,375,244,335,510,485,610,797,579,557,665,045,355,985,313,067,947,
172,116,088,511,095,210,382,477,250,038,201,580,408,458,502,039,531,151,070,
745,320,753,422,674,507,095,555,113,397,498,895,809,971,184,300,054,090,351,
377,502,955,017,639,114,844,111,564,674,697,372,325,135,148,202,842,680,247,
079,636,509,662,354,222,441,577,599,819,303,792,343,468,636,348,804,450,953,
048,254,681,051,897,065,647,807,320,255,093,266,767,067,447,313,834,811,979,
171,699,667,915,794,159,624,981,698,336,981,798,582,616,463,588,012,006,999,
708,380,195,314,941,345,213,865,712,006,095,213,133,804,160,355,936,450,672,
742,676,740,449,821,479,590,833,209,045,549,072,957,802,073,931,972,525,327,
579,789,379,856,492,345,952,280,862,984,429,964,314,196,710,495,522,150,624,
683,627,305,733,158,557,447,390,860,764,260,613,495,754,887,409,715,498,825,
148,678,953,707,610,899,824,648,237,554,815,024,550,985,602,580,001,750,954,
968,695,408,429,977,807,835,242,973,654,143,618,834,946,551,264,331,374,850,
936,673,140,758,319,153,954,240,021,958,277,872,954,336,527,884,373,082,700,
441,152,020,430,849,943,390,987,200,915,997,590,971,834,255,406,636,478,085,
745,337,703,296,237,099,814,717,840,853,777,859,983,006,784,936,510,356,265,
445,423,255,392,888,544,036,261,083,896,290,937,844,814,820,812,861,839,514,
854,191,252,116,517,105,717,384,700,755,445,718,401,869,612,901,845,670,413,
368,690,216,861,128,920,777,851,642,832,046,275,744,720,193,735,098,082,574,
789,323,450,141,362,986,755,316,625,273,903,960,804,037,542,176,234,589,512,
219,525,414,338,111,663,722,676,269,400,794,938,619,531,775,719,768,569,581,
606,350,854,482,603,633,596,655,987,067,321,051,943,325,464,384,249,142,944,
490,658,976,061,610,563,233,160,176,686,251,958,745,059,788,335,879,758,855,
728,499,542,204,673,561,652,410,586,714,589,567,852,344,937,210,361,977,117,
061,567,240,013,828,986,212,686,178,392,032,808,700,316,607,283,687,839,320,
167,874,660,117,662,460,531,780,614,309,447,890,680,340,913,305,752,304,350,
606,058,595,287,883,485,476,757,959,444,819,248,737,463,820,489,138,025,027,
697,256,747,516,846,250,482,527,807,363,264,683,006,127,795,958,021,626,417,
136,889,523,625,285,161,735,829,621,560,953,362,401,639,829,852,970,894,187,
429,363,190,014,145,028,712,450,796,857,700,760,304,347,375,500,122,286,498,
918,311,331,568,286,585,582,043,538,123,055,168,064,460,017,476,471,207,256,
346,097,228,539,983,556,255,565,586,266,993,333,044,701,888,898,640,249,831,
922,108,824,584,551,420,911,517,417,664,849,859,932,711,517,691,876,210,156,
336,172,488,809,698,060,611,422,674,122,127,687,596,569,298,676,850,854,600,
425,937,814,139,317,368,146,815,098,621,092,684,195,300,977,472,625,808,562,
866,887,577,534,281,551,908,115,376,422,062,952,436,771,751,874,123,977,410,
502,554,377,477,225,133,201,719,880,724,628,501,667,090,889,123,271,289,766,
874,147,882,130,824,736,352,191,445,524,227,146,867,939,046,170,321,158,441,
830,342,976,793,438,674,820,189,562,607,770,214,745,725,666,462,424,490,106,
749,035,682,877,715,324,499,329,327,859,952,066,883,161,570,018,551,678,571,
536,391,100,827,149,936,868,044,715,551,114,618,403,898,736,412,789,752,411,
798,326,853,877,489,157,293,823,548,816,199,335,535,624,291,550,444,586,888,
859,594,038,649,654,246,699,395,678,150,285,816,070,832,844,144,879,735,661,
248,420,433,342,435,054,783,291,668,951,424,956,071,658,662,694,372,146,382,
970,403,008,095,319,316,982,983,514,573,536,824,803,313,196,784,716,796,182,
462,846,309,982,118,006,667,429,715,635,804,020,449,281,573,266,497,860,779,
724,899,281,462,765,626,585,231,301,995,508,561,491,705,565,011,771,566,086,
590,593,351,644,219,242,210,938,449,421,130,262,117,207,537,706,429,646,903,
134,134,962,782,844,478,631,931,290,459,679,847,842,541,367,424,082,701,698,
358,175,057,604,040,481,434,084,816,152,065,964,905,656,950,493,748,884,153,
729,246,991,948,223,129,852,834,561,278,610,118,486,500,570,789,368,117,774,
906,538,071,233,430,446,836,008,990,474,625,097,769,877,407,995,880,651,154,
990,519,533,114,567,728,337,104,808,039,828,448,881,297,970,641,707,910,527,
868,715,762,569,815,102,432,600,398,222,500,017,300,817,504,241,753,127,270,
374,187,741,804,351,795,499,457,854,758,585,575,839,314,547,244,450,231,793,
111,690,232,197,919,712,543,372,774,581,654,895,501,184,492,809,731,532,012,
388,864,949,076,692,800,658,542,425,659,766,575,979,161,080,651,241,864,490,
429,351,947,883,639,692,622,121,829,415,517,370,899,977,332,924,381,666,338,
491,465,553,604,194,855,143,416,452,175,358,582,550,080,733,961,562,452,652,
588,446,808,245,145,154,092,305,962,593,349,839,365,120,750,467,374,939,865,
189,430,945,147,938,599,490,065,317,578,004,873,239,222,909,898,712,630,425,
146,563,968,322,887,190,761,401,239,689,145,169,561,221,122,009,682,795,204,
048,295,052,736,090,201,056,409,834,753,798,915,591,992,572,337,180,204,896,
126,088,280,234,305,566,206,390,184,374,917,653,445,943,971,707,603,013,246,
579,447,102,995,888,681,990,145,456,283,977,175,613,822,661,117,981,439,544,
755,361,226,955,938,701,389,229,203,236,451,302,375,077,937,180,939,311,993,
066,689,853,782,601,144,827,044,801,592,341,819,280,797,942,166,909,929,399,
156,068,797,586,956,977,939,068,626,090,237,615,113,411,400,676,466,592,659,
025,225,985,238,283,004,348,748,343,449,230,154,829,927,427,221,611,937,615,
131,685,384,282,026,282,901,221,646,667,347,577,278,656,868,069,377,610,716,
587,782,651,784,735,035,643,525,102,953,185,659,416,619,968,252,189,681,715,
883,862,771,259,635,702,407,286,868,328,629,282,843,029,492,564,095,398,305,
117,001,978,092,781,053,613,743,494,316,139,250,018,191,275,049,984,029,664,
894,470,468,230,294,105,005,405,945,698,407,402,997,735,079,509,342,070,717,
056,674,690,805,073,158,112,309,058,944,109,141,478,097,085,315,097,930,406,
172,155,450,710,902,222,742,118,448,526,242,556,076,824,838,189,474,606,509,
817,749,296,993,092,224,406,196,727,211,662,159,444,134,703,130,946,642,432,
795,659,568,177,719,946,161,726,555,595,991,374,449,569,556,320,319,369,040,
462,927,162,578,870,792,618,200,531,983,648,085,574,213,450,277,866,145,369,
128,011,162,111,131,097,041,464,297,623,135,706,567,741,652,946,427,785,696,
581,962,899,576,244,803,723,430,440,251,648,039,986,809,516,555,631,953,096,
942,014,956,705,791,815,489,915,670,010,765,048,130,224,905,082,182,857,092,
016,457,604,243,848,138,934,064,170,166,142,112,291,573,225,930,659,926,210,
434,869,973,313,111,223,855,664,380,612,095,686,961,087,561,003,116,158,201,
751,342,552,307,461,509,005,339,252,087,197,982,241,110,767,417,704,200,459,
266,782,447,382,212,342,799,733,695,505,111,233,096,069,807,429,715,707,944,
750,378,042,549,526,482,694,990,611,601,237,539,497,947,633,898,459,366,236,
192,924,444,089,987,304,595,432,454,887,787,555,016,898,089,253,233,263,505,
461,635,326,547,247,831,354,330,646,587,887,159,608,290,009,711,692,212,467,
420,614,204,184,121,231,219,383,058,260,842,035,381,960,088,526,040,612,012,
243,584,011,537,156,675,940,737,264,216,623,022,401,546,867,937,615,821,488,
693,032,535,561,153,036,581,144,304,009,671,908,721,794,196,075,520,416,210,
736,267,821,393,018,780,288,451,749,932,012,719,063,863,711,583,870,981,364,
977,947,864,457,413,426,988,459,732,020,116,683,407,826,739,482,629,298,218,
291,775,311,126,842,283,322,814,310,434,276,930,315,260,158,633,521,222,056,
102,368,002,296,457,661,155,443,942,056,374,802,213,982,513,011,542,973,296,
046,724,762,518,660,546,450,047,871,334,438,734,256,718,134,568,064,779,171,
682,153,439,099,048,115,748,929,375,569,062,360,261,017,238,195,169,283,859,
311,486,054,359,408,961,987,793,727,835,770,852,972,713,288,588,119,256,648,
295,895,412,994,123,401,734,373,520,875,297,133,830,312,161,691,626,059,310,
005,979,194,253,269,762,315,143,698,807,960,566,594,034,186,539,341,865,742,
424,126,985,721,112,516,222,780,617,832,536,751,458,746,275,810,053,850,568,
603,802,063,975,673,522,374,668,244,203,794,945,468,749,775,709,011,442,760,
790,230,411,808,387,832,736,504,223,542,599,216,149,988,258,518,341,016,672,
372,027,110,600,708,649,648,606,736,754,616,741,424,927,035,818,631,118,897,
848,778,267,621,963,909,087,110,065,739,708,475,472,705,012,340,824,361,558,
934,622,042,813,502,527,165,999,491,630,123,946,789,233,684,849,824,024,271,
168,944,968,545,876,262,462,399,558,457,977,066,992,558,021,028,039,396,136,
105,452,062,432,372,573,916,113,468,384,574,161,845,961,519,185,255,835,584,
127,918,008,613,124,144,168,181,510,197,750,975,990,791,199,511,709,604,167,
794,140,850,800,529,793,221,851,687,082,192,339,391,227,110,392,683,119,927,
581,821,037,600,451,832,628,341,179,614,635,845,930,009,528,442,199,804,372,
100,211,914,927,786,745,892,569,090,285,316,383,341,661,551,061,615,138,911,
820,963,321,208,496,092,919,463,792,337,444,853,304,227,351,082,154,648,486,
179,740,883,565,654,537,181,895,043,392,504,664,114,786,162,131,638,001,705,
292,872,747,243,281,581,950,047,860,947,587,833,881,212,794,322,014,464,427,
855,164,223,397,409,094,772,309,140,425,490,863,014,684,282,844,385,954,804,
187,686,021,183,532,506,789,153,780,810,868,084,325,565,980,397,233,509,106,
615,641,863,377,202,538,055,746,340,942,162,214,818,578,215,962,919,051,251,
926,945,863,047,758,603,791,395,394,379,680,107,952,946,769,079,172,982,344,
748,831,612,500,669,466,953,360,893,002,722,635,170,126,341,712,469,705,187,
864,325,106,029,288,604,970,338,773,408,154,580,862,609,023,902,721,127,776,
212,460,965,399,850,561,631,487,355,721,605,442,214,348,179,053,644,064,782,
065,846,849,807,273,574,072,486,143,574,538,684,795,293,415,514,153,682,729,
034,248,743,702,717,861,757,830,667,112,279,158,077,274,020,161,829,421,555,
188,935,995,871,366,239,443,209,680,714,134,070,342,831,730,674,857,671,375,
446,967,950,462,387,314,872,179,079,316,380,700,402,121,963,320,062,410,219,
972,786,992,575,698,499,853,049,810,193,474,514,336,584,925,944,396,410,941,
488,358,483,996,182,646,970,005,709,079,117,285,640,219,135,189,507,182,665,
120,311,795,292,601,118,423,172,853,412,765,418,268,655,809,398,485,925,258,
477,704,643,802,400,018,560,565,525,107,955,143,439,020,207,212,961,028,528,
674,710,253,849,718,998,617,077,253,086,569,199,128,715,574,289,052,432,766,
807,180,122,987,648,720,773,445,668,177,310,419,851,640,082,216,035,266,073,
336,317,093,829,799,338,100,471,875,950,603,249,762,358,409,126,082,286,078,
404,486,635,901,945,396,987,647,151,150,219,638,566,534,220,526,783,788,360,
192,775,663,711,814,677,257,032,687,478,952,270,141,243,680,045,878,418,874,
291,252,146,873,648,896,341,880,722,746,338,739,890,955,459,117,316,904,196,
304,741,020,601,543,730,747,325,060,260,669,574,553,471,264,831,792,743,797,
664,490,971,681,271,798,617,315,511,758,930,105,265,447,338,947,601,046,151,
632,849,247,264,311,864,959,587,462,260,635,412,347,721,799,769,335,943,924,
016,328,998,691,450,328,860,484,725,878,510,773,469,652,269,450,214,273,536,
823,951,352,004,207,631,083,550,325,524,756,434,770,741,587,838,981,651,483,
794,954,966,813,343,189,748,978,748,188,497,173,595,645,507,717,340,495,968,
078,071,601,751,600,625,921,031,990,517,445,519,394,485,764,564,737,376,761,
292,112,413,222,220,645,271,409,788,858,525,313,853,011,745,149,925,573,661,
566,378,147,740,291,479,235,985,497,934,930,701,950,733,929,465,396,686,143,
660,393,406,889,681,540,080,654,081,780,463,533,865,792,249,364,698,107,329,
609,547,742,563,594,041,902,210,984,767,495,971,749,739,990,761,960,966,638,
453,674,859,895,841,754,768,133,056,300,390,421,247,525,190,124,934,287,183,
289,498,665,424,157,142,453,260,869,443,871,511,740,110,725,091,413,806,917,
183,071,368,129,129,810,485,242,406,733,556,789,566,000,741,426,540,943,764,
528,086,516,779,138,187,677,246,401,490,945,336,602,440,777,093,959,314,165,
694,571,914,113,632,367,688,395,421,875,240,148,315,392,348,146,172,620,888,
129,828,959,798,645,828,005,477,570,684,560,461,036,413,490,898,236,716,960,
802,973,142,460,038,707,871,232,852,199,512,789,459,521,144,105,026,840,397,
033,700,980,217,658,279,973,597,263,768,992,675,800,763,492,073,513,213,820,
377,360,415,914,314,019,217,753,452,529,561,607,492,055,177,012,447,738,906,
801,550,669,291,463,580,018,639,427,223,212,425,330,735,764,675,857,078,233,
533,979,921,350,566,688,888,533,164,496,727,159,799,918,372,684,829,580,425,
502,112,128,955,733,766,393,365,329,808,720,480,036,145,335,858,391,206,192,
113,643,471,166,483,590,546,540,585,554,815,273,586,477,211,447,281,289,837,
153,951,327,296,189,964,110,378,301,210,171,358,145,933,031,098,364,500,318,
869,022,933,999,274,621,369,897,845,916,721,396,802,877,256,628,072,163,382,
082,522,779,398,722,642,107,488,212,136,434,474,772,077,537,544,499,163,421,
450,689,590,836,568,588,094,975,895,560,305,043,263,490,287,134,179,667,695,
228,687,862,955,590,168,113,855,637,056,595,343,640,779,554,804,808,851,549,
466,947,195,852,099,161,509,731,551,880,503,739,785,916,379,354,115,488,165,
509,776,116,400,450,089,764,842,162,296,191,125,364,664,260,944,753,146,401,
321,167,418,529,198,230,516,830,828,378,894,156,164,046,917,052,784,140,885,
318,423,305,304,039,655,636,177,332,060,059,704,718,134,258,215,415,110,524,
423,508,987,862,502,160,951,550,160,738,648,870,320,542,371,549,656,655,960,
221,720,785,679,659,615,906,936,528,069,279,702,381,403,386,788,708,019,918,
537,016,492,393,298,636,503,669,928,249,119,943,925,063,510,131,775,507,275,
183,433,366,805,136,702,238,519,497,040,404,354,602,727,415,065,821,245,558,
569,400,363,242,253,495,952,079,380,257,717,209,487,341,142,490,408,980,248,
301,757,736,781,152,543,902,973,442,872,688,327,899,641,135,753,448,582,897,
220,897,181,417,315,899,547,353,046,214,371,626,693,834,944,407,046,290,005,
553,587,530,011,398,782,364,268,133,051,606,242,782,854,743,178,723,374,763,
382,278,416,519,819,906,101,334,641,309,911,560,055,005,527,547,699,084,661,
731,535,781,250,813,958,248,333,117,227,318,940,686,473,153,428,700,538,901,
527,748,849,096,667,322,703,919,728,485,797,850,494,582,478,208,441,412,683,
775,106,345,579,765,233,597,866,040,145,973,937,053,172,904,178,982,519,476,
840,519,025,526,732,409,132,226,678,667,991,988,626,878,651,331,989,421,363,
914,867,644,035,652,439,044,103,887,827,249,849,442,451,542,103,701,421,669,
036,734,283,634,441,967,120,170,799,389,502,612,212,486,562,206,878,981,930,
912,270,782,331,383,768,887,076,049,774,829,218,681,439,377,210,387,891,232,
615,918,142,153,774,496,374,638,979,558,553,157,732,645,542,194,819,392,657,
112,214,333,028,064,588,258,484,139,754,640,738,453,684,878,061,495,172,024,
175,961,163,637,398,188,874,171,121,130,775,738,022,877,385,058,065,604,881,
620,905,004,840,563,047,746,694,862,426,201,963,366,825,134,754,253,906,165,
511,058,716,146,329,749,825,301,247,697,165,505,875,289,558,803,395,982,061,
804,948,018,158,984,630,414,802,001,575,761,493,088,750,137,481,486,339,055,
127,644,435,931,022,038,527,434,162,513,543,502,181,989,437,204,505,886,383,
770,586,363,566,289,828,932,538,927,667,544,708,673,636,041,128,915,514,624,
792,981,135,507,881,610,465,625,535,042,089,285,590,045,659,091,686,329,820,
039,581,146,338,611,610,891,898,861,602,175,840,489,324,227,842,219,248,946,
978,264,177,151,905,172,005,706,234,326,889,127,108,199,859,648,223,395,077,
641,019,627,547,378,329,924,733,014,751,410,724,940,949,792,556,700,593,022,
128,561,247,951,673,837,869,566,290,723,546,284,748,820,001,787,079,596,023,
949,750,608,499,186,985,017,064,601,419,324,673,101,820,613,616,426,204,281,
161,696,780,036,991,701,646,096,617,296,371,356,121,199,780,292,815,790,430,
883,429,256,713,647,448,495,038,978,630,510,341,422,425,584,168,423,537,174,
943,019,532,809,493,234,932,381,938,028,387,709,690,725,828,702,572,975,558,
084,706,145,242,437,802,821,087,693,920,352,329,162,987,920,929,598,013,354,
177,983,851,002,257,478,913,435,123,030,938,268,862,881,605,004,095,626,068,
686,370,267,297,319,116,439,808,007,781,004,652,236,785,299,219,102,302,745,
475,179,080,464,090,710,844,084,786,620,441,267,332,381,704,784,806,162,214,
852,983,901,765,237,855,065,702,522,116,109,977,374,251,526,033,645,638,427,
710,845,673,975,309,698,653,385,794,048,488,158,075,333,572,413,620,715,792,
375,190,217,388,299,640,358,597,424,841,863,267,536,474,540,706,682,056,405,
159,173,564,412,455,633,749,926,786,631,758,536,611,927,281,070,323,872,908,
377,394,739,429,170,900,037,227,225,051,644,180,086,234,179,235,207,420,803,
616,564,991,476,563,300,877,827,199,728,684,176,396,053,215,200,309,412,542,
038,919,832,368,331,009,145,524,830,627,186,882,574,983,937,044,611,111,722,
099,294,288,296,416,817,905,209,763,426,924,423,335,752,532,268,961,471,627,
527,995,485,110,394,834,043,367,857,155,926,716,973,870,819,850,368,805,445,
705,215,378,779,010,455,033,744,478,634,217,357,638,884,893,599,238,125,329,
240,289,024,595,576,472,301,254,487,927,978,831,790,606,779,238,157,539,517,
018,966,100,772,670,864,674,511,217,058,323,299,980,755,687,838,030,137,129,
836,077,613,105,195,016,265,841,830,060,014,996,620,973,730,321,835,204,839,
200,174,027,371,976,198,896,446,671,907,533,046,687,652,350,318,858,306,023,
531,997,312,235,419,197,369,535,586,003,468,434,930,117,404,431,259,343,227,
286,583,830,518,849,845,836,079,992,822,343,097,913,479,739,150,847,471,029,
225,221,632,165,107,093,236,656,661,500,107,432,727,807,211,262,797,317,343,
232,366,690,774,642,461,741,423,528,021,449,079,464,122,013,402,427,263,801,
312,077,584,782,665,232,025,656,253,940,002,816,575,187,803,641,026,117,914,
240,517,582,721,116,802,069,988,464,715,676,631,621,966,048,851,810,343,459,
894,964,855,150,731,908,463,426,570,923,881,384,779,959,163,071,089,053,201,
561,034,411,728,951,725,020,625,498,770,634,546,775,612,064,247,887,153,680,
466,288,772,644,580,420,577,630,151,538,887,593,070,711,921,129,229,921,567,
645,449,872,046,201,201,591,217,414,995,662,115,248,793,704,253,300,594,060,
243,943,315,163,694,897,787,913,817,793,752,634,153,918,783,284,677,924,305,
784,309,156,791,783,344,115,126,219,743,431,759,964,921,736,993,368,054,247,
032,174,258,622,612,724,752,580,505,034,605,391,997,082,572,657,132,123,697,
034,074,205,462,231,239,336,774,005,444,752,153,008,784,902,102,986,435,086,
652,811,577,861,212,811,095,059,671,293,444,485,781,578,807,843,762,121,770,
029,972,642,022,612,442,155,970,563,872,232,731,085,240,806,798,874,860,539,
511,164,952,632,743,208,904,749,252,882,485,169,838,323,435,686,803,693,032,
512,164,562,366,791,609,164,825,629,261,150,882,322,290,369,140,376,233,754,
303,829,465,895,019,479,105,533,920,029,287,770,345,137,207,544,072,592,943,
713,197,410,122,036,961,674,148,375,774,508,189,279,436,528,709,671,991,499,
238,828,260,049,978,107,866,331,071,610,570,012,476,453,853,564,584,112,955,
065,699,516,399,209,699,874,825,361,053,328,399,312,801,291,940,244,999,175,
321,269,079,536,592,438,236,727,015,482,181,628,880,240,373,642,146,813,301,
569,970,468,906,672,693,102,414,635,352,797,511,042,271,916,376,918,767,644,
492,337,678,042,098,832,599,285,701,756,846,208,411,207,185,462,736,385,304,
474,102,760,347,882,119,424,603,410,358,346,694,676,395,599,135,547,253,001,
046,791,797,559,913,165,240,024,798,202,010,939,761,180,501,794,728,370,376,
921,561,554,563,291,133,931,256,682,799,891,366,273,178,513,269,622,653,350,
313,289,069,551,494,709,430,740,298,538,008,503,149,899,887,464,082,984,057,
116,990,127,607,401,273,144,275,851,640,686,220,805,307,504,971,738,290,731,
333,066,920,079,746,700,665,967,084,440,680,499,512,881,278,791,630,219,480,
791,593,699,614,352,815,982,851,773,033,504,341,849,875,270,034,833,876,129,
697,132,503,963,776,289,623,513,962,241,362,387,784,889,865,615,341,140,511,
114,727,154,761,413,943,164,914,483,552,177,682,821,953,837,245,797,259,056,
885,600,549,112,002,683,704,676,020,904,070,598,244,868,160,689,005,206,169,
677,345,250,239,935,396,140,665,420,712,247,512,281,712,926,668,687,284,467,
622,350,415,500,809,219,391,664,552,694,586,652,054,981,679,692,384,132,736,
591,038,531,150,434,369,850,474,054,246,102,219,739,539,345,461,221,554,278,
372,351,417,266,833,730,951,068,372,141,329,951,512,922,750,113,120,178,163,
361,353,408,033,554,410,499,542,813,774,777,310,142,166,028,082,142,232,677,
006,633,425,649,775,072,118,978,159,285,587,956,395,632,777,104,511,344,571,
208,868,438,457,787,004,316,255,352,153,233,574,603,680,882,314,254,825,699,
344,566,035,886,573,808,342,584,518,609,707,321,453,332,394,439,142,243,308,
472,207,550,332,653,080,552,314,978,566,196,954,513,034,009,473,434,868,659,
377,826,226,378,444,346,858,765,961,591,424,855,761,075,618,824,053,213,044,
497,045,629,735,786,002,165,363,386,635,652,978,851,547,268,144,026,791,867,
178,159,940,255,132,321,511,793,868,147,267,140,184,964,467,496,720,925,880,
984,224,352,146,083,169,147,359,370,095,512,448,654,745,051,707,144,879,542,
126,136,508,907,844,372,290,905,274,162,487,446,886,547,850,566,572,566,419,
948,951,466,957,155,693,762,347,073,827,942,293,940,903,248,829,799,460,055,
059,524,694,287,793,416,913,943,691,377,532,187,892,045,132,122,578,559,540,
953,888,746,900,171,036,349,903,228,903,984,443,393,013,257,995,544,414,747,
527,568,115,293,589,930,442,082,241,122,556,424,705,326,263,711,516,995,332,
931,086,056,254,572,324,822,363,986,620,632,398,321,135,795,785,437,820,547,
778,876,074,805,809,251,746,986,042,149,618,678,057,220,864,612,444,157,486,
029,450,944,616,731,715,911,142,202,628,670,664,102,098,110,886,917,656,439,
245,343,009,013,377,896,596,160,742,773,208,003,316,772,868,788,174,831,987,
168,931,897,893,818,890,965,797,661,057,539,006,563,438,360,553,204,421,508,
546,397,997,443,787,199,392,446,294,729,838,433,550,175,209,365,625,231,693,
318,533,347,596,686,098,055,188,344,805,579,451,359,842,651,482,395,067,017,
979,699,447,058,075,347,909,122,650,578,967,439,320,409,582,510,035,910,128,
729,113,606,811,104,062,240,655,583,809,211,440,364,588,567,723,265,629,491,
712,071,113,188,903,003,475,783,375,441,215,595,053,108,803,587,492,366,182,
373,281,562,782,096,661,164,663,309,322,012,681,771,666,173,079,287,431,944,
552,154,205,259,520,826,093,169,388,656,040,272,060,133,915,552,365,212,039,
041,914,210,997,085,923,737,348,478,540,254,647,662,262,725,182,733,511,457,
936,296,362,947,790,186,266,161,862,910,210,030,357,401,076,093,795,157,383,
697,004,910,685,816,722,830,792,770,303,186,693,362,942,147,199,592,042,278,
037,869,413,809,467,003,953,065,950,324,176,236,376,107,620,233,664,770,388,
544,579,350,829,065,881,508,254,664,980,789,052,552,096,515,942,453,552,545,
956,096,306,092,571,964,336,873,482,327,121,347,319,098,752,702,634,498,047,
840,316,505,961,532,530,588,091,653,725,686,395,502,851,092,742,193,381,881,
793,876,988,482,140,518,553,315,341,258,016,887,188,632,715,216,577,671,681,
736,944,229,319,449,889,437,114,822,280,977,165,516,932,450,627,594,010,546,
530,272,113,972,627,733,987,811,574,867,056,060,359,441,582,766,432,911,718,
510,722,847,572,377,053,495,502,335,481,125,587,393,802,796,732,533,882,499,
806,016,473,292,121,745,229,183,946,328,069,369,763,941,953,713,662,074,830,
572,853,365,265,234,954,889,423,335,789,431,097,287,768,017,411,683,648,603,
576,210,873,006,442,401,758,253,743,142,536,138,991,862,057,352,471,710,561,
281,741,311,493,205,417,407,064,915,645,673,216,843,288,303,435,071,978,172,
905,397,088,393,737,614,156,052,001,699,758,345,426,728,976,477,310,504,660,
713,413,260,802,603,223,335,344,919,054,044,375,410,650,376,404,343,476,931,
303,140,973,657,425,746,495,364,373,305,301,803,823,945,293,325,743,983,095,
534,322,500,376,613,790,758,099,051,367,020,568,739,588,382,720,888,342,737,
009,394,778,631,126,127,976,490,729,309,939,809,762,139,341,225,625,469,830,
835,477,556,504,313,948,258,967,182,538,547,106,918,316,468,980,376,738,791,
983,962,419,585,166,307,540,642,051,406,365,884,025,759,787,603,564,056,363,
842,037,639,145,750,649,351,157,835,707,513,635,330,209,410,793,006,933,639,
324,426,217,590,386,360,425,194,063,789,239,874,844,372,971,698,750,926,021,
377,155,955,401,908,937,822,525,674,226,814,942,049,477,879,231,677,807,620,
151,778,719,398,361,433,358,978,700,127,053,658,268,417,341,243,566,920,067,
390,465,858,211,823,458,120,544,220,636,845,859,574,833,908,186,104,427,499,
748,301,271,173,657,313,099,138,048,147,263,131,810,524,946,911,031,500,598,
742,144,609,625,640,379,466,086,143,174,302,297,377,405,555,032,677,549,374,
572,176,680,212,334,011,109,077,482,597,136,151,438,202,566,038,934,381,960,
850,913,678,900,716,591,737,773,267,309,603,769,286,868,753,306,785,211,868,
292,456,153,211,488,313,077,031,478,381,256,986,147,239,315,211,404,457,231,
412,734,281,830,869,696,874,268,273,489,202,566,723,263,037,780,468,369,180,
853,232,987,188,424,854,245,220,506,505,032,129,011,610,629,913,821,109,348,
670,295,690,204,803,650,921,627,794,252,359,300,145,599,528,173,935,292,005,
120,433,428,382,960,699,153,113,505,218,803,018,867,006,520,142,378,291,314,
652,611,507,849,972,287,746,911,849,266,754,834,070,112,979,876,525,169,206,
143,246,379,593,809,355,173,399,921,030,250,038,672,378,711,586,073,564,163,
462,837,961,865,817,157,655,980,608,588,282,565,366,595,638,892,710,344,509,
476,108,663,568,504,001,780,091,023,981,516,646,065,857,645,342,652,811,153,
567,473,091,947,701,915,960,343,158,763,149,973,668,584,036,703,197,969,660,
866,728,464,871,609,944,345,813,193,112,813,153,568,564,336,074,482,776,142,
391,689,417,013,046,097,092,528,842,434,562,033,114,544,061,877,654,386,049,
370,893,535,642,985,344,366,541,651,690,071,678,695,721,077,905,208,777,827,
048,356,793,499,586,716,490,866,175,157,787,462,222,532,455,692,908,346,547,
491,169,205,276,325,431,630,549,210,755,432,495,209,233,911,927,893,109,429,
202,722,673,322,945,124,876,852,148,841,238,627,731,868,248,075,363,777,475,
974,312,234,667,171,230,208,291,966,792,408,562,788,036,499,840,736,496,980,
601,534,978,535,435,783,060,306,911,162,529,174,477,778,810,737,970,323,622,
188,658,942,768,610,127,143,683,782,790,958,282,403,162,218,470,388,561,078,
532,642,978,601,412,724,088,761,214,761,428,039,192,693,854,949,074,593,524,
129,221,118,804,286,595,418,763,832,823,956,203,062,583,335,265,388,767,806,
332,622,611,716,825,130,971,636,463,389,052,624,341,780,925,590,621,206,180,
948,834,646,378,108,691,958,017,203,186,196,302,800,414,757,386,572,535,993,
010,723,867,956,536,559,840,299,747,937,404,074,163,837,944,650,183,868,410,
049,043,278,986,434,781,057,382,403,957,197,650,365,377,673,594,930,054,632,
761,385,093,891,915,344,206,165,066,101,618,532,045,711,858,391,932,350,826,
815,337,108,205,526,506,338,838,358,078,613,190,731,227,945,001,114,624,588,
849,103,249,484,262,314,334,358,163,476,032,730,027,570,664,748,232,434,299,
272,668,147,991,611,254,774,993,052,394,541,520,579,841,053,504,181,574,429,
099,687,672,862,211,344,348,234,562,367,342,419,130,981,965,198,193,618,778,
466,903,267,445,330,949,358,297,442,479,134,213,968,152,960,013,677,626,246,
349,228,435,943,061,833,346,058,359,242,748,506,185,598,079,060,305,876,621,
629,177,182,947,196,174,763,365,762,200,109,805,854,186,002,422,581,711,827,
895,399,089,599,271,946,209,655,935,146,458,338,597,230,871,442,302,801,069,
005,713,151,308,446,292,566,752,038,400,349,312,965,952,563,450,707,309,086,
087,191,145,807,736,637,319,799,087,482,779,731,322,963,590,691,895,513,790,
971,339,174,923,691,697,715,382,664,269,868,572,235,369,096,709,739,880,530,
674,330,258,366,876,633,705,374,735,591,007,257,055,754,197,576,093,955,869,
376,767,095,508,867,446,572,851,485,506,861,928,838,742,545,254,516,538,086,
182,875,715,313,452,365,593,874,100,451,893,787,903,780,849,196,420,875,846,
239,345,286,237,849,320,512,843,195,257,827,607,255,325,807,885,582,508,401,
026,260,524,099,047,275,356,459,431,332,842,542,567,501,857,604,955,329,785,
033,982,201,271,399,039,452,545,674,639,362,822,171,298,492,575,814,574,982,
410,615,459,804,814,933,177,472,674,256,419,974,433,310,939,927,682,880,362,
529,849,477,277,911,563,148,354,037,375,776,847,774,969,908,388,834,421,280,
800,395,578,566,406,623,116,621,113,655,838,036,352,848,195,168,310,147,354,
906,795,650,621,535,644,813,812,752,488,339,828,745,766,496,584,574,210,740,
436,250,929,001,370,548,120,534,310,115,582,346,087,579,757,525,119,591,332,
467,669,158,078,311,550,628,074,640,568,269,802,818,116,481,980,061,979,236,
523,697,688,491,512,443,108,755,419,862,799,667,441,066,412,553,557,660,996,
710,474,423,826,687,536,396,462,259,140,189,923,023,897,953,252,439,603,152,
205,576,982,469,942,656,547,025,125,325,926,989,838,550,965,346,865,141,623,
380,878,465,046,703,619,672,952,597,029,529,022,771,440,377,234,965,004,173,
548,619,368,441,770,069,412,863,611,993,311,371,570,103,512,254,048,858,958,
679,192,082,123,107,490,185,705,308,177,656,513,882,832,935,350,650,022,134,
306,171,412,717,017,183,256,576,662,383,036,460,912,439,129,188,182,977,420,
250,542,238,262,607,583,587,159,721,975,539,495,755,660,878,015,819,054,065,
126,861,397,770,181,726,717,513,236,055,776,231,697,786,919,035,167,939,491,
485,714,743,764,775,760,419,757,709,400,525,502,771,085,495,151,346,404,741,
055,960,722,732,163,396,223,694,489,011,278,695,596,241,605,632,831,982,771,
336,452,342,781,093,670,719,632,881,404,479,610,243,147,969,756,224,081,050,
931,250,378,808,797,909,570,609,412,484,421,012,950,165,560,864,659,674,630,
104,498,884,083,648,075,338,309,371,156,720,849,663,697,511,335,561,214,739,
269,831,585,131,195,215,325,755,288,234,396,567,354,643,205,099,919,117,577,
188,349,833,723,415,865,571,503,626,836,382,119,869,138,140,409,363,524,762,
849,412,951,891,260,649,919,386,799,893,733,103,262,133,745,893,673,584,501,
058,649,952,505,832,443,832,287,742,372,449,308,103,754,645,909,589,083,605,
198,851,914,315,227,460,041,442,321,414,443,976,825,945,034,243,426,065,935,
429,884,302,729,898,476,586,889,559,927,208,956,100,470,045,240,305,564,565,
441,125,982,907,179,106,297,619,200,841,594,880,826,531,767,122,672,626,006,
034,697,820,903,280,065,912,956,756,558,432,300,109,560,234,362,413,785,407,
542,170,110,621,236,320,311,881,765,672,315,321,099,610,391,037,498,404,318,
892,872,535,377,622,881,734,297,119,604,040,130,055,813,434,567,377,892,563,
532,092,670,847,035,535,362,467,930,712,217,247,805,825,556,508,149,028,199,
376,725,213,911,231,733,155,690,714,582,602,548,934,672,830,109,866,029,823,
494,163,258,372,430,131,954,490,046,211,577,883,794,097,503,039,180,748,850,
632,965,638,774,767,363,247,313,237,369,205,379,314,163,406,600,030,368,182,
224,056,530,996,812,012,777,750,143,202,991,950,215,533,113,925,996,620,690,
011,870,574,585,440,909,490,373,975,104,341,464,318,912,583,606,682,350,913,
405,571,151,451,884,623,246,944,815,141,618,948,367,740,443,637,282,775,213,
204,823,614,299,931,954,766,235,613,166,980,779,948,928,747,247,313,723,358,
851,329,083,798,731,170,530,071,881,944,340,709,695,278,539,958,684,754,329,
646,268,677,770,218,681,283,873,173,312,492,938,716,185,713,462,083,052,297,
249,416,254,555,383,290,698,101,977,627,163,678,075,199,521,559,432,981,524,
923,719,684,353,556,756,179,495,478,245,318,393,231,236,036,898,623,156,764,
732,501,755,077,747,012,725,620,905,151,850,317,097,325,223,537,782,038,438,
002,197,005,761,262,063,573,552,883,467,837,039,095,934,435,879,438,530,087,
521,108,668,896,521,842,113,103,172,087,156,194,914,188,389,480,274,578,321,
427,861,573,982,099,437,972,313,206,947,020,871,229,161,849,532,038,117,331,
839,678,338,305,057,262,043,495,075,027,331,132,177,272,762,521,583,375,503,
136,121,661,827,397,265,194,514,361,678,751,706,845,820,906,098,836,168,379,
075,617,389,895,531,737,478,808,366,776,289,889,858,147,225,568,322,264,996,
726,569,405,841,483,019,331,134,679,324,751,539,433,774,227,106,546,780,665,
061,615,428,378,778,612,089,043,282,223,297,591,229,114,867,447,768,944,157,
319,588,516,501,785,703,751,499,899,139,464,269,336,296,492,911,747,219,302,
412,186,702,645,466,390,973,555,594,661,982,393,343,058,480,212,939,308,185,
813,951,044,986,882,989,134,939,798,324,322,045,678,455,516,238,291,069,232,
274,451,852,778,511,181,155,469,018,535,714,915,467,980,561,945,469,304,022,
484,728,548,438,421,002,686,928,706,117,509,403,547,055,872,000,525,763,179,
841,645,059,385,613,436,281,052,922,419,315,283,168,101,708,236,643,080,275,
020,493,180,722,692,715,505,794,353,236,014,298,285,538,473,835,704,662,141,
953,342,355,982,126,751,619,954,371,430,159,586,538,927,882,921,092,601,729,
418,627,282,712,975,936,718,728,783,152,645,279,250,881,692,435,161,248,381,
333,606,382,849,789,580,049,374,630,733,339,435,250,228,941,101,629,039,060,
710,705,988,764,536,748,028,888,646,545,861,104,265,792,418,230,778,413,242,
296,458,073,947,171,602,459,248,103,831,074,834,577,060,625,205,453,393,743,
056,125,656,243,348,649,049,564,692,271,538,524,101,915,151,082,666,095,256,
785,239,389,131,322,762,529,441,531,823,867,031,714,402,507,975,788,292,964,
621,264,531,090,651,351,495,158,054,658,733,658,725,116,359,721,748,534,643,
727,977,648,243,403,466,066,924,750,894,195,548,037,763,211,998,751,252,927,
959,043,068,503,045,655,348,461,721,109,448,573,004,353,587,692,873,999,301,
411,669,259,351,182,946,549,763,839,049,722,894,512,904,044,285,534,497,439,
095,665,242,194,507,279,820,375,624,028,214,368,236,842,741,280,745,558,453,
445,647,231,291,296,073,123,940,757,647,397,619,299,452,119,840,761,991,934,
773,877,883,265,713,713,987,753,221,952,992,259,272,375,570,779,135,550,356,
609,016,864,001,642,418,217,867,097,646,182,933,485,766,175,148,086,596,312,
934,210,364,366,959,392,655,851,961,611,348,280,079,420,583,824,697,806,137,
194,672,770,405,996,547,530,279,163,468,462,638,974,937,239,841,704,923,819,
569,148,860,872,223,326,149,854,683,853,227,990,899,473,263,232,335,447,508,
555,984,075,816,257,151,462,279,310,116,961,721,376,341,306,471,404,270,836,
275,367,103,982,325,417,768,791,404,385,650,792,427,382,599,693,349,495,337,
248,969,419,261,079,354,004,673,062,549,532,783,940,543,577,485,288,895,774,
887,353,579,716,832,001,359,341,231,470,325,185,090,654,654,678,944,453,463,
944,784,700,270,150,888,606,392,659,309,751,032,761,323,645,395,167,004,773,
730,218,830,229,793,164,743,073,387,880,779,424,010,968,736,549,033,178,785,
368,616,465,345,100,391,745,758,678,853,438,387,946,157,181,045,927,248,320,
423,220,428,100,972,904,284,678,984,148,116,516,701,471,095,097,406,185,719,
827,538,539,681,396,206,676,171,106,908,175,327,345,795,352,068,468,554,268,
369,002,509,909,988,474,512,633,448,823,275,674,829,504,442,420,789,412,992,
948,511,100,274,803,502,850,312,321,424,009,089,647,391,498,805,431,804,519,
062,510,507,287,015,690,897,043,748,008,120,350,523,787,931,778,034,199,971,
742,040,786,200,501,487,739,933,566,240,753,082,153,471,486,056,654,964,565,
135,904,361,229,198,581,418,300,893,740,768,664,746,896,355,798,817,467,201,
685,919,370,976,076,423,107,797,265,552,483,626,390,401,885,309,705,771,423,
357,095,284,353,853,849,218,002,660,216,659,721,067,480,450,756,970,841,551,
304,355,309,938,217,943,624,297,809,710,352,977,512,328,316,084,484,446,427,
077,947,600,174,491,976,471,342,992,628,045,179,475,221,215,745,580,310,204,
397,783,112,347,409,142,633,366,619,057,180,925,411,489,436,050,470,198,647,
768,432,346,445,570,510,553,316,582,978,178,691,626,975,850,105,305,460,223,
779,111,890,525,221,515,437,925,545,825,082,399,042,462,532,844,337,572,984,
576,331,192,131,898,839,844,787,550,816,781,369,068,494,486,768,593,760,178,
249,481,527,640,988,043,416,468,700,843,765,877,272,637,302,676,873,710,815,
353,192,753,237,307,606,730,001,843,672,193,941,359,346,062,326,759,995,202,
282,993,433,493,799,971,953,341,849,448,618,962,163,339,548,951,241,349,519,
233,351,063,988,973,327,162,372,337,096,342,307,050,421,452,642,979,159,122,
189,444,106,137,134,126,169,355,296,961,744,411,375,833,397,465,337,845,719,
124,609,736,492,470,749,851,481,307,332,979,164,406,921,406,903,912,063,827,
614,798,281,010,341,026,193,149,698,441,264,796,446,521,483,734,956,182,195,
360,174,843,323,233,971,933,544,485,939,531,601,776,474,621,493,669,740,733,
693,553,716,648,547,273,656,166,652,618,078,097,974,334,655,845,958,252,678,
221,376,681,169,670,038,664,620,360,193,042,457,922,488,139,401,602,432,649,
798,649,065,623,612,167,904,553,271,037,139,652,563,318,019,868,811,379,420,
935,175,422,269,815,221,994,770,985,492,110,236,039,937,614,042,773,349,161,
808,477,363,410,097,855,656,488,609,356,620,052,222,590,147,928,607,711,726,
978,324,775,791,211,538,178,200,790,815,692,813,761,084,180,244,232,700,668,
665,465,351,906,484,684,940,173,207,451,813,552,045,870,777,262,901,616,651,
001,627,793,957,770,401,994,462,312,405,538,301,732,415,017,904,281,904,647,
651,366,742,170,039,024,958,435,343,603,481,631,977,531,553,947,152,216,381,
960,441,317,661,467,857,231,848,120,028,666,981,595,548,585,133,116,466,611,
799,671,298,766,868,051,966,028,884,898,661,607,535,859,255,393,757,287,228,
522,103,221,920,573,956,640,383,080,289,724,985,650,807,431,888,603,479,379,
647,236,939,310,093,186,215,420,320,262,189,363,482,003,201,090,094,274,204,
572,861,503,010,523,811,432,745,252,331,125,929,106,719,064,071,828,214,626,
565,261,392,759,422,700,906,893,714,928,994,279,494,376,108,481,446,476,291,
330,958,456,778,421,688,652,449,397,964,712,679,593,235,582,654,385,515,615,
499,548,869,687,961,211,781,698,433,221,650,998,665,318,493,103,028,398,249,
093,210,932,307,377,941,770,088,153,195,496,356,022,465,424,469,527,605,834,
150,521,249,065,796,634,634,950,091,916,359,613,581,787,195,568,570,028,037,
915,832,746,969,111,405,898,125,540,271,253,000,389,284,695,540,645,371,448,
019,270,900,768,484,629,164,067,083,609,973,264,049,270,550,607,142,453,696,
052,751,194,581,748,151,698,363,351,289,276,838,533,039,452,650,131,614,136,
316,081,286,725,816,109,743,523,660,539,868,733,275,542,910,261,747,051,960,
221,875,793,359,623,763,138,987,536,837,654,481,651,997,818,276,264,478,932,
681,510,582,077,385,687,236,119,189,854,856,361,930,477,262,183,839,515,249,
284,883,449,231,483,930,858,733,385,071,563,912,204,420,980,202,082,387,544,
815,657,965,353,426,934,023,826,465,019,365,400,237,756,959,401,416,631,531,
584,713,182,049,682,637,506,734,375,391,467,515,046,117,811,737,402,723,588,
949,537,676,913,546,835,410,536,674,913,726,581,677,289,218,534,714,403,866,
220,991,689,110,013,538,029,743,203,027,926,417,813,350,993,493,248,405,164,
028,416,823,227,352,408,939,960,167,797,206,359,531,658,309,566,121,913,867,
755,427,152,064,863,751,123,816,449,561,736,697,626,095,860,925,183,459,859,
481,273,482,092,825,225,053,744,908,192,085,343,845,753,497,156,429,156,474,
443,087,775,421,387,611,519,091,734,885,098,502,786,716,247,440,190,317,709,
053,062,310,929,948,595,842,066,505,333,593,415,729,712,973,263,490,624,588,
122,238,699,981,207,193,883,033,754,041,644,193,526,717,326,396,458,250,764,
210,646,104,523,480,472,807,051,354,506,654,776,537,818,177,682,274,774,488,
026,206,244,099,186,506,209,444,997,169,123,923,763,872,352,370,964,278,860,
856,225,204,628,804,276,410,801,198,441,719,959,382,648,469,606,463,152,563,
381,771,376,380,871,689,635,216,458,546,738,334,105,806,007,738,716,139,474,
794,310,951,613,424,457,571,587,358,885,621,178,323,129,097,520,598,655,698,
573,339,479,932,317,165,504,029,234,100,306,835,469,832,090,405,418,535,587,
889,839,771,522,135,299,061,840,072,318,211,372,786,722,613,203,100,082,364,
293,814,035,695,330,548,523,026,209,076,527,753,986,977,277,466,177,330,201,
190,628,251,386,510,149,926,561,656,224,819,201,584,293,772,746,961,715,811,
569,729,129,810,890,183,203,147,278,533,641,176,336,557,411,437,365,439,510,
218,236,710,710,400,670,037,417,987,219,053,591,231,016,226,693,862,102,040,
237,984,394,603,024,256,173,102,843,549,793,939,257,159,738,545,817,900,642,
851,468,210,997,700,619,848,911,041,197,263,377,764,467,780,872,735,672,599,
531,448,506,242,187,531,651,858,183,316,227,524,676,274,340,256,922,734,890,
719,220,283,117,648,246,240,723,657,453,535,757,314,390,875,788,001,516,079,
774,486,919,306,632,976,197,508,471,705,384,102,758,694,484,709,897,571,241,
913,411,601,134,783,789,843,938,474,409,054,686,724,883,684,044,277,828,125,
109,278,777,859,904,037,372,152,209,781,617,472,476,933,265,226,434,601,481,
259,885,398,434,069,678,692,330,160,144,507,080,683,327,873,898,007,291,685,
071,200,006,534,336,268,674,604,046,186,049,020,748,954,900,476,642,313,907,
225,388,883,582,875,567,299,270,852,279,594,497,806,870,761,821,939,638,297,
824,767,596,398,656,349,888,879,371,577,230,312,106,626,040,078,274,846,379,
802,284,873,266,374,663,300,893,660,117,070,995,712,097,099,427,497,249,822,
373,355,487,268,595,613,010,829,365,710,905,512,206,361,393,888,451,021,631,
525,944,972,752,805,057,882,504,238,742,638,731,059,786,478,922,927,289,815,
840,671,785,422,671,618,290,803,397,237,148,259,429,084,646,559,046,253,524,
252,059,929,685,278,632,297,420,241,486,781,609,514,155,395,097,818,455,883,
431,963,165,238,142,595,271,911,772,688,603,697,375,163,873,647,237,867,945,
769,896,015,472,974,281,999,837,276,112,878,160,927,796,221,737,116,599,114,
059,283,220,026,723,039,292,120,856,877,211,042,785,591,892,261,191,580,081,
887,366,350,934,707,987,370,975,418,979,074,715,589,802,072,366,145,523,111,
123,442,523,120,974,404,860,157,051,296,582,109,944,285,441,786,073,733,711,
312,909,588,368,136,247,742,399,266,532,016,890,515,183,575,801,121,714,702,
010,257,750,536,922,144,786,824,056,085,101,153,179,776,828,713,116,186,841,
263,384,287,897,228,561,465,963,741,094,193,614,146,822,071,142,824,972,928,
687,111,360,864,918,642,556,602,001,180,423,860,079,946,090,449,436,754,278,
217,936,256,569,883,437,828,976,539,912,427,325,126,627,556,289,852,345,043,
604,873,237,912,537,918,271,805,768,161,680,125,022,005,660,812,462,305,936,
494,169,730,405,691,299,773,861,132,598,436,358,973,378,176,149,578,917,317,
102,502,186,721,984,780,933,033,360,071,273,003,648,046,117,832,413,999,807,
044,732,064,578,432,182,016,644,537,820,547,040,717,148,500,921,353,620,021,
887,387,830,022,889,058,682,368,167,046,650,675,021,738,535,710,646,966,112,
576,872,876,156,806,969,690,584,660,193,924,418,908,072,648,563,055,499,595,
404,352,872,598,710,477,897,282,041,940,424,102,138,256,923,614,877,906,870,
300,947,290,885,044,718,582,242,338,718,941,204,840,853,739,266,570,893,318,
517,172,484,919,506,163,278,566,359,945,064,295,952,583,200,299,516,974,397,
854,123,152,774,421,570,623,683,229,084,627,720,707,202,525,781,014,386,807,
598,524,660,943,934,802,191,655,858,769,625,129,019,285,826,283,437,027,607,
547,943,321,075,224,260,904,680,638,242,172,577,340,982,301,656,867,426,995,
331,676,192,239,985,704,851,918,799,633,881,256,592,974,341,055,257,261,437,
923,525,469,013,055,928,213,026,296,638,519,719,190,964,475,696,555,869,470,
478,558,298,200,923,313,975,802,173,400,427,929,612,661,516,225,449,532,033,
674,798,420,540,591,281,455,708,608,255,727,881,579,023,633,085,471,138,735,
892,512,851,429,960,051,914,788,579,954,740,649,500,828,817,321,822,903,312,
977,664,623,625,812,858,310,202,694,861,947,685,238,230,213,491,337,807,097,
121,226,088,148,023,731,445,809,848,821,267,878,738,713,649,961,138,405,725,
445,104,630,257,199,820,351,559,107,595,145,390,509,461,947,647,657,410,358,
365,754,519,081,536,507,059,750,430,223,488,417,579,500,370,198,990,152,240,
788,639,187,257,605,412,581,528,950,144,595,061,377,309,254,148,767,804,014,
950,572,970,629,001,090,017,934,176,880,980,763,297,413,234,001,693,823,000,
953,036,932,263,111,251,683,972,099,954,208,458,511,725,521,542,175,156,879,
471,256,430,642,608,680,019,255,850,700,592,133,258,126,192,402,998,200,451,
814,514,142,725,445,890,151,865,024,952,029,964,291,210,811,303,039,433,786,
396,121,115,641,769,413,217,985,360,266,894,933,267,308,610,243,418,097,008,
766,967,337,040,849,213,323,921,428,210,564,566,465,760,419,348,618,336,346,
034,608,041,033,843,025,167,773,761,810,494,871,881,557,133,448,463,894,493,
565,477,337,502,715,977,628,034,179,493,565,715,374,649,274,059,115,412,503,
075,927,763,067,284,092,301,365,183,136,895,817,259,828,015,368,744,419,306,
959,119,133,293,850,940,275,536,806,742,532,528,283,392,278,144,790,233,247,
725,402,809,028,566,175,374,408,861,249,348,676,628,457,931,943,346,482,803,
927,565,054,373,335,433,394,839,365,716,104,884,530,612,948,017,317,225,869,
266,157,975,775,753,898,069,727,518,733,698,408,549,218,717,500,666,866,441,
625,295,308,056,845,728,970,630,465,660,102,441,318,035,491,569,174,802,438,
285,797,251,960,850,054,883,720,600,946,145,789,820,589,440,077,778,108,284,
238,193,186,986,602,017,717,603,539,911,608,674,255,678,826,768,457,490,406,
770,262,227,215,249,353,646,494,991,356,395,105,409,918,308,223,561,497,458,
173,675,479,128,085,970,761,888,034,446,121,822,077,737,059,185,579,269,616,
134,293,100,353,152,712,574,298,843,266,033,857,846,685,492,735,678,176,865,
430,229,731,039,612,407,063,224,582,750,701,661,538,879,134,350,636,133,214,
072,438,023,501,632,621,267,375,273,291,224,063,593,591,038,487,231,993,712,
670,469,116,399,212,651,889,230,074,468,267,457,266,608,752,226,793,578,247,
675,503,176,845,158,602,572,310,706,246,190,268,738,299,959,429,530,238,172,
207,726,326,569,987,538,313,368,172,742,474,519,650,877,370,674,105,229,816,
056,586,669,835,273,290,589,526,310,025,821,938,448,323,689,647,485,219,927,
893,897,089,487,946,420,930,079,505,357,079,854,492,048,781,368,167,700,830,
717,798,855,824,559,176,261,581,784,456,662,367,635,407,586,892,378,877,725,
339,169,007,028,740,261,810,161,050,741,377,496,971,825,663,161,525,480,555,
512,771,065,331,984,788,642,235,251,747,732,435,840,447,824,233,585,556,317,
192,247,638,277,347,295,694,227,107,221,534,177,578,423,959,149,707,611,947,
914,694,106,136,334,623,878,096,590,539,718,274,773,730,578,206,416,201,346,
845,565,572,207,241,080,407,146,921,001,000,524,978,295,836,394,824,879,442,
575,915,101,103,884,855,815,631,288,305,496,645,919,922,146,653,999,025,509,
681,298,977,913,068,602,507,827,426,099,319,673,133,001,759,882,210,223,370,
183,827,907,112,477,174,819,332,568,073,353,730,033,154,834,038,245,089,709,
914,511,056,537,694,985,199,308,310,742,153,607,631,017,285,441,988,937,801,
486,473,344,632,060,285,714,484,100,979,175,028,946,594,528,575,871,966,817,
515,582,056,883,036,675,020,636,650,507,439,575,413,868,057,197,991,785,738,
877,855,182,268,085,186,748,573,714,663,145,969,241,261,337,825,112,639,222,
602,653,168,880,647,486,554,341,949,792,648,876,382,547,947,681,346,869,707,
430,849,044,869,556,647,314,071,328,344,719,733,222,003,388,824,204,819,157,
869,890,318,426,151,134,838,600,402,506,674,504,322,241,619,127,665,661,632,
159,512,514,418,653,036,695,914,709,430,996,530,118,696,152,525,226,987,759,
395,396,087,135,432,270,801,158,576,086,355,630,885,837,200,604,340,222,548,
854,935,868,141,991,928,093,627,900,468,204,213,719,714,478,971,211,140,005,
996,268,009,212,458,139,958,384,750,059,940,321,859,464,007,406,383,200,314,
091,093,469,936,886,878,806,616,326,076,463,063,104,520,784,476,864,004,170,
856,126,519,317,993,748,222,872,752,605,782,897,392,313,028,185,314,889,810,
132,291,383,563,965,221,994,819,956,243,435,112,969,187,893,993,384,737,546,
803,849,937,977,216,790,271,206,273,977,073,166,679,742,566,216,537,636,363,
976,765,319,461,036,308,927,268,819,330,680,402,292,441,963,926,825,496,106,
632,175,166,187,721,074,587,938,195,504,324,565,800,487,922,251,978,242,451,
935,085,503,652,647,466,574,009,910,435,413,939,070,487,657,174,249,153,765,
093,518,438,511,253,467,113,467,636,317,545,116,309,689,578,361,101,831,717,
407,311,859,652,256,595,149,275,963,676,735,889,348,767,249,071,524,189,216,
603,047,754,362,497,004,238,760,128,474,066,372,385,344,860,524,346,449,748,
627,445,197,703,618,200,437,735,234,280,088,219,479,117,609,337,505,094,255,
063,810,167,581,435,709,253,519,388,310,516,038,869,206,970,822,118,781,176,
515,195,825,319,095,199,408,502,491,172,899,129,001,782,957,283,409,576,746,
112,958,312,372,395,696,165,252,652,291,501,804,309,921,592,903,814,661,119,
210,830,788,989,382,433,409,934,949,560,734,874,854,433,783,833,937,412,686,
407,603,203,713,590,372,951,817,745,853,489,695,105,760,180,752,749,045,706,
927,942,059,666,535,569,720,287,271,457,535,460,574,380,047,392,840,537,046,
800,349,042,363,583,040,449,685,019,201,547,741,471,141,652,414,271,363,364,
203,879,063,542,635,508,747,720,830,053,116,466,160,162,001,675,291,210,446,
639,997,336,572,023,489,914,380,516,914,826,925,797,333,273,198,592,511,638,
893,933,053,215,097,384,514,018,509,653,630,862,852,301,560,071,101,613,857,
656,079,701,965,673,226,776,389,382,187,906,716,179,162,540,176,310,551,653,
775,990,241,695,354,967,608,685,358,496,127,813,342,174,909,983,525,605,594,
683,590,369,375,307,086,331,121,004,041,520,545,479,590,662,031,133,631,984,
165,846,102,164,956,040,719,072,793,316,486,664,622,998,295,439,325,212,280,
953,544,690,194,830,551,689,654,717,294,636,568,598,983,816,002,868,323,920,
148,483,867,918,866,366,023,356,716,514,283,516,298,792,639,464,671,994,171,
987,798,615,985,172,488,043,487,673,977,168,431,662,880,763,453,195,135,925,
855,098,629,082,072,798,681,377,274,511,701,369,895,637,434,175,503,793,590,
363,034,904,429,907,066,264,843,348,090,276,479,718,084,167,939,215,983,457,
711,548,546,528,886,240,069,901,040,399,617,237,091,687,679,078,165,170,442,
374,983,645,184,271,435,748,113,141,223,974,005,606,296,102,017,558,973,855,
344,033,060,855,149,826,285,996,935,542,033,957,399,900,675,207,753,975,422,
880,991,851,047,623,879,209,781,694,624,185,487,486,913,112,493,880,166,835,
046,851,584,449,704,695,923,017,079,001,834,047,378,784,998,514,488,183,177,
196,412,336,917,538,315,485,831,153,963,442,031,111,787,735,148,357,909,494,
184,158,355,410,067,347,445,563,252,474,309,939,283,917,978,547,880,205,187,
375,242,073,159,959,371,443,127,267,759,358,771,988,610,729,296,447,991,355,
307,148,210,370,046,931,203,080,671,721,720,054,995,962,211,098,735,112,818,
386,375,180,178,246,824,842,251,910,396,452,143,605,341,432,905,355,237,217,
367,483,387,490,379,978,379,344,975,315,970,049,539,856,866,176,631,457,901,
853,653,113,038,720,177,894,012,023,120,396,769,137,140,846,385,777,159,839,
527,570,583,457,165,446,070,707,307,255,975,677,494,073,209,561,228,921,097,
326,791,514,691,242,327,649,507,107,869,776,883,228,163,360,773,395,660,773,
606,279,317,412,856,055,266,087,914,817,729,805,137,971,642,712,178,382,776,
910,464,265,304,105,771,655,324,809,506,586,348,352,564,552,763,464,003,169,
027,876,613,367,040,423,667,449,870,952,949,531,881,209,362,160,742,098,145,
386,283,512,762,622,928,642,334,917,281,119,730,508,226,700,355,596,911,026,
809,482,041,436,867,020,882,207,046,829,403,394,094,395,960,621,323,066,733,
638,282,626,872,615,607,556,094,693,714,035,205,341,870,507,808,881,652,738,
148,688,091,384,762,582,426,607,728,526,193,353,961,987,623,729,763,879,548,
471,976,347,936,741,631,385,332,143,784,107,096,904,033,901,241,947,675,605,
987,364,984,949,119,267,315,794,279,759,537,579,781,438,281,240,276,010,987,
179,572,296,984,378,544,735,016,935,011,190,494,247,664,222,830,214,373,475,
791,297,502,351,131,005,791,043,757,560,898,041,459,215,033,640,093,189,918,
380,910,887,628,618,917,673,289,942,581,420,216,418,128,199,568,316,841,529,
909,209,062,355,854,560,681,916,900,789,386,912,899,275,774,495,146,995,718,
749,829,172,460,127,606,629,770,221,225,321,858,767,634,741,343,796,689,400,
476,755,279,738,850,396,565,294,782,734,500,803,174,206,987,734,145,052,388,
752,495,674,836,218,956,389,818,117,051,335,794,224,050,175,756,016,239,207,
838,845,761,689,449,073,649,820,203,389,928,243,498,827,103,358,357,853,196,
360,931,454,088,934,353,842,352,547,278,391,650,453,390,814,009,559,781,607,
917,466,082,479,973,111,380,980,722,591,896,211,049,818,034,516,303,555,482,
402,406,900,409,934,760,904,153,741,108,930,784,757,420,679,788,215,554,069,
519,660,665,209,954,877,994,347,152,283,393,028,447,213,601,369,187,467,249,
378,645,205,710,120,789,157,798,591,341,763,514,942,395,223,882,044,647,576,
712,188,148,893,075,085,430,924,960,341,529,292,579,943,536,148,811,597,100,
719,618,963,411,935,051,219,522,946,559,383,089,469,060,842,004,992,113,310,
069,576,035,275,455,970,042,637,242,309,848,474,429,786,320,319,371,598,804,
725,623,941,426,122,997,158,957,981,725,260,526,756,003,271,281,341,649,545,
267,718,192,144,001,547,049,233,523,318,741,428,824,947,252,961,775,036,184,
809,994,276,041,521,102,586,604,317,609,152,249,212,662,966,210,387,432,479,
410,965,056,963,575,307,269,224,225,205,227,277,684,901,027,318,604,425,058,
455,541,740,356,138,998,082,838,767,181,906,834,471,179,960,237,703,272,785,
820,114,250,405,583,814,803,762,074,352,402,937,425,425,801,712,919,600,602,
542,330,031,735,691,843,995,999,524,085,587,866,732,976,782,258,655,372,788,
822,897,321,069,065,001,057,549,253,974,734,323,710,421,695,719,016,428,787,
587,296,157,267,521,023,514,194,761,400,900,394,031,073,425,834,281,689,692,
175,875,909,379,008,460,736,081,719,841,610,099,383,705,245,131,329,471,975,
583,739,419,083,593,213,701,106,456,710,445,019,595,510,240,128,271,229,808,
442,643,068,285,825,573,211,787,410,687,551,064,687,362,172,293,194,306,253,
829,908,805,076,860,638,702,739,657,095,568,919,477,932,653,413,132,176,918,
799,036,134,174,795,253,200,098,310,376,930,982,903,266,382,632,575,464,500,
520,992,359,332,992,166,177,714,975,039,076,504,026,269,323,617,731,241,933,
693,491,686,963,953,901,463,446,443,536,677,687,035,601,767,768,801,004,253,
853,221,933,619,788,161,976,187,587,008,691,883,012,546,647,434,939,795,350,
948,404,920,659,594,412,118,131,539,361,529,506,479,715,542,550,070,412,599,
325,839,020,748,821,327,300,757,524,197,213,177,840,109,469,883,623,075,553,
997,459,212,400,538,640,849,981,565,025,185,005,599,192,150,205,342,412,826,
911,558,140,144,260,308,158,718,884,620,360,026,363,335,473,876,226,953,963,
838,376,250,571,407,446,315,278,870,169,274,739,154,090,737,825,594,893,818,
427,563,591,814,483,424,646,661,882,463,135,627,296,701,731,309,660,153,804,
271,264,538,023,479,547,207,146,426,348,269,137,352,162,186,870,872,238,080,
832,759,342,163,885,735,892,934,442,154,362,503,010,728,640,123,371,991,770,
162,878,574,881,336,762,943,869,734,770,721,008,306,557,544,479,716,172,424,
077,612,252,600,156,931,944,398,002,656,049,833,781,265,498,124,262,279,780,
359,642,466,228,720,080,819,158,255,937,492,275,912,841,567,659,077,960,576,
619,753,038,466,081,841,644,465,370,415,613,855,086,965,047,285,158,065,610,
181,688,938,993,468,795,643,680,558,968,495,948,660,249,548,280,617,561,425,
157,909,088,768,511,602,674,184,087,620,569,719,255,871,913,410,758,107,682,
173,798,752,047,756,052,363,834,393,246,695,740,550,664,814,823,071,746,978,
105,474,111,508,606,643,181,385,911,919,347,054,115,376,755,080,204,864,532,
996,133,498,644,001,899,992,070,698,787,876,884,100,800,795,637,724,837,745,
687,240,538,908,269,923,518,114,185,367,392,222,002,625,300,086,689,152,147,
981,191,359,664,501,365,234,337,409,431,329,002,155,215,082,885,739,615,410,
394,521,705,850,254,249,528,417,746,936,515,449,056,815,284,609,267,982,643,
628,226,437,668,871,981,898,253,650,047,557,373,860,469,180,515,950,349,453,
712,009,330,158,304,832,342,785,367,054,477,901,449,611,433,399,312,722,695,
978,718,444,811,018,805,166,864,385,995,990,791,384,655,450,486,076,848,177,
655,657,912,248,953,772,925,380,463,514,281,733,608,162,467,849,061,388,514,
584,451,669,537,417,070,686,613,436,135,413,201,346,915,526,729,978,530,854,
748,768,294,282,454,300,778,112,572,705,554,996,068,517,035,675,518,830,030,
931,815,582,855,170,903,566,891,171,291,009,923,274,426,119,332,140,669,391,
455,641,336,058,162,644,106,912,472,217,719,128,404,765,538,749,941,831,591,
004,586,276,304,457,995,426,274,057,880,066,344,227,769,316,308,035,750,877,
552,631,423,639,340,378,369,037,501,295,082,581,246,532,654,817,579,994,626,
737,770,706,093,195,528,953,338,108,988,523,922,584,583,002,992,296,174,512,
393,586,701,748,037,223,362,811,395,507,476,319,426,989,959,275,089,738,193,
782,110,393,637,268,377,294,648,828,748,247,476,353,871,793,765,223,864,365,
257,854,817,593,267,413,039,715,170,147,692,314,601,621,659,694,106,894,591,
297,060,936,214,491,264,765,135,547,469,915,508,456,535,337,862,952,670,733,
180,919,547,589,197,707,788,084,131,964,901,410,243,209,537,507,865,100,551,
436,768,611,036,013,371,086,119,281,157,356,651,218,955,235,470,359,472,758,
460,364,177,124,966,786,058,438,301,336,094,625,061,862,995,837,770,753,575,
414,892,431,095,943,424,379,859,194,009,445,823,225,024,330,648,144,413,048,
169,536,069,855,044,908,506,772,686,551,261,610,036,992,458,772,551,118,868,
233,376,030,233,170,167,119,178,136,917,267,669,539,524,185,268,894,396,233,
858,747,669,435,903,505,989,208,602,761,182,028,402,222,693,997,468,782,241,
397,330,835,498,747,571,201,119,169,146,540,586,271,984,789,659,798,463,774,
944,767,589,077,867,942,335,826,428,682,360,391,363,341,736,778,328,872,146,
690,077,161,379,098,639,089,046,609,576,819,588,429,302,617,879,566,076,119,
010,468,577,313,975,661,242,614,713,594,157,022,497,681,237,040,918,268,611,
200,659,836,182,560,219,733,137,502,625,123,768,066,493,843,573,282,361,779,
730,727,420,167,032,564,222,292,492,441,564,720,770,131,008,419,939,845,777,
759,990,398,660,374,558,504,347,423,053,274,937,824,583,509,717,604,218,959,
606,128,440,778,523,012,985,144,799,845,305,832,643,737,766,518,509,048,589,
913,857,691,083,753,454,858,610,587,495,812,994,527,198,115,311,906,500,982,
082,121,686,583,424,155,573,829,945,796,679,477,252,648,186,437,118,352,218,
379,369,562,799,432,205,351,388,815,552,203,412,298,957,747,576,139,293,370,
390,156,442,503,364,370,797,305,978,591,636,527,139,947,872,233,942,813,608,
218,142,756,126,438,617,629,380,670,125,666,193,438,993,021,665,295,315,925,
335,128,921,382,776,698,361,965,528,811,360,911,389,166,386,683,722,012,874,
708,414,467,481,170,283,561,571,154,909,605,806,270,067,421,000,259,958,115,
623,765,511,287,760,381,844,240,282,517,636,089,112,254,481,436,334,828,541,
570,929,119,454,869,244,161,173,172,078,551,052,639,629,802,437,359,303,643,
533,114,423,765,338,805,210,184,613,135,976,442,203,392,685,559,236,142,581,
409,720,658,433,854,700,559,744,471,625,377,085,128,879,196,569,507,632,603,
152,575,352,797,876,113,296,532,625,993,967,370,921,963,231,230,739,314,475,
343,974,993,268,106,577,405,115,220,160,773,121,958,425,924,124,578,241,795,
919,281,659,439,443,691,518,597,246,570,119,026,035,698,917,760,473,094,654,
601,838,643,046,348,398,191,593,545,742,671,747,841,864,606,336,083,568,364,
205,562,081,502,407,823,318,923,655,720,202,284,854,282,612,375,328,272,737,
041,621,175,839,818,971,625,912,699,859,438,324,018,160,617,135,237,778,785,
792,179,547,405,170,942,869,522,334,352,175,201,451,567,131,805,215,516,633,
422,635,195,262,129,642,793,696,344,459,792,971,220,126,129,721,646,066,631,
412,676,572,004,721,257,661,507,172,687,095,461,695,769,592,266,183,455,933,
435,434,784,993,276,042,025,118,628,163,817,854,760,120,679,779,434,447,669,
962,053,300,843,315,959,779,076,319,466,251,085,937,297,684,995,959,893,923,
188,419,591,584,843,624,004,602,179,981,875,031,743,396,209,791,273,282,807,
420,934,265,579,139,813,757,746,132,987,376,925,865,860,399,661,130,495,503,
020,906,575,291,918,350,300,600,187,595,823,973,328,372,046,149,998,097,889,
085,833,466,386,810,326,706,095,785,644,304,004,765,063,586,975,376,275,819,
770,872,837,349,490,808,751,186,077,111,938,438,774,328,239,170,304,119,641,
516,179,660,652,643,792,323,604,058,511,073,415,067,042,517,840,893,909,975,
920,015,362,131,799,600,046,985,572,855,797,434,977,524,014,335,817,715,390,
664,912,659,795,097,015,787,240,020,281,451,896,039,574,241,197,093,675,493,
776,775,575,348,989,804,319,278,734,449,439,529,976,985,313,963,110,477,824,
898,623,636,770,716,190,061,046,522,409,660,044,925,308,561,872,060,857,735,
805,839,880,476,336,095,549,821,125,504,569,190,389,503,731,794,112,418,501,
664,256,064,239,149,038,937,159,330,446,654,191,153,956,221,165,835,682,045,
277,530,575,640,560,939,397,216,337,200,169,032,395,114,926,137,180,539,310,
253,184,352,699,642,796,161,234,982,346,009,941,806,057,712,632,361,371,236,
293,952,359,638,605,818,560,560,072,985,560,014,991,858,515,486,306,193,165,
231,803,153,003,453,829,356,145,070,151,041,854,414,525,972,795,306,443,315,
204,609,503,328,944,648,786,710,729,453,831,734,562,795,797,383,197,179,926,
382,768,308,519,507,305,632,860,348,429,291,337,881,702,280,912,836,845,328,
757,111,959,115,380,199,499,530,653,629,983,374,874,983,334,285,202,971,597,
293,091,521,178,313,636,764,510,762,789,122,317,930,384,015,819,881,863,045,
331,416,835,233,647,659,646,471,289,984,984,573,482,197,824,687,296,068,649,
546,260,337,050,361,426,912,989,895,471,697,126,369,557,119,874,331,704,120,
649,598,794,601,057,312,633,879,394,900,732,519,854,506,819,768,238,683,178,
256,272,954,471,812,936,085,380,775,641,532,440,183,643,362,172,523,275,035,
311,175,088,699,028,269,041,416,817,974,993,831,759,971,607,942,660,142,387,
541,218,363,935,856,947,504,275,280,197,941,346,723,835,660,239,037,509,995,
547,839,782,850,889,882,372,300,229,539,266,292,248,400,027,648,646,894,344,
855,436,960,219,857,577,180,834,644,900,528,254,403,828,124,875,552,930,642,
786,118,507,499,572,517,001,120,997,231,532,286,825,884,317,954,271,871,809,
194,509,149,113,591,931,134,576,989,386,196,048,324,382,023,874,112,121,316,
346,545,565,721,202,971,553,097,338,717,353,943,904,954,933,001,199,205,937,
882,530,351,382,763,945,342,160,372,569,638,912,813,501,338,646,499,940,382,
792,738,827,797,459,150,551,342,091,851,824,235,580,842,024,365,332,274,395,
991,976,175,195,014,631,251,448,447,039,309,754,937,936,090,785,269,638,027,
682,639,771,200,444,578,377,439,387,040,080,051,438,562,761,200,223,538,453,
655,437,183,584,300,262,783,012,100,247,218,775,818,388,751,796,910,746,918,
608,465,518,527,860,483,817,761,158,273,965,006,863,897,261,120,832,996,285,
504,451,533,431,657,027,087,630,088,779,027,288,993,021,117,922,653,592,151,
073,127,384,027,380,470,423,734,132,140,820,656,763,370,181,453,258,391,973,
738,428,250,231,901,496,742,315,868,632,972,267,451,635,176,772,208,111,497,
950,133,473,703,345,381,577,830,988,173,944,014,288,129,509,704,835,706,201,
262,219,155,826,608,560,434,290,523,913,193,478,491,603,196,790,583,648,736,
983,452,037,999,554,940,731,228,576,768,731,511,524,855,091,398,837,803,303,
868,948,093,767,961,397,375,863,695,669,479,706,780,982,763,901,512,418,205,
769,380,654,327,817,471,098,996,389,386,020,280,906,348,121,949,206,084,119,
725,344,613,089,328,100,674,967,660,523,561,138,646,592,758,489,116,116,447,
762,681,313,974,397,567,477,360,994,211,980,156,358,928,546,753,997,376,179,
422,348,359,297,278,537,457,778,378,460,920,707,384,309,731,405,463,001,058,
193,106,801,516,978,424,826,969,059,844,578,541,193,369,848,251,857,274,420,
807,891,031,966,250,733,863,044,311,460,012,720,977,919,209,316,949,596,271,
398,464,999,109,537,787,862,008,756,114,706,889,302,572,149,534,958,996,939,
601,680,751,113,591,748,025,317,646,480,783,235,796,139,813,441,347,493,254,
580,358,445,324,561,389,439,986,686,007,531,209,462,364,720,619,628,846,941,
838,783,045,688,988,749,210,611,228,395,693,552,682,884,879,803,451,198,162,
203,554,235,246,984,653,952,927,334,781,651,921,543,575,968,115,510,747,914,
936,207,371,600,476,071,018,322,919,643,388,075,729,912,366,800,913,274,721,
025,717,423,314,404,226,676,920,157,453,845,256,363,737,755,551,860,292,190,
770,525,171,314,097,070,538,382,256,324,574,953,767,617,790,613,654,690,321,
237,017,774,173,559,625,432,052,806,767,352,911,525,974,960,053,993,703,816,
424,185,784,038,098,344,070,924,967,291,367,046,125,563,115,220,326,232,954,
927,053,479,058,863,872,868,559,841,598,486,292,739,097,798,060,139,833,593,
080,434,111,477,948,931,636,219,512,408,459,837,156,212,966,575,736,259,678,
837,459,447,836,266,999,140,652,737,799,169,261,846,540,245,713,939,921,429,
430,215,755,006,677,010,590,545,557,392,342,799,221,659,770,657,563,145,869,
171,086,617,451,626,227,383,503,634,558,368,222,835,087,321,805,537,235,045,
835,061,480,448,845,376,190,173,137,598,865,364,472,019,019,494,877,337,004,
098,070,608,294,797,682,870,480,380,693,754,298,056,496,771,306,786,933,472,
156,078,972,295,810,612,864,450,412,425,103,224,727,675,097,135,121,819,452,
085,136,857,586,473,731,743,753,948,124,589,127,485,747,311,868,154,790,894,
905,791,762,561,917,806,680,141,084,006,620,239,342,176,203,687,271,073,103,
081,898,278,314,796,004,214,024,756,116,656,447,991,421,307,699,002,891,642,
895,077,192,642,460,421,544,768,282,185,057,707,313,719,201,985,519,137,508,
563,324,551,160,835,794,046,714,190,863,970,310,433,228,434,612,758,329,585,
699,428,943,982,725,442,683,430,988,619,595,950,270,925,960,159,644,336,688,
441,594,461,038,051,716,239,065,651,597,331,540,274,126,599,233,201,198,596,
994,597,504,753,007,116,001,196,420,377,001,106,756,870,486,347,189,429,558,
036,776,924,379,497,636,505,317,449,934,948,528,326,064,923,207,712,099,477,
250,035,150,557,374,699,330,910,975,247,545,021,509,714,200,531,128,268,617,
215,270,151,064,439,302,257,530,088,595,233,243,553,598,679,584,497,664,527,
143,442,431,541,849,856,790,330,136,601,435,518,364,024,890,654,291,434,274,
526,056,368,662,504,580,691,888,832,643,740,228,019,984,085,815,982,881,775,
419,415,607,374,425,152,314,010,379,713,487,420,216,808,075,568,372,325,394,
085,338,202,281,929,815,809,535,732,980,611,272,629,877,917,538,921,806,080,
288,575,955,125,870,886,085,088,173,226,132,292,092,886,099,111,262,423,992,
374,745,070,020,597,984,652,180,076,737,099,215,153,312,311,407,331,664,234,
936,364,888,012,327,892,385,008,430,296,519,279,641,102,071,253,472,430,579,
965,819,961,104,231,596,420,820,805,656,757,515,903,484,181,426,605,410,281,
326,662,563,221,704,001,553,998,459,698,748,603,972,362,676,774,487,434,843,
873,399,242,653,817,085,477,428,931,675,095,056,907,245,864,102,562,002,971,
341,669,410,788,716,752,767,672,400,181,240,419,430,215,981,348,145,992,563,
444,493,268,147,617,005,425,064,501,674,283,577,635,851,255,102,616,037,590,
378,065,291,438,790,539,165,836,865,024,024,825,026,044,805,664,270,023,562,
823,122,147,714,161,713,094,767,212,128,978,535,497,561,922,769,233,352,754,
728,083,380,817,650,893,346,956,973,133,612,844,644,789,376,086,882,109,616,
625,913,592,913,698,153,540,897,923,384,467,632,298,958,076,487,393,882,960,
325,724,382,163,051,841,194,196,715,850,717,072,944,177,930,016,827,238,862,
572,458,802,832,506,655,824,776,018,119,394,523,757,413,194,259,970,317,642,
904,174,708,721,561,524,039,022,736,807,963,456,551,752,128,095,551,993,054,
749,709,706,501,135,555,851,353,156,212,140,256,856,769,780,880,737,531,872,
457,174,832,842,037,159,866,239,656,617,813,738,177,100,977,282,014,691,153,
454,729,425,582,891,082,858,522,119,832,295,653,010,705,319,092,235,417,396,
314,186,867,347,922,267,885,732,514,561,112,258,214,388,226,837,966,770,346,
012,575,517,777,066,855,556,471,104,303,337,509,990,101,855,573,525,750,562,
206,638,999,778,697,879,920,155,871,380,151,628,016,076,075,649,623,166,926,
531,587,710,899,438,801,089,735,012,729,673,170,590,338,421,488,669,777,997,
274,363,041,081,767,721,744,196,850,108,482,029,605,197,494,037,830,941,342,
224,375,971,958,478,896,226,331,522,780,979,872,646,097,199,839,530,717,203,
723,270,842,876,050,441,653,887,010,706,306,889,157,131,389,214,758,770,999,
204,774,917,667,179,644,992,231,178,941,508,956,041,487,354,447,714,640,639,
294,328,077,189,827,463,713,811,403,030,758,779,067,061,206,326,519,822,058,
054,221,439,314,979,856,659,951,404,714,405,090,814,055,745,162,649,508,709,
007,165,116,345,355,864,041,287,916,688,586,101,330,460,707,006,175,135,574,
806,416,337,716,323,814,399,983,298,226,172,964,946,287,253,785,384,487,433,
989,386,030,837,262,355,419,761,703,157,309,482,064,691,337,436,645,779,792,
725,537,446,749,858,907,275,749,782,728,022,882,339,178,123,117,996,821,959,
057,236,604,704,527,077,588,408,861,173,857,620,311,417,002,508,164,179,045,
215,067,935,189,479,556,142,681,480,486,766,816,587,368,640,607,697,233,156,
871,939,586,393,717,274,639,699,568,370,206,068,292,709,348,866,244,366,683,
870,014,489,063,952,746,663,477,958,876,119,375,605,148,194,939,746,247,268,
143,843,082,619,669,110,222,426,414,754,589,460,934,907,306,965,084,666,102,
595,694,058,818,664,470,396,836,135,359,359,761,954,651,107,071,035,784,632,
848,700,980,659,700,561,697,615,748,736,322,818,388,148,699,786,664,828,144,
667,295,775,898,421,228,850,552,126,212,037,220,717,403,739,129,548,904,060,
027,822,191,645,061,745,936,968,917,296,656,474,139,169,337,526,140,149,491,
663,438,213,142,849,425,462,246,660,794,437,376,533,988,234,932,557,685,188,
310,647,081,916,330,731,649,425,994,369,482,100,343,001,518,474,372,833,940,
452,567,549,043,180,066,423,775,515,049,189,204,875,259,808,693,287,379,063,
200,278,239,295,026,959,581,280,382,744,326,878,270,137,961,021,199,528,220,
628,101,395,746,342,567,698,390,049,669,628,634,936,389,845,637,384,033,939,
197,003,724,265,831,607,067,946,825,927,414,054,474,846,763,955,248,860,048,
027,894,873,083,130,454,619,077,584,886,338,972,677,695,894,813,448,822,155,
227,985,369,396,741,401,898,971,204,282,046,053,348,492,740,745,048,795,750,
441,122,966,877,891,163,866,712,625,425,615,316,019,095,262,133,171,004,895,
549,069,952,948,948,331,179,315,640,793,129,714,654,802,786,664,038,089,834,
979,147,267,527,762,045,775,754,484,230,616,684,029,322,431,877,267,768,283,
006,872,618,280,567,349,757,236,051,214,288,093,428,425,523,298,754,114,559,
950,072,155,944,806,612,890,732,275,463,261,091,999,637,020,513,030,084,748,
662,665,853,015,091,257,112,925,755,170,724,211,216,876,463,804,676,433,889,
610,858,885,188,462,289,028,479,146,522,001,162,991,184,998,454,965,783,435,
620,127,804,267,542,179,175,820,018,772,152,757,010,919,429,661,590,902,356,
532,971,797,851,596,641,133,786,114,785,324,930,354,752,560,262,675,862,311,
145,260,975,600,555,986,685,777,976,183,997,346,357,804,173,061,066,297,152,
479,154,695,296,456,159,530,331,207,129,969,120,931,181,874,792,364,246,902,
320,741,255,254,031,884,884,544,029,914,949,712,550,883,234,579,503,894,857,
761,360,980,591,498,685,843,976,940,822,205,526,981,502,220,426,234,596,677,
366,960,093,079,975,149,206,031,498,338,317,400,753,776,853,463,433,874,493,
956,735,408,176,781,188,726,518,655,691,932,010,907,214,390,703,452,355,803,
029,051,155,650,625,182,259,179,286,177,122,927,514,185,089,582,514,868,933,
356,583,990,976,754,022,634,701,597,533,441,591,276,431,177,290,182,608,840,
889,856,283,116,048,129,951,530,987,127,070,290,408,862,808,300,828,588,000,
464,436,925,997,533,824,577,734,768,457,948,281,112,363,906,367,848,991,205,
428,473,052,843,568,772,364,680,556,472,348,013,636,376,989,497,262,023,579,
001,636,074,821,051,033,261,366,213,750,608,731,235,126,993,433,978,415,319,
933,488,570,330,856,574,952,231,687,240,569,281,055,202,192,442,593,324,437,
445,486,367,942,525,313,714,764,858,557,192,439,669,801,511,284,043,291,378,
532,472,362,699,892,064,901,951,593,155,006,873,517,913,783,817,326,399,468,
661,392,075,816,510,332,072,920,148,421,563,658,559,132,859,287,165,590,734,
853,608,533,642,152,467,909,243,147,654,274,887,911,273,141,724,178,645,514,
178,323,791,579,719,380,630,887,062,486,974,024,745,183,986,020,744,850,911,
027,163,073,160,136,160,124,175,615,744,671,133,051,301,354,850,692,518,507,
634,901,247,388,725,624,151,597,612,669,967,125,671,891,284,047,849,108,664,
425,378,625,192,310,933,336,063,078,464,238,050,071,311,455,110,056,717,595,
858,690,917,946,342,177,405,061,981,144,103,903,335,814,807,258,831,274,938,
617,517,617,254,164,654,279,223,751,949,202,750,861,328,157,078,785,378,117,
544,769,812,721,385,452,436,846,060,989,359,617,608,997,848,978,079,193,834,
403,752,241,770,512,311,464,475,328,545,537,008,883,916,298,128,942,680,041,
016,448,951,135,502,318,337,878,411,838,433,479,321,859,052,228,135,126,018,
644,324,166,415,060,056,703,438,412,467,206,448,058,849,433,376,746,832,061,
334,251,876,590,347,333,697,248,279,944,274,907,564,811,233,808,579,943,626,
161,142,046,043,751,529,718,326,836,278,450,992,198,075,943,391,562,857,220,
506,525,644,940,727,796,336,668,179,319,125,299,302,125,818,798,917,230,898,
027,064,344,874,250,154,792,764,542,603,855,773,996,793,242,634,777,766,869,
987,093,839,070,482,811,589,806,754,175,050,875,976,045,267,950,260,562,005,
373,979,443,620,114,981,652,910,504,079,004,079,562,139,535,637,985,367,798,
249,003,672,043,986,001,718,437,515,503,084,402,958,148,287,655,249,557,842,
532,741,030,932,573,492,662,910,653,537,728,739,741,385,282,366,870,267,530,
067,010,489,136,382,155,651,579,016,566,778,652,166,073,168,191,779,928,974,
914,207,652,181,582,739,413,852,271,805,368,860,066,467,494,533,735,569,080,
374,237,070,589,538,439,151,089,614,480,874,141,011,633,251,949,564,769,057,
926,827,453,909,378,829,367,603,746,327,071,049,818,369,432,428,608,510,275,
480,330,335,036,469,844,244,367,005,062,568,973,687,975,332,752,838,666,928,
091,815,424,372,960,010,257,319,838,841,581,395,890,330,186,441,522,679,471,
867,137,242,008,098,670,894,726,023,345,906,656,274,784,298,490,237,876,798,
027,668,155,051,221,145,738,890,656,736,827,182,303,477,540,713,175,156,747,
288,130,104,413,615,886,328,079,801,828,870,368,656,589,333,683,396,197,754,
322,787,369,062,193,451,182,867,092,057,156,919,286,294,264,699,657,660,024,
563,929,870,398,907,258,843,899,277,157,326,229,394,684,382,601,584,525,891,
228,963,808,597,061,332,520,697,666,055,942,026,162,074,983,951,832,232,979,
548,974,827,778,578,379,559,600,175,360,207,487,186,531,092,520,439,919,469,
548,287,982,592,582,095,858,148,103,993,657,528,640,345,080,206,603,316,982,
490,680,633,548,446,337,271,252,393,098,799,697,646,012,645,867,308,439,962,
796,392,167,266,513,987,398,019,575,380,222,946,827,655,535,531,167,715,392,
226,304,197,443,898,025,501,060,078,618,780,824,019,668,127,289,749,507,296,
330,857,253,431,174,837,308,684,670,018,234,889,883,920,094,553,166,030,532,
186,757,805,754,340,362,383,556,766,613,056,120,636,321,875,710,077,677,539,
610,148,359,652,172,653,839,844,430,473,539,075,403,057,333,170,624,832,726,
348,428,357,494,852,394,560,191,154,834,789,454,745,986,570,293,222,236,278,
073,543,172,179,919,129,870,748,863,733,639,678,720,424,874,167,479,631,847,
045,585,589,594,521,516,027,440,514,341,679,733,848,859,624,336,449,199,532,
566,195,806,958,445,418,112,759,652,840,514,486,244,489,189,359,685,036,322,
034,392,390,812,854,036,567,642,823,167,930,873,658,731,415,501,301,066,527,
218,342,917,109,649,506,410,390,141,226,684,305,564,701,972,487,572,157,293,
437,724,593,581,472,904,634,255,074,006,479,795,286,461,618,056,989,207,146,
116,097,292,937,224,705,467,477,107,271,417,264,212,761,553,569,165,302,092,
687,890,948,336,054,164,595,481,653,057,296,611,830,590,457,688,681,498,420,
328,627,785,971,927,298,010,722,246,071,316,741,048,828,635,092,198,075,402,
094,257,479,846,400,916,103,481,390,088,074,149,322,251,649,960,428,893,534,
361,815,529,402,382,063,095,114,372,519,567,808,158,184,021,277,286,590,804,
489,523,176,460,403,041,610,154,849,160,420,017,064,561,977,245,565,660,051,
443,995,161,730,025,316,228,849,816,106,368,504,663,949,319,313,311,124,287,
123,395,635,248,901,432,708,161,264,983,402,478,261,697,674,194,279,478,231,
948,561,139,779,399,643,587,855,508,166,032,141,773,647,528,860,790,576,108,
193,203,927,977,718,774,332,242,751,161,175,819,958,623,648,262,698,572,633,
769,975,181,064,868,366,083,276,258,018,479,728,892,360,480,670,194,891,675,
689,849,155,063,632,959,505,258,926,882,489,972,754,852,840,785,244,941,721,
292,324,254,493,100,423,141,181,247,412,265,528,684,189,466,268,986,111,521,
554,289,084,400,884,754,738,916,261,617,331,999,236,121,572,291,063,280,342,
955,908,233,585,298,145,496,289,732,694,932,711,590,171,674,705,667,046,816,
251,948,984,267,325,643,693,914,393,061,059,267,515,272,536,977,783,485,319,
482,678,572,352,990,690,055,155,246,347,448,101,929,608,597,783,044,141,194,
623,627,634,107,287,082,649,453,844,781,328,545,940,116,978,902,187,736,136,
050,077,920,851,605,760,877,382,123,958,251,623,387,900,046,957,441,232,820,
357,374,117,170,566,073,785,151,305,447,736,624,207,748,555,495,563,894,347,
734,573,040,060,977,319,091,746,416,664,881,880,043,683,648,282,028,856,291,
345,718,889,828,407,881,773,577,149,962,455,699,820,119,868,583,189,448,499,
495,068,538,295,019,281,540,239,134,572,666,408,390,873,222,520,974,225,000,
910,523,716,593,222,324,032,587,080,870,908,371,756,879,197,170,865,032,242,
451,016,716,961,924,222,858,361,045,273,364,451,366,131,435,650,624,077,159,
323,540,503,903,549,809,409,055,578,930,140,701,006,171,026,985,720,191,597,
941,972,717,964,531,659,219,037,016,993,247,768,646,958,580,639,786,148,070,
240,777,626,680,042,550,246,872,404,719,753,618,292,330,014,161,078,271,921,
656,089,009,955,829,501,761,743,418,431,997,439,908,401,703,760,859,778,405,
352,864,197,576,681,995,148,458,106,809,320,100,487,882,157,952,083,675,337,
113,427,119,520,239,185,449,344,779,747,238,063,458,757,572,909,380,099,852,
639,237,311,020,526,920,586,925,014,743,176,350,074,692,640,229,373,455,104,
287,204,578,574,934,925,128,847,106,759,131,926,728,052,986,719,708,985,836,
354,950,180,825,260,976,921,917,897,345,082,766,945,118,474,717,594,192,614,
399,674,489,675,361,257,805,055,464,210,566,958,688,001,342,200,816,147,926,
127,487,319,310,264,852,347,489,571,148,268,487,317,012,214,964,524,413,157,
364,998,137,051,002,529,818,497,385,068,743,713,125,387,195,417,219,991,226,
449,944,936,723,511,805,261,712,482,442,815,604,133,764,804,927,239,897,587,
156,989,484,298,728,180,814,613,171,102,568,978,472,351,915,558,353,221,850,
659,810,164,011,540,586,237,515,661,018,754,860,124,294,334,259,330,364,794,
655,178,430,949,068,528,545,125,505,869,621,298,555,371,277,441,382,165,185,
890,155,063,067,825,496,986,551,590,536,259,889,729,003,516,584,898,187,975,
437,825,585,584,030,067,185,930,645,251,578,418,694,589,132,459,419,893,504,
605,345,282,117,651,085,836,087,837,620,367,320,298,319,600,890,012,874,560,
067,863,244,664,700,513,740,695,125,120,849,251,345,305,889,587,696,800,229,
050,032,355,756,464,417,256,373,070,379,699,442,516,868,989,159,765,362,171,
425,158,958,922,901,630,476,071,609,954,832,628,421,742,654,882,014,922,161,
753,957,037,931,989,610,404,787,806,833,279,156,508,299,638,778,855,039,864,
677,097,062,955,281,274,983,778,888,079,478,854,988,933,906,916,216,401,577,
286,637,664,509,410,533,433,118,870,646,200,199,969,850,172,588,954,719,635,
902,812,134,717,008,294,275,863,386,411,918,832,027,180,652,729,509,195,587,
345,310,341,850,095,906,738,913,782,424,034,655,435,898,453,191,094,549,819,
667,017,405,641,994,689,636,950,821,435,406,280,263,151,716,222,994,412,605,
700,020,600,208,113,911,644,603,252,934,741,259,456,361,729,319,365,293,925,
862,634,486,538,310,290,521,462,004,056,742,476,631,997,171,663,579,778,527,
066,288,154,492,906,265,352,923,732,428,988,206,797,280,664,939,190,628,558,
926,009,355,698,683,408,438,725,247,231,564,029,341,717,294,705,280,525,653,
851,678,176,033,043,931,276,406,877,575,010,608,755,218,044,695,559,837,060,
026,126,568,111,687,656,803,044,423,912,508,621,055,145,689,054,035,085,921,
160,127,491,663,788,944,740,887,647,918,421,310,517,638,667,328,906,740,910,
172,553,737,801,686,422,815,747,103,795,930,294,039,676,815,116,579,879,498,
876,294,072,434,190,356,119,103,695,065,086,332,890,193,979,150,136,418,427,
299,131,026,364,198,116,340,043,666,700,065,964,861,934,460,621,224,175,314,
419,701,618,557,304,275,231,579,086,889,725,860,767,761,277,043,010,762,566,
648,749,151,870,232,115,466,479,739,432,840,685,008,192,175,649,243,564,465,
645,027,096,823,749,345,938,609,701,571,465,119,073,262,448,524,132,297,369,
240,122,115,601,160,086,415,534,175,051,853,214,124,230,428,172,599,049,325,
535,380,041,893,715,152,720,665,274,750,465,097,814,919,570,638,613,420,460,
066,594,242,157,175,985,057,308,576,423,882,247,937,812,793,169,778,885,176,
354,084,845,735,612,917,935,662,793,718,854,494,731,735,969,849,807,625,275,
462,527,249,404,319,986,313,351,568,714,159,693,411,499,673,467,564,292,921,
761,168,859,170,202,690,621,304,144,095,351,670,648,340,575,656,872,373,445,
251,977,927,095,249,011,047,210,639,442,289,987,209,999,993,813,206,640,895,
033,491,528,406,450,647,339,652,527,772,002,123,195,397,552,796,396,267,556,
218,665,568,796,008,786,105,297,984,859,522,305,827,643,935,684,371,359,680,
386,983,480,306,123,289,171,432,521,123,208,386,116,621,552,564,601,145,778,
286,879,664,498,754,822,453,382,321,597,536,391,057,988,337,456,420,359,090,
632,709,622,511,204,026,932,195,464,713,748,612,144,786,392,179,586,831,798,
314,977,889,289,768,562,357,909,579,296,441,176,026,233,052,646,853,080,192,
328,879,384,185,103,360,198,348,402,185,540,039,390,289,409,358,916,672,643,
702,616,275,456,878,718,042,174,507,033,774,604,888,789,245,349,115,098,018,
336,271,958,878,490,991,359,575,550,967,353,341,996,213,845,582,915,718,273,
173,670,661,609,034,185,316,830,100,615,527,051,387,695,329,282,793,909,645,
067,265,615,555,266,734,130,302,242,284,085,233,502,478,323,443,804,851,827,
815,462,290,601,251,398,613,702,825,365,271,105,504,896,555,715,258,751,735,
003,019,408,388,353,226,868,992,059,990,825,584,861,188,280,317,544,676,267,
507,534,804,376,741,432,143,476,724,147,262,355,252,437,051,037,044,814,792,
945,174,283,612,272,792,941,307,824,378,525,975,017,873,638,503,443,654,826,
467,396,282,586,612,302,560,937,053,272,216,952,954,276,889,435,321,270,380,
727,963,173,928,364,027,680,649,368,518,125,242,947,774,579,048,113,561,374,
721,589,072,479,607,014,920,488,949,025,970,931,609,090,663,371,654,435,673,
719,066,481,942,617,416,243,926,087,255,501,986,855,923,722,932,308,992,520,
022,011,155,951,116,665,063,086,601,410,218,414,198,970,668,829,164,634,968,
485,086,341,174,616,542,082,945,376,872,643,381,517,741,309,694,088,652,223,
464,620,372,276,019,333,484,414,705,120,124,880,608,780,395,547,578,616,102,
654,163,914,070,291,727,979,310,641,104,455,030,495,701,249,322,554,790,841,
561,046,485,755,037,122,274,450,678,730,966,269,009,400,467,040,314,326,519,
537,547,381,730,963,367,485,147,177,861,603,000,370,277,670,933,065,751,025,
286,902,666,813,028,141,041,275,111,246,005,734,960,126,969,311,756,798,719,
115,531,932,472,565,517,034,543,338,879,459,168,052,549,727,370,209,800,407,
555,389,140,044,741,569,224,985,426,472,126,416,591,899,018,931,228,548,388,
382,609,147,894,558,430,220,190,960,694,891,409,307,443,636,862,102,467,765,
496,983,893,727,164,707,150,178,088,923,349,566,320,347,004,285,086,727,142,
372,733,256,596,598,770,237,394,194,108,059,583,890,325,399,699,073,498,646,
609,300,272,796,716,830,455,006,041,114,919,718,339,197,283,452,631,681,141,
389,094,295,244,635,016,061,944,926,283,486,079,416,997,933,799,956,390,614,
884,885,560,303,721,447,742,120,202,248,915,864,931,925,708,570,700,998,637,
124,142,144,484,290,886,205,411,525,418,349,331,856,771,891,142,747,876,649,
468,360,885,074,264,089,844,699,523,477,378,983,910,257,002,114,345,447,698,
495,301,051,939,372,989,728,800,228,928,039,013,328,722,712,844,189,969,037,
507,984,259,144,817,555,277,089,359,755,666,891,545,532,410,066,381,544,031,
346,777,840,786,343,865,000,134,295,376,859,135,989,269,795,542,237,130,484,
179,326,455,237,629,305,235,391,774,204,645,923,011,183,423,687,792,819,664,
713,359,014,193,321,027,517,647,421,571,128,407,978,996,679,024,261,505,863,
785,568,499,469,542,454,710,765,398,189,042,431,816,330,322,375,972,823,290,
069,207,878,181,137,953,067,674,776,796,569,677,534,167,102,989,483,940,688,
511,688,831,522,049,253,116,242,011,194,466,952,275,316,700,209,099,767,768,
991,591,528,628,537,905,095,930,710,865,300,449,852,122,818,395,686,160,624,
954,978,682,983,146,202,688,174,139,246,061,127,444,216,516,609,519,671,582,
333,444,778,162,579,320,676,113,641,093,434,898,903,679,344,368,689,058,344,
837,692,853,420,635,886,626,860,173,158,499,701,587,076,767,924,944,603,445,
010,016,951,239,877,678,014,578,260,071,354,766,146,189,109,522,081,355,452,
843,079,914,187,018,842,345,974,408,261,531,311,646,673,929,776,611,702,911,
881,834,588,376,024,819,967,009,391,517,973,467,488,885,893,510,702,067,907,
324,153,398,469,598,773,108,139,709,210,873,201,423,729,108,890,121,511,815,
183,995,451,272,348,059,323,071,507,825,413,043,091,012,877,562,349,524,537,
561,501,945,912,250,254,376,260,571,471,387,550,806,823,994,265,995,538,643,
693,907,805,687,180,069,059,050,645,289,181,124,045,778,417,850,483,004,811,
849,296,381,581,034,159,320,902,158,122,875,903,354,851,145,336,203,352,441,
840,715,857,422,075,905,412,377,373,219,667,451,164,069,377,089,796,536,457,
976,964,992,320,618,774,139,538,814,856,025,398,271,237,453,349,289,806,270,
606,038,258,460,723,283,936,460,222,086,132,994,732,018,473,260,980,972,868,
320,082,965,931,704,347,797,928,708,471,840,951,706,828,519,174,282,712,095,
426,713,061,139,312,621,726,758,762,056,237,944,177,674,226,743,545,841,233,
556,511,924,564,158,055,444,023,652,685,744,343,912,096,298,300,375,605,485,
743,617,743,182,738,222,997,113,818,920,441,878,703,477,835,626,378,910,216,
415,137,075,809,083,351,063,052,709,869,290,157,887,517,900,291,215,037,739,
496,666,111,596,727,375,974,784,113,994,265,309,982,025,713,890,074,315,134,
699,547,202,100,843,833,103,295,453,874,626,635,741,173,554,551,321,359,372,
095,108,239,807,454,044,219,820,020,887,742,459,820,169,691,812,171,959,443,
337,574,446,707,152,787,941,982,131,540,922,410,692,470,860,594,831,462,925,
508,593,745,536,626,681,645,073,079,913,756,319,996,674,352,520,722,275,111,
356,735,594,462,549,308,729,304,397,356,537,556,641,233,650,641,926,347,921,
208,381,705,599,651,815,440,629,235,404,011,169,681,126,665,954,790,639,845,
094,451,287,935,959,917,818,074,052,103,876,403,100,706,633,632,248,718,250,
059,580,982,328,489,726,681,090,443,059,242,023,527,295,906,180,077,145,055,
671,588,287,782,215,560,008,975,391,010,815,065,437,662,401,824,566,953,339,
277,235,272,657,853,338,908,476,367,714,352,333,329,715,146,297,881,858,503,
062,367,665,471,843,085,012,592,914,476,685,276,976,136,493,751,644,826,659,
912,957,114,502,829,526,940,802,198,553,700,089,650,756,898,012,650,263,646,
319,284,720,155,034,000,710,180,796,718,608,090,061,860,426,746,114,353,185,
334,394,888,926,633,588,662,557,717,075,974,831,929,506,754,281,347,619,834,
444,664,364,321,720,268,758,578,438,342,926,521,964,866,641,600,242,194,195,
103,037,573,373,885,276,285,527,108,015,927,191,850,718,687,828,637,631,784,
961,854,418,897,962,923,492,346,452,074,315,527,106,915,848,849,234,277,888,
271,881,005,566,312,033,634,108,177,720,000,281,293,336,421,620,837,175,483,
766,055,893,945,689,843,424,634,092,950,245,665,822,224,402,032,502,759,028,
156,514,636,959,743,032,165,850,481,275,051,543,748,940,981,553,611,129,904,
050,946,905,939,532,176,428,802,200,163,456,506,572,315,685,574,827,308,186,
214,350,800,740,551,355,941,433,460,854,853,030,759,036,237,643,519,231,283,
130,600,362,286,871,590,615,629,297,221,569,388,458,814,260,646,087,371,505,
235,624,248,834,274,649,603,622,271,758,680,197,088,850,062,917,552,224,832,
808,310,934,913,674,274,531,761,159,257,552,460,896,128,361,443,659,881,161,
867,843,319,595,462,705,209,993,793,086,120,337,495,422,954,591,318,749,234,
857,529,041,138,433,680,785,850,237,470,662,243,538,502,575,998,378,920,227,
324,585,619,161,687,654,765,524,364,897,013,021,792,169,957,266,857,849,621,
874,922,322,084,990,332,790,038,893,625,808,958,330,896,907,509,124,534,870,
723,510,954,701,632,079,291,118,629,024,536,029,496,304,860,423,469,480,635,
565,133,850,040,219,203,166,949,978,425,032,100,290,429,264,361,996,815,938,
998,773,370,581,505,162,899,688,121,243,493,981,689,207,144,429,803,739,606,
187,930,661,128,564,513,256,496,164,163,374,707,521,909,067,587,375,629,672,
855,736,539,237,384,442,417,388,965,635,297,861,249,711,078,410,711,743,543,
687,102,554,422,089,970,571,094,613,619,220,752,691,170,766,268,749,035,081,
296,720,109,069,989,664,383,410,783,236,226,399,983,597,500,413,573,497,552,
855,730,608,383,208,575,172,205,604,719,179,869,077,536,535,091,505,292,442,
034,715,165,833,727,586,928,978,165,401,371,723,640,411,617,030,844,290,321,
137,297,307,412,164,033,726,235,874,849,287,550,082,141,674,012,083,704,233,
994,507,669,653,691,946,881,117,108,255,691,626,530,095,358,889,227,436,606,
399,876,649,728,381,444,239,000,216,169,818,127,703,870,089,700,374,775,033,
232,540,227,753,951,173,787,026,821,053,189,184,276,586,514,555,217,970,964,
725,012,060,086,911,189,358,407,224,466,799,633,559,544,669,354,528,598,114,
013,586,202,037,889,105,070,441,618,077,104,208,904,083,829,692,535,360,532,
598,112,425,046,819,542,551,320,598,488,712,209,617,617,212,895,072,084,416,
551,388,615,593,042,700,219,070,383,539,825,536,822,605,069,402,150,887,625,
870,616,110,080,704,156,127,376,973,632,981,039,627,240,551,569,089,290,479,
015,364,792,222,539,991,686,661,635,800,676,070,223,835,794,728,011,268,880,
644,912,833,196,678,890,506,577,256,892,544,502,917,322,595,194,154,843,356,
116,450,868,588,819,781,743,286,115,394,748,148,150,728,652,779,072,199,604,
217,295,075,791,374,558,071,323,499,939,030,692,670,017,962,531,523,760,924,
646,549,664,699,874,868,224,975,635,710,220,982,808,980,553,050,638,445,592,
831,512,270,877,863,566,584,794,932,864,393,852,634,909,500,442,096,268,749,
766,834,431,884,341,035,612,941,543,793,535,531,247,968,399,873,655,130,513,
100,861,132,777,397,876,521,168,762,846,230,667,873,907,485,461,091,837,036,
129,003,552,402,898,169,804,383,755,035,097,504,906,864,628,733,635,708,069,
124,960,901,289,916,950,054,565,168,972,812,884,064,178,378,257,161,799,334,
778,957,525,995,774,446,513,736,738,860,561,957,927,002,535,940,947,269,743,
289,230,276,284,454,623,780,961,354,477,748,790,969,684,116,055,650,163,515,
501,873,636,257,185,905,072,915,373,500,372,291,463,868,382,681,965,862,938,
520,759,223,172,859,689,224,355,614,177,574,864,689,975,478,988,572,133,379,
944,289,787,631,231,885,029,671,901,645,069,283,358,869,253,057,771,988,793,
666,489,577,992,060,534,040,696,442,212,170,129,491,797,814,442,242,937,397,
268,745,576,650,013,697,789,182,491,030,063,089,863,914,712,009,925,573,867,
701,857,111,816,353,352,625,463,049,218,552,041,341,094,318,571,391,127,186,
068,769,726,207,836,795,025,052,359,491,060,560,574,480,080,987,699,655,769,
063,730,986,217,848,958,670,702,093,032,424,834,991,610,846,524,941,442,040,
444,119,854,558,489,630,431,614,907,425,865,502,818,322,389,066,814,997,486,
679,475,336,618,809,678,582,727,988,348,030,449,834,447,724,022,046,439,245,
962,426,710,408,349,015,776,180,202,803,527,767,219,530,139,161,889,845,944,
610,711,298,845,743,701,901,520,016,250,730,590,252,832,403,494,986,344,441,
538,355,468,155,972,093,528,254,971,494,042,973,869,639,352,686,059,576,952,
459,710,695,251,951,377,563,242,006,852,767,432,144,552,805,515,185,344,236,
695,930,038,090,899,011,077,155,027,256,339,813,483,113,097,340,853,519,499,
290,197,620,673,459,217,416,894,204,976,037,803,702,547,252,973,644,391,092,
520,406,634,019,001,963,486,524,061,303,655,471,317,456,023,159,414,106,082,
224,053,711,678,318,998,667,213,005,399,576,271,336,655,727,481,790,603,913,
344,619,137,120,619,085,049,712,426,821,404,622,206,393,691,689,833,484,952,
209,022,432,837,512,840,491,819,605,501,423,142,448,492,098,274,110,349,938,
035,975,929,220,147,320,169,813,271,340,689,250,350,697,836,701,930,890,090,
250,987,086,995,383,355,041,891,782,649,709,362,886,016,255,393,950,073,973,
348,192,901,327,640,726,797,897,822,692,629,615,230,405,547,816,869,932,860,
314,941,964,638,779,945,731,795,449,695,132,937,203,894,866,739,959,200,640,
713,606,138,084,333,206,399,150,140,052,093,228,643,806,666,293,023,134,657,
896,807,756,815,652,612,630,325,808,632,611,160,607,579,171,116,494,433,069,
098,107,420,773,466,664,113,020,766,565,822,133,460,365,834,808,142,481,783,
998,342,169,482,007,429,823,568,124,071,166,328,077,371,248,242,667,066,087,
266,781,533,339,185,658,062,278,558,292,915,080,997,998,923,007,831,720,143,
023,381,288,460,232,747,916,198,675,111,151,460,135,515,308,213,341,843,198,
808,376,036,208,211,254,312,574,059,079,393,050,145,912,268,447,121,332,249,
604,246,549,186,357,651,689,140,361,590,044,754,037,568,184,084,147,176,022,
849,884,084,854,088,360,209,563,137,623,869,532,942,821,841,015,784,283,346,
906,344,187,282,479,598,728,208,238,826,303,807,605,635,655,250,345,991,934,
004,094,838,829,302,385,931,689,567,331,357,499,448,076,802,423,718,103,883,
515,697,871,881,690,696,575,260,777,854,099,667,236,756,249,275,507,487,000,
687,449,112,542,893,463,658,161,494,401,281,728,837,227,636,806,146,031,618,
855,339,504,505,417,054,368,081,296,314,954,598,643,947,299,823,352,646,489,
353,920,270,849,682,312,529,494,268,071,333,835,422,415,431,567,238,234,997,
069,370,503,239,959,061,194,401,459,643,988,966,268,942,269,603,222,598,324,
474,197,001,365,926,557,641,656,233,962,919,846,516,675,575,178,130,642,125,
939,099,765,434,535,840,128,543,042,343,128,680,726,509,060,327,414,380,088,
761,829,008,363,952,074,063,989,696,216,365,110,563,297,792,143,012,486,488,
332,716,905,355,941,610,071,696,426,206,554,239,394,560,806,593,271,895,608,
869,819,871,583,814,829,877,509,803,289,858,386,578,514,278,991,231,063,623,
887,904,272,382,815,153,248,418,228,247,006,189,977,628,287,113,152,850,010,
113,895,172,838,630,657,551,665,290,878,271,188,714,775,383,740,254,650,043,
443,294,321,677,790,565,972,133,536,556,903,038,025,386,097,200,628,957,759,
202,001,863,036,005,888,107,456,548,738,527,021,779,817,614,912,612,980,184,
983,586,164,622,323,376,927,825,432,018,620,757,796,326,405,243,726,664,064,
638,966,464,947,176,286,207,969,423,108,541,359,973,098,389,680,136,459,316,
601,499,340,532,472,111,621,735,018,008,764,458,070,968,389,694,657,988,512,
009,520,313,548,275,253,646,504,259,372,934,418,365,516,920,625,942,339,295,
477,335,730,965,380,434,605,010,178,216,283,139,482,107,034,366,755,088,345,
381,956,957,522,197,244,865,013,531,129,997,401,156,951,653,601,917,318,112,
611,370,232,269,785,470,546,973,588,283,557,160,185,094,363,811,441,736,062,
703,293,187,603,257,388,694,345,593,230,963,298,804,203,857,228,120,771,697,
100,272,556,827,841,257,883,029,586,382,279,120,994,915,835,795,356,840,517,
832,198,088,908,300,398,664,268,196,080,409,757,758,898,018,314,867,122,566,
231,504,275,488,040,273,465,088,428,563,343,520,072,167,805,734,106,771,095,
353,554,148,971,377,635,032,811,341,500,951,286,195,180,139,042,164,698,565,
094,722,965,332,049,181,775,005,048,420,073,378,819,939,744,844,001,442,947,
487,021,147,315,025,296,083,033,017,285,334,861,842,762,348,279,595,399,076,
153,458,110,066,144,834,773,596,458,421,184,151,873,387,824,763,046,441,910,
130,694,002,090,767,217,438,336,905,549,619,521,659,960,898,963,839,152,308,
981,706,231,290,830,883,204,773,387,158,792,566,907,609,625,120,220,727,829,
273,965,152,244,283,409,389,631,233,913,271,052,963,840,916,509,266,699,921,
732,501,034,238,445,705,481,600,984,947,886,657,907,789,309,111,871,413,531,
886,898,802,365,946,330,483,089,658,792,355,989,250,012,901,254,300,052,834,
180,059,894,402,531,710,786,212,605,411,296,115,595,508,208,834,732,434,286,
283,202,715,117,875,027,769,060,050,428,792,317,826,864,200,478,277,774,962,
124,759,560,278,718,378,222,586,886,013,147,308,542,996,829,689,692,229,595,
493,124,519,742,311,982,511,294,469,091,915,295,495,533,137,370,449,673,050,
453,505,294,362,657,924,819,043,680,316,893,620,221,185,870,823,354,133,983,
126,494,941,214,931,608,613,877,835,615,408,738,570,093,183,043,813,540,891,
309,381,711,052,824,858,955,885,742,235,846,414,146,591,507,052,106,571,700,
957,200,710,157,776,855,809,023,086,408,947,514,697,204,728,487,225,728,242,
415,623,484,952,101,775,429,004,040,861,962,565,277,973,806,405,678,081,673,
939,165,925,856,146,710,640,959,876,020,582,381,539,493,223,054,592,004,442,
278,841,795,124,668,649,074,520,063,441,575,217,497,093,765,946,917,832,127,
206,828,954,890,406,720,281,290,669,560,656,246,530,787,821,002,018,256,012,
653,981,911,101,688,012,593,077,899,273,118,311,208,787,579,207,295,173,533,
300,114,135,301,805,378,066,599,687,642,662,521,749,197,568,042,230,771,058,
222,848,255,737,500,070,607,553,473,166,766,376,953,557,232,692,733,626,023,
385,542,802,446,208,812,503,210,526,808,860,058,040,350,244,983,608,805,797,
114,999,354,128,808,002,042,298,209,033,349,002,314,231,273,455,171,410,455,
500,965,215,040,833,429,383,838,473,620,593,747,397,038,112,692,728,656,089,
210,060,969,350,220,174,379,077,438,875,891,687,430,527,439,518,241,547,809,
084,949,413,328,679,613,912,578,048,303,688,015,193,145,893,531,544,940,533,
264,535,285,442,710,890,015,717,763,623,382,688,367,028,273,486,747,181,042,
498,532,293,045,858,354,855,625,471,147,672,250,773,800,363,040,333,436,527,
181,505,073,959,657,663,085,842,560,261,059,652,164,531,529,207,263,925,344,
590,855,163,803,970,258,502,656,700,682,334,168,336,114,575,130,013,753,610,
292,452,106,895,818,357,618,401,236,326,151,146,768,736,806,078,721,482,303,
426,426,279,957,198,145,147,111,782,067,304,335,227,344,661,065,707,341,083,
738,587,335,796,521,818,014,229,969,633,943,214,328,690,807,511,837,589,349,
169,463,235,919,157,914,819,152,371,078,874,853,461,475,124,869,805,369,662,
305,576,896,465,212,678,100,556,874,058,431,339,006,772,499,416,690,998,743,
210,671,834,003,966,043,709,050,915,758,909,967,268,562,610,851,425,358,648,
354,064,481,878,072,187,785,912,013,570,455,282,356,552,685,102,725,053,532,
911,005,519,437,081,363,707,011,960,366,174,287,615,847,852,737,195,254,735,
496,906,651,946,563,972,099,099,550,105,523,127,303,625,886,050,830,720,798,
255,366,917,154,663,053,391,589,014,472,713,754,639,304,665,550,083,657,187,
690,525,185,917,399,767,822,712,224,459,621,694,979,087,149,278,076,963,744,
783,871,114,607,922,461,992,558,906,230,395,759,337,314,774,665,320,181,356,
884,023,519,235,069,430,699,608,187,104,990,576,349,744,027,515,647,772,856,
092,107,754,646,462,521,922,098,873,909,333,550,580,806,437,436,637,505,803,
069,769,448,218,909,434,770,872,990,194,823,279,065,239,154,522,972,574,218,
752,844,190,484,457,200,950,025,744,037,894,762,766,361,591,963,222,198,870,
581,482,480,298,822,822,793,054,960,042,715,112,998,632,200,171,294,820,433,
359,830,557,803,761,724,871,339,908,634,187,646,919,985,422,868,125,346,014,
752,620,290,352,714,128,591,017,763,654,360,034,147,648,333,277,733,431,319,
862,484,429,018,378,680,636,874,557,103,581,947,308,431,817,706,257,827,468,
062,454,017,499,547,467,030,960,702,329,650,284,108,062,579,866,553,469,111,
660,534,737,294,835,831,533,051,692,386,643,109,501,193,696,247,027,274,471,
845,732,639,530,978,357,571,627,370,282,817,525,824,694,439,693,413,610,408,
156,540,461,368,750,032,230,793,831,796,839,174,027,472,719,808,424,412,578,
896,938,468,488,461,881,981,504,207,977,479,038,680,293,294,758,304,108,272,
888,911,182,404,806,474,216,193,714,473,601,821,924,751,638,108,264,599,890,
441,048,602,301,825,484,298,587,280,199,935,432,820,489,445,717,103,278,533,
425,483,347,529,776,196,375,449,373,284,761,499,216,386,619,989,162,389,591,
096,235,295,460,000,314,777,914,898,935,291,994,722,123,449,196,044,368,390,
288,547,000,607,062,776,993,925,408,040,523,910,976,354,962,818,044,513,302,
811,086,776,663,125,728,949,183,057,192,557,805,674,668,925,043,317,422,044,
923,461,233,036,822,692,281,866,096,566,789,926,352,862,724,311,753,206,423,
619,776,521,076,528,944,460,167,430,273,191,758,724,044,724,488,193,398,275,
052,337,655,728,653,499,360,267,118,800,139,718,685,131,685,540,067,642,886,
779,877,221,873,864,253,179,855,469,027,988,101,625,378,883,601,743,783,026,
847,590,762,060,773,109,562,269,721,487,162,857,949,879,209,477,143,013,947,
715,036,778,596,460,819,875,406,779,555,862,556,289,401,111,681,825,135,019,
206,055,884,211,237,566,163,157,734,549,212,587,983,024,886,344,442,099,343,
076,275,263,862,492,570,891,151,770,929,059,433,759,720,218,381,013,654,688,
354,103,949,908,851,119,628,284,343,383,265,914,110,726,310,420,551,411,090,
008,292,715,343,981,466,322,138,713,245,229,392,198,201,427,561,587,021,786,
405,006,748,075,332,004,056,087,126,017,459,857,344,089,881,861,199,539,605,
029,565,881,729,187,458,282,857,650,944,979,748,393,170,802,262,464,442,701,
989,062,115,391,485,671,907,984,660,951,248,206,886,836,553,354,252,187,055,
030,088,727,279,092,188,943,664,874,192,845,792,170,808,890,687,324,056,913,
929,823,588,799,224,626,243,798,478,766,941,890,170,889,351,239,162,601,837,
901,961,409,353,459,067,322,676,123,730,590,683,115,530,453,434,800,035,951,
922,521,427,907,061,717,903,990,746,503,159,353,334,887,175,278,754,039,569,
373,106,622,602,838,051,132,775,514,235,218,634,837,976,636,628,708,116,505,
247,997,556,226,776,176,964,975,769,030,880,550,818,762,259,221,913,121,835,
133,859,873,657,263,064,132,316,404,497,885,725,501,550,457,837,682,847,213,
643,462,737,491,643,758,108,601,483,607,564,491,734,454,774,576,416,859,127,
252,957,428,440,537,022,459,022,777,857,094,384,188,370,360,842,202,121,981,
811,438,077,755,400,493,307,671,657,510,844,741,345,709,554,964,878,009,068,
867,508,480,923,203,228,263,507,336,563,618,030,877,397,091,409,116,757,181,
423,512,792,006,698,753,463,519,920,200,392,934,108,188,580,853,205,613,059,
586,912,428,456,186,207,519,066,760,469,164,176,128,889,069,800,123,274,401,
665,734,576,208,530,296,778,214,255,952,003,201,749,362,349,877,336,903,963,
708,052,933,227,948,668,320,886,491,468,223,635,249,945,041,686,848,798,786,
168,611,892,964,365,324,079,946,402,255,792,740,247,197,185,526,041,026,513,
685,420,574,081,219,662,993,599,574,665,428,870,189,555,461,185,957,667,619,
749,236,464,165,866,082,891,333,974,742,238,358,322,893,697,606,213,193,916,
476,412,928,150,335,754,709,787,558,392,770,180,784,338,855,072,378,516,845,
045,382,314,448,004,455,603,812,351,388,516,937,678,115,954,691,703,472,728,
600,995,769,906,012,306,706,933,150,402,954,499,238,773,231,402,227,357,224,
705,052,722,739,386,067,926,078,535,261,477,588,017,491,061,811,216,493,366,
776,265,040,313,341,847,386,215,588,924,119,428,778,184,250,118,712,635,191,
811,297,541,700,631,123,495,014,664,503,767,209,635,189,058,696,128,606,272,
565,545,038,923,472,571,343,578,067,795,968,360,912,081,077,916,065,692,034,
346,447,434,457,178,183,220,809,317,457,626,335,287,792,186,829,190,159,820,
049,148,597,938,700,354,224,682,934,323,702,495,611,566,919,490,543,647,503,
316,730,298,374,491,385,383,728,741,774,931,917,110,133,440,535,252,180,028,
788,447,669,159,038,621,194,055,608,113,829,030,490,527,402,585,765,726,267,
334,477,091,304,895,153,443,881,115,010,372,097,899,172,664,734,512,296,756,
684,104,551,737,838,006,889,234,334,092,293,378,747,899,143,370,421,859,276,
667,652,494,276,009,472,381,690,136,321,316,146,666,208,343,335,491,108,646,
441,185,980,323,004,216,754,468,721,240,523,168,235,297,216,620,479,026,864,
581,447,251,037,831,854,464,932,716,595,755,662,300,392,809,340,569,029,745,
793,095,705,159,588,460,056,340,786,642,140,819,797,007,307,327,447,669,788,
460,264,327,367,091,136,014,404,522,799,390,160,067,101,337,945,702,681,841,
099,176,391,544,522,855,641,755,949,893,121,289,757,770,023,749,207,399,430,
087,245,034,667,520,446,383,640,872,358,703,715,254,498,817,331,633,416,453,
183,812,967,536,847,381,406,769,166,807,479,226,520,257,079,922,184,351,458,
780,427,267,402,070,270,251,818,810,181,630,496,540,996,075,963,156,504,856,
248,013,846,184,294,892,579,769,231,452,220,921,183,801,730,241,178,015,626,
704,939,012,165,888,754,974,638,022,923,241,083,249,400,010,043,498,960,717,
471,663,687,639,826,238,957,148,779,882,264,758,097,572,800,200,494,498,083,
214,303,513,111,382,422,159,397,015,131,957,358,803,724,179,602,793,133,652,
398,315,338,595,314,679,297,008,497,648,567,031,237,907,254,478,024,094,917,
845,937,889,018,699,899,801,560,659,834,008,099,296,016,865,576,218,483,342,
592,020,710,997,864,789,583,275,203,494,380,835,413,249,601,733,147,552,730,
576,931,915,977,179,197,192,388,880,947,720,235,071,604,207,151,862,801,998,
003,612,292,587,321,695,430,744,593,320,061,698,410,994,179,261,483,989,845,
325,904,577,602,376,961,723,154,466,649,105,772,306,214,809,653,046,198,602,
259,742,386,209,975,537,551,333,411,566,696,257,380,770,717,876,290,679,537,
557,939,488,817,611,107,990,450,594,359,393,212,037,958,997,037,982,428,219,
663,799,531,554,419,890,602,128,118,240,149,876,856,678,823,575,136,571,181,
147,144,304,920,301,513,357,927,091,972,293,735,598,481,789,829,329,667,123,
482,678,554,712,671,567,815,618,133,826,873,062,220,884,497,199,361,914,456,
163,462,850,361,624,465,667,415,690,326,399,143,579,924,416,456,549,702,807,
362,469,851,298,106,033,551,218,605,803,254,498,107,610,082,673,283,334,904,
223,967,083,706,537,934,914,369,278,330,938,903,988,989,576,786,302,309,923,
162,010,578,002,810,004,339,026,060,125,863,400,520,652,422,512,254,340,075,
748,136,110,400,355,544,755,550,813,245,233,226,934,388,295,392,784,735,827,
289,034,519,745,938,790,736,787,320,145,655,672,240,872,695,422,209,870,192,
838,861,948,249,775,190,995,336,540,897,946,018,085,290,131,049,243,096,782,
459,353,198,803,749,967,180,203,201,896,314,230,591,181,887,190,413,998,230,
672,214,046,801,443,059,436,878,165,303,549,661,738,851,168,340,846,148,992,
262,198,833,917,692,789,211,685,199,906,306,109,373,932,405,153,307,338,953,
887,721,422,978,832,575,624,110,033,325,030,812,485,905,023,388,314,267,978,
849,200,687,289,868,653,355,485,927,569,129,940,466,177,301,168,548,205,131,
346,554,156,480,261,022,549,960,071,188,786,826,789,675,941,209,717,982,492,
666,204,309,815,576,342,647,587,467,125,314,639,508,742,895,286,024,600,253,
763,187,084,290,687,274,365,776,076,969,150,676,488,826,502,043,513,616,667,
036,552,394,798,702,351,882,801,876,084,099,202,819,319,922,097,279,829,146,
680,732,887,152,344,678,059,881,176,492,195,845,586,315,344,539,184,737,483,
161,075,237,716,416,903,735,411,028,321,537,828,321,329,733,661,079,840,635,
298,625,500,552,269,959,893,844,770,733,198,610,857,531,537,817,412,757,621,
100,084,107,414,603,334,405,796,521,261,911,154,659,588,729,649,011,773,196,
790,155,129,300,392,239,420,467,667,174,130,330,849,304,059,691,160,496,930,
521,918,436,352,629,552,387,361,519,502,241,620,033,562,638,090,879,796,807,
125,595,607,533,143,276,402,081,564,173,998,194,245,632,342,087,304,460,054,
957,616,662,921,557,442,232,195,423,895,491,389,841,664,699,679,315,113,924,
607,472,040,291,939,505,361,588,117,777,221,185,427,989,053,965,394,682,788,
073,906,001,952,689,609,770,970,251,988,605,597,533,522,458,043,179,548,569,
293,114,155,550,734,131,124,275,080,871,912,435,544,875,632,160,168,450,339,
973,071,215,483,587,501,691,421,490,577,947,163,182,435,562,338,253,857,616,
601,931,192,205,327,564,707,203,519,101,210,422,652,427,674,296,188,726,897,
399,872,187,282,717,900,200,086,348,717,977,117,428,780,096,569,698,485,606,
332,291,868,569,842,961,153,283,174,605,203,331,689,312,692,947,294,623,113,
399,272,356,389,488,071,314,562,356,470,052,691,932,596,299,941,009,141,056,
475,600,769,574,167,932,584,137,804,655,499,976,683,972,705,076,483,745,811,
263,479,977,899,774,262,713,468,269,918,876,561,942,129,187,175,631,408,163,
231,248,321,667,271,220,411,445,192,218,382,251,517,490,876,076,969,881,333,
084,906,727,939,058,414,089,510,095,576,044,234,415,542,337,501,908,161,608,
792,804,972,165,421,153,115,365,637,888,144,786,536,542,993,310,191,310,011,
344,216,275,300,041,961,857,195,536,305,813,144,731,304,765,701,425,472,311,
797,398,510,407,905,828,609,472,325,663,559,595,419,739,562,729,440,796,048,
378,976,485,733,024,600,783,215,038,199,664,830,476,144,850,989,239,254,498,
437,202,322,316,311,602,105,907,716,829,854,984,190,990,392,153,106,992,608,
428,466,928,399,929,369,802,568,778,232,132,211,021,231,819,897,699,376,096,
472,941,246,480,914,310,676,580,686,004,646,684,106,882,217,416,320,866,646,
843,785,457,507,328,342,271,235,589,193,795,616,636,532,373,370,872,047,499,
412,764,949,423,602,886,124,101,844,493,667,278,282,769,767,789,277,701,774,
126,332,420,505,030,061,444,427,430,247,614,086,059,439,047,076,218,781,830,
836,485,594,720,773,235,846,345,517,087,921,122,156,088,177,165,371,583,040,
816,658,570,778,555,848,249,261,625,823,474,063,620,859,305,670,455,294,568,
191,971,063,691,151,383,428,605,791,448,713,310,859,829,845,249,253,022,365,
045,715,449,423,808,200,435,477,572,756,631,183,413,825,793,392,952,038,046,
387,177,295,651,586,581,458,609,753,197,595,821,715,531,639,591,695,542,171,
306,473,496,863,039,293,926,210,119,642,615,571,047,466,877,532,210,316,184,
911,530,430,381,840,619,407,154,801,662,100,241,287,028,249,616,986,905,450,
786,135,077,558,925,432,449,613,051,255,068,509,449,816,033,325,420,673,796,
869,767,027,303,539,690,196,566,779,954,108,838,963,256,458,722,597,622,050,
667,236,575,713,568,140,359,064,148,368,120,014,377,102,074,261,745,938,340,
839,093,070,643,180,984,394,490,283,869,731,677,092,456,898,935,670,325,481,
067,219,638,030,938,718,273,306,977,852,299,315,204,551,006,364,822,425,626,
687,141,759,670,591,868,562,130,368,142,020,404,913,507,732,562,518,364,228,
370,148,079,735,797,581,398,850,979,287,829,143,695,833,917,537,330,376,083,
796,601,067,358,784,578,738,015,905,972,477,064,817,869,141,107,739,223,902,
224,164,238,786,119,633,068,511,976,942,890,377,264,256,083,358,953,513,991,
934,791,757,568,871,497,150,544,742,085,928,456,355,727,977,105,122,930,318,
045,010,841,834,091,815,206,908,218,570,103,176,602,324,926,152,711,288,280,
508,648,499,121,990,099,630,980,473,745,256,905,585,667,582,130,518,216,327,
085,956,517,179,337,734,772,563,656,164,484,405,959,065,565,240,698,503,542,
779,287,118,076,746,188,937,757,855,664,922,227,802,963,420,505,643,955,326,
742,650,212,180,649,415,883,822,652,501,003,708,124,194,654,166,336,710,742,
214,054,898,007,050,584,688,456,722,527,622,025,854,119,982,269,154,614,485,
623,867,928,671,232,577,854,338,387,961,162,408,457,901,656,367,543,356,918,
562,132,487,355,270,165,095,851,798,560,780,084,758,870,402,256,106,799,200,
605,034,279,982,978,132,981,002,810,706,717,829,081,222,678,513,749,183,909,
467,834,306,026,944,275,843,965,923,181,512,778,573,474,727,799,755,185,018,
371,624,875,709,316,713,906,007,450,123,833,338,434,868,409,462,824,253,969,
264,573,015,259,522,644,960,162,129,619,893,318,139,438,812,548,987,266,583,
443,076,215,768,183,662,018,024,935,021,439,487,369,163,594,673,047,228,832,
702,108,052,924,244,914,684,474,596,552,976,195,840,496,767,117,224,271,839,
178,869,507,197,541,984,676,896,684,754,382,600,845,658,410,850,493,705,766,
941,136,676,744,449,713,070,311,470,803,738,738,741,608,325,841,258,432,518,
559,227,075,111,752,008,267,072,135,402,904,345,426,915,506,875,880,003,042,
302,182,716,958,713,085,350,935,026,187,884,903,639,753,746,100,643,202,461,
248,673,451,224,700,759,167,624,038,261,499,112,706,871,009,390,092,812,295,
792,559,871,188,194,949,131,721,269,223,173,534,447,896,255,154,674,183,918,
065,770,265,641,430,056,621,612,213,924,106,599,724,950,390,319,145,687,299,
318,842,180,797,806,841,857,007,812,030,603,468,540,047,497,596,053,450,266,
105,449,652,075,976,087,261,599,355,863,624,494,331,399,451,107,263,435,041,
103,013,735,319,621,905,964,764,426,758,472,302,112,821,729,075,730,627,501,
674,181,346,107,934,682,863,679,010,915,396,559,805,517,585,309,214,366,833,
549,128,340,902,769,992,533,625,837,969,003,086,867,934,649,433,470,192,074,
792,466,672,060,799,545,546,597,504,086,647,953,080,345,895,148,593,857,018,
740,524,496,754,916,584,861,896,856,661,533,047,943,528,600,796,487,452,261,
407,122,963,610,673,790,634,635,861,332,657,255,402,412,953,387,850,016,659,
303,180,228,030,264,937,164,607,080,681,443,574,120,661,137,260,846,071,268,
945,070,635,700,001,039,518,617,669,620,510,167,329,796,969,575,092,127,728,
327,747,743,374,557,399,231,935,989,835,654,518,373,523,752,846,628,166,672,
650,811,596,949,391,164,725,725,599,422,153,591,040,055,604,771,295,562,747,
607,696,531,016,975,687,019,200,944,951,199,679,236,922,855,162,123,979,274,
141,969,285,213,822,727,022,921,635,552,146,117,100,296,575,197,898,887,406,
576,747,573,730,389,047,989,401,440,818,146,460,865,686,002,898,613,594,811,
646,548,649,576,959,672,632,582,368,182,591,345,392,157,907,639,931,171,319,
356,803,297,499,629,908,417,622,659,048,707,726,291,203,533,303,600,086,334,
458,084,675,326,593,965,509,702,810,561,334,596,068,287,639,679,845,928,689,
329,499,610,509,789,191,468,717,065,852,033,848,848,751,175,619,594,509,185,
793,032,283,907,652,932,242,583,721,181,475,165,816,782,893,414,772,964,336,
392,779,052,055,893,066,084,258,757,777,652,530,161,281,920,769,950,217,011,
091,291,914,430,646,237,654,377,345,848,504,157,190,622,761,227,178,812,949,
253,614,489,769,366,117,797,508,533,078,782,650,481,267,747,513,019,559,592,
387,313,848,862,748,244,469,049,684,243,084,868,947,647,031,716,286,057,892,
542,354,938,568,108,525,901,731,208,445,508,448,921,704,669,127,031,172,921,
871,320,290,156,535,510,103,022,823,322,921,520,704,905,489,850,423,022,764,
427,140,136,138,192,328,593,208,361,265,570,933,047,522,347,622,211,708,563,
833,227,028,978,962,748,723,587,229,100,228,608,812,722,475,504,826,438,492,
158,034,237,566,323,360,417,790,796,506,028,425,824,430,196,275,098,627,808,
149,191,846,341,938,086,879,376,013,420,569,202,969,930,296,798,479,747,229,
957,922,937,212,263,538,711,216,783,434,519,554,963,042,398,965,861,962,420,
113,191,048,768,944,026,996,298,960,208,170,056,797,470,184,104,866,737,647,
196,176,504,173,836,352,850,941,455,850,606,747,319,290,026,689,574,121,945,
055,118,872,104,846,876,367,750,690,870,869,285,368,430,467,773,292,894,011,
531,167,268,220,865,305,621,850,515,299,398,204,038,984,671,634,187,246,944,
870,719,657,536,770,387,459,742,269,677,217,018,852,491,522,016,922,689,781,
972,088,553,139,498,206,862,555,783,435,313,057,359,095,038,853,981,609,826,
841,543,607,381,365,744,473,842,013,663,197,051,981,134,157,535,376,406,243,
224,098,742,433,726,267,380,782,540,643,538,445,314,976,448,002,354,905,439,
103,286,878,046,392,046,258,887,904,098,223,335,012,996,695,638,584,587,084,
997,880,856,412,352,310,016,624,349,471,009,998,360,791,861,486,729,774,371,
950,340,922,593,304,360,407,477,037,907,336,075,354,992,571,215,229,307,595,
278,205,584,951,810,132,139,648,821,282,972,264,587,808,116,781,567,954,942,
238,040,986,304,170,270,526,557,566,486,069,521,686,438,528,586,144,761,444,
256,418,917,126,871,081,264,203,896,687,623,124,987,394,395,507,579,212,588,
150,985,662,511,846,493,195,965,780,775,150,469,441,153,908,533,496,748,002,
358,057,117,204,010,817,388,218,963,057,751,033,927,897,339,820,300,972,847,
039,201,592,253,340,787,148,122,609,554,473,929,011,714,144,487,750,581,677,
672,067,648,607,074,034,629,836,886,727,388,410,810,373,464,083,639,879,275,
107,412,611,883,814,000,046,743,684,778,990,172,493,051,703,736,804,348,922,
984,157,860,927,715,676,932,559,122,708,378,824,537,272,378,584,545,183,729,
459,526,258,442,366,636,808,060,778,324,054,054,536,276,174,595,686,738,544,
854,147,271,781,981,502,828,675,339,868,574,198,799,247,228,268,413,749,715,
564,313,614,022,670,038,250,277,081,602,702,639,384,650,644,917,640,354,749,
154,984,048,318,405,904,525,367,357,817,474,361,501,817,768,576,203,258,676,
594,112,539,457,880,726,647,096,617,882,152,656,080,958,098,775,504,082,898,
070,365,746,359,458,039,780,638,788,254,520,700,072,077,070,184,785,587,213,
124,672,519,647,332,798,999,162,542,022,815,025,342,090,277,753,961,454,546,
038,683,652,447,750,915,015,358,990,703,250,477,426,994,244,071,938,603,693,
496,998,168,820,343,346,694,738,958,039,707,660,029,087,218,163,399,418,947,
336,207,614,913,596,857,741,983,252,987,452,542,632,074,126,537,130,424,448,
429,428,431,861,516,997,535,483,319,275,964,049,617,622,894,275,993,259,948,
763,599,157,585,965,951,277,436,857,772,645,594,784,957,806,354,275,947,971,
568,877,945,585,296,728,497,975,571,028,553,608,946,149,743,655,899,089,727,
020,013,847,698,287,036,673,966,149,492,722,678,464,208,928,053,566,718,500,
236,023,701,091,171,166,811,954,173,042,749,656,219,734,655,736,779,436,525,
983,576,534,514,761,302,767,767,623,250,150,088,939,125,336,840,091,042,015,
084,991,327,599,320,808,536,903,418,676,642,493,765,007,630,679,188,880,411,
199,053,990,292,671,353,150,315,904,924,142,574,472,585,980,561,971,963,462,
764,704,142,677,098,168,319,231,640,255,473,531,416,002,079,733,931,914,542,
191,009,995,858,211,249,097,870,808,197,568,621,437,966,689,210,301,685,466,
119,063,586,677,940,145,535,230,814,967,821,523,402,932,346,320,066,086,575,
371,303,529,274,336,520,660,129,545,815,537,708,755,583,594,004,891,236,410,
065,072,973,927,976,528,695,197,446,286,868,082,460,851,575,512,288,770,061,
771,331,180,914,575,539,115,353,770,740,870,765,531,452,138,763,365,817,872,
555,357,326,108,777,049,381,132,143,574,751,954,022,485,859,346,526,373,070,
468,966,390,806,198,823,040,586,512,521,205,635,011,749,522,140,926,397,090,
505,781,052,266,566,072,059,858,425,314,018,962,642,786,235,705,627,485,521,
866,433,848,534,478,697,410,207,657,959,591,063,112,822,690,350,403,060,026,
798,080,003,255,278,153,232,593,076,696,572,381,006,878,115,287,190,952,008,
438,961,375,876,159,121,735,509,591,065,365,365,083,662,889,154,932,410,975,
322,003,202,039,824,925,309,715,925,065,559,174,430,403,259,044,705,136,345,
178,527,109,695,717,382,542,294,559,109,791,020,391,619,379,333,769,637,803,
542,434,271,685,916,260,116,289,149,901,453,986,820,053,339,549,459,379,293,
062,654,699,081,196,441,727,548,796,782,162,597,666,870,968,910,454,261,714,
979,301,883,611,102,585,170,301,494,266,738,338,708,014,241,700,121,684,825,
031,976,857,699,791,182,527,484,521,664,499,295,866,087,562,673,372,689,412,
789,927,625,108,548,428,002,372,736,624,264,973,364,143,838,105,692,147,621,
439,560,147,091,780,208,334,085,991,596,661,375,095,693,704,553,250,995,745,
323,688,093,251,195,885,867,177,139,482,688,789,463,293,480,492,617,658,319,
966,337,324,472,217,399,715,328,406,049,868,406,851,273,164,992,080,448,307,
248,978,753,216,943,219,451,447,996,979,411,871,349,883,081,350,047,623,609,
316,969,716,224,432,735,428,669,613,750,350,089,995,064,342,811,628,149,204,
547,843,800,586,461,804,301,207,658,607,661,564,199,180,345,627,067,773,091,
852,351,961,343,420,226,652,974,214,919,505,767,276,159,043,362,580,280,427,
858,329,808,535,728,982,141,599,076,583,313,566,832,851,340,936,936,697,989,
493,852,210,792,213,222,737,201,921,311,216,152,380,183,549,159,681,337,605,
467,080,883,709,614,599,043,389,371,374,387,336,846,715,286,751,388,234,150,
356,920,865,087,966,958,976,473,369,708,017,777,994,706,035,329,286,989,196,
977,217,138,625,231,208,934,106,083,710,119,980,212,733,807,152,417,191,148,
672,715,262,412,014,440,842,528,030,265,479,864,124,514,443,361,482,175,806,
464,151,553,051,276,118,295,707,867,495,140,095,290,418,963,073,685,619,287,
001,810,978,747,361,809,377,658,284,557,891,200,772,860,771,078,040,545,032,
059,853,286,013,647,865,611,960,174,621,739,278,670,361,071,218,213,360,278,
520,240,683,410,562,630,110,975,544,446,586,762,409,068,089,419,430,876,952,
863,359,037,039,771,356,003,869,314,565,126,211,077,488,446,746,283,631,064,
771,881,665,493,753,682,157,505,372,837,798,988,014,674,973,137,518,420,415,
374,583,259,186,358,338,472,742,629,213,733,665,272,581,451,657,120,223,216,
151,244,031,923,849,838,464,600,406,806,574,541,047,736,010,830,299,658,047,
338,982,068,768,781,905,466,212,369,338,612,528,308,266,931,501,345,158,592,
003,904,408,828,842,448,164,097,459,032,826,283,418,278,005,355,915,366,688,
392,125,430,758,356,056,974,757,740,825,008,062,966,528,248,246,850,229,852,
913,852,146,396,810,573,779,094,695,033,558,842,693,990,507,205,035,350,091,
959,647,899,815,733,922,410,467,304,314,094,982,086,850,361,078,072,758,616,
164,079,344,589,961,003,447,729,656,645,526,085,825,322,191,675,978,282,226,
471,202,129,009,866,015,744,978,214,149,699,479,240,171,260,799,133,694,343,
157,518,203,617,142,139,184,527,147,129,139,143,537,415,943,152,432,337,140,
495,113,735,498,182,397,660,183,870,090,332,439,852,108,806,177,108,292,859,
737,669,354,706,354,787,376,760,013,125,284,593,296,455,682,245,943,506,710,
350,255,410,671,269,878,864,872,052,719,038,048,570,757,735,854,051,186,869,
909,692,134,114,304,812,868,786,663,557,353,611,813,066,926,973,624,197,997,
755,075,484,568,550,077,212,182,013,828,649,311,014,029,360,716,055,080,211,
150,002,878,706,928,798,130,760,002,415,066,214,969,581,400,423,939,148,898,
471,566,563,211,678,275,101,802,374,236,832,381,610,488,399,616,040,445,506,
566,513,260,186,135,840,373,432,476,797,826,776,283,368,662,463,465,241,925,
007,867,939,031,691,440,220,153,229,711,888,621,112,913,307,074,863,375,335,
404,860,642,699,169,306,894,086,857,042,022,763,001,338,702,781,106,621,284,
953,484,876,891,587,195,085,289,812,423,831,467,087,898,090,284,070,249,642,
533,076,911,841,253,903,512,020,697,420,243,127,479,804,042,807,385,865,848,
754,037,846,274,704,976,776,096,929,909,863,571,642,743,070,833,131,590,153,
473,860,165,231,170,209,305,175,887,085,020,656,299,459,215,845,300,324,889,
325,329,037,175,715,499,562,831,395,047,987,940,294,069,632,116,269,000,870,
863,370,885,989,669,420,327,374,425,322,565,339,073,324,777,595,399,048,447,
177,170,135,730,364,787,480,125,895,574,531,387,570,937,625,889,539,815,559,
747,632,171,550,343,902,417,729,946,371,363,196,715,223,768,060,777,349,673,
512,384,215,029,587,114,108,098,329,076,027,251,368,783,684,223,761,210,361,
869,692,047,343,421,349,348,169,609,431,260,090,998,378,671,073,530,120,114,
173,350,335,078,429,130,339,575,453,409,983,414,158,229,696,574,675,923,182,
096,339,142,915,336,346,346,757,446,736,335,125,999,996,923,225,177,330,028,
900,700,181,693,390,419,294,202,743,159,556,248,088,389,799,173,297,264,881,
930,820,823,481,955,790,193,715,283,121,343,824,869,871,762,725,558,888,476,
587,158,317,793,523,811,965,204,321,429,119,772,798,722,687,272,634,934,614,
151,643,292,663,752,509,837,633,203,416,277,323,290,903,396,720,173,297,883,
533,940,611,795,923,816,507,156,580,111,091,368,395,655,000,065,736,800,787,
251,212,959,596,574,542,050,263,185,721,023,635,599,013,265,083,878,608,298,
503,527,574,720,588,012,762,637,345,372,877,929,810,591,619,188,774,995,071,
114,282,411,590,455,585,500,268,788,211,252,687,943,679,473,103,385,369,604,
141,624,968,644,554,893,844,879,799,592,708,833,660,807,452,703,140,063,683,
543,177,042,316,050,538,127,201,975,486,129,708,476,899,391,725,786,216,949,
779,452,696,731,766,170,554,071,104,451,448,622,666,357,809,593,270,584,854,
771,760,497,992,789,754,166,462,339,726,794,648,631,708,061,205,876,913,582,
383,939,743,454,692,287,553,429,787,864,722,488,849,496,158,054,511,557,688,
923,588,323,357,778,485,688,903,060,227,678,104,479,102,761,191,675,988,411,
891,710,205,359,243,441,614,462,210,425,419,158,611,913,805,532,382,115,211,
020,295,412,575,805,044,548,976,576,633,407,591,856,835,392,782,927,549,346,
375,263,977,638,790,285,313,557,474,281,267,999,622,821,061,026,702,181,855,
098,217,135,329,433,971,414,625,146,884,057,624,970,535,118,586,171,348,456,
195,960,665,183,854,077,473,535,129,307,402,957,711,196,505,090,227,053,088,
929,881,904,009,493,292,816,901,775,288,416,822,359,023,944,964,413,704,688,
501,811,606,806,806,415,262,026,930,368,993,549,221,077,077,366,442,559,645,
704,843,761,803,698,867,708,830,058,546,074,744,403,206,086,478,798,784,247,
726,946,769,513,862,949,338,945,848,113,691,441,779,286,011,643,469,480,159,
917,102,757,109,146,550,286,410,509,011,215,419,145,872,822,896,812,035,328,
730,362,821,667,334,054,870,911,853,192,989,648,264,668,112,820,392,753,612,
296,249,292,318,906,489,350,757,009,210,655,421,494,280,021,841,612,544,721,
797,552,411,810,659,819,331,304,663,322,655,807,602,907,259,177,851,042,186,
110,938,755,034,569,716,895,075,254,559,654,406,457,189,185,650,494,856,732,
160,287,318,008,594,731,429,002,546,906,864,752,661,661,057,065,226,786,144,
522,287,884,096,401,992,349,284,015,430,404,231,057,881,989,195,073,946,694,
170,002,004,820,805,355,265,037,018,111,059,869,926,647,017,374,152,252,338,
591,772,458,411,700,251,203,255,194,719,121,765,074,938,638,774,566,387,627,
262,008,955,897,239,951,038,523,335,162,337,231,983,242,799,702,072,104,966,
464,693,169,043,171,664,602,860,750,483,232,256,786,926,585,211,566,314,503,
095,967,184,782,609,114,876,645,735,959,024,392,942,739,631,177,868,501,540,
751,409,176,733,525,570,689,915,592,134,804,788,094,692,688,079,647,376,312,
676,553,257,298,298,124,617,544,373,955,404,027,911,198,432,482,785,600,030,
990,177,243,489,769,214,256,477,041,424,007,099,868,097,335,591,680,948,924,
778,848,117,952,220,695,236,089,351,575,512,769,110,322,762,110,878,295,752,
633,550,748,654,439,449,714,960,696,184,896,010,223,711,552,794,857,386,355,
260,454,314,787,779,742,139,208,078,300,411,696,085,619,166,676,756,140,470,
306,395,184,212,212,401,052,031,986,673,589,349,742,388,808,715,787,014,965,
876,961,356,352,416,511,209,584,120,200,886,229,329,071,970,702,869,278,836,
809,312,191,195,217,526,734,715,705,203,498,568,918,775,207,457,196,846,527,
540,692,631,781,565,630,283,789,739,194,803,178,409,473,639,705,868,989,839,
956,427,521,561,920,624,167,597,714,607,221,053,764,182,969,157,099,902,641,
377,748,597,792,781,421,547,915,352,465,882,319,376,673,520,644,086,572,474,
901,863,342,000,525,114,783,697,640,819,727,226,427,660,194,011,668,437,535,
000,436,114,256,716,454,418,133,470,767,463,524,328,838,073,509,724,217,134,
820,148,197,150,739,516,333,663,736,858,311,530,716,581,918,450,419,233,652,
604,761,389,798,844,316,507,720,896,870,099,582,433,165,454,190,371,178,247,
813,329,535,718,292,818,365,935,487,623,008,433,065,416,291,787,346,851,794,
008,706,968,160,109,118,656,514,806,760,907,341,931,912,535,669,407,932,152,
920,961,585,391,718,567,981,697,122,681,467,170,896,646,422,305,832,944,455,
236,499,374,783,804,429,272,405,524,250,839,945,469,448,315,174,516,654,758,
100,945,450,715,918,042,723,739,923,534,249,281,774,937,874,063,344,636,016,
737,706,209,629,763,647,842,414,161,508,207,383,387,846,161,563,427,657,439,
391,333,495,685,861,792,686,043,336,001,963,327,553,094,848,935,818,973,273,
789,514,341,954,904,757,323,439,707,085,532,947,240,669,482,386,773,627,725,
126,797,237,849,775,868,715,631,949,479,120,861,091,830,859,241,278,028,952,
637,051,094,532,184,673,054,228,010,489,860,167,920,153,479,394,696,141,206,
393,838,728,385,609,599,994,448,845,470,798,317,158,059,042,866,645,209,496,
263,044,062,878,748,444,536,226,103,679,390,249,527,928,220,164,613,397,069,
120,301,649,923,531,344,755,466,918,463,664,898,121,962,907,010,056,517,770,
049,648,838,408,128,893,368,864,141,927,126,366,232,956,314,823,502,235,857,
072,633,070,470,274,474,663,135,211,276,519,484,882,855,652,074,529,553,439,
345,997,914,718,915,495,464,994,822,351,086,004,015,081,765,918,171,001,696,
221,951,149,047,304,074,164,528,307,422,703,155,094,933,548,747,732,172,996,
269,990,810,671,970,896,698,114,915,796,273,574,206,548,635,396,811,290,288,
758,995,335,499,740,086,451,391,943,008,185,082,818,082,564,566,691,340,738,
947,655,559,268,236,244,224,421,169,255,028,313,667,852,540,365,891,003,111,
271,878,443,079,604,130,873,834,638,681,789,631,252,071,208,569,791,370,300,
659,538,713,017,058,276,400,660,315,528,584,950,854,518,552,783,573,566,854,
430,582,587,114,694,011,013,678,099,824,277,833,275,581,792,680,463,315,288,
807,865,501,740,204,261,446,796,444,722,426,046,242,593,763,066,255,797,809,
169,514,456,629,046,527,645,101,169,541,594,699,713,547,075,554,768,282,745,
621,951,200,262,216,531,612,216,077,669,468,911,397,966,525,782,737,660,991,
566,611,784,396,930,301,584,955,976,910,263,770,569,076,373,484,026,097,985,
050,381,248,644,183,294,348,125,996,810,797,129,236,391,983,348,249,567,577,
879,481,379,705,734,481,298,274,608,213,631,812,414,331,799,228,958,092,914,
791,052,215,127,691,520,792,031,140,103,601,034,018,311,421,386,164,868,416,
584,233,857,049,806,194,775,764,447,293,092,058,765,058,958,959,486,458,828,
214,486,687,501,794,107,907,615,592,129,281,441,543,471,009,438,789,712,634,
509,908,508,746,249,630,984,161,410,957,018,790,499,802,810,322,551,490,406,
324,806,254,768,236,922,935,250,513,485,550,694,363,890,879,955,474,005,777,
595,827,592,070,770,883,757,729,181,846,420,221,418,471,975,810,869,850,438,
315,459,225,406,734,331,788,020,763,968,269,416,914,912,729,484,519,865,302,
546,988,570,620,248,023,611,077,246,899,621,039,695,724,554,956,301,705,680,
739,674,565,808,180,962,236,141,860,021,659,032,063,046,486,604,917,793,509,
385,053,233,929,798,227,077,920,608,871,018,154,607,248,529,958,751,985,414,
458,248,638,804,893,384,435,015,018,187,161,046,740,046,527,080,273,514,683,
742,374,791,662,530,331,271,918,173,371,096,234,602,444,284,963,466,757,565,
721,734,296,810,404,810,485,786,900,058,652,223,741,969,145,232,790,389,652,
329,020,578,122,886,870,014,041,545,370,058,142,225,858,086,353,669,295,719,
576,064,631,937,446,549,373,449,828,437,168,836,977,476,644,372,842,542,789,
487,826,098,567,771,469,159,734,457,923,030,328,082,548,861,093,804,617,965,
886,498,480,161,392,685,631,637,723,338,760,868,402,754,172,960,108,773,469,
573,393,200,053,957,307,997,090,344,330,441,475,171,708,925,265,819,945,442,
808,635,614,795,253,540,774,573,180,894,012,972,854,616,555,395,211,453,425,
708,696,587,146,012,274,924,065,946,161,236,660,494,384,041,659,765,079,049,
643,758,035,552,488,962,498,118,794,241,001,982,832,350,622,439,540,166,843,
058,102,420,401,545,371,600,474,545,357,517,838,757,829,711,854,023,418,977,
161,236,763,253,035,647,720,442,597,439,333,967,132,808,348,463,725,179,312,
058,156,341,981,485,693,567,769,969,263,228,378,546,342,366,416,136,989,460,
696,994,094,399,330,386,520,664,608,805,487,100,457,932,503,318,313,436,092,
101,053,604,060,957,950,700,013,045,264,437,597,515,089,755,089,587,390,389,
907,084,558,868,998,275,016,431,214,374,267,389,969,629,271,568,794,310,861,
559,084,690,910,196,862,483,127,177,825,010,976,556,010,050,003,949,269,651,
770,789,299,159,139,513,347,410,098,825,848,853,730,093,858,891,488,238,828,
187,686,689,140,229,294,002,441,670,403,655,286,027,969,753,967,070,624,567,
978,957,034,477,536,071,074,602,294,000,411,176,123,564,949,716,642,083,040,
266,409,176,123,938,059,093,933,155,338,457,760,219,587,846,485,281,051,028,
650,161,360,133,764,787,412,487,549,338,692,558,991,404,804,271,284,077,695,
961,853,847,603,149,722,911,615,254,845,021,049,255,939,867,926,439,987,634,
425,584,124,564,012,986,625,664,800,205,227,470,112,973,758,903,733,547,723,
244,230,964,447,248,292,035,668,564,731,435,892,855,505,097,248,829,776,080,
176,480,820,855,121,132,383,406,808,763,399,196,103,217,790,333,280,874,927,
412,324,005,832,334,490,083,961,923,618,632,178,509,116,884,843,825,903,531,
027,519,657,022,666,484,011,107,996,370,704,621,213,048,494,212,437,145,939,
296,781,509,025,762,008,406,014,281,369,202,525,447,055,027,324,326,199,890,
175,119,744,954,657,380,429,449,247,172,885,277,243,516,870,811,284,978,925,
921,363,521,163,995,225,639,034,751,912,446,462,115,277,128,468,996,006,437,
849,017,620,436,983,954,838,014,050,896,159,952,451,558,382,628,022,069,073,
674,036,416,526,557,988,693,531,928,770,691,604,943,530,246,357,420,547,249,
846,225,524,648,446,798,180,428,890,700,752,380,076,742,300,065,898,307,065,
038,252,571,942,250,450,223,951,497,493,884,601,029,594,394,337,646,448,845,
965,466,381,724,825,037,863,284,748,197,963,937,591,529,829,279,879,777,984,
426,453,996,450,217,700,477,312,654,091,148,146,175,998,560,743,606,579,571,
918,873,100,340,786,417,224,923,284,473,352,955,221,828,395,189,946,348,232,
708,042,373,315,068,504,109,084,226,365,721,451,097,665,886,710,483,125,786,
467,581,965,763,888,151,938,282,293,694,541,507,405,349,318,561,626,164,830,
344,481,150,298,450,247,044,646,094,632,405,091,441,486,226,926,855,737,080,
454,151,143,727,638,634,311,307,359,593,939,537,736,035,636,232,234,977,650,
065,683,027,494,453,721,924,629,116,903,847,987,492,499,046,149,525,524,970,
574,755,670,190,462,828,194,000,817,059,006,219,321,893,173,853,846,140,862,
602,196,459,652,109,145,168,178,891,435,832,098,688,774,214,256,385,531,443,
590,478,700,098,087,913,007,572,428,067,480,615,163,871,258,039,001,972,133,
569,444,025,112,004,221,717,005,993,333,686,906,864,716,725,259,105,876,895,
241,975,053,602,837,400,918,424,219,010,058,228,522,696,403,078,190,207,680,
846,948,476,285,532,129,934,381,551,434,784,507,919,496,639,687,985,108,598,
017,312,231,598,554,962,714,789,616,249,426,015,026,341,248,754,153,625,643,
354,565,538,083,526,499,699,147,094,575,714,263,615,926,093,245,758,827,043,
161,838,985,617,992,655,285,612,342,583,662,030,526,296,720,072,073,899,373,
323,860,475,753,807,143,068,885,804,461,471,341,177,137,716,694,296,740,124,
521,967,099,517,910,721,062,851,958,557,062,970,233,959,348,153,167,597,376,
207,170,136,370,087,261,309,203,276,413,179,733,191,685,846,585,772,920,451,
330,387,171,413,853,701,935,846,858,172,884,887,826,211,232,293,223,321,368,
275,357,670,453,143,696,293,034,383,912,958,507,379,420,686,887,684,337,775,
309,303,021,989,238,513,435,424,317,134,278,722,806,843,445,872,014,053,344,
211,964,565,388,365,819,604,357,388,447,941,370,760,494,574,781,707,234,548,
379,875,849,213,328,155,170,520,580,433,426,133,585,007,859,252,504,479,231,
602,883,976,880,503,226,654,245,408,374,459,082,637,878,828,995,987,855,141,
290,387,097,533,178,309,181,971,907,804,254,829,087,127,907,239,175,259,744,
074,114,043,222,482,243,737,929,816,158,187,697,412,248,128,333,954,909,585,
500,323,708,607,775,403,251,860,295,243,469,977,404,002,110,517,658,473,709,
966,934,099,242,845,536,871,993,892,398,621,841,263,017,216,636,364,826,817,
619,790,386,832,778,450,605,468,950,220,221,521,362,548,447,563,469,306,568,
134,535,262,217,483,687,581,335,052,241,823,563,871,215,281,357,899,450,768,
111,291,700,493,958,712,825,382,308,228,352,852,776,077,060,534,429,610,922,
309,762,004,006,155,491,804,002,988,206,167,081,159,541,548,746,946,939,531,
828,162,261,448,951,332,593,548,886,579,726,224,649,025,163,284,193,768,298,
806,643,758,947,361,131,651,745,065,037,924,187,336,927,890,610,109,540,251,
530,723,963,732,141,243,907,164,011,974,497,022,458,074,225,879,618,910,803,
690,498,595,833,335,507,960,167,280,266,504,724,008,243,791,594,358,594,205,
808,925,813,168,125,396,861,025,395,134,303,567,074,060,167,200,597,527,193,
736,957,626,758,903,451,965,720,013,808,871,381,189,275,877,304,071,174,445,
061,259,471,936,487,255,585,291,187,945,789,831,121,029,656,440,105,672,388,
637,998,702,552,423,653,847,817,246,738,868,985,945,837,231,239,823,000,049,
390,550,812,366,113,200,114,874,073,189,535,596,614,827,203,998,154,512,934,
416,881,572,504,027,426,273,615,479,632,090,958,405,939,887,285,144,740,789,
108,692,679,297,696,340,502,713,189,199,135,771,752,823,046,400,028,334,387,
927,146,208,940,472,440,828,178,523,804,487,417,677,700,154,140,294,831,420,
233,073,431,140,486,804,113,435,538,863,492,653,303,860,304,983,156,505,650,
890,885,447,655,874,053,829,996,411,090,926,543,290,083,477,246,788,841,186,
109,785,380,348,690,642,017,281,660,912,884,836,023,193,607,845,405,601,385,
967,296,931,988,899,976,856,653,211,659,272,085,248,700,981,136,135,623,597,
146,471,867,480,116,371,132,726,248,690,495,938,862,317,465,842,310,144,055,
040,052,994,594,637,146,957,125,801,784,158,231,640,778,058,696,669,246,354,
595,438,804,662,308,467,901,347,155,567,052,824,242,428,501,276,418,438,300,
149,944,610,980,015,680,451,749,954,705,956,793,534,668,152,792,102,958,033,
772,404,358,452,304,221,708,558,992,104,268,524,650,081,797,178,379,785,246,
909,979,780,748,968,585,865,510,094,015,392,259,349,417,764,236,175,565,933,
711,679,538,639,857,858,092,013,833,762,805,813,364,647,668,830,970,972,247,
457,398,824,030,237,103,807,348,195,969,464,815,181,101,207,595,565,837,340,
613,296,087,866,041,718,770,637,514,826,237,019,339,061,677,538,306,401,165,
134,422,260,541,572,319,131,172,785,029,276,976,027,470,773,347,542,196,418,
496,351,832,625,033,706,101,862,778,840,776,718,204,241,220,680,998,777,088,
951,744,124,709,919,565,428,577,062,663,956,674,804,900,810,718,376,098,309,
784,063,465,886,972,053,392,321,927,354,531,028,684,611,832,304,916,893,784,
947,865,018,318,125,093,581,882,613,062,268,466,267,654,309,970,413,248,436,
268,312,961,446,076,391,685,183,299,508,356,935,147,903,317,603,791,074,017,
454,587,915,411,804,602,894,513,283,030,417,169,654,199,355,371,128,827,135,
745,988,205,040,388,062,062,827,460,050,702,818,946,012,842,666,882,241,715,
584,784,642,618,324,082,279,123,136,104,268,335,772,874,073,422,072,730,559,
592,836,502,694,176,217,348,048,145,202,366,322,457,271,511,563,009,721,858,
365,345,123,502,321,087,564,560,715,495,037,829,132,401,177,122,530,186,646,
330,797,590,574,719,316,731,365,223,823,264,979,975,447,524,815,619,276,060,
010,600,474,440,235,980,359,197,315,770,875,189,153,621,441,586,610,965,400,
936,647,519,005,302,064,680,911,461,642,321,611,211,089,590,601,923,515,869,
806,981,136,330,315,079,025,773,122,235,700,210,028,103,533,124,031,137,869,
433,097,717,923,741,610,826,302,082,451,331,482,169,528,535,166,407,641,743,
859,697,936,227,235,756,035,585,835,417,435,001,564,222,513,612,346,087,674,
005,044,504,405,725,085,420,790,416,807,095,748,496,783,558,512,376,726,494,
983,785,992,306,239,412,338,048,447,508,455,696,246,179,072,724,261,701,367,
779,635,669,243,184,004,551,856,958,052,604,672,712,079,360,514,613,968,139,
548,009,320,633,319,297,526,097,533,898,498,893,855,885,447,923,126,581,683,
757,408,539,249,920,119,080,635,578,837,815,440,774,805,715,073,979,443,240,
589,589,668,083,315,133,603,741,810,328,547,558,106,793,587,075,638,216,473,
226,794,472,245,532,739,075,663,821,500,563,998,107,141,432,246,029,595,277,
869,797,508,293,188,019,623,251,830,482,921,967,290,517,682,699,346,777,428,
130,359,848,775,373,100,832,618,625,126,237,633,031,069,420,564,040,186,642,
804,280,052,583,266,284,270,686,403,035,128,373,389,185,374,332,129,454,288,
835,964,017,710,281,649,536,722,577,326,115,057,036,541,185,280,107,722,632,
201,574,966,179,549,593,351,914,414,673,165,109,172,890,364,879,945,109,077,
368,733,013,600,761,435,605,583,909,351,694,658,999,737,595,626,800,961,753,
260,686,988,838,564,977,928,439,025,253,959,456,545,653,263,429,183,907,112,
712,973,046,757,182,699,527,518,952,869,392,412,243,530,683,146,596,747,718,
190,026,180,261,702,820,449,462,888,354,963,887,578,143,304,411,585,380,133,
475,463,104,994,128,799,565,205,922,430,414,355,437,146,980,654,018,579,150,
797,927,427,197,015,486,815,302,703,250,033,499,924,803,535,147,302,149,967,
858,027,193,522,888,613,051,905,853,682,409,156,222,306,493,412,284,880,768,
924,247,994,159,500,592,353,792,590,033,415,986,084,325,910,654,127,002,302,
589,177,540,966,395,909,592,625,512,426,780,432,668,618,812,707,041,419,496,
963,049,294,894,256,980,563,392,074,768,275,783,844,923,938,008,514,101,088,
903,278,866,689,405,273,873,790,555,769,082,324,830,148,923,010,638,383,668,
081,590,039,546,630,305,519,001,322,604,776,050,766,935,836,904,930,968,020,
756,575,335,270,324,670,541,723,629,923,036,197,541,183,792,799,366,468,162,
843,334,149,655,007,049,912,361,529,998,970,531,733,263,857,559,704,421,342,
614,067,310,320,864,342,876,378,810,686,849,926,253,404,512,470,085,295,862,
830,841,926,219,756,717,771,375,956,002,426,936,134,147,281,386,162,404,552,
194,632,683,348,609,242,779,482,764,344,254,810,390,657,880,564,180,349,381,
820,398,993,127,725,254,449,383,178,041,285,580,742,062,142,615,471,264,497,
625,130,397,713,442,938,771,449,195,604,474,744,315,015,281,997,174,525,901,
535,250,295,160,160,214,038,901,662,354,680,744,807,349,778,330,264,418,427,
016,417,707,684,101,986,510,959,713,221,319,864,492,592,450,537,681,188,138,
678,982,207,812,177,586,261,928,095,126,727,390,015,234,014,808,483,323,730,
010,047,731,463,158,609,329,225,764,430,957,113,895,844,619,780,266,211,372,
050,338,914,160,974,359,818,104,418,531,705,889,533,423,997,191,374,870,409,
845,167,192,779,859,660,207,119,202,051,038,727,896,938,028,800,637,080,856,
629,734,429,558,297,910,900,939,485,283,815,170,184,760,368,929,714,919,185,
756,658,935,996,934,896,260,726,851,427,823,261,545,600,944,883,903,113,572,
272,649,450,106,868,585,175,050,813,826,489,712,569,250,483,894,682,012,485,
279,888,037,806,062,120,601,921,671,695,352,612,127,548,448,872,689,499,256,
712,054,799,839,656,394,361,773,399,931,291,431,907,956,943,693,482,065,804,
746,438,430,755,127,432,970,338,746,916,389,974,552,187,153,431,232,476,027,
854,458,298,874,684,683,824,240,742,844,422,805,449,081,360,921,753,238,542,
443,409,368,228,187,326,476,799,866,889,053,598,487,284,230,063,040,167,812,
392,621,049,958,476,799,216,191,804,626,239,768,804,111,719,534,656,680,076,
595,117,222,175,352,774,232,763,732,723,496,568,937,499,168,000,788,764,146,
837,655,879,624,897,609,401,726,117,829,709,771,610,576,977,269,816,943,841,
842,778,394,469,906,048,219,586,235,800,919,908,275,778,356,274,203,453,768,
298,178,167,342,267,594,062,667,193,728,872,870,736,119,621,161,915,546,744,
316,159,138,041,955,357,183,192,497,113,836,433,231,327,506,503,143,613,617,
422,219,117,207,711,876,085,227,066,310,114,508,912,492,953,775,050,904,457,
634,241,701,704,417,867,628,178,890,463,618,178,927,981,577,758,647,320,982,
926,421,569,399,994,418,464,651,487,698,550,272,747,489,889,207,303,174,906,
338,715,200,980,265,376,268,676,803,907,031,454,498,410,901,913,384,410,876,
710,616,045,563,258,657,615,438,608,440,770,307,310,084,217,038,976,105,516,
131,063,502,004,465,750,171,501,647,440,062,034,045,182,385,091,201,975,021,
953,431,684,828,649,663,026,854,658,136,335,795,684,979,226,313,744,689,543,
917,770,415,673,998,257,002,723,259,287,646,264,887,894,128,220,358,744,398,
149,895,134,678,805,731,564,196,777,391,303,589,133,040,423,606,744,528,177,
870,170,628,333,132,162,740,527,592,881,557,651,956,243,001,864,445,737,451,
158,953,589,022,175,576,835,679,794,133,174,988,010,083,733,446,800,570,174,
792,981,563,817,246,515,134,107,212,344,372,470,928,159,674,120,513,356,008,
502,051,557,581,999,035,642,860,597,342,369,455,133,370,500,622,822,455,703,
562,398,980,381,954,009,081,900,496,036,023,622,384,100,916,766,769,891,107,
139,592,627,465,144,090,948,873,654,742,920,767,515,288,798,068,215,444,643,
760,808,245,204,807,605,074,125,462,730,210,884,215,153,688,552,849,244,097,
672,813,016,860,952,831,223,266,647,853,164,113,779,126,147,007,885,158,478,
000,400,188,244,351,227,362,726,246,508,476,320,324,244,974,924,008,367,641,
454,854,825,348,203,715,916,336,988,408,109,598,417,151,412,490,580,701,534,
732,237,600,351,096,310,531,442,590,205,635,069,765,934,111,008,142,609,844,
178,762,529,674,047,505,086,929,330,164,594,650,023,421,272,052,296,641,810,
018,133,894,364,298,603,814,560,429,449,541,912,865,445,707,795,063,221,841,
272,393,068,994,584,544,808,930,568,157,723,313,022,942,784,448,118,619,398,
544,247,736,873,288,080,891,646,735,074,276,040,300,393,521,977,333,999,748,
934,930,645,576,858,526,768,950,880,993,820,876,136,949,861,812,806,960,033,
853,136,396,402,199,196,107,237,760,459,944,755,740,134,893,711,652,599,922,
963,882,879,114,484,460,482,016,194,338,048,571,807,203,225,299,181,561,713,
052,081,113,477,968,252,676,619,788,796,522,946,087,211,963,908,338,683,104,
564,307,342,979,055,941,976,970,077,904,691,157,108,706,336,432,717,292,770,
059,251,504,353,830,735,937,256,976,142,509,254,139,417,277,707,946,133,939,
402,206,661,940,119,063,064,172,029,796,682,917,720,276,093,742,386,692,617,
622,941,410,932,428,141,123,882,650,628,159,337,476,595,985,937,671,792,800,
737,015,904,590,363,843,435,177,864,483,312,776,542,659,579,017,781,256,734,
904,789,555,748,127,420,162,878,776,867,755,951,075,611,404,492,844,464,275,
353,444,186,694,242,471,558,822,996,231,442,571,774,929,147,954,969,886,731,
711,291,894,264,729,778,679,444,230,714,596,597,507,626,965,792,465,428,001,
774,118,942,398,532,057,407,312,624,928,680,994,675,687,007,892,092,343,496,
033,260,235,712,950,376,297,679,307,816,032,696,910,180,760,242,383,411,226,
563,536,214,249,830,819,127,262,977,087,852,854,057,316,014,868,368,488,352,
662,774,672,833,677,421,763,699,559,689,647,914,566,008,170,008,452,700,524,
747,594,210,356,015,904,264,340,406,240,652,497,100,488,176,691,418,285,367,
065,098,625,977,130,783,802,507,583,371,885,023,387,269,545,935,637,280,024,
790,569,211,882,711,696,380,730,728,720,760,745,528,084,932,054,126,878,298,
410,295,510,327,244,674,852,591,325,379,552,420,797,797,314,212,442,650,335,
165,181,707,395,755,758,619,390,787,639,031,490,195,205,448,446,537,252,026,
268,047,237,519,269,524,069,231,474,537,047,855,634,300,648,974,808,964,674,
660,373,683,019,980,057,507,449,562,819,861,010,560,056,387,386,955,387,799,
074,623,483,385,199,341,202,980,559,748,960,803,410,648,786,612,554,820,190,
209,814,286,899,445,883,697,299,399,005,234,488,142,429,281,673,447,473,046,
680,095,015,718,982,862,675,927,841,747,801,575,214,965,837,222,579,816,927,
219,749,639,208,178,136,785,988,897,454,490,104,792,446,429,267,054,306,880,
718,790,156,685,318,214,280,768,973,398,925,965,573,732,394,747,453,874,049,
428,907,241,860,989,071,326,650,116,891,979,886,013,977,959,185,256,553,175,
015,816,539,630,496,062,246,283,314,109,374,809,393,816,746,896,067,890,619,
760,997,512,871,664,554,942,039,670,820,448,270,777,084,000,954,395,562,718,
901,686,300,060,676,885,853,901,314,814,706,770,610,866,862,306,019,265,934,
280,918,566,343,578,727,279,823,432,060,385,238,792,024,958,898,791,225,080,
696,834,277,649,308,127,344,395,203,043,389,676,694,076,628,179,409,516,999,
208,578,740,183,749,708,729,745,888,352,310,496,311,291,139,892,866,720,639,
662,119,982,688,977,780,373,895,274,654,948,181,379,256,076,645,184,486,043,
175,499,974,772,662,036,530,673,233,244,345,031,124,470,492,380,398,602,371,
811,682,347,121,046,965,480,926,152,734,388,275,446,703,371,326,101,812,681,
905,063,161,129,184,281,392,077,392,263,821,185,257,471,043,668,565,073,567,
083,715,849,525,631,103,123,985,253,271,798,434,204,656,113,740,554,631,090,
577,706,654,884,692,626,616,453,978,512,881,657,331,636,610,292,316,407,707,
765,385,458,148,487,496,793,865,204,806,025,193,549,067,441,063,086,491,581,
093,091,628,550,435,015,879,487,864,905,504,534,663,222,367,955,272,111,843,
128,272,124,829,917,413,428,219,201,525,584,163,803,786,321,458,750,539,514,
164,575,347,714,677,241,682,729,455,537,806,316,569,795,216,046,659,234,392,
421,925,407,940,467,879,183,257,236,189,188,205,626,088,389,576,266,146,143,
770,785,271,410,023,792,689,848,819,430,742,512,205,923,056,863,760,906,545,
610,038,659,856,364,744,698,772,230,450,971,673,216,069,484,434,234,750,685,
063,788,592,449,779,463,487,996,414,198,962,981,841,936,856,852,264,139,735,
317,527,606,321,873,072,782,549,746,999,207,911,675,239,741,633,586,532,772,
481,659,961,732,430,430,348,493,982,634,216,086,752,253,720,214,690,207,180,
940,481,676,928,444,587,920,010,820,852,229,465,596,054,579,569,792,794,092,
956,610,414,424,008,458,166,612,793,538,540,429,277,310,639,732,998,822,235,
023,605,045,227,005,942,441,190,263,965,064,457,847,152,247,085,061,702,869,
724,298,699,775,151,783,965,088,924,574,290,819,134,144,481,535,291,318,711,
616,259,394,078,130,793,909,244,799,434,928,896,202,761,759,325,654,455,553,
368,431,456,877,362,570,179,565,938,776,522,679,167,304,185,031,025,602,472,
243,705,259,617,478,244,307,030,073,002,400,868,795,529,288,263,978,878,265,
849,106,123,238,424,947,597,016,475,941,493,656,716,058,920,171,384,845,637,
694,277,139,241,051,990,815,033,779,408,766,092,971,925,195,767,742,944,743,
324,618,528,534,314,468,875,317,102,290,346,117,195,000,346,007,733,163,109,
156,852,664,819,542,505,449,770,246,739,249,222,229,679,487,330,643,959,962,
870,682,608,936,657,230,020,891,744,224,940,017,552,626,931,028,721,741,420,
273,205,330,197,607,313,841,821,352,352,219,473,004,285,076,506,266,061,407,
662,439,789,011,219,044,568,922,158,750,036,509,442,397,575,737,237,432,541,
097,036,251,525,230,296,924,665,675,370,386,991,125,984,918,738,980,058,493,
081,431,503,048,081,913,908,573,600,904,520,073,242,536,785,827,507,475,614,
382,782,650,355,517,447,199,975,296,314,540,614,983,136,282,883,757,133,311,
826,790,454,395,037,932,453,331,538,014,058,596,490,807,629,269,123,410,839,
978,800,146,886,423,136,382,184,563,533,866,393,968,580,055,743,639,491,694,
819,577,444,129,036,602,342,069,659,988,863,037,797,269,422,882,147,457,172,
628,811,199,903,207,426,764,564,375,386,265,375,496,189,284,317,359,086,670,
652,898,515,588,881,736,883,409,933,894,619,742,936,338,155,829,083,775,266,
868,864,949,807,057,346,886,385,623,782,018,163,748,477,940,894,778,152,761,
944,175,618,947,832,664,259,393,088,185,100,742,073,635,984,244,374,781,653,
373,877,198,613,885,790,616,604,625,932,763,349,891,709,433,355,663,517,778,
783,978,160,761,434,128,754,149,480,908,888,681,725,400,705,832,734,361,098,
769,048,362,186,428,121,722,463,866,006,668,829,056,671,524,349,632,067,295,
179,638,948,815,300,271,686,872,451,113,804,889,231,732,597,414,714,257,302,
720,499,786,141,700,782,001,586,765,339,549,957,999,014,120,821,710,292,858,
621,225,736,150,613,552,482,542,432,888,231,608,224,148,208,637,308,368,529,
738,138,565,282,506,983,585,567,476,066,489,415,372,679,395,892,395,569,366,
395,607,306,629,180,237,590,250,698,974,223,452,124,757,520,575,399,651,244,
619,179,885,940,300,736,034,350,103,270,897,226,149,327,583,353,967,780,617,
095,488,108,436,684,245,371,183,980,441,593,283,304,048,310,243,580,304,799,
805,165,465,035,692,255,099,059,287,122,743,230,750,341,361,435,417,685,963,
904,467,753,876,195,640,848,738,590,857,038,072,688,770,768,037,382,750,379,
899,820,855,966,316,473,202,434,333,390,502,675,842,882,604,628,903,281,878,
351,177,983,964,893,646,205,293,132,845,877,523,287,694,409,608,805,970,637,
570,909,311,358,556,807,738,340,659,983,711,782,194,702,744,846,377,424,624,
576,277,226,273,179,058,188,638,459,924,130,930,890,692,226,756,041,751,480,
603,171,805,063,808,125,654,841,919,203,644,477,513,172,463,449,616,257,821,
270,154,224,960,243,390,833,306,992,162,210,085,449,814,611,517,375,578,233,
035,197,310,070,029,096,730,899,016,396,814,550,054,390,374,120,133,500,068,
005,924,204,142,164,770,308,815,492,406,234,437,162,393,183,735,342,510,469,
661,137,833,753,332,337,731,787,281,457,968,710,301,412,601,144,413,152,036,
167,870,604,939,489,117,002,125,992,209,484,857,756,307,535,917,940,547,781,
468,842,331,749,737,720,453,723,642,126,235,650,376,876,250,923,774,018,220,
778,553,382,731,293,735,368,923,407,137,219,751,332,977,643,689,239,933,495,
564,066,179,520,794,263,476,338,164,988,982,978,707,049,989,550,703,709,644,
113,673,928,839,162,972,641,291,413,768,114,310,456,602,254,606,934,452,765,
415,177,376,918,881,947,978,282,640,800,866,778,754,086,540,002,667,690,028,
318,482,540,124,849,950,047,939,622,096,855,169,180,600,816,426,354,089,224,
393,196,614,802,235,742,998,916,437,496,585,646,379,855,215,701,651,025,534,
515,965,016,653,611,887,395,838,379,177,187,798,554,437,449,199,771,810,093,
027,924,020,607,414,862,997,850,237,620,995,486,312,256,430,528,732,678,057,
424,875,791,884,390,623,019,025,547,370,134,205,274,800,406,535,875,889,965,
549,927,984,717,028,713,328,917,775,255,580,087,414,059,221,220,419,939,023,
858,223,644,080,253,820,578,931,497,206,382,283,833,335,634,504,295,653,701,
714,558,954,480,871,615,586,524,817,274,328,435,601,560,036,364,543,499,662,
784,720,479,448,189,828,039,348,887,933,114,125,618,113,001,248,872,109,138,
788,073,965,923,698,131,887,055,163,156,278,191,315,047,743,577,881,913,988,
511,855,321,669,336,901,793,432,777,624,329,366,499,810,342,737,145,172,209,
401,348,842,632,535,565,218,235,767,777,085,998,275,520,793,129,663,103,201,
446,907,897,897,317,326,069,874,118,175,490,779,396,614,379,584,133,359,955,
463,063,606,173,831,519,650,737,354,767,891,878,257,003,473,735,717,710,782,
384,584,773,612,119,284,249,317,777,880,408,147,170,048,407,259,069,646,629,
753,844,595,776,405,377,857,041,649,552,142,106,892,372,281,642,352,350,219,
893,373,299,199,338,908,593,890,218,431,649,514,050,875,614,837,361,795,409,
317,025,451,801,329,490,664,211,946,778,918,014,640,209,380,639,121,239,878,
687,279,435,306,727,994,760,559,606,479,737,535,633,351,960,248,092,662,778,
570,550,571,112,538,699,744,668,672,615,733,173,131,299,522,239,866,272,406,
240,844,963,386,042,347,458,922,466,492,016,958,598,839,490,184,359,148,494,
235,675,753,196,850,461,259,920,521,599,465,247,358,664,625,184,665,948,542,
448,160,694,979,390,839,288,392,149,324,833,661,215,413,168,038,678,832,062,
348,388,065,954,713,721,503,350,324,800,260,647,716,877,297,016,371,720,653,
926,909,364,734,057,625,900,971,415,089,722,965,563,581,318,919,090,439,164,
427,841,066,672,886,691,107,599,074,859,600,033,191,738,879,047,281,708,395,
061,719,187,601,749,734,827,296,545,893,510,114,417,076,844,372,662,182,991,
822,149,617,259,203,465,395,390,984,831,817,251,209,516,678,536,871,376,183,
951,509,545,714,892,675,138,921,650,043,493,495,634,561,818,174,929,971,526,
847,626,049,288,502,882,995,669,355,225,062,965,267,632,610,510,713,014,512,
523,735,159,191,013,563,804,879,246,731,347,095,343,865,188,166,694,326,611,
099,727,939,826,152,648,488,619,229,909,420,214,295,639,533,785,628,457,379,
197,916,702,847,795,650,226,141,206,548,074,809,248,582,457,150,535,964,140,
429,344,250,367,554,533,732,446,666,630,560,118,533,210,100,290,324,846,097,
575,414,994,610,057,994,728,866,637,932,684,516,103,875,172,316,369,498,819,
936,810,124,828,675,539,645,620,929,487,980,419,862,701,299,526,704,298,949,
192,624,474,437,284,531,697,491,525,467,466,350,280,365,859,728,860,236,388,
164,392,572,678,973,997,310,082,318,479,745,941,855,969,607,623,384,967,693,
824,205,478,158,469,743,971,511,443,074,480,245,758,116,459,993,144,387,733,
503,368,781,908,506,196,427,767,595,325,769,798,045,126,936,284,882,045,503,
243,658,570,342,772,701,881,429,660,391,183,251,888,829,276,091,786,029,497,
963,893,189,778,379,904,346,706,001,982,323,162,127,182,723,819,347,236,129,
298,736,789,955,993,178,149,136,365,903,964,434,051,407,091,142,620,370,448,
929,346,915,133,783,696,348,461,387,513,150,343,734,886,544,297,208,135,616,
293,807,786,742,923,197,822,289,987,826,241,122,723,594,971,795,960,641,689,
778,920,098,903,914,841,842,326,118,956,055,345,192,029,370,449,017,773,465,
171,637,627,862,276,658,371,975,033,896,004,954,286,823,162,024,265,184,125,
250,395,974,843,531,781,705,840,639,002,735,667,251,045,249,395,502,122,415,
039,005,562,069,802,455,728,143,907,222,406,584,232,346,527,931,929,351,035,
015,991,584,234,708,988,630,922,144,469,830,526,674,551,013,416,903,640,933,
061,151,897,376,227,606,326,974,444,083,498,803,217,406,706,905,817,925,291,
872,793,687,245,363,800,428,645,835,387,537,841,477,413,543,327,091,934,340,
345,737,332,139,406,415,944,667,719,762,010,048,760,061,030,354,052,081,142,
900,109,561,850,373,235,767,797,665,261,581,741,339,641,338,659,385,265,947,
214,337,241,171,810,302,428,228,503,028,496,285,366,442,998,429,858,311,100,
817,909,351,956,217,003,641,360,357,213,038,089,863,298,659,140,218,808,621,
426,503,502,348,539,224,434,641,883,919,801,625,740,571,532,033,892,335,764,
261,908,535,131,355,288,393,806,303,350,248,002,853,543,071,418,484,409,914,
060,118,534,593,734,387,075,678,638,228,898,242,071,129,427,378,826,857,347,
855,284,259,327,843,232,185,131,170,951,694,563,799,152,509,966,262,527,675,
497,163,837,174,111,241,697,678,966,395,216,896,213,164,944,854,799,408,561,
964,371,637,703,655,740,122,644,564,905,923,352,904,703,484,720,045,754,478,
511,688,745,303,460,244,712,399,715,120,687,490,138,508,688,994,556,665,622,
606,294,394,009,877,490,570,467,262,707,700,690,713,088,299,289,591,988,031,
307,432,224,638,283,845,503,230,191,053,370,534,173,297,057,883,559,873,712,
803,783,981,703,316,410,291,883,191,045,716,956,528,704,993,096,694,622,824,
609,957,825,126,982,407,510,982,644,774,588,193,693,033,312,352,501,438,273,
783,774,392,513,764,362,750,399,493,480,626,240,165,471,236,826,869,223,334,
051,467,745,433,478,042,683,377,655,823,014,870,646,499,115,529,299,522,338,
261,581,854,208,672,157,927,989,369,773,784,605,373,143,489,937,422,435,069,
758,974,946,954,157,503,343,641,937,269,036,635,591,756,347,185,088,325,694,
480,590,558,958,000,996,285,385,468,323,550,952,654,631,425,072,709,145,314,
649,467,153,169,224,785,206,796,425,605,981,197,619,029,981,909,524,853,460,
338,568,928,734,408,215,043,927,215,419,911,725,492,404,525,128,846,963,910,
620,510,374,600,907,120,027,806,275,669,052,095,284,115,778,815,874,871,595,
272,554,371,580,202,831,105,285,278,278,614,284,056,984,680,228,603,343,250,
678,625,687,266,758,125,689,101,504,426,686,341,539,689,711,986,709,407,481,
563,459,670,932,184,181,129,677,945,966,424,970,221,371,608,466,658,588,947,
799,255,421,378,218,664,596,756,181,552,922,176,429,624,138,946,168,519,923,
731,983,829,424,423,397,159,456,398,399,034,879,151,937,301,771,695,522,382,
878,210,763,385,834,417,586,707,774,067,283,249,275,169,499,835,792,972,984,
381,334,385,308,925,157,570,914,563,348,137,690,058,865,574,583,378,617,332,
249,110,090,339,085,110,885,267,957,743,180,743,293,980,788,601,582,951,253,
231,020,431,161,615,193,048,035,789,642,005,218,753,199,312,019,061,500,628,
698,076,097,731,141,695,435,983,919,873,887,835,341,709,150,284,949,404,507,
812,194,376,217,789,654,368,041,561,598,605,638,964,831,002,687,588,025,787,
148,806,419,392,260,395,765,417,495,648,038,442,418,618,988,332,231,497,372,
943,549,892,323,822,450,816,066,258,835,649,368,009,711,483,919,590,490,565,
999,356,418,437,635,441,688,590,542,689,363,749,977,659,756,061,076,748,498,
775,985,952,116,693,482,140,307,568,324,684,570,167,974,055,042,206,445,039,
334,217,829,834,370,474,778,710,991,377,546,411,949,768,414,809,280,978,852,
111,217,678,095,462,779,191,840,252,866,644,775,900,934,589,174,642,646,370,
235,664,985,223,610,048,828,123,752,498,054,193,208,632,049,426,912,125,956,
617,150,231,985,145,440,631,741,777,803,009,011,368,729,836,648,953,817,235,
331,561,635,390,734,298,165,807,318,050,320,057,073,513,079,870,933,694,059,
557,835,658,692,144,382,576,425,714,318,283,344,755,415,914,409,280,433,757,
497,363,966,249,156,127,818,595,767,381,213,574,336,292,452,147,242,321,458,
091,304,441,581,591,681,450,811,811,764,123,981,467,239,977,260,474,376,295,
255,558,716,136,641,374,532,719,163,791,166,352,820,525,566,147,312,898,911,
819,333,504,507,104,136,298,343,912,403,168,082,527,416,670,777,604,806,480,
545,737,793,244,055,473,045,123,341,047,068,657,689,919,099,284,038,239,641,
750,701,256,079,273,460,720,409,693,878,250,284,489,645,271,580,004,344,415,
632,087,888,759,266,070,818,704,154,488,946,156,652,988,238,283,486,425,116,
506,783,356,184,002,882,211,268,373,828,940,068,400,090,404,967,788,577,359,
696,626,435,274,408,567,801,373,088,973,016,290,643,238,658,698,739,663,454,
159,019,430,120,081,974,274,201,127,306,350,244,033,428,608,906,635,530,156,
246,401,375,401,876,211,157,624,936,569,700,339,195,148,269,844,828,049,251,
730,293,106,273,118,634,687,625,142,451,312,599,497,292,612,960,124,258,071,
159,837,087,505,074,680,861,404,088,772,943,514,637,123,365,345,864,147,063,
238,481,878,862,854,659,847,135,041,207,586,562,791,962,715,994,780,880,580,
768,432,356,875,742,471,669,085,768,826,435,088,351,927,916,702,891,853,532,
562,744,380,829,965,737,830,884,348,989,981,628,873,205,873,602,268,414,869,
038,842,531,618,581,919,768,421,592,553,590,518,172,852,498,655,840,421,482,
192,763,896,488,686,247,264,142,804,190,078,240,492,646,703,912,224,073,721,
010,246,240,001,102,021,429,250,023,559,048,062,206,796,212,934,264,435,608,
443,738,286,480,642,744,728,686,190,729,948,780,426,569,327,921,715,424,346,
460,318,270,698,330,088,411,247,876,617,377,466,260,834,232,670,597,544,325,
442,559,011,230,090,654,710,371,652,272,229,430,965,578,984,580,027,810,643,
727,156,548,589,971,279,550,056,062,941,343,513,589,654,216,883,631,894,067,
773,974,025,021,065,034,318,651,045,277,604,391,714,311,475,599,105,257,124,
595,193,146,597,665,117,779,861,035,299,208,092,122,174,776,002,583,349,520,
498,168,437,715,048,004,483,537,332,380,164,556,283,346,898,760,709,171,018,
425,679,855,044,623,880,497,690,504,924,600,456,007,376,822,484,152,630,730,
160,312,834,669,540,077,921,289,864,074,115,889,376,404,713,155,312,984,704,
506,961,783,868,602,199,685,090,999,144,102,511,962,165,736,000,296,543,723,
200,034,450,769,914,650,339,422,610,517,179,309,633,261,555,272,789,991,093,
504,220,400,438,170,106,894,316,739,554,289,102,648,938,576,662,269,685,086,
141,637,468,485,287,676,642,530,642,661,790,594,021,460,743,801,280,751,916,
813,563,684,478,676,948,897,016,394,376,484,167,501,923,086,965,268,562,347,
659,805,110,292,270,711,920,336,298,398,855,673,688,252,404,163,686,916,315,
134,090,511,187,701,400,727,516,644,767,321,956,903,540,057,388,188,805,347,
376,117,393,273,292,565,297,581,860,584,187,110,529,740,218,591,484,052,826,
221,510,526,071,236,011,744,367,594,524,604,629,474,684,718,943,229,716,289,
772,007,909,335,478,883,183,958,501,046,753,469,040,409,667,013,594,666,432,
863,236,434,668,242,906,450,544,670,300,956,959,981,132,618,244,836,120,288,
912,272,560,324,491,756,585,530,597,651,230,829,825,674,940,449,244,767,231,
109,536,628,723,981,367,853,279,038,996,086,675,442,990,166,019,249,839,639,
556,100,591,507,793,106,380,826,820,072,540,242,942,613,989,347,805,282,813,
742,085,511,196,842,457,535,468,416,652,134,416,268,735,615,195,469,106,494,
341,528,095,619,886,660,556,375,671,648,401,625,595,116,747,682,943,682,226,
837,293,294,836,442,142,297,517,005,372,982,137,135,991,999,229,393,184,282,
424,109,504,490,440,090,653,436,849,853,954,297,759,741,244,656,195,406,786,
006,674,719,922,284,404,865,231,821,782,357,189,752,572,564,614,662,059,821,
131,605,406,140,767,453,267,215,971,503,627,785,020,989,376,104,544,591,044,
189,736,808,654,365,764,262,909,762,957,470,778,269,829,786,899,148,872,539,
537,500,306,041,419,481,769,591,558,938,666,644,018,142,147,055,851,938,333,
769,895,224,546,713,480,810,311,295,635,216,279,741,589,108,237,728,935,359,
170,091,727,339,726,567,259,465,019,010,138,555,710,502,032,853,292,391,441,
804,530,603,755,028,550,677,758,808,427,740,494,019,042,577,694,835,729,573,
107,787,647,447,278,247,198,574,658,376,277,987,912,792,148,061,289,579,978,
041,214,056,967,963,764,801,010,603,690,649,847,996,506,577,884,952,590,361,
834,228,576,668,967,918,883,069,849,065,302,434,190,319,903,642,917,646,860,
981,981,511,047,127,353,375,567,668,617,690,804,601,177,858,907,260,155,944,
951,833,841,401,057,831,889,920,089,290,141,920,981,927,085,540,842,827,676,
364,543,167,068,690,612,993,914,431,586,773,337,794,840,431,528,474,069,480,
271,951,384,129,015,291,280,136,352,972,322,351,452,090,233,430,368,619,482,
100,399,164,653,298,067,933,758,732,169,149,759,671,476,609,201,686,672,879,
695,928,387,205,787,483,519,856,617,868,903,825,860,337,457,765,357,650,758,
187,739,628,487,093,076,557,200,405,336,423,052,863,043,283,774,303,433,897,
344,655,223,599,205,300,872,554,161,346,076,590,131,291,621,274,970,393,380,
321,473,630,997,928,645,464,841,333,857,850,299,398,442,088,414,691,862,072,
941,155,262,284,023,201,538,345,603,821,031,858,028,007,284,125,825,170,103,
236,409,312,253,484,209,504,162,192,855,531,350,900,733,344,483,711,919,617,
659,036,112,484,945,158,411,261,696,268,486,868,420,586,683,763,242,700,478,
699,554,607,355,109,917,770,523,831,280,127,104,181,510,860,328,115,162,055,
642,700,075,034,617,640,988,351,464,165,616,796,547,832,893,498,436,549,368,
718,272,386,048,803,397,550,870,520,259,761,094,842,278,918,545,445,294,618,
414,404,530,961,996,357,741,403,237,996,074,154,168,961,215,711,730,624,833,
600,729,531,211,497,409,297,768,573,076,938,005,100,577,063,021,002,887,217,
697,131,414,690,386,315,753,156,493,945,498,536,761,551,035,072,664,860,500,
314,520,950,236,216,930,039,512,530,422,803,107,005,246,431,302,981,690,799,
248,313,024,332,167,516,111,376,831,083,175,203,186,193,355,255,485,971,748,
700,013,737,430,699,526,381,160,021,989,704,585,773,678,089,544,472,136,202,
511,895,528,498,304,769,976,302,655,910,790,507,484,131,353,941,125,541,063,
768,807,045,928,458,460,489,797,462,770,456,204,846,773,478,221,011,233,265,
955,519,046,267,184,369,153,645,777,675,648,636,973,740,260,722,390,819,421,
427,321,541,045,734,364,630,042,594,438,468,406,722,790,579,167,971,726,960,
866,782,039,667,386,293,730,637,849,795,960,361,554,254,101,909,510,996,422,
648,428,590,922,124,576,517,288,024,217,567,526,488,551,028,771,637,712,435,
911,253,908,472,182,625,485,296,561,496,087,989,280,298,541,268,069,249,814,
769,605,640,977,530,903,716,798,968,293,289,406,019,622,435,589,238,738,294,
854,392,731,231,329,061,749,343,418,834,256,413,486,782,392,658,749,381,015,
538,205,778,864,743,921,734,787,795,283,184,765,446,357,209,685,374,931,003,
341,852,137,054,197,624,804,737,582,511,847,923,453,952,712,142,656,468,815,
739,495,491,434,618,940,798,660,035,808,443,676,642,813,512,135,624,872,298,
475,684,804,588,634,090,894,377,854,955,733,094,455,987,518,662,268,788,164,
237,732,715,018,958,788,928,746,678,935,820,882,702,311,465,121,243,426,067,
324,433,562,814,317,798,490,924,229,940,705,834,698,361,734,359,905,642,397,
480,585,743,292,640,537,597,113,089,519,842,634,981,821,048,462,259,297,853,
249,074,305,684,933,856,844,266,400,998,003,992,553,222,313,026,148,118,859,
880,120,515,028,648,084,155,245,163,160,283,500,596,203,313,744,575,256,557,
071,196,189,992,088,322,098,974,009,664,483,524,178,330,204,786,839,517,332,
856,779,373,546,560,274,763,539,435,081,659,602,078,806,205,955,077,779,111,
707,516,048,560,217,378,850,549,366,932,176,049,559,291,100,099,205,857,417,
553,286,851,242,464,858,256,193,874,933,760,731,571,249,537,637,337,423,370,
420,060,506,947,355,268,845,006,385,411,947,656,160,020,977,672,463,781,551,
341,592,872,261,350,128,185,002,054,471,322,179,304,044,597,105,437,249,502,
099,589,732,841,098,819,826,198,903,608,024,704,930,207,595,855,546,247,657,
958,910,287,460,006,264,901,600,495,358,447,131,266,081,358,705,480,373,121,
599,605,392,484,867,243,325,287,649,586,412,070,511,011,847,593,495,536,097,
283,652,752,826,395,696,113,085,299,305,642,941,243,297,151,526,028,665,430,
058,099,361,529,660,379,831,850,984,418,308,503,027,318,619,325,260,318,764,
454,990,768,718,254,545,369,363,410,750,601,844,064,975,700,052,288,670,541,
097,052,710,371,969,243,596,199,610,555,180,411,974,850,629,492,221,303,623,
846,425,285,857,322,426,519,391,013,313,722,807,998,448,998,155,987,446,893,
327,867,050,915,373,499,124,991,734,906,581,709,514,275,259,235,686,333,697,
668,217,448,270,572,963,992,112,244,778,300,277,143,076,140,018,406,931,804,
442,580,705,429,960,419,759,022,086,102,820,008,948,446,478,140,763,836,208,
641,836,564,711,537,075,164,971,877,953,963,404,816,280,416,509,508,384,005,
344,671,836,250,900,164,650,420,414,113,273,386,893,778,533,239,336,774,803,
196,722,584,772,857,384,350,072,395,754,691,737,170,869,216,718,416,855,942,
471,536,083,338,401,024,739,862,137,145,244,333,851,309,669,968,215,214,507,
535,169,226,429,043,495,375,454,561,959,022,881,640,820,842,758,829,286,374,
107,530,160,671,447,417,838,324,759,492,549,760,899,679,287,101,421,258,595,
814,847,047,275,305,757,107,995,882,088,313,868,181,198,102,598,299,084,220,
966,210,045,919,434,271,164,791,020,257,985,161,885,630,162,047,791,249,252,
979,988,677,472,755,295,846,798,021,625,103,070,676,132,556,151,405,383,041,
977,430,375,451,322,735,067,779,231,801,767,253,552,136,585,979,668,272,118,
538,049,161,717,735,632,328,159,559,251,609,216,250,076,473,731,163,982,812,
740,951,234,795,209,492,325,698,007,885,471,753,615,560,830,637,131,803,774,
467,183,460,226,870,804,042,188,774,095,536,973,303,811,510,430,177,735,411,
303,907,592,061,183,661,077,030,351,597,789,400,253,461,119,887,573,119,562,
959,082,967,663,289,806,764,196,665,508,453,636,613,981,512,562,581,169,385,
686,033,365,563,473,735,709,336,483,140,029,139,753,611,876,154,536,866,512,
449,016,561,764,590,984,455,645,085,983,036,545,336,347,651,092,964,936,885,
460,575,563,371,968,812,269,505,834,427,702,512,642,862,296,060,077,083,598,
665,124,856,366,052,942,785,148,406,630,555,454,589,504,289,953,845,518,482,
036,577,479,875,162,389,558,256,028,265,769,995,926,660,658,874,499,348,224,
847,990,799,242,874,381,111,666,850,900,970,442,820,926,606,592,661,363,181,
146,270,692,076,030,230,246,728,541,351,269,458,609,868,175,133,912,794,346,
197,526,775,371,212,952,244,849,730,210,412,823,545,787,482,700,882,974,528,
069,565,179,046,011,586,205,529,487,086,885,015,668,410,950,303,968,685,096,
957,403,992,140,763,691,514,568,768,258,102,526,574,679,651,063,668,972,896,
143,707,920,680,211,048,515,331,036,510,413,949,438,082,814,154,769,240,653,
592,855,662,140,373,709,174,028,439,623,590,406,928,160,794,977,325,720,810,
615,705,624,882,380,565,762,393,856,425,070,330,763,818,103,150,425,709,983,
220,546,973,577,624,252,463,974,530,450,710,830,132,287,860,442,323,016,111,
922,902,417,368,358,150,934,432,402,566,429,973,962,374,462,316,155,961,933,
512,627,313,960,887,429,857,477,828,115,338,536,821,318,479,660,242,969,196,
445,197,981,594,777,819,275,677,146,663,230,446,462,110,744,531,203,493,426,
416,134,965,161,166,704,222,699,218,393,888,120,820,864,496,599,071,843,667,
053,826,542,046,432,159,771,657,753,388,608,399,793,699,743,397,130,054,802,
394,038,657,221,649,727,260,373,373,629,985,530,862,056,850,472,306,094,501,
794,180,784,863,320,721,874,273,555,526,327,501,051,063,537,310,666,564,841,
186,107,352,873,525,032,747,962,681,655,742,864,311,699,700,672,983,273,094,
186,169,105,453,072,380,831,838,838,120,007,296,332,697,217,334,429,129,557,
803,268,619,795,552,527,895,450,037,399,505,473,144,782,946,302,743,402,482,
224,999,649,996,218,078,133,427,214,129,707,869,795,337,085,072,450,990,364,
341,208,502,969,223,832,143,293,565,541,689,819,279,213,799,176,323,361,132,
264,965,156,708,848,905,706,746,249,602,449,555,600,269,631,798,142,062,273,
586,739,046,507,628,723,668,594,215,528,632,145,218,019,988,961,886,937,536,
890,158,905,484,151,333,082,064,936,158,926,492,470,105,798,554,413,983,287,
209,881,081,110,560,925,974,125,469,896,327,156,594,141,159,273,521,843,279,
033,950,622,678,757,698,833,850,060,475,989,851,805,854,040,806,124,184,124,
600,641,322,679,583,046,287,652,358,446,886,815,430,670,000,795,241,355,504,
033,231,786,252,822,764,572,278,789,339,893,484,943,189,513,910,004,235,802,
586,370,043,480,228,593,269,382,679,666,521,470,403,702,344,018,498,626,884,
039,196,627,354,472,917,686,027,869,811,334,064,177,275,402,926,169,645,761,
771,591,454,651,463,500,247,680,728,628,521,955,514,720,903,596,007,185,859,
589,395,067,354,749,256,881,298,178,454,590,686,530,453,292,534,572,820,417,
355,695,865,586,976,005,170,120,934,644,097,480,142,623,211,342,611,426,031,
830,690,028,758,720,373,216,707,923,191,839,479,481,583,702,836,420,019,571,
812,043,882,614,848,289,092,575,883,504,023,383,643,043,783,958,116,222,591,
873,024,070,744,438,765,380,396,052,888,452,476,555,968,369,298,918,894,970,
374,702,914,545,154,447,959,008,622,041,845,444,890,412,457,142,588,291,089,
149,702,010,390,028,326,893,760,943,655,837,410,904,544,328,686,817,735,726,
136,347,983,276,643,056,721,847,267,058,563,949,954,652,562,683,926,979,563,
070,144,949,221,347,959,284,834,904,992,728,141,208,191,405,290,821,949,741,
178,162,142,026,964,219,593,985,025,792,037,574,470,675,681,732,520,947,427,
406,184,540,376,770,468,909,186,150,892,029,080,277,812,195,514,740,344,613,
903,324,685,714,423,550,384,859,880,686,314,889,123,646,918,385,952,122,789,
146,908,349,680,526,291,011,073,288,007,889,115,044,380,901,278,246,123,975,
122,178,245,082,898,179,232,813,459,942,075,222,266,230,821,889,436,221,679,
847,135,024,098,360,321,242,664,464,470,401,496,243,039,166,944,400,370,793,
584,246,264,002,180,213,944,687,651,290,299,696,692,189,187,870,932,268,270,
037,812,279,939,569,924,807,181,329,137,666,087,855,052,618,879,630,211,563,
502,763,146,996,015,203,878,215,918,221,811,041,506,616,242,117,340,056,461,
296,117,178,505,004,504,932,984,218,535,608,476,561,062,068,417,414,938,948,
883,914,423,797,108,934,771,819,888,173,085,511,160,205,238,091,054,102,095,
996,699,585,982,721,938,283,541,396,527,048,901,742,269,520,250,944,236,610,
258,212,219,771,163,161,874,188,994,110,509,288,733,101,398,542,252,421,016,
330,925,736,247,587,425,537,564,508,109,325,181,579,774,554,089,605,181,264,
209,877,176,877,414,350,176,106,071,100,578,848,959,086,026,769,811,522,993,
578,509,532,749,443,672,263,553,706,721,632,392,162,675,934,366,957,561,247,
624,236,038,214,030,133,285,640,158,182,440,744,824,914,991,016,552,480,395,
882,976,690,971,082,744,358,804,856,634,690,022,047,641,087,943,198,489,844,
459,764,818,331,033,735,663,811,338,500,492,682,739,341,059,457,736,460,144,
941,212,317,747,035,989,674,082,715,995,592,208,944,855,810,769,368,978,870,
605,106,233,996,935,456,539,941,979,284,754,688,283,066,404,247,241,604,126,
985,484,696,141,784,117,785,026,160,847,463,712,380,358,354,052,160,174,622,
644,534,467,267,629,437,332,730,343,675,441,795,891,964,741,264,529,045,812,
621,501,704,440,246,705,355,644,158,371,121,483,822,396,582,777,872,811,284,
781,209,412,713,087,253,472,968,185,219,928,384,463,921,991,982,674,296,754,
450,219,911,405,800,768,737,369,132,532,985,864,808,920,069,656,088,668,130,
881,812,402,332,071,348,050,626,173,664,548,243,747,720,577,276,892,393,490,
624,314,695,755,669,226,331,206,709,236,736,606,065,803,635,063,749,295,627,
034,984,814,944,110,680,519,240,046,347,845,119,486,193,964,203,880,670,702,
945,923,448,923,441,861,994,644,144,945,515,187,500,557,641,784,501,814,937,
735,332,813,020,511,692,150,110,892,167,661,577,910,558,149,446,701,781,613,
474,410,618,568,415,981,140,068,176,907,869,025,302,091,385,925,935,503,361,
754,330,959,568,023,057,542,319,264,521,917,864,128,139,884,631,598,010,635,
641,038,808,062,711,785,064,928,383,082,057,822,897,185,028,842,208,067,021,
014,661,867,958,189,448,039,096,851,329,982,866,027,671,449,301,032,380,519,
176,639,568,167,007,679,592,033,980,860,181,752,294,959,794,182,743,316,461,
651,479,686,381,008,510,892,389,381,848,606,671,907,268,510,734,624,511,791,
096,742,650,963,017,635,608,700,897,774,324,000,074,673,452,099,571,363,150,
493,813,504,638,019,605,068,376,546,014,314,205,623,261,689,301,821,407,765,
252,193,552,305,453,592,313,512,052,814,763,999,539,209,615,378,793,853,329,
873,588,057,359,280,100,546,174,099,316,915,497,930,745,627,043,405,151,311,
953,815,183,962,184,440,194,563,184,397,322,467,712,652,509,250,161,870,456,
853,106,259,705,708,272,682,021,324,812,742,790,321,455,514,438,975,983,084,
368,055,521,453,369,183,495,168,867,171,223,432,313,932,037,374,693,264,910,
251,453,351,338,895,961,316,032,517,470,601,843,779,762,997,908,220,028,662,
053,218,616,147,296,437,808,552,651,164,149,087,101,967,126,937,818,719,111,
283,548,030,237,600,005,400,471,216,310,374,772,609,209,120,641,143,033,117,
985,137,543,604,087,782,081,578,776,541,176,507,902,920,237,391,957,474,894,
552,479,923,330,183,981,867,239,109,186,640,492,593,842,980,452,053,593,367,
788,721,691,396,490,969,457,111,557,561,782,182,859,378,570,236,270,384,486,
524,210,767,866,853,770,491,043,616,942,616,878,041,794,423,063,250,123,499,
545,668,966,430,120,175,964,766,116,251,712,849,788,758,949,884,960,366,926,
135,365,352,704,957,147,918,078,754,362,545,939,118,270,196,181,808,958,959,
192,629,396,582,619,977,705,681,001,014,379,588,547,975,328,847,703,048,081,
815,196,214,064,112,001,960,878,296,856,065,098,543,695,236,803,826,315,760,
108,390,135,136,911,276,995,336,912,877,269,567,723,141,459,846,900,120,824,
237,872,418,434,326,762,322,422,269,620,954,862,706,912,157,455,626,260,502,
923,991,446,657,887,352,264,859,573,618,588,708,916,109,513,814,658,792,659,
175,327,548,508,876,901,803,424,514,010,662,432,171,351,426,448,245,445,170,
099,112,565,010,814,766,919,387,097,396,546,133,569,889,256,088,746,010,947,
018,774,302,132,142,181,773,062,695,362,550,148,292,899,018,120,109,405,355,
784,919,951,279,668,262,706,809,976,376,891,960,804,127,339,776,466,079,085,
760,367,062,299,527,354,284,205,840,151,786,131,225,630,834,621,015,214,931,
846,726,200,767,065,219,836,148,828,798,729,046,304,133,077,160,125,480,514,
057,902,211,905,332,823,255,402,668,325,533,884,244,335,047,580,304,071,556,
826,449,933,227,110,811,480,093,200,778,946,337,006,984,834,266,718,031,036,
500,761,907,840,432,087,391,763,004,471,376,489,704,449,755,527,806,868,902,
301,668,099,846,683,463,118,824,304,320,141,653,788,785,976,942,602,440,965,
707,301,661,333,159,709,670,274,927,890,804,463,208,131,338,559,949,520,972,
532,971,131,092,968,993,049,878,752,273,462,761,259,426,278,692,072,368,668,
999,317,049,487,865,835,025,460,984,307,188,629,261,254,475,039,590,333,941,
713,893,788,376,004,596,713,063,663,353,043,455,797,511,355,886,271,404,849,
466,885,991,687,118,428,112,705,149,840,264,607,146,148,344,318,488,651,802,
530,584,358,023,321,704,130,543,866,821,724,049,059,456,145,768,448,189,322,
301,532,506,674,632,295,264,721,126,566,077,494,620,150,965,512,475,690,293,
102,317,067,551,092,340,695,480,880,005,978,107,393,576,252,039,494,966,743,
431,659,399,175,580,320,296,993,843,603,795,390,171,024,222,640,140,677,786,
220,679,975,845,395,087,673,714,038,614,801,193,853,732,553,567,594,885,293,
222,486,155,072,946,214,006,883,162,927,013,013,537,937,359,611,044,006,333,
223,835,191,379,620,630,228,029,552,549,881,439,342,984,339,376,602,699,606,
088,171,054,956,000,289,045,476,799,914,295,030,548,745,120,501,383,592,189,
580,327,053,664,522,697,757,987,508,143,152,380,359,311,279,013,339,512,256,
946,507,509,028,424,115,635,887,190,767,319,500,117,200,017,646,516,307,331,
286,952,743,368,509,871,572,185,405,278,842,816,125,571,610,387,383,124,748,
572,071,416,075,972,007,078,849,971,314,383,327,790,818,308,242,489,087,074,
728,893,841,851,413,103,556,835,683,993,377,215,548,815,429,814,255,721,870,
579,461,009,046,597,897,426,770,782,857,729,366,923,909,181,980,397,008,491,
176,606,367,058,879,492,681,589,222,150,260,468,218,876,541,431,540,254,641,
976,583,250,082,445,158,498,073,365,761,005,435,333,018,825,444,835,578,608,
092,632,343,776,659,510,792,130,676,545,080,345,594,056,601,817,785,671,302,
890,026,776,967,444,255,446,422,346,323,799,598,761,690,738,934,433,427,117,
323,234,888,351,565,124,645,977,949,798,491,859,821,740,916,157,750,601,410,
741,581,456,462,018,689,294,915,908,892,632,081,574,140,417,369,780,370,412,
105,139,242,552,353,912,167,693,480,831,510,887,808,847,719,812,939,461,164,
601,344,283,246,569,339,217,817,839,443,707,006,472,257,010,280,187,985,437,
974,767,977,431,481,148,058,451,285,878,000,736,064,174,461,768,913,636,158,
729,939,726,747,825,464,162,473,147,747,242,529,282,715,433,996,624,211,174,
249,399,183,744,396,397,366,810,232,433,462,023,115,085,307,796,345,549,464,
813,156,651,712,180,161,660,201,816,924,105,474,403,773,922,638,141,256,974,
801,661,596,223,295,578,651,306,742,435,075,160,906,399,926,549,824,941,855,
749,174,314,194,637,586,162,840,616,033,149,887,764,510,635,977,665,774,574,
360,254,170,990,173,695,320,890,803,660,035,807,167,580,399,972,625,799,957,
049,931,176,018,763,763,358,338,059,068,515,807,923,380,233,363,224,695,060,
336,689,908,544,694,981,801,244,789,672,935,005,923,928,322,781,487,119,126,
338,391,529,200,039,217,147,821,131,564,476,620,550,303,666,987,576,666,932,
725,318,686,461,530,551,490,937,575,941,151,663,808,022,093,136,839,653,919,
871,774,343,099,455,558,469,098,767,532,171,671,538,054,172,847,920,807,177,
596,040,220,994,018,954,959,807,012,344,468,134,083,495,704,123,476,082,382,
314,586,025,908,291,314,714,364,965,372,944,016,893,648,273,635,792,841,688,
281,955,655,051,718,798,392,304,427,487,552,998,962,260,593,146,563,173,674,
496,968,420,986,899,193,088,984,507,268,522,290,204,237,552,150,825,364,227,
133,737,107,856,899,906,777,965,189,336,787,367,532,002,758,225,104,151,640,
644,268,837,514,377,914,277,387,220,574,640,987,549,292,476,639,933,440,526,
993,510,805,678,937,102,210,422,996,967,584,242,426,750,596,282,838,901,541,
951,106,220,540,926,451,902,864,697,525,299,445,174,836,331,648,897,459,469,
827,100,837,112,644,032,853,439,555,205,772,872,872,891,148,568,560,151,580,
035,418,560,050,188,717,385,668,546,461,553,082,187,640,628,006,462,998,286,
318,331,450,840,043,471,677,921,173,107,416,993,349,532,019,485,355,610,047,
982,589,823,809,123,895,028,753,025,310,781,767,831,945,029,897,188,230,952,
285,541,803,293,769,751,475,977,446,586,008,464,511,442,646,193,140,738,838,
627,089,669,137,174,358,222,469,710,215,628,269,926,540,346,503,570,223,365,
568,048,482,510,954,529,255,127,282,534,879,346,709,703,270,362,584,282,182,
161,903,759,905,316,984,741,932,100,444,131,479,509,368,802,753,026,636,441,
089,295,519,724,661,823,865,012,521,351,117,297,674,202,721,906,138,750,843,
333,594,530,941,319,530,741,973,805,611,536,094,381,259,051,771,057,277,689,
598,045,821,163,003,950,750,356,412,793,948,248,294,754,980,894,979,112,757,
358,528,226,203,487,559,872,819,047,233,424,142,654,211,103,331,782,925,568,
584,544,358,595,268,225,307,229,742,631,543,763,642,651,817,551,914,095,543,
397,356,788,837,135,917,231,354,279,573,187,859,378,590,100,053,170,945,260,
625,443,022,979,529,177,413,117,366,157,076,044,976,065,219,620,979,118,774,
977,462,869,781,375,928,803,667,200,276,133,866,954,439,273,146,496,444,298,
838,895,735,590,234,248,167,139,824,925,341,259,360,959,887,556,915,478,000,
709,157,051,843,164,714,178,368,666,338,527,444,822,557,122,985,427,458,212,
849,913,669,049,109,601,824,460,284,828,321,128,642,520,686,283,595,774,809,
390,556,769,611,838,152,929,915,983,735,707,436,666,175,912,997,009,122,405,
893,418,250,317,534,808,838,395,952,693,284,798,150,429,803,592,849,060,009,
876,354,201,061,161,377,808,485,721,941,266,011,486,024,652,084,833,408,146,
274,825,076,465,997,147,021,948,751,832,651,542,962,572,910,318,073,394,016,
429,995,788,522,508,894,581,492,656,736,431,387,895,639,689,560,078,038,521,
079,299,782,289,516,834,197,981,409,106,765,236,748,287,088,593,541,872,704,
262,894,289,466,680,128,115,973,646,797,347,205,232,120,993,902,802,682,517,
242,109,167,670,155,979,429,148,848,246,207,693,078,946,841,243,053,553,853,
027,418,443,595,184,435,591,321,797,097,869,811,964,433,589,233,107,102,495,
887,751,923,528,168,133,308,346,960,621,449,293,986,322,323,333,772,807,453,
789,985,602,071,662,583,478,643,941,294,084,559,191,603,170,927,695,195,811,
429,086,703,491,879,049,756,225,432,440,197,813,509,533,882,670,081,534,676,
581,933,157,197,852,639,584,647,858,527,745,660,269,790,642,130,440,726,755,
653,314,084,545,826,600,379,852,414,447,468,371,625,441,809,232,972,206,401,
129,940,815,625,270,914,752,631,337,591,581,098,028,486,943,657,743,959,271,
297,649,396,335,026,484,372,836,085,955,112,678,902,958,041,029,104,316,242,
410,948,552,514,789,177,532,194,655,772,084,171,656,655,492,343,672,074,575,
735,831,978,387,843,016,997,550,472,389,833,690,973,250,366,802,597,256,607,
531,431,140,150,833,119,931,038,864,792,084,725,442,635,474,577,999,633,409,
684,183,901,460,712,182,930,493,111,866,529,312,613,909,447,694,885,235,538,
571,755,105,678,633,646,933,871,029,870,739,034,346,582,891,888,253,701,731,
724,201,661,157,382,148,059,589,963,981,533,080,599,572,146,193,014,137,848,
340,510,563,970,067,873,105,312,989,178,407,127,801,082,585,421,048,949,950,
976,993,924,387,914,130,574,761,627,274,779,958,618,773,036,467,890,825,162,
488,208,706,482,106,815,017,481,798,778,162,502,914,342,956,538,406,422,019,
711,214,501,365,489,195,825,329,791,509,392,693,779,362,039,792,271,946,783,
173,551,478,038,023,448,094,995,948,506,940,112,942,432,444,936,606,828,220,
177,356,525,938,630,417,269,066,116,926,019,861,041,984,783,589,189,639,212,
296,565,613,900,062,809,889,591,607,504,586,461,526,934,677,786,273,875,902,
386,603,351,378,578,238,817,641,109,450,775,996,418,143,250,175,710,040,385,
319,315,379,473,469,322,193,695,297,563,627,572,852,041,176,797,250,674,321,
429,965,616,254,564,494,929,107,791,590,813,311,669,525,596,557,752,833,846,
251,855,548,454,389,511,771,957,790,446,523,182,267,115,904,380,770,897,408,
462,894,544,133,353,783,922,852,570,816,405,354,750,160,020,488,503,513,985,
481,035,027,264,570,811,621,986,577,070,416,426,911,000,490,192,820,168,001,
292,693,482,709,021,740,668,595,247,908,793,191,375,207,754,308,590,609,849,
164,575,964,045,760,163,560,225,297,823,948,141,114,250,182,596,415,732,890,
688,737,707,475,013,058,212,479,436,844,446,183,166,799,684,683,072,114,055,
800,868,643,075,938,527,541,784,788,404,438,867,639,586,114,756,353,058,642,
894,108,097,060,775,674,065,214,739,834,363,182,651,877,008,066,144,231,108,
913,229,446,286,445,611,664,658,775,382,014,582,791,601,279,838,593,536,112,
565,381,826,624,257,001,438,727,695,335,257,103,491,368,352,307,910,766,850,
711,623,713,846,219,197,859,469,362,946,573,215,433,827,809,123,132,726,906,
265,685,709,049,559,233,533,196,520,780,057,585,038,494,635,924,753,660,333,
737,332,842,033,844,788,529,606,930,305,882,960,263,857,019,643,552,620,202,
240,070,040,591,288,141,784,753,156,844,951,806,342,729,698,826,755,608,507,
959,496,167,487,286,443,257,241,122,640,916,960,722,333,814,092,656,660,266,
327,946,432,042,758,898,907,817,720,253,414,787,368,164,429,474,004,376,603,
463,340,985,473,116,770,650,779,390,509,177,771,455,086,375,844,890,970,766,
059,214,561,930,767,828,945,458,451,224,141,281,969,076,751,670,178,024,423,
380,424,107,284,787,195,445,713,122,928,561,308,116,639,803,653,571,340,259,
344,848,690,740,411,714,442,982,312,853,421,745,819,007,792,971,867,588,435,
130,508,748,784,272,319,403,730,959,267,096,268,238,079,447,067,040,969,690,
740,670,152,633,419,146,401,412,356,305,445,758,837,515,968,720,109,830,921,
908,141,554,755,227,729,688,113,258,955,118,998,699,768,720,173,326,338,260,
270,578,599,980,591,490,694,459,709,193,777,963,286,159,632,497,001,342,711,
398,783,388,617,962,202,612,401,667,363,935,678,969,674,194,256,648,379,036,
428,556,866,684,550,830,754,494,329,559,300,633,107,216,078,774,540,353,204,
187,056,335,259,938,539,685,200,526,674,046,160,861,462,439,509,544,280,536,
765,930,010,907,043,160,827,818,709,721,589,792,810,580,619,218,809,832,652,
429,998,977,324,793,358,778,593,256,354,276,509,347,422,471,056,319,059,330,
574,756,386,751,894,617,607,702,307,367,291,232,644,202,968,059,787,646,113,
497,095,867,325,857,698,570,318,958,147,367,151,890,282,326,341,066,387,545,
870,436,670,612,088,137,768,222,842,014,687,502,595,348,274,460,716,879,356,
908,639,841,293,904,771,171,707,769,041,334,522,617,722,840,547,624,739,035,
631,695,799,078,779,393,781,176,222,021,881,605,754,533,416,512,884,890,800,
621,647,408,712,426,784,760,567,561,342,871,581,698,168,641,252,237,800,980,
008,372,426,208,350,476,429,648,202,791,792,749,871,157,982,856,587,097,294,
815,476,874,888,943,039,596,084,774,512,438,439,918,136,486,865,115,806,288,
831,879,548,280,035,524,685,636,689,551,840,803,509,488,456,958,542,149,615,
856,388,575,900,922,440,449,302,693,229,206,399,758,329,400,587,180,306,092,
246,840,341,455,533,908,888,150,898,342,635,545,137,579,788,639,186,804,057,
335,936,809,722,469,105,916,015,751,965,899,174,755,361,246,163,409,421,363,
761,424,883,823,469,939,157,066,142,857,930,195,292,279,569,761,220,870,196,
862,464,138,653,806,232,831,515,255,600,536,420,492,983,884,885,485,804,848,
838,106,011,917,214,666,770,791,540,820,880,549,130,863,117,682,502,176,302,
976,914,329,174,189,823,669,677,245,822,501,407,921,558,822,957,842,599,695,
244,081,497,715,106,948,075,714,712,016,517,120,387,550,758,948,043,935,145,
570,283,530,672,385,401,716,627,718,247,495,066,269,061,651,387,286,333,841,
196,024,690,874,904,117,008,255,704,307,490,304,912,064,735,576,768,492,460,
073,873,732,385,943,673,875,337,446,378,335,670,574,097,124,128,851,723,460,
087,064,735,893,289,081,190,153,452,065,318,712,772,093,769,832,343,963,945,
513,408,092,419,923,824,833,200,843,416,816,222,998,069,794,515,253,838,712,
798,020,091,699,494,672,921,701,314,615,390,437,467,259,331,089,375,549,017,
665,427,341,091,284,260,998,773,897,827,160,792,789,227,466,087,905,178,312,
420,455,280,719,274,764,070,583,538,207,657,953,139,994,620,824,052,722,188,
428,721,399,380,704,210,411,372,316,324,794,163,998,327,189,905,234,536,827,
744,291,842,594,957,577,796,756,096,083,956,334,200,957,369,418,096,558,543,
122,920,936,761,722,773,601,265,075,077,165,712,759,921,729,901,506,993,994,
577,209,732,199,881,108,906,935,076,111,538,100,633,885,796,359,025,817,346,
533,507,532,747,870,647,386,464,309,165,628,666,396,104,179,664,623,940,302,
008,810,042,094,758,145,464,797,550,568,532,195,653,851,530,678,886,923,670,
563,672,590,581,119,684,487,873,610,670,327,493,821,051,833,944,264,412,643,
369,243,677,187,064,143,153,693,510,456,890,647,346,009,730,795,938,809,214,
727,478,910,735,350,130,153,998,591,500,748,686,663,825,682,350,214,420,745,
905,947,499,717,260,510,204,678,058,027,164,887,833,888,115,528,305,192,261,
788,567,533,374,241,332,949,796,957,108,969,756,370,570,801,673,224,875,394,
546,340,804,242,235,070,198,370,028,102,760,898,354,439,479,061,017,811,493,
688,747,586,927,117,864,778,616,359,575,203,118,398,142,398,765,343,989,415,
858,735,540,550,612,488,114,613,827,521,040,273,904,243,722,997,588,350,734,
591,789,718,156,674,524,617,011,943,556,403,874,786,582,883,594,713,123,721,
026,342,434,610,849,762,715,454,253,034,332,024,538,812,923,164,857,154,867,
670,173,964,966,231,811,127,136,270,620,610,327,264,466,395,470,106,584,186,
086,865,267,111,154,136,809,216,296,653,330,332,034,119,094,488,728,301,029,
019,114,990,101,237,873,455,828,129,889,827,383,396,411,578,475,395,693,982,
631,422,390,764,505,436,602,083,935,567,327,169,455,506,732,723,120,049,422,
100,792,663,975,909,982,349,470,608,605,546,482,475,287,830,833,588,590,697,
681,757,212,198,676,946,450,284,904,144,428,885,581,185,513,902,466,819,448,
599,275,291,080,894,770,831,663,295,895,884,780,855,503,068,707,656,953,893,
729,394,142,169,196,059,478,775,844,681,753,805,380,702,158,884,492,390,862,
795,803,798,240,030,774,764,748,541,213,366,190,244,564,100,250,611,251,805,
806,162,743,465,746,169,312,520,310,034,704,304,746,686,214,543,774,795,414,
888,929,931,967,829,832,751,852,611,999,851,800,193,619,962,612,337,777,906,
555,142,955,887,418,581,214,293,864,373,717,694,047,627,670,034,879,764,694,
118,884,668,539,253,904,698,351,407,382,908,110,024,679,796,500,449,750,735,
557,939,546,612,825,448,782,307,782,351,994,037,751,400,716,650,990,030,379,
873,777,055,390,915,233,447,662,336,288,849,210,063,142,557,172,459,074,175,
091,115,097,775,314,802,426,807,893,538,392,738,930,806,817,201,621,109,129,
285,405,203,902,489,120,782,015,259,127,885,524,366,163,977,714,150,527,614,
061,733,650,611,666,180,547,787,982,674,391,433,430,845,539,272,059,867,110,
989,058,035,387,168,137,906,504,891,849,310,402,870,258,314,677,366,568,033,
976,892,647,279,254,230,179,017,878,909,116,389,393,557,392,010,101,506,465,
366,701,207,472,859,730,302,330,106,266,010,899,330,348,180,491,853,042,412,
963,100,024,835,803,544,643,715,877,598,835,904,020,531,909,031,448,693,962,
518,345,855,897,604,034,611,099,153,601,968,051,536,616,431,546,705,104,692,
592,353,749,193,138,727,357,982,428,281,198,620,375,709,490,919,282,980,094,
270,223,229,590,751,985,703,330,585,569,499,319,810,639,552,876,901,385,799,
273,822,873,304,472,469,143,602,936,116,444,628,382,278,743,232,645,572,444,
235,485,612,917,707,313,217,284,071,055,029,558,392,585,156,446,939,118,951,
264,094,083,857,507,521,288,050,386,047,655,358,628,456,663,102,022,223,742,
647,033,683,337,934,738,654,007,127,987,682,369,435,818,273,560,874,535,859,
921,139,235,436,762,782,488,694,598,085,023,250,691,306,712,418,761,636,919,
211,114,152,822,018,883,053,308,214,307,403,843,617,165,819,912,512,848,544,
156,930,958,801,475,691,689,245,849,799,775,355,347,846,551,583,907,983,233,
961,338,503,857,659,559,548,044,810,135,675,689,241,448,883,622,741,021,181,
808,121,176,426,953,920,931,906,571,974,509,959,774,057,004,054,433,304,421,
613,109,119,193,837,539,610,963,467,655,215,859,359,445,921,416,521,022,394,
679,058,968,794,261,891,722,021,746,529,371,114,290,058,395,591,953,460,409,
238,029,037,246,458,803,633,880,903,606,246,253,952,731,778,329,230,569,915,
674,663,377,686,464,501,215,037,012,865,299,062,586,677,476,546,518,866,660,
958,171,271,689,473,664,598,440,366,919,152,217,712,198,545,271,405,423,920,
719,513,935,024,839,253,129,280,681,864,173,616,679,579,453,310,389,775,391,
627,008,712,207,081,333,755,004,868,812,807,983,178,442,557,131,555,422,331,
349,159,052,065,476,270,400,426,442,726,413,018,859,026,272,328,264,317,700,
685,544,308,851,209,431,806,142,590,390,713,118,070,453,049,764,575,328,210,
747,282,858,273,005,537,930,042,810,515,718,120,877,922,067,999,623,174,911,
676,238,406,332,328,587,750,032,717,683,075,907,926,829,187,335,449,265,589,
286,171,553,270,149,996,555,016,808,403,900,106,854,267,401,956,051,156,233,
425,048,583,368,210,928,808,247,731,518,291,510,308,525,952,066,186,536,487,
984,924,708,909,215,242,644,833,720,898,634,603,596,687,678,883,387,257,423,
777,958,391,706,758,194,373,974,342,556,214,246,213,917,436,609,712,974,030,
403,085,402,104,161,862,371,685,309,191,873,281,836,758,417,337,084,235,616,
397,502,096,011,178,238,688,489,231,350,897,167,207,088,411,331,828,752,939,
951,073,272,456,637,410,209,934,000,103,301,341,123,914,113,817,996,218,328,
802,801,870,733,846,367,431,816,871,683,573,723,899,059,251,305,093,953,126,
849,892,445,267,475,397,255,428,710,799,581,180,032,718,501,253,718,795,614,
108,872,974,606,110,633,345,792,460,715,642,693,323,307,425,851,018,321,855,
197,192,414,846,168,491,308,106,789,748,774,785,139,719,965,771,857,123,428,
027,595,493,976,954,865,325,628,348,057,919,085,618,549,955,112,235,515,876,
050,215,476,017,531,920,279,600,922,069,454,594,859,932,792,469,965,171,932,
819,611,972,066,275,636,982,178,650,040,983,961,835,080,349,923,522,820,962,
826,293,087,920,699,680,253,112,545,793,138,649,259,853,717,658,903,024,861,
544,732,033,686,434,279,632,045,033,823,012,286,623,774,972,830,406,251,471,
513,470,651,006,791,645,969,945,159,081,591,921,574,223,963,174,440,717,524,
028,979,138,889,673,651,994,268,404,642,612,796,644,880,947,406,571,776,426,
962,109,533,051,057,358,652,418,292,901,465,158,982,932,431,682,929,695,455,
339,251,846,797,837,172,924,905,870,816,479,915,774,959,172,054,767,029,061,
311,157,934,413,819,980,803,377,283,171,981,966,466,913,671,233,801,956,327,
547,302,530,677,164,797,055,236,692,208,223,920,071,240,070,918,229,601,763,
369,799,828,619,223,131,809,052,222,557,915,689,878,439,533,639,540,444,802,
189,533,683,225,212,465,493,222,711,259,342,982,708,629,607,532,407,534,700,
954,807,754,861,031,710,671,178,702,989,140,159,473,414,007,807,951,809,335,
558,737,607,303,350,039,837,213,053,239,199,303,086,576,103,732,753,949,880,
025,549,204,788,160,768,505,494,161,475,847,178,232,814,143,062,251,219,079,
598,643,433,739,360,277,327,464,684,239,981,143,542,004,266,454,025,900,058,
211,025,485,145,884,768,220,934,081,046,280,582,257,744,906,702,375,155,480,
452,634,929,589,475,335,853,627,346,511,777,037,813,642,904,231,833,256,319,
553,889,523,624,350,436,629,192,081,251,421,257,858,341,339,673,376,544,520,
369,480,037,918,069,605,722,444,291,013,987,109,315,874,800,920,622,018,273,
857,647,864,864,636,547,220,793,763,138,274,098,107,900,801,503,177,268,976,
205,588,888,403,333,037,529,539,748,218,814,182,331,090,111,503,323,389,721,
285,854,906,178,904,817,222,207,839,379,359,915,188,132,728,959,195,946,755,
314,047,453,458,950,325,486,872,184,548,372,814,355,584,959,000,388,307,634,
655,844,085,151,254,394,027,925,212,979,227,636,715,825,839,918,589,774,417,
271,532,592,866,879,570,027,955,930,210,388,212,533,207,682,146,807,862,311,
649,245,799,891,561,783,238,944,698,684,500,840,953,018,885,436,870,420,520,
884,544,758,530,229,474,500,478,443,150,666,605,533,531,630,220,756,794,569,
876,573,144,091,229,356,220,639,163,832,949,569,466,128,738,729,913,930,129,
687,381,116,827,109,505,750,416,141,766,502,763,399,430,002,088,569,517,521,
211,664,535,940,611,970,489,558,097,532,326,293,000,700,083,417,147,400,329,
565,640,809,212,250,620,543,011,299,251,154,565,431,876,365,760,526,857,106,
016,605,211,255,978,058,535,813,245,503,942,251,767,449,093,508,680,982,487,
209,794,892,690,219,610,073,136,733,492,553,525,478,750,708,017,973,571,825,
446,968,442,300,711,755,358,019,059,648,344,229,018,818,740,168,422,982,860,
601,486,604,046,707,437,165,939,499,728,910,586,677,636,375,217,675,485,192,
384,490,223,690,110,095,819,711,486,468,686,403,158,377,398,109,300,464,060,
339,284,178,350,184,647,836,576,795,428,584,474,696,004,110,846,370,387,190,
419,358,004,346,705,454,182,326,801,768,738,510,779,561,758,655,820,408,008,
133,823,621,320,016,816,487,162,461,611,366,196,379,566,329,534,559,983,570,
732,719,776,045,381,273,212,240,647,698,306,783,299,565,086,160,969,482,180,
409,872,980,119,079,201,913,385,367,759,394,781,008,213,348,018,674,068,860,
848,484,239,438,561,776,436,715,400,794,953,165,667,156,044,274,198,863,631,
355,132,536,194,177,240,295,873,354,671,597,543,217,956,000,360,875,043,382,
236,139,549,806,595,926,434,500,560,498,475,580,152,638,004,226,770,563,718,
434,549,309,905,218,798,193,895,946,459,468,019,105,462,254,816,049,150,355,
126,510,940,523,610,969,426,792,371,595,652,110,801,030,662,778,052,169,980,
233,764,941,209,359,970,113,022,274,755,182,710,444,032,294,340,375,799,122,
387,488,091,914,036,426,278,954,805,054,085,244,440,855,709,006,960,162,112,
228,272,250,408,961,565,571,865,969,057,808,914,717,346,503,742,464,078,631,
965,031,668,509,583,507,249,426,003,075,928,189,091,477,851,947,665,869,750,
973,020,877,511,086,401,927,397,502,928,759,434,135,226,772,759,612,824,065,
703,029,604,500,034,742,551,668,259,030,602,755,210,605,302,601,124,294,684,
521,647,950,472,586,468,104,331,558,747,273,341,457,630,764,136,562,134,694,
607,274,478,617,720,774,925,527,188,857,947,274,880,271,175,835,985,842,704,
536,110,654,424,987,783,392,665,360,807,113,028,074,075,261,171,096,642,680,
296,233,371,922,279,247,652,418,006,346,520,302,554,558,604,790,092,192,641,
905,392,180,690,132,096,596,713,929,171,540,631,375,750,677,553,214,889,553,
307,296,358,730,807,999,805,830,399,956,653,471,334,340,631,586,613,663,704,
565,572,925,888,467,603,915,468,293,212,852,182,542,412,255,401,861,328,895,
240,649,171,250,069,382,823,858,205,899,990,503,101,661,857,017,928,245,198,
231,893,070,640,924,230,519,579,235,633,575,673,155,459,034,725,228,574,528,
834,123,101,572,864,171,122,859,424,226,605,265,670,814,730,383,081,283,523,
201,609,797,922,667,822,267,161,575,540,776,204,079,873,674,322,406,062,764,
632,644,178,665,675,772,625,818,683,943,949,534,849,861,289,931,323,321,367,
259,097,785,762,137,757,484,578,402,024,212,447,962,560,434,889,418,182,984,
164,295,312,550,889,692,929,822,726,205,454,784,690,357,316,442,943,826,102,
455,664,123,486,182,847,256,057,685,597,800,477,418,052,247,854,032,645,361,
877,813,379,580,288,927,913,130,243,203,408,761,064,704,566,218,848,191,558,
101,554,712,842,522,087,568,148,341,069,090,396,145,894,880,115,421,055,756,
729,238,334,938,258,327,526,680,784,597,325,245,672,369,910,160,977,062,695,
229,049,560,538,307,849,602,220,055,997,388,505,339,230,517,721,311,846,349,
524,712,115,387,864,837,752,353,760,625,505,484,005,858,127,308,022,106,683,
710,670,004,462,892,477,328,309,983,187,055,188,192,127,842,611,592,153,231,
162,662,667,065,693,872,570,143,742,215,461,719,565,740,335,043,548,944,559,
948,272,237,775,076,127,309,836,976,989,689,702,974,059,287,048,348,033,955,
086,225,669,540,121,457,567,083,442,736,216,594,146,627,730,280,790,352,099,
539,962,378,271,753,182,215,054,034,566,214,125,505,842,886,481,192,566,353,
926,357,586,694,475,500,643,826,540,290,639,592,326,886,560,185,592,036,921,
319,168,363,908,247,887,310,269,437,925,236,915,112,083,434,340,960,810,371,
282,393,339,276,258,559,905,999,238,767,034,148,037,859,446,506,023,455,691,
347,305,315,861,519,571,898,293,095,161,561,319,714,462,967,722,526,429,743,
051,092,221,329,005,521,075,865,940,420,882,021,894,086,739,775,618,158,070,
334,224,121,857,059,924,307,962,775,353,250,567,613,572,843,512,879,160,732,
718,952,880,536,915,621,912,705,102,241,238,900,331,258,598,298,398,264,593,
311,548,993,730,864,907,715,746,798,955,102,942,359,330,855,082,151,081,554,
055,562,813,862,110,873,043,558,263,342,121,369,717,465,622,918,715,296,127,
188,908,503,559,758,875,713,389,110,453,447,798,242,888,679,943,493,450,848,
394,993,484,005,486,275,048,306,584,773,262,371,509,979,989,540,219,229,495,
642,923,326,405,175,861,680,906,181,682,963,192,820,798,812,263,590,658,795,
487,190,351,540,748,876,933,655,049,998,978,598,780,784,923,257,493,619,859,
348,059,901,844,425,943,080,570,743,175,285,356,887,993,379,988,617,932,219,
724,564,347,443,986,517,591,970,885,748,434,671,144,135,429,361,589,742,112,
987,821,495,902,895,857,603,379,500,102,726,253,026,455,880,735,226,986,111,
981,482,441,230,221,897,618,335,534,915,625,362,572,931,657,323,740,547,099,
483,992,683,619,887,776,608,285,933,541,557,832,984,488,142,294,808,899,890,
430,466,214,122,081,527,666,096,759,104,732,038,199,122,660,426,537,362,632,
083,374,732,460,446,679,501,682,017,795,669,011,183,206,696,936,986,566,131,
877,751,183,628,364,463,310,129,010,133,989,770,499,592,160,328,852,213,124,
828,432,107,896,399,928,221,653,330,381,600,272,457,260,613,795,648,978,468,
129,116,700,504,964,595,645,297,924,336,501,638,028,390,338,209,753,238,869,
731,888,236,323,185,563,599,954,659,902,047,293,937,973,021,127,502,448,037,
492,729,709,807,717,025,739,351,725,686,855,187,482,270,652,063,517,853,884,
043,495,541,591,138,163,062,187,272,129,783,795,110,678,026,982,914,885,463,
698,848,222,501,154,214,792,163,791,781,041,371,794,570,924,527,691,764,706,
125,893,411,455,376,067,301,717,163,073,333,794,835,449,010,855,671,426,684,
596,051,998,498,755,379,837,277,344,502,616,203,761,363,225,123,964,873,803,
916,732,042,592,530,970,676,810,253,007,379,708,982,435,802,301,326,998,998,
955,200,687,744,195,153,393,244,472,316,138,287,112,164,180,338,458,445,490,
426,023,445,484,093,910,948,215,615,527,718,524,661,495,970,187,213,313,528,
593,285,018,012,598,393,310,298,201,283,563,584,551,284,317,704,427,438,992,
953,824,954,218,432,932,979,951,998,083,332,976,295,891,485,664,755,138,458,
317,203,174,197,124,855,325,442,530,993,214,954,240,087,825,903,735,174,028,
075,766,299,083,778,513,045,988,556,048,423,056,972,790,898,216,608,285,253,
467,919,717,237,097,592,314,999,464,226,181,283,259,573,293,646,600,191,461,
574,054,684,361,309,144,905,217,376,824,316,270,508,488,769,193,851,811,243,
420,384,260,336,644,531,208,399,504,160,659,848,615,718,695,289,420,742,639,
629,315,872,878,065,433,031,250,886,641,285,023,787,026,678,788,756,047,911,
640,707,886,345,703,458,960,906,749,081,310,165,721,745,259,509,815,876,188,
590,516,638,090,200,685,603,016,605,631,708,834,388,944,651,800,802,441,390,
342,408,078,532,195,857,360,993,773,820,824,467,818,922,726,871,903,058,677,
302,107,915,920,838,601,260,241,873,416,087,514,056,400,863,801,520,808,014,
595,968,048,581,981,542,537,209,737,808,307,983,561,921,480,859,055,447,785,
141,032,778,533,637,787,752,102,320,565,770,687,307,164,141,850,848,338,448,
810,890,170,107,372,449,515,756,422,271,437,819,550,992,164,047,707,461,513,
479,174,165,635,618,735,357,153,586,504,977,158,764,315,174,807,756,675,013,
368,850,704,031,559,813,418,670,893,190,352,381,309,407,982,252,170,377,445,
706,333,460,358,273,899,754,512,234,032,070,084,790,040,349,438,862,438,578,
215,103,442,767,335,714,356,781,081,563,168,683,457,715,074,430,761,846,408,
647,971,189,473,034,881,434,390,016,303,220,318,272,833,347,090,501,955,126,
412,424,958,381,636,543,635,058,202,971,054,224,444,755,805,789,314,313,599,
581,228,888,856,373,564,438,367,064,484,476,758,181,975,526,812,946,774,870,
539,904,297,748,964,553,123,173,346,049,086,510,439,534,172,277,926,912,746,
074,431,897,299,762,042,876,636,621,193,459,173,752,385,954,234,418,185,520,
418,425,488,094,237,387,881,727,348,511,359,202,875,125,693,943,078,257,336,
532,094,991,850,261,387,968,511,367,497,117,035,027,451,308,257,975,626,192,
932,114,993,910,233,172,382,213,858,821,845,541,043,780,735,020,537,334,003,
848,627,780,448,400,290,526,313,772,743,197,306,927,603,356,969,794,625,838,
971,423,747,478,806,648,167,959,133,010,323,280,472,152,105,427,104,083,934,
449,153,991,472,864,851,609,689,213,252,029,097,994,101,978,094,403,883,857,
367,246,565,975,033,447,855,793,004,518,055,699,240,292,203,471,158,049,887,
084,769,649,800,062,240,686,953,560,923,346,054,730,935,174,689,840,955,434,
515,904,406,597,968,676,553,959,581,650,259,035,320,491,185,633,842,375,938,
615,166,710,238,701,338,612,007,553,188,139,884,891,874,146,805,896,249,006,
578,154,222,813,899,504,502,354,530,658,813,296,824,066,182,058,981,924,608,
927,726,490,335,216,879,857,915,325,110,491,865,703,694,083,803,791,963,266,
983,776,633,799,139,160,245,569,645,113,964,819,073,668,871,810,788,998,666,
150,069,131,746,085,947,159,755,290,182,949,663,398,906,848,211,793,650,401,
982,366,612,994,949,712,278,281,079,959,775,883,352,287,629,826,401,860,459,
900,562,187,195,516,204,802,370,696,805,022,593,337,156,846,983,738,783,879,
947,600,763,940,303,394,799,529,802,547,135,170,759,924,112,860,700,382,400,
807,509,463,596,718,626,892,182,870,407,602,621,876,305,680,567,959,763,653,
696,348,386,970,872,962,735,985,375,841,155,485,551,659,872,395,133,194,302,
211,457,589,789,469,282,474,796,568,846,143,755,291,660,637,051,351,028,631,
677,580,455,215,815,490,157,302,459,278,564,621,782,573,179,303,357,899,599,
875,751,865,655,748,895,730,687,845,516,868,229,160,570,320,057,955,407,723,
932,518,983,303,600,628,112,778,230,220,317,370,641,864,079,570,345,793,236,
159,867,580,639,999,897,403,841,805,400,001,400,273,353,864,203,340,641,521,
385,841,730,868,376,970,427,747,996,715,553,066,047,583,029,035,770,997,812,
150,485,004,943,141,503,087,090,047,015,772,229,329,887,182,229,976,445,681,
080,161,256,237,918,263,352,896,266,766,137,603,818,693,584,884,894,489,867,
800,359,939,295,549,340,296,778,568,393,964,072,724,354,757,356,574,887,273,
841,593,017,541,559,805,229,368,087,452,257,787,058,873,899,081,760,270,208,
854,750,607,015,746,968,150,440,996,712,295,953,698,836,486,388,464,366,617,
047,907,726,026,284,720,045,412,033,005,910,041,499,064,525,146,064,538,653,
591,811,426,545,475,458,237,323,869,439,577,337,328,745,896,549,598,866,860,
082,015,601,945,875,554,746,843,708,007,323,582,285,746,754,534,865,645,481,
213,185,186,187,704,886,798,481,976,693,686,624,495,743,050,983,050,161,082,
520,054,421,212,400,030,581,449,269,633,544,303,899,125,228,618,526,381,101,
949,954,679,729,402,826,032,790,470,096,710,954,416,354,372,677,417,001,916,
670,478,382,985,181,513,679,278,774,381,039,261,927,610,756,648,628,951,247,
730,787,292,899,124,853,126,585,516,441,371,281,623,326,074,137,114,642,748,
462,716,603,559,181,910,030,937,190,309,307,445,548,457,789,453,010,125,514,
634,140,237,744,684,987,978,960,531,964,184,292,671,130,540,317,856,275,301,
650,477,115,252,983,789,257,566,787,386,695,378,074,093,706,141,081,878,502,
913,338,147,890,914,945,091,552,387,342,132,409,546,915,196,321,737,661,538,
925,144,015,089,101,251,643,826,445,891,820,611,954,279,108,756,893,131,914,
211,840,795,775,375,200,642,139,432,779,685,050,250,259,204,335,091,059,113,
968,201,511,172,059,665,336,114,503,149,099,584,293,800,252,959,827,744,968,
302,787,857,179,251,259,466,422,119,533,133,001,699,580,681,679,131,951,995,
275,403,519,797,651,244,540,960,730,815,684,604,757,013,335,541,820,491,752,
596,771,268,157,278,186,699,899,064,670,489,473,053,556,123,309,252,319,936,
924,805,448,171,835,294,272,516,296,282,561,285,917,376,529,172,949,003,023,
357,106,412,667,758,669,662,726,884,447,283,513,476,162,256,312,490,658,626,
344,902,705,632,139,199,495,227,704,541,293,304,297,898,500,795,427,332,018,
571,856,100,981,032,494,192,990,777,158,645,546,167,771,475,642,882,923,133,
864,038,426,190,858,807,824,179,027,049,318,740,674,989,809,105,307,285,921,
873,235,454,726,532,659,004,257,206,376,058,219,135,821,612,950,803,967,228,
534,779,208,042,171,927,560,385,091,919,431,572,459,864,828,200,456,633,848,
378,101,390,686,115,409,900,248,029,462,127,260,047,454,028,498,073,852,866,
177,947,127,949,480,183,244,521,207,382,860,103,921,528,557,693,704,215,187,
420,293,980,883,568,942,635,545,226,568,468,975,730,070,947,392,333,984,405,
209,885,394,223,311,262,990,842,158,715,038,748,972,842,155,355,309,528,199,
416,316,813,152,989,073,637,479,627,734,211,680,714,549,481,168,515,556,518,
234,978,295,917,283,565,414,029,649,702,737,610,638,512,289,631,419,532,467,
141,334,268,858,478,080,806,934,443,050,957,721,360,628,432,341,565,591,773,
204,282,929,885,614,116,418,747,882,787,613,830,710,352,003,439,279,168,373,
365,619,244,082,234,576,489,548,041,427,866,291,173,093,202,294,780,445,553,
778,487,168,217,141,811,315,331,006,746,781,699,901,674,624,207,310,106,941,
070,622,377,406,632,451,273,949,107,627,115,924,256,673,294,867,372,724,870,
809,519,370,561,843,839,180,751,526,032,032,575,597,746,418,943,084,072,987,
967,374,525,813,221,782,809,417,067,920,874,822,616,302,278,309,467,920,541,
344,831,210,191,020,549,367,607,828,739,423,879,230,378,792,828,012,762,379,
922,798,354,158,070,726,044,189,989,092,250,364,953,795,784,417,382,846,011,
615,301,649,103,507,682,211,531,054,598,165,077,702,489,467,195,461,344,176,
830,147,744,303,464,669,831,405,288,214,366,538,203,515,909,064,785,449,033,
473,651,524,112,569,476,918,752,770,594,070,004,590,825,966,986,185,476,839,
579,781,478,114,886,499,130,260,217,001,981,192,839,155,182,400,080,365,698,
055,396,506,528,881,984,345,394,439,665,936,377,752,244,453,502,937,665,993,
610,444,933,166,945,855,684,287,148,272,563,087,157,047,606,492,097,223,919,
929,579,498,579,515,812,148,877,154,322,040,255,339,772,426,663,875,846,013,
529,011,379,369,016,312,456,489,964,765,388,731,403,879,301,173,314,790,469,
469,815,613,183,400,065,279,085,023,491,820,380,007,510,537,088,385,351,421,
464,415,870,987,973,629,179,156,973,274,101,938,090,471,204,112,318,700,899,
922,784,584,205,981,866,060,463,396,652,193,555,371,265,001,498,781,177,162,
371,305,305,286,084,900,768,225,999,207,215,855,204,545,399,078,197,562,561,
214,903,015,626,562,728,525,471,243,871,304,708,997,329,141,861,845,668,684,
193,744,437,824,460,373,893,087,518,111,378,231,220,032,769,641,718,597,320,
106,852,934,671,332,537,481,789,380,732,416,297,409,551,413,455,023,844,140,
943,535,000,079,767,539,720,899,741,049,821,364,897,354,658,053,371,579,628,
381,266,058,544,551,974,015,431,162,171,282,994,673,574,694,541,996,743,522,
461,259,883,102,007,489,882,439,342,092,506,405,240,630,821,635,511,131,274,
010,617,706,814,999,798,326,375,483,879,770,648,773,804,341,059,619,318,935,
740,510,270,538,006,086,461,649,672,333,793,849,647,693,629,060,446,053,927,
823,050,691,115,019,908,496,047,653,577,942,928,095,205,112,238,603,597,805,
552,334,058,707,834,277,072,805,456,983,865,895,613,522,565,156,824,294,140,
937,347,970,239,990,722,245,951,767,846,237,626,872,741,981,078,193,074,193,
076,071,074,786,598,810,358,896,786,546,696,274,120,815,764,431,863,007,727,
540,824,299,603,378,674,356,862,466,043,513,409,246,087,242,909,723,479,529,
196,995,296,401,823,520,970,630,497,757,868,265,875,675,483,440,247,470,429,
663,577,054,717,436,979,827,483,023,935,702,012,194,402,695,132,335,817,649,
400,019,216,755,529,249,700,374,604,783,510,143,015,354,256,862,821,073,556,
945,261,091,379,844,540,967,722,248,956,782,792,174,137,994,829,696,496,227,
051,661,269,731,652,380,793,968,295,417,682,646,064,054,124,844,156,977,644,
813,594,417,801,548,672,144,552,633,902,775,613,802,960,714,051,180,053,247,
907,867,147,343,811,512,352,258,515,891,942,932,185,132,628,183,099,636,889,
699,410,980,740,079,195,238,107,635,295,264,264,044,691,223,592,626,011,549,
775,490,278,386,638,108,357,822,891,226,471,281,690,515,918,689,335,153,314,
344,696,631,284,902,878,305,068,219,955,637,467,890,751,925,024,147,204,052,
232,119,241,835,339,694,828,274,690,987,594,372,441,101,181,419,179,886,137,
037,009,300,719,404,464,277,182,008,816,579,404,149,900,095,834,590,144,061,
972,537,713,693,162,874,024,502,347,521,252,757,478,658,445,853,246,287,335,
673,614,886,448,906,027,380,036,143,257,930,996,681,874,501,052,007,578,839,
196,902,117,504,695,555,386,151,347,150,830,497,182,128,265,352,253,090,571,
066,841,147,883,699,989,315,567,516,379,526,342,018,970,166,311,649,519,188,
724,900,402,360,299,501,588,868,040,094,336,447,465,694,032,076,454,163,852,
684,523,582,800,279,416,235,185,844,602,802,502,038,769,388,742,863,154,249,
823,629,937,656,908,939,462,784,150,418,095,250,835,373,476,775,407,868,062,
520,594,902,541,755,178,164,985,197,459,371,339,233,280,682,579,375,550,859,
313,706,534,493,835,477,122,037,185,339,211,879,649,972,858,480,741,931,962,
570,772,765,258,570,155,042,261,487,157,026,639,000,689,595,185,358,720,427,
996,038,483,428,066,715,149,075,707,000,933,016,287,385,003,336,399,554,362,
589,786,099,749,174,560,833,182,798,480,572,977,915,430,214,469,396,236,978,
026,574,061,403,931,265,642,939,408,827,607,396,536,627,928,895,582,880,761,
267,104,529,300,260,586,068,559,556,282,583,976,439,122,255,658,556,112,267,
464,349,328,139,045,967,347,316,359,889,328,140,166,458,826,396,768,053,967,
438,456,310,972,572,858,044,139,046,922,149,978,967,178,749,450,783,898,137,
491,868,629,733,063,405,250,471,197,044,467,747,054,489,914,357,963,971,297,
550,054,236,177,903,367,834,781,919,350,416,663,421,400,916,996,986,560,355,
026,140,472,591,844,427,356,162,483,665,693,634,172,632,107,956,484,607,700,
109,112,494,118,760,745,864,685,923,324,997,575,812,061,640,111,228,429,926,
417,819,628,647,190,488,043,000,410,202,169,980,338,037,984,405,727,889,275,
641,224,150,386,746,244,864,204,645,333,720,697,075,859,353,607,572,428,905,
375,840,490,105,161,913,190,743,961,308,922,474,570,811,470,826,817,547,704,
829,036,370,014,263,656,664,992,039,915,616,177,016,169,440,860,613,986,164,
790,686,919,568,288,677,029,974,882,079,774,881,806,226,098,992,407,160,795,
032,826,803,493,503,639,831,775,614,048,800,107,848,155,435,831,870,562,080,
872,502,133,298,693,662,510,932,550,273,648,450,251,146,979,029,136,710,204,
678,034,412,052,117,251,982,454,697,016,312,862,616,445,194,431,721,325,452,
305,110,272,901,788,390,879,141,425,660,286,733,209,783,089,251,308,255,563,
340,493,221,401,913,658,939,585,314,570,231,277,048,912,079,311,621,538,934,
465,752,007,136,758,643,273,153,380,338,869,972,893,851,358,745,590,696,606,
699,342,997,288,096,919,414,385,990,457,574,570,690,252,045,238,360,217,721,
128,625,904,197,264,172,064,347,618,097,999,844,613,975,857,242,268,772,820,
434,465,642,726,977,389,079,196,060,360,769,106,526,384,855,197,477,389,770,
639,808,062,756,309,679,290,771,419,686,358,670,135,365,368,563,002,929,620,
245,193,440,438,977,977,975,075,643,937,715,510,872,859,989,689,169,330,433,
154,315,805,861,730,580,042,114,402,127,880,037,067,314,044,414,541,866,707,
613,683,044,528,641,648,278,558,199,464,971,401,282,573,631,315,565,303,892,
604,231,254,786,223,331,424,791,423,090,886,887,544,928,857,714,506,249,682,
105,426,297,005,119,463,366,686,458,815,007,290,383,342,446,962,187,152,292,
587,517,143,880,835,689,918,327,376,605,736,729,871,237,592,945,933,518,404,
985,827,926,922,153,588,421,394,656,672,730,687,297,315,657,475,037,345,078,
352,355,099,513,063,072,270,879,480,486,224,045,549,144,149,483,752,019,406,
385,871,866,758,257,967,087,383,307,011,289,850,857,044,547,242,690,730,599,
004,404,349,628,578,289,565,919,269,802,369,832,467,526,823,903,829,880,500,
918,921,824,754,999,087,962,313,192,245,596,753,693,048,111,625,037,192,429,
425,902,500,887,913,204,711,910,996,122,987,541,034,260,780,988,305,142,383,
981,457,528,771,287,819,904,907,053,924,437,266,757,079,432,064,814,395,275,
737,085,380,765,628,621,100,054,830,911,584,213,016,932,083,527,608,352,348,
478,685,493,236,176,661,102,653,450,637,850,321,125,848,946,161,201,367,900,
071,477,810,924,004,219,264,038,270,930,661,790,041,186,479,765,140,268,642,
215,770,042,650,040,499,474,461,975,621,429,057,212,081,713,514,945,908,659,
969,564,151,259,696,403,289,761,902,872,381,603,129,732,243,622,557,622,847,
472,654,292,320,196,385,975,925,038,237,118,094,203,214,296,126,630,850,310,
460,539,885,691,228,121,091,272,414,169,975,797,854,022,081,606,875,828,523,
233,043,967,929,747,871,330,694,740,537,818,866,216,659,259,910,505,552,258,
700,417,130,602,127,289,216,771,369,056,759,593,018,814,428,356,177,676,976,
237,632,989,840,145,434,851,160,073,821,675,737,218,617,825,289,856,233,901,
350,631,509,765,817,562,630,259,660,883,016,621,686,127,378,628,770,456,450,
250,369,434,841,769,094,450,006,069,767,134,241,269,145,363,477,506,330,471,
570,319,544,718,448,795,652,778,747,700,519,199,309,894,711,243,603,027,608,
196,232,702,173,273,884,291,607,005,492,662,220,653,157,752,603,399,193,508,
123,545,368,615,489,279,801,185,514,799,535,986,416,522,892,109,128,534,554,
577,207,046,482,561,018,852,748,556,298,292,255,082,043,632,588,237,291,904,
527,321,157,240,461,003,098,274,426,167,939,168,550,050,192,318,744,868,411,
941,445,241,930,445,645,370,811,104,910,474,264,770,423,251,166,554,335,793,
463,056,809,574,118,279,636,826,396,797,395,998,796,897,461,611,841,538,110,
269,496,620,353,664,591,100,880,214,807,984,837,028,186,292,052,877,775,092,
642,929,710,525,671,857,350,069,581,282,833,114,947,211,483,334,617,339,339,
373,971,867,708,272,658,920,215,194,505,723,974,637,903,840,794,369,317,490,
964,954,109,108,229,080,912,878,926,508,512,661,229,840,109,918,492,399,323,
020,190,590,821,692,394,555,019,715,669,724,057,198,681,758,316,663,681,607,
393,720,189,748,308,216,693,980,430,906,388,940,388,726,118,238,468,513,450,
996,517,615,340,215,273,323,296,978,503,627,799,980,805,631,266,460,745,813,
664,135,797,233,476,471,024,521,577,500,557,712,804,078,358,907,495,028,271,
317,143,012,438,383,520,983,984,452,461,950,814,078,317,256,899,780,676,811,
257,621,599,056,667,313,826,029,788,332,835,692,253,507,811,293,158,077,463,
570,311,576,822,918,310,308,855,722,122,174,315,208,007,423,915,034,886,633,
487,447,992,641,703,065,362,124,858,762,187,818,130,700,628,510,128,343,852,
751,774,645,738,756,194,463,273,864,825,260,778,005,304,185,079,879,600,916,
165,029,622,378,918,253,945,827,662,324,272,581,179,501,041,679,192,904,691,
445,635,336,613,832,361,481,144,559,667,255,536,855,632,190,004,528,665,080,
856,384,612,649,252,645,536,757,977,950,246,421,520,858,063,197,321,025,392,
582,914,287,932,243,563,305,988,520,734,391,381,207,782,115,636,176,016,123,
644,117,654,819,589,712,911,669,738,422,445,088,927,600,701,377,959,764,972,
033,522,320,979,494,531,295,219,375,297,138,755,863,978,616,744,581,593,875,
491,604,877,838,889,145,008,024,247,772,655,405,545,994,657,931,516,749,911,
871,294,891,549,218,732,979,118,369,466,036,004,497,072,839,152,664,651,371,
092,736,837,436,990,614,955,620,152,662,342,412,264,455,692,551,263,998,348,
679,801,487,926,257,386,854,124,023,879,270,970,134,032,062,373,959,637,198,
076,268,610,694,449,396,745,564,234,054,236,006,398,349,226,697,607,709,221,
105,143,037,289,142,469,759,356,900,289,033,692,498,219,906,952,954,634,732,
410,893,709,057,656,887,246,660,187,542,744,545,935,333,992,773,125,766,851,
960,768,023,284,069,988,603,805,917,412,715,929,527,610,640,097,633,022,960,
910,384,262,902,743,051,158,395,427,559,396,472,465,231,863,950,750,601,692,
517,139,167,161,931,257,012,691,531,852,197,797,954,842,399,506,302,524,569,
436,392,615,862,962,296,695,928,180,292,496,428,649,792,618,714,255,074,636,
267,863,538,310,158,064,620,252,581,514,107,121,794,075,045,154,225,366,294,
781,182,684,139,105,517,074,893,662,535,223,807,620,478,826,064,669,597,209,
990,568,490,987,893,399,555,660,379,700,772,462,122,682,331,418,261,236,474,
564,912,369,051,857,932,692,325,274,146,552,528,823,724,931,202,257,279,654,
052,132,354,110,595,270,530,977,201,481,800,208,458,617,931,363,030,846,629,
779,322,994,676,378,151,466,744,106,250,370,389,078,405,943,762,532,929,038,
066,144,980,973,885,161,988,098,043,964,919,743,935,052,527,321,732,980,900,
996,019,437,250,937,276,785,901,354,669,579,516,968,554,933,010,675,671,104,
792,776,829,065,858,026,182,208,516,922,848,254,912,642,511,424,320,082,473,
474,674,385,363,525,977,463,013,645,877,783,505,355,141,175,465,139,489,010,
654,639,004,468,117,069,245,035,606,850,842,636,048,494,211,986,350,816,767,
156,787,252,549,895,416,593,284,148,201,191,799,944,446,293,675,716,686,884,
863,978,824,998,964,335,773,245,993,671,058,801,243,169,100,762,216,030,921,
091,251,490,058,380,762,894,546,003,724,703,090,486,668,304,369,372,433,726,
436,329,032,928,062,583,693,551,260,268,890,334,451,640,259,931,733,193,085,
127,412,412,186,290,178,886,200,619,779,549,726,795,138,433,781,208,215,685,
621,806,034,061,790,849,371,187,255,425,905,020,330,891,803,415,503,730,759,
172,502,322,424,196,483,648,414,760,582,868,161,399,634,451,032,237,298,643,
949,393,096,141,941,484,562,985,808,756,214,645,251,466,107,232,267,975,761,
544,084,455,725,999,190,726,533,071,800,554,802,563,173,171,041,483,869,107,
170,648,037,311,265,839,352,462,776,861,827,394,913,450,278,492,980,862,708,
950,602,429,887,551,547,116,979,441,214,291,518,875,289,357,731,055,811,042,
052,988,408,586,979,667,520,066,864,317,969,803,127,330,501,092,672,142,014,
228,201,505,494,061,020,653,961,139,828,487,979,179,509,261,212,437,987,113,
596,414,973,236,528,465,322,484,748,157,034,672,762,819,626,727,306,530,858,
282,024,219,716,806,288,729,873,763,182,207,629,941,742,352,562,575,683,625,
817,009,665,760,556,954,263,428,571,897,337,843,371,288,579,707,917,958,522,
187,280,870,096,501,629,520,169,342,247,325,447,829,916,382,396,325,079,343,
131,215,146,229,799,668,054,757,010,544,157,820,845,937,878,462,099,142,530,
743,360,319,923,614,835,619,992,694,709,006,315,917,708,034,256,902,206,215,
978,566,110,847,265,523,760,593,404,202,093,648,041,908,345,011,774,851,062,
633,733,217,530,730,926,827,826,489,991,388,257,642,635,431,710,276,271,543,
790,001,403,897,951,953,458,070,298,421,302,706,505,620,391,045,540,078,457,
883,573,970,921,958,924,917,850,921,597,184,266,441,128,911,146,202,840,357,
745,706,145,781,441,948,897,610,784,846,126,036,167,286,575,645,753,625,757,
176,164,274,948,980,311,015,435,236,655,061,842,675,511,641,413,349,001,169,
984,961,924,544,093,136,566,526,359,381,479,215,802,309,323,573,611,997,258,
430,845,177,487,862,425,301,991,005,366,108,556,244,744,856,890,023,216,202,
232,400,547,653,358,561,011,686,822,403,632,190,404,470,244,472,276,645,885,
740,685,420,132,949,104,089,847,968,800,287,355,835,430,124,718,338,329,746,
424,423,503,865,077,479,662,269,755,295,977,067,722,192,290,379,890,419,925,
128,339,432,693,032,708,435,918,552,427,440,611,871,474,985,681,084,628,997,
717,804,576,145,070,389,914,259,965,805,272,354,246,534,937,354,025,282,624,
288,031,744,330,851,457,973,512,153,689,485,160,682,938,909,635,654,451,983,
256,270,242,463,688,451,328,118,170,993,443,607,183,848,401,486,062,913,863,
232,259,144,460,209,403,245,734,930,637,731,843,282,573,968,651,845,555,251,
332,444,426,636,526,706,655,610,861,576,173,233,199,403,080,271,324,468,004,
729,521,102,650,631,928,340,371,334,577,223,372,338,876,644,143,738,444,782,
202,505,385,984,172,088,105,530,092,099,927,114,581,945,064,680,378,188,466,
319,782,239,945,848,977,586,141,174,677,940,111,200,964,887,273,069,864,753,
304,476,735,906,481,607,233,434,483,881,273,406,906,797,120,568,000,436,436,
329,511,297,121,180,517,724,867,058,641,957,410,411,189,885,152,064,801,045,
038,633,642,918,873,914,797,172,259,997,183,253,861,766,720,477,051,854,622,
770,084,304,197,326,309,372,793,002,541,313,430,953,621,787,086,984,452,040,
231,798,235,228,492,326,123,101,192,459,009,730,312,711,282,562,946,701,674,
901,563,901,732,018,368,398,045,286,950,802,974,600,307,984,571,756,631,548,
646,993,515,287,023,725,488,497,127,590,588,725,960,131,650,029,576,341,677,
833,681,891,787,592,637,023,211,753,070,600,053,644,614,770,318,094,651,948,
570,998,315,557,833,719,287,079,886,759,139,993,924,974,018,115,331,106,370,
113,781,548,291,215,361,889,949,509,368,758,792,977,862,108,352,259,741,755,
256,088,905,561,520,798,726,045,216,058,869,012,279,343,994,398,918,516,085,
549,429,111,827,685,371,933,639,542,477,528,176,738,461,451,108,135,083,032,
790,784,825,003,562,792,700,394,712,711,132,742,226,611,693,403,886,330,959,
920,534,859,150,934,999,104,778,507,068,873,206,987,102,595,153,484,679,061,
363,247,532,019,755,496,491,088,826,816,342,085,397,492,727,302,090,328,321,
601,400,118,042,800,077,846,146,179,236,297,063,487,315,812,595,877,723,531,
967,132,553,946,113,061,092,147,863,149,573,273,863,480,039,897,847,914,012,
582,902,293,779,259,966,834,658,003,959,843,569,300,765,819,653,370,992,871,
089,993,867,824,766,922,585,603,339,952,814,046,873,708,530,977,492,251,618,
110,191,838,920,394,346,921,086,513,721,083,262,674,845,532,463,131,505,996,
013,096,426,725,379,006,633,525,176,079,139,652,498,836,500,153,626,556,451,
964,299,149,216,300,639,853,488,098,060,523,234,445,988,597,470,184,660,663,
795,009,848,450,341,058,203,340,946,723,394,269,722,433,978,260,799,393,883,
159,010,004,566,119,794,172,039,945,264,529,687,875,619,023,350,807,755,383,
764,056,633,558,533,578,380,126,548,193,752,023,703,922,745,423,766,931,281,
378,809,708,870,119,988,713,177,009,857,157,315,030,033,268,875,382,031,790,
168,740,233,916,420,836,678,509,345,216,173,515,149,894,228,725,712,338,152,
450,939,942,843,006,636,617,077,622,499,430,001,671,409,735,060,369,597,876,
341,472,295,374,633,796,308,251,340,003,771,978,150,684,448,706,155,968,870,
816,718,308,778,547,484,404,471,770,764,709,250,928,667,305,446,230,126,938,
281,923,124,822,561,853,362,160,348,244,307,400,255,861,245,197,719,680,168,
159,760,926,319,372,001,626,761,719,019,903,260,006,119,213,945,583,129,350,
240,837,243,045,292,176,251,180,145,285,560,841,609,479,035,515,711,634,738,
213,063,840,880,934,670,782,260,702,224,643,505,971,626,523,736,137,846,574,
227,642,649,224,816,064,195,777,854,381,865,771,102,523,302,330,960,076,342,
691,573,949,583,189,258,999,226,891,407,765,886,953,601,869,251,436,164,320,
098,068,182,024,335,627,410,937,294,089,927,072,109,380,971,205,857,406,360,
080,491,423,169,285,042,230,961,308,040,869,469,392,402,357,801,610,074,561,
452,290,248,593,658,233,489,127,810,013,142,350,122,600,057,655,498,587,332,
883,021,582,407,883,280,845,502,658,503,381,842,735,964,481,189,366,324,709,
564,439,332,050,679,785,968,687,642,374,577,300,470,189,261,367,576,287,041,
640,379,018,458,046,962,208,370,712,125,402,584,833,438,758,989,854,679,139,
554,980,405,689,032,238,591,024,821,933,826,029,827,587,513,316,780,773,801,
290,153,833,197,017,624,088,882,178,797,019,761,102,251,622,219,359,772,346,
422,885,852,671,283,564,583,445,691,210,318,785,150,005,223,066,409,510,029,
396,209,557,421,861,368,285,956,947,612,522,285,942,655,993,196,358,990,690,
306,891,333,233,011,463,835,147,732,400,219,866,429,076,324,716,292,289,366,
048,531,104,601,567,570,067,344,954,452,050,666,178,598,483,344,939,449,814,
348,427,466,150,479,752,331,533,720,374,544,445,317,381,013,123,889,477,628,
035,528,687,828,302,474,496,604,133,243,812,894,327,252,628,140,653,686,443,
519,247,687,491,409,431,653,572,692,624,437,668,978,514,301,194,849,410,079,
382,116,501,488,130,432,504,754,881,325,910,570,818,296,259,574,928,937,650,
940,697,317,819,602,084,860,288,580,775,860,386,556,394,137,889,390,563,448,
580,142,902,750,256,670,157,466,849,845,246,704,572,174,823,792,914,672,472,
125,193,213,970,601,759,043,077,216,076,018,014,884,982,686,921,510,618,875,
431,082,781,622,695,308,246,696,357,928,459,931,563,793,770,912,993,346,727,
049,240,180,054,895,097,503,318,457,850,174,358,553,535,345,734,908,637,354,
002,497,121,301,820,831,530,929,249,859,349,864,982,759,834,586,212,814,429,
928,892,738,237,408,589,535,204,061,244,837,403,767,554,435,092,578,694,325,
215,539,733,676,887,321,168,721,569,107,831,178,857,701,579,383,728,727,602,
709,729,428,285,539,888,216,735,018,395,891,519,436,857,327,503,061,470,778,
084,456,358,209,977,798,020,591,144,672,836,929,397,015,515,449,059,330,186,
351,930,141,851,757,247,085,864,655,945,463,468,849,805,020,066,602,598,192,
986,559,326,373,909,521,963,855,635,272,528,359,601,838,270,066,291,631,341,
688,548,685,236,097,503,710,735,292,694,833,742,876,832,549,340,429,603,420,
276,147,579,120,554,004,823,187,168,534,381,214,747,198,375,471,328,002,349,
794,414,282,801,042,225,884,261,209,672,910,894,576,966,965,524,993,093,738,
822,008,460,032,387,311,137,731,329,048,797,741,130,133,471,080,908,105,583,
241,448,672,541,027,769,986,712,742,169,105,679,321,382,916,584,126,981,900,
375,761,494,799,280,160,762,163,195,972,457,959,280,784,283,176,615,257,121,
358,732,182,061,645,303,512,426,933,399,764,856,970,705,010,827,590,927,586,
195,982,324,166,981,049,528,472,782,911,353,131,660,250,831,757,489,962,094,
688,937,934,476,679,656,888,574,644,276,955,136,142,242,631,822,753,346,670,
724,255,638,385,060,542,056,911,690,928,224,844,670,299,688,368,749,257,658,
521,639,087,018,980,172,429,866,294,319,287,865,410,876,061,431,506,549,632,
982,187,787,294,890,551,093,145,437,720,320,386,080,686,580,088,090,619,273,
774,740,558,365,104,507,589,906,578,042,088,844,500,798,451,913,814,202,174,
628,821,222,789,751,505,988,538,399,139,136,478,477,524,196,395,615,785,797,
483,406,109,320,735,232,387,810,416,779,442,555,055,992,083,052,173,635,071,
573,463,966,316,349,772,078,216,618,419,234,359,537,024,960,155,173,413,274,
718,793,892,605,775,596,147,265,351,309,446,955,028,378,645,248,907,497,126,
158,676,329,465,299,037,958,009,572,670,808,228,099,140,613,592,912,540,018,
477,149,868,830,717,529,069,124,409,904,129,956,838,451,827,254,447,580,920,
365,776,504,735,676,040,017,220,129,864,074,921,598,032,067,181,244,943,587,
074,273,597,496,681,367,729,809,299,067,908,262,698,189,697,452,292,970,995,
737,988,176,778,757,454,605,035,198,357,305,034,321,655,554,562,767,593,586,
316,614,368,061,655,385,397,373,511,998,022,583,527,335,980,414,125,730,850,
815,181,492,881,349,401,038,377,490,262,486,016,456,927,385,915,934,635,936,
967,374,504,995,524,234,356,471,045,607,444,224,061,542,405,228,796,189,109,
643,787,195,554,076,370,857,070,301,473,380,563,855,945,913,192,583,750,089,
871,592,063,142,345,860,040,871,836,388,328,883,737,948,828,287,969,172,551,
011,613,369,079,410,435,297,492,107,452,740,829,062,888,685,528,807,031,491,
441,989,245,451,806,389,733,907,067,704,719,481,854,467,756,490,671,358,714,
974,796,317,818,018,353,055,753,878,214,559,944,635,582,307,730,747,551,123,
688,120,714,715,214,574,928,694,122,699,692,076,817,457,378,567,219,099,078,
381,841,298,812,985,142,883,068,330,887,202,221,799,343,016,563,289,932,528,
586,356,382,711,211,319,092,345,552,354,895,733,245,676,106,965,551,090,896,
529,922,575,172,659,418,048,754,787,631,346,151,410,249,842,355,191,525,633,
499,904,662,832,526,820,474,425,447,228,968,255,525,400,640,503,551,902,836,
109,681,644,460,370,952,359,913,504,486,965,476,701,714,651,524,808,231,103,
936,320,246,150,345,609,295,141,779,663,458,685,012,775,929,834,268,296,267,
936,531,625,473,174,542,370,417,725,607,837,853,836,622,832,938,583,079,536,
012,796,329,022,424,328,074,882,974,850,647,403,563,136,838,336,927,020,421,
553,910,254,070,766,510,250,495,309,099,630,077,592,382,784,896,128,510,894,
397,932,022,050,822,898,157,671,661,492,302,526,593,819,681,713,433,654,471,
914,117,271,068,908,350,268,411,179,527,561,184,719,417,278,964,588,066,301,
704,284,363,669,606,471,526,492,707,595,968,599,473,275,467,700,393,247,894,
935,044,154,262,202,070,608,790,174,108,992,806,430,386,837,551,165,556,013,
869,568,816,330,451,588,117,584,947,503,400,844,657,653,633,146,961,009,046,
433,915,968,086,006,387,942,484,527,034,049,920,808,386,524,016,623,894,066,
849,272,777,116,905,148,109,365,935,008,997,780,521,463,934,899,802,742,569,
376,727,298,516,470,730,892,466,561,671,023,542,118,383,978,052,286,907,838,
585,562,682,467,113,344,151,007,984,494,642,349,471,896,832,492,420,408,107,
297,644,699,646,750,524,216,112,887,942,517,690,032,073,736,489,118,989,718,
163,165,422,470,801,831,819,069,457,077,939,603,120,865,112,598,372,731,910,
408,210,892,242,816,876,062,867,409,921,604,766,020,812,771,475,804,396,097,
249,193,387,040,426,339,622,666,971,858,816,403,098,237,450,854,217,673,884,
522,208,717,631,928,800,238,471,377,034,663,084,990,446,768,166,854,782,958,
933,728,900,690,519,089,768,346,419,089,292,767,563,971,039,904,274,070,510,
853,072,514,044,077,222,292,095,813,051,524,376,795,310,143,826,738,579,111,
435,996,719,830,633,972,726,518,572,542,640,502,059,914,530,020,472,110,426,
311,808,884,680,008,889,714,847,716,195,129,311,340,727,989,049,783,244,504,
157,484,312,957,842,760,068,903,151,436,870,400,193,599,117,711,815,345,722,
557,803,724,352,071,098,775,094,380,346,612,053,164,697,778,665,538,229,636,
593,358,232,946,019,595,167,287,285,389,250,106,990,874,528,419,993,377,212,
950,475,641,006,226,142,277,804,620,224,516,038,214,606,928,937,514,529,993,
050,838,502,601,813,410,447,375,910,387,545,686,983,380,798,527,810,361,372,
863,673,074,302,033,616,975,270,077,545,519,376,431,919,548,518,865,837,305,
713,833,620,252,198,987,854,482,340,527,201,519,007,211,899,493,408,077,245,
868,840,471,060,454,957,116,888,226,210,766,479,790,131,123,531,765,044,925,
345,014,981,076,876,670,363,156,088,824,551,717,631,295,358,732,921,678,086,
943,224,988,920,547,415,806,184,131,426,350,084,402,593,903,470,043,019,609,
188,321,211,507,959,669,064,412,239,493,294,691,368,898,470,103,711,141,477,
609,614,251,191,879,720,995,254,858,696,389,442,155,518,627,389,588,701,946,
030,786,663,992,539,939,107,635,159,694,748,979,930,385,906,620,334,505,299,
594,166,423,421,405,540,185,398,967,154,315,406,284,041,909,930,187,034,693,
718,804,971,314,628,810,524,381,374,323,651,018,380,136,319,740,488,472,399,
932,442,322,210,722,551,346,366,289,534,455,637,959,998,870,889,834,082,106,
555,011,892,452,366,421,995,695,169,844,610,426,484,784,171,899,719,059,172,
886,845,362,171,327,682,836,175,268,764,127,032,471,046,880,552,018,969,924,
634,441,301,739,614,661,993,981,126,263,855,265,678,683,643,071,523,029,357,
622,053,156,090,023,609,931,717,806,494,169,350,117,793,213,841,868,359,865,
664,314,172,455,303,848,446,296,730,151,833,798,814,907,052,077,052,715,653,
663,334,116,324,305,031,129,046,060,747,753,714,483,437,911,801,154,309,182,
615,044,235,858,611,565,982,362,520,865,457,697,756,180,919,159,146,084,744,
332,721,106,540,499,393,885,600,023,178,507,233,568,987,505,058,962,657,746,
577,999,159,485,274,923,855,315,695,410,306,223,654,203,361,014,341,242,281,
500,259,931,787,196,046,860,903,080,743,285,546,133,391,540,283,650,210,869,
090,231,321,350,981,780,493,786,396,607,446,783,160,655,057,622,232,725,940,
533,969,442,892,179,824,526,670,285,203,802,928,602,661,887,155,535,740,576,
866,545,228,291,028,537,730,006,657,182,907,949,463,582,266,245,399,642,123,
936,391,231,415,363,158,268,640,911,972,154,510,969,468,002,408,601,976,308,
000,006,631,263,837,047,401,905,013,838,400,981,931,688,937,042,044,277,030,
839,815,007,494,361,433,539,292,681,306,982,800,847,399,420,641,183,157,949,
405,292,670,111,556,416,030,562,684,530,882,623,296,190,682,033,307,816,527,
615,737,675,065,851,965,111,656,028,775,917,844,361,500,443,009,139,311,295,
309,018,261,185,690,956,119,885,313,416,753,646,606,029,657,459,445,876,441,
618,219,608,002,775,525,836,993,319,785,761,577,121,856,960,222,082,982,116,
611,133,004,927,318,360,614,700,900,363,642,186,380,810,579,278,608,088,045,
629,652,804,939,003,913,640,638,674,149,497,284,132,424,647,121,713,432,551,
895,782,076,393,641,081,983,106,442,982,899,983,980,473,324,082,872,721,215,
089,302,237,749,049,790,609,553,490,295,115,069,786,189,345,053,019,590,331,
379,368,057,936,153,404,270,482,985,871,020,246,133,260,951,802,162,177,939,
008,894,659,824,444,290,068,338,848,754,470,698,392,289,007,374,207,215,686,
495,423,822,479,514,531,011,780,957,452,325,292,358,670,349,642,978,994,944,
872,247,639,390,809,908,929,399,660,645,929,735,732,257,939,766,082,478,663,
392,177,548,963,002,087,718,981,417,408,605,320,909,744,792,680,409,391,482,
051,178,471,283,951,788,050,795,769,986,864,377,660,023,012,306,143,257,764,
265,976,265,304,690,454,064,172,159,348,986,908,841,947,547,195,432,759,217,
969,247,218,107,955,137,806,361,537,758,288,706,323,129,225,560,869,996,091,
860,300,456,008,935,478,979,440,521,907,793,249,016,447,801,926,714,139,029,
514,454,623,915,358,510,512,355,245,785,098,568,564,430,288,144,897,214,541,
308,161,170,363,980,879,557,275,355,220,767,394,442,744,450,670,438,063,792,
494,209,082,145,419,426,347,266,316,216,977,653,638,183,870,478,661,020,042,
882,480,148,941,369,003,354,538,418,467,569,010,087,222,113,950,435,260,166,
078,156,028,454,464,499,812,172,126,264,333,394,746,002,631,668,576,333,846,
450,598,881,319,395,317,632,389,991,882,377,613,801,420,841,302,144,508,997,
452,946,692,817,867,836,665,114,866,887,811,804,548,845,993,301,047,317,936,
211,303,150,976,055,108,815,289,538,281,482,581,110,192,253,785,314,669,357,
118,842,338,679,635,727,969,343,111,061,471,641,194,186,542,688,396,371,547,
037,277,251,361,144,447,559,669,387,877,505,991,545,128,265,200,619,905,045,
339,201,402,651,011,923,255,711,597,429,426,455,746,420,882,326,668,695,803,
990,527,097,278,840,794,808,328,955,602,063,964,146,340,323,046,407,494,725,
885,512,185,831,437,338,440,751,263,375,203,823,009,453,896,421,082,924,223,
601,903,510,519,919,107,831,834,894,535,510,532,535,231,062,369,536,534,125,
193,700,350,153,944,507,313,567,373,513,647,495,187,540,565,227,654,867,777,
237,874,287,329,705,049,331,568,241,767,944,494,931,033,927,960,642,790,227,
726,238,734,102,661,682,141,259,070,121,580,239,576,096,788,796,085,587,569,
107,378,368,928,811,656,347,874,303,718,840,818,496,812,838,407,497,970,638,
749,878,140,832,411,571,449,950,327,243,846,398,719,706,775,752,101,285,078,
687,146,608,664,592,023,840,024,409,417,859,147,409,326,137,991,072,909,119,
996,613,968,421,637,766,785,023,615,919,707,740,146,805,843,314,840,680,464,
671,889,464,652,737,408,919,581,886,693,137,462,844,729,387,589,214,886,557,
431,244,594,682,881,542,753,251,527,191,318,122,037,844,959,753,041,210,007,
550,731,259,608,240,137,951,403,203,975,943,745,410,960,679,815,550,723,958,
473,136,308,282,602,965,216,283,478,814,630,408,591,641,010,683,476,009,243,
230,726,249,606,736,362,492,815,859,405,877,943,619,742,756,319,767,548,889,
643,379,144,270,438,957,614,219,297,425,728,823,209,208,341,399,293,261,211,
513,064,256,274,605,594,234,353,361,695,409,644,752,030,743,078,143,603,094,
983,369,770,167,886,114,603,678,237,945,037,399,609,344,618,025,481,176,088,
472,007,506,288,446,333,021,749,882,127,296,880,329,020,707,431,851,380,568,
140,480,674,399,836,898,673,063,764,148,738,549,121,600,974,910,043,581,038,
298,357,960,258,359,194,094,966,383,762,883,838,171,924,227,226,745,013,669,
918,362,859,814,836,351,662,781,030,132,814,814,483,361,195,475,218,923,480,
505,301,876,042,612,023,687,681,021,408,004,645,131,034,621,890,153,515,262,
362,031,291,400,526,438,253,389,690,825,140,805,867,403,505,184,429,773,075,
164,167,986,952,874,867,728,658,193,870,215,853,308,257,228,158,367,845,906,
311,468,247,785,371,570,885,852,815,864,966,374,344,831,274,524,168,192,466,
889,219,824,801,291,407,120,247,578,199,240,504,752,356,051,892,092,943,888,
935,804,035,427,773,291,283,774,221,936,860,282,254,355,287,768,187,214,509,
056,728,519,753,538,505,913,761,226,556,429,844,163,247,813,896,618,694,807,
025,991,284,425,976,191,122,541,933,927,226,373,708,499,605,102,348,846,181,
639,645,711,780,936,211,664,665,746,979,453,472,873,943,123,900,838,250,012,
797,649,119,158,997,212,847,881,215,557,317,366,828,847,050,486,115,327,844,
428,199,852,363,940,854,820,706,541,906,581,210,140,872,717,535,909,152,806,
486,502,819,281,293,619,799,271,002,971,292,012,475,403,565,560,401,825,075,
308,140,901,013,062,613,288,260,188,585,232,033,052,764,608,254,784,507,880,
614,653,529,616,546,882,578,769,788,495,211,810,531,896,509,181,734,952,780,
867,897,552,083,647,096,326,733,537,946,738,998,824,603,231,938,667,189,400,
184,160,670,761,331,241,946,284,082,916,425,166,295,558,027,781,823,429,916,
941,959,430,410,310,555,587,268,108,128,551,546,342,765,174,680,021,638,797,
065,610,271,164,087,216,879,972,093,840,979,060,735,458,732,973,331,292,581,
390,307,062,497,882,141,885,221,781,114,831,518,049,477,919,398,414,988,513,
071,393,377,634,115,753,355,148,658,512,190,094,178,890,338,180,441,709,380,
067,630,159,564,826,042,620,976,695,700,239,634,516,316,004,207,715,983,446,
074,733,135,553,016,183,696,206,091,159,978,079,215,278,959,690,268,118,018,
614,271,878,495,861,560,143,003,789,705,114,240,624,201,347,700,604,996,979,
434,171,240,913,330,270,463,779,307,132,605,972,022,313,386,595,284,221,435,
867,444,273,634,256,195,201,063,520,617,841,284,968,903,150,098,348,445,880,
721,397,835,335,234,406,300,090,903,332,660,801,882,152,104,815,734,251,925,
684,569,576,942,066,260,031,693,648,106,389,612,557,338,087,419,886,672,198,
910,236,449,514,353,040,430,522,182,669,934,998,490,490,106,900,890,723,374,
692,281,291,328,996,763,263,994,178,786,591,263,992,070,228,810,731,426,878,
482,769,778,252,986,842,387,322,617,277,210,116,120,268,563,972,812,541,429,
440,743,586,498,823,920,479,319,874,219,460,724,892,843,862,718,363,498,279,
803,566,431,069,083,058,475,435,257,279,313,015,007,141,819,532,140,816,879,
514,268,729,333,758,730,442,725,907,897,991,064,187,697,462,838,549,625,528,
336,568,712,740,365,342,402,760,662,320,273,814,550,330,794,971,686,262,758,
407,038,065,974,319,792,848,932,839,054,976,742,294,665,206,066,508,688,629,
489,720,333,371,119,113,042,948,502,237,785,972,994,570,883,582,175,419,490,
594,180,624,767,770,449,461,169,115,361,245,924,893,976,961,857,801,005,596,
193,446,891,615,025,361,132,705,632,434,325,466,831,663,908,538,239,921,102,
109,251,281,566,295,731,105,872,694,197,450,307,358,636,504,566,066,731,616,
069,748,109,088,534,045,145,487,133,928,439,049,199,619,251,769,347,580,460,
326,836,104,220,133,942,302,752,538,920,122,024,723,351,892,876,855,421,562,
688,758,941,608,169,384,928,389,619,993,741,168,648,450,878,251,102,832,546,
058,718,815,463,656,549,170,901,280,519,273,812,983,369,101,568,941,573,971,
860,872,383,075,353,378,480,283,498,222,799,973,570,704,352,323,993,299,688,
148,251,897,818,110,465,130,749,255,042,989,348,948,966,562,732,120,591,979,
329,464,629,634,967,999,761,852,951,772,914,123,080,355,060,838,225,584,778,
580,199,600,338,950,937,812,519,440,140,872,380,033,487,983,805,649,949,621,
702,334,457,308,094,958,097,735,613,382,886,427,906,496,332,976,242,535,587,
271,724,216,402,475,529,497,495,022,889,369,154,616,831,154,468,425,282,991,
694,112,289,992,904,997,487,772,924,844,734,404,719,181,714,491,990,194,023,
645,315,729,800,128,813,618,948,950,015,878,553,164,085,329,208,192,375,828,
777,324,404,594,994,215,589,187,127,167,597,929,637,830,431,868,478,710,510,
774,647,909,130,567,520,587,728,410,309,227,498,402,588,597,391,048,592,333,
564,599,074,509,483,723,170,127,814,647,180,886,304,286,852,402,334,890,285,
491,990,149,109,724,152,389,019,066,280,544,656,547,658,615,106,207,734,690,
469,803,094,677,083,557,188,505,243,775,451,222,291,579,879,938,845,234,922,
451,584,078,805,656,472,346,525,174,289,662,772,641,604,418,205,357,853,457,
751,822,029,116,654,098,771,330,653,256,857,202,865,040,254,183,883,309,714,
318,050,121,355,614,326,849,387,850,538,274,449,334,675,901,982,396,583,285,
004,700,928,485,368,630,286,939,980,391,271,518,053,964,511,782,166,811,062,
591,713,819,351,978,897,992,738,899,078,511,648,137,290,357,023,503,512,591,
239,162,339,990,299,065,614,498,988,007,903,758,478,966,578,388,745,304,649,
132,120,411,547,376,333,402,375,282,967,923,030,869,793,183,851,067,732,266,
761,169,665,354,773,117,234,873,397,756,664,764,175,577,381,390,850,588,560,
790,334,361,811,849,368,978,589,970,971,385,738,846,307,361,878,995,232,773,
259,705,967,140,211,930,084,874,215,089,144,300,752,387,431,037,569,825,843,
213,455,708,879,870,604,991,685,092,302,852,759,508,645,422,904,954,645,032,
439,560,937,049,321,981,283,499,044,874,727,783,050,705,965,599,285,538,633,
822,132,461,787,373,374,550,997,548,960,567,562,590,304,940,510,510,129,059,
921,789,465,964,804,347,850,450,431,642,577,005,987,015,318,146,938,251,457,
964,615,375,750,388,805,823,041,081,595,103,752,726,829,294,131,549,630,867,
666,176,711,569,820,190,697,867,805,364,769,835,704,420,967,274,047,862,825,
379,540,723,957,561,911,454,092,709,059,395,669,555,707,876,143,635,575,949,
745,111,980,472,692,840,413,180,663,066,338,097,186,832,108,757,763,484,959,
185,981,470,586,271,831,427,524,489,931,599,864,722,337,534,804,569,025,648,
192,636,339,693,618,398,815,149,475,469,165,292,288,888,573,794,550,855,327,
707,816,088,562,990,236,220,584,923,412,351,851,989,397,776,870,544,855,201,
013,712,243,694,414,483,940,318,839,448,825,656,514,237,081,400,479,492,164,
908,252,711,020,888,562,629,973,480,217,368,871,611,517,986,242,201,963,243,
775,218,962,918,290,617,713,987,776,125,379,736,284,269,060,846,555,255,583,
959,441,062,313,186,152,418,666,890,437,817,746,496,512,982,073,920,269,206,
908,786,955,589,209,195,265,975,040,758,018,668,994,575,691,682,772,293,858,
919,215,768,392,110,617,433,762,784,281,655,613,580,598,662,391,140,898,078,
681,221,484,640,104,719,802,731,083,584,837,457,448,461,240,263,424,434,305,
352,804,289,778,611,722,478,286,956,572,053,752,635,041,740,014,008,405,323,
134,875,555,591,249,293,779,622,887,009,229,840,384,201,284,233,386,646,693,
778,085,225,197,628,209,879,747,747,572,737,958,597,101,692,869,131,543,486,
164,582,105,481,703,568,994,268,451,238,318,118,367,233,829,904,301,290,358,
838,473,795,126,847,019,899,110,380,142,404,842,896,554,237,812,529,025,206,
896,557,339,621,767,291,075,868,668,099,479,523,725,392,626,283,974,716,274,
443,785,620,475,428,100,443,501,686,013,852,965,988,436,359,893,041,285,477,
822,010,087,136,315,744,347,699,839,110,078,895,030,389,358,723,739,336,514,
677,584,221,701,769,151,276,152,985,104,149,606,266,952,233,012,754,684,315,
366,597,596,474,978,190,463,479,529,094,568,797,513,110,826,184,961,067,832,
431,889,087,856,903,479,990,881,237,788,237,109,049,214,091,453,785,257,839,
207,891,041,369,624,336,126,622,584,132,973,945,461,610,875,870,244,525,080,
821,923,627,058,577,369,008,036,677,557,767,801,950,211,792,478,015,479,282,
901,950,088,408,026,501,668,947,358,931,463,653,505,335,976,551,456,461,675,
565,313,745,924,822,456,476,191,907,738,892,429,873,807,022,895,130,247,071,
205,367,348,161,356,277,853,610,659,895,358,640,089,129,082,992,674,890,227,
400,333,899,375,345,140,664,310,957,107,665,467,918,010,995,269,162,732,820,
898,503,295,958,712,727,387,110,853,171,003,596,971,450,872,469,222,947,923,
349,316,697,942,987,769,923,132,012,940,728,301,345,183,294,750,405,817,246,
504,057,832,562,073,048,641,345,645,136,149,177,258,896,418,704,071,873,650,
326,009,419,070,095,753,692,238,802,165,585,404,981,511,865,347,178,132,297,
101,243,438,116,590,956,608,653,067,158,044,776,637,371,329,585,267,065,432,
837,889,373,064,076,478,782,096,784,003,652,909,944,305,727,840,610,690,629,
210,669,101,135,037,069,389,090,262,477,138,371,454,083,011,391,500,109,097,
430,297,893,202,971,800,329,948,220,234,493,407,437,784,724,847,068,126,245,
850,997,052,671,438,183,903,294,211,972,799,446,498,810,375,207,230,535,167,
490,159,889,806,014,673,077,857,907,695,471,916,408,323,527,531,626,943,600,
742,717,092,594,236,226,495,402,488,256,608,474,722,937,955,554,293,805,581,
580,289,113,007,017,048,411,255,072,423,274,056,537,130,840,185,724,276,250,
529,003,728,131,171,969,997,265,135,708,592,554,490,969,441,474,490,848,256,
891,310,223,075,139,362,398,138,596,662,515,039,589,998,374,347,705,237,385,
993,738,436,682,640,256,873,231,328,478,166,118,564,916,183,984,045,495,109,
714,524,508,220,448,995,308,595,727,486,329,850,893,570,974,247,941,741,383,
252,698,807,769,673,174,873,298,647,580,800,759,783,975,532,809,919,080,715,
766,867,147,044,186,356,860,335,888,886,101,558,938,275,868,516,922,912,876,
401,302,748,792,246,743,286,026,479,015,624,039,358,793,598,468,130,302,071,
265,319,098,329,082,422,901,568,314,177,974,306,014,354,150,922,031,050,427,
730,853,120,155,439,998,946,280,714,329,760,847,866,944,748,318,421,395,208,
983,834,042,124,721,227,073,294,346,552,808,663,619,505,624,010,061,157,259,
396,288,655,122,016,080,456,442,219,819,136,237,231,184,241,545,838,134,189,
807,265,152,994,870,374,216,671,645,046,168,069,442,674,981,412,503,418,920,
084,715,976,951,789,611,770,483,570,121,756,279,300,133,242,591,696,330,966,
689,169,802,203,280,818,705,589,890,157,711,320,984,500,002,626,325,826,471,
663,822,764,179,995,222,279,830,341,771,941,596,570,882,061,281,593,127,849,
163,532,840,878,531,243,043,999,597,883,131,712,699,857,547,751,659,769,313,
282,720,797,178,105,865,774,433,862,678,463,921,865,639,331,770,314,170,334,
590,215,171,661,697,209,767,383,493,852,382,991,984,795,241,386,332,926,226,
788,179,832,897,393,556,268,301,721,061,700,727,860,594,853,687,529,547,625,
785,122,884,077,724,617,483,290,481,717,611,783,566,482,410,209,342,684,345,
956,600,096,611,366,453,592,775,519,393,688,925,260,270,345,021,044,354,494,
870,035,414,692,147,037,790,164,325,581,673,143,833,660,314,651,750,974,331,
625,163,834,244,315,184,906,165,086,043,244,357,509,300,033,080,821,680,011,
326,044,594,343,797,523,782,587,684,045,617,703,503,562,617,171,986,803,112,
412,347,745,454,248,180,471,530,326,763,201,834,571,343,539,041,998,103,498,
554,028,920,540,362,383,805,987,861,383,330,765,357,666,991,855,100,627,822,
197,731,771,330,217,519,801,416,982,625,243,915,557,746,747,649,621,952,060,
205,755,665,940,018,214,317,010,603,681,487,066,621,859,540,912,785,428,167,
471,870,497,183,464,936,721,679,273,230,162,713,388,742,171,889,136,812,489,
607,338,967,901,556,322,732,657,834,663,700,157,462,711,155,234,695,989,400,
660,563,985,848,272,411,015,390,574,391,641,672,734,984,927,203,414,852,090,
387,086,802,047,921,624,517,837,827,567,137,566,147,145,824,831,979,296,791,
949,703,629,024,911,889,267,239,023,405,137,784,051,745,615,409,848,935,365,
761,600,701,637,390,216,175,445,003,308,760,073,009,560,065,878,315,088,288,
679,699,294,327,206,213,713,562,237,668,207,206,638,300,080,142,090,665,751,
195,041,131,310,277,993,516,195,252,834,281,338,576,318,520,570,082,126,373,
633,700,585,497,938,829,982,838,837,772,582,573,698,390,004,033,360,718,106,
237,709,479,693,688,857,724,756,708,396,428,427,729,338,786,208,525,306,251,
051,266,120,659,668,643,188,638,984,333,120,255,689,529,938,931,811,011,569,
549,775,693,470,608,902,793,518,895,530,959,724,738,378,989,011,467,667,108,
277,692,313,633,939,488,773,702,061,730,580,843,866,608,460,918,883,099,335,
391,017,208,298,973,958,574,889,887,679,126,196,308,541,222,597,446,060,101,
284,118,692,003,890,873,989,138,626,787,388,349,508,824,209,892,587,512,946,
665,245,994,714,951,782,018,863,995,028,505,801,322,518,962,892,014,530,202,
214,923,774,209,557,670,877,512,450,011,918,709,321,537,820,935,396,129,645,
081,836,580,667,998,566,258,584,333,444,696,894,010,163,045,924,353,181,488,
506,915,936,671,617,143,747,775,684,459,994,232,369,369,840,019,977,904,654,
457,902,587,963,174,106,426,253,960,537,164,611,915,367,264,870,314,186,673,
177,082,131,461,222,948,304,851,642,439,919,919,213,360,572,900,171,197,234,
623,285,554,111,078,168,086,839,135,834,978,263,875,130,222,587,527,567,633,
145,505,088,482,545,001,835,400,368,313,840,902,399,877,464,054,642,538,653,
220,096,459,213,243,436,687,950,153,020,608,150,302,529,081,015,742,398,076,
663,220,325,482,947,858,974,880,865,452,437,253,498,418,581,695,626,682,443,
379,806,813,350,093,404,267,189,409,765,461,542,828,880,810,197,385,317,774,
765,387,724,088,974,317,208,495,509,475,221,069,573,689,692,020,930,293,601,
244,146,120,389,801,927,416,086,734,787,960,652,353,336,383,542,320,841,213,
270,161,305,770,712,283,037,618,528,815,369,480,912,257,155,662,820,416,710,
309,278,042,901,551,605,963,225,681,469,551,440,795,081,017,414,577,655,419,
310,708,372,878,663,915,419,261,616,555,942,734,823,617,520,841,477,578,069,
762,677,445,213,648,445,170,232,449,764,193,483,262,323,366,022,076,345,496,
419,238,976,834,691,433,148,171,142,805,894,241,863,638,178,036,745,525,630,
158,380,747,925,019,431,108,267,964,862,224,709,892,685,252,829,281,578,475,
777,927,665,322,503,986,385,836,726,724,284,341,250,052,443,007,287,320,571,
358,190,294,114,965,623,172,263,932,560,243,857,207,961,849,227,703,186,431,
008,209,295,954,046,995,291,049,916,717,130,238,384,613,172,703,875,247,651,
326,859,698,227,899,800,588,860,280,845,666,590,865,757,478,278,136,112,648,
092,395,893,641,849,219,286,008,570,723,140,263,303,912,076,293,933,268,408,
899,356,410,060,841,364,267,181,537,675,489,321,511,676,416,371,594,974,904,
093,750,947,947,042,821,034,738,316,542,961,263,481,039,500,635,785,485,170,
640,098,242,813,281,740,711,446,110,989,837,612,860,446,347,787,406,702,944,
489,633,122,079,432,700,035,998,371,563,483,194,893,159,231,881,214,978,726,
749,842,454,919,631,179,465,518,621,905,129,962,336,278,897,196,757,532,489,
131,500,627,264,202,646,913,115,048,706,152,655,466,034,172,115,979,301,702,
523,509,913,643,844,725,483,043,219,418,783,327,728,749,682,285,936,577,129,
587,249,215,584,751,653,033,271,424,691,193,440,701,900,504,536,795,231,659,
512,341,215,981,533,261,691,461,889,477,563,469,451,692,064,254,108,473,465,
480,210,013,700,705,235,509,538,087,597,199,654,578,321,874,902,790,476,641,
951,783,230,796,686,302,792,046,513,196,602,379,041,578,175,981,711,495,052,
888,809,632,543,212,408,930,056,794,071,303,644,663,947,267,725,528,565,372,
401,447,755,502,310,259,794,903,012,595,798,064,618,768,017,330,570,859,849,
228,277,581,612,805,041,511,401,127,685,817,006,860,096,858,927,024,600,653,
864,664,385,701,201,600,274,548,311,023,237,832,919,904,687,851,190,217,285,
336,541,752,059,295,346,091,586,139,713,642,816,027,884,404,717,111,630,760,
924,431,141,277,153,467,472,600,831,448,562,282,631,412,413,348,450,167,918,
630,076,422,367,551,734,352,788,279,032,811,640,449,203,879,235,533,025,560,
980,842,931,330,437,683,402,608,033,135,641,539,577,724,115,356,620,505,688,
084,338,962,068,082,270,786,084,012,147,806,727,901,240,786,659,715,718,334,
275,085,435,953,885,944,201,657,220,811,963,349,563,349,732,963,877,507,914,
419,251,304,348,819,459,965,125,620,597,364,146,329,944,771,891,605,954,067,
306,110,663,451,681,741,472,361,745,701,951,070,609,376,166,518,465,286,448,
226,840,053,987,714,469,560,221,870,985,720,137,112,849,588,811,357,376,549,
989,250,328,907,352,827,399,135,722,359,820,125,691,920,995,698,264,764,592,
294,720,460,550,022,079,414,795,391,537,397,594,018,503,807,456,206,188,478,
758,795,140,758,018,331,663,204,509,959,013,481,546,598,321,310,749,510,119,
683,659,326,243,232,826,906,586,581,995,068,353,666,809,655,426,413,604,963,
965,380,224,172,790,633,105,206,852,763,504,975,233,188,436,958,474,640,498,
992,683,378,184,477,541,229,761,933,464,350,306,039,598,982,095,586,943,672,
547,360,086,499,615,609,521,255,556,037,668,674,593,725,794,331,964,858,114,
965,306,991,422,202,297,372,110,349,369,729,444,488,954,232,528,324,230,340,
623,428,590,821,665,092,941,743,884,911,641,272,618,623,427,427,007,883,297,
380,348,632,964,740,534,417,093,662,370,630,572,407,265,666,032,348,268,835,
730,782,055,326,771,943,816,344,478,179,315,051,013,955,396,339,607,830,908,
688,004,998,326,087,276,462,201,012,744,484,168,155,235,621,019,362,078,275,
178,960,863,477,828,375,396,051,958,133,464,523,857,243,769,931,725,663,323,
604,541,959,603,001,031,556,208,601,961,934,037,162,593,230,764,838,916,064,
289,637,371,657,787,833,440,137,219,312,501,432,869,429,637,126,684,275,715,
731,735,267,282,128,925,329,598,128,052,009,591,866,363,705,259,000,237,041,
430,510,252,061,233,522,951,264,728,491,189,618,536,026,207,285,509,106,935,
419,012,077,901,931,268,772,128,913,111,518,048,568,755,205,018,158,062,261,
313,537,924,159,446,905,244,840,210,294,715,265,723,818,557,041,491,919,539,
794,193,441,392,507,954,747,422,216,070,215,906,122,452,080,733,766,732,971,
892,554,094,966,849,994,916,267,853,289,979,308,647,396,278,104,476,458,786,
549,315,822,344,606,085,562,175,427,591,080,214,435,222,851,640,019,353,835,
062,188,849,545,195,743,164,799,286,898,830,331,066,383,327,216,645,802,614,
787,150,255,142,429,839,692,977,170,994,118,206,458,003,725,382,966,155,340,
134,478,623,816,740,635,624,384,614,895,664,473,687,259,119,042,656,191,120,
686,740,401,285,513,935,373,353,485,355,215,574,523,293,522,724,296,411,329,
516,278,351,455,990,991,670,936,953,362,705,838,480,655,972,032,183,564,739,
813,745,583,916,608,039,709,530,077,049,364,217,995,393,953,772,139,383,810,
512,602,209,455,684,412,575,156,854,612,478,905,919,191,965,688,369,221,673,
562,586,932,939,741,728,265,966,126,776,893,468,393,475,010,638,192,337,087,
487,845,794,667,266,226,413,060,703,133,386,977,488,691,063,663,335,191,108,
300,411,926,623,107,576,845,923,571,158,191,901,360,660,247,385,143,200,750,
325,355,926,038,500,388,539,204,072,504,006,909,744,036,900,040,226,918,486,
227,614,678,785,674,717,213,926,491,906,334,771,396,315,323,218,774,688,190,
904,958,604,281,674,841,199,405,197,975,909,364,491,163,298,040,254,337,961,
980,388,312,285,988,305,957,380,702,460,126,516,485,618,160,248,495,796,895,
474,742,092,492,712,154,936,606,009,330,891,212,976,579,884,723,364,921,474,
753,512,944,374,029,116,629,073,522,926,610,401,580,169,742,376,889,676,272,
964,343,544,869,580,509,590,455,016,182,928,232,366,225,551,731,681,677,342,
073,118,808,131,245,171,005,813,841,330,316,596,951,485,446,505,089,636,063,
387,388,197,729,302,305,269,330,779,090,189,948,341,467,367,024,602,936,888,
182,544,126,285,458,086,590,272,904,956,757,917,692,104,348,873,465,152,764,
942,175,122,431,943,868,966,153,375,162,696,583,212,397,399,873,862,648,442,
727,508,720,904,115,928,673,016,042,058,501,522,197,089,372,319,422,426,098,
138,166,088,394,229,716,192,572,845,380,131,328,799,285,819,110,150,363,764,
046,006,938,595,638,295,551,846,455,011,612,204,217,966,771,713,530,791,581,
322,792,460,930,507,607,863,573,264,690,954,161,908,513,528,308,535,954,722,
635,628,796,635,008,012,587,156,363,536,455,069,046,819,183,535,045,911,162,
269,216,907,274,206,768,377,516,107,457,430,830,027,290,133,253,322,075,976,
809,608,512,207,311,823,035,680,988,656,567,570,399,236,152,433,488,821,138,
051,328,069,201,265,460,691,910,706,188,655,114,097,160,258,303,718,522,291,
800,658,579,739,158,380,548,844,318,147,471,783,090,973,749,931,545,727,321,
065,983,593,199,673,671,453,356,740,101,056,258,838,736,454,908,430,542,815,
490,080,325,391,454,960,748,365,887,425,585,483,412,615,921,348,811,305,790,
298,024,250,816,190,581,239,788,955,437,432,040,538,563,757,555,255,870,554,
949,353,586,142,204,573,104,270,852,024,899,701,358,820,332,971,891,263,147,
337,072,623,376,903,721,883,068,282,937,764,392,335,190,016,984,552,735,833,
837,641,706,976,704,845,352,347,850,646,560,612,753,960,308,001,627,355,102,
448,082,050,312,655,450,320,584,163,795,253,222,458,783,811,988,001,617,867,
557,680,437,158,276,230,996,979,466,913,310,646,286,379,209,240,001,883,541,
485,950,426,940,323,343,224,135,860,608,792,477,259,608,103,612,402,012,178,
268,890,415,590,763,686,821,997,658,019,043,655,657,691,483,307,473,594,259,
618,218,029,931,999,817,863,440,541,636,031,765,538,773,800,236,830,257,198,
312,764,783,848,280,480,078,585,336,362,366,914,064,687,039,283,414,531,084,
390,906,786,909,179,585,633,791,313,201,348,286,975,057,880,583,460,291,849,
087,428,139,038,525,476,059,896,527,450,562,696,886,644,643,680,289,459,423,
744,134,435,702,553,347,567,903,806,160,457,642,463,611,508,021,845,847,062,
144,533,307,697,432,166,472,371,882,851,525,487,752,868,014,188,764,850,132,
445,399,368,424,123,415,013,042,467,011,074,614,461,702,953,707,993,306,144,
014,474,282,948,860,397,082,934,488,191,253,870,003,067,597,417,193,369,563,
747,431,480,576,945,897,860,068,684,193,065,139,735,410,710,632,111,960,470,
336,870,769,801,689,899,274,693,003,426,251,973,261,794,620,994,480,695,015,
455,878,442,538,833,833,778,940,316,648,762,074,457,712,120,808,957,093,992,
328,240,556,661,672,918,641,249,897,797,572,437,576,740,758,136,916,374,118,
853,717,077,653,513,930,705,178,362,225,752,543,850,147,888,167,501,943,415,
258,589,655,027,647,673,440,554,485,703,961,424,170,353,618,011,572,413,260,
707,381,513,521,904,774,873,098,787,627,707,244,147,205,927,351,139,605,231,
835,221,381,862,521,874,418,771,582,056,887,268,044,641,635,581,822,417,449,
534,333,027,677,073,611,969,694,786,567,347,229,716,595,708,242,161,590,386,
965,665,740,196,271,832,613,707,454,221,566,523,868,236,184,472,996,257,834,
843,982,482,547,859,534,795,344,957,760,151,586,970,463,084,326,288,147,400,
022,510,584,163,197,292,079,896,483,699,635,905,942,447,819,644,126,569,950,
069,359,783,487,000,379,441,364,212,690,147,211,740,381,496,588,003,155,164,
865,873,155,808,354,286,883,770,273,088,714,004,002,635,334,023,290,276,351,
021,250,709,046,545,373,032,703,470,292,732,851,051,419,704,994,135,015,606,
163,236,248,374,224,500,212,450,094,252,771,741,871,905,067,233,490,072,643,
390,164,041,861,086,268,397,300,315,890,546,014,657,234,591,199,157,385,864,
557,673,706,995,228,317,905,977,634,426,109,795,321,767,973,241,088,950,386,
783,059,330,978,460,749,130,678,744,760,420,999,102,756,054,833,308,490,339,
041,754,830,760,818,302,348,404,388,547,178,192,078,214,958,556,245,435,634,
757,372,231,555,788,736,549,914,287,614,167,317,368,663,276,932,503,014,997,
850,879,772,369,919,152,599,356,129,504,519,423,139,975,673,017,989,237,258,
514,481,339,181,329,623,635,079,172,681,038,854,406,427,258,600,241,624,780,
510,757,147,881,540,882,468,429,336,076,483,972,493,967,990,109,375,549,290,
502,713,909,107,950,354,779,769,442,796,667,876,610,549,421,359,528,463,842,
024,446,135,440,287,490,530,526,757,228,378,213,484,815,534,968,649,588,293,
148,202,321,036,360,082,069,561,236,905,260,226,220,959,416,348,657,798,107,
172,685,196,472,715,507,290,537,190,859,177,721,463,101,046,551,981,581,521,
467,138,886,410,595,067,155,878,507,419,247,096,967,868,020,653,926,236,627,
380,156,139,480,792,095,006,281,765,975,062,308,173,581,627,844,614,011,115,
039,612,990,520,504,556,327,073,457,118,069,483,224,795,318,876,643,699,960,
375,602,556,169,514,996,900,883,346,140,492,686,117,445,269,871,169,226,513,
252,561,904,630,132,535,024,392,135,768,492,276,794,513,279,078,777,260,485,
783,916,920,754,224,782,156,368,095,120,719,163,862,089,326,193,323,878,424,
218,872,742,243,362,582,331,261,718,659,060,315,161,880,905,729,664,299,746,
329,659,356,296,278,913,079,353,233,922,329,290,352,766,851,686,032,808,663,
171,480,571,483,759,888,989,154,183,575,541,069,321,718,083,960,776,363,248,
104,916,586,776,101,725,898,170,464,886,477,488,335,014,521,093,327,009,109,
528,195,742,856,675,866,072,729,922,955,580,433,529,065,819,047,362,090,659,
960,806,436,906,044,709,142,334,971,823,262,275,141,137,384,946,154,325,681,
778,778,562,074,885,974,689,467,256,822,254,821,422,738,402,351,917,053,198,
212,281,468,807,503,923,240,301,033,174,187,770,272,159,878,303,467,385,439,
071,819,131,467,285,630,178,416,500,476,837,613,376,385,130,012,582,864,689,
873,958,587,245,472,846,714,479,631,058,184,046,052,938,623,703,399,543,593,
845,790,631,606,487,014,592,721,780,760,984,127,737,137,726,786,381,394,591,
664,198,219,626,959,473,891,098,431,948,353,956,447,020,764,559,738,822,894,
433,891,731,730,094,852,005,841,230,123,006,072,363,011,757,915,609,563,967,
405,721,545,822,932,430,113,669,493,443,240,876,409,966,535,723,867,124,312,
734,707,511,811,312,789,833,652,328,866,417,272,530,573,419,455,695,844,990,
121,238,011,829,929,929,894,469,028,042,370,213,888,346,669,058,592,452,806,
163,838,432,252,481,701,826,259,834,626,687,158,048,871,645,005,272,804,949,
246,881,035,416,755,507,653,570,262,401,846,057,928,403,571,726,221,269,929,
543,421,970,213,428,497,543,334,057,882,165,099,030,231,941,076,678,080,158,
483,369,927,808,645,865,091,018,190,118,431,071,012,649,702,330,021,434,885,
325,708,113,798,682,647,935,153,691,604,871,957,210,160,000,076,463,417,232,
000,610,924,234,361,256,965,006,526,485,889,702,468,708,411,138,832,291,981,
755,817,225,202,274,340,750,065,080,817,989,312,673,115,393,831,989,061,161,
766,125,460,997,674,667,705,222,771,285,820,525,899,906,127,490,518,465,082,
607,256,769,779,106,680,849,987,523,723,938,959,592,975,885,953,959,731,282,
256,822,474,670,465,821,045,139,966,458,000,359,741,070,058,438,017,500,137,
598,322,073,087,636,708,837,716,537,090,173,460,431,511,022,545,176,740,062,
174,293,214,184,572,952,516,262,944,405,542,650,442,059,466,809,375,981,309,
525,269,329,890,286,240,180,263,276,376,296,536,617,138,051,795,475,203,902,
522,441,249,921,396,484,686,080,112,547,633,984,125,991,198,295,542,709,202,
346,158,267,415,424,429,151,802,180,476,342,035,404,395,666,352,643,930,778,
034,033,082,702,420,962,668,709,096,629,296,282,627,413,605,651,171,041,604,
560,615,255,882,589,018,435,696,965,047,148,717,941,379,695,601,016,349,707,
317,278,140,444,911,529,981,843,269,678,314,760,464,316,539,618,721,595,226,
880,466,357,922,033,614,960,069,749,506,674,553,743,258,182,830,317,891,779,
944,041,564,656,033,202,525,434,260,353,266,898,590,629,428,483,184,200,875,
889,599,035,489,937,585,505,527,640,702,693,933,441,513,153,694,847,003,035,
696,374,964,974,766,589,475,998,109,443,556,776,171,099,285,976,073,613,812,
938,787,420,869,011,054,027,865,091,718,452,383,087,918,591,459,358,631,509,
619,356,849,843,802,424,265,798,339,928,008,416,238,938,162,294,043,764,173,
225,728,265,026,189,759,036,125,949,790,224,300,926,244,673,281,328,586,662,
046,538,965,894,287,632,943,319,570,136,795,131,166,364,120,218,864,704,680,
549,464,481,366,406,700,057,253,587,267,453,482,493,485,889,371,835,387,769,
349,133,188,557,974,306,775,292,423,422,363,213,841,632,322,639,693,662,182,
541,047,009,974,114,572,754,242,641,978,811,005,462,352,516,055,809,884,964,
045,694,710,548,695,581,086,096,455,456,335,672,735,047,456,813,507,454,962,
585,400,633,699,605,789,614,860,697,115,674,243,916,606,224,931,913,818,959,
436,026,016,294,589,902,858,501,653,845,943,237,381,967,459,366,020,932,618,
533,066,500,923,043,885,608,586,268,609,408,404,862,166,329,418,009,015,493,
558,874,841,308,278,290,039,959,942,468,124,675,249,552,010,659,827,499,048,
486,983,710,308,754,819,733,546,130,824,620,760,666,769,094,148,438,010,638,
787,537,888,883,478,270,786,545,734,274,424,349,959,445,719,496,213,247,927,
183,667,710,090,816,765,376,135,837,535,411,942,025,784,465,973,950,287,089,
237,811,257,703,999,227,226,030,759,526,044,680,365,246,392,761,599,275,252,
331,253,499,834,417,102,606,801,492,667,665,822,787,059,080,698,948,361,409,
591,999,505,765,883,517,483,746,290,667,964,783,622,375,776,628,403,267,770,
177,448,204,726,343,330,210,095,940,913,074,458,322,328,948,436,953,684,698,
873,133,640,218,370,422,680,969,572,248,954,910,376,577,084,199,625,389,343,
947,841,714,701,599,330,300,342,642,643,431,269,801,453,540,688,529,644,398,
725,652,415,739,327,972,179,044,675,360,244,911,860,697,737,561,491,374,404,
821,738,875,616,752,935,250,539,943,517,849,278,488,730,365,609,257,798,682,
919,177,665,716,580,919,334,566,873,015,804,922,875,687,615,161,608,461,451,
131,681,561,692,912,912,215,927,078,488,712,498,611,633,351,924,428,505,483,
795,158,783,722,883,940,489,307,926,338,638,322,649,835,739,988,919,004,200,
458,085,359,214,501,449,928,762,295,131,773,920,989,616,273,319,958,939,641,
484,637,811,286,577,595,271,017,145,809,086,434,726,688,638,534,119,103,183,
641,003,299,497,955,825,958,802,486,647,580,109,916,664,731,921,065,899,677,
871,751,685,319,292,551,253,189,117,210,647,261,685,202,811,162,687,397,228,
105,550,653,096,968,049,463,509,743,043,297,906,667,857,234,969,157,058,802,
734,910,237,771,666,112,950,873,580,263,634,617,459,173,148,222,532,387,495,
828,171,042,276,866,365,801,098,528,840,646,092,255,537,682,457,764,694,353,
188,467,610,743,762,202,261,811,269,896,037,660,079,070,181,962,788,414,187,
966,121,018,370,071,468,430,719,348,924,904,260,689,359,113,055,311,775,238,
277,842,997,869,282,924,008,006,765,511,891,399,445,324,114,528,249,196,589,
139,514,261,852,554,849,640,567,061,809,620,392,972,370,760,921,302,982,865,
570,252,283,273,905,073,012,391,495,547,206,847,176,562,270,281,305,546,032,
088,809,043,367,359,364,593,796,364,573,619,094,095,937,211,334,344,642,281,
370,131,074,798,662,616,206,868,729,325,404,403,770,169,528,766,579,450,817,
477,180,106,902,593,065,214,118,638,211,673,088,988,326,251,206,919,117,657,
684,310,109,709,294,293,798,890,395,806,646,539,032,777,407,090,385,231,543,
250,246,513,679,511,224,226,777,576,954,437,835,131,360,435,972,656,823,115,
018,465,241,708,117,151,162,594,710,735,387,348,495,805,315,148,133,589,540,
280,153,223,686,650,530,358,398,305,501,482,778,421,569,439,128,955,956,844,
710,157,176,587,960,401,806,640,117,653,948,777,839,571,147,245,243,920,210,
640,924,940,788,862,519,367,271,558,972,155,465,776,682,917,923,553,550,733,
405,495,670,065,014,547,346,693,402,662,859,080,285,295,522,298,894,230,082,
046,197,526,239,557,647,870,172,765,566,402,922,261,105,254,888,561,303,576,
652,283,457,360,247,625,571,639,599,816,659,329,147,379,694,868,258,851,145,
960,256,662,259,889,109,950,141,467,271,719,989,644,743,621,487,326,672,839,
049,191,891,374,963,741,537,537,101,253,925,951,806,196,498,047,389,511,517,
445,039,765,771,437,527,287,056,558,835,911,625,558,472,630,407,790,830,174,
325,777,384,000,549,064,581,630,048,553,157,027,579,806,042,502,866,497,649,
758,934,999,363,636,752,468,763,311,223,739,504,734,139,431,844,630,907,618,
388,032,804,301,088,939,300,033,775,989,219,465,907,209,265,741,395,003,046,
633,288,567,660,011,179,718,551,831,687,619,746,258,980,005,136,703,947,144,
683,535,500,049,811,569,743,187,409,921,693,772,469,388,826,561,003,901,551,
877,211,193,100,018,524,345,087,723,554,028,250,152,540,798,502,259,610,147,
089,129,238,696,421,585,234,000,658,624,514,595,097,363,754,950,078,563,587,
062,094,144,298,311,736,555,354,723,541,923,364,596,029,065,929,772,273,450,
656,493,037,788,483,749,733,659,587,109,771,680,402,800,732,228,851,619,462,
820,695,808,311,993,942,635,683,357,928,860,256,105,089,097,242,932,439,310,
949,026,475,639,059,902,477,875,967,862,820,424,651,710,221,227,293,607,683,
316,162,485,560,656,355,233,491,994,111,638,580,368,758,360,347,349,599,852,
074,472,406,011,669,539,315,220,854,128,971,139,328,414,442,671,415,535,431,
264,840,305,113,203,221,843,938,305,873,120,294,076,510,400,706,633,403,913,
597,575,070,585,280,969,975,721,113,712,985,645,242,590,272,946,361,403,578,
529,904,298,868,966,013,900,927,683,678,965,661,117,531,517,195,200,258,481,
387,483,747,580,602,106,755,933,568,316,713,519,876,201,577,909,227,609,823,
255,993,780,748,778,640,494,688,173,685,840,977,937,946,240,066,016,129,389,
608,357,474,410,598,525,013,374,225,655,740,566,267,418,487,471,593,702,321,
807,398,292,000,961,688,249,411,973,984,672,687,671,757,674,980,897,273,766,
707,697,919,670,705,689,851,880,477,024,351,093,424,259,014,667,407,957,539,
555,675,847,927,150,925,181,437,339,674,770,329,754,353,736,485,810,692,785,
293,199,982,068,150,741,859,124,143,898,029,087,149,840,797,839,178,878,802,
839,664,298,623,338,338,505,146,018,342,191,686,249,292,300,898,586,241,707,
361,767,231,666,511,864,409,274,885,776,995,996,917,645,874,577,189,566,926,
177,915,401,215,762,156,233,585,472,313,467,873,412,007,246,983,155,943,065,
071,840,131,543,251,362,826,959,388,973,052,150,079,768,701,037,753,183,396,
277,700,360,490,027,278,705,074,166,437,023,065,437,188,538,466,423,246,414,
811,986,407,711,967,150,361,977,944,163,445,061,078,254,361,956,769,625,695,
478,457,360,143,664,663,022,646,510,467,067,318,932,070,397,586,862,128,126,
869,144,889,838,418,838,459,711,035,774,332,147,010,215,701,790,785,991,027,
072,967,039,469,680,031,935,508,555,385,477,015,991,200,621,692,865,414,559,
280,564,108,410,330,153,776,291,064,941,491,929,899,769,136,295,770,855,269,
411,218,440,587,498,880,499,589,669,112,144,571,094,645,426,084,144,805,203,
009,529,890,534,528,148,911,209,851,750,083,521,207,238,960,328,442,069,099,
731,801,157,289,824,134,507,324,514,294,795,440,451,315,599,375,016,905,468,
091,382,419,226,679,371,907,957,544,610,221,917,014,542,416,048,915,923,627,
912,960,268,892,422,909,037,788,993,036,223,720,853,798,360,200,114,914,024,
841,125,576,104,252,377,244,899,440,689,998,172,559,058,870,868,340,331,562,
560,400,170,522,378,910,635,674,536,031,221,372,123,466,361,849,235,493,348,
759,253,113,104,902,668,337,793,362,702,487,251,271,350,122,383,463,430,250,
081,509,182,087,169,243,860,442,930,448,686,865,188,992,954,760,597,585,873,
155,510,115,598,391,500,685,782,799,984,590,356,549,773,865,668,080,638,625,
504,069,611,452,107,304,925,094,585,506,463,080,812,661,424,917,510,775,561,
248,614,438,178,564,090,276,125,038,299,533,498,332,752,451,424,856,100,170,
778,341,197,774,416,708,948,642,766,781,717,356,910,268,805,644,167,713,288,
955,492,102,331,488,673,616,248,085,759,201,658,135,557,519,640,801,396,861,
347,132,771,453,975,710,306,339,927,322,038,505,889,272,248,504,777,977,136,
040,899,310,297,298,476,207,507,341,571,956,180,908,532,141,930,018,186,467,
128,078,722,307,492,964,610,623,233,957,417,879,588,661,263,405,511,669,201,
963,746,991,799,591,311,962,875,860,526,823,279,897,240,819,163,144,301,193,
722,185,536,945,401,071,300,296,301,208,306,701,400,422,058,768,083,140,823,
666,653,665,584,687,977,675,990,333,726,458,855,218,418,029,486,932,354,339,
251,471,135,047,458,992,365,254,847,925,539,398,419,003,442,071,930,947,850,
420,260,490,741,814,781,158,831,548,061,999,257,663,145,624,242,036,885,066,
399,241,856,257,591,271,139,150,928,216,830,118,407,109,433,280,316,970,007,
369,605,838,401,361,011,939,492,113,112,471,399,294,314,474,649,446,417,141,
492,534,473,542,217,011,522,844,628,138,056,455,157,452,336,889,350,167,472,
481,092,921,929,653,980,947,022,776,787,144,129,956,648,819,858,132,479,153,
264,830,408,444,855,654,232,802,751,664,019,732,262,181,065,897,310,503,740,
718,144,110,846,549,820,449,835,056,371,588,505,660,180,558,005,815,201,158,
187,116,029,362,167,287,198,086,522,633,750,649,945,519,101,833,263,164,184,
414,738,160,582,778,432,654,977,766,157,221,970,838,581,725,208,725,292,412,
401,819,724,756,993,949,248,156,205,056,142,075,988,999,905,801,561,526,061,
050,913,989,080,579,860,191,762,736,172,303,159,810,682,121,771,162,756,432,
634,522,738,691,970,145,848,858,982,708,636,687,852,726,385,790,388,409,188,
785,737,029,124,477,898,431,869,465,835,592,731,120,711,643,230,965,838,508,
768,201,319,085,037,702,343,218,559,619,639,460,984,910,709,789,376,192,786,
812,376,008,321,839,020,293,663,044,668,603,149,359,897,444,067,647,598,980,
980,750,018,876,769,479,674,418,621,178,187,037,445,863,524,955,882,418,419,
147,569,313,753,207,865,126,630,890,261,834,238,978,939,261,330,656,244,485,
438,906,909,305,301,377,072,272,191,845,325,363,708,161,459,156,820,918,733,
342,355,357,070,649,717,770,350,880,855,698,002,454,998,359,044,571,222,204,
193,883,820,229,422,110,435,269,882,658,307,001,716,403,405,720,649,247,425,
073,058,662,039,461,681,706,998,899,170,075,596,494,813,916,410,850,572,992,
970,283,249,268,868,549,182,902,373,966,488,104,845,664,972,820,098,070,679,
578,730,184,260,891,502,908,747,777,581,876,144,547,828,073,126,988,367,193,
789,558,488,806,318,014,328,584,612,992,400,223,492,909,154,626,640,073,944,
111,029,949,909,093,871,024,061,510,245,229,935,802,247,173,095,768,721,043,
736,324,829,703,565,085,894,487,003,424,464,841,939,649,780,915,839,383,522,
444,818,219,348,893,198,076,083,721,615,514,458,564,785,335,155,092,992,117,
450,138,861,757,996,726,790,416,628,872,751,281,259,726,894,031,533,239,501,
519,764,005,481,531,566,250,552,553,341,371,152,168,996,489,780,567,576,759,
166,255,198,865,967,851,973,937,817,216,019,995,493,050,188,259,382,763,221,
168,959,147,124,451,860,883,414,127,847,318,021,694,646,991,663,728,092,865,
480,066,414,071,060,382,291,376,097,668,802,490,575,112,234,770,596,075,809,
166,653,622,490,014,166,110,561,208,491,539,624,303,062,279,044,771,746,739,
181,237,657,290,253,750,217,142,588,400,128,771,144,368,828,955,437,988,367,
253,707,986,279,506,766,169,548,343,592,365,037,991,783,978,639,120,251,473,
572,680,476,496,453,214,377,150,115,652,191,170,003,299,619,434,102,073,052,
649,630,310,807,460,539,387,550,656,785,050,662,348,650,064,494,514,867,371,
081,952,511,380,551,073,324,323,646,517,037,987,986,679,958,274,142,124,771,
521,935,192,741,874,623,319,141,414,035,501,987,819,302,041,231,860,346,488,
661,417,387,768,314,056,150,911,362,157,522,672,913,889,117,356,362,194,486,
995,795,709,512,745,490,748,961,065,278,655,451,009,320,184,842,534,065,424,
197,472,465,249,264,585,761,365,007,999,669,473,901,087,507,016,485,343,313,
314,415,413,577,225,737,154,943,429,033,982,863,933,760,657,600,352,812,257,
957,164,779,784,157,707,615,294,647,714,812,636,022,244,463,776,724,282,946,
634,922,416,974,137,363,909,819,268,135,581,203,268,356,003,751,647,425,824,
628,220,659,632,944,198,723,674,213,295,290,224,001,398,592,895,232,448,294,
794,130,389,241,176,073,339,083,265,306,448,770,923,903,256,337,999,805,443,
272,897,344,340,492,882,828,686,492,538,557,682,003,108,089,296,840,351,138,
464,160,737,216,105,092,543,907,569,720,893,416,918,473,529,941,898,260,072,
800,989,081,122,724,193,275,663,538,585,437,960,375,566,905,707,099,411,995,
158,803,490,064,940,086,839,541,050,532,594,315,015,614,309,121,606,280,632,
632,218,626,864,294,647,414,436,055,767,530,004,521,962,123,855,147,822,590,
723,895,291,944,850,189,008,906,535,135,460,233,785,226,209,273,806,915,157,
980,742,053,311,003,910,053,896,841,297,711,397,802,924,022,627,211,202,500,
054,993,222,292,359,963,985,880,510,395,830,287,759,584,468,637,420,691,420,
934,581,178,947,057,485,622,127,825,642,005,262,954,677,520,889,978,527,941,
886,105,359,243,842,330,798,163,202,294,223,024,498,577,624,832,509,434,081,
284,274,447,908,103,259,346,270,629,482,920,100,342,713,345,238,583,122,991,
359,656,046,615,305,382,528,190,948,864,155,623,006,443,798,435,232,475,104,
955,138,068,061,749,401,113,590,919,406,144,421,966,297,104,106,751,907,656,
597,153,483,511,288,360,003,391,536,552,368,138,955,574,694,280,319,538,448,
264,898,065,074,930,860,418,855,185,924,682,898,072,563,917,699,998,807,524,
416,102,473,122,848,342,813,025,126,935,388,669,752,899,781,938,654,878,457,
266,878,950,577,007,257,136,111,044,399,384,387,893,207,081,906,949,538,669,
046,909,850,299,333,723,978,122,784,639,552,000,839,172,242,527,951,743,863,
055,195,144,468,600,999,825,747,275,254,085,662,669,864,673,880,270,569,977,
169,420,315,371,177,336,872,481,183,341,713,415,357,204,387,138,438,974,694,
191,324,869,101,369,489,250,247,562,009,832,301,824,653,308,639,548,137,660,
893,838,843,767,899,668,968,653,528,426,854,096,707,591,461,679,311,704,870,
405,949,854,049,400,277,644,389,312,573,994,839,108,866,417,858,609,805,531,
831,786,779,471,837,200,154,789,911,683,010,847,066,836,587,467,367,065,340,
220,634,105,935,828,095,887,614,981,100,810,261,049,769,909,322,123,420,638,
617,628,760,211,782,159,584,254,647,253,565,208,659,097,167,356,417,863,159,
291,331,685,466,659,726,688,289,220,720,474,791,552,648,813,185,278,571,259,
095,349,574,267,584,954,917,292,390,562,720,988,008,468,365,709,693,154,860,
642,039,943,494,594,686,998,697,193,747,844,359,777,503,868,973,828,829,453,
376,037,870,527,652,606,189,462,028,799,033,620,719,574,100,042,864,235,236,
300,375,188,266,172,028,102,388,162,716,124,994,952,118,409,837,329,478,412,
588,361,566,772,655,768,429,095,671,186,267,913,547,469,590,276,012,513,492,
247,826,572,598,995,774,600,687,647,277,177,802,271,653,576,586,339,623,525,
870,599,634,495,089,756,890,831,579,329,700,333,222,539,528,584,581,102,101,
091,274,057,931,817,705,695,623,076,907,965,970,602,033,077,543,277,799,158,
215,617,673,418,025,792,129,662,746,284,344,455,147,026,426,426,564,021,448,
802,996,293,715,739,083,337,560,954,841,637,782,317,515,524,263,670,256,247,
233,588,967,165,756,281,387,672,706,636,986,057,690,176,002,602,437,499,916,
940,788,228,921,077,898,619,009,503,944,420,107,947,069,792,725,547,984,228,
730,811,548,142,427,062,409,256,774,171,606,049,744,926,576,427,913,747,435,
259,866,421,634,273,092,440,014,197,781,160,605,350,343,413,176,046,884,416,
407,017,903,459,665,858,526,144,803,740,464,151,895,261,094,881,814,809,793,
152,246,105,836,447,152,847,102,289,579,806,977,818,411,042,723,524,059,172,
173,970,388,607,939,524,586,607,242,187,478,763,237,711,049,509,986,316,918,
750,495,596,955,646,757,056,135,922,471,563,179,976,853,055,421,710,166,822,
754,221,988,089,990,842,761,571,498,214,714,841,392,394,340,159,912,962,596,
883,472,906,067,755,332,096,429,466,335,853,495,808,931,061,610,875,250,035,
379,135,684,198,641,480,511,279,658,483,392,693,897,468,224,613,583,249,809,
176,402,306,678,429,213,960,283,742,505,031,373,548,219,549,786,951,070,195,
220,807,518,666,317,738,834,744,960,817,301,870,489,068,464,235,299,293,048,
862,517,466,943,837,169,849,771,292,461,268,751,213,188,270,835,567,212,024,
757,915,585,021,006,985,869,424,118,056,437,409,884,881,103,790,513,845,685,
742,088,736,583,054,760,538,055,211,349,733,326,237,072,827,061,370,138,779,
333,826,694,204,691,102,416,388,153,043,065,050,796,863,548,037,819,800,776,
864,797,358,898,153,460,756,731,279,573,135,659,539,585,819,280,266,594,661,
922,232,034,024,050,864,538,670,109,921,072,386,620,433,461,429,446,122,665,
800,801,989,688,222,688,000,792,599,633,894,452,071,077,956,204,409,658,635,
909,241,756,742,345,706,988,000,760,961,001,700,720,168,949,313,668,262,703,
607,690,170,596,606,756,621,393,163,209,111,978,722,652,347,888,407,646,325,
173,829,557,360,327,317,522,801,314,583,288,580,155,567,319,993,779,637,479,
020,891,488,415,896,130,016,669,630,232,253,997,271,293,183,597,474,259,252,
467,222,424,708,797,058,828,854,046,895,482,767,612,616,666,018,032,654,290,
499,788,650,906,001,125,892,845,660,677,783,894,456,317,936,685,662,655,648,
828,368,957,459,400,374,425,245,405,088,367,978,447,974,247,935,803,223,724,
330,352,685,567,015,110,952,742,310,906,072,942,217,758,321,651,616,001,260,
405,414,755,580,333,953,978,098,029,732,631,666,140,716,531,338,763,952,869,
388,934,027,721,959,868,907,124,519,066,060,235,783,358,806,147,419,459,713,
341,822,714,631,769,347,093,333,240,172,877,909,772,760,989,505,278,867,519,
614,355,566,378,456,913,518,752,058,232,720,802,094,948,995,294,388,155,509,
599,659,440,535,632,533,459,208,452,078,511,597,536,958,371,854,292,586,658,
137,143,650,451,072,292,370,912,617,935,611,737,395,455,605,014,087,761,668,
617,729,833,179,736,121,400,989,133,738,186,008,296,954,648,676,160,725,313,
306,033,910,702,053,800,674,788,019,531,882,231,344,457,021,689,368,044,019,
602,865,861,469,135,816,112,869,404,675,904,655,775,538,868,459,724,480,559,
241,089,021,690,944,332,106,981,153,005,990,007,444,561,468,568,633,096,346,
358,782,403,623,234,160,847,151,255,106,556,104,091,399,942,321,473,088,595,
472,591,727,124,308,900,135,130,145,569,711,072,347,616,126,311,014,470,291,
950,094,232,445,458,188,757,359,531,186,085,966,655,912,429,370,178,567,284,
252,136,925,506,689,869,821,745,369,192,736,518,709,584,579,861,975,442,688,
724,864,936,457,085,011,036,162,104,157,094,121,443,065,572,697,695,266,775,
075,024,918,048,732,554,494,815,307,514,680,286,469,401,396,627,794,511,072,
582,244,296,604,929,421,874,719,843,167,443,735,524,412,667,729,631,443,529,
059,856,879,116,514,618,787,358,835,026,955,604,140,219,352,110,356,359,915,
881,344,015,443,114,957,879,499,438,515,377,454,058,630,852,338,762,334,923,
363,609,738,703,402,430,371,026,858,986,450,242,398,628,103,122,159,122,177,
515,415,249,787,575,957,209,886,186,568,607,773,033,562,264,613,320,003,495,
338,846,079,375,223,211,924,772,403,255,979,850,902,352,099,020,468,713,959,
145,008,820,991,081,836,629,032,617,021,115,088,630,260,079,410,384,250,673,
959,415,008,753,630,787,694,597,271,990,440,829,594,459,320,430,600,576,500,
165,948,062,742,926,240,571,491,775,126,371,273,937,967,956,277,667,971,772,
037,444,254,618,292,535,318,665,040,297,072,812,894,745,546,768,245,321,120,
640,677,930,718,450,981,020,278,059,916,781,582,673,722,731,683,282,972,722,
506,894,532,625,782,257,493,651,918,588,337,826,145,091,468,112,338,410,790,
036,908,843,767,134,539,304,141,654,102,981,007,232,978,048,536,993,594,511,
742,486,445,405,694,791,547,264,340,944,570,023,851,360,670,382,221,316,094,
579,825,099,242,524,331,614,998,012,840,650,565,662,044,979,085,777,894,615,
089,985,199,348,062,441,469,630,026,325,175,191,757,461,051,112,080,594,817,
314,643,230,258,214,349,924,292,829,947,491,066,995,996,081,150,646,880,313,
738,833,453,422,795,377,397,287,537,124,497,527,475,485,425,049,263,856,909,
710,850,125,315,703,677,444,189,746,489,849,018,349,088,536,528,836,640,203,
654,094,629,115,404,798,726,496,311,129,410,068,819,332,319,874,421,802,776,
228,664,443,511,189,747,674,240,732,820,019,383,486,233,486,400,351,929,566,
073,936,899,799,596,325,687,341,879,192,910,608,984,314,701,917,822,058,823,
418,136,255,677,739,260,038,679,284,117,940,461,984,005,268,956,350,776,594,
670,420,345,314,109,347,215,411,039,838,823,088,094,226,124,697,101,548,065,
096,041,744,177,718,155,929,643,564,672,060,853,777,759,948,726,250,836,556,
689,722,616,476,395,168,372,021,769,260,668,426,888,888,574,023,641,664,631,
361,093,252,510,555,580,182,275,832,555,023,555,952,285,547,419,167,258,766,
964,610,709,022,040,512,896,390,514,972,305,935,382,805,367,443,237,314,189,
170,758,159,829,227,287,072,951,970,831,184,084,337,788,372,281,217,435,552,
254,189,338,504,521,292,020,513,966,301,099,569,001,816,299,463,297,361,721,
265,494,797,245,168,522,805,487,666,403,775,235,274,766,043,512,221,516,732,
377,301,746,099,943,841,837,560,146,162,747,680,403,962,972,364,064,525,546,
756,804,064,282,875,584,746,194,109,821,937,784,472,953,888,592,198,513,062,
911,140,534,609,281,473,247,393,007,732,313,277,048,419,932,109,689,732,813,
824,711,259,894,878,955,579,282,356,076,100,036,091,060,457,446,378,018,792,
041,859,608,374,905,861,846,173,727,123,348,801,788,603,925,604,399,355,834,
527,243,813,122,763,055,637,726,521,258,761,675,784,905,863,043,081,443,045,
353,083,691,086,075,688,367,660,486,056,985,872,039,055,229,671,019,196,820,
762,881,121,202,640,771,047,734,915,156,613,204,086,700,002,565,467,009,783,
331,324,006,935,366,779,853,474,996,400,018,177,044,436,434,467,102,924,820,
943,162,851,694,823,158,074,704,507,448,425,265,514,277,537,526,714,922,050,
682,984,627,364,030,927,686,643,175,493,024,914,826,863,697,312,162,550,370,
301,746,922,402,446,852,823,440,016,566,720,906,527,195,950,681,158,269,396,
087,398,583,294,225,445,839,908,599,834,686,745,130,363,190,826,360,613,534,
884,338,002,080,940,255,876,286,434,172,591,455,343,234,391,484,313,203,884,
115,777,674,821,468,316,221,176,236,540,955,895,440,749,170,293,525,284,787,
615,350,596,702,165,921,471,229,122,629,740,158,089,432,311,739,316,951,958,
159,785,191,218,536,364,728,881,169,474,989,295,045,233,515,527,959,704,490,
503,260,425,349,931,374,533,954,299,268,870,300,608,784,927,530,140,189,716,
391,949,208,629,684,629,310,283,236,459,195,198,759,176,482,822,392,617,562,
349,983,616,143,151,986,813,070,729,645,564,159,066,223,833,323,910,634,803,
900,221,013,177,494,562,601,861,953,492,466,054,550,472,951,109,222,419,326,
666,496,645,490,492,942,761,941,682,477,401,904,772,216,747,773,316,443,228,
488,420,822,685,176,726,114,626,221,346,262,932,907,445,518,625,121,323,794,
508,035,539,687,709,071,567,576,134,596,452,537,556,292,094,641,557,309,644,
113,173,201,527,383,441,705,578,994,933,249,914,769,604,821,621,402,580,829,
267,074,903,390,650,651,196,908,406,056,140,826,891,395,263,784,547,559,333,
244,555,986,760,458,731,587,848,382,198,366,770,280,198,521,516,665,258,471,
521,128,685,683,611,254,214,845,309,629,086,161,112,001,438,792,353,188,825,
459,931,251,871,556,360,729,458,763,412,314,726,815,321,115,351,399,145,394,
654,756,505,963,728,636,707,037,626,389,022,711,484,453,384,027,221,118,961,
600,691,338,635,630,827,476,910,162,141,468,584,415,204,006,849,666,199,543,
238,617,418,779,891,066,315,503,558,719,056,714,656,823,915,624,878,795,894,
853,735,989,576,699,984,041,173,712,525,332,416,622,557,729,449,104,222,616,
505,947,863,710,822,854,405,780,511,720,355,613,975,130,798,220,458,639,837,
114,614,389,952,273,322,514,110,914,024,283,406,522,721,737,680,398,281,456,
575,462,063,563,822,441,714,046,665,830,874,508,897,989,084,944,948,069,804,
256,033,751,344,570,220,446,276,442,291,114,946,006,639,852,597,907,132,972,
016,359,386,886,347,725,410,003,674,057,962,557,446,331,123,028,103,262,732,
234,782,466,568,721,695,939,608,207,845,518,242,281,741,439,167,812,086,118,
472,101,340,102,576,032,476,203,593,817,010,562,523,796,096,654,179,148,640,
112,712,993,832,128,519,427,515,378,412,643,539,545,717,299,555,976,902,399,
615,114,057,645,666,222,242,422,783,014,679,346,986,176,415,708,053,470,231,
140,084,865,665,728,947,901,272,742,163,099,904,727,335,392,929,839,654,019,
369,616,805,739,550,383,279,697,261,400,580,627,216,237,384,335,051,978,535,
034,673,487,248,549,957,322,692,699,633,693,549,892,870,478,839,411,209,489,
847,107,555,095,640,004,147,506,813,516,891,563,561,975,280,412,265,813,756,
206,421,937,955,394,991,081,799,840,200,282,120,970,176,600,633,335,043,169,
648,996,491,391,464,873,510,198,129,820,701,074,707,156,320,155,764,683,700,
216,515,432,123,747,534,617,413,467,687,092,696,975,052,163,365,233,912,502,
492,126,802,426,041,332,343,034,024,410,955,601,949,865,555,391,160,001,707,
618,445,505,698,305,471,483,869,875,515,787,148,063,585,573,284,954,075,115,
465,604,072,244,835,213,412,812,731,749,790,440,323,529,522,735,022,936,782,
339,041,615,095,598,730,021,712,626,836,083,163,126,172,554,269,753,401,183,
343,903,025,978,940,818,330,948,045,173,061,317,672,349,633,967,297,767,369,
820,752,086,440,800,174,918,794,735,871,178,276,691,804,927,578,804,801,079,
331,258,627,476,144,059,275,312,847,494,754,262,395,603,331,543,437,950,355,
622,031,271,257,867,580,311,342,630,101,796,262,330,391,919,234,113,025,632,
418,960,042,021,053,373,365,947,521,483,462,618,138,110,987,369,599,135,336,
561,178,247,296,992,334,408,448,334,764,582,172,444,809,532,354,278,782,680,
221,544,047,008,138,016,190,650,286,986,844,816,177,288,260,883,866,813,894,
473,747,884,986,621,968,153,555,017,398,847,402,247,941,316,686,779,724,075,
233,557,504,669,416,924,596,714,506,022,310,722,700,660,322,252,015,641,629,
291,458,657,228,344,399,434,992,219,538,423,997,573,175,760,490,841,338,322,
910,289,900,626,667,365,686,507,794,198,013,174,640,655,984,430,522,443,678,
549,997,409,589,063,502,483,718,458,582,351,904,695,246,259,049,468,080,404,
060,013,579,231,866,401,199,414,132,916,588,946,422,825,563,121,693,211,849,
626,954,970,163,456,591,546,184,268,054,995,200,602,965,229,285,166,224,310,
772,903,772,445,115,163,232,251,317,348,347,413,824,107,772,617,042,965,916,
098,844,358,383,656,992,773,024,339,679,501,886,334,684,909,081,091,554,647,
055,901,305,895,408,907,447,743,523,437,661,647,162,675,571,173,807,145,620,
081,893,113,204,387,943,963,661,087,803,467,521,263,552,896,991,657,273,596,
665,836,390,073,793,690,518,408,408,381,373,316,316,262,084,684,793,891,126,
047,181,257,099,798,927,261,255,822,074,422,922,063,051,093,382,922,776,975,
853,416,648,359,324,829,031,780,623,103,672,037,651,517,240,296,451,353,867,
389,960,443,213,592,354,334,909,860,051,930,659,462,082,278,123,119,507,252,
892,077,443,061,905,335,026,212,967,552,232,134,658,658,866,212,280,228,644,
474,469,148,462,299,156,220,495,356,541,629,801,188,345,404,743,067,335,153,
836,883,684,670,958,845,740,688,707,186,673,436,971,250,956,604,447,007,946,
511,608,928,047,753,699,253,885,321,171,390,539,591,519,042,022,960,403,146,
444,620,791,253,625,154,870,860,820,462,450,602,661,118,034,882,365,096,872,
678,505,738,377,257,254,459,204,817,981,893,455,960,792,702,856,417,125,317,
727,661,437,345,737,557,634,961,150,480,401,619,785,669,366,975,306,770,959,
664,345,960,412,796,796,171,884,875,645,901,864,837,642,837,623,922,696,512,
647,459,041,701,620,824,575,635,679,146,522,907,646,211,961,000,015,048,202,
998,091,253,476,564,015,035,532,251,958,307,524,527,656,654,937,010,941,378,
509,140,074,380,438,260,386,657,643,644,023,416,518,922,794,279,220,870,322,
250,661,645,368,285,592,265,048,222,637,490,879,211,775,216,674,070,881,322,
131,876,830,346,353,627,485,899,501,099,420,979,934,326,261,594,768,200,309,
857,086,458,275,894,131,269,376,287,111,281,906,050,002,638,553,772,025,616,
824,033,876,251,672,830,694,623,582,492,229,503,066,310,716,610,252,935,748,
772,001,417,599,283,895,076,013,581,092,773,716,150,466,559,306,000,480,775,
292,917,006,197,604,646,711,283,913,092,503,663,139,585,780,453,019,894,194,
303,097,223,430,290,644,626,822,213,457,971,980,754,941,058,438,305,709,505,
904,646,760,371,815,893,190,101,392,838,292,142,063,539,220,136,416,978,002,
090,926,749,235,308,453,051,291,578,181,767,807,711,003,003,339,864,812,664,
848,976,474,695,292,082,502,846,393,951,232,318,356,774,141,408,267,923,454,
413,667,497,374,839,385,560,741,136,562,745,233,821,196,059,529,244,280,282,
160,813,516,641,498,028,990,960,793,633,929,398,614,717,137,870,337,933,054,
590,470,617,685,560,240,854,424,311,313,840,476,238,747,586,557,427,854,252,
046,065,921,029,905,142,829,179,516,858,632,856,385,861,429,939,101,442,983,
750,679,903,119,548,177,839,602,561,000,018,581,810,382,233,219,502,981,899,
092,391,304,807,392,571,398,743,500,838,681,891,779,589,381,288,698,533,241,
516,955,778,600,025,738,843,371,499,438,187,333,378,484,285,915,140,907,067,
600,531,526,177,871,370,353,334,848,398,452,629,036,371,950,946,572,781,707,
586,197,073,411,982,308,463,075,789,777,168,212,752,950,182,434,063,075,708,
137,343,438,302,131,448,386,352,497,668,088,195,887,760,504,623,011,638,958,
082,285,220,724,360,045,881,257,528,839,008,938,916,047,298,015,376,259,260,
419,138,365,434,816,042,898,424,264,900,296,880,635,118,189,511,168,776,586,
511,717,309,539,467,617,467,499,051,757,334,340,470,357,842,650,299,784,838,
545,898,416,075,142,361,760,912,638,306,240,094,532,269,472,511,503,151,823,
250,704,437,006,671,660,097,767,476,853,657,843,900,320,548,446,546,829,664,
407,197,066,236,463,230,406,013,029,856,854,499,336,179,701,299,686,776,479,
074,813,627,342,195,056,694,975,849,217,670,635,763,348,115,043,061,605,427,
959,549,925,879,997,543,288,028,744,890,296,657,875,264,335,583,144,438,166,
581,757,707,073,366,149,348,878,049,246,074,724,509,364,497,500,130,584,385,
301,522,997,716,081,061,194,351,335,218,733,474,386,087,549,760,583,954,131,
635,089,776,148,065,194,466,865,716,470,998,542,783,028,562,706,092,136,477,
948,701,213,709,538,583,194,707,055,435,412,800,294,042,580,735,680,232,846,
313,194,099,453,823,969,186,247,538,505,549,412,070,095,442,205,550,349,627,
107,515,148,668,677,619,859,307,344,475,271,018,369,526,272,095,910,935,641,
451,039,963,550,397,663,901,890,278,211,997,103,908,224,082,203,941,365,966,
115,543,757,503,161,159,010,385,363,376,790,157,686,269,260,769,983,943,875,
803,508,212,611,435,413,582,676,466,954,041,881,092,202,614,910,764,534,931,
632,239,900,606,385,196,805,926,438,265,672,386,390,216,130,323,609,373,736,
151,964,111,460,813,152,125,801,580,868,740,237,459,740,789,500,923,382,862,
128,402,357,474,149,639,139,508,218,568,455,622,698,937,627,275,018,664,576,
971,359,042,258,871,111,187,708,240,619,530,636,742,834,875,694,899,656,467,
864,455,568,684,748,429,737,828,166,193,541,837,476,780,524,501,119,011,251,
696,702,002,049,997,175,296,944,185,029,081,660,135,727,206,162,727,564,443,
972,925,256,066,830,323,103,719,325,650,383,936,844,533,881,243,891,952,985,
568,135,814,027,144,252,729,037,681,062,073,606,624,133,276,345,880,961,599,
193,522,711,855,454,657,137,817,529,072,853,940,967,112,085,660,117,973,207,
573,195,045,121,001,186,169,495,114,296,260,573,070,578,641,111,341,887,508,
099,566,230,761,532,256,427,428,327,743,000,722,686,086,800,239,024,815,890,
063,631,892,297,547,924,103,362,905,965,579,219,545,459,571,732,949,322,635,
098,767,685,134,904,591,570,343,117,149,799,722,122,039,490,800,806,305,023,
984,459,726,526,532,306,608,233,410,392,121,558,492,300,981,466,083,729,647,
937,104,945,266,159,679,013,996,228,164,401,322,608,551,422,467,266,999,382,
879,943,039,673,617,391,546,873,802,079,229,532,162,121,790,638,404,332,580,
680,703,794,214,634,745,508,669,544,458,617,871,810,451,660,852,825,877,400,
422,666,006,759,968,903,569,831,566,506,599,978,067,523,725,320,767,732,061,
855,472,535,430,206,506,744,952,263,074,263,818,308,423,723,511,615,251,133,
434,530,857,468,122,052,572,015,108,917,172,981,899,070,112,578,080,163,734,
897,237,589,450,479,066,006,817,839,730,846,234,668,244,282,876,458,719,934,
158,189,741,488,435,146,485,526,584,712,162,158,879,230,098,190,279,180,225,
568,751,968,612,138,354,820,136,772,634,472,647,169,365,098,478,286,279,339,
534,900,984,301,395,737,012,102,582,436,725,288,372,498,551,191,252,648,519,
587,431,003,270,177,855,172,636,930,132,566,339,967,265,025,735,019,245,905,
582,861,819,392,397,042,384,053,085,415,967,704,157,405,414,215,761,594,208,
389,791,026,007,491,977,359,109,861,191,107,332,414,819,700,930,440,465,353,
586,322,534,813,036,376,672,815,666,554,999,166,430,700,087,599,378,222,903,
712,947,735,767,028,610,178,538,390,704,001,203,505,354,515,705,237,147,722,
128,098,081,233,517,309,157,297,860,199,519,909,635,472,967,652,166,956,074,
719,309,783,570,772,105,729,228,386,532,278,309,370,862,032,421,017,208,353,
481,184,140,156,420,617,778,422,098,567,418,201,213,259,132,754,372,383,169,
179,325,424,463,830,612,691,447,380,365,703,048,507,619,514,536,867,811,330,
515,616,963,012,499,441,071,087,037,418,731,755,684,983,887,124,649,338,157,
774,971,368,509,788,093,794,026,849,530,525,497,838,149,476,894,959,025,980,
804,436,271,284,927,391,833,922,905,352,401,833,390,575,983,013,834,233,223,
468,511,670,644,324,640,788,035,323,474,304,594,196,262,360,103,168,881,711,
447,208,919,044,176,683,402,210,132,682,937,543,454,308,229,418,195,337,132,
645,568,247,970,624,371,002,624,220,625,219,121,205,506,983,233,834,025,435,
170,154,663,822,747,432,426,058,255,213,872,908,415,170,384,323,341,762,895,
625,178,193,363,028,702,562,196,662,137,514,916,554,879,992,168,323,587,270,
236,560,978,279,412,801,875,402,577,620,675,864,944,015,875,465,530,113,098,
016,545,262,383,641,021,129,065,701,729,417,504,939,751,588,248,929,056,714,
646,704,175,647,088,842,998,379,531,943,762,167,111,828,699,489,148,658,477,
021,498,058,848,373,103,384,421,518,249,018,693,264,570,670,257,339,855,805,
766,365,083,954,323,216,396,086,341,243,770,058,283,365,285,602,379,626,545,
728,455,116,292,985,360,900,357,318,584,441,282,004,748,396,993,351,226,350,
542,001,540,620,104,609,724,356,602,051,117,719,611,690,858,835,153,142,012,
001,372,826,969,146,537,997,375,313,614,174,074,566,002,702,890,563,896,796,
091,442,915,540,446,937,146,831,272,722,817,822,432,854,487,295,704,155,875,
640,552,953,945,646,920,935,986,766,465,585,403,123,390,465,824,369,161,474,
130,067,991,655,403,086,293,580,513,011,148,686,610,353,985,985,442,602,499,
349,872,122,711,602,780,723,218,472,977,936,782,306,701,908,173,404,271,456,
833,129,663,227,398,797,571,431,230,314,984,726,357,259,086,766,257,687,453,
441,462,808,832,850,717,625,282,230,430,415,728,713,067,817,112,005,952,086,
591,686,214,498,626,716,534,608,485,648,835,145,704,397,791,885,971,546,867,
493,537,955,836,228,968,554,673,191,903,864,386,787,261,447,692,593,080,079,
378,346,089,903,785,372,640,215,012,288,159,058,486,124,898,667,305,560,692,
443,514,873,358,607,470,359,412,832,104,318,922,894,812,278,857,173,353,199,
711,663,317,609,854,316,538,512,000,989,610,887,191,490,499,858,698,845,538,
830,004,739,047,927,710,270,302,676,866,339,667,565,403,548,496,923,555,932,
098,093,278,138,356,884,224,014,310,476,815,157,339,202,390,828,438,377,692,
374,489,856,338,744,235,067,236,780,960,926,510,178,334,641,216,255,263,831,
070,089,121,746,403,918,617,168,089,346,044,274,054,335,170,162,562,321,291,
345,489,296,329,431,145,433,672,007,170,082,549,367,270,201,266,065,682,682,
906,753,601,203,354,228,121,993,007,621,233,551,712,381,713,764,115,049,558,
569,576,224,968,206,612,759,652,696,470,397,755,598,870,542,866,013,309,090,
884,956,666,635,280,706,384,734,813,871,174,318,835,176,960,036,017,462,272,
704,640,813,849,411,302,154,121,701,271,389,135,674,867,522,461,315,403,539,
790,664,280,389,809,395,487,458,718,351,103,279,479,842,988,117,778,039,692,
456,645,772,108,636,458,845,353,147,781,313,858,600,924,454,430,494,028,160,
553,710,811,964,640,202,322,352,358,626,224,175,061,117,837,522,579,370,279,
951,390,051,499,676,736,842,105,340,659,026,323,078,343,566,041,618,016,782,
581,254,916,435,555,681,640,643,513,362,311,414,837,846,708,614,103,898,442,
057,711,704,201,388,275,357,798,367,931,249,478,726,795,710,651,143,790,623,
495,218,788,882,772,515,676,912,632,453,486,986,845,884,878,953,956,561,817,
194,097,152,552,078,419,033,884,594,642,314,747,321,404,393,024,718,551,677,
450,026,055,936,036,106,257,542,616,359,337,186,060,088,810,597,025,610,549,
673,553,850,543,763,726,540,966,191,099,363,345,194,458,639,908,110,808,782,
810,442,873,096,686,514,817,453,514,734,829,160,678,912,529,129,262,609,444,
581,825,453,766,725,814,099,740,623,341,048,330,451,076,027,808,987,960,443,
855,199,891,260,003,571,250,390,313,089,162,576,144,769,290,329,040,226,010,
293,092,294,970,491,805,117,048,651,839,345,211,961,572,840,799,678,237,956,
296,904,601,376,957,883,827,622,927,286,565,733,581,266,242,980,106,268,275,
467,350,490,074,930,344,124,583,008,999,231,823,276,093,507,209,469,124,648,
916,409,681,619,545,974,932,402,645,388,707,418,669,026,080,520,423,421,804,
083,394,435,773,518,081,010,026,001,733,854,384,601,673,465,911,384,282,111,
824,977,786,613,903,244,533,902,620,266,483,841,439,804,737,057,901,923,435,
692,683,748,975,399,613,927,037,951,518,407,649,423,902,618,184,194,857,502,
522,953,137,972,208,835,918,008,166,147,594,213,647,530,472,454,342,718,910,
218,475,678,694,794,284,136,502,364,013,667,972,560,820,724,090,172,912,807,
100,279,198,557,780,661,235,020,104,922,987,638,032,081,209,775,153,574,775,
943,413,315,551,734,942,971,490,530,943,898,863,450,900,341,796,052,355,037,
544,798,943,507,007,413,393,861,935,174,741,981,447,140,360,246,101,846,994,
886,494,388,481,627,066,915,738,283,194,425,779,445,478,494,492,480,974,594,
048,845,737,626,075,234,321,750,579,649,164,865,277,504,228,454,193,793,352,
253,676,926,013,066,356,373,989,832,951,073,568,969,829,912,214,480,802,985,
627,513,881,223,899,057,031,051,376,182,526,310,249,305,699,512,821,424,325,
389,708,283,940,720,891,587,749,885,838,727,441,937,576,398,014,429,669,914,
450,083,289,702,448,923,058,869,145,045,666,327,628,412,950,086,745,841,348,
992,948,196,465,050,151,254,915,501,581,758,550,247,137,679,842,142,427,753,
766,573,727,315,236,846,788,269,396,810,809,337,437,185,905,820,864,523,029,
565,958,247,795,334,275,690,851,795,416,345,707,533,284,822,258,989,316,179,
300,014,191,046,888,140,158,835,724,695,015,575,321,623,230,530,889,636,534,
085,087,012,373,449,829,968,149,541,759,011,282,027,617,827,258,345,961,212,
445,283,645,967,157,012,034,157,788,578,397,405,333,514,082,485,154,335,630,
278,859,060,874,310,876,784,446,915,012,341,560,232,763,613,829,176,552,962,
973,815,030,879,326,793,123,441,545,042,060,819,719,093,014,422,130,097,716,
434,781,482,251,637,113,567,392,088,727,581,315,990,342,145,418,341,223,812,
180,751,224,287,047,577,317,098,438,018,854,004,971,017,020,843,818,662,173,
136,112,573,936,522,528,815,113,055,462,665,581,720,307,663,134,338,257,044,
891,155,812,402,810,841,175,663,636,859,907,592,231,336,630,459,458,647,452,
359,859,268,811,877,122,949,018,885,718,803,815,348,108,430,812,670,705,969,
149,901,900,610,229,879,348,548,905,765,760,390,099,915,682,094,277,461,426,
900,754,691,873,347,379,822,723,265,638,589,849,812,361,226,690,699,934,571,
068,896,623,698,071,470,733,311,199,104,578,696,103,324,325,083,760,674,220,
476,551,811,670,356,178,634,780,131,932,247,826,288,888,598,381,902,681,242,
024,105,155,531,276,585,099,254,915,938,487,847,314,959,901,391,690,300,400,
008,013,723,596,443,672,079,582,984,910,069,324,051,402,903,301,802,541,166,
719,880,814,913,823,555,241,435,319,511,881,387,177,944,895,557,557,024,333,
444,141,133,932,504,912,899,848,623,263,683,928,009,590,779,099,050,522,313,
685,783,252,466,397,564,197,803,479,231,255,103,430,924,067,458,595,304,735,
109,702,653,718,695,329,731,677,337,580,458,666,911,882,620,865,708,969,859,
683,664,907,208,564,573,305,475,887,758,883,170,488,465,754,877,957,598,030,
067,345,578,841,554,829,784,327,393,220,139,783,608,345,601,097,247,811,301,
208,694,241,325,163,887,948,656,089,192,837,740,276,497,045,572,595,738,395,
996,069,759,187,947,138,253,567,018,696,397,530,992,237,718,578,409,754,378,
128,270,462,706,259,052,985,104,302,183,326,450,649,289,364,580,981,282,562,
163,657,272,654,960,171,180,450,797,510,736,368,820,916,200,351,939,085,530,
847,203,935,727,876,495,075,895,102,380,788,785,080,821,277,305,430,517,962,
060,688,898,854,799,357,962,659,848,062,140,798,422,899,074,292,109,671,491,
481,065,969,357,363,393,527,473,671,434,401,239,223,445,925,484,679,828,553,
893,735,008,336,729,438,489,561,058,336,491,124,686,256,836,646,325,091,515,
071,002,407,436,317,051,759,924,093,640,104,484,978,491,086,860,657,885,376,
759,408,040,633,997,002,847,546,162,110,433,860,336,758,589,538,061,857,919,
313,015,486,769,144,349,912,159,913,513,402,594,006,383,533,806,236,164,777,
017,849,824,189,009,219,529,086,889,835,557,912,294,040,176,657,761,988,672,
101,694,998,123,511,552,205,009,455,523,577,725,245,048,020,136,308,221,020,
991,372,564,007,595,518,834,301,337,246,363,852,254,598,528,073,306,903,500,
930,954,831,998,681,492,337,363,880,609,665,437,179,720,323,072,494,587,711,
005,356,804,991,338,861,483,089,688,948,343,736,825,368,942,975,397,541,452,
216,523,750,386,821,460,639,061,794,182,786,469,504,086,621,356,879,951,488,
113,913,621,352,810,607,162,539,345,175,972,442,104,792,628,370,365,504,360,
003,778,497,407,045,939,495,113,001,067,812,936,265,971,939,370,546,953,975,
876,829,139,332,772,757,200,221,926,135,354,037,837,585,525,218,631,834,536,
271,220,382,177,174,389,334,844,279,604,520,315,634,714,306,230,379,603,676,
533,927,568,141,892,315,087,483,074,476,908,493,617,082,455,700,885,547,417,
018,080,958,329,718,518,908,977,504,029,554,338,979,973,137,737,338,558,313,
137,834,591,791,789,995,624,398,067,211,305,755,152,501,371,717,822,061,047,
718,951,491,058,450,911,564,393,037,875,845,600,774,162,195,119,505,739,672,
738,154,639,129,439,195,276,275,732,285,118,986,371,237,104,710,456,111,770,
206,520,289,451,137,177,860,560,883,057,208,653,212,993,144,610,937,500,506,
697,092,729,436,388,454,935,256,898,916,433,408,810,887,430,303,166,559,532,
527,945,547,776,582,065,691,115,541,383,072,991,533,499,094,124,067,249,027,
396,612,544,527,181,764,535,258,345,474,902,428,724,303,297,703,642,545,628,
870,689,045,895,750,926,032,800,813,148,432,552,322,958,838,807,320,011,012,
086,309,420,819,580,666,860,650,688,743,047,926,838,703,005,591,945,339,976,
750,122,742,510,766,218,160,547,340,207,502,130,632,780,150,796,186,762,365,
785,818,176,918,776,625,823,703,104,706,994,744,079,594,638,479,098,506,402,
673,731,236,326,815,547,152,969,346,930,868,909,122,725,021,827,500,484,752,
179,345,736,248,316,194,608,180,455,845,092,094,548,306,234,808,225,980,527,
823,129,771,497,920,009,538,010,133,888,259,718,751,053,560,455,551,295,066,
052,239,954,909,108,498,681,599,901,689,236,853,412,311,758,563,906,861,740,
173,391,973,678,063,915,155,968,748,909,317,676,258,421,524,859,115,800,690,
332,953,420,448,092,861,633,525,188,867,642,587,208,825,899,246,956,028,680,
068,795,605,052,033,178,086,657,305,644,992,410,963,822,577,638,232,052,803,
146,018,847,742,004,257,436,379,459,515,589,433,021,110,293,363,190,522,517,
631,331,337,933,265,015,597,350,105,271,269,145,797,935,154,870,528,974,668,
411,467,203,739,172,247,958,126,789,452,752,475,773,860,969,013,944,689,193,
641,187,639,940,476,096,284,800,814,805,462,466,880,262,535,345,203,611,530,
360,945,259,163,085,177,912,867,868,278,032,872,191,510,324,003,313,432,686,
768,736,866,717,586,270,295,792,677,047,895,347,086,384,621,069,409,685,511,
272,141,639,079,070,577,526,467,789,216,315,223,844,508,091,536,410,044,578,
424,262,664,102,725,561,328,045,911,442,864,644,470,640,657,442,514,306,171,
374,897,139,919,204,387,458,684,819,798,952,405,756,396,888,609,803,117,542,
762,176,333,561,508,186,265,067,722,098,036,500,129,079,895,147,815,299,882,
319,779,663,794,446,038,709,964,305,153,863,971,004,436,998,996,214,039,917,
852,136,955,138,765,613,025,422,464,268,389,862,500,718,931,001,791,902,498,
200,173,309,549,082,115,216,837,348,091,076,993,207,717,876,831,116,137,213,
297,417,915,438,108,387,816,389,471,778,787,000,393,946,010,832,341,720,493,
994,770,694,836,911,260,983,402,809,800,999,918,636,806,922,356,598,421,095,
005,116,747,225,471,250,897,960,801,112,485,653,433,081,056,648,840,073,664,
067,769,596,702,062,525,803,857,750,578,930,405,294,381,257,770,285,389,584,
972,962,953,605,489,318,103,306,118,908,753,016,817,420,940,376,650,237,431,
661,986,784,655,485,239,108,703,796,404,402,814,391,380,180,531,554,797,661,
638,666,250,940,760,133,635,056,346,438,288,759,204,847,725,494,821,235,743,
926,086,366,714,848,286,755,028,121,387,369,161,358,673,623,374,312,192,696,
357,599,638,291,331,263,840,510,174,802,104,311,183,920,790,858,718,818,852,
642,703,201,904,694,381,447,612,764,581,958,272,222,102,690,830,387,301,107,
168,674,576,539,649,808,208,009,575,141,847,797,716,807,245,999,488,863,848,
975,165,262,315,776,944,847,582,282,376,783,813,936,262,000,683,595,020,383,
001,543,552,331,959,693,173,821,723,094,854,952,189,232,344,766,743,036,647,
731,757,851,904,464,054,267,606,021,810,018,361,286,494,535,661,386,422,151,
642,389,072,608,864,673,802,231,245,834,339,401,053,069,825,692,135,649,642,
193,085,944,685,142,628,635,800,847,766,177,238,408,186,026,674,387,999,039,
025,271,989,201,193,993,113,108,941,381,338,012,496,037,115,770,370,570,752,
964,697,824,117,315,870,613,397,506,248,390,389,558,872,089,500,942,848,661,
790,533,541,506,510,906,810,516,730,141,993,223,504,339,966,146,019,090,629,
507,233,207,175,508,917,944,620,085,023,989,047,781,390,534,264,817,461,425,
074,114,111,876,803,867,359,309,099,370,979,959,980,412,504,816,066,197,133,
282,388,274,425,029,172,483,954,716,664,061,712,002,872,059,513,871,660,148,
831,691,332,299,773,383,472,279,209,851,075,769,167,765,329,797,248,106,620,
453,354,415,714,723,160,975,579,166,327,667,611,231,223,354,629,852,886,966,
608,975,685,628,194,163,294,513,527,124,540,315,523,765,700,467,519,461,262,
365,339,911,083,157,585,657,876,294,087,814,488,479,172,170,818,351,544,692,
902,852,177,783,553,781,181,752,343,068,220,537,568,986,021,787,486,803,684,
908,333,856,858,921,716,281,660,557,560,690,202,012,222,686,331,939,082,565,
563,528,656,058,080,827,112,353,855,117,898,783,266,380,010,470,664,960,883,
477,533,707,020,118,018,051,150,177,863,445,212,131,815,510,178,624,491,782,
342,199,474,960,312,934,760,244,180,841,800,054,967,257,157,026,128,636,322,
866,537,734,895,939,512,998,614,891,109,630,738,011,127,322,115,503,148,630,
030,992,877,661,384,381,406,995,454,415,399,905,768,916,801,733,864,964,380,
717,557,750,073,886,242,128,588,368,792,982,296,999,530,867,285,172,482,355,
397,769,338,301,625,460,543,949,068,682,483,930,426,836,400,170,498,243,646,
350,367,247,558,752,446,166,849,170,203,341,208,071,124,190,114,686,882,911,
475,204,484,940,916,955,068,381,689,853,186,622,806,362,769,605,280,277,216,
822,707,061,045,331,732,399,648,291,799,187,217,414,574,099,649,179,384,410,
454,019,276,345,003,711,011,602,349,647,332,084,376,403,634,234,274,058,996,
610,041,571,600,691,636,930,301,213,011,658,473,272,169,061,432,889,190,165,
520,315,149,816,352,985,915,274,140,983,601,280,718,655,244,819,308,682,221,
968,939,127,473,187,809,335,391,312,409,475,978,022,026,695,864,326,227,374,
188,949,440,103,825,249,477,461,758,711,070,842,615,228,257,049,655,042,207,
848,090,704,037,080,455,517,775,102,522,887,961,916,217,712,462,993,450,180,
268,791,500,918,274,181,143,771,369,960,871,013,438,365,621,424,750,016,611,
759,971,797,680,210,612,021,485,185,325,512,533,594,170,112,467,196,525,671,
468,523,343,933,805,811,609,406,726,748,288,905,340,399,153,578,626,941,767,
745,333,011,554,696,380,090,400,265,248,881,931,513,181,290,361,271,749,268,
045,418,589,200,154,402,549,674,731,174,927,733,373,707,465,742,316,075,888,
800,638,574,045,091,771,782,607,682,355,847,054,764,795,046,134,230,035,072,
039,024,097,376,407,385,423,684,755,440,214,771,061,881,475,456,026,373,628,
957,388,218,313,918,980,351,480,555,703,810,882,520,052,053,544,319,025,922,
381,272,355,379,750,303,882,457,182,573,371,495,208,618,131,719,082,478,212,
967,612,290,453,907,395,360,827,957,067,065,311,651,839,096,227,107,965,894,
289,199,840,739,050,480,865,563,989,281,292,255,941,040,987,808,071,615,414,
587,797,411,244,063,702,896,178,563,183,642,753,479,364,896,417,933,098,250,
175,873,316,831,731,053,875,656,503,763,063,504,410,040,559,247,030,399,336,
760,815,180,112,882,982,343,782,321,543,683,707,883,680,083,535,039,661,622,
215,985,790,194,652,332,476,884,199,337,090,733,384,925,472,566,773,358,574,
622,809,840,545,292,660,949,118,733,041,624,140,556,187,225,502,069,298,195,
870,992,894,775,979,568,687,526,483,439,256,089,313,529,918,494,222,740,371,
098,645,592,684,567,038,878,151,126,698,549,943,615,651,603,195,382,448,541,
826,852,173,159,140,533,503,769,141,758,992,125,944,714,745,313,518,399,786,
630,077,591,629,724,989,111,176,873,414,420,523,994,441,465,555,812,941,581,
770,383,789,429,285,962,067,820,986,472,763,590,917,949,899,354,951,319,711,
533,770,060,512,913,785,358,385,739,120,758,348,458,857,309,563,856,166,546,
990,457,988,713,992,893,366,062,027,871,057,781,594,371,151,593,801,660,112,
813,570,670,354,516,704,431,151,989,230,113,618,595,330,164,078,108,468,289,
821,256,616,292,016,933,682,205,433,123,813,639,383,304,303,858,161,277,873,
210,154,380,406,602,883,103,286,728,848,867,346,454,112,543,669,323,127,994,
576,234,102,350,767,098,449,561,390,529,381,597,897,431,200,182,937,448,731,
162,964,342,972,086,164,602,693,505,705,474,282,522,557,391,052,849,628,166,
926,176,459,441,111,775,352,153,963,681,327,868,984,090,359,389,678,262,673,
845,532,877,800,308,064,562,371,002,703,895,378,597,872,816,265,556,477,808,
886,113,578,114,764,148,727,935,886,530,618,281,588,749,171,286,927,629,319,
902,052,021,523,374,845,755,485,157,201,814,767,678,493,477,449,936,213,345,
725,859,350,761,232,085,300,221,938,230,126,859,160,233,248,535,291,691,974,
228,516,826,423,518,567,249,221,275,713,962,078,169,255,541,050,475,472,919,
871,332,892,029,626,603,257,428,190,963,826,648,109,151,657,062,115,041,386,
489,138,025,462,924,937,407,306,721,407,806,536,917,120,293,426,418,241,224,
773,808,197,411,806,299,075,133,193,323,250,459,099,824,578,619,701,863,708,
715,199,039,048,126,764,328,550,270,248,760,820,643,608,598,146,795,475,719,
670,447,878,599,897,021,726,652,820,935,536,016,617,825,391,126,573,975,725,
633,595,248,946,516,757,428,800,950,355,301,788,042,733,518,756,051,479,769,
088,805,036,589,053,844,928,449,146,897,228,018,464,814,577,178,270,186,173,
565,009,089,041,935,351,878,370,591,537,688,234,891,598,706,366,695,149,336,
769,502,042,230,207,501,112,856,683,596,472,427,040,386,450,676,934,624,895,
905,679,562,144,336,018,072,197,346,456,600,778,637,896,834,540,446,697,665,
263,950,446,379,133,452,365,735,090,387,621,949,436,935,159,038,377,874,230,
276,946,712,759,180,718,456,502,122,901,460,517,776,158,562,631,040,987,800,
172,988,877,468,841,374,562,808,991,586,335,446,052,578,409,881,295,775,227,
915,841,238,220,028,471,923,665,598,126,761,306,827,793,935,587,226,315,485,
420,286,467,301,161,413,012,064,763,423,997,230,287,349,903,448,535,545,458,
001,238,659,319,815,357,235,757,590,224,036,675,895,897,345,372,391,462,321,
628,414,529,536,024,790,437,981,302,585,099,277,052,181,279,789,346,603,764,
895,779,784,606,823,778,188,882,795,071,259,111,747,133,846,683,013,033,104,
733,355,936,557,991,459,077,327,596,746,490,740,020,876,145,693,710,217,696,
949,711,924,952,793,963,133,537,396,176,067,127,866,860,168,927,804,328,530,
276,473,373,312,468,445,653,018,848,642,537,775,487,246,776,265,416,643,594,
738,364,528,294,276,373,052,162,518,484,838,036,171,038,839,645,924,038,977,
316,119,062,769,699,739,514,859,762,732,551,925,227,444,442,994,006,577,376,
990,035,878,686,896,446,839,638,792,068,943,887,464,935,689,699,355,469,606,
567,916,079,973,802,737,454,566,511,416,934,158,042,059,809,337,737,104,658,
487,841,618,422,411,735,864,802,960,380,157,663,685,853,527,244,883,136,643,
993,267,034,939,826,625,503,054,958,122,974,879,618,625,797,122,112,850,258,
231,782,687,821,907,919,834,754,768,294,376,269,988,030,846,561,192,813,480,
189,881,382,676,175,393,621,806,580,075,455,507,724,089,169,136,633,168,488,
441,586,975,865,018,549,129,652,000,043,185,672,354,234,248,898,274,906,530,
442,406,869,075,230,044,708,460,470,487,703,630,639,381,058,198,138,120,923,
428,374,407,996,844,976,829,670,724,287,370,936,600,334,400,707,558,595,259,
568,408,153,880,568,137,486,403,073,517,049,333,000,389,278,834,961,340,942,
501,829,888,310,827,739,249,134,451,897,306,198,396,105,816,109,048,137,843,
715,182,918,052,379,190,112,804,478,834,922,485,901,376,220,420,536,795,474,
898,864,251,084,257,167,838,656,573,492,206,638,765,478,306,526,619,379,155,
047,659,940,805,274,116,697,957,245,909,710,525,098,344,991,836,299,306,212,
950,555,830,005,063,088,416,610,868,503,563,211,985,575,725,266,687,855,692,
336,194,315,033,971,018,917,640,443,754,056,081,347,766,687,427,991,623,041,
063,911,736,927,626,348,431,008,955,693,993,743,153,922,266,594,538,687,395,
128,849,087,002,260,962,778,762,333,336,255,021,861,004,018,629,718,961,682,
506,856,631,208,530,893,961,808,627,507,804,614,994,128,843,310,764,019,249,
221,036,152,687,007,262,058,066,632,142,676,895,005,044,086,782,651,645,113,
054,850,325,114,859,484,748,582,663,930,743,301,111,434,269,859,955,948,440,
198,811,120,556,666,410,087,615,001,015,938,742,600,920,080,832,116,372,197,
970,666,946,315,022,116,129,985,208,184,379,537,343,049,782,513,780,490,787,
232,587,126,206,319,746,281,267,374,605,020,629,116,775,057,695,841,217,182,
116,972,637,064,425,129,173,602,229,722,098,626,287,656,421,085,072,225,229,
237,822,865,670,650,109,520,331,228,262,387,687,705,693,499,910,975,484,643,
356,817,402,636,761,970,622,052,055,028,597,038,546,712,471,525,933,656,808,
597,161,510,572,604,026,201,847,525,530,615,116,585,164,288,990,313,572,489,
892,499,615,872,709,785,918,249,890,320,249,111,754,629,222,689,320,380,799,
139,184,734,815,433,652,132,117,160,903,693,088,462,122,408,644,715,688,257,
077,223,813,019,311,381,861,303,348,428,546,938,119,887,286,083,439,720,566,
091,846,404,134,152,658,408,787,587,287,346,003,133,047,836,438,299,700,508,
734,761,978,510,515,551,889,146,743,236,876,419,570,046,705,359,892,452,916,
126,348,405,786,408,682,126,930,573,317,823,123,794,923,612,014,190,799,968,
176,375,866,037,047,962,999,241,051,092,267,017,573,936,015,864,074,371,074,
037,539,437,391,942,201,377,140,928,093,466,090,139,024,738,199,283,244,572,
406,013,848,816,034,520,072,950,873,874,662,429,037,602,670,532,214,473,820,
802,589,733,705,286,277,963,269,253,790,104,796,863,417,278,234,557,358,502,
926,576,704,336,298,918,265,773,684,963,553,902,118,533,248,726,415,208,881,
653,337,685,675,985,893,611,983,628,773,618,379,675,679,641,590,969,087,131,
538,679,629,772,865,729,274,520,666,194,717,357,495,794,397,199,917,167,894,
628,316,120,896,633,637,283,678,176,431,176,433,284,801,066,282,687,895,034,
750,655,727,265,745,506,645,713,077,395,800,242,542,941,073,261,250,212,150,
834,949,366,885,841,217,389,375,719,771,586,058,234,894,882,401,457,482,739,
662,242,359,224,655,438,580,615,560,826,817,362,513,606,029,593,203,068,536,
642,124,516,218,673,097,901,310,407,996,867,962,228,631,210,696,022,055,205,
864,891,748,592,937,882,657,490,812,526,081,593,830,089,969,992,221,074,079,
968,570,577,929,023,809,927,072,593,546,091,573,310,954,126,925,964,407,697,
839,393,539,797,019,489,685,475,642,187,067,472,034,705,884,844,080,606,159,
993,035,218,013,620,140,500,044,206,332,217,955,769,161,002,048,909,077,746,
279,834,845,455,425,733,065,749,836,713,352,485,959,510,135,906,574,693,695,
375,705,575,322,896,952,927,701,248,517,310,914,916,691,043,882,625,204,921,
020,142,935,748,417,113,568,700,470,413,649,214,744,114,629,004,231,199,591,
456,071,931,691,550,316,231,562,976,155,331,197,270,612,174,655,756,358,315,
953,220,712,927,728,801,220,794,854,889,895,254,176,129,452,455,798,628,017,
368,178,302,797,319,546,899,876,284,471,011,539,749,733,234,597,963,885,880,
797,347,977,897,914,716,347,724,551,774,343,745,649,668,058,287,030,186,027,
821,821,944,196,629,639,912,828,698,297,618,994,513,952,299,737,403,401,778,
722,022,016,024,765,876,430,466,127,848,774,761,530,837,487,579,984,718,528,
761,487,046,718,257,663,429,064,723,882,006,909,343,700,583,850,285,548,540,
398,012,568,038,769,383,731,828,591,780,763,506,619,197,911,500,549,699,397,
144,200,797,700,329,752,607,070,757,494,946,524,020,224,627,831,000,657,052,
073,179,287,222,592,173,283,688,792,096,111,874,035,028,069,712,969,944,344,
098,289,683,168,352,636,090,398,771,941,874,130,090,015,308,915,605,923,181,
332,305,678,583,075,887,991,690,976,134,965,783,108,840,052,585,031,361,452,
409,011,822,844,830,432,051,575,685,039,320,403,872,221,219,950,640,875,440,
162,355,555,310,723,905,541,771,824,939,107,301,105,048,626,255,828,123,477,
345,512,821,281,495,502,606,891,694,464,992,125,418,791,421,351,197,738,817,
711,262,697,209,861,587,832,708,102,412,798,029,809,211,443,340,319,696,428,
300,572,578,067,800,240,614,298,653,139,216,704,717,061,536,271,282,038,445,
939,640,760,976,175,378,117,215,858,119,840,393,559,674,287,872,412,024,616,
348,202,388,089,383,207,694,587,622,452,325,784,273,248,348,555,411,012,831,
191,475,446,875,634,286,951,468,746,698,579,803,905,450,299,523,937,139,477,
615,313,700,917,320,113,885,263,780,468,389,484,025,600,856,503,418,304,637,
871,116,089,164,464,907,452,197,323,127,434,053,547,708,659,785,098,885,851,
658,601,159,320,054,028,781,791,748,753,281,126,327,454,757,133,957,727,043,
665,394,384,889,826,933,872,316,650,252,574,986,878,910,567,698,887,157,768,
623,783,369,423,302,920,026,683,102,283,085,158,289,514,354,126,434,030,756,
282,704,425,466,512,447,630,098,334,659,185,118,102,482,960,506,892,156,186,
209,624,134,870,400,979,220,159,790,836,141,516,681,021,981,126,883,724,046,
597,988,640,742,898,998,337,105,791,344,083,617,992,439,800,900,835,768,892,
368,800,085,796,444,262,208,860,534,086,078,560,610,151,068,018,979,150,128,
389,897,523,170,991,372,744,025,759,148,343,641,582,698,488,624,332,098,263,
041,709,878,029,824,311,050,180,088,162,426,571,174,273,384,112,099,275,452,
768,657,393,580,063,219,189,049,022,519,142,007,355,649,940,708,558,532,844,
228,142,261,864,811,266,030,573,804,060,484,723,496,830,565,851,837,082,504,
530,981,070,361,518,569,858,772,952,516,507,163,302,770,711,027,420,467,714,
914,680,032,948,363,296,905,548,344,659,707,245,963,391,869,599,779,701,531,
546,969,486,650,222,613,810,569,242,538,120,623,947,822,603,183,516,696,666,
636,518,938,306,201,085,242,505,149,598,042,626,065,319,687,178,067,382,353,
869,556,936,911,725,656,696,320,088,780,742,992,797,322,870,273,084,186,566,
942,416,976,233,218,247,808,729,853,601,717,687,450,277,779,070,038,384,541,
461,205,915,445,585,879,061,316,745,071,739,354,159,566,531,406,993,471,110,
308,274,652,784,332,152,287,592,655,957,324,285,057,275,829,965,464,666,198,
945,027,150,716,258,007,848,717,173,439,658,295,487,401,080,468,275,601,674,
061,737,630,849,943,865,543,171,506,412,326,910,334,623,137,331,097,235,046,
207,400,982,997,831,090,142,390,723,833,646,807,025,417,743,802,441,852,938,
181,415,753,029,693,673,328,827,823,420,727,365,885,418,343,995,908,806,561,
615,867,938,090,691,993,668,719,675,039,172,479,893,933,803,525,845,597,586,
779,907,207,015,554,526,173,104,027,488,833,307,014,838,310,707,424,898,831,
541,676,745,091,035,096,548,997,274,649,311,634,953,227,662,788,491,231,245,
044,327,992,340,162,706,131,815,322,853,945,773,401,842,429,325,042,304,473,
201,503,847,871,543,907,639,131,204,458,194,904,708,192,215,927,461,254,702,
074,316,108,445,316,902,785,295,731,760,638,075,046,245,138,115,923,690,249,
177,069,984,113,291,044,263,130,102,263,335,820,745,715,903,836,463,349,454,
261,758,955,395,758,465,684,918,147,092,007,382,664,818,158,684,517,904,804,
164,625,214,063,577,610,333,253,768,240,805,066,451,452,347,997,902,849,640,
674,015,464,705,890,980,952,274,714,609,831,036,773,679,658,023,340,667,743,
456,915,392,267,812,035,039,749,057,378,327,495,677,509,510,214,593,660,349,
772,032,620,123,819,839,381,469,742,614,356,213,980,055,065,448,707,125,838,
540,019,583,341,198,702,153,877,313,004,403,793,202,904,992,220,410,915,395,
030,605,329,481,229,640,811,581,904,448,034,120,422,259,766,729,508,138,990,
682,356,103,382,852,249,012,570,325,716,002,450,713,046,775,133,787,164,196,
035,121,700,451,966,877,685,230,185,070,140,029,870,061,202,266,852,578,686,
240,902,339,302,832,636,353,382,339,311,635,949,221,281,381,169,952,802,388,
044,169,589,520,643,537,286,494,966,551,937,804,795,637,234,619,570,775,530,
925,694,614,418,124,043,538,876,895,001,328,589,921,147,441,941,419,702,510,
526,716,004,166,264,302,246,592,809,363,862,155,270,119,363,138,135,003,732,
295,222,596,237,237,575,066,330,814,513,076,436,942,955,516,353,696,537,868,
732,480,451,343,829,367,588,255,600,442,169,381,641,866,700,273,418,435,929,
640,270,393,740,041,420,640,792,069,084,061,121,879,829,763,145,937,033,560,
822,368,720,461,527,949,554,861,663,728,550,154,553,411,279,004,484,466,666,
445,589,835,969,196,452,167,310,099,434,385,322,964,635,538,515,825,519,992,
038,921,143,842,740,757,508,434,302,664,386,308,356,980,185,797,248,752,010,
167,896,414,247,697,912,555,785,884,265,387,903,920,623,792,432,539,862,480,
063,034,692,225,183,953,779,327,011,217,802,473,088,344,043,580,597,940,266,
652,784,822,477,305,428,304,423,252,464,368,834,241,383,301,447,859,479,265,
202,768,117,690,609,843,425,947,099,443,822,352,050,309,303,773,297,379,306,
139,482,733,578,243,403,718,774,165,526,180,212,044,666,678,848,333,163,665,
808,493,132,086,557,240,011,322,671,440,317,188,300,096,302,813,489,285,613,
739,252,870,500,187,097,390,522,022,211,119,403,433,768,598,870,044,336,246,
744,108,168,384,287,510,371,672,863,061,215,623,590,427,602,823,716,908,757,
561,898,442,354,297,751,450,004,663,515,727,002,407,233,757,942,979,573,531,
371,594,036,976,510,758,421,389,559,624,423,673,116,525,952,910,105,565,273,
779,522,469,923,025,023,059,335,321,087,985,645,185,422,044,010,141,495,793,
681,607,775,987,315,626,892,764,182,840,470,449,416,148,795,598,113,047,138,
880,140,629,335,788,898,631,438,701,099,768,823,238,314,854,322,235,581,742,
689,102,765,072,089,785,690,208,394,005,943,302,645,809,352,051,714,335,657,
024,856,788,073,491,202,348,358,493,911,977,246,314,094,999,999,369,881,401,
687,622,222,031,321,243,645,183,344,465,654,286,173,609,628,233,064,192,732,
658,661,516,971,240,383,874,203,702,113,096,580,885,485,416,787,422,646,562,
856,480,791,202,954,151,313,655,050,906,647,209,626,106,642,889,949,086,854,
615,266,241,681,832,767,892,274,226,437,499,528,921,755,554,250,154,921,652,
276,399,499,650,688,628,025,416,285,562,696,174,677,232,455,796,581,042,080,
140,956,856,849,157,061,929,504,198,165,355,417,221,470,349,413,007,498,535,
802,383,902,267,332,426,908,769,111,303,972,475,503,335,082,555,623,240,186,
160,629,615,011,964,829,311,400,557,857,930,796,096,714,436,426,837,691,561,
534,477,299,317,883,250,226,137,474,516,395,799,922,805,884,643,128,950,959,
614,957,681,979,534,217,554,484,839,162,449,323,278,797,263,662,217,574,013,
350,210,157,504,945,791,644,260,417,893,570,053,327,558,797,840,697,813,514,
023,035,977,907,703,821,348,402,807,602,261,575,679,217,782,568,091,685,163,
424,964,809,536,581,335,558,442,746,969,028,293,291,186,295,522,840,297,946,
936,960,312,857,645,713,584,041,258,973,427,909,529,981,105,872,453,548,591,
618,045,343,481,872,897,827,146,397,904,248,531,740,302,728,857,142,707,808,
541,926,928,081,722,943,409,709,742,276,166,325,338,864,714,370,878,593,330,
856,368,604,997,971,870,812,847,289,638,494,155,157,552,210,929,912,936,874,
130,489,841,558,662,782,175,215,020,144,543,644,165,718,794,770,207,262,281,
150,459,864,725,781,431,426,654,784,350,831,577,703,162,201,857,309,917,373,
459,975,603,956,935,704,313,914,559,109,961,545,725,340,920,072,186,206,965,
265,847,765,221,763,878,395,057,341,806,893,997,657,050,708,497,335,123,131,
019,486,325,804,829,517,369,417,247,600,021,368,295,121,814,669,235,855,215,
337,879,100,861,749,113,598,532,503,794,373,065,174,766,759,614,417,615,012,
614,911,857,344,185,142,162,030,495,397,251,557,541,691,989,467,224,756,591,
011,864,781,187,850,725,610,117,967,477,932,034,668,240,450,676,167,146,562,
897,435,291,160,980,399,427,472,258,006,144,354,441,008,544,741,725,659,214,
462,446,949,658,388,759,245,644,265,573,218,319,391,743,244,954,138,116,886,
018,558,005,037,612,094,925,341,134,742,301,943,774,622,209,935,948,206,783,
693,671,508,641,494,654,901,932,318,158,731,403,790,319,905,680,239,112,193,
236,698,879,790,692,181,774,585,804,337,427,842,100,089,095,169,587,643,905,
597,359,579,814,304,937,591,901,374,324,081,785,303,757,381,921,996,520,127,
434,892,037,922,022,778,114,487,792,018,436,836,764,064,632,010,264,297,987,
517,684,501,766,154,977,588,581,392,084,830,060,670,393,818,405,293,679,168,
959,745,700,366,490,432,055,688,247,902,186,285,995,155,184,861,551,868,945,
092,744,295,747,443,592,719,101,405,320,226,834,114,955,460,950,768,353,516,
024,699,513,435,683,513,298,345,410,155,410,025,386,430,183,322,991,036,635,
936,047,039,391,778,877,712,251,466,422,703,289,819,104,036,033,511,542,386,
746,083,255,838,899,886,258,077,692,478,656,469,474,631,898,545,255,356,245,
123,615,988,466,069,128,647,122,884,321,633,936,568,036,510,069,139,874,148,
635,335,425,585,613,735,881,489,416,593,472,865,718,163,394,873,550,409,967,
012,039,112,110,947,478,483,109,053,015,069,187,554,920,719,079,415,465,867,
394,872,639,893,273,860,123,861,252,166,009,884,754,620,423,294,455,551,218,
802,168,358,524,623,859,705,580,840,476,387,613,853,406,216,356,590,888,870,
772,996,721,491,845,581,138,802,448,125,980,204,379,644,143,846,511,370,181,
946,444,099,753,723,357,416,678,753,217,228,854,729,505,876,477,024,369,113,
897,853,796,477,463,666,801,458,565,191,411,423,688,356,126,520,752,949,359,
819,189,125,216,283,258,376,661,263,706,099,273,502,707,736,810,706,871,389,
115,827,051,944,750,261,159,777,240,964,098,478,806,416,747,520,931,889,210,
504,481,301,916,174,253,787,241,503,517,654,876,458,596,938,816,034,805,980,
965,634,780,932,576,005,944,448,985,233,758,340,687,849,716,214,008,504,335,
039,694,683,303,890,948,651,461,689,558,647,288,997,004,624,800,523,732,871,
998,971,868,393,529,970,367,017,020,945,825,470,277,964,606,307,302,782,275,
347,536,614,473,972,085,332,555,392,410,249,532,969,221,859,460,741,002,485,
422,680,894,558,525,574,970,214,055,238,462,650,220,822,032,519,002,187,823,
550,956,695,602,647,807,623,598,024,925,646,050,384,324,591,364,252,727,994,
606,668,350,443,486,757,566,936,684,171,669,056,515,242,639,039,278,342,708,
590,893,430,133,005,526,094,261,211,867,959,411,193,371,760,369,507,998,439,
752,201,168,083,686,625,101,503,697,251,718,942,320,595,081,509,053,087,196,
238,108,091,741,469,578,235,067,870,276,889,829,750,330,850,436,295,598,447,
060,873,181,565,610,305,191,242,294,151,817,255,167,701,303,550,585,367,591,
081,120,804,758,169,645,454,344,386,327,028,681,487,608,544,621,255,134,365,
642,929,868,061,210,958,137,897,701,238,306,142,235,379,595,126,304,920,662,
999,667,914,330,254,746,317,257,740,403,789,727,779,757,995,394,768,842,725,
208,369,929,194,405,505,749,334,676,067,980,002,357,513,775,016,901,005,777,
042,526,168,031,987,375,008,952,255,864,892,178,717,185,221,597,555,427,904,
027,750,334,608,648,590,313,903,192,654,544,563,950,559,115,051,115,978,881,
967,917,234,178,252,769,448,394,085,754,790,750,971,741,573,638,882,909,556,
621,592,487,758,999,733,461,064,097,654,560,796,788,743,900,738,677,527,136,
571,178,762,401,585,981,335,802,461,555,956,183,164,237,870,363,129,839,004,
470,341,241,839,069,295,501,102,824,732,592,519,359,654,083,477,596,114,590,
841,621,328,917,723,642,075,582,620,060,024,858,291,251,674,816,340,127,526,
487,381,215,511,295,465,150,184,090,727,120,039,136,550,908,701,598,105,985,
323,804,376,518,009,735,830,258,392,348,049,173,345,775,774,457,258,068,801,
301,531,356,153,526,053,059,312,574,182,643,791,791,381,941,358,754,646,215,
869,834,269,538,232,585,488,602,705,306,897,498,810,882,645,860,429,212,155,
312,263,772,360,513,194,855,109,847,703,106,160,866,839,479,839,393,079,251,
737,258,863,184,615,678,175,060,632,173,322,881,006,262,676,938,927,849,945,
674,361,442,215,775,516,879,695,613,483,590,840,279,697,884,588,890,015,309,
505,915,246,939,986,435,023,128,809,881,074,330,665,672,744,136,034,089,287,
751,272,556,107,514,508,116,427,837,555,110,119,006,032,405,131,693,749,194,
354,905,636,574,390,613,539,364,354,605,038,540,417,432,353,228,272,132,763,
070,304,114,049,870,979,505,433,475,526,527,879,440,435,803,530,531,729,760,
392,204,059,086,182,196,221,096,999,605,799,104,465,600,571,050,957,572,475,
905,167,989,110,831,688,166,511,170,842,089,394,669,084,258,532,490,008,021,
484,466,785,811,212,800,709,812,505,222,986,950,682,225,593,133,051,019,598,
443,479,062,058,890,069,486,339,931,122,566,934,538,814,397,398,853,232,476,
768,612,816,129,970,025,967,739,758,308,851,640,806,821,867,957,832,877,734,
998,495,070,939,047,404,646,821,675,805,632,809,646,725,321,050,890,998,148,
382,896,471,169,798,894,956,836,327,536,138,968,457,794,083,845,333,126,931,
581,855,073,084,943,485,206,855,802,290,259,635,672,705,387,226,156,131,754,
089,161,594,139,310,046,033,311,020,206,166,055,659,669,477,675,682,742,843,
876,657,903,531,486,444,891,452,563,279,463,981,821,610,899,638,015,260,069,
630,044,916,004,941,706,443,924,281,569,220,265,153,386,512,871,315,341,738,
085,212,495,049,814,367,419,839,940,336,046,915,030,008,496,066,041,359,799,
087,535,398,247,329,588,014,531,190,898,076,871,480,856,774,947,840,381,943,
617,434,667,449,386,659,409,927,541,303,804,667,026,457,159,857,234,556,765,
366,369,307,368,005,357,977,333,822,840,198,261,389,468,455,292,410,235,875,
849,615,826,068,380,638,683,554,744,557,070,246,231,189,699,915,982,642,883,
044,362,864,306,664,600,245,072,146,420,675,840,121,732,171,711,001,378,135,
187,372,682,353,415,993,917,952,866,473,195,958,385,443,292,694,459,618,520,
361,802,439,099,842,086,791,203,548,500,380,867,806,311,080,276,420,146,733,
273,195,469,195,370,133,186,891,534,791,616,618,886,097,483,431,709,765,654,
661,702,333,376,183,854,052,696,072,943,302,664,936,203,576,097,058,255,775,
993,870,777,756,751,185,701,011,093,530,520,207,931,399,557,400,328,536,419,
360,063,501,482,412,970,250,750,183,098,190,450,807,966,043,051,382,498,378,
702,678,495,193,650,885,378,909,578,733,640,350,617,611,541,570,293,417,480,
011,784,682,400,467,370,941,026,428,955,066,787,649,861,761,502,503,074,474,
137,616,907,208,187,020,589,395,043,554,151,376,841,789,073,448,429,348,235,
751,788,212,081,729,124,183,982,382,897,030,010,121,555,997,469,067,605,891,
142,892,765,196,265,830,013,345,371,867,619,089,449,191,481,291,663,639,131,
466,539,993,589,231,428,414,461,206,371,312,615,122,495,601,858,038,733,504,
996,286,867,439,406,620,049,336,432,002,725,353,905,394,866,589,588,600,125,
219,787,195,934,140,074,763,060,957,323,818,520,382,363,944,340,015,145,121,
278,895,345,269,128,688,955,983,044,675,393,045,048,544,094,520,328,051,639,
033,160,777,725,701,290,056,145,888,548,660,494,076,429,075,845,011,588,374,
809,223,953,741,620,719,748,087,824,550,974,924,788,953,221,848,625,575,272,
587,802,088,915,592,183,097,998,414,332,574,663,087,289,425,269,935,170,642,
221,581,781,149,095,961,749,787,545,731,638,597,763,780,873,802,486,615,626,
102,266,871,914,657,748,000,791,363,556,415,881,331,168,035,957,856,845,446,
206,144,968,677,179,883,716,631,263,630,984,755,549,868,557,772,877,617,508,
006,486,912,240,984,224,717,594,295,215,206,530,969,686,325,128,728,289,864,
111,587,726,277,866,191,096,995,934,964,774,283,065,789,251,981,873,761,471,
582,030,833,148,849,011,069,533,833,786,895,438,884,669,265,605,736,710,388,
632,707,047,269,570,657,588,550,992,518,038,183,170,915,915,871,866,406,633,
728,570,295,763,170,522,652,741,131,237,961,479,096,760,345,970,766,151,610,
780,958,893,608,424,190,559,643,011,485,813,619,099,893,830,012,181,382,886,
084,468,409,171,169,967,694,191,048,035,696,980,001,788,442,136,199,359,937,
861,321,773,969,127,758,848,096,832,092,300,775,198,552,211,288,583,074,850,
814,806,722,535,414,359,946,988,890,103,573,883,435,032,664,002,128,955,026,
351,675,508,976,948,202,384,647,875,662,117,614,860,079,078,893,697,598,112,
772,346,074,865,109,490,958,199,880,495,025,310,619,090,593,555,740,587,146,
077,198,846,851,043,627,002,033,062,752,103,211,627,559,248,658,724,873,171,
320,007,111,931,840,418,199,459,825,357,473,927,162,210,384,453,869,702,439,
639,423,686,297,318,044,721,686,373,720,227,657,267,219,883,209,568,992,293,
443,196,086,733,628,788,245,633,878,493,643,667,269,784,641,924,640,214,968,
798,484,171,524,693,135,198,996,326,188,607,646,008,655,714,185,293,132,676,
962,595,966,241,570,633,678,247,921,323,041,833,574,475,052,215,168,019,948,
081,856,713,777,452,849,650,602,812,783,109,994,113,134,620,016,302,060,964,
737,961,388,446,727,918,883,846,008,399,425,114,025,338,912,938,193,372,883,
203,203,970,866,563,232,362,428,308,152,607,371,910,335,841,179,982,381,841,
493,804,473,600,760,510,414,743,178,314,533,715,675,184,105,958,619,814,453,
546,247,043,369,815,095,819,987,384,424,720,241,001,208,803,059,961,509,899,
580,448,633,007,904,423,324,031,494,701,837,502,892,912,809,749,726,562,557,
812,769,391,187,142,963,291,442,579,261,248,602,220,407,392,921,063,858,457,
851,273,701,284,269,097,372,064,417,554,527,027,706,860,166,577,294,852,146,
074,060,915,617,346,541,981,966,270,385,435,442,283,525,241,985,029,280,902,
145,567,066,738,964,659,562,435,776,997,072,933,086,737,240,240,316,318,317,
355,436,045,537,550,714,838,360,487,944,479,384,907,031,639,191,191,313,244,
321,110,841,601,826,142,897,253,165,335,899,999,606,331,317,257,210,552,414,
448,865,637,900,579,205,164,827,492,166,337,161,309,423,225,087,953,267,177,
737,856,671,545,902,306,281,066,866,325,485,841,599,761,095,224,043,063,835,
157,883,167,585,900,027,746,398,371,108,153,627,066,737,909,756,869,368,743,
373,122,161,176,676,343,414,472,570,027,169,929,709,993,893,921,663,022,320,
696,673,492,163,821,099,534,208,278,468,624,336,648,622,823,374,400,209,135,
569,547,546,662,128,216,611,529,413,725,759,336,263,863,339,825,647,905,974,
486,569,585,803,987,906,085,612,875,227,576,491,872,676,686,439,418,736,564,
920,142,455,752,016,801,750,295,832,567,173,492,682,933,126,016,171,190,654,
858,639,774,075,649,983,457,939,841,835,745,737,591,023,185,865,233,464,895,
590,792,324,638,726,736,297,377,757,282,250,274,262,658,282,929,670,295,563,
015,195,917,179,926,171,536,210,973,559,165,164,145,303,691,979,415,310,349,
902,924,806,276,521,841,665,349,085,117,620,826,595,060,199,859,429,749,260,
616,997,855,452,696,396,596,830,198,916,373,513,795,923,554,377,191,790,247,
107,109,365,684,421,208,736,033,751,877,755,478,180,781,991,709,543,821,468,
947,673,893,542,649,225,404,358,193,069,799,538,222,656,958,092,257,190,852,
451,763,408,007,560,737,413,819,511,072,359,205,856,985,308,475,884,086,151,
944,169,026,358,346,866,705,409,599,670,152,525,487,451,940,796,126,438,085,
003,266,130,176,905,900,804,493,009,566,079,257,970,984,619,697,885,611,405,
009,720,183,095,931,197,990,191,650,574,136,373,101,681,829,699,524,194,838,
071,254,168,035,554,748,394,042,594,598,672,792,967,097,731,069,120,085,705,
290,055,447,080,679,296,919,041,171,415,332,177,580,016,531,663,454,270,895,
562,599,877,621,910,703,979,038,930,229,710,363,689,879,288,047,242,382,063,
471,245,652,106,271,326,691,869,829,640,751,944,186,153,878,429,711,028,895,
099,628,005,648,948,876,895,764,365,378,604,988,617,183,757,897,053,270,930,
239,048,492,947,251,794,336,624,427,915,840,150,522,783,638,968,227,928,069,
079,787,836,176,217,717,707,622,716,705,176,538,697,867,500,259,838,657,176,
833,075,457,767,164,183,474,682,064,457,779,678,213,605,218,879,920,363,721,
853,996,021,941,055,625,680,746,158,318,222,868,424,031,217,825,527,392,840,
907,532,667,558,692,947,810,846,077,161,925,829,680,981,032,474,392,090,194,
172,334,130,615,268,697,240,635,832,543,911,465,253,405,335,463,688,053,512,
841,922,796,126,746,794,251,626,150,496,727,969,136,127,806,901,641,514,421,
523,604,005,243,448,343,525,586,514,984,572,312,050,187,128,677,712,700,696,
946,571,714,457,888,405,334,369,775,203,354,580,908,713,030,265,674,814,935,
616,893,894,718,425,363,793,679,714,733,640,876,664,547,387,307,288,586,418,
494,379,132,348,258,919,019,474,192,764,924,419,462,562,118,823,634,554,790,
958,942,715,641,344,766,697,030,175,966,791,066,283,637,623,751,306,346,939,
752,949,015,133,369,110,622,571,534,892,883,207,373,649,920,861,156,449,353,
574,537,118,442,816,138,545,499,883,795,794,123,230,602,759,550,476,407,357,
974,773,166,827,022,795,224,919,733,508,955,132,602,269,427,059,205,900,660,
471,392,255,099,242,303,516,626,166,071,258,861,903,438,105,659,882,884,844,
780,271,862,043,509,048,275,693,974,609,332,350,137,513,562,933,713,523,385,
516,803,051,936,104,046,914,232,236,283,140,027,936,723,006,343,093,243,616,
525,930,597,993,413,682,192,348,615,226,632,611,511,623,978,703,970,893,566,
488,049,075,227,225,809,541,258,331,935,086,062,367,309,819,898,128,579,865,
327,737,848,953,964,205,841,639,757,655,661,828,956,083,996,114,472,733,866,
990,116,783,958,369,072,262,869,213,687,180,198,123,094,417,421,049,417,000,
595,938,416,714,241,393,430,198,037,945,519,480,915,001,117,740,356,540,448,
701,314,213,249,891,420,500,105,206,463,503,677,977,267,731,447,328,474,468,
180,890,462,471,358,648,429,187,912,924,951,990,615,640,204,428,673,329,228,
488,489,814,247,487,487,255,811,238,245,086,384,807,481,001,098,756,836,890,
929,219,361,092,881,317,733,638,348,531,846,306,141,761,519,119,001,328,532,
783,809,176,310,838,230,956,168,161,746,859,151,273,353,558,860,796,836,943,
686,199,058,805,116,957,489,637,556,364,965,041,983,967,261,115,825,250,287,
832,964,670,243,527,191,608,939,526,753,475,771,262,065,404,649,223,233,265,
331,631,622,045,128,492,378,791,626,901,582,190,759,953,694,546,199,615,207,
187,830,264,568,314,888,623,401,638,844,982,298,164,034,277,196,966,653,101,
888,504,702,258,895,425,684,126,984,203,751,768,118,489,435,599,262,135,377,
229,014,887,692,636,664,546,381,607,256,348,189,417,513,010,130,414,988,028,
545,569,328,302,084,986,680,395,026,993,811,148,031,172,943,965,708,774,606,
168,616,593,981,050,335,608,555,573,928,078,707,567,891,365,477,382,099,870,
923,412,064,195,133,032,004,600,832,339,139,360,508,873,432,565,548,565,701,
894,685,514,913,336,777,408,271,588,435,135,878,615,438,867,349,676,292,140,
416,869,666,794,223,100,978,114,812,428,014,735,547,578,781,171,755,564,369,
741,267,873,895,449,427,164,484,981,024,653,609,272,327,599,957,943,420,393,
497,606,142,794,686,065,893,980,851,877,511,953,415,242,310,427,201,097,859,
218,832,533,825,303,132,793,846,616,007,526,708,669,296,664,099,635,260,153,
044,747,875,396,565,734,445,857,490,647,187,439,646,522,738,022,669,957,800,
537,535,323,252,136,570,098,288,873,262,284,549,262,844,261,770,056,785,783,
336,897,145,970,988,708,765,941,076,987,003,272,673,832,364,608,276,545,155,
077,901,857,520,964,050,797,249,326,234,916,078,579,399,518,885,602,388,382,
980,948,916,839,122,367,380,426,436,617,410,053,213,969,028,932,163,155,577,
996,105,984,796,534,871,475,270,381,534,336,958,325,262,339,998,362,195,398,
554,190,776,702,083,796,442,574,341,725,871,816,100,295,028,774,000,368,464,
908,977,001,442,349,104,071,953,032,151,673,562,140,300,234,689,165,616,861,
256,751,804,686,914,427,394,877,478,973,396,759,857,948,022,623,471,478,666,
882,189,450,315,954,200,299,349,141,153,723,676,550,352,700,685,246,667,067,
357,386,492,341,638,753,125,702,892,498,458,568,769,929,274,876,748,350,677,
929,950,892,926,286,177,972,155,651,442,305,499,797,709,771,338,508,002,145,
383,398,673,588,231,984,895,025,913,209,141,624,976,800,641,062,135,078,620,
936,538,322,341,178,097,751,249,637,377,458,806,829,452,575,665,653,069,548,
814,980,330,578,974,070,429,134,782,740,014,891,233,311,410,874,209,836,935,
870,782,468,780,524,729,860,279,815,486,987,210,594,819,944,346,610,100,704,
285,626,765,448,028,125,405,503,174,495,075,614,275,773,858,291,576,644,999,
019,065,591,542,861,695,935,740,385,160,248,143,708,943,150,588,510,572,413,
294,678,963,788,227,132,734,919,938,017,017,054,306,837,388,508,514,128,996,
379,925,135,339,878,537,458,871,154,861,027,918,520,479,475,323,325,175,245,
229,821,186,450,612,403,260,427,968,716,171,177,349,697,569,166,106,231,079,
176,048,057,330,129,582,718,921,541,344,908,111,241,679,155,216,225,481,396,
595,150,904,666,881,423,370,719,716,368,051,912,795,880,675,643,806,817,055,
811,054,240,264,569,376,928,856,986,190,856,573,947,044,029,797,569,181,429,
731,152,226,708,833,786,568,294,822,781,766,116,849,643,672,315,219,021,070,
350,643,974,197,623,321,057,041,503,222,186,481,347,567,408,428,675,360,942,
477,341,286,670,711,266,087,300,725,749,220,957,298,019,457,512,755,781,688,
783,414,125,595,059,108,649,434,725,369,432,114,901,941,401,273,931,474,091,
885,478,791,368,008,225,767,029,486,112,498,775,024,476,460,641,445,834,982,
119,627,851,111,593,966,225,641,075,364,262,682,431,795,343,042,855,347,432,
509,671,738,220,987,681,292,517,999,862,359,255,248,640,414,637,785,129,336,
788,724,122,736,730,676,829,681,545,068,757,678,875,579,761,872,727,005,594,
633,489,928,123,701,624,246,133,805,372,801,254,899,552,735,721,461,210,360,
286,649,188,946,225,498,071,849,827,340,514,529,215,155,545,746,616,849,934,
029,816,151,129,062,993,460,670,845,717,691,849,732,344,491,041,574,320,853,
879,841,562,313,676,391,400,401,292,491,784,601,256,293,759,570,793,092,050,
030,994,172,805,219,057,765,328,394,603,864,337,033,888,924,842,224,588,966,
531,706,203,077,876,340,084,319,733,692,079,233,477,994,264,795,801,424,230,
721,036,188,211,926,744,845,560,655,403,195,293,156,642,469,179,359,363,739,
431,539,732,750,367,317,859,383,923,014,543,496,031,220,773,910,985,567,503,
647,151,762,961,547,795,505,080,057,026,432,951,777,559,745,510,127,307,093,
487,912,736,605,632,172,514,030,056,208,909,340,019,312,235,694,876,132,790,
675,505,374,781,401,102,050,465,821,419,476,017,562,525,272,196,338,669,511,
164,081,712,021,003,582,760,694,936,484,223,363,893,151,756,541,208,971,286,
111,195,496,823,892,588,443,714,892,828,335,616,497,111,377,619,688,216,930,
201,562,225,839,116,172,211,146,444,364,435,286,587,621,480,152,428,429,835,
421,336,080,366,334,236,829,066,176,827,214,978,249,238,652,852,418,355,521,
926,085,991,897,039,273,275,117,869,495,025,029,881,035,692,166,379,197,361,
970,281,046,488,295,318,711,659,641,370,775,297,610,468,769,565,442,512,664,
342,518,627,551,503,523,371,545,752,970,163,004,637,054,823,656,129,098,735,
748,733,115,808,206,409,309,639,127,051,772,594,630,712,942,606,238,671,557,
628,070,384,413,510,242,406,226,968,835,983,711,728,166,902,775,005,900,269,
035,398,717,456,616,060,286,261,838,570,517,080,332,969,016,808,744,173,427,
464,144,905,210,507,508,501,611,172,998,276,003,457,406,181,052,606,997,136,
483,196,291,170,509,206,886,694,586,058,873,173,335,038,796,209,692,581,634,
724,353,007,588,938,660,462,199,006,973,092,744,942,084,538,261,574,109,607,
314,491,266,784,510,146,535,945,399,700,257,118,282,358,845,233,574,254,068,
881,171,202,856,306,526,843,499,383,471,226,399,249,866,749,211,704,790,928,
411,133,181,456,837,150,414,377,809,883,371,816,477,459,753,889,830,379,268,
519,512,795,619,873,373,552,756,958,560,908,402,373,596,899,917,272,974,694,
860,705,542,503,421,411,365,935,389,299,038,246,800,394,975,262,718,407,499,
648,383,772,444,943,884,101,774,173,471,636,782,468,515,947,540,236,561,928,
088,115,173,702,264,431,351,023,820,488,079,077,132,996,341,107,090,081,475,
335,136,273,499,436,819,798,272,176,500,961,289,353,109,567,019,633,725,823,
565,462,963,016,872,431,840,080,676,893,201,849,166,732,115,402,962,295,581,
712,857,730,897,765,642,115,857,434,101,372,668,407,444,815,869,142,218,808,
462,576,405,200,363,648,139,541,543,525,992,786,678,507,316,740,154,237,421,
638,581,969,651,986,720,378,487,380,467,378,319,294,959,840,378,684,685,290,
303,791,224,341,019,982,589,732,710,403,043,459,776,869,794,367,046,324,181,
204,915,679,402,157,471,470,370,176,163,474,893,405,335,291,307,804,773,411,
874,886,880,696,361,224,033,804,285,047,520,320,319,539,238,991,549,907,064,
956,065,285,736,340,353,082,732,869,797,979,582,805,894,983,944,478,328,548,
288,969,576,292,407,626,944,966,894,830,995,996,628,330,927,164,728,202,749,
765,222,643,789,399,540,291,848,851,728,641,368,361,236,299,507,598,435,967,
940,620,008,394,307,419,135,438,858,418,613,811,476,644,529,138,095,763,914,
028,383,779,243,608,250,906,256,983,029,094,472,324,063,943,499,582,598,822,
998,785,482,009,137,215,738,863,244,581,584,631,439,341,978,800,335,553,073,
449,461,333,705,187,686,260,686,104,027,882,039,467,585,943,926,482,894,023,
974,907,509,284,557,149,200,912,895,018,846,366,396,460,396,603,712,959,548,
666,560,046,996,834,392,046,308,479,078,357,326,598,832,508,815,494,209,988,
219,104,340,739,699,907,395,932,590,588,496,403,059,589,396,090,234,116,480,
738,418,812,926,165,655,468,959,560,821,237,631,500,587,474,595,906,394,711,
886,832,850,627,030,321,460,142,451,326,504,896,507,645,383,586,410,730,199,
323,022,886,821,953,138,434,264,982,512,768,793,815,851,299,928,194,879,328,
574,623,015,243,726,680,004,468,531,673,356,604,792,568,738,006,634,774,191,
409,943,543,378,220,902,130,170,639,251,280,542,274,150,261,496,556,693,466,
169,837,586,232,009,254,989,829,030,312,135,234,412,967,497,309,369,851,194,
596,768,501,016,577,969,058,593,379,314,024,545,515,483,467,844,566,757,606,
410,576,712,621,595,929,666,018,860,415,146,372,111,777,920,242,905,087,019,
395,362,018,329,272,838,598,577,443,293,440,961,765,527,855,696,458,235,218,
148,329,732,295,919,333,893,915,886,100,369,777,371,521,930,197,491,246,249,
031,475,292,414,473,162,066,651,238,485,990,047,214,693,140,061,875,132,951,
079,450,186,932,602,745,309,481,081,875,626,854,041,265,014,318,114,704,627,
350,998,023,994,413,786,656,609,969,092,833,958,069,898,851,547,321,345,516,
098,414,663,244,682,617,134,372,706,308,571,081,381,278,813,744,123,616,367,
389,749,005,390,837,736,553,016,407,510,326,404,236,561,602,126,538,861,183,
923,368,880,017,138,430,274,981,158,862,680,878,608,790,825,527,612,823,803,
761,838,624,050,684,269,152,652,058,895,988,439,448,936,683,754,424,299,137,
226,179,650,460,342,675,412,198,926,870,382,169,773,636,738,712,243,151,593,
093,974,224,593,434,469,208,943,032,033,126,421,977,601,506,202,916,899,872,
988,357,670,277,413,360,084,058,092,187,685,319,319,292,975,724,678,734,553,
665,542,462,536,798,078,029,728,993,534,855,290,888,639,256,138,653,944,375,
393,223,190,096,045,733,641,271,623,195,611,082,163,334,557,623,192,101,555,
126,175,531,795,908,632,528,627,727,202,192,031,347,463,384,973,407,709,812,
288,385,044,353,147,917,449,938,843,620,504,786,587,199,976,503,211,706,004,
124,502,424,145,010,996,665,834,468,515,065,959,385,763,868,360,888,595,309,
226,543,025,522,929,521,263,307,753,391,864,382,909,529,493,790,476,231,278,
730,943,153,689,259,905,751,056,508,369,657,872,197,982,502,467,910,491,053,
465,269,829,222,458,900,490,561,038,927,465,960,032,238,926,432,556,687,548,
296,799,310,429,194,424,471,014,341,771,192,807,798,866,427,809,176,436,297,
414,300,681,596,823,102,570,102,227,141,363,141,780,692,662,677,126,951,833,
250,752,052,361,278,566,047,360,693,880,499,475,123,880,188,572,773,608,447,
749,607,938,172,909,811,138,806,138,241,003,233,069,144,450,894,422,099,899,
499,804,875,252,224,607,379,660,599,104,322,307,435,826,134,774,827,309,273,
415,233,926,709,142,727,807,476,682,463,176,232,339,050,509,594,426,159,312,
037,690,759,959,299,507,576,260,707,375,884,147,278,462,001,145,167,800,750,
187,385,909,738,075,150,520,667,671,094,288,011,097,825,747,966,669,034,753,
391,922,024,561,213,691,901,957,633,963,840,634,624,245,136,836,385,470,510,
462,592,934,134,375,847,485,512,513,121,754,969,986,607,042,584,789,349,596,
280,210,726,286,346,143,015,431,766,955,016,211,510,684,865,417,757,124,929,
474,688,031,024,248,660,161,033,956,510,203,843,439,748,100,167,238,065,268,
761,585,409,401,891,254,583,456,544,430,872,280,152,952,249,253,233,308,497,
388,128,552,880,191,196,286,778,773,427,631,084,922,760,546,876,355,715,602,
290,769,147,320,209,863,589,953,819,169,333,542,072,407,773,935,564,218,561,
192,982,824,821,064,029,331,445,932,197,555,691,467,413,460,693,354,321,129,
638,855,995,229,166,999,343,186,720,748,570,761,165,331,064,676,089,620,009,
149,715,439,332,055,814,648,249,311,409,553,697,309,931,807,000,070,129,087,
522,173,805,066,768,500,617,417,470,999,105,934,022,837,969,571,637,425,415,
247,179,930,489,505,685,040,105,338,574,407,205,263,529,996,548,270,320,087,
328,016,350,805,450,485,293,352,355,433,257,238,217,290,500,157,615,244,090,
535,107,665,195,056,357,924,404,886,942,776,411,828,696,691,345,444,521,926,
933,750,052,714,636,039,044,656,620,862,066,569,432,069,658,645,734,980,260,
960,379,303,117,775,137,621,987,291,194,900,026,766,974,254,331,616,379,399,
420,476,836,798,234,753,675,232,457,556,286,544,942,326,120,344,100,313,532,
266,802,849,312,460,748,110,934,891,579,988,996,592,708,487,921,736,190,256,
783,304,087,968,049,224,249,999,157,971,960,326,179,521,606,013,705,594,630,
852,722,570,318,718,802,259,447,081,177,958,998,795,651,117,720,426,945,742,
160,281,314,299,353,007,354,292,139,525,380,205,516,859,163,199,125,157,920,
947,231,730,877,059,739,798,701,109,157,615,376,560,325,720,775,921,493,083,
389,662,273,663,205,083,434,619,820,476,930,703,140,993,208,468,509,369,061,
177,798,984,212,039,897,072,991,542,435,271,576,394,737,598,100,338,595,265,
145,613,675,052,321,249,180,580,025,805,901,693,812,099,049,128,524,321,649,
606,716,072,725,813,504,916,365,102,131,659,130,595,268,758,116,931,206,093,
396,860,424,823,704,022,755,826,758,101,857,138,510,117,348,631,633,792,594,
103,232,330,519,230,160,384,712,068,349,687,607,160,389,379,966,263,011,657,
479,356,886,949,525,826,206,156,018,181,522,335,666,234,072,723,775,408,730,
318,595,566,849,661,676,740,773,294,018,425,417,070,234,211,530,982,732,155,
175,911,127,552,828,712,969,996,612,618,632,231,353,997,498,615,974,000,792,
881,042,042,107,599,460,507,431,193,248,366,112,725,796,991,269,912,110,670,
868,260,416,951,622,180,112,700,819,578,515,261,140,642,518,359,539,103,032,
892,911,468,006,828,802,063,335,264,244,088,036,629,595,582,984,950,390,725,
180,093,672,248,433,898,957,134,609,118,862,083,688,112,499,665,449,771,747,
481,376,133,539,769,589,544,592,302,605,163,667,248,894,329,709,623,767,771,
046,498,923,422,865,158,868,350,899,185,332,766,549,786,934,577,770,846,510,
320,297,340,733,562,290,763,555,917,741,110,832,480,671,392,367,111,856,826,
461,664,517,628,359,335,584,246,336,441,331,185,561,088,320,529,857,064,264,
013,561,320,107,186,694,787,163,800,508,405,872,973,942,654,588,902,957,724,
372,650,380,320,469,317,438,881,914,385,238,964,679,027,155,367,825,021,642,
277,298,743,885,195,711,253,550,369,631,232,766,958,012,289,302,877,107,243,
312,622,614,617,503,901,373,262,413,484,306,270,931,095,407,196,598,457,979,
058,728,803,494,768,962,967,413,317,299,773,561,665,245,093,500,499,158,202,
200,874,681,662,104,503,365,507,191,320,034,775,430,603,652,745,142,875,547,
116,926,824,634,137,732,816,765,323,260,578,988,758,660,671,607,251,795,291,
451,740,684,093,116,479,241,656,411,867,852,091,990,713,157,937,947,314,588,
002,401,134,579,965,717,387,637,339,167,269,247,545,047,852,076,716,877,443,
286,145,734,413,726,467,192,172,500,132,031,675,819,098,771,867,122,573,346,
203,250,543,739,577,707,787,038,880,558,650,475,596,913,397,072,560,980,642,
946,384,644,273,802,811,520,269,501,257,940,880,508,020,291,605,271,980,739,
238,213,077,707,614,419,578,902,081,072,614,571,084,848,719,047,594,492,587,
688,838,856,580,305,068,182,613,131,430,476,352,538,111,008,505,634,629,160,
508,846,160,511,217,789,848,631,888,176,838,565,399,441,000,543,860,208,367,
836,555,258,193,622,308,912,797,827,236,799,470,861,841,511,281,453,188,451,
661,739,348,566,165,468,675,347,509,638,783,929,778,872,071,441,646,131,372,
396,307,955,291,553,805,342,206,533,821,707,400,515,700,617,979,627,795,113,
417,449,171,185,147,469,103,192,989,415,556,005,204,779,278,577,480,233,245,
474,784,635,971,435,037,687,356,816,983,769,106,420,741,785,071,791,806,847,
634,815,274,887,721,479,092,161,717,783,068,527,509,924,434,028,405,240,720,
913,893,127,736,161,077,271,863,092,982,216,036,468,545,813,116,242,043,721,
964,544,354,155,355,741,119,349,591,419,022,599,479,653,817,232,136,765,750,
449,491,947,855,270,094,492,309,861,386,104,686,449,183,040,636,905,456,791,
833,050,633,810,604,688,630,742,088,605,147,586,981,806,117,335,096,825,255,
830,168,485,933,316,854,750,511,553,722,981,641,241,843,960,123,953,634,914,
245,040,812,288,523,595,444,728,411,915,474,363,633,388,661,941,894,949,758,
537,159,108,204,165,980,389,085,764,030,762,859,121,777,294,217,571,478,770,
047,501,470,053,137,445,534,295,378,159,137,291,094,245,260,449,292,009,470,
348,547,714,888,965,615,243,563,021,214,438,460,653,657,185,545,786,918,546,
198,839,105,179,568,836,831,594,087,930,572,234,954,007,201,793,366,280,103,
865,317,516,727,528,171,881,775,274,780,272,395,909,345,688,721,062,964,698,
383,786,387,503,353,926,264,779,460,162,440,262,620,193,905,175,272,916,901,
202,892,959,574,112,773,417,163,042,222,172,212,483,472,570,841,398,294,142,
875,515,596,202,774,189,282,500,314,525,811,639,551,841,138,113,346,644,580,
510,829,575,197,411,532,783,211,823,899,712,264,432,218,994,228,337,627,471,
470,311,647,592,659,408,384,732,479,711,314,265,210,842,677,779,219,962,275,
097,926,371,687,700,247,226,658,593,761,149,537,354,308,271,752,097,730,133,
333,669,553,391,799,404,452,415,058,249,991,546,438,055,685,610,953,110,400,
149,522,954,353,028,428,903,439,343,583,450,924,325,133,831,317,084,752,917,
269,338,708,139,501,673,306,048,192,340,545,918,286,735,064,233,479,384,333,
749,894,316,710,119,319,169,438,613,939,649,041,752,518,703,411,607,830,701,
238,976,195,326,307,294,995,960,660,414,639,388,883,215,500,360,354,484,821,
711,145,544,788,269,572,323,379,285,409,254,594,863,662,945,548,603,254,952,
117,019,308,436,992,395,404,701,776,693,605,778,961,834,191,852,791,123,807,
356,604,268,401,535,735,920,162,132,217,470,046,513,436,402,304,131,520,344,
055,859,848,813,568,586,993,534,163,059,822,419,492,184,508,159,534,787,240,
431,555,864,979,948,111,455,352,304,253,778,361,468,182,255,123,038,526,038,
413,184,446,138,756,544,472,362,177,960,895,594,328,108,419,498,131,386,311,
304,395,618,510,739,250,967,614,700,569,129,156,249,478,694,495,226,719,120,
546,748,888,081,209,245,484,426,423,911,759,057,535,683,436,870,659,549,361,
228,124,206,837,340,648,481,094,248,999,349,171,596,506,048,168,955,259,700,
301,827,435,046,335,925,824,313,472,984,447,705,612,870,989,985,112,178,061,
475,026,475,983,049,140,537,570,055,539,895,656,046,336,270,876,637,951,968,
831,834,495,291,911,033,602,250,607,412,119,059,357,179,215,932,042,768,073,
542,766,278,615,679,561,779,780,066,089,462,295,205,824,542,717,711,432,858,
310,870,461,005,171,306,683,346,353,692,929,525,307,978,085,270,634,023,253,
390,820,443,380,079,940,198,092,961,317,293,648,361,788,439,906,806,423,631,
741,658,107,674,118,171,644,306,371,997,499,188,240,419,186,338,578,882,413,
812,849,640,397,185,715,413,168,087,261,352,964,481,200,083,460,686,361,170,
340,498,470,193,325,086,443,465,484,830,298,804,143,385,362,159,020,490,510,
764,905,932,389,600,314,862,451,591,421,766,149,804,755,245,945,145,467,064,
439,157,016,116,988,936,303,349,682,093,435,787,462,013,962,000,739,744,599,
711,144,439,772,136,718,434,110,295,390,511,822,513,127,165,983,683,406,319,
711,984,844,718,169,263,636,591,415,339,698,261,588,044,483,926,930,995,498,
373,398,365,575,729,511,664,312,966,979,082,981,009,396,691,500,205,219,740,
210,937,001,471,129,050,248,851,494,742,304,149,864,008,357,602,395,096,377,
660,588,299,673,640,294,995,972,735,918,688,896,323,205,129,787,174,639,733,
542,004,534,894,928,332,938,899,273,686,123,658,880,605,372,815,348,375,891,
257,048,184,924,382,930,549,274,746,753,725,368,068,157,253,625,682,871,222,
832,676,456,682,309,280,323,494,282,241,422,683,529,680,744,061,273,084,315,
536,361,048,893,400,579,192,243,036,876,786,368,074,223,516,941,463,121,267,
337,841,272,571,037,857,118,619,766,593,483,133,333,534,575,797,168,641,114,
129,241,802,701,921,817,603,259,008,988,894,292,128,402,397,986,152,576,810,
524,326,237,934,595,713,238,898,215,436,766,467,225,911,756,577,148,494,671,
329,260,619,296,268,553,975,912,644,736,628,592,813,897,760,782,801,301,376,
737,164,193,490,784,005,939,386,491,204,491,074,710,672,546,508,229,876,076,
554,940,662,374,349,619,344,258,530,238,961,822,466,501,477,295,738,425,369,
593,098,259,104,237,043,265,327,380,016,649,422,799,022,833,071,938,848,570,
934,921,434,485,045,485,992,182,907,290,184,961,634,953,070,148,942,597,458,
632,574,810,034,057,314,492,550,741,461,887,106,384,878,943,945,163,306,975,
442,186,815,455,899,400,056,569,079,447,429,943,501,307,850,321,905,314,372,
871,315,236,740,666,634,278,787,022,961,784,840,814,707,880,191,669,705,191,
934,251,515,942,239,335,276,838,833,257,191,156,339,654,097,980,722,607,427,
369,024,996,357,070,851,627,562,114,539,426,926,286,220,101,448,477,817,657,
094,654,648,693,038,565,073,819,524,600,169,157,857,048,147,606,662,416,608,
257,065,063,593,901,033,336,671,138,277,723,765,474,697,001,322,393,252,728,
958,624,965,597,993,898,173,757,726,250,121,920,270,897,686,593,690,819,486,
084,938,985,716,081,116,109,514,441,321,239,395,332,407,001,609,352,603,155,
663,987,259,263,212,268,578,854,460,021,571,464,052,631,683,894,513,794,222,
340,734,224,859,636,110,252,949,131,130,184,710,035,680,861,047,856,549,740,
906,630,990,056,823,442,455,917,737,814,117,139,879,772,369,774,360,486,888,
900,299,241,875,188,704,545,960,115,657,629,367,608,514,693,688,517,505,323,
524,096,470,815,302,808,954,245,564,105,411,614,901,468,142,461,161,404,288,
740,759,621,809,521,923,826,788,877,119,813,802,992,580,964,491,120,082,960,
011,632,193,947,348,528,028,442,562,589,440,922,624,623,083,302,112,784,906,
921,132,026,971,675,385,854,137,536,084,410,611,064,952,070,183,608,834,494,
924,501,864,027,764,814,300,268,524,692,078,106,140,983,573,164,952,989,174,
460,045,503,826,783,615,061,762,798,583,646,279,769,427,053,762,602,144,189,
283,675,151,808,767,470,912,558,373,952,309,834,267,545,957,076,248,582,030,
154,962,404,308,092,478,044,290,833,859,383,874,037,227,629,253,381,630,479,
213,488,121,072,098,341,796,196,739,090,944,189,283,268,614,573,111,335,648,
137,800,961,540,096,834,295,699,072,410,110,580,915,962,887,311,568,364,866,
278,003,424,830,516,275,069,763,652,275,544,742,881,487,952,397,531,252,420,
276,803,726,525,751,692,868,958,335,315,312,076,121,300,177,265,462,007,607,
676,800,977,744,169,492,032,532,550,904,394,621,250,999,251,558,977,263,865,
369,625,558,871,343,718,210,469,265,374,925,049,062,861,265,358,850,219,728,
429,326,463,833,288,016,834,576,716,557,212,144,497,712,007,320,351,319,905,
262,578,406,202,326,502,857,041,382,552,229,870,362,308,908,157,628,535,362,
510,053,723,673,698,566,586,746,556,509,078,761,479,645,029,793,201,415,707,
364,651,102,581,288,989,329,026,171,210,099,772,412,407,795,573,996,220,654,
751,220,167,407,307,459,993,452,100,291,008,257,400,189,202,751,739,495,250,
794,717,656,397,013,312,206,643,264,110,491,070,100,438,442,739,796,127,370,
007,818,326,840,202,415,098,869,948,097,704,948,484,268,281,114,031,715,300,
543,463,168,010,331,541,752,806,237,960,501,947,712,574,858,203,086,489,875,
171,901,291,238,997,793,964,855,039,131,754,535,806,787,892,606,278,051,760,
167,764,638,860,882,918,059,277,003,505,461,818,796,716,461,736,756,743,028,
463,738,144,883,460,568,881,076,042,159,250,356,244,790,552,235,127,710,648,
581,847,074,044,762,970,788,424,389,619,610,987,929,461,640,542,337,983,380,
531,598,156,908,830,944,329,506,658,548,436,223,096,479,917,926,534,092,094,
086,551,252,428,385,188,806,173,710,643,802,505,097,031,247,019,199,516,171,
751,003,117,351,362,960,217,489,181,841,878,283,090,902,676,478,187,189,837,
215,792,107,234,826,227,874,618,135,383,909,058,291,110,585,772,806,699,196,
114,618,708,356,990,388,907,244,002,549,247,357,531,640,416,335,660,176,272,
063,233,640,232,277,384,048,896,806,846,226,084,948,293,011,378,985,241,990,
797,661,178,084,823,011,321,419,080,807,343,711,111,866,380,848,823,808,685,
572,821,185,442,581,555,910,090,407,954,408,763,483,222,371,677,096,779,297,
947,074,561,517,312,383,702,949,433,068,691,381,183,868,571,244,706,876,861,
473,420,450,302,136,096,050,995,474,327,184,193,962,782,610,470,707,870,642,
505,196,041,051,234,774,836,500,492,638,324,471,545,861,266,039,515,004,479,
833,778,011,964,112,162,708,824,511,660,677,167,039,850,142,683,658,547,082,
149,080,761,739,153,255,030,600,341,671,642,533,886,050,100,421,297,850,253,
192,852,755,780,552,277,543,947,391,737,900,045,184,757,051,411,156,700,753,
520,236,781,079,073,053,365,023,492,982,977,686,122,391,061,708,742,434,602,
739,549,023,322,977,829,635,313,005,937,366,158,389,131,604,792,495,097,862,
535,630,113,246,858,562,780,186,766,800,995,007,117,503,769,507,062,681,962,
433,749,144,752,587,430,858,880,503,335,947,685,014,507,216,057,278,866,404,
227,103,149,281,812,270,728,036,858,771,776,291,596,861,539,931,119,258,465,
630,333,919,092,670,259,935,397,033,688,630,695,556,588,679,796,531,734,829,
879,030,429,944,628,493,276,900,403,975,420,018,136,331,420,938,679,372,568,
656,716,449,569,569,314,989,359,404,923,633,634,042,164,046,473,753,623,171,
409,596,898,087,173,488,686,851,342,776,037,634,217,292,658,532,589,880,560,
011,223,488,016,654,648,013,350,118,546,957,499,174,885,140,703,404,908,574,
904,436,345,233,811,241,949,592,832,367,612,394,634,337,042,773,875,491,064,
702,974,485,571,119,803,801,552,138,589,720,335,178,647,098,822,123,039,253,
953,270,527,436,362,677,246,734,358,534,574,720,261,962,037,124,045,283,051,
228,704,555,210,772,791,136,979,506,919,228,222,084,842,502,261,922,811,767,
687,968,641,340,251,222,403,089,669,363,046,769,693,159,047,824,813,447,369,
120,225,597,169,457,374,468,056,251,233,645,508,148,705,310,057,589,758,704,
435,795,730,388,863,993,954,993,240,269,023,538,700,567,683,168,695,007,271,
603,110,552,184,342,107,762,915,647,575,087,907,810,398,089,258,615,210,598,
216,460,981,406,213,858,569,989,753,452,447,430,371,819,211,112,700,546,014,
439,209,339,472,109,569,387,754,224,768,061,859,172,621,258,759,619,369,552,
688,610,723,038,662,852,420,988,200,238,042,475,831,759,954,483,113,956,224,
884,471,549,604,955,884,150,074,232,290,297,930,463,983,444,309,668,650,981,
365,357,858,559,291,572,311,811,299,522,955,000,956,836,509,616,653,031,079,
868,013,513,755,615,629,192,115,555,857,669,334,131,275,187,814,353,950,792,
910,881,134,104,630,067,439,303,378,710,293,719,287,402,174,030,069,936,446,
839,546,699,841,894,525,050,062,252,089,061,527,543,287,170,940,187,007,225,
954,857,739,020,931,044,399,800,538,945,250,700,250,999,006,060,016,400,606,
661,978,352,911,700,366,457,657,962,698,167,175,534,773,188,276,590,608,509,
181,836,798,315,386,372,727,531,987,419,507,448,826,690,622,539,661,954,421,
469,700,360,325,126,071,811,931,493,239,098,844,657,709,421,798,424,152,503,
148,695,464,193,751,519,229,726,152,342,989,403,715,686,149,124,711,019,246,
328,674,421,509,496,372,448,797,213,611,988,181,379,211,707,416,144,360,161,
849,626,222,636,446,458,462,373,752,221,042,874,185,449,835,399,510,913,852,
709,135,098,684,771,781,506,006,803,336,740,690,177,139,875,015,763,613,560,
088,537,868,088,869,216,398,262,407,911,245,370,508,648,789,652,001,662,629,
619,987,001,751,152,917,595,593,813,753,030,422,384,818,048,942,919,408,918,
021,780,034,540,607,291,098,670,602,695,149,004,458,059,333,615,217,251,432,
646,096,574,829,532,076,833,372,146,883,674,518,170,040,392,608,549,440,151,
113,576,617,208,969,555,735,482,860,905,493,212,054,632,777,928,371,362,589,
066,506,003,060,690,660,386,411,262,261,306,090,357,713,916,593,284,801,231,
188,810,559,523,174,384,329,858,437,422,908,413,360,494,330,555,468,558,479,
363,747,142,140,052,494,818,312,040,200,094,268,175,548,688,021,320,561,886,
330,016,995,325,887,120,683,129,096,247,737,757,159,480,675,853,236,951,048,
967,851,198,117,528,005,768,396,856,139,294,490,426,426,761,351,939,184,870,
636,649,567,776,790,765,140,336,922,351,807,463,282,841,208,336,289,565,380,
636,721,726,155,491,428,261,968,541,691,256,659,524,566,187,765,327,553,824,
053,504,129,700,490,777,385,339,692,054,047,255,941,662,616,183,557,916,997,
587,706,083,658,294,355,741,130,054,505,966,768,870,154,719,239,985,110,384,
667,449,637,313,215,475,676,796,831,219,114,139,603,390,536,494,265,949,967,
136,475,280,816,508,498,170,180,101,587,427,120,709,539,070,447,514,337,743,
720,501,364,545,643,705,846,249,337,898,529,116,260,462,533,661,548,739,152,
587,004,252,076,283,552,325,824,775,959,601,918,342,815,838,568,923,360,429,
859,381,244,323,361,668,558,182,319,595,467,207,912,748,907,078,587,406,884,
766,378,853,951,571,449,519,771,198,107,888,246,644,301,165,292,185,690,742,
822,185,074,759,073,490,755,748,210,433,772,469,788,116,885,046,802,672,794,
696,394,121,812,824,374,735,792,183,492,113,285,841,810,376,684,021,488,844,
300,592,194,999,681,636,170,262,804,891,878,550,384,227,540,581,923,949,843,
577,747,344,630,553,830,953,038,634,741,557,578,860,312,706,968,316,006,574,
883,753,097,326,854,874,243,659,148,624,626,218,129,626,445,253,225,530,667,
204,125,397,420,296,002,148,639,969,934,292,390,771,589,378,425,695,212,867,
010,085,968,044,900,738,704,149,454,369,190,175,681,692,730,661,640,582,164,
160,972,273,881,549,998,978,070,489,897,199,044,124,287,216,355,570,896,975,
732,278,020,376,969,222,973,967,445,132,333,214,181,743,762,620,527,180,218,
375,623,332,343,487,158,243,580,450,908,871,499,797,712,067,083,524,467,897,
208,253,201,450,327,048,152,391,984,202,052,975,248,761,153,341,009,975,617,
729,702,708,400,863,536,065,773,111,097,390,267,977,790,198,239,560,602,106,
513,775,578,600,486,202,698,109,179,623,281,757,102,531,839,507,717,878,079,
911,743,360,114,604,092,808,022,680,882,158,029,031,547,881,548,072,030,725,
314,824,572,081,537,966,056,054,873,493,581,972,772,005,296,357,150,601,701,
273,692,910,974,079,676,224,046,502,947,722,793,949,132,271,061,551,010,411,
346,689,354,767,555,174,347,376,637,757,865,152,503,261,446,247,182,057,163,
617,133,366,040,328,643,233,694,631,731,089,910,510,938,717,749,917,094,422,
090,296,514,629,038,855,170,672,928,213,293,437,399,611,142,803,233,534,064,
917,873,060,027,737,360,558,549,303,985,098,619,799,732,462,102,014,122,991,
542,854,640,045,611,645,071,756,196,781,626,129,532,459,927,025,068,290,139,
088,509,604,255,168,185,377,770,829,559,609,878,100,874,609,271,576,921,300,
752,356,682,234,634,201,803,810,829,052,848,166,375,968,968,406,260,608,218,
464,166,820,372,692,667,173,443,097,004,587,797,995,450,199,668,348,614,712,
559,657,454,189,866,556,764,846,200,295,559,746,274,625,212,521,510,641,783,
269,980,894,488,105,414,762,672,656,101,159,743,739,539,341,597,661,912,246,
270,077,817,363,655,941,595,759,571,873,888,106,035,787,467,442,581,276,163,
875,041,188,252,191,713,012,163,817,113,377,637,277,306,529,493,851,827,573,
845,211,643,099,576,254,957,381,764,995,711,579,310,767,487,861,360,269,955,
367,356,502,490,219,962,934,696,395,725,305,441,538,394,342,198,231,657,288,
926,881,727,286,993,035,702,510,068,137,368,345,659,152,824,208,621,568,461,
663,372,038,359,266,523,911,131,971,997,283,743,023,110,295,275,496,798,200,
015,922,861,047,309,777,148,371,447,365,715,376,216,441,529,135,707,047,333,
667,271,285,023,636,917,779,063,380,783,217,178,058,625,241,134,243,906,563,
833,414,511,255,410,104,059,675,634,041,429,687,335,800,467,797,128,049,075,
342,303,091,694,251,218,298,423,747,444,911,772,305,527,703,403,446,167,070,
654,993,401,644,275,850,006,747,191,536,662,809,057,085,075,944,273,824,049,
313,293,787,536,771,490,515,345,011,555,200,362,381,801,804,213,222,310,740,
169,781,398,955,364,846,981,431,898,182,030,466,397,175,583,659,268,170,454,
528,058,611,221,645,412,669,330,714,208,756,726,758,078,040,256,816,643,936,
210,322,820,243,205,668,806,204,003,704,835,107,120,429,417,380,713,753,323,
818,825,583,548,666,303,587,332,813,816,424,911,852,567,830,142,092,108,651,
977,454,623,442,290,570,817,982,283,691,381,571,986,815,627,601,864,899,570,
909,944,848,477,644,935,155,489,185,488,537,661,806,294,630,516,232,658,454,
279,127,509,481,096,317,556,039,414,253,356,301,600,070,215,216,573,268,098,
981,432,500,825,883,622,713,531,978,340,257,935,760,674,740,905,211,281,308,
447,991,852,829,601,787,509,427,818,971,240,807,338,820,947,871,393,724,412,
636,084,115,930,305,032,309,670,379,986,712,224,935,365,265,418,501,218,886,
875,268,576,641,462,908,423,223,764,006,393,658,098,470,186,172,268,290,481,
339,462,527,009,294,606,439,971,220,123,536,297,838,019,327,986,084,528,650,
436,256,959,852,602,807,654,903,739,115,083,049,835,298,983,331,930,565,342,
889,048,555,718,436,836,952,669,599,580,473,533,383,868,287,574,772,727,964,
358,691,271,759,302,518,542,133,302,488,400,200,719,082,721,046,339,281,997,
487,053,738,147,006,188,797,018,526,587,515,186,991,322,581,730,656,543,956,
633,669,607,264,795,290,384,930,586,498,924,538,430,745,880,212,351,063,033,
911,365,752,373,616,954,786,849,616,022,515,534,456,473,653,777,947,923,651,
910,714,036,436,751,877,236,019,312,332,764,334,355,145,032,338,440,800,826,
884,076,753,549,283,370,863,592,245,339,042,888,633,173,412,419,308,923,366,
406,119,100,446,477,717,783,184,984,016,222,606,311,460,234,874,340,529,685,
072,095,528,359,763,704,111,934,768,323,360,312,157,898,142,028,357,214,107,
746,758,121,811,465,855,721,274,854,941,712,823,581,543,429,099,361,813,519,
229,529,087,606,514,721,998,871,921,369,889,622,445,936,968,803,176,652,642,
739,904,289,271,389,196,600,128,642,080,788,490,012,313,389,631,083,848,955,
498,602,642,489,219,869,705,384,473,115,368,543,965,848,403,196,203,092,176,
782,363,523,178,098,520,744,071,142,429,286,335,106,806,752,718,606,124,612,
577,229,071,276,661,093,715,758,389,574,779,612,683,449,196,747,088,716,237,
523,583,390,694,492,790,251,215,469,327,661,699,626,618,384,592,604,401,808,
622,647,378,930,045,593,316,646,238,639,081,210,675,904,473,656,666,126,476,
883,043,187,396,047,090,127,067,987,849,692,990,500,564,005,067,576,959,189,
158,890,357,186,399,479,151,508,098,059,102,521,712,329,045,986,835,671,989,
702,814,265,245,504,389,561,818,834,747,768,719,048,737,982,150,227,135,248,
947,972,888,922,354,323,311,977,727,211,164,355,894,522,593,073,364,141,893,
170,752,188,292,437,674,011,481,858,375,396,058,234,492,124,053,796,051,664,
582,848,997,562,998,524,593,254,570,320,946,863,913,682,234,180,877,253,019,
585,669,265,952,557,758,724,777,314,822,388,545,873,974,487,714,169,963,087,
016,339,242,912,889,535,671,216,694,337,841,359,593,657,650,578,414,477,672,
685,701,129,563,918,582,224,020,199,016,185,502,788,225,102,711,448,029,539,
583,893,972,075,071,660,257,917,673,836,561,965,146,444,499,400,299,567,500,
136,741,551,493,188,310,758,876,591,590,332,660,951,063,528,148,722,138,972,
150,687,678,667,291,082,370,482,668,776,365,024,562,978,765,107,240,745,044,
380,369,254,358,234,447,909,338,485,751,395,449,719,208,091,163,499,029,553,
381,145,336,839,314,618,581,812,006,426,072,113,778,923,612,235,465,557,192,
102,552,013,135,083,845,159,746,570,068,733,890,802,492,716,362,112,770,650,
577,617,554,915,203,180,698,176,635,565,714,276,094,780,220,516,733,118,254,
369,758,703,934,689,982,882,273,270,906,408,938,801,965,315,403,076,642,632,
020,651,483,936,271,286,006,351,516,048,771,229,332,173,325,293,459,064,816,
552,374,285,330,309,844,670,243,294,019,786,179,274,595,085,789,146,436,563,
107,918,918,565,129,536,945,892,321,007,338,851,904,106,009,655,734,771,983,
357,029,510,026,495,391,488,574,615,570,981,784,770,541,942,245,752,330,144,
801,827,046,609,871,091,934,980,977,980,995,294,160,286,600,958,291,725,758,
462,314,006,030,472,649,099,359,019,716,505,780,620,315,763,783,656,438,596,
595,176,109,650,864,384,636,779,355,889,870,819,733,665,307,526,440,990,559,
490,358,220,400,825,177,208,857,791,613,059,829,532,285,893,022,836,094,960,
688,261,474,564,895,253,935,573,471,838,818,503,229,786,216,039,301,661,143,
848,618,340,553,567,644,816,084,355,218,768,791,438,173,349,850,977,902,966,
527,530,412,153,341,878,648,314,077,331,284,497,736,703,884,349,233,344,019,
176,283,843,370,925,096,629,648,109,306,079,917,342,600,521,574,384,834,117,
902,718,944,128,066,478,175,789,332,445,705,907,918,942,231,110,427,064,301,
010,535,026,865,387,600,332,226,592,534,381,111,791,717,797,227,509,409,724,
256,007,374,465,336,482,534,307,808,164,877,519,981,991,238,317,870,679,458,
883,717,194,562,383,450,964,928,136,430,133,423,563,169,533,226,139,117,369,
204,639,267,426,191,431,867,404,588,514,749,716,140,078,741,915,378,995,457,
646,180,326,489,496,619,010,678,805,674,135,604,353,921,078,410,661,474,700,
123,412,458,711,659,040,698,043,255,777,993,962,602,243,929,169,411,667,772,
532,558,626,352,957,298,641,044,386,503,056,205,193,056,630,865,593,360,399,
133,150,527,640,225,026,175,796,343,993,570,637,456,497,126,828,804,482,428,
470,826,506,030,175,854,993,806,595,262,516,619,432,263,534,904,213,506,451,
065,040,998,054,380,184,199,746,996,062,813,433,255,225,263,268,528,353,212,
357,962,771,146,384,252,679,977,681,171,175,257,025,935,705,187,584,909,101,
758,342,422,103,729,180,383,466,763,914,983,387,083,931,873,508,209,000,040,
146,659,754,775,605,871,537,438,364,824,812,714,725,858,897,964,151,998,501,
676,836,501,403,161,560,589,760,726,722,871,184,223,345,041,764,126,728,460,
152,618,499,989,023,884,204,014,802,639,475,223,646,122,730,848,570,813,398,
617,244,039,266,445,470,726,721,460,132,471,288,728,786,347,598,978,704,469,
303,840,379,668,051,742,920,925,729,348,123,053,513,323,449,342,906,855,485,
294,545,404,473,969,708,002,585,036,557,028,807,992,797,872,275,916,204,215,
781,870,059,358,197,345,181,210,308,474,673,225,618,773,301,241,321,248,293,
003,991,042,068,202,702,635,246,765,734,850,646,589,612,613,668,353,337,367,
766,425,904,674,289,391,596,819,048,900,077,543,652,929,978,806,439,849,452,
990,016,876,629,794,894,317,670,023,686,721,313,387,176,198,514,836,116,245,
487,993,752,973,041,824,560,457,741,269,530,371,784,284,117,964,607,523,610,
778,683,203,328,053,783,244,405,400,361,759,970,844,158,392,676,458,403,312,
103,718,248,452,016,528,068,824,956,979,445,479,424,245,682,697,356,137,850,
154,716,545,915,743,110,787,338,710,276,211,924,529,424,744,747,056,920,684,
447,607,480,779,178,999,547,607,977,612,702,597,479,227,211,204,890,662,449,
582,081,985,974,365,722,955,954,189,978,664,508,385,975,447,936,002,983,456,
349,637,684,468,699,998,158,713,378,027,486,425,214,244,968,579,731,130,271,
794,498,949,930,260,012,611,487,374,003,709,738,012,362,010,566,803,886,626,
004,525,764,663,088,176,141,301,223,369,291,993,824,245,969,995,341,369,221,
100,540,461,481,390,238,793,165,571,171,212,968,686,525,081,469,762,653,612,
565,261,945,109,966,322,199,218,179,579,362,823,333,358,511,248,133,132,733,
617,174,635,652,800,975,106,510,403,420,046,745,236,525,555,740,124,464,625,
158,632,085,088,466,769,613,742,803,045,932,898,530,815,819,246,501,133,226,
687,166,520,455,737,769,948,433,337,427,808,427,724,632,573,406,303,239,762,
076,715,898,689,705,710,320,211,365,018,241,438,790,143,607,903,490,382,235,
292,270,624,710,333,954,734,647,048,898,922,875,076,859,623,271,753,311,421,
570,734,064,924,183,620,557,856,771,129,848,904,862,975,989,275,887,156,510,
967,054,488,748,607,867,735,141,368,834,201,809,972,078,505,276,592,735,541,
399,925,170,828,810,122,984,385,978,084,782,213,001,428,406,432,165,848,592,
491,747,078,396,880,693,851,049,035,449,615,654,900,813,724,911,452,979,723,
107,915,772,830,082,398,364,768,653,741,126,011,437,178,516,413,966,313,356,
428,074,180,430,172,432,190,919,593,085,645,022,971,256,622,101,158,496,868,
323,736,114,242,370,678,054,132,895,948,171,755,502,050,461,389,813,057,313,
086,832,005,679,492,850,112,293,477,595,234,488,451,660,974,071,799,078,798,
577,291,262,167,861,005,102,865,804,107,066,043,222,147,810,035,347,938,675,
618,261,780,768,900,541,036,339,099,959,504,026,213,075,458,439,191,376,763,
393,957,843,685,198,448,874,719,188,673,733,397,702,233,970,441,899,629,077,
266,973,733,365,610,748,046,913,676,977,134,814,886,399,557,595,078,135,084,
356,677,699,637,975,158,893,426,292,619,429,003,641,685,462,088,172,675,716,
840,469,157,494,839,353,259,827,468,009,483,286,813,515,704,010,586,575,740,
377,444,350,694,004,887,240,485,009,435,501,547,605,627,327,613,584,859,627,
581,959,658,922,297,611,797,848,684,425,482,943,703,831,367,803,708,582,304,
177,719,694,251,197,993,793,422,199,289,075,531,308,074,686,710,771,134,159,
343,215,796,730,765,929,969,061,213,057,781,761,498,296,931,223,980,311,915,
272,713,221,977,557,366,688,311,323,809,882,071,715,782,392,059,392,154,906,
140,019,111,810,170,073,340,172,174,672,647,367,605,996,976,013,320,007,201,
495,220,037,175,079,655,774,237,022,002,378,370,653,125,894,655,733,859,067,
909,124,733,262,831,739,709,695,152,369,208,351,428,194,849,253,043,275,766,
619,847,131,653,939,045,556,063,557,898,468,107,189,482,919,347,183,998,683,
443,673,967,110,389,262,397,653,533,210,583,456,051,721,758,763,492,546,004,
575,298,144,395,792,876,598,137,767,185,952,789,529,406,705,582,765,531,334,
520,078,685,864,623,639,051,365,953,934,922,292,043,331,796,657,563,682,651,
316,658,859,164,600,842,878,960,078,983,516,133,671,689,330,667,500,370,631,
659,424,598,677,737,770,928,114,260,632,157,786,498,371,345,022,368,583,337,
964,957,055,091,449,325,847,023,471,164,868,751,672,290,345,008,787,332,091,
635,407,558,290,886,403,408,219,484,347,436,741,973,202,961,943,132,228,632,
192,514,577,382,499,784,812,628,677,943,891,217,364,750,980,768,242,549,366,
954,378,660,593,444,756,541,636,149,257,304,103,099,645,796,312,467,385,135,
231,239,707,568,870,447,164,049,072,618,043,908,229,979,188,126,120,443,185,
445,279,133,771,220,772,496,043,900,372,392,488,120,546,409,230,663,464,349,
006,978,601,659,843,803,530,352,464,792,792,482,420,295,377,212,240,754,399,
623,956,864,766,390,000,718,482,005,478,306,136,524,475,943,458,996,674,759,
256,411,429,619,671,096,503,038,223,741,574,465,225,938,731,602,708,361,090,
035,752,160,106,970,918,953,686,604,293,091,215,383,154,864,154,576,524,406,
373,919,483,737,730,118,612,907,973,708,109,538,003,465,355,362,975,136,675,
130,603,110,830,150,547,986,894,271,649,403,875,317,774,572,983,569,323,775,
351,795,383,758,556,573,932,360,950,649,367,828,735,662,822,888,673,142,129,
232,266,978,005,471,669,485,465,826,922,893,023,928,894,231,535,415,416,534,
208,373,725,000,775,692,219,353,705,340,640,424,278,474,353,667,127,974,307,
351,048,133,456,304,134,373,860,203,333,410,604,668,681,855,887,609,086,292,
106,062,554,751,553,177,952,073,555,401,940,197,710,753,824,675,621,126,781,
778,837,804,183,070,570,201,623,882,788,997,584,388,614,909,079,248,173,209,
939,568,216,570,838,318,352,840,912,357,684,059,724,583,462,955,400,654,439,
722,803,621,904,541,565,482,042,674,927,607,952,895,881,628,763,645,406,714,
289,530,091,670,355,684,462,999,528,507,155,421,391,540,236,807,334,881,543,
190,535,746,395,865,830,977,820,615,696,375,578,085,606,404,085,168,842,367,
350,719,101,908,278,691,207,242,141,748,166,143,284,926,435,409,008,988,685,
147,420,126,950,847,707,019,540,136,748,966,337,140,990,016,537,558,353,283,
561,218,415,883,501,120,952,911,619,718,140,225,981,249,844,589,041,922,620,
939,120,966,570,877,854,185,095,034,867,604,569,313,649,558,719,283,979,848,
422,889,488,170,511,305,949,028,985,772,020,141,499,569,453,399,123,384,921,
342,251,686,491,025,555,737,645,004,838,100,042,594,071,338,578,763,988,899,
294,706,955,297,058,303,156,516,144,227,622,630,948,123,625,800,221,072,413,
041,276,188,368,656,454,168,249,057,627,162,798,994,005,470,118,918,314,786,
762,949,548,503,795,574,490,129,554,178,020,420,326,710,057,868,980,279,685,
611,347,274,078,663,735,624,424,170,150,547,467,853,245,271,533,944,139,852,
241,705,507,554,977,635,279,876,705,533,793,527,608,629,824,233,667,275,918,
517,551,578,255,479,752,316,093,614,310,496,007,474,944,386,101,942,025,652,
821,204,986,605,534,059,658,890,276,289,682,242,434,001,923,849,939,378,068,
317,896,859,392,367,569,621,891,692,050,943,687,872,456,140,056,146,859,622,
830,548,254,379,190,729,848,366,039,475,765,295,435,112,455,589,618,317,810,
405,321,692,648,553,293,673,822,561,609,396,936,243,712,371,799,391,098,063,
846,964,358,057,096,685,306,004,813,837,485,469,923,248,076,704,160,266,510,
856,380,486,082,283,677,769,723,244,570,273,566,019,576,271,840,431,779,132,
029,254,898,547,243,509,492,579,687,547,809,615,820,226,122,250,910,570,716,
281,877,456,052,864,068,067,967,789,803,428,283,261,752,669,639,957,185,176,
673,335,017,221,502,300,823,550,864,768,429,454,353,432,429,250,534,308,647,
407,135,571,165,088,039,182,794,628,708,820,256,114,029,295,182,536,313,135,
168,544,800,457,115,037,000,028,346,200,576,379,311,240,497,531,959,016,009,
159,323,499,061,989,413,229,146,631,582,832,733,786,122,032,109,217,018,036,
121,374,021,300,233,589,929,147,577,091,697,167,320,934,204,023,577,741,338,
889,776,499,466,744,904,426,831,475,234,908,858,474,060,617,146,611,708,189,
022,840,234,076,401,658,682,725,061,812,959,689,781,674,272,140,360,805,108,
410,666,127,709,094,181,605,434,906,169,948,369,187,113,238,321,077,445,743,
534,299,681,138,459,725,068,045,953,363,623,375,328,511,934,818,884,954,380,
524,300,692,021,193,192,022,873,049,225,381,934,177,678,349,261,998,683,698,
289,358,919,519,008,888,741,337,650,652,314,589,091,827,427,831,931,541,920,
903,255,734,438,165,031,036,261,541,837,350,224,123,474,609,722,563,635,787,
915,185,247,527,236,844,612,396,575,309,961,904,573,837,009,263,518,086,366,
573,505,594,699,622,246,173,802,666,390,071,208,818,750,427,876,148,971,956,
288,933,244,791,304,358,422,359,804,533,331,137,494,491,421,921,544,136,789,
404,590,867,211,170,008,436,829,969,926,295,399,090,447,896,567,020,556,427,
380,633,570,844,998,374,887,665,186,742,903,268,894,124,579,257,523,301,480,
010,216,542,333,693,015,849,921,862,637,502,754,820,479,484,749,074,673,453,
539,720,377,950,486,962,054,081,192,340,444,144,895,486,218,254,284,945,393,
294,598,458,126,797,679,534,584,517,877,764,462,465,565,572,677,999,464,258,
591,763,655,914,551,332,201,547,575,416,323,969,556,062,004,836,968,483,964,
838,944,022,001,480,548,200,578,223,137,479,269,673,354,985,237,126,806,651,
828,432,866,547,843,906,755,348,977,326,445,806,139,014,892,630,862,892,897,
478,909,425,388,421,440,938,348,297,549,872,832,176,363,587,422,695,416,385,
337,676,654,581,594,463,419,695,543,538,166,463,004,462,310,170,298,863,115,
061,244,390,358,732,421,565,701,441,518,097,242,053,233,270,489,907,367,404,
084,824,155,058,801,428,668,113,477,707,720,554,310,523,702,212,827,897,243,
194,273,442,224,321,711,430,139,784,959,394,353,516,098,268,328,948,683,836,
729,114,641,335,967,722,743,258,116,393,263,589,149,459,128,140,267,622,771,
566,769,150,144,045,990,726,693,362,898,142,213,002,309,877,021,160,770,975,
937,493,764,046,503,951,851,837,751,820,227,825,110,155,428,543,704,618,948,
863,607,243,027,218,465,658,416,932,570,929,850,486,346,901,232,890,018,591,
332,567,595,194,253,096,235,492,601,353,296,622,701,519,941,463,569,289,654,
700,692,782,825,378,986,223,362,494,017,356,915,461,482,436,324,815,543,609,
965,920,868,453,071,347,588,090,071,087,354,721,257,162,681,395,369,607,718,
442,271,425,966,647,969,663,447,894,703,003,282,389,477,777,863,298,405,892,
656,122,810,331,038,517,623,026,129,985,204,447,797,179,294,375,281,000,244,
045,530,320,435,703,891,805,900,114,413,601,843,209,701,715,357,830,420,692,
494,188,001,175,778,633,931,605,262,185,133,386,925,189,883,796,356,420,607,
123,152,742,860,001,515,995,032,359,728,929,715,312,872,871,055,700,209,724,
400,239,666,222,308,496,522,542,849,893,100,768,374,274,187,456,275,375,931,
273,054,333,246,940,419,727,215,403,244,069,993,750,066,541,003,527,324,080,
050,556,415,164,261,007,833,146,383,985,000,762,463,129,482,065,191,728,375,
316,129,528,533,739,328,629,940,550,731,519,117,936,263,164,578,583,725,124,
594,867,509,913,983,127,911,363,513,267,370,785,992,339,076,265,481,770,881,
329,943,658,863,347,687,456,983,643,580,872,090,269,451,184,617,532,722,623,
893,500,236,480,240,957,126,719,896,447,878,133,951,607,174,849,236,389,816,
942,656,707,094,175,287,116,778,203,787,213,990,804,775,907,431,761,333,150,
019,407,511,779,804,937,127,421,296,178,201,108,009,419,856,260,520,737,374,
711,081,408,547,600,568,857,003,426,280,993,088,834,180,875,508,704,196,002,
829,646,614,949,828,502,358,328,339,082,766,108,064,419,776,326,944,311,551,
197,342,701,525,900,162,586,478,310,339,898,903,687,587,487,356,626,669,251,
423,357,399,658,916,351,236,611,464,542,326,502,229,510,385,299,641,163,768,
080,063,971,634,112,234,186,765,473,159,707,596,341,729,661,802,939,197,355,
793,914,713,756,708,467,251,745,949,351,912,174,802,211,601,305,674,228,636,
133,794,697,935,847,205,930,998,218,311,432,583,798,071,490,790,464,057,249,
159,271,131,779,754,902,209,006,593,274,205,043,648,612,990,183,848,623,718,
868,457,621,919,249,044,819,037,149,298,763,622,134,170,489,608,545,717,058,
053,553,020,252,756,763,666,020,151,792,600,262,070,795,733,450,812,817,944,
446,100,655,701,509,585,278,057,730,612,840,693,890,453,533,652,032,026,801,
000,190,839,758,250,424,304,214,447,586,396,116,469,412,834,024,118,896,546,
844,790,137,783,010,598,003,089,839,068,821,395,909,778,069,261,903,324,899,
515,249,239,073,038,995,445,873,720,691,041,910,912,831,048,966,389,384,037,
533,989,733,970,802,641,970,166,171,943,350,073,088,689,347,709,469,946,565,
079,601,464,317,351,189,217,624,726,550,776,750,258,753,234,703,019,192,710,
754,470,975,259,827,516,513,437,854,737,533,836,399,577,727,142,907,741,279,
797,683,822,317,311,897,460,788,664,374,079,734,225,034,320,079,085,441,465,
900,698,197,429,743,071,227,621,811,722,694,630,238,923,217,413,750,050,011,
693,515,079,119,461,640,501,240,654,955,310,201,280,891,035,854,563,792,015,
334,380,769,681,293,988,935,940,354,833,339,506,358,922,111,411,252,525,634,
532,924,892,251,468,371,931,751,786,552,935,798,919,690,037,534,851,605,019,
724,668,390,130,574,276,279,428,357,292,929,378,944,635,280,663,346,960,883,
046,319,389,723,263,743,900,624,116,979,323,367,166,979,078,917,605,037,627,
700,334,068,430,507,021,994,900,456,829,739,936,652,147,138,992,108,629,029,
389,237,075,346,735,924,279,137,801,841,712,094,251,979,035,768,268,300,296,
038,841,063,272,584,492,296,543,375,440,056,516,934,956,085,930,347,714,045,
632,394,355,813,585,143,111,794,309,544,818,555,036,134,230,034,526,798,547,
841,868,644,694,009,761,331,958,030,030,669,715,944,560,025,453,404,265,238,
082,244,319,241,240,274,576,975,844,645,979,596,642,074,130,579,015,665,920,
154,687,266,076,088,527,787,169,034,296,528,795,505,250,292,622,104,545,942,
156,163,649,279,358,487,949,311,902,644,910,666,565,772,917,417,422,374,386,
374,607,074,863,107,054,353,959,536,668,017,896,367,848,856,249,304,923,633,
096,339,950,203,905,305,940,026,651,638,500,462,181,350,030,904,483,344,630,
720,409,220,366,492,017,326,262,875,550,585,014,746,032,766,337,007,114,723,
380,724,932,827,221,906,813,033,545,313,081,829,932,566,055,028,317,257,430,
722,837,546,580,619,193,283,378,358,281,966,431,715,643,033,440,358,909,111,
247,913,173,094,534,856,160,979,766,844,532,050,859,096,588,753,059,489,336,
655,420,112,129,585,214,490,491,959,117,514,844,168,805,041,383,587,394,949,
152,604,494,070,573,610,498,621,677,740,601,154,522,208,851,359,516,910,139,
793,688,119,217,472,163,923,729,337,210,457,555,319,809,740,379,707,623,278,
012,830,750,740,385,922,984,595,572,115,097,123,873,518,697,960,947,198,378,
182,925,923,571,659,917,557,024,839,022,693,326,413,592,631,363,996,421,623,
754,564,907,649,026,795,226,549,315,870,981,955,481,521,491,897,928,113,966,
693,097,527,931,641,266,853,759,617,281,708,384,211,513,903,266,836,575,097,
073,889,062,354,452,139,628,172,508,648,680,121,981,993,798,853,948,652,512,
193,945,904,565,973,794,204,328,095,997,365,361,229,937,640,546,701,174,638,
920,009,760,082,721,065,268,176,748,441,162,251,543,175,263,416,697,506,906,
354,696,319,950,530,744,756,384,170,275,319,031,120,692,377,380,778,191,966,
186,985,945,499,671,702,579,221,468,602,031,563,632,591,753,587,755,145,162,
314,560,711,742,318,615,398,743,023,027,306,174,360,655,615,260,744,842,909,
246,607,009,012,121,040,267,128,151,705,525,623,623,945,605,540,356,987,860,
914,938,966,744,799,392,603,476,157,645,665,492,597,241,780,229,002,461,734,
298,798,482,838,943,092,473,300,832,301,926,388,226,268,014,336,216,526,441,
573,626,487,036,172,571,806,650,684,175,260,499,007,807,522,080,755,988,265,
938,475,640,480,249,346,124,916,081,848,609,201,257,262,653,223,141,338,919,
087,324,965,995,752,090,060,820,133,415,885,488,476,395,603,873,844,067,368,
712,745,703,229,290,897,521,126,196,922,958,452,485,535,253,801,609,181,854,
234,380,803,979,988,241,186,060,506,036,811,165,018,188,838,749,134,947,866,
336,195,955,247,357,986,223,956,870,136,005,449,466,905,103,545,018,919,846,
463,671,278,605,226,628,143,402,155,120,314,920,367,956,184,937,307,124,855,
454,073,287,452,021,442,262,152,776,204,203,118,537,843,784,559,348,934,439,
854,757,965,220,048,539,010,371,165,375,649,940,976,223,865,292,935,825,950,
580,688,969,382,240,521,612,982,065,944,541,332,929,952,186,047,120,315,115,
112,733,052,792,277,019,536,439,292,047,286,838,380,416,530,353,429,446,154,
934,888,166,517,032,518,807,863,034,637,585,779,858,047,444,976,192,231,428,
107,097,002,570,965,859,433,185,231,621,488,288,687,013,607,998,726,797,188,
152,916,063,613,961,390,603,819,158,212,991,912,220,722,487,246,170,087,773,
692,186,999,719,654,394,695,443,033,801,453,810,210,075,867,612,439,927,338,
518,392,453,574,235,705,332,265,580,716,822,481,452,810,169,861,938,655,684,
142,543,638,275,906,687,147,379,413,983,807,219,835,481,559,082,760,677,459,
729,123,922,444,280,212,807,941,697,176,153,078,048,593,623,620,149,138,114,
904,010,315,361,598,168,364,787,406,716,039,480,787,325,626,050,891,615,503,
259,623,376,560,794,529,043,613,220,536,499,302,841,745,465,317,539,569,618,
981,582,190,444,509,772,413,887,374,564,403,036,868,351,447,592,228,113,140,
920,378,632,304,670,906,567,052,603,233,754,705,366,144,241,584,209,703,473,
392,489,661,656,227,781,565,272,449,089,418,827,749,482,058,299,611,296,254,
069,618,279,484,403,094,679,376,718,856,456,173,791,772,767,576,105,343,500,
942,842,922,775,282,916,119,384,528,808,760,418,106,096,250,439,738,609,651,
283,336,735,337,447,756,291,872,517,991,502,547,764,401,727,727,579,366,000,
267,694,967,507,981,370,189,333,649,044,941,311,813,568,545,293,444,730,484,
322,015,919,690,783,697,381,532,051,269,392,018,076,577,818,087,484,025,358,
536,714,982,139,633,441,807,382,392,124,179,468,997,747,964,865,587,944,140,
450,534,694,945,081,988,262,355,115,373,556,818,612,987,320,336,336,203,370,
884,162,212,354,988,607,770,354,285,125,956,059,381,240,318,458,344,884,242,
326,035,825,016,195,070,839,204,692,772,632,518,935,669,265,702,572,553,726,
488,849,155,984,667,906,899,678,322,166,870,961,796,815,496,221,336,510,320,
295,629,805,512,551,728,803,664,283,853,993,615,836,687,113,846,724,047,583,
569,520,773,591,789,730,970,951,541,258,281,022,121,125,158,590,533,810,165,
069,830,722,644,541,638,181,327,618,868,828,930,640,646,591,882,159,553,318,
854,968,618,289,162,575,025,137,262,337,725,089,892,093,235,693,302,579,873,
287,805,292,188,731,947,712,457,229,195,346,395,808,962,984,774,823,127,309,
869,402,742,036,473,145,931,191,248,861,753,422,260,450,919,431,729,814,031,
594,792,196,318,740,356,665,212,704,449,597,321,276,366,048,295,218,218,517,
843,172,195,316,585,434,006,095,503,948,833,624,432,222,128,167,385,430,002,
889,278,689,752,964,367,181,709,664,973,073,255,672,527,223,799,035,298,037,
319,595,992,169,400,575,722,980,862,652,595,012,039,871,096,542,730,852,947,
026,312,077,059,002,239,904,791,656,893,621,074,943,698,264,934,877,701,736,
939,028,987,405,579,975,200,417,258,518,283,022,922,809,065,439,612,325,100,
123,252,729,809,425,690,955,760,742,285,277,838,650,028,283,285,574,440,962,
722,028,495,313,238,110,641,301,604,779,886,793,203,352,832,146,463,439,636,
342,561,213,925,835,427,712,307,636,802,190,853,946,429,082,690,309,471,911,
802,633,763,741,153,315,772,469,112,835,649,443,324,561,938,982,921,929,661,
085,848,208,185,015,968,121,654,789,597,085,118,893,092,394,138,406,499,139,
287,898,004,001,634,546,063,434,819,174,137,232,260,927,229,791,589,645,872,
348,348,419,853,435,447,202,957,487,520,768,265,378,703,936,499,438,392,294,
207,635,281,667,200,924,534,481,824,786,487,395,973,450,151,609,732,468,182,
031,031,232,951,574,787,015,862,695,471,352,600,006,757,161,084,807,048,274,
949,547,923,876,215,346,341,827,947,741,636,178,031,061,622,455,875,908,544,
879,652,995,419,752,264,601,863,525,415,938,014,961,055,121,538,269,849,993,
697,885,577,317,831,547,871,245,164,805,392,651,141,352,424,793,447,718,852,
614,753,305,403,518,258,987,948,341,759,985,771,954,700,400,533,631,365,666,
704,340,831,270,775,711,501,019,278,676,892,322,790,486,602,773,706,958,465,
492,965,489,441,649,139,293,320,762,955,637,869,927,257,552,870,855,420,354,
635,435,859,590,813,924,142,341,516,435,006,463,388,894,360,024,647,277,601,
100,217,228,456,255,992,731,748,716,513,157,688,902,848,036,072,742,825,846,
960,856,334,826,369,699,616,885,161,917,946,497,239,409,477,984,300,931,095,
843,040,089,399,461,096,426,485,711,729,891,909,703,203,810,123,183,665,308,
874,030,257,179,188,875,144,506,656,891,511,687,721,240,804,881,375,879,825,
222,592,345,292,160,017,855,106,921,132,005,772,994,701,684,044,534,084,787,
366,807,556,927,531,110,916,642,816,587,620,939,828,801,367,228,057,062,948,
124,939,821,447,013,907,768,723,906,837,009,486,030,287,179,509,922,397,618,
279,088,484,948,968,610,267,884,712,947,548,160,472,444,562,634,615,943,589,
931,804,866,215,743,213,995,932,312,554,541,372,875,572,731,965,046,151,549,
651,834,011,646,166,286,214,615,578,354,201,563,070,329,048,746,051,498,452,
223,733,294,497,562,900,945,238,546,533,553,095,268,647,581,610,691,024,232,
007,855,461,141,777,234,947,918,551,429,624,286,593,825,196,843,641,800,298,
268,696,307,929,952,820,911,445,999,808,611,527,247,990,256,922,422,911,825,
871,935,164,550,458,768,461,186,386,636,895,135,896,437,336,536,635,248,251,
443,380,794,407,342,749,384,342,100,508,374,027,494,579,043,945,590,503,744,
576,547,944,479,054,269,856,076,778,681,838,129,330,771,206,701,795,372,930,
064,051,869,823,141,581,951,500,812,568,584,743,924,363,656,191,368,194,593,
521,925,439,757,729,036,422,719,201,860,600,918,083,869,748,961,372,780,361,
488,847,910,802,641,250,473,108,842,205,312,407,999,324,414,409,137,691,303,
071,743,898,745,185,564,461,230,665,932,062,777,360,570,362,785,824,280,817,
713,128,142,800,994,521,060,643,396,106,614,081,818,480,242,722,956,815,893,
232,136,532,480,930,781,333,813,994,932,677,421,216,559,923,706,411,631,242,
028,652,256,913,516,445,894,598,532,765,919,152,037,649,363,671,406,419,228,
990,145,171,266,508,621,315,769,839,981,848,730,875,179,174,453,803,200,649,
908,736,413,383,221,397,154,592,572,127,569,472,187,933,503,537,497,715,438,
577,378,009,040,844,173,913,426,110,798,573,759,514,550,167,054,273,170,466,
239,211,744,445,099,447,505,473,243,807,348,422,398,358,673,631,188,545,267,
772,498,769,732,909,534,036,271,738,519,792,940,230,598,320,283,011,844,944,
722,986,901,573,160,453,227,599,390,846,014,480,441,806,114,225,691,235,402,
635,512,379,117,770,211,370,772,074,405,051,117,857,711,077,066,725,598,466,
890,711,105,206,112,039,372,647,911,278,865,762,250,649,436,466,878,236,673,
817,505,106,385,450,268,145,234,666,584,966,968,067,896,366,755,274,607,752,
633,916,780,949,498,078,481,835,637,755,812,311,809,972,552,620,780,949,754,
623,571,351,674,530,895,716,527,587,300,619,319,703,901,350,992,102,597,717,
398,853,174,314,737,387,552,443,857,464,323,686,061,554,771,810,793,604,160,
777,079,010,699,163,241,392,812,752,033,600,199,751,321,877,495,110,218,986,
383,657,434,607,734,954,603,343,530,479,707,326,769,363,908,782,918,416,548,
348,841,759,229,889,388,006,996,350,583,001,076,076,477,478,597,283,776,503,
743,745,138,953,466,829,427,797,807,628,221,192,370,656,501,325,047,968,808,
369,419,913,746,902,573,639,472,402,726,834,197,080,883,914,112,628,579,517,
649,707,940,354,757,535,806,201,753,914,852,272,231,000,204,618,742,146,975,
863,521,123,416,690,015,544,324,743,965,019,890,916,210,077,683,375,980,638,
382,310,914,647,968,277,849,762,229,250,418,355,652,061,966,113,010,404,592,
600,048,578,669,537,000,063,971,488,961,559,365,501,908,900,238,446,903,087,
569,941,509,059,014,358,209,750,688,487,850,822,007,344,050,509,790,854,331,
351,762,637,675,480,481,709,628,719,621,431,793,412,695,919,379,499,381,021,
586,915,208,591,609,344,257,830,504,033,438,504,207,557,954,680,202,643,426,
799,291,636,457,975,951,976,768,747,569,493,609,125,420,291,090,322,878,932,
306,336,479,257,546,624,501,188,960,963,923,227,182,786,758,166,797,188,615,
459,824,336,738,340,547,561,672,450,948,588,676,548,720,122,111,438,796,151,
295,315,841,686,883,522,534,621,955,310,514,129,006,428,339,919,722,054,298,
724,356,211,420,658,667,950,101,832,572,480,060,071,814,463,596,807,458,287,
913,919,300,974,599,597,736,558,437,141,689,771,497,447,704,079,507,640,419,
314,857,889,367,055,565,907,694,312,507,775,836,032,713,346,217,034,589,317,
989,307,981,171,315,383,965,152,351,157,588,323,169,917,049,456,140,196,287,
273,095,580,176,506,335,436,251,008,990,598,524,514,425,531,789,208,595,869,
026,037,637,593,500,732,349,922,144,718,722,377,966,917,228,285,529,372,429,
711,938,889,501,118,088,679,214,047,105,486,338,180,864,001,809,743,514,737,
131,295,768,497,761,077,400,558,707,861,070,146,138,658,786,006,364,233,025,
877,780,583,635,705,080,582,043,359,177,736,717,581,369,199,159,049,231,076,
485,928,939,391,439,771,155,541,285,981,784,200,818,810,613,349,087,322,412,
870,712,658,688,423,252,512,283,608,092,864,440,586,303,054,229,199,625,734,
608,207,371,697,595,717,291,573,361,345,449,577,014,830,942,719,476,794,910,
052,555,360,072,036,267,830,036,834,028,325,307,462,708,729,631,584,682,855,
405,748,822,457,228,927,333,259,221,598,096,109,312,437,961,124,538,273,128,
659,160,774,860,766,824,976,417,797,591,263,285,969,461,831,881,483,279,105,
693,073,596,719,461,982,204,355,691,724,505,500,059,927,518,416,921,307,457,
348,585,693,261,296,995,476,412,100,062,584,985,427,728,039,701,185,512,646,
363,819,019,246,456,352,535,075,831,680,334,139,525,228,677,831,641,597,960,
339,205,307,132,780,128,890,502,728,327,001,890,256,803,156,047,629,174,172,
078,688,020,638,889,924,029,337,764,312,055,471,896,271,258,764,293,290,511,
733,695,322,306,435,472,827,213,394,859,241,095,716,200,426,722,580,453,485,
736,673,708,470,937,354,636,186,215,785,576,677,820,477,152,444,823,552,217,
072,762,181,159,645,824,039,814,223,072,136,684,371,534,857,232,245,904,157,
029,487,390,051,531,300,948,934,922,864,936,165,633,145,409,855,889,329,452,
637,733,202,373,550,134,633,427,144,579,096,080,455,583,904,630,612,065,052,
532,033,895,941,156,693,568,597,656,926,118,687,650,075,615,362,830,821,819,
309,570,493,216,064,119,226,064,736,734,159,858,286,012,762,558,380,232,618,
060,042,832,995,269,236,568,340,360,585,028,751,992,686,715,535,361,469,548,
813,800,450,477,632,988,983,148,388,105,659,665,302,793,691,668,688,386,675,
725,095,764,787,879,860,043,610,522,333,761,875,695,007,461,701,223,200,960,
979,516,550,859,879,780,120,298,068,312,353,682,035,374,591,386,649,425,643,
677,115,408,442,065,882,864,998,182,991,249,804,790,159,733,240,783,388,755,
809,746,571,947,130,212,999,250,570,571,996,444,991,040,422,449,828,522,662,
239,172,519,540,971,752,824,353,712,507,647,749,248,394,746,551,455,252,531,
470,264,890,606,778,477,369,416,645,248,020,367,488,679,722,124,474,406,668,
889,915,582,641,117,862,204,630,531,574,932,240,925,908,760,034,213,552,452,
651,807,585,898,826,389,516,947,144,619,790,615,544,728,361,925,482,879,452,
314,425,420,139,484,275,674,590,874,561,519,188,149,390,091,617,080,670,142,
320,094,337,743,033,085,367,092,128,018,625,827,067,940,178,126,457,009,414,
806,117,678,366,439,496,683,915,241,891,411,376,521,741,812,369,451,230,192,
971,777,566,514,124,448,215,284,036,228,218,952,295,753,755,677,656,580,742,
546,031,350,783,550,227,279,286,598,266,095,933,658,909,520,068,166,291,201,
115,519,314,092,677,015,821,427,383,274,169,035,957,002,541,793,752,046,457,
283,613,172,372,776,883,517,679,415,557,565,115,222,587,305,054,600,201,260,
367,776,102,544,784,430,661,551,177,971,578,184,184,578,994,211,867,811,445,
932,562,440,345,117,171,192,186,049,033,234,754,211,849,462,750,332,491,864,
987,387,757,439,264,976,772,689,237,013,672,728,904,157,920,185,636,362,254,
703,792,623,831,110,869,113,450,412,576,261,664,556,408,349,012,873,320,371,
193,288,304,871,832,372,754,632,165,805,605,469,008,472,076,246,560,002,342,
942,807,161,643,002,218,048,909,513,675,004,203,617,557,376,444,630,310,215,
457,546,353,246,538,339,484,106,791,404,009,673,661,925,810,992,518,357,810,
289,413,601,792,398,753,107,802,401,122,434,614,480,786,572,711,278,075,501,
279,518,363,217,987,757,320,396,518,041,146,182,221,035,095,839,361,180,985,
507,344,937,824,496,020,216,219,856,638,023,765,333,487,862,079,998,141,135,
314,992,177,953,435,056,606,532,572,902,864,138,289,027,078,667,721,458,642,
839,778,586,787,910,878,969,426,508,856,875,791,277,300,036,516,293,170,781,
118,679,493,723,836,212,931,377,911,381,839,653,074,766,158,974,611,390,131,
723,545,779,714,868,681,837,947,337,183,310,329,975,027,756,951,712,333,977,
809,868,831,354,907,069,426,659,837,977,494,528,079,166,115,145,750,565,848,
639,328,680,959,076,847,591,857,492,037,740,113,163,876,026,499,341,140,275,
457,042,207,714,741,501,154,979,145,155,669,721,073,549,891,537,215,361,697,
775,584,657,049,133,135,090,829,003,032,502,007,071,944,867,238,201,763,449,
388,424,358,453,143,316,729,886,066,557,322,868,928,685,969,828,334,383,338,
045,650,286,117,555,435,805,314,853,050,304,135,961,608,816,681,906,468,301,
271,772,969,759,848,307,128,240,160,283,670,051,095,665,622,089,313,842,834,
789,162,140,383,015,765,612,538,511,556,888,092,614,169,707,463,805,997,119,
620,425,501,839,192,296,766,999,480,148,408,439,451,811,218,385,145,141,068,
806,945,940,054,894,433,175,937,386,219,048,948,945,713,708,486,654,365,688,
695,498,464,639,641,904,936,432,055,863,338,091,385,910,510,203,297,550,707,
879,740,342,306,675,545,547,475,667,480,657,527,286,974,963,895,691,153,196,
897,947,419,398,357,067,176,647,890,870,816,336,678,339,895,427,331,246,726,
627,897,078,108,062,474,449,778,009,114,081,183,413,764,612,028,348,220,104,
786,500,370,065,015,435,227,176,576,290,408,872,091,208,636,187,773,580,357,
610,714,076,590,126,882,464,090,564,784,928,275,356,949,228,341,930,707,516,
821,712,881,223,050,707,238,537,674,393,637,488,513,603,894,863,634,655,036,
528,268,403,202,972,316,110,399,469,991,061,570,108,123,894,637,941,335,784,
531,924,032,069,657,677,975,811,440,391,452,478,738,362,067,763,832,068,814,
039,690,241,108,913,496,590,959,546,085,459,906,112,371,280,170,615,550,633,
045,695,002,827,974,283,407,391,310,405,250,416,970,787,387,445,805,543,379,
074,713,826,574,400,125,014,389,650,701,184,398,058,339,781,121,701,477,113,
551,910,695,394,867,492,251,078,917,356,123,333,866,603,276,167,898,963,436,
578,082,706,696,517,185,826,040,076,580,297,438,328,146,690,497,630,764,340,
623,870,891,781,549,124,937,165,204,155,680,258,724,847,520,982,676,876,289,
037,444,374,755,480,026,262,460,802,054,183,262,739,954,653,039,648,661,207,
219,327,959,306,494,946,757,724,969,387,777,474,465,869,650,557,782,192,744,
264,201,777,189,364,535,300,285,074,227,529,441,619,521,057,553,438,390,482,
722,324,322,750,875,245,492,039,185,581,971,301,464,537,895,071,320,159,641,
808,506,104,045,057,562,726,783,357,523,187,288,864,018,770,894,406,994,072,
538,743,643,712,807,217,351,964,378,188,580,084,438,040,642,815,980,364,915,
907,758,586,146,106,965,590,059,063,980,647,069,529,113,677,667,656,504,585,
314,186,762,567,325,099,999,218,260,993,794,860,818,397,213,085,526,012,293,
897,753,441,768,170,503,716,491,322,722,322,694,248,547,100,961,817,291,886,
209,158,211,656,381,517,952,642,176,667,349,240,125,579,829,309,943,962,889,
979,229,342,515,410,240,689,552,299,901,157,907,723,071,090,533,969,459,794,
617,091,949,351,652,392,098,736,703,528,724,055,454,877,863,260,444,519,563,
938,914,369,377,095,799,679,210,727,618,850,311,693,521,771,356,100,454,935,
844,536,521,633,347,494,828,334,328,081,954,312,438,829,814,757,291,155,764,
135,940,774,917,713,237,905,894,705,339,914,759,754,047,439,890,572,164,850,
137,990,552,392,924,724,147,723,429,038,294,436,914,444,219,380,140,225,695,
116,598,233,464,677,235,690,211,875,621,958,333,465,793,442,013,854,469,265,
522,836,138,060,726,289,668,266,098,313,801,764,478,954,484,163,458,425,562,
058,643,183,851,284,604,690,305,430,139,120,409,433,417,537,740,929,350,209,
657,753,206,082,544,382,167,500,191,347,022,466,039,896,302,182,084,613,004,
261,731,550,728,707,681,143,564,182,014,657,870,317,478,538,805,531,401,354,
824,808,810,718,117,941,732,385,059,303,926,446,078,754,868,999,406,059,497,
111,284,750,679,573,077,750,891,569,249,168,107,285,814,828,654,937,463,723,
769,803,604,900,157,506,742,681,387,405,024,320,382,711,557,094,109,612,548,
298,213,236,769,882,048,945,025,177,423,782,232,770,965,255,100,503,253,822,
812,430,358,984,487,719,258,995,054,850,410,098,053,785,792,159,283,850,877,
294,174,435,716,698,307,534,960,014,148,668,407,399,943,001,684,920,433,816,
793,403,149,894,616,180,792,845,663,578,563,210,655,426,219,751,211,354,375,
871,421,379,164,388,167,032,139,640,574,458,021,096,913,921,343,263,892,818,
888,555,675,940,722,233,340,896,825,055,652,218,202,556,284,025,432,579,242,
078,815,214,354,917,142,617,290,359,555,678,123,812,845,372,791,083,490,151,
299,001,563,788,991,630,581,903,251,343,836,050,088,190,738,372,143,404,722,
959,150,432,186,541,751,308,095,720,889,021,421,848,724,978,194,641,764,052,
212,495,384,339,143,227,070,493,748,404,938,035,200,603,496,628,357,643,405,
039,620,746,791,643,594,368,422,044,014,281,884,535,692,818,979,593,665,148,
772,774,036,477,689,398,964,207,229,417,858,325,348,973,064,714,407,868,584,
265,974,361,231,373,140,757,531,123,731,976,902,002,382,804,417,112,888,159,
786,032,269,434,044,754,099,392,190,338,660,266,937,296,587,600,622,233,835,
140,137,074,341,725,590,942,551,072,225,987,820,818,887,753,504,694,260,137,
462,715,247,141,431,217,341,196,764,170,053,651,437,461,016,812,983,244,854,
421,342,516,906,796,888,034,049,691,349,499,145,801,760,649,142,311,366,211,
808,099,405,878,248,888,023,246,276,897,433,224,813,915,727,605,599,975,373,
449,036,627,515,341,074,810,645,823,897,894,530,329,702,821,798,477,015,171,
631,068,122,544,171,101,286,977,819,571,090,834,930,385,338,635,080,966,116,
993,711,918,037,521,667,965,301,342,136,225,527,757,778,059,370,589,787,530,
662,653,671,670,320,460,987,639,185,422,411,271,062,346,547,250,653,654,517,
600,038,027,638,316,704,059,693,193,959,277,856,304,413,956,367,515,534,817,
826,488,456,386,397,244,530,757,353,058,479,697,148,970,439,812,503,573,699,
139,381,329,353,623,970,831,611,257,449,243,291,775,017,288,721,166,483,955,
923,738,250,504,007,808,377,575,886,869,356,749,665,948,351,374,656,532,712,
827,469,082,739,097,186,632,694,707,163,599,847,305,161,732,913,885,849,478,
222,588,752,295,729,845,027,170,983,888,432,334,750,369,668,330,268,876,435,
189,844,636,471,016,069,878,367,442,406,897,515,297,695,766,594,560,872,350,
184,012,931,995,757,878,839,620,032,126,687,980,234,770,919,670,631,761,867,
441,816,610,550,956,258,463,821,544,796,311,867,579,451,083,384,723,513,866,
157,046,793,572,055,526,064,708,833,737,775,662,301,130,657,948,037,555,673,
355,311,369,116,458,549,844,964,885,635,194,091,509,887,071,218,000,524,799,
759,175,245,396,543,188,062,802,173,356,638,175,267,204,250,157,346,174,350,
448,869,364,715,556,727,742,862,760,130,856,159,861,044,661,802,954,679,322,
354,702,489,067,828,451,905,823,655,568,469,247,878,320,276,663,274,361,397,
740,141,024,921,600,646,704,705,473,498,205,092,271,740,928,618,813,418,842,
689,353,993,486,522,468,107,635,584,466,135,068,714,065,106,459,091,431,982,
532,863,265,385,132,313,016,903,681,954,590,174,792,749,605,447,334,812,200,
538,090,153,872,758,872,410,363,527,651,040,079,058,686,131,109,471,234,013,
754,097,723,618,701,564,855,972,238,599,518,299,955,631,795,611,967,462,912,
374,825,509,658,317,484,483,624,117,987,616,602,172,763,573,406,869,899,682,
447,303,899,876,162,542,861,065,792,687,463,845,729,839,248,629,959,326,614,
541,332,438,671,590,861,824,243,996,210,753,902,702,808,027,364,917,245,340,
360,097,311,509,518,733,732,071,470,489,663,256,833,183,335,879,402,637,541,
795,498,003,396,152,782,447,781,064,028,609,216,313,690,852,504,498,443,606,
671,812,847,022,437,968,888,864,567,465,734,654,168,607,697,640,245,826,655,
536,021,565,736,964,424,486,003,413,621,563,816,281,388,732,139,382,747,052,
451,955,029,585,459,091,356,101,454,144,833,456,035,700,080,653,799,056,581,
094,800,442,339,996,235,916,657,888,392,227,039,597,008,024,035,047,662,364,
407,812,265,258,426,767,454,065,856,139,067,042,855,594,128,130,071,011,462,
448,563,678,218,487,803,052,997,887,025,695,757,034,497,244,317,558,222,282,
856,898,681,666,071,792,338,334,691,884,467,569,397,193,569,645,495,071,400,
050,502,702,669,487,028,739,087,117,934,078,562,819,071,349,142,823,199,054,
358,574,946,078,507,979,453,108,101,735,600,367,085,530,402,596,158,422,659,
022,604,942,072,717,539,542,843,620,160,362,988,471,595,852,560,799,347,209,
562,840,767,671,736,579,798,687,444,881,171,773,141,366,176,348,365,169,719,
106,943,383,947,756,094,325,364,640,262,685,477,937,736,579,584,574,444,078,
113,263,237,147,288,031,061,788,987,867,654,375,143,619,348,495,466,481,054,
868,165,357,344,356,830,807,572,912,610,082,888,588,333,077,679,235,025,686,
014,190,610,345,211,815,878,403,571,566,086,472,032,580,811,149,890,667,153,
497,099,439,286,344,085,676,289,714,221,176,844,192,027,872,805,596,863,936,
820,057,000,086,399,992,083,597,874,662,854,760,654,580,005,401,656,866,444,
509,326,542,011,363,572,236,808,434,479,753,551,207,306,756,913,865,045,233,
253,088,014,906,390,696,240,495,059,427,161,436,113,188,236,502,428,702,360,
681,385,816,419,786,435,064,868,287,885,979,559,439,019,972,819,177,402,550,
688,586,053,102,686,487,060,913,431,111,008,401,295,694,412,685,548,228,918,
867,811,608,364,455,323,194,526,845,191,455,849,139,742,112,160,108,841,515,
631,807,379,472,998,560,400,840,170,568,176,828,936,982,834,623,883,589,665,
384,677,125,518,794,436,904,887,126,278,411,807,295,581,462,358,586,899,553,
459,400,381,899,872,264,709,754,004,280,389,550,878,870,610,388,053,787,560,
870,260,727,701,405,529,255,122,785,617,380,568,798,419,602,166,461,192,381,
854,569,817,621,995,182,024,709,478,838,904,482,161,844,570,668,148,057,205,
328,545,879,762,463,064,035,197,552,424,959,635,327,807,754,606,044,258,600,
294,712,729,116,318,802,592,537,200,664,965,399,535,075,739,702,600,510,395,
863,144,805,229,929,792,009,668,899,744,555,979,933,667,289,146,972,736,200,
825,761,645,224,151,719,978,770,588,711,110,771,012,973,595,175,831,621,288,
791,095,843,473,914,969,430,290,573,505,655,156,867,524,571,550,347,998,439,
385,165,955,748,737,078,064,487,127,510,054,313,039,536,060,800,979,485,071,
446,522,056,060,050,165,813,918,309,977,249,827,340,538,749,855,035,613,346,
398,114,149,907,212,815,005,005,148,863,008,333,012,514,926,061,714,879,839,
621,986,052,946,041,156,124,442,388,477,316,225,527,836,949,590,273,169,338,
665,638,636,702,533,163,165,448,469,459,678,852,043,405,552,605,283,918,784,
906,278,043,301,729,344,801,472,182,379,908,553,606,834,039,280,616,175,862,
283,818,455,711,441,251,549,066,175,836,234,256,981,962,319,607,227,488,338,
415,712,548,183,800,159,235,132,620,746,104,273,181,593,699,095,887,181,214,
582,291,105,615,669,062,333,798,713,200,327,939,571,257,735,579,310,544,754,
352,746,361,546,310,747,571,244,466,532,600,008,835,000,946,664,870,650,434,
825,217,055,387,480,820,811,202,598,081,238,292,019,964,655,861,277,470,082,
118,052,632,029,881,385,492,770,774,520,771,821,879,727,318,735,524,480,037,
428,533,638,776,989,357,308,878,193,376,449,338,679,340,866,179,761,290,775,
844,179,714,750,980,516,300,996,449,442,118,284,243,698,464,031,492,314,951,
370,698,788,133,440,692,441,750,964,547,493,412,905,708,612,511,684,663,076,
573,940,580,737,773,620,165,063,304,531,034,523,889,574,409,821,752,551,209,
133,220,517,765,275,070,187,624,842,536,177,568,495,419,131,653,629,040,277,
993,158,041,909,987,753,457,416,537,637,808,246,302,671,902,105,188,615,785,
123,374,830,056,431,914,061,524,818,521,339,952,558,397,125,345,548,894,296,
434,780,320,748,362,485,264,850,943,647,745,894,507,434,645,523,521,687,830,
041,523,487,122,434,384,571,442,228,858,500,045,621,659,154,829,797,838,044,
570,022,748,018,921,809,301,151,551,803,434,307,074,239,220,211,042,917,603,
309,171,090,434,771,804,927,848,656,491,189,165,181,112,569,074,881,906,035,
853,099,405,361,248,703,790,410,646,295,530,085,227,964,148,695,409,428,115,
436,145,211,713,631,668,952,007,475,862,586,844,730,732,090,753,940,605,259,
029,802,575,077,373,002,226,322,456,994,219,080,795,978,370,186,684,993,773,
369,148,414,918,945,158,046,505,451,148,563,579,940,874,614,362,706,161,333,
368,256,621,238,878,603,701,074,452,588,246,120,401,085,580,637,673,052,558,
499,273,690,096,245,039,608,478,289,526,573,369,924,043,461,809,008,375,960,
937,065,580,643,460,413,709,786,940,608,003,337,056,837,922,837,239,766,871,
286,925,738,584,540,057,112,332,815,375,633,640,805,919,808,992,240,488,665,
201,995,750,404,926,505,836,315,138,822,835,314,636,736,807,685,662,220,789,
641,828,752,928,423,229,963,089,644,365,043,555,935,437,914,158,118,721,488,
059,270,154,187,954,798,824,379,940,839,443,921,347,232,816,693,379,939,582,
307,264,623,948,124,174,043,374,210,936,915,310,462,976,236,863,235,068,517,
192,069,138,481,064,881,271,015,787,213,641,342,858,890,144,833,200,839,045,
656,854,169,923,234,958,478,244,330,871,084,544,752,050,755,923,706,560,709,
593,690,055,855,746,093,439,042,045,523,455,360,004,021,970,418,069,920,363,
334,142,664,950,007,727,129,774,254,282,243,489,099,142,256,008,968,980,401,
312,034,296,868,892,267,535,946,865,467,044,507,467,738,165,192,315,847,085,
445,607,228,643,559,760,101,667,362,409,602,958,051,634,639,229,868,838,882,
771,549,307,074,328,834,362,257,473,713,958,247,248,123,542,608,621,210,299,
858,890,881,059,377,423,140,386,290,126,718,642,317,308,006,534,559,371,499,
037,623,518,936,158,842,791,373,478,568,002,444,794,134,820,426,552,577,094,
821,319,923,847,750,356,124,621,769,319,031,494,162,999,567,610,436,667,704,
062,298,675,171,700,667,192,158,716,868,691,966,752,278,396,586,430,209,995,
780,698,315,958,578,080,086,242,231,154,828,288,736,972,007,967,425,160,515,
713,747,575,206,066,508,959,826,917,336,000,726,013,953,703,936,652,903,843,
849,209,616,114,666,710,986,930,022,660,148,198,465,299,034,899,335,257,748,
130,816,602,310,904,087,335,135,676,525,827,605,726,146,166,759,292,003,935,
767,156,153,759,759,629,913,818,195,433,075,771,594,030,184,421,574,404,857,
253,012,852,234,831,253,089,687,019,085,506,693,823,165,495,763,268,587,042,
115,299,442,286,688,116,246,779,821,141,732,516,253,617,239,439,643,386,424,
649,157,328,319,174,788,408,186,648,843,361,835,212,279,815,146,851,636,305,
424,230,166,062,570,847,690,312,085,069,187,721,220,863,016,967,883,226,003,
411,759,668,134,151,966,215,430,226,395,437,726,214,362,743,005,648,967,940,
848,010,163,425,371,434,465,511,993,285,370,650,206,726,898,238,509,086,930,
820,636,931,976,250,764,574,243,117,997,008,653,031,405,911,183,394,592,154,
498,999,570,963,922,172,118,814,239,179,383,926,511,353,071,548,083,841,215,
168,903,918,991,749,893,525,067,367,411,378,681,363,168,401,753,697,909,687,
935,072,735,224,618,414,281,311,877,820,424,619,675,377,527,041,204,242,712,
842,298,119,972,338,799,106,030,253,352,778,838,981,469,897,567,850,339,813,
221,214,405,532,559,633,238,631,637,305,785,180,838,511,774,652,816,765,020,
434,911,936,074,180,506,498,182,519,173,310,945,727,410,302,278,344,448,595,
268,412,547,593,416,122,714,889,769,131,303,952,744,452,693,108,892,357,964,
083,312,954,476,619,031,802,400,892,842,064,784,611,118,880,673,771,960,254,
793,939,827,827,544,522,035,377,087,633,968,269,174,077,397,208,516,780,453,
988,034,632,112,402,822,371,904,098,243,771,494,731,191,026,249,888,342,878,
342,906,301,955,744,393,437,630,148,136,089,518,425,037,350,324,689,336,134,
314,523,821,933,453,160,560,461,608,136,270,149,221,589,460,345,448,418,466,
220,390,290,511,073,160,765,216,355,252,615,321,205,169,595,456,119,952,394,
779,901,370,900,650,699,486,991,310,384,845,986,833,607,450,419,663,528,193,
689,908,236,399,148,630,071,626,455,018,570,183,748,860,913,074,959,432,350,
082,106,166,050,260,307,261,380,171,615,977,552,108,407,672,621,506,072,284,
146,240,223,221,402,441,595,187,444,330,849,733,229,190,021,389,044,848,187,
029,370,865,039,614,799,486,321,478,391,490,192,369,599,614,206,219,867,580,
160,622,629,434,411,419,670,779,715,461,088,242,934,376,379,645,415,216,511,
717,952,231,551,617,299,069,484,111,185,944,187,332,316,410,912,876,165,532,
379,457,300,416,195,838,260,086,665,563,507,683,503,670,686,167,861,375,024,
593,395,380,940,612,094,041,239,801,608,067,104,216,694,465,056,602,025,968,
565,456,298,700,931,016,128,629,683,936,890,791,387,396,233,685,662,374,342,
838,960,481,690,391,829,403,695,387,875,952,748,268,206,278,650,170,928,740,
151,551,250,147,647,854,854,289,789,849,978,278,942,913,375,998,519,534,774,
215,693,612,629,084,749,660,049,401,074,049,585,617,430,833,201,949,048,768,
356,720,063,610,865,283,729,841,767,118,545,808,605,176,182,399,789,591,633,
517,731,611,422,617,891,540,314,342,688,196,120,097,390,335,837,019,083,688,
696,610,576,096,400,642,738,552,813,227,278,292,937,975,713,830,157,481,874,
140,065,283,843,722,734,243,846,420,366,552,466,943,759,284,218,485,281,437,
146,162,621,342,855,941,953,390,136,198,363,335,468,355,100,296,053,942,856,
196,436,491,848,751,100,789,971,210,674,598,866,786,857,208,449,660,012,121,
283,240,993,498,160,604,972,312,624,434,933,007,681,244,972,997,650,758,715,
837,823,268,800,098,204,308,830,856,359,980,562,465,823,871,416,174,459,540,
313,026,350,521,706,885,462,973,714,601,247,954,376,763,467,123,974,793,928,
395,463,904,285,545,754,017,577,796,395,743,637,593,423,860,770,009,661,150,
123,954,059,228,247,071,417,209,806,504,868,462,307,264,617,307,750,139,775,
782,002,823,779,182,996,412,845,224,724,552,705,556,505,798,320,487,057,956,
724,968,548,456,947,695,341,786,460,344,748,565,106,364,865,658,633,726,861,
172,700,768,670,839,563,238,791,195,064,857,566,367,867,530,021,196,491,721,
590,174,842,051,793,889,473,745,708,465,850,753,984,018,042,013,994,475,304,
636,767,916,950,049,485,772,040,972,793,678,423,982,235,210,675,303,073,910,
949,062,250,113,519,906,912,392,797,840,618,143,797,507,775,196,863,547,811,
308,084,547,105,478,727,074,236,477,129,337,466,404,145,197,046,001,154,108,
476,399,134,366,734,496,128,064,594,194,725,031,560,788,847,098,310,949,350,
743,579,286,472,684,987,196,676,368,626,392,366,762,470,951,892,785,409,576,
897,573,113,996,498,618,817,342,540,708,561,410,422,104,069,561,064,404,772,
557,459,306,096,864,440,535,724,253,834,940,127,115,705,380,696,113,230,564,
969,625,909,951,087,063,893,420,795,848,884,988,848,538,165,835,218,612,779,
429,997,806,410,312,865,365,255,275,653,104,910,920,678,649,117,558,561,812,
164,648,585,830,360,299,904,384,608,336,951,869,336,534,171,963,561,124,915,
390,870,011,429,706,811,014,613,703,186,735,819,447,943,008,167,375,558,398,
908,591,690,083,263,537,326,816,052,091,840,832,644,513,694,826,845,321,343,
927,154,169,610,100,077,453,270,512,534,215,177,044,264,861,637,655,957,460,
380,116,107,252,775,087,288,877,619,541,424,633,702,902,290,418,925,902,739,
480,872,827,684,682,798,814,579,748,120,867,229,846,285,185,216,565,267,568,
752,546,878,080,857,933,838,299,772,194,171,901,611,324,934,556,049,834,173,
708,093,226,087,918,433,691,722,088,753,962,493,332,685,032,834,259,824,711,
950,604,097,681,070,778,066,186,145,394,891,437,125,939,756,504,874,531,115,
529,727,272,266,032,263,838,495,391,904,017,476,716,292,392,636,182,745,592,
902,998,775,508,954,557,560,207,160,258,236,725,760,609,007,827,369,898,769,
320,138,270,267,099,899,078,075,795,182,336,362,087,949,846,438,023,328,162,
196,612,640,997,830,002,778,953,681,996,396,637,338,323,066,173,806,133,994,
962,373,411,767,631,779,843,310,155,804,940,156,861,583,520,166,567,368,842,
622,003,269,729,004,051,550,506,279,625,533,650,777,006,363,230,340,189,986,
587,686,487,443,496,872,299,921,986,060,265,151,284,181,204,975,486,067,031,
577,993,058,371,232,890,169,143,335,438,375,880,274,377,461,147,735,979,441,
654,813,589,570,972,661,292,605,256,683,093,536,460,989,942,082,377,794,297,
385,844,215,124,149,730,463,058,261,001,567,505,726,192,021,193,497,206,722,
764,631,117,712,597,461,334,176,972,712,055,411,248,233,893,912,862,556,917,
343,282,286,051,074,122,003,180,348,263,170,727,880,863,080,062,679,285,393,
907,178,926,217,351,090,316,077,242,730,772,511,240,138,802,767,186,468,767,
982,980,480,894,285,256,721,155,693,395,427,890,553,722,322,513,621,327,655,
499,555,200,558,776,689,116,675,700,720,274,016,251,570,007,806,687,844,381,
866,907,177,671,455,946,801,980,549,461,384,897,352,217,604,960,864,214,464,
120,223,749,283,500,382,709,756,371,501,643,566,883,380,194,814,728,677,516,
843,935,142,895,159,617,191,368,568,206,685,667,853,560,875,279,050,108,851,
511,493,772,586,966,441,903,130,262,770,432,767,953,629,563,088,478,505,941,
057,609,232,577,470,539,099,926,660,306,606,976,921,890,178,050,534,815,298,
905,228,868,188,366,406,623,826,392,693,002,006,064,275,599,085,327,945,377,
310,240,409,013,173,535,760,090,404,746,880,592,708,184,893,479,115,076,339,
310,839,483,561,712,315,394,864,303,601,608,301,243,027,665,400,657,525,475,
501,287,278,039,314,348,307,691,603,152,755,557,463,369,121,430,815,745,990,
887,471,963,189,583,064,089,129,548,381,281,036,414,023,678,201,321,661,322,
450,828,413,950,850,777,768,485,568,269,069,893,862,610,618,689,187,803,909,
431,528,580,697,886,709,253,511,674,522,083,375,510,099,007,263,001,148,811,
963,699,957,893,887,715,004,163,674,308,363,089,359,556,514,507,939,971,404,
603,732,485,624,384,716,607,404,839,162,242,673,144,877,784,557,334,436,492,
824,918,472,043,241,618,652,200,041,167,378,801,888,070,288,738,035,945,521,
561,691,948,860,528,723,536,716,037,799,186,012,431,789,034,530,170,179,573,
271,302,257,390,655,151,686,890,376,160,244,882,482,928,493,531,749,032,756,
004,835,346,241,357,858,138,811,034,050,036,105,396,868,101,180,987,514,326,
774,399,403,501,311,124,268,121,022,983,931,905,921,374,964,092,334,764,558,
191,827,295,746,935,480,032,069,045,976,909,033,106,739,367,311,913,021,508,
399,898,963,689,097,962,637,783,958,765,393,456,382,558,953,335,265,721,221,
947,040,409,199,982,158,757,430,684,037,898,027,820,553,804,413,563,629,529,
437,951,646,786,758,185,114,863,016,313,787,657,795,983,002,027,024,307,628,
302,696,459,439,239,209,411,360,763,824,775,617,921,589,576,515,474,200,190,
340,748,033,298,451,723,632,402,475,809,877,733,597,385,690,745,586,520,180,
697,609,500,293,136,281,954,178,888,719,313,148,379,130,504,607,229,007,976,
887,568,915,784,861,730,056,950,296,784,410,619,881,750,437,306,197,998,597,
299,813,553,706,221,721,986,332,283,557,507,257,193,698,400,877,612,115,948,
756,864,498,517,104,293,365,983,718,211,363,973,054,620,148,570,932,340,126,
423,101,862,685,039,850,569,362,744,323,033,682,172,729,414,463,988,814,194,
616,304,606,557,580,919,975,987,810,267,944,203,481,143,896,783,804,094,233,
574,995,063,467,484,146,027,792,518,449,881,467,405,655,150,934,541,846,508,
103,359,078,941,240,445,875,822,484,732,681,509,642,067,318,606,363,475,883,
618,511,419,692,861,681,617,754,109,101,523,668,391,197,686,929,694,392,071,
651,953,593,808,115,587,476,428,502,951,081,891,868,351,326,491,115,398,619,
674,009,453,629,607,089,446,493,377,870,312,611,886,210,997,743,515,185,633,
884,827,262,930,978,337,882,147,170,540,452,526,388,544,569,004,181,597,565,
633,216,857,871,495,247,337,011,080,844,745,057,335,673,603,654,665,816,186,
003,717,134,594,636,651,420,571,538,434,507,642,791,487,443,406,093,709,722,
818,384,172,320,138,628,386,981,995,971,843,146,204,532,526,612,895,001,948,
755,902,207,265,350,377,906,811,940,438,403,978,636,379,944,350,479,329,022,
673,096,993,329,794,827,374,817,331,693,799,085,847,597,528,927,020,744,319,
633,849,981,380,125,042,319,264,745,823,871,936,461,764,984,887,713,145,491,
134,565,915,586,855,957,025,142,032,045,006,625,633,178,757,728,725,385,007,
780,702,984,611,351,268,329,055,874,499,992,261,076,249,977,393,783,728,552,
095,184,626,080,316,061,941,892,349,506,081,008,812,983,135,576,548,433,094,
969,337,551,032,087,621,306,616,892,717,370,348,525,141,103,547,832,488,901,
930,958,397,993,225,747,666,287,831,342,592,103,646,021,064,121,334,097,721,
123,207,012,878,611,621,185,062,903,021,169,276,467,820,880,984,335,076,328,
698,296,536,222,622,639,079,632,260,305,246,395,421,366,160,382,278,970,047,
834,801,677,229,903,185,631,077,428,694,182,461,119,225,132,703,417,938,274,
112,097,258,428,922,370,876,773,667,608,767,475,911,505,370,422,836,953,573,
643,004,438,996,991,197,795,662,517,396,018,631,542,853,926,542,409,595,960,
697,240,083,864,498,049,446,362,830,047,703,871,747,154,037,438,951,062,132,
475,378,839,069,559,561,211,673,242,443,121,603,626,263,386,394,503,316,369,
671,449,037,578,850,581,878,121,413,672,843,791,515,271,407,156,256,530,350,
693,111,108,717,320,665,675,807,490,292,302,022,710,096,149,496,464,509,600,
483,820,019,150,594,271,247,019,877,451,590,958,636,707,629,903,176,207,434,
523,208,506,939,956,014,216,504,722,705,308,010,195,435,180,363,384,704,629,
219,252,473,582,115,446,631,847,203,639,909,995,885,757,671,522,278,564,274,
672,292,121,463,799,683,331,408,300,041,294,576,430,351,098,378,870,868,927,
605,580,226,403,572,229,565,041,000,085,392,446,687,357,912,325,489,276,042,
591,318,541,555,542,365,005,339,053,937,501,016,130,165,407,249,304,798,778,
335,390,597,038,516,325,405,530,498,707,054,425,226,403,310,403,136,501,856,
375,240,595,669,562,546,943,809,164,784,764,696,884,064,013,752,770,811,161,
679,748,889,635,394,948,971,676,268,009,333,115,239,971,999,375,364,326,092,
052,487,611,838,312,233,651,237,071,425,865,751,957,507,413,575,220,327,162,
697,440,132,232,665,325,907,612,113,303,983,234,818,370,014,481,470,871,372,
623,601,440,783,213,053,985,266,800,690,390,700,221,500,126,311,601,591,780,
885,537,144,923,185,811,914,679,256,013,103,267,823,254,323,260,277,950,438,
202,851,268,327,035,992,224,344,523,960,382,936,413,363,678,646,185,913,907,
436,306,301,819,109,592,852,860,205,809,682,626,817,509,552,746,085,189,340,
176,381,363,833,257,025,929,790,569,485,913,199,395,259,242,901,331,566,443,
508,408,481,358,721,021,107,132,252,578,037,608,081,685,268,125,844,643,189,
128,561,820,670,897,980,883,519,854,234,772,082,639,736,029,833,991,012,441,
958,482,383,543,455,247,688,977,347,199,970,202,353,767,454,485,395,912,068,
244,951,847,362,675,890,195,020,482,459,501,769,074,454,754,792,880,885,673,
655,278,341,424,283,966,018,271,327,183,016,911,784,332,158,568,177,527,322,
557,656,001,722,984,519,277,714,385,228,958,887,483,555,457,259,556,789,169,
313,771,273,820,069,982,454,304,064,404,044,107,986,448,522,098,657,390,851,
425,264,609,458,408,947,584,716,633,681,366,550,994,452,928,433,950,948,201,
656,826,904,060,488,382,683,770,458,233,888,712,094,479,628,650,550,756,753,
729,225,645,575,067,799,443,378,443,945,268,901,845,375,781,399,811,868,483,
443,331,703,167,060,879,957,230,434,622,394,129,166,052,658,937,517,138,233,
684,754,081,226,776,563,581,746,175,354,846,468,702,464,938,049,738,644,071,
534,342,364,760,521,316,299,866,239,245,948,216,212,908,728,969,324,054,239,
605,069,843,051,188,480,952,725,780,654,585,926,257,841,050,812,801,722,411,
284,189,116,494,819,984,007,267,794,955,976,756,090,318,069,948,353,812,166,
811,666,409,904,562,172,332,090,678,448,569,784,998,298,919,033,954,185,648,
756,049,119,798,739,559,241,404,850,231,484,057,261,974,471,364,196,995,046,
871,460,293,070,788,616,628,063,307,436,553,285,577,965,360,442,301,015,831,
243,908,472,617,317,488,918,891,328,265,124,847,743,542,230,906,987,675,534,
441,320,387,461,778,860,151,172,717,814,492,006,529,898,443,969,448,706,524,
239,437,920,489,946,695,715,262,285,730,025,720,867,757,476,408,871,535,067,
442,445,388,784,016,427,412,550,208,516,797,339,100,863,266,286,705,844,285,
599,683,249,944,337,986,373,291,492,356,766,765,390,918,600,421,495,474,872,
513,922,667,721,393,607,476,766,963,547,417,606,336,616,544,258,856,628,192,
247,658,603,757,161,856,474,050,333,682,006,168,821,087,724,121,965,113,650,
697,115,267,284,126,660,035,555,776,700,811,322,608,532,828,441,556,028,810,
495,680,475,622,408,331,575,593,936,599,023,810,049,810,764,524,526,728,182,
894,717,767,812,700,327,769,866,607,970,388,379,435,020,495,157,060,476,622,
945,057,416,292,076,515,351,407,817,768,517,319,380,692,302,072,634,327,305,
768,491,178,078,477,256,827,656,337,798,966,365,116,392,292,739,243,139,171,
794,930,223,860,954,769,949,261,731,258,005,500,386,486,107,602,664,745,855,
626,170,548,390,354,876,579,761,177,976,111,048,573,490,044,343,778,932,303,
311,025,705,959,262,209,304,754,688,477,489,400,571,003,430,999,046,237,355,
730,940,504,106,490,351,132,605,176,517,901,702,652,399,536,191,892,508,134,
468,353,721,450,328,679,914,152,158,541,706,471,577,558,761,311,555,945,431,
518,014,359,848,784,706,808,658,915,903,795,634,540,153,638,326,343,020,677,
575,024,128,055,681,251,030,712,678,000,115,045,032,034,411,230,411,409,551,
205,432,101,623,856,900,568,528,625,531,331,714,186,715,532,203,484,027,472,
126,252,823,609,100,897,723,046,108,628,174,807,450,518,881,893,766,185,090,
747,276,657,202,151,272,635,829,757,397,663,836,656,946,405,797,519,814,712,
937,746,204,017,704,442,413,596,927,092,079,266,949,321,918,014,551,744,131,
873,560,263,823,192,854,365,045,472,675,569,993,192,270,528,986,527,044,196,
795,848,156,581,870,164,873,220,185,626,402,881,412,977,093,215,544,162,226,
167,225,577,956,825,936,780,943,778,665,303,990,051,317,951,722,681,928,893,
785,798,971,913,038,298,463,051,174,335,816,380,625,448,592,033,195,534,260,
485,003,872,899,039,833,432,008,363,098,341,629,271,634,533,895,683,484,883,
442,438,654,245,860,075,194,547,589,318,383,063,670,703,057,917,652,063,621,
863,374,684,669,219,966,030,909,436,308,186,085,472,230,119,804,253,333,348,
534,096,199,939,678,861,403,426,506,003,255,572,256,848,029,552,568,950,223,
367,091,032,653,515,409,602,424,114,953,757,779,179,029,518,180,350,442,320,
453,495,248,946,531,535,601,767,685,824,741,725,649,218,541,070,281,748,775,
844,510,594,264,073,618,197,151,942,939,115,341,166,622,290,077,846,244,755,
787,253,145,992,033,751,564,400,137,084,848,743,450,946,519,693,258,281,603,
093,366,357,791,110,945,836,453,202,313,784,423,087,000,139,923,349,755,751,
679,907,253,079,261,941,315,123,375,505,781,519,326,834,026,199,905,437,522,
728,915,285,471,492,769,301,838,356,998,425,813,086,734,607,940,599,091,290,
149,292,335,659,271,308,516,836,284,338,599,589,062,130,366,253,090,374,805,
202,333,205,272,692,951,116,031,293,642,583,390,331,051,140,041,811,350,485,
163,584,580,111,964,427,484,632,622,213,118,778,425,878,783,489,315,318,569,
324,326,448,484,039,336,950,178,357,520,450,469,318,331,365,809,970,277,845,
910,247,731,737,213,050,351,938,973,647,683,993,331,588,654,822,947,550,282,
538,189,029,593,665,539,234,552,009,771,565,901,347,458,963,742,001,853,819,
236,912,150,739,194,576,920,912,941,050,140,748,265,077,204,350,547,346,315,
951,066,380,803,313,394,037,996,218,167,318,592,266,203,653,730,352,420,742,
817,803,672,060,168,799,761,240,017,893,908,888,361,004,777,523,837,308,759,
976,220,915,931,623,276,115,630,637,883,340,390,247,883,437,312,364,330,660,
222,297,968,205,116,753,531,166,048,247,368,074,717,914,684,411,888,268,087,
437,046,641,433,718,335,241,062,553,059,663,166,851,384,896,454,869,172,779,
987,737,496,613,534,552,554,911,731,051,685,799,775,761,231,175,969,084,811,
339,240,047,817,377,430,628,179,701,990,333,242,094,133,224,716,542,042,931,
820,740,691,606,729,617,715,240,142,344,243,443,607,647,051,578,546,951,446,
596,018,377,715,697,061,043,546,756,692,975,928,995,671,181,094,950,779,729,
878,576,468,447,143,458,359,973,207,737,018,984,695,404,508,600,098,181,488,
553,098,867,064,633,150,449,816,976,049,202,520,769,698,569,837,646,576,497,
090,304,147,627,342,375,793,481,708,728,933,448,674,471,594,615,350,757,627,
150,330,624,929,484,350,910,778,457,189,974,619,900,080,178,066,352,144,862,
449,556,776,311,309,571,236,279,641,272,715,208,539,887,768,442,985,014,487,
206,592,734,126,061,066,537,766,200,222,152,109,540,227,518,590,665,823,116,
008,338,685,435,975,759,559,050,038,335,997,126,466,059,127,647,609,100,554,
587,059,864,753,029,857,549,577,484,460,406,611,184,332,902,030,505,099,656,
202,410,602,698,658,031,284,866,569,212,695,593,574,936,014,092,440,158,745,
831,529,494,544,670,594,664,991,264,525,192,385,145,274,075,916,271,675,618,
347,379,160,926,905,545,357,854,773,515,119,768,619,903,055,855,812,745,712,
208,773,592,832,907,774,554,837,968,713,841,879,358,019,190,178,396,852,306,
669,468,158,048,269,648,327,037,521,763,535,176,136,086,176,046,018,008,575,
237,261,009,156,734,646,360,295,408,485,297,454,933,424,062,506,174,316,264,
298,687,027,742,676,572,282,850,339,393,200,595,379,129,807,044,273,940,096,
655,204,229,352,648,431,064,993,761,576,252,860,507,778,277,431,039,959,088,
771,649,045,192,205,925,039,977,359,163,769,134,073,818,532,383,684,185,174,
946,341,776,856,410,689,326,865,215,012,525,721,568,545,686,816,333,489,912,
030,350,261,053,958,988,428,797,469,685,364,538,204,961,978,960,150,287,790,
333,131,202,370,623,138,015,156,221,726,096,441,609,038,035,650,822,461,145,
436,966,822,073,750,246,888,127,885,626,024,580,277,126,618,920,565,264,493,
992,525,049,672,904,062,856,379,482,680,163,761,342,101,892,676,985,241,049,
316,672,115,093,046,119,598,307,577,244,714,757,431,573,285,305,749,303,597,
884,037,510,510,753,284,305,284,437,371,750,543,837,679,682,899,808,686,621,
044,406,985,566,047,006,365,669,998,996,175,973,279,363,929,183,901,974,033,
780,383,239,844,682,354,667,294,991,441,339,931,024,324,767,137,243,278,083,
996,314,960,025,261,590,730,153,263,570,722,231,263,146,986,355,618,718,450,
650,083,704,893,847,912,562,090,378,882,902,978,560,625,981,765,841,660,137,
205,720,213,767,599,815,914,559,691,623,540,048,132,623,247,663,284,535,498,
629,378,519,289,549,099,581,302,403,415,256,287,108,743,759,012,314,703,633,
717,945,994,488,077,596,771,409,011,078,776,907,113,853,953,112,801,082,727,
799,127,695,202,544,609,237,729,779,194,167,137,318,528,835,310,932,660,731,
450,186,170,591,330,881,963,965,454,459,063,081,504,304,740,807,341,849,834,
792,992,000,894,602,220,092,210,495,337,416,189,469,287,977,124,274,450,872,
659,589,057,649,620,330,100,130,474,052,503,654,937,903,532,914,670,250,608,
975,838,192,597,745,951,680,311,781,294,090,128,545,524,181,963,954,284,091,
849,477,223,034,943,028,469,455,853,465,722,036,125,518,789,278,275,618,491,
053,696,375,913,495,497,373,598,972,486,522,180,981,514,651,162,807,905,126,
370,150,040,485,296,157,134,181,372,730,074,168,850,677,661,546,493,023,991,
113,070,479,330,998,186,658,302,642,042,821,852,173,245,405,730,420,753,672,
852,055,904,570,744,763,893,562,376,702,735,445,238,149,047,698,412,991,112,
286,508,790,193,204,525,087,920,595,411,483,140,180,623,138,141,841,807,081,
793,650,283,037,264,628,599,055,175,629,290,532,392,884,101,160,818,081,496,
128,373,494,349,929,932,236,498,075,991,311,975,116,595,265,183,458,585,371,
667,185,549,120,283,099,939,345,050,122,008,227,901,628,744,620,002,534,389,
927,359,200,318,474,808,046,142,589,905,974,524,665,415,229,707,252,456,444,
990,978,707,736,682,467,754,292,425,039,588,752,993,840,176,677,525,575,994,
935,499,909,885,252,658,454,715,748,412,213,557,815,960,985,164,962,360,064,
360,457,792,768,158,463,521,514,545,035,878,994,036,383,151,546,827,398,135,
523,289,073,318,746,717,984,306,809,480,237,327,154,195,525,320,216,558,541,
400,734,226,054,656,214,110,561,843,615,677,393,218,539,771,080,637,984,430,
318,094,192,200,867,647,706,855,778,154,037,688,745,569,256,042,295,628,587,
210,396,199,938,286,230,084,042,544,894,046,611,489,277,874,410,317,302,575,
998,391,752,735,909,653,069,189,967,598,814,540,864,970,663,858,806,337,765,
274,988,303,304,020,235,131,172,738,276,126,329,877,947,306,404,130,766,850,
305,561,547,857,700,382,246,377,011,316,943,808,448,854,301,291,855,624,570,
804,823,200,371,921,091,224,539,135,036,927,489,203,759,782,730,342,689,610,
643,806,822,163,908,936,458,134,637,032,095,018,231,046,831,612,687,438,582,
414,695,470,983,872,601,506,885,222,845,800,031,563,286,622,795,653,088,801,
485,193,601,686,351,726,441,717,541,486,144,597,452,787,943,203,659,116,601,
818,776,769,464,218,883,163,888,146,528,265,195,688,988,848,242,596,487,377,
053,685,338,843,710,541,646,222,314,834,509,795,656,483,474,355,305,705,034,
896,507,973,290,631,774,864,727,141,397,231,177,357,035,951,380,343,013,995,
519,834,210,464,158,533,531,666,282,516,345,123,753,382,605,080,102,270,200,
836,459,665,796,676,119,596,247,841,875,796,340,460,316,297,697,751,818,590,
410,813,147,964,502,078,075,718,764,832,734,199,752,835,256,571,627,118,077,
030,850,775,074,968,383,810,970,495,999,942,806,657,025,097,660,681,815,009,
055,429,159,824,733,518,739,449,551,666,233,057,575,203,434,142,448,231,117,
296,774,970,602,292,017,330,962,359,748,111,909,852,608,285,670,925,569,343,
245,247,545,181,502,469,851,554,496,613,979,371,155,870,189,840,704,283,196,
537,150,744,205,854,968,156,885,931,805,144,959,465,199,930,289,886,523,735,
928,569,484,651,412,389,038,356,718,055,887,650,457,490,948,388,850,133,290,
816,647,778,800,281,268,494,053,864,227,319,729,442,521,353,225,044,480,609,
771,510,639,613,130,658,464,764,531,387,746,976,601,548,612,321,811,929,964,
620,026,903,135,376,454,892,249,971,679,275,656,718,190,046,133,383,370,469,
707,611,130,561,122,526,514,205,805,196,852,022,151,241,302,754,469,646,605,
879,332,169,368,779,198,280,131,328,227,838,073,614,025,883,226,188,834,773,
211,892,695,102,139,608,630,848,869,835,569,347,479,487,292,222,616,384,007,
792,896,875,130,371,540,708,466,187,139,390,605,225,469,791,318,941,604,917,
576,705,292,586,809,215,010,254,428,069,749,979,838,687,137,687,564,284,137,
666,018,074,063,976,792,689,674,408,271,201,134,659,811,005,356,749,154,746,
047,368,215,118,433,845,178,222,382,060,198,688,498,450,941,351,002,073,281,
751,416,668,274,238,377,481,347,845,062,633,972,011,944,254,746,628,114,152,
389,812,979,257,890,249,907,974,007,974,283,867,935,752,596,079,679,470,049,
872,887,279,231,233,734,714,850,673,097,351,509,050,486,260,152,803,671,756,
806,814,498,811,001,880,229,131,934,525,758,263,322,308,107,775,429,926,521,
651,911,610,837,125,461,090,183,251,540,689,053,939,717,501,781,997,657,914,
698,680,795,705,881,820,801,198,747,694,904,850,210,070,659,530,253,269,303,
136,713,135,122,474,070,670,212,393,539,592,816,006,446,883,334,462,775,099,
609,291,049,937,001,397,573,752,673,107,149,947,366,642,029,024,507,149,406,
001,084,599,772,699,066,386,004,534,210,716,263,818,529,105,725,459,475,682,
964,112,619,076,807,436,318,472,539,195,846,636,025,548,628,118,777,650,949,
403,118,020,842,103,032,679,465,268,036,723,443,370,089,000,199,659,115,777,
033,582,493,603,663,754,401,596,033,206,595,758,748,047,964,523,483,889,786,
692,604,666,810,488,131,926,214,017,924,010,985,584,162,818,685,966,972,378,
603,484,479,016,553,714,661,553,082,823,667,565,705,484,030,217,424,060,591,
931,445,701,007,931,942,900,337,216,148,390,711,730,049,577,430,403,838,662,
741,143,637,883,926,341,096,749,452,091,084,457,369,390,346,153,333,353,841,
580,840,789,305,087,450,352,014,973,801,418,043,990,403,868,363,997,083,962,
623,358,660,502,802,479,995,367,308,041,836,723,347,495,265,604,009,415,530,
933,109,401,597,174,398,543,827,001,640,106,598,121,655,713,788,150,031,559,
296,470,628,371,818,115,182,756,953,781,896,413,943,387,094,097,716,981,660,
764,529,901,414,130,047,312,084,269,025,400,637,165,690,312,134,941,790,614,
975,274,662,272,149,175,436,169,323,121,832,932,781,528,459,558,947,307,626,
320,460,362,045,857,222,952,359,784,613,193,733,283,151,157,386,741,421,770,
457,026,589,764,890,990,050,635,360,021,900,751,121,314,631,046,331,241,488,
431,577,219,639,805,981,164,069,645,221,408,318,502,552,163,906,845,323,065,
356,313,285,712,579,840,070,624,016,700,581,348,851,148,298,386,262,239,520,
252,895,047,457,294,713,127,618,592,708,719,052,143,061,862,830,130,229,070,
805,869,816,248,818,566,427,485,660,569,529,829,776,057,162,788,083,603,572,
777,789,182,320,116,807,142,098,709,488,453,844,603,142,403,869,344,065,415,
667,698,398,883,977,668,006,895,547,064,916,709,697,731,438,633,224,132,248,
935,482,930,327,546,922,994,308,935,459,684,699,309,426,530,979,153,751,820,
215,559,296,774,913,348,210,169,475,158,040,864,265,241,911,535,242,712,947,
990,603,559,766,997,953,489,845,619,676,384,278,970,773,631,454,663,287,381,
079,629,127,568,358,303,882,776,112,043,987,767,895,100,579,575,630,416,418,
059,662,538,598,020,884,068,655,347,148,348,050,826,922,585,012,998,827,068,
665,871,755,034,866,785,449,866,571,754,679,777,257,444,711,412,668,553,676,
815,493,059,872,361,767,454,977,879,905,104,660,855,078,226,265,501,261,826,
888,446,794,071,240,573,757,117,533,731,314,701,732,915,374,284,892,254,112,
616,716,041,166,434,563,173,673,200,388,363,465,025,067,704,168,480,170,580,
803,844,687,518,534,804,636,090,852,662,745,382,437,752,461,334,382,401,162,
418,908,972,139,286,867,935,111,731,805,189,529,135,737,462,638,410,600,102,
494,584,914,018,080,873,237,540,475,589,662,495,416,818,124,030,322,456,311,
694,438,646,471,557,428,057,203,702,439,218,931,215,514,258,778,516,334,031,
331,850,645,058,289,485,922,555,954,328,334,967,127,416,193,407,623,938,297,
730,849,271,194,752,012,743,088,216,839,933,843,303,346,588,313,056,849,368,
423,398,028,159,450,819,825,037,106,340,378,212,347,128,305,538,289,401,156,
515,251,343,835,341,564,422,859,110,311,957,384,090,505,430,938,524,925,473,
800,759,916,662,574,038,203,365,422,447,355,356,682,504,004,723,291,022,465,
376,241,213,070,907,357,135,303,060,262,932,074,116,276,602,620,204,548,061,
151,751,122,929,207,616,146,493,714,308,635,120,548,505,504,313,453,745,290,
255,696,453,967,265,396,700,005,111,605,239,913,673,558,304,435,486,659,097,
919,742,906,199,662,054,517,834,804,090,865,633,978,462,360,226,474,171,500,
414,054,473,858,399,014,699,201,646,589,255,513,987,297,968,429,804,120,637,
643,444,153,182,678,856,661,295,472,808,993,798,836,333,318,523,542,538,270,
034,849,012,576,437,989,073,301,748,571,125,805,242,244,064,380,095,214,498,
737,458,393,652,888,212,963,145,602,163,881,083,819,241,927,951,735,377,502,
379,725,998,059,870,876,327,769,661,701,864,691,601,789,170,186,527,427,240,
931,278,039,862,969,243,239,723,493,324,378,169,597,433,480,468,618,705,127,
742,568,575,723,857,589,891,707,021,090,808,432,840,836,576,462,482,281,798,
211,266,965,873,315,106,352,611,701,960,725,725,512,558,477,587,367,791,558,
895,513,211,150,375,286,036,814,942,279,500,651,223,514,234,149,798,743,149,
932,943,099,136,941,140,681,742,900,595,928,319,265,742,870,355,921,389,646,
116,543,162,617,531,812,660,427,557,822,215,626,707,452,038,971,844,403,475,
702,268,025,587,238,247,224,900,748,780,726,698,773,447,300,518,999,566,275,
608,433,265,971,966,340,946,227,526,399,394,297,487,218,290,283,416,583,599,
996,688,718,071,167,215,800,988,104,544,185,740,831,555,440,747,113,207,262,
177,693,008,835,818,567,927,473,103,481,755,474,312,990,013,229,828,047,151,
098,006,062,519,120,592,765,521,169,861,534,812,785,214,560,404,961,781,665,
697,217,429,884,378,299,198,149,340,613,739,145,575,164,500,332,018,031,933,
809,033,122,325,617,324,261,609,261,803,239,462,186,152,037,943,785,343,010,
305,911,752,108,504,643,971,979,165,610,719,348,188,476,583,576,211,765,028,
647,162,850,575,662,652,157,088,430,311,588,887,789,193,736,614,413,989,777,
696,383,924,502,266,370,128,013,404,255,324,209,083,690,292,496,648,107,487,
987,072,138,165,572,834,310,810,219,311,733,646,066,947,931,580,381,190,273,
723,553,513,429,595,054,132,999,350,320,615,365,270,214,766,950,294,790,566,
855,454,214,366,005,232,561,014,378,012,059,619,402,783,547,114,274,423,778,
732,119,728,893,144,765,857,523,185,439,852,320,068,530,556,542,035,355,997,
784,144,068,131,879,378,786,823,345,481,686,980,895,166,364,600,866,156,187,
162,874,322,701,932,181,159,976,905,216,778,839,080,911,458,475,893,157,248,
567,434,220,160,994,673,615,554,892,338,583,543,440,895,023,478,337,113,019,
733,432,098,988,938,367,086,219,184,963,956,749,867,005,525,360,570,194,503,
027,025,340,737,486,637,928,974,540,689,288,451,068,744,098,503,270,112,501,
207,391,004,991,329,099,692,169,340,866,871,078,913,649,619,721,497,009,582,
011,126,459,466,966,981,652,242,782,944,473,339,938,702,109,426,730,125,216,
467,507,193,730,597,183,463,338,900,696,763,125,142,762,300,780,067,533,096,
707,546,077,653,723,548,624,551,187,375,379,454,730,239,445,983,909,304,122,
793,743,099,574,880,776,638,642,061,915,291,105,351,337,980,396,743,788,982,
579,885,186,866,483,406,544,416,706,069,256,213,795,445,663,397,663,029,024,
272,584,596,425,815,999,440,593,923,561,203,890,945,254,532,418,602,685,063,
383,132,216,963,984,399,506,021,118,977,307,695,437,974,008,428,470,640,826,
444,004,016,642,396,516,344,290,602,760,660,479,323,197,884,547,799,658,178,
043,301,100,991,235,906,184,568,206,805,789,015,753,882,930,128,688,033,493,
906,382,970,851,297,285,827,689,216,110,480,286,659,568,645,690,828,133,033,
915,258,039,480,557,122,482,472,916,242,375,341,625,184,303,207,235,102,902,
050,287,739,990,368,808,878,565,293,597,976,783,367,740,332,887,568,890,433,
469,097,921,992,320,225,458,087,967,808,065,039,503,851,409,422,307,811,878,
987,449,950,122,116,122,460,054,353,362,252,909,096,903,608,153,858,880,103,
421,138,918,416,810,147,624,704,764,561,871,447,910,835,734,779,231,956,289,
786,512,872,470,142,943,435,070,717,650,829,240,040,795,709,596,869,489,958,
492,544,824,810,029,184,437,902,205,140,456,124,195,310,975,916,828,018,832,
989,814,926,894,401,858,289,293,887,671,840,998,813,555,652,802,730,797,889,
140,329,004,838,459,229,079,669,188,721,365,990,756,604,311,116,466,118,385,
493,864,147,051,318,980,204,298,064,837,722,116,633,249,491,076,311,681,217,
950,269,217,883,739,581,683,400,771,558,343,461,218,351,601,205,827,469,471,
729,440,011,835,222,921,948,013,678,393,328,970,850,049,615,579,672,069,566,
482,653,756,978,390,082,705,246,650,031,197,425,935,854,849,899,524,917,148,
308,755,985,894,780,341,994,791,756,908,101,495,399,149,611,963,146,257,323,
059,620,803,283,777,248,045,391,529,448,735,336,068,484,851,670,559,216,418,
592,337,849,877,719,352,126,146,986,634,884,565,826,887,405,739,469,675,901,
288,514,446,236,078,916,298,254,979,557,469,737,824,739,925,247,290,055,454,
822,149,987,278,157,883,720,016,554,714,713,437,218,046,605,049,674,702,466,
417,235,671,528,991,974,641,115,644,720,597,599,527,501,466,084,858,011,796,
272,134,604,888,207,328,934,308,850,728,438,365,590,603,395,484,050,339,800,
531,567,249,352,596,171,761,529,583,521,866,146,376,463,497,345,339,842,850,
854,754,623,943,769,317,842,152,271,118,254,301,692,323,648,320,020,458,141,
010,217,984,823,666,507,582,512,635,298,030,133,092,380,525,651,016,058,208,
396,118,911,281,573,600,402,815,835,073,065,078,878,316,285,808,097,802,823,
125,377,601,843,860,089,670,705,317,202,619,432,267,611,131,297,829,640,720,
895,926,789,404,825,111,490,015,760,995,800,299,134,620,898,755,390,815,344,
183,090,623,089,704,028,760,320,751,117,459,124,293,130,876,325,693,702,693,
080,598,922,107,795,961,223,955,453,224,498,497,913,486,400,986,228,894,866,
992,356,344,617,100,870,212,313,681,989,876,081,888,190,147,506,926,287,238,
005,880,806,361,917,645,220,466,714,092,787,983,592,932,030,393,034,048,855,
392,189,930,091,287,685,707,629,489,704,413,992,924,101,356,384,537,175,106,
063,244,999,022,635,173,364,297,169,441,682,377,119,367,917,582,297,887,885,
678,051,599,833,945,471,920,263,881,823,201,718,672,539,999,445,665,783,330,
211,855,774,446,704,602,780,311,927,035,258,898,286,204,186,392,951,505,651,
422,809,178,038,821,570,154,022,921,193,577,495,488,583,541,346,181,268,102,
850,146,892,031,025,253,116,365,932,757,875,415,878,124,403,261,611,704,729,
911,322,559,260,083,537,767,108,704,689,685,166,734,262,679,656,959,619,180,
351,566,551,074,794,112,733,747,862,999,978,183,762,123,365,209,568,387,365,
214,997,186,969,834,683,482,153,650,502,381,855,277,011,727,073,308,361,655,
888,916,066,953,157,626,115,709,745,255,771,500,400,037,157,265,720,436,965,
661,645,457,783,841,737,066,712,528,010,742,449,493,405,859,633,637,123,528,
406,971,196,163,157,677,354,084,488,324,096,612,935,664,975,080,115,462,581,
489,302,573,971,675,720,797,985,050,665,743,610,549,925,188,949,526,943,126,
423,716,045,964,516,413,294,448,687,590,960,816,379,094,773,597,830,689,675,
066,368,150,196,748,361,455,103,375,939,893,976,427,081,004,222,622,853,541,
996,134,172,797,526,725,285,026,226,007,156,743,616,986,499,796,625,406,026,
573,462,024,777,965,213,911,955,963,431,631,203,601,279,911,842,469,502,009,
888,774,602,971,569,087,280,720,802,318,348,895,169,012,086,297,492,514,154,
868,791,960,847,707,717,337,926,351,234,709,151,443,129,136,482,462,797,658,
491,243,811,057,996,576,928,502,467,914,901,228,331,892,506,992,971,810,251,
875,149,016,892,092,228,508,720,997,276,949,908,018,472,086,476,428,290,236,
199,058,816,224,181,229,212,476,027,515,186,793,548,075,974,609,687,803,135,
263,869,743,678,794,559,609,363,501,811,146,836,452,126,731,783,110,489,835,
319,675,217,573,511,739,825,594,540,294,230,874,930,671,321,279,025,833,218,
129,464,823,122,542,455,186,067,732,064,835,069,842,886,145,338,554,473,418,
582,827,115,551,948,411,001,220,777,059,579,768,501,365,755,867,792,290,725,
790,336,685,078,591,135,319,078,390,381,659,441,049,944,467,507,372,050,670,
192,162,712,195,763,262,414,772,259,623,353,872,501,108,614,859,388,077,930,
880,521,504,042,805,752,930,998,217,216,494,236,155,981,439,212,124,046,901,
221,490,004,234,291,991,611,323,326,537,975,108,407,006,334,530,417,920,651,
466,707,466,382,102,085,558,301,480,953,736,435,499,555,475,482,297,365,263,
117,392,600,688,975,437,344,504,940,249,778,663,779,907,142,341,335,903,052,
822,778,360,375,541,326,467,577,871,434,378,187,481,287,082,278,924,000,464,
260,697,417,189,161,236,092,515,893,153,034,796,077,791,397,937,255,202,590,
364,427,150,549,996,385,853,249,479,976,349,306,012,709,311,913,212,068,062,
667,638,241,095,926,427,828,799,025,288,315,571,125,906,843,002,319,534,824,
715,759,934,106,473,398,693,974,004,879,802,845,622,745,186,207,328,716,462,
965,367,165,385,900,595,409,798,191,661,790,757,811,890,221,986,053,342,574,
575,880,079,117,769,358,258,924,880,935,486,208,716,452,051,827,458,724,748,
560,208,218,979,101,049,361,368,892,730,315,917,066,926,401,363,483,520,430,
062,437,156,105,278,553,881,803,226,228,917,556,564,865,504,851,858,095,993,
482,600,551,426,219,134,893,678,945,587,342,646,148,657,539,759,793,817,421,
321,942,350,673,570,495,908,671,832,495,883,106,306,849,649,184,102,097,543,
639,374,991,836,461,604,185,078,237,259,833,273,102,349,981,085,346,255,215,
616,436,830,849,602,848,303,117,706,088,118,516,154,128,220,284,596,451,586,
922,306,955,325,699,689,671,676,191,192,655,668,545,435,216,039,361,837,269,
747,438,455,153,128,737,376,918,266,213,368,573,771,490,343,366,561,648,126,
309,652,971,480,435,044,302,617,259,315,186,105,970,744,029,578,332,178,666,
481,485,817,643,631,387,117,203,202,799,193,214,430,985,542,312,440,947,379,
172,585,404,772,607,231,978,545,317,215,215,723,696,935,439,569,530,853,387,
806,935,053,031,699,068,092,475,925,348,325,136,289,791,781,076,501,361,848,
937,351,487,595,789,842,920,223,171,849,382,264,382,430,598,549,095,844,436,
935,907,288,333,735,339,388,271,205,793,595,152,445,761,579,699,063,561,216,
275,716,896,286,789,471,281,978,828,091,298,533,501,374,030,375,811,837,215,
697,514,047,816,000,090,349,820,849,602,891,416,172,869,947,295,127,778,125,
972,663,163,129,972,894,869,240,938,473,582,531,158,084,998,312,176,024,241,
593,609,873,930,800,332,312,843,794,806,819,889,368,432,308,133,914,635,128,
423,517,950,772,657,637,149,757,899,875,693,065,008,400,756,442,672,855,890,
379,130,640,133,998,693,326,987,995,557,908,747,379,762,976,688,449,312,672,
830,780,779,589,098,661,199,005,785,451,964,846,775,018,536,630,686,965,300,
671,398,210,134,863,214,756,200,619,164,999,634,254,457,869,430,311,817,938,
864,017,426,371,831,351,972,344,182,173,258,631,595,441,253,304,064,879,508,
120,335,373,512,550,656,236,668,298,804,499,799,409,209,553,140,536,115,386,
250,020,826,779,420,564,193,041,809,804,132,265,417,247,657,886,798,027,534,
563,722,493,817,318,298,818,018,712,296,910,566,614,216,191,029,152,117,289,
238,849,128,613,487,241,769,889,052,672,164,483,144,344,788,037,312,706,156,
398,864,376,953,356,604,805,022,654,823,165,227,477,467,556,832,146,432,659,
471,284,491,502,304,139,195,306,741,726,802,990,171,932,634,006,196,611,361,
318,297,124,020,666,794,644,574,817,763,967,864,735,092,068,307,443,063,734,
887,283,038,601,958,566,332,273,524,588,833,235,196,878,315,224,267,969,072,
001,435,173,778,981,757,899,255,975,852,613,668,881,247,099,199,498,741,242,
219,407,306,690,236,058,952,098,427,084,486,435,592,091,998,820,611,870,985,
558,383,967,782,629,347,333,616,729,783,474,500,614,683,458,624,934,365,866,
209,639,966,687,058,324,506,305,735,390,359,074,677,169,584,109,364,738,151,
433,287,896,254,498,042,160,515,668,146,793,704,719,093,923,596,945,940,851,
746,778,397,971,581,423,571,112,399,391,320,652,896,748,422,360,948,456,556,
635,668,749,447,509,327,788,529,714,584,339,270,180,741,757,494,074,930,249,
890,379,975,900,308,103,068,665,365,092,033,311,429,650,662,562,618,625,626,
356,215,649,566,289,711,718,725,443,002,068,270,044,103,604,509,080,911,003,
074,445,782,814,385,892,223,384,680,040,565,775,753,379,981,879,808,423,162,
287,430,303,799,545,740,280,883,571,602,184,064,200,812,534,896,573,169,262,
018,041,106,280,377,476,203,103,832,121,860,441,884,701,470,579,189,686,352,
325,276,455,369,700,138,000,130,973,939,900,235,671,189,584,137,629,401,495,
037,226,106,548,102,811,235,791,254,404,604,096,839,569,388,855,512,558,922,
622,573,596,474,996,194,752,350,486,422,633,288,570,259,626,955,103,868,877,
959,681,407,408,742,759,074,475,669,047,583,045,991,845,234,275,078,192,701,
587,357,451,277,623,603,631,091,640,249,767,723,589,651,065,154,644,553,077,
717,938,019,829,953,299,395,536,429,633,651,144,043,810,718,093,090,073,842,
093,689,162,217,542,753,235,164,508,607,501,096,123,802,531,115,172,842,195,
199,646,924,488,682,832,288,619,226,136,862,545,665,186,225,147,953,830,854,
462,832,547,136,715,393,823,412,231,323,042,535,968,573,298,241,354,765,347,
461,220,119,185,038,832,983,565,055,104,290,587,078,863,262,813,202,937,283,
923,402,210,484,452,946,112,927,344,290,790,008,400,491,220,584,332,140,695,
993,112,937,113,364,480,044,072,091,939,944,453,762,948,506,801,527,590,292,
770,101,189,225,219,560,161,337,576,464,849,657,502,019,857,774,557,027,305,
803,727,666,902,166,047,302,740,832,824,029,628,991,977,377,658,446,789,980,
766,202,611,736,820,166,718,563,647,697,118,162,024,452,244,076,820,881,356,
169,483,623,704,527,898,572,961,513,583,614,128,988,821,485,120,314,552,814,
370,441,453,823,792,426,780,481,435,492,193,762,130,375,109,101,316,592,887,
112,584,247,887,852,333,856,770,431,761,920,745,505,234,068,587,487,051,040,
001,245,466,083,990,613,463,565,637,034,252,717,843,708,088,158,394,881,182,
108,574,462,668,329,765,059,750,269,614,795,654,863,919,648,051,283,414,915,
089,183,731,988,254,602,346,811,308,929,388,646,107,066,548,868,903,444,928,
659,378,399,393,517,885,587,783,369,373,531,789,476,325,918,961,788,310,115,
308,538,004,288,163,053,915,478,529,238,850,788,541,778,946,430,726,916,564,
742,163,843,521,387,688,291,671,465,080,917,050,738,531,044,240,460,665,499,
063,907,565,928,882,612,528,682,075,497,053,282,836,330,433,506,083,618,241,
343,054,454,109,910,336,207,197,194,544,297,204,855,333,503,483,845,322,174,
303,725,938,794,627,975,674,696,494,858,628,564,398,885,567,876,121,605,363,
482,408,760,569,623,490,912,648,991,902,435,340,818,591,281,747,559,478,957,
503,105,342,013,779,735,714,859,335,213,317,787,265,952,305,723,586,000,300,
208,176,780,010,365,973,783,922,208,075,153,945,138,186,514,521,452,745,857,
627,229,502,895,885,415,139,271,399,265,151,194,050,393,449,225,077,575,399,
679,611,289,361,090,895,730,712,779,506,532,972,157,867,837,184,603,365,691,
073,022,426,674,704,858,693,501,948,501,032,354,802,953,585,829,175,949,460,
997,254,134,449,702,301,851,354,732,061,892,754,326,482,164,198,982,999,244,
001,373,384,318,169,870,407,766,805,550,462,260,907,794,535,322,992,095,712,
798,161,069,111,178,903,668,581,873,968,920,445,010,867,112,091,596,727,601,
020,080,021,573,062,605,462,525,495,553,571,086,350,710,504,472,904,334,399,
747,116,584,825,277,019,361,874,170,799,485,981,037,086,315,143,560,831,411,
767,446,272,090,469,689,910,452,196,591,066,080,767,233,674,752,492,316,313,
656,541,831,242,937,240,120,628,214,069,838,650,096,946,130,914,196,593,108,
835,627,186,398,060,564,417,967,174,843,390,735,545,769,304,915,999,137,135,
485,313,475,462,697,668,818,827,325,521,871,392,562,121,337,517,051,942,647,
355,236,266,528,674,753,125,436,995,765,914,676,962,325,078,537,198,758,147,
970,655,682,109,797,331,832,357,810,482,120,297,173,008,525,563,075,057,743,
826,163,145,488,010,340,871,363,833,130,140,306,382,122,253,458,912,307,070,
264,415,205,045,725,905,567,036,453,701,744,311,280,852,643,256,807,105,154,
216,597,884,407,105,727,929,014,132,820,034,888,900,265,707,412,118,722,742,
771,204,167,973,888,669,929,875,048,851,896,341,119,797,446,239,797,827,039,
626,888,952,456,536,264,030,434,053,681,184,607,930,835,164,425,573,200,880,
527,523,904,005,689,298,855,081,926,184,658,402,827,305,100,301,710,297,773,
762,725,979,878,299,379,161,458,833,249,797,863,581,359,858,875,256,723,249,
892,042,118,114,825,788,676,022,369,111,774,971,864,229,279,507,212,174,162,
963,308,685,490,217,849,184,325,296,973,798,219,716,760,728,646,301,079,191,
449,283,434,385,262,072,393,662,026,099,690,225,084,479,532,301,215,538,555,
953,380,035,373,981,699,622,448,355,195,729,408,876,299,312,109,289,180,081,
894,755,881,789,294,493,757,412,474,663,090,137,515,913,903,048,708,867,597,
857,595,639,990,519,305,708,943,291,025,477,708,337,620,643,861,794,141,729,
517,025,560,868,148,686,105,806,583,022,458,400,139,265,688,623,110,255,910,
323,747,400,064,468,245,513,103,626,230,428,300,183,394,304,317,280,570,844,
316,332,822,323,714,394,799,772,101,374,092,422,932,470,507,924,647,500,660,
214,759,961,778,493,541,208,670,095,330,564,040,353,983,157,792,279,809,174,
514,473,080,278,778,292,177,024,530,655,636,668,673,961,036,992,362,338,775,
131,375,107,348,875,058,944,627,650,038,847,986,683,343,506,576,327,926,942,
549,946,597,060,909,242,272,247,906,970,980,084,077,550,320,411,645,439,519,
664,548,505,519,637,284,188,732,829,142,808,172,648,709,051,184,858,030,152,
928,329,071,997,372,286,225,796,713,012,977,191,439,690,885,202,264,154,379,
774,199,252,499,504,290,809,165,496,221,748,588,134,708,194,577,117,045,909,
207,151,438,332,939,838,324,495,505,577,977,383,795,153,850,438,919,521,658,
066,735,563,331,850,959,415,591,909,118,546,401,768,230,777,553,563,886,316,
117,207,074,895,517,890,758,600,844,637,705,544,358,737,471,594,566,673,521,
115,128,428,564,836,760,785,852,524,872,596,518,066,872,861,676,638,306,041,
630,331,542,379,312,136,666,103,325,886,595,480,746,525,391,923,912,101,864,
630,167,969,922,167,836,324,422,495,393,965,711,276,826,950,052,236,522,518,
293,337,836,648,377,953,504,295,607,702,263,655,684,386,709,858,422,883,680,
111,323,305,895,782,151,200,318,066,799,597,380,649,766,866,639,747,542,875,
690,745,624,222,176,945,130,304,165,801,872,982,248,263,489,505,961,643,752,
578,954,265,239,119,490,770,157,549,707,736,247,536,418,150,114,870,625,187,
356,990,745,841,454,161,818,236,150,796,863,599,197,012,102,892,150,637,363,
552,078,235,984,315,704,009,214,975,901,385,698,178,778,955,469,835,469,002,
647,925,626,380,672,047,777,472,361,236,346,130,619,117,373,614,517,986,385,
540,916,079,132,825,071,657,554,344,021,619,772,066,763,232,108,409,596,112,
968,050,975,819,843,866,437,845,733,463,317,557,770,735,509,824,603,965,823,
624,299,466,915,079,030,571,976,553,226,058,667,014,315,566,005,407,747,442,
657,987,836,812,884,157,142,910,290,758,103,101,634,334,138,207,503,452,046,
422,496,632,530,982,911,700,151,795,399,319,885,610,227,059,961,415,110,666,
891,505,262,680,671,335,173,937,676,848,322,669,864,638,828,115,413,306,804,
760,224,942,261,347,076,191,710,935,282,131,985,014,260,449,848,897,145,863,
356,834,081,588,658,203,445,028,804,904,186,736,813,899,935,431,878,923,562,
426,830,218,805,236,111,443,735,864,515,092,019,704,701,569,140,959,156,034,
343,076,341,267,875,921,119,284,319,384,391,243,071,390,647,964,277,511,063,
258,302,225,125,389,458,240,673,509,206,865,099,252,459,117,760,513,255,116,
643,076,149,625,870,827,895,927,306,958,846,872,346,463,703,027,678,768,666,
847,749,864,258,347,201,007,641,794,238,732,572,992,145,976,381,025,490,195,
521,312,520,029,470,463,569,273,138,060,172,341,586,992,249,802,769,283,508,
858,974,748,773,857,799,190,411,531,018,195,061,713,303,405,096,206,375,350,
964,174,011,542,034,338,139,473,839,919,908,451,117,498,303,332,808,258,978,
925,779,868,434,560,936,516,454,199,850,012,644,214,325,051,407,606,542,986,
938,013,564,100,037,067,036,215,258,089,970,118,725,067,869,981,411,416,599,
620,139,968,742,531,126,561,183,359,356,355,669,741,554,992,723,881,795,793,
377,141,148,403,517,970,074,713,398,080,240,214,836,472,437,976,432,504,852,
650,534,369,626,921,029,350,348,648,186,701,131,342,700,520,030,165,840,162,
145,957,429,095,772,117,045,291,619,261,673,400,161,638,959,833,593,781,282,
362,573,675,288,077,153,279,666,003,286,573,289,797,657,793,892,401,114,898,
129,785,636,603,454,972,489,766,983,617,380,885,555,572,137,539,980,687,358,
618,444,040,683,803,735,787,048,618,182,257,699,838,501,276,440,813,976,525,
701,232,713,483,023,465,778,101,168,650,041,445,173,390,645,698,755,428,572,
842,074,678,297,647,378,076,856,534,408,883,663,474,871,466,967,908,761,768,
090,015,853,747,749,869,275,622,532,442,774,112,528,326,851,591,363,303,634,
528,933,062,544,803,369,240,938,578,048,010,166,269,212,045,026,389,133,820,
280,755,411,880,043,965,604,416,649,094,673,014,771,292,397,132,817,179,326,
266,153,364,987,451,497,561,413,599,382,446,289,229,021,221,991,129,769,406,
936,718,048,796,928,943,683,926,843,599,973,175,961,012,676,390,033,204,653,
969,611,454,598,118,379,860,736,775,065,490,513,579,332,768,215,224,643,230,
037,622,391,600,772,759,082,876,495,414,572,869,982,529,771,832,784,417,086,
621,703,858,989,669,829,547,889,366,140,100,116,750,669,911,509,828,057,439,
440,320,544,059,297,610,986,828,586,372,996,237,983,044,696,074,274,284,667,
113,523,172,793,421,129,042,227,770,108,332,005,572,414,505,432,978,743,609,
833,458,147,212,522,199,820,107,871,779,667,883,123,467,132,202,240,012,009,
299,206,956,731,854,547,727,260,827,158,274,752,120,337,746,814,212,571,561,
189,563,074,260,643,731,554,072,879,729,613,082,367,808,695,185,413,022,716,
039,786,797,868,648,994,246,215,891,295,525,395,735,067,712,209,686,890,974,
415,047,428,574,621,575,709,513,128,734,850,273,320,023,943,594,714,264,514,
607,075,259,378,853,876,603,285,703,317,875,859,180,941,674,340,017,605,889,
024,608,155,207,140,510,729,236,282,315,913,555,390,185,717,056,892,706,696,
556,284,815,313,857,093,437,655,900,043,772,015,142,379,704,699,511,640,519,
857,667,328,416,493,366,130,160,729,154,353,448,990,465,039,112,916,570,990,
872,786,974,121,955,321,157,139,038,618,575,921,463,756,217,867,463,435,485,
184,093,405,445,312,486,757,522,984,855,684,278,240,129,892,009,091,590,659,
478,673,909,430,209,746,974,734,040,697,433,399,660,993,698,439,685,483,906,
519,578,729,894,903,710,753,763,064,834,927,468,031,678,642,634,688,742,470,
600,178,410,208,033,927,694,813,139,853,327,077,831,030,888,451,475,556,095,
405,571,616,191,028,110,431,871,952,720,956,760,366,699,006,478,284,781,374,
770,217,833,546,073,033,933,368,315,619,652,742,511,060,961,384,684,731,474,
523,824,090,931,132,123,911,064,154,169,529,078,945,142,525,228,082,751,379,
861,401,273,286,435,174,578,590,555,248,857,499,968,323,761,584,089,035,894,
256,369,232,437,648,120,998,593,403,493,680,720,489,728,711,928,694,976,145,
390,367,715,990,359,753,552,294,109,878,917,633,437,068,366,125,766,125,382,
484,120,824,782,850,999,184,116,814,690,898,107,532,679,757,265,002,581,894,
346,820,648,381,847,596,808,697,337,997,044,361,432,060,245,291,841,797,287,
917,350,536,121,955,972,033,486,785,978,063,092,704,846,475,353,375,125,431,
805,698,440,442,684,645,356,491,134,676,204,255,104,613,654,684,627,792,654,
465,788,878,527,542,550,163,675,646,611,709,301,777,836,183,522,961,981,979,
017,878,159,224,345,844,411,677,165,549,645,331,054,556,919,595,138,565,227,
107,938,201,393,496,255,824,216,377,026,915,075,155,328,198,815,213,009,272,
192,644,651,574,002,497,011,064,603,945,618,797,947,999,084,469,440,270,589,
487,656,437,170,849,783,774,583,779,868,110,598,466,220,469,602,400,959,577,
667,758,480,378,142,934,152,907,087,712,611,079,210,674,103,361,948,160,944,
067,598,402,543,052,066,151,605,767,360,827,880,861,394,199,184,704,577,448,
902,244,722,427,269,258,320,860,273,036,445,150,052,466,692,690,202,583,462,
312,500,273,202,105,484,139,656,723,165,438,046,611,881,130,432,175,500,097,
204,280,014,797,241,773,053,949,304,439,583,386,954,164,671,975,099,248,885,
721,404,900,773,681,585,638,488,362,162,561,343,728,968,000,782,039,846,432,
122,799,121,446,739,043,769,948,205,147,246,487,108,748,577,411,367,775,936,
218,167,333,907,245,177,606,039,487,463,235,495,626,212,273,450,970,186,753,
365,189,346,515,058,863,183,880,700,512,935,734,548,524,664,530,247,130,639,
439,505,352,301,975,353,943,568,690,087,790,344,526,732,839,362,509,182,986,
988,437,841,222,087,505,396,168,287,749,275,928,574,766,521,913,612,448,691,
496,406,245,252,896,696,008,475,073,724,191,084,931,084,924,316,229,099,972,
090,538,486,192,303,183,239,533,419,740,378,313,278,301,564,214,041,019,014,
202,373,948,665,135,904,059,879,884,916,615,372,809,396,348,977,091,826,664,
623,073,097,991,731,469,065,838,477,270,458,844,773,371,672,232,758,515,133,
147,232,265,891,961,721,193,572,818,969,713,517,735,061,890,150,446,154,671,
031,532,102,810,194,092,951,738,307,854,260,743,561,755,479,983,520,749,899,
690,106,582,810,221,213,961,038,835,938,765,548,518,289,164,122,366,128,771,
843,382,120,710,898,824,033,185,403,253,604,080,472,669,043,163,200,324,597,
128,082,026,866,436,803,717,176,240,837,673,870,820,308,904,785,003,935,889,
912,296,279,503,219,608,461,621,720,695,808,255,570,707,866,287,864,309,991,
782,437,721,474,520,933,166,396,899,545,098,438,292,828,518,814,748,284,767,
777,581,439,404,808,610,682,103,124,710,155,190,825,777,164,896,101,686,544,
695,009,038,823,248,986,796,180,823,629,951,764,061,461,603,614,446,859,329,
859,306,125,590,602,602,397,941,374,504,493,903,736,643,625,113,624,769,569,
922,546,760,102,689,663,703,796,942,977,281,414,835,658,718,708,372,890,962,
845,715,586,276,130,514,665,403,237,554,013,140,710,793,927,800,042,952,360,
910,100,749,026,681,166,967,851,229,896,696,230,057,761,989,924,676,451,899,
208,590,541,424,008,716,396,295,956,326,629,758,122,491,707,433,973,710,376,
844,212,261,927,230,899,072,173,887,575,403,541,460,130,365,566,335,152,846,
969,994,217,689,631,508,776,406,879,108,275,233,118,239,904,446,208,863,524,
049,676,119,619,313,707,577,119,450,349,663,779,413,640,427,465,922,673,047,
578,965,872,577,577,106,202,317,809,124,559,164,129,159,780,279,927,411,805,
185,076,342,266,795,916,823,029,669,023,577,072,286,427,253,722,170,852,741,
666,563,997,257,855,838,262,080,122,219,464,372,416,135,243,429,408,432,279,
464,230,131,228,620,235,195,337,395,735,261,963,659,997,816,537,310,130,614,
733,822,119,493,646,783,088,256,789,373,546,168,740,524,349,363,228,137,347,
830,804,395,939,557,175,326,784,085,471,389,687,432,924,693,923,704,455,696,
363,532,520,917,712,459,234,677,313,009,566,101,523,412,712,721,696,999,499,
263,933,353,875,912,154,680,460,517,043,319,203,143,109,314,137,546,835,254,
538,393,522,461,359,255,309,647,957,953,290,760,662,172,386,381,308,218,906,
512,305,976,366,133,803,022,729,198,743,029,161,493,273,984,403,580,144,668,
448,097,349,317,962,027,223,633,235,474,433,038,237,568,135,996,843,550,436,
421,201,293,776,766,133,187,802,746,812,255,129,197,844,593,634,536,441,476,
369,066,271,291,277,184,609,676,798,052,245,788,227,899,287,963,122,610,652,
487,847,155,341,913,646,212,283,044,906,176,548,346,687,956,063,660,875,969,
736,712,941,290,546,238,856,060,904,220,756,313,860,819,826,203,557,725,916,
300,930,333,948,644,157,058,636,253,022,996,479,894,582,167,314,195,088,905,
867,404,059,477,883,129,859,988,508,286,660,921,190,062,702,677,697,739,287,
337,152,321,930,457,510,182,103,154,364,373,438,766,471,572,532,823,264,305,
065,532,080,639,328,222,015,892,222,997,899,164,020,918,876,664,130,630,568,
401,058,805,838,527,879,276,131,120,699,296,741,436,873,992,324,979,574,171,
910,504,881,547,913,096,517,241,171,827,066,954,744,518,484,935,392,944,008,
738,362,658,195,352,606,541,732,066,392,777,225,866,128,158,438,627,543,234,
512,846,926,945,489,645,891,365,627,386,272,951,407,110,358,965,340,843,809,
165,242,052,444,654,809,160,949,207,962,669,304,746,264,513,378,676,931,487,
096,502,828,504,732,841,613,117,176,737,996,112,220,398,530,775,030,405,280,
475,239,184,390,262,272,479,467,322,827,040,312,458,450,648,226,385,724,005,
068,758,843,234,804,398,699,296,384,135,721,682,082,159,157,097,195,332,130,
120,873,669,608,800,105,565,367,435,514,271,838,874,841,684,901,544,076,030,
235,059,947,122,551,043,345,605,229,347,404,816,500,758,889,664,804,133,991,
914,067,526,938,966,641,231,923,730,628,133,176,372,054,722,581,955,035,757,
130,207,037,283,155,552,309,533,793,468,697,928,596,672,845,787,324,178,673,
942,931,008,807,131,569,441,184,713,969,586,193,994,341,270,151,868,897,399,
791,485,346,288,689,078,296,952,732,922,511,214,462,887,111,978,474,746,011,
721,658,465,718,621,480,102,138,667,131,932,238,892,886,898,731,252,894,081,
421,422,720,244,569,398,535,710,575,338,492,598,508,578,693,649,117,727,046,
188,406,344,530,106,989,599,470,678,274,115,904,271,242,408,612,182,385,048,
191,497,374,460,369,544,740,584,347,489,442,598,485,037,394,037,887,448,129,
706,262,606,036,240,904,343,291,077,258,055,656,885,685,640,492,938,333,370,
184,515,379,144,173,763,401,115,928,228,094,593,673,346,363,409,711,123,666,
336,527,307,953,957,554,222,369,165,572,805,419,960,848,587,065,285,513,056,
298,514,525,102,331,936,386,889,475,292,244,953,439,947,326,851,413,805,481,
166,074,101,561,727,217,657,151,634,833,334,875,996,912,707,887,044,162,414,
109,205,542,165,338,573,988,585,982,967,170,614,503,129,798,848,274,053,884,
769,783,921,502,703,875,170,307,477,889,738,453,474,453,445,342,551,659,649,
657,473,265,520,282,473,670,541,968,233,253,477,970,024,395,591,893,441,350,
590,298,484,350,400,661,832,150,427,097,521,248,449,927,121,844,441,559,357,
208,803,077,821,005,357,029,968,530,727,461,788,542,875,117,103,817,523,978,
605,315,967,311,972,482,941,311,137,781,920,654,777,796,767,575,922,679,460,
721,718,522,354,253,965,573,015,519,182,214,455,955,278,144,697,791,664,210,
741,654,067,626,844,937,899,133,178,054,246,173,248,105,234,187,153,051,540,
396,371,397,643,190,245,345,747,815,172,582,856,388,813,892,132,251,154,389,
513,804,481,639,715,721,205,361,616,473,206,498,934,542,008,833,586,465,247,
339,962,604,038,533,033,314,614,532,985,583,329,062,846,208,650,564,921,708,
366,957,181,791,680,841,428,155,969,018,150,720,869,870,511,546,917,308,409,
892,341,471,392,483,729,778,223,734,462,999,467,776,553,649,683,037,302,103,
556,072,204,886,669,818,698,343,742,977,834,301,260,417,677,019,069,507,835,
657,742,951,875,363,526,213,752,239,562,804,109,475,919,658,584,893,478,049,
448,794,833,068,976,178,182,956,622,842,588,363,175,728,882,962,862,815,303,
880,890,455,265,030,847,484,543,222,664,373,616,696,697,384,866,584,378,080,
780,626,960,801,703,468,348,121,599,837,065,012,506,672,986,868,246,187,808,
347,179,123,310,378,186,045,932,640,864,581,953,833,716,830,386,935,703,400,
781,394,203,135,778,733,957,327,272,670,343,283,984,463,110,061,376,771,734,
553,836,310,730,203,018,855,415,820,217,953,735,401,259,236,965,786,171,361,
127,847,933,220,830,042,016,380,908,508,196,586,752,014,392,844,814,137,264,
214,455,833,082,602,150,944,371,063,240,485,324,953,557,622,993,162,595,569,
786,193,988,162,852,196,817,700,103,083,310,298,303,040,702,514,354,385,614,
482,957,357,417,303,584,460,850,862,432,192,710,241,253,671,664,965,013,868,
363,600,938,193,830,929,304,306,149,055,323,384,272,606,128,375,503,351,945,
033,801,412,554,165,500,049,023,071,299,866,933,511,406,589,933,797,520,638,
867,622,365,467,500,130,190,725,440,342,412,594,839,177,968,591,951,004,712,
856,387,358,956,507,954,577,029,932,345,543,541,019,452,674,363,847,988,401,
982,241,959,482,912,831,638,397,393,711,925,072,156,670,855,335,118,847,733,
853,053,836,766,530,816,912,862,335,616,823,175,516,260,673,456,404,194,123,
757,203,318,689,406,671,761,011,039,078,592,785,305,685,045,719,189,787,581,
635,571,464,754,015,627,691,903,175,377,894,167,527,112,362,889,613,087,573,
496,215,533,842,389,167,065,179,256,420,111,557,920,579,667,563,728,434,445,
434,719,520,616,896,696,140,646,793,252,498,757,986,020,737,976,119,179,918,
987,565,306,103,496,140,559,333,630,829,088,237,486,634,504,448,168,197,857,
353,935,014,772,770,158,425,245,205,627,200,022,687,456,903,847,870,553,642,
907,291,491,799,944,695,727,091,037,935,714,448,284,071,209,276,190,853,106,
417,535,400,783,667,745,746,715,439,161,612,661,587,831,982,965,697,031,261,
153,765,029,400,222,138,541,852,957,872,781,173,775,348,879,685,411,279,354,
781,139,306,622,575,552,960,257,949,398,316,919,158,612,828,732,821,334,144,
150,715,151,699,264,289,323,528,346,340,952,816,812,870,099,292,530,937,841,
779,827,175,571,897,909,360,427,094,422,657,616,896,025,579,296,266,417,291,
423,683,119,980,500,944,221,990,899,213,614,401,349,728,585,534,721,857,194,
577,595,815,078,892,030,518,387,641,110,280,530,297,056,558,541,331,129,775,
320,815,444,112,601,793,069,706,839,540,500,877,752,954,708,989,610,607,826,
851,260,318,289,451,729,490,877,187,907,645,351,531,390,127,745,179,862,408,
136,684,490,675,719,816,495,815,828,874,610,036,778,972,902,670,920,659,755,
330,651,402,951,348,817,667,096,864,933,195,364,446,938,682,146,411,955,046,
948,612,849,731,631,335,268,494,805,232,699,985,441,656,152,084,766,176,431,
443,269,751,443,114,548,063,014,792,200,339,750,773,834,163,566,566,070,695,
152,690,695,035,062,890,026,996,230,139,053,534,148,307,045,646,699,656,742,
009,465,589,919,098,043,020,879,838,058,881,208,428,912,560,602,029,351,089,
466,960,866,103,361,158,033,428,359,056,632,998,465,810,762,480,252,548,845,
377,489,259,330,769,120,134,824,725,125,974,235,476,911,110,875,655,662,547,
053,641,165,007,304,488,082,058,110,511,978,546,755,678,418,953,401,193,729,
962,618,150,232,589,756,381,685,459,068,547,453,677,499,291,782,507,842,883,
427,785,628,285,154,622,204,182,103,467,399,127,110,300,027,498,650,394,731,
711,627,661,857,219,095,248,190,525,452,396,252,003,465,098,862,092,380,264,
293,692,971,971,758,330,609,759,259,477,489,233,328,964,477,219,351,556,855,
053,686,760,663,167,053,626,833,136,982,892,117,535,324,538,943,002,323,652,
895,057,264,569,116,820,151,244,391,763,164,431,048,805,718,493,597,416,988,
570,781,840,608,047,252,567,864,214,045,419,840,637,109,296,129,325,296,751,
423,906,089,133,889,562,427,171,565,649,510,089,091,663,355,629,749,506,826,
321,091,431,475,094,154,075,461,344,925,709,838,629,649,714,764,995,833,220,
436,377,013,335,395,422,741,366,033,632,143,786,406,716,174,782,289,176,729,
670,466,530,379,494,368,709,648,662,474,170,349,448,418,916,142,396,094,640,
931,403,018,600,356,702,708,672,623,882,476,170,279,766,387,492,778,158,148,
827,666,998,921,988,699,424,227,322,830,049,943,078,689,204,144,497,554,189,
452,414,461,288,995,553,764,371,946,568,309,775,079,487,957,197,270,311,543,
213,770,227,081,422,772,377,624,396,288,493,748,260,130,728,872,992,746,076,
485,463,623,802,167,443,502,890,297,940,761,534,921,912,704,097,376,864,712,
269,815,167,362,685,080,564,566,305,848,225,882,958,664,239,111,899,684,475,
332,160,439,568,935,188,840,322,699,294,307,776,909,175,309,479,278,249,241,
717,673,605,831,104,568,876,229,822,006,560,999,458,783,377,295,794,712,559,
887,912,551,519,657,044,723,182,218,565,666,339,934,925,925,395,548,993,771,
059,101,638,244,571,297,212,770,064,166,525,767,998,709,699,133,772,495,117,
850,004,331,321,509,376,530,925,254,181,779,600,273,614,073,470,475,883,612,
750,360,705,149,736,372,966,894,024,832,452,428,845,991,592,576,219,102,208,
610,633,176,996,235,664,413,559,272,365,585,339,740,535,153,425,347,567,261,
823,996,280,095,253,701,256,062,862,980,525,203,610,062,928,265,195,399,822,
073,137,165,923,511,837,866,168,158,079,907,850,846,430,230,018,720,949,449,
535,225,657,217,399,832,845,385,142,827,841,389,006,461,918,266,745,497,404,
187,846,070,479,000,700,368,507,585,960,933,414,446,280,722,175,008,680,658,
072,462,952,101,442,433,020,391,598,214,225,496,553,604,507,258,392,210,536,
477,417,006,918,293,872,484,786,091,509,567,837,835,669,446,415,568,398,899,
729,533,323,981,990,126,907,220,015,602,682,565,031,223,157,171,468,520,554,
912,231,578,273,976,606,862,404,687,659,270,882,055,117,637,047,703,470,825,
956,247,111,123,917,877,027,325,052,897,391,009,043,280,559,830,104,635,875,
786,715,156,943,267,111,547,099,408,065,778,497,024,283,598,121,884,125,799,
314,418,214,692,879,163,557,447,440,974,418,020,184,908,981,831,754,399,454,
140,839,606,542,796,547,602,321,184,492,286,588,029,872,717,183,077,425,167,
085,258,038,377,370,473,977,190,500,649,596,853,819,927,281,990,800,294,362,
714,659,348,555,140,924,399,636,639,351,856,635,328,447,381,472,552,601,179,
456,433,536,440,776,629,604,639,957,719,300,948,428,944,471,342,846,360,670,
548,590,262,964,085,666,482,379,022,075,618,254,523,912,311,309,730,202,400,
867,173,702,825,767,556,598,468,809,258,641,595,738,421,277,319,611,131,217,
270,534,903,685,081,993,985,532,577,644,070,607,382,609,217,157,254,737,730,
385,486,930,932,964,491,386,277,931,276,821,022,740,120,424,678,897,818,528,
880,390,157,333,547,707,464,749,822,765,204,892,836,846,561,195,464,607,435,
598,696,853,124,302,969,983,407,841,501,495,017,138,277,482,451,215,577,633,
927,156,026,536,188,786,903,043,838,613,667,964,089,716,953,983,439,143,999,
757,250,523,807,570,852,427,729,677,657,806,264,115,190,640,294,211,599,830,
241,659,969,982,112,499,109,607,615,617,876,681,648,365,668,269,268,656,057,
518,479,565,779,294,347,213,503,588,165,838,573,954,063,545,002,745,530,758,
033,834,928,110,072,992,141,692,097,484,055,093,331,574,985,025,921,552,119,
090,680,578,180,522,422,936,125,807,711,896,782,524,911,965,761,888,076,241,
491,119,915,665,825,044,206,288,738,256,089,165,527,255,583,346,663,211,304,
213,003,681,115,844,258,852,714,572,586,588,730,505,956,136,748,826,838,396,
855,801,564,048,348,239,875,005,538,060,730,800,469,025,189,429,417,498,354,
599,277,419,001,889,587,126,146,823,663,857,657,058,207,656,755,249,009,964,
576,278,162,773,443,288,647,069,624,827,020,960,423,279,740,736,885,366,922,
463,323,473,245,591,457,806,527,595,043,544,494,593,089,119,849,190,990,767,
825,677,679,835,634,511,467,787,331,576,882,756,495,535,886,858,114,890,801,
091,375,866,856,839,491,098,641,326,440,560,924,741,014,087,251,916,821,470,
621,104,470,135,079,072,370,415,898,899,160,761,205,285,054,198,280,654,807,
206,272,807,266,415,413,049,383,009,512,378,314,341,489,126,723,590,297,441,
824,614,303,729,559,722,557,233,570,916,985,765,022,725,159,095,277,196,237,
144,170,733,673,018,607,231,843,636,287,901,814,208,046,832,810,282,774,822,
886,854,722,242,240,734,008,538,018,102,875,978,577,618,927,925,799,597,672,
642,983,004,921,703,864,128,848,241,613,341,328,111,416,800,172,113,058,095,
483,954,519,541,224,352,135,362,218,643,248,870,093,606,843,934,504,647,930,
513,639,059,623,317,890,630,031,118,129,773,487,295,722,913,761,235,566,989,
208,554,098,632,879,748,002,614,649,494,799,025,394,136,830,462,173,598,897,
868,040,903,061,539,804,164,265,435,115,887,766,122,453,254,857,937,568,456,
436,604,927,648,728,884,723,078,547,555,139,776,286,904,200,300,765,093,198,
586,106,344,045,382,187,054,535,847,370,036,596,146,324,427,119,037,963,203,
529,947,731,853,278,413,469,691,241,967,596,042,047,217,371,776,480,928,466,
512,320,858,946,649,918,339,923,828,628,188,446,509,759,847,769,689,056,933,
930,813,781,256,101,565,016,289,540,194,652,030,237,560,232,143,349,419,049,
693,231,421,472,800,685,720,534,413,935,002,436,567,187,278,440,950,637,097,
280,641,807,709,441,929,891,615,290,668,147,614,299,428,163,392,484,280,864,
342,245,720,121,923,947,659,118,171,491,029,178,525,635,028,902,063,955,863,
457,259,593,726,379,285,411,737,865,155,711,307,694,909,008,687,368,010,874,
778,269,494,980,204,073,451,521,112,725,526,496,410,325,157,289,977,607,863,
416,985,602,228,397,357,353,081,517,654,707,436,869,624,917,688,236,941,630,
015,328,164,475,850,013,675,817,956,172,053,425,210,900,611,183,576,544,897,
917,328,942,363,713,536,273,705,624,979,368,717,151,369,132,533,350,698,410,
901,330,652,335,119,444,615,334,067,102,761,797,950,376,706,143,118,843,770,
602,345,061,185,880,528,898,933,745,260,845,095,789,970,263,145,364,818,244,
626,927,954,729,166,270,965,202,033,867,267,727,907,103,284,006,640,569,904,
454,540,380,403,954,346,638,551,930,019,816,083,447,989,988,142,973,278,329,
963,582,683,851,163,723,906,115,188,333,018,050,094,911,739,738,868,886,441,
675,613,516,682,053,619,721,525,816,520,371,481,354,941,683,698,406,312,435,
151,289,071,219,183,850,289,149,253,577,572,152,020,965,474,807,470,142,853,
071,463,277,248,963,106,851,879,743,934,311,218,735,472,092,646,154,488,214,
353,114,164,181,947,524,616,927,736,621,753,233,604,568,295,531,144,214,085,
983,777,786,249,755,705,386,416,192,718,358,309,397,680,782,483,232,317,114,
597,358,058,119,287,527,149,589,351,156,702,622,589,155,046,838,568,311,573,
092,319,287,933,464,957,245,058,660,334,012,611,751,344,728,850,606,893,893,
531,818,606,425,553,875,095,590,007,713,938,160,291,387,789,206,031,427,685,
225,815,019,066,427,233,914,207,198,483,015,838,958,998,751,057,269,802,974,
211,746,990,662,947,760,542,478,242,021,552,695,479,541,676,911,684,850,115,
088,179,103,044,220,640,433,418,034,490,790,981,958,349,379,731,509,793,351,
558,389,364,222,939,656,980,453,105,749,733,232,076,769,125,980,620,018,685,
165,290,771,366,648,073,684,491,357,079,205,702,958,630,899,161,788,915,863,
200,695,167,974,535,380,872,865,048,901,270,817,197,169,125,645,824,988,480,
235,537,025,446,134,660,741,656,834,461,416,019,082,414,835,611,892,556,612,
057,616,855,742,470,494,388,641,553,447,246,207,778,091,120,225,014,655,295,
654,069,908,450,487,871,023,274,514,973,526,065,204,881,044,179,824,128,453,
626,619,895,251,374,833,311,799,123,662,230,621,117,425,786,646,142,652,089,
356,511,522,327,208,789,506,360,458,984,634,486,334,080,858,984,942,364,935,
138,323,064,299,719,037,290,174,334,184,808,381,887,275,279,414,314,939,831,
259,143,241,719,616,614,015,772,930,359,107,105,085,035,454,620,306,139,537,
468,059,190,035,605,958,700,142,108,997,363,065,799,589,558,151,498,174,431,
587,079,835,780,747,659,761,685,429,387,744,329,663,648,304,528,987,183,942,
521,257,382,990,894,726,234,095,903,252,368,205,269,895,742,624,939,046,074,
980,232,922,435,670,772,789,292,621,499,910,711,755,857,524,983,757,405,418,
640,980,573,378,731,085,582,313,961,529,120,977,660,229,105,909,416,317,726,
237,363,630,516,052,654,422,106,012,507,968,880,758,875,748,732,960,597,782,
098,276,061,784,131,126,880,269,523,775,806,883,295,135,048,532,963,951,379,
628,767,678,828,231,269,114,065,898,375,919,606,866,315,345,875,924,760,118,
723,212,659,156,620,134,559,275,229,185,953,674,257,544,071,874,127,242,480,
327,668,794,700,743,287,540,901,047,936,357,750,497,519,006,460,357,257,621,
657,331,691,285,147,865,324,951,637,673,300,469,974,988,859,037,995,061,166,
566,181,240,214,236,428,135,826,696,355,116,176,554,261,005,054,765,775,753,
647,711,477,125,980,575,042,452,351,020,009,364,816,485,121,377,527,910,647,
707,480,397,673,576,644,862,839,102,536,011,041,901,011,621,619,129,822,980,
149,990,822,214,553,742,304,576,897,014,658,222,156,931,119,665,080,544,888,
826,508,575,577,527,603,691,585,431,604,858,052,783,834,294,884,366,896,206,
935,339,964,592,667,906,626,081,173,330,452,993,968,910,193,181,262,122,816,
197,865,509,500,896,662,354,484,465,751,786,681,339,208,584,505,907,843,345,
162,296,533,028,211,012,542,900,695,461,043,071,915,421,576,208,587,436,087,
035,415,604,465,318,293,105,700,682,187,103,080,376,918,362,410,979,867,647,
599,472,679,266,170,618,801,814,863,025,081,733,534,363,563,129,722,801,476,
322,147,636,488,471,722,465,056,101,176,437,424,579,315,113,956,658,517,853,
423,532,051,201,334,089,700,154,749,789,031,886,754,396,583,581,959,062,873,
274,724,163,424,724,872,366,022,793,011,758,824,947,239,540,511,450,000,804,
073,558,817,846,133,903,967,537,895,860,865,881,834,136,868,376,943,126,541,
110,953,974,945,507,256,139,585,154,037,451,597,591,139,547,162,240,723,883,
036,717,248,831,375,006,674,811,949,084,128,164,414,593,284,233,196,689,261,
480,733,021,025,646,156,155,580,928,457,591,949,066,550,249,035,124,543,897,
417,981,120,842,924,610,650,099,408,268,579,005,241,362,109,703,302,110,099,
963,303,545,239,835,233,846,332,436,041,965,530,921,969,160,611,616,750,077,
615,621,937,329,527,488,332,658,219,685,017,992,575,342,375,341,809,694,514,
322,285,587,046,637,203,972,856,362,144,850,496,307,713,757,541,678,987,849,
620,481,871,215,660,043,242,320,970,233,708,408,508,893,361,616,604,201,944,
215,641,782,894,244,348,581,621,328,548,020,010,911,682,914,415,422,001,282,
653,062,928,084,157,684,696,640,102,579,380,116,133,777,468,035,466,818,056,
461,399,714,204,893,718,658,404,657,874,075,796,363,892,984,173,914,382,987,
647,734,240,726,507,696,264,709,326,770,704,848,351,661,957,346,116,597,616,
558,875,597,319,679,675,260,461,557,544,105,720,816,146,591,566,545,756,185,
317,892,007,219,755,177,717,641,912,865,025,850,608,766,892,196,911,142,910,
717,613,879,804,869,444,139,201,066,800,288,827,051,289,250,127,411,035,936,
944,182,430,191,702,792,633,541,080,463,789,450,936,322,571,074,838,496,282,
155,859,369,292,013,966,934,084,558,683,639,778,184,609,970,018,167,257,002,
947,835,285,474,535,801,479,032,677,802,244,751,105,939,549,510,474,857,134,
583,156,889,318,916,280,486,913,545,794,878,714,707,512,206,449,337,005,649,
067,554,297,808,050,716,732,944,165,222,475,395,945,565,212,149,405,393,284,
879,029,979,513,412,692,714,197,507,792,588,984,502,240,578,464,657,546,479,
481,433,825,150,301,275,916,964,051,548,108,402,982,863,868,276,509,453,836,
213,157,246,308,831,255,797,776,986,288,847,058,504,942,332,039,747,950,780,
914,506,061,976,072,292,467,194,949,852,105,764,184,485,113,635,782,943,940,
654,742,978,670,034,481,063,750,865,866,613,405,468,883,886,651,002,762,598,
640,806,478,173,496,676,202,652,371,091,832,500,211,752,655,209,405,711,540,
271,590,111,140,591,337,285,290,224,911,244,863,725,300,406,199,014,646,367,
941,474,884,047,834,220,651,198,909,336,360,555,036,563,207,973,646,186,302,
417,162,620,203,075,334,455,490,161,456,513,828,923,428,092,181,209,807,203,
444,321,309,054,219,275,270,534,067,060,017,905,660,899,249,902,170,801,058,
446,845,806,740,597,589,983,341,992,952,270,318,696,237,025,164,337,785,750,
884,888,357,856,536,227,256,264,677,059,812,912,024,120,138,300,904,038,604,
501,023,523,755,992,631,516,788,377,941,377,573,601,647,157,964,925,010,866,
843,419,581,925,551,720,799,724,009,583,807,347,418,023,233,213,533,630,366,
843,932,152,492,354,767,564,143,927,195,182,102,465,818,636,965,642,548,693,
711,287,156,406,330,709,008,655,170,013,045,538,791,857,315,051,256,892,325,
239,604,189,223,467,090,532,785,282,095,653,338,352,610,210,669,690,929,954,
532,135,919,812,590,995,836,048,295,617,847,906,026,712,671,015,308,746,680,
620,157,672,034,079,603,683,550,848,888,089,869,810,460,899,372,589,541,267,
067,121,339,683,906,136,406,023,806,880,726,693,813,020,007,546,199,543,249,
503,595,794,381,283,810,594,955,847,677,009,838,268,483,667,602,843,545,947,
170,676,708,768,408,405,383,152,771,623,467,072,457,292,641,779,018,592,216,
739,246,069,543,901,218,489,104,775,569,756,722,721,232,360,086,111,614,068,
783,710,956,048,207,422,788,410,952,974,090,081,782,831,433,728,958,611,103,
635,217,217,952,601,683,764,556,596,283,431,505,803,940,512,633,553,102,938,
267,808,718,769,486,846,001,003,835,623,595,939,695,098,842,273,702,975,322,
440,375,550,421,329,426,232,616,765,826,193,311,276,801,284,702,254,346,871,
160,658,552,956,866,753,556,949,379,134,813,954,873,856,204,463,255,274,217,
554,031,607,276,816,280,019,811,652,891,226,757,196,199,293,489,425,838,045,
088,757,213,896,264,946,721,321,929,793,898,744,299,825,538,231,346,002,750,
048,719,844,549,298,479,091,760,061,067,346,720,821,172,798,624,677,790,228,
109,897,202,473,643,725,908,162,557,669,680,391,048,049,477,167,809,353,050,
381,277,690,977,943,632,350,802,262,298,886,650,426,938,166,933,305,519,601,
528,612,552,070,509,883,621,385,083,450,076,013,819,418,696,981,507,616,213,
816,056,012,291,396,088,312,579,668,017,043,708,789,180,771,697,444,914,168,
674,933,022,442,672,793,498,544,649,169,937,161,936,846,834,382,276,365,965,
392,107,359,209,991,191,016,670,289,315,579,821,615,913,611,952,275,803,007,
109,330,499,469,307,188,197,780,552,314,733,509,998,454,787,741,048,882,442,
133,894,492,945,198,580,608,128,264,467,519,872,751,750,029,354,122,082,239,
912,672,200,209,492,857,590,173,338,191,202,492,507,841,928,323,597,750,981,
118,151,604,547,859,489,627,394,959,544,806,904,550,034,032,632,363,266,066,
195,553,661,418,789,153,045,081,234,830,431,473,706,512,400,381,948,542,039,
688,303,819,458,278,237,523,860,693,303,307,344,265,657,229,537,696,265,650,
078,644,294,296,966,171,976,062,187,782,717,576,922,701,842,183,562,580,950,
911,964,161,234,269,558,128,529,647,823,866,791,654,725,939,354,412,906,425,
209,887,470,614,768,172,672,407,636,773,084,795,817,246,305,701,144,596,917,
090,676,544,119,078,578,148,115,559,847,739,767,416,047,776,322,318,183,814,
910,542,182,158,917,140,244,313,180,382,721,883,119,782,478,938,947,752,119,
532,180,813,563,791,198,399,213,669,679,842,554,116,428,867,832,219,364,134,
206,751,999,531,750,157,987,422,672,465,883,395,387,320,409,018,535,334,345,
695,251,899,425,501,182,893,334,483,205,605,866,840,377,147,131,659,451,047,
122,981,087,842,291,294,905,346,018,926,372,904,024,809,541,440,111,670,830,
050,352,269,574,367,165,098,145,012,647,378,268,097,632,138,907,356,127,850,
912,940,819,959,017,947,906,597,532,788,909,022,452,764,279,141,192,017,437,
199,954,700,920,799,680,120,239,255,084,962,258,561,023,723,425,964,564,623,
375,309,479,856,409,263,153,356,774,283,270,286,903,925,613,118,746,726,409,
911,870,365,252,422,969,850,137,051,973,872,535,441,476,472,885,053,753,164,
244,286,037,554,661,503,809,930,794,425,460,334,032,441,260,378,803,728,115,
183,411,965,087,627,189,602,452,784,357,770,465,660,086,846,884,477,468,277,
974,935,435,872,531,009,432,668,069,039,316,048,149,468,543,071,367,863,595,
962,142,365,658,073,821,448,905,180,102,346,333,300,326,314,470,144,983,114,
836,377,977,814,025,602,177,704,285,779,553,544,634,605,030,039,488,357,035,
303,783,778,155,529,149,019,231,018,512,842,890,445,049,658,432,102,566,654,
399,169,191,031,307,299,889,701,286,386,746,638,746,186,222,970,294,713,836,
517,238,458,304,103,353,600,099,161,855,696,963,585,540,284,058,380,867,437,
773,426,067,662,823,070,480,406,526,976,879,663,854,279,090,523,010,971,634,
991,186,520,266,188,911,790,162,485,542,830,362,918,982,895,550,250,507,026,
696,734,169,463,096,765,205,315,532,095,990,040,759,687,923,645,834,219,278,
938,486,567,554,986,799,684,980,913,999,885,735,611,895,538,006,154,456,205,
824,828,410,844,488,438,300,077,689,614,213,093,267,726,839,130,169,783,617,
011,318,688,071,600,029,117,089,798,247,382,440,146,476,098,335,170,730,254,
938,374,891,238,666,243,387,273,150,065,705,494,177,121,833,678,520,957,631,
862,468,156,573,605,070,559,041,231,302,494,216,801,285,002,362,738,578,896,
060,122,687,641,753,784,470,658,858,147,103,011,604,617,755,331,924,901,675,
571,241,801,736,284,294,371,287,336,846,495,066,507,931,319,063,076,475,284,
905,395,521,177,917,292,942,532,150,782,504,995,057,922,436,464,124,514,441,
103,274,803,405,946,768,534,754,847,906,202,482,093,913,811,728,364,624,397,
573,129,097,497,404,103,088,345,021,591,024,163,123,028,492,644,768,743,246,
790,277,529,322,452,618,136,429,418,687,703,999,778,813,010,358,689,848,874,
073,563,048,920,374,384,661,562,316,437,154,896,632,343,885,649,137,038,823,
127,117,780,274,963,214,179,947,876,279,957,482,169,144,839,590,355,238,646,
447,518,266,765,322,552,743,836,142,448,341,475,607,970,017,309,322,085,253,
167,648,693,093,183,313,184,067,410,016,757,218,411,149,133,208,184,935,479,
207,096,465,127,981,486,391,526,950,151,352,356,091,410,009,363,057,439,750,
881,727,050,886,819,305,162,128,348,827,030,527,578,761,237,536,706,112,893,
084,036,130,513,078,958,946,441,324,615,471,166,743,631,232,292,132,636,096,
879,650,037,400,342,952,782,917,882,588,234,798,781,468,166,356,560,500,160,
284,082,400,685,714,020,033,620,544,775,273,929,972,169,561,558,807,126,215,
295,232,880,111,184,639,559,713,204,327,574,205,449,046,028,461,701,065,629,
426,408,687,868,619,517,162,760,852,743,900,844,884,531,360,599,488,300,335,
672,293,057,614,105,302,130,429,045,361,520,076,443,003,659,865,069,985,813,
268,240,436,120,064,747,196,760,954,595,001,398,812,195,984,850,427,759,058,
837,867,775,305,911,981,568,822,374,884,228,788,291,578,776,462,540,494,319,
210,758,351,945,506,774,964,369,586,099,338,215,853,123,679,519,564,408,524,
194,539,860,833,616,224,199,834,850,682,175,365,815,437,374,737,292,117,545,
145,634,820,001,505,806,028,023,777,887,991,250,308,413,780,902,731,367,683,
767,562,206,686,333,434,409,219,473,160,511,905,753,466,582,513,174,544,122,
791,674,644,755,993,966,541,173,544,016,866,236,995,170,343,269,904,648,243,
524,634,807,880,165,688,629,949,842,020,198,888,168,606,952,000,592,081,141,
094,979,582,448,382,344,142,937,330,315,768,372,850,605,229,873,590,113,574,
085,560,394,827,278,927,471,285,299,518,782,793,155,939,307,435,683,751,904,
551,097,426,095,635,794,601,854,117,016,479,859,864,916,584,095,318,447,343,
309,368,948,964,295,468,905,053,204,204,395,133,319,174,028,720,966,211,775,
680,122,544,450,193,491,693,434,043,585,750,458,575,634,149,932,319,646,020,
431,222,316,541,623,775,113,116,785,398,762,321,964,996,186,345,671,862,735,
388,303,305,184,972,334,252,200,980,186,412,914,089,258,743,151,450,782,167,
304,091,148,341,165,185,768,792,662,857,356,756,214,086,628,217,068,536,565,
549,771,639,358,201,461,308,846,599,475,624,767,550,533,107,072,056,901,435,
952,987,087,059,245,626,371,946,013,959,470,052,082,833,664,882,068,934,378,
764,331,975,642,309,258,285,727,596,843,190,610,056,503,887,469,084,443,472,
054,325,500,894,919,725,021,209,380,777,517,113,143,628,339,218,925,767,078,
774,510,938,157,161,055,679,463,597,466,282,102,552,451,900,973,713,525,685,
827,423,526,490,838,704,228,224,939,778,145,341,521,193,642,860,270,307,389,
975,923,988,082,659,881,100,540,663,680,181,256,174,091,048,152,226,332,397,
088,386,356,662,934,690,521,369,921,760,037,900,285,825,392,070,383,230,108,
521,126,924,866,937,427,811,412,592,067,782,660,606,454,482,350,028,034,158,
222,870,629,023,153,186,649,929,887,849,884,451,862,476,125,778,443,571,737,
373,371,024,562,837,592,200,368,074,927,075,199,312,968,941,590,856,862,766,
179,658,022,040,121,136,271,217,753,648,429,740,732,915,786,568,076,904,698,
414,831,397,441,581,854,529,474,651,178,039,056,888,568,823,304,724,422,634,
620,903,479,793,136,064,503,721,967,158,919,035,130,343,642,487,919,353,818,
998,303,362,437,077,140,223,074,194,797,903,894,440,840,145,485,326,280,615,
117,713,923,003,565,586,918,847,405,022,077,341,043,378,332,393,942,648,956,
892,840,897,098,409,586,969,075,234,595,303,653,403,171,363,419,300,324,862,
496,077,207,102,982,845,382,197,644,946,669,194,031,248,062,835,251,093,191,
762,197,267,457,275,439,102,783,779,309,864,735,388,127,572,157,697,399,556,
502,786,412,662,142,354,714,306,211,726,626,563,467,909,722,408,024,906,423,
067,660,015,254,471,893,371,564,094,575,579,386,583,084,829,513,456,849,623,
116,008,868,027,846,831,562,268,131,704,413,619,806,014,931,443,111,447,481,
968,163,317,511,113,392,436,495,603,500,129,244,914,910,597,752,237,634,876,
493,099,640,581,621,647,300,891,387,520,191,208,519,488,518,634,949,989,338,
057,667,822,211,716,055,391,177,938,073,884,793,762,829,699,145,491,444,088,
039,637,690,418,705,307,736,842,806,021,602,609,746,245,501,352,200,714,630,
778,062,553,980,782,551,908,498,373,007,822,623,000,987,783,409,706,687,497,
457,917,867,178,793,296,130,311,729,718,296,644,640,332,331,099,341,809,101,
525,597,563,597,064,465,215,694,241,918,038,898,930,410,107,266,064,725,832,
608,028,644,047,958,730,502,642,750,160,160,356,465,114,239,137,510,175,063,
001,586,533,622,375,996,239,708,834,371,936,356,420,030,375,798,669,655,019,
025,184,633,466,200,152,040,326,129,336,791,757,068,659,599,765,674,007,729,
694,482,052,025,106,914,587,613,766,836,968,426,729,738,255,012,527,359,871,
815,457,756,324,985,644,824,333,171,143,969,053,677,420,376,813,594,713,857,
523,411,600,706,543,584,127,358,659,784,916,040,669,071,789,140,758,025,681,
338,949,398,056,525,722,988,026,786,445,131,854,428,594,403,290,104,099,019,
702,647,989,419,084,273,369,252,098,060,056,855,663,819,807,027,539,875,070,
293,208,026,335,634,691,099,927,485,026,499,433,868,893,136,995,108,728,711,
111,413,564,111,406,031,266,805,765,027,313,141,612,734,508,832,123,201,160,
863,105,506,228,742,073,242,213,492,094,568,027,478,873,518,253,283,011,097,
261,878,652,529,868,930,209,460,932,428,390,125,573,980,002,635,851,918,321,
746,554,513,674,099,707,990,521,139,491,175,009,800,097,185,590,789,946,417,
595,142,611,493,307,959,976,113,122,560,688,342,989,157,451,201,489,694,881,
760,275,544,564,178,452,718,870,168,665,389,120,648,298,223,732,518,722,539,
157,254,194,996,986,159,692,598,724,228,066,620,314,731,665,158,281,011,377,
193,523,874,600,445,668,949,039,736,205,738,463,160,132,535,300,224,911,591,
260,904,897,007,642,810,084,660,650,066,618,455,178,263,667,423,292,958,192,
058,109,069,631,707,307,223,622,722,580,323,035,891,263,723,324,100,861,283,
256,773,651,836,775,901,653,001,131,814,293,615,775,099,616,515,130,693,323,
912,149,819,861,036,735,913,807,805,919,453,711,286,442,552,167,645,313,638,
871,672,156,420,845,754,798,641,165,798,443,665,619,747,980,023,179,714,367,
471,397,364,544,258,760,072,204,813,310,882,654,152,132,293,926,040,906,224,
477,701,721,263,131,592,974,206,486,175,586,730,399,520,508,260,169,575,570,
425,292,369,770,474,768,930,552,375,889,506,978,960,269,343,520,985,070,991,
788,170,552,743,941,142,252,526,641,813,085,063,717,814,963,175,119,018,728,
928,208,000,544,037,240,165,242,352,013,272,556,563,504,211,414,906,124,168,
036,046,760,585,775,752,178,865,872,997,497,850,230,941,578,816,653,785,402,
042,212,694,790,894,277,363,262,403,802,067,966,009,066,587,582,500,062,586,
010,527,693,420,692,273,326,539,482,716,817,621,841,750,962,257,988,433,148,
893,135,559,741,499,933,004,154,924,386,940,021,302,136,102,235,722,866,775,
977,501,246,935,711,032,230,242,488,760,831,370,584,279,958,264,143,815,459,
507,977,268,369,260,631,303,574,147,850,033,379,768,209,918,673,323,435,071,
914,663,350,367,517,790,564,495,677,097,058,012,651,039,974,793,643,393,955,
492,517,926,164,819,254,966,778,217,981,439,154,459,211,371,609,806,032,689,
221,972,428,206,060,688,354,195,859,645,712,814,412,778,133,839,726,682,035,
330,091,126,215,161,246,426,483,267,766,573,255,534,341,289,099,638,327,839,
486,220,656,765,041,903,849,301,606,406,157,271,580,961,879,704,179,309,783,
521,224,374,915,570,931,694,785,129,252,776,658,701,745,664,141,548,023,446,
696,386,640,582,030,905,470,668,365,505,553,924,493,238,011,236,590,829,918,
174,866,326,852,389,707,899,049,178,585,410,219,939,061,752,076,910,278,338,
522,560,048,745,362,303,369,335,855,900,097,484,775,386,711,906,298,854,017,
473,373,444,302,573,486,591,707,245,018,823,151,121,547,396,047,665,191,105,
469,932,980,717,578,093,312,962,240,709,736,800,379,327,229,951,994,330,149,
210,292,861,142,163,677,610,014,806,513,859,932,226,978,952,758,779,665,052,
522,426,287,806,709,912,526,593,307,487,893,158,917,135,718,645,234,280,175,
840,280,749,311,698,104,976,098,782,005,207,544,156,907,608,026,321,703,431,
620,008,332,927,116,537,967,903,320,610,385,026,235,794,591,361,943,225,529,
904,320,551,849,529,695,247,379,893,230,260,084,405,045,784,284,737,121,214,
335,867,436,608,848,152,982,485,859,056,204,254,904,392,242,601,656,328,281,
429,926,739,012,929,428,857,621,196,494,529,272,877,975,470,581,783,064,088,
360,648,859,586,823,697,724,379,094,280,622,656,129,121,876,717,729,428,582,
372,165,419,755,652,666,709,224,650,084,628,981,021,313,531,586,952,726,551,
031,709,729,647,730,278,934,821,777,516,326,344,306,921,935,540,063,221,864,
295,284,971,306,158,240,928,855,583,522,244,504,567,817,823,011,350,479,319,
785,906,689,364,893,755,922,336,422,976,074,808,335,073,030,949,880,857,979,
153,414,464,708,546,768,940,429,793,364,711,814,030,615,049,805,838,083,326,
421,285,792,660,654,241,696,241,939,449,614,048,061,887,447,313,478,953,259,
120,761,511,043,706,191,102,225,403,589,226,127,811,916,956,792,237,461,459,
066,168,367,912,644,381,460,476,007,028,616,379,259,696,260,330,649,088,988,
445,254,724,009,227,425,796,615,314,270,996,257,676,072,116,670,346,336,958,
067,028,833,295,611,979,165,147,272,292,798,457,481,161,478,800,518,815,264,
741,201,275,405,764,609,428,035,287,188,874,483,755,697,707,123,494,801,346,
676,826,314,404,017,440,756,119,761,899,689,934,190,057,764,250,198,828,661,
939,492,356,205,930,166,138,452,898,898,993,130,356,326,174,865,937,322,848,
199,920,982,174,537,194,019,439,076,843,779,534,664,094,688,890,677,106,620,
963,567,874,083,284,579,110,666,293,667,215,221,967,501,067,841,326,220,689,
577,607,675,854,785,046,870,556,922,075,007,279,946,520,884,132,180,927,531,
275,956,017,124,534,043,477,776,305,017,160,042,264,375,400,640,363,846,453,
337,362,438,365,554,307,421,668,895,799,530,893,667,255,794,157,970,768,974,
201,624,565,749,153,473,562,009,828,617,876,508,010,966,380,531,203,666,321,
237,162,147,574,018,446,112,610,949,165,298,182,276,657,051,412,382,674,776,
187,652,516,849,264,936,010,377,901,053,094,574,326,876,965,093,414,939,533,
694,076,834,716,143,007,622,954,000,467,385,171,421,392,926,415,515,307,399,
385,164,551,735,797,807,404,488,173,295,541,994,164,575,183,528,943,753,768,
094,382,906,944,007,291,595,445,094,456,971,330,734,295,851,662,390,162,766,
875,933,509,608,329,235,650,051,368,742,590,780,177,140,624,761,651,167,976,
324,241,193,966,293,260,869,498,497,485,897,920,636,078,563,299,474,510,244,
262,216,132,496,272,447,621,116,529,226,322,612,495,696,416,760,595,321,825,
784,731,496,191,822,617,311,455,323,016,974,034,698,373,457,778,301,638,026,
759,066,020,601,332,267,693,764,771,612,988,704,086,165,303,901,604,016,429,
789,775,566,787,616,544,714,413,415,165,339,671,001,064,633,873,380,171,685,
046,805,668,346,277,478,203,845,372,430,117,049,474,278,341,744,167,337,989,
428,664,066,342,975,958,157,106,505,450,113,544,925,388,866,558,075,277,918,
621,872,077,593,773,571,982,790,044,791,102,186,381,409,817,458,985,789,942,
013,564,745,736,265,532,534,781,953,302,300,012,077,211,598,255,514,397,563,
383,312,028,962,783,567,599,433,683,331,185,185,340,351,017,365,350,630,661,
394,001,073,647,584,009,251,273,899,789,804,226,886,959,497,284,467,108,221,
335,650,158,913,607,371,064,386,027,600,842,188,987,787,122,141,707,223,344,
851,419,173,210,586,288,810,505,427,049,134,659,085,882,663,857,330,109,590,
160,579,612,696,410,278,034,437,593,306,844,795,259,697,991,072,774,063,149,
927,807,018,767,929,246,790,597,003,821,582,685,590,712,583,724,966,692,405,
115,715,429,052,736,966,552,616,239,660,867,278,689,490,596,388,441,319,794,
126,346,707,348,586,791,407,003,480,730,229,575,359,771,424,950,321,256,682,
431,889,111,015,753,810,553,520,886,873,857,752,741,587,750,138,935,984,117,
079,133,928,169,987,631,549,635,025,866,200,412,136,058,511,270,107,826,010,
375,933,723,574,880,783,146,936,295,217,032,292,118,801,513,910,916,709,667,
715,461,574,870,372,171,416,395,940,054,730,460,383,250,320,935,738,041,619,
069,397,753,210,547,458,872,044,109,142,896,923,696,472,200,214,592,829,342,
485,835,198,533,380,604,757,747,568,534,428,853,222,988,519,081,635,723,961,
499,625,096,935,508,477,548,618,260,763,409,936,298,491,765,352,456,764,571,
676,394,425,916,803,270,965,878,376,833,355,563,587,466,513,715,307,418,307,
545,281,704,739,958,964,432,422,363,031,515,495,255,190,904,458,313,876,141,
159,367,613,738,344,084,386,648,966,063,366,748,641,297,305,733,727,657,597,
792,355,616,852,180,765,742,820,631,994,121,493,202,613,891,831,311,351,474,
720,701,111,693,840,605,913,460,148,164,377,301,645,975,190,641,100,145,702,
009,877,379,064,331,752,523,997,012,822,079,172,075,930,289,299,126,772,722,
960,637,850,816,725,495,696,143,336,167,557,779,188,451,120,542,229,924,143,
966,337,934,738,409,288,510,481,333,443,124,000,262,966,071,764,650,896,372,
821,276,189,320,609,641,426,777,961,187,151,869,589,498,955,448,125,221,956,
827,651,439,259,574,290,693,200,795,010,828,726,456,857,968,815,103,058,411,
383,683,346,700,823,563,969,052,647,799,838,979,324,041,756,444,967,352,206,
473,894,685,990,841,928,634,812,337,399,531,153,807,725,823,475,199,423,196,
411,249,341,931,547,072,292,183,017,433,590,305,619,780,196,489,385,177,566,
268,039,031,200,542,559,140,566,560,094,275,057,429,959,970,220,597,147,734,
901,509,975,569,322,220,026,478,014,861,451,525,548,569,321,421,296,705,003,
780,694,810,558,401,869,768,634,887,997,705,587,222,380,946,525,067,325,901,
880,177,924,969,668,758,004,973,087,692,403,053,418,947,921,916,253,924,362,
217,403,689,969,034,663,744,023,078,453,845,590,298,373,378,653,200,571,346,
296,885,908,608,322,584,964,529,781,208,541,854,116,905,716,650,622,975,577,
205,475,857,077,369,263,387,744,493,033,450,266,306,106,335,923,941,301,022,
185,870,467,417,299,107,408,820,002,526,303,944,455,712,333,434,799,502,264,
385,920,352,218,555,218,237,673,398,764,554,486,106,836,360,900,793,077,384,
967,541,592,574,897,224,970,089,097,032,496,540,440,273,065,479,830,132,792,
140,426,454,704,564,977,502,207,964,082,094,087,974,910,171,829,998,208,285,
608,320,568,681,927,506,671,969,961,565,085,871,619,683,730,080,030,772,965,
090,794,825,549,529,152,940,400,357,379,853,051,810,262,408,305,790,312,610,
848,407,814,597,367,334,880,306,444,648,969,821,253,039,643,467,348,456,854,
107,278,650,034,483,512,433,793,880,234,100,826,534,603,159,425,070,806,025,
421,508,405,870,985,443,404,502,323,229,970,735,499,429,326,317,487,325,241,
090,595,299,454,957,979,018,887,892,424,209,129,840,579,979,754,925,275,306,
824,073,461,087,061,218,810,538,433,402,440,962,357,720,963,595,697,306,869,
036,727,477,943,788,656,547,581,069,283,728,481,303,922,647,664,481,048,728,
958,822,918,967,461,485,995,224,041,928,744,900,631,381,555,825,470,355,873,
308,543,856,630,323,248,161,893,218,763,918,641,497,050,673,775,940,327,064,
446,470,639,776,447,417,580,057,096,589,251,203,211,935,855,963,162,222,858,
631,323,362,056,930,390,488,712,434,170,029,846,328,805,150,050,126,351,349,
131,787,962,333,244,668,799,876,518,309,892,508,085,603,609,422,556,767,489,
650,678,661,852,800,707,479,964,461,649,513,747,353,142,884,294,551,143,246,
903,316,140,186,425,812,858,543,440,666,741,284,288,063,159,399,771,794,293,
639,393,882,605,487,089,224,883,716,902,393,590,152,495,831,561,518,901,706,
756,352,469,868,904,276,904,614,561,858,689,769,585,944,797,027,804,453,973,
781,707,873,778,916,577,800,175,990,517,033,572,694,918,871,022,177,301,914,
445,105,395,425,018,307,349,879,940,912,840,683,139,358,116,179,540,535,361,
353,732,259,565,241,434,208,437,333,325,213,021,370,399,886,875,236,180,106,
205,460,314,151,776,588,019,610,973,669,214,764,958,996,504,761,426,317,669,
109,439,520,714,272,872,103,577,943,318,704,354,258,482,266,744,696,599,418,
224,705,537,070,060,644,724,976,209,599,956,030,999,426,253,681,253,361,545,
529,797,968,352,841,876,496,849,427,515,202,524,441,121,530,572,764,654,242,
162,200,316,322,420,395,056,518,284,763,352,283,343,327,162,805,783,800,590,
751,572,478,120,653,275,838,717,996,953,692,981,546,666,244,232,464,809,158,
717,141,979,600,210,626,035,969,221,796,512,133,183,179,916,771,360,163,273,
240,923,184,330,116,990,095,203,650,785,136,130,485,218,218,926,116,267,927,
251,911,116,035,308,004,271,636,181,858,710,609,995,884,246,908,660,459,960,
279,358,799,140,695,923,814,851,063,525,000,272,196,148,724,989,362,085,824,
588,164,554,377,315,420,192,718,773,325,594,643,655,416,342,958,461,792,416,
363,886,369,019,681,802,887,113,488,874,021,043,285,904,857,007,750,272,430,
007,712,692,614,235,488,629,998,230,074,081,469,695,375,551,385,294,360,200,
347,353,950,824,260,987,152,552,926,597,219,401,738,773,864,690,519,067,999,
111,367,568,323,375,469,043,735,565,925,890,653,314,230,149,224,101,345,708,
951,349,697,854,696,287,678,361,484,459,653,647,494,101,442,399,325,094,032,
266,742,946,191,512,073,567,274,066,141,820,135,319,961,529,922,216,054,964,
559,880,386,642,183,006,840,952,135,634,323,612,907,684,033,444,269,252,147,
914,422,130,571,090,094,681,499,216,348,240,891,406,865,011,305,518,507,262,
025,306,277,824,202,899,851,761,885,562,427,673,377,960,919,610,577,924,156,
680,574,301,691,722,144,538,239,007,937,845,887,469,046,087,612,423,089,964,
789,821,377,872,154,462,729,679,048,571,688,644,529,731,536,359,248,370,654,
851,091,112,177,961,598,040,659,155,485,161,038,159,244,583,469,837,592,466,
273,405,682,210,574,460,440,329,991,955,785,649,736,844,180,879,274,064,773,
478,077,693,233,133,258,826,181,076,065,188,940,955,745,859,352,805,141,027,
680,124,159,451,888,462,516,635,218,582,678,698,585,842,561,726,666,306,605,
051,343,773,880,734,687,167,917,866,369,574,115,631,297,889,666,575,567,749,
822,234,989,668,086,898,033,794,103,822,440,501,879,250,266,798,326,907,009,
152,756,384,843,008,828,027,031,771,832,874,912,731,739,484,592,162,183,292,
451,951,792,254,626,193,628,858,028,038,092,925,055,271,794,670,474,751,614,
147,586,762,825,335,477,071,559,130,025,443,655,595,553,111,503,354,589,879,
791,516,787,281,156,802,007,220,292,442,765,735,448,206,790,745,958,581,029,
117,513,662,837,385,451,142,909,046,806,333,645,966,268,650,828,534,015,720,
788,698,344,176,727,379,573,520,200,859,026,731,905,100,626,449,516,787,824,
295,967,295,044,398,249,613,364,702,976,941,368,076,206,179,231,708,380,588,
651,181,360,844,116,587,030,730,782,244,320,136,039,724,642,691,417,564,869,
011,419,968,967,932,224,168,401,625,769,728,907,504,230,417,968,169,303,765,
947,912,676,026,462,854,283,902,043,586,443,908,759,174,264,137,377,242,041,
737,349,648,777,130,468,701,139,832,306,585,626,657,284,127,999,751,522,511,
898,534,462,685,981,056,289,058,938,409,368,435,337,211,749,942,482,728,959,
775,678,198,641,548,084,389,648,524,798,756,437,751,062,415,875,470,928,922,
306,263,630,170,717,734,963,337,659,371,377,840,773,573,444,504,827,951,459,
369,653,072,209,702,434,170,607,121,578,005,833,893,412,539,066,480,595,781,
072,782,920,289,615,511,894,273,585,637,468,739,118,190,347,129,620,168,686,
949,924,942,070,995,300,726,918,586,637,794,777,609,790,140,880,885,785,584,
931,958,067,521,850,378,074,144,401,782,153,738,537,337,447,149,373,812,175,
537,422,881,630,494,413,987,518,779,271,309,709,817,388,790,034,672,285,028,
329,562,893,650,030,445,668,152,641,905,990,970,508,292,567,069,625,919,010,
349,088,136,656,949,664,571,205,850,771,685,177,548,854,764,470,933,364,830,
349,405,254,033,245,421,129,184,810,521,696,789,119,565,234,534,521,349,204,
538,599,526,024,520,948,769,221,414,903,341,275,854,539,012,198,185,224,342,
764,218,137,217,811,181,879,362,914,310,379,197,214,603,141,399,678,862,105,
205,223,037,278,088,910,022,398,861,470,310,885,507,369,908,810,605,162,160,
778,871,668,264,753,162,723,442,737,827,466,720,802,525,352,286,368,671,499,
312,215,108,523,662,846,429,216,164,351,629,460,949,519,847,253,275,236,580,
221,003,472,266,890,639,881,943,055,689,618,082,728,750,847,273,225,071,940,
008,301,360,389,995,382,246,636,611,818,708,544,013,356,715,966,738,269,759,
413,628,958,396,934,138,285,756,093,473,324,110,335,713,998,847,952,717,278,
071,207,730,696,229,434,231,077,834,072,488,655,774,021,136,124,533,223,069,
214,720,650,926,717,475,756,509,172,577,667,492,668,164,350,012,497,815,594,
516,690,058,514,883,614,423,742,308,131,010,822,524,439,234,344,382,784,189,
506,062,646,867,507,658,267,157,400,385,235,679,455,801,675,507,562,570,627,
065,310,171,784,809,506,054,488,770,877,086,635,642,576,777,413,861,526,474,
887,086,819,304,592,050,757,797,191,618,175,164,102,845,109,730,820,104,657,
909,319,654,538,418,742,955,148,216,023,691,983,662,458,809,842,261,105,145,
911,769,613,170,060,824,749,983,626,155,806,747,726,236,661,611,572,290,179,
390,914,316,078,310,491,624,061,460,147,335,983,632,016,284,449,283,945,022,
554,099,800,601,548,861,648,458,525,265,467,656,525,135,030,775,737,783,043,
203,980,747,281,817,883,601,001,265,095,946,670,119,620,488,207,244,620,081,
359,530,759,205,726,166,432,447,667,120,553,394,354,840,521,499,036,875,721,
246,872,111,882,152,919,617,841,164,282,294,464,918,475,689,197,281,714,833,
206,569,440,587,996,565,272,416,958,349,068,520,331,782,324,182,675,102,045,
455,137,762,612,060,301,449,947,211,683,079,518,681,226,186,357,763,925,800,
649,696,901,666,949,914,055,772,799,497,120,802,592,803,130,161,204,245,475,
250,115,199,792,213,512,972,624,808,825,594,851,128,886,710,345,630,770,532,
565,257,629,686,396,537,380,987,230,485,589,770,840,359,092,227,162,790,917,
407,945,085,179,511,021,834,770,016,740,001,653,081,546,246,646,193,846,760,
470,897,541,369,856,451,192,629,900,847,187,719,290,902,092,412,674,334,720,
384,002,041,216,634,111,015,773,468,266,896,720,485,770,926,410,267,763,650,
089,400,691,742,358,342,893,148,548,837,388,980,556,930,636,373,471,251,930,
238,796,568,085,643,898,868,788,337,688,605,279,479,549,364,622,614,282,730,
470,657,124,043,744,357,828,975,925,023,812,049,079,460,184,570,057,925,152,
819,363,601,432,199,939,236,808,734,344,768,555,149,457,626,301,971,344,504,
827,814,908,341,653,230,303,582,628,948,661,054,655,871,352,259,526,177,812,
956,913,675,794,149,913,550,571,029,484,085,936,745,247,508,719,985,067,227,
612,944,248,822,983,442,723,343,420,499,659,026,105,893,003,978,215,119,904,
796,003,678,518,951,257,188,240,191,228,762,424,230,360,142,650,778,238,617,
652,799,716,104,125,417,640,835,052,806,061,615,516,579,562,185,642,164,626,
426,241,815,102,532,690,294,864,076,801,075,317,965,835,215,573,605,479,963,
893,400,182,108,130,600,402,805,049,091,548,074,919,741,321,357,641,085,031,
825,734,326,037,315,508,542,837,546,815,891,468,957,032,871,560,624,670,257,
575,408,746,761,090,780,335,745,855,299,724,890,976,657,981,123,269,753,766,
735,772,750,732,970,378,454,249,629,396,567,282,305,705,396,273,538,937,236,
635,490,883,259,678,011,744,413,908,749,892,825,464,632,470,574,656,145,941,
922,202,957,471,185,299,617,466,871,261,348,014,340,559,717,121,136,519,402,
736,417,079,274,237,870,324,407,110,421,808,822,882,477,376,841,968,054,560,
396,839,703,174,346,121,728,668,361,407,927,963,265,369,932,577,675,152,656,
194,947,300,771,024,953,107,017,455,745,781,326,991,437,106,161,830,746,307,
453,841,961,267,435,170,304,788,683,368,164,706,890,222,852,122,599,034,810,
878,029,928,816,309,785,789,423,692,347,158,601,187,049,249,555,180,539,197,
220,417,056,028,523,563,894,915,161,497,621,500,024,699,579,335,763,137,868,
824,764,225,855,468,531,128,899,013,419,562,920,727,065,292,637,528,060,245,
392,065,656,574,829,723,425,466,282,692,245,928,799,381,460,983,301,277,295,
174,968,048,943,008,295,049,486,455,989,979,338,614,371,620,733,010,105,878,
231,543,360,947,355,014,370,881,160,597,869,533,752,734,848,130,654,684,998,
935,426,959,560,535,959,724,788,377,380,550,487,547,495,145,811,255,430,125,
725,534,622,823,248,837,908,183,617,817,375,131,758,554,479,395,352,533,947,
443,067,612,731,536,999,103,840,340,706,619,863,126,058,380,774,679,715,008,
658,455,649,000,110,898,777,837,996,978,576,598,287,533,985,354,342,921,755,
368,772,910,356,933,670,315,402,127,662,711,535,332,255,911,894,795,596,100,
007,394,701,709,865,600,604,653,598,352,291,243,793,733,858,734,005,541,004,
922,924,900,816,340,840,267,818,842,140,125,154,260,667,277,905,312,936,720,
972,928,429,385,530,292,917,907,816,183,398,218,743,711,202,291,893,500,042,
638,121,583,213,031,119,550,478,840,175,884,768,003,403,722,394,454,095,070,
153,013,290,939,504,628,787,270,435,491,656,963,120,335,938,466,581,078,084,
075,488,457,829,158,831,705,108,973,437,021,021,158,017,136,051,969,977,944,
346,669,170,216,658,348,006,544,351,235,515,057,076,362,813,362,043,406,573,
527,786,518,802,671,682,111,069,588,908,779,136,423,221,930,599,990,764,743,
810,670,350,239,779,598,217,681,953,679,392,621,011,766,989,216,058,860,922,
328,990,727,628,598,364,291,671,836,056,029,798,173,451,779,817,969,212,615,
008,416,804,157,342,609,371,852,532,920,137,920,131,484,349,522,278,932,501,
241,193,047,332,361,258,267,659,334,326,559,317,831,682,456,941,647,122,472,
062,415,049,932,272,384,473,775,634,676,450,095,189,716,312,753,471,185,804,
333,603,417,621,027,045,996,761,531,097,811,057,029,952,885,690,366,351,964,
674,325,211,019,488,573,028,865,696,340,698,832,849,545,315,698,854,794,652,
185,490,326,440,660,281,734,814,698,643,575,603,600,717,238,749,088,491,339,
777,296,441,410,662,559,508,872,937,250,675,879,152,413,419,316,020,012,811,
564,264,247,471,429,007,970,524,788,785,568,485,236,051,613,553,163,524,881,
871,483,994,047,786,935,259,805,068,055,613,771,754,250,468,006,486,452,576,
379,253,079,308,610,063,298,614,061,465,971,372,954,036,681,302,825,870,144,
826,499,005,434,048,518,904,040,483,315,559,620,300,840,880,238,796,356,628,
029,520,631,181,138,330,070,928,039,999,091,981,634,619,341,496,397,328,527,
925,614,386,850,941,205,154,688,272,177,797,113,973,808,278,136,316,054,596,
078,475,514,915,792,987,162,219,988,514,359,426,829,891,222,470,495,727,906,
551,753,938,778,807,401,255,515,147,964,161,579,827,689,628,149,407,340,315,
231,193,719,443,292,857,272,936,485,636,908,494,885,870,527,544,504,850,812,
880,964,253,201,783,903,071,336,141,606,207,650,531,579,518,837,488,303,885,
336,778,567,664,001,527,580,251,707,383,897,071,609,434,227,661,887,683,346,
449,388,354,722,905,978,774,678,174,585,974,034,017,909,261,956,423,663,861,
788,534,285,280,317,308,873,014,129,274,091,804,539,363,851,351,650,278,694,
121,506,562,898,469,860,327,123,101,679,013,265,696,434,624,961,225,701,763,
002,888,479,468,696,596,978,170,481,937,248,773,185,213,791,638,445,997,311,
474,905,442,848,518,998,869,941,329,382,268,451,497,523,641,504,047,936,243,
202,447,110,876,056,936,216,722,840,099,210,154,801,473,461,736,833,079,556,
068,682,500,226,576,142,277,872,952,199,272,389,628,243,487,627,738,943,910,
993,337,286,332,194,383,333,154,705,138,221,593,428,429,158,450,074,168,910,
845,152,267,953,033,176,279,525,454,540,145,423,801,480,386,186,242,686,510,
224,797,318,487,983,916,335,011,628,664,168,099,776,161,676,823,203,374,975,
146,207,127,106,990,257,262,611,637,106,574,543,828,703,649,330,678,415,995,
422,705,953,514,600,519,681,989,162,415,854,758,548,422,948,041,502,384,513,
202,143,521,394,051,977,103,675,459,576,549,161,697,581,047,169,591,346,354,
243,740,011,822,184,024,952,425,834,537,021,987,017,738,630,290,716,266,311,
604,633,677,436,286,182,202,776,737,149,057,829,683,182,784,228,852,414,564,
698,891,307,693,808,582,028,897,960,540,384,182,088,714,399,754,944,765,877,
042,491,079,253,577,857,391,809,448,039,581,404,128,750,525,761,550,188,017,
741,727,785,444,109,869,162,755,258,341,637,980,817,044,609,808,439,800,430,
596,031,386,178,021,797,934,392,158,726,265,621,588,409,147,579,773,793,704,
314,619,595,229,086,493,593,118,976,754,523,574,301,288,516,827,497,659,045,
774,492,652,310,004,143,345,593,753,727,967,143,733,231,701,554,408,620,561,
622,361,042,282,826,471,455,779,978,175,282,435,007,756,313,771,414,555,802,
157,653,796,225,080,278,876,615,877,170,743,074,396,667,545,726,142,295,721,
159,551,089,340,411,184,766,588,878,167,630,521,890,691,982,658,157,377,934,
054,362,535,644,325,401,897,576,389,210,077,656,699,338,559,692,869,393,695,
078,053,984,433,259,024,999,720,995,206,167,014,130,074,200,520,659,242,174,
147,586,126,343,793,793,717,247,848,709,945,609,441,116,877,236,451,201,881,
272,623,892,581,957,790,058,152,336,849,266,538,142,300,776,001,594,253,750,
561,382,912,096,005,266,024,239,002,312,565,310,058,115,529,638,564,327,938,
393,892,264,486,342,051,645,784,814,637,321,503,112,500,145,954,413,179,006,
951,683,428,439,080,753,078,533,919,520,037,502,775,259,375,708,482,803,050,
112,234,945,085,610,956,599,596,734,000,884,228,452,052,764,094,663,234,531,
772,654,949,024,252,426,035,301,803,180,219,037,106,068,657,134,814,085,415,
230,634,334,712,037,794,004,381,522,252,811,997,639,028,605,191,604,286,533,
843,242,838,083,842,007,494,138,075,135,960,108,128,373,749,945,806,798,607,
260,846,826,749,921,623,875,723,353,015,270,950,508,952,866,340,585,586,389,
841,818,047,059,833,832,014,539,732,660,629,116,883,050,308,729,223,042,499,
272,690,761,586,324,395,172,610,933,430,337,587,688,320,219,850,222,574,638,
507,805,217,703,445,968,626,322,363,614,101,921,515,087,176,522,422,399,463,
203,560,919,763,982,786,771,621,290,474,718,634,099,133,435,318,205,988,804,
190,219,152,834,056,548,830,195,503,209,369,879,784,611,973,374,420,481,582,
447,146,613,749,004,799,043,496,655,511,494,517,423,388,337,538,560,390,911,
884,712,783,258,217,810,775,413,938,347,209,375,287,087,575,162,874,196,876,
109,793,522,728,497,945,126,971,935,488,048,020,946,617,412,584,847,872,710,
947,075,663,692,200,798,719,655,563,099,547,173,912,082,882,534,341,831,238,
921,080,130,647,355,620,875,749,444,539,810,236,359,628,168,444,152,201,898,
585,199,148,462,213,329,865,797,804,632,348,955,180,468,915,833,703,682,035,
343,238,846,031,454,795,359,372,792,737,309,749,166,247,376,033,729,627,706,
014,649,685,077,249,874,670,728,158,587,253,727,622,003,025,598,473,174,492,
113,925,909,999,559,927,038,810,743,722,222,978,983,280,699,705,000,006,121,
335,986,908,734,648,441,470,102,210,326,907,849,288,838,481,276,980,460,179,
194,965,728,508,131,994,952,145,663,663,371,627,695,659,697,065,089,645,834,
598,214,450,753,088,546,884,937,286,286,666,330,276,346,746,471,458,180,748,
633,345,223,401,628,329,348,952,852,757,126,640,598,493,320,218,187,105,573,
813,166,532,191,865,596,650,657,409,186,528,056,816,748,743,808,165,052,505,
069,682,904,069,180,177,237,023,769,367,916,202,885,450,322,844,095,310,019,
931,150,812,411,136,109,885,019,642,122,055,374,197,731,515,269,513,832,177,
890,102,840,335,398,543,253,554,720,620,219,182,057,735,718,248,710,792,799,
384,150,656,860,090,260,114,164,220,232,761,835,925,070,077,863,815,952,802,
273,567,446,552,612,303,685,123,903,768,813,519,689,547,834,310,530,981,649,
444,242,965,406,834,526,748,043,260,251,175,532,362,164,429,709,941,629,282,
897,786,433,394,258,404,725,038,753,368,685,655,226,221,444,341,054,561,346,
324,532,562,686,931,054,097,372,604,490,413,244,025,041,781,861,449,254,368,
338,422,625,855,403,141,929,976,634,613,142,603,140,833,664,581,616,101,631,
953,961,152,239,772,361,736,542,285,632,046,077,435,049,003,596,196,992,354,
198,010,697,050,802,813,653,335,230,520,812,905,416,847,871,414,321,865,088,
663,193,123,539,953,977,824,075,247,865,600,523,659,708,671,169,661,412,421,
226,516,928,212,840,042,815,870,270,512,373,599,147,254,865,653,357,743,171,
906,029,894,310,221,960,509,302,232,676,327,079,468,022,501,424,484,867,929,
528,875,932,209,840,822,618,989,830,007,775,531,727,021,880,730,085,946,428,
778,327,492,833,126,098,189,219,941,632,143,830,923,408,481,013,691,220,753,
946,459,517,529,450,333,796,332,361,574,135,031,393,886,295,961,226,146,608,
447,960,973,489,247,382,934,888,625,534,530,011,773,786,945,111,737,786,149,
546,616,845,138,220,384,985,734,720,576,302,296,902,906,800,665,815,544,827,
503,765,420,795,670,365,565,700,095,413,759,081,756,043,385,822,419,221,936,
811,070,899,537,099,206,654,569,664,025,474,219,145,651,832,085,709,879,892,
157,427,195,386,511,293,450,162,908,502,923,447,508,507,753,133,255,608,772,
419,862,162,136,305,450,713,084,257,911,155,717,638,608,831,458,128,255,230,
512,191,177,919,700,438,813,165,653,583,998,884,160,292,484,352,133,045,537,
350,781,566,849,563,622,525,399,933,597,359,193,189,903,236,383,927,466,224,
733,250,689,422,580,146,678,623,466,997,827,971,761,211,144,454,599,259,552,
397,695,379,796,200,329,546,700,567,712,865,743,497,024,213,334,316,530,935,
846,071,816,747,455,771,284,779,368,681,843,892,569,426,089,415,421,966,742,
469,729,100,422,441,664,581,398,543,175,530,545,794,522,537,159,386,457,283,
185,416,904,749,869,721,051,147,779,881,714,966,940,081,253,694,991,324,504,
198,465,115,962,784,955,673,572,633,776,838,990,352,011,008,405,590,788,075,
493,356,865,748,604,956,366,470,371,818,379,837,895,218,527,651,025,930,678,
473,513,297,973,303,938,058,717,020,158,996,864,350,495,528,128,302,551,323,
144,701,340,784,268,678,003,417,291,248,527,612,056,781,206,715,762,193,688,
247,833,956,783,708,890,205,383,220,122,823,923,160,853,662,251,397,658,054,
065,928,088,727,403,267,680,688,173,080,642,448,277,023,218,906,298,635,906,
112,922,532,707,837,828,646,047,366,881,612,291,107,443,807,268,636,590,493,
947,552,742,396,508,241,775,823,547,167,646,022,090,548,976,601,333,451,436,
436,900,903,575,898,928,884,920,665,794,202,384,984,763,392,762,265,044,049,
190,073,169,758,001,111,241,492,935,703,998,509,115,623,055,657,634,818,126,
641,627,452,028,591,134,955,171,674,751,388,676,961,166,364,614,855,069,496,
593,850,096,282,695,749,121,052,614,559,945,800,079,668,168,085,498,701,914,
416,035,339,362,469,709,125,980,357,198,443,141,594,380,157,597,341,956,245,
902,406,437,721,468,463,706,984,010,674,446,467,679,129,333,487,193,980,937,
370,601,672,522,640,332,683,385,417,866,642,152,378,381,759,209,228,880,848,
431,107,451,887,281,958,352,998,906,981,969,709,051,088,030,846,500,158,446,
750,369,173,244,007,050,319,738,739,493,793,596,253,707,482,867,129,184,678,
390,707,955,621,614,245,858,778,448,924,577,954,775,489,070,497,539,257,937,
984,061,176,980,065,154,412,510,790,675,250,018,935,738,889,799,984,452,931,
185,709,303,741,722,643,720,322,691,625,158,765,042,799,642,349,255,080,419,
702,225,226,948,387,302,069,640,675,975,905,017,606,872,077,829,623,656,652,
384,514,802,730,201,942,890,824,251,891,245,546,587,055,810,972,523,786,475,
734,087,962,658,995,161,793,791,753,159,958,072,055,342,630,745,896,903,333,
438,286,747,622,979,277,534,078,522,123,185,718,948,933,455,395,119,832,399,
335,542,306,601,147,221,363,918,314,838,437,940,131,535,365,518,910,402,924,
131,054,114,543,163,817,947,870,472,059,662,662,164,129,473,173,056,988,152,
965,927,622,006,696,539,765,424,281,314,371,398,223,865,377,214,702,385,545,
201,897,805,598,204,176,047,100,907,899,547,235,175,421,376,825,915,537,481,
153,202,783,727,177,206,674,235,595,380,899,401,803,699,617,544,723,665,477,
191,790,323,292,119,427,428,671,712,873,160,353,477,613,615,340,361,124,728,
368,945,431,373,624,051,789,480,135,751,066,737,923,815,170,928,553,380,124,
421,907,924,737,109,706,398,175,915,492,416,473,079,095,637,260,272,894,937,
666,319,354,341,893,950,520,419,677,113,257,258,929,863,716,612,318,865,229,
376,820,245,715,943,518,831,435,932,219,880,248,263,541,569,230,387,708,268,
619,528,098,976,185,777,138,239,256,062,073,513,973,582,440,033,415,221,737,
451,572,149,768,196,944,118,859,056,048,057,546,357,038,844,251,592,098,549,
887,264,767,673,164,445,630,665,609,930,229,529,941,417,668,676,680,134,442,
075,766,716,572,135,231,489,366,920,267,385,487,815,147,169,882,755,891,425,
699,226,069,905,300,870,949,487,097,374,251,667,364,350,861,341,254,088,426,
657,787,918,195,457,094,973,109,554,651,767,541,908,460,516,802,800,246,195,
546,683,625,442,416,552,110,482,501,271,391,939,437,008,959,970,307,289,011,
077,195,328,612,671,538,000,956,728,125,600,679,738,682,474,164,958,297,121,
805,530,830,714,649,445,000,226,801,743,681,825,914,083,168,007,686,199,459,
192,539,445,680,660,635,775,709,216,087,529,203,858,020,742,215,161,290,963,
953,572,272,077,694,032,036,179,574,835,396,100,404,526,478,170,518,837,295,
126,212,688,178,230,188,942,400,653,093,702,644,179,294,392,723,734,404,503,
492,217,016,324,057,385,202,492,445,701,477,302,759,337,542,717,953,701,310,
581,550,089,158,439,119,008,740,926,107,560,606,833,538,859,525,786,086,579,
100,961,091,207,195,377,049,894,326,649,856,645,210,006,269,100,634,273,456,
779,480,451,872,997,196,919,093,013,613,196,440,875,379,762,416,519,612,404,
011,511,748,290,469,023,569,729,051,494,377,294,828,420,342,493,203,014,786,
557,436,008,406,333,998,223,957,964,398,488,108,636,903,206,360,281,623,297,
018,565,009,404,141,749,168,177,331,633,776,504,629,300,273,919,033,370,845,
759,861,138,066,343,082,335,866,017,880,071,122,925,510,705,200,188,432,486,
808,749,335,156,881,071,329,588,312,609,696,195,175,243,745,296,701,571,424,
631,440,188,096,896,481,801,448,541,512,474,963,341,417,396,522,897,621,812,
506,973,279,155,955,736,941,190,716,381,889,572,926,514,504,092,058,226,091,
369,530,197,227,805,506,214,485,220,248,615,374,123,178,993,385,206,388,524,
981,342,021,834,334,398,902,750,264,141,293,067,144,569,182,073,555,162,425,
539,734,119,976,925,250,639,323,713,661,002,535,684,310,167,086,274,123,198,
838,090,628,077,317,643,316,647,704,901,675,297,994,649,779,313,024,582,262,
372,722,988,325,151,329,564,500,591,223,191,168,901,823,870,118,125,323,764,
137,909,357,040,197,953,379,853,206,306,181,987,135,634,611,348,166,427,032,
885,177,938,360,879,146,834,564,300,313,138,048,315,548,091,190,252,473,921,
876,392,623,081,648,407,968,725,500,207,094,170,147,798,112,427,167,728,381,
172,118,740,578,405,795,982,461,756,527,584,775,157,571,961,722,144,215,681,
605,583,432,292,831,995,175,088,591,811,031,784,960,215,219,833,336,313,793,
981,662,777,613,318,677,789,571,737,066,392,556,381,716,573,335,214,944,676,
909,738,836,851,988,747,504,380,606,019,658,838,355,210,705,826,543,894,724,
757,289,843,565,110,088,943,070,446,437,944,824,524,585,111,014,876,017,988,
641,820,000,091,046,165,266,153,832,101,071,592,316,430,624,132,190,100,219,
105,032,330,116,122,133,582,537,870,717,980,921,569,226,403,444,709,414,340,
232,400,654,955,426,170,859,452,146,757,561,661,346,976,556,824,870,380,207,
903,917,385,761,501,839,389,968,278,687,784,981,416,116,140,972,253,906,155,
244,697,528,163,064,043,521,697,489,837,296,658,515,810,221,445,318,859,046,
247,129,892,543,997,037,746,033,409,276,349,454,089,960,588,927,975,152,681,
533,691,528,654,271,774,212,053,190,972,260,191,719,954,496,675,070,175,109,
803,806,885,572,086,318,623,434,331,523,541,939,726,584,916,759,679,246,173,
974,506,766,178,756,420,801,675,869,658,260,562,460,614,212,775,170,117,404,
828,530,479,912,036,720,992,961,863,179,164,380,587,599,451,620,442,192,429,
159,871,901,886,075,615,763,098,668,526,724,833,225,477,516,411,830,853,973,
153,323,760,447,367,838,858,830,542,925,621,703,122,560,847,841,514,618,996,
087,941,145,379,084,637,162,760,506,897,118,783,244,940,819,503,498,411,045,
890,544,131,618,756,295,335,623,048,509,167,519,482,599,585,810,870,542,678,
248,265,738,382,862,912,414,578,187,814,323,637,802,349,779,726,045,766,738,
310,045,000,379,433,540,833,065,515,442,658,000,350,394,658,533,275,937,693,
422,506,582,643,630,564,568,592,504,883,215,709,638,885,226,700,346,684,485,
073,462,049,645,126,418,921,766,699,402,925,139,522,267,207,001,739,843,513,
060,539,372,928,260,751,056,923,498,172,239,254,955,125,594,691,100,803,859,
308,865,669,689,727,256,387,944,516,507,170,417,741,448,668,346,723,457,650,
345,772,658,655,980,799,235,394,338,223,788,548,381,415,719,905,325,678,268,
187,466,970,168,319,961,525,264,610,366,270,776,478,155,302,381,281,681,797,
491,895,608,578,792,703,395,729,726,525,936,977,008,044,501,860,752,790,242,
881,852,412,071,568,946,398,135,601,432,796,151,703,229,568,489,624,162,602,
198,858,148,577,085,026,724,173,518,901,014,486,606,195,233,654,551,851,348,
746,537,132,263,471,448,615,183,125,869,174,901,340,375,594,879,947,655,126,
767,454,084,114,681,867,426,362,840,450,206,437,047,474,323,674,277,756,034,
725,999,636,594,657,036,010,760,641,074,320,921,748,970,744,469,427,278,188,
726,721,803,132,925,842,564,602,438,955,135,065,355,753,378,208,564,954,544,
214,093,952,143,189,055,826,096,883,280,850,173,201,562,676,468,781,565,986,
187,075,696,865,243,965,498,903,963,526,655,614,849,462,573,512,488,552,756,
587,854,467,380,760,892,211,327,197,852,027,132,937,575,143,763,943,514,652,
697,241,886,996,406,710,424,996,075,860,777,366,828,089,141,955,255,187,641,
814,036,166,018,296,253,565,198,359,278,168,037,408,420,159,399,473,806,437,
332,806,001,890,232,783,385,948,466,398,713,688,612,475,565,640,655,046,727,
531,928,059,327,104,245,045,788,328,754,198,540,202,789,068,359,222,455,588,
363,376,713,797,081,148,230,554,585,621,166,302,921,062,184,291,569,010,868,
153,769,838,586,833,516,028,926,247,729,674,092,184,005,708,296,916,059,492,
002,360,043,905,773,904,992,888,617,614,635,161,171,851,775,824,775,105,752,
372,870,201,151,283,800,789,056,474,878,219,975,386,731,760,981,976,166,683,
168,068,684,188,037,752,129,400,084,193,722,972,939,796,271,593,789,518,950,
692,185,117,632,768,811,004,885,270,567,679,390,912,654,842,722,370,380,888,
981,622,723,715,453,796,781,309,128,256,183,898,216,119,840,955,407,255,914,
951,699,464,645,288,257,854,602,328,172,651,565,156,261,525,885,140,063,751,
067,340,906,646,375,389,228,032,901,651,685,219,205,207,607,316,061,068,606,
902,962,153,009,167,282,477,028,573,407,276,099,118,460,813,208,187,360,161,
019,813,709,665,823,893,159,344,970,200,164,271,785,585,145,080,316,350,838,
313,920,543,340,256,970,462,721,660,705,213,957,200,336,047,921,155,368,743,
025,554,915,284,467,077,694,362,569,205,215,121,155,173,133,502,026,443,383,
254,797,687,429,574,865,908,738,868,989,437,445,263,816,663,566,290,980,289,
158,564,589,928,445,204,359,459,911,310,543,753,325,725,467,091,971,096,685,
338,065,337,623,021,161,507,227,929,963,469,299,706,342,265,798,551,398,592,
357,093,347,344,596,705,810,420,430,742,883,556,437,764,129,343,264,718,353,
127,075,207,378,642,101,920,386,862,332,778,910,328,273,750,848,443,685,032,
168,238,937,928,137,783,082,318,370,112,178,821,675,169,634,070,918,292,659,
544,074,287,742,513,781,875,937,812,627,725,124,358,761,453,682,462,808,693,
170,457,915,745,318,482,420,275,579,980,137,601,698,628,784,167,934,117,248,
897,313,616,794,437,928,958,541,504,051,072,179,122,326,381,200,227,844,182,
095,989,094,172,486,513,505,038,992,604,576,908,388,971,909,277,182,876,543,
679,917,796,302,602,666,476,437,888,070,389,539,583,994,878,971,613,393,577,
700,977,268,958,127,874,644,340,896,821,354,767,674,380,674,780,169,865,389,
893,270,125,201,487,607,423,682,765,628,026,635,605,053,654,769,622,146,258,
990,294,444,428,730,949,412,919,318,782,790,274,924,621,122,769,933,736,659,
813,086,817,377,913,499,844,971,128,543,430,190,682,113,724,372,555,758,174,
113,929,248,774,477,115,087,443,659,695,285,754,947,754,141,441,414,221,453,
184,618,531,281,929,643,440,675,063,910,391,168,827,986,431,483,257,912,260,
558,740,886,659,431,109,866,052,594,475,732,882,069,274,155,134,526,209,349,
632,829,891,265,771,005,940,331,508,615,149,139,735,518,022,718,150,142,800,
333,230,785,980,898,730,992,093,374,494,002,300,588,309,376,900,769,539,309,
920,973,108,683,042,747,061,140,770,976,390,247,259,743,765,725,204,574,144,
201,144,343,026,883,037,330,603,881,355,300,616,824,698,952,383,256,547,879,
222,330,842,708,285,153,470,982,396,773,759,298,481,439,249,378,960,830,582,
649,893,138,361,423,810,582,462,032,720,813,886,621,661,477,714,288,416,157,
272,677,252,747,090,221,254,181,630,547,376,006,787,797,384,623,749,469,641,
541,942,780,401,142,301,996,949,893,868,246,399,192,426,333,091,452,352,856,
624,205,008,607,573,496,757,486,449,582,980,820,895,004,872,363,403,175,413,
067,878,589,862,052,142,748,845,567,120,098,824,994,153,197,653,795,348,473,
701,711,398,755,234,833,560,883,619,840,120,560,861,400,711,060,941,299,955,
721,304,766,504,149,640,161,784,492,102,552,954,379,172,825,647,155,031,892,
844,109,032,780,024,957,743,821,998,094,848,989,206,302,437,419,900,505,543,
835,894,899,642,714,125,633,570,395,744,211,567,056,925,726,132,453,728,953,
842,028,102,350,451,728,042,130,840,735,596,164,758,630,518,607,152,157,464,
175,670,920,157,419,213,592,158,582,893,230,054,034,065,288,164,113,850,367,
078,332,406,736,607,641,958,045,910,838,789,920,662,909,209,415,819,528,853,
267,313,365,980,750,263,097,517,928,119,287,877,979,663,035,435,672,208,566,
913,517,945,577,208,933,382,501,837,994,748,384,185,976,620,380,998,469,114,
338,631,427,147,547,175,945,828,614,822,426,911,418,876,700,497,055,519,485,
525,590,189,103,603,661,135,613,313,123,249,697,917,773,991,140,953,897,484,
534,796,786,107,051,942,057,486,964,122,434,638,237,581,425,619,651,306,559,
407,743,625,814,211,129,020,342,685,185,587,837,504,242,287,440,654,306,138,
894,923,719,755,593,378,160,167,156,375,481,197,744,626,354,740,927,970,404,
521,869,194,082,200,862,811,483,550,036,619,542,649,035,949,699,930,623,811,
029,159,408,714,306,939,734,820,300,861,029,725,736,322,844,869,226,786,953,
986,431,917,577,307,758,412,103,454,715,358,870,939,988,516,582,345,297,868,
027,257,182,822,143,217,022,968,611,038,619,296,757,602,510,151,907,055,939,
128,360,211,018,825,256,880,154,599,030,462,860,274,460,504,441,602,732,489,
153,339,568,690,240,757,791,670,573,436,193,907,343,270,181,507,780,792,470,
395,442,943,539,432,123,475,454,913,052,660,536,081,046,223,557,544,258,875,
885,292,118,599,263,960,766,450,022,027,707,551,462,194,596,636,111,563,896,
836,120,837,468,705,021,677,400,694,162,493,876,670,208,266,112,556,232,329,
538,193,496,644,973,582,439,418,943,947,201,256,141,871,609,443,799,952,788,
869,973,185,218,360,268,920,065,420,521,994,565,863,841,373,247,470,034,506,
739,584,439,260,320,794,325,778,694,222,345,449,097,555,882,568,227,040,116,
866,782,275,123,518,301,625,520,022,780,727,797,695,873,463,292,839,755,087,
094,094,187,985,216,560,123,942,919,260,317,825,157,108,249,440,939,152,555,
682,669,001,896,644,299,460,432,144,816,037,769,183,204,062,321,543,441,310,
248,329,243,944,668,630,548,255,210,046,947,515,119,325,332,507,948,234,602,
623,351,549,986,975,590,367,789,435,375,255,820,786,801,217,550,924,222,448,
625,065,199,473,799,544,747,200,043,314,318,576,735,575,622,827,322,468,673,
871,599,558,291,628,713,386,079,252,028,665,010,879,646,797,798,578,258,905,
739,650,003,094,346,428,200,338,782,625,454,388,358,858,114,493,874,570,929,
449,974,358,904,179,192,966,576,008,555,622,213,635,355,653,574,306,975,506,
209,288,009,579,612,315,373,778,110,843,653,686,018,319,183,592,763,744,596,
640,564,515,506,694,956,494,313,546,896,401,330,389,417,665,371,939,470,604,
345,394,904,023,891,180,307,262,385,017,332,406,318,952,470,516,272,102,421,
229,591,060,767,154,325,825,470,353,427,515,885,883,457,950,485,052,764,234,
546,262,590,959,295,263,127,205,307,798,147,981,721,287,866,998,053,401,222,
071,252,970,138,115,813,077,814,716,592,294,304,567,271,806,994,826,985,018,
714,548,831,667,818,566,471,132,399,835,505,551,686,430,203,174,143,589,516,
605,047,455,911,925,169,617,094,483,762,092,001,163,293,385,029,224,708,700,
026,231,673,926,092,904,842,545,106,423,073,306,240,026,126,663,573,651,444,
136,376,932,233,970,712,188,421,185,534,291,632,415,185,906,627,349,820,133,
763,244,025,655,654,805,877,273,716,966,572,958,545,508,637,303,492,402,505,
373,757,793,787,408,514,791,112,980,200,446,668,071,580,181,612,413,308,040,
401,931,652,258,560,540,494,218,835,201,697,974,790,757,938,652,491,700,678,
071,033,304,038,122,786,530,533,443,131,843,744,964,605,097,532,789,513,390,
713,141,650,327,532,104,322,885,705,111,594,023,497,310,973,506,456,379,185,
851,036,497,482,876,049,322,725,506,953,018,632,663,583,124,821,206,055,703,
827,200,681,467,007,135,014,409,004,509,441,005,490,266,598,711,715,744,981,
058,735,641,681,472,517,401,852,047,781,089,362,613,912,235,085,415,065,592,
543,109,853,226,179,811,362,763,960,248,262,179,046,770,880,110,921,972,775,
690,638,771,458,146,565,918,838,551,436,052,134,391,272,525,430,368,141,684,
708,001,694,167,462,438,433,267,130,169,371,194,557,663,874,035,486,649,258,
852,197,732,721,694,000,709,360,110,928,665,673,395,580,893,883,055,300,714,
338,393,876,297,782,912,028,167,095,536,594,477,827,087,938,196,752,704,666,
589,681,452,655,156,670,159,375,798,321,339,802,290,670,844,727,550,385,126,
324,918,839,079,436,142,927,290,216,755,615,072,107,366,301,905,447,163,166,
883,665,885,889,089,709,519,752,958,355,419,455,555,867,814,499,832,887,608,
619,367,969,805,687,322,631,978,305,358,259,670,195,217,710,557,265,856,604,
853,863,903,992,937,058,011,018,269,037,270,682,897,478,810,667,524,948,327,
466,199,430,545,525,064,268,448,914,825,093,029,423,267,598,823,972,149,838,
139,481,686,441,254,400,869,629,908,821,912,377,074,663,657,320,891,344,822,
169,745,271,684,063,261,913,056,481,783,135,510,889,205,122,089,641,799,828,
812,990,679,577,870,942,608,432,149,124,441,179,754,065,231,570,920,827,270,
755,902,183,989,219,333,018,852,889,018,313,078,097,834,506,178,282,465,114,
069,576,729,229,897,550,608,676,917,175,584,033,508,131,229,901,632,991,248,
260,779,590,233,599,312,821,590,334,360,423,739,873,468,542,108,865,125,560,
815,089,861,048,896,059,096,007,582,356,779,697,514,289,734,866,579,099,790,
942,596,770,607,851,637,755,671,994,585,606,972,684,530,574,021,552,588,691,
441,943,028,856,618,887,049,218,462,701,669,926,575,759,597,247,222,492,492,
155,772,227,318,264,272,294,574,431,816,998,078,518,197,655,917,437,259,845,
854,870,707,187,722,051,557,999,801,597,173,029,691,370,453,906,356,187,307,
349,709,780,861,532,603,570,011,276,137,096,589,801,160,363,639,702,703,890,
304,878,770,191,410,446,428,072,433,995,773,379,334,016,968,370,688,326,045,
537,120,345,574,159,618,380,086,490,342,900,442,595,216,468,966,618,279,750,
541,750,969,452,484,597,683,738,115,182,992,885,421,515,988,903,070,955,945,
795,089,998,108,713,308,200,245,436,569,825,145,744,454,221,564,511,535,145,
652,002,005,749,053,973,786,232,388,027,817,218,031,289,783,577,146,140,683,
675,585,912,328,644,102,829,219,545,812,517,844,080,466,824,487,682,894,399,
860,704,907,460,300,503,040,737,667,050,480,892,000,957,143,701,979,230,349,
966,933,857,993,171,150,642,798,925,463,837,474,137,408,138,046,921,445,991,
743,746,261,434,649,656,897,771,028,114,855,084,242,001,312,774,576,049,535,
263,657,915,168,364,721,379,898,968,214,059,276,779,805,048,798,879,029,115,
634,886,074,304,618,569,487,193,385,239,275,467,807,031,424,521,792,370,287,
734,682,473,972,339,569,219,760,162,904,928,222,200,927,602,277,658,037,349,
729,993,085,699,900,744,972,922,983,769,593,394,356,709,035,312,630,211,011,
032,844,074,652,433,791,088,473,462,314,870,520,422,116,650,581,470,255,669,
215,846,971,087,121,760,014,352,154,057,938,094,183,019,544,064,240,444,403,
615,763,884,829,241,252,580,026,460,333,847,544,706,662,626,815,611,064,466,
803,192,892,941,246,294,219,044,362,074,432,434,968,471,178,411,447,049,866,
889,220,466,813,592,172,639,179,430,014,354,362,478,603,323,067,101,982,720,
889,875,682,139,775,324,724,247,257,859,355,219,892,489,625,257,424,908,700,
868,580,464,533,815,743,615,458,506,436,749,837,565,071,012,390,294,132,584,
085,343,288,988,156,287,837,137,636,306,412,312,959,111,956,212,718,565,853,
543,486,097,292,807,144,081,801,197,578,276,893,560,669,013,699,735,234,353,
217,130,299,599,695,846,720,308,395,507,643,494,441,588,360,309,461,056,856,
423,269,796,513,375,024,099,125,363,693,411,503,974,010,694,296,804,245,410,
797,199,862,935,592,003,486,718,229,376,013,395,460,376,784,200,639,056,574,
933,444,069,309,853,706,909,795,719,830,275,839,091,910,495,642,769,461,291,
180,732,619,214,855,510,637,016,442,618,664,977,251,831,233,591,786,842,526,
640,368,519,649,470,185,304,603,342,640,756,162,939,790,393,649,018,321,639,
474,812,587,084,098,939,468,531,826,272,077,928,563,717,159,275,164,927,982,
073,627,047,424,086,301,400,884,987,027,920,217,983,528,378,995,978,308,926,
729,764,946,236,988,376,497,731,875,575,002,165,134,629,614,943,718,282,349,
238,882,375,018,184,396,480,264,562,545,599,609,853,122,061,131,867,755,569,
616,184,113,952,435,954,962,138,492,501,515,106,996,727,111,350,794,210,032,
120,593,540,928,062,951,780,400,000,405,862,739,721,043,813,798,398,471,590,
006,981,426,018,144,814,807,919,251,047,287,184,284,889,437,054,632,423,206,
414,001,584,277,880,981,158,316,910,769,730,605,678,108,563,042,200,383,806,
123,513,006,565,919,780,150,515,540,847,534,656,705,619,489,392,434,410,310,
593,362,564,743,936,577,445,198,237,816,488,905,207,545,700,020,720,662,717,
217,341,330,110,647,965,299,719,856,845,776,634,846,743,233,438,100,612,891,
682,356,603,246,094,068,581,601,907,045,443,534,408,685,100,965,481,254,758,
334,258,508,699,593,341,169,929,504,916,613,359,855,606,496,049,260,009,536,
080,486,901,926,794,290,917,064,413,849,559,940,568,157,700,210,351,159,804,
925,395,972,367,068,602,787,320,949,326,070,501,512,768,270,644,977,733,240,
964,838,990,265,065,228,923,976,804,731,919,424,000,956,765,238,566,602,039,
178,849,150,060,626,619,790,009,152,133,883,798,171,367,378,965,818,564,941,
315,884,859,768,709,194,375,940,225,055,456,234,383,133,592,946,368,561,024,
560,265,386,983,277,195,568,897,518,674,041,566,266,606,562,382,758,053,462,
569,478,919,449,567,250,071,702,327,912,752,733,522,017,080,578,490,245,758,
600,088,354,457,102,104,409,885,028,931,488,014,717,629,452,177,351,475,096,
714,296,382,554,317,716,562,090,415,404,018,771,465,250,141,273,576,853,985,
295,646,533,425,438,826,419,975,603,948,621,451,441,866,103,959,388,043,672,
635,164,260,290,515,383,358,408,593,427,168,552,367,802,223,249,671,815,822,
329,540,683,233,756,748,699,793,844,571,959,019,627,441,908,229,942,394,471,
085,198,006,560,716,865,006,391,536,074,356,768,805,079,567,010,407,340,693,
571,446,720,461,986,532,699,776,424,506,982,821,439,056,277,088,214,544,497,
950,279,492,818,353,832,539,338,876,061,401,289,554,840,806,436,862,660,683,
660,719,217,567,755,642,564,353,010,204,360,966,992,309,340,119,647,759,835,
444,770,015,635,484,015,676,948,314,250,594,655,027,449,089,965,716,286,782,
502,747,529,125,901,948,761,599,526,367,852,564,785,156,121,962,986,227,360,
901,308,378,895,869,176,532,536,718,960,529,195,723,634,719,992,847,219,548,
941,237,186,060,299,142,021,662,013,063,839,538,179,526,783,970,737,657,001,
921,056,432,535,650,427,424,994,355,191,446,743,920,925,221,127,184,007,544,
368,527,925,055,050,835,648,280,723,921,691,826,420,290,916,172,938,532,837,
568,963,077,388,712,408,187,409,509,204,546,730,401,443,509,289,513,310,274,
006,520,193,530,644,918,866,043,436,333,007,602,225,918,113,790,814,648,841,
981,684,669,335,689,282,391,885,163,432,557,039,326,468,140,507,776,228,299,
163,889,331,473,806,406,912,187,800,381,753,479,105,860,743,703,723,711,183,
164,124,949,789,270,341,517,921,876,367,040,883,820,830,119,831,289,440,543,
864,276,258,377,974,748,629,296,869,977,797,288,083,320,095,298,255,172,497,
796,562,533,957,093,232,699,327,177,034,081,159,098,203,122,045,549,026,020,
710,968,024,788,611,413,316,590,363,299,530,697,067,501,250,663,430,915,575,
780,788,654,114,423,939,168,473,206,232,975,223,651,466,126,619,447,039,508,
752,364,414,589,433,284,281,695,940,695,891,706,164,348,896,737,155,863,517,
902,906,850,963,015,860,993,013,693,181,192,901,968,791,225,160,576,037,515,
030,078,638,033,761,438,987,339,461,601,425,046,836,708,947,060,238,241,291,
961,914,487,234,645,993,010,649,439,635,769,359,014,877,364,761,147,202,210,
675,936,703,268,153,817,204,118,339,889,913,349,335,422,594,027,279,249,985,
198,720,137,631,177,434,715,253,558,949,029,796,726,711,705,008,108,957,470,
538,528,290,582,623,372,461,693,678,341,351,609,672,519,263,383,383,623,713,
415,583,901,920,552,391,869,949,306,447,706,827,875,011,010,961,505,759,215,
613,605,884,022,352,583,572,670,042,719,817,226,366,879,158,848,315,135,979,
202,942,364,129,301,424,312,823,067,408,574,692,227,098,428,916,967,548,097,
974,014,133,326,637,356,305,897,841,491,794,335,839,834,971,508,438,390,922,
939,879,929,496,728,447,106,451,719,810,189,746,443,627,122,806,342,695,980,
033,929,478,907,302,683,126,644,485,605,760,300,474,275,269,849,300,984,974,
770,050,166,539,235,345,845,268,063,405,456,960,323,428,592,411,245,170,413,
261,250,934,970,727,595,250,024,092,556,617,818,995,217,492,806,685,317,161,
643,432,492,805,190,988,529,572,813,657,204,420,253,997,486,626,338,054,240,
384,764,579,455,228,246,282,716,599,531,718,970,080,646,798,745,157,068,066,
649,348,950,113,256,580,384,362,899,828,288,413,845,370,104,677,957,284,721,
655,567,560,303,508,537,849,780,592,986,809,898,957,404,842,123,220,570,541,
620,878,282,574,245,220,891,362,606,989,376,112,324,036,992,722,533,244,739,
346,080,297,566,483,479,688,170,204,856,458,418,499,974,731,750,492,804,251,
886,750,657,565,391,356,343,657,252,381,564,659,064,499,761,945,534,869,791,
204,482,177,153,956,098,798,780,863,412,699,816,285,911,855,615,973,095,770,
795,331,072,416,777,197,379,860,410,625,410,959,327,048,773,135,010,108,608,
606,592,356,685,428,906,272,614,253,011,686,659,676,965,081,368,140,886,565,
163,649,212,012,718,455,005,051,849,490,638,374,298,052,966,795,201,979,725,
785,165,711,192,209,519,024,275,247,234,074,622,782,690,498,890,199,748,199,
419,683,442,014,483,759,866,961,666,161,570,128,014,770,168,870,175,754,401,
087,020,649,369,231,764,354,672,915,595,967,786,011,762,764,902,584,985,091,
807,390,084,041,997,102,879,439,271,062,059,199,016,578,623,260,136,182,885,
811,959,565,022,642,447,960,662,804,475,712,631,985,231,935,605,976,682,607,
818,421,150,892,303,133,040,193,285,556,111,718,620,598,064,195,705,760,953,
598,328,056,844,718,671,313,221,719,971,632,541,423,031,052,363,681,176,460,
996,900,865,403,222,258,529,072,549,908,812,383,218,173,767,628,640,244,480,
499,579,326,521,869,802,433,107,239,060,299,975,938,176,112,375,934,194,882,
228,988,335,061,210,093,719,498,923,908,211,243,373,580,841,032,742,219,130,
305,239,653,168,589,989,367,285,407,366,448,124,742,376,561,575,765,692,497,
184,355,680,970,114,759,078,159,204,416,010,634,107,877,571,754,942,304,165,
215,486,024,492,197,800,016,310,395,737,925,749,953,065,491,056,196,042,433,
670,954,041,101,949,094,778,769,184,086,219,867,398,584,652,464,417,437,827,
885,419,672,022,262,694,592,447,563,831,388,706,271,352,248,482,182,012,389,
036,357,609,810,809,382,973,244,459,301,401,210,433,395,427,188,175,814,745,
399,226,536,428,817,916,763,661,448,831,284,119,531,149,263,654,808,970,403,
812,557,404,900,391,875,950,590,673,253,620,485,121,909,663,662,168,390,570,
654,748,662,312,185,455,273,384,711,823,945,190,023,404,605,189,315,369,169,
165,955,225,907,389,633,181,664,509,740,473,403,798,996,382,996,158,155,139,
132,797,724,362,011,930,369,195,873,707,641,716,096,769,416,934,369,856,445,
852,053,082,195,525,118,634,265,004,294,888,292,687,504,960,490,320,051,224,
975,511,020,168,648,081,699,956,873,558,638,804,419,415,551,470,675,404,163,
854,381,430,630,417,823,041,143,122,922,228,905,023,203,781,528,194,123,996,
011,098,858,072,559,914,147,080,286,359,427,148,608,654,850,068,000,768,152,
082,519,632,351,260,671,481,616,282,574,104,908,745,803,547,435,913,806,269,
349,585,790,636,440,960,012,475,060,287,122,854,528,031,734,871,961,745,940,
037,679,107,773,424,018,738,072,233,297,011,018,178,473,267,891,199,979,668,
070,806,964,530,218,241,228,847,088,923,779,479,586,099,398,090,393,182,701,
316,806,857,541,172,836,694,310,676,833,637,796,044,340,756,929,572,788,920,
086,496,741,673,670,126,013,522,135,718,835,500,000,293,739,230,320,917,345,
037,615,883,504,833,052,296,102,392,341,526,495,723,413,874,464,635,187,354,
482,638,767,977,449,132,352,602,593,514,676,630,328,422,344,354,757,441,248,
518,979,139,061,531,478,330,074,977,684,216,952,744,535,970,410,372,963,149,
962,437,333,718,488,640,223,037,825,559,908,127,371,794,475,841,004,603,843,
328,426,481,769,639,667,685,742,220,863,248,220,026,798,493,342,618,970,123,
183,302,666,163,992,050,845,631,582,765,317,488,015,899,496,805,751,045,648,
851,535,275,892,880,396,256,319,709,589,494,596,406,593,135,738,860,040,330,
427,301,338,220,932,507,979,458,389,245,244,075,142,860,115,549,581,881,372,
892,902,586,605,911,840,281,512,920,764,660,700,643,543,682,808,913,805,056,
507,347,200,818,996,154,803,353,638,042,598,749,370,820,387,114,405,451,307,
007,822,731,534,854,028,249,840,037,921,795,333,689,664,544,564,801,445,074,
420,969,347,648,161,322,771,519,265,960,425,849,288,871,019,771,796,822,742,
219,985,024,033,685,276,791,654,590,798,666,989,932,209,605,299,149,140,048,
432,113,462,334,571,876,277,321,723,343,290,430,775,758,042,949,255,223,601,
335,497,917,638,873,485,207,024,177,684,387,376,049,782,976,908,857,235,924,
285,737,464,710,151,170,890,866,475,654,864,438,768,196,589,153,809,593,946,
999,256,647,897,739,700,906,276,596,278,488,051,544,624,540,475,704,573,151,
117,784,063,950,185,735,366,064,529,192,784,421,858,889,756,313,178,490,044,
340,092,644,170,949,209,570,787,136,520,158,615,265,749,674,869,445,218,212,
432,886,223,844,591,180,382,597,784,372,471,968,876,801,928,375,844,714,020,
562,416,012,450,192,057,043,614,243,698,993,955,433,939,432,160,313,555,584,
115,303,886,086,484,353,306,369,857,665,899,089,200,394,054,833,416,194,174,
220,717,545,543,298,398,363,301,370,285,127,681,713,897,923,303,691,052,883,
355,331,776,851,047,135,757,622,154,810,774,841,418,832,401,649,235,574,430,
872,487,859,829,468,860,973,462,619,573,325,038,229,785,260,272,801,337,734,
731,825,768,423,839,060,118,681,970,972,373,905,116,479,305,081,181,072,403,
140,041,436,798,177,159,934,907,308,830,245,740,167,460,865,189,341,840,269,
421,514,321,712,621,891,487,107,090,643,929,931,121,791,739,430,109,943,270,
712,837,595,760,653,205,142,709,860,442,263,963,765,750,560,824,972,656,663,
038,632,110,837,918,776,784,475,698,308,486,021,370,932,415,271,585,823,519,
128,139,166,321,816,587,265,929,382,227,661,967,301,953,108,435,747,078,562,
037,664,713,705,514,060,173,335,592,903,906,289,820,948,819,620,417,752,631,
290,469,648,573,135,866,434,195,443,149,022,454,169,742,446,924,573,018,659,
409,348,583,866,033,734,751,551,878,778,410,320,998,486,040,325,634,250,196,
046,806,517,528,694,990,070,369,012,727,200,211,829,091,501,092,257,697,733,
381,127,685,464,239,566,170,990,070,843,427,859,454,726,309,785,095,842,684,
832,060,654,637,778,083,242,378,732,850,482,459,067,743,726,975,762,909,338,
112,554,342,130,838,419,881,900,623,375,105,783,291,402,924,248,454,434,925,
903,589,788,544,839,679,479,936,324,824,410,784,402,018,249,895,958,783,864,
926,025,473,177,741,881,649,912,940,417,460,683,714,130,035,673,103,751,741,
731,264,136,027,026,413,222,015,977,853,776,875,805,123,695,445,521,399,977,
081,358,094,469,347,926,538,228,887,868,006,427,989,130,107,146,832,051,074,
417,338,813,058,726,737,807,187,061,775,475,784,736,147,788,553,808,544,029,
219,294,024,376,878,457,709,962,946,588,603,511,995,073,008,115,620,599,262,
996,005,466,292,336,954,995,952,854,622,260,635,463,894,292,478,192,622,847,
158,311,098,594,391,141,786,891,731,344,164,378,417,046,080,422,549,329,956,
395,156,763,428,815,014,331,167,011,425,133,402,148,878,382,719,587,910,357,
628,979,856,048,625,122,661,167,019,203,917,528,559,367,062,114,764,414,546,
406,162,594,799,555,707,307,219,603,479,647,373,184,299,581,299,446,247,483,
170,368,812,961,018,987,312,076,411,410,746,861,936,865,739,926,692,660,112,
888,540,283,376,443,442,264,735,558,542,942,434,151,559,422,765,486,124,483,
891,792,429,671,612,750,795,261,409,028,896,617,307,709,079,294,107,592,825,
113,898,125,925,376,278,939,638,758,173,400,335,918,109,016,439,038,501,866,
571,205,870,008,027,434,842,341,222,282,263,138,132,000,951,938,360,201,899,
990,271,550,798,893,209,111,979,464,990,958,490,932,777,336,552,625,295,887,
336,545,712,803,376,259,854,677,255,748,262,311,680,304,757,875,260,773,288,
997,214,465,111,470,655,509,793,827,019,555,846,021,472,850,101,634,402,163,
011,432,362,190,848,512,498,802,575,892,097,889,363,438,639,249,461,744,172,
434,325,013,175,544,803,825,256,988,067,177,857,681,030,974,050,839,942,124,
593,487,880,213,598,041,429,175,264,829,461,732,915,971,790,227,371,879,427,
169,554,019,253,593,065,154,162,730,259,189,367,592,811,189,080,197,551,399,
321,706,714,328,240,165,073,031,160,324,365,639,933,794,308,198,648,862,414,
019,867,008,641,509,142,426,593,523,452,614,950,152,465,894,861,223,795,155,
541,592,473,710,502,988,224,829,438,083,560,302,199,880,752,388,290,599,907,
540,589,690,087,361,093,157,649,407,064,423,874,996,527,267,395,618,087,349,
352,888,460,141,703,578,667,241,152,284,036,618,788,485,832,819,269,008,506,
247,236,213,633,885,351,127,213,616,426,808,572,171,400,754,695,816,528,553,
165,850,498,183,981,911,184,135,692,380,458,729,829,060,498,386,251,101,368,
416,988,858,293,242,275,215,613,731,615,512,054,477,098,502,398,752,140,173,
020,130,311,731,896,979,647,581,928,033,602,131,135,582,997,483,058,312,274,
412,053,864,995,521,226,630,444,658,105,185,634,675,448,820,187,433,232,773,
360,835,936,608,823,253,680,282,900,714,512,060,023,638,186,977,087,450,468,
331,639,906,210,453,111,711,743,861,321,045,765,359,554,943,021,440,530,385,
826,621,057,322,523,602,332,078,013,751,238,297,211,611,264,152,200,170,005,
630,931,473,561,722,717,434,260,149,038,599,354,319,095,478,927,468,309,824,
320,991,671,481,117,807,596,265,959,939,044,802,671,489,395,836,324,277,380,
314,361,430,365,064,669,828,068,675,479,685,447,113,129,586,000,578,028,528,
204,710,340,337,023,828,453,264,603,492,941,606,314,977,757,936,289,076,114,
919,982,946,061,932,279,439,157,329,987,758,694,677,990,628,127,159,260,103,
774,506,088,149,109,731,716,012,631,424,597,513,949,214,551,459,115,604,383,
307,672,281,975,860,857,605,372,252,752,729,048,364,007,130,415,091,143,016,
020,782,989,588,490,390,548,573,586,279,874,538,407,559,801,517,750,410,794,
073,460,667,813,803,086,442,935,208,998,005,185,609,140,274,984,831,915,957,
258,503,780,196,786,656,040,295,733,226,852,342,037,413,087,604,548,421,376,
699,033,148,030,353,724,059,211,541,283,868,875,755,393,982,755,068,183,157,
029,690,734,844,181,442,243,379,329,898,251,893,475,376,970,499,279,793,199,
625,795,318,533,486,942,008,859,397,534,657,013,566,061,653,469,064,848,090,
336,432,134,851,739,854,238,162,703,491,576,611,985,199,678,542,649,750,837,
433,503,919,830,761,690,308,454,562,557,877,448,173,015,385,127,479,884,811,
292,287,561,058,396,259,802,632,039,545,995,530,305,080,776,596,123,442,311,
047,423,401,633,136,965,794,873,792,548,115,118,250,927,157,591,213,913,892,
005,114,060,930,854,786,194,738,464,363,159,140,107,064,570,942,282,496,670,
268,481,012,847,290,604,594,175,421,685,646,933,908,685,030,691,605,075,398,
383,684,200,045,230,401,289,698,856,863,757,801,314,315,997,793,965,113,816,
911,023,213,896,778,715,728,801,949,903,857,611,985,952,122,157,663,033,294,
276,010,777,063,280,336,444,320,062,680,960,089,496,328,147,172,102,566,119,
751,582,526,569,558,695,252,032,788,109,879,904,210,148,826,390,220,633,848,
403,434,449,847,133,234,339,602,167,310,523,981,100,081,951,112,702,304,630,
305,470,419,818,281,923,021,086,290,490,327,855,305,753,695,347,559,140,369,
154,774,078,332,890,308,838,497,605,829,386,064,326,471,800,256,582,449,231,
242,176,459,937,760,346,594,464,964,272,517,986,944,731,165,137,828,112,423,
332,882,394,992,888,220,234,657,386,859,669,103,284,028,459,451,735,758,170,
971,871,305,916,776,945,114,677,267,551,853,263,686,540,100,173,500,244,968,
158,941,043,758,577,343,873,926,918,720,805,759,794,962,708,983,794,938,513,
363,924,066,207,120,054,192,329,969,999,193,735,732,773,139,969,139,944,280,
204,450,796,694,802,075,408,022,096,843,015,948,085,513,091,577,965,431,183,
934,962,459,658,597,513,077,331,411,059,423,153,438,981,292,460,394,370,424,
467,334,478,148,090,141,753,394,790,094,440,309,474,493,089,131,325,725,918,
153,093,898,882,532,276,373,648,254,206,439,418,674,314,820,640,475,990,115,
628,256,518,391,917,337,689,519,026,297,662,195,955,973,804,753,108,877,887,
742,818,627,973,513,478,981,360,641,065,455,472,062,198,448,640,902,200,436,
701,693,522,385,948,204,674,218,946,245,573,886,740,887,770,352,720,596,649,
349,676,558,324,828,838,052,680,511,142,848,282,779,390,381,269,659,349,492,
671,096,895,616,397,314,695,745,739,178,449,363,793,551,272,548,080,955,985,
381,854,255,253,228,672,742,418,796,291,269,952,329,778,259,230,275,534,836,
133,980,471,889,866,659,410,540,591,519,667,492,967,745,653,191,793,248,946,
620,096,393,974,973,708,607,128,410,300,253,949,962,647,870,789,157,391,267,
701,477,403,968,571,433,070,443,735,187,002,538,692,079,330,247,454,343,927,
409,382,256,842,724,922,268,896,560,079,140,875,853,711,870,731,726,814,318,
060,440,443,269,679,972,678,654,558,184,685,037,448,388,698,990,118,654,269,
132,948,927,172,118,141,439,759,454,345,831,592,088,428,134,728,896,417,136,
001,075,153,887,436,410,302,199,505,579,567,970,624,820,110,661,324,546,397,
012,249,699,897,158,028,629,470,368,402,500,449,445,770,949,794,289,775,220,
125,337,499,643,193,136,627,657,530,572,215,528,030,467,243,996,606,306,545,
643,630,608,296,089,004,229,838,977,089,463,748,975,021,672,675,611,840,915,
380,762,986,041,931,797,181,787,329,474,647,037,012,879,271,688,677,570,520,
608,222,045,841,745,690,659,969,085,462,079,219,198,145,955,106,845,687,223,
423,297,404,026,764,380,881,163,406,635,786,848,033,818,606,601,237,732,938,
772,502,892,998,875,743,194,403,588,182,457,726,565,578,763,914,038,707,973,
226,164,980,109,649,058,589,007,348,594,572,833,307,172,455,453,964,465,705,
348,440,457,559,756,382,746,319,818,553,095,647,032,854,356,042,597,922,939,
753,796,896,314,388,099,116,010,410,514,567,337,138,769,623,047,624,713,174,
495,953,407,862,677,918,193,668,030,509,621,590,618,698,427,957,033,227,373,
685,177,458,310,208,730,015,174,030,306,809,039,110,852,488,855,167,064,781,
528,896,377,454,324,562,412,182,711,564,223,584,055,628,840,448,921,484,945,
483,224,179,354,509,572,996,490,718,547,987,209,248,999,444,766,266,821,108,
787,230,047,399,841,316,635,227,878,571,925,341,013,195,355,523,115,971,758,
012,505,311,877,782,311,311,118,726,391,074,998,619,857,217,789,568,429,237,
334,903,183,605,193,422,893,898,478,660,834,956,245,595,445,742,763,006,067,
240,755,963,909,223,811,484,157,007,958,424,044,974,428,835,992,487,730,849,
051,202,182,122,691,524,053,679,000,584,829,109,956,900,778,306,820,675,029,
164,350,788,172,465,296,362,950,000,270,011,382,579,181,706,652,224,077,138,
306,597,252,226,345,190,422,816,651,151,995,182,323,251,562,536,363,084,770,
654,830,114,776,031,719,823,715,197,205,033,770,937,715,113,276,293,576,819,
668,761,616,829,511,020,754,817,739,999,992,221,111,430,060,862,395,794,411,
051,149,806,876,555,535,944,894,019,755,232,136,311,727,761,998,537,620,920,
789,310,260,471,349,829,251,591,830,527,154,622,991,478,612,019,258,516,163,
120,182,958,676,449,845,550,476,248,638,785,133,304,368,710,994,205,836,156,
293,427,203,136,163,636,640,057,794,396,637,365,849,031,564,413,703,993,008,
772,045,869,790,350,358,936,378,120,858,356,507,707,140,204,689,358,826,512,
486,276,783,101,366,494,929,240,415,648,700,265,351,358,517,667,558,362,816,
104,918,624,743,471,566,076,948,308,304,149,619,773,641,986,976,976,052,018,
860,366,159,544,374,278,368,882,929,311,146,762,675,358,102,112,257,235,628,
042,015,672,392,427,254,797,780,615,262,013,013,167,131,252,998,492,867,345,
214,727,438,967,343,634,149,266,371,006,498,965,817,081,945,197,594,965,542,
866,527,847,360,630,089,795,124,330,543,138,505,646,184,019,078,743,367,800,
573,992,736,305,182,510,081,752,169,231,757,233,699,508,172,304,601,617,814,
998,971,189,982,094,647,913,072,067,627,438,063,694,443,345,560,436,319,117,
410,011,697,697,834,957,098,064,191,491,437,194,454,942,230,728,528,292,339,
958,673,702,464,916,047,975,468,191,590,971,601,740,801,509,335,765,860,431,
577,002,507,116,136,553,145,877,906,970,522,310,439,218,416,333,577,788,729,
626,247,485,727,919,097,803,820,295,922,681,742,394,679,280,101,115,315,974,
373,188,018,526,334,670,782,558,530,250,695,428,153,833,286,265,585,632,906,
594,719,345,142,513,801,831,038,974,029,485,874,026,083,454,966,714,622,698,
208,682,911,208,004,608,060,522,511,800,430,862,214,152,099,966,746,650,618,
847,537,723,556,110,799,178,638,290,691,264,521,642,280,528,427,034,081,274,
586,259,976,201,293,408,846,615,560,650,182,069,989,144,276,558,861,572,962,
631,816,279,042,433,776,432,297,106,600,472,187,572,203,425,778,629,356,887,
263,637,405,857,199,949,074,257,790,188,891,216,611,834,295,706,838,049,445,
605,121,176,569,314,125,725,213,897,238,817,794,116,857,101,464,910,132,301,
221,393,125,504,476,373,323,633,794,017,175,078,682,498,455,992,866,086,334,
524,788,913,208,184,921,924,686,114,252,671,316,554,288,824,635,965,401,124,
507,993,308,917,929,527,811,987,854,468,215,632,206,959,843,119,024,043,868,
262,699,519,470,644,616,887,460,722,376,971,878,599,400,474,914,003,716,421,
592,669,953,896,694,175,707,466,034,735,279,266,927,125,574,118,428,010,802,
020,974,553,040,782,351,097,703,260,800,206,734,253,279,585,701,410,009,471,
063,367,145,591,009,987,356,397,860,062,328,494,600,206,667,209,517,743,786,
062,404,943,953,928,396,510,770,894,375,554,595,909,108,772,548,318,469,415,
758,158,961,530,688,854,298,905,106,096,551,510,748,939,818,646,304,295,284,
950,725,871,854,080,080,319,158,558,652,798,631,234,173,986,492,328,051,090,
678,934,071,726,895,629,842,474,492,311,031,128,258,974,855,618,909,933,729,
215,259,808,754,215,390,596,139,214,668,898,869,338,122,169,181,400,885,169,
595,211,217,685,295,129,168,116,786,303,040,989,579,102,324,875,507,385,922,
689,704,462,587,427,583,790,192,264,772,319,681,103,935,463,907,858,501,077,
744,023,714,664,017,731,234,930,015,868,123,668,560,097,227,967,350,421,725,
561,584,656,785,682,768,218,833,767,831,481,579,035,937,720,429,755,613,949,
829,440,233,574,687,703,988,689,266,034,753,962,147,799,599,648,087,052,091,
650,588,069,168,703,669,185,551,085,078,764,745,167,955,028,417,232,963,710,
155,991,994,663,830,218,962,271,800,949,460,293,160,387,594,225,340,489,311,
220,468,967,680,372,477,470,772,470,240,927,430,707,090,806,013,370,538,265,
340,520,151,714,406,932,686,354,645,160,374,385,736,625,502,876,165,155,988,
649,132,905,051,355,887,423,286,439,883,236,614,571,013,043,765,344,954,487,
801,431,528,521,443,580,110,050,718,003,059,564,562,433,959,488,219,267,701,
963,747,172,733,791,860,405,654,789,600,407,199,977,971,472,279,236,565,473,
080,126,314,017,772,686,984,683,517,206,202,802,017,289,239,863,282,017,492,
238,059,112,703,470,242,043,639,937,664,585,140,242,637,832,382,287,192,209,
480,393,827,268,803,475,691,895,707,990,218,006,439,852,443,006,347,934,583,
576,323,079,882,526,202,129,763,644,092,567,580,506,111,697,564,806,250,086,
030,245,694,620,679,288,933,653,577,210,076,011,502,504,803,353,730,158,717,
328,035,551,393,692,138,529,417,809,571,215,290,733,061,455,293,288,853,723,
698,190,820,526,272,598,482,250,047,024,575,713,702,908,523,990,639,675,041,
463,773,402,340,522,057,104,225,034,930,669,418,442,697,685,332,426,383,690,
962,197,757,515,404,749,629,518,790,004,243,488,240,516,463,177,483,199,752,
431,381,525,414,490,715,836,656,167,508,994,968,451,435,420,446,359,432,361,
110,293,352,959,514,402,687,308,384,485,019,671,557,002,744,661,052,186,972,
272,027,122,720,909,251,035,863,207,912,853,590,889,982,493,146,774,069,906,
809,108,245,156,883,204,321,938,027,705,422,261,745,176,436,039,995,421,577,
189,464,776,854,586,657,820,436,744,649,844,563,005,088,719,286,832,101,338,
781,372,412,199,722,290,974,161,344,601,842,604,781,738,471,112,508,680,769,
468,508,582,269,413,335,365,026,963,101,439,931,538,678,855,178,573,908,464,
910,978,439,132,519,418,072,088,343,245,823,681,781,383,644,659,663,297,602,
924,330,826,655,389,155,028,975,440,378,053,012,552,362,258,528,957,370,747,
733,798,178,136,730,741,737,325,149,541,308,120,513,266,589,170,436,994,417,
869,915,396,388,272,972,431,973,367,484,375,044,515,839,965,062,789,936,717,
041,433,488,822,150,887,414,140,549,310,356,587,656,991,656,553,060,129,524,
593,818,360,793,365,004,646,794,985,793,618,858,783,291,214,718,283,690,316,
395,543,378,948,074,975,240,602,251,990,606,482,286,447,603,642,965,420,332,
773,148,832,022,968,361,353,255,946,607,136,640,937,348,406,496,379,775,555,
598,320,652,044,424,439,681,463,803,199,869,365,164,600,071,168,388,546,083,
139,530,086,771,038,103,263,419,870,919,127,820,264,001,909,981,991,303,724,
730,306,033,718,809,225,126,529,204,844,743,336,939,752,179,450,224,626,143,
747,625,474,365,895,957,798,912,716,272,504,723,282,564,746,072,646,034,795,
808,802,897,141,454,292,562,529,638,130,254,428,882,162,324,947,685,917,209,
628,473,100,428,510,792,007,369,195,522,326,272,641,650,018,343,046,339,620,
783,111,488,003,958,948,541,909,302,767,423,635,304,369,505,036,600,237,976,
731,985,943,412,428,780,590,580,021,347,689,275,883,897,321,569,638,054,392,
089,603,461,112,003,968,183,754,564,015,195,154,327,825,747,191,617,241,367,
791,419,632,702,323,728,496,082,317,292,872,600,327,600,641,919,844,440,009,
327,511,751,848,210,503,905,854,228,266,787,829,549,505,434,033,332,426,191,
879,062,096,984,986,489,586,137,305,078,405,132,431,216,860,315,174,733,369,
195,461,060,205,229,286,133,432,211,215,372,104,267,768,342,612,376,945,596,
976,094,244,054,874,588,377,553,068,339,670,892,494,925,964,288,971,503,104,
075,950,735,347,936,992,301,480,306,752,143,710,847,462,163,533,403,675,946,
939,786,708,104,530,223,718,159,257,261,162,697,150,554,684,055,283,710,508,
178,204,940,967,643,336,416,788,617,514,867,869,711,868,732,456,513,290,703,
258,214,336,587,130,749,034,628,716,986,690,794,929,234,921,106,125,099,596,
825,985,008,306,303,528,376,581,332,798,298,359,734,306,791,235,252,031,090,
885,185,487,694,105,522,696,297,697,213,115,755,149,621,536,651,448,285,580,
968,387,997,710,897,746,587,619,966,147,693,101,088,126,526,719,415,492,591,
496,620,016,721,945,411,660,575,509,434,265,914,290,351,797,020,464,546,143,
339,386,031,180,232,696,380,167,330,379,190,200,216,596,949,925,495,435,646,
735,841,922,727,750,790,208,709,772,674,297,352,015,972,116,498,549,949,459,
900,717,823,951,074,024,558,189,248,824,749,618,069,570,779,785,797,394,873,
754,392,055,296,803,030,667,826,875,323,060,311,904,786,256,430,645,540,105,
361,264,170,259,588,635,182,106,864,086,255,106,968,599,165,538,563,780,318,
724,690,130,172,745,721,250,945,647,645,571,689,117,557,163,219,404,848,417,
053,946,292,710,797,026,100,308,087,421,015,088,330,407,572,348,627,738,804,
475,625,577,407,925,854,943,992,496,434,791,896,541,567,755,235,149,550,311,
526,599,102,623,970,885,206,750,613,981,397,252,925,299,305,685,108,666,183,
828,298,620,224,679,818,977,532,335,469,213,706,244,037,846,705,522,828,567,
869,516,878,832,478,981,552,747,735,580,722,616,281,698,154,503,062,434,721,
753,133,458,824,691,017,684,256,840,505,818,427,972,783,719,122,663,501,748,
670,930,689,288,293,952,232,742,920,206,758,164,071,627,059,812,118,305,379,
293,689,243,899,577,840,487,684,575,593,745,308,313,579,392,213,222,504,969,
058,880,136,249,998,667,957,423,903,690,106,567,310,940,844,363,738,047,115,
968,354,004,367,807,626,954,340,458,843,585,827,762,121,868,948,676,047,057,
827,709,503,696,226,133,323,536,218,423,004,747,750,838,800,649,435,004,853,
735,729,659,030,902,365,406,394,965,316,793,624,947,759,444,785,678,764,415,
221,411,450,096,146,335,318,486,696,662,119,557,437,044,258,887,647,715,706,
983,102,426,926,272,650,886,461,890,564,530,979,649,998,276,406,175,723,778,
677,139,187,499,202,312,406,343,147,116,898,341,721,656,980,529,751,820,179,
201,002,524,437,196,411,644,186,526,911,429,561,398,253,091,510,408,056,977,
043,634,799,126,359,982,082,109,702,827,494,908,000,960,479,860,625,060,789,
810,712,252,941,124,150,689,409,394,414,774,681,619,899,983,198,595,152,334,
499,513,375,521,962,035,923,597,965,563,409,698,492,689,408,934,266,845,348,
705,797,899,176,120,195,582,977,970,791,119,048,900,815,392,278,848,341,387,
656,209,017,944,543,614,029,558,881,216,575,401,994,882,403,361,504,784,758,
822,011,332,259,119,255,097,720,581,723,729,268,202,371,333,051,946,567,513,
542,675,996,122,990,554,145,570,870,147,995,002,495,770,570,881,635,241,630,
633,411,947,598,381,121,350,524,292,444,032,252,673,365,845,446,803,921,750,
586,525,872,427,851,265,764,040,746,143,635,083,691,431,059,765,753,007,743,
276,183,694,188,827,322,989,065,782,344,223,128,198,076,285,122,996,605,878,
049,414,613,293,453,754,996,159,491,224,026,076,553,310,333,014,463,564,494,
412,957,016,840,318,684,531,519,386,570,567,680,482,456,038,325,099,976,754,
689,040,911,003,247,280,690,937,110,522,983,645,983,370,971,670,319,524,149,
078,627,091,863,932,978,434,105,764,298,874,196,958,792,678,868,537,293,147,
104,949,714,101,070,152,123,409,248,651,893,480,285,127,604,801,313,772,808,
119,502,018,170,772,886,874,920,510,532,763,485,190,834,602,058,788,397,520,
178,886,887,976,009,342,752,685,056,173,190,355,504,974,679,118,740,274,159,
648,262,342,102,564,241,132,909,317,068,703,605,364,844,698,571,492,486,809,
692,474,443,223,331,002,275,997,607,255,173,979,723,728,416,271,893,975,615,
552,823,819,972,124,695,261,095,204,103,606,173,158,872,970,432,747,127,783,
952,444,453,260,046,673,364,172,311,404,339,739,337,266,216,766,578,085,899,
496,609,611,559,585,147,240,091,670,529,213,153,503,716,602,338,565,960,177,
707,044,528,460,088,583,936,514,380,604,260,135,420,944,776,946,092,324,087,
645,678,933,349,493,634,107,464,286,899,925,233,558,378,357,145,126,099,710,
960,974,454,998,018,569,841,450,482,233,685,961,905,417,364,998,782,307,102,
904,725,579,432,835,197,185,860,503,708,393,498,140,774,797,420,440,550,526,
059,022,552,449,677,716,994,358,668,866,569,156,244,899,267,730,376,666,362,
462,104,154,243,616,060,517,327,516,684,065,400,772,309,142,423,748,715,194,
150,732,240,668,881,757,782,118,303,395,949,030,790,124,919,140,888,401,560,
656,217,744,843,083,512,196,798,720,208,220,584,600,520,186,094,127,269,735,
373,164,366,354,691,616,538,768,477,037,142,298,002,145,071,874,953,016,968,
298,905,192,957,170,205,300,487,738,318,064,791,336,711,505,585,778,842,274,
925,043,051,267,937,219,953,081,166,434,994,149,166,509,497,002,365,493,527,
373,696,241,271,790,434,403,235,868,053,061,152,538,582,136,265,568,758,424,
602,020,330,480,640,311,802,471,037,259,958,564,221,827,636,785,991,393,573,
482,374,831,754,997,702,717,282,923,756,954,646,148,163,024,596,709,417,321,
738,053,047,836,985,899,413,452,024,830,336,716,982,952,839,017,018,814,964,
380,847,501,329,277,933,028,863,270,105,945,882,422,455,036,240,812,229,773,
161,219,746,486,435,750,729,721,844,738,039,603,559,281,689,983,167,765,538,
834,160,550,958,225,909,142,656,746,887,375,884,822,416,691,711,509,068,906,
579,853,460,726,239,874,818,195,750,011,155,862,128,803,751,445,941,278,460,
805,544,815,772,127,424,648,059,363,980,681,965,136,702,601,378,216,606,170,
609,431,693,052,431,060,199,146,386,565,210,220,299,101,318,015,286,234,072,
798,948,669,719,317,320,479,715,611,661,824,886,409,775,180,010,856,875,191,
791,002,467,519,426,803,760,262,706,218,344,075,067,245,755,169,480,673,514,
588,657,171,670,855,947,568,278,406,292,659,380,683,495,048,884,705,934,627,
188,627,612,266,886,147,683,946,789,989,305,097,829,144,454,146,172,130,795,
669,818,548,169,982,690,623,413,793,185,752,265,426,845,940,743,089,208,538,
234,530,048,139,595,868,687,025,368,574,967,542,512,309,064,778,132,860,230,
485,705,050,325,967,771,167,413,199,518,528,526,253,537,662,233,584,373,996,
801,979,006,315,605,694,067,762,031,634,343,965,867,325,112,605,891,189,550,
674,703,787,971,218,161,854,893,930,845,821,260,905,902,040,918,749,422,019,
720,809,817,700,617,158,990,519,818,647,995,348,230,820,763,048,672,431,251,
120,078,921,085,811,117,089,181,508,307,447,985,701,604,651,843,810,181,366,
888,115,053,832,139,717,503,279,456,270,410,358,215,073,243,702,601,330,092,
175,817,034,859,207,728,667,966,078,110,666,200,574,732,992,323,676,765,713,
993,816,946,800,397,524,888,158,816,825,965,993,377,837,858,137,068,204,591,
851,205,954,756,818,980,334,117,482,799,292,746,056,682,614,211,720,108,328,
836,386,951,085,999,704,714,949,938,574,392,989,677,142,742,882,448,986,983,
316,177,277,419,637,429,437,067,550,313,683,781,457,831,824,192,182,776,692,
011,096,446,377,354,742,111,616,496,825,833,464,273,365,986,168,232,718,005,
263,675,555,579,079,764,864,999,665,416,804,989,290,032,341,301,847,874,921,
988,147,387,945,189,560,374,141,404,300,466,124,876,336,899,065,467,827,672,
392,696,993,704,831,208,220,276,635,833,577,820,279,364,577,804,106,135,056,
947,226,184,652,341,144,913,849,650,280,076,550,674,551,442,331,757,668,630,
409,458,065,605,221,480,261,129,918,705,151,413,929,856,312,434,423,240,717,
871,615,697,855,888,266,268,118,491,004,478,839,898,361,001,144,043,729,958,
068,141,570,106,668,426,284,037,000,485,810,709,326,332,274,000,037,895,740,
811,146,529,902,688,672,365,454,175,753,055,870,928,362,635,193,204,196,394,
511,692,792,751,240,781,643,232,781,131,543,242,270,541,325,673,822,439,856,
960,453,562,979,604,355,223,729,173,513,631,196,636,273,663,581,215,972,180,
590,771,158,209,422,134,998,177,801,453,996,126,786,036,264,861,754,552,780,
785,188,535,150,007,869,460,237,476,720,041,407,341,703,833,832,637,622,495,
784,689,437,593,730,235,016,343,406,952,213,752,185,989,034,438,204,416,525,
276,328,983,616,897,944,061,187,978,277,300,438,080,029,249,684,622,670,739,
995,551,340,438,680,560,775,357,809,412,787,018,651,501,155,722,910,736,738,
803,868,726,200,818,690,544,247,175,622,031,561,486,781,551,719,965,415,342,
175,024,890,229,879,178,527,537,593,102,391,358,870,764,871,445,201,453,713,
925,639,421,961,601,465,062,439,868,756,357,104,960,511,308,602,849,162,337,
896,489,469,427,229,128,583,845,291,446,840,807,105,716,752,087,948,096,075,
456,419,895,390,395,304,078,987,022,654,671,414,515,309,860,452,060,152,837,
158,588,883,798,518,554,365,215,295,655,016,461,016,450,665,113,559,354,031,
300,598,913,388,371,712,989,474,347,594,093,557,192,772,594,001,068,300,098,
668,658,380,900,110,826,475,734,788,728,464,169,668,755,113,689,721,309,751,
175,806,118,437,843,646,413,306,191,174,681,737,792,741,787,141,403,602,547,
441,498,958,889,108,190,297,637,348,777,022,247,347,526,145,154,932,528,895,
366,919,991,954,928,242,968,466,465,392,114,532,523,916,484,888,905,796,808,
989,254,234,831,961,458,561,251,688,351,335,619,345,089,281,202,243,581,447,
658,941,938,932,520,597,912,663,046,804,297,843,012,859,359,931,326,703,830,
452,162,691,281,416,665,839,023,880,918,320,921,037,861,641,600,619,552,915,
973,177,149,618,421,950,002,731,910,575,813,949,980,024,153,992,371,549,767,
441,136,365,126,744,173,563,312,869,465,503,986,984,327,688,618,771,350,187,
310,622,140,957,960,706,276,311,488,565,163,100,860,059,824,070,627,066,286,
738,608,111,072,521,335,353,518,809,677,610,679,546,142,663,588,465,556,895,
829,062,178,947,440,413,625,309,113,211,122,399,802,635,092,429,478,297,810,
857,407,245,839,913,998,565,346,648,244,058,976,784,209,994,885,072,917,402,
016,988,974,409,326,303,983,508,809,653,047,932,665,758,815,477,404,890,243,
318,135,519,560,481,616,852,659,845,614,496,432,349,069,539,564,683,138,467,
820,958,729,954,915,120,475,382,879,357,426,781,408,261,422,733,406,824,539,
536,426,615,008,423,993,917,934,384,307,695,225,794,561,963,232,643,968,690,
576,839,442,474,680,886,553,159,147,376,312,982,616,011,367,306,522,279,056,
974,975,695,805,124,947,277,222,732,294,653,988,263,181,321,463,718,479,607,
814,581,612,140,810,085,244,712,466,887,266,112,765,165,145,715,564,672,793,
682,255,303,925,746,082,443,425,698,723,909,727,586,396,250,543,828,010,130,
966,149,997,438,714,164,254,412,460,108,379,139,594,694,539,774,986,977,595,
537,421,706,433,033,657,156,128,503,830,845,984,259,525,522,301,711,420,552,
765,671,550,697,866,332,447,984,470,338,291,653,567,436,023,747,187,786,024,
893,423,339,154,216,479,772,862,887,889,745,131,517,812,204,788,693,074,659,
835,679,575,089,419,031,370,936,493,420,399,602,981,858,412,345,747,737,614,
570,154,790,459,719,015,299,442,079,800,212,940,333,895,214,645,284,239,809,
292,288,286,730,740,133,919,598,564,952,966,175,504,338,041,756,176,446,757,
431,540,648,131,552,585,888,374,676,126,973,533,457,540,193,436,382,782,774,
801,795,829,810,535,999,655,123,194,807,914,311,123,942,171,881,774,202,788,
013,210,266,755,183,175,226,200,780,085,309,596,726,441,557,433,671,947,892,
446,091,144,328,525,662,053,936,699,416,817,370,703,196,431,604,790,176,876,
364,663,813,010,542,830,131,772,995,599,712,349,361,575,271,887,968,411,181,
660,742,730,567,400,818,322,421,276,694,679,524,435,230,923,377,428,084,750,
699,749,064,478,187,754,499,855,136,610,924,739,362,336,820,973,141,763,689,
831,431,980,428,933,079,191,431,015,634,446,782,171,651,376,633,532,880,680,
961,857,508,973,692,327,822,444,044,405,068,401,193,574,543,695,920,579,036,
991,676,181,684,259,402,688,775,257,663,886,735,390,336,839,516,257,435,446,
893,557,538,731,894,879,448,281,407,073,917,815,056,157,786,684,357,263,352,
555,509,562,083,490,174,947,682,668,725,293,172,986,796,990,198,068,046,689,
076,700,635,530,880,586,559,368,341,444,323,619,169,133,020,691,004,021,804,
919,459,273,936,360,993,041,364,886,621,513,470,737,571,615,888,325,926,285,
567,955,282,312,728,224,167,398,741,821,442,337,000,388,490,988,392,733,492,
624,483,046,190,832,174,564,063,815,589,545,956,412,067,040,037,802,171,317,
139,640,913,912,293,750,653,390,444,881,039,659,921,974,675,235,566,294,282,
346,212,096,359,631,611,442,269,118,853,005,014,825,894,299,349,539,105,229,
140,899,848,453,508,276,460,646,127,348,242,828,352,519,653,386,082,776,901,
509,611,685,206,030,580,234,776,155,049,607,481,818,790,317,564,658,438,707,
696,632,341,786,558,538,413,154,532,612,425,316,357,466,469,430,452,066,041,
836,615,596,757,557,457,257,422,569,353,271,826,181,990,479,148,198,547,588,
640,563,753,002,736,173,623,014,254,025,365,628,728,705,111,995,830,536,817,
655,676,174,453,536,115,564,630,652,596,464,028,118,227,550,893,221,042,698,
008,216,070,492,559,129,203,914,452,588,994,105,764,490,111,852,597,043,434,
895,125,408,969,991,184,599,912,245,111,005,790,833,194,923,952,483,338,219,
714,059,346,260,060,687,893,111,303,582,513,182,880,524,596,246,912,328,749,
858,610,156,970,569,493,251,478,494,925,810,032,110,433,292,451,627,479,547,
965,344,314,795,846,576,548,935,300,628,734,301,182,815,522,727,974,871,407,
065,842,626,008,042,380,199,235,035,492,933,654,346,339,664,779,288,549,445,
260,241,392,453,617,333,718,619,920,978,178,869,669,197,381,440,145,446,313,
275,554,209,236,453,343,103,708,511,796,024,370,659,847,883,222,525,464,152,
909,180,872,281,577,290,049,004,546,299,054,749,306,052,602,018,154,149,898,
239,010,950,739,066,336,296,090,310,693,521,906,565,193,530,153,870,055,270,
125,076,370,185,791,764,292,629,645,349,761,990,422,354,707,143,744,824,848,
175,582,040,562,557,122,222,617,803,530,516,260,390,460,303,572,049,148,333,
234,566,096,313,617,594,223,628,416,220,183,238,084,636,378,006,258,763,179,
191,967,455,050,217,939,753,946,888,925,294,642,223,347,259,469,414,530,042,
398,856,438,379,768,756,769,343,690,315,584,645,997,531,962,029,550,225,941,
328,420,779,138,570,518,502,359,578,241,560,832,538,105,015,128,406,314,493,
476,764,352,339,308,293,309,794,902,807,138,171,289,761,964,258,680,992,488,
908,016,764,654,513,922,504,013,385,043,824,396,629,424,097,711,539,785,416,
389,132,922,224,330,567,514,498,190,193,059,534,579,976,439,250,216,933,718,
767,097,493,608,286,218,790,166,473,151,647,133,781,364,382,133,957,428,973,
581,791,238,289,328,909,894,139,727,662,764,500,096,042,541,334,908,192,252,
230,625,136,114,044,677,608,107,585,232,658,840,238,611,883,977,857,194,913,
606,259,298,141,206,623,367,504,275,523,397,697,925,947,391,060,839,976,047,
703,081,967,355,213,716,031,401,114,134,804,898,854,352,908,550,971,501,155,
584,222,099,585,113,189,903,007,386,619,417,574,928,924,402,157,307,657,586,
891,065,395,964,173,810,203,178,157,488,939,543,455,122,838,440,072,932,382,
696,455,180,353,277,281,823,380,966,953,352,110,746,560,401,831,422,768,828,
037,335,222,678,699,519,523,962,584,133,849,635,645,119,935,619,904,948,312,
683,868,577,277,890,828,996,019,176,826,486,496,573,235,277,568,703,942,783,
631,438,139,807,574,703,040,645,428,993,323,544,031,803,195,226,128,348,803,
091,309,844,989,742,032,432,019,395,041,301,225,724,908,569,577,284,000,325,
546,038,986,044,485,795,057,705,158,630,077,132,900,253,735,858,389,948,612,
190,267,163,141,304,420,792,011,535,769,326,305,983,758,015,599,589,426,134,
315,164,327,647,160,273,459,755,579,261,832,748,498,248,726,832,508,570,452,
943,186,670,761,176,850,165,469,464,659,000,796,265,782,290,823,724,743,784,
091,461,333,386,986,156,213,277,156,762,716,374,614,632,686,800,739,849,977,
466,575,821,604,937,008,531,747,131,557,336,605,729,598,400,523,764,230,574,
623,932,796,900,147,359,328,430,941,256,084,482,467,162,754,888,345,837,747,
399,567,879,978,435,414,878,499,711,484,595,645,885,986,650,596,293,277,466,
772,350,059,215,135,181,498,984,081,680,754,220,011,760,620,766,298,439,486,
446,209,299,876,481,476,540,999,059,045,777,717,609,429,801,813,755,629,127,
797,313,178,683,837,315,601,614,524,993,243,884,395,613,266,670,384,697,603,
701,736,691,217,505,273,930,848,526,562,896,252,398,054,190,813,924,601,004,
791,153,496,236,256,018,913,961,430,928,730,742,157,784,146,992,827,506,441,
710,260,841,213,023,712,823,155,095,473,691,604,616,493,962,641,361,531,573,
500,627,817,323,247,199,606,779,262,487,682,473,433,805,464,580,977,689,637,
593,039,319,308,414,975,931,384,842,710,396,369,961,673,675,040,436,725,375,
903,071,891,065,867,994,421,128,304,852,430,283,347,650,693,664,706,140,804,
354,906,817,032,565,125,528,531,340,735,627,927,842,322,962,473,638,525,517,
181,314,324,302,348,069,721,034,639,049,157,714,074,779,256,571,572,622,082,
271,082,170,032,267,257,908,681,829,664,102,309,609,369,039,065,081,427,066,
868,789,762,621,669,042,659,475,898,090,566,307,179,819,006,708,308,203,273,
060,052,687,796,548,993,764,085,394,652,725,983,940,209,713,065,921,754,313,
610,747,293,038,098,731,002,800,443,305,732,420,568,953,111,535,193,494,448,
791,336,296,199,005,705,822,373,943,743,544,723,662,716,674,106,459,851,537,
202,586,056,768,104,883,851,742,552,803,608,765,484,170,009,591,727,523,353,
826,906,992,004,532,011,924,889,141,654,972,107,192,668,322,333,856,287,087,
863,287,679,076,086,660,806,651,280,019,754,942,407,930,338,346,316,830,613,
722,009,560,492,590,230,623,332,784,288,609,903,837,418,628,640,460,039,200,
188,943,233,149,823,688,574,752,218,458,842,716,624,039,366,400,564,246,099,
190,797,402,298,538,652,063,389,383,123,597,380,074,148,792,155,156,538,367,
783,732,052,822,166,570,876,470,906,037,752,762,794,323,286,921,155,924,030,
168,469,131,280,285,668,355,126,237,007,770,615,928,697,227,173,748,237,570,
928,436,870,267,219,654,746,796,640,134,157,205,486,210,274,177,003,012,710,
268,034,172,357,162,103,241,826,131,240,104,958,499,999,003,665,928,551,659,
589,889,312,841,659,294,518,639,995,129,083,404,794,891,051,886,647,669,337,
616,228,957,567,829,801,704,676,399,100,246,421,388,351,951,853,502,290,609,
038,069,614,734,123,054,366,122,010,179,495,224,321,750,863,532,362,269,111,
545,956,809,054,375,314,984,345,562,678,151,401,315,951,343,426,589,503,691,
550,244,064,627,639,592,016,343,407,909,622,916,127,644,744,661,111,467,188,
011,558,389,602,882,567,325,052,928,498,477,407,140,988,628,749,029,391,991,
829,680,584,028,121,776,934,898,789,051,113,225,824,418,744,690,852,310,168,
867,703,462,481,447,972,681,627,416,966,241,663,817,263,715,896,080,777,528,
152,773,754,769,147,932,920,454,218,122,196,956,744,696,221,971,935,424,771,
138,286,762,073,129,744,302,754,371,314,803,955,826,378,744,255,886,416,404,
474,875,029,150,701,427,535,763,452,228,695,363,716,911,780,306,518,569,496,
956,899,327,175,038,394,522,788,633,750,334,145,429,733,547,410,807,359,643,
332,678,720,767,412,287,778,418,284,587,255,755,719,053,107,615,335,395,517,
035,362,630,110,036,472,196,043,710,771,226,987,487,350,428,591,694,315,116,
717,557,245,640,029,101,050,957,609,534,704,368,565,786,025,581,409,114,858,
276,986,314,369,554,175,710,616,454,501,375,167,542,119,432,294,774,389,727,
141,412,397,497,519,658,316,281,911,871,128,921,014,469,942,265,791,855,479,
942,716,026,928,607,195,513,918,557,686,125,348,531,397,590,299,452,654,980,
582,590,594,669,501,121,962,992,831,180,486,981,728,623,143,277,019,046,016,
428,508,542,374,186,606,965,498,694,686,692,354,448,845,208,932,773,895,043,
838,093,796,462,723,192,880,705,562,943,652,157,671,986,979,309,808,070,429,
433,241,970,446,882,015,737,057,400,213,825,630,400,726,541,886,831,437,949,
150,437,610,715,557,840,424,127,042,157,811,960,090,385,776,668,825,821,758,
589,292,120,163,233,366,725,083,998,085,528,161,529,987,943,646,225,725,858,
122,947,663,931,866,966,946,966,682,507,170,815,415,339,902,351,303,767,923,
242,013,828,491,749,110,554,735,858,971,220,197,925,330,404,207,890,652,362,
597,322,770,449,963,415,927,650,318,115,801,682,822,805,727,686,845,011,240,
402,115,354,680,830,721,316,989,410,898,901,994,229,963,000,909,296,732,745,
326,349,850,024,452,035,472,465,651,850,281,830,255,879,086,727,168,497,982,
922,526,763,532,371,091,209,491,077,021,103,503,168,700,671,137,572,842,417,
708,017,365,661,437,243,630,599,195,733,259,793,371,556,480,618,389,035,146,
722,493,807,659,708,293,521,672,451,498,863,823,273,563,290,448,880,748,504,
281,142,626,227,585,439,877,883,804,149,755,682,196,621,171,676,081,021,036,
354,070,062,197,973,323,049,244,773,960,059,596,420,576,117,755,685,882,985,
300,159,299,652,564,601,248,176,192,496,482,949,089,714,212,849,956,956,857,
286,332,724,224,962,029,005,913,139,674,913,324,201,470,169,566,004,317,928,
414,391,889,631,793,871,605,276,494,563,639,903,981,412,784,671,189,687,267,
778,706,929,828,094,020,709,538,325,831,860,721,352,080,226,769,558,504,610,
724,115,105,050,568,580,804,144,285,436,202,746,313,859,490,204,580,872,391,
037,425,041,812,286,464,335,512,551,524,484,658,210,305,721,734,311,625,438,
446,620,578,166,266,843,987,495,019,014,489,149,683,195,823,324,119,137,349,
582,461,564,717,380,521,674,733,451,394,458,705,466,979,973,025,875,450,257,
278,099,554,098,431,224,408,472,938,922,591,508,458,844,886,129,112,867,899,
906,097,441,135,694,049,280,529,256,118,773,746,253,369,140,151,882,218,505,
330,942,676,844,615,916,267,612,188,144,720,743,087,030,430,256,161,437,787,
903,675,723,477,840,100,041,337,187,017,333,077,766,687,598,555,292,732,651,
010,944,320,698,931,852,695,438,783,905,812,859,003,979,716,111,907,744,927,
793,681,755,133,573,788,929,706,046,722,436,149,116,663,342,334,010,691,837,
773,354,036,906,890,239,190,514,040,512,703,160,280,560,491,490,457,879,582,
519,953,814,206,734,974,924,634,451,374,536,489,250,377,761,385,857,624,043,
082,291,100,994,340,867,129,462,137,929,136,437,520,029,801,812,620,555,089,
989,363,113,585,147,805,238,627,647,114,289,828,705,843,217,953,710,718,454,
771,558,954,320,594,333,694,275,711,157,598,052,450,365,659,877,774,004,170,
067,362,449,336,396,978,350,824,152,737,533,880,821,971,460,097,226,008,973,
316,537,399,041,242,458,606,734,441,358,812,261,324,668,565,812,842,850,666,
563,346,843,796,453,164,791,763,294,746,884,616,986,704,018,201,887,981,275,
046,977,712,676,368,676,675,254,558,502,308,967,371,742,843,071,043,256,352,
749,113,307,130,130,015,050,342,782,978,239,586,033,428,583,725,482,303,414,
742,896,022,833,259,418,313,339,059,549,338,496,644,150,203,380,802,273,739,
208,762,200,676,999,804,980,833,796,436,739,633,285,834,460,821,493,228,584,
868,482,068,936,777,971,258,126,057,296,230,967,048,938,583,855,193,937,611,
329,869,779,299,571,112,806,332,605,276,284,225,992,218,518,778,901,130,734,
710,339,252,467,793,958,890,989,427,698,301,629,987,411,388,759,957,326,730,
880,972,729,030,504,710,679,889,538,940,658,699,355,085,608,688,816,415,634,
163,500,706,469,418,988,321,799,518,258,674,259,477,532,523,023,881,443,255,
585,970,882,549,932,730,092,688,788,864,584,779,888,314,239,570,570,841,619,
072,605,741,867,322,137,307,842,202,190,285,326,876,309,731,893,120,704,077,
595,786,788,961,919,492,388,580,861,534,682,327,013,090,575,768,588,431,720,
910,537,050,858,125,111,208,650,775,582,184,566,374,764,127,930,981,286,511,
244,294,818,053,193,306,469,377,448,071,821,980,917,528,347,348,138,259,766,
284,563,790,832,242,605,593,793,992,493,048,107,369,313,255,954,013,511,799,
354,747,974,246,968,586,301,537,449,577,591,630,658,822,868,463,838,694,047,
261,906,834,111,637,432,034,909,827,743,957,320,259,145,610,503,953,869,380,
911,278,944,128,227,762,882,612,954,964,410,729,432,377,701,652,316,444,328,
871,697,334,803,289,709,412,366,373,981,314,654,801,939,738,239,908,945,800,
971,099,285,393,537,059,991,893,695,097,395,482,891,372,535,691,706,348,405,
662,188,734,863,985,311,903,620,889,725,650,518,317,243,539,463,557,380,560,
022,485,812,373,967,019,911,259,837,548,526,192,330,552,909,105,904,129,707,
973,212,594,418,971,296,193,313,094,898,768,814,717,194,652,256,366,089,153,
539,785,825,383,053,121,456,892,489,179,393,942,391,445,779,616,912,250,031,
957,780,975,118,687,940,142,918,668,822,107,693,878,782,133,743,404,807,122,
014,589,375,130,730,511,192,517,971,807,461,452,211,522,943,453,917,229,791,
529,559,098,868,373,945,565,185,831,912,034,683,084,988,233,104,898,155,634,
564,849,692,147,252,510,420,303,838,038,697,411,821,848,255,709,667,742,259,
737,206,230,131,907,101,108,162,252,474,791,557,066,435,828,307,087,748,640,
177,158,676,413,578,212,300,810,172,449,607,997,708,215,308,957,909,782,168,
954,522,890,254,664,986,873,830,569,083,906,434,776,394,126,907,031,871,953,
434,505,942,601,520,658,768,195,118,505,851,415,464,421,935,424,361,941,610,
237,059,669,561,390,608,340,663,219,998,650,019,014,833,436,785,508,407,728,
751,964,609,176,351,048,642,244,259,635,057,592,163,747,237,165,936,987,969,
318,524,021,022,768,381,042,826,301,674,327,471,731,628,897,389,471,818,183,
866,088,082,407,096,983,245,913,488,823,724,488,495,412,911,491,345,293,508,
535,505,759,280,824,798,765,298,977,708,783,035,030,330,340,854,464,353,852,
021,695,323,320,112,818,101,794,242,563,994,608,204,220,400,038,531,528,584,
539,391,077,436,054,685,087,579,225,780,997,251,661,489,778,324,854,236,078,
200,964,843,472,725,970,483,681,899,740,555,931,360,718,410,320,147,391,121,
975,444,421,457,749,285,090,666,083,410,941,038,609,989,536,225,682,672,879,
578,233,376,158,624,317,520,862,085,454,477,075,008,976,768,506,191,096,560,
470,845,867,112,530,410,736,680,379,854,867,226,724,353,247,339,001,320,226,
552,409,063,793,904,437,327,135,254,277,840,221,864,213,740,869,733,037,525,
421,125,629,452,584,190,626,706,895,564,361,073,881,565,153,008,513,820,080,
834,229,972,328,772,711,270,573,306,905,979,040,357,903,768,331,713,141,123,
015,017,404,811,257,085,797,884,190,299,297,724,460,855,683,491,964,804,950,
556,291,638,655,846,161,339,604,514,059,676,317,077,104,333,611,681,964,466,
549,989,677,524,487,303,874,364,583,712,126,662,367,209,997,829,352,819,737,
513,375,750,031,210,240,903,212,282,317,435,100,970,382,924,630,387,605,441,
624,195,476,537,433,985,514,571,912,554,624,318,964,548,787,700,380,144,877,
524,331,965,968,946,747,641,678,903,923,191,747,874,133,692,619,152,533,454,
727,740,475,634,519,408,727,598,990,964,529,847,966,208,314,486,624,475,590,
157,603,561,515,320,533,456,502,447,946,907,377,175,602,875,809,056,778,852,
221,773,133,231,820,463,205,140,947,213,180,544,473,675,699,198,893,355,592,
456,471,815,070,413,928,185,674,566,810,660,460,131,107,643,921,834,883,653,
330,713,020,330,030,790,109,986,743,326,189,663,498,983,230,922,654,135,530,
579,889,663,543,919,520,266,313,086,427,592,526,205,297,707,944,167,674,825,
460,173,618,151,022,903,506,129,901,508,653,447,108,055,605,493,152,350,753,
529,159,919,417,913,600,387,253,655,678,898,846,895,379,083,707,451,928,838,
264,347,984,433,457,938,186,571,269,804,484,164,463,233,163,234,912,923,832,
677,185,925,319,614,684,106,944,884,098,060,786,837,590,041,197,308,910,534,
506,639,155,539,800,247,294,090,808,458,520,838,603,534,696,124,736,649,750,
736,302,498,701,372,359,449,902,334,273,842,732,279,245,245,380,104,535,642,
839,809,128,175,308,084,717,573,919,386,351,117,593,147,029,959,641,155,790,
821,882,565,675,026,959,852,203,605,846,952,425,143,694,507,661,345,896,359,
263,362,145,529,787,472,000,473,110,633,970,194,848,169,207,983,643,840,338,
804,008,447,911,024,340,847,984,995,364,155,624,030,526,011,912,596,904,706,
066,652,154,213,805,972,941,451,731,486,332,539,157,718,312,844,491,184,618,
015,951,020,658,530,115,941,081,074,880,999,760,434,332,570,269,722,590,488,
640,017,918,661,379,169,275,855,887,854,019,400,107,610,640,179,160,588,284,
873,929,319,855,177,308,058,488,112,914,582,598,458,235,064,357,971,821,305,
052,985,970,539,712,398,131,918,713,200,619,230,172,010,984,214,379,332,976,
110,922,961,668,787,896,075,985,327,739,891,957,615,266,821,958,820,241,336,
457,912,045,356,258,130,405,348,240,975,571,721,380,511,458,094,431,574,264,
911,363,232,447,709,572,593,424,883,199,022,596,723,803,135,221,182,365,546,
117,764,303,305,092,872,193,987,782,657,845,129,371,720,610,764,922,459,717,
990,027,860,462,864,164,076,099,342,558,125,419,242,932,199,025,296,726,151,
708,665,058,651,219,390,355,046,827,674,693,630,264,269,977,403,140,338,355,
030,414,838,496,954,642,003,483,667,272,624,034,006,661,637,521,620,235,329,
575,657,301,584,298,112,573,647,592,190,586,108,315,028,323,997,089,486,652,
597,335,936,875,248,688,317,145,047,030,165,012,800,978,397,594,861,521,696,
674,831,659,156,637,061,070,610,999,720,364,354,501,707,064,414,347,593,791,
257,477,106,136,694,756,520,653,971,093,630,032,927,933,006,923,835,816,454,
953,596,640,982,813,099,535,779,890,167,407,640,660,138,368,171,313,276,286,
545,490,626,101,441,703,748,877,802,721,063,273,221,300,477,961,347,886,911,
022,768,663,910,894,635,036,510,288,120,791,761,047,581,212,884,563,176,924,
278,102,069,324,936,497,804,509,637,394,574,026,125,713,178,931,309,131,208,
614,577,046,395,749,517,539,691,276,577,774,331,587,679,562,408,472,988,035,
231,995,019,171,351,164,134,089,709,541,004,604,123,173,812,455,431,087,517,
247,536,484,762,187,584,716,202,510,431,895,212,226,108,260,536,354,932,137,
977,417,536,825,456,584,937,260,734,442,286,172,465,713,076,969,741,229,862,
782,664,623,330,426,060,782,659,858,595,942,673,414,947,871,856,832,576,538,
082,196,348,906,438,237,327,187,183,889,792,592,780,410,059,103,588,437,868,
557,730,465,738,548,965,253,976,938,070,462,608,234,606,237,878,738,612,607,
826,298,886,295,099,963,489,930,343,191,315,853,651,969,192,295,943,180,841,
750,113,871,033,441,448,514,328,748,486,609,118,687,414,234,457,521,614,408,
764,389,134,810,966,333,138,337,918,420,499,617,902,259,014,238,180,177,855,
273,509,835,513,565,892,002,483,579,987,324,084,590,337,244,233,121,360,107,
530,256,250,780,357,023,605,577,940,908,870,093,924,492,471,137,748,632,577,
605,213,336,612,638,779,689,860,890,114,583,900,579,578,527,463,576,390,445,
751,030,646,809,798,938,929,388,345,477,751,033,758,828,536,383,565,431,003,
522,942,418,270,331,567,586,349,995,835,213,377,554,531,306,223,638,910,692,
698,194,460,970,446,732,545,856,236,289,023,424,242,006,305,561,619,265,205,
641,201,137,388,587,246,167,703,225,216,647,693,400,652,661,432,131,215,096,
193,991,081,120,978,935,960,358,624,956,495,982,146,833,319,218,704,134,891,
854,885,190,698,008,804,524,267,321,140,579,252,429,518,867,481,870,591,886,
418,383,537,122,936,506,816,192,123,523,996,367,034,711,962,975,040,244,904,
289,603,762,228,545,252,208,120,792,079,179,334,788,901,160,693,090,176,841,
294,458,455,846,217,873,054,602,693,814,297,108,865,597,182,246,998,756,380,
397,888,454,691,338,804,737,367,401,122,326,953,767,660,227,193,107,089,755,
062,765,831,647,156,837,382,320,030,685,253,581,334,988,235,160,842,151,727,
016,068,898,511,114,944,322,725,447,507,043,645,521,182,791,416,029,828,606,
620,470,977,028,713,968,972,856,420,868,867,880,070,995,985,540,661,184,067,
305,099,707,518,159,163,623,868,921,694,493,064,883,252,136,092,721,092,486,
901,424,112,772,167,821,602,970,066,781,969,257,501,606,395,244,955,472,814,
424,480,173,989,524,834,182,293,045,282,855,054,756,212,628,906,752,540,247,
086,089,549,677,188,568,505,875,052,568,661,128,052,101,172,364,540,584,345,
547,783,020,292,238,341,687,207,016,744,683,434,519,718,068,593,664,878,101,
245,681,745,116,786,536,587,912,355,964,851,372,648,072,723,542,390,682,503,
575,645,736,809,267,865,085,147,273,231,536,746,509,618,441,183,651,037,976,
609,791,356,936,212,035,887,039,392,515,342,116,599,450,117,308,205,183,443,
614,275,706,189,744,967,113,172,460,268,098,739,443,640,264,671,813,422,552,
693,380,932,303,974,625,093,218,158,710,988,652,568,821,925,455,034,849,754,
138,970,830,641,053,757,983,037,395,825,493,171,439,298,238,919,190,023,288,
782,147,149,012,142,173,822,131,864,181,301,105,935,756,374,106,580,447,989,
054,000,295,597,088,396,022,531,838,606,025,346,041,350,432,292,271,216,988,
844,897,328,870,024,012,652,684,244,032,926,554,463,727,608,720,862,815,306,
159,333,337,501,074,799,966,040,521,014,889,069,567,508,872,043,010,779,651,
648,683,889,509,133,829,041,768,981,837,147,284,710,962,348,100,075,237,062,
159,300,418,050,496,894,035,334,492,925,869,223,333,524,337,862,138,236,505,
390,764,732,163,858,615,966,308,120,351,291,976,808,921,570,937,148,798,436,
835,328,684,784,498,590,665,030,740,897,862,417,869,946,890,915,068,451,543,
754,599,083,834,747,041,564,228,351,337,189,226,650,412,393,344,052,307,203,
848,557,181,279,718,468,693,774,263,136,417,363,795,498,689,613,980,043,239,
326,298,350,045,704,120,731,050,062,498,507,411,861,805,223,194,070,160,648,
555,566,574,245,309,787,166,693,219,692,552,433,292,786,483,025,946,407,029,
123,318,471,499,306,828,280,437,471,683,076,636,695,538,773,190,136,495,612,
394,477,632,450,214,885,925,693,214,785,995,347,327,007,347,907,730,517,141,
208,935,850,871,543,707,361,130,403,616,170,931,815,170,954,255,612,610,444,
485,758,044,255,438,236,892,560,548,613,367,222,713,613,392,482,550,619,362,
145,374,210,830,775,439,890,119,357,046,138,704,378,237,943,913,877,577,222,
545,407,571,988,437,582,342,681,346,444,650,534,757,362,329,188,214,438,875,
048,631,733,774,598,042,848,101,361,341,778,613,101,127,553,292,415,158,181,
473,595,983,717,980,800,233,000,441,574,491,877,829,950,559,388,216,983,131,
433,545,181,298,878,720,229,482,898,603,534,250,754,580,305,963,998,607,140,
610,948,056,988,493,272,142,079,308,444,039,205,162,763,771,115,068,685,821,
922,510,488,816,525,308,677,411,370,945,769,232,457,031,279,125,770,248,802,
816,107,943,953,405,403,292,744,529,507,234,600,597,519,891,942,616,196,465,
746,255,294,615,762,055,891,756,597,219,187,931,563,526,206,980,185,297,947,
344,784,806,520,207,999,580,894,276,461,119,566,169,071,887,304,297,203,412,
670,420,308,376,268,886,334,016,116,182,309,311,198,886,539,596,193,232,156,
023,770,080,492,656,345,969,699,561,989,857,496,630,459,980,822,796,475,202,
078,592,548,810,520,842,172,112,819,701,117,138,873,268,215,793,884,897,967,
353,360,487,511,527,192,984,684,599,495,487,460,341,322,776,510,740,044,428,
764,584,087,578,731,673,775,769,209,372,653,444,143,717,774,806,143,427,974,
020,490,464,561,305,707,929,165,401,770,899,325,995,728,119,758,568,165,727,
546,173,565,072,487,618,643,195,368,384,919,843,972,970,850,115,334,216,120,
689,493,204,535,457,766,548,391,110,324,456,216,829,105,164,638,089,693,231,
386,861,174,952,430,085,509,230,549,335,901,905,708,375,965,488,010,448,465,
169,076,594,880,413,173,223,439,579,965,926,766,445,227,162,747,576,584,136,
021,880,696,886,763,789,994,654,001,105,188,392,817,175,214,235,654,288,037,
188,045,356,192,810,711,000,127,198,137,173,967,961,930,354,857,821,100,070,
049,138,053,299,028,147,568,316,529,842,790,951,553,978,464,411,928,896,610,
341,484,502,089,034,716,713,983,647,811,085,695,464,656,863,473,266,454,709,
903,010,856,537,260,825,876,721,828,510,057,058,788,825,867,320,489,688,048,
339,934,997,274,380,991,887,551,571,970,162,009,511,561,919,425,064,171,338,
758,320,718,891,026,385,773,021,550,679,400,790,554,568,121,875,758,790,734,
378,626,952,873,927,823,848,398,807,784,750,462,685,116,542,678,612,773,943,
166,366,052,607,234,813,767,634,747,467,785,519,098,962,197,791,389,637,531,
549,760,108,956,131,137,194,561,185,110,604,539,041,859,496,908,023,021,593,
078,960,742,264,013,683,050,428,334,623,255,420,614,316,820,691,541,515,220,
647,952,234,431,449,260,935,409,900,860,582,444,648,105,312,359,002,534,169,
845,468,107,359,179,713,544,797,607,842,486,738,924,308,587,186,817,629,283,
925,588,206,875,924,977,867,632,099,151,761,181,303,828,057,076,049,886,046,
198,138,746,288,738,944,956,722,910,329,685,590,606,527,323,356,237,308,752,
844,892,572,974,896,800,198,344,565,987,461,066,637,581,778,296,560,493,993,
661,026,223,844,005,370,422,647,388,936,975,636,525,546,948,721,794,803,167,
569,552,733,741,848,830,738,284,210,516,269,077,445,271,600,428,306,032,570,
273,672,956,485,730,133,501,157,672,581,214,886,975,708,820,507,768,681,257,
473,096,981,460,698,079,372,064,845,383,931,383,059,654,973,998,148,524,111,
409,934,769,650,456,228,382,619,162,669,897,743,903,450,310,780,403,598,113,
362,934,319,498,769,847,930,831,798,338,692,168,366,343,862,173,938,770,771,
319,503,338,787,228,337,521,315,771,440,370,841,310,909,299,476,494,212,945,
684,987,687,573,978,189,407,856,731,949,659,359,723,005,220,938,971,417,156,
032,645,635,806,723,270,864,433,722,599,206,331,917,244,828,277,670,377,415,
621,071,451,445,808,238,300,554,269,904,382,711,993,781,964,788,155,218,853,
469,603,103,586,716,853,603,953,158,213,363,773,185,152,254,036,299,012,867,
842,275,737,447,698,470,672,719,791,828,377,440,721,733,189,356,203,286,725,
933,618,353,278,059,533,063,658,879,885,595,301,749,500,644,926,038,564,427,
336,490,088,045,493,496,167,538,283,035,625,308,030,320,027,711,797,762,121,
208,470,751,254,604,373,548,551,817,334,765,144,824,933,427,210,310,016,458,
618,515,690,115,207,269,622,388,950,877,079,105,521,863,783,485,845,432,814,
578,607,580,101,297,214,687,746,902,099,984,339,117,450,819,196,838,890,351,
403,309,490,079,502,291,488,037,110,459,621,592,931,456,287,314,466,624,271,
797,730,513,110,319,080,879,681,065,184,922,437,734,362,732,266,068,784,131,
848,500,145,286,518,651,253,608,674,008,381,881,111,048,206,878,732,470,192,
589,885,493,520,707,765,862,898,290,239,380,363,722,770,353,874,254,081,708,
673,360,753,604,763,120,821,493,722,040,729,338,487,762,372,119,828,984,088,
562,387,367,548,022,600,174,604,010,084,212,789,775,633,673,976,659,731,783,
967,875,370,466,458,275,915,583,205,112,849,632,499,593,335,211,189,958,264,
891,787,117,944,773,730,522,816,374,659,218,970,159,445,330,718,936,362,563,
675,028,340,525,187,728,484,273,846,802,537,998,834,438,208,701,807,996,235,
458,227,378,463,319,571,593,619,115,296,141,558,070,365,679,863,474,664,380,
563,278,854,493,810,979,651,763,182,898,325,501,869,183,451,874,923,355,905,
998,413,648,707,718,223,712,209,517,693,150,631,040,520,459,715,454,893,276,
446,755,206,832,260,103,047,280,054,919,138,595,892,373,430,037,559,910,805,
943,086,395,663,603,570,508,891,017,802,065,225,492,374,760,885,005,685,088,
336,897,733,758,473,349,790,766,899,008,813,322,557,097,806,904,053,111,035,
133,638,094,323,362,594,469,607,217,181,278,442,432,794,206,513,495,999,268,
003,364,505,006,164,482,676,614,662,066,951,582,300,052,305,859,600,415,109,
338,424,372,127,967,585,628,938,645,470,547,199,877,313,593,096,457,035,130,
792,847,470,092,445,391,127,810,442,858,632,288,675,408,511,911,512,948,227,
571,418,600,921,187,452,680,671,952,226,550,483,103,612,010,936,874,215,506,
942,549,719,264,829,783,661,587,605,797,781,876,510,542,457,809,947,345,394,
382,170,012,592,930,551,085,273,119,526,628,919,854,249,643,115,789,887,239,
599,011,581,378,000,775,541,240,320,401,699,555,671,732,582,455,327,893,480,
903,812,286,755,315,038,179,539,475,227,889,628,440,547,933,480,191,783,374,
024,218,298,541,392,254,568,991,317,031,363,105,934,140,284,253,649,869,923,
487,912,135,509,040,594,501,847,586,264,835,780,229,595,203,679,196,647,306,
144,183,342,503,631,273,868,812,947,582,507,645,352,934,979,181,654,000,133,
648,393,362,149,032,719,951,247,218,939,817,033,625,230,690,998,097,863,668,
426,050,961,304,209,830,790,952,717,659,845,994,345,501,584,803,260,983,201,
676,715,210,945,560,038,915,621,605,436,024,877,831,716,317,537,823,894,780,
812,956,094,469,622,868,641,610,702,227,859,804,996,118,468,245,300,518,028,
121,202,877,500,721,105,618,377,069,354,509,385,930,523,158,361,334,962,939,
473,858,011,872,147,804,924,880,104,514,943,502,073,091,730,030,737,411,282,
430,667,135,009,762,221,492,179,227,517,808,794,679,024,524,962,253,963,458,
001,805,852,000,961,950,991,799,569,329,094,885,893,836,466,301,183,580,101,
449,984,349,212,958,633,032,569,274,982,757,605,213,519,012,235,800,204,952,
894,120,862,831,671,600,455,743,417,581,617,042,531,873,241,470,089,129,855,
431,240,629,097,727,159,525,684,192,685,437,985,089,103,835,269,711,650,785,
269,004,292,029,426,742,361,754,615,280,340,433,486,583,496,252,347,944,043,
564,529,535,682,650,080,501,699,883,631,562,104,514,835,636,590,502,920,275,
292,111,371,067,962,933,432,149,834,462,061,156,915,351,156,380,806,894,951,
274,892,130,054,431,705,799,669,133,695,766,770,838,190,608,374,079,978,874,
361,516,020,713,334,670,508,363,349,317,378,444,647,947,229,357,812,307,490,
348,898,760,891,971,482,720,033,768,769,593,217,516,873,202,136,605,571,328,
668,786,850,742,660,605,263,738,934,293,508,692,995,594,277,198,840,264,640,
234,513,673,797,824,142,318,938,281,227,504,752,194,873,878,974,137,004,269,
690,959,423,751,012,365,114,354,696,467,528,471,644,726,087,873,799,538,283,
263,102,313,847,942,496,919,091,871,874,840,230,848,268,448,909,010,684,456,
296,630,018,929,129,622,609,888,804,150,871,501,020,063,043,592,963,312,186,
273,310,928,855,268,679,182,469,380,597,724,874,096,093,723,414,148,477,459,
145,230,103,573,898,879,997,731,974,632,142,194,455,035,425,307,342,625,037,
535,026,605,381,389,755,693,292,317,385,201,306,508,728,968,094,158,182,799,
974,998,720,143,951,114,089,570,083,355,551,190,419,435,002,813,436,230,420,
078,671,801,100,334,201,222,330,646,384,405,183,246,062,081,927,330,641,790,
598,110,395,615,104,244,953,566,320,176,462,252,945,682,014,851,229,573,580,
190,061,125,485,930,863,415,807,967,141,966,154,326,827,854,994,225,302,472,
877,725,790,462,600,249,097,509,902,971,806,818,297,533,720,915,572,629,773,
777,034,848,350,812,613,220,092,244,002,377,194,186,527,175,345,223,128,796,
536,665,069,380,837,590,029,698,462,332,832,191,750,420,090,587,851,484,805,
296,322,749,649,366,716,687,378,182,826,215,556,633,690,710,074,251,557,100,
507,825,494,158,860,200,188,913,073,293,719,651,876,805,977,587,405,352,357,
391,002,525,612,898,488,183,168,093,197,885,811,839,483,293,193,892,239,550,
287,869,651,700,052,211,107,269,521,502,963,777,535,335,563,104,984,450,908,
619,471,875,607,037,701,719,409,422,114,346,338,414,751,740,208,200,888,661,
269,367,250,678,778,014,664,353,650,471,358,186,469,741,985,909,913,132,035,
989,453,221,183,516,780,252,278,390,471,250,798,328,895,233,225,951,066,532,
710,841,641,933,984,472,010,154,567,487,354,182,475,950,684,119,158,099,551,
776,480,703,040,492,297,277,813,374,949,584,551,640,987,810,050,289,832,482,
937,137,619,440,628,082,220,584,990,344,201,386,832,601,530,889,394,143,935,
242,976,851,399,518,762,378,817,245,230,295,683,145,443,356,348,969,724,074,
512,958,102,142,203,682,653,515,067,024,935,527,854,213,176,372,345,381,672,
878,311,500,285,503,797,742,446,938,081,760,568,344,881,803,619,196,749,747,
793,336,393,959,810,232,170,441,164,735,170,221,005,778,561,214,473,785,082,
428,853,709,233,549,242,510,851,117,495,247,436,140,786,615,477,409,040,235,
289,572,225,721,159,386,488,490,165,588,953,225,533,269,193,968,213,266,110,
866,299,151,724,666,979,710,557,487,477,054,566,540,216,692,339,444,808,170,
542,011,519,465,527,604,649,647,434,576,493,956,542,058,494,426,159,233,971,
329,328,627,911,931,919,015,268,203,985,635,359,985,811,661,952,961,304,905,
188,933,280,889,593,190,273,994,368,562,856,875,039,068,201,059,086,822,115,
931,358,163,932,006,221,849,812,293,196,530,090,154,213,555,768,573,947,666,
784,044,078,082,020,565,711,541,773,937,971,982,462,976,261,995,684,982,080,
904,957,761,254,358,135,595,117,816,984,251,844,558,106,837,529,957,162,132,
304,708,574,607,129,304,651,817,073,817,757,316,102,424,665,411,605,084,894,
003,046,867,895,918,150,041,128,334,034,651,500,361,511,356,323,829,732,748,
383,554,243,010,818,886,256,970,631,286,520,406,858,068,799,304,520,859,505,
671,250,061,600,007,054,569,061,402,921,913,687,900,954,733,116,291,992,074,
493,369,527,945,827,121,585,070,947,600,951,812,048,808,864,684,735,873,018,
826,338,579,278,555,549,706,585,234,462,489,272,095,095,323,766,345,016,392,
466,765,724,594,588,953,550,885,036,214,355,864,423,292,191,234,687,653,699,
969,613,613,928,838,377,884,567,879,219,072,292,157,304,810,023,905,334,324,
378,154,999,554,088,322,061,554,706,675,022,037,222,329,416,265,433,462,141,
029,650,169,821,692,005,343,595,381,396,634,685,881,696,391,998,485,589,770,
066,121,938,778,494,789,974,455,415,564,084,749,919,231,153,061,135,077,612,
618,209,264,540,859,263,939,847,165,962,235,066,847,528,500,241,646,777,564,
101,641,571,453,135,699,507,553,896,740,108,634,887,376,668,930,805,697,687,
665,795,927,460,297,020,782,383,333,585,448,760,501,544,685,517,019,547,128,
081,848,232,778,169,768,266,803,421,331,453,697,824,133,090,611,642,693,791,
051,132,769,017,516,660,411,666,326,982,232,643,751,708,518,628,423,259,261,
682,315,720,807,457,475,585,000,823,260,117,426,210,011,127,972,063,958,143,
012,809,312,762,301,768,030,217,533,859,324,611,166,458,880,819,392,320,576,
600,090,836,276,561,001,823,831,731,660,112,313,241,904,402,564,893,698,843,
366,614,042,554,387,780,787,787,781,220,070,001,983,728,215,416,289,322,111,
762,646,735,818,274,529,876,537,679,749,220,761,702,901,521,519,215,788,199,
035,580,740,237,574,786,181,107,198,447,467,381,321,630,442,924,589,597,209,
386,109,733,435,690,378,487,378,335,538,556,933,907,316,846,337,887,187,138,
230,608,707,044,225,420,082,010,477,101,505,504,530,483,585,440,732,814,161,
337,129,607,860,268,568,707,651,464,865,141,959,902,866,019,341,147,012,596,
874,503,875,105,361,101,461,812,471,173,093,793,180,540,304,810,185,468,452,
962,615,563,310,371,618,726,955,701,445,831,361,232,257,677,049,617,130,915,
171,911,912,489,625,686,081,808,465,559,329,771,645,822,334,120,804,080,664,
309,378,471,944,027,052,922,686,872,536,472,976,696,434,883,627,551,071,374,
671,594,774,265,831,966,342,889,135,364,268,757,227,948,448,067,985,835,114,
290,674,567,640,052,797,257,893,707,214,145,077,347,193,133,727,064,013,696,
107,002,015,960,026,320,787,630,595,936,170,226,221,340,889,141,124,103,650,
244,458,487,880,995,112,262,794,955,707,084,774,463,119,231,785,281,939,712,
954,974,132,277,356,671,616,800,751,223,083,918,444,670,994,950,301,143,976,
218,213,341,807,112,745,587,397,677,317,384,001,369,718,641,008,827,543,551,
827,157,999,751,643,234,418,251,669,703,613,145,442,747,171,847,308,822,207,
344,070,227,211,346,993,390,884,353,001,044,021,367,147,984,704,158,162,410,
696,525,244,628,501,650,949,603,678,464,023,145,272,533,475,467,214,689,885,
833,756,873,145,757,576,295,983,768,037,972,768,402,258,096,762,023,220,076,
024,329,204,796,411,128,415,617,628,084,114,624,914,562,961,521,295,913,251,
362,880,721,598,543,947,998,380,531,655,451,939,437,599,534,196,653,025,369,
831,166,683,863,223,945,603,884,595,998,168,343,251,115,187,097,380,110,358,
813,301,783,556,174,247,161,237,199,325,246,362,932,657,397,016,485,918,199,
176,902,312,030,827,396,659,535,995,576,467,205,191,260,619,573,982,828,114,
119,157,053,901,598,234,348,417,985,118,182,677,557,393,288,281,429,375,961,
521,674,530,972,511,839,004,514,300,397,695,559,442,803,863,139,157,182,540,
509,645,299,275,198,708,264,308,573,069,167,893,113,005,069,693,842,289,724,
001,765,460,276,704,342,766,226,687,771,149,253,671,849,669,458,337,088,921,
286,291,735,604,974,565,417,954,347,323,500,338,892,151,327,099,695,336,065,
046,923,242,693,861,002,645,375,066,721,404,358,374,439,366,498,495,872,582,
633,385,026,445,214,236,144,001,409,296,825,266,362,381,094,107,689,758,310,
004,413,713,691,364,184,682,536,083,030,722,120,980,029,572,042,399,036,514,
210,517,938,548,317,768,438,086,350,596,368,991,225,398,180,158,043,305,099,
953,967,059,481,554,758,987,894,027,296,363,601,261,792,875,794,945,001,392,
413,066,533,765,575,581,339,787,579,827,542,866,174,515,649,562,793,798,307,
002,542,491,033,936,589,717,836,724,973,600,526,950,970,212,163,827,446,129,
571,239,082,170,763,347,587,672,815,341,826,306,656,780,832,915,231,007,034,
387,192,984,885,338,768,537,434,954,241,913,152,485,616,753,180,728,388,600,
664,049,245,804,444,599,794,845,999,823,915,887,064,301,407,847,577,182,127,
793,937,836,315,533,418,592,294,909,070,793,789,272,055,521,088,128,854,048,
981,327,516,104,645,423,143,641,107,214,863,988,586,268,021,852,058,177,611,
349,237,198,739,526,587,042,722,474,720,226,943,395,373,892,684,623,002,605,
501,934,115,388,185,458,554,112,265,712,312,281,956,934,271,015,458,482,552,
000,567,176,595,956,061,553,542,778,603,967,312,936,405,197,573,192,978,241,
600,532,158,568,976,785,444,883,291,666,251,206,209,745,874,823,447,309,210,
767,959,420,176,456,075,390,218,453,034,178,122,994,482,085,192,503,435,965,
474,508,717,670,525,391,303,329,455,562,743,109,441,807,328,421,561,745,403,
856,354,188,433,459,118,409,184,635,705,998,333,410,868,426,736,294,261,164,
480,291,251,602,116,601,263,455,709,337,751,704,796,255,529,662,725,956,089,
220,882,350,724,429,100,975,033,162,390,347,228,805,266,271,313,090,007,688,
052,372,780,280,595,218,590,107,257,984,482,155,540,903,436,889,712,690,544,
708,137,117,922,561,204,639,373,712,927,111,653,063,906,456,063,584,904,638,
643,537,093,581,324,610,073,015,173,797,711,800,833,913,653,149,534,638,962,
069,111,838,737,141,278,295,244,923,788,398,031,721,523,681,047,965,179,553,
292,316,256,737,332,586,643,528,557,940,980,888,324,968,981,538,580,744,658,
896,304,471,273,242,417,635,259,602,240,543,802,944,850,285,055,325,034,430,
483,667,599,768,531,775,902,444,609,928,718,883,314,530,412,003,606,450,556,
707,875,427,128,632,151,259,648,584,567,907,556,562,877,158,404,065,628,375,
394,641,156,118,536,705,528,300,722,996,502,040,875,166,982,815,548,443,268,
333,758,344,838,931,294,864,476,532,604,134,297,245,456,464,535,501,687,627,
031,399,736,727,513,288,682,095,724,189,885,974,310,147,446,525,949,256,137,
943,531,844,776,626,959,416,147,347,121,848,975,694,777,727,322,235,368,041,
663,449,348,220,698,553,037,856,291,755,622,926,658,467,566,734,888,748,277,
773,826,737,350,709,913,913,520,074,992,160,758,093,142,583,443,836,059,036,
768,803,999,780,157,610,786,100,845,574,312,906,889,804,852,464,854,055,800,
023,251,706,052,874,285,661,481,907,579,568,080,801,371,947,362,370,178,782,
806,617,639,584,395,855,133,930,979,675,762,383,279,063,159,768,672,370,873,
911,581,546,374,917,654,615,620,875,185,041,712,651,455,538,894,227,835,434,
485,032,723,347,659,304,369,840,626,587,553,749,231,062,854,972,790,951,781,
632,009,841,437,732,467,494,135,668,688,197,993,187,991,291,756,484,098,756,
532,214,408,681,534,263,791,605,196,255,628,042,303,039,013,121,310,167,672,
962,342,048,817,746,217,768,323,297,102,612,120,072,835,340,111,398,376,078,
092,007,827,387,929,767,323,294,451,820,145,775,784,688,649,206,206,167,712,
880,839,635,196,646,006,285,126,072,786,328,512,900,860,191,700,273,398,299,
093,601,461,690,815,262,823,669,216,674,940,346,059,318,447,960,150,276,524,
658,241,967,276,774,221,223,355,016,552,496,222,845,430,982,421,956,083,458,
433,506,562,922,623,199,516,029,424,713,929,909,303,096,284,357,041,246,544,
791,511,811,656,006,031,180,345,367,821,571,164,709,956,698,256,800,844,232,
745,248,841,558,520,993,161,865,962,303,505,407,472,703,775,750,361,701,616,
062,337,197,012,239,582,369,693,693,603,279,894,750,530,395,944,528,408,572,
617,243,277,539,547,843,662,887,416,144,963,512,537,473,359,633,528,473,099,
873,697,371,962,312,356,166,396,583,496,896,064,200,406,194,759,013,956,410,
169,485,845,073,163,500,329,475,731,684,896,985,065,523,128,150,052,906,123,
902,147,558,128,178,424,246,364,850,061,824,377,732,053,385,027,843,346,806,
488,701,093,425,750,629,287,488,814,636,734,571,947,922,627,560,133,691,075,
073,600,825,465,841,364,818,028,960,028,363,933,194,889,028,619,478,096,208,
720,147,399,961,548,580,161,822,577,939,684,818,661,743,726,613,226,075,067,
548,403,489,360,765,481,964,417,621,760,872,672,987,901,286,514,282,863,406,
670,793,904,728,361,162,603,014,493,750,783,708,984,933,788,710,872,659,144,
243,301,469,806,894,116,227,443,652,171,030,705,453,862,851,622,805,166,584,
198,519,841,289,155,578,552,027,524,290,527,365,847,289,345,295,481,195,749,
581,640,450,178,009,753,941,413,360,840,714,115,743,214,141,270,868,899,568,
852,762,775,655,733,727,745,369,240,737,723,202,777,034,363,782,104,027,554,
541,858,795,357,096,594,954,513,397,288,226,008,268,359,568,042,269,221,285,
534,966,963,250,807,164,857,163,523,953,887,249,754,413,181,355,885,793,238,
162,730,543,123,674,516,768,983,098,534,191,581,564,440,855,824,740,335,680,
471,460,716,336,452,891,791,659,948,892,980,074,535,104,830,299,843,213,870,
609,268,941,694,991,705,709,463,226,513,800,995,430,519,524,251,401,885,119,
202,822,518,505,270,562,631,045,020,926,518,918,790,399,384,809,072,755,109,
546,680,229,997,463,359,947,031,598,608,071,125,694,111,556,334,360,428,321,
507,739,133,468,168,194,626,931,773,307,628,454,896,587,437,965,447,255,907,
741,728,514,522,471,426,042,368,323,684,401,252,522,367,000,258,085,274,407,
037,695,673,116,063,352,426,351,718,700,513,068,163,891,090,998,177,593,344,
600,205,735,342,571,211,816,874,523,298,162,697,005,690,247,943,135,637,458,
596,443,879,236,439,951,503,821,641,964,462,356,874,442,881,129,681,701,065,
601,477,620,779,105,978,353,833,683,471,962,379,089,229,810,654,267,312,060,
938,375,008,266,527,267,953,757,347,503,201,036,064,557,816,214,182,360,112,
485,407,494,980,440,213,111,854,197,942,906,569,721,369,298,201,469,018,511,
740,283,011,546,290,788,589,642,769,116,766,233,587,766,842,560,819,462,245,
256,640,680,171,291,009,191,210,901,110,606,976,739,078,771,735,811,635,137,
476,949,114,204,424,057,873,372,230,389,829,577,515,803,714,467,418,644,396,
342,038,565,558,425,214,196,054,610,700,014,420,899,702,270,667,193,497,661,
345,954,745,475,656,406,136,050,984,720,823,189,342,908,390,918,814,548,235,
429,540,544,885,200,990,169,975,635,970,682,763,802,858,992,424,804,518,423,
139,770,126,593,453,280,593,017,833,911,987,706,533,665,708,044,543,508,026,
872,793,736,388,601,769,895,372,261,893,146,884,817,514,113,918,727,430,138,
044,325,117,262,807,512,628,308,497,236,268,528,572,977,634,725,235,717,356,
322,803,894,764,910,158,036,077,538,892,987,110,449,194,773,627,564,139,348,
284,609,540,182,488,076,774,303,276,855,828,554,856,586,768,735,608,843,922,
896,314,759,771,295,128,807,821,666,797,724,178,186,014,544,402,475,485,776,
046,566,093,612,187,198,014,334,424,980,468,199,824,006,882,293,857,804,389,
446,195,998,307,228,792,046,200,476,978,867,499,286,624,213,607,183,640,793,
562,705,214,854,857,549,117,856,545,274,837,296,232,738,616,124,739,157,989,
734,223,457,238,338,844,693,147,972,322,149,073,439,880,852,453,021,305,324,
265,174,796,182,639,113,568,244,086,515,940,666,491,567,096,177,137,167,654,
522,842,531,160,833,528,694,984,853,473,149,992,599,598,659,788,063,025,117,
085,907,209,472,512,061,375,781,877,524,793,889,726,330,617,856,627,562,528,
961,140,477,333,765,475,697,885,464,160,140,623,579,812,991,605,627,859,850,
465,561,654,954,442,637,858,813,012,080,374,885,870,165,972,220,680,356,229,
620,468,801,486,520,533,988,494,344,339,368,836,334,543,313,189,423,468,837,
104,502,120,312,789,888,244,768,288,888,185,749,152,383,917,055,356,148,424,
230,463,624,256,462,290,441,290,766,400,204,138,762,752,786,186,935,261,389,
984,859,883,258,466,025,372,735,893,988,406,173,332,068,453,925,600,943,166,
544,819,396,137,507,232,663,718,528,343,699,754,857,615,924,994,248,924,011,
998,232,293,154,593,933,857,381,716,269,966,089,691,024,878,676,542,915,073,
237,853,739,019,179,554,397,721,595,549,581,891,645,981,417,309,677,058,944,
077,076,939,613,803,532,237,121,073,778,627,568,945,519,962,892,983,626,176,
430,849,168,299,980,035,024,490,331,721,728,026,035,901,792,921,089,134,674,
213,338,315,976,405,076,904,491,984,980,389,775,276,385,453,917,512,512,655,
887,241,282,009,514,619,296,756,022,703,726,771,551,207,203,505,153,802,813,
938,438,877,640,157,935,116,800,863,065,194,290,322,981,740,758,449,405,495,
433,380,707,118,902,282,078,958,763,495,891,152,828,712,183,819,872,749,264,
735,086,817,531,062,038,341,533,251,865,246,227,519,062,756,865,912,816,172,
189,447,712,244,087,420,167,413,747,959,240,731,190,731,910,242,107,410,397,
034,298,092,537,856,514,461,528,090,664,251,995,437,469,662,636,876,111,145,
883,009,177,428,503,808,750,266,451,965,078,597,067,315,977,600,224,471,557,
121,579,352,418,531,726,861,914,117,851,223,893,722,347,272,614,558,757,707,
355,973,516,096,383,354,859,336,447,645,008,952,418,101,872,070,494,682,681,
720,608,381,448,013,055,953,955,477,388,131,405,913,138,265,700,560,525,440,
097,549,325,697,666,761,857,430,845,742,375,627,413,813,409,959,174,204,220,
211,866,669,516,599,007,208,475,017,962,901,355,823,726,882,121,622,647,271,
747,745,798,884,714,695,050,809,149,476,831,503,135,656,328,973,867,010,075,
317,306,961,883,166,956,030,769,739,562,786,140,540,680,178,984,034,126,862,
847,973,921,800,820,795,745,061,808,821,083,992,398,334,894,186,858,293,830,
110,505,371,192,874,619,285,538,837,836,717,017,436,930,497,243,836,729,217,
204,160,765,651,418,923,434,941,616,636,448,521,196,134,116,903,080,876,107,
260,544,798,063,241,412,915,768,589,584,956,670,769,807,548,912,951,098,687,
616,649,211,546,649,654,023,213,211,931,732,097,778,850,752,113,792,652,328,
828,532,513,045,861,967,997,239,287,670,954,376,330,676,925,973,693,747,550,
331,923,932,391,410,714,624,553,165,065,654,143,466,176,125,194,594,263,212,
806,309,347,690,676,664,175,820,816,485,420,709,446,818,776,657,243,857,437,
021,920,347,957,989,942,955,891,164,547,803,523,543,726,538,432,788,840,958,
941,341,495,206,388,172,460,852,357,111,158,998,437,599,862,656,177,599,622,
232,960,884,506,562,332,701,770,585,675,149,067,737,112,212,851,072,564,875,
627,062,079,726,213,101,760,786,175,948,590,246,102,269,731,524,902,113,822,
224,293,483,660,543,984,221,358,664,817,456,490,184,860,358,669,387,549,800,
268,614,192,642,757,959,528,449,846,446,623,811,578,091,091,856,789,384,174,
373,528,152,399,731,000,866,599,762,703,204,230,147,828,016,963,407,367,922,
564,787,587,571,385,536,241,394,262,914,944,041,190,566,840,525,296,497,052,
187,905,758,726,284,830,667,324,279,899,281,960,166,887,840,652,121,851,257,
270,699,538,075,576,320,202,463,656,357,810,529,072,185,839,747,563,739,341,
275,948,427,909,580,404,337,810,789,404,853,677,885,411,246,916,672,216,212,
485,910,947,961,798,427,932,718,653,984,630,164,102,790,051,180,488,411,210,
883,205,022,798,622,570,969,901,599,910,268,752,491,313,211,510,051,321,493,
147,882,462,689,309,514,384,169,655,556,018,330,328,994,527,213,745,873,923,
865,717,686,874,171,686,668,995,987,745,652,419,549,106,104,427,324,211,876,
560,543,030,286,231,742,211,018,952,090,659,177,439,654,116,049,097,274,727,
110,576,963,270,845,717,705,562,812,821,846,943,226,913,650,036,305,394,518,
843,828,535,576,071,891,123,640,409,649,115,056,502,553,744,318,914,417,831,
063,706,474,621,653,121,075,406,745,387,822,817,369,177,442,740,905,144,059,
413,175,155,683,612,199,352,931,513,383,362,993,494,859,962,643,999,928,992,
116,412,682,880,912,010,441,149,662,818,354,972,362,290,945,072,982,395,318,
804,308,734,280,204,205,294,811,097,766,940,693,571,615,370,882,768,559,403,
244,414,693,504,831,232,553,304,119,541,336,399,309,130,262,392,473,898,777,
226,905,325,926,236,533,815,973,051,257,321,748,997,085,265,566,153,265,998,
702,479,357,464,464,788,783,866,220,846,244,079,971,856,790,927,800,625,848,
241,222,338,163,025,062,355,438,309,734,518,315,517,873,186,291,260,474,409,
029,449,999,905,850,617,802,807,147,723,787,941,321,563,229,498,373,591,127,
135,117,607,325,038,277,316,967,463,390,361,167,143,657,486,314,958,536,582,
338,043,727,220,661,939,593,481,296,301,514,331,533,228,766,052,224,027,336,
336,763,791,141,265,457,307,613,362,081,256,147,068,808,037,264,094,816,545,
587,346,602,463,810,553,673,906,630,412,927,380,761,632,575,117,004,556,841,
535,884,741,136,964,058,380,972,450,176,114,923,592,969,905,589,936,602,889,
419,301,260,097,951,326,191,574,792,117,940,299,907,568,484,217,478,305,706,
922,609,662,323,600,320,058,019,906,047,197,580,530,879,575,326,114,243,506,
863,089,345,868,955,409,247,256,371,185,889,956,104,236,145,613,767,667,269,
433,337,346,012,470,768,746,847,114,137,346,550,094,039,516,763,528,803,200,
173,101,107,928,706,239,012,683,534,068,765,457,949,180,407,573,502,940,324,
377,770,057,099,748,773,853,408,947,565,611,137,464,497,841,101,010,997,290,
623,455,833,454,517,276,458,261,510,253,512,168,067,548,514,837,288,467,173,
329,497,581,656,078,688,615,317,671,382,231,801,808,356,485,734,008,486,560,
336,401,343,416,219,970,518,880,201,184,313,990,142,882,032,515,818,705,585,
698,460,364,630,485,090,717,298,640,225,216,136,003,474,152,287,334,311,857,
797,942,829,830,649,935,680,321,809,603,720,508,601,738,853,113,054,357,972,
978,526,805,811,838,367,193,026,357,422,197,683,818,596,339,412,686,194,531,
268,237,583,593,845,401,207,267,126,095,107,051,946,612,685,399,735,041,053,
577,423,517,863,147,603,436,832,497,418,826,834,892,153,440,227,889,158,356,
146,131,120,715,488,411,718,622,873,937,981,598,743,487,807,923,613,414,216,
812,943,378,509,252,547,263,007,232,934,065,092,486,860,628,864,622,443,555,
807,101,592,213,312,574,632,522,822,839,970,087,378,435,743,084,625,585,536,
215,412,664,166,868,039,724,380,843,366,008,940,527,190,160,382,485,878,319,
119,647,302,822,440,876,212,529,982,883,159,274,220,594,639,906,090,831,015,
245,206,737,844,144,828,024,338,176,494,020,367,776,790,746,791,457,296,334,
684,809,128,717,912,729,441,635,991,052,952,136,159,433,768,990,935,290,732,
016,095,692,323,462,625,486,203,641,431,009,319,561,923,757,920,757,681,105,
193,319,508,918,239,390,710,049,773,362,942,775,698,966,526,776,736,214,896,
725,948,037,042,365,330,767,689,612,859,381,657,557,724,397,181,319,276,292,
388,124,833,432,956,017,022,257,743,351,146,457,859,416,114,185,415,980,311,
970,777,869,656,810,850,620,794,976,177,110,254,267,017,213,636,941,388,883,
516,340,197,612,016,237,642,650,976,846,393,270,630,547,761,723,960,546,161,
906,877,120,873,683,617,491,209,196,112,599,217,981,028,699,755,960,120,417,
208,685,914,805,490,865,802,246,627,909,696,427,212,414,476,401,475,240,248,
440,971,948,628,900,947,190,167,572,249,536,889,880,067,676,433,471,688,110,
267,507,935,701,436,973,934,311,511,936,865,898,559,258,672,844,708,767,921,
152,556,397,929,791,515,350,546,288,071,367,016,015,652,647,918,874,288,240,
390,703,343,255,135,858,727,894,404,438,039,078,570,699,876,026,003,671,083,
155,888,757,346,154,238,019,958,058,777,816,943,199,043,980,475,330,346,836,
966,242,884,070,652,270,271,226,444,444,614,265,220,322,218,670,016,630,703,
748,294,528,798,707,706,648,207,590,266,828,243,641,371,472,361,746,361,900,
444,680,348,089,382,831,341,550,074,873,916,908,717,780,875,683,126,250,868,
465,818,172,286,922,259,176,395,315,367,612,637,578,552,660,009,727,446,731,
414,704,670,104,833,603,972,992,138,765,815,639,257,785,019,851,597,546,353,
143,510,563,000,741,895,677,144,552,146,530,550,340,636,187,945,825,099,197,
956,910,804,532,613,216,077,277,767,304,631,239,732,284,900,189,774,722,016,
249,676,315,278,404,351,995,929,319,825,600,642,180,626,294,008,374,033,579,
575,360,788,392,652,867,146,210,889,274,153,421,528,674,984,895,749,589,527,
840,139,387,750,329,533,212,912,166,937,545,858,883,922,426,541,320,787,966,
384,702,485,979,728,126,788,901,161,656,770,400,055,097,268,838,316,450,534,
698,378,548,556,831,423,751,000,798,483,519,133,567,905,473,284,215,575,470,
601,154,924,040,801,909,841,804,912,477,404,612,200,606,568,277,372,011,501,
091,769,042,821,139,005,979,647,095,198,246,422,808,003,500,220,012,432,774,
778,200,077,745,850,153,514,847,186,506,106,589,002,925,744,712,411,410,817,
176,154,902,838,770,339,950,913,906,421,053,473,725,537,634,593,179,588,097,
179,186,554,054,934,792,347,439,190,447,058,029,581,140,132,333,318,199,841,
339,688,256,025,407,886,786,983,818,439,693,097,206,061,010,424,006,452,125,
609,797,045,640,416,039,381,459,782,417,278,010,430,128,254,038,036,087,011,
251,626,082,247,526,353,377,613,029,605,715,555,149,018,531,283,889,095,451,
453,997,664,579,940,690,697,281,351,948,091,567,110,447,733,493,679,329,603,
250,923,360,649,077,968,846,991,418,872,100,507,786,108,660,599,107,439,891,
899,414,988,040,473,871,902,529,762,984,090,332,218,200,649,247,194,278,239,
948,307,075,121,715,384,036,008,564,477,610,166,089,031,199,343,512,686,940,
106,092,841,668,925,868,079,550,336,980,792,647,084,835,775,828,917,035,191,
882,273,183,425,346,403,874,683,682,544,972,545,171,602,190,519,043,380,729,
603,395,884,086,479,889,257,813,801,637,148,535,255,805,486,260,937,391,792,
952,292,841,037,671,388,912,716,504,053,744,353,573,227,017,743,679,582,447,
424,599,887,666,528,834,060,569,393,141,523,145,528,189,547,543,396,479,519,
890,345,194,782,741,211,268,559,266,442,475,045,823,155,336,821,113,845,590,
271,483,391,452,885,860,036,695,031,917,386,276,761,807,595,977,583,216,610,
537,249,637,092,718,958,353,368,817,962,510,732,874,062,783,334,711,659,606,
600,009,024,303,678,030,802,693,945,537,732,649,863,616,795,297,998,588,578,
373,742,723,402,367,996,406,049,166,820,584,910,118,673,285,716,835,174,543,
017,918,581,459,122,551,726,560,304,040,406,810,181,774,259,446,771,628,796,
542,869,883,592,917,399,883,240,122,566,081,024,121,705,747,538,106,539,527,
809,332,045,226,951,418,526,941,554,567,346,477,758,418,780,291,338,046,054,
952,801,367,690,343,134,945,019,329,747,796,623,526,368,677,734,760,018,069,
468,878,639,315,986,202,538,279,579,330,531,425,692,228,436,825,957,054,726,
447,896,686,427,088,394,783,084,213,827,205,198,691,238,731,213,817,700,733,
796,990,033,388,091,783,426,072,757,531,551,276,533,011,526,250,589,749,139,
320,558,053,454,633,304,241,155,093,971,759,208,889,296,485,522,479,940,282,
797,208,280,101,047,362,774,836,029,375,935,892,343,538,129,214,342,173,148,
883,409,096,693,636,525,550,160,883,268,372,310,719,620,136,883,508,503,968,
818,783,395,310,627,839,394,620,861,420,933,309,805,537,197,275,723,562,430,
631,208,267,091,569,225,695,494,104,073,320,328,187,327,271,965,580,010,803,
841,034,789,539,166,613,590,535,128,205,721,253,017,436,832,065,980,275,030,
542,098,826,570,334,313,659,805,834,191,605,478,635,887,016,238,902,431,320,
967,628,052,829,991,330,559,871,408,630,902,934,288,823,761,695,852,693,322,
558,967,768,604,419,833,438,840,750,400,538,813,113,558,017,812,658,354,765,
188,139,837,809,947,737,311,186,741,734,651,027,743,315,713,409,183,004,512,
484,449,115,138,863,501,775,265,506,144,272,063,845,315,508,410,593,572,329,
054,843,269,690,383,270,143,217,130,430,233,565,829,780,861,121,114,838,708,
881,318,836,629,778,108,903,039,933,391,946,637,906,924,103,948,361,776,325,
176,912,774,756,687,852,456,874,421,194,144,113,505,304,505,783,281,548,121,
360,631,380,100,410,387,944,566,819,787,716,542,193,142,647,008,597,954,369,
466,995,200,941,559,795,816,659,852,604,878,210,154,944,999,039,442,763,931,
856,434,059,858,639,193,709,076,482,002,034,585,212,737,033,328,833,925,412,
229,088,833,081,066,399,736,362,870,806,300,923,803,580,705,268,630,435,485,
121,435,746,184,211,085,960,424,958,558,366,651,422,076,968,776,484,205,091,
010,257,045,575,294,104,699,236,632,842,942,998,077,270,851,872,836,558,518,
473,539,795,177,268,877,123,932,693,049,685,556,418,989,343,220,781,529,432,
679,723,525,959,296,064,204,062,733,334,080,778,158,123,968,686,644,966,102,
705,288,063,234,835,365,361,931,220,263,761,375,000,695,288,137,846,271,084,
087,174,068,982,130,129,388,512,542,264,106,743,654,071,585,682,090,342,020,
263,009,135,060,943,277,371,227,626,884,665,905,299,810,934,166,248,361,863,
227,951,577,030,736,242,352,478,928,268,470,594,777,349,985,387,463,471,009,
746,586,262,393,772,623,346,943,696,425,895,626,243,813,559,807,377,416,416,
277,699,442,287,088,057,320,570,696,664,932,208,344,488,843,756,110,814,794,
568,120,106,864,705,738,836,217,659,527,584,551,121,861,794,993,978,212,809,
133,160,015,127,797,269,640,071,951,708,702,847,352,337,064,391,503,901,990,
093,071,919,975,086,191,450,886,542,329,319,691,450,315,525,241,916,199,343,
496,335,639,956,949,098,572,052,752,302,479,169,475,921,880,647,410,467,410,
450,080,171,912,817,959,990,189,148,521,916,298,978,042,504,215,238,720,238,
242,226,258,987,535,960,821,879,086,694,327,592,744,023,156,608,754,820,110,
746,155,385,573,035,576,664,971,699,572,251,987,064,257,002,724,091,380,902,
131,037,193,994,361,115,578,806,553,408,249,222,262,612,025,045,663,659,672,
220,133,018,952,150,390,727,611,077,584,275,830,206,744,384,380,088,994,242,
238,433,396,844,669,930,735,568,592,088,772,774,891,885,991,471,539,570,889,
723,110,170,701,068,828,102,591,998,541,967,318,019,055,031,728,337,132,558,
701,003,484,686,215,827,332,508,113,348,627,903,516,944,035,289,408,549,310,
382,814,180,788,500,028,474,078,698,090,272,682,855,598,244,291,075,994,135,
530,289,527,502,845,285,044,710,914,291,775,234,497,150,792,111,855,342,345,
045,340,190,794,393,892,129,915,511,523,247,344,852,747,157,316,259,599,010,
042,186,440,729,099,382,524,340,131,948,354,540,899,849,734,533,548,631,779,
971,998,119,238,026,949,750,792,381,365,579,353,974,690,456,053,451,566,847,
547,402,629,835,323,067,246,690,079,337,391,113,850,778,232,510,272,091,363,
359,795,386,497,108,501,157,472,975,489,275,559,844,706,708,300,050,655,680,
499,969,789,974,690,899,358,299,955,954,601,922,767,083,057,268,242,280,828,
427,910,953,606,012,970,117,507,556,296,389,757,983,553,076,851,588,785,301,
378,149,256,799,525,881,650,231,404,380,111,002,522,826,075,858,673,217,869,
559,903,566,928,816,865,814,902,343,498,342,306,548,863,238,131,419,189,854,
969,601,744,483,969,840,039,789,357,583,590,699,366,327,757,025,567,112,040,
176,591,863,745,701,112,989,238,623,740,909,079,990,560,099,743,797,355,281,
295,751,795,720,745,602,034,656,316,455,806,701,972,484,387,185,446,374,258,
687,428,007,991,295,805,932,283,756,138,509,355,908,457,258,500,294,159,925,
273,795,830,971,065,922,364,182,529,301,486,689,794,054,875,406,193,130,201,
600,213,503,234,376,438,666,604,397,668,201,092,696,449,822,421,625,469,358,
851,344,904,645,516,982,078,396,432,030,214,775,078,795,048,011,810,091,451,
477,158,009,938,829,270,977,734,892,815,224,695,130,465,422,022,902,488,631,
333,851,974,007,999,101,006,123,807,373,967,282,423,067,055,283,019,455,677,
552,735,350,759,342,166,812,179,974,281,526,192,694,224,805,815,903,874,913,
075,218,914,899,161,755,684,518,170,718,323,580,344,275,886,727,826,960,454,
506,543,222,183,639,154,353,921,019,428,039,797,226,474,523,803,632,405,548,
464,970,739,501,619,330,041,039,025,526,984,319,694,511,628,319,198,433,361,
748,754,252,807,088,324,877,290,294,282,725,861,329,180,101,726,162,092,584,
409,021,008,299,840,313,010,083,564,573,243,411,673,578,891,021,272,691,182,
536,336,506,076,911,288,171,377,218,614,548,721,130,360,015,470,603,513,422,
055,730,728,829,918,663,451,027,209,927,502,894,928,241,197,841,631,660,738,
273,954,492,774,890,357,258,255,752,408,059,453,167,547,769,593,627,307,800,
485,246,377,427,736,739,886,708,926,988,507,821,342,192,349,349,991,193,558,
268,031,677,776,889,100,950,004,935,359,041,472,148,412,204,313,535,647,203,
572,135,309,961,467,900,663,977,940,826,145,102,151,092,076,351,732,767,619,
880,518,616,188,837,929,341,805,823,840,639,993,934,562,345,820,290,977,557,
748,487,492,506,600,246,353,382,380,056,499,666,079,008,377,775,439,889,403,
212,627,330,424,601,983,829,613,931,750,892,167,401,882,325,264,092,869,793,
342,513,519,041,222,100,295,886,398,033,718,631,372,306,798,636,834,633,767,
442,213,935,595,238,228,263,117,516,877,477,812,367,358,973,819,284,613,156,
566,768,106,363,809,450,885,971,214,543,270,100,031,118,218,714,862,221,514,
932,193,976,989,200,196,944,473,989,313,127,895,622,925,551,902,378,690,946,
146,848,318,276,427,705,404,608,517,645,623,140,909,494,554,078,889,944,665,
586,130,948,040,352,614,244,761,002,204,622,278,745,968,338,674,254,258,898,
405,383,647,299,561,685,912,948,009,540,113,214,871,499,615,751,537,538,003,
102,515,955,912,518,760,685,369,636,993,930,862,569,426,975,578,012,588,593,
377,574,334,559,677,191,500,109,905,098,041,585,487,178,550,975,402,193,495,
448,766,548,789,852,863,399,454,680,046,099,774,852,628,370,575,666,369,662,
779,273,808,437,710,748,756,739,896,958,176,989,629,364,600,277,039,632,319,
243,568,713,396,354,450,901,124,857,721,835,184,525,060,083,096,185,329,356,
854,314,411,840,336,584,797,197,118,190,106,788,956,597,046,042,329,613,811,
706,760,393,625,083,079,541,401,090,951,991,699,099,558,328,428,197,062,985,
448,374,163,616,108,106,242,172,814,965,868,190,391,992,423,986,106,878,427,
938,779,759,853,063,959,464,570,029,098,870,031,017,639,762,078,718,506,019,
796,356,836,062,282,673,278,409,212,334,453,105,265,325,757,870,663,964,693,
892,435,131,981,297,631,042,785,877,012,414,497,586,846,445,046,325,811,847,
137,014,313,391,962,404,900,649,747,162,705,451,285,143,488,759,835,445,674,
570,478,274,470,205,008,337,685,134,163,758,970,128,060,043,285,828,686,018,
619,378,251,295,539,080,543,045,010,067,941,004,173,526,374,205,898,135,428,
406,210,524,364,529,900,651,056,964,239,212,212,539,130,986,111,203,169,207,
014,424,044,434,787,288,171,486,949,549,244,286,294,939,861,709,888,031,783,
082,002,631,954,166,527,924,993,664,793,342,141,104,012,745,777,844,083,851,
312,534,605,268,961,150,061,586,847,182,328,835,911,870,078,002,238,478,400,
366,032,784,325,452,804,680,731,716,336,818,758,626,482,208,894,128,750,214,
510,224,402,555,409,608,553,352,479,489,051,855,964,845,626,016,295,762,985,
211,260,983,529,878,679,347,424,721,197,678,618,172,994,372,791,328,023,787,
411,950,361,526,354,704,641,311,724,688,823,418,179,128,423,505,792,651,068,
404,301,222,595,453,329,712,933,726,686,242,672,852,338,580,354,514,333,357,
576,578,089,303,246,767,736,842,834,896,398,746,100,007,585,831,036,353,562,
842,086,933,780,158,784,685,691,194,765,160,600,033,101,773,021,678,428,609,
181,751,366,160,671,972,719,838,495,904,113,991,365,412,137,298,751,263,294,
326,477,251,389,022,351,314,682,454,527,862,298,761,786,691,766,813,416,280,
440,583,852,213,574,744,404,795,865,105,402,201,818,989,421,296,278,443,274,
617,006,006,889,756,294,985,274,966,016,093,633,150,244,363,415,233,937,168,
880,241,098,194,672,369,124,801,427,168,068,085,200,746,430,991,695,105,953,
747,191,707,613,500,892,952,322,482,834,485,544,862,834,539,058,163,009,570,
935,252,589,895,524,648,569,847,246,055,361,951,172,190,475,459,277,148,645,
859,030,951,945,443,110,743,443,584,531,774,935,516,444,985,458,005,334,950,
454,234,271,434,492,833,586,406,797,199,804,104,384,161,947,954,265,007,326,
720,839,899,261,311,621,155,325,076,474,246,099,528,267,768,653,233,712,260,
646,074,292,659,154,716,651,323,107,884,320,978,722,022,905,704,266,220,873,
813,196,165,347,598,876,219,209,026,234,661,054,804,743,761,703,305,286,105,
569,629,438,190,395,426,706,826,077,374,548,061,453,655,633,888,864,696,883,
505,455,407,143,135,623,782,490,648,632,856,925,019,582,862,997,510,611,307,
726,266,829,979,086,684,864,415,648,279,095,056,255,279,825,462,475,455,521,
073,206,351,440,621,899,852,816,584,508,523,001,526,821,578,392,348,760,646,
530,452,524,805,627,608,536,259,348,192,451,234,521,824,793,421,178,864,274,
882,213,035,296,498,191,715,977,134,246,382,857,853,846,448,435,572,433,302,
800,185,013,587,791,584,493,395,210,797,461,902,881,658,757,199,631,036,054,
350,311,079,234,692,811,815,056,822,789,823,261,742,306,388,471,402,441,785,
317,967,618,351,387,251,697,048,274,065,236,578,282,082,921,771,050,076,253,
666,792,415,298,880,168,110,128,364,066,743,033,675,397,364,475,792,123,602,
961,388,434,559,723,770,548,535,270,565,517,049,230,713,062,405,334,918,392,
577,776,672,835,913,481,623,856,466,528,111,372,357,849,470,611,847,060,366,
579,047,659,405,477,265,228,519,487,893,844,170,552,036,996,712,939,360,783,
994,505,298,278,347,759,258,935,659,387,267,865,938,268,735,654,987,091,838,
612,123,798,516,615,522,715,889,274,161,188,253,644,755,805,241,731,678,803,
987,048,620,473,657,345,256,435,240,367,704,771,159,497,965,602,220,155,058,
425,000,619,422,543,019,620,626,991,511,221,613,798,062,785,899,537,014,728,
791,293,227,529,914,064,421,439,613,537,566,875,992,749,028,657,750,503,294,
179,677,884,112,781,219,405,431,280,368,740,433,778,456,409,783,249,188,840,
825,445,011,176,652,427,081,806,178,922,760,754,630,071,953,563,381,053,805,
066,968,766,495,967,621,079,164,104,162,668,843,664,995,928,679,791,811,385,
451,712,004,861,421,564,211,706,394,832,143,304,524,426,235,844,988,875,670,
817,401,974,154,585,711,980,652,510,971,651,312,282,534,403,451,938,898,014,
050,418,507,318,448,538,148,879,399,555,614,940,290,681,725,144,750,847,450,
169,572,770,656,114,899,626,615,705,901,804,318,927,454,076,799,884,715,273,
909,697,979,712,663,072,637,589,606,671,844,982,438,117,839,404,172,876,256,
363,774,977,137,165,064,789,365,652,398,068,693,155,462,960,289,316,691,017,
263,339,977,548,568,513,659,433,123,530,106,381,076,117,862,588,036,324,989,
373,645,833,233,006,980,118,429,265,509,038,590,268,173,054,771,192,775,748,
744,602,814,724,947,443,105,388,784,805,767,696,130,117,035,174,706,594,324,
560,912,446,500,901,539,031,007,851,265,993,561,658,854,066,023,324,985,478,
984,092,781,120,430,771,645,649,781,414,989,862,252,218,902,295,004,138,491,
885,196,337,733,002,056,211,053,279,053,496,743,524,694,683,486,208,650,802,
708,060,277,637,495,610,345,702,216,216,445,692,739,831,841,250,670,231,995,
531,234,215,892,934,073,199,133,660,768,061,487,368,175,763,444,559,867,490,
557,353,266,602,680,968,666,981,000,738,003,125,951,369,859,874,678,149,727,
728,524,330,934,175,533,518,404,884,350,657,353,831,457,124,217,294,253,412,
513,056,278,897,396,719,992,182,121,632,282,509,794,282,550,783,036,058,447,
616,516,125,902,621,132,550,147,082,978,565,894,019,393,082,792,503,746,833,
957,642,631,050,515,098,543,557,626,425,640,159,987,850,818,915,073,338,296,
810,881,218,413,384,417,578,371,972,387,134,490,926,220,545,103,140,717,752,
558,490,789,866,156,525,236,597,998,044,211,384,899,714,976,285,166,870,280,
047,183,425,444,976,912,256,682,354,399,786,511,202,325,091,242,581,257,576,
522,103,435,469,814,503,953,254,462,509,413,478,170,947,036,072,786,246,289,
059,530,445,134,875,635,137,318,628,682,403,884,251,056,730,452,120,529,173,
253,865,445,901,219,779,252,329,258,523,458,773,514,611,944,397,448,230,892,
511,194,086,646,853,498,760,680,385,201,654,166,074,867,767,251,793,728,945,
033,563,125,566,323,007,306,644,879,136,495,233,236,798,289,922,382,069,997,
988,478,784,070,634,137,526,192,884,565,676,063,501,613,935,775,369,271,588,
054,683,429,825,031,446,706,497,078,430,129,802,451,654,968,696,413,489,722,
622,012,210,217,074,335,728,420,311,381,231,467,219,897,022,709,295,405,322,
264,272,219,067,994,408,073,442,214,336,558,838,987,357,756,527,347,748,766,
040,322,859,981,037,502,670,142,973,834,122,319,742,397,418,688,729,182,225,
368,281,092,270,465,490,548,154,503,695,981,057,539,863,455,159,998,590,138,
382,840,237,747,913,731,413,299,854,102,529,665,425,656,734,156,638,889,031,
284,896,261,719,168,546,765,065,456,036,691,424,535,301,173,983,078,734,890,
800,828,189,781,377,053,089,720,629,072,253,002,747,884,382,947,040,469,558,
003,551,044,653,182,181,540,288,375,231,100,022,527,085,395,505,231,127,870,
415,850,183,164,712,988,968,437,612,134,028,475,643,135,315,995,301,536,620,
823,383,701,304,274,556,894,677,940,286,398,809,433,048,838,025,659,253,482,
314,093,388,365,229,158,232,319,900,702,455,188,898,623,059,907,470,167,123,
385,208,545,868,003,311,131,081,432,840,551,825,981,150,583,533,317,623,902,
174,991,375,596,571,341,449,057,048,078,621,093,661,266,468,448,566,113,598,
685,126,406,218,485,740,778,211,979,826,401,456,980,646,647,351,430,456,853,
212,391,325,789,407,341,251,087,772,370,483,392,416,492,828,784,334,791,656,
148,057,741,092,109,265,361,054,983,667,321,591,522,623,127,621,988,198,683,
091,669,280,681,141,249,327,904,290,557,281,044,732,149,350,325,707,069,054,
247,489,534,828,115,822,854,752,127,465,968,348,976,053,625,218,319,636,309,
312,468,234,144,130,494,910,926,751,589,427,819,025,048,647,707,833,882,247,
173,566,730,788,409,068,100,295,671,929,223,756,286,508,187,189,753,178,906,
630,577,157,244,797,713,465,696,592,311,395,929,171,952,506,071,903,169,164,
390,789,246,988,821,842,934,182,045,880,509,972,357,545,666,775,843,756,248,
833,427,304,653,080,222,133,725,934,115,983,327,946,726,734,451,094,138,327,
681,936,682,758,084,431,435,484,285,002,033,773,646,126,197,691,067,715,362,
319,956,637,274,513,110,180,843,409,154,316,226,135,901,726,562,534,398,113,
688,887,144,928,448,261,682,455,708,313,776,545,012,328,628,531,024,155,076,
303,561,442,954,460,198,307,376,224,050,661,932,758,959,672,574,640,485,882,
993,219,692,319,383,013,039,216,192,975,204,812,146,131,807,663,072,239,155,
371,152,211,709,221,774,348,003,957,694,508,091,160,774,444,222,794,746,791,
655,569,785,789,713,885,633,397,283,909,638,146,527,194,925,342,579,181,050,
957,999,909,774,294,315,049,169,922,925,434,790,651,849,322,658,813,366,364,
429,461,182,850,481,496,471,012,050,271,697,256,357,551,286,077,574,418,637,
435,246,554,376,100,080,909,223,928,226,515,274,279,444,680,013,430,976,841,
525,814,677,710,822,039,725,654,324,823,266,909,581,168,930,509,101,906,702,
310,194,297,899,736,893,286,179,722,470,913,979,936,630,040,293,036,500,926,
049,567,776,804,326,006,077,575,614,980,324,170,299,478,986,200,246,620,130,
427,588,029,058,534,359,822,962,364,076,087,585,779,306,324,528,816,462,617,
520,377,920,691,677,003,827,816,281,195,820,768,865,041,392,396,779,411,697,
191,486,973,451,108,309,483,157,375,545,120,972,997,238,156,592,424,588,205,
885,742,632,975,989,824,927,735,757,472,334,376,212,442,696,510,587,914,914,
949,343,564,453,175,927,823,280,434,796,010,942,432,489,709,612,502,630,884,
678,908,386,627,731,482,691,423,797,642,596,777,867,949,902,882,697,816,833,
098,252,187,158,258,200,166,503,063,371,618,332,532,017,020,136,934,810,643,
438,915,151,103,969,418,157,987,791,248,032,768,528,108,656,907,450,768,035,
276,989,511,581,293,524,547,541,807,092,469,852,765,344,112,151,139,227,248,
009,660,722,549,852,024,536,882,898,931,435,881,695,080,128,289,155,828,625,
851,071,858,743,665,210,286,678,843,063,997,542,081,656,278,955,903,235,409,
117,414,917,793,380,504,991,225,892,031,689,649,350,292,873,214,696,326,798,
173,735,002,248,149,931,565,808,048,013,732,684,693,943,612,441,784,391,245,
293,737,489,968,070,918,990,979,400,187,988,830,470,272,595,805,217,635,693,
940,045,929,557,235,103,834,218,760,601,432,817,783,899,309,237,348,971,752,
567,374,326,139,772,985,271,903,884,134,452,259,645,107,726,001,892,718,928,
453,738,705,698,616,288,091,176,200,057,010,880,650,010,192,615,258,364,048,
774,743,452,305,344,482,123,806,456,961,173,779,026,296,260,750,035,929,331,
209,379,403,532,652,850,959,255,940,400,854,686,697,548,341,924,235,144,899,
004,540,214,213,814,946,889,849,715,490,846,131,233,725,123,832,453,996,159,
266,317,868,111,036,322,356,560,606,071,732,944,398,460,554,348,035,937,963,
771,893,016,662,287,695,035,094,667,772,373,953,479,041,726,874,860,425,206,
436,641,800,215,620,041,251,025,241,604,106,444,531,832,080,446,265,473,701,
023,285,915,052,654,601,315,941,257,578,023,492,094,238,031,105,080,248,486,
340,965,734,251,839,131,251,572,281,774,013,338,308,181,617,523,756,163,731,
218,306,879,503,621,215,793,520,819,816,307,811,109,155,947,058,436,620,801,
228,884,420,184,716,590,041,136,003,974,382,022,531,400,136,379,650,810,610,
539,423,073,817,740,339,308,927,518,427,845,439,974,898,453,033,771,468,521,
111,040,587,411,225,843,628,418,024,719,213,048,614,177,724,502,870,621,731,
020,065,667,674,931,756,990,657,103,116,345,451,012,895,290,501,440,044,707,
117,349,405,068,216,279,361,076,391,446,660,962,141,782,015,877,469,084,563,
287,711,983,915,274,787,990,079,143,635,103,075,220,873,678,541,525,449,247,
037,053,859,567,573,213,193,742,242,301,052,241,954,599,576,622,591,614,059,
077,871,652,991,716,679,825,425,395,786,840,689,191,104,501,133,441,169,301,
789,733,902,552,097,544,192,367,395,884,732,828,818,451,017,489,588,341,535,
648,760,013,761,885,657,405,903,519,843,757,273,373,396,789,375,820,921,089,
382,172,852,751,536,891,961,627,143,695,732,271,680,904,033,495,500,890,254,
935,989,988,380,991,942,649,225,820,343,567,297,024,519,016,764,255,649,265,
035,236,259,447,653,796,419,333,630,648,757,707,048,517,306,704,448,658,975,
817,917,340,152,255,901,714,626,973,596,312,999,988,146,274,647,703,494,922,
852,194,013,277,148,706,111,736,176,159,248,607,659,679,454,727,196,602,792,
008,650,303,985,205,827,832,299,191,590,687,565,244,257,622,746,631,455,263,
270,404,955,473,286,569,756,801,746,297,250,086,939,865,627,712,729,676,128,
742,688,857,985,448,107,148,690,976,587,505,298,069,577,184,188,436,801,051,
164,936,167,987,378,929,737,410,131,943,330,834,521,041,834,308,563,677,424,
896,367,390,951,764,820,629,010,174,340,660,073,541,505,287,642,782,342,533,
858,046,041,960,395,843,625,582,528,445,138,994,479,789,263,952,623,273,963,
040,718,462,714,598,763,448,816,742,869,224,228,036,164,582,091,010,588,836,
585,917,975,511,138,670,509,392,990,425,784,928,829,763,891,213,112,826,134,
240,258,972,222,118,000,681,563,082,966,707,726,963,380,734,918,209,874,938,
158,047,057,921,750,363,532,994,846,301,442,476,311,472,916,567,291,528,188,
910,596,578,960,123,489,079,216,554,817,925,962,816,376,114,519,787,308,799,
073,297,159,901,999,295,558,030,922,866,164,172,011,055,228,761,179,654,747,
654,203,665,656,366,021,079,363,091,503,823,762,233,512,641,577,014,984,142,
994,788,697,904,526,608,044,048,515,501,398,678,156,696,295,792,515,534,679,
385,336,907,356,490,208,359,733,657,174,537,121,335,379,147,386,838,182,442,
356,855,398,205,178,725,128,569,185,279,512,604,707,287,054,220,928,035,496,
707,416,469,694,037,825,798,282,145,994,101,579,252,485,292,670,090,717,065,
489,232,114,692,502,577,772,551,057,553,927,623,092,395,915,201,974,006,140,
924,672,643,033,457,248,552,367,592,281,256,832,764,734,117,836,217,762,708,
119,262,210,148,718,325,754,706,184,721,770,701,866,029,974,586,599,546,514,
308,347,366,513,568,557,076,684,677,508,354,159,132,875,971,933,064,160,117,
398,389,509,824,714,266,162,453,153,227,608,513,936,400,517,982,497,071,278,
072,782,450,431,650,767,501,751,135,970,073,239,768,494,749,191,372,673,304,
609,809,366,019,457,671,703,161,704,279,315,569,417,572,750,758,615,179,895,
163,228,181,345,196,249,062,940,560,049,163,322,508,784,997,622,933,612,684,
598,604,551,000,502,360,175,349,924,534,926,169,647,452,923,280,743,985,761,
402,114,054,632,229,475,189,229,296,697,682,365,109,911,175,447,011,136,798,
005,616,667,656,613,113,187,423,984,731,293,235,404,487,395,162,555,235,366,
040,411,778,514,619,410,210,118,644,156,261,816,458,901,755,279,987,356,161,
783,327,966,545,349,781,761,960,707,853,960,439,132,869,708,315,934,757,073,
495,747,167,294,422,695,742,913,247,579,111,680,262,518,831,861,352,703,874,
646,298,683,308,609,697,388,745,664,501,052,777,285,608,711,583,277,669,235,
181,745,934,177,973,384,621,336,315,636,351,792,375,031,217,529,948,372,894,
094,450,514,473,922,704,675,086,900,811,457,576,814,999,852,861,798,311,390,
033,358,392,781,696,973,232,943,133,047,073,976,489,001,747,728,599,418,263,
790,363,007,261,393,057,253,635,157,840,312,266,833,418,499,068,566,123,863,
585,552,434,458,626,768,465,595,221,942,405,893,237,507,257,583,593,477,356,
178,290,688,329,302,784,833,655,711,034,284,061,693,384,491,215,120,533,648,
592,200,526,445,662,784,775,328,749,241,455,786,615,735,297,234,422,450,280,
565,250,064,586,879,793,697,995,492,586,837,514,737,886,009,326,313,625,964,
342,813,336,201,639,064,601,896,664,793,822,790,923,201,253,099,758,328,229,
941,250,676,033,389,695,926,128,709,965,125,515,076,165,015,487,606,847,349,
236,169,275,859,699,665,882,752,209,825,573,613,764,469,066,987,637,578,189,
192,420,761,703,472,568,134,379,342,792,756,859,268,190,142,000,536,585,488,
905,029,952,200,891,117,327,842,901,837,169,907,171,903,052,798,943,294,789,
250,735,440,554,116,581,742,171,231,854,457,750,715,811,767,431,261,468,212,
643,432,879,227,765,091,373,634,867,588,246,534,045,110,400,051,958,085,504,
881,638,962,792,552,086,006,776,267,050,101,251,970,317,511,724,167,499,191,
481,725,193,074,151,870,373,181,353,485,339,368,189,422,646,358,269,276,735,
167,475,270,474,789,384,733,185,779,877,767,098,281,242,627,166,695,496,113,
252,808,040,030,223,334,565,096,827,500,471,138,315,084,517,152,014,432,278,
963,623,109,886,901,439,216,893,210,343,345,326,939,227,913,808,143,255,344,
121,077,474,019,580,690,515,545,180,194,820,704,313,415,603,219,027,595,398,
686,035,173,983,598,479,376,458,937,755,993,512,645,176,572,955,310,825,602,
583,104,263,017,137,347,564,883,775,004,146,808,568,042,020,260,219,178,321,
950,484,461,681,631,397,508,738,599,527,409,610,619,327,135,763,551,815,617,
913,347,464,993,252,940,308,897,367,099,691,525,683,117,396,167,062,340,271,
651,025,784,440,620,389,626,409,647,926,095,467,065,763,712,518,439,550,277,
480,510,788,869,589,248,264,107,674,091,771,188,595,688,052,216,783,210,539,
760,620,070,003,932,227,282,011,884,674,577,409,565,644,647,297,750,124,698,
320,445,715,464,833,968,125,645,090,292,928,804,711,077,193,011,883,837,871,
193,206,784,492,439,317,182,336,238,755,075,111,756,627,184,862,731,343,299,
936,986,941,672,260,590,145,371,936,588,414,199,546,562,440,205,014,095,215,
773,550,944,619,485,040,155,066,356,534,345,792,242,312,493,752,115,151,030,
348,266,287,249,194,810,909,252,168,717,076,292,510,867,349,991,628,770,257,
489,605,819,267,993,476,468,130,262,325,071,501,186,295,155,496,776,177,856,
541,424,763,712,406,141,231,896,834,645,311,470,299,704,097,147,749,616,524,
031,974,603,123,262,672,097,570,135,795,048,309,759,724,480,665,611,037,307,
142,690,870,314,696,636,990,482,919,103,913,523,301,868,472,917,542,521,135,
204,518,123,831,962,752,891,200,263,624,975,688,279,055,255,447,045,505,133,
937,309,358,097,781,437,048,720,639,901,161,040,045,673,807,964,538,338,020,
622,661,831,163,458,029,654,161,993,715,273,140,872,308,930,973,799,092,028,
680,164,480,018,442,008,117,973,845,960,101,754,917,099,861,477,796,672,341,
568,292,905,777,701,628,557,770,473,440,061,336,417,175,959,611,965,049,786,
063,823,151,052,876,385,741,962,024,820,736,942,217,092,949,947,072,094,683,
395,819,412,279,347,837,276,054,207,268,325,999,742,350,945,859,539,126,643,
347,963,428,886,271,460,420,331,899,621,282,269,544,140,449,267,773,550,513,
505,710,337,388,324,148,912,602,563,593,870,244,406,811,791,322,585,017,888,
767,608,801,568,317,473,587,420,593,863,399,259,503,810,353,439,150,391,644,
446,789,051,594,301,717,086,967,057,121,555,081,640,832,111,726,877,997,883,
960,268,191,118,541,848,565,809,250,765,167,611,921,507,790,667,258,118,772,
237,398,805,807,145,021,079,123,829,114,142,476,429,082,079,618,265,528,439,
088,773,999,240,061,241,323,035,023,225,422,568,117,518,654,889,888,769,764,
323,880,362,703,080,166,629,038,098,272,192,253,803,136,192,426,384,890,429,
399,007,532,573,912,880,163,415,708,684,312,171,522,855,124,840,015,663,469,
570,998,236,604,679,392,087,613,378,478,334,597,719,465,379,655,644,574,611,
663,113,690,593,972,262,815,315,352,438,315,084,857,272,709,443,968,075,124,
586,376,487,047,796,110,034,958,865,141,504,591,868,724,784,956,530,731,033,
546,334,508,693,903,131,831,074,450,253,179,452,979,924,972,928,375,134,184,
975,737,098,599,337,795,170,054,101,402,635,670,329,760,284,941,566,789,223,
337,109,150,908,290,499,459,783,635,594,943,164,269,632,748,615,359,834,965,
285,779,473,242,783,937,681,198,903,589,184,253,705,978,125,380,582,959,584,
747,103,040,335,831,465,560,432,071,069,453,950,944,854,304,599,607,270,220,
193,663,388,402,813,521,961,103,417,405,759,482,341,220,454,485,530,360,329,
058,482,332,159,646,602,987,154,336,980,554,969,214,936,514,526,109,596,011,
609,521,135,453,242,714,986,141,652,916,746,580,523,612,805,428,931,966,680,
566,440,632,039,940,736,491,192,423,979,469,800,205,367,730,750,293,054,201,
889,360,644,908,171,665,173,427,235,794,707,092,889,488,027,965,183,034,878,
157,526,689,593,972,133,902,686,495,876,074,956,702,056,662,717,371,632,090,
376,984,009,612,678,297,932,976,483,880,286,203,603,360,316,616,982,815,968,
560,320,399,515,570,847,435,786,310,196,647,850,687,694,316,263,985,834,554,
727,884,357,449,661,313,293,033,163,337,849,217,327,087,175,424,359,614,455,
436,477,287,410,598,103,488,077,360,499,103,562,278,178,412,691,078,578,648,
127,071,214,506,656,207,755,003,367,256,623,864,168,709,890,505,295,807,299,
093,475,639,849,037,750,459,472,373,250,667,648,266,749,813,092,224,501,814,
602,852,222,866,438,750,821,615,414,339,697,623,227,326,570,687,859,186,278,
343,859,225,458,075,680,743,300,202,065,268,039,167,563,204,570,540,866,654,
751,571,597,268,835,121,375,860,007,211,540,588,444,363,940,877,707,177,358,
559,777,029,232,266,688,271,072,572,641,394,573,065,162,261,124,362,001,755,
402,433,451,261,802,941,555,461,342,369,603,361,618,093,714,398,486,189,111,
788,459,009,138,180,587,048,634,618,800,155,264,820,578,858,121,598,705,850,
918,670,621,330,922,354,590,513,340,380,363,443,296,933,997,909,278,090,630,
531,110,057,298,731,083,326,822,196,168,607,832,047,467,153,180,284,452,934,
502,873,488,954,815,909,642,124,230,254,563,258,813,238,664,410,538,257,029,
767,389,408,057,476,621,767,239,903,366,279,310,866,886,732,043,860,056,960,
815,799,177,979,067,815,465,562,188,827,939,375,241,874,347,728,414,005,551,
787,235,907,870,065,733,998,130,889,593,603,379,731,053,443,264,585,589,945,
800,889,374,673,930,631,508,823,401,206,632,532,676,268,751,975,072,781,404,
132,046,354,617,442,129,237,718,513,128,568,810,786,670,884,412,641,837,060,
741,416,080,853,441,696,330,596,967,177,097,744,179,434,953,969,292,525,580,
202,811,654,828,180,782,304,776,010,336,069,982,075,267,441,317,941,097,435,
417,486,846,498,369,062,454,378,010,545,375,350,573,814,120,023,900,848,720,
351,800,264,365,875,709,253,351,962,917,449,296,794,442,531,246,631,886,432,
303,263,286,261,108,393,355,914,107,416,219,939,886,895,554,954,555,108,357,
686,959,269,606,964,746,896,767,093,876,303,630,324,358,101,677,930,248,130,
160,184,338,888,884,586,333,954,528,097,228,162,915,391,851,305,178,106,814,
947,670,223,269,095,726,075,027,021,554,792,772,562,826,741,074,289,110,229,
139,027,521,339,143,575,088,357,044,524,168,884,684,734,470,528,511,636,192,
068,021,157,685,500,570,514,188,910,220,432,408,488,005,863,496,859,285,761,
189,067,776,239,051,417,698,631,018,835,232,546,833,535,310,071,503,926,407,
496,549,643,224,512,685,252,430,522,094,213,076,270,682,708,748,333,761,083,
231,782,461,329,918,354,971,098,742,695,903,663,064,303,405,035,918,873,337,
181,813,095,537,319,259,574,591,094,263,401,325,713,459,145,189,260,158,895,
659,476,421,810,285,730,275,592,968,233,731,505,660,546,305,028,041,232,475,
189,731,785,531,687,909,105,402,554,126,242,021,504,216,032,390,961,447,323,
893,072,145,191,174,636,957,330,704,864,192,894,626,402,327,092,283,412,091,
162,968,787,972,371,037,302,755,778,873,228,345,536,237,101,742,827,562,556,
423,615,238,928,783,216,204,983,534,872,538,216,379,622,123,979,808,171,692,
720,143,107,056,269,064,730,665,906,969,426,497,963,426,439,202,183,205,075,
647,860,720,016,628,944,500,080,573,690,319,235,168,151,665,684,279,383,830,
549,965,584,257,323,121,128,458,082,023,766,363,403,743,204,390,282,547,507,
715,610,609,910,336,166,648,309,235,277,612,321,633,587,184,994,470,988,642,
880,721,612,583,929,495,381,283,217,184,421,975,665,610,249,387,881,450,928,
244,145,604,934,086,389,875,106,200,103,279,827,655,652,865,055,026,482,001,
232,508,200,958,926,344,645,036,455,626,736,942,283,268,240,242,349,341,500,
862,351,186,760,389,045,847,618,699,016,250,105,128,272,485,777,049,238,692,
996,343,983,625,585,608,822,634,259,748,326,878,669,313,633,204,458,683,672,
307,479,988,056,731,621,906,688,618,186,241,902,734,062,647,570,655,211,001,
105,319,454,155,630,566,550,478,339,212,411,330,036,925,582,963,177,978,754,
093,382,559,557,018,449,347,784,588,773,810,601,403,313,395,968,375,450,729,
856,890,146,261,309,154,771,209,010,937,324,219,168,831,324,256,596,153,971,
010,436,375,417,592,661,578,026,771,975,333,036,687,421,008,449,841,237,940,
903,528,417,825,582,317,552,073,104,416,120,741,107,874,807,792,750,032,756,
627,115,909,126,224,548,368,397,439,548,269,897,021,151,307,617,105,745,805,
683,888,694,329,985,905,871,400,920,853,622,583,816,021,648,365,429,258,054,
321,115,663,183,040,657,499,703,890,719,835,094,126,825,824,167,500,685,669,
066,262,868,535,577,308,656,898,739,599,166,638,841,859,026,717,957,560,769,
285,131,058,844,805,277,519,335,316,878,777,271,748,312,076,981,160,015,308,
893,851,302,864,036,347,172,362,451,700,333,744,748,773,124,519,050,427,196,
115,094,410,382,014,113,879,450,214,438,183,713,542,556,224,894,589,888,635,
385,578,605,787,197,827,032,307,832,809,417,424,988,415,761,603,277,170,303,
720,971,855,487,624,436,666,654,620,054,338,569,502,043,250,029,824,384,414,
746,083,404,590,543,382,970,124,944,311,112,742,467,272,400,404,627,939,506,
537,536,397,647,995,218,208,980,705,424,303,608,333,953,396,928,878,165,461,
847,688,119,328,762,506,586,394,903,016,953,460,293,038,041,436,031,305,217,
154,819,085,066,387,742,812,963,887,952,236,107,952,913,466,301,384,470,880,
593,511,726,897,127,768,566,989,234,199,562,625,939,570,819,775,591,573,612,
562,414,672,816,654,747,527,354,056,597,401,549,178,933,835,595,071,145,625,
152,050,204,320,677,109,471,963,136,662,715,698,045,274,986,698,820,705,936,
561,140,389,522,635,128,261,087,043,789,495,683,994,599,434,925,848,529,805,
856,184,509,928,802,547,843,927,876,970,493,695,572,888,489,780,548,225,608,
657,985,249,086,516,397,138,347,668,298,283,676,540,694,203,855,112,943,865,
037,944,360,713,556,349,972,985,076,905,241,523,696,068,432,557,225,815,543,
592,827,580,980,076,622,933,833,263,380,027,569,380,258,189,435,262,894,483,
244,434,684,969,289,648,344,655,654,943,702,088,803,836,791,849,803,384,886,
352,265,968,295,488,691,710,096,600,373,426,503,907,165,386,301,189,549,249,
701,622,288,036,232,266,044,026,858,753,258,016,429,591,397,973,612,585,082,
634,722,820,228,048,214,860,682,465,534,415,071,959,781,102,482,699,757,642,
240,857,998,442,679,966,367,499,192,011,306,646,652,317,602,752,222,314,935,
723,197,502,737,587,370,304,411,983,064,392,122,407,189,827,015,814,966,335,
238,474,322,615,515,428,200,676,940,652,549,803,613,030,065,771,156,741,329,
569,688,435,833,752,317,414,407,994,193,183,466,751,931,770,290,900,934,071,
724,749,763,702,635,924,133,109,105,386,802,885,281,471,020,289,151,469,750,
508,327,171,653,516,959,016,173,897,535,586,431,101,318,815,126,940,185,510,
599,554,212,391,876,388,224,089,884,868,297,125,670,109,000,769,011,713,702,
198,924,285,205,676,358,659,187,271,624,733,482,875,405,701,233,021,856,765,
080,416,404,322,722,427,516,400,496,182,734,494,176,855,692,792,565,563,014,
828,614,465,561,129,785,836,069,632,534,716,306,992,630,090,512,326,558,231,
292,052,471,452,419,700,591,081,958,694,610,072,296,413,820,428,167,404,512,
176,825,575,693,575,131,668,316,020,640,895,484,159,786,459,484,187,676,497,
053,269,956,459,138,822,005,936,102,873,764,493,197,368,443,932,870,948,373,
708,055,382,417,146,729,293,793,527,543,553,039,246,563,113,758,675,077,716,
524,824,561,947,423,580,562,304,932,245,024,315,883,313,742,035,921,704,901,
733,088,835,756,275,067,970,323,430,671,271,430,111,310,970,583,404,875,299,
658,639,856,720,293,594,761,290,451,352,722,236,701,545,921,034,589,914,728,
679,991,696,230,151,185,802,434,695,761,649,211,420,750,463,512,937,417,961,
793,693,164,235,706,045,188,133,705,733,507,361,436,364,910,021,095,777,054,
211,392,229,895,512,438,586,467,320,277,532,451,872,809,286,368,703,821,339,
210,267,465,258,977,828,309,618,618,205,531,445,143,462,662,561,994,146,572,
820,919,789,924,250,538,480,132,119,859,048,387,527,705,870,818,897,262,903,
133,426,695,249,979,236,159,655,865,929,804,025,996,257,330,301,291,241,623,
059,727,782,762,221,609,107,040,948,438,288,541,137,109,759,143,340,760,236,
262,553,804,805,741,272,643,223,909,670,997,575,859,861,202,734,975,344,366,
874,226,293,674,008,471,029,848,085,514,148,372,452,625,495,829,129,361,719,
353,189,921,210,927,677,814,299,106,440,478,224,107,913,154,579,083,643,317,
670,617,246,386,399,821,773,713,887,035,169,096,489,439,365,005,688,214,705,
140,330,231,837,896,004,002,347,837,261,079,441,771,066,419,921,547,105,640,
412,783,382,686,137,812,614,590,672,516,283,617,877,505,042,642,512,577,544,
193,819,039,775,388,096,362,698,386,652,903,319,213,492,030,233,731,700,846,
221,226,271,256,273,311,353,586,639,411,667,490,333,757,589,135,737,692,164,
925,659,454,801,262,714,962,725,701,142,217,946,615,234,708,214,106,461,824,
035,400,477,694,019,471,054,532,966,845,414,466,348,149,153,310,492,115,134,
777,331,700,917,908,161,113,192,974,373,283,968,765,763,135,066,524,663,624,
623,026,931,150,107,705,514,487,202,871,614,371,386,809,031,416,976,147,411,
979,296,976,599,501,903,230,072,149,714,567,479,642,743,241,779,744,805,021,
758,074,579,032,215,433,094,519,013,907,246,623,119,592,429,130,694,813,479,
695,492,088,452,335,083,307,847,574,361,396,123,306,430,703,097,056,651,590,
665,149,972,242,656,751,024,595,999,658,973,545,955,417,807,531,531,977,011,
160,710,891,748,083,277,766,224,534,215,553,439,108,770,042,619,130,623,888,
585,423,243,912,862,938,328,357,880,942,910,827,140,512,246,484,527,423,499,
325,541,694,125,042,149,552,813,600,895,337,932,379,683,776,989,178,804,169,
593,144,801,016,580,068,865,184,228,155,211,570,829,184,611,669,869,678,383,
996,036,887,615,475,021,406,881,740,113,760,349,114,023,289,508,472,050,307,
761,417,832,722,960,033,724,890,347,155,793,281,259,410,370,990,211,732,170,
210,469,465,830,078,784,169,085,599,844,254,567,457,545,244,502,219,079,285,
145,322,534,234,716,160,220,655,318,682,961,722,538,558,922,024,401,611,298,
580,136,700,998,289,819,536,336,355,791,493,431,446,748,760,370,246,502,366,
085,149,518,658,706,797,522,649,309,433,206,644,888,904,211,439,994,773,352,
087,919,298,522,718,588,149,224,841,021,102,746,392,358,687,043,459,301,183,
445,865,194,636,295,996,689,153,497,118,998,659,153,553,863,339,551,009,495,
503,614,707,734,756,524,314,157,762,770,047,809,592,808,271,787,699,525,144,
326,745,812,264,617,345,649,377,988,142,970,211,354,197,682,373,457,359,143,
414,038,911,188,562,919,663,149,680,938,287,418,273,586,048,085,705,664,489,
746,655,092,681,786,946,238,186,656,153,851,037,958,440,172,622,909,676,618,
815,117,989,073,259,160,515,946,908,780,249,409,851,032,316,851,994,567,879,
770,161,246,234,021,049,870,378,425,380,701,478,557,997,145,644,903,053,637,
838,939,254,396,522,204,987,652,813,817,951,696,512,935,140,820,124,003,490,
276,101,895,543,013,085,472,837,767,306,730,281,509,880,291,061,610,931,445,
751,407,694,263,787,101,909,525,057,918,216,652,702,678,337,762,059,121,381,
367,566,619,393,067,243,839,651,583,920,299,555,524,639,770,346,390,444,845,
629,985,580,461,938,713,833,058,108,878,211,477,201,759,522,390,475,151,424,
006,365,430,064,849,136,727,232,884,083,368,537,428,380,862,039,523,321,536,
967,591,303,721,771,051,593,375,383,812,946,802,784,896,346,267,232,888,453,
367,233,837,575,245,471,967,157,369,040,641,752,538,716,026,840,264,593,513,
164,812,534,186,173,788,029,270,838,377,342,070,962,118,486,705,009,433,577,
879,678,948,439,077,877,048,286,773,120,566,820,946,073,465,045,610,115,222,
456,011,735,247,318,216,370,089,106,394,698,783,837,544,585,536,502,464,730,
223,769,547,184,737,029,271,222,228,622,419,501,832,137,772,106,729,019,550,
645,608,025,549,218,719,885,901,072,213,033,568,892,098,824,715,584,425,141,
909,330,712,372,287,473,860,152,034,821,167,906,584,024,966,070,719,931,195,
124,640,671,586,993,186,890,069,901,718,934,705,682,429,835,558,706,351,505,
043,297,059,260,879,888,052,656,585,360,891,790,784,213,087,243,046,228,526,
958,319,605,054,187,370,593,446,278,590,169,289,448,159,959,017,252,568,922,
483,569,456,381,891,319,909,478,663,048,884,621,000,093,695,571,694,699,305,
527,537,830,743,504,159,386,121,059,052,596,091,510,770,560,101,903,034,836,
489,000,801,179,990,934,045,325,434,973,936,840,532,350,905,415,121,185,224,
932,830,545,588,167,570,692,281,128,200,313,447,652,278,846,745,734,661,036,
474,749,155,921,851,135,312,714,348,197,222,478,608,473,028,969,000,416,458,
772,389,430,935,229,308,876,446,679,220,192,931,380,972,246,548,445,836,640,
114,212,617,945,373,829,116,427,711,398,891,451,507,975,794,943,372,734,685,
648,179,347,626,206,142,089,443,990,356,096,674,808,933,592,022,953,909,645,
543,780,672,669,792,294,892,880,890,610,242,534,096,472,888,474,813,632,528,
051,848,149,551,674,118,004,941,958,544,973,211,878,374,309,500,297,584,461,
302,119,943,321,732,358,596,968,415,340,230,402,660,392,131,093,109,650,845,
382,082,282,117,457,313,029,400,002,469,721,278,767,026,459,574,904,551,981,
158,370,601,879,019,331,491,673,578,836,949,865,123,303,074,317,579,488,717,
225,580,554,652,329,717,769,736,444,655,971,019,290,304,357,738,090,530,060,
626,656,391,513,525,917,699,165,926,345,405,700,386,486,327,434,953,420,228,
411,201,256,478,048,270,504,678,275,719,665,210,163,100,868,965,894,976,661,
062,016,250,104,898,886,112,474,202,198,670,450,969,587,140,052,767,728,082,
241,812,671,119,150,054,327,325,701,975,020,752,754,483,365,852,355,227,400,
183,155,656,095,151,701,088,407,918,206,114,093,687,830,280,449,226,466,507,
486,039,500,714,217,910,019,611,243,664,400,924,633,748,696,289,555,810,474,
310,166,209,061,615,848,824,035,354,989,331,198,240,892,376,250,035,864,812,
899,445,657,918,329,643,306,912,387,450,563,613,472,723,055,730,487,796,026,
644,125,776,634,737,364,381,371,621,292,427,833,676,269,564,077,892,286,153,
593,921,436,986,464,499,937,949,583,282,632,764,402,649,022,458,938,265,853,
438,351,260,368,464,763,393,002,931,778,960,995,799,402,118,911,967,591,193,
296,984,386,850,972,403,657,126,076,033,377,407,720,386,313,477,387,462,611,
880,743,825,026,944,729,410,385,081,799,114,984,391,213,049,174,880,379,786,
746,701,599,001,749,448,576,641,792,506,337,958,240,764,346,674,066,225,253,
974,073,522,145,581,026,250,388,413,197,511,849,200,007,445,260,719,574,111,
964,136,063,371,001,639,410,807,297,601,106,922,672,114,092,659,995,626,583,
969,271,688,414,715,492,941,619,566,292,390,577,190,788,297,437,861,753,332,
956,956,064,979,433,319,405,732,153,633,680,412,183,700,227,624,107,437,480,
070,356,584,685,483,749,938,141,458,432,309,426,501,234,617,228,079,182,761,
276,204,194,431,850,015,539,177,318,807,496,927,409,529,870,929,514,081,175,
979,842,058,998,762,836,120,950,308,667,757,555,088,660,331,515,679,963,871,
031,092,682,294,192,487,245,012,434,181,649,162,851,990,079,178,361,188,791,
596,107,398,788,479,681,432,082,764,355,847,272,255,314,293,089,074,543,281,
848,189,528,281,877,351,718,615,418,399,039,396,439,213,450,556,131,177,639,
396,304,485,504,752,020,966,543,250,174,542,295,752,364,945,309,571,210,193,
960,984,092,209,911,497,636,872,614,048,996,086,483,279,376,030,387,871,843,
684,821,710,858,871,768,390,523,586,840,411,282,340,059,171,389,736,386,453,
150,658,615,338,757,692,211,588,557,607,788,295,118,913,553,992,427,860,551,
059,402,110,925,120,331,857,896,537,183,173,780,512,395,564,074,343,710,962,
699,222,617,260,556,694,335,235,198,956,496,957,833,656,218,556,147,406,298,
959,330,358,661,531,574,306,791,250,460,250,561,024,783,453,250,242,547,293,
472,542,587,746,626,397,452,464,796,328,930,950,232,641,095,939,849,937,924,
506,597,937,716,774,529,720,302,742,352,758,899,740,439,400,558,455,116,482,
810,454,673,590,868,642,096,298,782,459,768,991,770,363,018,553,314,896,509,
605,443,578,916,135,344,310,076,983,502,151,096,476,892,061,963,189,204,481,
542,551,776,193,169,685,976,866,940,684,305,945,037,399,726,161,762,740,640,
294,138,316,673,257,849,722,777,300,757,402,506,422,964,260,251,700,331,123,
879,978,744,375,754,333,225,149,551,062,067,442,937,082,309,127,607,123,239,
841,768,329,594,068,423,241,230,234,284,180,174,897,379,482,420,891,102,319,
746,597,808,145,879,865,139,821,335,952,698,541,108,667,285,458,035,262,066,
412,271,550,539,767,599,088,224,914,193,696,143,813,195,419,641,485,200,371,
589,491,174,151,435,783,407,238,033,155,570,936,672,882,013,838,742,871,200,
648,297,312,557,609,043,556,033,197,462,035,782,943,409,195,156,964,089,910,
119,479,048,613,164,061,462,813,393,498,351,603,517,174,222,414,991,758,969,
047,041,265,170,533,279,225,194,394,735,084,907,011,763,735,457,548,052,962,
258,734,446,656,112,811,637,357,165,420,126,433,048,741,997,599,767,004,200,
182,532,679,594,723,302,061,975,781,580,106,884,424,849,469,749,851,453,501,
086,215,068,824,045,878,895,375,852,793,744,525,260,242,297,596,490,306,137,
762,537,719,916,355,347,924,572,018,393,161,483,373,276,602,182,848,950,702,
603,368,959,388,739,292,359,751,695,159,197,371,525,939,492,216,728,868,249,
147,728,801,770,818,183,547,538,113,730,976,252,824,955,506,413,559,257,040,
356,430,645,299,142,668,955,516,410,783,536,451,959,851,664,861,780,515,981,
865,733,662,156,973,547,645,288,617,120,753,431,338,462,203,272,121,712,201,
136,753,590,251,722,158,054,802,892,888,538,165,770,352,580,760,818,453,315,
670,468,049,374,532,062,110,969,527,996,328,696,343,015,863,375,655,962,871,
611,797,421,464,613,201,677,138,372,690,125,783,223,014,164,166,121,403,883,
128,356,971,978,057,119,089,412,829,199,056,994,611,547,018,155,053,246,299,
845,004,911,363,736,677,361,055,565,225,095,857,456,489,328,250,573,371,095,
200,575,897,040,686,991,647,985,740,709,944,506,304,088,171,475,644,320,988,
989,048,130,878,432,768,943,674,539,553,214,528,778,963,723,217,547,316,727,
029,181,713,179,805,909,951,183,795,298,147,346,876,303,599,259,571,442,115,
545,402,738,568,716,508,049,593,867,089,617,586,129,913,213,349,624,828,461,
515,978,389,001,663,503,414,025,713,012,562,730,376,443,472,828,469,172,256,
726,211,139,261,649,546,258,158,848,210,539,873,100,977,886,523,803,122,473,
793,133,950,582,524,617,109,548,638,807,567,901,574,083,566,488,980,469,489,
315,356,722,451,613,341,784,358,978,092,806,559,350,673,372,042,482,531,987,
192,994,679,568,047,947,036,534,377,921,295,457,197,676,579,326,013,073,837,
533,295,732,942,857,162,691,017,207,370,499,954,352,316,536,980,437,545,246,
600,143,390,875,344,759,851,997,525,315,032,391,902,970,319,851,618,454,288,
567,845,021,105,291,212,424,602,376,260,274,430,393,397,543,765,657,426,762,
604,095,264,365,333,558,234,013,490,620,973,669,499,328,412,953,625,635,973,
402,113,844,678,977,617,684,569,469,918,138,110,285,357,989,034,492,544,386,
687,047,682,804,985,964,849,892,610,638,633,910,220,360,498,881,501,308,485,
803,576,682,327,686,214,152,082,636,898,430,533,809,508,433,228,607,001,560,
518,479,084,933,864,918,290,592,028,780,438,330,292,494,079,721,934,875,258,
448,251,197,130,518,460,213,155,188,842,321,368,599,894,634,171,115,850,464,
064,885,015,496,174,938,032,613,502,630,848,010,072,480,557,830,763,038,865,
234,918,881,186,505,210,946,809,130,520,438,345,800,397,645,796,464,677,075,
023,448,007,971,128,459,544,310,591,453,945,533,910,819,472,921,241,958,329,
778,583,485,084,754,409,454,962,426,477,124,455,343,791,142,861,489,677,825,
589,606,783,202,835,567,188,731,193,760,241,953,677,119,927,547,773,978,435,
079,753,126,330,846,664,201,441,296,650,981,666,253,516,118,034,586,782,735,
514,315,013,308,963,332,328,606,282,632,787,643,556,581,424,546,697,996,391,
036,617,133,953,860,457,492,689,366,475,735,299,390,121,454,116,500,150,727,
225,071,877,869,016,202,707,895,546,752,020,645,373,822,590,900,813,535,127,
682,670,886,388,081,882,543,965,154,668,609,602,667,190,778,843,732,954,247,
369,588,104,956,205,139,375,632,366,113,684,870,306,512,316,525,360,422,036,
846,119,097,459,037,706,346,442,643,625,525,801,445,534,139,831,815,578,366,
838,624,805,471,283,965,728,873,597,668,729,590,617,841,323,155,897,220,622,
560,503,239,551,750,170,308,897,951,964,468,672,929,575,282,254,744,853,280,
035,178,640,221,805,481,660,341,429,793,668,217,524,316,531,706,600,987,013,
782,078,502,944,185,865,146,781,829,047,157,196,159,464,769,506,895,530,231,
245,532,032,547,677,697,712,879,637,042,006,024,509,513,198,635,761,754,729,
009,987,179,641,158,735,524,496,540,059,463,735,079,005,482,354,515,928,836,
708,412,933,288,599,249,626,095,521,515,507,847,102,446,268,930,103,990,519,
599,906,994,835,159,173,971,024,069,309,553,782,060,620,088,298,485,964,785,
391,197,485,948,738,277,155,001,890,597,027,772,914,309,840,325,062,237,283,
920,507,145,914,414,017,456,960,832,743,133,498,187,254,190,522,387,116,969,
684,962,685,694,183,937,617,641,397,042,481,012,976,069,020,214,601,037,892,
145,304,762,314,512,250,845,932,522,547,171,172,363,520,733,199,724,116,459,
014,764,060,696,166,830,160,276,249,029,545,068,620,608,965,282,161,335,439,
701,081,111,565,915,701,133,767,979,619,231,139,999,105,140,517,505,504,644,
360,102,791,779,390,000,715,119,804,325,820,980,245,974,420,844,080,629,464,
583,661,870,661,208,125,505,579,594,875,620,836,972,594,030,192,897,508,718,
874,613,479,610,998,735,222,252,944,245,765,338,377,217,494,210,381,017,558,
558,221,361,649,737,605,881,340,481,148,708,125,359,464,118,725,175,413,544,
111,961,361,485,792,144,206,029,834,277,846,942,650,982,265,987,271,722,129,
541,220,446,280,609,619,225,656,797,112,756,327,403,138,130,997,951,514,510,
241,004,723,015,108,243,019,569,808,195,412,041,406,228,638,131,602,663,656,
649,728,339,805,549,159,577,278,608,104,681,034,614,628,098,820,703,215,402,
369,473,203,053,361,750,662,750,544,315,189,880,882,446,610,732,504,732,483,
168,938,930,608,703,575,895,725,757,752,904,605,917,011,934,818,501,271,203,
732,780,763,250,484,896,979,169,649,974,055,586,619,073,337,571,824,725,026,
128,658,821,422,576,172,823,652,334,406,809,824,761,105,257,883,822,439,186,
520,505,070,500,072,097,300,678,769,456,169,524,848,118,010,460,717,262,566,
336,017,351,853,580,567,522,101,338,095,296,255,966,633,076,228,158,169,818,
667,300,561,097,939,070,821,607,928,248,951,254,006,456,960,130,639,536,159,
564,289,205,560,943,046,231,032,647,042,491,538,805,465,495,517,100,489,490,
183,613,124,431,230,085,104,868,722,215,390,997,044,905,984,525,896,534,974,
202,799,995,898,984,570,112,088,416,848,351,797,402,924,148,132,934,567,940,
558,227,140,952,581,711,680,938,005,858,435,621,673,783,038,595,729,965,459,
615,488,262,850,168,043,848,988,565,463,010,022,128,259,479,432,374,218,089,
833,023,939,396,465,874,697,873,571,818,396,703,607,854,052,763,808,624,942,
042,231,876,715,838,203,712,760,641,436,735,409,508,243,643,065,566,542,640,
745,377,077,463,701,003,597,091,069,727,530,737,909,597,285,974,275,347,899,
280,478,930,866,270,963,452,585,300,349,643,968,228,583,925,116,690,962,612,
491,721,333,076,744,178,110,051,836,728,294,386,189,407,374,437,424,356,277,
957,108,868,036,872,672,832,870,610,493,571,304,134,837,564,205,902,611,903,
391,035,761,751,375,730,007,067,925,409,165,649,907,095,254,056,448,418,231,
701,257,801,320,667,996,482,619,626,323,112,665,511,609,184,385,195,852,782,
982,610,966,747,148,818,274,550,585,510,410,292,207,056,376,874,963,876,484,
270,306,209,599,786,823,573,826,020,808,228,278,702,649,915,938,229,697,067,
635,198,617,802,274,573,502,902,306,884,378,018,958,876,625,377,011,046,480,
750,152,365,073,665,634,933,601,694,844,739,353,872,681,041,667,845,396,437,
251,916,506,889,959,365,291,618,693,145,445,375,310,634,552,056,800,759,966,
734,175,480,449,833,124,045,929,585,478,979,099,556,583,501,812,909,086,434,
063,325,925,292,651,847,903,027,806,225,794,244,514,510,126,378,998,866,797,
078,180,835,152,855,722,298,324,000,360,493,370,782,944,716,393,883,105,488,
157,257,413,645,472,080,738,450,367,049,917,533,680,041,545,348,800,700,954,
077,706,038,339,869,434,522,646,447,033,816,255,913,411,976,936,423,613,852,
200,092,698,958,943,547,984,408,229,706,364,478,420,081,842,523,261,881,501,
759,185,959,851,601,399,148,562,678,820,681,497,502,308,968,684,224,444,685,
387,568,265,065,057,579,424,535,972,350,309,066,200,090,091,897,725,184,041,
898,538,772,240,881,659,514,110,855,094,939,439,291,914,862,292,892,573,578,
125,783,100,764,078,401,445,563,122,612,211,956,275,179,624,026,777,887,658,
099,563,455,970,072,769,067,077,927,633,861,904,536,036,229,405,883,784,160,
174,504,417,147,553,846,334,797,600,202,598,756,231,269,052,927,873,452,981,
500,587,418,443,965,255,518,271,097,606,415,209,700,650,413,421,040,514,641,
444,171,898,429,529,167,636,949,585,823,945,420,816,045,015,563,064,814,343,
372,545,967,977,343,131,676,002,669,844,176,447,735,590,436,131,354,038,767,
024,574,586,264,941,620,828,933,073,120,048,755,598,171,866,785,722,277,641,
836,384,841,512,932,816,957,085,128,300,409,804,636,464,388,862,623,806,537,
805,440,256,647,732,794,612,855,488,257,041,632,867,899,566,570,228,161,777,
100,316,346,081,464,044,107,100,887,545,794,529,797,653,450,092,106,791,180,
492,624,625,138,585,223,287,430,808,832,912,407,968,247,758,369,806,713,022,
710,545,276,144,802,462,238,998,273,351,581,527,879,792,053,802,644,109,414,
719,468,221,389,116,576,087,051,020,248,978,227,187,561,195,808,991,322,855,
328,611,703,613,340,559,003,068,672,212,759,921,845,279,384,699,769,844,619,
338,244,616,313,643,504,711,763,464,879,888,904,408,389,597,327,548,112,366,
247,251,267,413,629,608,927,270,221,231,330,646,217,073,939,149,893,517,680,
337,152,273,906,011,330,208,899,959,815,894,323,694,601,977,478,354,592,352,
263,676,398,068,997,904,809,637,751,371,019,055,882,690,351,639,187,945,379,
962,979,548,887,922,990,561,765,013,207,976,950,155,079,076,736,977,153,935,
171,597,716,079,943,294,798,780,187,904,863,408,946,332,665,797,794,939,239,
170,336,524,493,424,623,493,384,741,596,584,515,714,082,048,901,141,440,750,
764,552,678,686,561,517,560,221,069,377,128,870,406,650,239,926,474,375,834,
704,649,766,897,937,311,768,056,358,881,685,600,667,064,670,198,410,673,721,
213,526,744,093,582,047,098,358,606,802,451,850,831,617,135,541,521,313,676,
216,628,613,197,335,107,883,585,902,007,806,038,937,606,405,764,467,312,150,
013,697,682,513,816,904,879,613,095,825,589,231,173,477,085,270,177,573,784,
304,498,497,485,514,915,970,422,541,478,321,207,880,142,938,287,951,072,961,
052,045,644,872,656,764,026,656,619,455,301,408,211,086,649,291,593,942,582,
499,236,662,805,286,985,407,725,729,683,892,548,443,059,219,298,218,784,643,
945,745,282,690,473,345,687,560,906,962,183,110,206,588,382,860,170,641,785,
746,590,296,255,781,724,351,468,312,714,710,452,910,947,784,254,682,128,588,
555,514,312,377,065,075,644,664,664,381,594,332,832,363,999,544,901,539,892,
488,907,805,356,714,768,232,238,157,842,405,642,748,569,293,477,110,684,406,
035,890,982,024,805,931,403,887,165,200,335,302,981,539,303,335,605,300,122,
315,712,812,140,420,990,360,502,036,197,036,778,120,894,408,358,395,859,716,
346,266,642,463,575,039,318,375,234,645,027,956,908,613,916,107,879,332,723,
410,774,146,232,458,423,669,002,364,187,252,461,932,600,446,284,775,050,923,
144,412,563,321,115,296,849,962,039,580,766,187,044,728,668,640,116,558,388,
093,853,695,352,531,070,126,746,940,055,466,216,884,986,985,516,659,815,520,
654,878,822,062,634,336,402,542,341,642,505,202,355,782,281,340,027,139,864,
398,520,255,388,769,982,968,187,168,664,410,165,539,625,079,847,190,561,678,
162,936,306,799,183,686,840,244,024,423,458,474,194,488,488,875,758,365,596,
585,155,914,613,932,021,606,714,707,701,606,701,791,621,005,598,283,504,506,
752,653,036,091,706,773,231,756,219,562,957,072,411,482,836,906,960,358,050,
935,954,661,457,124,479,220,439,686,881,344,216,154,800,772,672,953,140,868,
505,475,451,041,587,346,352,658,628,644,196,805,671,329,284,578,134,954,765,
250,568,891,267,185,240,164,701,910,893,798,398,546,156,760,446,321,328,581,
185,309,589,866,980,953,505,630,329,482,649,130,256,060,653,057,420,524,597,
727,736,737,320,152,471,966,931,083,413,939,100,895,188,518,545,509,115,866,
673,235,960,399,901,892,408,142,892,459,003,775,254,150,780,149,631,212,350,
597,282,146,324,511,172,715,808,453,712,863,835,285,510,034,149,397,096,704,
105,255,749,271,007,293,303,977,350,706,205,941,116,363,995,867,012,127,374,
878,815,107,612,006,750,210,103,963,109,249,552,251,673,976,853,213,953,187,
392,949,728,383,742,544,505,612,962,335,890,988,672,132,893,326,444,402,447,
287,405,087,704,844,550,969,234,998,132,408,331,828,635,013,120,213,487,738,
960,825,326,641,653,429,184,353,729,833,291,317,097,253,003,094,379,839,920,
581,453,853,502,281,661,114,176,192,454,906,112,650,135,953,016,506,209,754,
350,909,180,753,252,263,634,904,519,101,050,506,445,772,247,763,794,821,618,
761,273,631,286,525,479,222,713,560,861,394,376,200,626,996,198,553,812,216,
323,789,182,965,804,400,430,774,048,507,825,278,880,403,339,869,087,759,259,
283,681,417,817,257,837,566,644,683,274,117,939,172,732,110,057,058,413,577,
591,162,295,540,254,488,149,509,846,006,353,373,500,766,698,577,890,670,659,
058,189,196,118,948,484,042,539,231,740,048,113,416,442,445,075,264,138,158,
387,896,107,422,215,151,845,527,996,426,035,005,255,131,573,149,258,931,792,
746,824,532,298,917,036,903,447,990,664,116,439,373,429,447,327,146,703,177,
625,789,707,388,705,905,530,539,187,291,158,418,239,129,017,151,328,634,693,
549,626,336,883,417,338,277,439,472,139,155,210,049,696,175,599,831,790,187,
508,789,289,731,991,957,336,985,749,694,832,413,946,139,027,551,236,746,457,
490,984,305,068,678,941,979,165,580,669,495,348,016,231,519,835,731,483,390,
475,376,844,367,080,722,982,586,112,541,743,002,126,394,445,767,757,399,159,
021,870,889,747,398,049,560,606,286,303,870,775,618,617,333,150,438,477,687,
011,144,677,876,384,122,068,406,313,932,794,303,523,621,823,940,264,398,992,
933,511,596,856,745,566,278,760,263,544,844,355,678,021,606,702,809,158,004,
190,656,576,085,063,442,815,288,134,467,079,517,490,575,810,455,103,657,301,
051,534,745,709,516,569,031,931,374,350,629,283,316,704,590,814,148,202,425,
759,612,127,820,636,118,811,186,789,498,378,747,248,637,487,731,049,607,509,
772,101,342,933,331,850,543,245,689,722,152,990,972,145,312,604,866,173,777,
392,678,615,065,684,472,195,067,641,451,258,609,982,721,378,357,338,085,940,
956,596,047,574,356,923,917,609,179,720,786,309,584,085,977,733,672,650,845,
824,384,822,303,736,044,629,888,826,704,284,396,281,675,746,039,757,000,170,
727,173,680,687,071,888,664,067,355,307,493,597,228,858,333,831,802,094,150,
335,698,228,230,143,504,409,063,610,833,784,410,088,531,734,647,029,252,577,
378,987,962,571,861,562,551,568,623,589,825,066,563,508,552,998,696,378,366,
969,356,815,130,529,996,273,653,294,084,851,738,957,067,423,825,647,643,797,
018,177,487,104,121,691,389,880,624,929,284,996,829,949,921,429,688,204,243,
197,995,433,121,137,099,853,740,082,232,441,902,645,761,547,873,989,617,813,
554,441,635,326,244,814,172,562,036,314,407,537,089,029,111,922,396,787,498,
422,221,570,471,056,186,814,457,692,546,790,957,328,156,810,587,700,642,416,
846,967,711,059,424,765,489,559,693,878,731,363,544,341,977,764,826,879,765,
966,701,240,550,572,731,318,837,491,646,610,872,362,186,300,702,378,090,632,
369,051,581,352,669,257,859,979,086,613,716,467,856,856,639,058,686,467,858,
088,843,155,146,104,352,629,873,562,072,905,402,798,208,725,757,719,864,915,
524,427,247,984,508,466,225,018,199,976,900,631,950,706,874,427,019,186,360,
845,574,782,150,369,882,649,694,779,092,364,143,176,554,226,713,710,376,922,
526,502,283,162,684,663,445,316,238,839,321,694,150,379,987,737,096,115,064,
148,661,357,217,242,835,870,769,115,689,008,633,097,281,715,404,389,078,521,
702,537,295,744,934,339,416,682,126,444,297,465,088,978,965,721,586,888,764,
455,983,968,234,246,164,848,790,455,729,557,959,205,789,557,610,865,832,909,
885,336,378,707,630,441,658,464,705,638,173,393,632,455,358,573,093,400,255,
206,887,566,260,270,883,835,846,429,344,190,252,597,915,582,436,253,009,542,
502,556,006,731,712,907,999,874,978,685,808,530,803,090,511,661,442,736,405,
045,733,990,213,360,089,728,765,102,325,297,290,319,925,198,740,602,124,729,
036,368,301,751,500,317,306,094,644,153,372,272,949,274,981,988,066,744,508,
551,488,876,682,237,573,399,067,591,208,153,441,561,956,415,552,995,183,237,
261,579,841,804,772,506,522,303,071,939,720,853,157,369,597,884,644,852,692,
054,521,899,964,099,189,019,934,875,630,203,019,747,769,890,613,909,766,218,
741,124,987,414,702,349,564,540,312,369,608,159,631,581,393,572,892,495,501,
280,119,004,628,917,024,296,840,581,148,424,766,979,650,321,394,859,461,290,
651,204,506,022,423,172,757,449,127,667,618,968,854,533,460,351,194,356,370,
000,843,633,464,967,272,630,013,475,924,756,276,331,869,301,650,217,678,806,
271,980,855,530,927,561,121,747,404,811,795,915,101,461,285,650,049,631,187,
620,376,209,413,807,310,840,252,615,994,036,760,678,325,677,819,498,954,541,
689,723,036,852,575,842,896,272,770,197,477,794,194,420,101,561,931,358,717,
446,216,760,485,773,024,586,606,103,976,450,260,021,805,824,789,586,652,990,
858,675,524,934,376,815,627,122,417,355,259,010,598,651,457,949,547,378,417,
316,864,862,540,770,652,657,072,025,466,034,948,384,488,375,012,643,426,848,
437,940,477,176,891,653,647,182,446,032,953,443,578,714,539,105,526,824,367,
938,393,637,585,323,408,602,719,612,139,040,869,359,251,435,362,942,849,895,
428,856,384,844,014,889,693,210,120,117,715,915,724,836,445,057,414,694,015,
946,998,054,494,615,282,856,084,309,235,970,978,026,014,575,524,610,893,937,
677,005,269,549,210,585,118,477,656,325,870,473,305,294,575,004,710,498,793,
250,300,207,831,884,650,838,517,698,710,678,240,751,964,402,649,419,530,724,
565,341,419,070,186,700,350,780,297,217,325,388,096,966,859,220,718,544,604,
211,414,181,927,265,649,313,766,179,111,592,418,821,917,666,082,520,603,482,
462,518,593,198,239,694,497,426,735,942,452,207,773,992,140,489,068,322,576,
372,236,475,025,285,894,609,751,342,465,876,341,060,246,647,292,630,102,057,
499,807,672,330,089,445,118,811,625,922,266,318,176,377,899,408,643,309,839,
394,274,978,938,026,342,238,567,706,542,700,209,030,945,918,859,218,892,950,
749,060,446,803,857,948,963,183,252,790,172,732,057,224,648,701,357,067,926,
003,641,106,504,147,222,364,828,970,630,662,307,166,197,917,939,215,174,471,
009,873,243,206,795,310,727,734,227,692,719,334,220,327,419,875,519,970,882,
582,826,914,814,822,700,422,058,231,077,470,675,121,842,643,335,842,929,411,
245,023,675,243,620,643,848,753,455,700,941,957,846,467,244,412,012,886,695,
990,690,741,163,795,820,873,842,659,371,487,878,820,271,231,760,140,702,591,
672,053,106,516,615,563,341,720,905,922,971,165,327,860,133,694,003,414,541,
247,140,261,414,077,277,629,810,155,756,854,412,758,583,385,447,804,361,582,
618,808,089,004,883,835,204,809,333,373,266,006,794,520,111,033,288,731,819,
639,417,539,296,490,109,034,122,448,282,011,219,492,872,080,339,038,558,385,
397,639,934,567,688,399,998,427,126,415,544,579,877,606,927,013,967,546,250,
233,586,619,503,371,317,716,021,351,170,802,707,451,820,514,204,225,138,992,
360,846,786,553,532,122,396,799,115,276,704,573,904,036,861,958,094,820,899,
386,966,621,880,834,957,407,837,583,279,377,807,023,743,462,824,212,500,354,
426,275,538,378,144,112,772,254,316,912,878,043,166,210,741,073,933,068,781,
609,301,923,517,889,134,375,199,539,607,767,228,006,148,346,349,344,817,373,
184,110,262,421,579,745,484,653,453,704,337,546,595,890,617,507,873,092,436,
737,750,368,362,182,934,588,519,842,852,204,673,475,151,628,571,446,007,593,
882,714,362,305,656,129,144,373,386,646,755,456,696,875,273,545,270,820,274,
757,546,457,023,993,239,056,174,412,027,245,800,213,636,611,285,241,769,392,
838,241,310,925,333,250,078,731,463,897,939,625,347,269,198,779,083,686,254,
036,881,441,734,971,488,652,221,778,803,377,446,967,838,609,395,803,988,850,
857,781,919,357,374,270,181,244,543,927,188,206,397,133,236,249,134,753,906,
074,020,354,465,991,881,224,164,475,407,040,524,991,911,075,748,075,693,206,
281,336,098,210,560,941,234,417,981,124,819,509,417,139,986,295,178,477,715,
855,068,573,651,158,582,099,838,724,551,902,817,159,183,254,272,238,564,964,
888,029,031,332,808,327,775,829,324,980,897,702,739,033,252,308,471,612,769,
198,321,730,709,696,991,114,529,148,315,448,219,192,528,624,424,707,107,940,
929,070,742,122,696,248,422,578,881,210,270,033,476,243,691,961,013,886,574,
926,078,949,521,289,342,563,725,326,709,505,591,763,526,619,332,642,333,926,
079,987,055,852,922,076,570,691,348,165,006,360,659,978,318,756,501,996,356,
656,073,947,709,622,037,235,319,667,645,267,864,326,102,609,132,283,036,673,
631,617,602,248,656,695,455,775,887,682,583,217,184,990,609,088,268,799,971,
555,021,413,721,757,155,856,541,270,153,993,183,924,592,389,131,602,933,721,
012,914,813,859,928,664,941,084,521,639,966,538,670,095,861,973,769,538,545,
281,488,593,864,429,578,317,982,789,231,133,800,233,050,884,551,999,363,955,
100,841,924,893,462,759,174,109,476,441,014,029,408,474,231,826,670,486,275,
282,799,459,105,200,858,593,072,987,411,736,612,762,673,976,891,457,541,807,
095,076,732,976,105,417,300,153,184,137,063,916,746,398,971,891,911,470,114,
241,522,780,550,269,159,175,494,756,346,616,493,583,123,962,226,172,457,946,
550,915,677,106,391,194,864,185,015,918,245,276,394,096,970,134,251,240,409,
984,727,771,667,248,377,941,687,986,676,423,978,647,470,795,879,272,494,992,
651,479,313,132,416,762,990,813,467,455,425,783,749,929,972,636,645,150,890,
503,933,875,468,495,547,505,039,529,485,444,781,686,293,656,772,320,908,724,
512,940,976,012,025,547,378,069,636,287,221,737,666,000,887,142,690,120,454,
744,974,996,997,611,870,685,425,988,607,373,678,970,428,051,244,042,468,944,
179,627,244,945,082,203,072,346,927,777,905,130,901,624,478,853,853,839,469,
933,121,480,104,664,337,875,950,215,049,223,872,791,784,219,556,876,907,964,
107,312,905,013,954,459,730,168,973,818,199,550,788,853,805,045,996,637,255,
571,961,521,070,402,696,954,174,075,034,791,620,795,692,973,542,096,400,324,
814,065,613,533,385,894,937,369,285,596,819,362,672,335,556,238,789,858,057,
229,997,978,475,954,999,450,799,791,902,742,133,382,198,484,758,724,387,887,
849,757,253,308,722,984,959,193,030,918,758,071,049,935,240,696,437,191,108,
805,976,785,024,565,837,061,582,752,126,755,516,200,137,926,890,555,088,119,
920,492,820,545,928,886,607,123,995,045,920,751,318,695,672,086,759,409,422,
335,632,799,291,760,408,913,360,300,000,866,140,924,182,991,548,396,453,455,
831,639,591,214,924,039,625,812,535,152,049,304,630,852,900,696,217,195,858,
935,516,747,716,494,497,548,908,117,077,916,592,508,315,647,638,191,303,129,
979,049,109,514,674,174,575,928,576,022,651,550,041,292,543,991,966,382,851,
223,451,970,151,654,714,433,120,377,318,893,668,855,125,581,402,503,213,462,
846,356,815,308,270,166,089,656,304,026,094,675,964,088,137,966,748,976,754,
568,602,071,651,040,240,993,393,038,334,010,099,792,452,899,615,037,005,198,
690,515,332,908,032,565,713,672,622,984,569,891,951,695,077,821,634,835,488,
965,957,410,085,605,782,230,032,671,096,973,890,567,397,616,404,578,545,280,
893,062,828,465,711,507,511,716,495,806,984,251,460,717,205,555,679,320,876,
738,040,574,943,983,469,826,045,922,062,803,674,619,313,238,459,979,609,455,
794,865,510,899,207,633,872,254,775,406,676,557,770,921,837,006,160,735,944,
238,989,142,636,766,880,653,874,467,981,456,059,890,576,620,944,494,909,570,
585,729,924,486,426,098,830,940,653,771,943,724,242,253,969,368,888,665,481,
664,409,746,907,552,762,569,681,778,120,374,984,710,185,395,060,696,139,667,
741,092,448,752,309,916,840,892,294,242,929,754,567,096,799,350,782,945,223,
414,308,402,021,905,844,570,617,604,824,530,385,418,413,532,994,593,804,595,
090,648,472,764,686,459,968,299,300,251,678,383,909,967,958,914,642,677,045,
239,956,316,563,678,840,497,435,666,229,857,944,586,823,637,452,074,026,318,
038,909,380,548,498,800,750,582,360,749,552,812,753,505,766,436,377,461,393,
505,998,675,162,354,309,942,813,910,238,197,457,891,331,682,719,900,883,009,
024,148,912,790,827,897,487,743,407,784,984,148,310,030,262,225,586,077,270,
740,053,774,783,783,945,446,169,627,143,811,670,695,048,363,383,146,245,975,
886,542,241,876,849,130,803,291,162,087,905,345,455,011,046,006,599,792,882,
495,505,883,748,736,892,340,392,844,785,036,945,630,810,751,487,995,571,294,
026,917,491,048,000,911,000,566,016,055,660,389,247,384,990,634,688,351,573,
339,097,183,786,232,357,795,349,002,167,687,677,031,570,155,528,162,055,567,
765,310,808,794,508,022,663,734,927,831,269,589,431,888,116,363,392,273,727,
754,278,478,951,895,251,733,552,740,861,762,465,449,961,354,224,966,851,753,
255,194,488,106,422,594,656,928,582,021,913,224,855,214,726,013,592,729,246,
495,543,308,240,670,898,598,370,393,403,642,779,913,887,342,096,852,617,624,
300,007,057,077,559,759,431,893,617,608,598,024,496,948,204,464,783,028,610,
806,835,593,072,843,006,386,085,363,538,166,993,416,127,703,372,557,505,934,
755,418,057,687,163,480,219,878,299,055,740,404,613,119,690,462,554,142,178,
189,019,935,189,130,914,523,977,950,198,695,073,529,188,713,163,717,759,688,
674,648,352,690,970,274,810,342,308,627,688,045,282,762,173,946,079,536,007,
437,367,022,045,075,628,975,038,963,329,512,528,287,973,748,927,193,537,841,
865,570,108,895,345,732,236,289,027,129,169,098,667,047,328,618,306,586,532,
580,769,612,970,944,684,743,012,739,792,366,702,677,414,551,578,433,496,609,
338,512,084,385,012,654,656,177,862,648,261,947,011,678,964,280,322,924,776,
028,242,389,153,622,982,842,443,746,715,957,758,991,554,464,288,109,705,332,
247,595,522,339,709,002,197,000,810,731,511,573,757,292,289,969,829,280,430,
064,751,614,611,270,163,063,005,758,763,861,367,315,924,855,948,337,022,036,
587,550,743,466,191,047,734,781,992,477,871,382,156,241,321,505,203,947,193,
090,015,964,750,747,728,061,327,986,916,111,000,055,458,447,107,095,848,105,
805,036,651,507,049,766,183,773,262,722,554,088,988,640,524,992,929,496,037,
795,727,238,561,216,410,734,531,748,866,948,310,290,988,813,119,612,104,220,
504,395,484,655,145,924,847,500,203,894,219,770,484,517,256,162,030,298,401,
434,663,360,626,446,298,597,360,162,079,306,175,073,353,292,293,640,142,006,
273,569,004,932,079,720,214,513,767,132,235,802,986,760,423,286,369,163,242,
735,125,627,082,438,501,046,611,599,419,798,819,784,449,053,347,227,285,068,
030,220,967,616,415,207,576,858,233,805,422,973,205,535,288,726,648,848,141,
628,814,645,621,390,472,813,371,685,217,114,171,396,328,177,682,917,408,692,
600,973,901,174,151,186,489,014,397,163,396,969,653,055,614,193,317,709,416,
009,493,276,956,477,468,771,796,364,934,474,325,790,436,751,365,458,088,013,
759,238,287,762,846,431,282,152,878,951,742,050,928,271,553,538,478,072,725,
202,037,392,814,368,571,924,082,050,634,301,105,680,865,602,126,613,486,850,
857,973,769,095,103,184,206,954,360,129,579,385,796,229,713,309,228,257,050,
213,670,892,525,531,879,630,780,957,940,050,791,699,246,608,390,602,605,762,
363,721,558,875,842,499,559,407,867,138,768,187,809,291,918,679,634,459,511,
557,187,850,049,888,368,686,212,986,441,620,511,889,265,669,306,449,982,457,
210,008,595,464,848,456,138,241,616,042,028,684,885,331,057,432,266,848,953,
791,116,746,915,709,846,088,926,156,594,194,425,174,122,811,128,941,908,436,
648,339,259,469,072,821,740,315,110,421,534,825,649,613,353,952,581,280,399,
358,568,015,362,357,469,639,304,054,867,060,863,053,910,176,875,190,442,556,
542,639,439,111,898,454,542,586,318,509,070,207,084,630,469,685,927,473,730,
052,867,926,287,595,774,015,337,420,770,329,453,505,542,564,137,433,984,134,
795,344,043,349,214,711,916,922,003,878,252,806,454,781,673,300,322,524,669,
003,228,878,630,020,249,181,231,919,854,832,624,737,127,243,238,691,814,554,
157,681,113,992,704,790,678,528,339,240,005,904,560,751,633,120,761,031,929,
485,635,213,485,815,201,262,910,301,731,000,755,882,823,919,392,729,085,589,
788,855,317,075,245,665,137,331,652,372,708,037,010,061,324,336,668,067,310,
848,546,597,949,818,774,589,823,665,038,931,498,679,162,410,532,962,767,919,
451,407,435,523,083,237,035,604,033,150,655,565,016,881,396,154,444,515,538,
653,853,178,953,823,564,964,801,933,162,159,359,676,876,572,433,554,079,183,
158,820,443,427,197,147,496,445,336,474,565,917,180,531,089,160,736,670,203,
187,019,859,990,407,289,955,021,248,501,044,576,114,508,541,415,298,269,859,
254,043,917,575,070,598,717,027,094,924,313,871,639,995,824,238,346,034,364,
197,848,711,767,905,040,155,462,328,764,315,330,734,221,882,117,192,252,162,
112,163,230,461,201,937,043,100,187,647,593,513,646,675,886,306,945,856,078,
601,895,765,739,011,328,698,812,345,024,635,882,913,647,381,274,732,934,132,
581,819,361,996,718,870,851,827,693,673,606,087,761,694,065,816,407,691,134,
126,456,338,510,343,128,027,666,436,182,962,942,726,986,942,784,132,940,819,
710,127,420,462,899,266,436,454,125,558,060,607,856,095,331,542,721,921,899,
976,586,892,523,571,773,109,429,992,418,721,289,985,919,966,917,771,765,220,
906,794,766,698,421,474,128,546,627,997,273,844,402,612,340,436,336,795,249,
235,485,382,841,732,518,876,306,697,052,295,392,037,504,590,954,374,508,163,
875,058,987,137,021,894,176,923,119,439,294,569,076,603,554,589,484,040,487,
357,900,186,295,265,787,816,870,632,118,002,299,048,955,917,416,326,991,419,
753,338,010,475,250,151,631,947,570,164,627,229,728,961,723,293,619,541,566,
998,245,940,970,412,954,106,654,095,232,105,979,180,132,047,670,974,468,366,
228,688,411,365,836,325,140,731,661,013,885,854,980,474,529,970,309,225,505,
325,713,104,197,632,935,895,820,167,717,788,888,786,547,414,167,959,646,625,
909,427,215,080,314,163,010,684,669,472,876,616,454,665,317,646,062,139,991,
850,746,119,918,946,451,860,774,759,223,946,827,353,014,244,445,639,895,152,
690,614,458,038,816,952,139,651,668,425,071,658,015,912,757,684,498,149,680,
530,352,259,626,894,760,030,287,571,914,861,767,374,512,373,265,413,855,100,
939,460,489,587,143,141,376,724,467,147,756,058,898,239,468,521,472,190,185,
559,641,083,082,093,725,424,372,567,823,601,186,286,881,694,781,125,661,492,
554,020,161,493,515,127,490,744,262,790,397,952,793,966,965,797,297,911,549,
245,507,629,997,209,737,998,319,990,513,006,038,167,852,014,065,277,109,562,
199,985,167,224,214,244,847,737,654,586,381,869,673,258,366,862,592,441,703,
682,901,645,770,989,251,062,851,893,352,453,643,535,928,687,463,366,707,260,
266,266,782,989,046,968,228,229,686,271,952,304,694,022,401,541,652,420,350,
841,037,439,496,567,179,117,628,583,954,218,912,955,634,656,128,137,338,305,
462,146,195,084,356,612,662,480,149,257,163,297,989,468,602,425,018,102,523,
646,220,252,971,790,857,206,167,697,348,831,064,889,771,843,010,878,530,521,
506,749,986,970,148,688,530,989,115,438,864,909,143,063,009,252,426,800,719,
167,532,242,733,101,605,251,563,576,090,693,711,697,619,260,360,696,542,144,
290,571,961,346,989,014,752,255,825,879,194,396,709,300,583,781,454,510,584,
110,829,695,136,006,122,727,050,315,748,911,833,045,152,309,588,024,008,170,
624,818,139,384,693,484,994,491,657,998,494,534,385,573,273,017,386,843,159,
448,971,232,032,731,570,035,232,048,899,274,318,136,511,721,254,249,240,915,
529,464,810,583,246,612,617,434,175,817,686,539,405,702,880,473,141,857,905,
540,816,620,787,214,784,253,108,191,326,554,675,202,884,852,270,019,833,232,
210,770,390,225,403,550,754,444,211,353,615,254,585,540,949,392,715,801,460,
993,574,397,280,138,601,375,043,112,353,351,052,552,370,061,617,259,013,974,
295,787,037,173,815,391,286,889,318,873,778,026,702,934,454,359,952,818,103,
638,558,514,890,027,851,959,692,971,744,207,410,493,803,756,880,606,495,571,
950,670,492,142,341,247,071,204,186,190,101,399,669,578,326,101,777,440,614,
391,757,394,722,640,845,582,007,426,698,078,531,779,688,579,147,098,595,122,
109,169,661,238,412,150,016,946,898,467,836,620,169,478,936,452,887,479,711,
059,598,665,988,707,034,357,562,774,267,188,140,927,097,715,375,290,657,781,
847,180,077,610,421,154,661,384,418,661,951,765,824,318,655,504,660,230,689,
954,534,416,412,152,886,418,444,097,044,451,175,998,787,697,607,297,376,821,
049,339,237,249,976,021,269,361,949,062,691,134,606,894,093,970,949,655,403,
338,670,521,030,883,787,086,980,844,333,956,297,848,509,515,129,486,582,430,
507,872,914,019,167,203,408,325,490,037,954,952,358,750,806,405,125,619,691,
303,270,234,697,364,750,031,017,413,762,315,706,668,779,943,207,145,092,807,
019,794,020,433,082,164,776,319,535,197,359,517,660,324,364,737,070,914,329,
295,453,298,476,244,642,533,688,959,435,058,237,555,400,063,813,698,412,442,
257,572,589,705,163,892,869,228,379,024,663,054,659,329,822,012,286,902,677,
909,949,520,364,279,340,812,767,318,834,240,559,901,310,346,903,206,654,674,
229,796,879,038,026,651,370,244,507,749,546,617,004,733,081,740,160,553,070,
038,898,574,130,201,204,981,064,857,458,005,159,630,260,246,347,163,118,681,
503,383,756,136,128,401,380,767,862,856,907,016,540,262,239,269,450,041,678,
549,897,593,485,642,277,107,765,307,029,135,206,724,395,189,392,046,972,160,
366,914,785,409,194,814,675,685,306,852,220,769,785,495,195,692,168,615,970,
307,295,267,962,316,053,710,859,071,501,189,020,872,852,302,958,936,512,445,
698,331,360,193,099,433,963,034,624,894,636,560,151,926,964,007,513,829,831,
444,468,219,786,419,679,549,921,073,312,691,792,564,685,012,880,134,514,877,
289,406,777,504,211,833,738,564,251,898,238,106,256,354,454,747,678,343,912,
527,394,659,017,860,933,505,130,332,330,434,130,933,945,798,331,678,867,657,
361,843,326,238,945,215,721,293,777,004,074,929,536,819,429,375,570,330,968,
384,107,363,119,251,910,371,551,129,224,210,791,650,559,184,232,407,058,112,
358,094,349,349,420,099,978,205,698,134,491,714,268,612,681,578,858,621,063,
509,019,194,722,831,617,729,043,669,919,023,096,250,254,353,517,793,690,155,
830,522,254,609,501,587,176,540,070,152,743,622,296,413,867,201,140,023,332,
730,328,430,459,143,436,505,110,585,035,557,038,431,610,374,760,529,143,558,
605,194,284,678,274,513,404,892,130,388,184,784,000,371,338,070,781,460,060,
867,948,775,074,933,463,525,242,857,518,545,432,199,084,251,140,690,694,523,
159,194,010,157,159,650,328,298,545,557,122,469,688,026,879,563,729,647,280,
251,154,562,098,138,667,272,058,152,668,894,698,003,579,870,193,545,698,782,
983,010,757,504,459,759,025,159,770,567,596,839,102,083,137,557,225,088,504,
983,875,744,843,220,004,472,195,186,582,680,155,627,526,825,808,444,830,847,
285,505,144,819,641,765,286,350,243,484,069,057,257,599,965,594,292,213,062,
419,048,712,258,973,065,334,527,450,734,968,284,690,181,216,062,611,042,524,
745,695,241,945,426,571,586,450,995,149,881,887,564,660,821,339,114,235,070,
775,002,766,216,864,170,113,320,263,988,666,129,054,988,641,579,424,319,665,
801,334,040,903,103,657,241,008,306,158,549,670,350,746,695,583,705,213,004,
701,557,472,640,538,984,669,708,528,820,469,226,802,239,374,096,067,305,012,
298,386,635,864,264,555,588,730,442,666,917,020,920,671,150,798,198,047,140,
615,056,679,441,412,861,346,248,808,991,196,252,665,147,667,528,378,001,811,
622,130,695,177,750,053,496,348,840,722,850,192,616,374,969,129,701,682,347,
391,560,973,176,385,970,092,901,559,325,377,594,008,008,543,428,376,009,997,
272,291,508,879,795,892,640,242,605,867,385,609,687,823,155,339,443,259,706,
174,877,594,860,856,039,610,772,915,792,414,484,190,890,425,137,260,917,329,
251,222,975,313,650,166,434,064,010,119,440,469,947,946,969,152,572,914,714,
706,205,094,154,883,242,069,166,299,159,108,233,145,187,922,807,657,266,208,
337,772,896,011,796,215,613,580,875,698,031,633,665,337,710,165,157,012,562,
804,993,847,418,181,322,018,993,891,174,646,862,934,138,061,792,110,386,665,
075,772,443,405,600,790,524,174,928,298,580,212,759,618,864,215,008,499,402,
800,641,481,084,446,319,122,082,381,047,285,593,809,985,896,502,622,531,985,
033,183,213,357,379,133,387,919,827,853,190,677,576,554,071,011,199,371,918,
928,041,525,523,778,457,779,071,924,485,257,771,857,907,386,354,451,322,191,
257,489,200,273,481,980,208,309,062,648,035,782,095,373,683,388,522,586,684,
582,453,444,297,407,126,866,903,433,037,009,180,418,835,698,089,089,415,841,
672,305,696,851,773,745,230,252,138,631,090,148,118,915,669,523,946,595,983,
921,016,205,489,048,101,443,593,004,826,763,295,495,216,632,606,969,861,139,
096,977,724,083,969,568,237,290,943,975,736,628,077,613,462,111,646,997,418,
047,205,388,272,330,033,292,153,061,559,173,970,281,896,237,675,600,445,719,
982,231,338,558,589,956,328,391,210,396,100,683,630,088,631,502,638,756,248,
206,894,763,119,297,323,951,529,395,521,627,262,308,902,228,027,618,275,387,
419,265,209,017,836,527,128,643,659,046,573,263,587,692,116,411,150,405,857,
789,838,982,308,687,363,132,670,686,954,517,112,057,781,266,685,155,751,299,
067,011,551,931,623,512,242,545,682,363,195,847,018,031,053,863,833,506,853,
355,057,038,465,714,405,177,534,097,214,093,421,050,356,053,918,493,545,280,
301,864,068,868,242,581,270,874,829,125,984,232,927,299,012,001,539,844,779,
957,352,496,146,263,398,247,412,934,029,293,221,432,038,305,371,810,127,103,
235,098,358,954,964,532,419,950,444,072,298,357,742,954,056,278,446,135,217,
854,285,905,768,581,021,560,117,985,504,667,795,772,173,661,640,309,901,217,
198,054,523,165,041,689,734,542,841,192,976,810,141,890,555,602,771,100,208,
102,372,329,984,818,526,962,414,567,105,864,155,318,041,890,106,472,808,018,
561,167,056,317,232,212,329,832,307,336,122,305,185,194,788,878,976,911,368,
112,245,383,920,740,878,646,794,314,479,310,618,726,382,424,482,628,938,966,
308,423,341,266,855,555,707,565,756,591,592,601,591,750,470,578,368,326,559,
639,103,937,524,530,358,370,387,301,457,000,351,762,098,170,747,983,291,691,
751,280,088,532,193,572,730,269,135,693,339,084,736,247,324,381,843,560,402,
972,712,908,215,640,997,996,638,039,172,500,256,836,638,087,928,919,242,394,
836,295,237,862,551,651,765,025,142,875,264,070,058,703,725,716,502,238,141,
985,844,014,695,150,083,775,341,288,018,511,596,904,133,727,571,323,069,348,
110,278,434,654,672,949,215,860,645,962,658,503,407,741,095,838,719,189,256,
970,059,862,417,907,783,429,820,776,490,520,136,922,396,494,276,566,439,652,
252,739,740,012,260,407,302,887,988,287,377,928,513,949,723,326,218,373,987,
347,383,041,811,684,063,143,088,419,270,434,768,974,363,803,636,414,964,772,
993,426,761,170,445,964,607,973,610,843,305,678,212,473,260,295,691,497,032,
690,062,933,643,069,072,199,196,226,848,057,236,381,859,798,049,861,217,339,
902,055,163,328,241,175,862,675,916,166,454,481,475,121,600,197,026,834,490,
934,559,332,323,907,929,120,890,907,712,408,430,812,153,362,654,388,234,530,
071,644,401,167,087,947,458,302,195,929,766,367,652,852,091,264,035,036,814,
206,022,503,647,925,032,456,817,050,445,181,957,635,973,787,593,898,423,147,
842,016,037,037,104,537,944,146,838,961,169,498,369,612,308,710,681,896,954,
287,229,447,259,692,169,251,015,615,576,746,951,255,726,981,672,193,350,205,
700,562,029,080,388,746,356,206,771,146,279,489,761,198,606,048,685,803,403,
678,148,225,531,500,028,528,575,034,880,967,851,650,124,103,322,074,216,996,
788,321,446,253,785,356,121,278,879,154,677,262,276,981,432,451,162,392,112,
533,507,036,258,728,833,241,251,330,052,758,812,622,386,626,802,838,167,410,
215,186,506,502,048,187,314,323,046,260,692,458,338,709,030,827,546,654,999,
061,247,930,541,005,920,958,339,021,380,426,481,760,676,727,993,981,352,957,
370,570,595,334,721,899,999,157,260,969,732,752,123,467,558,974,275,839,459,
971,717,710,903,307,356,461,333,248,653,155,301,042,571,469,902,387,951,380,
582,120,700,217,393,127,661,324,215,353,819,984,785,430,093,782,042,321,590,
972,593,874,047,738,657,884,749,197,736,162,435,279,747,764,843,193,381,457,
206,037,452,690,028,430,219,840,049,996,184,801,995,947,104,237,861,402,665,
671,623,259,637,030,405,256,122,418,002,144,866,453,190,199,734,538,723,685,
333,676,262,151,756,239,462,040,404,823,118,516,118,510,582,137,815,225,962,
925,944,186,364,389,177,336,898,298,177,688,432,853,107,335,068,909,966,288,
794,832,450,752,861,049,555,829,712,340,294,743,794,348,440,944,871,817,993,
831,075,725,393,614,757,651,666,639,945,832,297,604,619,129,378,603,855,234,
842,034,285,317,265,490,596,073,092,413,209,568,298,457,393,457,558,770,053,
085,607,240,478,829,128,240,497,518,559,012,680,045,344,677,303,138,218,315,
312,289,488,164,902,176,435,151,993,840,661,353,070,035,339,119,073,364,768,
440,857,107,762,202,148,164,581,029,332,540,056,302,535,730,193,265,352,884,
216,962,373,684,983,079,031,142,499,913,376,067,049,481,362,789,727,794,848,
527,728,984,246,745,592,326,720,577,612,867,169,721,918,947,380,489,264,186,
849,107,631,523,883,050,196,252,052,067,201,658,597,414,483,575,106,971,589,
781,466,827,183,246,587,169,273,473,158,601,157,097,668,464,223,469,500,298,
594,143,271,786,381,772,811,287,848,801,231,523,774,791,004,934,581,512,012,
082,947,771,620,627,167,257,310,739,797,494,705,425,750,129,374,903,587,113,
613,594,781,389,761,681,699,070,232,375,056,055,773,648,050,546,082,876,762,
031,753,417,425,802,575,065,478,900,022,587,873,043,597,460,449,629,398,334,
126,442,885,295,967,513,715,212,816,162,066,279,628,180,830,085,395,092,387,
141,134,018,524,658,437,459,397,240,844,182,132,915,333,735,395,705,725,811,
335,376,202,899,158,419,759,195,645,436,145,966,826,644,521,534,817,740,234,
253,675,131,073,799,697,687,614,522,807,472,580,495,372,199,142,889,852,258,
599,055,815,123,747,236,570,029,750,884,122,494,320,792,490,172,907,006,132,
083,917,058,522,205,280,104,994,946,211,039,289,770,329,212,295,338,558,810,
592,262,848,912,553,585,489,363,203,151,956,838,293,362,311,945,969,201,297,
385,051,226,009,506,121,876,810,493,899,275,477,456,245,930,867,785,166,260,
050,559,467,644,088,250,077,327,636,173,664,487,973,583,839,918,585,904,042,
669,348,651,308,755,925,889,717,561,214,963,710,079,986,087,762,092,836,084,
334,644,159,606,036,551,963,666,162,723,686,260,705,541,696,853,303,812,752,
092,576,789,161,448,819,143,803,339,069,547,675,718,552,101,662,720,515,362,
357,510,079,473,355,629,111,743,893,119,235,059,649,987,544,329,788,122,699,
833,516,539,666,715,943,425,773,051,608,074,388,089,579,027,270,903,304,215,
003,782,126,521,882,235,764,707,792,267,353,527,976,204,056,637,233,124,271,
433,604,446,893,662,033,375,709,881,101,813,392,827,309,701,819,036,061,585,
604,887,125,689,008,976,937,061,983,580,948,662,026,252,008,253,136,574,831,
497,992,126,861,322,106,262,215,832,180,045,495,835,881,248,115,733,219,755,
664,467,753,448,653,912,314,549,793,240,982,491,773,080,912,946,182,355,396,
613,087,228,632,091,653,733,348,170,145,388,408,043,403,611,973,757,741,670,
119,887,799,631,326,707,677,432,125,204,066,550,453,835,909,009,616,186,617,
929,507,258,031,676,095,652,817,271,101,252,538,265,709,786,597,206,984,562,
532,087,144,829,837,403,357,587,396,237,874,036,144,161,455,676,563,892,624,
878,147,611,082,110,866,515,453,135,407,502,026,592,664,351,589,405,732,313,
215,535,155,190,099,007,056,857,505,712,646,273,386,239,094,984,440,753,630,
451,304,750,536,778,174,364,659,301,333,751,728,679,578,935,733,729,798,107,
930,689,483,092,745,451,796,728,050,761,604,373,077,432,593,345,598,864,816,
777,275,650,510,196,464,014,382,905,560,728,375,822,964,310,594,595,624,671,
706,306,898,522,529,406,957,379,333,499,428,903,168,085,578,333,545,235,933,
857,096,996,477,888,405,414,868,244,447,053,629,857,463,579,829,436,748,475,
900,799,502,361,745,159,431,607,923,939,765,822,868,274,729,462,179,908,609,
050,601,473,078,497,934,357,033,439,631,909,988,084,740,068,301,187,990,728,
785,031,679,449,954,142,921,341,691,461,346,245,840,849,138,510,184,349,268,
890,982,491,277,648,112,947,132,208,677,526,271,012,154,054,317,701,765,541,
454,494,338,672,383,661,057,744,887,119,152,768,653,217,479,290,853,548,564,
131,617,536,224,311,646,431,894,304,784,082,063,269,436,548,494,472,867,535,
009,166,569,339,798,173,325,955,249,474,881,520,278,076,496,472,892,855,032,
225,611,004,302,621,758,086,100,195,038,023,796,133,272,563,210,901,000,478,
929,161,896,462,093,214,217,334,910,585,098,179,640,143,073,157,764,096,173,
574,230,360,567,258,221,706,454,012,843,224,798,208,481,171,844,265,069,482,
306,108,376,859,395,618,349,312,851,326,015,912,856,168,069,512,460,803,413,
890,412,515,787,187,711,659,128,640,657,827,846,365,342,413,544,883,538,086,
223,639,161,409,443,370,671,298,655,392,482,379,983,731,660,833,610,383,450,
648,302,503,809,768,496,514,490,857,652,767,838,581,287,829,208,157,942,054,
104,592,394,317,426,200,344,028,129,198,651,006,628,764,104,850,324,497,326,
253,105,413,642,216,842,910,915,506,234,944,804,022,230,312,497,756,339,443,
662,345,476,491,003,178,485,083,629,354,871,803,266,288,116,458,950,195,815,
997,718,520,383,648,568,329,506,209,628,474,097,117,422,086,912,197,240,825,
788,291,944,518,590,400,994,849,171,641,755,788,582,038,512,549,993,716,953,
348,630,841,221,174,127,380,320,527,225,009,463,998,663,684,988,734,315,968,
968,261,931,753,010,053,673,504,562,985,652,672,022,864,207,513,372,162,281,
335,073,341,058,800,634,166,888,648,259,293,134,674,426,534,726,006,753,122,
947,216,482,402,105,341,925,104,620,312,616,630,337,175,572,022,188,527,737,
173,414,507,391,750,251,280,309,917,592,910,930,906,879,182,362,287,834,848,
130,756,410,622,309,450,865,568,498,985,139,501,896,525,263,307,822,205,214,
096,645,880,987,348,090,940,675,948,795,731,600,407,470,844,890,148,079,162,
391,290,290,589,192,282,401,146,502,689,336,190,835,194,964,310,079,733,414,
034,203,783,920,568,453,509,651,556,294,761,432,907,665,969,004,587,222,773,
412,085,009,551,669,805,041,340,414,898,337,567,497,565,823,924,870,420,269,
981,470,850,148,843,340,147,249,914,321,487,079,092,900,901,444,895,484,487,
728,397,485,543,607,950,520,893,417,372,217,198,509,213,007,983,176,345,360,
123,338,612,319,669,470,914,046,595,410,227,790,985,488,545,843,253,275,257,
471,570,961,586,919,853,027,649,575,174,799,424,789,876,590,232,419,175,258,
686,388,933,939,688,971,282,148,340,329,191,896,311,783,181,172,700,359,783,
546,648,497,386,494,227,925,737,697,824,814,939,142,393,198,886,996,253,447,
288,526,973,956,280,706,282,105,030,828,027,173,032,816,449,476,404,473,287,
366,368,659,992,497,083,719,362,427,565,380,538,010,188,608,450,684,267,952,
427,882,716,555,379,894,076,482,879,641,279,718,473,894,014,614,361,871,769,
532,470,196,163,087,444,450,971,071,661,023,987,716,288,033,970,012,889,442,
647,693,956,637,690,758,962,267,186,015,480,741,018,085,113,262,858,008,162,
327,878,221,908,961,446,007,946,454,906,165,488,292,630,836,383,242,168,979,
398,596,035,491,977,448,947,895,906,541,292,463,800,296,520,796,367,405,880,
812,988,800,003,245,061,525,603,584,985,598,100,577,986,921,979,494,839,646,
883,848,711,976,380,270,133,491,862,516,013,824,203,600,927,069,849,238,891,
141,839,404,794,412,031,715,358,468,424,815,050,892,923,965,202,432,361,865,
546,605,730,795,142,187,025,537,191,001,799,219,026,431,154,158,625,372,218,
787,763,885,089,472,973,454,704,225,316,647,078,759,684,256,199,612,618,792,
103,601,105,065,305,273,024,410,307,824,063,112,239,124,306,864,144,070,157,
562,400,644,535,708,131,459,492,919,806,573,981,073,145,156,110,557,771,724,
660,946,217,433,602,866,158,854,748,273,315,047,241,765,309,185,913,728,469,
510,666,778,290,467,482,758,401,798,859,574,174,276,355,311,961,583,217,347,
874,333,621,362,767,593,937,487,527,734,587,150,433,139,809,403,775,674,224,
059,706,591,727,183,276,066,200,574,322,656,361,159,679,167,617,208,821,452,
197,075,843,794,163,648,572,067,574,465,704,172,667,159,488,576,808,675,541,
730,488,316,833,541,710,800,392,224,223,633,197,254,423,066,260,875,740,355,
951,044,319,686,135,346,834,787,558,081,135,285,595,557,483,284,441,569,486,
302,505,032,642,937,039,579,345,597,241,934,360,789,479,667,309,935,942,118,
175,070,475,254,915,151,491,466,634,952,899,119,339,548,497,254,460,304,672,
382,298,779,971,171,636,298,686,195,338,666,304,815,293,152,148,078,197,188,
231,012,315,726,925,113,972,401,426,115,161,348,665,641,510,911,322,068,211,
111,315,598,766,191,408,963,405,363,000,836,741,371,183,004,188,742,210,986,
008,895,264,104,419,860,236,539,148,949,720,494,617,865,871,072,877,126,580,
597,745,086,014,747,863,882,555,263,879,418,477,863,165,550,784,713,672,832,
958,545,902,251,722,428,809,674,845,784,033,004,855,675,983,178,651,914,593,
158,387,448,149,931,182,467,429,985,232,054,688,621,771,461,624,773,537,768,
671,487,968,559,590,300,969,021,475,871,304,720,496,305,162,182,177,160,777,
139,910,345,115,878,804,207,231,467,257,909,597,515,304,324,854,273,499,885,
211,985,215,521,774,350,187,913,441,244,909,576,426,761,963,195,718,047,748,
006,611,436,657,010,286,434,389,102,028,151,239,581,127,919,681,731,927,058,
417,222,346,278,250,423,594,626,014,705,178,574,761,471,819,821,312,068,099,
565,396,822,228,177,154,475,159,134,568,984,078,817,460,186,226,174,380,200,
083,346,041,798,453,556,518,645,845,939,849,261,590,183,481,381,408,654,343,
039,315,572,397,396,872,628,823,745,800,234,785,569,351,141,627,583,498,307,
204,200,903,477,616,246,169,991,884,875,126,246,189,266,627,210,950,124,403,
316,859,860,182,428,525,305,587,346,624,049,848,136,748,529,757,139,337,087,
572,449,150,457,189,765,197,515,209,885,248,238,813,727,832,054,079,283,711,
592,002,300,226,917,182,340,382,443,917,604,688,522,583,984,151,291,606,079,
002,171,338,586,750,837,276,047,840,667,058,869,326,219,927,931,367,919,446,
988,735,839,242,861,555,967,842,448,369,814,238,626,311,135,328,500,953,808,
564,446,641,473,576,591,000,700,836,869,990,649,610,925,898,771,917,391,650,
394,733,576,070,006,406,978,953,798,836,583,373,031,519,705,497,807,759,448,
288,846,343,432,943,706,766,226,885,930,223,837,412,146,576,453,424,975,325,
182,732,433,975,398,859,933,498,609,988,288,780,464,956,295,342,415,574,824,
352,175,152,407,132,345,923,970,279,679,885,442,351,689,185,375,568,603,446,
921,383,617,605,766,318,445,246,303,274,492,775,913,548,200,791,019,214,474,
511,680,425,312,426,578,694,388,688,933,205,637,875,454,755,183,491,452,778,
243,232,380,507,510,380,661,448,525,278,575,616,985,455,148,891,185,899,824,
249,606,711,111,486,160,903,203,565,652,053,075,162,254,475,710,667,571,274,
422,134,285,432,007,526,769,839,880,883,109,575,230,886,309,658,553,652,612,
695,983,860,203,839,624,739,712,262,990,789,408,846,981,710,487,984,216,856,
706,226,717,869,872,040,075,174,152,136,200,470,669,416,525,157,788,688,310,
982,055,185,213,783,318,952,309,578,127,938,147,435,415,426,143,829,228,763,
588,410,996,516,310,615,548,042,371,512,654,593,966,631,976,541,365,247,528,
052,553,042,324,744,665,167,592,580,397,706,033,826,837,389,818,708,020,829,
633,602,037,632,363,314,778,363,666,202,193,062,724,649,918,660,862,005,392,
948,250,949,061,480,314,450,123,554,400,020,245,565,272,434,304,384,278,919,
978,309,115,784,896,050,898,391,994,371,108,758,175,295,484,491,553,226,098,
855,195,942,367,849,929,473,588,103,551,637,338,439,017,697,459,777,451,045,
440,028,274,422,386,640,177,475,783,636,033,546,972,722,582,139,223,354,371,
710,863,972,364,503,182,168,874,650,776,631,412,874,704,225,449,174,408,812,
061,093,413,999,337,540,589,853,453,434,083,711,260,831,950,113,482,892,786,
948,882,218,291,463,496,222,017,091,248,914,648,362,987,871,426,021,955,068,
395,363,233,049,632,510,991,307,972,693,085,040,393,330,012,176,977,174,722,
847,386,656,287,062,966,044,247,806,241,686,612,738,331,118,373,104,931,052,
897,300,706,675,334,991,771,515,413,439,579,056,959,621,103,700,011,012,662,
234,294,180,557,259,120,057,097,687,803,820,872,043,047,208,051,488,840,362,
791,289,862,548,172,665,257,590,062,160,340,864,412,941,374,347,242,330,621,
201,191,584,554,373,387,961,588,741,730,781,329,699,432,435,668,793,312,717,
329,934,608,424,826,081,244,287,852,399,317,739,088,364,176,677,257,420,127,
594,736,074,726,593,340,471,948,337,363,255,578,540,379,586,027,943,957,002,
409,373,683,525,211,272,063,207,020,636,715,396,522,991,188,415,590,749,827,
895,340,734,443,275,069,461,702,191,802,682,976,388,941,398,432,588,399,020,
551,249,786,742,238,737,833,927,769,987,444,710,537,608,460,632,459,196,571,
794,412,904,558,017,974,027,688,571,110,408,069,237,098,338,314,263,490,708,
934,612,183,957,300,520,176,753,956,659,289,473,665,022,398,819,274,070,259,
660,950,947,235,101,797,817,072,866,731,597,055,826,588,075,637,871,358,737,
767,460,547,053,795,908,879,952,755,986,478,707,515,613,954,447,583,742,544,
510,099,204,291,655,204,681,309,315,700,000,134,935,616,055,351,654,236,036,
658,594,351,162,789,558,259,651,957,604,398,157,249,899,877,320,952,666,308,
798,854,901,420,032,630,538,932,035,870,487,499,509,763,508,747,177,004,099,
298,185,689,018,283,302,634,138,147,769,898,597,703,390,679,193,908,066,786,
505,899,518,800,721,059,414,703,634,887,147,342,801,444,324,699,342,975,218,
872,863,299,844,988,065,932,036,724,284,782,149,352,984,453,886,565,711,905,
569,633,521,740,295,150,013,053,086,274,780,746,383,721,817,759,433,539,358,
559,560,792,598,766,501,809,307,137,938,909,505,638,078,603,964,575,298,241,
122,225,741,327,281,112,713,013,249,471,391,849,239,897,411,645,552,279,129,
964,920,656,721,436,341,065,750,701,880,103,988,246,120,712,488,077,598,283,
163,227,162,254,877,323,344,261,074,912,505,467,485,915,196,215,950,136,599,
437,175,152,187,648,545,165,830,009,585,715,529,186,090,734,818,369,473,089,
111,659,353,155,585,306,441,249,174,330,365,852,000,326,478,113,560,980,232,
488,567,878,444,004,693,559,075,255,019,632,748,101,875,774,932,066,245,592,
224,249,982,252,418,776,886,700,956,697,491,485,390,989,626,869,839,168,560,
021,183,299,699,195,161,771,980,703,728,227,833,526,941,210,338,570,481,074,
298,777,267,087,273,297,928,979,599,855,213,009,499,104,993,720,446,597,819,
585,035,344,272,008,075,851,496,356,579,447,629,942,544,262,908,196,935,395,
457,119,066,356,329,509,205,762,941,339,783,961,828,464,541,729,811,069,114,
851,349,131,600,737,788,917,680,091,202,612,252,516,283,138,403,237,343,640,
637,142,444,409,373,916,821,981,581,550,860,323,801,565,360,264,770,384,903,
972,985,515,524,933,813,199,678,376,322,227,868,840,358,070,467,512,405,420,
445,012,184,709,174,831,147,761,999,080,636,221,352,400,316,881,020,242,973,
890,296,104,730,053,612,398,339,344,923,588,654,242,578,652,790,399,898,702,
810,165,652,403,399,282,948,921,553,481,185,586,500,689,507,082,971,828,215,
711,710,082,777,636,096,263,617,717,485,314,384,072,156,127,832,884,675,889,
857,286,322,769,782,956,446,915,522,275,381,138,716,945,350,460,019,241,574,
571,154,239,015,156,593,863,812,661,457,240,345,839,835,497,839,143,299,366,
475,122,525,185,776,344,879,677,559,364,493,789,574,025,936,674,817,719,134,
795,832,758,220,255,830,987,321,615,068,274,849,067,232,264,429,467,769,839,
178,449,770,599,860,280,777,378,086,641,788,574,912,418,849,692,255,186,470,
366,584,612,395,692,309,064,427,922,447,607,166,277,115,698,376,348,189,200,
499,655,744,702,254,668,944,125,741,738,163,012,209,575,581,576,173,849,023,
645,092,540,089,750,882,782,989,695,600,539,624,379,341,920,046,968,146,062,
895,468,809,233,800,712,157,457,912,727,839,863,392,230,922,195,714,331,169,
889,200,972,172,715,454,997,291,215,875,444,099,309,883,315,537,898,601,395,
446,973,553,925,371,394,842,713,701,772,244,981,127,384,540,473,908,689,971,
988,699,447,449,537,183,918,709,189,841,035,436,275,033,327,800,316,063,962,
525,778,611,671,711,461,276,458,358,594,924,035,719,986,896,571,207,843,901,
624,528,102,275,434,775,837,299,994,635,616,103,970,863,637,510,403,838,885,
428,022,681,948,774,954,332,154,516,949,716,589,615,370,536,682,146,169,964,
656,078,900,250,121,113,516,156,279,235,121,682,945,166,854,657,321,091,545,
815,046,465,643,475,747,597,535,330,880,603,229,990,027,631,576,205,306,847,
382,042,585,517,716,376,551,679,429,381,732,530,640,097,377,036,248,361,010,
865,160,339,816,791,891,475,962,888,567,843,885,913,870,174,422,203,074,515,
458,983,407,211,090,285,308,893,199,599,852,151,922,648,589,615,454,465,712,
633,970,176,300,797,493,363,760,034,534,161,771,069,807,375,624,644,937,822,
344,337,737,151,153,277,581,757,553,446,389,113,137,475,533,004,015,453,578,
132,320,159,933,177,622,658,330,951,122,232,669,145,840,639,050,027,112,121,
869,371,755,368,849,021,634,480,937,023,146,801,791,928,619,463,443,112,421,
075,186,169,862,194,051,635,399,516,773,423,951,870,868,519,485,430,266,619,
214,946,128,628,366,387,883,708,968,899,399,796,484,153,893,825,458,589,022,
327,101,540,780,917,039,753,388,869,565,230,559,209,132,411,353,238,787,438,
642,339,361,846,025,740,441,292,345,956,264,708,765,927,127,817,094,356,890,
478,678,442,867,572,485,614,511,695,394,327,073,065,339,759,815,803,054,973,
816,413,627,779,716,271,029,000,778,486,388,046,790,061,060,577,446,862,459,
726,322,560,374,709,307,810,626,830,076,919,961,378,910,662,621,883,611,538,
513,936,104,792,185,418,809,032,028,144,215,528,607,942,986,599,208,323,555,
643,749,241,298,756,111,449,690,789,159,228,871,099,362,224,235,978,659,027,
483,530,335,429,168,191,501,945,011,902,257,607,023,824,970,412,865,833,577,
990,318,787,175,158,166,195,177,918,169,546,969,327,568,841,629,004,179,281,
574,001,744,964,494,223,989,724,376,437,405,750,254,720,677,642,985,987,370,
966,294,954,353,357,127,568,794,658,249,637,368,079,113,861,518,691,863,477,
021,159,051,538,338,582,984,094,674,058,297,662,772,988,610,969,417,194,052,
928,987,711,933,372,747,720,338,896,886,028,270,439,969,988,438,127,375,522,
391,197,785,568,375,327,347,743,297,621,694,769,132,376,540,220,195,715,926,
637,997,657,103,032,399,164,610,080,801,159,472,535,925,952,224,087,276,857,
239,479,599,223,593,745,016,602,684,606,519,477,977,585,595,738,782,043,689,
642,571,391,183,101,988,071,225,712,594,302,050,200,899,229,079,199,931,501,
795,487,330,662,686,440,761,845,100,730,971,406,952,599,013,411,680,751,179,
064,539,567,988,546,348,898,312,504,114,545,599,161,976,381,677,460,153,632,
626,796,348,181,975,551,266,607,841,356,574,655,439,816,026,480,722,436,872,
330,753,075,158,381,174,355,058,879,090,314,608,420,959,728,422,241,819,694,
447,678,848,357,175,907,841,586,404,932,710,426,440,321,918,334,087,850,526,
306,400,753,296,871,903,458,725,871,263,783,734,300,649,070,611,959,600,523,
399,041,954,020,992,992,776,237,770,483,867,950,708,505,708,085,189,165,062,
575,348,547,833,752,452,313,184,267,979,288,669,431,015,491,063,232,429,733,
957,658,076,769,331,361,636,916,006,858,618,797,872,176,115,847,054,985,565,
172,501,052,510,600,922,591,799,474,112,326,102,843,579,108,379,247,558,085,
462,852,016,319,836,428,239,288,025,340,453,724,196,493,547,453,012,329,184,
053,291,360,855,183,272,058,152,034,328,790,095,110,315,654,019,810,516,127,
844,644,969,362,923,534,180,609,637,595,913,207,286,401,561,291,607,268,933,
627,092,908,876,158,523,198,804,843,263,954,823,996,763,324,831,952,494,856,
119,361,365,991,089,886,808,687,169,774,720,702,392,703,183,984,910,407,044,
353,493,112,243,132,419,267,132,768,664,394,856,288,534,081,585,065,871,990,
654,267,136,431,622,174,505,393,006,314,659,039,805,097,136,645,507,688,949,
941,833,768,466,598,798,682,655,825,438,757,620,436,444,454,491,138,085,738,
732,873,273,002,974,316,584,065,190,980,016,937,387,304,417,349,741,742,331,
546,986,398,505,819,621,517,190,534,335,395,575,062,888,237,004,602,581,906,
116,962,374,572,814,754,776,529,991,084,723,832,930,249,320,499,306,947,819,
130,615,949,471,132,895,758,365,484,453,194,237,647,523,751,395,808,157,230,
435,332,401,053,632,112,393,435,557,605,491,634,661,441,285,376,242,235,254,
165,207,106,264,308,228,399,047,593,259,835,556,863,236,829,374,896,971,890,
465,894,514,035,119,571,945,340,588,657,464,296,816,890,609,387,001,012,805,
402,801,895,756,193,689,614,877,649,102,046,658,644,747,826,286,345,727,364,
657,654,837,177,180,893,768,373,344,740,523,349,090,632,028,778,310,477,666,
170,162,584,425,199,630,948,826,144,576,162,736,115,373,814,615,265,887,181,
488,335,687,889,894,859,608,812,546,498,984,470,008,785,334,821,095,497,956,
782,951,517,202,024,158,732,691,355,753,770,777,451,433,799,819,588,961,447,
265,013,096,880,999,271,840,173,432,484,621,022,946,357,830,517,465,275,333,
883,197,160,640,809,890,745,165,559,349,373,678,447,848,301,088,572,525,827,
569,598,145,437,635,835,227,623,688,640,650,487,795,926,998,248,234,985,941,
634,798,805,155,235,241,423,356,597,239,490,982,040,662,437,103,282,204,809,
307,575,181,499,533,950,923,976,182,392,194,075,667,533,030,708,682,494,075,
801,362,227,336,392,734,053,194,435,086,454,521,402,610,364,685,168,994,914,
124,272,932,464,609,817,968,699,225,044,533,299,152,789,489,604,185,705,138,
428,148,240,896,349,859,883,138,159,335,085,084,325,768,710,390,650,854,665,
661,034,125,823,445,092,277,310,132,318,910,406,198,837,894,234,010,441,230,
670,011,972,682,228,604,904,975,483,754,708,078,679,251,552,859,387,644,822,
617,910,401,595,782,576,031,628,077,457,791,238,284,045,185,491,409,531,424,
597,480,325,994,773,558,117,316,395,708,885,051,530,250,586,075,961,440,147,
414,400,445,215,640,710,910,745,609,928,288,507,206,772,009,781,109,842,113,
887,753,570,527,577,752,177,548,192,719,660,006,680,056,903,755,359,703,791,
443,645,336,538,771,378,319,379,028,557,637,743,086,984,818,530,862,640,260,
163,024,145,485,405,314,459,839,909,360,445,749,283,544,005,848,311,501,278,
205,401,756,026,164,641,460,906,840,217,478,518,902,768,445,483,942,097,047,
642,422,884,351,080,134,145,356,604,647,027,879,582,777,157,554,279,185,865,
616,702,095,128,353,529,271,509,788,331,583,472,867,345,647,595,713,046,169,
296,395,703,722,275,354,674,885,143,715,037,210,994,309,814,965,104,681,053,
800,842,972,112,474,795,273,829,273,631,098,787,672,877,256,144,783,455,111,
527,322,950,259,066,615,664,147,894,776,238,722,708,650,858,266,874,072,427,
571,501,879,911,026,959,197,637,897,348,629,902,699,087,581,653,361,906,088,
925,412,056,661,347,530,695,599,236,838,321,572,674,192,143,902,303,145,712,
896,656,928,973,438,193,050,848,178,406,366,589,336,046,014,002,778,066,749,
813,655,665,316,377,077,327,879,962,520,999,314,916,005,158,048,187,241,664,
325,883,428,506,585,503,580,804,128,699,522,849,785,246,676,133,904,585,841,
916,866,491,408,236,109,666,059,373,695,037,607,565,751,030,640,464,368,506,
209,151,103,277,484,863,711,393,833,764,691,342,707,917,357,948,799,117,842,
340,869,753,219,263,002,596,200,556,097,772,144,960,221,162,021,479,379,593,
546,801,781,710,838,476,343,146,933,278,422,333,029,929,823,695,154,494,973,
771,950,854,921,459,521,630,184,462,459,517,455,683,342,398,977,980,166,664,
099,799,305,227,077,085,640,062,816,307,448,723,546,255,296,844,787,154,682,
379,586,389,012,146,376,433,743,941,499,681,541,153,358,641,434,494,644,319,
644,473,358,485,912,634,828,472,457,350,200,103,587,190,736,398,036,950,965,
057,957,156,815,710,357,354,633,962,283,599,959,561,797,577,271,869,659,141,
808,277,613,667,861,992,635,732,838,585,485,049,748,347,126,986,124,999,352,
335,999,295,010,959,005,853,327,404,910,467,745,869,902,733,329,380,973,900,
769,897,225,437,711,715,654,192,400,048,882,052,016,703,045,337,389,093,284,
739,681,797,599,290,239,725,586,572,058,480,985,723,016,552,143,027,001,765,
755,326,849,291,945,493,652,936,737,146,972,982,218,249,464,866,283,856,590,
859,766,768,392,262,896,325,598,027,708,691,035,513,165,260,901,112,048,913,
394,840,399,762,013,035,512,305,504,079,830,965,916,586,502,910,434,402,726,
862,445,865,655,206,540,918,888,531,459,782,102,707,790,544,674,784,297,062,
962,782,210,185,636,593,916,277,022,603,323,584,640,211,870,877,593,055,845,
518,758,316,225,655,679,297,104,991,126,116,047,560,422,270,406,668,684,327,
971,656,966,482,043,578,231,505,557,555,674,507,075,606,805,655,434,661,076,
587,025,653,122,065,118,012,179,959,351,132,416,535,513,260,660,614,503,519,
351,874,099,090,934,254,680,706,545,033,579,236,782,720,113,925,080,992,084,
367,389,373,529,214,994,073,234,739,388,361,709,371,345,560,328,043,073,862,
377,987,248,660,220,971,495,593,315,182,277,604,745,785,882,182,628,856,984,
483,335,272,971,691,474,131,301,156,612,653,982,408,081,648,507,978,183,743,
758,975,881,599,978,931,630,027,791,982,035,713,217,460,813,540,326,583,275,
482,881,852,088,426,509,680,972,516,651,825,274,029,063,537,112,707,145,017,
811,346,349,139,588,239,503,773,191,858,711,212,323,203,479,515,941,061,369,
682,060,530,178,984,635,761,155,705,703,928,209,002,516,447,437,820,989,128,
184,462,606,890,195,558,689,251,729,275,747,210,911,634,584,320,141,669,027,
331,358,403,622,996,515,041,606,779,126,655,909,029,603,228,430,058,386,109,
383,834,727,808,885,271,734,113,045,591,374,647,068,148,076,628,617,080,419,
936,407,041,453,962,154,890,400,936,206,475,402,818,890,475,647,713,150,863,
042,221,514,085,524,959,926,775,699,301,055,345,583,686,780,369,824,947,233,
821,170,513,898,868,320,094,926,784,826,921,686,202,740,409,205,247,317,108,
123,576,003,081,492,852,204,225,376,769,815,307,742,167,638,912,274,602,393,
893,541,326,278,146,496,471,405,478,484,388,927,763,095,264,706,092,028,134,
779,510,899,629,148,300,696,772,230,010,737,144,139,998,624,450,436,574,801,
204,795,316,164,933,581,412,507,847,138,497,462,850,050,464,931,659,810,635,
409,654,472,612,174,561,913,747,169,195,124,781,436,558,364,017,009,474,352,
020,455,775,617,793,379,310,559,780,770,047,753,492,459,325,717,870,614,210,
772,802,844,344,537,732,047,932,805,549,635,512,788,991,715,095,997,263,673,
828,935,062,026,247,164,499,681,370,732,367,191,328,461,885,557,960,964,252,
284,808,331,820,246,486,438,830,765,334,114,837,042,648,289,167,788,818,170,
704,892,805,823,395,043,494,446,007,332,530,935,687,758,478,192,756,604,483,
433,165,114,199,703,550,218,931,366,923,749,372,073,576,225,188,434,371,563,
286,196,957,749,481,418,659,115,126,685,720,731,685,807,568,581,506,129,973,
863,474,924,756,386,219,657,418,100,274,420,453,674,663,177,797,958,164,699,
193,707,918,036,053,842,484,684,931,236,965,462,447,739,906,091,057,571,333,
972,708,454,436,261,285,120,011,127,316,415,392,214,383,746,762,741,428,372,
095,293,946,934,290,580,255,537,969,703,978,565,378,447,456,022,575,176,309,
318,770,742,349,693,915,213,491,109,542,038,672,479,426,866,994,812,770,905,
848,168,779,612,187,520,608,383,927,084,066,974,246,696,335,988,617,611,408,
053,575,276,044,974,318,424,457,329,860,892,208,944,638,680,925,377,639,610,
455,481,539,871,633,856,346,454,004,344,312,947,828,974,805,955,915,150,035,
809,159,226,051,561,476,432,584,285,828,941,702,521,166,322,366,064,779,129,
070,373,084,360,773,957,281,097,240,175,844,834,317,813,244,073,435,763,141,
392,569,047,327,584,642,857,255,428,127,557,286,817,047,208,090,442,662,334,
631,043,812,229,182,857,764,236,847,191,088,440,808,839,796,622,235,931,493,
498,863,695,717,148,824,032,578,491,886,291,389,058,168,173,215,569,553,535,
546,187,446,660,616,278,752,014,968,722,423,398,331,018,438,928,301,972,042,
739,671,219,037,968,104,537,024,527,174,926,768,087,055,248,813,264,825,493,
624,978,082,028,743,338,455,792,063,042,177,878,050,130,739,047,333,866,378,
980,878,496,903,863,672,241,552,509,045,170,327,583,775,751,670,787,182,230,
476,862,697,794,682,775,879,718,466,954,878,881,976,755,044,207,785,925,841,
599,447,829,918,501,697,511,807,909,824,715,338,408,513,243,641,744,609,997,
529,640,367,178,682,266,805,379,063,926,012,828,145,099,860,679,448,957,378,
577,944,451,225,580,566,528,085,207,997,815,761,277,893,115,565,801,672,919,
432,241,892,810,069,848,241,570,051,834,945,165,707,962,605,093,490,434,571,
940,143,598,736,160,418,095,626,235,635,784,229,360,719,281,884,959,673,537,
920,339,911,400,539,606,950,111,337,146,432,309,069,173,476,683,401,016,558,
218,306,586,649,778,812,280,644,406,072,207,199,498,416,731,292,041,686,507,
272,909,964,953,011,851,003,396,088,321,510,094,926,282,676,254,335,013,910,
674,923,920,534,157,804,867,169,781,727,490,266,849,739,159,119,178,238,579,
366,638,641,803,398,099,954,937,462,096,282,122,269,418,156,323,139,603,666,
998,249,667,755,382,254,369,899,651,187,823,801,213,314,658,601,225,242,353,
051,168,847,647,404,581,495,126,375,549,039,014,419,642,252,558,966,519,340,
875,293,345,346,197,765,934,279,838,375,300,865,632,890,110,469,513,250,229,
313,991,666,219,869,716,391,406,604,564,560,277,354,932,274,772,328,054,060,
370,021,378,111,018,175,875,572,285,095,147,021,278,754,036,475,459,477,004,
545,442,332,189,573,245,838,851,261,487,025,081,802,160,975,846,624,233,024,
540,802,535,875,906,867,531,389,617,557,815,990,661,952,710,641,055,963,755,
411,642,514,105,778,461,834,802,014,109,053,899,417,811,332,749,137,353,916,
919,411,341,606,861,923,402,209,197,270,119,835,313,512,780,023,826,528,010,
972,473,164,296,121,565,554,936,108,933,862,786,178,021,041,030,228,821,735,
387,182,961,364,249,222,084,475,752,744,112,935,869,907,506,326,208,487,915,
130,935,570,303,711,834,055,262,458,368,096,895,006,118,595,363,546,811,883,
245,688,836,761,473,835,793,463,251,031,564,492,206,953,563,680,302,599,708,
431,611,196,137,417,042,749,726,660,203,680,737,068,724,284,094,556,814,094,
142,164,639,461,946,120,393,902,198,805,189,953,894,889,103,819,344,058,321,
679,408,520,408,350,366,771,404,133,751,862,796,048,519,828,095,151,014,434,
842,969,490,768,261,483,382,463,745,977,515,536,205,268,402,576,838,757,922,
850,753,713,143,495,119,819,272,045,499,610,667,657,000,891,184,431,192,178,
496,665,422,175,617,088,237,871,509,977,882,497,917,396,405,198,092,926,635,
946,342,681,146,438,333,175,664,040,347,420,136,908,437,254,288,001,920,406,
519,541,302,149,124,359,526,371,453,797,138,196,891,234,910,278,287,115,425,
018,802,093,579,122,142,486,581,903,313,068,474,005,517,356,048,233,617,056,
941,771,837,000,439,194,903,887,818,115,928,537,812,344,501,412,296,712,726,
819,218,814,505,830,943,745,035,514,417,507,895,329,245,628,043,270,143,836,
474,779,590,894,791,794,110,142,342,422,678,521,618,736,947,253,728,616,600,
286,927,847,294,587,262,270,006,448,184,850,277,956,769,767,588,458,209,210,
758,654,161,774,563,052,360,432,430,831,127,021,968,326,959,757,051,001,144,
504,525,529,725,452,757,211,302,265,853,308,988,941,859,335,652,151,152,278,
010,833,188,269,633,219,354,269,785,241,356,895,027,399,873,624,077,270,282,
782,114,699,260,856,365,350,200,718,145,824,678,281,445,193,621,753,910,488,
745,983,472,072,987,268,497,427,530,502,649,594,818,499,623,116,199,931,079,
260,407,791,743,006,820,521,406,636,686,620,559,487,264,225,869,949,389,681,
873,749,469,028,516,950,879,308,807,004,590,207,847,389,509,749,881,735,671,
021,547,714,754,742,514,262,367,959,658,770,859,241,978,689,302,496,299,724,
400,146,817,840,673,646,745,620,909,804,628,133,916,355,438,869,607,881,474,
374,976,916,389,136,081,120,992,518,319,446,582,774,313,774,759,149,739,660,
009,271,781,985,882,989,482,419,837,636,436,289,714,283,206,143,545,637,112,
572,069,279,862,322,838,222,352,562,580,361,350,922,210,131,188,204,582,058,
147,402,382,757,763,087,070,580,991,152,813,426,501,573,835,993,869,944,809,
419,506,178,047,738,573,622,719,913,021,177,821,644,177,770,005,140,615,036,
283,477,840,704,099,889,370,223,982,194,011,840,126,556,542,719,185,968,606,
240,293,385,272,979,891,067,546,348,280,583,512,191,218,849,101,954,662,316,
920,706,209,043,291,684,929,253,600,756,724,147,760,189,885,058,406,435,992,
296,384,759,183,937,561,708,214,312,934,189,518,640,161,985,886,970,939,618,
009,979,741,528,493,025,719,692,268,001,201,852,720,310,115,342,900,662,330,
656,228,857,857,082,361,935,278,651,609,768,615,204,801,365,784,227,843,717,
736,269,110,502,323,302,290,405,038,709,802,382,172,175,919,118,400,362,368,
396,033,349,673,337,277,382,536,183,956,161,531,477,553,466,660,290,259,839,
880,840,035,869,641,334,140,727,074,148,601,546,363,505,626,917,965,050,368,
660,020,536,280,021,393,761,660,770,064,182,218,483,355,544,729,687,148,385,
252,336,915,145,873,730,384,941,934,908,372,465,558,812,070,982,607,058,106,
662,549,064,822,046,147,634,229,072,569,494,399,832,835,732,916,374,540,955,
798,291,374,983,742,101,353,278,916,677,241,971,088,317,911,806,182,757,295,
249,348,149,285,902,985,243,834,307,593,461,574,111,463,567,398,124,565,310,
050,522,526,172,503,682,586,296,116,781,424,358,543,431,090,273,725,831,428,
861,385,754,943,038,415,296,490,987,684,292,596,698,856,865,077,544,998,883,
016,370,355,396,285,233,859,516,957,196,346,023,479,065,370,956,908,352,148,
280,370,552,490,851,763,661,581,358,206,375,321,664,000,597,271,219,451,321,
739,611,053,118,039,550,233,158,990,813,800,660,442,096,705,983,920,939,996,
026,065,618,788,052,120,824,692,672,082,169,177,607,376,736,288,461,117,279,
994,540,623,860,968,006,517,818,102,686,279,217,582,427,017,304,079,856,684,
019,030,679,717,585,086,747,081,665,379,762,141,821,288,192,894,093,106,584,
808,323,824,468,115,024,108,804,138,324,409,078,189,548,381,941,717,181,433,
175,733,344,040,396,664,262,480,614,498,922,746,760,337,332,220,817,830,535,
710,900,559,779,387,279,764,483,006,446,798,346,750,734,217,702,757,761,711,
390,210,229,823,000,702,553,489,115,679,341,316,071,009,871,124,464,059,943,
412,084,005,850,974,712,452,027,790,091,904,063,404,479,638,090,115,585,957,
976,145,723,166,277,782,646,305,689,105,088,352,651,513,954,169,164,865,862,
037,196,366,849,732,221,838,587,194,006,523,630,408,748,268,440,893,307,756,
960,245,262,553,106,404,039,343,122,908,488,059,774,378,640,338,517,273,275,
072,851,930,945,140,078,778,720,423,859,808,266,942,459,474,181,725,676,981,
043,582,736,111,689,509,487,693,980,173,970,010,653,050,865,011,930,416,079,
445,616,085,749,177,899,907,867,273,978,965,445,171,746,027,025,852,408,194,
588,611,387,644,559,225,485,182,056,050,392,212,094,152,083,818,840,074,755,
340,636,688,061,413,907,441,760,201,505,952,837,812,087,033,784,842,049,146,
555,228,882,476,255,845,085,315,515,686,791,940,187,353,338,685,933,708,302,
389,684,612,786,158,914,691,016,027,680,565,251,928,938,828,844,343,202,035,
389,007,653,299,186,152,051,647,424,418,428,772,436,500,681,949,283,747,560,
760,260,016,877,715,095,189,593,384,377,847,996,313,021,264,434,346,000,209,
617,837,850,539,855,476,240,300,410,882,045,749,764,559,292,969,839,592,035,
946,746,199,569,582,959,129,581,658,125,469,684,982,188,891,177,804,834,230,
830,203,903,479,898,569,454,042,885,571,325,151,785,748,826,839,989,842,535,
759,470,833,082,219,695,381,347,468,622,416,696,353,043,521,101,328,517,938,
582,237,512,754,657,327,729,673,669,708,628,037,101,615,847,023,569,318,938,
461,233,572,599,407,947,715,939,353,040,459,919,951,119,401,915,899,867,951,
686,335,155,302,464,442,195,172,487,618,103,502,682,798,167,834,268,710,638,
202,788,461,836,896,111,858,680,701,127,012,047,071,549,256,373,451,877,425,
342,976,879,626,625,033,753,315,796,059,202,177,954,130,131,280,378,608,092,
808,265,052,143,233,603,977,062,846,264,561,475,023,224,874,760,939,721,348,
461,756,930,597,303,467,541,354,683,576,096,752,510,581,266,043,434,408,924,
539,510,507,630,476,049,102,602,130,817,737,176,001,805,867,963,657,589,016,
296,399,514,730,760,907,352,976,034,911,035,071,103,128,936,925,719,613,469,
115,461,232,453,085,186,155,074,205,850,212,135,173,965,799,401,386,947,400,
982,935,544,020,326,346,744,036,656,577,462,322,993,718,177,082,855,525,622,
565,954,832,615,656,285,647,576,261,126,905,015,893,097,774,654,686,790,082,
030,888,809,919,184,272,518,679,841,616,619,542,398,867,693,422,749,634,986,
216,063,766,652,433,740,991,054,603,879,248,104,767,392,050,907,624,567,951,
329,021,738,453,193,060,314,021,911,370,615,264,318,616,035,706,448,922,844,
407,411,893,878,111,240,540,380,508,050,925,574,317,184,325,439,267,866,124,
743,591,940,245,319,622,797,446,576,728,428,547,616,326,046,397,144,392,200,
666,935,787,020,147,124,855,683,421,005,568,004,657,784,122,943,340,992,920,
972,090,993,739,869,987,849,351,302,743,958,473,879,759,223,311,023,665,055,
978,153,937,757,196,313,305,368,129,821,556,022,811,943,998,167,733,772,088,
065,242,009,832,566,077,678,622,385,347,341,523,258,648,055,077,348,615,451,
101,955,451,202,719,997,498,636,510,618,684,246,091,767,795,954,980,235,458,
203,753,947,936,984,523,187,673,928,854,581,947,414,999,310,089,211,862,187,
667,602,722,878,348,239,954,044,710,197,253,016,820,551,495,461,969,042,965,
834,675,612,041,652,910,487,750,349,345,411,921,777,914,475,021,583,386,023,
199,482,904,380,258,250,717,117,180,358,937,852,761,047,255,067,754,866,901,
508,158,716,042,675,422,030,778,354,473,901,384,823,515,347,639,381,216,649,
887,262,423,347,303,104,552,997,112,887,568,626,421,445,125,477,643,060,883,
831,950,042,384,275,491,235,768,940,220,736,380,987,447,691,035,875,770,139,
044,318,292,629,376,697,115,145,765,610,679,339,300,451,282,247,056,079,626,
517,565,716,187,648,212,066,019,657,458,968,144,067,987,430,031,354,035,869,
280,581,667,160,057,510,388,373,615,252,176,280,307,685,553,898,152,988,360,
632,470,966,116,736,086,115,557,266,459,184,233,480,339,816,355,986,002,940,
097,034,685,000,075,096,668,066,845,561,745,982,602,230,877,282,343,394,119,
799,115,302,047,906,493,943,396,793,144,945,030,919,639,043,690,600,216,935,
332,389,531,346,188,692,788,083,701,169,970,473,492,113,996,215,806,993,403,
336,171,194,183,524,993,929,622,457,134,255,378,054,075,115,934,612,253,408,
300,643,759,934,147,487,064,699,288,765,439,867,292,432,360,646,910,178,921,
196,146,309,897,285,894,949,955,072,381,809,603,597,619,909,189,265,751,114,
195,176,451,104,974,938,588,033,514,559,939,542,056,622,464,496,362,842,097,
899,726,487,210,533,963,824,464,161,721,282,738,750,769,779,270,197,870,096,
263,771,899,259,298,429,536,871,142,306,719,962,119,276,182,503,836,563,009,
546,519,755,661,090,641,690,374,466,045,196,559,438,537,998,290,348,432,358,
900,797,692,540,145,734,448,462,453,868,565,402,280,190,086,526,953,583,468,
055,553,391,904,267,596,055,903,398,937,788,894,764,390,247,549,848,895,014,
763,443,658,352,591,505,850,139,540,532,912,423,943,010,648,454,956,605,726,
605,021,025,146,349,795,492,925,006,316,809,952,024,865,154,681,798,264,296,
023,535,183,451,926,513,414,030,869,619,414,188,467,958,847,048,999,933,295,
098,356,281,993,152,365,552,597,395,531,443,818,161,735,793,876,382,359,062,
733,028,936,055,840,868,337,219,116,301,316,079,023,260,402,904,574,110,801,
243,339,641,931,369,231,808,623,162,406,408,400,363,468,542,125,111,744,931,
276,615,885,700,599,257,955,549,589,453,271,063,057,730,324,060,657,806,771,
391,918,902,616,857,998,700,382,754,452,017,320,605,445,438,474,136,333,299,
082,494,943,279,232,446,175,378,794,260,122,632,108,889,494,585,047,036,503,
448,480,670,014,681,805,313,683,327,221,567,194,388,036,510,438,115,825,190,
398,909,608,995,269,282,710,572,205,413,226,352,759,712,172,720,903,262,907,
517,770,153,582,750,590,734,095,003,371,124,625,608,140,178,968,905,468,483,
899,581,814,679,616,613,909,608,729,103,817,003,274,952,384,173,196,885,911,
036,283,223,994,382,670,965,196,233,145,281,617,959,388,548,690,426,964,614,
902,267,186,864,488,595,895,708,832,387,826,672,898,598,207,468,947,565,847,
347,799,894,687,173,104,822,169,070,403,120,064,583,201,905,422,831,774,180,
934,546,724,997,477,359,602,014,573,192,754,794,912,130,360,213,389,966,564,
805,103,128,929,777,890,040,446,389,026,900,047,058,338,587,517,292,830,749,
286,584,716,853,879,225,468,250,438,460,208,721,074,533,809,750,974,565,359,
756,814,953,774,112,465,102,077,445,871,964,616,586,617,589,173,991,563,824,
506,900,737,211,558,127,961,190,151,240,296,366,805,890,265,536,831,324,598,
363,015,691,136,969,903,537,318,072,358,982,826,180,373,883,568,626,475,996,
182,331,795,627,763,618,487,529,719,663,973,381,621,593,711,924,040,735,710,
157,775,523,492,364,312,965,093,317,525,436,317,124,566,178,542,107,226,877,
414,477,499,008,689,354,062,882,887,893,128,626,501,972,559,062,989,705,530,
063,976,439,952,801,804,878,358,234,464,181,735,480,805,913,031,810,759,011,
445,280,521,221,799,379,420,242,935,040,737,560,358,184,420,414,058,695,912,
157,275,595,554,794,429,190,888,646,375,213,596,039,672,749,189,606,861,456,
849,120,231,207,058,666,911,294,455,312,873,708,988,451,303,083,766,338,257,
074,450,629,722,220,436,453,103,086,839,086,978,834,674,787,848,074,508,446,
063,484,787,039,288,659,974,721,305,410,083,762,524,249,094,750,286,662,724,
768,059,684,975,931,725,202,458,473,673,641,061,578,660,897,733,715,520,423,
882,671,182,551,370,731,218,405,552,484,376,110,633,204,115,562,044,604,836,
664,888,148,466,865,787,984,633,512,462,932,334,041,861,750,069,439,135,027,
624,279,763,472,447,679,958,096,800,397,016,294,505,590,088,875,507,243,316,
584,746,259,142,031,594,251,896,821,997,130,305,250,983,140,888,244,039,706,
355,591,124,857,811,896,598,722,928,184,065,875,853,437,272,410,266,334,705,
908,084,181,915,508,993,342,524,695,938,311,801,730,249,698,676,301,934,910,
916,440,925,697,779,028,176,946,847,804,504,752,473,007,520,153,050,329,795,
164,066,037,682,245,312,385,295,043,740,360,574,778,712,275,205,951,467,329,
935,272,871,469,026,857,735,202,715,533,210,942,576,099,733,570,065,250,896,
304,685,243,247,567,808,209,504,517,809,054,158,927,874,637,517,151,624,269,
837,878,547,812,874,311,954,497,893,277,847,577,442,750,914,531,198,083,007,
664,569,288,754,324,507,997,947,004,318,567,069,647,085,775,237,286,166,127,
154,925,822,021,695,238,178,571,300,828,588,372,815,043,305,422,058,906,561,
476,045,572,147,110,470,743,837,459,948,594,765,863,697,098,084,027,261,627,
841,867,629,305,340,343,067,544,832,576,529,124,867,047,099,149,952,326,018,
123,489,023,239,913,920,667,827,468,397,232,667,870,591,188,901,074,553,632,
501,345,695,546,616,473,625,844,022,273,911,642,347,620,457,932,912,043,608,
802,848,734,276,751,334,245,592,707,719,265,520,717,727,638,982,253,180,766,
185,441,891,269,375,000,722,601,417,712,250,352,248,435,350,758,829,509,478,
074,184,588,440,329,357,796,832,250,598,904,427,864,241,019,276,560,016,534,
111,379,136,770,230,368,310,837,289,714,905,428,117,785,989,280,098,723,229,
449,666,032,509,415,664,752,727,059,465,976,735,219,275,774,901,790,448,362,
614,789,455,733,961,835,905,805,664,716,714,735,525,302,011,841,695,733,549,
284,376,173,259,311,516,176,937,877,077,747,210,906,710,862,317,555,507,478,
810,723,387,523,421,969,543,080,238,061,222,434,831,582,072,232,116,633,232,
651,065,144,922,489,216,365,527,430,722,114,165,188,358,029,926,844,594,647,
824,610,920,223,004,093,667,423,739,867,638,101,078,118,774,453,988,401,565,
061,981,258,864,539,787,000,191,695,885,749,857,352,244,423,662,250,653,470,
855,442,185,978,719,749,505,159,023,597,371,626,156,962,268,357,319,472,797,
159,757,733,675,961,103,736,030,741,432,578,904,598,910,775,775,387,253,942,
444,419,556,510,989,521,795,840,511,028,980,129,223,768,416,072,239,918,319,
948,633,805,162,390,932,442,275,903,046,374,359,759,870,572,931,712,866,969,
475,164,220,513,092,102,478,584,824,639,527,166,382,140,933,324,624,931,480,
460,055,154,945,659,581,422,258,654,513,816,708,103,218,491,329,150,903,257,
871,966,966,307,274,951,768,943,138,763,237,121,780,240,538,076,298,799,902,
371,398,000,665,573,787,455,503,003,697,007,627,736,021,051,102,153,087,335,
945,509,115,501,667,732,293,756,201,285,125,817,008,342,523,345,615,411,172,
953,119,065,818,046,573,361,494,820,146,670,962,706,741,474,413,097,355,535,
276,787,103,296,416,548,973,196,593,277,441,914,614,168,832,348,413,829,266,
404,071,379,843,781,402,018,981,340,573,016,984,120,064,898,069,585,248,351,
788,882,741,711,837,118,068,726,488,829,380,399,991,241,655,279,893,201,846,
535,830,173,014,995,433,815,046,370,355,171,365,930,343,515,426,500,951,304,
865,702,470,156,496,370,981,929,686,429,740,382,804,649,834,871,957,501,418,
332,248,243,096,505,159,648,238,120,564,653,592,242,873,319,749,959,706,453,
713,288,010,380,279,422,956,541,643,914,220,912,226,056,317,302,777,036,075,
972,171,963,397,747,001,680,163,494,410,878,910,916,951,823,160,643,228,310,
826,827,235,720,231,904,540,481,890,009,308,051,127,175,791,127,005,037,662,
367,073,682,161,298,787,117,072,746,563,572,579,832,232,545,260,422,767,537,
889,150,705,282,813,016,840,905,438,893,186,606,759,160,868,714,666,183,553,
667,496,254,387,787,075,770,431,171,111,521,396,253,966,905,814,840,222,524,
003,902,778,248,616,595,075,734,419,848,814,809,490,859,575,587,288,804,210,
909,392,014,602,226,147,800,971,474,501,610,225,819,991,346,295,504,750,284,
161,533,644,484,323,872,158,767,743,483,254,370,973,864,817,757,609,479,704,
337,714,893,899,003,343,546,397,848,748,095,990,776,150,755,975,805,011,297,
455,980,985,942,638,655,168,490,652,940,007,325,527,203,683,525,073,919,509,
728,802,958,681,663,532,609,251,157,603,566,570,099,514,013,061,528,337,875,
175,455,067,347,683,733,036,105,481,663,485,670,346,304,359,119,654,589,036,
148,954,096,498,016,772,015,782,019,124,066,463,040,138,070,031,469,798,757,
547,585,722,401,101,339,413,447,649,075,949,707,377,303,334,497,223,347,398,
027,246,210,174,077,434,407,712,956,987,428,743,491,029,241,932,555,122,770,
504,042,519,271,766,710,780,789,252,139,562,106,759,712,413,629,292,617,982,
776,186,048,033,297,271,809,263,622,068,715,137,555,680,393,005,920,147,856,
367,918,198,941,168,880,177,953,162,311,152,929,638,016,728,846,978,696,046,
621,063,633,258,087,783,568,145,997,457,081,460,389,433,627,929,267,284,612,
147,781,573,886,103,834,072,357,667,349,020,159,458,695,253,195,846,288,148,
624,053,544,372,996,073,125,467,098,486,129,859,584,408,242,190,803,024,018,
093,987,637,364,406,442,654,196,994,792,538,753,992,849,758,899,762,969,263,
849,477,834,649,734,200,920,043,593,110,515,839,049,115,440,475,073,291,419,
518,052,605,200,878,949,546,839,528,987,469,625,260,360,098,396,006,212,443,
718,296,891,771,657,757,839,309,577,038,584,750,923,607,772,198,103,471,955,
366,058,265,970,871,440,967,991,626,148,798,944,874,184,142,738,519,097,962,
321,259,556,797,960,170,270,022,942,892,357,019,110,603,740,259,662,095,784,
682,011,976,362,039,306,705,032,825,609,875,787,765,187,877,082,541,082,417,
782,647,201,537,684,874,932,928,663,963,136,362,438,316,414,210,901,714,944,
169,207,499,128,598,431,089,646,482,957,655,378,439,974,650,441,457,636,321,
586,311,434,116,203,130,759,652,029,242,796,342,036,398,622,866,758,322,505,
778,928,101,576,346,715,087,422,511,449,110,993,266,947,713,171,631,509,144,
566,157,206,202,307,871,962,596,192,505,504,670,915,997,056,607,168,256,869,
477,133,901,166,585,749,866,550,377,298,927,135,209,950,534,569,063,390,349,
355,774,293,686,853,071,686,179,715,540,110,513,611,317,973,553,577,412,160,
276,729,567,680,572,420,195,503,411,481,146,182,972,256,926,135,536,827,479,
958,941,859,281,081,029,973,547,673,770,631,801,179,158,778,171,845,316,079,
859,278,933,817,796,262,911,104,892,221,154,761,710,453,221,706,605,565,910,
026,904,523,595,611,967,614,212,322,214,680,305,924,980,453,007,278,612,371,
150,841,656,852,777,188,164,887,219,654,022,418,335,461,186,036,467,692,664,
603,601,956,851,668,250,794,349,439,824,471,858,464,386,285,069,789,527,682,
265,045,178,054,015,243,197,940,234,678,007,033,430,744,636,599,570,094,636,
504,209,664,122,881,318,350,516,891,482,562,521,456,949,090,197,570,541,443,
012,074,849,195,861,013,565,214,706,097,755,071,057,182,797,023,201,698,207,
117,468,230,064,481,017,256,088,651,028,504,328,079,473,836,700,803,797,110,
879,372,862,600,558,607,384,516,195,876,045,760,498,028,836,843,496,753,679,
688,986,854,429,517,901,609,570,489,357,960,358,676,275,090,021,291,189,365,
556,320,925,951,574,795,637,309,465,979,538,051,922,477,227,515,465,313,786,
610,975,807,567,120,687,966,714,017,029,329,761,284,728,997,377,768,601,036,
028,056,466,244,400,206,703,972,179,166,020,380,115,258,249,744,984,848,460,
916,553,494,281,212,431,831,190,810,224,650,789,892,205,809,498,062,676,747,
547,801,798,201,355,879,713,942,814,293,064,227,463,527,091,074,261,486,322,
591,177,002,827,203,776,103,062,223,542,658,570,600,300,363,673,449,582,289,
442,536,840,990,028,848,738,596,663,302,031,915,496,238,000,871,518,608,619,
240,717,697,411,408,497,898,374,553,157,687,250,608,717,220,624,998,715,017,
350,544,870,408,186,536,482,215,953,423,187,102,838,139,108,124,366,409,682,
059,490,559,251,219,364,487,385,120,576,359,814,731,975,405,462,440,233,733,
586,295,639,650,989,082,603,676,832,838,525,539,764,283,940,689,199,235,901,
402,885,823,715,108,047,521,050,251,853,492,482,632,345,500,970,778,875,049,
481,216,133,236,566,707,489,096,940,838,759,398,081,557,644,005,094,711,592,
800,261,680,188,370,826,354,249,554,554,363,473,442,901,597,779,119,303,481,
608,196,917,230,453,085,307,748,860,039,488,653,118,601,801,623,898,428,577,
816,197,992,109,937,767,515,623,018,409,803,722,651,727,369,231,277,057,192,
640,615,604,278,365,343,089,460,455,623,617,848,955,868,696,704,571,174,922,
283,640,388,219,424,613,591,256,172,430,567,540,355,254,822,437,687,362,345,
771,304,313,222,730,047,675,783,133,972,734,871,533,567,130,064,474,397,111,
343,909,243,400,801,330,840,652,912,727,000,900,966,993,159,701,188,845,979,
519,756,802,966,099,075,283,921,738,025,181,326,356,476,956,478,207,079,075,
939,095,671,661,298,042,553,593,992,544,303,570,789,013,067,815,485,244,807,
639,231,944,023,000,802,283,019,454,520,210,626,952,867,258,819,963,796,949,
238,462,818,910,358,288,520,311,712,596,906,646,886,671,031,498,422,920,079,
645,112,070,091,186,274,983,055,230,235,339,370,547,351,446,482,828,802,116,
970,691,100,870,638,143,339,797,633,178,747,863,272,947,710,752,615,802,636,
310,930,447,570,748,581,130,433,700,706,050,752,274,890,580,063,022,108,357,
967,192,661,393,121,838,753,175,175,564,708,570,070,870,480,844,326,479,049,
144,040,917,837,440,846,646,888,699,364,185,658,618,963,989,996,701,023,305,
557,437,690,957,190,210,846,278,844,302,520,169,150,483,785,892,336,569,729,
428,974,344,522,039,169,513,580,468,472,936,037,851,811,110,555,573,087,362,
558,684,316,734,741,132,078,823,700,970,946,079,835,555,906,024,730,177,445,
407,383,277,507,260,188,834,559,927,817,414,258,510,192,993,246,322,573,212,
477,617,134,629,233,165,371,005,025,320,976,473,484,284,698,601,873,965,585,
688,524,952,746,821,164,576,771,902,117,383,610,162,007,126,774,235,531,954,
123,551,092,484,262,245,622,591,342,029,132,973,109,172,909,298,173,380,608,
861,639,706,584,905,447,892,111,525,948,646,980,318,790,669,641,606,539,221,
741,984,294,426,546,315,597,648,602,987,232,872,812,973,404,643,630,910,315,
765,489,048,261,696,488,208,290,716,696,925,132,219,826,736,853,222,018,530,
655,229,312,391,221,762,502,745,810,057,520,078,978,549,473,252,890,873,289,
826,528,783,090,904,777,657,128,751,912,979,695,986,537,563,622,629,659,869,
011,221,156,285,855,344,258,141,067,126,161,736,454,714,278,317,536,283,292,
642,825,642,214,614,761,531,345,992,267,318,543,569,954,347,430,066,359,114,
549,814,564,136,803,364,046,050,109,125,702,912,410,142,279,179,553,491,289,
410,061,994,665,521,877,353,106,321,929,909,091,107,652,741,820,223,251,764,
650,556,237,345,782,708,591,273,363,600,082,908,113,351,186,377,799,706,117,
436,712,926,711,045,234,017,142,548,942,894,049,781,821,564,026,822,532,182,
430,677,446,371,336,923,209,678,437,415,436,023,447,674,147,435,722,819,822,
023,558,395,965,099,915,954,834,924,034,303,323,945,472,362,734,289,104,752,
663,416,333,051,385,846,193,760,128,791,652,991,614,372,035,718,242,197,245,
639,641,284,632,915,692,698,217,966,130,146,819,738,139,196,974,371,294,413,
298,865,588,040,351,409,036,698,821,298,423,318,235,559,883,584,103,285,990,
295,087,149,239,984,260,391,300,349,670,120,542,341,706,482,888,491,212,562,
936,475,401,834,584,009,991,732,383,488,929,695,486,423,267,300,008,544,009,
151,603,745,151,110,736,265,088,087,266,312,761,679,764,328,452,811,950,868,
389,169,654,867,241,413,244,648,747,136,128,827,448,955,001,217,274,771,496,
696,867,651,791,527,423,209,345,170,854,955,226,405,265,345,968,285,711,690,
762,725,242,056,916,069,627,579,719,698,092,637,408,723,840,083,132,427,140,
240,307,777,541,314,984,358,509,484,106,451,224,564,877,927,683,588,109,698,
265,837,184,474,199,668,640,603,234,897,131,621,816,594,430,807,139,387,414,
475,565,138,172,252,714,450,890,744,016,890,198,776,217,252,467,790,186,353,
478,434,208,295,942,103,157,520,738,403,385,768,718,589,617,556,510,173,859,
188,565,826,821,761,382,042,410,377,838,193,135,680,927,051,053,416,332,766,
245,143,763,419,670,504,061,321,394,178,345,123,973,167,231,995,659,433,204,
072,918,025,822,407,120,802,888,395,507,338,467,117,306,981,536,800,829,368,
604,320,740,899,488,163,742,789,048,384,102,874,450,456,474,919,348,925,355,
350,715,659,531,861,862,868,826,654,635,713,519,937,104,996,084,901,646,723,
987,888,013,530,366,146,921,710,927,091,696,394,496,876,559,750,813,946,700,
958,587,708,002,694,848,908,125,613,831,792,868,732,176,843,305,066,526,530,
083,785,593,711,663,884,518,562,850,556,468,450,824,693,106,898,098,225,409,
067,308,273,684,315,585,390,937,784,720,788,819,528,558,067,007,571,090,893,
678,332,262,316,139,044,190,037,021,222,556,036,883,369,743,364,311,656,351,
451,882,535,348,505,173,747,038,601,191,632,354,105,653,630,668,629,443,188,
928,201,807,828,406,583,231,513,559,221,320,115,127,097,486,869,697,945,804,
467,693,442,054,694,916,532,530,178,216,267,835,237,506,214,842,170,249,575,
310,121,073,706,937,485,188,081,479,044,233,705,779,565,050,190,604,833,372,
220,872,457,674,689,230,890,434,128,861,609,298,439,287,843,438,402,626,078,
976,194,727,986,059,210,690,440,683,767,709,833,502,215,235,163,391,628,471,
973,415,411,974,782,426,149,988,075,283,078,579,611,977,031,843,159,367,364,
225,187,625,539,770,382,086,551,534,866,866,898,889,723,489,774,165,504,497,
535,997,816,528,988,970,567,862,784,837,277,626,096,576,530,161,176,969,086,
843,569,615,506,791,369,623,613,633,436,982,709,422,244,437,254,027,929,205,
252,657,275,411,964,123,946,505,254,146,926,754,553,586,429,181,101,783,142,
051,895,827,997,972,638,842,866,024,230,837,606,954,267,464,531,300,555,757,
590,437,254,079,842,277,889,598,035,112,154,612,939,951,500,516,659,150,571,
768,110,654,126,781,455,360,214,026,710,492,047,062,224,698,555,396,956,292,
279,910,831,432,238,253,518,142,300,792,938,107,907,903,229,407,299,433,762,
863,141,614,229,428,034,626,312,694,897,641,339,089,247,550,156,457,388,744,
182,855,317,752,553,602,182,427,345,899,742,812,000,090,646,948,787,654,189,
772,610,933,405,417,469,204,299,472,312,293,525,184,378,564,963,884,602,908,
944,878,379,086,414,170,516,926,460,519,323,601,030,598,692,873,389,600,811,
533,900,240,631,798,064,055,492,510,050,855,734,108,598,347,533,394,550,118,
910,607,790,181,614,116,574,219,754,813,309,080,294,566,870,149,824,335,243,
289,627,813,199,765,792,032,752,219,001,311,955,999,462,054,217,593,803,011,
183,250,656,181,983,719,469,963,278,745,621,308,347,761,926,040,914,439,538,
932,129,074,182,966,908,225,640,039,031,568,267,950,005,138,735,159,476,527,
450,411,338,898,748,629,328,179,919,381,950,944,923,273,164,516,671,591,367,
261,792,103,447,953,674,420,586,054,821,039,413,163,612,642,303,280,357,579,
570,997,887,539,377,606,896,928,975,708,243,020,270,510,022,502,574,096,263,
601,767,293,023,631,091,132,319,289,224,217,670,536,618,072,542,219,278,604,
893,670,177,919,305,077,057,377,922,613,816,381,053,478,068,966,776,613,986,
983,635,924,452,126,076,948,851,031,787,371,077,252,679,541,840,247,474,488,
851,021,116,931,772,307,090,895,078,060,620,184,169,130,959,253,588,154,974,
773,824,395,064,734,178,148,869,285,575,743,997,365,836,353,003,859,868,738,
112,199,418,034,157,471,238,946,861,524,763,483,157,914,366,136,953,908,744,
694,119,473,417,162,215,650,739,521,482,888,295,876,580,975,456,294,147,408,
236,393,452,207,580,508,923,098,183,210,833,229,079,792,693,645,656,643,951,
084,895,718,401,359,347,876,246,453,691,345,121,643,668,997,928,154,915,420,
303,910,227,720,103,728,457,318,697,476,518,616,004,068,555,690,569,767,115,
119,519,630,741,327,158,597,222,675,372,093,837,009,340,181,662,396,605,267,
439,553,731,769,923,144,100,219,276,365,677,434,341,552,419,426,573,452,945,
755,436,776,716,646,860,257,505,489,296,844,903,695,447,757,110,549,825,473,
252,934,996,488,499,383,847,682,873,328,763,311,279,916,029,097,353,518,670,
551,815,522,355,554,085,308,365,413,770,855,776,887,101,590,001,300,478,758,
703,494,261,388,738,086,046,573,375,445,416,360,193,159,498,117,464,054,839,
828,282,009,109,644,884,575,268,560,297,775,210,276,213,216,854,807,696,084,
844,678,551,846,719,625,322,618,569,859,531,031,910,041,705,719,628,336,111,
204,971,510,102,496,273,335,997,782,826,701,175,969,069,282,080,262,061,588,
509,688,988,289,010,478,982,797,281,650,194,334,076,395,732,094,215,783,914,
393,242,119,127,257,402,725,607,526,217,920,383,135,517,438,832,579,762,313,
921,495,303,032,296,218,664,632,771,063,129,241,910,291,106,023,472,776,827,
362,793,451,840,516,834,858,687,459,874,818,662,903,141,066,402,601,391,570,
335,055,198,159,733,627,293,090,252,371,074,503,369,816,394,958,996,705,931,
701,125,133,429,815,504,214,041,531,883,583,066,621,288,355,081,589,158,726,
254,568,816,926,055,324,268,031,198,337,082,917,652,796,626,968,493,548,639,
572,121,778,940,767,570,316,283,599,520,626,408,666,156,655,680,266,182,542,
727,366,303,239,294,728,495,260,812,756,676,452,507,888,267,178,981,436,807,
728,467,553,095,245,259,210,868,738,265,748,987,817,346,416,299,675,454,760,
573,366,655,807,171,413,931,258,500,227,938,526,272,310,064,366,161,767,302,
353,963,590,267,318,407,895,462,373,464,930,279,744,041,044,155,836,314,460,
225,657,855,325,482,756,412,755,294,677,035,772,277,389,404,126,762,975,892,
384,120,147,577,151,066,081,233,113,457,083,243,508,822,664,793,378,382,851,
404,547,402,072,762,220,338,970,541,926,448,831,304,966,376,674,762,348,109,
931,044,918,980,883,448,564,705,978,408,327,993,545,434,973,462,808,343,236,
768,979,064,164,359,088,509,253,197,550,784,262,828,624,782,331,051,870,380,
244,640,415,921,919,230,878,288,039,043,166,429,060,350,833,275,186,098,759,
726,991,061,606,418,601,400,600,593,166,343,650,091,691,688,355,666,499,368,
306,700,028,785,297,484,769,441,301,852,459,997,266,827,231,162,130,972,555,
369,844,260,930,355,602,310,512,838,350,868,115,418,351,619,561,818,847,739,
962,223,948,446,979,209,132,403,308,634,595,582,580,228,572,232,336,678,364,
938,910,762,505,224,647,963,480,515,896,936,325,124,178,406,902,579,720,451,
143,532,001,959,014,300,931,835,538,917,358,587,328,342,716,044,128,165,741,
731,727,952,307,011,482,157,345,461,891,730,922,847,995,619,834,360,190,499,
985,192,991,460,458,136,326,477,878,981,956,986,043,518,057,950,516,671,679,
926,936,310,274,834,029,468,049,824,854,438,025,448,855,665,136,631,306,731,
049,860,775,216,040,458,133,953,820,396,342,983,631,643,640,298,911,166,612,
560,424,155,397,352,935,733,191,516,334,693,702,327,884,182,090,633,037,061,
271,193,451,871,659,869,718,287,582,128,783,126,862,530,298,798,186,831,153,
740,574,893,566,014,344,486,262,960,602,580,245,752,222,569,061,680,762,573,
396,570,751,277,968,795,256,973,790,877,034,451,630,135,189,714,453,488,181,
762,830,255,383,875,271,657,670,142,383,655,803,517,266,938,303,829,199,136,
651,933,457,634,423,376,109,733,771,749,783,645,382,851,261,021,462,719,573,
044,726,672,375,530,465,947,523,508,148,701,913,559,770,228,538,003,206,018,
382,149,602,998,762,806,583,213,809,720,614,423,653,141,209,574,106,711,058,
596,351,429,179,394,463,699,279,391,499,993,929,578,386,257,322,620,280,007,
839,449,708,068,588,399,473,281,149,654,139,971,332,541,783,948,306,160,187,
956,857,523,043,798,472,221,828,961,424,727,005,077,290,867,551,917,558,894,
954,010,184,081,019,509,828,119,144,804,129,246,336,774,442,593,199,312,788,
079,720,222,758,930,141,183,870,382,433,769,111,264,009,124,806,522,513,850,
273,133,645,726,623,231,367,516,698,626,203,670,524,659,465,205,430,149,448,
096,242,244,470,974,860,028,440,025,638,387,433,751,650,362,224,388,776,331,
765,529,600,835,581,753,398,325,737,995,616,240,590,185,886,062,538,207,710,
244,915,882,017,014,697,511,753,517,608,020,139,561,917,590,651,370,176,472,
187,677,861,935,599,972,614,058,442,811,113,350,620,493,679,924,173,738,435,
141,413,465,113,812,995,644,715,201,204,351,271,823,812,758,059,969,552,615,
538,864,699,098,225,107,373,439,395,300,350,068,253,527,305,535,181,589,367,
803,190,711,937,889,677,830,641,985,235,504,808,701,071,908,053,561,514,754,
928,390,515,114,706,020,183,292,262,453,153,814,962,692,375,019,584,732,380,
641,607,066,541,861,076,990,331,610,741,528,550,641,346,827,166,348,038,098,
492,125,284,355,483,080,967,718,173,431,507,806,255,617,712,375,389,255,714,
888,119,922,220,524,873,012,948,147,569,736,663,452,974,516,270,233,143,665,
817,625,802,327,550,629,468,859,610,929,014,142,691,308,396,784,667,539,707,
829,844,887,024,936,026,747,780,610,580,324,453,700,252,245,192,437,367,623,
475,163,624,729,173,597,558,410,774,583,463,304,536,649,127,125,836,877,198,
207,951,016,178,302,889,750,832,456,160,217,626,827,026,734,165,851,222,240,
231,571,932,960,369,834,847,917,260,373,080,414,698,714,174,087,388,014,829,
130,123,906,314,163,678,045,250,967,382,130,885,435,485,462,687,190,292,933,
033,700,661,002,846,293,494,116,781,696,890,467,905,158,824,883,081,633,189,
778,887,893,003,860,051,672,931,356,564,354,373,613,616,657,639,944,667,498,
289,591,596,184,135,696,950,429,434,409,675,431,253,317,305,787,095,308,991,
437,467,684,875,225,199,609,201,671,194,735,230,629,949,278,088,622,926,948,
482,900,163,001,401,417,216,109,596,788,974,215,568,527,136,825,430,778,786,
273,768,705,431,309,264,769,969,346,521,721,989,850,636,901,547,572,171,637,
243,274,935,706,333,813,419,669,189,730,364,471,369,457,139,905,673,147,477,
264,617,413,609,919,880,424,909,090,027,166,311,582,482,939,718,987,176,980,
933,160,559,264,429,738,467,856,513,296,212,520,957,866,112,146,187,812,069,
792,866,391,503,285,214,315,199,486,724,582,698,670,444,009,593,860,495,828,
214,690,684,705,469,668,012,077,147,704,251,216,196,652,379,065,988,374,931,
788,695,552,177,149,616,590,856,642,728,506,505,142,067,531,265,470,790,645,
867,234,758,588,425,285,626,524,707,370,181,280,756,126,035,442,944,639,082,
148,783,426,085,758,974,631,264,077,663,714,315,156,923,606,327,091,275,222,
179,888,925,753,367,108,114,902,209,521,552,145,042,105,452,017,904,088,543,
647,264,811,093,875,839,890,708,431,379,697,885,459,668,784,868,398,783,744,
208,014,420,475,365,850,395,075,626,152,071,635,533,856,924,608,430,104,343,
846,871,644,145,345,617,982,276,818,206,787,662,385,030,722,699,531,624,020,
904,748,666,596,684,173,056,987,018,317,574,191,840,729,898,840,201,547,614,
248,126,406,944,772,161,276,415,999,815,666,189,787,944,370,896,838,678,626,
872,866,038,747,575,856,892,999,914,563,391,209,455,027,161,861,570,134,374,
774,064,617,771,940,470,551,993,426,378,062,408,393,720,370,463,488,879,531,
311,115,376,955,242,720,068,874,717,714,709,387,974,119,805,409,313,866,965,
605,513,198,483,251,998,634,768,062,144,824,669,067,088,576,955,103,815,696,
538,303,566,038,474,538,407,727,592,223,860,248,106,263,043,086,659,452,295,
241,039,826,812,081,424,984,111,815,504,423,022,619,772,259,171,380,823,946,
262,290,860,567,302,925,808,288,990,592,248,815,103,643,668,092,355,644,784,
538,093,969,988,419,021,505,897,961,236,626,845,349,437,526,221,420,465,068,
107,727,965,164,874,027,829,104,463,978,900,779,873,526,685,977,927,386,605,
333,468,799,815,314,718,823,071,126,766,353,102,261,847,803,421,845,834,679,
148,937,794,779,195,662,420,683,580,742,224,622,959,128,819,938,017,888,311,
613,952,623,720,200,246,992,697,259,587,536,841,734,183,921,237,344,390,250,
835,508,390,009,991,739,568,833,496,216,829,619,145,210,701,364,303,549,203,
009,913,203,559,838,682,059,891,589,897,195,009,213,913,871,831,497,321,356,
307,702,837,094,200,023,574,904,649,934,367,236,510,922,262,349,966,028,843,
243,068,637,663,109,008,714,513,669,658,133,815,411,783,694,529,717,751,190,
115,010,123,360,346,577,226,030,110,464,420,024,143,474,117,406,695,444,035,
149,760,468,556,443,607,196,515,607,831,838,105,100,395,690,338,581,744,790,
076,064,403,236,202,915,922,825,771,694,371,503,406,773,352,825,829,539,640,
594,229,808,215,804,711,628,704,223,666,697,171,798,738,875,734,298,238,093,
483,988,455,376,786,856,187,823,861,030,245,757,376,726,299,342,102,791,325,
495,446,276,722,136,151,276,809,523,863,670,755,929,930,962,466,984,481,859,
254,426,014,187,062,196,645,369,036,647,260,473,439,279,187,397,312,905,225,
683,274,478,676,769,923,660,310,581,914,683,493,584,508,004,328,730,268,840,
969,941,309,166,080,523,421,451,814,182,552,573,347,217,406,522,936,637,144,
953,737,109,281,936,464,053,012,305,054,654,342,718,721,216,123,970,547,433,
358,790,769,308,654,079,335,351,410,210,986,918,356,453,930,996,864,439,654,
676,762,577,255,793,857,911,162,965,410,300,158,436,439,129,712,032,765,834,
526,221,048,783,381,384,764,843,018,939,903,198,341,737,535,486,620,863,977,
038,315,299,366,386,656,401,970,238,583,399,166,203,770,451,911,336,251,746,
349,623,844,809,097,570,448,666,458,765,074,469,114,686,391,346,462,085,343,
695,341,021,538,682,318,582,627,592,160,130,695,968,215,388,390,087,356,681,
809,169,024,442,582,673,090,099,843,436,415,937,310,259,610,213,101,757,644,
129,738,275,461,089,165,745,550,810,047,931,512,166,981,690,496,146,275,335,
070,305,318,286,455,713,999,550,668,863,944,969,436,806,852,809,088,615,404,
481,827,178,678,188,279,065,060,480,115,294,765,892,482,573,596,122,511,583,
229,466,627,776,173,262,063,115,879,324,232,704,592,214,048,246,402,522,132,
906,191,508,943,974,220,171,231,728,522,797,788,414,624,839,181,383,060,136,
047,028,240,973,229,423,408,244,712,441,395,769,458,072,500,684,429,876,051,
890,588,152,607,842,801,708,554,211,191,762,845,883,284,784,259,315,253,189,
372,893,033,630,669,888,104,473,968,095,342,083,305,386,368,177,696,367,635,
672,339,595,331,794,887,051,051,082,057,144,761,224,237,318,192,388,061,576,
293,775,722,291,282,584,263,038,680,372,034,337,583,514,873,730,106,512,720,
467,005,717,882,556,285,873,025,418,474,699,525,653,057,214,077,802,391,874,
695,267,969,120,286,816,088,754,181,484,222,742,568,874,471,813,525,182,514,
797,259,762,805,178,143,182,788,975,961,405,939,252,449,492,730,720,218,791,
780,541,608,345,881,127,756,006,903,881,857,969,989,476,402,421,663,436,656,
527,128,275,442,140,653,970,884,822,798,598,492,918,978,811,957,680,404,145,
483,974,831,457,968,386,123,775,028,289,831,916,891,280,118,346,226,701,648,
747,320,986,729,236,525,557,086,632,752,697,171,139,919,158,506,455,031,107,
938,970,958,430,755,442,802,138,085,904,957,557,908,350,285,944,866,398,720,
468,707,608,332,563,533,767,078,738,608,749,662,596,454,314,494,695,099,399,
209,665,765,077,935,987,925,394,222,098,722,620,185,020,257,130,091,420,697,
567,248,963,038,342,087,537,685,575,276,288,183,032,103,487,822,787,336,555,
870,927,630,703,124,670,893,608,472,077,522,230,191,062,818,128,129,111,362,
759,867,090,068,385,667,354,493,247,514,574,260,814,372,304,291,850,389,369,
373,941,099,810,975,132,295,685,249,665,620,902,075,357,336,503,300,296,078,
053,063,836,463,509,085,326,776,425,567,697,685,359,862,107,341,701,497,678,
426,294,788,625,048,633,366,829,820,114,338,020,141,137,236,348,233,620,141,
885,540,832,760,711,844,360,537,106,235,462,643,681,058,469,614,172,213,241,
307,936,495,252,852,939,814,126,152,815,980,603,638,286,651,869,957,813,000,
385,235,906,648,758,235,057,134,084,033,177,997,589,023,324,303,301,870,257,
357,914,390,761,657,279,299,705,490,314,528,471,989,586,468,756,483,266,005,
684,544,174,977,877,653,309,583,662,541,136,435,332,224,344,338,784,549,649,
294,184,118,281,133,077,584,987,209,646,145,942,244,073,867,468,680,944,624,
352,638,323,398,099,744,214,222,185,081,114,100,743,800,258,863,699,024,046,
095,901,644,107,949,277,954,204,594,565,895,605,709,211,348,864,529,398,231,
076,633,262,832,037,563,102,968,682,923,112,940,254,099,925,983,598,781,972,
257,061,896,665,676,177,620,519,394,093,029,108,978,151,269,080,529,157,144,
789,603,212,841,648,609,988,850,036,572,116,397,853,292,356,906,788,410,801,
018,458,305,337,882,121,892,760,271,711,015,517,202,546,761,692,646,502,685,
832,877,347,596,392,033,264,620,872,641,661,958,076,308,276,416,589,716,763,
063,429,630,957,907,072,005,414,767,587,870,123,885,110,035,832,959,802,293,
233,579,322,371,054,268,883,223,363,757,844,792,381,420,923,694,035,637,100,
605,605,809,538,554,927,859,751,732,620,734,379,217,158,985,149,574,535,539,
153,367,386,093,570,445,540,092,427,059,621,467,021,769,919,552,162,464,369,
665,685,665,563,703,057,954,962,791,302,642,606,995,951,684,793,016,459,691,
123,788,384,413,525,011,590,602,442,981,007,151,138,374,249,677,332,030,474,
554,634,105,456,587,174,994,609,784,783,203,520,067,740,921,231,827,765,643,
692,860,338,978,679,593,621,621,937,610,309,212,335,431,226,430,655,909,009,
579,732,643,245,661,143,200,962,064,176,321,675,687,062,320,664,310,752,800,
962,595,693,737,095,127,143,903,724,610,655,902,258,512,665,868,356,089,298,
076,993,616,528,217,758,046,149,881,869,847,374,212,074,541,162,304,007,038,
960,535,913,699,685,776,051,000,129,462,157,018,348,327,041,616,512,791,799,
545,624,697,447,412,260,014,543,397,174,968,299,184,525,704,958,672,853,565,
771,545,915,316,576,511,741,575,465,238,692,972,424,930,082,655,290,505,888,
966,997,410,100,965,965,195,158,176,960,176,974,686,243,312,917,962,792,347,
455,297,249,107,237,915,195,713,616,691,258,442,179,525,752,560,178,577,561,
351,540,586,177,932,995,122,946,333,056,099,237,185,007,710,658,193,892,943,
197,878,142,434,137,992,684,286,616,452,171,236,535,731,923,953,618,270,181,
171,182,148,167,778,201,639,443,774,463,352,028,657,386,263,862,328,654,983,
097,774,192,427,716,134,102,405,904,400,872,795,413,432,061,931,730,653,510,
755,044,632,817,142,914,231,014,054,198,625,091,983,920,847,263,869,063,862,
255,843,662,866,920,044,020,353,019,191,296,606,629,373,587,357,740,841,723,
935,641,413,525,915,265,843,640,454,398,368,873,305,598,751,954,191,660,447,
095,002,026,624,259,450,536,077,606,227,728,827,891,504,626,676,129,770,845,
424,819,569,555,318,476,243,124,257,894,745,602,344,167,978,777,820,399,671,
275,858,077,865,712,968,243,064,923,723,466,322,336,266,131,367,994,369,248,
249,598,739,392,596,670,088,173,869,290,153,175,923,359,845,072,563,219,058,
825,754,836,200,281,783,539,578,036,673,095,800,627,659,174,264,423,880,424,
863,578,773,536,984,045,229,298,067,493,831,786,070,956,789,742,263,525,053,
531,746,825,526,175,496,236,679,993,522,462,246,190,409,345,665,557,855,234,
127,159,240,060,606,298,087,483,263,617,803,975,801,884,544,841,546,409,765,
590,346,627,074,265,498,181,710,776,141,249,733,204,525,234,714,172,806,631,
763,372,453,842,402,060,874,643,124,289,962,891,960,354,302,365,510,537,383,
086,546,612,535,195,803,416,547,013,685,059,270,138,201,737,321,521,303,248,
212,481,036,325,110,937,703,899,328,494,943,150,413,804,556,214,710,516,644,
114,137,771,830,206,320,563,440,822,752,226,351,316,058,678,895,602,912,427,
039,317,893,020,441,111,133,529,045,284,160,385,100,762,951,099,864,383,533,
619,204,078,025,661,475,219,284,966,518,604,181,101,388,653,534,251,053,179,
085,455,648,188,513,660,087,791,117,994,240,075,642,491,423,841,718,707,053,
714,754,305,754,019,918,207,627,692,410,683,071,258,253,495,766,649,899,532,
820,258,437,534,701,437,338,724,695,907,720,649,862,270,457,840,479,738,500,
466,868,267,131,926,906,157,459,604,029,936,139,655,440,140,560,035,166,620,
208,842,440,331,687,200,948,754,664,235,513,280,927,189,419,529,028,537,454,
047,318,890,946,041,531,772,373,444,753,683,981,656,762,569,516,760,257,388,
694,795,731,800,577,063,216,547,064,001,166,523,885,814,742,826,039,274,162,
316,479,994,348,198,491,477,625,999,819,229,625,597,684,316,953,028,264,888,
340,085,756,335,443,038,822,855,081,254,147,689,874,959,086,782,273,502,453,
928,079,520,481,004,966,683,668,453,752,479,515,977,100,448,625,326,744,286,
320,171,866,611,367,005,616,777,668,305,824,226,933,301,187,988,700,905,612,
842,747,776,197,288,234,907,440,883,023,143,297,458,358,072,851,008,718,510,
296,682,235,301,719,254,788,325,733,528,734,769,426,888,176,698,257,114,043,
232,818,314,174,526,833,230,172,752,734,684,174,572,098,136,791,837,078,595,
974,006,883,945,221,369,441,512,530,011,364,632,668,176,358,210,418,284,539,
197,004,331,245,363,850,410,708,139,208,387,576,234,064,754,649,314,746,676,
253,715,653,978,393,006,712,167,831,711,745,421,476,474,882,011,978,252,328,
232,151,671,858,267,292,272,893,578,374,335,742,259,931,779,548,177,136,203,
512,323,027,862,959,007,984,312,135,175,611,719,557,419,084,840,348,265,847,
326,766,852,404,697,025,586,529,429,629,854,209,869,228,212,161,787,056,017,
139,831,405,808,845,505,271,501,036,200,395,033,493,701,622,056,809,228,536,
177,873,948,555,183,893,853,234,028,704,025,896,408,468,925,723,390,593,872,
260,256,671,908,551,748,493,627,069,819,724,475,918,550,361,633,122,287,738,
665,696,215,365,618,596,785,732,085,038,753,692,537,457,580,597,734,478,467,
416,646,071,973,251,953,189,554,230,734,038,545,905,397,285,581,391,366,899,
616,447,473,435,465,376,061,140,201,575,089,194,724,335,643,889,553,003,011,
648,142,151,955,163,897,759,303,413,519,021,463,758,369,979,755,285,636,323,
603,358,179,814,074,827,640,492,299,199,795,678,852,089,015,139,379,320,579,
927,624,954,309,977,273,852,471,894,380,085,195,622,020,273,892,620,032,546,
281,473,444,088,889,131,316,596,910,955,118,454,617,111,599,907,036,903,717,
985,607,160,746,312,925,966,181,133,514,405,140,371,642,201,857,600,571,156,
277,923,103,965,951,904,207,884,841,392,246,038,545,354,738,809,783,703,520,
116,738,633,384,845,674,828,187,265,422,858,204,900,524,448,653,277,879,985,
923,129,752,118,412,666,715,358,162,113,356,014,804,904,275,810,817,697,182,
988,149,894,779,287,346,125,556,835,858,693,004,663,569,730,607,637,898,703,
085,690,943,893,791,066,606,719,749,381,274,557,245,390,237,658,763,218,600,
844,956,138,152,894,297,844,892,005,809,455,135,540,559,488,553,832,268,336,
189,009,320,450,635,133,273,020,458,741,443,591,606,877,429,218,262,518,963,
362,088,291,542,976,254,905,396,373,810,538,647,454,908,935,600,007,217,907,
964,091,462,438,495,054,919,065,414,996,239,407,193,823,085,681,571,864,365,
188,739,038,245,846,862,079,380,908,611,848,330,357,525,211,625,391,716,040,
158,222,987,182,371,455,455,223,299,118,493,989,842,554,553,114,316,186,013,
623,946,358,372,238,716,646,035,158,434,745,468,423,594,926,058,511,687,789,
057,277,550,093,212,453,956,619,803,151,657,497,636,298,968,236,962,104,989,
897,782,402,054,448,165,724,724,917,597,396,889,340,338,973,224,172,748,139,
039,481,717,647,613,671,228,344,527,825,370,218,710,308,402,115,241,579,068,
801,647,678,183,807,355,714,670,184,895,410,199,241,048,424,305,975,258,893,
253,708,885,790,188,305,243,249,480,839,680,575,506,468,958,805,625,267,837,
219,617,640,710,813,227,684,556,942,195,686,314,954,342,264,171,627,671,437,
314,881,228,288,456,012,715,816,467,661,504,000,217,326,005,347,052,201,652,
199,045,913,002,747,572,662,330,868,839,050,914,121,213,026,551,425,798,272,
868,640,785,809,666,587,918,462,372,456,211,418,178,917,643,259,546,820,703,
618,218,143,679,131,447,500,852,982,854,979,384,850,615,973,968,943,696,243,
885,731,988,611,565,301,493,972,127,822,778,203,969,921,319,042,887,038,328,
598,441,349,446,492,735,433,475,900,299,383,933,856,843,571,172,353,803,706,
672,993,843,584,162,978,663,705,338,726,670,739,589,825,123,988,447,341,063,
452,203,696,709,755,970,291,963,757,435,480,706,925,902,505,673,958,204,180,
014,602,842,485,148,020,676,560,438,921,160,405,441,210,129,329,919,231,479,
367,588,015,423,268,743,213,311,356,881,020,001,591,818,118,280,304,572,067,
426,418,024,017,283,018,306,511,976,007,728,060,793,847,819,003,257,675,081,
650,533,278,980,985,219,161,573,996,633,382,338,821,738,402,264,172,212,769,
511,757,082,688,301,803,665,486,212,960,243,615,249,115,146,394,615,068,458,
507,386,374,253,510,347,293,200,286,306,561,031,218,333,229,525,417,082,998,
033,103,815,159,555,690,695,757,241,618,546,277,698,129,401,296,460,728,517,
707,867,088,866,242,051,842,123,193,271,396,505,723,399,609,874,598,574,619,
657,528,186,220,358,092,853,166,511,889,828,972,481,868,640,511,465,149,084,
958,863,909,580,111,862,647,118,663,379,730,895,355,858,556,487,584,241,505,
518,290,570,426,380,450,131,157,579,366,554,701,625,360,729,178,608,621,476,
934,827,346,884,524,169,206,532,476,770,724,018,546,624,276,597,692,531,693,
461,233,239,060,719,688,016,607,859,305,050,941,322,655,846,763,247,597,610,
631,463,528,055,729,680,786,395,684,562,376,985,513,706,794,905,922,101,066,
336,514,163,268,132,291,796,488,617,002,949,668,291,322,716,686,914,689,336,
277,875,399,622,955,873,318,963,161,114,307,764,645,969,030,935,282,209,668,
926,429,251,391,045,232,449,084,267,581,757,657,253,619,795,826,294,964,799,
236,194,745,092,839,811,144,950,682,034,323,777,361,174,219,258,579,183,670,
979,375,259,725,788,487,589,188,047,395,097,118,125,730,070,053,635,292,015,
987,637,992,397,097,826,841,893,540,727,111,850,990,255,218,150,758,124,221,
774,015,555,895,373,522,122,847,499,288,037,180,197,375,962,896,349,151,590,
756,860,972,627,165,948,669,373,067,191,367,894,056,129,923,118,522,340,974,
473,030,894,850,183,973,458,307,231,578,782,123,797,933,751,867,916,915,180,
230,533,838,685,904,301,702,017,892,401,620,970,788,575,463,031,285,713,635,
131,264,197,476,894,768,732,775,567,828,544,385,037,176,810,460,873,184,654,
878,354,934,242,654,867,668,245,322,466,899,134,853,866,985,934,405,229,877,
456,083,625,649,587,453,396,713,277,265,572,082,899,556,022,073,866,851,211,
606,073,780,036,940,135,465,993,476,426,196,590,738,447,449,636,905,188,770,
214,101,940,063,543,373,508,643,228,975,368,650,752,845,581,159,829,752,146,
260,861,759,132,484,750,499,796,867,847,027,426,641,747,130,633,381,259,163,
563,527,103,790,946,679,009,249,898,695,237,657,129,406,795,447,684,130,894,
244,731,379,515,230,854,548,206,647,004,231,051,440,128,130,778,348,987,769,
861,366,073,111,436,418,323,662,025,145,005,044,233,589,618,629,476,261,347,
395,722,553,994,110,341,367,608,215,457,795,827,716,032,683,452,845,077,853,
080,613,375,255,674,813,385,789,208,429,683,179,132,816,727,222,469,215,313,
930,373,354,831,121,509,842,953,626,828,521,461,123,927,374,467,636,031,161,
230,697,958,211,477,097,350,498,254,218,404,533,167,442,673,320,997,539,791,
731,821,320,226,368,518,312,235,603,818,253,372,856,209,755,939,808,750,138,
553,578,138,840,587,272,177,002,669,253,670,626,073,968,657,216,108,450,686,
723,039,301,949,529,429,970,647,422,154,875,371,606,920,250,257,578,057,798,
431,966,015,566,689,488,039,727,274,459,815,240,495,321,826,577,375,831,658,
595,514,919,947,556,069,297,774,590,387,650,201,129,585,823,605,639,219,702,
561,558,438,988,685,326,574,326,866,741,942,941,772,980,917,196,028,870,460,
952,775,100,050,272,328,993,838,923,224,370,018,065,412,098,633,284,950,551,
450,779,013,239,545,074,946,585,508,041,000,297,201,935,276,452,007,750,424,
905,717,158,591,517,233,070,375,665,123,310,236,170,024,046,647,490,410,551,
904,674,935,694,212,873,287,097,813,826,736,768,222,749,397,713,998,158,801,
305,069,944,510,367,903,889,423,636,972,770,467,540,301,434,824,848,073,858,
751,460,113,261,176,126,621,680,010,917,662,551,077,961,934,041,349,778,808,
437,518,081,854,288,654,229,593,042,977,340,545,134,082,297,917,604,034,636,
982,797,033,433,783,668,370,501,558,447,383,606,647,198,448,875,342,843,620,
679,715,270,450,425,499,815,816,247,270,409,927,940,627,192,262,788,259,595,
750,365,534,085,565,346,169,395,535,760,182,895,999,646,687,498,871,566,304,
837,312,678,543,950,145,044,487,399,708,641,132,392,540,768,965,134,955,260,
704,527,881,023,413,762,729,218,255,472,341,622,547,215,760,504,949,085,238,
885,234,856,758,798,454,116,909,750,617,892,264,097,708,597,763,686,872,463,
715,252,639,459,067,249,471,318,358,882,070,515,129,895,315,262,722,727,943,
515,757,642,935,289,963,854,986,442,991,574,506,197,833,647,953,677,509,493,
331,105,561,947,194,476,646,662,605,389,017,015,272,385,419,486,753,012,610,
182,888,305,566,401,310,127,560,955,389,884,350,974,113,955,697,785,736,226,
945,344,823,586,119,318,649,867,422,379,058,140,456,345,917,809,517,574,366,
408,262,022,202,514,765,908,387,602,242,894,959,847,185,562,583,975,878,842,
646,291,405,133,072,355,165,725,100,846,221,442,517,041,934,195,873,979,906,
667,712,388,463,512,399,381,107,627,179,292,281,687,358,079,310,737,687,399,
022,709,358,593,105,061,094,632,017,136,095,487,719,595,537,293,278,782,070,
395,956,137,262,088,043,815,618,936,672,220,266,541,408,859,850,224,657,536,
450,161,289,602,812,907,078,994,617,687,479,781,244,002,875,139,702,061,888,
679,033,581,548,029,341,614,255,799,214,853,500,058,619,077,672,474,081,071,
214,297,006,998,339,748,709,844,923,451,433,558,449,389,983,165,180,869,295,
533,817,335,760,424,908,403,590,955,316,002,292,137,414,115,973,348,009,908,
214,581,103,663,804,058,573,336,643,047,803,615,162,369,821,813,553,196,401,
687,478,032,207,289,455,028,893,118,560,720,615,026,121,008,009,774,756,646,
460,965,641,047,204,935,519,083,163,628,050,377,121,399,014,152,334,426,386,
690,550,736,451,782,696,845,007,148,271,421,412,411,237,218,764,383,202,509,
790,669,835,379,190,512,973,430,780,110,969,197,577,669,077,235,433,681,375,
959,433,972,470,522,286,695,616,929,494,245,196,549,451,048,904,017,459,765,
917,561,921,641,474,178,321,170,819,808,487,266,559,754,672,248,114,089,883,
127,245,291,425,141,312,556,427,048,790,784,030,350,239,600,859,851,136,870,
524,407,145,010,421,713,092,318,778,025,961,625,831,682,021,394,178,174,421,
731,721,356,132,312,990,491,726,522,437,009,548,889,487,804,512,991,344,007,
345,472,644,209,886,165,377,246,517,488,069,575,624,804,643,289,092,481,079,
108,815,053,525,503,608,396,123,235,635,766,173,807,443,889,478,277,270,257,
695,175,171,932,068,217,899,659,221,617,069,508,181,827,170,750,158,083,111,
386,098,334,888,908,808,368,981,997,223,297,718,343,086,099,544,265,541,925,
816,932,570,337,648,456,426,752,565,828,424,413,391,507,333,115,917,499,447,
217,119,347,051,296,091,726,171,578,703,789,583,950,133,069,047,490,725,528,
180,877,225,442,076,069,536,132,925,425,916,008,449,533,387,424,012,616,469,
102,356,257,124,029,284,865,976,865,813,951,466,608,800,062,514,620,593,546,
094,556,741,192,810,790,060,344,915,865,981,751,631,331,016,216,907,387,459,
770,354,113,816,461,000,654,557,871,500,711,069,360,549,877,701,169,444,897,
349,118,974,015,414,859,124,687,569,247,080,813,303,673,018,254,332,436,388,
847,804,148,368,598,589,306,364,113,846,859,417,460,917,388,701,167,971,810,
778,570,554,499,984,640,002,925,425,670,678,388,520,258,607,206,198,477,755,
970,627,312,726,425,143,901,789,761,996,120,474,244,700,998,060,294,795,107,
285,783,078,542,985,540,927,055,898,259,840,598,879,450,936,039,689,447,811,
368,992,627,584,851,020,867,561,745,146,400,179,344,010,022,629,681,101,842,
098,966,350,618,403,492,646,316,926,333,122,615,991,994,328,794,699,315,854,
191,433,631,606,168,480,893,552,703,463,899,784,032,727,135,670,368,501,673,
761,336,474,787,593,360,320,621,282,427,447,538,343,919,573,015,705,424,572,
387,080,034,084,926,090,569,612,609,749,691,878,615,479,673,073,862,334,401,
138,754,082,914,196,259,078,071,478,166,973,794,081,261,245,897,526,109,338,
408,208,821,768,628,074,388,525,032,112,171,362,841,703,513,724,842,899,812,
871,639,491,532,399,576,796,861,855,311,945,864,759,862,354,242,553,198,326,
146,168,884,773,876,033,962,875,322,836,844,977,332,036,964,839,049,398,163,
851,865,303,351,084,960,387,575,651,138,260,708,154,990,754,488,041,783,155,
484,880,109,214,680,834,851,800,675,026,535,464,242,550,950,354,766,607,893,
276,474,678,377,104,338,785,404,230,777,276,656,615,321,453,653,171,484,975,
598,073,820,423,592,592,895,588,315,821,286,938,342,664,211,483,157,133,055,
051,441,410,767,100,275,960,191,062,439,483,739,830,679,449,644,973,279,580,
018,087,005,166,316,305,565,558,652,854,507,556,528,771,566,680,409,148,165,
284,295,988,832,332,852,321,737,159,206,064,519,984,472,236,805,975,348,208,
473,554,985,774,591,092,966,569,956,197,730,373,778,781,070,306,037,274,256,
598,327,103,922,273,730,209,725,667,994,306,569,736,247,711,476,211,139,578,
233,956,224,269,593,644,834,795,351,697,708,957,395,117,672,145,061,361,551,
920,350,314,576,731,223,557,083,342,833,640,365,393,676,054,259,809,514,148,
840,415,807,107,352,391,320,381,862,241,780,689,091,311,268,992,022,137,907,
671,775,540,920,703,671,832,898,275,912,174,069,992,474,279,465,824,509,139,
812,061,924,243,241,577,925,740,739,746,460,348,753,979,872,362,789,608,038,
769,762,432,798,525,304,426,718,959,904,455,501,262,898,082,367,318,477,705,
649,634,601,096,654,053,140,383,573,341,332,502,970,202,329,615,679,717,794,
182,717,958,566,885,953,533,040,266,359,620,689,455,091,453,959,166,749,226,
917,757,254,456,424,216,969,066,430,154,773,821,128,002,752,565,953,483,711,
675,054,817,615,556,637,125,172,834,714,881,823,899,598,459,735,161,247,466,
897,249,811,525,083,539,122,132,143,149,126,716,237,578,348,348,909,034,604,
673,083,498,393,372,315,415,399,407,456,344,454,192,638,216,101,355,609,413,
550,206,361,772,756,263,598,861,202,118,134,305,488,898,004,224,246,098,094,
843,636,112,888,514,942,898,347,138,255,173,677,626,404,037,962,136,721,434,
648,919,926,463,554,800,341,860,997,235,239,880,118,800,161,700,877,207,370,
247,222,487,241,126,089,866,151,253,125,525,776,852,300,666,470,410,051,729,
897,161,062,130,262,399,872,792,016,722,263,330,096,253,553,423,507,654,511,
041,228,866,320,164,728,125,364,425,119,728,260,015,883,021,625,917,697,689,
230,404,587,192,907,513,524,622,092,466,792,890,506,050,057,143,231,673,780,
869,854,835,206,062,290,499,195,179,692,650,551,243,621,776,519,566,351,380,
710,485,422,053,404,901,831,487,967,282,414,026,248,304,491,599,720,028,137,
443,357,192,710,005,895,180,592,063,009,203,498,530,127,420,568,050,284,715,
290,608,938,635,134,129,327,527,179,329,282,218,029,962,883,152,567,853,398,
037,838,541,926,568,397,190,913,738,702,696,173,985,331,371,907,344,958,676,
445,235,835,386,003,500,449,529,452,829,724,017,459,105,282,201,854,960,267,
752,817,706,856,635,020,348,358,094,898,288,891,406,434,331,545,223,023,435,
273,246,344,663,390,451,482,542,854,934,517,464,501,995,153,724,555,053,104,
852,460,105,453,550,348,828,037,138,048,532,170,032,831,975,840,430,067,226,
463,898,788,055,037,964,294,742,772,583,683,390,855,443,853,137,136,524,805,
081,572,085,088,504,494,939,944,378,122,747,559,961,191,847,047,949,000,141,
512,415,433,744,946,106,255,101,547,497,411,818,266,123,658,590,451,145,414,
238,164,895,788,991,542,352,490,271,315,060,219,182,746,324,927,336,687,368,
980,369,586,483,733,653,278,601,921,856,417,653,602,798,714,727,993,472,816,
545,035,445,781,305,825,122,913,389,161,461,917,504,086,482,992,302,252,482,
288,528,838,521,731,540,024,391,789,424,019,692,290,000,116,054,391,959,016,
796,435,189,885,084,950,345,951,959,760,209,139,761,123,783,339,934,452,226,
897,818,926,683,760,888,988,469,631,666,989,039,297,654,979,031,528,051,494,
037,146,910,176,760,568,374,586,043,061,972,139,342,486,093,179,378,877,586,
747,475,239,682,792,381,255,954,689,722,066,755,789,228,853,621,371,347,385,
559,263,634,443,503,311,215,643,746,944,077,436,110,742,456,288,307,057,461,
240,328,879,971,806,700,173,186,558,940,496,003,247,950,700,859,313,538,933,
445,821,313,088,135,253,103,809,275,166,426,287,558,486,764,928,210,077,772,
138,252,577,376,848,800,375,734,400,864,569,039,325,598,499,749,657,027,003,
438,207,882,868,573,353,867,860,568,774,332,958,872,244,006,782,034,797,073,
013,220,408,356,000,328,838,834,324,328,779,992,400,693,241,953,618,321,163,
145,266,369,789,616,094,487,697,746,154,839,096,478,875,761,637,796,481,420,
365,963,025,681,576,113,479,738,790,052,869,371,742,875,856,964,209,428,382,
566,018,654,184,358,861,568,911,164,086,750,329,180,576,465,616,034,100,372,
183,806,963,761,933,614,757,280,693,514,067,580,100,944,548,163,495,378,117,
002,041,419,292,298,109,522,629,494,462,332,724,008,456,116,199,501,917,889,
500,850,972,359,834,200,361,647,875,180,306,512,654,766,945,217,097,767,240,
003,564,486,684,236,073,164,321,811,485,887,255,632,135,742,325,673,903,729,
697,057,318,172,571,554,332,824,417,760,337,305,384,116,031,235,552,990,307,
036,748,586,384,055,304,650,413,747,771,771,132,876,275,891,382,304,336,985,
244,288,453,660,552,480,891,326,894,563,562,383,302,583,076,267,673,913,368,
491,578,863,011,484,735,515,744,959,150,841,475,345,791,827,393,980,711,082,
009,823,548,342,716,599,787,678,777,993,475,389,962,523,472,130,646,049,277,
862,726,552,513,150,948,088,834,570,018,727,078,542,602,094,625,228,956,356,
235,291,311,302,610,109,274,419,363,166,758,210,609,397,586,373,189,170,317,
214,258,113,130,993,676,393,109,771,737,742,782,028,428,099,362,890,045,457,
391,755,058,463,316,113,404,946,749,500,121,432,886,654,568,298,506,724,333,
134,960,338,972,554,996,653,472,267,215,691,422,576,549,173,391,397,102,193,
674,436,307,128,519,326,919,583,028,883,203,846,575,610,706,680,861,671,976,
128,117,106,580,317,979,742,595,806,760,200,860,477,953,019,605,947,423,198,
235,481,658,479,072,608,754,936,471,437,372,027,607,665,354,934,914,992,791,
733,557,772,217,142,965,194,261,580,828,804,571,604,188,358,619,069,212,469,
849,913,202,054,795,856,648,709,444,815,645,723,394,701,135,310,758,763,697,
291,052,482,407,741,448,653,441,470,766,346,499,249,163,062,471,236,862,984,
491,438,748,516,873,772,826,772,070,489,048,822,511,991,012,287,890,500,130,
823,012,647,842,570,149,985,444,059,118,191,631,876,338,710,236,772,735,711,
815,320,139,423,625,181,378,233,384,014,869,569,487,184,987,933,853,684,090,
693,345,296,990,575,841,925,416,269,975,686,638,063,258,237,517,820,339,136,
563,253,788,448,910,636,298,852,516,413,468,591,496,863,082,203,401,352,040,
584,235,479,487,710,696,451,186,361,696,518,217,837,913,699,995,924,793,986,
171,447,446,477,292,550,834,181,932,673,461,786,276,830,571,153,112,256,654,
000,970,220,118,490,487,629,752,288,641,808,367,927,311,882,968,181,306,014,
258,533,750,470,642,493,395,479,262,883,435,015,269,037,783,491,070,858,639,
328,739,767,835,485,399,791,616,142,596,505,397,359,483,510,132,526,355,213,
464,216,309,288,881,833,971,400,515,204,472,950,463,725,464,935,570,115,961,
455,684,477,895,025,069,583,022,515,503,839,648,051,767,126,520,558,456,577,
310,150,815,290,082,628,837,339,870,191,888,027,963,183,662,922,806,376,536,
732,464,185,031,754,305,857,670,887,118,356,685,742,039,501,533,111,248,081,
331,052,552,715,149,665,180,313,533,998,866,650,227,044,328,398,802,238,763,
846,122,901,304,453,041,501,583,434,678,237,105,707,030,538,152,904,031,506,
325,177,487,575,319,580,136,929,562,881,090,522,248,077,660,431,544,832,382,
440,986,274,021,131,297,068,107,059,288,673,058,545,374,622,534,178,864,187,
672,239,179,540,620,631,323,153,184,249,967,794,671,124,079,786,840,257,495,
344,756,625,406,460,449,317,847,167,755,083,620,657,804,886,154,669,408,771,
271,363,130,596,572,284,030,856,178,402,285,771,716,818,787,644,287,273,945,
311,775,276,761,554,182,373,312,989,001,201,941,234,508,848,457,777,260,528,
732,735,647,412,009,180,144,991,676,668,350,940,682,496,231,700,631,248,270,
106,046,062,628,044,357,030,038,176,851,899,538,631,047,316,747,732,309,572,
653,032,074,934,966,519,481,936,058,921,513,271,028,331,939,841,041,103,468,
926,677,738,287,743,315,868,076,100,105,180,813,378,496,465,426,406,682,492,
064,876,325,298,595,783,173,958,028,692,805,044,530,019,454,661,438,882,125,
790,063,020,823,020,656,137,221,694,190,639,065,772,557,561,843,337,765,852,
026,703,109,208,926,428,142,412,554,412,254,684,679,466,298,663,842,840,137,
867,358,572,786,606,505,614,009,942,543,853,936,404,149,672,382,503,082,168,
398,287,154,038,057,435,873,126,546,916,728,602,779,839,207,447,347,061,093,
430,382,044,390,536,866,608,777,800,630,467,168,398,545,809,854,875,943,098,
316,088,088,373,028,834,843,684,846,725,698,964,478,007,692,240,292,678,627,
120,670,341,951,230,382,958,836,866,950,205,390,785,317,148,998,242,296,701,
149,625,387,280,023,689,907,042,318,113,455,721,350,741,821,537,804,961,451,
338,018,509,628,508,771,458,610,139,601,583,555,164,279,035,382,460,116,326,
128,973,561,825,105,659,418,116,132,188,173,507,203,350,146,983,310,545,207,
000,240,222,836,753,990,748,197,891,191,837,102,727,137,212,839,346,913,674,
903,915,877,953,267,459,761,207,278,278,669,621,892,276,780,655,602,492,889,
523,325,198,247,275,232,743,087,222,802,496,644,424,786,049,407,352,717,067,
707,302,700,577,731,063,598,744,009,291,339,169,730,566,400,963,987,236,285,
424,989,917,030,171,404,661,520,288,145,262,161,577,468,779,245,859,776,607,
671,534,751,039,589,481,421,319,001,477,962,552,356,152,396,253,730,663,796,
125,777,559,360,822,627,381,356,650,279,253,914,595,250,956,301,876,865,852,
184,004,807,102,558,194,960,803,688,936,461,417,037,943,260,531,027,803,726,
100,333,005,899,120,934,305,386,031,545,582,716,925,432,776,583,663,817,059,
163,007,270,654,757,515,986,577,814,549,590,242,199,662,135,253,355,389,246,
578,341,957,257,904,105,199,199,658,888,230,939,531,077,339,391,175,122,440,
318,568,621,654,209,575,318,741,847,429,036,920,787,082,799,893,498,670,785,
770,942,651,724,206,755,081,895,316,021,843,765,187,997,272,254,278,001,122,
947,985,239,389,752,143,520,283,526,501,466,007,153,821,043,523,306,171,759,
446,852,590,591,377,999,841,475,046,759,276,916,912,027,473,822,852,520,106,
234,735,480,596,956,826,285,423,588,190,394,477,436,575,719,982,624,200,014,
510,085,254,692,520,273,549,779,228,137,085,203,027,877,438,692,463,247,871,
297,534,434,423,637,232,154,558,652,347,877,260,055,219,674,161,533,661,198,
974,418,149,788,168,204,930,862,614,498,492,873,215,094,270,554,739,040,177,
037,691,669,695,980,485,876,984,290,272,623,402,499,127,188,032,270,661,803,
388,227,851,629,195,876,592,519,503,433,357,614,406,698,386,442,285,820,201,
229,157,145,817,269,001,709,739,605,877,910,563,066,669,870,046,388,691,998,
985,209,808,605,742,399,296,119,652,435,698,784,551,799,156,768,988,163,266,
515,918,793,355,493,241,447,263,532,081,092,844,108,567,953,155,217,275,210,
442,147,750,782,585,898,466,682,814,842,222,925,522,780,543,461,435,728,340,
096,250,056,732,412,755,384,279,872,690,529,780,794,049,271,163,158,276,932,
209,325,007,619,779,050,184,057,600,473,150,933,156,151,618,762,440,089,947,
590,622,900,074,841,375,593,524,312,404,005,302,601,780,051,335,201,790,289,
374,826,952,560,111,379,529,038,384,930,907,558,091,579,148,147,260,611,274,
773,739,977,352,546,822,042,260,506,490,993,179,003,415,465,942,144,397,731,
645,936,956,386,898,570,141,896,106,642,071,934,278,216,776,436,246,921,177,
003,156,326,643,856,889,234,700,954,539,265,855,124,467,024,409,918,007,317,
052,283,568,653,698,404,662,680,491,798,586,304,240,091,768,520,284,165,402,
365,357,652,003,408,561,265,296,193,031,417,938,706,252,145,668,718,165,236,
158,881,080,295,093,410,602,223,096,714,363,349,884,712,777,734,782,794,759,
075,164,668,714,261,351,887,398,303,999,964,715,656,861,408,718,035,531,229,
518,217,333,998,362,245,401,785,515,597,045,448,778,961,078,401,648,949,871,
288,980,770,968,993,629,052,735,118,160,959,951,381,559,743,764,094,163,985,
586,444,342,464,877,794,907,871,054,262,079,474,081,932,154,404,812,963,564,
354,879,042,822,101,005,419,279,121,638,242,430,130,701,488,371,794,990,924,
641,469,877,762,225,478,454,814,821,963,510,211,610,536,587,775,412,743,860,
964,398,770,107,604,210,944,038,542,975,168,326,864,084,153,818,509,024,471,
556,938,383,411,372,791,397,959,123,714,026,113,761,236,564,414,462,264,766,
103,236,982,871,406,437,483,607,114,051,308,370,004,113,401,199,241,723,696,
499,006,980,529,096,246,873,599,866,111,488,698,989,223,726,874,483,228,943,
695,552,772,315,871,270,519,494,609,162,073,092,112,404,060,198,940,396,162,
271,648,911,888,009,444,475,448,320,654,878,211,210,022,574,247,398,153,080,
835,165,008,102,002,847,770,657,419,750,904,207,143,012,426,337,310,767,405,
829,450,684,914,126,919,800,596,551,697,779,794,404,389,476,474,605,028,564,
062,771,371,684,593,080,128,494,292,262,638,991,281,729,510,745,349,054,670,
423,931,510,893,399,155,571,676,799,934,155,130,019,884,936,556,239,326,349,
920,341,320,203,404,131,904,800,903,060,765,406,518,143,292,186,846,284,945,
462,860,855,466,363,361,517,353,338,170,469,262,322,906,564,681,700,788,227,
666,925,666,428,406,183,029,078,163,470,653,731,432,390,602,364,014,403,136,
060,012,667,937,648,622,092,856,575,477,857,561,715,570,144,359,578,582,220,
525,220,960,033,558,258,987,947,893,077,814,702,386,223,293,970,539,046,185,
367,269,263,807,162,302,358,098,708,112,245,766,858,874,116,884,483,427,632,
257,668,441,856,296,760,098,197,458,081,794,221,313,453,227,334,129,928,031,
457,925,688,220,880,665,024,765,796,865,810,360,993,655,659,964,309,282,054,
675,179,670,582,156,515,889,997,016,415,063,575,860,986,254,132,674,850,544,
475,038,774,053,459,590,618,864,625,863,062,345,014,379,141,193,389,207,419,
611,162,534,455,928,388,467,788,712,131,674,460,895,642,067,980,083,394,688,
527,284,216,040,486,512,819,325,143,709,278,912,574,313,527,499,087,547,442,
358,079,231,593,863,901,625,335,331,297,462,297,527,141,859,772,320,307,532,
641,564,198,544,118,247,267,503,436,177,417,646,385,284,680,734,926,504,303,
543,174,909,803,391,359,413,061,354,111,498,306,618,723,280,280,493,822,763,
630,311,754,807,004,198,132,235,480,686,486,914,618,920,587,753,386,975,344,
979,100,331,390,063,641,107,142,827,396,378,102,940,513,446,685,170,549,251,
654,431,106,173,404,966,015,397,086,792,307,886,908,695,044,279,860,427,921,
181,469,818,633,297,150,278,152,918,852,734,698,957,266,904,492,654,845,240,
061,668,123,052,932,934,136,219,793,096,166,599,302,959,260,420,965,696,935,
899,993,534,709,222,341,346,749,480,093,748,865,902,988,520,832,266,250,882,
773,868,532,998,911,659,959,498,721,131,876,036,168,185,548,917,882,395,255,
533,545,483,165,254,905,680,370,961,153,927,527,118,993,087,351,085,765,708,
468,841,168,536,780,868,405,560,420,280,901,348,680,545,037,944,586,384,043,
233,675,837,429,806,650,558,018,398,628,670,609,885,885,809,205,590,303,510,
043,482,480,667,734,286,092,787,299,665,050,117,208,981,761,769,077,563,812,
737,259,857,996,307,216,029,281,293,374,877,113,118,676,982,360,902,419,833,
949,727,723,022,881,694,137,219,523,335,067,804,277,473,342,483,323,200,503,
097,851,100,751,424,126,341,704,455,743,214,128,179,425,005,302,417,970,978,
926,977,301,561,360,193,569,671,427,249,993,159,995,155,055,014,525,723,716,
519,794,711,689,203,993,064,917,848,305,482,615,987,111,674,466,304,868,261,
633,598,222,762,200,308,124,641,943,346,616,637,863,897,906,325,070,180,357,
551,512,860,231,897,254,242,837,827,127,787,489,308,154,818,128,263,588,245,
251,717,652,874,728,540,234,925,569,636,326,940,621,288,265,537,467,244,015,
411,837,222,790,965,989,913,429,816,099,715,013,717,519,364,799,877,361,605,
325,701,721,808,830,225,570,608,724,862,098,655,704,318,974,069,932,136,434,
319,289,197,325,805,706,211,770,986,008,474,348,884,041,613,566,350,544,435,
500,317,053,739,215,519,410,196,730,275,153,430,899,369,061,408,638,911,004,
537,297,926,383,902,096,257,203,594,000,349,889,086,898,336,169,864,259,695,
776,432,563,463,155,594,843,568,674,878,760,142,106,961,413,606,970,556,979,
582,756,348,769,376,772,386,479,469,070,565,314,671,353,118,732,157,246,914,
795,870,248,071,761,825,959,614,533,155,080,380,224,692,974,015,117,701,561,
456,749,368,657,693,253,849,060,067,142,892,576,144,458,201,591,968,120,550,
747,634,573,087,844,885,139,091,911,845,461,991,265,512,620,527,590,928,207,
380,927,931,088,861,433,700,126,836,007,668,712,279,172,061,280,210,792,667,
996,617,403,106,453,202,768,980,813,191,226,973,919,809,941,469,917,339,353,
196,463,514,000,551,639,521,125,491,573,470,357,940,837,563,799,406,306,106,
177,456,259,364,334,672,156,735,460,341,610,447,978,622,410,947,726,917,317,
966,322,430,812,061,803,255,656,743,362,131,134,455,632,273,185,702,621,677,
703,390,266,859,166,735,834,848,282,985,752,764,338,018,370,335,500,384,243,
260,719,513,414,794,642,122,360,182,808,639,150,840,760,547,085,848,143,885,
362,685,899,822,207,650,020,727,637,879,494,070,845,120,830,230,246,795,864,
086,046,806,162,915,892,636,091,247,962,667,249,638,387,567,285,042,266,966,
035,291,155,472,873,678,633,992,944,472,222,878,812,534,424,669,782,174,675,
923,210,183,136,041,134,028,344,163,267,341,480,913,757,876,568,438,299,169,
283,597,742,416,607,999,822,732,151,396,611,442,170,540,988,841,776,762,080,
006,814,649,675,706,060,379,019,789,704,915,159,709,645,815,161,231,789,635,
399,454,247,984,583,307,323,700,335,272,955,658,590,625,575,489,255,784,418,
157,275,511,064,684,172,044,209,158,783,103,079,768,481,966,211,201,336,462,
214,387,643,016,137,966,925,365,853,264,961,768,356,542,847,692,511,854,223,
283,410,005,350,247,989,150,755,251,717,466,197,154,526,127,589,829,718,181,
024,458,629,385,125,531,860,351,474,117,625,583,477,671,902,748,602,312,399,
669,617,214,952,091,559,941,191,010,911,112,292,790,894,659,021,481,433,472,
004,543,025,709,910,626,584,976,574,959,686,050,498,286,042,255,500,949,508,
237,789,457,972,938,816,417,823,891,903,268,666,775,451,972,902,670,612,749,
754,564,295,763,723,135,863,514,408,548,801,541,307,740,638,970,209,072,590,
017,175,064,183,261,595,761,414,056,916,798,683,717,031,201,110,090,316,032,
562,977,956,659,500,708,030,402,104,000,654,913,984,197,786,279,805,284,207,
151,205,410,959,735,906,279,139,291,767,056,327,793,773,651,004,276,726,426,
827,244,389,247,532,410,027,289,229,920,489,534,087,290,994,186,413,076,996,
363,254,373,047,617,362,348,831,448,825,112,552,978,585,006,426,793,612,369,
602,145,781,847,396,912,798,347,496,052,919,980,244,578,943,950,752,404,685,
556,493,086,429,614,655,716,794,501,902,447,447,927,000,642,435,023,454,939,
050,950,573,807,504,033,571,105,843,537,226,739,179,513,826,856,869,220,863,
109,786,813,757,125,377,808,757,670,984,925,814,030,954,149,150,472,059,108,
740,354,092,198,787,717,772,215,625,975,795,894,844,504,328,399,199,549,235,
272,339,795,048,420,312,619,799,177,889,836,924,248,754,126,088,480,441,147,
779,305,203,229,133,298,842,611,148,023,554,189,223,407,723,517,890,254,410,
904,970,785,678,452,223,333,327,104,843,940,667,984,259,642,143,276,883,096,
175,311,261,104,624,242,313,618,322,459,449,083,024,651,550,015,406,308,032,
021,947,809,834,235,081,516,404,126,100,733,237,328,498,104,447,858,875,203,
740,489,298,786,768,595,185,513,218,249,893,960,207,696,831,430,108,031,763,
471,225,611,701,077,567,547,901,141,983,191,168,254,605,868,489,682,016,808,
263,714,735,076,120,227,412,158,558,681,243,437,724,890,668,182,136,504,196,
354,329,041,728,524,571,329,668,731,701,100,631,955,377,309,300,244,626,238,
992,270,672,491,270,501,268,905,119,902,134,511,706,893,952,476,352,872,169,
779,183,848,486,053,367,055,737,789,636,896,769,149,378,911,618,744,419,368,
415,621,467,722,824,821,512,401,340,199,309,592,131,258,188,691,203,033,668,
352,796,069,047,943,779,637,035,998,487,261,658,707,184,560,156,677,924,020,
087,492,457,016,537,981,745,063,811,816,668,871,006,472,558,040,737,477,744,
800,826,151,151,527,579,219,748,940,053,333,034,478,439,110,823,918,094,263,
787,575,498,204,350,041,494,625,160,579,355,915,056,335,187,907,111,793,937,
759,892,053,264,159,645,614,241,572,474,005,638,487,694,553,483,777,949,121,
735,756,131,706,692,697,979,317,714,054,890,883,127,397,756,092,524,287,663,
794,571,439,717,377,863,103,936,485,062,972,220,016,135,097,402,366,523,434,
577,904,800,626,795,530,834,903,320,381,679,240,344,761,478,423,202,180,618,
608,298,984,082,535,461,963,020,569,133,065,326,620,976,934,067,386,537,097,
247,647,180,884,693,461,256,211,363,256,106,879,408,396,348,135,046,523,159,
792,055,836,997,123,463,000,088,817,424,634,582,781,993,373,769,628,524,440,
586,896,869,063,189,927,901,615,335,304,731,959,852,776,528,300,643,328,661,
962,432,830,437,175,109,110,313,106,128,824,625,579,562,207,450,830,999,014,
262,968,468,086,734,105,180,506,824,329,205,603,773,210,127,007,801,461,987,
327,861,755,209,426,683,166,208,234,927,417,899,651,220,897,072,754,881,702,
205,972,441,935,841,275,850,935,767,806,699,622,799,371,863,730,299,028,138,
802,503,713,367,463,771,138,186,593,323,336,369,672,331,907,010,189,900,226,
429,587,446,998,144,973,336,753,723,430,419,186,070,622,781,330,729,413,503,
492,846,684,890,153,990,983,076,095,766,307,811,618,683,321,331,061,977,036,
360,704,339,452,010,142,340,562,013,516,833,016,298,054,088,819,802,400,071,
247,896,781,122,061,090,693,987,270,247,495,093,502,426,312,717,344,348,387,
455,078,064,271,184,200,242,407,555,468,569,081,518,983,837,335,707,936,489,
785,943,860,364,108,000,521,073,423,282,690,137,985,314,145,136,534,428,856,
665,678,512,600,277,528,025,863,752,927,037,291,231,756,404,743,375,883,210,
420,415,204,074,432,059,283,572,597,818,120,334,089,761,482,054,153,520,465,
626,907,576,733,713,983,485,599,819,941,232,687,660,776,357,535,805,029,070,
917,149,445,774,747,129,803,122,970,147,809,490,149,741,776,882,274,936,921,
071,068,165,821,945,992,222,729,933,928,156,336,966,545,827,282,109,119,218,
278,204,941,360,712,062,164,223,711,768,312,369,838,994,778,642,067,989,301,
165,788,349,723,377,225,954,221,115,076,070,584,576,816,759,428,021,017,699,
074,287,083,039,076,855,415,058,558,114,370,623,350,252,490,716,280,709,637,
041,202,888,011,859,639,292,493,385,575,714,813,419,686,327,580,381,379,545,
594,215,677,869,406,105,319,233,887,590,291,867,944,619,396,474,130,438,060,
214,096,247,305,545,324,707,453,435,739,895,805,538,203,142,657,264,347,008,
213,891,032,602,187,917,026,714,360,325,560,439,659,518,993,256,540,966,767,
640,045,808,058,635,418,203,064,589,651,694,523,662,205,245,950,946,647,268,
872,815,066,957,074,534,646,521,610,576,577,572,097,428,723,530,563,473,857,
536,753,899,030,571,054,140,460,000,742,806,986,277,956,247,439,355,763,559,
625,971,909,871,765,080,791,247,601,561,107,495,406,901,007,796,365,014,020,
600,324,007,457,336,614,775,909,374,311,689,144,685,320,434,395,324,404,883,
616,705,601,970,515,752,271,838,987,148,213,708,003,407,533,353,422,679,946,
201,079,736,766,563,348,894,128,786,615,905,445,423,902,001,441,478,266,576,
214,550,887,645,145,356,383,814,399,580,377,832,666,763,574,091,136,173,591,
706,695,099,166,807,565,156,356,144,263,362,539,950,101,393,777,207,672,342,
362,913,811,399,004,823,926,037,254,191,406,012,032,842,405,343,540,868,284,
613,714,903,534,417,326,952,111,981,801,700,058,422,891,106,815,419,347,089,
046,320,159,230,933,863,595,108,675,714,234,968,487,887,429,629,305,642,451,
169,371,640,558,549,300,492,728,165,753,427,166,959,194,491,271,062,816,355,
929,642,285,857,781,961,673,540,148,833,428,882,780,083,337,581,012,508,934,
764,427,561,894,629,040,143,890,144,708,374,069,652,628,256,766,585,327,337,
126,565,148,192,137,570,668,886,460,601,911,631,338,673,997,128,520,824,005,
170,445,998,673,547,355,039,402,929,138,455,940,863,472,385,142,345,176,692,
760,942,901,596,454,245,582,849,646,506,433,466,667,220,103,884,746,634,850,
574,330,973,505,123,406,923,313,469,438,314,400,314,393,618,655,235,345,067,
341,990,314,909,895,036,982,847,530,456,593,756,213,914,546,775,989,900,529,
950,355,392,614,151,272,830,147,754,106,642,295,733,017,583,524,345,332,134,
806,160,111,260,024,435,392,060,758,210,836,239,740,888,047,252,716,488,273,
609,229,526,024,998,095,171,835,103,633,973,357,717,429,098,174,040,039,558,
190,000,142,781,074,085,798,654,963,464,874,628,607,812,907,239,441,823,286,
594,283,403,918,227,176,325,001,258,532,451,205,101,616,217,556,619,246,671,
350,448,592,153,997,481,630,188,504,908,935,152,327,284,844,633,752,331,715,
024,822,718,850,838,405,066,666,113,141,760,350,198,054,668,006,871,948,185,
184,113,780,257,150,430,162,735,629,907,506,788,424,838,008,331,108,608,865,
472,193,132,276,283,059,138,256,698,892,779,951,910,232,562,518,536,438,907,
605,034,006,584,617,425,375,238,865,963,307,078,104,264,248,288,647,839,034,
551,268,152,782,874,640,431,310,203,427,546,522,692,825,250,647,688,092,788,
521,506,106,707,922,722,154,901,641,216,955,918,999,182,096,950,879,121,469,
341,774,565,656,068,816,702,793,837,140,455,367,606,829,811,706,127,822,460,
577,129,377,136,724,832,950,655,163,508,351,797,786,862,019,444,612,694,682,
775,814,495,129,414,228,804,075,662,859,541,306,627,179,947,622,809,701,396,
222,425,934,393,689,526,486,018,561,776,118,765,392,508,527,340,271,265,248,
912,741,799,444,525,884,223,432,050,215,564,488,698,953,170,215,280,895,691,
347,266,195,305,766,201,149,899,488,636,199,718,877,452,585,342,761,556,237,
821,232,786,605,177,433,769,759,631,686,583,036,175,126,279,903,127,107,684,
797,470,722,019,656,841,424,296,065,649,878,184,474,673,022,897,871,748,493,
609,015,130,457,116,974,114,882,772,524,276,481,226,760,636,574,560,113,171,
165,390,522,972,859,710,354,578,218,265,134,895,871,841,745,938,839,613,127,
131,858,517,386,361,242,841,420,561,056,736,850,009,562,712,254,290,459,932,
702,371,194,544,652,332,929,623,077,375,523,397,077,157,878,641,120,772,211,
610,602,190,722,436,173,199,433,537,721,808,490,370,623,232,920,946,493,060,
947,677,578,900,406,910,896,956,946,327,655,409,432,025,870,628,274,242,704,
956,319,490,975,640,075,201,288,475,061,842,128,021,226,160,802,319,886,291,
052,890,005,756,775,306,589,207,649,007,180,161,231,631,144,140,494,480,723,
650,961,833,396,715,841,309,224,377,630,175,344,661,434,728,129,618,655,851,
565,821,813,062,526,311,601,682,841,436,397,693,854,996,612,566,424,692,704,
760,442,455,032,991,486,599,117,081,545,735,483,287,650,424,901,909,327,367,
863,650,284,447,160,830,307,453,075,617,041,045,751,255,652,619,833,972,714,
497,102,497,449,789,260,344,488,306,730,125,309,060,027,796,994,447,891,375,
334,780,349,892,482,159,314,947,319,924,896,477,009,952,006,765,663,020,253,
081,675,973,934,722,811,543,583,426,475,773,871,523,851,979,414,864,581,417,
261,180,772,849,884,697,503,311,165,226,519,036,099,227,845,857,653,794,554,
780,997,482,846,421,219,681,610,293,568,941,438,028,561,222,718,905,868,565,
864,547,254,442,450,604,346,833,605,439,152,687,983,762,263,564,095,871,683,
356,769,798,251,228,839,086,201,418,173,028,432,593,863,226,781,618,694,421,
106,308,506,029,758,090,082,618,940,310,013,722,265,094,142,356,035,490,269,
305,089,153,906,036,351,110,929,411,268,617,442,704,149,312,044,314,113,398,
016,433,845,248,167,944,935,221,068,248,552,235,529,969,967,949,375,338,785,
561,946,145,520,653,798,118,219,842,860,458,395,838,041,716,783,478,847,088,
729,245,859,751,152,268,607,781,408,219,132,762,647,452,359,497,994,307,334,
268,429,574,497,551,518,351,085,432,956,025,737,276,466,897,450,612,834,911,
391,064,229,052,993,146,818,384,023,799,090,175,769,063,649,902,716,148,081,
276,736,692,153,709,524,097,511,202,440,237,002,469,460,907,336,407,758,486,
480,902,868,153,382,643,620,841,202,979,644,922,033,577,839,886,528,443,114,
392,962,857,642,978,568,957,442,035,350,301,314,796,360,229,093,506,946,312,
058,653,001,932,503,996,949,958,894,528,849,047,342,195,856,608,226,291,611,
687,863,987,848,802,830,458,126,120,772,167,396,386,203,491,023,403,571,075,
064,289,020,608,353,570,202,702,902,806,538,949,398,212,080,581,105,688,475,
129,476,086,306,311,685,148,841,921,778,625,186,668,310,707,469,565,051,976,
242,657,193,148,898,688,907,335,258,665,038,929,220,838,538,489,872,658,505,
298,674,470,973,217,108,707,504,691,536,247,938,231,207,816,565,629,215,600,
050,086,470,936,121,086,177,754,772,245,470,545,839,645,606,587,896,734,519,
104,158,851,212,451,288,095,941,713,870,427,551,417,494,377,467,697,354,707,
775,030,901,779,547,765,863,925,351,615,038,427,452,517,531,157,060,266,739,
241,019,405,027,225,767,321,593,000,105,197,625,312,732,784,426,406,968,634,
581,551,610,734,307,190,511,161,706,470,837,650,813,103,019,836,150,850,578,
571,148,979,009,688,824,754,394,782,276,163,100,808,476,796,444,974,460,100,
579,760,395,798,251,939,511,311,347,571,526,444,782,000,853,175,122,720,083,
094,433,522,221,477,757,288,104,482,998,297,063,864,935,463,526,120,954,215,
708,465,508,934,518,500,993,760,312,229,112,974,246,279,898,384,308,675,802,
663,639,609,003,295,795,433,818,260,304,775,459,732,806,564,064,970,939,475,
865,750,305,194,160,487,061,928,470,221,097,738,859,756,424,213,122,524,694,
153,979,166,544,812,697,085,295,708,853,979,502,987,379,133,956,326,896,645,
005,961,604,064,221,661,808,801,760,908,255,950,312,619,807,750,014,974,802,
242,214,137,099,304,111,032,227,132,295,074,239,762,475,112,821,701,686,859,
506,502,578,901,364,168,011,790,106,530,250,051,513,772,228,463,069,874,713,
276,635,600,878,577,468,989,832,341,872,682,966,226,535,631,062,031,532,299,
318,445,607,035,016,581,295,902,763,467,629,923,529,351,938,948,558,196,783,
843,404,190,045,807,439,111,364,537,583,725,097,621,915,053,216,673,551,105,
273,360,743,634,560,275,214,477,921,857,805,865,219,338,945,355,356,476,685,
480,622,776,604,278,067,750,160,658,687,122,094,018,623,500,362,622,921,190,
089,223,483,076,657,533,583,076,247,511,989,404,357,204,312,345,364,065,396,
329,615,614,077,915,014,120,019,615,790,368,167,987,704,493,195,198,935,887,
077,895,462,966,448,215,875,799,848,147,340,736,546,125,032,401,510,880,821,
904,344,874,792,393,344,345,204,416,872,979,589,608,939,193,465,038,692,001,
580,209,998,473,765,963,508,252,120,415,421,652,935,794,071,641,425,017,843,
524,380,068,697,625,831,838,629,939,987,821,076,669,657,890,889,915,671,330,
763,870,455,068,406,024,448,697,564,704,794,750,256,306,467,960,253,727,528,
276,888,672,991,660,289,350,534,515,185,115,883,725,596,602,304,354,121,238,
217,244,411,101,188,438,607,013,964,639,094,190,965,551,043,042,909,003,557,
247,728,792,467,077,912,476,001,195,420,441,576,128,342,044,343,385,577,406,
696,388,125,710,952,607,284,726,562,347,275,182,820,341,828,461,013,941,861,
652,356,252,340,975,146,676,701,086,871,037,767,433,587,834,567,871,788,705,
778,608,867,586,862,083,048,833,485,833,598,698,732,402,308,736,163,248,224,
682,767,755,757,252,189,933,442,704,758,037,679,111,506,271,554,704,607,058,
062,586,771,142,010,386,465,141,697,202,756,910,855,948,533,078,286,201,087,
738,471,971,607,279,188,122,270,338,147,705,484,872,477,051,599,143,958,832,
427,707,421,175,585,558,505,724,340,406,452,664,794,415,900,235,935,823,152,
194,304,557,811,182,524,772,568,106,482,825,668,744,587,613,299,375,619,126,
578,071,101,389,677,199,682,476,004,509,636,174,632,323,308,013,159,353,795,
848,242,864,284,972,443,983,704,599,655,563,449,337,175,601,185,572,320,072,
539,076,420,700,036,914,746,246,741,929,022,229,334,841,861,333,512,226,558,
798,426,141,806,180,054,712,619,224,579,344,861,130,783,788,183,062,496,780,
478,175,876,304,351,699,077,402,034,047,277,758,993,506,621,998,485,879,069,
365,165,364,052,118,439,976,978,101,455,271,527,180,994,225,401,527,590,985,
894,591,289,928,372,054,497,006,434,773,244,683,721,966,738,705,540,345,590,
166,809,042,030,785,651,001,964,580,004,691,660,768,468,568,382,416,183,836,
650,392,061,569,124,486,144,441,081,466,639,433,819,983,532,225,059,198,923,
499,530,337,001,855,242,815,908,903,197,333,377,213,758,761,309,099,781,917,
152,255,008,058,486,982,448,068,461,678,325,745,341,571,535,450,847,076,219,
893,342,288,959,177,443,978,997,904,521,192,138,291,635,327,141,815,334,739,
740,983,871,891,796,022,810,429,313,584,248,350,884,666,527,040,307,521,564,
197,393,363,102,014,678,452,209,339,587,782,672,400,986,765,737,575,972,980,
219,103,903,161,133,668,738,601,539,933,993,469,733,803,201,792,987,511,752,
498,121,233,626,738,903,351,620,489,002,006,471,858,228,139,945,970,277,314,
871,584,391,081,778,071,460,708,272,685,395,636,700,504,014,433,733,749,955,
916,625,300,390,845,239,773,597,924,894,535,611,468,029,558,941,615,114,301,
296,998,418,898,707,614,624,216,973,644,918,579,247,723,299,571,265,628,655,
669,165,796,828,182,551,302,946,110,167,050,073,638,706,048,394,419,334,814,
469,006,055,421,242,517,510,693,663,741,699,099,254,439,509,899,140,852,452,
413,345,077,003,377,554,362,396,312,416,797,125,099,553,272,132,005,890,739,
544,428,974,980,169,760,509,831,948,183,381,142,987,494,096,299,776,157,390,
950,295,144,607,219,534,335,069,998,055,227,421,899,632,976,887,107,388,304,
354,541,100,769,328,048,710,323,110,560,783,927,066,188,160,515,381,094,058,
537,667,363,448,822,790,830,902,797,114,584,273,125,215,931,685,969,904,166,
503,981,428,810,671,330,107,658,042,774,592,311,433,336,119,984,745,751,470,
793,822,217,236,722,987,854,167,805,412,391,899,779,253,706,897,757,133,507,
899,028,408,267,745,613,564,446,616,318,363,429,030,137,383,086,796,069,764,
331,454,283,767,443,468,698,966,310,898,665,298,871,482,125,717,102,959,371,
200,026,057,203,408,887,512,406,945,797,340,846,573,119,511,430,884,591,253,
353,315,087,000,381,079,203,646,252,343,409,859,036,274,019,101,554,786,292,
282,379,546,787,037,573,734,148,675,058,238,119,106,613,657,545,491,653,715,
509,840,008,259,617,745,469,507,435,924,234,186,644,417,312,975,929,785,915,
998,200,561,389,318,856,870,532,842,901,397,913,133,586,060,710,022,017,106,
219,342,668,923,026,629,004,670,342,370,043,953,731,018,249,636,307,041,648,
064,321,453,460,237,103,827,980,625,716,537,145,711,005,005,875,776,126,016,
906,245,975,257,040,197,111,625,351,978,978,273,432,863,163,920,144,282,006,
627,911,997,762,536,395,289,799,532,800,298,156,975,748,357,871,261,809,784,
270,470,663,186,174,584,047,747,380,068,970,783,426,502,333,416,720,385,492,
398,749,802,768,919,166,798,852,444,125,124,329,639,708,633,720,260,491,382,
296,634,304,167,182,469,673,333,357,807,165,697,746,911,646,138,298,611,163,
259,433,081,260,339,326,934,324,303,296,458,768,483,077,790,207,237,194,859,
642,137,410,579,450,261,821,947,785,980,366,099,358,679,201,898,787,577,805,
847,178,719,355,684,495,027,938,329,841,608,197,723,293,928,840,567,752,130,
920,183,473,580,664,892,135,737,843,974,140,315,984,081,297,558,917,984,438,
456,210,129,042,610,885,343,779,237,928,520,948,839,119,487,515,056,055,339,
160,186,058,964,706,823,181,950,460,998,347,033,724,706,059,586,264,372,986,
434,025,692,998,447,827,080,880,159,604,085,431,315,840,228,894,006,258,965,
331,691,373,657,966,893,155,625,932,520,326,407,646,200,322,743,311,935,508,
815,441,989,885,225,768,248,946,753,820,018,963,060,656,684,001,103,993,691,
675,067,828,340,446,153,808,105,006,172,105,217,081,946,309,933,088,448,868,
568,013,996,890,561,640,239,964,771,088,319,965,356,367,523,455,227,744,749,
119,433,097,363,075,745,623,932,581,670,344,628,089,090,602,407,043,735,709,
987,625,077,716,117,282,316,372,481,689,308,156,380,847,296,830,512,760,730,
681,781,203,993,728,589,794,860,654,081,244,746,340,301,455,546,685,855,993,
165,496,400,654,712,664,670,688,168,723,374,814,693,689,369,054,853,874,885,
816,010,119,662,966,927,967,682,533,778,927,266,702,430,692,702,995,087,683,
826,743,159,268,284,134,844,178,407,857,659,476,615,886,430,813,428,953,530,
469,733,634,094,678,992,199,656,208,515,228,097,257,639,052,572,720,646,710,
026,890,303,018,089,769,846,342,967,784,298,674,216,247,001,333,672,091,299,
302,371,204,119,419,120,248,970,477,921,208,430,330,682,521,238,558,808,455,
709,163,393,562,471,478,042,374,551,185,013,434,832,663,063,977,109,840,638,
624,281,578,937,636,036,430,574,772,254,114,255,320,479,152,539,103,766,388,
196,792,391,614,635,155,749,499,321,244,109,151,379,429,551,454,847,672,173,
736,156,870,528,571,458,306,713,103,421,025,889,117,796,850,600,875,843,845,
688,092,120,939,776,995,452,580,934,233,457,663,060,131,639,429,937,818,047,
894,325,428,793,199,304,467,185,211,903,032,826,153,252,837,490,544,566,648,
058,239,416,427,600,733,527,487,063,376,647,129,565,536,527,566,209,158,366,
784,597,260,676,769,885,599,007,387,067,855,357,704,807,133,120,125,417,225,
148,014,359,491,651,376,257,495,745,561,043,192,393,714,112,445,966,360,249,
382,965,443,376,245,875,165,245,845,858,397,705,123,516,768,942,665,127,854,
726,883,293,170,116,597,912,428,954,940,583,008,738,966,360,752,668,525,215,
045,367,837,338,547,783,910,822,342,157,633,349,445,130,837,764,402,766,230,
930,579,896,820,113,151,126,636,504,102,868,787,199,477,743,278,033,543,518,
063,639,119,075,684,079,526,901,401,297,534,379,561,937,534,724,406,976,574,
067,676,278,807,787,833,327,710,715,520,184,910,726,040,282,450,512,534,924,
138,611,347,109,590,912,480,493,691,815,481,879,126,717,373,811,551,732,468,
201,351,825,043,388,570,251,027,401,349,952,664,043,457,155,977,846,650,483,
263,768,344,896,723,239,830,455,532,771,976,378,102,415,775,903,723,425,248,
612,983,721,422,040,942,304,982,095,508,716,920,474,684,415,574,901,057,248,
428,902,764,190,798,202,661,361,303,033,432,642,368,107,054,990,974,777,171,
519,887,603,196,087,887,316,983,415,800,205,451,788,136,326,369,013,169,419,
077,512,541,629,774,856,117,384,286,787,755,126,615,492,954,527,776,967,831,
295,200,610,913,982,907,885,060,568,176,655,740,712,598,670,275,631,808,144,
577,638,804,990,248,562,398,597,190,063,620,975,927,701,714,222,063,889,005,
545,209,806,752,338,130,855,002,238,287,907,621,184,787,121,742,588,607,152,
315,136,683,198,644,586,233,061,271,186,919,001,028,712,098,521,997,979,809,
046,453,383,260,377,606,155,669,904,180,720,919,599,858,076,942,284,839,246,
754,082,854,752,519,917,826,983,127,744,307,469,933,248,246,884,481,092,446,
010,048,837,563,574,061,538,860,040,653,346,237,486,437,743,949,262,561,839,
480,523,570,207,384,986,699,414,680,082,097,829,567,356,399,019,352,159,090,
894,419,721,361,546,841,383,519,166,024,010,580,660,433,338,953,357,623,846,
571,745,087,223,320,095,027,950,558,127,645,498,156,003,063,834,373,517,980,
260,920,663,759,374,774,582,295,910,153,203,492,645,944,389,365,875,119,750,
209,635,099,301,493,047,560,159,319,693,471,861,048,985,929,795,136,656,097,
489,916,459,340,043,508,875,108,242,482,588,677,668,312,437,104,887,301,597,
502,076,341,548,311,243,816,624,507,416,822,019,268,268,788,565,718,495,818,
867,496,970,513,452,079,175,658,742,860,103,224,903,600,516,578,319,758,706,
176,088,308,968,074,382,371,153,206,980,193,195,793,126,809,590,233,441,395,
455,671,766,503,797,107,635,538,022,772,136,013,052,348,751,882,507,922,364,
356,630,490,216,515,788,896,445,542,417,791,954,405,501,623,772,487,475,372,
602,463,930,493,294,290,623,509,175,319,715,272,806,025,612,695,966,419,015,
358,434,892,291,311,992,254,041,942,232,107,370,105,837,148,670,116,930,050,
109,557,306,920,042,038,395,584,597,283,694,509,318,805,768,396,798,043,707,
465,922,999,311,357,355,649,021,973,276,284,154,441,365,805,390,808,380,547,
244,580,239,542,679,074,682,968,434,188,067,311,394,957,749,802,435,359,456,
320,618,837,274,312,118,655,184,589,719,961,154,211,178,049,145,040,137,937,
852,792,548,126,702,433,088,722,991,174,554,861,500,365,009,629,153,675,724,
117,625,682,288,695,941,624,044,789,243,617,281,892,782,641,903,784,118,914,
625,166,020,385,381,289,183,534,712,761,999,419,490,004,204,416,429,170,961,
344,643,289,474,365,817,460,502,602,744,410,731,027,655,615,423,123,625,487,
410,561,529,415,705,628,294,892,773,658,379,701,276,478,872,141,222,975,942,
814,905,289,819,163,846,719,967,149,288,347,610,851,224,801,881,233,195,430,
274,175,339,010,242,901,566,946,501,036,101,545,333,501,878,632,584,749,011,
920,419,967,463,311,824,089,734,651,115,211,756,424,164,172,111,376,182,405,
788,312,686,650,645,771,798,613,179,341,112,179,351,889,572,659,756,364,611,
861,542,910,968,841,887,305,173,925,176,766,044,898,169,726,344,059,879,202,
888,775,826,630,066,784,856,512,715,624,004,817,332,672,159,294,123,931,369,
900,124,383,584,800,697,756,269,578,891,492,639,593,679,775,658,108,790,310,
910,882,718,724,541,222,350,362,425,106,681,974,683,519,797,715,313,068,680,
057,574,988,091,430,251,520,560,883,487,877,609,344,197,857,731,735,887,738,
114,686,828,219,222,821,005,289,417,195,312,418,778,987,615,513,559,471,104,
021,830,581,078,482,886,176,434,595,679,288,090,893,992,082,836,021,631,022,
876,086,419,564,677,288,797,067,546,457,827,350,186,351,355,861,275,056,521,
373,529,306,150,617,408,159,616,564,166,227,769,023,536,752,031,808,397,941,
796,332,758,570,996,824,154,944,176,817,389,918,590,158,109,665,130,895,796,
879,678,220,539,747,837,044,254,102,134,069,823,232,622,839,233,566,297,729,
297,363,457,717,898,151,022,228,432,494,740,588,081,129,135,751,685,841,093,
920,011,905,406,775,653,464,418,642,794,990,177,176,336,935,955,858,899,002,
807,343,952,497,156,379,938,450,594,357,027,517,318,673,708,488,435,435,104,
736,900,357,706,847,736,454,320,881,919,170,206,420,832,141,641,638,040,400,
354,627,135,977,126,518,311,193,738,029,714,120,002,508,015,699,170,683,073,
254,866,321,428,752,291,650,114,174,131,879,165,947,321,449,760,234,428,890,
079,044,990,392,152,299,956,853,564,478,532,441,826,594,753,892,294,106,038,
472,208,650,300,570,925,048,643,656,590,163,150,633,218,441,111,707,672,558,
981,352,691,999,315,207,860,505,416,954,085,508,231,941,434,413,405,428,285,
440,718,910,376,176,883,100,594,528,775,304,818,503,309,112,791,049,046,910,
696,123,490,087,634,279,658,340,336,384,692,452,451,899,142,750,724,453,121,
151,231,126,487,449,607,273,372,368,501,420,089,516,172,504,694,125,415,746,
153,217,912,667,234,153,242,262,597,019,011,137,996,575,698,933,079,637,313,
556,749,478,904,824,429,999,945,250,577,321,093,548,923,032,355,907,878,614,
571,230,908,907,926,579,863,487,503,878,140,185,481,582,206,641,697,606,063,
790,817,505,968,369,818,056,720,964,550,510,280,034,721,849,406,860,825,494,
576,519,696,982,298,948,363,857,285,539,219,532,809,586,378,575,373,002,779,
264,159,276,139,468,766,403,862,485,094,947,967,460,309,449,277,484,398,650,
351,901,870,358,068,303,542,328,780,618,020,995,504,953,476,415,140,021,060,
079,392,098,607,121,350,328,717,397,564,324,746,185,890,908,463,836,245,944,
261,446,417,711,331,908,376,287,164,289,872,801,421,490,432,294,789,014,494,
624,703,995,461,018,892,673,231,377,577,166,077,095,315,041,651,081,838,341,
464,137,117,606,185,602,770,284,802,194,956,835,273,123,442,528,877,411,226,
357,109,947,714,108,050,839,348,466,117,392,524,058,805,185,160,282,084,129,
078,733,757,779,234,156,713,841,754,028,198,219,545,686,545,071,700,645,770,
541,861,139,503,390,955,597,984,398,259,116,004,683,322,350,446,205,077,649,
774,882,250,563,416,897,043,589,642,170,883,968,416,389,309,309,059,633,885,
798,240,937,810,790,022,047,561,862,531,962,904,996,779,510,460,490,769,550,
165,408,356,437,659,829,700,118,201,932,585,586,387,004,078,280,591,569,710,
562,351,518,946,834,780,443,968,893,431,576,872,301,767,802,500,550,737,551,
912,895,377,237,601,842,451,478,306,568,451,865,439,763,215,900,767,823,556,
581,629,618,825,083,350,058,519,769,681,831,075,676,972,982,921,889,834,029,
002,292,181,575,299,020,438,400,671,668,224,326,144,080,574,337,995,479,625,
001,075,078,464,170,364,776,979,425,205,024,532,119,496,303,230,744,646,284,
274,960,537,608,463,756,316,117,214,385,347,504,962,776,396,537,918,835,288,
564,691,696,805,388,866,317,810,768,400,329,752,003,850,469,252,254,937,641,
289,086,431,763,134,758,401,496,488,698,426,069,094,491,647,162,356,424,977,
740,409,187,296,005,332,248,477,308,840,200,540,499,686,565,955,695,108,315,
717,701,457,546,152,237,532,445,867,678,869,006,670,695,307,071,098,038,428,
814,649,969,914,981,493,548,694,393,185,085,870,957,832,266,538,793,696,278,
310,352,577,907,520,529,519,164,280,510,099,868,366,886,945,334,959,198,695,
212,318,188,663,334,739,753,855,098,984,040,724,455,019,217,446,272,291,577,
568,034,274,788,197,326,465,818,933,313,631,375,213,983,035,469,959,516,128,
453,775,428,998,481,863,145,325,187,470,305,482,427,300,783,873,544,131,298,
115,571,065,384,608,224,177,269,633,234,438,804,327,917,835,564,977,298,669,
923,696,619,363,156,587,783,082,781,597,998,792,156,374,438,487,702,496,343,
699,013,787,897,932,152,269,308,660,702,919,209,220,281,696,612,794,070,144,
743,357,452,187,931,796,367,277,966,447,920,233,665,687,293,694,578,345,555,
902,138,669,428,529,658,791,781,519,303,958,793,124,026,179,924,672,235,531,
848,542,226,974,678,080,314,358,853,009,684,575,454,020,608,213,337,944,190,
500,690,728,845,055,553,265,027,005,035,122,693,148,873,003,775,855,683,027,
826,485,212,081,903,728,200,052,203,613,079,727,722,464,826,155,359,526,773,
788,090,987,720,105,595,150,652,977,118,878,390,739,586,931,053,597,896,599,
771,336,572,877,576,528,717,774,923,386,002,907,895,216,846,654,011,211,955,
573,050,049,032,040,898,455,258,258,851,905,092,307,845,698,736,703,751,406,
648,523,800,105,690,570,787,128,183,333,561,871,170,130,601,585,307,558,318,
069,876,003,749,367,563,568,313,994,863,335,711,751,345,431,822,913,177,909,
028,345,191,175,311,363,904,783,424,855,065,955,825,759,855,817,613,411,632,
972,200,898,190,457,973,367,746,555,720,343,153,543,014,100,693,883,537,643,
458,171,428,471,595,697,269,195,722,746,374,287,759,570,691,777,149,631,744,
761,661,992,100,978,433,078,466,990,886,851,374,336,774,868,188,980,784,663,
520,376,217,959,566,717,333,054,369,794,472,352,048,583,202,598,801,656,939,
085,502,775,525,219,936,250,173,371,639,810,754,812,825,637,889,904,464,427,
319,675,305,060,438,538,047,239,556,467,460,664,430,527,114,037,254,062,269,
468,750,386,676,982,325,767,381,925,279,015,888,548,352,087,997,851,768,725,
626,886,735,250,997,382,868,296,559,281,499,413,539,969,364,570,883,078,028,
098,814,919,406,287,186,751,746,981,130,148,589,632,127,749,782,035,288,594,
208,134,310,434,446,039,367,765,525,653,043,696,076,248,424,491,711,484,078,
286,594,306,143,830,594,335,773,418,145,599,223,995,553,870,324,470,744,401,
895,100,377,238,352,853,812,610,601,859,689,737,373,145,612,835,493,810,121,
576,395,971,320,020,515,366,999,340,924,438,796,957,514,255,887,353,152,341,
955,973,710,833,274,870,097,281,175,898,235,170,514,252,619,533,304,033,961,
498,691,619,731,288,989,798,142,274,702,096,229,302,230,437,499,226,962,070,
005,625,834,662,601,041,360,708,653,716,511,906,430,081,456,824,412,318,174,
237,653,358,341,189,205,219,241,708,048,036,534,104,529,017,578,921,985,869,
055,942,449,786,390,073,059,111,760,654,922,137,057,880,145,444,460,124,073,
827,711,813,414,607,214,423,095,743,935,517,377,436,250,726,244,647,077,753,
377,075,618,048,731,486,092,863,314,464,384,518,431,133,858,033,889,647,935,
397,054,255,572,191,009,151,231,584,525,309,319,789,066,164,522,637,188,772,
954,179,746,408,315,630,848,657,047,965,317,458,855,776,615,504,026,532,424,
366,977,782,862,227,859,854,125,749,457,147,525,958,531,175,840,768,061,743,
153,659,148,262,771,949,876,330,778,504,518,337,754,814,030,820,549,832,399,
670,006,457,771,833,559,801,245,217,488,706,981,013,898,456,599,540,021,569,
843,437,591,227,424,682,598,959,830,620,633,966,284,989,150,194,665,635,813,
265,758,744,747,585,408,953,091,929,728,375,406,076,702,912,228,807,459,034,
751,332,137,564,563,010,754,516,366,256,898,901,285,744,510,780,101,890,428,
598,513,055,865,414,632,504,992,108,206,970,745,344,292,714,875,077,326,078,
594,045,982,064,717,339,209,106,404,592,663,541,103,322,873,438,557,923,002,
175,808,614,502,367,025,473,130,896,644,234,036,395,378,810,518,683,205,208,
146,206,928,850,558,067,951,007,030,009,345,906,244,766,354,210,338,116,381,
819,746,644,648,732,850,069,694,413,335,177,787,721,521,230,299,688,790,976,
635,618,633,966,243,488,042,823,010,970,329,589,323,955,626,769,122,563,785,
693,721,327,342,345,671,303,672,136,231,746,511,095,533,476,630,317,559,672,
981,134,283,367,819,332,918,705,448,274,421,952,264,959,095,497,931,489,381,
646,876,071,180,245,103,370,291,066,766,357,640,304,460,321,928,149,219,184,
138,723,107,390,573,587,140,037,558,279,488,459,171,770,437,426,430,428,853,
048,682,918,019,175,477,121,838,449,415,436,235,153,971,054,229,886,883,408,
309,436,889,752,006,495,820,574,822,513,259,831,098,250,633,237,769,981,820,
560,510,567,547,367,560,857,392,696,559,336,214,631,712,098,406,505,953,997,
041,251,424,474,732,400,157,442,174,661,748,793,710,778,660,826,516,069,835,
206,002,285,391,527,857,220,948,242,097,787,701,264,497,993,557,605,380,622,
459,744,088,330,048,470,964,440,973,089,612,657,604,858,216,686,547,595,723,
442,055,933,148,184,419,311,038,406,749,273,305,946,507,828,849,893,911,786,
606,317,843,743,887,928,890,569,509,562,360,755,426,615,566,826,675,931,602,
446,752,924,613,630,220,406,280,305,261,399,152,144,077,401,102,483,029,578,
471,039,198,734,171,752,260,111,490,087,470,049,787,492,743,521,427,682,822,
499,069,336,147,861,905,087,598,545,016,503,330,943,986,314,194,212,752,442,
023,882,116,784,026,003,126,817,724,553,756,467,174,600,747,114,932,122,175,
007,473,268,297,027,794,155,760,430,541,803,796,651,288,541,564,034,869,020,
853,777,991,008,731,461,310,016,519,787,636,998,179,326,929,375,902,042,973,
897,323,038,469,378,743,252,205,698,031,006,859,671,565,075,077,815,642,679,
166,498,341,336,482,906,062,519,610,466,253,273,582,764,707,867,896,162,194,
007,965,495,219,469,337,373,456,729,114,640,712,604,690,408,677,785,818,539,
084,801,979,276,633,092,299,975,442,126,240,087,779,207,698,823,636,646,508,
148,411,090,519,182,694,342,198,296,920,223,180,548,592,671,683,623,998,013,
493,858,006,646,871,493,445,955,411,770,295,141,878,003,344,407,628,050,579,
900,835,785,117,095,147,622,738,340,843,170,299,195,723,479,021,857,170,428,
140,314,526,762,283,622,116,833,843,931,092,982,299,625,707,783,861,305,106,
559,546,844,328,446,069,377,837,099,564,763,580,154,961,583,105,852,833,928,
629,884,736,555,275,985,704,265,955,498,992,699,544,913,966,194,757,944,454,
201,862,136,452,290,787,871,833,898,136,998,323,140,017,764,260,285,690,717,
170,039,750,782,920,841,594,911,675,574,610,835,848,759,076,157,150,758,092,
419,827,839,672,661,214,203,018,786,514,139,788,554,957,679,810,377,379,987,
427,118,006,002,725,511,104,092,813,726,646,624,994,325,138,411,962,602,960,
523,230,772,352,090,588,794,285,004,675,956,444,274,903,295,904,770,245,500,
831,872,032,542,776,519,427,307,666,370,353,286,871,111,763,683,067,872,218,
114,933,510,648,131,616,707,468,700,320,336,257,611,481,011,225,580,480,363,
047,893,973,237,268,810,215,317,978,648,655,195,029,969,705,390,795,706,585,
740,800,303,892,263,083,468,905,627,355,863,703,775,408,994,407,547,609,244,
661,970,193,636,510,727,097,305,434,790,975,280,481,657,096,856,149,382,969,
742,213,362,879,144,900,508,503,513,828,473,256,262,973,235,168,882,788,771,
107,112,482,074,798,732,426,980,288,731,772,410,491,662,866,127,556,862,380,
718,235,578,798,748,947,447,431,197,979,778,694,645,244,207,632,298,355,719,
815,931,038,028,430,923,038,517,896,665,496,339,627,722,586,958,338,448,103,
045,740,119,170,208,378,177,890,610,561,947,427,832,260,947,925,796,499,039,
202,176,506,436,585,503,701,257,238,017,152,297,362,539,794,326,604,883,443,
285,790,126,629,639,634,016,601,613,307,181,330,383,711,161,071,342,862,301,
634,934,033,730,019,022,404,928,042,297,408,416,917,966,853,718,294,691,027,
855,155,502,075,737,041,461,168,135,220,250,088,516,833,177,338,697,161,838,
102,556,334,613,625,490,651,877,247,949,229,800,810,947,804,775,480,010,315,
858,108,813,707,898,767,668,141,547,048,025,014,217,497,482,031,679,150,103,
922,006,918,602,657,795,953,806,265,794,768,218,035,076,520,999,963,841,861,
502,206,705,592,981,621,228,521,457,377,018,837,431,520,379,525,521,253,340,
779,205,194,678,401,575,722,216,045,986,904,349,518,416,921,460,348,945,961,
691,386,434,002,473,074,134,787,309,168,549,253,366,206,824,083,750,188,198,
251,673,149,239,437,255,256,122,445,863,751,482,636,194,307,506,581,798,957,
767,911,774,996,958,808,263,717,680,759,734,410,304,170,911,707,348,023,659,
443,746,627,242,753,590,279,927,597,488,012,132,537,786,681,533,731,382,860,
598,705,951,017,496,762,327,427,398,974,984,075,277,641,933,824,975,271,647,
325,096,184,160,818,016,885,813,749,651,070,688,285,676,377,044,671,025,918,
452,589,936,158,915,507,599,309,287,124,746,529,965,579,667,542,998,281,168,
598,958,008,927,403,450,667,578,739,233,883,908,651,304,003,943,242,899,659,
957,871,840,559,183,289,982,408,907,093,857,495,942,904,298,975,672,226,309,
760,059,238,700,421,927,129,215,625,819,682,078,854,927,552,627,869,549,814,
954,337,462,185,119,522,904,259,617,826,520,294,917,520,560,882,040,383,133,
743,035,612,275,937,235,614,223,070,629,719,732,147,315,223,558,304,107,926,
417,646,696,829,711,516,597,381,022,604,237,432,826,995,185,886,205,891,442,
120,826,179,393,289,357,836,817,190,066,412,002,288,853,072,869,173,175,010,
744,622,662,881,307,132,144,235,286,367,644,062,514,966,683,401,194,234,230,
594,811,218,195,227,677,919,330,576,208,529,320,938,369,946,000,065,139,144,
946,201,401,075,380,868,431,444,176,484,466,598,110,697,289,038,525,762,511,
849,895,842,479,714,075,678,054,360,333,656,459,215,770,705,192,826,529,231,
518,547,821,901,135,221,828,724,019,274,121,778,925,899,214,384,616,928,474,
532,964,710,798,526,190,097,462,442,422,952,337,105,785,552,893,570,227,369,
406,561,926,036,893,310,752,675,884,213,228,239,866,082,842,026,996,034,651,
924,221,360,141,470,152,965,733,789,043,023,132,301,919,475,933,407,793,931,
691,893,776,349,361,616,202,697,156,982,899,281,862,928,043,804,234,520,778,
643,417,859,059,031,438,043,084,632,022,136,307,929,335,166,213,557,315,383,
139,144,768,318,940,012,246,125,663,050,929,764,388,207,026,325,337,887,204,
751,625,294,465,108,112,484,826,291,685,444,573,326,379,869,471,016,385,221,
637,133,403,052,313,529,745,291,832,397,872,784,536,180,355,367,650,463,977,
347,758,331,865,876,164,738,566,411,797,600,392,705,136,504,094,701,614,271,
749,131,071,866,379,560,434,277,407,788,406,555,460,296,314,281,235,548,247,
107,228,788,717,792,156,680,967,433,737,953,502,914,036,045,968,109,983,373,
676,842,624,471,939,688,395,350,604,312,605,863,171,697,067,018,982,396,046,
394,404,005,103,712,536,212,233,837,524,990,321,347,710,054,710,166,641,629,
833,571,583,655,607,728,236,272,595,259,756,463,256,741,495,177,437,385,213,
640,768,181,559,894,219,559,988,984,871,127,437,141,594,626,035,226,452,467,
781,991,692,250,580,940,179,495,017,849,064,980,705,050,446,171,220,846,910,
709,056,061,484,635,716,664,826,062,916,029,099,246,767,402,445,685,841,807,
380,979,074,244,154,070,710,998,536,581,514,223,767,277,812,960,266,891,388,
353,526,090,636,022,682,219,671,047,601,469,218,627,772,456,812,741,575,525,
736,697,108,453,946,815,732,462,367,445,122,908,318,894,976,172,056,710,481,
088,856,940,876,979,974,066,422,854,634,913,597,119,355,108,947,506,267,508,
232,660,220,480,067,701,803,233,018,700,831,184,499,457,744,351,696,084,121,
301,940,017,126,707,637,731,685,222,202,753,941,359,956,409,978,202,596,373,
451,675,788,465,923,274,869,234,823,293,577,901,846,618,990,257,836,594,020,
013,099,812,098,965,783,500,213,858,754,389,414,380,549,608,971,878,272,578,
327,449,246,620,472,571,226,532,341,608,516,996,426,779,098,106,917,644,729,
783,919,034,042,893,137,348,645,334,992,851,145,557,394,703,534,075,051,099,
540,025,880,358,936,752,001,323,273,399,629,626,334,479,753,431,518,817,964,
795,565,951,516,814,501,870,909,100,407,021,912,800,498,620,501,841,244,323,
819,331,889,938,370,922,120,157,558,763,144,066,982,578,134,470,721,379,125,
278,844,997,879,327,495,625,685,774,759,644,452,391,935,250,149,160,540,072,
333,782,403,350,301,927,595,996,286,229,120,593,071,332,615,539,096,815,805,
957,756,386,455,932,257,601,159,579,080,598,729,847,600,473,424,477,329,218,
257,739,571,795,907,036,984,394,391,734,980,092,355,029,646,590,130,325,864,
658,047,793,853,258,623,987,981,478,032,061,050,991,600,592,902,632,237,528,
443,882,181,508,005,217,733,158,431,144,524,286,982,345,439,731,902,775,818,
026,609,034,252,380,397,994,497,021,805,382,629,377,424,406,731,714,059,211,
383,298,070,848,320,314,577,490,948,246,214,951,066,753,463,076,237,790,797,
846,727,567,008,197,268,408,096,967,781,110,229,826,921,236,470,188,230,485,
640,352,103,513,814,810,505,758,286,872,272,220,120,588,073,017,997,135,311,
308,099,565,605,975,490,913,394,509,951,529,568,007,108,931,121,537,182,574,
376,854,128,744,279,599,304,312,344,621,679,887,526,291,880,310,203,429,000,
844,903,308,660,085,295,146,433,564,220,580,607,756,216,594,881,065,143,727,
278,769,491,302,519,166,522,401,991,547,400,927,381,683,794,104,758,776,331,
454,279,977,628,932,325,660,287,795,767,993,705,384,055,545,715,706,327,887,
091,666,882,392,069,304,574,249,817,663,296,977,525,292,915,250,939,853,330,
287,043,954,843,264,167,573,360,927,540,687,209,048,129,636,081,048,319,547,
012,800,487,503,723,565,211,441,989,839,618,237,769,008,674,177,151,218,351,
718,430,920,116,448,365,573,024,217,076,917,633,993,458,368,889,959,120,289,
606,145,762,278,969,401,964,125,361,815,700,493,602,993,690,253,227,256,925,
801,207,744,249,692,074,625,836,294,051,286,256,484,918,444,522,085,490,842,
587,503,487,538,497,615,861,545,816,795,482,469,204,280,095,006,186,637,280,
752,382,045,662,836,139,771,769,468,532,657,571,110,575,431,462,167,972,325,
775,017,817,243,127,509,210,736,175,202,232,190,624,475,967,545,498,327,927,
311,333,589,381,289,188,516,275,527,661,684,551,124,000,881,926,284,463,304,
849,556,814,604,508,182,093,490,760,837,002,375,753,138,843,528,389,243,308,
964,656,709,878,962,851,918,899,150,871,459,640,859,020,230,308,272,289,556,
786,000,741,480,302,066,239,635,694,627,474,067,901,231,877,442,429,037,121,
565,048,107,375,814,400,817,296,240,882,534,209,289,389,843,445,518,682,230,
564,426,138,910,166,938,375,244,038,511,444,046,946,096,358,084,955,890,715,
168,925,179,417,410,093,812,059,794,434,635,828,881,422,092,094,658,067,921,
891,875,308,671,215,281,157,665,396,016,650,736,292,282,324,607,300,592,064,
740,850,878,631,854,155,026,303,907,304,157,218,113,870,780,046,609,754,908,
627,888,857,323,727,081,628,858,220,419,286,450,999,829,120,870,699,627,979,
489,483,677,243,160,716,657,616,365,537,366,117,797,357,900,807,292,389,634,
375,013,509,077,430,363,644,165,839,022,208,448,071,736,001,801,549,790,187,
927,269,070,751,421,672,942,648,811,055,250,503,307,215,565,568,862,749,829,
844,388,728,384,867,630,885,698,900,183,917,510,701,496,035,715,354,070,234,
683,013,628,009,577,467,467,877,691,293,903,578,138,477,309,362,013,831,609,
079,962,684,310,742,930,240,135,598,251,592,328,529,775,445,621,487,123,955,
038,768,923,201,413,011,438,633,505,836,045,428,605,531,639,844,166,383,321,
187,609,641,975,097,517,826,395,764,546,854,931,606,617,926,287,725,302,685,
240,182,815,456,576,085,966,810,177,313,609,314,228,408,242,249,140,179,492,
972,723,540,495,589,426,581,572,730,089,792,007,164,238,616,614,359,216,653,
860,387,631,068,291,887,112,646,664,972,505,848,234,642,429,862,690,076,146,
638,215,222,096,516,053,235,717,248,209,127,433,870,866,021,407,511,830,909,
887,165,314,727,136,051,501,542,238,017,422,154,522,333,952,942,846,001,075,
686,098,140,313,305,205,710,420,270,881,845,752,996,099,868,076,893,866,619,
207,323,723,491,485,969,366,943,357,645,163,314,616,090,189,289,712,952,896,
350,636,092,823,861,138,757,187,543,300,176,342,614,528,441,430,885,262,130,
427,228,714,688,521,232,759,151,520,257,649,972,702,672,381,380,173,923,563,
094,284,679,927,641,158,825,124,423,934,723,562,780,638,147,949,724,439,335,
795,022,148,577,905,729,096,561,813,888,297,425,800,559,661,781,433,504,465,
124,086,565,820,553,985,637,444,811,333,594,222,416,021,747,390,957,947,749,
570,724,451,150,005,250,649,327,507,941,962,816,207,294,853,211,119,588,494,
719,068,451,780,560,234,035,899,767,039,595,375,182,627,063,079,705,655,564,
231,236,082,237,900,042,434,943,382,734,535,336,333,065,968,092,268,261,600,
580,080,527,693,010,907,144,603,579,040,786,068,105,086,544,939,166,718,594,
463,933,135,394,603,238,395,815,659,241,507,351,896,766,570,358,411,879,042,
103,291,883,449,334,511,914,535,850,280,966,387,795,860,720,626,522,071,859,
986,538,492,370,014,650,430,700,841,243,328,653,964,093,670,521,553,403,682,
679,596,383,426,552,387,366,675,107,134,962,047,719,504,934,437,423,016,990,
775,833,106,054,440,896,670,193,046,576,365,357,623,395,905,005,126,779,030,
357,579,830,944,162,919,089,282,198,161,569,061,040,680,349,550,050,210,148,
186,907,871,741,694,681,227,657,181,498,855,345,598,460,564,477,134,088,748,
461,265,562,294,671,882,881,801,364,817,722,475,400,868,518,998,591,357,650,
110,435,135,895,231,692,330,526,306,433,688,142,417,081,903,262,114,218,461,
088,267,422,874,655,764,373,140,033,751,055,599,884,167,303,647,930,809,272,
035,390,353,434,176,041,714,429,136,598,329,215,080,499,787,112,408,678,483,
670,683,620,890,951,607,788,825,377,347,051,019,619,832,968,457,084,269,493,
650,841,296,995,863,133,695,973,399,216,898,639,233,937,592,092,139,565,067,
059,309,157,943,906,596,424,524,669,612,056,268,164,504,877,547,347,792,334,
489,957,409,857,245,579,029,640,851,219,493,365,859,111,738,139,510,602,772,
280,222,757,204,648,521,134,556,829,843,307,036,691,811,256,069,482,000,059,
539,283,767,319,609,615,411,694,422,526,816,256,891,157,091,173,665,842,718,
469,625,978,780,511,303,503,020,371,816,093,326,685,826,737,943,981,307,365,
737,988,537,460,807,512,860,715,924,266,764,659,206,025,114,386,100,028,865,
474,032,014,168,578,812,244,070,290,645,884,544,489,040,786,403,006,025,535,
902,558,697,644,745,407,311,599,046,479,268,760,367,524,150,960,121,220,173,
176,593,129,394,007,340,364,635,395,812,313,604,484,636,854,568,815,561,164,
886,052,961,878,184,261,276,231,656,231,978,794,612,274,432,836,426,795,211,
432,421,933,787,935,564,965,181,056,332,734,625,128,192,293,658,066,477,999,
390,172,501,836,795,029,497,929,996,147,009,971,700,131,449,368,243,529,152,
203,427,540,499,640,584,227,326,932,531,127,346,046,641,075,219,012,137,232,
758,865,298,935,344,856,330,950,746,838,718,612,590,531,737,415,835,009,295,
672,160,590,408,412,863,602,431,385,017,683,959,787,158,507,922,127,101,986,
827,082,082,925,564,780,758,416,894,172,394,355,928,090,839,706,443,694,909,
586,022,519,653,697,455,464,863,269,486,136,808,526,442,824,514,064,538,974,
165,573,759,578,357,462,126,650,165,392,117,378,556,928,652,897,168,874,490,
395,808,329,856,015,665,384,354,058,409,990,346,135,592,626,355,893,014,934,
162,244,900,277,397,460,525,991,192,392,868,825,082,234,531,185,662,462,526,
190,690,656,662,952,975,756,498,468,026,237,334,796,652,319,096,954,391,674,
600,664,092,695,452,349,807,869,655,822,444,420,594,914,035,499,151,647,272,
104,395,823,456,477,514,525,492,651,128,478,211,590,243,994,375,358,426,652,
834,262,186,224,481,933,251,954,298,891,376,787,519,301,254,299,965,195,244,
664,049,425,368,201,219,937,971,471,058,592,433,988,231,240,301,799,306,759,
822,403,781,053,861,768,032,226,151,769,741,211,954,461,512,674,352,015,683,
208,675,674,409,825,372,864,779,697,436,314,155,501,704,754,391,230,787,184,
216,465,072,088,944,381,802,752,887,831,676,018,866,283,603,770,147,350,497,
219,819,712,098,468,330,823,996,868,977,743,161,676,441,396,963,393,276,096,
234,054,307,012,725,427,424,785,762,167,072,545,129,314,633,292,278,784,704,
364,980,003,680,902,933,401,341,421,354,403,352,750,088,637,642,981,578,898,
160,615,652,135,103,595,457,249,893,067,768,749,584,210,573,589,220,203,592,
551,593,829,251,601,726,054,150,401,569,384,493,469,264,198,067,130,879,486,
725,324,831,527,203,973,718,883,923,786,550,859,679,824,363,266,038,528,300,
995,761,610,126,584,573,851,788,622,972,660,933,813,544,102,403,591,960,460,
070,921,951,323,787,131,253,500,778,525,265,384,129,202,987,346,594,498,842,
250,611,478,225,990,204,788,542,420,606,323,951,491,849,626,734,929,407,594,
898,814,417,156,021,735,118,508,707,204,537,749,733,839,044,228,192,355,626,
787,961,147,292,518,104,801,878,337,230,032,337,308,173,658,750,029,940,790,
705,600,085,808,389,819,796,002,558,472,111,262,969,241,390,671,344,024,864,
071,266,930,988,027,529,717,905,709,472,576,458,570,353,299,798,091,293,924,
887,739,104,165,159,747,555,967,412,638,074,640,755,017,870,955,574,573,859,
454,727,393,894,169,094,919,088,859,495,527,656,663,500,711,424,096,846,903,
381,716,696,731,662,122,072,304,503,120,397,977,384,164,614,542,792,362,976,
096,983,872,729,748,875,897,421,643,705,008,875,443,010,193,766,292,891,964,
498,636,913,085,206,127,808,679,566,733,067,487,656,945,774,658,294,128,871,
039,049,573,107,577,765,684,743,524,868,022,597,131,872,407,976,353,083,929,
721,498,492,238,744,235,719,664,274,104,413,229,024,840,026,422,716,390,962,
370,453,976,793,818,456,048,774,769,764,151,882,542,012,207,415,319,329,514,
058,837,729,488,076,022,540,521,228,239,283,352,170,869,783,150,034,962,494,
968,096,595,823,931,383,661,693,216,585,930,062,392,744,675,306,136,921,142,
009,738,561,176,503,294,514,667,638,453,292,364,686,797,569,465,519,318,177,
795,301,275,999,043,030,111,979,148,443,404,865,854,959,805,106,322,881,500,
881,451,220,064,009,821,736,224,946,003,012,072,211,481,620,398,043,512,460,
046,366,408,450,419,613,469,433,283,792,687,291,538,429,188,949,678,218,221,
922,501,901,834,071,306,292,710,569,622,484,717,040,031,088,356,539,804,736,
141,265,834,127,706,727,957,255,947,173,539,524,850,050,806,019,603,147,537,
733,240,957,413,235,361,351,370,022,125,211,947,570,239,645,728,650,344,535,
868,428,361,551,582,677,125,849,500,300,659,347,245,530,073,703,205,781,573,
997,071,040,958,484,015,886,827,850,950,952,036,631,370,263,499,189,378,555,
654,150,345,784,039,475,196,763,987,350,527,362,680,954,028,136,578,025,181,
171,312,479,331,061,518,885,932,762,765,859,082,278,440,487,872,791,462,341,
482,495,494,776,515,776,957,351,628,649,354,328,339,666,560,562,421,772,205,
274,095,575,843,689,033,742,808,201,036,342,258,398,519,770,212,187,327,545,
060,335,183,841,196,187,196,253,039,743,940,938,722,594,653,205,470,459,023,
091,157,901,702,421,637,879,220,816,428,132,514,377,949,412,118,503,684,208,
637,412,879,337,789,547,855,947,089,735,810,792,039,713,364,522,381,325,700,
177,777,630,176,328,609,558,595,195,920,806,378,328,825,704,199,077,437,934,
722,104,670,229,357,657,364,989,757,681,741,088,495,153,227,196,941,467,175,
069,219,090,293,441,350,889,692,520,060,381,467,412,275,919,821,347,558,605,
981,808,324,987,221,548,019,229,436,228,080,895,545,660,344,895,283,369,017,
262,520,129,770,636,036,122,552,028,907,218,631,514,756,553,094,397,012,256,
317,267,036,370,149,991,968,764,627,697,981,825,561,782,178,353,212,568,217,
958,764,430,893,447,085,357,471,821,120,200,808,308,359,419,966,053,080,624,
270,621,595,856,362,004,935,410,265,113,068,077,409,952,543,313,370,915,891,
642,639,971,903,233,870,239,032,064,795,002,223,445,966,816,371,044,034,382,
686,243,869,130,660,614,989,737,010,913,658,751,889,751,587,271,280,805,415,
591,371,234,319,177,115,153,488,820,193,583,821,749,104,758,546,631,892,372,
007,157,988,430,122,366,147,872,622,807,673,737,176,413,467,701,971,085,076,
896,987,082,103,561,801,607,833,123,793,802,764,239,892,322,319,046,572,915,
738,979,403,286,848,883,189,058,574,530,058,321,635,574,607,181,089,077,849,
474,058,573,762,564,718,077,616,085,311,976,245,459,683,587,218,284,383,756,
428,786,156,602,078,039,632,665,805,784,649,880,384,944,866,364,975,255,943,
936,999,116,199,877,031,806,226,744,850,166,515,383,198,785,941,498,754,623,
852,817,202,327,371,387,795,865,090,378,781,637,662,057,013,850,105,704,235,
077,965,991,484,069,899,866,625,711,500,849,504,078,758,463,783,501,603,534,
834,631,120,028,960,878,805,254,180,009,828,162,592,378,652,844,865,736,812,
990,996,490,846,398,971,629,707,785,177,581,457,823,835,131,327,494,315,749,
080,707,978,153,010,740,462,624,520,445,487,804,259,594,555,139,500,183,688,
137,617,585,285,371,799,130,423,764,408,877,276,236,584,664,900,230,257,450,
975,161,100,382,961,016,261,962,985,356,597,839,518,564,769,509,314,656,328,
165,174,361,818,347,614,103,772,605,519,165,020,166,834,438,573,557,849,647,
881,210,324,326,607,072,399,606,212,873,091,443,409,779,571,803,879,673,884,
218,645,566,696,010,254,939,944,051,554,348,318,710,095,456,088,324,593,581,
294,901,956,703,396,406,120,748,608,339,172,325,328,014,544,011,677,019,814,
176,131,034,094,870,578,692,206,486,746,555,494,195,810,394,502,748,388,386,
902,967,431,920,776,392,055,437,627,479,528,752,925,560,559,994,056,687,060,
536,379,576,289,055,335,397,427,897,651,252,308,511,435,913,182,090,907,959,
679,019,416,269,717,944,546,841,417,100,265,199,006,499,498,438,843,793,008,
202,369,854,096,527,302,845,201,269,949,740,414,145,294,844,792,354,881,632,
603,990,607,901,015,034,626,793,372,853,774,750,563,611,379,674,453,368,278,
829,555,226,330,217,769,145,710,790,542,845,525,997,131,330,835,636,606,941,
427,767,934,582,905,364,741,280,013,602,002,841,683,341,876,056,852,947,325,
153,426,987,874,854,262,890,631,334,133,390,905,844,290,381,848,684,395,509,
103,444,173,426,560,920,488,633,271,023,650,848,579,667,890,709,481,430,456,
250,435,894,489,218,934,995,631,497,473,559,728,818,193,488,050,040,778,583,
742,700,560,532,501,846,224,241,702,671,584,433,751,145,232,529,349,576,734,
593,821,070,000,256,927,749,321,885,027,646,752,210,371,246,490,218,600,501,
281,534,638,647,602,603,927,276,992,285,507,061,748,304,312,828,115,358,514,
420,734,900,108,057,250,339,738,051,678,526,371,300,959,769,815,197,015,142,
438,189,717,502,375,099,910,187,602,342,601,833,189,733,565,943,679,758,695,
957,049,832,617,889,619,718,543,457,078,420,708,557,061,921,353,901,548,874,
661,573,746,797,067,320,185,001,822,751,209,997,461,822,860,594,400,769,990,
901,516,263,533,584,012,654,068,628,679,118,094,429,879,132,724,862,240,829,
224,930,159,750,001,729,699,409,522,950,677,884,613,305,877,527,851,223,857,
263,690,385,127,990,221,541,265,805,676,277,671,552,464,791,063,473,826,602,
956,105,039,452,439,883,160,089,485,074,893,376,374,817,902,045,401,949,575,
811,095,946,321,365,814,264,805,643,199,923,814,532,354,196,804,111,266,191,
953,743,158,236,362,496,048,937,481,182,699,959,500,386,612,614,136,166,604,
573,638,000,438,138,370,374,173,943,342,311,013,721,000,424,899,911,728,079,
130,572,367,422,886,226,829,806,534,973,912,142,108,433,365,102,289,943,474,
399,062,231,235,056,344,212,811,968,333,184,325,078,603,204,783,274,500,379,
503,244,554,961,690,247,438,996,950,731,843,839,796,100,425,023,337,200,699,
466,556,665,976,637,155,063,205,217,294,318,308,101,124,161,858,238,227,553,
006,172,837,670,620,305,079,991,364,157,994,948,506,842,717,679,633,693,875,
061,789,621,995,440,357,142,219,248,955,850,813,562,529,919,519,901,179,744,
902,514,222,904,926,917,648,472,572,993,597,887,484,046,348,694,105,918,764,
192,077,608,195,149,148,702,877,788,756,298,540,871,217,663,637,774,700,128,
351,293,405,232,579,805,809,449,763,801,570,825,461,861,223,643,419,470,199,
748,212,540,043,957,154,510,400,303,325,711,372,695,012,571,441,516,913,106,
722,087,557,301,218,961,595,586,033,600,779,971,150,768,203,559,716,285,179,
956,952,812,694,695,660,462,762,840,366,835,204,783,168,570,455,904,104,585,
871,068,639,063,398,346,325,905,126,104,199,468,070,411,498,043,444,327,358,
495,573,179,249,993,070,525,472,969,391,627,219,749,562,893,627,385,549,605,
910,199,978,588,498,859,786,168,376,460,604,724,963,919,992,620,699,272,531,
952,270,013,255,370,209,602,742,112,641,468,988,689,450,073,612,112,840,474,
402,850,593,169,456,089,648,802,999,916,960,041,468,893,980,408,339,739,074,
108,866,038,045,973,092,547,102,982,057,641,429,256,935,120,761,766,280,526,
927,557,904,342,395,811,590,426,126,136,277,592,457,243,154,871,010,413,878,
071,176,002,667,559,879,844,768,416,621,818,731,762,572,424,031,747,682,960,
979,521,134,307,517,791,511,450,185,403,722,557,966,517,918,538,357,999,521,
625,194,253,053,637,715,729,726,168,454,199,760,371,500,471,687,930,798,773,
044,874,111,308,455,359,932,066,953,587,937,941,280,029,058,296,126,413,425,
235,810,157,748,679,716,922,745,131,776,911,944,215,767,042,932,569,538,934,
903,017,489,662,896,563,803,188,023,838,710,142,736,864,673,117,349,742,518,
534,048,566,239,173,635,138,740,121,272,811,731,737,446,944,598,686,115,655,
191,775,539,136,053,808,987,048,456,238,601,342,357,230,146,306,364,496,345,
997,214,795,532,824,521,787,234,942,060,754,679,889,973,059,683,375,273,821,
938,661,189,847,065,314,944,472,606,645,748,765,401,386,898,236,038,622,000,
453,437,033,351,690,551,794,155,046,848,770,128,866,531,719,591,226,756,836,
017,709,572,039,940,405,222,026,629,114,323,038,692,919,822,759,593,044,410,
509,473,817,353,058,375,131,888,411,426,515,204,239,078,782,473,953,550,651,
676,632,970,303,589,797,897,106,509,310,944,273,605,140,613,515,357,768,702,
725,835,224,120,126,530,027,211,423,118,081,470,448,345,955,128,887,047,132,
855,543,830,953,443,480,522,382,678,177,612,901,932,231,655,447,973,871,914,
765,520,115,774,502,967,999,209,627,248,485,554,393,966,704,046,327,180,389,
503,807,208,008,055,466,201,682,013,038,912,363,542,988,698,295,447,546,518,
755,714,466,295,591,714,816,847,515,282,469,126,282,355,017,014,961,738,182,
018,874,973,795,105,562,376,846,086,037,645,571,153,673,177,104,228,694,800,
445,339,779,244,401,162,305,573,624,052,182,109,396,412,014,094,891,795,398,
852,814,197,680,298,727,604,111,248,895,895,123,457,908,319,776,098,793,209,
018,302,649,811,259,820,678,031,321,838,961,441,522,428,549,668,300,897,716,
315,262,835,753,729,243,131,163,055,898,293,348,850,035,574,287,741,108,569,
322,716,719,289,549,178,273,863,795,893,638,895,550,263,205,272,595,331,414,
426,667,501,852,820,689,913,578,359,156,332,529,465,978,143,744,287,489,880,
117,285,550,244,667,037,780,076,428,382,653,312,279,334,377,461,754,454,453,
182,714,419,059,202,772,060,299,717,031,189,008,534,838,002,447,510,199,933,
149,290,248,764,853,650,586,080,568,136,890,071,996,117,654,291,097,897,306,
233,600,510,452,928,367,168,968,862,704,921,533,773,901,776,893,376,844,600,
870,828,023,421,674,067,785,445,250,403,276,164,597,860,262,837,289,036,721,
511,941,192,023,042,452,679,516,465,471,575,677,059,402,198,166,681,709,496,
866,746,326,836,700,915,262,678,564,671,111,513,920,372,743,303,581,856,584,
650,414,705,543,432,010,863,418,798,415,298,909,920,025,631,869,145,336,576,
902,171,384,830,301,497,983,634,564,382,075,723,886,796,046,346,671,605,737,
687,859,114,830,621,823,746,218,993,004,010,034,656,141,542,926,356,318,072,
985,124,732,113,857,563,010,366,081,074,347,303,693,589,260,846,905,608,291,
567,850,194,664,645,425,264,527,287,927,313,830,969,809,022,643,284,876,449,
671,259,636,155,990,085,102,303,235,485,843,653,992,533,943,208,880,555,173,
603,295,889,033,205,892,396,477,852,909,087,757,006,083,992,282,636,841,934,
508,976,903,039,284,936,576,122,642,212,470,434,159,761,377,118,302,102,755,
578,087,189,669,940,757,564,975,677,963,084,095,478,708,756,919,444,135,621,
263,772,126,058,800,909,435,807,252,698,379,373,231,751,750,899,425,133,152,
436,351,002,807,868,555,245,600,462,147,007,111,765,902,421,765,733,230,413,
681,933,492,062,880,743,447,435,900,731,224,470,876,352,057,481,736,079,811,
607,543,101,693,660,813,525,711,860,534,381,466,460,846,435,429,491,740,867,
119,916,408,651,415,111,771,789,532,030,077,649,480,191,377,908,760,474,589,
377,134,623,178,744,485,734,533,729,797,887,609,030,954,271,802,896,518,348,
282,732,678,643,711,791,328,167,365,585,106,170,939,276,256,389,964,107,852,
945,634,361,229,266,935,209,456,437,500,486,798,036,454,462,615,966,698,044,
236,016,142,928,992,281,791,586,074,172,708,883,586,109,797,078,077,199,597,
764,060,605,987,318,693,590,521,077,855,218,931,558,545,821,435,948,129,436,
855,196,705,373,376,122,554,482,976,281,370,363,703,756,210,453,154,274,717,
987,239,339,063,022,153,522,104,272,763,135,470,780,993,816,902,072,155,418,
127,742,336,002,646,963,397,577,483,895,864,385,932,364,703,072,619,134,214,
774,047,836,931,647,935,829,622,826,632,128,359,656,473,717,247,948,964,139,
938,952,960,531,445,801,948,543,568,534,228,589,810,184,320,553,815,411,235,
623,397,627,089,348,780,785,105,816,204,794,813,510,695,592,527,320,780,234,
502,297,338,776,634,192,395,467,497,321,505,472,314,847,386,503,447,356,875,
287,544,421,810,063,787,954,081,105,658,642,400,328,984,294,027,214,731,851,
402,477,830,914,639,284,598,143,904,773,605,479,460,660,626,598,481,044,120,
501,389,207,812,842,040,584,331,788,380,199,142,895,558,852,470,678,488,037,
039,465,745,495,923,090,676,134,266,665,861,922,851,502,142,071,868,969,982,
578,701,852,731,980,530,766,880,141,652,979,507,473,100,936,681,127,284,957,
049,310,242,172,837,829,020,839,768,658,391,327,887,566,579,829,919,334,864,
442,528,368,840,329,956,571,915,654,795,769,347,789,415,863,607,414,909,960,
567,848,419,303,702,651,248,781,000,871,961,302,947,341,273,602,607,298,751,
209,566,300,566,741,445,925,373,253,630,087,759,748,471,414,554,860,000,617,
491,214,844,983,333,424,403,767,072,943,457,619,923,345,657,754,163,686,311,
640,164,393,990,851,638,491,728,658,233,474,947,753,399,904,519,900,755,635,
872,227,455,984,366,142,791,644,076,864,042,919,618,475,955,149,933,774,502,
015,412,224,719,220,020,820,643,552,556,768,438,314,158,191,506,449,093,215,
084,494,285,286,447,561,286,413,188,264,872,642,262,603,074,608,459,749,020,
789,229,344,746,318,801,217,714,521,812,709,080,169,577,823,625,026,438,880,
872,717,554,742,007,914,381,013,325,869,359,790,822,389,862,427,892,142,928,
294,925,265,930,531,983,976,944,640,978,328,248,346,875,580,038,175,750,230,
416,259,333,169,919,356,917,342,285,850,050,961,198,912,366,786,118,037,998,
931,873,668,662,771,106,264,790,006,695,234,492,878,890,866,096,792,901,093,
028,409,810,896,107,175,286,315,954,697,005,424,503,821,442,650,477,323,966,
843,976,646,792,044,852,817,706,643,914,944,405,675,378,180,949,457,018,159,
529,321,537,443,869,461,285,679,303,433,744,053,917,436,986,056,067,394,754,
035,245,985,997,470,187,561,352,027,424,490,616,746,808,284,936,823,438,481,
005,314,250,831,528,726,947,888,873,070,178,126,093,692,286,629,395,328,462,
147,383,070,227,889,661,370,403,617,620,291,124,713,636,423,342,926,449,979,
422,258,038,307,095,145,030,222,152,038,061,292,989,640,166,327,340,930,914,
997,688,223,487,764,615,208,535,224,763,119,745,206,883,142,775,207,692,026,
288,969,770,092,328,034,019,740,200,650,607,516,188,455,756,195,966,065,548,
436,367,534,422,544,287,269,847,430,249,249,843,397,409,368,022,685,532,100,
452,118,146,545,321,093,765,244,416,587,175,020,688,556,419,435,581,431,421,
515,655,305,179,977,243,027,079,543,553,855,478,541,176,489,498,911,534,833,
089,101,196,475,672,695,477,562,845,745,400,197,388,779,305,794,341,612,774,
189,237,612,521,637,288,998,607,847,033,878,805,629,999,527,809,774,197,141,
912,730,824,418,907,857,888,491,084,211,273,814,265,093,432,247,103,901,501,
618,208,849,630,032,012,240,393,732,587,968,281,030,013,397,736,183,634,824,
617,663,597,326,912,176,227,712,326,267,143,981,354,812,386,031,552,280,580,
479,053,661,021,898,173,715,497,313,229,428,411,755,693,469,386,532,820,700,
559,668,397,030,018,551,966,020,177,670,078,517,938,522,695,804,628,105,233,
953,158,491,687,403,198,171,061,197,172,844,840,182,457,925,446,676,865,926,
093,225,570,255,042,314,176,232,841,790,873,878,902,267,993,622,673,867,582,
865,247,604,298,252,626,142,318,211,238,194,247,333,628,906,155,454,298,149,
191,751,310,770,917,429,585,706,503,926,367,089,255,472,140,839,546,259,059,
598,696,965,073,789,029,719,528,790,418,962,289,612,783,604,417,116,617,382,
853,011,612,673,826,504,281,346,196,974,401,587,818,993,133,150,289,643,168,
697,676,551,082,672,811,465,140,649,071,594,639,952,171,512,163,028,736,227,
046,056,538,312,287,350,004,640,520,845,324,774,484,082,409,393,350,247,298,
678,703,095,562,235,574,290,557,813,712,703,495,098,066,426,656,848,081,381,
248,723,049,536,341,744,611,048,071,203,313,406,635,171,856,079,216,116,548,
377,006,488,758,610,660,756,097,058,749,979,545,899,971,421,589,417,463,246,
125,527,021,756,885,058,779,175,244,672,664,893,753,698,116,634,645,414,298,
181,473,873,718,031,959,342,848,231,232,279,421,132,070,069,637,292,255,156,
489,809,515,408,268,281,953,018,956,975,145,386,350,717,013,207,917,081,190,
856,924,795,734,101,469,585,703,709,185,353,868,828,648,021,376,322,441,309,
574,086,752,438,024,972,483,858,706,928,285,706,768,938,913,518,679,184,504,
603,374,188,614,078,387,938,996,594,443,662,885,963,528,836,773,552,929,973,
899,216,330,515,168,518,505,866,082,145,551,184,159,911,302,652,384,504,823,
033,181,502,505,993,410,147,786,135,521,204,839,976,466,877,205,305,974,925,
585,653,823,514,541,224,898,807,955,126,197,796,355,689,348,563,341,881,848,
414,013,226,460,796,822,343,804,457,388,297,575,586,507,482,339,283,686,644,
442,655,116,626,311,258,116,786,750,768,962,578,806,865,252,314,593,602,208,
805,483,067,311,467,941,672,811,275,519,520,012,194,364,540,544,665,110,491,
117,512,459,145,218,685,964,731,659,968,641,485,698,256,042,019,675,766,751,
799,938,188,247,031,994,615,458,465,583,305,831,420,064,498,723,964,704,895,
163,782,506,795,130,074,024,215,465,547,738,143,786,895,305,531,960,628,147,
245,064,898,499,633,776,880,552,643,614,974,849,080,631,713,382,711,496,735,
539,451,086,615,721,724,271,015,185,607,674,032,097,347,271,944,611,176,183,
714,202,221,851,895,147,167,706,412,279,850,947,358,523,784,462,865,786,588,
569,917,581,371,575,906,688,393,532,562,547,379,011,556,692,064,158,257,016,
572,977,042,843,463,607,621,084,565,632,551,130,396,069,575,683,268,764,539,
563,232,515,763,476,020,443,500,852,131,547,121,288,727,080,060,503,651,668,
811,144,163,490,027,344,487,052,659,795,220,900,427,884,458,898,797,721,109,
171,382,061,266,219,531,786,675,615,390,867,428,421,216,081,326,359,833,215,
801,616,029,035,655,523,840,546,723,543,487,461,010,953,864,740,552,810,943,
089,484,853,442,568,056,359,197,127,926,755,905,373,405,664,623,619,115,763,
678,793,579,368,725,449,194,110,507,040,677,321,181,307,762,706,099,211,384,
977,473,055,067,956,877,427,043,369,491,065,828,198,076,513,784,800,654,036,
605,171,506,133,844,884,754,151,091,888,195,097,904,311,323,409,625,238,860,
961,115,205,615,351,534,455,855,196,426,660,885,436,543,148,683,411,490,222,
065,541,878,812,377,442,675,351,206,650,093,470,999,152,294,829,877,008,861,
482,226,912,996,043,781,661,831,630,024,903,844,733,222,401,373,800,976,358,
962,046,847,352,512,124,391,161,563,649,164,748,602,262,589,677,670,249,594,
269,380,887,349,672,146,611,628,121,318,005,294,172,152,823,099,756,935,459,
275,782,133,480,428,185,702,211,735,913,436,813,081,279,453,476,906,991,242,
786,257,155,833,472,541,686,247,608,167,407,617,982,913,847,424,189,304,312,
700,961,817,613,175,649,327,140,532,467,803,554,572,437,056,521,781,780,848,
981,386,510,563,881,972,769,981,110,083,840,677,247,533,689,471,584,552,326,
653,079,112,297,638,400,768,321,161,358,461,647,798,249,869,679,184,154,963,
700,570,493,764,798,507,197,769,782,764,884,848,015,488,655,480,213,980,435,
398,424,387,247,323,675,595,979,535,930,812,123,993,809,998,576,958,741,004,
877,871,029,256,977,336,186,678,016,910,455,179,534,025,594,841,632,714,606,
869,876,731,911,607,835,101,038,276,866,674,308,001,681,870,076,566,968,602,
256,509,681,294,272,588,215,480,302,411,983,242,031,224,659,696,238,891,065,
836,949,949,659,188,537,169,108,624,318,881,776,571,168,582,159,835,548,537,
110,132,475,004,950,631,339,281,303,451,973,911,452,457,813,735,352,859,778,
136,609,973,701,355,111,614,891,205,502,598,095,849,077,102,140,018,022,243,
715,355,202,293,577,978,589,102,441,575,479,448,260,285,284,393,669,181,325,
107,432,205,312,306,642,590,185,743,991,766,958,514,881,788,859,732,750,536,
800,985,495,207,394,514,166,751,294,930,996,838,695,640,933,877,291,632,853,
779,701,747,267,062,668,511,926,259,725,143,686,370,812,332,270,498,570,491,
347,921,157,314,443,604,608,245,339,967,612,838,857,235,741,298,182,852,385,
623,242,212,315,132,897,016,104,780,520,346,256,040,146,995,419,165,616,682,
230,775,396,253,687,290,531,138,800,232,630,406,986,124,454,215,091,058,058,
628,876,772,899,177,797,511,732,016,458,177,724,965,628,177,625,059,491,376,
415,933,280,339,826,219,695,060,670,074,534,140,141,156,056,292,410,723,989,
344,681,646,894,306,796,775,396,927,439,470,312,274,818,028,128,964,610,700,
535,393,097,027,460,478,891,481,547,073,057,552,178,013,221,614,887,138,200,
007,673,164,783,955,780,445,501,754,643,876,732,682,857,107,038,489,961,180,
850,948,456,848,749,470,060,746,149,054,206,385,782,996,268,462,526,265,830,
841,218,138,557,220,554,451,169,762,232,438,561,214,929,267,545,923,784,151,
816,785,187,125,863,446,209,661,121,846,730,125,186,711,203,476,992,451,738,
866,925,488,006,841,629,662,551,951,288,065,535,869,351,327,545,283,871,260,
425,380,556,627,158,059,325,778,847,685,470,987,546,971,313,554,516,104,967,
949,978,377,711,643,825,482,235,225,785,917,982,793,292,358,431,673,527,154,
337,306,462,093,653,134,225,650,963,937,936,954,560,459,516,524,629,330,591,
420,990,904,386,724,652,006,374,002,822,843,406,609,829,041,950,740,317,213,
250,337,017,582,366,352,899,251,428,055,187,433,139,010,891,685,932,358,178,
949,796,507,945,870,185,501,877,482,627,026,082,585,448,624,341,661,094,346,
549,289,103,278,035,952,129,724,670,563,323,895,017,235,622,699,723,701,127,
060,202,435,757,704,132,211,988,330,178,020,052,900,572,802,994,944,543,990,
737,744,184,775,902,571,987,911,757,345,088,544,759,437,140,885,210,779,301,
768,321,604,489,487,588,730,916,086,447,307,335,680,455,816,986,710,479,147,
285,402,256,657,587,998,792,334,145,795,142,996,810,892,088,494,088,965,167,
920,926,754,155,076,667,422,315,846,569,949,325,648,609,275,967,139,257,985,
170,824,913,408,454,943,239,104,463,474,055,654,760,132,916,583,125,494,597,
350,178,396,258,815,718,754,431,544,517,170,391,216,610,148,526,956,919,890,
149,822,305,063,258,861,350,166,292,155,188,645,486,894,090,432,082,586,100,
683,346,822,852,038,856,369,710,251,304,701,169,845,923,781,063,919,447,637,
182,993,623,280,723,672,683,168,251,655,392,206,861,849,837,944,188,568,338,
640,732,262,113,514,194,134,125,799,927,865,261,380,294,686,692,586,484,141,
743,152,922,908,621,991,697,939,587,925,395,647,892,988,990,626,534,081,817,
818,143,784,857,910,630,212,341,273,772,542,907,907,865,666,170,094,766,321,
188,865,864,677,143,926,940,292,155,259,675,824,930,860,369,118,247,581,488,
078,211,906,883,946,119,004,635,395,181,741,063,640,979,119,142,331,574,459,
539,970,135,710,911,058,067,881,623,670,209,755,620,640,853,435,321,412,555,
401,587,666,237,177,003,985,544,743,769,437,985,229,144,798,951,590,514,607,
311,028,273,219,814,397,240,851,754,816,701,863,886,145,412,337,298,412,492,
187,399,348,004,055,314,830,806,936,740,846,622,146,610,126,029,835,678,555,
042,957,293,257,111,763,014,162,730,407,063,188,820,506,505,890,143,823,141,
893,125,730,839,371,171,536,471,053,302,432,748,236,421,116,736,557,561,233,
044,045,438,839,095,644,625,243,194,730,281,605,274,340,258,645,986,337,946,
816,414,850,062,504,949,273,331,019,828,639,779,391,842,804,169,196,142,894,
959,194,433,375,210,004,319,002,601,722,014,592,352,025,219,224,061,498,406,
048,720,713,090,507,633,871,100,792,345,372,933,411,908,064,815,361,502,838,
214,229,975,415,525,346,997,704,058,055,781,852,618,277,330,129,166,061,979,
056,157,692,432,400,000,316,466,656,228,552,618,819,248,368,778,402,477,905,
416,622,873,461,142,860,406,290,412,048,393,282,331,242,798,806,507,055,215,
268,460,084,017,524,633,280,537,265,412,884,868,555,317,621,198,977,794,284,
130,989,341,210,310,779,497,485,493,770,196,824,078,214,781,377,194,050,557,
638,355,518,411,934,792,749,781,545,360,066,757,405,160,727,537,072,070,643,
763,943,696,161,615,670,785,953,582,409,332,486,058,574,526,159,015,053,720,
745,636,095,151,000,123,697,594,864,258,004,516,350,755,550,024,494,984,648,
226,870,033,969,825,351,257,163,370,637,402,080,295,749,673,894,652,690,410,
211,857,055,856,169,545,164,244,624,703,926,932,969,414,115,232,514,471,961,
386,142,358,125,677,565,995,424,070,001,343,139,357,711,066,478,177,494,017,
091,841,333,784,481,682,645,348,886,861,788,977,734,393,541,642,837,755,101,
966,514,389,592,578,191,459,523,769,563,806,730,047,347,794,719,471,064,092,
354,278,992,818,625,447,617,532,807,343,775,085,816,391,602,652,194,107,041,
338,958,478,557,346,715,075,872,997,245,121,096,615,368,054,566,880,115,893,
669,506,511,542,617,847,726,557,785,823,186,610,964,762,747,759,651,729,339,
924,099,335,917,191,182,149,713,337,624,792,116,260,638,591,467,585,058,856,
488,478,331,394,382,888,594,601,104,492,464,257,861,992,284,981,981,643,853,
741,636,966,160,698,847,586,978,244,697,351,726,554,007,921,456,141,608,241,
244,781,578,558,361,139,708,342,437,110,670,914,838,047,032,241,844,523,194,
101,544,429,724,239,138,161,046,299,612,161,823,747,329,648,187,061,034,902,
404,079,725,320,014,258,923,385,408,358,021,621,997,709,434,839,306,403,582,
633,360,402,365,269,399,611,696,243,431,282,745,845,334,241,222,042,255,073,
894,437,277,129,626,110,758,176,072,859,636,128,411,093,634,140,880,069,884,
186,077,319,120,133,055,675,899,134,407,440,111,794,865,965,166,253,946,200,
557,258,760,464,712,601,710,683,993,721,555,886,738,194,901,097,938,169,058,
108,972,669,549,928,522,996,301,504,563,728,403,645,837,427,187,843,388,555,
487,213,346,790,111,542,556,305,957,110,335,174,342,850,689,098,307,219,607,
548,399,941,415,421,046,263,999,642,338,972,930,273,869,741,726,416,037,074,
801,592,371,800,249,040,836,750,040,353,607,546,411,143,218,697,810,059,826,
860,216,180,234,378,382,728,757,514,541,522,130,267,211,235,895,080,550,547,
432,522,552,719,119,004,540,593,490,604,808,181,100,524,433,073,767,524,636,
268,643,739,226,938,552,490,352,030,518,977,862,973,394,301,720,901,512,155,
948,365,282,477,231,574,598,350,254,212,640,901,681,813,010,049,434,402,413,
210,889,601,640,457,505,655,666,696,229,176,051,084,362,078,591,620,740,618,
526,963,865,394,331,683,047,109,183,698,089,138,953,563,549,750,192,832,385,
218,283,974,254,120,844,126,339,670,751,121,061,693,212,803,969,999,955,814,
642,791,206,616,925,696,215,425,851,889,506,683,513,833,994,336,109,204,656,
474,203,628,398,867,498,595,616,947,692,583,032,622,309,758,533,491,956,054,
443,431,651,516,749,443,325,165,259,279,734,806,962,242,808,620,767,107,826,
743,509,173,518,768,452,589,644,525,982,311,642,894,671,631,622,820,696,072,
792,614,669,258,290,859,187,405,687,137,252,841,311,234,597,262,843,030,994,
666,581,557,774,222,491,350,049,145,212,230,054,992,478,221,416,496,678,236,
712,496,349,466,391,647,866,176,548,419,251,985,781,852,165,619,541,810,485,
132,572,751,167,827,191,655,749,574,831,541,001,672,842,631,487,648,595,925,
374,010,313,438,257,549,137,463,243,173,644,635,752,026,913,370,915,065,408,
441,573,856,916,111,400,379,495,704,630,299,950,171,395,562,467,813,972,171,
623,559,853,051,991,146,521,409,959,814,826,130,650,757,534,968,569,788,378,
040,432,579,334,443,592,199,429,289,733,185,141,048,984,313,758,820,899,464,
412,455,773,031,101,330,907,675,900,842,740,781,193,892,430,311,764,154,763,
184,969,882,846,927,279,211,984,373,516,817,483,430,703,774,605,708,935,463,
507,567,370,872,399,358,999,178,502,152,356,372,417,903,070,751,050,030,087,
840,496,134,050,818,940,639,626,118,628,194,577,699,842,275,754,614,282,668,
264,805,769,775,928,197,481,180,264,678,640,060,278,347,753,145,139,813,259,
396,988,853,362,921,744,190,025,085,193,525,870,729,609,709,478,172,627,873,
376,892,656,283,902,199,682,257,111,984,145,962,216,032,029,136,828,799,786,
250,122,918,174,167,173,117,968,019,196,626,317,721,848,285,564,149,716,134,
588,625,256,647,774,358,014,985,011,768,839,693,942,933,291,053,868,881,883,
381,314,156,805,751,892,191,272,327,589,096,504,151,051,045,539,262,823,046,
573,008,235,350,226,441,321,849,486,546,999,737,380,973,119,220,502,418,381,
942,858,808,930,011,776,405,448,361,755,961,676,269,724,946,794,094,914,371,
317,867,203,865,261,994,502,519,451,299,657,291,778,769,238,936,500,883,194,
154,273,911,531,915,221,007,105,724,128,654,890,134,513,966,227,340,835,068,
981,937,158,041,775,358,556,648,416,495,435,733,912,297,890,832,418,859,589,
580,653,238,317,743,401,311,151,882,970,879,042,467,774,251,914,948,470,243,
123,494,578,292,768,180,836,593,672,597,698,814,887,486,184,176,419,142,128,
850,871,849,788,661,829,865,001,510,924,599,960,878,615,876,012,329,301,212,
194,824,495,724,085,728,461,397,352,073,331,411,259,315,045,211,183,673,684,
137,470,431,621,084,455,896,078,326,650,118,977,656,820,918,899,731,955,912,
965,656,582,460,921,380,371,722,273,288,374,853,723,192,911,024,642,820,577,
445,857,538,817,074,686,445,625,790,875,481,512,976,740,002,468,301,697,277,
282,989,387,011,127,363,731,235,673,171,021,404,559,944,012,810,816,605,430,
213,022,977,814,519,552,416,518,579,529,492,884,950,641,671,401,806,616,757,
215,861,580,665,290,293,654,583,910,297,608,341,366,973,369,569,359,896,821,
937,321,280,652,970,546,142,474,942,291,686,111,195,441,017,943,933,151,348,
153,946,383,355,298,646,932,785,445,778,774,260,574,568,161,697,221,584,852,
803,886,857,659,498,625,303,866,676,502,864,841,429,654,960,899,303,306,911,
241,737,606,686,235,809,163,051,309,702,477,351,159,280,712,360,950,257,960,
989,117,479,128,204,412,920,565,141,148,524,786,991,685,842,661,362,963,569,
301,207,184,665,878,388,065,584,991,747,775,966,400,722,470,638,534,914,687,
384,001,063,208,858,193,384,199,358,916,848,295,895,626,630,250,912,367,509,
271,880,246,899,265,937,841,262,880,310,780,499,392,238,686,857,245,473,896,
247,314,807,956,017,616,805,221,400,648,054,342,324,760,030,304,838,498,096,
881,648,871,466,296,237,725,074,375,867,834,192,199,713,123,994,305,927,133,
974,577,460,834,546,850,029,032,429,112,482,914,926,868,502,845,985,709,188,
350,514,001,684,614,716,108,664,714,444,926,544,068,502,343,465,650,393,775,
982,259,638,698,882,042,984,639,184,830,696,570,807,859,727,973,268,922,924,
665,531,492,276,677,860,160,577,399,003,837,983,328,252,876,697,936,519,441,
837,707,346,727,224,697,946,227,117,436,827,234,669,203,464,442,626,791,343,
379,846,231,580,998,645,057,057,091,828,035,479,106,476,695,938,931,441,666,
081,368,195,133,785,587,419,025,781,703,959,997,224,373,571,309,075,962,010,
879,376,449,960,347,468,196,848,277,685,945,670,074,681,889,367,388,096,641,
002,054,374,092,527,057,769,163,897,397,418,346,687,322,768,445,109,300,924,
103,357,089,041,512,387,774,984,164,739,310,003,668,079,786,254,909,241,043,
234,796,560,730,514,561,701,139,179,372,934,750,826,983,482,197,661,382,654,
301,318,484,658,828,370,759,221,216,880,469,928,930,304,401,684,152,695,535,
662,569,783,036,809,951,306,363,715,921,601,156,401,453,929,846,467,410,985,
690,761,600,885,424,470,547,569,681,977,998,083,531,177,370,556,470,958,374,
397,478,889,197,432,948,996,764,206,869,591,100,446,221,955,818,768,583,855,
196,164,460,965,833,286,681,153,866,651,157,545,562,896,063,447,785,867,600,
504,162,062,074,157,140,288,160,268,038,725,533,527,323,277,257,591,718,194,
666,762,664,689,482,460,420,308,825,564,951,959,285,820,241,446,065,798,104,
490,245,480,685,720,577,694,697,553,774,989,278,955,051,749,108,762,311,170,
953,662,377,885,246,347,081,703,567,399,943,860,273,024,347,731,060,249,235,
596,520,903,008,333,852,906,637,874,707,573,838,324,167,434,384,299,686,972,
454,142,928,633,419,996,272,398,057,788,636,919,727,258,769,912,708,443,754,
056,503,028,744,712,777,849,615,199,026,899,810,475,715,314,316,972,440,609,
202,370,320,122,941,650,592,274,742,576,147,455,939,882,932,368,081,902,599,
866,194,413,941,523,268,541,316,250,741,606,426,798,224,876,991,758,514,676,
778,758,157,459,656,823,894,059,211,499,722,332,831,553,624,928,383,245,017,
788,758,604,181,189,357,546,013,232,335,739,741,873,590,700,839,612,113,576,
399,503,126,025,496,356,061,726,885,684,564,896,590,229,143,900,892,315,639,
615,246,116,319,095,988,194,682,466,119,453,162,283,672,218,184,012,463,786,
558,186,129,101,240,302,184,552,770,047,071,389,075,712,903,141,770,702,952,
541,990,306,395,227,757,904,647,725,650,080,234,367,528,712,675,444,184,708,
884,084,466,720,148,512,316,101,334,241,739,414,758,922,246,936,880,456,869,
476,931,673,358,889,990,942,100,403,300,484,280,967,315,810,392,586,623,590,
832,636,200,243,834,860,342,745,822,308,022,059,767,309,435,476,118,847,790,
985,432,396,498,002,049,782,193,660,051,602,367,651,763,229,998,524,685,710,
580,823,683,894,120,212,302,082,921,376,495,447,991,900,820,121,257,575,750,
927,529,468,983,875,655,321,204,541,383,071,249,499,685,917,471,892,523,550,
708,844,978,279,870,427,018,114,710,700,778,529,787,148,644,265,534,147,741,
183,547,071,183,218,525,018,575,416,232,119,379,102,318,844,789,285,627,206,
423,840,380,815,510,269,897,701,367,067,443,821,285,164,328,206,196,016,159,
666,843,021,545,966,219,388,112,861,129,219,595,782,153,252,982,845,219,881,
371,549,738,124,729,053,499,595,430,432,191,694,529,637,412,892,885,732,343,
752,311,262,309,706,923,621,933,508,514,529,478,882,583,624,065,439,550,319,
129,065,007,744,960,827,968,969,553,767,051,376,883,557,172,314,491,698,083,
463,257,526,005,964,697,457,873,298,351,091,182,261,008,486,621,585,498,221,
181,987,824,648,621,778,681,775,378,623,533,135,576,247,142,099,689,895,592,
668,683,294,644,595,592,523,677,816,561,710,388,866,806,843,872,336,298,432,
762,218,325,731,611,773,968,111,829,299,584,626,984,677,710,658,943,894,253,
969,621,335,995,501,102,251,601,787,801,259,260,650,608,558,061,817,499,405,
163,845,248,356,286,267,707,781,030,201,133,338,523,295,601,196,860,575,163,
353,603,637,329,360,389,034,978,517,132,962,295,373,451,605,861,685,161,018,
773,282,338,178,692,034,709,086,090,255,985,458,138,193,080,395,988,029,409,
379,524,363,796,526,002,265,865,711,630,808,015,715,108,445,793,271,341,953,
195,397,429,682,995,565,497,667,222,284,003,791,463,601,958,061,117,252,917,
008,353,580,937,968,167,936,537,052,376,739,206,938,170,946,717,918,595,217,
839,382,645,852,027,552,326,684,219,229,314,920,832,082,902,792,359,956,250,
084,694,900,752,962,582,101,906,885,679,061,761,688,159,464,797,102,349,342,
823,052,214,620,308,767,097,539,952,832,521,787,383,131,308,006,722,963,330,
560,064,786,049,670,883,400,620,443,564,226,774,236,139,725,635,362,751,719,
892,700,706,724,387,331,547,815,323,316,084,095,927,547,712,041,879,103,965,
709,522,177,277,315,339,524,069,336,393,739,956,837,670,168,830,358,684,064,
841,791,942,785,969,005,250,014,801,848,083,182,552,364,974,266,503,920,115,
554,895,000,202,302,165,214,161,108,249,240,822,857,095,036,402,651,259,463,
387,700,166,897,564,189,577,285,751,218,077,577,681,213,416,049,344,100,549,
116,283,631,262,175,335,069,920,159,058,996,668,045,887,901,857,708,339,072,
874,279,503,401,220,168,906,298,909,441,748,416,429,103,494,080,045,365,271,
437,496,679,132,313,125,093,865,072,215,184,955,854,717,450,124,957,256,540,
621,016,361,015,196,859,148,298,616,010,231,373,728,932,626,096,844,072,290,
764,093,621,071,320,907,804,866,729,615,567,486,986,832,454,639,309,398,519,
279,082,435,210,161,487,698,382,546,854,710,408,070,018,897,596,720,472,323,
119,539,827,886,159,983,451,283,689,223,973,772,229,079,176,288,242,445,397,
118,535,091,400,337,335,540,139,851,723,148,925,626,038,171,099,130,482,266,
688,692,846,503,513,711,842,076,733,743,208,961,118,422,916,624,709,102,514,
207,811,116,912,898,193,987,560,855,080,367,590,688,729,248,517,046,920,471,
171,046,892,051,139,628,988,717,067,951,817,688,406,718,096,392,476,268,795,
156,619,154,914,862,259,927,887,311,793,223,904,647,552,790,747,560,029,613,
240,399,819,222,900,645,056,142,351,575,583,507,927,579,304,319,497,543,957,
053,450,122,859,467,355,646,944,659,274,596,411,235,619,378,891,619,057,371,
488,823,763,389,563,757,362,932,601,308,852,635,492,609,094,348,395,248,214,
659,758,333,592,536,790,698,227,841,466,033,275,106,716,556,359,150,288,724,
721,260,620,655,991,232,390,814,691,815,845,880,200,307,367,799,789,529,925,
723,195,959,036,955,295,869,201,873,225,767,617,356,060,149,477,644,714,710,
539,634,975,781,551,706,409,488,384,464,120,383,711,735,278,747,365,253,191,
739,207,274,569,569,502,646,259,373,706,930,587,813,583,860,252,570,293,978,
176,155,386,147,660,722,462,905,899,220,127,950,582,123,588,337,038,014,306,
783,537,351,458,057,515,022,554,139,686,462,662,159,867,301,636,124,005,610,
172,310,280,488,156,940,214,663,625,476,248,365,652,578,976,946,531,576,334,
924,935,686,141,571,538,555,251,648,509,983,363,714,249,243,657,047,936,275,
346,219,579,761,161,650,347,807,966,914,813,459,097,498,410,239,326,046,868,
498,237,676,786,461,319,017,202,332,339,996,135,026,741,672,739,146,114,906,
353,874,550,556,412,975,016,555,157,690,590,639,411,814,200,611,178,858,640,
224,150,093,691,087,329,356,208,199,290,627,646,879,677,585,155,945,155,549,
175,067,416,111,427,901,963,323,728,636,071,422,512,344,815,312,245,746,984,
180,606,798,321,178,119,252,539,560,300,654,861,395,541,512,591,967,987,186,
764,954,356,806,608,038,008,240,709,262,584,135,466,516,213,167,262,056,954,
409,632,095,576,873,730,705,848,720,928,851,600,943,687,500,316,443,231,751,
227,004,439,607,206,328,992,514,671,023,996,535,415,298,761,316,952,523,807,
844,356,985,020,420,396,052,774,432,711,072,421,018,387,279,023,455,764,966,
515,934,361,752,646,721,303,319,716,288,314,640,073,725,308,383,260,816,682,
680,897,264,067,947,746,059,692,021,363,832,307,844,244,897,162,806,630,740,
825,409,897,418,688,046,744,697,223,506,582,849,353,289,226,565,541,145,312,
843,259,918,162,034,197,790,088,157,445,025,805,134,182,528,185,900,840,433,
903,352,934,159,546,180,867,545,799,018,600,992,222,432,204,871,946,272,540,
595,591,396,670,827,009,853,273,774,882,663,527,296,197,293,402,590,283,953,
566,025,144,461,736,318,053,408,959,236,890,861,347,836,314,512,152,971,085,
222,308,593,758,544,221,166,095,152,097,383,103,147,119,286,911,785,337,616,
755,266,344,926,579,225,089,766,865,333,556,296,952,364,061,948,044,966,594,
888,305,814,074,499,106,124,855,036,339,475,919,845,256,929,454,189,707,876,
674,417,371,347,404,153,678,035,085,256,330,458,376,373,386,670,175,084,920,
837,761,013,231,764,292,592,511,764,036,886,739,338,914,061,203,972,218,645,
869,110,743,685,892,528,274,213,286,484,324,794,043,055,922,409,732,472,942,
056,005,796,005,381,408,940,694,292,915,585,706,949,861,044,312,084,387,853,
755,990,599,505,999,034,294,301,020,202,948,665,835,435,218,178,120,781,096,
975,509,101,304,730,971,113,325,855,458,849,419,463,500,416,665,037,205,239,
029,913,794,475,654,048,505,639,993,477,891,212,316,928,986,514,405,784,749,
049,878,302,282,098,262,816,325,220,453,611,949,793,325,181,206,272,430,740,
491,213,797,084,253,665,764,756,513,907,782,997,675,281,609,848,570,187,433,
561,213,950,496,564,850,789,659,164,097,162,770,500,400,745,254,781,331,086,
156,202,249,348,176,298,141,804,465,181,970,822,921,917,507,301,633,659,766,
081,290,319,462,484,110,734,564,048,785,820,311,695,762,352,820,495,908,179,
126,108,116,754,708,179,106,500,179,125,692,655,255,834,101,584,313,096,563,
212,179,679,681,864,481,673,536,476,425,793,010,711,015,721,284,374,835,408,
605,480,500,493,132,241,351,107,958,367,294,992,621,230,856,449,599,323,116,
204,784,112,051,363,616,370,220,552,380,328,915,707,282,985,727,740,663,182,
864,986,493,626,333,145,317,748,521,388,442,012,391,415,792,555,996,290,559,
080,297,010,050,336,532,194,284,205,715,652,810,779,164,615,327,184,921,869,
173,075,838,947,958,719,003,271,619,931,913,397,901,502,284,395,527,080,831,
467,773,149,592,171,094,000,067,057,818,935,512,027,768,621,220,548,950,462,
926,253,770,966,065,624,690,298,751,680,426,011,769,408,951,739,998,198,041,
350,244,467,887,477,303,947,751,492,392,243,089,080,132,553,566,142,999,542,
697,982,599,450,052,982,400,627,370,714,668,951,743,920,410,936,250,123,966,
453,787,662,066,617,035,069,056,409,241,211,548,059,969,011,126,272,424,861,
055,580,437,707,204,460,561,698,392,503,639,176,177,005,693,424,805,450,756,
581,225,382,355,496,984,443,519,868,318,487,464,647,242,064,565,021,134,843,
099,810,660,886,336,015,833,512,474,219,858,447,730,495,507,591,464,729,888,
065,023,089,892,941,891,191,104,161,938,269,384,175,219,944,213,915,796,530,
925,807,776,588,848,975,570,726,500,496,986,962,607,190,841,436,271,197,292,
697,105,759,858,954,015,765,099,124,995,831,161,284,891,919,923,286,755,938,
836,910,588,500,676,566,613,545,964,363,889,031,089,464,074,604,946,357,619,
772,479,159,630,641,314,777,397,313,262,050,919,312,582,113,782,742,265,961,
329,205,052,405,309,687,958,418,464,415,991,281,452,613,383,316,079,079,342,
013,203,856,116,862,837,018,828,692,154,345,076,623,760,488,812,640,969,630,
307,138,515,549,761,701,278,072,351,851,556,506,494,476,680,416,610,998,436,
075,954,301,554,596,555,461,853,523,178,529,300,309,366,104,102,274,838,846,
536,010,283,474,900,362,487,100,806,103,365,046,033,123,576,623,888,405,382,
464,791,745,225,997,221,261,080,683,717,065,813,965,045,258,228,520,460,645,
930,411,023,306,418,242,975,766,745,664,536,928,816,859,088,879,945,373,277,
423,163,899,553,524,599,939,035,179,277,610,707,657,739,038,774,266,861,454,
221,837,672,145,890,116,447,882,801,888,433,061,541,993,375,339,448,090,163,
100,646,962,601,917,687,626,695,884,476,484,452,350,060,116,756,375,414,107,
490,433,895,753,198,156,602,001,859,760,076,315,870,890,892,074,172,900,434,
061,547,563,849,187,326,027,574,934,312,259,394,456,211,079,473,186,979,518,
039,049,146,121,634,743,154,118,688,729,703,702,158,574,921,050,982,128,111,
046,973,040,755,979,121,088,068,288,033,418,983,598,667,607,195,560,230,172,
917,401,929,971,829,444,945,792,283,736,613,150,926,858,122,293,292,418,720,
289,444,610,669,341,603,944,221,944,143,148,230,953,547,117,932,851,340,898,
548,273,567,752,393,424,721,060,131,575,919,219,699,769,465,381,935,500,372,
080,626,206,393,152,022,759,720,192,548,633,225,896,460,596,566,364,996,754,
108,225,170,998,714,797,581,990,328,377,998,741,479,762,784,312,981,621,327,
880,852,352,164,131,693,996,220,472,278,652,574,153,473,086,339,003,283,889,
532,920,520,643,494,235,652,414,227,253,427,822,651,728,494,200,860,896,394,
318,502,388,645,697,328,040,302,292,424,608,829,356,553,864,092,514,331,566,
148,588,033,360,079,728,863,045,799,671,849,120,416,716,549,046,759,359,404,
943,973,756,722,811,659,299,737,183,052,077,270,469,739,800,255,916,095,809,
056,470,098,989,094,727,823,907,009,075,600,039,100,542,748,017,561,552,102,
920,035,670,441,478,548,242,353,846,143,543,372,385,966,745,424,917,523,546,
001,377,618,425,239,559,670,626,030,901,121,187,711,515,879,514,855,547,665,
295,186,798,436,625,308,065,867,848,312,023,298,386,470,488,431,784,862,389,
790,487,153,157,318,554,375,077,919,984,503,082,851,315,593,643,510,661,403,
577,672,806,050,803,975,039,054,600,079,857,879,223,532,916,791,776,826,972,
873,796,253,243,781,113,066,648,585,110,158,066,492,735,859,433,740,408,969,
349,463,576,848,184,877,121,945,963,102,712,439,548,185,924,630,027,125,658,
115,323,504,555,688,831,320,608,265,507,436,505,692,976,003,975,637,746,623,
596,268,242,318,263,785,688,395,008,749,263,822,718,756,557,664,839,276,857,
843,301,396,795,920,850,893,147,529,950,966,596,023,027,820,270,680,650,831,
067,271,330,880,734,839,379,025,381,891,145,941,455,454,460,236,033,193,869,
577,830,496,444,284,104,980,679,398,098,494,743,032,705,271,754,033,191,745,
912,044,825,236,675,187,802,964,990,376,184,061,194,996,977,634,583,343,590,
193,114,953,539,284,112,032,810,883,702,823,601,019,468,048,790,577,664,946,
479,012,799,987,350,930,733,755,284,679,133,796,538,347,344,749,588,302,087,
228,823,435,658,834,391,859,851,925,138,827,002,057,586,042,262,780,105,229,
212,627,082,361,125,237,308,131,374,644,889,666,705,960,101,452,064,686,819,
391,259,349,059,557,427,671,634,830,842,464,436,817,736,224,251,384,251,231,
262,879,906,509,859,242,416,630,047,828,661,952,540,835,500,015,534,376,205,
601,380,920,460,770,558,868,495,031,484,482,342,195,209,171,606,648,131,270,
771,407,645,825,196,363,961,054,749,457,300,145,808,150,334,398,597,100,845,
510,702,418,682,523,274,143,349,871,558,313,021,438,523,750,676,774,469,939,
125,447,700,596,390,157,657,273,509,521,071,633,585,534,104,112,696,469,979,
297,005,606,336,054,181,763,324,852,327,930,830,794,904,752,000,410,639,962,
662,535,541,344,300,464,388,583,812,636,208,994,994,001,004,374,356,909,999,
927,117,839,986,043,805,480,870,587,805,100,716,957,153,852,908,370,639,126,
581,082,900,283,441,535,452,019,840,240,002,599,311,686,904,976,397,517,906,
699,420,655,600,670,287,523,993,422,864,586,550,216,126,802,839,061,028,884,
509,875,719,413,349,910,629,237,400,500,545,651,695,471,935,697,136,396,690,
135,144,355,667,793,428,139,146,749,321,098,651,910,082,358,492,326,377,830,
198,943,697,595,593,045,894,871,023,472,909,319,683,526,570,495,337,390,292,
452,822,789,060,577,215,545,456,313,065,940,929,042,874,960,525,803,501,957,
628,997,840,399,565,301,022,724,709,927,344,932,161,129,024,911,271,560,770,
827,617,378,990,236,879,687,420,413,907,812,127,972,619,287,922,445,595,974,
136,945,262,296,944,962,062,246,894,668,000,791,451,796,118,291,131,413,141,
168,754,714,394,233,931,699,074,753,967,047,579,604,570,822,008,846,936,507,
128,338,011,192,974,826,888,262,321,768,021,789,447,631,475,590,003,222,626,
015,317,592,208,530,269,836,994,178,851,137,633,281,340,305,186,548,259,807,
035,486,744,519,999,116,248,269,081,642,522,880,185,021,543,948,799,226,759,
356,239,670,050,162,153,580,447,237,567,409,195,396,894,007,348,664,390,005,
185,821,997,210,337,834,793,031,702,731,886,053,971,213,429,271,439,273,339,
675,956,992,008,790,746,721,464,773,435,563,275,897,827,422,106,121,268,735,
613,283,471,792,651,234,458,756,791,358,077,224,673,104,510,386,006,203,395,
083,031,962,730,621,902,162,260,873,747,727,382,706,249,730,743,137,626,297,
779,100,048,128,019,269,525,894,785,311,148,519,189,286,337,255,942,984,870,
357,004,221,591,429,075,887,628,637,759,322,970,328,742,085,363,040,372,912,
930,959,173,356,950,683,475,974,521,106,971,377,955,612,244,372,210,254,053,
582,319,084,077,474,050,152,344,606,667,598,899,797,426,953,931,049,470,148,
693,770,027,813,414,870,166,972,281,189,400,712,846,632,568,283,046,328,064,
674,319,970,580,391,517,004,676,594,156,591,003,754,477,458,500,270,696,002,
017,615,177,384,092,322,290,439,931,461,504,333,453,756,123,127,660,223,959,
720,668,877,092,046,101,286,605,733,154,721,501,276,777,882,341,240,265,718,
276,815,602,245,528,004,456,151,832,142,982,520,475,313,365,275,335,635,435,
984,973,009,706,008,714,067,013,965,155,351,024,030,225,246,909,357,333,904,
120,583,765,456,162,686,978,894,319,164,213,373,158,421,431,648,425,550,955,
542,644,386,425,208,323,610,615,723,154,338,883,527,512,813,483,563,834,300,
507,226,726,903,604,335,776,419,565,304,967,298,883,928,143,129,727,416,492,
819,174,502,502,964,273,720,428,534,760,295,079,707,688,814,631,809,558,797,
262,464,123,507,172,629,664,939,509,449,388,678,766,549,406,059,845,147,828,
837,428,998,463,149,025,056,352,433,891,836,309,310,688,283,858,937,422,233,
244,225,811,685,601,732,905,514,465,898,827,857,441,749,960,057,126,008,334,
767,084,811,892,134,529,074,525,410,984,771,913,723,472,539,206,189,911,427,
871,754,690,676,249,627,150,585,227,866,741,135,688,260,031,596,096,145,117,
256,927,543,415,813,640,854,255,122,389,504,092,496,953,238,673,520,059,776,
911,394,702,010,719,120,367,032,762,127,942,966,750,887,274,184,370,358,164,
084,646,947,193,822,557,935,778,064,151,842,023,397,076,496,187,116,155,962,
401,747,910,123,744,683,571,347,939,499,310,125,767,502,249,681,432,834,695,
050,382,241,007,002,683,990,170,181,717,597,728,774,391,152,993,852,630,830,
890,435,435,957,620,636,201,157,819,595,535,214,329,749,563,072,240,108,291,
290,870,107,059,536,539,422,482,798,286,395,960,394,765,911,214,364,115,926,
575,132,108,624,808,242,716,465,346,943,464,213,898,857,869,785,703,790,804,
055,048,487,383,766,919,069,585,318,270,905,404,161,474,572,163,887,314,446,
158,613,923,308,048,717,079,348,611,669,674,959,803,428,627,500,829,536,185,
728,841,388,800,046,155,481,805,261,771,851,490,816,705,613,486,812,254,147,
428,528,322,963,697,606,845,432,218,418,401,135,841,605,963,195,244,143,632,
860,024,495,592,047,862,261,682,112,902,328,331,801,185,324,731,795,562,465,
680,938,234,291,894,055,636,150,576,375,052,398,159,791,631,084,613,638,177,
422,051,934,478,545,736,298,113,036,010,085,330,067,919,169,659,450,450,787,
944,650,023,035,864,804,939,260,252,482,459,200,117,142,840,165,350,217,259,
442,598,289,222,031,466,075,597,653,947,115,143,476,541,067,973,110,833,698,
988,980,195,015,865,469,015,475,186,625,526,038,221,227,668,333,160,055,437,
751,626,351,010,061,954,271,525,375,269,710,273,341,950,021,092,036,144,558,
366,766,146,030,730,433,168,732,112,154,118,492,742,226,390,594,563,298,701,
110,107,820,182,586,595,559,683,494,848,663,689,779,340,928,369,313,228,184,
260,743,627,464,186,052,739,474,253,759,995,708,808,616,593,311,067,251,348,
058,355,962,760,225,313,917,519,003,269,058,299,898,604,588,550,797,857,440,
817,464,261,696,310,516,061,800,507,762,857,486,765,236,264,739,267,812,786,
403,354,592,755,136,581,877,884,222,828,080,031,166,428,993,955,376,043,614,
008,704,058,668,396,231,415,877,188,830,650,608,628,178,634,081,426,619,180,
829,465,385,173,886,735,608,283,739,659,768,031,366,509,259,961,908,331,678,
834,011,541,114,062,365,167,121,517,696,410,155,866,916,297,203,123,888,346,
967,268,910,194,635,983,231,334,757,931,916,161,245,263,297,478,754,833,128,
133,977,397,214,344,814,529,573,923,217,485,748,473,221,130,535,522,297,263,
159,773,988,515,415,160,992,762,133,609,653,173,646,912,838,529,149,272,786,
051,697,112,911,676,949,044,139,349,461,622,310,047,800,072,544,756,974,022,
005,107,967,515,953,731,476,421,268,046,865,513,939,803,480,815,629,239,818,
409,454,154,619,970,422,293,476,971,591,254,553,435,631,510,236,486,317,733,
044,250,329,039,345,106,672,667,977,807,552,264,589,759,681,183,526,900,689,
837,420,058,485,469,581,177,113,178,710,586,707,531,914,387,312,283,080,429,
394,447,815,043,782,572,200,404,780,808,696,280,948,567,106,836,655,197,306,
977,573,983,891,164,500,986,316,551,353,446,127,910,091,429,432,952,206,041,
439,450,276,981,877,882,293,750,445,099,748,756,921,095,947,190,012,103,744,
412,600,697,242,738,658,918,612,241,290,357,360,023,127,300,078,852,107,193,
085,276,628,879,655,312,017,082,209,812,876,712,790,544,325,155,362,381,905,
271,461,175,219,782,095,642,561,368,428,215,220,540,135,711,813,269,704,562,
838,065,472,216,142,394,185,920,030,022,349,167,948,809,847,971,641,364,615,
865,584,523,047,895,346,952,717,835,683,215,353,145,260,052,797,924,294,323,
212,952,142,263,321,498,730,288,452,004,888,498,773,732,662,676,282,723,753,
033,177,836,946,974,322,518,401,551,586,664,687,749,286,852,617,160,596,845,
356,917,775,421,801,184,734,676,104,958,708,348,711,728,755,523,886,257,525,
339,844,189,381,439,958,759,217,175,743,643,147,684,658,261,519,496,305,685,
951,985,243,639,519,144,869,729,446,689,690,476,609,400,745,333,038,152,907,
894,814,803,391,344,858,619,494,470,729,803,304,495,486,920,914,570,379,184,
590,695,227,508,671,176,884,339,143,872,563,447,735,978,534,954,569,518,149,
541,589,563,951,139,418,649,505,089,378,269,687,706,527,213,620,038,957,560,
820,156,858,574,609,546,812,426,669,940,437,012,373,512,605,139,977,807,249,
721,090,918,796,786,706,694,471,397,652,371,049,834,562,477,898,053,611,939,
436,685,631,136,040,917,694,103,053,104,409,392,869,067,273,945,049,901,278,
826,264,483,093,636,051,230,937,919,159,184,108,742,110,693,796,119,092,472,
792,710,615,977,801,511,440,686,986,583,744,221,169,360,434,888,280,020,163,
872,940,381,459,183,479,826,854,956,727,157,531,798,821,110,396,290,090,670,
857,250,275,781,177,582,436,247,296,685,184,111,401,151,504,394,884,371,002,
851,530,198,651,910,672,062,942,253,134,569,144,154,129,063,297,482,959,128,
476,132,606,878,602,703,455,256,802,208,397,604,666,049,531,686,713,508,708,
569,309,042,795,439,305,389,273,607,318,692,369,538,120,556,209,454,546,788,
626,226,582,968,353,336,384,264,233,896,258,278,377,403,062,365,002,549,467,
604,474,865,848,287,662,634,564,959,328,440,908,359,897,280,848,259,568,968,
443,274,078,443,499,261,599,200,349,697,861,381,541,189,145,482,762,973,936,
702,171,009,375,401,860,448,380,679,109,728,673,802,828,018,761,645,765,527,
038,516,363,340,045,288,109,479,151,429,247,252,021,413,054,028,050,779,753,
803,862,766,407,468,166,145,908,224,244,779,591,563,904,485,888,944,312,243,
256,369,993,345,611,621,624,368,961,974,562,322,956,793,717,800,995,238,057,
025,986,962,293,350,116,555,974,314,434,009,907,045,408,918,650,545,612,116,
451,339,448,578,154,773,849,417,522,409,006,068,470,394,280,786,494,789,114,
534,225,178,444,175,949,144,966,645,521,058,489,028,138,298,717,062,005,627,
258,771,950,384,201,200,428,968,022,658,260,353,001,694,212,345,689,784,339,
229,110,942,000,921,175,566,114,894,986,716,998,276,027,597,031,662,786,295,
312,063,308,696,548,830,132,982,650,644,166,008,140,173,928,192,386,638,911,
858,264,788,689,394,689,999,259,004,359,593,985,136,443,501,926,816,664,798,
419,498,291,716,203,389,840,192,809,867,499,800,955,473,372,135,385,184,208,
700,192,555,364,368,239,298,091,367,934,163,654,967,280,119,160,705,672,450,
922,911,009,143,639,588,415,188,035,570,319,455,580,391,254,387,458,045,805,
142,791,653,670,057,000,184,782,287,078,998,777,809,290,766,849,453,097,737,
573,229,583,057,363,604,151,447,299,379,161,913,744,569,357,997,336,181,203,
107,244,389,233,316,302,137,835,046,121,207,867,003,767,899,013,100,383,023,
392,287,205,751,080,379,243,844,927,524,778,818,330,852,313,847,676,187,863,
200,307,668,714,663,918,994,948,580,892,030,794,998,750,057,659,012,245,650,
065,482,096,670,465,569,722,916,024,174,860,884,180,963,424,912,313,023,545,
188,361,356,627,907,478,495,406,766,750,667,543,742,323,418,770,603,420,125,
197,126,680,865,101,946,592,224,893,789,866,998,691,316,429,673,316,433,202,
731,026,359,117,997,309,737,524,196,612,227,989,610,076,059,606,868,329,614,
061,384,042,250,129,422,715,919,487,196,372,818,855,211,673,245,117,536,181,
223,663,281,356,704,189,378,714,911,994,514,892,482,202,854,068,537,710,291,
934,769,495,503,288,623,461,540,662,998,084,041,670,300,790,020,453,578,100,
121,514,560,366,839,324,009,100,820,861,657,206,382,171,365,771,327,664,689,
153,968,792,245,166,492,977,654,863,782,929,074,417,506,170,820,128,143,865,
091,478,289,160,731,448,809,533,607,634,548,043,111,230,455,638,385,147,635,
260,762,107,272,924,619,378,886,733,699,903,950,613,986,443,096,800,737,478,
497,656,764,285,100,192,658,485,160,991,255,122,829,985,622,619,701,065,116,
960,476,635,219,348,785,438,647,230,382,249,294,827,627,539,785,311,740,118,
798,800,963,610,630,010,326,586,612,746,771,870,755,575,127,716,148,739,999,
937,909,939,888,132,831,471,395,621,607,794,186,047,975,987,196,146,784,190,
634,691,090,221,784,924,922,965,752,022,747,356,574,043,928,733,421,588,724,
250,675,746,785,884,762,630,363,358,065,324,406,158,005,036,248,921,915,770,
518,407,277,661,746,113,023,311,467,173,437,549,257,872,798,275,077,610,844,
667,341,282,862,864,891,548,065,735,210,711,565,401,480,420,569,453,977,567,
258,624,021,035,820,444,114,641,906,730,459,762,308,178,224,552,010,911,104,
017,054,664,440,638,951,807,959,051,566,673,863,194,066,760,871,167,406,215,
016,451,461,368,262,786,976,466,579,753,991,742,233,641,240,465,245,680,181,
916,354,717,443,119,542,499,392,456,688,902,088,095,038,286,113,345,565,426,
142,432,087,623,469,779,308,084,840,288,612,203,020,597,665,061,540,792,721,
093,862,448,497,731,131,264,460,635,673,952,850,616,215,875,242,858,142,201,
539,072,028,227,562,547,265,799,305,160,494,663,747,141,628,663,490,657,712,
618,254,973,866,737,170,932,422,999,471,492,319,300,257,653,688,276,741,894,
299,067,609,789,096,899,360,351,666,085,595,122,476,300,280,572,416,356,784,
824,451,950,063,903,755,833,327,059,880,108,139,496,946,173,962,866,325,513,
573,735,629,114,153,008,683,937,461,194,902,594,058,589,047,752,386,036,380,
913,985,483,367,398,428,892,560,097,147,419,859,964,036,742,552,028,339,243,
100,008,714,057,670,253,263,384,015,095,974,064,241,473,829,430,299,394,613,
768,373,491,108,519,763,039,924,613,814,129,040,065,736,925,783,580,084,808,
350,664,543,944,316,270,864,824,521,658,372,506,090,794,416,843,893,953,418,
187,684,366,485,791,130,488,589,699,026,442,052,569,585,596,227,531,751,528,
664,190,247,725,406,674,390,784,732,960,848,030,659,795,215,258,823,181,315,
509,268,440,158,574,543,418,077,463,978,378,778,027,134,175,878,396,554,631,
257,246,377,340,392,985,274,804,356,555,685,107,801,067,168,039,794,864,881,
209,269,771,229,099,503,128,134,192,877,434,230,059,541,774,200,210,365,684,
474,104,966,581,071,176,039,274,985,135,917,332,339,822,941,420,129,250,761,
654,848,653,463,340,907,530,072,991,128,297,914,267,288,976,206,669,742,111,
262,664,619,853,674,244,042,549,439,494,320,011,521,059,110,374,214,392,656,
340,020,711,998,537,527,796,681,255,629,291,137,485,657,652,824,355,834,845,
936,422,055,481,515,354,728,291,686,715,770,423,166,064,679,626,608,696,728,
915,224,298,541,060,172,638,215,560,568,862,642,360,560,203,253,506,332,622,
118,920,487,832,201,955,991,859,701,138,141,449,310,463,138,875,443,601,799,
837,543,438,332,770,616,225,213,412,773,572,096,243,609,265,002,757,320,519,
220,171,424,400,610,637,074,909,587,996,075,211,740,671,394,036,584,368,085,
537,377,439,890,256,052,852,397,466,844,779,091,332,393,195,972,162,495,787,
110,831,199,375,067,577,733,916,047,765,139,268,156,605,772,630,951,263,363,
247,416,055,639,313,234,549,600,130,715,779,904,245,345,646,380,919,335,332,
859,812,521,655,475,280,227,348,797,923,755,737,073,371,283,670,214,272,418,
927,433,451,600,920,100,328,718,804,621,176,768,467,573,310,087,995,127,778,
536,618,351,007,429,920,890,958,525,473,554,068,076,736,540,379,482,351,137,
328,320,144,589,097,832,165,854,839,403,157,698,564,738,402,519,371,092,339,
239,947,400,303,919,372,336,252,776,216,030,744,313,031,304,234,636,231,424,
979,536,153,520,423,115,946,503,253,710,333,413,464,252,011,259,528,660,454,
356,792,979,923,180,545,401,977,075,250,442,920,321,605,661,572,474,687,785,
327,713,219,395,098,941,924,114,804,415,469,959,532,441,256,726,688,908,699,
344,468,795,923,236,121,717,707,723,625,808,250,423,412,276,515,983,992,326,
040,762,156,351,457,547,262,523,596,011,245,157,376,922,733,914,944,914,080,
943,715,763,759,680,611,173,588,462,260,886,670,064,814,941,323,088,629,306,
442,217,926,250,094,371,157,543,641,304,239,804,510,148,248,637,416,831,185,
266,076,156,084,937,185,089,717,708,917,721,756,737,089,845,242,615,029,628,
128,798,636,156,945,923,002,612,738,684,835,226,541,995,120,297,145,357,444,
703,829,843,804,298,814,920,125,343,403,782,886,150,975,210,206,202,696,981,
966,098,910,758,771,571,433,576,701,586,473,282,318,784,226,759,964,470,369,
793,998,475,869,749,711,025,791,651,008,745,537,542,249,077,674,912,257,745,
521,163,695,630,848,465,956,405,817,289,152,825,829,193,610,955,180,331,570,
673,709,262,138,002,825,978,073,222,545,191,059,202,448,978,544,414,343,545,
396,417,590,519,650,360,364,598,736,698,338,828,891,548,417,330,286,845,150,
430,255,374,518,401,272,234,716,402,023,480,585,468,592,816,318,552,393,691,
296,689,848,210,643,079,704,105,407,474,545,791,442,524,929,457,985,881,360,
000,283,039,799,901,013,754,776,301,707,861,415,008,048,262,769,202,699,972,
393,105,680,992,128,903,393,195,639,354,149,776,699,413,885,457,712,365,350,
174,615,359,949,013,435,615,055,676,654,014,143,920,844,593,628,822,643,497,
275,469,878,411,186,507,199,423,135,837,367,129,153,635,638,719,195,363,851,
769,449,807,837,061,098,524,787,104,475,692,440,863,313,909,415,836,151,280,
134,806,742,209,795,798,092,390,328,294,691,373,788,872,050,199,093,654,627,
755,416,298,782,268,342,118,091,667,206,833,186,476,524,289,642,735,784,861,
000,036,195,677,962,040,976,437,395,829,245,009,062,521,853,748,034,186,355,
880,818,458,382,460,546,880,213,238,598,225,779,013,409,919,517,639,803,321,
518,590,146,963,718,260,888,060,372,442,565,404,272,426,064,272,290,909,473,
692,377,100,419,952,837,561,772,027,753,473,630,988,466,342,428,408,189,960,
956,120,081,205,411,264,503,536,627,617,341,831,181,698,407,953,555,849,943,
697,221,245,887,531,527,823,457,331,503,934,643,510,666,639,014,859,463,030,
702,200,346,534,563,364,314,870,474,204,109,095,125,129,812,320,829,411,296,
607,627,653,233,322,701,142,689,327,105,884,601,967,509,900,916,532,268,010,
502,034,293,472,053,746,434,705,101,672,895,221,245,654,964,683,617,526,778,
684,163,713,198,994,048,607,864,016,414,014,459,636,361,176,900,805,817,829,
500,268,593,154,962,725,636,502,263,900,207,453,886,121,101,736,735,396,709,
113,896,408,555,539,381,697,279,969,325,412,325,906,907,896,162,567,657,161,
851,540,373,713,488,207,085,332,488,870,987,342,139,526,738,072,674,842,706,
568,482,040,799,630,355,203,803,909,982,751,558,341,679,577,387,545,292,863,
405,112,080,340,235,468,147,156,805,594,186,220,429,312,955,011,783,289,508,
780,959,484,856,912,384,521,836,047,240,652,255,290,961,898,085,700,293,408,
911,882,347,556,867,729,907,316,365,191,011,557,078,034,342,810,060,300,944,
521,534,576,109,536,857,658,960,281,948,747,584,114,688,969,180,709,412,208,
819,792,996,205,933,817,461,376,264,073,250,688,212,697,081,560,092,932,243,
264,010,627,301,609,621,830,210,416,617,427,165,791,954,874,343,039,502,138,
899,906,887,210,494,902,286,278,772,907,296,584,672,478,187,870,604,022,832,
227,472,103,818,498,314,185,584,645,053,249,561,399,037,817,270,380,222,918,
760,961,237,611,359,807,689,323,970,205,524,271,782,082,140,599,529,923,890,
820,038,939,614,880,364,685,688,515,547,260,907,402,805,753,291,523,754,801,
715,214,887,143,991,597,128,511,632,848,017,582,897,354,030,482,417,195,443,
678,463,555,422,344,070,401,193,233,710,923,925,401,874,455,646,216,904,154,
619,018,948,770,625,330,941,029,707,398,678,481,076,453,898,561,517,771,249,
472,906,036,723,649,562,143,229,769,604,290,803,790,447,021,717,333,783,457,
086,692,056,594,784,503,991,442,686,741,101,842,379,771,905,128,507,296,427,
415,986,955,081,537,122,524,892,312,673,364,558,866,552,994,943,030,841,748,
313,794,620,901,998,960,661,273,816,699,763,077,635,029,851,779,535,255,247,
968,518,525,322,740,807,507,428,132,941,494,475,550,825,579,939,861,134,666,
504,529,063,333,154,589,414,970,126,201,821,996,243,858,625,215,688,765,918,
255,611,593,094,675,899,318,765,020,403,078,906,436,366,468,988,721,529,806,
675,078,411,228,042,524,122,224,801,217,932,126,411,884,992,993,530,224,237,
566,082,813,287,889,926,460,096,043,994,420,281,406,906,634,303,272,660,947,
279,476,230,220,011,508,399,588,291,255,618,523,577,310,184,663,979,019,819,
596,245,540,563,460,294,878,908,684,217,010,680,573,418,776,147,689,939,046,
373,753,973,305,866,708,231,874,181,035,741,846,360,848,934,859,479,673,475,
513,374,022,846,141,682,676,589,429,392,415,149,716,635,313,996,456,764,629,
941,363,769,254,653,884,167,952,324,640,466,456,036,402,983,992,257,971,113,
288,005,979,853,392,753,500,821,385,887,709,155,441,549,447,515,766,937,606,
920,432,665,262,761,266,814,024,327,752,172,912,719,136,269,122,582,764,430,
832,948,557,984,238,753,232,161,999,561,048,606,565,177,320,994,666,429,541,
243,171,284,595,286,870,152,330,135,374,113,836,493,990,819,283,008,920,686,
444,020,407,089,149,328,689,608,191,320,799,481,435,525,367,898,959,835,010,
367,889,117,020,807,700,464,266,245,709,370,747,368,523,912,879,899,407,773,
422,870,377,362,690,083,375,198,237,233,539,790,289,261,933,297,707,751,242,
295,848,246,828,325,574,197,216,997,401,779,252,955,152,065,886,628,725,835,
861,408,749,461,335,899,655,653,377,545,212,364,932,303,622,379,019,261,336,
911,265,526,414,240,916,430,245,475,565,025,453,745,601,722,512,154,034,971,
998,069,715,194,657,153,097,089,942,474,373,111,043,128,062,241,322,393,798,
547,589,916,826,177,178,885,590,061,226,369,865,595,656,912,790,692,052,656,
683,882,002,585,660,726,380,419,609,689,552,501,728,603,271,449,797,076,875,
333,177,782,816,819,419,282,248,173,556,861,631,731,078,800,461,316,600,533,
821,538,679,056,894,352,320,895,312,393,023,789,913,734,033,505,001,085,742,
289,160,293,163,381,378,132,417,905,750,910,201,104,437,044,708,439,509,879,
654,644,406,187,324,127,700,401,768,389,021,118,397,577,145,399,316,648,607,
117,562,982,333,826,771,994,114,961,695,438,489,607,271,151,209,921,839,667,
550,081,587,890,823,640,490,181,972,875,873,644,697,237,096,002,806,971,940,
780,732,408,970,167,154,855,249,395,280,493,970,672,889,700,321,392,009,268,
468,991,657,918,678,880,231,961,670,545,680,047,758,517,794,259,085,419,223,
417,792,339,035,235,302,359,140,906,113,125,076,291,710,088,946,381,687,046,
115,223,893,746,716,484,873,647,615,875,250,661,395,204,078,980,797,656,002,
617,892,483,980,248,813,044,216,585,753,763,694,466,182,126,621,357,881,865,
310,042,643,213,890,251,508,509,371,573,511,256,990,146,588,484,744,753,060,
424,106,144,750,575,093,132,865,932,697,998,256,751,138,780,040,471,971,117,
615,070,529,600,752,308,736,331,148,184,789,482,890,657,425,383,580,409,241,
031,736,835,782,427,775,645,424,210,084,919,390,292,854,069,528,426,540,626,
625,588,106,443,696,268,092,378,076,814,666,755,309,429,722,273,208,139,915,
226,265,223,828,412,731,582,540,070,059,370,346,847,580,242,323,970,804,863,
742,030,363,630,469,972,567,130,506,676,233,935,643,195,206,589,870,373,687,
825,904,528,471,318,841,699,466,597,487,615,554,988,626,510,271,858,543,056,
807,459,992,373,053,334,236,738,587,761,781,417,820,235,409,694,890,195,564,
523,597,729,191,071,488,961,922,248,369,754,898,669,489,190,868,337,321,938,
420,984,520,398,647,999,860,025,601,714,945,780,050,576,891,342,528,945,946,
356,755,351,585,777,389,362,592,340,791,456,103,830,348,635,507,632,335,894,
626,899,049,597,530,521,689,883,197,966,550,112,199,703,287,008,054,915,829,
260,260,126,368,847,962,141,894,443,259,920,266,374,726,190,279,846,700,912,
663,445,496,040,430,237,314,267,406,014,312,326,601,143,717,807,077,627,169,
900,045,686,856,540,009,118,189,188,504,310,989,648,718,547,154,928,129,253,
250,885,786,054,370,668,581,654,391,305,939,861,376,370,168,675,051,276,783,
692,951,659,784,975,605,101,304,599,574,051,321,420,932,809,495,940,653,103,
863,891,269,579,545,734,711,631,082,719,534,369,488,945,588,419,145,864,833,
066,535,200,658,582,533,703,811,886,983,745,013,970,120,899,950,494,070,362,
360,814,948,883,092,423,462,229,450,186,996,314,734,741,081,167,112,022,675,
850,618,406,512,440,324,069,603,608,028,965,034,622,296,535,775,266,309,355,
815,209,457,754,348,416,869,873,386,912,540,543,622,502,288,352,417,515,252,
837,063,250,529,217,748,160,190,347,652,302,517,668,969,089,401,187,499,818,
995,276,624,393,078,854,847,880,454,472,564,119,885,807,104,829,264,726,047,
531,442,761,689,782,527,285,329,112,774,032,652,097,346,042,673,960,562,690,
860,061,586,548,743,093,521,997,515,890,922,571,956,339,681,243,563,036,524,
184,442,319,207,414,350,385,959,577,319,278,462,440,566,387,747,223,822,040,
309,264,182,105,938,600,308,434,875,422,258,856,376,693,523,805,879,947,121,
521,531,901,854,791,609,304,413,881,809,346,004,040,492,358,622,791,509,800,
656,696,858,939,460,971,652,842,286,862,687,912,837,378,110,476,196,901,165,
790,202,200,047,024,559,108,206,410,169,710,337,175,927,084,039,643,461,924,
987,965,869,072,261,882,256,198,613,070,483,678,515,457,020,236,680,108,804,
243,760,655,915,544,768,577,806,467,758,454,137,098,001,437,584,460,748,734,
724,769,876,209,126,523,191,436,085,102,817,701,882,064,209,292,841,993,480,
657,251,996,140,034,189,889,483,605,779,062,178,515,244,936,864,991,450,907,
636,610,946,360,756,451,055,039,037,928,574,265,712,627,280,707,102,774,425,
242,882,338,627,168,156,938,128,689,805,092,558,036,780,030,883,793,517,082,
444,515,590,150,708,721,404,455,110,642,656,663,381,232,137,190,201,531,349,
567,984,576,050,549,942,143,175,705,352,019,882,350,079,264,794,175,517,482,
827,221,683,129,144,360,076,486,142,993,038,221,285,862,446,728,831,329,311,
067,068,913,886,870,245,676,231,448,459,657,080,097,731,710,980,848,537,651,
673,612,455,826,193,694,991,937,751,856,230,676,044,327,070,612,008,382,210,
157,198,989,728,336,490,785,497,838,577,077,976,110,229,453,512,602,737,074,
849,991,327,999,581,640,124,561,387,372,492,300,143,432,398,117,772,769,571,
179,302,179,367,125,034,783,469,533,941,289,773,116,347,399,410,746,564,910,
888,281,168,727,896,966,949,662,577,464,237,807,818,751,591,123,494,234,023,
802,627,503,831,429,379,095,594,579,648,127,681,689,590,897,181,975,417,631,
034,176,721,307,435,730,330,808,906,328,813,594,666,554,049,036,602,142,550,
629,361,294,633,795,147,779,115,995,428,736,351,273,197,367,055,417,091,255,
693,705,953,727,704,180,258,148,764,243,152,421,285,361,825,311,418,212,261,
908,426,826,868,584,803,060,423,323,459,906,345,911,542,720,541,642,776,973,
603,155,075,789,460,603,764,982,899,128,763,061,342,116,004,582,348,792,245,
809,808,385,021,009,885,324,058,260,977,731,888,974,437,892,948,024,694,632,
907,284,006,502,674,994,607,379,073,509,176,333,432,198,310,892,915,239,697,
476,069,831,799,127,551,585,227,524,007,120,022,166,983,836,700,452,741,319,
679,811,302,800,985,949,415,700,965,513,312,946,742,983,281,126,251,784,351,
390,815,572,459,250,859,291,581,938,719,899,679,911,220,578,488,208,794,545,
320,381,830,016,117,320,583,972,976,778,299,298,027,461,378,784,740,224,025,
830,048,005,010,696,531,678,441,120,015,857,306,031,556,532,247,823,416,694,
121,357,537,277,459,311,466,628,484,682,586,374,319,633,009,421,145,372,209,
333,261,758,535,770,802,440,834,233,797,211,561,799,254,468,464,495,025,672,
725,219,256,176,197,771,289,629,117,677,644,126,866,223,401,902,819,283,892,
737,860,074,443,546,593,109,438,284,763,943,490,584,945,341,937,791,895,880,
554,557,638,727,523,354,013,625,857,442,165,192,345,056,581,784,802,905,796,
270,254,166,422,129,758,357,844,343,139,648,411,622,447,814,119,248,146,657,
597,283,307,036,538,956,183,164,624,121,993,560,025,871,607,565,634,342,003,
391,829,869,268,765,618,119,604,944,638,765,381,778,580,136,753,012,798,941,
878,534,925,032,014,973,856,735,342,596,073,225,984,266,495,274,495,685,394,
612,748,138,833,201,425,238,096,616,537,610,023,953,759,098,995,520,711,179,
569,372,546,709,231,905,200,912,206,010,898,080,726,989,200,471,934,157,789,
126,193,016,310,320,490,884,097,118,878,489,947,918,141,583,409,565,792,974,
476,370,247,205,295,211,500,478,037,071,369,278,593,026,795,087,933,816,120,
019,286,522,120,933,426,533,507,372,540,532,761,888,503,111,216,233,685,441,
558,959,302,357,160,988,551,550,994,775,511,032,929,334,562,905,264,184,808,
062,960,976,638,363,179,207,930,532,733,074,309,116,040,880,119,715,046,023,
614,372,082,332,318,917,609,393,081,990,285,160,498,887,996,382,679,326,784,
439,274,123,923,315,708,279,267,794,510,785,337,717,225,537,791,623,999,509,
048,103,503,634,260,702,254,148,693,798,622,848,537,166,032,079,801,218,330,
171,479,501,095,832,459,202,353,215,833,187,370,131,152,983,753,748,661,966,
979,152,743,215,878,574,743,829,563,936,361,548,169,452,671,876,345,356,533,
492,072,671,900,452,264,199,687,562,518,815,344,801,677,181,059,246,880,998,
826,632,929,821,760,967,634,118,850,728,566,720,431,278,325,171,545,188,022,
745,614,986,786,430,129,115,750,164,324,370,478,019,769,417,944,956,692,066,
202,749,020,384,246,419,527,983,497,705,337,789,591,916,477,100,632,090,976,
251,952,590,086,399,296,805,126,983,349,785,556,011,580,811,789,318,100,681,
133,205,869,366,382,246,622,449,410,934,398,253,075,228,218,440,143,338,370,
566,118,447,849,269,775,959,337,957,034,935,007,587,776,187,627,794,080,739,
405,279,242,145,712,474,164,350,477,537,907,844,461,645,457,960,688,443,190,
221,129,166,808,960,055,555,963,990,782,036,303,416,035,204,703,440,175,749,
302,783,027,224,605,977,227,344,634,864,106,086,287,193,116,988,298,466,055,
625,216,099,700,777,612,304,413,234,077,342,278,908,571,333,528,757,522,078,
883,156,527,906,019,039,819,451,696,720,996,886,395,476,974,790,048,959,000,
758,610,166,975,424,646,543,926,830,815,302,253,474,660,901,053,157,621,010,
323,469,366,259,955,103,216,624,966,535,316,563,003,517,153,749,182,657,213,
117,457,514,649,674,414,601,227,224,278,148,744,840,418,349,324,536,322,262,
316,630,173,506,174,814,097,825,370,458,282,594,974,636,244,165,533,689,162,
606,250,998,398,506,394,962,392,489,945,468,812,418,164,412,031,434,875,613,
109,472,990,202,887,833,031,537,026,310,297,045,926,853,837,271,443,628,272,
259,067,827,446,972,680,650,901,167,897,789,241,173,040,710,938,678,179,789,
671,960,295,910,580,657,582,762,007,388,530,838,161,670,314,580,872,775,483,
451,980,083,169,947,544,216,369,407,231,090,938,479,875,482,085,054,091,127,
729,150,470,325,541,672,210,662,326,874,267,304,590,564,821,769,442,417,562,
025,672,597,940,306,322,366,857,603,891,287,609,743,333,122,746,762,515,985,
350,676,065,460,588,136,589,759,879,889,836,727,711,794,589,963,915,350,085,
435,480,434,641,460,618,595,729,125,650,855,213,663,913,271,636,098,480,741,
202,917,219,596,326,935,160,344,721,304,995,871,082,018,580,732,762,936,986,
930,384,301,836,012,941,562,250,913,783,575,531,267,305,921,892,254,161,654,
395,910,036,744,478,965,025,569,265,519,673,939,820,103,796,615,526,638,807,
851,016,871,031,341,985,265,458,421,163,603,253,840,362,763,709,304,625,911,
734,706,849,753,423,055,821,754,685,804,552,236,702,308,198,599,122,682,611,
904,285,591,596,930,808,824,983,285,610,195,796,673,802,582,936,131,137,101,
868,183,618,401,607,708,674,711,147,133,288,657,963,161,575,645,822,619,575,
387,418,021,797,087,027,498,054,659,928,865,670,712,984,771,987,935,443,020,
729,674,050,715,422,986,245,758,276,584,312,724,512,635,296,026,701,982,510,
417,688,650,289,733,246,862,119,335,012,148,482,965,229,525,092,423,642,581,
451,210,283,968,986,071,391,050,158,240,242,641,896,874,336,976,019,420,279,
335,372,658,221,757,489,170,108,643,576,917,687,742,718,555,990,644,426,633,
806,813,474,791,588,926,167,709,356,271,051,825,939,952,736,482,460,495,094,
921,026,918,575,378,655,295,596,875,495,415,618,466,140,808,161,851,816,620,
081,073,657,194,581,555,365,135,217,711,365,266,864,427,161,798,029,657,222,
842,164,229,734,550,662,754,659,137,671,622,553,486,661,225,539,489,452,259,
234,943,338,217,415,378,606,225,718,642,768,476,689,061,608,682,566,411,962,
475,143,249,627,492,058,013,387,094,084,159,527,764,552,638,388,985,185,285,
018,800,970,661,995,942,520,285,374,118,958,393,531,743,193,791,995,844,285,
923,098,916,263,549,073,641,258,288,394,185,759,135,630,819,799,418,056,574,
155,704,522,279,003,163,729,361,951,467,612,817,401,900,453,006,562,722,343,
973,751,136,263,680,680,409,359,727,241,635,317,148,319,204,080,237,961,598,
189,317,399,508,181,639,101,128,743,635,964,416,959,505,940,039,168,624,560,
717,666,171,163,926,556,461,604,460,627,975,548,065,286,833,193,289,689,470,
549,328,766,231,562,613,133,434,667,338,016,693,358,143,617,855,912,913,429,
791,305,529,695,165,848,108,203,344,922,473,108,786,769,969,281,246,678,108,
378,958,804,289,699,051,207,895,767,294,421,720,176,239,391,961,751,732,029,
220,081,279,907,863,692,244,254,629,000,550,155,334,375,363,424,081,684,024,
877,381,330,767,432,240,954,590,084,713,603,596,752,695,447,757,500,404,643,
620,057,791,209,214,308,579,548,964,272,241,510,917,758,142,902,704,297,768,
303,475,330,998,051,961,340,362,965,275,502,903,017,155,896,908,252,183,975,
541,124,549,099,254,386,765,913,687,738,995,734,953,281,734,504,780,085,346,
336,695,203,637,946,843,276,760,506,568,354,354,213,196,731,110,723,047,399,
928,862,179,177,091,051,479,690,777,319,882,020,598,398,321,730,082,782,603,
687,876,789,407,280,922,900,884,484,682,537,927,303,654,500,314,827,231,859,
102,309,153,959,966,054,631,891,453,565,223,091,846,033,428,726,434,443,379,
177,745,820,675,214,361,285,621,776,434,896,751,331,105,325,974,775,929,733,
426,885,388,596,210,476,303,820,098,659,681,875,747,544,286,363,673,868,628,
556,323,636,397,898,299,129,114,378,775,444,302,671,710,126,502,808,998,353,
558,746,342,058,406,297,736,852,213,727,262,968,356,349,852,354,814,239,459,
870,140,053,448,563,415,059,241,443,743,886,861,105,049,010,707,320,127,144,
045,004,042,538,280,925,254,539,119,666,416,034,213,654,700,071,712,565,588,
072,208,874,891,698,164,614,783,785,838,590,889,176,414,741,543,476,339,942,
718,764,846,563,897,656,583,539,309,244,023,741,951,166,154,091,600,408,146,
260,534,661,538,500,323,111,279,054,934,297,536,407,610,668,626,998,148,841,
809,872,608,934,210,350,714,998,269,264,751,386,423,353,206,888,987,770,824,
976,083,488,645,629,854,592,492,673,916,271,381,437,319,109,863,780,266,971,
711,914,263,954,370,324,845,902,803,814,334,299,926,589,029,286,776,115,744,
155,104,941,797,492,129,939,107,650,903,012,978,229,502,948,142,952,989,727,
523,261,934,157,688,519,008,692,743,406,140,849,873,153,364,409,693,659,868,
359,002,410,238,253,294,784,019,961,858,513,300,814,936,340,287,584,393,028,
459,793,035,183,229,593,302,059,914,799,330,563,727,184,076,705,236,910,073,
670,489,484,125,567,983,406,625,223,464,924,203,725,565,993,006,724,785,413,
177,863,853,317,909,741,312,003,151,325,395,672,564,245,943,698,027,384,503,
726,932,878,983,786,903,439,638,403,403,387,424,119,423,375,907,973,991,227,
522,568,775,569,911,047,384,232,355,104,610,335,017,283,315,006,493,344,048,
644,683,404,674,203,151,794,734,099,685,248,881,826,027,962,868,107,443,530,
587,112,893,365,117,412,893,274,835,909,340,397,403,618,402,978,522,274,173,
933,540,597,573,469,947,594,140,769,833,156,557,107,147,549,984,725,338,636,
038,470,078,248,528,080,352,338,434,117,496,338,785,552,010,548,854,709,556,
811,015,730,621,536,908,991,907,679,158,572,035,403,695,569,443,267,982,303,
901,797,922,383,893,166,328,418,080,014,426,148,141,291,060,042,134,918,179,
089,335,079,880,918,788,924,044,514,269,198,159,352,370,194,656,561,268,604,
265,254,354,416,986,083,357,513,443,058,046,868,029,047,339,883,132,900,641,
658,618,980,935,869,173,349,659,866,282,762,865,029,929,104,704,385,384,008,
116,658,842,541,865,594,623,455,013,666,684,345,270,503,383,678,061,785,846,
123,247,953,425,809,413,457,094,359,570,162,009,715,450,758,892,227,163,567,
423,495,297,178,670,876,612,788,017,776,818,366,396,339,475,761,752,610,585,
221,482,581,724,028,453,535,219,841,528,108,432,377,317,769,606,069,843,343,
870,875,892,306,418,728,237,842,153,302,180,928,395,615,931,907,714,037,986,
578,601,242,247,598,244,714,982,075,361,636,647,785,534,898,474,757,677,434,
653,603,511,208,961,065,277,433,450,112,002,877,182,460,765,960,008,264,428,
359,340,669,103,685,864,544,183,466,564,829,526,441,204,284,069,470,150,314,
335,650,417,659,206,995,670,242,703,573,383,947,596,280,412,539,325,863,433,
867,948,303,878,676,313,786,018,413,687,766,559,197,199,732,966,531,996,506,
169,620,209,310,073,111,471,100,667,413,682,103,117,703,499,910,006,052,159,
111,511,362,114,537,564,999,042,012,294,048,832,676,836,382,200,250,099,478,
179,152,991,944,846,960,213,224,288,787,418,569,122,628,947,796,484,759,438,
298,640,556,070,916,773,464,599,206,923,265,200,198,508,167,230,189,097,796,
311,391,568,627,291,469,492,815,139,358,518,226,636,246,771,263,759,213,363,
478,139,944,335,222,724,262,806,234,973,946,297,901,203,690,824,939,401,493,
348,826,313,002,106,510,141,875,286,563,051,736,981,183,531,764,377,769,713,
047,011,839,400,611,568,407,034,525,931,427,162,579,488,758,864,587,440,303,
908,912,470,017,343,714,283,800,796,594,707,508,803,704,879,906,988,348,255,
394,096,074,818,980,034,377,416,300,639,500,223,247,560,208,684,103,047,872,
459,168,630,728,040,947,685,936,954,530,663,836,215,039,648,227,637,024,472,
240,755,859,546,811,194,896,920,941,816,303,233,684,762,591,563,547,053,874,
383,400,770,229,828,690,227,079,164,701,519,447,863,529,604,780,515,184,933,
652,765,298,300,179,547,188,546,042,879,688,939,618,596,748,993,887,343,192,
070,048,874,994,727,870,558,177,941,209,184,347,621,354,302,960,311,481,426,
440,936,475,213,265,706,580,015,384,469,679,062,650,746,253,378,496,816,664,
608,333,453,699,823,310,209,984,526,491,686,903,146,090,365,475,547,376,925,
311,510,642,428,432,161,362,966,449,341,756,209,242,401,579,060,415,377,794,
214,004,156,307,396,885,222,580,844,379,470,905,142,224,257,303,929,137,603,
663,935,497,629,318,561,577,982,963,687,474,956,636,982,048,805,851,492,145,
751,744,948,718,459,996,000,045,335,735,617,881,736,984,397,874,984,936,087,
817,148,985,072,815,701,815,970,967,012,549,709,222,838,976,749,348,315,312,
757,859,730,478,506,502,955,033,418,324,720,052,872,094,510,761,628,126,845,
349,628,271,912,936,845,793,808,287,572,792,572,812,263,835,488,183,776,903,
045,995,305,641,220,442,482,159,205,007,869,852,632,142,877,058,064,863,598,
048,531,718,187,287,622,583,001,178,802,465,473,072,429,074,576,501,868,264,
419,244,605,602,157,565,326,898,625,542,704,711,003,049,649,769,657,674,114,
676,147,915,208,385,751,743,551,254,139,143,776,749,038,040,032,213,026,184,
318,166,212,791,360,070,774,231,904,555,366,738,593,090,377,011,204,187,768,
303,512,676,530,810,152,068,575,188,061,927,733,725,937,748,475,240,243,315,
339,576,916,749,555,651,339,026,010,898,503,586,049,332,631,905,180,586,300,
427,506,246,665,799,741,798,743,595,953,802,626,926,189,250,008,553,699,774,
706,396,649,433,264,176,467,644,479,911,647,159,806,595,324,170,187,779,325,
922,737,230,920,618,656,852,193,493,910,621,729,752,538,792,014,112,527,960,
335,028,613,823,179,158,125,585,006,891,265,400,050,752,111,074,249,975,591,
275,800,226,196,575,829,385,736,845,975,116,664,363,853,429,700,282,540,583,
105,025,345,370,799,372,427,680,860,326,840,124,742,524,680,256,181,455,798,
443,104,818,579,405,933,532,306,755,463,416,850,768,549,094,190,211,512,867,
282,148,724,778,216,786,540,478,827,948,306,623,900,677,012,699,009,101,874,
787,284,558,613,373,559,148,400,356,985,096,297,860,719,384,030,853,869,377,
262,467,292,098,476,598,048,826,798,325,374,720,200,562,212,838,523,293,495,
011,748,657,820,175,815,148,128,913,673,738,325,686,806,781,139,240,240,856,
009,512,619,560,338,839,195,479,072,341,016,935,479,700,959,053,142,309,176,
826,198,130,696,479,446,206,805,694,091,166,762,351,919,107,717,164,760,431,
226,313,245,675,482,461,549,486,570,848,013,121,358,852,264,653,462,038,084,
225,393,037,835,499,156,680,582,291,742,046,566,842,861,627,242,962,555,717,
926,254,386,633,908,966,473,312,564,557,479,251,577,190,584,054,823,117,980,
808,575,503,182,038,265,562,430,151,153,579,400,203,309,270,730,620,039,197,
865,485,872,295,106,887,093,711,089,229,853,411,198,069,457,853,595,323,648,
144,305,272,514,526,688,912,013,157,009,993,259,859,890,942,990,133,883,010,
769,499,559,506,683,856,931,992,868,116,149,306,214,895,404,851,386,919,032,
535,969,402,949,308,392,977,438,644,936,251,446,179,202,536,719,202,949,204,
702,836,712,596,022,165,592,684,568,762,136,777,977,892,120,277,315,365,920,
013,125,100,483,773,120,711,583,348,952,881,164,684,288,484,168,693,637,228,
518,665,323,688,286,442,065,619,408,869,472,752,675,670,595,158,454,449,049,
236,336,520,059,403,547,331,882,390,250,033,055,039,532,342,551,320,554,273,
061,523,311,841,069,540,557,985,656,402,047,875,325,536,902,091,562,980,293,
635,435,780,027,656,678,800,278,079,554,476,282,209,772,504,490,359,591,609,
397,426,301,033,388,537,638,965,664,426,710,964,313,257,736,002,101,678,804,
162,647,693,243,479,061,299,457,305,257,011,351,881,405,089,943,575,122,612,
888,078,082,742,843,295,461,408,989,830,615,870,297,781,912,889,221,440,887,
652,496,467,051,157,693,377,463,589,950,127,589,371,187,583,904,091,170,201,
646,809,212,105,160,008,702,506,692,809,097,618,827,896,831,072,016,536,013,
552,373,372,753,875,144,192,019,454,950,072,092,815,013,334,107,110,583,626,
618,723,051,956,960,009,613,468,273,293,815,491,465,898,913,909,736,741,613,
241,545,730,073,224,603,234,102,647,393,495,468,882,851,903,788,432,139,089,
489,660,422,356,346,844,533,023,425,614,078,124,682,334,517,021,601,461,859,
526,812,471,795,445,004,232,395,544,189,114,052,850,126,868,199,961,361,273,
524,793,407,664,391,127,477,959,183,855,983,562,971,420,834,527,957,726,962,
448,126,895,341,342,836,543,403,683,921,281,075,735,646,887,065,357,846,560,
983,803,588,156,136,907,155,951,670,131,633,972,770,251,114,930,823,686,561,
221,803,398,695,510,362,421,929,398,732,441,562,636,579,995,141,678,449,101,
538,997,125,282,791,828,415,356,790,370,685,917,652,993,016,538,107,604,596,
338,689,928,731,414,299,595,361,423,779,394,018,541,746,130,571,885,155,789,
056,761,432,588,903,520,489,519,534,937,410,296,366,431,760,945,988,819,129,
910,233,893,285,292,056,737,195,006,381,981,511,493,997,093,056,613,216,054,
821,111,297,596,909,335,871,167,400,147,274,567,016,950,395,669,258,892,024,
761,896,806,359,832,393,091,146,393,354,738,255,753,632,962,427,886,730,920,
946,730,342,404,247,764,003,976,084,700,274,742,692,809,630,064,828,250,136,
792,737,023,996,751,494,976,012,040,523,999,059,454,349,660,188,639,487,480,
544,693,989,082,488,154,777,016,547,477,467,060,533,533,288,592,726,888,330,
604,754,819,966,317,600,442,731,745,031,395,551,454,266,133,738,307,200,967,
923,481,993,457,807,751,152,254,312,559,824,588,321,997,544,740,439,876,892,
600,248,530,412,942,848,317,364,103,446,023,711,847,316,921,677,970,583,430,
242,239,414,452,491,314,806,217,098,716,831,319,784,656,743,904,466,077,747,
838,966,608,685,950,763,013,636,119,884,536,785,270,999,112,313,718,740,985,
009,427,699,876,305,227,377,836,086,353,669,491,640,078,356,240,265,369,318,
585,366,542,688,449,785,476,201,864,955,846,740,010,463,263,673,132,524,488,
053,614,913,986,882,732,967,732,847,198,322,007,850,617,863,174,438,468,305,
534,973,621,246,635,873,552,626,160,344,051,411,521,354,607,754,459,619,176,
982,760,846,730,634,678,941,028,785,052,574,669,061,734,145,104,080,743,294,
780,424,650,331,278,588,875,593,669,551,247,463,562,013,588,801,688,661,602,
112,729,706,051,929,939,360,939,720,660,834,847,950,700,720,485,802,580,244,
498,544,783,990,304,104,158,026,697,369,722,798,647,945,849,698,300,359,589,
862,542,195,341,087,345,009,798,559,362,363,203,386,173,995,830,296,966,825,
061,163,751,828,880,030,339,396,845,892,181,524,171,492,327,243,473,456,777,
461,018,405,471,978,614,136,118,893,308,641,281,188,107,210,802,505,691,745,
607,414,118,176,492,427,595,968,459,736,591,417,977,375,653,046,520,524,428,
600,583,591,711,627,034,164,245,561,567,099,737,594,569,455,074,075,831,126,
061,075,740,423,515,875,917,769,498,475,172,359,229,758,376,562,741,568,398,
916,902,302,532,298,133,156,274,152,664,449,177,662,979,924,040,304,330,353,
404,652,290,095,880,726,212,844,692,499,315,833,921,164,714,981,132,771,257,
827,033,415,436,104,250,416,917,983,609,106,811,784,797,989,519,899,826,602,
036,905,973,036,409,228,517,583,470,331,330,155,077,409,650,847,864,906,343,
313,665,630,738,893,871,423,240,939,523,188,189,124,897,498,325,292,660,148,
477,860,018,032,535,115,666,954,939,768,097,882,138,705,126,257,312,468,798,
179,230,082,049,440,018,515,402,958,056,150,697,632,332,172,792,473,671,900,
774,584,876,689,420,122,329,538,662,913,000,272,548,793,751,469,761,502,503,
677,282,833,017,740,721,648,394,094,996,430,024,297,878,760,726,558,673,864,
175,109,099,083,907,508,057,901,792,670,488,356,217,360,389,261,711,591,565,
872,917,969,700,105,350,223,058,596,144,135,035,084,888,371,337,662,677,066,
110,595,666,953,510,006,063,945,816,065,786,857,820,351,789,678,429,518,151,
347,376,108,816,645,621,987,951,558,214,271,132,904,596,160,950,026,277,386,
494,178,454,920,993,125,146,480,361,434,189,968,375,076,798,678,643,545,303,
030,870,413,869,901,276,648,135,065,460,241,799,889,223,372,786,519,036,663,
594,190,500,036,173,638,265,953,619,988,262,554,615,357,190,226,861,182,569,
303,072,813,166,886,687,702,711,282,758,372,424,726,692,358,658,959,943,769,
345,162,847,485,504,861,321,300,255,323,448,340,200,721,398,226,059,399,961,
698,708,554,134,261,232,945,031,189,861,023,479,701,382,138,837,919,887,409,
076,628,619,273,801,936,085,044,515,764,411,166,121,538,749,911,876,061,875,
797,840,168,329,571,867,922,862,921,117,267,696,185,164,199,622,208,315,850,
213,425,635,184,987,568,778,849,037,851,459,586,822,789,545,173,326,373,628,
372,449,325,124,730,943,849,399,939,878,762,885,011,134,905,795,158,724,662,
177,160,435,943,690,041,902,679,597,965,983,213,444,554,418,501,333,301,006,
196,229,860,596,776,342,131,753,025,495,533,580,481,645,634,488,900,699,798,
886,466,386,615,522,069,635,113,282,406,899,469,711,822,288,188,903,113,629,
174,269,179,600,990,871,661,396,037,092,317,061,424,570,840,797,824,289,574,
325,602,713,602,346,541,621,875,866,059,001,653,648,346,148,311,329,863,076,
594,475,004,418,947,970,745,727,169,148,469,397,815,242,565,521,665,216,998,
979,770,274,886,353,144,355,707,892,051,040,754,566,791,769,618,789,520,688,
463,265,640,614,845,394,303,275,777,370,933,385,911,878,726,021,478,583,290,
769,746,496,622,813,716,484,810,273,369,129,558,585,388,369,820,247,802,195,
404,231,365,786,985,407,291,206,498,801,590,392,335,207,687,380,070,870,600,
658,399,460,450,750,550,404,151,880,861,794,381,523,382,986,288,109,053,121,
499,926,805,905,526,982,281,186,599,482,934,020,266,924,248,920,479,579,517,
065,687,772,527,690,204,231,180,233,133,496,497,481,492,044,901,883,307,608,
422,468,794,673,953,942,509,177,412,035,540,027,576,763,777,015,135,710,503,
681,662,398,516,400,825,653,115,685,995,619,316,923,827,288,196,202,258,090,
407,431,808,332,223,960,957,164,680,201,158,527,792,162,438,466,209,010,212,
339,063,630,819,828,690,157,828,655,448,328,348,200,976,615,802,181,252,229,
882,056,244,328,980,900,686,641,356,964,480,166,825,254,200,636,706,587,581,
460,760,631,834,288,963,354,942,461,927,339,235,195,346,742,737,740,020,980,
558,931,908,519,137,239,691,048,507,368,203,576,029,938,289,024,223,141,988,
617,736,000,150,772,595,820,746,116,211,964,056,145,959,031,870,299,914,192,
456,074,829,221,560,965,359,643,438,131,329,016,486,666,203,797,004,152,694,
327,204,668,156,833,278,170,552,183,339,903,638,210,562,448,655,299,532,316,
652,335,204,559,662,666,368,141,618,275,560,754,436,002,358,652,134,036,732,
878,902,467,884,272,214,918,537,129,027,283,798,562,426,158,761,669,851,853,
003,107,829,585,674,754,670,527,083,189,512,225,890,001,668,798,446,907,268,
923,819,365,314,383,735,451,908,059,135,120,416,774,809,048,514,063,202,406,
794,286,896,010,438,636,752,572,957,771,082,470,856,468,259,486,435,870,249,
874,223,240,127,571,809,999,317,296,722,584,054,485,139,616,687,376,435,273,
476,394,704,477,066,774,796,427,156,980,311,062,555,388,184,840,708,448,976,
176,662,075,207,652,255,028,824,571,385,930,439,563,487,293,610,629,488,035,
141,558,412,149,731,284,941,920,151,453,799,944,395,587,683,345,107,716,505,
096,814,839,720,229,484,451,610,884,839,040,827,468,787,243,186,788,085,616,
884,169,010,683,682,893,999,736,610,850,199,617,420,354,288,812,245,753,614,
974,555,758,984,663,997,521,516,523,953,630,505,861,722,797,316,062,072,515,
215,280,722,985,059,131,645,886,910,891,876,097,377,831,145,824,995,538,745,
249,326,990,498,625,715,810,790,644,412,329,615,249,193,393,516,382,948,087,
051,858,599,401,448,230,332,877,660,293,976,450,784,872,592,962,477,928,173,
829,450,096,221,313,279,796,865,457,363,679,048,600,323,193,444,602,398,025,
864,447,613,693,683,416,312,264,664,241,520,620,626,738,668,554,849,346,386,
460,776,135,008,741,979,191,439,434,736,654,117,898,045,731,998,537,585,814,
918,179,370,116,234,038,977,778,225,500,600,554,432,163,478,589,368,571,032,
564,656,421,998,496,806,900,493,265,114,392,371,643,887,568,507,483,103,136,
348,531,083,608,205,357,324,010,823,195,020,513,474,985,557,817,655,088,888,
747,326,641,386,324,174,201,171,213,512,914,169,070,469,187,151,788,708,925,
028,502,472,199,588,288,130,918,160,105,381,593,613,362,696,726,076,860,229,
514,064,779,678,685,019,096,782,809,158,433,920,149,931,491,423,288,994,502,
821,217,703,767,390,898,032,319,990,871,437,186,950,478,443,700,940,331,115,
284,030,899,497,395,398,193,807,496,693,121,067,115,647,329,149,038,748,461,
646,897,827,252,834,431,722,367,500,185,718,485,402,605,671,023,905,072,952,
146,434,864,494,351,226,222,084,804,968,322,943,977,235,961,541,563,814,852,
635,295,883,609,026,614,433,273,466,525,620,933,981,386,106,069,074,304,505,
965,712,646,432,638,061,753,098,819,531,186,215,359,568,751,328,736,843,657,
697,751,270,320,789,766,565,993,107,214,450,100,951,466,529,641,940,150,934,
982,400,542,387,623,425,829,756,264,359,923,686,707,465,626,633,814,674,102,
463,319,647,363,078,882,718,608,187,738,938,341,622,602,817,714,541,960,129,
098,005,297,183,716,521,205,732,284,320,605,919,896,526,766,471,406,515,374,
021,561,540,463,988,242,030,614,702,080,382,439,575,063,636,230,186,940,476,
111,401,086,957,539,574,267,910,495,585,608,857,212,843,168,178,549,354,542,
534,508,373,013,892,683,460,618,822,757,527,011,681,021,339,301,987,087,904,
270,810,618,542,900,857,599,602,984,985,536,542,028,038,761,952,632,298,587,
358,992,478,902,646,489,025,392,156,798,917,770,807,867,292,931,319,249,484,
650,489,155,086,473,711,416,641,313,007,261,328,236,974,657,348,516,660,312,
116,712,314,495,543,220,791,288,788,933,034,965,944,035,878,438,465,401,607,
141,927,607,735,522,769,012,202,718,756,268,107,623,946,261,725,869,553,935,
358,888,358,084,322,338,644,136,374,995,922,833,008,838,200,814,827,369,289,
040,965,170,929,204,638,363,308,515,346,046,871,009,279,636,162,591,956,471,
068,001,755,696,326,777,851,412,272,976,561,811,466,541,227,510,149,717,929,
349,337,994,572,211,985,503,113,487,748,848,333,619,520,724,600,218,351,982,
744,577,909,831,619,501,036,562,829,527,455,877,383,207,274,301,699,171,231,
707,432,251,183,057,716,822,378,282,811,358,537,196,021,569,211,730,178,136,
788,075,966,196,009,149,574,843,526,337,757,519,380,594,904,513,554,617,016,
486,820,208,390,030,984,297,399,177,657,580,012,885,778,420,298,289,472,222,
894,103,290,430,040,862,122,329,505,921,262,875,873,097,270,146,943,704,905,
624,540,880,768,247,509,147,589,231,297,636,217,904,259,153,197,417,170,646,
215,076,696,759,146,006,400,998,578,650,391,562,268,538,950,716,705,041,790,
658,913,050,290,901,562,222,660,315,393,774,010,066,342,369,937,820,034,232,
473,858,265,831,558,494,153,193,771,530,220,112,338,472,491,561,046,516,583,
212,699,459,957,564,680,036,715,791,689,894,488,424,812,205,052,608,958,622,
761,399,544,761,682,403,499,904,194,918,013,194,080,333,312,986,365,052,036,
768,021,270,033,181,285,601,468,337,332,739,356,792,401,513,884,383,935,793,
776,267,775,699,053,734,711,092,317,838,609,712,020,057,244,505,114,106,456,
264,142,203,851,577,982,751,963,755,996,918,833,329,593,697,035,801,489,604,
959,440,323,415,351,247,114,827,678,462,699,154,567,309,001,772,732,685,321,
760,410,817,905,847,441,305,902,477,979,354,731,263,055,664,465,972,532,176,
953,128,402,815,853,722,109,506,808,765,342,366,472,089,926,951,047,334,967,
195,585,477,618,675,514,305,905,772,838,498,218,267,537,814,973,847,348,951,
567,386,633,601,519,639,401,085,642,999,893,274,903,440,011,261,064,388,643,
948,828,466,776,516,546,900,249,657,332,694,027,508,551,422,782,097,669,533,
908,527,903,902,999,259,717,142,612,478,038,591,974,249,018,154,713,345,315,
844,564,856,135,346,744,652,487,788,809,868,316,643,694,820,056,394,738,198,
320,973,542,816,502,450,117,090,831,849,594,648,599,717,967,613,171,102,976,
998,941,592,867,940,051,607,004,399,690,703,901,617,033,927,765,490,837,387,
252,894,578,036,376,036,681,124,082,504,483,995,149,472,013,020,684,849,313,
227,882,033,690,262,270,559,508,578,074,004,295,676,123,580,267,250,328,396,
417,239,985,965,895,172,579,283,463,507,480,586,255,651,443,832,525,914,383,
460,394,004,516,618,747,291,815,989,011,866,632,497,703,756,774,493,031,559,
079,237,656,817,958,575,367,769,413,579,749,435,502,933,719,691,858,663,067,
669,458,234,304,263,024,164,991,877,106,474,431,926,326,803,284,896,932,938,
190,143,207,311,215,442,891,869,415,295,624,400,720,430,188,738,300,825,796,
739,381,905,514,980,049,489,042,349,853,088,812,640,583,023,590,493,049,717,
252,501,753,882,903,640,736,614,213,401,606,854,708,508,623,457,252,595,601,
927,008,814,449,639,962,688,416,210,110,861,052,306,491,843,213,557,285,731,
108,927,929,673,735,171,790,093,163,139,108,238,969,750,103,940,609,820,407,
959,791,627,270,624,605,631,238,104,380,525,821,038,394,992,366,267,180,586,
161,774,438,207,501,322,194,315,611,538,460,224,637,049,919,644,396,466,983,
392,340,290,035,786,892,774,463,942,257,477,252,327,259,599,378,965,183,293,
418,497,322,795,271,567,390,113,209,471,838,127,524,153,757,487,414,863,836,
774,980,824,582,158,244,473,518,865,837,476,926,628,191,719,918,954,352,588,
516,704,616,294,136,362,547,278,145,623,945,624,120,868,150,445,913,987,457,
924,148,535,923,060,731,289,788,545,995,819,447,476,745,396,875,872,537,699,
514,700,873,934,541,757,021,856,643,629,501,754,621,911,599,344,808,114,346,
333,588,867,463,900,809,838,252,975,084,523,474,194,278,004,533,916,457,198,
102,355,423,819,672,858,892,471,466,576,228,617,096,102,533,600,578,978,472,
346,107,948,021,783,261,379,998,049,518,071,896,149,917,214,402,780,935,494,
900,708,540,610,794,931,854,907,596,820,898,009,685,834,483,365,201,692,135,
914,683,256,144,146,497,289,986,416,734,960,584,931,514,088,646,799,925,277,
616,410,126,010,134,470,855,792,942,835,422,113,318,587,684,213,600,066,494,
077,249,330,450,798,339,595,007,375,775,132,969,131,664,046,868,107,561,725,
090,708,712,649,448,166,043,305,528,682,826,598,511,659,367,822,202,057,143,
432,179,534,566,025,729,615,681,783,800,018,991,660,224,459,294,710,221,402,
975,423,124,741,413,893,658,417,190,285,745,020,426,106,760,406,111,064,860,
056,232,356,501,628,815,100,064,588,401,731,874,759,573,803,964,842,189,897,
215,416,698,623,827,420,002,561,417,301,680,289,009,781,341,629,217,912,060,
626,649,307,160,911,523,214,768,289,609,207,710,756,303,714,199,421,335,373,
569,430,818,644,447,981,262,254,617,714,388,478,350,844,446,804,102,353,914,
840,037,062,162,790,718,466,346,676,150,186,439,260,216,779,906,992,530,638,
743,881,496,455,616,920,694,691,815,870,720,417,764,467,815,918,350,375,213,
788,445,926,102,288,524,943,901,682,935,334,876,297,474,905,450,150,867,667,
809,298,235,738,395,158,731,754,162,271,587,819,706,204,250,663,785,045,253,
218,164,197,694,274,136,916,648,913,401,389,872,739,079,261,528,025,982,279,
022,899,266,955,301,220,424,408,787,061,854,112,333,423,876,355,852,975,053,
959,423,039,494,747,439,274,187,449,358,155,477,702,482,442,764,933,188,851,
707,843,531,753,650,314,505,922,924,186,948,665,526,550,528,479,315,311,852,
858,097,549,149,417,352,606,022,644,538,252,033,493,026,033,385,187,014,173,
476,631,723,507,907,911,596,217,019,017,688,439,019,324,821,275,974,182,800,
592,723,787,919,077,433,979,179,517,860,663,184,260,059,591,034,130,999,276,
559,325,793,383,481,253,491,974,073,623,900,803,485,352,743,514,686,886,351,
733,232,681,155,347,992,954,666,663,264,903,022,643,237,938,261,060,536,580,
160,450,285,492,238,003,012,107,604,393,480,783,175,971,000,897,760,045,499,
794,156,604,836,096,781,074,343,529,658,036,967,027,025,650,688,337,588,072,
774,282,683,548,055,892,250,246,417,085,686,731,516,018,941,523,924,330,690,
857,106,842,183,726,297,234,402,794,735,872,967,675,916,247,181,629,594,029,
678,872,984,526,292,257,351,412,364,233,407,390,757,862,027,625,115,604,420,
150,657,344,298,401,340,973,588,005,449,892,595,982,692,526,460,504,323,965,
213,987,954,641,761,394,731,748,969,765,195,511,079,926,560,761,006,586,124,
668,452,723,186,424,014,161,873,100,011,443,141,209,709,306,951,181,805,653,
556,804,057,963,165,276,497,416,770,099,401,165,736,804,843,382,757,798,104,
465,100,739,715,625,123,304,198,958,775,705,149,710,355,086,895,335,550,945,
892,945,599,671,837,416,987,621,892,681,564,417,091,618,873,364,904,244,380,
712,701,593,588,094,405,225,215,208,202,005,962,955,790,670,205,317,400,191,
406,540,506,702,744,836,817,851,119,145,705,420,535,480,435,776,388,514,581,
365,513,029,552,633,665,380,368,520,781,500,690,986,475,704,424,191,907,660,
356,156,434,174,487,566,728,264,421,495,442,649,269,309,041,368,927,386,212,
075,333,811,042,579,622,628,495,557,724,415,702,535,607,330,922,484,914,252,
513,830,587,993,427,823,800,938,153,162,564,340,586,952,423,849,129,308,094,
486,275,594,283,622,930,312,168,486,096,194,953,957,879,509,271,171,208,449,
981,988,415,401,224,206,645,017,544,241,583,497,552,246,460,342,461,103,540,
361,941,868,572,097,602,325,911,984,471,917,110,000,569,229,735,647,516,010,
623,742,488,810,757,156,107,448,461,575,958,101,828,962,247,870,719,201,200,
721,127,698,031,996,361,006,293,366,797,848,483,499,625,685,696,898,615,791,
073,895,010,320,336,892,018,305,809,987,494,845,737,709,832,512,346,366,042,
396,605,291,239,046,522,070,917,271,482,654,048,871,543,272,949,421,062,304,
846,162,042,205,047,516,641,335,893,854,237,508,283,688,728,271,318,120,012,
640,712,735,200,683,476,166,624,858,086,208,599,925,566,133,992,873,446,296,
471,818,453,521,317,932,018,099,940,878,477,924,962,052,743,331,975,536,759,
285,611,146,623,676,907,687,810,269,147,644,920,014,847,229,757,431,867,848,
677,709,197,153,330,806,390,595,710,687,655,286,669,785,811,848,902,811,297,
717,289,404,412,830,729,745,405,354,005,918,624,920,831,487,750,794,070,746,
236,281,313,573,530,192,165,816,380,297,148,960,979,210,333,056,628,144,125,
916,626,957,985,224,943,522,630,620,467,354,377,033,140,081,162,286,807,988,
325,077,592,797,917,029,990,761,663,844,729,895,430,838,947,710,616,676,253,
185,716,600,859,738,665,153,928,233,863,952,867,883,315,829,715,344,894,304,
459,412,634,601,138,543,462,438,027,655,369,402,442,514,399,260,150,856,950,
113,962,678,684,246,626,723,053,177,701,923,885,772,699,784,460,466,819,911,
558,550,211,599,073,191,175,630,735,539,965,480,685,936,179,352,038,566,082,
191,577,765,457,007,989,117,878,236,993,770,029,696,562,115,623,592,721,034,
865,791,593,104,663,323,284,413,896,282,075,855,345,002,626,135,560,889,459,
214,706,216,109,638,109,570,583,837,954,277,754,173,305,030,442,460,133,063,
013,711,222,111,502,846,967,545,344,301,183,591,421,856,910,109,493,256,375,
954,149,910,800,013,047,642,551,950,757,109,645,636,136,009,027,177,497,125,
611,745,291,441,703,013,871,337,978,013,911,505,198,403,560,548,490,736,206,
839,521,800,622,941,783,898,492,394,935,052,706,547,280,146,408,155,240,810,
373,403,547,787,951,232,483,068,061,714,496,641,383,184,432,237,213,496,753,
513,030,920,633,011,999,991,301,452,316,512,913,898,950,793,113,532,060,498,
165,160,606,609,702,938,876,965,701,058,916,562,089,985,568,423,027,113,310,
174,696,209,112,230,576,512,229,115,794,149,646,095,110,729,538,832,327,327,
278,594,652,571,288,477,506,387,490,771,770,095,156,738,375,537,372,471,608,
636,099,647,123,024,176,676,870,118,549,356,931,051,710,265,522,655,624,602,
487,666,101,228,447,674,592,222,830,333,779,625,338,593,627,655,302,641,579,
886,856,201,227,713,528,535,907,582,275,083,219,866,465,448,222,116,510,652,
457,516,617,470,167,994,838,694,970,332,565,947,348,086,657,954,397,187,506,
300,879,906,269,108,874,517,287,010,294,499,794,960,636,039,871,435,103,737,
616,679,409,976,323,979,929,016,902,755,796,838,909,738,770,772,699,323,744,
934,167,993,671,965,159,713,086,959,600,600,708,223,900,235,294,208,552,494,
629,974,888,490,964,806,856,334,824,446,581,827,275,471,081,326,974,479,009,
617,934,223,486,048,057,533,925,260,068,617,034,990,997,610,757,212,637,277,
171,578,113,585,883,927,342,074,402,860,862,771,066,471,104,779,385,819,463,
538,166,686,816,926,817,225,339,519,955,275,936,449,053,202,261,982,532,159,
177,161,994,579,119,374,487,561,909,818,337,885,262,356,213,158,775,161,358,
587,225,924,842,838,359,732,474,439,165,716,484,162,960,699,500,532,236,522,
772,705,184,293,649,236,330,118,302,927,418,515,089,776,609,950,549,151,313,
711,075,554,878,523,186,863,276,051,634,949,546,760,017,401,819,815,963,636,
151,182,110,625,784,008,334,809,047,010,002,648,246,510,993,940,795,891,878,
650,677,399,219,507,379,282,878,755,084,419,105,805,819,067,077,334,285,663,
962,865,344,886,870,163,585,464,220,437,776,496,662,002,191,443,746,107,769,
617,018,794,827,835,807,076,572,033,004,281,838,017,065,656,353,482,675,892,
502,997,226,205,029,077,946,771,571,467,882,559,262,738,207,232,978,665,289,
058,253,429,462,209,256,621,449,481,796,176,458,946,987,726,790,202,754,352,
264,868,551,430,715,105,633,855,416,766,348,131,501,019,509,812,764,867,789,
825,561,310,458,800,540,827,117,341,057,605,032,463,719,990,948,677,301,829,
839,307,458,748,090,036,115,702,910,644,276,015,038,339,280,439,103,964,206,
386,710,177,037,770,888,070,423,276,237,994,227,291,167,726,841,028,698,104,
381,056,549,800,218,559,295,075,919,302,318,129,062,082,882,691,396,501,186,
253,610,792,015,012,207,950,149,617,970,428,727,259,745,941,679,684,842,246,
605,312,938,601,209,124,182,452,064,790,344,496,006,468,064,339,744,871,568,
141,201,275,392,739,837,219,168,110,783,150,311,312,267,862,183,391,042,989,
922,490,686,660,109,855,973,944,128,723,408,995,826,439,143,225,256,550,014,
875,183,972,828,345,664,415,835,536,555,769,893,215,195,208,085,899,433,987,
807,236,175,406,676,754,446,215,362,219,044,512,689,922,790,477,383,430,712,
262,693,680,940,462,254,610,963,444,928,186,460,200,885,633,694,590,441,627,
699,751,576,792,524,692,752,758,942,547,266,428,577,908,595,536,003,955,550,
381,716,594,520,297,632,517,520,256,486,464,621,045,700,079,260,495,127,083,
678,125,081,223,248,009,567,985,053,346,475,636,425,783,298,060,382,852,244,
080,185,287,455,776,958,667,878,612,415,748,825,002,038,796,962,160,082,296,
704,903,602,987,360,166,202,819,572,876,622,508,863,538,673,748,566,716,760,
684,933,898,351,354,950,099,169,828,710,292,004,722,368,672,563,231,334,683,
778,365,081,642,833,449,555,098,019,072,621,778,285,732,959,801,461,540,881,
705,551,319,609,612,119,374,391,820,787,982,407,674,569,497,087,122,592,359,
954,561,475,584,862,622,649,789,004,356,139,800,701,031,124,630,193,793,292,
319,108,704,470,583,909,026,090,011,947,947,543,040,853,638,842,049,274,500,
404,192,690,572,684,292,261,745,122,470,769,908,915,622,048,793,653,927,995,
706,195,901,526,222,547,352,935,858,764,721,717,504,931,691,183,338,857,222,
856,031,880,636,181,427,435,112,547,246,648,520,929,178,324,488,564,455,452,
405,923,021,328,480,711,943,982,785,760,130,930,465,858,979,641,379,358,051,
501,411,253,608,853,813,211,456,936,403,564,907,601,370,471,393,556,896,745,
860,817,741,672,397,298,923,014,776,650,467,605,337,979,401,524,735,842,347,
029,048,839,151,332,506,709,692,228,586,012,510,990,437,681,231,612,582,167,
605,160,218,046,915,292,536,817,042,389,007,920,641,061,002,460,893,481,969,
341,543,437,321,308,047,930,270,382,946,925,878,581,536,176,092,866,958,580,
569,546,587,104,106,042,104,807,689,656,521,222,700,258,338,376,264,575,528,
908,295,702,629,306,912,286,066,969,412,212,202,060,837,097,450,226,722,561,
521,999,765,339,331,645,760,116,179,206,923,329,529,804,100,683,141,418,446,
921,273,867,707,146,992,572,737,886,450,451,386,182,673,869,953,325,216,416,
360,192,985,204,737,838,975,161,299,030,785,322,422,999,789,480,751,500,179,
430,604,111,608,907,838,750,186,814,512,878,636,545,364,337,752,752,660,140,
086,989,766,428,156,040,500,153,718,982,615,190,262,703,240,887,441,843,017,
841,344,760,631,108,560,897,777,238,410,532,792,892,970,571,207,486,570,683,
802,798,507,403,113,451,550,481,810,361,329,994,162,455,219,191,650,539,585,
749,968,613,212,624,054,347,696,015,029,601,534,242,122,921,284,745,749,265,
725,718,874,181,037,370,443,430,493,339,282,603,242,387,949,849,235,424,102,
546,746,335,697,031,232,172,038,467,491,118,680,202,837,763,984,700,068,541,
960,309,829,611,437,263,259,917,027,143,523,052,501,326,542,284,235,984,959,
382,553,687,854,446,166,822,545,548,024,385,255,366,619,885,187,363,973,970,
890,029,829,174,813,605,335,147,186,023,985,375,233,778,356,636,832,255,691,
189,267,102,221,170,969,420,734,562,618,741,125,003,433,059,047,687,057,035,
736,685,177,639,513,263,242,648,079,164,881,363,867,709,217,440,028,630,658,
341,982,433,878,607,181,979,148,343,056,018,823,070,518,139,090,705,795,283,
948,735,747,185,153,807,123,276,580,640,081,976,118,415,894,782,330,038,831,
759,696,200,355,434,883,001,100,696,441,812,423,588,683,010,885,620,134,258,
453,757,932,662,853,258,251,553,911,373,072,592,839,708,740,941,460,202,644,
902,839,059,889,711,287,831,488,051,526,283,491,446,595,875,611,947,822,197,
722,538,278,871,543,455,222,902,751,226,909,643,267,714,848,744,984,685,977,
103,061,055,670,064,621,825,661,272,839,996,441,433,315,068,903,885,584,493,
868,937,802,572,778,918,277,266,667,051,203,216,379,389,268,600,863,734,261,
220,076,710,625,143,348,659,938,033,942,651,092,438,419,307,546,179,109,694,
479,015,001,709,453,791,803,948,317,998,546,673,775,933,937,710,234,084,793,
930,404,798,332,039,391,918,676,509,255,013,930,344,276,238,801,725,962,608,
944,972,475,267,371,336,609,606,689,656,976,037,904,546,563,882,862,716,526,
484,857,060,186,256,199,044,840,650,912,612,080,214,128,632,585,497,061,311,
750,792,662,714,837,114,668,728,101,826,882,874,333,400,936,033,294,032,802,
172,571,040,363,503,554,766,856,934,080,826,665,394,134,979,391,042,536,314,
932,215,857,916,677,412,646,767,083,197,405,721,639,973,967,764,548,898,189,
975,740,258,326,069,063,884,946,843,044,222,476,110,743,034,397,494,928,866,
892,299,706,519,778,523,649,702,274,091,221,998,276,160,264,756,918,732,503,
504,469,847,904,763,578,991,853,772,939,981,612,099,323,517,629,447,384,474,
089,408,013,962,873,007,472,840,836,672,392,351,394,678,740,141,139,105,292,
014,036,753,090,059,647,130,453,870,860,261,189,309,443,725,784,325,405,623,
322,864,950,905,704,833,370,349,550,946,856,010,741,390,140,970,935,993,055,
405,811,599,990,910,420,954,782,879,080,673,539,448,007,613,861,855,816,066,
619,791,922,910,907,562,467,835,811,622,020,194,258,642,162,153,366,396,225,
648,550,248,055,264,060,589,479,033,955,299,877,658,047,163,990,549,376,356,
422,038,344,881,439,383,169,345,069,387,009,036,851,631,494,845,509,299,123,
244,884,056,195,589,001,501,099,542,906,627,029,587,812,040,992,103,493,234,
128,476,550,490,808,892,515,897,876,904,901,296,319,886,293,192,008,435,871,
331,222,159,426,874,453,196,461,416,330,005,862,338,400,195,358,123,465,000,
540,222,185,803,694,100,769,577,869,147,877,532,836,544,905,649,133,028,399,
973,584,548,514,701,986,729,108,636,240,593,402,542,688,607,257,867,771,128,
064,481,836,425,805,236,047,510,626,602,822,065,051,115,149,509,188,102,292,
523,009,672,999,008,022,230,576,062,031,946,920,100,645,923,205,940,325,118,
157,305,385,115,734,466,583,678,407,222,803,416,431,942,926,363,263,388,491,
333,649,959,024,768,097,469,056,115,184,055,324,015,434,126,190,216,784,766,
430,669,605,633,118,547,549,094,283,456,851,933,271,497,100,103,733,750,942,
150,887,135,451,395,253,570,989,346,906,538,247,404,036,636,140,475,351,963,
864,521,090,751,314,452,876,618,510,840,821,535,129,274,445,880,524,243,910,
719,957,296,358,174,421,313,156,872,307,758,019,086,409,531,025,203,067,792,
969,215,217,081,034,375,924,092,220,423,167,110,936,440,413,735,274,279,618,
997,814,271,496,165,658,950,259,777,583,972,030,889,036,301,452,268,076,316,
982,671,906,408,223,422,414,716,461,973,070,939,923,323,171,902,807,355,375,
017,745,441,239,760,841,303,064,904,739,021,349,958,270,814,669,703,519,421,
651,410,200,364,471,465,126,051,780,845,873,919,052,399,644,583,694,774,428,
608,024,719,429,028,924,590,684,206,595,175,476,781,434,254,987,508,807,328,
028,629,402,769,611,291,937,350,855,383,066,728,998,498,597,619,706,058,899,
892,438,969,852,641,863,438,325,514,954,181,524,590,119,548,466,331,629,095,
291,855,640,977,470,115,208,324,461,419,319,188,747,091,639,382,598,660,667,
734,462,882,826,378,660,187,771,923,322,864,709,599,713,811,998,323,088,408,
877,888,845,396,267,357,416,437,110,200,001,235,374,616,548,571,807,578,403,
782,196,952,202,276,273,150,658,686,691,528,196,109,464,658,029,067,052,081,
497,588,196,315,648,292,120,998,332,075,912,914,882,626,757,068,042,394,857,
908,466,543,028,947,089,689,886,244,897,132,171,485,195,199,641,347,708,171,
428,369,097,292,771,655,666,867,192,520,581,539,255,061,995,328,732,988,023,
354,057,204,307,354,849,274,198,848,733,818,602,130,962,099,813,494,901,595,
633,756,681,025,577,410,283,910,981,402,104,151,496,601,939,393,713,831,631,
327,224,717,262,963,934,097,624,761,634,451,007,398,081,337,078,381,660,483,
845,844,862,158,316,064,914,489,017,058,139,705,558,412,572,343,740,089,020,
250,711,231,864,854,727,441,753,990,046,626,394,831,102,795,705,464,901,987,
364,952,566,712,479,636,651,508,968,891,089,576,100,935,751,958,676,023,392,
561,098,112,149,842,441,276,980,805,982,319,638,689,708,130,789,984,667,188,
805,541,703,532,874,210,010,355,801,304,262,373,045,601,945,837,542,621,586,
532,735,179,628,154,647,366,473,201,713,135,487,311,001,766,882,406,332,889,
681,788,691,142,591,842,704,758,069,375,761,630,052,390,314,270,519,797,121,
959,462,873,082,321,893,647,996,946,595,072,380,600,381,252,927,400,397,228,
568,018,357,688,751,553,507,082,158,975,206,895,548,190,080,273,635,126,809,
266,037,558,208,313,069,673,812,711,042,414,632,859,846,187,792,843,901,614,
050,529,957,187,859,537,358,578,439,224,468,417,242,791,251,611,543,658,832,
172,852,684,130,152,076,038,535,448,491,064,476,056,417,101,371,210,300,209,
087,555,414,022,189,817,724,477,092,306,821,855,584,378,732,933,371,198,154,
012,694,342,855,683,168,792,069,466,011,590,238,472,102,168,335,871,756,620,
957,930,686,881,806,587,243,816,559,130,822,641,642,490,906,463,799,121,153,
267,489,562,588,471,586,756,921,818,211,843,574,298,274,366,966,284,952,466,
220,383,602,618,222,300,113,344,909,004,326,559,169,055,225,413,532,151,038,
387,789,455,171,574,484,984,445,625,124,743,610,968,310,056,473,451,221,836,
735,021,134,624,274,302,194,613,306,925,646,336,254,229,677,021,478,236,845,
486,667,251,697,553,456,169,376,399,784,302,691,777,933,535,302,810,932,050,
280,845,016,246,114,195,227,086,388,715,054,107,399,546,187,655,911,717,940,
740,549,710,951,787,583,910,739,685,416,578,868,237,294,083,598,397,945,809,
886,312,155,587,073,149,089,842,673,714,829,342,008,258,152,912,504,855,732,
856,518,851,420,676,802,696,449,593,631,130,027,496,327,099,037,954,323,151,
641,078,192,138,522,739,761,556,885,758,428,110,255,115,205,462,184,763,292,
619,855,347,163,416,443,496,668,916,355,729,657,194,267,668,722,725,058,973,
551,083,546,020,067,903,275,938,832,587,909,074,542,365,517,134,269,844,724,
896,815,272,477,914,608,540,069,970,384,492,318,798,827,485,323,642,278,913,
854,055,986,880,703,860,664,060,459,271,397,778,361,567,672,955,430,703,093,
124,929,917,524,387,889,887,588,862,668,349,822,435,202,623,301,700,155,718,
318,510,854,168,431,238,495,436,504,419,370,608,890,671,553,237,881,487,034,
333,053,262,177,027,112,351,786,679,226,677,345,920,992,709,426,736,978,201,
616,402,927,519,892,579,849,328,912,981,862,011,069,448,133,102,226,946,135,
206,531,732,492,074,377,981,560,504,982,337,445,779,355,152,728,482,080,997,
378,949,325,528,800,311,559,981,062,475,852,636,323,556,246,744,099,626,729,
132,283,347,977,254,243,481,524,120,203,202,665,740,856,333,165,377,804,318,
821,993,825,399,178,971,620,655,990,848,939,613,789,194,892,768,262,929,062,
257,149,230,614,740,104,616,777,448,788,114,709,652,252,916,321,339,591,108,
313,041,053,843,845,970,674,853,531,111,617,099,641,661,303,959,604,891,445,
616,740,301,775,339,164,763,572,997,517,648,357,451,658,595,365,729,466,521,
103,636,324,298,550,535,565,863,741,109,389,269,502,656,655,843,506,354,908,
699,157,997,121,032,212,137,722,255,693,253,381,927,744,599,805,434,954,957,
654,703,389,459,876,104,277,471,001,235,408,485,645,982,891,358,550,846,237,
077,305,388,642,722,628,622,964,523,431,633,578,793,127,493,933,515,665,109,
549,857,247,743,313,042,222,558,970,494,851,539,492,039,270,964,962,150,107,
360,725,615,422,715,432,347,267,983,222,222,670,083,343,563,366,186,341,907,
811,296,129,533,211,870,162,576,123,694,122,960,269,337,778,261,818,410,683,
987,527,674,217,905,174,199,747,767,225,393,090,940,067,341,198,318,635,366,
017,662,590,329,090,545,732,364,298,240,597,445,188,098,495,461,878,910,635,
193,463,695,951,586,275,421,791,699,870,384,898,609,884,418,172,095,339,172,
313,108,601,861,801,014,798,631,287,436,202,997,417,159,122,618,887,164,992,
688,747,997,987,258,459,545,217,894,757,027,995,217,281,984,494,084,187,970,
183,467,239,553,442,866,417,632,318,143,949,981,561,182,422,023,595,469,977,
846,714,480,325,132,036,924,752,121,117,403,389,538,055,744,943,769,124,074,
906,403,262,510,894,727,304,345,286,083,806,247,266,713,135,580,966,581,896,
521,587,193,496,945,067,737,360,514,939,015,698,667,828,619,684,922,270,925,
603,735,418,968,923,581,844,848,627,390,783,921,468,962,824,819,766,093,960,
993,688,000,805,166,309,564,615,299,186,503,095,317,940,806,634,201,075,710,
594,481,386,791,116,982,775,361,070,462,629,194,225,859,843,584,782,748,778,
759,520,451,217,289,610,478,968,497,234,931,735,873,651,360,196,150,292,096,
277,906,768,250,258,231,526,808,996,274,846,888,540,213,549,223,354,435,541,
720,613,307,567,381,661,189,630,375,017,341,490,345,188,836,809,047,375,087,
612,124,146,031,844,112,211,043,503,650,283,420,984,231,594,002,708,408,112,
944,789,973,768,728,247,634,978,506,084,656,385,138,576,674,178,727,738,322,
718,169,386,601,645,902,423,892,929,387,748,200,177,365,099,496,136,736,218,
485,708,537,721,886,553,961,978,897,084,029,396,110,032,447,404,113,352,237,
389,961,949,724,035,209,815,180,373,645,777,966,604,894,472,842,067,155,563,
014,476,853,813,862,973,908,222,607,379,272,593,633,860,344,028,464,811,007,
654,736,279,414,407,321,208,778,110,609,455,666,083,842,874,584,924,350,315,
684,345,594,175,410,872,897,788,188,258,427,689,889,382,463,617,053,292,924,
088,478,083,238,805,420,628,462,094,850,312,822,567,829,116,240,909,015,765,
294,102,147,418,041,629,776,885,641,307,620,013,459,395,589,118,171,303,861,
547,261,163,704,296,844,011,916,842,944,676,742,047,520,810,594,046,952,525,
199,346,918,806,304,425,575,428,478,015,019,618,304,044,915,920,470,312,382,
220,704,375,424,286,336,252,065,697,898,154,615,802,309,187,041,867,806,494,
692,421,482,812,329,646,071,118,515,418,260,198,322,368,355,747,516,276,161,
235,993,757,638,725,212,065,251,641,253,320,408,438,601,076,176,130,760,094,
522,416,111,453,199,894,125,885,237,990,452,552,158,137,730,109,059,217,923,
570,256,543,194,306,869,099,081,141,641,130,772,192,414,967,182,169,064,794,
779,972,406,320,137,605,695,628,512,317,607,719,808,410,181,829,129,032,202,
032,165,816,992,273,683,001,661,681,974,893,503,156,709,024,762,091,517,848,
472,145,824,565,889,306,032,077,285,108,857,281,162,684,437,079,360,606,316,
734,658,083,073,370,583,349,329,608,463,140,892,295,303,453,039,313,093,385,
743,032,058,004,560,401,368,062,320,870,391,877,939,468,627,878,700,746,849,
903,357,249,709,051,979,181,656,426,836,254,446,567,955,389,734,751,994,194,
914,111,065,680,171,535,542,903,741,087,946,976,141,724,075,404,090,487,754,
230,317,440,541,543,606,429,717,463,134,486,430,563,800,609,708,853,583,833,
319,843,339,456,500,427,455,724,084,027,705,989,751,177,458,969,131,935,658,
535,040,032,873,872,513,092,907,670,498,978,305,661,262,626,570,055,324,700,
425,380,313,639,325,380,897,923,662,633,468,717,336,511,445,143,674,033,617,
494,580,204,478,517,558,314,097,455,410,509,311,504,166,266,272,693,703,414,
525,710,415,279,096,873,604,853,447,840,976,136,529,325,812,921,009,285,504,
555,201,645,922,610,188,539,814,854,411,919,505,881,817,765,388,234,590,869,
655,207,906,055,957,974,947,909,011,049,157,692,130,155,190,906,132,168,749,
417,901,410,111,939,671,264,288,321,146,998,704,858,299,205,583,921,587,926,
736,315,019,319,705,668,966,624,403,817,773,807,171,365,966,668,634,026,561,
911,891,660,790,910,755,165,111,940,102,105,526,977,971,540,408,396,441,920,
384,338,759,928,665,251,300,782,783,756,022,658,798,501,509,916,809,663,605,
534,314,010,206,383,152,846,600,996,676,240,464,524,149,696,161,633,520,484,
946,332,265,629,253,100,832,958,220,554,532,960,870,083,370,229,968,362,990,
049,432,385,414,822,419,551,204,900,061,908,894,671,988,456,606,400,562,569,
186,542,155,163,789,521,091,511,516,099,261,839,035,052,016,659,854,605,846,
806,509,319,598,769,662,027,311,460,349,211,544,754,075,972,217,197,271,984,
374,566,369,644,159,729,686,186,858,574,030,011,502,317,658,625,220,836,096,
301,206,273,018,552,713,883,169,778,976,193,395,267,853,906,998,335,807,161,
692,963,127,813,746,504,883,385,148,679,215,555,333,062,718,617,371,584,602,
953,044,967,381,094,412,958,870,974,313,158,940,824,995,118,350,307,465,036,
497,510,901,002,915,069,173,526,733,271,083,218,065,050,703,701,180,361,397,
638,047,116,916,399,623,136,597,418,538,250,684,021,785,176,023,422,547,351,
075,163,841,011,724,216,338,342,311,350,651,695,150,339,489,198,881,308,789,
114,402,229,900,303,812,968,243,519,349,788,774,984,252,555,589,419,992,339,
967,934,731,158,093,901,573,796,500,616,087,414,957,797,372,559,371,025,986,
231,453,744,638,013,452,421,940,348,545,517,184,869,943,629,270,153,416,843,
201,645,026,764,865,767,364,627,885,404,935,527,720,165,592,082,366,658,098,
414,681,875,767,188,631,451,998,594,175,062,268,699,962,492,026,264,113,902,
742,899,886,683,242,840,821,097,746,161,006,030,764,676,706,132,849,388,121,
946,370,993,976,482,910,686,062,478,165,903,299,011,956,374,891,266,175,363,
886,237,374,717,923,124,632,780,005,874,222,328,827,889,822,510,948,364,759,
372,878,942,189,013,886,836,523,890,500,057,088,398,706,914,840,146,677,768,
442,935,740,291,366,266,406,125,302,164,493,942,590,513,098,948,161,079,834,
184,406,568,334,014,450,902,719,966,640,759,907,865,755,296,618,714,893,214,
569,411,864,140,106,099,264,555,713,577,080,086,460,369,238,335,833,498,074,
093,795,498,880,332,726,881,902,536,351,020,130,677,644,383,782,621,980,787,
819,929,387,279,737,544,362,585,121,137,643,741,748,806,980,529,918,459,864,
377,485,092,721,665,550,483,126,980,682,537,524,175,913,950,916,750,709,530,
006,496,304,062,854,586,331,677,281,653,442,231,548,553,191,268,661,996,644,
453,478,237,140,665,069,238,196,595,514,556,331,848,480,882,918,043,793,258,
417,811,736,919,598,238,243,927,131,838,640,448,696,713,372,961,987,606,350,
369,508,780,352,395,180,011,988,125,732,793,075,669,617,454,677,630,162,001,
253,023,418,557,708,381,137,535,354,064,537,544,776,343,001,617,187,447,292,
817,607,102,481,561,568,855,509,488,488,178,479,172,534,494,840,096,387,552,
512,439,464,178,435,320,452,824,157,258,701,262,793,380,853,101,636,213,764,
397,457,378,909,853,988,197,074,347,824,881,127,441,543,122,674,004,053,186,
635,371,067,348,120,911,436,562,901,874,275,297,004,697,320,252,610,392,009,
611,739,400,445,507,665,487,113,898,370,009,898,964,235,518,425,855,767,648,
490,426,945,707,639,771,745,874,945,195,452,431,052,823,891,400,384,972,570,
676,193,064,076,685,260,160,946,467,611,374,556,801,545,931,175,118,202,118,
087,805,923,933,209,843,362,338,223,063,053,072,951,456,766,128,633,879,598,
992,884,497,432,656,083,612,405,638,043,914,198,007,593,480,873,595,274,228,
565,881,374,767,978,759,383,891,841,001,689,442,817,035,654,083,248,208,702,
900,759,341,636,877,958,057,308,796,678,185,041,295,599,479,465,280,500,072,
983,755,723,849,546,211,423,181,359,299,158,970,384,982,978,360,356,155,398,
911,842,602,276,316,674,342,035,400,632,712,355,408,129,908,645,989,528,888,
706,071,837,273,732,798,314,796,082,419,309,472,142,273,527,943,208,315,810,
102,921,916,461,289,574,740,876,093,046,475,488,516,630,609,156,780,798,659,
711,328,920,437,104,056,588,782,999,579,939,792,963,774,940,289,273,743,106,
684,808,030,136,199,376,588,077,951,149,531,286,555,116,644,764,906,971,195,
981,817,363,116,494,372,488,642,014,932,494,323,780,428,343,366,370,381,461,
798,476,459,173,746,566,975,885,424,501,413,093,157,834,252,356,359,151,150,
022,921,184,208,690,237,724,534,655,478,311,068,490,585,860,232,278,021,478,
969,844,729,406,471,675,530,828,195,894,703,765,855,850,066,386,177,257,797,
257,946,224,790,746,266,653,125,997,760,092,082,487,689,349,962,257,268,466,
270,282,450,778,533,409,119,590,171,788,891,596,601,866,338,573,454,898,500,
513,186,234,357,760,188,693,849,241,408,617,421,318,358,306,051,573,211,750,
592,957,158,717,923,095,307,853,373,827,128,759,801,296,285,138,394,194,108,
824,408,464,164,112,428,551,367,062,403,752,526,662,627,647,641,619,278,039,
132,860,573,907,128,558,981,748,962,780,364,451,246,397,956,023,630,185,230,
135,360,220,205,145,369,743,336,335,427,801,397,665,957,571,971,596,109,749,
151,833,539,074,983,448,428,657,988,974,549,997,163,611,716,162,663,052,604,
425,047,872,610,824,931,577,269,705,430,280,406,628,719,057,115,078,027,498,
975,241,265,139,706,049,019,291,656,106,868,923,117,014,388,032,502,595,418,
013,366,161,053,633,038,342,078,393,923,072,762,806,110,468,817,954,121,571,
506,078,955,879,873,068,126,019,807,380,515,425,101,878,160,357,861,982,948,
643,599,381,598,333,471,004,994,622,331,974,075,622,550,214,365,163,603,735,
320,358,856,749,898,814,292,873,797,570,331,393,029,226,292,458,342,402,604,
640,048,830,763,043,176,658,956,219,650,861,329,392,466,016,288,929,438,355,
654,695,032,378,137,431,889,115,912,574,288,867,463,586,107,676,096,200,193,
717,941,130,962,690,400,515,286,346,446,988,388,609,574,834,636,918,494,877,
739,842,915,535,227,164,354,245,717,293,371,698,466,903,404,557,123,406,785,
842,475,293,200,694,470,202,420,899,756,737,749,368,600,569,868,773,639,052,
864,561,836,225,867,000,551,489,916,667,561,584,388,692,943,594,069,930,735,
119,442,805,142,990,818,035,691,904,709,060,629,275,082,293,736,881,069,755,
250,176,211,247,907,045,989,029,927,967,601,737,096,843,115,715,075,083,386,
497,807,666,540,178,391,975,159,913,730,487,486,538,620,627,878,138,748,674,
196,510,754,381,645,991,217,343,573,328,421,403,122,429,803,402,462,214,868,
371,690,324,087,585,006,277,073,766,525,654,203,110,729,240,591,163,569,566,
267,473,969,219,707,263,543,407,211,737,268,661,456,249,202,211,378,090,780,
971,511,083,724,893,685,830,696,481,799,355,262,123,909,982,689,647,531,633,
129,472,688,083,874,468,848,523,315,359,054,416,273,618,540,358,787,592,146,
603,557,271,227,722,159,628,934,484,776,541,118,199,483,208,545,206,807,927,
315,475,380,846,974,749,766,554,476,422,038,853,116,703,204,400,404,181,426,
134,286,486,024,402,788,982,470,273,324,927,958,784,264,227,932,556,376,873,
745,343,567,301,887,458,346,527,165,501,519,079,837,544,023,787,375,419,451,
747,547,338,588,058,509,577,460,991,784,487,220,973,798,162,481,083,237,257,
359,229,524,708,558,478,575,852,960,331,835,761,931,698,035,495,231,355,497,
306,726,460,525,719,700,553,949,053,581,637,276,576,970,689,847,946,966,142,
492,824,023,613,734,195,041,770,151,295,665,197,448,176,905,646,724,402,239,
383,337,540,164,672,428,507,832,122,987,058,774,836,600,687,810,947,225,174,
309,890,491,617,732,940,658,799,740,649,688,381,873,979,059,460,821,779,313,
632,939,599,438,953,424,443,529,720,902,680,330,260,480,322,273,322,587,649,
134,438,813,418,543,353,221,793,416,716,925,992,209,637,785,413,554,077,385,
217,419,318,053,998,609,739,747,978,057,116,986,167,429,791,540,782,614,774,
927,504,384,853,454,384,480,888,528,701,482,246,000,417,805,051,837,055,429,
262,016,073,366,337,975,120,614,778,175,657,260,639,050,420,067,961,117,715,
455,668,612,266,456,890,741,247,531,373,953,533,849,052,831,458,448,872,184,
082,501,602,918,330,452,542,540,074,814,186,031,500,056,910,627,459,397,540,
575,567,465,554,841,347,682,480,136,865,402,765,297,486,235,843,052,970,293,
516,346,794,795,716,305,722,544,265,562,533,518,130,976,501,385,565,481,136,
525,640,526,813,919,691,739,390,965,737,446,871,614,113,054,341,340,181,071,
121,188,901,619,953,286,042,873,042,031,973,418,998,960,462,880,022,598,838,
427,889,245,572,469,794,150,372,208,667,850,269,926,870,887,031,812,990,997,
742,391,957,729,822,480,175,761,731,404,586,887,968,814,704,966,684,043,663,
436,077,595,120,747,468,752,881,306,131,502,183,168,866,392,326,669,459,371,
025,252,284,374,662,071,343,572,505,110,841,247,856,051,916,424,959,102,887,
943,102,521,820,817,924,789,455,372,357,239,010,619,480,357,595,611,909,403,
738,055,014,025,636,447,699,231,244,046,104,467,429,538,660,834,051,872,984,
200,607,739,198,085,707,304,995,320,334,708,764,834,966,111,546,748,104,930,
291,477,612,304,659,189,019,195,059,104,765,523,244,711,304,862,027,770,489,
748,784,721,492,771,103,839,103,817,330,500,455,977,246,393,791,490,189,960,
106,464,128,058,968,036,718,580,631,675,000,704,987,504,432,373,629,439,802,
102,949,267,308,530,280,597,522,682,978,520,904,727,679,968,477,756,461,937,
780,061,537,296,589,893,638,623,036,588,203,846,672,228,279,255,473,101,689,
969,116,513,857,615,206,582,657,035,993,515,477,601,973,860,064,479,375,453,
172,971,646,816,768,139,680,071,065,033,316,194,202,545,409,662,677,065,539,
567,428,988,005,165,820,487,372,426,647,167,813,685,463,134,422,474,248,088,
409,803,383,948,300,988,134,627,964,721,897,496,539,425,042,840,483,483,162,
353,682,803,123,927,441,504,537,295,273,424,593,528,675,747,505,193,891,007,
803,091,211,645,934,157,746,023,359,281,237,468,467,971,933,668,763,555,013,
329,596,567,100,834,852,042,173,664,747,473,725,022,531,390,083,066,266,013,
935,730,295,439,150,310,794,753,609,111,131,274,334,578,106,544,440,599,026,
821,285,692,789,288,546,667,891,877,699,277,766,157,092,915,872,134,774,287,
983,096,933,399,615,744,810,327,627,430,100,911,539,783,988,059,323,193,473,
001,118,957,070,806,552,206,388,623,761,608,535,376,821,352,053,214,560,422,
441,386,280,270,104,839,461,425,061,134,511,290,153,781,812,042,260,701,755,
887,029,456,598,718,484,959,763,028,576,857,779,892,762,111,490,907,205,371,
634,605,064,124,075,464,860,013,940,032,563,872,923,364,072,932,711,804,621,
704,815,108,271,326,882,751,826,332,863,480,892,448,037,432,917,581,786,415,
531,511,661,186,157,751,709,355,775,400,726,130,937,500,043,523,257,771,818,
836,303,228,364,161,336,884,538,454,176,548,062,593,003,675,122,336,507,403,
230,825,313,467,802,282,079,360,588,045,354,694,008,721,008,081,342,500,006,
784,188,576,383,715,856,330,105,679,310,890,499,040,439,423,119,147,351,376,
338,209,369,278,207,395,652,273,752,203,737,367,745,026,812,180,712,079,318,
373,277,421,759,501,173,401,574,274,832,042,381,245,416,205,079,063,168,422,
853,515,898,524,460,241,717,258,873,593,753,159,434,394,189,382,323,127,537,
925,504,948,411,532,004,347,381,712,076,427,620,431,769,102,462,325,181,972,
926,118,905,936,264,542,609,500,988,057,529,657,583,147,275,418,668,793,345,
455,254,247,762,249,738,279,141,352,040,193,278,231,927,134,800,733,691,924,
929,713,235,666,179,842,325,566,651,662,019,495,004,417,745,243,124,594,547,
945,999,819,112,375,542,574,282,688,898,259,710,345,592,147,814,601,073,184,
793,085,068,348,390,227,165,102,817,922,228,613,514,163,988,088,253,433,480,
550,666,942,148,927,970,620,431,616,597,918,794,449,633,902,094,005,770,981,
685,086,572,414,149,211,325,456,449,843,811,808,864,418,087,277,794,420,501,
265,518,652,641,507,497,229,374,885,993,950,960,532,348,233,437,021,840,177,
376,760,183,085,042,622,620,593,098,403,853,772,463,895,166,371,082,039,541,
496,449,896,231,975,039,478,531,361,944,418,146,875,410,419,955,636,199,383,
011,215,695,122,879,446,472,972,955,650,877,521,564,650,338,255,693,643,900,
233,937,591,495,459,960,728,600,989,184,064,609,147,633,083,083,651,317,729,
524,686,288,355,228,030,741,363,787,281,369,462,547,452,402,533,213,210,949,
076,752,229,731,304,638,106,857,269,782,755,360,476,488,996,632,180,678,576,
054,423,075,534,483,120,848,282,940,685,517,761,445,179,830,399,469,657,524,
378,933,927,615,027,598,589,823,339,094,291,475,458,236,032,426,005,911,393,
072,136,872,651,523,155,757,681,405,676,211,145,734,371,519,321,864,003,013,
688,354,107,865,964,010,263,867,829,412,659,426,376,591,514,886,946,836,953,
446,978,319,803,188,801,478,559,550,334,542,417,939,752,076,864,997,176,923,
720,772,984,029,797,829,632,156,845,160,159,632,072,314,431,215,114,522,548,
134,289,945,568,700,782,920,188,163,975,772,095,852,390,869,343,399,193,365,
817,280,077,325,537,798,820,528,634,835,819,224,380,770,283,057,276,802,523,
902,396,950,526,697,404,147,978,974,993,448,028,178,487,750,890,026,696,425,
888,830,073,224,705,632,245,815,738,382,082,758,903,785,896,155,178,952,977,
375,411,121,014,419,003,565,910,002,028,387,662,587,176,353,250,455,842,756,
701,625,248,040,857,975,090,299,255,891,534,619,545,281,594,695,150,597,400,
539,548,268,033,734,551,665,092,398,899,006,715,873,617,521,554,622,776,283,
047,223,951,145,196,999,682,341,109,484,993,694,074,316,672,661,893,582,618,
403,462,912,833,043,384,486,589,928,629,314,872,296,067,098,121,512,261,056,
810,024,767,407,096,112,099,411,365,602,752,501,126,212,613,473,172,992,407,
532,983,081,647,650,299,979,445,484,750,855,366,330,805,268,760,621,233,671,
653,296,609,916,132,697,970,614,545,469,524,036,688,049,451,004,030,893,485,
849,526,742,348,780,664,013,586,518,717,928,529,402,379,952,828,192,551,043,
336,388,743,786,625,706,213,571,040,353,510,908,717,445,561,888,455,512,687,
400,839,799,339,243,468,793,308,265,217,144,980,273,355,501,293,999,427,459,
726,718,567,035,703,916,208,098,532,526,388,594,858,888,409,688,492,466,362,
088,003,171,265,134,124,819,689,243,367,241,488,885,132,063,325,306,526,031,
961,874,134,881,688,572,313,953,140,412,409,416,281,713,679,727,321,040,074,
686,260,024,479,477,924,781,067,772,859,920,197,954,427,865,684,632,679,758,
950,287,245,000,513,742,077,687,717,850,104,806,910,045,322,489,544,056,020,
448,965,146,567,628,365,202,991,100,818,432,121,767,528,054,132,146,994,620,
081,080,477,705,240,163,781,478,798,793,660,344,266,962,633,800,713,529,809,
727,271,756,536,300,292,631,533,760,389,460,314,525,897,470,929,239,752,429,
042,936,140,948,839,400,773,887,146,847,782,209,589,590,999,454,292,516,094,
615,649,336,455,647,818,503,662,214,734,144,589,624,752,962,287,919,020,841,
967,554,310,164,657,623,038,456,211,616,921,361,287,192,191,471,814,795,520,
198,205,403,036,981,158,560,666,247,375,228,901,530,412,908,463,300,266,791,
895,615,386,715,087,605,021,376,831,503,134,601,925,795,517,824,020,737,988,
055,544,087,721,993,907,254,186,289,300,870,343,088,929,336,679,320,912,107,
144,335,854,416,537,192,731,220,861,771,992,519,610,787,640,254,863,459,157,
127,531,640,437,768,113,830,671,119,060,679,646,101,048,628,835,254,800,062,
252,519,195,481,417,545,305,571,902,285,057,715,326,301,488,678,252,258,480,
093,119,537,386,035,850,166,586,145,511,547,339,731,764,941,340,042,315,619,
443,796,103,717,300,420,504,824,886,019,440,914,691,960,449,347,930,065,352,
448,261,794,104,253,710,408,916,754,956,703,022,701,638,744,816,218,199,623,
060,737,543,378,280,958,820,589,041,378,362,559,563,760,939,927,848,570,569,
702,496,318,484,402,020,873,676,262,936,342,992,795,124,271,635,585,534,409,
580,547,901,318,602,748,429,348,601,549,039,904,212,189,381,127,866,849,498,
797,442,686,868,977,960,295,833,325,251,928,333,163,252,334,954,817,056,207,
856,094,090,253,249,920,618,571,031,750,875,638,500,320,564,761,481,388,908,
056,619,277,935,212,935,766,752,327,513,224,727,442,443,531,076,617,644,618,
852,721,664,406,277,634,162,607,123,458,049,873,886,759,331,299,256,406,547,
936,528,468,353,059,234,656,335,052,882,985,659,712,038,316,566,154,312,532,
568,195,367,223,753,130,442,148,382,015,988,103,096,698,154,420,435,044,865,
911,788,817,598,953,133,096,758,651,364,342,912,870,789,343,424,838,726,386,
882,856,816,830,599,857,338,320,192,640,785,255,863,651,901,452,955,138,966,
081,048,493,826,570,629,484,742,928,980,678,019,837,660,822,354,246,122,006,
065,931,936,165,286,912,035,423,079,070,803,421,740,465,118,341,712,807,424,
166,543,235,004,971,981,990,798,707,236,646,691,588,071,817,316,374,518,688,
762,892,299,129,318,280,232,737,820,274,927,154,134,694,339,806,401,871,603,
707,591,394,722,885,921,919,841,144,784,162,054,270,217,245,196,584,563,451,
124,884,129,518,015,847,290,390,102,767,357,567,392,387,280,326,700,191,650,
160,536,179,406,714,879,924,372,958,628,826,778,383,401,261,028,231,193,246,
137,062,795,073,830,955,147,300,125,842,323,212,717,330,681,015,672,388,170,
256,811,659,000,697,806,132,118,280,291,422,021,833,234,618,937,718,951,322,
289,494,350,787,488,622,433,438,176,209,149,959,899,869,595,062,258,452,501,
337,108,367,444,131,153,242,663,891,186,199,727,832,254,451,928,104,736,142,
881,411,210,631,093,752,989,804,786,840,034,707,879,454,393,772,892,978,733,
404,314,304,100,426,497,931,682,122,101,741,141,908,660,641,912,414,449,024,
027,963,076,362,427,573,484,234,455,137,854,967,597,490,463,732,861,766,208,
352,529,963,422,013,653,550,401,201,834,479,856,041,210,795,360,950,459,539,
393,403,073,688,214,906,995,533,675,524,379,631,435,402,777,120,338,876,242,
308,503,294,080,350,605,808,763,520,486,263,006,460,377,276,196,060,809,568,
842,810,247,597,025,449,237,275,309,520,661,837,160,744,772,262,079,489,643,
692,740,423,502,636,942,538,776,265,300,959,895,253,207,566,648,198,633,079,
250,341,279,632,837,404,706,121,272,539,235,502,453,864,418,812,892,697,217,
811,299,357,268,996,843,321,190,722,131,296,027,995,310,121,273,757,011,486,
174,671,861,866,286,765,659,270,470,763,268,917,939,406,558,963,354,709,613,
799,130,770,555,882,285,807,196,000,954,944,727,829,195,423,397,449,447,618,
349,731,203,255,362,352,590,028,552,908,854,865,275,718,875,017,305,915,726,
610,684,120,253,912,055,630,515,477,553,728,551,118,751,145,134,926,796,985,
384,888,267,637,300,280,688,588,984,521,272,097,104,879,319,378,381,642,117,
977,458,258,709,835,524,088,750,141,268,859,726,181,279,837,199,667,986,905,
860,184,969,435,045,257,544,829,819,797,868,483,906,446,397,487,894,339,557,
569,156,491,234,417,927,536,380,725,168,211,655,017,762,902,339,910,028,227,
874,728,491,316,802,678,027,165,781,742,457,725,658,436,450,277,142,102,742,
086,586,322,868,061,580,945,621,325,116,301,158,964,264,877,533,254,100,578,
797,518,319,096,008,502,243,819,854,205,581,854,872,060,498,524,867,505,833,
586,745,566,360,904,928,693,997,909,192,024,679,204,885,823,507,597,724,092,
542,038,197,600,647,605,206,768,602,442,467,410,922,987,285,277,510,648,363,
640,914,892,320,086,255,840,569,477,114,886,560,672,904,677,324,283,725,173,
811,695,740,775,381,624,116,404,439,972,086,313,782,951,607,438,028,678,138,
733,332,602,110,495,544,002,405,762,324,377,818,437,115,581,615,070,548,895,
034,989,818,420,504,548,796,966,559,161,588,327,282,222,512,931,714,390,947,
038,046,012,227,941,517,124,522,752,187,510,689,054,399,876,033,992,598,769,
025,792,445,227,196,043,145,800,666,725,564,293,394,826,575,503,503,704,825,
379,921,717,438,404,394,966,421,953,434,600,155,496,876,000,972,591,570,881,
589,947,152,772,056,767,796,020,194,320,151,906,447,855,947,320,341,305,682,
786,562,362,472,558,694,698,468,781,400,281,781,339,869,650,781,234,199,501,
207,956,308,492,636,839,073,849,629,571,581,642,099,708,455,266,933,521,121,
603,850,394,550,686,591,466,209,154,475,693,189,161,011,007,828,335,999,984,
948,836,389,943,311,493,287,486,999,614,463,747,945,155,052,612,898,513,201,
544,177,438,590,389,909,095,661,711,940,178,934,862,016,914,566,272,054,891,
885,811,327,929,306,748,424,781,094,354,518,783,014,157,057,990,282,912,724,
290,801,521,430,431,167,549,362,678,570,901,503,642,943,532,661,841,932,892,
994,472,687,284,197,927,161,922,942,889,842,586,749,656,246,015,445,604,786,
715,884,112,653,826,639,568,334,379,986,078,417,939,586,930,836,582,640,352,
453,095,404,428,830,634,047,819,548,503,619,175,480,131,888,394,636,802,242,
990,974,314,122,427,371,722,095,323,748,613,612,852,871,065,349,728,138,346,
474,902,825,176,197,671,696,551,375,592,402,957,313,416,019,695,189,378,434,
871,807,419,083,144,965,534,387,806,363,003,795,770,748,813,220,580,379,076,
421,732,495,243,862,367,272,775,789,522,781,913,163,508,162,493,571,582,183,
386,378,613,182,992,983,167,384,021,374,213,834,567,759,058,697,642,646,462,
635,610,990,445,025,335,521,198,974,284,546,991,975,545,383,821,931,935,152,
270,130,005,396,642,431,650,153,976,550,947,246,476,515,511,190,302,550,258,
268,292,376,031,405,257,138,259,490,052,731,350,558,635,256,826,039,895,358,
303,164,316,785,165,509,683,192,712,790,408,027,414,594,941,361,441,658,319,
464,747,900,786,069,128,797,613,101,835,050,427,557,298,420,494,712,157,957,
751,552,032,337,890,977,290,385,252,199,987,853,191,043,873,006,249,033,570,
906,426,699,674,805,419,684,967,834,644,303,362,090,410,115,606,160,461,872,
397,558,514,368,414,042,079,907,057,209,913,491,617,730,767,123,180,779,936,
446,023,065,685,482,279,630,760,054,861,453,781,739,708,424,410,226,617,183,
048,630,830,714,779,617,184,858,607,318,840,735,668,211,422,008,392,716,642,
937,125,714,370,852,376,822,181,760,413,313,479,691,740,717,765,555,128,892,
266,801,755,247,949,026,582,299,060,970,255,457,718,734,011,991,555,390,829,
241,715,655,997,958,325,189,439,208,746,380,874,902,257,990,068,208,876,117,
690,876,832,687,263,985,419,022,834,671,921,160,505,688,174,951,211,332,648,
269,584,346,943,795,274,731,796,638,414,017,396,645,210,155,413,631,790,947,
796,837,019,086,212,129,705,759,152,467,937,632,099,063,611,629,203,812,908,
780,782,041,852,110,636,915,008,821,926,314,883,076,392,121,593,255,770,413,
068,536,490,445,178,066,629,088,692,270,257,951,993,979,712,590,417,813,439,
419,324,799,626,853,510,004,377,348,843,890,731,631,152,098,513,335,006,113,
287,215,224,746,783,503,146,534,368,316,405,256,626,710,582,157,940,226,806,
699,251,003,964,070,362,617,288,121,468,602,831,420,147,738,649,922,779,755,
319,051,801,717,101,215,218,738,963,789,446,623,621,418,529,607,468,441,819,
904,014,475,653,128,590,473,902,745,465,265,845,803,370,986,779,020,331,824,
408,973,230,639,272,350,697,153,642,143,541,899,043,701,802,094,908,073,142,
496,720,678,113,391,004,320,837,488,219,731,577,015,614,665,643,366,812,186,
423,539,182,077,434,416,740,128,019,836,882,295,953,845,385,350,803,118,425,
038,091,395,261,201,421,118,410,339,369,566,938,369,135,845,972,339,677,351,
838,241,230,566,156,139,874,299,279,335,443,033,387,635,353,236,572,832,641,
234,943,337,135,782,288,183,872,830,693,891,683,639,986,531,861,818,834,319,
029,960,760,630,496,652,975,832,996,066,771,570,504,568,003,363,632,231,242,
909,411,218,003,635,423,058,421,319,032,695,636,937,916,282,009,865,004,203,
460,190,160,673,591,433,981,062,007,166,419,988,336,350,239,494,324,347,118,
092,546,867,881,328,011,056,588,904,160,676,721,259,905,991,072,884,191,019,
901,185,528,683,243,010,860,200,475,890,963,689,722,850,320,198,103,147,256,
220,825,754,682,507,480,011,367,820,735,565,171,645,968,711,232,513,825,558,
712,835,911,964,980,074,058,370,110,975,701,697,563,236,746,268,527,521,760,
362,262,281,387,027,068,575,975,420,974,279,524,963,425,801,027,965,185,933,
953,040,820,841,035,732,081,097,598,229,291,680,961,256,569,012,749,406,673,
027,933,072,124,570,866,267,928,648,626,096,821,182,214,361,134,072,437,166,
408,693,295,544,880,391,682,278,134,914,295,515,099,831,633,285,545,218,439,
225,152,671,919,951,910,058,988,354,342,074,967,873,509,887,063,167,706,442,
952,190,306,148,972,113,142,670,309,109,945,242,845,202,126,373,704,126,784,
887,345,819,112,709,411,513,699,061,213,088,948,673,245,271,955,003,808,968,
008,122,210,036,846,878,383,926,818,177,813,200,325,137,935,906,698,450,241,
342,271,489,601,481,753,492,619,525,763,346,567,356,119,895,636,218,404,038,
038,837,995,536,839,408,886,966,234,476,850,557,519,149,363,207,160,132,312,
434,467,165,180,788,366,269,276,648,742,938,996,742,615,590,442,487,043,937,
387,751,431,993,656,552,970,465,428,278,286,436,502,960,097,510,493,386,967,
160,407,521,908,275,007,007,747,800,222,141,115,422,036,582,396,849,041,204,
882,572,105,806,890,183,860,112,040,872,211,584,063,591,118,697,286,703,767,
943,201,861,039,892,693,146,453,369,327,332,784,798,349,411,102,178,932,618,
674,923,986,658,964,824,874,467,062,696,368,568,940,965,573,584,760,469,115,
274,089,002,608,444,291,116,713,766,810,522,035,423,809,965,921,214,675,893,
565,291,524,950,020,867,121,871,945,266,284,009,724,036,411,399,792,803,348,
375,451,571,766,561,828,270,318,455,666,114,233,490,946,797,136,536,585,300,
589,476,288,244,937,084,652,120,699,843,996,023,538,276,051,145,900,403,342,
970,100,563,064,314,395,409,250,386,962,819,644,311,993,687,027,189,709,257,
271,675,644,896,827,097,070,665,455,104,809,922,163,863,474,622,941,735,194,
325,379,869,757,611,706,303,441,929,947,262,618,495,610,075,198,928,071,132,
291,288,332,965,376,971,672,970,656,797,025,232,724,327,200,770,891,808,952,
524,797,578,435,146,712,286,172,709,158,349,203,133,113,836,073,400,266,399,
838,222,338,665,370,274,422,988,681,197,465,616,628,750,304,077,837,249,914,
094,358,404,589,102,276,723,302,360,667,935,643,961,145,563,188,400,864,061,
618,838,832,504,572,625,125,147,887,762,866,396,199,684,484,980,566,422,314,
954,858,892,516,721,914,562,475,724,396,707,705,062,174,975,809,918,625,913,
153,270,145,443,362,895,279,335,618,079,821,447,871,669,553,281,474,540,185,
683,635,008,952,896,526,159,728,834,412,561,771,201,251,653,008,959,259,524,
745,323,625,678,361,081,107,033,145,904,675,526,936,907,761,442,865,551,528,
281,206,616,360,884,016,527,311,461,071,326,588,067,418,414,807,960,886,214,
171,789,498,679,414,509,233,542,533,784,099,530,238,445,682,208,661,556,413,
734,523,823,328,641,721,575,282,934,642,102,128,648,114,430,388,336,639,202,
968,271,482,243,609,603,186,883,395,060,688,512,213,125,881,091,356,308,107,
428,744,882,294,091,571,539,225,989,736,635,230,689,280,765,619,874,205,533,
294,800,232,831,549,463,624,219,522,044,141,670,016,354,169,969,991,469,402,
766,575,508,679,794,297,680,289,788,935,748,519,319,028,551,012,792,268,763,
951,301,216,254,896,631,372,413,496,885,870,721,318,899,297,419,929,684,101,
926,661,408,573,509,590,769,863,680,871,325,909,164,304,303,261,380,753,676,
650,564,356,793,264,711,122,468,682,227,763,195,533,484,255,905,704,871,434,
957,897,947,267,439,049,467,882,757,061,744,573,908,696,326,059,012,798,587,
654,825,391,497,925,227,225,764,271,930,253,852,704,173,954,802,221,913,264,
741,076,507,444,258,195,414,535,579,573,321,555,704,945,687,292,494,843,891,
634,890,342,304,345,322,978,370,664,820,506,026,328,446,707,183,799,920,632,
104,043,687,142,905,044,222,678,381,038,888,718,055,667,699,800,428,571,086,
785,324,532,308,644,856,831,205,527,712,197,505,131,899,938,702,793,225,702,
931,240,169,815,696,223,980,572,881,960,192,210,212,188,457,982,318,373,252,
842,179,561,266,235,544,409,326,267,248,810,958,774,903,018,582,141,822,539,
227,037,500,481,125,176,422,902,861,635,987,381,206,263,259,772,671,786,820,
213,004,959,676,429,884,319,441,471,915,456,693,896,736,163,957,240,785,189,
195,831,713,256,101,319,649,558,852,560,647,548,196,593,763,611,445,122,476,
176,116,104,386,989,440,810,273,536,590,882,406,268,203,516,699,530,623,680,
682,897,903,412,784,770,139,056,215,607,165,590,009,508,594,513,201,214,395,
755,425,222,359,357,822,110,889,073,732,904,357,205,468,471,564,262,876,359,
074,192,607,403,844,805,125,626,186,903,298,944,030,033,692,164,256,203,860,
950,074,679,016,534,864,940,302,215,140,349,503,435,927,635,174,260,739,744,
053,979,379,061,514,502,180,091,457,757,479,766,679,315,632,887,482,001,826,
041,384,185,382,268,835,957,967,185,160,501,549,167,753,436,560,294,891,368,
020,605,259,225,270,308,702,099,129,946,946,799,605,410,352,940,859,292,750,
785,950,871,939,682,001,701,618,887,307,806,509,190,227,587,120,879,834,914,
794,966,503,114,392,405,171,876,892,324,362,260,904,688,179,113,072,612,372,
433,312,937,361,008,785,954,406,663,335,248,372,177,660,509,680,352,892,079,
794,853,126,849,197,764,066,256,614,540,527,592,260,060,288,267,720,545,514,
695,032,198,530,586,909,919,577,049,808,856,215,446,923,033,519,075,369,857,
423,984,665,239,832,774,352,440,988,051,707,055,886,753,960,753,616,410,933,
615,949,098,741,506,041,124,113,012,569,881,866,135,612,016,856,664,919,426,
817,760,350,624,786,222,762,717,808,705,422,797,193,739,559,937,154,862,070,
798,423,743,426,592,392,288,374,593,601,007,910,816,828,366,257,735,403,891,
287,447,621,025,024,946,076,061,130,771,812,536,018,429,234,336,650,175,487,
126,009,558,967,149,501,765,089,745,761,115,606,084,010,684,552,742,119,996,
513,990,868,279,394,439,780,554,024,015,460,066,529,106,370,279,754,144,448,
417,986,935,613,314,661,760,883,938,774,850,548,013,221,963,716,199,116,196,
646,379,785,431,461,606,770,878,987,085,934,299,639,883,309,040,282,682,309,
488,275,333,739,939,385,726,322,609,401,762,442,488,772,393,297,902,910,941,
620,105,337,537,476,586,416,788,786,287,820,959,124,267,200,176,970,411,341,
501,754,568,150,795,310,791,507,415,887,833,490,453,076,974,979,455,744,005,
988,625,100,242,951,824,122,734,152,139,614,886,324,897,934,534,441,788,500,
677,480,073,167,318,531,483,010,607,627,386,613,388,021,151,567,538,084,728,
654,315,651,379,355,419,630,450,661,065,548,500,795,191,752,516,493,600,281,
165,530,646,896,428,561,940,765,913,002,940,355,044,541,655,949,045,325,681,
713,596,427,092,851,812,530,767,859,034,791,249,865,512,735,181,710,145,400,
947,149,607,379,203,078,242,638,092,397,440,964,241,567,836,906,078,295,910,
375,307,613,811,235,064,739,267,314,576,953,471,718,633,248,091,866,936,665,
200,080,697,347,842,649,872,382,619,965,635,930,190,103,798,387,022,628,441,
437,982,687,337,500,112,825,490,637,593,711,350,425,781,643,238,555,608,984,
706,391,508,030,876,881,015,836,692,456,758,007,783,671,100,903,606,276,790,
528,525,884,936,026,969,334,180,560,913,550,794,094,994,127,022,319,468,009,
503,398,190,097,951,107,598,557,390,386,457,395,982,476,663,536,493,011,294,
646,793,797,397,074,678,715,918,789,304,478,340,385,280,695,199,331,535,244,
946,520,181,084,599,739,361,185,836,845,618,759,267,911,119,067,303,969,865,
201,095,118,504,984,685,062,307,706,714,191,547,009,614,171,857,583,081,225,
160,103,052,415,861,663,411,167,468,947,264,864,591,812,821,649,735,408,719,
618,376,568,104,248,628,026,434,096,239,709,608,050,621,974,741,675,910,709,
386,124,290,600,692,465,672,918,738,800,500,233,653,095,961,316,157,172,097,
678,045,105,447,101,374,131,362,688,404,905,127,141,740,634,644,868,565,329,
425,809,147,609,153,448,319,151,677,933,105,568,608,616,860,181,507,865,690,
215,998,686,336,871,205,010,925,217,458,866,834,405,421,974,511,326,492,636,
572,991,182,884,994,235,329,338,092,373,971,708,631,209,496,833,004,855,625,
613,019,395,405,663,491,340,856,769,771,885,049,897,366,416,228,556,834,138,
101,873,310,559,975,076,849,350,719,416,352,564,182,412,695,895,341,670,348,
842,556,074,631,964,142,674,037,430,551,076,781,094,078,237,643,212,770,662,
627,959,598,818,394,427,297,577,899,483,233,809,310,571,613,611,882,377,717,
125,545,043,550,675,898,816,829,343,375,319,955,589,457,630,696,301,744,392,
281,821,212,650,545,852,771,237,356,872,848,121,920,380,582,509,562,252,013,
044,119,502,853,946,748,384,604,435,073,203,674,615,872,269,171,871,238,237,
727,642,611,891,889,320,780,321,462,886,505,254,697,165,736,061,653,555,652,
600,568,449,464,024,760,879,880,032,629,907,422,698,974,599,680,748,778,505,
975,390,413,380,794,345,809,530,881,336,682,843,075,769,466,171,361,471,284,
563,647,149,114,205,318,480,832,302,814,930,084,573,446,787,761,399,255,381,
745,198,619,943,570,100,082,736,067,821,256,127,013,537,805,955,211,784,168,
048,506,299,017,822,882,292,791,348,512,542,764,330,659,250,698,723,683,291,
633,780,445,736,768,689,483,354,220,986,418,420,031,572,121,945,748,126,851,
174,306,402,760,114,714,868,581,045,266,451,081,666,249,814,969,935,098,047,
409,818,950,793,538,451,253,509,059,558,337,992,883,965,980,779,091,010,476,
482,166,655,773,426,436,543,250,727,548,179,276,380,667,764,577,043,216,959,
633,149,573,521,667,085,879,022,824,947,258,955,201,861,901,256,888,864,576,
008,366,034,200,576,321,953,269,202,522,094,478,384,650,649,902,731,686,202,
705,710,625,850,434,688,938,449,713,138,381,980,892,650,768,182,575,302,560,
042,611,041,996,773,663,921,092,997,646,058,709,089,523,597,982,160,753,337,
251,065,745,226,632,485,834,862,427,599,110,801,023,304,094,029,899,243,798,
918,506,285,147,155,655,222,606,609,295,198,712,406,333,834,670,956,168,146,
528,961,274,198,148,953,023,945,944,447,409,046,624,004,774,240,793,964,982,
720,391,709,651,306,717,946,215,612,474,026,715,921,366,170,133,064,073,709,
499,788,080,035,617,094,393,355,824,756,668,509,874,035,140,756,972,997,960,
747,139,573,772,431,603,322,026,996,705,981,348,482,640,309,131,301,033,060,
663,910,077,939,593,866,427,966,409,054,925,626,368,627,347,981,276,253,263,
339,719,233,296,058,496,242,312,184,135,482,940,136,361,004,810,881,169,475,
172,147,334,578,070,883,151,088,717,917,146,407,328,812,940,215,742,694,355,
828,219,380,493,962,349,672,010,923,975,464,409,889,883,099,837,480,754,970,
125,888,067,770,070,472,791,688,328,589,007,605,479,113,081,915,317,800,046,
661,421,367,247,812,259,487,571,216,430,799,002,419,603,717,682,249,656,782,
854,231,169,032,526,551,679,029,732,704,612,744,977,011,815,627,602,636,969,
125,624,533,145,520,757,445,926,474,478,241,792,273,273,518,183,802,655,792,
758,189,527,960,731,880,186,760,326,767,405,111,514,323,816,994,254,847,066,
719,717,608,642,536,581,320,189,108,009,569,322,967,633,708,062,354,305,007,
546,226,930,274,147,997,068,097,215,131,966,738,348,584,708,790,412,416,618,
094,339,658,038,462,230,183,041,078,899,347,890,554,536,848,480,525,082,445,
431,785,908,106,464,486,017,687,591,314,351,853,542,710,890,458,745,417,395,
158,619,524,281,081,596,917,873,967,998,253,264,840,867,460,471,119,593,698,
793,733,660,973,591,720,617,369,194,952,695,582,812,184,434,628,307,267,831,
655,017,245,550,269,410,411,056,575,059,557,453,090,332,601,701,593,032,495,
696,669,900,956,706,340,262,023,465,421,384,439,690,042,569,723,321,975,155,
943,181,932,018,979,222,946,409,253,471,244,161,346,910,550,210,893,289,786,
391,192,717,192,607,163,949,384,399,077,081,323,866,805,108,005,599,504,042,
699,453,446,899,555,939,170,169,983,665,889,745,509,954,969,685,968,777,686,
748,345,928,405,884,708,764,200,729,310,725,008,898,596,370,438,526,494,276,
895,121,868,672,059,751,110,992,981,901,444,136,314,706,451,202,137,848,074,
220,999,563,986,172,265,630,606,567,135,842,177,355,667,161,655,171,859,363,
050,794,594,854,607,008,926,243,979,240,479,068,937,414,217,586,811,778,282,
905,540,339,029,242,875,232,535,060,014,950,090,143,726,403,006,642,694,389,
715,090,618,984,533,653,964,169,704,560,150,296,625,035,435,713,134,945,825,
832,138,650,456,138,554,965,300,119,530,623,767,461,878,262,641,908,822,167,
534,520,919,735,925,586,269,650,304,254,299,713,990,153,435,904,824,998,632,
277,270,525,954,191,610,658,563,372,252,702,665,941,576,610,371,623,616,521,
782,315,966,282,954,195,697,874,479,632,663,405,744,457,912,818,907,847,287,
643,239,083,644,172,097,271,875,751,085,257,309,934,619,579,560,810,887,094,
040,734,201,551,798,225,269,758,715,513,805,398,771,487,258,613,018,050,158,
196,395,716,932,480,586,434,559,576,976,935,571,254,674,142,680,383,120,992,
064,957,405,478,362,198,991,340,651,031,915,715,599,223,281,604,869,419,327,
762,434,994,002,355,528,034,130,314,557,461,420,295,372,587,974,266,895,805,
886,776,043,471,464,143,496,572,228,160,323,641,394,158,115,647,620,948,268,
391,952,590,259,853,947,805,616,123,176,270,787,236,065,483,978,964,892,716,
304,280,844,095,838,544,894,420,639,134,630,288,616,043,641,268,132,723,716,
026,836,208,527,485,916,531,714,106,724,299,130,890,295,656,458,732,101,878,
282,333,050,167,338,187,876,322,326,154,594,886,562,574,105,545,186,806,680,
093,960,968,775,894,184,450,961,591,927,409,660,339,010,351,157,446,689,346,
237,537,872,313,341,190,258,085,969,218,117,617,714,188,658,481,823,108,012,
397,587,539,271,701,439,111,594,980,231,183,789,916,339,720,386,203,231,639,
486,166,710,657,644,665,050,168,983,059,167,817,440,839,880,410,918,075,488,
835,645,936,730,852,679,351,967,787,224,806,860,877,511,219,998,969,697,277,
215,666,638,398,413,170,391,299,208,481,781,888,382,530,424,291,612,405,064,
091,379,611,941,561,460,664,998,496,039,131,860,908,647,300,656,500,222,255,
642,976,029,179,168,726,053,805,064,083,416,302,567,639,588,198,917,562,511,
668,032,869,809,265,060,418,802,630,101,127,673,090,052,815,740,263,696,770,
367,460,942,515,850,960,966,630,081,015,478,465,055,329,647,235,413,480,060,
714,182,284,612,512,754,053,638,258,175,336,476,735,278,384,222,601,150,585,
569,968,042,391,454,317,577,684,749,467,040,431,286,290,034,858,691,731,631,
861,336,415,069,791,611,827,161,460,261,089,854,778,222,520,998,554,295,190,
695,807,993,466,714,260,805,722,306,420,041,418,213,989,157,982,110,853,756,
576,160,307,577,771,754,083,767,906,388,821,490,758,094,639,637,140,655,828,
113,697,435,324,253,520,482,520,282,856,268,798,336,887,884,101,310,420,089,
157,766,515,263,501,398,000,014,215,351,900,821,229,513,491,605,989,966,813,
044,875,915,548,165,898,206,807,144,471,030,577,304,700,321,439,463,298,332,
507,620,780,486,564,350,913,532,990,566,949,280,261,351,648,598,584,851,601,
914,511,394,084,755,758,287,757,406,723,011,021,509,495,217,029,175,806,758,
881,140,062,866,882,876,499,133,673,528,479,132,478,418,046,923,093,182,255,
121,750,640,866,321,720,779,301,654,140,789,761,175,245,709,512,286,458,520,
265,514,981,951,747,864,866,449,007,240,224,195,644,172,451,834,848,729,240,
182,483,301,222,855,979,176,131,928,666,321,271,776,686,687,426,561,062,000,
028,905,764,982,233,700,732,308,009,081,204,192,782,542,510,710,947,376,129,
456,483,094,292,015,718,338,139,897,610,218,558,753,034,381,378,354,601,808,
161,751,722,248,231,250,277,800,935,032,525,454,599,363,822,806,324,011,423,
729,598,032,413,693,689,484,706,954,641,268,550,236,439,672,959,256,954,249,
094,695,733,112,938,580,668,258,718,762,840,201,057,451,991,996,415,877,289,
678,630,363,529,777,363,363,711,788,062,193,701,980,717,158,403,491,768,460,
170,055,130,074,073,663,089,295,041,961,651,471,008,712,643,617,826,378,149,
188,172,540,060,094,061,851,889,295,799,338,170,451,211,811,988,370,912,269,
933,471,266,904,210,806,017,037,227,835,550,979,804,379,161,096,815,766,421,
960,351,853,035,748,029,641,432,471,631,814,551,070,550,826,289,560,947,327,
862,289,158,095,965,497,288,604,030,321,224,780,080,290,190,949,602,085,569,
273,777,561,590,960,806,510,542,028,899,852,784,393,028,907,501,090,862,872,
314,847,033,534,929,860,751,534,395,323,052,401,419,879,409,278,213,118,186,
838,709,036,918,029,699,201,857,473,491,816,529,042,587,556,939,401,802,310,
549,878,143,563,786,850,926,143,388,355,003,929,572,320,767,060,141,590,031,
303,540,235,052,810,843,445,771,739,020,683,697,188,277,874,432,363,470,957,
079,880,240,292,606,396,674,647,622,218,155,949,061,638,026,076,709,371,299,
526,060,880,112,113,507,777,581,246,262,109,285,696,329,878,536,296,324,279,
173,966,728,469,156,473,702,105,782,739,411,240,941,673,937,349,582,951,784,
311,440,343,895,518,399,448,817,319,085,124,471,164,301,517,461,013,007,522,
623,547,224,096,105,895,278,635,648,142,374,995,759,048,080,239,436,593,018,
127,889,896,526,417,981,607,573,363,575,861,454,260,723,112,054,408,900,678,
443,727,276,202,216,462,257,583,479,777,754,945,499,411,879,749,934,976,736,
353,407,295,758,303,842,044,802,614,633,293,888,224,951,096,383,169,657,638,
818,100,826,116,167,615,623,110,055,151,057,918,531,105,752,892,505,566,832,
412,482,486,355,885,595,625,234,703,539,761,302,998,750,277,627,580,213,978,
928,574,848,772,638,169,000,106,507,555,946,428,114,090,321,679,949,932,976,
843,690,590,872,894,122,806,463,966,382,801,247,707,861,430,408,761,493,745,
834,694,289,379,714,174,159,240,970,149,119,450,858,117,022,257,992,436,909,
108,038,876,076,929,367,514,138,386,718,104,150,874,370,817,308,570,887,700,
164,708,627,401,410,429,358,094,452,246,667,987,927,934,185,871,933,424,839,
792,925,447,654,961,013,646,547,046,491,669,973,197,426,462,947,768,051,677,
044,158,916,770,770,765,300,991,089,520,248,967,883,571,549,110,955,135,963,
188,401,704,724,990,626,593,736,937,754,191,252,265,747,671,994,058,012,793,
488,874,011,624,824,959,099,082,820,928,001,369,207,126,682,606,303,259,397,
693,130,993,892,909,171,291,873,721,598,278,627,904,316,133,775,554,996,631,
026,938,048,518,409,927,466,435,664,851,139,876,552,696,444,049,230,232,012,
709,870,151,024,162,892,618,662,271,580,386,420,014,390,177,729,593,527,639,
019,505,415,574,407,648,360,257,590,592,488,038,715,538,582,808,965,635,384,
151,279,208,570,732,660,050,407,819,316,039,356,484,034,081,001,773,446,733,
325,056,423,239,405,998,300,343,319,795,423,002,776,505,262,242,758,697,422,
709,477,414,023,607,157,880,228,473,967,182,394,796,566,811,020,385,400,348,
495,927,209,087,100,751,497,527,701,714,612,459,529,064,655,219,003,941,056,
794,699,717,165,435,305,719,076,717,032,279,148,550,094,228,206,979,222,684,
077,774,087,010,190,210,669,158,103,570,209,066,210,497,205,040,751,825,749,
895,497,003,082,162,800,108,141,229,139,541,291,286,317,147,508,264,380,810,
534,289,050,437,141,219,064,163,930,878,541,165,290,882,757,091,546,177,651,
051,365,767,199,141,362,144,532,654,020,989,717,181,103,484,577,039,698,385,
028,896,778,192,333,551,716,423,160,749,425,062,771,064,031,040,515,297,199,
589,819,469,091,838,447,451,884,759,973,102,380,648,712,910,568,396,779,487,
582,703,841,345,933,753,036,541,198,059,648,290,251,460,991,416,630,967,002,
753,449,444,854,907,346,859,732,280,479,390,832,534,820,766,235,304,504,899,
754,589,414,603,890,608,032,644,196,682,978,147,254,029,057,696,649,313,266,
976,967,051,559,022,784,703,475,779,562,313,553,900,942,005,953,606,836,839,
191,391,146,496,505,987,477,003,005,300,148,554,304,925,938,535,042,280,695,
532,049,046,358,936,316,674,041,926,296,767,010,814,750,444,195,359,102,273,
856,744,925,804,710,540,737,081,578,428,740,684,821,370,140,228,730,084,263,
710,958,841,467,236,687,792,491,628,386,731,518,215,573,754,895,184,778,348,
835,118,493,941,986,539,697,363,282,809,171,795,768,417,014,040,507,142,343,
026,093,340,857,560,003,260,660,047,038,093,083,563,728,478,585,266,524,354,
475,919,775,512,801,115,161,332,320,668,496,796,649,068,142,649,698,180,106,
204,799,102,850,825,161,523,618,101,374,400,353,050,330,715,764,198,626,893,
809,985,823,075,396,768,871,627,125,384,786,820,663,952,611,860,589,048,473,
453,194,750,740,243,275,128,019,305,447,192,793,279,685,428,806,940,654,139,
942,375,083,370,489,516,461,432,002,544,665,944,147,171,060,821,529,540,810,
016,430,891,311,940,851,651,990,078,992,314,716,600,477,119,969,741,236,568,
697,113,937,134,546,025,193,624,476,533,322,612,823,843,682,278,791,704,930,
373,612,468,520,498,294,903,101,660,845,834,780,915,554,770,054,649,536,702,
788,515,889,933,577,742,075,227,894,134,467,985,891,504,402,381,600,818,075,
240,178,043,722,169,683,655,933,523,637,346,882,745,229,298,480,446,366,992,
622,983,931,027,827,394,070,442,205,585,518,545,924,657,852,505,642,444,228,
928,406,013,997,379,421,464,325,887,723,689,668,416,934,646,905,330,584,696,
860,307,347,727,401,995,886,645,029,751,254,426,985,239,625,003,637,614,461,
258,314,365,938,065,111,929,358,562,683,925,060,822,037,776,401,680,368,333,
490,755,488,350,411,327,659,677,487,167,497,934,352,787,892,975,038,076,430,
229,087,583,836,323,211,722,080,940,499,402,743,985,464,899,832,367,684,290,
712,071,295,667,444,060,519,655,943,420,839,755,289,144,792,883,490,319,052,
002,830,987,152,187,609,967,095,718,656,851,104,282,399,604,751,121,567,029,
680,730,009,479,253,751,586,580,565,276,271,802,997,714,517,322,988,508,998,
107,428,364,087,633,090,201,680,825,238,119,700,122,317,899,820,183,277,186,
983,825,080,259,358,020,426,041,832,833,789,567,498,544,911,472,880,894,779,
398,121,227,777,755,994,374,344,173,487,852,268,067,754,151,077,666,897,633,
497,654,720,514,807,593,581,044,761,291,583,012,403,246,412,634,881,554,626,
170,253,183,499,975,496,189,601,703,449,565,352,402,543,223,852,832,852,748,
927,426,674,818,651,358,360,256,266,927,614,384,790,098,586,277,561,203,013,
286,027,204,845,852,963,193,592,172,911,756,448,172,205,271,966,031,512,157,
036,317,411,537,158,063,728,926,165,314,079,947,388,253,151,663,092,410,396,
665,068,772,856,090,953,255,564,067,757,545,705,611,859,453,940,721,719,968,
002,200,223,145,317,085,921,706,022,958,595,008,047,352,536,826,126,699,354,
046,124,581,938,806,048,867,576,570,199,884,841,379,417,562,041,646,525,712,
934,989,823,218,170,500,880,631,975,965,630,917,871,847,804,615,393,858,492,
437,111,413,463,547,166,148,739,744,723,622,856,924,551,344,878,994,919,721,
861,721,268,097,405,180,304,974,869,791,092,251,056,363,030,170,608,942,687,
560,175,984,053,621,327,532,829,000,280,829,055,501,701,933,960,090,375,896,
235,924,809,639,471,176,076,771,948,472,762,716,441,441,470,519,517,667,657,
837,220,959,047,341,953,084,936,885,400,737,729,673,672,215,959,262,893,585,
086,773,949,579,097,920,943,706,728,211,836,689,910,808,440,332,556,731,166,
754,810,250,407,432,404,862,883,982,166,460,018,515,621,442,005,546,250,797,
430,165,828,513,555,463,078,566,685,993,722,764,438,226,226,072,061,646,721,
731,252,851,261,829,188,448,774,051,289,645,937,091,645,071,392,462,975,845,
706,691,629,216,362,004,977,199,587,195,156,190,753,587,864,738,080,595,564,
656,985,118,412,541,300,904,530,878,113,333,223,681,461,489,107,425,988,429,
429,282,131,644,750,103,233,936,317,830,306,399,718,044,941,971,732,588,803,
400,629,084,431,952,760,983,815,775,633,689,993,900,242,641,138,300,770,774,
810,819,031,763,712,846,077,932,372,002,979,538,858,011,725,602,562,348,138,
105,365,915,743,983,302,618,503,434,667,032,615,107,792,884,575,724,757,583,
855,800,518,865,932,065,670,324,194,010,655,948,355,824,022,524,187,004,264,
596,212,564,024,363,971,720,471,721,025,493,746,565,253,403,903,043,879,508,
469,879,599,585,567,319,956,774,718,168,302,466,168,977,157,552,678,954,128,
634,174,491,857,375,280,346,451,806,569,567,924,903,910,495,496,299,647,769,
923,259,263,676,914,791,680,335,867,546,126,012,423,032,821,343,417,865,225,
199,251,282,002,503,236,355,255,648,635,251,778,081,926,511,825,398,451,710,
449,062,754,099,814,336,134,016,948,560,514,348,002,726,037,233,936,817,922,
021,932,842,113,278,370,856,812,978,267,498,585,976,602,386,649,329,638,247,
991,061,742,277,548,150,008,381,548,547,633,611,221,974,857,648,739,331,313,
520,075,909,904,631,671,904,226,675,437,438,545,766,218,055,846,046,051,762,
739,660,057,648,706,248,252,316,587,256,871,200,232,161,669,127,612,605,020,
024,422,492,967,326,309,423,159,681,623,572,555,239,431,839,098,130,077,364,
006,684,380,916,956,787,367,017,452,661,426,900,951,396,825,461,095,330,378,
829,735,219,289,071,099,194,449,244,242,509,705,594,984,446,308,763,489,357,
278,175,152,878,438,770,692,846,313,955,755,173,385,021,443,264,486,192,900,
606,653,842,665,512,518,004,294,093,108,070,124,742,669,481,633,427,537,123,
535,535,854,238,059,036,776,497,253,607,408,349,366,489,795,895,283,378,628,
101,532,903,021,664,305,267,206,502,653,174,926,965,708,743,759,549,499,342,
591,714,179,468,367,607,852,700,963,941,212,114,486,269,208,823,713,720,951,
287,614,802,287,961,355,972,170,026,422,399,821,862,546,252,591,062,148,341,
159,325,654,782,285,315,543,110,389,718,354,265,073,218,809,432,108,203,237,
643,058,065,633,064,171,597,444,648,010,079,661,127,744,718,383,022,527,182,
503,020,001,704,336,311,721,326,943,614,507,658,577,571,546,307,823,707,688,
844,376,737,156,798,413,787,968,936,379,081,638,573,984,768,419,841,203,849,
104,744,872,929,580,319,168,264,151,592,525,476,226,805,808,060,262,539,196,
482,596,986,295,878,497,591,335,195,346,514,680,991,771,536,034,958,703,362,
392,770,704,504,165,743,211,262,975,811,914,875,609,393,088,099,868,673,990,
572,786,044,566,341,669,301,473,617,608,985,919,286,662,894,138,869,615,410,
679,943,924,035,709,628,412,691,472,798,385,612,833,434,856,279,626,295,364,
152,276,069,018,972,155,191,358,427,722,980,797,107,442,291,217,894,375,046,
261,613,503,190,063,925,322,016,870,768,740,200,379,993,523,343,920,225,242,
644,321,239,177,932,493,843,535,387,483,171,477,294,509,287,273,298,972,871,
540,518,702,773,263,450,404,806,708,252,893,151,880,664,561,841,396,980,475,
151,045,427,799,985,189,372,102,924,670,832,328,043,888,411,940,962,111,745,
536,478,410,556,458,766,917,189,617,365,391,255,021,009,510,752,083,672,455,
702,960,246,195,804,508,978,969,463,108,626,789,517,132,974,468,010,129,600,
538,851,479,648,724,760,009,727,205,196,870,094,689,735,031,446,854,668,860,
674,831,589,793,282,690,383,143,352,137,185,636,824,920,197,331,587,879,090,
672,976,847,175,229,005,767,286,873,085,229,901,547,298,932,948,199,441,502,
610,243,110,532,491,082,706,292,183,918,668,400,015,432,676,929,524,102,557,
096,994,213,238,661,576,879,297,862,044,806,486,123,701,888,437,617,615,806,
583,417,059,023,387,036,563,854,249,379,104,046,861,042,137,805,273,607,893,
971,855,735,371,904,019,144,552,358,390,716,212,077,013,380,436,297,915,456,
459,759,986,193,173,982,337,380,367,045,083,755,559,013,411,531,752,432,486,
894,774,305,018,462,510,362,895,511,922,268,519,105,453,134,904,994,081,866,
042,527,889,829,512,922,394,549,134,749,993,413,328,128,031,288,738,718,350,
752,939,262,012,757,249,018,518,656,502,039,481,712,401,527,523,520,204,063,
615,717,381,342,121,013,750,143,881,934,945,735,432,402,876,218,285,861,169,
673,619,208,307,128,427,917,977,451,782,975,335,964,236,596,970,860,507,022,
351,686,218,314,649,467,445,054,375,321,902,254,060,804,731,676,066,334,057,
791,892,131,174,809,368,168,420,796,403,141,972,668,689,890,683,078,564,751,
234,190,851,937,399,658,326,300,542,338,540,832,796,004,222,849,325,140,525,
520,584,139,719,489,494,327,625,022,491,055,245,469,088,106,678,512,029,426,
678,378,254,668,321,675,601,562,779,469,616,255,640,137,624,778,892,470,265,
437,069,638,838,941,313,884,213,452,823,225,267,385,172,405,216,953,252,452,
413,936,226,873,238,927,496,152,818,979,421,379,094,846,352,854,391,389,217,
574,322,473,057,532,793,434,365,206,933,999,750,581,764,045,078,637,612,494,
406,976,294,041,505,815,962,486,324,376,460,988,043,842,454,662,712,760,551,
839,229,233,296,982,221,895,134,926,650,760,295,167,194,398,723,654,855,726,
131,382,798,866,516,904,851,894,392,600,074,277,548,580,508,267,327,025,367,
050,122,607,536,630,889,729,343,106,368,291,424,065,387,446,786,464,866,378,
127,385,585,498,443,877,595,971,400,836,637,369,563,990,387,178,754,305,117,
534,653,201,324,083,443,897,921,764,203,671,160,461,278,305,099,549,545,420,
216,194,364,707,823,622,598,831,472,732,441,022,974,468,704,533,803,876,684,
321,859,740,068,310,759,406,555,638,854,070,295,411,118,515,326,437,923,507,
658,829,873,812,209,378,827,317,829,455,749,790,569,550,869,548,394,995,249,
815,823,892,247,547,503,588,971,864,063,506,213,590,515,164,396,910,762,509,
741,703,625,629,405,029,154,020,930,488,214,145,680,751,808,528,905,964,245,
210,121,948,260,818,187,249,667,127,209,364,693,047,808,090,449,089,165,116,
237,003,481,666,796,944,008,393,742,845,735,062,417,456,605,413,371,157,911,
867,580,172,125,940,129,555,864,264,251,992,934,970,633,503,718,911,684,162,
617,932,088,303,869,052,880,122,326,839,454,550,475,419,237,166,918,325,441,
126,742,663,124,329,047,423,225,983,483,040,285,143,941,183,391,372,680,211,
535,826,056,191,420,893,704,070,692,783,332,723,601,187,215,519,152,142,495,
399,536,066,050,201,648,515,226,215,043,268,919,950,997,387,351,399,452,971,
669,821,316,519,741,870,307,842,403,179,277,343,241,682,738,749,535,492,350,
948,022,145,688,406,191,171,655,048,269,995,617,163,768,508,548,066,074,181,
593,313,770,426,612,506,149,914,614,484,510,927,205,332,906,876,982,194,416,
280,651,878,490,461,442,325,319,267,885,145,153,417,209,925,542,274,023,649,
375,104,407,567,955,055,158,656,786,485,071,708,956,535,622,661,511,351,121,
372,233,580,600,355,928,131,136,602,163,330,174,823,246,875,629,831,255,436,
855,719,203,831,391,763,260,866,713,362,205,838,642,694,315,606,830,649,506,
794,658,669,952,248,113,636,627,884,550,367,873,240,016,350,000,338,474,457,
326,501,345,777,691,020,749,715,812,768,805,376,911,516,980,478,620,694,695,
584,463,884,838,326,228,291,389,722,841,486,039,845,161,072,202,178,810,633,
443,865,885,115,462,703,427,579,456,406,579,458,478,706,689,074,600,271,931,
430,753,647,607,913,838,147,640,217,822,333,127,264,746,491,937,511,048,445,
521,491,249,943,584,165,712,627,156,549,899,531,760,311,749,097,232,669,308,
132,459,842,081,104,026,059,935,986,533,425,955,405,209,485,905,054,248,796,
684,189,179,268,825,186,359,357,820,208,872,172,651,001,721,082,376,585,693,
084,956,022,343,473,333,707,428,291,310,474,507,672,082,367,245,472,924,364,
070,251,489,687,370,055,087,839,200,078,837,261,830,818,609,019,293,074,364,
019,320,214,943,175,079,878,809,990,958,514,510,727,262,224,564,600,234,329,
755,272,556,019,738,222,004,710,434,078,789,165,029,977,169,674,788,080,850,
319,261,683,941,975,699,727,022,800,992,878,233,152,675,411,880,869,070,031,
135,611,704,635,714,496,171,984,216,365,089,557,251,269,315,911,860,516,556,
673,466,260,975,751,427,643,485,282,761,828,116,207,096,348,458,222,744,734,
565,761,385,393,205,432,077,557,799,410,718,733,956,636,790,579,440,012,320,
362,274,168,109,851,527,804,495,756,729,592,839,221,982,963,235,198,707,843,
096,882,239,503,720,932,816,624,386,615,273,151,220,750,445,505,803,755,580,
728,722,079,117,458,310,270,292,721,449,157,357,716,205,890,191,300,950,609,
369,495,197,405,843,750,750,329,602,071,623,274,025,669,254,597,141,375,022,
423,897,799,671,680,359,501,981,039,805,788,058,725,995,018,847,852,256,465,
741,849,359,925,878,388,871,135,449,632,503,466,266,976,527,522,554,650,979,
605,332,302,663,889,722,462,954,406,357,354,579,647,113,226,315,193,624,920,
384,477,512,030,563,583,501,337,588,303,208,417,420,803,852,351,187,976,275,
480,107,854,138,387,130,757,266,762,720,984,212,858,623,317,302,362,516,160,
121,833,767,546,032,307,473,898,667,455,178,901,549,053,902,620,505,171,824,
265,242,649,738,099,628,973,651,636,151,015,930,505,467,470,894,218,316,780,
102,821,974,958,302,597,693,907,743,418,021,839,821,116,481,765,125,878,069,
410,261,996,376,560,690,724,006,239,570,515,351,081,485,175,085,433,999,547,
100,683,633,561,561,872,767,765,079,560,914,232,567,229,100,639,686,017,674,
530,243,871,314,597,479,498,970,999,855,683,440,497,819,298,874,622,233,510,
825,484,874,338,412,767,651,592,955,840,881,400,235,558,016,756,569,976,448,
758,231,377,929,645,328,448,279,405,438,776,169,904,385,806,857,459,401,446,
190,846,683,212,305,950,160,493,157,959,298,148,835,699,332,845,091,299,895,
889,932,461,075,900,410,989,929,459,736,760,984,100,730,648,007,647,960,038,
479,191,032,313,553,903,311,072,333,083,832,397,332,187,369,875,211,772,272,
422,109,083,866,759,983,249,530,112,954,276,883,189,235,456,467,408,697,323,
593,018,077,428,618,316,552,092,380,434,970,891,052,312,592,940,125,089,926,
475,425,251,544,307,815,821,976,306,373,234,429,390,988,234,416,632,233,569,
371,059,477,373,676,435,239,976,335,087,603,530,825,902,720,430,246,611,617,
240,253,057,031,936,799,705,006,090,098,039,028,934,361,588,728,535,857,652,
245,425,304,145,194,450,122,599,431,494,582,955,575,188,330,750,419,299,960,
334,074,866,052,180,557,660,833,008,484,795,175,824,360,226,377,181,821,016,
700,199,677,584,510,200,301,665,951,392,554,490,507,856,064,758,107,024,822,
767,450,141,503,918,652,500,216,285,093,050,924,213,763,917,926,482,444,051,
035,176,231,535,726,712,278,885,929,976,497,460,805,061,708,550,354,950,490,
573,659,608,059,320,489,814,270,929,986,305,911,919,629,400,327,671,682,678,
067,287,740,240,714,500,696,235,535,517,939,898,382,428,058,318,284,533,750,
292,059,593,669,576,713,161,473,839,092,457,443,083,827,844,949,696,790,102,
910,210,947,682,277,987,664,060,370,042,034,602,030,253,351,141,101,287,142,
217,201,357,768,858,616,236,132,013,141,779,565,914,543,851,078,010,675,642,
550,498,335,004,717,341,227,194,686,706,825,121,613,519,338,662,915,922,722,
389,703,351,656,850,484,325,402,225,489,962,587,207,868,092,910,655,048,256,
836,553,752,550,565,530,953,770,428,099,588,894,395,730,461,927,514,959,937,
342,566,822,607,951,561,415,235,265,620,781,500,298,303,522,966,022,023,117,
558,176,089,319,153,643,044,678,455,306,049,078,173,077,983,740,530,308,944,
133,605,520,339,459,241,059,561,075,796,077,690,174,851,027,663,556,787,487,
205,624,178,313,799,062,692,358,551,011,068,996,380,595,947,792,701,783,916,
045,584,621,354,483,400,772,873,794,083,797,183,250,452,706,466,104,355,300,
564,229,232,231,692,291,982,840,776,057,081,204,107,868,473,274,499,977,341,
410,174,409,280,795,439,276,597,726,717,832,718,302,960,783,954,957,725,503,
211,943,889,857,647,153,817,330,385,330,503,002,266,122,085,262,614,510,323,
809,411,347,110,392,058,266,830,728,545,047,944,028,160,217,894,308,202,294,
039,553,085,239,860,301,425,473,177,185,638,319,221,569,904,963,001,791,613,
168,510,239,034,543,067,971,011,062,210,239,581,270,404,920,769,510,261,383,
797,791,827,219,392,147,504,979,665,890,265,258,970,571,607,093,026,239,219,
231,575,913,686,892,107,754,815,584,484,385,001,155,806,810,613,856,095,591,
521,692,955,881,785,314,394,159,438,317,217,626,220,203,176,219,756,883,197,
643,400,582,456,351,680,981,323,615,183,248,869,094,534,704,552,673,840,513,
133,929,057,194,369,718,892,756,061,636,262,215,007,265,654,776,805,380,282,
039,678,187,035,010,925,243,714,991,538,693,167,305,169,040,595,867,979,474,
733,472,281,457,803,535,981,514,969,005,055,773,988,745,555,507,909,658,855,
703,310,432,933,602,618,940,102,908,920,511,921,704,653,025,507,916,983,899,
860,415,572,283,144,957,785,362,780,399,858,452,670,137,091,264,252,529,445,
117,066,953,098,744,008,910,250,971,357,028,702,267,083,476,696,484,046,023,
698,841,705,532,099,422,255,445,440,146,054,453,369,087,014,228,180,888,203,
084,371,425,574,652,507,891,293,453,899,064,801,328,583,138,968,779,537,032,
653,882,593,322,074,315,061,235,493,730,674,298,417,898,326,487,687,884,461,
909,684,082,052,297,543,162,046,503,657,464,233,415,756,311,156,420,226,272,
989,470,900,955,558,720,182,857,403,926,067,068,698,998,436,145,586,054,634,
535,705,465,179,350,917,218,184,792,705,348,264,285,456,946,610,030,846,127,
613,870,680,751,831,994,994,103,986,719,146,904,586,667,338,277,565,543,693,
914,875,225,751,659,191,972,216,765,677,774,252,563,574,415,732,403,088,802,
575,356,750,400,545,381,495,984,472,121,064,513,133,639,189,823,630,537,584,
216,398,311,669,414,871,798,667,259,976,312,048,407,606,935,856,343,654,770,
629,199,892,878,652,186,124,651,689,594,503,170,680,505,340,852,027,602,241,
713,970,796,859,043,791,591,744,586,208,909,521,193,871,239,459,661,891,313,
750,568,693,686,399,395,110,887,277,264,370,787,035,535,242,030,316,480,588,
843,076,723,764,450,056,448,523,596,247,728,749,761,043,741,870,105,412,780,
146,669,719,796,174,823,265,674,271,325,400,704,934,738,011,249,659,316,844,
025,587,243,504,963,893,038,532,067,730,055,170,214,406,304,562,185,014,640,
682,244,369,182,238,360,804,575,061,945,585,546,142,299,483,876,881,263,993,
112,680,424,931,329,865,153,027,288,384,171,205,840,281,452,401,000,400,050,
962,398,410,461,655,056,917,378,057,604,247,703,456,572,043,568,526,678,354,
287,467,482,247,652,533,070,733,733,507,132,625,437,976,868,620,163,098,735,
065,678,840,552,133,058,489,649,178,268,227,408,035,585,028,903,792,449,116,
455,208,529,513,220,841,788,831,350,709,548,610,804,400,058,468,734,440,367,
449,054,717,730,395,742,184,166,474,890,813,461,548,397,307,686,511,775,935,
000,811,714,810,749,527,680,094,584,450,483,112,087,021,014,309,204,840,187,
144,032,433,389,213,700,257,912,440,336,453,684,566,607,913,373,646,142,843,
441,217,303,273,810,636,349,318,991,573,356,683,175,061,258,267,384,159,773,
789,515,742,060,272,189,841,795,167,956,174,043,818,916,176,550,176,492,461,
998,536,977,760,344,815,801,383,984,990,199,249,343,292,166,041,359,488,517,
546,340,105,290,416,960,808,354,142,711,451,430,841,301,293,410,252,455,168,
504,120,666,288,101,195,808,235,300,513,728,636,311,667,238,748,819,769,655,
132,603,953,972,600,749,512,175,112,982,024,377,414,411,218,109,259,672,836,
005,954,803,530,130,109,812,724,422,739,786,380,012,325,408,858,703,158,662,
614,391,418,467,050,965,806,280,107,346,823,739,810,867,740,389,464,135,424,
431,345,492,283,173,181,146,651,041,522,711,658,085,941,743,580,699,539,374,
876,211,695,853,809,849,146,540,932,502,860,741,050,806,371,632,759,587,222,
474,855,810,591,852,433,479,875,632,162,088,745,337,976,273,188,027,898,777,
186,697,270,563,214,475,060,998,390,119,104,204,845,141,707,669,315,139,180,
609,323,610,966,668,064,550,920,939,058,012,923,827,759,520,681,137,309,550,
435,533,487,976,626,845,160,004,752,575,548,708,876,896,562,447,554,941,625,
778,726,807,439,971,761,967,898,713,121,516,359,048,235,976,044,068,356,941,
611,268,585,200,620,962,752,657,907,098,551,876,983,663,803,652,242,054,646,
522,247,550,790,837,165,812,565,043,090,548,150,318,376,071,688,992,847,562,
583,736,865,116,751,407,375,617,612,726,278,521,795,362,696,707,767,182,168,
651,923,410,491,611,721,123,197,070,917,474,732,641,988,787,439,002,585,696,
678,618,764,127,087,893,122,207,779,502,423,542,090,308,212,914,896,090,145,
263,394,611,735,340,832,511,809,467,548,540,163,715,973,896,120,627,771,954,
422,754,093,455,861,642,965,374,355,658,135,009,916,889,506,495,819,436,549,
238,397,103,752,076,908,429,203,442,614,580,208,885,292,397,354,919,615,189,
176,954,530,965,582,327,734,679,659,880,486,466,569,533,629,880,253,521,085,
941,606,773,365,818,682,869,460,955,698,330,885,383,732,457,711,076,350,956,
834,838,153,386,789,970,751,626,607,106,681,223,831,971,303,937,023,489,162,
661,133,535,717,375,793,084,338,431,811,167,534,410,340,655,891,095,485,517,
525,126,047,963,825,026,631,450,439,644,110,851,393,598,135,342,009,828,903,
787,117,451,141,744,081,653,705,214,187,952,423,750,276,427,603,581,349,428,
259,995,875,853,605,613,450,368,195,446,197,579,241,065,758,585,377,269,915,
601,897,339,441,321,832,371,141,465,741,638,803,134,996,710,920,131,408,989,
121,338,818,630,863,757,975,956,240,988,816,626,612,856,780,032,880,443,373,
390,299,593,030,846,368,451,048,768,556,095,871,414,998,506,725,785,393,182,
924,868,474,044,245,074,001,697,821,999,385,179,420,954,923,896,978,276,534,
388,777,682,314,603,667,340,414,138,717,011,434,627,457,713,682,911,085,365,
031,643,866,790,925,410,105,091,974,560,477,684,674,586,918,094,736,743,345,
192,404,645,374,428,723,642,082,889,384,253,352,745,544,266,037,795,610,424,
036,327,862,140,115,818,780,694,280,169,921,581,259,437,424,006,956,802,706,
698,686,401,393,996,578,645,266,264,771,062,242,000,910,473,769,536,601,441,
745,024,335,575,710,881,805,615,568,279,377,633,168,174,123,904,244,489,318,
114,843,196,602,353,307,873,688,982,091,696,299,652,687,094,361,398,668,544,
886,723,497,077,070,584,402,863,533,541,787,228,319,980,174,597,371,554,898,
865,568,540,722,691,854,523,607,446,139,251,372,752,681,835,494,937,948,473,
089,049,657,726,140,426,266,942,787,993,142,914,715,888,640,303,819,399,873,
052,537,061,383,959,675,156,093,308,436,725,039,497,101,863,594,550,529,047,
986,023,381,931,366,931,401,067,847,844,240,574,672,273,720,086,596,041,347,
649,197,703,335,283,944,405,882,475,549,622,797,509,614,543,365,611,095,066,
105,898,228,997,240,721,861,232,066,581,686,256,252,069,987,206,166,797,897,
048,014,381,170,439,760,320,237,944,427,675,436,026,346,263,342,038,152,272,
568,412,110,453,409,022,650,379,232,850,297,455,003,954,982,389,736,451,426,
092,932,496,434,884,687,514,439,795,407,777,741,257,061,423,743,054,965,038,
756,441,776,740,770,212,535,137,921,713,968,280,698,663,078,925,196,381,437,
883,671,326,859,454,340,547,713,705,098,201,687,211,956,802,754,207,515,029,
609,307,890,528,953,025,149,664,837,822,834,652,878,139,844,125,634,963,774,
640,448,407,489,623,690,961,538,750,373,953,104,291,591,543,719,324,247,783,
717,022,402,007,886,987,656,581,539,449,392,513,529,201,301,234,784,522,986,
227,341,124,137,355,165,190,458,826,550,241,402,707,476,075,473,659,059,395,
781,664,090,053,709,115,638,894,696,262,589,922,737,158,072,539,336,995,368,
347,675,354,110,806,105,690,604,510,006,820,498,466,965,094,303,592,787,429,
333,899,677,842,420,094,385,111,004,709,680,312,857,243,431,540,982,013,414,
472,514,221,894,452,877,601,312,721,244,980,648,248,986,430,255,489,578,492,
382,211,961,431,612,784,929,732,283,085,526,737,223,064,162,975,210,333,017,
022,211,579,027,013,079,058,702,649,627,190,544,153,759,592,085,192,903,489,
174,670,649,152,360,759,834,588,871,134,430,771,014,991,374,866,439,628,921,
355,387,518,159,234,771,695,235,409,223,232,511,460,546,693,581,202,990,912,
089,638,141,102,074,392,652,534,899,753,373,358,009,603,822,072,141,049,274,
453,783,096,902,456,646,213,635,939,212,771,651,623,187,969,177,853,482,531,
806,434,056,664,623,185,444,490,326,647,704,791,892,906,264,206,167,849,566,
638,785,853,962,354,349,362,759,311,881,800,317,383,065,337,260,669,927,383,
667,976,288,203,232,690,072,902,953,333,447,280,654,642,934,786,487,994,675,
425,824,368,125,799,504,026,236,471,902,253,368,870,056,509,912,732,668,804,
052,902,294,252,031,727,412,573,866,494,818,400,439,717,693,975,213,747,009,
197,240,823,991,373,253,718,739,637,841,585,535,556,024,400,452,843,232,348,
115,565,540,639,582,653,484,794,558,942,752,293,572,255,694,144,474,814,210,
099,820,331,843,219,675,448,067,228,866,329,207,985,243,619,778,787,000,565,
563,365,455,495,452,408,084,896,364,489,263,995,509,067,919,567,664,838,447,
237,528,898,383,407,432,111,144,439,078,878,588,938,660,958,321,086,565,266,
307,210,318,524,957,144,872,366,468,407,367,523,434,501,791,636,338,923,439,
457,429,272,977,448,917,141,499,398,389,634,194,900,444,661,898,982,920,458,
476,318,884,806,050,359,011,113,020,199,935,400,924,874,018,619,403,853,734,
127,197,350,249,663,278,892,043,048,550,922,609,649,147,588,296,636,122,562,
589,954,641,172,693,758,048,323,584,865,453,412,904,799,819,194,208,891,141,
360,682,532,650,722,262,962,502,771,551,710,030,228,407,446,928,990,637,690,
926,829,954,136,178,609,758,650,900,201,820,113,608,994,297,139,044,797,755,
637,062,773,032,792,008,170,358,182,652,061,886,158,266,034,919,473,425,484,
060,322,671,701,413,237,560,980,228,535,944,249,318,128,010,820,540,083,101,
588,971,100,402,208,623,779,545,691,678,237,929,924,805,661,424,250,460,552,
035,871,781,717,081,377,481,577,285,636,251,631,843,183,778,431,816,950,369,
603,558,441,476,494,255,361,022,075,704,452,178,105,919,759,622,400,987,229,
676,634,419,715,988,600,953,646,803,800,266,740,984,823,228,492,926,439,098,
746,567,525,824,474,267,062,671,660,684,706,933,238,035,081,630,193,974,222,
394,395,115,402,203,338,109,403,212,056,930,993,636,409,162,779,859,137,262,
040,020,241,787,768,319,168,415,923,833,708,375,235,937,489,256,695,641,366,
635,591,755,177,316,552,737,580,368,494,620,069,672,154,739,212,173,461,125,
114,706,658,043,345,001,727,057,296,387,580,414,094,650,765,166,825,226,018,
354,189,589,544,475,583,684,327,221,578,919,428,379,352,327,796,868,939,894,
323,482,720,767,880,008,697,997,173,512,405,670,614,167,403,919,417,976,309,
962,138,834,961,481,383,617,279,910,545,991,105,034,806,114,062,718,119,321,
296,733,494,547,450,851,703,528,014,122,797,990,788,571,182,455,046,801,355,
816,088,551,318,763,150,207,942,721,745,090,435,131,389,734,993,580,878,153,
944,672,574,703,825,069,648,316,192,766,886,569,918,143,208,798,454,380,866,
898,105,306,248,546,545,882,001,465,075,370,572,989,002,774,444,756,156,090,
666,805,634,529,223,086,874,484,251,939,429,505,028,938,448,858,691,154,126,
792,562,035,771,773,910,696,627,381,041,260,794,724,315,952,361,261,723,816,
859,160,416,191,079,892,912,745,733,204,938,506,536,628,275,746,587,005,500,
856,956,187,310,180,263,730,353,244,544,699,547,934,362,740,408,521,568,388,
493,360,019,188,764,522,644,698,667,431,803,731,678,579,963,294,311,141,633,
258,249,810,726,250,439,167,852,626,987,069,949,391,345,837,809,544,546,557,
390,604,745,062,314,013,043,212,631,772,075,084,802,424,029,059,206,655,493,
632,352,176,474,708,110,845,335,980,745,141,948,777,662,873,253,019,479,955,
063,532,085,056,376,259,900,694,730,621,802,143,377,825,508,402,396,084,238,
846,891,177,654,886,333,884,189,893,925,062,975,730,231,618,954,261,668,243,
866,958,303,930,894,522,256,930,930,391,739,874,581,305,540,004,079,279,907,
330,903,716,357,135,066,668,561,643,318,824,717,305,352,380,742,801,080,695,
801,734,108,759,188,405,823,358,786,313,534,318,191,501,987,105,418,944,626,
488,772,852,636,368,912,608,716,660,522,050,492,623,192,404,614,762,700,986,
820,637,913,156,124,843,947,312,129,430,746,779,566,554,107,270,816,003,336,
282,706,689,747,639,419,468,372,301,204,710,418,094,292,938,598,296,535,576,
659,297,970,049,003,033,655,761,761,207,270,236,599,401,144,690,051,229,354,
507,897,093,140,609,881,663,677,155,424,782,237,127,758,626,932,801,248,443,
816,960,118,397,290,590,729,304,178,867,827,016,920,005,769,228,067,020,233,
966,705,274,427,407,752,169,576,514,678,008,031,806,056,628,694,486,075,403,
968,345,678,084,679,791,751,566,351,545,237,908,100,355,541,162,967,614,817,
681,395,438,090,710,782,517,922,429,081,566,623,398,812,743,337,472,732,100,
167,734,995,841,104,077,854,980,018,072,333,735,896,695,876,214,786,820,645,
694,446,810,031,651,930,354,469,709,933,513,609,890,904,188,447,266,173,852,
945,997,239,217,573,517,913,804,818,774,080,661,563,862,589,043,731,169,378,
746,713,298,910,671,492,546,223,542,932,339,326,212,722,494,602,245,077,292,
649,089,476,505,944,901,237,000,134,341,160,645,848,300,293,013,014,075,825,
673,436,976,987,298,002,612,941,460,366,192,113,251,851,061,632,656,833,241,
230,484,125,808,624,156,310,252,170,708,115,253,940,285,717,613,208,901,165,
823,258,173,549,632,977,845,848,909,930,193,461,503,411,111,015,738,304,164,
775,054,487,650,340,867,357,753,230,333,760,913,423,726,615,052,051,023,095,
135,976,978,751,325,190,530,635,741,701,887,555,737,969,659,583,271,437,121,
462,811,278,074,940,102,762,987,735,227,904,151,126,947,600,215,888,407,756,
890,595,951,090,061,514,398,771,922,201,715,093,662,662,430,589,541,548,113,
611,869,172,097,276,048,311,151,800,354,150,399,719,806,361,626,694,453,997,
809,174,108,766,507,029,917,232,649,137,985,842,278,276,149,822,196,588,186,
719,934,812,670,599,329,943,263,327,150,710,036,107,014,882,040,215,039,466,
982,826,833,851,066,520,423,667,431,291,834,918,251,002,543,909,903,771,187,
863,793,534,990,021,978,559,646,033,419,939,351,179,382,120,363,697,010,894,
778,091,262,472,741,680,996,478,156,166,518,928,391,516,047,530,269,475,193,
810,293,617,589,565,715,843,984,019,613,206,777,599,415,838,388,218,888,916,
156,022,396,220,474,677,859,008,373,865,221,426,860,142,978,389,521,411,509,
439,121,740,902,769,731,521,658,629,198,845,924,803,193,271,756,843,781,419,
747,474,057,568,305,587,655,767,033,173,889,030,946,274,153,355,719,218,933,
722,825,029,666,199,533,410,312,795,953,261,771,871,293,773,722,187,284,236,
850,474,578,206,613,780,853,091,839,679,288,720,526,003,420,946,658,109,521,
502,906,737,261,029,211,142,006,127,696,456,889,438,414,634,836,207,294,385,
391,290,661,152,388,842,959,807,317,479,343,507,597,189,106,439,534,078,500,
022,978,667,810,707,706,154,913,229,734,493,101,957,029,380,474,866,429,958,
479,733,525,062,191,329,400,137,316,397,511,968,061,378,531,406,441,695,408,
616,078,210,976,087,675,410,451,122,963,204,319,553,429,855,069,783,652,744,
954,519,921,430,873,703,342,021,921,746,286,155,273,782,016,591,835,172,891,
411,316,974,898,127,406,331,025,369,070,081,470,457,422,468,632,077,338,811,
226,053,605,875,020,390,730,278,882,492,031,743,693,401,664,537,019,414,719,
762,152,487,913,303,810,573,483,154,100,530,671,583,394,247,203,045,247,758,
922,345,451,915,849,387,225,513,640,534,221,299,740,133,662,982,944,687,211,
309,166,524,871,535,596,987,415,180,006,566,605,653,613,466,972,226,078,862,
984,260,061,934,721,099,282,560,986,474,208,627,984,011,215,393,961,441,144,
814,552,384,963,172,140,675,380,477,349,171,248,385,027,760,744,662,568,320,
856,128,859,847,376,093,175,244,343,741,345,819,281,901,102,392,287,371,851,
569,785,678,404,882,749,020,143,223,897,042,085,482,671,211,687,267,017,084,
721,983,775,595,414,270,962,279,880,847,287,836,185,621,009,959,377,319,062,
649,222,400,362,851,681,022,964,434,073,848,825,068,502,770,104,039,598,516,
560,816,181,366,164,409,368,894,644,699,518,332,342,626,069,355,110,764,840,
067,127,286,404,880,843,885,594,282,387,490,858,334,230,513,058,594,800,900,
524,046,653,883,658,928,093,417,880,008,410,615,928,704,406,964,840,783,389,
131,764,321,046,928,034,950,101,015,089,388,111,215,903,118,460,000,224,155,
115,279,043,669,926,874,096,357,962,248,384,543,362,230,233,576,938,210,581,
641,585,588,638,009,139,073,499,620,190,526,830,441,004,211,977,159,193,661,
642,406,893,547,597,652,134,688,489,953,306,864,866,333,903,165,917,363,971,
588,281,539,076,663,053,774,798,998,480,584,081,944,854,158,633,133,095,068,
106,868,288,080,789,914,981,219,460,789,102,765,712,460,481,512,211,508,199,
630,571,370,788,969,420,347,444,506,611,666,410,616,561,035,649,052,499,729,
284,468,029,233,778,170,489,543,627,643,442,677,103,716,626,917,895,167,924,
787,331,086,325,103,430,028,385,264,885,611,489,212,614,283,484,684,199,998,
028,841,304,626,931,745,696,131,808,153,281,759,474,821,947,976,689,960,752,
092,391,235,154,136,645,431,288,095,910,214,725,093,063,623,895,900,217,887,
958,009,297,978,589,699,220,482,300,762,014,971,494,257,296,204,711,008,792,
976,487,002,422,544,653,686,474,326,758,015,742,173,405,327,695,875,991,790,
014,358,446,575,573,698,346,281,172,505,451,746,246,920,897,601,031,418,388,
034,356,590,956,785,061,627,984,652,654,324,836,795,015,386,100,792,966,678,
714,774,128,976,849,339,523,932,541,592,511,918,501,758,240,688,610,855,695,
065,635,721,659,313,995,799,939,651,276,420,896,242,873,050,555,173,722,248,
743,438,834,845,036,670,070,910,482,262,754,359,193,236,837,218,002,969,721,
357,682,712,119,710,820,626,230,396,610,281,506,941,370,711,466,394,486,498,
798,980,302,572,778,908,314,853,921,512,534,207,503,089,975,992,060,737,974,
908,909,502,086,320,928,341,954,577,102,878,182,679,597,344,456,063,541,282,
306,311,955,078,803,902,414,027,084,537,288,634,924,996,954,585,255,811,588,
226,317,539,808,922,596,181,092,324,428,931,361,920,237,961,794,922,499,880,
459,247,089,060,617,127,527,622,885,285,582,671,625,598,713,153,008,676,673,
400,291,870,082,605,025,315,306,242,745,325,825,010,799,778,057,949,461,422,
019,794,723,193,686,377,105,044,782,392,384,409,338,589,065,267,019,588,367,
481,200,067,349,945,415,677,488,782,714,737,716,434,159,299,480,803,249,519,
632,701,930,529,441,174,661,269,729,653,529,225,043,187,267,241,858,904,284,
177,478,658,835,931,958,770,420,051,521,631,325,157,512,134,283,346,875,854,
614,224,866,395,469,111,612,732,128,415,480,514,271,855,964,903,392,413,759,
862,026,819,077,251,510,986,963,479,231,744,916,978,983,043,335,153,217,218,
610,671,409,230,596,222,968,534,769,053,775,467,100,819,383,672,594,586,154,
798,881,619,955,173,955,409,316,737,265,463,763,126,306,904,558,905,164,644,
768,033,020,291,011,563,570,404,238,884,713,584,959,963,956,999,053,439,848,
793,925,651,982,935,045,093,468,485,375,569,753,684,062,432,140,464,295,713,
039,941,264,819,318,026,142,274,636,090,147,519,394,140,930,402,466,664,897,
663,484,295,023,103,198,198,098,131,781,416,392,665,503,213,177,911,418,723,
744,086,391,204,598,125,712,330,362,937,112,400,152,930,511,230,774,680,584,
778,999,795,193,892,431,868,434,486,615,714,786,693,796,565,369,689,660,366,
303,864,205,822,482,289,412,149,875,002,624,598,600,121,061,710,769,193,859,
942,241,487,374,806,892,875,375,016,264,903,241,497,646,225,920,779,965,252,
653,853,736,777,738,674,795,332,125,346,796,523,498,766,357,568,233,329,023,
797,664,976,463,808,221,878,267,681,897,248,609,346,973,401,614,413,570,043,
502,552,639,473,347,780,782,928,676,119,989,770,063,505,163,619,282,567,394,
815,467,910,484,975,815,881,772,427,059,989,072,826,930,240,193,393,172,006,
735,618,445,657,980,751,881,772,441,012,389,515,716,538,401,217,209,613,372,
967,375,970,801,622,923,264,399,863,868,387,588,887,460,061,357,384,881,994,
874,446,921,838,036,576,487,827,835,902,478,878,629,187,868,992,241,200,314,
143,255,909,983,132,731,261,509,294,845,121,734,191,198,763,001,418,050,689,
089,569,253,380,698,766,300,745,240,618,934,475,638,342,115,316,184,451,743,
911,286,828,968,022,609,096,334,417,789,158,927,493,907,761,724,450,347,070,
217,383,641,860,621,232,751,278,580,267,491,174,003,964,005,238,254,012,580,
030,923,895,032,953,551,950,898,497,819,160,814,417,227,069,016,652,395,581,
134,273,939,658,855,527,457,790,181,739,260,514,455,438,479,136,691,136,070,
372,088,883,776,472,321,452,960,442,931,727,360,921,957,455,295,153,060,654,
380,168,769,132,842,049,835,490,502,592,689,614,288,633,609,360,933,838,144,
161,817,708,442,060,455,624,555,630,520,334,497,921,116,296,714,616,574,412,
427,091,957,694,245,874,233,846,387,468,832,842,626,373,493,341,925,699,681,
702,832,172,565,341,851,912,362,954,870,722,278,952,839,313,166,285,892,931,
302,484,518,202,932,658,023,099,571,752,092,873,753,015,000,096,487,743,599,
855,328,754,026,713,146,734,418,857,019,615,295,226,160,599,311,482,080,678,
998,663,311,940,532,324,793,944,446,946,439,053,513,010,237,697,854,721,211,
572,862,777,275,581,586,115,458,373,128,819,548,427,094,128,634,472,157,714,
305,542,462,467,539,792,360,040,470,178,537,289,917,788,466,317,760,651,014,
058,647,861,405,970,237,266,157,463,809,845,427,279,473,370,595,277,160,372,
651,008,650,058,416,914,024,281,184,237,459,092,402,394,237,517,441,715,996,
953,696,700,894,214,277,326,618,003,818,281,785,204,554,832,089,137,416,089,
945,809,007,432,276,734,458,287,329,140,074,979,063,361,786,088,724,362,295,
282,686,562,771,637,229,697,019,279,013,043,365,372,540,829,919,952,313,265,
209,178,732,352,631,344,754,310,510,063,257,713,704,614,842,993,704,958,489,
430,638,990,562,045,088,356,774,921,999,647,148,612,038,363,775,746,332,404,
194,378,595,730,467,929,133,493,558,913,198,865,489,079,297,393,392,371,095,
201,084,762,531,086,440,148,312,254,255,078,961,709,400,952,756,266,857,369,
254,064,822,723,262,327,996,702,836,781,491,692,246,222,471,245,777,487,724,
407,026,425,136,106,154,217,358,470,649,851,748,064,716,574,147,772,707,823,
831,880,279,389,142,990,152,672,000,969,028,866,613,883,325,705,782,251,122,
391,846,840,759,671,929,217,190,114,023,395,272,130,558,057,517,732,868,436,
533,453,545,626,802,008,834,239,752,187,474,545,297,967,982,687,597,185,307,
338,799,419,142,824,081,772,250,767,489,832,278,409,223,363,484,272,361,626,
467,790,276,596,343,418,478,796,032,620,524,828,154,068,801,341,463,260,569,
281,651,852,622,219,635,291,545,217,492,086,656,204,085,124,850,709,770,333,
472,749,182,624,580,435,673,407,216,580,985,178,002,186,569,476,239,393,766,
587,508,185,620,941,383,658,977,840,047,472,106,266,606,716,256,480,132,965,
538,804,618,096,026,717,424,414,910,488,322,386,069,300,438,034,478,793,751,
391,423,164,913,980,375,345,926,453,022,053,873,475,760,929,517,438,206,195,
317,144,380,332,980,006,181,622,310,036,386,100,263,527,484,931,268,474,242,
855,213,432,638,843,796,332,936,052,678,476,462,915,701,393,236,144,629,669,
900,009,078,896,949,210,113,438,564,433,497,915,963,709,782,141,505,171,685,
400,268,180,818,036,131,356,228,813,680,634,928,931,971,519,804,035,890,898,
777,846,095,055,494,987,851,647,806,973,935,286,826,044,628,078,777,292,672,
993,773,695,946,767,119,912,365,387,570,812,002,269,227,268,921,819,153,090,
478,112,157,044,931,469,672,256,060,614,564,892,231,458,099,436,154,102,369,
104,739,362,564,943,472,594,071,545,142,805,224,231,309,042,955,200,123,610,
287,946,269,093,852,968,698,618,720,669,563,117,338,869,368,027,865,689,586,
948,024,142,069,398,583,221,637,610,423,046,196,892,890,757,829,095,023,367,
016,838,885,784,195,372,407,646,624,269,056,418,276,100,932,711,213,346,063,
073,772,650,940,052,045,325,661,967,902,521,696,289,643,588,106,039,169,058,
178,100,707,878,596,072,188,037,561,673,664,640,942,453,781,545,844,863,930,
869,219,487,733,384,691,909,471,851,245,966,608,073,580,327,056,286,179,682,
908,383,290,422,042,653,166,018,020,339,781,037,636,335,407,370,041,005,706,
938,532,313,225,617,857,909,989,240,259,224,134,247,827,070,630,961,511,066,
212,522,417,151,135,409,677,138,769,090,346,463,466,324,029,797,160,314,737,
074,364,387,326,970,852,859,017,989,907,145,592,385,812,891,463,364,353,856,
233,484,142,892,849,049,751,843,571,529,878,454,683,206,177,373,583,531,045,
321,408,332,151,196,316,844,164,237,081,308,231,653,709,949,731,394,545,415,
492,653,865,753,763,318,094,727,528,378,891,638,895,336,288,331,906,911,129,
789,879,839,165,281,231,037,110,028,383,347,114,509,765,648,603,634,144,803,
001,370,971,454,562,093,886,112,941,101,013,376,112,987,822,534,992,790,699,
020,330,054,279,330,842,559,511,210,666,326,473,508,579,134,478,946,416,552,
408,411,631,565,327,623,894,403,456,407,419,793,957,329,651,671,847,060,184,
681,384,491,597,555,279,578,698,849,813,972,398,193,587,554,954,418,614,573,
770,246,104,107,053,643,412,323,727,568,853,010,670,132,586,146,804,556,149,
069,657,367,841,445,051,682,035,444,344,399,290,074,682,713,567,043,306,654,
234,971,913,479,799,003,038,784,544,026,877,791,221,696,871,990,689,408,495,
453,099,851,646,855,255,906,965,352,457,018,179,093,227,169,963,833,177,590,
794,590,126,274,954,913,293,505,587,522,187,549,350,125,708,536,128,088,045,
886,912,480,745,796,234,488,802,883,090,339,807,549,429,999,409,479,321,290,
635,523,803,362,840,041,379,442,948,445,342,487,730,221,947,584,874,000,562,
355,091,627,471,659,011,297,086,664,444,204,617,727,605,350,704,298,422,036,
204,916,703,500,158,509,508,876,665,773,842,033,674,509,670,010,460,113,054,
756,606,135,965,099,923,124,736,326,194,043,239,877,202,846,821,562,347,588,
130,256,162,557,842,714,521,869,154,478,431,655,759,171,256,084,614,485,425,
427,403,448,863,277,109,071,243,198,389,980,853,685,565,680,846,669,104,561,
913,776,390,474,662,439,820,375,874,983,364,474,754,727,713,391,690,653,566,
972,549,545,702,906,737,510,643,366,796,698,401,072,006,033,783,434,207,297,
097,421,604,879,214,507,619,580,244,062,322,100,175,779,475,809,689,076,437,
956,100,249,538,975,518,891,409,435,083,253,742,196,271,423,635,512,685,278,
719,699,574,314,166,495,121,885,808,553,123,200,827,812,360,746,811,034,150,
494,367,908,254,121,194,522,204,860,267,466,062,688,225,579,292,872,070,273,
334,413,041,836,134,519,587,585,801,005,602,834,718,214,416,754,795,652,259,
304,425,388,766,525,031,078,394,858,709,771,865,896,226,444,233,900,819,795,
470,925,709,505,884,218,448,714,531,122,858,445,258,178,731,764,702,461,455,
798,685,794,834,778,239,484,529,410,291,002,425,613,499,737,382,007,919,170,
453,476,081,360,920,377,435,220,383,701,613,869,462,144,661,274,155,568,566,
743,664,312,355,623,656,518,629,475,048,241,151,454,518,532,220,848,230,477,
796,608,170,136,007,415,857,885,070,888,920,480,036,927,476,728,498,119,809,
595,603,219,646,146,090,730,832,213,563,351,578,885,078,987,267,141,697,471,
374,033,402,362,826,206,592,576,435,890,553,246,771,585,663,872,835,431,838,
448,028,643,946,076,612,663,880,283,918,766,143,338,470,305,610,143,203,843,
891,701,314,808,435,853,159,792,798,681,725,585,195,213,660,612,541,956,854,
112,134,697,856,538,666,402,306,305,358,083,720,524,852,239,122,395,838,823,
114,491,042,469,961,033,708,251,096,403,508,002,579,739,703,645,441,934,663,
089,374,990,546,052,351,601,733,141,379,509,319,492,475,797,928,292,554,767,
122,266,487,473,810,711,792,829,067,618,930,191,909,931,781,543,816,227,888,
371,015,817,995,089,352,089,493,872,006,105,224,025,883,187,921,746,497,264,
474,611,308,541,507,141,551,686,172,464,157,761,123,469,223,004,902,370,695,
757,349,850,730,976,494,225,878,702,605,075,952,054,122,844,811,111,153,651,
456,636,585,936,564,472,326,931,374,713,014,501,796,491,973,504,228,538,157,
563,466,025,782,352,942,212,553,778,355,457,214,212,754,758,337,930,078,734,
533,292,362,299,561,778,220,308,410,307,944,941,374,538,999,660,809,076,537,
690,209,915,518,939,068,584,809,492,067,760,310,037,959,167,567,857,077,434,
953,379,982,343,354,094,289,703,489,845,298,111,330,873,771,881,305,843,720,
047,289,480,007,393,904,905,521,156,048,939,823,266,394,764,873,676,663,127,
403,493,821,269,269,922,965,835,878,082,556,940,505,498,348,081,561,238,912,
097,960,860,336,693,297,964,758,060,400,942,217,289,280,455,675,192,851,021,
520,022,004,692,300,818,398,080,579,618,855,023,455,745,187,244,706,579,830,
591,650,611,114,441,181,942,681,796,202,017,158,726,974,250,595,885,137,095,
688,442,696,016,668,813,422,632,563,279,976,562,351,185,854,170,570,580,271,
667,077,095,275,247,378,025,311,442,226,084,760,959,405,181,141,088,407,743,
242,904,096,539,519,950,311,688,194,522,001,412,817,291,812,207,127,522,865,
417,363,041,270,748,096,483,628,136,865,833,210,131,654,045,261,105,162,095,
508,768,997,406,912,201,798,216,870,586,100,630,799,712,937,846,498,845,610,
712,870,089,990,196,495,045,880,459,613,093,298,237,402,525,721,182,287,522,
286,488,273,428,711,624,723,285,492,554,835,951,713,597,365,119,665,212,380,
241,960,231,077,648,970,829,677,101,750,570,944,131,558,791,412,095,580,084,
630,810,386,814,725,557,190,708,903,871,117,741,473,609,777,655,789,317,307,
595,726,847,765,600,091,248,453,272,851,377,085,052,267,280,510,050,052,375,
622,324,150,273,423,958,424,492,633,251,993,533,974,029,823,127,891,631,704,
172,250,894,957,153,992,518,945,353,083,624,170,423,416,386,463,332,535,496,
728,676,600,241,766,364,406,909,792,025,691,320,823,363,024,101,119,837,259,
952,207,495,556,029,905,288,483,309,154,923,831,329,311,375,171,909,030,982,
906,539,352,769,132,987,232,116,104,160,946,609,315,745,361,888,803,261,735,
274,713,413,251,661,821,419,007,117,227,950,781,946,311,450,195,427,915,693,
885,078,474,845,071,093,703,455,057,960,002,368,601,588,876,566,057,957,937,
776,977,941,246,339,395,425,738,487,235,667,073,936,508,722,520,312,071,989,
891,926,369,624,392,900,889,664,140,055,999,522,884,959,537,038,038,073,181,
572,363,544,620,225,528,346,419,020,766,833,295,066,573,917,054,729,069,309,
126,389,990,233,205,312,336,147,171,726,158,752,357,819,087,863,351,097,347,
586,793,988,960,996,287,502,649,408,454,832,569,136,782,682,658,329,968,979,
337,953,672,995,384,638,496,808,785,828,779,310,640,568,903,897,673,596,331,
470,800,556,509,042,758,638,910,841,950,595,584,881,311,524,614,220,707,829,
122,667,274,945,100,355,353,766,870,189,095,638,936,844,676,564,938,014,649,
195,502,672,466,546,268,868,223,469,977,260,716,282,444,280,826,570,732,933,
196,593,319,844,168,024,781,151,607,354,117,036,720,658,263,427,191,237,497,
939,429,685,168,032,400,220,512,391,536,059,361,834,681,232,965,340,411,977,
676,879,431,937,129,788,170,748,268,394,784,343,693,939,993,528,713,041,948,
808,956,036,199,959,409,757,127,197,888,458,178,963,013,758,995,606,816,824,
506,672,694,849,393,114,708,130,103,436,531,721,718,138,221,205,772,557,487,
789,997,499,096,557,102,002,076,716,513,238,953,992,786,747,789,308,569,422,
276,384,986,664,957,383,152,911,053,755,555,633,797,291,280,063,920,658,191,
202,690,826,056,053,120,366,059,917,832,963,724,643,015,318,386,299,711,594,
330,286,698,805,945,475,193,266,024,587,163,680,524,626,926,856,555,332,100,
259,115,156,777,627,971,587,386,730,622,012,994,718,925,440,707,409,008,389,
430,136,893,256,784,685,340,106,134,900,374,612,473,193,936,895,141,682,054,
007,892,097,071,202,225,747,758,320,783,671,014,271,497,412,203,815,026,848,
411,133,127,147,801,440,595,740,008,037,250,321,156,025,424,448,660,259,799,
194,901,623,699,303,655,486,116,776,388,447,410,543,946,413,286,356,467,099,
441,947,168,993,060,405,941,541,143,879,034,178,186,287,581,840,279,460,463,
250,564,134,183,638,793,494,823,988,953,224,957,078,678,038,078,892,780,641,
106,770,058,956,442,365,745,593,118,579,565,508,561,342,050,137,308,562,366,
344,939,919,474,007,398,495,614,811,638,914,980,781,026,452,430,092,844,062,
111,993,686,186,108,112,278,304,988,454,386,923,713,235,260,041,130,450,446,
461,455,363,289,133,442,873,460,499,775,182,032,298,982,780,381,807,333,690,
709,442,555,445,912,050,871,718,712,856,325,552,811,481,055,581,421,686,184,
678,866,823,177,515,409,263,758,110,945,952,905,843,741,124,495,838,801,143,
788,460,004,602,899,394,638,675,635,388,981,866,439,052,674,895,169,734,921,
550,263,479,147,561,170,660,299,441,610,102,691,431,010,043,215,338,816,197,
128,043,052,200,623,193,376,581,006,174,466,025,745,364,283,485,663,485,930,
758,234,865,690,474,313,240,260,863,066,158,489,023,661,874,964,887,183,316,
276,630,356,628,416,404,416,823,265,029,397,885,154,627,047,722,269,233,840,
088,543,768,809,899,241,327,211,266,283,123,964,770,734,805,207,774,880,501,
878,918,059,709,399,430,454,608,904,773,753,462,050,089,727,594,019,201,607,
345,887,945,703,864,863,224,445,427,073,506,701,121,135,053,469,944,917,203,
073,067,684,378,375,537,340,327,899,775,949,983,328,125,170,483,679,046,687,
692,016,862,885,002,647,186,616,932,126,022,145,808,557,616,128,760,661,980,
756,017,344,624,787,883,639,676,197,028,319,582,310,553,724,645,351,675,908,
021,259,616,264,710,427,528,688,182,985,361,867,344,513,753,148,359,290,096,
863,447,641,945,594,059,281,335,788,570,575,528,871,805,018,601,914,317,946,
209,528,438,347,065,861,736,843,996,192,791,640,692,826,481,645,568,511,763,
959,356,329,274,574,630,649,235,976,567,894,569,774,351,213,392,817,217,488,
052,005,339,423,972,170,035,471,690,631,245,055,601,508,167,538,635,046,589,
583,626,165,575,292,096,193,310,432,033,821,238,693,638,915,684,926,404,030,
715,223,957,644,028,532,180,914,131,578,900,517,631,479,026,847,812,161,486,
261,240,793,888,739,656,658,390,360,573,528,033,050,518,875,120,710,005,038,
792,155,378,499,272,096,126,070,034,614,982,718,691,037,277,616,424,112,957,
339,747,865,533,504,576,401,358,661,469,340,868,404,140,941,759,411,047,940,
247,202,738,498,058,182,262,316,478,296,509,686,582,643,058,404,120,758,986,
269,714,707,488,116,640,228,332,795,326,745,386,353,371,956,625,889,665,347,
306,495,158,361,586,371,730,766,967,988,726,724,588,704,500,325,695,516,281,
030,483,227,669,087,725,747,760,904,706,998,557,235,909,250,309,470,652,261,
095,527,132,079,685,402,698,883,605,552,476,295,741,662,023,839,834,448,345,
429,018,743,175,941,146,336,053,119,895,067,149,288,998,988,758,230,992,538,
240,811,689,146,011,778,933,941,488,512,881,905,033,485,271,415,394,204,439,
637,598,390,309,770,123,304,054,171,818,269,366,326,680,179,005,087,488,079,
775,649,331,634,586,985,587,894,568,836,718,033,406,043,504,216,842,514,902,
761,375,523,412,140,021,064,740,204,668,289,147,282,602,249,099,464,012,743,
442,914,573,236,667,683,341,213,991,591,122,616,413,647,318,430,547,911,130,
977,638,287,574,279,209,031,144,284,590,859,473,835,814,190,275,917,598,825,
871,521,357,429,775,953,981,173,902,493,405,594,729,031,620,078,681,085,191,
010,829,822,931,281,492,191,293,996,154,056,178,981,292,832,199,660,263,957,
770,573,101,999,764,799,784,183,837,004,692,059,082,768,759,942,951,091,918,
056,438,821,072,260,717,893,795,631,851,427,831,925,811,214,283,385,866,296,
409,982,273,566,603,202,725,389,864,796,896,836,688,415,810,698,893,704,847,
747,396,380,605,651,168,326,942,919,157,575,869,502,098,169,202,802,056,702,
441,075,149,280,221,073,504,795,307,347,749,274,481,028,926,608,764,372,122,
647,223,749,402,399,687,689,135,948,305,184,362,640,954,918,022,887,108,453,
020,884,074,179,421,169,696,389,683,355,323,898,614,735,376,439,487,721,109,
025,078,834,014,154,775,774,158,281,622,854,679,272,270,110,630,671,812,958,
136,373,154,925,513,067,508,262,144,364,548,385,979,725,737,085,126,695,802,
582,488,261,957,915,208,963,355,450,805,114,034,402,659,572,267,053,241,332,
808,297,974,265,597,305,757,411,662,269,187,745,031,284,942,517,416,708,518,
423,984,910,918,196,109,043,184,705,066,048,079,558,819,109,915,684,571,092,
453,155,075,431,719,340,973,480,258,845,335,700,722,174,709,534,141,475,586,
980,273,094,273,668,708,770,520,547,681,809,420,372,651,682,990,955,019,285,
700,946,116,017,866,629,946,588,410,435,746,045,405,533,482,269,215,001,633,
312,086,479,937,390,377,278,348,413,522,947,746,794,965,471,610,182,799,507,
873,472,091,181,421,367,489,890,565,361,256,964,132,130,492,735,674,396,477,
565,949,365,403,723,071,847,204,608,368,122,100,133,231,182,648,366,020,784,
973,137,356,756,237,235,006,063,921,649,713,959,774,890,662,594,957,639,067,
208,148,348,512,473,089,281,507,939,446,514,490,108,784,203,238,291,847,862,
690,443,893,518,849,632,949,810,402,904,745,387,046,398,224,006,028,226,783,
356,847,407,640,300,568,450,245,772,052,035,772,120,734,905,200,259,745,442,
679,939,807,130,798,601,190,278,162,859,815,056,668,318,926,999,725,990,392,
272,695,424,733,191,615,949,302,724,009,091,617,733,753,356,810,984,726,651,
076,454,929,260,620,410,505,627,080,550,440,629,355,871,551,517,320,634,545,
491,910,742,100,012,292,294,804,528,709,929,914,355,613,389,861,574,510,051,
850,747,671,118,938,150,388,062,657,601,739,643,037,462,345,936,944,318,069,
663,410,963,374,114,019,596,153,544,969,842,050,340,612,582,433,394,810,512,
024,470,490,479,664,355,706,341,738,047,244,951,518,873,380,084,188,501,309,
661,273,009,710,156,358,127,572,645,277,704,369,736,904,763,680,429,778,774,
872,684,970,450,853,332,806,252,618,213,203,879,991,563,224,807,379,090,883,
144,202,991,234,848,321,027,408,048,716,403,715,439,598,875,362,376,181,886,
356,485,860,335,301,096,646,966,070,753,908,276,970,704,148,937,166,337,258,
272,235,430,468,544,191,871,990,216,555,227,189,260,676,180,957,909,162,025,
018,779,419,440,428,202,717,818,952,179,749,171,105,712,679,738,560,943,199,
572,210,749,044,700,164,920,491,341,968,990,360,272,395,875,489,399,926,432,
975,378,177,749,059,513,946,230,401,448,816,353,514,135,974,352,374,319,729,
070,284,959,137,476,085,676,652,072,954,448,455,096,489,641,087,065,537,812,
404,867,089,051,182,089,310,498,075,741,132,538,519,348,963,744,044,544,809,
947,144,559,404,241,117,652,388,311,424,799,777,013,883,001,328,359,804,942,
063,096,327,262,126,847,467,651,697,730,780,765,900,575,079,513,693,341,108,
983,535,151,884,686,517,111,191,130,844,778,580,085,578,841,825,496,241,470,
951,749,989,930,615,918,409,231,205,266,049,970,458,262,990,696,379,063,465,
936,915,694,536,015,646,917,165,526,766,723,626,278,099,314,316,017,074,810,
611,174,479,190,564,213,763,945,689,529,048,316,519,697,082,264,562,602,180,
315,371,169,736,534,628,641,002,561,528,527,803,383,468,087,687,806,075,399,
477,223,357,732,243,033,318,969,996,464,074,592,329,681,248,098,370,909,276,
805,214,748,899,257,199,090,193,973,551,973,146,901,533,472,825,320,637,114,
771,318,566,690,789,163,249,576,034,652,200,689,255,778,127,467,659,986,867,
582,505,190,465,081,685,020,033,432,750,656,253,828,854,559,763,478,542,276,
709,952,573,206,454,289,926,188,876,149,974,824,333,044,512,491,881,743,743,
757,646,513,399,347,711,082,779,884,113,642,526,939,830,981,428,469,004,956,
594,965,647,935,863,466,038,344,914,012,283,862,182,057,255,314,840,659,173,
308,796,755,492,103,679,476,232,892,561,985,519,625,856,788,310,163,232,629,
951,550,173,717,051,884,074,379,116,828,351,690,535,586,520,581,483,314,038,
668,333,295,093,592,654,502,063,760,406,495,106,565,707,562,488,868,181,997,
082,156,260,361,354,214,641,548,036,247,645,933,017,167,917,036,415,487,623,
741,362,336,252,282,659,483,919,221,100,511,156,988,331,814,100,121,437,115,
428,186,710,136,872,616,083,493,511,815,794,457,226,341,173,467,608,261,986,
642,317,054,447,613,731,770,803,007,709,908,248,290,528,520,773,914,660,476,
072,101,863,087,902,895,671,231,707,759,623,887,882,908,499,128,239,679,808,
526,325,080,900,310,731,357,593,569,602,660,187,580,161,570,892,378,353,947,
403,072,047,291,488,756,932,901,228,174,459,035,408,274,041,078,711,947,967,
339,434,094,233,020,173,329,791,095,903,786,409,020,120,067,755,062,303,093,
429,993,199,240,408,921,822,087,851,950,051,061,661,919,771,527,743,829,822,
836,904,061,116,797,343,653,944,491,506,717,591,838,660,754,998,024,083,711,
365,029,266,773,028,392,545,753,672,498,529,650,017,980,826,563,484,857,926,
342,029,083,722,806,575,985,710,529,941,580,782,879,207,021,583,929,307,817,
193,482,314,340,815,768,703,885,541,285,037,019,439,366,737,074,531,724,264,
569,040,118,067,076,773,517,292,167,797,966,009,260,488,508,021,179,145,254,
307,905,030,692,732,974,994,572,631,028,501,862,077,638,186,983,266,498,675,
851,055,605,908,811,337,678,500,607,202,051,407,718,572,540,801,570,660,507,
904,171,675,568,352,946,122,188,302,200,857,116,664,348,334,132,162,031,337,
286,327,294,716,039,461,785,844,949,639,698,075,162,186,119,767,390,802,736,
153,995,504,581,460,373,895,569,938,879,265,569,794,554,447,658,657,618,435,
638,922,254,654,757,005,316,533,224,553,325,573,278,273,698,617,170,880,735,
492,936,821,604,936,819,180,527,537,718,983,512,092,970,008,220,078,947,852,
324,520,913,194,012,003,820,503,243,954,867,969,185,598,708,001,857,749,463,
151,079,351,432,846,993,780,729,603,509,915,905,943,176,191,393,380,664,185,
773,735,860,479,474,840,825,411,362,865,634,547,758,715,741,502,219,427,251,
910,502,340,177,893,545,747,968,944,225,327,656,792,597,750,108,174,973,900,
706,869,421,458,079,008,510,288,072,052,816,126,975,365,707,362,397,050,887,
872,102,130,688,248,624,153,396,889,780,174,957,681,933,685,744,347,609,128,
102,054,839,612,831,580,715,123,557,286,308,305,948,138,379,079,357,966,930,
455,418,812,563,025,034,986,463,927,635,721,922,688,350,075,057,067,847,402,
336,055,899,542,302,854,405,795,117,524,823,852,365,086,376,057,262,494,312,
538,905,708,191,179,794,410,665,921,359,712,610,830,804,040,456,876,217,686,
506,685,609,797,973,142,932,634,088,657,913,178,751,280,014,838,618,429,006,
109,484,286,079,243,981,218,731,373,893,484,887,217,741,803,390,594,572,756,
353,393,582,879,574,974,771,084,451,203,837,223,000,214,480,324,774,744,501,
831,538,839,576,559,579,086,290,655,715,428,282,866,807,002,810,852,345,182,
569,996,810,153,064,907,181,995,512,177,074,465,490,990,931,113,654,027,141,
503,471,593,052,048,624,606,058,075,151,171,962,918,485,034,042,027,842,267,
758,481,540,325,355,775,231,901,207,909,179,568,159,052,463,419,888,617,479,
867,942,439,225,929,411,042,362,380,150,971,065,494,424,300,001,035,428,542,
491,952,031,168,834,773,783,452,602,556,341,683,799,186,071,644,540,051,886,
796,503,392,451,302,341,193,387,849,724,388,593,609,221,060,396,374,530,072,
827,277,160,851,536,812,790,663,996,409,726,247,236,342,591,550,599,346,180,
467,706,443,381,928,228,801,706,242,694,688,523,733,917,084,528,260,002,568,
878,119,673,168,888,056,912,718,555,349,979,421,345,539,716,268,767,849,272,
566,073,586,296,867,323,883,119,794,300,043,409,745,179,469,487,504,143,952,
419,343,130,454,799,988,258,603,575,560,915,473,909,542,735,726,748,323,832,
801,593,034,008,696,450,434,762,450,084,517,415,819,795,534,931,225,571,742,
243,575,247,637,603,017,032,745,369,044,929,394,981,011,445,367,727,360,245,
974,953,403,732,067,839,034,816,227,512,520,632,776,462,155,903,936,504,446,
133,809,741,986,402,276,919,966,498,214,608,137,691,082,888,479,157,704,476,
873,017,890,362,969,712,762,758,442,052,029,073,005,612,254,060,482,109,292,
540,625,284,769,874,989,070,150,873,770,102,181,921,685,702,778,046,111,170,
594,469,724,236,754,230,121,409,286,770,654,787,037,531,221,500,153,413,198,
138,124,497,813,264,278,737,636,494,982,837,226,733,031,890,840,369,697,674,
887,258,394,599,990,141,975,976,969,414,833,623,662,411,984,259,222,622,496,
751,156,822,784,264,514,071,815,800,447,975,238,098,804,712,533,556,283,645,
934,397,153,794,548,535,921,368,987,064,455,024,542,588,837,191,212,498,488,
303,099,067,894,010,875,948,014,716,594,415,953,030,028,729,132,883,223,559,
837,384,995,764,797,279,971,774,605,639,821,926,745,117,755,100,039,942,180,
842,364,930,755,374,348,277,696,047,600,180,072,828,625,496,063,554,914,611,
635,519,097,506,047,412,489,662,623,049,670,468,858,662,004,857,423,477,314,
572,191,009,281,082,463,117,713,948,600,472,152,239,738,758,915,557,152,824,
154,613,461,292,341,421,667,542,595,485,578,841,967,868,585,629,596,568,565,
509,086,594,734,084,917,385,580,643,069,721,264,973,264,410,413,636,372,844,
348,607,553,324,045,826,687,774,912,808,869,360,817,655,505,169,499,586,399,
840,508,706,590,237,018,982,831,150,435,433,072,622,951,186,418,137,331,580,
021,959,189,339,759,945,634,802,577,747,015,009,050,233,412,110,714,514,795,
916,642,260,522,398,571,490,048,177,316,811,332,145,106,520,539,883,479,621,
034,679,713,345,021,879,908,840,395,067,385,048,982,435,123,270,024,926,422,
327,168,516,072,662,727,944,665,850,668,863,210,926,614,942,296,776,272,056,
781,247,699,666,187,261,940,603,455,678,819,188,170,128,193,941,244,269,775,
251,242,836,200,082,463,358,418,055,109,316,183,862,559,448,541,742,650,801,
150,012,313,205,543,631,996,225,621,904,105,809,687,664,070,904,650,648,269,
784,437,077,878,440,907,965,546,978,753,792,306,082,200,212,775,976,950,952,
249,547,148,105,081,967,283,289,222,495,566,231,575,352,200,059,429,460,002,
091,266,103,549,753,917,971,583,198,490,686,572,004,263,484,011,146,081,976,
752,769,632,619,330,209,578,333,890,780,728,087,434,787,288,435,654,382,363,
810,646,019,352,333,070,572,799,692,335,583,719,931,742,973,167,154,709,723,
438,282,120,255,919,753,804,239,949,900,374,282,146,512,655,417,877,964,921,
440,524,089,407,549,912,642,098,012,615,684,486,298,319,405,223,838,427,079,
226,486,306,719,122,153,964,150,228,910,942,260,676,565,107,616,412,848,603,
192,537,539,700,067,555,481,030,998,497,835,511,244,691,856,435,084,730,106,
454,579,451,736,164,649,725,007,474,508,642,956,642,657,334,666,791,397,569,
917,419,738,766,705,357,836,951,401,156,526,439,231,842,871,345,908,110,237,
807,479,464,541,775,780,405,805,277,188,005,504,614,838,842,990,245,988,560,
853,770,078,904,686,950,040,020,744,442,397,451,589,568,982,543,925,259,851,
238,097,408,874,132,364,034,528,123,693,393,898,643,975,048,363,613,245,804,
258,212,379,665,523,218,520,878,407,686,314,030,257,216,089,719,175,365,805,
622,597,879,928,255,108,183,421,959,379,662,705,262,166,736,040,826,285,562,
801,050,691,486,804,426,754,353,595,023,399,642,470,272,535,455,146,967,222,
330,774,383,886,690,976,219,103,536,338,086,055,544,340,546,398,056,435,549,
972,387,015,165,676,150,135,454,586,021,035,395,124,921,615,319,449,817,452,
357,125,505,862,073,782,460,452,702,984,578,784,100,999,455,650,299,921,969,
065,312,149,421,196,810,999,409,801,255,992,300,762,222,121,116,143,981,698,
482,333,156,374,386,068,874,325,220,952,784,522,842,529,089,764,588,021,498,
406,860,246,655,713,068,864,863,438,991,150,502,652,373,493,487,132,728,842,
853,906,182,709,604,879,887,473,959,105,562,457,597,776,539,622,505,470,855,
452,149,369,225,328,905,944,250,993,438,000,546,875,515,522,472,368,329,451,
925,932,858,637,063,033,351,389,707,801,604,989,386,073,899,589,375,160,329,
093,622,077,950,604,964,524,022,025,764,033,849,313,990,397,330,727,247,306,
252,368,066,273,469,665,336,948,610,567,782,244,362,206,437,208,938,510,012,
057,632,226,658,354,313,660,124,493,434,044,319,122,834,546,167,241,240,864,
732,174,796,341,001,399,344,549,776,432,828,408,036,382,033,284,184,550,990,
029,294,289,483,373,855,893,412,889,220,540,584,913,890,138,607,035,542,201,
859,679,979,414,594,916,367,427,236,785,280,820,081,341,610,153,381,749,990,
087,462,292,382,462,345,326,793,581,043,724,242,584,614,239,759,497,948,460,
118,010,796,718,700,875,808,573,650,706,572,745,692,535,262,153,132,374,005,
270,787,454,635,018,919,346,355,239,454,683,618,689,029,165,043,469,033,116,
927,559,582,037,521,061,257,797,823,088,231,095,394,584,517,719,895,749,286,
454,574,547,351,433,328,548,661,797,443,839,451,569,167,166,638,969,319,591,
811,815,659,543,443,970,428,904,537,390,717,524,625,614,990,996,855,011,064,
788,560,843,540,477,592,172,583,497,827,871,543,906,252,305,820,619,331,163,
636,750,585,879,880,892,174,990,915,908,948,253,073,729,624,592,545,828,217,
523,805,739,053,898,068,490,885,243,921,255,103,762,011,783,947,152,752,080,
857,932,358,837,358,570,017,851,888,097,097,605,521,863,169,870,119,377,734,
968,891,032,590,309,133,161,570,108,795,321,777,052,854,454,218,266,722,374,
597,689,201,016,083,730,464,123,457,181,499,849,941,465,716,929,303,857,836,
675,202,318,974,424,221,257,759,017,056,183,577,035,076,596,744,445,654,624,
506,172,866,198,777,577,012,990,654,084,673,800,641,864,747,843,935,859,790,
762,365,993,331,692,237,755,028,573,527,946,403,063,127,080,050,279,801,879,
830,278,184,262,716,082,375,335,345,114,032,077,338,390,777,741,771,088,343,
648,568,126,010,023,151,483,564,201,199,080,214,043,713,743,120,666,907,837,
035,235,214,618,417,740,805,817,962,830,704,951,510,608,825,277,458,619,686,
719,644,061,501,317,226,071,585,548,306,039,315,446,258,397,534,920,817,294,
367,973,030,131,510,397,720,637,083,095,637,296,579,648,210,065,078,587,359,
558,766,965,829,325,660,032,755,075,736,438,976,975,137,956,622,898,993,502,
755,635,570,785,254,554,838,757,647,807,304,356,816,798,649,909,257,365,254,
873,774,002,893,260,265,432,301,275,695,932,326,202,712,181,579,427,742,079,
007,276,374,919,305,866,361,762,663,819,141,471,155,524,191,317,313,268,848,
599,759,835,677,093,553,261,809,273,704,551,733,067,245,509,385,459,998,447,
972,313,944,432,020,268,367,944,842,786,269,707,434,876,068,617,663,163,153,
324,420,041,491,725,562,898,678,375,244,413,369,505,104,566,388,777,202,106,
899,286,360,477,265,646,825,503,178,457,867,217,058,365,214,378,417,128,341,
873,265,483,659,343,446,984,112,941,298,609,157,023,899,979,807,811,642,829,
154,592,516,676,983,996,057,901,114,609,510,869,821,516,081,190,071,810,477,
741,360,990,881,403,464,071,008,129,737,084,233,689,822,249,998,030,518,104,
198,600,337,637,197,110,477,065,884,943,967,490,658,611,995,317,960,375,349,
650,892,639,555,404,296,830,244,560,911,920,530,855,228,815,526,503,575,646,
565,114,871,403,039,936,338,384,056,662,539,531,500,728,606,698,555,960,438,
767,181,222,964,923,453,596,793,571,575,130,951,941,790,169,674,675,606,543,
545,710,267,821,081,997,145,561,529,129,378,841,909,595,873,305,123,031,242,
680,718,020,457,157,269,695,535,216,810,212,513,609,642,324,005,195,243,983,
747,439,670,360,449,798,357,312,228,080,243,742,482,643,743,110,628,191,422,
251,778,447,029,548,377,727,664,638,737,742,912,468,295,895,615,173,073,901,
375,665,018,646,025,480,886,428,790,957,181,154,078,813,559,025,926,494,133,
589,591,610,709,163,347,500,862,665,716,612,226,590,258,183,897,412,318,741,
102,638,910,578,642,355,719,537,510,054,365,539,860,039,764,896,013,764,932,
492,330,389,972,620,510,775,953,882,333,375,322,480,782,133,869,548,021,233,
367,479,594,612,904,538,284,423,451,494,958,902,045,667,788,345,298,777,837,
519,334,502,023,984,738,307,837,999,135,692,282,130,402,068,567,679,627,503,
052,194,080,916,349,320,027,581,600,080,428,745,536,888,333,580,114,809,437,
133,644,159,826,757,496,138,175,632,618,390,322,045,399,562,551,377,818,685,
432,653,730,207,777,762,292,666,868,975,251,283,250,486,363,681,052,822,226,
857,436,760,466,131,148,015,774,252,772,814,581,372,260,292,858,923,492,030,
580,208,987,999,970,700,852,888,078,113,647,129,523,687,174,841,291,966,223,
249,391,085,044,761,110,084,595,219,163,375,084,727,534,274,052,115,507,360,
856,392,664,442,033,119,094,370,018,558,873,789,148,101,446,223,526,828,209,
362,160,636,935,226,867,484,335,475,086,438,042,317,719,590,866,343,292,407,
317,042,890,554,045,911,363,313,554,119,681,675,768,813,278,560,074,504,365,
878,390,525,311,458,312,844,799,825,368,138,806,137,521,078,086,113,165,182,
522,856,635,923,135,695,398,638,590,714,652,876,480,051,609,854,073,556,571,
285,158,188,143,702,590,810,506,634,143,492,737,861,181,634,537,727,667,213,
554,717,414,119,856,595,145,675,611,149,846,318,158,619,128,741,097,760,890,
293,522,978,984,214,372,652,829,945,732,062,315,577,645,361,655,447,475,576,
894,062,257,010,039,698,296,865,507,057,919,835,874,658,900,648,885,636,301,
631,753,826,069,498,364,624,370,961,790,815,940,854,788,935,765,136,319,562,
610,133,818,113,755,331,875,749,405,503,530,048,197,289,491,981,443,306,540,
414,028,739,771,520,326,177,937,718,339,991,480,862,280,826,732,847,841,372,
022,205,168,761,586,803,917,050,338,894,826,977,611,091,344,101,185,506,800,
236,533,956,861,229,026,102,241,959,973,544,277,492,153,921,535,965,252,359,
176,734,943,794,290,293,665,572,534,560,226,181,028,894,763,870,631,882,195,
334,566,884,754,204,676,614,187,062,210,339,071,331,623,188,647,318,496,983,
742,554,049,976,191,618,654,931,463,479,365,443,653,930,470,600,024,529,809,
105,811,704,007,662,961,424,657,077,759,514,402,703,504,489,104,042,379,932,
805,533,879,976,979,206,395,137,616,045,651,328,527,122,989,619,274,109,943,
409,535,225,527,506,229,590,307,496,085,565,632,010,361,614,261,089,371,864,
730,941,878,596,818,673,325,879,484,516,864,734,921,167,441,058,518,957,291,
628,046,136,755,916,935,048,959,262,885,290,129,883,285,896,649,575,260,860,
152,825,567,613,983,733,906,383,560,499,173,862,820,628,685,769,031,403,061,
551,541,429,018,158,616,058,122,784,378,175,122,990,999,235,976,616,939,644,
962,741,876,867,630,214,979,243,255,767,176,097,961,846,194,050,188,636,646,
390,233,880,101,890,626,139,013,110,333,889,483,076,848,273,277,801,266,914,
972,507,758,626,544,852,843,039,104,885,757,187,172,331,708,362,623,688,034,
012,246,645,502,947,894,384,811,759,738,976,396,753,406,206,207,507,045,079,
865,970,222,137,727,183,427,559,900,797,579,814,403,947,645,161,819,608,051,
312,523,701,952,366,642,271,376,694,161,887,874,456,997,588,296,708,634,134,
722,623,035,950,540,587,144,813,257,726,876,963,118,239,640,815,509,324,239,
577,612,780,213,348,891,198,690,913,019,843,910,332,518,089,378,273,559,159,
876,261,242,026,898,691,616,027,613,401,321,251,874,512,232,511,239,923,266,
118,410,389,848,911,070,670,226,217,705,050,144,841,360,619,412,119,927,090,
391,196,814,281,686,804,416,976,574,688,397,820,670,528,821,272,733,708,220,
679,455,531,523,632,392,953,035,018,530,128,136,523,149,699,176,669,021,712,
416,801,405,390,952,326,865,239,957,576,127,232,212,768,860,364,355,498,195,
254,281,656,289,208,845,233,525,008,780,565,994,960,610,088,873,687,008,478,
303,368,910,860,816,436,969,855,478,930,460,876,312,581,576,541,868,982,258,
419,023,978,009,543,960,036,757,787,337,236,737,545,657,963,920,728,672,522,
541,996,017,759,966,174,462,536,291,165,794,745,378,643,687,424,390,349,661,
495,968,917,997,618,642,333,627,800,355,549,886,252,410,067,158,758,579,076,
733,301,112,877,183,045,280,441,917,439,822,002,689,417,835,817,355,990,780,
940,971,807,060,119,286,096,134,761,097,247,411,769,549,409,584,472,032,381,
999,856,731,640,803,463,121,846,715,052,189,148,977,603,956,389,779,907,995,
494,928,535,494,288,341,788,098,224,793,584,445,333,237,686,480,793,015,169,
176,223,937,225,768,753,625,887,220,582,133,022,433,089,014,098,319,919,178,
532,506,149,569,263,742,058,512,628,255,001,489,891,289,170,755,979,308,350,
776,037,322,659,958,266,755,047,792,901,325,062,306,731,963,842,836,584,854,
094,469,952,895,028,245,856,148,276,831,391,327,360,149,734,627,486,247,170,
731,047,824,710,344,979,802,888,359,060,014,117,025,253,935,981,898,388,409,
584,529,484,512,499,620,598,175,816,079,960,508,508,956,159,829,511,337,898,
610,873,962,929,080,765,609,334,994,777,933,168,229,086,751,309,842,873,002,
178,681,135,923,792,556,803,128,023,523,357,944,425,013,267,489,592,799,916,
546,878,962,454,481,684,717,848,124,621,851,457,077,183,720,671,170,900,753,
936,575,112,758,041,124,982,936,047,670,678,689,344,029,948,438,814,664,536,
639,798,716,590,369,149,307,728,447,898,822,820,361,319,483,640,522,133,976,
759,000,817,502,655,378,267,821,125,948,581,228,023,684,420,902,921,976,662,
006,344,974,134,172,284,565,212,079,792,358,236,787,979,022,210,879,216,328,
881,407,613,721,479,749,543,875,362,726,435,552,173,006,542,388,535,746,948,
379,319,207,939,690,072,350,486,894,492,723,863,764,802,948,973,437,595,600,
423,032,810,209,042,635,034,245,808,773,367,856,332,130,610,586,904,414,537,
268,048,430,534,309,227,091,144,689,700,091,728,339,284,530,553,631,972,870,
027,147,753,549,338,363,601,588,302,237,978,341,970,435,333,748,464,699,656,
868,774,895,083,419,854,338,302,249,440,164,977,869,516,616,736,808,619,115,
402,371,580,555,753,249,578,356,656,325,906,945,371,491,652,622,653,186,033,
414,715,982,642,134,039,268,046,860,066,345,507,061,117,048,524,863,736,657,
709,669,564,973,687,829,298,285,863,767,351,381,124,914,057,641,768,055,217,
505,085,784,717,863,698,189,416,467,833,664,492,464,444,514,313,749,995,513,
018,128,372,374,923,577,039,260,569,522,220,597,445,782,734,963,798,569,471,
782,612,305,256,838,974,085,871,424,204,141,869,963,708,742,550,689,897,287,
526,745,739,474,498,701,280,422,379,060,658,805,242,205,507,983,198,720,312,
850,433,523,718,003,791,535,739,580,836,235,481,046,294,524,732,642,639,314,
605,720,207,939,352,959,959,204,169,790,019,507,933,490,316,691,537,515,953,
966,278,493,363,895,458,757,719,392,118,069,995,416,153,363,057,200,757,557,
051,437,334,599,801,297,833,528,798,399,649,000,135,041,869,495,268,893,215,
821,428,622,767,492,651,816,467,644,325,955,659,544,678,274,128,896,017,761,
060,906,723,345,152,077,514,755,406,045,472,882,700,268,181,634,703,989,412,
555,743,543,497,035,537,894,774,589,378,574,369,334,009,896,981,942,215,053,
138,457,820,540,249,265,349,057,755,137,988,462,585,649,091,613,729,540,068,
952,993,733,611,969,698,944,662,846,991,737,686,691,094,749,712,002,625,637,
712,721,050,746,997,971,565,950,456,375,133,963,001,938,463,737,622,305,952,
013,329,447,014,122,109,047,588,638,440,051,376,096,544,587,273,106,070,842,
462,101,966,124,288,154,008,608,386,699,047,755,819,377,565,322,430,730,111,
089,662,049,842,492,232,533,345,183,050,563,058,122,913,839,483,070,583,271,
064,809,226,409,742,335,806,981,488,274,495,703,085,952,612,952,930,210,084,
365,638,588,743,319,819,268,466,767,997,433,805,099,569,448,629,488,328,440,
464,346,289,900,841,244,283,692,269,535,958,953,486,563,871,542,677,049,680,
515,900,683,122,063,889,855,096,507,662,173,304,168,757,747,441,519,068,388,
912,683,611,046,603,256,930,064,419,053,890,225,510,663,046,720,632,324,672,
107,077,892,870,945,730,533,744,670,356,424,327,269,702,362,597,833,772,231,
212,151,474,696,364,481,550,522,054,573,608,590,797,271,010,224,145,386,561,
088,277,432,538,246,892,383,738,901,452,788,586,669,114,189,747,968,232,336,
984,270,606,990,876,037,842,490,013,676,426,324,122,505,081,347,624,974,257,
570,463,716,637,783,762,865,741,279,363,117,522,250,366,106,211,974,363,528,
377,328,645,594,783,238,745,973,542,066,739,391,144,584,719,126,466,930,993,
667,801,765,565,505,106,136,555,519,766,319,182,786,134,186,992,806,635,492,
426,998,285,193,726,741,004,329,112,886,455,615,687,716,750,846,771,835,215,
533,323,234,844,880,535,940,429,183,320,399,581,127,914,377,189,352,500,416,
347,166,220,131,444,384,866,166,087,061,237,258,772,273,249,891,069,512,739,
096,990,653,749,523,890,992,821,619,469,077,798,625,428,286,253,957,021,638,
468,227,807,819,448,238,352,034,466,296,330,834,544,727,855,485,389,726,438,
634,279,092,053,737,039,810,565,127,617,767,782,803,372,169,886,569,128,184,
578,275,965,631,108,552,355,966,536,302,928,164,022,089,488,747,790,101,399,
000,250,770,413,540,463,796,893,533,389,295,506,826,943,705,075,799,771,060,
967,603,102,737,591,370,364,855,416,372,772,652,784,651,874,011,092,658,882,
724,687,132,813,753,077,135,223,431,337,042,128,253,717,902,132,867,427,799,
846,868,415,481,060,134,689,143,903,220,047,555,958,054,080,975,093,816,994,
294,820,281,208,030,483,293,459,710,226,685,583,680,492,498,441,649,088,724,
326,816,662,924,500,316,156,826,268,642,990,579,256,901,089,764,854,355,308,
914,356,217,331,482,314,015,206,121,702,122,182,248,829,531,968,256,652,019,
889,173,113,490,807,814,139,689,618,488,316,387,496,470,270,621,210,580,474,
594,306,262,975,561,225,544,853,326,506,188,104,136,325,860,903,547,263,809,
324,188,477,254,308,050,995,955,424,015,938,453,088,134,057,043,398,710,694,
221,141,168,051,775,686,277,693,236,642,477,449,973,896,061,047,361,956,632,
719,557,271,911,575,479,021,775,643,355,661,844,067,807,086,297,365,685,749,
126,079,737,445,564,046,206,940,842,931,250,664,499,754,145,949,815,270,509,
112,728,452,753,564,846,812,207,644,602,797,699,910,265,809,749,142,315,989,
298,348,930,193,325,590,314,916,937,581,388,602,297,739,754,695,903,286,928,
610,291,561,312,320,579,144,264,181,126,839,395,943,524,733,812,433,094,492,
987,196,933,452,069,335,863,083,435,621,965,152,094,146,548,197,056,925,238,
263,434,295,544,927,706,751,767,404,513,564,888,088,664,178,598,834,530,864,
794,744,052,007,127,532,592,137,231,564,609,777,991,362,385,906,466,744,088,
938,379,594,191,763,086,086,172,273,970,003,533,150,974,069,250,294,193,075,
424,286,641,869,649,562,662,531,070,722,892,570,191,578,240,896,467,354,692,
659,044,760,224,615,982,245,433,255,709,946,881,325,555,677,568,987,177,004,
692,288,402,957,699,751,435,361,635,343,961,847,809,104,220,216,880,822,637,
491,943,919,598,532,053,530,568,171,233,673,489,464,734,067,722,893,334,024,
442,432,614,210,841,301,348,897,361,629,121,242,691,344,785,716,156,382,115,
146,051,229,827,353,936,099,343,097,437,215,277,953,911,537,694,629,760,380,
917,252,260,788,772,568,586,955,545,494,206,522,980,329,361,283,247,895,831,
066,945,989,417,639,031,633,138,488,796,910,535,262,005,050,479,209,260,030,
144,366,352,908,394,373,013,253,005,477,820,060,899,078,662,438,799,392,335,
148,589,835,949,323,272,209,978,258,660,329,853,024,961,011,693,837,447,322,
043,374,933,825,331,426,733,451,976,984,528,893,331,227,789,688,902,309,797,
595,835,630,071,539,306,002,611,798,813,989,076,949,243,571,691,948,891,600,
626,620,614,830,658,686,845,906,719,986,357,120,501,171,620,420,335,970,060,
326,381,169,013,589,659,264,988,178,556,866,432,629,287,308,054,041,482,687,
422,469,301,011,826,776,120,215,024,655,699,504,392,669,931,141,512,902,152,
395,320,905,806,680,678,996,256,819,795,628,540,249,119,188,838,930,797,015,
760,785,398,830,929,463,618,680,532,732,268,630,104,546,553,380,700,789,870,
927,030,939,605,822,192,325,297,557,829,822,151,761,264,006,033,009,596,465,
302,414,966,031,338,054,331,848,578,570,218,240,260,946,662,410,706,352,326,
088,542,724,957,546,710,740,433,421,433,713,726,751,786,497,247,954,928,930,
179,871,596,902,554,121,446,210,394,886,985,600,464,831,774,236,279,260,653,
909,057,967,620,452,812,078,211,967,057,318,190,244,200,270,811,144,103,293,
628,267,577,984,177,793,849,108,382,725,405,197,153,578,306,749,868,681,987,
234,702,194,889,475,273,063,630,879,770,109,119,487,584,136,813,920,463,508,
429,783,913,750,550,500,393,803,114,260,210,428,781,662,476,680,567,851,126,
679,253,162,800,089,161,694,303,836,712,793,999,281,076,034,734,584,276,527,
012,596,258,826,736,372,824,088,951,649,394,362,017,482,772,646,730,543,057,
837,566,834,678,275,984,941,308,694,092,648,970,803,557,921,131,536,297,730,
914,112,804,754,396,872,566,437,065,051,653,547,591,685,190,585,635,427,198,
781,287,107,457,183,348,423,881,532,761,568,211,740,130,252,682,800,502,574,
536,202,367,986,123,232,686,894,909,112,018,024,510,162,413,332,358,442,023,
903,078,662,523,077,321,245,650,265,510,056,953,941,646,500,722,688,272,641,
702,870,411,173,519,369,151,608,975,387,673,472,046,613,953,778,000,260,456,
522,174,164,606,666,477,137,996,751,685,380,720,659,547,053,921,845,873,506,
420,162,449,344,538,304,665,927,952,605,119,695,477,279,290,678,523,728,001,
466,283,766,542,757,511,980,627,934,926,034,582,285,189,566,295,464,927,614,
425,688,860,100,081,614,087,168,439,103,171,203,365,665,944,964,543,985,050,
428,589,046,170,142,725,902,737,534,267,370,398,926,311,810,758,612,714,021,
294,297,952,988,112,738,569,704,595,793,446,153,104,304,126,010,646,588,799,
435,122,978,369,326,165,178,915,547,491,397,424,502,600,550,230,894,653,659,
834,279,678,160,739,952,796,236,488,531,983,335,459,055,609,909,501,695,351,
004,852,532,757,191,469,748,603,179,334,927,726,262,842,970,440,310,773,273,
360,200,910,307,906,211,191,458,115,426,373,285,178,468,630,398,627,800,729,
909,482,177,767,834,956,766,860,253,098,750,891,257,567,112,918,610,964,817,
262,834,648,344,808,821,892,033,977,078,483,741,617,308,471,802,579,244,410,
709,887,771,082,531,773,511,878,385,865,565,272,729,068,914,667,192,046,997,
949,660,650,661,113,572,537,355,461,965,972,926,884,177,455,638,360,341,755,
464,701,446,703,496,587,498,306,377,756,478,711,820,776,676,439,337,634,355,
972,351,345,280,686,443,431,043,650,864,379,892,158,180,577,746,095,415,816,
993,059,746,907,419,303,160,607,647,990,048,793,074,445,924,710,719,386,186,
910,028,180,771,884,019,455,678,274,473,628,140,600,436,557,832,911,131,286,
865,550,578,274,982,411,418,983,648,282,822,049,785,766,866,969,337,671,791,
832,624,342,520,655,079,161,562,966,367,441,493,958,438,255,158,326,497,102,
490,562,019,347,435,643,944,490,404,779,205,388,893,687,100,836,362,168,851,
469,793,038,630,350,332,572,211,390,625,022,243,248,790,223,490,789,101,408,
027,838,221,678,523,220,993,660,559,311,294,439,260,637,227,664,867,876,533,
464,829,606,033,946,048,540,619,813,144,738,021,171,816,294,338,745,039,404,
120,010,862,841,782,875,590,607,791,531,752,553,530,190,291,338,115,509,599,
967,567,189,125,687,952,339,940,052,381,036,114,503,779,553,490,193,761,454,
925,315,524,185,450,398,230,970,730,836,404,306,325,349,449,153,035,770,104,
233,606,939,125,791,643,517,111,534,323,395,964,162,756,978,782,396,588,887,
647,227,322,311,810,154,755,472,235,924,208,334,514,599,708,665,364,768,875,
596,679,428,019,386,634,700,641,915,978,106,420,950,168,812,438,887,543,619,
503,939,112,539,743,551,638,989,267,328,151,794,753,712,502,045,133,442,807,
976,275,866,224,954,795,821,504,730,319,028,418,514,509,865,260,375,797,538,
734,815,584,125,257,884,073,936,152,242,177,535,808,979,127,118,661,337,155,
334,876,175,999,231,166,100,258,986,231,023,251,283,470,680,700,427,866,122,
237,878,757,403,269,065,213,971,180,376,072,057,213,327,575,463,554,818,199,
635,912,530,810,894,865,152,624,321,524,315,371,699,994,173,653,269,448,129,
123,530,882,395,997,043,942,133,515,151,548,370,435,205,311,600,369,935,712,
541,189,042,982,402,148,516,820,223,815,658,926,904,712,227,433,901,052,363,
000,980,897,731,477,048,825,277,526,829,503,277,400,573,649,192,951,403,951,
158,716,404,051,833,606,470,139,820,113,784,374,450,734,177,850,516,264,314,
052,942,923,618,171,397,733,252,458,075,315,803,005,611,575,800,594,685,229,
698,993,855,337,345,961,354,521,127,095,773,588,430,008,044,438,120,708,803,
832,942,756,298,555,520,043,714,205,530,107,927,812,125,049,273,222,524,399,
655,265,969,213,389,494,942,443,292,234,432,159,810,697,391,465,184,420,979,
575,076,243,151,358,697,197,690,871,450,165,954,542,248,649,258,625,080,857,
374,450,372,515,104,845,073,555,791,212,050,420,671,507,027,958,988,469,600,
207,753,681,763,886,011,367,712,352,625,107,316,443,437,296,025,843,214,933,
403,036,212,211,754,324,588,427,827,367,116,945,592,166,515,541,122,167,815,
091,857,585,828,256,933,066,730,375,444,789,759,707,035,795,962,364,746,912,
396,313,717,557,125,591,900,406,810,129,107,521,709,777,071,452,080,559,266,
911,579,256,165,694,360,129,630,924,813,869,767,847,232,500,014,856,688,790,
304,468,883,897,800,543,681,859,418,629,425,148,563,883,388,424,783,469,131,
792,778,311,604,077,954,752,016,457,485,985,897,275,223,681,626,172,569,417,
018,463,430,312,742,133,476,068,798,385,882,570,265,008,601,043,187,543,219,
489,724,743,262,044,055,593,612,858,207,076,088,948,355,452,081,721,463,097,
878,323,867,406,177,200,865,223,562,284,350,618,778,837,540,970,110,249,010,
106,947,679,290,028,675,611,564,909,873,659,546,744,481,852,926,889,247,132,
847,898,174,239,216,322,772,660,684,652,915,862,296,828,097,775,363,701,981,
967,669,672,275,250,938,792,497,642,625,252,747,457,982,615,142,915,068,614,
691,567,278,064,573,211,788,964,836,798,546,638,766,520,182,755,113,319,611,
334,091,215,830,072,893,126,100,900,372,339,957,987,602,773,126,663,327,709,
779,233,006,986,434,297,448,927,338,414,544,288,292,985,522,111,747,674,244,
129,454,524,786,116,829,216,391,188,387,456,467,005,939,752,066,458,160,338,
518,438,221,849,271,003,991,400,740,616,226,534,002,666,371,105,081,518,108,
073,702,476,950,381,437,489,295,416,026,906,729,893,144,989,111,013,346,368,
665,294,791,488,210,027,922,448,295,385,701,406,932,544,983,393,407,386,106,
449,231,706,593,905,154,667,896,016,711,732,361,534,221,466,669,460,590,821,
634,807,523,012,583,615,007,676,203,551,046,193,061,250,682,213,979,570,926,
887,479,403,854,874,132,878,797,226,602,759,301,003,230,898,042,365,818,996,
847,725,603,926,825,184,935,535,278,895,947,696,868,597,381,910,485,902,136,
877,266,320,563,400,229,387,169,878,996,152,566,468,930,720,957,596,469,571,
308,529,410,792,462,185,997,323,702,637,633,087,834,026,926,851,289,748,905,
749,349,955,660,180,356,845,496,818,735,119,780,546,526,688,074,692,367,036,
522,378,532,990,331,346,352,644,608,085,780,566,431,802,531,928,530,057,472,
685,836,927,063,343,877,392,724,654,537,791,600,958,192,032,593,135,185,023,
250,008,906,559,145,711,787,880,780,473,131,480,343,806,485,885,296,104,293,
019,297,126,555,361,836,639,899,170,061,097,367,187,380,509,928,932,861,037,
975,703,534,266,149,139,472,538,972,931,419,551,861,962,119,133,334,831,642,
866,981,553,070,882,488,812,747,042,254,296,460,802,649,182,648,016,602,878,
769,450,671,885,319,644,534,319,899,822,631,202,095,437,468,649,922,243,891,
421,688,326,947,577,017,224,461,356,572,691,565,552,036,532,669,893,243,992,
684,291,581,944,672,332,511,789,911,661,344,440,729,395,732,009,013,163,490,
738,427,759,675,649,405,767,141,477,572,859,280,221,426,508,721,495,065,352,
390,447,197,235,154,241,429,068,673,228,474,074,894,887,370,167,967,797,816,
495,394,618,420,760,209,371,614,808,523,853,350,344,802,623,625,918,520,526,
667,417,959,402,164,987,761,506,023,352,202,561,019,428,739,362,418,075,772,
277,341,700,083,300,932,623,659,289,039,347,203,753,333,087,097,788,903,057,
013,006,633,408,068,721,913,883,390,179,152,306,497,459,081,937,233,001,864,
626,281,243,637,485,720,014,387,419,541,229,589,851,715,714,515,210,601,634,
451,356,577,763,436,971,357,000,396,945,717,085,407,068,222,158,800,505,296,
317,405,491,666,239,534,602,721,038,189,012,594,850,666,798,760,123,031,652,
300,386,423,093,050,000,006,813,180,701,042,644,677,081,616,716,189,421,623,
393,451,537,148,047,069,630,101,454,287,003,651,599,066,878,675,498,732,581,
995,879,453,333,211,528,360,553,017,629,296,320,522,113,130,096,771,868,182,
234,978,322,483,735,424,455,202,735,945,496,636,817,826,764,384,274,431,778,
313,579,524,498,868,823,109,514,209,575,160,790,304,909,727,972,338,440,694,
422,439,420,204,722,653,513,599,990,326,706,848,004,164,824,909,394,337,898,
005,564,923,241,875,461,929,559,542,505,394,144,416,288,543,861,191,428,249,
774,187,962,300,178,062,826,524,327,828,551,996,514,294,255,113,349,686,485,
225,752,104,824,695,551,035,686,426,584,711,632,805,364,582,639,702,250,121,
876,356,900,253,447,240,917,348,190,707,950,354,347,186,983,744,586,699,661,
851,365,918,981,806,816,142,701,757,226,300,592,837,821,077,276,047,028,400,
514,931,153,333,433,742,717,583,315,128,503,551,603,286,852,031,936,052,791,
683,491,446,348,217,283,400,241,468,653,580,479,364,803,019,852,972,689,767,
527,502,003,310,864,919,794,786,680,308,479,088,949,354,528,324,489,814,851,
594,766,160,980,960,436,710,071,749,851,712,801,197,648,425,999,142,128,723,
099,953,915,512,763,352,127,608,540,048,407,506,896,807,673,072,875,954,370,
732,198,775,900,877,424,388,472,355,006,776,502,943,063,425,945,406,408,794,
769,901,689,450,548,236,874,243,103,033,024,966,369,825,733,016,134,673,834,
727,991,756,280,522,746,020,120,691,471,429,298,301,472,658,448,288,290,177,
513,880,077,277,386,785,967,843,920,494,792,806,056,158,349,395,474,705,369,
868,549,287,726,860,038,021,493,336,275,316,957,513,673,111,096,690,880,109,
466,894,103,589,565,747,901,722,294,697,352,717,982,144,351,608,301,793,278,
209,892,618,952,743,997,697,003,198,339,062,486,724,156,193,966,005,935,732,
737,273,172,925,068,303,737,708,966,085,059,377,612,887,080,030,746,057,867,
165,330,585,822,874,674,749,233,164,457,005,826,273,685,743,046,642,199,173,
039,798,171,450,218,830,208,736,922,345,060,112,877,573,652,574,018,275,544,
925,762,019,131,056,648,053,498,990,722,642,841,517,621,585,934,906,335,423,
970,688,051,990,627,180,201,075,762,394,825,988,790,137,442,270,277,607,850,
780,313,871,072,697,055,156,138,394,257,798,537,581,721,318,525,472,282,558,
634,208,341,115,656,590,916,442,767,456,891,483,843,326,121,759,279,970,787,
500,659,878,460,280,020,528,748,254,763,824,622,016,266,349,278,910,518,926,
848,225,711,000,718,222,399,646,637,204,394,952,515,877,763,174,900,605,176,
996,394,545,085,078,120,374,821,196,815,141,750,105,965,708,081,607,981,439,
419,694,486,576,899,999,446,716,432,915,293,295,741,122,366,257,177,981,166,
779,881,187,695,173,417,346,546,623,523,826,105,448,961,057,016,782,571,458,
615,845,474,390,823,069,627,655,407,683,467,696,872,839,843,285,298,907,247,
337,057,447,089,175,136,339,997,271,881,253,160,094,622,860,439,908,307,414,
846,138,292,082,266,406,767,741,841,756,235,256,917,753,877,234,485,362,539,
793,984,545,341,858,173,527,418,641,612,024,277,933,631,571,213,239,436,882,
628,961,308,805,302,280,169,151,187,978,835,161,481,929,925,315,268,843,515,
944,882,102,975,280,339,477,458,015,286,346,238,180,429,875,662,783,585,376,
054,998,292,830,145,754,856,442,926,606,479,469,464,676,780,940,755,597,714,
078,353,359,382,582,207,079,004,457,370,318,742,356,030,423,073,693,802,602,
773,668,636,323,661,322,723,908,384,396,828,517,657,993,608,528,530,527,861,
204,885,134,040,973,050,080,778,696,166,598,262,736,988,629,110,282,958,920,
089,045,388,786,439,469,463,583,212,310,621,064,918,762,546,133,698,653,841,
121,319,596,792,657,450,446,115,929,956,950,191,432,306,566,772,261,009,534,
447,002,062,880,022,665,203,081,252,109,353,695,786,268,861,946,040,917,703,
314,599,792,462,953,552,822,067,381,559,105,889,220,132,356,094,038,416,412,
636,236,562,494,459,763,612,121,647,696,517,629,546,811,562,497,772,520,035,
532,911,252,700,981,143,049,033,016,803,080,603,637,271,525,976,476,048,300,
437,370,608,106,654,062,556,960,002,225,593,134,140,197,182,533,842,681,099,
803,187,510,349,259,829,072,536,780,560,046,433,534,187,435,502,946,224,208,
244,465,166,147,082,730,791,972,865,740,926,749,252,178,800,889,890,806,263,
756,436,124,967,632,147,726,909,360,469,309,849,438,328,570,520,166,202,623,
391,506,879,632,705,970,105,975,193,829,846,439,686,040,984,626,711,976,846,
704,653,811,583,851,622,880,902,219,932,327,972,243,425,972,418,935,131,222,
485,778,914,492,851,811,132,606,862,641,764,221,070,506,877,693,934,769,556,
726,247,941,034,300,352,868,954,358,096,368,024,481,720,829,594,684,552,620,
226,324,015,936,461,296,235,129,196,855,979,001,739,151,939,857,875,832,178,
811,098,574,638,414,220,517,728,992,659,961,281,285,317,395,941,923,244,730,
307,811,635,679,321,505,223,280,437,879,342,382,693,358,366,927,465,157,111,
529,494,698,917,199,301,315,832,062,006,777,897,538,972,412,520,506,227,335,
725,363,893,324,072,756,475,389,937,713,032,891,125,699,266,746,708,771,683,
713,190,605,598,816,172,510,829,439,411,299,520,415,594,622,517,155,652,689,
685,207,581,364,002,023,080,391,587,808,187,766,992,337,295,096,304,211,697,
678,299,195,107,914,700,152,415,940,251,645,029,219,984,406,805,733,135,479,
123,099,836,716,096,020,127,584,968,742,527,128,145,536,928,197,335,206,275,
380,413,982,992,666,253,599,203,778,829,159,707,992,984,400,205,933,235,142,
107,060,334,227,070,566,980,146,386,260,929,399,234,789,391,105,881,179,613,
505,723,194,654,351,766,179,843,534,942,873,371,090,369,974,962,791,783,946,
267,066,145,790,957,479,845,341,643,614,250,836,858,606,395,845,135,033,011,
251,754,131,085,129,923,382,260,720,848,213,210,584,058,408,791,379,836,163,
903,370,490,037,287,954,556,030,792,540,553,220,941,657,168,418,589,413,518,
279,591,881,665,697,336,046,165,933,791,179,228,502,770,926,416,057,794,374,
981,844,616,967,776,799,457,469,104,215,802,863,376,090,551,757,404,922,182,
677,202,777,248,990,256,575,115,012,882,577,485,497,525,169,662,339,306,758,
759,032,536,934,205,264,179,190,415,946,704,928,966,485,263,349,371,185,619,
021,887,367,157,383,868,644,586,272,106,852,413,296,956,884,185,533,396,458,
765,026,373,159,347,585,063,787,038,580,463,530,269,470,641,498,958,722,000,
150,927,288,914,002,031,328,645,182,446,817,460,275,188,678,702,107,007,713,
968,251,260,164,335,214,661,843,120,395,520,599,013,536,034,769,929,176,900,
367,258,273,216,135,771,270,736,332,953,121,484,075,097,542,841,345,930,008,
917,214,747,139,190,343,034,099,124,079,683,063,489,414,618,476,601,552,446,
044,291,152,124,227,919,689,724,207,664,191,757,830,787,971,517,619,002,007,
604,687,199,295,778,226,935,031,379,023,168,064,624,500,689,906,820,793,158,
842,733,249,778,399,701,645,978,546,291,882,260,065,637,808,042,073,188,908,
152,569,133,982,347,874,774,795,636,940,615,962,041,015,597,390,110,663,417,
859,942,054,694,407,599,754,362,460,936,752,102,995,825,175,288,623,703,297,
753,984,829,094,073,229,071,520,559,946,373,650,585,343,684,183,429,879,864,
910,825,820,548,300,014,778,415,484,473,283,840,852,175,496,596,468,835,103,
086,906,185,975,595,533,310,509,582,390,734,133,224,713,588,369,822,046,486,
306,452,709,942,982,171,440,825,805,666,644,768,434,613,353,876,349,780,126,
175,618,910,438,266,247,715,488,176,547,107,203,856,252,562,856,256,724,169,
270,960,216,771,064,878,755,351,264,083,810,267,641,120,359,131,505,398,719,
327,892,811,518,106,531,879,033,154,306,648,882,573,777,648,071,038,683,952,
181,327,680,540,915,807,596,953,162,527,551,568,694,446,972,679,484,806,131,
350,276,638,996,673,499,266,405,622,816,558,426,671,288,739,201,927,906,652,
920,033,758,313,859,101,866,890,438,021,285,434,470,500,336,233,464,172,541,
588,807,852,139,893,836,978,439,087,780,972,860,357,773,716,443,608,052,901,
790,372,002,940,365,465,853,999,385,960,157,568,383,728,402,324,649,821,850,
961,908,756,443,794,094,906,072,034,681,907,114,121,020,887,820,332,965,247,
460,171,313,632,247,701,232,212,728,586,818,185,865,049,459,713,321,343,851,
867,664,030,463,071,753,211,452,219,888,552,021,663,965,205,602,149,680,444,
579,282,287,473,326,687,436,622,895,711,285,187,714,886,232,423,543,587,491,
337,115,648,685,999,989,250,808,241,326,032,958,380,532,253,675,045,301,755,
018,070,277,267,317,881,578,963,127,612,171,586,846,374,216,663,079,383,626,
325,137,866,348,474,821,545,735,982,811,411,879,856,701,475,521,552,337,195,
610,038,698,062,937,012,421,355,329,491,433,384,040,552,951,444,978,513,934,
552,304,850,127,003,448,338,003,947,764,780,392,833,824,376,141,641,992,353,
396,299,563,129,038,052,323,167,897,946,678,912,445,085,220,996,022,853,616,
492,246,160,775,015,874,613,682,196,887,981,186,795,386,194,690,662,571,281,
596,434,868,927,275,205,981,490,319,787,186,743,460,438,163,396,139,722,163,
974,495,701,313,687,066,574,257,224,567,599,162,517,076,741,440,062,688,408,
436,848,500,981,359,412,607,982,560,362,025,506,878,121,575,421,901,167,583,
857,790,842,597,693,231,594,455,341,832,960,469,392,795,049,264,856,813,114,
641,129,703,424,218,015,213,073,233,617,456,338,088,664,035,351,694,928,225,
341,071,014,444,777,151,146,516,864,211,882,237,234,001,265,748,919,208,670,
020,760,132,116,112,256,267,886,432,948,364,807,750,180,142,836,011,382,771,
529,984,307,502,973,867,890,438,157,431,158,371,967,537,202,282,101,170,018,
501,082,474,465,223,720,732,897,425,417,400,358,469,807,167,363,287,602,960,
229,922,958,147,631,386,675,956,102,315,682,506,975,659,960,893,015,704,307,
357,117,132,749,795,488,856,136,961,570,560,304,634,738,022,078,553,183,729,
745,112,978,850,970,071,042,178,840,846,420,666,276,032,308,735,619,734,328,
546,641,269,330,529,685,956,767,912,494,559,088,381,688,776,154,923,169,955,
279,153,582,622,204,482,599,545,134,012,183,737,991,351,419,280,526,871,392,
082,401,701,286,470,105,694,793,581,418,344,126,705,920,656,396,732,288,405,
624,216,416,236,508,028,903,766,234,580,660,000,299,735,818,720,058,211,389,
644,595,728,340,347,497,436,370,733,183,560,898,820,590,353,463,779,828,953,
989,591,715,749,503,416,199,338,651,142,593,255,229,142,615,191,053,722,031,
432,685,281,114,205,940,442,685,779,335,186,007,914,731,356,639,821,832,940,
203,586,662,136,719,836,911,656,159,918,581,302,415,898,140,104,475,840,296,
315,238,871,664,496,979,089,284,418,710,550,600,164,835,680,781,373,123,664,
463,311,146,953,191,725,394,697,487,372,293,456,624,884,116,251,155,238,418,
077,658,763,268,276,957,496,500,604,674,780,571,205,611,108,710,479,368,845,
886,209,278,229,511,169,324,099,913,472,883,073,567,129,116,190,773,502,287,
267,780,732,815,912,765,911,440,173,575,856,553,753,547,448,422,492,701,965,
769,918,204,272,486,766,877,395,927,151,305,356,267,514,661,997,615,648,849,
434,041,207,101,532,003,225,932,940,350,438,613,104,858,390,947,095,271,842,
233,121,349,300,971,818,136,680,335,553,435,869,842,786,957,845,982,666,270,
556,523,270,532,103,568,380,398,246,363,485,211,529,844,540,435,746,299,457,
651,037,384,896,935,526,558,819,569,334,635,036,193,286,437,903,359,134,451,
626,659,290,548,567,834,723,521,313,107,965,699,342,781,011,617,354,741,911,
234,652,370,502,448,212,753,696,750,904,583,356,467,455,748,847,616,434,955,
459,801,173,679,935,450,206,921,409,320,261,479,505,843,896,123,169,742,712,
546,892,519,329,606,402,820,721,454,369,151,132,121,351,463,887,078,104,447,
451,916,246,616,711,566,468,524,494,075,621,771,373,830,022,567,417,783,450,
021,762,067,532,996,697,683,051,104,285,252,360,564,768,416,829,040,282,018,
488,531,501,396,857,113,118,441,835,091,586,821,835,189,540,035,736,251,667,
232,313,197,755,498,215,688,194,195,403,749,733,552,598,832,012,033,321,357,
796,002,321,419,028,271,684,725,018,695,842,585,046,667,097,116,248,751,526,
874,650,420,098,046,930,315,416,003,309,968,459,005,033,620,939,523,090,694,
078,536,490,930,229,373,982,708,453,049,319,665,965,188,847,584,014,101,700,
077,877,572,091,657,540,251,898,480,240,372,597,799,763,821,686,453,135,788,
514,928,230,134,681,753,155,512,443,097,362,406,507,364,398,872,133,480,928,
755,558,406,198,820,752,471,371,422,521,311,256,981,484,898,515,091,029,446,
690,287,039,032,134,929,338,728,210,252,585,825,353,272,715,010,460,516,497,
490,734,840,319,465,024,378,317,352,602,873,772,405,452,409,709,088,423,032,
547,179,532,715,178,165,034,030,345,944,386,667,228,363,186,991,794,840,145,
848,598,180,012,808,234,866,617,609,855,361,223,652,659,424,425,505,418,056,
769,484,495,005,755,315,354,207,575,606,985,515,935,903,978,985,472,390,888,
411,564,915,493,568,838,839,173,308,049,342,107,948,519,277,120,744,203,765,
291,300,663,873,037,219,474,422,486,439,097,666,053,993,867,974,880,301,689,
012,949,261,162,227,981,895,756,405,068,925,102,001,797,658,323,266,941,621,
264,463,414,766,164,407,652,366,586,505,933,681,299,170,932,508,245,116,520,
833,493,541,623,789,067,408,989,485,295,900,205,745,597,976,788,168,856,722,
855,091,997,636,887,532,884,779,469,384,362,024,501,338,109,176,007,481,363,
248,485,287,015,189,377,633,639,647,809,441,453,549,907,046,604,202,361,261,
442,631,092,037,484,195,640,852,067,033,917,632,400,857,023,145,695,993,863,
171,199,608,643,626,868,886,333,611,939,221,854,445,753,093,262,608,364,252,
589,465,837,414,633,336,977,248,979,325,174,780,232,304,901,316,655,823,648,
743,872,719,470,257,537,763,954,640,738,867,414,376,376,224,761,721,394,752,
163,022,603,774,434,459,171,086,835,186,521,909,984,267,865,385,520,968,423,
513,344,460,747,891,457,542,588,365,633,321,426,580,515,940,467,861,177,717,
393,067,466,783,577,979,369,936,968,328,720,530,481,414,955,378,582,212,254,
670,156,237,315,066,993,658,796,828,908,766,306,289,390,218,643,023,592,494,
779,240,579,514,537,055,415,718,275,305,190,493,713,325,994,541,139,178,428,
056,586,926,689,150,818,627,236,548,114,928,323,649,678,286,817,113,404,249,
704,194,969,954,796,770,980,940,540,626,833,352,908,194,828,746,260,114,944,
450,039,372,740,592,873,877,163,936,542,419,306,909,399,892,707,756,120,474,
606,535,785,403,993,032,904,756,128,838,671,139,908,371,200,952,101,346,139,
023,860,770,646,019,345,700,607,152,761,061,676,396,287,354,645,348,017,619,
842,056,907,135,202,285,999,348,706,768,900,386,464,876,693,088,873,648,759,
319,575,537,293,928,202,436,275,914,877,959,481,459,677,348,840,086,038,062,
131,999,861,994,478,585,900,231,005,770,994,346,505,950,808,491,200,730,998,
421,946,768,924,175,491,100,857,259,816,891,841,364,666,538,048,171,555,771,
366,863,137,343,339,850,279,328,906,293,400,624,737,057,958,318,401,495,882,
069,755,741,543,997,740,105,420,339,643,339,093,509,318,371,601,608,809,256,
611,179,707,584,735,003,382,810,759,200,266,229,680,075,487,454,370,876,323,
789,576,597,256,047,178,488,793,022,351,259,422,134,212,406,395,286,066,547,
892,948,142,603,423,553,878,981,472,824,461,116,141,434,483,454,148,946,394,
282,518,687,603,287,692,499,364,708,389,835,174,568,753,827,244,850,047,804,
033,281,786,269,361,764,141,886,269,707,779,455,810,529,142,960,460,556,833,
781,934,079,639,542,075,828,006,999,936,513,622,306,722,125,720,618,720,417,
515,653,113,437,175,745,347,626,134,696,096,230,572,128,805,882,429,460,436,
263,970,671,888,376,560,745,431,129,277,807,468,241,026,698,622,446,775,962,
830,385,065,948,414,625,752,372,420,236,898,534,155,340,928,520,195,948,316,
476,627,637,495,979,779,769,206,831,608,106,436,293,033,731,516,316,485,633,
752,745,567,395,770,734,005,897,225,969,581,960,448,765,978,755,906,120,980,
232,094,361,642,653,591,477,770,781,794,807,065,226,565,049,758,640,171,641,
225,452,001,107,318,323,451,817,071,654,015,177,549,175,683,623,528,416,604,
124,281,792,194,434,012,470,867,684,619,347,320,709,706,688,207,524,049,686,
537,354,326,881,062,671,367,700,952,915,780,219,424,322,685,320,780,310,223,
597,461,552,873,380,521,358,162,244,431,523,148,725,673,600,295,320,873,493,
699,912,469,783,837,294,117,184,707,275,617,903,154,316,644,957,596,357,613,
328,252,105,336,916,671,378,266,348,828,971,492,331,830,116,466,422,103,572,
789,910,528,818,699,921,012,803,218,841,283,490,520,327,317,279,382,066,908,
418,982,378,562,826,436,027,128,034,719,339,659,857,158,662,686,668,714,541,
271,974,130,042,941,768,951,488,866,664,267,733,440,855,127,910,221,317,888,
584,345,143,426,702,016,937,564,678,195,735,994,697,717,650,155,030,167,299,
807,914,578,466,539,743,785,559,324,614,525,775,658,084,140,004,263,370,174,
947,359,587,563,768,743,585,080,614,481,388,528,560,752,829,477,290,842,513,
146,173,744,063,215,950,956,551,188,553,101,153,337,032,499,396,847,196,050,
979,448,533,226,998,287,801,910,038,262,488,967,912,253,472,233,595,418,190,
710,567,463,297,107,246,534,500,258,577,544,372,167,518,091,450,191,129,237,
971,116,831,946,632,021,917,199,516,781,066,995,052,938,510,787,992,202,445,
727,165,196,494,087,595,115,290,822,321,025,331,886,787,205,592,484,446,062,
446,510,181,897,797,920,116,235,720,368,881,829,876,019,596,250,635,698,362,
443,304,361,980,678,005,863,899,411,135,921,624,418,647,969,091,068,975,861,
499,990,828,307,738,140,637,178,343,085,873,544,991,244,091,356,912,287,081,
508,519,791,956,922,423,598,361,921,630,079,084,573,338,961,472,125,596,266,
212,404,710,920,648,159,726,410,999,180,713,058,787,407,201,909,680,917,130,
721,680,881,950,069,524,692,411,944,547,362,739,461,605,196,685,292,545,434,
619,949,085,426,747,508,147,972,842,735,924,703,630,374,045,888,564,725,669,
408,858,620,270,038,083,733,139,355,312,964,649,414,226,653,740,509,579,691,
223,110,229,466,452,280,485,021,887,124,011,185,563,876,382,433,063,658,599,
899,443,640,930,029,574,549,337,672,171,459,682,216,238,500,581,586,170,505,
476,758,639,339,245,644,811,543,330,981,163,821,099,734,373,827,631,496,316,
292,928,017,817,226,031,534,538,769,597,793,752,741,277,918,784,907,399,840,
367,516,575,737,483,064,412,808,728,540,203,366,874,424,168,942,278,758,021,
345,338,105,135,534,790,706,028,408,754,630,853,942,288,025,031,319,157,048,
258,893,527,628,025,870,864,908,386,359,890,976,805,257,128,772,305,769,091,
278,881,650,554,531,345,142,113,024,626,304,475,315,205,199,985,049,444,082,
440,231,412,662,617,418,891,093,380,088,492,792,384,156,938,460,651,087,485,
712,232,254,271,352,493,712,059,645,723,930,194,205,415,559,341,023,070,151,
431,306,093,172,102,643,882,555,242,950,761,571,717,799,234,940,990,838,119,
575,552,194,401,864,859,238,265,849,822,253,889,716,385,674,109,652,883,874,
919,624,195,599,485,301,009,726,772,738,621,974,830,674,329,763,391,237,558,
216,899,239,297,730,236,770,402,539,544,478,397,345,903,130,922,821,315,601,
502,164,935,083,801,929,128,771,668,271,467,448,816,867,241,551,302,361,475,
541,011,319,798,297,542,927,701,851,010,369,351,324,056,537,052,287,033,026,
550,546,712,930,940,366,174,509,022,382,371,553,969,192,257,200,935,961,316,
774,048,706,964,087,816,721,956,253,675,115,027,340,659,322,650,577,542,907,
633,095,340,166,685,944,935,992,303,555,683,317,694,487,276,405,056,167,767,
412,222,654,185,404,520,154,296,904,585,727,122,239,039,743,770,682,302,011,
380,816,553,443,136,910,608,244,936,783,457,495,862,177,783,969,654,300,333,
522,684,004,652,227,090,438,418,824,259,300,960,954,406,725,976,484,996,303,
440,496,408,228,072,541,096,605,464,257,790,125,209,328,869,482,265,779,465,
633,844,746,838,951,698,326,217,263,186,715,939,694,735,391,227,291,624,563,
149,660,408,327,372,981,030,792,192,166,826,967,985,936,604,333,937,036,192,
897,174,196,269,168,989,147,900,966,104,811,783,906,887,082,276,879,679,730,
433,998,773,101,412,740,231,319,608,353,033,663,975,894,397,087,700,804,042,
979,381,755,294,593,016,903,912,197,498,866,991,431,462,014,157,136,414,751,
028,081,617,311,786,887,971,184,439,918,521,451,901,579,225,742,020,961,547,
726,642,932,981,845,034,952,693,833,588,636,413,161,867,291,558,759,837,442,
104,382,915,772,789,465,029,084,535,545,808,053,489,879,490,021,052,258,446,
175,585,482,826,662,044,357,457,322,001,411,325,347,018,018,484,560,407,782,
979,073,232,188,898,800,493,288,188,669,198,167,712,159,775,600,807,317,004,
046,267,154,560,806,621,759,928,792,524,055,601,564,617,558,987,288,370,656,
305,757,459,253,216,031,552,956,926,623,158,222,073,988,786,012,069,379,382,
524,386,203,308,293,127,289,573,760,498,237,374,904,184,531,699,100,794,983,
018,548,041,999,178,605,736,226,046,450,776,435,301,973,204,795,163,693,903,
640,693,742,821,095,815,134,343,980,922,443,716,414,145,693,668,309,388,204,
006,079,757,490,382,589,801,047,037,544,595,143,119,959,581,985,670,590,641,
806,500,255,112,785,759,722,231,570,591,527,438,044,165,982,891,054,202,481,
886,407,922,490,821,646,036,005,884,059,576,912,461,161,311,538,743,933,624,
541,849,912,819,503,341,853,488,804,636,726,912,658,887,285,090,999,374,531,
572,465,631,238,628,541,248,984,141,296,492,424,534,803,160,097,869,321,581,
577,096,293,827,213,119,449,323,445,130,502,647,363,798,861,331,604,880,620,
912,435,793,925,956,433,150,929,209,583,315,587,728,809,570,763,678,397,276,
091,657,128,836,001,476,568,953,369,053,369,038,741,784,630,125,422,741,456,
234,241,065,125,758,379,890,176,141,941,670,774,571,811,664,387,859,816,738,
458,857,199,119,141,220,734,211,344,191,276,897,674,052,525,849,353,713,178,
453,747,169,220,693,891,993,389,606,450,767,926,768,374,565,294,358,301,783,
281,865,328,770,338,139,275,342,302,205,642,910,305,976,355,348,079,457,529,
878,768,385,259,991,915,436,236,838,830,451,446,663,258,450,332,307,535,477,
979,037,068,083,614,907,754,799,633,691,491,736,349,231,026,563,669,329,312,
795,963,496,326,198,747,212,662,228,036,187,562,242,686,665,755,632,436,214,
082,942,024,277,652,486,909,194,770,666,956,811,974,741,106,443,474,384,584,
293,653,299,262,356,977,829,111,546,789,464,674,674,191,181,185,007,329,420,
729,170,580,598,831,235,716,962,503,748,504,237,158,441,246,027,024,000,020,
268,657,324,804,795,000,592,961,964,213,752,869,266,310,257,431,684,971,871,
764,388,466,473,508,548,449,638,041,951,012,534,032,789,078,687,304,006,569,
162,794,664,150,283,559,453,095,006,033,875,077,060,373,400,920,787,792,554,
593,867,946,746,993,312,305,856,897,539,188,829,062,284,566,604,666,089,962,
534,875,684,727,561,233,689,280,060,972,063,109,107,840,813,611,196,875,616,
431,464,140,403,381,720,687,145,564,729,111,227,119,936,781,693,190,318,831,
325,302,251,949,268,396,576,083,611,484,962,273,743,086,119,381,164,552,138,
035,792,205,531,506,309,102,777,612,486,455,046,137,240,659,763,938,330,270,
284,745,313,955,347,770,439,978,350,821,376,471,711,571,252,397,582,232,776,
766,593,361,887,938,778,320,244,812,666,349,809,580,427,176,831,656,098,618,
648,908,698,365,620,724,194,867,099,541,703,604,733,309,838,326,923,871,570,
436,979,285,754,140,996,228,101,219,262,558,540,857,694,624,691,343,238,975,
099,097,928,331,534,337,051,486,619,546,736,675,847,705,145,514,697,992,301,
625,591,932,857,871,077,242,158,878,476,993,523,123,069,938,981,508,299,568,
531,856,192,844,081,473,256,602,971,710,822,655,989,818,520,697,151,139,192,
260,272,484,366,562,732,222,151,099,596,905,387,413,956,103,905,985,826,865,
088,300,910,296,860,972,397,425,647,371,605,000,438,531,017,222,839,983,418,
635,719,007,637,310,046,508,218,229,595,876,902,909,257,570,217,655,819,290,
687,919,047,932,176,151,503,606,641,048,661,356,448,092,743,422,054,189,394,
514,639,524,116,474,974,632,903,835,444,486,116,386,057,341,843,861,118,894,
510,313,976,455,474,875,197,614,427,179,648,296,231,166,552,544,302,247,186,
108,395,948,575,445,910,439,722,674,214,864,238,469,880,151,360,019,305,263,
928,397,733,646,549,042,237,910,287,420,309,312,593,848,818,032,791,003,857,
493,380,678,587,225,998,330,608,584,870,028,373,981,331,258,684,853,917,077,
216,044,191,842,510,612,097,773,533,736,960,732,870,031,221,817,450,266,898,
565,211,390,171,423,512,071,179,541,442,935,763,155,012,980,513,555,206,218,
788,940,932,225,557,790,613,868,525,920,837,288,849,428,021,885,221,602,408,
089,716,912,006,809,770,234,058,584,422,365,713,327,057,494,134,510,933,744,
613,913,653,790,796,285,228,784,919,102,129,512,054,736,275,353,800,850,537,
586,065,786,647,331,557,146,898,516,129,208,618,568,874,543,050,580,578,379,
504,826,880,425,062,704,499,124,820,249,706,391,661,913,000,035,579,249,196,
718,146,444,759,525,961,525,600,392,615,758,647,284,601,768,765,421,988,392,
735,826,635,359,273,579,852,648,854,827,494,477,793,184,469,016,134,089,166,
365,803,358,029,898,634,334,088,434,585,748,343,980,735,806,265,525,814,703,
784,859,098,600,310,490,330,842,400,401,347,822,448,266,408,353,292,809,326,
731,472,166,390,863,576,969,048,124,534,108,631,880,608,201,732,519,028,938,
160,518,367,391,932,980,521,811,512,202,518,116,444,975,476,546,317,627,779,
622,033,598,558,311,674,250,067,837,841,065,645,646,591,399,214,696,333,723,
080,470,778,523,395,662,986,405,633,351,297,798,636,220,093,918,561,392,974,
700,038,769,138,081,507,505,639,350,420,349,247,933,819,235,256,651,498,719,
095,073,547,889,187,451,886,535,670,312,577,244,813,696,178,867,285,010,057,
390,189,770,398,267,433,415,319,486,290,421,639,450,544,754,531,017,006,746,
654,493,840,920,724,881,499,063,127,091,956,816,358,071,175,387,282,242,179,
930,877,564,542,481,883,803,551,336,233,320,249,598,228,566,902,607,204,029,
201,594,494,646,563,233,451,050,134,719,207,542,917,917,300,996,103,498,214,
638,692,746,246,967,231,613,678,464,696,538,742,665,881,733,837,302,227,384,
521,744,446,458,892,259,390,607,937,511,041,191,993,265,044,850,180,194,149,
967,950,768,923,890,929,769,266,712,542,185,130,079,728,942,764,590,672,010,
781,595,526,465,103,591,164,320,633,174,386,801,706,785,560,235,581,130,223,
513,940,478,082,918,925,977,263,204,515,868,204,615,986,065,248,664,891,850,
692,679,633,643,884,498,145,156,196,002,408,901,118,909,926,126,463,557,211,
585,968,504,059,841,330,285,094,037,154,707,952,662,210,261,918,797,697,745,
984,755,059,180,468,728,264,340,674,975,326,540,582,569,751,422,096,156,690,
112,144,238,759,216,516,684,103,634,262,611,416,077,017,140,431,061,859,111,
029,988,574,549,680,347,431,552,198,615,723,886,904,115,504,041,236,274,402,
212,099,525,760,029,932,273,793,451,621,890,025,449,560,317,260,753,085,855,
004,112,108,298,310,633,743,819,816,626,930,484,261,598,403,151,573,771,672,
845,147,616,739,189,422,615,169,159,972,958,894,469,146,440,844,331,365,394,
361,597,514,881,329,815,952,128,758,942,147,389,862,371,981,133,240,971,705,
085,813,169,260,520,540,433,239,446,355,247,993,770,809,720,289,900,437,123,
618,815,755,821,296,641,744,793,014,622,313,173,469,350,026,983,598,812,155,
487,643,385,234,215,295,433,216,963,069,666,985,772,256,433,192,218,725,222,
732,071,144,549,779,017,259,856,452,466,276,122,853,068,559,801,780,259,478,
571,552,624,810,651,768,870,260,821,157,252,769,699,088,011,330,355,628,347,
863,707,068,636,673,764,975,413,984,237,757,278,761,235,931,820,884,267,603,
082,048,744,630,999,312,669,343,043,027,737,909,068,688,203,065,045,335,647,
620,512,560,735,627,078,205,739,971,300,576,170,157,061,480,692,703,659,368,
488,601,843,867,633,094,461,121,240,352,233,122,107,928,487,098,752,387,608,
889,178,763,252,664,873,681,945,522,571,916,189,488,485,542,461,473,012,954,
426,061,325,919,087,481,704,533,432,149,671,901,190,931,115,999,934,669,465,
651,803,823,541,669,234,742,119,326,922,227,503,936,715,113,775,070,243,035,
542,365,421,939,533,246,263,511,661,530,958,161,329,050,902,895,398,211,805,
269,786,037,730,714,247,033,619,792,522,863,965,788,779,342,591,360,777,098,
812,935,861,491,896,609,482,591,756,417,118,595,431,090,263,176,410,741,129,
872,660,450,856,059,493,110,197,741,784,446,377,346,021,616,713,796,243,895,
260,759,539,765,103,462,331,797,668,458,555,270,563,513,634,813,952,433,923,
139,359,687,734,459,004,673,300,861,921,055,045,700,988,541,059,323,628,354,
575,476,510,298,399,936,114,322,678,939,903,399,706,447,615,203,063,194,939,
405,234,296,702,913,341,821,064,758,865,497,943,390,218,451,557,786,869,176,
386,339,145,444,786,697,587,997,645,407,569,053,500,252,449,801,647,488,894,
350,481,312,280,641,206,643,345,182,127,737,561,864,698,269,726,813,319,073,
829,875,918,796,066,251,332,806,026,602,119,805,086,898,518,441,890,714,923,
404,339,922,584,794,039,369,448,297,224,198,896,678,912,902,969,691,980,964,
805,108,898,913,207,269,186,477,032,681,310,513,166,664,493,994,626,363,672,
757,789,264,738,045,564,464,014,838,312,140,433,263,128,911,279,289,104,259,
861,043,359,156,264,474,953,928,047,879,680,250,684,596,468,467,416,211,707,
761,352,438,829,242,627,481,294,798,934,682,156,220,979,167,264,613,043,571,
715,898,725,986,345,430,315,318,732,163,573,658,512,419,309,449,493,471,646,
493,819,462,300,627,482,488,596,719,372,221,431,465,286,782,903,253,625,013,
858,292,657,837,039,485,803,126,616,107,155,194,782,835,242,618,865,279,714,
539,345,201,248,559,273,752,162,595,629,931,685,129,985,842,719,186,693,201,
261,609,186,980,012,774,672,718,295,795,319,605,124,652,898,361,953,646,410,
005,407,362,955,553,399,216,037,157,774,861,597,497,669,721,963,372,674,004,
115,317,227,589,270,883,487,119,130,834,914,470,603,150,613,577,350,052,895,
139,649,317,925,473,594,179,886,629,506,345,096,130,817,613,464,951,170,821,
794,581,027,330,019,278,385,384,746,320,874,392,626,137,330,326,623,222,325,
287,719,947,757,695,812,907,936,157,182,856,899,183,269,261,631,845,067,438,
536,945,940,701,308,876,702,846,397,977,242,246,373,001,939,328,935,981,862,
951,546,132,388,591,398,587,871,417,139,427,827,939,214,845,549,705,873,686,
216,288,085,337,107,828,393,397,354,186,758,409,350,682,296,528,108,070,694,
534,578,115,491,708,260,913,821,700,228,931,884,252,404,303,708,069,905,710,
442,210,005,287,852,425,856,631,857,748,685,459,385,396,394,887,621,866,860,
759,835,683,501,467,862,840,917,520,249,859,449,075,012,150,854,048,075,704,
518,968,210,674,880,224,802,245,646,981,357,596,181,450,692,858,686,087,073,
470,496,076,997,336,371,857,454,926,744,169,839,995,530,219,565,321,906,684,
446,873,924,032,820,879,415,931,651,183,146,517,389,992,013,041,766,229,193,
171,837,783,757,718,312,660,843,199,761,744,205,669,545,152,055,238,575,176,
312,685,039,146,908,593,808,216,678,977,093,388,566,418,268,262,165,047,386,
956,602,012,030,837,742,287,928,328,988,902,975,934,787,034,299,230,217,808,
238,266,483,169,371,466,003,680,286,420,332,289,248,915,192,082,416,079,931,
793,979,528,725,392,061,478,219,572,061,069,746,410,134,202,936,557,847,418,
908,265,410,354,640,297,223,157,833,733,180,266,650,933,722,464,478,349,414,
462,019,723,866,796,963,590,383,787,067,613,208,372,891,182,771,825,488,526,
062,531,452,623,940,007,149,474,927,616,571,898,567,394,817,358,787,065,696,
228,447,835,817,038,256,785,825,469,505,818,638,426,108,392,705,534,777,389,
234,779,273,102,630,030,006,317,989,678,759,414,965,523,881,417,111,541,876,
407,774,987,077,308,861,889,218,210,128,668,460,734,389,715,499,294,446,760,
816,378,044,912,928,164,375,991,151,515,246,353,113,945,461,971,354,229,642,
092,080,935,526,925,319,787,310,393,531,294,622,404,549,282,321,347,197,863,
945,851,710,457,937,892,011,069,445,999,800,437,816,776,990,229,771,548,647,
607,414,553,013,699,538,894,278,371,086,759,665,659,399,678,892,374,452,882,
816,206,635,864,621,445,804,276,084,879,635,577,448,664,466,810,299,365,743,
698,501,521,628,473,014,395,177,385,139,846,467,180,589,441,785,981,541,285,
477,289,557,928,051,597,891,156,447,844,500,214,293,771,332,074,411,160,350,
776,292,015,236,929,692,702,648,963,426,999,282,723,962,049,550,568,111,802,
595,575,561,627,167,074,216,020,654,664,466,609,106,910,226,087,586,230,677,
993,916,145,944,185,163,072,470,081,487,091,004,262,869,270,045,974,690,139,
448,614,670,748,956,761,936,829,418,299,620,569,763,777,306,069,010,301,537,
450,147,844,668,514,081,854,560,464,751,734,578,737,965,801,322,230,484,629,
016,051,511,000,441,903,132,453,774,963,318,121,933,996,846,972,018,153,643,
529,089,641,758,294,434,454,282,881,174,651,291,992,480,799,194,511,366,053,
344,195,326,015,004,226,365,621,562,547,935,569,188,578,653,950,798,562,845,
781,137,985,266,524,301,425,344,598,317,217,556,148,333,791,872,492,483,323,
150,648,756,315,713,624,052,640,489,717,661,308,296,373,677,318,319,860,709,
635,998,671,702,544,065,904,140,311,094,921,906,132,457,386,575,359,186,180,
742,625,121,721,734,468,716,285,115,298,641,214,949,708,699,079,556,405,602,
375,271,846,816,815,720,076,895,194,688,389,748,508,055,366,368,546,083,738,
960,419,016,575,431,344,037,414,223,385,558,302,869,781,747,037,764,096,906,
753,487,010,922,198,648,137,720,058,401,501,833,108,983,614,323,507,546,837,
674,191,629,876,500,977,392,566,656,401,632,873,065,035,834,725,105,449,803,
827,414,911,199,937,825,810,722,252,669,312,372,886,192,815,293,864,044,236,
408,802,802,068,224,293,709,485,659,596,083,985,786,500,072,895,633,815,884,
455,059,008,685,085,493,362,671,966,351,388,415,345,658,495,841,924,043,620,
977,285,645,685,115,362,938,449,140,304,381,609,000,287,614,501,266,000,651,
825,259,039,186,755,826,233,536,981,172,443,963,998,655,224,482,200,712,310,
337,017,767,195,062,848,157,200,178,720,244,332,873,471,905,593,851,003,729,
029,921,399,268,128,764,363,746,675,402,184,342,380,290,725,536,180,877,284,
687,822,749,299,127,282,037,642,352,169,255,763,677,368,399,892,628,631,143,
084,669,624,321,811,509,793,537,271,307,710,398,716,101,648,080,753,886,227,
777,496,864,753,538,296,688,401,083,554,627,815,085,043,909,749,437,040,602,
477,563,730,807,595,581,533,068,220,097,542,195,101,088,329,835,277,071,189,
474,957,331,597,657,834,696,662,043,615,605,431,099,603,058,565,809,160,713,
831,408,977,310,077,517,824,737,697,015,753,004,715,448,786,850,426,142,238,
309,971,021,131,816,404,646,637,072,483,970,054,493,689,104,043,421,752,371,
454,223,745,622,333,705,414,277,886,092,549,881,413,550,341,731,868,322,145,
990,072,361,965,457,483,181,938,873,719,320,422,160,261,461,237,714,620,074,
493,281,261,352,320,864,619,898,956,726,006,870,667,789,012,978,876,602,290,
323,777,198,028,401,955,766,716,240,374,128,478,923,426,951,498,485,626,267,
591,355,090,735,934,859,518,234,858,002,405,285,638,676,278,214,258,337,553,
961,561,306,673,790,706,382,040,258,926,415,702,719,039,599,825,385,284,698,
728,054,767,052,375,143,788,323,029,015,850,511,699,974,843,352,629,825,570,
205,035,033,930,266,972,517,647,737,860,231,216,949,275,388,329,526,083,496,
664,015,126,828,340,473,067,606,341,270,387,177,739,887,774,644,412,834,500,
207,348,289,477,976,865,298,065,702,480,839,758,733,391,546,547,042,978,093,
485,290,463,836,901,181,627,518,419,014,316,476,985,707,558,022,039,205,269,
978,116,713,609,874,401,173,048,697,793,888,494,889,142,576,298,700,181,151,
424,584,260,508,633,810,966,089,412,921,066,106,914,857,101,968,576,808,115,
991,971,058,093,324,206,160,817,535,960,211,962,493,107,020,032,867,768,726,
237,144,403,799,744,336,335,507,191,071,152,656,829,274,010,887,127,861,023,
399,721,099,052,688,617,888,799,491,730,326,955,310,853,444,726,632,761,218,
764,461,496,744,826,787,012,615,518,700,942,522,235,959,257,129,266,652,344,
249,105,922,444,961,324,325,759,474,206,742,569,586,158,721,417,247,775,886,
976,762,106,184,107,527,705,147,743,299,577,350,836,765,714,098,492,422,619,
828,119,359,506,793,263,577,261,545,366,237,261,563,625,662,904,326,758,633,
667,397,506,582,012,936,185,691,376,335,696,324,986,294,995,077,695,461,433,
061,405,589,120,070,146,405,257,693,422,286,174,116,971,036,821,339,154,677,
442,756,108,224,948,107,710,103,058,833,303,127,439,853,598,859,023,161,380,
577,782,836,780,790,444,080,881,819,960,527,614,524,117,573,766,730,965,725,
452,106,841,065,592,038,646,510,095,750,120,047,657,758,754,798,683,969,904,
081,310,052,941,071,141,847,954,024,816,484,278,417,404,633,085,193,061,284,
771,641,776,423,638,192,223,657,747,712,653,998,045,265,232,981,002,903,435,
768,450,756,258,088,121,095,257,335,153,475,452,406,873,463,054,497,908,695,
256,779,560,103,041,200,061,978,885,482,534,006,488,806,437,211,137,412,451,
011,646,119,871,766,978,957,080,670,859,134,951,986,447,725,766,685,265,706,
705,158,884,803,291,573,782,591,604,319,977,575,965,507,708,570,405,784,333,
016,007,444,719,384,920,113,681,489,876,395,473,105,497,423,862,349,711,753,
836,359,947,165,709,887,185,796,370,496,123,885,901,941,942,705,881,098,563,
165,759,397,850,829,730,926,253,581,262,792,963,346,984,229,749,660,492,591,
391,917,287,375,101,156,697,920,898,645,341,051,620,523,045,127,038,496,467,
269,897,982,055,187,834,000,264,092,337,453,994,590,928,322,789,984,976,222,
055,090,866,576,610,974,807,713,117,148,522,584,866,794,810,007,616,318,313,
958,697,213,161,388,539,588,253,783,408,808,595,114,058,896,888,882,327,544,
489,375,572,418,126,129,967,375,036,805,617,370,664,111,528,487,271,105,545,
225,387,131,024,448,542,453,828,628,078,664,765,064,326,436,019,482,576,149,
045,872,560,987,234,567,811,165,140,894,876,946,070,373,995,375,279,553,621,
858,243,541,060,973,710,819,281,080,257,786,874,813,209,151,885,878,323,542,
414,999,367,801,348,031,071,598,810,159,441,662,312,380,496,719,336,914,752,
844,507,461,703,908,044,245,435,382,396,877,294,352,282,477,473,191,166,826,
111,116,866,128,963,910,749,933,640,556,301,089,313,125,896,892,227,465,238,
253,599,967,177,961,937,029,748,376,281,423,182,227,081,233,529,602,250,372,
014,762,559,474,321,128,569,664,791,156,940,326,718,491,241,805,947,792,641,
562,417,968,095,211,623,487,657,954,424,175,739,515,059,801,111,387,927,195,
834,772,177,936,635,724,308,522,476,984,592,202,030,442,248,309,958,501,288,
245,366,269,909,511,769,852,308,200,413,398,360,974,167,131,782,464,317,137,
133,594,045,939,975,181,059,844,511,032,235,136,684,339,321,370,541,596,116,
202,544,596,110,109,985,659,672,181,872,612,488,564,464,203,943,754,566,768,
988,106,629,041,309,434,633,711,386,784,766,606,784,886,295,419,130,752,684,
019,001,427,971,327,681,444,392,873,561,009,587,182,036,000,662,764,552,349,
194,468,051,293,031,178,229,972,194,889,132,957,816,473,505,460,757,562,489,
206,840,067,978,595,667,369,379,085,165,416,167,378,330,651,456,853,527,997,
729,889,187,029,533,592,970,167,432,625,659,807,401,008,228,151,320,074,026,
081,194,433,398,101,108,717,681,594,265,455,490,948,995,402,953,337,744,158,
018,391,357,171,336,283,487,319,466,212,016,804,068,561,510,878,860,343,156,
646,171,102,362,671,028,906,076,093,466,192,168,709,057,534,127,476,824,904,
350,657,002,870,756,124,232,724,242,257,050,592,728,678,795,909,925,991,898,
319,380,380,312,767,508,114,955,159,801,771,990,550,270,789,255,091,968,228,
388,780,093,645,464,581,856,044,369,196,496,482,362,274,325,041,049,490,819,
039,680,476,240,746,659,994,673,975,915,138,437,274,178,552,809,828,618,661,
811,902,596,925,632,607,008,954,412,485,022,338,937,296,337,010,348,157,817,
673,679,568,811,670,202,263,199,737,565,168,922,573,169,653,109,917,724,662,
408,803,114,689,232,096,830,303,956,671,815,158,356,415,033,186,143,418,426,
851,826,498,878,152,409,346,485,715,151,227,910,678,702,188,986,233,795,108,
359,108,632,615,395,920,685,464,032,938,059,792,128,658,978,487,976,947,500,
781,301,646,519,274,746,084,982,683,023,017,448,404,600,064,598,808,320,360,
206,873,705,352,187,154,628,533,796,822,392,604,281,703,205,955,951,387,846,
233,241,120,069,841,631,007,898,842,420,916,230,265,206,337,525,590,621,010,
313,583,471,896,504,616,328,055,849,816,052,033,768,255,967,715,817,120,439,
924,561,904,423,891,073,456,048,315,781,123,899,822,775,316,954,440,094,930,
643,128,775,808,623,673,679,523,550,421,367,013,993,263,434,030,556,467,889,
887,020,770,045,969,789,896,610,102,409,005,859,319,026,278,702,172,994,891,
560,059,951,331,033,739,182,927,127,785,910,619,988,982,755,202,326,239,364,
934,562,530,409,669,161,550,200,920,316,361,059,059,640,605,220,366,294,946,
856,861,470,679,370,459,303,554,233,788,307,135,388,868,840,242,081,657,204,
846,781,627,864,354,509,468,953,898,424,756,635,668,635,308,782,384,819,518,
979,050,153,442,349,919,894,133,563,257,438,773,549,603,744,929,491,478,549,
840,788,975,892,451,426,471,815,294,466,212,250,271,997,651,109,972,349,726,
161,553,703,010,524,536,522,637,099,691,541,131,425,098,476,906,064,847,923,
066,522,067,895,226,934,193,143,407,499,288,516,883,446,623,584,703,913,526,
709,905,020,270,203,029,287,747,626,521,657,066,919,290,287,833,321,812,558,
216,003,947,179,258,623,205,693,012,884,199,253,392,440,864,080,211,771,847,
387,325,327,360,513,893,874,098,754,022,040,224,970,919,789,794,418,621,027,
574,364,273,495,309,024,682,236,093,747,639,659,018,001,855,050,029,050,028,
074,198,111,936,447,725,716,371,255,936,513,382,226,684,418,494,171,121,732,
035,074,709,048,403,168,984,596,872,601,426,819,871,651,550,728,456,447,343,
863,185,970,581,959,047,485,451,774,370,356,015,684,911,293,569,812,130,393,
669,098,296,470,805,005,657,640,212,149,104,899,364,962,690,782,330,311,566,
434,320,771,097,787,558,416,350,030,487,139,033,872,243,268,899,841,218,772,
138,202,961,666,048,174,204,076,524,433,200,295,599,442,857,624,343,850,243,
641,581,750,484,618,405,098,463,307,462,114,678,283,680,933,377,359,121,528,
950,527,306,663,004,400,630,682,075,728,613,968,039,564,716,590,281,337,342,
189,736,573,797,139,135,137,582,934,935,002,161,069,996,125,674,132,568,143,
226,807,521,857,453,513,588,596,419,718,640,726,460,402,770,833,915,130,425,
334,016,293,733,827,119,382,051,976,126,030,301,576,796,456,229,581,510,111,
472,169,172,813,780,054,489,957,342,447,221,619,860,012,763,725,813,819,225,
759,443,203,402,220,045,584,295,669,563,934,011,899,627,521,131,013,770,446,
641,557,899,381,542,794,792,780,972,602,585,276,982,867,427,156,998,384,281,
716,460,784,075,374,587,132,267,058,616,647,373,317,912,203,479,662,262,306,
246,755,149,661,636,018,349,543,512,742,537,982,609,223,011,197,864,492,202,
326,171,481,404,800,775,892,295,555,554,361,841,143,288,300,326,087,248,758,
335,303,865,250,608,311,365,826,100,902,531,842,778,311,764,762,135,261,093,
063,267,231,499,935,365,347,324,279,044,227,007,508,116,860,367,153,887,434,
902,957,896,190,833,824,786,845,485,717,497,776,814,120,364,045,931,605,492,
526,078,586,592,567,741,233,884,413,960,120,066,276,794,782,125,568,607,231,
603,234,700,061,916,603,409,286,851,964,892,425,659,692,357,861,919,240,547,
558,329,187,384,758,650,638,011,943,549,585,393,163,096,188,809,485,011,694,
529,604,921,600,992,098,739,659,756,182,003,314,919,604,361,608,352,218,631,
147,559,676,275,836,494,653,557,226,524,095,630,162,265,037,514,145,070,991,
096,471,667,064,593,492,828,335,158,581,601,838,893,639,256,258,463,323,844,
982,797,770,985,121,982,789,031,879,407,066,524,494,640,782,300,158,345,212,
046,226,841,353,161,860,051,002,100,593,455,707,085,749,300,489,837,417,807,
994,489,614,459,392,678,928,434,809,802,907,197,005,410,044,262,039,814,155,
548,261,314,832,767,712,160,412,835,714,919,392,106,753,126,696,349,996,581,
878,250,215,804,736,957,141,901,933,309,064,487,666,871,244,695,577,617,197,
175,795,841,366,217,917,841,722,710,917,027,225,213,539,473,805,562,472,406,
551,545,662,295,537,133,917,410,073,859,677,362,904,760,973,091,182,883,353,
757,065,813,420,823,744,682,197,428,734,623,837,780,737,152,810,373,194,304,
717,718,915,480,130,560,290,408,199,641,656,047,340,434,387,198,617,551,630,
045,348,808,833,963,826,587,344,053,330,067,342,352,787,524,674,995,890,849,
028,617,298,549,742,228,576,483,208,689,688,206,597,953,595,868,025,611,484,
911,729,977,588,944,557,667,253,241,857,896,499,286,720,798,064,589,053,114,
687,783,459,740,143,032,143,907,635,055,196,308,593,769,484,355,565,377,951,
642,046,314,474,922,754,077,963,150,525,771,580,568,426,564,892,202,496,134,
916,115,257,897,176,301,096,167,947,883,009,516,812,698,757,167,070,843,460,
172,372,328,706,676,899,403,120,988,093,986,576,698,394,080,222,851,763,890,
442,105,842,738,054,041,974,523,278,871,182,945,466,591,783,430,938,148,451,
244,741,235,772,371,830,171,817,752,282,143,972,932,435,565,436,732,287,968,
838,158,993,597,738,372,170,164,437,362,984,685,030,202,068,184,324,181,648,
319,117,631,490,060,349,549,165,299,549,536,476,890,686,329,188,217,214,767,
865,646,620,254,480,176,050,329,148,946,847,453,902,018,024,599,400,857,341,
271,602,835,322,916,176,215,466,068,340,615,126,539,723,111,509,747,987,804,
233,443,993,689,597,294,798,425,484,561,823,881,841,694,123,043,854,646,582,
648,084,682,212,757,559,877,966,908,223,413,558,678,875,059,066,989,861,387,
752,523,161,703,183,038,042,627,500,689,075,433,200,173,710,006,479,981,444,
782,726,594,408,973,699,987,864,512,721,992,907,887,593,440,191,589,669,790,
412,427,173,480,069,707,126,601,862,127,447,834,687,843,241,575,248,370,847,
044,680,314,430,987,596,023,465,543,924,855,462,014,595,090,896,922,524,075,
806,307,137,672,993,271,968,039,444,581,641,900,297,944,868,196,981,620,944,
948,130,718,229,764,368,175,462,102,224,413,829,665,179,620,204,102,954,851,
529,173,569,383,609,332,116,320,194,346,437,518,021,793,372,501,682,466,707,
743,100,441,412,078,709,556,303,406,428,113,599,775,748,655,012,592,682,518,
550,360,242,538,077,779,113,564,238,675,901,165,303,584,017,914,444,813,398,
776,022,032,808,214,399,479,883,732,218,562,336,226,442,917,326,130,209,835,
186,115,074,774,409,624,232,789,751,252,188,144,053,904,457,562,146,504,417,
765,751,740,586,936,696,534,091,315,912,707,448,521,853,705,831,590,505,834,
727,197,204,673,747,263,459,550,046,814,806,164,774,528,017,900,258,933,569,
373,613,888,103,965,154,034,243,438,574,316,323,167,177,158,276,849,102,718,
720,605,883,680,915,683,946,623,633,959,730,011,232,737,234,035,338,119,388,
800,590,066,367,129,551,282,784,435,473,613,716,215,640,424,365,811,251,115,
438,803,113,778,394,013,859,216,429,005,371,015,124,525,395,438,616,958,191,
257,776,695,212,492,367,620,436,034,753,658,270,607,458,965,473,898,190,174,
288,237,488,193,696,275,471,552,933,896,754,320,177,798,757,686,830,367,120,
017,986,767,641,408,895,635,463,209,673,588,414,049,884,628,242,649,200,638,
149,275,845,212,481,815,729,383,266,628,814,015,647,088,015,215,347,710,480,
511,521,613,726,861,647,493,248,714,142,269,256,526,392,250,624,172,296,198,
203,806,630,948,198,862,121,177,992,613,992,049,520,006,863,818,240,837,961,
167,734,212,338,763,576,800,637,213,006,844,028,178,722,945,429,273,008,750,
017,986,185,294,268,072,430,555,434,204,780,948,300,494,607,381,044,397,287,
910,697,888,980,506,635,626,809,683,798,305,161,971,096,404,267,902,087,821,
995,860,196,578,324,188,479,997,339,678,130,315,038,915,094,036,709,998,243,
524,155,650,062,062,952,908,389,739,169,763,302,826,853,810,305,067,524,490,
011,597,838,666,867,517,836,595,544,813,756,743,405,532,387,060,386,384,812,
036,311,701,971,818,505,186,835,740,096,491,394,150,807,768,985,010,999,828,
867,230,414,252,474,660,202,615,015,697,954,245,664,437,468,501,876,764,297,
915,350,219,680,146,406,232,041,068,069,660,054,121,777,556,083,331,887,593,
071,258,478,310,614,249,315,292,023,511,351,216,897,839,452,843,800,217,847,
523,333,692,308,285,385,778,927,850,400,147,947,639,106,149,042,298,260,006,
525,546,932,092,338,798,493,299,010,692,501,560,109,167,954,420,933,791,846,
415,313,319,423,277,168,579,379,195,973,436,027,033,882,963,263,250,056,899,
991,295,274,205,416,794,289,833,503,731,248,855,597,431,274,514,861,599,546,
462,387,092,193,669,720,800,384,641,955,836,589,270,675,931,614,576,929,865,
288,984,531,560,822,842,631,220,803,826,990,774,986,113,449,537,518,628,058,
268,846,623,016,585,093,527,469,553,131,337,388,914,111,500,287,783,021,295,
139,790,882,189,699,321,913,396,379,520,579,038,083,144,116,932,999,054,904,
252,427,805,739,179,237,121,850,619,921,032,917,000,385,442,030,812,781,335,
878,386,195,475,695,644,774,580,571,479,096,560,252,306,300,540,974,427,765,
913,550,949,149,732,723,117,592,741,106,693,307,744,870,891,168,924,775,537,
855,624,819,064,218,288,555,757,376,881,400,385,065,279,692,589,748,155,960,
979,810,402,353,236,241,739,602,696,636,820,176,915,095,396,124,227,338,753,
885,454,454,591,221,292,512,651,116,950,863,671,658,230,741,531,896,450,687,
738,922,180,434,516,199,324,775,175,967,170,632,114,157,088,770,850,273,549,
460,813,868,319,769,305,350,449,058,376,633,289,321,068,692,931,802,099,060,
225,230,528,668,542,849,961,945,137,966,238,148,718,071,383,145,078,526,910,
678,325,814,629,785,124,230,516,692,701,310,208,002,304,474,456,704,728,406,
687,670,278,457,527,216,107,017,285,874,397,161,006,719,494,066,561,936,059,
029,707,548,743,826,584,424,620,302,614,169,039,219,488,628,601,426,960,622,
370,725,647,319,430,842,154,681,231,513,514,596,461,790,961,610,618,075,436,
646,737,493,889,625,877,155,764,158,454,587,959,151,156,319,120,371,353,236,
916,418,103,227,073,762,253,029,131,372,461,822,986,193,955,334,206,778,157,
854,790,978,261,375,485,846,955,472,685,998,805,638,355,199,452,066,747,386,
957,531,569,270,833,278,900,789,839,006,146,921,148,644,766,938,899,559,363,
953,108,665,777,901,577,348,823,992,232,622,092,274,237,382,550,145,052,579,
917,966,716,266,044,948,817,262,797,625,440,613,445,839,498,684,104,897,709,
332,294,807,001,570,016,988,435,832,833,669,929,091,829,481,899,969,061,649,
459,057,496,115,844,935,462,747,368,403,929,871,353,885,167,810,225,267,517,
110,362,637,739,639,480,967,137,492,051,840,782,920,287,151,561,693,986,054,
663,460,589,631,519,916,605,887,148,369,668,455,279,281,724,210,866,677,243,
695,739,374,091,101,957,100,643,067,096,396,696,453,726,013,912,794,217,132,
176,115,261,885,423,856,316,305,843,497,507,470,141,520,565,692,238,843,503,
043,383,027,398,718,109,068,689,557,413,860,685,380,628,966,391,023,961,296,
921,754,017,581,286,817,324,659,126,412,589,583,439,746,603,131,380,236,569,
616,117,025,567,760,170,115,282,214,112,545,373,802,308,611,989,834,299,701,
803,635,935,371,273,032,260,911,868,449,268,631,136,762,714,505,333,018,301,
917,245,400,762,163,953,665,801,010,552,297,910,415,001,595,923,177,153,061,
876,441,250,891,070,998,062,193,713,650,885,537,299,076,410,938,021,090,349,
303,175,200,959,537,066,604,133,347,559,454,033,052,517,938,595,772,013,484,
018,956,619,044,258,980,928,325,904,447,300,740,559,258,635,727,799,365,441,
492,181,350,369,933,177,100,909,269,124,018,615,077,533,665,527,429,883,687,
026,693,146,248,985,765,836,428,630,549,435,306,107,338,148,737,555,011,790,
234,811,745,941,377,085,007,857,381,257,116,298,768,709,489,152,661,322,926,
870,640,452,812,174,030,837,941,634,494,877,222,817,644,256,325,359,491,466,
514,128,292,695,014,212,210,212,932,283,633,752,552,929,984,989,340,066,789,
591,067,669,287,020,713,836,552,562,643,531,616,561,264,600,126,163,672,562,
780,579,148,154,269,265,386,291,931,006,155,074,029,291,453,583,923,834,521,
059,183,616,744,899,358,039,212,152,923,731,204,252,766,389,601,764,252,554,
508,685,166,540,934,458,590,732,318,833,731,279,834,100,886,084,503,347,726,
505,143,690,447,066,431,750,772,120,313,583,321,164,667,946,686,709,066,552,
653,288,888,763,350,469,826,652,267,307,986,805,243,765,628,536,576,916,070,
024,766,706,346,116,043,160,786,327,000,347,513,260,979,012,053,428,147,344,
907,822,014,758,272,051,507,472,604,502,858,843,769,362,784,458,011,993,456,
115,633,271,249,126,371,637,138,134,403,292,145,637,835,152,290,380,187,371,
946,683,768,443,176,723,164,268,959,974,395,529,709,679,255,280,996,153,626,
262,088,842,252,356,744,005,834,705,902,227,300,639,218,069,355,175,531,658,
471,572,891,101,955,265,080,495,657,161,008,293,941,750,218,978,573,789,422,
805,770,541,686,573,457,806,943,360,109,889,459,053,428,433,742,079,879,389,
184,412,566,283,112,355,821,802,640,761,436,028,410,530,908,446,663,482,312,
348,706,681,412,063,409,165,382,641,100,216,588,098,174,521,879,652,101,173,
042,618,332,441,854,903,683,896,448,157,138,832,328,868,654,864,690,715,577,
641,146,948,940,003,487,090,303,727,076,325,951,607,037,871,117,101,151,886,
054,602,102,299,296,532,325,490,700,267,899,777,145,379,776,339,728,368,589,
834,561,668,513,610,752,599,310,191,660,577,275,024,633,966,602,940,615,234,
024,705,072,303,417,635,483,105,690,638,687,193,020,947,908,087,528,358,421,
907,971,150,871,460,635,532,994,569,747,776,513,484,478,417,848,617,921,830,
862,391,060,186,016,621,255,686,802,997,661,299,936,919,649,304,219,121,999,
221,085,618,192,634,436,746,023,751,471,327,192,060,260,238,672,234,001,088,
239,172,205,487,665,011,099,026,711,861,407,112,171,908,370,724,998,941,493,
783,928,896,560,870,822,250,601,998,229,714,145,381,039,604,200,268,601,053,
993,941,832,413,502,008,073,097,328,913,601,495,665,293,479,810,943,071,957,
793,148,634,989,452,251,095,981,300,997,229,266,796,346,487,948,809,301,154,
519,811,052,971,025,203,853,961,505,792,026,963,594,123,769,221,428,810,344,
817,140,288,669,864,709,742,825,768,805,114,560,639,669,976,504,200,996,439,
325,754,873,402,109,457,876,873,097,815,789,838,021,321,560,633,102,363,308,
794,222,592,532,830,177,050,030,402,977,656,540,723,402,869,433,356,840,424,
272,349,641,240,802,458,794,070,060,137,317,171,738,715,138,860,115,382,858,
773,839,618,272,920,665,288,987,226,053,297,555,942,900,707,347,678,533,168,
864,466,558,655,571,304,909,652,765,967,416,278,926,246,705,470,337,029,445,
577,957,688,347,924,606,006,052,595,875,451,930,045,269,567,418,526,606,588,
547,122,661,871,477,091,124,429,755,522,303,074,124,581,035,837,967,669,464,
027,452,148,558,137,749,158,194,978,148,811,767,483,639,713,433,432,669,516,
983,607,626,161,694,181,368,151,115,429,599,548,195,257,356,745,756,406,275,
307,357,661,718,910,293,304,442,050,753,176,042,024,213,530,683,790,822,316,
204,501,290,231,947,246,467,801,648,220,571,382,733,502,962,509,250,051,691,
286,379,494,044,419,185,534,117,480,413,855,007,881,787,254,548,944,928,881,
736,694,375,751,127,248,377,813,681,481,860,392,688,429,299,491,573,443,055,
506,702,578,259,646,460,149,488,107,933,718,457,813,877,956,994,791,988,652,
922,148,114,670,131,795,285,298,197,097,762,783,008,715,892,049,516,082,284,
108,934,638,396,447,584,379,187,931,231,356,520,744,351,066,039,049,496,901,
741,316,418,816,351,318,716,721,079,260,170,829,470,732,844,395,835,110,797,
030,194,060,377,515,694,269,120,409,369,565,510,160,824,635,194,689,929,883,
409,580,886,619,202,513,638,079,401,098,662,267,149,112,149,013,014,984,629,
964,069,877,034,408,051,955,357,295,140,656,148,519,538,615,064,815,951,836,
331,114,135,075,386,602,802,867,769,466,448,426,306,349,335,465,332,407,171,
838,137,362,297,023,131,724,678,710,886,006,140,902,438,227,853,444,863,959,
022,531,993,563,689,060,406,419,081,704,985,351,699,007,695,289,987,524,789,
184,013,218,154,519,511,394,724,890,377,991,112,228,778,367,263,111,046,298,
816,199,990,114,433,857,334,926,260,708,208,654,516,672,736,948,707,769,336,
703,628,115,509,363,165,423,559,820,715,503,176,718,733,126,212,906,519,112,
324,035,222,821,051,689,099,661,920,347,401,219,622,143,812,180,720,043,323,
780,898,274,297,158,963,842,573,034,911,965,834,689,284,049,542,463,166,619,
782,243,043,487,496,348,082,234,656,292,696,837,874,827,264,683,819,586,482,
559,143,739,578,078,261,787,145,989,947,427,962,624,946,967,103,413,082,214,
134,142,789,787,302,092,972,619,383,860,319,363,622,779,059,394,408,993,281,
582,182,719,366,389,318,312,291,499,565,553,188,026,712,243,773,371,089,533,
946,398,557,688,941,620,596,987,848,786,168,552,186,291,755,257,040,681,721,
520,531,423,185,630,448,027,954,203,800,369,440,467,083,964,308,640,658,903,
562,461,400,930,897,114,064,040,479,310,576,938,300,827,597,382,395,007,007,
635,084,023,376,499,990,347,581,383,071,805,072,157,717,564,502,663,634,867,
373,612,336,150,999,289,077,627,148,910,783,964,830,984,693,712,384,776,197,
904,597,211,209,932,513,947,524,371,625,645,439,490,187,132,337,650,320,637,
150,460,966,702,041,137,445,685,918,122,481,517,381,974,329,467,155,327,526,
724,590,298,799,467,559,719,028,163,304,339,044,781,226,649,726,410,635,909,
520,995,708,840,893,223,965,350,763,955,430,102,751,189,063,255,165,972,703,
913,081,396,355,365,334,665,031,850,352,618,313,454,543,531,568,519,349,728,
222,817,496,921,491,698,107,551,710,960,381,553,672,448,500,485,018,566,194,
515,546,467,213,506,545,609,105,324,444,365,273,101,751,264,528,588,563,525,
403,866,973,164,050,621,379,822,667,870,457,046,479,445,093,370,084,173,442,
748,049,803,033,585,849,861,297,866,860,377,615,991,240,045,334,007,117,914,
863,181,949,139,655,170,732,778,771,715,700,746,685,979,622,436,059,401,117,
352,888,529,315,968,484,661,494,596,362,203,599,036,138,675,807,434,521,694,
765,975,607,436,211,068,357,368,998,378,956,597,660,088,601,146,508,416,715,
832,542,239,247,988,890,198,583,794,166,419,089,144,574,611,386,611,265,824,
221,568,586,917,773,688,618,344,762,348,194,598,411,806,241,957,705,490,708,
527,559,433,345,615,530,611,407,685,445,667,180,977,023,336,217,187,071,738,
637,900,358,156,582,115,815,133,039,383,639,242,594,558,840,769,478,306,558,
802,542,331,173,317,831,802,554,304,463,316,933,317,366,278,685,721,851,663,
974,507,078,650,093,952,808,879,476,574,154,313,094,749,740,552,394,633,481,
418,041,096,278,451,869,098,216,792,476,728,630,763,017,181,434,812,641,646,
345,821,129,042,797,229,453,996,028,294,610,621,151,367,852,948,854,781,365,
844,403,538,510,918,575,755,498,902,777,870,651,315,277,062,312,798,061,322,
862,922,400,572,099,739,367,591,258,874,681,092,232,594,196,934,538,094,591,
797,804,167,648,980,058,090,507,513,593,092,127,542,652,034,139,122,583,436,
434,402,103,887,447,384,615,463,886,376,789,697,221,229,299,091,811,194,063,
523,880,014,033,807,971,196,883,512,795,731,448,939,627,597,007,478,827,448,
476,299,923,938,888,734,110,047,323,386,910,710,976,996,520,505,863,307,732,
494,243,178,486,112,046,110,476,568,496,513,300,282,642,989,799,486,681,664,
886,583,091,350,165,259,158,409,707,555,139,559,883,276,717,466,458,226,139,
677,411,933,182,456,700,417,565,701,331,055,103,220,699,199,675,878,451,324,
251,906,879,582,123,640,776,269,226,846,052,911,789,813,342,630,330,918,606,
890,979,160,363,373,366,614,800,463,319,823,836,147,241,503,660,672,666,320,
454,388,543,132,360,365,547,630,407,314,195,588,599,695,064,853,706,827,983,
698,856,290,369,128,605,013,823,617,994,143,367,646,948,109,759,528,528,239,
646,030,438,306,470,099,994,254,768,168,379,515,341,392,281,411,080,447,451,
616,972,534,805,321,498,524,721,406,675,795,262,062,471,837,963,877,531,913,
959,908,550,099,032,756,203,451,332,230,361,843,152,498,321,215,491,341,800,
887,174,759,089,475,431,495,743,063,086,291,242,248,867,111,466,720,829,776,
127,894,563,890,974,890,913,495,809,928,599,828,457,497,676,795,676,345,604,
350,412,343,320,168,136,126,134,257,803,264,633,744,099,417,833,385,020,615,
888,230,929,089,348,232,250,406,191,266,959,777,390,935,542,827,003,199,870,
742,804,880,460,523,829,392,574,567,302,144,625,201,732,705,213,163,235,428,
073,876,599,698,596,000,918,308,963,934,905,729,839,155,730,944,580,653,440,
891,506,550,665,008,132,429,060,319,368,737,919,664,836,495,429,369,980,861,
058,149,779,455,297,104,244,317,077,411,931,425,416,940,377,130,034,566,938,
516,706,529,324,459,863,439,236,783,725,242,153,001,200,446,550,978,828,129,
996,353,564,696,072,062,068,939,407,634,409,248,207,984,173,563,373,405,244,
299,822,853,340,350,650,964,535,739,789,953,818,876,431,019,702,449,668,335,
421,287,765,134,639,293,494,386,158,691,261,763,818,828,645,999,296,237,342,
149,974,857,731,428,341,411,161,765,942,222,838,981,331,806,321,779,690,626,
384,140,366,627,817,008,952,609,472,593,668,453,464,525,601,882,524,281,637,
718,173,292,318,546,445,683,450,877,079,832,710,655,142,457,063,068,359,076,
580,762,573,891,717,306,702,253,572,025,707,959,379,654,778,858,916,442,225,
143,612,215,923,625,003,643,115,049,872,095,374,860,368,413,874,155,359,700,
649,820,497,069,631,775,128,445,915,403,481,239,607,393,900,288,347,424,914,
566,793,794,280,438,556,452,327,543,952,549,665,615,551,997,426,186,324,396,
501,124,094,524,260,278,709,267,133,784,462,939,748,990,687,768,525,537,153,
251,677,950,250,894,122,412,076,219,761,971,376,062,537,857,809,857,834,009,
186,607,530,309,975,142,219,915,946,774,635,916,486,427,483,377,104,670,955,
745,350,010,339,355,894,602,493,440,360,834,273,187,436,652,317,007,986,737,
061,335,817,556,440,545,481,745,300,368,134,876,097,309,009,802,880,779,551,
548,031,538,814,373,192,777,360,407,814,031,339,519,235,359,299,830,054,070,
061,389,075,460,712,724,371,491,907,459,599,218,121,883,055,540,137,486,147,
773,042,668,350,515,420,150,504,591,306,546,550,258,453,683,313,862,959,230,
374,982,182,916,076,743,273,618,434,252,792,997,060,631,458,273,993,343,891,
133,406,838,053,722,078,700,022,651,158,247,535,187,778,747,655,210,696,201,
932,150,539,715,685,876,347,758,841,875,661,433,311,750,777,556,748,055,944,
302,400,830,566,221,107,475,008,635,179,372,010,596,119,284,142,945,904,655,
256,374,270,273,267,314,595,662,226,308,627,992,118,323,773,131,113,643,540,
135,719,378,733,632,435,641,016,709,843,608,625,389,132,265,431,006,263,667,
631,149,622,963,230,023,980,393,305,444,155,757,902,650,991,200,481,944,652,
887,086,165,254,531,605,656,543,566,262,276,309,522,144,166,501,044,218,764,
479,423,801,809,217,559,583,842,329,529,419,437,005,620,457,666,256,479,097,
964,846,102,302,128,579,979,142,579,995,404,288,061,513,660,129,635,120,808,
387,130,209,373,974,468,463,213,207,484,451,475,637,971,735,662,402,610,359,
422,129,108,629,390,801,861,899,980,925,264,197,101,503,916,279,454,956,103,
227,382,443,143,657,733,958,743,125,566,694,531,831,562,873,540,308,795,789,
119,319,978,693,211,630,967,643,409,713,188,068,666,125,831,150,162,641,846,
832,024,618,841,537,345,870,623,476,365,152,242,833,342,768,348,424,437,445,
485,130,131,726,337,201,003,080,235,025,336,207,874,468,106,877,718,212,764,
405,312,673,316,388,730,327,246,923,077,555,538,310,317,711,221,483,474,382,
211,280,237,808,426,230,600,241,441,393,560,381,003,821,510,076,233,839,718,
031,404,482,547,948,666,771,489,766,648,107,583,296,772,672,529,362,019,217,
252,502,201,811,102,333,298,590,278,657,216,930,532,635,855,787,741,375,085,
871,851,707,997,448,553,549,400,812,007,664,546,608,889,633,518,481,465,625,
820,277,307,504,494,592,007,526,655,622,295,489,424,977,749,223,636,287,510,
427,200,785,665,497,778,142,571,641,961,390,253,985,485,747,035,640,584,224,
626,501,480,826,037,694,958,581,694,628,964,716,774,097,151,272,645,483,490,
424,356,104,172,089,903,664,581,872,122,432,319,003,837,946,699,938,698,753,
027,728,863,962,986,619,769,799,221,023,220,597,623,120,700,946,686,303,058,
856,302,148,246,221,433,710,899,513,610,165,954,925,717,450,751,687,259,552,
874,767,179,428,757,938,576,002,344,052,697,188,490,073,317,032,114,625,127,
847,709,219,057,146,660,799,603,403,544,618,997,110,368,095,235,874,080,210,
495,495,356,731,368,382,699,277,729,052,957,265,021,152,350,677,960,095,986,
244,786,890,443,955,182,352,145,326,981,599,230,892,936,108,802,358,762,427,
415,309,187,083,879,817,749,079,418,601,914,649,178,752,201,377,229,689,457,
234,808,139,663,026,759,888,004,807,679,656,010,359,351,176,533,023,094,562,
982,501,051,220,049,744,465,617,824,616,939,984,471,539,753,695,967,306,529,
355,524,414,484,647,671,463,764,859,928,476,895,929,835,465,113,521,349,520,
637,759,071,877,726,680,693,401,575,897,414,909,592,699,467,244,817,226,536,
374,132,332,995,774,347,778,310,142,428,506,817,303,624,992,518,281,058,342,
721,208,505,928,052,021,024,323,019,515,344,956,808,112,573,058,960,575,413,
655,057,184,731,163,703,591,110,854,390,576,317,612,307,378,096,666,125,249,
699,061,180,457,558,513,271,517,920,872,074,045,924,572,612,469,963,520,108,
238,819,457,835,490,830,587,339,687,271,504,487,691,852,861,215,884,257,379,
437,276,484,540,088,233,882,239,251,703,917,345,360,868,393,173,048,171,590,
391,227,492,195,413,638,483,063,928,788,327,865,006,812,615,902,033,502,565,
068,623,848,947,463,406,848,120,847,905,174,781,117,020,093,794,205,793,261,
235,588,808,658,512,332,703,894,104,322,606,597,659,132,779,734,955,305,265,
286,031,067,966,016,119,573,683,958,603,188,958,015,830,938,056,967,236,713,
006,002,465,163,914,100,627,428,712,699,188,436,817,387,565,071,409,603,400,
279,960,515,834,530,981,450,078,107,683,726,385,596,410,476,067,394,027,437,
510,488,100,555,593,034,587,358,527,591,002,976,391,704,181,829,241,896,400,
762,335,744,028,831,202,250,517,458,642,922,653,759,282,683,444,751,198,813,
943,218,657,135,132,002,411,634,302,312,327,211,088,700,855,212,082,536,754,
726,450,529,818,327,869,997,825,554,605,265,265,132,373,197,284,844,552,344,
605,486,946,071,423,751,854,365,525,325,422,217,501,530,231,427,253,706,367,
794,454,189,860,546,848,950,617,680,640,573,532,716,434,223,279,368,627,768,
157,351,355,276,578,966,226,718,622,289,333,349,696,041,272,999,522,734,659,
450,268,194,116,608,405,460,569,565,625,573,238,051,582,191,945,950,300,158,
194,970,283,516,695,746,235,501,429,468,464,397,562,211,550,801,880,033,083,
230,137,199,157,984,873,238,745,058,552,596,040,483,396,498,872,453,932,119,
883,691,796,627,947,468,950,844,927,861,343,870,900,427,357,415,166,554,768,
031,096,027,312,497,671,079,203,774,610,166,939,007,202,649,008,338,804,608,
017,102,086,215,021,776,972,018,355,241,212,990,660,012,348,236,831,853,089,
037,960,214,269,361,149,718,830,155,249,677,314,407,939,339,457,628,895,731,
058,998,562,248,968,082,587,670,704,606,178,080,579,780,853,418,569,653,816,
157,176,588,450,025,942,655,774,306,485,090,933,296,670,785,879,604,803,767,
107,960,795,996,303,915,829,194,869,532,625,371,110,464,435,548,123,242,821,
929,311,010,050,917,926,425,317,715,055,739,478,083,313,665,737,442,864,882,
797,523,500,400,042,687,987,705,234,497,700,994,541,645,589,871,944,330,802,
744,825,101,295,840,492,269,067,019,486,181,172,408,559,845,800,614,489,479,
547,105,714,802,305,023,726,377,734,048,915,926,135,269,975,878,137,945,293,
929,608,006,396,639,784,705,651,011,320,362,061,147,196,289,084,666,406,226,
261,061,315,696,143,245,922,461,824,952,851,017,070,231,482,636,765,176,957,
611,138,840,568,694,284,825,682,719,932,610,142,116,169,037,731,445,988,363,
650,135,845,014,729,495,017,358,758,412,598,870,001,305,911,866,444,719,355,
820,926,158,526,676,092,806,768,017,142,740,701,243,979,153,263,867,737,815,
592,509,661,464,331,699,860,756,733,211,565,767,352,241,555,097,386,468,946,
913,019,679,094,742,674,760,271,445,005,785,176,273,013,373,709,021,239,641,
409,520,877,712,340,157,705,374,084,539,992,491,396,904,684,906,492,562,059,
160,892,824,575,621,414,811,288,638,907,059,187,235,025,460,637,407,581,270,
678,485,628,371,021,049,092,204,526,722,880,423,268,817,260,462,286,790,768,
107,248,800,137,968,539,645,104,004,978,187,657,648,893,058,535,675,233,634,
030,644,893,266,743,500,320,731,423,188,696,467,099,675,611,535,790,415,522,
311,505,505,311,522,065,406,101,075,943,130,127,004,806,298,011,872,476,546,
907,509,439,129,056,125,919,809,694,599,926,827,297,005,675,721,424,069,552,
472,012,426,586,325,319,933,768,320,475,812,918,332,799,920,229,115,823,330,
910,764,905,606,379,798,206,472,362,401,743,339,003,584,139,031,006,153,568,
616,914,144,691,802,210,036,624,468,044,810,583,750,810,242,743,818,242,056,
717,107,134,011,825,893,384,319,292,744,286,762,466,734,991,746,951,261,060,
624,117,061,212,966,707,339,782,121,003,888,414,581,016,918,209,084,646,400,
497,984,111,280,044,115,236,374,855,905,563,251,632,129,047,608,064,388,048,
306,049,223,629,404,719,210,946,893,647,073,546,775,361,452,663,425,046,346,
200,735,325,328,211,942,840,728,344,428,426,970,103,025,289,131,189,899,904,
122,981,944,140,185,053,772,581,232,558,578,224,885,373,076,877,855,277,474,
622,471,030,889,857,439,337,097,201,835,793,852,677,038,284,650,053,077,306,
448,681,445,168,242,348,409,226,892,628,269,746,089,027,466,394,148,705,921,
911,310,978,655,818,862,759,768,907,203,552,233,876,666,232,127,058,667,350,
276,211,674,100,414,230,312,859,502,008,808,470,060,074,753,204,925,317,867,
891,561,260,437,143,950,721,774,079,008,483,829,448,828,844,956,731,667,501,
400,334,376,009,143,902,974,073,795,047,370,034,318,454,929,036,695,497,031,
423,017,169,279,394,025,460,670,741,697,117,072,752,278,196,334,772,563,293,
035,967,543,380,198,413,672,195,013,703,845,814,648,907,610,003,060,138,082,
983,705,061,071,377,062,323,663,069,342,209,333,782,672,530,905,329,955,451,
922,893,544,309,750,490,642,612,430,554,562,853,801,228,821,259,587,033,088,
918,658,314,301,730,389,571,996,155,304,782,936,831,530,299,390,999,167,975,
673,002,146,516,999,689,172,686,141,910,262,007,866,715,224,938,244,777,218,
900,057,997,118,887,278,488,469,481,627,341,961,543,133,345,549,099,926,255,
064,517,066,601,865,000,554,134,111,588,748,734,933,486,540,770,902,236,443,
318,691,343,381,775,618,715,410,588,609,510,404,330,887,712,308,546,132,143,
762,405,769,771,828,881,435,032,804,631,216,112,536,048,826,612,234,944,479,
063,785,398,754,853,344,892,448,113,223,739,938,213,278,617,282,091,778,323,
439,269,204,469,512,715,560,602,722,112,427,430,342,484,794,478,151,919,824,
981,390,160,823,831,738,765,730,667,679,526,252,666,011,623,338,714,379,867,
542,044,597,839,786,058,747,888,012,583,037,901,551,026,953,010,211,058,572,
443,869,759,623,338,837,372,169,980,856,710,402,959,271,053,210,729,742,424,
935,221,060,452,062,947,065,274,232,122,566,763,857,933,386,040,524,410,621,
885,111,490,094,874,296,409,839,666,074,057,178,255,203,134,118,859,001,790,
017,742,125,384,839,081,164,515,384,292,357,517,695,262,911,398,738,729,620,
255,791,669,688,805,429,242,679,438,666,390,545,457,356,223,435,971,119,311,
001,380,689,006,827,968,534,958,569,604,701,575,549,123,230,799,501,321,000,
361,985,647,537,222,635,623,310,750,311,795,309,032,218,776,602,681,746,967,
308,238,505,992,109,267,127,523,158,759,065,960,726,282,108,876,662,782,803,
405,148,402,160,298,679,794,927,725,928,070,844,006,825,586,207,968,448,104,
119,544,660,177,660,581,464,009,574,598,914,076,322,512,552,890,519,073,243,
428,823,614,327,475,240,422,152,145,848,816,670,892,460,110,472,917,292,662,
829,391,787,759,287,929,430,844,117,781,557,124,738,549,788,697,677,585,498,
597,019,565,089,660,714,573,440,508,236,822,482,016,703,630,629,731,022,590,
028,214,550,854,785,733,452,830,606,385,207,070,175,323,444,997,742,138,143,
380,283,982,668,382,433,337,783,210,881,554,893,928,391,165,971,401,452,334,
222,083,838,127,452,637,893,388,907,996,837,455,386,259,866,990,938,187,084,
903,114,135,787,576,778,012,033,940,318,437,940,770,484,547,509,582,036,208,
090,929,849,973,386,752,802,753,410,280,146,652,107,240,391,989,755,628,279,
753,642,362,953,830,530,446,664,010,362,294,436,928,047,230,428,617,055,889,
741,017,590,307,396,617,420,679,241,172,346,305,588,453,493,417,507,436,212,
278,193,220,761,070,877,289,154,052,199,120,438,246,379,263,420,969,615,613,
717,584,904,000,118,791,582,363,193,524,165,788,887,977,646,238,458,691,655,
368,954,098,621,113,777,733,303,723,631,328,690,643,910,751,671,475,314,225,
698,093,123,398,462,506,513,387,639,372,846,163,525,786,028,773,538,453,649,
799,485,247,695,047,456,159,492,609,016,377,736,200,844,385,482,627,942,119,
700,812,454,818,062,761,968,387,238,768,083,966,977,930,208,652,109,694,083,
530,412,350,814,592,642,309,050,256,660,845,602,832,235,546,607,308,755,059,
285,384,909,175,920,374,348,146,186,920,422,263,544,103,631,545,941,096,582,
886,841,518,093,815,466,181,798,859,158,070,839,721,967,064,650,345,244,221,
308,467,913,974,184,810,868,143,983,642,224,639,521,227,538,831,269,068,677,
907,582,922,075,078,108,344,200,634,500,729,891,489,672,471,368,856,202,803,
089,477,671,702,635,062,106,003,039,474,431,043,641,230,663,434,068,545,364,
701,134,034,366,863,998,296,587,928,633,779,723,070,024,858,272,865,564,742,
979,988,583,095,076,338,025,303,337,597,795,633,037,203,640,961,795,595,657,
399,429,056,895,343,204,651,485,418,627,216,970,936,493,048,979,587,261,448,
801,517,457,971,663,451,878,723,971,734,190,501,673,727,986,643,375,925,171,
276,092,591,033,473,225,189,763,179,189,110,885,872,995,843,582,827,342,014,
977,963,571,489,802,117,445,647,215,816,565,416,859,950,333,976,076,569,297,
520,116,513,631,078,301,864,498,121,444,984,849,311,433,230,479,307,696,986,
547,212,955,554,618,229,427,878,785,609,225,964,882,155,389,833,661,356,414,
449,345,222,639,145,902,348,877,283,322,738,490,780,784,388,317,480,060,205,
496,336,285,335,953,804,278,400,829,679,640,805,441,702,925,785,860,558,219,
055,177,497,513,247,206,751,528,601,164,573,897,229,666,094,066,176,413,394,
487,752,930,021,520,776,725,444,196,458,926,596,261,569,245,054,232,286,152,
379,007,969,269,617,146,921,003,461,570,552,676,715,384,287,980,994,199,965,
544,659,921,647,802,583,108,098,238,527,602,509,871,473,857,609,376,325,044,
266,855,459,456,189,234,433,428,071,897,557,609,838,035,887,948,108,845,990,
435,093,638,349,978,951,398,957,953,929,608,147,266,729,487,718,142,709,779,
750,820,894,837,757,559,017,687,170,434,164,361,825,568,616,361,556,392,119,
000,808,631,253,245,066,718,474,344,379,230,755,860,197,513,044,544,866,214,
420,219,463,029,499,426,728,769,216,989,047,964,355,035,821,029,107,057,097,
754,349,495,789,822,305,018,607,233,363,704,946,532,984,436,814,238,140,293,
912,896,726,043,777,395,015,464,207,118,922,217,611,458,210,980,318,378,126,
396,159,651,536,881,365,151,480,332,903,076,849,497,965,121,931,935,103,464,
864,265,463,696,628,946,344,989,202,364,888,040,277,597,354,989,930,671,985,
585,939,953,817,793,986,415,888,825,863,533,606,880,158,808,623,024,929,419,
036,255,617,923,065,766,436,656,112,657,573,409,944,742,626,150,808,248,577,
559,198,871,411,132,515,527,990,252,879,328,780,061,696,670,072,128,393,662,
724,025,764,639,865,769,174,063,990,991,024,672,437,080,164,531,287,484,718,
868,502,298,351,024,900,485,596,564,633,533,041,848,393,938,362,610,531,838,
228,976,069,557,781,695,839,871,918,245,357,531,760,623,434,116,950,739,294,
268,274,656,288,427,798,592,405,271,264,767,162,095,035,487,438,783,816,925,
363,658,950,945,622,004,150,082,281,299,178,367,976,883,107,809,369,621,850,
309,105,231,225,722,135,072,639,428,421,169,946,313,909,835,511,449,776,218,
869,852,977,079,928,696,065,814,256,230,484,408,659,840,686,499,896,828,689,
919,138,648,267,403,383,284,156,703,770,262,128,019,347,854,364,942,547,829,
937,321,514,693,664,664,821,494,810,202,339,523,581,855,753,991,046,254,568,
842,344,159,444,669,371,512,202,931,506,479,387,226,643,171,386,871,453,227,
238,804,061,604,259,604,900,372,974,290,850,331,960,260,796,706,174,260,312,
048,167,675,959,357,205,964,177,009,322,636,178,501,656,929,000,315,840,425,
294,743,411,265,028,630,054,462,686,238,100,141,798,851,235,252,438,280,728,
892,149,643,759,282,360,352,083,528,082,816,232,667,629,823,341,466,492,971,
134,147,171,638,244,575,687,427,834,266,626,158,802,345,496,626,076,083,466,
154,742,538,156,523,271,819,017,641,771,243,330,383,244,184,852,351,022,927,
307,195,534,968,929,658,114,496,405,074,005,799,864,413,010,229,497,179,411,
380,895,352,863,003,895,579,694,235,810,005,241,563,536,383,043,568,811,905,
702,703,694,508,578,291,930,945,319,405,241,759,992,262,233,155,730,780,713,
160,461,862,989,250,244,358,288,809,136,271,208,525,187,086,343,288,851,368,
306,799,035,759,065,554,080,036,573,954,994,616,887,945,528,198,835,284,516,
098,018,585,797,961,186,843,757,060,306,893,658,113,658,388,929,349,041,586,
899,664,697,867,994,580,776,420,680,148,196,018,240,159,987,711,763,529,437,
741,764,078,068,823,353,911,793,598,159,789,216,377,965,678,737,913,650,557,
719,298,009,911,552,151,400,015,164,465,348,701,828,524,862,156,738,015,131,
204,244,869,042,198,921,396,614,712,272,479,228,120,692,744,305,763,620,063,
075,712,102,724,657,560,281,432,877,191,505,329,215,187,381,393,167,163,189,
617,773,410,135,901,579,679,000,520,917,587,062,472,399,080,902,778,814,013,
841,093,919,091,551,432,690,153,393,414,542,613,392,223,260,838,084,754,527,
167,669,580,761,197,822,019,790,716,659,732,289,512,920,372,209,296,203,120,
584,265,920,297,720,384,702,989,465,996,008,487,180,258,143,800,264,287,085,
824,121,818,100,393,733,628,687,348,489,976,963,712,170,361,951,981,864,528,
666,876,375,475,694,113,680,954,117,158,918,308,513,055,710,644,735,893,222,
894,162,566,991,403,982,466,488,980,177,006,362,075,336,438,233,528,627,680,
989,093,258,696,134,880,329,807,314,888,288,838,265,745,079,710,209,316,966,
425,304,244,663,616,013,625,417,298,651,057,934,428,459,177,171,091,300,209,
276,824,944,507,705,905,615,708,997,444,497,161,548,882,164,318,428,702,495,
347,095,773,063,350,660,587,233,313,798,901,127,126,389,707,378,777,571,949,
863,388,198,776,766,005,794,266,038,836,884,291,764,254,306,914,190,263,076,
154,307,131,572,934,262,563,913,288,064,298,885,326,551,891,588,680,111,784,
227,021,898,059,423,558,357,051,355,813,639,978,971,844,486,197,094,848,762,
367,022,775,888,934,378,857,857,565,136,801,592,921,508,611,679,862,690,953,
477,396,941,691,215,544,009,127,127,212,525,886,680,015,933,247,374,576,629,
033,788,680,589,838,550,201,115,450,689,154,781,962,930,906,045,584,008,791,
272,965,796,160,961,003,519,299,497,999,331,476,753,401,346,223,803,977,594,
933,368,752,033,280,189,639,520,979,102,438,326,909,434,026,876,586,925,656,
013,993,939,560,014,523,490,425,971,309,708,116,087,787,993,508,336,636,556,
421,955,626,627,058,738,965,946,936,435,036,981,142,895,604,346,473,365,933,
318,857,338,714,273,700,844,955,754,467,182,716,153,351,523,282,210,816,277,
829,856,051,621,709,379,468,440,225,741,721,797,882,627,063,518,170,487,511,
058,580,265,443,978,469,455,152,383,812,384,397,498,242,727,150,793,591,025,
895,668,207,430,226,324,796,254,727,115,726,579,455,172,044,715,228,021,031,
863,323,513,714,888,308,830,571,620,349,308,488,289,204,784,857,477,368,869,
123,504,379,120,694,341,687,473,141,069,433,689,169,302,030,293,311,567,060,
858,924,929,274,056,843,370,094,924,982,698,315,918,646,700,252,994,236,396,
737,016,228,223,602,136,666,011,736,811,644,549,348,530,423,505,839,533,797,
294,468,510,173,627,897,576,861,816,679,180,383,390,652,716,353,057,035,442,
157,025,417,243,067,191,275,377,914,136,818,436,782,250,069,859,921,776,908,
601,705,139,635,728,032,008,258,656,986,292,068,912,395,140,007,723,515,261,
863,693,831,689,725,964,658,662,676,590,443,623,192,044,661,990,320,877,157,
945,472,724,845,311,549,325,461,622,259,364,143,679,325,604,042,817,759,039,
014,144,054,652,200,903,478,338,302,791,842,688,248,268,188,520,828,773,597,
582,608,133,462,939,582,397,748,905,382,380,221,135,582,112,666,896,590,479,
200,019,950,859,349,638,743,828,629,405,989,900,523,162,620,184,645,476,532,
562,252,664,390,704,683,480,963,353,220,324,063,513,607,659,396,587,155,771,
138,850,769,115,884,311,706,634,904,576,560,795,769,010,389,756,177,540,893,
878,242,530,582,010,757,978,728,782,602,514,857,486,768,573,729,275,029,432,
358,786,131,155,502,402,992,452,324,201,706,103,893,722,470,176,387,808,169,
117,754,826,626,070,551,574,859,176,873,552,970,183,341,208,001,763,961,588,
188,707,956,306,144,899,570,028,728,253,766,478,359,268,128,019,579,994,085,
339,054,418,194,763,562,535,846,161,400,375,922,671,861,224,187,741,562,210,
560,275,558,926,904,552,829,399,648,462,237,257,953,343,387,817,275,058,842,
807,031,937,251,145,788,560,256,541,378,653,964,744,791,552,963,619,206,867,
130,376,386,395,724,915,159,450,488,681,424,568,373,452,303,882,501,289,735,
657,465,333,850,808,288,357,188,136,689,861,837,214,655,030,507,732,279,117,
709,437,504,648,827,058,532,868,944,590,657,502,550,516,954,531,158,051,418,
201,289,097,486,320,543,511,706,743,979,551,937,993,889,414,976,768,511,975,
091,647,287,401,650,547,602,296,152,037,686,302,684,878,450,056,803,956,436,
577,428,116,579,545,330,074,612,777,868,790,736,158,285,397,720,664,688,784,
544,896,304,507,405,170,031,751,779,320,271,915,042,637,843,582,781,353,440,
013,518,918,870,958,756,805,929,715,834,573,959,646,271,409,983,705,777,283,
177,725,589,132,293,277,340,481,433,381,811,650,916,757,362,502,894,100,445,
219,237,456,309,630,917,604,268,261,067,080,761,725,829,253,830,421,827,802,
075,934,849,743,288,214,413,925,987,379,389,090,582,409,470,257,994,699,269,
409,743,062,503,665,565,290,658,887,158,004,452,248,060,415,923,001,156,273,
171,872,857,406,161,394,064,021,358,096,758,605,082,557,237,147,626,165,421,
798,793,363,981,299,232,033,758,876,719,821,007,717,337,914,962,095,614,190,
382,379,287,960,449,262,365,293,042,557,187,631,788,827,671,813,145,952,566,
994,583,761,175,138,687,783,234,569,113,176,248,555,978,969,610,931,913,142,
593,584,824,730,140,270,045,014,089,792,582,814,330,340,774,248,915,246,390,
948,419,915,427,934,989,329,048,897,444,470,732,211,161,095,772,555,892,123,
014,293,489,793,977,019,379,522,704,997,331,396,310,497,720,978,565,391,959,
976,992,130,112,675,054,982,443,094,888,125,100,909,850,775,305,489,111,199,
066,362,815,652,718,710,333,021,192,657,994,631,524,395,592,827,345,191,107,
620,810,513,409,157,203,899,150,844,404,828,229,831,155,138,697,159,655,694,
502,078,472,147,511,558,333,297,877,220,190,971,192,726,346,190,654,981,475,
108,373,588,940,039,582,021,746,660,452,776,890,008,410,930,640,150,297,719,
832,761,846,389,282,285,417,540,068,877,418,507,748,170,065,961,083,431,874,
232,248,698,343,968,917,099,365,997,902,964,173,984,356,400,576,345,374,161,
133,431,682,749,840,379,133,495,171,803,998,145,977,190,623,275,391,616,589,
052,656,510,921,922,309,659,822,297,094,714,252,188,074,143,217,386,597,035,
687,041,788,647,060,296,048,943,197,243,529,506,244,309,665,544,316,935,873,
920,753,780,737,804,883,029,230,733,594,475,053,317,673,857,250,669,311,735,
267,269,239,017,276,254,335,809,273,433,184,567,300,635,947,511,257,204,370,
447,879,081,041,503,290,235,095,932,536,763,770,037,030,994,184,436,494,509,
229,972,500,624,573,396,205,596,129,181,928,301,565,200,341,898,944,933,143,
485,584,610,680,183,411,288,473,302,118,918,783,021,376,133,682,912,898,758,
110,226,989,167,971,226,696,501,997,588,016,329,106,403,996,374,365,799,187,
721,429,309,870,665,659,041,512,091,411,845,015,123,878,695,478,746,948,610,
924,654,373,763,879,209,281,257,061,618,043,547,019,242,787,060,978,585,138,
672,434,471,451,230,861,219,290,078,932,445,227,197,190,891,607,600,683,839,
096,536,431,478,061,976,712,854,452,658,357,755,444,837,029,794,569,326,988,
518,314,516,313,441,948,324,528,130,078,608,150,604,151,324,191,112,864,298,
284,689,285,491,803,183,930,690,019,595,035,442,090,775,163,899,656,505,619,
344,598,079,710,899,774,123,312,783,947,694,391,026,933,988,460,420,200,844,
459,721,150,014,008,244,183,352,480,262,151,213,876,265,231,491,661,944,889,
497,983,224,763,711,154,400,678,012,434,892,134,807,351,372,197,302,579,992,
274,156,148,996,355,723,536,742,037,289,587,437,554,063,211,719,592,489,547,
967,835,542,123,650,152,024,275,443,332,393,601,428,049,583,837,567,133,439,
522,315,517,606,635,811,563,007,685,296,659,537,149,854,124,097,504,004,193,
364,732,934,441,817,899,551,707,425,675,822,664,595,746,650,036,221,461,835,
229,029,027,649,966,881,209,967,404,182,876,704,866,830,905,289,579,563,586,
079,346,238,038,818,850,310,243,070,329,465,329,494,340,935,817,268,223,813,
253,680,653,556,492,419,695,909,774,299,507,020,909,074,321,958,175,753,678,
495,697,949,261,885,863,524,815,616,080,876,886,652,954,003,019,327,198,721,
044,776,589,550,143,255,060,728,962,117,673,334,831,080,626,333,512,731,333,
581,102,045,261,420,299,565,165,940,151,984,209,090,318,198,670,845,230,102,
139,872,920,750,378,200,054,589,427,708,216,140,084,185,236,758,944,080,897,
714,239,968,601,108,764,196,495,531,443,179,456,534,370,659,348,274,816,122,
366,698,390,629,212,345,955,878,046,670,674,838,699,677,464,385,845,350,424,
312,424,127,841,812,060,491,326,175,423,052,707,524,936,373,981,249,363,082,
602,322,071,927,731,713,966,304,101,762,522,608,967,752,671,904,459,163,597,
170,904,166,912,319,613,778,096,639,888,684,434,542,892,801,603,416,458,186,
225,147,194,115,104,643,405,890,570,400,192,899,153,675,079,657,780,234,975,
503,248,220,072,870,434,922,030,685,271,239,344,945,864,024,701,316,143,887,
612,771,094,991,237,354,931,317,279,030,940,508,007,434,770,470,522,731,023,
447,005,138,845,755,888,255,184,106,625,724,880,861,359,028,802,190,908,854,
092,632,394,383,101,841,648,492,975,477,898,395,448,044,246,683,687,160,448,
679,465,794,727,953,547,041,360,332,486,693,233,155,956,430,452,997,657,215,
728,599,553,449,463,579,238,594,781,736,605,628,413,222,601,250,828,307,085,
373,597,874,367,798,922,748,426,209,393,402,287,105,302,957,685,759,477,431,
009,042,372,653,726,018,024,913,604,714,334,311,126,049,273,373,844,063,206,
787,920,038,650,551,830,770,618,346,647,539,475,663,328,139,437,171,778,090,
067,947,265,219,436,229,286,102,220,596,190,916,986,297,563,582,380,070,830,
021,808,648,131,666,239,667,232,579,540,558,735,932,340,548,781,346,241,904,
104,482,999,003,035,695,637,998,947,416,919,345,302,568,705,888,896,119,281,
383,985,950,298,544,829,037,148,945,461,363,688,200,893,984,710,812,381,848,
877,003,085,018,100,186,046,567,881,866,679,604,589,510,366,233,741,044,672,
004,774,858,915,390,808,050,253,970,053,079,505,648,397,636,887,611,689,730,
711,993,418,902,750,507,449,926,412,414,941,361,506,423,869,109,558,390,026,
381,262,314,086,479,726,383,558,356,968,831,825,344,312,254,603,407,156,473,
983,534,205,977,726,476,713,780,357,118,623,062,440,713,103,083,782,956,989,
419,601,529,859,417,348,136,559,017,965,537,464,113,432,998,622,490,921,692,
660,149,462,440,503,085,587,495,464,300,137,441,315,201,846,169,352,342,604,
501,816,895,663,360,158,927,808,786,379,281,858,300,616,267,674,221,900,680,
375,621,920,303,239,632,437,142,852,333,546,095,876,105,335,752,444,696,159,
678,686,825,200,286,137,149,572,260,920,022,444,565,217,769,961,745,192,339,
908,685,918,202,393,998,386,482,782,216,141,607,949,348,653,429,778,068,745,
264,123,902,165,378,470,648,026,989,234,263,481,641,070,374,322,994,374,893,
086,690,025,564,501,930,682,378,840,813,395,693,465,106,107,129,135,696,789,
407,560,789,033,676,406,249,455,023,347,600,798,442,316,793,676,403,169,378,
311,538,620,114,064,613,699,563,060,162,025,482,858,603,240,302,411,461,839,
475,725,674,765,984,196,355,336,440,196,858,898,995,423,836,465,785,325,468,
394,388,875,011,077,852,452,735,813,603,426,049,369,386,001,971,412,182,883,
083,359,054,936,172,657,932,872,019,350,942,041,276,127,809,957,411,114,862,
319,468,482,191,716,154,808,277,880,534,134,347,687,089,266,393,483,754,144,
615,230,827,220,094,297,258,758,515,629,499,200,159,016,378,407,518,752,171,
776,558,834,400,698,956,032,399,800,736,043,254,448,289,989,612,920,937,628,
886,362,694,014,127,065,741,235,932,543,138,206,232,470,136,760,551,737,271,
660,107,573,137,171,765,925,387,970,314,037,665,332,382,938,211,412,296,398,
142,402,690,903,883,583,711,022,955,058,799,657,288,541,733,409,344,178,596,
027,137,642,849,070,446,100,558,200,866,131,263,661,776,137,417,048,732,912,
008,407,752,752,475,854,970,546,259,850,875,175,142,089,513,272,157,079,410,
409,939,699,893,499,795,215,739,309,115,852,662,627,497,474,116,884,784,701,
185,857,610,970,042,097,192,231,151,319,411,178,394,573,943,638,954,680,835,
580,651,567,076,754,753,227,708,062,497,123,238,252,319,785,399,777,819,344,
409,109,218,326,759,764,164,881,800,647,161,605,645,249,885,747,582,063,602,
824,697,560,885,951,170,846,142,038,001,930,695,366,406,617,248,797,147,580,
961,661,507,120,675,901,549,355,234,696,274,442,115,390,922,210,439,766,325,
842,252,867,874,362,175,713,964,669,724,316,347,942,674,103,050,675,244,410,
822,203,373,989,073,022,140,203,698,933,874,862,596,937,310,205,002,504,130,
655,264,784,863,656,861,366,805,824,674,113,523,576,031,325,297,917,296,780,
785,618,069,529,759,481,873,622,792,060,089,154,383,875,350,887,904,859,485,
874,055,415,344,980,458,729,278,486,483,628,328,934,368,966,464,275,685,883,
242,237,861,328,444,864,907,923,910,870,710,235,417,498,701,583,656,921,914,
131,975,328,101,114,438,103,206,166,721,374,282,759,366,358,753,653,373,964,
412,458,838,083,253,086,267,893,446,980,135,342,435,860,872,577,000,394,119,
554,354,728,406,218,979,681,359,467,590,218,369,104,248,185,035,649,269,894,
173,996,789,655,214,149,018,992,837,330,404,913,941,332,912,409,076,427,284,
350,914,361,225,378,462,056,840,621,095,725,795,027,234,633,515,573,107,699,
409,049,627,164,831,177,911,650,340,351,156,382,911,211,656,754,853,085,234,
958,616,682,409,779,433,122,138,196,003,274,733,848,245,242,722,262,683,442,
980,874,188,712,751,723,911,698,119,687,609,008,609,317,162,061,975,301,210,
034,483,766,658,222,060,982,037,660,773,855,400,731,460,213,821,697,369,481,
820,093,158,516,493,350,302,256,235,238,024,062,849,937,629,377,873,962,537,
183,716,488,012,729,609,655,201,233,030,883,442,951,085,292,814,784,474,534,
856,013,252,856,039,277,034,478,432,378,495,207,171,124,859,738,711,930,554,
414,371,154,078,584,679,238,170,710,335,285,716,063,502,583,721,376,868,508,
492,560,957,195,234,296,082,865,062,300,737,957,097,070,927,072,594,978,953,
819,141,423,077,865,679,840,694,660,416,033,575,654,524,032,806,071,308,775,
474,415,091,764,385,760,795,333,175,463,088,323,378,202,909,609,546,578,903,
192,463,187,812,134,088,168,634,405,125,294,693,564,253,104,498,436,242,633,
709,773,594,954,424,727,432,989,838,960,334,920,121,266,480,297,589,390,177,
650,022,910,356,266,097,203,844,884,641,845,276,098,090,842,063,418,207,456,
025,489,370,961,943,252,574,572,110,605,970,136,522,447,484,883,979,855,730,
611,671,618,948,425,115,801,573,008,041,991,936,123,949,409,821,876,432,643,
924,008,152,351,975,375,296,455,543,733,458,157,429,405,581,623,155,810,438,
225,530,828,812,290,294,178,291,924,952,883,077,561,602,988,180,320,002,406,
548,893,091,254,906,753,850,234,824,804,037,038,173,648,939,996,650,833,670,
247,095,924,792,381,553,318,540,431,663,285,632,959,823,248,857,508,670,733,
920,675,128,342,729,784,197,184,178,016,539,937,277,292,115,377,619,904,406,
205,829,372,102,559,389,414,594,832,770,169,969,699,916,091,447,880,425,870,
955,714,430,161,777,066,754,440,984,662,118,125,886,723,809,474,900,571,890,
707,669,853,767,299,629,150,195,269,504,122,483,620,609,377,140,811,055,022,
655,041,497,571,720,357,237,651,832,722,383,479,645,821,207,231,866,463,153,
250,929,856,369,658,605,528,135,168,784,158,720,475,971,793,687,535,787,810,
366,085,249,021,700,403,820,590,825,179,971,160,931,579,564,468,454,904,542,
422,848,024,039,419,892,315,088,496,008,424,172,222,521,573,747,983,712,262,
437,278,260,563,049,668,051,552,453,268,544,975,660,696,530,561,382,728,068,
990,362,092,015,333,748,051,950,221,877,952,179,996,965,127,222,112,303,936,
536,193,399,232,141,520,521,444,636,323,136,608,139,940,747,082,816,161,372,
127,853,860,342,598,956,318,488,015,526,797,765,708,360,795,336,576,328,042,
782,621,280,009,240,864,857,817,618,921,597,975,151,896,517,095,956,941,059,
167,466,213,798,179,742,700,048,588,699,580,630,867,127,907,692,614,891,607,
881,724,458,408,707,045,195,201,024,917,914,700,226,392,893,218,244,447,400,
213,367,316,308,979,077,762,517,045,988,557,385,242,565,648,186,812,163,211,
415,606,155,279,614,949,587,383,214,869,795,424,392,599,682,339,744,646,522,
358,883,318,775,792,327,208,730,314,712,269,753,823,147,251,297,557,259,783,
373,901,218,492,147,807,646,354,894,993,147,398,549,727,719,387,116,768,831,
752,496,483,886,261,198,742,720,668,317,662,019,507,410,232,139,878,344,996,
457,013,221,716,799,594,951,308,655,492,294,293,741,921,151,169,611,687,163,
319,327,860,260,933,764,079,330,014,977,047,049,860,992,254,317,366,737,441,
886,927,845,668,762,520,133,557,349,442,700,794,791,169,559,859,712,555,129,
001,582,114,199,728,860,022,446,742,484,296,914,907,762,195,587,101,773,202,
890,948,445,470,930,891,209,827,556,183,226,362,251,328,611,676,560,970,879,
038,731,084,523,141,597,247,576,505,393,435,392,179,662,393,024,614,793,052,
846,668,259,410,953,591,610,310,437,783,766,702,415,795,378,712,609,467,797,
168,614,015,932,556,911,600,974,002,106,738,305,273,386,399,038,547,692,092,
537,684,408,132,588,674,987,151,731,495,948,056,273,896,301,409,125,163,648,
751,104,836,753,813,533,332,887,328,753,568,783,494,523,511,916,330,536,170,
451,919,633,952,779,348,841,843,049,901,983,153,450,501,136,522,588,128,826,
267,188,941,565,244,599,072,303,514,719,302,433,504,841,419,637,335,669,261,
273,208,321,960,846,514,338,422,357,695,676,806,303,597,573,543,799,764,461,
802,501,396,567,581,404,967,976,685,921,714,065,745,450,123,094,064,123,267,
789,392,520,725,802,513,969,370,338,227,719,231,813,109,059,952,579,515,564,
424,579,097,621,342,399,164,608,463,021,853,131,611,036,836,851,275,039,084,
138,412,356,726,838,694,437,168,150,800,806,721,892,425,448,453,754,502,943,
149,304,340,167,159,317,350,817,078,677,734,856,658,739,578,076,605,374,638,
536,717,147,237,187,903,318,341,625,050,716,569,711,671,794,527,178,505,220,
444,576,215,511,111,218,495,851,423,834,453,217,530,140,312,544,238,110,848,
841,904,684,876,582,568,524,175,718,887,686,804,044,115,654,220,342,869,934,
457,606,463,496,173,061,277,808,533,009,723,292,477,579,259,671,560,319,361,
101,037,649,786,073,057,651,315,473,764,126,133,989,905,686,489,185,570,711,
596,778,479,710,619,425,494,451,613,506,968,288,099,354,323,295,738,794,272,
433,296,513,598,992,701,220,032,250,358,273,408,694,181,384,342,512,257,745,
564,056,609,021,062,543,924,223,710,767,888,694,916,141,344,689,342,836,996,
220,690,845,788,782,141,506,086,617,719,976,002,686,553,407,633,740,338,338,
305,653,103,727,048,407,639,041,407,977,289,060,074,096,606,648,819,937,798,
098,303,911,316,677,583,943,588,166,686,544,858,561,515,807,069,926,500,125,
880,612,924,351,387,839,751,778,151,930,049,693,379,281,653,979,143,849,520,
438,823,687,577,974,632,700,273,400,390,098,091,663,048,212,201,522,316,300,
598,104,410,289,464,999,790,122,815,522,521,138,224,414,006,736,526,042,472,
187,184,935,050,594,404,848,120,895,277,483,413,313,522,775,905,610,950,903,
452,344,160,286,070,858,881,325,260,789,319,334,757,049,552,197,114,042,158,
838,756,411,570,894,327,482,334,124,757,901,623,439,746,733,698,976,742,055,
592,181,907,364,162,843,964,980,566,146,360,775,170,816,680,158,732,324,093,
647,076,508,087,855,516,158,143,489,207,801,428,824,230,047,684,310,001,806,
808,316,449,386,640,768,806,970,635,741,949,118,334,753,916,122,758,522,224,
727,785,751,398,768,949,988,629,121,942,410,228,688,876,065,288,308,915,083,
086,082,371,696,728,619,053,474,807,210,540,987,474,336,261,250,391,395,218,
644,749,150,532,990,691,169,390,911,224,591,930,611,909,324,539,953,335,671,
127,390,153,200,116,710,660,899,798,240,810,610,834,377,764,729,448,011,616,
222,833,362,325,890,778,956,505,764,308,850,847,228,655,261,451,199,753,194,
073,386,913,325,073,922,772,699,286,656,704,640,478,762,620,353,881,789,187,
648,969,902,697,839,932,570,654,474,387,933,104,472,693,557,159,956,392,667,
305,360,978,940,610,256,946,989,688,232,349,260,928,088,183,686,826,559,086,
214,155,718,017,397,767,443,318,510,250,554,831,690,383,142,042,006,235,157,
880,794,648,604,615,310,174,705,644,007,523,583,743,975,998,381,900,979,160,
460,889,357,765,678,992,689,198,087,494,348,790,488,756,789,972,842,690,954,
225,187,322,301,662,805,672,959,435,529,903,560,237,721,010,039,775,357,813,
426,210,753,123,361,097,839,058,843,388,894,234,845,494,914,109,312,538,316,
020,741,069,419,873,877,589,311,989,831,174,146,903,436,566,440,188,841,479,
605,523,273,489,753,778,489,790,232,070,657,581,050,098,759,205,063,008,364,
939,919,027,707,408,942,488,567,623,644,007,736,769,680,957,367,109,466,339,
416,606,777,669,690,713,848,705,995,730,439,605,802,383,610,409,946,062,734,
693,980,476,995,099,864,274,953,700,031,514,292,520,274,648,971,405,697,884,
707,456,529,160,766,872,684,216,336,710,558,141,859,755,023,192,131,732,488,
513,148,079,655,425,330,293,059,769,229,007,722,602,406,401,158,032,621,460,
782,263,909,845,882,750,071,561,455,700,921,704,564,347,205,255,328,622,312,
338,912,774,795,872,172,668,989,983,077,162,675,059,055,036,305,846,208,752,
689,592,228,177,202,309,505,609,852,413,122,657,454,078,180,376,643,251,506,
645,461,983,695,746,285,934,306,301,231,945,012,317,613,934,368,175,837,028,
598,433,968,806,278,662,654,745,844,596,767,388,251,032,649,278,956,616,193,
201,085,795,789,299,808,089,903,600,829,485,154,419,720,348,075,009,382,382,
524,992,610,589,310,027,538,923,503,645,126,744,652,418,869,465,307,034,770,
625,854,609,432,434,319,196,048,929,211,624,331,139,060,691,843,849,977,522,
276,367,041,116,206,271,149,005,257,594,278,170,884,686,323,309,153,596,144,
844,357,332,772,915,517,171,430,993,115,158,613,222,196,781,595,219,129,770,
411,869,994,504,361,971,593,871,803,354,436,460,603,266,433,039,046,260,735,
687,352,332,486,557,085,840,598,121,637,758,496,940,323,750,761,812,508,398,
171,626,777,741,670,557,460,141,119,173,091,627,706,018,066,581,048,928,478,
103,682,548,855,106,606,438,827,924,067,457,323,364,293,936,149,747,160,293,
440,849,758,498,017,534,535,636,577,855,163,351,543,878,185,420,997,235,404,
337,364,159,738,754,000,593,476,819,820,904,010,403,189,561,707,567,903,215,
134,524,422,415,858,049,610,660,195,526,935,283,733,392,022,307,007,963,877,
163,721,251,474,240,264,721,511,498,921,926,441,564,566,114,305,273,473,140,
823,580,919,868,296,216,378,291,161,013,742,612,664,353,241,950,816,133,034,
931,161,785,512,731,373,762,637,597,885,966,861,625,350,106,023,211,903,888,
389,557,240,625,949,042,948,963,671,338,532,005,000,870,713,025,418,870,407,
420,377,022,793,727,893,993,227,610,718,509,804,620,519,221,043,673,814,787,
850,098,651,406,131,958,669,212,093,475,485,458,645,538,145,159,014,924,170,
511,936,812,414,169,130,281,137,172,073,753,672,323,825,737,375,817,831,215,
109,723,346,933,978,765,884,695,126,986,363,292,630,664,291,900,910,802,973,
265,892,440,251,882,200,489,560,957,518,651,769,527,425,074,887,238,794,831,
244,564,437,400,042,118,690,119,719,371,052,137,051,204,773,357,018,113,249,
256,896,003,452,043,129,669,628,711,146,349,408,567,685,401,379,467,127,144,
083,175,136,057,248,200,529,565,421,158,878,343,971,536,112,038,890,692,150,
285,402,872,147,668,677,842,412,608,752,305,611,851,347,896,505,267,210,001,
697,930,068,883,657,716,750,148,412,094,468,767,101,166,517,087,818,864,187,
869,166,553,604,201,034,554,858,278,991,754,628,044,660,522,425,287,784,722,
609,794,819,810,286,277,045,373,356,213,701,063,415,366,699,245,860,394,353,
884,696,670,424,594,583,383,603,955,015,794,204,451,510,857,505,370,730,423,
175,405,397,634,492,895,663,465,178,519,555,126,257,132,720,955,627,735,248,
829,927,777,154,974,230,158,498,136,936,050,563,291,934,243,371,157,384,481,
336,096,152,683,842,746,697,256,700,930,167,224,948,460,864,041,315,872,449,
376,858,099,341,980,121,670,651,964,080,300,547,072,402,792,035,075,056,690,
405,896,100,327,081,611,238,578,675,930,158,675,032,449,805,530,664,336,328,
046,646,873,578,556,020,739,309,654,903,202,337,292,245,530,504,096,338,261,
091,372,656,527,700,018,523,152,677,402,302,998,732,932,492,657,048,897,597,
716,692,675,684,249,420,715,622,614,956,889,357,461,452,707,112,674,418,099,
568,713,010,971,188,872,536,849,264,598,312,047,356,362,643,751,146,137,643,
041,017,454,734,129,733,493,366,201,941,637,299,370,599,084,143,506,465,482,
069,542,143,416,351,966,165,051,699,151,313,594,438,496,708,796,152,021,388,
167,900,024,262,353,810,531,242,840,673,848,625,725,758,913,086,995,656,768,
588,363,780,931,950,067,223,889,179,763,354,747,997,060,121,262,992,466,266,
380,991,263,300,609,415,324,180,066,939,699,695,367,769,288,444,833,743,684,
585,205,634,537,610,266,054,157,112,733,378,221,829,062,214,190,640,305,525,
001,354,079,020,331,571,049,848,045,099,021,361,764,744,345,821,070,303,552,
362,109,135,189,011,755,340,148,895,541,775,659,578,858,731,700,926,657,089,
467,724,028,967,727,540,437,841,450,371,026,675,597,993,059,831,602,891,487,
334,255,929,677,883,967,134,838,362,199,959,050,618,028,100,801,818,996,006,
008,522,416,221,290,637,907,199,736,016,389,347,905,301,246,866,669,121,244,
137,134,130,938,265,303,679,219,223,644,096,449,763,472,387,462,006,259,038,
285,063,325,261,763,961,754,375,380,280,080,404,395,331,579,854,288,294,634,
999,426,087,926,038,495,759,755,332,366,795,706,497,943,239,701,993,913,205,
667,817,051,928,737,621,127,205,005,587,201,470,597,843,079,428,559,712,852,
175,215,886,775,485,620,016,921,415,026,996,294,414,446,407,086,688,121,692,
032,328,282,315,739,528,858,255,286,644,157,999,885,143,760,493,618,872,256,
363,111,371,384,333,170,739,514,908,402,019,407,603,754,241,578,038,033,309,
227,108,668,220,654,485,166,952,142,256,843,438,390,569,493,667,360,020,189,
222,904,599,996,067,936,235,256,201,391,802,999,605,440,973,060,094,467,716,
004,653,173,424,872,916,369,360,854,054,223,161,900,767,986,704,586,772,563,
573,646,345,400,430,937,358,025,354,124,441,755,323,352,931,835,346,337,566,
758,580,150,603,179,769,338,813,834,354,666,095,382,144,029,647,661,779,796,
547,532,628,405,825,330,591,975,588,344,253,703,846,732,957,608,844,783,377,
232,723,359,672,300,765,286,373,866,739,619,495,869,382,191,825,755,111,713,
858,825,048,652,407,246,678,809,705,018,523,294,695,692,970,162,933,509,294,
858,892,623,059,364,687,925,781,734,457,483,428,024,244,565,079,738,598,855,
915,141,690,639,799,642,291,075,638,825,041,128,888,344,433,276,335,592,199,
803,916,235,833,860,161,857,332,558,834,297,727,960,027,314,861,068,622,370,
371,313,720,083,028,806,347,904,516,694,354,147,020,680,020,153,390,213,900,
298,753,589,522,836,046,358,902,454,095,387,239,990,021,521,714,480,873,905,
893,466,221,107,997,305,967,924,946,869,740,219,062,861,041,886,961,896,921,
159,330,255,227,408,407,901,913,540,399,732,413,127,220,545,501,132,014,647,
193,599,675,852,612,296,780,919,492,017,958,354,959,773,343,488,748,539,643,
698,404,358,885,656,561,544,677,950,748,294,122,901,709,886,509,154,603,883,
344,273,534,450,509,197,214,612,497,242,386,640,768,157,567,635,716,600,338,
598,349,714,018,805,865,765,484,461,396,515,310,176,212,598,803,026,478,352,
960,447,372,816,878,178,866,753,826,445,279,054,349,729,772,272,810,148,038,
835,177,904,189,666,892,564,909,123,002,059,538,657,531,499,928,767,304,011,
287,629,816,400,023,527,374,346,869,357,133,636,158,204,392,345,611,720,284,
026,064,880,576,900,052,365,385,776,795,960,258,777,060,604,935,624,759,993,
023,739,803,933,488,910,158,072,520,989,859,655,253,412,190,529,583,820,318,
936,718,417,816,884,646,052,369,971,543,177,947,499,402,992,589,824,536,871,
887,777,963,366,255,679,507,534,743,990,986,649,775,866,591,491,523,845,067,
306,307,857,303,775,429,294,810,544,173,105,928,587,648,881,094,417,503,716,
533,115,018,783,658,512,162,060,496,309,196,938,412,903,782,063,879,101,661,
461,389,584,653,028,139,009,874,860,181,736,676,362,346,413,999,013,871,111,
932,138,708,134,937,839,128,044,953,277,416,534,677,422,416,734,248,871,856,
074,894,980,721,166,644,717,098,891,083,981,217,644,577,712,222,410,121,414,
172,704,984,930,820,158,408,146,973,827,070,419,794,342,479,746,060,008,609,
538,250,957,499,228,731,261,692,687,543,124,152,260,002,254,251,992,075,703,
627,378,969,171,905,540,691,669,130,027,623,819,969,340,707,729,641,600,849,
274,915,059,182,338,472,420,422,025,524,238,514,526,221,870,799,242,477,250,
477,208,094,798,288,679,202,915,257,774,758,980,386,390,783,041,244,501,037,
642,768,110,053,018,972,799,015,962,261,276,673,004,664,410,347,382,836,707,
084,882,733,665,853,647,005,183,296,239,450,426,733,784,526,112,976,242,887,
593,647,182,772,915,555,741,999,354,163,959,835,924,103,537,304,542,764,847,
697,962,032,623,837,573,418,217,281,702,031,701,800,538,614,096,784,971,894,
889,289,004,718,640,395,382,198,161,493,405,977,421,355,841,391,140,388,870,
883,731,653,079,231,653,211,826,375,401,472,622,754,229,497,818,708,986,024,
220,077,238,548,815,815,623,232,718,952,065,453,686,933,773,528,817,310,176,
579,434,095,926,998,081,210,420,468,506,242,182,064,839,865,621,257,057,025,
757,159,040,377,401,896,463,257,856,129,543,862,342,914,122,060,322,287,751,
272,051,482,104,699,073,695,078,428,738,164,880,855,605,869,524,643,074,967,
866,263,261,058,874,165,681,037,411,367,312,201,451,754,245,379,939,837,843,
537,230,783,844,643,278,476,892,590,690,617,654,904,731,167,351,715,319,886,
958,413,222,864,436,650,807,048,192,978,206,801,050,049,714,667,567,077,088,
731,685,806,217,503,117,481,506,399,038,034,773,321,703,572,286,474,498,254,
481,576,030,937,424,075,653,087,719,825,533,235,293,579,922,798,459,464,202,
119,935,874,656,861,532,473,873,738,203,206,228,725,827,155,853,983,287,494,
932,185,715,554,046,144,225,879,011,278,014,865,763,788,090,972,242,773,010,
884,452,864,745,188,156,632,172,888,999,052,976,298,814,336,425,621,672,579,
132,489,395,897,687,059,917,148,136,218,907,905,592,099,226,646,478,879,720,
920,642,794,770,791,889,318,693,177,506,497,718,376,064,510,732,860,105,584,
556,773,081,033,151,799,163,960,263,508,673,855,126,867,104,645,451,981,693,
028,680,218,466,479,765,579,480,684,480,552,562,321,716,587,637,539,915,032,
467,144,955,282,450,523,505,370,355,952,999,581,677,458,874,106,464,454,647,
772,191,505,047,014,671,818,947,769,865,734,340,143,957,977,156,805,833,697,
790,405,936,139,672,128,681,457,998,094,609,412,095,065,319,761,804,627,437,
867,744,821,882,014,198,626,043,399,119,339,111,180,080,293,034,883,255,784,
037,734,266,645,037,883,244,459,847,902,757,115,989,878,202,385,400,539,283,
684,399,396,216,178,272,344,671,307,723,647,400,176,928,861,836,703,498,482,
581,006,954,327,575,874,958,954,670,977,707,841,305,879,478,782,506,714,660,
185,868,669,830,626,479,883,503,760,542,503,397,532,330,487,962,665,707,410,
289,817,223,310,914,680,933,335,439,934,878,795,214,375,034,910,362,161,918,
562,662,616,421,386,885,921,225,912,163,577,853,679,780,914,240,947,851,377,
521,869,180,455,476,196,542,071,769,592,377,949,639,376,941,714,220,109,908,
405,776,588,902,991,022,536,663,045,721,280,164,517,549,138,926,908,909,517,
698,343,343,625,266,507,622,996,428,613,289,557,155,229,692,757,821,298,590,
966,901,188,270,267,985,595,381,194,505,287,893,744,790,943,451,511,368,089,
355,416,361,387,842,974,959,441,242,127,732,513,153,820,404,463,160,149,057,
182,481,005,720,068,244,730,372,452,894,971,254,177,939,036,160,685,937,621,
222,768,665,396,667,495,500,047,083,893,583,300,319,664,935,630,104,810,406,
962,446,046,500,492,652,715,465,789,178,155,192,085,066,917,568,172,582,301,
154,693,219,590,396,336,111,240,538,036,848,369,734,378,400,546,516,794,693,
245,410,277,924,924,057,493,885,056,761,186,086,177,550,032,447,796,242,697,
621,111,811,775,079,200,564,157,390,004,995,488,650,203,290,856,089,706,529,
178,613,154,761,377,522,487,289,917,773,376,883,464,570,502,136,681,477,208,
794,530,206,857,613,633,237,603,116,621,188,356,496,714,999,007,485,006,114,
233,751,564,231,723,314,716,355,357,305,369,433,023,229,826,444,768,503,052,
807,247,559,343,929,923,398,099,380,697,400,113,686,075,611,961,619,045,505,
768,841,878,996,828,986,516,297,555,332,412,929,024,336,219,256,249,553,798,
377,599,726,055,605,623,361,772,645,720,541,886,954,654,459,391,599,916,413,
907,122,419,637,195,794,394,586,558,818,900,648,862,447,944,027,496,281,139,
239,100,931,697,768,789,699,923,823,098,290,353,727,285,048,264,716,412,849,
287,423,015,829,391,911,456,569,942,663,145,399,416,458,896,999,114,540,243,
755,084,344,289,715,766,655,409,877,909,855,277,495,952,722,912,811,648,492,
811,171,593,963,703,588,934,428,457,029,045,416,989,019,181,828,513,976,112,
097,477,138,218,214,697,333,533,480,380,761,300,550,590,086,864,599,529,470,
449,063,435,802,448,562,950,737,177,459,727,806,674,850,665,374,804,131,537,
338,211,759,000,392,757,025,150,880,486,330,349,412,374,795,850,295,163,820,
963,573,749,079,877,990,203,138,894,271,891,201,589,425,284,151,020,191,482,
787,053,262,640,569,141,676,583,981,133,802,677,966,288,101,734,674,533,505,
862,674,505,870,169,893,832,810,654,275,898,734,380,508,277,684,335,448,807,
276,326,317,148,067,093,453,572,309,880,829,921,543,911,963,554,416,365,342,
559,014,393,463,199,874,272,334,784,904,467,020,536,609,209,712,270,624,994,
064,358,042,796,271,802,782,682,561,822,639,758,149,746,886,731,898,020,195,
679,515,739,453,805,415,572,606,565,192,981,711,936,872,175,526,135,023,641,
572,593,428,799,634,327,058,500,199,443,205,757,566,049,082,017,982,168,189,
423,228,182,067,407,924,345,698,836,520,856,941,209,206,620,559,737,964,648,
963,366,000,626,638,203,839,238,944,146,534,088,952,999,123,661,104,143,947,
181,234,492,652,796,819,207,979,841,853,455,502,237,516,993,091,199,613,430,
849,055,584,875,424,930,020,677,352,924,731,292,260,265,161,009,142,792,349,
321,641,821,893,181,534,898,865,016,181,369,260,576,043,139,193,857,988,727,
436,747,790,741,405,386,878,520,874,807,851,087,004,852,774,281,251,851,390,
387,817,584,613,168,653,255,871,485,652,674,614,986,963,362,629,040,550,446,
471,649,770,500,706,056,502,455,511,040,665,170,991,359,941,865,020,816,996,
110,425,033,392,442,568,013,441,429,482,426,283,744,039,522,147,277,927,971,
112,983,890,702,667,128,402,440,469,139,954,004,244,047,679,629,460,060,793,
711,108,114,223,219,663,419,261,676,056,290,368,773,949,949,003,669,102,866,
168,164,165,624,081,479,661,103,106,174,372,644,842,931,868,491,997,026,591,
089,673,405,444,728,297,057,200,253,825,933,606,941,702,765,041,948,017,272,
095,588,300,112,653,833,031,072,316,330,603,082,154,157,756,327,115,685,314,
641,427,606,718,987,910,874,437,338,584,931,861,193,466,776,352,594,987,521,
565,746,947,083,222,129,305,260,435,815,249,155,980,451,916,688,970,968,890,
964,310,105,774,628,822,859,147,504,151,538,970,323,750,677,399,555,437,236,
440,883,702,352,534,514,238,475,331,633,204,467,300,560,699,770,502,577,121,
602,651,570,603,612,456,690,221,048,995,566,532,676,217,810,697,612,718,883,
746,595,190,393,795,256,587,796,003,605,878,540,627,807,587,926,307,845,178,
295,707,476,237,401,370,906,264,764,909,873,923,040,501,068,998,003,457,842,
708,611,723,827,715,367,641,326,004,189,131,647,339,635,629,558,709,245,370,
884,648,219,669,925,157,456,024,156,634,138,399,630,268,059,473,846,133,127,
447,502,507,959,644,859,852,740,304,532,110,732,620,627,939,028,784,908,215,
302,357,911,676,298,898,007,039,209,211,218,804,542,947,242,059,634,753,761,
642,388,842,107,921,882,288,233,791,479,839,859,551,327,941,231,707,376,260,
472,680,373,416,748,512,293,740,726,968,875,455,886,869,602,688,698,773,779,
147,258,960,737,910,991,877,512,175,774,311,575,949,531,681,110,506,919,025,
242,515,421,924,380,276,047,592,734,867,657,700,033,139,362,330,896,741,414,
555,518,611,082,632,918,273,268,800,671,445,981,247,817,617,080,905,401,395,
968,111,506,064,514,222,041,706,162,880,595,719,485,825,696,721,256,899,658,
767,446,091,632,615,042,908,787,459,263,754,934,923,838,770,365,406,401,282,
889,635,421,326,071,323,528,556,493,623,573,065,534,258,195,679,031,051,527,
122,198,516,126,221,690,974,698,346,804,581,295,507,325,426,848,445,143,088,
409,505,840,980,869,749,636,403,871,370,791,665,925,434,608,360,841,659,877,
239,069,899,841,256,145,849,973,675,462,906,970,864,641,826,441,147,032,503,
741,989,884,954,323,469,570,952,755,587,944,094,905,377,124,719,254,516,213,
429,758,506,119,986,699,297,524,303,211,225,916,857,552,018,792,770,869,161,
754,573,106,325,873,915,822,704,303,666,103,185,804,014,073,767,112,165,980,
181,456,151,769,194,408,485,698,373,241,465,598,645,562,026,760,514,297,687,
050,193,410,293,036,117,304,729,801,245,263,700,273,567,448,937,105,012,739,
716,943,377,679,011,112,765,459,517,127,634,579,917,927,159,137,390,993,395,
357,286,562,218,800,656,870,322,311,142,112,897,669,762,696,038,043,100,677,
321,148,584,731,177,560,824,357,884,381,263,687,254,945,426,534,281,187,227,
267,775,803,131,267,340,116,237,372,110,197,043,274,128,743,970,801,557,049,
054,598,612,614,794,634,173,800,399,540,568,442,083,577,716,155,499,437,084,
915,015,273,242,760,266,304,548,203,375,877,689,713,234,275,124,876,340,700,
156,743,707,795,737,531,452,674,586,508,645,091,590,960,881,165,691,284,051,
558,297,149,786,168,505,282,216,724,081,246,381,676,913,547,164,625,690,006,
658,665,877,480,203,890,835,932,605,772,708,923,703,586,926,550,411,372,611,
882,370,264,162,703,051,555,693,048,211,236,849,361,022,828,181,788,530,089,
363,027,872,562,896,347,455,453,583,065,312,968,611,790,319,688,390,918,206,
893,324,827,590,089,338,571,596,530,669,580,423,851,614,916,454,197,302,187,
516,554,561,946,797,460,184,175,459,408,949,377,706,545,949,485,838,103,502,
057,720,453,329,986,639,568,024,738,475,032,670,170,189,133,626,859,090,089,
885,262,035,761,655,416,557,811,125,489,288,164,769,909,783,695,226,392,341,
278,093,998,229,521,907,522,784,944,414,835,073,243,331,699,007,011,465,862,
475,906,910,945,164,620,044,880,939,305,897,559,099,901,902,720,934,100,735,
856,655,041,257,382,630,056,029,281,812,677,459,440,498,622,084,430,878,884,
613,066,814,192,587,188,178,198,298,812,496,897,863,471,199,307,535,233,459,
785,683,891,041,352,299,826,878,347,986,315,618,877,541,823,866,529,789,974,
175,210,471,447,739,094,423,453,059,479,835,299,153,053,819,572,532,354,247,
255,525,887,571,232,047,522,986,428,643,582,452,441,078,306,129,767,713,953,
504,980,083,600,551,091,748,698,699,921,499,651,523,353,875,143,948,272,306,
315,385,961,373,547,129,471,257,229,021,040,405,278,633,499,247,236,430,475,
723,138,391,012,952,009,866,211,859,670,115,237,142,861,808,834,178,671,545,
484,697,280,592,653,223,647,095,125,809,509,355,546,933,305,481,468,096,391,
168,028,149,615,804,517,430,337,897,451,611,690,572,051,059,456,771,342,184,
460,488,945,493,930,508,647,848,799,813,209,741,624,483,630,576,529,782,787,
122,524,736,934,021,044,911,387,525,447,467,091,751,079,085,639,325,449,814,
805,747,687,517,840,735,749,923,379,135,631,259,794,185,780,244,970,479,407,
967,280,275,427,183,748,589,285,058,394,294,587,848,548,818,529,231,387,903,
471,042,422,941,225,797,669,215,308,198,796,290,125,507,328,341,352,704,230,
005,076,661,208,613,266,976,466,203,811,269,836,458,582,331,151,379,436,193,
588,288,191,269,867,456,758,339,936,304,281,248,818,634,230,280,696,508,852,
360,591,159,884,502,780,869,534,733,752,600,238,887,971,809,654,967,927,703,
766,019,608,913,657,013,247,110,775,485,355,066,305,169,713,834,660,207,086,
668,739,308,586,925,456,922,314,811,296,772,694,772,272,295,194,686,510,186,
327,351,513,165,169,994,800,546,980,062,005,352,081,127,490,610,873,713,861,
681,692,786,963,283,219,828,210,995,123,013,454,578,782,918,712,875,495,352,
000,962,067,019,493,252,218,065,858,550,105,409,822,461,547,653,106,250,544,
593,011,542,781,151,121,619,533,051,705,541,303,914,607,141,186,792,597,630,
605,373,334,898,807,021,992,953,889,163,713,113,147,124,540,653,703,887,007,
233,078,072,697,145,606,554,922,349,818,513,705,212,481,737,492,782,248,760,
194,997,955,950,446,495,033,350,379,330,466,622,455,730,676,830,064,328,999,
328,856,803,727,685,513,427,665,846,235,162,726,859,106,423,301,895,290,672,
624,287,224,770,491,522,762,179,748,585,935,504,214,349,013,449,898,351,598,
224,707,092,381,106,001,517,255,150,620,586,131,621,252,463,559,065,540,783,
448,002,015,549,559,511,509,839,456,623,945,187,633,488,295,785,099,397,823,
923,926,723,928,201,363,415,981,135,449,775,689,617,632,017,535,104,064,161,
800,305,966,332,073,712,651,184,340,887,541,925,236,272,015,184,483,928,974,
549,855,277,390,131,401,683,976,985,138,158,257,503,529,417,729,737,373,194,
065,609,932,639,991,739,504,799,926,794,973,566,186,866,780,391,038,436,468,
311,800,616,132,888,885,745,226,121,859,080,194,736,961,120,773,774,745,161,
766,324,027,224,052,966,800,856,690,716,321,805,009,164,130,734,504,490,072,
101,414,376,531,966,754,721,019,309,022,661,648,809,675,522,075,381,115,697,
852,422,399,695,303,210,646,373,846,653,806,223,823,983,384,229,873,048,416,
620,791,096,421,857,547,596,619,199,210,440,212,745,841,592,956,776,969,639,
705,324,328,046,762,472,229,230,694,441,479,239,233,232,085,965,161,498,850,
258,867,625,321,880,821,557,745,514,404,955,795,486,146,229,942,706,975,417,
258,724,854,328,099,626,944,820,529,087,013,314,386,135,454,713,882,287,227,
317,367,428,648,756,060,439,297,523,087,640,502,629,972,138,081,699,423,311,
785,792,112,399,094,094,295,680,426,604,495,638,357,525,241,688,667,052,427,
612,009,843,762,374,681,122,149,434,838,239,208,429,877,169,518,725,251,175,
778,561,523,546,662,870,087,147,309,728,383,099,890,241,355,608,806,733,196,
173,617,715,106,058,577,479,756,132,536,360,410,746,903,837,651,234,606,100,
827,624,542,506,822,311,733,485,490,280,307,090,243,382,661,819,658,335,559,
316,871,945,987,675,578,535,582,494,668,886,011,598,764,272,121,355,597,815,
883,137,462,603,865,512,473,157,908,460,504,753,621,063,743,955,465,332,114,
807,937,666,982,016,266,535,688,919,221,225,065,167,947,406,908,529,529,781,
542,194,846,690,781,697,753,479,915,190,212,402,993,692,037,691,731,635,314,
812,702,683,247,731,792,681,486,642,758,996,014,171,358,584,880,043,185,663,
845,870,808,822,316,407,286,527,607,833,821,280,073,126,748,735,365,995,852,
459,088,940,682,423,152,669,052,342,298,884,855,779,651,338,225,921,802,732,
264,172,149,280,494,610,460,223,929,888,244,508,337,938,553,958,369,272,315,
800,664,682,651,084,613,256,644,853,277,752,327,758,762,925,031,839,116,793,
845,326,019,084,579,160,720,902,340,314,002,525,478,488,713,922,889,192,405,
283,272,035,782,490,039,471,466,364,774,336,114,912,568,777,625,385,403,026,
336,853,028,269,326,140,273,356,998,215,730,828,346,963,260,191,263,764,355,
205,109,113,882,403,713,137,365,541,709,593,355,846,677,785,309,850,416,908,
117,609,873,751,428,829,531,028,155,348,719,768,890,595,539,611,752,635,617,
868,055,967,426,333,092,538,392,765,369,602,679,098,865,239,889,051,979,826,
701,802,328,060,533,650,934,585,079,758,721,040,399,399,156,643,154,031,235,
332,034,380,692,121,672,499,341,108,858,743,226,135,252,758,487,755,694,157,
783,134,625,580,457,878,962,035,655,510,853,802,203,712,741,050,467,251,741,
751,502,567,100,344,365,060,644,527,809,371,160,804,588,258,743,881,092,923,
681,709,530,542,494,356,614,576,882,507,330,628,011,537,088,418,428,402,836,
313,739,826,908,658,670,582,025,877,400,247,301,736,433,586,709,141,854,554,
644,750,204,211,727,141,724,596,099,379,177,370,079,359,913,486,499,826,673,
465,328,204,172,867,275,360,440,963,494,257,788,054,935,362,633,878,311,260,
788,735,616,486,892,638,107,627,031,011,504,865,637,354,961,726,097,100,092,
534,262,476,657,150,975,620,798,238,314,292,152,772,202,832,480,956,888,161,
944,074,805,857,832,715,131,081,323,135,699,412,985,697,397,976,061,409,313,
430,604,830,925,907,115,688,406,003,801,795,599,339,084,068,390,915,172,991,
447,500,466,206,040,193,743,151,522,681,453,053,297,158,515,429,466,027,369,
042,541,792,794,222,674,620,840,123,320,554,119,916,704,299,788,910,484,868,
081,442,326,250,510,812,565,912,541,856,727,283,511,173,216,870,020,325,190,
923,229,363,499,252,383,131,766,378,237,720,610,856,162,268,911,574,405,994,
493,044,391,699,580,710,032,397,546,560,200,070,679,138,734,509,860,427,857,
908,456,955,270,365,227,346,298,358,166,753,231,334,585,518,129,692,417,685,
254,969,850,841,536,098,439,548,586,518,154,055,067,664,367,333,992,507,653,
965,665,240,943,711,587,905,109,287,956,293,453,905,701,409,186,395,027,224,
069,129,186,403,970,836,619,027,159,712,411,423,111,516,118,451,597,383,071,
026,184,016,740,064,749,553,895,418,908,945,319,217,339,220,353,266,112,233,
427,578,406,192,631,480,011,119,045,024,759,492,025,503,943,849,374,438,914,
238,416,145,387,220,684,079,841,051,830,579,932,809,123,760,961,415,287,450,
668,863,603,807,365,186,404,495,448,875,907,131,342,870,178,328,891,379,186,
606,203,325,134,177,840,028,045,684,682,382,816,580,785,591,373,308,339,665,
456,682,589,672,553,920,941,524,613,155,330,045,854,162,485,926,246,034,006,
769,181,638,286,108,571,187,308,018,140,925,899,328,341,560,995,817,976,358,
655,819,839,348,072,309,824,304,760,563,784,759,429,037,892,378,323,960,622,
702,043,170,778,776,805,761,880,191,189,434,319,023,973,900,069,463,588,126,
078,670,668,025,192,143,389,651,639,068,814,597,537,181,410,894,652,845,385,
261,606,069,744,595,883,259,616,035,460,131,657,673,308,675,066,943,165,621,
090,397,808,467,181,614,445,398,327,946,620,798,075,299,282,784,729,600,152,
692,326,056,235,847,530,888,208,294,670,292,879,898,229,895,262,886,496,107,
390,306,085,937,039,423,543,474,595,293,961,255,659,362,987,980,925,058,977,
831,298,484,020,505,200,686,961,131,145,867,960,917,027,978,264,589,036,803,
600,962,884,307,639,502,006,795,361,616,617,312,974,371,820,462,318,872,535,
681,118,354,593,525,556,607,064,395,345,332,922,670,547,459,807,001,301,098,
637,326,237,573,554,989,755,980,851,528,755,471,547,938,687,941,860,573,883,
746,464,716,036,806,633,538,316,688,595,158,547,155,095,870,771,278,280,519,
079,149,407,955,017,319,735,747,711,404,288,433,991,125,439,724,617,667,761,
084,577,175,236,491,881,706,908,441,655,091,898,040,323,029,419,159,794,781,
305,574,360,962,421,072,241,738,556,648,828,994,778,939,771,213,815,136,901,
611,823,815,744,179,352,223,018,934,666,141,415,570,286,551,936,371,402,940,
813,770,566,841,434,696,565,803,536,701,981,208,525,307,009,705,021,767,861,
882,935,646,765,316,418,118,530,831,533,223,978,686,716,164,328,060,965,159,
097,115,985,839,721,149,642,430,517,920,239,469,125,822,168,785,711,984,171,
704,785,325,370,009,983,498,173,410,990,874,121,026,017,648,088,265,954,617,
028,006,555,735,047,972,738,290,967,349,910,923,769,665,525,306,444,195,889,
832,211,264,563,445,370,945,266,260,680,501,710,846,364,693,647,169,166,265,
214,607,461,766,545,711,730,115,337,519,352,854,934,949,738,784,285,316,863,
352,868,681,908,562,525,800,192,125,832,419,557,283,532,961,437,783,853,843,
944,406,270,375,447,042,842,626,271,957,521,529,348,038,284,915,383,711,395,
880,829,461,118,256,034,289,775,023,427,447,336,339,143,900,731,902,581,750,
038,536,311,796,312,677,040,890,232,104,143,531,377,502,021,381,308,541,525,
245,740,781,001,932,725,584,841,164,112,898,136,093,537,210,060,360,295,364,
216,478,331,175,088,227,476,811,217,507,453,746,863,787,453,645,773,316,839,
465,835,777,599,016,939,856,834,507,623,003,227,588,913,599,306,861,669,584,
385,036,298,725,543,031,954,033,956,009,203,530,338,106,247,377,827,503,882,
775,758,467,078,743,799,176,217,899,738,355,626,809,901,520,478,543,204,093,
920,051,341,335,915,854,808,162,655,203,282,148,816,060,443,729,030,292,221,
497,524,463,026,412,890,698,471,153,311,548,229,166,209,374,717,090,400,288,
797,842,230,326,852,991,891,278,031,821,160,894,225,826,414,527,043,308,308,
321,892,987,771,224,948,920,304,115,322,414,720,831,521,006,760,760,448,585,
572,734,846,929,519,105,383,862,553,859,416,225,179,138,159,214,451,557,786,
803,411,477,029,376,290,564,160,427,962,814,201,953,300,658,147,270,554,326,
487,411,350,266,452,458,156,225,987,238,409,384,704,522,556,420,432,510,868,
843,002,396,749,201,228,005,008,347,165,134,055,988,121,141,643,926,022,125,
526,384,574,991,594,936,158,137,965,260,688,363,131,430,834,616,327,944,017,
457,880,602,595,767,526,747,288,084,837,204,395,378,992,953,224,942,030,043,
315,232,686,873,388,959,724,535,837,999,513,006,939,172,813,452,308,016,604,
876,104,567,986,949,060,542,296,217,762,564,897,949,985,333,283,915,664,383,
668,188,283,517,642,168,619,236,260,757,044,625,493,860,799,344,539,359,433,
914,833,205,882,339,062,398,329,608,318,209,794,357,064,333,562,242,512,084,
859,494,440,365,473,822,971,498,819,903,930,988,506,697,859,258,024,291,952,
498,469,063,793,183,858,058,709,842,649,498,204,328,092,981,734,544,078,971,
462,963,643,246,602,264,910,567,661,057,892,293,880,425,180,145,065,544,586,
890,298,878,818,150,795,709,916,567,432,423,457,941,141,585,967,245,166,502,
028,806,390,415,005,264,773,824,443,246,420,379,302,432,405,412,558,526,068,
959,240,488,073,966,121,975,291,688,382,245,427,125,501,661,777,265,714,439,
557,063,212,436,326,552,583,725,813,475,918,487,685,125,012,234,777,847,755,
343,676,748,281,944,116,080,650,577,842,302,654,821,250,632,774,063,936,130,
506,998,555,758,542,825,357,988,136,387,307,890,487,180,010,977,740,004,344,
150,427,014,503,296,806,514,428,730,214,784,022,752,405,060,278,379,499,485,
607,136,455,683,680,809,734,298,636,958,551,339,588,505,570,729,625,325,210,
552,189,787,676,842,092,336,480,992,771,544,830,042,391,658,045,098,026,008,
265,024,779,898,030,509,492,723,769,239,753,458,097,082,344,390,511,200,673,
797,081,082,132,241,401,729,678,791,682,671,826,158,745,285,171,029,911,948,
094,094,324,630,063,227,556,529,777,107,584,761,788,633,307,895,026,446,232,
608,973,292,029,611,682,087,997,938,595,123,793,434,147,945,320,839,517,597,
834,656,860,956,587,268,035,995,875,154,079,026,021,757,386,665,015,559,822,
313,056,999,082,138,815,389,336,049,302,741,555,195,755,566,693,891,026,631,
001,896,737,912,133,937,120,603,761,538,871,728,429,453,548,681,716,279,137,
689,513,859,650,058,509,237,919,730,874,665,888,607,793,320,319,152,480,233,
421,206,912,371,070,908,123,958,118,027,749,083,486,142,303,702,042,741,102,
150,889,382,560,432,256,800,638,771,284,398,192,191,538,847,535,063,056,923,
931,032,528,524,512,505,202,346,797,024,058,868,740,791,826,411,189,058,254,
384,567,720,702,616,372,037,384,493,135,331,815,146,380,343,531,738,649,649,
495,108,200,675,739,639,761,953,910,289,439,565,584,496,457,038,788,492,213,
399,034,991,858,253,431,543,406,980,304,869,407,576,373,918,556,917,029,395,
493,634,561,302,206,049,654,240,242,709,885,197,974,257,957,047,171,618,965,
334,395,819,122,203,526,515,305,350,076,481,941,603,431,237,136,449,070,120,
715,612,783,195,036,443,831,056,863,848,605,511,313,740,308,425,126,763,306,
312,859,589,395,448,414,009,500,212,756,927,850,757,188,889,449,108,469,090,
626,879,210,558,540,154,066,629,758,089,525,186,962,487,060,322,148,965,185,
674,801,635,287,882,784,185,089,189,625,166,710,610,153,484,164,515,102,026,
296,905,185,318,996,836,441,326,050,189,061,659,683,017,301,228,661,088,446,
885,087,543,775,502,566,704,091,682,377,395,106,266,986,596,172,031,928,195,
405,859,788,808,617,852,312,893,563,109,725,672,273,241,468,954,440,309,298,
501,396,783,646,125,049,372,611,558,698,186,442,296,656,575,617,204,666,755,
252,010,622,246,790,507,192,290,887,697,701,323,793,928,465,379,137,513,452,
869,293,851,852,981,647,174,516,959,067,476,234,396,789,729,991,917,650,487,
273,510,680,925,461,834,364,282,161,745,910,068,553,900,230,394,104,502,462,
528,504,594,041,997,184,798,781,636,620,043,055,500,472,742,062,217,586,120,
838,194,486,884,631,489,298,840,338,072,229,629,963,897,606,066,448,834,006,
010,460,618,976,943,618,669,474,463,369,650,721,748,781,043,177,001,399,383,
057,555,127,654,762,407,133,254,000,813,675,241,661,554,830,581,405,207,735,
128,351,181,930,788,884,698,690,194,374,820,310,429,151,743,107,459,709,944,
789,351,002,445,772,678,169,551,432,573,716,242,781,748,841,012,764,430,652,
583,297,528,743,445,704,548,213,409,473,863,502,145,324,445,094,599,959,342,
032,717,052,313,884,971,050,529,792,841,894,786,220,945,415,750,584,672,336,
718,843,791,147,124,171,908,808,756,205,222,038,463,422,657,031,478,766,274,
714,979,998,192,971,028,884,693,529,896,120,721,671,906,227,972,420,514,272,
132,922,955,845,717,867,701,206,309,921,207,323,570,756,737,049,351,228,408,
389,163,107,938,052,149,396,988,218,712,294,720,477,239,680,712,602,487,777,
683,031,334,279,065,379,247,494,276,851,124,835,581,373,618,628,481,329,128,
567,057,885,026,240,415,004,116,601,130,369,514,784,066,806,054,888,445,646,
462,971,819,377,273,831,034,298,439,974,403,122,248,580,599,298,894,340,884,
702,534,163,596,383,465,976,286,100,134,624,712,675,456,030,328,065,672,908,
356,541,817,515,221,132,383,041,332,103,462,533,836,395,830,501,944,402,604,
285,818,203,242,288,999,805,452,473,809,731,199,308,920,033,619,731,477,653,
492,767,138,902,838,126,738,827,967,554,450,729,238,702,393,283,962,482,129,
890,149,217,861,681,466,952,120,659,659,529,482,011,584,840,325,885,362,610,
215,776,401,317,522,594,292,693,557,614,460,451,822,084,990,930,237,970,999,
188,841,996,220,143,253,767,304,855,915,420,032,625,754,073,729,662,840,211,
698,202,420,053,084,465,010,636,777,417,140,070,292,095,503,111,706,310,494,
468,072,476,797,692,438,657,603,950,267,270,265,959,503,296,725,590,264,279,
688,568,506,856,135,052,856,401,062,588,474,468,186,784,795,821,533,165,341,
832,310,050,030,465,938,969,611,731,038,184,157,638,968,513,778,701,848,650,
139,330,618,162,750,178,799,232,133,919,975,850,155,996,398,422,499,694,743,
916,127,276,450,351,142,379,678,971,969,326,223,947,995,995,435,495,715,771,
638,356,970,228,049,690,125,006,336,197,024,581,038,943,365,112,930,391,390,
726,810,169,625,192,832,471,310,879,761,736,127,840,567,124,247,455,615,777,
215,294,152,705,438,611,946,971,923,277,359,561,658,779,038,192,632,770,129,
532,749,828,305,515,212,664,756,615,261,059,909,133,530,051,630,023,994,785,
615,499,486,420,513,537,378,184,173,559,239,975,345,413,533,481,899,867,938,
112,063,550,031,525,049,491,502,382,368,431,805,597,826,383,862,732,516,005,
007,012,350,547,376,672,126,313,310,945,050,524,414,426,100,408,723,656,138,
805,697,528,521,485,373,958,602,873,954,404,717,657,009,846,800,075,385,370,
131,622,848,608,316,970,449,411,112,310,059,801,700,886,147,299,920,471,030,
972,662,974,672,290,491,734,340,782,615,338,612,070,928,059,728,985,000,877,
677,339,200,701,930,174,231,854,343,705,648,850,540,082,954,026,223,111,451,
226,751,713,800,847,071,470,118,486,296,863,456,856,120,485,722,705,388,665,
180,223,173,286,340,602,233,990,700,082,085,831,104,670,355,742,215,139,047,
224,212,477,366,507,545,408,596,933,965,746,419,939,123,492,195,833,175,576,
099,014,081,846,617,804,119,845,202,929,661,586,464,934,918,732,917,957,647,
997,251,331,103,099,020,145,328,264,415,520,674,787,077,726,914,900,491,453,
385,695,640,869,730,954,837,216,819,132,940,523,020,872,316,581,735,725,460,
636,116,629,461,714,332,692,530,424,331,173,719,701,876,934,785,860,469,878,
933,704,800,031,373,186,470,139,154,023,508,532,569,550,914,769,214,922,438,
517,301,706,401,891,388,154,557,626,411,557,540,059,085,138,977,546,489,993,
337,434,693,077,329,977,468,126,689,169,563,685,722,253,458,209,018,380,757,
434,383,548,307,937,385,140,234,027,500,435,635,596,443,039,826,803,433,513,
866,665,459,066,175,421,707,426,834,473,091,320,225,469,199,857,253,549,603,
191,895,568,762,620,978,526,761,495,651,449,425,938,785,221,694,952,360,085,
755,911,907,927,923,857,460,709,062,998,295,992,785,254,224,480,281,819,742,
651,949,705,365,789,248,149,020,337,300,092,274,452,392,141,875,800,814,171,
546,508,271,566,628,567,870,512,009,131,018,291,835,109,219,168,321,643,760,
700,649,113,710,235,792,732,234,748,242,218,219,198,099,063,255,780,730,608,
366,208,569,340,038,166,883,034,506,573,834,976,974,587,197,705,676,453,340,
235,557,811,675,089,852,169,566,120,352,469,315,077,188,084,992,492,899,943,
227,629,475,190,847,137,177,716,988,029,179,283,494,404,733,034,153,865,551,
146,978,086,574,804,687,499,320,956,651,643,723,299,086,722,085,421,204,074,
561,766,836,798,553,548,859,323,305,250,978,281,559,264,415,684,013,159,501,
709,416,193,755,476,753,281,049,349,474,146,184,552,018,824,507,394,648,250,
954,813,542,556,941,531,795,576,500,626,686,030,853,039,436,198,999,160,677,
842,270,700,265,029,380,501,903,802,922,801,858,121,457,153,752,086,088,794,
480,138,062,085,777,761,486,356,556,181,035,319,180,197,982,667,374,671,613,
304,620,181,695,279,534,043,921,902,327,729,072,278,868,032,691,596,990,345,
845,765,827,931,437,889,925,876,852,229,923,590,060,650,735,769,106,676,665,
012,161,514,639,238,455,337,204,311,328,885,801,028,132,703,953,482,492,046,
588,740,175,596,056,834,128,419,881,475,934,230,656,675,617,205,594,477,854,
520,796,784,700,241,967,434,583,380,277,105,246,586,259,566,651,629,286,003,
793,278,787,725,667,584,762,515,607,755,673,031,495,351,101,854,331,120,615,
678,502,193,532,794,053,758,191,480,651,012,820,460,441,640,687,017,832,884,
380,987,636,463,435,596,485,872,901,605,503,181,659,131,747,200,567,970,381,
341,948,772,923,147,327,230,809,651,935,906,414,725,467,188,405,506,534,618,
200,041,612,369,644,193,705,874,380,884,400,713,912,110,985,267,414,667,369,
188,250,079,473,302,451,865,387,665,920,132,451,213,835,275,059,790,593,301,
266,305,346,798,196,943,306,868,661,051,749,373,405,339,585,769,756,029,865,
149,692,061,552,521,279,515,676,322,189,056,176,902,230,930,107,208,918,273,
590,961,743,527,036,227,142,082,070,657,376,036,430,653,297,752,895,330,653,
886,906,747,212,393,324,768,994,612,869,790,349,363,500,768,096,897,811,935,
693,072,841,396,172,754,644,099,301,259,013,697,032,784,934,124,939,221,270,
589,242,751,746,826,487,806,114,293,036,436,397,254,074,799,666,312,771,392,
267,091,981,973,546,719,974,049,192,258,453,863,164,786,977,156,812,725,648,
282,614,902,011,095,336,941,952,431,876,533,149,512,287,413,823,490,779,425,
704,010,662,829,918,026,996,291,145,235,613,341,735,370,453,170,127,484,520,
751,657,373,323,558,200,790,139,211,791,881,822,469,689,481,388,945,375,348,
867,753,072,093,045,806,422,733,478,758,446,157,226,703,286,209,124,171,981,
005,107,526,995,479,509,544,793,143,976,838,776,632,306,052,762,551,243,663,
541,624,106,226,869,237,106,579,553,536,674,938,489,528,848,105,879,061,779,
489,607,162,690,756,437,346,076,438,952,357,413,308,368,349,659,065,304,838,
774,169,295,200,657,774,743,198,220,055,463,819,154,496,363,804,738,914,781,
962,603,704,250,298,606,744,752,597,339,785,492,849,260,530,373,151,580,060,
272,985,205,235,006,688,346,634,533,753,298,293,191,137,895,265,539,903,905,
888,054,376,442,792,207,637,706,383,099,117,897,263,911,840,817,884,553,338,
610,429,284,736,831,177,726,130,218,904,534,524,116,552,143,272,092,868,862,
470,880,386,971,309,275,642,687,424,240,483,760,031,145,928,429,094,346,891,
877,118,582,838,103,544,064,405,298,435,315,734,376,392,701,894,138,565,513,
447,693,270,380,510,948,143,508,543,429,401,768,374,530,033,553,531,176,333,
990,750,383,355,001,754,178,322,395,227,978,085,659,898,778,302,282,195,630,
995,792,246,620,873,422,917,539,901,844,502,438,553,310,725,095,700,336,250,
329,575,775,087,082,141,795,607,867,393,856,340,625,584,975,681,573,559,111,
269,274,543,461,268,782,304,095,439,217,897,640,267,602,070,442,701,726,555,
366,408,815,972,683,128,014,867,779,990,015,429,034,477,274,973,138,801,595,
996,442,344,278,697,052,604,925,698,788,747,558,047,384,996,091,578,983,418,
581,640,765,561,062,305,748,133,167,977,903,812,417,164,483,961,532,034,331,
029,378,008,709,976,118,880,388,219,968,189,030,427,058,953,071,763,552,524,
300,446,818,831,999,349,825,154,218,538,852,479,579,508,518,091,891,270,313,
568,515,942,138,234,557,446,487,842,920,084,135,673,945,130,673,767,417,413,
152,365,809,026,569,985,703,466,865,410,239,021,383,485,795,665,689,749,480,
583,584,288,155,902,788,731,353,329,057,383,899,057,786,613,438,662,689,653,
810,627,043,715,520,405,009,783,837,837,443,141,602,889,211,293,398,882,329,
788,284,092,876,930,236,537,623,921,247,262,929,291,670,972,148,718,442,669,
556,706,947,056,116,268,031,483,308,524,422,181,110,542,911,108,580,023,694,
224,599,189,384,646,872,801,025,255,683,595,693,526,895,378,061,582,649,402,
182,435,151,366,402,278,329,697,305,206,295,734,395,446,916,387,777,890,596,
263,110,805,506,895,387,470,347,379,383,099,096,249,321,856,401,799,935,701,
379,091,397,644,510,226,625,199,806,056,306,905,451,451,801,213,634,842,743,
028,025,273,057,347,709,486,342,938,694,893,443,853,660,226,996,809,840,213,
353,658,568,651,501,269,547,495,858,730,901,350,226,163,412,227,084,932,130,
604,660,532,370,694,972,958,686,389,932,508,870,764,814,238,248,934,560,734,
289,202,979,565,266,323,608,744,285,450,889,797,505,933,233,582,804,482,348,
608,829,472,364,962,701,990,496,837,242,660,952,756,905,457,809,774,615,247,
323,624,998,990,144,014,293,692,393,666,344,912,112,777,387,934,292,665,718,
107,282,753,838,120,246,786,975,763,504,389,684,751,230,436,276,937,746,022,
353,027,942,559,901,874,628,796,910,517,353,721,861,605,083,980,264,425,743,
873,606,899,822,760,499,762,932,313,872,694,797,865,779,867,882,537,876,678,
401,225,873,918,910,970,823,057,514,779,713,001,297,916,862,233,198,483,124,
450,835,667,604,051,738,257,186,725,633,057,059,990,406,878,719,641,361,093,
021,982,957,913,735,586,480,097,375,894,838,139,726,220,716,616,648,153,169,
212,381,161,991,811,059,420,539,421,434,454,383,461,629,621,558,073,500,575,
494,976,080,006,494,515,962,386,633,715,810,340,064,259,395,575,612,207,994,
234,619,433,151,701,921,563,636,971,937,085,232,904,938,769,111,179,553,567,
554,015,218,157,159,677,029,106,729,571,135,927,613,604,459,262,779,030,703,
609,135,589,515,230,846,684,218,539,886,257,343,499,114,250,053,208,825,858,
093,437,554,705,512,741,398,958,418,674,851,755,346,312,895,605,426,139,189,
798,299,790,138,772,996,877,830,560,619,104,796,355,453,540,647,142,602,165,
583,443,212,404,910,735,239,088,346,716,600,221,734,686,825,305,388,213,093,
225,881,382,678,814,803,054,919,212,719,422,051,119,927,339,134,110,263,196,
822,605,456,588,078,700,491,036,254,377,084,685,549,865,264,666,330,488,667,
092,055,464,569,056,421,232,298,656,263,915,836,765,457,174,808,605,602,061,
920,185,835,565,081,631,402,990,320,740,310,534,049,500,631,926,124,724,714,
752,630,773,318,655,110,157,646,893,355,722,575,960,619,363,427,106,346,851,
863,046,981,278,769,088,363,768,246,965,323,806,773,650,018,337,164,679,590,
533,281,291,515,439,776,550,617,655,832,512,639,426,779,813,533,430,698,188,
481,019,710,931,061,065,222,645,380,285,328,336,111,820,781,126,898,887,391,
286,046,374,637,330,094,155,755,463,479,018,759,772,290,583,049,433,046,387,
316,727,957,035,107,723,326,574,016,553,351,652,945,662,771,975,248,914,567,
070,061,324,716,226,030,320,425,483,668,434,927,633,596,611,477,357,638,123,
416,112,036,861,928,911,057,914,441,946,821,269,341,346,867,458,448,499,149,
177,711,917,335,121,750,299,429,105,415,006,636,850,301,826,842,750,442,417,
282,698,677,801,588,936,798,433,724,252,841,513,537,589,753,797,261,791,955,
674,747,465,426,632,088,812,030,225,922,416,514,773,743,637,694,449,311,448,
900,774,252,129,167,605,295,890,026,717,823,832,280,126,746,074,962,172,169,
032,209,893,462,945,637,618,567,537,338,774,892,850,994,496,760,514,266,313,
906,860,224,755,620,750,903,324,861,900,732,767,735,428,054,156,884,914,770,
893,257,628,356,075,868,665,806,224,995,199,057,272,372,203,921,491,262,391,
236,856,724,399,188,770,814,124,683,184,365,274,705,286,069,020,747,411,215,
916,711,983,162,448,878,845,370,336,666,769,700,072,934,949,883,713,687,975,
456,117,285,335,542,104,334,961,084,486,510,366,608,675,097,468,746,984,396,
598,622,622,032,175,608,115,680,474,725,673,997,224,944,087,019,318,001,012,
226,308,019,504,663,511,107,536,000,604,222,811,519,203,205,491,835,045,214,
178,936,249,940,005,043,366,903,970,740,258,509,523,385,026,585,859,733,322,
298,821,667,143,315,625,062,240,274,829,421,881,689,813,435,509,497,903,205,
672,197,158,958,856,652,301,733,411,677,653,261,082,459,471,493,159,782,127,
668,986,077,172,941,609,058,804,663,060,190,070,821,942,523,201,387,885,903,
476,132,141,535,907,871,855,383,523,061,484,311,291,856,412,661,243,856,209,
618,121,020,020,102,665,907,159,684,761,058,172,121,944,034,422,669,533,752,
901,145,111,151,468,203,314,902,111,400,715,254,570,145,282,853,710,893,369,
332,402,861,795,638,910,620,848,032,916,269,887,262,869,078,592,628,040,583,
639,101,987,112,840,462,082,595,180,692,993,658,545,793,805,591,220,575,875,
879,898,750,577,905,776,883,255,672,987,021,138,765,106,933,322,849,690,976,
061,856,983,932,847,586,684,516,819,465,184,542,555,643,469,589,668,066,243,
142,308,796,164,708,530,769,043,644,186,478,528,562,377,970,216,351,965,541,
088,104,976,460,092,319,955,966,714,657,237,224,019,874,286,087,052,205,619,
248,151,039,268,407,864,670,181,347,944,844,342,086,340,263,888,377,652,895,
911,381,745,166,921,668,100,376,998,709,723,483,648,252,130,425,108,993,805,
459,316,134,443,600,172,676,738,118,844,703,679,131,281,890,184,545,324,049,
508,964,658,859,530,486,975,598,806,703,007,731,426,142,990,407,364,013,871,
020,082,302,339,704,889,672,250,851,932,540,031,515,764,145,376,792,414,714,
594,728,828,903,466,165,743,603,373,159,918,720,206,777,488,233,262,082,151,
615,173,379,289,808,282,119,819,206,582,794,620,165,001,756,940,832,733,352,
194,138,207,476,337,817,921,435,202,105,300,419,782,453,124,729,568,488,172,
190,340,583,398,293,044,324,983,598,596,012,701,302,370,418,609,981,873,905,
853,975,871,382,105,824,324,315,551,458,698,139,038,669,898,246,627,306,792,
512,602,158,803,821,076,343,160,469,057,693,481,956,656,277,757,117,165,830,
148,650,042,376,005,472,416,771,093,279,584,236,640,821,725,342,444,630,228,
584,962,214,540,476,818,876,723,508,792,816,226,206,924,681,984,586,972,929,
093,350,418,333,873,479,933,804,120,853,221,913,391,093,473,595,812,275,086,
586,644,390,845,614,023,545,855,837,554,685,234,105,207,445,638,115,558,355,
936,478,838,631,213,929,338,159,402,566,919,521,022,764,180,260,814,219,757,
441,163,906,630,782,928,547,943,966,227,495,118,625,269,676,061,190,635,309,
488,698,509,643,247,701,525,918,365,200,755,861,585,547,214,734,175,582,553,
128,418,688,421,261,094,346,428,779,788,778,372,041,279,325,367,362,665,882,
869,927,953,217,869,747,975,889,114,609,303,729,100,295,215,165,506,867,154,
388,811,381,120,046,805,576,029,087,048,777,193,310,285,951,602,037,919,394,
407,173,300,016,278,631,555,422,397,329,996,337,452,341,037,658,851,590,001,
189,507,323,532,747,092,553,842,468,165,831,926,928,851,012,089,301,426,963,
859,663,655,290,882,311,065,960,667,614,887,857,148,337,003,559,794,526,084,
121,285,341,679,778,242,411,769,652,477,302,394,770,530,838,615,043,594,799,
365,444,663,257,672,373,296,214,546,249,738,708,767,206,265,667,249,427,282,
282,942,920,064,834,964,565,688,537,274,245,961,712,484,948,462,893,329,879,
042,302,740,375,252,481,870,551,273,285,749,709,675,838,224,874,969,549,624,
038,097,213,061,555,843,009,652,493,472,610,787,009,089,239,917,809,719,086,
066,038,560,868,028,236,676,128,387,870,068,743,263,966,556,089,395,079,672,
554,739,798,952,374,664,477,076,158,769,848,253,160,716,781,747,371,817,890,
318,381,093,754,081,838,015,235,385,665,999,033,616,390,930,928,615,681,999,
097,487,060,447,693,550,940,253,089,316,499,663,090,199,851,900,990,143,221,
067,250,875,953,472,607,580,613,709,097,564,786,653,888,255,676,494,827,110,
609,048,867,637,329,265,307,965,635,284,460,570,076,373,384,215,040,035,813,
523,370,919,336,709,037,014,614,261,588,288,635,017,866,579,776,132,918,521,
330,061,802,616,045,285,421,303,004,138,020,046,662,360,045,959,359,543,296,
381,379,876,929,631,874,743,692,261,020,824,924,586,678,954,260,367,683,734,
362,256,688,416,827,699,767,296,826,768,582,161,211,596,854,506,615,937,848,
099,593,497,234,200,927,698,052,527,776,273,579,755,881,069,921,563,249,764,
202,375,518,332,401,090,551,488,712,809,009,238,194,146,733,951,318,039,366,
172,987,972,433,880,635,758,197,784,474,488,490,413,687,650,412,402,854,731,
539,311,696,647,549,746,985,733,226,099,203,566,551,222,240,432,675,594,764,
730,437,240,116,812,881,072,664,749,926,637,871,798,271,564,820,749,571,826,
516,282,492,409,798,572,467,101,346,188,412,437,399,568,758,652,892,893,574,
775,072,819,194,979,824,415,383,610,733,763,781,527,534,485,671,308,913,238,
300,156,676,689,397,335,705,545,179,627,255,730,392,487,269,726,536,772,737,
024,902,447,874,199,251,696,010,950,261,773,180,719,338,899,246,401,006,026,
897,724,178,204,302,898,843,001,453,419,155,645,571,783,076,716,240,261,264,
871,229,589,759,334,407,226,132,049,098,188,423,155,326,193,818,129,090,512,
666,554,216,596,695,603,228,158,306,920,710,591,471,256,779,759,262,792,506,
179,651,545,607,406,430,645,308,013,525,191,063,929,743,926,338,180,561,275,
990,476,981,727,439,258,244,960,508,680,164,948,773,781,127,338,076,181,249,
307,457,183,285,137,164,300,825,041,698,040,517,774,191,161,702,263,553,234,
363,171,216,739,006,160,576,596,425,334,251,717,955,785,871,338,078,487,356,
711,309,002,767,272,255,302,496,937,262,910,809,273,381,102,382,078,116,170,
720,689,009,278,806,350,437,418,935,250,167,158,497,223,334,184,077,181,930,
753,403,244,823,154,837,626,338,425,315,008,702,568,667,704,564,701,373,861,
487,730,690,454,703,452,951,673,513,224,458,149,339,626,275,758,614,999,843,
716,355,192,077,705,205,130,694,212,508,527,766,886,139,159,379,852,811,420,
351,336,558,813,947,707,342,062,159,665,264,900,922,347,814,365,792,243,488,
066,339,854,830,287,934,016,438,462,774,567,415,261,425,994,044,202,674,300,
131,208,059,107,292,938,476,384,013,223,702,822,999,947,170,095,564,421,202,
654,408,246,026,640,150,213,899,010,448,243,128,711,464,085,063,950,082,758,
061,872,802,709,905,065,045,984,823,317,282,574,415,419,381,825,172,008,722,
078,250,446,669,385,346,801,994,394,205,388,636,270,291,600,048,826,439,665,
165,241,043,742,097,297,632,983,762,104,020,099,405,650,448,455,588,803,354,
554,932,694,172,668,717,135,571,371,065,650,161,240,690,771,397,000,245,156,
455,466,813,432,106,780,375,056,394,328,913,351,044,499,895,159,363,120,489,
218,845,794,363,965,711,505,456,630,692,296,818,664,453,905,126,604,561,228,
267,135,384,481,028,897,105,388,340,814,259,636,526,504,225,198,275,491,976,
260,355,072,963,798,460,475,439,321,459,398,665,724,147,310,775,809,519,210,
274,109,918,038,116,932,181,732,995,105,191,147,166,343,281,466,787,424,966,
438,983,987,229,437,877,694,065,483,305,433,128,724,640,299,332,551,010,090,
615,171,468,648,045,364,051,699,446,466,399,153,563,455,105,066,304,267,084,
871,803,248,691,506,910,412,791,483,585,975,233,007,954,391,241,492,318,159,
979,283,404,142,421,241,575,156,144,863,161,613,468,051,551,572,531,903,935,
618,364,912,609,155,616,613,873,817,788,216,405,417,242,405,864,782,489,515,
637,036,274,879,952,365,855,270,610,934,637,511,527,261,190,435,441,748,816,
533,838,309,409,757,266,105,671,260,333,661,348,014,850,639,125,117,719,133,
143,523,853,393,418,798,073,679,578,818,938,697,630,674,254,839,048,064,426,
098,787,193,852,209,382,111,808,661,502,740,071,255,681,960,201,582,692,608,
819,499,723,587,994,512,341,717,193,829,415,635,611,776,843,387,577,736,258,
377,358,036,761,783,822,255,215,323,982,134,929,705,593,517,075,021,102,233,
873,944,951,218,556,843,347,518,128,325,563,184,114,703,602,705,543,750,040,
149,365,965,900,154,912,615,860,043,937,621,241,695,069,208,639,523,136,138,
790,176,090,536,700,773,555,851,803,047,861,284,528,618,360,881,158,369,912,
032,957,315,746,280,857,246,528,953,802,201,124,306,850,658,363,981,382,494,
015,270,255,205,751,578,332,378,343,427,058,764,538,973,972,402,864,500,570,
348,749,279,680,681,103,957,496,661,669,915,646,778,347,947,709,698,891,685,
104,428,889,666,615,959,750,769,470,165,564,665,620,678,788,077,959,944,095,
268,040,097,576,467,716,565,113,224,196,290,189,748,186,613,462,804,226,793,
600,988,892,261,299,631,416,695,354,713,630,885,550,693,157,691,903,619,078,
654,327,624,128,222,331,542,684,516,001,770,011,386,819,044,199,179,355,623,
367,933,052,338,488,932,708,019,295,418,334,703,573,338,047,142,310,691,299,
372,115,425,886,308,031,850,643,841,119,204,233,530,843,024,011,629,587,238,
710,291,612,155,526,469,988,676,990,177,259,402,362,739,142,230,181,676,461,
553,843,402,016,518,647,416,144,969,191,514,863,947,451,152,274,639,388,986,
657,479,263,312,914,470,238,158,771,936,300,703,021,336,815,001,784,673,863,
550,065,866,572,750,195,017,699,025,069,301,270,495,064,573,702,292,535,679,
927,887,464,222,973,607,351,212,785,674,223,856,394,837,791,421,071,333,535,
309,615,994,407,926,954,449,481,351,127,481,898,609,567,749,285,460,064,097,
928,557,021,947,924,351,736,697,066,201,745,104,221,618,808,213,294,467,828,
031,382,728,393,462,995,212,310,683,687,625,766,599,131,567,338,978,626,243,
920,596,878,927,731,318,175,408,153,470,440,749,000,747,873,405,669,512,852,
956,771,051,065,946,359,588,338,639,368,285,830,781,227,891,325,418,630,118,
897,305,697,671,419,802,185,080,955,397,229,066,567,441,423,688,188,155,296,
737,989,055,250,734,778,541,630,529,624,994,237,581,414,684,164,163,388,967,
209,854,718,613,269,813,679,352,039,958,093,326,823,452,574,902,420,065,932,
136,100,010,348,634,461,142,171,997,485,346,278,221,931,206,240,055,657,015,
690,305,467,262,091,649,248,612,996,972,865,999,488,512,600,174,794,747,955,
941,412,756,666,719,918,189,388,433,485,549,217,257,722,514,544,580,363,392,
715,894,951,114,023,834,652,537,925,503,920,909,709,279,679,172,786,370,943,
463,995,588,604,168,706,536,214,400,662,083,623,131,759,856,420,457,094,936,
935,472,936,691,742,959,324,763,129,338,833,293,208,568,347,347,007,092,155,
172,751,821,482,053,065,180,419,520,560,176,975,363,586,746,677,466,332,597,
107,960,770,693,027,812,973,603,950,049,824,394,842,302,068,307,792,252,490,
270,345,726,316,521,528,385,759,965,758,003,712,067,595,158,857,788,137,600,
567,788,887,382,291,872,809,974,814,542,384,998,161,942,137,452,791,059,435,
502,563,197,623,038,496,030,153,502,814,519,859,869,237,795,315,181,951,597,
962,324,016,839,276,232,906,588,991,512,063,634,372,037,985,610,041,230,064,
704,961,770,591,639,768,868,555,727,369,634,321,557,740,629,506,727,094,092,
505,410,384,649,366,806,226,335,781,000,747,260,625,156,060,185,680,215,432,
444,447,886,296,913,721,675,433,129,105,728,962,130,179,613,289,378,003,691,
070,804,082,379,863,967,757,021,192,438,971,339,490,721,298,723,560,780,916,
074,204,975,774,007,699,058,505,329,333,817,311,994,720,829,117,603,406,438,
946,153,422,540,192,288,385,680,610,512,352,278,889,341,484,298,968,761,919,
062,845,016,209,158,461,999,247,035,980,404,619,776,188,254,394,209,723,083,
418,933,835,939,362,946,912,972,513,043,791,964,206,237,628,850,197,890,056,
027,562,740,935,314,272,371,340,652,523,489,176,120,281,149,419,014,599,235,
417,375,227,012,717,697,041,929,170,326,392,461,876,699,075,181,529,111,608,
828,767,588,499,134,109,497,317,919,088,790,908,785,121,554,684,854,586,248,
807,605,986,130,761,375,048,309,263,144,298,313,453,921,261,664,524,303,839,
657,990,566,846,461,891,192,208,296,909,657,656,976,751,348,313,337,583,280,
965,156,089,227,619,486,098,258,333,987,621,561,624,964,113,537,022,770,619,
060,498,064,297,376,824,826,636,968,929,408,080,777,988,016,436,814,199,743,
375,397,645,467,063,753,307,774,177,399,744,443,889,166,058,221,513,532,621,
614,728,168,613,758,185,475,136,467,626,848,859,907,546,068,196,357,370,774,
238,103,111,954,620,266,629,307,804,376,769,174,531,023,836,317,995,427,846,
059,179,917,460,816,497,844,665,404,199,893,291,454,783,741,702,848,904,303,
785,180,707,387,130,593,960,979,361,944,945,299,235,868,856,599,656,252,611,
067,648,214,127,301,785,258,457,900,871,301,858,183,082,787,545,860,918,226,
580,715,004,559,452,368,922,035,803,763,709,866,756,198,088,865,390,238,698,
780,020,204,871,903,545,144,619,453,796,001,870,904,256,581,480,109,031,349,
441,535,275,744,545,147,880,400,200,397,722,952,333,146,969,730,431,702,230,
191,082,037,905,600,784,043,464,654,778,065,326,107,143,164,290,317,271,841,
372,775,188,558,512,386,504,076,890,771,204,745,138,781,889,108,292,294,387,
088,478,547,351,135,967,018,957,966,747,198,501,149,138,628,509,205,060,958,
573,854,292,402,619,174,058,553,383,886,317,325,095,339,512,116,875,096,235,
226,392,607,420,739,941,835,993,598,275,564,111,776,518,982,238,185,965,419,
296,967,204,405,142,603,809,422,015,815,350,995,710,829,486,243,731,296,351,
569,449,400,532,926,651,825,593,452,835,802,788,489,537,866,414,699,626,039,
482,455,113,174,680,431,294,545,063,189,096,374,803,997,318,698,863,210,805,
366,131,732,367,509,640,278,646,179,224,500,786,570,389,507,543,743,543,528,
239,444,321,248,552,517,724,039,833,733,520,889,822,636,254,640,614,726,705,
964,781,418,765,490,859,871,997,701,071,124,837,931,295,030,423,679,041,246,
759,296,902,077,743,946,976,562,702,518,703,416,200,731,504,243,011,183,633,
729,583,539,625,254,120,625,773,593,157,640,131,025,769,075,405,054,691,345,
882,133,990,900,944,229,676,758,302,876,514,892,055,886,572,030,584,076,859,
290,369,682,912,463,294,254,884,199,670,881,418,181,637,629,796,520,334,438,
933,115,384,258,320,523,215,379,329,063,542,566,040,776,914,414,377,122,156,
039,009,983,227,676,102,216,670,380,589,204,032,888,411,574,238,900,001,773,
267,161,149,711,633,071,246,317,918,363,090,872,793,946,578,093,262,293,803,
098,595,425,706,201,013,001,882,467,043,006,480,085,525,084,650,291,731,443,
146,010,381,698,266,765,336,509,736,101,679,938,796,996,262,370,715,825,881,
910,230,319,538,552,057,482,948,591,852,235,339,941,294,634,938,853,015,846,
976,633,766,042,330,392,577,412,877,775,577,851,518,255,259,443,964,623,358,
968,283,316,178,627,102,554,349,113,259,104,202,529,304,109,013,652,198,713,
203,241,607,242,387,656,242,348,647,204,291,109,644,841,829,065,571,185,854,
598,398,655,300,511,722,985,718,626,912,988,473,904,708,672,259,744,424,906,
908,037,442,376,396,563,601,747,172,978,979,645,518,193,163,461,196,914,978,
100,245,090,896,688,582,073,798,139,815,591,506,959,491,792,359,774,040,337,
317,834,032,868,036,737,435,329,540,198,989,802,140,163,374,575,148,740,688,
674,054,469,649,381,428,570,605,089,333,954,869,412,420,092,771,335,596,983,
571,937,031,002,442,564,273,629,218,685,264,257,851,338,950,697,848,496,133,
775,837,225,240,618,099,734,023,596,759,150,409,405,019,894,145,776,717,623,
338,487,885,389,317,518,796,430,821,624,762,590,889,959,670,562,183,778,618,
047,566,461,036,135,204,160,801,817,944,440,852,280,772,192,031,747,899,384,
939,767,346,674,940,296,081,943,697,618,258,767,398,340,738,816,290,443,961,
371,943,732,913,470,964,753,873,365,667,399,765,661,792,134,648,179,758,946,
165,048,648,797,038,706,486,904,519,522,166,768,181,121,229,393,952,267,120,
319,006,081,577,995,013,409,589,401,719,750,478,499,464,346,968,835,264,688,
074,362,028,539,725,650,354,726,766,500,507,954,400,004,384,341,550,421,521,
425,135,574,564,986,807,299,143,268,882,268,038,308,520,198,146,466,380,322,
112,741,847,536,669,707,405,417,764,262,594,217,814,394,432,198,956,696,388,
501,640,632,827,881,215,636,007,192,286,046,926,259,565,001,782,482,169,728,
218,378,655,104,720,621,464,633,801,341,419,586,727,947,551,685,698,061,378,
957,456,534,687,721,725,599,358,587,002,269,463,335,770,598,037,921,951,382,
984,045,066,399,671,156,184,180,152,200,821,869,827,959,419,051,305,322,590,
674,697,406,285,833,471,207,454,957,260,064,113,278,243,945,629,953,205,331,
003,751,349,821,432,774,941,968,842,771,012,941,460,681,383,947,052,260,270,
252,449,162,956,558,471,700,304,056,345,391,914,388,321,498,169,125,251,112,
537,047,549,887,890,694,126,424,095,385,065,079,546,138,879,433,744,462,274,
342,315,230,564,151,080,726,597,839,197,676,123,689,662,312,684,791,098,185,
422,554,985,149,114,913,570,880,192,945,221,998,012,054,794,917,267,708,532,
142,387,412,590,701,381,165,189,853,852,491,735,008,599,811,301,131,823,466,
838,772,693,404,346,755,562,577,975,390,270,819,661,370,311,829,290,373,176,
579,677,328,975,450,850,103,024,332,218,862,408,237,994,687,836,142,990,950,
841,575,136,770,557,891,490,905,322,219,835,707,458,181,583,151,041,445,810,
312,030,627,064,057,279,312,954,001,576,208,780,349,739,663,426,877,162,657,
658,101,344,253,718,388,905,027,436,298,652,437,518,167,600,534,030,101,517,
237,029,428,626,223,566,746,628,109,104,684,446,993,916,758,775,161,869,759,
686,927,986,114,046,115,604,574,805,304,848,463,577,432,759,412,068,463,386,
620,799,824,438,389,267,650,986,416,574,010,565,353,622,323,912,119,396,383,
704,049,233,796,838,036,441,967,200,869,546,773,803,008,576,492,125,990,198,
200,394,996,124,125,082,824,541,111,882,838,177,996,345,892,395,034,204,733,
823,913,280,541,086,877,953,290,989,175,500,728,020,798,778,218,299,797,996,
640,039,101,584,769,005,166,948,085,054,292,872,140,187,201,448,264,831,304,
604,716,817,124,792,940,512,387,177,064,926,772,226,706,815,929,910,945,221,
524,274,360,283,232,485,750,759,652,893,539,728,895,095,410,524,653,053,348,
192,960,071,888,189,607,347,162,161,934,671,202,293,004,968,266,202,357,637,
035,534,981,888,778,029,270,636,436,038,828,977,399,745,149,972,505,471,228,
241,171,784,403,920,336,545,530,828,343,240,779,699,837,335,427,130,173,771,
824,278,123,866,240,936,100,609,083,078,103,261,476,584,949,631,043,510,710,
545,397,941,775,157,006,351,518,726,517,368,396,246,530,436,995,221,398,137,
623,333,877,234,962,758,056,007,944,478,484,882,863,979,318,055,564,141,269,
576,181,380,327,317,547,634,054,589,902,870,298,717,557,872,877,125,037,735,
233,205,963,307,485,465,296,140,007,259,288,292,263,062,714,891,039,426,622,
764,280,034,722,388,822,673,019,407,665,998,972,802,087,558,047,896,364,636,
069,699,135,119,527,893,344,145,376,625,993,051,621,957,264,942,574,813,215,
649,941,332,331,554,817,766,490,772,115,885,251,095,752,025,301,445,836,396,
257,363,719,365,365,994,897,561,305,246,832,131,194,934,053,475,471,899,575,
543,057,072,946,889,538,215,787,163,863,640,723,660,467,640,987,608,020,263,
990,161,859,937,381,697,456,332,494,080,219,433,716,029,453,908,217,517,264,
772,537,856,016,222,288,828,264,145,064,280,495,758,509,762,710,964,871,253,
207,679,124,977,466,202,583,940,489,885,417,714,672,954,803,126,162,209,371,
449,398,845,647,348,943,396,102,007,224,995,815,252,275,653,021,612,488,957,
668,193,318,343,284,797,988,246,259,982,394,073,755,310,365,980,626,438,096,
076,211,881,098,627,899,207,443,788,016,862,714,632,381,088,887,387,309,909,
933,429,346,382,401,965,291,212,905,090,864,568,569,436,223,993,034,189,739,
057,814,836,675,900,342,382,853,937,828,892,318,247,844,526,157,260,850,587,
172,331,574,711,259,051,724,723,006,410,123,563,448,209,153,607,693,299,618,
888,230,440,646,829,365,838,279,223,639,137,416,747,384,821,682,483,374,336,
229,895,490,032,118,012,087,297,074,766,039,317,412,628,626,967,995,240,524,
722,501,575,591,372,162,099,790,560,541,676,416,761,914,141,833,517,780,163,
291,347,760,405,507,187,663,985,748,489,066,054,133,106,443,046,282,183,838,
089,670,506,172,377,535,222,298,507,255,985,788,162,131,515,863,046,343,783,
161,598,100,795,414,365,335,492,506,330,854,582,656,064,299,462,171,589,408,
073,005,085,464,410,711,444,951,088,573,226,562,889,307,303,367,880,872,502,
290,464,043,941,013,758,492,267,623,205,381,167,713,464,143,145,149,224,002,
190,601,351,568,114,731,090,109,348,783,862,601,069,838,342,593,931,011,969,
942,458,778,078,163,411,917,622,544,071,801,626,216,562,468,684,774,808,290,
566,572,917,329,048,041,252,023,949,126,016,984,663,907,752,630,007,983,083,
417,161,182,916,838,882,526,560,904,179,738,467,484,969,269,736,870,809,451,
159,525,666,559,960,684,856,774,460,970,315,989,237,965,267,302,687,239,783,
618,129,972,588,006,623,499,508,156,180,993,267,132,624,738,167,275,360,174,
331,639,777,729,526,725,230,894,280,241,142,146,540,130,923,057,195,150,892,
148,742,526,846,855,723,715,134,444,154,096,160,389,582,141,166,549,597,449,
162,319,023,960,893,935,297,224,441,958,268,458,523,844,640,600,753,275,173,
194,874,808,258,283,443,712,683,556,527,847,365,928,399,933,386,269,469,440,
624,313,485,929,906,775,825,506,642,903,523,881,760,089,860,033,514,348,212,
869,156,389,696,155,415,290,256,385,361,125,355,699,204,977,875,248,406,119,
860,910,269,223,293,783,496,705,734,705,915,741,476,134,486,540,383,832,202,
484,983,828,351,072,013,171,096,741,288,196,381,268,584,959,452,095,156,869,
935,140,976,950,204,686,756,260,460,094,516,044,407,803,758,268,958,792,059,
930,292,965,539,518,423,062,032,100,981,125,993,311,812,632,622,856,156,064,
292,670,965,050,649,592,073,308,491,846,543,024,239,320,911,038,361,078,340,
958,795,298,259,617,663,956,428,145,018,203,565,690,219,419,628,604,254,620,
366,365,219,697,079,935,747,664,963,077,731,184,528,806,106,366,934,922,603,
858,181,902,990,523,111,019,803,645,090,625,265,675,569,726,001,798,171,447,
432,635,189,563,538,422,403,583,972,285,124,114,478,328,071,440,310,220,016,
362,684,484,068,316,140,866,210,323,522,541,258,975,453,915,053,957,351,395,
032,526,805,350,740,438,213,492,922,546,740,282,655,098,148,499,753,434,815,
675,424,105,104,869,518,744,013,659,635,915,152,784,008,180,621,433,671,530,
743,660,617,063,712,621,548,684,293,647,562,895,900,478,758,454,272,610,257,
450,895,640,076,672,791,388,232,355,498,086,983,279,445,068,779,962,693,871,
436,957,856,093,667,646,902,399,656,702,913,227,073,418,638,964,208,353,897,
479,842,585,087,754,337,164,111,799,191,103,539,033,309,447,833,561,904,521,
619,828,388,499,095,808,174,982,238,528,517,232,874,629,740,504,512,184,625,
689,738,218,992,336,294,409,602,579,194,883,356,055,632,541,676,045,484,285,
566,513,901,414,718,882,825,697,350,696,864,196,702,155,266,251,264,174,968,
098,481,486,856,289,499,412,974,746,466,777,104,338,327,242,323,345,140,489,
629,501,121,715,411,812,653,875,405,352,644,518,113,195,327,022,760,373,240,
253,836,068,706,488,318,259,293,408,140,194,114,757,772,194,768,538,456,785,
905,009,428,803,327,011,319,054,399,208,503,284,961,794,254,236,116,744,295,
952,256,879,203,825,748,709,389,838,143,603,081,982,008,749,653,093,427,226,
369,920,857,925,431,654,411,358,127,986,542,917,895,504,923,103,500,640,249,
098,149,513,558,262,492,006,674,811,741,871,617,021,981,656,516,482,671,486,
148,463,210,482,085,730,302,891,935,535,419,848,948,689,973,239,166,722,097,
417,810,503,680,701,531,649,906,394,815,979,529,205,793,687,816,835,199,944,
246,899,697,091,790,393,503,931,545,198,101,750,421,438,249,048,097,501,864,
034,995,881,477,431,325,345,066,607,500,637,871,018,621,828,569,125,776,743,
786,706,809,674,123,880,927,553,202,442,099,898,672,661,307,636,075,126,484,
974,443,859,658,545,667,992,043,409,782,452,889,788,566,926,402,092,876,171,
280,074,638,552,013,856,838,557,544,498,351,330,356,400,554,985,163,882,360,
627,001,642,570,550,845,261,286,809,614,878,310,393,072,916,458,404,625,006,
833,686,966,121,548,575,290,593,014,007,279,948,132,384,823,883,414,957,438,
831,546,472,985,532,497,734,707,504,317,457,140,246,180,319,575,770,125,555,
739,401,654,826,036,669,670,432,683,951,595,117,734,113,758,592,306,871,186,
467,359,678,149,744,276,250,862,208,282,710,649,548,547,468,771,761,456,601,
390,123,890,909,406,296,004,394,489,910,895,312,930,561,440,475,799,091,949,
269,608,711,868,815,806,268,175,787,004,950,790,540,643,572,518,130,007,924,
061,301,085,511,747,953,992,239,660,856,686,000,714,898,055,355,925,183,203,
569,338,740,449,898,779,731,033,260,127,758,534,975,096,796,614,531,542,714,
221,737,790,785,601,326,339,665,125,634,243,153,185,660,043,347,937,655,078,
014,684,522,541,283,982,819,329,169,127,444,402,452,327,797,673,509,064,476,
700,493,019,791,369,745,253,360,680,688,588,547,735,994,151,511,471,987,903,
642,226,628,568,660,701,626,330,660,582,248,719,668,691,242,455,036,933,110,
301,825,131,145,896,945,116,508,861,695,418,135,481,336,730,737,653,790,089,
032,843,778,415,281,055,436,320,425,749,458,430,510,488,141,908,588,857,337,
212,966,266,357,309,631,171,273,236,288,221,987,796,595,807,886,759,226,494,
363,543,485,998,244,950,536,116,043,133,366,540,038,038,299,280,456,452,511,
798,287,398,892,680,792,318,700,699,097,021,674,424,803,425,091,176,158,431,
391,426,016,995,628,024,087,591,329,791,453,452,354,616,628,575,989,825,205,
189,644,701,374,982,832,149,308,346,636,919,946,425,264,835,154,720,376,810,
455,466,946,674,560,141,761,660,065,433,812,310,670,860,202,418,427,910,523,
755,354,701,111,301,488,358,534,665,709,859,353,354,379,041,285,281,576,133,
157,833,241,890,083,435,999,022,984,451,900,200,753,602,969,424,303,504,142,
628,097,018,516,622,332,217,683,414,609,067,263,698,724,087,558,320,491,987,
594,599,289,065,406,255,923,070,698,729,413,614,470,697,178,651,283,529,145,
215,420,225,035,229,264,841,938,748,314,892,293,764,285,221,500,493,303,427,
289,015,165,445,113,322,563,558,043,662,077,249,290,919,284,436,594,192,417,
177,373,565,081,202,230,551,385,153,611,509,206,229,267,587,766,664,487,706,
833,369,757,831,341,449,218,549,743,901,068,265,163,703,791,110,439,423,426,
796,790,993,527,668,596,308,835,948,829,506,880,978,019,699,616,087,503,272,
266,160,995,610,501,788,940,870,146,715,944,417,625,221,775,269,354,726,051,
509,621,153,500,399,346,290,771,679,452,832,312,931,875,095,725,012,041,058,
560,262,696,491,747,113,738,226,046,126,977,511,535,785,676,407,678,010,931,
973,852,715,367,791,510,648,916,046,611,159,154,217,873,028,243,831,384,239,
916,988,232,604,354,061,623,102,359,770,949,339,067,573,033,776,167,588,889,
537,058,631,325,261,006,958,602,361,458,809,502,717,575,401,177,164,599,339,
572,829,761,344,000,243,587,532,703,332,936,410,571,140,665,489,554,889,348,
065,498,312,739,718,223,660,286,786,813,502,902,621,635,961,945,453,287,180,
584,770,270,769,793,848,221,335,952,354,472,841,427,319,343,114,696,043,036,
394,317,535,556,407,034,576,538,144,817,337,789,150,942,167,999,611,283,948,
578,603,502,144,669,340,715,015,408,184,680,981,557,099,759,482,086,074,842,
883,914,081,721,515,131,236,097,596,098,287,115,963,256,858,258,375,019,345,
548,633,672,129,094,240,082,551,703,397,967,466,944,154,878,341,802,645,268,
488,389,727,988,294,133,118,793,136,178,759,759,598,293,397,499,789,097,127,
563,637,522,365,230,556,860,813,711,024,888,062,690,244,596,412,320,387,015,
887,194,426,824,762,445,624,070,912,325,688,364,629,243,891,562,483,822,536,
206,522,608,818,640,256,078,494,535,311,941,500,918,162,435,216,168,420,468,
307,122,556,978,907,361,152,729,956,639,341,747,138,451,106,704,966,876,853,
284,592,124,372,424,738,240,507,431,155,991,359,096,901,286,223,186,314,747,
409,775,207,281,208,306,855,252,467,111,115,840,440,632,594,766,360,592,460,
178,346,206,642,324,513,270,975,277,761,822,984,779,666,753,717,346,679,179,
643,025,795,561,076,973,891,492,360,769,655,839,511,029,836,413,393,134,415,
327,787,937,513,614,254,401,357,269,557,411,054,018,222,618,649,721,447,019,
296,471,399,464,002,200,125,344,016,633,134,660,489,700,393,182,382,531,443,
685,504,980,710,396,802,898,173,238,081,621,198,735,713,659,175,678,240,094,
380,829,886,795,709,861,288,721,371,940,188,828,715,776,771,344,726,795,319,
201,822,722,677,287,411,705,763,445,537,343,782,153,306,087,302,202,101,214,
801,221,426,405,409,778,186,674,563,554,176,471,426,048,684,354,311,804,025,
391,770,067,785,863,919,210,863,750,225,704,601,980,777,359,551,214,394,069,
301,356,495,783,493,853,381,392,598,152,888,982,118,980,208,028,361,750,403,
168,973,564,726,727,986,643,381,812,305,062,100,976,534,133,181,245,699,215,
348,310,828,648,251,294,148,778,043,487,632,850,055,390,796,867,732,022,224,
639,103,469,226,547,787,595,931,965,262,798,292,694,697,744,813,813,627,624,
213,386,290,421,219,614,525,602,509,342,666,400,923,164,812,402,353,885,714,
194,049,000,860,659,025,240,900,456,221,376,460,934,014,882,589,488,918,274,
238,625,255,829,020,851,333,065,071,257,490,038,500,115,892,163,605,939,916,
583,081,494,391,965,529,853,651,135,042,812,180,940,495,775,222,125,612,683,
100,261,065,909,095,905,548,676,797,746,251,251,322,906,470,054,905,729,634,
833,420,839,826,796,503,070,613,698,765,751,428,965,546,151,262,364,441,812,
717,621,574,734,247,735,383,172,860,590,699,406,733,862,617,607,619,758,552,
078,396,435,307,705,365,899,857,262,382,496,485,230,078,260,151,480,192,153,
713,945,287,626,368,795,967,455,073,410,041,694,166,252,001,790,497,904,311,
420,538,889,087,047,444,815,710,478,408,129,012,281,059,234,173,740,284,020,
511,828,845,366,540,189,090,115,562,243,136,305,066,417,241,305,000,322,678,
270,187,744,423,556,047,061,679,206,957,344,788,465,224,784,843,832,707,107,
097,513,824,532,770,843,475,354,697,403,668,187,745,974,166,410,554,796,221,
026,133,640,730,309,636,042,944,250,627,041,536,901,843,430,222,139,042,392,
061,265,167,959,568,094,086,895,563,706,718,809,363,801,625,319,573,559,674,
248,071,052,363,582,981,501,989,867,580,680,357,414,500,384,092,810,656,039,
337,501,058,883,746,458,522,146,338,565,262,197,597,140,946,866,617,024,592,
861,191,136,182,320,001,306,145,698,721,703,862,137,002,175,176,209,303,648,
104,754,059,206,577,955,129,944,505,310,902,512,138,130,131,953,845,570,670,
812,837,863,266,179,035,152,741,188,501,072,864,847,248,309,072,392,878,685,
524,773,726,115,587,755,306,758,107,104,060,416,322,959,316,913,261,749,035,
852,351,375,478,593,209,551,341,679,631,086,109,740,110,379,635,813,517,612,
370,841,194,925,282,426,519,575,412,007,608,457,115,278,290,500,134,309,454,
218,727,007,603,603,236,366,631,664,654,137,373,169,416,443,022,667,773,664,
619,284,407,973,436,826,186,142,522,699,133,821,944,844,241,365,461,208,000,
162,783,791,784,124,919,503,588,585,659,796,531,595,210,616,903,419,246,488,
106,519,509,935,288,802,647,172,637,774,784,998,484,860,367,697,493,541,316,
042,175,502,607,918,735,590,558,752,403,477,301,254,936,037,820,673,308,847,
605,004,929,089,852,122,643,188,489,645,075,858,195,556,384,465,921,358,189,
573,259,396,141,128,715,606,747,604,288,168,598,315,619,866,772,685,846,527,
248,807,696,418,202,960,763,923,834,330,794,545,370,955,531,542,964,404,764,
468,367,241,302,448,152,742,806,070,347,098,604,619,447,753,601,830,643,205,
807,025,895,913,632,602,587,948,820,526,359,498,715,412,717,195,776,973,790,
093,937,005,008,968,924,302,547,590,373,402,804,399,703,730,107,951,172,378,
790,432,565,973,857,295,589,737,556,451,580,086,160,223,905,826,346,703,876,
761,573,501,607,542,841,392,688,538,912,575,371,855,694,326,642,294,813,434,
475,895,220,837,067,738,632,961,396,746,201,199,047,895,429,007,423,705,760,
588,802,279,256,855,623,385,952,866,432,718,539,855,545,071,973,560,616,341,
587,350,167,286,477,245,656,057,842,629,052,148,296,967,487,818,002,102,178,
868,583,415,024,391,610,168,594,026,470,142,478,177,904,965,219,436,445,263,
013,806,237,883,905,963,025,616,034,120,510,111,422,996,182,562,358,342,522,
263,782,520,036,459,700,093,948,703,192,477,848,338,666,431,102,858,018,234,
010,670,919,603,520,684,076,606,323,945,664,914,786,570,359,806,621,130,073,
393,138,444,320,553,644,710,955,710,918,661,352,992,942,501,602,770,970,102,
530,413,109,469,346,111,121,740,556,041,686,679,760,914,609,086,405,430,430,
226,850,257,060,986,777,790,275,737,061,259,028,797,026,712,155,967,610,771,
987,467,772,056,870,642,735,791,222,861,990,227,863,588,563,197,484,265,623,
809,208,227,085,270,142,479,754,601,560,678,349,273,870,426,375,519,334,775,
193,194,793,397,780,590,064,164,820,077,737,125,703,708,764,523,731,266,454,
975,849,176,038,263,136,021,932,895,871,691,061,428,731,658,172,700,276,672,
596,070,089,441,505,859,415,196,792,377,130,830,801,124,482,346,203,296,283,
943,950,321,243,056,806,470,584,391,954,620,353,382,966,209,654,510,416,883,
393,287,435,912,194,273,047,582,444,344,242,691,109,091,336,999,452,170,197,
467,482,364,672,903,314,243,661,917,015,720,169,784,674,431,197,315,376,067,
805,364,183,563,738,010,728,160,953,286,923,283,729,700,924,781,803,617,647,
964,496,626,498,757,563,434,623,267,249,170,045,597,921,540,677,891,576,229,
823,399,456,903,896,154,531,373,612,231,550,317,171,665,249,802,187,080,475,
741,178,183,540,085,997,804,574,562,601,547,734,395,930,757,998,049,795,542,
066,295,568,156,088,323,502,585,340,963,367,483,744,548,462,240,471,148,983,
500,198,771,134,662,596,741,478,161,627,882,224,126,620,052,654,905,362,771,
728,330,722,629,149,770,556,641,569,542,802,008,524,042,930,977,617,955,422,
176,082,774,254,030,295,893,014,572,669,375,656,284,031,130,755,738,779,186,
971,904,277,553,354,427,923,512,166,936,443,327,407,597,741,969,395,018,223,
649,723,775,839,759,008,962,793,094,386,933,980,310,346,206,017,855,165,777,
106,689,022,203,468,066,730,162,159,123,419,767,376,413,201,202,950,305,390,
207,444,837,768,831,127,722,204,401,677,656,371,742,893,997,322,575,714,570,
952,994,863,054,393,624,865,787,102,811,421,829,919,080,798,550,663,044,516,
587,266,001,138,677,666,557,922,508,497,739,446,713,253,490,748,636,332,583,
026,464,544,951,807,198,570,053,985,036,243,240,324,184,092,365,546,804,695,
153,468,038,334,495,722,936,993,286,722,246,822,401,223,994,804,605,622,446,
796,485,922,798,488,168,079,595,125,191,826,625,317,272,303,405,232,308,889,
535,849,036,120,319,721,818,771,253,692,795,190,866,365,802,731,290,182,002,
840,980,170,679,566,808,254,209,238,293,452,114,584,514,776,547,249,136,137,
141,053,386,718,308,859,880,943,298,122,489,782,350,310,713,811,560,275,868,
724,041,379,568,466,240,456,573,809,931,418,214,764,459,768,028,619,726,374,
394,499,749,753,684,920,031,245,303,822,724,552,211,009,427,151,065,664,894,
698,043,019,967,997,517,879,553,766,085,277,162,078,419,747,632,977,382,287,
269,393,155,816,332,543,122,152,413,925,013,719,402,207,495,869,445,654,405,
768,952,569,020,116,637,826,884,058,351,448,618,956,559,020,546,175,820,411,
406,831,119,495,481,652,148,800,752,682,694,948,014,925,278,950,796,214,843,
619,929,839,286,392,430,085,780,577,705,703,800,707,564,304,046,957,828,221,
233,627,065,385,156,902,749,835,468,973,488,824,042,011,710,841,350,206,835,
480,341,757,904,550,939,990,696,069,085,334,677,138,999,763,991,171,236,389,
244,880,134,796,081,267,849,402,063,044,713,916,739,664,259,191,706,451,298,
727,910,042,322,603,177,892,264,051,370,777,050,410,378,960,634,504,501,667,
342,768,979,765,864,137,834,230,595,930,630,004,111,468,320,246,949,697,289,
691,414,737,407,564,310,770,954,524,805,824,751,866,772,299,900,507,524,601,
370,176,954,421,754,423,397,390,639,809,298,239,920,308,683,199,290,620,981,
172,018,925,319,458,117,169,033,041,616,090,015,829,734,992,394,615,138,921,
598,310,610,781,904,829,204,781,175,763,390,832,829,915,046,048,500,332,014,
772,746,853,553,583,544,430,284,618,561,320,720,127,146,788,248,279,987,037,
673,078,984,700,646,335,253,415,405,630,888,064,596,447,936,147,862,166,258,
116,496,023,017,525,394,674,178,996,017,824,831,010,848,821,799,394,412,688,
485,580,370,007,955,772,099,422,685,321,943,082,918,492,017,090,852,645,617,
669,481,787,301,006,010,986,751,754,594,516,424,484,529,733,234,822,948,913,
429,275,245,274,850,691,676,348,101,231,816,434,273,714,641,683,533,182,010,
104,660,255,484,915,574,380,686,742,725,360,089,565,046,600,920,666,446,141,
907,888,844,361,908,571,964,770,740,081,934,458,363,406,197,127,312,827,249,
142,520,820,498,582,912,919,240,123,195,537,717,053,638,725,073,718,516,809,
521,398,851,091,214,829,859,088,621,254,759,245,794,787,899,176,252,419,345,
531,797,602,103,644,920,568,524,775,362,401,810,390,070,415,603,665,926,259,
854,680,655,738,971,218,102,427,804,645,873,165,210,414,861,757,670,995,398,
124,220,657,219,062,163,348,899,012,873,414,744,810,473,824,822,703,695,265,
292,443,699,477,014,487,203,196,523,678,210,129,286,105,761,301,082,369,105,
129,402,766,397,856,168,381,607,746,755,238,510,960,165,500,962,002,616,704,
336,008,189,670,281,844,882,660,774,954,781,351,698,553,079,817,041,046,679,
808,513,639,106,705,906,558,289,285,299,060,402,939,861,816,626,130,886,176,
483,605,659,976,696,794,832,531,507,011,825,492,372,582,776,709,973,928,769,
734,206,877,220,141,853,007,949,284,173,118,888,697,978,450,843,150,150,835,
647,752,847,938,841,671,136,190,652,565,008,888,569,923,602,608,218,997,630,
484,194,066,678,908,729,549,833,944,865,100,668,971,100,392,052,398,759,918,
604,436,249,704,914,063,127,131,997,831,039,676,163,100,940,298,218,826,374,
050,379,614,469,304,655,135,195,303,157,247,537,854,275,034,123,452,183,931,
483,976,058,022,911,370,616,629,769,808,316,126,675,269,993,971,809,144,209,
643,818,468,099,087,588,857,121,081,218,964,593,249,610,801,571,993,404,143,
327,793,730,148,470,544,091,481,542,715,444,316,700,495,923,255,111,602,374,
036,477,587,736,062,596,172,723,193,721,615,722,519,363,026,619,706,064,903,
657,633,394,190,924,117,342,473,033,897,954,174,420,112,312,529,679,711,836,
499,750,309,943,559,103,222,847,725,650,816,174,907,257,895,843,306,008,912,
719,563,853,395,600,522,473,157,014,836,785,404,665,248,288,920,298,886,115,
760,214,157,464,650,900,240,832,088,629,546,922,417,581,388,639,645,410,738,
794,373,620,641,907,873,004,729,160,067,343,993,663,259,478,771,482,248,583,
688,263,114,151,095,153,872,335,091,934,127,014,982,759,561,430,827,587,442,
785,382,722,862,471,923,952,693,146,629,877,362,434,032,640,412,999,604,875,
136,329,181,298,177,198,968,261,645,191,968,640,557,079,040,679,766,088,271,
036,899,900,342,323,558,228,450,637,709,820,448,718,649,576,627,292,699,626,
408,322,859,490,174,576,020,436,893,293,259,906,282,565,821,126,266,668,571,
467,686,582,820,181,292,020,942,997,596,109,198,655,898,828,714,791,460,298,
314,129,254,722,892,602,470,864,266,848,306,483,525,005,780,495,739,270,320,
125,317,359,499,387,212,554,818,243,284,725,094,985,199,291,174,127,161,531,
256,991,933,278,902,630,733,627,827,297,330,095,956,418,663,963,923,041,623,
382,771,507,386,618,328,385,892,690,494,020,391,125,199,203,590,203,011,830,
630,969,149,205,444,792,655,853,005,650,083,520,082,580,291,957,147,022,389,
932,038,927,329,019,099,809,739,292,162,040,438,829,206,579,498,489,884,512,
627,302,858,971,545,919,320,386,919,704,773,212,485,727,089,914,886,975,880,
340,784,322,989,770,163,793,342,365,223,146,669,612,439,266,664,006,430,270,
654,871,718,435,941,762,402,440,888,219,544,734,138,345,951,983,778,107,074,
924,892,852,903,580,414,794,946,558,392,103,093,300,645,716,946,954,714,879,
954,676,195,419,278,055,387,526,452,649,659,892,417,632,441,678,205,397,622,
305,975,322,552,908,293,130,032,618,774,367,901,722,244,588,447,545,988,784,
845,742,386,400,549,871,175,815,484,420,587,551,824,986,628,553,421,802,202,
663,751,569,706,366,143,925,270,621,979,957,294,224,284,016,422,958,154,789,
967,152,604,945,035,828,435,242,809,422,826,658,183,165,499,880,643,682,590,
501,410,518,816,509,529,052,526,473,119,184,262,818,277,041,487,706,395,459,
679,153,602,199,125,283,855,919,169,474,396,143,493,575,280,359,408,830,699,
642,532,647,560,564,103,036,775,475,518,585,234,032,598,017,345,359,183,106,
827,793,611,071,624,232,598,317,922,925,137,521,244,829,825,363,786,799,287,
989,251,432,482,930,240,549,695,633,631,331,186,234,131,105,757,143,784,187,
140,042,183,937,190,263,043,765,212,754,153,093,911,121,370,445,679,801,720,
666,271,724,839,957,291,992,142,835,146,286,820,594,328,404,247,005,546,988,
422,408,612,815,038,569,239,898,633,552,196,918,073,837,050,109,317,744,331,
162,974,160,502,006,432,415,068,542,551,950,943,462,326,999,839,309,587,213,
943,037,123,722,228,636,482,134,446,255,270,652,900,116,783,633,614,023,367,
678,541,513,355,238,481,601,884,093,466,823,888,430,589,648,726,542,821,370,
899,796,827,672,862,052,257,465,642,952,992,944,871,153,355,055,243,726,029,
022,659,548,987,697,531,718,207,906,994,003,329,355,723,123,660,359,628,205,
621,307,911,979,075,020,957,035,041,251,465,111,601,389,148,360,253,413,874,
020,408,270,260,838,266,208,427,470,796,601,601,151,764,119,753,039,491,142,
864,241,285,373,246,652,169,963,477,741,634,646,618,353,620,623,705,101,104,
268,715,270,292,707,248,266,260,825,655,431,106,398,818,199,281,313,031,130,
172,262,269,757,598,219,758,804,695,825,903,911,178,422,538,545,298,499,463,
130,563,563,725,744,945,156,029,018,083,056,456,888,249,836,575,321,804,095,
921,930,677,299,140,961,246,406,516,147,000,271,698,644,840,113,601,862,087,
474,318,639,110,250,738,268,231,006,625,306,088,865,426,153,577,482,724,839,
081,330,573,012,918,632,362,103,885,282,523,474,881,733,768,944,524,887,945,
848,404,716,495,614,763,669,912,498,987,667,872,815,989,408,470,588,836,259,
264,187,087,695,879,082,991,372,667,460,686,237,307,687,663,219,540,259,001,
751,279,958,355,390,141,326,718,303,200,429,464,984,839,805,149,226,270,713,
218,391,522,681,745,446,595,212,850,265,055,888,338,401,789,824,593,622,014,
038,325,413,137,335,582,359,411,900,625,360,316,257,499,326,062,215,757,751,
908,973,143,486,694,344,412,406,676,582,105,734,240,444,970,957,484,578,696,
972,242,414,986,214,206,156,061,422,139,662,392,233,731,533,326,685,326,011,
562,055,557,899,823,270,535,825,566,517,120,475,708,878,006,874,011,930,609,
307,851,413,213,999,360,338,956,112,687,944,857,149,281,212,563,021,268,536,
786,226,447,696,948,782,949,027,252,331,366,524,631,148,401,182,603,569,303,
590,471,138,202,879,130,377,226,533,868,829,428,490,475,421,778,021,953,643,
668,852,712,805,674,496,328,224,592,453,718,371,681,671,701,894,398,969,228,
878,193,166,372,590,925,515,281,801,730,759,672,057,641,556,898,724,042,264,
657,983,575,533,171,739,693,319,071,838,119,739,711,968,197,563,190,087,516,
354,762,023,022,263,436,324,823,775,496,934,883,788,336,133,850,177,936,430,
242,762,722,460,565,533,615,674,284,136,286,190,937,819,173,825,170,337,033,
196,265,453,893,648,070,822,277,441,660,136,778,883,421,256,866,342,167,979,
292,121,239,291,966,882,540,304,883,810,256,487,953,220,946,767,935,850,444,
200,475,005,411,379,239,283,873,493,691,603,602,282,738,959,848,822,142,435,
690,561,686,091,605,677,403,767,485,682,274,431,875,199,518,057,768,313,824,
883,422,372,475,646,533,862,629,165,074,868,803,072,051,190,025,130,644,453,
280,228,475,510,209,468,535,480,306,500,516,463,011,488,907,964,796,973,116,
494,195,478,903,276,648,602,569,577,709,842,421,677,884,806,469,615,998,654,
214,101,424,782,118,876,827,190,680,143,514,602,502,979,300,143,717,569,731,
098,637,254,504,019,155,350,458,836,636,903,797,389,450,293,606,491,444,347,
698,459,051,888,450,255,037,351,620,328,330,422,444,757,205,740,168,385,435,
885,541,249,218,509,464,355,927,819,255,004,958,020,108,113,909,089,500,183,
485,891,579,239,601,410,359,077,772,453,478,211,383,237,544,212,201,924,739,
000,577,124,275,638,441,366,229,781,341,686,832,588,033,864,584,051,601,943,
595,835,242,418,170,881,874,919,340,116,431,063,603,280,927,871,600,440,105,
791,531,583,869,095,759,606,659,933,293,198,256,161,230,516,927,097,140,816,
551,620,551,326,545,709,323,362,567,711,716,328,392,312,090,028,197,293,268,
632,784,639,138,915,296,574,084,321,363,788,728,300,692,910,686,548,536,841,
447,865,506,905,571,562,689,918,641,560,505,692,876,391,389,818,134,305,940,
645,541,815,348,277,859,051,097,134,535,249,242,244,960,867,435,020,427,675,
123,575,533,163,114,639,118,826,609,062,305,462,407,319,640,792,546,032,904,
933,076,183,821,982,958,938,246,982,182,682,374,318,122,113,637,850,128,807,
146,209,046,986,274,717,714,670,768,188,669,167,104,239,184,569,215,698,767,
728,240,157,456,612,838,702,022,528,866,019,193,901,536,446,258,350,694,185,
602,402,417,996,389,960,586,682,690,814,513,901,995,176,383,629,081,849,010,
994,843,923,056,038,730,289,773,660,557,272,016,497,653,665,828,268,631,129,
469,436,744,603,694,394,311,931,374,552,326,487,294,917,294,440,834,701,323,
092,706,814,920,122,744,227,970,932,318,896,848,760,443,848,101,434,444,594,
504,250,557,899,342,682,869,909,218,839,328,803,341,845,129,923,727,539,260,
954,342,412,600,070,648,305,014,746,455,315,095,039,167,512,597,877,467,919,
181,253,098,740,168,833,065,727,472,997,815,952,303,290,084,023,897,745,294,
667,372,377,954,103,868,541,373,790,997,946,354,592,721,083,093,401,290,547,
398,936,833,489,305,266,735,888,054,598,023,085,026,457,254,403,313,072,742,
634,617,413,561,386,578,377,366,441,997,701,413,768,734,476,199,991,767,155,
332,430,718,629,608,180,313,376,765,869,982,016,717,538,695,577,159,402,991,
718,850,445,718,554,222,049,099,970,148,625,270,935,647,045,609,841,899,389,
455,699,054,780,758,339,451,024,828,029,065,815,150,701,007,647,572,507,284,
199,699,316,466,384,825,220,770,756,827,546,801,036,663,851,730,822,074,537,
252,841,245,311,446,543,304,912,066,577,673,371,763,186,327,755,586,050,169,
135,770,468,256,052,617,496,054,988,161,309,473,635,632,710,022,128,495,947,
088,550,870,208,265,586,987,133,926,040,875,539,346,459,612,825,616,704,422,
003,219,112,461,259,080,151,333,699,074,538,459,550,362,086,580,958,115,638,
293,401,230,119,931,852,396,285,624,756,311,987,795,580,961,069,078,958,340,
138,622,374,978,437,272,465,483,259,652,435,756,448,784,880,390,038,802,791,
933,551,311,624,543,955,934,730,389,318,506,530,538,697,056,829,223,087,352,
339,607,700,322,995,729,700,487,451,001,535,263,351,869,865,304,037,132,674,
771,658,288,841,073,681,609,249,581,355,999,701,159,004,993,084,848,032,747,
350,630,356,232,971,308,052,560,130,894,793,486,764,818,576,975,259,076,168,
463,821,164,199,942,776,326,138,880,549,071,415,987,663,831,915,016,541,188,
102,591,405,530,542,079,697,022,111,419,817,031,591,068,224,745,632,255,725,
228,370,119,476,544,328,189,051,919,332,526,164,168,416,857,926,601,951,267,
149,597,753,768,286,780,178,961,325,845,731,742,247,460,586,159,242,820,334,
570,324,017,072,861,437,601,689,751,426,168,110,030,838,196,613,258,171,410,
599,380,139,784,839,792,791,544,633,522,007,059,452,445,115,740,531,634,365,
228,428,702,237,187,968,782,447,350,880,170,547,130,638,900,209,254,670,419,
796,799,221,474,937,686,304,187,448,542,120,625,946,110,797,974,214,848,383,
396,858,009,507,954,207,113,498,681,145,551,580,618,423,682,481,037,636,505,
208,806,481,338,138,594,679,780,989,483,546,565,109,228,829,854,101,704,187,
020,956,792,259,238,007,396,411,465,726,493,920,028,766,877,250,115,232,955,
394,983,146,762,854,747,958,353,149,081,043,784,508,608,521,055,866,384,017,
118,000,246,589,962,796,920,280,695,191,214,505,467,174,275,679,574,252,075,
135,264,973,084,367,529,039,420,893,391,291,269,503,540,370,371,453,016,058,
221,306,297,661,750,823,700,804,097,330,100,430,183,217,808,754,927,078,994,
465,988,431,185,195,754,707,065,590,989,821,696,387,710,358,954,803,751,829,
677,403,528,439,241,273,396,764,744,385,813,663,942,783,149,567,451,820,269,
294,891,455,200,443,536,020,915,792,892,763,793,413,667,123,216,884,334,845,
694,603,211,564,410,544,622,254,040,174,963,272,633,026,131,324,196,650,900,
058,697,120,356,635,083,632,236,655,205,423,203,160,310,774,129,062,027,127,
534,886,854,573,663,406,580,079,601,001,294,958,139,717,860,120,466,342,963,
163,501,915,697,963,848,227,967,087,454,757,176,043,778,079,374,457,828,373,
906,446,943,132,516,321,813,458,555,257,363,176,675,090,487,391,318,919,590,
263,619,360,957,922,145,324,045,853,854,517,087,812,487,344,251,471,588,644,
577,650,171,304,790,322,299,005,602,115,999,973,840,519,132,371,505,592,603,
623,705,278,818,719,395,679,703,519,298,517,761,070,085,972,083,029,627,915,
512,918,720,298,833,994,447,394,159,591,060,692,038,509,598,337,715,771,066,
296,515,465,949,662,956,940,635,222,087,575,070,896,505,186,787,776,437,794,
472,600,639,857,066,338,688,034,736,889,237,756,257,052,998,912,567,954,659,
578,306,120,513,380,384,930,651,482,310,259,579,246,965,703,793,825,619,491,
066,054,471,658,021,562,032,712,012,573,580,975,235,589,148,366,979,410,134,
427,841,071,404,284,528,633,575,776,441,557,376,847,949,436,273,313,111,474,
875,378,858,213,393,335,938,555,129,984,640,423,260,143,644,160,045,344,192,
396,798,624,088,658,871,606,634,283,669,239,329,928,709,908,726,666,228,992,
324,667,493,057,847,396,292,122,242,171,076,931,640,689,638,998,809,734,775,
014,065,498,603,041,746,571,154,880,991,626,000,401,592,075,321,509,276,172,
837,481,677,435,423,384,525,594,122,714,935,655,468,680,284,270,650,291,447,
779,255,000,493,722,040,483,297,977,575,115,509,357,951,614,829,186,562,669,
093,044,497,079,735,806,138,338,444,606,316,179,209,650,102,253,432,323,333,
672,775,326,622,975,595,890,690,602,065,752,305,138,057,311,194,488,621,880,
031,877,890,238,821,819,463,385,425,726,598,958,656,869,946,144,142,177,209,
023,657,291,198,879,680,480,286,442,851,949,060,210,105,549,774,080,975,521,
446,362,036,837,342,138,748,140,799,336,537,617,084,408,131,236,905,497,046,
493,965,455,836,420,709,828,809,820,194,689,462,103,175,423,551,798,121,229,
351,188,041,836,575,223,212,176,510,585,894,756,008,865,313,840,339,874,365,
658,743,036,689,506,360,925,940,411,046,686,648,126,869,671,498,047,203,055,
010,480,247,872,258,543,756,760,501,289,467,718,879,884,781,928,733,364,424,
646,737,236,327,585,428,886,680,776,906,173,202,984,421,108,197,218,325,493,
851,814,101,245,115,277,322,993,094,151,629,200,367,063,595,061,642,682,183,
067,770,307,212,683,140,059,546,711,599,734,731,533,536,087,639,048,405,409,
502,882,561,148,320,381,883,021,809,791,036,416,720,267,963,996,787,749,002,
954,142,655,754,706,975,053,199,251,084,022,348,850,227,093,359,581,626,802,
936,014,545,392,376,077,479,394,771,359,532,630,478,234,601,993,293,564,322,
622,444,396,562,348,510,778,419,138,673,428,381,032,414,620,890,491,470,018,
581,412,534,396,472,107,417,606,246,454,754,383,806,213,755,240,323,444,836,
862,304,214,552,289,138,058,531,544,147,917,026,568,106,901,034,811,358,652,
015,618,167,409,471,563,415,794,960,399,296,163,348,919,626,478,662,890,932,
142,211,381,836,964,694,901,917,704,960,055,029,154,768,587,444,741,297,069,
897,332,741,448,773,966,985,790,024,359,944,809,234,210,391,575,690,926,133,
736,215,189,207,436,817,131,853,417,930,323,411,587,495,820,915,466,282,934,
963,511,889,419,844,214,312,600,898,595,587,839,825,667,861,171,565,646,121,
542,203,136,847,669,722,399,489,082,342,333,011,178,294,656,116,604,672,793,
653,966,062,436,447,332,510,156,095,203,394,473,301,317,931,549,171,548,683,
072,685,639,337,922,053,234,481,946,432,829,704,087,947,796,222,916,034,647,
941,305,045,850,604,246,596,098,351,443,881,723,139,262,458,586,639,132,309,
637,800,863,349,756,508,788,935,431,677,720,369,123,104,420,161,155,042,528,
460,901,733,253,537,554,140,338,353,420,158,018,442,098,334,491,808,241,583,
628,005,994,500,914,710,379,984,473,185,983,273,848,648,861,051,236,633,650,
392,818,959,122,481,120,641,473,000,470,398,771,942,882,673,391,108,235,206,
804,806,137,947,911,899,534,310,385,228,516,585,734,979,512,240,025,568,968,
929,464,686,765,814,623,327,403,721,111,099,836,744,511,327,869,704,378,811,
694,450,262,134,865,010,413,821,284,042,487,619,146,533,902,181,224,354,065,
741,115,455,260,213,444,013,940,506,970,126,261,389,701,423,885,198,765,170,
732,527,805,912,113,359,575,075,391,654,319,396,427,580,191,789,889,587,927,
046,259,505,064,937,987,881,087,340,042,304,956,634,995,659,621,840,557,325,
457,372,645,306,111,795,114,488,070,631,788,199,559,565,214,323,096,242,544,
597,269,017,028,886,172,451,271,894,743,630,423,414,612,923,980,365,677,033,
505,434,830,760,385,903,734,849,726,199,446,035,762,780,863,910,997,483,386,
738,290,821,377,462,613,222,706,064,739,472,757,944,449,890,777,223,130,448,
429,890,493,445,845,963,485,036,410,948,559,021,288,842,302,295,535,264,928,
489,827,667,680,644,168,073,839,758,597,966,160,178,555,889,081,739,693,773,
807,591,930,115,068,561,314,731,472,201,457,242,468,638,701,636,435,072,029,
928,142,341,042,302,878,455,224,674,178,043,699,110,161,239,588,407,968,676,
510,052,686,460,104,559,258,937,462,368,394,210,626,092,617,171,618,219,034,
242,962,327,326,175,563,236,285,419,356,549,765,268,211,297,039,346,545,671,
371,653,419,294,929,758,954,253,489,547,510,112,131,229,068,161,337,909,306,
004,746,019,049,206,609,230,827,890,983,231,208,716,481,307,397,865,537,378,
623,195,389,228,643,923,493,370,475,836,778,373,537,356,868,447,080,896,761,
893,983,035,241,323,015,441,478,268,390,110,513,353,800,858,029,609,407,378,
481,732,031,983,598,290,474,158,059,601,723,057,506,079,225,971,824,301,244,
472,878,475,305,643,872,853,301,321,962,916,045,961,953,304,013,464,415,548,
556,079,574,918,283,809,027,260,130,643,643,094,786,936,689,020,432,004,802,
827,665,613,841,576,612,449,049,927,103,878,537,660,072,405,614,665,495,302,
481,136,407,370,978,301,273,416,130,691,450,090,377,276,726,686,235,408,304,
164,986,712,940,124,283,660,069,134,900,056,448,924,681,315,314,976,836,540,
655,531,466,914,198,999,370,822,658,333,686,427,691,139,281,011,417,358,503,
315,340,230,773,428,433,115,836,224,969,475,578,192,733,946,358,779,469,379,
098,318,267,529,389,662,928,151,593,186,180,133,962,900,605,169,795,378,832,
797,796,290,481,069,845,376,755,812,337,745,688,813,895,911,825,024,942,416,
139,214,908,789,573,675,129,773,497,763,288,006,891,700,372,524,760,626,020,
508,330,444,822,072,940,693,850,048,422,405,727,662,984,788,284,213,386,888,
301,064,673,924,603,671,007,362,407,156,686,137,578,802,942,922,782,565,988,
909,682,971,205,672,512,773,007,372,603,687,377,832,089,511,303,654,837,700,
612,746,732,955,545,349,115,282,035,319,197,883,294,080,291,405,301,835,467,
507,966,964,818,623,181,442,921,843,521,849,942,269,225,671,729,899,843,600,
412,394,899,537,021,523,943,577,298,894,145,535,801,570,494,557,937,330,237,
313,113,345,789,249,787,016,508,254,028,972,106,053,367,108,886,005,114,790,
705,417,763,272,007,659,563,115,330,685,540,647,086,007,845,509,580,642,884,
439,331,812,135,413,862,035,121,947,666,153,048,609,194,385,417,995,759,913,
413,479,307,806,876,554,986,538,155,460,250,578,715,657,194,209,809,204,763,
137,304,213,862,752,818,348,110,081,664,315,253,597,339,099,403,372,486,057,
180,335,916,599,343,175,906,735,234,445,615,925,342,801,690,985,186,953,772,
543,995,226,484,580,085,484,836,670,717,659,452,605,974,382,278,683,511,576,
929,397,876,588,017,669,407,683,032,049,580,148,487,171,510,609,200,301,048,
362,562,643,743,555,784,098,270,193,648,410,905,002,611,902,821,950,222,001,
914,933,435,632,333,489,421,647,415,196,283,920,067,297,840,550,262,210,549,
795,309,052,976,458,332,185,419,168,697,265,660,679,174,100,874,409,406,181,
219,808,551,660,953,840,277,338,517,025,032,968,132,062,726,532,413,739,686,
039,132,173,297,268,692,177,521,163,143,987,841,726,388,947,350,151,731,013,
733,745,166,076,371,322,991,414,579,158,947,595,817,148,952,602,950,834,317,
903,431,345,170,837,952,324,901,415,596,259,276,305,018,140,988,324,898,549,
193,689,074,193,986,380,360,680,240,893,792,720,109,275,924,351,681,413,042,
308,160,822,569,283,839,039,701,050,360,103,126,687,829,477,280,932,421,374,
593,453,616,328,976,976,909,497,805,727,936,444,607,339,532,205,851,682,541,
105,788,975,025,540,217,771,142,895,493,611,020,331,285,722,332,510,877,623,
777,576,581,723,854,433,409,631,158,799,741,796,909,819,188,138,143,682,153,
046,539,671,487,078,355,241,791,594,256,485,619,398,829,602,720,908,273,178,
474,165,823,025,762,790,942,673,383,970,456,288,756,209,904,442,577,403,807,
828,765,294,840,844,361,488,138,173,700,249,363,998,169,434,870,365,033,935,
222,905,696,729,734,440,778,124,640,642,817,058,372,904,770,119,153,970,976,
338,422,190,694,951,989,776,507,585,388,648,043,358,577,418,516,281,094,303,
268,470,446,012,950,934,475,478,704,113,400,675,238,201,279,037,626,760,998,
787,878,457,894,317,921,868,625,616,438,069,409,889,072,312,485,587,083,129,
948,388,629,242,480,147,777,266,838,973,892,097,743,368,033,319,509,961,650,
230,006,852,411,767,170,850,389,899,472,432,282,292,493,945,815,998,337,073,
816,476,747,811,935,578,815,857,650,581,280,989,904,920,295,774,014,500,098,
104,620,884,220,072,225,527,049,892,300,899,372,740,744,803,141,099,540,782,
791,167,670,123,994,711,881,046,072,315,469,134,603,387,198,039,651,700,581,
813,656,404,730,476,615,998,592,410,998,633,243,565,560,050,651,941,384,917,
873,657,287,868,134,472,364,784,645,438,148,557,637,162,790,226,752,897,635,
666,106,461,053,437,984,804,325,557,136,900,735,870,383,380,847,003,474,537,
450,027,902,207,799,742,197,242,571,984,249,859,069,180,720,371,305,261,629,
106,986,640,770,328,343,049,105,642,752,517,978,008,129,542,366,304,480,992,
500,864,754,007,876,138,380,609,879,209,385,226,756,905,826,109,737,445,090,
639,188,130,965,611,274,862,574,331,455,061,474,244,763,403,667,338,274,517,
289,504,046,315,791,213,685,747,437,076,332,684,719,933,254,902,584,768,119,
001,752,016,921,547,070,947,458,104,519,403,514,345,909,538,806,386,917,885,
208,225,328,594,537,032,912,475,024,103,079,854,392,290,864,985,197,173,763,
823,473,162,226,523,432,617,742,195,831,390,526,020,705,905,914,207,588,930,
732,735,192,753,720,101,402,034,770,207,539,950,212,305,850,425,178,092,105,
326,806,561,255,398,186,275,842,025,206,625,108,334,538,761,632,362,927,781,
438,377,984,028,883,332,628,444,105,316,226,469,898,014,638,346,546,289,204,
746,659,979,050,487,684,419,113,628,546,998,176,799,292,784,459,461,003,031,
941,401,945,072,701,796,107,072,679,102,211,204,282,242,185,210,674,099,242,
024,785,817,047,771,306,104,997,597,602,060,321,994,492,763,295,408,412,329,
395,330,926,623,067,302,473,637,834,411,118,774,281,217,021,492,997,149,803,
812,204,058,885,703,552,104,814,504,254,919,981,490,855,580,263,114,047,992,
955,878,882,628,344,614,538,289,521,161,531,617,732,787,079,389,965,800,437,
126,693,407,842,149,020,097,452,201,422,470,169,941,889,854,226,314,352,977,
851,975,827,597,751,191,114,795,772,262,031,256,777,199,299,497,427,711,260,
669,144,633,334,464,144,270,721,475,304,914,312,615,049,949,832,817,581,808,
049,377,415,192,127,622,849,354,375,996,149,887,694,416,762,165,828,342,280,
033,005,260,396,880,312,010,500,084,718,425,924,220,537,959,598,384,626,172,
534,176,162,672,334,969,876,767,379,155,081,460,746,286,910,312,344,312,531,
315,298,152,646,769,030,740,236,877,554,444,684,135,263,788,390,857,396,155,
242,618,042,976,710,224,569,663,248,298,508,083,676,058,851,097,613,171,809,
488,578,034,472,778,858,234,583,855,013,392,525,116,232,593,568,512,977,155,
850,914,416,172,255,858,534,228,633,930,813,929,758,996,126,404,395,160,704,
044,388,422,352,764,861,044,739,265,939,762,789,804,512,251,153,790,375,403,
766,169,657,228,666,775,629,469,869,333,885,145,455,021,488,468,399,053,991,
284,397,887,764,769,532,929,558,694,791,488,173,397,410,463,750,720,631,490,
569,246,786,199,627,696,601,545,921,100,276,196,094,608,448,971,677,326,935,
588,596,977,187,083,109,121,383,699,489,078,597,947,221,528,509,786,052,911,
099,254,037,723,697,559,302,803,025,711,614,950,312,529,273,895,502,772,406,
992,829,215,647,963,890,270,190,531,055,735,362,369,923,574,864,867,459,551,
916,764,421,407,087,184,195,143,809,059,688,140,724,535,501,358,266,870,868,
520,560,490,481,048,172,927,349,183,507,635,651,521,458,555,306,691,796,976,
813,470,868,235,946,875,177,020,331,772,410,394,136,828,596,035,682,334,882,
486,963,204,296,009,104,892,734,990,843,877,327,827,478,537,723,894,223,651,
685,783,240,578,845,075,749,853,974,545,230,710,012,790,759,350,390,989,624,
418,454,159,804,058,295,629,965,019,696,713,234,125,823,106,369,185,505,228,
451,811,751,775,634,016,552,317,426,968,331,438,974,832,692,379,363,538,429,
355,293,807,712,744,790,433,813,063,012,548,910,100,182,705,883,510,951,313,
061,341,975,650,271,343,663,209,394,332,152,878,170,614,952,010,379,114,946,
436,812,228,647,882,362,688,994,782,040,920,579,419,736,579,453,963,510,169,
496,905,097,014,695,445,798,081,691,321,414,957,580,039,995,220,348,434,677,
880,485,904,811,626,070,859,846,915,168,305,304,488,747,646,920,877,475,636,
182,207,409,457,295,363,773,326,660,199,685,422,172,592,439,211,228,329,790,
450,635,770,360,646,404,667,637,127,642,510,660,151,871,397,799,574,352,099,
020,451,451,976,117,997,208,436,632,556,489,241,692,783,922,704,140,659,605,
518,234,972,340,658,943,718,014,620,816,004,918,054,898,556,484,424,731,020,
967,387,983,971,872,896,054,017,223,995,672,400,497,434,350,036,809,495,173,
600,637,927,688,098,373,465,160,169,447,088,839,029,788,812,734,624,300,609,
689,841,530,671,842,966,756,017,219,313,264,281,457,526,019,582,332,999,055,
234,097,707,853,851,300,922,145,755,303,332,616,018,657,948,567,226,513,404,
684,953,376,927,431,384,238,053,433,023,855,107,077,593,436,097,697,442,865,
639,380,231,011,871,618,553,651,657,281,851,380,854,063,553,621,509,684,034,
112,723,540,240,496,312,978,116,937,792,976,955,672,554,275,890,572,028,586,
929,969,910,964,472,391,863,172,517,682,057,574,040,969,208,293,464,382,943,
997,189,623,463,810,782,127,837,877,366,754,064,952,157,797,571,636,418,825,
497,409,372,546,940,604,183,203,448,227,873,746,510,464,829,342,349,675,044,
594,132,626,472,521,334,886,110,448,514,658,254,285,775,237,462,378,308,758,
466,078,603,029,191,645,064,804,715,841,432,209,142,155,420,537,653,838,348,
460,033,115,833,627,684,480,305,538,176,275,951,082,416,830,172,911,691,964,
406,831,989,554,151,437,461,633,821,491,636,150,793,927,720,786,316,521,426,
919,195,835,714,379,861,479,117,603,276,625,985,193,225,212,987,946,432,205,
108,159,392,808,898,875,960,396,775,148,764,290,476,073,563,692,228,434,659,
588,854,046,345,371,522,312,927,279,559,594,483,561,045,872,198,229,069,336,
842,574,084,037,375,594,974,204,418,908,702,376,573,733,824,302,209,913,520,
163,847,893,046,745,819,371,004,277,713,579,383,372,829,102,496,920,328,706,
641,838,599,556,780,439,842,552,566,603,513,232,384,179,550,049,392,351,524,
212,191,510,421,338,902,009,167,680,125,707,454,605,980,657,558,077,606,623,
539,355,711,820,088,245,433,217,388,231,447,991,472,512,398,649,166,665,747,
255,916,827,354,988,171,291,076,388,414,059,279,269,750,869,979,205,373,770,
447,329,361,748,449,315,505,851,306,259,742,956,447,311,614,734,289,891,363,
152,290,177,624,994,490,767,327,273,722,976,580,253,982,660,752,733,026,887,
177,315,773,243,370,633,348,279,663,575,301,199,286,825,267,882,392,879,043,
811,651,475,117,815,935,808,234,012,797,535,993,366,529,596,836,488,593,304,
655,695,643,836,221,664,597,385,321,664,034,531,796,668,792,425,002,690,618,
421,702,866,536,719,791,306,959,759,633,318,829,985,670,050,940,503,018,651,
206,323,196,513,383,921,868,642,822,302,292,000,046,571,095,787,004,878,274,
395,097,526,857,025,666,249,748,433,985,696,134,738,682,542,733,759,337,550,
491,865,997,191,466,316,564,388,162,660,107,276,087,274,544,360,060,352,197,
553,130,054,339,752,699,622,721,802,353,395,217,382,402,140,107,294,462,882,
915,700,183,085,313,190,454,853,230,513,971,557,714,637,503,419,983,191,640,
410,109,611,423,674,645,129,284,118,657,816,830,124,268,040,259,111,626,916,
077,916,847,822,969,491,753,816,123,555,074,993,745,825,864,117,989,009,418,
281,073,023,921,191,328,899,870,910,126,918,747,070,747,576,736,012,423,846,
140,999,467,287,662,418,215,078,192,225,330,758,450,038,978,824,687,073,196,
746,082,844,136,573,345,406,883,806,792,195,118,733,714,538,672,276,428,209,
061,062,874,195,196,193,254,654,991,716,295,787,047,882,178,961,601,544,415,
804,826,690,734,474,312,621,204,369,517,370,045,333,345,444,077,227,411,559,
770,433,613,050,505,305,796,876,898,047,265,265,034,237,329,560,556,158,843,
465,500,152,657,102,455,538,310,683,576,561,773,973,247,004,795,642,009,604,
926,786,806,102,312,633,915,764,953,212,102,632,867,023,466,561,434,707,861,
175,327,537,617,826,825,669,108,241,022,042,026,526,059,258,193,481,806,798,
516,226,884,346,104,466,676,837,547,143,715,270,385,138,099,841,656,735,312,
663,844,992,490,110,823,680,659,828,339,835,747,922,339,400,573,275,825,179,
234,082,002,948,558,799,043,550,879,276,573,422,276,422,600,717,587,300,224,
130,443,865,941,898,333,285,874,465,025,143,647,207,494,501,799,702,195,481,
121,697,743,199,360,978,475,679,028,676,477,593,435,026,483,660,567,021,449,
253,149,175,900,496,239,796,105,768,517,787,653,365,293,359,311,835,522,989,
994,210,170,209,010,074,466,105,713,250,473,830,475,352,636,760,739,262,915,
078,030,833,745,898,588,609,937,178,085,397,268,850,447,484,646,585,514,962,
584,265,139,787,097,636,954,582,832,262,507,894,840,206,774,823,257,696,808,
663,168,777,864,030,680,887,334,654,499,568,902,423,726,800,446,091,121,063,
348,363,487,079,333,837,239,889,088,509,657,359,877,509,438,712,568,662,973,
077,332,196,961,767,178,112,642,102,482,899,630,232,467,247,731,418,751,358,
781,221,208,336,035,006,648,164,102,546,773,398,860,773,681,276,889,628,083,
392,778,201,577,677,737,242,751,196,918,402,306,489,786,765,134,807,697,128,
459,658,452,479,061,052,468,078,807,544,227,947,450,642,780,121,463,919,210,
617,219,395,737,778,153,833,090,877,169,811,007,823,259,274,811,225,023,535,
236,831,676,170,070,201,184,231,363,264,721,868,282,347,208,214,509,340,076,
062,884,094,732,801,725,004,307,009,651,374,842,647,521,997,658,479,644,323,
262,371,549,581,141,868,559,441,295,854,631,185,014,063,463,896,782,116,347,
362,663,114,551,345,679,225,097,052,631,428,357,802,816,118,246,267,549,682,
059,095,488,692,276,963,832,181,879,128,297,835,816,604,184,211,386,270,765,
157,868,027,692,404,868,830,510,566,738,169,709,874,797,966,995,454,750,794,
881,218,354,795,207,615,575,686,588,179,694,106,014,753,173,667,843,011,537,
589,592,839,396,339,547,731,101,368,414,104,069,780,894,861,235,981,247,434,
417,541,883,048,065,547,803,559,756,577,013,005,624,989,608,971,597,905,529,
058,096,957,211,818,055,765,476,267,309,927,940,695,231,468,180,257,925,795,
194,481,674,121,546,004,523,540,646,057,520,963,203,013,800,872,887,257,493,
467,292,156,928,768,752,649,395,665,953,510,310,072,505,615,170,652,048,971,
785,384,645,662,140,470,507,350,674,543,317,290,500,048,859,672,950,654,406,
587,325,851,489,136,541,026,083,433,572,954,070,022,659,161,652,066,720,463,
637,117,557,632,799,730,412,789,832,266,609,566,279,929,658,578,694,566,197,
091,977,999,227,166,661,952,144,446,416,338,974,196,053,334,278,378,635,000,
472,857,341,901,652,517,861,190,684,773,057,952,624,072,624,919,911,280,971,
171,989,132,688,731,372,350,959,748,989,627,391,706,161,920,620,026,338,053,
287,387,914,053,772,311,097,783,559,066,514,627,610,720,744,801,225,922,813,
477,533,036,191,660,187,468,410,088,654,784,511,842,722,914,157,624,584,469,
418,514,091,927,107,192,744,114,584,088,459,511,258,250,675,475,836,992,139,
250,664,216,975,200,122,208,728,932,342,395,330,604,019,258,183,536,088,156,
387,163,674,316,478,706,346,799,605,197,413,659,566,492,782,851,684,599,373,
420,853,830,739,900,258,260,800,761,780,853,735,013,373,844,618,991,388,325,
172,657,794,789,646,492,517,389,898,704,554,541,570,290,228,160,520,256,048,
971,693,306,627,893,087,241,148,989,072,939,862,901,260,780,723,943,306,297,
888,056,816,123,601,046,369,363,143,627,768,012,218,673,339,906,717,553,292,
932,254,821,339,869,599,562,363,994,941,677,784,792,973,107,240,773,667,986,
771,224,235,173,684,566,828,429,183,604,153,408,917,378,176,261,597,430,600,
334,190,003,446,562,509,088,601,513,290,893,756,614,040,485,422,613,968,359,
477,217,104,724,734,915,169,282,557,615,040,141,998,943,668,957,379,002,906,
781,722,172,186,633,148,130,954,450,051,895,753,175,948,897,548,700,958,568,
097,266,210,346,058,903,578,005,263,485,073,467,376,429,683,588,971,399,613,
943,393,798,500,103,281,932,846,819,714,066,435,208,439,454,746,986,319,781,
569,310,151,582,019,043,893,913,356,725,206,793,458,195,781,299,473,851,130,
267,689,358,288,561,496,002,299,659,687,425,419,325,706,650,476,063,155,682,
743,811,653,573,793,182,487,028,063,530,512,446,589,031,816,123,938,503,270,
786,042,037,128,384,678,443,291,573,586,448,362,536,751,759,009,550,237,282,
362,563,648,530,839,530,623,234,586,405,126,477,914,025,493,871,736,676,080,
106,791,316,902,444,615,765,264,810,798,173,792,803,879,649,222,791,533,218,
929,912,935,168,117,176,275,117,595,885,552,469,394,480,230,241,639,639,982,
149,170,569,270,620,314,777,243,951,388,961,484,769,588,567,454,508,266,633,
331,108,616,233,788,043,687,511,179,405,437,247,588,914,161,760,022,924,830,
541,401,460,939,978,829,116,320,767,530,675,956,414,928,670,070,153,949,617,
376,558,584,635,673,441,448,721,353,038,203,274,702,487,512,165,231,888,158,
784,979,839,134,864,650,696,704,303,803,438,498,917,814,845,757,788,627,101,
782,381,116,398,707,907,577,865,084,770,269,184,930,765,444,538,769,960,297,
981,683,906,851,339,063,689,916,629,073,572,836,263,017,798,287,621,755,277,
217,097,207,510,764,349,814,640,592,673,838,224,279,061,972,671,496,523,092,
295,774,423,262,451,221,388,295,521,740,657,135,331,762,176,732,733,852,146,
394,418,236,125,251,336,113,576,974,469,560,752,642,562,355,246,273,198,972,
230,375,242,586,095,237,019,698,359,964,498,161,089,732,675,441,055,240,819,
222,863,784,942,329,128,664,288,033,318,495,780,952,632,269,936,566,455,132,
107,217,858,549,299,333,478,290,148,048,599,355,246,137,583,746,238,531,112,
718,347,640,519,510,572,760,833,175,519,270,030,606,473,443,184,998,011,267,
092,583,551,567,155,007,792,559,610,484,252,764,310,213,657,466,723,462,915,
381,710,007,293,339,456,624,384,836,794,051,227,066,740,378,902,371,651,163,
668,650,545,079,120,083,010,768,295,192,932,375,979,624,530,967,959,036,566,
772,307,894,699,440,553,176,338,670,592,523,709,054,739,657,434,741,629,118,
681,677,434,861,282,307,205,716,928,624,058,270,400,054,703,835,655,120,441,
369,800,916,548,137,438,437,076,497,316,767,025,270,185,104,752,320,157,701,
300,572,631,684,259,151,710,761,476,802,066,478,741,182,375,923,686,875,618,
708,225,114,628,672,096,090,283,468,981,359,232,990,346,902,699,660,594,184,
131,711,307,140,766,719,573,253,980,024,608,970,146,256,562,957,360,458,580,
197,053,412,906,076,279,036,737,340,286,128,889,355,364,039,879,453,949,768,
055,052,629,060,876,686,766,204,335,262,227,204,714,512,338,046,131,322,706,
619,094,085,811,533,189,247,032,022,806,590,485,780,142,424,042,387,198,842,
050,362,129,973,153,480,979,386,403,548,702,222,427,246,724,958,603,229,007,
349,536,799,184,415,155,590,755,312,463,835,043,234,518,630,681,539,112,500,
432,004,792,933,426,362,813,089,773,875,560,132,411,449,522,027,992,655,858,
898,714,830,071,831,376,296,473,490,592,753,955,213,923,517,329,512,926,684,
998,979,640,572,521,399,625,319,239,417,995,291,994,999,845,953,617,859,689,
430,535,908,564,776,521,932,450,531,636,762,539,993,274,149,728,873,363,389,
783,847,633,141,571,897,435,507,682,043,371,502,840,941,318,756,683,289,579,
584,231,089,929,220,551,535,713,906,592,068,121,056,756,945,898,690,196,410,
169,698,732,923,762,860,325,200,942,366,291,546,830,372,828,354,319,860,645,
443,051,795,634,163,173,020,291,038,325,584,747,247,180,126,181,912,220,147,
639,460,842,972,929,987,582,904,139,528,986,480,009,601,888,842,603,554,871,
622,446,610,112,048,123,859,595,798,323,209,572,653,835,523,576,162,767,610,
669,345,670,260,434,014,293,350,555,691,224,103,313,292,105,299,686,282,066,
417,516,827,660,811,062,992,807,959,376,811,951,693,429,180,634,280,760,787,
901,838,744,731,380,319,086,413,082,859,451,254,095,131,250,819,916,064,337,
463,448,032,102,385,110,237,886,948,957,278,580,766,783,285,872,618,850,061,
371,274,267,605,723,204,087,563,490,112,805,895,218,173,615,162,681,314,112,
021,788,250,164,119,306,594,236,479,465,406,392,646,117,993,526,324,597,071,
513,390,264,330,978,046,475,259,991,832,567,318,084,812,593,783,274,445,114,
261,047,329,403,278,640,713,137,540,288,712,150,747,034,091,688,342,423,282,
143,198,717,599,972,322,136,831,208,685,573,581,157,680,484,244,972,921,636,
901,650,848,685,674,772,939,054,526,845,296,024,908,196,778,477,144,620,197,
633,354,849,054,558,173,129,036,018,407,718,315,423,173,818,732,717,695,963,
032,020,259,608,140,313,671,131,267,375,824,730,953,205,714,223,673,362,106,
113,595,660,993,660,586,143,172,035,548,189,773,723,512,785,977,218,661,167,
698,036,639,948,311,035,323,781,919,423,470,644,332,716,411,378,895,072,668,
869,457,913,177,509,505,817,120,583,373,750,290,753,780,550,670,763,148,355,
976,423,581,206,503,706,225,385,389,301,722,210,740,828,271,574,392,316,458,
490,866,843,833,531,799,644,418,661,637,765,652,001,939,815,676,849,291,382,
259,424,408,215,371,709,273,635,388,165,625,515,784,851,258,723,187,359,745,
736,104,303,742,927,192,596,706,096,749,335,260,898,088,768,599,904,119,536,
739,174,510,263,097,413,007,584,758,579,790,860,081,186,531,224,818,742,452,
315,388,479,097,145,422,688,744,400,539,601,889,042,165,363,352,363,374,768,
579,919,748,077,438,995,212,875,275,131,748,540,979,917,823,211,098,663,711,
243,675,454,881,240,023,683,790,976,048,470,315,360,354,088,792,178,433,553,
787,169,961,083,955,597,076,857,386,129,778,487,783,242,012,301,998,551,680,
568,689,603,954,718,298,540,927,599,629,723,971,308,206,730,857,466,289,582,
768,091,309,755,295,904,274,836,974,588,834,742,699,846,328,424,220,993,699,
799,505,223,301,963,383,713,884,410,381,224,589,590,127,209,619,193,879,919,
672,053,968,819,464,220,605,220,900,025,035,807,681,039,959,775,937,853,466,
360,162,250,383,724,860,607,141,981,085,926,129,516,974,600,843,875,814,961,
463,435,682,924,741,587,082,797,761,658,599,313,113,094,526,183,335,224,335,
405,745,843,226,513,960,937,195,491,178,219,257,482,554,263,111,457,340,558,
421,229,441,138,910,011,374,587,748,422,768,462,255,892,628,572,103,312,333,
428,465,319,881,375,894,537,772,932,630,593,885,099,376,603,481,048,227,897,
795,134,212,419,786,327,813,279,390,240,746,365,109,696,422,259,382,433,834,
927,167,351,277,205,270,327,216,191,529,011,373,829,205,130,795,173,133,532,
656,074,769,419,188,474,620,907,796,513,756,995,965,340,940,476,216,699,526,
151,981,440,773,353,181,291,461,690,519,251,452,679,820,697,500,504,186,762,
301,768,115,498,535,445,235,346,103,385,739,514,749,181,749,363,999,359,002,
968,844,428,348,671,795,460,080,501,664,978,156,192,106,472,663,911,840,457,
715,841,459,871,186,447,366,297,940,081,927,047,885,382,600,140,045,499,773,
207,771,938,778,644,810,833,866,150,592,378,469,431,632,800,027,747,940,685,
885,735,461,922,336,125,828,380,161,402,191,010,152,231,904,601,143,820,012,
321,760,368,252,460,898,841,433,376,008,656,048,010,978,807,551,249,564,018,
999,267,196,707,727,290,132,806,918,628,578,169,093,807,556,788,269,201,745,
873,715,162,359,450,594,085,609,206,285,319,172,218,122,780,949,349,432,333,
502,191,787,874,904,780,328,975,842,442,294,800,711,230,107,525,920,064,854,
010,694,244,464,494,575,531,417,942,606,364,793,332,853,361,810,129,170,529,
579,666,788,141,660,163,718,738,604,551,406,306,708,760,173,297,021,580,241,
742,073,570,965,845,977,786,523,780,194,252,793,539,459,039,881,699,544,630,
195,563,817,652,387,180,115,775,043,080,915,642,568,394,292,415,863,524,322,
077,774,425,933,497,668,062,637,668,335,820,121,176,721,406,669,105,097,057,
313,122,932,494,872,344,109,976,131,873,540,188,881,688,254,865,174,603,022,
694,846,232,518,559,194,732,079,952,885,786,266,724,983,886,390,640,818,681,
766,637,440,275,602,584,414,329,033,885,760,912,070,625,211,549,689,335,635,
410,019,078,326,577,442,724,946,546,129,584,739,241,638,849,753,541,844,870,
801,904,071,695,388,160,870,650,380,481,280,712,810,750,610,536,777,985,410,
422,668,699,424,903,940,478,778,814,544,958,653,099,933,584,463,902,380,423,
002,112,318,588,838,857,209,699,135,275,030,468,568,214,203,546,123,163,093,
030,311,444,017,732,418,943,981,336,429,580,625,489,093,129,172,926,613,529,
405,157,988,847,142,256,911,646,175,780,875,397,482,484,583,923,437,530,226,
153,902,264,261,830,992,221,566,083,149,465,551,216,247,928,809,163,117,422,
974,659,258,584,378,164,753,051,401,181,137,574,864,261,843,691,529,849,021,
842,822,760,698,788,610,186,964,985,668,556,141,601,502,964,618,594,034,868,
496,454,783,418,843,543,909,510,350,294,276,384,825,307,039,906,383,464,328,
270,335,383,930,302,296,760,173,564,387,066,590,971,695,045,608,906,796,765,
181,335,058,517,725,422,963,886,758,075,710,719,968,306,721,382,185,372,302,
243,466,635,104,166,531,398,381,421,137,129,417,583,488,559,161,990,968,139,
264,082,321,675,624,689,383,380,803,280,766,157,057,150,297,894,213,855,089,
063,641,886,363,385,607,524,599,275,407,363,684,026,114,588,912,073,820,984,
621,633,292,091,083,803,651,994,342,252,000,477,734,322,228,708,862,829,669,
257,772,188,466,178,812,568,546,086,533,167,822,156,007,908,107,103,276,800,
599,867,371,084,545,836,208,239,078,100,794,355,929,849,905,781,677,347,722,
823,236,623,194,972,408,471,071,717,653,484,084,185,713,348,190,414,972,294,
811,262,171,805,910,458,792,774,405,068,173,791,321,832,319,283,682,575,204,
908,169,923,647,946,459,469,018,282,108,379,563,647,033,905,313,269,428,483,
312,457,305,642,008,959,227,762,826,243,273,003,054,245,609,366,237,075,186,
099,386,792,272,186,202,104,106,186,201,645,929,677,590,178,513,153,201,788,
518,087,857,861,339,987,241,631,977,471,211,834,736,067,085,017,384,826,769,
454,065,472,755,947,692,104,874,627,357,749,357,922,034,673,105,953,564,670,
977,673,470,903,793,935,327,482,169,012,442,358,125,236,774,378,593,306,646,
826,718,439,981,686,839,994,632,505,412,460,856,979,310,551,781,340,941,401,
904,171,736,645,492,829,865,105,304,537,040,783,763,353,181,158,566,020,794,
629,260,322,607,457,727,787,828,200,439,390,873,601,626,547,322,950,916,543,
488,050,026,173,372,317,265,652,100,069,665,262,948,933,973,509,680,145,064,
740,907,247,235,561,099,646,304,195,230,005,958,715,190,191,780,516,826,896,
051,303,378,044,199,763,714,882,523,849,945,866,027,165,214,267,626,579,388,
347,989,525,992,636,190,707,935,129,538,325,290,299,539,113,124,966,887,578,
705,173,790,844,554,104,654,038,394,737,398,547,289,953,695,912,479,847,234,
664,393,065,788,220,418,809,834,232,060,053,849,251,480,886,702,197,502,450,
934,258,059,696,734,322,240,795,969,156,644,988,743,412,764,399,621,801,277,
665,482,112,327,864,451,372,613,641,621,396,130,870,021,210,333,990,205,866,
336,643,750,163,896,470,637,053,363,632,164,515,267,559,869,273,005,627,589,
673,024,654,531,695,365,101,674,155,817,766,788,898,285,517,184,003,262,841,
700,481,218,343,766,726,198,891,375,677,620,993,209,625,812,187,366,256,345,
005,971,106,097,613,621,586,370,142,875,291,473,086,447,849,932,991,717,101,
585,831,361,666,197,761,123,513,647,754,597,270,416,039,542,839,049,928,841,
849,879,807,122,046,904,169,851,922,881,842,146,266,601,224,971,483,503,235,
400,225,928,364,953,487,184,757,463,276,313,573,386,841,778,020,343,244,125,
296,481,492,426,737,044,039,744,640,896,844,134,838,921,734,958,162,539,540,
275,949,408,190,630,277,147,056,527,923,188,042,474,778,886,493,326,154,186,
534,247,459,260,164,403,325,628,434,968,968,513,240,843,807,801,965,694,601,
520,361,903,242,242,182,530,025,824,249,611,313,445,109,719,745,553,711,943,
423,560,631,143,801,486,606,146,215,378,742,688,503,001,600,532,432,846,195,
756,582,974,355,060,753,407,767,788,264,134,368,482,458,583,625,284,715,735,
101,240,133,000,422,856,815,777,508,586,381,637,318,847,895,890,463,535,429,
977,115,492,998,314,185,309,516,490,648,537,783,818,242,994,282,700,139,093,
375,449,207,487,937,981,503,372,459,946,480,234,358,817,879,939,803,543,589,
696,086,243,600,694,604,068,718,152,242,798,087,245,156,928,995,313,777,040,
241,691,385,430,090,556,417,231,590,732,480,379,750,609,686,204,241,760,752,
208,448,872,703,134,024,548,211,415,239,269,151,246,732,221,119,702,536,134,
096,228,714,992,075,607,391,971,762,816,918,100,523,195,945,729,130,643,543,
274,727,720,176,263,215,706,897,237,790,026,155,655,720,926,514,075,326,710,
385,347,249,932,412,601,980,849,472,236,921,300,494,906,791,139,106,298,503,
167,516,911,317,846,363,476,482,558,037,825,419,411,564,704,173,877,110,841,
999,006,523,799,143,075,656,868,235,869,357,606,722,209,325,040,185,650,763,
601,463,526,823,936,355,154,349,366,207,067,827,321,096,196,233,574,774,517,
192,209,338,909,122,041,883,818,801,695,029,750,671,722,099,737,848,067,175,
358,103,395,750,939,701,999,076,941,042,691,199,229,206,917,472,650,227,414,
038,793,599,389,517,617,272,210,004,097,200,592,629,757,284,075,894,406,690,
579,806,861,140,096,420,581,769,814,229,971,960,374,870,530,878,452,552,617,
357,182,550,319,144,640,577,730,585,734,519,831,392,326,467,369,569,707,109,
638,848,548,668,622,614,440,765,875,266,550,488,960,700,959,802,427,372,457,
557,505,893,820,483,666,287,987,260,305,495,193,802,426,898,116,543,194,702,
173,557,845,754,961,223,077,592,781,718,028,129,265,099,973,945,110,205,170,
247,327,176,575,758,886,787,321,226,893,986,911,605,920,897,686,106,769,217,
679,979,375,665,878,312,177,231,417,019,572,427,182,655,775,163,681,924,531,
616,651,057,867,548,357,886,690,137,559,630,175,335,849,073,687,511,452,487,
877,871,592,286,195,317,040,517,313,896,367,117,430,246,491,695,017,900,409,
113,890,857,992,195,626,475,411,724,971,159,580,076,374,181,081,188,992,238,
363,866,091,489,768,531,570,331,662,365,010,299,044,763,503,892,323,821,000,
206,291,690,864,069,583,738,538,201,497,294,189,223,835,352,214,142,709,096,
757,322,248,081,288,498,382,144,105,043,725,086,905,025,104,725,624,402,847,
296,454,354,867,316,490,053,117,624,365,502,213,106,701,303,872,476,246,880,
811,021,443,403,305,580,341,242,087,079,680,083,873,224,135,782,347,607,306,
500,419,493,360,418,821,415,893,310,287,318,750,947,496,271,462,968,431,742,
972,122,082,425,415,281,036,962,532,852,431,799,296,941,638,695,430,331,752,
182,220,857,865,864,619,932,804,137,223,837,264,127,542,023,885,932,283,183,
706,216,571,219,471,442,272,841,315,861,606,309,297,609,001,121,135,867,316,
245,730,690,592,108,144,963,005,387,077,571,156,752,029,164,913,274,701,028,
526,761,716,957,303,061,501,858,390,826,519,299,185,453,942,206,669,796,065,
681,159,037,535,259,948,480,319,692,982,118,397,395,962,391,629,956,274,699,
167,995,995,025,794,727,722,964,245,657,579,975,707,184,046,250,816,367,530,
733,933,919,501,908,754,384,833,923,515,421,810,798,647,562,609,916,162,298,
143,506,362,625,961,521,160,909,335,026,095,873,441,517,215,757,204,040,394,
907,345,255,307,345,323,788,948,035,529,028,848,625,840,160,765,027,873,897,
625,935,916,580,947,556,098,079,374,495,046,314,524,532,942,933,937,315,073,
527,396,319,488,060,865,300,296,652,734,577,561,032,482,989,912,363,925,441,
928,158,645,051,208,499,750,043,230,121,572,423,372,912,647,937,440,001,993,
843,325,949,905,252,192,595,566,579,254,220,872,639,127,477,008,289,005,100,
335,759,228,040,916,793,944,308,962,305,276,810,396,615,055,182,599,506,774,
222,820,113,024,552,755,508,519,927,243,339,395,938,607,195,240,216,578,506,
575,701,995,081,153,633,290,727,771,184,171,549,696,860,765,238,753,566,151,
917,169,530,121,316,116,343,802,888,934,904,227,539,428,974,496,056,696,609,
582,510,377,246,300,045,384,448,522,219,652,354,241,236,526,370,572,567,172,
707,518,275,245,049,414,493,462,823,022,642,802,757,153,569,915,140,083,127,
790,200,264,157,697,801,444,681,935,066,037,367,184,931,414,836,744,290,384,
507,186,904,371,008,457,759,770,944,648,453,600,613,286,121,392,458,927,411,
937,097,145,388,237,124,209,788,322,023,470,154,969,370,170,612,173,442,580,
190,651,050,513,890,196,976,895,663,824,699,272,128,816,781,224,240,946,159,
032,073,632,829,648,294,047,867,323,216,294,583,253,423,473,611,812,166,604,
941,235,195,296,046,053,938,563,007,476,792,890,976,666,240,004,633,811,062,
158,593,667,951,962,162,706,720,407,960,049,377,335,587,556,285,134,594,456,
727,771,346,220,247,506,207,686,111,484,848,799,498,671,265,109,702,674,382,
725,802,354,608,971,898,311,414,338,267,423,541,457,180,952,367,822,686,072,
010,593,576,491,650,361,609,279,067,688,380,550,059,797,374,239,704,743,535,
958,430,801,490,871,068,206,680,591,367,204,340,309,049,694,518,537,125,946,
651,473,071,404,185,713,798,670,429,638,171,375,263,021,146,039,267,763,413,
385,413,108,119,937,502,118,907,597,640,994,935,344,440,316,629,323,019,388,
177,978,386,351,846,103,904,370,355,930,626,883,039,641,624,884,418,248,030,
780,196,304,116,054,356,181,329,389,559,140,600,564,101,807,066,541,137,586,
286,917,427,083,144,319,463,325,965,917,474,622,152,281,377,327,967,895,372,
285,519,568,967,002,199,783,275,803,866,283,085,889,227,943,153,642,979,469,
642,470,174,973,492,600,216,668,180,444,626,787,787,833,366,954,792,957,486,
645,287,851,356,409,806,874,743,578,194,407,420,075,958,946,230,515,672,910,
705,367,798,537,296,950,346,589,170,565,103,502,805,427,245,124,669,639,830,
863,463,611,343,302,321,774,612,678,269,000,192,919,014,376,448,216,298,574,
927,734,803,188,887,260,061,752,851,320,390,719,026,870,218,504,538,625,167,
342,970,450,976,802,227,788,863,437,849,084,610,066,927,440,745,010,123,026,
754,780,379,360,365,504,669,044,403,911,896,063,870,980,830,530,914,513,015,
157,185,767,885,727,825,684,953,154,568,251,112,344,129,882,703,020,769,863,
134,359,460,868,543,554,347,311,127,488,612,885,333,581,042,242,853,872,610,
013,293,861,033,492,347,841,012,576,742,665,717,719,334,691,813,040,762,352,
026,018,011,017,400,167,640,018,014,218,892,332,056,685,963,637,328,250,898,
235,036,707,415,192,445,806,456,747,978,464,981,996,807,202,974,342,935,364,
081,648,324,438,354,773,800,867,182,703,898,833,596,112,217,964,763,190,201,
189,062,449,198,108,811,312,586,068,580,169,160,749,268,761,622,220,290,990,
245,412,734,991,846,809,018,541,680,971,610,511,487,615,456,437,344,427,501,
298,122,301,061,646,617,281,669,854,568,640,601,174,154,796,681,771,720,744,
198,892,646,717,122,816,799,508,822,392,918,583,962,795,052,400,103,396,994,
063,602,229,403,429,272,008,983,785,693,483,555,018,526,132,678,256,666,934,
554,424,525,892,075,511,442,858,529,199,971,332,591,469,186,602,980,048,730,
064,591,613,461,729,858,667,191,825,335,145,588,949,818,209,112,092,795,303,
566,399,251,230,615,398,889,983,380,868,721,616,776,442,610,976,866,184,057,
558,267,097,936,943,344,103,529,606,238,812,926,277,640,685,779,508,651,936,
469,840,038,956,068,173,540,243,586,889,993,251,037,759,033,566,927,354,432,
095,858,269,302,281,909,057,423,817,189,887,076,521,952,989,829,824,139,760,
466,710,819,020,302,872,201,438,919,560,409,199,032,031,609,015,711,161,546,
309,443,964,277,895,187,131,019,370,797,271,033,689,687,035,639,573,674,591,
656,169,119,569,040,464,784,291,306,346,024,201,084,622,379,000,785,286,446,
121,674,836,676,982,243,300,530,963,802,583,380,526,016,816,756,166,109,687,
556,788,406,376,436,178,313,871,883,098,209,473,807,263,472,971,783,074,827,
238,459,327,444,182,815,840,202,592,740,111,167,748,391,440,405,572,533,247,
916,336,808,405,245,831,061,967,281,635,252,956,069,273,001,799,544,806,977,
544,341,498,911,556,950,911,767,915,514,776,677,055,954,307,614,211,147,580,
606,050,586,721,169,692,761,785,019,397,788,272,309,642,657,580,765,675,176,
205,183,152,809,603,853,349,680,034,181,773,333,908,798,082,266,429,402,353,
522,988,598,634,664,597,630,889,444,701,766,365,731,453,445,661,985,021,360,
849,999,113,027,391,213,732,583,876,250,549,006,575,038,876,598,365,358,461,
802,558,703,311,614,451,096,029,467,267,857,760,111,812,844,628,411,136,376,
735,585,025,286,124,714,609,590,763,373,311,741,274,843,316,287,253,433,030,
163,362,810,902,027,919,657,451,381,419,656,928,608,420,466,911,278,769,203,
424,096,755,576,924,699,556,943,463,330,813,179,981,532,678,064,016,140,375,
780,085,878,045,949,548,936,482,637,989,505,316,236,033,911,292,240,299,571,
377,031,740,646,343,544,577,455,661,180,282,909,289,157,788,474,218,101,049,
236,439,241,016,581,070,085,600,464,316,329,372,297,163,673,497,994,655,521,
527,231,494,466,263,221,331,050,912,981,091,773,210,909,751,008,793,043,960,
151,944,208,418,603,202,737,404,809,102,314,073,941,764,212,380,934,033,969,
217,747,753,128,537,766,178,030,761,125,767,575,408,710,429,448,980,596,749,
725,278,549,802,905,243,989,623,920,445,376,125,719,016,609,164,249,823,258,
651,578,530,292,053,992,453,241,944,092,752,975,857,630,433,879,280,321,332,
619,368,086,366,229,274,115,220,615,596,910,743,771,707,700,158,414,048,418,
704,939,505,464,669,381,371,347,625,364,440,261,181,814,633,804,516,871,263,
310,165,827,435,925,097,594,362,529,524,464,370,172,653,340,387,729,377,645,
330,412,533,437,238,517,576,254,890,139,520,975,502,242,330,808,337,538,634,
057,736,057,568,111,192,835,264,168,987,622,213,726,888,868,097,002,831,719,
823,733,096,993,014,921,782,223,087,353,166,505,366,487,053,970,312,291,606,
063,335,644,121,093,167,462,180,100,691,343,644,868,254,816,567,559,023,406,
920,933,702,597,602,699,624,175,223,453,052,729,879,778,582,123,552,228,765,
332,308,544,278,153,829,395,551,460,746,895,307,852,399,946,644,227,246,023,
103,226,193,716,370,572,898,867,324,240,864,685,437,267,303,516,637,932,460,
194,907,699,174,157,325,299,375,917,116,657,656,261,435,511,533,300,673,606,
806,967,130,637,744,610,960,387,591,055,510,731,263,170,423,843,409,911,094,
780,488,074,448,054,565,794,930,669,395,891,207,615,492,194,209,490,583,651,
763,345,654,323,761,924,548,891,545,563,235,338,487,903,373,370,486,708,610,
704,820,464,277,504,597,233,492,648,692,922,452,694,164,679,003,781,371,957,
047,762,058,987,089,668,133,625,092,373,613,947,422,398,847,832,955,716,482,
085,956,682,457,075,768,222,077,824,243,815,261,969,631,214,753,873,707,601,
165,262,722,796,426,074,483,869,571,138,335,520,068,402,233,997,199,743,088,
395,014,102,699,515,043,743,969,504,573,843,946,114,103,973,417,421,650,482,
088,617,757,560,774,739,567,477,240,900,801,981,557,334,448,515,863,829,591,
544,615,506,925,661,087,260,163,334,260,314,191,032,980,476,661,006,298,265,
412,503,952,173,856,910,898,135,512,480,821,641,616,024,743,941,203,880,657,
135,659,942,096,412,949,440,573,149,470,645,582,937,464,758,824,240,400,449,
155,491,212,246,663,545,043,968,492,959,076,792,516,729,698,761,218,472,305,
742,779,322,681,417,390,505,055,262,853,891,383,618,694,136,713,990,902,973,
562,557,759,493,902,647,577,904,654,790,822,828,027,760,215,913,369,349,224,
741,506,402,738,137,853,598,105,060,907,358,506,315,384,179,145,978,153,988,
595,129,769,369,463,472,633,865,329,055,406,752,765,005,336,953,788,855,035,
105,829,058,721,376,862,905,093,378,577,364,625,771,336,202,921,862,511,965,
228,842,971,720,168,084,546,803,620,045,300,015,045,580,448,729,222,704,315,
706,107,865,868,003,763,405,383,726,817,879,848,596,501,787,419,477,324,715,
620,183,277,640,680,506,814,025,935,496,764,042,139,966,129,858,460,155,743,
475,974,850,888,274,807,615,635,260,699,773,349,881,983,882,181,034,657,984,
446,962,689,809,127,365,460,042,435,137,611,571,391,779,449,598,265,671,222,
888,336,162,662,501,481,856,571,928,013,317,052,618,129,883,597,123,537,509,
430,314,270,977,175,354,233,794,015,251,784,577,731,912,401,937,268,400,339,
801,811,311,478,201,577,998,050,976,656,661,536,244,945,050,383,015,513,173,
598,846,002,501,715,403,937,223,336,031,566,730,957,686,034,656,719,584,165,
294,964,926,693,088,753,846,201,017,041,012,674,162,555,648,659,909,727,918,
172,927,569,104,091,483,715,533,568,653,576,807,707,455,647,447,940,011,641,
007,061,991,491,763,995,001,231,345,083,397,510,344,917,385,684,215,381,275,
468,249,701,245,324,386,486,584,548,738,715,868,075,262,903,139,244,494,487,
048,807,503,989,066,675,249,960,800,244,898,354,521,188,475,315,136,752,374,
243,884,646,171,321,351,835,690,208,031,723,104,559,800,788,119,794,332,917,
726,140,417,794,755,911,755,128,099,094,510,176,350,137,423,199,105,283,478,
331,388,254,202,271,007,875,609,130,714,651,538,192,807,981,794,401,643,189,
694,775,489,758,974,267,799,591,205,371,338,640,901,944,389,711,196,940,691,
207,471,282,237,036,077,991,630,315,392,917,650,006,944,694,824,564,413,413,
848,000,790,407,462,462,378,074,478,610,033,772,744,330,909,885,762,579,549,
215,310,145,674,217,280,132,272,852,548,273,640,291,528,273,090,100,215,222,
970,032,983,378,001,307,818,190,990,110,896,178,738,767,626,035,967,793,314,
892,235,569,750,176,347,037,512,206,983,630,068,065,155,033,740,106,171,551,
525,933,736,334,787,364,041,255,925,068,839,876,428,077,717,747,624,723,096,
562,286,281,003,661,739,581,168,557,191,443,963,513,269,996,026,306,884,960,
860,244,826,020,863,997,138,063,865,605,635,353,805,109,675,176,837,932,254,
663,932,970,263,873,198,308,687,353,294,578,766,103,221,925,882,625,684,648,
341,916,116,034,704,451,835,329,264,302,207,310,712,791,550,714,162,178,709,
583,134,603,921,413,616,625,157,648,374,521,607,124,350,703,884,122,884,615,
583,993,890,409,730,352,259,504,691,418,264,919,283,077,442,154,984,924,568,
497,822,120,972,092,259,320,710,408,946,112,935,837,500,013,859,478,982,267,
297,953,064,072,814,169,516,577,502,698,728,509,000,557,469,864,756,157,352,
312,400,687,226,134,973,542,956,905,176,526,725,702,485,624,457,177,977,683,
758,930,708,247,259,358,242,144,656,974,949,032,384,119,869,050,897,231,160,
857,505,432,576,788,490,277,526,799,745,659,821,780,951,224,698,419,086,412,
075,408,459,262,505,533,733,810,027,701,774,699,575,950,004,284,324,381,702,
669,432,158,462,004,785,255,380,334,749,253,031,555,597,017,029,540,806,616,
759,951,062,713,859,818,926,541,545,062,344,672,734,456,741,046,415,775,121,
658,951,724,269,644,364,914,891,568,885,292,395,816,206,817,542,306,790,901,
401,944,109,977,410,688,407,894,352,135,565,588,270,078,184,892,256,892,348,
235,721,556,631,276,299,732,151,012,090,602,391,775,886,151,946,048,082,924,
166,657,546,555,603,120,494,563,024,377,738,269,676,908,036,178,126,908,608,
764,063,110,742,380,055,807,333,565,406,137,875,111,224,747,603,892,998,865,
870,762,188,592,089,681,205,688,502,884,712,785,141,949,991,074,263,513,410,
392,221,912,740,966,007,248,477,025,087,690,411,150,404,805,266,038,863,088,
319,146,206,348,768,939,735,747,867,838,381,215,222,457,944,353,657,850,534,
091,714,060,066,810,129,206,188,108,756,836,880,700,156,744,739,747,163,962,
938,411,658,184,788,140,711,504,418,707,487,465,164,265,446,974,790,834,710,
294,441,897,433,851,456,895,430,168,730,277,930,791,149,216,516,869,851,442,
368,183,058,646,471,991,028,157,433,170,780,131,460,217,399,734,989,272,491,
578,186,651,424,631,470,560,706,785,175,086,907,220,142,084,189,291,234,521,
218,365,089,441,171,214,544,146,395,424,640,919,971,315,568,575,079,491,433,
481,959,623,479,388,887,950,274,583,665,227,175,608,900,524,866,912,332,701,
660,027,813,148,103,603,324,268,850,607,482,815,356,754,440,565,649,750,269,
835,300,884,785,406,307,229,332,076,872,140,332,016,300,072,024,694,088,740,
299,116,754,868,629,763,165,221,260,177,837,511,974,691,868,203,014,812,361,
213,855,072,017,158,276,875,374,215,009,781,657,371,991,214,503,787,971,253,
376,415,334,740,358,080,203,136,402,690,081,815,836,787,881,624,442,077,491,
963,734,813,514,016,857,893,991,228,864,335,779,735,650,664,097,621,248,536,
029,730,360,629,768,697,306,540,017,066,442,798,795,765,232,388,982,713,173,
604,007,237,014,692,561,008,484,953,375,598,985,473,054,763,901,116,185,248,
919,896,409,098,944,130,780,075,628,191,290,544,698,247,097,249,450,848,954,
527,307,408,504,880,965,233,155,877,057,974,457,131,221,180,596,905,736,110,
454,094,338,765,280,841,685,204,725,370,167,348,820,315,430,798,419,616,938,
445,989,089,279,197,656,094,765,350,991,402,920,957,597,822,985,513,940,274,
142,074,001,208,208,180,141,466,128,963,243,102,647,607,461,616,886,766,627,
644,759,814,492,079,606,049,318,401,507,597,005,693,378,939,065,081,850,932,
825,984,069,854,010,257,053,091,717,342,163,103,199,659,957,376,608,514,533,
662,516,871,949,056,481,441,677,720,613,606,790,268,369,069,932,701,905,271,
933,930,806,604,956,579,596,571,764,908,375,214,467,745,773,041,031,610,593,
170,179,262,969,102,681,916,982,541,352,248,298,008,969,847,051,513,452,678,
704,097,843,798,436,008,086,856,357,838,586,634,293,292,453,269,930,600,524,
472,466,576,708,924,850,984,609,176,022,315,949,422,814,170,419,630,974,216,
490,531,411,184,409,264,537,466,864,358,812,242,389,904,265,133,616,133,625,
611,421,520,574,977,928,247,129,399,827,315,087,980,017,155,364,686,635,049,
301,248,289,609,932,492,633,883,353,687,695,831,787,008,076,209,862,851,145,
838,913,475,198,293,035,421,947,699,389,733,104,774,766,799,320,487,035,300,
355,017,720,403,815,772,170,775,243,679,658,010,170,258,766,765,270,023,687,
369,181,617,667,408,879,616,090,362,068,619,459,463,813,841,021,804,034,076,
229,313,408,333,939,701,463,444,519,801,369,418,068,484,663,833,690,006,035,
278,236,999,245,340,031,196,240,197,727,667,744,552,602,070,323,841,007,938,
937,313,645,462,578,831,962,980,805,400,698,987,573,185,207,855,201,838,023,
670,894,433,806,049,900,334,914,346,289,143,270,001,523,910,267,845,226,147,
647,806,750,865,486,696,776,954,969,472,000,257,826,142,889,181,821,830,043,
575,469,773,364,037,650,823,370,879,358,941,820,474,447,345,051,562,260,794,
193,774,754,712,044,113,702,152,228,289,046,533,463,509,033,062,679,493,224,
651,343,104,028,135,317,660,644,367,467,201,478,813,437,211,034,340,439,666,
422,359,033,487,920,621,322,195,628,092,537,677,947,134,576,114,998,580,723,
258,120,093,265,239,378,215,477,168,112,574,154,887,178,947,271,945,069,761,
124,667,635,874,620,137,349,517,735,984,021,198,809,295,819,242,298,984,604,
492,774,654,723,883,675,083,188,962,333,235,348,077,663,244,807,806,171,054,
686,284,900,333,593,242,349,251,819,694,655,844,929,714,638,552,100,509,291,
327,971,484,065,454,837,371,318,550,024,146,422,486,696,817,221,577,547,874,
573,066,682,278,518,233,034,185,501,775,750,230,239,518,095,611,113,072,413,
742,479,204,078,714,788,137,500,051,870,252,812,482,887,736,531,515,252,649,
365,289,920,305,751,514,108,967,299,612,229,750,208,134,044,235,174,125,499,
781,955,327,123,454,318,238,382,937,692,780,221,822,910,680,906,124,624,079,
897,441,678,674,105,499,621,370,767,692,259,949,024,991,787,287,127,356,725,
392,955,053,193,340,113,685,681,186,439,385,796,656,165,826,129,664,814,843,
497,424,990,198,869,612,003,550,338,102,728,300,982,882,926,353,096,627,637,
355,936,099,129,038,916,819,091,736,393,506,009,779,748,021,346,155,120,413,
684,949,443,307,814,239,366,853,445,264,697,796,667,426,523,256,811,145,908,
145,548,095,558,687,042,729,038,188,188,269,333,101,301,723,932,053,299,952,
536,930,312,148,459,785,620,549,969,392,803,667,167,442,243,405,476,019,050,
461,060,390,382,658,254,091,564,745,807,710,735,155,713,938,197,025,233,610,
202,640,831,249,897,622,959,085,976,201,391,251,898,124,680,826,896,129,668,
628,475,386,585,202,954,994,531,110,439,930,585,398,159,484,791,676,835,340,
412,421,143,069,436,258,724,381,601,035,388,478,649,856,767,879,891,602,145,
272,256,924,788,604,980,886,050,425,271,286,047,016,586,861,350,430,998,349,
674,763,690,526,060,813,385,939,538,915,499,216,766,012,956,955,193,156,581,
691,215,315,320,126,886,503,828,889,903,702,216,438,737,202,538,178,924,265,
832,399,056,930,200,799,574,144,254,223,818,215,103,424,770,670,129,472,784,
231,350,991,923,390,389,410,333,678,929,293,736,517,198,922,806,360,432,015,
952,449,370,597,333,394,547,991,494,624,583,935,488,880,271,999,091,603,070,
099,332,306,573,416,218,975,345,409,359,471,383,331,670,405,406,058,454,825,
345,669,118,938,886,421,491,643,681,999,750,487,726,319,994,171,910,175,026,
318,348,691,367,321,308,248,810,020,554,330,199,306,221,166,935,088,166,419,
091,342,260,669,576,526,165,886,565,945,692,215,992,845,732,731,141,612,829,
432,598,936,729,759,990,985,903,280,197,363,539,519,651,406,228,307,559,984,
110,557,165,089,116,364,052,812,561,977,929,647,947,651,636,239,998,788,669,
965,220,921,156,190,277,780,526,624,321,424,716,464,899,056,402,406,827,911,
798,795,735,969,119,588,550,187,569,435,291,892,157,959,902,475,961,392,777,
914,539,551,356,072,804,275,422,257,709,459,418,813,005,841,638,115,581,599,
989,339,437,171,759,565,649,103,583,147,244,575,907,711,606,651,300,845,591,
088,384,884,046,061,980,734,534,600,478,145,215,648,405,809,514,899,355,915,
044,580,721,856,203,252,368,212,935,445,822,394,290,956,026,999,484,582,012,
137,155,177,040,613,729,160,095,138,589,116,435,713,104,528,691,381,303,578,
462,901,731,961,661,089,169,980,249,429,540,544,437,136,239,914,685,183,026,
748,426,814,385,252,579,197,855,385,245,002,762,973,930,555,876,097,942,264,
953,262,992,046,144,345,660,354,740,529,507,285,773,721,195,180,685,318,899,
573,716,672,865,454,667,845,622,333,058,205,037,773,976,905,608,394,292,353,
404,248,605,563,231,629,993,849,115,179,412,319,948,635,805,759,978,206,146,
656,770,181,103,915,284,350,409,328,729,722,865,003,319,669,533,881,283,499,
004,417,017,785,803,064,750,775,211,364,470,912,368,574,389,513,539,078,855,
639,339,552,034,558,088,397,216,686,304,253,581,010,897,099,201,858,189,240,
053,770,381,562,397,427,416,447,684,462,136,805,044,640,766,789,219,249,755,
878,318,985,569,938,613,490,648,353,146,961,978,548,867,157,664,974,254,460,
992,936,804,207,512,988,049,053,549,727,614,847,335,302,882,741,307,777,694,
531,849,289,713,150,689,099,641,477,592,350,597,313,943,668,112,468,336,816,
216,523,720,129,784,196,690,430,870,075,082,290,695,051,515,859,724,879,397,
417,774,023,293,176,016,893,374,582,592,383,712,703,068,155,984,705,151,294,
688,038,868,338,720,150,552,746,399,796,306,036,272,137,200,861,263,688,398,
566,943,195,829,844,707,240,633,428,922,214,266,225,686,664,403,283,489,504,
453,592,341,804,490,286,762,821,955,285,944,623,523,725,787,141,250,705,261,
597,075,190,330,085,664,949,263,925,181,065,793,941,319,513,339,246,859,172,
564,367,466,368,509,476,613,115,278,834,559,381,034,689,773,361,373,012,123,
087,332,937,574,631,985,889,792,695,939,843,505,979,088,386,578,926,890,181,
894,769,442,460,136,534,661,494,280,471,952,780,595,830,504,007,787,941,354,
260,283,065,370,075,299,471,673,652,080,245,998,122,668,996,440,815,866,000,
571,066,009,523,655,948,760,204,997,947,504,121,344,048,711,080,426,970,699,
483,636,739,767,092,174,354,152,543,398,154,951,813,660,553,723,202,706,109,
559,019,585,546,114,705,177,797,791,422,542,540,254,532,404,702,026,211,648,
740,556,870,690,541,617,534,465,502,370,561,021,464,413,908,886,421,809,464,
543,066,970,377,102,770,007,471,733,853,175,727,099,779,414,130,433,323,750,
095,160,373,937,842,368,514,602,957,679,462,161,298,008,824,862,965,460,250,
672,321,138,484,686,260,352,917,762,122,556,683,697,271,982,056,434,114,186,
767,018,249,855,025,830,248,693,880,918,324,481,994,605,946,769,080,882,500,
535,759,372,068,950,726,116,525,688,849,756,259,136,657,860,024,652,949,373,
242,182,079,022,901,039,806,753,400,643,816,463,884,152,851,459,403,339,218,
954,348,055,746,260,431,958,600,991,987,024,213,419,760,498,316,679,376,476,
486,890,817,257,003,436,072,411,814,127,494,183,684,672,299,413,320,842,443,
964,698,186,226,108,272,850,261,144,952,520,844,688,953,605,367,078,437,104,
319,423,428,387,370,770,463,691,152,528,954,025,674,270,063,338,561,708,018,
701,020,605,382,392,671,154,212,546,656,631,311,496,139,460,568,289,879,038,
528,641,025,862,756,942,363,209,289,032,056,975,207,993,547,856,540,266,181,
778,834,203,100,913,190,295,582,272,226,052,924,220,586,438,863,112,163,963,
066,769,344,934,520,958,837,594,041,373,569,314,409,680,170,920,093,580,894,
578,876,672,427,972,687,414,396,528,392,689,454,999,467,207,878,624,512,222,
230,609,342,341,284,649,545,444,690,842,125,443,942,020,135,658,678,776,008,
915,644,910,049,391,030,293,342,180,341,665,872,865,271,701,132,555,960,556,
469,172,861,142,016,093,410,006,181,037,242,460,910,018,498,024,783,682,675,
708,120,207,801,125,763,471,673,538,297,711,185,735,286,458,226,363,821,440,
322,422,112,541,950,429,245,001,840,136,885,382,535,881,257,214,936,030,382,
376,989,637,830,233,975,754,381,331,825,626,247,987,209,149,984,975,742,434,
577,683,817,189,694,319,965,174,058,100,850,415,029,551,979,386,647,801,272,
446,012,836,237,168,055,363,413,095,930,451,895,959,567,145,064,258,838,444,
914,340,964,938,547,103,785,106,551,160,755,506,093,517,786,384,448,398,208,
788,827,833,270,244,354,821,137,930,194,913,289,335,750,923,994,182,043,697,
884,447,678,126,284,158,721,939,301,934,466,311,028,430,531,378,528,851,743,
315,969,550,722,033,577,902,459,650,533,839,275,631,225,401,557,081,466,207,
697,507,661,831,446,346,518,172,080,884,498,512,231,367,972,967,182,458,167,
450,601,996,696,489,329,052,687,466,428,992,536,368,906,922,809,772,808,495,
640,273,004,279,914,237,381,484,686,024,649,596,601,292,051,899,647,189,584,
122,491,058,434,351,848,379,045,728,043,900,647,198,814,108,151,799,463,945,
561,298,632,716,106,471,382,647,559,051,401,130,550,233,639,865,164,271,234,
898,598,027,345,258,325,352,483,578,165,575,883,777,737,356,932,988,209,600,
051,448,967,462,420,040,670,577,952,077,011,670,255,888,257,190,912,422,392,
862,088,635,706,790,956,741,348,196,385,617,258,787,903,339,496,294,544,934,
476,736,617,682,861,967,924,308,144,234,910,044,395,263,722,542,327,645,455,
210,942,740,346,507,927,324,102,152,707,382,419,176,156,235,360,184,524,350,
444,900,301,637,406,492,186,017,290,626,859,578,476,348,214,250,465,351,826,
842,066,681,334,937,510,110,572,508,262,901,156,682,274,786,362,756,222,458,
881,109,258,656,317,676,522,117,061,718,058,811,073,988,147,239,956,522,336,
463,791,483,135,440,096,239,045,896,903,168,697,640,818,413,624,225,954,427,
052,771,951,321,195,804,220,062,499,536,372,929,496,475,298,946,352,831,702,
445,398,381,421,216,073,759,186,315,353,585,633,177,018,907,695,729,056,409,
202,351,301,849,988,217,268,697,250,850,478,297,824,600,086,740,467,305,519,
338,546,986,163,116,635,872,513,209,467,740,389,775,435,394,709,579,124,051,
875,439,125,054,610,642,989,311,889,415,135,619,151,067,260,308,737,183,664,
811,743,136,551,679,468,848,590,021,116,341,726,947,631,315,426,053,682,627,
403,564,689,800,686,541,506,709,341,604,563,414,539,659,516,575,020,764,198,
018,381,202,233,881,512,551,441,907,824,165,672,970,635,473,534,934,377,646,
341,863,454,101,210,658,737,659,738,051,608,813,853,435,726,609,501,429,719,
434,949,818,785,171,324,093,953,246,906,891,562,381,155,495,701,278,210,875,
801,491,647,280,899,272,207,674,160,848,338,884,352,421,294,077,934,365,962,
333,639,567,862,944,950,970,604,313,211,642,311,829,903,374,353,181,170,237,
607,639,306,533,725,478,214,196,405,439,001,515,724,796,764,762,339,664,393,
654,443,052,097,279,736,531,532,608,231,372,985,551,621,692,299,513,674,387,
977,685,131,545,254,452,634,892,961,430,318,206,458,072,097,487,133,359,028,
726,961,522,612,348,635,824,528,678,180,988,715,127,073,897,946,224,467,143,
634,722,582,356,041,713,312,453,972,675,311,491,612,789,981,713,751,669,161,
138,856,027,989,526,371,226,000,138,275,935,364,018,211,029,594,977,683,450,
891,410,872,924,018,194,062,654,223,356,398,409,101,354,261,568,758,748,726,
775,266,844,679,437,513,776,421,445,805,175,132,558,978,831,701,662,281,697,
420,998,793,796,869,965,890,908,136,724,306,714,185,281,354,603,817,453,228,
206,395,441,640,892,799,046,324,798,958,645,509,898,900,431,910,587,254,354,
711,838,909,311,731,747,629,667,482,972,676,470,328,596,598,813,300,175,261,
732,270,933,271,103,808,778,051,306,579,448,955,121,633,952,575,964,854,429,
334,550,046,626,304,526,412,470,573,197,628,177,686,476,406,065,349,374,360,
240,048,804,247,037,362,723,114,985,552,488,947,358,503,795,968,622,250,973,
392,250,891,395,895,335,660,129,709,812,971,400,972,234,585,243,127,381,184,
211,921,059,495,816,545,078,255,192,977,152,329,881,009,965,511,170,338,827,
499,643,289,429,209,739,421,513,003,270,205,534,265,962,580,521,095,964,571,
546,882,607,335,304,559,451,316,787,587,002,353,004,148,440,874,204,349,546,
208,531,835,173,895,382,896,276,016,635,612,307,621,647,915,067,954,598,905,
189,886,621,869,185,519,367,266,148,936,866,947,293,700,317,049,197,522,242,
842,058,353,335,171,325,352,015,321,206,396,007,012,189,415,482,858,725,366,
929,118,595,099,356,481,075,860,450,009,831,262,224,799,124,443,149,864,300,
347,635,329,656,547,001,678,996,199,843,019,812,782,233,073,034,064,416,020,
626,978,026,361,671,841,723,518,688,378,793,444,567,804,075,874,676,452,642,
684,920,016,764,395,964,988,695,054,135,393,510,158,360,614,394,839,578,121,
941,647,077,231,653,894,544,307,992,318,540,959,250,554,506,495,645,298,507,
200,506,146,706,779,237,904,423,757,211,881,470,295,039,170,479,650,776,311,
062,698,541,830,107,080,886,174,054,638,741,906,855,197,662,084,779,141,779,
077,168,737,667,013,203,622,823,958,992,279,117,206,872,653,453,147,280,723,
844,686,266,919,901,617,626,990,706,792,710,676,683,369,788,472,623,028,341,
893,412,293,412,733,250,279,652,143,970,241,762,853,280,286,695,681,650,610,
282,865,311,187,441,142,514,078,956,401,074,591,768,236,005,899,725,904,473,
732,613,757,266,465,259,691,713,858,938,046,412,247,118,817,945,865,363,283,
775,388,101,464,742,667,583,364,734,472,033,785,049,237,356,539,654,699,637,
470,667,149,963,894,023,957,588,993,372,615,886,522,138,077,067,007,088,932,
036,537,576,029,997,285,847,494,292,668,075,304,030,625,945,523,886,409,784,
414,801,962,298,493,733,829,912,651,050,675,313,773,275,744,581,597,177,910,
076,635,583,068,573,414,381,031,892,270,565,779,244,734,517,223,123,327,438,
473,412,804,235,944,191,091,435,054,398,202,835,478,679,614,238,567,147,722,
849,520,194,957,644,458,643,431,046,795,441,576,215,252,135,057,739,986,279,
923,067,175,299,295,027,824,693,484,653,332,426,598,672,349,696,332,028,658,
554,526,687,051,534,680,884,066,166,118,499,831,729,024,338,217,012,855,125,
930,540,602,897,525,874,768,729,121,879,615,708,865,433,095,710,313,016,422,
859,652,798,315,634,844,400,129,914,027,762,833,527,796,712,428,495,166,710,
135,862,995,781,745,927,892,598,138,917,810,844,143,604,645,395,620,059,819,
279,898,493,184,511,349,597,874,919,209,489,895,944,193,099,710,519,330,983,
558,600,202,503,277,287,786,505,107,027,426,745,606,053,129,588,715,063,314,
066,988,580,940,144,241,154,969,145,593,891,677,275,743,486,139,750,804,398,
656,851,108,144,246,081,672,889,841,368,214,345,881,765,257,692,746,764,147,
500,932,742,726,974,225,005,875,705,709,386,951,130,289,725,264,542,464,276,
454,326,191,473,144,851,998,903,185,539,419,780,027,045,552,789,258,173,121,
841,170,037,664,164,265,221,231,848,741,451,424,280,592,832,640,409,552,280,
542,627,616,602,229,157,418,796,142,841,533,248,805,718,725,785,163,627,328,
281,059,346,179,048,387,666,577,771,420,228,558,954,880,846,090,059,101,658,
415,762,466,237,967,055,305,464,306,354,879,248,944,389,665,124,458,713,219,
317,577,180,445,839,819,285,180,501,896,089,721,853,814,762,925,767,737,804,
457,988,108,237,979,668,799,549,023,539,781,903,264,902,742,500,774,895,716,
413,154,198,155,072,650,299,261,411,923,615,742,443,346,398,841,547,721,027,
799,488,351,325,319,334,220,138,247,040,740,120,442,712,931,165,272,881,464,
456,628,189,569,923,319,562,556,260,694,907,573,596,146,909,425,539,998,719,
129,775,653,781,119,092,321,851,068,647,929,043,254,510,948,304,534,864,558,
316,184,176,308,151,401,199,780,020,916,270,060,226,338,685,880,040,175,169,
888,165,357,901,361,061,530,340,248,403,643,954,002,432,626,526,771,222,094,
279,862,202,861,176,020,193,427,852,155,307,333,687,318,291,914,545,662,109,
214,655,370,680,552,942,857,558,323,646,194,093,753,008,759,799,618,646,527,
105,651,136,431,458,973,723,149,494,415,358,024,452,901,674,328,675,298,202,
498,915,322,090,411,429,230,249,116,564,139,458,611,777,335,686,644,934,074,
382,681,397,166,498,600,261,715,797,072,976,706,499,916,327,164,429,948,221,
628,325,385,654,675,838,778,150,837,376,784,262,007,912,780,113,461,690,057,
566,423,553,766,049,160,781,506,795,332,775,093,405,052,551,524,300,182,359,
844,385,478,207,973,004,304,173,212,794,054,660,516,157,683,526,961,296,032,
044,271,024,584,291,169,352,546,218,578,596,792,342,463,056,194,691,705,738,
830,633,094,177,926,466,974,680,020,736,250,249,845,082,448,488,193,351,555,
392,544,678,059,884,879,723,524,254,927,101,477,810,563,161,593,174,230,778,
941,520,280,900,554,780,692,662,766,723,620,493,340,209,852,162,020,250,874,
844,609,215,888,481,618,885,686,124,470,203,973,373,302,983,041,001,840,323,
106,081,895,336,315,043,923,284,129,047,727,363,565,172,753,108,801,792,868,
367,086,726,891,037,864,813,106,480,370,779,953,753,129,998,472,157,112,000,
332,970,987,367,242,248,196,279,320,989,668,222,245,125,194,697,631,604,375,
272,332,276,300,103,646,855,694,324,880,000,584,895,177,005,149,539,623,375,
943,208,687,351,757,947,324,550,491,662,181,805,251,486,950,474,563,449,559,
520,504,009,392,144,442,630,047,824,996,951,220,739,021,850,224,140,214,157,
857,008,204,053,824,215,021,486,308,394,951,145,073,376,553,384,899,945,654,
369,169,890,462,322,063,957,214,325,602,415,120,930,787,980,979,574,911,502,
973,966,715,838,315,150,537,579,093,620,632,110,628,209,746,987,727,573,089,
994,953,997,202,956,685,925,990,354,310,613,995,576,908,459,269,264,445,834,
983,917,960,959,500,022,210,098,650,415,892,914,195,988,370,529,768,447,461,
876,673,564,787,611,761,197,026,762,478,140,553,995,830,880,095,722,677,423,
286,793,785,981,632,755,638,864,070,988,125,377,636,338,104,765,938,740,251,
480,373,502,005,136,229,684,641,080,883,076,499,958,864,247,638,214,798,755,
213,589,297,021,921,892,504,125,695,400,125,327,649,776,083,118,787,079,842,
472,519,142,202,097,178,544,308,882,061,904,363,917,242,741,426,389,792,227,
500,517,958,031,841,450,472,611,350,132,375,366,160,114,248,355,954,290,949,
131,846,084,153,481,034,969,447,727,189,946,786,048,015,480,909,987,952,117,
469,900,800,166,842,848,738,000,404,327,656,796,110,652,382,686,156,693,938,
468,328,201,581,861,967,522,553,575,578,590,690,085,835,210,360,380,115,584,
442,982,559,763,101,378,984,984,689,421,388,964,646,347,271,821,432,899,135,
289,043,175,152,885,443,183,737,855,106,365,882,997,569,535,079,013,626,681,
970,580,986,045,713,323,365,376,072,682,507,439,948,902,919,434,663,636,762,
377,408,739,115,021,566,401,162,820,058,124,582,570,680,085,173,704,499,801,
425,736,714,748,060,590,358,280,064,011,276,009,815,036,484,654,229,634,321,
095,893,825,876,906,405,141,143,757,856,598,921,506,136,580,190,468,488,289,
507,386,140,873,544,888,492,014,329,364,501,012,272,919,479,250,119,827,766,
694,046,314,298,448,619,128,347,025,198,166,774,170,210,260,064,575,167,821,
125,182,569,287,593,215,423,485,656,582,559,011,763,640,916,174,560,594,760,
007,622,906,931,637,445,010,123,664,024,398,258,470,300,478,753,564,833,356,
976,023,156,292,976,509,162,594,093,338,831,876,353,967,375,853,328,737,343,
676,289,244,275,741,124,631,638,885,387,259,487,042,792,599,658,506,771,325,
126,775,499,115,479,810,214,116,175,404,362,421,198,653,770,325,827,843,637,
557,346,975,270,477,775,247,237,878,700,321,429,393,614,769,242,887,644,854,
105,545,909,969,558,196,960,469,886,177,601,573,895,121,504,355,837,580,834,
537,911,124,080,876,036,271,644,902,028,931,092,106,524,629,763,202,753,284,
605,609,907,839,317,208,854,865,807,213,270,176,631,724,635,928,174,537,784,
317,097,469,857,520,768,100,397,458,749,700,688,939,298,594,857,189,867,860,
221,327,634,575,074,892,900,114,762,390,566,172,758,527,385,169,370,420,632,
640,253,635,529,405,074,390,645,147,700,490,908,741,565,820,885,057,596,308,
955,520,592,798,259,101,599,428,805,916,495,541,572,061,289,799,418,757,591,
401,627,811,650,875,537,588,413,860,238,397,133,667,561,361,163,356,905,506,
686,241,392,618,681,610,367,779,149,955,400,419,982,956,537,007,755,905,953,
729,794,904,546,389,418,852,045,365,526,314,520,943,490,148,258,697,429,349,
704,741,960,105,229,041,060,436,989,072,823,653,285,713,540,575,625,170,132,
508,348,799,638,118,200,826,100,337,907,148,679,038,566,278,217,508,760,136,
655,890,032,535,088,048,917,605,454,325,522,888,630,905,637,114,223,577,378,
631,972,894,434,082,916,610,483,383,976,762,593,072,664,701,184,258,507,493,
936,359,179,929,138,992,493,373,328,889,775,704,191,851,681,460,940,317,267,
091,953,354,540,725,896,842,629,742,696,835,385,131,253,061,603,850,503,171,
014,541,360,766,997,904,732,944,646,194,426,003,638,618,386,888,544,585,622,
903,591,117,998,873,450,407,895,590,594,390,136,305,730,631,163,069,069,798,
111,674,222,839,400,499,256,092,095,367,294,239,484,516,647,126,537,666,035,
938,249,099,628,430,424,258,381,084,535,720,529,386,287,086,841,320,594,309,
419,514,797,013,204,424,646,622,953,535,601,758,350,556,434,401,870,383,472,
357,512,249,751,320,280,206,193,952,657,505,319,080,070,947,466,398,753,494,
168,927,530,239,469,911,677,134,166,206,457,332,666,072,743,580,715,028,093,
336,444,388,392,580,037,242,557,949,915,227,875,366,679,115,132,489,900,441,
259,221,370,115,975,315,201,359,014,683,008,353,718,914,974,836,015,093,935,
710,224,300,464,662,388,829,486,400,810,508,748,511,798,467,899,060,972,628,
774,356,111,160,312,331,505,635,814,171,706,433,859,730,301,963,079,104,031,
314,174,066,633,965,161,447,410,757,126,864,925,833,003,346,352,065,823,448,
029,413,478,060,812,790,764,851,339,110,294,269,867,556,889,824,863,489,365,
060,447,894,464,313,699,727,315,679,539,645,335,964,544,920,554,335,914,150,
048,106,192,868,608,905,911,503,716,782,978,080,285,835,094,432,417,117,564,
067,804,861,390,678,324,860,567,568,599,753,173,025,252,363,810,634,522,531,
339,564,449,238,694,206,725,395,378,206,443,838,312,008,077,846,284,575,271,
305,060,039,314,547,105,164,437,463,642,293,888,625,535,226,669,403,412,966,
238,249,950,450,561,707,828,956,119,015,731,423,820,767,163,231,205,813,576,
161,075,862,422,832,554,299,548,415,294,388,400,964,019,987,442,953,490,264,
071,899,741,156,038,871,832,144,520,100,206,504,887,074,429,930,123,724,704,
935,894,063,942,642,245,980,095,647,487,789,839,339,768,295,817,553,815,221,
321,010,227,449,097,699,489,419,693,044,558,274,891,634,387,662,732,281,455,
969,180,101,354,255,880,545,755,686,550,912,182,005,201,956,098,223,630,282,
129,183,833,366,111,203,370,148,865,448,925,162,918,764,568,490,690,018,905,
170,855,486,757,970,854,086,364,541,482,340,753,239,022,965,512,013,608,336,
104,503,656,042,783,876,489,035,046,813,991,510,031,985,096,756,559,867,792,
899,544,017,643,811,336,289,129,076,107,221,399,459,658,981,670,834,248,110,
753,635,005,192,505,307,661,208,422,632,416,744,164,270,183,345,608,089,944,
390,516,642,696,507,409,598,124,490,471,097,911,925,008,590,467,038,802,575,
304,090,017,708,555,458,540,370,189,134,517,590,858,371,795,987,262,926,660,
486,700,792,006,414,584,818,137,065,970,227,314,555,050,240,364,916,917,577,
920,771,365,497,848,929,783,174,131,416,008,971,863,894,907,849,343,737,427,
977,743,957,974,147,286,891,186,599,643,995,273,906,905,429,751,573,420,361,
934,180,665,683,220,368,511,708,378,136,443,003,857,849,070,399,842,614,060,
138,938,886,671,931,775,545,405,810,460,067,792,773,584,437,769,273,679,834,
967,285,606,359,841,527,907,975,141,241,371,671,561,548,109,832,500,709,761,
074,302,718,368,483,663,994,750,167,037,496,061,953,925,573,555,158,080,468,
720,635,821,203,955,506,793,449,184,339,034,394,262,265,520,218,382,012,918,
378,344,097,130,698,565,544,195,336,577,185,638,525,043,757,389,618,420,189,
926,678,717,966,722,172,335,205,337,629,324,029,353,672,801,013,427,206,628,
750,586,517,588,041,090,767,283,598,789,189,537,660,686,285,237,100,149,674,
207,343,668,283,016,010,190,724,809,167,731,042,741,823,375,283,165,925,603,
660,833,893,586,417,795,189,693,897,011,110,915,880,846,433,275,100,127,453,
018,490,284,621,740,807,136,721,327,318,561,013,507,682,054,189,896,830,929,
273,599,186,178,464,102,364,513,983,767,189,522,393,275,433,639,131,320,623,
786,042,433,899,424,221,547,505,973,360,471,704,542,530,989,566,886,062,442,
301,422,651,550,845,188,153,995,189,840,568,030,906,171,909,363,670,131,819,
696,291,036,184,482,827,716,334,631,371,603,351,416,666,082,983,323,088,662,
546,329,882,633,557,818,405,505,827,425,571,172,018,026,145,069,381,300,175,
987,398,888,090,795,644,753,405,602,601,145,501,965,068,338,865,792,068,112,
226,566,751,297,265,379,291,607,731,828,970,918,212,088,222,259,654,777,531,
034,572,378,697,108,865,482,118,242,352,582,008,002,326,706,034,127,602,717,
164,050,514,611,365,133,935,543,763,372,477,003,755,255,277,915,136,849,046,
576,418,528,499,468,949,509,308,597,359,623,696,310,371,275,786,840,054,024,
768,138,862,903,026,219,376,350,590,338,563,122,556,616,669,269,571,863,442,
234,222,536,411,955,913,524,054,110,058,319,104,767,183,942,634,774,339,665,
464,797,572,314,895,729,822,784,260,926,705,150,547,088,050,601,359,303,861,
731,640,710,718,594,645,944,377,681,658,497,382,457,698,462,480,250,482,931,
100,691,896,451,880,427,277,266,167,664,449,215,012,470,987,444,940,749,315,
729,079,177,390,311,093,315,347,197,208,534,255,681,214,203,721,733,150,416,
145,218,193,629,636,137,942,137,726,340,954,908,940,196,603,134,102,834,982,
728,359,452,327,834,147,060,167,855,361,178,863,754,598,686,454,892,321,432,
129,691,932,696,550,494,727,015,507,066,463,190,744,330,945,812,892,965,327,
789,649,781,335,440,652,856,837,600,246,813,286,449,824,709,617,070,889,802,
132,611,087,448,721,434,807,048,284,731,506,458,882,953,881,147,371,392,633,
177,709,037,770,820,272,288,044,295,696,389,970,687,840,749,095,352,741,664,
017,987,895,097,725,556,705,573,393,926,617,540,834,109,018,068,027,469,819,
613,976,245,354,628,705,988,347,241,448,949,309,449,256,744,560,411,329,588,
301,838,890,252,331,654,887,312,394,162,823,160,431,762,569,680,976,262,435,
760,330,549,089,111,235,004,056,011,615,778,497,888,571,128,914,181,130,055,
883,212,373,059,295,622,983,207,095,647,962,065,356,078,565,944,336,204,674,
491,813,310,962,976,988,670,444,086,098,090,526,722,703,574,550,953,508,070,
122,039,907,066,842,147,834,317,131,288,314,563,150,283,271,978,311,942,874,
886,695,785,509,847,911,546,688,646,656,163,988,513,725,898,834,511,478,636,
400,420,773,651,722,310,125,253,268,430,479,078,923,689,485,155,939,829,326,
127,998,100,609,891,639,066,795,949,850,372,724,068,160,420,674,542,943,740,
752,212,206,751,372,499,031,007,543,293,550,584,681,751,110,985,329,772,419,
350,302,903,612,438,703,900,734,149,506,553,012,062,668,459,689,204,576,103,
092,891,890,643,178,282,151,666,772,468,608,666,663,023,291,225,147,115,643,
750,288,432,376,161,185,586,592,296,837,513,458,282,868,436,434,281,359,698,
737,863,295,255,830,432,685,430,048,548,166,563,546,185,040,597,817,029,393,
289,271,579,603,468,405,968,759,188,288,651,478,958,797,083,291,827,157,262,
397,783,117,716,088,324,552,980,860,653,602,678,742,195,979,710,769,626,011,
266,632,340,762,304,243,075,961,735,933,489,105,713,803,178,463,640,613,017,
304,185,576,392,497,883,541,781,241,339,312,220,314,530,033,382,217,849,222,
779,064,282,152,233,087,937,732,269,538,652,916,580,795,869,884,235,915,867,
887,532,390,454,447,374,327,596,766,306,015,583,084,515,027,309,195,547,895,
238,300,905,067,954,100,150,249,761,340,289,756,098,040,242,893,202,534,744,
052,876,270,758,577,815,348,400,719,948,437,255,857,987,808,630,945,722,752,
044,153,690,160,892,182,236,899,485,427,642,152,463,106,483,397,839,116,643,
776,108,789,053,414,544,261,967,842,771,273,277,515,599,764,094,560,567,477,
222,545,532,518,461,004,661,147,143,062,939,397,632,921,741,677,371,009,946,
223,283,518,199,411,845,739,031,141,061,506,866,771,820,248,004,186,012,190,
163,718,239,287,378,530,072,548,687,169,889,828,722,688,186,888,139,504,248,
103,523,304,555,231,886,243,424,439,273,428,439,854,165,117,851,627,719,686,
314,632,106,419,552,500,063,974,656,307,270,797,936,036,228,020,823,374,443,
804,884,315,694,444,654,659,356,977,035,710,741,154,061,238,723,659,745,000,
532,590,847,907,561,433,828,700,321,973,985,347,221,771,658,178,435,168,095,
110,787,475,745,434,718,934,364,779,182,129,517,865,494,220,530,389,341,833,
307,519,894,891,882,804,762,330,475,134,793,188,639,407,994,115,627,592,785,
769,759,138,798,505,062,262,951,169,812,042,473,422,245,917,060,284,664,815,
242,180,445,465,436,201,790,433,048,005,697,903,022,793,828,435,131,250,171,
506,634,336,011,474,836,738,440,637,675,024,955,296,410,407,160,188,964,491,
398,801,195,142,847,143,791,542,657,128,391,181,189,564,876,997,585,041,834,
847,168,535,135,557,699,316,933,143,164,399,232,258,742,865,907,945,139,450,
329,799,952,514,556,930,937,436,835,325,022,017,988,142,534,304,276,685,093,
521,996,536,597,549,545,137,701,176,479,279,492,741,018,704,973,636,910,458,
881,793,828,971,552,575,146,473,390,151,303,715,968,168,788,366,687,615,708,
204,929,412,516,281,354,940,614,072,956,824,624,790,957,687,664,238,494,877,
515,200,222,224,929,308,273,726,124,249,238,045,611,507,593,731,445,491,573,
125,429,030,590,253,150,651,280,585,071,516,849,596,436,058,922,240,045,367,
744,753,900,387,778,598,922,738,558,686,438,848,056,511,367,986,812,054,585,
813,226,453,770,003,123,055,696,768,581,556,373,374,497,100,381,876,230,739,
833,886,784,646,567,892,475,775,817,087,884,634,370,461,571,811,778,273,436,
712,971,394,214,978,835,540,855,883,784,457,215,207,235,538,323,250,021,116,
167,449,398,986,407,424,604,095,954,550,338,875,871,266,049,003,256,011,870,
259,714,512,645,450,372,255,547,878,581,014,506,533,986,481,019,578,783,685,
050,978,991,264,341,677,776,115,135,699,948,867,953,763,719,212,192,194,999,
349,475,984,047,826,718,026,444,828,398,827,931,193,712,493,055,191,907,816,
081,349,099,139,055,555,725,164,169,525,201,490,637,672,440,257,594,504,478,
122,279,067,252,833,256,032,110,740,780,463,648,620,488,738,341,858,598,777,
589,661,790,777,853,406,028,609,122,094,130,390,023,476,671,743,457,102,648,
646,890,701,261,036,806,002,929,439,643,113,559,935,458,700,174,225,689,706,
379,502,884,681,212,435,450,359,715,405,045,075,918,869,210,710,378,015,991,
973,097,698,941,717,867,588,283,022,511,616,096,178,622,090,730,198,455,813,
111,033,813,938,835,330,431,637,973,678,329,157,513,467,076,985,326,091,999,
364,693,671,174,316,504,113,302,196,938,008,993,145,298,996,431,995,147,484,
585,262,751,571,213,397,329,927,968,439,827,244,090,624,894,206,407,617,252,
428,574,260,573,495,723,546,397,942,338,324,960,068,612,933,685,959,830,109,
249,483,877,238,281,818,379,230,627,145,406,669,283,260,836,720,458,237,067,
719,858,704,580,325,733,760,882,124,888,880,061,396,887,685,242,019,467,187,
960,045,230,086,631,179,982,006,989,084,115,940,154,911,946,162,610,801,497,
109,647,981,599,233,088,131,628,082,396,347,830,575,425,738,892,079,699,255,
656,426,582,207,828,280,968,452,067,250,354,684,750,147,544,481,222,306,321,
907,993,627,404,752,755,696,778,354,764,736,329,481,989,581,203,580,140,944,
439,520,783,697,032,222,340,810,053,864,199,580,638,038,009,710,441,493,603,
028,659,193,070,119,161,047,623,979,404,735,841,890,270,107,621,399,381,887,
918,141,322,372,826,449,925,104,174,121,434,721,212,762,431,707,084,403,885,
306,842,468,252,655,898,141,050,883,837,577,626,810,737,459,911,105,271,016,
912,473,740,410,525,735,700,389,639,670,391,190,015,618,496,440,450,521,929,
824,090,121,898,560,512,067,971,620,441,736,089,949,140,722,284,239,179,690,
447,116,736,269,402,515,395,870,260,024,467,997,407,282,650,508,175,519,131,
772,348,239,472,289,303,653,205,622,789,483,754,607,048,992,162,574,757,331,
833,728,312,594,660,641,944,228,333,632,890,725,148,228,577,028,862,816,454,
380,927,212,396,572,555,011,603,150,524,757,383,933,570,906,511,073,597,987,
983,250,733,307,217,123,144,441,271,548,586,835,515,243,276,553,335,735,056,
434,878,852,495,613,231,752,741,825,993,883,744,532,206,997,927,163,072,573,
155,227,754,859,394,721,684,433,108,986,197,072,636,082,367,343,970,237,753,
133,998,584,374,053,050,289,978,112,399,938,279,238,606,514,693,843,236,286,
464,272,318,420,644,006,588,062,263,747,288,237,965,541,085,138,424,959,705,
955,811,340,295,165,225,468,663,004,735,574,637,766,194,462,785,559,054,287,
430,610,549,210,539,211,985,322,498,796,298,096,593,849,229,975,158,246,296,
288,512,909,374,425,404,063,042,421,001,894,391,616,176,454,827,786,741,566,
717,429,752,410,359,069,143,002,359,673,655,479,980,200,853,973,462,029,379,
788,199,781,708,592,534,704,762,325,236,404,236,645,116,546,302,371,162,058,
693,037,761,676,074,871,419,811,231,270,273,868,824,866,925,082,743,992,162,
900,026,105,016,069,380,464,918,191,899,967,102,720,319,662,408,107,904,956,
862,232,714,452,255,198,547,540,064,694,443,236,370,929,394,400,961,901,331,
615,133,153,681,826,094,454,743,947,944,414,573,794,940,206,559,218,364,024,
905,907,859,295,635,899,907,135,819,123,199,913,014,644,027,627,184,298,421,
029,059,693,068,023,411,618,430,931,427,049,971,276,213,249,641,180,784,794,
941,051,103,815,717,636,659,929,096,570,845,841,661,056,838,648,785,173,024,
522,324,804,223,676,304,243,071,916,666,888,962,344,428,438,172,035,840,171,
203,879,005,565,779,940,015,699,022,965,422,598,596,001,852,472,498,330,454,
472,516,873,064,163,913,221,985,671,223,632,788,778,793,614,510,385,298,028,
825,922,938,264,629,953,240,177,641,011,780,294,568,837,801,220,860,021,979,
679,019,987,008,050,580,763,357,960,488,780,074,973,961,199,492,558,906,993,
090,826,089,686,856,511,692,582,688,866,591,793,900,878,885,988,210,720,677,
885,506,832,941,394,894,005,688,049,515,162,711,508,736,419,654,102,424,988,
950,215,323,069,287,260,246,077,667,942,227,440,197,583,367,969,342,902,800,
147,824,828,941,076,431,090,874,104,915,610,856,835,640,480,215,516,847,809,
853,789,672,658,324,457,055,922,145,974,419,853,357,253,355,361,517,242,975,
094,112,195,564,272,702,604,192,470,733,135,140,140,562,147,160,247,545,230,
941,136,463,594,488,793,268,894,825,002,740,297,340,103,969,932,544,314,569,
716,250,218,968,605,264,480,766,864,462,076,989,851,373,938,500,103,107,811,
437,635,825,299,571,732,829,276,528,157,887,615,207,269,233,009,047,042,347,
543,163,302,998,773,160,775,334,908,045,714,588,843,025,089,153,392,156,880,
870,098,072,103,973,742,033,695,445,248,909,371,156,856,835,818,670,446,998,
622,434,893,112,836,894,219,768,755,627,195,235,264,923,880,803,276,823,707,
440,974,149,241,124,235,770,492,783,694,014,619,372,522,292,496,426,935,217,
297,087,762,239,724,333,530,902,336,686,599,292,118,373,101,391,752,267,855,
083,032,844,141,057,367,591,462,558,279,176,274,296,705,622,670,283,837,470,
857,414,508,459,661,517,700,414,806,834,983,720,075,942,146,032,933,948,974,
028,127,351,221,198,867,168,331,805,599,698,462,655,934,837,371,052,922,725,
262,435,527,226,075,899,393,001,956,692,876,036,593,733,420,534,292,386,476,
324,018,412,292,507,868,572,257,948,115,597,065,297,517,367,128,930,551,911,
895,704,986,902,787,865,776,756,600,778,557,110,132,855,196,280,000,507,403,
501,380,637,594,963,102,353,179,499,223,592,272,853,742,835,632,906,343,257,
690,326,792,875,953,525,464,254,191,534,692,737,126,648,675,442,811,857,050,
754,449,442,542,716,298,503,684,153,732,667,393,826,310,481,637,059,298,188,
002,299,520,094,595,260,884,408,453,366,811,574,955,203,202,150,767,431,948,
935,561,351,073,664,641,573,032,312,101,744,983,023,645,653,433,423,646,934,
368,168,924,231,368,093,877,018,686,463,851,034,193,435,181,322,444,147,490,
692,655,937,434,291,482,580,296,275,890,848,938,140,394,244,612,368,057,432,
308,616,807,630,005,056,408,017,900,250,213,769,535,718,157,611,185,830,350,
617,078,324,274,779,679,232,860,235,161,631,056,608,585,773,822,944,804,972,
686,634,123,497,570,143,687,004,848,707,077,645,335,169,687,457,307,666,514,
642,413,387,643,205,670,153,271,577,364,932,781,175,984,634,172,120,317,613,
107,333,041,089,447,581,044,669,028,187,978,484,781,480,825,657,448,737,316,
501,723,379,533,353,924,809,540,381,194,990,241,675,970,908,581,174,688,798,
324,196,514,228,365,750,387,096,206,373,809,864,782,959,586,099,047,368,706,
288,158,738,004,908,307,037,683,164,504,526,091,090,926,000,084,922,242,453,
637,922,514,276,592,467,225,464,067,662,521,679,759,144,888,379,441,034,519,
729,882,912,322,802,322,869,764,460,155,440,501,802,178,379,892,991,500,475,
727,856,416,365,770,484,840,550,610,431,757,586,978,876,147,995,959,609,520,
802,010,662,431,265,874,178,297,571,873,076,274,473,982,422,419,104,676,985,
694,073,443,910,720,013,249,897,994,889,390,884,942,083,358,466,412,388,211,
801,570,562,043,710,118,054,188,951,876,347,204,037,354,587,392,292,039,814,
201,093,646,350,318,281,850,829,092,952,670,213,145,540,431,665,871,623,355,
047,987,292,295,510,584,060,990,410,260,438,441,404,443,727,058,387,119,001,
031,174,719,728,447,739,776,910,562,662,768,688,217,863,472,875,667,439,509,
621,549,601,764,751,531,747,595,193,041,062,275,338,229,431,189,557,096,565,
816,744,743,186,525,136,526,463,119,285,916,795,128,741,063,822,671,744,773,
110,027,408,344,900,007,396,858,147,867,606,001,819,029,447,431,303,082,352,
417,467,068,959,661,381,065,465,785,562,922,583,198,028,917,240,456,510,126,
165,428,586,904,676,539,519,516,091,049,072,641,512,943,271,342,472,585,420,
132,104,999,011,452,947,278,804,544,255,611,700,980,916,757,213,640,470,416,
953,786,748,798,396,476,229,647,229,347,523,946,237,398,985,983,819,996,668,
234,446,885,706,292,364,524,695,506,841,701,904,316,009,297,901,679,921,735,
501,752,551,776,709,724,766,481,648,880,752,241,152,572,377,792,452,300,340,
466,142,139,121,648,934,210,318,499,595,291,690,117,212,244,352,255,949,689,
723,394,144,840,443,377,427,966,042,800,353,355,987,489,759,851,096,511,550,
935,376,525,068,371,889,690,127,258,700,244,583,271,774,937,503,485,635,547,
553,908,893,453,723,555,743,644,675,830,291,966,095,137,815,858,517,167,139,
440,820,791,119,954,398,119,237,472,788,667,775,482,012,726,869,845,321,116,
029,749,534,689,622,900,154,365,326,251,813,737,450,520,557,368,533,177,175,
937,135,463,767,503,004,868,758,552,566,402,037,636,620,991,591,947,768,636,
139,782,191,629,727,083,055,322,866,364,952,411,806,801,677,394,961,352,315,
466,154,439,845,438,368,612,412,311,696,884,588,994,154,817,856,308,680,072,
641,954,288,974,977,502,210,414,448,427,205,688,322,548,989,450,156,418,238,
426,693,030,598,617,060,444,536,314,669,592,864,190,229,342,469,268,815,049,
007,962,230,189,715,083,679,845,222,066,152,731,576,672,865,964,375,110,019,
228,942,491,568,814,414,707,412,470,500,576,321,558,629,433,484,315,227,799,
040,554,269,193,373,276,743,971,739,242,573,765,819,201,696,670,000,425,980,
736,240,010,721,600,564,305,490,370,441,280,529,140,394,254,365,555,681,709,
664,735,689,117,747,071,721,416,942,148,399,343,163,024,624,360,186,422,096,
568,666,529,867,776,969,135,509,205,611,204,281,774,659,254,808,775,192,897,
854,574,244,214,839,389,466,112,828,592,561,408,221,016,538,435,856,296,666,
254,582,771,153,120,510,207,016,285,993,900,159,723,029,216,182,004,003,233,
072,102,061,726,428,904,210,998,676,084,985,927,994,316,063,333,058,132,687,
056,343,137,698,607,804,374,140,281,782,486,187,125,380,599,268,930,140,557,
393,999,582,415,031,664,295,531,726,625,944,971,413,679,863,249,589,987,201,
269,342,469,920,012,610,080,205,083,738,782,410,925,501,644,224,712,907,043,
814,424,838,094,898,697,682,309,865,821,572,361,602,741,650,203,387,133,941,
435,679,525,975,446,416,267,599,921,245,427,277,489,307,095,485,773,854,543,
378,400,868,802,079,383,995,269,837,880,036,918,523,005,012,488,185,225,619,
620,635,153,398,989,111,187,772,525,641,031,628,238,196,915,183,716,088,724,
429,193,579,813,635,097,857,487,175,491,642,125,746,608,166,349,820,300,670,
089,110,394,604,778,811,020,255,443,861,289,682,627,945,888,156,815,820,665,
009,246,820,532,053,100,028,768,033,449,982,675,235,162,448,305,931,844,134,
743,143,274,497,153,635,356,956,877,043,427,735,963,563,202,390,959,468,571,
868,998,383,343,250,830,750,073,321,143,204,954,678,606,290,856,102,977,027,
828,845,328,688,899,501,720,390,830,551,819,200,491,666,388,602,645,033,650,
902,890,904,453,486,543,288,697,478,609,663,105,024,580,205,801,632,148,800,
076,417,428,796,768,880,043,890,530,610,895,226,830,731,414,278,594,597,409,
217,228,902,706,277,444,754,923,035,187,550,809,451,446,184,970,880,813,970,
432,888,352,258,244,630,892,324,771,464,517,556,475,970,129,366,724,313,565,
217,440,700,553,513,478,293,044,332,379,596,817,015,337,794,459,769,551,484,
308,379,361,202,843,188,862,527,346,905,491,031,602,712,346,847,493,896,156,
127,340,885,551,117,213,971,586,578,585,457,465,035,488,280,493,644,740,515,
346,660,694,188,569,810,563,140,092,277,400,169,318,435,674,205,527,860,206,
250,425,657,688,391,754,159,697,149,700,123,729,452,879,559,205,020,898,020,
806,592,487,574,741,021,448,968,360,569,713,955,150,321,254,724,743,634,495,
648,168,523,043,551,606,691,695,934,811,254,388,592,246,452,333,090,483,006,
093,784,624,261,465,896,123,249,055,434,145,013,424,624,628,666,325,009,405,
437,038,895,146,251,005,454,518,456,415,727,498,139,962,662,552,366,571,728,
626,744,542,574,004,608,781,615,006,488,561,543,706,987,479,208,089,216,804,
450,098,125,696,504,643,527,206,561,553,359,694,181,781,386,871,532,325,246,
117,854,974,243,583,157,369,131,649,658,549,893,889,876,395,549,519,332,710,
084,880,273,980,516,046,362,374,242,356,177,749,921,202,645,606,865,634,568,
944,020,426,608,365,112,827,098,608,233,846,798,645,379,927,192,239,881,683,
057,959,094,626,938,683,837,892,657,160,497,193,758,946,158,611,191,811,450,
199,582,289,818,523,317,330,753,580,756,836,483,672,376,089,500,442,192,968,
221,195,289,313,728,885,816,901,547,821,356,760,069,745,080,942,094,986,585,
393,822,771,296,404,987,298,115,382,892,008,880,367,289,798,544,240,469,919,
996,712,543,034,784,989,805,325,990,200,478,319,116,084,498,395,943,497,951,
800,733,176,346,091,098,669,842,747,056,517,157,082,866,104,822,183,526,347,
667,885,449,502,103,356,761,958,564,276,706,075,214,269,708,880,043,587,131,
714,270,152,905,245,340,703,196,881,305,727,266,387,072,106,353,456,245,278,
861,418,096,415,362,499,132,859,861,476,683,685,202,657,637,947,017,829,990,
389,748,330,447,058,912,772,141,836,490,973,783,376,733,290,721,431,910,757,
660,938,577,745,164,806,693,653,819,674,192,469,935,773,835,288,951,169,084,
305,531,960,973,046,890,042,059,344,511,342,319,598,395,853,368,289,973,185,
722,424,559,945,583,265,805,544,615,854,368,884,438,468,418,043,644,605,138,
122,361,318,753,297,529,775,051,014,645,500,054,774,309,279,457,269,183,163,
606,255,394,479,526,969,389,135,029,048,791,699,389,705,740,236,122,172,006,
465,013,595,747,579,105,419,663,325,425,387,857,385,225,935,418,305,014,242,
995,267,224,096,609,884,068,807,207,819,361,416,252,589,497,271,319,366,277,
454,070,177,206,585,594,130,723,576,815,575,614,886,353,172,926,326,735,853,
851,458,488,127,133,575,928,859,562,806,301,738,671,614,757,777,099,350,578,
583,904,440,792,670,039,384,117,536,104,367,106,886,070,862,624,907,714,765,
408,152,246,272,466,234,544,865,192,016,457,934,507,714,816,617,524,044,187,
216,411,028,175,042,921,429,006,133,200,473,470,032,412,867,633,795,167,984,
417,767,159,478,392,896,865,740,962,354,001,710,908,263,476,016,264,567,998,
082,386,830,421,648,671,924,360,022,819,905,480,718,208,651,736,822,363,500,
095,494,468,153,238,241,181,916,533,505,905,362,919,842,591,861,736,783,955,
685,205,196,199,654,025,768,595,470,873,947,533,480,566,420,124,833,087,394,
625,405,565,885,880,056,994,418,119,500,935,585,555,547,303,025,740,488,744,
421,187,329,535,833,624,121,181,016,488,150,567,075,692,448,113,040,535,817,
487,511,091,647,295,066,668,093,009,405,524,590,537,998,124,614,205,796,990,
233,480,606,128,869,450,490,998,052,291,288,353,330,188,431,293,266,864,296,
322,829,104,037,880,831,652,994,474,328,740,973,361,669,967,843,593,861,688,
829,461,205,952,114,256,464,003,000,216,688,485,058,303,440,947,019,218,472,
325,670,256,762,624,047,008,741,893,578,948,666,651,371,692,219,676,284,233,
161,738,018,359,311,767,647,671,356,608,415,313,361,198,386,079,493,799,746,
534,620,597,030,544,342,387,726,539,323,100,884,673,274,240,595,864,965,674,
546,351,607,841,958,367,184,610,208,308,440,205,121,032,799,552,988,643,118,
625,117,613,796,397,234,917,803,145,909,808,351,381,970,331,503,776,643,335,
192,937,471,885,482,584,795,264,525,342,203,543,074,733,831,214,767,878,253,
632,841,368,132,328,873,530,304,978,386,219,715,439,462,107,021,297,862,913,
550,564,739,729,321,685,872,093,808,876,780,824,348,762,051,214,310,839,638,
196,052,103,500,518,676,653,822,683,079,532,083,935,418,347,923,486,569,998,
990,182,611,184,914,418,847,009,569,116,536,544,023,348,092,407,100,498,741,
695,739,458,743,234,814,207,889,288,640,416,083,646,654,335,995,080,055,856,
860,779,293,857,844,162,520,202,496,988,504,313,560,046,496,885,059,833,071,
313,051,252,070,586,069,197,427,672,357,901,373,198,464,389,011,492,555,563,
558,894,179,409,106,565,282,241,023,194,767,727,560,165,138,608,284,961,411,
646,344,545,884,436,360,357,490,029,493,048,849,913,236,883,321,426,524,034,
854,285,983,105,119,728,502,787,712,460,478,499,503,916,481,890,827,164,707,
874,975,762,287,967,327,751,230,767,654,699,845,801,703,709,900,326,236,115,
816,931,897,594,051,005,879,375,548,697,262,087,611,855,269,805,142,274,684,
799,907,517,046,563,606,370,816,591,462,731,428,676,622,174,875,304,272,589,
921,334,007,536,601,320,597,128,863,493,173,461,260,764,583,250,811,433,406,
119,465,206,177,135,853,775,924,961,020,350,054,186,138,792,592,904,667,904,
107,648,891,594,754,209,628,261,595,772,412,424,786,441,366,267,616,850,260,
691,206,130,142,880,283,491,594,588,543,219,101,864,853,884,305,417,028,433,
106,814,778,699,839,070,453,004,198,110,894,224,998,996,232,342,867,190,035,
856,954,516,361,595,710,304,793,415,906,519,808,865,155,732,847,779,353,858,
659,304,901,478,575,364,657,058,265,699,396,848,932,095,996,615,484,406,546,
250,400,995,197,787,262,599,298,006,136,553,364,174,446,680,802,616,560,087,
675,568,648,717,626,175,370,332,849,194,315,218,714,602,050,321,392,505,300,
357,585,629,388,832,223,672,542,678,846,371,268,662,024,093,855,172,200,005,
156,541,577,599,342,161,293,252,635,080,241,770,464,059,614,205,208,281,981,
152,346,732,730,158,858,084,222,249,833,577,094,566,050,533,633,450,102,522,
306,021,138,858,336,092,194,387,181,115,418,015,481,700,286,817,363,631,806,
937,322,676,906,729,982,087,581,553,590,684,277,706,587,009,893,157,390,497,
303,557,865,871,723,822,018,385,530,288,846,652,561,266,763,021,581,987,556,
819,723,101,358,549,619,955,425,765,524,901,851,842,188,897,698,543,962,983,
755,969,747,727,978,287,330,263,223,539,594,470,929,847,474,732,657,388,767,
305,486,589,773,008,119,942,953,744,450,001,313,066,221,789,898,635,400,671,
733,219,309,739,973,217,978,338,116,320,724,236,587,658,755,017,899,087,422,
916,827,768,565,247,685,938,044,102,736,456,236,404,815,739,618,136,441,096,
762,378,853,611,783,113,745,218,041,017,475,870,096,405,890,700,418,261,937,
754,768,857,904,389,117,703,783,289,018,452,515,367,574,046,706,653,109,891,
922,359,737,747,899,529,900,786,070,430,593,656,614,734,465,315,235,171,772,
375,839,810,070,383,853,554,309,953,038,176,792,732,287,839,612,820,553,163,
703,176,985,717,669,565,712,563,260,842,834,481,345,232,744,752,166,483,417,
149,689,017,515,353,179,630,339,920,621,242,918,126,938,311,684,299,622,310,
754,910,493,135,016,493,414,756,030,398,225,285,164,017,412,412,365,848,310,
156,966,203,371,433,061,773,528,664,652,449,164,836,660,001,458,815,907,786,
203,936,365,111,462,872,690,387,458,145,776,049,284,122,188,703,699,540,882,
439,524,039,326,853,664,272,337,109,413,903,450,410,888,130,880,439,852,061,
860,588,767,905,735,271,846,112,748,241,792,050,973,565,869,428,797,035,584,
435,158,920,124,391,628,219,537,596,004,084,208,767,444,196,044,038,913,566,
346,197,745,665,497,331,740,306,648,363,619,396,481,086,944,884,309,880,331,
613,880,788,807,351,124,541,795,207,519,214,804,834,509,507,766,874,827,847,
964,313,312,633,578,599,560,327,023,424,134,824,284,916,601,247,882,711,521,
168,636,861,514,770,532,071,883,174,369,989,682,504,069,332,481,116,709,759,
534,840,834,212,573,660,331,739,430,526,857,642,919,164,809,418,166,745,585,
257,269,677,794,176,105,659,254,118,401,946,981,307,652,667,370,303,200,988,
392,063,159,847,086,767,099,509,129,602,227,240,173,039,291,255,012,702,753,
998,387,358,240,322,621,311,972,293,197,823,022,048,588,364,063,449,337,939,
661,134,726,609,987,179,577,458,598,893,231,179,434,124,180,250,005,174,761,
964,106,947,251,119,196,960,191,207,633,406,455,687,262,058,715,824,306,670,
442,076,704,052,911,815,432,056,264,967,959,080,040,575,723,696,995,253,627,
355,111,762,981,291,758,020,631,026,131,675,019,565,465,437,658,181,923,202,
057,752,711,684,448,781,906,456,552,007,936,072,705,938,867,096,267,864,654,
927,155,193,228,794,740,273,066,931,901,033,956,279,193,581,495,499,673,432,
577,117,274,500,802,843,822,876,182,491,802,663,813,769,189,573,567,014,133,
601,951,411,954,188,093,856,418,662,433,932,629,051,986,777,753,885,354,361,
486,971,405,416,219,226,443,679,996,231,001,356,498,304,712,862,647,649,095,
430,853,446,353,934,496,442,346,721,258,117,602,541,560,419,510,909,047,433,
044,562,199,233,208,092,635,498,137,773,469,213,022,944,979,028,891,909,842,
872,393,373,227,470,207,320,423,048,932,996,592,846,221,531,396,479,597,951,
466,260,952,521,311,687,747,623,858,243,863,212,987,569,073,055,032,126,577,
585,076,181,607,784,316,892,047,613,469,546,824,429,645,479,924,449,164,729,
171,372,378,984,126,292,321,714,583,067,342,621,399,342,556,452,739,109,316,
413,166,033,657,948,089,078,355,135,805,274,185,017,725,197,794,022,141,028,
343,967,039,488,367,009,205,340,895,748,290,398,473,420,337,682,958,310,974,
259,485,805,853,542,633,143,188,734,061,028,786,578,390,953,629,064,191,427,
945,173,365,285,332,698,927,707,189,431,307,104,037,271,110,664,913,331,818,
741,888,435,616,559,316,344,991,327,280,180,955,190,657,557,946,869,001,472,
209,223,806,254,592,368,926,549,024,177,061,351,856,891,758,125,299,160,153,
975,121,489,592,553,807,586,614,743,471,316,511,664,108,497,499,370,157,850,
916,212,665,793,756,845,473,837,284,976,657,803,430,753,775,882,427,565,855,
152,322,620,892,408,495,488,638,706,375,702,738,715,875,304,915,515,431,397,
486,791,927,359,241,322,397,961,744,574,180,495,233,081,272,808,948,054,886,
734,347,770,923,901,935,775,837,502,756,013,538,527,072,982,504,373,963,387,
315,975,949,921,677,562,840,145,308,494,264,436,466,621,519,627,144,069,328,
716,627,629,195,263,132,406,521,558,199,829,704,393,629,286,694,746,533,032,
125,189,834,353,399,631,864,355,615,723,545,088,897,841,467,285,847,661,861,
689,379,280,850,982,950,311,201,572,363,323,157,971,683,771,222,290,414,772,
375,343,791,792,478,628,000,566,279,462,745,242,934,560,931,972,982,813,839,
771,829,161,561,485,342,152,131,787,773,408,667,032,674,515,458,682,661,306,
523,030,146,607,176,224,465,559,843,189,850,629,172,594,438,712,466,091,387,
134,042,988,549,125,064,298,790,625,474,300,157,903,896,400,126,880,875,291,
593,771,333,315,230,031,748,660,579,678,754,938,372,103,127,510,281,884,188,
145,772,484,747,481,040,814,254,633,253,819,887,383,184,378,896,059,149,863,
066,391,403,453,433,126,636,477,302,922,176,525,009,100,047,738,982,527,585,
539,371,052,298,287,069,896,184,118,875,978,138,937,672,079,263,401,638,627,
448,766,393,387,483,918,786,812,019,485,316,394,458,446,540,969,444,169,100,
877,237,247,034,696,876,339,167,782,896,858,458,454,504,620,745,053,324,563,
521,532,310,387,474,188,976,907,063,593,607,023,564,785,749,091,778,965,384,
312,091,239,199,665,547,142,550,260,789,543,929,260,773,205,816,054,500,297,
126,588,176,975,166,967,248,903,331,288,403,784,877,392,616,480,663,335,607,
818,448,302,356,423,088,601,977,063,734,634,889,082,324,039,824,487,223,719,
282,431,759,362,738,011,986,983,919,306,580,575,436,812,057,032,765,280,096,
120,827,464,511,133,770,033,470,986,146,216,295,837,421,753,041,306,058,397,
855,476,130,375,496,892,599,060,954,440,085,704,052,833,648,062,427,341,723,
845,180,796,665,713,953,865,089,822,382,434,979,793,218,060,581,859,754,773,
149,800,418,889,995,554,752,044,085,900,047,633,303,270,599,927,737,694,054,
598,126,618,057,618,732,941,469,830,754,228,290,193,619,420,989,386,850,095,
245,385,245,349,955,597,555,083,166,954,140,066,919,399,520,143,768,239,458,
192,857,640,555,393,254,527,925,600,795,189,097,487,104,923,183,644,485,703,
321,474,035,481,146,133,892,102,008,212,553,228,760,729,977,598,234,498,691,
905,640,793,727,085,297,665,185,670,527,828,125,998,484,677,785,703,051,751,
065,350,806,173,224,867,526,473,062,288,707,866,626,878,405,717,341,146,870,
786,822,432,830,563,388,097,225,102,079,306,436,006,398,963,382,998,360,190,
021,679,055,810,566,958,188,273,482,483,067,782,364,641,922,378,345,810,766,
210,890,338,841,015,144,500,601,329,857,675,950,936,093,348,064,681,088,874,
095,918,428,669,763,670,743,251,124,024,623,351,779,807,426,898,498,231,236,
350,968,106,387,061,050,516,413,724,394,980,388,425,629,338,567,805,334,957,
092,775,647,546,122,106,289,161,922,075,418,317,386,885,713,808,641,003,719,
046,256,209,548,084,453,768,674,185,718,912,086,401,433,818,511,859,335,847,
716,046,709,608,860,684,002,158,695,307,824,959,839,483,061,233,183,452,378,
309,287,224,111,075,768,918,192,319,824,739,708,970,940,001,972,625,241,959,
421,782,835,479,159,030,204,684,217,271,883,634,530,174,402,203,166,786,007,
610,636,461,977,256,127,438,215,914,862,792,029,785,615,435,418,300,150,262,
917,966,601,431,526,234,649,826,044,770,568,629,490,389,481,943,554,354,736,
407,946,641,836,639,482,457,824,723,639,875,889,607,779,354,284,477,487,986,
795,437,754,834,137,058,817,680,799,718,919,433,614,606,054,388,769,161,612,
746,531,793,186,015,893,655,009,565,232,059,828,322,404,150,263,705,238,996,
022,814,374,696,561,461,065,011,588,595,796,390,561,870,718,210,593,399,411,
705,038,045,509,633,224,240,959,265,324,031,819,816,994,152,532,745,354,101,
612,640,854,049,194,050,053,637,859,007,920,121,855,271,577,122,828,219,190,
328,693,064,628,948,503,064,077,329,420,090,583,792,214,159,305,536,918,340,
716,161,306,314,750,175,607,359,729,736,737,734,453,201,066,465,801,294,356,
810,706,739,356,270,734,062,400,174,224,887,355,586,416,348,574,994,721,625,
249,101,472,641,921,925,147,878,237,532,689,902,621,435,736,168,898,096,952,
635,454,643,466,804,560,134,860,599,154,945,655,257,533,818,086,452,678,682,
424,758,376,910,377,576,684,898,428,775,152,363,872,978,479,524,476,341,374,
770,983,975,352,694,815,215,805,434,504,461,455,945,829,358,528,453,780,650,
513,967,089,091,287,561,449,457,237,328,030,715,236,544,703,292,305,849,376,
305,801,832,589,986,521,128,326,146,155,422,712,915,757,029,268,658,619,560,
722,959,993,326,460,442,855,270,253,812,957,532,282,008,135,947,743,566,713,
020,684,004,455,399,322,764,872,091,802,271,952,666,349,000,600,943,654,814,
879,523,363,472,979,418,047,117,616,722,879,886,989,324,036,135,807,703,955,
710,715,285,812,354,571,686,111,313,091,714,337,362,465,851,761,576,085,472,
585,914,440,430,682,357,401,685,343,147,912,203,921,375,082,829,942,491,301,
854,492,782,218,112,165,711,703,826,642,861,983,198,315,877,031,783,152,796,
617,784,683,552,448,748,136,439,614,016,926,748,030,991,540,735,900,509,758,
794,951,469,662,769,070,976,446,978,906,252,021,086,778,107,989,822,891,512,
298,184,552,068,216,102,559,813,001,989,082,494,414,008,625,607,625,666,166,
567,956,014,248,341,011,131,655,145,064,638,973,419,390,035,489,814,174,087,
966,464,284,657,934,785,948,766,657,330,521,768,747,016,307,311,689,324,844,
205,442,583,242,464,783,060,203,841,725,392,849,521,525,046,086,614,419,272,
120,443,860,911,259,367,318,941,063,267,368,484,089,496,645,928,191,294,017,
936,550,593,294,386,786,740,034,106,603,234,992,561,562,983,905,627,031,861,
130,044,701,631,876,281,732,365,383,185,296,604,172,987,604,577,799,467,233,
750,792,476,815,589,204,553,253,190,378,058,861,314,462,288,106,098,421,155,
579,052,773,904,778,598,337,861,033,228,845,873,637,890,875,066,970,201,037,
412,657,133,539,515,045,752,021,628,395,817,948,137,855,314,850,959,445,244,
283,563,910,988,971,322,548,274,134,476,757,925,584,922,796,404,632,222,845,
048,060,834,200,801,235,101,730,241,586,657,229,567,286,557,833,917,389,496,
979,934,516,810,106,139,928,247,944,581,799,836,173,290,139,083,020,311,615,
424,035,311,961,974,524,926,304,814,170,290,366,607,176,143,020,865,850,217,
885,953,348,525,990,030,756,343,670,569,434,200,278,106,665,288,073,441,852,
594,076,489,258,721,814,899,710,804,378,658,817,662,966,681,940,655,421,929,
479,927,990,917,518,809,778,357,271,715,770,728,264,121,895,095,281,268,129,
401,699,313,904,225,311,390,380,777,315,355,351,210,423,000,032,199,482,374,
960,602,070,717,835,841,012,580,119,977,363,964,878,776,309,092,156,124,043,
633,235,581,572,540,262,213,792,263,642,587,060,311,112,346,638,038,581,480,
119,715,306,382,295,575,267,053,637,823,512,833,612,420,172,681,826,129,750,
249,037,001,304,005,000,899,124,944,055,532,042,193,559,491,973,711,862,174,
282,110,128,839,003,949,819,978,233,658,593,227,846,085,284,261,121,162,943,
867,918,909,675,820,119,004,308,467,206,351,007,421,178,686,948,166,821,793,
745,074,293,850,640,293,558,500,460,267,499,188,716,598,605,114,204,611,013,
470,782,461,210,785,840,379,707,301,965,879,450,226,840,303,853,022,715,990,
396,117,829,394,796,554,619,009,434,675,438,916,663,853,670,169,936,919,023,
557,617,187,629,988,338,556,050,014,616,759,363,403,558,897,567,471,334,729,
991,965,728,760,763,098,678,791,410,338,245,602,830,598,025,472,904,580,806,
587,665,124,874,321,473,927,409,238,109,232,895,613,006,234,101,216,746,744,
240,536,379,835,967,113,852,690,531,954,180,902,146,342,407,009,782,190,079,
463,539,801,582,585,719,678,797,356,009,526,367,018,972,117,433,558,003,085,
489,243,332,689,363,406,938,140,834,016,142,938,900,277,757,172,947,909,466,
470,430,158,974,140,846,170,828,810,892,399,278,314,472,225,516,269,709,154,
981,799,927,948,292,280,112,268,151,334,914,670,447,636,014,581,588,914,738,
041,759,868,115,273,381,783,583,528,816,137,560,152,392,580,726,114,820,964,
850,236,213,221,152,957,221,923,106,824,841,961,240,734,164,903,182,018,737,
085,395,480,810,369,881,312,646,248,753,413,091,479,062,717,844,884,505,289,
688,382,911,153,597,605,722,377,038,039,349,438,882,050,257,747,675,921,546,
964,878,723,429,140,331,509,244,803,325,011,375,174,764,030,584,919,276,122,
565,997,955,231,370,221,702,849,118,075,247,202,301,482,631,274,224,596,272,
863,630,760,292,421,608,347,370,363,993,869,512,956,324,215,268,800,918,909,
236,573,913,003,508,853,404,675,584,052,394,220,334,401,194,771,695,952,878,
793,549,607,592,177,923,388,007,429,144,336,292,996,738,726,691,503,136,184,
878,157,455,977,475,260,756,391,750,460,879,256,298,999,075,476,422,411,546,
104,567,264,235,358,880,383,225,142,829,083,725,606,268,079,603,191,081,911,
594,275,319,189,783,056,399,141,423,435,480,307,292,893,422,816,941,789,267,
637,015,115,706,301,241,491,480,988,524,420,117,318,696,966,732,333,672,796,
193,721,718,181,447,549,060,830,234,991,649,900,594,025,990,897,654,683,121,
102,271,726,889,293,581,423,570,605,900,208,982,648,077,718,558,749,694,428,
817,564,362,041,370,751,032,718,098,766,583,851,789,868,246,605,537,129,838,
339,236,566,255,218,720,196,803,187,278,073,581,047,461,718,755,447,509,483,
331,640,896,994,288,596,799,480,788,140,665,555,833,060,003,022,002,405,692,
069,019,927,226,416,152,063,144,069,061,655,803,708,668,628,025,961,665,154,
461,826,904,732,264,774,355,290,842,246,160,533,335,286,201,633,400,476,845,
872,478,091,860,152,087,180,535,217,332,223,780,804,298,839,447,208,387,718,
938,591,007,156,806,254,000,198,468,686,950,884,982,594,087,392,459,152,617,
530,909,848,668,793,986,736,180,728,621,146,306,583,610,798,355,991,137,341,
890,040,322,143,057,970,868,532,170,332,245,028,153,819,080,376,177,289,018,
782,194,923,547,686,403,693,779,636,487,529,743,773,033,257,353,090,792,353,
377,914,816,263,359,381,985,605,179,982,871,017,337,415,085,566,632,363,487,
173,637,290,540,727,408,959,784,483,527,432,657,222,681,575,070,679,384,240,
661,802,906,966,691,432,809,403,770,135,564,987,104,660,802,272,279,174,928,
550,572,413,751,275,321,205,810,880,019,597,178,263,373,782,090,745,157,830,
855,387,979,573,044,581,973,137,961,858,141,489,921,220,023,967,420,804,077,
959,631,291,883,958,893,202,002,226,525,785,666,410,881,958,307,821,506,290,
064,362,701,960,158,321,428,821,085,456,832,021,805,760,487,973,862,695,240,
238,128,323,424,793,423,135,474,761,175,984,528,655,982,004,286,425,430,825,
159,858,331,568,015,752,672,261,951,075,742,340,386,441,740,011,904,654,846,
191,644,722,939,099,853,210,475,628,909,320,995,359,735,066,505,438,706,471,
260,579,002,932,811,155,927,724,359,552,640,859,216,061,984,283,636,225,186,
083,895,203,278,923,471,896,439,018,125,868,985,295,034,166,552,220,965,822,
910,306,539,982,812,947,263,425,267,024,175,982,897,461,284,110,448,959,571,
970,322,135,019,552,913,118,121,078,325,256,941,500,768,665,668,202,669,422,
456,057,136,134,430,831,368,296,652,648,955,515,795,081,478,293,700,483,289,
237,146,184,717,687,809,058,207,740,686,324,760,685,534,912,809,302,713,687,
181,836,267,961,696,701,953,458,485,265,194,374,880,138,410,384,354,829,457,
380,245,680,417,758,388,446,218,407,399,301,193,272,848,991,339,986,720,009,
254,525,541,168,922,689,909,473,105,128,188,962,600,552,699,280,786,599,070,
384,374,651,104,006,732,003,413,994,692,011,497,501,994,903,375,541,865,823,
914,168,540,802,305,260,406,230,693,002,373,910,087,143,101,505,987,064,319,
866,236,041,827,490,919,283,603,728,978,348,466,422,858,916,553,014,570,048,
453,126,795,482,154,427,725,949,050,071,074,915,819,666,816,998,746,565,302,
636,585,475,703,264,523,897,048,092,184,835,379,555,120,079,064,812,538,855,
651,213,166,954,413,587,504,862,699,026,437,505,084,947,325,480,156,014,033,
934,118,583,476,647,350,087,104,864,378,811,952,486,004,150,947,957,106,341,
261,760,959,479,069,409,848,283,282,364,555,131,381,196,603,935,344,355,681,
619,203,733,682,063,368,069,699,816,420,802,109,141,311,870,500,285,553,766,
408,712,759,112,987,941,718,191,937,118,520,482,640,496,291,925,938,367,616,
275,147,780,081,691,195,538,324,212,551,732,639,968,465,310,446,203,902,533,
062,219,176,442,382,064,429,105,640,887,535,600,362,257,845,152,393,929,274,
621,712,544,473,787,063,372,589,078,647,202,192,047,652,949,726,495,641,014,
496,200,557,937,377,000,740,221,944,138,534,356,122,666,878,204,236,275,817,
799,816,089,286,384,251,960,779,177,796,682,855,968,344,754,972,242,142,470,
667,471,576,621,902,825,577,851,220,924,354,714,889,072,269,512,857,130,160,
821,955,086,665,922,696,326,894,092,956,484,586,678,248,337,245,764,011,190,
937,388,657,716,612,320,135,251,080,434,631,708,838,446,735,307,900,157,951,
912,131,494,039,518,606,620,161,722,351,776,486,491,678,114,255,210,921,226,
077,805,658,602,628,998,929,367,817,112,871,840,369,178,273,245,423,588,375,
166,293,910,367,044,267,627,927,805,824,429,440,635,652,980,551,181,045,065,
824,374,237,727,964,960,864,451,208,001,564,307,807,458,364,713,258,041,093,
057,116,267,014,908,750,356,640,872,349,750,361,077,158,780,658,553,346,917,
513,458,455,453,895,937,711,779,238,113,312,984,646,582,782,199,712,577,850,
754,117,122,945,956,742,859,527,502,971,748,793,267,043,979,127,499,604,005,
016,312,241,304,453,539,635,805,955,219,894,400,550,366,116,592,904,238,668,
142,787,915,208,802,302,409,881,413,548,933,844,788,406,669,714,446,797,608,
614,405,710,152,351,557,120,028,671,893,325,469,529,700,292,042,658,607,893,
689,601,401,969,324,099,674,210,770,070,819,224,175,677,876,629,126,817,636,
499,389,078,590,063,639,914,200,374,179,873,493,035,840,610,924,308,930,478,
415,964,706,931,523,602,373,745,970,016,286,008,887,435,869,624,874,980,440,
832,223,472,368,192,985,989,908,734,079,785,662,566,479,492,219,742,856,799,
922,285,161,430,037,087,453,292,009,396,066,716,577,955,936,727,568,624,690,
231,269,614,939,503,269,453,275,744,728,048,545,553,973,307,344,670,116,118,
183,531,585,590,576,569,306,814,816,947,922,688,946,271,921,265,149,229,665,
269,888,308,228,300,689,845,145,050,018,843,302,328,726,575,895,357,828,639,
660,239,951,824,507,858,530,490,823,510,038,969,722,934,278,686,550,059,371,
375,885,451,806,113,470,446,289,784,952,756,539,251,835,032,786,135,058,694,
044,161,459,520,499,121,643,981,632,036,696,097,718,255,532,245,392,875,857,
557,746,079,915,601,900,755,839,887,621,602,187,691,574,025,821,597,722,792,
005,648,980,203,187,238,010,950,620,375,077,932,466,481,630,674,936,217,849,
985,261,994,173,517,933,921,104,951,680,007,869,197,151,949,053,184,925,260,
812,697,789,896,516,006,788,662,641,843,438,362,010,100,508,807,976,140,046,
736,206,762,141,255,932,880,447,861,271,379,450,396,332,787,964,365,064,319,
542,338,415,297,743,023,032,959,004,571,947,925,249,385,644,354,064,091,064,
168,049,933,472,054,453,099,849,734,728,668,836,906,478,768,120,158,482,738,
267,612,985,658,015,878,828,974,172,105,633,917,773,049,031,662,422,892,303,
431,828,707,267,471,824,368,066,088,441,853,194,366,341,765,830,527,394,193,
306,258,823,183,184,296,686,352,037,639,720,890,911,318,444,307,699,695,299,
821,412,999,580,970,331,839,940,586,673,489,644,731,391,745,383,265,683,759,
612,654,116,772,940,884,644,509,870,396,818,078,556,002,412,614,729,285,112,
575,272,898,253,630,570,321,188,764,978,808,660,395,341,981,735,500,433,047,
903,745,071,041,053,908,292,838,812,650,443,213,640,950,085,492,417,152,116,
849,294,667,583,258,850,246,473,070,887,210,345,679,343,469,374,281,258,030,
000,559,253,097,489,857,648,199,618,292,657,090,931,469,206,977,191,900,935,
476,482,840,227,457,127,700,549,529,589,795,301,215,592,063,522,640,540,815,
482,625,360,121,294,987,337,269,113,951,097,233,965,581,677,548,483,110,093,
704,739,156,214,252,777,628,806,204,859,048,224,551,769,292,166,525,418,100,
290,226,217,725,898,257,305,262,853,475,806,571,277,822,530,333,186,791,531,
764,986,083,030,909,139,416,328,306,025,905,831,672,323,971,836,697,198,523,
118,004,152,378,293,284,817,695,421,632,275,293,450,158,899,072,293,445,246,
283,927,774,165,265,898,840,832,753,391,628,410,638,228,971,199,864,458,323,
879,175,079,139,873,675,903,384,230,249,261,597,019,292,908,687,708,112,506,
267,653,078,353,039,651,569,928,035,116,440,587,412,096,945,543,042,516,005,
572,604,326,295,716,090,486,486,521,044,357,242,111,838,224,497,374,101,570,
557,207,036,256,691,977,261,348,636,431,552,935,443,967,166,708,821,624,577,
964,224,867,232,986,483,572,125,899,073,686,902,533,720,631,743,491,281,669,
427,196,426,477,860,232,175,422,333,903,436,762,262,848,630,339,391,532,450,
681,339,209,368,957,361,203,511,562,277,185,341,827,694,261,164,245,074,013,
799,548,790,548,992,174,830,496,666,316,261,939,273,037,924,210,787,391,515,
211,217,607,859,483,150,090,468,044,583,010,440,189,190,060,156,209,309,903,
787,461,011,220,028,879,590,130,365,718,631,909,060,510,610,872,694,569,356,
828,642,502,228,644,725,208,404,731,437,615,558,171,490,838,106,682,131,129,
352,389,745,778,670,445,215,515,110,112,654,029,714,425,547,318,986,822,978,
768,990,490,359,310,783,817,264,304,808,453,639,849,219,942,601,421,473,452,
276,841,027,988,473,598,106,623,048,427,711,830,567,485,021,693,231,722,236,
653,178,939,803,014,552,074,853,764,316,692,032,728,530,944,643,365,025,903,
612,481,638,948,931,923,198,236,036,508,736,761,080,166,637,675,269,978,221,
548,765,452,350,921,400,038,474,972,583,083,876,079,810,786,893,247,112,345,
179,248,885,294,161,508,227,048,559,767,427,113,129,023,384,270,530,738,447,
289,833,911,493,497,725,067,330,046,413,745,336,811,983,836,907,124,265,809,
027,139,052,529,509,732,119,364,443,288,517,646,242,008,358,260,935,501,430,
341,178,422,347,163,494,612,954,063,505,312,715,411,873,153,390,477,482,180,
211,442,736,404,950,434,517,158,633,652,609,092,669,387,932,684,178,245,289,
907,555,859,069,760,828,363,946,786,544,382,892,562,585,860,313,489,501,381,
411,320,141,385,167,636,020,497,484,451,903,340,201,818,087,648,944,879,912,
720,673,448,609,411,263,844,468,182,377,969,031,341,860,220,496,222,796,118,
532,720,368,359,374,472,541,379,617,066,804,427,934,739,972,793,427,434,207,
395,287,126,493,487,202,461,017,539,262,051,536,529,863,490,972,475,404,851,
783,338,333,156,564,869,509,460,709,035,898,478,019,867,706,159,122,748,418,
389,688,215,672,502,408,252,235,934,539,948,350,821,738,110,549,533,554,679,
952,528,363,331,482,799,611,413,022,554,238,530,206,327,973,428,359,288,082,
793,131,223,525,399,111,001,597,911,991,275,429,689,755,377,366,812,862,384,
528,278,001,967,487,908,938,725,965,502,734,762,930,591,594,071,027,528,860,
083,682,910,177,405,748,507,390,174,502,431,256,629,209,644,835,871,436,520,
181,203,984,726,361,946,280,380,280,265,758,263,931,491,085,789,480,434,846,
944,802,776,655,154,484,918,576,289,700,789,677,115,536,032,666,849,613,604,
026,080,929,728,683,896,559,481,510,117,172,766,041,756,884,201,892,449,958,
837,807,105,913,545,244,882,516,663,370,829,961,822,330,255,870,235,495,427,
561,524,992,813,070,462,757,601,119,460,031,080,319,801,243,821,113,200,459,
811,276,749,143,951,138,156,710,214,823,042,225,440,817,962,796,990,458,138,
469,551,707,124,990,639,315,869,330,840,487,147,947,509,140,649,956,486,835,
905,080,433,759,115,131,339,328,952,790,552,174,077,150,764,417,074,764,281,
508,304,788,104,733,233,912,775,943,309,635,344,930,057,761,360,080,916,394,
917,498,494,109,434,204,827,384,382,338,206,091,240,036,220,003,264,878,898,
081,229,109,661,645,036,532,703,853,989,874,188,280,481,720,312,948,653,412,
126,890,719,933,180,301,978,510,728,569,388,563,705,592,938,005,547,241,546,
616,529,529,476,340,073,005,792,319,779,664,555,144,665,707,525,537,149,112,
778,484,018,705,233,203,076,675,407,273,228,678,494,539,898,786,927,189,966,
247,604,884,325,863,257,185,038,113,552,915,836,406,624,983,461,209,559,926,
318,488,743,719,595,160,389,611,114,280,878,640,806,349,507,550,870,634,931,
314,468,573,915,354,880,674,215,373,186,224,050,650,901,528,107,653,337,786,
130,453,606,885,495,330,819,683,227,907,423,035,233,302,875,111,989,274,697,
951,484,258,035,965,315,565,795,227,088,538,841,030,217,113,951,427,072,683,
929,113,980,655,569,351,842,832,716,587,661,032,588,210,070,094,939,754,521,
534,309,208,863,322,332,383,769,662,542,594,106,132,469,360,689,812,599,622,
801,611,718,343,412,988,951,657,951,659,724,206,502,325,952,466,897,627,559,
499,442,376,285,045,441,183,366,428,990,002,473,232,280,398,970,606,032,265,
942,612,804,256,359,808,642,030,030,132,969,404,151,847,034,939,104,722,035,
440,162,956,308,058,772,333,531,626,639,460,037,189,103,682,575,448,027,094,
760,932,200,310,462,900,907,368,914,648,962,195,994,354,520,274,183,174,367,
763,096,824,805,996,023,590,856,273,270,670,127,733,223,040,788,160,471,251,
264,387,473,178,070,524,712,285,106,158,437,016,144,616,242,023,571,569,613,
022,799,151,073,352,200,704,851,992,179,446,068,602,514,586,537,220,461,268,
087,913,446,338,451,665,589,979,667,040,601,998,866,650,889,457,949,499,460,
020,860,850,341,911,385,173,117,865,821,324,657,529,401,630,157,762,323,657,
529,375,585,199,185,643,811,723,230,054,916,453,353,140,642,669,933,980,534,
892,394,621,859,975,444,746,259,110,245,966,017,678,584,897,741,204,589,859,
364,292,824,475,046,796,914,684,316,259,643,667,065,672,235,792,785,028,867,
976,485,862,797,929,844,194,601,255,702,203,821,607,597,889,146,185,076,206,
494,677,414,626,124,409,967,858,149,431,485,814,535,690,977,153,010,587,835,
836,461,957,799,235,652,969,520,254,973,203,490,000,698,144,281,457,205,732,
805,030,351,987,449,435,835,811,767,240,449,513,078,994,788,805,357,490,269,
327,578,351,995,199,545,024,776,893,570,824,721,217,450,184,542,771,311,744,
868,024,161,898,347,838,358,455,182,249,084,889,514,907,358,942,993,440,931,
330,355,218,581,978,479,920,784,914,340,276,094,079,402,222,374,496,749,742,
186,858,826,777,954,042,349,648,671,225,469,637,149,155,636,248,308,422,789,
494,237,059,840,684,204,850,594,508,924,580,257,814,769,264,027,677,712,146,
676,284,539,544,539,116,656,815,989,986,387,986,038,532,848,454,530,862,181,
952,297,970,112,833,991,716,111,589,014,563,215,841,021,215,265,281,224,646,
555,657,405,081,440,691,124,164,888,967,494,524,988,885,987,831,661,486,910,
821,082,765,698,965,821,151,299,517,746,711,584,840,734,727,450,797,941,116,
321,770,412,412,807,330,744,628,276,424,122,830,641,165,623,042,676,269,435,
837,217,235,325,424,170,541,340,815,560,035,366,114,123,675,412,147,237,152,
923,795,001,001,653,119,290,036,872,176,673,444,375,255,720,207,452,027,868,
149,785,425,935,132,880,173,735,633,470,711,833,634,437,466,598,780,537,440,
221,921,021,457,684,137,755,220,573,126,209,738,323,118,562,823,358,592,665,
641,245,842,969,174,051,776,292,361,437,294,033,813,846,113,983,328,544,223,
698,984,049,937,120,578,817,254,465,786,892,388,775,584,713,797,026,759,287,
646,956,670,564,840,771,416,245,160,054,273,185,308,541,277,973,940,799,152,
132,097,922,704,086,575,118,254,925,315,011,248,249,433,766,856,793,724,411,
369,366,947,736,854,333,577,385,012,852,249,267,169,998,676,544,130,206,274,
185,040,992,531,694,382,640,931,347,621,846,499,681,452,837,286,650,383,939,
637,533,210,982,467,062,563,763,376,803,979,353,500,610,939,747,652,612,406,
911,397,173,853,263,585,483,013,830,703,257,841,959,596,323,371,883,846,749,
009,005,762,433,428,222,805,058,792,802,599,750,875,641,193,002,201,284,084,
650,351,305,238,632,346,627,955,602,828,144,971,062,823,268,856,258,324,920,
260,403,775,221,919,748,974,225,650,018,946,462,914,232,618,392,642,718,311,
960,108,266,943,156,065,837,649,309,024,516,501,172,344,143,162,973,392,430,
809,739,320,959,333,904,256,565,494,093,936,431,333,988,755,301,380,429,489,
509,884,424,499,791,801,206,772,399,563,321,474,687,412,195,058,435,718,774,
097,615,119,650,832,573,736,330,492,770,001,182,153,787,446,107,434,813,558,
331,684,231,447,719,217,402,271,432,629,696,799,908,031,808,923,737,396,969,
688,045,793,335,553,853,563,977,338,340,456,847,571,688,611,253,592,651,753,
357,694,592,156,646,963,526,282,862,338,732,579,841,304,403,309,062,301,795,
792,988,295,913,806,786,892,215,099,149,748,652,384,206,988,303,411,888,800,
249,135,779,609,630,906,588,212,061,650,116,446,293,284,740,015,836,140,041,
692,579,195,889,385,589,328,350,645,429,871,468,232,943,387,998,932,727,960,
468,983,406,636,620,840,126,536,795,886,404,179,620,523,805,294,580,085,820,
443,901,254,636,929,281,070,170,404,747,303,244,024,189,225,750,138,159,731,
117,369,774,888,262,595,423,583,599,987,010,228,554,009,004,703,035,120,122,
149,306,369,465,402,776,217,233,393,391,601,859,447,969,777,602,025,796,963,
469,088,173,482,879,568,908,039,732,964,778,980,885,211,497,273,762,775,890,
696,870,926,326,722,689,668,348,663,387,337,723,106,074,296,722,386,938,294,
447,059,200,079,292,084,145,996,316,506,184,977,067,675,610,938,700,351,170,
455,834,223,390,784,813,473,210,787,930,518,971,050,024,717,954,235,158,137,
800,927,962,053,605,522,182,687,208,241,075,607,552,635,464,807,332,098,737,
917,648,190,791,496,737,844,274,330,491,779,989,504,931,766,992,893,127,602,
322,242,971,619,643,557,119,511,280,700,159,386,148,686,463,453,155,435,740,
469,937,817,756,699,044,994,922,025,111,531,623,680,862,488,889,542,049,916,
348,096,665,748,281,749,770,337,456,326,474,360,413,335,027,236,235,263,761,
115,628,234,699,828,598,650,313,300,923,660,330,934,687,680,582,417,876,295,
627,255,701,412,858,949,056,900,494,461,588,172,699,013,287,392,802,679,389,
559,849,619,752,679,455,252,592,828,643,177,834,830,307,337,512,080,729,370,
848,549,286,576,214,771,889,566,800,024,833,079,669,907,193,412,383,534,623,
821,682,550,946,957,986,366,111,110,875,294,044,076,753,240,584,836,337,163,
525,206,092,115,618,190,353,213,041,477,546,241,718,134,936,770,545,718,737,
231,020,588,199,437,220,538,956,513,450,484,812,900,750,581,350,623,868,661,
310,977,382,250,446,118,980,354,800,433,929,794,132,394,175,258,949,523,791,
490,330,401,397,337,666,393,091,113,697,042,626,227,025,605,764,678,711,919,
453,398,032,070,459,583,392,444,144,759,871,139,920,855,589,871,813,080,088,
002,832,346,676,986,781,702,383,672,311,704,169,727,165,090,257,410,460,735,
365,097,846,800,157,842,438,740,285,217,901,354,008,464,233,703,327,762,378,
132,895,065,099,527,578,039,452,275,292,443,054,299,810,079,183,166,488,275,
938,831,167,700,925,977,241,331,348,533,731,620,223,376,393,450,666,199,148,
993,936,784,448,940,021,031,246,640,417,879,398,336,285,165,568,239,273,380,
252,222,494,472,633,123,518,165,167,776,516,223,371,042,002,658,727,218,162,
028,870,619,067,812,524,566,506,653,611,444,787,404,619,847,082,840,706,983,
212,781,756,849,847,201,853,717,157,546,315,975,362,289,711,507,862,082,739,
156,261,525,506,439,816,105,163,920,988,441,269,158,595,353,898,910,406,080,
418,286,166,867,747,195,720,852,417,325,501,223,997,124,413,662,944,004,935,
888,647,452,059,781,524,999,837,231,544,667,182,487,629,909,846,411,055,404,
109,694,437,325,426,838,733,013,402,178,423,946,659,891,315,013,568,680,941,
853,460,462,763,244,157,680,636,098,190,829,637,396,308,926,605,845,190,674,
704,930,726,118,562,225,551,205,522,257,614,064,581,377,766,176,249,700,053,
605,102,913,612,163,522,078,966,257,141,108,432,853,714,226,023,475,341,466,
925,924,600,451,800,121,618,803,905,232,098,415,510,869,801,535,412,673,308,
928,032,303,581,463,394,222,908,517,718,972,153,157,122,059,537,153,424,685,
217,091,779,640,159,204,311,699,038,384,923,914,500,492,582,446,831,027,901,
453,234,936,861,509,176,383,404,630,842,982,565,118,820,655,806,754,940,185,
442,612,047,577,931,794,235,996,775,352,079,359,382,715,039,197,618,772,366,
221,024,767,100,349,796,899,778,288,269,877,871,193,777,203,946,986,189,981,
393,511,118,202,580,915,627,690,041,504,839,234,738,500,877,270,096,567,390,
813,435,997,986,629,496,359,483,242,856,494,671,165,649,947,087,506,671,131,
261,648,139,445,815,478,475,055,459,107,599,410,119,703,184,543,282,890,371,
518,836,595,037,399,973,247,076,878,513,394,216,390,366,627,926,902,164,966,
826,321,963,301,730,462,042,844,903,058,514,925,039,266,676,717,003,251,462,
403,749,267,721,075,649,065,236,318,393,633,596,959,309,463,500,939,861,064,
755,670,725,377,317,329,505,238,356,386,941,996,815,208,405,477,193,225,231,
059,665,618,779,525,703,318,714,019,718,757,243,454,619,879,418,316,191,630,
427,902,726,411,200,384,252,794,000,595,559,562,536,524,204,880,543,785,268,
853,698,196,871,295,999,515,735,417,943,026,683,917,808,824,601,177,655,427,
313,033,139,289,912,166,999,461,911,037,503,565,707,899,035,423,511,295,241,
301,507,029,550,401,976,002,192,774,133,285,493,560,542,090,761,835,361,842,
266,433,092,480,100,463,101,228,958,781,080,998,861,896,653,504,793,822,724,
328,925,151,455,603,840,861,642,758,765,366,168,146,274,586,406,171,507,227,
872,770,318,202,512,379,454,624,719,518,518,165,792,286,516,560,373,192,815,
414,642,654,208,951,510,531,430,744,601,267,965,556,630,023,154,487,453,273,
263,608,245,765,806,193,314,657,451,290,865,066,132,942,550,680,541,850,327,
481,057,816,227,494,681,541,665,358,984,631,665,280,779,860,784,127,938,001,
829,638,932,019,251,689,091,891,084,409,123,078,524,761,490,763,394,710,398,
695,130,078,333,719,115,856,047,203,297,738,254,965,481,997,851,132,918,250,
972,851,189,585,288,650,533,860,021,797,177,715,178,535,251,117,513,778,533,
422,957,500,227,596,909,076,263,640,182,906,038,859,574,181,015,247,844,580,
671,142,145,353,776,672,558,322,458,766,506,350,858,785,317,170,689,554,857,
131,233,108,176,581,170,560,533,733,566,421,847,939,522,373,138,444,246,347,
991,921,018,763,599,872,252,682,107,100,760,832,935,254,959,282,492,785,576,
986,155,033,058,484,207,288,270,381,475,635,286,482,395,950,150,080,597,613,
615,504,499,068,836,583,124,876,032,366,592,545,682,204,360,509,047,220,708,
389,766,994,789,019,953,977,497,923,218,372,629,059,793,501,299,999,535,657,
775,193,383,205,916,538,306,570,780,996,896,496,163,806,342,057,711,047,909,
019,585,484,537,896,557,886,945,219,971,093,407,711,121,262,332,788,344,846,
322,822,752,334,279,933,248,714,481,096,065,217,188,629,724,393,168,071,619,
522,184,524,391,375,027,245,618,378,388,282,630,523,195,182,789,629,418,648,
840,257,544,885,182,660,567,911,138,798,212,519,001,922,467,281,663,065,129,
220,731,390,164,573,459,909,045,955,393,412,880,531,620,799,241,337,891,339,
257,584,858,900,918,354,103,692,158,304,340,103,879,488,416,776,589,802,164,
181,599,564,590,451,877,632,350,020,175,505,866,442,955,391,446,644,708,738,
149,182,926,684,715,098,597,945,609,718,565,512,277,761,135,776,548,543,533,
123,694,935,287,392,147,274,429,022,780,056,943,646,264,037,983,482,738,974,
846,792,900,525,683,503,931,188,292,576,675,752,634,733,172,745,906,955,630,
441,598,795,832,538,512,321,964,668,457,781,011,043,806,220,032,945,020,157,
068,728,643,623,499,432,471,824,700,367,327,096,185,164,222,632,107,806,128,
934,641,484,220,309,039,273,891,775,587,425,214,976,079,969,686,333,217,606,
772,629,649,900,103,225,140,607,383,854,749,479,578,222,075,626,700,362,660,
680,966,546,387,052,261,608,040,057,690,838,643,540,856,213,782,915,171,491,
580,468,052,592,440,376,773,535,881,554,106,443,799,179,913,532,750,644,546,
624,474,834,136,436,370,903,361,020,230,704,144,558,651,329,493,122,423,746,
994,468,075,864,262,708,546,096,351,072,006,193,312,571,556,658,593,066,092,
765,205,035,856,895,257,220,302,725,409,537,958,644,927,123,473,885,535,051,
743,778,552,395,681,897,057,672,754,378,013,701,637,231,447,771,332,014,550,
913,247,379,387,986,594,550,690,393,780,672,473,976,268,736,938,392,181,192,
498,725,809,816,259,095,445,048,956,452,808,036,108,880,890,660,875,769,373,
225,449,719,052,927,427,530,556,243,282,633,982,980,062,380,481,946,258,199,
049,175,329,458,909,413,366,589,503,874,213,242,625,558,298,962,194,128,977,
957,919,998,207,976,945,305,317,423,862,797,913,406,585,566,715,256,339,353,
734,002,283,543,494,000,485,885,901,080,440,462,936,841,503,318,873,057,554,
693,683,109,477,801,299,605,499,204,328,900,377,577,377,708,377,164,746,295,
297,031,900,528,181,371,303,756,752,944,906,571,187,748,284,502,010,797,081,
494,353,420,891,961,964,339,287,169,818,947,079,334,292,183,546,804,788,112,
687,534,662,825,166,532,379,645,217,628,309,465,387,804,305,585,547,144,151,
944,987,078,288,170,057,870,691,931,057,884,623,521,076,048,972,003,770,731,
135,098,859,890,874,553,541,205,742,435,731,709,772,091,974,527,547,608,232,
041,438,333,429,327,845,378,613,889,165,336,060,834,180,483,112,932,263,283,
691,851,869,277,885,140,524,123,977,545,955,899,124,319,508,862,164,250,138,
457,173,589,603,680,229,092,790,451,316,648,714,464,058,516,059,738,614,645,
287,912,216,502,582,043,561,995,061,970,951,310,284,712,087,156,107,022,509,
638,004,797,599,276,061,186,421,945,521,976,614,729,517,129,989,225,777,502,
355,058,982,590,537,731,208,280,294,695,582,611,337,285,434,895,872,545,467,
673,655,565,387,618,281,603,748,346,056,637,739,374,176,817,360,317,848,448,
401,863,201,831,771,631,195,695,632,868,433,901,270,108,470,654,937,948,044,
551,070,667,775,575,720,782,243,675,213,949,735,226,172,917,941,026,315,204,
256,836,617,720,791,988,851,345,511,821,371,445,852,739,856,289,904,198,556,
699,146,533,649,484,663,235,661,069,181,292,535,585,317,273,611,735,483,917,
073,965,519,635,926,212,524,993,763,657,287,463,045,155,605,721,643,672,354,
467,802,632,262,818,822,737,113,802,245,650,718,292,048,820,053,101,605,445,
881,914,976,869,719,483,647,611,826,839,523,638,179,404,480,424,135,910,027,
162,007,615,670,563,206,548,579,621,471,866,210,543,808,891,055,558,528,218,
114,325,373,107,804,459,498,370,296,568,153,607,048,504,157,469,913,286,072,
392,644,189,381,245,684,389,365,636,992,622,422,825,805,797,055,727,866,613,
677,485,608,113,125,206,760,705,799,944,302,550,411,627,738,687,805,191,700,
621,028,853,027,535,234,827,503,751,612,708,834,805,897,318,342,397,178,180,
341,672,274,208,980,617,589,593,678,208,497,924,965,795,676,104,700,467,587,
450,992,850,586,166,709,746,998,894,549,468,186,580,734,196,678,590,530,032,
524,122,403,794,059,865,668,875,639,695,598,296,112,227,197,464,875,957,961,
577,096,715,795,586,446,137,408,239,269,556,046,228,039,510,754,778,046,726,
571,902,839,303,673,941,431,211,014,633,708,281,821,426,194,305,489,747,962,
368,191,887,604,657,971,710,579,479,872,652,803,341,072,693,745,296,607,437,
384,414,714,721,056,576,066,118,546,564,486,664,208,284,334,643,850,917,417,
357,215,971,834,998,178,981,036,550,695,976,651,342,272,882,237,868,853,009,
408,056,502,957,406,707,285,552,188,173,232,835,483,232,501,338,039,194,642,
177,423,398,425,629,137,299,423,924,229,194,343,388,231,901,553,604,825,849,
193,733,894,884,084,883,695,744,074,965,335,062,862,485,219,067,769,652,128,
555,514,561,678,869,923,213,504,278,774,320,361,897,695,106,573,248,173,619,
502,837,088,033,281,339,891,828,162,166,245,487,744,505,631,326,035,606,133,
699,533,727,988,237,707,647,617,709,585,233,825,436,812,951,590,970,408,586,
531,959,740,248,531,817,970,209,101,868,183,908,225,626,236,724,639,688,011,
032,197,049,876,159,761,934,128,442,228,047,179,692,961,460,233,159,667,341,
645,038,342,377,662,987,355,275,104,221,781,770,100,225,680,849,533,511,052,
689,648,360,358,954,982,780,856,780,474,970,356,575,677,164,308,629,517,332,
653,646,934,844,021,895,536,109,333,689,328,937,754,497,715,202,197,968,472,
335,004,754,664,985,632,782,796,980,103,072,553,945,721,558,063,719,103,730,
937,675,805,262,713,584,351,989,706,269,913,350,172,083,235,609,009,965,578,
028,015,406,478,340,669,410,771,943,828,676,424,044,955,377,824,162,460,933,
579,791,484,354,949,574,064,684,244,778,002,131,881,855,790,635,337,477,073,
996,018,703,105,988,444,227,160,841,472,167,319,809,455,273,432,366,576,727,
430,269,229,718,214,088,820,436,762,794,910,823,057,159,696,774,477,617,021,
962,392,111,585,703,990,209,629,335,493,947,593,235,140,902,929,917,099,600,
607,031,379,116,302,512,701,832,874,157,343,651,318,584,625,380,060,422,691,
476,858,618,371,292,406,861,133,382,097,190,698,550,788,826,893,853,962,139,
174,001,114,486,921,144,940,412,824,171,066,788,744,600,961,398,118,909,424,
469,406,377,575,661,680,458,129,154,046,410,459,373,751,434,633,137,781,617,
485,285,207,489,331,599,538,441,659,127,201,032,524,409,416,162,673,811,135,
883,914,721,025,638,529,816,102,732,195,117,247,658,822,706,012,734,553,626,
077,358,137,153,008,757,300,786,851,149,850,566,826,460,527,489,476,374,287,
222,526,641,237,451,210,883,944,110,750,756,523,695,174,357,334,550,106,032,
488,211,017,229,760,701,511,717,533,071,998,038,331,844,818,402,859,530,047,
356,629,376,526,140,581,842,555,523,894,057,399,889,607,627,282,032,862,687,
985,029,155,673,407,549,464,781,863,662,402,613,680,434,051,269,691,026,783,
832,544,968,278,728,399,482,366,016,869,133,317,529,002,919,133,716,182,277,
627,832,199,018,993,931,508,504,994,402,115,374,025,946,085,328,704,757,088,
068,716,218,442,784,123,671,118,242,870,891,806,850,476,127,146,690,288,960,
072,693,434,167,362,959,095,631,119,121,549,259,287,312,438,485,840,774,447,
464,447,560,640,802,037,373,463,209,019,274,453,662,063,955,811,085,324,276,
416,338,943,768,197,162,011,266,005,265,768,981,491,983,702,319,999,048,746,
960,061,517,392,142,671,453,586,734,389,600,131,603,401,012,405,358,265,949,
565,864,934,687,417,967,491,131,146,786,550,021,686,498,812,233,202,747,470,
701,712,866,923,290,180,879,682,891,041,207,554,049,621,205,256,081,947,547,
165,680,746,739,951,010,662,705,512,428,081,193,820,213,557,676,003,498,609,
008,800,204,583,262,608,470,159,331,793,407,117,871,303,327,083,623,451,707,
328,118,487,032,297,939,268,805,194,747,272,799,362,615,124,465,950,638,666,
035,502,443,654,210,229,527,947,791,384,454,161,764,594,349,777,055,633,436,
234,724,817,882,768,194,641,614,913,411,690,916,873,676,229,768,470,320,358,
310,102,965,208,979,621,480,797,062,247,498,619,469,149,966,178,449,756,008,
187,318,549,820,447,147,886,638,496,708,789,824,959,002,618,124,200,537,754,
921,918,764,865,103,668,515,585,598,333,305,994,549,202,628,716,382,478,074,
823,168,527,865,297,360,339,082,291,048,287,989,076,349,350,683,617,378,844,
802,809,251,964,516,429,316,562,297,416,980,956,359,343,495,915,828,941,343,
674,663,541,728,572,028,799,284,288,158,388,024,104,796,051,760,979,842,697,
678,935,824,958,147,987,276,480,818,960,947,814,551,274,847,278,169,844,255,
307,407,260,400,471,125,061,741,877,356,894,279,464,455,880,608,330,838,519,
826,773,827,134,285,619,696,085,003,409,573,570,699,292,155,461,987,604,032,
630,465,540,537,621,787,639,786,371,572,017,746,818,278,935,331,053,405,622,
409,000,201,466,015,837,350,747,879,078,940,518,208,806,140,234,867,274,517,
709,795,268,177,528,208,797,215,568,105,574,725,452,529,765,568,319,123,906,
675,876,623,317,501,145,878,485,868,848,872,951,930,590,297,229,548,428,700,
153,978,323,879,895,361,363,712,213,384,707,361,188,157,556,524,746,067,199,
923,447,741,846,149,207,245,970,867,030,942,197,032,046,088,172,174,279,418,
655,551,259,584,000,573,264,594,220,731,156,266,838,067,483,599,477,817,599,
929,883,275,480,415,073,988,726,238,171,848,174,615,833,777,714,206,036,771,
874,195,654,542,744,960,573,297,341,658,621,093,070,219,264,396,246,166,759,
977,948,790,997,932,069,252,523,324,243,669,324,011,071,441,766,451,409,042,
805,834,950,775,958,815,637,880,438,184,470,880,579,305,712,813,034,338,102,
862,487,094,683,561,430,056,750,397,533,572,793,548,342,239,960,075,471,357,
951,961,703,463,411,305,593,063,921,352,079,465,502,447,652,650,735,681,375,
188,401,729,279,332,502,312,443,524,416,156,550,656,037,488,653,898,746,186,
982,551,315,910,591,584,155,444,244,688,632,618,809,903,361,921,750,376,715,
625,824,542,185,119,922,404,071,065,398,764,559,456,365,751,781,284,294,893,
048,588,780,896,457,934,435,202,910,093,804,334,134,446,741,781,409,757,044,
890,673,938,332,737,391,093,274,426,706,693,610,267,206,029,141,774,284,348,
724,529,820,401,102,075,768,751,838,615,245,141,814,598,821,576,791,528,344,
777,193,618,305,873,405,652,107,285,074,961,097,093,000,363,678,908,100,243,
238,633,858,094,511,838,165,252,701,491,274,323,219,631,518,793,911,891,216,
074,069,661,214,444,295,313,076,564,100,004,642,534,367,617,430,520,651,256,
370,642,736,428,825,923,795,694,065,049,044,246,194,498,349,956,321,317,741,
493,955,484,073,938,242,820,726,363,390,080,282,614,470,359,027,008,148,006,
964,180,417,234,305,168,241,015,601,168,125,109,371,142,330,009,310,589,314,
952,241,606,453,778,477,439,092,554,469,534,887,608,313,338,644,597,315,556,
594,012,166,504,881,635,817,141,153,970,590,275,140,729,709,456,734,081,033,
974,592,672,288,712,315,991,188,763,427,569,958,513,917,096,760,697,004,167,
806,827,806,080,678,588,785,465,191,263,685,489,441,888,852,343,540,091,585,
858,064,035,016,816,589,301,633,288,161,376,214,395,458,947,636,318,950,028,
195,446,327,224,616,242,179,683,757,882,899,215,372,028,605,242,251,145,269,
999,072,575,784,083,077,035,212,278,098,524,619,300,372,697,819,378,660,789,
287,267,159,722,410,643,825,338,783,302,446,240,893,983,571,864,488,953,296,
462,391,718,557,228,030,801,998,063,140,693,871,171,569,511,191,724,224,313,
523,806,911,844,996,041,371,828,515,111,697,151,016,867,815,909,090,445,524,
176,532,569,569,962,792,728,601,357,145,814,229,843,429,485,336,705,177,638,
768,474,631,311,447,347,905,080,418,414,355,269,277,165,989,129,063,490,759,
730,763,324,241,880,141,004,777,107,043,510,163,222,193,455,659,984,888,960,
503,390,624,299,962,372,234,382,285,386,096,269,306,051,733,755,086,955,598,
311,398,136,901,397,342,508,485,256,127,148,501,786,820,848,082,231,232,872,
486,608,854,143,205,842,802,422,854,339,576,077,090,201,442,027,942,172,549,
263,680,118,064,834,402,417,203,051,095,230,481,450,264,061,317,922,340,424,
400,305,419,841,595,468,467,498,692,989,690,799,423,000,280,829,661,594,584,
851,832,778,953,446,576,396,121,839,660,207,847,632,342,777,628,666,166,122,
344,920,099,239,015,904,330,135,403,771,752,795,604,027,637,954,853,412,459,
654,199,641,399,191,121,797,683,739,621,954,640,755,142,293,765,823,741,982,
117,890,071,082,202,434,396,462,785,819,614,128,368,517,830,768,130,031,099,
530,054,576,898,499,134,205,812,716,822,335,708,142,814,288,723,878,455,352,
727,854,796,029,610,006,081,757,605,779,153,604,900,037,897,655,789,330,070,
680,764,559,109,946,545,811,416,799,263,944,254,769,583,133,147,451,810,736,
660,634,412,374,938,302,224,022,352,552,235,609,262,820,587,181,316,170,869,
162,137,549,031,260,247,503,875,060,489,698,225,676,620,627,304,204,046,752,
370,596,298,271,820,827,161,985,425,582,104,616,073,462,880,709,811,656,074,
612,278,727,357,183,373,024,666,983,270,543,666,840,985,298,143,970,092,236,
975,312,670,928,181,104,860,170,292,733,492,635,857,592,793,651,478,927,575,
735,286,633,854,870,333,727,259,162,158,465,612,054,733,503,963,897,771,668,
583,350,305,689,933,357,751,183,763,989,587,528,791,914,315,542,678,852,456,
740,653,052,239,911,755,355,746,617,766,374,609,876,292,923,279,821,835,782,
289,953,724,126,255,273,989,763,334,064,680,009,469,356,599,107,963,388,236,
754,337,721,855,626,058,755,063,593,947,236,001,284,102,263,254,054,118,084,
843,414,772,872,390,506,731,242,024,115,945,542,551,696,777,622,662,811,083,
885,904,671,439,637,784,410,774,747,510,225,586,602,501,002,826,662,809,090,
818,223,565,714,082,958,439,918,378,404,826,847,593,108,922,107,609,058,538,
804,098,296,835,211,771,516,812,211,661,883,253,054,620,864,596,506,937,018,
634,256,433,280,161,363,184,251,239,947,377,071,556,779,536,763,032,907,859,
984,323,521,866,664,081,887,367,873,507,554,816,814,172,326,983,255,460,459,
155,680,102,315,001,385,138,446,540,800,091,941,946,130,697,216,395,193,301,
502,640,813,337,473,257,703,378,452,421,603,859,934,200,882,635,473,210,141,
923,421,847,390,220,965,897,893,931,037,942,645,467,056,829,986,868,141,513,
862,991,714,789,193,041,436,724,296,055,421,554,289,233,254,060,314,733,292,
156,128,667,005,124,808,615,164,413,034,159,817,012,656,942,937,354,270,331,
762,686,818,161,305,274,346,652,594,846,740,199,873,615,891,431,910,470,379,
949,706,286,443,417,760,532,331,049,916,564,872,897,499,914,446,057,951,455,
810,329,781,102,759,276,791,561,920,652,361,779,027,884,167,432,565,596,087,
935,006,502,538,207,283,325,773,179,421,717,445,051,333,824,552,639,441,930,
004,144,147,968,704,620,912,678,761,527,827,124,492,142,225,150,931,271,664,
033,587,668,863,303,911,600,155,633,393,022,824,553,540,505,434,987,602,348,
272,587,990,087,767,675,187,407,236,657,065,353,208,416,584,389,245,283,770,
322,590,934,263,696,835,238,428,662,535,812,194,388,958,787,046,419,662,485,
590,236,863,334,464,125,536,577,464,696,723,432,385,772,190,809,827,724,580,
592,443,248,124,428,598,193,127,375,890,069,554,782,436,002,758,822,758,871,
328,848,930,780,171,469,422,510,299,193,970,582,765,718,013,771,502,980,547,
300,653,362,179,264,682,407,173,043,566,999,941,342,424,035,865,439,717,782,
578,563,939,982,686,954,096,847,209,499,620,295,478,706,567,192,828,778,206,
520,843,002,696,907,926,484,636,381,581,745,073,254,016,676,793,881,780,214,
042,409,973,170,609,707,950,678,359,843,576,846,708,786,889,011,485,092,435,
399,356,427,408,194,384,364,611,807,226,417,291,378,841,768,952,322,122,039,
490,618,382,743,573,063,692,437,474,093,023,633,467,907,305,906,807,798,282,
730,916,955,116,804,035,283,828,972,089,950,835,537,259,390,135,439,992,159,
929,526,193,431,846,375,750,678,972,497,677,675,889,658,437,769,721,388,192,
745,152,972,797,942,281,515,250,675,921,804,514,970,241,883,615,890,297,276,
660,158,075,161,967,084,179,195,377,621,848,210,844,993,089,992,739,308,934,
095,953,449,104,283,453,515,237,893,198,606,511,691,036,622,257,742,916,970,
412,119,038,385,053,082,800,912,909,550,388,959,876,526,115,691,037,866,828,
445,635,869,701,138,696,823,333,825,938,428,901,581,221,058,038,646,956,228,
179,730,898,235,465,615,418,971,344,956,821,732,430,267,991,193,307,116,744,
675,161,866,212,658,646,697,753,248,164,499,005,345,519,079,630,513,700,182,
430,423,803,770,643,824,228,115,511,677,694,233,446,137,629,966,237,375,337,
084,459,958,360,091,813,615,380,840,312,723,807,666,897,875,858,046,593,477,
613,759,278,716,271,630,055,821,396,183,953,385,637,886,799,986,426,048,985,
622,662,643,934,583,651,182,819,198,184,631,227,577,499,652,466,225,564,489,
692,593,042,094,541,397,900,519,119,299,526,141,641,908,116,533,937,730,850,
321,222,516,379,734,343,727,226,782,890,139,846,309,461,496,623,215,683,777,
860,144,267,333,582,265,986,486,680,820,864,738,585,610,142,832,547,677,799,
151,677,550,016,853,587,312,493,451,542,538,108,119,457,485,586,375,598,225,
078,356,486,271,778,338,794,117,822,968,015,452,355,930,359,730,442,378,259,
037,787,795,002,698,001,806,444,738,765,611,446,516,521,411,772,935,691,263,
531,770,669,495,747,338,311,465,628,482,103,876,869,161,280,010,478,772,543,
318,801,105,995,380,101,948,455,971,815,507,322,491,343,646,948,550,974,467,
354,298,037,140,578,907,878,582,609,974,319,774,571,417,439,947,727,380,996,
462,930,662,881,265,688,338,357,410,135,536,730,054,162,802,484,086,901,637,
057,435,806,312,339,015,714,777,016,374,095,926,864,377,096,607,527,982,046,
157,429,000,832,476,106,280,530,379,078,067,018,102,893,126,896,187,208,754,
801,690,023,241,186,474,687,496,663,870,716,466,930,451,908,320,817,121,951,
281,001,259,682,284,585,153,902,265,089,589,198,550,766,924,846,555,871,022,
205,553,179,873,595,294,828,028,330,986,780,708,837,008,300,066,314,929,946,
636,574,257,941,582,117,014,443,855,914,741,126,215,208,108,262,771,533,212,
551,272,153,779,640,907,475,159,030,851,422,828,398,123,484,827,527,413,579,
303,511,215,746,784,519,599,558,424,583,601,674,603,863,941,756,925,233,333,
986,818,960,224,287,399,332,784,161,505,268,076,247,423,495,263,543,860,207,
677,323,351,557,671,805,241,798,297,416,801,099,073,871,828,536,571,161,132,
749,281,523,213,516,516,712,206,554,917,371,246,653,169,429,911,936,427,974,
443,491,703,881,240,600,969,036,869,593,776,924,684,949,276,944,961,814,201,
855,062,344,326,650,372,372,928,943,416,670,809,319,420,153,537,588,424,130,
507,208,583,463,990,660,772,609,618,130,679,826,289,656,816,469,290,241,267,
307,209,336,721,200,698,549,583,717,906,621,729,961,102,504,227,220,762,426,
756,621,280,422,093,415,356,136,604,411,504,836,298,176,901,666,025,001,218,
704,288,405,024,746,868,496,754,362,433,015,809,868,936,323,443,286,123,022,
001,438,491,071,621,264,498,595,165,585,424,931,175,557,531,032,891,298,512,
109,339,715,381,695,706,505,127,497,924,529,772,380,971,111,662,939,942,621,
077,686,162,095,247,022,063,647,122,406,706,481,664,200,860,210,099,055,743,
666,654,366,810,335,735,906,389,795,280,489,823,113,633,511,595,458,312,286,
176,521,436,195,319,044,158,757,405,722,743,499,939,987,682,117,082,916,504,
573,473,186,999,338,316,801,469,108,430,989,833,801,859,426,544,083,863,348,
942,330,799,001,509,213,400,398,530,517,703,320,810,018,558,991,543,050,019,
856,133,772,081,136,505,862,426,029,948,909,586,138,027,585,915,331,142,203,
368,374,095,728,599,827,901,526,299,047,590,616,724,355,191,632,680,891,929,
092,941,533,595,072,549,798,471,683,126,400,294,414,977,904,660,840,924,094,
183,972,079,780,123,334,260,143,211,847,237,773,493,043,880,286,564,594,924,
973,479,650,287,967,325,858,909,540,079,738,983,662,790,465,615,985,086,850,
987,269,456,916,420,146,919,017,395,350,402,949,453,866,087,657,676,936,430,
741,783,306,317,888,863,903,454,457,275,563,761,010,381,000,615,407,192,280,
097,075,792,513,966,658,358,582,739,739,838,667,645,048,428,640,735,316,242,
697,470,077,678,801,111,463,327,578,664,482,546,050,325,244,632,601,657,889,
821,114,954,473,368,882,108,150,720,222,339,066,755,960,710,049,067,823,415,
130,533,954,555,260,304,156,410,202,705,236,169,779,907,732,481,328,829,107,
065,079,078,065,871,314,289,344,587,006,388,867,876,243,526,061,627,042,738,
446,028,776,601,631,636,066,081,234,064,613,700,129,383,675,077,652,427,527,
849,100,180,371,494,995,239,396,389,846,338,618,494,292,325,655,002,286,726,
694,455,138,485,814,923,507,538,829,115,287,676,773,153,742,764,728,262,740,
221,411,621,260,877,288,403,226,118,154,480,962,756,869,504,088,281,353,610,
515,372,258,332,993,044,503,698,364,606,309,088,363,160,477,092,968,597,800,
895,628,683,217,621,045,975,535,551,089,491,230,471,247,689,678,696,265,969,
080,921,975,341,204,981,469,132,240,898,948,681,432,747,035,632,733,787,236,
506,546,026,147,987,496,926,009,949,812,248,557,829,603,676,417,740,348,498,
218,962,257,521,229,500,560,074,458,765,875,740,761,517,966,567,037,032,036,
219,630,991,583,402,021,501,043,235,206,160,129,722,778,165,740,438,923,729,
621,486,907,950,706,166,783,023,655,572,542,509,199,330,710,665,055,314,144,
893,068,763,280,289,710,352,641,785,588,995,574,471,890,037,551,184,925,344,
665,311,935,302,396,444,942,901,528,551,142,093,645,862,925,921,197,040,329,
959,443,973,584,784,638,968,350,719,803,625,566,146,779,690,244,215,788,987,
343,293,023,719,594,338,925,805,043,518,206,171,992,155,340,660,695,488,147,
694,294,433,333,229,246,123,368,042,691,857,158,731,734,786,630,012,241,631,
965,895,306,903,735,201,460,273,924,840,856,380,205,674,660,140,009,307,298,
848,463,564,318,367,125,344,450,216,072,131,951,751,478,436,274,898,677,822,
811,412,508,621,753,741,904,261,862,315,050,865,548,245,512,348,430,584,181,
591,972,129,942,741,425,747,329,359,142,794,246,237,762,540,322,243,205,165,
430,886,210,034,685,583,343,056,675,776,396,438,043,591,138,152,759,775,518,
128,092,858,520,776,399,517,888,497,585,080,692,965,436,891,000,854,177,105,
967,290,665,545,798,005,973,925,560,319,816,233,294,967,978,741,631,114,245,
946,771,458,605,756,001,421,343,258,830,896,390,861,198,888,436,517,528,287,
602,210,333,551,201,557,313,891,896,953,496,015,678,987,107,146,254,320,084,
584,887,649,364,323,613,465,599,157,926,724,655,673,299,664,017,026,772,193,
197,592,639,640,238,413,215,448,777,265,455,405,467,928,489,430,878,812,630,
130,073,566,741,456,604,498,755,573,302,020,162,272,954,715,095,657,922,118,
451,433,406,599,350,942,201,671,066,771,544,756,279,949,389,829,743,789,126,
466,979,435,049,104,815,002,371,372,968,753,004,080,907,476,324,583,429,278,
461,575,049,254,111,744,537,863,514,545,230,666,839,335,809,399,867,279,505,
884,416,454,475,492,965,731,970,046,658,153,161,576,742,547,094,927,267,019,
530,937,732,396,689,020,148,801,732,380,742,493,371,787,761,876,132,555,251,
165,709,299,168,767,086,965,495,180,399,779,537,219,289,159,093,411,546,023,
814,372,460,561,689,986,664,768,040,633,021,782,421,423,773,828,270,380,885,
161,617,113,476,571,225,000,682,684,754,274,258,731,326,269,421,138,698,348,
374,630,413,224,220,530,868,923,485,851,753,692,378,749,458,916,100,056,919,
988,260,790,728,641,498,084,781,884,267,224,430,979,866,106,464,114,817,702,
296,999,681,144,944,460,931,969,062,079,936,372,221,844,178,467,389,704,868,
665,059,243,336,117,239,616,544,812,801,923,221,762,332,711,425,752,640,178,
584,894,437,910,519,953,977,911,179,447,509,690,382,650,006,311,941,804,863,
336,863,455,831,258,605,888,863,868,458,152,397,522,575,286,879,818,884,714,
773,021,132,507,194,465,667,360,928,416,312,774,439,776,229,392,234,184,286,
423,002,295,244,189,951,074,628,368,780,977,273,366,806,300,508,008,531,664,
349,578,293,207,388,641,478,469,294,614,625,144,792,284,898,700,286,613,351,
423,489,442,272,010,004,562,339,674,458,432,490,998,272,372,943,340,949,208,
709,926,227,704,956,816,240,280,525,828,688,858,461,734,590,259,090,296,025,
633,107,466,636,660,226,764,303,068,457,781,963,044,814,659,926,417,260,307,
026,917,189,500,602,227,701,092,466,757,595,219,505,406,002,144,568,856,912,
820,331,771,154,841,858,782,957,106,259,851,504,213,686,282,262,257,553,554,
629,045,142,816,200,533,935,898,019,002,138,642,210,860,689,263,323,211,668,
100,422,575,522,168,753,430,441,230,596,122,980,731,272,901,576,612,300,909,
831,617,850,985,564,614,082,148,282,962,199,536,934,514,652,579,997,424,090,
234,227,381,489,206,540,751,222,287,296,156,217,590,012,327,224,308,910,495,
025,939,970,767,923,700,136,726,803,830,061,911,096,284,447,130,467,506,384,
076,363,020,860,495,826,374,713,378,540,749,007,836,660,857,227,690,912,721,
374,350,393,276,931,314,119,646,514,841,118,340,383,423,361,812,903,833,420,
905,348,159,900,172,582,956,720,046,976,912,217,770,867,896,123,343,715,618,
738,296,328,943,731,165,571,660,331,432,181,094,037,614,192,243,216,809,448,
340,608,137,542,018,189,961,789,505,232,089,800,725,080,438,967,162,968,938,
389,959,156,512,017,441,478,322,648,405,448,800,222,055,520,839,806,536,491,
540,541,328,560,988,730,234,503,515,098,741,931,636,262,519,398,344,200,775,
588,495,886,896,111,652,738,802,018,824,089,661,813,853,388,475,373,311,475,
856,159,799,954,969,287,442,907,179,233,135,815,737,916,924,425,908,733,563,
465,050,159,187,277,258,795,514,261,304,660,980,817,358,986,550,747,152,311,
271,556,030,644,537,568,641,331,129,254,866,614,028,340,906,065,164,599,962,
109,079,629,799,126,528,457,372,387,125,687,333,516,717,404,616,882,229,059,
329,705,238,902,060,282,265,140,375,557,772,179,420,625,156,185,576,179,587,
738,657,424,315,476,223,520,121,785,919,767,975,961,644,501,681,684,865,501,
723,890,459,378,955,475,523,861,889,761,649,871,828,340,185,290,765,496,351,
854,878,303,074,892,215,205,692,938,789,897,542,849,565,519,270,817,111,072,
317,081,368,124,463,798,061,749,234,170,601,106,562,933,583,574,505,398,165,
358,324,068,703,309,356,455,096,327,844,191,897,302,442,867,438,404,947,261,
945,927,972,455,929,792,822,288,316,579,801,036,475,272,795,618,964,381,226,
750,518,889,620,135,321,380,715,615,408,400,534,679,070,015,527,294,375,049,
143,015,292,067,219,002,247,823,502,597,018,108,519,326,776,191,739,695,801,
836,048,232,962,352,308,939,739,910,270,260,828,819,965,690,510,080,330,883,
437,127,732,690,163,051,154,645,707,355,214,720,460,852,143,331,198,132,451,
043,200,482,671,243,149,501,701,344,671,929,305,656,587,988,837,834,200,137,
895,223,295,876,422,680,787,755,262,647,616,219,882,332,458,343,949,788,665,
505,511,184,299,911,502,519,447,075,907,548,524,089,017,247,939,266,682,634,
831,842,307,093,222,320,813,952,378,103,297,549,096,373,912,465,387,645,772,
201,566,352,642,827,924,695,578,890,706,664,450,868,334,540,013,844,712,807,
017,234,448,579,073,301,781,755,784,932,727,914,271,382,011,327,101,338,977,
011,978,669,238,861,622,234,375,942,807,205,926,770,737,017,423,626,570,460,
117,923,376,132,383,809,084,593,317,123,275,270,445,425,205,282,787,225,705,
531,433,969,139,568,776,817,921,149,145,922,133,480,385,030,054,685,100,555,
649,235,962,387,022,878,327,284,705,761,743,625,282,110,759,733,041,135,124,
813,510,547,199,013,610,755,413,506,048,241,002,855,404,493,816,444,309,730,
617,752,574,688,139,335,935,197,814,180,368,775,390,883,770,190,768,130,308,
280,483,291,388,474,351,664,888,973,344,160,839,111,176,348,050,326,449,822,
663,452,948,455,261,739,313,939,557,616,383,180,472,877,697,773,897,637,212,
062,972,529,546,035,927,076,690,602,865,113,213,062,486,485,729,863,593,193,
372,552,629,046,878,691,656,870,898,470,583,317,682,586,244,094,145,899,539,
893,782,205,141,419,375,266,214,480,165,035,215,578,692,312,116,014,166,046,
989,072,933,264,997,281,295,163,291,520,225,345,017,315,516,375,255,184,302,
770,945,747,688,251,463,746,835,340,160,616,474,589,793,456,817,147,046,984,
469,310,246,502,532,979,865,349,531,328,472,010,210,004,290,241,751,934,851,
690,167,159,054,323,294,287,036,517,093,762,383,212,821,325,817,989,657,892,
949,165,317,711,826,483,269,531,626,534,979,684,868,181,644,484,885,558,685,
858,989,151,999,751,554,674,466,176,602,317,742,552,359,589,152,323,756,430,
175,776,023,562,359,239,311,095,699,985,250,512,587,373,460,183,286,746,374,
583,134,991,282,526,879,592,653,584,594,194,269,149,242,489,858,007,837,769,
235,046,473,741,554,639,583,327,862,516,171,852,607,573,508,364,488,410,440,
007,028,820,283,610,692,989,083,199,034,344,931,783,141,485,081,657,256,062,
303,559,834,785,492,651,798,921,750,364,854,167,323,447,166,227,454,089,759,
708,098,153,149,262,828,341,996,573,829,440,158,777,829,600,195,603,942,794,
607,461,572,911,309,468,789,294,323,470,398,213,413,145,035,875,793,385,265,
238,118,297,819,755,765,155,910,391,948,313,882,968,783,094,046,528,216,161,
539,190,533,540,542,773,575,628,016,311,183,503,779,540,792,452,738,145,345,
963,611,888,874,371,957,790,754,272,450,754,486,961,715,953,843,747,022,683,
994,089,873,280,709,347,525,658,726,655,404,111,375,398,528,608,214,125,914,
710,451,824,464,496,606,902,425,530,466,756,269,478,264,801,916,327,576,184,
844,880,252,617,927,260,957,355,263,414,214,972,908,324,191,809,500,893,011,
398,560,703,187,947,209,309,936,861,774,360,693,082,052,751,648,001,681,129,
876,557,691,663,758,223,876,931,125,542,025,840,774,012,013,669,061,405,782,
397,306,767,400,459,744,383,910,438,218,276,816,399,191,985,492,564,301,678,
518,231,957,055,133,689,255,921,969,576,009,692,316,250,323,850,096,957,447,
320,487,812,340,624,759,527,660,596,534,808,203,342,718,789,616,867,731,755,
290,806,186,327,517,688,296,336,891,569,628,686,809,426,654,635,166,736,810,
532,322,076,171,434,934,702,976,383,586,809,512,320,423,052,096,167,402,101,
671,254,838,091,762,290,357,141,414,091,109,202,811,748,031,233,013,941,071,
111,675,851,463,151,854,147,416,035,610,761,510,956,148,969,838,012,961,747,
813,167,318,326,081,893,364,660,329,474,889,726,688,575,754,813,711,758,385,
891,152,426,409,320,966,021,058,156,784,988,091,370,394,222,375,054,435,606,
235,905,401,702,599,706,626,793,655,673,119,112,134,076,426,243,707,060,248,
476,436,302,244,034,665,059,519,023,355,829,043,492,769,488,875,492,763,410,
951,474,898,261,039,658,708,933,917,600,060,572,651,967,265,118,567,208,320,
320,766,848,055,463,973,045,688,824,196,304,017,840,526,025,459,717,264,182,
928,569,476,921,360,760,051,998,128,150,683,918,313,824,746,217,301,699,588,
977,845,733,037,711,841,595,033,470,251,956,240,321,918,352,210,357,632,588,
503,143,191,038,612,480,465,150,435,537,918,885,762,926,980,231,440,068,313,
442,469,837,351,072,748,608,362,968,289,434,142,497,578,475,026,137,818,046,
268,565,589,187,527,744,265,391,442,981,073,349,748,745,561,945,909,833,836,
339,833,448,275,124,259,931,405,377,409,238,028,121,961,697,990,263,141,774,
600,908,850,168,208,426,099,963,598,426,760,690,696,765,964,677,312,316,177,
772,064,646,465,722,137,163,632,907,864,714,613,378,246,448,636,767,808,775,
687,281,207,917,054,891,998,427,980,644,888,874,829,940,316,949,209,638,033,
049,264,289,104,822,831,065,915,403,537,541,394,167,862,046,456,572,697,984,
349,848,775,002,709,818,958,365,210,035,685,630,361,233,579,239,868,863,363,
225,139,694,760,454,882,791,297,123,985,812,096,972,338,903,062,181,042,953,
090,897,806,094,529,645,109,147,927,081,327,983,004,284,483,858,056,551,847,
183,264,608,589,744,814,616,790,011,057,440,509,596,631,012,200,649,590,757,
961,258,628,593,678,312,090,817,265,796,275,969,636,313,924,887,335,692,412,
114,990,957,214,959,690,505,068,974,831,552,175,212,697,803,562,243,985,714,
870,202,862,268,918,529,203,762,538,258,885,258,105,358,292,674,475,249,423,
705,065,636,669,418,705,186,698,506,657,909,479,719,324,565,538,777,956,279,
685,888,706,814,379,377,695,759,410,655,156,676,479,142,836,566,122,449,611,
726,361,538,773,469,116,696,250,477,943,341,587,481,965,769,681,190,080,615,
698,883,900,922,365,525,828,683,384,969,196,965,620,188,882,228,924,057,291,
974,244,394,325,871,310,244,914,172,605,332,111,978,293,471,677,468,438,096,
486,033,927,804,827,667,078,777,155,279,116,972,834,080,707,278,104,867,128,
860,077,362,664,765,753,897,633,798,173,431,345,744,698,714,529,613,105,125,
609,675,737,268,751,393,426,372,296,216,077,235,538,384,422,871,522,876,512,
375,629,137,233,873,504,912,898,946,288,261,398,867,966,554,550,222,397,496,
443,780,283,227,396,287,780,557,312,597,234,258,125,399,549,473,149,473,874,
580,695,274,270,856,383,518,289,837,436,508,645,527,990,809,713,846,600,555,
198,967,760,800,645,009,998,634,184,629,624,956,559,206,661,890,110,012,887,
411,585,971,035,542,373,875,099,189,549,281,565,174,831,014,896,375,036,457,
495,149,763,150,433,316,005,013,154,142,369,116,697,306,413,487,634,724,747,
781,373,405,853,873,630,444,512,002,262,963,671,822,349,616,718,457,046,142,
817,112,963,498,956,248,518,540,886,855,038,016,774,887,220,175,228,031,303,
828,962,641,954,273,522,392,672,905,690,533,877,351,237,060,934,827,008,380,
836,738,488,408,398,468,324,363,775,937,445,093,522,119,210,823,653,800,451,
090,722,771,078,663,961,485,077,646,282,909,923,714,013,142,156,105,699,527,
199,525,069,876,455,430,050,761,918,533,855,723,211,225,985,688,119,949,931,
848,777,243,876,667,493,999,177,984,918,258,358,933,194,579,232,685,859,044,
558,176,835,860,808,942,600,714,378,046,811,851,243,300,756,902,230,755,087,
706,483,252,880,655,919,053,153,315,251,956,393,621,388,203,079,733,307,952,
886,145,173,026,456,900,303,794,900,110,246,727,537,285,522,388,074,698,635,
306,045,504,564,083,310,847,206,204,197,020,232,763,696,513,640,155,539,216,
149,008,774,861,005,281,698,444,643,481,350,487,528,029,733,927,745,473,621,
622,544,685,661,351,185,739,815,499,403,825,571,193,045,220,942,027,909,994,
779,670,041,796,022,820,544,102,853,836,040,718,727,466,717,194,971,160,349,
068,886,465,311,396,834,907,626,572,523,356,512,796,356,789,474,548,193,152,
336,670,344,286,185,052,041,724,283,941,723,823,148,147,757,425,363,651,873,
452,052,048,438,990,790,751,346,447,028,204,379,278,853,872,058,100,098,058,
478,036,060,340,394,925,625,189,207,748,278,608,300,156,383,364,256,915,025,
295,574,006,482,048,197,866,418,968,776,264,405,889,582,277,212,231,909,992,
607,534,756,710,977,797,430,605,865,456,158,084,025,710,210,612,371,202,664,
901,174,687,989,537,263,955,693,070,922,976,185,099,157,095,452,103,333,813,
477,571,151,790,615,053,453,159,969,879,598,937,920,478,401,762,639,096,838,
678,304,039,892,044,480,931,419,151,751,963,604,675,535,847,419,179,781,696,
645,981,119,947,788,041,527,880,703,319,892,661,081,587,978,160,179,176,604,
338,090,696,176,794,055,542,613,182,642,761,567,057,280,290,511,875,793,728,
454,440,236,211,891,922,310,101,552,232,258,478,194,070,523,317,288,052,585,
963,467,341,272,074,507,453,586,766,316,230,645,438,205,886,859,792,929,081,
075,834,581,531,389,718,625,201,398,277,319,773,528,573,459,360,425,890,485,
696,132,485,372,223,440,510,245,258,384,055,509,622,632,632,520,471,651,986,
032,622,297,804,214,861,627,568,486,877,629,185,480,551,828,278,901,649,746,
761,044,394,926,382,483,285,816,883,263,774,980,148,460,912,765,570,680,479,
706,353,524,500,993,078,132,441,448,838,181,178,284,493,916,730,680,886,297,
559,844,683,435,616,044,666,165,416,015,920,442,134,738,143,727,952,865,529,
560,238,629,227,236,329,140,637,791,903,239,243,189,557,839,044,260,401,939,
961,495,735,159,872,574,514,093,055,214,998,879,867,910,050,579,843,609,560,
961,448,207,397,936,871,919,379,003,253,464,169,158,794,982,230,724,923,965,
997,210,508,692,388,724,242,949,942,125,981,731,349,469,972,077,159,284,657,
168,689,929,989,585,932,866,126,679,528,000,916,298,482,636,828,907,296,301,
931,714,661,881,184,094,908,643,006,824,918,721,141,110,157,856,470,451,786,
206,802,710,237,591,203,091,789,692,567,338,808,646,278,497,091,887,743,015,
340,663,265,856,988,997,431,581,840,997,163,115,579,132,324,467,675,937,915,
361,661,840,904,593,518,119,852,532,137,784,331,371,792,557,286,012,466,532,
959,762,390,410,041,211,649,726,404,510,580,374,714,042,070,512,436,457,953,
488,763,913,879,862,699,446,810,806,778,711,493,369,857,608,517,393,473,932,
037,738,140,459,897,552,103,793,264,025,711,400,872,553,224,403,050,903,653,
705,155,082,278,855,139,294,175,593,798,720,371,650,399,217,462,831,805,088,
651,690,225,839,881,087,530,217,118,357,337,976,266,664,844,756,135,533,082,
676,350,864,498,829,314,241,509,280,823,941,344,369,295,350,212,760,443,518,
170,186,311,768,722,198,762,096,814,907,010,607,755,081,082,485,193,996,988,
060,504,257,633,027,259,790,022,298,313,601,181,733,171,955,146,971,803,817,
842,590,897,076,204,884,258,164,518,641,126,555,973,777,516,209,716,910,691,
229,487,067,633,846,231,202,009,519,406,416,813,536,763,171,867,240,900,161,
757,075,923,534,966,715,993,167,062,328,178,448,344,344,508,298,750,640,958,
558,227,518,687,989,253,346,652,455,602,115,778,157,205,181,209,504,719,730,
760,278,950,522,361,806,938,998,415,464,283,806,043,934,518,172,669,356,186,
307,733,594,721,009,757,069,603,382,082,570,095,598,652,409,603,944,854,890,
358,613,741,400,530,802,067,942,932,323,834,457,182,102,579,359,331,473,681,
090,625,178,907,233,338,244,028,361,647,824,684,041,471,491,551,444,942,128,
926,660,531,574,826,321,940,868,508,189,480,562,098,367,064,458,379,117,044,
504,956,775,002,364,266,738,090,431,781,687,897,599,899,384,826,470,149,029,
909,940,757,844,722,045,887,775,619,957,813,048,679,480,784,939,567,704,675,
849,739,600,006,963,499,026,971,756,539,244,258,462,724,149,752,199,652,070,
599,064,585,632,135,376,887,459,827,554,896,740,553,889,394,253,342,300,134,
504,536,172,775,435,318,853,762,229,900,021,199,490,546,231,513,493,409,314,
476,530,789,504,298,179,494,109,418,840,351,721,499,453,980,387,782,669,876,
630,421,875,086,617,714,235,072,137,376,561,131,860,731,133,102,185,769,916,
404,901,783,981,586,724,140,829,444,910,815,679,146,333,565,944,563,722,513,
036,403,066,449,648,170,047,317,905,670,643,608,446,386,515,492,329,738,865,
034,890,811,958,441,488,659,638,941,534,324,271,854,495,420,064,736,577,561,
025,168,535,582,050,373,473,372,497,258,165,599,412,908,406,353,768,786,325,
604,419,335,709,688,410,959,352,377,677,114,435,043,834,938,173,848,759,431,
555,594,153,485,131,363,973,551,283,394,137,375,567,969,390,124,823,375,919,
103,017,462,915,940,320,860,054,498,151,855,670,586,873,376,640,635,359,561,
902,645,018,359,310,212,552,187,828,995,656,862,801,008,466,995,529,182,597,
185,970,738,259,656,430,427,575,691,329,660,965,002,077,607,844,868,052,334,
157,795,417,899,099,178,351,755,134,787,625,883,894,048,996,474,358,271,003,
332,514,177,898,496,472,197,636,578,910,597,998,935,642,423,502,460,752,300,
692,181,363,383,533,376,551,512,028,353,148,045,038,391,430,550,706,364,107,
873,018,960,798,213,674,975,928,996,082,068,817,517,132,337,737,415,553,505,
947,283,004,310,434,363,429,332,138,809,904,686,006,069,046,904,676,460,628,
908,289,848,506,231,754,762,102,743,299,848,772,229,217,425,221,407,013,304,
832,356,239,699,740,896,060,410,393,013,067,972,993,885,732,340,748,655,336,
114,969,926,481,509,167,822,954,261,365,138,224,359,372,100,777,725,193,497,
673,800,962,069,554,007,254,351,276,830,563,121,734,368,700,179,652,298,715,
121,387,097,610,635,072,998,243,040,536,145,555,605,957,634,266,572,429,540,
671,540,788,312,069,187,090,201,319,654,235,533,266,344,831,906,728,345,841,
564,739,019,110,642,742,657,874,542,420,310,387,016,673,005,361,638,690,992,
808,517,399,022,951,136,644,339,471,796,908,329,055,042,264,222,382,311,563,
426,654,643,008,827,167,278,419,487,422,879,042,047,068,305,121,859,833,599,
598,973,287,061,167,677,058,406,498,971,424,909,938,008,278,333,661,406,980,
870,617,491,945,157,309,757,801,321,066,171,113,928,491,123,082,123,432,334,
934,873,166,550,251,778,435,267,881,046,060,961,905,963,610,206,839,047,561,
437,843,481,833,868,441,899,478,387,955,346,377,821,561,109,357,857,113,574,
007,898,057,196,143,997,600,493,335,405,846,636,143,417,992,766,209,571,839,
332,617,623,740,308,182,949,522,236,854,824,610,186,207,951,660,847,680,132,
610,218,165,474,989,432,753,148,060,390,542,932,929,812,193,970,578,361,534,
017,380,679,280,597,270,158,680,103,864,101,658,442,799,053,691,977,426,540,
688,744,759,564,278,851,099,318,768,382,565,997,590,580,814,872,063,044,672,
568,099,568,249,052,030,562,493,684,826,909,605,711,459,414,044,247,631,149,
986,220,934,282,207,625,184,336,683,279,566,611,977,455,604,501,945,786,316,
324,196,971,636,541,666,985,283,480,820,248,689,503,258,860,151,422,618,545,
684,247,772,600,767,252,981,854,922,736,542,160,789,790,282,734,285,344,135,
829,307,017,060,800,045,899,093,265,078,235,438,059,488,165,910,647,685,193,
566,002,669,256,673,922,319,235,858,410,525,929,385,096,765,246,430,388,821,
760,104,859,824,245,446,016,689,285,760,175,472,734,871,763,694,250,440,468,
095,270,879,889,313,897,574,481,895,506,901,606,503,734,599,732,486,517,865,
727,592,617,336,519,158,799,951,773,226,032,767,604,829,309,079,730,468,086,
345,661,369,680,616,006,904,146,826,390,241,100,581,256,967,380,924,696,192,
425,720,225,874,730,300,524,632,901,504,574,025,749,941,850,371,372,002,124,
849,923,217,969,197,882,657,884,898,253,609,428,906,340,201,087,023,989,367,
966,626,922,499,988,524,056,159,668,349,326,274,152,135,307,664,308,236,631,
535,639,503,080,829,419,690,782,005,859,269,123,912,727,843,222,891,787,509,
191,878,411,635,663,490,914,214,639,110,906,724,914,684,441,443,336,213,010,
386,906,626,252,386,891,188,288,371,936,968,828,615,680,306,090,283,550,403,
179,992,934,144,251,847,333,890,754,967,664,813,555,967,181,633,045,581,520,
659,671,781,532,349,450,775,489,110,586,722,310,088,729,455,550,677,670,421,
253,827,091,985,978,465,643,996,797,502,305,588,145,367,363,677,661,626,231,
518,904,405,264,131,260,198,382,573,876,333,338,211,578,981,828,217,047,592,
006,287,558,068,744,681,881,286,679,729,518,430,119,376,900,012,617,391,120,
729,300,420,258,078,062,936,701,754,107,400,627,563,105,446,014,666,388,465,
881,431,273,871,849,513,842,306,015,789,652,030,662,227,932,606,127,174,790,
106,970,357,511,844,227,974,741,622,932,832,784,000,627,137,567,530,070,898,
685,605,112,084,280,558,756,649,383,006,085,022,901,636,495,840,229,076,954,
355,669,228,904,737,823,223,537,155,710,537,065,484,262,372,509,613,745,824,
336,803,859,843,300,476,592,514,968,248,989,455,134,400,127,322,268,014,409,
145,221,177,262,723,139,749,377,786,089,549,917,220,944,723,433,979,594,965,
972,856,093,906,065,722,931,101,085,273,226,492,895,669,485,302,382,056,674,
259,426,826,787,522,255,675,189,246,231,876,831,329,538,488,989,553,135,403,
395,818,892,699,480,316,943,878,836,209,095,960,866,976,649,918,906,922,265,
433,263,971,490,132,296,671,241,345,654,297,459,590,798,330,755,707,869,017,
303,858,801,922,813,043,353,611,302,776,773,207,647,833,898,408,819,110,270,
074,178,116,656,408,219,278,226,706,757,873,644,326,595,204,910,501,746,391,
519,167,617,312,862,494,789,252,540,245,521,805,408,992,152,059,087,647,976,
708,914,327,462,517,450,252,557,529,830,731,439,630,035,503,083,594,736,790,
243,382,423,262,269,914,334,458,385,881,400,110,096,481,931,664,248,869,630,
753,767,589,489,365,813,652,185,143,165,997,382,279,210,256,513,041,642,428,
366,533,787,255,238,554,787,171,992,484,810,800,435,853,702,463,482,256,360,
699,332,669,209,427,979,831,511,761,076,521,608,889,435,492,793,871,154,044,
191,967,319,210,117,965,239,140,606,140,078,904,367,548,232,028,211,818,968,
719,052,250,079,428,232,369,317,038,627,308,806,887,371,523,392,546,391,241,
369,368,047,082,349,713,989,550,552,132,607,156,364,264,348,489,837,589,240,
948,110,325,797,597,277,709,716,267,425,690,479,938,206,184,201,381,489,152,
893,442,912,171,237,802,279,293,547,291,769,449,671,069,394,150,038,935,186,
562,192,470,480,452,403,642,565,154,474,699,541,392,737,532,359,282,074,165,
875,716,718,640,747,634,233,916,245,516,997,628,097,463,427,724,056,927,615,
404,536,443,585,890,454,242,623,851,674,945,069,135,894,674,594,466,481,903,
643,519,901,478,097,063,094,071,463,831,584,123,754,097,843,854,069,520,561,
764,836,656,353,460,889,329,180,675,910,875,655,954,078,626,374,297,733,893,
412,460,436,499,545,720,817,156,032,713,045,634,521,186,019,802,460,247,326,
808,683,569,056,106,072,231,417,754,683,350,503,729,661,837,460,299,850,474,
428,051,569,714,922,731,085,900,051,086,035,776,296,185,439,074,251,718,556,
699,426,487,428,129,682,364,883,391,360,713,670,719,454,077,143,275,969,739,
208,723,321,953,214,535,414,575,088,095,998,909,187,936,298,235,819,709,275,
500,278,901,412,412,866,839,166,393,010,598,283,381,041,259,792,307,900,424,
377,441,073,808,055,860,243,656,707,741,285,913,242,010,398,434,602,962,000,
889,500,301,343,779,304,806,050,786,561,066,227,080,116,783,321,958,423,758,
864,151,745,460,268,981,197,831,205,965,010,341,086,142,624,712,603,827,884,
177,691,896,294,741,341,130,963,995,534,366,685,505,149,788,839,711,234,774,
961,738,137,893,089,652,854,784,321,832,699,825,991,202,938,093,744,529,155,
215,908,060,926,416,032,928,233,046,163,687,833,327,733,416,819,677,746,816,
886,351,157,998,128,818,920,203,458,347,734,503,155,341,662,413,701,646,427,
980,913,026,843,943,870,519,252,563,659,963,348,986,561,232,232,123,739,001,
920,710,061,636,989,913,154,747,583,489,462,004,863,336,034,267,435,957,694,
200,607,690,372,389,048,071,375,903,627,077,370,807,726,019,002,983,863,099,
162,725,329,392,266,850,592,749,535,118,996,394,056,963,554,330,376,115,030,
133,120,548,722,804,350,766,069,671,061,172,352,693,774,902,629,549,123,368,
965,908,628,523,667,837,425,901,133,691,067,543,407,571,300,732,873,855,225,
813,628,485,985,272,231,046,866,473,929,126,975,825,698,915,076,248,753,112,
717,972,326,600,721,519,643,956,685,211,850,236,060,437,898,044,026,493,710,
938,059,405,142,394,586,552,781,226,386,639,363,113,125,238,248,738,256,626,
161,901,620,855,216,374,998,262,532,396,731,755,016,060,609,934,810,096,793,
727,575,822,667,755,672,489,386,238,642,729,368,657,224,444,817,852,097,258,
330,575,770,158,439,814,930,749,404,543,061,538,318,981,180,603,851,747,797,
720,610,054,517,021,807,208,138,122,472,293,035,117,019,295,136,993,880,151,
823,124,528,540,126,486,094,547,268,193,039,263,756,024,471,970,129,591,541,
888,311,917,834,186,983,677,852,964,655,966,669,858,105,189,363,111,324,487,
010,469,601,802,185,507,915,983,979,871,230,133,855,178,277,968,257,553,445,
660,577,216,338,749,803,996,468,431,181,701,009,850,776,924,549,819,614,827,
689,997,048,872,689,134,591,963,186,629,819,769,430,874,862,729,226,721,711,
979,361,347,651,628,246,454,054,552,554,422,192,445,535,000,379,113,956,798,
829,998,498,287,371,421,213,102,890,944,612,257,843,272,033,312,999,800,091,
640,407,221,271,649,995,435,054,536,498,395,770,132,104,120,112,880,798,217,
907,634,708,422,869,621,580,481,093,691,697,249,122,014,429,494,832,713,852,
624,739,959,435,844,718,982,974,304,053,105,873,269,944,757,155,884,132,648,
785,326,071,057,624,483,321,414,803,224,905,442,668,400,715,998,165,403,769,
109,298,558,641,504,238,941,942,884,220,773,248,126,870,502,290,258,867,826,
648,193,286,609,782,126,656,558,228,080,209,588,452,293,957,007,873,569,979,
256,799,723,242,546,353,493,693,164,915,926,359,514,989,015,704,896,067,933,
676,210,105,872,359,603,465,978,642,372,105,952,772,924,522,047,339,142,679,
711,601,089,519,860,622,241,952,350,042,180,341,045,051,207,998,924,836,244,
629,750,616,636,729,461,716,224,805,106,135,279,162,978,309,782,748,574,722,
826,562,523,591,379,299,041,502,372,588,489,423,763,541,644,151,337,422,302,
658,627,292,073,934,314,364,246,273,424,895,401,993,686,094,788,558,225,108,
551,921,280,269,726,630,210,543,631,444,405,091,272,434,505,360,176,562,269,
749,711,605,990,407,437,662,588,649,195,907,547,484,701,884,442,454,520,140,
504,030,080,876,959,077,312,436,411,537,448,497,144,627,708,305,299,997,857,
792,568,226,508,844,524,555,122,837,778,416,405,589,024,805,936,552,878,078,
268,432,033,150,436,307,670,440,994,916,099,141,239,352,559,713,089,290,429,
011,959,758,613,274,093,097,016,133,288,274,911,395,479,974,890,271,221,863,
279,121,380,091,477,340,573,552,062,113,577,056,252,385,586,143,800,704,857,
840,663,432,712,762,300,556,488,508,515,927,671,738,549,385,890,008,588,462,
910,845,228,461,780,864,251,040,206,968,882,927,722,620,141,807,344,432,903,
389,995,226,509,884,785,946,016,303,125,194,710,478,834,062,292,565,506,990,
569,598,160,132,418,141,355,691,711,445,698,768,569,492,470,891,341,960,509,
966,640,243,526,442,321,142,069,326,363,647,717,358,493,256,821,868,261,745,
169,858,391,632,447,896,281,571,703,231,334,809,667,532,083,349,714,108,308,
827,467,984,030,102,829,533,918,210,790,146,081,284,117,493,753,472,415,137,
854,195,673,929,217,051,455,228,862,725,859,328,540,626,429,773,973,088,654,
513,173,700,790,586,301,928,767,260,549,115,124,955,563,160,393,722,517,919,
817,375,087,420,415,681,926,008,435,466,563,095,395,816,399,611,348,117,937,
620,409,835,029,134,526,388,481,368,665,117,996,405,755,872,127,900,321,405,
518,376,805,036,468,809,397,596,040,820,331,720,990,794,634,927,927,393,637,
849,503,384,201,538,765,383,993,886,886,349,988,724,286,258,902,398,137,491,
323,066,682,784,247,529,508,750,970,304,911,491,233,052,496,924,105,067,142,
423,178,373,083,394,513,309,153,797,157,680,824,321,222,954,208,583,296,721,
493,597,852,558,947,605,744,970,987,584,236,287,681,247,371,770,652,440,824,
037,887,669,353,628,729,024,567,339,971,750,837,625,486,179,508,400,436,657,
423,108,667,714,933,582,399,452,296,214,332,721,258,550,893,342,687,277,375,
891,553,492,096,662,781,559,464,114,129,879,929,365,664,189,866,223,351,017,
541,718,189,705,773,149,022,348,745,528,312,478,006,782,477,069,296,429,194,
438,552,695,869,075,769,359,163,529,035,904,931,193,580,190,784,834,934,743,
602,783,095,871,544,916,467,312,067,233,943,495,529,596,314,297,672,809,497,
395,202,108,289,719,826,373,121,952,225,668,950,122,245,001,282,655,743,506,
045,361,007,095,649,797,286,375,146,918,440,216,645,889,358,072,878,228,432,
861,510,266,546,547,415,647,235,946,899,330,382,769,296,464,185,401,706,602,
357,326,207,006,025,261,437,871,120,113,613,053,424,486,602,450,581,919,325,
551,627,309,415,538,862,001,233,502,189,397,971,694,133,588,903,785,872,478,
850,279,713,032,629,537,547,284,071,904,334,772,884,583,954,103,811,070,090,
483,940,225,869,624,062,684,744,071,021,907,626,825,924,012,886,094,827,730,
694,297,698,746,230,796,727,869,547,453,966,697,771,307,936,813,247,117,609,
763,525,153,774,266,991,880,970,846,608,083,130,301,665,796,095,693,673,333,
461,652,273,983,146,911,567,489,465,434,424,652,188,267,575,525,498,793,111,
214,248,077,040,415,326,118,081,843,777,204,244,611,179,210,159,442,587,514,
719,748,752,777,707,730,342,476,245,586,151,765,494,969,373,322,299,230,702,
575,340,936,492,523,751,133,466,689,328,081,823,877,431,057,406,360,499,888,
272,815,182,274,265,182,205,325,873,222,359,727,257,051,066,974,889,485,781,
587,756,091,533,102,070,437,909,306,842,041,234,239,357,163,235,894,644,187,
711,896,139,608,342,647,095,744,902,440,439,037,901,339,415,813,243,587,066,
046,748,763,522,218,456,823,246,873,478,254,914,679,018,211,756,529,567,873,
092,144,197,854,483,423,493,590,308,306,639,269,685,317,388,758,131,964,827,
610,827,852,897,276,877,935,797,993,155,480,763,723,735,919,497,114,534,986,
777,774,713,051,291,883,670,750,965,168,048,791,990,070,805,051,250,448,118,
638,084,450,361,576,442,182,317,002,153,807,784,360,039,930,495,684,157,029,
643,013,491,410,992,718,731,952,322,540,173,162,981,728,875,348,913,084,152,
777,261,780,608,866,148,616,045,115,855,812,273,019,317,465,060,407,294,481,
980,651,566,918,432,467,875,532,293,415,461,906,005,642,674,901,113,872,286,
370,191,765,073,198,350,961,067,405,302,775,769,599,337,699,877,666,947,693,
493,131,299,176,193,247,432,110,356,182,131,460,202,396,979,379,663,073,571,
885,299,490,108,194,590,415,874,018,849,474,240,477,834,105,349,711,945,481,
331,009,968,490,004,202,215,610,581,866,407,258,694,820,083,847,594,214,890,
624,443,258,258,225,827,160,614,619,247,128,301,458,839,257,413,897,604,669,
577,141,395,077,927,878,324,849,913,462,996,995,839,049,488,909,968,017,624,
011,631,317,483,407,377,062,291,804,308,944,459,711,992,096,741,638,459,817,
022,465,356,334,919,191,599,764,364,849,640,369,635,554,302,322,537,139,885,
337,730,744,630,563,347,173,580,467,433,619,439,073,563,190,987,857,585,550,
368,965,027,331,559,574,169,494,356,300,031,281,225,306,029,392,390,298,686,
448,500,671,488,777,266,946,231,906,667,869,049,538,147,260,692,414,004,165,
480,503,078,500,296,255,868,930,706,933,168,741,187,283,639,807,908,476,297,
665,362,626,028,554,317,263,887,263,774,580,426,477,843,165,146,245,603,219,
190,467,260,006,758,697,855,478,137,229,724,286,852,250,427,822,646,048,440,
003,839,434,423,848,949,647,259,148,856,306,022,893,587,829,703,645,873,998,
913,383,896,431,521,145,115,904,849,484,070,159,651,152,829,777,839,477,652,
131,451,684,009,326,403,460,456,842,598,917,935,964,697,460,102,609,457,380,
749,579,377,450,785,061,413,748,866,621,376,971,245,835,188,147,754,187,135,
300,747,036,936,933,111,220,530,082,976,687,515,346,621,627,211,075,695,386,
410,299,014,422,331,451,159,635,459,717,865,901,848,197,698,572,087,863,584,
940,540,190,872,949,435,384,367,242,800,072,525,984,189,404,858,786,566,132,
889,900,458,396,990,733,404,847,069,781,550,663,380,434,760,959,563,837,829,
557,525,887,897,435,283,552,146,675,627,839,777,735,611,685,719,039,725,004,
426,225,881,584,366,725,040,495,011,426,529,848,346,908,233,381,912,975,743,
686,122,766,430,518,048,073,437,235,147,188,780,943,100,014,223,062,369,338,
043,937,968,324,436,169,031,820,365,070,871,705,757,203,535,730,435,072,611,
057,393,017,416,560,505,011,154,732,681,359,191,509,536,496,574,635,397,824,
698,263,746,848,171,006,874,903,778,533,173,339,263,875,978,494,895,151,856,
464,167,404,426,463,691,806,665,933,053,768,313,707,164,969,721,154,125,758,
510,403,944,416,901,082,173,371,889,835,924,838,749,199,742,811,431,022,730,
611,092,090,251,106,190,904,441,406,351,375,879,779,512,754,901,406,142,874,
828,380,374,849,806,346,681,634,219,871,422,828,289,545,436,343,509,837,428,
692,273,986,728,896,304,595,533,288,729,024,625,978,215,959,873,881,101,678,
353,281,775,854,771,261,846,746,230,139,819,426,615,915,667,279,969,251,547,
753,693,398,750,394,018,966,204,828,858,488,081,872,024,701,804,460,363,633,
043,024,277,415,275,936,830,119,196,500,624,617,003,648,900,360,227,282,583,
194,666,675,225,782,719,444,586,914,578,921,086,906,261,415,444,240,260,238,
616,335,630,770,335,567,301,493,962,348,674,713,387,523,738,335,298,389,257,
747,256,248,395,853,184,304,396,646,077,693,156,847,975,898,353,589,399,044,
716,750,599,150,854,301,147,725,457,699,237,818,715,495,504,058,419,156,247,
706,229,515,501,557,989,450,583,925,736,626,311,711,164,926,364,405,230,990,
504,009,726,447,721,601,078,503,432,037,362,069,927,399,585,084,622,429,747,
938,295,314,439,790,047,454,227,398,167,469,933,903,327,543,977,980,695,529,
181,867,092,865,020,763,441,787,784,092,538,438,506,981,076,387,574,762,544,
000,923,973,700,915,325,873,509,745,185,413,665,667,273,964,962,041,868,185,
901,527,805,922,349,164,558,787,484,239,267,949,830,933,184,400,646,166,775,
146,671,489,590,260,501,529,407,899,044,139,018,241,252,219,350,873,644,913,
612,212,928,614,868,721,829,887,140,924,489,756,166,524,775,366,368,270,867,
988,390,358,066,333,490,447,703,185,938,113,772,015,332,737,183,054,018,770,
197,843,772,649,002,107,457,626,072,191,506,684,848,153,959,911,406,463,548,
294,114,352,669,715,599,085,597,491,751,441,120,179,992,603,607,543,590,977,
730,985,697,103,180,350,831,318,791,941,681,405,765,446,988,710,097,445,662,
686,296,402,529,748,463,559,557,846,436,850,687,456,300,006,726,067,878,006,
019,673,571,920,514,155,310,553,594,696,455,916,747,067,641,768,512,845,115,
601,809,446,458,092,488,643,914,333,938,245,050,723,319,168,638,683,150,400,
738,760,145,434,169,362,212,591,216,844,559,254,812,129,211,065,863,534,641,
592,986,315,549,364,953,991,901,386,745,639,940,646,156,874,807,815,760,353,
733,616,606,329,383,362,970,643,454,350,733,896,124,205,562,690,315,289,309,
508,333,981,888,422,709,292,081,583,638,516,560,177,220,005,811,147,883,560,
743,022,332,804,150,476,105,865,364,203,562,649,732,741,879,461,421,025,283,
565,331,904,803,833,117,446,195,552,466,262,465,887,822,008,024,465,162,879,
317,957,166,349,571,491,537,433,360,212,043,059,595,168,414,736,618,243,691,
104,324,463,245,026,582,122,545,124,583,251,877,184,113,990,306,889,071,812,
413,782,877,625,857,084,205,010,398,981,937,009,315,813,850,194,485,633,697,
946,463,942,793,731,563,964,313,133,694,608,849,223,620,213,706,632,040,681,
968,809,399,534,683,410,771,199,972,256,960,853,915,638,043,838,396,440,136,
390,571,263,847,246,379,484,971,196,622,619,694,876,308,118,758,835,306,305,
625,342,371,329,740,739,339,984,535,573,788,817,497,293,328,324,174,932,911,
057,439,221,862,365,523,685,930,361,603,438,887,236,226,999,062,688,125,819,
354,332,448,061,716,800,752,316,718,127,825,375,135,328,849,332,263,943,895,
182,341,160,435,113,834,707,807,640,262,805,580,192,281,778,472,872,924,857,
391,684,424,572,869,375,353,886,805,934,666,097,379,810,374,855,028,016,983,
130,418,099,916,679,352,872,788,588,980,826,927,880,565,225,205,326,316,356,
066,030,986,641,866,767,987,626,218,782,729,949,599,178,104,404,205,240,231,
064,483,239,268,381,278,816,530,101,595,593,584,244,226,309,994,884,176,703,
853,050,448,761,498,838,777,980,065,727,850,441,105,622,960,912,768,035,463,
167,247,805,142,341,908,477,850,980,162,172,732,873,359,885,807,965,799,903,
455,333,848,640,589,927,518,975,549,966,568,573,767,987,028,851,325,159,451,
810,601,692,760,553,426,292,179,249,637,488,597,231,366,299,202,933,804,746,
714,145,032,585,699,541,943,992,331,525,840,879,344,097,854,584,649,194,696,
787,314,084,046,768,328,048,906,475,977,279,689,395,167,014,695,874,309,403,
138,601,090,192,275,366,446,022,186,445,734,444,011,475,473,923,235,471,790,
274,382,128,948,869,125,061,385,894,438,623,252,414,043,911,762,556,289,317,
215,335,894,306,016,751,864,923,668,202,475,733,045,618,288,342,612,480,158,
729,935,166,040,553,600,067,531,271,547,665,754,353,466,960,248,142,322,057,
006,247,687,398,988,393,706,070,595,984,547,118,320,634,937,876,101,129,246,
370,453,851,801,127,535,987,668,538,842,816,806,946,720,663,381,156,884,424,
300,648,423,152,375,223,210,795,119,118,117,015,064,149,344,466,319,612,152,
093,803,732,509,808,527,471,937,400,476,038,450,922,692,019,117,218,714,347,
694,767,168,335,178,522,339,773,340,326,285,320,419,874,844,416,648,577,045,
403,991,901,844,873,228,448,140,043,620,507,657,599,306,424,437,463,605,124,
253,690,820,323,795,358,438,127,189,822,226,627,190,732,670,240,717,432,714,
927,416,676,775,675,711,849,015,661,269,215,450,393,988,215,997,864,206,617,
323,949,494,593,821,808,449,913,859,665,653,087,517,006,054,272,364,198,153,
959,941,340,038,187,391,918,462,957,723,425,821,541,112,370,624,200,566,854,
558,992,356,089,711,221,911,447,889,722,895,843,898,815,536,086,769,971,822,
972,850,447,661,745,669,722,519,541,558,016,962,090,701,379,910,384,922,732,
830,839,474,180,768,709,274,334,137,448,926,869,340,481,197,015,291,335,853,
814,791,318,945,393,049,070,107,241,389,873,625,146,093,296,566,917,866,242,
549,655,517,691,835,977,062,264,794,798,619,948,956,333,795,766,428,483,078,
454,501,170,892,243,897,241,467,837,363,175,049,595,796,878,542,158,145,671,
634,484,291,076,441,553,894,742,434,663,250,648,158,597,963,758,023,154,840,
902,933,332,693,975,538,194,293,886,155,182,900,355,570,519,449,125,801,976,
553,779,102,638,103,566,772,291,934,976,292,469,892,075,365,375,454,940,003,
023,157,498,134,239,031,500,191,702,583,205,190,263,361,256,163,205,886,246,
778,692,592,421,293,365,176,877,420,403,943,629,629,980,800,415,373,509,811,
461,886,701,179,285,348,168,470,496,719,353,854,067,056,145,188,682,175,815,
580,871,237,994,835,290,630,193,379,355,854,705,859,750,131,073,521,751,131,
894,097,185,285,234,452,552,645,743,302,301,360,059,645,231,990,933,099,785,
143,521,027,552,034,630,736,719,409,273,772,767,340,814,703,722,953,696,526,
208,899,596,901,819,495,865,754,503,483,616,595,858,823,470,849,658,677,981,
487,765,606,764,898,567,019,573,388,795,993,973,196,693,533,559,275,065,902,
213,338,368,176,583,408,083,686,434,917,094,914,657,060,187,154,713,037,505,
956,128,649,614,925,921,650,460,175,149,493,022,960,901,166,543,674,265,461,
202,046,228,954,896,031,674,562,181,307,641,641,152,423,543,609,116,524,365,
559,390,788,308,367,036,805,343,982,230,182,716,831,216,950,599,878,812,645,
996,799,402,935,432,983,248,948,982,326,667,318,688,654,090,157,425,624,325,
609,196,658,825,152,236,347,230,059,858,255,926,265,997,321,937,078,835,597,
930,170,012,830,444,299,278,256,082,225,036,351,884,456,826,012,040,750,842,
129,610,006,968,037,064,241,679,424,944,124,199,778,558,406,643,077,674,811,
045,413,691,126,800,643,730,465,624,223,446,976,579,639,845,087,716,251,990,
717,221,020,686,544,534,164,670,200,212,803,802,820,782,835,702,008,958,522,
799,710,116,039,382,538,061,986,605,279,040,113,909,861,153,255,331,913,917,
347,324,751,177,667,081,362,519,992,196,689,130,895,291,000,206,237,068,182,
683,208,054,619,367,245,253,259,947,537,677,355,712,030,561,783,056,281,215,
114,677,283,080,266,669,424,252,548,073,956,282,454,696,999,079,465,018,626,
266,462,958,028,613,935,535,663,254,220,484,400,162,588,255,183,932,253,887,
910,482,317,213,072,702,278,081,280,284,435,975,704,093,770,963,149,035,087,
130,995,767,813,287,687,300,912,578,787,590,957,207,676,033,747,281,292,179,
150,418,620,889,187,505,662,464,544,502,051,616,423,773,989,414,578,015,739,
082,952,312,382,295,779,531,455,109,867,289,768,758,516,078,512,544,687,104,
207,600,830,262,528,867,451,309,841,021,200,518,735,216,878,722,034,682,773,
584,696,674,433,618,469,238,667,604,833,916,449,382,079,005,798,219,291,298,
355,011,016,183,562,915,078,349,804,635,685,200,633,399,566,784,282,815,624,
437,643,033,722,387,530,592,750,394,343,844,114,565,660,481,400,425,506,601,
605,471,890,147,050,032,436,380,148,766,739,390,788,958,461,612,439,708,261,
885,701,305,432,082,491,553,114,464,840,319,524,463,837,738,956,664,638,058,
477,523,264,098,044,446,068,093,706,363,417,284,475,516,692,910,878,139,467,
862,449,115,337,946,418,128,135,179,212,341,582,410,413,696,322,592,162,702,
150,684,572,738,778,283,641,628,033,964,669,730,240,762,717,549,524,789,426,
720,388,506,568,210,495,305,252,843,476,667,774,859,532,000,505,182,102,607,
597,194,982,936,610,814,839,222,686,463,821,451,573,858,869,623,565,497,171,
411,048,720,409,718,056,082,763,059,176,557,209,105,315,406,294,306,042,154,
371,968,587,268,108,772,529,364,964,893,264,882,859,504,995,979,221,791,426,
670,908,377,757,018,258,609,441,351,034,994,777,094,629,011,549,291,707,022,
589,486,670,831,751,641,876,376,840,272,824,907,888,783,562,826,182,384,608,
881,304,525,912,779,286,817,799,046,780,774,496,719,842,340,555,238,018,710,
187,741,103,610,360,309,192,761,907,582,865,243,255,511,598,253,347,713,079,
874,526,617,470,725,464,262,450,132,088,407,422,399,993,205,578,942,182,649,
816,429,775,952,424,556,007,844,681,033,184,732,401,386,707,310,164,354,321,
235,792,199,400,140,178,151,467,393,828,403,176,569,800,154,209,633,021,960,
724,877,519,881,893,290,774,745,072,456,376,956,395,408,543,623,988,391,827,
412,323,201,552,207,647,775,611,294,876,188,623,166,372,657,006,498,112,098,
523,800,986,716,336,679,025,230,001,524,377,030,457,433,298,344,829,868,243,
603,558,547,803,237,288,746,626,425,660,054,223,372,468,743,880,882,059,754,
701,578,780,497,983,005,263,024,240,128,321,291,100,312,752,381,907,428,776,
123,102,872,781,156,926,171,859,223,848,688,673,137,343,892,824,981,731,181,
821,899,719,458,085,482,504,289,240,199,502,886,541,677,955,651,646,051,802,
842,815,471,291,402,544,402,845,882,946,024,988,653,899,142,291,595,973,707,
862,561,410,086,577,328,413,629,587,013,283,380,621,671,429,182,919,580,573,
435,374,016,513,269,825,383,933,143,894,134,158,565,744,078,593,067,643,348,
855,878,423,005,492,185,783,562,833,350,953,755,448,987,738,715,332,030,615,
465,739,090,518,749,466,915,210,276,519,289,084,402,835,134,038,145,235,859,
203,030,063,913,702,525,267,434,829,871,571,912,024,312,958,258,078,174,356,
691,120,802,114,940,326,434,136,306,647,629,228,229,296,569,447,146,595,809,
701,013,107,902,987,968,260,124,840,055,438,529,163,245,597,902,567,224,489,
084,654,406,938,940,737,807,759,252,524,738,256,110,286,415,513,035,659,935,
966,500,595,446,517,931,272,577,188,400,357,099,346,976,476,363,986,125,568,
231,469,491,015,414,670,495,663,848,140,123,087,046,816,589,004,059,891,447,
091,434,829,152,275,533,601,484,293,316,254,005,704,782,914,044,234,722,814,
789,527,073,535,040,059,309,010,699,788,413,723,895,710,674,574,925,562,492,
459,209,795,390,888,799,194,919,197,405,467,386,493,555,655,223,243,788,512,
022,975,932,016,309,660,942,843,780,145,486,360,902,347,198,646,045,210,506,
918,507,863,144,185,834,048,310,005,331,124,746,304,419,155,051,179,042,436,
682,759,459,721,792,099,258,573,942,458,502,744,768,738,882,330,496,222,361,
514,764,258,490,351,587,937,893,008,997,773,793,815,792,888,282,263,583,023,
359,593,847,004,316,571,333,259,758,979,021,421,175,709,940,679,677,492,236,
114,295,186,569,125,107,239,887,385,512,707,128,321,906,028,105,554,106,011,
360,649,242,219,917,161,679,140,521,045,260,748,794,981,778,214,627,936,243,
554,367,080,106,847,541,513,342,732,501,486,224,566,755,868,516,662,593,560,
389,450,141,313,572,665,230,100,503,060,333,319,088,871,476,220,422,039,286,
643,901,867,531,108,066,798,816,819,740,556,738,050,597,698,723,453,474,589,
395,952,597,548,878,326,531,473,080,586,865,695,597,926,971,799,863,325,851,
920,337,916,182,347,823,309,004,522,812,549,695,594,680,110,277,800,524,591,
485,707,237,649,315,508,004,077,510,139,162,936,487,814,946,771,868,241,923,
900,562,638,599,658,732,834,812,600,782,191,590,867,548,239,197,462,502,731,
897,979,546,423,029,007,288,827,215,367,100,998,354,242,797,786,820,331,009,
952,066,186,581,429,969,347,089,857,068,540,270,229,970,651,672,577,050,256,
513,701,569,816,421,378,809,679,957,551,898,114,397,024,727,538,684,535,090,
059,163,829,458,610,116,169,459,213,850,347,468,499,849,926,650,685,380,932,
842,925,612,858,092,906,119,290,851,437,185,370,847,027,090,114,747,465,249,
901,017,394,639,884,691,910,645,671,547,961,540,906,451,846,746,370,278,330,
067,700,265,340,356,499,695,514,728,098,076,806,099,935,265,976,075,541,490,
314,173,817,194,328,972,829,481,835,345,422,282,775,148,315,444,253,844,715,
130,459,146,093,604,105,143,708,891,002,189,442,893,747,352,039,205,676,174,
134,758,747,283,264,011,078,446,819,558,056,467,423,273,175,926,381,912,263,
145,288,369,232,940,928,677,769,962,257,855,476,131,756,769,037,408,220,079,
470,564,628,627,891,528,302,756,567,333,661,161,163,760,048,909,217,025,353,
249,521,865,017,626,740,637,667,863,569,549,975,004,704,254,939,531,633,356,
513,327,363,230,636,791,105,384,777,739,215,172,138,709,083,041,778,726,983,
274,599,404,076,251,218,445,461,155,048,234,893,613,590,574,417,100,691,166,
855,778,778,776,877,769,430,462,564,343,603,438,444,250,427,041,631,340,008,
796,151,990,931,337,087,587,568,314,962,339,396,787,259,351,890,178,156,208,
462,043,106,552,058,567,612,218,984,958,525,097,342,151,412,112,654,624,751,
678,374,666,961,092,148,800,031,495,219,042,569,249,231,807,294,076,269,833,
462,221,125,215,028,369,658,677,810,236,602,425,657,998,204,703,078,661,919,
569,497,959,234,383,888,855,899,652,070,293,972,038,571,706,475,697,409,972,
653,997,906,186,378,339,755,134,615,312,653,742,172,687,428,401,943,547,092,
273,162,368,126,794,329,210,990,741,044,220,853,437,225,656,329,470,739,232,
104,906,006,638,256,876,478,215,249,582,097,318,495,661,012,523,522,664,331,
165,433,056,287,753,622,464,600,492,520,216,465,265,077,689,350,516,465,452,
468,351,326,337,600,228,049,877,075,243,934,890,233,660,834,390,000,285,669,
783,881,770,767,501,277,555,195,667,289,581,380,638,183,883,554,490,529,725,
707,504,204,694,294,364,284,779,383,561,031,834,952,163,669,344,977,206,012,
036,589,446,491,443,705,802,086,668,245,608,872,519,675,365,604,984,158,172,
727,626,846,216,708,594,425,343,211,546,429,531,343,684,288,122,996,790,273,
529,617,092,114,846,594,331,296,113,898,672,133,667,005,615,282,010,912,419,
255,952,372,634,899,619,382,274,265,275,708,042,706,638,953,294,470,810,125,
896,478,595,762,995,994,397,937,665,743,785,870,521,221,964,706,627,802,409,
439,877,312,979,162,156,228,958,865,742,880,979,669,313,489,868,692,819,856,
609,563,762,140,979,017,883,351,089,949,384,958,727,335,153,829,746,438,655,
567,875,507,362,664,928,175,503,518,385,749,356,172,792,561,258,521,383,193,
889,984,737,886,059,815,756,723,992,845,184,643,448,622,082,360,467,699,069,
915,971,141,754,701,703,388,574,852,779,115,157,727,464,421,159,440,292,474,
481,053,335,035,517,983,865,787,563,893,527,715,958,334,536,488,476,547,606,
861,222,493,156,654,131,856,976,077,792,158,237,137,482,495,852,008,668,090,
545,233,267,674,705,391,896,454,160,995,425,173,322,987,622,643,167,539,973,
706,379,030,427,888,680,650,780,566,605,453,997,225,728,451,549,868,519,954,
392,065,040,611,637,814,913,101,612,908,493,272,771,615,468,644,438,372,345,
300,545,627,980,680,081,053,350,124,753,631,303,390,259,882,600,908,637,907,
902,970,787,266,570,503,305,326,926,468,018,064,029,796,404,748,613,275,671,
176,586,507,871,726,089,285,435,893,385,215,698,174,522,720,779,817,824,659,
828,415,016,349,158,464,121,595,044,534,507,126,896,726,515,587,614,719,166,
261,178,895,539,984,387,714,119,359,966,273,567,602,439,689,620,588,060,656,
441,552,358,026,134,607,130,803,667,446,955,759,232,515,327,196,101,758,763,
659,374,818,566,469,338,642,523,776,942,565,461,409,031,428,126,239,296,734,
262,435,332,603,598,843,494,139,536,752,697,796,542,305,407,317,120,972,081,
345,943,890,829,034,713,549,764,201,305,771,930,720,426,394,153,318,771,440,
456,773,257,767,431,298,515,810,637,353,640,049,278,662,532,784,534,796,971,
908,312,352,394,240,069,148,085,633,407,138,780,372,507,973,715,485,805,488,
420,223,761,214,064,825,800,358,858,480,366,475,668,763,484,253,491,422,878,
035,252,081,651,483,996,321,632,586,314,187,700,944,331,838,248,018,393,409,
762,767,221,221,838,493,317,473,915,063,058,802,395,915,675,582,632,970,241,
223,528,545,277,794,428,517,710,112,505,632,461,668,595,782,016,728,299,885,
879,836,810,081,633,989,217,114,944,428,538,810,581,574,462,188,333,448,741,
775,068,597,406,316,257,164,693,730,233,397,219,786,801,680,865,902,410,234,
594,914,863,002,354,718,050,154,611,122,155,058,239,101,517,726,976,199,990,
213,135,317,730,050,992,492,974,968,137,762,478,759,450,515,160,114,104,926,
957,516,648,384,930,451,858,934,710,952,038,801,885,220,350,106,384,504,899,
081,065,757,910,305,844,588,004,536,258,102,284,551,346,007,506,116,783,177,
534,854,051,577,415,472,945,246,314,741,394,171,556,293,753,188,022,123,055,
717,878,663,041,238,775,481,805,057,079,371,905,950,404,459,425,414,729,538,
771,635,507,235,610,338,669,298,725,043,344,453,452,432,145,666,356,138,418,
300,920,077,454,166,114,331,315,969,115,127,903,202,223,483,419,370,079,968,
153,534,127,937,392,153,805,437,448,509,707,040,682,891,184,823,196,770,991,
320,635,659,037,848,548,479,577,924,842,818,909,186,469,663,152,628,799,836,
135,725,241,377,897,923,191,506,963,796,575,145,701,144,443,070,295,766,658,
105,728,880,920,971,045,280,170,919,017,473,556,518,873,960,330,795,227,672,
784,693,518,309,871,437,561,207,521,300,281,692,154,104,367,533,803,824,421,
469,088,739,221,172,476,910,434,556,145,716,585,065,522,894,758,598,510,692,
346,772,955,991,232,586,078,377,854,691,926,060,364,116,210,747,988,778,404,
376,239,864,898,481,295,175,637,013,239,574,177,739,983,922,870,426,581,050,
746,198,560,674,983,761,015,420,023,602,827,317,089,828,153,796,454,508,342,
109,710,292,950,513,643,533,664,675,477,649,566,484,167,657,551,740,169,950,
126,728,616,238,392,793,937,789,554,627,887,706,978,043,794,461,215,826,534,
508,346,823,740,360,534,768,176,021,976,310,063,007,832,575,254,215,825,360,
688,622,924,598,717,649,445,155,763,063,058,837,369,934,767,467,367,923,972,
835,156,888,276,572,540,411,591,922,271,048,582,795,318,826,261,009,529,389,
210,132,945,022,602,944,485,104,896,405,752,402,072,898,491,540,145,884,200,
891,333,513,322,424,403,979,380,261,779,108,399,780,636,256,041,273,613,061,
070,625,727,718,245,597,831,026,123,267,559,770,636,034,419,697,301,780,600,
607,887,223,159,212,948,521,434,393,833,588,160,195,543,500,707,230,753,499,
235,765,130,581,468,577,631,302,387,136,583,676,548,305,355,361,181,122,259,
772,810,280,868,656,181,605,818,100,810,140,107,340,563,364,781,041,949,059,
348,536,617,530,771,643,747,505,524,585,274,623,403,532,379,280,130,030,083,
220,739,264,424,139,560,898,024,850,506,583,058,050,049,240,569,928,509,068,
300,949,502,450,955,034,293,797,132,390,523,574,130,664,558,297,151,581,208,
663,890,761,259,198,245,633,178,754,305,669,725,669,869,679,878,398,560,003,
697,635,721,725,516,149,827,676,608,334,858,218,740,449,592,890,616,813,858,
673,515,806,021,079,258,682,245,681,306,909,477,245,160,302,952,246,471,054,
660,670,577,591,755,219,992,749,441,314,449,348,286,439,957,622,390,078,603,
039,789,184,785,520,296,390,944,338,107,046,795,905,801,961,385,220,199,503,
073,578,034,568,059,071,378,130,341,520,120,460,033,763,075,080,728,303,906,
299,214,749,847,745,190,891,213,760,745,203,937,868,238,323,226,793,599,686,
884,110,355,534,857,516,387,883,959,622,649,616,974,268,296,791,422,702,451,
565,076,599,601,948,058,171,253,713,754,671,985,140,980,252,685,178,863,743,
333,368,897,107,189,900,527,056,373,818,397,140,646,223,777,681,477,374,492,
460,304,505,296,975,567,262,208,345,752,894,470,759,807,720,608,170,464,019,
789,101,319,416,496,588,703,152,084,668,247,355,950,181,746,589,388,351,367,
890,555,763,832,396,779,520,964,890,556,948,169,947,966,934,316,710,596,135,
277,625,761,181,720,940,111,952,421,646,212,509,251,223,513,502,587,510,747,
560,060,591,805,910,015,630,587,578,457,980,406,198,522,865,763,369,992,754,
942,626,221,821,627,174,790,031,335,627,265,437,811,095,457,049,236,546,856,
356,186,587,723,081,938,486,911,608,996,544,945,815,398,080,589,471,788,474,
581,865,834,647,262,718,970,390,007,481,138,642,565,470,283,214,779,931,270,
393,447,150,766,232,116,955,433,041,100,629,524,524,463,650,987,522,721,695,
554,026,317,924,295,555,866,073,959,752,632,963,011,606,910,850,566,580,928,
872,181,643,040,736,275,577,031,835,027,626,061,550,854,003,124,627,431,739,
393,946,830,136,899,744,850,329,403,598,284,536,635,853,678,778,927,515,461,
731,932,332,312,194,964,769,846,044,359,695,539,138,746,524,042,346,765,988,
121,789,174,466,573,105,551,654,165,277,498,307,016,171,331,162,152,463,913,
455,305,702,583,038,209,110,087,227,343,255,542,673,060,760,965,505,638,860,
172,683,262,635,791,480,123,932,061,714,535,085,203,256,740,044,499,510,778,
614,329,034,394,039,974,015,458,357,913,217,634,537,334,994,833,515,819,499,
741,227,447,858,167,928,178,465,443,999,208,189,201,809,082,309,999,874,533,
034,908,986,057,609,696,090,431,497,467,040,890,648,490,268,023,689,165,382,
825,790,840,448,355,101,818,357,492,419,065,203,321,244,474,522,533,453,128,
844,474,180,990,975,699,211,096,276,574,518,031,615,856,265,842,950,411,335,
711,963,883,126,168,248,320,385,287,850,193,869,427,212,694,197,110,622,919,
451,661,410,228,563,199,887,437,717,268,292,094,055,221,608,110,788,606,878,
746,655,372,006,256,837,434,013,012,194,477,487,835,704,586,890,335,386,987,
545,811,484,699,855,994,935,789,992,510,488,466,967,073,848,274,618,010,088,
724,549,236,023,506,799,286,756,428,744,735,796,177,409,038,526,063,801,727,
428,621,701,618,192,986,247,104,188,824,503,621,261,829,887,727,647,239,428,
585,567,263,873,971,841,515,705,396,297,621,259,052,752,041,348,266,579,622,
161,239,399,258,112,205,529,025,936,522,834,355,373,143,524,005,606,121,901,
732,317,170,690,232,952,036,363,853,621,395,233,015,035,829,366,724,259,172,
944,562,604,198,066,218,159,956,981,173,094,118,059,388,046,057,901,101,045,
086,096,194,712,326,081,824,105,317,976,334,759,837,280,537,397,987,784,387,
840,767,521,949,904,455,751,719,321,653,617,829,175,212,705,770,873,881,565,
559,367,035,559,524,201,569,620,196,009,736,735,293,065,327,534,060,092,480,
844,026,238,779,031,969,900,599,230,956,718,402,066,190,164,683,342,300,953,
143,786,747,396,821,344,462,191,093,246,884,614,524,877,329,887,696,090,045,
656,773,323,029,882,626,913,185,042,122,316,666,841,405,270,526,396,857,022,
458,381,329,061,519,231,020,034,129,657,615,308,157,900,451,810,542,946,130,
513,037,111,422,648,453,315,110,653,166,066,147,703,678,485,494,522,061,931,
058,466,684,633,439,165,076,914,384,359,930,735,248,466,075,964,198,303,658,
858,163,860,732,672,845,426,542,052,317,866,778,926,021,976,732,727,884,601,
155,662,141,892,020,802,988,852,381,911,772,224,222,111,186,005,200,731,062,
113,348,662,611,793,397,901,098,207,384,201,977,307,033,133,924,002,997,339,
968,759,010,448,871,031,431,824,068,464,466,470,782,832,697,370,817,528,497,
980,349,661,895,118,149,123,601,505,260,901,863,060,675,609,954,822,116,878,
773,125,076,510,740,718,618,311,286,847,800,466,378,099,751,388,182,204,695,
891,234,025,546,937,049,742,318,670,649,948,857,525,233,641,418,826,821,520,
358,902,790,661,668,234,794,841,490,202,838,687,033,672,030,583,352,240,323,
859,338,230,878,541,249,498,417,447,528,694,904,107,121,735,043,451,208,745,
099,552,487,858,313,317,043,995,229,735,094,859,143,393,667,494,243,418,519,
678,164,520,840,951,271,490,943,230,503,104,207,657,542,815,305,566,386,609,
984,974,229,409,711,525,409,057,402,562,744,194,411,147,529,275,523,153,888,
132,402,990,638,350,801,687,358,880,454,057,010,131,024,713,078,877,245,754,
331,556,002,206,973,581,292,790,389,156,259,932,504,519,576,834,192,006,493,
538,686,223,894,130,363,548,629,211,464,682,643,148,197,394,349,651,168,756,
232,362,003,037,417,041,116,395,885,818,926,663,969,598,712,879,357,237,089,
744,078,488,037,508,148,887,539,131,219,293,912,574,298,088,963,269,382,818,
693,323,583,962,681,451,687,046,953,943,871,816,933,528,358,912,116,502,109,
521,780,034,933,519,726,824,577,193,629,825,799,265,272,738,165,770,733,948,
586,992,835,980,939,841,185,838,494,023,004,839,213,573,069,376,016,216,099,
763,942,758,959,900,922,036,130,274,691,914,030,050,992,519,877,133,731,074,
869,701,195,302,279,401,679,343,618,661,767,249,291,327,143,603,380,880,399,
421,039,573,890,060,993,343,063,717,182,644,669,511,448,586,585,720,083,993,
415,855,529,721,461,933,920,089,336,800,808,545,104,479,950,764,693,415,768,
009,894,197,750,001,990,439,664,515,609,692,780,579,513,684,468,408,687,335,
399,898,702,923,511,377,925,407,231,730,473,024,908,469,600,084,922,291,935,
092,564,212,800,061,266,701,163,512,879,105,514,917,089,361,975,911,932,998,
265,263,747,710,657,564,595,235,744,778,659,078,218,393,815,547,526,305,080,
724,969,385,920,683,310,111,234,777,054,896,577,447,054,738,588,364,635,719,
854,950,489,854,310,460,004,619,319,555,503,450,752,838,468,591,441,872,489,
609,876,771,890,587,609,221,944,258,634,368,323,362,844,251,106,356,988,508,
312,681,357,664,170,591,441,052,495,251,583,323,805,428,337,759,647,322,397,
951,612,408,640,171,660,116,913,918,631,477,760,860,432,923,979,759,998,992,
513,639,589,547,957,108,004,079,105,743,159,232,312,508,003,031,512,673,671,
111,571,157,508,315,070,631,235,043,161,166,453,378,949,462,562,556,005,263,
609,884,550,556,924,616,122,461,519,387,457,827,966,523,435,544,949,296,796,
693,423,246,936,623,081,974,951,791,099,279,804,499,050,611,651,295,173,068,
658,282,648,826,834,211,954,341,866,954,552,100,585,413,715,940,541,592,782,
319,526,382,944,905,529,352,406,703,715,462,700,738,523,229,697,666,733,363,
744,114,127,090,959,652,092,712,833,709,727,455,430,988,465,351,225,165,457,
817,270,715,526,447,004,525,159,396,219,159,637,856,697,707,810,916,998,203,
299,715,814,550,110,282,656,656,788,065,107,259,181,026,306,110,328,590,540,
956,781,413,041,814,279,492,017,686,484,914,534,152,901,053,356,226,546,471,
376,282,417,308,602,818,385,317,808,646,876,674,808,032,241,841,532,321,363,
104,468,145,885,571,592,144,998,249,259,263,597,147,584,252,021,151,479,828,
967,959,503,317,228,483,071,853,824,601,228,269,888,201,093,897,429,408,018,
261,105,546,154,175,164,993,012,338,378,139,709,306,497,900,083,185,218,771,
632,902,970,258,421,136,348,906,627,083,533,610,647,983,954,379,803,996,921,
557,504,169,246,546,857,274,287,682,557,332,730,592,186,362,324,543,801,458,
359,753,792,178,206,683,316,116,020,234,939,357,218,554,637,970,332,912,407,
476,790,819,944,980,490,723,071,103,181,327,242,963,274,292,818,401,414,451,
999,140,349,195,079,748,258,426,975,542,595,534,596,729,409,834,154,656,264,
549,728,144,665,592,838,295,230,318,798,859,494,651,487,658,573,118,651,600,
434,000,075,163,874,386,785,060,592,786,987,206,646,329,806,077,468,938,924,
437,041,083,239,858,997,444,822,546,194,117,014,639,266,638,235,602,868,590,
190,657,777,744,195,866,318,399,037,255,667,526,855,228,765,665,602,352,551,
588,746,199,872,798,278,070,879,063,396,270,908,884,209,735,508,705,462,256,
529,114,747,226,846,168,541,894,101,667,519,407,946,891,846,170,169,275,601,
290,505,924,850,750,056,506,178,875,404,101,932,036,516,475,446,808,394,185,
683,703,034,309,626,191,735,285,977,294,787,342,320,459,933,627,604,431,531,
142,320,710,902,871,095,572,759,714,003,776,382,789,298,270,417,040,424,137,
229,864,094,481,259,937,329,061,143,367,411,126,251,851,597,617,245,800,801,
734,261,302,180,571,491,964,392,222,436,710,642,721,091,758,625,397,097,303,
587,550,343,794,438,519,357,629,412,637,750,508,061,844,858,931,156,268,757,
245,985,412,123,169,159,224,091,021,602,839,967,197,289,276,135,010,946,723,
643,685,791,338,812,104,741,755,969,350,114,844,844,632,655,387,448,523,506,
701,134,666,178,720,744,180,372,594,786,267,608,553,913,292,549,923,680,320,
604,362,997,366,434,772,061,410,749,735,199,797,500,193,833,717,290,743,081,
773,470,834,143,240,488,670,788,149,055,650,963,981,443,767,657,494,223,833,
906,334,876,853,544,742,306,139,454,886,844,585,963,832,342,494,735,249,622,
019,751,862,024,839,914,733,436,239,903,187,001,455,187,708,588,255,392,290,
222,710,374,478,286,131,499,345,782,606,603,139,961,531,495,860,912,969,408,
383,610,470,145,918,286,566,089,107,460,120,973,972,136,781,295,539,021,843,
065,192,101,464,644,685,348,147,053,361,390,254,632,947,356,903,232,763,982,
605,216,892,891,350,482,779,624,852,010,467,184,072,883,551,679,486,484,884,
382,069,567,876,480,507,025,768,916,073,608,023,774,813,670,237,994,615,331,
808,325,838,997,817,684,488,939,533,024,328,579,441,027,251,164,509,143,916,
298,958,905,782,940,745,649,703,285,507,458,010,724,322,966,173,345,797,338,
895,050,614,896,807,448,641,719,247,578,733,181,906,495,623,511,493,749,516,
662,386,448,349,492,965,220,114,219,932,912,817,960,948,422,635,715,682,970,
695,297,200,810,486,892,829,007,598,050,700,797,666,410,438,651,327,226,075,
279,582,422,342,593,472,170,043,393,627,947,043,764,213,327,321,956,379,419,
962,314,759,475,413,368,948,562,881,307,615,584,600,129,479,099,201,961,061,
882,503,497,984,233,391,221,918,450,799,417,036,920,514,483,340,710,988,057,
703,114,254,836,079,204,150,177,286,143,676,775,087,103,862,619,492,258,231,
290,057,228,869,154,246,458,457,488,104,832,320,023,723,252,113,217,948,295,
461,973,655,956,937,669,889,163,388,807,199,211,594,591,421,244,389,401,606,
302,222,772,976,963,163,157,691,045,714,373,841,127,105,950,123,021,198,296,
056,588,383,104,346,279,391,352,982,917,001,083,419,006,845,230,754,440,688,
150,761,528,238,322,132,056,899,814,725,841,937,539,174,681,355,299,306,930,
173,637,803,868,518,637,944,231,672,153,891,244,193,237,408,713,629,921,718,
146,205,405,505,024,386,077,940,154,011,646,405,634,293,981,766,825,749,993,
071,739,771,637,096,244,602,429,937,462,868,499,798,600,100,939,621,628,753,
990,011,129,003,824,730,653,080,094,511,737,868,946,716,581,403,989,036,906,
873,267,194,579,413,135,516,656,990,379,735,164,244,371,294,499,258,057,462,
204,338,912,502,686,026,361,380,098,243,447,876,024,174,069,168,324,225,498,
433,330,797,559,003,066,738,067,565,198,058,471,424,879,727,917,415,869,993,
463,842,118,644,013,042,402,959,444,634,467,755,617,404,854,631,232,837,613,
932,539,001,699,323,447,067,234,515,619,789,519,583,422,633,857,134,678,218,
610,877,498,937,806,343,099,802,291,927,459,483,899,684,275,273,589,265,926,
732,263,253,696,634,479,164,822,761,525,430,627,625,740,983,178,974,169,106,
221,862,593,521,741,115,778,833,953,178,850,952,736,663,215,459,528,919,796,
889,053,844,390,941,870,670,639,108,497,187,919,963,281,587,189,227,291,633,
508,243,035,136,198,239,729,380,864,212,930,221,568,949,958,521,650,102,928,
100,257,238,624,772,978,620,071,078,812,446,236,202,887,110,231,846,355,873,
244,994,189,278,634,785,729,840,712,628,981,451,477,405,561,535,460,296,460,
447,485,618,710,658,771,031,155,481,533,251,002,595,162,909,442,826,121,165,
225,907,663,142,979,548,525,804,932,494,330,892,681,697,798,834,749,813,364,
774,001,057,405,424,039,759,803,329,147,137,538,661,829,526,214,458,941,418,
201,155,551,044,223,585,097,074,648,038,940,487,047,172,811,333,939,904,542,
529,244,826,941,273,027,793,692,843,302,847,120,153,511,914,244,094,287,898,
831,703,407,629,984,053,410,157,270,352,406,384,011,780,476,695,280,215,912,
148,097,568,285,539,360,345,362,014,921,899,626,270,477,527,483,546,826,815,
016,783,372,200,626,309,810,134,961,946,807,197,068,257,170,847,571,491,621,
503,796,005,069,291,797,082,906,500,420,058,969,772,858,216,520,250,780,008,
080,875,072,752,771,331,161,286,212,473,484,990,078,388,298,818,771,894,023,
235,059,819,774,073,394,351,773,317,267,360,088,460,050,440,576,687,285,325,
832,545,642,956,967,145,928,604,884,820,751,976,373,519,071,195,278,402,158,
296,623,108,933,746,892,639,515,257,131,194,790,317,720,637,457,390,235,953,
961,222,534,404,183,859,351,270,544,159,365,006,749,539,433,096,374,228,094,
119,003,307,363,861,742,846,589,618,116,453,263,602,224,692,204,614,070,969,
507,294,211,004,261,840,356,711,978,234,644,550,659,736,279,580,989,582,074,
630,189,761,146,374,373,704,807,655,845,718,935,875,201,385,263,974,662,815,
404,818,330,192,403,346,720,925,135,067,480,795,709,544,931,258,983,627,912,
803,423,512,979,847,730,187,958,911,839,023,310,310,533,483,512,650,429,357,
444,129,970,852,490,108,458,850,874,066,980,940,837,306,922,006,067,610,608,
417,539,245,011,278,398,231,613,776,723,215,737,066,829,338,760,980,629,391,
648,690,783,255,535,429,327,795,464,568,801,438,372,107,849,824,269,864,371,
391,651,677,885,196,493,853,958,101,822,264,293,026,483,613,297,486,357,621,
257,102,149,533,642,272,102,317,216,579,201,034,866,374,868,399,699,045,719,
271,088,940,158,278,599,516,902,560,792,461,076,754,555,974,934,248,922,858,
026,873,525,377,326,463,075,417,933,828,830,582,927,790,936,519,513,574,329,
045,745,657,399,171,834,434,810,167,144,680,156,195,594,937,096,840,441,053,
825,331,230,626,975,611,980,694,879,543,319,991,054,115,553,745,729,927,477,
453,790,180,310,435,831,156,099,563,194,089,740,938,857,671,351,457,066,335,
224,361,853,134,598,838,854,101,961,812,778,524,338,270,996,756,494,584,834,
946,442,630,419,739,478,282,824,847,788,001,803,599,695,749,117,360,533,179,
602,046,142,647,072,332,429,528,237,792,925,399,208,808,195,187,632,278,405,
361,195,404,304,889,103,981,208,251,184,176,379,301,592,844,056,630,449,787,
991,450,007,287,424,199,597,882,803,866,623,832,526,543,984,824,012,095,809,
908,921,762,597,734,201,493,389,625,507,486,273,328,016,111,325,309,625,940,
793,636,180,138,717,726,609,278,282,829,583,445,910,321,416,303,018,022,242,
597,802,110,552,030,671,073,313,314,370,661,153,488,271,441,676,731,343,925,
033,802,480,409,894,469,364,166,168,420,299,276,747,250,886,755,655,625,849,
321,577,847,474,043,248,261,000,216,597,057,663,768,168,108,784,438,694,575,
916,951,918,648,417,268,947,307,550,739,440,985,794,690,047,195,284,909,378,
501,090,349,479,512,351,251,539,485,339,430,783,706,171,959,341,340,942,368,
930,465,858,894,203,493,161,755,080,546,861,022,347,761,742,370,192,437,978,
699,538,645,942,554,664,572,511,362,994,169,426,810,584,237,874,849,072,394,
183,954,531,758,957,999,523,248,662,068,799,995,376,202,656,961,193,650,530,
899,023,915,647,888,545,905,012,343,387,899,493,247,417,081,543,592,824,458,
786,212,409,082,623,915,415,066,616,785,992,210,536,492,330,181,837,132,334,
916,423,864,507,883,169,645,718,739,385,596,676,543,152,364,102,843,028,423,
248,076,878,239,517,999,690,490,613,751,133,935,840,311,427,569,336,613,632,
577,076,879,563,002,999,214,768,134,631,026,724,752,809,866,071,998,752,036,
819,369,185,410,647,446,876,768,718,413,104,378,826,263,823,977,049,514,589,
038,520,628,711,810,210,761,310,254,516,968,400,729,879,896,299,149,107,821,
835,433,608,726,677,723,825,932,688,232,499,699,131,343,324,437,819,300,983,
921,870,463,440,486,144,160,919,346,674,980,942,889,893,690,001,124,123,950,
615,122,063,333,155,744,168,664,008,005,375,799,356,128,288,139,226,914,044,
248,432,039,797,596,685,154,082,983,828,911,428,916,787,888,660,994,091,717,
265,961,905,649,784,748,684,897,007,627,340,999,930,217,711,538,433,226,715,
744,428,342,531,207,511,270,339,276,318,463,748,604,561,287,505,043,207,452,
389,848,821,733,701,220,900,291,156,866,133,840,396,424,522,330,701,638,179,
619,757,548,320,888,574,638,637,374,139,244,511,386,150,267,857,284,813,186,
483,301,790,348,967,402,191,209,683,903,198,424,037,878,747,601,668,204,806,
795,061,645,788,701,874,937,488,695,131,296,893,091,228,950,299,809,453,190,
191,381,219,999,082,207,796,194,723,249,188,376,673,851,062,692,072,490,288,
473,809,077,550,451,964,995,372,592,081,834,768,120,237,290,540,296,942,577,
548,077,534,254,217,890,112,358,259,293,623,690,683,434,371,414,796,859,544,
363,317,323,766,470,172,816,124,511,054,328,744,566,578,404,797,993,987,470,
244,033,942,900,895,828,240,922,872,672,229,529,534,319,073,843,978,859,965,
845,298,744,020,714,619,790,556,857,148,358,138,914,723,884,061,537,315,837,
172,416,606,632,849,089,862,148,541,485,560,079,233,718,979,733,494,786,651,
949,729,787,509,215,067,729,633,309,623,740,276,948,780,784,137,820,472,845,
648,947,600,920,393,989,388,916,088,513,119,457,818,208,408,329,592,217,293,
463,992,660,707,441,572,652,549,751,103,973,719,666,687,632,837,993,271,482,
696,813,036,808,198,090,171,560,087,274,070,641,459,098,276,608,749,875,857,
983,188,813,132,528,620,193,311,367,386,257,850,702,663,678,518,097,462,269,
527,767,956,103,275,643,497,401,886,363,693,321,524,827,718,624,777,038,071,
140,403,501,596,730,540,139,118,304,122,027,069,080,500,044,121,541,173,481,
008,196,629,812,840,329,437,705,370,700,890,409,993,584,128,419,017,154,100,
077,731,653,347,512,048,281,242,135,833,172,616,607,919,854,868,592,539,207,
793,285,960,688,807,993,961,375,336,009,896,388,628,439,364,848,398,108,163,
543,365,808,628,360,391,641,741,503,440,003,673,499,138,942,203,156,924,078,
831,689,150,406,090,952,426,228,305,578,609,064,116,329,295,221,534,514,786,
234,033,287,098,020,745,683,082,887,017,713,880,270,164,068,827,778,165,988,
050,439,782,761,571,903,359,555,956,500,228,129,220,713,287,714,920,918,735,
516,173,577,589,924,861,459,538,525,004,079,374,484,896,505,940,340,407,690,
323,066,747,697,281,793,893,659,628,311,611,677,280,858,766,046,539,274,034,
839,442,621,831,997,726,118,270,602,172,626,172,842,489,695,940,943,918,592,
621,317,016,420,527,801,105,113,915,931,570,558,220,042,321,611,973,828,377,
587,407,798,924,025,918,200,820,508,711,303,949,813,245,117,679,960,788,083,
639,005,469,736,846,862,874,662,234,504,183,426,410,377,200,718,592,386,825,
609,492,490,214,293,205,430,036,936,770,080,453,604,002,423,945,456,816,052,
176,991,865,351,547,872,435,719,140,765,591,843,829,329,162,947,630,100,836,
213,126,127,339,273,762,480,746,804,686,334,344,041,626,384,774,214,857,238,
690,067,676,808,501,682,816,298,045,612,153,598,643,477,277,835,339,413,340,
324,307,236,305,140,353,961,682,006,053,300,308,499,654,228,183,371,152,789,
227,386,901,171,547,556,906,283,732,698,445,969,448,165,368,764,731,065,929,
963,409,175,137,718,751,852,128,517,269,704,499,000,591,746,094,006,979,867,
883,688,591,990,897,830,263,626,704,065,283,556,270,590,949,318,982,298,771,
658,271,969,877,501,274,839,901,056,927,848,565,974,661,718,237,541,832,142,
193,596,043,226,964,684,284,759,626,059,645,598,904,225,906,416,117,763,097,
664,452,181,807,361,856,616,270,539,536,336,477,204,036,365,296,115,351,335,
106,440,805,556,792,022,829,966,132,758,091,996,606,643,273,127,117,348,230,
788,041,805,396,365,080,369,581,082,352,504,074,705,864,199,387,926,565,854,
665,207,124,266,804,983,823,709,856,761,511,757,394,487,727,282,964,713,984,
519,537,445,792,003,857,975,856,953,128,435,522,326,191,873,943,625,354,114,
912,113,752,564,370,612,799,527,485,597,293,031,128,401,478,758,733,872,699,
652,954,893,066,334,196,895,533,447,921,569,849,668,040,611,071,983,516,894,
472,468,342,621,109,694,270,651,017,190,156,551,352,929,977,469,882,048,996,
406,924,433,559,163,055,515,049,967,003,065,284,338,084,408,473,778,939,963,
778,835,471,108,731,310,055,750,123,842,003,022,351,212,447,740,732,719,101,
412,140,247,164,622,718,727,028,083,019,722,961,536,953,982,368,151,887,538,
148,588,460,855,006,636,702,517,334,596,413,311,289,409,755,649,010,555,132,
440,066,417,864,701,653,420,652,885,021,107,825,993,746,030,130,750,130,355,
053,761,642,166,398,618,038,021,299,005,517,234,545,219,705,124,396,821,239,
743,035,891,751,808,686,048,249,533,601,877,633,365,044,430,434,735,906,148,
060,620,299,771,787,273,348,606,851,236,527,476,001,270,439,722,760,407,243,
776,021,692,362,686,692,736,539,284,176,361,732,913,728,122,593,591,916,045,
122,981,403,488,996,605,129,181,271,410,780,264,747,185,067,710,749,374,740,
308,078,500,611,881,048,845,145,135,904,654,000,181,043,072,738,285,854,550,
485,839,819,762,057,189,552,839,569,349,033,092,028,625,111,444,696,334,291,
315,734,490,158,915,949,520,194,369,513,920,537,188,869,923,818,482,408,577,
661,809,630,483,569,860,308,518,709,877,646,095,277,640,999,078,658,496,242,
063,180,540,564,497,204,132,151,276,607,937,362,955,549,267,404,603,516,022,
713,904,090,476,218,847,523,869,379,001,190,252,630,646,470,467,507,072,471,
275,121,730,002,617,903,702,229,526,194,958,798,509,431,034,167,349,172,332,
083,906,081,178,598,887,121,592,058,613,051,488,428,440,856,462,637,935,727,
844,446,680,628,461,766,599,945,616,329,293,598,322,570,340,861,970,633,861,
301,379,094,508,720,160,461,924,023,143,070,852,294,040,563,955,258,139,413,
960,768,472,336,595,770,767,114,194,280,673,772,955,171,779,947,288,231,230,
571,051,767,867,526,561,148,135,463,435,228,315,532,587,677,237,192,612,265,
624,408,297,110,878,675,153,540,110,384,804,694,201,554,986,847,361,000,666,
156,124,593,424,034,876,406,523,354,742,725,040,189,593,373,457,185,137,142,
630,017,340,190,537,117,744,822,128,080,763,982,984,578,964,398,331,023,156,
453,294,450,035,930,240,633,817,806,920,899,730,506,296,458,513,657,525,135,
710,981,750,069,219,541,026,945,722,901,330,325,657,832,920,575,314,698,259,
769,926,334,787,015,826,043,602,950,656,776,593,669,539,506,760,266,709,675,
892,153,968,545,650,004,495,568,291,184,459,903,694,986,112,366,845,228,924,
517,273,839,782,148,006,433,404,114,311,247,011,157,276,554,829,094,478,774,
921,076,351,869,026,703,363,891,820,020,017,459,028,982,951,993,338,013,334,
065,493,199,116,070,929,460,238,144,202,594,295,794,877,466,566,190,204,044,
026,631,376,842,478,831,003,934,315,010,445,271,941,492,645,961,432,022,030,
798,012,953,739,107,797,637,651,619,007,823,672,631,090,138,625,889,373,106,
988,072,185,207,606,580,110,368,971,223,323,008,224,252,204,565,252,113,533,
654,767,904,342,977,960,105,559,220,502,894,269,530,415,322,078,470,694,135,
860,616,762,310,413,808,946,937,316,771,446,731,584,782,655,368,343,880,628,
515,154,931,364,191,426,475,551,766,518,120,512,614,859,798,110,064,857,188,
157,816,029,161,267,853,460,030,624,000,094,961,414,345,753,534,682,847,056,
220,580,686,517,682,915,128,466,452,715,491,542,122,689,108,690,661,859,409,
103,985,237,948,307,889,442,044,223,961,476,068,693,191,897,655,552,228,776,
159,140,318,745,018,099,700,393,823,967,537,964,356,124,934,531,419,762,201,
711,013,401,256,017,956,621,966,557,921,195,565,734,968,607,472,761,552,352,
939,870,705,289,435,746,963,868,531,666,046,749,061,853,269,098,778,024,635,
399,804,776,740,022,779,662,005,029,786,637,163,352,465,813,430,594,409,125,
915,044,627,244,620,401,051,216,877,048,313,680,359,801,751,690,813,567,799,
555,076,140,334,814,589,357,973,618,729,374,682,752,192,252,958,266,766,789,
147,241,647,249,652,472,326,908,999,269,939,484,477,330,660,414,292,033,229,
550,605,207,434,788,314,695,815,724,169,530,788,253,759,762,057,175,153,555,
527,241,445,407,872,138,159,721,390,153,511,053,578,815,139,877,642,552,473,
481,720,195,396,972,438,685,218,588,098,732,647,201,323,175,534,811,525,328,
713,910,511,447,362,344,782,712,588,529,802,339,644,910,019,818,065,504,646,
946,359,936,911,888,415,344,385,362,002,200,376,981,276,310,413,021,047,127,
816,466,343,336,540,999,361,155,702,452,765,179,931,556,532,811,982,323,707,
945,581,676,338,403,438,141,059,999,832,364,912,182,680,685,546,540,544,669,
413,632,802,730,162,194,583,758,090,217,063,492,516,992,617,192,267,111,265,
867,012,483,952,885,179,821,983,424,794,214,227,324,601,460,061,422,942,753,
229,700,639,384,082,460,448,144,338,258,495,018,508,775,903,865,652,382,315,
491,395,624,051,742,534,742,658,290,166,553,107,106,885,867,477,361,793,457,
075,067,138,429,848,296,847,796,407,477,267,306,380,803,862,271,044,034,981,
637,033,039,611,953,209,808,189,954,932,076,843,234,190,397,858,204,883,253,
136,023,793,908,302,790,318,449,619,265,617,838,181,382,137,093,398,559,178,
930,645,023,472,278,795,318,893,408,769,456,760,270,316,753,803,635,865,765,
624,903,980,728,055,582,421,466,641,459,451,386,237,769,744,867,733,414,832,
133,636,328,372,756,425,267,162,396,505,672,442,979,641,235,241,703,007,294,
217,062,387,367,731,754,782,548,590,742,702,369,307,302,292,948,809,144,611,
636,875,634,448,136,161,452,961,169,314,430,543,747,271,161,517,350,053,139,
791,645,383,886,456,390,292,911,193,279,039,913,338,577,830,914,005,696,256,
300,532,371,514,134,813,904,851,949,728,397,175,975,248,473,183,108,773,445,
909,642,569,557,468,870,428,192,811,136,599,629,668,066,786,274,215,391,404,
812,452,949,768,227,779,368,597,370,434,754,735,040,454,240,298,990,134,988,
730,448,143,785,720,056,675,489,302,686,496,931,645,043,882,972,024,485,828,
520,292,356,601,709,647,191,311,483,432,874,337,914,421,030,555,772,099,291,
460,313,211,898,227,502,184,378,548,519,010,379,107,689,887,465,108,008,372,
675,121,618,438,337,523,860,122,666,123,503,225,492,483,134,014,225,206,247,
764,497,980,632,433,887,877,170,184,654,572,958,438,531,761,656,121,481,197,
816,396,935,872,728,891,980,725,286,406,987,021,873,022,735,966,086,999,042,
682,225,987,992,347,339,578,511,971,178,587,239,746,652,228,942,315,435,471,
684,390,460,026,418,249,553,411,909,407,096,446,226,944,337,791,829,966,550,
484,775,897,963,279,139,891,465,438,460,545,330,151,986,445,046,375,600,137,
691,513,703,366,603,695,626,457,806,648,895,664,562,505,176,589,531,887,380,
448,487,943,271,299,047,748,220,882,562,176,027,715,925,048,246,263,424,175,
370,152,621,273,727,706,639,925,773,651,148,081,399,109,407,401,691,413,180,
746,993,033,538,844,916,737,871,032,829,238,930,825,867,762,531,886,097,902,
134,772,176,586,312,933,692,235,249,809,753,791,741,937,471,559,131,115,228,
925,566,552,220,642,715,953,576,387,595,020,667,120,344,592,812,339,154,020,
668,632,673,847,700,322,178,857,762,721,185,119,438,414,946,011,989,129,072,
442,155,111,879,673,818,974,277,465,658,235,074,044,120,027,604,182,634,089,
138,364,885,403,768,713,748,025,426,321,605,877,584,197,100,625,220,822,030,
793,206,491,733,637,966,813,306,752,916,763,624,030,339,537,728,809,803,743,
307,180,759,840,973,733,105,461,196,136,159,118,020,753,959,952,198,273,041,
420,361,556,388,047,440,783,195,395,588,196,410,993,068,862,157,378,298,324,
083,377,342,166,288,879,200,762,605,380,519,128,111,436,252,079,617,218,501,
838,374,812,745,005,160,450,293,132,573,046,925,148,255,012,066,633,786,641,
872,211,229,857,422,832,028,921,920,867,082,850,265,731,303,822,789,459,780,
326,502,700,262,686,704,825,802,808,470,266,354,784,841,587,595,316,643,436,
467,896,600,947,898,305,059,176,896,957,626,793,663,638,758,503,434,001,133,
552,644,612,836,148,508,378,968,960,254,615,150,429,344,598,476,040,778,937,
457,223,939,824,575,695,031,452,207,984,555,100,649,858,452,864,409,597,292,
320,820,126,591,264,907,830,350,879,417,151,219,232,998,153,325,355,724,262,
561,182,104,612,613,595,421,070,315,834,394,964,260,136,998,284,562,968,237,
583,859,504,390,298,911,738,209,590,214,866,320,745,255,403,399,950,998,996,
306,523,362,283,094,887,215,597,844,447,682,556,584,670,483,684,896,711,477,
492,289,977,768,140,037,042,695,065,715,038,891,337,562,515,121,174,479,790,
887,247,891,140,278,991,083,693,389,567,659,182,982,371,965,120,454,524,857,
428,391,013,642,251,355,159,889,312,090,062,012,557,987,490,433,291,336,113,
073,608,388,653,323,137,591,461,972,907,646,971,963,143,767,610,985,824,198,
273,651,727,477,209,206,467,957,278,819,578,380,885,908,759,268,844,982,243,
931,775,962,562,048,059,612,636,219,125,813,528,590,319,187,738,306,743,357,
559,392,145,846,354,908,993,929,626,132,016,240,269,854,363,299,240,594,167,
530,747,601,892,488,852,361,388,846,093,555,506,861,214,365,064,202,493,831,
354,098,398,622,088,745,494,391,517,779,129,504,421,332,519,300,989,661,245,
730,689,231,743,115,580,764,660,180,204,725,811,869,806,297,994,634,308,431,
555,395,268,687,610,452,979,808,920,221,357,756,057,832,828,113,177,026,416,
572,895,145,537,281,330,123,576,844,700,968,297,092,943,675,207,062,047,756,
420,209,191,833,148,956,970,239,068,289,565,638,631,666,734,299,944,804,978,
395,379,784,286,897,084,918,159,020,765,714,710,033,227,607,524,311,011,383,
664,708,621,164,725,222,778,888,364,357,729,304,551,041,532,588,403,879,369,
794,368,586,148,276,824,500,315,782,904,440,732,176,762,356,955,192,476,970,
019,079,060,889,848,770,553,520,785,390,842,029,941,054,724,707,180,869,561,
511,619,230,369,810,586,094,322,418,147,978,100,608,351,262,906,446,917,862,
044,722,232,416,535,577,834,099,695,415,704,342,641,198,421,083,675,795,447,
361,301,373,150,194,092,154,881,929,532,862,269,447,328,501,625,374,850,033,
152,926,594,244,761,537,527,600,517,111,561,028,270,899,947,782,498,957,842,
486,169,692,415,977,180,746,734,081,639,142,422,813,307,868,505,789,698,655,
599,866,554,747,815,413,973,153,577,195,582,565,562,343,758,500,649,225,019,
549,187,187,193,897,939,769,223,481,863,260,087,036,635,708,972,113,724,706,
577,295,732,117,543,642,259,206,280,528,761,913,558,967,944,819,170,143,658,
621,279,608,080,394,357,463,060,467,355,092,709,352,055,498,134,369,457,345,
378,205,459,389,975,437,293,571,833,937,691,067,709,698,758,997,285,212,229,
396,517,866,478,145,782,791,798,437,252,948,203,856,968,462,125,430,192,748,
803,656,234,773,403,413,105,958,782,677,994,456,931,967,967,809,489,778,517,
752,993,193,035,894,649,983,402,809,545,274,707,107,497,907,318,175,167,219,
363,025,236,576,303,746,783,579,394,779,438,417,011,615,138,418,135,032,290,
963,953,114,400,227,457,517,538,842,186,542,510,731,591,421,733,639,620,114,
993,993,155,057,347,419,367,564,844,508,598,485,003,764,541,441,336,096,084,
495,694,515,305,166,037,128,707,484,483,033,008,907,173,185,820,676,411,421,
552,888,251,214,797,873,833,185,320,209,737,455,339,062,964,322,761,094,401,
886,323,299,075,263,927,967,311,014,250,520,443,632,999,778,400,108,697,159,
375,760,934,040,886,310,127,645,523,873,688,044,302,118,735,561,154,225,655,
665,068,000,378,922,417,841,503,747,138,563,578,438,356,903,380,428,118,801,
553,397,585,046,641,207,858,744,859,132,555,048,372,322,975,057,390,908,548,
220,354,531,315,135,776,759,417,106,885,171,873,284,045,888,846,113,273,325,
343,205,830,782,337,616,223,447,947,293,441,217,232,965,223,696,354,696,801,
429,202,335,495,177,864,079,476,414,239,462,969,339,631,612,848,096,009,514,
383,745,832,771,377,650,734,273,341,169,072,321,516,950,464,253,447,859,512,
850,339,277,473,318,403,174,428,380,543,272,510,625,375,207,370,504,799,624,
446,307,977,220,615,554,812,080,833,789,279,768,305,528,629,615,564,630,376,
158,470,871,404,484,937,508,781,299,943,632,486,787,991,022,765,059,311,652,
948,458,858,920,851,982,398,544,662,072,063,654,690,199,328,606,000,719,629,
311,244,405,411,986,108,316,485,634,607,350,685,383,244,306,678,731,041,129,
077,070,092,754,067,464,853,063,009,943,527,503,019,654,818,365,888,221,888,
177,874,157,979,098,431,769,827,132,904,592,517,000,416,604,680,660,122,658,
735,783,923,792,535,033,376,182,338,751,857,552,034,608,482,503,226,245,149,
177,390,262,665,076,202,503,604,907,430,363,512,579,532,138,323,437,682,363,
631,039,244,341,489,681,280,649,094,810,323,969,993,992,255,134,462,719,300,
919,853,793,850,797,287,043,015,860,206,597,117,867,556,323,793,792,379,892,
061,789,631,212,004,855,472,431,944,046,063,591,535,665,489,716,155,332,086,
729,545,763,536,105,393,593,841,367,841,558,694,440,576,278,474,936,993,300,
451,828,071,319,773,391,839,233,346,724,195,333,942,484,835,168,614,363,792,
543,382,510,640,236,228,290,654,095,959,457,211,007,708,533,067,706,755,468,
966,533,165,316,846,597,733,358,441,896,819,242,597,065,910,751,579,026,980,
688,551,179,574,500,251,990,153,542,935,548,631,367,200,563,399,079,601,286,
008,610,613,796,686,375,069,738,486,011,389,463,961,362,542,384,424,300,803,
403,228,003,636,822,570,391,092,036,477,547,315,117,257,327,412,375,664,428,
160,963,580,843,820,457,045,000,154,282,667,749,954,405,798,728,205,320,803,
499,904,798,251,874,789,491,945,589,892,318,538,452,379,191,504,511,948,132,
091,124,755,546,416,809,092,440,115,748,918,103,626,649,691,990,477,802,624,
118,720,405,088,560,335,570,921,712,917,405,324,154,569,267,618,779,742,414,
042,004,529,551,027,011,343,414,740,715,744,334,538,351,203,307,389,523,525,
320,631,874,803,813,653,012,443,969,729,429,172,714,713,032,433,052,585,020,
294,544,902,773,471,775,767,192,095,127,282,087,882,818,532,373,234,161,231,
125,224,598,407,498,684,113,680,967,375,388,247,838,407,601,617,511,774,881,
270,232,118,877,061,069,242,016,500,147,487,472,475,755,473,533,840,201,035,
495,933,101,575,724,140,792,648,743,589,102,147,754,568,283,270,224,766,670,
460,863,654,360,969,006,238,430,084,405,786,311,313,764,120,851,425,494,895,
781,290,134,910,757,436,456,943,920,057,077,903,823,651,645,449,783,036,044,
561,713,828,968,144,081,170,298,805,144,716,929,077,211,058,966,492,254,847,
419,831,886,682,115,087,929,873,483,057,620,788,196,089,923,754,611,685,910,
643,700,787,200,756,204,494,309,000,292,967,922,780,089,594,749,517,720,997,
330,373,418,903,303,906,753,518,534,121,215,269,943,520,939,409,220,070,944,
040,897,557,803,760,493,719,715,515,765,372,061,924,953,762,061,911,886,857,
236,993,983,583,928,645,913,031,354,396,781,015,535,405,588,077,351,945,978,
788,804,966,156,678,150,242,211,525,023,598,226,540,600,586,348,647,953,574,
875,843,007,352,641,962,501,795,671,720,486,364,735,107,656,965,863,191,344,
001,828,173,727,093,529,666,080,090,734,495,753,041,729,638,774,309,971,440,
649,014,447,273,351,285,496,982,426,237,230,628,688,627,162,561,020,710,589,
300,091,056,226,523,048,183,940,831,660,348,079,277,671,423,425,079,018,276,
907,495,096,069,583,172,476,572,712,371,665,143,831,097,802,643,506,744,947,
275,021,676,277,904,395,681,369,455,607,994,100,598,624,117,614,012,125,034,
805,152,552,940,527,554,127,035,431,136,199,290,897,363,777,985,258,683,018,
408,168,104,059,158,227,949,277,123,880,151,493,629,185,051,097,613,275,463,
036,566,495,734,894,615,472,172,104,038,521,219,496,082,381,170,432,598,907,
008,637,527,777,786,513,389,342,433,446,681,847,493,913,342,083,781,877,280,
530,003,784,836,434,415,887,287,805,365,725,297,344,182,570,663,609,237,000,
289,002,329,058,452,011,202,401,752,597,590,407,136,790,623,199,680,708,296,
279,826,762,355,802,768,713,280,726,421,915,984,363,415,433,485,987,511,265,
571,512,716,516,631,630,570,599,598,120,005,469,494,084,710,178,700,872,783,
371,098,222,743,911,608,966,605,121,514,289,774,284,305,989,914,648,942,637,
445,085,219,350,659,674,378,538,564,274,986,070,523,049,138,447,624,235,401,
515,848,989,999,853,472,836,193,985,175,952,987,493,582,167,414,402,315,405,
612,998,180,610,217,128,395,616,966,417,537,846,036,323,433,132,619,255,949,
227,845,071,393,328,710,914,710,830,636,775,426,616,195,128,648,277,325,496,
944,929,351,239,959,055,482,169,497,461,804,753,673,653,293,262,194,171,205,
910,286,651,988,633,109,818,813,489,785,804,569,750,467,361,353,634,799,061,
159,907,649,103,793,083,525,846,800,059,579,033,105,442,390,051,611,397,653,
610,792,863,692,752,112,220,270,878,755,579,301,758,424,861,908,701,399,350,
256,659,466,802,217,601,563,258,318,112,518,091,580,705,065,333,486,140,228,
882,664,997,637,344,781,238,788,578,946,266,117,490,712,283,791,960,620,426,
952,603,476,359,369,003,957,512,900,748,541,650,258,236,308,458,825,710,396,
375,589,706,336,870,013,836,134,236,679,799,217,378,967,155,862,044,318,845,
276,227,817,310,461,611,578,388,963,977,396,435,518,587,711,245,851,549,513,
827,249,758,683,538,839,323,006,445,101,923,876,265,532,555,661,863,186,384,
666,185,046,752,075,646,363,271,385,452,935,963,846,283,095,381,095,850,696,
690,086,528,169,691,605,449,449,942,737,755,625,360,574,390,099,134,694,703,
629,421,037,666,426,029,946,741,712,324,487,402,270,127,227,357,252,624,962,
093,263,830,924,300,727,178,527,998,189,899,822,977,663,122,840,273,040,927,
422,987,072,021,353,148,701,465,776,539,815,738,742,725,941,449,977,672,180,
573,659,354,541,020,292,982,463,035,440,726,995,079,798,107,513,274,516,418,
413,935,912,292,935,861,738,422,476,557,531,094,798,542,632,042,478,283,463,
618,184,609,541,563,775,779,662,590,767,004,791,390,760,002,041,013,655,674,
250,566,258,594,259,227,841,570,926,681,524,977,349,448,016,958,651,650,784,
810,530,531,555,557,020,031,813,292,734,314,629,725,979,124,861,041,723,900,
381,833,314,365,912,742,827,719,024,955,775,424,408,612,424,641,338,273,311,
923,968,033,718,674,778,531,932,153,149,389,079,429,513,833,142,351,016,330,
169,669,045,589,125,567,409,041,940,047,638,823,897,566,309,483,156,177,158,
242,133,048,462,465,198,859,555,256,235,347,796,212,698,813,670,477,734,724,
070,619,444,122,177,229,726,603,689,954,792,176,741,171,887,588,033,590,248,
202,458,453,038,512,160,770,230,959,803,901,518,200,782,835,705,817,657,337,
932,818,500,037,984,966,829,198,783,166,125,767,138,918,097,743,412,932,508,
621,901,004,283,033,347,694,515,009,699,518,995,506,271,226,426,996,997,068,
668,738,993,107,456,189,962,982,251,863,171,112,601,278,492,125,434,253,025,
347,853,369,427,291,188,760,542,923,013,000,514,019,378,353,645,838,981,302,
300,033,909,289,944,205,628,733,565,094,380,921,954,869,858,134,614,994,800,
912,410,039,478,729,924,107,562,604,205,213,704,387,882,986,002,466,586,708,
654,397,860,616,746,113,594,408,974,193,777,469,472,582,552,948,577,602,277,
452,988,772,477,431,772,258,247,515,385,235,449,901,928,165,737,714,387,892,
652,493,681,378,478,190,420,566,000,577,752,637,439,593,891,650,608,146,510,
454,675,051,387,365,573,945,183,144,450,671,161,687,970,089,451,938,873,054,
301,577,948,029,425,696,346,918,409,469,524,207,112,797,975,558,208,391,249,
351,538,875,153,732,047,344,172,678,792,403,502,829,299,629,470,162,908,192,
462,597,142,357,702,355,602,006,199,210,689,459,962,300,995,672,083,670,448,
547,835,846,826,064,159,840,034,622,533,785,707,113,446,150,636,845,690,654,
812,931,067,995,085,069,175,302,517,833,390,872,546,344,613,620,367,395,443,
521,427,803,073,512,414,438,896,068,149,069,478,082,106,507,464,364,739,471,
583,884,859,204,019,963,786,760,671,106,294,159,935,822,146,262,756,915,759,
049,248,827,862,560,672,233,883,817,019,022,220,100,761,554,995,408,649,389,
968,490,480,091,926,502,639,633,269,913,969,233,360,197,641,898,509,608,036,
505,615,468,273,053,277,115,510,736,603,062,718,984,964,243,015,392,952,610,
890,241,563,549,098,666,066,173,308,142,882,542,878,950,530,837,503,520,967,
231,772,813,366,686,818,016,541,242,065,902,791,920,722,265,771,687,845,095,
404,924,262,683,665,388,323,493,888,356,320,483,777,427,093,872,474,140,068,
625,019,926,935,983,591,701,075,286,530,135,770,971,842,957,410,522,350,934,
729,015,312,283,935,214,287,377,057,289,989,994,886,084,145,498,765,685,639,
183,564,862,010,854,394,445,786,824,211,448,533,872,728,322,771,355,872,772,
738,192,299,600,161,813,347,601,221,519,259,649,930,434,475,850,240,144,056,
525,490,236,498,663,848,934,965,715,859,977,301,791,313,389,278,481,667,715,
914,197,748,159,258,831,021,890,134,568,892,350,587,966,519,162,746,858,775,
037,716,868,535,644,149,522,440,565,048,214,039,603,179,875,401,881,764,881,
818,489,845,815,610,023,818,359,461,443,839,312,931,237,733,026,960,528,388,
765,040,489,508,747,316,554,583,918,509,038,460,544,250,798,140,330,783,800,
345,244,135,935,621,721,951,219,382,881,467,436,826,586,834,150,486,418,844,
447,520,821,021,595,149,414,345,361,897,168,151,578,688,380,803,622,907,517,
201,627,765,255,258,136,785,606,918,743,750,289,582,169,042,655,456,104,612,
836,091,475,625,364,690,057,989,999,004,478,552,257,200,004,864,269,637,291,
111,347,566,304,018,964,443,865,971,831,314,535,741,946,442,044,304,518,299,
271,713,076,931,549,790,536,400,692,904,639,689,462,540,012,954,736,765,467,
646,394,712,338,634,974,344,740,335,454,507,766,578,112,460,344,435,691,805,
870,323,616,019,220,756,768,521,915,854,455,198,680,418,975,658,945,923,762,
679,348,645,832,944,105,176,632,055,929,046,137,381,721,608,651,243,998,422,
356,454,559,422,616,367,945,244,471,816,645,853,994,739,723,904,941,841,224,
390,136,262,600,335,734,487,417,804,417,325,345,938,483,930,235,770,245,201,
431,227,795,063,641,788,726,360,402,175,282,466,565,069,117,629,082,254,371,
958,795,448,358,709,565,456,142,584,437,263,953,574,418,844,653,567,901,225,
581,665,650,329,455,193,831,881,730,498,042,872,516,899,989,104,611,385,064,
968,338,977,022,831,273,454,890,440,461,786,194,960,639,581,040,290,957,658,
451,749,435,154,280,510,995,593,363,452,977,028,250,599,730,423,972,367,577,
808,297,860,368,527,084,560,250,788,722,214,464,103,528,799,022,276,407,008,
991,063,513,251,526,248,874,304,145,202,334,706,233,375,203,234,646,596,907,
299,374,473,811,220,341,274,521,990,520,938,850,270,044,681,886,410,693,321,
646,474,415,083,308,965,935,965,358,855,398,963,842,202,408,806,218,569,531,
693,366,387,077,866,533,529,262,429,455,101,490,410,421,316,505,251,560,491,
680,825,948,389,205,368,831,005,925,602,921,133,411,073,243,587,756,748,014,
457,013,377,084,394,349,498,029,886,584,288,922,469,584,221,414,607,512,928,
761,882,657,699,365,868,171,672,100,273,965,755,621,325,329,920,275,771,797,
475,357,130,510,562,731,918,636,794,540,650,086,532,579,768,298,525,128,724,
899,179,523,470,487,724,339,722,142,689,548,049,015,363,227,487,932,598,605,
531,238,173,446,954,902,099,905,063,800,596,026,855,956,550,394,149,078,767,
995,380,554,248,865,987,951,275,078,411,003,738,623,049,850,118,376,326,472,
977,005,685,180,574,677,865,274,164,964,386,263,161,096,665,615,045,590,051,
502,073,269,494,254,942,074,864,169,364,674,362,847,948,112,954,256,221,703,
953,106,172,841,681,382,735,153,991,208,034,214,932,305,494,350,123,009,180,
968,643,043,477,686,548,875,408,472,966,177,761,525,794,728,142,362,922,139,
254,514,306,881,811,696,875,702,471,126,766,753,211,744,515,742,205,685,258,
688,943,979,268,270,430,742,673,609,223,994,628,696,427,312,278,393,917,628,
796,404,247,396,505,219,909,203,863,895,370,506,362,122,574,580,821,481,885,
974,047,813,855,474,563,830,039,123,354,593,675,217,743,927,733,759,345,262,
211,106,999,739,767,020,440,877,951,113,425,818,710,474,520,453,107,442,348,
136,519,748,394,553,354,746,378,469,046,536,524,409,438,399,327,822,100,516,
624,573,621,347,260,942,001,045,964,622,402,632,351,207,720,768,986,561,660,
247,236,687,069,966,020,034,788,972,543,764,061,535,533,928,202,950,970,605,
906,376,128,003,694,570,016,948,055,124,720,531,213,711,487,377,334,623,118,
430,750,134,981,303,161,458,265,923,490,703,622,743,590,629,041,751,265,479,
713,827,311,532,936,110,992,578,112,460,828,465,894,216,336,080,111,930,008,
239,660,624,351,349,894,330,584,838,898,561,997,429,030,508,129,217,657,372,
688,247,638,835,512,643,748,928,231,673,167,998,247,132,305,908,404,980,510,
186,104,509,259,253,988,273,834,192,820,137,922,133,835,802,690,001,209,078,
478,496,132,139,860,468,269,359,815,453,748,052,998,382,900,978,579,112,942,
480,589,184,877,605,652,640,817,849,699,217,445,387,218,873,906,594,085,938,
927,148,913,817,129,087,985,211,624,582,160,449,526,360,153,416,397,818,530,
838,578,171,224,991,536,595,847,815,912,537,657,666,856,315,236,290,558,638,
612,208,386,817,067,548,643,900,690,765,613,464,903,280,545,839,244,436,785,
518,880,430,899,467,364,530,488,178,810,155,631,983,467,472,809,831,950,454,
972,153,121,649,337,714,306,924,387,208,633,657,699,248,027,217,568,097,045,
137,089,381,166,323,404,224,393,149,412,005,143,172,076,408,469,100,193,361,
278,340,781,279,809,492,243,738,878,709,253,958,498,276,902,069,535,148,318,
694,347,109,969,231,959,605,615,147,853,319,576,194,738,469,183,321,571,734,
791,990,736,137,286,158,748,284,096,073,655,824,900,765,520,728,148,029,521,
693,584,980,108,163,886,045,547,248,897,006,278,980,585,538,827,325,866,704,
662,924,165,760,286,952,289,124,564,793,582,896,186,008,673,895,162,509,878,
623,285,784,457,432,879,983,560,916,691,352,816,964,727,895,296,835,706,170,
572,936,230,791,556,175,892,572,628,823,639,141,357,688,595,013,992,259,729,
024,920,326,158,757,502,621,264,645,505,699,210,742,800,484,700,921,170,947,
114,030,030,565,221,319,745,151,222,851,850,640,368,472,035,736,290,245,655,
087,501,673,009,364,603,315,209,599,137,148,008,542,816,950,151,496,977,734,
955,362,364,727,897,743,878,882,447,845,378,379,298,595,599,065,883,331,648,
302,144,070,215,216,404,289,554,969,680,562,616,942,627,136,874,129,299,265,
770,526,476,890,730,437,193,854,175,106,991,851,112,645,461,059,662,410,985,
012,244,933,214,914,060,466,702,853,921,988,338,940,483,116,684,253,355,205,
184,322,652,442,406,480,115,837,280,543,062,403,497,200,099,224,737,006,821,
640,845,069,768,288,557,900,390,773,477,133,051,729,571,813,536,799,876,458,
474,421,231,380,373,844,704,831,718,631,336,859,522,706,232,616,246,181,438,
837,726,095,649,935,883,475,002,414,154,870,122,646,037,695,496,318,505,415,
974,767,552,123,385,244,643,994,831,303,201,075,799,586,846,534,142,622,658,
752,164,382,875,678,904,365,343,873,466,436,814,883,856,002,587,712,887,368,
667,218,858,166,382,886,791,737,267,476,576,228,773,420,998,348,898,981,425,
930,779,079,684,515,791,529,212,971,967,499,237,535,459,769,437,763,814,101,
167,284,322,451,534,096,489,225,986,528,347,837,795,100,223,169,420,426,462,
743,602,969,914,137,057,170,152,482,116,084,465,548,226,158,649,333,774,087,
753,444,310,582,541,377,499,161,223,577,609,218,997,671,475,894,935,252,088,
188,685,782,279,378,980,018,107,008,449,071,191,017,361,392,109,271,904,428,
841,658,556,778,730,293,906,631,090,023,755,819,610,058,046,860,098,077,895,
832,455,927,253,611,767,858,217,811,099,683,770,455,112,785,551,669,791,434,
148,355,379,743,431,242,902,613,874,313,005,288,474,232,429,702,887,007,437,
863,988,793,296,974,718,408,791,478,399,737,563,220,738,938,689,282,920,271,
418,303,869,686,700,093,426,640,180,900,060,104,297,773,823,738,383,757,981,
111,012,457,941,125,670,813,359,790,716,637,649,984,832,962,420,115,865,791,
187,044,663,648,429,837,827,728,543,987,039,073,143,453,562,248,174,825,148,
978,752,444,470,100,395,188,839,230,558,679,989,907,164,801,069,707,131,641,
129,787,771,225,552,714,266,581,126,938,607,091,647,508,765,433,575,148,736,
697,143,139,532,574,108,745,753,810,011,532,812,243,547,834,899,180,021,910,
942,390,277,089,535,509,072,899,565,489,087,176,633,249,594,506,774,784,778,
208,143,545,150,653,247,030,184,243,721,273,387,049,159,553,270,003,126,758,
558,848,188,886,211,090,585,959,580,089,616,850,325,764,385,908,030,536,751,
298,089,628,764,382,918,975,221,590,081,446,142,162,281,774,056,251,627,892,
602,852,979,160,425,761,347,376,075,684,321,009,686,958,378,207,228,537,984,
663,103,164,907,165,027,217,921,954,398,895,693,487,024,689,140,657,987,764,
859,535,909,902,033,280,483,017,809,585,439,467,589,817,779,024,414,943,395,
955,382,524,480,772,751,759,938,981,827,724,190,184,972,777,026,973,743,305,
972,209,224,310,684,450,154,422,732,509,593,730,101,209,986,283,952,183,691,
075,418,163,786,309,707,522,829,683,669,132,770,468,563,281,677,380,986,205,
667,550,977,952,351,869,761,926,549,883,349,510,223,366,868,875,574,698,717,
168,731,307,347,467,602,151,962,510,693,691,203,162,377,439,408,659,345,370,
699,909,968,248,708,431,436,595,429,773,503,537,744,474,319,505,522,850,590,
174,186,046,541,812,964,602,006,201,279,665,559,084,710,444,938,253,185,029,
014,232,765,929,996,009,668,608,247,425,021,876,816,109,207,892,816,953,856,
852,943,269,455,216,041,459,874,293,526,790,766,929,437,788,802,332,615,440,
742,799,422,634,520,884,333,396,658,942,306,174,785,832,569,663,808,725,405,
599,552,855,349,979,438,728,596,250,966,179,953,673,886,431,087,898,885,251,
975,147,025,266,988,588,533,626,173,824,712,284,114,298,453,645,789,777,310,
023,119,274,183,928,155,625,553,818,281,333,230,672,832,905,727,199,132,028,
413,690,223,521,849,483,016,615,170,158,764,184,481,386,909,668,864,553,948,
586,572,310,225,154,935,172,097,294,922,030,515,059,503,146,075,450,559,557,
476,212,378,362,767,775,282,102,813,576,544,054,760,812,582,155,835,062,740,
399,001,063,439,825,675,310,805,553,686,655,689,888,179,289,508,624,919,815,
337,380,328,428,260,123,514,820,752,622,484,231,434,999,046,667,457,851,727,
856,356,608,150,187,274,545,774,130,506,113,556,336,729,595,794,649,700,937,
664,149,075,432,641,390,123,189,070,117,975,792,465,846,339,214,623,698,973,
452,221,199,013,590,891,682,876,467,124,896,109,006,082,765,844,566,167,587,
633,499,172,759,798,264,332,227,084,534,883,444,008,422,449,113,071,059,723,
022,992,752,160,126,243,753,900,367,532,660,648,897,870,239,836,397,399,708,
432,656,941,780,587,532,512,511,567,982,289,368,628,162,459,696,914,121,415,
077,180,354,268,792,223,569,774,418,171,577,960,928,557,256,492,270,927,759,
512,522,554,653,366,901,543,579,790,680,583,042,082,129,942,976,027,734,566,
374,590,338,552,822,538,042,040,652,791,303,207,465,981,593,921,980,500,173,
194,282,688,005,065,024,369,660,939,282,593,329,002,431,796,886,194,728,744,
593,462,717,987,165,659,007,994,754,280,129,568,903,286,115,186,938,585,859,
357,961,884,457,299,733,175,259,709,926,411,840,316,030,099,819,331,707,023,
551,083,646,360,749,727,966,233,692,892,117,288,293,412,248,750,821,421,964,
267,060,222,532,196,652,733,462,628,486,768,750,698,339,747,103,280,384,375,
185,814,586,623,986,909,698,318,289,985,297,991,989,533,943,091,400,397,652,
371,452,829,129,936,678,483,589,037,785,270,734,871,785,584,860,184,506,014,
921,622,993,560,409,603,143,848,768,104,650,888,238,609,545,279,546,045,885,
111,201,761,006,753,552,578,268,814,084,137,858,182,776,174,246,349,269,182,
520,159,980,538,720,412,937,287,516,086,286,351,997,532,858,075,662,798,140,
609,265,916,450,589,553,545,024,589,240,103,773,060,455,871,932,595,196,916,
128,097,733,604,660,328,920,514,672,129,912,973,194,040,601,460,093,840,956,
224,064,137,377,029,094,694,104,004,501,880,524,907,029,620,213,677,091,922,
155,694,892,955,732,291,831,042,551,586,119,034,899,033,233,513,847,603,089,
541,585,275,103,162,756,031,505,340,316,989,334,179,472,650,551,066,387,079,
441,531,825,229,681,294,312,463,945,326,533,090,157,532,754,140,872,903,684,
459,411,785,276,983,759,421,775,426,426,388,414,905,893,266,787,507,218,960,
110,405,476,900,903,019,862,457,156,021,420,973,143,151,700,512,869,464,197,
118,972,138,682,603,094,861,864,419,013,507,053,307,536,024,132,948,182,390,
342,876,564,359,047,415,621,774,558,728,953,683,558,748,346,453,059,496,164,
211,023,508,664,730,061,974,545,401,795,620,597,410,400,075,424,280,103,465,
296,259,422,173,665,096,455,583,808,083,539,398,096,650,193,245,389,294,874,
976,721,920,731,513,646,574,091,915,938,293,837,334,169,259,917,358,571,620,
623,118,376,983,328,957,342,202,299,039,360,976,478,161,827,717,735,988,997,
887,886,204,061,678,389,632,531,131,572,199,736,097,216,630,266,471,617,478,
198,143,097,007,279,993,711,351,803,400,598,001,623,183,273,750,944,882,013,
696,671,740,562,825,784,379,177,578,411,345,515,232,907,661,171,179,575,892,
084,703,566,655,973,366,716,619,572,100,551,262,851,896,216,617,872,857,078,
691,896,115,667,581,873,708,949,365,457,035,191,207,968,026,266,520,471,542,
851,936,683,852,072,385,690,216,254,817,838,656,365,417,249,785,073,895,235,
588,979,139,184,783,319,524,833,026,773,526,480,574,493,944,660,447,461,826,
295,101,499,903,247,042,827,175,766,042,570,841,569,425,888,698,139,085,426,
259,032,910,591,246,089,282,764,044,044,757,282,024,023,741,898,844,596,212,
172,153,627,377,256,299,790,352,625,693,309,613,820,136,845,274,974,927,075,
441,121,825,092,926,424,650,110,946,147,725,400,346,378,229,032,811,625,339,
994,075,541,253,927,188,301,348,829,992,331,048,248,856,958,031,880,338,364,
195,396,409,769,715,990,695,287,003,776,054,916,592,440,407,165,308,970,332,
391,517,477,917,080,299,624,035,786,239,976,322,663,029,412,455,001,577,755,
554,126,960,802,871,383,812,285,642,298,407,576,416,122,843,126,240,493,254,
992,341,523,533,121,473,428,949,805,902,089,066,578,769,530,909,782,924,387,
057,732,260,305,255,226,612,328,267,569,598,667,230,461,183,432,795,407,206,
238,633,929,741,291,647,638,889,012,313,113,408,940,542,627,294,591,661,055,
772,916,143,370,091,720,813,594,022,868,070,582,841,377,758,676,434,505,761,
179,420,557,382,641,919,327,546,827,504,730,317,273,903,253,326,527,970,028,
591,534,952,224,504,327,131,420,017,283,505,308,205,385,531,716,447,330,486,
378,566,469,904,465,365,886,091,130,621,295,224,209,712,183,640,330,696,694,
717,751,467,666,759,667,614,181,029,648,669,675,850,881,106,184,602,853,696,
195,228,525,291,834,362,042,401,565,649,011,468,634,793,517,715,388,490,908,
358,550,004,919,586,555,042,945,340,761,876,961,899,249,363,704,034,394,652,
763,244,250,982,701,440,843,557,909,481,234,803,453,817,800,231,814,242,859,
850,197,798,985,705,979,558,968,705,524,486,128,916,678,567,429,650,992,053,
483,312,485,013,791,713,394,599,807,542,855,600,757,034,533,063,514,050,730,
646,077,558,402,064,986,293,605,638,807,967,599,052,820,663,945,840,109,247,
482,031,236,291,732,936,882,824,841,184,742,719,998,763,410,600,298,838,872,
814,090,854,838,597,811,198,364,738,451,236,017,967,438,942,402,309,651,478,
632,083,675,386,518,473,352,829,401,166,771,372,088,970,955,908,783,730,755,
270,310,897,199,984,311,915,884,607,878,006,752,484,262,244,248,798,000,524,
410,937,992,753,887,643,735,279,465,274,654,337,179,672,028,073,767,314,857,
216,556,707,227,784,695,749,142,829,652,893,076,791,017,553,940,175,426,524,
595,070,723,234,780,343,094,508,953,129,600,130,481,634,343,196,028,371,334,
798,721,727,889,628,802,881,173,287,221,992,733,557,192,603,263,994,835,047,
278,285,586,606,853,274,850,308,547,125,018,690,165,184,447,692,464,344,564,
432,335,690,343,228,855,861,289,229,226,310,662,097,587,130,240,908,940,076,
403,666,159,266,846,760,595,457,868,355,439,004,734,047,095,283,130,757,315,
182,276,215,759,244,153,762,191,480,032,992,545,510,109,533,924,546,466,111,
660,831,045,800,419,826,394,471,164,183,242,463,801,695,283,702,397,004,107,
160,276,766,880,027,026,193,497,779,905,232,977,630,810,453,304,340,123,748,
759,915,609,008,483,458,831,084,879,502,921,706,993,337,582,156,262,078,013,
900,099,266,062,615,798,297,035,045,983,214,988,227,777,794,564,161,040,546,
461,863,776,187,309,642,486,274,110,393,433,410,768,834,854,226,262,379,995,
672,428,780,596,237,421,445,503,964,231,717,205,981,364,169,297,050,494,599,
162,021,892,361,851,273,721,643,762,326,767,522,498,022,872,403,116,578,923,
333,299,536,478,551,720,160,046,909,590,649,105,472,668,593,463,449,478,929,
953,060,984,184,728,661,022,916,851,236,171,527,182,468,446,487,549,342,275,
325,843,046,930,260,225,225,740,205,096,089,477,046,353,439,642,462,345,879,
497,417,464,433,091,015,715,672,130,718,426,557,823,629,730,585,999,677,560,
716,063,473,750,434,054,150,163,691,221,900,812,361,680,413,616,245,057,036,
222,702,225,913,799,698,246,407,276,702,542,228,955,935,979,180,388,278,231,
485,093,866,516,300,751,476,619,645,892,901,759,084,352,324,755,361,853,039,
688,676,162,096,387,318,915,358,925,528,767,399,447,902,883,006,420,302,717,
841,154,104,348,130,610,946,182,342,331,073,270,879,075,167,494,186,785,611,
490,516,035,296,559,915,052,500,736,187,960,486,204,595,523,271,255,364,896,
930,909,207,203,213,364,930,787,540,117,326,458,286,053,633,688,078,224,306,
150,656,658,519,062,816,871,658,713,069,332,488,587,899,234,929,976,871,363,
968,290,967,965,769,622,808,559,474,960,362,596,995,118,564,474,131,722,980,
433,578,161,143,362,434,221,125,525,910,772,067,169,562,145,500,847,635,058,
927,187,619,905,268,853,084,290,765,153,092,095,931,331,291,962,608,412,682,
033,985,566,093,640,220,997,479,839,000,288,026,368,602,964,845,019,616,563,
757,386,493,326,428,814,357,561,075,919,648,932,171,060,575,314,848,457,357,
481,564,481,897,794,792,761,052,080,323,984,539,315,950,342,693,422,117,107,
551,931,060,511,692,611,337,304,588,966,502,488,364,398,229,551,567,243,841,
419,483,607,721,283,136,539,698,651,499,398,073,664,876,510,121,277,374,240,
394,528,848,260,368,923,156,166,889,207,300,351,294,229,862,712,889,837,908,
668,242,010,027,615,520,490,299,551,815,950,972,258,056,072,084,670,885,929,
292,241,240,804,595,681,085,942,929,461,987,378,586,275,860,074,371,682,405,
357,605,295,481,843,508,032,385,286,127,588,711,683,949,064,212,600,619,292,
561,847,977,238,624,060,369,007,614,420,294,449,035,975,749,472,169,894,414,
489,767,205,680,835,486,692,316,422,576,220,078,377,170,972,227,825,395,421,
423,139,821,923,505,085,980,804,445,619,970,900,827,388,145,802,180,688,244,
555,677,637,775,577,228,116,587,657,518,703,706,824,340,675,641,236,225,667,
761,509,005,201,651,144,999,612,233,366,514,146,277,176,840,542,131,302,244,
851,643,993,625,426,037,685,082,162,671,329,032,919,499,824,304,299,118,210,
882,440,566,494,916,985,466,257,626,711,575,529,783,564,995,478,528,386,496,
355,675,949,348,391,813,358,348,729,949,683,269,928,758,357,041,291,284,901,
763,603,267,466,417,802,340,249,627,073,543,156,924,363,366,480,012,257,721,
985,652,500,710,433,189,719,510,975,300,782,891,519,132,648,706,846,814,038,
848,816,755,350,561,028,202,435,904,720,251,060,226,663,707,068,523,040,178,
967,834,477,636,644,604,509,306,521,461,909,591,395,526,310,382,645,508,135,
283,648,395,633,075,897,194,351,708,336,346,495,942,438,537,868,071,852,535,
745,354,451,881,134,977,055,785,876,091,607,419,088,664,365,608,808,459,941,
945,581,766,442,132,987,449,753,680,934,382,831,983,467,518,116,445,996,144,
488,547,344,970,208,798,504,740,407,706,046,897,312,895,899,692,288,429,552,
627,742,562,149,173,081,816,005,396,155,924,076,222,724,341,326,384,224,261,
360,426,256,269,309,590,454,395,305,119,532,774,811,813,833,185,337,191,889,
640,036,616,838,535,385,854,463,446,676,051,082,251,314,460,820,710,057,409,
158,734,348,961,341,282,183,352,479,068,000,573,993,236,372,292,664,863,054,
692,028,737,293,577,208,338,293,903,743,125,251,104,198,173,869,482,315,919,
487,972,287,418,317,766,907,950,500,975,328,375,124,986,657,151,648,547,238,
109,911,320,355,317,142,165,735,983,583,172,316,284,700,099,962,896,714,050,
760,537,352,943,743,574,682,018,033,548,525,283,635,023,624,916,397,855,765,
079,971,383,073,057,869,762,408,345,430,254,679,068,257,510,273,616,799,197,
536,493,171,321,797,322,249,164,988,855,802,551,851,887,888,175,169,877,847,
191,610,165,172,226,699,534,903,820,149,652,151,389,256,202,326,540,058,937,
024,413,663,964,463,585,723,099,963,496,328,107,010,622,453,486,721,992,174,
098,777,482,801,126,990,704,130,341,541,652,071,799,473,004,386,157,010,599,
974,828,654,644,549,214,210,215,991,023,273,168,029,580,527,267,340,196,396,
662,875,323,064,213,718,625,938,421,020,717,719,818,292,727,645,644,041,955,
790,170,203,088,518,706,997,212,526,162,356,166,989,018,125,265,694,653,825,
218,497,971,402,352,704,156,967,351,224,734,462,656,331,059,057,158,652,696,
899,696,364,855,280,265,439,726,653,839,599,921,579,859,911,303,277,818,071,
563,285,955,043,252,567,443,245,412,297,381,738,166,088,961,963,656,360,713,
510,657,838,833,315,130,690,492,006,574,634,317,447,190,277,264,509,247,242,
108,979,152,531,900,550,334,802,251,440,093,848,192,046,705,314,978,425,170,
908,153,941,434,471,101,254,093,549,881,271,681,980,291,508,868,918,139,116,
942,549,041,842,544,436,395,394,068,914,583,240,686,472,660,767,705,797,827,
964,723,901,327,434,748,636,894,046,126,324,986,633,328,181,413,419,047,677,
670,736,360,915,147,688,154,689,795,487,680,554,450,676,705,538,592,942,809,
901,463,623,357,267,650,251,133,511,084,883,418,977,083,704,473,010,789,730,
141,554,149,505,887,950,808,963,505,521,896,499,602,474,430,649,116,938,093,
892,866,718,206,227,501,162,617,103,191,696,299,711,947,001,667,530,827,503,
817,577,855,733,095,127,703,010,202,305,653,701,478,512,326,952,127,711,912,
568,881,057,590,641,691,658,500,334,214,828,841,723,520,311,106,031,586,217,
107,414,877,999,058,828,231,283,702,154,917,793,055,312,583,751,689,770,843,
969,344,190,932,643,378,912,734,859,145,934,595,969,277,134,924,023,563,906,
198,333,209,061,036,035,875,342,050,565,627,996,067,462,407,464,234,989,602,
801,646,301,225,392,558,532,428,844,244,410,234,961,670,629,053,871,264,796,
259,502,002,441,137,230,044,846,352,055,497,378,318,395,469,028,355,404,041,
174,880,855,385,861,960,736,957,959,234,398,982,255,818,980,234,347,663,351,
186,601,047,253,783,383,220,615,095,919,651,945,033,234,565,142,714,352,159,
710,700,788,381,502,735,846,285,267,015,036,644,649,804,543,056,287,940,058,
724,298,468,790,748,199,881,155,453,526,532,543,062,877,711,811,940,355,681,
872,212,722,784,777,949,135,445,994,347,940,069,897,453,002,920,206,291,920,
278,139,118,141,638,134,777,978,134,352,716,332,319,789,791,472,639,376,375,
300,610,007,325,204,886,695,968,324,360,464,289,857,538,533,090,687,643,152,
607,687,257,175,295,780,985,823,960,091,955,417,238,881,057,872,824,696,002,
795,613,031,509,020,899,986,111,583,882,038,176,009,162,953,806,818,103,551,
328,025,570,744,710,382,056,557,125,267,269,420,800,539,232,271,594,246,937,
787,074,905,113,545,834,429,842,905,357,738,795,051,635,074,889,868,804,539,
643,708,741,524,432,595,008,847,634,535,519,821,571,657,892,847,385,889,307,
046,850,667,239,173,528,432,103,143,644,747,845,135,465,990,824,167,223,911,
070,084,608,031,017,023,675,518,871,820,799,173,983,593,803,679,878,801,004,
789,210,066,702,586,153,850,350,557,172,896,274,842,241,402,024,817,593,243,
773,869,690,057,172,501,635,667,463,371,381,685,353,096,916,074,042,613,002,
013,940,277,343,267,787,325,866,121,972,956,580,097,727,213,697,734,803,800,
207,440,980,125,217,300,266,129,649,042,729,815,386,082,181,377,174,350,350,
973,866,373,375,073,936,933,883,580,698,926,075,891,105,010,271,776,387,293,
714,002,536,426,200,518,379,195,487,283,071,638,946,105,054,630,079,900,256,
058,970,359,971,223,412,957,593,635,206,701,959,765,638,739,208,078,410,168,
771,441,007,324,737,641,688,962,881,101,392,621,035,126,509,218,918,813,527,
955,892,575,383,427,466,991,125,172,873,692,641,996,182,208,166,592,889,282,
769,596,184,629,481,728,221,601,869,082,394,295,778,405,431,283,705,848,296,
822,241,267,166,122,926,978,599,804,994,070,732,786,328,973,700,434,224,649,
397,278,415,072,413,702,189,410,516,317,199,111,276,641,763,302,260,414,001,
047,240,678,170,574,894,626,219,163,461,176,388,388,427,420,604,541,218,581,
475,506,343,025,005,139,379,072,376,977,867,148,488,425,695,591,703,329,168,
163,214,634,740,627,636,202,470,757,432,349,851,933,759,022,994,869,844,348,
589,284,101,914,972,715,235,755,740,772,276,632,353,455,070,229,030,829,107,
356,129,536,271,735,042,760,644,697,776,269,679,150,050,562,912,777,210,790,
682,310,028,689,493,334,892,223,082,453,849,737,846,076,047,553,004,396,919,
484,750,284,726,591,817,918,865,695,654,787,437,557,389,187,227,508,812,590,
805,888,221,946,433,006,117,050,528,138,447,895,168,025,347,058,288,203,519,
299,771,460,866,127,641,464,093,835,200,232,774,735,364,160,614,004,728,056,
604,826,589,490,507,243,610,277,109,244,649,975,755,779,273,735,316,205,773,
321,270,913,855,136,478,432,926,780,434,912,735,717,531,096,883,262,331,578,
920,233,875,165,729,466,487,753,800,578,948,874,389,188,504,869,175,508,728,
149,131,919,780,516,826,566,081,855,494,800,095,633,913,964,038,164,269,090,
393,498,528,332,707,215,234,620,308,273,915,512,146,293,683,726,005,850,241,
969,362,203,259,147,530,256,501,551,185,060,720,177,369,064,669,816,184,601,
510,041,860,868,275,804,464,490,103,264,000,163,988,670,704,533,484,981,866,
748,989,714,790,667,299,240,045,005,600,149,793,050,721,055,643,523,838,314,
935,025,682,232,402,205,032,493,773,843,091,234,046,150,378,691,191,712,702,
404,042,468,687,929,004,483,858,534,045,106,803,639,501,331,905,385,779,790,
787,200,318,340,085,531,089,307,551,586,415,382,297,650,879,573,566,030,394,
883,316,630,153,655,912,334,549,056,166,893,331,576,439,824,383,286,123,886,
808,294,620,850,077,015,615,555,971,251,062,529,345,520,593,398,121,351,952,
588,831,416,140,497,684,845,880,542,682,933,421,286,202,167,726,301,680,930,
556,479,024,888,459,936,872,350,057,127,110,647,778,366,245,864,550,943,653,
836,430,662,504,450,676,037,604,401,084,687,118,949,005,780,054,679,231,591,
997,788,599,610,392,629,522,795,647,009,866,979,443,627,641,003,650,708,886,
700,363,519,820,327,270,009,554,873,698,476,212,841,455,551,940,772,913,324,
397,281,702,869,160,094,466,106,470,942,069,659,314,089,507,227,003,304,105,
114,968,779,542,535,842,496,101,152,310,973,783,090,541,422,319,519,274,811,
324,209,530,994,683,082,387,248,822,084,645,435,693,277,525,058,817,647,934,
294,886,359,751,547,876,351,893,180,715,786,452,659,934,870,063,966,376,344,
457,319,414,881,213,342,310,754,292,323,576,731,666,338,244,534,578,812,176,
777,694,911,604,086,846,826,350,322,407,945,711,848,204,820,758,242,095,234,
835,639,329,552,632,005,892,139,632,312,681,996,464,482,644,816,896,368,273,
575,196,496,669,325,662,531,503,992,301,148,753,315,299,586,387,848,443,973,
191,241,979,308,269,661,609,466,427,123,316,291,734,369,658,027,930,638,114,
939,435,018,075,628,725,994,343,087,207,620,082,880,215,720,044,200,823,445,
658,866,795,521,099,747,486,130,105,792,681,719,274,421,608,551,410,786,236,
013,408,303,328,207,292,890,784,598,150,986,704,407,215,345,699,573,026,801,
985,023,160,521,296,344,263,461,952,408,676,539,095,610,100,522,215,476,432,
724,570,425,764,605,588,635,042,262,155,264,960,436,397,337,375,766,935,198,
443,395,426,732,749,240,049,629,778,561,084,471,998,824,973,710,888,041,485,
601,237,833,021,501,352,158,842,249,597,219,851,324,373,673,805,064,874,284,
615,612,612,134,761,968,787,433,797,493,326,147,369,671,916,388,274,737,251,
199,006,336,683,830,804,526,303,431,773,898,973,512,755,575,773,520,318,287,
701,609,770,911,217,572,765,436,928,326,327,421,602,893,825,301,054,322,162,
428,622,131,361,445,172,090,787,972,018,658,655,956,000,463,346,384,296,608,
336,275,123,152,390,981,174,153,843,690,913,164,662,464,689,853,962,686,037,
637,334,376,577,408,806,226,075,813,238,280,775,984,821,205,171,376,421,675,
832,035,594,028,188,083,321,426,466,207,641,667,375,167,408,132,804,984,018,
101,539,072,492,161,086,466,779,150,337,016,876,920,865,147,427,821,352,488,
544,709,451,530,059,207,331,290,565,609,557,889,071,285,799,961,632,876,897,
009,791,839,992,507,706,110,516,027,812,915,575,637,253,868,514,275,998,666,
960,802,309,168,827,744,512,737,570,286,043,085,019,115,777,471,046,420,828,
623,922,317,288,022,988,704,380,362,342,405,954,528,611,992,333,621,951,674,
889,552,238,379,389,958,952,454,507,891,816,627,623,829,938,937,624,838,188,
927,765,004,113,886,402,401,930,427,449,154,121,777,747,713,365,106,483,314,
078,626,723,376,342,729,302,124,701,645,408,743,409,160,212,987,027,454,340,
658,145,194,734,633,145,728,247,649,151,858,565,882,203,756,959,827,589,595,
997,950,810,362,631,245,410,415,251,091,516,842,979,550,392,118,571,490,560,
726,665,086,208,884,393,742,018,339,009,020,328,349,159,535,385,966,636,233,
421,180,069,409,677,321,271,133,932,588,837,974,590,113,348,360,168,439,028,
548,329,787,740,473,851,787,582,647,496,246,011,973,652,590,066,937,547,760,
149,162,455,351,798,034,090,079,940,841,986,133,788,556,644,784,130,880,233,
341,555,287,055,465,662,489,053,256,676,463,397,481,046,432,043,427,806,331,
929,671,213,597,997,711,296,355,763,880,374,306,902,459,178,591,276,640,996,
319,619,678,409,359,643,456,641,136,120,696,303,105,502,003,694,547,701,035,
590,628,413,795,179,490,638,715,147,263,032,618,050,092,279,000,131,825,797,
488,772,232,888,356,145,278,609,774,377,379,968,914,208,475,923,322,915,652,
563,182,209,540,966,361,625,831,798,085,158,113,313,568,040,158,729,014,061,
472,582,708,755,745,098,302,030,943,323,221,344,458,064,143,660,209,847,725,
351,390,111,632,720,045,078,429,536,003,849,873,380,252,373,277,753,186,745,
544,155,257,825,334,341,012,955,660,516,113,414,382,488,793,542,893,484,360,
339,297,271,247,412,402,931,243,518,811,431,466,222,750,805,773,761,239,170,
991,365,628,070,009,230,808,937,290,423,018,480,869,699,653,369,532,588,916,
978,473,082,685,607,290,805,398,535,285,057,129,265,348,833,987,287,743,029,
058,123,434,736,290,389,434,129,555,457,511,653,742,008,849,161,365,088,259,
676,555,835,518,252,619,450,002,387,182,262,468,299,910,967,147,993,743,282,
061,413,979,834,982,856,810,031,984,159,166,360,576,542,269,269,447,102,381,
336,786,536,570,445,514,900,622,542,702,593,220,529,474,360,704,285,405,414,
418,160,814,242,215,904,976,617,039,973,366,412,259,618,633,636,050,734,054,
388,495,197,186,397,129,126,072,820,143,862,027,900,566,959,893,056,669,808,
825,322,199,323,336,844,576,059,202,335,458,347,219,798,441,768,483,067,069,
066,530,452,106,185,676,781,122,909,582,734,836,211,936,902,685,490,050,755,
240,527,323,502,811,844,034,018,792,946,291,914,431,482,201,447,063,814,895,
049,755,919,372,270,358,699,412,402,463,353,279,982,602,594,190,269,523,525,
209,584,547,604,133,397,965,462,426,109,902,306,836,255,282,310,894,181,675,
786,134,470,754,971,048,649,376,845,045,838,969,902,475,642,827,388,208,155,
258,017,578,406,366,052,039,153,101,817,764,718,555,398,147,848,004,551,333,
121,192,347,879,633,977,230,474,760,263,712,164,996,114,657,228,643,765,757,
036,504,996,667,767,726,903,626,918,222,321,378,608,753,358,293,957,321,302,
995,270,917,022,472,991,265,480,838,153,737,344,906,983,514,193,792,646,184,
011,961,555,267,691,904,587,515,299,688,259,720,792,756,930,122,110,657,237,
204,870,479,879,244,557,432,598,562,697,653,854,469,577,556,511,008,039,855,
621,244,010,273,071,942,575,609,047,459,779,880,408,095,229,448,095,669,360,
804,380,876,381,166,730,812,049,822,116,107,752,957,380,308,616,138,937,648,
673,756,295,366,376,271,571,471,508,958,379,888,061,207,061,962,472,501,077,
296,416,553,626,948,909,457,811,108,576,195,437,377,038,555,162,321,955,622,
897,651,727,379,105,717,468,287,378,828,065,933,020,195,698,293,073,016,142,
548,525,474,636,560,105,101,752,233,100,426,595,460,050,196,332,125,753,939,
606,742,155,625,082,357,468,252,188,047,646,836,203,647,820,148,373,447,008,
362,825,639,953,468,364,777,644,440,629,325,987,033,736,217,648,522,623,233,
540,393,648,280,933,198,166,056,986,340,880,092,392,907,098,267,853,124,760,
418,966,754,545,944,550,158,837,689,503,524,591,753,206,015,827,186,491,097,
148,784,194,205,667,189,510,142,705,274,223,120,018,141,649,593,526,550,112,
194,460,934,176,307,677,923,864,899,627,525,629,130,719,194,611,141,082,794,
952,417,462,165,524,617,433,422,267,300,349,969,889,365,540,920,331,037,882,
459,647,128,817,124,251,667,122,691,845,096,942,782,806,395,369,043,456,657,
929,520,885,040,653,620,355,067,003,069,767,310,916,069,064,186,387,829,617,
506,168,202,228,703,924,330,977,809,393,477,244,771,798,338,805,324,164,556,
578,971,397,362,533,044,957,403,317,133,291,434,128,276,040,094,390,169,073,
382,621,981,694,066,704,505,549,328,255,262,093,240,534,173,668,981,217,149,
590,060,319,540,776,148,610,853,917,615,239,003,560,529,764,231,915,176,790,
532,642,487,492,395,154,414,783,845,082,445,238,098,839,483,686,455,825,830,
756,192,730,023,470,657,009,118,051,014,690,336,567,196,564,021,446,906,914,
877,571,244,952,285,442,681,076,051,121,104,389,185,874,956,193,985,733,953,
858,362,113,204,439,217,150,592,380,791,192,476,078,774,194,307,312,606,106,
715,636,203,985,403,589,515,921,200,792,853,139,307,190,751,497,344,477,634,
620,943,083,765,390,837,518,678,360,852,892,907,344,085,607,092,927,370,199,
908,171,409,667,746,855,767,220,549,144,274,237,464,744,328,128,577,238,009,
578,373,428,282,669,558,183,791,916,225,924,554,789,046,996,233,879,673,605,
998,501,988,638,138,939,639,191,243,635,446,313,045,889,031,697,400,106,151,
859,136,797,861,408,354,654,341,921,065,752,740,144,010,426,671,542,435,986,
689,152,879,085,767,484,466,707,664,912,178,123,639,170,032,606,284,658,377,
613,523,332,510,537,807,763,112,543,091,805,222,060,107,426,042,301,413,983,
421,064,504,937,307,458,324,097,931,633,395,893,669,991,172,756,989,480,234,
823,037,349,272,251,470,829,399,522,383,929,856,886,055,964,545,422,187,944,
931,758,070,020,151,483,901,880,915,886,629,390,098,545,755,631,437,013,278,
854,942,628,893,699,213,102,271,195,408,056,592,071,705,070,401,377,083,208,
365,542,002,378,213,403,172,569,965,947,229,151,180,280,588,294,642,473,103,
588,476,080,918,439,481,919,453,904,863,529,586,072,934,361,228,915,586,293,
232,464,496,238,387,840,472,622,417,192,154,206,379,732,276,512,956,772,552,
483,835,052,446,474,698,042,972,018,682,294,440,161,420,862,971,156,601,385,
257,819,343,794,732,882,410,347,618,558,297,728,259,753,607,507,543,306,234,
645,710,849,739,183,701,793,834,806,839,517,688,775,372,016,285,725,750,970,
630,614,536,370,091,978,748,136,119,494,171,865,672,613,493,730,284,041,414,
970,413,216,788,716,988,440,930,239,035,550,664,643,013,420,701,317,969,515,
725,446,533,368,428,403,930,978,084,473,765,941,575,561,336,467,144,182,825,
425,034,494,208,812,792,939,214,527,640,300,131,167,124,822,940,419,165,549,
431,379,031,028,504,173,128,304,828,089,628,554,224,803,918,594,442,997,359,
755,979,627,519,640,146,770,675,874,600,982,668,405,838,972,421,889,400,668,
460,280,704,135,879,833,194,557,085,800,659,980,867,664,318,976,152,734,944,
135,876,460,766,566,062,488,999,233,725,521,717,404,280,258,711,449,926,517,
555,107,233,484,673,771,549,373,470,317,292,869,394,689,829,771,928,946,611,
269,740,868,567,156,216,520,484,054,688,622,717,614,905,957,557,059,470,337,
725,032,025,692,847,858,414,696,975,488,078,595,001,986,242,417,825,753,690,
792,708,974,345,979,396,576,226,551,025,482,310,292,720,057,450,088,057,021,
645,208,705,926,424,059,383,864,907,538,223,216,479,807,031,283,605,939,622,
442,997,752,054,303,159,135,505,515,804,800,422,153,695,247,450,794,488,495,
308,341,934,983,265,036,480,657,236,899,166,650,234,032,145,132,573,610,918,
096,780,211,171,579,843,592,722,992,813,391,643,203,916,277,843,936,934,137,
850,151,092,738,075,544,322,237,681,126,654,093,759,477,747,539,592,786,250,
949,471,423,756,045,164,056,510,400,462,678,338,767,881,963,838,589,703,644,
179,342,431,981,670,869,461,065,929,917,359,650,327,977,089,285,090,996,098,
461,588,690,258,329,071,832,298,376,929,465,481,979,525,859,485,082,032,777,
549,050,071,057,303,625,781,903,130,794,974,184,858,184,858,643,468,434,515,
022,085,953,763,554,530,695,410,020,512,372,900,509,148,093,417,468,441,770,
110,417,290,590,257,858,845,039,058,009,569,110,947,816,767,908,392,200,996,
907,331,551,987,088,467,372,239,147,723,589,390,405,839,830,504,768,014,780,
786,311,256,547,616,318,118,491,635,115,208,614,528,399,676,647,090,929,620,
116,694,087,064,456,522,884,205,040,031,973,582,488,753,845,492,504,355,190,
335,167,786,129,312,400,692,928,668,852,921,109,030,202,333,447,169,023,946,
952,082,541,543,234,226,180,197,367,673,244,826,355,444,910,079,155,701,886,
614,406,587,729,368,989,536,023,791,449,161,231,460,716,572,329,601,044,529,
777,292,266,976,131,663,972,998,626,489,992,849,846,984,301,932,055,633,277,
422,313,361,765,012,281,746,663,970,269,189,523,653,617,446,264,868,170,655,
321,888,587,743,503,201,509,181,642,752,365,878,329,799,953,728,049,831,151,
171,658,055,048,136,461,790,507,979,774,347,986,432,196,363,827,470,667,491,
166,263,564,393,084,853,818,115,219,707,943,049,227,324,044,424,065,036,184,
527,691,439,115,177,649,000,719,237,885,355,094,928,822,839,074,898,453,504,
621,111,643,167,827,350,829,045,757,220,929,173,981,163,164,322,386,482,106,
568,300,769,492,841,852,939,271,007,825,869,062,943,418,196,276,301,371,119,
184,906,552,168,285,005,098,353,523,489,229,548,165,262,434,042,977,526,161,
595,683,786,535,981,619,450,944,660,397,642,601,731,976,672,928,713,148,796,
095,889,087,465,028,339,487,260,906,890,210,445,565,044,189,899,321,233,542,
454,437,074,338,864,203,379,472,083,640,905,973,805,190,563,764,771,466,619,
646,693,990,192,604,420,353,086,423,951,174,631,843,822,280,404,467,320,345,
885,289,291,642,286,386,718,507,462,722,217,157,081,556,300,633,549,501,341,
816,632,716,863,266,854,877,757,193,258,858,833,103,373,807,312,394,114,090,
856,209,979,013,231,035,940,459,420,227,958,515,209,171,199,045,935,034,719,
918,416,030,849,688,427,989,235,297,591,534,200,105,054,413,991,165,925,071,
101,001,311,261,858,733,332,138,574,430,872,465,874,530,292,203,030,525,931,
048,135,828,959,005,988,302,774,454,894,003,721,989,394,643,538,833,620,751,
252,626,383,337,731,308,214,378,657,982,317,395,960,711,160,750,839,705,131,
991,960,504,476,744,255,581,511,511,609,332,974,151,323,001,848,076,433,415,
442,697,129,248,140,466,881,139,470,592,696,711,110,948,182,109,793,307,033,
705,272,000,521,208,591,321,749,751,879,028,566,012,841,519,147,624,044,882,
229,087,501,581,316,679,319,015,417,437,550,670,864,118,612,348,515,442,758,
516,851,345,952,889,548,148,748,761,709,367,157,704,914,246,918,237,148,300,
323,979,583,442,775,544,311,255,361,865,580,645,832,304,661,030,178,788,663,
515,105,408,017,057,995,603,959,459,702,768,755,187,149,420,738,413,917,505,
669,815,651,258,035,072,887,776,673,049,688,596,070,172,311,905,366,837,491,
084,306,265,310,635,401,756,069,313,147,949,545,596,207,595,111,455,191,456,
605,857,828,178,978,091,382,170,363,868,875,405,418,724,146,469,824,396,651,
860,841,723,476,418,817,431,874,405,769,145,164,265,869,113,523,416,760,036,
615,947,590,051,481,690,119,973,374,297,166,505,767,119,926,201,730,826,390,
239,342,576,654,102,177,058,913,857,872,005,910,985,631,992,973,678,508,575,
741,192,948,721,962,939,310,856,379,313,283,790,397,974,941,801,993,385,005,
972,533,264,590,596,792,143,769,302,546,260,716,627,638,128,737,252,930,520,
473,103,838,303,722,024,125,330,149,843,148,409,608,695,341,684,640,566,597,
563,637,793,365,637,753,401,222,515,898,984,833,924,081,207,522,625,043,301,
352,779,370,671,429,290,249,697,523,314,511,423,401,850,644,073,508,712,408,
809,880,117,333,698,676,287,707,511,706,573,974,733,692,832,944,636,643,186,
984,558,288,474,388,048,849,212,396,437,869,870,314,224,213,742,245,303,072,
830,824,431,055,559,429,906,997,669,983,031,023,720,975,694,312,667,391,802,
179,437,248,162,633,821,673,061,072,432,919,232,735,549,309,775,884,983,635,
597,171,323,479,001,909,638,281,663,699,586,962,707,747,554,210,634,929,905,
066,984,277,382,648,736,074,990,656,206,236,280,688,241,111,293,854,383,510,
999,656,662,060,217,927,351,274,520,432,785,954,268,820,682,673,725,649,867,
055,238,555,483,749,809,999,410,996,113,197,794,491,542,866,269,637,501,295,
946,542,605,029,322,613,586,117,138,889,072,401,392,052,264,381,541,010,205,
292,111,005,487,034,282,770,967,945,226,492,774,189,818,789,788,167,805,005,
396,820,068,575,797,564,784,310,474,019,509,395,224,804,807,163,499,906,712,
308,657,192,100,417,195,773,852,067,490,070,402,026,987,127,340,189,429,160,
007,257,686,024,012,038,897,240,099,894,151,485,326,919,556,991,295,127,873,
816,682,640,460,648,523,892,849,818,245,346,464,555,449,247,921,186,571,549,
051,147,631,150,935,357,196,595,415,357,253,677,561,047,825,086,349,596,966,
376,836,979,706,904,053,069,625,579,486,407,616,729,875,384,627,877,787,870,
131,736,531,170,175,632,365,278,652,932,300,940,592,586,935,282,448,340,375,
045,646,969,608,998,371,042,924,119,203,547,686,093,968,386,394,606,113,576,
228,588,293,278,032,495,880,820,590,677,508,823,492,661,446,115,091,532,308,
687,485,619,118,599,924,126,688,545,404,174,715,958,022,475,152,405,388,590,
913,118,641,564,059,383,967,561,242,232,455,776,128,215,996,094,022,525,742,
374,002,643,449,942,847,241,521,449,128,244,268,352,182,926,459,616,132,877,
704,644,942,215,196,226,690,431,947,972,923,132,574,245,460,182,000,081,564,
312,269,928,122,402,812,834,215,201,549,580,260,649,418,392,155,943,558,765,
032,551,361,291,999,541,229,995,087,405,085,381,820,035,688,306,094,080,073,
860,013,986,751,699,722,705,216,679,416,446,480,748,265,423,692,405,322,295,
644,416,723,048,654,086,245,890,957,820,107,817,205,186,808,136,133,364,707,
662,831,927,325,252,744,024,408,896,009,045,879,732,812,142,993,159,658,252,
925,811,491,850,058,160,661,953,327,934,082,114,604,867,586,624,269,084,816,
882,723,428,596,789,963,531,423,280,391,145,806,387,150,472,927,978,139,096,
857,702,425,344,182,244,842,033,017,554,527,126,080,645,711,507,622,551,908,
092,053,711,934,959,650,748,594,813,565,058,167,069,278,639,305,777,222,573,
622,206,686,866,899,983,420,260,113,549,304,551,663,959,827,570,671,117,899,
424,753,710,301,092,765,349,224,978,775,733,229,152,219,363,971,245,789,793,
331,592,808,045,201,630,946,007,201,384,642,364,730,161,968,751,533,931,515,
851,708,676,905,600,923,265,490,557,307,115,808,008,244,473,823,767,514,594,
482,826,816,189,716,850,467,098,203,468,699,596,073,851,991,369,150,321,184,
958,793,714,339,493,733,640,942,112,814,298,345,409,204,603,487,569,230,864,
566,926,259,073,610,545,796,951,230,217,908,215,501,523,425,312,441,332,637,
647,662,232,302,616,407,519,259,541,159,138,390,028,115,574,747,812,523,958,
040,626,479,601,188,933,220,847,543,586,057,588,317,404,058,944,358,037,283,
635,182,950,122,455,665,076,048,904,210,387,580,938,435,608,378,650,207,248,
501,990,278,974,523,692,857,852,687,677,719,430,404,363,948,443,872,331,135,
147,296,662,728,658,031,292,546,230,373,694,112,646,742,885,235,299,926,248,
431,049,897,936,341,150,203,982,303,862,979,668,253,375,605,562,125,986,971,
335,822,836,520,983,626,004,357,630,884,819,663,736,445,070,156,905,544,610,
861,998,738,024,260,456,464,065,920,780,935,653,100,915,021,959,288,379,054,
793,789,824,126,558,875,521,102,710,912,342,068,547,456,237,856,573,825,640,
052,930,646,524,363,086,718,846,595,175,308,688,920,088,425,166,091,176,061,
695,356,315,912,699,648,527,353,234,270,000,681,397,361,713,676,836,854,134,
547,905,775,098,783,131,897,929,613,659,941,642,981,096,966,718,539,236,355,
899,919,086,703,168,135,050,964,894,805,960,060,617,806,378,828,125,488,464,
327,292,927,256,544,429,483,632,494,169,806,196,606,485,853,561,651,867,225,
960,940,780,427,511,706,061,438,793,106,259,888,780,786,836,691,744,398,064,
098,011,812,409,871,582,100,287,830,174,835,622,413,610,256,323,903,734,800,
109,295,023,351,195,124,218,972,456,265,335,139,297,138,856,516,506,990,548,
258,399,853,657,232,818,103,778,532,919,492,477,087,422,718,323,020,234,734,
819,552,678,088,782,298,000,877,727,437,230,223,498,338,919,840,631,687,738,
340,416,902,066,573,440,904,553,117,160,154,547,021,928,932,730,810,029,448,
088,297,673,513,553,935,604,073,248,429,358,851,526,007,062,674,081,740,388,
494,140,532,714,713,608,123,464,059,595,988,710,168,342,851,059,905,708,704,
380,648,479,048,786,018,630,856,488,425,642,575,980,904,091,433,104,950,750,
129,075,858,766,581,653,962,011,333,131,551,627,755,681,081,178,339,754,111,
209,696,052,128,377,009,670,081,801,677,834,969,460,739,882,613,417,691,985,
972,936,018,355,999,317,616,225,728,966,876,233,308,452,346,667,275,001,889,
899,792,487,171,635,720,605,383,153,817,741,204,975,874,254,175,771,119,619,
409,702,047,974,997,694,492,489,150,041,821,114,801,766,690,375,677,297,656,
124,937,690,769,388,858,550,755,650,428,616,848,425,736,925,661,862,062,174,
180,941,937,160,365,498,585,382,204,735,083,762,115,289,146,916,432,574,232,
043,024,768,323,372,973,092,647,657,368,176,156,997,185,016,644,771,445,712,
524,755,542,073,587,415,568,994,812,472,623,121,068,505,592,626,231,523,859,
218,809,994,602,926,415,952,185,559,823,332,996,853,724,556,817,811,355,588,
932,611,527,911,040,674,380,193,106,506,585,447,272,177,943,152,866,929,905,
135,573,006,752,739,721,683,860,733,591,136,407,873,184,214,137,197,400,481,
666,055,325,151,271,658,312,453,436,275,713,180,237,436,072,200,909,265,877,
318,349,942,937,915,001,742,453,237,372,473,072,515,172,547,603,521,706,344,
485,819,876,223,319,499,498,247,782,076,408,400,085,836,974,748,979,187,407,
852,812,332,342,606,561,813,038,770,769,344,021,436,317,119,639,101,139,629,
724,283,031,598,703,691,139,000,494,698,910,614,556,655,567,146,213,368,395,
614,715,572,388,757,296,448,428,986,153,017,107,913,080,309,474,134,581,126,
654,762,197,632,085,364,293,022,180,312,577,576,385,980,109,273,267,281,821,
698,880,248,542,080,181,607,695,140,928,385,132,244,324,424,284,087,522,898,
142,959,433,705,749,537,343,989,510,872,805,804,240,677,434,030,804,883,372,
340,322,229,969,503,350,047,533,147,612,091,820,868,738,736,187,829,639,594,
199,264,110,014,599,716,502,853,669,466,705,569,757,354,426,741,367,772,634,
213,469,151,522,018,362,064,246,051,920,347,215,062,348,823,075,472,296,040,
675,686,282,829,976,007,474,844,957,917,684,371,234,442,250,991,227,855,259,
000,657,161,048,561,633,271,738,902,844,158,250,103,500,579,729,716,911,777,
231,103,025,280,676,692,383,138,641,998,384,566,930,581,899,384,347,559,084,
398,880,302,369,651,394,417,601,257,231,827,059,882,758,069,372,699,846,015,
360,885,331,099,447,021,300,473,600,388,352,022,956,816,294,174,738,777,373,
313,570,407,141,530,936,841,360,197,918,090,580,867,194,352,528,174,311,593,
538,551,922,989,217,334,018,535,527,929,975,993,146,093,777,698,593,367,522,
850,169,038,719,840,341,350,563,665,963,972,412,294,360,122,426,062,133,409,
616,850,972,685,391,538,720,572,649,651,932,476,243,809,870,970,947,169,308,
278,645,013,633,255,292,800,368,859,412,712,047,330,066,714,428,864,064,005,
031,274,356,382,786,385,405,242,836,755,466,683,329,789,702,780,590,502,310,
039,305,534,149,159,518,523,626,037,130,540,651,525,767,182,146,110,283,235,
540,972,552,225,848,702,976,057,738,600,849,335,825,542,891,758,336,379,194,
222,177,693,542,565,351,319,783,796,913,320,914,951,494,215,397,028,965,100,
060,935,709,769,267,858,845,775,170,227,918,445,743,247,035,022,584,745,132,
027,405,190,916,526,051,752,598,929,297,429,319,586,014,455,640,497,209,997,
508,167,172,137,719,773,326,357,540,018,647,668,037,617,172,751,340,144,977,
770,713,212,827,273,909,273,010,894,905,312,018,888,691,876,367,828,665,141,
258,806,518,549,247,066,517,733,638,334,498,781,584,804,182,913,542,411,834,
649,546,964,494,644,527,675,950,092,526,126,825,144,011,629,062,709,208,553,
761,251,142,089,490,690,987,260,078,820,186,283,138,159,632,444,941,778,650,
733,582,090,867,353,297,168,119,579,743,282,633,365,330,461,748,069,887,892,
069,111,701,281,474,107,344,564,409,906,497,190,002,246,804,100,470,747,909,
440,470,296,216,652,475,181,588,338,515,096,010,662,320,729,268,103,879,377,
309,907,454,366,590,841,438,032,691,518,399,382,550,913,829,990,858,146,310,
174,701,347,053,344,963,969,053,108,332,170,860,380,302,603,580,289,920,651,
650,596,300,197,704,092,574,524,995,984,282,829,005,201,199,653,241,052,578,
867,495,809,242,932,134,717,765,534,078,975,055,495,045,527,031,832,877,321,
937,543,860,876,608,066,420,070,809,262,295,546,957,015,310,815,650,719,052,
912,945,913,779,996,139,970,117,446,179,009,520,926,477,295,482,394,420,739,
403,079,703,192,814,211,159,855,283,177,199,531,726,523,439,633,101,322,147,
206,690,289,764,331,276,618,597,158,554,358,521,854,450,145,623,204,346,785,
257,347,906,181,040,732,588,527,128,673,597,055,434,138,547,345,337,907,067,
291,212,254,457,773,681,182,050,588,443,081,285,094,772,242,514,725,718,417,
316,212,181,604,898,719,773,144,677,048,365,572,901,381,461,825,313,146,997,
458,203,381,828,196,903,317,852,657,983,928,118,357,512,365,098,423,842,548,
906,518,318,156,004,458,887,487,023,035,320,083,116,137,643,877,341,381,593,
979,067,011,539,923,334,574,549,342,525,274,943,248,367,257,422,231,528,753,
984,096,710,181,449,833,927,733,021,913,100,918,620,215,628,127,749,861,231,
556,651,265,597,870,267,115,481,404,677,381,336,474,661,173,345,138,196,869,
918,726,395,501,597,981,904,640,929,419,270,903,178,642,423,187,731,148,426,
573,150,083,023,223,215,855,503,255,809,639,591,306,410,964,325,389,039,320,
059,426,716,098,253,506,831,801,452,476,904,534,378,677,617,193,841,688,389,
998,731,710,502,236,998,621,675,232,156,542,746,371,843,224,134,047,246,434,
303,823,846,111,492,033,840,511,359,529,613,986,911,645,818,561,710,331,298,
992,665,859,692,227,090,599,120,209,180,599,150,893,285,448,973,211,479,101,
081,083,292,496,429,948,537,169,210,550,791,512,692,176,778,305,736,831,515,
492,515,650,732,821,618,688,712,759,302,219,110,886,940,975,055,650,497,606,
816,873,267,495,241,790,488,281,214,984,039,392,754,091,404,886,271,804,546,
253,825,984,530,434,904,847,497,180,511,644,526,446,725,598,610,597,829,919,
292,550,692,115,637,627,444,691,627,270,012,336,650,570,540,801,569,966,279,
420,429,769,605,740,721,023,964,832,577,834,518,303,112,553,423,100,489,021,
470,005,826,956,586,992,769,962,098,041,731,315,855,551,917,168,049,362,269,
338,771,640,923,458,565,114,898,374,014,193,410,877,823,423,228,915,129,104,
476,285,196,329,201,157,607,263,878,109,835,581,278,626,240,752,499,488,880,
180,517,669,671,220,411,558,782,905,215,792,482,581,783,595,389,250,417,493,
596,684,591,397,547,681,525,094,216,311,476,593,226,477,898,760,633,738,867,
417,376,906,575,300,022,656,344,256,695,805,797,872,092,745,882,921,080,781,
064,416,860,904,346,055,390,607,728,405,206,547,626,934,897,974,327,239,455,
469,431,132,352,842,217,554,883,021,617,652,537,485,491,958,981,697,893,076,
960,884,254,941,337,446,662,670,832,844,989,126,368,861,208,485,072,184,520,
730,310,260,634,879,154,462,594,343,733,346,239,372,451,880,191,355,357,042,
496,791,091,525,045,990,164,569,764,931,842,720,567,229,171,424,073,267,471,
681,488,895,270,508,825,688,673,901,139,268,007,745,032,746,504,623,477,584,
497,996,051,247,658,616,897,408,434,433,279,052,050,178,032,979,837,850,360,
697,225,857,812,927,868,963,212,491,654,517,110,933,174,798,715,581,577,417,
714,565,615,092,862,229,993,574,016,769,055,298,173,654,545,707,551,721,562,
095,936,369,682,070,550,467,448,345,704,939,613,636,188,805,996,720,676,267,
077,170,492,026,915,553,377,014,661,485,050,880,838,077,600,498,857,493,937,
087,707,949,465,699,809,192,223,787,382,267,096,090,844,083,665,380,233,130,
411,010,961,119,686,176,305,707,709,659,825,458,617,386,892,740,103,114,446,
477,181,045,187,686,860,042,789,900,634,158,159,330,018,289,247,553,928,910,
550,999,294,600,802,293,535,056,594,430,921,282,339,933,632,863,850,772,120,
760,154,764,081,378,064,005,935,335,890,466,584,954,955,684,273,410,715,596,
220,077,582,446,012,873,755,872,734,323,026,885,998,196,472,414,700,259,656,
589,940,804,368,765,518,720,504,718,896,459,659,121,377,680,206,559,017,649,
161,648,993,176,915,021,202,630,601,943,508,361,819,556,590,180,936,352,183,
590,469,470,380,968,356,507,492,921,086,045,758,219,644,267,276,700,904,970,
738,826,662,689,153,876,386,358,692,018,247,262,627,316,685,919,760,954,563,
544,636,387,582,740,466,029,162,205,616,365,956,071,675,970,174,075,785,996,
640,086,204,668,112,941,110,738,350,008,723,339,217,616,637,922,026,760,942,
003,948,498,356,717,647,164,520,858,536,226,889,196,285,103,414,393,135,413,
972,458,625,503,440,109,961,967,054,813,320,311,935,288,926,012,949,385,867,
304,958,639,964,606,106,379,687,681,684,153,903,514,991,403,067,797,293,751,
397,211,958,616,528,658,874,626,216,728,173,307,301,376,779,244,622,575,230,
715,554,645,535,704,925,630,994,552,739,727,973,060,741,218,053,405,158,760,
919,398,520,106,276,763,551,130,436,495,584,322,394,707,058,071,186,428,650,
076,781,339,563,370,896,218,430,612,752,259,826,770,294,466,265,090,619,916,
532,282,439,297,567,347,984,520,722,349,570,817,150,044,090,556,228,946,876,
703,666,234,312,262,808,091,254,456,759,021,848,435,807,136,114,923,752,469,
870,655,879,807,746,292,323,560,147,006,823,956,305,731,762,528,289,746,482,
253,795,849,852,975,025,001,397,504,103,357,479,909,250,466,272,477,292,613,
471,359,558,832,533,326,404,894,326,209,888,725,510,282,605,015,354,077,739,
282,209,734,132,050,878,460,430,693,286,365,532,353,722,622,636,328,179,752,
520,609,774,556,065,307,190,929,351,903,944,613,375,249,946,235,982,899,505,
281,861,936,619,636,285,178,236,506,897,018,122,842,812,704,745,066,955,424,
055,144,352,250,181,581,051,370,517,972,258,450,679,138,814,684,785,690,053,
423,841,987,589,243,782,870,630,776,609,088,181,427,959,841,101,582,718,651,
692,293,397,505,601,923,131,831,673,482,751,236,789,742,811,178,184,298,135,
128,330,852,268,678,873,968,691,862,503,959,988,207,507,106,734,690,483,383,
183,006,001,547,495,219,511,508,121,704,265,688,121,496,796,156,651,960,173,
933,925,541,356,036,506,945,133,711,797,755,197,742,719,705,666,425,187,716,
134,990,906,486,416,214,425,334,448,887,545,358,837,060,424,025,940,489,663,
108,857,161,453,505,442,116,479,951,417,968,686,283,510,798,668,810,959,944,
726,521,769,194,231,408,278,354,521,945,210,656,910,979,705,648,196,488,749,
038,730,518,030,226,435,590,014,204,870,926,504,044,209,034,969,179,265,043,
660,696,033,179,413,126,844,569,460,402,689,883,441,968,243,590,340,754,533,
562,751,682,155,912,573,586,388,530,021,438,906,767,432,777,599,241,907,813,
211,125,334,709,510,792,294,719,952,494,477,700,507,884,221,263,164,791,583,
863,408,816,632,545,236,679,500,038,268,916,104,331,948,954,357,491,974,403,
086,728,305,605,173,222,769,861,789,761,895,193,188,761,274,153,840,156,168,
674,529,500,192,271,536,396,685,459,053,987,102,669,158,567,908,516,888,748,
263,149,161,214,549,200,003,301,834,828,028,403,707,707,477,587,124,790,229,
023,795,499,205,368,989,188,856,443,269,581,934,768,343,949,505,825,998,602,
735,588,252,344,825,333,556,913,914,628,388,281,766,969,108,089,115,016,483,
449,785,500,972,741,072,381,557,248,806,276,744,211,379,298,733,159,416,298,
287,153,628,990,490,751,612,808,198,152,209,142,898,340,250,808,774,660,328,
746,134,324,320,189,366,073,913,393,829,972,086,676,155,818,758,094,838,154,
654,035,937,554,583,071,316,085,256,880,271,781,404,406,986,575,780,139,781,
852,095,038,334,249,041,148,809,185,801,945,564,818,022,483,162,961,352,282,
738,446,691,483,411,214,488,882,559,956,685,287,348,745,393,658,271,750,606,
917,213,802,450,591,506,042,366,487,980,814,103,027,847,536,327,060,368,297,
418,074,693,113,679,673,166,340,836,003,671,134,330,671,911,767,953,210,290,
533,027,900,676,336,966,608,407,434,227,283,197,149,922,338,469,438,987,405,
668,726,823,078,484,115,771,934,772,802,395,504,729,277,512,301,911,042,533,
127,177,127,633,871,631,991,303,401,674,820,302,253,776,386,188,759,353,395,
100,617,964,678,559,085,660,034,529,285,797,907,060,627,519,277,554,899,651,
033,555,738,388,466,050,098,191,360,408,604,717,522,648,520,226,829,774,323,
126,095,806,850,681,006,274,854,608,795,485,504,040,896,812,343,387,444,195,
896,148,208,373,903,531,099,230,327,677,571,912,395,110,799,107,521,430,889,
867,935,008,965,059,605,145,113,741,645,751,598,642,938,997,319,028,842,354,
669,118,872,666,283,703,440,838,398,412,253,625,084,861,466,285,537,220,927,
711,391,267,631,951,258,429,897,276,562,915,610,604,116,575,869,959,063,699,
282,991,305,988,032,844,519,660,269,119,427,721,650,646,446,247,460,792,726,
750,736,217,361,720,239,425,670,131,321,555,217,528,808,710,408,873,099,127,
600,769,148,811,353,196,451,532,609,146,448,540,211,535,099,937,676,754,201,
335,309,296,429,488,046,792,999,896,469,501,053,514,597,865,713,325,187,559,
924,960,351,497,067,436,482,436,293,985,775,159,344,930,834,422,151,585,224,
344,431,322,978,193,354,580,594,997,277,713,844,638,211,061,395,514,749,918,
023,833,653,654,800,331,768,176,091,827,591,068,156,411,551,099,404,301,432,
587,048,203,156,088,368,526,773,016,006,837,031,352,965,320,189,118,518,054,
543,151,023,866,489,483,346,386,196,183,624,367,258,589,065,230,800,121,446,
063,252,513,354,585,139,526,000,675,542,652,361,306,508,356,865,215,203,339,
172,055,617,198,821,628,445,750,991,226,581,478,562,755,470,274,409,009,603,
967,174,221,024,773,860,093,355,907,923,948,172,553,279,020,097,678,895,385,
563,146,683,430,564,212,155,714,724,699,140,311,488,616,488,120,298,693,610,
980,714,577,625,982,476,808,324,678,482,272,593,428,021,047,086,827,464,020,
932,638,609,844,926,749,619,816,882,772,786,484,926,748,914,773,540,235,609,
103,799,428,101,033,763,711,132,082,111,217,614,340,637,335,892,138,534,582,
389,483,264,694,501,859,124,803,201,300,178,867,028,207,828,222,748,513,686,
273,172,907,286,246,814,388,522,995,247,295,929,772,124,709,237,988,985,764,
964,604,889,951,691,623,582,891,165,102,000,081,763,282,304,751,872,979,699,
620,121,857,297,964,142,463,721,880,584,731,935,261,038,067,112,331,800,975,
856,944,022,703,151,703,934,885,298,134,982,817,195,368,219,802,331,231,278,
646,652,436,878,069,212,002,126,493,320,044,929,461,147,758,006,778,596,911,
242,310,851,157,689,735,543,987,911,142,668,124,225,211,905,138,747,193,091,
464,503,253,635,551,994,626,876,967,634,396,143,203,967,518,589,181,100,335,
451,732,798,155,178,232,489,858,461,731,876,314,873,693,667,246,846,925,839,
661,685,503,603,494,714,521,702,885,876,424,728,457,032,629,982,544,661,088,
728,015,365,013,923,600,463,951,800,674,814,796,622,745,763,584,313,188,116,
709,389,579,915,595,334,462,318,586,413,617,227,607,946,230,400,943,735,092,
683,716,922,224,974,460,084,358,528,393,651,286,900,963,542,442,765,761,769,
879,268,352,782,754,646,455,911,842,908,827,359,079,658,419,390,678,762,892,
460,491,010,100,378,021,742,316,718,532,358,585,617,430,687,115,852,449,734,
362,445,694,656,201,127,701,995,062,665,426,514,022,918,005,860,584,663,483,
268,975,765,762,019,243,949,705,558,034,989,412,373,294,577,928,895,346,375,
363,003,542,641,608,259,771,187,282,948,261,993,942,471,244,122,884,091,357,
761,172,795,878,297,423,743,735,872,033,136,162,902,848,885,415,713,716,308,
525,901,161,403,734,902,749,210,297,483,122,963,702,793,966,481,099,909,087,
323,276,323,970,609,862,789,471,332,746,250,485,796,884,635,339,028,852,692,
978,262,496,599,923,421,857,425,370,104,684,188,251,487,356,753,760,646,411,
129,238,343,275,094,967,231,253,795,906,207,172,276,822,666,882,041,766,847,
258,552,974,505,056,713,397,729,241,941,185,025,039,498,846,613,093,168,312,
104,330,917,145,876,758,034,393,671,852,823,693,806,648,769,759,728,077,626,
588,922,790,761,092,712,332,415,311,906,249,595,167,139,427,858,966,834,356,
703,662,671,788,182,725,694,210,310,419,747,135,831,806,400,135,764,172,771,
061,782,863,826,001,809,823,886,661,442,050,070,398,436,283,454,500,194,393,
030,656,611,582,163,718,890,692,662,967,349,400,084,669,468,915,416,736,461,
001,877,851,401,844,689,367,761,059,115,953,049,044,905,260,810,924,818,331,
675,114,380,414,549,044,035,891,014,694,633,661,519,442,254,861,316,108,071,
373,897,640,268,869,232,061,574,178,542,350,348,771,533,865,950,648,910,987,
266,021,343,275,154,766,601,717,671,033,803,178,384,138,989,552,811,261,882,
565,838,123,713,447,776,573,362,544,560,280,683,470,180,257,853,548,948,992,
903,342,957,319,581,345,502,107,846,518,877,600,882,959,672,048,562,096,876,
545,099,113,769,079,691,062,478,072,798,842,231,062,981,196,595,568,661,807,
307,891,379,753,135,655,208,777,293,997,660,911,054,467,036,383,855,677,486,
426,737,681,365,138,407,892,229,459,787,363,924,105,958,816,858,271,398,112,
306,376,444,590,997,543,137,720,366,230,518,463,175,293,361,745,697,520,732,
792,042,962,773,405,529,916,920,839,704,953,910,727,636,023,637,487,627,923,
185,417,230,427,352,403,021,757,064,425,307,370,451,852,525,436,360,584,142,
906,947,497,324,999,951,924,112,710,735,232,736,714,775,158,459,362,078,282,
212,407,787,834,349,258,089,776,567,334,236,896,277,232,382,398,228,732,521,
075,699,142,566,052,918,793,399,898,979,638,872,145,512,856,776,510,531,483,
904,328,963,069,422,956,856,149,692,910,618,897,672,686,154,067,838,761,759,
278,753,525,098,821,288,110,817,908,496,627,781,062,092,798,405,927,628,702,
776,194,676,890,345,529,895,542,283,942,538,301,490,304,799,139,813,926,310,
254,490,662,164,202,062,938,807,795,784,331,684,423,553,040,798,485,405,225,
643,502,833,503,687,882,469,427,615,765,397,569,727,645,541,684,180,627,496,
776,110,857,675,156,920,593,450,867,762,231,518,205,498,402,574,515,017,676,
197,589,184,821,185,343,968,135,464,193,035,573,667,365,184,533,910,996,264,
393,434,588,127,751,960,586,294,623,984,389,931,860,346,074,536,429,369,811,
464,101,142,617,882,351,687,550,296,308,755,135,760,273,190,069,787,003,890,
462,158,577,281,875,929,421,643,090,783,259,865,118,095,513,753,180,305,942,
098,346,340,767,413,293,723,003,483,250,853,585,769,714,933,716,740,645,668,
933,599,232,316,355,768,556,766,315,790,986,098,991,527,452,710,468,104,048,
291,155,403,598,018,514,489,183,211,777,953,038,165,046,710,344,311,365,463,
005,578,820,173,591,272,484,644,255,517,471,064,477,788,637,234,483,315,718,
252,662,474,766,322,056,214,050,854,764,268,911,129,379,162,119,750,502,151,
220,419,642,306,241,644,946,300,193,665,840,163,324,369,955,285,774,601,273,
367,714,523,335,952,792,375,979,787,739,905,684,355,905,215,709,589,061,041,
310,605,187,116,137,191,205,713,616,991,516,126,838,883,974,327,885,240,477,
376,362,897,788,927,624,552,248,638,889,859,987,326,372,993,348,605,841,691,
404,502,159,831,234,561,506,068,137,546,607,931,808,089,831,737,441,706,659,
691,065,857,456,115,058,461,379,296,466,558,926,083,652,141,652,007,596,490,
859,075,954,752,363,859,863,401,916,391,389,228,760,190,558,244,883,542,049,
342,836,487,960,675,609,443,335,445,813,663,663,411,302,341,912,165,956,630,
052,794,301,540,972,770,517,100,679,228,808,959,955,396,541,702,346,141,240,
656,608,660,914,011,528,270,973,193,090,660,251,148,120,339,510,065,072,927,
034,237,373,208,316,947,790,046,777,687,564,379,437,227,628,957,150,923,222,
257,672,407,835,840,130,585,602,614,299,666,562,094,610,638,872,717,432,829,
049,550,078,851,098,505,415,540,344,627,652,010,212,639,003,802,467,645,858,
969,198,878,102,578,134,937,916,545,865,748,790,266,253,105,380,332,662,695,
213,646,068,176,897,725,270,105,025,828,084,813,660,666,637,054,096,146,606,
190,257,845,627,855,020,922,995,485,729,160,027,756,689,357,274,193,048,281,
158,018,599,946,779,516,434,366,598,321,638,038,685,418,212,999,419,280,528,
480,198,538,025,776,054,630,359,364,122,637,465,563,290,941,699,556,709,506,
036,277,027,819,700,027,344,482,408,023,798,039,334,873,542,104,936,638,488,
800,148,692,331,687,236,547,871,656,099,420,851,248,874,444,586,785,246,718,
844,328,434,620,468,468,882,887,205,261,248,047,529,523,359,458,071,271,234,
240,074,329,125,149,486,590,766,640,114,982,521,428,300,979,555,584,549,716,
661,264,905,072,568,624,671,258,546,146,386,712,841,755,839,364,252,952,792,
011,006,227,636,450,004,274,342,883,849,517,629,543,860,983,119,555,491,171,
110,097,924,092,711,651,675,552,557,043,194,545,062,864,120,653,185,240,254,
867,260,243,254,957,532,405,218,072,714,456,888,493,107,042,690,527,586,041,
821,160,927,530,959,813,733,114,080,133,542,302,057,529,281,012,767,375,928,
360,136,457,551,170,537,360,195,539,755,222,131,293,984,261,651,289,032,840,
390,170,098,294,356,600,565,898,650,541,737,644,859,736,911,413,623,681,305,
568,662,883,822,276,886,651,748,718,565,721,151,626,002,763,143,050,676,308,
834,734,605,142,268,004,115,163,007,691,667,153,342,321,280,891,093,637,075,
764,374,639,347,890,364,869,190,755,395,219,239,910,382,458,869,764,707,396,
802,099,068,922,976,637,581,164,705,291,476,267,721,419,357,647,311,389,948,
491,718,094,152,478,866,641,880,296,590,522,609,881,254,385,343,501,953,987,
680,301,715,489,459,818,819,887,784,802,011,042,029,308,297,405,335,157,865,
733,374,169,084,133,976,770,029,035,543,614,225,345,798,643,923,521,246,206,
458,921,203,414,989,991,471,308,678,693,078,379,371,570,294,898,595,695,827,
838,194,688,232,558,974,359,575,170,418,410,220,028,828,416,630,777,239,886,
872,104,088,269,408,119,561,235,155,900,953,583,163,804,803,805,045,676,323,
451,518,441,480,629,068,502,840,846,142,361,664,971,703,297,047,827,433,281,
890,867,746,531,094,795,854,403,205,545,213,854,083,629,312,817,039,874,902,
785,809,434,845,622,093,591,538,179,436,182,930,506,526,905,559,154,579,950,
909,971,816,004,715,865,875,997,297,849,663,348,670,972,848,517,277,093,961,
350,855,646,501,756,279,692,074,580,338,021,797,541,802,705,260,344,768,455,
641,628,640,235,072,254,566,681,867,794,107,736,298,266,931,310,858,819,761,
068,032,182,027,749,415,242,144,996,208,011,966,775,437,743,180,649,469,729,
584,062,651,807,649,426,883,304,303,858,510,849,993,559,381,728,148,698,844,
486,914,161,079,994,304,358,969,937,793,078,675,464,526,081,474,940,212,183,
542,565,997,057,143,693,419,395,108,684,436,744,271,769,852,988,139,457,946,
923,993,000,895,410,195,275,512,972,648,699,184,048,612,944,379,992,915,844,
294,996,087,458,169,267,413,119,972,560,276,039,873,309,986,233,836,795,107,
975,686,787,963,542,638,286,270,828,965,147,542,899,579,218,744,377,315,003,
804,298,885,987,118,619,038,429,649,042,677,455,281,240,534,078,865,924,997,
618,737,231,962,895,948,915,262,100,789,965,833,464,252,783,037,918,579,276,
706,946,995,969,237,608,980,323,953,095,490,023,227,443,275,810,448,867,295,
910,161,979,979,711,755,854,643,594,581,500,201,882,411,811,342,998,182,550,
833,594,974,376,832,510,970,322,617,555,572,851,299,754,510,861,349,329,576,
598,650,442,880,141,421,071,311,555,552,985,793,080,690,048,350,374,307,933,
389,257,295,903,297,629,210,744,872,935,508,319,990,013,244,126,166,252,348,
428,975,737,933,721,516,047,164,147,629,433,613,252,173,391,737,239,511,499,
122,053,189,846,951,846,486,187,875,266,682,826,516,642,528,231,720,159,960,
697,658,431,607,488,845,160,646,605,469,474,866,063,618,630,292,795,735,179,
783,471,048,677,536,444,068,274,443,845,637,245,200,060,414,434,775,574,129,
010,598,013,267,306,774,671,949,122,066,908,881,044,709,462,813,005,456,580,
270,018,392,368,011,336,322,347,012,292,813,680,458,600,919,410,361,929,902,
745,105,764,393,944,148,066,600,179,382,906,866,348,754,235,020,632,939,713,
670,723,632,865,185,369,077,774,373,769,109,719,103,355,029,830,288,750,548,
954,616,417,768,927,560,770,694,164,864,176,375,360,968,867,097,826,207,547,
806,530,504,212,361,733,812,022,187,959,909,034,013,483,617,802,120,464,189,
621,097,234,846,520,383,353,488,434,180,557,743,191,476,984,064,696,550,670,
144,125,652,259,841,014,268,887,661,086,722,999,484,017,894,023,526,953,867,
772,521,728,149,251,934,062,029,015,535,461,227,114,466,209,964,892,587,474,
295,681,961,673,196,974,037,110,765,946,264,439,859,523,132,126,001,219,793,
884,668,093,969,349,525,724,959,747,442,906,597,959,565,236,428,147,262,525,
120,547,900,189,739,465,489,149,035,628,076,760,541,477,684,149,662,437,436,
410,262,702,346,697,658,512,774,963,300,987,196,924,051,799,883,866,486,922,
878,496,576,715,800,560,458,050,412,071,251,306,058,727,572,978,699,050,971,
663,427,764,618,389,134,600,714,823,773,263,923,296,982,627,388,854,774,941,
114,173,839,408,690,264,371,582,783,787,700,087,916,228,070,781,694,415,402,
484,618,246,901,091,208,887,592,520,432,152,887,866,730,142,963,694,213,760,
766,909,986,556,345,184,192,704,709,267,890,019,263,283,193,647,466,673,412,
652,882,299,980,682,499,750,775,450,303,821,804,938,868,031,175,479,960,729,
135,126,198,634,543,276,553,292,360,979,163,070,968,225,633,066,536,923,436,
688,035,905,903,941,879,558,797,691,617,377,976,404,933,359,060,269,785,843,
352,098,077,016,191,848,274,369,822,834,760,986,732,700,732,008,713,401,552,
005,174,933,913,447,475,000,170,020,849,164,026,889,760,058,423,957,220,570,
202,036,389,965,376,875,040,848,215,480,706,096,503,773,320,575,239,642,930,
514,715,817,658,239,976,628,567,614,295,862,828,957,588,807,106,601,217,330,
675,474,568,580,950,958,098,349,051,790,157,604,853,215,257,160,231,547,187,
908,953,979,909,152,856,632,037,957,825,383,180,483,332,259,866,645,992,400,
243,333,338,581,816,316,292,470,424,714,695,001,711,360,587,248,649,193,525,
141,203,127,768,705,268,690,451,166,121,294,515,552,446,861,843,725,981,008,
084,710,274,821,364,224,714,938,162,821,649,197,783,460,432,998,588,987,032,
226,470,830,508,461,577,846,739,782,873,297,539,568,746,937,372,734,987,288,
266,053,156,217,714,833,215,547,733,699,150,310,934,047,387,925,474,311,302,
026,501,509,331,758,550,096,641,589,079,751,813,562,798,728,733,551,709,414,
472,968,414,563,250,801,337,846,753,078,046,747,281,915,393,681,219,458,533,
558,248,298,958,679,120,397,597,294,169,127,108,537,862,004,084,987,553,607,
240,902,235,867,861,871,073,947,539,984,575,231,904,823,865,613,320,555,838,
791,868,109,108,163,975,602,813,216,304,924,264,031,678,500,706,699,769,959,
396,023,657,540,569,216,334,901,673,602,960,783,758,395,188,246,406,670,769,
882,696,910,965,779,663,050,201,072,347,676,504,162,577,907,017,986,840,174,
030,882,741,727,678,170,470,795,990,074,228,926,518,954,673,143,300,169,374,
690,150,520,959,818,106,877,925,017,554,606,578,665,541,196,005,810,207,834,
015,369,679,387,916,783,606,586,005,658,238,202,885,071,990,973,651,011,853,
489,318,962,150,726,997,568,651,355,611,229,862,300,323,691,440,087,417,617,
997,965,504,555,412,270,702,673,288,054,378,172,372,589,995,628,654,273,299,
467,143,745,334,204,448,847,803,970,441,392,320,918,646,925,571,214,803,386,
055,782,462,803,138,932,870,691,920,987,831,245,413,836,681,700,449,392,560,
058,846,597,230,369,705,378,079,047,333,645,703,727,275,973,307,174,822,381,
627,959,185,592,094,412,244,377,445,711,483,141,493,028,841,484,921,069,885,
357,248,980,119,912,695,636,339,315,060,803,529,976,140,099,927,726,855,339,
645,350,939,655,431,129,139,497,231,472,933,970,457,782,280,638,157,410,875,
584,416,789,784,383,804,486,929,945,996,941,889,927,470,083,051,469,164,612,
790,428,018,644,057,055,048,430,973,136,585,674,868,041,781,672,798,111,940,
121,652,053,590,621,928,212,770,951,082,355,252,976,246,533,649,080,359,624,
994,332,292,136,594,073,516,493,337,346,988,296,005,131,198,086,040,731,877,
776,415,454,975,513,753,351,736,402,205,141,658,474,060,092,913,863,467,786,
289,665,142,406,569,993,813,483,907,669,634,642,352,523,071,404,699,385,036,
055,290,921,506,063,098,619,153,202,113,393,852,266,832,260,603,533,264,539,
436,955,756,612,737,875,396,930,708,945,732,307,457,336,830,095,830,669,971,
035,990,779,943,560,271,160,381,850,544,476,588,104,344,883,794,679,671,685,
576,194,373,416,992,857,689,547,749,853,406,466,185,787,090,719,586,999,119,
781,036,935,355,609,063,329,932,630,231,922,300,357,560,180,649,567,086,661,
418,878,068,338,919,443,953,033,427,843,150,384,302,556,629,223,568,060,565,
574,757,561,469,826,481,256,413,152,534,561,016,281,326,964,165,426,208,294,
386,264,022,864,531,346,712,735,242,888,707,270,143,218,449,162,295,069,397,
601,278,049,306,344,557,127,233,197,226,776,789,059,551,728,856,986,840,323,
525,305,283,289,857,373,144,011,175,824,162,155,908,638,966,326,441,145,614,
770,660,441,043,605,404,009,060,118,211,170,518,956,935,594,614,067,619,145,
469,882,426,359,976,371,029,734,522,474,767,900,718,898,670,814,628,488,671,
122,059,781,768,731,841,910,271,774,483,772,204,867,875,023,769,022,085,134,
494,897,686,535,123,337,558,169,414,933,372,800,325,733,732,737,724,910,436,
080,379,853,955,600,585,678,921,444,082,346,665,163,132,645,630,713,627,821,
096,891,800,573,883,059,509,845,498,535,054,570,250,802,762,599,720,522,021,
915,593,624,364,615,298,092,480,370,325,733,769,933,459,369,847,421,359,254,
642,115,673,858,376,106,373,700,185,009,324,496,604,937,873,867,445,756,241,
322,650,308,962,836,209,983,102,631,025,785,435,671,194,024,910,302,217,557,
215,684,002,383,819,178,738,568,184,021,032,545,707,645,796,710,937,999,913,
034,055,409,606,516,330,966,814,553,407,166,318,777,571,330,216,749,942,985,
508,426,134,622,812,306,234,919,091,579,071,523,575,305,418,128,041,943,696,
074,176,193,451,622,196,829,862,001,306,711,278,972,017,779,338,396,898,174,
973,976,081,606,404,050,780,793,737,003,583,468,742,917,637,973,850,124,775,
201,854,919,755,773,333,372,132,558,531,272,657,070,164,403,109,954,658,638,
435,798,508,688,346,966,469,011,152,989,424,686,062,310,567,261,326,135,422,
891,221,083,527,373,076,781,018,607,416,908,100,747,461,883,608,426,316,396,
695,404,822,624,430,653,089,504,016,056,604,241,224,810,450,040,508,132,357,
812,058,229,064,433,810,033,700,769,215,893,446,070,539,472,280,140,387,741,
516,578,865,862,901,966,608,297,972,337,348,730,005,200,282,366,569,557,430,
599,322,064,282,274,707,435,219,126,539,884,563,841,653,774,561,741,065,607,
211,527,598,058,166,920,217,699,707,907,625,720,041,485,564,371,303,773,017,
215,647,737,970,618,908,306,324,220,168,630,236,177,383,814,023,971,991,898,
536,991,945,749,877,044,938,206,270,522,037,332,051,401,750,013,312,985,491,
624,190,658,639,088,209,780,495,235,403,261,447,555,482,545,718,067,626,599,
077,291,749,553,113,364,278,764,470,938,283,525,769,620,094,031,537,387,004,
007,906,884,177,251,635,318,931,132,973,873,722,451,477,720,643,491,495,953,
614,294,124,874,195,839,550,421,589,924,362,202,562,080,875,717,466,987,932,
098,908,252,043,090,281,998,311,914,202,615,783,868,196,862,855,840,871,556,
074,308,298,998,198,624,563,657,719,557,730,258,811,550,616,753,853,034,525,
373,596,999,959,064,093,033,130,819,043,953,349,017,611,953,783,749,668,229,
332,836,851,655,496,890,730,139,519,288,089,457,608,319,685,684,096,601,141,
804,101,991,098,050,566,326,363,506,904,093,396,932,916,135,174,777,038,843,
280,793,219,929,768,770,956,739,502,200,107,788,084,354,601,816,177,390,700,
686,246,355,955,407,118,613,717,985,709,057,836,198,918,620,201,757,092,706,
554,053,218,127,905,406,203,112,383,332,876,207,206,640,396,027,767,092,208,
263,771,768,433,340,135,242,293,700,203,996,975,191,393,568,954,014,725,100,
630,537,995,092,009,685,220,442,607,759,045,905,406,936,413,718,875,660,698,
711,110,378,323,729,935,532,412,167,038,220,136,825,108,508,575,069,571,942,
239,877,458,272,488,669,720,209,195,266,533,159,465,079,775,246,793,503,146,
444,038,632,526,271,527,605,731,493,327,358,092,287,882,312,235,246,691,702,
973,578,458,627,996,921,517,813,887,381,018,784,954,068,676,702,477,586,048,
121,492,305,476,693,195,154,094,744,117,729,380,893,074,957,692,285,681,071,
944,306,271,070,712,440,222,998,794,000,597,694,741,186,408,445,550,676,053,
323,332,429,252,252,671,411,672,047,203,241,548,979,897,314,640,290,437,153,
212,741,080,360,338,747,996,519,172,598,072,930,627,881,401,776,976,631,904,
418,065,487,337,920,067,857,469,214,771,531,366,750,231,354,108,915,734,165,
028,958,395,445,900,682,052,062,224,074,374,973,845,693,721,052,719,563,311,
457,706,453,444,333,818,588,267,902,641,248,314,793,252,952,159,238,905,857,
851,498,650,519,747,949,157,637,087,067,654,617,529,461,286,910,970,124,164,
156,415,813,250,273,987,492,524,102,286,129,518,397,311,761,288,843,895,549,
317,475,692,720,634,247,131,895,257,064,546,613,867,121,820,513,510,571,168,
967,076,393,393,737,684,065,236,485,643,365,386,513,634,058,126,928,606,494,
617,400,960,400,328,608,512,052,394,820,099,621,655,007,037,640,341,909,001,
383,718,124,910,923,392,390,544,701,221,670,669,419,268,611,831,289,294,188,
318,061,048,601,848,916,068,869,623,285,369,265,055,628,843,715,043,253,243,
808,498,177,792,965,670,944,007,185,838,158,158,656,598,217,638,389,039,836,
321,835,525,572,200,378,451,229,570,037,676,880,517,571,317,627,784,908,455,
162,799,867,555,959,338,915,003,874,044,993,637,953,355,313,730,789,430,758,
052,304,145,671,576,492,691,329,455,834,296,255,059,962,342,206,782,612,286,
989,130,459,311,239,666,737,370,318,067,223,789,589,977,560,887,066,785,123,
412,583,349,316,137,263,377,527,180,156,988,465,801,540,921,604,021,434,051,
392,765,468,852,598,435,730,467,481,962,476,059,976,258,609,666,110,061,080,
541,834,378,178,865,883,891,704,121,814,118,244,495,080,431,810,772,479,517,
014,998,275,094,948,816,707,316,591,083,345,925,457,763,898,697,689,863,048,
184,728,069,137,787,473,464,944,325,769,087,231,661,057,677,311,325,525,926,
022,526,569,020,689,433,118,389,366,928,505,239,414,588,030,393,538,225,760,
834,831,633,216,641,503,352,254,323,237,052,118,454,036,933,420,628,420,589,
426,637,923,918,491,223,596,782,648,183,341,919,425,565,744,079,471,097,196,
059,355,269,994,063,381,503,067,228,287,755,826,328,958,856,939,555,872,404,
538,016,114,224,550,548,359,963,312,433,538,066,268,172,608,846,024,264,639,
744,559,203,298,324,916,504,857,653,308,682,722,902,419,698,770,703,703,967,
698,516,656,420,028,920,166,232,761,627,840,954,399,974,133,071,776,893,204,
011,917,660,536,770,873,430,625,792,929,192,414,400,398,727,558,744,552,335,
371,139,399,916,451,748,650,636,503,042,706,066,279,581,754,636,542,285,732,
715,105,041,855,939,392,806,072,658,038,727,153,741,192,811,766,122,261,431,
982,239,979,580,138,476,500,933,280,230,311,324,503,826,206,587,562,566,142,
747,600,574,245,355,698,977,658,563,233,249,516,942,606,766,585,665,005,710,
816,502,287,164,770,765,968,402,627,878,906,447,050,222,808,661,688,868,531,
745,556,102,338,532,580,265,645,319,234,227,551,759,864,225,016,334,250,407,
825,969,456,265,410,986,396,557,392,878,142,447,717,639,878,374,212,449,126,
740,422,214,732,332,597,790,103,086,811,995,472,277,442,768,141,843,887,710,
754,571,952,899,068,221,954,250,908,977,852,455,476,365,778,419,734,375,685,
468,953,052,189,002,839,697,150,777,023,872,401,959,182,434,593,663,364,275,
677,659,599,593,336,582,758,626,535,589,296,674,269,135,796,237,444,337,650,
598,955,112,492,365,213,077,524,824,044,962,132,369,273,561,884,835,523,984,
497,801,172,906,797,927,882,331,727,123,158,731,470,589,553,499,628,768,921,
700,768,162,772,941,298,294,904,322,553,569,125,846,313,705,006,267,171,359,
109,028,170,400,582,951,413,166,619,518,872,309,820,793,945,422,154,212,075,
538,994,264,565,192,662,061,334,181,068,304,439,591,691,937,033,479,370,634,
330,398,826,520,486,191,684,183,874,108,251,869,635,366,561,591,457,392,183,
105,463,334,663,256,331,501,661,860,288,385,090,211,353,349,292,007,831,600,
356,235,690,147,056,405,884,542,053,765,654,794,207,702,467,502,342,445,693,
159,565,497,697,936,884,494,587,048,938,455,944,460,456,296,485,753,836,356,
676,236,023,414,428,078,986,060,699,676,583,737,957,432,883,765,679,370,411,
549,532,271,442,355,610,579,718,477,690,775,876,677,349,282,899,005,829,036,
566,568,613,269,071,129,926,034,650,374,648,603,538,415,550,127,664,781,109,
707,994,412,449,723,621,211,705,342,760,764,984,096,967,146,170,062,492,083,
916,285,025,311,988,156,944,320,428,319,107,995,292,915,441,678,256,230,192,
591,425,003,777,481,836,798,335,803,172,436,123,886,723,025,038,290,890,557,
664,776,023,594,088,353,664,381,470,893,083,238,380,759,892,657,700,751,222,
890,151,944,454,050,303,331,014,105,571,628,255,705,401,221,505,902,694,541,
854,242,530,772,161,501,577,559,179,961,198,171,728,958,764,690,438,341,380,
532,823,493,733,069,341,294,185,886,255,237,162,101,716,831,066,627,494,176,
809,224,305,294,821,249,421,407,835,553,978,885,666,902,731,154,752,233,070,
157,666,556,241,589,890,846,106,068,292,008,959,613,745,087,616,574,504,745,
644,136,130,001,754,790,854,221,132,627,012,710,354,215,430,982,544,772,557,
243,863,081,136,728,527,336,567,007,910,684,817,268,284,397,199,607,743,134,
141,431,901,696,701,290,946,733,323,912,618,856,431,264,441,379,283,446,300,
860,921,456,827,179,377,545,089,612,651,110,938,495,638,229,851,332,615,723,
999,571,502,473,769,304,258,415,219,054,963,364,416,371,079,552,907,296,026,
918,850,835,682,779,498,537,969,513,350,251,474,750,785,105,129,377,621,130,
452,779,071,106,041,118,869,069,173,536,380,105,683,221,079,193,205,811,858,
323,028,728,922,983,617,196,387,403,043,932,125,628,455,375,812,455,850,645,
870,376,607,288,369,781,308,590,300,554,542,738,988,748,010,061,269,176,481,
652,226,057,748,211,906,716,931,515,617,556,330,550,954,375,036,815,153,504,
432,737,203,970,754,196,517,995,688,785,661,554,668,338,243,209,200,676,789,
096,874,746,009,976,395,362,322,156,676,147,834,632,701,297,772,494,318,971,
559,523,823,374,174,984,601,093,160,490,126,147,352,718,959,922,592,664,664,
356,474,234,709,367,436,879,763,110,478,630,762,217,468,017,507,039,069,307,
909,270,619,898,320,328,270,966,909,529,498,334,552,521,797,923,319,845,414,
389,128,659,100,582,042,971,073,465,230,917,731,755,275,481,953,918,531,388,
535,349,323,703,063,737,147,670,508,306,276,827,850,474,527,838,198,041,924,
809,787,368,951,184,977,384,640,770,532,440,054,495,442,726,075,488,526,089,
446,349,705,841,970,638,707,581,612,107,150,475,300,864,319,514,627,774,917,
933,825,959,201,035,806,215,259,569,748,658,168,695,113,789,885,412,108,171,
009,499,328,856,007,384,959,306,275,971,672,646,597,865,962,683,078,370,016,
666,804,136,935,772,543,679,366,005,579,548,479,742,239,679,990,272,572,758,
897,139,245,672,323,313,904,657,348,975,172,424,188,222,781,797,418,533,524,
100,823,078,442,824,228,296,067,637,877,587,818,504,534,971,933,483,942,544,
899,442,448,922,432,184,446,952,409,705,977,914,377,299,587,620,062,414,300,
760,020,980,941,855,291,644,557,797,385,532,084,821,197,491,945,070,995,908,
425,354,134,945,163,559,018,590,270,193,652,997,159,718,977,592,896,915,648,
453,273,746,704,169,906,797,698,398,241,393,624,067,829,587,577,804,446,012,
697,024,255,258,859,920,839,632,628,774,361,989,117,921,042,255,230,695,534,
455,410,357,382,453,065,164,603,480,147,628,704,604,617,516,223,854,992,385,
203,896,358,012,053,909,568,703,906,548,169,384,872,619,586,310,503,900,819,
827,254,680,373,491,684,050,954,309,608,089,779,006,548,401,976,156,911,349,
400,179,282,068,216,623,350,253,200,537,874,813,013,635,447,244,765,955,298,
103,657,129,569,649,347,979,810,364,010,331,050,141,058,597,049,043,463,132,
310,756,844,496,707,861,501,992,928,769,979,367,489,259,025,609,352,117,413,
086,950,362,242,108,577,728,957,853,128,018,741,797,577,002,906,065,604,797,
552,816,544,677,974,647,841,717,572,718,326,927,507,711,685,301,038,559,120,
523,137,127,518,251,337,705,232,983,876,106,120,809,319,692,870,872,030,991,
091,771,764,142,765,416,167,107,849,853,792,883,503,661,256,779,615,853,140,
025,576,386,424,693,609,478,626,242,173,755,720,006,478,061,799,263,709,532,
094,175,735,756,237,270,302,509,269,722,601,336,265,372,581,841,273,357,659,
062,767,309,558,636,579,631,581,130,308,112,085,067,901,309,010,717,840,359,
933,454,557,275,459,565,715,201,965,751,891,994,396,134,782,700,464,806,074,
371,892,591,245,571,897,075,810,397,251,943,141,564,753,492,716,174,826,676,
900,575,183,924,815,915,785,486,489,853,799,147,549,223,536,707,141,284,905,
441,253,636,854,711,216,549,867,722,761,303,806,565,995,489,907,765,101,320,
555,635,007,772,179,289,466,370,728,904,634,618,602,588,788,699,836,030,977,
061,385,388,137,227,147,659,287,562,082,116,416,210,940,326,531,773,026,024,
955,444,508,863,286,267,598,848,232,615,936,010,261,803,847,402,155,718,939,
455,740,684,453,067,615,264,651,539,051,328,301,192,141,032,646,857,372,005,
714,839,511,433,062,244,604,781,757,796,870,767,897,288,707,264,856,443,041,
552,447,581,477,721,126,019,657,389,853,627,106,234,723,215,738,788,595,666,
799,877,144,227,857,640,506,791,673,192,851,504,827,032,626,267,807,351,787,
685,156,045,386,507,798,531,147,314,884,442,431,113,292,100,020,649,557,075,
862,605,681,958,965,861,067,138,813,704,881,126,564,026,952,793,216,198,940,
804,720,211,196,551,105,330,981,113,757,460,104,986,747,060,393,982,715,028,
519,030,692,538,116,697,116,983,292,830,607,348,023,830,680,079,425,698,699,
305,280,394,242,304,012,652,432,463,192,436,087,113,953,642,430,447,270,362,
164,304,020,163,682,162,315,245,034,123,209,543,937,167,318,419,109,827,618,
515,591,410,713,282,508,168,898,918,005,810,667,475,858,731,454,317,331,245,
140,540,117,384,832,582,094,699,371,550,011,457,729,726,235,339,286,500,515,
677,522,510,601,788,786,994,746,435,538,987,536,908,998,275,474,718,251,834,
769,667,820,158,008,339,156,583,080,910,849,056,398,824,960,297,462,357,787,
448,644,133,178,019,145,082,589,544,049,809,906,056,219,908,910,055,347,615,
359,736,004,800,901,987,313,775,179,322,279,107,304,154,156,949,503,876,922,
053,952,346,230,166,537,105,843,251,388,774,579,894,488,392,907,162,546,418,
572,357,056,569,886,899,126,308,875,177,787,070,874,291,148,355,229,826,335,
540,288,356,362,338,322,753,208,904,265,229,056,509,465,688,775,876,986,181,
527,953,047,107,392,884,034,291,268,659,885,553,926,221,864,323,906,402,281,
012,627,247,117,178,638,160,101,716,454,178,814,729,561,035,583,822,279,185,
855,258,865,006,029,637,918,123,656,326,321,105,548,983,335,652,820,968,228,
746,074,637,277,595,654,876,649,366,222,860,531,524,096,426,791,471,832,617,
835,819,680,435,538,067,428,717,375,559,978,415,559,008,661,483,085,657,130,
969,885,496,546,298,705,642,478,470,052,275,482,895,143,440,669,230,894,765,
903,443,275,049,853,660,880,746,145,830,093,691,233,829,793,736,738,828,921,
067,942,043,407,778,964,709,543,138,569,575,488,961,957,987,776,803,767,606,
728,825,074,280,501,624,789,277,100,969,218,188,052,294,807,267,975,789,317,
245,399,652,283,991,921,182,430,796,024,213,730,556,530,912,038,276,046,901,
165,597,978,171,972,368,265,439,584,464,217,642,859,363,252,859,313,287,441,
638,183,838,456,503,448,823,418,006,207,284,908,631,113,057,837,580,443,172,
814,900,193,485,063,980,489,708,267,732,167,258,474,091,273,767,588,189,359,
516,560,979,057,944,651,358,970,464,115,371,682,474,802,951,729,435,396,152,
781,966,658,469,829,284,200,534,020,570,565,791,293,475,435,896,353,718,320,
487,531,141,802,288,679,212,685,402,105,462,229,261,419,902,520,315,007,889,
741,937,576,584,127,253,548,536,266,453,495,354,466,941,266,825,932,117,012,
889,930,187,091,997,967,225,022,559,152,396,133,158,040,224,693,155,728,655,
168,927,105,931,266,018,898,333,492,011,930,202,748,652,022,760,945,402,213,
724,879,112,330,292,640,952,599,010,865,459,255,582,055,400,721,777,276,320,
890,216,827,461,758,571,811,831,146,872,684,229,507,409,157,092,896,463,731,
419,183,137,070,116,957,627,023,682,264,729,768,166,440,178,684,082,410,123,
852,860,135,532,160,399,094,463,232,142,768,418,226,298,203,279,785,701,808,
082,195,902,617,741,897,679,365,422,275,610,905,130,263,091,085,053,973,761,
971,703,708,186,512,450,904,072,427,393,113,492,100,213,402,137,916,479,333,
898,290,162,292,213,742,406,568,936,467,185,198,498,089,596,247,618,877,819,
101,636,489,905,316,987,311,045,599,140,920,522,104,100,570,210,653,092,308,
677,921,092,276,247,924,182,286,818,958,797,891,123,419,858,899,845,204,359,
345,652,204,520,384,529,638,125,199,447,694,951,155,018,561,859,725,620,196,
052,526,308,916,761,482,702,896,292,759,163,573,375,134,304,427,269,641,697,
641,024,338,246,348,249,803,080,599,763,443,869,651,822,214,536,386,117,346,
781,352,295,817,399,503,333,974,036,218,212,377,923,914,764,029,196,219,254,
138,931,911,207,195,526,683,490,882,375,794,805,159,559,124,500,986,949,060,
748,643,260,916,406,627,436,779,369,464,115,110,735,376,727,131,854,476,577,
711,919,164,479,143,617,618,627,660,924,650,002,091,723,124,871,769,362,054,
127,924,241,091,506,478,298,022,186,339,394,513,965,185,251,419,620,395,707,
116,378,473,908,499,006,725,014,403,680,101,734,068,149,430,307,291,805,860,
290,160,175,336,357,993,469,800,435,008,597,635,315,055,190,815,987,538,543,
169,471,125,705,751,416,549,699,281,174,377,513,993,272,278,342,694,958,189,
514,584,747,204,531,650,604,726,668,528,023,527,967,575,509,242,013,391,630,
984,445,000,492,008,872,801,013,563,335,922,668,018,695,250,224,604,146,648,
976,932,535,639,532,741,864,115,839,006,534,631,470,130,617,578,683,946,918,
119,619,690,486,775,681,510,877,295,400,257,314,010,048,910,668,935,949,299,
456,498,093,407,831,527,882,497,752,588,923,687,771,974,688,211,763,748,427,
054,518,183,781,606,636,936,548,070,667,195,631,529,717,133,562,678,178,455,
613,981,166,272,363,493,450,652,779,440,354,557,865,540,449,507,115,092,841,
991,295,038,960,534,921,974,044,001,039,982,237,546,132,037,162,960,360,438,
140,091,928,103,092,411,749,989,579,383,384,327,586,090,698,709,356,876,868,
460,504,564,149,848,052,238,007,212,160,994,897,206,746,815,617,165,464,502,
091,330,807,048,723,062,169,728,985,671,764,756,953,235,591,570,942,649,169,
478,382,952,030,304,856,545,907,482,617,573,324,183,909,956,454,909,717,831,
219,041,188,099,802,768,029,173,327,329,953,338,348,525,524,178,962,704,053,
796,104,320,342,846,844,876,140,847,706,482,084,782,437,438,735,652,755,664,
648,287,820,445,604,932,580,047,031,879,584,412,302,542,119,307,645,455,733,
050,487,136,353,702,587,012,642,194,799,236,522,301,233,628,702,743,948,748,
348,276,267,653,515,787,746,654,503,085,649,427,562,178,926,990,239,816,830,
417,368,409,768,247,801,505,021,241,772,163,655,822,747,431,916,589,618,508,
924,867,313,177,964,728,408,419,344,587,909,503,418,489,109,434,094,914,453,
764,078,220,539,791,468,797,586,494,110,947,420,986,995,561,139,434,294,279,
513,197,898,756,342,346,817,523,613,709,196,204,578,038,614,164,710,621,988,
351,472,742,493,604,138,010,097,265,323,653,369,955,606,131,545,978,154,465,
915,774,081,206,497,974,564,053,735,522,165,843,385,981,030,606,500,982,118,
334,953,386,432,714,353,436,540,245,854,190,638,352,513,169,960,037,909,030,
069,112,751,248,427,980,806,914,611,205,749,524,131,756,249,410,644,723,048,
436,876,023,878,974,566,431,792,796,814,910,327,603,496,371,891,752,124,049,
944,251,220,867,172,363,530,073,333,115,923,782,254,794,857,464,282,689,696,
815,702,453,690,527,332,940,890,736,891,196,568,550,933,120,545,968,659,045,
932,749,130,087,685,463,797,591,200,974,004,569,534,500,914,101,934,751,929,
603,958,011,077,897,133,975,096,417,548,812,896,467,174,107,565,576,753,155,
029,373,004,983,319,409,931,155,474,354,788,695,375,962,947,913,938,454,834,
442,182,951,530,101,425,205,915,607,377,264,808,827,092,838,092,900,517,849,
747,815,639,265,760,466,079,790,534,556,392,637,157,182,859,169,055,978,631,
258,753,499,895,951,212,931,257,833,877,507,964,172,682,863,503,918,484,266,
665,591,041,317,183,416,794,768,567,218,739,964,455,392,160,122,682,672,861,
425,798,398,637,315,011,931,266,514,062,527,832,556,236,691,927,170,582,680,
730,974,572,539,028,241,816,414,700,768,552,922,716,218,061,289,406,887,318,
809,924,969,083,579,301,234,218,679,155,726,265,866,286,234,053,641,622,446,
180,353,527,788,700,824,739,516,317,145,563,385,156,640,585,593,129,341,546,
279,154,518,098,010,205,648,169,585,561,374,239,871,930,470,961,788,516,672,
487,583,068,024,913,095,148,704,642,145,974,185,482,994,914,393,964,019,648,
002,681,435,160,982,110,759,005,601,286,048,976,431,605,040,727,700,986,868,
639,778,219,681,560,558,090,538,028,187,793,533,946,828,666,849,346,047,466,
912,973,877,121,982,583,148,738,363,546,436,989,011,450,385,207,205,613,185,
325,424,191,913,804,785,695,015,722,964,863,744,746,782,982,379,840,087,064,
919,220,028,873,248,196,667,161,238,140,002,341,893,193,351,556,516,368,703,
591,750,994,591,131,367,609,684,216,972,867,063,795,471,970,423,949,570,740,
074,753,935,174,584,328,946,783,560,573,510,230,458,796,191,711,380,119,187,
756,524,054,484,593,859,256,435,917,805,565,411,885,940,085,458,026,319,627,
647,469,073,209,289,021,878,065,356,684,378,234,820,859,147,640,880,151,062,
231,814,420,390,847,940,430,020,013,414,226,710,127,137,043,338,714,726,112,
710,470,778,950,751,763,167,475,295,628,882,170,714,822,889,168,982,421,174,
526,488,772,020,434,587,370,679,355,947,636,555,043,067,646,185,186,596,277,
703,693,478,006,177,077,854,380,931,570,971,150,927,762,893,560,165,463,205,
246,631,833,796,057,130,556,653,182,202,354,024,958,839,931,198,766,049,166,
370,271,266,254,735,053,938,031,271,074,361,403,446,460,043,141,273,552,833,
801,200,096,359,063,531,525,770,845,911,151,687,474,848,608,279,701,550,265,
830,118,494,140,686,002,612,572,031,910,758,388,607,630,042,472,311,638,677,
672,201,522,184,424,208,542,317,768,960,697,961,633,910,969,793,933,985,344,
309,287,326,745,849,369,477,769,339,341,427,367,021,906,228,843,114,507,842,
209,249,671,220,936,295,511,285,230,404,796,466,911,991,549,655,619,313,583,
574,716,594,513,904,080,351,309,317,128,978,451,682,385,934,169,150,605,712,
711,793,418,295,577,708,246,845,624,321,337,148,879,818,820,971,310,453,983,
177,086,534,025,511,662,150,555,032,612,502,979,903,294,482,021,310,791,209,
566,109,848,478,947,281,299,191,864,651,348,202,123,033,973,328,982,749,396,
008,898,551,698,571,192,033,966,209,485,291,277,153,150,115,267,824,714,588,
198,977,348,105,522,969,712,273,914,628,718,060,872,045,773,396,175,438,574,
897,302,639,537,492,838,377,510,724,317,902,434,316,660,716,062,148,674,097,
669,409,786,905,017,559,216,413,128,481,926,613,532,911,503,618,254,992,595,
442,769,376,183,378,654,854,128,239,474,922,981,982,797,953,461,680,170,568,
552,660,938,599,603,094,840,706,448,992,508,572,870,061,569,703,042,341,498,
730,045,921,416,696,899,108,984,865,155,261,311,541,802,100,199,484,500,934,
892,218,302,623,177,419,366,206,216,781,631,859,935,317,553,678,502,993,120,
344,879,529,829,902,101,531,093,597,416,401,229,942,945,033,626,484,756,673,
740,615,956,775,873,985,999,603,250,458,067,799,979,961,093,965,612,317,583,
188,680,905,100,087,679,240,227,470,703,874,493,822,891,804,960,536,792,306,
955,140,585,253,639,593,247,770,172,971,157,880,952,630,925,555,904,967,274,
775,920,953,468,485,777,484,661,435,760,808,586,820,224,728,955,192,653,757,
622,579,602,200,012,732,548,012,669,945,875,506,967,192,910,105,519,465,900,
981,219,677,213,258,518,559,536,088,193,435,536,429,157,540,420,493,059,118,
769,634,396,692,953,824,323,401,587,513,316,063,235,879,549,777,790,052,262,
259,087,804,865,632,887,342,561,618,691,853,228,143,603,352,174,973,004,974,
084,109,145,231,939,705,703,314,445,186,621,097,650,560,811,578,645,127,221,
384,457,382,217,519,366,743,004,923,789,960,586,468,998,650,335,595,827,210,
817,833,015,629,042,094,441,066,978,746,611,814,179,253,494,480,292,205,289,
854,256,436,748,325,796,527,135,865,907,607,265,428,560,874,499,898,300,076,
480,969,081,588,729,356,905,158,234,441,394,065,374,107,824,618,100,126,532,
100,056,757,824,387,131,326,110,564,394,741,054,334,413,897,954,326,356,121,
221,106,167,063,287,565,539,408,601,147,450,480,095,867,164,173,529,330,038,
622,345,430,231,816,891,860,080,511,072,898,047,509,817,426,968,006,721,311,
156,577,123,450,802,598,586,307,953,156,664,386,739,277,204,049,482,005,922,
554,727,766,840,517,546,760,404,006,276,033,847,671,037,900,511,233,183,975,
173,126,928,756,829,187,668,220,467,689,881,243,669,960,457,021,930,614,279,
166,721,050,627,178,885,841,168,513,604,642,835,956,260,393,368,691,107,172,
676,722,740,692,562,647,749,355,281,855,126,823,909,588,027,907,551,638,538,
372,511,418,450,098,586,080,196,630,555,617,179,142,488,657,662,743,142,506,
983,702,019,571,659,680,054,400,324,249,390,421,435,136,622,938,005,517,037,
559,625,712,328,379,200,476,766,534,299,231,735,313,416,353,631,264,512,022,
180,261,752,614,057,443,513,438,037,235,499,551,460,325,471,372,919,440,943,
913,690,006,851,471,938,715,548,060,261,625,543,108,861,163,980,559,281,770,
893,351,589,239,018,106,769,179,520,812,289,591,883,727,997,030,800,150,279,
148,964,732,497,966,342,951,937,771,545,691,354,076,892,065,004,957,039,324,
495,929,934,680,754,765,604,856,952,677,083,229,749,241,746,845,004,731,427,
177,978,437,800,182,375,694,626,490,308,138,536,833,896,716,184,681,603,331,
957,182,536,910,890,388,683,800,168,488,462,151,220,968,070,573,431,245,028,
139,294,880,011,979,720,549,903,361,269,441,112,027,729,635,341,379,971,701,
206,674,936,324,987,047,661,068,031,814,536,877,680,532,832,311,693,063,767,
759,627,542,306,829,723,103,454,732,624,712,771,117,097,801,862,839,281,887,
940,279,364,464,146,083,486,159,707,394,453,587,409,902,132,132,643,508,255,
300,827,121,209,957,750,296,293,800,412,079,333,197,013,573,112,154,247,993,
318,290,582,092,450,492,817,951,201,161,487,856,910,059,781,896,332,637,285,
007,115,188,934,505,394,268,843,657,819,481,969,786,077,779,011,123,333,089,
621,859,076,281,823,373,969,236,933,523,060,724,599,975,378,887,718,011,470,
341,462,046,344,585,635,853,708,664,561,673,200,892,101,019,758,995,165,911,
531,584,278,702,431,038,789,698,955,149,124,220,058,287,409,526,965,422,727,
586,954,881,332,386,870,863,118,268,914,438,479,092,294,747,282,765,729,074,
157,644,805,546,255,180,187,681,510,608,134,248,539,063,257,333,679,635,709,
274,062,239,243,648,734,934,746,408,744,580,359,921,124,708,271,082,165,522,
457,651,297,448,069,425,226,344,653,666,576,510,873,013,706,568,345,655,896,
494,308,151,502,307,066,862,579,864,021,711,098,812,183,491,842,022,539,239,
952,756,732,044,595,496,351,713,915,628,487,830,300,666,478,784,836,759,519,
216,276,947,240,405,168,137,564,535,703,529,037,695,432,340,563,365,580,837,
639,179,892,811,506,546,815,082,536,951,517,399,808,371,234,560,729,112,997,
075,539,699,168,706,931,390,669,795,026,176,226,527,303,605,269,128,392,323,
266,728,398,138,876,585,474,232,288,572,844,624,196,851,774,714,188,396,464,
710,076,024,042,075,846,790,792,121,005,883,504,307,358,141,048,862,116,609,
760,857,678,167,243,685,262,991,075,445,073,628,372,660,393,992,346,283,939,
511,854,839,691,143,722,405,140,654,807,094,980,197,372,306,411,302,259,481,
283,007,892,684,452,508,411,100,098,142,017,938,476,604,143,254,485,631,783,
543,585,069,023,022,617,460,476,246,457,889,830,070,995,544,718,528,315,825,
318,039,837,521,099,547,501,177,157,401,356,104,351,842,603,986,235,202,361,
203,282,321,365,430,063,221,415,922,692,246,925,394,139,397,600,939,777,981,
704,194,784,026,691,042,843,610,118,438,091,208,245,120,911,255,442,698,939,
909,849,811,393,192,637,734,515,624,612,098,209,245,077,009,719,241,912,585,
836,604,667,744,914,810,191,177,382,082,856,013,533,167,875,383,085,775,022,
497,701,846,097,088,688,472,574,891,711,196,803,046,306,347,829,385,894,126,
363,071,119,636,596,032,310,998,386,886,725,320,186,257,555,492,607,652,637,
364,241,280,259,481,598,766,757,637,144,364,234,218,219,547,864,717,562,557,
414,302,577,933,911,493,731,173,282,937,307,538,849,628,841,055,407,344,600,
193,433,195,171,460,991,235,462,292,835,813,306,122,698,358,872,829,427,011,
463,064,657,233,691,509,303,667,718,285,371,756,354,075,474,008,214,700,329,
120,083,145,078,701,292,883,860,166,280,196,376,874,299,632,805,528,934,463,
562,583,760,674,352,133,354,703,759,257,194,156,705,321,996,931,872,520,088,
639,896,370,035,637,879,544,101,484,755,191,168,706,305,630,712,107,134,576,
124,306,194,835,772,079,847,147,707,516,161,017,987,284,573,620,100,512,183,
339,395,938,613,412,697,292,790,611,507,839,325,057,105,349,262,393,357,356,
053,006,572,835,670,307,239,723,507,220,398,456,196,889,457,706,431,497,207,
781,694,507,581,571,146,413,292,860,305,751,461,843,709,426,241,095,103,238,
322,984,791,708,906,843,701,498,537,936,815,797,753,759,770,683,090,578,881,
224,703,853,955,348,584,761,156,440,569,400,283,525,334,790,369,637,600,723,
334,903,327,486,734,893,662,069,714,187,755,506,592,602,075,094,060,273,182,
114,196,746,442,845,018,324,428,942,151,393,231,372,125,345,145,757,798,417,
179,511,616,125,739,510,979,131,230,519,072,663,553,632,490,095,148,689,695,
557,194,982,016,227,682,858,771,007,707,866,871,240,757,928,102,697,360,375,
379,695,796,663,607,589,144,903,143,445,714,641,186,588,265,696,191,660,053,
979,568,325,029,808,441,584,034,135,935,877,359,275,714,356,601,251,229,581,
048,140,234,256,076,452,961,977,727,373,186,037,627,258,124,803,251,432,595,
030,171,868,904,252,693,408,808,044,006,381,576,671,041,887,886,628,515,506,
087,002,748,806,138,097,804,873,507,597,536,458,500,672,094,379,181,955,126,
868,300,972,766,097,844,238,099,385,255,762,957,128,756,503,288,742,198,297,
292,795,555,520,606,443,087,525,126,806,497,655,732,824,927,622,984,034,926,
388,059,661,443,666,695,902,237,106,003,512,409,710,347,665,826,353,037,898,
637,374,630,683,817,637,305,050,992,836,055,619,252,910,025,694,653,088,799,
641,666,449,652,180,778,068,180,957,672,256,973,240,894,182,795,698,045,628,
339,092,748,080,543,373,456,652,583,622,586,226,110,387,467,314,892,954,530,
888,198,617,255,994,821,664,727,838,893,895,890,707,373,916,421,105,056,363,
046,278,827,230,782,267,159,409,428,832,544,835,002,053,236,442,918,693,169,
336,260,914,741,907,648,979,441,138,458,433,789,734,586,483,350,591,038,296,
615,007,633,094,048,183,259,338,718,758,434,576,539,003,892,792,967,416,797,
656,973,422,636,991,820,173,864,118,935,218,342,855,569,732,643,373,230,831,
392,735,408,019,560,336,375,173,437,694,988,033,172,719,856,975,612,546,334,
162,237,058,443,004,328,096,641,944,750,951,172,998,788,312,109,116,864,343,
808,334,847,269,806,622,996,995,449,533,501,377,246,657,290,127,329,273,907,
687,183,939,010,417,905,063,495,016,820,670,932,286,057,407,922,173,917,322,
313,439,144,972,427,340,963,768,260,772,086,371,266,590,594,535,390,968,981,
631,868,924,445,354,993,580,889,860,263,696,709,957,714,096,854,645,124,282,
629,825,910,510,942,036,480,605,518,051,351,321,177,199,386,377,593,066,591,
287,123,790,466,797,004,715,745,402,236,290,451,594,863,855,520,233,785,078,
805,949,711,004,329,776,648,635,436,685,319,478,976,805,861,336,473,576,561,
300,559,472,167,435,690,791,366,433,401,085,111,343,971,561,135,360,963,978,
997,142,334,996,673,104,575,595,726,063,459,146,293,814,807,094,905,407,806,
161,581,492,951,280,492,999,241,290,260,845,671,167,096,962,864,856,800,276,
030,105,719,046,892,607,437,534,086,065,732,591,996,095,338,241,140,665,023,
406,464,207,853,873,799,889,823,948,710,020,777,593,852,930,086,377,586,571,
023,023,727,220,850,745,833,327,849,291,757,536,131,642,473,492,140,877,688,
047,486,343,468,736,131,438,664,079,133,886,731,664,559,779,348,930,233,707,
511,333,785,067,043,600,336,705,589,069,688,260,230,602,089,411,623,207,518,
056,770,941,699,892,454,763,450,721,804,494,229,287,683,022,342,117,339,750,
780,352,497,428,938,112,324,504,322,407,080,433,012,016,666,949,427,764,596,
764,564,137,796,241,423,980,336,640,969,219,974,276,618,503,791,181,826,320,
646,463,837,287,170,752,557,604,128,821,390,470,354,914,571,654,410,693,472,
452,753,018,932,600,574,320,169,421,692,701,599,333,635,148,777,217,732,713,
319,036,652,960,862,370,812,245,921,201,913,294,853,005,906,119,120,617,068,
069,618,677,827,627,684,058,576,862,003,494,350,416,145,857,893,747,942,204,
600,790,443,024,513,747,840,864,360,408,762,518,009,207,963,118,772,339,748,
835,221,992,202,697,980,941,688,739,985,493,976,400,078,850,644,850,055,196,
801,103,051,622,115,461,799,632,618,466,056,502,171,756,084,033,329,369,096,
112,698,794,995,218,462,961,448,085,364,793,422,960,078,659,174,932,860,149,
381,226,495,216,192,984,506,458,919,688,804,254,698,015,615,662,312,235,030,
206,898,182,842,424,066,937,905,587,527,404,793,545,322,568,339,164,489,934,
801,316,371,985,451,609,308,249,909,767,927,012,222,315,932,153,535,218,802,
372,617,735,820,652,967,603,022,221,561,524,555,936,787,254,098,748,708,172,
362,486,238,173,363,889,749,862,840,488,157,598,977,421,855,533,255,783,590,
904,488,521,325,845,238,116,638,563,440,534,192,343,003,162,431,046,262,565,
480,077,663,799,363,250,270,894,187,645,318,129,837,748,667,755,629,857,681,
481,140,678,895,067,154,953,647,601,333,560,190,661,855,459,902,871,092,406,
191,163,018,706,660,318,866,174,649,249,660,660,657,483,052,523,166,557,391,
096,977,067,326,910,000,957,882,127,059,970,215,303,430,535,924,979,334,227,
487,522,774,911,565,454,082,849,954,660,622,466,117,944,703,702,688,379,571,
250,372,755,280,413,897,968,016,809,896,065,085,661,545,671,906,524,653,579,
092,553,286,491,684,977,535,031,676,501,002,843,517,726,402,192,085,866,524,
900,443,979,985,859,796,747,044,894,820,668,696,074,956,091,595,517,496,925,
442,195,485,846,912,931,933,957,602,629,903,109,422,021,159,251,744,069,600,
378,816,618,641,862,339,508,873,269,551,314,777,724,216,538,247,453,202,454,
977,730,605,955,324,532,787,370,126,317,401,709,335,876,234,083,480,604,894,
856,127,571,396,498,625,404,560,590,324,352,116,436,054,907,992,257,636,391,
460,044,582,791,068,169,983,011,424,240,295,519,169,634,323,917,831,085,967,
069,981,164,664,697,044,740,838,863,137,679,293,264,108,809,625,282,848,501,
401,028,132,481,397,721,362,627,032,064,250,209,285,686,842,727,423,415,045,
015,795,757,010,465,911,114,899,866,553,931,996,325,873,121,540,792,091,508,
294,502,057,548,732,104,946,713,272,883,041,878,057,147,450,798,643,089,052,
905,735,185,043,759,198,634,296,011,334,198,660,585,017,698,165,074,875,296,
300,195,002,569,673,813,486,555,088,059,756,167,669,099,309,407,206,884,373,
536,180,039,701,102,956,690,196,299,328,201,837,644,299,304,925,343,726,191,
618,346,387,747,297,841,626,399,805,526,147,166,482,405,459,424,394,896,195,
519,088,128,790,401,220,425,337,427,679,006,132,159,256,506,505,788,379,008,
073,826,294,948,610,071,547,267,969,510,358,793,081,631,791,801,682,018,145,
582,462,901,564,983,374,782,377,554,856,110,130,581,019,847,119,481,375,923,
918,324,357,884,694,351,342,972,345,969,293,024,535,099,117,148,318,326,764,
625,285,394,903,596,511,356,160,905,754,768,059,523,207,676,465,946,771,672,
163,928,489,282,655,404,828,256,885,784,398,714,090,541,269,271,862,964,047,
478,581,876,197,246,335,815,579,563,184,377,028,454,364,433,276,970,647,330,
920,243,796,528,580,917,211,622,248,695,640,029,464,342,671,498,871,127,963,
839,337,068,463,988,025,548,065,883,626,953,852,970,790,712,634,394,356,199,
813,784,337,497,135,814,949,454,954,497,540,295,890,001,320,685,177,262,024,
827,987,084,064,142,304,705,844,433,968,813,427,469,124,032,994,281,629,852,
201,383,290,189,454,979,046,526,935,987,675,392,592,089,188,573,586,717,263,
369,096,950,131,533,584,199,612,739,805,774,678,192,330,792,425,091,432,446,
375,616,558,604,598,154,272,596,679,017,023,305,178,557,408,480,076,821,803,
808,751,087,829,074,981,098,652,415,178,460,851,428,200,688,512,329,928,786,
240,056,542,411,178,012,477,744,218,240,496,744,351,139,882,440,046,467,605,
015,102,665,470,758,289,457,363,506,126,367,582,016,519,602,670,823,715,930,
706,038,066,078,011,930,459,367,009,288,389,420,629,569,935,072,381,299,943,
376,555,593,248,543,505,275,349,041,463,900,030,170,844,481,861,510,076,619,
781,466,763,543,053,158,673,615,815,238,738,950,603,582,503,775,994,856,329,
093,843,778,583,021,726,790,068,657,676,124,006,997,067,231,907,087,177,869,
666,364,041,601,601,182,551,987,701,672,622,876,991,405,593,788,459,573,275,
200,594,134,753,245,576,646,336,331,553,316,521,911,896,480,879,255,815,642,
500,669,722,641,786,199,138,671,840,317,064,710,056,935,847,808,847,823,992,
013,027,603,735,643,803,673,117,598,691,052,803,230,640,157,986,746,096,430,
720,062,201,186,983,247,053,681,285,864,770,173,364,782,947,453,234,580,212,
990,292,521,263,325,190,926,020,913,567,992,451,588,495,562,110,804,370,915,
786,392,469,328,384,715,884,192,018,682,731,385,514,371,235,702,301,976,544,
157,610,061,983,234,127,245,620,315,272,026,743,607,893,457,055,934,578,430,
385,242,886,929,571,624,453,171,557,022,237,631,231,533,283,111,152,714,859,
873,677,654,968,153,381,052,939,182,623,377,957,818,815,493,783,024,395,985,
005,494,685,429,888,493,938,202,657,423,466,175,930,869,350,932,417,522,502,
261,191,300,447,869,313,022,282,513,508,033,942,577,704,289,086,685,318,841,
342,242,788,692,560,090,736,394,960,465,779,804,792,041,619,895,259,051,466,
938,578,012,619,619,244,466,032,118,498,214,920,560,622,569,703,858,908,785,
955,377,077,556,803,116,426,691,461,331,343,692,138,435,595,217,393,644,460,
474,724,456,431,041,155,746,585,920,501,550,474,589,851,654,561,978,561,988,
519,575,511,868,541,352,319,607,538,983,558,970,905,605,919,093,408,334,632,
348,762,878,862,621,716,720,246,141,824,666,622,755,011,939,592,747,621,302,
524,551,585,320,919,076,242,173,424,147,169,555,118,782,767,535,554,507,836,
777,147,839,649,227,068,237,568,803,310,847,872,183,012,915,501,822,850,254,
018,367,338,444,119,210,217,088,224,029,336,958,091,113,633,568,989,532,709,
889,946,463,138,726,926,678,905,885,722,041,068,128,552,259,410,713,502,511,
993,719,943,835,343,481,576,657,952,348,565,419,412,350,013,467,147,320,330,
008,535,913,263,748,671,048,175,350,189,154,990,208,349,099,060,001,181,061,
929,453,362,980,385,694,816,313,257,179,352,463,985,395,782,706,214,979,112,
198,317,849,240,939,934,476,095,650,459,734,785,165,836,265,624,139,990,470,
790,615,164,169,362,123,504,124,875,115,387,289,080,039,802,021,631,473,025,
334,459,551,816,182,631,191,212,574,809,884,828,204,763,596,962,106,492,984,
247,195,905,281,175,287,598,179,049,262,425,135,871,712,074,761,002,247,626,
360,640,317,857,925,700,180,997,739,507,987,069,348,299,960,313,702,030,975,
236,276,148,615,983,081,634,757,279,287,499,387,704,168,681,359,351,904,956,
024,530,750,810,552,991,562,519,485,081,609,089,581,619,112,788,800,345,836,
553,003,456,118,384,225,382,549,489,004,965,704,702,515,594,192,615,119,677,
495,342,367,394,592,053,844,482,459,119,017,801,354,790,201,379,594,397,420,
035,467,688,966,150,181,945,287,352,796,086,646,143,558,606,030,552,584,943,
386,018,500,613,612,176,108,803,973,772,407,604,833,831,784,537,988,822,421,
319,243,184,892,779,347,918,377,525,090,156,928,453,300,755,762,927,965,763,
901,820,934,710,742,096,086,568,108,255,169,996,894,172,932,891,242,518,875,
764,671,302,304,748,638,700,553,865,184,694,519,509,786,747,128,835,131,353,
437,175,475,113,164,203,305,720,596,438,571,141,151,968,114,967,086,837,843,
242,737,306,753,803,806,482,770,582,708,747,246,488,301,226,243,515,612,560,
877,378,280,852,723,412,580,306,389,607,394,935,827,683,194,151,010,574,929,
159,819,774,366,195,252,320,094,754,024,128,067,750,270,842,645,211,510,524,
347,895,783,763,346,756,417,475,138,394,370,656,967,353,715,479,530,405,977,
313,994,107,015,248,467,958,483,766,831,943,863,487,526,058,720,735,564,681,
662,106,384,511,237,100,827,627,034,463,242,408,385,654,401,846,399,007,146,
249,668,026,627,690,286,223,704,522,647,585,982,439,269,256,250,828,851,706,
427,431,103,157,925,218,765,994,536,999,084,254,101,566,517,997,618,083,430,
761,049,065,727,751,724,818,734,345,558,063,552,657,452,874,532,690,210,761,
592,925,700,321,205,148,934,461,037,458,769,196,960,147,703,127,896,470,697,
954,648,184,405,983,219,117,639,372,964,944,218,881,864,404,070,779,619,139,
928,739,504,726,359,874,369,388,187,238,608,635,730,906,942,977,211,921,407,
518,930,418,561,328,693,569,624,708,688,727,201,292,141,331,511,586,175,758,
570,582,164,049,415,503,995,198,145,426,340,911,755,043,891,405,381,398,413,
153,891,446,965,433,140,205,173,468,843,929,406,351,437,105,101,973,328,071,
836,613,939,207,647,668,894,497,495,076,210,486,172,686,723,843,221,887,961,
663,902,259,704,494,166,919,553,242,607,715,871,391,591,840,097,416,401,758,
796,668,942,818,029,244,276,217,412,135,450,639,671,716,227,821,563,037,471,
020,146,392,541,737,259,388,253,091,978,947,665,756,431,015,220,417,951,920,
017,860,478,380,290,014,248,611,811,047,608,921,746,045,186,279,709,917,691,
300,992,196,294,552,897,895,463,585,963,998,047,902,727,432,736,267,913,700,
809,843,651,828,731,538,116,878,305,633,171,996,590,782,906,624,072,102,336,
905,588,582,636,741,616,457,443,781,547,177,439,973,071,133,968,356,304,592,
129,169,491,786,519,972,972,741,411,898,080,820,139,300,823,630,387,260,409,
122,856,473,899,816,489,302,048,692,046,724,893,249,054,246,531,138,694,399,
628,858,154,878,206,407,866,080,105,924,666,861,939,395,105,076,939,141,878,
934,186,403,066,181,032,251,328,273,362,076,192,254,933,035,330,235,124,328,
622,971,341,298,565,545,866,975,407,110,317,152,037,204,495,522,419,730,670,
639,482,177,804,537,604,877,636,539,490,398,618,272,699,033,024,467,790,517,
134,869,107,381,349,321,465,066,564,454,837,835,098,021,624,486,901,683,474,
689,213,064,886,022,892,760,967,285,832,678,182,922,596,482,811,676,904,103,
727,387,399,298,778,750,696,227,891,388,187,659,388,393,580,571,166,415,269,
360,689,071,505,440,212,973,756,876,627,381,006,439,124,529,925,297,801,305,
216,756,942,308,933,604,553,343,422,100,469,575,313,301,492,972,415,248,257,
101,309,793,026,861,802,645,099,806,309,936,368,831,634,352,360,599,069,513,
914,164,191,531,808,239,279,667,335,153,105,554,319,340,827,009,800,019,839,
883,818,172,653,853,492,551,370,178,503,553,473,477,076,850,136,419,351,223,
013,981,309,201,492,717,456,967,273,769,527,168,962,763,498,166,621,439,605,
729,411,066,104,863,762,030,771,431,621,961,652,159,385,566,539,665,008,767,
304,589,491,171,166,317,336,280,462,529,309,992,456,033,536,503,774,335,969,
159,603,292,832,275,594,671,014,917,863,217,924,475,741,155,378,763,673,743,
302,624,544,108,638,536,943,220,681,070,920,595,978,676,909,475,029,479,472,
849,021,866,660,113,186,565,038,721,854,368,704,227,953,046,569,158,852,377,
825,279,298,837,366,108,769,720,793,191,694,128,752,107,962,846,733,236,886,
818,585,511,373,748,369,490,935,961,633,309,107,988,557,032,430,628,648,583,
589,899,641,194,766,738,913,541,401,975,994,101,612,867,458,107,534,306,047,
570,583,151,958,756,327,430,890,865,242,904,177,099,612,183,960,904,554,864,
937,200,187,336,939,963,837,385,587,701,280,523,282,744,683,333,020,207,319,
808,145,375,350,632,799,397,766,557,591,918,699,885,614,319,157,839,283,415,
012,588,954,023,085,214,913,586,100,263,076,135,448,322,415,822,862,151,341,
929,936,910,343,753,257,795,914,601,143,459,985,357,837,361,093,988,135,960,
528,710,026,665,664,233,561,897,829,948,460,267,654,837,806,553,466,608,616,
022,675,847,544,764,681,799,923,225,107,277,148,003,835,385,444,636,740,730,
283,125,937,953,422,258,405,496,600,044,592,572,648,432,695,969,281,966,671,
705,581,885,252,431,956,563,801,951,212,450,339,398,086,881,398,383,896,951,
435,212,901,042,097,865,796,829,658,925,458,031,632,949,516,682,261,587,742,
235,570,215,647,719,770,814,605,680,731,137,172,057,436,243,719,282,973,171,
435,038,160,587,318,731,695,790,662,842,287,005,500,603,745,786,045,601,214,
120,716,682,133,121,668,768,219,604,609,933,082,182,916,624,248,043,602,164,
339,040,108,647,712,996,701,714,568,967,230,270,717,198,377,609,897,694,096,
588,026,482,611,077,482,584,016,100,470,241,469,701,691,091,853,418,524,448,
239,521,868,568,698,433,941,446,950,089,806,878,284,053,948,722,283,149,709,
956,457,526,561,073,411,016,746,970,277,998,557,311,486,553,024,288,320,889,
277,953,113,462,051,239,560,859,094,366,437,565,310,256,083,382,841,473,583,
665,382,712,737,820,049,656,473,905,585,655,035,678,072,616,837,161,295,925,
162,870,068,581,308,144,992,934,846,866,725,510,309,543,810,064,535,089,112,
105,318,792,530,423,166,751,359,029,950,618,185,715,652,756,665,515,039,016,
319,707,319,181,809,441,038,607,535,023,399,629,645,351,955,563,324,216,183,
971,929,410,735,770,825,521,846,806,764,814,186,078,791,488,878,684,374,216,
284,804,633,343,503,767,647,887,219,406,863,252,589,997,663,262,584,528,119,
602,857,530,363,651,524,116,379,777,555,461,257,892,945,468,129,726,502,447,
871,532,477,188,046,037,103,404,155,958,349,265,908,152,891,872,792,780,313,
694,785,643,138,555,460,292,604,802,109,719,001,770,310,567,222,743,884,537,
528,062,379,927,890,517,285,607,289,879,263,731,736,294,897,357,399,934,718,
613,943,723,921,138,147,860,752,675,044,381,279,552,342,689,026,969,281,950,
340,305,323,899,744,195,951,520,953,257,507,733,937,540,052,301,237,485,614,
649,271,323,662,027,859,800,988,938,739,886,901,143,746,314,987,433,018,779,
776,259,441,589,865,893,937,130,406,820,782,579,127,056,187,159,892,969,861,
747,084,756,729,275,897,623,959,691,682,296,158,045,717,544,333,242,427,104,
433,442,294,471,008,876,410,405,775,941,304,215,365,153,642,382,536,578,550,
176,889,644,544,969,069,462,170,364,615,464,216,747,602,425,478,116,048,235,
866,042,185,401,579,245,381,592,408,160,909,917,981,619,788,456,978,021,432,
819,447,032,987,849,814,845,778,776,685,471,115,425,932,635,303,189,153,440,
192,391,168,411,135,242,765,454,279,359,407,236,275,159,382,833,417,911,757,
935,827,073,907,463,780,165,731,975,289,044,951,558,909,245,389,253,283,209,
801,674,599,377,512,735,145,249,587,399,244,920,191,642,189,103,956,920,698,
926,123,212,066,267,272,770,464,186,535,937,727,639,276,099,250,310,458,759,
629,157,802,391,932,940,539,194,899,929,194,080,720,982,119,964,274,448,220,
488,140,449,245,403,405,613,849,213,332,327,489,629,105,125,586,873,131,179,
965,689,531,096,908,783,270,249,761,922,276,504,101,840,309,010,878,625,997,
565,045,948,881,218,886,085,508,490,369,728,131,278,440,559,917,689,946,111,
017,793,578,195,265,810,725,239,231,911,614,740,547,358,655,843,606,435,213,
271,719,634,249,917,532,289,982,758,077,826,338,737,088,070,526,406,215,793,
958,317,106,016,076,736,844,476,895,909,578,097,894,681,979,793,648,722,055,
165,529,670,039,361,059,001,779,777,703,185,501,672,044,223,367,783,562,547,
691,508,111,398,128,749,487,280,856,705,454,837,795,689,094,188,542,695,928,
707,732,209,484,049,025,082,801,199,855,620,889,246,012,583,587,427,022,672,
538,934,582,691,346,729,601,349,108,894,536,893,975,203,758,689,953,558,369,
270,014,652,215,971,039,210,217,459,619,224,485,271,340,508,371,556,333,466,
036,539,332,101,580,362,665,160,867,531,076,213,819,979,556,187,244,117,024,
089,031,277,490,522,169,156,442,844,114,309,553,874,560,421,696,892,057,928,
745,318,500,441,982,072,033,251,367,546,916,364,325,791,332,463,319,836,245,
005,907,137,689,056,797,721,614,363,882,181,700,160,306,623,989,249,799,199,
297,043,327,697,662,390,312,012,254,790,841,108,867,492,883,094,163,538,585,
609,359,812,078,359,162,626,179,274,486,230,921,897,192,164,935,633,868,225,
162,766,996,307,686,626,892,345,549,888,900,416,140,615,935,101,570,314,204,
834,305,192,469,647,020,295,260,606,526,685,123,184,929,062,669,214,718,743,
464,757,051,631,257,217,719,496,850,031,876,221,798,110,719,851,352,293,936,
781,925,356,934,689,569,329,839,020,565,426,437,179,590,150,940,642,321,131,
106,235,054,698,286,475,788,444,895,938,034,912,872,040,265,421,394,812,377,
026,270,745,607,041,588,070,901,702,873,643,265,207,650,706,335,187,386,047,
486,405,948,015,961,970,674,384,485,781,049,604,279,900,536,056,674,211,296,
191,933,942,033,376,394,464,750,935,946,461,114,351,161,880,385,041,337,044,
613,783,578,023,383,152,771,546,854,628,457,614,191,869,367,800,767,373,740,
176,329,719,094,973,684,018,841,304,676,904,119,231,208,274,379,382,781,055,
814,090,953,963,091,316,890,179,486,074,423,817,338,132,849,410,966,595,770,
305,583,470,000,211,001,573,286,757,079,309,415,734,837,726,814,557,630,111,
842,654,758,134,522,422,509,139,836,758,280,102,834,606,906,631,074,674,653,
563,761,891,911,172,747,810,404,588,467,604,095,679,026,658,858,195,013,824,
056,084,797,446,628,144,426,673,576,835,144,383,278,033,855,105,459,465,733,
296,397,503,368,098,905,983,509,390,539,671,626,730,779,413,706,515,917,931,
967,364,923,116,883,260,636,673,628,153,073,756,811,838,581,144,232,314,018,
051,089,453,024,736,991,368,952,677,065,628,381,682,453,716,487,558,425,402,
188,149,373,592,348,582,671,268,373,223,776,462,409,506,449,815,847,863,083,
223,417,429,565,921,480,965,323,089,296,632,283,263,878,085,833,893,591,574,
314,619,219,992,677,028,970,700,892,447,118,607,192,051,372,542,953,500,309,
799,800,523,966,304,919,018,020,730,017,861,750,873,436,795,649,986,398,421,
485,218,895,489,603,542,256,475,899,587,935,078,108,087,696,192,558,233,819,
325,206,669,376,110,477,228,503,991,611,094,903,960,998,716,031,749,248,068,
193,758,579,848,310,501,756,732,411,565,162,761,488,088,670,724,581,525,408,
750,647,813,799,776,214,200,621,368,075,026,172,323,862,983,844,499,100,625,
367,164,843,731,606,438,849,160,263,122,485,523,496,183,054,248,958,541,844,
511,927,318,338,257,546,917,034,512,061,352,754,814,883,410,946,992,515,364,
841,726,972,902,573,007,321,394,762,079,103,743,601,125,277,627,275,024,896,
009,372,845,163,025,743,891,522,180,749,720,820,195,489,276,136,277,767,259,
885,090,947,689,386,962,348,848,738,073,129,681,845,410,349,124,781,807,415,
003,720,103,505,935,687,577,029,566,311,468,215,498,726,227,952,851,240,850,
156,245,959,744,065,125,198,451,990,372,334,597,664,237,032,256,676,233,163,
768,402,015,484,641,978,332,744,725,630,821,774,194,423,420,443,416,942,223,
944,931,837,165,029,877,394,806,661,582,375,942,436,418,584,361,008,243,804,
769,559,215,278,183,420,993,732,459,574,586,652,110,105,808,763,150,507,961,
378,118,102,556,861,798,058,670,200,849,850,049,281,721,995,623,883,630,436,
200,943,274,210,576,103,395,366,372,242,939,236,887,231,328,358,394,231,377,
148,004,043,000,552,632,993,235,285,257,681,567,384,611,798,133,769,698,739,
188,639,555,089,464,717,577,475,185,318,970,579,279,737,829,696,258,064,287,
257,338,284,203,598,546,483,085,129,736,138,346,053,649,785,804,294,660,148,
315,976,550,186,093,476,803,036,960,695,170,246,867,256,045,716,537,297,117,
465,833,120,880,126,316,427,112,936,315,231,295,728,326,562,698,815,558,460,
633,159,339,948,843,435,931,393,284,381,865,749,554,151,711,814,673,609,698,
624,038,863,964,352,877,583,106,002,186,008,724,264,759,746,925,293,287,298,
962,746,922,734,372,842,564,135,709,544,374,487,077,322,023,831,104,561,660,
459,578,015,532,901,817,146,547,067,185,198,901,661,693,821,463,020,290,817,
590,883,723,993,837,696,283,126,927,600,787,893,299,887,684,544,644,422,143,
048,273,217,416,083,931,333,205,792,158,111,787,473,971,592,761,254,595,055,
632,216,743,873,790,412,755,340,052,479,686,114,690,619,009,791,236,944,181,
927,469,537,974,883,540,255,507,320,738,070,303,963,961,416,590,650,711,336,
835,571,541,747,384,390,102,412,172,024,692,925,762,796,947,351,433,216,803,
704,375,057,674,667,563,675,902,217,808,818,051,208,951,735,488,287,386,856,
006,476,597,756,314,344,971,197,244,413,919,534,300,049,519,493,526,424,345,
044,863,753,798,539,074,837,509,195,808,246,774,202,228,143,761,081,704,057,
371,587,520,494,536,266,275,594,047,616,704,526,509,108,718,363,532,823,822,
386,456,989,554,567,837,121,476,148,224,462,105,071,349,617,930,810,795,599,
474,875,157,600,031,541,525,278,427,292,977,979,852,045,722,815,673,301,606,
509,070,501,424,838,505,667,488,292,241,529,311,257,184,505,322,437,297,862,
968,280,732,089,123,511,818,073,744,218,925,457,816,096,964,602,235,793,899,
208,126,036,376,289,438,781,046,445,845,328,961,289,391,839,540,240,351,035,
057,031,794,479,544,114,964,483,812,138,057,696,922,456,448,511,090,307,292,
653,444,069,978,193,875,091,955,101,209,519,291,584,912,665,344,843,986,331,
337,826,245,108,493,284,536,491,877,475,002,845,105,355,236,439,104,357,743,
463,636,423,019,421,383,458,729,449,688,591,149,212,738,419,011,124,574,898,
274,980,915,698,218,556,789,884,474,844,676,051,971,945,338,909,704,444,973,
874,916,117,682,283,119,750,359,893,025,354,467,439,044,440,240,615,236,940,
633,211,339,619,282,619,911,341,909,517,952,404,900,234,795,624,259,562,232,
217,352,653,855,208,988,123,721,053,116,086,509,441,726,326,841,602,182,373,
898,631,401,772,108,034,574,613,832,703,695,204,823,065,220,862,245,880,263,
005,224,643,549,266,873,506,703,066,045,799,742,630,192,891,012,662,821,364,
360,362,828,233,205,886,786,944,474,841,050,718,769,998,410,265,453,928,724,
183,362,542,045,551,375,621,813,944,543,985,452,029,047,747,478,304,906,433,
247,751,940,007,049,141,900,404,338,282,751,886,898,904,767,191,802,991,719,
905,608,759,426,120,956,979,872,263,297,907,446,218,615,252,691,545,732,685,
475,095,667,130,748,168,622,863,583,817,051,551,203,971,490,017,685,948,382,
606,627,154,989,779,874,108,342,109,248,803,301,477,064,818,021,201,707,212,
202,083,172,007,924,956,139,403,214,490,349,279,218,691,338,997,871,419,808,
199,543,048,201,115,655,842,776,959,205,400,605,317,710,760,352,353,633,095,
454,968,162,962,732,194,870,599,701,873,798,895,439,092,886,105,607,626,367,
664,335,143,271,527,664,291,902,406,114,208,030,459,957,668,521,010,747,532,
411,408,511,897,957,379,177,330,771,631,332,851,614,862,222,312,827,419,300,
611,646,425,275,377,057,919,449,367,328,946,025,383,435,531,769,577,953,369,
959,889,052,959,974,513,242,747,442,875,016,417,302,250,737,380,511,920,094,
450,025,858,527,596,887,926,056,076,032,157,110,046,548,392,095,875,271,777,
943,963,148,941,263,879,380,774,723,789,263,871,894,173,712,027,480,474,885,
319,479,042,531,266,367,433,772,660,833,590,878,231,576,637,672,399,287,267,
813,067,661,457,796,574,050,769,537,654,024,801,893,673,621,140,512,062,597,
870,523,853,282,668,965,546,998,433,393,706,268,909,303,233,075,513,734,864,
701,594,215,804,251,756,365,445,646,670,547,939,572,522,327,675,451,968,708,
562,381,396,109,212,937,605,869,288,578,133,627,634,773,322,015,484,225,395,
284,377,491,095,588,532,518,768,312,902,273,346,665,459,502,329,062,924,111,
510,864,634,323,712,539,164,191,267,756,180,750,370,410,503,833,953,344,495,
621,954,761,147,060,590,246,785,373,648,861,686,847,636,256,113,909,258,173,
214,998,880,720,971,997,980,566,385,292,137,531,047,703,547,343,333,944,776,
451,427,728,518,771,359,009,642,517,842,029,564,069,387,973,370,708,502,007,
280,027,753,475,660,570,187,651,413,652,745,540,314,263,442,859,943,751,697,
453,357,978,114,736,709,868,351,571,423,675,494,659,589,784,114,252,895,947,
249,813,978,082,603,689,075,561,292,328,514,526,215,031,499,087,399,250,829,
097,120,691,270,758,941,686,043,865,661,716,338,851,438,127,946,311,399,703,
570,324,639,347,326,244,987,820,449,260,022,568,895,801,683,696,814,419,581,
797,810,480,593,390,215,620,510,033,409,203,049,081,292,152,128,628,826,306,
360,773,209,766,322,836,051,977,145,397,806,078,288,892,762,732,728,187,149,
220,220,921,429,294,216,172,457,256,817,951,315,217,212,710,717,946,341,696,
706,529,128,951,014,343,442,979,113,992,058,455,701,201,813,318,159,369,585,
011,776,788,785,423,696,791,066,622,946,818,306,079,468,928,124,610,537,427,
644,132,323,187,514,197,203,709,281,054,578,458,647,398,638,538,577,856,203,
209,263,318,891,171,800,570,499,404,004,730,323,392,809,338,341,247,948,066,
957,955,437,037,318,556,716,244,469,145,557,288,797,295,670,773,456,822,842,
251,517,931,975,250,172,628,173,525,271,939,862,905,576,797,242,975,612,603,
331,372,956,522,421,521,192,130,253,096,555,385,604,837,506,234,342,166,367,
848,499,777,222,736,137,053,580,592,982,000,919,354,735,277,542,918,165,799,
455,614,230,753,680,592,627,840,352,064,943,191,496,094,819,538,805,415,101,
890,447,119,621,995,699,372,985,942,803,958,549,376,318,482,452,643,994,410,
258,287,625,006,542,534,136,824,364,264,592,877,918,281,816,486,000,739,637,
545,969,246,914,030,339,558,451,231,991,113,330,704,889,699,483,494,972,306,
037,910,036,347,995,119,448,186,517,119,184,056,889,826,473,695,707,814,945,
469,894,381,050,249,647,848,370,699,544,200,422,885,096,365,353,839,957,459,
934,235,157,340,187,923,187,190,881,397,655,061,343,633,796,644,991,338,645,
388,890,772,061,746,031,613,991,696,856,585,296,709,136,504,915,035,263,838,
278,062,420,453,539,848,919,994,748,978,986,337,764,751,755,526,575,499,205,
607,460,426,128,784,103,872,672,475,510,774,964,415,195,196,676,765,773,321,
857,960,402,671,079,787,087,126,164,287,073,111,432,790,388,145,911,350,759,
026,680,538,500,000,438,087,104,317,064,869,490,975,599,478,521,076,860,083,
923,376,970,629,166,166,476,042,200,439,059,206,592,815,756,857,561,654,978,
725,842,485,328,669,229,978,304,554,436,658,608,113,746,819,931,400,731,597,
841,830,044,041,242,777,598,575,229,575,438,985,579,821,009,667,888,005,986,
663,283,462,257,793,134,283,626,537,060,712,285,547,247,044,713,598,399,041,
597,799,645,278,234,632,283,988,787,262,450,018,298,703,344,344,833,654,089,
688,331,858,832,553,383,062,998,848,471,376,857,225,331,530,401,034,772,496,
929,374,024,810,997,565,214,236,511,912,991,258,478,903,960,382,180,851,966,
762,746,288,953,868,807,409,545,644,623,047,274,713,878,995,905,912,653,184,
497,190,257,813,801,415,446,761,118,382,983,342,647,413,544,557,439,240,324,
351,702,730,519,146,987,014,505,008,503,930,934,969,129,157,175,069,705,914,
496,200,386,672,454,051,773,204,617,988,458,907,888,972,462,677,464,166,117,
899,371,403,294,186,467,109,558,663,803,174,542,166,980,787,204,085,142,888,
333,788,635,612,996,707,596,531,881,336,063,659,816,970,480,737,932,809,085,
440,153,117,626,375,572,970,583,490,374,237,730,749,627,010,150,382,060,243,
442,777,947,092,820,970,304,827,962,434,256,392,057,597,116,163,193,744,812,
316,184,180,297,261,378,748,619,910,166,989,268,657,884,545,278,291,254,045,
135,872,813,770,798,876,466,883,486,427,898,648,076,063,955,066,004,268,054,
264,987,276,612,513,753,678,890,350,438,792,055,782,704,306,899,851,869,039,
186,414,656,031,795,034,859,218,953,333,711,986,049,811,387,242,843,788,064,
626,413,356,319,845,977,685,381,828,025,877,989,702,215,637,970,068,490,457,
052,840,433,955,987,251,543,638,821,922,988,661,329,341,411,290,087,207,717,
343,239,007,621,676,202,961,239,529,502,442,841,717,373,265,836,463,679,618,
430,409,713,659,675,816,884,360,979,767,754,539,901,253,044,108,193,250,039,
301,559,343,742,155,488,085,002,885,603,199,939,250,316,403,378,982,277,360,
052,181,262,015,634,860,783,119,768,198,015,709,645,678,532,669,012,550,083,
751,717,789,454,364,041,848,774,594,780,921,181,779,472,987,158,270,391,133,
194,533,985,172,049,901,834,050,906,422,917,983,124,284,579,419,888,117,722,
473,884,944,037,216,657,384,996,779,038,978,651,142,214,776,683,637,197,131,
750,472,181,203,606,754,865,361,461,565,934,627,657,869,648,652,218,836,633,
108,726,072,382,271,352,822,964,531,216,663,672,184,582,196,004,716,031,159,
326,705,418,136,591,448,577,519,279,359,912,998,956,992,939,876,158,890,540,
361,306,924,945,574,154,064,664,199,568,804,528,724,340,331,693,783,695,274,
446,777,785,439,078,230,037,885,324,332,524,633,827,089,915,556,353,513,709,
826,531,282,545,680,349,067,318,162,143,879,738,433,662,828,526,594,379,387,
958,072,167,144,390,626,688,413,159,548,372,503,978,906,875,224,220,079,716,
243,473,976,433,926,005,433,699,903,766,608,879,985,648,712,420,835,548,199,
197,339,308,875,744,193,269,276,726,492,382,958,939,688,939,796,402,740,605,
886,542,429,681,008,358,152,493,817,467,725,540,774,840,150,156,738,776,227,
732,448,874,407,192,152,785,919,311,344,526,494,276,927,895,824,692,562,587,
668,477,897,352,678,881,926,707,104,678,141,638,021,595,932,142,214,344,302,
394,701,867,275,429,532,414,334,443,469,821,832,979,591,564,001,623,728,265,
142,784,437,688,630,060,008,545,786,504,777,491,686,641,347,385,289,627,569,
610,875,707,826,458,922,886,515,287,190,334,773,247,733,154,921,181,473,334,
664,023,875,048,355,014,408,433,731,622,267,656,485,494,761,944,387,213,041,
638,775,293,086,989,114,541,503,111,808,076,943,468,030,331,657,291,882,362,
570,517,725,653,921,456,871,690,854,733,664,443,517,537,831,954,417,353,862,
700,583,238,613,114,829,718,323,746,105,309,064,611,373,352,409,457,157,874,
836,204,736,100,166,938,926,670,233,701,457,850,837,590,345,375,260,277,610,
733,412,957,888,050,927,968,377,840,433,620,034,557,988,846,279,597,298,017,
159,649,525,103,128,613,918,329,519,854,877,609,436,616,426,518,574,545,613,
530,872,346,492,903,769,964,169,345,892,870,229,398,576,273,394,162,034,095,
372,291,213,627,652,306,049,305,611,072,070,092,245,669,268,618,098,998,148,
900,947,701,738,425,470,949,982,101,294,827,603,262,644,288,752,611,749,952,
537,769,430,467,378,708,748,144,723,564,865,979,520,547,318,241,417,800,335,
661,809,459,558,107,105,520,804,288,464,257,836,701,709,168,490,233,669,046,
213,673,697,681,318,519,078,680,387,641,165,008,945,879,744,015,785,253,822,
880,239,548,314,266,431,501,537,088,752,190,389,721,635,847,435,022,160,949,
799,040,213,308,387,038,252,934,008,855,212,613,333,999,120,661,311,616,176,
212,666,817,349,326,078,550,185,032,589,626,739,756,499,113,134,928,257,375,
984,391,295,883,835,430,367,367,027,952,314,957,763,096,432,189,263,845,305,
828,987,138,686,731,301,376,109,897,683,877,391,433,857,637,210,552,101,561,
875,301,767,944,568,449,705,044,534,034,244,419,358,090,241,137,948,125,666,
982,450,475,201,787,470,792,534,205,653,181,591,261,466,565,974,902,853,592,
152,268,444,814,658,052,184,721,347,473,466,589,805,621,817,470,383,247,934,
126,927,321,015,233,176,336,279,766,495,030,137,007,304,025,638,564,877,755,
947,942,845,727,322,306,568,653,951,602,793,594,459,137,594,179,122,016,905,
350,887,085,568,339,963,194,505,085,902,487,441,598,174,110,474,192,951,404,
186,040,091,829,393,305,772,656,488,638,039,596,934,138,995,165,589,795,083,
202,688,989,043,739,864,945,187,604,837,547,018,553,876,995,822,858,269,577,
254,411,574,014,873,964,860,002,229,690,188,832,394,642,442,612,901,012,963,
415,907,164,816,949,855,016,973,385,394,729,485,519,267,053,899,873,198,155,
422,119,419,031,058,124,551,304,604,182,724,398,561,186,058,401,028,674,549,
245,061,438,200,618,217,602,793,242,562,068,833,735,905,778,492,624,457,299,
636,038,466,075,760,633,938,113,136,112,604,770,077,434,854,645,061,285,512,
172,493,974,589,000,143,553,650,081,700,346,326,045,034,348,527,778,540,343,
828,936,244,141,662,830,059,286,491,493,862,906,319,503,013,569,590,311,856,
585,913,397,294,540,596,414,780,007,450,683,112,928,088,069,980,003,418,969,
425,353,015,539,852,460,392,626,712,425,432,069,265,547,679,243,821,912,130,
371,099,793,384,533,553,844,645,092,953,704,879,192,265,317,049,390,229,567,
581,896,473,062,476,771,976,782,529,504,653,432,831,043,976,609,525,314,158,
454,724,796,719,237,395,594,686,888,995,077,538,779,942,399,631,668,244,090,
084,321,445,594,975,824,301,034,503,286,672,131,183,550,536,959,100,066,176,
886,198,055,785,359,877,311,690,557,656,561,296,268,822,543,757,243,277,771,
944,731,067,799,096,223,826,871,594,541,857,303,491,551,815,049,099,718,469,
327,834,690,980,209,979,289,649,846,430,008,947,615,279,424,693,591,894,440,
288,457,211,902,982,388,245,530,015,166,533,759,391,119,180,623,639,665,738,
391,501,446,495,621,606,427,701,250,938,578,662,620,702,168,235,072,723,825,
084,439,773,709,315,916,533,751,696,070,862,085,599,117,338,050,417,877,086,
012,853,903,496,628,625,286,793,412,448,165,201,138,390,174,617,028,447,943,
564,899,896,707,781,226,319,832,345,339,707,470,597,376,780,115,432,725,846,
619,546,751,181,938,427,739,147,943,036,160,858,593,253,662,742,662,362,166,
792,084,745,608,797,565,671,519,660,322,543,068,703,028,742,750,282,560,068,
833,560,730,341,361,953,843,545,013,212,551,359,087,663,500,110,430,171,420,
024,226,543,896,302,442,818,690,250,902,571,188,516,129,495,441,653,493,299,
992,189,003,168,096,186,281,836,933,943,608,411,102,021,711,085,414,471,741,
892,881,824,886,853,886,044,711,993,952,361,624,131,364,766,438,178,893,899,
857,685,516,110,756,700,797,840,806,506,713,486,140,302,659,018,784,537,511,
502,146,619,276,770,436,116,614,625,639,621,216,130,625,685,219,329,589,649,
804,065,222,430,542,708,482,878,025,877,142,265,546,583,930,035,640,843,448,
970,714,124,335,818,930,660,908,721,623,710,236,324,246,448,886,531,678,455,
413,029,641,198,273,235,582,415,043,687,733,492,409,663,981,380,500,342,409,
749,728,067,512,708,109,868,006,026,478,340,004,099,506,667,934,310,276,726,
004,377,303,696,948,321,717,474,245,113,280,171,408,208,539,953,668,897,116,
247,574,560,233,600,961,319,269,202,189,972,385,416,093,831,267,776,000,199,
558,265,268,990,485,836,250,189,206,699,452,339,270,212,345,859,559,412,565,
101,302,950,403,303,299,082,814,349,033,889,460,839,199,570,559,573,611,580,
057,881,193,827,230,182,910,465,464,834,458,034,807,066,868,741,666,370,564,
006,585,008,100,250,486,144,651,237,008,186,252,949,535,020,005,517,229,686,
228,725,562,671,519,986,238,662,717,293,597,794,045,564,891,069,932,351,617,
013,183,268,006,539,419,259,152,162,248,940,447,004,139,636,950,611,429,701,
295,578,621,520,365,145,276,547,550,518,015,323,415,013,783,819,552,086,312,
142,253,338,420,164,801,941,074,302,421,282,908,824,471,237,176,827,182,079,
667,400,291,100,794,415,239,028,385,138,216,895,449,262,805,132,807,795,711,
115,814,137,347,517,147,839,139,729,696,798,764,740,802,354,965,543,134,891,
302,230,001,743,426,215,867,575,574,366,755,771,334,062,806,053,499,388,258,
865,911,504,942,400,521,214,035,612,323,591,804,448,949,434,193,935,773,205,
275,065,848,155,405,675,741,920,007,277,626,525,375,790,603,439,444,703,585,
135,441,841,678,895,892,286,851,910,244,691,109,426,896,923,570,126,167,977,
222,684,244,008,556,865,779,359,805,053,773,435,032,832,743,876,367,941,317,
700,751,129,675,720,395,354,585,517,912,911,783,957,151,113,191,376,851,167,
170,225,113,461,775,936,774,781,864,458,828,218,095,073,365,468,258,243,460,
789,763,047,235,312,291,140,270,858,618,051,981,077,945,011,842,452,984,501,
234,810,910,516,898,801,064,381,137,307,219,416,969,776,113,974,019,846,262,
378,130,738,930,007,668,701,625,999,545,164,399,534,240,098,866,404,912,371,
324,337,806,542,614,212,605,574,966,746,828,106,717,281,339,261,735,237,705,
763,094,845,184,480,733,878,940,666,553,679,255,876,121,342,025,612,334,471,
069,931,032,415,763,426,669,444,708,519,781,085,581,785,659,257,161,009,989,
325,821,763,819,694,447,718,686,499,102,980,797,894,491,265,053,406,119,058,
284,332,493,950,649,301,718,530,763,290,581,898,875,919,560,992,246,471,897,
439,486,026,851,511,114,840,597,884,634,295,932,233,980,390,117,404,734,460,
960,313,517,511,336,154,789,263,717,494,577,795,794,519,360,627,865,068,955,
762,611,565,460,141,999,976,067,905,876,260,805,584,308,379,792,801,058,189,
386,879,894,373,587,745,909,533,995,959,810,244,867,771,987,602,806,178,198,
110,584,270,044,949,122,907,122,019,616,280,069,713,452,725,661,871,890,660,
086,613,492,118,125,151,417,642,366,395,186,809,472,936,943,131,694,512,468,
244,706,368,882,632,196,015,637,578,640,681,856,603,508,690,223,766,715,188,
308,619,147,639,538,517,117,955,561,158,675,917,642,357,500,685,305,061,874,
494,684,243,931,476,733,296,346,048,805,448,435,315,292,586,365,165,191,980,
019,888,698,485,633,372,333,561,569,130,897,984,984,112,660,504,243,373,773,
768,887,626,000,466,420,228,732,854,334,417,322,496,658,167,659,268,000,499,
536,533,275,656,830,192,475,207,116,569,606,212,224,046,060,907,056,432,620,
219,437,627,429,102,834,780,278,100,504,592,474,795,717,659,310,488,094,468,
913,086,887,955,207,596,832,980,404,654,234,033,038,596,850,253,890,002,581,
005,034,437,772,746,643,407,047,187,591,055,371,767,813,136,591,797,260,529,
985,225,861,666,191,640,654,805,528,412,272,729,490,590,197,422,911,120,217,
484,593,219,726,201,311,177,991,200,316,301,442,556,372,849,641,219,792,153,
379,376,430,804,112,725,544,126,956,411,023,314,268,054,944,441,776,122,990,
273,812,822,725,447,384,545,149,684,969,747,346,347,762,266,196,022,626,374,
147,444,737,834,695,175,829,966,021,415,388,608,179,517,107,276,105,460,533,
977,474,371,539,885,303,112,440,445,676,274,258,948,131,735,220,200,328,837,
528,463,257,579,316,812,126,854,389,447,875,020,399,155,126,067,782,130,713,
645,703,638,669,438,307,597,814,319,443,913,345,067,143,485,708,504,084,028,
254,702,155,465,944,789,565,445,833,287,442,725,173,664,998,523,498,933,409,
692,922,605,367,891,594,985,102,097,146,220,704,027,952,568,150,933,532,040,
167,939,290,068,477,297,098,682,824,878,017,179,582,976,980,418,596,666,038,
775,079,850,220,788,008,675,159,729,113,983,610,031,742,847,047,250,984,671,
159,507,510,350,380,240,957,864,939,063,153,926,702,523,561,847,008,400,135,
521,878,499,387,375,244,083,915,492,077,756,033,413,584,365,269,167,200,614,
666,836,602,620,818,196,361,049,726,795,021,039,449,974,926,655,363,406,991,
362,792,192,830,083,996,409,874,979,521,697,389,566,213,937,575,330,423,258,
143,264,273,332,241,309,218,192,990,270,461,170,460,059,404,494,741,353,818,
168,281,499,530,982,759,917,217,146,742,119,455,688,818,731,552,333,750,939,
144,485,262,937,851,905,726,198,933,882,484,147,936,926,415,322,293,800,364,
386,661,752,480,080,639,481,010,043,674,240,269,818,785,181,867,382,939,691,
582,179,271,508,169,206,896,056,252,572,188,951,751,095,303,714,421,641,347,
487,686,899,592,683,821,215,837,505,836,402,717,174,616,792,708,572,348,676,
187,258,405,834,705,438,835,392,474,440,975,655,883,628,723,589,744,051,887,
805,157,315,721,377,170,127,800,512,063,172,160,177,648,618,798,615,615,570,
654,248,644,118,290,660,303,394,664,450,366,652,407,369,672,502,217,520,308,
637,934,084,585,806,660,397,254,397,749,140,000,401,712,670,027,871,443,777,
625,532,972,001,988,797,656,821,088,760,907,213,259,210,084,324,883,521,946,
385,170,934,842,846,486,644,965,805,555,539,628,814,051,944,206,351,550,973,
056,091,285,740,514,279,853,540,947,924,669,004,069,594,957,515,477,520,412,
526,608,696,745,156,512,701,407,660,911,725,841,056,628,108,999,051,439,972,
391,607,291,688,425,685,767,793,932,057,973,600,621,666,103,286,406,591,405,
437,818,989,841,015,987,155,159,873,753,310,827,922,549,747,536,179,494,777,
578,445,510,519,327,025,962,913,432,551,746,059,948,574,208,307,981,955,370,
886,918,566,701,343,137,158,721,195,138,531,884,306,599,015,632,024,861,537,
544,691,432,157,669,421,642,682,103,876,782,635,260,326,339,792,879,741,191,
531,807,109,992,254,303,101,936,802,090,369,706,775,574,621,806,740,385,181,
570,116,130,726,854,539,060,119,306,574,354,584,999,638,386,740,475,108,493,
983,477,581,314,008,511,141,224,013,703,745,394,405,101,380,738,418,545,770,
844,053,386,521,268,322,298,003,417,849,224,872,517,148,454,889,658,911,410,
465,531,168,424,432,039,613,776,704,908,314,846,749,671,229,852,644,548,937,
383,530,451,565,284,045,942,349,509,065,936,537,113,303,752,850,583,551,063,
077,533,367,792,596,119,806,371,835,856,125,296,146,441,367,786,158,516,750,
358,957,008,635,798,727,191,715,306,649,314,992,583,432,047,478,185,897,187,
299,662,244,625,376,422,810,048,998,818,338,121,757,641,182,628,501,026,430,
505,342,661,458,003,982,746,884,865,662,742,932,487,983,721,036,218,769,625,
210,252,361,253,336,721,898,819,331,529,517,358,671,067,956,385,487,554,679,
629,757,070,888,096,644,326,852,115,871,411,818,860,479,549,951,491,546,744,
114,324,622,586,408,618,192,826,780,560,871,332,902,374,926,838,211,522,540,
407,120,439,112,782,818,749,801,273,604,736,676,905,819,158,728,679,699,761,
436,055,339,493,222,637,004,494,957,187,748,519,724,853,751,577,473,438,252,
177,324,021,115,625,088,915,527,923,905,531,313,053,984,168,444,558,251,453,
107,798,890,231,584,705,496,213,619,150,345,480,856,670,957,078,953,870,444,
892,956,217,680,568,302,425,743,181,017,543,853,981,941,750,317,832,438,781,
273,240,111,166,772,496,739,292,254,488,301,728,513,313,100,013,209,095,129,
931,986,552,848,462,157,434,376,296,993,097,580,802,232,109,384,629,464,781,
629,135,628,278,750,635,876,879,977,595,197,080,943,694,081,551,529,668,319,
137,371,410,889,088,721,927,589,280,777,936,856,637,149,128,799,367,208,706,
413,267,802,327,633,253,238,090,488,961,848,367,964,453,313,196,810,131,129,
246,736,229,325,576,102,755,900,764,387,437,113,656,384,012,820,225,394,907,
670,892,328,423,404,697,018,605,175,635,860,499,834,073,656,855,553,322,360,
143,618,683,179,039,964,349,467,465,242,647,264,904,427,300,134,774,160,412,
452,092,828,130,608,294,975,793,128,813,437,875,041,357,782,534,778,615,742,
143,578,362,653,886,275,345,119,602,522,677,174,161,661,739,465,411,575,229,
208,092,503,671,184,279,098,312,094,066,765,678,374,138,867,642,760,743,482,
064,733,804,620,771,958,237,142,727,496,205,662,079,721,712,891,145,367,174,
818,821,815,191,633,408,379,849,283,674,425,947,545,541,692,366,096,141,339,
496,488,858,115,856,221,777,596,153,815,590,780,759,070,718,736,263,945,564,
815,289,994,103,720,729,447,671,356,619,692,953,357,445,297,614,665,547,051,
630,165,601,599,051,792,283,275,969,052,600,094,476,669,990,264,435,433,607,
331,642,706,446,586,802,616,708,949,682,161,620,619,714,241,451,225,592,141,
318,210,754,971,290,391,862,823,892,150,338,834,172,442,640,981,092,814,879,
767,350,470,350,760,986,215,940,389,866,550,783,058,248,296,504,164,773,805,
457,203,472,983,696,445,440,216,347,536,485,657,511,275,208,319,214,971,769,
941,459,472,994,076,454,689,265,252,213,015,465,135,971,044,018,735,095,140,
543,142,673,730,289,983,370,208,014,955,155,090,305,982,916,974,680,307,367,
381,109,220,498,489,196,633,010,879,418,416,364,121,553,833,642,680,904,302,
545,416,918,699,024,512,322,218,018,886,739,011,984,163,680,494,987,635,849,
644,897,908,359,071,083,712,310,296,554,684,333,376,102,605,559,127,181,433,
548,530,009,989,626,807,643,966,937,783,811,404,564,412,217,514,922,379,946,
141,315,362,857,016,426,997,469,900,490,193,322,905,684,843,842,771,595,293,
167,346,986,944,124,394,979,381,838,472,174,968,746,879,007,823,257,338,554,
379,467,148,401,384,776,109,475,659,914,965,483,437,508,992,374,238,124,524,
363,861,171,950,412,459,689,969,606,894,088,741,816,065,682,699,993,005,672,
627,336,546,877,773,759,312,227,342,332,180,821,995,788,220,328,624,235,757,
051,800,444,733,101,949,824,494,057,289,530,889,552,786,240,976,907,140,323,
886,125,682,309,660,732,981,385,349,048,344,886,001,823,428,258,836,951,396,
488,815,819,954,218,801,818,855,433,370,334,774,655,134,526,629,697,052,988,
354,166,425,457,220,955,086,013,672,818,220,598,270,058,603,207,316,692,400,
168,304,282,714,872,810,504,248,429,805,913,341,294,735,274,698,001,916,968,
803,653,767,174,778,196,595,361,784,201,642,038,175,655,649,977,403,653,297,
383,624,897,293,176,630,535,876,254,278,535,006,054,372,413,539,310,746,914,
855,888,412,244,770,370,335,880,037,937,020,168,721,300,283,372,432,673,934,
362,610,433,160,542,898,119,533,367,010,697,292,326,132,871,720,296,518,263,
618,121,882,365,473,789,845,297,850,681,890,253,066,609,835,968,144,109,726,
350,413,179,185,754,351,077,941,805,149,127,626,693,928,347,194,764,493,352,
521,111,936,940,859,877,132,587,055,249,671,217,195,837,378,993,199,037,232,
002,160,161,638,166,111,791,591,562,851,103,344,259,059,209,587,233,422,545,
520,781,872,397,256,928,874,639,053,444,335,834,063,599,447,663,521,755,934,
452,277,414,121,164,646,347,812,960,460,837,319,493,804,502,871,732,125,244,
526,114,712,314,364,284,567,981,893,984,921,689,710,511,716,344,143,805,646,
366,252,039,111,695,177,668,250,995,191,482,549,418,629,734,037,255,218,232,
419,520,158,362,832,125,953,193,967,558,853,072,515,212,941,765,216,267,459,
329,142,154,162,668,458,300,738,738,447,016,675,086,730,096,587,332,164,511,
190,512,431,081,934,316,936,356,443,347,663,713,824,794,214,657,972,910,328,
011,498,840,815,353,574,386,098,752,508,884,624,606,262,891,260,464,669,446,
040,071,686,266,796,020,580,688,964,467,393,036,712,425,161,096,559,307,871,
290,964,559,353,472,565,403,999,424,704,741,179,728,210,328,679,095,596,686,
854,327,116,585,491,883,369,388,897,661,425,775,416,572,947,420,679,847,210,
551,326,273,373,617,904,002,157,773,781,011,516,162,390,254,427,828,109,070,
730,476,279,831,988,388,681,323,829,905,232,895,059,418,066,718,750,753,932,
033,137,146,574,643,530,224,196,129,663,960,419,316,019,306,636,749,484,418,
467,106,622,540,468,238,370,649,685,023,087,980,578,038,831,749,650,834,943,
513,452,085,378,614,623,712,569,596,500,579,109,399,196,209,551,251,153,866,
881,421,161,854,776,209,006,599,114,159,264,121,522,565,059,487,629,490,308,
872,912,105,166,681,296,549,766,220,631,939,504,659,014,338,972,167,130,343,
868,073,812,089,952,731,497,081,731,322,974,632,012,058,701,446,732,821,615,
679,052,361,946,674,329,385,924,174,417,738,647,444,755,342,239,849,100,371,
491,210,929,218,083,319,741,448,107,187,327,581,411,429,844,430,002,426,923,
944,391,256,727,036,272,143,897,868,961,779,084,690,736,691,661,630,141,021,
671,020,640,757,053,633,489,267,836,871,732,386,571,876,127,566,603,382,537,
559,753,696,277,502,310,886,364,486,455,893,125,046,091,238,447,808,625,775,
747,358,652,648,777,611,793,529,804,831,028,956,803,445,896,827,128,586,971,
054,065,717,316,838,054,823,973,118,123,215,443,244,408,931,306,471,675,190,
049,380,085,698,101,738,182,796,458,844,572,028,257,934,346,488,537,956,097,
098,839,491,193,515,630,514,042,955,937,304,414,041,310,751,671,543,103,886,
988,596,644,978,978,358,832,882,778,550,795,204,354,876,218,082,019,647,525,
696,386,878,800,580,078,745,532,072,830,709,906,212,516,903,982,682,106,817,
177,136,381,131,772,188,517,984,001,832,320,135,557,180,602,389,213,708,261,
914,558,249,369,206,001,726,390,061,082,092,580,860,014,602,422,447,236,120,
209,607,980,164,892,647,632,259,263,795,106,319,654,837,770,183,523,421,320,
656,784,734,126,248,711,435,114,028,260,430,808,967,592,207,173,675,061,112,
014,961,163,788,337,582,822,231,890,607,956,510,902,762,890,567,343,728,470,
042,429,840,748,789,041,267,754,420,265,475,958,860,587,211,621,899,308,887,
114,376,264,074,553,169,121,691,679,651,403,619,267,720,157,182,066,789,411,
306,368,901,477,431,445,520,866,736,847,342,081,648,869,404,733,500,820,838,
822,796,779,873,943,741,853,305,613,076,341,357,805,268,318,930,435,259,517,
616,540,927,513,011,066,403,864,416,059,503,541,745,218,781,840,804,670,865,
392,450,926,063,136,331,199,395,444,848,035,317,280,440,998,068,305,937,383,
152,008,874,945,317,622,626,412,098,746,278,620,776,636,802,335,518,627,154,
480,497,528,630,447,352,941,889,083,738,322,455,189,026,870,048,237,456,966,
312,217,341,311,862,880,377,870,754,363,139,296,612,609,161,152,515,606,620,
800,911,676,164,806,746,204,745,194,565,185,404,370,246,092,639,355,680,674,
186,512,374,275,443,675,118,954,384,190,069,528,512,792,266,555,050,958,440,
061,101,180,656,113,167,066,382,085,048,681,091,514,431,849,575,786,264,016,
099,821,700,280,766,333,756,469,477,745,060,827,416,659,550,563,883,968,582,
414,691,902,824,133,483,315,090,647,034,291,896,165,788,159,791,404,830,714,
327,578,239,130,144,025,325,720,009,345,773,516,607,761,309,375,672,603,754,
090,791,495,287,551,355,078,553,442,703,483,549,416,516,477,490,197,122,751,
980,222,769,547,278,081,847,781,477,453,352,052,805,988,195,935,444,525,598,
095,977,304,754,207,309,455,847,548,919,766,802,167,712,880,666,398,864,917,
816,328,493,849,060,175,014,073,886,288,698,455,020,978,175,897,234,984,019,
543,927,072,011,345,398,605,091,611,508,546,024,364,897,375,867,471,283,592,
495,310,286,863,909,023,077,132,451,395,461,298,239,757,258,726,927,249,089,
674,731,130,814,922,226,347,396,246,718,531,390,117,839,939,331,297,045,788,
030,121,329,313,384,619,449,568,513,619,477,958,738,863,919,348,164,681,352,
321,942,828,732,535,198,594,632,351,929,381,957,882,746,336,701,887,123,321,
663,677,058,310,929,831,676,774,452,883,399,387,788,133,148,583,360,993,131,
368,071,706,683,886,554,752,902,329,204,966,066,813,663,378,716,929,222,719,
562,444,007,886,368,295,418,420,254,923,661,106,045,146,908,381,841,311,575,
350,448,757,636,058,024,060,392,870,940,103,668,798,944,197,164,134,674,589,
805,204,984,198,490,966,877,753,134,209,314,393,202,066,268,170,510,691,001,
716,499,005,943,889,985,276,924,711,389,059,949,878,981,906,939,809,745,288,
414,015,352,426,846,783,365,544,819,720,150,057,649,303,957,414,416,623,155,
473,744,667,959,806,356,549,105,068,444,735,557,968,995,366,522,120,921,953,
830,204,873,407,848,340,556,429,713,695,359,358,992,588,995,104,412,431,379,
963,267,105,373,612,375,979,890,196,232,358,761,288,891,289,169,333,912,928,
178,568,029,417,885,006,628,954,467,862,180,908,616,175,284,048,914,396,924,
232,144,878,417,347,026,747,624,019,694,092,043,839,280,228,493,766,822,620,
154,768,572,550,994,347,277,164,455,538,255,135,344,307,338,939,570,493,924,
437,220,570,000,687,911,343,540,951,137,681,550,543,499,675,888,797,518,480,
792,044,077,812,346,121,134,989,089,549,731,135,926,599,856,810,738,177,357,
947,088,848,094,723,644,156,827,271,294,062,906,186,593,229,148,000,272,833,
014,055,942,760,572,879,698,162,648,260,338,349,035,773,359,890,617,458,476,
406,318,334,267,757,392,930,323,969,024,249,683,757,725,314,270,794,467,609,
658,246,668,443,701,963,872,897,698,683,988,926,542,828,429,849,703,140,563,
385,931,502,980,412,591,023,035,527,236,999,938,559,344,253,765,905,834,947,
081,249,438,598,172,180,652,409,718,943,115,585,666,626,925,881,607,733,968,
315,982,811,850,455,337,851,985,914,307,305,185,942,875,480,433,753,070,086,
847,767,668,082,530,342,419,684,929,807,389,172,196,798,902,742,757,220,876,
782,415,888,596,056,116,121,745,653,966,659,786,027,343,041,312,356,664,671,
091,549,293,224,278,954,515,918,581,555,646,531,526,815,858,406,391,988,825,
921,050,411,419,498,976,244,228,505,962,495,455,202,661,594,562,152,384,301,
000,884,024,110,529,223,525,198,076,472,068,666,822,167,997,853,199,239,330,
736,530,217,766,149,328,627,229,217,630,586,711,620,532,299,500,201,444,669,
552,635,983,770,956,405,693,450,195,312,373,221,735,380,820,361,877,006,475,
118,561,552,292,126,842,268,179,762,188,534,508,939,972,113,648,065,882,936,
375,586,995,471,241,090,526,292,155,710,510,894,461,240,986,626,280,524,254,
052,521,203,504,698,293,697,814,497,050,997,111,054,842,542,967,584,500,694,
555,169,313,238,991,163,753,573,373,271,273,766,205,206,928,510,644,833,182,
646,003,673,641,745,948,280,449,892,870,247,314,212,005,960,008,932,336,301,
410,683,434,862,313,008,745,384,670,561,722,969,452,981,800,554,772,734,378,
678,421,350,096,425,656,479,836,687,651,826,051,442,589,902,301,473,606,265,
864,562,254,873,932,356,852,952,747,133,770,111,586,135,392,873,264,467,723,
001,861,729,361,163,092,711,915,437,552,867,646,617,069,023,017,356,000,684,
914,007,565,324,504,996,757,528,565,468,668,804,703,455,908,666,523,831,348,
792,659,490,496,595,045,076,288,926,768,428,412,623,565,765,505,709,908,669,
013,957,296,636,488,396,631,388,497,278,074,951,087,537,797,742,253,971,104,
980,305,270,322,936,140,650,825,056,577,001,940,603,387,015,500,633,809,584,
089,951,188,148,673,272,723,925,862,057,028,214,667,142,570,784,815,616,603,
685,526,663,751,975,274,167,906,468,073,270,093,236,048,969,004,787,366,551,
887,313,477,633,347,234,913,064,356,293,765,441,161,216,730,822,245,806,315,
989,499,439,762,595,979,697,597,568,124,765,092,780,853,194,561,198,647,234,
512,845,078,091,499,262,223,388,244,186,966,173,680,213,237,025,238,493,151,
309,485,658,504,290,092,793,287,667,131,644,811,496,619,378,050,961,802,090,
040,895,276,336,161,264,972,758,256,620,532,046,674,201,662,926,385,789,727,
685,599,566,070,629,978,215,379,474,197,160,591,899,588,946,145,418,076,488,
915,841,893,093,130,460,671,286,954,249,382,688,278,889,815,874,936,592,663,
133,539,526,981,792,416,623,448,091,644,135,439,310,752,537,018,499,833,215,
165,299,288,271,305,530,367,400,797,738,137,230,048,146,402,310,838,540,272,
215,956,019,073,853,617,967,145,270,782,229,595,701,165,381,814,784,514,093,
891,580,739,597,511,127,588,428,211,140,609,214,861,352,159,031,211,975,361,
777,415,136,110,785,814,492,052,496,832,502,528,351,586,766,309,935,972,053,
293,245,386,171,975,594,080,503,364,882,736,088,575,965,866,364,083,487,182,
027,507,875,206,210,881,018,344,628,512,330,244,050,004,139,073,388,567,313,
114,336,933,113,102,552,975,637,154,307,084,746,602,948,800,962,158,158,389,
254,050,414,497,722,602,427,706,663,768,395,084,184,899,971,174,125,534,769,
766,380,961,363,154,291,047,360,147,502,809,819,559,971,235,853,592,302,169,
246,676,669,335,078,386,492,286,181,639,810,698,746,695,850,139,637,474,167,
671,720,043,765,841,347,138,765,777,960,406,066,149,655,574,185,965,608,231,
683,975,224,318,326,330,193,465,591,342,037,151,482,317,116,355,833,949,958,
374,210,558,076,653,555,282,874,614,561,747,667,013,702,619,963,369,268,925,
963,560,410,137,337,719,441,198,316,109,386,442,990,904,499,634,887,932,751,
726,319,329,856,238,511,076,604,471,495,572,860,008,912,009,617,544,155,132,
094,488,577,216,094,447,782,311,857,919,779,356,005,110,673,698,412,613,086,
533,166,738,504,178,921,581,422,004,081,647,006,036,539,915,320,582,545,598,
843,975,806,718,265,057,630,512,934,410,000,727,307,729,499,079,970,264,000,
223,720,360,881,019,884,071,095,842,940,688,815,902,989,528,173,302,928,868,
826,961,131,871,640,715,091,417,296,982,160,798,284,640,469,753,872,287,115,
442,015,611,627,460,941,925,053,174,990,954,275,563,649,074,291,776,828,858,
983,228,070,233,975,308,287,408,353,651,579,927,315,348,903,005,577,881,818,
969,390,134,644,974,138,945,304,861,857,821,277,146,287,425,167,384,634,993,
134,912,679,661,506,311,668,025,580,037,513,224,487,205,366,337,122,088,018,
238,635,005,980,847,194,860,035,481,358,082,796,664,383,730,442,344,248,635,
516,936,924,531,067,906,269,777,715,983,559,396,982,165,846,817,586,035,132,
880,314,571,785,588,995,712,896,669,733,113,408,955,126,228,017,609,521,469,
708,732,148,840,382,367,500,485,442,509,904,902,629,501,476,790,828,124,987,
474,407,848,779,106,462,513,248,061,338,693,800,594,170,487,232,789,073,959,
122,217,022,143,258,189,215,298,395,329,723,409,585,603,330,265,472,961,495,
793,154,494,122,970,226,743,258,908,349,540,811,649,333,467,241,512,034,765,
723,688,762,062,595,017,624,013,075,533,285,538,008,269,805,971,248,325,118,
895,901,408,642,548,442,838,358,331,905,321,500,872,025,728,997,785,625,252,
839,915,577,830,622,760,815,251,308,132,582,860,941,515,281,559,435,255,630,
512,828,568,872,054,395,509,270,275,671,153,975,617,596,410,344,653,235,825,
212,759,021,727,282,682,098,091,589,395,591,050,918,103,287,749,135,847,636,
247,975,179,183,311,269,544,152,752,849,044,035,854,971,213,850,300,522,440,
235,118,079,278,220,324,282,338,495,000,283,537,273,892,882,303,201,684,224,
062,852,436,616,646,218,192,925,671,437,646,624,186,032,941,930,023,642,122,
953,092,690,352,426,088,385,366,503,243,842,802,738,141,985,887,149,303,607,
904,384,545,161,996,839,981,181,211,287,603,890,675,238,793,906,240,118,038,
461,473,168,890,773,252,079,421,374,380,496,910,264,998,222,861,185,085,434,
960,410,203,797,952,854,468,005,700,183,126,085,053,933,593,953,672,361,600,
837,584,122,628,200,139,828,913,474,920,772,529,517,822,005,372,704,046,530,
875,009,572,075,355,054,051,216,599,354,773,295,406,875,238,966,472,654,072,
562,484,434,827,213,062,307,043,015,923,202,487,814,355,483,072,151,322,419,
310,353,314,887,806,673,290,324,998,102,076,835,021,316,581,338,084,230,969,
094,165,769,016,295,541,516,703,881,110,408,961,571,774,644,138,687,334,727,
459,809,713,367,888,757,616,494,813,264,734,578,746,221,995,821,474,196,408,
266,047,673,952,506,669,754,127,436,434,808,945,718,996,406,333,821,619,806,
070,141,930,277,470,060,536,562,462,061,690,391,834,305,242,699,000,689,623,
220,577,237,082,456,665,433,714,209,428,334,657,857,117,108,093,654,713,311,
621,670,999,151,535,082,514,617,271,671,680,473,368,383,001,192,318,102,328,
778,914,774,845,558,985,490,335,987,054,541,554,773,642,161,961,301,269,948,
680,632,133,164,992,184,207,116,022,773,096,550,699,883,060,279,208,816,316,
932,234,569,975,963,326,653,493,989,934,157,397,856,866,265,818,893,602,859,
525,295,315,929,603,196,967,230,458,035,626,730,360,865,483,219,278,906,300,
253,752,794,406,277,247,676,940,986,123,764,011,983,461,184,318,080,490,227,
147,780,314,161,712,350,584,095,707,590,571,122,591,657,418,098,364,676,922,
495,572,648,764,470,452,793,954,688,543,514,071,755,254,567,474,918,410,495,
601,649,486,295,300,457,756,945,127,070,097,992,550,286,629,042,263,472,484,
314,077,565,028,311,853,914,185,713,753,742,548,702,660,208,445,471,744,388,
142,464,546,443,571,454,773,887,029,216,495,764,010,614,069,813,334,086,859,
636,555,967,494,641,401,095,067,407,157,969,220,186,014,492,870,381,800,365,
006,738,225,286,488,838,337,958,192,409,476,784,550,148,788,837,972,179,957,
945,080,844,160,992,696,363,656,107,585,167,432,847,271,520,114,852,986,745,
885,458,781,386,025,303,803,187,775,766,599,788,904,913,975,952,109,256,527,
819,602,642,643,842,080,539,710,959,868,941,635,867,147,717,736,919,114,424,
511,178,254,867,322,502,281,573,891,057,153,199,147,127,567,565,528,109,947,
989,765,216,304,511,220,139,864,289,764,473,451,688,200,275,255,976,155,148,
107,743,623,434,258,106,884,982,076,897,670,743,101,760,319,666,060,523,979,
181,666,917,723,308,521,094,890,386,333,109,993,252,930,356,140,809,874,043,
417,089,205,718,199,770,414,153,143,322,418,215,052,809,826,098,417,059,370,
240,029,614,851,494,256,505,593,126,549,846,362,028,812,575,973,688,660,173,
873,998,951,988,666,372,638,383,973,853,278,859,895,896,108,648,477,947,962,
591,532,902,170,024,124,079,880,551,330,432,936,834,338,427,514,819,767,740,
294,556,692,577,563,833,111,165,219,830,543,204,822,749,299,648,985,927,592,
585,196,677,103,227,049,498,659,383,530,411,650,117,520,740,267,811,333,922,
717,929,389,356,033,679,544,278,244,754,709,985,292,127,336,699,815,671,933,
310,310,676,918,327,685,249,382,243,671,889,322,174,343,707,689,051,123,910,
385,507,544,568,344,131,839,687,158,091,873,508,460,408,577,631,283,663,145,
826,988,735,019,844,457,559,763,469,235,240,851,116,172,168,510,242,716,695,
741,992,860,323,254,876,404,001,233,698,847,546,292,893,394,067,166,158,556,
999,981,277,613,563,846,747,639,831,150,673,275,558,425,883,256,921,028,840,
477,390,453,001,182,984,174,201,981,328,782,957,915,668,140,997,378,163,783,
030,951,059,860,365,938,935,397,014,133,155,193,228,060,066,099,861,434,665,
534,616,238,693,334,828,513,684,200,429,541,679,969,687,526,997,448,862,693,
315,701,566,388,325,056,155,343,569,556,327,500,830,454,491,663,684,908,920,
615,981,961,842,192,705,179,618,262,564,746,133,606,452,341,256,926,741,978,
498,641,644,577,792,446,817,891,587,019,543,129,789,828,324,059,379,499,753,
800,460,134,882,649,465,395,531,324,283,344,129,973,469,902,555,960,445,062,
156,986,576,508,093,147,517,207,181,003,949,779,279,401,295,136,232,273,314,
069,814,647,999,070,690,408,218,596,483,436,498,304,160,576,293,627,753,894,
652,769,039,913,064,845,812,372,691,926,922,834,213,801,975,432,960,896,395,
103,044,021,250,082,361,816,654,598,991,870,700,292,660,760,595,352,514,774,
919,482,517,873,588,526,508,020,821,046,483,491,683,980,163,520,304,527,284,
663,711,452,940,669,072,720,880,106,496,687,453,226,426,936,172,648,742,218,
950,802,983,528,594,775,789,935,980,066,040,005,648,324,163,832,524,045,474,
923,620,935,525,317,312,456,222,906,431,435,836,109,945,962,455,960,319,807,
902,731,364,324,703,597,004,276,333,404,297,218,796,060,082,341,204,133,284,
718,544,906,994,308,733,311,132,168,246,427,883,236,671,943,741,743,610,335,
802,752,777,676,138,980,820,823,143,846,494,294,451,458,773,169,992,900,531,
054,261,970,303,467,263,400,785,973,627,287,456,449,736,987,933,693,367,634,
792,037,131,159,221,796,807,714,880,195,523,838,673,447,740,390,565,867,687,
448,900,332,004,748,899,914,472,505,958,417,875,726,382,746,574,468,527,362,
570,349,087,554,002,615,033,686,556,410,980,711,322,979,797,320,016,594,065,
768,600,350,211,260,377,442,233,764,884,306,474,563,287,882,281,479,628,844,
585,946,277,707,801,772,298,807,937,015,633,067,709,298,340,897,203,059,433,
830,375,289,922,054,042,429,451,990,972,718,446,855,785,757,245,868,315,833,
881,994,869,207,212,435,910,691,628,597,410,119,731,813,330,840,347,373,578,
906,253,884,943,069,955,878,605,745,342,857,708,696,425,373,070,220,411,293,
723,474,283,004,601,265,047,874,456,225,802,128,407,877,761,002,157,320,118,
830,191,378,429,752,333,156,912,379,515,386,746,179,054,576,743,043,959,075,
130,230,357,994,233,084,467,591,635,049,205,887,512,952,161,791,408,386,305,
641,892,113,651,848,786,377,222,587,489,737,119,628,663,602,969,420,252,191,
612,380,321,574,365,210,167,773,265,480,148,831,842,134,361,076,727,482,189,
689,154,217,303,996,892,884,487,796,787,782,030,798,322,069,824,908,539,823,
551,241,822,526,431,579,646,910,883,337,571,281,861,882,765,710,973,483,160,
157,799,091,693,578,668,611,759,386,712,056,428,264,904,839,899,685,519,500,
474,297,375,645,230,301,396,989,416,685,353,980,511,129,581,399,820,430,780,
146,143,752,861,133,130,948,553,805,276,451,412,503,246,251,398,689,943,022,
416,730,896,909,616,820,615,466,799,185,516,498,136,486,032,602,921,037,395,
920,893,860,758,248,308,212,429,548,051,835,030,092,514,274,369,247,681,549,
206,062,982,566,779,684,771,496,426,432,186,490,451,641,004,232,002,494,504,
182,280,945,171,435,409,304,423,436,456,988,027,485,178,284,742,343,797,158,
097,919,770,141,519,706,602,804,048,210,988,346,229,478,974,183,120,060,083,
873,503,047,562,474,174,579,097,899,877,826,521,202,410,243,252,292,213,119,
005,712,664,820,596,615,056,976,058,799,748,558,860,394,972,997,412,439,535,
098,608,957,797,575,736,205,803,836,210,705,112,108,756,024,213,858,153,895,
207,034,958,435,419,725,464,663,631,593,832,815,190,680,639,316,728,424,586,
873,034,132,691,802,155,287,403,748,656,511,819,213,715,395,010,011,709,098,
858,542,568,938,336,748,695,404,646,436,622,872,508,566,508,689,055,050,434,
441,492,588,283,788,463,231,346,918,425,893,155,403,005,718,008,585,278,004,
948,247,635,624,501,661,038,146,923,325,914,655,639,945,236,693,082,734,876,
021,992,867,645,888,856,201,038,842,203,846,711,326,470,120,496,051,961,852,
880,847,608,215,908,048,248,715,710,641,872,198,950,384,887,602,214,210,446,
921,754,854,655,703,339,909,237,686,383,727,360,518,528,673,728,707,078,451,
139,183,772,653,773,126,481,082,594,913,939,264,678,475,144,401,592,332,765,
838,626,576,398,259,658,711,741,699,180,913,271,543,234,590,899,358,098,361,
709,718,325,745,700,090,881,224,046,649,256,133,060,269,597,029,116,154,413,
459,637,344,548,248,266,196,412,093,140,020,901,369,188,895,325,188,585,313,
408,843,309,174,837,432,525,247,104,970,764,095,455,979,660,153,912,544,503,
760,493,397,581,522,093,278,300,057,014,067,830,630,014,877,704,401,992,895,
669,624,287,221,983,193,020,108,454,912,764,295,565,508,142,271,106,015,091,
085,752,245,189,681,035,684,148,929,462,288,287,332,344,617,755,416,431,288,
254,548,590,792,077,201,767,209,960,471,558,171,753,264,253,136,314,289,896,
436,132,141,227,403,203,185,601,896,284,010,347,547,827,547,913,762,577,502,
549,930,746,007,858,496,532,500,830,251,317,678,098,881,028,976,354,476,451,
208,189,853,028,400,144,598,849,723,410,915,847,898,615,555,867,412,631,848,
185,436,242,796,449,450,964,842,883,915,560,723,793,690,833,122,056,975,054,
081,069,547,109,689,438,814,399,005,769,594,956,829,528,646,827,882,481,824,
819,429,532,910,158,207,399,847,747,163,727,115,077,964,615,253,528,602,975,
917,982,565,502,972,315,851,076,535,322,757,132,837,819,713,727,373,172,220,
206,346,484,813,246,705,307,592,722,176,780,059,155,991,412,701,883,019,833,
068,182,843,982,418,976,982,794,884,870,316,914,616,524,059,681,584,853,960,
095,296,902,593,402,528,782,068,889,545,639,174,251,389,941,419,342,014,579,
741,532,416,761,999,079,515,824,114,686,763,644,131,795,175,242,716,491,166,
345,976,062,169,895,062,026,478,702,177,920,425,431,483,378,071,642,771,068,
549,628,971,665,966,629,440,300,013,616,593,034,050,742,525,763,750,010,457,
589,557,818,689,255,076,683,245,221,701,060,807,747,509,079,139,358,594,772,
218,481,552,582,888,148,794,068,732,940,301,603,564,371,255,355,169,897,136,
957,795,916,712,476,618,033,520,721,476,605,061,187,869,468,095,009,580,169,
326,604,424,727,424,977,463,110,814,792,208,328,881,344,421,179,347,581,745,
841,914,236,160,714,754,723,118,135,109,110,085,982,114,625,037,589,631,911,
876,915,711,737,112,342,859,418,659,488,986,157,606,119,565,108,520,006,186,
721,427,899,091,800,967,879,151,937,920,221,093,784,176,430,420,477,054,487,
902,804,020,178,064,657,732,186,522,704,455,310,830,206,569,771,028,567,948,
842,785,582,152,700,961,458,276,969,168,729,740,211,749,709,929,750,805,914,
383,800,730,128,451,227,927,321,884,232,067,855,148,223,245,372,021,607,612,
825,983,265,385,652,488,323,316,385,974,323,623,684,032,807,133,718,245,952,
179,605,568,893,218,558,900,169,176,449,353,411,291,976,399,360,732,625,957,
503,789,260,421,657,857,925,720,069,552,450,436,947,782,688,479,722,602,456,
619,080,477,258,492,441,107,342,326,431,715,908,640,486,590,010,138,154,803,
949,581,771,080,187,608,710,036,661,373,749,278,849,870,864,577,332,193,650,
601,549,539,139,944,733,909,972,280,645,740,511,269,085,059,217,959,510,134,
578,255,777,437,637,649,632,026,861,660,952,899,943,797,273,094,526,916,146,
549,595,005,933,657,755,468,732,302,355,216,296,464,145,051,007,799,639,405,
206,304,125,354,854,418,660,353,289,420,210,393,537,169,653,035,303,813,948,
167,133,007,509,273,705,099,714,010,131,792,019,603,518,724,708,819,324,010,
922,283,386,628,556,786,798,654,555,801,720,412,382,624,879,380,802,648,620,
010,171,531,141,453,160,710,460,719,832,679,723,546,410,689,007,196,734,291,
548,920,688,616,032,255,051,105,302,089,256,126,463,091,234,062,377,820,439,
912,243,329,096,155,670,117,103,030,054,928,816,291,609,596,711,437,383,790,
528,225,170,606,290,493,034,488,897,758,452,287,014,261,849,766,421,996,961,
347,836,064,609,012,266,899,961,047,618,538,876,801,069,098,781,084,160,744,
508,428,887,906,052,001,276,224,806,830,070,109,252,680,265,442,323,126,387,
607,226,885,306,286,506,009,092,188,392,957,009,691,849,479,221,016,960,274,
442,091,550,151,442,805,829,786,500,940,897,380,560,040,529,576,251,142,764,
098,633,615,596,363,028,085,024,614,386,061,787,815,107,523,171,364,619,040,
168,554,227,651,883,164,408,566,234,712,848,686,657,940,350,331,443,441,002,
139,817,001,017,883,167,039,142,400,983,594,802,399,827,895,636,682,658,398,
161,378,499,455,258,836,554,147,592,504,039,427,044,799,343,094,918,620,398,
931,720,482,430,927,293,086,397,610,682,330,659,467,155,277,953,929,080,425,
576,174,127,841,379,669,978,764,404,710,395,735,843,825,256,515,746,789,346,
960,201,179,415,143,491,656,679,622,741,789,032,367,623,263,068,282,776,865,
263,958,509,341,477,658,042,275,356,160,702,227,077,674,389,090,568,685,467,
017,184,843,124,546,361,844,987,894,158,977,322,733,979,149,146,670,259,067,
215,228,078,279,148,621,477,346,620,339,911,805,637,603,251,971,760,016,759,
206,111,225,518,463,067,437,834,191,806,352,923,358,108,918,301,430,726,837,
275,983,938,791,770,519,821,706,309,433,646,390,921,610,507,356,489,864,278,
501,106,951,321,877,498,543,380,290,696,512,415,680,745,592,124,243,599,485,
703,858,434,880,835,924,127,666,480,561,864,102,202,119,285,627,537,818,796,
797,465,911,621,478,402,778,334,286,606,906,773,837,353,247,519,689,859,954,
382,300,461,354,462,069,960,652,029,935,075,384,176,698,294,802,624,118,994,
289,359,793,239,010,415,918,695,930,939,266,723,642,522,311,937,926,831,319,
953,132,299,710,905,042,116,089,199,503,108,312,079,595,657,819,182,500,721,
417,887,019,118,382,131,513,004,036,276,133,451,149,558,435,275,375,383,909,
061,416,724,499,204,726,335,595,428,018,824,874,446,405,918,753,097,995,702,
659,303,932,459,415,318,790,956,885,060,573,091,459,748,338,745,382,369,868,
224,888,857,350,112,779,169,499,924,413,028,415,602,232,426,780,103,657,908,
365,327,323,479,776,102,147,015,823,912,296,405,855,230,485,996,531,758,859,
347,422,328,876,433,480,593,799,103,377,663,535,176,014,772,285,934,075,488,
051,527,476,269,585,432,468,150,617,514,202,322,126,477,986,265,582,298,582,
318,059,193,706,779,937,812,761,220,930,996,014,305,461,237,826,895,076,351,
108,127,613,441,360,088,921,943,807,498,152,057,857,375,719,680,209,162,982,
152,400,639,373,375,792,984,000,203,836,499,768,840,693,289,818,460,147,260,
610,173,734,538,862,131,238,233,561,258,593,744,918,898,356,796,826,740,116,
309,284,913,461,230,037,484,561,552,721,250,598,732,668,715,118,261,477,956,
468,339,225,480,749,150,889,588,751,205,866,018,175,413,582,740,303,665,690,
218,648,280,514,436,993,341,385,954,477,933,123,260,607,088,725,139,163,295,
407,697,383,563,649,437,104,910,867,493,389,597,773,195,844,872,838,096,324,
643,299,920,759,488,267,232,281,753,513,903,477,769,518,744,141,197,631,512,
537,658,343,223,021,628,319,985,332,464,506,883,121,642,599,094,943,804,753,
157,641,145,269,668,816,779,217,430,418,421,745,953,440,019,860,768,575,977,
079,724,517,928,711,880,272,623,879,137,481,847,666,368,488,400,208,398,909,
311,644,426,999,113,382,223,295,356,523,685,038,511,282,056,534,322,365,929,
148,234,660,877,651,979,807,762,462,309,146,815,165,648,346,466,798,838,204,
371,547,372,874,283,869,220,155,443,543,428,434,318,881,217,508,823,348,570,
430,747,868,596,817,962,911,098,852,609,120,523,651,565,208,306,460,902,879,
358,245,096,018,586,362,713,768,388,373,930,131,725,394,644,375,457,915,002,
391,370,712,658,628,153,994,813,001,894,147,405,829,689,981,089,131,556,326,
683,109,326,386,172,622,820,994,389,022,861,702,144,077,756,185,818,992,090,
008,724,734,504,708,601,674,899,551,226,212,880,405,608,181,722,247,915,768,
690,500,702,732,233,087,266,952,892,615,729,922,996,244,230,926,462,621,267,
644,454,234,460,401,442,345,770,077,312,701,587,574,550,429,687,406,055,417,
385,806,017,018,251,388,034,891,658,553,759,819,330,246,385,221,740,949,567,
088,907,232,805,410,656,115,643,908,936,667,418,170,541,333,127,723,241,905,
936,408,006,477,276,163,508,462,605,384,903,552,841,810,187,164,027,083,293,
598,550,293,103,015,971,993,660,995,642,533,707,883,458,673,990,819,180,352,
120,298,974,216,103,687,094,449,530,444,479,850,020,590,855,268,255,511,401,
978,084,316,726,524,995,143,147,351,884,551,468,801,493,077,015,944,833,823,
577,705,865,795,483,027,538,919,434,009,115,905,157,739,370,398,800,975,406,
299,469,304,797,529,458,428,085,843,255,841,147,192,743,215,443,036,644,378,
839,213,061,851,027,789,515,745,840,240,622,630,437,177,496,465,339,299,145,
595,819,715,993,224,241,652,719,068,115,285,651,651,879,959,714,512,862,687,
345,715,309,549,825,468,555,877,402,656,851,378,909,198,593,897,151,198,487,
901,518,420,091,945,885,250,277,075,979,523,473,198,733,787,201,095,071,878,
355,204,685,151,713,483,842,767,829,647,059,474,831,420,396,401,580,705,023,
877,169,868,757,399,394,059,320,195,358,206,118,924,391,289,324,891,846,696,
157,523,470,833,356,947,093,558,833,323,838,314,136,886,537,736,265,401,057,
284,491,963,584,509,799,865,006,411,634,194,890,421,016,476,134,898,312,920,
652,794,292,431,159,759,495,461,559,305,677,136,453,574,122,640,967,853,629,
978,443,996,522,223,781,976,998,645,390,334,517,420,146,768,130,998,747,384,
742,310,284,531,203,674,846,369,176,040,889,588,519,938,965,708,532,805,717,
579,984,147,059,540,320,196,361,478,752,788,688,090,980,314,698,666,387,457,
063,850,029,102,054,139,161,417,980,880,557,399,540,080,775,737,223,366,234,
207,251,147,275,571,421,024,283,614,580,061,579,329,228,051,899,454,338,996,
453,127,903,174,360,486,080,073,919,604,727,075,342,676,348,298,217,174,172,
349,541,235,122,184,706,319,225,501,102,063,286,386,841,000,145,670,960,846,
934,212,752,644,765,222,377,892,688,353,348,283,315,796,816,111,897,724,819,
156,108,559,591,931,146,412,039,845,052,152,471,716,510,655,314,961,882,141,
633,971,566,669,557,682,123,393,811,412,800,069,203,303,990,252,167,342,511,
463,096,192,681,297,992,815,535,460,564,451,189,303,382,761,405,275,341,259,
506,011,910,357,116,201,403,370,347,005,393,451,349,871,207,693,323,122,988,
783,457,431,243,327,624,449,950,812,321,109,181,828,006,487,274,122,039,146,
124,578,844,482,462,077,986,859,884,878,193,573,555,912,560,549,149,689,562,
710,981,052,016,153,791,374,963,953,937,185,174,027,957,211,773,561,914,336,
483,597,309,727,142,297,391,298,809,418,154,673,437,895,255,258,413,774,048,
005,598,069,022,483,088,023,114,842,163,237,153,017,931,509,956,630,826,579,
309,220,203,551,538,199,971,006,223,429,511,033,012,239,445,132,326,631,061,
610,472,213,897,055,645,906,824,910,328,407,959,422,261,838,176,468,086,267,
191,959,034,479,054,410,847,494,987,066,245,011,973,313,235,904,774,539,906,
371,023,002,107,184,752,177,077,841,617,916,194,126,670,525,801,401,676,756,
099,668,528,066,353,598,086,249,612,390,012,942,995,282,570,258,903,321,993,
677,274,718,346,106,584,506,427,849,320,082,130,509,625,179,734,810,258,250,
129,068,338,595,204,186,561,921,114,732,534,043,901,588,219,806,552,930,045,
395,575,879,476,033,133,059,242,501,438,618,418,659,832,164,930,989,796,658,
134,455,555,984,090,570,008,377,698,376,235,616,965,187,892,642,618,450,582,
703,344,069,839,256,966,545,600,230,658,522,257,007,261,236,636,799,459,461,
551,082,164,700,143,865,604,481,134,442,475,742,735,522,323,705,857,866,055,
224,171,829,411,162,318,537,933,544,557,364,149,615,894,741,639,503,574,735,
540,816,913,923,343,972,267,292,123,136,597,680,222,998,872,541,826,487,792,
432,489,971,394,282,363,179,476,241,726,560,715,225,502,133,540,199,526,682,
482,752,353,280,169,075,571,183,601,895,029,447,168,054,648,091,604,758,774,
930,712,907,048,717,679,195,828,443,495,958,900,662,187,107,294,246,012,398,
776,857,382,537,526,456,324,445,187,943,132,944,941,143,897,598,507,479,826,
532,432,321,927,353,655,905,407,964,274,145,184,388,900,591,054,575,622,393,
601,669,669,009,757,538,918,310,742,698,816,791,832,402,106,320,116,694,184,
806,725,427,598,440,834,136,326,469,104,348,867,550,628,668,647,345,604,069,
597,096,099,910,850,605,033,357,714,130,424,223,210,275,024,179,818,152,852,
404,728,217,419,718,232,049,326,782,309,065,677,407,335,566,621,532,459,369,
254,305,673,124,702,207,113,493,242,013,490,503,526,314,046,245,600,972,291,
300,439,996,889,744,001,439,310,692,365,666,360,351,699,448,664,310,360,469,
154,205,517,663,725,876,475,543,573,252,689,478,645,219,754,728,664,313,242,
977,963,497,976,533,168,896,994,414,108,684,870,794,470,344,128,183,480,102,
624,636,546,237,216,099,669,033,022,592,638,437,438,532,287,122,920,221,876,
955,815,465,530,297,885,086,844,509,843,581,287,956,761,948,913,048,633,494,
924,160,465,581,909,579,640,106,502,131,866,449,733,465,435,389,831,480,059,
848,025,400,981,785,868,164,394,455,068,337,127,267,645,832,871,705,198,743,
335,732,823,239,349,309,800,935,678,814,081,529,933,543,306,835,388,773,717,
655,598,670,795,738,046,423,713,472,983,956,506,735,240,439,353,204,148,279,
613,095,426,130,147,290,635,788,177,795,856,691,809,163,231,068,431,704,661,
190,808,848,902,509,482,437,624,261,540,653,995,351,409,051,809,410,095,577,
431,888,488,636,659,288,755,030,870,477,335,775,172,945,709,200,946,294,902,
534,514,210,542,692,387,662,753,229,076,911,883,019,819,928,475,153,776,204,
122,366,588,392,097,726,347,457,956,780,963,493,961,025,376,046,394,886,923,
387,294,487,739,415,880,022,884,827,553,832,442,503,397,712,321,560,930,052,
605,219,576,756,673,102,551,506,204,582,119,799,118,362,367,813,389,091,066,
571,807,217,718,910,946,498,636,030,219,867,618,953,349,410,967,971,678,823,
372,874,613,120,213,052,393,860,141,601,135,008,682,497,851,792,903,532,430,
316,145,028,449,162,364,974,160,746,065,619,452,010,487,371,187,213,807,137,
644,771,565,479,806,291,642,669,584,947,540,986,286,782,183,553,346,990,298,
630,141,518,368,063,509,848,342,485,390,202,895,374,797,036,002,995,572,622,
341,045,172,283,178,397,385,198,468,249,842,117,357,515,250,586,034,528,814,
804,414,536,511,695,299,123,540,085,750,454,497,241,026,043,395,862,370,289,
739,120,965,776,938,363,281,061,007,919,053,087,095,352,329,130,022,255,922,
043,615,954,982,692,910,286,490,046,168,212,326,189,891,896,306,829,954,227,
384,671,020,901,219,797,139,814,565,328,396,094,443,645,889,453,858,880,751,
464,232,397,674,627,397,651,869,387,214,248,204,720,256,995,991,096,147,313,
767,968,723,656,091,067,630,422,272,379,663,054,977,339,921,184,490,208,180,
878,279,830,893,076,613,308,290,847,202,371,151,466,288,314,705,599,216,365,
854,202,124,181,749,349,169,028,365,785,983,272,835,016,985,690,680,691,684,
033,204,911,656,507,014,249,791,317,892,697,684,505,727,196,096,413,266,292,
823,637,642,460,415,154,346,057,201,610,578,002,449,491,557,968,660,342,792,
779,401,877,592,972,216,611,908,174,472,496,555,061,898,650,663,439,985,964,
272,109,045,808,830,602,160,006,988,516,492,829,515,496,980,385,230,877,364,
828,859,491,050,135,794,710,628,124,741,380,393,043,312,918,587,717,333,154,
296,961,734,233,047,751,374,898,160,062,620,965,268,841,297,242,288,454,151,
520,641,540,870,927,671,052,787,347,982,587,902,661,960,290,957,973,227,076,
631,902,383,619,137,444,838,527,478,452,108,088,324,283,873,933,442,232,600,
850,632,188,244,183,517,668,299,777,922,582,828,060,526,928,784,313,309,787,
449,979,124,634,866,556,256,933,916,517,473,856,001,512,464,224,173,157,951,
636,764,617,516,360,338,026,274,433,666,154,410,761,545,223,957,075,704,239,
828,915,069,862,365,004,110,416,805,914,531,750,514,790,344,455,384,918,010,
871,935,014,327,277,980,586,814,447,546,822,778,915,822,740,619,721,574,453,
271,116,568,128,713,166,000,789,242,197,986,956,599,721,727,146,279,582,744,
814,486,208,214,152,003,231,596,960,081,789,470,843,768,610,919,845,677,298,
203,522,086,798,466,642,722,371,674,184,621,714,448,536,425,625,255,260,143,
236,398,188,103,714,092,430,209,615,289,705,340,394,887,894,478,178,237,081,
846,384,775,635,510,486,181,336,348,088,138,436,046,386,354,432,765,105,880,
554,081,659,749,667,731,309,610,354,900,351,802,904,975,492,285,438,677,423,
539,524,284,978,823,805,825,199,201,409,493,444,447,372,065,137,761,674,991,
745,390,818,930,629,510,268,051,414,650,842,078,416,137,880,106,146,951,790,
083,598,053,111,506,348,309,173,561,430,386,720,959,381,647,376,790,776,473,
049,471,934,892,558,735,523,264,891,013,076,998,627,003,635,660,352,925,148,
120,539,314,349,025,068,590,025,310,040,895,893,978,467,907,605,570,810,465,
246,337,786,612,211,996,566,764,242,605,645,066,245,382,002,054,937,808,750,
021,221,109,171,222,036,869,151,026,124,226,869,642,743,186,552,286,082,832,
861,396,557,194,025,829,760,355,592,221,979,268,295,388,161,592,622,374,992,
137,205,704,613,524,904,426,829,292,190,115,389,087,942,667,858,807,601,816,
644,706,882,472,183,713,350,985,079,133,692,878,140,467,372,205,785,792,472,
545,948,738,697,387,976,057,912,199,191,526,666,189,949,710,849,492,917,612,
130,547,066,338,773,605,525,762,460,084,304,289,498,126,513,440,612,172,691,
982,845,982,313,524,969,293,723,378,370,126,391,415,491,523,315,858,890,584,
668,454,526,086,913,475,366,587,977,795,149,857,760,087,668,311,893,585,197,
125,526,175,110,254,625,550,924,748,581,674,850,188,321,948,413,737,226,507,
640,989,662,666,340,991,184,177,908,143,764,380,549,877,798,062,278,702,372,
415,519,413,081,356,277,468,215,595,882,403,736,421,375,156,297,442,507,591,
462,565,480,801,948,830,062,572,248,405,972,809,741,367,242,925,015,479,697,
740,894,252,378,835,235,452,702,279,937,617,795,414,312,110,082,755,370,418,
148,845,451,971,671,182,037,711,035,495,751,094,233,863,704,082,297,950,144,
219,754,460,675,580,039,207,226,976,422,621,285,956,512,035,595,638,565,016,
676,864,023,232,644,746,077,093,306,349,394,636,361,483,420,400,701,640,260,
261,012,712,093,095,375,654,332,221,191,148,971,845,409,409,506,940,027,112,
250,927,025,041,165,052,581,640,012,802,749,740,454,871,786,816,350,302,146,
152,692,085,568,328,211,298,902,221,398,260,088,594,297,114,416,952,998,897,
577,609,092,335,100,355,628,906,520,042,724,229,857,334,912,345,671,087,342,
590,137,683,072,665,290,843,800,691,796,698,215,730,216,691,837,161,877,830,
613,105,894,344,910,698,971,271,957,887,889,808,197,621,235,945,529,985,164,
776,887,561,181,103,606,567,027,500,302,504,777,362,136,301,147,279,001,546,
868,648,842,818,681,686,114,109,883,465,790,592,941,591,790,229,670,612,825,
763,137,767,645,629,028,267,826,459,358,914,235,380,258,745,054,297,721,328,
669,040,498,018,397,170,063,086,399,678,863,309,063,272,826,889,386,320,741,
920,139,141,137,258,502,049,906,099,122,925,943,490,570,925,389,981,165,612,
256,547,691,039,164,312,197,065,094,027,019,669,232,388,198,143,946,257,840,
334,963,554,600,998,200,334,538,235,731,073,466,537,090,918,168,993,352,902,
103,636,630,304,873,346,509,532,560,749,860,878,862,529,844,367,554,731,827,
131,300,403,605,567,567,614,406,571,193,840,843,026,622,473,159,465,409,875,
517,010,429,270,654,511,617,456,904,081,678,565,874,866,073,346,529,252,007,
660,097,123,203,007,065,840,402,054,770,109,985,175,004,402,944,242,660,495,
725,627,641,188,703,792,324,242,257,858,469,305,538,755,348,131,404,362,021,
919,505,686,135,840,902,646,911,263,578,695,044,462,586,492,764,336,403,409,
784,127,076,362,171,029,597,881,488,206,247,705,904,448,270,012,340,691,869,
793,255,015,690,883,819,609,986,258,468,719,271,312,686,094,635,897,823,086,
714,766,583,755,451,827,754,191,467,764,815,157,091,899,172,102,101,241,368,
329,023,467,239,288,000,571,524,812,303,197,250,928,387,638,701,122,404,460,
257,231,254,315,952,552,571,851,882,246,970,562,771,569,530,846,198,387,150,
659,472,757,627,974,283,461,408,434,449,885,180,293,434,659,522,546,257,688,
449,253,598,350,660,214,748,194,588,431,282,586,390,263,652,328,988,088,545,
245,079,207,907,834,747,825,790,610,117,494,421,118,355,945,932,422,126,000,
897,672,666,877,916,465,232,727,311,717,929,140,513,563,436,924,977,414,870,
916,641,540,984,424,225,192,372,412,296,908,687,155,331,075,945,857,706,487,
811,626,706,375,307,078,620,793,087,359,589,855,505,254,209,927,335,620,197,
192,909,384,940,080,248,826,728,127,086,794,517,196,497,440,417,814,054,281,
759,401,838,918,893,743,101,948,202,411,877,559,963,218,032,073,627,608,517,
176,338,035,459,291,308,510,781,862,898,743,158,250,577,446,744,480,567,961,
555,727,706,758,484,828,541,288,378,073,122,951,090,119,842,103,990,329,982,
117,572,340,455,883,919,537,381,581,768,743,629,119,868,675,430,727,337,317,
120,170,218,286,694,363,720,731,843,763,651,837,296,010,618,633,448,134,512,
488,164,560,080,731,125,602,348,361,048,713,499,089,329,634,256,159,446,460,
984,451,538,984,689,934,495,352,957,886,122,964,495,440,052,553,503,427,727,
123,751,608,491,298,293,843,153,670,510,458,121,743,093,246,584,292,169,705,
440,171,663,823,903,701,114,687,688,639,123,562,272,298,998,640,584,847,625,
895,263,313,954,592,551,147,527,892,182,163,994,199,325,156,731,371,432,167,
944,655,912,151,204,639,389,578,642,486,263,025,245,395,849,163,926,379,637,
875,289,256,321,872,124,072,649,451,762,610,306,872,986,894,487,466,132,400,
745,245,685,299,578,613,463,427,196,508,772,167,845,838,161,819,509,902,158,
420,093,095,098,030,580,552,350,661,968,033,555,343,585,813,571,282,826,847,
625,813,979,444,200,834,282,989,240,517,294,042,969,782,644,550,762,947,220,
425,177,868,490,520,304,103,457,002,735,699,812,152,920,363,153,068,492,046,
261,818,978,594,171,444,278,720,269,741,570,895,091,398,193,900,283,420,800,
949,087,109,183,509,840,890,197,872,923,384,207,009,534,616,755,631,474,156,
254,139,459,494,478,642,220,414,428,767,925,127,379,987,210,246,251,929,969,
783,292,348,946,421,492,774,443,387,190,935,756,702,453,218,909,574,985,656,
954,812,073,520,695,876,167,578,296,761,454,113,977,410,216,251,737,385,082,
549,108,947,343,891,635,548,733,281,236,095,690,351,425,136,612,032,908,061,
656,993,106,849,161,807,371,149,223,098,793,495,118,910,639,172,446,448,666,
632,557,861,619,338,832,043,338,158,560,694,114,119,001,074,944,617,029,132,
780,972,111,742,786,757,603,866,455,090,714,727,922,072,633,770,507,156,815,
476,909,751,535,695,833,775,533,575,236,310,128,140,101,662,901,284,854,392,
897,343,392,074,754,715,728,923,834,380,027,609,258,404,826,641,756,610,910,
087,286,220,766,363,316,862,107,992,291,256,052,549,193,633,329,339,438,288,
061,400,929,373,043,401,984,528,336,289,391,354,228,646,958,861,109,049,477,
528,513,757,735,774,190,910,009,153,335,487,237,659,705,376,621,819,336,208,
713,823,060,779,257,915,650,005,441,066,138,892,716,256,841,627,143,522,697,
121,294,452,833,461,246,535,043,316,666,785,260,390,356,752,348,955,731,537,
584,014,062,418,982,584,999,678,870,131,315,799,737,229,950,650,726,033,082,
512,930,808,518,675,859,326,851,134,103,446,312,383,757,415,822,164,972,328,
663,630,173,294,347,820,648,014,054,253,768,671,470,448,944,517,796,185,553,
653,122,682,517,095,612,039,420,977,189,541,610,791,979,413,471,934,539,848,
816,122,179,367,068,025,559,354,327,311,930,039,563,396,826,911,122,486,621,
001,902,039,287,783,918,656,966,450,477,537,006,988,766,111,110,576,343,548,
613,005,372,331,346,027,941,450,839,980,841,843,326,642,222,684,559,401,072,
769,176,664,625,893,622,102,858,429,899,981,298,709,349,651,563,002,411,428,
645,137,034,542,318,864,989,958,750,708,399,302,066,708,562,460,118,466,990,
576,367,696,545,117,560,909,668,756,066,088,885,054,773,971,731,203,279,793,
951,139,241,032,945,593,022,766,946,054,930,720,233,111,616,781,922,299,679,
675,621,583,804,270,649,498,290,143,585,552,804,021,494,415,782,457,998,358,
685,461,550,803,748,487,374,492,124,827,110,786,699,100,255,986,131,992,641,
330,380,641,555,118,622,555,715,633,306,481,905,827,127,104,792,629,753,867,
406,440,308,667,600,364,062,388,829,020,529,909,116,081,108,438,044,121,861,
939,771,124,685,941,453,194,795,965,355,026,414,180,537,404,125,692,522,212,
292,201,860,340,573,274,126,099,776,981,217,793,212,933,361,350,101,363,127,
527,745,137,007,139,401,085,599,889,378,828,863,674,612,028,134,256,739,587,
604,723,933,340,027,014,239,930,104,430,752,672,573,222,844,573,788,497,159,
867,429,565,178,819,969,660,227,845,878,171,857,557,116,160,707,650,865,831,
192,455,409,434,657,541,413,650,967,019,000,591,075,379,359,236,894,189,059,
875,570,226,632,050,772,076,457,421,607,713,653,791,226,112,384,414,490,249,
258,372,441,821,690,157,276,994,791,412,739,518,448,175,314,701,576,566,608,
858,322,386,226,227,837,528,819,954,499,608,082,036,882,744,705,421,297,449,
451,016,053,514,426,739,360,551,495,722,354,263,174,643,595,623,662,328,949,
269,724,736,020,237,082,668,550,876,546,434,625,768,868,359,528,364,661,041,
975,821,034,753,815,115,132,052,362,075,961,737,884,409,665,980,438,909,449,
570,280,034,160,898,715,848,461,207,905,470,330,988,896,947,313,562,240,562,
549,834,484,065,683,363,897,082,701,496,770,265,406,546,117,680,563,471,210,
892,695,509,205,159,160,828,330,769,128,615,746,268,713,910,339,809,324,669,
567,757,883,340,742,658,832,431,446,045,658,516,860,558,293,546,584,017,413,
914,971,646,985,691,166,280,874,395,090,031,469,931,649,423,404,666,329,169,
810,402,235,629,145,061,036,655,363,894,899,266,090,875,689,296,147,587,084,
267,059,390,274,707,842,948,093,729,470,414,066,918,383,923,384,038,053,137,
991,519,356,286,472,917,891,310,236,230,356,760,420,203,971,875,856,135,017,
211,738,172,187,113,335,875,212,822,430,536,380,367,678,638,148,077,442,248,
771,242,629,526,807,985,568,711,516,617,202,852,744,215,568,431,316,878,825,
641,755,767,252,224,722,389,505,758,578,926,914,626,298,902,788,322,881,710,
700,108,490,582,457,667,760,662,087,641,597,828,466,583,498,919,842,433,801,
931,633,711,259,785,516,645,346,635,313,797,756,047,424,933,551,944,420,861,
447,689,698,868,369,884,736,467,900,859,939,127,000,175,153,603,270,930,249,
508,130,218,147,899,333,332,508,937,763,347,615,646,776,797,221,833,929,689,
002,445,995,776,572,799,857,432,009,445,440,492,273,945,284,387,354,852,714,
348,924,601,722,189,600,013,489,585,762,086,759,667,008,481,008,371,993,658,
418,025,613,894,192,680,005,060,126,159,325,726,865,530,816,915,175,297,108,
056,324,178,046,918,652,624,355,491,728,278,354,474,299,315,944,501,188,675,
269,076,081,458,343,302,298,453,913,381,561,579,921,955,095,351,665,254,520,
911,248,017,704,946,999,855,703,731,723,158,122,486,613,365,985,124,483,463,
752,660,436,751,821,997,412,174,515,198,513,297,527,602,384,395,682,269,630,
211,880,217,607,029,717,894,131,726,084,827,723,496,533,729,260,150,060,721,
500,842,869,656,548,425,521,863,934,978,244,743,364,884,752,382,480,548,342,
270,139,527,307,739,353,028,624,256,377,649,069,606,303,189,765,649,200,823,
742,265,741,490,428,023,594,264,498,893,526,540,818,519,774,844,327,681,341,
957,480,287,132,480,785,018,542,941,611,834,703,223,609,422,136,307,746,336,
890,258,165,006,263,945,217,558,100,191,291,101,582,085,933,836,600,715,775,
827,473,092,440,922,845,569,654,374,763,449,838,907,678,109,827,063,029,118,
303,248,929,740,660,306,563,399,866,177,703,556,617,149,733,418,761,220,062,
379,865,927,425,699,041,387,200,005,043,594,690,338,953,766,541,207,747,033,
008,859,080,326,120,995,729,663,232,934,113,135,567,406,612,803,373,545,432,
502,323,433,783,648,551,815,424,211,644,654,485,265,311,542,431,324,423,058,
592,520,791,140,730,667,469,880,788,062,880,493,428,444,737,765,101,601,579,
350,526,678,633,471,880,495,743,990,823,272,906,445,880,796,829,400,527,342,
649,548,476,048,074,352,543,644,202,895,323,043,563,084,264,868,687,827,476,
898,107,266,932,041,652,904,302,614,510,115,938,660,524,545,341,390,959,914,
962,049,439,525,771,638,623,243,670,633,572,561,863,849,013,011,377,566,186,
236,798,699,340,075,816,844,533,075,482,922,494,550,815,800,231,718,679,931,
367,782,823,917,930,940,468,670,843,363,604,324,012,432,325,158,644,530,980,
832,875,187,503,319,138,445,298,135,861,531,894,727,888,587,556,043,189,003,
264,441,885,071,881,935,702,016,064,669,108,143,859,178,627,412,442,525,661,
944,029,988,744,084,988,545,253,983,517,013,214,098,920,948,221,463,077,401,
668,914,306,164,457,578,088,643,976,593,019,394,645,489,752,227,460,514,675,
854,937,117,676,358,118,609,884,550,469,926,104,281,410,203,946,154,519,992,
601,690,194,656,938,645,681,592,692,431,854,680,147,248,823,209,554,231,015,
497,282,978,581,403,227,340,484,288,411,400,801,079,157,084,070,512,374,557,
075,718,703,466,753,182,736,013,497,502,968,619,407,317,713,694,749,493,008,
126,261,385,474,557,259,386,375,115,852,312,995,348,878,051,676,547,212,812,
068,227,395,680,171,627,325,551,611,637,050,469,952,718,238,158,859,985,891,
016,802,844,036,564,059,422,740,969,306,783,942,169,631,231,881,542,377,280,
912,195,257,817,652,180,597,216,814,200,561,002,090,290,703,841,090,793,008,
854,200,365,008,643,643,278,670,820,415,611,858,415,644,905,060,882,985,928,
128,632,427,666,092,254,195,783,321,455,585,985,855,846,219,399,799,963,937,
417,685,605,847,083,009,059,128,046,391,848,174,193,373,375,266,699,542,921,
247,873,425,225,053,570,767,097,590,704,688,493,264,009,065,504,942,954,078,
170,545,453,491,266,094,849,484,718,136,473,704,544,930,031,121,751,409,689,
418,841,215,121,914,789,755,662,035,483,822,666,181,527,838,106,827,662,471,
996,022,406,132,291,390,107,569,330,103,365,860,336,211,542,900,578,612,876,
068,993,284,855,331,736,788,355,015,046,266,133,760,391,886,977,637,610,150,
304,611,907,555,013,814,401,974,083,145,355,962,622,102,868,832,661,945,057,
079,654,981,208,416,636,231,523,801,400,441,890,412,478,326,245,196,260,522,
686,232,017,383,237,785,820,983,802,109,582,930,219,162,811,535,236,956,178,
730,791,377,026,864,747,045,323,779,246,319,211,757,425,347,636,431,667,818,
936,158,154,272,617,925,248,787,058,591,709,746,067,379,693,828,614,284,170,
702,648,176,538,873,698,026,536,119,405,361,856,810,072,445,626,992,446,546,
096,371,734,478,014,107,358,786,868,515,027,700,009,111,692,230,296,278,606,
505,053,548,109,020,240,252,292,432,641,833,671,351,826,998,953,839,884,087,
990,977,089,514,544,451,572,133,574,327,127,390,044,703,680,376,068,970,557,
757,236,577,327,248,134,921,123,426,347,699,730,250,920,187,429,231,885,560,
370,568,092,194,952,116,123,509,206,824,247,532,254,373,636,494,771,165,715,
933,853,402,408,119,139,253,875,356,522,092,313,050,714,558,879,606,606,873,
908,184,136,751,214,075,458,548,945,919,150,690,077,428,684,178,706,786,042,
956,690,396,054,337,302,236,333,104,277,541,946,454,238,512,561,906,845,179,
982,645,169,368,860,233,203,191,191,935,500,585,094,239,708,940,723,279,493,
462,624,421,439,045,337,722,842,096,272,621,570,222,480,078,607,564,070,291,
112,197,757,923,088,716,038,446,164,250,397,125,372,694,936,420,916,362,906,
344,608,578,611,019,449,234,378,114,206,979,631,806,223,992,143,919,316,430,
264,374,807,075,348,680,454,961,064,056,499,554,969,275,958,825,339,009,892,
351,571,371,300,114,072,602,225,536,084,993,749,302,573,204,693,969,612,357,
169,661,428,303,728,570,272,091,098,752,288,255,362,060,883,090,634,773,309,
617,146,812,190,860,105,735,306,560,302,640,986,564,758,948,762,522,837,555,
851,677,106,763,690,680,434,931,051,569,849,714,234,362,099,220,731,642,457,
930,165,002,257,272,242,747,705,647,520,971,849,504,614,777,902,740,030,351,
125,371,629,316,603,011,594,504,458,120,134,544,201,762,332,794,525,998,206,
065,741,561,714,432,399,520,599,684,174,793,691,290,337,665,837,264,391,447,
310,037,913,257,571,804,829,440,246,717,650,876,694,055,518,720,517,512,863,
721,469,382,605,133,229,053,589,443,855,180,666,910,229,864,557,246,607,822,
166,070,718,932,342,989,947,436,389,465,616,264,715,778,323,016,503,002,953,
613,136,614,749,977,388,518,135,463,449,895,378,276,860,861,621,609,415,218,
754,444,565,285,933,582,475,390,867,475,602,261,800,215,407,642,163,733,522,
343,332,155,120,306,400,378,279,336,328,273,876,525,001,782,829,295,184,453,
604,326,544,799,808,869,641,903,755,707,562,840,536,314,982,806,871,665,735,
323,977,456,615,337,620,277,204,911,141,373,245,226,996,844,853,247,825,099,
874,096,933,563,143,172,609,515,074,516,128,917,761,355,583,237,190,577,148,
165,712,444,801,237,518,207,839,672,912,789,674,587,190,150,211,828,288,928,
834,435,921,370,026,959,427,988,762,301,627,618,037,814,221,078,113,021,121,
801,346,126,094,889,946,863,420,545,405,233,438,288,076,130,556,090,955,359,
280,204,794,858,927,997,107,958,084,233,683,825,645,822,491,525,285,005,131,
963,847,697,300,426,181,005,321,274,285,096,512,331,234,469,903,187,563,902,
311,940,953,400,921,027,573,860,906,669,948,990,415,295,136,473,229,142,489,
511,563,170,167,781,689,045,309,239,528,756,256,579,065,823,348,668,676,844,
835,129,632,767,761,864,914,010,365,424,167,633,288,341,220,905,719,545,919,
122,778,994,878,362,773,850,970,214,518,215,346,577,239,739,344,073,377,100,
837,795,866,162,867,355,145,177,115,656,691,729,382,134,177,847,801,849,167,
898,410,314,799,866,237,282,503,430,297,785,797,328,185,879,673,562,473,375,
954,309,754,452,255,934,781,014,003,410,176,394,535,927,541,972,413,809,386,
174,118,905,562,218,686,438,852,468,240,114,751,611,582,537,925,830,447,611,
316,168,784,248,969,610,111,455,395,301,128,916,324,760,929,021,475,910,524,
734,726,872,980,340,871,110,251,851,812,848,771,222,610,731,582,962,274,950,
344,334,350,934,723,439,771,673,984,953,184,578,646,361,490,030,165,423,077,
510,528,443,879,684,220,368,233,725,081,771,223,288,200,408,488,115,062,597,
913,942,379,711,717,272,484,031,917,202,722,488,231,688,591,307,774,402,694,
038,197,235,107,085,487,633,022,626,293,579,688,587,019,646,261,284,513,383,
779,606,006,807,277,163,169,133,905,106,773,768,581,131,039,312,145,926,910,
352,033,125,580,766,072,760,617,616,784,501,815,932,389,089,510,389,615,868,
955,782,135,427,206,502,009,159,444,787,605,854,257,598,956,760,558,387,077,
318,778,704,925,970,895,974,793,870,219,060,721,642,204,993,420,706,978,636,
647,478,646,366,606,253,189,466,767,110,317,732,122,471,699,979,798,626,724,
586,744,238,743,603,039,499,764,693,171,153,451,209,637,111,262,731,861,380,
675,952,793,799,802,721,715,603,721,487,668,222,240,166,305,202,294,310,671,
440,640,820,101,138,793,185,757,756,071,479,437,158,772,693,909,125,768,195,
410,819,653,925,190,967,495,078,527,379,907,873,913,129,345,732,096,033,290,
519,480,723,431,334,164,081,226,826,243,423,314,689,641,873,275,871,970,475,
469,326,577,875,268,010,262,919,310,874,003,193,453,100,110,636,852,673,973,
950,467,099,219,961,574,699,940,001,515,160,568,997,707,665,651,624,250,267,
764,543,994,222,094,936,892,671,698,687,671,384,592,108,552,595,584,716,250,
902,474,515,760,942,922,499,941,250,443,446,624,444,033,888,731,655,946,165,
590,852,770,490,900,506,238,801,392,153,790,799,445,480,275,218,128,285,430,
318,985,310,041,374,789,973,420,616,463,485,426,639,214,794,139,251,403,287,
633,274,714,308,058,476,092,201,990,010,110,220,729,871,451,866,529,038,303,
836,663,141,993,604,375,060,326,445,399,099,146,549,958,914,533,821,366,636,
076,134,212,760,286,565,201,819,683,373,591,069,954,390,770,407,103,721,020,
713,257,851,972,910,557,046,078,802,848,186,854,653,639,616,419,083,413,705,
520,621,327,315,820,413,122,454,886,760,771,181,768,430,193,938,110,027,639,
628,486,894,089,424,320,954,291,967,090,651,539,822,039,740,140,092,051,802,
917,829,123,590,054,970,505,221,434,175,889,669,914,034,453,972,307,823,038,
024,674,738,950,957,458,397,046,957,821,423,143,382,787,272,864,123,898,023,
790,972,072,211,924,578,913,524,221,773,163,010,742,781,720,992,888,867,079,
725,442,686,820,628,455,170,660,922,081,626,547,708,621,068,084,902,212,243,
906,788,560,008,428,621,776,662,450,229,287,050,028,935,485,924,481,336,282,
560,577,688,379,575,948,039,948,974,868,243,326,253,215,521,535,176,456,934,
361,859,495,315,667,570,763,200,663,939,588,193,626,031,677,346,582,091,377,
623,825,608,107,283,682,111,464,787,093,773,727,166,582,021,126,874,129,605,
192,838,275,470,161,860,061,935,063,197,398,224,340,733,297,417,011,002,084,
636,190,052,215,582,735,970,043,968,297,634,115,721,934,499,265,984,477,690,
049,876,636,348,583,721,586,094,573,776,544,860,882,334,738,344,803,323,711,
446,730,524,191,938,171,714,688,517,745,774,075,534,583,023,617,843,051,871,
096,440,594,829,264,018,636,289,079,454,086,512,021,619,890,046,034,512,047,
298,781,151,259,170,858,612,841,931,485,361,727,606,285,147,403,366,455,014,
142,543,220,313,398,608,587,074,622,049,945,755,709,339,939,375,990,777,477,
566,683,359,818,694,761,676,259,348,563,697,418,037,462,958,056,296,799,841,
640,729,979,370,783,042,614,767,703,559,094,671,975,755,537,466,319,531,933,
063,495,398,568,870,922,571,409,931,388,694,817,941,804,676,585,579,369,348,
001,503,678,621,163,166,805,766,656,204,857,605,033,769,040,030,416,683,597,
127,990,937,093,211,598,157,928,635,787,830,739,761,009,391,872,028,627,692,
631,537,840,221,972,522,608,173,596,590,107,659,196,428,605,225,583,731,150,
898,206,266,568,671,339,742,961,125,504,271,432,342,962,178,794,525,902,757,
310,010,197,520,289,902,038,083,498,029,340,984,529,835,340,230,927,817,095,
557,376,162,288,302,207,436,934,937,852,271,680,691,146,733,339,060,191,103,
998,955,726,279,740,959,435,615,573,291,974,632,308,428,413,704,377,560,258,
248,046,986,097,910,754,518,526,803,112,939,426,858,368,536,838,666,317,123,
193,883,606,531,610,301,722,119,594,483,050,501,753,268,758,327,907,279,410,
359,769,087,368,993,699,713,260,156,903,575,182,499,531,481,064,617,914,963,
734,512,498,659,880,351,949,949,706,922,585,763,392,785,287,043,251,243,034,
454,507,225,044,547,972,764,565,109,108,061,207,399,732,636,566,415,407,076,
943,493,575,997,849,813,410,182,330,949,841,118,813,477,784,966,508,313,281,
054,616,531,724,011,817,518,101,295,463,116,156,327,615,245,250,626,824,960,
460,809,723,485,466,469,476,994,051,183,278,797,530,556,663,026,093,013,224,
191,365,672,217,783,637,183,374,551,576,263,738,632,982,392,526,010,393,573,
158,245,487,032,107,398,049,243,593,502,582,797,087,579,701,681,782,958,233,
388,475,720,895,786,851,487,648,885,947,396,334,107,925,027,090,161,117,407,
872,721,393,167,217,006,833,434,121,792,898,484,901,603,427,549,160,817,026,
810,827,903,179,526,823,094,526,612,165,649,985,477,930,943,745,952,271,124,
119,778,122,145,399,605,543,024,617,629,249,246,077,036,282,456,559,417,819,
578,089,268,964,065,508,592,582,600,140,437,273,696,981,145,238,837,427,988,
602,865,883,225,966,634,629,474,454,411,706,209,473,244,666,059,760,685,058,
027,528,050,724,079,159,430,201,842,425,244,014,826,234,463,815,570,282,511,
414,843,994,464,760,169,881,634,544,763,126,528,522,829,961,386,215,901,775,
484,955,565,040,176,364,478,556,361,903,821,304,583,525,487,261,272,247,162,
166,859,317,632,316,248,120,259,114,453,993,979,450,676,739,414,232,266,528,
319,412,474,238,952,106,889,501,641,769,884,939,533,556,506,303,249,705,700,
054,917,099,568,805,379,616,297,394,965,854,705,859,826,337,981,169,824,988,
955,023,512,723,074,449,773,885,892,466,389,552,778,406,485,845,963,741,584,
172,726,737,131,551,054,822,475,782,232,577,937,179,238,235,311,456,725,458,
767,931,306,643,752,826,085,747,840,973,960,512,697,430,114,658,392,248,203,
397,536,270,449,038,625,776,259,034,290,656,791,349,245,419,872,402,782,434,
923,120,432,039,096,910,069,746,729,512,037,874,679,858,378,991,840,452,470,
523,806,976,091,571,587,333,476,275,749,624,369,009,255,365,191,409,517,124,
025,368,106,451,016,579,474,486,247,697,781,075,873,077,106,471,199,016,725,
577,454,611,457,415,781,460,341,766,399,584,533,519,189,136,470,239,177,264,
475,883,918,282,483,779,367,849,759,425,276,618,621,299,169,238,799,280,480,
232,688,144,102,116,368,308,983,138,180,929,797,324,327,602,043,930,901,700,
742,031,500,341,842,067,112,554,344,768,456,421,091,870,154,738,897,312,974,
004,984,608,249,672,666,615,786,410,698,354,365,483,928,370,828,441,770,775,
397,400,033,898,103,075,281,195,280,517,004,923,344,680,072,007,719,678,167,
197,994,998,379,909,608,775,603,285,299,830,807,388,604,259,605,230,693,916,
736,209,080,545,604,221,187,207,954,708,689,499,070,016,652,923,701,318,929,
505,603,889,328,941,681,214,028,523,446,733,753,587,018,384,892,349,777,587,
183,047,272,985,079,051,114,031,728,170,544,504,251,873,321,329,823,647,662,
492,839,652,112,245,402,023,138,344,395,681,899,101,432,119,351,883,076,070,
702,593,054,400,736,354,209,526,714,900,708,245,854,013,433,103,285,219,706,
978,502,212,772,218,317,100,700,820,679,301,743,239,784,707,202,008,422,138,
500,442,467,041,649,592,180,163,238,179,304,059,367,893,564,498,926,210,433,
948,475,039,027,192,784,607,303,322,894,921,780,345,333,356,071,769,195,504,
530,053,261,857,953,610,700,121,569,582,733,763,565,252,276,707,235,936,756,
326,254,870,056,922,197,719,092,079,747,158,005,947,006,587,832,825,581,399,
975,787,830,278,123,509,369,065,724,133,630,170,282,985,744,548,097,524,450,
186,769,009,622,808,434,386,409,848,663,601,663,231,802,965,756,357,006,571,
020,025,676,070,540,216,084,512,909,493,834,274,875,164,234,469,265,534,119,
169,466,835,561,470,455,326,952,230,308,765,880,716,262,211,777,821,364,571,
155,388,760,183,716,674,840,315,258,936,869,517,259,175,887,726,312,437,824,
543,089,944,843,778,791,037,281,901,190,706,880,055,047,066,636,373,694,198,
644,619,452,083,282,556,671,599,551,167,645,200,258,008,516,048,878,120,547,
819,077,939,221,143,222,152,829,437,648,573,703,343,628,793,407,515,598,320,
348,741,773,168,585,490,840,810,871,556,757,588,534,865,332,978,445,106,198,
513,627,450,386,473,941,353,363,652,426,725,643,355,087,717,387,821,965,113,
227,523,424,125,791,254,745,628,842,850,170,733,200,686,915,756,808,072,834,
407,642,418,285,182,926,162,344,505,854,878,770,418,978,681,128,729,630,302,
372,031,127,491,402,592,320,465,703,961,160,186,963,934,385,940,579,285,949,
187,729,032,017,262,412,911,452,889,304,994,009,821,402,219,610,241,859,118,
779,753,731,896,909,591,974,274,626,468,727,867,595,919,877,096,273,067,559,
690,835,298,134,209,842,529,696,580,228,108,637,787,772,417,828,532,153,015,
311,883,044,775,687,831,177,663,376,263,271,506,814,407,530,079,097,952,257,
884,842,803,605,219,681,532,003,892,370,355,172,064,378,998,449,661,999,535,
987,078,913,807,681,529,764,755,963,035,509,467,668,151,419,057,405,723,156,
110,237,718,292,239,270,260,201,140,022,304,067,930,242,447,022,671,323,100,
413,954,053,159,602,681,405,801,383,422,492,872,212,557,362,575,822,605,736,
240,496,347,423,661,845,452,250,336,115,443,640,196,781,749,569,814,544,708,
135,984,500,506,900,949,548,491,841,546,773,221,499,499,063,233,497,766,683,
075,769,749,735,984,661,122,838,339,244,178,622,298,912,870,327,836,068,083,
691,540,423,670,718,951,288,359,498,573,340,449,275,924,492,992,301,685,676,
288,080,599,917,117,715,370,500,924,750,438,568,206,890,549,002,374,052,168,
518,910,368,741,963,518,099,889,387,956,379,190,115,191,431,982,520,971,709,
190,704,588,003,873,272,867,744,338,828,386,058,727,522,945,960,096,863,097,
761,368,516,756,429,355,737,410,825,362,710,164,947,055,844,169,542,534,512,
866,437,447,435,514,486,862,297,135,575,426,187,062,668,268,543,089,393,194,
243,275,895,230,347,649,063,472,447,172,034,253,451,946,619,446,467,398,413,
384,538,846,711,062,014,898,621,988,245,178,524,637,479,489,637,531,346,937,
040,469,168,278,068,275,490,925,797,869,296,012,709,991,154,351,786,707,287,
664,225,640,590,570,631,948,365,255,163,601,371,368,238,018,643,457,483,759,
940,304,384,182,124,603,381,521,149,121,236,888,072,452,768,627,918,459,732,
435,115,980,586,867,608,193,519,050,415,436,561,724,465,572,366,906,176,028,
250,544,431,805,311,998,370,410,459,314,732,905,746,004,819,309,049,923,102,
412,266,108,831,385,092,206,489,490,447,076,033,220,994,920,171,493,165,049,
987,742,652,456,854,545,538,108,200,176,521,160,615,846,926,673,236,656,827,
395,093,906,823,736,554,360,744,316,000,957,519,546,447,065,643,857,591,925,
303,265,051,105,758,651,371,055,435,498,967,550,346,442,144,825,089,417,292,
891,399,371,878,017,356,085,974,879,067,344,751,027,121,175,378,372,427,824,
479,025,426,546,673,079,496,525,886,520,706,731,939,542,745,322,909,930,956,
199,241,243,894,215,318,907,898,889,394,712,029,082,965,409,084,393,257,649,
325,198,666,136,328,008,494,626,128,899,598,824,960,885,481,012,184,180,056,
416,203,641,127,185,589,898,077,051,729,278,185,380,835,951,434,266,140,638,
828,852,400,511,349,355,339,598,878,339,636,229,004,777,664,069,675,318,097,
541,266,154,470,082,669,063,894,960,857,496,019,083,650,252,915,934,378,076,
220,350,099,503,612,542,299,459,144,375,607,076,129,615,757,430,084,388,715,
706,792,038,123,922,768,103,586,370,801,238,856,721,939,300,420,163,644,780,
815,966,455,383,769,392,299,339,367,491,404,871,672,181,020,510,854,099,308,
460,730,759,279,490,196,843,436,401,474,920,063,057,634,796,082,480,653,399,
809,364,324,970,272,793,236,560,020,759,140,215,570,600,862,862,747,834,435,
393,445,575,444,799,491,583,719,678,727,536,851,231,621,608,606,365,591,243,
421,373,260,290,723,278,615,468,858,905,041,012,392,487,705,063,777,837,841,
397,994,757,782,730,063,519,497,143,083,108,853,778,102,894,261,409,693,297,
053,128,260,454,217,882,803,370,624,369,998,678,494,698,339,596,593,515,066,
304,996,712,661,836,630,941,496,079,063,960,829,060,879,137,236,064,873,355,
763,947,474,439,915,532,858,056,899,031,415,448,452,858,487,290,237,578,879,
395,541,689,393,732,874,020,405,941,299,435,176,428,107,732,370,773,283,266,
356,111,015,901,584,542,330,398,727,950,165,588,080,436,054,829,835,239,769,
887,276,857,705,980,206,948,520,150,596,210,246,266,922,282,512,583,736,310,
569,939,542,672,369,906,415,434,948,063,314,567,416,698,324,360,993,391,017,
785,069,311,133,505,712,457,144,145,381,007,675,846,995,739,985,878,095,232,
168,862,365,181,528,333,372,676,482,107,239,464,431,254,809,944,170,694,053,
542,320,781,835,445,679,974,885,704,397,527,786,645,791,057,723,908,992,670,
929,856,093,666,100,576,180,362,311,111,893,048,342,477,239,065,967,608,970,
060,282,474,019,459,305,133,598,017,026,777,998,796,517,381,988,356,448,615,
432,207,143,341,196,713,721,018,017,401,044,768,498,465,605,832,027,575,719,
269,983,648,926,827,816,004,709,535,335,453,423,465,593,712,796,968,649,539,
964,729,755,350,736,728,208,861,660,451,677,338,732,264,068,270,202,067,491,
588,174,550,707,488,232,852,469,893,754,732,508,077,200,245,844,506,631,660,
075,424,002,794,108,907,828,943,401,183,331,685,590,068,790,051,494,241,314,
185,477,155,760,578,734,074,078,207,720,927,659,749,395,431,827,482,091,444,
046,997,258,394,081,030,114,438,030,994,722,324,117,918,213,688,553,404,827,
355,707,009,302,515,022,378,526,221,613,446,799,119,655,169,600,669,929,033,
277,782,357,777,519,014,927,943,356,853,508,195,252,699,632,089,587,966,882,
712,047,010,225,233,178,240,122,527,305,836,623,650,392,516,764,247,826,399,
163,901,200,284,084,842,511,939,467,641,763,585,200,565,091,839,239,451,274,
775,914,935,611,782,944,029,609,414,564,509,310,677,016,067,084,265,427,252,
312,054,067,549,977,440,014,170,606,796,365,237,858,561,313,111,252,979,414,
090,410,931,919,875,940,184,029,738,431,514,422,498,710,583,511,699,589,356,
045,942,744,602,916,744,920,082,934,061,413,022,491,308,348,499,526,681,717,
125,919,619,213,689,059,551,528,367,697,775,702,637,526,445,310,744,472,932,
557,608,294,707,978,918,682,714,057,936,362,872,774,158,844,550,200,297,381,
463,490,889,804,708,143,574,511,208,589,155,307,736,952,967,305,530,235,818,
262,307,600,980,519,332,081,395,723,571,166,331,296,017,768,566,989,404,777,
212,899,260,143,018,421,485,489,534,783,302,964,100,129,537,376,105,178,974,
391,644,348,434,362,864,174,052,298,335,377,459,831,759,780,914,890,211,428,
190,929,470,939,673,971,787,098,173,854,733,011,652,850,931,233,632,690,015,
267,318,154,296,138,314,821,551,677,510,961,145,384,561,654,323,919,261,485,
223,130,868,376,777,914,229,649,677,123,136,345,568,938,713,553,258,213,574,
052,199,749,689,668,286,998,069,056,387,168,274,057,207,028,948,605,881,758,
954,073,492,181,945,137,631,734,441,595,739,503,170,224,188,019,418,256,118,
822,556,058,299,619,785,571,998,564,687,904,724,540,434,787,165,580,976,007,
071,411,686,102,049,214,410,522,483,000,232,879,300,303,371,202,212,938,379,
512,863,698,536,093,736,239,504,121,225,718,641,269,431,838,162,762,295,621,
100,920,914,951,303,238,379,897,375,049,531,855,110,815,903,692,465,699,682,
368,866,686,191,264,755,950,864,733,899,363,547,646,005,178,338,746,704,933,
323,690,645,292,718,777,429,045,808,689,234,014,004,724,844,327,739,684,551,
508,312,241,114,072,499,775,324,520,244,890,607,900,162,447,964,783,859,082,
100,692,185,326,394,963,347,710,720,642,600,605,631,455,913,436,511,965,863,
619,892,202,953,764,436,594,893,677,919,569,777,825,236,835,810,981,789,372,
257,953,560,305,602,167,982,719,696,398,280,023,530,263,182,726,745,489,029,
125,169,820,820,927,668,326,135,043,319,249,223,577,536,486,252,754,228,597,
058,874,454,770,523,952,909,940,113,023,630,557,964,675,732,735,981,326,430,
184,863,789,881,859,095,768,759,398,262,871,905,439,642,163,262,521,327,128,
583,314,724,115,308,492,209,949,335,171,928,890,242,661,354,862,822,734,859,
132,593,249,738,320,527,140,892,497,875,216,522,060,541,322,660,093,013,299,
810,256,201,079,878,656,489,745,647,285,582,161,904,048,570,785,628,357,157,
451,446,724,464,106,752,742,238,437,786,826,850,182,953,608,958,374,720,640,
694,349,448,193,394,573,811,711,882,333,621,081,160,230,800,779,769,612,324,
515,243,833,895,637,226,293,155,215,666,952,443,959,728,865,533,478,982,076,
937,619,425,954,431,936,693,937,996,984,270,092,644,503,726,488,528,912,000,
879,185,289,234,602,088,248,688,969,196,131,501,189,150,260,844,455,948,909,
769,990,250,388,704,488,729,815,364,176,523,578,220,860,740,174,053,440,475,
475,317,306,440,021,896,158,303,054,657,848,950,824,756,423,597,144,488,711,
526,084,978,674,948,791,213,767,119,185,344,139,194,158,081,799,112,072,908,
167,162,599,965,277,788,478,432,060,656,174,320,605,673,104,554,586,737,350,
154,390,220,663,204,378,995,469,799,822,052,894,412,466,405,651,510,173,970,
978,046,126,654,796,405,668,598,610,461,263,605,282,539,991,666,085,466,331,
975,328,526,472,636,892,482,868,871,071,803,713,906,133,377,855,505,695,506,
638,055,693,054,764,710,569,034,772,139,980,756,244,955,922,987,173,375,647,
968,729,199,948,170,366,543,475,281,537,351,892,648,483,526,162,349,502,870,
741,193,382,315,844,479,352,319,329,041,807,326,174,294,280,697,039,828,973,
343,221,157,706,508,488,711,317,568,071,035,614,151,286,356,477,920,810,432,
275,501,241,426,135,576,792,505,686,506,894,689,888,735,011,677,231,901,501,
355,045,198,849,236,384,534,327,370,611,485,765,351,164,089,233,410,294,892,
029,479,807,902,678,023,328,432,252,063,751,870,899,301,145,489,022,575,161,
990,853,799,639,577,267,006,970,750,992,532,296,841,321,415,318,785,995,013,
892,448,703,725,777,940,652,911,245,632,832,503,014,038,401,013,162,563,102,
159,669,408,211,845,067,600,162,278,604,997,987,345,950,165,651,037,503,054,
371,965,037,020,601,435,403,532,430,728,377,805,567,821,313,205,038,097,782,
160,319,740,873,846,244,288,854,002,216,120,528,918,142,446,027,280,217,758,
968,038,310,715,987,264,001,056,334,500,051,938,898,203,379,987,215,964,993,
883,186,349,235,104,079,882,876,880,169,979,600,915,097,050,051,767,985,798,
003,946,864,592,907,947,107,191,107,929,074,712,238,405,906,054,671,679,157,
899,778,370,081,456,714,147,841,345,692,551,379,112,511,268,633,651,192,719,
237,381,908,687,515,622,596,371,259,965,372,690,947,393,087,732,560,342,903,
452,914,863,163,322,671,987,158,387,719,416,495,647,232,745,425,125,782,233,
613,588,764,782,021,365,559,759,389,538,951,527,829,806,540,192,967,855,036,
870,991,793,273,913,405,087,098,969,954,382,630,827,766,718,863,855,655,064,
243,887,854,524,933,580,663,207,422,723,588,167,619,645,599,527,148,566,509,
923,717,556,428,665,202,035,198,248,221,160,017,159,924,425,343,670,612,851,
425,901,134,842,908,311,730,033,878,093,739,562,203,313,901,631,508,806,940,
488,023,853,430,780,493,476,464,697,532,683,662,013,967,281,767,174,484,740,
066,263,210,621,819,820,034,221,013,392,387,575,604,517,858,013,474,487,383,
675,431,379,614,972,562,848,660,729,335,871,907,870,251,991,740,944,042,558,
400,466,519,507,610,495,503,312,298,936,838,470,707,822,298,935,997,682,353,
458,364,409,204,167,864,357,798,467,078,589,889,911,174,307,719,691,436,192,
964,265,050,759,412,512,113,931,321,304,045,488,527,840,120,253,302,106,868,
552,112,222,899,162,895,887,188,643,505,897,438,736,038,684,167,665,587,482,
303,761,985,871,931,372,610,809,388,724,949,018,332,066,022,013,968,626,007,
871,812,280,930,600,975,859,429,699,402,467,539,178,366,953,295,029,067,772,
425,488,541,661,191,070,914,129,077,495,090,439,686,986,121,509,606,382,566,
746,039,567,876,495,974,167,918,299,501,267,346,330,929,847,443,170,871,630,
034,760,782,150,021,301,333,691,834,385,856,045,474,704,693,875,611,963,625,
578,953,919,752,032,801,212,163,595,181,848,649,823,624,020,853,059,391,479,
327,393,099,407,330,155,957,050,883,700,278,543,018,792,938,243,768,897,637,
516,621,897,154,731,798,338,836,903,212,942,469,915,539,322,885,535,217,269,
494,101,055,537,897,729,249,957,490,855,056,896,107,645,896,322,394,553,690,
161,105,803,977,877,211,840,293,402,211,632,901,310,428,495,392,594,038,471,
140,631,134,412,289,870,562,598,003,208,045,820,718,605,975,218,109,629,526,
731,106,697,260,529,043,798,272,291,912,482,363,395,401,448,841,185,632,255,
941,564,828,904,608,493,610,800,122,995,669,515,653,502,002,352,572,976,475,
606,005,367,507,316,212,446,963,448,050,939,139,445,949,941,816,868,147,179,
164,168,692,803,995,290,282,403,964,879,821,741,533,499,148,107,898,836,072,
053,940,363,376,882,327,552,617,205,700,309,443,608,233,508,266,135,785,276,
615,652,099,322,591,701,010,441,235,167,269,458,969,494,830,436,637,888,239,
284,857,490,041,338,183,680,427,651,881,818,279,552,994,500,954,406,550,421,
690,536,431,818,755,886,902,147,671,023,070,474,210,823,265,220,013,630,807,
047,472,191,867,604,714,583,640,512,153,694,274,111,478,034,147,795,388,435,
897,704,145,729,009,280,197,752,901,395,366,282,511,632,699,882,462,876,510,
968,880,257,274,794,642,528,405,186,593,698,222,685,179,906,709,061,591,887,
292,932,095,100,789,030,679,094,849,687,799,377,022,074,053,950,026,271,356,
194,769,036,944,494,844,904,496,320,131,465,235,773,278,563,766,972,383,563,
708,622,728,839,172,689,372,727,204,132,128,185,861,948,992,762,264,036,373,
432,638,511,009,680,887,162,423,715,429,524,585,733,518,606,867,317,230,508,
520,725,978,237,504,973,493,443,810,641,497,436,276,681,322,034,822,354,337,
688,817,246,529,207,408,386,534,780,163,911,860,201,332,069,512,291,092,492,
153,167,154,427,876,119,308,114,320,194,605,399,217,806,658,435,392,132,736,
455,293,565,231,519,812,775,789,910,604,205,460,415,967,616,612,502,712,811,
779,144,999,016,450,766,618,545,933,924,858,407,611,688,973,726,692,484,674,
716,561,773,786,753,120,302,891,926,230,903,418,322,881,763,052,251,906,310,
148,229,782,532,501,911,712,817,232,666,605,686,862,892,172,929,096,473,978,
372,356,671,376,895,498,649,498,693,827,808,767,697,624,809,535,228,054,734,
306,829,364,495,955,673,449,851,147,676,002,931,685,702,435,999,729,164,212,
068,146,967,855,513,684,473,056,392,020,179,036,972,870,079,776,499,715,370,
372,207,970,942,838,626,820,086,814,928,457,466,389,426,287,818,699,624,344,
593,401,210,207,347,725,339,413,369,009,703,748,749,870,192,648,227,235,716,
438,436,130,966,499,391,323,451,520,075,869,430,758,055,972,738,360,883,497,
349,166,667,330,103,122,459,979,023,817,731,521,446,235,146,590,758,651,905,
959,495,062,109,969,771,218,005,657,674,984,410,174,357,072,345,457,782,290,
163,554,320,335,920,072,071,337,464,540,314,544,139,702,099,036,807,257,662,
254,483,708,554,202,225,488,632,373,354,111,497,583,179,629,151,256,357,597,
077,147,840,227,395,482,374,726,031,029,520,462,756,370,202,099,712,248,082,
033,932,284,932,315,140,217,920,885,377,194,149,090,959,010,826,536,305,409,
153,707,059,553,992,281,783,820,578,134,090,109,776,985,652,743,972,172,847,
953,412,080,600,935,886,872,929,929,449,037,747,214,775,349,141,782,320,139,
017,571,533,056,632,886,129,143,289,974,591,875,115,862,948,171,016,926,146,
184,290,553,292,076,605,813,988,994,116,876,476,883,583,226,467,671,348,889,
587,953,746,054,535,534,819,398,182,449,063,493,033,542,163,197,222,555,813,
470,788,728,722,279,381,890,137,527,761,905,467,388,100,715,872,831,024,878,
426,564,298,469,006,680,929,749,097,591,568,716,205,466,950,210,618,366,557,
291,925,080,954,905,538,724,159,406,767,660,372,937,617,369,327,486,395,517,
681,665,041,419,411,386,777,578,215,602,963,155,375,980,312,214,043,066,069,
604,419,743,022,914,327,919,476,245,322,544,870,664,050,189,734,898,068,386,
990,772,288,172,006,124,494,522,893,232,506,433,422,223,272,213,294,721,242,
681,939,015,216,512,791,356,546,439,941,643,307,102,068,883,069,279,577,293,
555,419,876,290,385,065,148,232,649,256,449,107,039,522,355,340,480,258,838,
565,363,392,737,009,231,100,391,485,716,113,195,289,807,189,417,221,729,125,
293,747,365,896,634,804,104,510,962,823,136,489,867,844,921,536,318,571,649,
162,977,760,574,613,868,436,954,489,845,331,800,860,529,700,507,896,694,249,
940,101,411,753,428,586,949,978,725,010,166,096,902,695,314,688,516,380,629,
939,519,494,195,192,043,647,969,219,812,256,198,572,045,093,613,332,376,027,
512,173,941,855,493,176,038,790,220,707,083,011,128,677,225,468,496,556,301,
380,245,167,879,352,187,390,383,609,813,073,654,610,419,593,520,750,595,988,
042,732,368,525,461,204,284,463,011,966,567,098,323,082,816,367,141,110,404,
970,884,048,691,475,130,968,736,093,447,537,939,565,295,273,679,781,101,102,
200,519,005,035,942,669,075,048,688,844,192,909,751,964,338,010,013,253,762,
634,912,147,725,242,352,702,852,271,817,752,311,354,566,766,312,846,469,982,
472,162,878,654,078,810,387,412,389,636,852,724,440,223,095,627,022,908,466,
742,278,677,576,653,506,387,293,281,339,838,843,163,526,489,396,373,330,030,
615,398,761,629,887,490,030,713,661,698,048,971,371,029,341,021,768,266,647,
826,640,491,578,810,951,774,053,460,897,435,892,692,936,279,959,013,936,423,
539,349,930,575,908,251,792,707,265,380,520,067,322,245,998,764,448,309,965,
429,190,351,814,264,830,971,915,682,090,375,857,450,250,428,839,735,937,302,
331,509,963,620,953,528,811,559,267,844,665,088,165,057,925,951,373,438,812,
644,138,721,537,357,666,332,647,397,054,582,016,377,822,290,709,547,059,662,
898,494,987,198,289,549,589,102,345,396,630,234,053,879,865,828,328,573,523,
050,271,174,763,333,696,767,812,982,087,273,124,394,732,307,995,876,711,060,
834,649,010,594,071,758,281,777,918,597,988,735,234,484,654,234,233,718,047,
640,933,053,772,062,888,667,980,341,718,427,756,381,980,377,715,138,442,879,
245,009,102,411,973,983,849,792,746,729,250,914,148,671,386,860,627,818,461,
984,057,398,197,942,346,232,246,406,994,043,346,395,762,191,375,598,930,767,
805,932,442,580,406,746,289,167,410,796,220,444,207,869,752,859,209,569,944,
653,786,277,520,732,625,343,242,997,042,166,650,731,328,731,662,934,826,328,
554,359,815,317,312,317,485,693,236,807,150,075,045,386,115,064,896,999,258,
900,366,575,432,530,070,717,637,443,518,051,251,548,128,865,656,305,873,656,
652,146,280,724,728,508,594,090,048,823,912,318,000,299,007,461,087,775,034,
499,288,601,846,372,130,524,368,276,865,063,844,146,286,690,399,313,967,713,
765,845,060,009,980,235,428,740,048,020,143,716,500,682,902,126,740,431,669,
873,224,779,009,608,330,509,567,539,491,257,671,210,099,058,593,214,860,859,
974,380,245,012,319,726,936,772,711,272,158,436,723,308,699,551,824,309,880,
024,636,561,224,242,259,636,312,502,977,339,801,566,317,752,391,419,009,651,
280,659,913,057,065,273,650,658,273,611,202,710,542,463,754,027,384,356,842,
222,155,335,724,797,747,442,131,883,386,050,395,721,936,676,059,110,053,257,
216,119,417,948,139,981,412,504,971,949,661,059,900,891,829,006,603,863,724,
439,725,010,942,960,594,947,636,832,544,777,167,169,856,982,590,390,970,283,
754,887,130,311,418,481,878,014,015,598,773,601,611,605,764,752,827,583,924,
416,407,434,635,936,683,533,375,512,704,305,112,920,693,401,156,112,572,857,
437,727,237,123,454,850,032,074,335,005,724,911,690,486,509,092,891,743,440,
158,095,982,952,972,775,353,282,042,497,805,467,540,599,836,811,054,444,134,
226,481,437,307,883,744,693,707,622,382,087,888,514,172,586,210,898,383,994,
054,286,076,825,784,896,752,468,039,091,990,173,676,429,404,958,520,800,456,
905,916,850,644,993,957,506,527,613,788,817,930,919,705,511,866,768,195,138,
878,081,423,135,347,849,071,404,392,782,565,577,965,078,951,091,963,952,082,
222,047,038,158,872,842,414,462,148,780,437,947,963,759,374,992,781,690,426,
911,049,775,934,044,455,261,359,606,877,468,103,449,900,434,327,324,115,965,
189,786,848,221,904,445,147,003,013,237,815,653,916,052,954,754,199,087,763,
867,999,926,680,267,251,939,894,600,408,983,141,791,656,871,914,005,651,677,
129,478,103,432,490,631,127,122,616,735,987,794,724,902,545,160,133,427,803,
940,309,735,117,457,587,091,358,601,273,227,355,468,283,867,563,960,294,355,
811,013,222,192,165,743,707,599,355,235,393,287,855,252,990,800,549,197,188,
607,556,735,030,045,887,208,314,212,283,752,047,927,282,905,408,573,039,039,
510,177,325,155,296,213,797,921,244,922,830,485,608,157,601,256,137,967,679,
147,446,980,944,941,268,481,391,224,618,400,117,207,426,605,319,864,668,656,
387,793,354,266,844,245,656,173,846,039,658,140,497,997,567,454,965,462,385,
919,181,173,465,498,874,568,821,511,857,860,820,622,883,562,605,082,747,161,
433,298,654,633,942,867,554,941,337,109,180,678,498,634,232,372,211,873,168,
784,050,275,329,232,805,493,981,461,659,842,240,600,737,369,684,321,154,696,
056,769,809,411,352,763,506,326,174,399,019,611,366,630,807,722,170,471,817,
055,607,893,011,868,623,724,117,413,455,124,995,470,390,628,949,188,447,313,
053,764,725,751,233,932,504,187,762,060,474,859,238,410,119,949,339,215,411,
453,636,747,608,123,947,261,540,679,417,625,252,468,883,768,227,394,518,457,
859,298,605,513,549,191,146,769,639,722,943,925,527,090,637,199,824,457,288,
054,185,804,329,821,218,080,248,829,406,732,336,713,131,263,515,278,376,078,
777,779,463,254,076,367,904,290,153,943,441,705,053,474,912,914,075,948,314,
467,574,793,990,465,205,403,383,875,384,407,409,047,638,952,395,023,543,769,
342,439,722,733,599,885,310,838,442,888,044,930,784,167,712,535,991,020,790,
858,349,766,037,562,542,661,536,717,969,836,750,081,705,025,369,560,964,072,
164,942,509,608,294,935,905,295,088,381,213,002,976,953,844,340,649,329,702,
217,282,474,588,266,721,011,418,427,728,690,533,506,431,122,524,525,697,819,
594,050,914,326,311,362,247,885,749,623,137,227,602,372,393,415,638,006,667,
446,614,449,962,586,911,683,391,294,059,277,841,226,527,188,113,464,443,171,
638,492,163,921,216,754,960,929,314,636,394,837,263,540,837,973,275,930,093,
721,596,905,842,694,501,913,973,176,568,741,655,945,207,819,197,433,946,840,
141,322,861,098,563,967,971,510,320,667,890,701,649,411,316,959,714,986,798,
633,360,485,119,400,957,372,722,258,893,000,598,859,089,448,370,040,987,366,
004,802,955,117,632,263,041,695,959,605,613,777,675,026,177,062,925,178,110,
628,906,205,695,775,086,491,972,524,016,867,038,409,644,547,496,635,975,819,
023,850,859,475,813,304,935,043,059,718,715,609,458,560,268,867,883,604,530,
135,735,758,857,891,314,072,005,369,482,372,887,846,729,339,078,274,100,817,
271,908,773,980,490,678,016,661,413,256,229,942,827,909,536,635,722,734,022,
829,672,074,688,680,590,005,572,000,793,331,561,365,750,700,782,836,653,372,
596,682,673,257,472,791,576,253,130,006,190,135,624,593,754,844,983,711,846,
347,879,129,649,479,683,503,414,962,908,598,967,894,507,465,421,749,399,500,
075,420,739,142,962,197,546,964,879,981,681,646,878,746,317,455,233,311,064,
277,013,553,382,266,266,095,658,385,288,279,603,393,520,125,771,835,665,053,
332,524,271,865,746,349,526,570,270,601,346,364,886,611,747,370,515,314,463,
517,788,072,911,282,322,249,919,969,738,837,327,418,461,671,952,260,198,905,
358,450,853,207,079,153,147,237,254,156,226,918,833,894,562,294,167,818,801,
321,268,431,310,600,820,468,358,272,812,487,453,410,482,119,097,243,106,826,
443,619,884,434,354,333,408,487,878,523,606,865,609,253,562,326,279,795,949,
453,086,645,213,587,217,643,284,049,792,827,403,835,939,496,701,683,254,519,
313,730,904,369,868,558,096,462,954,330,773,283,404,968,916,856,480,952,502,
830,324,125,162,655,913,469,796,078,051,624,920,276,203,575,481,482,089,303,
544,097,052,136,016,856,626,592,121,256,655,018,040,647,153,516,210,041,026,
993,991,707,947,201,250,008,511,284,702,155,715,845,887,056,749,066,031,916,
333,439,063,468,634,406,232,750,188,460,970,610,000,535,846,016,200,116,935,
693,001,186,296,439,247,726,748,893,894,180,709,982,309,275,052,083,035,257,
091,979,738,919,185,559,451,200,848,004,134,462,255,573,467,533,004,482,751,
533,843,235,298,908,027,668,375,931,094,850,105,572,056,210,771,682,228,756,
271,207,992,458,059,492,984,491,298,464,459,963,068,632,725,929,389,023,530,
755,634,803,410,541,156,408,318,497,027,447,791,622,097,765,285,025,618,941,
581,901,774,016,086,347,906,223,949,367,893,032,682,317,191,909,965,117,516,
755,194,589,128,182,439,538,624,443,324,766,314,221,804,239,374,514,739,964,
616,072,719,323,018,659,462,297,301,107,568,594,969,691,387,475,713,759,317,
036,004,836,707,050,675,717,498,978,309,774,812,108,784,329,792,685,214,505,
413,669,758,265,599,847,752,464,106,106,542,638,724,782,647,304,433,837,306,
324,183,640,147,323,073,108,395,288,272,566,662,523,941,032,814,679,846,523,
530,049,124,964,957,875,229,982,411,812,094,182,918,352,601,006,845,377,670,
668,003,163,916,339,035,911,611,812,897,525,756,696,966,627,842,229,988,336,
098,564,316,013,045,269,585,055,178,719,269,027,507,556,568,137,813,604,001,
678,407,584,027,019,904,137,079,974,300,976,710,410,289,653,100,935,703,497,
825,020,877,760,083,255,146,546,455,616,387,111,026,155,376,898,839,882,138,
658,073,442,608,847,650,554,404,466,072,560,539,271,443,917,553,863,998,107,
475,163,657,939,177,954,894,502,569,122,779,606,836,403,809,119,383,974,845,
655,197,805,964,029,233,125,394,372,270,885,653,137,841,775,515,734,784,734,
289,659,917,949,753,545,222,167,367,116,724,683,849,014,619,936,900,827,313,
652,075,849,720,844,938,717,722,632,163,127,243,631,997,266,208,854,585,082,
226,939,745,377,530,129,902,442,354,675,778,228,043,108,423,051,213,064,188,
832,666,396,181,018,994,425,286,328,723,354,708,076,475,832,526,665,088,420,
593,220,535,595,857,722,070,804,860,288,448,440,453,530,724,745,188,888,429,
138,440,489,580,003,156,358,372,353,952,930,489,896,950,823,425,562,919,588,
221,161,168,048,387,644,058,832,011,237,683,044,023,711,629,857,959,561,088,
860,248,184,502,278,735,053,830,166,477,870,377,121,860,578,055,759,846,200,
734,006,989,134,836,065,390,864,348,777,397,341,533,033,687,566,110,227,389,
139,068,176,286,954,415,513,193,041,387,317,308,899,309,199,864,506,895,742,
648,241,238,164,963,577,555,572,352,813,387,589,534,749,127,793,811,976,964,
468,044,864,855,563,064,501,302,504,595,034,345,234,199,122,164,235,994,411,
989,791,541,919,461,773,752,127,340,606,161,991,984,061,998,046,974,256,443,
558,929,942,542,247,366,151,195,139,701,599,550,528,989,816,890,343,875,828,
701,563,814,783,875,990,529,038,453,875,226,504,912,234,773,878,673,974,907,
756,190,034,269,773,047,559,125,455,787,214,270,204,142,613,185,050,720,998,
350,674,415,218,610,534,593,436,493,646,900,582,294,830,907,711,837,111,235,
246,611,354,174,107,816,500,610,655,686,159,211,122,099,312,956,481,395,340,
658,237,431,713,946,720,793,927,499,723,349,571,375,565,090,896,653,061,220,
468,757,285,544,522,604,006,693,576,705,039,716,859,856,307,165,661,952,941,
662,954,460,322,891,988,376,246,860,980,370,160,035,424,314,304,467,690,605,
146,714,692,646,593,789,772,131,982,903,559,180,433,582,175,009,848,306,590,
742,816,830,795,958,441,994,577,754,946,129,657,927,315,151,619,762,526,621,
265,162,647,910,645,428,618,790,828,869,067,431,096,891,583,683,428,529,164,
098,142,341,760,919,958,965,089,524,705,609,654,034,285,506,403,934,760,944,
822,294,331,462,157,210,276,078,570,704,203,462,048,390,810,629,990,274,233,
075,404,823,754,000,393,801,090,104,873,982,023,646,283,741,029,464,969,430,
730,258,149,768,684,401,929,287,798,211,751,045,728,388,676,018,226,885,621,
296,645,053,872,394,016,044,009,771,156,439,106,316,012,565,353,701,105,773,
867,594,089,480,584,727,794,854,525,548,702,089,983,876,800,147,132,436,883,
450,579,998,688,173,931,337,740,386,854,840,960,020,339,943,496,810,717,480,
757,086,546,584,978,848,464,474,412,335,585,463,912,762,108,508,198,679,176,
187,507,234,482,259,030,674,364,917,470,776,584,778,083,378,371,379,237,290,
894,895,411,893,996,301,357,910,741,866,418,083,206,102,905,533,624,364,584,
027,530,813,686,718,223,295,710,569,052,828,992,001,777,802,114,414,582,102,
180,101,069,526,081,507,461,489,437,669,315,769,221,611,339,350,337,153,353,
209,789,220,889,444,981,221,902,572,645,876,156,619,418,557,145,804,037,740,
427,726,812,595,902,952,423,807,758,520,200,183,012,670,812,936,744,861,627,
855,750,373,300,315,203,223,883,487,917,025,218,093,164,297,042,824,283,533,
806,909,423,157,140,025,139,941,673,670,044,530,114,680,803,524,618,438,756,
671,163,257,771,653,509,406,983,685,318,917,685,254,034,807,963,437,660,146,
745,492,351,015,001,463,351,906,051,468,221,865,205,569,966,187,944,690,891,
758,158,206,616,682,605,887,896,010,137,712,608,310,118,662,459,797,384,338,
232,635,480,714,957,045,463,912,423,299,689,848,639,637,545,045,951,577,034,
209,583,327,075,194,452,009,678,691,763,404,620,467,898,624,491,077,798,715,
798,722,637,247,130,003,483,093,360,181,292,886,573,525,968,547,725,793,967,
414,763,813,442,619,701,184,302,916,654,312,956,476,585,561,643,871,880,343,
412,380,895,021,757,491,811,036,669,784,222,767,743,242,379,662,600,405,632,
962,944,482,561,699,553,663,110,523,763,979,488,112,021,479,714,774,254,259,
007,640,812,449,688,425,005,362,168,011,835,082,288,587,185,546,610,004,207,
074,882,150,347,000,966,594,133,876,423,086,292,036,403,658,018,180,349,004,
145,003,453,309,975,487,128,476,454,529,406,511,505,679,126,657,761,067,731,
152,684,546,855,149,012,079,251,347,342,912,297,183,548,382,339,783,463,254,
201,164,667,399,674,258,567,537,392,725,321,881,756,564,785,855,729,552,992,
101,993,872,067,754,584,633,880,349,732,312,282,624,154,667,041,722,585,510,
047,811,572,019,771,157,857,847,997,483,737,024,567,615,796,475,221,006,895,
137,267,942,323,924,576,646,011,556,869,818,144,743,107,152,425,129,244,864,
073,863,545,472,293,579,793,038,488,151,421,782,827,031,602,615,291,695,532,
312,623,980,655,760,809,138,381,611,714,178,445,497,902,547,482,540,654,510,
740,573,669,359,411,387,939,153,565,783,508,392,419,260,112,440,724,431,547,
109,689,756,373,739,441,483,543,053,265,827,732,909,540,817,220,142,607,965,
607,790,049,819,005,145,061,915,941,527,955,175,626,507,675,926,232,340,831,
669,697,351,682,158,077,545,625,679,741,317,954,518,789,649,773,743,085,428,
963,832,579,590,252,709,756,671,306,969,691,551,677,637,924,353,325,133,070,
742,313,347,675,296,583,287,503,029,628,541,594,544,445,195,884,620,006,993,
430,469,785,674,904,913,106,735,325,011,939,641,694,004,635,400,611,494,748,
913,515,499,593,610,113,821,232,531,474,205,506,828,583,102,239,344,374,385,
596,937,529,310,497,717,812,851,716,858,622,798,985,473,896,025,577,398,143,
160,740,514,428,817,508,560,088,034,391,968,468,869,067,732,480,270,874,032,
030,651,110,201,375,068,277,913,846,316,097,415,434,373,628,639,210,524,551,
731,359,471,002,225,839,751,316,634,427,909,533,823,878,301,601,678,608,751,
585,077,695,108,247,758,948,599,358,021,975,279,448,993,510,473,801,942,276,
712,616,741,562,026,501,153,397,778,516,000,345,821,493,116,114,618,252,874,
051,572,608,693,372,202,545,361,089,395,663,671,612,451,452,563,842,772,900,
577,238,470,449,143,230,233,701,619,165,451,925,549,055,585,943,865,742,092,
765,251,598,121,571,343,688,472,939,000,403,064,005,327,311,688,873,246,792,
116,726,597,810,251,127,496,875,373,392,820,507,136,638,225,482,449,613,067,
244,068,747,298,448,766,228,234,171,192,807,986,521,701,186,969,835,737,231,
904,979,700,815,909,020,001,211,168,362,889,015,377,965,796,082,814,201,244,
627,539,457,813,293,548,204,365,579,309,340,159,403,850,808,785,539,450,614,
717,805,464,695,113,164,400,002,294,066,987,551,804,270,436,938,908,562,153,
171,115,435,397,516,818,171,300,765,648,861,402,661,398,449,754,561,848,505,
860,848,341,744,544,733,163,244,979,473,120,972,160,707,718,069,083,974,264,
442,444,485,211,894,020,904,224,363,083,924,022,681,826,921,032,419,781,061,
149,311,835,216,079,750,886,836,727,948,769,843,365,514,359,536,930,948,357,
415,582,334,249,090,945,044,012,609,832,133,301,597,563,763,615,331,652,491,
610,425,762,362,531,726,087,686,065,868,395,922,524,863,918,652,759,692,778,
616,729,569,055,593,449,838,807,525,387,450,162,889,361,010,297,218,326,185,
282,743,914,267,117,983,207,177,956,767,667,126,617,530,477,343,968,473,651,
528,650,032,249,795,640,375,527,521,492,560,333,630,187,106,203,008,080,424,
991,533,652,631,941,952,919,760,914,663,378,562,668,632,540,652,610,244,670,
022,046,158,579,091,869,172,007,186,995,161,047,672,962,303,014,468,003,510,
206,064,336,132,097,759,386,353,101,103,250,884,295,095,483,904,460,121,099,
861,755,827,487,702,970,036,986,144,112,906,511,393,896,406,662,172,289,916,
867,176,103,179,592,866,498,880,658,845,013,952,071,403,645,886,270,995,306,
987,772,220,362,155,092,503,550,165,731,490,258,708,801,884,375,211,308,068,
016,127,133,795,495,401,333,440,625,910,889,062,739,908,845,051,128,229,489,
579,812,256,684,675,452,448,941,556,270,880,700,869,033,099,162,109,575,947,
386,702,053,517,812,054,789,121,600,579,840,013,845,542,971,271,116,415,059,
488,371,568,139,487,784,059,095,610,609,427,120,000,974,719,590,520,706,060,
351,072,313,470,457,374,241,192,048,201,245,186,003,818,303,615,908,539,003,
997,290,230,732,942,029,644,956,417,811,700,859,015,012,139,174,251,155,121,
671,772,584,105,538,379,981,752,043,997,911,468,463,834,419,039,859,373,848,
496,017,733,977,734,979,521,079,386,411,368,038,233,427,217,864,556,268,977,
397,964,782,978,682,991,161,679,508,587,710,513,028,935,486,746,420,792,260,
649,928,717,442,259,970,084,625,808,743,936,028,505,044,386,306,967,314,947,
282,538,363,184,181,347,756,138,953,959,933,026,425,292,700,129,395,652,500,
213,122,012,617,626,961,962,284,621,988,467,185,310,973,948,886,563,573,214,
002,502,262,176,731,513,655,868,444,659,305,799,493,965,310,579,653,489,419,
868,868,918,599,597,406,552,054,166,433,230,764,695,290,444,708,034,554,619,
057,931,813,921,203,551,484,856,134,998,225,642,200,465,923,576,760,478,476,
209,482,272,588,132,864,049,178,861,689,565,258,341,808,426,110,016,863,684,
314,102,325,420,788,271,578,339,734,889,976,051,583,060,757,721,968,716,530,
024,584,448,898,719,600,646,544,675,722,651,197,522,525,606,393,399,013,713,
155,897,762,452,592,323,295,604,414,142,593,316,067,843,514,310,709,701,576,
145,852,064,642,871,067,492,837,731,716,593,155,061,791,451,594,742,258,848,
664,680,772,930,785,871,607,158,223,883,131,935,464,412,228,924,983,565,746,
445,540,670,342,947,975,402,011,211,737,346,653,683,088,861,605,479,547,974,
878,262,710,207,438,507,618,780,160,280,844,069,396,007,198,079,734,482,397,
637,737,685,523,966,902,442,615,538,540,463,641,647,370,567,727,509,059,465,
041,665,924,962,658,751,928,380,849,323,810,162,506,374,421,404,055,927,574,
379,583,110,132,262,395,316,606,874,288,757,300,925,527,973,655,155,181,758,
025,362,934,803,620,575,025,602,662,765,868,890,965,092,610,221,492,580,786,
260,801,058,384,524,599,342,123,065,250,536,824,376,368,859,235,518,835,724,
492,679,501,561,327,514,153,735,591,721,805,387,547,972,549,099,725,571,887,
403,820,286,066,101,250,416,568,705,187,095,302,229,113,984,373,023,453,057,
806,229,172,860,581,057,682,799,608,704,993,344,732,627,767,102,778,617,732,
394,829,780,320,316,560,046,181,812,716,733,884,313,105,164,188,362,350,650,
866,262,670,543,479,278,800,721,905,432,277,359,206,806,737,547,504,348,359,
068,592,869,955,418,485,512,863,185,085,145,614,684,722,317,050,684,899,438,
079,496,210,924,506,154,774,778,858,617,668,876,117,107,060,159,189,144,626,
625,006,400,311,057,847,359,458,623,842,742,302,795,456,617,167,444,726,677,
728,766,892,978,807,034,101,172,751,841,542,640,821,634,754,671,941,626,124,
490,594,138,901,775,572,630,633,278,005,258,288,552,071,735,479,959,680,438,
237,336,213,135,621,738,427,077,984,932,046,275,305,317,480,030,913,176,768,
155,621,893,781,102,152,936,911,808,068,490,524,513,413,049,937,040,217,381,
969,367,629,535,126,438,387,748,169,267,312,045,334,408,152,433,089,294,723,
058,151,780,541,027,344,676,710,825,962,703,490,540,278,664,350,977,417,431,
240,121,354,399,805,050,047,468,020,796,014,586,516,009,238,294,082,461,062,
914,144,027,795,670,017,849,185,659,651,482,292,073,562,535,182,018,271,636,
309,422,498,054,250,842,360,853,321,257,777,179,863,819,879,907,573,565,376,
395,741,924,774,190,833,747,020,810,490,694,130,951,023,302,485,959,624,996,
425,251,671,694,529,432,778,646,851,806,730,389,413,732,624,632,335,194,306,
441,348,611,138,591,681,787,967,883,957,007,803,668,608,171,739,009,952,489,
360,808,627,561,099,415,474,201,641,009,047,859,883,828,281,200,660,568,100,
675,962,902,770,102,558,951,023,348,593,632,028,819,647,057,689,014,549,650,
788,879,687,301,863,520,021,356,011,586,432,013,241,747,910,393,372,965,824,
592,494,943,952,756,151,932,902,008,877,041,194,550,163,749,055,008,720,898,
299,536,327,504,006,316,892,576,574,152,271,703,813,867,065,261,754,730,325,
679,321,367,416,532,969,280,064,182,220,350,475,886,691,092,697,590,131,196,
503,749,233,070,500,433,544,883,250,883,864,723,448,327,125,312,033,067,489,
516,848,034,202,303,825,756,452,673,658,904,127,330,709,298,629,678,180,290,
403,141,127,620,613,157,166,056,416,519,223,637,277,026,369,464,006,525,110,
504,432,426,619,778,006,796,922,757,440,672,068,933,121,970,913,438,510,054,
619,439,225,109,343,462,786,755,958,016,388,671,564,714,669,911,050,700,837,
342,447,300,076,230,933,059,520,948,360,524,624,825,492,425,214,373,972,841,
330,588,798,594,262,389,194,241,123,625,565,585,505,077,521,160,652,404,326,
283,021,710,703,861,375,867,274,574,685,347,143,446,230,907,013,377,777,678,
343,395,980,883,844,898,117,815,285,353,101,331,438,912,562,860,711,145,028,
149,159,360,668,423,543,752,117,621,617,740,420,435,255,918,244,327,878,888,
753,763,273,251,063,803,628,940,982,681,064,790,617,821,213,160,811,481,709,
388,462,866,911,976,657,320,717,738,993,593,754,586,977,936,256,520,814,144,
536,794,536,151,868,237,947,816,536,481,694,568,789,100,413,113,183,786,770,
032,978,238,954,770,328,590,755,845,677,955,271,134,268,854,574,042,110,194,
943,490,307,372,495,863,049,807,120,960,018,634,162,370,498,590,063,179,842,
656,080,269,469,912,027,131,054,519,982,874,603,502,419,482,804,192,589,383,
619,403,164,446,157,725,667,312,069,965,150,288,039,214,218,036,747,745,329,
201,147,937,687,795,554,039,241,169,904,189,455,561,816,631,780,856,404,716,
565,000,451,426,848,171,392,946,082,743,023,114,693,114,253,311,045,326,412,
716,121,072,993,394,203,642,260,416,789,489,812,757,693,394,013,620,196,321,
074,784,875,843,421,840,400,833,805,959,843,655,893,428,184,485,431,929,269,
395,224,646,966,749,155,758,169,525,225,936,433,961,499,904,946,939,370,017,
864,890,147,600,416,781,160,682,576,598,719,663,320,625,798,804,142,914,632,
740,358,420,994,024,652,699,437,209,233,301,275,164,454,958,946,972,430,007,
400,813,762,503,701,786,422,552,652,302,913,247,766,682,377,194,822,969,941,
883,475,679,943,353,130,955,181,878,522,296,721,013,327,017,378,466,162,548,
802,965,280,408,609,688,368,001,881,598,663,050,135,059,226,719,419,678,143,
391,826,367,007,770,110,010,057,814,823,715,297,352,388,598,655,512,787,796,
787,481,545,739,800,711,404,933,801,281,741,515,338,494,663,154,507,978,677,
945,955,576,583,901,197,463,802,237,420,983,445,395,383,633,131,292,538,316,
319,975,705,891,459,878,181,557,188,743,095,054,165,142,672,053,651,720,475,
816,246,451,966,840,471,500,247,044,025,974,256,260,095,558,820,890,457,045,
949,505,265,949,647,668,510,846,889,369,862,217,529,684,590,870,634,899,478,
088,358,051,032,988,310,390,886,611,591,683,090,158,823,725,148,070,006,567,
487,075,932,201,360,580,021,080,220,396,853,691,522,936,183,794,474,663,964,
307,172,313,230,085,494,649,407,348,350,149,296,149,863,653,598,559,751,794,
061,966,971,515,110,658,327,314,717,864,996,276,969,070,114,761,568,557,679,
862,396,429,943,230,115,188,341,413,265,725,867,318,282,061,240,952,611,957,
584,154,774,259,844,495,015,745,235,431,021,644,539,802,999,819,862,792,941,
233,095,132,627,551,317,355,110,449,233,611,255,568,965,972,382,169,993,009,
064,576,812,599,740,528,347,565,560,661,536,195,075,135,364,324,565,554,734,
020,225,274,633,216,015,310,820,935,750,641,293,330,203,098,966,577,325,680,
612,594,014,971,366,120,811,591,977,121,464,819,142,542,997,240,778,850,733,
172,054,865,401,978,365,792,993,567,333,617,356,495,550,006,415,648,692,678,
325,783,058,755,354,908,753,541,842,848,327,864,728,267,575,207,996,572,770,
291,016,704,168,374,229,603,397,826,874,359,345,609,338,524,364,778,596,690,
425,659,280,149,403,797,823,834,570,291,007,229,309,123,671,535,532,956,194,
213,581,132,362,994,779,660,945,289,750,196,164,515,172,757,775,723,515,370,
549,166,782,478,593,295,562,828,445,494,806,481,292,366,146,688,295,108,900,
708,093,146,056,001,392,078,479,577,960,303,794,502,722,864,426,408,133,178,
527,292,096,555,184,475,996,961,178,830,595,995,381,795,998,254,996,911,879,
807,194,681,177,493,476,888,744,170,431,406,581,432,386,055,231,363,045,666,
659,390,439,270,708,881,880,916,984,429,588,248,333,835,607,838,581,871,036,
132,903,007,905,587,167,896,594,783,933,773,078,055,218,506,011,143,003,607,
720,144,369,605,507,106,577,834,796,332,019,352,779,826,885,917,553,020,881,
108,242,700,712,898,336,191,558,466,854,248,989,028,799,312,601,883,004,069,
928,520,835,052,909,056,446,160,204,239,987,103,181,620,846,631,937,521,666,
962,558,179,582,107,791,938,077,440,029,647,257,743,124,885,380,732,135,529,
907,840,457,423,859,892,806,667,496,856,950,634,084,602,469,609,418,879,900,
452,944,751,209,797,034,214,089,345,752,572,688,308,262,578,702,700,538,358,
605,886,271,736,540,334,995,507,216,071,559,448,775,877,772,651,942,380,826,
591,049,759,396,379,492,541,383,626,900,367,156,372,187,440,740,353,061,342,
033,858,849,076,290,579,444,820,865,510,252,203,295,527,326,927,745,945,445,
367,628,592,441,839,343,888,187,364,644,878,038,433,721,351,252,518,157,951,
222,544,130,687,752,301,308,388,240,767,278,692,295,465,229,588,490,516,120,
679,116,320,479,709,286,447,189,484,803,725,596,502,193,515,746,488,743,971,
200,441,728,530,318,707,889,335,084,240,821,775,280,527,162,471,638,436,754,
288,227,540,919,828,652,888,672,843,940,974,845,045,159,900,961,520,243,971,
645,357,524,583,141,345,536,519,845,240,560,872,863,966,095,016,127,125,162,
281,141,645,899,772,986,922,298,766,957,803,475,432,690,879,933,779,067,688,
588,785,179,995,659,604,550,900,404,023,412,036,139,068,157,909,885,453,337,
170,965,654,178,508,221,644,170,609,320,915,670,856,289,581,022,745,945,876,
257,439,270,873,718,871,643,890,627,775,882,255,688,736,444,201,581,350,753,
100,280,224,628,226,961,113,070,211,217,293,172,270,020,773,516,230,672,168,
123,106,366,485,154,861,951,118,480,955,546,427,135,942,563,295,903,860,598,
334,177,084,168,094,930,779,124,636,068,724,346,260,704,358,558,549,175,458,
237,475,522,638,089,533,515,104,488,139,414,144,150,148,612,389,092,866,206,
204,147,420,289,647,516,398,944,315,846,198,995,890,260,882,647,296,689,649,
815,296,708,410,452,424,650,327,549,995,357,510,842,613,220,545,653,738,476,
356,569,377,193,663,222,813,824,044,452,500,384,981,988,175,257,019,292,354,
659,655,522,560,053,604,388,879,977,557,157,171,224,849,132,685,836,989,405,
672,326,216,718,784,334,667,009,709,704,338,298,628,556,328,961,893,211,663,
968,933,175,363,301,493,130,335,602,052,170,953,489,314,537,406,732,723,938,
756,341,355,055,934,888,721,858,595,788,237,866,098,998,557,532,276,888,447,
068,847,266,350,079,792,875,097,703,169,619,344,824,597,837,553,450,086,270,
823,202,638,318,161,185,906,131,024,258,844,301,570,606,062,680,986,275,233,
242,399,954,604,086,903,735,577,563,636,522,120,190,512,931,166,502,830,396,
623,674,716,617,159,274,424,533,804,064,452,133,058,313,585,109,500,829,149,
246,385,686,004,564,155,767,556,230,331,037,586,607,683,139,217,971,432,274,
916,594,854,881,480,138,739,308,679,492,031,739,527,646,524,449,123,651,001,
957,809,141,604,594,617,917,975,109,485,499,254,257,854,414,636,308,304,610,
172,087,506,036,689,699,316,733,161,934,180,408,976,559,370,032,171,837,134,
958,085,922,722,936,911,312,927,633,505,536,505,779,620,183,277,070,693,140,
417,473,478,631,196,829,882,092,423,783,370,855,642,019,316,538,850,843,364,
281,453,609,358,002,537,398,666,041,973,611,134,673,343,815,515,230,595,741,
427,083,690,055,558,621,791,709,222,837,520,217,889,591,243,163,151,071,355,
935,357,861,864,708,682,127,173,749,402,823,138,602,438,060,254,076,557,182,
991,951,979,837,758,656,501,352,775,448,543,777,591,275,034,926,967,424,163,
811,756,944,165,957,085,819,664,807,609,824,264,710,056,379,609,124,061,910,
021,645,578,119,297,673,203,323,744,014,765,651,935,871,614,379,916,079,601,
501,905,819,933,612,322,162,653,193,483,569,282,579,206,837,427,065,456,899,
904,806,596,684,523,710,712,774,342,451,787,211,529,340,229,204,543,825,101,
243,973,272,277,927,149,056,504,534,634,387,080,502,414,241,173,117,283,604,
435,367,661,910,769,912,501,471,946,481,275,606,477,066,538,103,336,736,398,
489,247,404,643,913,122,760,766,321,120,055,467,719,477,059,413,978,073,761,
456,710,283,359,290,104,685,381,523,825,641,073,582,699,353,986,641,185,473,
098,478,262,916,277,233,785,064,270,791,680,044,133,447,100,156,837,900,104,
206,304,802,323,140,615,417,977,438,861,401,751,074,905,169,520,769,506,380,
048,696,863,910,648,860,173,138,879,065,893,887,438,984,489,368,591,876,205,
275,192,087,962,498,323,066,748,008,444,474,295,362,207,694,481,159,132,951,
165,337,734,156,635,486,109,974,356,155,835,566,103,143,319,359,569,345,659,
496,515,565,189,865,730,491,769,392,568,685,209,011,600,297,635,375,993,597,
977,909,414,697,532,734,316,245,786,140,084,078,768,055,681,742,597,267,285,
764,115,156,319,290,558,248,428,869,549,931,053,060,945,680,892,216,527,092,
025,123,143,724,986,205,135,231,715,776,694,132,835,306,028,342,822,878,722,
850,436,839,029,616,210,814,118,031,063,260,867,247,640,477,445,156,997,132,
409,636,246,808,088,727,644,094,713,486,773,061,599,384,700,812,605,630,457,
538,933,904,059,690,581,734,001,020,240,209,333,258,695,937,260,436,177,110,
616,862,304,630,111,143,235,900,643,478,485,256,050,680,881,546,770,770,833,
641,313,280,696,200,118,078,521,368,609,612,713,993,528,596,249,580,672,187,
511,106,542,943,138,012,746,184,928,333,716,487,758,897,443,935,700,837,479,
736,397,590,512,250,275,066,199,704,023,021,771,124,690,808,633,902,058,007,
589,902,680,882,137,043,014,264,444,898,372,526,101,266,607,671,566,066,007,
959,816,533,946,707,171,760,268,448,517,479,813,557,128,634,049,765,203,327,
848,783,730,732,472,639,546,385,417,007,469,649,908,388,354,593,058,274,875,
665,739,494,123,902,304,916,441,570,895,208,824,155,902,561,526,008,493,907,
491,237,870,811,180,966,277,332,467,381,981,628,660,425,801,302,255,498,258,
321,400,586,363,849,433,023,235,831,147,705,609,698,932,126,353,447,742,897,
855,479,214,603,204,772,006,039,731,519,926,025,824,521,461,360,484,977,342,
841,041,575,151,578,698,319,789,710,542,856,116,638,524,964,238,873,054,152,
427,159,269,613,405,734,942,750,440,844,832,272,459,235,002,394,352,024,069,
610,504,094,090,374,413,137,611,527,913,637,228,421,092,924,389,320,956,371,
156,298,673,657,852,397,559,387,799,725,034,777,993,301,064,109,038,814,342,
457,998,994,914,906,687,193,161,121,298,310,446,603,854,829,717,274,533,052,
657,380,343,247,777,287,254,360,181,852,827,037,013,154,955,795,991,276,374,
177,847,218,232,300,743,751,826,551,015,323,674,923,576,514,735,514,377,093,
880,907,083,501,317,637,518,018,491,821,959,556,344,651,347,971,670,555,386,
090,257,471,851,042,602,915,525,991,863,495,473,828,542,263,831,192,370,013,
180,129,620,903,839,862,940,934,087,721,632,750,066,088,391,398,121,745,821,
420,242,559,914,474,817,474,970,654,514,792,356,905,764,631,297,549,538,466,
408,141,548,484,107,797,813,837,486,335,332,586,065,189,513,640,264,941,539,
468,956,880,686,285,592,501,769,595,549,086,318,057,848,079,566,617,566,441,
362,228,955,253,616,684,892,655,096,538,351,051,709,833,026,331,929,910,838,
708,113,317,263,360,824,404,399,780,334,854,244,454,584,657,130,227,134,134,
963,391,615,068,044,627,577,766,680,564,002,454,661,614,731,273,304,247,484,
973,942,334,471,579,977,939,656,692,673,197,939,385,932,401,717,741,767,587,
873,759,331,956,730,280,402,077,957,496,556,907,355,779,654,049,093,900,242,
944,722,371,202,179,694,782,889,867,418,899,841,333,032,504,059,685,857,536,
789,769,792,153,283,581,875,831,063,872,035,165,707,692,250,266,179,178,947,
727,251,189,825,379,367,933,521,742,774,554,209,666,327,969,282,008,127,571,
342,257,908,966,989,427,606,116,618,410,798,772,800,655,523,898,529,852,182,
762,624,339,888,232,566,764,898,123,673,264,264,967,542,505,073,684,980,170,
704,703,942,846,868,780,380,161,321,766,824,475,470,330,256,658,871,702,304,
299,231,743,677,457,345,655,338,645,915,897,252,505,468,405,163,085,223,308,
849,844,825,473,529,929,919,855,094,738,600,596,341,063,903,875,365,116,217,
795,929,035,493,759,357,326,183,929,688,655,677,756,084,153,906,778,132,502,
807,683,664,217,290,353,255,866,257,366,516,713,317,416,214,136,732,819,496,
278,756,723,422,496,019,862,397,895,628,723,407,736,699,755,909,586,232,459,
075,644,372,140,064,554,945,272,650,942,363,651,326,581,758,083,117,269,129,
549,186,238,568,181,126,209,373,313,214,965,749,838,695,471,352,813,663,052,
756,411,991,676,474,641,275,592,532,778,674,297,131,091,710,643,439,985,646,
148,567,177,804,963,328,942,503,714,189,092,145,390,869,072,986,975,121,331,
649,124,832,390,579,191,087,912,189,971,585,494,981,029,840,135,957,954,235,
649,515,137,014,965,773,844,655,964,030,184,127,817,506,662,542,234,223,853,
666,909,597,009,119,875,244,689,793,210,303,625,817,192,980,732,680,427,395,
893,561,525,609,660,168,780,027,243,689,425,608,198,239,067,588,294,695,540,
398,152,946,708,862,794,038,920,705,535,421,360,470,478,881,392,658,788,777,
812,668,817,891,239,297,737,127,382,506,840,065,579,726,476,896,241,676,233,
946,502,925,999,026,603,821,935,345,242,677,776,318,912,935,663,364,473,984,
142,836,950,470,015,458,634,933,841,892,942,205,551,307,571,604,387,146,420,
467,803,021,352,947,868,819,676,103,202,645,002,325,863,207,736,312,917,303,
082,041,172,284,289,046,285,393,448,496,380,326,116,363,916,077,040,619,527,
289,236,382,943,697,119,578,844,600,654,970,541,417,835,684,005,165,580,783,
403,229,031,151,481,182,096,084,250,910,572,956,219,578,808,703,545,613,809,
345,598,513,609,540,838,443,032,859,518,141,380,015,047,348,413,409,496,777,
903,337,156,775,764,817,837,631,429,597,749,269,293,637,744,822,236,652,749,
915,838,780,786,745,000,786,735,490,841,866,220,325,374,779,549,641,394,984,
793,801,524,115,239,308,625,699,377,705,080,619,071,889,240,928,052,246,497,
114,091,729,867,262,055,266,415,413,379,753,219,427,544,082,118,694,647,433,
574,364,495,954,125,803,298,360,782,028,490,371,577,964,485,115,206,042,783,
217,085,405,885,094,465,126,165,943,063,721,460,459,327,950,775,173,300,565,
334,185,608,389,793,737,002,146,764,674,612,608,228,576,712,185,348,812,122,
148,086,609,172,159,031,320,691,173,340,087,534,307,184,800,922,215,889,310,
257,332,399,968,968,450,270,966,603,999,967,749,629,329,943,885,675,991,982,
777,739,554,087,500,694,602,009,807,305,328,895,132,707,938,703,405,019,152,
182,073,550,598,364,198,411,023,708,178,553,479,729,709,113,064,017,439,679,
163,338,515,659,265,880,290,448,307,141,378,955,256,310,526,708,193,582,261,
199,600,857,217,737,315,704,357,115,000,332,275,195,746,807,383,631,514,394,
223,759,275,509,162,971,835,434,846,229,407,048,276,342,747,008,170,209,284,
978,019,594,168,229,370,117,171,208,396,769,335,084,148,529,606,748,658,592,
553,012,710,781,798,242,363,992,959,056,275,755,355,458,273,582,568,605,662,
094,130,373,258,166,999,383,843,409,005,336,149,177,053,797,252,490,358,588,
778,454,995,139,112,705,539,466,493,081,843,032,927,320,216,232,619,719,702,
783,020,439,531,622,506,306,356,152,115,279,862,115,174,671,318,786,745,066,
783,229,534,239,387,596,663,952,018,818,328,818,565,325,783,515,114,278,122,
321,431,195,180,392,370,220,134,532,002,534,331,523,314,929,925,110,344,849,
382,103,825,070,617,042,867,906,592,216,713,043,417,656,259,181,484,570,574,
459,943,181,039,030,419,377,322,223,792,225,791,039,807,172,243,195,813,046,
662,591,086,074,913,897,392,676,984,096,466,214,847,824,637,560,645,605,150,
882,767,705,554,464,240,367,846,132,157,266,179,012,355,515,728,959,562,181,
019,472,080,017,242,048,354,861,041,730,567,023,776,414,435,596,486,560,938,
927,438,601,273,070,231,313,973,121,208,409,495,111,052,176,909,627,837,615,
000,170,879,319,120,849,621,800,999,055,247,855,014,364,243,243,196,504,835,
561,287,659,994,505,823,773,218,776,529,729,977,448,056,183,483,942,264,051,
975,196,648,633,014,536,557,637,853,230,210,885,109,824,250,009,388,202,316,
516,208,279,737,947,418,359,323,423,774,115,813,171,977,819,921,050,373,798,
502,871,559,763,442,634,214,767,625,488,995,882,456,348,462,990,145,801,299,
371,001,887,504,489,441,874,693,612,513,574,205,631,115,258,790,840,819,226,
142,740,072,649,558,438,310,213,521,637,903,594,091,889,600,501,782,327,272,
808,862,890,065,751,993,285,401,251,233,578,777,662,343,202,776,623,032,774,
458,814,550,109,288,410,184,764,687,763,066,766,067,601,753,820,473,059,601,
809,127,208,640,397,577,714,798,063,441,104,485,854,165,915,914,510,645,366,
506,217,683,987,306,487,599,127,406,537,134,996,969,578,348,534,830,547,257,
116,830,948,231,043,233,514,307,034,745,671,142,476,015,231,008,549,363,744,
039,795,572,017,808,152,020,830,738,941,682,639,085,668,585,554,793,794,568,
325,766,565,523,177,603,951,927,977,924,106,032,076,577,695,544,225,230,221,
626,744,857,351,576,345,732,340,232,305,438,006,399,687,974,583,864,818,747,
408,456,906,383,735,312,139,661,497,496,378,653,317,363,546,521,811,158,867,
563,290,189,773,727,594,513,173,098,933,470,587,841,485,328,557,744,656,611,
451,589,122,511,348,162,057,612,164,328,117,814,428,296,645,345,900,632,985,
498,720,448,697,394,505,915,350,187,874,583,366,202,063,848,685,342,859,412,
334,603,369,402,982,208,306,456,924,745,490,267,635,121,816,229,032,376,742,
996,740,246,130,133,879,355,834,972,363,616,700,281,566,460,423,511,799,214,
179,147,844,437,977,632,872,362,990,497,391,740,910,345,846,124,687,078,907,
784,755,372,824,183,366,116,068,301,125,836,945,091,375,011,657,697,861,503,
594,774,535,044,209,184,270,302,389,528,436,701,844,606,900,496,480,991,839,
726,446,892,391,031,333,759,126,332,349,036,721,588,053,782,602,707,634,943,
710,071,628,094,996,462,817,889,904,686,662,097,242,973,809,039,436,768,428,
046,323,210,689,432,781,409,402,449,378,622,630,925,035,456,049,362,969,900,
686,594,910,043,775,909,169,208,361,574,806,396,565,235,867,020,570,330,149,
252,024,674,251,933,791,324,573,900,865,983,957,385,940,118,220,716,465,092,
653,640,993,404,939,502,604,207,856,182,024,710,629,776,025,866,383,277,145,
753,119,486,924,242,922,627,708,916,000,977,372,283,729,230,984,945,520,100,
823,531,644,101,125,904,643,384,831,107,480,774,927,240,700,868,042,363,222,
428,163,585,895,656,253,888,686,729,917,326,562,776,252,581,770,260,725,251,
647,397,892,661,719,552,406,080,927,950,030,363,499,770,806,790,035,360,842,
309,463,133,155,948,178,280,733,846,748,913,797,389,323,713,132,013,340,933,
303,273,544,440,572,975,801,401,339,522,025,516,373,589,878,502,966,163,065,
991,071,525,449,838,549,065,494,704,484,614,736,392,651,139,527,017,331,519,
000,181,991,403,039,604,547,737,874,359,495,364,236,628,110,850,313,691,541,
456,647,522,501,712,361,498,411,432,766,303,545,062,963,427,646,612,192,346,
308,249,884,942,560,758,210,484,944,373,060,558,420,962,913,183,026,932,291,
525,168,772,912,161,042,740,322,777,840,540,050,629,143,169,423,995,931,856,
095,354,026,844,921,999,801,879,074,731,244,010,839,809,759,698,205,507,101,
314,023,364,309,199,754,118,488,249,356,819,150,862,180,493,975,254,851,756,
092,128,517,277,666,147,320,704,676,391,039,228,327,005,755,489,374,342,324,
255,603,897,087,343,444,876,976,311,470,214,291,641,526,163,466,697,131,677,
410,662,154,256,270,738,832,873,532,372,284,675,755,267,926,407,705,039,739,
931,543,309,919,194,163,803,374,154,882,163,423,107,088,473,846,398,460,913,
548,945,512,076,187,709,039,357,661,443,393,006,713,962,198,334,207,951,912,
769,585,969,272,524,357,169,077,597,499,188,059,773,771,945,969,762,763,459,
872,322,949,905,904,034,985,829,155,116,030,135,470,535,910,551,155,389,234,
083,020,239,048,954,711,128,042,306,586,220,256,490,340,663,563,934,240,531,
714,670,136,208,726,070,297,663,475,026,719,166,092,736,935,809,525,598,333,
294,730,351,789,451,336,005,441,993,701,613,090,445,935,409,788,392,269,999,
978,538,717,218,879,405,025,486,163,122,297,434,876,042,989,271,878,383,661,
179,898,844,768,686,262,829,631,531,955,947,858,306,802,700,733,147,912,218,
033,793,509,519,152,969,849,494,137,944,228,337,619,598,069,205,408,962,115,
819,373,138,524,466,412,585,781,030,095,658,998,042,498,454,037,467,856,116,
598,456,276,199,836,354,068,369,299,160,674,335,318,494,012,945,585,185,032,
005,961,350,889,514,233,706,660,029,793,377,252,543,135,421,520,641,915,627,
525,363,145,792,843,181,641,242,964,366,503,236,672,472,940,206,555,348,236,
579,792,449,763,188,162,577,576,254,893,590,846,499,467,173,605,298,594,505,
995,658,771,662,276,315,074,397,784,548,871,030,044,955,440,432,961,911,077,
914,534,827,314,836,487,528,740,940,408,493,734,125,022,538,389,508,976,606,
105,795,407,255,565,811,220,894,708,376,431,057,355,023,085,852,755,514,710,
995,697,374,621,077,094,956,803,164,385,333,509,481,383,626,089,380,722,816,
132,750,720,677,328,126,410,476,802,315,618,688,215,899,325,941,642,084,756,
760,390,626,830,461,884,936,581,812,970,337,119,231,179,043,977,896,169,435,
442,473,359,950,281,429,460,515,033,897,852,600,975,875,437,045,671,004,589,
498,041,620,739,252,787,852,639,871,595,369,849,310,618,791,658,564,973,587,
102,940,426,641,658,089,536,171,356,497,985,305,576,429,598,138,571,270,666,
545,678,200,504,140,544,632,611,974,080,747,123,116,976,046,997,520,486,661,
019,242,512,101,135,339,447,057,085,493,177,124,958,305,536,900,007,773,903,
880,894,488,479,419,161,616,812,988,997,507,704,006,215,683,548,871,689,216,
318,895,682,565,732,360,703,427,579,542,075,798,589,385,494,634,271,675,104,
370,522,933,084,129,714,397,495,756,156,209,534,182,542,401,539,622,719,490,
450,957,116,900,766,954,606,782,529,842,765,071,484,146,247,033,362,398,704,
505,390,122,632,171,274,811,318,176,779,589,864,697,226,001,693,898,593,845,
558,596,078,929,849,166,603,691,579,033,973,937,950,353,796,958,894,885,218,
562,769,076,282,175,300,055,867,026,225,465,332,036,322,578,206,574,725,048,
252,087,202,038,830,378,061,865,685,722,034,544,062,419,907,024,670,565,083,
336,183,091,636,244,006,508,328,627,394,527,546,473,421,417,466,974,805,306,
283,283,713,742,069,804,947,161,937,422,257,626,142,606,525,518,938,955,764,
986,121,385,403,703,091,595,493,097,104,519,035,811,550,139,568,326,184,823,
243,966,801,520,541,051,432,447,146,492,129,765,370,168,158,747,980,764,273,
912,746,682,750,473,244,102,713,941,282,593,290,084,910,866,143,109,929,432,
199,452,378,302,305,831,452,282,063,755,705,139,572,034,492,059,801,169,299,
524,038,212,429,812,327,692,712,414,030,613,862,464,276,728,580,594,221,224,
347,713,260,233,253,724,474,833,893,017,485,077,149,912,500,022,408,092,542,
104,663,426,361,688,268,157,072,123,357,206,301,934,988,473,199,454,571,857,
601,682,329,927,132,424,727,501,111,916,449,743,370,120,380,378,448,712,505,
981,533,158,651,604,361,021,512,822,047,707,484,504,108,385,697,669,759,186,
129,664,226,359,641,209,634,756,709,913,970,316,189,059,767,731,202,782,264,
872,597,488,093,377,122,460,282,764,058,056,570,465,524,007,296,038,374,943,
399,630,484,035,450,334,617,274,475,836,491,156,195,439,784,666,545,265,441,
168,171,595,581,264,493,708,085,513,563,845,115,855,191,699,399,304,746,580,
885,138,268,490,746,285,153,418,449,183,009,737,185,786,646,439,579,028,998,
970,334,161,137,249,301,178,639,901,754,303,452,326,478,035,252,860,567,160,
325,714,063,899,442,607,413,550,416,146,349,060,803,432,876,496,991,804,722,
505,104,292,387,113,872,372,403,645,949,513,588,230,853,319,880,004,979,495,
476,026,469,863,102,848,153,109,570,414,992,951,536,975,221,937,349,673,006,
079,194,953,973,650,709,169,909,942,190,226,247,582,924,171,790,018,308,748,
336,651,961,005,367,029,892,494,091,666,835,141,316,857,878,445,748,269,660,
372,946,841,396,208,429,569,857,443,553,589,733,049,546,660,841,091,345,922,
003,008,907,670,626,637,714,141,538,499,346,391,547,686,557,198,449,648,193,
135,511,758,565,614,607,471,662,815,237,466,803,070,356,203,991,211,078,635,
869,231,610,714,372,367,878,996,324,582,034,761,006,206,486,969,971,457,597,
572,968,370,113,759,782,300,231,893,918,211,148,729,948,353,934,182,646,138,
234,957,936,606,652,941,833,888,911,175,945,872,786,081,423,060,298,316,565,
539,704,896,924,373,951,742,584,412,590,946,320,058,114,413,482,118,580,916,
282,069,944,894,720,176,192,668,138,788,579,557,446,755,740,567,196,746,516,
287,480,507,681,669,972,499,159,343,695,396,031,292,354,032,177,717,869,273,
201,091,097,105,098,697,946,552,623,342,145,629,741,751,022,004,222,738,333,
479,682,380,829,943,955,253,386,185,519,179,193,506,932,284,831,515,539,444,
923,525,878,414,435,579,870,247,192,395,966,965,665,101,647,360,525,205,083,
849,131,141,357,334,165,722,178,561,086,826,577,728,203,520,850,228,931,700,
838,671,123,007,931,367,236,933,951,840,926,499,005,982,834,552,221,485,213,
445,502,848,623,709,003,182,245,867,319,866,079,344,512,785,377,472,820,892,
534,381,924,819,942,211,295,516,543,128,201,037,427,463,136,512,696,691,069,
507,813,590,158,427,903,482,562,919,280,508,619,624,270,599,983,442,350,489,
204,830,209,570,733,072,110,672,069,108,544,014,947,251,174,722,729,063,065,
658,576,761,845,861,276,914,997,187,552,233,421,198,200,767,108,292,288,596,
776,060,110,980,662,103,477,747,310,880,530,343,599,088,317,781,499,599,843,
520,489,053,266,744,669,608,629,347,054,633,761,719,885,437,688,271,762,736,
902,992,335,360,463,190,764,407,097,043,163,790,350,806,445,340,775,452,522,
873,578,879,597,699,884,225,210,569,514,145,254,708,633,368,930,350,237,657,
606,910,239,732,256,468,487,867,734,595,976,732,123,929,270,104,287,387,735,
653,114,848,141,912,643,304,416,333,005,992,374,791,381,182,551,279,806,868,
143,249,658,361,561,349,851,491,550,152,320,551,188,480,605,041,953,578,466,
825,296,467,020,499,846,408,927,530,843,867,242,498,444,440,801,475,444,728,
779,556,550,866,472,853,753,021,290,374,453,081,981,637,270,084,948,199,672,
129,596,981,596,971,082,239,961,497,784,868,061,046,648,802,545,270,975,301,
693,070,187,127,111,753,238,425,516,189,629,993,124,024,087,887,487,429,891,
013,000,889,473,698,039,462,556,454,811,076,625,680,101,844,071,925,042,340,
588,564,656,670,837,643,067,480,094,849,533,444,807,386,102,898,494,209,498,
347,265,620,480,079,526,095,564,026,775,846,135,864,118,633,265,437,065,191,
415,129,248,806,050,889,387,425,564,454,985,356,899,858,365,433,513,820,876,
652,322,703,102,721,663,547,775,352,000,536,172,500,523,885,575,046,303,313,
931,280,963,300,010,554,557,252,843,088,944,733,394,092,606,925,942,183,900,
842,865,289,763,049,769,557,204,286,133,222,731,875,918,994,508,746,557,569,
682,625,963,780,105,815,741,878,677,604,935,110,512,512,427,770,145,029,233,
397,807,599,823,599,362,131,812,406,279,846,147,828,539,047,736,550,399,583,
212,927,414,961,448,056,800,118,211,850,508,603,102,309,801,585,131,805,455,
319,477,851,335,117,241,109,644,034,058,713,953,022,519,787,133,794,078,868,
439,905,887,916,926,908,521,191,762,936,249,884,755,498,051,643,653,509,269,
490,853,528,296,812,806,093,976,552,906,551,963,097,276,559,469,612,739,374,
307,766,589,095,570,015,716,025,412,045,047,304,610,399,511,455,737,126,774,
424,208,884,430,914,078,436,975,879,004,769,812,791,745,028,013,539,239,718,
713,588,034,188,081,844,179,585,005,600,865,028,398,405,989,300,947,600,471,
738,547,110,040,305,594,300,012,347,721,835,959,916,947,547,075,526,678,418,
231,496,620,201,496,917,361,334,416,280,205,894,352,690,985,079,409,734,711,
686,082,296,314,485,948,328,541,733,898,186,096,487,613,060,621,540,389,705,
431,520,575,416,138,649,803,476,646,601,632,041,277,642,992,038,656,187,881,
904,828,733,348,151,872,466,295,008,076,265,798,126,370,257,651,333,715,620,
987,160,020,324,223,365,910,006,003,043,891,127,075,860,691,169,225,660,193,
434,348,465,206,106,392,917,247,724,935,993,285,368,558,110,180,563,672,848,
565,326,122,464,301,303,666,378,155,690,327,745,472,916,052,668,957,750,817,
316,957,368,237,679,039,469,655,907,264,596,662,839,204,138,460,067,793,172,
963,824,536,199,446,513,528,429,624,531,696,006,727,639,528,789,815,616,958,
631,925,513,731,547,448,797,248,977,974,313,465,548,780,021,277,517,404,543,
762,344,411,880,025,031,090,405,265,099,727,313,931,044,443,708,629,321,775,
366,892,764,012,057,210,175,108,376,131,002,387,267,740,261,227,779,708,601,
362,803,420,071,156,545,919,506,525,123,926,927,018,668,194,544,930,450,270,
040,590,262,211,521,795,031,922,384,313,214,518,533,773,798,527,930,008,033,
234,337,329,606,740,223,594,118,204,515,583,447,357,755,409,299,108,466,230,
601,180,504,819,586,670,557,304,897,605,014,367,958,599,593,570,692,929,150,
129,688,613,796,791,672,698,447,341,732,505,729,868,396,768,494,606,551,718,
094,951,913,848,355,230,254,456,585,534,064,401,565,735,560,815,481,361,579,
846,671,665,197,445,152,675,229,086,210,568,961,302,098,661,414,386,023,906,
964,542,698,529,049,017,800,708,284,891,243,693,120,120,353,682,748,090,126,
861,274,203,834,511,497,841,062,532,125,168,392,102,636,043,209,115,693,488,
941,567,444,429,456,998,357,392,034,820,812,597,950,978,983,232,170,731,306,
534,571,094,870,239,347,486,826,521,829,823,464,621,001,251,577,898,627,173,
526,748,364,924,259,832,654,632,293,324,116,179,738,611,503,121,316,333,755,
166,844,894,684,233,461,051,116,877,624,831,545,743,525,068,850,100,513,351,
824,768,427,874,902,877,066,762,893,576,108,015,874,625,228,229,134,625,936,
370,450,053,711,832,022,794,697,541,681,634,607,514,859,132,074,667,510,129,
153,726,666,646,835,270,293,277,791,728,043,922,793,572,261,415,944,894,182,
293,347,694,353,365,722,498,430,835,552,147,521,954,074,710,240,516,831,604,
009,590,715,355,995,078,427,240,506,943,149,447,314,605,560,666,213,359,061,
311,676,669,933,838,782,524,076,766,736,174,557,043,993,622,972,341,470,466,
250,257,245,626,345,272,420,539,917,146,873,669,311,753,050,768,822,742,351,
585,011,444,437,833,130,223,307,544,118,111,410,744,111,882,299,985,332,816,
107,704,296,548,248,194,779,944,692,442,451,641,082,596,423,597,847,463,639,
333,138,863,652,065,506,900,539,309,117,328,047,283,533,233,891,289,835,201,
578,439,321,932,958,729,862,106,567,304,109,918,522,607,730,560,565,504,811,
191,625,336,069,457,860,784,614,503,866,946,908,222,894,127,561,951,907,722,
246,544,811,282,932,353,776,614,650,596,447,910,987,872,364,716,411,399,719,
619,382,494,770,336,965,886,334,277,684,565,456,229,704,063,311,866,452,905,
063,950,190,769,561,142,812,709,128,709,863,963,359,633,042,758,614,048,070,
549,398,390,240,999,021,589,853,950,219,582,016,153,428,297,231,578,893,445,
851,685,072,516,418,441,661,109,679,031,210,859,982,802,632,490,791,290,798,
752,132,777,686,480,805,350,124,015,497,701,490,428,903,349,990,828,380,448,
506,082,368,621,188,553,218,772,002,489,414,413,143,044,288,456,164,318,676,
593,438,975,888,820,405,259,329,503,733,568,634,393,882,005,722,339,526,128,
563,432,780,399,896,111,172,056,410,369,115,418,464,069,199,480,168,820,957,
646,048,585,797,449,751,608,923,096,313,930,900,530,895,745,335,693,170,358,
127,936,621,891,604,358,670,460,059,692,583,984,880,649,760,477,011,289,475,
259,251,453,124,017,522,809,975,571,361,630,633,228,064,972,469,645,611,972,
464,158,082,894,611,640,756,238,232,689,463,162,684,627,423,361,479,258,936,
205,667,486,557,251,066,336,690,152,902,906,113,049,811,927,980,240,579,484,
128,197,349,909,164,068,106,521,178,158,946,032,913,524,748,195,262,890,739,
052,106,060,250,670,289,281,331,701,781,753,786,752,094,552,812,623,261,260,
955,379,161,930,521,098,657,876,784,076,325,269,038,819,759,405,180,854,605,
564,971,389,831,616,701,679,588,794,723,104,544,639,781,842,730,419,255,208,
208,693,287,332,071,505,471,664,983,736,281,556,844,048,863,256,949,215,289,
660,232,017,450,407,536,508,791,360,180,955,978,457,444,223,206,092,301,795,
836,032,333,323,823,223,034,612,321,424,130,487,933,116,822,915,281,835,488,
393,817,958,758,236,899,983,030,319,523,478,873,288,767,517,239,034,193,684,
886,921,995,411,240,354,371,322,623,691,681,256,200,105,462,429,693,513,102,
345,879,359,534,422,676,111,429,472,800,146,925,604,409,638,710,787,038,856,
010,583,979,317,353,338,742,143,916,631,261,658,322,215,684,482,358,689,653,
552,161,826,551,785,665,377,845,642,459,126,182,143,181,455,487,129,753,834,
891,036,637,308,046,194,068,414,081,706,737,272,803,129,028,835,218,653,395,
698,134,737,055,289,090,489,399,179,703,121,259,204,196,113,034,575,672,447,
395,843,733,438,692,167,724,045,604,885,273,086,938,647,668,756,623,111,596,
612,740,334,948,054,067,382,665,050,018,703,894,071,267,014,562,327,492,856,
748,873,158,021,289,133,207,829,813,743,932,537,784,541,417,464,594,120,188,
724,337,053,091,022,189,444,497,117,884,224,272,629,505,306,125,703,352,020,
376,993,404,240,913,994,548,028,208,990,667,816,566,306,845,512,023,952,883,
374,006,600,163,484,768,369,586,214,536,768,485,425,404,317,495,202,479,845,
978,832,328,398,158,598,240,623,373,074,508,379,500,951,666,618,410,001,439,
717,511,370,305,431,768,542,930,737,500,714,149,870,364,676,652,247,273,685,
009,689,479,692,506,090,403,686,150,592,765,043,794,640,656,286,871,763,025,
017,452,202,594,186,297,750,655,081,482,512,918,182,807,693,367,875,763,915,
285,522,048,396,210,392,057,924,998,320,513,137,734,533,970,624,743,941,073,
864,086,329,606,403,210,291,416,957,721,258,465,945,254,021,502,180,721,705,
241,115,791,163,638,052,082,065,632,891,689,681,835,965,505,751,635,687,885,
041,373,575,499,936,445,397,177,703,109,061,737,614,555,694,525,587,577,558,
749,292,083,502,635,587,909,500,003,470,246,968,879,557,136,866,145,342,090,
152,822,044,993,058,852,767,963,672,950,911,308,101,667,104,540,212,008,724,
976,414,203,959,389,465,124,833,033,264,219,636,106,869,915,135,371,294,186,
825,923,467,547,199,591,692,981,252,186,126,152,032,500,926,362,042,700,513,
433,865,733,903,686,683,130,281,918,212,421,433,181,469,122,169,227,030,454,
034,130,629,435,580,708,472,090,207,314,602,040,899,951,436,194,395,915,315,
046,691,715,596,449,788,926,216,498,682,289,231,344,617,565,721,337,297,667,
621,577,135,572,298,918,894,559,987,650,748,879,022,463,893,541,309,997,497,
088,163,311,388,837,437,229,634,009,612,560,133,961,164,944,051,087,522,713,
966,362,059,982,443,082,670,182,778,361,892,395,010,548,143,805,127,325,418,
928,704,240,094,712,144,044,830,071,987,207,965,439,020,470,499,508,659,427,
802,232,848,774,593,214,209,362,895,636,290,797,304,607,148,244,210,191,537,
810,164,980,024,863,613,106,499,472,242,865,678,082,473,379,009,031,548,435,
758,740,859,991,437,445,252,360,783,828,852,965,355,028,582,029,045,100,685,
528,611,033,483,368,338,546,533,270,335,704,908,084,680,457,679,382,598,445,
259,475,019,007,503,506,915,756,202,167,405,153,438,242,076,832,390,189,976,
843,836,442,398,797,027,184,588,743,622,638,090,048,708,934,216,762,123,743,
549,519,480,132,147,949,356,149,643,089,743,844,641,384,409,296,884,890,155,
699,955,038,020,890,645,207,515,267,247,534,145,586,482,160,489,412,165,527,
207,153,455,718,182,794,206,116,190,837,438,391,392,300,128,033,646,550,666,
516,217,693,077,472,432,682,054,510,293,906,934,298,760,423,990,866,892,871,
703,685,567,860,716,540,155,082,435,872,324,635,572,882,620,090,969,681,337,
464,256,804,470,802,040,706,109,230,239,690,517,521,124,425,362,608,258,881,
983,244,189,658,040,158,586,816,076,137,692,242,141,778,479,310,838,621,321,
692,602,379,230,187,535,162,714,326,518,232,507,122,596,955,717,859,339,644,
736,181,718,499,546,665,668,335,485,570,486,958,267,073,800,585,656,096,918,
844,493,457,155,379,325,929,954,328,783,644,890,623,253,418,891,111,233,129,
327,509,133,000,806,400,297,007,849,290,785,294,972,957,129,788,281,200,492,
467,611,378,395,435,609,167,224,314,700,190,990,316,103,019,176,094,635,564,
985,225,927,946,998,608,042,130,251,816,963,990,891,303,526,454,305,847,613,
242,910,350,206,430,795,585,124,968,341,684,392,933,924,696,658,758,740,210,
155,932,310,107,226,197,573,067,026,572,207,728,252,709,882,753,634,366,932,
846,356,025,076,718,896,485,605,008,145,429,132,347,915,695,548,409,611,029,
665,791,848,516,154,946,664,255,825,835,810,418,348,807,812,643,526,953,675,
920,451,262,246,789,467,845,246,076,726,274,647,430,716,361,305,771,549,731,
553,044,356,880,111,131,849,980,252,166,647,083,460,837,609,339,042,030,663,
661,584,055,527,236,511,240,758,947,127,188,837,395,762,405,479,196,884,485,
765,710,841,662,372,804,780,892,474,099,754,478,248,237,548,902,203,729,965,
645,310,581,576,576,735,951,971,818,617,935,063,583,766,031,422,134,262,405,
929,502,230,001,017,849,885,455,936,360,261,899,492,678,926,330,645,650,884,
397,713,686,100,409,956,168,881,732,202,616,506,737,190,543,615,618,517,580,
786,607,045,619,105,530,059,831,895,842,792,088,987,574,834,262,489,226,662,
566,956,847,056,698,599,258,572,149,951,247,020,205,514,483,261,099,626,475,
481,880,156,153,131,087,337,268,354,142,444,670,222,879,322,300,346,714,064,
869,045,132,566,286,463,924,579,314,898,302,350,060,449,966,045,746,795,296,
883,718,192,551,160,486,267,178,264,738,540,051,773,131,862,261,141,641,350,
619,334,551,001,583,084,629,021,029,349,297,489,325,055,044,251,379,018,408,
514,661,622,956,644,107,446,749,053,213,645,412,755,765,056,457,567,740,930,
824,617,815,518,095,844,688,997,542,067,773,693,116,983,024,612,283,633,289,
720,457,176,824,538,174,273,434,262,925,637,048,202,786,125,799,264,083,382,
355,492,896,639,747,865,146,614,418,211,206,484,210,678,240,330,547,782,214,
052,164,364,134,216,770,301,282,355,474,237,197,239,726,919,347,141,983,757,
834,863,154,292,109,091,117,118,951,576,977,081,031,868,912,541,901,168,431,
844,821,642,596,870,170,968,635,933,165,742,555,219,060,945,597,341,130,595,
799,151,532,136,738,170,744,822,499,285,369,886,831,920,656,117,371,742,714,
544,827,434,869,866,299,836,288,810,164,402,325,859,549,452,818,897,176,199,
164,152,355,505,917,848,059,327,025,798,390,655,115,431,065,328,890,680,061,
644,461,765,141,930,606,793,631,305,999,222,047,015,860,009,395,317,405,027,
372,397,340,215,597,573,587,172,149,143,175,713,248,237,515,572,308,140,695,
680,925,437,002,334,257,560,075,106,445,557,557,367,658,362,082,942,362,969,
297,273,931,778,148,517,028,050,278,695,379,941,750,243,373,774,809,183,800,
557,502,116,674,844,780,221,282,020,031,570,910,912,249,543,001,671,381,640,
849,969,786,144,260,240,007,538,259,308,237,189,466,700,746,309,174,187,335,
465,235,447,596,667,291,235,264,000,031,879,885,384,837,804,085,864,475,080,
436,204,469,865,806,261,160,967,607,989,672,296,383,010,972,010,081,189,012,
144,391,181,963,451,604,413,616,924,798,777,092,493,230,947,290,297,559,437,
595,914,293,253,803,968,799,857,238,463,897,136,615,615,332,848,682,799,423,
506,215,685,827,018,987,600,821,768,649,909,545,911,070,881,713,900,904,557,
034,630,014,272,631,519,050,889,721,805,018,734,902,743,490,747,730,145,284,
171,810,500,881,337,983,728,181,202,268,213,631,658,234,148,695,270,598,336,
806,938,288,923,290,894,974,541,553,652,614,125,827,462,570,522,761,789,442,
164,310,527,741,695,021,853,624,836,537,900,243,709,185,587,468,713,485,399,
790,250,620,601,415,930,774,420,166,912,757,236,140,628,963,267,799,112,406,
488,415,080,153,373,446,736,463,550,896,178,029,119,752,863,697,406,382,036,
233,533,253,367,484,055,693,555,307,726,544,947,204,891,286,428,111,067,667,
071,605,995,125,160,689,340,202,339,662,543,538,695,783,098,306,083,979,044,
427,410,105,884,455,176,463,326,665,817,661,408,778,060,171,495,237,017,006,
337,660,541,739,167,057,970,492,082,514,737,984,719,830,874,724,225,747,495,
564,542,360,691,572,226,767,342,670,332,652,243,230,920,608,689,453,682,889,
579,381,001,518,348,861,844,640,091,804,563,724,461,994,325,469,854,089,463,
103,818,128,651,191,111,693,377,017,625,225,881,823,826,577,227,207,919,091,
005,075,356,757,927,232,981,943,498,394,958,877,735,477,031,562,160,596,133,
801,889,687,331,424,755,761,520,881,280,824,192,773,243,348,666,486,919,663,
599,448,169,086,820,051,042,973,302,069,339,278,681,022,799,161,687,921,039,
264,502,264,525,610,722,447,266,124,199,335,655,140,371,595,935,024,391,445,
992,069,630,657,915,758,365,021,012,459,192,542,359,012,233,920,577,293,583,
353,504,207,759,344,174,299,633,768,237,803,560,081,386,613,816,263,734,638,
312,865,679,137,528,611,655,579,557,276,639,379,776,394,412,681,441,495,420,
111,756,111,275,175,533,949,634,014,900,538,336,922,114,064,666,786,315,643,
053,125,228,726,466,526,071,225,080,156,383,636,864,718,243,657,616,753,162,
511,423,751,541,407,980,918,897,754,379,824,695,554,946,536,614,906,792,312,
613,105,025,809,566,691,293,019,361,139,300,674,763,673,423,192,219,349,142,
240,581,271,851,439,642,583,764,126,201,473,990,716,150,790,935,808,130,494,
554,556,070,000,207,890,295,886,094,277,595,273,243,265,932,840,393,995,698,
127,001,666,631,721,474,180,707,488,770,843,012,266,800,011,216,560,478,834,
113,526,219,357,365,121,735,719,464,163,579,996,365,613,685,059,584,902,360,
328,093,240,812,441,588,968,615,584,643,754,986,548,046,670,448,701,426,429,
505,650,430,417,400,382,801,666,121,069,440,019,308,038,447,135,814,501,476,
196,089,216,093,662,561,481,883,889,245,635,115,976,628,945,632,548,133,865,
399,285,086,166,740,204,436,689,753,192,529,746,168,941,140,482,702,153,423,
880,075,613,981,092,176,893,005,207,830,068,276,000,846,310,731,774,089,826,
604,241,512,749,860,890,542,277,586,743,105,073,368,210,961,926,500,586,688,
481,484,780,457,320,190,759,487,101,551,157,130,655,507,088,498,593,818,343,
424,389,228,864,626,980,134,722,834,722,620,622,902,131,719,651,314,816,355,
222,027,407,434,719,364,079,171,950,183,494,072,431,186,849,356,245,669,729,
274,257,403,743,142,408,569,068,906,796,691,575,761,859,223,497,136,994,196,
033,778,723,370,304,272,430,315,710,375,279,103,250,686,559,424,049,311,388,
412,624,337,480,351,660,130,745,367,708,596,028,173,891,921,238,617,221,019,
702,098,527,577,715,325,896,854,596,700,257,146,450,355,323,530,879,558,271,
477,348,039,238,600,392,143,453,702,692,574,087,793,514,397,309,523,061,586,
728,715,017,237,794,438,681,215,418,329,242,958,234,681,538,595,893,573,650,
690,225,892,522,465,471,186,193,283,445,709,360,096,280,398,097,892,328,101,
827,817,775,533,779,324,700,452,209,940,277,980,778,160,495,417,874,727,235,
227,963,428,441,266,763,548,058,796,004,508,161,080,146,624,546,999,794,520,
489,276,356,879,602,934,375,859,147,092,362,173,169,986,673,963,012,384,586,
568,140,132,043,609,325,824,097,467,717,084,019,536,615,910,611,762,486,570,
618,324,155,651,343,919,035,750,146,207,692,317,429,439,556,124,763,569,421,
387,446,641,033,535,653,853,212,290,475,510,678,403,827,710,249,366,038,655,
408,743,740,608,912,153,652,179,145,896,630,139,179,378,919,228,015,919,023,
049,998,875,997,982,299,407,977,123,122,087,839,129,126,030,772,534,064,409,
001,320,914,198,453,453,967,994,818,936,742,584,244,214,799,495,849,575,423,
357,182,110,233,340,932,521,084,221,181,994,061,937,275,815,271,163,948,573,
998,807,859,187,453,246,283,329,635,044,133,482,762,124,896,496,028,711,903,
242,636,041,382,229,938,096,851,448,818,137,783,645,750,356,211,180,859,356,
084,408,292,221,777,091,330,204,825,419,723,531,244,417,790,085,879,740,956,
748,893,761,621,760,661,864,342,472,261,520,122,626,527,509,986,484,699,506,
173,845,325,720,215,395,922,056,101,457,708,519,196,452,156,399,757,742,779,
486,153,687,112,793,843,440,981,432,918,994,337,942,559,510,771,614,322,664,
883,357,068,504,854,270,536,840,514,043,630,981,827,226,053,399,107,056,999,
645,100,936,243,157,413,992,559,846,165,464,120,476,479,110,919,903,603,869,
288,435,761,753,439,002,444,833,418,726,380,486,131,615,596,472,510,025,325,
003,485,040,668,260,403,514,265,444,583,476,524,931,472,115,082,974,874,421,
351,047,974,373,500,405,739,561,191,530,628,604,426,690,560,163,263,436,762,
977,648,635,684,334,643,864,240,436,639,932,011,099,852,744,673,745,612,622,
657,085,210,829,582,521,938,400,633,075,553,488,996,621,466,240,520,672,246,
448,331,396,901,313,239,602,232,656,659,378,757,682,101,649,867,840,542,703,
732,381,866,305,614,674,287,706,298,264,998,213,020,104,803,396,122,239,447,
562,641,656,034,310,797,224,619,120,926,180,027,092,420,236,410,291,834,511,
388,157,857,230,490,324,795,070,038,479,332,188,098,892,734,801,813,075,352,
775,788,040,303,362,596,379,094,783,932,045,506,509,251,578,365,894,276,709,
956,390,021,303,433,887,574,299,258,763,382,250,145,290,413,667,815,736,935,
385,817,839,078,875,092,366,996,827,213,633,019,843,465,877,060,628,221,585,
972,685,193,848,606,073,355,438,051,044,625,107,430,423,841,182,399,329,248,
305,477,773,399,521,784,094,777,234,169,846,319,205,832,732,734,561,093,823,
232,341,421,830,264,901,621,514,597,620,776,569,790,995,050,483,110,359,516,
191,998,281,404,535,301,722,811,511,428,135,774,604,929,334,979,859,986,528,
433,283,048,665,869,425,355,198,738,485,744,495,466,914,333,357,878,995,707,
847,119,891,947,921,918,559,929,637,600,999,581,166,697,010,554,292,727,097,
467,947,506,376,286,494,786,712,265,523,026,165,582,152,632,850,869,122,669,
272,118,688,812,778,193,563,555,489,391,521,886,223,361,937,050,699,788,323,
311,266,841,440,270,617,900,683,784,996,007,406,542,116,985,764,846,113,836,
580,797,895,475,178,756,949,495,046,913,907,566,612,234,596,480,485,660,713,
384,551,725,215,734,394,542,741,634,623,935,076,095,948,316,089,741,300,317,
821,544,029,575,308,641,808,569,736,220,458,692,885,694,189,628,089,434,866,
822,016,209,760,298,789,050,496,171,577,715,522,225,982,613,903,814,156,605,
386,935,969,293,291,283,238,236,266,204,453,099,404,211,111,360,376,071,262,
163,340,893,624,806,554,610,270,202,553,506,122,022,009,321,346,362,474,342,
598,006,528,245,974,391,028,008,820,311,300,032,878,536,316,284,546,525,170,
091,879,417,847,723,831,313,151,287,577,260,262,061,668,916,633,274,937,258,
381,477,547,055,982,617,005,918,323,239,747,530,059,272,286,359,940,678,501,
862,653,780,278,271,849,718,210,869,878,182,092,160,292,927,309,890,714,953,
653,603,071,686,127,676,914,330,170,033,962,940,640,169,388,465,346,531,092,
766,865,766,464,498,416,292,602,144,130,750,972,661,682,030,018,380,152,125,
493,859,936,041,067,457,817,161,233,639,926,580,962,896,995,275,050,645,030,
404,101,769,314,885,181,112,174,773,611,010,477,180,694,810,904,978,668,529,
879,521,228,500,454,815,129,516,478,186,066,694,881,689,647,901,546,122,149,
292,974,406,995,872,774,268,791,245,385,303,562,597,231,935,318,215,778,979,
089,436,223,255,197,797,086,971,161,232,612,582,897,239,417,953,053,092,249,
611,251,493,771,155,036,610,724,915,132,192,795,437,105,896,386,004,971,648,
318,033,711,691,980,066,013,871,157,453,729,575,043,106,905,915,729,257,604,
197,696,420,848,349,073,703,788,172,837,170,452,082,963,559,442,680,310,993,
283,152,517,249,549,767,257,257,474,693,212,603,422,747,097,116,518,905,584,
233,986,778,561,912,908,377,497,389,888,192,525,985,125,420,773,755,237,976,
670,583,542,974,348,496,958,783,660,520,395,470,184,322,389,035,176,826,286,
474,236,739,098,227,442,287,215,774,450,792,523,206,664,827,632,232,624,019,
057,215,629,355,418,221,038,159,842,968,682,300,226,796,299,166,808,297,757,
385,821,725,655,744,561,977,512,646,367,774,211,732,905,146,739,566,395,216,
205,214,173,615,168,805,460,763,604,483,351,513,358,224,342,120,863,658,624,
919,040,639,399,073,733,282,752,584,296,158,864,177,658,628,271,818,241,831,
308,669,723,071,652,866,043,552,184,555,763,504,615,285,858,474,010,046,888,
273,264,806,313,137,875,464,199,846,968,155,556,264,379,383,183,002,100,429,
046,104,844,490,674,084,691,809,175,849,569,886,743,991,117,430,040,432,356,
786,597,514,729,558,351,542,010,762,395,324,141,962,971,471,914,833,609,562,
892,573,920,077,564,124,549,701,670,923,499,075,100,099,735,873,542,395,081,
902,367,740,651,137,094,077,588,675,221,523,310,450,625,600,812,980,169,194,
091,096,380,391,040,270,377,581,485,760,543,218,105,476,958,281,802,909,086,
649,323,112,652,621,765,442,659,981,475,708,299,670,748,323,127,435,207,346,
919,543,420,388,687,712,306,862,600,829,046,905,838,159,864,681,040,142,067,
714,316,496,715,265,296,903,650,733,341,526,368,719,305,868,904,703,143,601,
692,071,341,885,999,746,472,104,469,158,746,724,910,282,645,946,478,471,446,
349,436,666,988,298,874,388,651,968,749,413,318,180,319,871,190,973,130,875,
493,257,188,089,801,785,685,430,267,587,319,978,371,757,292,452,959,529,811,
656,551,422,718,557,861,566,642,779,928,127,763,514,711,307,528,955,375,019,
163,985,266,283,632,629,827,893,947,898,948,661,108,891,587,205,417,558,911,
578,476,154,464,304,014,927,185,646,776,949,761,554,394,979,209,808,048,097,
941,154,007,860,442,414,495,975,462,030,438,739,541,010,536,400,312,212,621,
305,553,244,414,145,789,828,665,115,403,500,950,682,084,555,734,321,193,096,
464,890,104,998,575,380,677,467,908,169,651,608,117,529,210,335,603,826,730,
691,874,174,484,070,841,847,609,402,916,873,715,351,913,656,713,885,200,136,
079,955,980,897,556,894,818,700,866,950,937,584,949,345,900,573,696,095,272,
016,266,115,248,623,187,183,304,720,918,826,127,600,043,243,055,031,244,352,
187,233,529,720,330,500,448,516,486,202,718,171,808,041,774,273,591,858,674,
630,336,726,503,920,690,349,565,752,730,247,696,161,248,623,801,651,968,508,
460,519,444,771,906,416,951,407,699,409,189,835,617,185,025,952,677,923,110,
806,713,825,879,404,043,155,346,497,522,324,364,089,018,260,041,055,984,338,
865,485,064,461,288,353,376,911,728,712,806,932,836,674,435,819,388,242,515,
806,188,460,937,600,533,213,397,314,265,654,388,463,738,883,312,664,960,253,
208,076,312,270,361,786,752,084,680,604,006,324,681,788,034,262,649,771,722,
600,944,010,073,366,873,020,179,948,759,847,421,158,776,685,636,541,354,238,
831,490,359,459,022,378,294,961,596,498,438,074,178,290,797,874,169,949,339,
292,377,193,126,334,466,016,055,986,360,593,514,488,479,927,672,696,153,913,
312,547,499,701,565,215,851,669,931,421,373,802,883,344,100,944,474,833,959,
019,579,506,373,671,496,612,661,606,179,360,344,673,207,323,819,527,395,412,
182,428,765,197,857,823,293,217,272,465,895,309,036,197,913,278,144,340,608,
107,356,250,996,045,234,980,530,236,413,287,557,735,761,694,072,049,425,315,
904,147,969,806,102,477,576,359,056,865,065,082,039,360,645,630,361,645,781,
710,973,625,525,665,996,390,361,899,120,925,216,915,649,095,132,570,550,544,
798,763,158,015,177,530,932,216,867,412,142,143,171,565,905,165,179,150,875,
386,961,072,429,224,120,765,341,322,739,328,018,042,667,726,406,038,809,003,
874,745,332,991,466,821,455,840,130,848,007,955,747,136,310,729,273,248,973,
949,716,020,812,985,826,454,058,522,230,381,892,006,566,877,000,634,641,540,
099,235,811,252,721,015,864,262,268,849,292,454,273,144,958,496,227,419,608,
082,012,263,195,765,179,683,524,302,488,499,749,286,132,896,253,147,336,074,
217,640,401,516,364,550,550,610,743,923,746,540,934,841,414,890,495,480,807,
363,065,072,454,534,302,889,675,146,735,559,275,041,782,557,355,956,344,981,
545,069,926,282,729,156,770,730,854,433,598,643,439,242,417,831,641,568,502,
331,143,474,661,446,856,716,585,035,603,763,031,600,551,278,379,193,338,608,
139,554,239,912,352,406,417,854,415,255,791,910,620,277,777,039,380,289,789,
856,758,299,093,865,865,187,372,074,053,335,344,741,640,186,361,659,313,648,
771,889,984,583,887,619,282,598,157,447,212,080,210,921,084,472,178,854,364,
727,639,989,490,631,520,311,292,646,825,771,365,306,005,202,915,245,332,574,
912,846,875,523,454,210,382,928,482,664,677,992,700,898,865,163,777,300,638,
790,251,196,939,776,170,156,434,591,442,515,810,472,141,097,600,920,491,294,
314,017,453,951,828,504,726,745,872,589,840,300,525,839,833,869,815,575,001,
859,471,099,931,744,537,478,882,607,133,867,722,065,703,516,234,584,916,139,
481,682,979,334,113,143,335,472,494,711,276,021,635,032,246,278,736,332,916,
478,011,694,405,556,236,298,727,196,748,461,829,544,638,611,819,969,686,811,
644,508,696,390,364,252,176,125,772,742,816,808,593,413,101,873,317,756,668,
630,141,119,475,641,910,241,373,854,622,282,854,203,400,164,977,998,695,928,
467,121,731,675,724,431,563,966,002,661,253,800,299,021,334,304,971,767,279,
316,556,562,078,054,449,058,602,556,626,632,447,518,287,042,037,836,001,450,
629,598,589,249,888,362,672,931,243,628,646,708,440,084,845,567,750,534,006,
186,855,666,166,563,881,910,901,564,713,694,364,685,891,604,027,802,558,722,
597,441,786,771,668,675,717,316,139,057,569,492,762,628,291,141,451,128,128,
373,116,643,608,956,160,612,697,370,172,278,021,171,895,632,921,884,476,438,
897,201,211,660,435,655,305,021,694,229,278,002,173,341,659,418,107,011,902,
457,919,818,364,222,617,401,909,806,874,531,738,697,509,854,204,149,916,266,
338,404,955,815,692,932,329,606,208,882,534,469,032,474,767,980,005,052,703,
706,664,523,326,056,691,814,688,595,341,830,837,069,371,487,795,946,401,698,
111,054,847,354,773,535,499,466,274,078,119,188,835,808,826,106,314,503,970,
764,044,118,313,030,503,942,285,760,999,080,482,215,246,353,100,986,470,266,
746,025,962,567,669,708,136,324,676,118,729,016,482,596,494,506,628,565,073,
352,702,261,066,953,510,770,228,602,518,485,623,330,078,998,624,828,599,177,
734,874,976,372,756,864,052,665,775,096,307,962,613,483,013,336,808,073,028,
087,320,997,497,779,736,010,479,550,459,664,217,797,041,697,295,883,890,760,
852,002,926,778,998,859,843,825,500,893,465,955,696,566,792,946,833,545,448,
594,560,452,890,537,956,646,096,636,736,311,681,177,774,949,474,229,788,401,
963,416,167,190,851,846,392,683,167,238,181,447,251,845,659,204,607,616,753,
027,547,082,911,802,439,870,924,258,847,279,204,692,430,351,748,848,088,070,
105,582,335,940,284,324,862,552,464,634,370,959,568,278,664,837,764,702,576,
121,854,615,499,964,300,798,264,538,832,383,297,962,616,728,891,464,620,166,
015,255,891,532,565,089,600,726,470,561,363,684,527,789,831,177,217,813,478,
343,587,425,625,693,421,241,984,717,126,577,734,370,413,459,701,325,477,737,
327,333,360,692,483,957,322,652,664,115,650,770,794,849,767,090,423,118,574,
363,934,556,536,632,286,684,582,103,184,242,025,328,896,218,837,834,227,778,
836,511,207,882,705,921,489,771,306,463,770,546,335,139,041,061,910,192,553,
676,386,961,086,903,649,769,365,571,844,252,615,134,729,705,640,743,400,175,
607,583,773,571,200,743,125,103,250,200,007,476,999,720,591,459,842,869,014,
285,839,933,396,202,328,203,600,467,061,914,533,254,422,633,332,952,827,415,
098,595,191,739,839,944,276,354,986,602,202,223,858,613,365,672,063,053,767,
535,995,785,229,935,986,199,584,951,635,950,068,473,405,779,484,726,340,525,
191,429,980,066,858,725,444,706,483,667,581,117,978,615,249,370,560,354,973,
077,739,413,289,688,539,186,934,081,057,156,848,179,577,277,944,195,577,797,
441,652,058,859,875,323,302,871,101,601,953,590,033,690,868,440,407,963,228,
026,026,193,815,794,143,352,001,294,626,931,693,889,321,161,116,033,064,353,
977,286,418,438,443,923,164,565,455,456,647,263,488,450,657,446,091,552,595,
142,115,411,910,895,593,562,953,065,519,631,804,769,670,942,171,251,284,118,
564,000,131,756,276,528,306,840,232,362,422,372,967,662,563,659,332,884,850,
290,994,981,383,799,852,666,883,346,217,707,829,515,765,266,163,479,826,070,
584,680,655,395,732,495,415,961,142,554,348,532,437,404,543,363,799,230,483,
038,306,634,181,629,972,009,436,309,404,397,305,801,028,689,916,369,664,795,
226,631,964,513,018,966,954,566,909,879,188,149,508,898,010,592,859,255,565,
537,334,962,235,853,776,694,140,235,750,747,933,531,048,724,631,723,282,221,
285,528,348,362,795,989,422,805,897,248,634,310,749,192,700,705,747,069,603,
436,534,380,282,964,801,025,327,506,661,087,076,672,950,634,303,831,313,817,
201,361,433,260,134,145,828,663,853,062,600,596,700,331,645,532,824,362,714,
463,778,719,720,896,048,315,400,487,396,093,467,340,383,700,613,913,138,160,
454,815,925,281,532,297,888,309,466,721,763,904,000,708,140,812,240,437,095,
703,363,870,804,169,361,869,445,023,748,813,419,089,124,844,641,959,869,608,
003,875,017,798,699,779,023,390,422,105,859,496,612,856,839,854,580,209,926,
422,637,195,426,645,138,592,980,712,303,636,630,750,518,521,303,805,599,102,
327,534,725,945,753,204,551,426,426,493,506,258,687,689,486,378,772,429,839,
219,046,235,266,148,932,384,492,728,258,336,224,322,484,525,839,865,933,045,
048,881,680,364,299,882,837,136,797,983,232,749,039,359,758,512,546,625,891,
486,198,274,388,887,968,535,646,171,236,377,149,370,310,551,250,396,718,101,
576,346,880,909,083,181,221,929,047,392,176,881,522,498,458,237,393,819,415,
313,916,365,754,076,103,316,195,517,856,999,891,553,576,728,903,194,052,987,
012,854,702,610,040,597,325,069,875,450,134,816,808,028,669,131,878,348,786,
085,199,679,103,670,639,022,118,134,373,076,103,629,503,281,964,329,364,246,
907,496,445,690,140,194,029,369,277,144,093,560,651,681,996,382,874,725,053,
602,640,882,930,327,146,275,790,619,218,822,550,588,583,090,533,938,356,949,
712,460,517,077,442,888,393,057,709,152,043,075,287,539,857,873,345,433,496,
924,396,688,297,704,282,597,158,710,468,130,730,572,535,212,655,283,334,890,
981,674,837,619,733,555,715,723,048,008,294,437,074,235,237,250,728,839,681,
546,429,254,963,171,194,547,293,312,737,661,636,368,402,594,285,182,211,913,
618,876,071,635,589,910,349,174,169,621,826,402,033,399,461,694,138,039,967,
769,748,955,564,631,626,652,460,296,956,113,296,702,194,355,328,063,248,112,
016,642,237,146,364,154,488,690,490,887,449,413,058,980,513,764,764,130,952,
232,544,922,902,273,755,516,045,748,028,130,848,916,235,597,053,678,727,092,
105,703,963,560,703,478,351,842,039,039,912,608,070,526,596,738,303,469,544,
430,980,507,039,107,581,820,841,252,696,976,769,929,838,486,666,281,178,677,
000,024,575,136,801,981,326,852,465,860,473,941,765,601,712,631,553,739,271,
393,149,261,035,995,061,450,068,531,632,644,727,774,676,094,671,775,912,356,
092,497,467,560,444,735,502,945,334,608,578,346,860,648,951,758,067,554,957,
060,558,830,641,356,553,447,945,785,897,170,525,626,440,917,519,359,855,192,
949,399,595,644,409,937,841,486,116,603,545,385,430,820,744,713,280,838,025,
625,372,607,134,245,057,236,015,227,479,144,378,978,366,963,530,545,263,880,
385,582,429,117,464,079,689,544,903,906,813,722,536,235,412,856,305,904,093,
487,948,841,659,349,065,077,171,275,443,812,299,893,010,500,828,618,731,376,
273,189,504,675,470,144,739,012,136,104,206,684,476,085,555,739,865,458,293,
749,393,546,044,000,655,936,895,129,982,434,257,192,688,913,308,405,613,187,
269,908,841,283,737,310,621,472,223,324,684,563,182,515,564,565,150,685,145,
374,512,870,886,792,329,410,366,151,264,983,605,162,079,147,776,544,551,188,
016,200,615,128,560,385,194,971,252,590,653,237,485,922,596,293,880,168,132,
316,244,646,875,974,593,166,474,021,883,634,492,079,163,997,470,776,655,813,
932,876,741,669,419,356,378,572,271,320,581,107,812,308,195,722,012,132,931,
518,950,249,665,632,380,623,149,131,678,606,413,695,758,800,136,828,659,757,
281,865,192,648,416,062,909,088,809,237,734,564,266,149,652,363,767,976,948,
604,186,911,407,047,591,073,068,750,774,934,493,428,790,503,532,736,257,160,
475,730,974,748,561,859,930,806,861,799,726,756,224,641,185,399,162,607,263,
878,614,095,210,605,976,399,586,419,798,568,646,069,809,723,048,954,461,509,
287,176,937,441,596,144,639,937,723,821,690,623,761,537,582,161,376,657,480,
077,254,229,435,456,245,962,534,732,556,868,139,589,275,758,979,536,095,740,
156,906,919,632,921,452,558,338,360,157,948,224,344,450,400,038,439,453,349,
127,995,929,039,511,399,318,146,663,001,542,408,922,909,040,298,820,607,775,
124,431,096,462,155,094,435,290,197,917,885,152,656,749,985,050,575,701,288,
783,251,862,517,454,735,878,668,196,844,137,783,709,959,110,662,401,975,356,
314,766,022,933,428,251,311,257,657,714,151,893,200,686,861,456,543,281,495,
197,946,821,374,241,191,264,960,674,415,055,135,906,740,916,360,542,706,851,
044,740,064,446,907,933,383,783,813,724,608,840,924,249,494,687,197,712,074,
208,262,724,855,419,344,498,772,294,555,816,810,865,516,893,389,874,554,915,
696,308,008,972,136,687,304,888,046,393,215,750,290,833,757,040,345,797,318,
619,725,200,935,722,788,211,708,189,387,491,803,786,945,203,748,392,679,962,
266,706,224,367,454,359,799,781,362,484,273,367,340,659,040,988,147,811,979,
515,570,329,743,308,764,456,676,063,226,442,525,442,579,258,461,692,660,981,
712,564,505,056,857,950,802,618,925,181,317,333,445,866,086,723,582,192,515,
526,787,576,330,960,177,584,409,544,132,561,334,732,300,094,532,911,222,738,
865,841,821,556,616,330,281,520,571,754,067,387,734,284,531,468,842,928,275,
280,197,778,975,484,973,960,216,371,479,464,424,425,088,387,389,426,510,270,
377,252,732,382,284,453,626,412,037,997,327,328,595,515,478,105,644,208,908,
499,795,174,992,616,574,821,743,153,046,406,737,284,029,006,076,471,548,433,
106,178,459,536,131,382,609,062,243,669,864,286,195,088,414,722,912,538,989,
331,219,695,136,434,439,676,259,734,689,995,033,723,353,892,695,843,645,074,
269,935,755,576,281,866,122,736,056,205,098,852,251,712,107,328,044,131,559,
106,068,608,905,909,884,505,536,459,209,998,062,413,359,891,292,589,681,236,
061,469,322,779,438,827,066,436,313,051,619,463,934,042,595,695,148,924,737,
459,558,075,410,113,472,072,774,011,307,324,198,782,861,199,077,374,908,310,
360,371,972,285,554,615,107,414,475,540,413,243,563,275,431,183,091,747,854,
956,804,420,210,865,464,795,032,631,580,929,610,550,728,235,972,271,900,921,
099,671,370,687,602,224,241,047,917,682,657,802,359,938,268,800,646,732,058,
903,726,684,767,866,587,702,189,841,977,437,142,950,188,166,012,907,972,976,
900,352,661,581,700,800,033,506,022,132,350,101,223,129,364,955,627,533,766,
577,219,068,123,104,896,954,464,841,031,359,905,613,709,049,055,936,678,385,
144,365,533,170,107,385,842,437,295,368,692,061,719,495,753,895,679,768,372,
922,135,326,481,372,954,772,258,020,872,475,568,489,040,169,189,032,638,217,
270,230,281,051,577,660,380,935,216,299,927,579,235,537,156,890,811,263,399,
438,844,597,363,507,280,303,233,154,826,560,432,069,740,079,208,564,223,997,
060,389,061,574,337,329,984,004,583,220,626,226,523,127,313,923,382,013,918,
061,515,878,561,581,893,783,645,834,370,172,240,561,725,226,476,221,765,541,
403,371,126,482,298,122,608,449,141,139,769,108,269,785,667,253,671,025,250,
347,194,256,497,271,574,519,621,749,871,251,976,552,667,545,951,170,459,054,
175,401,155,572,926,303,735,547,388,878,473,234,036,538,305,498,530,214,838,
939,567,558,885,672,552,034,931,070,872,240,227,055,063,910,886,700,375,888,
569,421,530,820,115,614,919,592,153,032,473,722,997,223,690,013,579,342,215,
184,653,921,680,530,126,605,268,830,659,396,086,257,143,149,382,487,645,319,
978,421,062,541,987,910,555,410,717,444,558,911,512,162,094,766,351,910,884,
065,192,004,486,171,244,560,339,163,770,208,681,954,456,133,282,387,405,655,
806,035,082,769,719,008,366,204,508,214,323,368,971,878,738,335,356,361,786,
104,300,504,393,402,637,878,912,793,510,893,678,216,359,738,466,892,502,701,
574,643,885,907,412,544,512,270,761,519,657,737,804,106,483,030,222,161,798,
044,898,916,764,607,953,244,741,540,296,762,510,216,592,845,452,130,155,843,
164,937,522,695,651,637,965,476,152,304,055,663,731,891,660,795,259,867,072,
568,368,397,621,852,288,630,020,892,295,481,730,789,315,383,143,256,679,093,
011,119,320,263,503,344,172,100,949,043,355,149,602,209,658,454,568,356,631,
529,969,370,407,111,918,352,631,976,460,924,947,814,972,168,773,969,427,240,
063,695,379,167,444,329,032,854,790,886,279,341,102,915,182,166,220,946,382,
665,619,458,543,475,360,673,840,127,268,335,568,239,332,287,104,199,550,133,
984,642,961,730,954,644,028,762,358,007,423,608,311,583,992,082,411,072,581,
921,185,550,394,530,316,315,297,279,797,832,055,977,093,148,567,604,938,979,
569,871,858,900,149,398,750,605,708,471,049,091,765,622,125,024,633,675,452,
825,665,874,282,166,084,954,080,600,397,320,929,575,374,841,635,071,863,408,
639,643,856,710,886,605,762,894,218,514,592,430,711,676,228,119,269,939,541,
095,223,972,104,554,688,009,304,327,969,344,284,647,550,590,741,574,355,080,
869,571,600,112,444,737,688,867,127,843,983,235,143,098,411,316,740,096,830,
904,377,150,776,723,847,985,241,471,686,946,614,883,304,794,045,579,359,436,
655,012,223,336,101,865,511,512,517,997,168,805,158,039,755,955,056,426,774,
122,126,891,627,859,643,006,628,479,021,224,214,909,184,695,209,539,329,645,
070,192,058,647,300,740,932,889,968,139,605,621,632,156,327,795,383,006,623,
398,178,699,076,001,456,120,892,349,885,582,190,491,948,704,495,618,028,373,
778,543,802,817,151,234,064,416,834,552,482,955,628,890,744,145,106,037,860,
953,494,870,452,972,393,089,045,583,537,965,969,948,208,488,032,131,005,686,
519,678,903,420,889,323,574,682,693,400,799,333,616,648,604,182,990,117,048,
289,967,228,749,739,902,230,454,863,822,492,889,573,244,344,491,153,956,735,
775,069,901,620,349,143,995,158,972,693,559,310,964,087,241,000,276,021,031,
078,060,077,585,142,677,046,301,103,790,294,020,989,848,285,338,247,525,658,
572,263,253,630,457,957,373,974,251,641,330,620,472,857,628,172,684,670,609,
977,203,226,584,350,456,714,345,905,900,372,452,963,656,029,783,913,057,932,
955,272,444,331,602,381,242,538,455,771,623,963,551,102,982,894,798,395,219,
191,880,055,289,145,491,582,436,091,461,697,460,047,407,419,306,705,745,713,
631,205,541,977,230,559,601,351,626,549,190,787,270,818,878,453,725,285,055,
992,844,785,083,937,809,708,132,418,802,393,149,038,475,892,000,688,272,068,
477,134,064,925,063,256,681,624,240,458,714,727,061,591,165,037,641,598,919,
507,802,119,094,528,618,904,396,008,763,301,463,581,428,260,265,861,778,754,
860,378,802,071,530,795,421,477,364,862,826,785,646,617,192,670,980,617,450,
261,209,985,882,074,866,624,703,161,831,518,371,985,654,932,617,034,557,117,
025,188,899,918,584,189,643,682,268,698,073,544,443,671,473,849,910,400,153,
990,427,799,035,069,366,390,230,967,704,170,773,700,040,062,572,920,774,326,
778,772,241,806,938,857,471,000,571,234,770,953,268,052,184,035,595,942,890,
240,161,818,144,620,835,877,135,155,286,601,046,963,117,393,521,337,391,797,
171,182,778,022,352,131,391,918,137,671,891,000,944,951,367,553,899,183,207,
158,143,647,442,698,116,418,490,765,663,877,243,113,697,284,876,798,829,125,
563,947,737,700,507,497,431,679,220,128,225,504,977,030,805,410,620,500,046,
730,336,662,224,447,945,922,311,061,327,047,294,499,155,449,596,991,597,169,
300,267,175,290,893,865,355,002,649,999,764,576,122,390,292,736,299,883,655,
412,300,581,984,186,693,864,127,781,577,355,412,930,734,510,031,287,867,773,
978,038,486,579,700,082,453,344,156,214,617,547,105,085,699,199,584,837,599,
498,343,668,794,759,530,617,933,335,646,946,329,245,921,548,562,793,444,220,
987,251,000,252,253,726,233,296,155,364,641,972,139,156,971,819,304,674,642,
285,152,144,097,993,971,749,645,463,723,637,640,343,229,424,256,046,649,369,
647,758,056,551,541,506,926,217,594,398,334,785,229,021,572,974,293,272,159,
916,734,234,005,794,511,267,498,572,432,118,979,651,974,931,456,810,739,606,
846,557,371,151,831,691,915,738,155,342,760,110,307,679,468,758,265,800,397,
320,993,431,899,275,906,896,787,110,965,467,784,655,637,732,238,893,183,122,
932,387,416,295,169,239,763,995,418,227,625,798,154,168,604,122,107,646,361,
718,535,293,560,011,874,346,111,291,019,103,197,851,563,757,565,122,146,062,
325,812,220,591,039,921,089,301,634,087,061,505,894,578,039,165,804,145,804,
258,598,318,847,402,050,384,811,491,049,465,491,628,108,052,085,763,931,573,
886,533,877,936,789,389,449,492,208,900,615,496,422,221,270,056,595,184,175,
174,450,991,180,044,776,410,952,688,082,200,866,949,095,551,870,079,856,455,
085,504,513,969,408,354,197,677,903,981,795,301,529,849,310,532,327,063,273,
242,707,661,448,708,552,798,115,508,620,855,547,778,253,306,167,146,937,327,
159,687,994,112,782,450,952,947,709,065,994,911,083,156,722,641,323,145,933,
792,630,484,880,170,235,179,177,021,606,366,362,859,183,731,624,284,789,925,
827,663,726,447,477,275,385,336,833,890,979,332,207,799,215,672,614,507,955,
485,206,849,936,624,712,805,233,618,655,293,695,361,190,742,452,786,881,497,
513,746,809,436,554,063,293,795,100,261,317,599,170,550,693,573,366,325,891,
729,907,515,623,845,644,665,412,513,074,386,281,303,291,603,138,948,259,453,
638,059,375,347,484,399,523,181,184,715,077,808,186,677,164,177,632,281,844,
923,992,208,138,315,740,664,136,294,337,494,340,130,272,652,313,297,674,351,
720,766,841,359,203,406,751,527,828,668,739,132,694,274,695,419,509,805,203,
912,131,636,120,882,597,603,321,559,001,115,567,412,787,048,437,657,093,040,
999,280,809,108,793,891,930,891,492,014,818,017,234,606,654,745,074,289,506,
853,017,053,653,822,069,446,813,327,268,546,924,491,300,461,435,703,921,046,
164,621,304,304,490,011,404,244,419,194,889,214,302,402,919,559,820,312,160,
262,414,893,054,086,223,786,966,866,244,975,161,832,853,518,863,788,185,588,
595,163,944,169,209,378,085,018,613,474,700,560,053,617,768,960,909,061,069,
206,656,732,772,812,863,332,694,780,535,521,996,081,251,935,245,567,877,967,
729,152,675,184,891,262,492,222,978,232,317,319,103,916,348,719,754,347,995,
736,863,144,631,877,942,644,014,286,113,704,605,571,550,623,535,249,256,615,
945,795,533,962,726,108,045,880,927,258,753,112,691,328,665,745,308,206,424,
642,547,138,688,260,210,103,801,689,935,980,147,637,046,654,902,506,280,504,
462,694,766,697,107,324,659,164,561,548,844,664,210,979,713,802,253,824,260,
081,777,318,922,673,904,757,207,784,931,505,971,206,084,046,486,835,278,454,
374,751,858,115,827,168,439,788,402,003,237,026,624,929,215,307,479,861,724,
223,738,299,267,433,258,750,774,843,096,305,967,198,363,275,295,695,464,417,
739,461,635,757,179,514,904,346,354,456,685,252,906,057,959,815,156,575,366,
025,625,755,266,026,598,025,278,367,783,354,720,877,324,921,793,330,569,449,
280,470,641,407,800,918,835,654,827,594,786,543,923,263,034,578,805,346,276,
302,739,844,202,308,746,444,284,751,292,732,390,024,201,452,847,163,617,291,
412,680,678,283,866,025,637,187,942,898,139,048,733,574,592,900,254,797,729,
355,091,983,682,417,813,710,917,108,400,014,308,681,834,098,377,786,428,439,
545,803,238,615,075,499,017,526,589,619,580,554,235,801,436,488,099,251,514,
991,732,232,258,396,975,520,733,698,721,323,171,796,099,737,310,874,435,578,
879,328,531,891,729,171,443,218,565,909,037,891,516,535,785,819,160,120,482,
283,357,371,479,979,378,130,693,659,735,970,817,194,236,959,527,502,810,179,
658,488,039,275,047,237,609,654,633,621,753,453,442,928,228,370,108,121,020,
767,422,883,976,513,174,588,174,080,095,678,402,049,172,251,942,048,060,292,
525,514,724,532,406,416,147,916,678,555,813,869,243,816,079,107,551,959,542,
399,540,315,565,971,039,325,124,463,461,458,449,571,680,864,640,386,119,554,
339,763,782,259,784,813,180,745,457,349,314,181,138,313,130,119,404,082,181,
576,489,555,287,715,852,558,855,754,495,842,497,495,614,765,821,646,033,340,
775,688,004,207,481,312,822,383,989,875,796,516,376,642,697,406,305,720,943,
284,318,918,428,452,198,733,030,614,970,042,587,506,887,621,002,908,746,152,
101,945,121,066,734,499,754,498,471,333,520,542,820,668,588,282,138,850,686,
646,369,796,416,479,215,721,188,157,484,882,344,842,979,362,446,069,664,785,
478,964,294,243,139,151,816,723,134,740,767,914,240,146,359,135,491,934,191,
511,090,577,491,934,036,107,688,960,450,671,924,404,020,828,689,574,429,953,
595,893,404,782,025,797,140,733,575,370,250,523,968,292,062,927,152,844,257,
771,997,026,305,892,978,339,088,425,869,181,279,654,447,848,150,475,380,176,
816,262,404,074,356,485,113,922,490,038,759,953,009,154,394,591,441,938,594,
445,151,550,005,054,862,879,784,461,284,242,546,309,006,823,880,980,985,990,
802,952,648,820,633,556,809,608,258,775,571,757,705,095,922,410,242,169,539,
199,893,958,090,974,062,444,719,702,283,687,079,372,172,901,701,853,006,679,
531,244,213,079,896,636,226,116,639,582,295,350,924,299,584,986,633,400,992,
727,519,789,442,895,981,867,420,943,808,853,647,440,036,469,907,994,415,203,
411,027,618,367,473,460,402,305,641,817,152,278,547,855,819,142,056,291,307,
037,631,329,027,537,754,740,414,359,058,255,468,675,099,598,137,377,888,625,
774,481,711,249,986,143,673,806,101,220,668,047,191,955,072,751,975,487,887,
449,463,205,539,992,240,566,730,891,275,519,396,098,421,130,048,046,444,868,
693,885,587,932,734,959,308,488,639,993,923,952,597,740,636,881,792,504,903,
638,993,730,782,497,674,032,224,724,759,347,863,346,758,756,251,509,411,025,
587,558,784,847,276,746,534,082,446,406,771,576,671,343,031,436,650,874,578,
760,491,392,669,433,582,061,072,557,869,070,036,073,006,771,945,769,869,669,
530,479,130,568,691,540,499,233,098,406,750,175,506,232,766,166,028,653,344,
479,143,609,863,691,797,797,904,664,795,610,489,924,405,440,262,727,324,453,
786,128,466,459,811,276,701,233,330,175,779,683,522,287,690,012,059,630,015,
295,042,621,328,159,384,540,359,770,357,587,843,757,864,370,239,580,357,645,
703,360,982,983,052,051,177,981,718,895,464,414,573,892,919,658,737,066,978,
012,277,805,574,128,432,050,781,535,418,723,670,524,415,166,214,661,886,527,
849,735,703,396,728,255,450,518,941,134,014,014,079,901,934,343,806,659,456,
843,029,647,297,273,701,696,609,480,149,722,540,834,798,946,731,654,412,672,
666,835,965,768,410,598,484,762,331,055,362,220,695,916,751,260,600,978,060,
518,531,007,746,590,054,000,290,119,621,548,165,804,363,161,361,392,648,442,
532,185,499,316,821,038,253,530,183,543,622,875,350,216,659,327,209,839,821,
728,856,711,578,996,055,365,619,470,939,582,554,735,138,006,147,786,541,275,
453,386,790,733,039,191,139,293,907,921,370,894,214,590,573,165,181,477,892,
684,379,251,057,571,497,714,809,784,794,525,179,318,756,273,156,620,296,299,
769,938,638,486,589,189,418,326,423,651,231,145,845,150,998,605,173,821,085,
284,252,698,779,024,607,166,157,156,993,563,352,706,481,418,482,489,848,495,
385,063,408,919,517,529,678,307,490,479,996,016,476,440,128,293,197,273,390,
919,102,973,369,034,907,004,966,530,093,371,517,631,875,493,357,498,527,652,
659,239,974,842,344,587,630,360,061,315,530,537,911,841,808,602,097,787,361,
603,130,640,736,854,892,832,729,789,487,757,464,253,256,132,355,451,317,923,
310,391,930,445,945,723,811,560,015,156,348,536,413,146,739,047,394,802,079,
368,870,794,719,856,892,131,740,446,679,144,202,877,528,836,391,734,118,253,
473,261,632,648,072,398,769,047,393,652,452,622,702,209,415,794,750,151,230,
095,517,789,831,947,166,341,304,968,416,767,061,779,095,884,755,966,441,296,
092,812,377,133,640,047,856,734,760,154,732,748,310,967,106,701,496,613,054,
275,212,089,551,343,140,639,513,036,998,677,966,923,358,748,632,771,447,404,
865,449,322,501,649,210,033,436,670,810,367,793,662,607,639,219,695,760,463,
978,677,587,103,688,230,218,517,161,109,187,563,858,168,597,066,170,243,349,
463,550,951,187,026,823,744,727,351,626,430,982,802,419,380,193,965,603,469,
945,453,867,594,540,011,134,639,810,339,564,264,599,251,661,149,896,276,264,
023,413,994,325,654,031,353,252,622,898,800,003,470,182,921,312,693,084,235,
408,538,518,135,225,711,737,921,533,788,552,254,938,479,601,952,521,585,667,
628,079,765,780,938,864,161,190,893,066,575,246,081,063,206,954,198,498,450,
585,122,929,986,938,453,914,408,470,590,160,374,351,701,652,569,740,856,254,
324,986,425,672,289,629,607,584,707,412,449,320,491,178,548,004,013,983,704,
043,842,386,113,273,733,398,661,522,282,866,079,245,693,189,067,946,586,189,
810,441,886,170,879,681,961,038,164,756,950,924,321,996,787,749,093,373,715,
619,919,401,148,125,986,493,764,643,788,565,969,625,431,311,112,336,777,262,
165,838,975,655,247,568,762,576,206,156,368,127,671,140,947,795,624,154,675,
264,417,657,472,339,101,820,330,905,400,881,527,334,931,917,242,115,603,744,
825,433,547,748,308,387,623,685,679,437,252,817,520,963,487,329,323,595,416,
008,351,491,494,431,471,286,590,976,752,159,550,995,209,061,652,647,322,287,
138,712,433,261,385,497,187,296,352,935,935,125,325,150,156,134,536,622,511,
960,844,513,074,633,761,372,282,889,368,641,236,082,886,671,176,901,440,933,
199,247,345,296,079,850,692,478,280,541,603,182,536,956,802,850,132,817,048,
694,261,601,011,137,476,516,801,876,958,803,680,828,715,126,926,643,875,938,
945,646,766,330,397,553,097,695,609,219,350,920,042,141,543,865,079,682,824,
254,203,120,230,061,689,287,632,865,864,003,094,951,668,051,539,035,004,812,
830,309,630,324,706,465,599,764,965,723,039,514,819,713,463,503,239,724,644,
453,106,786,416,759,036,101,730,626,415,365,188,245,776,472,010,192,355,488,
248,988,519,416,236,476,317,924,506,142,147,724,238,161,700,192,192,158,120,
080,618,716,068,271,959,283,122,153,151,801,213,932,188,310,615,331,034,271,
407,494,781,966,684,619,343,726,703,711,781,745,945,987,139,881,085,319,786,
161,779,814,677,530,973,646,613,199,037,642,285,860,247,929,102,229,180,316,
885,629,443,839,791,006,115,162,828,037,559,367,845,967,038,849,924,909,956,
185,321,429,938,281,254,018,469,851,169,568,673,868,946,932,118,423,530,250,
491,885,161,437,442,946,263,648,582,150,541,471,227,482,508,487,744,929,802,
007,132,443,700,582,823,364,226,340,168,128,932,113,368,122,695,459,164,907,
410,529,162,695,248,465,835,611,376,382,434,823,555,765,310,277,252,878,840,
367,216,644,309,753,802,546,632,698,816,993,131,991,460,995,404,007,529,482,
519,460,637,717,430,190,451,181,105,064,028,273,286,945,700,795,259,471,004,
232,691,479,472,858,225,908,977,296,332,951,164,548,106,292,244,052,160,964,
706,531,873,852,376,573,501,509,197,145,435,931,008,271,413,814,721,557,148,
245,237,311,509,779,327,979,749,806,102,412,283,430,522,750,213,901,172,407,
395,475,652,116,686,208,409,149,258,697,516,971,598,975,661,776,528,447,162,
908,204,591,662,993,010,752,230,770,526,758,372,573,853,764,484,023,576,669,
112,272,937,136,160,296,615,342,217,015,507,140,253,103,947,815,470,939,257,
193,294,991,819,912,274,271,914,013,733,362,817,419,307,912,873,553,928,414,
053,934,827,461,544,688,227,571,007,809,666,625,660,816,072,862,380,568,374,
332,341,537,568,954,229,812,684,812,618,276,379,456,648,127,958,584,148,751,
170,571,576,611,620,474,611,626,031,612,072,400,522,645,269,708,734,610,709,
102,693,819,281,655,496,585,115,155,550,347,409,419,736,361,720,938,187,880,
014,508,005,174,187,594,163,166,340,131,887,853,880,155,314,864,382,259,254,
810,848,315,091,397,450,490,304,579,503,016,358,508,539,080,293,047,817,657,
385,171,301,505,579,288,769,895,278,375,055,077,802,804,749,891,656,664,044,
103,852,104,885,797,313,034,611,070,575,781,614,714,507,062,334,106,040,593,
059,183,875,648,972,370,300,948,507,520,006,281,748,731,545,947,797,143,791,
041,972,754,684,816,218,986,261,578,522,744,057,855,788,484,295,932,861,688,
688,239,267,535,706,620,159,314,074,116,489,021,885,825,993,616,252,023,044,
653,785,811,801,563,154,509,317,760,234,419,619,060,960,891,570,963,406,838,
851,328,572,942,635,598,271,424,791,629,683,915,960,127,819,029,165,105,315,
180,761,897,028,146,133,861,068,706,203,466,519,412,010,549,526,845,504,219,
975,457,104,898,799,364,124,807,245,090,408,501,927,503,687,001,836,683,117,
778,394,412,245,920,709,804,692,331,367,235,846,469,131,891,400,391,660,083,
601,434,202,280,805,323,602,523,619,285,660,605,959,530,110,271,948,389,182,
899,920,987,932,464,123,052,601,636,815,755,996,804,522,080,894,016,420,630,
745,427,665,147,351,558,831,317,379,422,598,025,646,162,786,063,017,935,978,
322,781,229,915,930,486,419,213,716,820,019,212,816,246,074,819,299,887,322,
990,011,347,014,042,673,312,188,353,099,838,084,702,703,449,951,328,764,284,
681,718,411,066,636,067,083,984,806,333,609,996,228,776,622,014,050,064,283,
484,806,839,214,475,456,799,940,987,294,991,448,739,036,368,812,419,140,601,
061,234,847,607,208,076,087,535,409,125,639,061,470,527,171,082,344,421,944,
077,067,761,413,700,359,762,528,008,514,108,461,734,537,345,413,697,832,412,
494,184,844,848,575,133,282,320,788,240,863,457,738,484,480,108,226,294,580,
373,834,077,071,430,877,182,332,187,636,704,189,027,690,039,097,596,781,793,
384,071,927,275,494,466,443,199,510,324,605,842,945,652,774,173,511,444,917,
712,046,773,058,085,172,739,320,197,418,036,878,828,441,164,982,765,864,541,
373,900,348,971,401,639,061,801,827,149,795,006,971,748,926,306,666,640,241,
454,011,840,136,368,036,134,171,914,719,020,804,027,793,973,129,928,106,504,
457,234,955,570,194,462,730,389,711,447,498,383,391,881,558,005,069,226,410,
141,880,688,850,394,988,123,479,067,834,279,325,554,199,616,982,550,158,499,
297,107,181,548,836,495,492,220,312,220,824,397,125,336,435,607,654,460,716,
235,877,147,424,097,768,395,139,715,941,266,114,384,517,897,583,461,568,969,
684,234,487,677,385,560,685,945,088,347,079,892,530,769,141,867,028,120,923,
251,515,135,250,467,076,655,123,772,343,811,327,327,759,506,154,843,725,122,
426,668,398,276,098,176,700,371,953,185,836,928,372,492,336,179,706,458,709,
052,878,075,377,426,882,604,223,114,131,912,964,021,537,713,804,328,840,430,
860,973,076,804,214,289,722,532,088,199,879,202,595,526,881,625,464,338,667,
308,257,405,609,171,726,505,450,961,537,575,242,240,086,650,843,166,310,480,
830,256,540,027,444,318,219,053,669,483,162,635,983,764,740,392,467,862,916,
051,215,298,009,923,416,987,717,333,725,095,941,411,624,659,997,340,307,464,
765,980,805,339,049,809,273,020,404,685,319,480,713,608,620,590,189,126,832,
942,066,784,851,759,369,543,567,198,819,830,381,345,516,615,439,822,211,438,
194,891,813,763,220,842,318,669,637,015,450,233,338,553,995,554,346,127,076,
255,605,163,184,419,602,682,981,240,322,630,147,870,674,261,588,724,713,197,
672,406,258,327,920,054,275,766,837,421,069,587,390,457,805,699,016,264,694,
759,679,824,151,865,946,238,228,705,575,111,715,536,956,661,663,522,124,120,
219,344,903,088,777,934,110,472,204,638,880,960,592,123,961,794,747,008,200,
569,616,477,234,252,281,016,131,593,039,735,597,948,403,560,827,192,455,154,
209,076,981,762,943,191,992,411,324,128,111,187,669,970,804,728,734,003,974,
144,437,532,030,669,951,898,449,126,558,246,950,889,167,411,206,361,726,508,
172,761,011,170,719,291,037,764,172,615,731,179,832,332,596,093,949,732,710,
012,314,549,555,301,082,496,184,100,916,318,244,631,647,985,543,193,362,572,
339,262,650,123,353,801,268,387,710,707,352,145,595,077,783,209,991,298,189,
312,206,540,005,217,677,202,974,134,388,023,125,208,113,364,560,576,607,117,
223,046,264,468,502,190,985,500,125,125,191,678,928,571,575,801,486,150,033,
840,991,064,332,546,591,955,877,313,911,183,753,772,788,473,749,674,058,286,
076,741,418,039,527,567,886,171,476,453,885,738,473,445,638,354,757,639,204,
506,034,719,158,902,002,536,809,287,293,640,827,163,766,412,455,443,373,843,
743,309,619,009,496,702,384,707,295,281,769,426,674,840,631,328,351,162,354,
146,967,767,408,827,971,038,302,121,861,030,112,438,243,855,370,193,427,896,
679,069,671,598,028,874,455,682,267,117,169,484,215,938,524,892,875,824,485,
216,042,295,218,900,719,439,879,806,507,767,814,207,948,160,493,813,769,137,
405,828,056,296,529,267,171,905,263,355,801,627,461,385,922,490,059,376,182,
786,138,376,532,856,650,743,503,041,158,175,127,071,940,768,855,643,199,363,
557,041,860,982,482,216,265,990,015,443,932,273,616,977,803,554,853,295,057,
359,698,952,540,726,854,112,911,257,974,309,873,457,063,205,691,123,164,646,
148,195,513,546,465,318,983,509,720,566,950,168,783,630,345,502,565,025,601,
856,617,613,029,173,512,554,495,905,976,824,722,783,045,739,286,154,624,314,
494,670,515,487,021,852,938,636,044,588,239,540,225,862,443,940,003,988,953,
881,535,011,817,146,744,971,018,652,109,360,822,803,240,271,202,508,716,986,
230,921,875,001,488,042,519,982,131,803,515,855,667,397,839,382,484,207,798,
934,145,494,886,039,330,160,167,761,783,855,890,568,352,174,650,990,496,176,
483,280,526,319,862,825,613,797,082,272,669,979,561,515,651,781,841,382,973,
586,927,133,055,806,408,906,815,959,666,496,421,171,421,204,739,853,989,775,
718,434,418,694,983,086,305,055,836,070,260,507,128,795,337,783,660,496,823,
885,190,230,592,993,807,505,605,606,376,770,111,640,167,769,309,048,446,006,
159,800,038,919,073,892,319,908,134,031,401,828,945,773,784,884,646,085,939,
576,107,746,884,192,017,652,094,366,102,278,269,091,700,577,190,617,274,110,
652,457,147,504,294,483,067,291,815,422,333,053,816,634,661,398,884,413,047,
989,455,040,122,470,581,613,408,090,979,575,952,032,783,663,380,914,255,361,
691,603,496,719,382,609,640,604,810,911,865,681,023,961,834,436,984,880,920,
814,441,688,526,029,466,283,063,396,536,607,549,639,728,099,418,432,787,101,
186,002,476,752,424,522,374,338,695,645,847,282,136,591,340,513,673,625,617,
180,897,862,049,919,989,230,200,413,795,918,162,309,707,289,876,619,230,126,
077,872,831,576,111,631,065,114,662,742,642,900,402,134,260,487,357,026,920,
702,002,887,213,522,525,385,882,808,765,106,891,700,985,207,290,231,507,368,
202,406,879,127,743,467,419,579,467,839,310,809,677,697,888,192,903,537,560,
444,071,231,519,095,963,423,726,272,335,621,450,620,897,678,685,247,509,986,
503,540,965,930,122,922,834,784,421,880,661,528,581,742,606,223,833,374,778,
129,223,256,396,732,259,398,569,871,816,802,356,641,375,716,596,351,434,505,
487,404,885,408,827,909,132,671,888,896,111,677,003,646,081,714,442,331,479,
542,509,676,226,149,710,921,480,786,871,224,671,698,215,420,231,824,420,002,
694,290,170,975,409,323,915,486,116,115,799,305,216,190,198,457,351,505,239,
376,372,177,456,021,364,162,147,870,171,982,686,080,319,570,277,972,056,462,
857,594,684,870,263,200,931,458,605,909,188,292,028,584,210,290,484,235,736,
123,555,592,168,557,764,141,322,714,291,239,393,570,530,531,633,232,294,132,
287,033,707,915,195,601,130,842,639,311,430,774,642,156,458,464,022,500,849,
773,698,487,700,749,525,182,623,949,997,625,607,658,425,005,210,227,303,833,
377,599,527,745,464,958,899,794,971,702,241,225,110,337,448,716,056,858,669,
256,605,443,259,209,550,333,935,201,352,476,028,305,039,587,671,857,568,178,
100,135,886,399,802,497,185,780,747,119,343,659,222,069,440,870,774,432,248,
644,985,076,970,200,916,508,672,922,598,354,318,173,792,772,688,918,461,552,
669,010,517,823,487,030,331,334,948,813,810,664,359,870,829,295,096,435,470,
926,337,068,690,681,329,336,862,986,816,564,053,449,967,927,567,079,111,719,
603,967,669,517,391,177,719,538,490,297,606,768,677,908,476,570,872,983,236,
542,777,728,313,173,259,430,474,750,409,109,313,574,024,642,529,552,443,426,
969,982,150,077,899,183,420,159,704,265,149,001,534,285,060,582,221,848,458,
403,544,662,140,479,069,322,810,694,941,146,548,802,572,879,781,745,683,691,
267,976,620,390,631,974,536,578,226,149,884,973,054,317,458,835,337,939,552,
802,349,366,247,959,970,029,977,710,699,525,793,268,405,907,255,004,169,466,
629,044,005,742,669,882,583,668,689,832,386,929,788,055,430,769,867,905,274,
328,702,884,741,604,305,582,335,495,278,668,454,589,748,701,481,946,767,542,
452,394,271,694,901,769,939,226,064,204,364,715,533,708,883,397,505,295,615,
261,636,548,903,739,827,938,341,264,040,765,679,685,177,951,734,846,797,349,
992,102,799,989,101,160,481,149,667,850,157,326,457,458,827,884,828,188,177,
003,763,616,229,017,721,738,624,261,529,716,300,465,230,320,066,685,611,588,
567,833,793,799,096,701,178,572,029,836,839,993,597,165,404,958,011,322,197,
980,686,065,023,080,811,356,346,463,939,713,936,145,190,076,757,936,844,092,
406,775,408,971,821,993,682,208,426,705,948,471,376,035,198,055,165,792,987,
695,091,178,110,047,349,268,354,241,714,400,244,041,898,732,638,450,475,449,
088,204,659,633,422,890,419,867,721,267,444,807,034,293,156,177,767,185,488,
936,048,674,788,018,318,814,541,768,562,298,360,802,892,495,927,959,168,821,
598,591,376,123,375,747,294,083,084,973,053,132,731,153,436,077,482,390,183,
913,285,958,593,771,702,792,325,291,286,431,161,056,321,845,107,613,523,307,
274,157,308,873,337,594,005,974,593,766,391,860,322,602,357,092,160,330,435,
984,005,110,211,474,139,376,525,943,325,059,363,988,287,296,872,567,900,877,
446,351,111,595,277,007,825,115,182,619,723,380,994,522,728,844,159,263,705,
032,947,798,318,452,046,682,188,679,837,964,971,740,654,110,645,576,007,328,
741,232,781,309,037,382,313,430,590,025,211,944,056,071,966,216,196,671,563,
216,227,861,822,409,174,898,614,434,313,627,194,872,265,273,818,495,757,377,
848,993,664,692,852,331,257,038,843,462,537,833,604,177,817,705,133,671,704,
613,997,881,072,656,091,220,550,089,496,812,576,048,206,046,206,598,751,723,
576,621,308,833,151,123,533,695,945,250,128,488,009,560,053,148,018,172,895,
745,527,545,973,126,861,616,235,742,080,435,239,244,829,943,307,820,772,701,
153,186,018,173,442,917,937,288,168,009,387,724,093,218,660,712,683,920,444,
414,666,364,091,231,003,767,715,344,336,494,814,053,770,046,126,110,312,370,
030,414,781,206,987,271,256,500,751,696,740,361,258,892,013,970,761,144,871,
867,888,857,784,002,176,129,512,289,139,386,543,600,727,016,174,218,812,214,
142,451,346,441,640,500,839,569,949,776,915,939,724,983,676,091,818,571,787,
930,201,757,221,688,718,353,168,914,720,188,245,576,324,349,108,291,549,492,
815,513,319,969,792,449,611,945,501,176,937,833,453,754,531,587,237,400,689,
978,132,481,808,801,102,427,510,586,049,531,566,130,705,222,042,993,851,100,
786,509,923,926,598,942,602,614,303,429,413,837,015,446,678,228,176,112,852,
803,937,886,224,290,315,520,024,076,890,546,781,596,450,221,079,433,313,098,
977,148,990,471,726,695,677,857,978,291,819,250,866,310,952,872,403,216,701,
470,875,339,176,211,555,269,560,010,585,165,770,537,446,371,405,590,236,902,
654,851,832,515,793,786,992,995,229,392,194,052,950,048,977,302,657,862,698,
935,905,280,487,689,418,727,358,728,458,844,709,069,246,620,101,889,528,676,
236,311,893,247,685,799,130,272,418,528,351,240,622,959,202,613,933,191,079,
589,070,895,104,616,136,405,898,656,887,532,789,155,067,841,670,316,751,697,
383,545,763,414,335,740,170,922,605,001,671,646,747,803,424,900,554,818,270,
663,945,953,348,810,231,217,580,792,662,042,796,657,247,950,837,990,912,310,
450,982,031,840,490,447,213,993,556,556,266,052,685,208,554,998,202,631,074,
236,322,423,241,124,999,140,463,688,268,737,731,643,396,101,518,995,287,605,
914,091,294,346,366,827,151,749,826,193,706,987,663,727,190,533,249,087,424,
414,826,006,137,724,496,822,022,444,225,902,324,541,550,775,829,548,840,507,
194,189,052,248,964,511,578,363,560,485,123,025,828,635,471,515,692,334,359,
349,678,948,519,907,851,140,347,188,946,466,770,210,054,829,419,676,767,120,
412,083,660,814,415,565,394,546,266,969,074,263,389,148,577,422,791,677,694,
520,580,737,726,527,605,933,930,538,411,624,966,604,137,209,894,944,673,991,
385,782,592,894,708,135,554,759,124,285,538,329,374,170,178,836,359,983,090,
570,393,771,582,707,392,721,391,954,065,831,078,721,949,163,876,882,274,266,
270,534,832,282,622,646,171,460,382,147,803,443,916,309,514,716,139,994,102,
643,209,312,328,231,919,967,396,470,048,697,139,912,381,617,508,527,100,390,
125,840,143,219,232,302,873,668,302,893,502,783,969,491,520,370,704,295,301,
788,118,533,739,609,442,291,372,765,999,532,082,605,202,639,847,226,795,931,
405,115,214,768,293,314,233,909,934,243,300,455,521,734,549,134,601,230,599,
420,014,984,711,656,175,808,756,692,065,738,701,095,219,042,644,312,357,082,
381,369,685,331,439,942,522,762,807,187,769,821,630,790,353,818,370,089,620,
613,159,596,899,513,649,388,694,419,246,976,333,035,732,714,904,749,454,480,
717,378,884,692,556,730,844,821,374,905,446,089,115,812,496,525,320,392,845,
860,527,907,684,720,172,662,997,126,669,485,410,880,674,760,126,763,462,671,
802,988,661,310,304,707,223,673,408,640,103,223,088,867,840,571,526,448,053,
814,667,827,687,426,350,199,235,745,399,154,442,849,287,373,308,122,271,196,
629,553,387,823,471,348,095,915,665,170,269,502,131,342,918,353,743,887,652,
192,535,120,832,142,760,052,119,108,859,273,175,468,372,155,872,222,320,275,
772,721,480,782,062,396,762,607,503,845,923,253,471,152,477,330,174,635,484,
076,226,209,530,927,206,902,749,239,203,284,835,795,459,699,042,109,146,979,
223,077,323,763,251,747,190,712,079,471,136,290,900,091,441,570,000,499,201,
680,152,040,357,744,383,402,398,393,553,408,699,281,360,365,245,631,535,437,
670,390,518,105,293,537,475,195,105,381,884,082,011,771,521,425,717,726,251,
451,362,267,479,243,631,757,641,803,227,100,510,040,260,947,939,303,684,560,
012,734,060,266,035,913,145,116,753,163,869,282,369,180,210,248,571,273,044,
339,301,703,016,980,980,638,047,095,466,545,847,862,596,595,057,259,977,432,
767,177,409,133,423,456,257,238,833,796,672,683,011,287,939,016,909,815,785,
298,877,014,162,828,272,494,595,556,256,814,089,376,495,599,848,035,024,047,
462,829,572,043,846,206,360,897,794,512,632,965,269,422,946,690,069,222,111,
220,197,922,145,948,957,313,707,688,156,719,791,920,756,820,181,264,680,157,
088,850,578,589,331,771,423,659,309,969,680,022,975,749,860,543,208,026,300,
216,415,694,377,057,398,623,965,531,379,984,206,062,726,520,969,667,864,271,
346,533,038,985,751,031,220,842,005,859,588,679,814,007,329,517,422,418,598,
507,945,775,204,207,334,514,183,110,877,872,104,986,855,167,475,503,281,791,
357,386,591,365,600,364,178,489,713,337,309,357,421,563,668,389,241,541,021,
307,547,318,463,392,075,649,132,434,816,271,152,467,021,966,834,939,256,999,
107,562,998,066,812,664,545,683,975,884,077,448,180,911,592,285,993,502,917,
391,377,606,880,632,829,647,483,123,876,869,973,413,648,291,432,982,539,632,
996,962,758,787,283,387,527,090,820,626,965,801,236,189,067,544,041,704,573,
714,563,549,559,305,593,485,375,409,244,206,406,831,026,796,083,220,351,137,
409,827,904,515,919,277,694,340,807,952,189,614,786,556,409,485,265,880,176,
138,706,352,444,209,654,256,313,855,712,618,959,351,578,747,921,201,571,234,
833,318,046,569,299,356,809,205,726,398,403,364,056,189,247,997,462,981,217,
242,829,810,938,085,465,928,134,043,712,491,703,430,839,533,002,001,149,481,
781,107,158,523,827,443,750,754,273,491,178,085,422,069,414,031,504,760,007,
147,938,331,682,933,321,663,886,582,637,634,657,067,338,008,535,110,867,343,
939,207,489,779,273,753,588,527,847,302,010,792,967,279,237,363,282,941,563,
585,922,949,108,255,296,222,899,246,902,535,237,723,150,561,193,224,405,741,
869,167,288,597,324,195,998,319,330,607,379,335,024,785,408,370,874,797,205,
502,967,009,275,986,860,843,216,015,445,940,161,518,394,094,278,772,706,970,
507,102,096,408,861,534,704,063,270,130,854,951,083,249,037,223,778,777,778,
266,083,903,317,384,694,474,121,654,976,324,861,579,543,801,859,340,144,232,
270,289,060,817,422,830,371,967,371,905,239,040,681,475,985,800,748,225,766,
296,784,977,634,973,670,966,092,050,529,541,115,794,208,095,620,669,399,505,
111,640,417,923,822,965,889,482,299,796,828,242,539,769,604,221,189,772,758,
826,195,556,133,631,884,858,031,223,757,432,616,826,210,864,707,541,400,203,
795,695,249,215,875,221,465,246,475,938,412,129,446,071,116,549,489,306,240,
067,884,416,303,623,391,710,579,671,446,185,974,881,950,946,668,228,309,893,
713,244,792,499,983,591,733,555,555,580,651,811,223,282,521,716,135,831,749,
699,915,771,284,400,824,281,745,214,364,542,483,600,885,512,181,981,482,533,
883,894,009,383,565,924,723,029,288,865,800,085,340,838,181,996,925,410,529,
914,005,460,620,534,484,760,792,479,943,713,948,977,074,136,186,431,707,939,
352,571,473,707,933,941,399,117,915,344,328,627,364,587,473,064,136,067,801,
931,887,080,251,961,635,246,960,621,624,813,517,430,102,494,928,037,140,994,
734,611,377,706,226,770,444,935,337,469,728,798,368,078,692,332,967,530,372,
429,661,240,977,927,961,281,285,204,559,586,072,261,808,517,642,852,849,285,
643,707,284,009,169,209,613,013,604,518,068,751,388,133,523,982,701,619,054,
771,872,350,890,670,472,553,859,312,151,009,047,183,870,278,188,795,636,655,
009,316,144,181,959,762,872,106,505,423,832,997,687,456,754,860,313,350,524,
093,561,095,477,189,520,231,587,388,976,568,399,238,362,430,975,904,702,108,
437,347,217,432,027,446,204,214,798,680,184,919,678,112,675,417,753,205,361,
852,589,574,350,862,380,407,644,014,638,646,259,079,752,054,784,831,778,441,
393,896,516,416,120,682,998,938,567,540,934,498,501,291,513,953,982,132,452,
453,189,273,296,300,630,611,972,895,290,784,859,736,528,524,220,072,004,726,
996,906,811,752,322,166,710,332,339,453,253,194,350,312,092,768,132,343,974,
547,095,869,645,320,625,859,414,175,137,890,402,896,776,391,823,793,948,546,
365,527,174,038,896,649,470,732,292,555,523,469,201,192,032,660,023,326,684,
241,639,310,328,583,736,720,295,149,259,380,480,632,781,119,746,837,214,918,
184,402,785,389,309,406,544,107,383,656,127,388,829,659,248,597,140,676,971,
571,033,326,115,593,453,374,568,402,253,883,781,855,099,475,561,875,820,350,
071,517,108,202,784,350,137,581,019,401,603,478,558,269,677,177,173,497,730,
490,837,315,695,262,073,613,181,759,067,260,839,966,805,440,938,400,820,578,
899,650,221,307,316,809,798,806,515,542,450,537,661,713,837,354,623,629,359,
936,631,895,892,945,257,561,371,746,539,091,072,177,219,645,456,610,359,249,
914,050,891,287,236,029,604,689,117,223,319,376,874,643,358,686,909,159,297,
004,631,033,193,253,201,255,282,216,772,987,178,730,714,636,988,007,002,270,
829,647,070,077,868,485,374,360,021,234,023,964,812,788,637,186,647,461,908,
498,511,372,804,618,117,924,984,248,395,215,889,853,253,982,206,150,491,073,
834,113,973,010,452,828,967,095,417,027,897,244,406,212,366,737,132,029,827,
592,554,607,451,164,106,680,071,348,192,457,450,301,097,048,360,146,490,638,
321,135,077,645,179,921,579,442,196,983,071,168,191,110,404,761,205,189,266,
096,363,708,806,444,790,724,618,867,704,951,164,389,772,704,311,080,425,632,
794,259,143,560,544,973,989,773,850,292,837,109,310,997,237,595,925,180,412,
523,783,507,473,305,440,415,853,538,665,757,198,818,461,525,904,450,789,222,
308,713,146,801,206,917,551,880,814,715,753,818,366,640,519,480,748,211,262,
457,435,673,106,409,707,666,896,674,500,206,266,848,094,442,493,339,910,728,
129,210,645,480,639,986,220,430,133,753,898,274,095,415,148,920,509,596,371,
168,443,534,622,195,965,413,062,398,128,169,389,812,575,109,662,680,348,392,
232,768,003,820,561,957,777,159,078,451,369,176,533,057,495,758,787,824,613,
453,040,624,232,861,831,562,273,309,076,568,576,494,803,017,749,247,501,883,
546,465,994,156,923,094,180,092,487,541,492,212,158,985,542,673,941,206,354,
492,522,046,244,311,259,803,110,961,619,943,052,717,374,896,629,727,094,850,
416,491,555,194,865,834,941,952,421,784,211,900,497,213,983,021,017,021,493,
611,805,795,944,464,875,248,957,699,870,179,912,866,163,853,444,016,626,357,
228,735,963,079,261,682,380,584,322,750,873,283,731,231,511,668,170,702,275,
451,077,829,289,591,216,963,150,004,580,076,865,559,598,742,055,134,447,298,
314,390,891,223,776,162,705,246,789,959,372,370,191,083,957,385,374,353,754,
650,159,931,636,895,808,293,489,124,127,267,778,784,057,904,663,135,982,038,
183,433,212,119,875,868,842,612,348,136,894,043,153,540,843,476,294,923,715,
138,168,507,105,216,868,328,083,220,143,236,799,313,454,781,750,695,307,532,
568,942,968,782,242,507,161,899,052,541,225,891,653,133,844,119,246,703,794,
066,268,277,088,613,233,696,922,534,614,135,647,847,955,879,631,916,050,313,
661,350,608,949,227,396,856,138,522,778,027,252,992,237,899,325,135,337,497,
184,586,501,803,380,039,398,350,252,290,217,759,013,855,817,680,283,058,821,
713,203,642,069,297,997,414,059,178,198,694,368,207,358,198,599,968,307,027,
061,381,230,119,717,995,564,333,912,604,118,737,421,658,028,958,735,571,320,
013,991,335,080,659,555,364,498,780,726,166,078,550,451,304,615,423,322,687,
052,741,626,290,601,127,614,220,446,822,545,931,202,095,232,671,663,844,180,
490,574,356,141,412,507,997,442,498,192,402,584,951,402,678,422,196,076,162,
064,314,606,340,925,256,279,873,445,434,424,647,309,249,416,906,085,878,073,
673,280,737,853,324,182,995,701,748,802,356,963,725,858,863,626,491,905,979,
151,201,845,148,218,614,258,130,793,300,096,677,999,243,198,191,777,017,655,
358,355,029,193,564,638,086,775,634,889,253,434,430,642,049,987,967,024,307,
667,577,228,072,097,151,540,684,366,968,606,624,765,415,601,364,989,643,954,
832,210,121,838,565,578,365,946,847,520,999,675,337,089,361,773,115,148,425,
485,356,430,235,571,115,947,176,825,834,582,257,891,064,315,616,758,391,672,
940,961,684,112,999,683,292,040,721,719,051,187,054,538,991,852,175,574,360,
069,278,907,602,287,537,746,212,196,310,153,769,378,462,384,728,341,736,799,
663,879,719,688,022,141,253,631,436,391,919,077,525,417,383,818,809,835,010,
936,829,031,258,078,023,188,604,504,681,756,383,954,185,397,958,824,399,259,
050,655,562,050,452,054,643,179,225,769,654,973,092,047,607,467,811,052,644,
314,058,302,520,592,186,702,969,449,715,873,216,911,583,348,211,246,628,966,
935,999,670,670,985,332,633,616,013,195,740,200,285,921,497,421,157,729,567,
241,957,031,495,414,430,379,466,320,727,137,865,162,313,266,529,819,960,290,
015,514,209,620,409,021,058,901,368,308,000,557,210,765,786,974,220,628,054,
449,876,441,054,547,916,016,761,781,187,671,693,238,295,443,514,820,673,743,
985,267,056,314,508,269,043,184,866,818,533,150,090,263,432,631,356,911,960,
899,146,516,456,816,469,129,622,116,758,148,871,732,940,586,961,516,828,642,
455,197,247,289,477,608,950,828,573,599,346,796,956,708,383,927,592,197,270,
813,270,936,295,755,422,681,410,642,625,084,774,706,343,627,806,669,677,073,
522,633,341,654,412,179,761,592,377,219,813,616,819,602,600,741,564,042,065,
892,393,460,383,871,352,336,410,865,861,183,818,763,996,747,848,076,910,431,
796,256,655,155,052,467,471,739,032,561,530,555,312,228,369,653,462,439,766,
314,061,419,636,340,142,940,157,034,347,560,733,759,059,682,686,138,282,955,
285,452,875,433,493,898,994,977,463,547,464,699,653,447,753,304,245,798,776,
340,860,467,455,250,323,485,357,513,852,391,262,067,563,092,783,982,303,947,
625,714,417,149,499,743,349,719,651,842,361,748,519,243,978,811,173,744,816,
712,581,677,286,608,394,855,961,278,586,781,626,375,636,338,003,735,639,683,
675,178,183,584,940,836,656,050,382,973,966,362,682,099,809,337,916,826,274,
229,744,690,998,515,301,529,241,732,989,464,199,148,041,802,402,201,445,753,
959,001,903,000,456,889,695,080,354,015,949,538,798,431,433,925,202,691,739,
572,892,650,136,203,274,677,902,286,903,893,882,485,820,228,154,358,062,500,
059,610,004,366,226,588,598,598,284,481,615,895,390,683,586,509,735,991,490,
495,249,793,545,798,534,884,744,056,749,179,633,772,564,987,436,758,800,924,
937,365,189,108,462,939,911,427,296,160,806,914,137,141,054,546,332,887,491,
469,364,895,169,325,688,335,662,463,218,212,324,078,558,731,171,358,377,083,
659,545,907,815,586,749,763,682,734,063,870,618,982,971,617,548,606,051,063,
236,642,093,075,099,695,813,044,978,409,741,632,522,763,271,446,935,943,721,
487,459,211,596,014,924,067,690,453,907,558,504,919,532,562,300,225,744,212,
975,658,958,689,967,107,949,903,515,659,441,823,875,151,451,517,511,421,586,
303,904,025,808,491,376,535,926,465,571,742,532,766,757,213,964,623,311,849,
135,966,990,600,735,930,353,729,010,553,087,296,483,116,346,428,192,646,439,
200,123,472,231,084,137,687,505,405,963,957,138,405,107,534,478,975,640,995,
889,580,623,555,367,753,842,605,144,671,761,961,392,476,712,730,136,088,349,
150,572,473,592,182,225,037,080,516,939,688,584,153,306,226,446,654,559,489,
602,019,143,004,185,378,563,392,848,276,943,865,878,588,222,574,579,537,333,
367,709,995,878,232,526,707,784,809,683,573,282,769,317,539,875,426,183,307,
280,739,349,620,574,481,451,535,387,498,914,648,136,690,889,190,558,667,021,
118,764,106,318,459,774,598,994,827,370,471,060,021,816,676,833,450,738,127,
791,087,509,454,481,840,972,173,379,532,401,324,129,467,486,095,637,948,187,
376,681,007,779,855,295,567,916,556,667,762,470,249,681,650,432,587,031,326,
554,912,142,310,933,511,210,785,427,988,921,298,047,963,529,875,710,219,073,
114,246,071,278,301,398,324,931,768,582,684,496,595,952,913,276,381,713,120,
627,838,922,095,642,023,982,581,507,370,876,498,655,804,890,950,068,545,993,
268,243,912,609,760,494,113,182,060,873,919,682,294,026,893,442,990,314,694,
904,338,120,358,708,963,860,625,545,723,807,683,290,331,722,919,327,720,876,
331,015,309,534,780,798,257,233,436,346,415,063,421,239,600,276,569,279,129,
873,877,865,035,433,574,655,927,540,281,074,858,789,627,716,499,906,868,373,
280,892,416,987,119,558,111,769,734,099,245,411,674,955,462,543,717,316,996,
858,901,384,729,489,447,585,256,194,016,589,297,724,965,103,920,019,650,459,
630,620,535,388,926,830,414,844,989,526,876,352,674,964,112,238,150,566,724,
472,029,110,102,054,242,904,670,419,192,949,998,666,208,197,061,447,395,757,
091,742,417,473,130,977,585,069,586,905,598,551,889,743,171,054,759,499,918,
186,943,564,635,633,464,734,421,180,795,743,316,171,118,467,178,066,384,190,
044,266,746,536,556,666,145,935,630,643,334,779,402,057,041,219,052,643,120,
898,945,657,507,655,474,442,072,877,132,540,966,191,678,880,843,915,472,085,
894,232,544,418,069,910,321,405,001,114,130,149,598,103,448,501,119,026,068,
769,148,589,530,986,680,335,053,808,170,653,344,455,835,920,624,744,655,413,
643,818,664,684,191,309,441,674,054,640,599,688,000,836,728,659,168,790,540,
630,756,532,396,631,620,918,416,492,559,832,082,096,462,107,319,341,353,684,
790,750,556,846,164,247,024,065,117,434,514,087,356,718,003,984,456,899,238,
346,124,444,367,554,168,206,617,999,273,922,506,195,090,805,995,744,918,375,
249,991,800,570,767,526,647,490,447,476,481,398,241,835,779,390,856,384,805,
897,308,184,244,259,913,680,589,450,277,138,004,061,150,679,489,315,289,547,
832,784,354,307,393,821,011,748,177,830,171,933,441,735,635,405,385,612,017,
240,647,789,647,726,661,244,753,166,641,670,981,966,948,032,205,806,727,113,
991,983,864,404,731,556,570,734,636,718,504,886,899,381,179,710,643,498,377,
881,182,026,482,082,207,242,077,903,700,820,095,428,706,715,891,209,466,364,
561,133,183,993,217,798,604,361,010,986,152,520,018,900,457,136,730,560,052,
148,933,283,066,054,292,078,122,422,352,338,074,437,321,404,730,307,082,443,
154,373,588,633,820,776,984,676,764,372,613,499,135,176,808,127,879,613,744,
284,103,255,183,231,202,309,398,918,925,930,624,149,413,935,942,407,908,030,
448,493,139,256,960,545,280,060,363,412,725,909,596,334,402,259,116,630,174,
420,590,605,254,436,351,081,684,608,809,440,058,687,414,111,488,802,111,458,
683,636,239,125,745,055,879,268,739,880,868,449,294,134,566,982,272,941,270,
113,103,633,548,184,972,320,578,634,960,491,817,130,654,987,838,718,708,904,
979,565,406,893,363,034,130,643,138,103,978,043,029,351,433,322,893,807,584,
083,423,400,505,801,348,823,226,010,334,706,203,802,305,412,951,685,552,404,
594,726,167,761,089,147,097,781,402,053,501,961,601,328,907,091,752,341,259,
404,368,142,474,491,564,492,313,417,313,710,795,661,304,703,052,664,425,684,
999,492,271,890,161,556,259,924,625,526,580,356,005,082,407,331,548,826,371,
878,995,347,566,670,953,617,347,139,834,693,603,893,433,392,020,647,314,904,
783,026,979,169,134,689,911,772,546,666,149,727,374,088,482,735,585,492,376,
240,946,482,384,729,316,488,285,398,143,251,602,795,489,901,402,535,002,714,
388,012,985,600,069,236,248,332,759,268,784,735,331,258,140,241,175,651,221,
376,439,673,654,517,686,654,499,113,744,708,746,048,647,164,275,565,272,868,
951,581,848,368,049,012,036,965,385,699,378,594,169,513,439,497,950,242,379,
067,575,911,434,934,814,990,017,913,106,367,812,810,545,599,637,863,398,653,
199,630,928,611,831,128,572,977,964,782,213,608,943,701,708,938,890,111,188,
343,244,923,205,033,526,795,837,701,707,361,326,461,431,490,978,577,977,382,
859,901,124,677,636,294,675,943,556,037,579,550,626,982,045,374,858,805,773,
488,880,940,189,548,796,953,142,198,939,102,507,455,868,075,183,320,171,334,
942,134,677,051,527,418,503,282,069,886,013,490,491,267,297,923,235,436,601,
477,157,281,684,907,335,455,006,928,941,639,898,697,755,081,324,661,842,816,
380,211,615,464,358,381,108,325,326,825,198,654,935,032,647,895,353,167,993,
402,742,572,341,373,395,286,898,575,983,484,399,586,493,108,988,401,722,237,
991,403,832,401,134,572,732,593,205,811,979,011,953,285,915,987,886,556,769,
589,634,766,069,835,240,013,060,659,872,972,012,897,341,296,229,662,718,105,
497,684,389,009,014,101,339,985,366,824,531,596,808,677,165,799,231,850,264,
753,817,833,443,694,061,830,760,677,585,455,767,266,108,224,951,622,391,344,
643,714,124,004,003,920,847,914,232,483,131,739,300,281,112,145,443,547,156,
699,107,590,920,069,412,518,335,613,389,851,400,525,816,278,221,670,316,333,
306,098,196,756,380,088,234,469,170,602,470,127,097,669,852,465,202,428,378,
512,637,283,741,184,788,455,735,303,067,040,810,741,894,733,660,293,612,885,
471,349,842,806,935,652,399,981,258,707,636,187,090,036,394,502,741,532,843,
235,686,557,779,180,015,680,463,175,186,771,664,754,717,667,250,021,883,390,
428,069,763,239,964,226,072,073,770,983,161,418,124,671,186,359,127,779,499,
272,217,449,899,531,283,605,129,466,170,201,541,474,808,250,555,669,480,704,
575,193,677,793,930,622,679,860,295,194,580,299,239,658,093,441,775,004,448,
654,557,855,454,780,536,207,132,866,993,090,649,377,107,900,823,051,161,976,
564,496,567,790,744,525,904,262,744,207,877,626,385,954,762,963,484,526,044,
461,836,147,692,904,340,934,034,987,732,267,881,713,718,491,794,860,619,376,
054,431,575,705,347,168,508,526,756,826,270,045,572,161,474,295,357,881,125,
139,099,073,829,766,318,673,636,806,819,565,707,913,974,787,832,117,345,981,
092,687,602,986,566,629,452,722,698,408,125,498,106,908,262,824,825,963,156,
859,826,497,897,013,427,976,970,027,659,659,280,984,984,393,218,319,459,650,
260,905,234,416,573,535,254,242,369,764,392,503,950,850,882,582,001,202,898,
716,620,988,489,721,138,192,568,817,737,563,588,896,236,544,384,277,623,754,
962,483,363,066,227,915,634,309,665,157,304,972,538,823,532,840,707,727,906,
655,441,424,392,283,353,539,419,298,877,897,041,890,748,511,299,156,568,080,
236,721,051,700,442,775,049,210,699,924,071,751,277,167,807,546,849,274,267,
211,861,136,278,096,758,111,300,039,361,995,056,716,770,713,547,484,178,771,
003,009,222,952,658,908,776,245,834,189,814,691,959,008,592,334,781,541,451,
152,295,290,666,077,359,155,712,716,846,232,945,085,099,542,102,600,824,083,
240,470,581,301,630,185,081,265,863,386,984,487,039,859,756,764,123,871,109,
679,308,071,075,897,245,385,238,898,179,896,805,027,915,821,319,233,958,095,
877,756,454,151,434,017,896,502,996,533,930,207,253,600,402,383,891,991,057,
042,794,740,505,320,632,798,386,056,299,470,396,526,051,546,473,150,815,222,
200,241,992,543,368,130,965,894,284,181,586,301,064,710,595,299,901,744,973,
600,213,078,281,670,924,461,297,843,463,124,279,195,660,312,447,248,156,719,
002,873,604,662,826,834,019,247,495,345,501,319,813,482,197,703,216,842,581,
030,402,939,083,090,880,907,910,234,459,420,320,472,401,303,656,840,585,566,
008,989,152,641,945,483,988,582,324,159,497,154,308,542,667,930,933,305,181,
223,129,374,130,339,332,734,437,613,429,898,199,564,766,329,720,961,102,363,
227,963,867,674,394,668,434,158,168,890,739,847,666,128,773,345,188,243,643,
600,272,383,018,424,393,911,038,862,935,999,303,973,943,637,409,254,435,645,
424,906,140,668,639,819,020,570,031,692,786,107,005,454,263,519,072,370,563,
574,270,851,775,180,056,086,074,040,764,084,557,516,023,745,187,226,065,918,
356,933,178,701,386,427,553,259,189,984,206,968,871,154,773,613,792,017,722,
769,280,338,677,174,573,387,274,849,754,128,022,050,203,375,493,340,984,948,
512,876,932,963,740,293,008,706,380,670,255,589,510,287,985,602,574,617,302,
367,922,240,379,578,456,029,414,215,765,374,610,913,232,021,843,385,766,999,
583,369,643,237,209,223,436,658,664,410,530,847,663,731,203,747,176,083,146,
720,670,587,702,465,550,330,224,988,451,496,999,845,071,182,625,090,888,016,
549,603,881,202,164,447,236,799,623,114,537,557,259,803,592,346,593,729,526,
503,265,038,279,224,127,228,934,430,781,174,125,554,814,554,892,375,466,112,
085,862,690,923,691,563,075,752,494,778,309,632,801,820,853,171,471,591,465,
249,080,863,578,433,616,478,506,465,809,343,928,593,867,042,335,416,357,481,
774,661,745,078,899,219,297,437,650,285,718,713,650,647,235,565,294,368,005,
371,786,121,785,853,341,440,720,019,206,951,023,414,970,759,163,048,275,004,
868,246,802,771,765,326,376,130,352,965,663,839,778,877,170,566,842,726,750,
561,425,811,023,911,433,902,607,930,222,970,279,889,720,078,502,169,843,477,
925,697,601,785,929,647,849,101,507,674,672,307,165,617,243,082,044,119,124,
839,601,797,420,622,109,856,671,852,248,914,512,190,152,034,715,151,424,714,
356,516,404,291,712,551,803,804,230,635,471,465,617,171,982,509,632,425,729,
632,926,259,788,128,865,404,774,011,870,620,551,727,512,464,340,320,751,123,
669,600,657,346,581,645,995,174,197,618,410,879,095,116,268,755,815,688,061,
429,795,255,654,342,293,200,696,904,966,808,235,239,368,298,214,398,085,339,
271,344,808,991,306,699,873,273,038,252,569,521,156,531,544,805,828,859,070,
315,641,069,655,373,781,504,448,372,581,412,437,559,280,695,889,002,164,562,
755,143,432,529,548,675,921,715,222,746,985,878,661,628,223,640,328,255,608,
259,508,576,649,928,502,063,700,324,992,982,169,484,931,253,146,513,336,773,
229,712,945,134,507,684,047,674,142,774,446,489,702,983,549,650,545,252,824,
503,077,418,659,601,340,314,420,266,155,929,745,715,774,710,335,030,461,810,
053,112,699,371,671,535,912,331,855,778,033,636,692,326,797,597,892,867,385,
539,740,606,245,702,591,963,220,599,455,261,525,021,916,773,657,309,608,902,
229,408,776,846,095,194,941,279,201,312,063,040,528,280,324,712,862,132,888,
337,171,173,060,204,715,869,417,619,386,539,312,431,619,842,247,362,342,833,
023,276,625,610,885,939,952,763,857,027,552,309,571,983,456,354,065,935,826,
077,254,708,628,102,440,372,723,276,779,137,660,862,517,496,175,375,196,047,
472,923,651,343,368,299,187,419,877,469,931,043,890,188,772,857,679,346,131,
569,681,700,465,227,463,428,556,005,595,068,882,669,709,008,818,579,744,865,
336,846,017,312,958,150,173,036,671,108,022,610,178,441,484,043,718,883,975,
227,611,868,669,682,590,963,286,414,095,696,887,734,507,680,286,349,150,689,
456,733,106,957,713,540,924,218,019,763,105,417,884,956,787,911,951,765,994,
709,898,697,394,945,450,096,702,959,150,546,198,149,558,895,682,886,712,403,
854,909,245,420,268,041,322,332,755,717,930,968,688,397,613,359,177,649,886,
790,525,375,698,010,665,606,777,146,409,222,589,377,119,359,023,020,873,229,
975,872,035,746,146,162,253,564,264,998,016,697,269,345,364,424,292,571,996,
059,834,972,667,335,018,895,406,878,074,406,431,995,447,337,824,785,162,339,
009,336,231,334,911,612,999,109,488,664,020,427,690,146,430,063,827,285,034,
438,259,964,238,326,857,419,618,781,542,007,056,612,683,438,639,448,459,920,
954,740,392,946,819,207,780,978,873,967,757,009,934,339,071,811,891,411,490,
270,267,327,331,292,037,773,920,881,832,668,911,116,882,536,943,743,873,340,
875,202,524,233,045,679,149,179,946,238,561,765,932,756,341,215,035,848,738,
221,744,399,439,039,582,571,864,340,942,247,183,531,906,531,258,197,464,418,
200,428,148,557,427,218,492,612,023,077,926,701,420,201,773,541,188,088,436,
279,136,129,981,430,858,199,620,297,189,453,132,031,386,686,708,799,178,833,
136,897,310,065,377,746,258,918,255,031,578,934,426,514,897,693,987,374,308,
474,414,942,648,476,790,766,181,407,716,046,753,462,801,626,040,522,404,901,
991,000,910,482,878,626,050,838,784,964,677,610,761,145,282,074,102,116,217,
879,529,359,730,894,838,442,807,952,240,316,405,992,318,085,074,770,083,437,
855,498,634,089,120,615,889,440,277,688,168,237,211,181,262,856,399,307,987,
054,820,903,497,672,914,329,288,279,721,869,125,005,233,837,136,844,630,078,
909,508,064,938,151,160,259,496,533,401,491,659,325,044,155,868,923,506,862,
724,275,943,643,607,975,171,052,679,744,050,284,772,444,568,877,963,298,231,
822,130,056,209,977,159,858,206,415,968,681,166,727,856,765,168,626,170,274,
365,773,941,027,360,973,226,826,919,955,529,184,894,498,213,347,466,773,635,
434,230,257,707,057,997,312,163,264,105,103,053,458,287,807,432,570,037,525,
377,274,973,284,562,603,224,812,264,685,456,738,232,868,069,955,705,199,241,
957,002,392,497,559,695,162,608,896,405,092,821,134,803,828,394,176,959,046,
325,863,438,710,221,033,083,942,603,304,983,208,238,853,581,290,038,275,708,
434,843,984,580,302,517,111,821,693,053,976,527,972,456,877,276,045,357,097,
768,645,187,139,268,446,542,024,163,325,957,220,504,292,087,253,209,786,878,
508,625,932,936,288,232,023,300,675,495,045,113,564,475,755,361,066,941,190,
222,138,981,261,706,494,669,393,243,638,030,761,027,566,562,297,111,625,123,
517,854,814,161,864,633,803,020,170,754,558,276,328,472,513,904,049,619,066,
107,934,638,568,903,630,124,373,649,604,661,584,611,117,844,866,249,960,178,
775,849,023,201,045,209,089,847,727,289,110,157,355,381,731,347,715,944,537,
080,262,626,423,684,235,504,725,934,811,425,150,051,908,120,168,861,511,519,
577,987,257,619,322,305,922,150,465,871,240,276,472,913,192,760,856,640,243,
900,305,942,926,165,647,270,609,244,200,804,742,423,984,793,835,591,633,454,
357,103,894,428,778,725,774,792,657,775,278,619,599,942,172,819,403,806,107,
443,809,287,584,385,991,007,860,310,878,599,780,209,804,272,102,934,959,268,
152,565,652,605,991,057,248,394,782,944,031,399,977,082,786,245,382,089,058,
508,648,300,394,797,764,084,092,420,018,076,910,104,267,499,920,480,322,347,
062,338,658,667,415,635,662,554,929,702,367,632,185,913,971,506,305,773,972,
291,206,029,495,323,784,084,778,481,575,464,043,015,794,297,018,900,415,849,
969,893,921,921,097,604,884,610,842,042,338,926,981,954,135,078,031,851,399,
953,074,666,128,551,619,881,178,392,306,985,329,537,519,247,116,342,799,499,
055,245,693,328,013,922,760,515,350,368,298,401,409,719,345,453,082,702,521,
671,383,238,983,089,456,973,073,775,831,491,348,865,231,311,077,644,906,213,
941,731,818,817,504,675,126,700,988,648,267,993,980,360,334,539,900,622,390,
214,211,255,634,895,950,279,178,088,854,212,783,630,482,888,893,254,300,563,
760,985,978,550,621,671,114,844,352,816,075,983,770,552,726,224,119,902,808,
985,124,968,352,379,373,044,459,485,559,937,425,136,190,683,436,582,102,271,
247,786,952,337,548,242,803,358,239,059,616,324,464,345,562,912,823,049,265,
126,569,260,549,602,966,993,252,509,680,400,097,342,297,339,146,344,108,322,
293,257,465,881,831,704,700,770,448,414,409,089,093,965,368,890,294,347,107,
726,245,653,224,471,138,177,660,017,356,857,809,085,653,782,393,525,329,829,
646,384,028,865,625,488,337,155,468,466,759,457,696,537,982,161,274,933,146,
150,159,787,381,640,744,436,834,288,634,893,927,730,398,086,944,521,659,965,
187,641,212,558,149,756,795,229,023,717,773,677,011,509,191,691,615,177,313,
374,148,682,995,257,255,339,421,124,917,432,575,054,535,791,724,386,453,148,
046,003,461,694,528,461,772,176,089,049,184,456,723,356,193,764,279,640,476,
759,692,467,391,472,690,393,142,756,825,724,376,965,940,159,437,292,147,160,
351,072,924,310,558,769,746,438,906,411,970,435,305,883,847,516,196,623,425,
755,638,493,008,314,332,592,394,061,140,216,686,207,082,401,906,015,717,755,
576,236,392,865,425,179,009,509,590,437,077,644,251,776,954,738,572,854,679,
345,981,013,472,153,712,239,277,615,068,661,641,174,108,515,406,433,346,648,
165,238,363,779,749,279,617,303,730,982,668,428,644,064,935,471,870,703,486,
161,334,696,406,841,442,842,481,680,856,351,661,720,798,268,423,248,171,280,
692,022,550,329,960,538,224,149,438,678,525,620,167,914,357,139,939,151,464,
842,751,420,655,142,662,506,612,539,275,036,190,690,066,339,630,366,583,928,
310,793,615,015,090,751,986,372,586,914,040,934,977,327,733,542,284,431,294,
412,081,722,423,544,782,350,653,979,150,084,121,434,177,737,111,171,704,087,
479,835,495,852,641,608,682,659,716,640,180,062,164,095,370,230,539,513,507,
545,304,529,127,129,720,494,065,539,692,720,390,840,422,392,740,859,252,435,
605,965,777,581,028,475,909,338,018,068,215,090,693,139,223,041,741,681,545,
572,499,030,015,324,820,419,381,083,646,620,073,986,193,396,855,602,315,579,
740,362,319,436,958,439,415,004,663,527,136,291,489,173,037,296,672,215,356,
346,290,580,505,058,922,258,658,904,914,776,995,814,421,447,498,240,231,906,
495,740,832,111,441,669,515,647,910,087,932,453,327,403,731,816,330,406,775,
390,337,098,866,803,629,096,771,282,488,310,844,237,134,094,317,724,229,363,
524,542,532,839,030,287,803,850,312,333,451,828,172,861,574,764,872,297,840,
418,928,210,992,758,917,889,077,440,832,052,484,526,056,578,374,772,503,814,
421,119,766,495,447,266,697,139,031,098,136,784,741,381,300,922,471,995,215,
058,361,096,374,566,562,649,550,798,488,682,475,382,659,130,607,786,216,573,
236,340,947,274,559,626,030,823,281,983,093,868,900,868,649,409,603,043,762,
195,800,979,940,690,175,916,176,521,496,983,841,892,282,986,249,797,021,607,
979,868,402,189,415,625,286,036,231,147,324,974,288,422,141,565,093,587,231,
640,640,876,950,356,151,798,399,079,121,651,100,411,046,859,731,434,889,785,
589,542,459,568,598,064,937,148,570,743,779,649,047,715,889,576,319,874,004,
215,437,316,494,120,384,257,052,599,474,668,066,360,193,429,166,456,023,548,
217,470,777,278,973,912,775,999,995,847,635,387,961,896,232,210,272,246,858,
637,619,967,191,849,434,461,854,636,037,407,219,097,813,992,781,435,364,839,
376,077,860,629,800,997,047,129,729,929,878,351,778,398,223,123,613,488,989,
889,574,439,165,755,681,778,335,595,388,192,604,356,346,646,521,750,195,210,
002,124,782,940,993,934,653,625,347,981,769,793,767,566,902,803,270,813,894,
704,557,354,982,265,148,202,016,580,670,651,657,701,807,604,533,411,792,701,
391,238,701,503,569,687,669,987,821,980,682,656,297,475,842,868,884,861,931,
722,041,956,176,041,829,772,609,863,803,910,409,879,312,629,439,847,689,716,
074,455,393,665,350,930,309,272,595,302,395,505,809,194,201,541,449,850,912,
806,500,065,158,486,773,541,916,000,948,464,054,053,319,244,458,220,164,640,
199,825,995,175,811,659,231,975,935,904,147,110,567,806,543,474,596,021,907,
179,496,433,469,440,463,130,164,134,000,390,236,536,946,309,851,172,355,164,
206,276,304,047,995,533,339,650,210,148,258,376,082,947,822,486,187,080,134,
848,876,307,162,217,418,625,869,217,338,786,776,972,058,923,701,606,583,557,
727,998,466,249,683,605,854,581,748,409,869,326,487,225,231,491,711,456,591,
039,610,855,564,658,642,727,882,799,369,854,097,452,886,929,348,310,056,743,
915,902,761,427,246,921,278,377,046,316,597,203,691,095,177,176,297,305,490,
895,319,374,011,842,100,276,820,866,990,922,750,466,440,723,058,817,598,725,
313,543,737,065,529,742,518,534,889,870,624,561,935,426,055,070,751,748,496,
586,703,131,932,774,347,052,199,246,713,576,926,715,174,759,669,798,073,056,
778,467,719,354,313,536,994,001,032,731,893,602,781,481,117,799,773,234,445,
979,196,667,843,422,590,991,825,212,360,951,818,382,803,113,112,589,948,266,
539,271,385,982,816,779,159,190,160,244,773,949,639,962,721,702,350,320,450,
298,381,459,883,982,037,552,889,951,228,730,550,506,481,865,955,842,520,923,
979,859,825,571,400,887,639,223,491,461,911,624,883,110,939,708,224,181,841,
285,577,081,323,871,630,729,682,809,397,452,147,609,209,274,847,810,932,202,
569,919,721,710,559,593,673,974,809,455,293,107,019,999,660,160,070,263,801,
765,270,410,023,159,971,580,063,468,227,436,486,990,448,755,590,171,057,296,
997,050,847,620,987,198,366,363,113,463,846,298,184,121,836,907,675,892,563,
067,063,862,684,108,100,198,270,354,439,377,389,028,189,010,511,467,990,640,
367,553,960,674,838,917,933,374,664,690,764,427,711,911,634,278,392,825,519,
738,624,135,660,860,678,222,303,315,123,463,037,033,046,815,840,730,800,171,
934,839,147,750,895,488,436,404,931,853,700,214,620,800,961,294,260,851,814,
604,185,069,488,746,764,419,000,489,013,886,092,964,067,050,313,104,275,600,
257,319,981,980,927,246,600,536,255,372,574,308,619,682,902,549,675,594,348,
347,826,903,619,905,880,625,613,531,815,504,679,814,064,891,093,609,403,273,
467,183,212,436,053,429,047,048,857,093,341,475,383,015,081,140,838,019,229,
187,687,711,705,776,412,199,354,973,054,854,032,561,315,194,856,971,065,200,
172,360,521,384,626,202,284,555,498,497,730,183,830,615,692,984,189,662,885,
206,254,455,291,525,807,064,415,610,287,794,048,777,909,549,796,345,516,245,
965,735,941,177,785,769,905,846,767,740,395,372,983,968,683,273,216,697,829,
196,716,042,599,420,346,384,954,115,489,918,963,772,859,921,228,780,418,093,
848,616,711,758,959,771,810,092,958,634,786,005,947,615,025,182,810,026,836,
067,799,408,393,832,243,322,385,722,237,422,255,388,862,914,202,484,285,923,
822,222,661,660,824,211,565,396,422,540,816,584,635,584,574,028,620,016,736,
405,215,850,055,400,892,357,144,713,019,236,854,330,032,252,916,973,413,817,
666,132,534,924,555,186,044,428,062,744,579,611,160,430,241,165,657,976,532,
763,479,321,696,584,017,528,897,306,630,031,588,419,439,859,880,272,907,471,
779,411,715,791,776,253,792,800,848,132,758,548,010,340,680,816,277,014,023,
240,964,914,780,535,232,543,982,227,144,190,910,149,446,326,456,224,062,429,
508,651,775,774,014,655,888,759,089,929,283,097,892,484,607,430,481,847,192,
865,854,916,200,608,596,086,576,926,793,164,469,034,922,153,665,013,899,618,
152,591,657,677,610,066,864,912,309,779,806,384,596,276,503,157,281,555,428,
361,186,925,387,276,116,511,554,019,173,954,312,299,062,074,058,926,326,937,
433,601,329,193,634,108,640,784,269,787,139,612,094,388,403,276,003,373,769,
302,511,066,787,101,524,291,898,165,906,518,910,980,394,804,827,083,275,381,
528,187,126,385,036,733,776,792,675,655,634,223,055,173,473,536,444,069,407,
758,406,152,970,634,827,938,685,829,386,629,169,937,269,790,227,799,689,969,
582,825,749,375,608,355,068,476,005,231,551,233,084,444,928,510,551,219,872,
518,234,369,985,614,143,177,852,013,302,619,005,586,106,340,299,265,216,230,
360,696,913,004,539,972,023,685,486,284,987,654,436,613,986,954,097,793,594,
212,330,364,951,560,175,223,839,226,487,111,663,759,529,060,071,397,790,427,
003,662,806,522,674,312,623,078,843,213,241,096,661,243,954,304,225,445,155,
898,311,132,445,360,085,209,664,384,697,394,642,484,835,690,262,347,321,301,
589,624,492,192,187,299,857,092,316,164,445,494,978,293,321,349,421,676,666,
646,044,102,208,292,054,442,669,517,179,655,416,031,208,466,848,767,127,865,
737,166,649,560,743,671,470,064,686,743,853,360,633,076,055,392,579,104,808,
332,952,556,413,157,173,076,584,664,899,956,457,322,900,196,543,022,484,717,
691,137,472,622,194,512,420,830,380,361,401,721,562,898,385,809,937,716,361,
880,423,597,461,140,215,227,122,476,537,855,236,513,692,258,899,991,050,889,
058,860,962,720,339,623,280,195,403,986,122,826,271,203,366,786,864,612,279,
499,470,892,841,529,681,963,205,288,705,818,581,934,985,936,503,540,122,523,
990,924,773,369,789,474,350,569,894,643,419,638,938,381,084,805,656,888,793,
832,320,670,469,033,222,315,237,992,817,327,936,185,392,296,981,128,070,105,
761,023,551,587,801,461,794,947,007,477,407,929,387,519,626,522,359,461,786,
466,561,363,582,542,629,854,714,345,345,975,809,797,394,056,992,427,767,926,
628,172,569,468,217,484,920,823,493,073,592,279,365,026,972,927,854,554,248,
053,828,554,849,048,837,407,381,867,109,778,506,521,494,097,376,332,481,810,
103,101,388,550,476,981,466,997,410,032,928,025,431,271,774,232,379,939,694,
718,357,928,719,815,934,781,972,159,626,315,153,620,407,488,969,888,901,710,
356,648,819,827,588,573,534,750,360,498,487,654,924,136,184,035,765,602,316,
295,255,516,334,953,729,876,294,068,197,468,442,847,730,793,669,769,611,696,
567,130,500,832,944,448,814,241,936,452,413,170,552,188,371,440,743,799,447,
752,702,074,182,912,388,343,411,479,247,925,173,309,040,055,586,053,991,486,
992,301,889,634,546,985,944,244,907,901,366,159,112,811,588,794,896,447,009,
933,607,581,378,412,930,214,424,109,118,956,620,099,371,105,719,498,928,589,
344,649,668,647,763,073,885,580,491,648,539,534,851,428,561,566,845,613,115,
366,619,666,709,202,115,700,647,283,052,629,867,339,483,590,795,445,351,017,
362,126,244,347,327,439,664,400,625,022,835,909,489,035,768,914,927,635,038,
426,380,034,151,228,517,779,809,773,643,087,025,565,228,944,008,974,291,140,
912,771,391,115,553,533,970,540,587,242,314,396,373,675,268,607,612,433,903,
372,204,315,249,017,525,176,859,253,059,489,293,201,294,385,593,360,181,111,
161,882,384,841,032,389,449,266,698,537,716,715,652,245,764,958,765,619,039,
027,764,085,013,267,151,525,535,173,184,635,765,275,368,166,416,097,098,191,
456,714,825,736,275,986,310,581,637,207,992,369,797,759,667,091,686,575,452,
952,451,219,091,868,545,552,050,461,684,682,518,787,780,724,833,831,710,636,
671,808,397,223,079,155,554,241,596,041,656,438,387,151,451,325,777,373,657,
652,169,572,948,070,870,523,848,250,796,716,437,832,709,275,380,530,622,079,
112,665,050,979,115,311,047,100,017,529,181,028,002,924,184,751,749,495,495,
076,370,790,407,824,938,936,607,391,268,249,915,385,322,825,077,675,045,913,
735,604,791,024,826,039,727,421,526,564,348,244,766,246,432,449,177,915,806,
196,903,062,025,278,787,983,782,466,687,425,786,492,731,582,927,296,248,272,
113,726,367,686,050,449,128,124,338,769,213,938,225,884,154,427,958,243,358,
066,327,991,292,374,338,203,682,555,191,925,209,195,145,004,828,436,077,936,
141,919,247,743,035,502,633,535,293,617,876,261,418,581,413,165,260,716,718,
135,685,290,902,835,334,867,589,794,487,856,903,349,175,188,497,704,272,150,
563,397,593,247,202,760,484,281,303,109,668,945,304,177,047,738,369,595,501,
983,132,645,108,089,270,890,954,822,822,799,682,072,649,794,357,067,209,950,
452,670,027,363,484,628,288,050,016,335,668,268,725,202,052,160,274,395,848,
249,962,996,469,428,080,556,042,392,137,748,413,190,831,099,532,815,781,443,
295,290,824,012,685,953,353,056,947,321,143,374,383,754,356,085,536,260,232,
177,722,873,593,857,583,247,137,547,808,901,746,778,313,230,080,638,285,422,
203,842,150,665,617,146,439,620,101,073,734,036,127,421,286,812,926,737,290,
270,517,316,752,120,399,582,180,567,667,515,922,648,488,425,611,136,437,707,
588,007,429,585,773,874,889,950,954,895,001,246,577,409,066,970,656,756,556,
099,603,363,920,520,410,263,384,699,114,772,797,809,697,738,573,794,061,556,
101,140,462,933,445,879,611,718,766,364,247,961,271,765,387,173,816,301,360,
397,719,787,490,052,324,893,291,453,805,795,931,984,138,080,987,112,239,624,
788,987,467,208,697,196,103,618,846,772,867,168,501,161,342,641,521,719,144,
931,952,932,985,350,898,735,899,215,211,454,194,583,230,153,963,848,000,351,
436,578,233,816,399,472,671,593,083,836,868,130,539,360,821,713,432,840,443,
278,977,928,602,887,180,754,976,131,666,418,047,184,117,088,807,030,951,211,
433,955,617,037,341,540,582,892,828,926,077,689,635,515,313,806,536,009,944,
103,001,940,908,117,869,977,064,047,206,476,842,760,222,348,482,461,770,315,
895,842,798,910,811,974,970,340,946,698,819,983,808,609,025,050,570,058,458,
760,818,104,575,814,961,161,869,273,599,015,719,062,400,085,866,830,250,961,
824,209,864,638,599,241,204,134,576,943,363,422,580,879,466,634,772,785,432,
261,629,100,299,092,616,813,358,584,915,889,607,502,893,860,029,818,334,778,
264,708,012,920,872,209,383,507,357,202,989,184,058,484,326,163,545,548,151,
774,621,019,998,874,130,589,709,669,752,666,711,654,052,982,308,905,108,967,
826,632,243,952,396,303,113,465,666,696,098,914,705,430,048,100,064,227,595,
018,409,248,517,392,747,258,140,373,354,080,251,247,197,557,318,407,130,536,
051,079,304,169,836,134,348,486,489,499,402,057,229,747,365,055,028,133,736,
703,335,258,614,511,680,115,512,930,385,324,286,098,092,340,012,504,004,713,
970,897,654,492,086,501,097,944,042,701,931,554,167,633,600,827,265,376,922,
154,415,231,311,348,700,678,365,690,490,029,774,485,374,768,996,439,250,508,
216,006,822,094,954,097,184,398,595,708,996,115,205,445,283,316,161,267,050,
477,211,349,274,132,948,996,715,329,066,776,306,273,820,704,987,248,000,683,
521,751,682,207,779,557,594,950,001,819,483,701,395,415,938,011,546,000,070,
771,281,683,944,683,224,814,635,618,322,747,338,766,716,869,232,026,332,121,
066,859,414,598,202,481,392,250,333,619,588,124,394,193,781,016,879,100,397,
338,727,913,740,960,716,809,905,327,663,534,361,141,551,759,048,982,234,522,
027,330,563,953,016,013,361,918,928,438,526,867,235,796,309,079,706,363,617,
296,392,219,308,130,199,187,935,398,738,668,472,494,206,879,065,154,013,147,
989,357,768,287,504,121,361,671,313,268,495,409,832,367,412,266,922,590,151,
626,694,380,802,121,760,201,265,899,617,809,075,344,675,953,734,302,343,533,
816,682,113,332,974,611,734,365,600,997,573,114,912,873,763,939,306,204,071,
060,575,690,498,342,905,954,103,014,980,990,302,461,270,193,319,926,977,539,
940,879,158,422,728,573,540,087,371,739,856,376,752,444,293,235,850,967,803,
850,273,720,190,969,034,968,403,402,669,071,964,378,453,048,749,750,514,082,
235,656,730,893,317,714,083,461,096,326,058,964,275,579,370,458,890,849,803,
125,769,112,650,194,380,484,589,543,870,326,833,091,102,987,673,432,412,132,
721,868,207,279,998,652,968,013,303,209,446,455,348,652,301,444,221,826,872,
620,431,218,474,711,563,474,691,870,930,040,306,409,955,544,214,723,643,294,
504,499,588,704,782,107,714,289,925,510,543,291,384,571,308,065,538,312,401,
247,342,743,635,211,640,400,609,273,693,138,501,995,102,478,362,328,664,838,
693,018,898,671,356,137,021,253,139,959,099,938,920,827,089,765,578,408,401,
642,518,543,196,402,303,432,477,911,209,539,212,442,401,601,798,549,847,214,
882,295,902,550,360,400,417,816,627,615,675,888,475,119,939,900,852,311,707,
841,546,855,839,845,151,978,588,420,696,382,864,912,823,865,367,136,827,852,
525,821,869,005,840,181,225,773,892,232,389,399,132,761,145,525,989,562,683,
180,955,454,397,524,644,391,251,906,384,294,953,443,329,145,542,331,525,902,
156,722,593,569,946,529,827,547,107,771,074,289,085,459,814,299,353,433,122,
050,546,220,672,374,491,732,284,262,524,027,336,141,229,050,503,421,704,994,
418,516,597,756,375,983,311,898,060,216,668,826,884,646,530,220,259,851,629,
146,444,602,791,580,773,849,972,835,247,006,000,640,724,783,605,999,335,710,
613,423,427,725,907,305,729,602,856,002,005,496,358,917,297,361,994,552,946,
370,053,201,246,073,414,823,975,326,506,346,615,296,985,156,024,857,126,632,
991,795,846,070,389,038,383,608,944,126,466,547,027,589,610,512,759,149,565,
172,706,122,432,644,932,797,134,625,787,538,793,801,864,840,000,749,357,733,
824,191,677,587,200,153,121,442,317,770,863,011,565,908,337,350,316,603,215,
792,829,404,804,665,114,261,532,207,210,297,806,006,009,214,745,682,227,326,
261,023,199,666,548,451,355,709,626,330,556,643,361,806,267,055,796,913,285,
596,372,627,378,137,289,301,210,903,904,893,367,485,040,349,133,422,083,400,
408,913,850,395,256,681,338,234,512,708,869,795,054,374,170,450,178,889,799,
412,965,884,702,551,915,947,414,567,219,772,198,788,029,442,944,858,819,236,
330,055,127,359,949,360,113,100,053,853,391,525,985,125,406,773,539,843,069,
400,169,723,802,873,439,977,976,225,976,920,799,869,438,567,887,202,789,403,
656,482,131,347,571,930,849,152,114,225,886,830,104,669,916,175,259,972,482,
706,601,907,021,320,183,937,283,536,441,273,576,784,526,335,636,821,355,146,
375,079,156,863,036,764,291,388,711,265,696,275,355,786,677,323,451,340,746,
778,932,506,991,772,148,123,861,563,305,523,352,344,981,512,034,125,568,723,
492,372,329,082,009,850,899,618,869,448,940,965,008,280,035,945,398,409,840,
316,862,522,824,423,707,199,594,337,650,885,686,983,211,202,671,759,492,632,
824,927,876,928,895,124,598,504,698,630,406,943,760,944,453,095,441,862,399,
971,085,512,963,054,839,320,848,282,865,277,391,252,380,644,259,767,477,364,
999,801,235,376,910,859,168,212,061,718,796,731,532,853,030,213,225,789,755,
915,919,776,531,558,273,351,967,093,059,542,724,775,790,503,632,797,762,630,
460,105,907,636,645,780,543,724,255,930,634,822,130,243,859,148,722,885,861,
484,232,215,609,076,656,781,352,647,474,142,542,873,857,179,390,655,751,267,
333,511,939,452,111,831,327,095,085,506,506,943,338,162,339,058,950,498,671,
429,107,114,587,295,129,653,497,503,002,644,812,152,948,585,369,410,826,620,
546,191,738,766,967,115,956,088,238,777,960,596,120,882,321,963,386,638,940,
119,734,011,059,349,391,204,464,507,524,503,158,650,590,549,849,477,706,895,
851,153,978,914,739,379,653,558,626,014,717,958,660,277,911,577,103,763,916,
041,028,664,964,551,097,494,564,701,859,751,743,920,687,408,255,595,719,074,
287,584,770,306,893,606,750,675,985,239,984,008,372,683,247,299,063,963,770,
260,876,570,835,235,071,705,906,444,209,336,776,648,963,165,672,270,819,039,
795,138,771,680,930,599,385,865,350,853,107,477,527,702,516,952,353,626,764,
402,828,915,957,759,975,187,442,234,619,556,048,400,692,091,298,487,773,333,
641,223,516,129,369,845,184,314,476,648,234,011,766,430,649,999,688,050,060,
222,899,293,382,936,213,909,398,843,936,681,514,098,086,057,713,403,268,946,
939,263,925,518,772,057,511,805,896,330,649,832,045,297,262,591,702,466,456,
440,348,708,794,896,711,251,368,514,058,412,433,273,408,532,725,635,073,065,
547,948,363,072,676,850,633,960,486,122,865,323,433,922,049,697,569,984,854,
978,641,825,477,545,304,607,477,425,578,984,869,212,723,302,088,258,536,203,
332,316,000,667,945,390,575,791,346,105,965,227,500,067,162,353,132,463,636,
282,570,866,874,110,864,580,180,171,927,344,279,622,554,591,016,855,396,558,
198,521,316,181,193,273,404,465,296,110,929,158,187,967,726,940,835,430,840,
532,526,900,479,559,896,370,013,904,664,835,012,715,500,529,687,718,090,311,
703,101,603,424,769,868,692,728,585,574,478,572,818,722,618,773,095,511,400,
081,432,782,393,760,270,911,434,643,258,545,042,245,190,162,511,306,572,952,
313,331,411,747,927,872,339,797,603,694,019,774,827,000,286,814,993,085,877,
204,063,142,133,663,186,944,141,982,716,399,261,973,459,112,340,388,426,549,
796,811,491,177,322,096,051,712,662,391,528,070,307,567,086,042,179,920,264,
636,649,139,368,997,400,021,885,299,545,732,181,465,180,565,082,686,027,400,
376,085,003,695,065,604,349,276,348,825,478,964,356,894,996,403,086,549,110,
563,991,752,230,042,128,217,539,308,646,938,607,836,421,288,696,241,403,230,
716,012,187,556,542,032,404,529,134,008,928,115,198,975,780,319,813,437,367,
019,077,178,366,792,345,406,441,045,600,784,024,669,533,095,729,775,079,829,
183,818,196,613,397,280,488,135,657,838,197,596,729,586,271,752,261,952,201,
946,181,945,614,553,791,850,661,790,689,295,037,378,985,308,215,023,555,892,
400,956,134,730,513,832,941,868,946,007,924,757,615,447,866,731,504,094,573,
480,223,157,810,478,912,499,915,600,065,942,757,838,366,202,325,516,005,583,
598,873,444,114,557,189,407,898,174,511,243,324,705,106,097,985,469,402,263,
827,574,103,686,976,341,262,537,775,817,225,131,498,107,407,606,323,654,443,
763,967,689,944,562,363,198,819,160,815,481,106,773,207,910,784,607,156,793,
806,242,105,448,971,811,666,319,358,054,953,673,314,000,881,040,298,445,407,
379,981,474,335,075,928,675,736,255,414,030,987,631,197,639,572,649,148,767,
605,465,533,612,454,449,990,323,614,244,468,663,400,992,279,916,814,255,975,
785,874,326,306,530,325,728,406,428,339,511,554,299,071,807,383,246,779,036,
154,003,786,081,277,235,901,245,668,354,542,019,689,344,101,585,249,637,532,
103,168,292,491,604,562,490,884,598,386,085,994,068,473,960,281,321,254,051,
821,533,398,171,714,536,638,797,753,897,893,163,476,182,967,024,523,988,449,
507,479,592,977,405,362,412,908,190,386,868,225,172,653,097,725,141,779,776,
561,216,659,394,129,451,439,100,381,506,661,731,624,227,866,446,821,953,709,
999,375,152,516,904,825,770,772,628,352,890,617,036,525,195,791,514,232,323,
679,707,240,614,028,523,845,062,419,655,115,022,503,477,975,646,001,605,860,
139,166,858,481,696,286,372,284,313,984,667,032,896,502,578,782,547,034,210,
827,509,669,153,227,577,369,524,982,100,930,797,470,147,345,519,125,582,626,
508,520,578,510,455,132,263,275,970,423,613,994,361,561,499,844,161,050,550,
114,342,836,623,477,944,288,664,851,039,615,166,247,831,997,583,998,822,130,
493,456,421,566,250,586,440,931,372,328,920,429,411,573,517,582,335,400,475,
456,821,453,254,753,781,021,771,366,414,322,523,910,683,277,453,272,855,419,
615,469,733,503,106,198,976,749,371,699,673,852,435,381,625,948,536,741,447,
710,991,542,906,500,060,353,856,331,298,258,092,950,219,707,030,603,382,988,
154,354,091,773,703,822,351,861,204,336,866,745,504,237,825,588,468,193,157,
647,044,419,592,353,826,746,356,123,562,448,638,300,223,286,760,013,463,203,
870,266,907,025,066,013,452,257,262,869,367,446,141,463,145,086,354,200,684,
082,618,961,522,167,099,483,026,473,340,432,818,555,704,078,157,234,223,475,
701,513,715,254,495,577,736,817,695,883,124,048,486,522,315,366,021,063,705,
627,869,884,453,532,257,099,259,669,411,310,214,567,480,109,690,441,291,054,
326,713,165,974,129,580,119,187,863,266,341,797,524,712,197,425,950,913,933,
681,981,893,431,141,046,842,361,061,774,826,067,535,816,741,359,096,376,946,
976,472,412,394,791,901,850,912,275,467,773,342,902,267,701,231,462,481,679,
664,120,390,723,817,520,423,489,989,126,016,863,700,114,101,599,556,731,519,
062,492,008,616,757,324,612,959,653,509,729,371,789,135,926,214,426,084,659,
972,528,176,912,503,404,881,902,618,682,492,926,878,239,529,048,214,493,868,
850,939,377,080,535,133,755,950,355,283,713,522,729,217,897,577,515,490,360,
517,328,109,518,062,747,304,318,949,863,385,369,276,177,899,841,054,189,780,
726,295,106,718,705,983,999,599,791,496,926,183,835,660,740,931,108,401,983,
256,932,471,590,440,738,175,152,790,973,429,424,554,221,248,938,141,270,631,
612,728,418,639,170,368,158,917,206,194,056,822,440,639,822,745,354,752,182,
976,088,226,904,980,757,752,256,749,954,628,448,825,706,736,554,892,933,093,
537,745,883,011,176,115,560,562,432,021,488,264,099,436,389,155,707,589,781,
799,052,356,208,635,392,377,574,710,370,337,000,359,379,615,893,543,850,706,
319,942,947,358,560,536,282,312,210,843,312,283,873,413,060,063,330,522,605,
298,919,420,062,895,919,417,583,025,821,143,495,791,175,439,869,355,937,968,
275,111,445,385,336,178,486,825,953,822,522,025,213,649,473,129,621,540,326,
183,949,835,964,838,570,241,739,949,360,409,709,238,545,308,953,578,552,715,
416,863,335,329,325,584,349,810,409,750,764,592,053,008,159,925,598,087,626,
716,192,558,207,214,801,964,863,969,969,982,646,630,580,740,085,287,844,808,
730,696,993,134,017,965,180,600,911,853,774,697,952,166,307,213,843,966,465,
416,276,544,547,963,346,208,292,738,872,451,674,229,954,074,487,016,581,928,
021,484,486,597,476,589,125,880,534,599,448,742,847,062,474,047,087,838,102,
502,957,710,962,202,161,322,104,632,219,207,081,135,094,203,382,194,296,985,
473,732,201,613,368,878,375,081,406,965,886,049,120,307,293,603,703,503,858,
086,253,230,808,319,268,289,272,241,595,175,470,179,521,752,137,766,378,283,
963,294,015,449,558,266,219,237,380,596,998,104,015,432,271,225,840,208,110,
825,736,789,933,645,809,771,623,494,298,286,178,832,406,388,185,280,289,504,
727,985,703,193,843,648,042,756,723,538,907,048,905,905,503,862,632,089,309,
658,470,682,915,364,660,524,012,649,013,037,337,252,907,184,945,937,291,153,
092,629,657,784,725,009,296,026,988,340,769,452,748,799,902,951,603,632,602,
807,897,406,713,111,810,124,927,089,892,825,989,132,212,975,047,869,898,265,
825,052,634,629,393,866,786,430,184,867,563,229,156,921,637,482,622,604,404,
695,528,766,750,131,804,761,386,348,383,406,800,501,057,042,883,450,222,609,
842,559,439,764,025,427,416,671,246,887,653,069,928,028,664,682,420,408,254,
200,680,873,866,936,346,956,255,532,960,749,494,391,686,523,933,845,977,339,
170,742,735,311,738,995,838,811,669,160,257,523,535,902,341,510,063,670,023,
660,446,364,370,210,399,241,612,944,818,808,156,522,601,515,586,572,782,110,
328,117,250,381,910,127,554,394,491,491,221,300,685,448,034,618,716,985,933,
663,125,750,663,538,228,654,456,464,789,696,280,807,189,745,992,622,786,932,
377,844,107,384,237,405,427,046,962,365,695,034,003,782,475,246,179,931,195,
286,242,873,053,996,036,020,239,877,139,533,429,821,250,427,866,199,663,029,
473,976,684,191,514,652,849,003,322,441,951,351,853,119,341,253,073,996,136,
370,891,549,325,703,591,701,616,718,098,998,847,450,212,670,558,996,267,084,
130,699,294,171,733,333,449,198,805,065,237,196,189,960,999,127,134,689,117,
558,459,861,317,113,682,619,113,926,773,172,525,080,471,599,952,904,995,606,
701,845,417,752,522,426,518,281,809,764,334,759,303,117,800,176,582,685,834,
722,957,786,264,635,336,394,730,917,809,474,440,094,947,535,226,423,076,842,
131,187,056,044,835,614,396,709,566,090,673,999,522,285,732,906,590,123,704,
501,344,084,044,382,177,578,177,389,511,832,394,671,311,741,550,901,076,498,
994,386,911,499,673,574,271,645,642,798,006,454,213,689,725,944,338,191,538,
779,711,494,976,721,836,205,780,694,368,186,260,827,187,823,719,517,232,654,
467,796,914,530,331,156,193,883,077,506,043,282,575,666,910,743,546,364,110,
075,817,873,990,140,234,645,912,215,307,553,901,498,587,760,895,966,313,417,
171,981,675,396,226,159,467,687,597,197,712,978,617,087,026,995,889,467,078,
174,094,211,206,566,028,077,662,219,501,176,284,712,022,593,009,569,301,663,
339,527,556,775,581,935,562,386,529,915,895,721,753,966,592,918,087,647,520,
813,989,717,534,041,056,229,345,102,497,859,572,667,373,538,046,186,037,656,
270,128,087,460,890,458,028,047,712,102,959,330,601,771,197,257,073,340,315,
501,570,951,799,000,145,096,625,738,170,384,413,099,850,317,837,527,202,821,
348,706,676,717,009,080,663,173,867,561,533,987,205,342,181,965,428,800,367,
502,549,455,789,459,793,387,431,913,725,624,709,319,972,298,097,531,801,072,
463,961,627,298,555,849,112,147,373,625,108,568,473,629,229,416,082,562,791,
266,928,740,971,044,621,493,114,430,841,036,727,358,302,383,219,899,941,476,
442,757,783,629,188,818,041,378,692,619,834,678,947,541,144,306,828,434,050,
997,727,362,192,848,063,583,081,695,320,830,289,896,791,773,019,735,647,431,
266,676,071,269,612,464,637,366,997,724,329,866,051,161,000,817,544,489,224,
456,460,853,465,995,011,177,409,413,542,007,690,502,451,858,104,256,748,517,
529,223,048,371,336,461,946,737,438,432,589,579,222,685,174,851,215,099,982,
172,130,454,097,441,080,847,421,708,102,964,905,045,735,815,100,390,397,071,
591,455,647,517,303,735,589,815,197,375,250,952,402,399,191,276,364,818,794,
257,192,908,200,078,073,921,762,058,234,306,646,966,836,632,277,695,497,230,
195,687,192,980,288,498,132,349,110,334,695,894,048,175,263,897,446,960,285,
088,340,082,484,861,136,973,348,945,882,497,833,400,189,346,254,147,827,658,
150,542,492,947,759,467,828,700,047,939,857,116,833,025,136,237,718,659,015,
012,742,056,331,307,759,113,673,957,652,987,991,068,297,486,611,670,342,906,
693,116,006,767,961,638,966,839,066,951,500,322,071,618,894,192,392,665,313,
629,420,494,090,022,255,636,503,492,209,605,258,576,401,454,822,147,311,122,
503,216,439,895,379,106,816,915,827,392,677,305,487,174,396,835,755,937,617,
600,328,764,670,936,234,674,453,604,243,524,689,233,937,333,880,323,837,431,
099,175,482,584,496,001,967,914,702,864,167,757,246,452,969,644,943,519,477,
129,970,376,852,541,098,797,907,515,810,688,679,376,648,421,611,323,620,194,
202,728,331,265,520,368,950,211,778,926,545,261,202,128,694,928,902,694,279,
120,993,362,880,567,301,480,700,128,895,875,763,331,034,640,625,178,972,088,
914,091,255,084,792,469,444,127,101,518,252,792,166,037,600,141,781,150,885,
496,288,252,947,377,400,558,714,144,905,553,865,884,748,185,180,160,050,987,
192,661,137,758,443,714,360,229,201,031,401,366,674,493,789,635,929,963,393,
153,813,963,291,709,729,874,516,994,499,480,876,867,942,666,447,167,549,137,
063,865,165,091,168,800,959,987,577,116,795,340,272,620,154,103,935,163,135,
564,901,670,401,394,195,435,642,446,485,257,969,097,798,717,089,381,223,162,
498,321,194,658,868,621,682,976,637,756,696,392,464,740,378,603,741,430,159,
479,876,736,172,788,010,278,074,983,347,971,522,405,356,185,427,674,827,908,
783,960,772,351,656,989,134,210,638,249,311,011,230,516,833,568,699,031,486,
612,922,715,318,078,494,145,098,279,962,352,037,467,755,324,444,407,116,472,
423,351,818,104,573,580,632,576,718,644,149,654,098,534,804,579,164,799,988,
905,437,468,150,914,349,436,988,122,912,665,155,059,874,341,224,929,754,640,
358,735,930,249,886,389,470,774,155,529,300,555,901,275,054,585,009,601,093,
475,000,769,764,777,361,365,752,440,668,092,402,599,329,429,730,987,707,283,
291,034,465,958,679,750,827,743,762,717,714,156,087,579,044,382,863,459,400,
644,416,056,633,145,587,071,881,484,021,394,511,968,742,558,580,986,810,552,
077,343,293,032,887,254,247,510,806,881,603,436,984,768,742,464,362,886,413,
701,502,705,047,372,229,602,569,236,573,569,082,605,953,103,071,983,535,613,
361,727,991,385,319,237,706,259,492,065,188,004,764,542,821,353,985,036,149,
755,891,540,760,226,746,475,581,740,263,664,102,817,009,279,401,203,262,126,
975,804,760,014,024,046,559,284,797,584,396,489,461,639,505,592,336,787,180,
797,027,396,354,750,997,580,501,173,093,559,586,589,516,251,552,259,779,939,
796,156,025,800,439,719,976,193,909,571,133,838,143,036,394,549,690,698,398,
356,138,653,433,292,905,592,927,648,089,519,280,501,393,653,755,993,712,143,
240,715,141,015,107,652,909,352,000,148,369,741,591,358,723,197,219,086,282,
288,793,490,771,768,382,062,575,677,353,389,293,290,797,450,695,627,748,093,
826,095,399,148,088,917,556,401,861,766,190,912,408,818,044,537,811,552,281,
127,870,456,830,265,060,711,058,961,163,479,071,901,838,164,874,272,440,984,
681,331,094,857,860,267,594,461,646,789,347,869,299,386,094,194,121,440,449,
335,883,907,593,354,980,791,586,397,200,073,419,673,636,113,004,376,758,767,
280,469,337,464,792,209,854,666,336,816,657,421,559,571,747,452,275,814,577,
926,118,663,826,760,895,276,424,783,292,207,058,370,519,035,974,669,370,443,
613,963,872,980,490,575,647,937,408,717,071,938,304,827,012,567,617,765,232,
075,999,015,712,692,002,264,604,711,780,285,424,193,435,146,283,392,583,316,
540,016,764,115,853,411,657,783,229,674,982,362,745,282,194,557,988,587,629,
660,615,924,687,308,025,739,454,942,671,284,925,101,406,248,713,555,030,759,
775,652,663,395,803,233,054,237,271,622,511,395,151,625,008,688,733,506,805,
648,409,648,662,027,222,074,484,455,518,876,117,711,633,785,079,922,711,438,
875,748,727,816,436,212,634,895,204,033,786,547,680,667,163,023,727,646,094,
221,990,677,135,516,480,801,517,333,148,738,271,991,060,642,326,131,831,045,
188,036,133,270,556,791,118,581,974,773,747,618,333,134,957,472,059,605,307,
307,445,327,662,315,759,107,017,200,007,105,989,895,308,880,993,293,342,808,
948,379,738,581,487,529,524,080,404,254,045,134,937,094,491,104,913,852,181,
437,749,888,282,297,537,373,686,616,273,357,371,556,060,565,246,861,905,883,
951,621,708,397,013,625,023,276,101,196,054,730,669,430,058,575,451,847,607,
073,808,456,031,180,934,179,967,685,368,157,249,593,989,370,416,711,917,393,
978,602,460,472,824,164,880,774,111,389,197,658,061,565,297,687,514,567,982,
933,868,129,440,233,310,877,558,410,034,858,701,612,098,864,957,673,082,217,
147,776,783,296,258,099,370,127,121,823,235,742,458,058,372,248,391,516,442,
099,963,305,194,393,574,096,276,477,378,118,532,059,573,120,638,781,151,725,
572,649,516,912,005,077,006,309,527,020,847,822,865,430,065,909,625,545,041,
701,568,807,328,514,581,431,036,910,405,619,889,038,784,055,204,023,605,149,
863,503,061,430,432,044,688,190,305,612,694,118,838,228,648,469,953,163,300,
343,564,754,891,093,591,385,815,527,518,691,610,502,450,666,627,679,603,479,
729,126,649,269,616,337,187,985,356,774,670,207,300,357,535,127,970,987,761,
000,704,801,833,854,452,120,167,779,767,631,784,125,531,010,113,896,808,281,
158,101,357,948,737,686,545,094,518,601,738,654,190,784,763,928,635,375,389,
228,460,963,329,981,085,237,674,553,645,584,089,754,558,732,408,420,402,967,
201,911,709,185,637,701,352,561,731,176,800,580,379,997,909,835,069,822,813,
333,558,138,576,753,509,143,806,841,976,620,003,262,622,069,293,862,993,053,
110,025,491,024,918,359,608,612,138,569,987,619,409,024,623,403,261,108,574,
793,646,895,542,633,079,231,923,311,408,179,121,983,788,532,586,433,743,459,
339,338,777,629,363,745,010,930,396,960,726,051,548,008,651,325,638,576,024,
047,749,459,429,644,318,570,000,046,243,330,460,658,151,377,211,458,587,143,
591,337,440,221,437,460,264,793,293,466,033,903,884,313,799,051,635,781,040,
814,787,057,588,926,589,065,589,604,812,354,831,713,117,145,840,797,462,072,
873,524,587,624,330,211,436,840,883,315,343,700,316,550,589,297,361,051,024,
639,638,207,767,479,614,582,822,565,555,936,313,445,541,151,361,002,463,028,
107,862,598,568,308,909,669,443,079,386,094,793,486,707,319,567,125,374,049,
069,452,236,227,270,774,160,186,091,674,968,794,618,911,575,013,571,765,951,
743,917,308,610,078,759,039,754,654,672,143,442,785,292,427,693,737,644,981,
263,795,859,759,564,335,415,914,098,693,845,026,610,235,698,272,321,605,687,
746,166,025,044,655,768,534,830,274,911,916,174,290,968,301,719,929,420,811,
122,826,142,516,536,594,081,060,395,819,064,959,470,569,694,350,719,084,969,
818,370,403,462,917,724,712,908,318,376,349,353,198,728,609,871,842,851,232,
913,247,513,136,582,104,024,091,614,225,182,727,085,834,583,559,103,981,200,
244,791,183,896,853,819,486,617,738,433,776,391,694,547,455,673,935,104,198,
113,696,832,085,272,229,348,777,679,387,486,528,676,138,142,202,310,832,715,
245,520,413,600,410,676,155,273,547,693,665,190,119,730,987,693,582,778,496,
957,339,877,368,857,081,239,068,786,952,448,156,100,762,264,679,844,956,418,
508,101,418,276,301,449,272,137,269,501,385,170,848,063,236,712,134,853,635,
642,037,793,118,381,577,044,844,536,745,384,562,751,374,823,150,885,825,888,
355,753,395,656,848,218,807,419,529,388,605,648,790,742,065,232,119,607,941,
643,262,605,438,317,326,744,714,249,441,879,565,102,961,808,845,494,382,900,
436,458,479,440,079,045,428,360,303,537,042,824,287,966,750,902,952,221,397,
926,307,150,284,018,928,445,948,503,526,145,607,117,185,594,808,778,883,308,
261,583,210,620,539,481,539,144,744,163,132,225,107,946,793,069,150,182,148,
504,949,289,997,278,473,688,025,981,555,912,792,950,757,998,216,970,186,208,
713,332,582,181,052,723,559,530,445,279,170,213,430,666,205,810,834,835,265,
357,255,508,928,154,987,513,506,205,088,269,231,720,791,247,192,924,583,717,
628,213,733,725,178,675,070,068,694,334,304,088,471,612,792,956,815,350,708,
700,293,764,192,918,301,828,933,965,307,848,099,533,449,965,731,492,678,374,
136,933,360,443,934,538,834,275,399,029,935,619,448,528,915,973,595,175,161,
320,522,279,650,832,446,608,720,622,727,525,399,968,597,285,149,024,938,326,
707,997,870,986,803,547,639,461,437,622,912,084,795,285,026,385,273,767,057,
673,159,268,238,808,978,944,714,815,816,723,990,397,871,932,468,465,221,996,
182,283,883,953,231,036,629,346,714,530,618,452,867,186,038,865,345,666,822,
229,726,417,761,005,306,309,847,248,798,350,519,194,605,524,002,456,765,249,
848,144,742,621,082,230,159,739,336,206,127,913,777,557,359,170,508,941,080,
171,538,692,247,590,900,305,871,162,172,027,339,929,172,075,869,759,364,930,
147,561,315,105,788,643,642,268,225,644,284,710,682,193,054,674,153,483,624,
593,985,452,085,012,057,695,978,284,782,945,872,964,517,722,662,261,057,222,
520,402,661,174,377,778,349,503,174,605,678,562,681,131,220,111,677,651,034,
770,316,556,924,680,128,742,554,383,984,785,198,158,332,571,629,661,721,816,
379,749,977,236,736,353,362,437,636,447,878,307,691,738,096,491,256,003,094,
629,287,392,148,263,904,381,181,059,107,171,838,354,954,567,755,921,088,705,
227,075,956,843,747,544,705,283,427,597,016,963,095,261,975,880,865,730,372,
925,294,844,025,891,424,713,760,061,771,032,428,412,755,470,536,124,696,219,
924,249,052,444,677,456,767,254,518,032,024,070,360,544,344,480,248,407,431,
821,526,985,529,246,235,772,006,394,942,707,653,600,838,722,263,176,657,738,
761,462,965,600,764,617,539,597,122,751,841,980,555,100,486,905,637,842,975,
110,999,615,075,679,844,573,347,772,696,840,437,513,686,858,609,398,012,632,
119,086,079,610,759,100,174,372,975,610,230,470,560,881,720,138,206,693,640,
985,585,183,695,461,792,538,920,359,033,172,509,976,043,714,387,970,753,441,
048,413,721,311,318,910,335,808,532,598,402,291,953,271,796,333,250,887,666,
938,260,029,613,596,803,500,892,031,152,301,027,627,997,718,272,525,275,707,
129,260,688,420,903,097,480,833,001,558,125,224,650,829,674,638,154,524,828,
202,066,697,086,006,339,456,862,842,039,757,575,430,187,338,667,581,428,941,
627,594,871,251,717,107,182,381,819,221,714,281,619,934,032,361,638,116,619,
101,784,448,279,258,716,324,211,992,312,513,853,044,194,341,356,731,472,371,
859,524,953,212,264,515,186,493,019,054,376,840,022,478,235,787,448,068,884,
492,126,004,975,473,384,005,694,893,077,256,477,309,286,184,975,648,245,450,
338,743,528,836,434,411,700,790,668,790,684,395,518,338,111,090,785,228,889,
821,795,766,716,532,602,672,234,386,619,539,521,303,885,509,273,082,316,922,
629,658,877,701,473,418,204,676,707,344,567,500,097,503,478,312,017,604,887,
258,216,958,870,919,609,338,859,927,300,772,268,303,576,740,889,507,164,346,
386,020,244,805,853,238,384,748,092,439,861,367,371,135,653,935,874,701,908,
351,625,349,609,344,786,369,830,021,621,688,490,796,173,465,437,517,834,466,
667,639,774,380,603,968,493,997,965,188,604,148,932,126,092,852,345,143,326,
230,154,441,574,678,270,248,519,657,246,162,735,678,392,434,836,437,462,007,
970,026,249,050,490,362,555,240,275,652,231,714,994,253,873,204,496,666,100,
458,947,786,612,541,741,229,383,374,469,445,222,016,750,200,775,315,919,077,
652,562,296,395,172,194,995,026,673,743,886,096,505,658,624,870,664,791,572,
906,756,378,592,591,383,639,100,271,293,136,975,637,245,580,274,976,010,786,
250,561,940,810,524,515,041,009,598,889,549,175,040,128,631,827,170,473,679,
639,356,237,163,114,144,774,356,864,080,011,047,544,119,763,328,726,877,638,
368,064,364,561,441,457,602,747,108,107,674,436,211,578,615,683,383,298,031,
766,636,900,464,138,072,032,173,012,890,005,087,738,080,304,597,025,582,218,
008,276,763,868,144,826,325,845,214,498,875,834,472,235,114,893,754,096,222,
792,979,804,510,733,225,565,554,681,039,617,158,711,221,580,994,001,060,547,
909,381,013,194,784,542,460,006,787,227,604,168,540,629,302,058,216,434,476,
645,258,048,114,774,640,709,559,700,877,647,002,215,785,202,128,599,993,265,
894,792,709,790,122,908,820,996,504,528,916,787,636,413,783,347,143,124,908,
577,673,422,129,617,744,893,807,346,270,502,124,182,347,370,070,868,442,940,
222,507,490,041,853,693,453,204,313,748,578,079,028,251,212,676,437,258,470,
726,809,151,850,791,070,868,753,378,982,162,232,815,276,596,668,310,247,108,
894,644,286,567,426,292,471,364,437,154,416,235,335,466,238,660,853,884,658,
838,660,692,374,037,923,179,801,704,796,898,197,622,514,257,043,209,153,594,
773,107,566,610,507,468,552,929,819,312,248,137,443,392,624,024,772,856,495,
896,237,366,874,083,577,643,064,757,296,065,599,573,523,750,225,940,291,033,
970,487,665,310,501,115,008,995,107,154,313,613,973,227,836,834,408,677,169,
947,000,476,547,239,457,395,132,369,874,724,392,969,333,561,480,038,311,884,
469,389,177,398,617,385,809,699,707,731,445,686,384,984,282,981,691,990,702,
118,452,561,219,923,952,796,768,514,070,103,403,730,135,270,094,875,253,547,
591,286,680,079,956,204,056,604,352,847,341,933,339,442,356,021,537,123,560,
100,797,549,693,140,986,052,629,440,933,781,419,060,619,539,720,882,787,157,
134,531,867,917,500,412,056,371,256,313,206,329,322,875,810,758,390,882,879,
288,657,106,825,835,957,137,316,313,822,016,205,565,848,855,896,753,401,390,
174,379,453,632,475,201,214,365,426,456,282,975,562,594,352,925,796,034,251,
995,194,592,198,368,704,340,372,673,325,308,624,208,300,809,996,987,673,116,
083,952,081,950,043,719,107,108,975,109,684,796,502,789,241,312,991,128,579,
130,618,040,461,558,132,197,992,608,824,133,461,377,015,137,303,835,616,371,
477,989,628,020,920,719,756,697,098,069,765,178,235,772,178,970,696,858,038,
035,139,146,139,476,217,448,971,901,507,349,850,415,835,691,784,065,262,869,
511,167,160,927,524,132,456,915,768,656,651,022,524,982,582,299,151,807,519,
550,623,886,010,060,624,202,198,757,382,982,013,990,439,311,823,472,039,232,
013,654,672,820,468,691,298,161,902,130,902,407,772,401,185,216,272,768,549,
840,241,805,287,242,505,049,443,379,043,738,799,207,139,492,189,043,474,617,
441,243,035,449,577,434,862,900,341,303,051,649,831,665,799,605,507,764,564,
517,801,935,721,011,056,336,518,278,896,268,953,939,902,736,045,181,580,777,
847,777,424,200,985,679,434,090,082,983,177,800,656,620,034,328,252,824,287,
443,674,842,623,207,916,756,505,030,877,035,521,670,623,248,306,623,967,745,
160,751,694,758,746,855,690,135,616,378,108,965,082,423,982,990,416,117,147,
331,965,917,835,532,504,120,773,214,529,902,510,162,195,731,734,293,228,055,
073,136,764,165,377,706,009,335,904,441,231,672,304,665,341,351,174,338,782,
271,443,295,384,294,159,125,633,808,266,376,789,022,978,690,789,809,558,762,
529,619,405,631,351,029,641,569,879,657,169,933,418,101,675,169,505,439,680,
363,113,846,066,914,558,175,729,273,446,848,605,547,488,919,306,273,573,002,
984,981,919,169,052,906,834,837,676,778,369,434,654,182,071,236,761,671,773,
267,419,808,229,538,032,809,638,596,174,761,425,653,821,540,113,506,063,377,
303,990,428,047,679,805,543,958,738,269,453,119,205,460,119,229,446,286,714,
575,373,245,192,358,924,525,843,283,807,729,340,442,638,958,853,157,657,107,
392,540,214,838,078,797,289,041,645,515,237,485,982,626,178,836,519,481,707,
250,156,158,407,678,474,344,141,218,772,337,982,099,283,256,271,463,436,575,
505,143,648,946,842,176,120,324,512,506,367,292,805,877,901,787,637,425,494,
975,809,446,035,698,062,572,360,922,113,999,376,699,055,126,808,331,747,187,
786,553,210,912,624,106,789,955,560,075,796,466,696,972,492,952,564,476,704,
251,745,059,867,173,181,940,483,032,047,002,160,377,653,369,407,207,461,705,
682,202,114,109,944,927,521,499,496,703,338,084,848,097,332,187,026,695,243,
805,280,489,884,340,660,362,555,138,123,694,341,895,467,574,422,239,717,342,
396,157,342,673,725,885,986,056,334,952,626,821,274,213,914,072,252,588,838,
677,611,342,319,240,190,156,453,515,009,291,453,694,666,411,371,083,036,575,
039,428,442,978,025,515,031,469,395,729,840,195,694,518,030,797,513,731,917,
277,175,995,618,066,059,301,196,898,228,240,512,122,368,253,008,390,705,006,
741,110,700,005,891,997,282,367,811,309,493,745,205,878,501,310,864,002,227,
369,587,169,947,966,940,673,216,713,723,871,618,391,970,437,925,139,132,869,
072,603,502,870,626,519,411,706,358,098,587,445,950,885,047,563,190,723,602,
973,810,372,942,719,587,122,136,299,557,046,247,527,640,211,490,706,509,334,
848,474,953,467,267,674,556,723,832,592,792,004,212,204,311,399,774,370,587,
549,082,602,927,870,637,494,986,298,076,847,484,375,625,043,641,107,528,767,
429,933,861,950,751,146,730,565,313,433,919,030,485,166,503,823,752,054,082,
223,402,337,902,536,997,741,717,702,139,545,567,379,869,957,847,415,755,989,
243,985,609,683,777,162,986,892,181,693,995,193,659,579,406,511,838,533,889,
847,723,414,646,838,547,156,373,913,258,234,816,145,315,895,072,896,651,471,
439,002,175,428,355,556,189,921,737,389,849,172,357,209,564,696,918,499,645,
579,631,325,683,774,632,541,342,377,938,989,342,095,525,960,084,698,289,225,
117,943,216,509,001,216,962,952,753,461,475,718,960,280,310,278,428,910,779,
237,951,952,641,019,426,510,644,490,410,446,848,665,384,026,178,597,178,517,
515,658,988,428,013,455,932,732,157,178,326,740,921,054,231,403,897,710,022,
933,846,582,915,496,696,284,960,085,100,773,240,302,115,756,509,616,413,796,
087,535,455,269,211,101,007,666,314,967,414,057,696,910,008,403,907,368,465,
630,117,961,921,449,397,413,251,094,485,241,114,874,636,665,734,289,231,412,
303,313,438,484,178,155,485,003,375,748,265,314,509,326,747,324,471,944,479,
053,772,317,844,678,442,970,200,168,191,207,157,337,637,235,855,839,148,327,
609,186,842,857,969,807,484,548,121,515,876,041,423,195,899,261,252,318,985,
601,375,383,092,687,930,520,842,601,796,583,675,154,873,868,558,575,898,264,
786,457,968,516,358,043,079,719,699,969,281,282,154,409,029,593,516,384,198,
835,358,322,896,928,854,466,553,018,266,779,982,051,178,877,884,067,281,221,
304,277,184,635,876,893,026,688,224,171,312,380,796,513,947,038,763,113,723,
420,594,386,889,547,666,485,462,168,305,511,008,377,665,400,974,514,466,114,
193,679,897,756,374,533,234,011,529,852,751,370,685,743,013,163,602,498,695,
501,477,853,133,421,278,763,087,075,870,792,340,170,905,215,464,204,343,393,
762,844,531,105,644,875,029,235,127,651,388,939,778,832,798,555,377,392,152,
554,200,590,729,069,947,521,372,977,748,335,698,491,671,981,686,237,125,689,
748,617,545,210,425,906,937,499,713,169,233,227,491,653,196,138,247,671,332,
332,792,917,590,100,090,987,916,316,371,154,067,538,122,694,426,201,958,357,
118,722,714,093,759,701,454,904,993,013,303,420,138,228,120,572,712,138,459,
000,283,480,851,915,147,884,694,395,820,253,704,037,817,218,684,200,747,594,
953,743,563,057,941,694,840,760,107,330,633,165,527,416,152,026,775,413,466,
844,050,304,749,469,941,664,806,649,471,187,231,467,517,709,159,463,548,855,
135,820,124,481,535,783,405,192,352,064,825,991,142,553,171,666,265,152,243,
942,643,230,317,349,800,755,918,156,593,747,173,363,616,390,693,680,893,737,
919,219,935,299,420,560,630,668,164,797,795,611,645,092,396,611,833,477,351,
685,245,630,631,868,123,878,487,608,790,806,832,212,985,296,013,936,475,355,
839,280,532,678,153,548,881,641,864,400,830,784,589,950,815,226,941,021,184,
325,249,272,209,945,815,865,266,587,841,633,495,747,367,107,666,550,220,801,
397,352,323,997,248,425,507,191,187,126,180,388,713,695,434,203,627,224,265,
717,157,216,330,492,154,202,818,993,523,012,139,665,122,132,334,225,466,688,
139,776,726,747,985,448,440,018,351,086,236,183,491,706,457,998,153,386,068,
304,629,906,230,065,840,078,565,023,072,798,703,201,701,204,762,468,047,414,
410,283,750,876,541,437,160,819,212,777,229,212,965,993,966,760,718,125,697,
991,580,004,534,892,939,265,360,547,234,803,480,179,077,964,249,209,814,983,
993,164,452,079,871,410,521,300,958,126,862,294,667,400,274,896,212,503,867,
940,916,128,075,882,713,016,266,579,576,237,865,394,220,306,653,248,980,780,
556,351,103,681,174,238,413,467,014,933,485,584,298,659,029,300,800,222,518,
378,344,065,713,031,804,042,026,365,538,930,129,017,636,727,142,402,775,096,
130,125,939,551,844,792,524,028,078,585,003,537,290,234,254,176,391,218,124,
256,950,674,106,616,902,245,002,747,987,868,618,621,888,342,959,520,484,211,
223,845,167,639,099,448,417,262,133,203,848,787,683,429,962,237,503,701,566,
464,015,432,322,399,242,108,726,289,163,748,693,593,734,098,004,316,747,030,
657,937,135,833,055,550,093,588,112,727,100,424,138,209,814,518,485,604,399,
114,722,887,040,820,401,881,328,625,902,591,147,983,522,541,672,296,093,586,
834,534,103,179,985,024,775,652,544,948,758,144,244,964,944,835,077,340,309,
223,455,995,753,450,958,016,082,406,811,860,980,733,213,656,279,912,194,097,
688,624,936,784,240,082,103,984,092,722,312,270,239,136,695,528,683,414,589,
411,371,809,246,697,413,532,881,772,577,145,009,141,262,458,658,121,541,689,
417,890,485,332,981,276,378,501,457,390,933,862,829,230,618,397,530,074,061,
928,755,422,935,265,633,353,424,271,731,922,096,689,664,097,932,868,947,444,
982,939,611,662,367,284,733,435,859,657,908,892,849,445,370,992,010,894,038,
690,844,508,646,850,258,075,267,334,614,796,136,993,013,283,604,456,649,842,
168,558,247,615,929,775,909,959,155,364,387,568,279,351,706,839,539,449,423,
770,735,833,233,250,863,921,565,847,481,563,913,792,006,869,796,419,113,820,
259,746,604,383,840,395,066,762,098,865,103,799,591,500,749,188,747,045,747,
699,117,756,413,202,534,091,995,899,767,753,083,369,526,110,024,292,911,727,
597,633,818,061,880,423,982,639,266,905,930,238,555,289,608,022,577,074,796,
197,208,686,530,584,207,993,450,613,121,095,597,037,599,578,844,460,300,307,
289,167,374,666,489,438,752,200,780,870,748,748,770,343,802,309,726,581,321,
298,350,592,706,208,917,017,886,090,193,149,657,798,920,649,414,843,922,648,
743,585,920,105,122,232,926,968,729,778,086,830,869,695,022,167,322,477,089,
043,507,309,782,372,263,018,921,199,854,293,566,795,180,194,478,853,717,222,
439,409,317,582,244,130,794,377,696,807,633,070,215,229,696,234,768,961,571,
658,966,489,270,329,792,965,896,391,466,602,086,526,816,068,789,113,861,213,
219,404,973,165,335,938,737,948,037,155,959,670,952,326,532,354,921,038,706,
691,615,450,650,505,092,143,567,378,960,238,077,542,899,547,229,069,933,515,
770,732,626,914,204,386,859,787,348,354,451,205,576,522,232,055,164,620,936,
356,088,566,558,606,570,250,762,274,953,682,301,852,865,670,809,237,714,531,
988,701,592,629,723,688,197,026,402,886,558,296,533,920,892,929,516,890,424,
920,839,493,125,605,637,564,569,866,792,067,443,283,943,180,576,521,601,887,
657,426,619,583,625,101,061,440,626,926,106,996,447,429,938,742,936,811,192,
820,524,607,632,872,291,215,113,589,912,622,691,589,824,289,419,035,738,481,
070,307,912,484,300,838,203,134,990,914,604,808,835,944,064,080,850,939,961,
672,714,438,482,361,498,694,098,238,012,437,964,419,622,245,265,149,911,142,
352,981,425,419,834,083,365,044,138,303,644,654,452,151,873,399,288,910,181,
017,388,047,332,738,561,933,831,953,898,892,391,782,931,061,707,210,675,843,
908,265,365,183,263,331,311,045,180,174,364,073,237,692,898,235,544,791,939,
974,155,087,206,850,079,238,648,745,130,756,229,246,136,887,589,454,612,361,
279,252,706,233,295,933,199,358,559,785,506,000,929,332,808,690,030,081,808,
649,485,416,854,327,871,510,052,640,487,099,591,630,052,410,484,430,531,019,
683,392,346,695,177,194,705,545,003,098,357,007,529,800,935,916,174,545,177,
650,664,964,257,702,412,085,730,330,325,359,026,351,845,912,152,266,376,295,
105,411,589,217,419,797,846,431,117,943,753,196,012,192,433,709,822,655,314,
189,934,182,287,378,602,304,679,732,576,398,377,692,730,576,584,140,527,946,
781,858,032,947,611,857,825,502,337,261,086,732,373,263,300,920,248,653,054,
624,545,083,958,254,283,289,004,574,175,361,418,120,290,995,899,722,007,101,
941,946,220,497,687,075,933,937,020,150,382,142,335,828,855,646,460,580,729,
959,634,233,993,459,440,960,640,512,745,454,226,383,318,124,184,551,382,143,
304,800,144,012,327,744,074,152,528,063,535,690,316,854,635,034,216,562,263,
472,608,272,832,336,452,687,917,374,605,536,238,859,738,398,430,281,365,932,
433,592,548,222,220,941,373,457,875,578,043,881,549,701,171,701,165,839,084,
450,185,320,412,707,299,590,628,862,315,200,092,157,830,116,506,390,664,454,
242,152,006,680,088,557,569,469,519,405,067,009,917,538,128,218,887,019,018,
507,764,689,561,398,468,578,141,490,657,522,075,142,856,995,818,625,053,742,
518,215,733,491,401,579,276,800,357,298,589,555,980,624,421,808,456,710,305,
475,204,227,122,412,615,932,703,060,715,527,669,318,461,696,661,987,148,413,
603,741,263,523,954,352,370,703,804,807,080,073,823,216,712,292,258,017,902,
096,033,858,344,730,923,782,415,614,533,869,560,257,874,106,687,823,962,619,
373,679,508,825,886,393,578,759,350,576,928,294,135,643,199,662,801,171,639,
065,814,464,096,854,738,367,236,275,789,500,884,749,940,233,196,382,153,544,
350,974,043,179,865,964,648,295,597,036,625,727,505,612,390,194,948,692,156,
178,817,524,881,272,664,711,750,504,859,052,175,642,582,641,209,029,743,785,
640,796,469,968,476,954,736,931,198,463,135,428,045,038,260,187,980,982,758,
003,367,264,214,026,317,674,255,692,743,449,292,029,558,519,877,160,012,771,
543,178,148,998,870,490,002,718,838,244,269,450,645,520,633,612,242,138,984,
694,900,837,974,312,040,959,020,350,542,049,036,084,190,155,818,754,335,278,
495,799,563,353,566,569,468,094,559,943,707,907,441,281,850,917,580,891,142,
476,970,643,742,422,767,921,647,836,459,840,493,120,389,590,672,588,150,790,
385,333,226,234,515,762,317,173,957,567,085,745,942,030,293,163,518,038,774,
297,455,464,693,852,399,257,168,600,124,816,917,640,995,880,305,389,108,102,
413,744,325,586,522,631,266,720,432,188,220,081,315,348,660,770,965,554,813,
826,099,334,875,152,223,707,398,837,728,184,970,425,622,219,039,786,765,579,
861,987,251,496,529,893,358,075,660,419,060,066,062,876,499,192,078,757,802,
680,186,597,619,519,517,095,805,508,344,924,538,908,367,070,062,401,419,525,
822,634,788,070,230,385,738,030,410,778,967,273,896,729,490,459,613,696,932,
067,167,599,555,761,087,338,471,096,784,481,033,978,440,708,478,592,956,611,
113,021,198,199,993,243,834,752,225,293,184,024,969,373,172,177,215,527,697,
564,993,299,015,553,702,195,648,877,207,898,696,241,021,269,516,134,997,422,
784,557,766,560,846,009,845,598,067,254,937,362,589,459,335,185,300,832,101,
223,188,637,250,760,509,411,478,623,749,812,816,076,492,556,461,359,950,813,
066,794,184,244,766,225,949,543,994,198,989,950,115,904,903,220,190,074,843,
570,154,483,156,812,674,215,704,353,046,379,697,633,742,494,186,597,935,570,
456,419,650,868,586,908,523,078,914,368,601,924,100,288,646,856,858,841,511,
395,870,584,937,270,108,477,497,420,398,595,072,249,384,494,726,878,143,230,
815,960,955,990,351,357,957,498,470,816,033,469,868,724,927,412,481,254,991,
620,683,886,332,937,907,593,711,453,778,101,602,838,886,024,136,679,767,872,
777,597,451,281,679,773,189,559,600,681,409,765,454,870,911,037,372,585,194,
052,158,239,328,717,281,914,344,995,521,878,685,594,275,222,956,259,606,883,
753,238,973,723,845,091,759,558,821,450,920,003,511,292,780,349,751,023,813,
228,708,296,453,363,146,604,179,287,325,186,437,136,607,957,075,743,501,540,
214,471,144,676,232,117,686,108,662,527,747,757,141,688,352,334,586,787,739,
839,682,721,629,681,117,273,168,682,583,074,741,190,892,422,877,368,367,970,
332,410,477,071,110,112,032,907,088,010,037,994,306,069,886,541,962,867,999,
107,248,641,395,064,378,689,251,032,954,666,448,013,957,032,711,319,323,688,
305,619,818,187,676,301,048,602,444,625,032,213,304,189,781,912,036,171,248,
296,247,652,997,565,807,581,826,779,386,547,115,408,178,212,739,521,996,063,
358,800,081,665,579,400,146,161,083,036,017,334,232,837,453,420,922,073,773,
727,567,651,599,044,443,044,566,656,291,262,030,531,349,614,755,488,338,048,
606,551,602,152,494,740,423,766,200,276,325,127,068,989,244,354,808,582,022,
201,211,311,720,358,345,750,730,267,379,861,635,511,926,537,607,001,706,649,
875,992,638,506,544,805,035,192,050,767,971,402,872,002,378,786,868,338,058,
350,094,615,649,036,090,619,834,162,163,040,785,882,414,878,054,969,964,688,
328,523,953,320,520,677,389,260,807,993,449,605,026,938,304,887,536,625,528,
577,058,658,630,641,126,696,193,366,544,562,840,283,195,275,679,128,234,478,
476,840,151,033,169,103,824,723,607,563,435,159,395,317,609,705,495,891,207,
592,500,929,804,429,568,613,728,304,997,080,003,664,106,255,254,490,476,688,
042,275,218,750,280,603,967,040,742,063,170,478,273,496,797,918,011,324,390,
755,372,334,709,965,591,110,450,222,892,759,962,933,340,813,992,924,076,440,
436,006,570,887,578,997,149,020,706,647,458,715,759,828,112,818,120,112,630,
185,842,863,089,552,919,016,520,159,741,090,716,723,259,728,182,582,916,460,
845,786,709,542,762,568,127,249,658,559,597,572,229,959,491,596,575,750,604,
840,063,170,093,485,702,198,176,736,272,878,824,085,440,566,845,812,578,227,
405,969,278,293,520,470,235,146,932,605,163,296,100,350,154,365,518,095,638,
301,936,052,024,873,399,970,368,373,952,377,045,340,661,713,772,513,790,128,
101,003,336,392,121,456,326,431,529,321,456,532,567,946,689,923,495,131,559,
509,691,913,434,768,211,367,311,247,322,253,466,922,552,036,561,258,985,177,
573,794,567,780,794,491,217,254,023,529,918,912,611,047,635,824,725,525,365,
615,254,623,818,119,577,709,552,324,336,843,230,138,367,142,567,748,285,496,
219,200,081,157,408,479,460,874,530,500,063,846,177,934,316,291,840,477,471,
631,398,432,169,355,728,549,220,816,163,221,345,263,648,480,339,996,425,037,
352,842,480,464,740,480,704,913,164,708,083,790,117,703,084,404,010,293,924,
094,826,359,393,993,409,604,366,407,122,639,512,566,354,012,486,807,572,015,
472,048,265,515,397,185,716,077,455,385,315,069,352,664,422,675,987,304,173,
509,175,096,893,086,687,776,192,909,637,455,108,033,797,630,564,649,122,048,
749,572,922,632,046,437,750,516,693,969,414,843,056,514,212,758,033,617,193,
972,105,766,495,889,352,278,447,890,758,031,344,062,139,705,390,798,932,333,
374,465,492,781,468,403,104,327,068,795,118,461,017,959,190,877,231,906,493,
261,679,850,282,397,439,670,278,246,302,966,158,802,259,660,383,149,330,036,
859,552,405,453,497,204,493,955,851,763,120,994,014,896,247,964,586,602,369,
459,902,268,630,521,094,222,195,997,105,507,962,557,424,902,035,679,476,143,
431,619,431,312,915,855,377,491,320,560,197,393,075,770,535,390,807,985,883,
815,114,208,164,645,667,004,861,154,958,167,445,348,054,889,137,307,228,340,
541,648,787,637,349,961,073,173,013,448,180,241,855,438,258,686,081,083,753,
190,767,646,021,667,602,449,484,385,948,708,268,361,248,709,136,614,585,350,
067,832,585,982,165,581,244,618,492,615,441,297,255,200,828,909,864,352,453,
524,603,067,791,209,711,256,674,956,481,871,105,574,682,141,501,974,826,902,
659,454,539,339,910,733,955,371,289,048,580,851,030,991,670,191,164,778,727,
239,183,354,172,627,118,745,716,036,621,268,249,281,982,689,563,131,195,719,
932,401,510,697,435,481,072,344,304,768,711,908,652,608,967,951,246,806,162,
239,160,639,159,964,441,277,972,676,239,044,824,249,318,510,490,244,182,381,
622,405,264,176,949,806,225,505,731,652,138,905,948,825,205,740,685,599,711,
378,132,419,324,071,278,059,158,172,876,941,286,282,552,296,217,130,352,630,
976,413,066,523,724,520,133,274,594,174,824,838,791,532,695,259,147,874,421,
316,007,777,767,523,117,709,650,604,205,154,681,347,572,590,939,717,874,582,
694,545,587,360,506,617,595,214,506,724,543,194,284,022,825,055,685,093,894,
635,726,781,882,099,885,552,798,445,984,930,326,253,581,959,542,454,197,459,
322,974,819,981,027,082,481,463,298,494,680,877,030,100,214,904,446,308,609,
923,134,810,095,156,079,738,556,341,590,582,714,528,421,754,370,697,408,069,
852,995,273,098,970,812,722,532,485,880,216,878,849,671,132,751,922,775,381,
503,419,768,600,951,814,647,591,078,415,205,183,687,824,625,909,805,267,485,
866,994,838,835,727,813,647,563,810,897,364,825,341,341,879,876,975,442,181,
831,063,344,948,818,248,812,495,900,933,186,174,450,059,367,111,535,416,556,
241,488,984,802,778,583,167,851,676,639,022,968,575,756,178,171,737,954,991,
605,025,022,469,077,252,943,619,019,974,142,674,143,628,343,830,388,507,722,
845,440,819,394,949,259,149,403,436,348,538,827,062,289,932,304,167,501,321,
288,804,913,005,486,178,608,546,917,310,815,975,858,958,388,910,880,848,048,
555,360,712,059,926,987,523,792,242,347,012,177,241,309,398,163,965,439,505,
967,830,299,426,977,178,495,557,792,779,080,025,139,202,336,667,597,554,715,
855,870,502,608,450,997,617,566,565,206,851,160,859,574,245,010,013,757,130,
876,825,208,138,270,474,591,640,782,179,893,935,624,250,906,043,255,015,039,
658,328,868,212,736,573,518,899,764,962,345,530,935,804,326,487,774,990,590,
433,393,983,437,170,447,545,905,147,511,452,258,932,526,143,122,875,209,636,
782,659,119,274,212,755,658,462,612,583,751,200,963,053,148,168,961,705,717,
455,317,298,840,342,323,000,624,983,875,506,040,770,307,292,980,525,095,241,
345,307,612,892,480,403,974,407,799,092,525,579,747,390,217,340,357,419,214,
625,689,566,470,121,294,348,138,461,692,278,242,118,143,980,718,059,945,839,
615,924,562,763,700,832,565,361,265,563,606,605,928,174,878,342,120,005,681,
218,827,599,784,082,450,105,081,478,487,071,903,130,862,286,411,197,148,761,
070,395,437,696,667,252,909,269,143,384,389,126,196,841,996,825,206,038,548,
931,493,389,641,831,180,876,149,878,603,031,516,375,385,966,353,669,810,476,
113,357,776,857,663,489,868,113,058,887,215,093,013,844,708,940,554,803,451,
434,725,494,664,353,014,130,146,897,167,742,695,094,099,254,635,958,389,749,
872,946,542,416,867,039,094,458,682,004,938,243,736,419,573,448,888,818,470,
718,011,790,960,702,416,037,451,071,727,258,715,778,969,477,312,953,150,159,
324,406,753,221,813,937,103,227,030,284,758,628,718,965,543,148,785,195,793,
473,812,325,196,111,844,372,300,129,667,602,680,147,997,011,580,739,719,344,
528,071,291,012,262,767,868,316,172,439,898,601,844,258,732,446,799,440,601,
982,586,600,844,746,722,019,500,300,955,233,659,901,817,871,811,526,029,837,
314,799,469,187,035,768,345,248,025,027,906,013,865,644,990,888,517,380,920,
965,787,748,142,912,072,481,299,173,883,324,050,571,043,692,391,661,745,682,
568,954,159,822,261,645,573,925,563,089,631,809,224,564,233,033,696,554,238,
854,549,360,841,398,496,873,204,856,737,187,267,651,657,608,487,077,117,541,
442,324,278,989,492,708,943,850,107,948,080,634,996,137,212,345,164,714,996,
502,215,178,367,399,491,744,408,431,763,254,351,696,201,420,069,666,087,587,
013,080,907,869,002,747,831,053,512,762,365,572,538,260,946,316,472,775,322,
446,117,746,210,060,080,914,236,862,263,244,324,203,233,119,610,964,990,110,
629,438,749,769,920,190,744,654,467,366,798,859,550,178,973,783,862,622,246,
409,909,451,080,563,269,688,077,615,884,786,746,541,866,677,151,029,335,677,
779,791,198,852,215,639,456,176,547,386,010,797,459,993,781,692,680,118,873,
076,139,537,592,360,296,006,074,438,335,788,107,084,736,371,129,318,352,072,
631,722,147,199,464,765,236,133,908,655,979,977,604,832,185,707,454,549,703,
054,795,628,841,770,373,988,020,988,198,049,627,640,261,371,175,031,410,102,
650,843,826,031,822,882,936,492,363,652,244,589,217,535,389,120,025,215,343,
394,944,662,646,839,436,827,405,801,613,046,085,341,061,804,407,629,270,373,
295,744,203,890,951,190,890,648,169,259,005,530,680,416,211,071,278,166,121,
187,254,424,373,709,077,441,663,406,288,773,789,678,564,008,274,611,276,408,
877,729,181,684,574,881,559,136,286,613,830,497,416,803,045,869,352,178,786,
483,760,533,336,575,192,074,742,764,795,175,046,251,693,326,656,634,631,525,
569,884,449,868,143,498,353,219,687,602,442,870,622,947,312,322,572,193,769,
423,215,871,384,223,989,070,218,879,723,180,742,681,356,089,419,525,538,792,
197,691,623,346,959,254,896,962,164,567,842,922,527,949,301,973,279,554,479,
784,061,213,265,819,657,929,248,033,864,453,871,564,908,917,597,068,064,725,
133,341,980,059,407,321,030,279,975,957,934,912,830,945,830,294,888,974,756,
650,403,110,385,711,291,687,297,891,818,619,930,030,293,749,006,976,665,614,
189,663,437,517,956,882,681,717,418,083,572,040,036,763,999,970,546,227,458,
796,769,274,576,725,345,199,058,581,511,733,747,061,825,343,961,357,360,711,
654,773,907,762,596,102,018,467,660,551,816,745,111,143,644,000,768,250,635,
060,774,871,922,027,971,282,391,971,232,717,602,913,861,902,382,841,196,076,
447,742,972,679,797,186,963,467,575,998,798,090,794,886,867,891,485,493,408,
533,972,843,298,736,212,412,315,724,297,795,291,049,067,051,839,981,201,000,
077,907,755,439,432,392,074,722,803,379,821,621,833,879,949,989,311,795,413,
778,598,107,486,896,981,751,008,579,231,401,072,844,782,535,098,563,524,298,
546,536,199,604,527,296,104,896,037,684,291,907,547,057,350,542,051,585,598,
971,402,471,391,418,110,937,648,389,857,310,008,008,621,062,661,360,417,041,
039,016,937,870,884,855,833,494,304,580,220,679,225,715,460,318,530,555,065,
260,034,095,089,113,320,129,488,827,869,468,406,209,182,651,568,030,342,035,
461,103,247,574,413,402,874,072,060,679,878,264,007,838,465,189,977,526,974,
623,767,458,981,169,274,931,257,038,910,079,599,113,477,097,387,696,249,667,
879,475,487,231,487,690,047,097,795,761,202,128,813,659,895,790,669,680,050,
324,592,012,448,576,368,587,423,436,747,267,728,799,639,714,072,913,705,747,
709,798,284,996,856,037,958,797,533,809,492,448,031,556,629,605,099,717,281,
498,865,274,823,798,948,890,773,348,497,843,652,939,382,156,984,457,166,244,
077,687,088,856,266,887,621,789,746,180,575,511,922,861,858,745,922,815,498,
495,494,716,526,314,459,083,431,930,925,445,740,400,852,066,853,976,083,174,
127,218,704,197,276,829,486,689,350,107,387,571,851,288,962,198,266,676,547,
696,295,642,746,887,793,999,581,492,415,356,581,157,862,908,530,267,405,993,
277,001,216,490,486,520,466,829,045,410,975,075,317,676,732,514,184,685,665,
758,482,794,700,741,996,518,750,444,330,979,146,769,720,068,850,561,297,938,
636,184,287,772,393,548,689,087,129,936,273,521,859,037,150,120,731,081,672,
601,352,677,861,923,768,404,863,751,332,091,602,177,048,687,001,307,521,383,
816,125,456,466,910,699,064,731,872,919,395,717,297,404,379,747,880,704,663,
402,305,519,573,932,352,581,968,595,731,585,736,250,029,388,106,300,181,695,
521,977,795,351,261,544,094,624,373,753,110,675,583,560,351,298,127,099,328,
021,546,494,843,772,389,741,288,163,273,868,758,150,649,795,284,584,602,368,
407,598,835,039,518,893,757,678,865,470,409,249,380,648,811,984,719,878,105,
971,305,349,010,386,043,605,137,535,047,218,827,127,288,778,252,942,260,498,
509,204,159,645,330,198,795,369,314,360,877,583,823,223,216,645,875,258,801,
534,408,186,243,713,394,572,860,299,071,772,742,157,432,232,625,904,842,089,
594,286,754,681,207,589,412,884,297,555,477,210,698,580,814,499,042,080,090,
871,606,062,888,658,548,953,884,604,282,495,773,353,722,153,480,829,091,609,
191,030,448,382,980,540,445,847,710,141,460,159,299,506,557,911,842,145,014,
417,350,638,089,868,126,049,553,671,364,039,742,847,172,540,708,447,626,483,
448,920,276,337,761,154,201,374,814,958,335,399,610,879,039,535,089,268,862,
193,743,112,545,221,169,664,481,286,650,265,229,391,936,183,927,071,046,437,
469,082,612,445,318,463,025,290,579,766,776,544,963,106,989,812,112,736,626,
960,237,803,301,738,490,244,150,971,146,580,334,675,960,141,374,836,563,119,
004,740,224,599,178,126,657,019,656,429,095,354,105,887,345,665,837,897,396,
602,103,844,865,959,636,535,746,249,782,374,162,574,781,739,643,529,827,833,
064,734,350,776,729,055,218,974,802,311,056,977,405,680,974,182,665,876,444,
238,511,503,980,501,127,467,258,958,035,041,152,114,976,709,504,667,098,052,
921,547,784,648,033,674,524,690,011,925,825,170,221,829,779,876,022,995,347,
437,053,345,732,251,168,245,918,518,909,472,083,264,043,700,137,548,277,969,
545,645,456,755,858,102,059,658,711,034,042,579,622,665,861,339,543,508,452,
425,636,246,725,842,801,926,876,280,135,326,884,397,621,518,178,763,015,008,
462,403,808,762,394,755,092,657,236,212,541,443,259,835,125,871,879,573,607,
595,187,569,594,969,934,922,402,980,666,076,036,639,312,677,231,156,814,035,
498,289,591,004,668,779,031,188,220,255,189,318,343,139,474,732,636,667,928,
169,671,191,973,871,135,517,804,486,660,315,954,479,059,345,475,211,370,996,
892,947,973,569,897,962,380,804,721,370,016,215,561,512,623,235,040,693,646,
651,036,735,441,952,142,145,375,796,519,078,666,669,503,158,122,493,126,110,
995,797,992,405,692,380,622,624,501,130,372,768,881,650,668,367,872,577,793,
118,537,916,598,008,565,822,759,946,828,938,183,709,518,800,999,220,885,533,
947,150,279,268,512,738,804,106,035,156,005,510,193,560,159,979,846,493,071,
368,161,658,555,585,308,051,867,486,578,501,156,104,613,224,779,838,265,571,
780,046,586,372,193,773,640,487,472,550,633,711,379,297,105,569,740,609,987,
312,928,087,948,440,217,264,542,447,422,938,667,863,384,016,620,325,079,154,
364,008,474,472,197,370,022,011,597,611,885,190,459,114,592,753,540,564,109,
986,752,571,551,473,669,976,724,588,842,073,276,941,065,024,971,844,367,726,
165,190,229,793,872,115,000,164,875,385,224,649,649,263,298,920,229,855,043,
170,464,255,613,352,362,842,067,628,143,409,780,628,150,623,279,214,104,223,
587,280,826,365,907,676,131,963,399,819,896,432,094,417,106,879,547,395,450,
820,429,638,294,252,793,061,218,203,055,571,528,554,110,447,253,785,047,667,
126,028,719,188,093,343,563,409,238,300,396,242,505,540,343,837,695,473,499,
354,695,284,209,806,307,427,193,402,427,247,026,670,832,530,022,474,365,104,
340,870,068,506,205,806,504,654,628,777,457,174,569,018,830,889,473,180,015,
307,278,771,973,303,095,090,177,556,427,479,307,439,336,717,880,128,408,164,
698,928,021,182,231,251,049,098,502,844,864,210,398,888,614,379,423,150,061,
220,799,503,060,112,074,067,030,694,310,913,379,791,113,999,390,374,672,386,
003,623,766,838,926,506,019,618,890,512,468,224,140,466,841,402,841,054,691,
348,739,783,854,749,450,728,310,150,037,059,711,894,276,561,119,040,465,472,
282,137,222,727,275,570,303,711,563,456,882,674,509,157,726,186,840,090,576,
232,964,225,546,465,993,288,766,965,740,768,058,872,803,464,618,482,008,570,
919,702,428,313,772,052,047,531,662,759,227,756,767,488,725,243,647,294,661,
642,576,357,317,543,155,336,412,487,030,018,258,040,204,325,879,417,857,556,
628,119,915,975,883,017,920,705,183,061,769,988,284,104,807,587,059,552,417,
240,923,900,604,516,709,430,139,404,956,010,303,386,077,074,731,655,898,487,
331,515,073,085,981,649,731,289,136,020,078,385,757,780,035,270,192,007,439,
130,130,746,983,504,162,339,563,743,033,010,780,104,687,446,518,248,784,265,
770,919,191,728,145,752,761,333,023,051,143,623,773,505,988,298,544,191,572,
276,672,833,039,598,349,747,983,003,803,208,360,591,361,900,206,513,277,042,
263,473,182,557,332,414,494,887,199,545,469,840,018,695,981,566,067,772,576,
448,556,675,261,552,646,761,083,039,771,062,495,989,508,044,175,329,030,186,
453,912,006,283,181,338,389,211,395,009,091,331,367,065,047,406,104,799,825,
656,220,360,118,541,249,220,876,870,134,965,362,462,188,418,514,118,927,472,
240,926,132,817,182,019,946,435,910,571,435,652,732,137,825,437,342,970,530,
380,208,120,471,451,855,224,033,914,710,894,116,978,106,807,619,121,296,266,
840,010,469,179,517,654,777,665,212,286,168,772,308,653,550,253,954,634,139,
278,640,358,267,046,235,819,376,428,508,509,935,315,608,787,028,348,334,698,
437,572,145,248,719,594,900,822,336,912,981,331,143,284,470,641,233,498,818,
934,247,234,178,092,685,040,801,948,002,292,646,248,028,016,033,959,197,208,
809,643,081,182,745,366,690,238,683,439,717,281,996,635,914,214,849,994,621,
573,656,489,226,966,430,534,150,611,023,847,538,626,986,745,916,584,448,011,
105,859,520,006,322,406,018,441,543,491,373,707,038,132,810,768,380,011,207,
238,089,909,195,078,710,683,077,300,830,262,270,661,290,135,460,958,228,741,
872,077,592,642,165,925,080,923,578,111,755,812,834,532,947,700,251,271,889,
328,893,739,153,233,602,525,337,993,885,300,044,593,885,695,827,173,658,554,
239,676,824,621,402,308,109,194,366,918,936,511,908,002,257,929,443,561,652,
728,555,169,922,438,403,192,550,666,079,978,990,922,624,394,144,998,176,806,
587,049,628,149,634,990,471,168,768,793,622,578,371,702,348,362,508,105,422,
475,777,078,346,591,676,885,030,991,738,895,148,965,262,502,680,811,634,795,
083,067,464,101,285,134,108,108,454,840,401,727,103,734,662,010,731,295,963,
212,464,003,703,183,193,607,375,695,543,332,379,955,097,355,379,880,834,483,
741,379,967,195,258,002,610,894,903,643,564,624,084,379,783,121,344,083,256,
329,342,273,987,919,514,650,411,285,775,396,285,856,086,197,156,237,601,820,
516,225,216,061,502,301,319,784,768,032,150,231,356,928,901,379,229,541,816,
900,096,473,652,894,590,921,405,661,070,776,951,882,497,032,586,818,138,041,
224,840,185,117,920,273,401,905,262,373,957,850,836,136,349,088,499,469,010,
435,669,949,598,424,620,399,796,800,050,039,409,673,589,038,931,846,248,488,
771,680,522,709,688,359,198,859,987,192,239,984,677,815,470,215,019,461,501,
008,742,843,297,469,880,846,538,117,395,578,310,143,625,940,002,353,497,798,
092,716,884,824,223,492,653,554,527,990,177,538,601,065,612,879,396,039,258,
700,584,807,894,309,332,767,786,886,557,492,700,024,667,119,438,922,719,413,
121,507,012,285,153,118,232,193,300,655,884,764,892,849,690,455,754,492,745,
128,340,245,044,239,294,794,793,354,047,628,898,257,391,944,494,354,595,961,
766,037,244,015,457,844,778,687,021,024,979,050,706,005,504,633,663,166,640,
510,476,813,865,229,469,721,554,358,409,064,288,754,184,620,833,915,831,710,
997,676,445,699,968,629,593,867,699,704,877,928,361,566,484,703,294,822,205,
034,656,752,779,355,234,858,311,890,229,906,998,283,339,014,356,757,294,942,
080,948,992,067,330,759,471,234,543,627,518,878,291,690,597,150,233,345,362,
690,880,638,654,049,203,014,414,968,917,698,931,533,135,911,441,010,327,699,
810,747,235,601,675,544,797,970,820,398,721,578,502,930,184,390,839,921,176,
057,003,865,434,299,376,548,601,351,105,504,077,548,395,948,279,870,856,803,
641,120,532,092,009,620,598,595,073,286,048,010,033,091,426,430,551,289,853,
156,639,397,405,521,656,564,054,560,463,496,892,322,856,384,650,452,872,286,
239,750,361,482,415,535,765,261,805,459,856,999,064,073,724,997,527,689,823,
969,424,520,271,913,607,552,871,563,727,726,657,401,023,575,512,858,995,466,
867,079,910,470,922,978,577,228,097,347,494,769,964,273,373,266,144,728,558,
884,714,792,644,015,755,259,782,375,984,434,202,841,502,607,640,772,728,127,
896,812,364,315,646,204,400,536,042,558,201,947,319,367,899,272,183,052,882,
986,812,188,507,679,792,712,725,889,747,847,469,318,504,454,658,753,377,889,
937,093,270,529,814,293,901,732,490,190,006,740,960,163,872,236,760,523,087,
871,607,812,621,045,429,010,973,949,157,932,759,010,930,647,531,762,995,604,
727,845,092,456,114,074,661,472,082,589,656,569,706,320,667,232,916,910,664,
454,706,712,412,888,055,292,458,629,640,489,589,923,645,232,534,709,665,838,
357,837,046,317,680,020,982,914,744,653,630,547,431,219,384,769,080,642,247,
976,566,209,574,140,753,101,669,967,256,944,494,031,313,269,323,053,036,204,
681,621,004,362,805,891,935,779,080,210,490,981,659,796,099,961,537,164,226,
492,642,972,708,324,340,589,141,760,266,037,151,583,446,432,753,375,491,569,
476,562,076,338,048,601,285,742,831,439,124,854,214,983,080,284,004,276,028,
824,513,809,222,846,707,546,980,308,657,595,826,038,591,558,273,341,994,534,
529,631,599,576,362,285,110,185,227,835,154,283,693,264,116,712,646,036,846,
868,396,812,898,815,708,899,761,789,379,906,711,542,859,585,162,336,646,004,
198,242,511,389,847,640,348,713,078,902,375,456,378,733,971,336,044,913,053,
488,287,480,803,290,008,161,690,856,966,344,042,437,126,577,697,595,115,280,
927,483,998,960,067,110,419,899,223,310,611,892,980,974,764,675,444,004,580,
992,618,766,029,932,570,209,810,793,215,078,602,836,830,584,011,176,699,220,
880,920,893,348,218,204,373,126,358,930,972,593,917,142,046,038,511,589,241,
922,154,425,317,259,044,973,253,463,632,912,504,179,134,620,330,881,627,645,
867,531,316,129,671,444,209,720,176,324,644,037,793,390,876,175,296,682,849,
792,043,382,407,545,847,333,685,522,017,964,667,063,409,906,550,498,881,063,
526,130,881,394,034,950,964,209,999,760,085,194,532,718,361,196,182,496,753,
788,129,844,613,429,396,382,376,486,358,781,741,712,629,959,129,453,348,137,
336,057,917,014,084,122,596,732,170,446,533,434,736,727,344,000,015,307,436,
345,539,166,277,014,285,656,923,743,449,430,548,142,643,772,452,535,257,161,
319,043,169,764,438,566,485,482,833,654,189,849,518,811,538,766,243,501,384,
495,638,190,097,021,038,814,884,608,868,320,592,253,321,516,967,190,544,567,
463,047,191,668,956,461,962,987,755,488,594,741,798,380,309,399,618,135,229,
959,051,884,430,559,311,340,902,984,795,823,507,533,363,026,046,559,672,378,
990,906,987,867,750,217,971,621,655,847,359,169,395,581,422,372,630,918,934,
387,171,917,605,317,656,726,241,008,936,045,529,534,130,088,098,152,130,104,
034,313,744,320,698,490,523,953,895,233,132,283,458,137,414,809,562,759,115,
180,164,756,384,801,628,226,172,621,983,265,966,256,949,534,881,873,782,027,
443,982,240,497,056,486,565,782,107,455,735,471,011,227,265,326,381,865,013,
249,529,041,297,862,445,965,594,985,213,987,350,531,393,454,126,303,229,199,
273,352,324,123,988,059,217,502,939,441,749,715,075,610,317,079,367,167,871,
283,684,549,271,482,879,276,452,894,241,838,808,960,854,500,422,064,353,408,
292,446,469,588,058,981,496,087,014,704,898,029,540,247,501,250,141,738,792,
079,109,577,654,362,433,232,548,319,825,189,321,494,203,070,817,435,746,766,
656,698,297,534,999,442,138,503,817,846,567,897,350,529,069,307,106,163,262,
841,822,614,600,877,087,691,081,852,523,202,278,736,938,579,046,769,137,883,
086,086,063,565,080,914,067,920,746,547,857,185,544,758,709,833,695,458,323,
826,215,436,517,324,226,297,578,029,917,919,800,205,901,636,565,653,272,580,
168,784,246,700,173,845,453,950,590,672,178,633,860,341,137,512,800,878,658,
107,222,399,929,931,823,524,588,085,960,034,050,162,607,356,698,518,540,979,
140,820,593,981,387,505,286,385,218,756,734,935,917,023,266,778,295,692,133,
197,068,846,605,171,305,666,744,785,641,603,765,800,837,727,702,369,716,121,
554,485,302,025,851,238,354,070,770,036,817,462,358,473,362,406,710,471,737,
076,166,198,378,315,092,019,281,034,852,344,938,198,421,102,658,789,553,001,
757,815,471,406,726,113,675,999,190,377,800,327,452,877,164,899,731,020,684,
629,562,156,840,317,604,807,033,078,931,956,439,105,104,259,547,983,686,075,
139,471,829,747,110,767,335,291,573,486,246,525,979,880,697,740,790,165,053,
705,804,270,292,383,263,832,710,826,578,565,935,984,483,001,671,778,432,515,
076,640,103,380,344,042,362,714,147,554,494,771,197,255,687,396,876,888,217,
650,452,757,663,937,051,094,749,570,533,128,887,641,620,177,487,173,693,135,
406,285,334,443,036,382,885,570,269,321,912,807,828,113,512,023,857,426,523,
647,097,084,724,529,012,306,377,545,513,617,002,711,160,382,799,736,454,597,
252,664,555,887,134,366,452,589,398,971,160,159,731,772,378,497,285,495,862,
415,131,929,731,811,319,199,532,157,416,640,903,096,775,498,371,525,128,525,
356,241,980,484,522,568,169,409,420,247,619,525,782,188,764,321,380,185,162,
360,592,669,429,383,190,107,422,170,419,646,136,640,615,265,606,722,277,575,
875,402,966,625,443,375,184,888,778,143,166,567,584,126,594,116,179,716,794,
105,825,256,618,385,734,638,489,210,478,180,739,566,031,799,380,250,181,404,
839,135,141,179,186,883,946,144,189,405,451,922,225,890,271,561,083,848,247,
576,471,076,705,519,656,928,290,504,581,051,319,540,128,947,225,588,663,439,
637,633,822,712,174,496,726,570,574,543,985,284,570,320,354,658,173,672,866,
087,165,534,084,891,959,859,748,294,665,180,777,117,358,817,608,063,518,901,
805,416,597,234,684,474,702,359,396,512,122,131,966,522,353,440,608,344,707,
284,629,643,559,900,761,840,495,215,779,916,547,197,005,171,187,854,163,141,
280,385,710,250,883,274,678,196,656,960,601,887,041,548,994,704,112,391,839,
890,692,464,662,578,072,289,352,069,318,447,298,436,012,997,700,365,451,807,
586,364,776,615,074,909,106,184,405,628,062,330,632,756,904,747,693,024,624,
128,043,568,035,666,822,415,870,499,802,669,990,777,570,828,591,387,309,746,
696,336,971,652,309,830,871,320,361,941,979,653,758,209,305,121,378,966,995,
404,809,326,169,738,956,030,687,049,796,472,232,426,127,779,700,751,658,908,
714,037,416,499,681,221,884,445,535,653,439,514,435,165,204,395,674,860,313,
581,816,241,432,536,236,820,794,708,429,657,326,296,518,863,472,426,698,140,
632,606,072,642,724,454,201,797,658,616,781,131,701,667,984,165,522,641,808,
619,880,038,580,721,103,300,700,180,738,083,843,952,516,652,876,165,201,473,
034,732,898,138,618,948,018,186,312,685,987,330,813,241,825,460,303,056,235,
437,480,924,712,232,623,927,025,317,261,389,429,477,872,619,392,463,813,918,
163,293,191,080,909,601,713,202,221,193,451,317,931,395,963,445,140,309,512,
138,446,817,991,894,001,527,510,618,797,913,095,940,315,322,364,369,150,906,
577,572,239,339,255,055,948,302,222,046,342,086,448,067,722,458,815,286,547,
078,043,546,238,084,573,561,408,641,110,602,594,525,528,733,431,405,938,840,
013,225,712,748,245,421,194,296,104,041,469,126,351,357,659,105,412,395,782,
051,446,397,403,423,729,910,083,764,525,799,548,387,857,706,198,740,446,380,
681,832,562,119,965,946,438,431,386,002,675,485,206,217,033,278,088,260,851,
414,859,264,501,095,849,926,638,427,841,639,456,194,916,983,998,368,711,088,
095,595,068,529,864,865,219,388,478,577,036,251,459,075,159,862,997,541,158,
771,760,566,035,691,352,899,222,008,269,960,857,052,049,292,684,350,205,808,
847,491,371,140,241,030,913,130,007,051,477,633,595,216,265,766,506,682,112,
508,626,254,504,248,073,348,812,711,092,777,500,327,526,655,300,420,044,411,
587,940,123,033,589,915,749,659,323,716,971,019,934,411,771,363,032,248,463,
874,493,341,572,644,311,774,992,668,061,712,911,962,983,711,888,779,369,521,
496,532,046,417,469,353,119,647,746,668,172,073,397,112,676,583,848,535,209,
661,631,637,311,600,315,286,860,818,693,349,779,065,021,141,764,554,530,470,
710,867,725,065,881,250,760,674,989,182,808,219,699,220,828,420,491,188,600,
983,973,722,596,687,098,892,990,488,698,660,908,344,384,797,364,362,773,377,
002,322,454,410,286,281,871,903,054,611,932,667,194,098,593,194,531,227,306,
300,617,556,235,843,375,992,611,519,858,869,650,014,796,807,303,141,047,562,
992,596,605,458,671,685,468,725,174,192,160,254,831,007,922,438,084,614,256,
871,892,205,398,307,031,175,049,859,912,017,561,407,298,396,050,293,460,556,
564,624,634,569,328,258,516,162,585,451,201,333,616,988,901,652,000,986,916,
055,377,392,829,086,681,151,840,032,854,396,766,576,702,064,456,271,575,200,
415,643,368,807,190,209,891,108,977,976,407,811,679,631,258,658,214,801,825,
537,064,367,265,965,975,715,866,584,768,631,139,214,326,537,098,106,362,722,
210,510,822,210,245,322,765,286,070,093,518,192,469,887,321,492,941,689,998,
951,481,350,083,590,049,190,945,672,219,561,255,726,609,385,635,615,034,684,
309,290,817,169,729,484,673,167,185,388,986,533,447,967,326,382,145,558,484,
631,182,906,637,970,901,518,500,863,465,456,575,757,264,632,559,717,109,460,
345,902,855,984,737,176,096,275,064,093,410,184,921,046,629,226,840,595,034,
201,009,714,063,947,708,841,216,266,464,661,380,684,816,696,221,578,682,687,
353,193,413,770,267,825,690,394,700,726,556,141,789,885,052,969,288,942,704,
775,536,153,266,413,725,726,713,649,523,868,826,455,413,584,821,261,778,331,
184,587,748,811,659,745,432,060,507,114,283,229,148,221,485,837,014,320,185,
290,545,083,630,384,510,445,150,127,020,643,213,022,153,288,043,532,656,219,
837,607,656,018,518,134,963,162,471,396,263,921,111,556,045,766,780,689,082,
947,337,747,396,094,635,811,351,871,432,205,641,456,897,498,864,293,863,671,
256,771,099,066,702,972,425,170,263,341,435,217,224,199,470,717,409,324,818,
213,366,085,140,599,655,534,884,694,545,444,018,167,569,248,673,678,209,265,
372,552,409,091,086,072,822,745,462,945,419,784,880,266,293,659,374,897,716,
178,286,570,981,584,506,846,206,311,110,628,539,713,047,624,395,245,027,140,
581,447,340,751,654,260,416,835,443,483,001,252,774,257,712,930,222,612,760,
518,015,650,314,466,355,400,920,277,418,746,604,294,791,839,277,779,465,757,
502,638,007,205,597,520,660,464,471,057,774,129,606,156,662,703,225,611,979,
572,152,315,131,381,662,981,732,668,741,748,318,067,082,946,210,956,634,678,
546,780,684,391,516,060,894,661,657,287,217,780,986,894,425,302,001,131,226,
460,663,362,634,644,147,329,083,977,061,510,181,296,031,209,881,397,604,748,
181,866,862,402,741,168,459,393,633,041,436,768,622,717,117,762,515,993,348,
042,708,457,486,887,855,595,237,804,442,056,056,526,374,020,053,152,971,673,
491,948,218,113,494,847,908,723,698,410,292,894,596,086,639,420,362,352,555,
079,510,645,306,699,513,494,538,426,375,208,280,911,193,924,631,590,263,157,
398,614,162,269,045,476,162,411,128,676,143,055,144,749,622,840,075,165,236,
057,237,299,117,148,080,507,784,202,085,224,071,038,659,822,934,480,898,535,
862,276,648,578,185,620,461,988,391,556,486,049,286,718,561,085,693,425,259,
615,526,782,201,944,606,259,161,530,872,695,438,083,723,727,074,455,688,400,
685,480,854,606,596,976,862,739,076,937,670,712,226,658,487,236,649,474,116,
857,734,507,973,623,969,259,006,507,238,870,033,537,716,649,965,632,230,967,
953,819,416,277,534,555,184,815,996,316,518,032,624,102,035,134,311,480,477,
255,198,142,894,900,819,210,396,949,752,367,592,046,694,488,751,309,024,178,
963,786,164,974,020,235,267,203,952,807,066,340,198,668,135,606,489,671,475,
360,214,251,439,267,227,591,889,049,945,069,652,763,438,428,640,525,535,842,
274,242,872,571,799,810,725,537,017,665,173,118,722,881,825,255,509,862,898,
498,886,423,814,268,665,327,601,860,069,736,306,656,697,920,628,030,845,716,
873,728,389,938,292,731,447,646,482,069,916,295,024,281,387,045,413,565,871,
173,022,392,326,295,954,838,713,091,542,398,478,288,548,870,569,656,393,196,
357,872,369,860,250,263,350,510,952,785,553,075,169,126,328,271,029,925,173,
648,240,793,708,427,293,927,008,378,263,132,237,211,832,262,724,417,548,091,
294,918,304,716,828,788,533,907,748,111,268,452,574,245,067,282,954,316,800,
604,167,995,924,836,791,335,964,984,496,673,473,097,156,681,624,344,211,683,
767,655,025,562,217,045,594,783,674,006,777,423,702,090,243,159,051,112,281,
677,380,036,983,836,357,642,386,987,750,843,127,289,373,083,527,797,807,302,
869,572,483,992,444,064,402,597,935,503,519,626,701,164,538,231,415,454,575,
197,496,761,563,574,587,295,254,567,642,302,674,422,065,098,419,068,206,795,
244,975,498,496,632,575,360,430,311,862,901,755,743,519,305,555,111,291,949,
311,322,904,772,137,419,821,103,364,168,856,265,494,659,140,552,985,568,706,
745,764,121,223,322,979,554,069,947,320,789,802,625,237,957,804,221,208,321,
767,822,508,610,195,975,697,794,567,476,312,956,483,771,704,858,531,115,151,
744,801,269,329,752,322,528,294,505,105,251,789,754,352,859,866,097,442,869,
203,839,222,489,151,783,555,429,168,851,166,994,054,174,489,882,201,426,749,
763,923,307,490,663,631,384,928,880,067,558,702,533,837,015,529,478,450,836,
797,127,994,799,095,482,653,604,052,201,041,333,120,827,326,453,886,810,704,
827,853,550,038,061,167,799,798,826,169,530,600,079,719,619,343,533,026,854,
545,822,736,636,957,590,611,324,307,019,118,804,743,299,763,450,703,979,769,
787,286,882,036,057,051,285,122,876,133,585,697,071,802,980,612,354,856,522,
899,332,573,256,983,019,750,143,266,919,091,725,828,643,603,291,356,682,750,
315,650,877,759,299,019,287,717,252,535,725,594,831,904,610,091,600,073,344,
657,131,760,886,443,142,599,774,930,837,214,596,647,703,359,574,506,480,563,
329,567,156,828,325,653,900,651,549,234,644,207,788,972,817,155,956,399,682,
752,359,459,501,928,140,183,165,114,197,487,532,231,450,562,453,792,510,944,
574,106,334,966,633,672,630,616,550,148,682,349,611,551,917,303,544,604,015,
265,412,601,279,823,895,972,509,400,228,860,553,523,423,327,649,140,596,260,
891,972,863,849,139,216,361,451,333,189,141,668,937,273,558,904,821,592,702,
388,757,079,487,191,626,833,310,406,590,518,758,348,425,270,565,206,714,818,
164,358,645,647,327,430,950,100,592,749,632,106,947,353,622,382,635,139,190,
870,082,787,261,424,917,702,863,735,524,707,792,000,580,480,319,353,398,778,
395,891,067,903,778,530,691,258,189,447,073,566,833,323,817,606,285,658,745,
388,589,658,694,434,830,440,598,431,093,833,201,856,220,849,935,888,141,868,
249,114,429,346,681,696,025,720,221,394,716,071,728,484,402,897,573,364,316,
739,964,635,093,693,210,916,503,487,895,714,033,879,575,278,996,153,341,352,
947,742,359,253,127,790,388,684,175,779,671,261,410,555,537,163,408,773,269,
990,828,602,751,697,888,977,318,947,993,520,113,819,063,817,152,651,789,953,
802,136,307,384,782,042,093,083,598,661,904,133,177,828,760,809,291,392,257,
544,545,364,887,319,083,643,552,167,202,617,581,657,663,709,505,062,954,516,
957,262,089,403,558,176,667,925,464,764,253,692,918,643,450,577,739,894,951,
516,545,611,859,548,659,211,680,229,843,855,081,955,246,629,896,152,076,637,
811,201,262,273,323,202,979,984,868,390,183,168,192,704,137,756,735,994,724,
028,270,562,622,161,013,763,346,921,827,457,615,856,067,671,561,085,012,783,
681,328,538,361,413,476,395,970,017,702,213,307,699,985,141,048,771,951,859,
162,985,279,570,900,393,920,408,624,698,165,735,845,244,976,134,444,561,451,
906,477,549,666,339,213,631,678,264,005,414,747,532,875,348,815,974,528,884,
598,250,580,759,767,158,983,608,637,644,527,068,431,345,915,022,450,653,712,
474,618,238,892,416,090,945,751,524,563,680,127,721,481,757,611,907,745,310,
000,473,324,096,318,401,525,813,566,599,738,193,181,785,405,252,974,438,279,
579,003,353,104,268,254,119,615,294,123,376,781,508,026,196,851,237,242,078,
905,636,135,694,114,809,944,856,756,963,985,752,081,327,346,794,535,269,129,
963,526,621,524,360,827,749,198,553,993,895,651,090,458,146,038,721,678,682,
503,170,746,635,122,425,410,314,721,549,925,780,648,229,042,622,527,937,479,
255,039,880,036,735,798,151,278,495,742,662,256,270,814,585,568,290,073,992,
847,372,494,999,761,299,518,475,570,646,973,714,444,778,646,751,322,958,922,
056,377,422,155,600,173,789,284,028,747,243,620,466,367,673,140,704,452,484,
553,831,751,881,888,375,504,182,443,616,014,220,344,124,288,869,980,125,528,
231,570,998,797,832,381,124,107,442,375,681,433,557,653,381,049,946,339,986,
976,578,267,547,674,976,559,898,017,384,366,643,618,294,393,179,209,184,064,
508,511,644,307,714,877,346,558,593,454,508,102,418,858,153,454,364,759,676,
595,198,569,283,926,633,416,243,645,009,888,764,653,752,933,283,225,655,603,
795,222,741,652,333,827,115,745,296,806,792,083,879,294,067,964,699,630,415,
392,375,441,361,177,144,824,569,148,819,395,755,375,998,677,032,286,057,757,
166,857,631,525,358,330,406,179,717,296,774,527,718,542,660,359,364,279,444,
962,632,593,845,094,661,100,501,685,326,917,182,757,832,947,250,919,738,197,
113,660,023,856,129,793,940,355,329,858,681,975,669,482,757,501,285,998,605,
689,362,243,236,940,298,981,273,183,403,898,150,628,448,534,525,084,904,287,
388,072,486,360,180,067,181,866,022,989,377,446,793,441,332,814,448,910,386,
607,228,746,793,120,313,929,194,327,756,781,214,723,037,527,986,230,491,273,
918,986,470,118,421,923,719,621,794,074,855,654,935,596,979,181,178,758,519,
250,801,522,263,704,483,517,358,210,632,933,990,408,821,024,436,960,550,557,
825,475,620,006,128,760,023,591,374,386,343,320,523,061,746,196,165,516,485,
192,246,997,462,622,954,881,668,403,398,791,759,860,382,087,093,532,401,104,
780,019,593,105,315,528,680,748,605,737,565,288,842,830,854,320,001,166,508,
674,278,663,746,955,931,416,134,163,213,154,385,519,007,408,276,015,318,469,
039,916,650,714,824,988,353,247,428,473,356,957,307,995,827,387,722,673,364,
882,212,211,741,667,375,218,793,656,617,811,909,760,283,780,413,988,812,629,
508,013,832,446,646,452,847,820,766,112,748,125,041,203,243,845,503,554,566,
679,249,344,854,036,505,737,149,372,526,349,834,328,669,557,241,938,447,294,
603,400,897,043,756,879,198,902,120,595,337,542,721,912,751,961,413,584,639,
107,204,751,084,647,524,360,698,037,558,651,538,839,809,817,926,426,942,364,
960,236,117,797,390,246,292,000,860,720,857,762,389,141,851,658,446,994,612,
245,048,923,635,179,044,516,151,469,150,797,660,084,789,268,606,332,187,914,
142,337,106,095,033,647,837,061,534,435,073,230,590,131,308,856,236,133,973,
112,695,519,460,176,217,646,114,637,183,707,407,988,072,611,021,527,737,330,
618,818,807,272,840,126,715,093,319,397,023,988,927,152,249,061,814,378,165,
931,626,292,841,450,030,547,745,718,241,494,421,354,321,637,966,426,937,266,
868,302,769,917,936,592,404,019,059,950,284,694,697,926,170,932,089,532,169,
206,817,964,076,306,992,039,773,890,312,784,491,197,212,929,052,813,765,065,
778,254,010,759,586,448,848,352,825,305,529,181,482,377,836,131,363,627,718,
456,037,913,220,612,830,888,285,249,202,627,980,778,750,471,747,182,059,331,
314,166,478,117,139,787,348,200,773,913,388,626,224,305,449,691,408,494,352,
330,371,058,009,464,145,501,944,972,614,097,227,951,060,015,819,924,971,966,
850,301,133,255,490,560,748,864,361,694,973,106,641,165,265,492,161,630,215,
721,665,831,132,855,446,722,868,999,554,605,047,345,654,060,360,875,978,341,
898,160,102,732,919,503,961,279,487,910,310,119,502,847,113,817,193,546,612,
490,422,720,972,483,950,190,004,016,693,179,912,917,414,755,905,212,180,477,
192,579,079,907,546,988,977,856,584,289,702,117,029,661,190,788,222,782,155,
793,565,381,202,904,647,610,144,330,290,461,767,813,188,612,793,590,210,882,
882,549,432,361,781,092,815,894,719,444,494,121,502,639,453,057,395,881,781,
744,214,684,117,832,604,529,850,534,068,147,181,872,010,510,596,734,656,630,
749,117,658,100,018,056,164,156,667,777,054,723,221,557,838,482,582,592,475,
362,730,176,729,509,369,756,433,034,746,349,778,228,483,676,745,744,838,071,
667,792,241,168,699,987,169,018,360,552,612,768,422,216,788,290,569,571,376,
467,752,321,525,599,911,503,057,966,495,523,334,653,718,236,172,163,422,547,
815,300,524,639,602,592,449,595,545,419,634,100,046,029,342,655,099,982,444,
986,873,749,958,166,718,740,480,285,336,193,472,671,014,840,384,248,882,647,
486,922,101,484,722,576,150,588,410,924,568,180,991,521,172,678,343,224,310,
495,121,204,470,189,016,226,686,744,089,149,998,345,938,425,287,241,837,926,
655,726,902,285,796,838,552,831,416,272,266,705,248,983,261,963,836,647,652,
369,869,537,122,069,316,921,875,525,377,198,170,352,025,587,897,717,245,673,
298,960,096,555,702,340,765,349,692,144,651,008,400,413,015,582,981,784,959,
429,250,225,430,765,809,964,818,730,957,676,865,237,793,686,694,641,620,229,
838,368,621,579,637,884,037,363,809,128,726,162,829,411,627,756,069,080,635,
872,742,428,732,027,964,454,861,404,817,291,883,378,194,683,344,653,025,297,
658,496,150,098,350,837,203,588,478,763,103,126,465,287,675,696,092,011,580,
191,416,575,413,390,569,255,134,477,681,169,837,670,084,704,709,066,532,736,
506,444,567,096,267,379,277,721,003,809,807,261,168,793,399,600,848,653,136,
238,417,554,603,782,910,185,336,391,215,436,792,844,148,133,883,861,908,084,
339,817,453,415,135,626,247,529,610,655,526,735,908,013,581,683,637,191,692,
359,944,367,859,821,881,192,612,390,872,669,145,018,343,809,818,215,448,659,
480,002,026,776,323,071,041,690,786,684,160,072,664,500,288,431,979,372,580,
234,412,856,117,115,383,730,480,895,923,806,062,632,960,132,341,047,809,231,
301,655,492,926,462,750,350,121,902,398,999,395,609,308,851,851,253,646,899,
390,645,265,105,286,352,897,681,357,632,824,043,966,429,988,807,693,178,372,
378,794,976,182,081,276,579,216,429,728,387,334,892,939,247,528,724,803,807,
901,140,722,166,842,410,196,355,338,705,687,758,236,405,673,482,280,194,520,
115,120,198,910,669,163,112,028,865,476,166,607,365,728,860,346,659,503,097,
570,752,694,715,997,853,030,611,248,785,381,945,890,456,465,327,276,189,061,
626,719,387,615,400,359,323,829,124,543,302,127,533,572,608,259,434,370,170,
253,236,630,258,231,565,058,214,213,394,637,586,244,480,593,036,809,944,689,
284,067,682,903,120,871,214,254,943,834,430,419,542,338,789,793,709,930,827,
021,696,413,128,363,268,635,725,563,987,175,456,929,373,056,985,624,017,972,
448,641,540,158,905,477,034,322,470,904,997,887,993,871,690,611,612,939,839,
345,722,402,021,532,087,611,063,966,989,416,038,529,493,077,392,008,031,709,
636,886,038,661,152,533,669,929,920,467,205,275,780,498,970,445,907,922,079,
093,766,102,238,804,757,547,349,487,825,235,951,214,886,983,011,460,417,485,
754,997,164,918,611,203,065,856,467,806,935,417,110,552,820,338,825,734,396,
800,547,214,288,932,189,364,849,327,391,762,687,484,008,484,902,305,801,481,
062,057,222,281,473,156,564,836,464,908,352,343,688,504,932,585,738,158,418,
765,061,791,937,889,932,421,465,498,105,327,131,488,778,318,212,790,037,220,
729,607,094,629,123,497,090,838,069,990,429,254,545,829,944,526,564,516,894,
568,598,497,796,820,867,445,277,622,926,842,787,720,004,448,741,883,536,682,
796,207,301,444,725,315,637,106,079,608,323,879,243,584,613,283,244,583,617,
858,167,315,295,126,795,623,808,473,119,402,076,267,338,418,582,627,365,575,
117,891,365,697,472,740,227,491,005,014,252,736,081,916,276,797,926,045,498,
972,186,343,609,398,792,492,389,758,453,892,164,922,588,832,050,746,222,217,
059,138,502,498,686,550,694,469,942,965,158,664,530,028,542,742,149,311,664,
209,255,477,172,930,765,876,429,959,929,966,593,380,308,643,885,455,340,292,
625,334,955,851,056,134,560,924,982,985,087,003,660,427,197,537,144,141,896,
335,269,568,540,957,969,533,974,024,274,781,234,487,009,851,322,636,376,621,
873,321,659,603,467,449,048,810,117,885,954,261,775,717,676,697,375,469,952,
228,419,833,032,212,291,705,629,335,475,474,948,895,069,568,272,368,513,124,
900,007,590,270,724,070,261,450,688,092,968,516,842,761,676,330,997,449,146,
226,125,040,873,619,663,297,561,604,290,342,585,467,656,312,147,211,897,732,
324,429,251,745,868,132,269,806,665,484,046,317,375,935,338,405,823,656,639,
830,158,703,824,829,312,356,802,810,843,344,220,751,088,849,586,093,951,253,
330,812,982,789,622,022,387,514,707,373,909,495,980,540,764,935,302,188,658,
869,910,069,800,075,425,621,294,538,931,142,145,372,101,325,654,927,313,443,
280,173,658,500,935,255,889,528,976,182,191,441,197,538,471,144,251,105,122,
699,145,111,400,659,796,990,973,240,848,448,619,265,308,763,279,796,445,060,
813,581,219,288,263,083,785,208,263,441,430,686,874,142,687,887,351,789,008,
971,147,854,111,906,489,428,097,372,982,512,842,046,512,011,929,284,573,885,
935,350,759,801,772,047,733,946,633,100,373,854,855,227,511,305,701,073,596,
953,352,322,380,274,124,222,531,564,479,120,731,171,137,982,709,817,405,817,
312,391,807,415,394,400,014,176,657,701,408,483,767,315,249,391,424,894,384,
564,237,994,237,870,927,713,810,692,019,936,590,280,029,016,096,452,973,917,
323,681,726,155,466,501,797,083,450,923,626,693,647,162,021,997,408,584,162,
808,950,646,247,513,508,129,914,992,193,592,621,601,809,868,428,965,862,069,
436,262,488,183,798,272,816,371,951,545,999,422,751,819,092,254,744,605,633,
865,983,250,915,960,269,186,431,107,370,543,441,636,239,698,380,917,578,861,
919,595,525,389,689,871,348,898,752,129,361,337,684,815,289,948,544,840,375,
842,510,693,509,760,963,503,195,159,290,787,334,403,850,971,845,711,319,994,
806,938,480,845,776,572,318,223,148,848,601,279,321,556,774,330,635,477,925,
708,785,102,554,466,347,250,570,729,776,320,996,818,500,854,029,273,771,874,
528,058,800,627,253,109,277,373,127,549,451,388,160,874,683,444,217,268,525,
300,072,057,753,643,802,268,283,202,637,578,017,782,485,554,992,524,613,700,
589,401,092,104,376,183,560,887,067,247,597,265,092,216,349,629,679,837,034,
377,809,375,096,842,007,030,028,163,899,356,137,797,610,698,826,058,614,699,
159,085,794,665,474,382,956,620,817,696,171,978,534,206,451,001,083,467,742,
139,380,676,624,597,843,575,013,826,562,197,513,753,023,031,580,861,673,490,
169,611,073,048,504,175,644,105,539,075,164,514,425,984,701,444,715,068,724,
112,400,942,680,527,388,287,388,152,082,629,352,607,824,115,238,906,219,307,
587,607,589,885,167,357,956,695,667,949,639,406,268,749,731,378,014,909,166,
451,959,508,684,913,886,402,162,184,157,424,191,571,254,156,655,582,305,872,
094,786,925,102,217,925,230,808,652,895,057,182,290,018,387,801,289,729,128,
656,872,317,003,203,373,807,741,358,342,409,069,349,303,544,672,112,341,617,
542,648,685,405,812,393,185,271,630,047,072,913,850,458,827,992,989,228,555,
319,641,084,966,222,275,098,383,147,430,995,318,018,536,348,838,771,584,775,
069,428,481,252,129,459,805,683,283,648,649,019,752,002,074,617,053,315,189,
667,626,918,948,788,757,491,588,624,954,694,113,654,438,414,492,952,632,372,
749,706,363,808,161,331,535,747,896,037,275,121,382,155,902,147,434,716,384,
463,405,669,723,451,699,975,894,616,398,756,108,349,129,707,389,398,135,927,
884,381,176,131,408,034,141,733,817,865,056,721,022,982,797,051,584,226,839,
163,606,946,922,440,583,025,727,243,488,976,997,707,424,658,140,810,034,916,
415,307,124,497,051,458,588,905,303,476,312,110,771,150,282,550,936,437,712,
708,971,368,189,911,767,258,020,143,787,468,205,541,120,702,181,158,226,486,
527,564,761,936,975,066,961,772,934,736,880,237,785,269,247,110,924,993,540,
114,531,262,640,477,441,942,553,131,956,729,619,938,252,389,655,594,225,713,
986,697,330,352,732,685,820,370,219,062,808,884,995,815,848,461,691,616,266,
162,430,276,930,771,454,460,417,336,731,109,668,092,922,844,354,607,123,223,
829,779,366,123,063,029,211,004,248,592,837,620,104,639,483,182,636,172,473,
022,463,525,253,499,778,634,603,404,643,983,934,910,664,866,721,448,036,210,
928,217,471,916,913,692,989,654,036,859,071,124,143,470,187,019,236,232,781,
770,577,943,959,846,695,088,631,291,440,502,758,309,546,204,043,633,694,271,
426,059,489,921,298,689,420,608,520,309,708,683,352,059,850,523,372,398,360,
873,583,997,716,441,060,560,117,202,344,398,133,308,342,458,024,389,839,198,
687,695,159,773,101,077,809,141,631,451,487,912,414,961,656,651,786,751,985,
592,543,126,018,122,209,655,240,711,011,248,065,737,776,004,581,704,466,307,
512,566,782,932,506,946,204,555,485,532,255,566,917,385,871,690,293,694,867,
585,306,550,083,262,308,323,079,144,756,853,494,893,937,127,445,387,031,695,
927,288,807,553,816,771,026,995,198,483,882,592,283,367,638,465,405,331,733,
503,017,573,703,606,219,577,651,222,781,373,600,875,169,742,331,276,498,803,
009,796,630,061,338,884,904,539,026,170,748,247,696,552,385,598,078,305,107,
425,038,643,374,950,948,464,702,667,319,982,386,783,448,414,160,259,665,205,
934,719,130,576,092,511,868,873,598,315,094,644,940,066,912,209,557,540,829,
097,198,947,736,961,182,990,721,838,725,251,842,500,644,816,695,276,955,138,
906,679,999,900,394,108,765,458,397,811,617,864,707,081,927,289,301,575,550,
574,666,069,653,918,014,060,651,958,622,787,377,780,994,457,108,002,056,674,
558,947,435,172,986,273,970,155,835,035,910,628,207,901,263,328,872,896,881,
671,343,664,396,604,001,819,597,458,973,789,086,951,889,881,392,121,479,059,
742,579,804,942,795,674,011,800,778,589,481,750,191,385,604,024,514,482,195,
714,256,296,259,732,747,099,332,871,024,605,376,410,208,049,003,731,570,679,
798,109,200,480,498,513,266,744,092,458,049,859,661,542,513,061,171,345,463,
174,558,004,621,896,422,460,566,196,396,961,986,735,795,782,952,681,032,155,
062,848,430,113,260,200,661,533,834,330,351,334,517,979,881,475,889,373,245,
866,602,562,289,084,945,257,894,167,155,029,461,907,404,572,508,335,232,073,
292,892,692,170,498,267,412,242,843,986,558,968,079,725,602,066,704,980,598,
761,580,373,660,252,830,881,989,866,577,863,208,183,895,341,459,647,330,064,
758,907,268,631,537,887,906,096,243,744,640,838,333,474,732,569,308,941,984,
149,691,495,825,854,282,870,620,720,501,122,899,639,579,491,913,385,958,317,
126,196,432,910,460,722,177,623,913,867,508,997,260,604,231,389,677,956,854,
284,098,138,795,892,344,575,595,000,498,039,933,859,097,078,173,644,564,730,
027,388,512,077,721,804,701,659,316,100,717,838,590,933,957,587,391,870,121,
788,611,230,052,662,229,461,006,943,136,339,084,865,534,646,835,288,206,290,
077,730,303,886,380,443,393,177,772,522,673,849,031,533,988,413,271,398,271,
112,272,199,107,597,173,105,208,243,671,489,012,653,974,892,962,028,910,539,
475,083,734,369,409,209,700,535,855,485,844,875,889,397,493,163,211,790,887,
952,696,217,802,947,683,968,999,156,057,557,232,449,889,935,507,913,765,647,
593,433,961,365,040,976,282,515,410,341,614,033,415,581,157,639,154,793,126,
870,018,870,248,734,772,849,978,928,212,148,593,785,893,335,149,151,820,032,
327,683,103,536,198,712,878,394,059,846,002,108,974,371,348,112,689,247,376,
653,556,210,168,967,219,971,861,554,393,790,663,621,185,602,155,774,282,563,
391,158,512,864,758,478,949,311,320,253,088,875,240,011,221,166,330,398,513,
880,199,534,986,096,887,965,314,639,907,253,519,401,854,858,297,953,745,609,
438,435,936,169,208,209,902,614,150,231,821,310,914,371,089,493,068,700,013,
896,031,241,834,391,031,769,369,120,430,473,931,462,753,881,663,904,427,110,
705,802,813,439,217,948,696,341,402,041,071,856,221,916,244,749,909,880,435,
928,787,126,106,107,467,448,932,427,892,861,759,814,766,098,932,404,011,370,
589,586,241,877,422,094,295,773,313,403,158,201,593,003,171,558,389,569,289,
248,332,958,083,067,290,081,937,661,719,410,164,180,748,667,876,437,798,228,
128,631,526,020,784,654,506,251,250,842,823,688,025,813,985,102,264,895,375,
510,118,585,402,798,998,141,409,342,670,480,660,097,823,009,315,653,775,127,
107,401,597,558,577,362,460,682,768,329,289,599,791,965,151,538,632,425,207,
621,609,475,176,049,317,604,181,730,471,262,367,156,287,487,680,586,738,983,
795,051,682,803,326,718,059,587,152,183,434,314,173,084,855,630,604,891,589,
839,051,918,224,294,114,120,045,506,535,810,914,184,061,461,919,314,285,642,
997,691,538,927,761,159,277,217,350,345,425,976,359,776,379,355,139,132,596,
136,967,933,516,597,205,865,863,194,482,109,061,476,509,308,876,160,853,949,
888,795,629,052,061,865,012,443,169,928,153,565,275,700,956,036,391,142,869,
556,015,465,265,759,545,011,912,226,896,684,890,553,146,279,166,989,836,817,
452,957,056,765,073,829,825,034,088,721,414,589,588,912,622,393,307,925,097,
296,402,075,239,428,829,243,682,899,949,811,529,003,096,064,598,546,915,544,
725,708,643,018,337,975,622,513,649,062,554,424,152,106,072,897,867,029,348,
316,876,258,281,049,431,139,408,103,866,102,506,349,033,334,337,835,718,641,
187,790,853,843,680,470,266,176,650,485,622,836,235,686,364,498,156,452,411,
298,948,937,152,761,157,462,162,363,209,977,212,959,600,769,476,015,041,580,
229,901,701,372,597,151,576,936,447,429,803,497,446,566,939,591,092,433,755,
807,499,878,007,860,890,189,676,203,756,071,544,208,657,324,344,564,696,711,
907,707,349,262,455,217,252,601,841,862,448,414,803,652,778,003,069,739,485,
449,132,166,043,151,368,614,965,129,337,471,163,141,931,702,727,156,714,560,
783,124,187,805,636,811,820,117,780,424,731,987,976,925,268,401,268,600,146,
350,253,563,034,683,022,655,896,187,272,658,121,168,904,269,322,260,652,052,
469,198,975,768,742,210,175,174,141,063,564,965,316,911,015,226,659,200,526,
175,456,107,605,759,479,944,043,568,127,409,755,538,403,866,363,225,106,659,
008,494,101,070,302,968,489,248,049,447,384,897,402,023,224,993,163,196,288,
813,928,861,572,719,386,747,819,950,797,916,454,192,269,069,998,172,491,550,
213,643,058,926,276,005,863,253,766,674,667,201,278,830,249,672,438,927,496,
931,054,487,799,544,090,107,231,669,896,387,407,195,509,330,910,725,153,379,
014,250,363,467,576,430,376,982,296,384,786,625,679,267,061,948,162,951,623,
899,961,299,280,221,581,861,889,306,583,279,943,727,190,169,065,004,800,365,
946,711,107,434,904,325,822,097,855,005,769,793,233,833,889,736,568,886,231,
249,742,339,353,208,606,729,206,551,258,324,364,600,981,148,921,151,614,749,
431,988,023,871,964,407,865,386,143,348,291,383,259,178,218,973,488,214,110,
607,824,383,692,948,547,325,227,514,358,925,661,713,137,496,780,089,677,793,
980,490,811,696,231,191,532,459,946,306,867,468,240,477,871,789,791,413,550,
681,042,877,297,427,075,067,998,296,101,603,892,026,773,628,193,992,193,335,
406,335,236,251,225,709,276,526,359,834,898,198,880,655,946,646,097,691,064,
603,429,679,118,480,522,414,074,944,617,176,407,573,245,242,620,591,723,243,
088,386,816,839,460,084,923,291,947,063,636,989,294,456,752,250,522,131,425,
373,968,909,337,063,058,416,361,995,484,946,981,075,654,700,755,665,216,544,
216,384,558,377,416,511,275,172,844,368,153,886,324,363,372,200,958,791,716,
951,240,901,359,838,029,348,412,841,042,475,016,425,996,300,169,447,432,433,
541,203,976,125,558,625,798,655,130,682,845,710,291,818,369,328,345,299,873,
739,335,677,210,239,829,372,701,962,360,331,132,098,761,586,101,673,471,211,
260,338,807,334,478,062,171,070,568,175,145,303,988,203,400,031,922,444,491,
986,034,829,987,103,368,264,091,611,098,248,006,765,352,895,117,518,847,794,
161,377,312,129,238,260,303,591,972,243,123,007,793,600,665,538,540,081,802,
919,653,125,050,984,356,111,105,728,271,012,594,572,047,153,003,374,597,776,
491,506,161,906,010,167,255,361,309,297,447,996,498,065,215,040,366,569,505,
749,844,218,458,069,615,471,080,847,927,637,079,499,798,674,344,307,184,884,
782,038,915,515,068,345,413,380,466,051,554,773,016,442,710,363,508,040,750,
357,444,312,948,188,633,912,813,975,009,912,599,259,209,813,055,437,183,661,
162,392,926,470,124,294,318,769,871,717,285,652,984,590,814,914,196,619,129,
570,359,352,522,566,187,050,370,667,471,162,866,855,056,511,245,225,419,916,
369,010,966,271,761,872,566,821,427,398,669,686,728,721,241,022,815,530,753,
068,215,230,555,453,683,593,664,842,321,904,836,651,214,046,765,643,971,889,
079,328,531,529,950,024,251,689,540,210,441,429,437,752,852,179,719,710,163,
558,967,759,109,627,145,573,967,249,931,714,438,579,654,995,479,333,174,624,
628,260,363,991,614,994,580,900,111,719,438,207,988,032,978,818,759,216,041,
907,981,076,928,042,200,921,576,155,437,634,382,670,548,070,535,775,768,390,
336,972,171,451,700,798,778,763,524,533,630,512,899,020,808,433,384,312,586,
977,915,126,368,033,601,263,922,739,909,136,602,483,093,404,276,016,391,523,
130,016,305,941,255,332,849,996,722,355,818,758,395,151,761,817,724,532,272,
923,007,585,265,862,657,710,432,643,538,033,599,836,170,391,823,305,906,938,
356,776,597,632,028,588,396,241,946,438,031,004,368,262,623,644,740,808,479,
550,410,465,818,195,799,871,297,755,289,265,790,836,452,315,165,504,549,824,
376,014,974,808,239,506,282,043,764,761,282,434,404,545,323,384,049,603,747,
147,657,095,509,633,495,794,022,756,750,470,703,085,143,766,754,096,603,591,
095,064,120,618,705,752,435,886,906,601,529,837,464,253,656,665,654,636,502,
529,434,308,028,762,701,183,558,116,517,005,421,267,177,790,832,293,340,275,
558,420,682,210,934,004,437,984,749,245,717,676,364,648,636,675,874,301,844,
145,120,239,244,866,567,914,083,034,493,502,291,254,873,440,513,282,944,896,
011,625,997,410,208,074,506,604,495,190,572,838,262,289,684,726,635,406,415,
785,517,136,468,712,696,338,118,085,732,480,757,572,719,258,858,598,697,067,
113,183,082,879,380,574,486,507,578,103,393,591,543,882,209,454,570,418,792,
468,781,984,734,478,021,191,730,909,890,129,231,505,067,343,016,514,361,604,
363,139,586,758,626,982,734,578,011,688,184,874,707,055,578,824,413,381,752,
931,560,352,874,643,088,209,678,309,772,442,672,162,997,797,297,206,018,439,
079,045,473,795,638,611,812,123,214,610,740,668,286,408,062,246,201,141,913,
863,849,371,606,517,902,204,212,194,635,961,616,825,987,398,323,319,295,406,
403,513,428,065,224,883,108,767,045,159,934,637,602,286,814,321,518,539,295,
328,841,415,312,200,785,828,366,124,460,127,058,768,599,526,336,536,028,838,
099,519,319,480,209,752,479,915,340,097,996,614,475,880,440,970,742,384,221,
910,315,903,616,167,937,456,349,576,518,841,960,689,123,007,830,385,733,217,
164,896,416,257,681,157,427,319,626,420,045,555,585,472,239,985,052,146,881,
525,686,326,956,592,813,828,330,578,390,750,407,291,605,750,851,922,901,300,
430,993,324,916,396,858,238,652,572,720,446,766,404,659,295,760,303,097,350,
941,802,196,476,346,162,895,940,232,983,092,826,892,952,390,864,636,526,912,
342,561,160,924,620,139,285,725,409,413,855,735,298,239,321,562,123,067,493,
376,847,314,601,037,446,568,435,905,359,715,771,374,775,510,604,100,852,365,
017,232,407,857,247,343,734,854,783,897,902,864,036,208,277,129,927,727,358,
709,539,498,377,118,520,856,798,091,269,398,346,799,927,768,139,406,262,981,
858,078,848,323,765,625,005,270,975,360,336,204,028,393,216,738,137,138,455,
131,737,658,765,144,978,344,625,944,970,869,463,664,054,714,952,501,990,524,
311,727,784,074,404,516,404,843,336,042,621,725,010,929,542,633,041,708,199,
873,566,577,450,651,008,111,366,113,658,737,259,055,568,632,522,054,488,847,
181,756,819,352,316,313,196,147,890,120,368,815,362,950,246,242,871,115,024,
071,471,723,390,727,794,355,694,469,980,060,096,247,480,258,023,785,580,417,
884,700,277,350,078,898,699,032,208,640,576,588,126,849,720,201,293,216,299,
189,587,965,111,812,364,961,651,172,940,295,639,153,392,329,125,105,617,593,
598,817,009,607,941,533,997,739,682,123,389,005,593,514,226,182,153,728,063,
781,574,878,473,065,958,892,069,416,198,727,765,856,064,952,825,748,753,321,
131,030,985,769,207,554,746,292,848,941,489,876,195,749,773,899,875,261,325,
565,923,899,664,700,309,872,360,111,525,722,987,602,480,553,011,863,962,294,
886,932,915,548,050,986,294,361,885,255,307,876,848,437,600,069,471,571,578,
005,429,143,590,269,044,553,852,943,731,075,898,460,717,342,471,111,303,284,
359,806,015,544,722,537,130,308,242,682,998,806,409,039,549,159,484,671,677,
194,092,558,481,676,772,639,183,258,708,850,308,682,760,545,829,848,765,391,
581,487,026,570,845,210,448,395,617,574,776,234,358,167,898,060,894,250,502,
802,817,541,250,171,639,852,293,185,852,112,812,687,126,835,850,382,491,732,
087,578,323,488,953,107,746,758,740,973,066,669,995,336,350,699,662,584,920,
700,910,378,711,619,142,637,073,009,203,869,503,713,536,065,910,098,823,943,
067,077,705,492,677,156,533,072,541,313,668,677,379,058,181,027,231,500,044,
127,479,882,700,842,542,697,793,215,332,542,694,117,156,734,091,838,717,881,
079,346,488,661,049,169,176,562,493,177,107,192,590,926,211,459,790,884,688,
851,391,467,551,624,361,482,992,123,155,526,349,286,857,137,734,442,139,060,
276,335,464,874,131,094,151,067,306,579,136,851,808,510,747,169,572,654,251,
225,237,761,118,073,265,889,391,306,442,990,663,468,666,160,069,273,744,834,
261,152,425,430,546,001,435,540,019,149,265,782,571,192,122,616,808,316,075,
617,273,188,737,850,587,114,346,493,738,583,454,531,574,171,762,638,239,366,
676,329,331,125,818,430,275,756,023,728,666,874,424,513,791,113,160,215,983,
537,080,405,380,629,309,336,492,752,262,183,134,365,052,092,828,405,998,906,
458,714,852,879,882,771,205,208,480,942,340,878,393,910,547,454,884,058,110,
186,065,096,392,537,510,720,960,578,491,919,763,107,339,690,454,275,455,952,
745,498,462,159,000,337,154,521,239,900,760,852,979,494,970,260,587,653,778,
209,625,861,167,516,878,841,021,807,286,737,646,958,238,439,423,377,073,638,
143,333,021,605,196,367,941,081,583,634,635,263,363,584,978,101,238,837,310,
018,764,346,042,122,917,285,274,028,050,759,044,274,920,484,370,809,059,571,
995,143,090,118,487,457,110,633,603,122,137,376,490,940,304,102,641,535,085,
592,919,924,297,027,702,020,871,646,898,435,491,120,700,228,824,134,316,194,
336,421,050,204,099,384,536,839,772,343,634,868,519,937,399,095,525,390,851,
797,434,029,012,860,982,888,145,573,082,825,797,937,403,904,557,748,779,314,
442,519,926,674,100,892,744,935,169,496,194,121,479,506,231,025,726,663,977,
852,088,028,383,837,475,329,389,722,891,532,332,265,280,981,639,095,848,231,
766,383,678,233,556,258,379,471,801,645,118,495,259,477,242,311,825,794,260,
179,327,150,576,940,727,437,594,035,995,086,459,191,424,638,503,284,395,961,
116,676,360,754,767,265,682,952,232,347,953,703,215,151,979,311,860,529,651,
571,135,965,043,165,140,926,992,935,882,259,524,068,634,489,080,360,314,317,
477,933,099,931,544,232,998,932,292,995,452,459,536,616,433,576,590,876,201,
371,976,857,323,787,286,588,837,602,893,169,168,919,513,907,267,270,873,098,
226,562,745,125,733,942,644,531,441,908,636,478,036,220,439,825,951,596,208,
680,022,020,165,620,992,236,013,897,222,237,730,041,515,551,576,557,248,978,
756,351,033,800,579,834,592,068,229,033,789,847,003,609,538,466,156,461,402,
106,192,291,173,014,425,146,180,113,904,744,474,664,009,669,605,324,652,449,
696,183,185,015,697,104,710,522,160,012,143,045,476,246,252,720,327,895,101,
363,135,804,112,670,109,839,203,496,711,809,540,496,484,607,610,675,268,875,
685,416,427,776,074,771,285,740,550,289,484,097,201,739,776,266,682,118,091,
664,799,427,412,894,504,983,811,821,846,467,046,343,313,328,096,312,676,154,
166,852,391,781,876,151,555,657,967,948,936,385,107,763,500,291,385,960,336,
145,253,037,424,938,271,439,414,499,322,373,634,011,918,499,996,877,354,322,
650,344,426,544,258,233,771,947,087,686,221,494,418,979,733,668,933,261,533,
170,067,793,414,355,384,367,203,989,814,653,502,840,219,251,068,733,572,726,
316,941,711,772,368,425,312,139,642,057,792,764,401,066,890,602,992,434,498,
177,530,595,169,349,599,009,727,128,340,972,346,116,293,538,439,985,448,630,
220,809,994,073,078,902,313,692,109,186,077,991,935,856,387,903,163,073,474,
081,986,489,094,604,511,200,258,861,494,215,885,733,704,782,462,171,535,691,
220,153,726,200,463,991,816,744,432,257,324,567,928,056,151,853,246,153,291,
686,053,582,349,744,028,336,189,704,148,478,185,807,813,019,104,240,981,791,
465,292,059,257,789,182,188,639,321,862,996,949,089,795,466,424,713,673,505,
188,735,156,368,678,030,440,653,555,286,293,577,005,967,735,564,635,500,266,
058,824,898,727,464,546,471,696,460,476,652,176,453,890,887,831,941,764,917,
387,821,779,742,946,339,620,500,662,178,622,531,341,049,426,036,957,442,752,
524,774,540,365,925,524,333,306,090,529,852,976,359,863,427,783,755,345,724,
691,926,420,101,501,205,308,767,389,060,192,381,052,806,554,748,972,537,596,
137,105,043,728,579,216,642,438,147,285,554,894,796,745,893,946,790,126,334,
283,071,736,363,996,119,414,789,835,920,330,786,398,320,201,588,009,658,659,
399,746,520,325,227,336,137,640,412,940,231,480,441,895,210,063,929,972,029,
009,249,487,581,806,703,902,901,949,822,657,547,136,564,111,940,413,540,117,
159,675,601,168,196,232,255,433,199,726,573,352,343,962,830,917,079,279,023,
025,529,723,921,759,487,981,368,126,831,995,624,597,608,009,329,231,372,997,
409,000,621,690,650,521,651,979,794,214,332,456,736,617,028,588,674,768,919,
375,197,852,801,571,135,155,637,232,666,356,523,036,222,813,113,149,533,144,
126,878,630,716,680,529,775,145,301,873,961,331,877,819,742,004,006,001,268,
189,992,101,011,838,298,081,015,894,518,357,073,502,354,525,161,694,442,169,
860,042,831,236,703,061,560,303,867,181,938,554,307,993,995,079,281,598,525,
111,977,769,783,451,997,391,518,552,065,956,522,946,533,858,492,769,782,039,
188,571,503,614,915,845,823,860,990,152,834,011,923,552,107,381,072,107,608,
369,287,783,563,533,735,193,271,999,720,978,427,781,522,344,416,290,313,668,
705,409,749,461,374,631,810,484,559,061,815,172,206,890,915,229,940,769,158,
696,193,251,359,785,174,618,996,814,506,368,828,766,830,600,995,695,722,370,
800,347,804,404,405,093,691,617,918,948,359,015,107,256,989,245,118,838,589,
554,200,182,731,658,331,563,387,182,122,736,872,127,842,104,106,810,791,658,
282,477,933,683,686,468,988,667,827,173,512,355,447,795,588,650,631,593,010,
405,855,252,531,456,979,356,537,365,900,447,574,107,201,308,645,962,710,728,
246,807,868,865,783,371,536,669,879,443,065,156,944,429,449,587,874,362,165,
640,186,471,863,058,858,095,891,856,246,316,084,282,358,311,166,776,827,087,
860,302,959,121,087,142,330,318,791,481,131,123,892,533,312,785,872,972,473,
049,948,824,801,712,234,330,887,936,996,070,510,621,533,679,124,705,061,978,
104,010,718,910,696,047,220,813,882,374,370,335,479,998,294,511,282,518,126,
668,996,426,326,704,726,967,169,053,394,585,195,923,558,397,035,240,439,448,
595,158,346,706,376,447,745,589,819,480,552,460,377,594,069,788,304,463,642,
219,264,478,537,643,148,619,106,798,687,789,801,693,382,005,036,492,598,164,
377,479,463,019,706,484,073,481,420,293,067,819,428,864,894,571,047,696,534,
159,873,221,313,249,960,376,705,114,568,132,612,362,958,351,970,404,220,313,
350,302,120,960,120,625,345,849,548,054,152,091,456,215,142,047,077,839,179,
904,486,994,313,527,912,513,317,616,549,833,684,195,684,430,159,108,328,978,
266,253,521,746,675,355,057,215,165,753,463,129,801,767,702,019,799,532,328,
337,391,326,441,487,724,979,859,025,106,731,515,409,288,481,607,336,414,616,
971,406,516,521,110,825,993,331,911,406,453,423,286,365,893,603,139,763,891,
543,280,661,980,285,157,862,715,766,674,188,347,166,678,513,261,624,569,385,
359,031,841,988,727,203,991,752,305,741,336,734,798,427,566,609,103,803,803,
763,332,488,968,288,900,896,080,436,564,270,542,286,840,444,006,677,939,748,
813,339,492,352,059,964,674,509,061,464,878,169,396,951,934,615,732,423,954,
367,407,867,028,241,620,254,983,583,555,516,469,725,081,457,010,319,832,224,
570,355,768,272,632,208,079,726,476,409,445,772,765,399,275,409,423,775,826,
986,082,671,627,778,232,881,717,931,814,813,431,284,793,663,966,021,118,024,
615,150,032,447,098,002,105,745,144,005,229,427,973,037,288,949,428,879,614,
327,059,500,446,921,430,768,512,332,219,802,193,752,197,931,497,404,356,006,
106,387,220,071,872,245,615,821,123,165,545,738,948,700,730,920,461,571,221,
122,292,053,932,283,174,815,930,284,882,273,342,880,630,890,342,401,507,263,
319,210,347,482,302,751,758,032,163,045,403,366,572,035,426,634,468,514,996,
927,838,030,092,436,571,533,994,771,522,469,968,762,216,870,745,704,575,293,
528,013,237,827,961,567,110,456,402,197,776,464,775,046,426,094,321,512,172,
682,063,301,116,610,973,289,393,393,244,779,512,231,350,649,550,871,510,884,
819,821,944,644,364,096,199,183,877,999,946,279,729,329,040,409,383,188,313,
537,484,027,822,128,335,702,254,820,662,225,031,335,509,266,553,025,393,851,
121,362,551,021,880,347,091,957,780,823,546,877,608,066,111,123,205,949,054,
195,358,774,899,903,546,661,201,168,989,214,739,906,066,381,879,003,177,244,
958,927,987,874,955,116,206,562,328,093,589,118,732,625,063,072,735,001,233,
877,970,182,055,426,006,859,835,750,606,604,702,859,972,518,465,447,786,865,
998,800,808,256,857,952,902,289,972,604,246,024,487,166,450,257,038,419,398,
459,266,799,281,851,731,349,784,142,318,525,138,525,698,561,166,228,095,392,
015,005,559,837,883,357,348,686,027,041,216,784,629,053,699,791,944,337,686,
241,011,837,896,490,127,031,229,550,659,663,556,268,325,094,956,566,208,509,
676,716,466,790,289,147,178,275,881,344,133,361,970,614,227,190,654,524,150,
187,937,178,672,820,138,096,669,778,157,022,588,455,240,630,206,002,123,543,
074,467,988,652,081,051,012,027,248,645,584,938,594,943,868,271,984,682,681,
897,876,839,606,617,764,229,543,510,752,794,988,216,604,923,372,233,955,896,
022,099,099,217,415,786,138,876,861,236,578,678,589,530,799,104,587,730,973,
572,092,827,652,880,638,630,745,114,065,219,702,546,257,026,062,104,401,900,
586,606,291,175,349,760,659,709,008,759,717,245,514,827,970,551,688,523,576,
564,880,163,975,956,688,429,592,223,213,537,787,978,737,049,052,043,716,566,
823,534,510,322,150,421,926,494,634,825,510,110,810,683,075,001,598,408,780,
188,564,644,252,372,241,152,954,535,568,745,924,031,061,515,108,257,567,968,
053,222,504,091,917,639,113,129,153,544,918,617,632,067,524,525,940,971,487,
233,152,088,221,760,066,102,866,114,428,053,285,162,061,479,584,417,919,298,
711,049,356,653,251,159,813,513,536,201,457,214,524,512,275,086,365,692,098,
840,675,760,324,482,107,596,719,541,351,285,176,076,204,761,333,893,862,997,
197,022,445,174,834,306,343,765,114,878,557,962,784,353,503,810,269,351,920,
600,017,325,906,675,352,171,543,201,719,069,222,109,067,364,197,875,104,000,
405,514,750,608,995,956,860,871,411,191,865,293,122,437,655,767,916,116,314,
665,617,391,776,409,289,357,130,898,785,356,117,260,567,078,029,248,161,676,
311,130,788,362,378,328,440,879,039,279,460,793,592,510,580,850,439,605,267,
100,810,233,143,892,195,593,225,577,173,273,175,238,553,647,184,498,906,492,
965,052,612,886,939,306,754,640,761,237,024,386,487,489,818,412,973,123,950,
351,646,736,427,149,259,562,321,416,039,827,976,689,089,580,054,450,735,726,
957,002,599,703,811,890,430,662,339,373,426,102,258,171,991,006,564,611,457,
362,021,684,358,561,833,115,759,099,461,300,191,601,050,291,364,109,087,800,
214,943,228,126,382,343,055,922,817,972,000,175,443,274,348,594,631,592,480,
106,289,606,433,711,233,933,004,324,480,738,402,179,162,617,298,581,861,050,
709,286,693,565,787,776,777,533,401,892,789,701,928,791,208,304,240,137,853,
783,410,001,689,098,547,722,479,712,924,323,927,815,227,646,902,324,263,777,
868,187,506,197,455,256,399,076,299,137,052,812,591,745,407,852,876,389,676,
268,396,350,239,459,687,286,401,820,465,279,369,070,575,063,773,074,126,111,
323,780,615,829,300,468,157,680,233,215,477,160,621,893,443,718,110,092,497,
359,907,231,510,931,541,988,275,311,163,701,549,961,398,004,903,437,465,727,
565,500,671,586,431,040,564,460,513,447,890,915,588,630,018,199,900,804,111,
443,440,467,289,168,207,844,284,733,283,790,183,664,018,956,454,251,969,015,
380,677,929,564,799,441,070,962,521,052,656,610,835,827,167,188,688,240,311,
683,697,366,003,585,811,455,733,480,384,565,382,104,568,659,064,764,638,751,
319,800,484,284,359,235,629,499,731,046,760,607,534,765,103,745,628,308,412,
943,181,683,965,383,833,174,496,209,779,310,907,093,089,350,145,083,889,274,
284,109,485,817,764,990,268,419,663,910,346,577,250,923,051,787,499,293,843,
970,505,046,574,314,904,221,860,265,051,181,935,349,788,658,611,198,080,899,
335,216,554,878,353,365,828,511,024,453,586,814,087,189,700,493,102,417,763,
060,164,423,953,611,866,855,546,248,898,471,961,975,362,376,246,563,273,522,
516,808,282,052,723,214,254,963,806,752,037,443,286,351,097,938,508,073,505,
397,595,103,286,207,176,259,535,341,702,643,601,890,515,259,985,350,213,496,
509,995,705,224,257,124,426,719,378,875,269,083,261,919,335,163,818,896,220,
358,537,287,658,386,560,580,468,270,467,364,874,715,595,718,542,989,267,183,
836,553,836,503,811,729,402,280,323,341,735,979,407,257,276,325,383,362,288,
057,769,847,254,036,790,031,941,001,827,803,303,359,508,736,821,878,211,427,
251,278,126,963,108,613,419,353,666,409,478,607,346,184,170,648,083,443,423,
233,317,841,137,649,338,795,182,592,986,093,066,534,440,766,966,957,814,437,
204,485,805,087,657,264,442,676,853,858,095,115,271,231,915,046,872,691,883,
120,759,735,581,276,231,196,543,425,276,776,622,127,833,957,421,982,163,111,
277,044,309,830,320,337,339,337,682,091,339,865,867,713,479,145,998,787,264,
116,606,420,916,344,595,615,576,230,471,989,677,228,617,671,339,651,586,514,
142,045,885,417,920,180,941,300,610,094,702,579,832,901,591,538,773,146,378,
355,700,974,538,081,882,726,393,508,547,712,633,646,302,086,935,856,243,390,
793,765,434,912,820,508,423,142,719,451,958,078,789,826,780,158,130,129,119,
093,157,487,610,124,733,545,769,912,289,697,373,154,698,268,617,540,585,284,
692,981,842,949,884,953,317,750,700,256,140,042,896,631,219,988,550,263,526,
703,406,383,089,589,060,978,020,631,299,226,778,190,505,901,108,362,700,701,
952,107,178,479,116,489,011,794,416,640,389,312,830,356,008,757,932,168,746,
215,720,743,135,990,310,246,793,790,453,371,838,555,264,621,785,227,549,345,
157,734,980,271,257,383,183,298,889,876,522,306,159,227,326,550,845,388,513,
977,597,063,753,825,293,108,117,424,825,811,184,781,045,227,981,233,628,836,
904,667,966,880,380,399,638,067,908,787,619,476,106,541,532,834,531,711,402,
771,824,415,034,107,698,241,228,428,380,852,521,423,748,008,164,466,485,810,
747,568,317,234,854,234,743,953,545,873,552,196,111,007,141,258,240,734,698,
083,248,029,266,802,467,800,544,793,479,894,180,240,717,277,659,888,751,013,
672,644,220,887,471,487,979,434,671,464,404,041,549,994,983,162,899,036,556,
365,649,933,592,569,656,614,056,815,310,161,777,735,333,006,967,423,158,890,
174,356,781,807,261,699,089,034,017,801,395,527,217,584,710,262,910,359,237,
037,323,680,541,701,875,394,712,973,847,195,653,906,153,401,104,572,525,194,
117,491,612,147,595,976,705,804,126,751,306,451,091,249,966,373,523,392,139,
768,281,257,815,324,228,714,521,922,231,449,937,567,749,889,990,140,814,084,
674,081,209,137,454,751,685,296,220,576,905,523,492,236,165,142,413,066,065,
238,294,684,052,891,211,902,941,892,849,330,665,202,754,645,412,120,228,719,
794,499,954,022,440,602,317,816,606,648,091,032,188,713,970,765,315,392,598,
775,447,460,724,559,294,940,676,270,664,047,713,883,014,697,119,515,398,614,
970,335,861,666,395,815,192,692,150,362,107,010,028,960,180,012,176,183,677,
307,957,681,115,083,584,357,612,652,719,972,344,037,617,705,211,331,001,900,
163,919,417,008,976,217,010,149,111,712,451,310,637,199,667,474,717,396,841,
775,181,024,481,614,865,451,500,981,422,732,098,947,282,012,734,676,726,468,
508,901,461,937,481,766,271,886,535,921,506,361,549,423,096,413,939,866,668,
729,893,316,773,474,641,680,662,961,154,426,222,500,800,463,271,485,684,490,
406,000,283,080,241,927,012,985,988,082,949,885,781,375,357,095,806,778,617,
579,209,938,825,266,611,304,872,255,323,785,491,865,722,972,128,991,304,644,
307,199,973,658,320,158,038,197,713,121,743,059,400,370,443,545,181,835,553,
524,519,569,790,620,192,443,878,686,370,117,408,871,185,207,412,058,433,699,
587,797,849,572,168,817,484,122,946,707,072,615,661,669,874,422,083,101,617,
824,506,302,662,270,470,819,773,205,849,398,768,288,255,464,543,066,692,673,
617,716,776,750,116,200,336,326,065,993,586,006,374,096,914,198,746,230,065,
718,716,197,300,936,944,685,258,048,154,406,906,392,692,049,919,300,381,038,
865,486,154,792,623,760,435,077,577,291,614,003,428,968,855,527,527,227,810,
925,867,947,927,316,039,800,409,671,462,266,277,827,872,230,230,319,436,750,
827,545,962,769,571,205,468,211,844,780,119,755,688,452,695,864,913,798,818,
309,012,849,347,224,154,021,768,047,083,222,785,209,530,135,131,132,751,842,
235,964,605,723,433,633,743,192,354,723,574,051,039,793,083,504,559,583,281,
251,916,687,854,524,316,623,983,444,605,273,473,506,943,169,422,669,436,448,
967,017,852,818,348,877,000,950,797,531,464,377,392,191,670,168,370,972,722,
514,177,475,829,349,585,070,718,558,010,192,478,122,855,664,391,886,660,207,
048,451,823,105,268,215,619,403,379,287,925,409,025,794,414,538,104,296,321,
343,236,542,481,033,536,260,905,653,975,882,946,838,793,272,532,781,484,937,
794,256,073,125,069,352,672,954,715,586,294,079,624,244,533,307,892,431,347,
177,535,391,593,267,586,068,909,343,408,037,573,261,462,214,359,410,861,141,
557,768,018,692,813,801,481,588,715,585,104,707,840,097,528,384,371,736,926,
223,371,830,831,908,972,207,814,145,729,103,096,030,591,594,964,637,465,568,
758,222,184,591,912,260,905,211,588,850,745,045,493,012,728,000,708,686,675,
597,226,987,572,820,111,165,918,279,281,237,896,097,175,008,769,875,771,046,
993,238,005,960,365,392,902,886,941,294,742,558,558,262,464,572,215,967,744,
198,092,927,074,369,407,534,624,706,490,165,402,391,862,193,351,216,704,939,
649,450,654,162,216,777,012,011,637,317,305,198,457,710,812,239,605,498,620,
169,161,403,956,803,783,825,204,887,207,376,752,144,323,605,138,429,154,697,
554,533,894,783,503,487,477,837,939,451,931,561,816,024,134,268,250,865,825,
642,652,476,667,133,334,692,962,156,434,792,234,967,837,154,151,033,159,207,
168,885,454,153,305,300,415,781,701,617,495,628,314,519,112,268,761,659,446,
486,184,204,295,911,260,953,249,586,531,979,743,199,301,538,524,690,801,556,
262,428,802,539,286,609,074,958,364,016,743,046,157,943,727,290,419,197,011,
597,867,659,634,472,687,110,110,932,877,078,470,074,445,269,021,896,408,968,
756,592,646,808,857,470,725,837,378,609,120,982,316,046,811,112,186,887,272,
610,525,219,087,888,140,018,928,502,137,875,505,454,148,510,118,982,442,238,
061,642,672,736,556,956,791,569,142,329,131,728,634,483,126,288,216,052,516,
224,884,543,304,342,669,792,659,202,162,853,363,848,924,554,323,888,513,643,
995,073,915,611,779,168,731,802,669,229,149,633,735,055,558,680,800,057,960,
461,623,490,708,232,389,021,281,195,419,047,468,131,100,829,124,872,225,106,
191,111,224,376,121,722,862,804,122,730,322,498,587,628,766,198,372,283,839,
799,311,367,623,870,737,200,907,920,825,992,488,323,259,903,503,680,576,374,
048,590,873,302,283,113,124,539,041,911,500,804,900,440,955,877,585,888,380,
235,707,710,068,859,107,031,076,998,190,718,441,500,824,716,234,054,342,967,
926,867,502,293,471,265,358,883,129,022,744,345,425,525,264,948,600,684,477,
305,443,315,240,185,009,645,470,591,242,989,673,282,589,715,669,912,329,589,
385,366,947,574,769,496,415,820,698,905,935,043,275,501,840,335,236,082,873,
107,863,969,820,910,600,955,350,598,090,618,634,291,574,869,902,749,457,467,
191,902,985,317,485,634,580,080,331,293,720,159,297,417,860,900,522,579,128,
583,416,378,134,717,729,054,370,692,947,863,081,262,385,045,204,085,344,099,
180,280,102,467,054,254,134,296,251,677,021,488,812,399,420,290,609,321,032,
658,610,387,818,090,074,076,404,333,492,340,549,589,800,653,785,935,586,450,
479,328,898,749,513,786,314,769,548,231,706,770,415,239,295,474,858,548,048,
623,483,863,532,733,043,488,305,168,632,847,340,033,640,551,703,849,968,960,
104,150,978,169,277,655,093,514,046,551,342,895,626,662,723,001,124,074,274,
709,412,747,462,125,412,736,938,826,945,862,226,227,145,218,916,000,045,984,
197,613,318,915,313,788,573,928,331,060,260,892,337,704,903,468,649,875,146,
205,026,218,142,072,171,069,622,081,553,416,302,213,531,542,056,121,053,473,
069,568,388,419,865,218,350,863,227,018,796,519,460,666,128,480,708,318,994,
152,094,298,521,247,545,064,261,254,452,444,946,985,627,150,202,757,652,700,
538,054,232,242,256,264,214,597,084,390,509,540,667,058,631,966,918,154,757,
494,031,214,330,171,993,451,502,273,351,814,377,340,276,837,748,771,588,822,
236,003,695,474,907,178,983,928,919,393,786,290,024,133,949,621,189,556,868,
110,381,739,466,800,795,995,492,314,710,385,545,161,972,803,336,417,782,195,
379,929,613,916,793,456,888,696,800,133,991,017,569,414,252,773,026,539,567,
424,117,592,857,213,375,475,489,340,080,781,391,491,108,070,467,081,660,671,
379,757,472,130,158,275,538,058,331,902,122,224,070,035,323,511,443,814,192,
005,062,655,725,899,085,434,406,974,898,293,612,849,211,865,256,111,690,484,
073,843,669,776,529,756,132,913,719,126,840,306,174,346,121,093,444,692,195,
504,555,868,506,274,603,339,879,564,934,455,338,523,212,053,345,604,234,493,
438,341,461,776,134,341,458,269,337,386,509,318,125,704,028,040,984,497,427,
149,441,555,435,037,591,836,849,092,376,168,251,648,628,676,931,269,383,974,
826,702,974,710,808,732,309,114,629,051,987,740,730,250,319,905,387,353,088,
235,453,548,462,057,831,843,889,853,856,364,132,616,905,292,318,574,494,368,
970,668,010,800,843,477,743,040,273,269,050,863,753,346,786,911,809,677,564,
894,436,905,826,051,154,766,613,348,596,569,443,969,165,863,298,984,172,486,
789,424,759,540,969,296,962,358,215,978,060,518,262,016,488,435,269,345,957,
684,119,431,668,025,421,395,241,588,313,615,227,093,063,828,756,857,799,609,
620,375,502,625,881,691,117,070,793,643,419,494,422,445,759,551,122,944,225,
891,575,547,580,547,837,522,106,779,220,786,551,251,022,313,972,903,227,320,
131,476,736,093,539,994,549,298,893,831,070,830,242,940,931,171,376,703,850,
576,471,411,677,178,686,458,851,887,985,891,731,819,252,285,835,158,777,263,
310,959,553,109,887,298,595,881,455,796,221,008,613,808,187,748,288,278,481,
539,097,691,816,493,086,119,178,789,054,577,901,523,639,174,125,733,153,685,
448,479,457,393,290,850,192,008,477,526,073,634,764,470,722,520,004,609,096,
934,013,053,787,716,052,279,032,035,474,599,175,124,405,686,218,289,610,031,
561,984,261,957,484,857,620,593,384,621,154,078,084,977,086,467,750,785,081,
401,274,122,413,085,638,006,229,679,036,454,072,128,142,658,195,560,019,921,
132,267,374,737,071,640,360,169,629,575,010,558,927,522,391,747,232,636,793,
938,771,886,219,216,454,577,259,906,782,713,880,685,486,797,977,845,624,324,
910,875,587,018,071,829,816,985,954,133,209,269,560,480,096,167,835,525,024,
325,798,814,783,490,839,701,895,045,051,469,205,071,625,105,685,886,864,253,
929,182,808,086,843,697,418,713,367,126,842,411,325,055,531,773,485,487,936,
839,284,349,841,940,990,594,879,905,517,695,008,646,358,473,903,638,377,866,
842,192,853,911,197,621,165,011,907,139,025,568,753,552,318,521,984,039,021,
714,381,958,482,082,318,838,463,734,553,805,597,204,012,521,977,694,483,577,
982,138,388,576,897,982,304,681,487,285,820,384,701,141,130,192,757,309,378,
288,655,695,523,957,680,677,977,246,155,032,031,913,377,407,319,052,701,046,
568,361,933,037,266,965,398,058,359,910,274,781,440,736,732,450,191,775,926,
054,142,724,749,081,753,332,653,434,383,711,737,217,241,212,009,976,730,600,
505,572,608,592,840,216,658,861,045,568,766,819,232,474,557,953,587,764,696,
165,655,808,511,167,822,584,928,777,861,279,922,618,572,867,488,757,396,738,
084,422,831,665,878,102,509,891,535,185,521,426,577,738,700,377,433,285,035,
245,864,078,225,706,359,736,708,224,004,868,605,662,754,938,230,010,792,297,
010,145,861,455,602,137,084,198,869,607,614,532,614,133,536,094,098,235,476,
343,195,444,559,667,346,313,239,552,395,656,507,796,876,639,013,604,261,045,
700,950,679,939,754,558,911,357,555,686,849,671,945,393,866,017,445,537,712,
764,388,005,260,933,101,948,256,637,973,985,161,797,956,269,472,877,265,935,
861,246,411,403,936,819,951,419,985,784,291,965,779,508,190,337,908,848,312,
349,565,162,371,710,964,159,457,636,248,884,373,514,800,468,770,101,951,270,
705,895,302,556,787,726,783,643,844,102,302,071,656,564,049,297,854,378,388,
475,056,209,395,326,873,993,957,504,347,271,330,434,504,880,523,784,093,079,
552,932,607,024,425,344,171,068,191,018,352,713,891,874,473,856,758,202,548,
135,795,931,120,652,681,735,262,454,470,026,713,751,765,149,356,629,460,955,
783,199,188,234,623,721,405,107,401,328,347,468,201,955,756,413,883,054,433,
132,647,114,105,776,776,682,222,899,138,791,571,494,321,985,680,979,846,267,
147,993,927,796,702,119,000,528,853,377,693,052,649,968,043,009,650,206,076,
258,277,444,051,932,250,952,871,138,544,448,396,581,173,475,361,076,315,159,
800,087,821,598,909,668,620,314,542,114,849,936,384,414,497,765,188,053,512,
751,431,259,268,754,063,837,508,243,690,290,360,618,558,521,326,791,057,097,
841,246,158,926,283,212,658,697,842,823,048,354,794,938,591,330,363,088,357,
245,016,673,761,500,949,931,943,583,515,999,862,539,150,287,746,896,847,676,
738,957,982,905,234,669,840,939,267,565,795,238,728,458,483,615,669,302,304,
489,481,329,444,928,035,493,595,090,719,791,934,956,393,002,591,879,965,395,
915,079,433,798,807,671,380,369,913,866,050,891,844,861,414,044,707,968,619,
024,532,865,510,005,680,342,039,260,684,604,636,557,692,477,889,777,044,985,
665,050,981,370,829,677,676,441,820,556,742,041,512,901,360,755,988,791,073,
980,257,743,784,974,537,333,487,324,685,405,224,451,111,524,647,184,720,904,
243,675,698,358,226,884,810,832,479,980,452,627,941,047,093,865,460,317,091,
420,871,773,945,611,864,326,651,337,215,371,984,081,268,224,819,260,014,592,
126,475,766,715,288,586,692,208,961,864,984,918,556,331,232,502,770,661,972,
616,002,768,884,220,047,839,832,339,375,040,984,765,827,890,165,419,675,226,
500,757,905,795,503,196,262,718,961,497,023,441,710,249,191,090,892,927,680,
684,576,853,344,494,448,962,348,995,397,983,008,924,998,209,829,832,442,491,
731,985,630,880,067,849,584,416,629,962,133,307,395,880,165,485,154,286,023,
207,851,808,134,796,108,667,634,901,198,994,625,444,736,771,581,855,837,725,
939,849,982,442,036,029,709,323,806,145,905,841,056,446,067,928,617,996,941,
740,081,995,093,739,364,588,704,832,231,681,303,785,002,953,637,289,247,245,
722,616,405,023,176,626,972,903,870,041,556,214,537,460,360,268,164,528,252,
643,548,114,222,281,801,664,602,095,716,395,554,143,710,908,300,710,232,724,
838,113,104,599,328,862,240,899,419,991,054,295,110,892,967,638,061,677,831,
354,473,173,316,450,081,223,498,822,345,259,556,151,561,014,805,553,617,479,
452,568,922,527,955,131,794,678,916,088,191,714,394,645,659,167,672,844,310,
003,186,450,820,801,299,020,879,061,209,013,706,163,872,207,694,842,192,508,
944,696,108,874,669,809,198,975,319,075,248,188,017,012,446,842,268,324,083,
045,758,178,076,111,894,871,986,093,086,601,759,326,149,525,069,351,029,383,
967,908,010,269,278,203,565,040,383,657,341,185,749,053,974,685,779,407,547,
990,722,849,632,761,977,720,576,764,267,497,775,930,453,495,452,328,925,405,
835,317,520,752,401,486,560,969,093,428,867,196,158,669,947,610,512,627,470,
282,849,387,200,682,454,612,054,133,537,554,615,008,286,008,798,257,132,576,
676,091,254,039,920,646,337,852,163,679,667,976,606,026,186,052,595,037,445,
531,573,807,740,470,339,959,119,651,264,978,662,462,439,381,550,102,211,560,
452,803,151,007,296,820,412,572,149,635,838,655,733,136,217,281,210,521,901,
446,529,872,384,654,548,571,071,467,953,308,571,150,696,243,011,997,946,517,
871,608,370,841,024,573,471,102,673,985,430,987,971,839,330,038,618,798,408,
467,256,122,439,642,124,527,280,307,537,610,398,977,286,592,441,871,376,911,
516,315,812,159,948,322,455,845,226,318,861,055,264,123,263,103,552,754,895,
692,579,999,333,472,367,647,006,433,762,933,438,421,283,551,840,867,291,341,
888,084,497,089,567,008,075,277,341,070,224,871,588,357,898,524,964,175,146,
050,087,438,368,085,100,539,005,732,757,785,622,790,915,738,365,508,336,851,
170,729,987,194,745,050,872,397,199,031,728,080,825,046,983,695,200,634,726,
643,748,544,882,142,547,067,470,849,828,631,842,224,545,755,707,911,950,897,
431,581,504,883,219,762,691,399,023,995,809,205,820,194,907,977,917,810,452,
941,512,321,516,628,610,876,267,139,640,667,025,765,074,206,199,788,563,052,
443,083,230,288,891,597,079,039,557,111,217,996,221,414,987,606,938,652,228,
578,205,818,016,991,057,962,114,358,243,701,419,153,868,408,847,041,412,275,
090,855,206,240,256,317,591,740,046,498,688,158,844,308,775,769,898,394,409,
028,299,692,793,411,181,978,064,317,157,743,892,146,488,715,426,056,087,443,
150,476,154,295,542,030,607,058,871,325,507,549,118,987,215,516,052,408,194,
082,554,985,275,211,273,723,038,648,777,520,643,440,199,569,468,029,513,429,
707,411,102,648,874,431,592,908,344,963,156,751,554,331,129,222,171,776,445,
015,946,501,145,274,180,112,085,840,988,312,077,048,830,255,822,350,441,715,
192,748,706,895,666,395,104,041,045,068,786,628,550,702,244,543,532,502,046,
122,484,922,168,350,635,736,871,563,170,267,207,935,263,700,589,154,128,937,
407,989,455,393,817,651,233,940,503,479,965,521,352,643,073,689,613,264,817,
820,386,272,214,791,405,968,412,845,589,758,924,041,529,115,518,550,810,623,
035,262,499,616,784,056,713,840,812,421,776,017,653,060,562,495,357,052,437,
042,363,861,784,597,219,069,840,522,801,123,053,712,986,677,625,745,659,443,
219,589,869,025,793,782,722,989,249,178,319,615,761,113,486,936,136,483,354,
426,305,651,470,763,293,192,621,694,352,993,479,332,476,775,964,093,187,027,
093,053,616,713,974,438,317,928,672,629,501,122,646,184,104,113,053,602,542,
562,042,209,926,605,912,722,958,362,356,642,475,960,709,045,987,644,049,780,
699,080,276,549,088,827,347,416,822,438,400,048,060,186,163,408,659,729,011,
283,644,722,819,156,954,253,126,075,044,130,295,794,788,443,409,555,809,439,
784,223,932,007,300,163,637,124,410,190,145,331,151,791,958,034,388,188,370,
626,510,105,700,205,784,721,360,989,305,654,521,835,566,489,804,679,099,305,
881,342,860,102,941,944,413,061,723,223,980,876,312,475,689,909,984,470,651,
495,191,689,861,408,120,777,786,857,981,438,757,693,255,298,372,101,975,497,
065,017,194,945,685,978,289,332,847,589,297,046,103,760,743,929,564,707,417,
770,472,108,662,192,257,600,353,897,409,522,483,181,595,572,779,816,559,557,
936,415,802,890,089,374,452,539,326,184,980,881,579,261,024,994,856,766,391,
958,442,163,691,033,201,928,222,692,384,224,223,331,133,696,092,144,759,314,
003,573,528,840,380,861,145,446,386,437,516,559,097,218,006,390,454,851,490,
161,782,580,823,752,716,204,596,688,868,354,569,277,353,939,163,599,324,578,
939,495,663,494,246,995,117,412,727,531,383,480,629,997,025,572,963,432,233,
737,255,861,154,515,716,534,178,469,228,380,153,659,442,977,458,496,172,176,
586,273,330,123,063,703,198,979,492,685,998,982,535,336,338,682,083,579,343,
551,260,468,052,785,360,449,602,510,870,953,196,466,646,794,216,734,922,220,
007,381,065,595,512,013,538,470,130,637,341,063,690,213,131,467,171,032,296,
568,769,695,439,256,835,221,090,693,935,299,918,358,211,826,426,698,393,591,
734,599,716,811,687,509,711,057,756,082,831,832,612,552,835,646,648,936,966,
827,014,867,435,964,642,812,458,095,224,652,715,152,464,985,028,148,626,941,
179,831,990,746,135,540,322,264,347,894,314,117,387,335,287,386,746,736,961,
524,138,748,662,890,518,652,923,449,346,125,671,500,394,638,640,467,540,033,
635,799,666,113,324,989,981,517,535,816,055,138,301,013,609,320,410,094,828,
913,033,684,730,651,195,724,403,297,213,367,780,879,146,600,242,314,488,270,
115,394,716,170,253,758,972,594,877,363,229,101,751,703,242,576,847,459,828,
793,371,606,704,700,525,680,797,321,995,447,624,405,184,035,826,487,372,890,
141,625,152,911,614,642,872,024,256,227,569,799,225,234,525,453,816,927,481,
470,906,156,524,777,080,329,854,139,519,230,805,869,993,222,212,430,783,832,
015,912,106,538,291,600,545,149,939,424,806,201,716,007,598,627,320,395,981,
220,536,874,894,531,914,095,346,157,211,841,607,059,954,505,283,693,739,335,
947,196,327,632,738,681,497,650,965,944,043,632,868,811,226,205,323,802,339,
978,630,610,162,069,673,730,067,898,505,798,955,784,501,959,226,283,725,953,
994,711,699,605,983,927,186,301,188,642,701,072,535,928,995,945,190,814,463,
907,611,073,269,950,458,920,687,787,187,442,571,009,133,908,950,122,881,046,
410,778,139,862,933,074,773,943,693,906,924,963,776,398,158,983,315,377,089,
193,380,040,091,827,423,147,138,971,334,955,778,743,071,714,115,566,512,972,
555,030,376,666,159,460,127,982,607,737,484,091,381,950,765,253,815,267,177,
472,986,493,324,766,391,917,430,429,676,107,298,195,787,013,666,569,934,026,
312,002,848,217,000,140,112,789,235,089,768,726,925,765,846,404,591,300,238,
422,349,069,832,883,404,899,233,773,163,708,839,427,998,510,026,323,687,011,
784,517,140,344,414,653,727,174,172,144,577,163,240,905,490,003,671,087,328,
325,140,532,666,199,248,670,759,782,181,086,804,927,444,574,302,138,894,535,
718,276,995,039,724,326,746,277,647,544,322,413,821,286,546,685,171,563,695,
029,787,771,840,608,494,030,430,751,486,160,458,623,711,188,332,983,141,159,
676,213,121,409,370,169,461,085,345,705,811,590,363,523,655,461,051,697,340,
075,634,415,727,738,633,698,591,495,013,027,384,089,333,882,314,576,709,842,
086,215,640,915,618,809,485,646,056,780,505,088,428,852,746,634,831,865,273,
755,545,500,156,567,524,522,949,932,513,495,323,400,573,169,670,835,556,477,
946,822,495,815,395,471,326,243,611,819,988,367,093,251,425,308,216,047,716,
875,865,487,518,019,119,810,077,540,177,021,924,131,849,587,776,574,492,368,
371,430,254,938,536,273,604,943,202,405,632,242,700,070,070,359,442,727,572,
237,231,197,860,637,376,041,070,799,069,451,136,585,535,990,209,550,089,469,
862,454,314,934,393,693,516,249,019,271,857,976,349,739,460,680,774,917,817,
826,790,886,401,502,557,100,303,761,279,632,507,801,175,321,736,551,208,024,
748,786,408,861,351,515,043,985,398,330,658,159,920,477,358,644,471,938,338,
537,403,766,175,696,985,007,160,695,946,065,709,426,282,998,042,150,455,791,
422,169,619,967,761,019,320,192,843,716,620,758,082,421,724,375,324,176,960,
094,884,876,448,892,527,997,331,646,763,207,807,744,597,410,346,219,543,650,
804,645,493,280,149,614,630,583,124,874,867,368,052,054,845,036,995,726,775,
173,391,610,613,168,775,219,056,386,514,635,332,685,182,841,705,636,612,770,
138,714,958,078,548,887,078,001,619,902,005,520,055,274,341,099,964,134,567,
678,664,475,779,062,900,015,224,809,965,772,745,935,133,214,470,581,176,531,
289,942,935,834,258,022,015,633,753,706,809,522,553,705,041,500,133,207,239,
606,257,564,388,078,632,996,612,251,052,498,520,252,282,362,384,118,796,551,
309,352,188,372,715,816,191,643,943,664,086,608,487,646,422,073,069,960,675,
378,726,586,026,005,057,906,773,845,061,146,978,216,234,897,596,540,569,575,
967,421,867,523,100,449,027,062,141,434,466,567,403,185,479,499,768,564,075,
566,632,712,996,210,849,124,647,332,551,641,274,058,524,326,320,458,861,788,
952,864,508,698,815,242,301,265,845,813,412,781,518,529,226,962,242,361,904,
214,600,210,143,537,649,070,689,406,299,060,049,171,750,716,914,358,085,448,
735,050,289,977,705,598,285,996,684,388,533,709,049,374,509,065,704,383,041,
894,342,227,915,930,296,780,595,515,036,561,157,552,831,003,868,588,509,394,
535,556,030,027,637,420,717,733,911,731,149,768,945,290,800,823,546,765,020,
385,893,020,189,092,512,451,885,064,694,498,790,381,797,556,170,630,834,896,
516,432,436,768,835,137,358,970,948,012,647,698,095,965,923,200,010,245,404,
619,907,742,552,153,345,814,578,612,042,293,719,145,278,620,170,275,444,747,
594,351,955,216,450,731,480,125,094,206,901,647,373,250,883,824,968,619,839,
275,875,372,756,229,354,469,183,741,125,170,583,263,736,242,943,931,258,528,
636,237,842,492,800,778,813,758,559,405,561,367,022,005,524,636,368,459,741,
056,272,450,692,666,328,765,345,163,182,866,975,022,373,432,880,418,902,414,
650,437,711,232,285,379,837,948,780,595,483,051,929,856,221,296,304,736,987,
046,617,317,059,036,952,665,451,517,653,583,878,611,291,486,903,497,519,189,
567,530,100,556,396,029,874,657,053,328,872,939,864,926,528,944,690,102,442,
310,712,292,387,003,966,536,704,349,424,249,251,017,132,126,976,815,448,430,
902,116,996,217,255,546,447,494,099,129,727,499,210,420,310,136,770,278,394,
902,910,746,529,451,164,926,396,095,737,186,990,093,393,419,099,521,260,877,
765,141,578,175,336,025,682,917,913,434,601,933,059,201,771,403,821,135,846,
477,783,411,099,811,462,004,241,470,896,728,425,115,757,283,374,068,129,785,
029,861,917,768,725,109,836,002,002,609,803,824,002,610,033,239,969,731,822,
500,808,922,242,519,514,834,417,742,999,840,337,277,836,757,032,936,281,568,
266,487,632,881,317,927,596,015,108,031,012,182,242,858,787,000,787,782,397,
021,171,320,845,144,474,229,033,932,303,115,877,354,616,855,157,816,119,840,
714,113,911,952,140,984,860,730,196,494,077,561,207,462,296,619,628,049,766,
053,988,122,614,542,229,253,672,906,947,111,846,248,921,089,893,681,461,399,
224,883,822,719,944,767,774,763,167,479,473,782,187,335,379,476,183,926,634,
923,191,885,748,460,260,676,733,237,852,096,974,135,326,559,169,909,429,224,
406,684,654,456,777,911,368,876,150,919,930,595,911,810,233,932,449,501,419,
037,050,101,793,030,792,003,347,151,222,536,545,245,772,544,518,812,980,306,
604,953,003,738,097,839,632,828,594,938,257,971,065,285,638,674,383,662,204,
136,965,597,948,833,492,900,908,492,783,256,445,781,767,903,499,329,959,690,
215,960,901,923,123,592,955,159,781,907,945,090,240,975,889,698,602,603,278,
517,323,595,028,164,343,241,521,798,570,188,571,133,979,844,829,908,764,732,
782,542,710,203,590,093,255,951,801,331,091,288,206,523,578,735,823,486,294,
569,268,329,625,812,894,810,359,024,002,417,777,320,476,697,778,777,569,490,
843,905,379,370,459,706,326,935,607,541,768,290,085,506,735,868,630,436,639,
514,608,310,592,526,245,494,310,376,777,423,705,986,807,963,070,478,224,223,
981,763,561,163,119,244,671,455,336,129,785,749,506,407,909,578,904,850,573,
190,610,869,653,768,413,890,175,616,857,311,347,946,354,479,742,099,883,741,
095,651,369,466,252,131,377,538,074,772,475,570,652,063,753,293,146,277,515,
586,026,177,179,484,683,554,744,699,119,300,187,624,663,502,314,037,839,653,
071,886,701,271,770,512,285,468,180,737,218,412,649,661,165,492,353,195,227,
904,431,273,877,911,953,401,083,074,034,616,634,483,701,116,395,770,448,822,
449,427,135,219,279,563,073,711,564,409,970,962,509,940,813,556,754,273,204,
032,453,785,959,942,465,412,956,316,471,802,900,110,691,337,932,686,248,227,
449,794,648,006,635,636,456,002,924,580,716,471,912,402,483,556,926,131,048,
649,355,578,757,812,864,303,004,406,351,316,754,477,893,956,662,142,606,179,
111,546,116,901,375,525,493,835,361,265,623,073,720,357,375,810,849,819,942,
918,243,164,183,410,182,079,157,086,159,192,849,176,162,082,426,279,231,977,
003,394,103,309,537,750,706,234,636,053,086,485,789,680,364,527,189,183,842,
176,811,991,754,854,602,657,108,014,616,091,396,663,235,620,808,058,140,738,
245,276,817,748,761,463,514,585,142,737,600,419,100,489,229,670,677,216,558,
640,366,494,728,354,343,263,814,100,452,957,599,759,874,949,893,220,510,281,
176,615,203,755,291,101,317,648,736,824,932,416,008,478,408,718,369,131,043,
708,927,673,047,513,663,967,667,664,544,459,898,245,010,766,775,113,434,335,
841,881,767,274,701,455,587,368,957,718,008,318,268,407,143,911,744,671,272,
592,415,204,872,156,867,657,142,712,401,292,341,589,142,557,995,585,280,286,
491,837,506,645,289,815,188,882,547,145,561,731,643,772,582,905,549,801,789,
992,040,070,444,070,448,753,146,842,203,898,521,116,365,042,963,005,214,016,
054,371,556,039,859,195,480,770,642,584,823,554,619,568,287,941,087,674,431,
698,189,106,726,357,041,426,612,556,702,497,726,637,489,432,681,283,752,404,
022,206,451,997,317,186,850,512,469,082,834,693,821,119,478,815,020,429,323,
625,396,250,910,335,921,250,625,492,760,176,594,709,927,386,102,844,759,148,
154,214,556,933,332,921,701,997,075,964,900,446,292,832,408,995,660,519,016,
952,175,309,029,850,405,324,939,124,604,548,879,647,953,360,533,971,244,592,
199,582,156,051,790,379,556,112,776,771,684,379,899,790,246,905,819,892,136,
750,200,062,637,092,897,340,001,782,168,949,485,854,985,417,785,249,974,178,
361,652,615,770,679,893,937,122,867,363,404,581,748,740,840,950,821,278,079,
452,473,414,864,471,134,193,236,836,998,360,267,268,235,334,461,923,486,145,
642,761,667,466,233,252,619,082,214,096,777,978,496,351,830,058,430,746,526,
615,555,695,691,755,421,310,258,029,819,586,585,363,064,877,298,887,059,827,
109,326,298,829,481,079,360,019,676,065,096,884,987,668,711,092,998,080,977,
703,579,714,756,064,766,650,565,605,125,873,875,901,913,410,137,600,259,558,
071,551,901,430,952,223,798,416,923,924,635,625,040,523,921,820,970,511,912,
916,352,206,448,540,906,537,204,869,940,854,311,820,662,267,383,789,724,599,
884,288,235,125,021,243,604,746,411,158,682,285,204,150,328,931,598,066,602,
356,544,010,521,698,043,601,209,494,770,350,319,964,786,271,939,514,001,679,
526,572,714,619,296,680,342,126,420,952,397,531,378,258,407,009,742,902,889,
110,714,121,022,425,368,691,047,826,848,693,455,703,440,806,202,644,126,436,
089,717,415,528,279,928,376,284,665,391,394,768,859,745,567,667,727,960,576,
585,162,010,907,725,332,872,959,702,227,911,448,490,361,305,845,484,014,842,
731,207,810,342,439,650,710,965,615,441,742,648,356,267,702,031,077,395,667,
124,261,719,704,451,618,386,724,277,424,698,119,579,598,639,537,114,901,610,
941,882,100,211,710,173,175,013,309,249,003,460,122,591,114,534,036,534,979,
882,854,835,126,284,114,044,105,634,220,269,250,478,277,841,745,349,457,549,
915,145,131,088,034,560,304,849,054,483,067,192,110,776,378,032,269,462,085,
666,695,605,165,620,819,506,760,235,399,989,346,182,261,761,437,651,950,382,
103,164,587,579,821,986,065,462,916,783,350,880,288,479,947,559,481,801,476,
768,076,578,256,150,584,714,913,197,330,431,647,992,086,288,929,064,068,737,
078,071,332,036,792,590,770,662,986,777,316,758,323,357,373,232,992,258,896,
365,784,098,543,214,647,522,904,277,276,526,475,844,379,851,922,266,751,643,
442,570,130,858,854,788,117,706,165,512,119,539,291,350,272,805,393,181,366,
392,732,068,207,507,689,710,119,652,101,269,884,601,287,935,549,033,795,813,
986,776,424,107,388,195,552,379,915,641,913,771,877,037,138,968,559,718,588,
511,110,189,686,914,927,855,937,492,506,470,011,633,752,833,115,486,594,598,
870,363,065,398,172,341,797,442,654,330,554,624,486,370,005,745,647,762,504,
340,925,439,752,024,339,925,875,141,818,701,150,425,828,744,432,972,548,004,
242,588,826,973,860,162,487,753,604,601,831,378,164,806,553,638,609,139,699,
949,140,593,837,070,185,540,954,208,256,671,093,835,327,579,202,542,053,741,
621,467,616,834,987,090,784,412,235,885,729,606,138,364,871,872,495,854,269,
646,270,754,156,822,741,974,655,644,894,169,347,299,482,802,515,986,014,161,
148,918,855,081,579,437,667,743,827,299,526,140,959,680,869,784,754,292,091,
512,762,325,546,703,705,020,661,751,981,484,613,571,879,461,543,571,784,688,
922,866,835,144,481,050,653,276,995,181,484,279,595,293,468,111,929,956,212,
791,582,089,740,323,552,651,841,119,570,006,418,885,365,511,482,750,694,255,
884,793,702,357,212,908,087,826,710,044,353,565,237,965,315,494,199,485,163,
928,424,038,030,430,960,770,465,644,831,460,881,015,609,758,095,640,870,413,
569,687,454,878,832,602,478,958,339,324,168,862,386,051,981,859,318,508,517,
825,298,892,273,558,962,571,392,650,535,963,387,557,584,669,849,070,115,856,
980,853,589,699,988,969,719,507,686,527,744,971,284,769,330,719,043,725,085,
211,383,401,976,912,120,976,085,592,410,399,819,084,769,151,613,340,936,305,
884,853,128,061,386,183,949,554,058,393,338,983,950,501,499,701,777,909,336,
279,625,579,779,304,141,662,484,434,849,499,660,325,441,357,743,903,973,672,
712,193,066,769,831,134,338,293,344,736,910,258,523,798,411,821,471,990,865,
563,147,814,338,506,175,923,098,513,820,860,043,524,326,632,505,909,081,719,
169,867,425,023,035,067,492,259,898,540,754,650,966,116,196,883,088,994,537,
941,028,127,319,301,166,153,462,243,625,354,265,682,422,234,968,439,658,454,
821,111,624,172,649,472,126,088,896,564,722,883,192,581,424,446,859,871,425,
560,852,152,765,857,218,574,513,504,363,781,939,551,817,633,190,592,762,018,
109,074,443,479,534,823,395,709,025,800,511,415,490,898,660,022,088,094,901,
711,011,563,691,569,470,952,629,699,566,594,357,617,856,776,117,013,988,721,
061,841,931,788,963,276,703,582,319,947,437,277,840,970,089,575,279,411,551,
615,498,876,152,030,640,755,740,222,474,374,137,400,187,612,820,543,897,783,
646,951,857,059,683,244,584,783,067,351,494,579,601,680,683,323,803,826,274,
275,571,782,206,996,233,178,103,005,560,705,383,005,984,844,362,587,614,549,
133,857,373,192,172,946,550,398,252,793,690,243,281,038,159,667,774,664,893,
711,856,619,396,261,128,811,271,452,164,074,976,508,540,478,238,030,433,439,
775,269,134,345,517,734,665,418,759,713,624,044,350,777,295,940,127,453,597,
669,753,697,928,105,060,182,308,277,184,723,179,788,312,121,797,441,161,626,
202,961,477,335,575,299,573,247,121,689,455,370,010,453,445,250,718,313,967,
206,425,073,651,204,993,648,554,372,502,876,348,787,156,127,828,920,172,251,
941,526,613,724,187,043,828,770,857,725,649,134,753,661,504,627,533,616,320,
720,109,232,088,246,185,974,379,133,443,408,098,151,375,207,392,245,677,622,
006,106,335,383,913,610,896,366,061,992,400,936,968,738,733,976,604,137,276,
352,203,340,443,510,911,450,672,246,665,813,256,171,538,448,792,148,466,345,
726,805,804,009,413,485,132,267,701,453,115,341,812,958,097,897,886,705,753,
228,683,733,594,477,459,212,067,870,998,830,426,696,403,161,785,750,169,513,
149,371,518,046,553,229,138,185,348,707,199,889,266,320,200,669,671,004,876,
225,095,118,734,206,547,284,540,812,890,537,500,319,602,521,362,293,649,905,
008,341,161,303,962,440,994,682,535,969,853,989,110,048,505,594,035,250,769,
518,745,024,769,803,239,764,291,608,223,458,763,676,836,576,950,316,909,616,
551,108,972,344,311,135,316,651,243,800,188,259,976,014,918,444,120,702,691,
897,841,950,579,065,196,136,944,394,188,899,249,485,385,212,447,554,050,696,
608,883,987,154,614,740,175,355,203,147,920,341,121,508,850,109,961,711,211,
563,392,445,009,988,333,809,536,184,952,267,382,673,155,809,535,626,140,085,
374,635,219,662,325,670,971,638,457,448,644,124,476,224,966,708,355,735,121,
253,865,575,186,801,155,668,871,401,724,879,832,660,452,974,316,189,790,466,
156,372,646,784,088,884,975,900,945,588,688,784,049,734,240,436,427,259,576,
221,803,362,090,457,906,648,648,865,985,376,671,582,506,282,775,895,946,203,
563,406,003,466,994,070,413,305,558,401,948,274,452,449,081,775,720,103,256,
858,954,942,547,332,697,760,931,576,617,285,097,955,161,524,569,178,099,420,
788,889,683,756,738,432,673,978,116,675,914,910,296,921,582,582,019,010,287,
201,896,326,133,818,718,506,372,667,141,298,665,566,818,133,385,420,621,586,
096,976,144,292,879,178,327,386,996,029,034,766,281,209,602,602,439,783,023,
324,515,275,352,145,764,202,861,265,556,776,853,998,022,673,409,269,743,285,
505,357,079,144,039,432,378,591,459,107,050,544,585,522,323,766,551,044,041,
472,169,512,768,096,504,130,172,078,411,418,222,102,552,920,884,063,190,800,
478,910,734,398,475,022,902,328,105,920,683,891,579,945,174,943,456,542,716,
404,760,745,352,081,526,096,039,198,221,406,339,273,270,017,991,663,823,115,
106,570,723,811,008,824,583,622,805,088,349,090,372,368,370,237,622,082,443,
701,294,545,831,812,699,799,508,432,307,210,599,610,482,427,972,888,364,655,
278,796,894,373,921,377,643,651,097,155,411,101,457,207,084,033,542,577,748,
352,113,379,998,073,592,390,803,783,461,634,506,958,011,879,447,822,612,748,
811,212,542,395,492,337,671,817,576,996,520,169,923,798,430,783,062,422,161,
690,605,501,706,145,180,393,864,697,771,939,880,834,588,005,034,758,728,897,
186,519,069,775,603,100,476,582,222,743,439,546,126,120,880,761,790,970,360,
939,588,500,047,810,985,540,163,150,417,982,696,471,869,514,311,587,586,180,
044,378,853,226,535,649,992,699,877,247,573,481,002,610,713,138,990,144,215,
553,138,473,568,025,897,852,120,467,374,515,822,117,036,958,027,527,876,671,
274,690,959,621,742,684,013,825,104,164,203,397,429,999,981,222,658,218,973,
893,611,706,256,141,864,449,146,341,277,530,607,713,248,801,794,593,392,306,
327,333,100,453,482,021,109,222,058,663,200,330,042,816,824,357,148,049,011,
277,902,999,226,024,912,975,949,407,887,269,217,610,550,350,304,748,735,421,
055,073,350,042,180,845,197,245,442,856,515,619,023,721,132,016,115,154,560,
812,027,149,042,463,379,623,040,967,682,698,866,477,634,162,260,664,511,488,
909,731,631,907,499,060,415,528,054,715,556,074,704,115,878,554,514,378,508,
862,797,251,737,331,478,548,060,214,222,333,305,178,462,519,561,386,340,359,
529,808,303,728,269,898,516,213,147,746,030,133,604,517,848,553,586,133,657,
067,459,145,244,866,550,955,294,639,332,323,341,048,739,631,508,418,503,791,
265,136,210,025,885,705,310,674,440,160,645,246,883,729,970,356,494,444,865,
105,145,661,931,746,215,532,988,711,111,348,082,350,646,542,550,069,147,998,
376,283,527,621,549,571,757,763,587,605,442,308,710,207,925,226,720,336,322,
322,183,023,557,663,664,002,355,939,003,487,534,770,526,461,671,252,679,134,
839,768,719,912,698,730,351,204,434,678,655,683,834,034,480,592,044,678,343,
210,755,725,320,567,920,027,067,674,680,112,857,962,391,994,721,429,777,504,
056,244,884,998,420,106,008,940,981,849,009,706,189,580,544,124,220,276,642,
072,354,563,233,134,870,876,487,648,036,865,739,974,165,054,401,593,178,742,
757,698,457,472,144,820,313,065,886,640,310,147,315,008,852,603,066,530,409,
161,584,496,184,234,706,529,632,802,994,601,510,129,124,084,302,338,480,854,
968,943,693,999,034,762,094,291,482,481,191,013,251,907,724,454,748,724,923,
828,535,281,000,576,881,079,984,388,593,903,171,151,630,688,938,832,274,502,
440,388,901,652,394,151,364,931,452,338,004,907,187,589,634,996,879,396,960,
491,291,530,854,932,345,909,103,287,174,924,506,062,441,789,479,354,232,752,
713,294,599,261,971,212,070,386,217,372,420,802,261,219,012,703,641,298,851,
771,493,514,527,303,296,034,804,819,703,722,555,510,067,694,377,744,216,302,
325,614,617,716,482,021,682,102,357,138,268,283,178,074,767,245,911,224,868,
084,167,549,765,441,446,471,384,067,773,296,124,012,117,888,370,968,849,010,
067,986,898,979,449,770,670,981,157,221,745,118,994,771,225,497,467,236,091,
476,044,337,989,615,522,969,391,748,564,107,855,401,046,259,751,014,503,707,
934,922,054,160,468,990,329,526,252,645,252,047,383,377,814,208,408,608,651,
942,497,494,388,973,770,710,608,659,258,831,384,145,821,251,513,750,646,214,
403,845,534,560,497,229,636,744,968,390,088,722,955,414,205,750,677,933,835,
975,533,575,452,596,081,980,146,862,963,901,097,470,864,639,680,396,456,574,
569,568,570,032,216,406,649,603,346,372,444,963,880,047,187,488,282,569,494,
885,743,972,947,355,537,268,567,914,248,791,097,886,919,733,257,060,626,955,
048,750,501,258,908,915,864,819,880,106,126,798,080,511,923,545,296,987,509,
705,447,240,060,019,020,375,768,631,592,571,394,157,032,318,041,200,768,694,
272,323,610,409,560,279,567,344,117,693,600,247,380,468,903,259,932,426,299,
154,360,231,985,903,971,201,931,619,213,203,819,138,344,539,412,681,114,358,
549,036,998,114,087,598,094,801,939,533,965,569,218,132,408,181,360,835,253,
251,255,118,810,887,259,029,354,886,528,744,349,079,287,002,824,500,041,610,
047,382,466,372,883,730,295,323,399,671,633,709,952,704,332,093,245,856,953,
734,064,300,375,039,455,821,346,917,439,469,370,293,584,160,105,245,857,314,
500,749,158,689,804,688,555,258,582,350,584,483,248,504,044,848,777,130,479,
214,040,391,494,313,128,878,873,910,747,155,164,491,975,673,515,016,659,947,
375,825,790,888,591,664,942,444,863,966,319,451,926,676,531,025,832,240,146,
849,870,013,108,082,372,478,758,549,679,161,105,908,664,765,741,697,131,136,
116,415,702,618,090,503,280,859,641,038,144,627,488,918,741,670,446,632,310,
839,364,818,014,310,708,259,465,430,983,912,167,832,872,897,463,531,763,945,
290,434,135,595,845,300,488,426,949,238,638,571,879,203,666,008,691,814,215,
529,345,957,227,029,715,986,001,532,018,097,680,054,327,303,354,627,823,564,
570,988,682,502,925,506,443,763,697,066,141,877,495,744,487,470,749,762,503,
517,763,339,359,740,528,859,176,194,580,271,244,424,069,075,329,155,066,749,
723,581,240,311,467,359,798,675,786,638,113,246,301,661,261,271,379,479,217,
673,042,477,069,578,651,869,769,216,545,770,641,431,286,191,135,170,706,591,
858,540,617,151,248,210,741,806,323,370,563,825,193,840,911,040,627,407,275,
339,357,505,974,186,929,008,455,942,264,512,691,438,461,789,921,648,204,296,
447,485,429,861,255,781,498,966,575,559,270,266,825,228,194,399,574,963,653,
410,320,192,086,759,165,510,103,733,376,459,301,870,324,152,505,137,502,607,
096,570,898,255,000,933,584,041,362,802,730,748,593,224,491,357,343,925,636,
010,662,873,334,257,529,714,458,736,830,102,930,618,944,785,651,173,896,683,
601,047,734,266,093,728,309,628,923,251,688,985,197,741,382,640,043,821,874,
688,459,961,981,176,905,649,558,518,804,185,421,275,354,922,308,572,691,516,
791,124,115,599,021,586,839,397,230,743,909,877,807,785,228,759,353,294,928,
465,153,047,698,259,105,503,503,937,204,093,154,788,422,015,549,020,953,221,
208,716,761,916,492,782,011,231,869,614,389,259,214,890,811,447,649,834,608,
500,414,242,758,258,836,710,938,959,119,618,196,088,642,701,210,154,807,731,
998,075,790,712,817,304,715,484,755,219,663,940,719,804,274,873,585,874,179,
689,129,690,090,954,295,710,109,017,058,156,955,102,263,631,030,378,899,998,
376,574,477,209,171,307,622,721,657,932,428,141,467,401,409,776,392,107,362,
153,988,016,906,447,808,503,106,094,396,086,441,113,442,858,153,179,880,138,
943,868,451,598,613,101,635,728,586,462,699,005,936,887,102,136,064,049,774,
758,071,160,835,649,885,223,511,612,408,510,715,083,012,483,121,296,988,749,
369,538,283,435,496,171,903,122,744,589,249,551,822,397,441,149,986,202,678,
628,433,082,978,551,590,739,896,418,669,273,361,047,105,648,572,197,714,534,
768,824,451,630,388,951,973,307,144,365,233,226,503,465,034,111,823,542,179,
706,746,624,210,787,703,610,321,191,730,408,340,617,990,970,613,197,063,970,
988,998,927,861,736,914,113,468,373,149,520,303,628,168,131,097,721,237,983,
992,668,026,635,521,233,138,855,049,499,999,250,595,518,815,747,782,598,050,
784,043,595,334,414,584,359,331,261,195,810,660,151,278,526,057,178,825,231,
511,229,971,123,159,787,477,485,876,054,811,916,127,282,883,459,438,475,591,
090,101,258,255,482,235,752,892,144,702,013,460,240,468,306,224,963,794,677,
740,455,443,405,678,125,364,757,549,362,176,307,494,716,270,942,064,655,191,
643,557,832,821,424,462,701,496,570,104,028,586,694,782,729,094,004,453,553,
032,415,295,882,069,001,934,943,381,580,599,141,696,268,903,817,712,051,198,
658,040,133,671,485,885,995,274,542,611,315,117,324,596,782,565,179,183,146,
107,013,759,504,839,849,356,786,364,198,145,030,206,502,920,376,640,597,432,
581,908,684,767,555,979,182,469,594,403,383,330,046,070,802,704,416,501,496,
701,353,070,405,173,797,843,305,044,393,901,429,154,041,413,831,361,056,190,
752,126,322,160,753,989,298,864,321,457,035,127,218,080,899,851,868,594,556,
966,099,954,025,214,934,018,274,936,187,220,604,589,333,115,263,900,954,635,
100,971,287,828,518,899,850,913,151,294,073,213,773,235,109,830,370,235,345,
374,522,383,759,214,637,942,309,337,365,005,284,960,408,614,383,234,409,550,
092,757,267,616,288,848,800,364,208,317,267,250,017,548,327,269,328,576,755,
111,267,611,989,309,478,883,593,926,667,467,438,111,657,499,419,927,913,665,
408,579,568,352,399,048,137,077,688,598,185,404,576,406,761,472,100,136,879,
712,367,834,564,027,892,930,172,130,924,655,219,421,647,773,170,415,164,569,
704,473,150,276,624,476,098,917,018,017,108,341,488,653,166,002,472,677,523,
409,141,591,297,735,793,910,770,779,464,987,787,419,698,211,800,170,689,993,
114,984,329,943,837,615,124,008,530,002,534,299,160,595,081,595,772,277,614,
959,948,481,922,851,132,101,140,844,225,369,490,061,718,898,691,962,319,822,
992,962,144,650,210,906,217,190,243,619,760,667,953,805,698,035,712,109,309,
556,599,342,064,133,162,024,301,027,323,695,538,903,235,025,823,190,176,995,
515,650,227,920,186,291,725,287,414,004,374,683,818,810,661,246,993,128,476,
842,788,845,735,116,877,301,626,313,901,985,090,991,130,595,129,309,675,402,
517,045,613,151,411,977,659,445,385,757,249,009,729,473,747,580,550,889,200,
254,881,664,751,406,061,713,593,668,377,769,529,653,098,472,207,060,360,721,
250,218,864,625,950,501,490,566,573,263,279,600,828,708,855,058,568,815,355,
831,024,762,453,177,548,157,564,037,356,177,091,119,311,045,680,990,840,313,
568,280,579,081,000,410,464,073,299,143,462,265,730,979,365,875,966,375,591,
474,094,513,112,211,733,821,728,254,738,624,969,318,625,735,325,972,980,505,
244,496,230,100,464,506,282,832,035,566,717,347,050,809,335,899,818,771,902,
835,988,433,412,529,374,127,944,463,709,051,129,707,403,855,771,356,179,036,
018,704,699,647,051,386,776,059,669,442,183,836,028,829,960,130,749,847,885,
393,820,294,246,831,873,517,771,671,415,266,213,961,183,511,469,900,679,581,
283,224,304,991,041,095,540,508,139,585,429,597,907,078,299,025,068,385,447,
023,157,538,396,268,608,493,817,097,454,427,416,942,755,929,295,569,353,666,
833,755,768,266,763,963,269,341,643,246,981,113,995,748,393,161,478,598,645,
870,453,174,016,093,150,254,771,458,928,071,876,342,510,068,775,380,822,643,
529,246,765,902,969,361,812,430,451,332,016,037,106,509,872,147,055,910,343,
676,025,104,651,037,423,176,366,730,600,514,508,732,253,596,302,657,931,644,
753,217,190,673,571,575,328,180,529,888,798,180,094,103,447,491,357,358,321,
542,911,891,384,091,480,891,502,425,793,895,192,684,146,757,614,129,515,005,
382,181,412,541,041,325,722,949,718,404,954,363,603,960,339,780,879,350,327,
586,800,550,518,239,323,525,325,369,186,504,069,715,871,391,569,989,016,254,
352,863,988,303,932,772,661,840,907,972,130,821,939,399,754,234,830,166,177,
314,718,171,224,329,547,409,328,801,475,955,586,366,991,349,032,902,757,589,
658,870,731,865,791,729,706,830,308,349,856,032,248,311,286,661,682,729,601,
154,665,781,256,195,445,898,241,834,277,528,697,972,856,022,416,365,659,310,
847,346,034,841,577,017,297,994,779,551,381,386,127,972,974,787,619,109,439,
308,946,429,393,474,127,270,186,367,269,932,630,837,197,031,992,291,839,299,
138,966,467,249,015,396,233,787,226,623,768,178,630,698,138,900,961,056,076,
484,529,410,234,890,087,704,890,485,653,960,990,506,317,419,327,249,938,779,
844,506,340,760,633,335,348,111,379,132,120,168,704,026,290,927,277,062,588,
245,080,361,566,494,987,676,269,438,483,645,342,595,855,328,212,566,713,161,
998,389,602,691,893,262,150,781,519,931,875,989,594,187,027,132,633,992,562,
362,996,189,748,057,355,902,460,677,165,014,691,933,628,785,619,990,347,442,
258,415,652,282,907,377,745,331,546,545,210,356,336,780,617,444,923,823,927,
510,444,910,325,441,930,257,669,821,337,369,493,682,570,503,408,491,710,471,
525,322,406,607,788,563,156,696,402,992,677,421,248,415,686,087,175,623,608,
118,034,453,895,862,219,600,842,280,769,971,033,446,298,726,251,688,808,956,
344,877,603,521,696,601,345,097,407,353,016,124,054,642,636,401,775,428,866,
824,750,114,968,858,714,391,716,130,258,492,693,215,310,218,118,842,571,718,
038,754,562,504,599,816,251,123,355,759,024,971,327,624,647,624,614,442,382,
862,727,560,073,410,696,109,812,624,813,339,809,414,125,115,930,603,358,410,
744,378,364,380,563,272,539,480,290,507,343,451,609,742,464,404,194,443,017,
374,913,892,400,760,082,879,327,975,750,610,290,053,407,832,798,580,650,900,
879,950,872,000,515,359,442,189,783,881,671,746,112,277,386,826,489,955,000,
173,950,838,623,370,929,767,200,308,090,308,297,604,400,383,580,508,853,472,
198,865,127,403,992,667,339,751,210,009,248,014,940,310,324,912,220,094,089,
458,056,891,709,241,633,560,350,788,136,445,192,496,229,030,976,986,596,513,
654,017,555,179,261,217,377,161,016,747,024,308,867,440,198,751,411,519,948,
581,856,692,638,623,948,774,954,340,676,467,659,786,057,473,584,152,572,138,
997,193,533,504,800,490,449,868,971,063,047,366,917,601,994,293,691,715,714,
795,504,178,675,837,980,308,344,075,199,665,864,039,222,586,098,417,047,378,
443,826,061,589,568,502,527,403,071,575,153,209,290,584,864,444,353,438,055,
925,436,822,542,266,759,283,065,846,082,541,322,762,975,521,739,320,223,630,
185,831,066,869,704,825,671,178,408,456,630,801,018,789,915,848,043,501,839,
196,799,317,053,497,869,546,343,019,245,695,659,573,447,368,239,259,933,479,
870,559,982,743,588,137,923,290,430,834,167,152,118,709,802,720,975,835,712,
294,082,604,368,510,373,624,934,525,277,026,462,728,825,037,296,506,847,149,
830,319,154,184,135,820,398,171,871,095,434,402,565,304,955,379,125,909,156,
841,010,386,521,550,346,946,085,549,711,868,243,910,855,568,098,467,480,889,
393,706,128,217,323,952,832,167,083,972,396,602,815,882,111,143,809,454,436,
332,639,169,878,721,825,802,433,644,879,327,704,191,988,996,834,450,144,865,
775,851,318,385,316,066,289,651,332,485,447,592,335,682,017,152,602,682,153,
580,621,851,012,742,860,684,537,274,041,738,008,733,480,294,135,483,285,382,
537,467,390,316,547,605,124,370,950,675,603,684,409,856,386,751,139,261,386,
665,254,456,904,494,313,178,674,763,326,776,359,420,060,280,153,890,778,982,
532,346,638,208,220,589,861,545,915,001,788,703,854,487,635,318,769,759,101,
115,307,602,362,929,869,612,054,140,117,962,448,127,783,371,885,313,985,597,
342,110,350,458,088,122,147,984,179,809,316,609,300,869,837,447,117,234,625,
948,463,176,901,453,270,720,392,924,144,780,635,735,187,437,198,460,607,859,
072,669,695,769,913,489,999,909,417,311,952,492,685,774,929,480,088,591,853,
036,184,322,334,415,489,110,465,812,014,238,810,199,694,653,863,559,652,729,
506,123,352,270,800,938,203,789,174,616,598,213,568,830,821,483,795,546,571,
059,303,154,030,909,663,016,357,926,272,382,131,878,076,465,816,658,846,239,
248,291,623,271,982,278,063,930,099,531,251,634,966,169,644,930,828,404,578,
082,443,849,288,053,203,417,380,025,081,633,618,739,342,400,329,398,412,464,
442,806,311,179,762,151,648,217,271,944,084,645,272,820,828,760,400,659,849,
214,074,160,480,643,010,669,564,680,809,545,687,177,613,034,392,537,334,859,
920,809,538,435,956,593,078,484,354,314,787,497,792,466,399,501,986,212,109,
762,279,264,783,979,936,389,162,421,699,037,728,802,491,217,409,737,576,052,
616,011,333,012,738,877,359,063,752,602,374,185,777,095,212,428,464,755,958,
235,294,368,106,383,289,884,931,045,204,801,323,736,877,099,403,233,199,594,
783,299,293,876,389,187,175,476,514,313,279,303,046,567,531,681,109,867,528,
086,354,274,782,772,646,672,629,767,333,602,497,082,936,631,560,721,122,863,
555,749,097,802,157,796,169,942,080,092,961,745,594,765,979,896,970,701,798,
280,764,507,450,390,081,626,098,635,503,641,784,452,720,425,534,132,143,091,
518,765,873,047,359,813,591,833,379,850,797,900,862,035,181,388,440,960,339,
398,932,926,115,054,271,760,965,257,242,063,443,027,924,773,967,018,865,896,
738,398,606,957,167,590,751,255,632,976,544,342,978,377,789,417,131,877,968,
487,947,034,757,419,561,591,312,616,636,279,463,810,470,458,464,160,390,845,
136,434,685,400,496,492,664,015,979,335,711,889,834,784,606,604,159,376,358,
894,490,587,041,746,406,406,842,953,120,222,489,839,874,789,732,167,041,824,
886,944,531,184,089,086,499,513,248,002,228,939,077,361,294,810,458,242,743,
918,592,557,516,298,460,112,775,694,188,125,129,353,466,636,582,580,145,000,
883,705,591,467,980,954,606,497,759,153,668,568,729,059,914,915,686,906,586,
452,782,320,340,532,155,032,251,621,133,603,736,884,400,961,848,891,069,997,
200,971,235,617,377,536,790,966,311,108,817,929,561,556,528,428,735,910,751,
274,066,850,177,003,644,758,558,318,145,663,853,400,658,388,019,257,309,946,
340,482,909,102,662,390,159,184,856,077,279,375,568,952,103,433,526,268,820,
979,028,752,653,064,851,551,290,440,294,431,890,832,649,244,141,228,944,284,
776,848,621,177,158,906,321,611,239,635,397,890,024,748,285,259,592,552,753,
654,174,018,555,330,112,487,464,192,360,942,659,837,710,303,843,715,295,213,
120,911,039,105,527,634,765,268,396,488,430,893,510,695,988,882,705,953,868,
231,931,164,694,573,218,983,607,455,855,623,400,639,883,834,475,812,205,290,
279,177,841,245,643,097,983,194,851,792,723,690,757,091,420,235,165,926,330,
864,522,317,285,836,921,645,974,757,045,450,213,946,260,668,358,376,558,285,
662,778,681,171,518,466,274,318,987,890,055,902,014,256,167,434,767,647,674,
334,941,570,527,060,480,635,460,634,211,750,843,647,092,672,709,613,908,797,
690,171,020,557,089,347,772,733,943,938,746,836,135,474,426,121,730,509,249,
408,212,819,547,654,982,133,066,951,163,794,116,959,097,289,356,096,216,792,
000,314,317,579,821,969,853,422,289,881,978,855,271,884,799,986,487,814,760,
917,507,982,720,060,335,303,597,405,246,170,761,264,472,134,223,470,998,149,
730,939,837,495,723,647,915,421,760,601,333,721,798,145,830,363,807,928,151,
680,488,486,356,709,458,701,721,246,121,143,651,070,749,796,926,742,995,339,
539,627,632,052,874,325,281,472,987,619,903,594,207,640,118,963,290,507,275,
851,966,980,379,044,865,875,461,068,735,554,133,610,697,026,034,006,288,374,
717,413,951,772,304,441,396,833,705,915,888,371,157,183,269,650,735,925,922,
682,382,482,456,765,924,100,330,625,219,899,558,095,556,703,517,987,836,071,
737,701,349,713,973,976,313,189,661,372,911,202,426,418,474,365,813,489,987,
427,310,806,731,482,860,146,494,621,562,210,832,219,667,159,164,509,863,808,
029,520,032,284,531,600,893,658,140,341,218,186,207,442,787,532,564,511,491,
449,741,229,512,253,544,099,200,670,897,587,200,619,101,600,297,798,543,345,
977,638,854,341,685,949,031,521,399,294,318,179,441,941,330,833,420,007,953,
339,552,644,200,532,837,993,227,387,814,098,675,660,608,932,734,595,162,966,
591,303,924,169,324,090,776,246,676,592,608,336,664,295,244,818,761,359,986,
264,574,090,306,499,376,495,671,796,544,238,050,542,402,862,691,993,762,090,
948,473,529,045,862,586,909,051,380,172,303,408,026,717,243,821,190,675,562,
125,066,775,449,821,917,222,026,902,150,158,854,505,677,174,485,142,699,757,
722,929,840,504,161,142,632,740,794,535,485,287,258,573,139,803,927,170,968,
126,231,249,635,751,490,467,084,863,116,252,352,063,229,190,669,834,397,798,
314,316,141,845,435,893,286,545,956,242,310,609,626,555,150,154,513,145,794,
784,046,749,612,022,150,783,120,329,568,550,858,310,643,630,509,997,629,039,
227,670,467,278,190,727,425,525,216,839,970,117,306,592,888,668,761,410,854,
143,648,288,765,179,137,453,613,040,822,920,980,687,637,074,767,112,622,777,
296,618,641,529,816,230,004,261,638,682,249,395,982,083,636,459,325,279,785,
427,311,765,812,580,002,782,833,526,863,686,580,321,053,850,284,497,099,004,
401,118,600,053,080,497,879,849,559,245,659,161,276,137,741,560,788,001,960,
586,159,571,553,654,959,574,609,434,223,746,163,530,105,275,325,716,677,158,
850,473,957,132,196,262,062,930,830,705,836,826,574,631,166,241,526,598,324,
358,245,861,588,166,113,270,125,324,931,118,981,653,922,967,856,034,044,907,
531,937,467,675,576,188,018,500,066,773,220,980,135,797,772,047,211,253,345,
816,785,718,035,036,078,917,228,568,145,845,515,266,584,556,943,661,682,674,
254,728,047,014,948,083,400,618,806,780,387,531,124,393,033,250,562,780,122,
326,187,646,008,291,799,602,308,680,427,030,508,088,514,446,993,771,529,409,
621,662,407,739,916,598,879,853,006,249,050,520,849,028,896,288,973,977,653,
576,654,520,973,328,053,219,218,514,928,669,642,851,162,292,839,779,968,700,
075,677,498,075,209,209,198,269,873,288,727,336,236,048,285,230,669,254,948,
880,640,014,318,148,427,033,159,371,401,600,616,999,346,398,559,552,436,866,
308,734,058,717,687,981,037,618,357,605,450,830,455,970,351,939,758,256,047,
545,635,861,792,932,798,871,537,191,323,786,401,358,696,781,503,053,546,215,
937,572,195,380,152,912,600,314,601,319,394,563,442,163,680,233,378,848,304,
772,024,579,942,841,637,652,560,252,033,735,116,388,139,778,274,336,233,223,
434,155,254,663,484,027,205,000,848,666,171,364,333,963,947,596,470,425,828,
513,120,995,126,837,478,991,965,319,791,644,548,934,730,802,688,542,311,413,
434,068,778,271,860,899,411,923,122,848,795,777,465,372,606,832,957,805,410,
264,893,296,006,032,173,832,412,651,434,494,415,533,501,956,837,396,289,274,
037,833,160,030,344,960,176,315,841,303,560,472,848,327,123,744,885,230,478,
655,972,120,316,289,794,061,625,767,804,730,838,090,075,623,946,172,278,125,
941,465,422,981,508,428,935,285,126,341,663,229,661,709,478,600,473,336,372,
452,408,306,758,219,061,305,754,645,913,866,136,448,312,048,807,722,499,018,
738,683,345,951,135,162,716,416,083,133,895,713,764,711,662,480,969,337,120,
946,499,562,562,744,629,256,054,657,268,746,641,754,904,990,231,961,879,336,
335,970,090,655,195,109,152,668,592,627,862,494,435,410,215,965,237,247,756,
452,824,286,550,394,974,427,013,056,782,496,560,703,417,475,232,425,038,554,
814,319,827,757,562,877,129,443,658,631,287,435,842,419,126,187,972,218,749,
754,506,624,709,398,889,858,833,590,124,794,609,291,630,723,392,746,966,615,
563,233,204,762,504,044,539,612,263,649,123,266,787,226,695,711,955,530,255,
863,175,223,423,318,276,581,685,550,807,627,167,200,145,335,559,120,473,288,
441,394,842,041,874,816,234,274,290,738,668,429,479,917,495,798,137,108,514,
572,458,863,374,123,164,594,956,300,649,330,964,383,028,612,979,707,643,954,
157,844,740,587,372,267,173,863,642,716,181,403,049,782,567,476,281,839,147,
850,764,434,878,055,061,281,260,614,359,927,850,609,596,289,892,091,946,165,
295,031,657,237,140,033,603,873,749,561,225,305,878,937,292,374,475,814,270,
641,602,328,804,754,747,338,424,105,733,830,199,391,911,829,874,160,083,046,
955,381,104,411,616,432,084,435,121,713,967,113,284,969,747,584,896,416,540,
697,265,844,052,667,123,125,583,533,749,957,875,294,021,708,304,610,533,322,
972,575,100,064,267,287,637,374,301,431,007,703,791,806,958,117,362,888,335,
804,053,563,919,759,201,206,825,174,502,207,544,294,761,891,043,936,964,725,
518,199,943,114,590,600,763,386,396,928,649,147,197,306,472,239,140,448,248,
740,880,369,436,933,270,794,197,603,316,886,552,011,534,820,237,154,389,980,
229,472,668,316,375,684,133,317,382,895,880,202,311,925,877,489,253,781,910,
353,351,834,540,747,202,693,552,069,296,528,968,628,095,217,740,914,536,169,
778,155,205,810,173,095,265,130,773,539,309,368,834,680,109,302,233,065,961,
620,760,512,432,159,994,593,162,037,339,655,249,650,850,282,468,789,704,169,
058,360,535,330,664,751,710,128,359,556,878,037,738,317,360,315,389,466,820,
308,306,824,906,310,328,429,556,857,888,888,993,054,501,452,863,820,891,313,
242,960,917,284,932,584,832,282,658,050,146,558,689,800,987,645,194,994,356,
995,919,082,445,468,725,778,575,440,461,914,255,359,127,623,128,932,136,799,
399,400,202,269,268,449,472,667,573,228,990,664,663,278,138,705,886,577,412,
458,675,647,574,247,480,323,465,601,664,995,106,861,603,039,808,182,012,771,
564,240,883,584,406,624,932,938,553,730,146,384,691,929,659,340,431,094,843,
518,934,013,908,181,415,383,085,483,373,057,140,221,589,027,233,659,638,165,
894,494,402,577,267,161,331,104,261,086,469,877,580,935,483,755,723,539,822,
300,814,511,646,290,028,922,718,239,000,985,205,578,796,015,383,649,095,820,
049,167,437,207,059,021,956,701,593,784,694,485,884,032,958,593,949,296,390,
298,756,309,935,871,448,347,700,845,442,373,261,270,084,564,068,044,573,630,
825,859,852,614,399,028,240,331,586,711,464,666,888,838,245,515,236,210,683,
713,881,030,751,461,446,516,785,477,288,657,574,316,073,967,932,018,128,803,
520,003,628,799,308,944,909,702,776,159,099,454,978,421,855,943,403,236,150,
233,718,736,167,081,896,476,982,335,097,738,485,373,585,743,976,326,212,222,
004,467,715,770,824,599,049,530,979,675,043,854,541,216,805,565,336,028,334,
386,326,206,464,403,944,542,941,726,445,774,957,859,283,630,568,036,238,894,
616,008,434,518,061,979,393,016,047,924,004,428,277,672,951,808,529,300,664,
742,516,436,246,931,803,521,235,214,669,997,229,854,266,347,711,805,862,421,
021,435,438,827,534,337,821,047,534,092,400,471,734,327,510,244,581,926,582,
721,709,353,380,894,434,956,932,590,035,595,556,789,525,501,454,106,783,821,
032,485,056,657,032,772,706,157,209,707,370,078,931,746,159,389,136,268,928,
881,541,917,444,092,435,223,943,960,713,920,448,484,227,238,759,931,450,832,
269,381,066,223,418,558,125,133,037,064,998,410,603,337,438,470,224,004,028,
132,606,488,715,732,306,920,543,269,635,960,548,635,060,620,062,403,155,456,
786,337,393,620,299,021,473,015,669,297,211,193,654,977,640,943,856,918,187,
067,425,436,156,750,259,443,798,629,409,693,497,321,276,856,721,715,560,759,
415,046,842,684,240,530,128,668,870,527,527,401,036,103,693,448,406,600,294,
909,345,701,941,486,023,825,158,405,672,360,405,141,225,153,849,284,197,428,
303,356,817,327,293,394,233,454,398,199,933,142,955,381,345,385,765,828,800,
753,715,303,618,559,926,205,799,627,769,337,404,815,149,224,584,193,859,832,
676,054,137,635,701,233,070,476,922,119,390,302,534,649,290,844,097,546,330,
392,043,821,978,639,228,590,908,148,392,314,298,238,258,759,747,232,500,990,
228,549,902,098,799,008,859,027,843,057,696,791,294,467,994,738,742,895,173,
083,091,320,960,088,402,989,631,461,554,056,476,153,273,812,464,057,246,463,
666,521,549,429,935,824,514,464,822,903,263,682,544,159,236,372,420,188,247,
837,107,559,494,001,003,887,075,492,014,445,543,429,348,872,396,870,882,121,
334,029,382,929,291,309,424,639,023,091,413,080,145,293,109,763,858,388,202,
198,701,486,355,773,078,462,985,452,088,993,567,246,845,698,491,725,694,438,
013,075,381,133,734,897,809,033,573,996,490,099,732,417,840,355,867,077,430,
820,152,423,352,222,443,160,138,125,487,541,064,595,809,778,029,468,419,133,
617,744,843,770,876,992,363,429,748,474,298,073,183,696,785,114,147,861,277,
111,469,047,502,670,472,983,070,553,826,839,715,008,828,887,858,082,721,304,
348,038,994,500,695,045,896,725,497,333,602,514,264,537,131,859,580,542,335,
696,458,685,048,863,922,657,980,418,202,170,102,185,766,730,330,740,507,506,
538,352,409,664,970,508,864,107,739,197,276,949,854,657,071,241,770,589,417,
768,287,202,995,453,895,775,050,547,486,809,828,361,955,987,814,604,486,322,
238,576,820,614,197,163,138,155,303,682,629,914,223,590,804,068,681,407,729,
643,442,543,100,728,103,876,183,193,688,224,308,919,474,952,948,553,894,093,
681,362,643,136,588,235,082,851,028,892,835,118,261,084,504,982,811,499,802,
788,888,450,823,425,561,973,865,090,095,285,354,479,582,118,661,111,169,158,
460,584,700,073,430,606,513,803,383,837,100,533,950,306,167,213,411,910,622,
598,383,653,924,397,106,947,486,569,980,099,675,239,384,500,195,270,478,079,
739,535,082,695,882,217,323,447,031,074,951,587,739,621,830,681,926,084,131,
079,001,341,227,997,486,531,995,121,842,913,502,393,521,156,542,714,061,810,
965,872,658,310,572,513,172,532,929,280,460,341,408,154,378,586,827,209,246,
167,429,730,773,747,447,086,446,343,095,792,397,648,894,352,367,805,060,714,
701,644,218,595,430,591,729,938,277,117,535,823,026,597,522,748,717,076,010,
823,992,903,566,528,368,034,449,184,801,154,078,258,223,186,576,193,818,210,
697,102,809,296,859,517,701,485,641,441,002,249,309,122,689,238,292,040,478,
468,410,813,805,165,171,278,825,320,921,270,361,825,892,654,211,920,393,266,
810,002,176,666,960,343,698,531,553,243,556,084,339,746,759,798,640,328,498,
416,095,439,606,360,260,476,768,392,606,621,644,521,944,593,385,156,844,184,
350,225,152,156,257,369,238,106,201,220,920,491,123,156,531,795,996,267,317,
285,433,001,543,291,240,516,349,976,081,287,146,286,878,794,863,237,053,034,
362,608,373,307,822,076,636,742,797,889,901,615,751,094,807,253,729,181,182,
299,230,364,701,932,354,619,122,997,270,573,673,121,851,356,089,457,689,086,
355,801,921,365,817,879,686,887,739,860,811,145,172,833,578,007,019,656,162,
575,333,661,345,327,384,101,994,692,291,582,929,251,007,589,995,179,619,046,
216,749,740,500,536,305,003,179,453,551,877,880,730,416,017,928,395,340,938,
745,127,510,860,355,970,879,323,109,411,125,779,367,592,029,564,293,789,522,
816,949,385,305,722,646,531,424,893,646,631,785,294,091,898,173,461,106,728,
874,931,155,352,800,007,234,093,523,297,027,986,530,403,169,402,063,729,510,
136,390,547,293,321,326,188,357,039,547,555,108,029,688,768,619,273,504,689,
479,067,052,581,307,642,072,080,582,403,343,603,523,462,031,281,041,974,392,
214,154,218,463,907,598,056,483,208,581,564,534,712,499,821,559,334,408,877,
831,625,640,337,219,806,607,333,397,227,296,491,749,233,130,515,922,596,709,
384,076,933,066,141,187,153,137,328,043,140,315,116,415,503,390,727,747,456,
751,439,811,591,789,877,417,626,491,964,491,262,025,059,367,110,438,561,091,
419,210,087,226,275,508,390,892,304,318,643,893,557,658,266,600,567,950,021,
632,488,039,226,675,118,941,754,648,248,061,176,376,207,034,263,769,882,652,
496,168,199,959,257,033,216,151,456,732,892,149,042,961,831,724,680,989,798,
255,502,197,626,667,934,496,467,615,315,956,041,459,184,372,138,604,512,856,
532,244,814,004,579,592,113,664,080,367,828,769,543,661,113,802,401,671,395,
407,228,166,359,276,694,478,507,454,985,658,510,313,547,831,109,304,878,281,
798,668,118,614,067,087,984,696,291,791,722,113,039,368,640,742,714,797,578,
493,314,542,356,054,790,195,379,404,056,458,178,145,552,348,380,996,597,361,
960,861,658,099,661,599,881,354,529,984,346,494,663,551,106,350,344,706,867,
663,958,668,360,231,501,154,361,615,103,302,555,440,625,441,497,653,358,405,
654,253,347,270,044,625,876,678,784,182,996,373,903,426,738,374,944,727,953,
830,848,471,438,185,994,092,659,417,975,716,616,318,377,462,883,266,845,143,
111,530,187,721,694,562,023,300,682,911,078,189,671,014,601,821,376,186,420,
980,785,167,700,879,151,389,563,578,868,211,506,276,704,107,826,422,128,644,
303,554,823,598,938,908,297,893,665,548,695,220,319,656,791,160,287,975,851,
438,387,298,218,847,018,914,274,830,577,248,531,941,051,264,116,212,006,900,
940,259,177,463,964,786,953,869,258,363,289,792,046,840,766,526,164,648,546,
902,273,808,991,139,939,260,533,386,071,024,506,862,433,338,705,086,800,644,
708,838,893,600,875,475,573,970,789,970,876,959,522,862,713,040,745,043,429,
715,250,636,717,838,871,423,871,583,561,049,652,237,828,710,310,443,822,863,
963,017,217,767,051,354,539,257,932,925,640,598,247,301,415,308,161,751,132,
480,011,910,121,992,834,588,657,171,775,485,478,902,302,876,916,228,056,246,
251,072,404,992,718,920,749,584,711,671,874,004,880,800,600,668,357,117,076,
602,569,991,760,794,646,941,337,730,759,107,951,915,069,235,577,270,904,337,
944,125,444,511,569,620,421,351,209,958,355,092,358,251,819,066,842,600,110,
857,180,095,690,908,485,037,654,653,207,847,193,135,016,677,003,225,249,761,
427,670,622,823,431,173,567,012,729,655,670,759,127,760,659,547,567,479,575,
447,365,496,990,522,742,907,058,015,555,927,135,079,606,013,091,662,899,707,
584,605,888,448,009,691,282,304,060,450,315,351,401,873,814,966,375,541,104,
822,074,642,986,169,496,729,074,525,827,133,396,563,685,761,191,362,978,490,
928,117,485,609,379,150,928,271,360,369,620,451,141,954,293,191,823,437,630,
005,164,027,158,860,298,571,903,159,710,456,476,858,089,112,772,412,013,711,
421,040,933,852,247,589,963,677,798,914,339,473,948,600,529,256,268,466,981,
123,649,464,702,954,731,924,404,057,573,719,958,657,237,039,011,264,791,246,
912,960,543,484,751,009,196,722,955,635,844,778,434,023,175,421,481,402,081,
057,135,793,932,975,878,501,052,895,273,302,010,401,835,016,108,448,517,714,
504,430,412,853,878,798,219,301,823,180,411,166,946,171,018,932,436,416,403,
312,740,819,559,445,036,226,427,706,193,307,614,327,480,563,286,573,474,011,
981,481,507,089,609,831,118,465,134,083,436,050,282,212,810,352,884,653,136,
737,828,774,387,986,010,146,763,817,161,826,601,689,040,551,291,104,795,076,
020,167,027,847,632,523,391,306,336,826,151,385,906,397,424,958,997,804,971,
896,264,004,889,259,349,369,783,155,189,650,286,828,282,048,811,597,502,781,
786,121,146,769,700,796,537,394,299,714,673,879,242,871,706,559,851,291,919,
368,628,014,953,649,272,380,841,325,984,865,725,615,529,914,699,495,532,901,
869,676,897,084,319,235,605,736,135,817,293,547,528,641,316,707,637,955,638,
294,474,645,359,926,487,907,769,944,223,236,056,395,069,571,723,518,389,348,
575,454,614,609,702,807,254,512,386,092,365,915,719,625,828,233,347,569,128,
761,522,525,139,731,493,043,745,203,982,079,128,554,496,956,303,151,893,485,
368,146,087,176,834,718,899,032,215,267,987,283,034,531,094,100,071,453,979,
845,817,717,870,370,267,920,784,920,968,465,448,218,690,189,603,887,386,000,
440,110,294,541,030,925,907,523,800,310,514,172,191,409,783,860,350,161,343,
546,389,738,111,563,739,624,610,869,816,951,486,325,352,143,708,642,581,374,
690,869,895,969,248,182,737,449,023,892,662,560,652,405,945,050,487,959,734,
777,676,239,431,510,787,908,544,841,586,723,113,111,402,876,805,429,375,812,
239,212,268,739,472,353,009,301,156,113,269,155,315,628,430,083,730,440,086,
289,039,105,106,671,900,337,082,116,582,369,629,151,233,994,013,130,479,841,
160,862,941,158,558,022,744,428,134,095,095,147,424,981,595,837,460,234,666,
185,484,389,408,324,156,178,922,757,894,303,631,620,941,356,066,724,577,883,
763,599,342,857,042,615,364,311,324,362,809,131,466,314,262,612,996,589,722,
581,409,455,084,726,488,652,465,812,951,959,349,747,356,620,335,895,283,933,
346,549,304,429,410,476,799,337,239,408,515,540,511,917,534,765,262,351,920,
174,797,358,969,792,791,410,281,209,702,913,391,348,479,243,072,638,436,997,
618,067,238,919,590,982,270,203,631,584,151,917,154,150,355,120,765,821,234,
933,143,621,754,417,360,686,958,338,603,292,157,511,588,092,543,235,904,851,
893,217,594,918,515,514,874,979,300,082,116,663,772,924,480,984,826,118,091,
555,233,977,691,189,908,324,983,109,802,842,612,534,319,069,349,115,201,913,
002,371,251,635,689,028,689,333,782,429,192,343,244,330,407,342,095,648,291,
838,792,539,464,227,941,533,553,868,284,551,344,386,962,301,531,249,367,677,
681,519,283,070,986,098,318,939,112,768,436,896,056,430,752,914,172,856,697,
079,291,549,611,254,721,445,055,452,835,411,975,657,047,748,613,192,586,492,
709,562,957,676,054,638,125,460,949,207,650,935,453,729,988,977,926,464,874,
646,603,928,929,282,928,663,711,907,512,463,347,624,901,879,061,873,393,374,
442,850,903,384,188,291,500,461,903,196,931,732,126,997,291,980,065,646,357,
663,893,620,899,194,696,610,589,231,093,452,160,990,302,673,850,676,473,613,
149,548,150,268,923,854,195,028,163,238,334,593,110,863,380,449,472,862,926,
594,439,736,479,036,566,147,788,212,071,284,254,376,804,520,131,059,514,166,
967,259,125,696,034,418,556,266,676,464,184,316,872,552,623,602,783,910,121,
527,357,390,683,460,595,428,320,662,187,791,472,979,427,358,147,089,014,251,
988,585,405,710,105,695,796,789,229,124,879,194,572,509,447,921,521,019,658,
701,035,996,805,531,814,182,970,959,242,546,009,701,657,363,645,703,519,099,
217,463,749,764,257,926,068,980,522,567,993,993,090,093,556,399,163,319,290,
276,594,424,405,686,250,823,361,461,365,352,689,804,247,436,863,808,541,316,
552,249,135,734,278,176,033,574,390,642,421,707,663,418,491,480,089,128,240,
098,786,801,779,002,703,570,717,997,645,324,572,074,452,816,787,456,959,990,
111,714,817,213,851,691,675,097,188,353,548,239,961,367,155,619,644,565,013,
192,356,746,257,983,899,796,280,376,751,119,472,637,996,476,354,224,857,496,
553,049,072,495,482,047,337,103,924,060,087,462,012,738,520,124,945,575,457,
102,754,388,976,609,587,437,994,403,124,266,094,662,653,695,613,053,374,883,
970,201,647,445,303,332,713,331,419,706,255,194,706,203,612,022,643,345,888,
945,939,393,123,661,653,204,247,235,398,248,104,337,694,882,849,164,150,494,
585,564,372,256,821,570,708,624,718,162,485,160,860,028,486,228,408,426,980,
015,957,345,867,286,127,891,693,007,537,890,491,394,846,454,202,548,019,022,
930,424,261,585,683,011,034,040,341,073,387,207,160,453,167,808,112,241,815,
068,085,038,944,625,678,220,676,976,532,934,068,926,067,351,565,862,110,032,
103,771,999,738,189,823,675,545,574,410,355,212,922,371,888,566,911,435,665,
086,486,529,391,219,958,552,518,508,454,989,236,899,315,732,385,445,255,137,
063,318,219,457,323,427,402,616,237,086,802,853,894,078,745,679,791,698,572,
878,686,397,154,109,195,281,744,737,139,903,175,011,778,712,192,801,717,219,
957,724,743,862,846,271,378,011,585,881,733,822,344,094,680,404,398,627,091,
635,915,210,343,091,695,260,079,091,733,971,511,923,451,628,147,167,767,322,
742,139,135,655,928,240,644,386,305,123,585,810,089,453,735,597,814,619,950,
961,649,616,695,448,389,554,111,096,912,644,397,880,825,568,064,906,457,979,
871,701,396,531,034,479,134,850,997,436,695,617,193,773,611,922,458,680,757,
877,590,844,416,550,014,796,313,887,174,951,850,729,136,419,806,939,627,984,
188,436,863,610,934,410,574,129,552,583,662,941,319,291,579,801,662,173,383,
534,691,076,054,279,835,831,489,610,569,615,548,914,520,682,458,551,739,172,
631,634,193,285,070,637,598,507,219,252,029,418,651,687,314,960,080,228,588,
789,556,685,443,274,974,207,866,808,676,322,889,207,256,315,896,593,182,374,
442,141,502,146,008,561,114,249,081,904,053,739,803,505,444,619,493,781,088,
192,241,035,442,129,744,124,006,823,580,810,014,485,101,024,992,757,384,461,
324,995,023,942,199,205,018,957,195,725,082,345,620,559,895,925,243,036,765,
234,929,588,364,065,403,868,182,819,911,413,389,617,154,957,234,873,416,428,
033,652,513,741,568,213,940,106,332,382,076,818,625,690,995,211,414,064,955,
073,477,564,970,649,457,424,728,217,377,889,238,645,666,452,921,583,855,500,
929,803,687,266,946,821,248,748,070,954,981,868,810,671,352,091,250,246,234,
078,921,613,339,733,524,751,580,791,211,944,850,592,153,402,796,915,622,052,
769,871,841,081,090,842,785,576,855,657,038,658,012,614,613,908,923,917,243,
178,941,209,677,337,316,561,011,539,677,248,486,065,437,325,174,747,924,821,
663,450,519,415,327,516,692,890,584,099,717,267,973,262,154,424,354,248,033,
211,050,245,937,684,694,923,360,136,830,110,758,505,938,864,229,725,886,475,
870,005,845,034,357,280,686,279,781,566,198,630,080,525,681,152,159,851,157,
809,807,856,486,662,065,469,348,284,288,434,591,336,801,136,315,743,246,764,
490,954,527,168,643,758,561,564,761,779,086,871,049,775,000,512,414,334,985,
527,315,729,736,229,042,533,450,608,307,756,553,123,761,753,517,202,008,711,
756,753,321,841,471,626,082,892,893,703,387,844,997,505,240,254,176,513,548,
006,409,422,666,345,902,734,020,886,347,531,419,275,331,314,881,426,541,751,
912,906,676,373,401,859,708,711,317,332,273,072,128,697,210,268,916,103,326,
500,562,346,203,478,383,299,310,220,824,210,946,939,161,659,581,943,655,819,
671,153,771,249,696,413,653,295,427,977,059,774,146,140,115,905,867,741,362,
598,515,104,877,879,338,323,553,541,245,918,990,585,184,489,173,430,686,152,
265,534,680,129,839,031,391,235,505,929,698,998,381,123,092,932,090,554,658,
283,735,123,065,954,711,826,063,979,759,253,382,097,768,689,273,780,520,102,
210,747,069,216,015,159,285,522,442,500,090,736,021,206,414,781,716,003,315,
463,441,396,079,248,400,817,351,180,193,130,254,087,659,323,687,173,942,450,
793,696,516,647,764,035,499,659,244,506,871,427,516,831,558,970,718,845,010,
866,526,593,438,721,677,806,458,711,198,443,043,690,244,212,669,920,020,028,
928,526,465,610,336,722,930,444,917,092,934,831,321,235,281,913,838,929,542,
831,697,780,786,695,547,389,711,537,134,725,912,180,532,476,452,693,420,629,
194,287,862,036,627,880,847,960,718,618,584,375,238,253,394,358,609,057,743,
440,747,041,129,072,582,164,238,655,674,423,773,861,656,869,364,257,923,331,
023,656,613,222,419,269,302,592,634,283,998,891,777,878,881,782,185,253,553,
643,649,183,184,501,733,012,685,209,069,806,278,028,759,349,736,309,900,290,
320,279,217,833,546,245,815,261,121,922,301,354,672,833,858,465,889,830,932,
171,259,341,734,682,016,437,607,971,134,080,802,476,364,916,516,586,552,787,
247,303,012,048,384,240,380,877,354,162,746,118,712,794,502,073,120,974,939,
990,027,231,053,099,969,928,674,665,340,168,048,388,756,553,413,812,176,133,
961,552,465,453,161,966,155,750,401,611,418,678,685,339,032,269,874,736,612,
866,613,375,336,720,266,352,383,635,602,015,374,064,396,833,093,553,617,316,
816,249,549,713,501,628,413,644,699,214,268,374,224,165,831,105,494,686,917,
271,777,761,367,347,432,293,947,942,921,032,622,593,863,540,303,896,203,559,
264,833,676,359,137,337,673,724,169,196,253,277,138,722,688,127,039,035,986,
480,868,440,078,812,074,797,880,194,249,798,194,899,146,907,279,068,109,796,
924,665,115,063,698,154,749,247,315,203,280,222,110,062,755,331,333,545,263,
599,723,962,420,838,628,245,771,487,054,365,335,394,063,308,000,229,477,227,
846,694,552,688,617,032,903,040,400,599,998,417,786,739,841,958,021,068,879,
602,136,956,760,210,427,906,754,735,657,046,250,393,305,677,929,347,370,704,
466,724,866,663,167,225,314,768,323,379,581,648,443,321,388,713,977,297,791,
912,859,202,473,821,701,187,388,461,834,238,595,799,772,575,512,747,450,735,
948,486,206,381,420,235,297,243,929,455,496,353,712,809,997,067,299,119,326,
214,790,377,733,912,442,493,211,174,556,922,825,563,227,425,291,669,053,796,
581,745,522,056,022,685,147,510,804,309,154,570,203,991,332,137,474,730,345,
564,519,008,937,378,702,748,445,698,883,634,557,715,423,729,108,168,800,116,
369,394,666,125,479,106,079,430,817,483,850,731,821,793,259,162,997,422,683,
572,490,158,141,451,266,284,533,322,637,915,037,623,261,653,460,209,769,013,
044,453,979,431,727,421,794,311,809,260,288,583,653,296,952,197,205,636,249,
773,766,055,306,203,216,497,393,259,877,765,830,456,902,152,310,811,587,612,
053,625,173,320,539,637,431,193,487,179,641,745,002,179,754,192,275,663,680,
198,331,140,209,847,649,651,983,057,168,853,865,679,656,031,918,083,572,097,
651,341,333,234,736,619,140,279,746,808,377,093,180,773,530,049,183,186,482,
845,332,168,456,884,559,611,712,911,668,176,279,426,466,757,727,348,327,945,
841,579,877,394,534,717,191,438,960,039,803,768,616,871,264,097,561,287,911,
971,872,214,356,677,836,064,119,181,125,295,281,821,509,912,087,753,691,738,
979,583,379,265,217,608,304,987,719,454,690,174,463,716,939,151,571,498,858,
754,783,067,420,189,348,812,805,681,659,919,817,971,203,550,677,243,041,636,
787,057,608,431,744,943,724,968,970,682,882,227,832,212,279,875,699,664,051,
514,864,246,309,869,679,999,725,214,018,783,492,051,062,897,956,398,099,701,
106,371,228,899,922,671,325,603,437,542,328,537,624,903,699,746,563,128,218,
288,737,520,455,762,496,243,916,733,160,276,722,058,604,411,969,038,271,136,
250,232,922,325,505,987,076,772,201,924,281,618,754,170,353,725,846,053,189,
945,574,719,460,952,888,279,145,807,987,491,227,745,539,343,420,657,984,866,
781,431,318,373,263,730,804,044,132,899,594,542,082,934,564,739,146,579,532,
101,660,490,306,682,481,057,869,010,059,086,804,508,501,571,374,794,012,831,
485,410,250,759,207,003,833,128,672,938,028,601,929,424,176,994,695,330,039,
019,855,335,530,174,102,078,149,810,193,401,412,140,882,344,536,568,347,133,
270,991,582,719,304,859,269,164,010,648,149,471,349,885,937,806,447,417,477,
483,872,989,381,489,945,210,062,788,992,081,702,893,250,503,372,072,671,432,
391,283,928,496,224,189,120,239,305,283,863,747,601,399,314,373,045,180,930,
158,983,442,391,943,345,118,109,612,580,171,188,005,180,510,379,255,297,355,
016,506,619,544,220,867,879,477,267,329,880,084,153,737,032,919,128,370,086,
560,689,014,310,582,499,182,097,204,904,733,889,499,446,772,738,850,659,854,
925,421,347,815,702,553,677,520,613,778,895,125,140,311,588,504,865,358,296,
405,845,110,510,138,783,325,295,223,075,158,796,456,928,755,521,292,230,552,
719,927,550,833,259,374,374,116,479,554,114,497,419,219,665,108,909,309,741,
519,293,142,048,072,040,363,815,911,263,211,804,471,157,052,744,311,407,735,
643,777,076,414,981,408,476,740,766,966,346,947,126,204,563,058,240,799,274,
031,720,443,525,910,989,761,172,612,449,628,484,961,678,973,287,685,171,139,
048,606,170,071,775,890,210,020,324,333,843,279,047,543,468,631,493,500,303,
548,861,159,366,463,410,624,974,348,631,520,317,737,657,174,762,904,437,924,
648,564,803,521,977,498,179,252,946,724,677,825,247,829,748,016,490,685,860,
039,325,962,032,736,005,136,599,330,434,257,597,440,402,326,944,854,581,749,
274,516,817,516,946,800,959,879,867,771,211,900,492,546,152,361,917,276,993,
180,640,627,092,446,420,778,599,616,527,135,293,884,827,024,330,226,379,000,
932,100,671,370,497,715,925,624,563,128,177,138,834,238,806,540,971,779,144,
687,018,458,842,234,379,890,719,101,528,065,620,493,112,686,849,107,577,650,
957,722,485,921,814,669,672,422,903,780,051,372,737,289,744,472,922,718,539,
165,712,269,062,172,220,388,091,471,548,807,595,755,045,141,378,554,498,629,
578,493,559,304,683,229,931,198,838,449,509,042,226,104,388,318,775,446,470,
408,844,734,604,597,870,365,028,505,305,909,107,459,048,413,755,395,597,663,
559,167,255,338,035,774,320,673,300,686,531,366,395,025,457,829,401,878,593,
669,502,720,781,721,524,064,253,736,927,660,767,687,034,765,340,730,648,631,
850,408,181,203,038,801,977,119,252,850,707,649,173,253,026,824,921,107,773,
062,333,559,395,280,919,834,538,737,743,538,073,768,676,666,257,152,013,799,
949,157,554,273,018,257,584,411,790,564,150,310,248,509,991,998,117,964,370,
202,591,862,436,870,705,622,810,441,571,663,203,577,407,125,786,126,190,452,
100,087,856,194,047,755,889,087,337,801,335,864,475,301,833,634,069,603,630,
939,817,880,364,327,780,120,503,867,143,846,651,900,224,192,850,218,692,919,
164,660,085,864,134,564,829,587,067,793,461,452,928,125,672,967,419,156,274,
482,769,190,988,231,809,342,082,944,658,186,500,574,798,222,695,010,038,294,
440,698,628,374,658,641,944,551,912,578,072,781,354,687,401,210,767,828,597,
180,785,344,519,331,805,301,068,703,681,641,898,614,070,475,029,040,668,313,
828,280,584,586,633,316,962,172,393,804,608,543,944,389,824,604,718,317,136,
707,847,276,367,957,295,319,783,777,932,780,217,327,756,776,636,650,518,152,
164,265,484,360,381,055,861,471,434,189,448,784,516,084,931,100,926,975,309,
085,488,348,724,214,681,061,190,697,768,158,158,048,067,270,362,152,484,721,
448,736,537,289,090,847,831,337,413,483,769,431,046,472,525,389,015,262,643,
690,202,948,740,577,678,367,418,931,111,257,042,755,415,481,916,418,698,428,
083,777,453,006,751,321,588,305,657,003,398,280,332,622,577,940,670,397,745,
599,436,836,377,310,595,810,775,321,098,177,285,858,793,710,038,039,527,300,
991,910,105,022,094,180,753,113,606,731,678,767,766,311,025,739,575,225,241,
037,403,902,497,093,428,382,262,540,490,711,433,702,255,399,176,146,554,997,
192,236,291,611,405,770,486,626,233,492,896,265,549,057,005,793,285,623,504,
811,232,781,604,248,243,587,694,750,304,481,477,092,858,100,981,574,581,186,
085,775,456,973,156,537,298,709,897,902,337,693,474,675,219,469,962,794,127,
426,251,877,398,360,576,140,921,788,464,870,943,121,104,472,815,153,230,107,
947,503,098,049,459,384,564,406,983,430,974,983,231,176,937,178,697,759,186,
300,796,831,903,633,135,933,405,856,446,800,733,699,030,600,844,007,512,955,
239,341,691,103,462,863,106,056,534,896,419,830,131,656,248,572,300,277,449,
096,092,325,287,620,670,542,172,781,423,715,462,034,413,231,201,024,791,023,
012,161,983,100,737,126,697,956,575,987,631,789,294,506,421,402,120,336,340,
233,549,309,716,917,442,812,993,024,389,424,244,860,182,870,622,345,178,070,
539,407,772,062,257,160,035,401,235,836,338,347,538,904,915,965,861,192,670,
138,923,504,543,624,463,431,646,376,524,534,071,607,308,119,364,219,319,910,
971,178,768,345,166,577,051,208,738,588,180,244,338,642,284,230,385,771,897,
506,701,870,772,251,730,841,933,434,497,022,307,998,141,860,553,728,076,413,
542,807,257,023,149,751,849,465,811,858,845,644,147,706,578,501,460,540,114,
914,133,489,757,658,105,061,995,390,265,386,262,318,713,464,781,061,176,618,
541,234,182,351,102,669,623,741,931,513,162,684,365,472,342,753,751,539,589,
109,122,298,967,172,707,242,426,064,723,097,145,918,115,201,175,934,104,762,
984,429,650,779,417,906,828,442,889,845,793,853,991,251,032,679,854,957,440,
430,821,293,662,518,628,176,136,886,133,187,548,288,752,903,068,776,063,577,
919,341,366,459,094,332,092,308,901,789,869,319,160,200,824,849,832,095,264,
805,087,142,907,080,471,469,125,429,566,889,375,212,628,405,849,563,146,532,
820,128,490,748,489,720,604,531,029,156,695,976,416,042,259,692,969,708,803,
624,574,961,614,105,541,686,859,723,679,050,648,507,379,219,157,838,538,551,
429,270,632,701,422,368,412,487,814,096,107,711,295,376,203,021,442,671,928,
526,207,311,549,267,868,698,177,119,296,675,600,913,989,863,556,752,163,821,
943,676,418,365,832,369,145,173,839,165,112,933,923,154,045,906,185,212,669,
365,276,378,065,942,526,979,469,116,397,611,500,010,520,034,298,085,583,680,
907,904,045,768,407,402,263,595,251,021,853,899,265,307,530,389,623,150,331,
217,305,043,880,685,023,689,390,792,534,238,169,997,955,764,451,308,480,731,
841,518,061,971,686,313,868,417,240,128,530,274,470,229,528,558,765,368,895,
051,590,478,421,245,994,404,639,859,607,896,534,017,637,547,045,968,529,763,
845,027,477,761,686,398,948,683,751,949,919,669,019,385,126,733,664,266,553,
209,203,204,839,986,069,899,574,851,740,743,733,978,124,939,645,416,619,693,
122,581,518,768,461,028,532,638,589,158,729,162,532,911,467,755,233,671,628,
677,293,772,187,843,661,790,582,351,131,857,589,846,272,386,184,229,077,303,
444,627,543,055,803,140,400,660,824,293,202,521,384,449,498,761,251,272,339,
732,776,311,449,537,353,706,289,526,588,481,599,176,514,467,634,532,830,616,
067,380,779,423,240,443,110,343,950,169,367,721,365,116,977,634,580,878,494,
867,346,471,237,592,832,722,298,965,889,391,621,278,564,083,812,172,413,965,
456,016,736,235,741,277,413,688,688,207,080,995,264,871,715,594,229,413,245,
805,281,340,011,086,578,741,680,017,546,670,267,808,857,042,763,311,487,324,
265,016,397,215,814,628,544,395,068,909,229,676,052,197,562,329,724,788,534,
454,773,224,738,075,586,011,144,699,177,419,914,783,717,361,585,947,588,753,
761,517,868,158,260,783,736,573,759,273,158,440,807,385,077,420,723,968,707,
672,600,695,856,026,828,253,212,470,005,059,452,049,751,256,936,042,411,679,
199,504,686,816,741,775,832,084,999,518,251,369,801,959,353,425,548,634,504,
655,984,771,970,296,444,358,763,458,074,180,962,744,454,941,311,287,397,211,
585,019,905,905,444,823,051,086,300,462,897,400,544,842,713,763,049,662,749,
140,337,253,485,550,832,021,703,791,980,059,766,490,994,394,727,862,501,290,
422,569,597,181,385,663,623,998,971,061,504,406,297,427,427,489,961,032,199,
578,544,164,092,619,572,575,823,755,967,130,315,426,089,334,734,737,958,480,
264,333,238,953,697,536,577,160,869,634,259,649,501,457,329,216,970,598,245,
539,171,521,954,035,293,188,099,931,935,824,764,713,514,914,643,716,394,882,
738,761,040,568,713,518,325,858,782,211,996,349,066,030,457,593,390,336,509,
926,252,698,987,402,640,271,273,904,922,597,388,856,425,704,601,330,822,370,
566,675,391,687,193,953,658,016,739,269,843,181,430,534,218,931,751,420,963,
678,154,563,326,368,320,437,282,399,060,817,491,048,540,711,649,040,790,542,
490,957,137,827,376,736,668,306,823,183,879,866,718,156,148,934,917,509,248,
740,523,568,358,057,116,035,191,845,533,387,468,526,569,424,931,495,426,794,
730,189,136,207,853,477,531,678,864,488,287,943,840,029,018,233,022,341,419,
330,813,503,104,539,820,594,671,853,928,386,305,511,310,161,567,114,334,393,
437,476,778,678,029,790,168,752,922,830,634,483,396,989,848,688,128,566,389,
972,093,890,728,646,662,540,679,596,425,318,610,499,586,457,596,941,088,025,
420,572,077,286,151,099,681,878,009,140,430,456,589,649,198,557,562,959,997,
739,609,174,820,512,765,739,166,556,390,290,893,273,346,451,533,499,246,096,
680,839,198,076,472,556,602,361,611,277,285,006,316,226,385,259,440,656,173,
430,513,990,453,062,984,559,906,820,487,114,697,053,650,495,298,332,454,602,
142,556,834,897,574,989,481,486,568,719,346,496,300,487,240,328,194,179,259,
941,134,315,234,661,292,996,679,420,167,600,067,719,976,233,904,983,422,217,
284,746,108,818,936,354,273,160,632,052,777,872,160,146,749,030,360,839,777,
265,069,358,597,050,851,188,760,217,059,812,231,298,381,990,114,613,327,367,
817,325,035,463,339,644,136,637,289,631,328,323,783,977,312,103,470,675,688,
626,869,101,675,541,776,325,165,289,871,720,650,843,399,748,187,548,106,670,
913,582,406,671,247,727,319,690,077,536,114,342,086,662,721,148,558,091,629,
193,187,838,532,242,351,570,237,370,718,380,279,189,742,796,740,730,637,724,
101,766,711,456,111,633,289,166,224,449,779,576,390,618,160,492,939,036,578,
040,836,295,306,871,586,453,295,898,621,209,500,256,869,661,714,806,604,068,
258,242,468,147,633,143,810,752,586,524,161,646,657,722,457,278,863,624,554,
014,524,802,830,765,434,401,127,041,766,357,021,646,424,718,443,841,155,729,
333,279,766,171,154,710,925,111,419,874,567,863,857,305,358,775,358,225,539,
412,807,634,716,105,603,895,425,591,351,852,614,642,942,154,346,920,891,813,
691,782,594,795,450,031,523,648,213,528,966,971,384,906,030,738,011,051,207,
273,166,694,678,303,874,160,272,219,961,610,435,416,649,747,295,971,442,882,
318,202,026,986,005,794,784,328,087,990,426,881,722,703,047,309,438,777,291,
350,797,150,208,550,454,621,710,465,774,507,701,007,704,015,795,658,105,329,
660,753,142,414,311,223,270,947,322,635,669,857,104,637,089,527,578,773,962,
290,553,310,931,212,501,268,051,419,519,749,527,000,261,315,048,936,795,651,
235,139,725,851,592,464,754,952,845,489,419,747,357,173,198,438,052,450,292,
326,445,398,379,859,952,305,522,605,173,500,653,006,078,829,361,810,983,510,
892,014,764,551,638,150,909,363,490,822,352,849,539,793,774,175,009,017,405,
808,778,479,319,088,992,806,994,139,339,765,185,668,659,045,018,912,028,597,
968,667,006,552,302,877,064,338,514,023,177,776,840,009,226,565,190,943,955,
290,336,922,585,421,466,491,702,544,436,113,082,261,821,580,050,585,230,454,
031,606,647,207,208,241,729,856,149,904,255,571,710,137,410,269,920,894,472,
639,852,450,937,173,402,715,800,341,606,288,926,494,114,358,269,731,900,114,
877,247,744,695,555,754,925,716,863,913,623,552,583,039,450,060,401,924,476,
537,885,262,294,597,471,619,750,739,053,765,803,062,302,995,121,982,729,360,
230,731,330,030,369,409,887,734,262,875,473,689,396,560,232,988,649,376,537,
504,622,400,087,835,999,979,179,503,409,155,978,420,780,848,033,751,349,756,
528,011,586,915,601,892,971,215,641,415,827,223,572,901,151,058,002,160,979,
669,166,112,164,879,281,771,728,978,917,005,102,903,458,863,342,653,448,511,
282,603,372,704,520,755,090,523,677,425,921,970,144,502,238,708,473,828,232,
766,092,706,218,543,237,036,821,230,755,196,113,208,589,790,792,197,252,110,
690,550,012,432,874,549,988,209,115,230,125,247,616,845,821,585,753,861,649,
382,880,716,058,893,675,057,413,265,966,682,330,473,358,369,803,928,548,441,
282,441,384,392,385,340,997,638,500,114,409,692,756,193,725,863,306,391,173,
414,106,654,700,750,470,049,468,327,886,177,761,681,521,323,855,094,920,376,
655,092,308,688,349,720,531,129,759,665,931,714,675,084,087,824,473,814,342,
649,710,706,998,434,262,490,691,225,244,755,966,263,470,595,238,547,963,986,
954,448,772,462,726,249,316,008,338,363,597,318,893,595,289,155,468,944,873,
800,801,317,531,378,713,615,462,303,652,796,743,069,227,040,180,018,700,479,
569,293,827,394,643,650,634,653,102,482,257,154,048,539,891,796,775,862,190,
940,038,638,619,093,013,467,118,342,299,432,090,265,796,969,139,572,394,608,
599,232,393,414,428,127,884,114,843,601,756,119,259,274,657,888,746,367,213,
973,789,371,112,997,073,491,970,056,162,945,970,334,673,641,427,095,440,099,
037,430,691,823,087,228,709,928,688,447,415,545,688,046,314,955,382,315,165,
614,536,209,127,385,378,552,452,712,624,330,421,355,109,579,348,611,351,849,
139,260,617,784,477,192,512,159,497,243,963,358,089,855,583,500,743,725,100,
934,452,019,664,770,711,615,863,381,844,119,741,697,275,166,551,815,829,475,
647,760,174,720,457,368,205,436,278,419,687,924,182,754,935,057,227,022,878,
971,388,247,015,127,895,523,761,983,083,468,393,369,832,575,237,850,983,740,
852,066,720,707,925,238,089,239,598,481,268,438,866,453,494,230,817,182,096,
307,278,631,910,056,698,095,510,557,026,995,632,574,334,804,930,309,502,780,
480,750,420,736,378,841,692,114,744,854,495,231,349,199,969,086,300,758,876,
335,868,365,692,688,124,765,761,579,356,801,262,620,816,713,731,634,613,085,
215,176,635,496,108,382,706,232,920,175,477,144,402,038,658,879,835,450,468,
923,534,669,924,198,798,019,526,432,481,071,424,231,707,153,627,541,414,074,
436,429,262,425,515,381,187,288,878,016,118,018,406,343,902,081,366,889,816,
524,160,435,808,599,749,122,874,588,595,510,047,337,347,528,658,094,340,568,
634,084,212,162,060,949,205,718,660,848,146,768,017,151,012,191,056,311,246,
563,251,617,325,362,320,493,128,866,266,270,492,545,267,870,218,669,459,048,
480,456,545,417,102,574,695,070,264,251,521,651,829,143,847,893,035,224,452,
132,899,055,134,062,314,069,055,106,209,690,788,691,659,617,423,188,707,528,
656,746,494,658,243,235,660,197,943,245,633,689,640,446,126,551,171,186,512,
096,083,169,065,950,440,849,515,658,465,906,734,702,164,516,814,475,600,124,
729,913,296,320,146,060,294,114,090,178,279,248,131,915,845,617,695,831,362,
004,400,105,776,104,255,047,599,949,855,905,248,273,016,450,868,575,228,788,
342,748,563,634,242,820,003,597,461,665,924,817,460,464,661,832,461,374,353,
512,407,412,292,336,025,029,228,226,231,741,450,160,228,882,239,693,527,003,
528,385,097,901,395,678,371,224,761,029,016,466,662,996,466,833,750,542,095,
754,948,841,949,985,851,200,065,267,894,621,532,995,689,302,411,085,400,058,
851,659,868,016,762,435,162,422,413,204,431,151,691,546,657,205,551,820,617,
353,768,660,652,433,231,907,618,997,545,875,025,516,357,030,949,778,979,286,
644,761,322,893,896,413,735,947,478,154,801,848,055,851,069,071,762,693,243,
421,049,639,347,558,497,841,067,164,094,740,917,721,208,621,443,834,367,665,
763,876,865,411,125,080,264,879,771,291,625,152,878,448,259,765,829,868,429,
850,301,779,494,201,756,752,872,679,437,588,856,174,879,254,594,864,130,478,
366,521,133,049,083,035,726,210,853,253,225,900,852,057,210,081,535,364,133,
333,918,033,333,518,972,756,376,098,919,631,422,799,797,912,486,838,974,124,
527,613,889,092,014,591,705,442,960,549,400,165,089,750,487,681,511,554,327,
643,028,349,959,078,653,418,092,538,728,472,731,732,331,482,987,900,357,290,
211,837,715,833,936,496,854,947,806,393,008,767,729,406,329,059,031,590,162,
645,929,623,969,338,851,025,453,041,928,774,292,199,815,171,972,570,230,004,
416,611,502,533,091,851,404,247,759,902,909,811,415,479,464,069,499,920,718,
800,082,377,651,740,169,276,080,266,298,692,150,414,731,654,917,962,052,223,
502,390,644,322,662,830,292,982,034,272,249,815,894,617,404,644,767,594,121,
710,277,690,439,402,992,019,099,895,309,223,718,707,711,917,720,974,966,358,
951,753,205,504,815,855,230,447,277,371,298,887,712,927,618,550,978,970,931,
535,161,818,189,624,832,197,229,287,045,950,715,149,442,984,182,429,341,484,
577,078,706,974,747,699,603,066,725,427,361,420,551,888,263,503,615,548,229,
190,518,459,889,010,838,730,068,970,999,692,296,280,240,954,115,231,559,879,
971,676,064,202,170,068,692,507,563,013,315,642,956,029,150,883,537,086,102,
982,230,528,102,938,199,728,979,607,080,827,573,756,164,273,306,643,487,373,
246,324,551,379,034,049,821,062,319,163,220,833,979,585,661,950,734,964,894,
796,106,979,495,953,494,529,257,629,748,243,895,476,028,682,929,810,986,645,
484,480,573,687,733,116,309,980,805,890,409,840,849,101,273,745,235,143,140,
028,596,760,082,873,288,266,416,766,460,030,103,784,029,267,694,021,310,580,
526,331,829,184,350,987,494,034,718,573,728,383,314,648,085,509,076,588,162,
274,772,113,906,411,892,277,355,096,059,693,510,483,550,166,648,495,555,974,
334,617,000,731,821,775,149,343,785,692,986,971,913,660,041,473,041,701,971,
003,905,597,241,156,757,971,428,343,681,697,271,697,750,714,116,547,371,230,
539,463,711,659,113,111,272,774,124,637,737,685,221,016,077,784,951,578,186,
478,561,562,180,325,662,710,824,711,345,069,977,720,852,282,834,887,787,201,
625,086,378,304,163,682,184,333,858,081,021,316,201,550,684,225,769,172,702,
166,290,321,561,905,722,292,652,605,864,428,864,103,042,024,709,687,541,666,
753,466,133,877,981,930,355,268,180,464,465,393,470,950,310,738,148,496,558,
677,566,427,778,817,909,005,444,305,437,597,019,818,869,333,312,830,767,102,
724,160,747,399,966,435,395,189,944,655,905,383,014,877,018,781,045,935,633,
312,804,711,267,140,319,349,554,822,177,950,489,508,724,564,740,503,734,816,
813,658,233,594,207,940,499,473,072,419,207,030,128,113,826,244,215,895,209,
487,844,205,038,990,745,967,196,285,720,163,403,114,694,282,202,985,576,559,
048,563,126,049,925,130,000,772,628,776,831,888,623,148,857,419,750,217,074,
279,613,583,024,310,307,098,962,379,608,411,663,396,689,015,983,835,273,474,
374,435,711,232,117,767,805,923,614,266,230,234,598,266,605,953,484,094,453,
274,622,940,225,209,210,541,784,945,019,156,177,338,329,261,858,061,051,549,
039,831,739,083,087,936,706,886,074,716,095,781,002,171,797,871,997,316,540,
719,774,857,973,698,095,980,853,706,366,440,919,914,177,050,810,092,158,777,
519,940,263,276,393,624,581,392,428,116,423,457,092,582,424,834,428,536,750,
690,001,504,932,795,564,129,166,315,094,362,847,854,813,017,310,634,581,793,
952,104,510,007,094,796,318,405,388,144,795,890,875,705,347,898,535,581,815,
871,790,298,148,957,801,365,491,371,205,691,877,136,720,606,054,189,573,347,
431,223,280,875,965,534,833,891,443,055,380,142,359,478,862,798,923,397,221,
295,062,372,674,424,077,172,392,741,343,251,465,087,499,708,373,696,764,238,
206,967,701,569,653,319,817,383,579,281,153,985,871,426,128,188,746,868,196,
610,547,686,003,488,126,926,381,466,698,021,950,727,976,508,817,075,500,767,
049,743,444,541,263,293,938,859,134,755,910,222,166,411,142,061,372,483,667,
964,909,987,476,904,439,483,656,795,762,332,637,055,593,176,790,649,539,993,
443,414,853,818,197,162,181,331,825,219,747,298,561,284,494,353,467,215,671,
173,752,577,674,613,731,382,323,716,713,313,630,213,153,384,192,186,208,187,
391,394,211,691,467,410,862,276,070,178,933,636,344,122,412,193,113,619,595,
730,693,105,802,959,447,469,343,658,476,724,034,267,692,515,241,869,313,638,
356,915,554,518,546,453,514,472,639,595,914,064,149,064,021,957,087,065,182,
407,874,804,686,612,108,098,572,157,958,993,390,439,894,287,390,008,550,008,
102,881,342,980,459,388,761,101,728,404,076,130,753,041,111,681,752,146,523,
942,626,927,654,918,250,217,189,166,538,814,295,167,903,712,190,397,613,220,
635,854,270,778,721,323,209,502,865,931,642,728,476,273,598,487,290,814,695,
538,730,713,390,871,740,012,723,623,544,053,178,310,556,843,489,116,622,941,
632,267,307,842,070,029,283,034,346,306,992,265,773,881,489,617,929,462,912,
023,976,408,037,247,104,448,612,575,240,921,707,284,863,765,501,771,704,564,
118,414,106,914,942,461,313,251,049,258,474,822,836,110,803,929,229,071,434,
770,527,934,113,675,765,304,506,518,252,722,318,287,724,578,703,827,220,423,
632,717,811,070,962,539,551,768,686,558,857,920,401,997,953,916,873,782,419,
161,599,800,783,905,540,648,491,140,395,939,268,641,856,484,811,667,344,791,
680,072,577,269,386,763,747,711,228,651,452,027,077,907,767,928,444,276,364,
922,486,952,002,004,317,020,333,059,062,798,034,604,558,956,771,468,148,282,
699,624,786,096,401,160,528,076,553,436,501,703,537,478,106,885,197,145,100,
227,754,639,603,226,009,087,053,009,895,502,190,728,770,573,261,898,131,124,
952,016,643,861,431,971,356,065,773,843,012,232,588,505,031,845,354,675,019,
811,887,841,410,922,972,556,907,523,805,062,154,384,910,602,228,909,139,231,
333,781,752,097,526,092,828,972,106,826,105,171,688,814,817,811,852,471,008,
187,469,734,759,339,850,075,376,302,675,692,035,782,358,669,984,246,543,290,
048,644,373,862,423,485,993,482,213,295,469,823,737,661,647,389,322,289,525,
050,958,663,618,295,115,851,738,800,270,234,031,352,569,431,514,204,477,705,
306,665,288,539,386,075,710,961,900,133,134,638,890,375,698,966,895,580,933,
666,919,782,679,359,374,168,909,290,506,692,927,388,144,256,663,764,546,166,
916,778,126,211,271,430,822,318,509,196,088,408,540,881,274,177,188,149,711,
556,656,359,824,249,885,795,312,939,696,282,857,051,772,817,320,500,349,556,
697,864,300,529,260,205,250,440,597,892,731,161,707,918,529,638,999,988,667,
534,915,229,388,644,161,791,420,989,191,399,560,824,958,856,774,136,361,061,
673,949,158,999,115,751,633,855,469,981,698,212,533,076,646,100,785,093,189,
523,786,390,203,905,132,342,471,215,291,995,554,381,173,695,725,995,437,579,
885,422,551,133,599,532,029,611,838,165,791,147,441,648,541,208,754,504,701,
819,001,334,809,481,733,267,837,558,753,160,716,754,531,465,273,621,686,150,
043,792,412,871,882,545,211,936,292,465,811,270,008,557,589,734,746,568,382,
665,992,000,600,742,125,860,495,527,866,956,341,321,765,718,061,970,325,358,
277,077,676,808,692,598,823,229,656,184,736,606,846,941,267,438,741,556,837,
868,415,719,444,440,265,648,997,190,190,814,572,371,208,487,581,847,154,321,
647,594,031,868,269,252,018,535,193,172,657,088,618,205,338,457,752,350,095,
708,424,856,391,946,602,754,454,355,211,017,409,954,718,276,523,616,131,798,
348,928,875,950,334,182,854,095,094,461,886,239,489,983,134,780,746,078,333,
309,885,773,545,561,950,718,439,759,980,824,796,274,761,660,224,876,757,398,
583,325,789,319,043,571,523,183,777,554,286,984,365,491,346,820,853,350,605,
071,658,398,754,165,343,143,171,972,706,772,321,536,236,790,692,627,175,067,
808,708,484,479,478,465,483,063,688,320,382,303,554,832,454,730,399,464,924,
100,133,079,972,834,354,450,655,440,879,366,456,881,442,295,232,600,859,986,
999,475,969,291,456,199,232,984,912,929,218,359,686,457,172,910,704,251,005,
608,684,488,407,345,617,793,438,104,053,478,817,222,152,245,645,394,027,422,
314,038,874,949,871,719,475,993,294,274,527,480,647,505,345,889,519,522,321,
110,706,693,777,611,306,278,039,033,737,174,310,709,194,442,116,264,004,820,
159,187,382,938,392,987,773,698,887,537,225,199,088,953,448,174,963,634,034,
529,271,455,627,286,807,575,061,670,573,017,907,574,242,960,576,561,024,759,
898,001,485,098,170,354,815,517,853,337,719,734,254,396,411,663,443,432,503,
593,554,786,544,548,847,260,543,805,305,184,311,884,186,373,833,899,758,629,
915,509,904,682,554,576,581,819,838,818,351,060,362,596,862,024,254,984,708,
724,707,888,674,383,799,437,042,280,324,670,507,707,837,334,088,241,352,373,
636,644,457,995,240,288,753,390,111,621,263,305,827,484,756,215,377,217,326,
003,903,925,158,620,557,810,875,103,306,966,424,934,485,226,914,199,006,925,
766,209,634,271,762,349,585,278,330,739,333,366,898,032,519,600,482,352,028,
594,250,696,267,012,449,383,380,626,781,501,164,097,461,654,999,875,431,279,
362,661,750,684,994,885,221,071,775,954,389,651,763,931,322,106,109,009,570,
803,316,883,948,012,024,211,012,867,119,162,901,400,776,800,005,580,320,126,
496,072,630,727,844,111,465,116,225,159,358,240,378,202,862,678,414,574,311,
919,055,850,263,311,193,279,171,706,319,305,291,287,431,597,179,181,332,652,
504,376,314,932,972,309,434,628,668,283,846,201,405,766,405,218,606,138,140,
298,489,615,212,613,561,428,671,397,544,740,496,363,483,032,735,342,278,291,
903,081,387,155,102,324,974,229,797,062,712,291,945,020,500,518,003,992,758,
547,075,572,541,201,677,224,030,603,791,023,293,011,907,646,676,754,717,833,
357,273,868,278,130,048,498,074,274,966,030,959,636,183,824,288,586,912,692,
148,354,615,624,665,843,096,457,294,185,829,120,196,158,186,432,081,305,851,
324,361,282,625,730,660,642,560,890,066,163,952,305,330,990,783,002,398,352,
039,424,575,109,113,762,820,458,237,899,820,455,039,721,728,391,554,396,727,
813,863,838,728,075,448,348,110,458,744,247,065,650,911,165,845,632,910,326,
370,188,981,427,159,886,869,178,116,820,277,852,854,523,129,562,136,686,625,
697,943,383,932,104,706,559,393,768,199,763,354,546,999,770,868,223,154,233,
751,103,395,187,232,394,369,383,904,920,528,926,194,639,443,595,279,887,518,
842,379,314,843,176,247,210,137,845,969,568,867,439,968,463,595,891,608,184,
021,389,127,880,676,756,418,538,091,218,985,468,290,029,942,204,503,558,874,
842,076,551,330,518,084,969,848,442,304,657,652,073,763,647,671,015,866,915,
732,357,760,086,340,951,440,716,765,341,642,142,106,284,700,469,997,988,395,
120,351,062,463,383,038,897,467,578,161,421,794,685,947,690,297,370,698,292,
200,281,392,373,246,501,812,643,620,508,023,669,052,833,957,858,406,767,276,
498,186,105,826,340,879,962,748,737,945,957,144,260,552,372,134,809,313,585,
725,143,767,447,859,578,989,488,682,672,186,017,850,221,826,519,845,539,882,
881,994,603,487,791,208,121,588,999,853,942,347,041,079,847,354,168,012,316,
506,980,583,468,905,483,557,871,237,399,275,547,868,361,532,666,761,841,511,
208,713,971,619,724,124,593,127,268,183,657,318,495,123,349,390,844,478,770,
702,965,742,150,620,783,876,468,861,642,193,573,127,543,036,446,100,849,521,
036,422,754,008,923,890,340,479,852,988,060,236,350,958,027,555,048,408,639,
596,412,019,494,102,833,408,114,522,680,856,893,164,902,456,098,201,723,570,
562,451,547,885,528,088,397,162,176,858,042,787,482,832,134,562,699,897,949,
784,679,272,594,442,821,570,899,725,620,034,596,591,195,895,191,156,981,263,
293,071,916,999,855,474,560,452,092,272,262,450,656,171,087,517,462,386,665,
010,201,181,498,158,450,442,442,681,440,284,858,454,829,378,077,203,143,456,
868,653,107,008,406,172,748,273,663,360,653,456,886,080,410,125,742,062,532,
437,697,643,483,121,472,310,425,841,358,615,717,123,885,051,860,837,246,904,
612,781,466,312,769,150,177,111,070,733,532,720,712,667,502,218,066,859,712,
252,761,905,320,072,555,286,887,383,025,021,064,852,411,004,915,096,561,811,
509,758,305,342,833,301,236,382,343,889,792,325,924,087,276,771,414,967,489,
652,820,471,744,336,668,862,250,433,345,908,036,468,374,940,518,491,889,276,
781,785,019,990,624,947,672,347,133,909,660,712,146,979,558,301,340,339,979,
497,629,304,348,428,208,039,952,682,658,619,656,914,340,048,532,854,015,514,
142,789,146,002,585,849,193,089,390,749,166,749,160,487,760,809,301,551,437,
570,615,584,385,149,226,829,554,371,727,482,950,135,895,284,949,618,494,772,
287,721,775,052,096,593,924,166,192,085,577,234,834,088,105,604,768,875,967,
263,008,484,538,226,393,748,834,297,286,731,675,411,605,680,250,747,143,401,
684,446,735,943,367,218,619,202,930,428,369,352,578,667,783,667,919,579,418,
315,617,032,328,841,202,661,516,893,184,912,808,822,199,308,863,882,901,028,
022,625,580,380,185,556,697,357,407,701,015,767,654,931,951,872,251,406,137,
791,515,603,189,950,362,214,225,840,761,766,681,081,592,370,990,003,216,976,
112,272,280,171,241,214,115,639,478,885,133,490,235,277,950,470,066,124,447,
980,708,837,778,231,331,323,554,288,795,691,870,416,746,262,220,966,814,717,
392,889,970,185,355,960,236,169,489,781,057,243,658,627,823,346,099,756,545,
944,470,842,081,574,055,915,325,050,773,840,816,398,982,884,022,717,734,674,
438,087,024,363,543,590,647,540,464,314,917,216,399,224,958,154,018,242,116,
757,585,730,026,598,295,327,354,955,483,253,696,600,740,832,099,321,356,314,
212,915,065,056,725,314,731,848,478,049,065,679,597,389,934,996,240,811,092,
532,465,659,459,039,326,802,644,213,328,066,459,066,885,974,626,364,937,131,
946,736,222,264,369,013,398,056,072,541,250,392,474,626,773,566,288,612,148,
285,496,738,408,516,122,280,015,504,931,570,581,981,560,688,199,957,584,798,
258,946,470,531,942,089,754,800,305,828,074,718,249,645,367,188,701,661,198,
071,058,867,079,706,015,261,473,358,645,347,460,786,739,691,270,839,231,483,
411,013,480,377,544,475,423,189,203,386,075,102,855,778,249,357,999,421,605,
772,505,155,618,462,991,551,051,635,199,465,724,182,542,722,474,708,393,473,
386,457,779,533,331,271,013,650,365,923,476,169,260,494,403,473,044,620,970,
952,915,448,491,285,052,474,370,139,954,532,273,140,818,010,040,083,512,204,
505,254,024,070,523,412,277,285,399,377,701,320,492,665,810,505,395,187,353,
182,589,648,882,067,302,545,555,001,198,322,998,426,982,827,085,533,119,545,
987,655,416,607,687,026,930,134,702,901,085,119,251,617,165,534,531,079,045,
830,789,114,482,757,156,669,045,006,849,482,248,489,141,517,635,347,615,581,
343,532,793,550,615,453,161,437,023,803,228,846,185,556,781,121,423,263,899,
417,201,458,383,868,429,938,710,058,460,173,179,699,687,141,151,754,291,568,
106,455,189,080,586,110,448,621,907,782,273,991,978,947,133,418,335,302,279,
565,568,812,790,876,455,588,696,021,094,445,292,688,879,955,262,951,111,603,
116,955,901,835,266,036,162,029,015,678,835,332,198,298,349,162,453,794,162,
427,408,538,971,330,937,269,651,031,788,347,550,308,618,055,112,758,367,632,
809,135,435,639,800,015,551,063,886,335,515,771,108,003,338,777,342,475,926,
702,695,888,042,806,704,379,155,387,747,616,610,316,534,886,493,110,966,861,
077,386,899,214,811,359,935,456,610,464,294,947,443,990,333,772,712,223,963,
865,918,410,844,076,095,740,040,450,030,685,152,117,833,639,570,233,664,747,
975,492,969,405,328,984,458,718,028,444,837,284,566,419,180,399,605,297,845,
488,519,953,505,763,161,534,204,605,751,698,112,492,774,420,052,558,609,318,
733,947,433,947,195,725,698,597,050,615,625,700,446,665,267,561,611,176,727,
435,403,766,888,304,147,761,680,955,659,863,288,746,704,665,566,036,622,344,
737,204,962,097,564,881,005,313,280,873,311,351,796,440,791,054,599,528,194,
621,634,689,614,680,821,098,118,161,442,367,066,409,169,442,502,538,383,118,
845,107,721,557,648,423,471,492,919,162,721,759,877,542,038,600,439,484,260,
394,145,031,840,860,674,799,313,528,972,398,184,162,878,045,338,699,811,292,
139,410,855,321,576,410,986,751,012,521,091,544,852,781,108,749,531,960,235,
399,118,448,550,199,874,403,845,206,865,275,256,824,981,982,004,613,766,775,
385,339,720,547,677,122,056,349,449,630,679,753,854,445,751,527,998,356,975,
010,901,137,167,548,828,491,666,963,422,561,046,716,069,023,958,995,799,861,
494,110,583,003,932,108,863,002,795,740,369,088,935,992,189,973,083,177,771,
354,759,568,943,306,361,606,225,378,034,062,576,306,518,886,173,469,001,086,
452,971,448,574,804,994,821,976,165,645,080,350,439,734,981,241,335,754,784,
672,881,199,697,182,866,601,798,695,656,876,284,016,568,879,877,797,380,347,
828,933,689,052,242,116,553,519,705,523,104,986,271,105,264,859,564,658,987,
735,594,622,715,004,926,977,618,744,067,340,653,434,522,745,525,411,557,161,
452,356,939,932,584,105,380,930,927,166,113,337,631,803,577,199,191,555,483,
283,418,063,694,769,516,537,424,920,209,057,764,421,568,936,842,834,952,790,
218,001,416,716,891,835,635,687,998,762,262,454,802,327,124,094,575,537,281,
722,896,689,030,688,850,288,508,421,215,989,039,043,802,268,725,072,098,261,
519,300,734,460,783,576,658,779,966,294,119,625,123,984,363,752,320,058,033,
128,176,798,702,035,851,975,055,922,013,617,734,272,070,578,128,716,805,020,
485,913,104,739,127,952,021,995,271,169,390,962,055,157,167,195,493,672,261,
216,928,408,239,312,040,199,524,608,449,394,658,857,368,131,168,692,866,383,
731,675,487,855,139,340,531,021,787,898,174,825,674,136,151,534,491,385,136,
153,084,928,334,293,165,830,716,025,973,247,824,781,420,108,065,399,084,613,
526,219,174,814,720,004,560,081,057,839,490,648,970,133,910,304,466,232,647,
672,585,975,782,260,274,567,797,184,976,627,113,388,363,621,929,107,717,469,
833,758,394,024,902,288,915,773,468,622,553,285,499,877,351,842,068,626,470,
349,044,743,468,498,927,602,590,150,687,999,794,486,304,473,037,193,855,226,
882,504,806,167,440,391,254,126,164,930,282,582,492,905,846,314,462,892,547,
660,868,978,117,802,493,992,653,075,438,608,795,866,285,204,060,116,237,986,
245,930,533,838,010,491,628,171,644,635,210,830,115,059,633,906,729,884,459,
801,728,069,430,763,768,261,800,473,583,910,953,707,192,284,334,635,158,171,
776,040,947,687,851,122,333,434,238,972,217,636,972,999,108,424,046,658,418,
882,132,049,464,753,640,352,507,711,466,318,722,683,092,189,272,521,470,554,
712,600,935,502,394,130,301,179,257,952,093,011,416,155,225,340,231,388,913,
392,382,898,471,599,211,048,758,129,632,968,054,132,355,599,829,536,128,913,
563,334,791,107,537,861,328,306,651,643,495,916,042,537,528,311,482,037,352,
653,550,424,857,066,801,534,669,506,881,308,426,376,736,011,403,416,490,500,
441,491,206,591,003,675,905,626,474,150,981,832,934,768,272,691,325,497,635,
635,738,446,222,247,806,020,643,879,537,525,578,615,942,514,390,221,117,542,
665,260,561,321,811,019,003,356,011,486,603,229,013,792,143,398,495,521,117,
693,404,963,041,651,169,930,760,242,899,017,224,856,872,180,261,370,631,822,
671,365,703,114,046,968,860,634,976,901,789,288,175,302,602,226,370,124,519,
245,578,245,910,540,184,401,594,758,258,666,966,155,684,791,306,709,312,754,
045,878,509,210,233,900,376,311,543,314,449,570,306,780,419,298,000,658,833,
259,761,444,369,370,305,208,039,503,610,626,586,839,320,335,308,650,045,173,
465,218,164,322,520,439,970,162,911,208,905,519,101,450,356,654,390,429,349,
467,321,585,926,225,013,436,441,267,857,912,224,980,818,276,017,579,288,230,
542,587,972,951,107,379,395,875,160,971,100,035,627,341,907,311,333,265,798,
083,334,663,686,542,812,118,587,571,138,728,308,754,211,337,360,847,548,619,
808,838,802,002,734,548,312,363,219,926,809,278,790,075,363,446,505,740,985,
452,907,416,896,347,584,404,870,902,401,235,791,804,224,270,359,566,764,524,
595,960,643,560,949,391,629,992,775,271,683,898,981,384,565,434,787,958,624,
215,329,328,423,357,403,977,922,276,153,547,724,339,549,301,540,833,346,168,
053,214,445,278,159,430,388,153,649,518,523,387,851,424,108,647,429,147,280,
962,222,466,779,833,615,161,064,389,745,258,181,710,628,099,950,509,611,588,
989,559,601,117,863,985,113,001,983,941,373,609,614,219,975,238,163,396,510,
212,549,608,759,295,493,113,929,846,218,170,136,811,467,474,734,333,190,780,
888,739,875,670,876,632,253,259,168,566,132,004,083,751,252,076,670,680,284,
821,116,937,982,473,667,668,814,079,822,220,050,014,629,594,037,264,353,995,
165,148,690,893,716,532,544,410,336,221,516,579,541,542,136,089,527,044,391,
129,710,695,042,089,321,886,134,895,620,275,311,690,171,230,099,769,937,411,
990,366,701,366,787,304,374,539,258,528,893,276,192,851,729,727,109,947,573,
942,142,257,838,404,257,226,873,952,889,312,458,176,263,933,193,578,970,320,
931,562,069,486,300,238,741,767,525,277,340,128,553,910,045,572,968,212,279,
919,256,512,148,816,656,826,204,600,730,408,494,296,766,792,351,892,879,538,
722,190,509,934,861,972,700,523,180,393,470,731,802,970,299,372,757,643,823,
999,309,986,680,074,470,616,751,197,032,095,507,759,988,351,801,385,923,218,
847,694,951,524,331,495,939,044,610,890,658,271,582,537,475,338,401,149,526,
502,326,752,839,977,372,497,258,447,201,877,726,564,207,028,899,983,597,630,
515,067,936,371,528,559,720,566,385,444,384,145,718,818,473,253,277,645,595,
094,032,776,284,014,392,975,043,400,554,899,203,035,527,874,930,882,342,920,
821,902,720,499,003,705,353,174,222,315,179,741,570,190,676,567,247,452,732,
656,552,445,599,189,017,700,153,734,746,637,873,894,110,904,317,379,239,353,
611,564,753,416,230,874,461,912,935,299,147,989,794,779,790,368,015,444,617,
745,533,781,405,343,504,226,820,792,967,668,626,306,873,516,946,630,901,875,
174,001,163,014,964,906,356,988,221,262,509,556,788,890,645,332,064,938,655,
945,792,241,539,089,212,614,009,559,666,348,466,646,066,860,045,511,238,397,
851,064,393,321,968,550,605,158,847,072,566,143,530,681,755,887,207,306,604,
399,255,863,219,219,308,112,388,167,759,112,466,999,073,715,710,351,509,614,
352,425,160,320,891,726,067,452,500,495,376,977,836,953,799,282,699,892,892,
347,034,183,023,475,006,189,133,454,903,537,694,899,761,953,765,933,659,151,
004,868,724,364,194,385,200,386,204,549,602,093,324,096,523,770,450,520,238,
923,674,363,219,193,895,246,301,021,397,699,517,045,567,035,584,921,397,369,
371,858,897,093,851,394,858,628,626,946,729,653,462,575,960,695,400,370,440,
756,512,591,430,214,694,976,811,109,564,759,574,044,818,847,862,395,517,318,
082,328,877,948,764,181,398,523,171,924,970,246,991,813,914,512,626,081,882,
901,470,112,697,899,330,021,551,752,676,214,121,363,012,395,916,699,295,697,
554,792,486,263,721,792,360,326,502,730,328,932,752,948,037,727,130,238,588,
933,013,049,197,458,161,592,893,281,578,748,595,404,790,575,542,540,769,271,
138,724,449,796,246,670,798,972,086,322,843,826,510,731,340,119,830,385,291,
311,986,594,085,290,866,683,940,463,864,283,162,014,458,708,771,603,829,252,
317,621,159,056,724,236,482,368,562,787,906,638,906,057,166,033,510,158,768,
175,993,573,679,277,028,839,810,911,643,876,493,902,311,543,836,560,574,140,
270,826,920,607,839,650,448,475,079,465,106,853,916,655,622,969,099,513,182,
770,311,284,952,499,655,054,147,081,165,331,086,480,711,232,240,193,049,295,
746,500,574,990,131,467,106,084,411,510,666,763,967,965,699,399,727,736,946,
787,298,578,601,110,410,560,175,076,086,266,260,065,038,131,388,140,061,608,
132,902,344,172,356,693,628,177,252,293,821,186,356,459,888,557,794,164,301,
490,786,482,726,985,438,172,379,661,232,663,543,565,752,821,913,804,566,547,
508,527,782,370,618,241,710,782,410,591,002,805,759,104,349,992,644,136,585,
551,151,298,394,404,113,404,584,130,676,823,210,119,646,243,490,159,911,621,
126,236,408,027,227,556,452,300,416,165,590,899,320,904,331,708,565,903,172,
898,668,521,323,522,811,570,435,912,482,179,724,137,126,911,043,354,140,220,
768,429,942,330,619,235,462,480,204,098,277,819,038,699,762,132,506,356,319,
769,265,684,924,097,513,361,591,703,687,077,652,562,245,470,624,890,073,071,
347,006,476,245,253,370,592,147,310,453,462,272,482,950,172,097,265,737,317,
272,914,690,048,233,226,817,708,430,049,925,978,077,354,900,612,913,010,892,
087,247,493,629,131,050,060,836,840,666,837,290,905,900,596,257,304,923,359,
513,159,418,768,757,234,512,656,868,315,668,113,717,123,912,278,893,169,532,
431,536,484,821,845,766,657,337,883,225,124,694,563,098,060,590,671,285,443,
098,256,770,279,625,918,514,011,996,845,449,479,976,401,582,305,703,561,562,
658,950,626,999,219,587,762,316,452,230,681,636,860,306,547,925,943,907,194,
646,687,495,535,264,939,083,560,074,667,194,549,324,398,009,841,679,814,243,
350,265,693,718,016,145,759,537,628,285,747,111,932,810,382,239,237,657,540,
054,001,208,623,620,043,439,883,878,827,108,908,838,008,202,501,442,914,148,
337,032,572,440,836,871,728,919,923,768,207,232,425,205,853,206,483,128,155,
375,364,648,469,360,040,762,742,230,435,508,135,057,121,594,855,307,777,353,
652,808,014,093,987,466,350,599,527,984,548,397,393,700,032,626,360,794,099,
553,536,475,933,345,696,390,601,624,939,290,899,142,629,360,164,674,173,001,
183,903,476,243,854,482,176,556,410,628,043,826,050,441,002,710,637,973,007,
186,199,701,988,117,551,589,343,588,744,286,940,460,311,757,475,848,592,680,
283,133,266,652,598,832,774,453,922,741,545,129,259,409,211,113,430,124,221,
407,875,005,059,395,374,248,423,425,567,689,859,859,777,066,155,877,807,619,
605,369,396,897,597,718,097,709,487,122,943,807,421,317,962,441,135,707,174,
059,995,950,806,772,999,856,010,060,465,410,053,550,884,982,367,500,326,373,
513,413,051,697,483,404,223,010,646,566,655,083,258,210,781,009,969,358,751,
139,268,500,414,529,503,465,283,276,790,022,497,531,451,479,004,104,923,331,
741,605,032,275,662,588,740,530,634,189,853,032,346,187,077,741,035,969,938,
781,711,117,557,965,450,535,386,625,754,407,660,601,979,836,471,445,997,605,
789,549,295,827,408,699,779,560,306,117,382,687,485,703,159,762,205,526,833,
547,500,223,536,208,774,381,577,370,888,603,999,595,704,481,039,684,601,898,
253,541,745,519,019,256,892,697,170,490,746,570,205,450,377,470,046,412,020,
787,819,812,812,812,771,264,463,918,584,944,132,796,250,899,495,783,955,846,
789,237,294,797,078,775,929,430,419,666,547,473,170,967,917,028,509,659,392,
672,263,451,185,128,156,343,847,363,865,752,985,471,180,953,348,411,469,613,
976,126,893,694,875,188,090,042,287,367,180,090,806,878,710,582,251,362,580,
423,709,748,181,705,687,717,111,346,549,115,058,332,585,232,271,019,142,282,
109,029,239,360,085,207,470,019,982,794,271,036,004,546,220,029,221,120,078,
244,104,056,807,362,661,705,391,894,016,103,443,395,472,760,094,901,219,089,
915,435,996,592,796,936,185,583,984,885,142,932,806,912,077,298,067,233,518,
251,878,900,733,431,564,499,485,967,548,169,433,340,985,325,223,782,427,164,
970,663,588,275,376,050,569,429,429,435,677,844,970,585,008,896,828,920,797,
699,048,812,683,980,113,012,440,380,648,614,410,660,813,239,760,623,747,583,
847,583,299,360,745,269,476,186,562,035,008,853,986,902,445,756,603,434,264,
974,959,612,611,033,850,652,800,416,488,418,483,900,545,795,838,626,630,995,
058,286,581,639,843,881,840,194,299,357,251,222,155,497,705,446,758,253,807,
649,610,689,277,993,106,768,136,005,174,001,460,861,294,505,681,204,899,984,
598,708,957,593,154,011,048,307,043,429,851,435,136,440,263,814,209,828,159,
470,608,744,808,892,907,176,565,443,810,109,164,259,967,470,450,487,704,979,
343,957,013,787,290,567,412,881,606,588,362,732,949,562,766,634,799,447,297,
444,513,082,721,241,257,093,784,761,797,793,517,484,551,604,949,910,240,533,
608,526,055,785,181,185,181,738,248,894,675,411,986,155,174,344,670,564,601,
493,028,022,942,030,062,051,916,811,856,477,229,061,336,121,886,268,246,425,
287,206,024,428,823,699,412,129,341,163,749,696,459,945,372,288,845,117,748,
538,577,473,102,371,852,543,502,700,041,785,737,541,103,970,498,601,794,169,
864,448,726,940,531,561,868,399,515,814,738,217,758,414,534,432,539,821,705,
888,024,391,062,587,511,057,807,188,944,275,630,496,098,123,870,751,916,456,
773,414,335,873,615,549,161,652,693,141,287,930,120,066,499,291,466,246,210,
815,212,079,352,171,453,433,673,004,523,078,355,974,444,598,639,800,806,328,
203,430,962,325,485,213,116,842,496,256,489,220,480,072,438,202,691,390,419,
507,988,784,378,041,462,800,385,946,700,209,232,558,712,140,258,205,183,985,
586,160,370,284,042,364,865,685,128,278,452,145,256,131,757,774,388,686,405,
722,036,259,700,395,300,219,314,643,723,667,039,448,084,569,840,451,557,832,
615,797,232,678,609,734,929,775,710,749,430,405,692,484,169,557,757,857,228,
669,250,541,414,849,004,106,717,844,371,352,117,911,877,128,876,170,427,971,
643,841,192,956,018,017,740,636,693,375,572,613,580,932,141,704,112,556,464,
246,448,115,507,604,207,563,196,759,688,767,226,902,232,090,529,053,056,329,
008,838,493,385,303,803,420,811,893,630,672,225,199,561,500,604,773,757,453,
116,946,710,800,170,481,750,968,180,154,956,803,156,703,493,318,464,440,007,
748,304,654,814,677,763,075,196,504,326,181,420,916,558,885,874,734,096,319,
560,244,162,707,844,374,604,612,608,511,710,601,407,717,765,767,188,347,709,
803,147,628,657,317,171,427,520,487,615,682,931,612,703,563,017,946,316,542,
289,227,694,633,726,130,357,433,569,011,664,760,144,852,999,704,535,438,766,
281,135,343,137,017,660,302,010,203,714,909,437,697,659,792,573,636,953,778,
687,508,007,541,368,472,888,319,291,925,125,737,048,176,295,305,359,711,876,
812,604,995,931,893,098,431,702,009,745,010,825,190,384,186,951,547,620,571,
673,526,455,143,920,648,900,696,562,595,330,090,046,840,399,300,423,049,915,
722,285,037,691,574,187,892,830,432,186,000,057,532,667,468,693,838,260,815,
243,483,136,242,360,230,355,278,663,449,910,681,146,135,962,052,526,093,946,
851,044,254,799,086,440,341,087,308,171,779,289,615,940,623,970,662,295,644,
255,137,314,628,212,973,193,970,283,437,556,189,292,205,080,944,480,840,986,
147,634,688,515,956,290,711,921,408,742,136,875,360,525,208,542,547,157,105,
752,229,455,894,375,001,057,437,690,806,554,223,935,406,389,230,179,852,441,
716,287,239,537,205,922,458,515,285,614,391,121,137,517,833,455,031,854,544,
589,223,520,070,104,961,088,893,891,098,058,657,060,362,781,759,284,393,209,
458,012,811,141,471,869,348,277,255,939,108,997,316,180,664,130,113,284,877,
518,288,835,516,693,937,360,832,593,709,060,972,040,365,989,399,958,165,581,
319,329,780,917,167,048,800,921,093,509,041,804,014,985,373,088,038,850,024,
886,121,221,903,903,095,167,983,747,334,295,787,248,504,346,546,582,907,750,
389,513,489,746,103,737,609,492,250,471,047,729,877,145,142,379,280,242,653,
473,876,693,335,159,554,123,349,650,097,082,805,335,071,834,823,899,680,486,
755,229,148,457,454,663,618,628,204,315,273,429,653,646,321,821,181,361,794,
450,435,628,753,036,077,356,014,081,838,639,222,528,766,810,384,290,419,099,
214,362,091,766,618,160,892,464,949,628,372,595,871,287,935,770,668,976,378,
860,898,334,658,400,035,100,866,640,043,053,355,210,944,095,320,137,359,244,
889,002,717,295,923,367,360,567,440,226,519,322,902,026,131,906,731,069,762,
185,141,080,038,262,239,374,880,488,194,650,305,710,987,587,043,115,017,275,
105,087,940,744,293,984,695,604,788,125,512,543,336,332,718,263,636,674,455,
066,659,182,152,698,777,231,995,205,638,396,473,769,625,172,603,664,616,727,
437,772,274,422,327,047,971,361,045,274,790,473,849,212,655,965,599,954,167,
365,674,923,453,536,632,735,607,810,016,198,194,885,760,772,283,041,919,845,
648,973,742,570,486,534,592,737,791,501,011,552,677,080,956,732,855,869,813,
336,989,278,176,159,461,470,115,471,476,213,008,342,888,942,906,523,643,679,
838,049,214,300,255,564,685,946,560,639,998,144,463,946,301,094,477,169,972,
698,302,719,095,310,700,157,821,105,997,303,055,400,778,315,962,268,965,696,
632,755,742,173,069,638,444,328,322,423,607,112,797,322,730,269,738,123,122,
498,123,062,016,589,034,051,732,650,426,715,987,028,929,556,119,063,160,562,
705,932,157,770,941,623,293,997,260,601,387,886,480,798,515,571,588,240,967,
687,144,188,713,535,073,893,098,847,245,519,965,906,178,859,061,548,903,434,
571,457,298,205,727,691,630,327,538,877,834,780,402,213,936,118,509,494,171,
543,865,374,324,596,883,297,528,511,038,881,552,481,617,934,688,293,030,128,
477,259,286,874,084,906,780,797,865,394,347,757,261,612,887,913,199,744,451,
129,006,045,374,459,523,671,179,920,796,050,609,416,662,208,303,827,465,781,
885,218,352,302,767,997,046,019,387,306,036,284,227,899,713,050,815,098,760,
022,832,823,449,024,324,654,803,860,493,344,466,859,559,855,689,245,180,900,
098,256,381,382,678,876,290,746,297,172,061,177,190,174,330,463,586,930,486,
618,028,000,283,382,839,078,978,509,853,562,645,478,986,044,310,734,972,051,
510,950,484,766,656,166,231,080,222,463,754,075,368,588,955,488,588,502,782,
247,740,984,831,673,992,955,396,695,954,700,723,514,589,998,568,496,770,943,
129,420,012,390,247,817,293,636,521,170,264,749,068,139,324,592,289,311,926,
774,528,743,461,440,666,191,071,957,983,072,558,166,335,767,695,133,435,143,
354,819,571,589,125,090,346,818,084,884,862,881,428,642,684,603,992,384,609,
101,761,018,693,709,635,004,255,381,423,142,084,513,659,578,368,187,861,752,
057,446,397,108,368,217,205,133,043,726,667,458,714,528,174,997,497,104,119,
352,836,729,349,543,003,068,210,800,425,889,302,578,044,101,270,966,377,775,
481,185,437,748,359,174,358,510,093,824,818,171,800,514,345,051,864,855,267,
890,678,952,820,570,929,179,988,137,115,790,254,271,404,869,988,079,160,974,
640,299,065,185,980,175,177,111,913,602,055,730,050,146,846,624,173,926,230,
398,406,960,164,779,459,563,006,441,281,069,022,517,916,960,819,214,096,933,
683,957,052,699,670,015,066,961,956,498,584,742,121,115,100,687,088,415,922,
823,706,635,647,525,388,469,443,869,284,479,834,384,103,720,249,066,135,392,
849,643,517,064,615,166,808,441,458,578,263,792,985,583,915,754,105,827,397,
425,882,807,761,973,689,447,660,401,295,974,160,278,953,913,738,211,619,573,
407,314,512,073,245,374,091,150,402,417,829,007,567,664,998,309,959,184,400,
148,476,576,774,107,572,394,961,863,369,212,532,301,602,635,652,635,668,662,
708,807,540,817,813,720,360,991,944,937,200,083,373,301,801,354,352,257,140,
322,073,512,440,605,268,540,013,503,867,026,539,085,542,211,838,366,958,469,
224,516,003,893,720,540,548,331,473,697,406,818,402,733,001,886,462,783,416,
073,348,184,339,048,982,240,547,571,775,618,751,968,602,950,783,950,543,243,
363,009,511,814,400,103,592,214,998,997,164,683,003,918,563,957,273,382,073,
127,503,420,805,451,938,636,982,200,377,685,635,345,321,719,602,779,928,113,
176,772,367,575,075,030,258,885,296,001,849,633,805,319,319,838,600,529,270,
101,295,495,747,472,084,484,103,854,973,134,003,614,751,473,864,238,114,756,
076,952,256,702,852,665,232,747,143,619,477,293,566,284,709,717,634,829,150,
052,176,904,760,832,238,131,892,987,539,468,081,482,941,466,301,786,930,723,
673,181,080,515,371,255,077,573,813,372,771,076,701,600,973,112,340,877,084,
591,216,321,137,226,035,133,222,946,104,343,989,386,810,476,705,103,724,490,
128,853,584,329,856,430,186,071,111,317,861,174,965,445,695,474,032,500,248,
381,971,067,844,891,121,492,830,320,477,144,106,615,635,590,068,939,792,421,
996,373,194,760,175,291,235,245,257,259,309,801,201,466,326,257,613,788,880,
434,692,390,118,715,562,516,416,857,716,300,322,239,696,095,294,644,510,844,
922,534,828,620,455,839,398,058,883,459,310,325,130,543,636,847,349,541,071,
975,243,231,468,497,103,000,616,081,360,342,786,388,870,636,741,375,487,703,
443,139,866,102,194,544,039,583,717,422,708,424,727,135,854,263,847,952,059,
271,084,592,189,660,008,170,163,512,008,036,775,113,840,399,615,220,610,550,
664,525,461,604,360,886,852,272,567,195,775,100,862,037,993,127,486,701,995,
943,402,171,789,358,040,746,121,398,327,273,157,952,955,367,063,677,601,701,
073,713,064,091,084,136,015,410,124,046,231,570,272,627,499,258,634,497,042,
027,002,112,999,170,390,049,817,602,477,806,837,033,084,399,432,279,434,012,
430,217,407,914,655,853,272,294,591,846,116,281,436,716,539,204,271,198,266,
854,110,663,478,722,085,267,732,709,526,627,720,207,732,688,361,820,059,344,
355,221,952,657,349,036,443,034,386,736,834,235,069,846,387,373,633,340,162,
163,398,139,324,482,709,915,155,983,195,378,153,686,657,644,578,266,493,279,
050,637,101,029,036,441,523,727,834,195,571,722,075,409,028,843,698,943,407,
546,223,246,145,919,014,151,677,879,735,705,727,915,534,060,237,579,543,084,
745,550,194,665,200,070,129,646,708,682,288,119,947,613,049,785,110,524,101,
298,320,117,254,445,175,303,803,393,509,220,414,953,473,512,830,755,277,696,
786,895,661,600,648,778,305,972,072,144,768,879,671,358,717,846,283,926,186,
378,524,822,612,874,674,314,797,317,681,714,667,020,797,904,129,827,795,923,
845,627,395,103,598,426,727,024,351,896,701,005,519,033,525,646,698,742,121,
095,081,215,456,500,790,511,377,451,182,217,529,057,469,548,248,424,850,251,
025,759,776,878,717,675,455,811,439,333,860,201,887,860,317,823,860,382,686,
900,345,662,603,204,862,081,037,333,746,256,786,025,019,627,400,621,354,929,
340,123,332,127,340,542,749,271,815,255,171,421,591,311,875,794,638,001,421,
824,093,608,101,283,657,115,338,659,363,921,195,026,593,958,880,975,330,869,
691,822,833,221,002,650,552,920,447,212,192,236,869,831,614,922,824,651,877,
012,661,863,161,861,698,578,399,912,892,598,401,693,437,428,952,516,837,840,
695,895,246,402,425,273,416,998,593,302,635,571,502,801,563,785,332,257,291,
889,810,761,604,376,815,775,058,645,398,281,983,957,186,611,437,832,360,586,
673,773,002,626,829,188,786,699,442,371,333,822,423,621,780,111,703,812,097,
300,543,801,090,178,671,048,850,493,005,365,210,132,899,087,968,740,913,349,
761,668,118,965,192,396,734,987,294,280,979,036,497,658,664,691,710,579,943,
276,226,062,620,428,788,680,038,307,807,277,156,229,766,215,927,099,748,945,
847,430,320,159,490,854,226,888,945,495,732,600,278,371,155,248,201,165,847,
363,431,804,220,943,200,632,923,997,244,945,728,978,707,041,006,516,056,507,
301,229,766,495,511,706,593,323,244,389,546,320,972,974,032,210,269,967,945,
846,835,050,315,060,092,483,116,223,680,841,170,918,650,894,425,659,012,606,
470,582,385,110,748,557,155,398,720,823,870,783,528,602,184,556,455,552,458,
721,033,686,327,415,402,037,832,129,989,451,684,882,863,758,928,487,105,594,
878,724,527,667,461,307,672,135,047,226,063,959,445,080,161,937,381,968,043,
198,602,602,076,028,725,842,932,176,337,520,043,858,079,216,725,611,384,319,
392,448,048,755,539,853,073,615,158,935,494,019,606,840,145,539,511,505,203,
190,871,712,572,191,664,889,698,014,141,154,768,657,032,244,328,096,729,986,
040,146,738,847,650,440,132,107,228,806,415,488,246,552,966,526,683,154,976,
358,299,792,240,113,135,464,317,209,647,750,859,422,049,385,717,394,708,063,
838,363,783,150,907,729,288,176,967,536,505,696,176,031,235,922,300,909,328,
271,881,969,547,227,320,797,187,566,191,529,109,037,252,526,902,638,123,806,
230,853,324,758,278,389,217,129,893,216,271,881,867,551,800,570,261,095,910,
541,587,442,280,663,824,864,844,456,516,759,347,861,963,940,602,934,690,529,
169,496,724,792,352,072,278,270,065,380,346,761,920,118,078,674,531,803,097,
439,509,488,514,835,628,686,902,988,353,143,138,885,190,076,122,317,829,514,
515,881,259,788,588,990,681,132,341,387,494,031,550,735,414,983,649,479,385,
073,067,875,465,166,250,785,402,414,406,690,984,180,464,398,345,929,756,381,
513,996,915,469,146,961,314,763,549,047,599,599,862,831,529,211,840,902,442,
686,172,867,905,275,656,672,883,481,028,073,608,945,641,683,615,212,970,733,
031,308,607,969,019,823,111,094,722,287,292,601,478,632,107,980,913,138,197,
217,575,593,884,873,055,634,271,140,451,881,515,537,439,805,293,027,655,129,
530,588,441,725,229,836,824,711,412,175,340,476,942,229,867,167,496,100,718,
143,773,426,005,591,890,136,160,139,721,392,651,306,024,997,038,373,786,904,
563,393,565,653,454,300,553,831,586,455,151,568,110,470,122,538,322,813,884,
215,498,245,759,317,991,554,785,914,572,693,302,123,310,376,001,558,743,675,
880,911,674,182,202,288,013,026,321,760,200,538,148,360,154,011,547,968,283,
815,205,986,337,535,940,404,356,024,225,960,040,059,654,157,127,199,708,024,
667,007,926,169,766,783,653,638,028,876,929,266,807,540,590,478,244,158,323,
641,029,573,411,732,452,200,217,779,428,676,481,751,151,015,708,521,585,976,
208,685,565,152,686,569,077,948,618,186,796,958,562,541,169,252,900,242,501,
176,559,488,719,593,506,307,100,785,443,772,781,352,270,502,178,311,645,430,
248,905,716,188,791,489,293,994,491,087,311,635,332,982,999,321,762,636,406,
776,166,794,038,060,901,079,378,784,815,265,836,374,895,826,114,824,267,460,
702,397,216,287,835,244,971,848,618,860,230,179,489,436,932,531,597,365,137,
411,722,919,878,392,420,485,904,188,796,401,984,181,786,613,731,129,403,743,
684,711,290,891,732,263,687,617,150,774,660,728,287,452,211,066,911,895,567,
975,204,373,701,247,863,760,034,515,367,304,827,100,523,474,740,998,398,100,
898,242,082,160,978,581,397,691,947,052,822,981,667,988,713,806,174,568,938,
862,622,835,199,932,639,479,268,333,514,277,178,974,093,509,907,282,555,442,
416,450,193,221,257,479,546,136,247,049,112,006,675,109,088,045,743,433,482,
198,748,695,746,930,990,646,140,802,707,608,630,234,703,738,481,915,340,500,
302,144,388,267,311,856,895,902,222,158,082,066,358,354,837,499,408,650,803,
795,215,122,546,035,712,163,371,710,598,927,944,132,870,639,735,390,273,342,
808,084,577,512,306,643,108,824,963,509,479,915,177,971,648,466,568,501,602,
256,759,944,577,968,903,569,665,862,723,192,772,838,979,045,885,583,587,673,
344,422,728,166,575,026,789,831,682,940,247,256,892,669,161,960,097,688,451,
767,104,337,834,476,909,481,024,329,717,166,828,959,787,478,813,272,749,403,
669,126,139,628,983,297,533,891,499,687,651,876,414,153,370,741,119,174,929,
279,792,813,389,141,025,755,720,683,295,535,663,780,590,853,582,683,940,066,
310,458,267,392,529,472,208,927,384,000,633,695,803,290,514,541,184,253,479,
364,171,055,734,795,764,241,791,421,119,145,496,401,795,998,272,698,992,290,
680,980,924,988,460,793,121,000,850,575,717,007,114,389,738,960,370,496,268,
878,229,090,761,533,490,657,943,324,413,611,731,186,040,719,417,711,061,918,
600,028,577,435,937,816,745,277,219,266,295,420,176,081,424,154,876,469,350,
386,406,365,941,072,392,387,151,458,397,478,197,238,001,642,285,288,583,568,
448,959,693,712,598,029,778,855,230,318,972,074,861,674,201,726,275,360,784,
963,701,628,831,721,040,726,626,065,572,629,157,290,641,896,824,098,228,756,
303,243,083,693,664,951,667,963,289,074,215,636,826,854,802,836,581,476,579,
238,786,125,854,867,178,099,478,660,526,623,721,060,789,955,389,218,227,907,
432,198,503,315,357,052,636,210,112,260,585,281,725,163,596,686,640,632,804,
402,100,092,488,596,418,403,405,540,815,293,254,073,886,838,605,346,727,113,
791,048,290,381,559,865,755,461,546,591,547,399,092,283,678,474,426,255,596,
106,448,178,649,688,764,991,657,346,566,564,442,725,878,271,186,816,156,765,
461,749,281,376,088,548,965,796,000,708,726,461,686,974,783,614,282,221,968,
688,989,589,660,893,238,764,767,108,320,738,865,862,133,984,526,714,448,804,
721,524,907,975,197,933,357,775,632,301,025,101,558,561,413,032,343,608,332,
145,646,554,195,863,630,441,227,212,229,619,682,828,701,678,819,633,960,101,
428,265,207,524,315,498,482,604,175,271,205,037,449,447,883,951,252,065,992,
986,408,614,688,462,997,846,690,274,678,175,448,908,778,469,488,757,352,303,
911,133,508,888,916,822,814,961,653,623,349,481,661,222,596,797,982,447,977,
739,885,313,391,416,446,071,646,790,424,487,316,369,133,036,757,250,444,253,
346,188,931,288,822,034,027,455,176,528,827,656,273,645,549,706,909,942,249,
717,226,620,701,118,603,225,973,227,158,132,054,484,083,361,144,232,473,463,
223,371,408,238,551,511,588,742,327,550,096,104,727,106,391,513,960,082,965,
630,059,137,111,215,603,308,319,906,382,318,745,643,837,884,925,355,101,816,
585,768,729,004,615,761,482,086,018,013,961,493,020,511,972,064,502,354,553,
137,065,014,782,687,079,803,627,588,122,736,000,169,439,255,767,841,768,154,
324,587,199,622,356,761,676,381,580,336,012,511,735,913,815,657,649,766,538,
802,655,777,216,793,604,138,516,073,258,707,500,827,163,675,562,726,049,134,
885,548,577,892,365,124,511,968,814,672,238,127,122,553,126,395,128,839,918,
198,498,787,558,831,768,810,173,603,264,377,073,519,414,276,028,535,862,455,
714,347,467,618,110,473,363,315,072,740,518,004,858,732,281,010,731,423,697,
924,841,447,446,820,687,303,179,956,581,832,853,880,320,422,991,656,860,861,
703,009,712,651,846,292,408,792,326,054,725,071,100,233,372,467,134,413,470,
178,038,518,975,428,188,743,330,510,817,566,854,634,916,117,200,540,729,658,
366,686,145,059,379,665,090,615,967,172,505,109,000,036,211,100,142,197,399,
954,473,964,410,887,323,791,595,835,407,325,577,607,541,243,584,594,785,612,
036,972,089,019,267,679,823,093,332,740,877,928,546,907,594,237,866,657,859,
754,313,087,280,565,243,937,876,889,282,413,287,758,421,782,053,586,578,289,
969,159,151,612,378,963,091,023,812,621,353,988,791,658,944,652,584,413,386,
878,237,498,815,298,882,401,939,982,740,161,185,993,085,240,058,250,657,834,
546,076,682,988,693,530,286,883,190,110,929,170,716,825,698,008,907,761,453,
199,950,776,409,725,961,913,221,356,076,561,764,371,961,728,350,759,754,676,
316,109,804,494,299,910,688,229,650,679,474,551,824,234,875,135,106,098,396,
049,636,548,531,426,253,176,207,364,040,551,071,585,003,681,896,054,791,716,
945,243,316,591,001,749,448,775,476,234,118,633,835,705,320,827,047,629,234,
573,807,969,646,772,139,963,394,415,897,626,317,908,468,893,924,639,059,975,
938,958,059,894,963,228,968,084,627,467,536,815,316,831,037,679,355,512,222,
456,061,327,377,597,090,118,706,598,170,969,479,297,994,866,225,711,333,336,
083,418,125,975,989,824,622,534,581,532,847,847,053,047,631,288,840,516,738,
132,645,223,266,397,041,692,161,801,563,165,349,788,744,411,021,534,145,233,
640,453,059,761,503,051,636,953,935,879,444,192,143,091,314,493,300,748,285,
658,280,134,437,725,211,010,888,570,518,961,701,310,640,505,547,425,948,784,
373,312,984,013,709,723,035,369,765,813,406,920,261,470,824,988,928,695,992,
280,280,827,862,042,873,629,844,764,433,589,538,443,044,895,452,938,038,468,
417,961,169,106,499,609,706,493,392,791,302,247,974,055,073,231,603,424,154,
677,063,480,954,603,392,576,812,216,974,608,847,220,331,489,427,404,063,718,
553,639,300,307,516,066,000,681,323,487,916,849,613,697,409,246,336,693,037,
389,080,609,990,300,834,885,879,645,363,286,271,711,026,701,468,474,604,712,
653,840,570,332,849,706,341,672,575,522,415,017,542,201,394,542,765,868,125,
368,927,806,383,391,448,923,157,581,974,834,288,802,169,294,164,912,083,955,
958,515,041,515,787,301,063,396,896,744,931,989,477,728,437,893,997,366,756,
097,820,434,313,197,779,985,693,327,782,384,374,265,839,702,127,931,184,460,
660,053,592,213,811,859,741,543,741,197,795,980,869,670,117,441,677,974,378,
799,888,567,122,611,981,026,752,654,490,809,878,158,931,559,698,842,696,546,
321,547,584,175,847,170,836,445,614,924,905,099,635,233,806,748,501,428,835,
391,405,345,744,959,962,661,666,944,747,409,293,810,795,818,755,545,445,446,
161,099,084,563,759,923,081,758,841,003,243,631,497,415,472,747,045,751,901,
463,444,438,451,344,435,463,818,466,813,304,036,568,825,286,692,611,820,752,
248,472,077,869,365,360,861,960,036,081,181,540,713,375,612,384,344,951,951,
644,064,823,356,015,783,044,997,666,910,377,350,657,939,702,994,091,602,714,
144,503,311,493,375,650,504,794,362,770,956,562,779,953,827,788,924,707,140,
272,355,452,420,258,148,918,824,160,602,572,911,835,726,992,737,181,287,130,
656,723,505,408,669,648,096,809,635,747,241,312,758,958,706,389,304,015,570,
653,186,330,566,044,663,692,306,654,365,035,759,608,132,487,864,789,869,717,
706,863,625,852,709,777,629,276,796,669,319,417,095,823,197,615,408,118,278,
071,256,892,949,681,023,389,561,514,203,615,947,496,723,422,501,558,464,390,
946,193,834,775,088,472,039,395,223,396,844,267,307,603,808,754,104,290,642,
703,911,695,889,602,427,269,608,795,714,582,703,234,744,509,156,713,009,947,
857,428,447,919,396,397,206,456,668,446,678,348,993,920,213,090,278,460,573,
374,720,639,949,095,871,200,332,209,090,677,459,842,796,192,396,943,554,459,
964,084,434,644,747,274,885,638,602,840,502,392,958,766,526,376,149,427,551,
137,623,148,202,417,997,645,239,175,489,369,873,675,547,322,524,885,775,998,
312,599,531,617,776,165,435,708,638,035,721,590,878,753,965,819,746,836,584,
725,529,989,550,290,511,529,418,301,703,352,826,933,331,455,319,591,598,131,
308,171,156,412,369,985,692,086,790,720,765,804,348,391,911,011,222,441,272,
286,486,615,731,992,857,118,046,897,102,620,481,144,159,611,091,677,911,267,
648,953,221,544,443,631,167,566,912,563,386,708,867,556,312,684,042,390,048,
897,201,559,125,915,803,442,162,036,480,032,499,948,299,508,446,867,287,049,
849,872,316,930,743,535,658,708,159,450,513,622,120,007,999,174,352,594,617,
733,011,188,583,454,694,256,480,690,131,329,669,184,497,758,280,102,017,181,
479,836,332,238,152,290,083,721,645,214,023,063,059,852,110,413,052,715,442,
748,822,357,871,423,474,418,467,409,329,630,746,808,347,124,133,845,671,768,
075,991,460,410,261,395,479,354,847,072,999,471,495,772,577,002,613,897,030,
621,065,839,199,517,339,281,478,526,601,597,946,670,178,212,484,157,578,647,
423,210,671,106,743,438,632,384,386,650,704,887,857,836,381,482,358,264,810,
758,658,865,380,852,273,685,714,725,759,081,277,183,105,186,713,053,259,909,
509,338,677,262,544,857,913,619,487,007,604,465,654,624,048,280,920,299,556,
753,749,056,242,634,210,208,885,226,521,880,989,232,948,443,754,366,542,490,
537,863,667,183,140,546,113,491,758,557,674,183,760,835,612,353,354,697,623,
008,447,978,567,242,104,942,113,008,281,116,686,198,405,177,006,409,206,212,
371,144,898,721,092,589,547,118,261,806,095,927,657,861,285,597,070,321,606,
101,582,203,074,232,178,633,655,926,460,464,141,914,518,865,178,006,659,753,
546,760,834,229,663,826,780,085,095,061,183,040,239,491,548,000,935,446,347,
641,827,728,512,352,048,622,622,691,640,721,395,707,088,584,321,256,536,324,
192,521,801,623,327,875,609,436,626,034,988,425,584,019,697,227,236,026,967,
504,516,790,023,115,387,783,018,848,060,227,106,600,620,999,805,279,566,103,
828,460,588,975,034,684,441,893,053,023,198,506,062,800,697,355,310,286,815,
646,559,285,439,523,607,678,658,478,078,916,291,183,239,049,437,828,060,663,
757,123,431,931,318,837,151,852,265,945,177,146,331,105,030,742,380,729,068,
143,436,938,168,166,250,929,229,469,561,063,792,125,557,126,749,906,720,117,
252,284,886,147,792,300,671,572,459,889,649,885,942,819,072,620,041,548,444,
172,315,322,682,543,013,085,311,384,145,155,055,483,653,505,401,060,541,899,
468,111,867,165,066,767,709,315,763,466,867,098,162,107,444,848,356,312,321,
266,911,131,133,839,152,784,570,100,240,776,231,964,519,682,860,469,997,039,
920,587,176,136,763,182,569,969,487,847,064,479,980,165,588,032,412,710,617,
967,075,354,036,848,612,948,339,681,233,968,811,410,507,119,411,038,901,416,
952,851,566,701,320,655,995,294,719,763,160,251,622,583,010,898,008,257,711,
964,385,192,204,306,757,799,367,592,705,531,322,022,338,250,195,926,963,975,
922,409,466,046,317,594,051,005,220,256,865,528,500,485,395,553,066,951,834,
905,978,634,248,178,984,514,558,333,947,897,644,892,639,658,228,996,022,179,
616,798,075,620,639,659,245,598,211,430,319,272,810,523,755,540,702,998,663,
040,287,291,172,382,810,370,453,048,289,417,204,947,338,545,146,383,009,553,
424,911,477,750,254,879,745,624,348,057,551,419,366,022,357,919,007,375,826,
686,101,731,900,325,259,416,612,788,232,342,921,296,480,679,159,425,199,448,
098,520,542,372,276,094,804,365,249,586,086,321,694,262,626,197,417,797,337,
606,940,275,319,192,404,905,976,290,803,253,679,695,339,254,672,544,433,468,
080,981,834,741,191,629,598,160,092,885,830,142,873,577,774,226,128,271,266,
572,244,784,052,910,984,583,552,900,223,263,059,699,452,795,134,378,500,976,
704,330,354,886,016,478,539,111,381,360,038,139,958,868,185,740,287,126,482,
145,826,325,111,361,083,399,232,387,631,291,239,663,175,647,013,126,230,456,
101,738,102,038,131,783,451,915,082,600,895,777,582,957,886,200,403,589,308,
940,329,163,049,376,566,498,842,773,806,083,570,517,646,028,209,286,762,212,
122,284,288,494,271,585,126,888,900,065,561,409,615,497,271,869,672,123,832,
434,987,265,158,581,859,125,858,213,416,099,493,986,202,795,547,629,438,617,
754,970,586,059,080,072,676,056,249,199,758,211,436,487,372,230,866,962,638,
153,334,586,033,902,164,141,949,282,230,250,368,244,840,980,189,004,577,490,
368,478,885,415,297,399,217,487,885,641,550,580,028,241,241,858,475,899,074,
901,930,623,948,567,991,179,222,497,450,412,389,167,957,113,995,541,532,669,
490,823,960,540,103,934,644,376,931,097,680,609,556,564,677,932,360,487,344,
939,180,155,036,511,017,715,423,135,192,920,816,939,038,235,866,513,836,549,
493,368,048,356,144,146,065,084,421,217,160,343,880,872,152,221,028,133,133,
297,631,461,401,148,566,852,510,316,672,744,764,575,054,333,659,176,475,473,
007,261,002,824,201,182,539,488,958,179,745,366,981,435,432,504,325,641,558,
094,206,140,340,958,064,076,931,486,363,923,436,295,385,109,238,328,333,027,
548,266,819,157,646,395,495,387,679,418,967,189,169,055,717,942,396,430,826,
713,208,329,297,334,172,026,799,269,813,375,172,182,417,433,959,032,812,978,
894,182,698,791,965,097,576,701,236,775,875,918,553,894,041,294,883,146,460,
514,357,414,126,246,665,953,564,251,019,578,280,772,642,790,958,003,253,162,
800,083,385,286,475,128,150,504,536,293,827,269,780,944,124,152,912,130,672,
962,687,454,496,747,058,664,300,375,260,210,894,950,050,120,421,966,534,829,
712,460,454,546,556,483,198,420,054,832,853,151,793,226,020,682,221,784,559,
336,606,454,532,676,186,616,086,627,582,101,250,377,962,140,147,155,533,167,
782,937,971,312,295,361,289,858,946,957,701,532,757,246,416,571,060,801,600,
598,302,261,150,880,340,073,270,962,398,500,255,816,823,719,140,171,275,981,
627,808,439,163,552,567,677,263,209,928,781,317,069,459,484,904,092,917,968,
268,698,396,614,000,194,645,745,113,331,153,813,827,066,081,357,169,626,724,
367,265,732,869,783,369,390,587,453,268,856,141,562,599,190,313,173,846,954,
986,708,607,213,336,396,689,241,810,907,048,950,721,374,239,872,109,258,969,
102,333,957,034,275,947,537,084,589,357,859,067,820,816,257,329,099,611,881,
010,145,135,982,006,951,892,920,196,885,764,626,022,001,928,057,444,717,390,
060,099,760,099,023,398,371,319,719,600,517,982,381,471,938,368,342,711,080,
143,278,287,471,259,205,157,774,981,011,862,106,812,424,622,039,496,255,255,
564,622,145,578,501,656,115,387,089,715,363,606,529,766,240,708,407,383,958,
165,828,692,031,421,378,867,793,745,024,529,044,217,105,116,179,239,023,604,
022,708,703,079,036,166,139,091,178,244,764,888,207,661,965,819,202,242,152,
162,071,806,174,080,983,566,521,252,353,551,631,319,661,654,975,001,049,770,
586,941,154,877,589,809,678,513,898,676,769,130,918,941,279,997,382,813,235,
816,988,532,657,546,551,154,907,333,599,401,759,538,071,925,128,281,729,985,
644,564,505,352,518,404,950,653,442,749,463,041,107,954,491,190,573,015,827,
227,358,210,735,368,788,913,349,408,364,563,974,758,589,467,071,066,846,215,
597,823,459,220,255,633,611,214,993,413,231,519,561,202,615,209,212,089,391,
377,938,057,650,385,481,854,601,098,722,890,704,675,623,369,520,613,616,391,
703,065,877,931,142,614,319,822,243,993,287,124,072,949,692,089,891,301,271,
401,227,034,950,396,905,529,033,930,764,109,790,330,750,045,973,399,728,888,
828,380,640,241,985,387,390,747,016,937,971,475,719,558,906,701,255,057,105,
685,254,497,407,451,365,993,682,337,209,389,675,856,461,592,397,902,093,270,
055,934,265,413,362,929,902,905,024,734,851,017,223,794,075,611,469,191,586,
599,180,221,471,815,596,266,948,019,857,327,186,515,341,396,053,149,951,551,
775,543,362,090,002,816,914,736,723,162,825,191,287,029,519,143,576,726,803,
563,364,343,161,139,826,337,716,770,818,110,477,424,515,268,905,723,849,668,
460,657,143,248,393,467,608,248,822,123,032,144,882,493,870,140,725,223,312,
085,187,837,512,709,735,953,072,392,731,943,922,844,359,563,632,707,795,315,
408,166,343,444,462,456,538,737,722,164,472,952,423,873,432,292,021,648,610,
975,440,889,271,885,341,886,350,574,084,802,660,431,248,836,175,501,597,344,
576,940,409,570,362,763,821,612,981,648,361,606,160,664,742,750,451,230,504,
253,364,794,111,749,340,888,901,482,829,133,301,043,704,578,178,724,705,047,
600,299,931,465,973,745,594,851,612,808,147,550,003,015,637,519,441,349,530,
257,243,720,712,024,379,697,784,738,232,329,939,167,872,430,385,355,211,512,
427,246,255,162,408,968,487,575,268,449,881,971,988,237,565,815,133,175,133,
951,285,144,772,480,423,801,185,793,441,414,412,910,599,032,942,226,818,478,
378,698,728,448,846,691,329,166,482,867,425,029,209,059,977,347,955,567,824,
713,551,801,901,853,289,562,715,470,132,028,885,908,257,729,286,981,788,482,
324,140,648,279,922,220,675,282,258,923,881,321,786,214,902,532,855,644,691,
485,874,987,956,169,014,981,949,354,143,764,806,649,366,930,980,556,693,538,
819,712,895,181,246,245,767,911,245,566,022,042,091,204,909,367,947,617,293,
101,361,325,805,098,682,754,325,369,583,822,067,393,995,338,451,224,680,990,
663,931,209,870,311,072,706,763,779,804,688,188,176,708,575,738,239,352,619,
159,829,167,842,232,590,291,995,256,585,070,844,849,885,722,285,135,807,628,
614,457,820,042,278,191,398,084,153,580,603,814,878,378,906,963,063,844,137,
872,959,412,900,163,972,034,532,106,064,879,899,245,254,258,871,979,546,254,
836,922,208,401,654,238,745,651,207,810,359,388,364,473,797,886,937,409,026,
432,373,941,277,810,110,586,011,159,701,530,912,554,730,003,766,555,167,392,
234,578,286,760,319,303,542,208,700,965,015,545,920,666,280,346,767,276,610,
966,099,072,217,741,538,633,910,990,684,265,447,358,217,122,693,029,337,413,
091,536,768,495,317,277,420,679,715,749,098,367,947,095,079,138,469,481,541,
051,766,323,444,924,410,484,470,276,891,828,387,872,231,312,585,457,726,344,
376,973,957,298,096,653,168,878,337,354,273,990,257,415,554,250,936,184,083,
862,205,844,428,536,912,413,958,364,017,522,479,626,226,810,417,761,653,539,
989,754,041,794,388,769,433,257,350,880,241,316,279,471,528,629,446,454,131,
899,476,974,712,419,711,499,929,359,843,266,458,183,971,916,041,648,780,074,
502,289,624,578,304,215,675,058,388,350,767,192,181,148,349,757,455,024,452,
315,303,679,505,616,662,983,932,230,036,786,117,541,534,148,696,958,057,727,
124,988,406,530,797,412,754,176,085,392,477,738,113,182,071,649,640,413,292,
127,294,589,681,411,993,358,091,658,915,926,786,046,801,466,357,094,571,570,
409,495,711,184,047,301,940,948,950,787,958,544,847,700,739,224,627,544,955,
980,554,279,915,030,322,712,733,366,386,306,375,395,022,187,912,197,192,708,
214,055,736,260,587,433,021,123,342,884,155,522,585,848,363,421,040,616,305,
156,077,220,598,704,222,380,653,564,657,106,297,181,623,003,021,677,502,171,
217,666,970,265,425,183,258,310,789,591,535,164,576,899,502,836,441,553,596,
718,383,572,984,767,705,333,902,999,110,225,178,197,846,935,264,205,872,716,
722,388,408,332,295,222,727,732,896,872,140,434,111,650,603,588,625,531,754,
924,778,397,164,746,011,949,858,060,975,107,654,608,112,378,407,447,684,755,
015,860,121,470,656,439,155,999,772,626,563,961,110,223,011,823,744,013,038,
795,551,069,620,054,282,485,111,123,854,803,231,773,037,891,388,178,287,030,
845,069,330,182,685,940,487,117,674,491,486,483,244,064,338,888,272,885,710,
495,517,545,476,147,042,546,712,055,766,952,271,305,712,245,261,562,108,744,
240,838,444,945,847,425,975,038,146,957,255,854,647,974,583,336,654,159,624,
077,419,038,279,517,717,865,526,788,760,502,970,385,454,156,077,183,805,247,
700,900,506,032,140,008,046,774,456,461,639,868,612,936,423,914,713,470,361,
849,442,752,974,843,298,843,729,334,902,592,097,620,683,243,403,429,382,601,
357,599,070,221,549,105,702,470,549,704,127,626,961,175,374,150,649,246,156,
161,022,319,538,400,989,223,218,385,620,936,641,089,824,651,671,047,027,401,
211,153,804,394,482,814,234,534,178,476,494,104,262,674,895,839,036,713,403,
670,269,909,030,327,530,990,286,723,869,235,100,763,154,468,258,566,672,488,
855,590,101,070,016,954,733,461,502,777,387,078,118,532,123,959,145,784,140,
884,799,207,392,325,991,237,461,979,688,084,775,964,755,300,438,390,114,452,
146,344,740,134,058,192,179,127,972,250,634,986,621,094,670,381,081,327,709,
650,943,093,944,784,101,895,159,035,154,150,273,486,086,670,920,962,207,885,
004,673,138,660,663,761,366,124,664,899,110,039,008,994,952,443,075,896,252,
755,638,442,048,275,569,302,955,315,481,827,825,420,321,987,477,817,387,882,
733,022,146,714,576,069,516,444,971,162,327,363,173,624,494,281,438,371,811,
857,657,108,262,890,743,605,165,030,247,825,657,689,054,454,036,542,659,945,
274,249,525,304,590,875,958,671,767,438,426,057,565,222,169,659,757,159,606,
727,595,042,167,654,879,360,776,557,153,462,383,608,348,859,776,594,916,753,
837,589,142,840,110,155,950,662,922,838,984,601,196,701,809,550,899,058,396,
158,547,457,041,885,095,716,135,772,721,421,901,453,893,710,945,667,464,549,
865,531,789,495,013,612,705,747,998,100,956,215,961,852,071,990,469,051,171,
666,081,945,033,835,178,378,936,731,796,172,603,198,232,444,622,924,992,893,
398,821,054,508,411,334,272,567,598,535,884,096,297,870,809,474,935,599,504,
768,576,770,775,380,730,794,592,607,422,581,970,403,605,188,027,271,052,580,
444,258,031,633,219,949,758,407,184,309,261,985,301,775,524,809,298,686,825,
970,046,135,773,380,082,861,781,448,538,002,606,170,248,288,646,109,440,496,
386,987,756,482,813,600,538,721,184,192,101,334,668,406,545,421,340,992,646,
229,612,046,690,011,913,926,285,713,444,471,465,623,199,274,960,972,958,091,
211,098,683,733,365,989,275,263,936,971,027,415,400,582,174,082,614,239,071,
293,621,314,651,165,781,535,777,522,654,760,449,560,458,023,675,705,113,424,
980,688,145,274,653,466,668,726,976,912,528,675,080,736,468,834,806,226,396,
438,928,581,088,874,770,178,903,789,079,584,742,252,157,460,555,489,655,170,
296,199,954,606,071,924,708,736,394,547,239,467,835,640,075,051,206,909,212,
184,447,478,820,247,385,979,774,116,285,591,866,987,110,811,947,548,298,620,
634,669,274,958,467,954,191,523,654,527,561,617,324,386,565,569,504,086,838,
791,896,926,762,980,503,036,537,103,688,719,178,279,491,543,495,935,663,580,
957,441,637,224,959,216,598,101,896,122,847,801,660,243,960,509,258,822,548,
518,801,176,817,713,646,775,376,617,395,819,490,959,394,875,853,982,513,929,
053,861,554,382,629,250,052,225,074,260,977,113,602,654,243,309,325,531,009,
798,760,115,332,527,097,166,272,481,453,670,904,982,385,116,509,187,708,465,
748,979,043,681,983,883,116,326,231,015,523,671,355,622,156,341,569,057,845,
131,630,421,070,541,723,774,719,845,850,256,996,368,888,339,740,612,679,063,
327,549,681,055,643,228,084,843,815,426,453,835,020,866,677,882,589,645,711,
330,942,181,287,973,845,378,185,542,366,057,269,835,896,347,682,009,736,723,
065,725,983,112,753,239,445,215,162,545,797,865,165,282,436,005,483,168,281,
857,422,908,825,019,334,554,111,632,394,063,808,976,488,638,139,404,724,913,
001,152,203,940,994,511,298,185,514,579,512,609,278,029,587,129,175,543,724,
208,154,995,247,081,930,550,434,263,135,915,802,422,290,106,335,078,084,700,
340,713,086,666,505,720,115,104,265,064,251,378,221,078,085,794,427,586,930,
902,195,184,426,139,575,941,543,999,035,508,664,575,095,590,568,606,858,357,
210,744,646,567,011,239,718,014,004,353,651,759,926,908,799,950,752,677,726,
775,497,736,978,029,088,562,851,647,313,598,152,412,466,423,865,224,185,590,
980,749,089,718,493,461,180,761,128,635,872,000,247,676,909,696,172,876,001,
244,219,029,757,335,251,169,911,245,022,423,576,339,679,973,481,510,044,815,
870,788,022,855,929,328,318,386,158,541,077,279,895,064,679,603,404,301,612,
484,466,148,219,665,754,709,798,624,260,011,501,451,392,709,693,291,945,051,
132,768,322,018,324,386,720,830,949,931,884,812,511,530,231,388,563,365,059,
934,559,749,284,593,285,050,388,592,341,437,214,713,403,614,664,939,999,867,
149,431,856,822,498,984,328,638,198,261,150,241,632,915,171,061,547,676,935,
264,363,884,047,384,430,625,084,021,034,927,085,783,014,771,481,184,831,898,
466,173,561,388,500,650,063,655,495,589,446,143,985,665,812,664,331,591,547,
401,988,784,762,197,617,093,599,525,915,906,492,506,045,570,924,055,127,247,
832,059,557,856,793,141,689,898,146,398,034,850,412,822,577,393,447,902,156,
840,069,013,639,454,046,020,919,140,569,682,960,981,878,325,015,140,847,452,
336,685,148,739,935,400,098,381,256,378,232,201,211,537,975,769,690,132,780,
974,446,798,398,565,580,510,995,527,618,570,288,675,084,042,551,850,415,722,
719,244,659,357,812,914,827,652,730,790,442,687,654,527,386,256,275,706,241,
939,073,656,987,965,469,894,004,993,838,145,971,687,802,021,254,528,449,310,
289,741,665,004,065,881,300,754,485,709,598,070,885,714,092,243,429,367,480,
371,719,920,023,896,146,866,235,571,252,200,325,605,701,052,881,527,102,371,
470,100,343,819,559,553,922,010,210,044,228,892,954,510,218,629,192,504,065,
867,470,160,449,008,350,147,848,236,324,528,458,712,147,438,033,997,568,707,
303,453,570,867,522,492,632,648,554,681,864,741,620,116,272,120,589,418,613,
239,865,959,964,483,051,184,988,000,360,655,572,499,652,322,764,040,577,672,
017,214,613,897,869,055,376,620,234,390,844,791,260,323,922,372,000,817,207,
699,495,922,418,515,811,502,120,060,275,709,841,890,028,669,963,236,309,256,
321,035,591,204,704,926,366,660,285,575,614,767,956,279,868,112,786,151,960,
768,896,002,730,116,293,912,691,394,145,823,748,941,976,385,644,501,891,898,
527,346,301,583,950,446,787,435,745,796,249,531,244,394,833,602,024,292,169,
198,056,475,131,757,148,032,129,128,819,875,514,237,688,086,072,905,796,276,
295,277,848,151,089,309,666,504,071,009,728,552,634,815,863,367,999,145,891,
741,167,931,778,224,097,423,616,492,238,677,126,051,464,039,369,737,583,418,
608,022,798,544,000,661,559,164,598,520,570,300,967,893,547,925,168,712,383,
908,469,184,275,718,974,768,341,814,379,971,970,712,125,724,047,218,337,097,
272,719,561,557,372,498,399,524,269,650,206,294,406,629,114,357,998,768,012,
378,041,285,505,019,270,290,701,610,959,704,222,009,128,596,959,193,795,411,
079,353,440,975,302,092,846,680,788,735,004,058,014,067,753,502,422,661,466,
075,447,577,504,361,766,680,441,584,394,077,370,560,066,224,832,824,530,011,
537,470,351,184,503,352,410,603,384,139,703,151,767,450,650,017,820,971,456,
915,341,247,409,272,230,953,182,485,367,917,650,492,616,616,251,839,337,481,
147,671,853,657,339,934,572,777,587,829,444,231,278,448,192,205,133,706,864,
338,395,954,706,620,058,069,648,664,281,016,672,438,440,960,841,050,733,717,
202,690,712,664,351,510,604,383,624,507,136,872,178,547,479,396,161,732,820,
205,347,556,762,514,724,912,427,016,176,442,507,347,663,215,712,969,481,557,
146,703,437,714,347,713,106,430,538,100,662,798,150,691,269,125,308,190,926,
577,881,209,257,397,625,606,943,010,687,202,609,278,827,338,257,989,136,252,
480,088,638,380,013,259,781,091,356,756,166,083,082,835,289,931,132,149,091,
234,791,409,910,309,141,915,845,927,263,125,491,306,748,944,869,379,915,229,
247,304,213,082,564,942,231,515,094,764,141,336,068,948,988,480,024,553,496,
994,024,503,041,888,204,663,356,528,705,162,152,419,838,326,485,693,744,884,
207,112,122,519,131,450,893,015,878,563,893,180,371,456,244,245,320,040,083,
737,515,779,256,137,847,598,556,020,222,204,963,824,335,482,235,721,285,185,
879,142,075,237,119,513,944,494,949,104,800,359,342,923,049,589,716,809,298,
770,682,262,989,329,772,326,285,471,776,538,457,235,601,016,437,856,328,037,
396,858,769,681,164,854,096,951,032,048,297,002,924,180,370,503,362,676,541,
051,126,989,556,447,969,275,588,941,231,230,218,433,844,952,169,844,055,058,
304,214,243,441,811,159,327,515,754,175,149,076,029,395,427,972,795,842,779,
859,940,349,387,134,460,310,426,574,897,795,153,235,993,393,527,503,873,468,
807,090,426,809,605,505,049,394,734,129,878,666,029,458,633,139,427,824,683,
704,023,935,431,613,184,901,771,340,323,592,646,829,951,066,850,948,147,338,
505,852,659,135,622,335,956,441,616,740,027,356,073,345,151,741,481,619,610,
234,975,089,629,919,561,789,956,603,564,870,037,244,208,417,587,249,915,860,
427,712,607,052,116,959,555,163,339,304,049,580,322,234,800,755,095,572,413,
654,963,208,445,831,925,483,229,315,923,017,807,076,281,293,707,133,428,870,
481,822,440,902,425,183,062,398,083,900,058,855,897,774,039,072,395,518,166,
244,024,155,112,691,257,867,725,220,390,151,665,246,745,526,473,973,451,815,
249,032,928,246,248,786,586,363,050,628,411,679,871,343,780,751,446,744,638,
023,541,982,436,585,074,104,830,919,532,280,596,922,530,316,732,175,599,530,
308,228,338,669,388,499,527,544,510,628,124,416,613,099,157,934,945,908,965,
341,431,157,487,417,548,887,929,634,448,634,507,200,923,142,184,211,999,356,
030,543,506,164,770,637,031,693,185,563,636,596,202,743,828,717,947,932,327,
597,822,545,078,504,599,268,798,425,024,070,677,378,007,925,813,902,857,763,
465,632,462,120,375,701,446,304,339,783,253,174,900,726,956,657,940,771,889,
738,020,026,969,132,109,072,778,870,612,290,174,758,102,732,056,181,154,319,
796,727,493,260,722,365,111,881,740,993,256,105,009,531,074,713,877,850,259,
932,595,174,085,321,452,219,905,012,508,417,716,104,059,806,460,922,830,764,
583,673,004,912,312,040,054,796,045,698,827,520,502,316,296,361,689,232,885,
808,661,241,111,906,162,786,252,927,205,032,351,820,636,446,231,043,464,496,
697,490,502,768,961,505,157,730,475,335,684,953,072,432,489,612,664,231,174,
091,962,219,349,413,691,382,423,978,486,803,882,730,331,233,255,459,046,353,
482,570,159,178,028,228,460,442,175,023,728,671,970,813,483,308,359,329,855,
371,316,439,622,261,842,713,690,995,031,907,727,661,127,661,139,578,548,812,
631,428,246,938,382,652,241,595,167,345,320,945,393,953,250,612,240,307,151,
838,853,612,003,277,847,140,831,881,587,339,576,943,532,083,564,752,737,858,
211,238,696,399,714,087,173,995,619,824,395,830,410,849,999,150,558,938,759,
517,377,073,042,276,964,459,312,659,058,461,889,089,638,944,114,138,079,069,
613,962,067,093,769,963,534,318,965,703,469,039,182,378,680,615,084,681,244,
694,569,690,813,268,884,732,332,108,396,295,624,377,002,741,359,475,165,859,
441,297,481,182,339,335,944,945,781,083,852,033,483,914,618,960,468,173,713,
241,920,290,394,117,405,142,600,074,169,094,344,065,307,091,537,575,086,471,
628,391,799,130,299,253,239,495,153,722,125,447,222,672,795,855,941,518,953,
628,035,558,127,868,586,331,954,540,955,367,958,811,735,175,889,427,181,809,
185,112,196,837,955,808,543,928,784,073,654,983,486,546,752,404,332,815,126,
822,153,536,049,718,365,810,209,094,291,017,846,790,444,346,431,466,151,334,
837,668,351,088,896,925,917,213,203,849,621,893,985,313,136,217,742,281,098,
143,503,768,714,519,671,940,078,797,866,911,096,385,931,047,927,952,764,232,
785,558,072,289,401,261,896,547,595,698,841,937,241,572,114,365,019,950,881,
777,746,248,037,366,275,462,366,867,002,645,836,028,809,064,448,449,442,508,
622,564,143,319,637,704,464,226,596,637,031,640,798,751,003,045,467,785,702,
114,468,018,554,465,607,386,203,443,386,827,447,937,122,544,691,045,858,589,
657,767,287,895,326,085,248,491,650,162,560,798,083,040,118,200,714,214,740,
540,753,785,874,463,995,147,208,506,687,801,595,930,932,458,546,586,282,134,
727,271,770,522,145,484,874,938,688,580,666,910,364,445,271,230,216,887,150,
988,144,925,583,899,561,450,231,362,587,741,510,685,647,767,288,353,338,581,
251,077,598,770,144,379,231,314,032,601,227,461,055,330,493,001,579,892,367,
989,067,314,787,181,301,510,645,512,255,552,761,787,731,920,023,978,480,288,
585,827,650,295,549,796,262,810,848,396,108,917,103,882,808,570,338,528,368,
156,316,020,950,308,520,610,972,879,633,797,370,968,909,422,557,126,153,837,
033,928,048,081,043,984,688,136,332,618,462,310,406,386,906,823,238,256,869,
733,527,942,385,181,463,626,226,181,288,260,664,335,926,829,409,293,109,402,
949,210,259,061,071,140,327,407,297,513,578,452,284,239,133,630,970,163,667,
656,163,534,702,529,963,060,321,434,053,679,811,174,928,541,300,153,609,848,
327,466,634,501,113,050,262,896,328,408,851,501,596,396,368,267,747,102,780,
151,251,229,942,550,979,839,471,518,570,983,957,616,590,304,452,936,914,069,
786,619,174,602,634,794,286,767,488,986,781,433,799,679,869,646,749,435,492,
843,680,207,277,066,903,813,423,887,723,944,941,566,427,373,021,841,785,550,
333,243,786,716,328,407,766,307,074,504,979,337,099,555,527,414,110,681,402,
238,957,418,241,617,979,205,392,134,969,242,972,932,541,638,149,380,493,840,
181,574,857,155,425,058,918,215,213,075,056,147,369,725,132,918,865,484,203,
535,660,948,892,754,970,117,423,310,408,552,918,180,714,137,468,501,812,019,
697,924,049,627,329,718,404,893,739,646,188,976,437,796,608,013,738,329,940,
798,180,577,538,760,967,172,863,743,573,045,030,880,133,213,068,712,215,501,
552,499,698,148,224,440,771,591,859,108,930,009,689,275,597,313,601,951,219,
322,345,976,118,229,583,420,790,643,588,323,750,520,081,485,654,856,761,025,
214,551,202,955,656,853,922,376,550,870,768,313,822,633,109,068,881,829,256,
662,271,046,646,990,848,449,449,648,256,873,164,297,094,907,340,401,747,248,
038,094,521,983,351,000,063,900,375,180,295,135,569,562,680,405,511,737,033,
851,088,943,694,713,070,696,396,275,654,738,909,381,833,084,555,466,758,950,
561,666,926,356,195,087,514,288,711,578,211,972,431,950,102,639,610,882,143,
208,290,618,604,507,350,978,369,732,842,080,585,000,546,492,555,529,183,085,
242,746,470,601,714,068,990,904,501,620,379,611,953,706,894,687,959,200,583,
095,829,420,139,629,715,452,415,980,895,678,791,086,923,034,764,984,543,079,
879,241,396,702,070,145,453,263,656,919,469,066,860,594,544,902,828,230,943,
516,486,611,813,373,676,033,184,521,463,237,944,232,661,523,369,802,440,328,
117,525,613,768,362,326,954,372,989,597,849,784,944,809,830,326,703,770,665,
139,796,332,258,552,298,441,505,778,719,463,710,162,659,566,658,153,927,784,
963,523,893,448,232,808,344,483,235,206,405,249,960,707,235,703,778,014,794,
443,580,425,964,341,809,303,839,278,034,027,848,066,413,694,371,982,159,818,
873,346,411,660,902,702,229,591,753,322,477,209,184,331,959,608,500,553,181,
399,248,728,830,452,162,764,851,390,088,042,767,916,896,150,448,836,048,641,
107,975,052,139,951,443,262,122,173,579,923,884,692,118,502,191,137,470,578,
608,234,931,876,928,487,577,470,957,920,628,204,715,036,575,458,975,662,433,
992,080,096,104,203,290,950,735,722,296,082,097,847,195,772,611,109,824,584,
716,345,845,752,526,853,050,603,573,686,345,784,057,965,661,363,827,894,722,
023,213,985,153,941,466,347,887,653,060,215,406,199,185,920,879,793,854,800,
287,126,164,683,763,190,551,159,198,484,196,758,142,124,260,053,908,023,824,
298,541,854,847,989,624,613,076,188,322,141,084,087,718,774,589,428,814,243,
953,267,749,017,422,481,825,403,081,159,263,238,361,720,886,128,848,900,868,
078,430,118,247,207,983,782,732,788,675,654,086,162,866,332,596,291,783,876,
959,548,008,942,085,891,406,476,743,943,030,352,181,350,098,723,650,176,728,
195,050,299,057,557,684,342,415,735,387,056,252,026,039,058,618,844,186,987,
227,335,929,588,376,284,826,947,806,873,375,873,671,981,351,574,147,266,860,
499,930,154,196,780,009,930,578,707,665,099,613,924,193,780,214,305,137,174,
808,699,391,620,514,049,989,012,337,127,936,701,758,987,718,265,409,286,979,
946,082,374,848,693,233,842,168,159,866,708,210,101,853,229,860,640,327,505,
037,680,409,468,071,517,648,558,319,869,786,691,704,255,671,838,409,637,179,
298,945,085,224,379,670,901,548,385,967,506,797,093,137,612,801,068,354,588,
225,056,752,574,694,962,441,659,083,895,220,153,906,099,712,457,018,101,114,
334,668,258,857,504,251,841,714,047,183,520,605,566,995,757,612,399,601,563,
728,837,688,776,117,861,026,980,344,407,363,587,549,352,509,018,589,298,582,
897,972,923,587,632,004,311,525,666,840,630,395,403,858,197,470,716,576,199,
488,206,481,940,444,480,933,657,061,405,980,086,763,268,896,540,431,940,669,
357,249,346,995,986,351,531,464,605,124,575,903,409,194,656,895,136,435,009,
394,546,771,348,372,201,965,738,703,842,909,441,554,671,467,661,828,507,461,
856,520,718,625,892,352,234,662,631,114,733,759,455,231,846,874,708,311,579,
195,054,764,999,222,500,951,647,725,581,597,565,761,878,084,701,550,795,958,
803,476,677,659,031,536,850,479,719,800,524,923,122,159,909,265,981,955,118,
976,134,914,654,426,141,856,569,899,335,562,849,587,361,357,820,293,198,683,
942,012,474,710,578,499,789,634,394,999,889,451,367,587,223,936,113,290,220,
979,854,183,976,034,824,925,719,367,205,908,091,997,195,948,244,146,267,826,
184,206,999,911,102,555,551,763,154,648,294,715,797,270,109,026,070,030,064,
373,829,041,356,885,355,723,970,763,592,074,553,415,588,311,019,532,065,907,
361,088,857,892,399,895,529,653,963,518,066,040,444,143,432,086,724,584,069,
417,305,974,897,914,040,201,758,464,113,144,729,575,529,888,170,711,995,943,
583,394,526,604,278,816,216,738,979,671,800,427,949,886,768,385,119,218,249,
114,640,352,975,561,444,405,187,788,417,294,380,692,680,562,060,190,882,729,
015,169,798,622,119,819,597,339,267,747,555,270,609,460,607,036,498,695,387,
618,234,378,557,836,228,324,116,191,981,280,151,560,716,718,868,582,884,650,
952,699,554,401,963,096,238,939,307,071,771,413,754,706,144,652,483,125,762,
037,527,237,646,813,014,563,822,389,545,501,339,093,691,355,154,550,720,310,
220,919,799,041,147,607,578,230,212,577,008,627,316,600,264,790,189,737,852,
419,889,886,996,767,719,204,942,144,397,506,913,476,337,955,691,427,252,455,
891,505,094,675,480,660,635,568,087,284,119,612,328,519,820,643,805,683,237,
058,414,524,852,639,604,243,814,118,667,736,296,285,230,331,063,266,311,541,
546,985,514,314,636,835,243,204,466,614,404,115,672,460,313,113,076,394,659,
183,790,068,300,690,733,553,191,272,393,792,766,023,865,491,308,772,876,539,
300,592,635,733,146,610,746,623,588,585,524,703,418,502,467,603,137,830,712,
889,593,922,731,001,333,190,832,467,953,451,490,747,346,684,262,906,178,091,
155,876,389,012,658,808,515,923,800,853,540,374,045,150,065,730,294,569,170,
234,213,958,361,885,389,172,162,177,274,687,252,851,309,520,245,453,436,109,
068,948,074,550,755,380,471,610,368,752,995,422,784,442,169,786,859,900,760,
799,220,200,629,403,736,534,187,080,597,798,348,745,218,576,938,138,314,000,
814,107,891,279,626,278,851,139,805,980,840,816,133,315,248,940,159,296,018,
151,646,884,767,211,620,478,324,795,619,088,246,750,833,575,809,662,134,850,
020,341,619,997,840,551,888,738,172,348,655,471,958,078,485,438,942,512,921,
105,757,696,481,347,483,951,615,609,746,967,391,630,255,131,439,515,306,440,
748,919,792,518,017,134,238,308,155,006,145,007,977,680,391,158,986,568,240,
620,452,936,421,283,321,547,020,488,624,123,890,002,688,161,263,259,376,648,
556,062,789,320,779,890,345,941,256,353,539,295,253,061,243,746,090,246,604,
289,450,892,820,549,976,917,463,189,719,512,340,532,940,825,956,057,692,414,
827,801,048,909,931,548,711,896,420,381,195,125,053,068,881,158,226,421,189,
083,453,974,872,827,904,914,025,332,857,678,075,970,821,627,762,842,161,363,
955,233,961,833,996,752,415,052,222,370,082,621,331,882,611,920,335,672,681,
435,257,945,393,894,933,466,498,010,841,681,508,227,421,481,360,300,311,935,
952,731,381,089,299,278,747,034,585,423,232,989,708,445,895,821,644,298,269,
627,907,193,605,354,071,030,759,191,499,591,674,887,621,792,115,467,014,187,
492,362,476,255,217,569,617,297,035,868,438,975,930,420,810,824,623,649,222,
999,678,876,859,612,465,632,049,711,398,100,195,129,554,437,503,981,343,071,
153,224,292,820,962,251,773,126,788,913,127,995,498,223,608,870,296,375,092,
551,855,849,109,687,577,662,413,390,133,904,971,154,341,077,360,861,430,140,
145,697,498,523,757,354,680,610,749,662,109,088,096,225,771,929,937,119,413,
155,470,334,730,561,226,873,154,751,243,179,829,769,336,090,773,998,501,343,
675,465,475,520,160,908,098,454,170,251,948,802,223,225,108,347,813,502,129,
162,614,382,567,714,400,442,034,491,709,305,315,294,047,994,241,287,455,025,
049,777,543,587,772,781,369,640,531,802,977,898,934,499,365,105,151,354,706,
343,611,460,703,193,686,707,920,727,356,048,213,236,547,575,790,711,336,091,
232,765,144,604,227,422,601,812,044,800,661,769,758,030,716,029,961,712,355,
819,032,678,839,218,134,587,725,733,082,235,611,899,808,128,175,720,180,119,
391,891,363,309,377,938,725,914,442,073,275,053,354,839,848,367,574,181,558,
172,192,298,472,281,975,688,656,713,046,795,538,699,966,399,860,922,289,179,
273,146,353,622,045,099,534,030,166,620,438,618,630,965,325,232,332,784,212,
017,941,303,847,154,841,281,071,271,147,818,384,405,251,012,155,216,048,964,
581,444,383,827,442,816,553,241,871,040,134,069,836,246,779,324,999,201,202,
593,279,615,643,975,886,437,128,689,970,362,661,227,438,656,308,069,086,066,
607,319,074,171,839,706,288,317,110,613,517,107,015,605,869,567,158,666,029,
255,486,262,160,884,029,167,192,661,735,441,424,819,818,983,199,160,480,716,
862,470,865,818,731,950,467,104,368,643,355,669,356,182,256,950,677,999,231,
319,009,249,247,256,744,605,899,726,121,744,105,154,398,964,617,318,800,294,
750,624,977,975,715,700,954,175,644,590,465,126,309,411,460,280,262,712,443,
644,000,697,965,207,065,795,458,548,657,781,986,424,546,177,443,038,769,651,
192,234,145,450,607,259,137,068,179,412,779,717,994,305,772,677,019,987,373,
828,776,557,881,290,204,898,289,563,473,277,597,494,327,981,844,761,363,448,
339,800,592,481,048,589,043,406,406,257,113,251,468,834,950,739,528,115,273,
354,542,532,457,366,628,502,495,145,738,727,258,371,318,987,172,603,870,034,
740,626,555,160,322,644,278,995,380,253,792,207,068,018,121,448,400,451,398,
390,116,476,282,477,218,482,063,688,433,635,953,432,483,739,055,103,049,467,
552,026,549,363,987,219,230,252,826,733,216,940,549,974,326,014,921,583,821,
642,744,685,424,524,503,865,886,739,669,399,955,168,300,397,045,709,933,633,
657,794,250,275,808,224,435,734,248,928,646,733,192,726,829,045,559,233,024,
601,249,752,298,483,514,955,035,529,633,082,271,306,393,369,812,103,031,289,
860,615,798,172,252,164,022,940,918,545,413,993,038,206,222,018,359,262,837,
591,572,491,670,286,685,996,979,607,225,069,798,027,274,077,345,272,931,669,
863,668,408,136,539,674,110,475,428,604,107,800,239,039,711,229,032,709,182,
379,335,949,696,258,387,829,062,152,964,003,577,106,987,448,037,504,552,329,
782,648,746,496,802,552,837,252,865,941,176,299,255,281,750,710,691,365,075,
780,940,399,114,991,441,525,898,553,426,729,043,373,627,641,977,691,569,767,
748,775,590,315,155,643,748,205,252,974,163,779,867,578,470,978,744,234,494,
168,092,134,141,771,220,352,334,006,257,069,082,964,874,730,505,819,642,310,
570,999,584,157,701,185,467,795,136,318,311,348,491,782,129,091,520,268,292,
268,315,121,694,550,892,273,727,277,401,911,371,863,368,545,613,531,777,586,
618,733,281,283,461,513,301,066,193,495,186,115,620,364,010,338,563,026,448,
485,624,680,912,850,414,231,577,645,754,970,619,074,097,677,575,367,425,866,
930,644,365,355,292,380,309,559,173,134,579,468,869,312,581,804,624,447,116,
865,848,341,315,148,369,368,811,482,280,405,504,721,816,578,483,272,829,822,
749,860,147,033,750,888,407,587,234,070,961,089,768,161,443,828,646,792,582,
806,694,836,821,857,652,801,782,665,594,738,290,154,351,401,428,379,123,651,
072,700,791,500,110,858,547,266,539,801,650,156,275,934,958,014,367,400,807,
689,219,527,414,819,480,325,548,017,466,669,654,646,023,835,427,200,603,736,
754,784,227,921,865,508,671,020,022,965,130,860,604,733,275,268,337,903,531,
790,866,417,287,979,286,430,398,899,096,029,048,673,605,209,999,881,295,546,
785,547,200,150,845,155,726,969,863,606,596,688,924,928,722,770,631,911,224,
805,089,660,884,714,254,178,548,228,505,586,351,503,293,663,734,736,030,510,
974,967,481,200,598,443,495,545,952,056,543,613,629,686,365,221,847,765,595,
577,271,603,634,872,484,550,393,797,003,485,545,565,517,539,318,017,183,599,
091,870,128,383,825,948,988,869,533,330,902,905,699,937,575,851,095,938,330,
339,213,760,991,163,292,117,161,778,506,655,284,648,159,717,627,458,447,611,
415,685,682,135,800,244,910,250,845,136,766,482,224,867,698,524,910,187,977,
973,092,901,382,534,362,391,082,127,925,112,300,992,752,466,677,006,162,895,
500,124,370,851,040,855,855,802,786,779,217,797,632,962,157,329,919,734,269,
305,493,116,167,028,652,637,515,035,247,359,804,215,271,440,436,387,298,377,
338,439,930,399,347,681,039,368,290,114,416,747,758,629,875,690,174,196,983,
339,386,248,851,284,847,192,143,574,971,008,498,947,407,817,871,286,572,262,
257,850,249,200,710,895,174,467,524,381,928,043,930,091,709,929,079,174,039,
295,853,183,994,460,842,392,641,168,422,813,707,225,572,698,017,833,085,600,
310,008,624,261,321,561,145,827,749,353,102,586,006,611,091,386,834,509,377,
913,640,699,570,588,774,003,848,758,246,518,773,763,542,499,287,754,373,373,
830,615,321,466,937,016,680,054,783,852,057,349,409,219,977,223,416,645,735,
807,743,275,623,066,029,234,131,038,124,623,242,261,148,208,779,759,362,417,
624,079,454,287,447,506,692,685,978,967,614,784,670,687,200,696,459,394,335,
520,664,923,244,525,517,319,079,211,182,402,515,644,174,172,968,349,298,859,
729,102,144,802,800,863,679,701,504,869,316,007,185,390,697,079,888,614,728,
991,551,782,383,557,650,334,854,208,689,065,200,653,896,753,622,442,652,142,
661,914,280,936,600,071,816,544,100,779,520,718,325,178,136,314,027,180,771,
211,287,642,274,442,433,700,879,945,016,457,777,897,672,582,161,890,012,350,
566,978,246,280,767,401,862,918,375,883,755,112,796,513,149,454,143,271,878,
059,503,405,944,844,761,612,134,037,124,879,499,786,671,040,947,956,152,533,
617,884,916,799,381,500,041,243,478,623,414,949,680,035,514,078,668,171,080,
265,946,897,980,312,816,357,093,622,572,613,455,755,434,473,747,954,171,261,
513,112,123,512,467,711,065,686,934,499,704,269,607,136,099,707,636,691,907,
502,969,013,289,473,738,867,927,282,746,142,775,152,397,687,038,829,048,385,
586,637,737,323,630,200,319,429,577,000,697,718,174,730,802,946,261,323,503,
133,816,582,421,492,778,410,086,422,681,448,637,829,642,631,901,995,519,545,
333,092,853,089,271,131,226,345,527,973,872,150,112,273,333,175,000,077,751,
257,568,012,450,695,379,813,740,819,491,625,181,517,175,597,422,220,378,173,
938,972,898,921,052,644,882,622,590,072,850,592,958,628,370,309,090,889,501,
023,336,186,552,355,976,433,781,664,232,802,173,733,881,592,062,053,897,022,
193,807,196,639,835,206,450,115,826,861,795,581,691,677,514,095,122,283,922,
758,215,833,696,620,446,237,894,975,144,881,316,752,708,754,732,352,188,334,
454,804,550,739,428,554,264,255,377,118,262,026,315,878,217,971,131,131,668,
578,111,421,124,528,830,343,049,700,886,440,001,324,838,429,332,900,549,750,
752,871,320,607,396,027,926,172,606,433,837,255,551,636,551,542,686,591,646,
451,398,337,152,629,590,561,274,622,160,927,648,385,744,033,249,089,854,153,
114,592,589,832,375,120,631,796,401,301,052,884,602,802,761,117,987,444,345,
532,304,345,010,841,247,217,645,040,264,205,476,244,911,368,125,315,801,681,
261,446,495,104,099,414,135,908,182,885,205,319,845,553,291,109,072,865,593,
002,635,797,568,910,677,920,697,716,916,451,737,346,714,694,787,400,841,191,
815,947,029,568,188,010,363,672,084,785,371,143,728,401,734,731,881,827,077,
456,792,681,572,917,115,419,368,117,294,640,892,260,735,301,310,012,834,425,
937,237,419,032,319,862,729,161,494,831,586,891,818,595,602,386,676,885,776,
071,942,448,219,588,028,784,500,708,542,060,083,237,484,320,600,736,840,221,
874,312,953,971,846,376,349,121,184,859,140,829,837,505,983,885,840,396,135,
569,462,730,223,032,550,256,267,279,126,467,685,834,807,435,538,318,766,654,
567,998,086,364,334,856,494,597,478,825,428,874,544,926,117,412,263,008,832,
916,245,343,454,524,972,185,317,243,061,848,178,855,261,324,364,931,279,348,
210,653,090,359,385,644,765,310,906,285,177,295,921,676,573,793,776,700,286,
612,238,636,364,613,617,326,099,686,601,037,830,885,311,713,711,780,071,765,
818,955,037,175,930,634,375,398,501,029,737,426,603,435,583,735,946,873,040,
290,957,254,137,516,001,386,985,231,761,735,890,153,269,894,523,912,642,391,
328,780,220,052,639,622,158,743,733,994,427,018,917,862,703,371,423,383,839,
456,127,264,882,092,153,628,340,275,759,816,152,688,296,370,188,692,288,925,
975,932,152,879,869,729,127,087,218,523,096,229,278,466,405,609,506,073,450,
082,960,807,179,525,901,260,972,072,548,062,307,130,042,137,638,641,519,359,
675,252,908,158,193,911,001,458,243,882,781,303,579,230,666,235,467,084,034,
579,104,591,105,394,411,767,709,831,300,023,181,320,822,727,352,035,065,834,
241,934,978,145,742,622,651,301,870,365,966,692,089,919,708,810,150,517,976,
562,581,453,560,060,876,395,913,740,193,137,334,031,090,360,307,899,502,944,
105,552,721,831,773,265,701,606,729,824,453,908,488,051,331,866,821,279,242,
195,676,621,513,170,676,678,123,438,515,468,557,911,907,740,779,246,943,428,
713,185,123,365,426,900,433,677,200,473,317,011,401,872,586,440,304,008,162,
224,252,362,317,293,986,077,766,303,684,799,472,537,598,492,775,503,122,888,
651,094,399,602,824,324,092,523,050,473,030,787,762,064,834,686,324,628,226,
987,196,392,449,141,582,967,997,463,300,436,898,357,393,832,762,198,503,216,
140,741,885,849,484,257,421,792,930,145,066,737,251,142,089,996,957,672,519,
278,669,046,243,027,864,512,147,496,993,162,684,431,196,244,310,358,309,811,
128,855,456,588,924,157,390,737,235,793,076,343,310,342,186,619,970,785,623,
008,668,521,682,870,535,956,590,445,291,164,530,673,777,927,425,423,594,514,
159,222,084,260,468,861,548,962,988,779,234,106,624,424,264,963,035,924,304,
594,958,952,271,769,707,733,492,419,275,356,985,337,725,130,124,986,431,232,
886,970,746,828,942,059,937,102,915,259,395,273,505,808,210,990,615,989,313,
103,842,596,808,696,089,708,764,921,555,162,140,182,055,087,832,579,923,705,
460,469,913,007,820,613,328,234,502,430,394,371,885,640,372,952,152,604,387,
177,347,230,771,682,189,381,794,646,913,773,626,504,365,573,810,037,792,565,
993,722,495,333,336,015,368,751,596,568,285,594,714,583,158,908,093,821,508,
973,976,403,214,382,187,600,662,861,033,589,276,597,251,732,775,761,151,569,
776,459,322,207,857,278,117,082,833,549,769,922,376,415,596,177,423,036,910,
721,161,545,676,990,676,117,439,965,132,211,856,743,168,737,556,713,177,601,
535,499,696,222,845,796,613,294,635,680,968,207,988,865,887,569,446,687,826,
298,554,245,460,826,504,439,436,914,290,572,058,686,810,310,509,196,935,929,
638,962,860,140,644,766,284,195,488,603,280,963,014,581,143,571,769,842,459,
119,314,131,110,123,662,775,505,937,712,350,902,341,859,429,475,852,452,044,
663,253,027,639,572,304,865,797,896,757,207,783,153,854,980,417,307,308,327,
945,245,688,579,938,334,559,666,422,277,616,972,029,270,681,100,334,271,621,
081,296,654,757,294,712,140,907,176,046,306,488,037,217,015,372,570,834,721,
648,027,578,372,159,070,588,527,767,103,151,352,088,317,789,985,449,749,815,
135,706,713,501,125,719,515,659,240,266,273,103,351,804,439,845,545,311,233,
239,494,137,762,951,168,748,355,074,681,952,880,037,764,637,423,095,730,910,
834,036,493,834,228,508,843,359,127,554,002,871,932,720,741,110,131,280,108,
377,801,838,661,664,888,783,339,844,910,862,247,989,222,358,765,845,193,355,
122,692,510,009,100,823,300,028,736,597,449,918,884,115,860,252,173,398,859,
287,952,571,175,995,628,379,979,415,686,354,455,272,880,854,274,286,552,350,
107,241,214,291,315,635,967,547,829,178,592,190,690,894,239,878,431,362,665,
510,338,306,255,427,953,874,708,554,313,439,589,683,841,618,526,134,958,583,
820,987,323,396,605,075,285,443,278,516,379,048,987,106,837,759,502,903,210,
700,809,225,486,411,067,228,759,944,249,911,340,500,425,729,217,469,874,404,
179,737,693,751,615,473,575,621,934,269,957,011,286,828,804,769,754,984,919,
034,459,360,159,555,446,363,022,332,414,113,142,064,411,533,828,861,547,224,
308,908,879,021,840,753,303,450,052,545,082,127,316,998,593,894,713,036,098,
608,198,973,980,322,637,912,196,341,776,147,158,175,561,894,741,253,685,687,
899,657,449,085,722,653,018,358,316,489,677,304,267,754,191,284,294,185,492,
738,378,111,288,110,303,281,575,386,342,133,558,164,085,599,000,717,499,335,
175,396,307,644,278,542,217,812,124,423,686,853,741,403,092,804,683,977,944,
311,827,759,650,590,432,445,028,201,180,594,452,156,002,236,373,666,477,881,
250,666,937,176,271,248,239,716,031,690,283,641,667,319,050,098,232,225,042,
748,628,169,128,039,320,885,568,593,853,584,833,636,763,919,094,596,344,974,
768,763,030,453,417,808,493,576,755,890,470,341,783,176,578,146,740,670,048,
709,454,402,656,113,953,767,535,472,540,238,580,928,880,874,264,071,973,204,
317,961,191,733,401,209,561,357,611,007,028,106,597,567,755,100,487,536,843,
786,188,568,050,524,030,052,696,360,151,022,211,883,424,007,763,320,328,612,
314,926,930,654,257,807,245,120,841,102,395,973,266,162,503,698,600,757,769,
273,961,321,708,850,050,333,097,996,580,543,003,766,044,609,384,759,749,114,
797,953,311,571,264,038,228,071,202,258,743,364,839,101,850,526,234,422,165,
032,126,684,259,657,865,866,382,280,331,796,829,106,649,865,354,502,012,890,
123,252,314,060,723,965,374,713,205,478,239,167,301,323,732,869,473,669,377,
909,267,828,597,757,253,921,984,968,455,569,298,607,776,095,411,355,919,053,
662,426,460,921,373,438,759,433,045,080,739,807,442,249,211,192,420,758,610,
852,941,216,364,301,961,764,657,965,090,786,662,385,281,378,962,580,128,767,
025,472,036,502,811,281,217,952,098,473,827,740,903,687,828,254,724,648,115,
012,109,240,820,827,330,024,993,967,758,295,917,618,324,896,491,789,383,874,
762,269,947,332,112,576,555,001,472,766,662,472,840,974,469,238,573,084,450,
687,635,159,890,359,089,333,286,916,064,405,660,660,489,737,414,829,392,527,
821,230,736,301,384,336,602,870,543,427,348,441,695,239,868,341,862,430,257,
749,505,297,362,434,137,070,168,404,579,162,857,182,602,275,698,043,622,787,
839,565,966,850,757,872,126,180,281,946,907,707,589,334,729,724,000,218,416,
298,178,983,071,813,259,072,630,996,523,704,772,989,557,553,030,109,738,057,
798,061,881,425,044,941,967,424,320,104,856,934,273,009,347,217,092,860,673,
297,072,894,796,893,870,372,437,137,568,342,040,784,773,556,064,815,160,014,
600,654,572,412,590,770,880,881,646,253,168,405,475,929,551,384,941,789,824,
827,095,766,654,384,011,390,165,878,135,630,759,822,319,162,966,479,532,519,
283,300,074,308,007,848,688,201,027,530,307,727,282,969,743,235,644,537,391,
154,923,642,898,207,815,377,982,366,411,196,806,177,664,096,075,815,066,213,
204,891,221,985,566,561,898,525,282,336,487,077,710,796,386,686,054,276,189,
491,707,207,403,823,867,247,486,150,200,060,543,197,630,100,566,153,639,842,
878,095,759,391,732,220,733,654,493,627,467,110,570,027,020,561,760,480,887,
222,888,191,716,292,493,961,731,144,277,464,574,978,128,572,623,750,185,542,
052,640,794,422,368,984,908,328,485,178,335,661,977,167,770,605,882,680,009,
696,653,890,286,661,155,123,954,072,876,301,687,582,409,755,258,243,186,271,
159,789,356,772,410,253,677,133,820,278,349,476,090,467,077,148,321,357,435,
113,445,408,674,119,306,142,104,979,888,273,729,811,788,331,750,286,553,862,
466,278,431,054,157,543,014,551,064,466,057,345,025,739,092,225,018,494,368,
628,533,907,155,787,739,236,294,749,282,834,844,148,767,556,448,437,929,603,
756,278,792,858,772,209,242,758,859,189,172,142,597,451,547,494,614,039,314,
928,464,178,408,100,936,186,745,919,261,313,192,556,252,706,309,304,876,287,
160,032,152,602,875,771,794,664,456,057,085,525,970,433,990,776,929,324,807,
719,213,119,279,395,433,923,463,967,049,019,747,417,723,214,434,414,011,468,
359,763,872,847,692,469,702,786,464,367,503,857,050,858,429,598,861,806,863,
275,429,308,732,790,675,102,658,669,403,299,627,435,375,164,979,602,051,606,
926,255,479,834,225,524,020,553,344,056,177,367,677,474,269,078,586,947,374,
686,929,636,644,081,150,410,543,193,137,358,250,246,532,379,655,628,152,365,
390,956,061,293,145,259,883,712,918,434,616,081,901,791,328,023,238,975,151,
290,582,135,655,470,846,340,664,476,581,233,381,470,881,052,433,007,508,836,
333,015,873,622,112,136,665,019,561,781,548,889,981,159,850,941,677,110,416,
138,778,736,518,513,259,260,277,324,306,486,488,775,189,588,619,117,206,155,
411,593,588,260,537,585,202,022,347,420,165,144,112,901,311,668,645,008,491,
446,794,785,037,743,146,706,272,517,630,591,808,122,419,745,763,178,066,032,
416,990,168,415,558,174,164,392,469,002,698,902,976,904,443,362,951,660,233,
140,511,142,138,997,289,993,929,498,469,145,788,600,422,237,321,894,529,125,
058,891,235,349,478,377,823,279,091,620,857,642,264,466,163,542,287,656,477,
826,517,466,794,205,575,574,657,206,111,818,927,512,159,860,008,591,210,512,
594,495,254,664,824,417,775,527,836,550,218,959,472,904,523,516,168,597,097,
069,632,360,325,504,983,389,727,071,429,541,743,951,028,998,421,011,924,905,
271,162,752,168,417,836,135,747,098,502,987,135,560,824,041,604,737,156,737,
766,940,441,030,232,989,474,004,192,992,688,401,702,651,380,658,194,871,197,
742,734,261,905,241,601,665,846,475,773,476,105,538,456,176,256,269,707,857,
265,703,443,841,818,086,000,843,774,762,632,355,784,350,889,733,611,755,779,
013,484,565,313,999,552,768,445,555,033,221,448,878,314,380,348,171,314,264,
095,992,631,512,853,649,079,758,843,645,557,478,758,006,512,691,165,035,280,
081,479,201,804,292,509,541,702,872,864,333,688,130,335,205,620,283,282,733,
522,006,536,032,277,543,354,360,227,050,736,514,210,315,234,540,259,728,412,
104,471,322,851,302,817,328,106,446,819,436,657,519,566,840,202,082,121,049,
684,886,497,611,488,574,488,473,034,601,458,723,509,479,659,894,808,034,039,
571,877,687,668,208,819,315,509,635,522,426,907,389,129,226,748,774,326,672,
353,022,456,570,410,123,651,842,375,037,261,921,952,016,686,101,798,752,645,
880,152,537,144,985,382,516,717,981,255,662,656,196,849,572,371,695,961,687,
394,811,626,543,101,261,297,508,357,980,037,812,171,979,955,952,206,797,435,
221,024,153,178,707,847,228,042,432,100,413,864,603,087,089,693,214,223,301,
639,959,348,531,993,153,257,507,488,014,011,248,260,392,454,090,076,805,535,
868,818,484,791,355,364,823,850,855,596,355,148,834,595,026,469,562,265,991,
340,398,145,242,265,845,801,218,069,473,723,916,320,260,454,134,740,980,205,
669,473,389,511,688,778,708,801,842,965,575,672,897,608,109,727,951,259,416,
381,453,599,506,385,802,624,014,981,020,743,377,850,057,703,803,536,296,130,
282,207,153,868,149,252,808,805,203,002,919,389,493,088,938,928,857,430,488,
927,508,355,628,885,269,225,552,842,962,578,153,035,144,998,861,365,691,116,
481,357,113,145,347,349,489,454,937,932,478,269,523,974,705,990,305,715,374,
772,255,987,181,912,677,948,170,883,292,403,617,139,140,456,393,621,285,266,
899,136,076,911,591,316,403,507,913,791,329,876,505,255,730,151,429,227,348,
383,505,571,489,159,249,990,133,141,395,211,526,538,952,758,671,126,511,669,
411,086,663,836,842,101,250,554,991,085,705,632,067,472,884,758,959,347,100,
704,702,794,079,759,127,941,309,652,675,887,710,102,566,486,014,998,713,505,
753,929,512,230,946,704,549,991,100,412,966,013,524,876,345,918,991,143,358,
572,453,289,452,062,672,133,345,644,201,707,659,883,799,703,475,700,696,877,
885,219,531,577,884,033,604,230,786,967,883,094,551,579,799,759,928,970,558,
007,222,369,706,982,402,339,128,914,991,500,353,125,600,971,602,692,408,056,
926,734,785,777,637,928,033,619,004,837,080,696,807,754,512,568,819,270,507,
095,914,400,969,184,220,762,764,137,989,646,453,006,029,582,688,558,598,313,
957,923,278,412,943,576,156,951,671,864,017,144,126,898,034,810,994,718,651,
317,181,387,240,567,119,651,953,517,479,717,140,266,192,881,506,406,690,566,
242,096,959,117,823,419,673,954,386,608,302,171,695,169,985,085,004,978,901,
038,528,316,174,920,846,027,753,948,162,425,750,622,162,237,023,383,118,912,
730,330,603,799,944,445,888,506,465,994,269,228,971,944,669,450,120,720,222,
384,177,676,777,427,899,907,901,872,989,064,858,828,103,242,677,416,693,629,
157,905,689,239,927,929,678,331,241,001,559,969,397,281,054,861,555,140,212,
578,586,506,094,988,093,686,299,166,287,598,423,487,850,103,638,921,970,128,
318,918,166,371,280,443,737,310,831,873,128,957,517,190,944,561,530,086,672,
556,122,778,531,828,052,891,933,397,887,874,753,603,269,024,162,571,217,536,
136,774,963,947,547,686,099,850,925,079,157,916,107,664,834,385,072,567,672,
562,944,778,282,312,067,585,260,074,764,402,185,975,743,071,122,833,780,041,
664,583,821,424,016,382,697,541,226,810,435,330,073,487,844,605,163,323,000,
782,395,921,749,826,734,837,237,827,115,836,629,795,989,707,162,079,551,190,
831,469,517,950,680,746,901,213,182,073,534,626,603,666,058,537,582,040,246,
463,261,241,970,738,772,775,380,263,232,245,300,790,181,545,360,475,831,416,
752,415,193,445,661,527,868,705,997,742,738,424,357,695,892,119,687,390,907,
842,854,030,523,552,020,735,598,136,489,125,870,196,050,291,321,034,620,608,
411,653,885,900,845,312,262,367,611,738,434,123,780,060,478,385,242,510,333,
909,334,157,389,599,896,550,174,740,611,147,686,581,568,234,840,617,419,779,
916,374,091,965,577,794,047,206,114,447,813,346,536,028,290,813,442,154,065,
330,604,861,575,824,969,101,499,094,512,771,845,084,646,423,998,407,255,749,
198,138,080,969,146,587,527,462,250,184,527,425,935,143,883,473,198,115,408,
143,709,864,593,199,405,700,294,937,388,422,411,300,751,991,702,164,730,451,
645,011,885,004,891,926,839,522,122,833,469,448,847,882,693,423,929,063,800,
355,816,611,412,679,522,295,315,894,367,300,631,141,500,015,459,357,738,504,
097,689,346,286,923,663,986,475,194,777,323,063,153,372,839,588,011,395,642,
958,679,706,556,261,750,220,263,991,911,179,015,480,666,549,979,880,266,739,
924,677,940,593,684,096,177,337,300,931,234,207,675,292,835,217,558,846,253,
031,251,837,107,130,268,835,021,724,104,541,934,436,933,266,730,617,218,195,
586,008,234,686,289,502,415,335,190,736,201,808,978,807,417,229,595,929,541,
581,285,390,537,907,109,122,380,411,545,058,269,388,979,901,187,921,181,587,
642,394,677,027,320,430,633,959,914,255,334,770,888,659,710,175,434,846,882,
543,796,463,479,499,233,963,686,055,184,682,135,641,332,138,499,155,086,044,
177,958,104,301,375,500,992,012,183,889,016,728,832,409,334,230,018,717,369,
351,334,850,073,362,705,936,822,224,576,750,401,636,581,930,313,597,995,848,
189,074,187,566,502,400,302,695,118,256,307,010,320,158,289,535,550,991,964,
315,689,492,907,432,324,874,976,513,618,255,931,507,609,173,644,215,194,360,
710,487,458,990,860,960,439,033,158,639,273,640,690,401,715,843,004,179,907,
270,231,855,568,734,400,061,331,373,138,614,737,604,147,013,665,175,606,611,
100,545,180,398,121,198,044,471,239,693,131,231,662,765,256,143,729,740,591,
621,911,734,951,486,764,509,911,189,984,292,924,617,453,650,949,181,639,579,
488,892,333,576,142,088,065,644,551,441,471,065,477,374,386,910,572,134,459,
964,309,042,620,555,697,489,819,878,984,091,369,157,655,995,497,475,822,460,
655,346,251,818,812,239,068,697,051,930,776,110,252,126,405,224,028,850,563,
021,455,185,174,972,483,566,227,793,511,445,166,117,224,148,005,606,010,162,
079,891,686,569,773,876,989,707,179,026,800,981,538,463,310,398,777,777,935,
350,046,087,830,533,338,756,404,345,630,780,890,660,171,034,888,867,953,783,
852,472,289,438,277,351,279,106,590,894,172,578,417,397,156,841,713,217,007,
043,593,650,225,986,354,296,180,985,693,942,148,801,307,255,207,694,729,331,
758,252,700,644,993,216,336,298,106,879,856,885,931,759,486,913,946,490,835,
707,814,072,161,436,758,748,505,764,119,397,308,823,866,054,772,928,842,871,
207,950,541,934,416,848,552,211,019,534,571,520,903,633,664,574,454,263,998,
903,655,270,498,383,715,771,793,132,242,905,150,393,788,133,050,392,444,737,
584,804,739,544,977,335,840,283,231,878,701,828,647,917,706,342,104,448,248,
387,488,143,272,128,262,051,334,731,493,972,524,606,298,893,952,430,278,979,
938,980,201,097,512,348,354,508,457,389,137,085,653,661,677,190,725,093,195,
511,387,974,300,184,509,512,704,145,011,837,684,707,576,686,220,209,840,600,
240,701,186,923,271,139,778,831,783,870,006,758,691,768,521,227,995,704,651,
260,748,607,399,225,993,781,736,350,145,146,409,480,065,507,769,596,829,303,
193,034,095,266,854,061,073,862,495,962,827,388,970,036,959,299,242,185,868,
688,142,816,390,222,577,101,350,001,474,796,043,500,032,361,530,603,342,911,
476,556,769,025,802,289,433,432,964,020,771,163,810,038,382,211,973,286,148,
848,899,272,354,858,785,848,352,419,513,112,406,471,162,191,262,158,228,627,
432,574,798,710,726,408,440,048,384,779,443,908,606,044,008,250,583,970,273,
386,213,211,115,680,243,448,148,273,051,110,101,452,298,478,708,599,224,648,
151,445,527,830,328,671,540,848,743,166,655,972,580,493,655,081,664,402,860,
770,931,313,365,270,727,600,611,979,421,208,594,032,508,895,959,098,864,903,
018,456,645,909,846,808,404,410,328,533,490,273,601,320,169,241,406,071,679,
259,749,051,423,051,230,615,176,393,714,868,862,530,159,955,119,809,356,343,
433,520,190,287,537,619,448,660,084,458,908,297,075,640,135,796,689,624,935,
820,337,889,476,566,780,646,735,991,169,252,074,943,401,609,002,036,270,215,
419,173,468,726,182,448,730,575,459,362,541,862,486,733,628,771,531,327,848,
012,469,931,734,027,600,496,142,283,772,869,643,548,582,813,428,787,495,963,
245,489,860,883,149,293,734,660,079,219,199,009,194,460,290,088,799,146,730,
772,406,980,471,328,870,358,260,687,193,509,297,326,798,257,012,417,428,188,
491,731,401,614,252,873,723,891,757,655,894,030,694,433,085,827,413,769,139,
745,326,354,926,031,844,072,224,628,012,757,104,938,691,430,110,888,310,111,
749,526,132,852,999,499,892,458,126,597,449,202,191,905,715,257,512,300,448,
709,521,404,747,893,492,630,399,846,933,990,120,076,677,092,400,460,847,925,
365,618,513,577,044,274,112,608,456,553,557,033,076,042,372,521,242,930,096,
442,511,427,145,287,609,496,853,533,893,807,425,643,095,967,544,316,069,679,
312,970,246,355,338,042,107,542,352,864,221,337,808,554,430,039,926,365,733,
193,762,502,371,165,316,698,813,047,806,223,281,902,867,000,084,703,551,903,
570,988,581,317,508,770,248,131,674,678,048,816,590,227,264,336,772,552,616,
790,459,849,963,567,836,532,532,669,817,355,407,788,128,769,688,668,489,564,
003,863,663,203,005,707,156,793,935,468,400,652,889,018,210,017,416,389,758,
568,256,969,612,227,320,133,823,092,451,787,283,399,861,042,063,725,197,809,
798,606,220,386,367,915,413,736,797,510,241,229,703,830,536,724,507,958,543,
914,556,058,730,012,055,506,713,605,535,007,926,062,753,733,881,711,094,958,
512,138,521,289,650,522,267,454,300,661,740,645,973,108,890,172,394,710,562,
522,527,397,215,132,637,751,069,004,721,956,109,272,098,424,424,845,979,041,
958,106,105,964,082,148,387,305,797,457,631,684,094,550,935,407,542,507,424,
431,837,800,534,606,025,467,107,074,430,517,921,278,365,307,672,479,108,857,
118,092,811,063,047,616,175,155,306,113,502,919,075,294,433,073,565,341,200,
576,744,821,879,015,121,561,351,599,281,930,224,143,426,638,606,743,069,242,
990,223,124,519,449,486,073,297,207,851,017,472,862,369,501,177,051,994,251,
302,321,605,668,970,553,341,689,286,345,398,761,435,344,293,367,752,289,093,
328,611,589,064,927,872,406,117,019,329,188,725,926,067,684,919,576,135,289,
600,406,232,373,379,350,255,661,502,237,403,850,921,249,864,876,931,172,512,
867,337,180,222,162,341,626,673,678,230,343,858,526,973,667,738,807,895,361,
278,819,917,403,957,296,689,784,751,593,838,990,372,415,974,877,721,215,547,
064,978,558,334,174,740,054,440,971,339,795,521,684,494,385,820,344,101,756,
449,968,308,865,325,510,765,083,823,139,860,938,234,353,318,305,221,711,635,
838,635,456,132,210,764,091,190,787,520,670,486,288,001,829,247,791,526,547,
303,419,680,646,585,522,282,220,238,643,850,032,855,291,120,612,783,407,516,
449,849,108,875,258,955,415,494,490,798,507,374,915,308,156,579,935,533,707,
799,221,915,534,447,697,052,162,750,648,607,498,717,396,927,778,204,374,184,
687,607,223,378,245,617,837,272,948,406,188,766,246,577,309,638,697,610,663,
689,116,357,197,725,639,704,415,428,820,260,090,133,333,020,246,596,348,006,
672,356,428,254,667,070,379,036,931,384,085,018,160,234,952,157,867,281,656,
200,460,879,830,587,735,822,004,631,986,918,699,192,124,953,624,128,497,225,
254,968,153,433,242,993,150,766,188,549,894,755,485,129,610,986,383,522,815,
663,164,222,135,011,279,333,249,766,370,533,340,759,585,762,839,290,155,881,
763,900,150,258,752,460,785,208,295,837,169,064,643,132,156,292,039,492,982,
244,093,177,341,651,064,671,408,615,379,199,355,730,072,666,187,206,374,465,
100,204,012,555,130,994,822,149,352,328,194,592,088,697,711,535,574,755,409,
539,194,537,973,799,479,984,534,588,987,395,315,168,417,485,640,395,185,643,
381,523,075,068,657,875,437,436,901,652,702,301,719,613,114,093,980,585,093,
379,072,233,657,299,675,335,143,246,648,787,220,301,225,891,528,916,207,976,
892,013,297,365,476,093,759,377,047,984,923,232,461,141,098,477,295,988,653,
831,317,031,415,342,728,024,583,525,356,975,140,037,813,857,392,543,426,134,
347,900,159,078,817,272,443,500,642,100,202,088,985,891,488,528,348,774,196,
903,579,819,865,538,838,040,245,297,003,464,957,520,466,855,150,972,124,899,
560,143,451,917,701,704,416,648,946,440,422,516,691,811,631,611,849,107,207,
172,303,423,200,584,177,715,180,021,382,320,213,701,607,156,785,077,031,388,
981,205,448,325,163,903,164,517,698,145,541,391,165,003,930,615,346,110,830,
660,992,068,356,550,806,766,264,897,975,592,619,302,479,586,703,044,578,507,
475,972,478,803,794,095,479,815,037,228,056,307,980,027,508,209,950,244,096,
558,679,201,899,610,640,252,612,702,301,099,063,025,040,205,310,281,833,915,
410,660,455,035,016,022,689,740,678,318,235,326,262,200,561,030,448,399,790,
681,237,958,127,345,085,120,939,652,970,760,925,871,405,208,318,931,195,071,
051,394,811,848,646,054,554,765,689,483,676,186,907,255,392,148,092,603,690,
223,979,942,421,199,948,392,488,929,584,491,237,818,973,346,829,256,387,183,
158,961,502,783,367,465,914,662,358,936,699,744,159,351,763,929,264,979,230,
462,665,712,070,187,254,103,504,068,328,359,675,473,961,048,908,985,045,506,
785,799,099,808,863,025,739,700,091,636,301,625,216,916,804,251,749,473,210,
622,086,643,882,385,547,299,526,782,811,342,651,195,311,778,368,952,682,032,
014,919,602,485,355,807,561,763,695,863,299,515,971,494,673,089,347,016,293,
997,032,559,611,077,183,127,906,926,709,571,247,439,964,837,521,772,650,657,
036,386,211,192,994,028,644,724,711,872,880,387,348,238,197,394,548,464,976,
958,275,866,964,303,728,332,374,731,117,528,820,620,531,858,295,632,966,766,
545,806,086,178,046,536,407,258,963,347,147,089,817,578,662,380,160,139,881,
903,731,935,255,150,500,100,516,473,549,828,538,570,676,922,937,526,405,408,
960,931,955,365,059,885,653,783,221,604,958,097,505,608,703,934,425,862,255,
767,161,557,285,828,860,131,146,285,216,912,474,250,081,661,736,578,561,990,
698,051,794,579,188,929,648,306,801,482,569,382,693,181,861,001,960,363,766,
945,995,205,501,755,468,471,222,049,888,264,325,100,223,864,613,190,848,268,
618,912,352,184,875,757,597,891,295,669,230,440,450,401,302,591,071,662,065,
580,792,401,278,978,177,978,337,071,834,401,731,328,489,545,742,791,085,036,
356,799,501,597,287,047,100,955,243,881,823,107,351,901,278,119,253,826,097,
779,243,614,329,370,130,395,988,890,132,926,301,174,597,233,635,419,514,819,
693,776,843,877,791,124,923,867,396,991,078,864,767,203,765,360,674,840,971,
735,232,778,330,566,011,307,051,303,841,673,903,119,227,173,618,186,250,583,
792,349,340,538,328,788,534,512,853,876,157,321,293,118,218,405,271,774,886,
658,366,406,430,290,057,793,839,409,851,209,750,699,045,277,112,419,566,355,
895,137,263,546,858,649,518,025,133,716,256,243,814,650,274,446,430,246,385,
028,643,625,442,026,969,641,888,145,807,347,877,288,846,379,586,441,422,837,
697,421,272,569,210,692,107,086,680,658,369,887,705,605,182,138,713,944,414,
450,218,479,811,778,555,216,301,630,996,787,111,889,785,311,455,666,354,826,
131,909,434,118,925,504,779,439,898,530,339,771,530,372,038,584,062,462,039,
342,185,597,098,299,579,918,018,460,518,838,495,793,404,922,015,343,059,215,
429,795,409,080,966,084,742,339,768,144,207,940,815,555,254,973,615,839,980,
652,076,260,574,183,931,165,469,972,634,580,382,671,948,412,274,263,549,514,
689,744,807,253,319,742,704,680,892,414,409,755,619,803,160,925,933,147,958,
650,135,685,136,385,995,452,731,577,011,421,818,425,648,002,978,173,533,940,
018,499,759,960,058,930,942,198,419,980,067,536,406,186,994,353,086,548,090,
047,294,886,886,399,134,696,641,252,503,929,656,286,380,043,936,231,285,322,
209,927,091,282,939,724,551,040,284,871,846,935,314,629,092,504,409,326,967,
481,853,408,699,263,676,458,963,763,103,578,374,292,513,153,998,591,359,125,
567,492,107,860,051,951,798,628,276,117,175,194,800,444,135,272,754,079,048,
537,744,407,481,395,423,839,394,311,463,937,397,155,125,152,440,508,855,958,
431,732,367,253,109,931,293,934,667,230,921,310,451,268,090,661,105,305,583,
713,890,263,392,225,323,720,149,633,806,205,378,895,361,062,106,789,300,135,
066,645,796,529,976,891,473,164,378,104,024,202,658,392,707,702,980,585,515,
010,444,229,024,202,608,208,609,580,617,983,235,969,070,779,761,479,725,023,
419,807,825,012,734,513,176,434,588,592,233,282,066,769,661,728,426,613,680,
083,664,273,336,447,293,112,741,221,183,003,346,496,414,847,187,368,129,487,
146,442,218,907,716,157,998,811,234,848,011,406,514,742,137,697,162,926,991,
089,090,724,578,943,079,566,646,147,333,062,864,004,094,151,168,577,500,228,
876,120,973,793,821,826,016,779,295,058,738,558,179,760,911,462,952,832,006,
028,272,586,452,250,530,639,322,547,049,350,923,387,761,792,821,409,643,013,
580,603,350,901,458,999,767,917,112,620,592,621,989,606,843,147,532,779,187,
860,368,119,634,061,901,807,269,154,691,570,510,543,077,124,684,332,758,327,
282,047,929,528,259,155,637,164,778,829,628,215,669,189,376,827,156,731,923,
265,988,450,523,968,795,315,319,228,140,908,194,984,065,470,700,676,893,827,
134,304,663,176,099,232,570,892,162,124,417,009,549,277,148,332,776,941,540,
908,381,469,786,840,180,499,073,522,171,091,691,617,517,523,661,691,422,467,
420,785,977,746,405,911,546,431,475,085,599,170,111,961,882,823,671,081,646,
527,873,952,424,679,872,133,267,023,202,923,447,551,169,040,178,071,219,190,
613,707,312,123,201,815,311,602,739,390,116,633,646,213,955,839,702,668,530,
402,236,442,954,173,048,387,414,378,792,845,999,401,182,411,510,552,930,478,
582,532,621,060,508,877,951,231,125,781,505,603,708,938,727,171,138,324,239,
748,924,018,038,942,084,767,827,340,634,293,535,940,695,606,582,599,154,501,
410,303,123,787,043,093,030,097,067,645,991,215,603,887,742,237,082,692,581,
250,681,122,410,505,777,455,720,483,668,316,488,845,883,753,675,414,011,408,
182,374,287,514,628,015,863,127,789,228,072,434,657,296,313,520,824,647,292,
165,515,930,405,080,761,119,880,103,088,946,497,631,591,541,347,909,794,000,
680,543,099,694,599,505,808,105,411,927,548,587,953,888,528,226,508,517,988,
938,433,490,731,071,885,901,443,541,027,487,975,585,096,966,480,827,693,404,
402,408,474,964,718,567,381,069,688,301,420,495,007,702,863,727,750,674,839,
378,059,665,007,711,403,702,979,523,135,987,020,383,409,691,221,838,622,455,
708,647,407,449,228,588,893,164,642,264,761,727,957,954,017,698,536,264,313,
541,988,279,536,593,419,004,242,073,486,464,423,418,198,965,527,777,901,594,
817,260,717,266,949,448,895,218,002,825,643,201,379,565,546,888,079,298,188,
348,558,041,539,526,952,604,050,838,416,004,044,832,352,468,343,206,969,957,
143,347,672,774,202,509,221,040,731,253,591,978,984,893,002,991,419,200,465,
694,873,117,305,461,362,582,365,097,397,105,869,391,358,016,469,190,120,793,
042,631,715,768,328,510,343,029,344,547,936,718,442,490,268,772,519,417,748,
450,913,029,808,074,261,709,965,905,877,210,631,801,337,587,875,023,023,154,
901,178,812,855,238,195,291,406,475,652,541,591,399,998,826,146,433,558,188,
139,261,304,573,410,301,849,312,015,129,546,742,263,007,383,221,760,953,467,
207,122,198,103,707,915,168,852,681,778,619,524,982,601,836,105,344,756,472,
655,972,320,262,232,174,341,563,707,060,829,958,896,817,358,355,279,794,800,
187,563,189,917,584,541,315,660,406,314,088,125,156,724,512,489,437,754,916,
334,307,859,636,491,518,883,382,036,053,756,648,866,621,172,072,335,216,297,
438,527,783,287,898,152,480,371,323,324,393,248,682,303,959,485,739,729,326,
158,531,832,609,486,107,208,581,037,198,784,514,219,509,732,158,793,032,243,
682,782,417,303,085,120,312,961,133,195,014,440,329,232,167,336,382,874,915,
017,720,575,816,270,656,321,647,864,798,335,117,833,519,585,067,548,548,130,
629,209,579,548,125,855,278,395,461,975,521,706,185,830,999,424,305,036,874,
119,102,368,676,301,542,630,257,807,701,232,703,562,279,143,727,278,115,225,
963,970,735,547,225,666,130,610,084,138,750,245,786,052,827,896,222,308,659,
630,281,024,306,800,092,827,053,955,902,879,077,426,741,819,909,363,125,498,
271,980,423,094,827,129,372,176,422,087,086,980,296,414,152,740,063,127,684,
006,660,104,254,096,964,803,709,276,854,238,196,644,009,412,929,805,388,125,
658,133,466,181,655,233,546,289,288,697,712,386,546,984,302,002,799,841,202,
296,105,987,639,391,890,102,766,498,194,666,723,776,732,873,854,239,498,545,
764,742,655,327,312,718,390,396,135,252,911,080,097,105,902,356,675,167,776,
364,185,935,727,108,879,400,174,006,909,125,238,283,527,822,103,228,794,821,
347,634,855,801,785,984,826,573,456,364,101,237,161,725,454,686,607,822,917,
368,879,556,997,023,903,838,244,547,265,350,258,495,288,962,249,817,340,331,
292,843,430,302,865,077,729,317,782,958,419,159,747,864,347,927,019,080,775,
553,706,055,658,992,953,783,621,508,687,505,608,304,143,528,285,906,640,680,
092,289,346,284,480,956,069,728,116,667,361,646,674,185,186,652,407,822,276,
623,899,920,948,904,045,624,789,347,796,804,991,966,784,242,512,851,902,902,
946,602,486,672,075,431,645,226,087,434,407,017,923,031,246,050,083,389,417,
988,584,458,023,266,412,604,773,275,116,096,648,990,766,613,837,935,670,970,
119,192,937,239,779,906,050,801,749,424,114,444,998,961,525,927,762,479,189,
160,674,141,555,883,083,248,827,388,709,208,774,700,409,543,825,847,316,418,
850,729,451,595,999,968,534,922,104,998,436,679,989,838,435,778,885,737,757,
694,588,494,880,671,797,639,130,618,200,791,481,699,630,450,163,512,482,113,
946,912,810,264,144,301,739,256,377,928,603,028,301,630,275,458,651,659,250,
063,450,369,653,920,162,735,950,891,193,573,062,331,551,603,483,942,821,174,
328,063,111,750,492,860,648,780,240,479,351,373,170,509,378,476,171,229,939,
169,118,489,286,664,606,005,387,916,678,810,919,129,558,282,520,322,358,774,
831,136,329,958,145,900,725,396,195,668,978,273,711,943,498,512,277,969,301,
871,998,592,488,319,858,037,254,325,998,402,953,906,017,311,498,643,988,626,
913,960,163,156,197,101,973,064,387,646,316,431,776,764,661,237,137,771,897,
692,367,488,127,622,674,279,720,788,411,198,136,728,380,767,796,714,944,562,
650,589,220,702,284,758,722,490,623,320,328,541,593,416,949,278,191,221,178,
406,014,977,424,325,363,001,773,638,476,394,432,918,905,865,215,117,813,237,
878,000,382,397,942,197,002,296,174,931,593,359,497,120,055,702,758,980,518,
043,056,188,296,798,171,815,905,355,478,948,362,368,004,908,748,275,669,890,
460,465,670,521,505,230,769,490,004,167,889,736,664,030,352,683,910,408,774,
003,715,573,438,152,979,640,732,617,799,977,126,325,295,499,956,064,617,005,
515,841,884,983,775,969,693,153,656,403,062,002,792,231,750,281,152,705,619,
129,258,554,809,137,998,293,105,986,235,396,369,312,819,907,660,335,560,343,
286,773,344,159,528,747,628,782,841,294,561,681,351,022,470,084,390,767,424,
450,215,630,572,407,121,805,144,438,435,995,127,077,540,622,889,784,235,752,
608,675,062,320,013,994,046,976,685,011,133,091,987,225,465,596,524,738,266,
507,991,145,110,185,863,463,583,999,941,425,107,699,535,796,177,579,011,778,
751,574,772,713,703,973,500,936,006,411,117,446,010,401,051,330,153,320,177,
531,907,467,320,450,320,200,860,035,720,692,500,089,415,275,919,682,149,760,
589,527,460,276,002,932,401,467,560,405,071,338,601,031,251,352,209,335,797,
183,852,224,631,412,193,832,144,697,138,443,869,938,528,045,376,005,683,272,
598,467,422,062,934,654,862,092,326,224,232,215,846,589,063,393,740,630,667,
802,497,744,020,017,542,314,939,232,805,649,496,169,459,560,310,556,255,409,
602,693,574,846,465,764,229,961,265,409,183,079,521,117,584,961,547,801,121,
201,573,507,314,555,579,939,113,553,545,354,577,411,013,450,382,303,690,456,
143,480,188,410,297,749,938,167,593,523,323,130,119,201,931,784,577,948,705,
992,119,623,680,281,047,962,215,445,678,138,097,207,137,764,025,047,427,921,
079,174,274,374,491,378,079,699,345,305,948,083,264,271,332,997,542,643,354,
148,058,283,787,731,807,910,575,569,240,676,767,907,804,652,598,746,017,155,
324,275,131,048,939,345,212,245,993,328,655,587,084,645,358,258,844,675,927,
793,708,930,496,571,856,658,704,083,677,643,175,949,963,364,388,662,716,423,
333,978,772,321,449,458,133,942,612,279,899,479,439,448,635,978,564,451,088,
978,272,107,737,423,944,671,655,093,511,546,172,213,589,058,651,800,595,206,
115,841,132,556,323,442,476,203,958,038,243,293,123,796,993,498,510,606,015,
065,461,740,073,947,645,877,096,952,552,671,523,233,975,370,251,435,096,362,
643,423,899,151,178,717,852,365,072,718,314,951,346,674,399,284,724,816,549,
154,825,760,103,816,117,819,148,660,884,455,040,753,782,242,670,198,903,735,
032,513,040,928,923,303,820,587,893,842,006,107,294,494,431,238,356,283,599,
000,212,468,188,489,873,366,963,883,449,527,720,519,929,946,135,640,735,588,
870,170,089,464,904,770,613,513,787,222,620,095,338,841,176,203,125,174,960,
516,927,097,563,824,379,745,156,051,449,757,086,343,518,929,281,588,814,119,
951,798,342,544,249,689,152,208,659,506,716,491,609,275,844,310,247,457,851,
828,045,807,261,594,214,794,630,002,784,523,131,421,639,901,965,718,257,198,
207,973,973,997,101,375,475,817,027,478,500,118,978,338,930,168,946,430,762,
767,819,606,690,739,320,492,607,006,976,267,775,037,633,735,163,676,187,737,
596,592,730,728,325,509,884,434,129,926,970,743,249,721,975,026,786,628,280,
339,144,891,989,257,327,275,076,507,179,582,928,936,578,907,348,292,327,742,
086,294,748,488,948,386,743,441,001,495,699,684,199,198,432,576,994,859,438,
026,998,034,092,746,379,376,985,436,232,701,211,074,229,389,894,864,394,226,
655,162,665,298,757,042,932,950,187,137,433,000,051,375,893,728,822,477,301,
790,636,853,438,376,894,358,835,306,505,622,912,839,131,763,862,711,391,932,
343,180,977,653,915,218,286,022,401,914,781,765,607,156,196,942,311,546,290,
045,111,314,780,882,987,482,293,681,544,211,408,860,844,924,761,169,634,878,
313,375,145,527,116,473,179,523,063,751,619,443,743,541,646,547,479,644,338,
241,754,787,678,105,720,049,380,759,708,493,588,311,129,832,023,530,981,536,
849,861,687,238,254,199,358,433,838,398,410,043,126,872,377,329,113,125,338,
450,160,813,929,641,549,022,433,419,917,879,155,261,656,534,730,315,907,264,
506,517,156,267,707,923,123,019,425,450,772,073,069,168,126,153,057,245,718,
816,517,584,600,492,768,736,175,146,880,550,261,050,444,612,442,455,349,071,
527,893,019,876,323,722,224,128,240,438,348,023,984,082,297,109,233,912,049,
722,737,789,652,266,564,945,787,530,079,411,152,252,377,399,338,535,489,104,
806,019,262,448,484,392,620,613,377,365,042,038,626,642,764,416,925,276,207,
774,206,602,210,023,350,389,517,137,608,756,350,298,358,265,038,175,252,645,
665,188,001,685,012,311,545,886,141,523,547,066,303,399,493,686,115,393,299,
751,909,672,262,633,887,774,192,357,093,916,850,191,511,056,862,177,915,297,
914,669,415,547,911,870,160,778,693,369,312,022,022,676,792,906,640,397,307,
258,061,448,325,565,792,573,055,696,024,418,061,828,841,421,535,004,324,297,
153,420,350,534,229,437,687,573,872,249,384,987,378,397,403,690,113,434,300,
492,918,528,640,279,026,716,515,412,432,130,840,644,124,077,809,611,150,210,
110,456,369,854,227,001,292,561,637,544,490,780,446,025,705,741,523,777,953,
297,174,383,326,100,496,871,229,487,115,644,373,001,388,944,213,783,333,641,
942,721,559,355,277,740,507,735,007,311,993,859,754,155,906,126,289,302,007,
190,660,745,058,792,052,862,121,460,646,748,074,111,248,192,391,135,927,966,
712,534,142,033,606,553,407,126,827,973,539,741,996,813,892,260,247,020,613,
479,177,530,961,879,711,960,086,170,459,626,614,349,751,494,722,417,970,218,
543,296,094,664,632,742,780,944,207,456,772,056,538,009,531,398,489,459,701,
151,193,027,579,362,335,548,292,141,853,202,102,133,362,913,305,087,520,896,
630,612,996,873,708,508,036,661,089,800,074,145,118,552,819,990,069,510,921,
093,759,015,259,181,585,923,858,958,005,389,411,109,735,651,540,196,809,652,
908,140,181,999,691,376,858,229,038,150,669,597,434,300,965,473,193,184,205,
402,672,758,156,176,603,453,078,584,655,386,747,623,915,449,398,799,685,869,
809,757,660,442,616,531,605,471,949,357,059,003,871,883,818,576,688,752,456,
526,820,765,298,831,195,424,587,183,280,466,264,928,931,595,964,058,455,090,
492,948,919,137,820,623,389,532,793,888,691,194,149,052,715,561,301,611,949,
332,493,655,787,868,466,863,434,623,170,759,210,638,299,278,362,362,632,192,
845,705,377,760,471,389,490,128,300,659,321,991,655,970,313,567,311,739,312,
348,990,643,193,586,249,771,018,935,705,207,445,041,751,078,559,947,573,837,
002,778,144,964,097,628,574,152,389,997,237,287,915,793,341,214,505,488,620,
027,610,347,398,491,235,742,134,186,396,422,787,226,300,888,178,648,628,962,
343,055,763,736,310,307,874,649,752,132,169,682,880,471,130,782,458,379,523,
149,576,470,760,867,801,915,764,428,607,604,948,972,389,206,198,545,549,043,
569,630,206,918,478,993,008,113,214,319,143,000,788,419,923,653,348,958,781,
382,666,330,461,410,179,434,850,150,393,338,356,523,912,910,742,568,975,195,
839,797,205,945,423,690,602,603,153,277,060,853,500,458,005,928,390,030,631,
619,093,634,076,731,454,834,264,515,072,383,005,636,990,244,590,793,876,806,
527,153,683,394,102,585,050,610,496,246,209,450,014,977,316,720,599,575,275,
497,988,717,637,843,896,581,572,694,431,618,465,322,299,725,394,910,097,483,
216,537,818,778,714,977,824,010,554,418,499,017,939,488,539,900,047,750,758,
293,966,072,332,824,370,671,640,534,009,740,126,016,852,106,476,107,745,936,
570,354,827,845,960,049,358,509,966,025,976,069,410,220,734,024,096,894,336,
456,053,755,949,909,977,440,853,432,172,622,145,466,108,959,287,985,525,309,
792,150,096,646,712,731,037,189,719,232,774,584,387,789,566,814,343,553,759,
263,542,379,425,131,254,574,555,786,810,299,580,984,280,715,404,555,402,843,
167,529,124,184,981,005,413,628,657,779,704,483,555,710,180,787,514,571,030,
293,129,616,516,954,825,177,717,676,613,409,185,380,214,037,280,232,059,973,
523,235,947,465,404,174,066,441,647,945,186,128,532,197,577,051,471,190,704,
485,117,437,697,474,532,955,457,460,488,860,341,054,222,641,053,997,965,029,
793,429,636,911,379,821,210,764,386,034,494,511,264,797,967,136,362,661,429,
972,695,856,117,847,699,225,076,049,276,236,540,062,723,810,570,223,018,768,
112,393,519,138,683,273,801,092,227,788,892,977,885,782,175,004,221,137,971,
463,752,816,522,171,584,792,150,124,472,931,205,373,180,588,310,764,043,645,
028,179,955,154,726,487,195,532,630,154,628,147,425,076,971,088,264,502,607,
642,206,108,677,912,844,800,085,481,174,961,801,985,008,808,030,353,292,483,
754,997,945,840,936,061,785,882,452,691,839,000,788,622,200,690,699,098,492,
662,468,397,905,921,432,575,906,905,267,087,842,653,461,863,485,692,108,270,
819,607,656,222,733,712,881,470,685,488,114,187,927,867,562,066,583,728,225,
573,589,677,893,360,852,417,899,493,513,536,634,579,242,802,256,992,860,347,
751,908,161,789,031,012,171,733,996,250,235,568,148,368,960,130,092,136,241,
374,133,883,554,589,182,304,214,452,514,676,594,970,600,383,746,736,715,990,
124,458,442,978,271,273,013,274,238,096,122,502,541,249,551,368,164,107,762,
759,714,926,981,485,841,067,601,158,890,590,892,993,561,694,874,966,603,090,
502,860,182,146,830,953,031,624,273,706,784,485,525,917,051,770,246,679,130,
988,634,742,389,808,481,296,347,805,052,355,240,845,682,917,506,370,123,256,
713,637,230,609,134,211,154,704,060,965,338,788,638,661,153,689,352,038,022,
490,570,784,998,685,703,902,780,637,176,406,682,297,990,993,020,997,711,977,
919,742,844,229,856,578,697,987,710,089,389,580,123,207,456,283,292,160,917,
244,248,205,979,932,722,847,857,844,367,800,359,195,813,997,569,842,584,068,
047,048,787,857,869,863,899,784,325,093,294,128,116,778,268,571,674,813,992,
675,638,137,943,815,314,613,477,769,655,187,094,875,698,452,793,104,199,722,
554,132,141,907,838,149,415,353,084,136,745,418,557,311,206,705,810,023,657,
109,127,893,005,556,045,855,498,314,430,365,469,263,609,469,693,461,638,941,
235,992,539,139,661,862,113,585,420,350,491,096,706,797,311,320,532,828,782,
648,856,392,403,672,679,796,987,837,384,581,669,510,149,709,354,137,507,819,
458,231,094,099,656,154,976,647,573,477,674,814,943,970,632,948,437,962,215,
952,017,198,348,360,770,963,228,316,789,755,918,334,969,358,808,652,916,622,
441,412,337,645,570,517,000,701,073,594,481,065,612,419,060,912,628,627,786,
482,060,933,550,720,274,518,997,219,988,768,859,235,911,383,519,795,765,243,
575,541,672,168,199,338,035,587,154,554,926,593,803,923,033,223,389,820,582,
356,804,937,826,435,137,912,067,052,773,691,051,097,000,302,630,645,156,918,
062,096,576,745,257,006,988,928,389,449,203,213,973,409,951,985,111,283,636,
020,456,422,726,592,303,590,120,340,966,033,081,973,760,036,528,124,136,716,
201,733,297,333,732,360,366,879,568,315,236,078,355,685,949,620,527,457,733,
177,884,534,307,064,400,828,204,271,352,128,316,040,865,246,692,095,097,641,
081,518,516,733,630,442,459,640,373,135,906,701,115,968,083,468,148,534,812,
102,077,002,879,228,237,641,767,102,846,914,562,036,661,566,323,989,656,759,
808,971,791,725,620,406,849,395,684,254,803,206,054,247,056,084,641,727,313,
685,190,759,717,987,550,981,158,636,041,372,000,758,319,986,592,004,151,144,
473,438,043,855,063,453,351,016,033,406,371,372,003,097,647,866,571,827,321,
101,545,705,595,826,806,690,717,053,572,978,519,085,908,623,990,294,622,134,
341,080,227,418,260,347,170,565,329,048,918,257,877,902,718,188,635,802,582,
435,721,029,577,466,203,693,059,336,398,286,681,480,898,155,223,391,470,624,
599,070,875,414,599,593,220,309,516,203,258,290,732,635,502,838,489,222,686,
923,925,755,438,880,797,135,641,166,992,084,679,688,069,485,166,802,807,510,
367,603,279,049,135,654,213,132,337,302,196,597,667,349,525,627,184,341,111,
248,085,583,177,769,380,948,765,990,454,314,140,436,431,526,558,324,653,421,
946,331,620,218,537,792,709,769,199,944,547,508,122,362,340,588,246,466,776,
709,238,109,884,365,363,364,378,172,261,617,974,694,921,086,949,446,799,047,
901,419,887,054,606,852,490,495,471,450,853,341,607,223,001,697,357,729,370,
673,014,884,581,745,342,596,201,577,499,694,105,009,252,603,659,490,120,286,
310,965,467,752,499,504,227,051,096,763,477,850,586,959,088,028,782,465,703,
332,067,662,953,796,430,762,057,762,762,241,411,273,253,547,245,069,416,801,
501,574,776,522,168,333,133,450,566,905,599,388,960,031,854,094,091,734,549,
385,861,680,921,709,764,327,113,320,015,047,851,527,993,860,720,447,043,522,
617,868,682,638,138,663,007,977,900,231,192,421,414,047,147,443,721,001,535,
391,454,759,064,636,833,160,259,616,366,295,665,194,674,023,419,707,741,619,
584,689,072,601,383,274,731,496,819,246,556,353,428,471,969,675,908,324,513,
317,882,457,141,765,554,176,556,261,433,606,189,437,978,132,239,470,407,796,
716,059,486,588,570,105,029,718,525,790,080,702,557,940,476,045,794,344,989,
207,044,452,493,462,739,674,857,651,517,638,011,750,353,477,317,095,632,627,
425,481,544,403,350,559,502,963,097,929,374,525,021,083,508,046,269,143,829,
129,904,212,788,400,072,923,116,016,055,572,843,552,440,977,135,043,881,667,
471,827,160,047,726,680,741,855,675,680,258,945,022,879,671,155,221,167,973,
985,125,836,651,316,681,728,952,041,345,656,815,457,879,009,800,109,618,865,
702,082,747,509,510,368,398,658,528,348,621,248,898,596,234,123,015,474,035,
440,800,763,165,271,039,109,596,054,316,399,120,435,045,864,061,425,093,929,
939,205,233,401,017,839,890,261,735,168,449,851,198,898,392,946,080,299,940,
462,125,204,340,891,201,011,791,257,897,787,638,133,597,358,897,059,188,865,
621,850,281,726,058,374,307,718,035,078,036,410,656,988,586,152,878,264,390,
898,240,780,509,166,857,130,047,144,765,729,090,890,796,536,361,204,750,554,
185,329,301,797,486,612,147,609,243,728,441,011,928,066,571,129,455,662,573,
352,205,274,742,389,003,708,237,473,320,777,219,797,404,667,523,488,919,741,
713,940,204,797,900,986,839,812,722,146,157,603,397,988,327,135,926,700,673,
716,571,582,448,128,175,772,464,466,351,337,567,205,920,678,808,431,606,743,
560,269,676,406,637,325,028,619,878,698,634,474,932,318,216,183,999,028,440,
060,429,881,927,089,109,350,257,753,885,440,116,310,779,684,083,888,523,839,
124,842,978,577,406,877,127,018,486,712,675,140,399,612,116,870,342,424,889,
026,301,796,576,176,298,406,800,323,551,413,123,595,257,785,859,514,237,009,
077,175,697,219,405,809,152,590,623,161,786,456,810,628,951,302,397,094,630,
959,816,818,929,054,298,699,120,455,795,901,928,105,111,526,051,796,956,835,
464,055,257,444,122,755,469,664,389,139,129,113,109,753,830,068,307,625,916,
147,339,142,223,481,853,569,669,463,357,332,564,781,241,410,462,080,547,564,
856,795,580,141,775,150,708,668,785,733,651,266,421,306,996,822,923,901,659,
333,167,347,444,557,492,558,544,343,363,047,099,809,078,153,722,616,124,759,
433,987,794,457,394,790,488,408,973,899,590,857,261,399,833,294,520,852,117,
589,712,861,047,566,611,036,016,079,387,817,800,230,133,289,496,635,361,807,
077,550,907,271,142,319,010,396,622,494,655,659,585,777,851,074,371,678,837,
072,375,936,644,597,860,469,573,396,078,929,772,253,152,946,547,125,160,377,
540,134,092,023,827,233,959,282,216,992,724,041,679,068,096,303,553,414,261,
063,183,783,566,555,715,428,205,129,872,380,281,837,172,605,642,287,608,505,
038,687,204,052,983,543,049,705,870,766,326,909,721,670,387,578,517,167,845,
369,147,970,803,846,117,440,929,847,737,904,209,734,150,557,411,765,327,077,
407,427,562,867,887,235,577,914,541,896,102,526,324,055,672,692,536,933,048,
146,928,651,912,071,156,946,429,678,244,885,373,502,024,875,722,192,232,189,
542,843,061,515,670,113,947,347,675,389,028,963,365,463,877,095,048,694,050,
339,868,656,355,043,515,592,353,168,630,416,439,333,270,259,351,775,361,494,
071,351,962,986,167,218,119,446,110,229,063,316,443,229,234,838,678,213,159,
858,932,504,001,105,264,910,774,333,532,640,656,392,301,988,889,253,553,637,
624,718,544,296,905,423,798,691,095,651,385,578,990,565,035,759,341,113,867,
660,702,482,986,548,683,027,596,758,265,233,331,894,083,195,225,379,370,014,
753,047,647,472,435,157,055,767,608,996,344,538,654,584,514,915,263,662,838,
098,777,405,601,751,178,378,669,703,034,397,444,005,097,558,436,714,446,067,
162,607,683,039,139,466,956,685,220,312,309,193,090,172,933,637,763,257,162,
492,767,386,264,804,413,246,225,144,870,453,946,389,597,917,910,757,309,538,
156,805,659,540,570,564,272,795,641,950,361,791,711,506,533,390,564,041,995,
977,885,869,781,769,552,787,344,483,085,120,172,096,950,823,263,184,154,210,
219,074,425,464,088,629,046,746,648,176,827,742,301,336,439,793,460,475,280,
684,623,412,892,532,090,574,424,644,885,911,939,445,750,288,638,861,470,210,
677,534,001,586,801,693,024,751,300,336,113,586,173,850,723,188,832,258,473,
635,436,226,030,223,194,355,617,607,049,900,844,835,406,416,927,962,591,729,
801,479,328,905,695,510,372,201,205,601,604,631,841,653,916,289,598,442,263,
861,428,351,697,709,108,673,795,001,342,824,603,941,619,320,251,464,634,239,
295,428,916,083,962,258,096,043,902,336,852,078,043,353,990,920,455,988,097,
148,649,726,840,794,427,698,880,630,248,191,378,212,632,716,935,406,906,912,
491,725,181,733,423,933,066,298,941,492,896,925,709,811,440,052,533,897,287,
932,675,766,013,351,721,981,225,322,519,545,429,597,016,332,207,774,653,161,
872,465,316,985,539,373,464,991,388,323,153,087,003,956,513,321,431,756,443,
746,902,860,344,598,834,965,673,734,718,805,109,948,362,573,041,805,541,981,
763,058,146,234,558,063,870,172,803,619,479,415,939,943,499,256,231,589,795,
365,547,673,072,627,481,011,710,078,113,406,033,153,076,786,214,906,619,229,
845,596,742,358,315,357,568,883,671,507,869,971,081,525,010,218,137,164,716,
284,941,602,863,813,413,334,865,563,588,464,158,198,481,965,978,614,636,332,
204,127,389,772,627,006,852,375,032,876,432,406,349,044,319,608,573,976,479,
510,384,714,805,152,290,839,178,611,912,089,443,761,047,457,117,416,506,856,
623,552,527,365,867,401,647,060,188,490,530,002,003,941,782,572,833,278,437,
089,727,606,274,350,319,350,858,425,402,715,919,217,662,120,639,929,050,174,
962,207,318,208,771,357,515,130,570,180,234,212,229,478,138,874,766,602,035,
932,591,011,717,611,231,468,595,021,751,258,302,213,145,331,232,322,723,854,
675,746,568,498,948,510,986,528,056,705,361,634,380,919,555,462,502,642,207,
088,774,206,156,899,178,340,304,024,063,936,427,002,072,452,488,844,289,573,
082,610,750,383,732,453,548,334,974,235,594,040,820,104,519,197,319,252,813,
232,352,270,943,666,905,342,848,536,883,228,671,789,210,677,620,510,384,114,
973,519,814,891,453,400,111,738,407,805,212,311,271,478,464,429,901,689,639,
019,172,271,125,167,880,687,053,250,123,088,979,928,855,565,101,428,803,381,
305,002,420,196,603,759,441,745,866,951,777,520,628,229,438,393,176,707,764,
153,566,426,210,049,384,136,273,262,156,034,697,778,302,567,235,875,085,857,
599,031,374,507,496,598,681,064,875,337,645,850,195,746,890,930,137,403,347,
928,409,264,643,425,116,439,962,651,663,023,573,181,083,339,399,797,348,438,
284,951,954,502,836,660,834,175,038,684,496,412,884,875,241,872,044,423,992,
291,363,816,920,778,709,694,569,767,919,527,439,980,037,751,798,692,206,602,
563,849,863,738,902,331,883,515,329,029,814,365,269,494,380,932,863,194,198,
162,456,929,133,421,397,528,091,829,820,432,779,698,481,877,496,532,301,532,
905,677,924,020,923,966,657,865,796,541,905,170,846,870,933,730,301,991,598,
306,760,403,019,697,165,254,797,170,838,156,232,938,085,355,966,864,814,524,
449,461,276,441,351,645,241,869,079,259,327,279,200,301,686,475,563,798,810,
232,137,199,428,947,993,935,145,739,062,155,206,303,680,716,348,841,944,467,
063,636,462,129,876,282,526,972,534,115,101,551,916,559,778,293,133,729,812,
831,128,477,047,171,288,431,439,929,734,809,270,200,907,064,546,091,016,720,
784,136,340,929,587,927,057,588,856,003,892,545,655,129,063,455,772,156,874,
629,475,886,875,806,441,176,182,246,330,764,033,581,389,612,040,615,716,479,
028,734,765,841,085,222,097,718,367,905,878,683,320,247,235,812,536,433,094,
966,374,976,559,345,380,781,625,750,685,992,422,867,384,834,525,115,359,458,
210,223,332,532,146,906,430,128,967,738,116,487,606,596,514,189,408,964,144,
715,015,990,014,253,615,526,300,458,506,665,874,024,899,678,020,072,774,527,
634,887,923,495,186,826,587,401,159,812,268,299,041,427,010,927,241,852,958,
283,051,489,459,079,332,046,926,473,748,294,112,469,582,168,485,854,015,752,
122,850,259,962,291,267,631,071,948,435,562,267,501,774,815,541,158,281,076,
468,784,396,637,426,792,823,928,984,637,770,997,648,618,826,409,994,790,891,
362,606,196,440,861,054,326,745,361,166,173,773,374,124,497,211,701,733,716,
374,916,565,355,371,770,883,924,557,762,380,095,954,392,343,045,744,585,473,
950,594,193,598,353,853,777,272,491,757,637,932,583,002,973,508,346,568,018,
376,041,744,987,536,531,483,551,509,278,139,516,893,261,112,330,654,145,927,
426,406,895,228,173,654,118,136,693,521,890,536,233,648,547,161,630,785,937,
734,887,764,824,151,220,764,138,612,886,486,336,776,658,720,088,940,049,241,
023,088,882,989,114,604,583,443,406,041,953,779,738,628,159,307,922,313,220,
732,455,899,401,389,805,789,461,107,994,082,129,630,516,061,123,783,972,217,
538,491,991,471,813,573,240,760,208,595,199,409,229,047,568,420,972,918,949,
024,896,739,274,499,593,126,114,812,258,069,424,730,075,147,695,820,158,412,
590,175,786,467,087,200,329,200,342,460,409,759,110,117,632,293,695,578,237,
823,339,021,663,454,483,626,278,855,971,800,068,556,104,179,896,051,326,127,
620,494,565,226,357,512,787,608,797,463,295,530,243,271,632,768,344,866,117,
788,537,913,032,391,559,934,400,832,241,076,919,555,089,890,673,067,012,181,
424,509,363,083,013,731,440,767,206,333,350,304,512,801,957,039,211,133,309,
113,987,182,074,138,985,492,233,825,943,348,973,961,673,869,020,096,394,432,
500,120,060,069,231,301,650,364,891,927,195,461,361,099,297,156,901,146,619,
620,431,031,550,916,520,846,371,646,150,815,771,051,673,428,373,439,676,332,
978,781,375,956,966,597,880,978,387,000,552,350,200,543,223,409,538,287,759,
376,596,184,678,075,246,330,372,591,866,973,370,054,270,788,720,342,533,969,
851,703,339,916,508,122,284,810,510,413,256,575,584,387,576,511,827,569,561,
300,766,497,102,595,823,302,137,633,007,185,685,826,708,899,413,757,073,691,
234,347,564,824,542,739,895,028,552,558,538,715,228,837,139,784,564,284,851,
275,141,971,656,662,992,150,536,417,047,477,685,928,760,329,804,839,407,786,
371,307,702,100,366,764,534,766,952,619,368,981,348,970,920,825,040,005,199,
628,663,963,825,130,391,066,130,167,760,935,686,264,305,354,761,436,839,583,
621,422,864,106,508,838,053,467,205,545,090,002,436,089,393,598,948,233,122,
353,197,373,611,058,988,672,085,528,609,014,346,873,053,774,885,429,849,745,
535,429,195,948,341,105,686,820,127,450,002,385,738,796,333,655,168,492,196,
332,156,797,532,826,628,156,917,595,639,589,104,217,612,114,994,961,656,975,
201,378,024,240,047,619,763,346,650,078,162,273,453,256,046,976,042,771,800,
070,419,848,999,586,011,756,582,802,985,302,939,554,364,055,151,030,709,597,
655,380,188,328,716,959,534,631,152,455,274,938,291,801,602,421,636,495,988,
327,770,717,142,852,248,257,348,250,350,933,718,402,942,632,904,131,552,235,
824,345,401,071,304,601,360,480,830,341,498,484,967,110,618,009,306,089,612,
590,874,406,908,529,274,165,780,348,204,755,500,411,665,060,459,456,475,966,
057,350,772,039,217,821,011,157,630,611,383,569,900,160,534,635,163,428,972,
673,427,114,605,471,884,529,808,299,393,966,407,968,000,049,375,681,187,091,
277,376,975,377,715,409,238,656,874,961,244,324,185,477,497,056,040,996,132,
154,807,766,300,629,787,460,696,374,757,909,910,158,256,690,498,135,250,589,
056,893,417,708,220,180,814,388,562,543,031,279,959,533,273,841,155,393,741,
976,870,603,253,020,307,697,388,928,490,899,227,441,472,132,701,639,700,513,
834,582,916,694,581,114,488,994,524,986,446,034,049,945,334,653,016,752,820,
562,835,192,327,046,357,976,948,276,304,483,478,877,175,313,562,385,912,906,
356,142,561,032,397,393,078,313,906,154,386,226,963,685,910,522,284,991,856,
968,860,188,510,307,486,752,827,398,704,853,005,626,456,082,527,689,272,552,
177,518,234,436,018,642,315,920,252,403,159,868,938,689,107,019,591,636,520,
289,687,430,524,215,986,054,499,957,136,740,675,329,183,626,796,908,171,746,
001,746,191,732,963,145,409,124,834,075,277,237,231,975,731,284,813,523,363,
814,241,638,118,891,294,278,015,752,926,434,786,915,562,995,906,763,219,411,
968,453,627,660,368,193,657,811,637,586,759,326,967,780,470,506,879,862,700,
483,734,232,382,259,171,466,408,694,350,454,593,581,731,839,421,893,632,788,
900,585,317,953,251,846,480,489,180,260,216,748,437,542,278,911,944,785,054,
591,631,966,861,556,370,454,880,040,345,085,730,336,977,608,242,479,751,758,
323,830,312,927,364,798,490,552,738,791,984,919,633,514,918,282,117,994,285,
811,095,799,790,384,706,812,780,166,912,176,574,467,636,292,820,872,749,962,
509,882,405,720,266,470,336,457,787,649,617,912,133,968,546,412,828,068,545,
488,657,357,556,142,374,248,354,260,877,268,315,170,888,088,703,340,233,427,
590,539,545,726,843,043,996,161,864,634,417,796,515,313,426,667,584,928,793,
603,838,607,327,845,732,664,802,715,765,722,664,992,297,114,116,321,579,690,
495,627,242,016,200,676,395,314,789,828,115,995,371,330,532,489,965,271,944,
980,152,480,191,475,227,328,054,393,425,640,447,071,865,494,685,682,377,089,
272,361,652,705,787,975,331,882,734,654,548,373,797,288,114,221,128,405,128,
738,126,244,651,566,909,136,182,943,889,123,942,091,798,125,089,152,676,260,
689,410,466,986,520,545,964,340,284,510,965,325,380,618,253,749,600,643,720,
236,947,221,137,303,309,272,886,671,264,538,051,438,652,046,023,556,764,524,
673,317,018,970,060,482,122,350,084,227,967,261,031,357,184,128,746,336,703,
726,883,350,230,286,073,668,495,063,978,330,001,625,928,458,725,072,460,784,
970,505,804,149,867,785,940,043,469,703,721,960,665,604,920,542,446,453,742,
318,866,477,995,792,736,623,860,695,409,606,702,184,612,887,346,109,432,034,
291,766,920,965,909,084,970,449,234,897,658,224,837,024,070,924,090,022,249,
360,096,219,248,193,723,267,219,280,684,727,664,318,349,685,164,373,101,468,
770,285,979,821,897,880,748,063,443,638,430,707,533,320,073,092,252,376,138,
823,926,447,214,230,729,115,695,216,813,178,674,644,163,073,320,131,120,962,
337,382,440,431,411,473,285,648,523,963,735,647,108,068,035,458,816,690,790,
064,692,989,284,130,214,582,482,148,501,778,052,500,189,127,742,133,100,306,
692,172,603,273,213,552,378,104,574,585,322,553,415,852,642,329,967,082,918,
193,367,230,254,044,205,764,223,631,936,411,594,309,812,521,642,072,316,372,
610,653,706,727,627,573,189,914,020,025,188,553,839,415,251,636,392,916,329,
015,534,578,092,580,596,462,853,706,239,441,240,644,592,012,854,144,494,378,
936,938,305,569,626,661,766,783,289,514,441,202,345,842,064,176,891,538,587,
606,998,673,260,436,803,572,985,868,531,513,192,879,746,873,721,015,095,224,
927,932,251,692,881,942,795,750,279,667,757,152,456,877,091,372,738,925,910,
642,406,380,224,152,360,561,587,988,920,652,612,974,014,132,790,304,051,466,
774,628,538,047,001,893,359,317,731,573,134,676,716,265,400,345,985,599,377,
983,223,700,864,949,032,386,260,037,315,841,452,607,370,934,196,727,154,168,
309,626,496,199,578,304,616,148,693,709,480,944,689,693,531,950,918,929,892,
282,999,973,015,445,971,618,005,135,879,999,502,752,575,609,541,144,490,483,
764,876,059,471,670,931,778,437,923,300,541,879,485,980,573,091,830,757,439,
776,288,288,914,604,753,131,668,713,785,832,733,297,098,619,914,553,094,624,
505,055,594,484,273,233,647,728,999,764,231,269,501,792,489,776,304,913,230,
422,823,259,031,010,528,047,962,586,066,248,608,476,348,500,824,090,991,416,
116,314,471,480,132,906,491,116,364,344,612,157,648,723,182,682,580,503,133,
794,959,659,803,001,781,195,875,112,341,338,409,923,508,880,492,070,877,657,
464,569,929,418,782,308,954,700,004,618,473,029,060,311,672,452,348,905,150,
853,735,404,155,869,072,761,996,853,589,356,517,505,886,907,085,370,548,268,
653,122,642,311,311,706,257,803,743,367,991,210,543,791,769,539,791,759,045,
117,443,892,028,934,233,895,970,878,047,836,398,225,404,116,351,209,380,088,
340,917,779,603,393,751,156,029,944,861,164,976,099,562,795,716,381,807,641,
936,661,855,479,850,112,586,351,435,058,029,102,373,875,035,484,398,096,175,
833,964,135,599,287,728,294,299,796,231,719,130,804,791,050,312,908,939,474,
874,268,125,116,131,538,769,238,671,344,624,850,720,974,666,350,317,716,530,
815,186,836,681,841,176,179,611,281,178,267,285,734,173,100,997,516,301,089,
170,160,358,833,409,600,852,365,104,956,882,226,050,739,039,111,072,407,919,
708,570,805,321,153,322,975,933,790,479,979,029,629,276,002,488,366,062,509,
071,388,196,277,949,873,757,498,927,937,970,613,741,764,424,892,845,439,237,
231,964,281,950,750,974,302,259,277,127,566,998,168,968,438,488,970,711,533,
129,612,124,172,224,613,028,505,267,502,983,306,025,909,783,905,479,318,078,
435,974,611,770,134,166,000,006,407,179,582,181,660,717,018,290,094,471,876,
513,047,492,503,200,742,484,660,160,812,331,220,161,258,071,752,678,839,651,
939,709,055,139,895,742,977,720,067,461,626,095,261,599,420,387,359,160,683,
178,004,815,643,178,526,499,662,265,826,629,163,248,043,564,632,092,672,364,
864,335,470,207,465,219,522,333,356,642,266,560,641,504,193,253,581,980,894,
809,484,459,584,108,458,572,217,341,142,937,946,655,594,560,020,303,109,260,
749,540,567,281,624,363,542,257,320,896,150,494,844,929,151,726,366,652,071,
775,724,220,215,312,189,949,843,032,029,650,161,235,892,562,183,784,531,187,
851,243,040,658,037,483,485,366,168,592,920,445,131,786,000,604,216,827,719,
280,844,450,026,049,314,438,937,427,769,927,897,193,874,050,804,071,740,492,
812,010,180,679,152,275,145,101,289,962,393,053,337,656,771,830,080,203,689,
151,310,035,790,736,749,783,297,622,960,607,274,009,632,293,275,392,821,717,
415,652,038,996,986,767,458,512,533,175,605,305,416,435,025,483,578,135,693,
876,490,393,792,385,430,480,806,702,951,333,119,590,408,705,372,192,510,889,
905,661,695,618,069,269,494,279,824,591,977,248,153,385,605,552,792,454,946,
628,723,067,388,982,570,426,122,813,939,898,783,374,568,737,589,895,881,619,
968,962,051,996,043,320,396,450,507,140,305,483,183,317,421,330,811,178,044,
874,255,043,533,794,369,855,057,962,700,216,339,877,258,007,881,562,408,621,
848,118,931,632,458,343,869,935,375,943,117,078,654,779,471,971,687,484,734,
882,152,113,166,944,163,449,579,700,273,586,777,585,736,107,301,245,446,079,
453,197,923,229,009,761,187,590,199,084,885,149,725,981,325,571,796,564,154,
556,744,829,455,527,753,664,615,875,426,436,001,358,197,797,378,389,622,817,
911,093,789,786,826,376,779,068,429,447,676,802,779,520,484,827,153,649,864,
427,275,730,424,883,766,840,883,930,002,095,832,115,480,455,952,886,331,668,
432,363,527,461,412,685,230,454,571,289,743,784,794,508,138,961,647,351,728,
992,973,731,217,755,619,917,925,486,957,465,321,868,768,043,185,293,252,061,
943,327,857,897,582,221,497,268,282,550,578,280,222,609,709,122,573,507,096,
440,909,894,797,459,917,689,583,189,063,992,288,774,257,716,366,542,465,282,
939,701,239,558,811,695,561,713,967,457,977,377,860,724,757,850,850,104,957,
425,518,493,697,403,314,125,533,178,466,401,238,343,341,515,216,465,951,663,
448,708,676,531,066,725,386,006,892,046,750,177,355,951,340,431,215,751,049,
643,823,304,954,785,217,994,840,454,197,346,388,152,408,229,222,567,042,858,
000,216,565,846,399,370,449,413,531,720,032,235,676,073,527,076,602,902,037,
366,105,811,966,540,893,285,167,414,526,514,358,102,465,627,788,389,061,721,
831,013,645,095,875,191,560,910,542,571,244,488,196,384,280,665,850,291,142,
942,408,130,849,958,419,235,189,821,900,701,449,167,980,106,708,489,485,754,
391,023,983,323,924,166,471,963,634,883,879,027,710,624,287,326,365,089,781,
722,282,390,363,978,596,767,808,208,669,962,055,928,326,934,926,011,593,887,
740,670,737,061,189,620,191,114,774,645,531,772,673,123,243,997,335,413,069,
792,680,299,657,208,300,925,959,551,845,571,974,733,480,696,787,727,504,324,
609,307,389,988,607,366,144,413,225,272,798,235,690,108,113,128,224,526,653,
619,159,654,315,694,069,373,117,625,943,017,265,672,796,206,325,106,832,742,
033,266,544,882,009,877,658,067,765,765,861,192,754,015,670,168,712,979,238,
905,571,095,562,894,342,314,242,696,254,559,642,306,713,229,947,792,440,791,
634,872,430,016,940,787,542,681,348,391,980,100,942,429,697,174,194,807,982,
711,764,928,968,102,414,511,358,394,768,243,440,082,412,918,356,207,492,205,
306,065,540,741,847,216,765,370,923,570,277,673,594,756,114,518,844,865,928,
395,814,233,571,629,141,690,031,219,959,228,218,046,688,689,886,960,442,754,
469,692,571,869,696,317,769,731,290,807,774,997,315,158,970,894,344,928,173,
468,978,063,858,576,221,886,251,006,336,217,083,149,353,923,875,063,765,095,
929,361,476,000,997,387,952,570,180,545,756,440,640,593,717,887,645,600,611,
702,328,854,942,576,243,463,684,584,619,102,973,943,818,889,126,905,523,321,
778,798,388,270,568,924,540,761,612,135,526,193,378,667,481,178,828,670,408,
887,387,255,201,807,939,527,473,670,625,169,206,176,240,703,414,975,747,656,
539,816,202,962,197,520,927,497,621,854,611,061,940,137,911,170,294,416,123,
406,956,227,253,406,931,419,055,332,961,211,826,249,876,653,409,975,955,429,
107,623,674,627,792,140,415,881,942,744,181,377,768,466,678,119,562,913,940,
420,840,124,673,782,623,285,182,687,139,336,229,823,601,706,989,635,433,452,
209,500,433,680,351,923,370,224,607,893,091,994,919,719,299,571,072,086,229,
160,927,431,479,538,341,044,733,849,324,761,013,341,117,225,395,267,252,831,
830,923,800,531,494,241,070,447,800,676,045,396,552,092,073,147,878,399,896,
743,771,963,273,316,809,652,488,541,483,233,342,375,873,276,090,096,235,267,
044,448,677,638,975,703,525,607,982,424,536,019,378,367,333,643,667,563,586,
384,248,476,420,649,650,296,770,231,157,989,582,588,527,484,750,589,692,523,
109,691,183,987,590,525,325,867,711,158,751,744,596,213,686,233,283,311,603,
156,680,317,338,970,590,640,822,410,130,862,832,006,614,188,781,349,240,697,
320,841,263,481,581,892,060,326,534,990,323,461,292,017,965,950,731,377,979,
977,007,548,993,524,779,273,509,431,296,994,793,331,074,412,091,773,875,680,
771,390,083,087,734,973,343,252,930,938,263,471,551,628,954,082,151,229,916,
174,189,488,556,137,886,718,681,254,625,071,359,881,918,491,860,679,526,502,
648,708,295,310,936,385,168,068,091,769,271,989,563,607,773,236,600,433,470,
663,153,523,194,533,472,757,081,685,448,744,046,402,225,938,353,471,098,689,
930,425,360,186,850,422,437,902,385,905,075,776,844,841,731,242,380,922,893,
607,705,066,931,872,357,673,602,335,468,622,471,213,075,023,588,903,219,029,
326,476,261,405,611,247,487,126,800,841,083,862,348,685,943,689,850,800,521,
091,966,201,998,540,088,404,075,604,839,809,894,500,695,878,895,308,957,949,
353,532,164,403,773,743,004,165,797,295,756,824,410,779,598,670,687,995,715,
043,693,746,802,315,372,316,517,160,172,859,119,862,928,591,232,490,071,512,
220,310,011,258,055,513,851,455,968,729,606,551,975,645,371,956,053,892,623,
964,957,624,511,125,888,272,570,067,516,010,783,079,755,714,884,582,248,082,
550,482,220,435,546,099,102,503,468,122,120,328,737,994,483,508,655,596,039,
734,795,457,629,942,314,309,912,281,119,260,600,847,695,943,981,998,273,576,
900,930,536,935,363,539,840,253,998,947,480,089,460,505,321,795,625,744,736,
007,394,520,247,167,724,443,886,459,845,175,936,278,181,097,228,246,490,183,
609,813,010,970,160,675,312,284,986,386,577,250,435,681,248,576,023,332,984,
294,209,419,014,217,582,581,225,553,696,015,287,299,393,860,955,187,084,472,
026,737,171,515,063,544,630,657,498,941,290,837,193,319,271,219,060,202,003,
800,594,691,385,663,929,211,475,387,781,364,092,009,638,119,396,122,858,558,
201,436,064,449,055,263,137,778,405,013,033,292,840,179,961,474,764,909,619,
621,580,849,525,217,596,772,485,106,711,049,581,499,815,212,852,578,323,759,
914,104,269,596,732,296,613,768,644,114,856,294,029,424,004,610,089,272,344,
889,741,923,448,730,868,595,994,769,244,222,685,161,460,303,569,490,940,382,
196,295,068,173,978,840,049,742,976,587,262,876,661,821,114,979,987,613,897,
988,195,877,478,681,431,335,926,676,786,950,551,314,367,747,886,321,508,856,
020,419,106,980,195,991,998,153,142,109,664,781,714,030,106,884,108,854,559,
672,604,439,361,680,188,063,585,818,750,407,348,158,649,065,567,501,518,672,
433,527,596,051,639,615,065,424,321,102,997,636,858,160,118,047,608,509,911,
948,166,979,339,930,275,235,923,799,033,310,686,970,786,020,456,231,342,163,
843,391,669,440,813,494,165,257,053,208,155,742,815,317,757,903,423,215,378,
793,858,194,636,325,933,661,086,332,578,235,946,899,428,991,776,837,164,037,
199,512,250,131,143,855,056,107,697,028,200,391,560,926,742,813,756,491,907,
215,296,632,075,903,475,925,025,456,273,526,970,506,771,005,541,044,268,328,
227,714,558,828,405,733,532,675,448,724,241,207,938,455,983,623,792,094,549,
550,372,575,013,835,864,859,552,154,532,882,204,543,447,567,782,057,511,625,
967,727,127,624,788,593,903,962,507,921,082,536,476,377,351,030,472,940,036,
805,650,133,656,339,415,882,572,020,264,543,849,443,163,646,684,157,634,378,
273,793,854,954,261,016,488,496,437,192,842,644,266,809,462,616,201,349,552,
461,682,836,556,281,538,223,605,884,995,159,453,227,329,248,953,849,498,810,
548,728,217,744,791,801,504,502,958,610,408,980,582,072,266,620,454,924,540,
663,418,519,963,699,686,929,296,559,761,818,629,102,379,842,852,350,003,486,
875,043,855,597,828,495,505,460,294,027,739,704,081,994,054,865,727,109,542,
080,886,980,759,322,242,876,994,205,948,888,075,885,874,207,895,938,113,836,
059,187,161,120,764,345,008,252,146,932,782,009,702,157,861,085,833,724,410,
407,393,846,281,384,041,629,355,565,352,558,193,885,723,358,239,227,549,274,
276,511,533,183,399,027,814,903,898,204,046,834,946,524,847,703,436,157,958,
541,085,538,128,041,483,227,693,152,649,059,510,743,197,062,463,706,666,984,
139,405,633,818,012,438,850,993,461,092,377,786,231,842,325,284,727,657,710,
310,909,435,412,303,470,793,707,962,702,221,822,690,979,776,233,465,263,350,
694,091,566,415,382,764,739,061,808,471,543,650,130,837,884,720,700,022,933,
392,682,555,993,656,618,553,259,547,281,156,897,870,258,047,929,065,459,373,
984,339,586,340,162,214,452,968,904,169,764,023,472,418,466,201,113,473,241,
708,326,872,988,485,913,806,630,176,478,586,293,767,316,083,386,122,599,108,
631,540,000,612,907,348,840,881,382,893,224,417,052,344,121,693,511,791,044,
060,149,092,471,981,173,569,036,225,377,008,874,352,894,678,375,851,818,177,
767,467,045,128,753,732,030,150,981,955,545,266,442,562,844,915,411,963,679,
958,080,216,641,108,535,953,335,030,891,358,389,711,289,049,783,549,057,561,
593,020,286,964,302,149,885,473,534,664,710,650,121,206,063,122,218,499,157,
787,097,900,526,735,605,742,683,207,145,901,858,917,125,178,714,018,001,541,
511,836,771,643,885,264,366,460,399,980,678,066,782,712,812,950,463,579,623,
481,750,883,795,923,851,132,052,147,005,196,205,511,280,084,326,122,337,889,
748,900,278,654,869,748,663,037,730,648,189,446,566,095,470,379,800,411,466,
407,843,204,074,741,774,233,192,729,713,177,267,894,073,053,631,006,687,671,
398,069,546,873,004,915,482,409,126,696,143,917,224,715,732,295,953,719,927,
759,342,088,140,922,029,177,172,716,950,198,992,255,723,868,524,851,790,411,
380,155,278,183,431,995,833,870,264,086,493,445,793,091,369,128,172,068,702,
620,762,221,712,034,821,935,338,462,069,770,344,538,035,125,549,862,468,664,
411,876,513,435,235,477,551,616,632,688,555,075,553,498,722,897,991,747,547,
593,409,569,004,837,631,797,345,535,598,048,966,835,816,281,551,247,873,119,
647,799,218,154,054,382,862,108,742,709,705,556,629,832,324,352,748,929,303,
774,845,916,912,987,160,974,436,230,930,310,537,419,796,213,897,152,405,899,
360,212,908,471,729,938,502,856,399,025,225,360,956,839,502,786,636,379,796,
664,029,356,252,263,874,525,890,887,250,422,292,777,365,359,033,998,461,706,
824,876,296,403,405,937,281,255,061,010,553,855,685,119,080,192,474,469,835,
035,184,346,414,401,621,514,591,161,013,255,391,823,085,360,862,665,394,615,
935,958,025,247,194,489,609,344,488,153,025,334,012,205,467,343,666,265,924,
765,202,115,232,547,019,483,881,972,184,268,614,922,570,496,827,809,167,586,
901,635,010,316,945,836,115,391,310,548,610,131,515,470,975,604,405,262,644,
323,807,975,007,625,255,326,912,545,773,544,327,368,470,473,189,370,035,939,
486,860,174,799,037,653,587,572,127,422,297,280,485,162,238,466,661,248,845,
836,451,891,767,760,911,233,091,666,126,505,754,952,235,627,918,858,177,477,
944,401,742,794,856,991,155,941,982,245,363,456,383,025,520,939,749,181,429,
732,298,046,744,891,368,736,849,598,199,520,993,802,750,693,889,089,412,249,
765,815,387,171,202,144,401,215,445,637,365,173,530,661,894,153,984,291,147,
720,287,525,479,304,415,344,207,682,049,909,793,570,298,706,027,758,096,044,
189,853,020,326,958,642,521,273,903,034,232,030,336,553,824,354,382,511,438,
038,183,816,406,821,773,129,736,645,890,999,652,396,114,102,744,059,610,314,
598,929,944,955,728,432,501,885,737,163,380,135,423,701,588,845,051,088,672,
793,830,351,908,704,712,587,727,354,018,078,058,584,748,463,177,813,683,234,
192,552,829,885,132,990,268,019,337,203,025,785,024,118,813,641,708,225,691,
952,158,104,206,789,579,578,970,362,960,353,532,866,963,642,512,236,657,102,
758,075,909,807,644,569,994,253,052,633,362,286,356,464,502,024,258,573,066,
770,800,814,247,487,799,191,153,888,658,951,405,097,603,222,643,710,578,870,
081,447,363,864,889,080,960,471,968,631,354,343,945,064,276,077,583,130,052,
692,507,921,623,375,625,211,819,183,105,703,159,558,750,772,462,812,478,786,
620,830,094,722,399,816,220,900,000,019,705,118,861,756,636,480,523,699,951,
950,918,455,786,486,527,409,986,075,711,343,054,454,868,354,061,434,253,588,
337,709,402,872,719,669,064,937,796,741,858,785,956,652,400,033,296,023,469,
993,502,903,921,140,079,091,874,694,587,519,367,912,293,948,268,291,844,264,
767,704,714,870,319,986,048,531,189,356,468,473,461,298,861,686,780,371,972,
769,010,166,832,233,766,859,921,853,577,237,079,376,713,803,221,506,407,496,
370,164,066,791,181,587,118,899,591,078,824,323,661,531,413,714,119,949,491,
245,513,427,764,233,338,268,607,717,742,467,784,622,016,566,507,261,652,262,
468,794,737,202,978,230,772,522,690,116,670,319,156,877,590,677,482,248,568,
228,083,204,367,926,438,525,749,685,989,838,601,728,391,892,034,188,303,560,
011,396,225,755,253,424,696,654,692,626,821,233,731,411,010,981,417,341,528,
789,798,094,444,577,245,879,650,020,663,577,563,742,686,688,773,899,019,689,
866,893,059,062,059,014,925,402,793,759,268,408,794,253,577,880,941,321,750,
064,448,618,420,290,186,493,655,283,566,137,849,796,139,390,458,673,092,371,
739,015,888,533,326,767,515,831,974,176,580,920,118,658,523,316,480,783,142,
237,032,172,848,314,799,059,295,470,222,828,024,063,854,042,481,206,521,294,
836,451,514,428,178,408,281,646,952,418,435,057,585,668,693,511,962,153,357,
075,096,072,285,954,513,387,182,895,247,730,873,888,521,057,400,914,333,860,
621,737,690,260,907,498,216,278,701,435,528,632,941,338,444,656,833,362,617,
034,940,351,238,659,742,433,980,710,760,036,145,239,736,909,429,047,949,960,
211,706,396,300,463,956,425,710,489,617,992,418,852,132,175,258,374,414,898,
926,535,219,891,719,023,064,505,396,774,293,674,500,210,758,149,039,347,635,
646,371,485,343,111,873,803,527,745,698,073,698,041,204,063,533,872,216,345,
450,328,863,715,246,056,646,585,123,315,865,079,529,306,892,324,965,578,530,
703,673,882,186,584,598,983,721,566,941,922,425,547,546,904,623,395,503,954,
659,934,017,982,085,451,600,060,850,915,059,548,604,777,368,157,513,565,014,
302,215,763,952,211,647,568,358,362,000,753,746,996,374,162,749,631,488,900,
004,999,478,275,231,708,299,682,975,565,231,943,367,366,067,502,933,848,450,
882,101,072,099,700,468,406,222,101,074,117,906,397,562,745,200,556,676,066,
762,124,300,048,386,472,390,555,931,282,750,284,113,488,983,192,135,538,813,
660,932,708,794,904,094,224,087,501,782,716,397,127,752,991,279,965,662,546,
827,474,829,342,286,176,002,097,508,034,063,037,502,642,547,909,501,487,610,
750,495,597,386,764,234,857,021,018,786,884,731,219,811,775,356,762,373,429,
394,479,622,129,675,770,034,118,383,628,873,013,195,145,483,133,512,003,615,
666,219,306,291,946,071,160,664,522,392,626,860,076,743,057,170,009,032,789,
395,119,002,538,570,025,355,290,441,243,428,482,179,668,234,828,628,461,858,
150,858,822,039,129,352,579,632,318,596,060,177,572,076,976,631,057,778,872,
236,788,733,718,360,935,946,336,378,216,172,920,373,577,617,042,042,121,492,
968,946,104,108,138,610,162,612,612,924,028,736,327,655,990,781,940,800,562,
343,381,010,013,690,141,061,539,559,759,043,204,969,125,192,219,336,562,057,
794,131,313,425,135,042,108,316,277,663,405,096,997,443,059,926,002,470,741,
675,407,990,246,734,373,330,530,431,947,875,579,048,764,954,572,716,450,260,
861,412,743,493,947,176,441,855,051,890,648,335,992,396,491,098,105,215,252,
079,968,662,206,406,026,795,699,170,362,970,112,408,476,582,610,424,277,053,
086,307,879,915,347,998,812,433,613,415,319,650,994,507,731,638,165,961,848,
942,754,451,799,919,629,826,568,383,249,663,926,905,310,373,073,373,922,371,
859,317,828,428,340,063,308,880,537,764,662,058,066,321,741,498,881,432,364,
726,127,572,520,896,798,190,271,711,261,312,868,541,492,506,497,637,303,650,
356,740,342,209,909,757,624,113,851,952,660,021,505,127,638,327,908,167,812,
839,162,047,614,856,645,358,773,797,758,127,106,025,625,398,425,523,557,311,
785,486,706,746,107,952,381,658,953,787,536,875,301,327,689,053,672,345,372,
101,554,592,932,474,646,185,857,107,015,928,415,619,896,197,037,384,809,677,
744,788,538,202,677,625,678,354,916,069,726,641,483,768,592,467,147,057,476,
472,741,754,846,315,216,924,890,099,675,019,895,339,609,798,644,161,764,216,
247,075,119,090,350,253,664,496,660,883,199,593,033,626,525,244,700,327,428,
614,149,471,354,375,064,016,683,186,863,979,328,560,444,292,730,718,048,595,
468,353,924,809,614,548,867,940,811,486,498,621,459,322,461,789,803,187,672,
198,812,359,554,323,041,142,961,279,984,709,058,629,221,844,512,093,230,786,
306,040,749,929,862,332,111,263,959,538,773,884,632,486,819,175,379,762,075,
403,477,556,158,556,300,483,057,193,009,300,183,924,786,245,245,044,416,110,
876,369,106,956,973,498,865,147,118,108,107,678,416,044,315,377,595,589,648,
306,287,232,778,292,757,189,371,613,238,581,682,618,900,462,084,344,534,875,
422,671,863,306,832,899,908,678,967,093,211,696,591,457,613,712,559,508,914,
646,406,383,469,951,256,621,184,299,522,913,646,039,283,209,569,875,937,556,
138,416,571,835,376,562,663,893,246,367,840,570,059,207,359,936,082,487,514,
644,651,461,302,279,227,521,540,460,249,079,781,378,739,149,472,289,505,154,
856,981,053,238,624,371,721,471,360,448,218,565,966,111,349,641,990,339,202,
940,746,450,288,073,052,291,396,309,246,182,469,918,079,459,108,601,248,315,
371,876,730,066,313,020,020,282,231,415,825,906,352,501,619,582,976,730,692,
725,396,087,035,803,977,901,567,601,761,300,985,788,457,278,598,575,527,358,
393,816,569,981,756,953,458,299,995,891,891,199,463,955,410,874,929,225,087,
302,978,892,120,316,075,002,768,731,765,134,964,091,868,398,564,720,709,816,
264,983,301,630,502,502,942,472,715,826,493,196,113,588,008,484,662,536,962,
151,003,195,291,147,367,382,880,294,470,312,575,452,441,549,798,748,105,242,
737,904,040,139,989,488,019,217,454,033,903,145,310,273,806,713,308,027,463,
286,653,705,348,063,435,595,468,596,715,204,570,572,333,048,258,303,096,201,
222,253,826,495,731,751,371,785,333,366,256,213,878,528,711,151,646,919,444,
736,166,342,433,029,256,722,211,653,542,352,017,579,287,241,837,460,141,795,
585,875,698,107,479,409,521,509,252,284,113,841,796,424,690,254,742,047,303,
583,913,595,153,212,466,457,424,992,541,826,737,066,938,086,944,597,259,392,
404,023,122,425,911,651,733,413,998,231,761,074,315,985,861,352,585,971,719,
546,368,224,272,525,516,165,254,187,552,114,870,585,995,502,254,597,923,266,
426,802,006,634,449,396,530,346,338,160,378,382,816,618,262,667,804,425,334,
275,282,065,225,235,360,498,380,613,603,775,666,284,281,284,909,550,689,220,
754,880,972,707,186,859,535,043,735,337,463,061,582,147,417,544,724,742,813,
898,692,600,507,051,064,007,257,162,505,659,042,446,201,459,986,444,142,234,
298,964,009,610,313,034,268,334,052,532,201,848,189,130,403,695,317,329,316,
140,813,044,914,985,052,960,452,091,549,984,597,270,512,633,777,328,094,566,
540,855,976,528,876,162,541,608,616,817,590,344,786,474,783,860,428,051,331,
647,916,864,585,780,075,408,873,307,936,388,988,947,840,304,512,423,972,370,
761,073,462,462,724,553,421,751,724,922,106,463,793,353,170,638,699,210,824,
281,265,379,679,896,062,059,836,554,845,575,405,725,497,117,611,681,520,792,
341,529,419,387,759,749,342,555,929,750,723,289,997,063,440,226,475,414,954,
435,645,934,708,038,504,804,187,703,613,527,626,290,559,323,493,200,384,120,
739,920,927,843,374,098,625,730,538,263,974,423,795,339,678,654,102,778,138,
663,002,861,253,819,086,159,076,499,958,246,181,754,302,987,333,407,353,144,
067,340,098,841,966,882,607,402,789,719,591,362,392,166,809,042,576,307,664,
471,401,787,198,175,789,744,808,454,766,511,791,159,506,098,940,824,009,125,
771,024,766,658,512,002,255,702,984,434,428,445,964,911,079,469,922,938,696,
331,251,023,725,862,042,271,840,562,588,407,778,866,356,847,110,407,852,216,
887,860,012,131,445,869,037,400,142,788,701,703,115,109,389,866,819,356,838,
058,586,338,991,770,909,547,839,912,130,595,524,769,523,809,503,352,247,012,
990,005,536,341,153,197,286,836,973,236,197,046,976,886,183,531,102,014,883,
006,579,951,138,367,435,184,683,475,607,974,071,817,394,520,290,951,211,975,
164,409,278,150,007,930,075,438,676,134,148,933,880,330,104,766,702,672,349,
422,630,112,717,235,147,525,925,369,376,797,366,820,227,940,550,926,761,618,
723,933,620,212,930,349,594,649,657,695,016,631,467,756,576,336,709,790,763,
415,121,880,175,865,319,978,259,847,330,526,408,125,083,105,953,875,488,832,
321,096,209,659,677,948,985,119,533,229,589,223,089,735,296,528,453,219,609,
824,078,784,924,676,751,169,712,592,266,541,079,915,490,583,823,387,479,177,
392,032,501,388,157,022,970,211,572,043,779,140,422,845,125,959,286,390,884,
733,104,138,857,879,883,101,878,443,833,763,024,047,379,738,816,239,949,037,
726,955,454,699,951,317,505,075,555,466,545,132,046,982,521,319,812,821,310,
213,457,916,485,572,710,865,810,772,898,050,392,445,691,307,165,259,306,573,
834,296,485,380,932,088,517,467,970,699,396,223,526,137,920,321,671,257,846,
737,852,363,358,914,798,583,049,064,133,030,912,935,713,101,187,845,490,329,
764,230,363,496,125,219,118,370,472,954,290,638,281,011,334,931,608,843,603,
179,721,115,612,879,043,182,166,340,799,280,259,527,288,724,522,196,703,299,
657,292,470,565,536,971,076,897,615,212,342,479,211,370,743,790,842,048,296,
544,783,479,073,713,003,799,550,869,139,312,759,296,129,733,723,969,792,430,
072,659,191,286,293,252,389,797,679,159,651,132,030,325,511,032,665,870,815,
870,682,759,638,216,755,238,832,956,159,088,536,866,261,991,143,039,288,858,
323,482,153,972,853,072,235,451,835,143,998,474,507,210,723,819,485,282,129,
517,045,134,842,291,131,377,590,711,179,113,582,179,874,360,804,198,393,032,
690,881,102,805,212,059,065,829,092,271,442,817,359,748,846,843,581,678,398,
896,857,815,236,212,467,675,747,289,820,715,054,669,007,600,432,213,502,597,
009,496,835,388,626,586,244,271,078,403,039,338,246,554,087,874,740,011,074,
451,521,571,043,172,898,214,965,878,118,346,468,274,536,361,610,700,412,884,
767,936,043,967,666,176,534,284,333,348,237,706,015,147,512,109,919,886,104,
507,335,105,321,517,002,898,383,235,679,019,236,230,723,591,532,810,174,680,
468,340,528,910,617,547,392,871,653,915,492,031,070,732,262,375,610,758,213,
877,417,337,498,287,168,338,578,071,009,884,197,914,617,520,010,246,692,736,
710,923,561,490,008,615,486,353,062,801,003,407,809,187,603,626,431,506,603,
347,513,061,104,968,041,311,092,856,023,440,342,320,339,127,325,669,640,176,
297,711,163,321,144,937,195,560,131,420,862,684,317,635,794,668,639,370,011,
726,382,265,165,187,649,443,360,842,131,119,739,336,392,791,904,717,994,100,
942,684,112,900,255,883,220,527,947,814,190,202,973,497,864,956,616,745,021,
363,597,825,619,877,161,496,488,549,141,496,876,593,173,900,386,862,403,474,
840,388,231,147,175,630,167,216,930,021,024,502,399,893,942,370,796,751,356,
913,634,238,507,992,429,578,694,861,290,559,722,543,571,990,584,606,403,174,
143,560,501,629,618,803,734,298,544,881,416,696,628,946,382,083,706,501,556,
836,346,937,414,913,925,325,918,975,107,814,033,244,205,034,772,981,272,019,
607,142,274,486,984,610,310,908,719,193,659,867,144,171,210,188,954,740,816,
137,449,866,959,222,094,667,963,871,482,043,327,889,983,077,237,874,893,403,
374,080,305,552,800,953,120,625,919,910,078,537,718,544,717,773,388,268,172,
073,723,106,736,462,396,323,659,916,681,258,267,289,583,672,037,794,688,847,
047,792,132,529,869,398,161,896,300,025,587,513,662,731,451,243,740,372,184,
694,703,961,788,929,450,687,251,457,439,930,435,591,853,488,891,932,995,164,
964,642,793,654,970,594,308,827,562,091,696,566,215,188,684,128,903,778,837,
682,742,274,286,117,951,771,213,857,258,205,077,804,310,667,420,361,806,701,
614,501,209,064,481,666,092,815,114,612,391,741,106,199,716,325,675,310,169,
630,658,336,865,233,849,890,984,345,187,525,516,269,535,382,004,838,762,636,
228,488,290,455,908,906,821,651,078,179,439,587,616,115,912,656,540,711,274,
537,306,274,714,843,480,188,303,754,393,979,993,741,347,537,176,485,391,256,
810,661,853,881,407,998,325,398,151,166,763,704,735,063,756,010,124,929,532,
133,356,862,734,837,050,976,960,969,852,379,060,266,030,095,619,450,272,962,
392,899,237,304,106,631,612,305,047,066,475,731,872,279,837,145,890,190,345,
616,748,863,943,660,637,292,525,870,859,191,290,502,944,595,506,269,748,512,
651,238,872,323,104,782,031,843,437,297,818,059,514,585,385,569,093,193,253,
168,787,366,337,160,043,479,565,091,381,326,150,623,996,602,717,155,836,516,
342,310,455,141,395,726,418,725,835,175,846,166,699,216,366,634,221,288,066,
198,847,348,590,823,980,990,882,030,127,504,712,498,061,120,839,056,302,868,
670,127,304,051,870,706,127,653,667,507,317,399,652,487,329,237,986,520,906,
826,084,903,072,630,608,266,696,322,662,291,858,213,292,737,829,477,772,289,
007,309,434,050,730,549,692,330,486,401,645,800,153,246,635,186,970,964,105,
197,786,379,466,197,657,662,125,625,184,635,595,895,538,909,724,470,915,808,
324,635,284,769,251,888,166,061,995,665,329,447,670,644,721,800,569,446,274,
139,833,179,574,025,273,192,879,758,400,935,096,428,210,194,856,690,636,670,
150,628,289,096,125,848,207,022,596,071,473,102,888,722,298,007,477,859,691,
327,903,530,562,578,898,732,474,518,542,853,866,344,863,907,065,585,876,090,
525,012,883,958,290,152,211,735,131,285,093,356,130,070,052,335,113,007,271,
650,939,387,879,323,947,071,896,544,744,548,021,841,387,933,586,049,097,204,
239,721,431,948,936,989,642,538,490,322,177,569,378,678,471,041,693,900,635,
722,760,183,860,372,518,251,425,660,671,567,214,250,695,713,695,474,424,292,
513,851,334,062,699,143,452,194,781,188,021,990,902,831,513,866,976,547,070,
759,339,215,513,235,834,351,094,070,524,875,649,874,620,191,610,832,075,847,
656,588,444,253,733,276,857,793,179,702,891,182,425,562,961,979,598,813,639,
568,164,313,523,262,178,346,817,000,003,652,702,872,600,188,310,229,050,005,
203,146,981,550,238,613,650,764,960,912,999,533,208,610,971,409,237,742,058,
999,092,971,922,592,084,164,160,217,892,428,966,096,139,165,330,668,194,816,
268,313,503,176,610,820,789,847,995,173,511,615,573,141,480,435,948,188,339,
005,654,654,377,911,468,799,407,312,807,247,070,161,153,280,513,207,421,629,
526,979,665,756,693,791,275,672,106,537,844,058,318,912,157,518,843,812,827,
003,844,705,874,693,050,289,905,420,659,292,456,614,685,979,082,007,332,621,
294,601,696,751,845,731,443,992,920,768,201,407,098,288,735,583,149,107,837,
782,963,288,837,507,229,527,898,681,366,793,526,199,667,057,515,990,956,729,
658,263,395,659,208,575,256,009,290,539,896,245,887,557,348,328,768,985,514,
835,447,074,216,967,088,324,520,079,068,256,676,868,087,205,445,675,327,628,
155,461,062,053,340,528,396,557,332,531,241,352,092,926,488,968,800,610,068,
980,826,220,866,120,573,377,295,594,001,294,167,352,746,321,109,735,025,105,
798,273,770,317,405,717,604,798,838,744,048,911,848,016,233,301,846,702,989,
629,259,229,015,667,754,546,686,208,888,868,302,557,712,829,286,083,673,665,
495,616,322,845,440,490,937,360,328,414,128,549,767,208,367,375,214,510,573,
772,444,662,008,181,823,486,708,735,179,172,896,307,371,033,923,116,451,369,
911,307,048,283,754,250,670,143,618,282,215,497,386,444,943,636,630,933,872,
707,242,495,971,150,129,916,549,859,559,183,949,445,701,000,309,354,889,686,
868,266,561,089,644,418,405,512,382,002,357,576,127,830,028,983,864,795,836,
310,354,090,925,290,432,388,637,447,261,892,383,474,583,817,719,849,608,835,
865,703,440,045,254,506,556,993,710,125,671,971,895,943,463,204,020,764,185,
635,528,381,449,670,948,889,036,037,784,966,122,124,389,581,018,834,014,745,
541,602,311,342,341,836,505,348,283,982,484,760,084,300,930,400,838,615,778,
023,853,366,429,132,657,778,526,687,929,134,172,732,576,577,203,836,669,389,
436,197,110,135,375,525,687,237,709,679,658,378,307,147,043,991,373,817,461,
797,576,410,843,486,397,105,087,350,312,724,652,547,118,155,512,137,545,670,
243,998,752,960,130,160,552,498,407,896,864,800,917,271,609,055,832,936,226,
029,917,164,359,419,525,597,917,780,184,968,982,975,332,322,087,754,956,782,
768,367,923,343,734,779,983,231,553,718,059,694,656,550,834,615,772,137,720,
043,492,141,532,588,721,117,388,951,266,789,453,568,638,697,342,298,060,870,
930,229,937,410,709,801,503,823,329,203,413,563,923,388,252,837,781,410,328,
319,381,738,923,438,913,430,739,639,793,407,393,747,757,627,497,656,974,182,
229,967,901,024,932,808,547,336,278,891,459,973,441,827,569,821,136,054,317,
394,592,181,210,363,936,454,965,635,264,485,635,604,346,450,723,312,874,904,
216,567,464,460,303,621,763,575,080,916,548,812,518,399,037,643,545,225,079,
904,368,705,408,442,668,660,527,103,476,130,569,175,301,463,057,672,198,418,
301,176,524,037,229,630,114,407,903,810,882,431,456,012,115,823,144,616,849,
458,792,875,662,580,764,456,455,753,275,019,559,755,159,839,236,376,748,175,
124,473,650,528,384,655,799,430,475,010,277,027,955,138,146,219,620,258,598,
695,598,980,510,646,062,880,441,025,848,171,601,172,051,681,614,305,758,152,
769,358,880,398,078,446,630,630,705,057,901,641,787,526,171,538,189,643,359,
210,471,298,900,116,765,572,316,402,747,610,656,246,506,845,279,816,191,787,
417,276,845,255,320,946,760,813,447,956,048,132,334,606,906,186,767,261,067,
952,110,050,019,759,375,927,597,211,081,968,069,735,695,286,355,050,244,035,
037,866,059,059,377,159,039,140,475,052,739,082,587,937,414,367,771,136,813,
214,639,457,934,382,199,240,456,733,121,503,152,996,217,287,782,030,851,128,
198,461,256,493,330,996,575,587,107,239,263,552,102,558,586,539,921,705,339,
073,502,002,110,971,594,557,989,156,035,477,881,105,644,641,414,964,437,775,
746,819,186,781,533,682,888,737,574,639,766,666,246,585,615,611,995,869,497,
367,312,100,910,244,614,716,578,021,059,101,257,425,260,775,712,815,235,546,
326,173,044,361,537,839,135,603,857,608,422,875,066,684,509,528,207,045,015,
213,364,330,247,615,195,316,255,614,368,518,135,048,624,044,739,527,817,932,
071,795,895,759,872,137,513,661,581,370,532,897,695,599,131,349,977,840,871,
049,537,161,165,657,112,269,984,762,611,239,893,648,858,516,859,923,237,646,
507,239,106,664,019,533,358,843,309,577,329,530,752,599,232,857,379,592,628,
659,557,054,665,573,152,079,013,362,209,773,275,969,353,240,610,980,598,832,
349,102,085,631,698,830,459,776,750,927,625,335,308,367,325,741,198,176,586,
019,636,520,750,908,943,750,281,069,753,890,367,938,913,882,820,380,836,890,
515,068,886,676,608,348,096,441,105,426,110,425,366,211,385,939,538,379,689,
757,506,981,756,539,225,558,931,026,735,579,995,382,291,692,203,657,331,736,
568,697,090,088,038,831,911,356,808,043,641,466,908,914,841,394,112,255,150,
272,157,190,826,861,595,370,779,997,334,912,577,102,772,282,264,252,688,056,
549,474,991,493,545,588,716,018,176,183,681,183,697,893,436,538,832,566,113,
860,202,980,228,125,820,116,800,471,936,474,618,707,204,023,650,870,766,367,
545,008,444,361,029,386,551,735,878,305,734,455,264,837,634,622,584,437,932,
956,324,923,931,741,271,183,260,075,903,537,747,151,535,376,220,505,111,740,
941,891,793,818,576,516,632,632,569,948,088,439,631,975,932,099,677,508,609,
957,990,957,845,644,372,867,642,168,683,205,663,837,027,860,951,960,535,515,
951,004,045,360,697,909,303,754,158,388,524,039,405,840,506,478,977,512,679,
486,558,605,442,229,378,797,147,589,187,988,538,150,583,895,590,543,412,481,
561,531,336,735,340,176,369,797,253,847,360,509,672,589,138,153,987,153,327,
097,675,606,786,650,253,334,838,912,177,546,745,088,439,143,514,699,338,453,
348,071,392,671,404,562,844,348,363,877,325,328,849,401,023,443,418,101,741,
038,737,409,145,456,295,235,721,557,188,539,845,601,594,211,269,343,218,402,
784,422,062,670,850,136,194,444,536,268,243,402,737,309,249,730,713,422,007,
953,085,307,113,598,563,257,073,816,807,707,231,702,646,573,715,864,906,459,
203,262,567,975,648,948,651,412,053,283,884,896,271,281,609,361,741,563,972,
935,471,000,244,711,583,560,236,208,617,289,421,585,842,594,892,891,863,942,
674,810,681,166,787,396,128,835,304,895,524,660,409,519,541,169,655,103,455,
503,683,535,426,430,215,421,638,767,556,849,208,268,409,670,413,790,822,799,
255,310,360,782,717,703,656,194,330,266,781,713,237,304,343,218,025,641,153,
342,161,420,052,495,761,019,527,561,938,682,750,087,394,002,825,538,641,736,
424,826,985,841,860,455,281,596,227,089,542,425,722,412,743,642,338,844,959,
327,217,604,125,003,883,077,741,829,940,582,879,366,857,749,192,658,035,863,
383,900,095,365,871,736,758,498,620,348,381,582,239,568,646,427,199,932,077,
502,421,227,282,237,967,867,264,468,192,768,416,674,942,737,053,913,207,313,
652,186,824,156,321,249,360,142,322,201,544,107,455,608,853,525,193,974,366,
561,380,719,014,171,994,471,608,722,947,011,599,879,719,666,574,644,996,215,
103,456,303,201,340,560,251,694,880,838,684,671,031,976,347,225,410,384,708,
999,078,322,714,898,885,681,831,736,285,543,006,720,151,332,848,632,765,842,
824,907,610,526,853,840,172,736,790,177,450,402,979,448,483,723,233,231,086,
431,276,347,894,459,301,343,367,548,726,145,516,996,980,286,636,086,940,293,
262,905,665,127,508,716,658,052,354,760,354,886,934,859,285,179,967,997,168,
676,931,801,445,153,354,411,414,926,041,113,970,263,166,570,395,447,785,896,
800,601,898,116,878,473,104,933,224,393,039,330,140,160,285,144,016,122,054,
514,007,584,929,370,159,489,650,648,822,109,376,390,822,393,296,056,810,251,
641,306,226,355,150,878,537,173,307,581,323,721,646,662,456,579,237,240,091,
701,641,786,388,406,462,288,048,073,145,738,132,352,313,414,284,321,172,842,
338,185,807,492,401,206,933,364,956,107,763,724,928,579,306,737,074,282,345,
829,930,682,506,472,172,030,760,967,330,674,052,164,875,363,153,689,115,471,
157,691,016,158,553,131,748,411,895,824,577,054,659,958,942,902,634,926,518,
629,754,135,676,442,099,762,037,814,401,929,421,183,727,815,103,663,489,330,
903,020,278,827,130,362,296,517,457,309,507,764,439,185,579,972,686,716,656,
298,254,889,717,147,760,899,970,486,075,052,617,334,630,855,827,878,826,172,
633,347,155,101,683,072,471,708,687,437,035,175,193,123,320,401,683,736,992,
226,889,829,426,913,687,665,860,130,914,623,881,231,189,438,720,725,994,379,
644,605,380,165,632,424,702,598,702,783,503,886,335,023,661,851,414,399,498,
562,063,024,312,519,026,819,788,759,001,715,999,357,612,712,859,220,112,283,
424,248,812,781,588,784,355,439,086,241,902,723,976,715,191,900,460,162,573,
089,369,412,260,071,136,460,410,638,259,224,490,361,779,523,387,206,201,946,
786,495,822,214,941,493,234,443,981,786,730,709,256,529,387,026,753,924,719,
084,828,519,616,606,369,313,161,459,421,268,585,184,484,391,265,261,299,291,
346,426,410,024,511,439,181,676,511,620,826,119,938,022,003,610,008,741,225,
740,335,402,927,907,729,055,871,885,151,372,297,274,463,606,545,387,011,611,
627,344,163,416,685,727,234,347,074,962,842,513,656,679,960,447,108,827,749,
325,506,791,365,013,600,959,910,066,570,750,791,467,386,344,472,018,131,204,
134,801,102,512,043,849,530,462,560,024,855,982,482,279,965,205,302,236,604,
344,095,539,412,164,775,693,675,773,676,957,325,565,633,110,548,426,874,040,
441,118,059,934,672,542,643,151,241,680,176,630,873,045,686,002,749,697,009,
271,108,915,363,201,578,716,471,958,998,904,215,144,329,497,257,055,966,019,
802,104,498,902,959,523,750,808,921,617,037,424,301,197,483,467,369,599,302,
895,608,503,039,563,004,494,964,879,274,477,204,204,870,306,752,224,897,269,
949,009,253,464,680,633,319,482,624,349,306,065,552,432,845,293,406,621,405,
024,105,601,527,830,341,006,337,537,851,820,173,268,424,561,903,699,922,369,
641,982,798,777,275,535,766,833,699,233,157,978,936,470,619,925,514,988,578,
309,522,482,844,366,927,321,214,191,112,843,252,710,974,552,606,795,375,592,
538,963,294,870,760,595,402,548,586,117,231,552,997,340,136,787,271,105,458,
948,212,146,174,145,418,451,268,009,089,164,556,925,757,366,900,239,008,994,
971,432,035,919,207,978,169,904,085,263,639,652,187,789,796,346,706,628,845,
909,205,521,487,178,770,055,933,059,310,604,821,873,311,852,596,255,487,215,
669,899,705,257,724,200,227,478,296,626,936,722,340,188,647,296,905,645,129,
292,503,527,091,461,944,640,162,822,958,674,095,617,829,860,965,679,017,407,
472,701,353,932,904,026,951,200,429,032,740,212,540,578,708,180,421,762,930,
064,942,924,892,897,409,480,588,896,344,720,538,205,907,335,918,939,320,944,
235,434,555,366,078,280,898,320,319,710,593,436,825,294,890,926,575,286,781,
824,761,765,996,295,852,014,236,288,205,783,296,386,752,013,578,792,307,518,
333,508,623,594,163,729,641,678,124,562,760,371,135,080,200,780,990,991,256,
024,368,361,622,904,597,210,983,904,173,861,616,285,951,135,194,522,319,253,
799,321,059,937,923,561,346,565,558,070,912,762,225,316,973,032,564,440,521,
337,289,088,325,757,054,683,067,204,931,906,194,099,333,483,396,569,570,099,
476,131,439,245,221,460,861,526,657,801,529,152,977,316,843,625,065,967,660,
549,147,191,782,344,573,100,483,452,050,650,072,752,194,027,625,885,441,622,
197,978,428,068,878,569,982,150,479,951,262,024,968,960,845,292,264,342,398,
504,878,937,797,028,159,564,621,624,492,294,868,487,266,513,930,670,306,723,
249,358,996,255,251,984,067,623,290,858,883,445,665,617,038,259,058,005,557,
115,895,341,880,143,112,579,531,645,891,394,720,447,929,990,983,031,598,451,
580,632,195,414,528,067,808,560,497,346,089,569,801,381,072,982,830,685,027,
281,209,429,946,006,076,420,158,077,710,424,206,584,033,677,187,340,067,616,
766,366,731,929,753,858,208,331,357,162,182,887,488,200,514,423,116,370,016,
619,561,901,183,164,235,250,712,061,066,249,529,652,649,163,720,199,550,178,
487,858,874,566,048,466,701,523,223,272,652,321,168,191,164,333,149,635,290,
628,555,985,207,171,797,469,498,993,609,557,707,533,739,434,593,642,133,658,
681,692,270,314,728,680,933,314,429,885,425,189,897,866,544,071,623,332,366,
334,005,444,629,930,322,596,216,901,668,767,198,852,219,328,072,128,410,175,
830,986,805,947,389,949,729,067,572,590,260,281,806,843,757,496,437,925,647,
181,398,391,821,516,874,812,797,522,092,373,535,130,566,921,440,429,366,811,
858,507,304,256,147,473,001,062,266,820,893,351,633,270,487,323,002,918,443,
222,255,145,120,965,649,193,698,565,380,166,948,916,348,894,313,307,971,684,
863,306,695,311,172,030,892,909,261,232,712,376,976,288,822,719,917,939,870,
827,655,116,718,852,304,876,407,163,422,172,201,973,387,291,662,956,868,184,
811,993,954,244,370,257,077,801,127,257,619,176,021,146,023,961,823,783,647,
218,156,828,176,083,302,913,741,809,347,004,380,779,780,007,252,983,462,975,
707,497,811,879,202,173,589,862,483,309,890,392,684,472,679,420,775,274,652,
247,032,982,478,989,232,570,254,343,264,957,286,610,693,420,966,192,377,996,
602,463,030,284,461,971,068,771,998,561,415,252,215,575,881,109,958,764,618,
132,774,965,445,340,251,549,904,099,514,286,148,639,943,756,339,278,060,165,
812,952,560,443,730,390,320,204,731,420,568,238,840,376,225,924,870,583,096,
566,883,167,679,551,570,922,295,090,093,024,862,952,596,902,589,470,176,295,
520,621,528,944,201,090,168,720,102,823,767,679,671,065,326,262,523,572,493,
048,730,067,086,932,583,670,158,160,368,034,022,484,942,748,103,916,228,059,
803,436,642,112,934,891,674,978,944,990,120,446,533,573,620,853,173,753,672,
574,090,696,863,595,781,227,576,361,057,521,536,299,697,501,207,371,556,208,
894,176,654,481,467,277,327,099,877,547,707,104,092,998,416,694,617,536,187,
081,430,189,855,500,608,411,484,461,938,949,976,481,455,753,414,062,988,753,
575,880,888,830,280,617,628,744,476,084,259,530,531,939,642,818,864,537,676,
716,446,835,494,482,296,446,229,257,539,398,189,377,325,909,604,841,804,615,
759,870,592,150,391,488,136,627,706,782,893,255,112,623,468,489,909,941,454,
559,245,174,504,824,226,568,231,050,746,233,278,040,716,587,818,969,328,313,
479,201,205,871,733,280,175,445,256,642,859,058,551,888,630,859,412,957,906,
929,969,499,301,529,698,543,378,848,765,504,140,196,291,922,131,239,959,544,
008,633,126,545,854,598,229,929,924,304,592,355,490,022,965,637,803,438,219,
716,423,403,894,341,117,294,692,725,380,066,734,094,248,948,885,378,508,495,
395,251,857,331,715,395,252,662,002,135,142,366,296,023,392,882,851,347,065,
511,097,094,965,317,944,880,183,055,270,510,875,697,331,844,423,298,613,332,
946,396,263,738,429,097,007,994,597,170,920,434,646,866,397,917,578,483,642,
857,202,242,336,499,743,661,181,626,317,004,411,188,892,244,845,974,893,920,
985,254,167,052,309,280,375,432,732,346,352,040,250,339,646,037,319,480,668,
535,982,250,049,454,335,306,178,274,468,802,672,670,422,248,475,694,854,488,
707,867,734,349,442,092,277,121,675,282,462,084,123,911,190,120,999,239,345,
434,395,394,647,262,755,333,022,372,253,854,956,108,564,486,854,172,085,384,
716,669,488,371,993,107,875,672,926,579,338,416,571,774,511,650,923,144,103,
150,646,040,846,560,714,173,648,844,644,178,540,309,897,290,491,676,690,626,
843,668,342,694,159,022,508,243,528,143,693,052,798,869,327,083,626,668,703,
125,734,614,653,197,555,240,126,921,936,685,014,593,765,365,857,217,445,101,
988,087,868,192,140,966,973,525,413,353,900,101,810,130,257,791,249,956,301,
408,735,488,693,804,644,306,489,710,009,453,625,666,906,068,844,209,208,158,
732,027,334,504,610,264,909,647,318,324,881,403,158,186,579,254,871,788,929,
726,356,663,057,175,318,564,665,051,619,839,336,482,181,845,310,168,763,631,
309,554,483,280,090,985,222,408,932,602,509,270,962,999,648,261,296,706,825,
552,528,353,876,990,206,493,622,368,410,482,420,025,282,099,752,546,606,078,
651,893,717,015,967,186,576,556,627,835,860,122,532,293,005,294,630,030,450,
723,096,613,962,080,461,632,628,298,495,586,006,801,822,619,912,032,898,847,
432,051,101,420,338,632,962,395,138,161,733,014,771,955,669,036,686,981,220,
632,399,463,106,589,305,635,774,068,928,073,367,011,314,220,756,502,551,566,
249,636,217,400,653,415,319,283,609,134,154,573,013,257,318,404,703,392,694,
175,452,972,109,737,262,847,542,097,631,316,534,146,682,715,143,473,065,308,
738,840,211,650,923,083,100,782,741,508,833,940,461,954,904,987,165,516,428,
533,690,384,644,197,354,101,603,791,159,733,989,003,007,946,251,546,106,193,
525,969,364,081,013,425,243,875,847,924,480,543,050,727,403,318,747,517,022,
729,182,954,851,891,624,193,487,805,724,745,629,313,807,330,672,750,521,552,
785,373,897,352,002,048,645,315,025,065,599,030,841,894,116,978,789,195,721,
144,153,252,882,666,977,875,257,703,520,590,545,319,763,886,454,609,492,705,
603,989,856,695,735,056,010,717,627,734,668,973,236,905,360,556,904,999,281,
146,471,821,391,728,568,006,984,798,398,197,416,764,151,472,062,589,206,250,
417,271,194,559,781,547,715,022,191,301,174,654,069,417,072,735,582,095,273,
162,067,278,358,262,537,145,768,000,090,451,749,790,352,376,351,616,316,766,
906,042,552,489,986,863,231,631,136,921,889,184,121,856,619,176,747,557,621,
584,986,082,370,432,405,007,948,791,152,414,568,679,332,616,389,970,057,902,
846,826,652,178,957,455,077,152,281,794,752,705,420,892,556,572,493,832,492,
266,818,607,738,483,490,142,907,548,011,029,276,050,317,914,986,645,742,715,
625,571,800,789,725,793,007,431,739,159,720,114,180,344,805,381,877,180,871,
810,205,367,931,665,982,769,041,713,939,533,683,378,186,114,648,254,628,366,
140,148,587,459,247,776,478,738,496,035,456,492,279,456,801,186,442,697,129,
539,805,727,895,462,935,300,327,606,740,094,722,453,906,688,222,751,367,226,
509,340,191,902,975,999,080,062,742,780,100,395,233,975,699,956,021,224,840,
989,754,363,952,418,521,216,197,967,626,960,331,144,414,576,101,117,700,906,
063,194,470,236,889,722,434,548,441,136,674,628,962,029,948,178,980,331,678,
020,842,335,163,795,799,501,133,314,821,341,574,908,175,381,415,642,506,142,
153,875,623,081,581,891,338,633,290,650,044,711,094,398,129,296,718,137,759,
509,474,468,473,026,796,982,820,288,200,647,575,351,778,972,424,293,649,270,
133,913,239,558,407,879,138,992,203,505,710,432,982,232,415,551,833,181,613,
010,326,453,088,073,269,523,516,084,063,503,771,467,226,619,931,829,523,568,
215,133,552,483,968,297,890,325,755,775,676,878,553,815,077,738,136,857,644,
101,162,250,900,289,114,879,382,084,996,246,654,262,006,702,140,471,532,059,
987,824,161,322,309,744,857,319,586,350,103,670,412,611,102,473,932,839,870,
940,204,142,686,057,965,173,855,743,612,767,703,561,428,889,554,698,655,295,
964,918,507,192,102,226,220,124,495,900,337,102,153,878,236,602,017,311,774,
892,488,667,998,515,411,618,466,388,016,655,394,548,574,387,775,383,059,262,
500,644,330,920,841,749,480,440,577,234,362,597,228,807,687,693,233,972,839,
770,969,649,136,237,466,730,348,700,460,268,868,961,816,714,792,340,046,003,
224,895,533,592,178,367,336,116,213,784,164,564,122,457,477,233,417,801,598,
060,595,444,097,952,924,354,585,270,689,057,137,805,577,043,833,803,323,654,
505,406,260,844,377,577,930,801,265,512,050,345,486,995,606,148,252,627,733,
871,290,339,538,508,788,612,028,440,232,017,838,292,896,083,537,333,592,322,
169,846,489,873,708,042,276,660,194,015,040,020,901,080,722,319,251,599,214,
234,617,127,213,034,908,165,512,635,522,475,849,081,235,229,274,155,702,988,
933,917,028,331,248,693,422,504,407,546,471,802,030,744,153,567,489,318,176,
569,677,702,251,296,833,922,269,145,860,451,163,229,414,047,186,585,933,419,
748,648,953,013,747,505,301,866,633,429,628,020,418,679,244,357,930,006,163,
676,555,822,957,256,939,756,400,597,859,927,269,144,036,545,031,214,690,824,
431,496,613,594,910,418,904,897,087,903,562,743,211,645,987,181,195,965,374,
851,647,294,028,226,263,429,340,897,469,211,736,265,661,871,565,381,027,905,
253,295,391,057,867,691,378,264,283,127,914,559,292,557,247,935,766,700,888,
243,978,857,514,881,148,489,269,532,592,387,070,047,402,782,663,653,237,306,
760,004,774,173,141,384,383,008,868,543,193,882,750,087,741,733,634,560,014,
903,591,280,400,593,509,716,450,878,976,803,378,348,590,518,570,794,271,042,
773,193,255,623,286,153,674,538,262,175,283,638,905,739,440,877,110,690,000,
601,187,619,415,890,989,510,694,173,660,719,482,764,313,991,440,447,501,344,
756,701,543,993,657,013,054,499,499,075,227,006,449,079,851,240,445,244,258,
451,321,029,705,738,509,986,111,024,433,195,554,845,711,564,819,103,170,567,
244,402,758,054,939,483,102,507,682,087,100,988,415,649,602,219,128,765,066,
267,405,021,105,251,863,593,007,083,192,702,514,034,407,705,827,448,971,278,
285,036,176,806,691,005,762,159,776,149,375,230,451,156,417,370,428,438,508,
355,269,513,046,695,295,515,012,171,622,861,253,262,143,496,951,373,803,004,
646,396,911,696,953,985,422,630,476,061,122,306,685,985,743,218,961,547,105,
509,853,782,214,258,303,743,375,181,928,588,252,811,227,319,585,132,856,721,
522,582,615,624,842,409,390,921,632,930,512,699,008,735,417,391,529,981,488,
638,736,516,951,616,431,871,214,680,591,523,156,743,493,352,799,286,777,814,
960,271,764,747,129,600,230,907,583,940,877,351,804,725,811,279,547,702,431,
151,725,830,692,350,020,343,916,061,930,797,799,666,294,711,812,251,590,080,
332,400,989,375,872,248,699,556,367,893,171,240,707,579,471,611,829,043,598,
518,511,034,039,263,999,146,661,465,358,374,871,420,459,959,582,704,671,034,
794,283,316,880,863,548,960,382,911,760,161,175,980,068,152,223,063,478,132,
866,128,250,737,878,408,671,422,970,078,833,853,936,575,791,195,116,454,120,
514,449,998,070,202,880,429,697,958,465,969,752,914,723,959,743,830,690,708,
789,149,610,064,482,611,412,652,102,184,959,946,555,255,820,238,668,290,620,
590,362,660,001,141,310,045,330,459,730,253,851,660,430,459,925,070,574,412,
376,705,661,199,076,241,127,346,187,444,734,911,345,332,221,126,271,990,193,
916,295,488,035,955,836,017,264,105,218,483,136,394,548,422,489,161,562,678,
716,399,078,829,921,591,600,831,089,447,690,859,620,329,178,483,246,340,863,
090,772,303,429,760,063,456,704,434,466,374,827,333,601,078,594,266,586,293,
811,904,873,075,970,677,405,229,365,071,935,813,058,544,784,700,630,122,232,
013,464,342,052,231,914,175,755,246,874,082,839,325,130,696,103,835,826,311,
074,956,784,714,932,489,243,714,086,909,404,146,598,633,420,817,300,707,869,
800,926,286,376,091,891,966,543,941,078,614,984,744,505,452,091,524,454,620,
039,908,971,501,309,974,893,809,552,643,639,868,328,158,771,427,624,406,138,
215,662,433,318,352,474,687,065,818,878,720,893,886,822,366,730,906,516,963,
953,781,901,627,153,101,731,671,023,431,979,710,517,188,044,316,207,995,840,
795,656,892,168,019,167,230,420,122,806,699,401,929,807,619,436,844,099,204,
179,738,264,305,660,231,723,906,376,412,523,410,656,082,079,940,186,501,052,
065,853,865,881,552,094,781,779,194,985,773,807,779,378,106,587,683,893,035,
550,396,466,037,041,476,254,206,087,392,500,273,351,605,171,698,499,473,423,
096,394,969,842,264,111,272,269,720,572,709,572,193,903,908,973,796,327,999,
006,210,540,591,605,535,762,259,210,947,654,826,602,447,721,996,288,716,396,
583,014,286,670,233,599,186,569,986,720,732,089,279,732,442,664,032,473,527,
424,272,194,336,331,661,687,182,019,569,371,651,387,173,054,139,781,841,910,
464,010,457,946,873,160,536,164,343,946,535,925,776,320,580,357,738,905,762,
323,813,602,396,230,254,747,880,228,563,206,237,101,759,925,605,266,953,311,
320,296,543,391,605,416,970,897,589,488,782,149,397,459,609,618,523,825,527,
713,158,866,914,693,140,361,873,365,059,236,880,328,694,808,287,562,226,591,
250,518,486,117,271,464,415,287,177,052,248,193,697,136,195,803,031,929,971,
764,034,552,053,106,161,120,105,403,756,613,804,218,968,472,292,654,129,976,
576,492,825,513,364,576,749,055,748,174,018,586,027,297,776,130,251,872,044,
341,912,785,155,592,336,979,655,792,239,600,356,416,187,692,105,759,427,958,
893,935,716,295,144,974,362,077,174,101,271,684,869,229,448,958,403,179,288,
877,242,412,132,263,044,838,509,627,159,982,983,919,974,894,041,318,743,038,
085,617,263,018,162,179,041,435,336,549,105,235,510,520,782,827,385,433,262,
101,707,606,029,020,785,228,494,139,536,265,035,670,794,356,940,050,214,018,
829,040,994,121,722,200,987,617,388,357,416,612,720,573,812,981,839,025,628,
858,176,628,684,857,172,602,731,070,537,799,840,015,918,811,848,493,303,183,
469,369,961,490,026,728,863,744,202,207,965,854,149,055,357,382,327,796,069,
943,743,889,106,212,064,126,949,052,167,896,913,441,324,529,274,582,863,337,
380,491,808,483,937,113,250,349,180,343,380,928,891,485,025,325,652,343,560,
885,919,382,776,678,577,659,051,024,196,515,010,638,254,709,128,646,894,604,
726,630,767,311,166,650,596,046,016,673,111,257,713,381,557,026,394,386,477,
574,596,752,354,075,787,351,823,671,514,003,856,860,886,481,757,109,563,639,
360,200,516,565,540,903,104,779,454,800,431,053,120,398,087,543,369,063,598,
999,109,607,596,872,855,069,928,269,258,250,419,153,041,473,965,424,688,301,
096,737,993,795,959,979,821,040,959,602,266,386,102,505,156,129,186,074,598,
341,508,793,120,223,668,721,611,366,928,097,093,275,823,235,434,346,985,239,
366,976,287,430,753,176,336,891,015,518,491,244,708,456,772,355,699,228,992,
017,222,910,925,583,061,005,319,863,026,181,927,469,030,131,592,427,569,482,
714,817,078,109,939,350,860,183,426,095,430,135,409,802,746,182,889,557,544,
964,832,523,703,557,703,649,993,016,669,603,923,532,793,210,845,614,761,443,
564,197,233,120,486,248,163,868,255,308,034,293,290,728,395,518,162,976,308,
049,108,755,335,752,040,006,466,218,330,000,175,255,318,617,438,285,962,972,
866,617,460,543,686,008,517,428,836,927,402,526,466,321,349,871,518,320,228,
204,173,767,445,454,016,528,562,335,099,232,248,588,060,703,411,377,912,714,
853,102,197,162,362,051,473,230,953,089,987,878,039,495,303,229,159,280,141,
192,239,665,198,202,924,488,253,390,394,630,816,142,032,981,425,277,023,420,
469,371,887,375,735,966,164,961,813,835,925,531,151,655,258,252,835,241,132,
479,937,477,422,773,653,811,220,480,829,086,706,726,698,806,462,987,488,897,
765,579,936,032,083,405,289,162,752,109,600,142,896,817,373,919,203,471,736,
385,619,602,913,105,991,762,292,647,014,625,827,978,494,600,613,258,954,333,
525,705,867,770,700,435,229,447,628,439,610,701,313,823,771,810,692,489,690,
687,054,174,201,697,735,785,153,529,543,205,453,919,500,626,317,416,644,468,
994,743,339,793,704,310,031,322,418,212,812,319,638,799,717,368,014,867,666,
263,211,624,186,628,193,379,967,633,643,642,898,384,810,156,779,762,410,781,
798,253,853,221,240,429,224,068,517,714,518,001,852,869,090,238,165,599,902,
521,361,106,654,823,897,493,110,096,943,458,090,085,471,514,214,783,456,573,
425,279,074,430,810,534,126,868,245,426,824,069,134,042,508,035,691,322,562,
241,171,742,500,956,114,869,191,528,963,327,289,274,081,709,321,889,033,173,
171,421,049,544,396,679,663,771,515,008,010,743,881,937,405,538,575,315,691,
389,787,299,376,191,501,470,301,761,180,903,143,628,378,539,294,113,888,200,
206,062,780,048,196,591,747,225,678,451,896,699,219,142,222,196,239,972,121,
343,097,281,586,210,558,170,216,683,149,833,199,467,152,209,841,466,039,772,
006,188,898,136,879,209,808,379,781,472,141,732,285,118,551,873,079,428,570,
672,401,957,576,514,323,512,677,641,741,625,019,642,213,409,066,444,902,457,
953,622,282,511,306,317,129,686,667,912,779,287,864,575,571,746,250,325,772,
677,748,187,113,018,039,687,729,894,745,271,306,161,678,079,960,046,229,162,
438,239,367,650,331,187,469,077,234,710,363,826,286,742,535,689,240,715,343,
155,751,715,111,532,444,090,969,635,361,883,442,864,533,845,370,149,193,580,
538,904,645,081,654,536,225,294,370,923,365,735,910,283,806,384,890,169,020,
955,079,166,679,167,114,017,231,040,552,425,774,309,739,967,408,727,401,257,
767,307,999,304,487,293,639,145,780,496,605,839,369,421,386,807,459,991,565,
154,225,022,668,446,042,302,020,213,557,506,566,903,248,019,316,312,933,385,
910,115,136,368,184,682,566,455,268,634,625,696,498,069,973,275,144,824,046,
436,862,524,412,264,409,517,311,678,095,687,543,559,799,560,407,112,128,614,
320,466,104,408,411,676,555,680,852,051,362,942,700,652,909,996,391,557,778,
305,133,653,172,177,667,967,298,226,843,397,326,765,446,764,078,367,140,336,
384,541,144,575,059,389,170,785,742,659,078,827,150,973,848,901,620,550,784,
261,265,347,452,630,015,504,345,912,445,302,083,040,834,390,419,185,631,271,
255,129,563,570,515,602,451,264,553,202,933,043,963,279,108,274,796,539,287,
816,664,473,259,952,397,833,843,602,635,361,157,140,983,229,710,394,718,707,
765,508,036,137,372,455,693,754,372,127,055,534,901,761,803,287,395,158,481,
215,987,431,405,359,467,479,849,172,045,933,711,315,886,828,917,746,659,545,
213,934,347,886,926,546,556,845,168,372,045,647,482,203,027,650,201,832,639,
576,045,490,430,325,847,457,806,591,037,280,677,934,099,377,298,376,728,145,
516,699,320,047,219,829,641,127,508,716,888,220,329,096,823,903,017,290,141,
256,836,900,001,182,324,524,182,955,593,044,036,167,051,799,984,346,556,394,
709,163,729,186,040,474,653,905,279,567,803,229,933,515,708,482,637,664,004,
741,246,789,732,037,698,454,291,228,771,099,848,492,267,442,184,699,615,546,
180,946,989,634,707,388,934,823,092,635,313,924,650,285,093,334,469,919,312,
064,069,970,312,865,795,496,894,174,406,578,724,561,105,373,851,680,793,194,
549,190,285,611,682,074,164,690,527,810,138,576,732,758,333,369,587,660,651,
882,366,475,280,042,512,510,637,604,579,936,764,460,828,190,005,497,009,247,
626,006,790,152,753,236,063,520,962,038,217,223,492,970,662,102,813,341,450,
115,475,291,982,636,511,898,730,808,455,733,375,398,187,738,255,832,970,086,
074,514,637,729,807,430,480,289,487,049,109,266,203,885,601,190,861,537,299,
526,763,453,376,362,761,427,918,243,305,308,126,029,157,273,907,874,420,154,
070,986,321,486,820,697,554,890,061,223,855,537,178,575,496,361,410,914,838,
421,969,754,295,049,569,765,657,928,154,958,185,804,537,439,947,936,757,383,
854,966,425,014,927,156,732,338,086,845,926,728,772,170,724,395,556,966,473,
592,117,482,317,462,245,135,187,637,266,672,539,118,532,013,656,243,147,336,
871,958,308,906,614,267,824,346,329,635,895,750,894,413,797,400,240,876,047,
264,081,761,819,969,970,144,808,657,205,561,497,261,089,030,241,820,556,997,
934,583,378,586,231,822,992,510,129,237,166,938,898,652,576,370,786,287,398,
323,892,405,202,017,208,752,059,264,780,570,573,873,674,281,139,434,386,108,
680,581,090,584,865,261,087,794,435,881,056,350,181,016,927,147,608,097,200,
376,699,980,738,031,946,765,166,579,535,030,928,781,036,296,523,823,388,348,
886,542,967,326,121,652,268,958,406,357,624,723,250,258,651,425,708,034,332,
686,553,295,115,102,821,725,456,493,163,378,010,427,161,367,003,162,265,200,
303,187,050,073,151,171,078,780,116,055,430,735,963,586,176,815,357,472,073,
598,906,600,240,283,117,390,508,289,752,942,139,167,735,133,534,034,780,677,
259,564,913,526,528,308,580,950,599,270,477,435,017,821,204,382,929,294,251,
913,435,735,612,440,548,200,913,615,904,166,982,422,172,753,349,815,373,884,
051,451,684,862,107,009,370,272,882,719,512,606,742,705,137,307,252,820,039,
669,788,421,032,347,420,346,891,762,941,664,415,364,727,495,793,338,678,806,
737,518,793,939,721,648,218,456,483,560,499,037,539,910,206,625,921,819,607,
570,085,584,067,131,918,457,007,348,766,682,361,368,810,539,917,384,297,503,
715,417,852,942,909,748,334,410,551,151,130,917,098,010,433,908,562,996,592,
455,556,121,016,959,468,620,488,620,274,632,466,515,621,167,158,656,056,649,
296,903,627,199,971,481,972,838,145,097,634,045,934,991,700,117,553,948,626,
293,182,486,737,506,772,259,858,654,081,255,705,550,589,434,310,470,807,656,
898,322,942,018,608,211,168,296,465,885,631,424,681,295,107,549,715,407,988,
457,623,624,859,751,372,710,012,850,081,285,000,907,046,124,243,290,492,780,
896,578,753,069,091,633,184,811,808,801,586,412,756,952,123,092,945,266,726,
644,435,582,018,596,521,909,332,594,674,019,591,409,659,638,845,801,305,926,
047,172,463,842,063,918,364,407,957,505,160,278,679,447,915,981,906,887,196,
584,097,187,692,061,794,930,377,365,240,671,648,931,121,261,900,079,188,114,
835,764,943,977,839,200,108,712,698,232,509,619,377,027,902,339,193,705,052,
385,557,128,237,892,117,049,035,935,887,483,679,895,911,012,637,166,062,353,
384,368,226,285,581,696,939,656,720,011,827,307,761,965,646,397,466,822,137,
569,332,794,266,110,439,938,767,983,967,925,332,929,189,303,224,864,509,796,
013,153,116,526,322,183,509,825,743,442,614,995,857,353,025,956,775,268,646,
529,235,989,422,589,622,642,666,210,718,160,001,466,416,968,954,864,428,421,
911,880,776,230,653,059,679,195,275,242,821,825,777,385,182,635,222,842,783,
398,208,667,678,141,077,421,556,974,842,891,508,458,283,336,374,255,536,265,
518,296,322,388,663,684,665,704,567,328,975,962,665,059,891,846,064,634,612,
647,503,877,905,589,347,239,328,932,709,825,438,948,791,111,095,276,133,944,
148,031,591,589,671,696,157,472,269,563,771,252,816,988,829,230,441,288,134,
403,752,352,647,130,795,338,896,510,224,946,121,770,334,881,449,209,985,393,
836,741,335,517,491,378,558,332,164,312,529,342,757,226,732,564,141,096,021,
358,010,436,162,004,483,588,179,872,476,356,985,686,711,295,147,946,230,960,
347,529,453,294,167,528,604,648,628,070,334,238,677,942,202,621,772,306,409,
475,047,708,912,111,889,956,757,177,208,953,375,231,614,573,501,768,807,274,
674,485,020,230,239,058,032,480,614,535,074,931,587,141,766,695,447,292,682,
197,800,842,241,775,393,868,596,675,094,250,145,949,834,134,640,045,634,739,
453,869,229,350,130,860,005,094,656,403,109,547,842,538,332,711,798,423,571,
887,823,315,398,201,254,401,261,437,661,758,209,583,854,605,803,014,362,491,
092,464,093,593,140,843,870,904,647,040,066,611,036,405,448,029,816,719,794,
026,767,832,713,312,971,095,459,333,151,269,406,876,224,139,944,745,711,884,
993,951,790,450,539,401,389,531,759,163,205,687,239,709,928,313,878,539,734,
899,873,397,019,445,840,459,387,311,343,131,986,224,501,493,089,794,826,539,
552,791,862,474,792,596,717,011,624,777,409,709,795,259,865,627,617,837,050,
089,296,574,796,311,131,036,167,316,267,591,495,668,876,256,163,910,080,280,
260,301,809,056,334,116,864,880,749,065,587,757,922,537,875,334,714,669,487,
243,257,180,388,100,996,990,527,341,795,354,950,259,044,440,321,546,980,504,
240,783,898,119,299,479,003,769,881,469,997,754,492,574,823,690,802,572,031,
808,440,301,939,042,387,809,092,394,765,882,691,958,641,366,569,757,728,914,
010,703,050,107,099,065,080,614,443,421,249,054,404,004,554,448,522,281,501,
456,124,590,325,481,975,120,883,383,784,440,657,689,332,522,093,446,232,838,
530,822,231,051,656,187,138,858,802,830,302,996,871,875,369,553,168,292,458,
259,141,473,748,725,062,082,394,153,267,046,186,959,415,494,680,877,326,196,
505,873,370,998,837,653,232,177,779,726,678,405,974,275,480,142,466,775,613,
792,327,733,282,195,484,416,718,250,526,234,691,755,642,489,081,822,529,085,
202,958,024,202,924,024,599,980,813,733,193,897,486,277,946,497,146,865,130,
199,109,286,814,693,954,576,568,418,801,256,032,564,206,660,731,652,140,733,
620,744,907,068,219,917,410,415,825,110,571,283,044,204,382,032,177,945,707,
455,289,311,076,096,416,092,677,588,310,683,796,190,674,174,754,129,210,868,
732,317,715,481,896,903,503,003,386,308,388,402,549,942,553,909,512,114,102,
105,308,586,195,494,046,787,493,292,429,190,396,383,846,685,260,277,982,958,
483,917,906,116,041,152,036,701,843,217,733,316,383,781,721,816,174,146,908,
323,409,330,552,817,476,472,624,916,352,670,243,590,917,386,171,607,186,355,
001,328,523,405,767,204,262,832,362,438,397,378,920,374,753,044,455,170,068,
059,908,461,915,873,154,395,014,234,549,532,658,565,162,424,546,991,514,707,
940,476,328,687,463,705,140,818,775,515,646,370,224,470,752,787,366,646,423,
094,250,268,407,828,913,986,281,035,824,534,279,827,272,857,073,157,514,258,
547,601,385,901,043,834,036,920,926,937,283,770,745,930,705,962,426,706,043,
964,472,728,268,426,836,402,069,958,218,082,084,860,013,838,473,348,638,757,
089,371,730,633,812,491,708,593,849,519,925,253,898,567,846,975,924,506,010,
032,378,008,683,118,041,866,786,299,999,306,292,238,743,650,594,729,576,962,
354,722,397,402,788,922,992,615,080,008,887,472,925,918,492,593,647,895,850,
905,336,050,760,222,347,276,468,465,453,563,104,906,919,219,592,101,911,206,
997,528,194,791,941,520,800,912,016,317,282,778,325,106,875,965,404,872,839,
436,174,463,259,319,148,913,474,862,943,263,302,029,581,659,344,850,136,545,
179,020,794,628,670,482,722,068,924,692,612,275,687,740,594,135,467,665,598,
832,538,443,191,076,415,522,232,023,293,379,611,118,864,919,558,597,396,093,
042,423,109,074,497,199,977,097,065,473,522,554,232,899,901,465,960,757,774,
584,080,854,710,040,494,285,825,427,954,541,832,388,091,343,239,252,249,632,
801,583,446,268,447,957,838,956,340,379,564,715,231,308,065,976,042,650,799,
137,350,071,042,934,486,872,279,834,543,158,779,863,683,945,611,710,364,219,
339,558,165,538,253,705,373,597,395,030,415,066,601,780,451,568,089,640,390,
813,275,891,013,114,739,710,970,252,744,746,262,074,886,428,110,197,274,924,
627,708,068,910,718,356,021,556,577,456,552,593,703,081,562,642,772,311,943,
993,985,269,715,319,928,831,783,384,013,229,195,369,941,431,673,749,085,645,
079,057,184,414,570,012,884,278,328,697,906,510,241,061,444,188,705,111,909,
770,813,492,229,501,796,483,608,854,454,263,714,009,967,461,628,331,740,335,
478,380,880,645,899,855,583,374,391,914,281,896,591,010,397,161,936,937,605,
466,304,134,965,972,019,603,466,226,556,573,717,114,258,958,616,995,671,614,
957,175,329,564,272,842,449,420,090,190,959,629,246,873,352,132,378,074,937,
098,065,784,436,458,195,881,400,708,123,100,280,779,353,435,350,907,764,616,
405,839,010,463,064,692,636,891,238,354,424,516,660,734,601,747,187,471,296,
749,184,033,180,693,180,858,543,061,210,714,145,355,962,954,306,208,345,730,
338,175,707,414,637,130,524,235,696,488,523,359,545,635,672,471,655,335,585,
887,852,066,387,060,537,261,035,164,155,725,052,799,962,085,144,200,447,976,
931,218,478,769,927,421,968,786,890,411,836,907,203,606,377,554,269,699,784,
025,703,561,307,959,497,933,175,095,621,672,281,399,039,925,648,672,451,137,
650,902,321,204,728,632,773,847,454,007,022,502,287,861,777,673,391,199,335,
055,871,320,703,799,699,938,018,304,279,937,965,927,616,342,412,035,150,927,
708,513,171,201,713,970,508,071,747,330,001,486,370,647,452,553,869,396,689,
322,177,111,607,404,049,975,891,292,746,628,233,735,336,522,476,014,736,159,
099,692,616,957,992,161,440,329,300,626,867,807,837,796,632,142,417,460,077,
660,399,414,167,174,767,893,622,094,440,265,077,095,738,041,505,406,886,416,
825,738,381,289,224,666,132,119,310,293,826,391,052,918,877,476,514,933,115,
125,907,051,753,902,944,453,093,112,036,210,478,570,239,649,921,453,219,957,
080,278,491,622,258,583,366,046,710,552,971,523,180,094,957,147,254,250,294,
311,464,763,568,079,186,947,054,292,465,826,790,867,651,789,605,692,180,976,
160,098,133,108,540,513,047,311,125,937,274,121,269,528,452,195,796,500,605,
168,557,871,283,915,185,066,117,759,426,356,311,762,841,762,790,803,066,676,
686,475,966,588,397,095,171,367,449,488,891,889,819,116,219,100,330,539,233,
099,493,312,980,309,342,384,344,130,065,496,526,454,830,420,829,610,779,041,
618,125,285,976,503,813,498,535,300,228,616,078,197,754,178,186,471,069,124,
094,476,806,507,878,668,386,751,819,223,771,673,799,555,768,271,642,439,155,
285,016,605,152,951,122,684,890,168,061,278,713,796,177,480,834,560,163,162,
157,239,193,178,854,285,498,504,890,950,447,463,780,898,856,815,793,914,628,
114,219,406,345,230,657,825,781,557,987,824,097,155,866,137,069,309,326,708,
553,742,705,918,379,586,461,292,664,020,567,972,705,236,501,953,547,195,111,
749,091,156,487,647,315,405,201,000,701,719,067,012,507,626,897,975,641,253,
315,252,205,276,152,618,330,814,861,009,080,425,818,053,478,366,391,760,774,
239,612,544,390,193,345,431,644,079,193,014,246,501,456,598,101,666,952,443,
979,011,550,558,822,851,436,065,665,210,012,185,938,825,989,115,958,645,440,
157,514,122,590,026,734,444,948,841,867,939,108,394,586,460,160,583,342,574,
928,996,532,636,326,141,677,292,804,066,202,881,114,835,175,404,862,450,198,
602,541,262,966,820,020,777,309,488,101,156,415,418,434,638,235,465,799,442,
577,408,269,480,984,098,008,504,028,144,596,118,142,261,875,764,359,402,834,
501,244,480,001,717,556,766,568,977,780,908,964,655,008,063,282,985,030,496,
722,287,950,671,050,365,977,833,791,811,805,931,506,990,399,814,160,501,715,
579,712,383,419,260,850,199,510,430,407,910,770,872,557,586,844,187,436,815,
422,464,872,986,951,493,267,579,044,959,130,739,382,025,306,362,856,620,417,
052,470,726,183,550,528,609,912,301,916,138,138,027,685,065,461,895,464,925,
152,396,815,265,857,125,631,191,339,981,211,184,965,799,332,223,085,555,381,
910,861,570,481,192,254,711,277,601,242,273,488,177,768,042,695,737,080,899,
270,202,891,352,320,389,503,629,804,792,965,308,271,846,078,325,927,322,376,
297,723,531,242,661,205,094,551,142,928,165,587,649,654,310,787,128,907,076,
879,203,675,000,287,245,705,760,659,110,921,630,723,484,282,352,277,512,342,
736,550,351,347,420,903,100,050,959,582,201,079,887,943,390,497,632,981,005,
443,085,308,090,377,703,719,619,818,957,570,834,370,901,411,514,935,738,720,
066,338,425,653,742,505,657,557,528,842,479,643,968,654,373,642,518,305,658,
622,786,948,164,195,681,962,429,814,978,159,382,004,252,184,165,367,767,684,
244,821,762,236,446,298,615,380,809,106,724,954,404,191,388,720,575,618,418,
995,629,750,109,226,135,262,438,503,414,929,674,628,809,204,681,298,246,087,
305,214,285,608,572,434,770,647,092,038,939,315,000,150,912,161,741,228,853,
871,272,360,860,105,421,983,224,847,987,220,155,976,577,528,427,396,607,923,
924,943,893,457,018,302,934,617,697,790,039,751,598,425,375,186,817,233,442,
374,355,000,399,803,453,568,088,767,927,685,733,915,927,235,975,146,024,409,
131,016,345,530,541,487,950,661,867,926,041,467,626,553,438,893,279,217,671,
683,451,209,733,535,548,860,554,367,669,874,696,778,705,371,964,200,164,272,
213,427,140,663,664,922,523,131,001,643,252,730,560,717,279,649,328,296,379,
836,200,165,204,074,464,127,294,647,341,911,596,095,404,893,273,685,162,507,
275,981,878,100,430,351,830,043,201,957,281,473,999,461,428,008,255,321,389,
824,248,938,091,737,153,693,468,617,579,070,852,791,756,863,494,163,090,773,
114,217,341,825,517,181,676,418,115,791,324,891,000,952,884,733,134,939,762,
443,805,033,902,717,555,810,954,527,086,285,634,749,813,320,107,859,706,657,
977,430,074,326,544,191,924,728,531,896,834,341,764,640,811,152,988,637,572,
509,940,021,563,983,735,700,763,553,825,545,022,664,602,892,320,358,695,649,
091,459,826,490,531,544,780,375,924,758,704,240,562,346,169,114,952,979,646,
309,749,386,896,278,220,443,295,852,545,811,928,425,612,614,824,818,213,921,
814,202,280,857,821,322,552,826,915,894,205,259,007,367,888,886,236,536,575,
091,096,582,363,714,699,704,167,272,773,323,588,547,950,771,006,020,766,467,
241,346,121,657,438,024,536,884,150,466,299,834,280,908,738,784,000,242,699,
732,478,281,104,550,047,273,825,511,383,885,940,671,410,809,841,829,515,274,
866,355,608,450,420,247,833,680,182,973,550,353,073,150,961,989,066,625,731,
192,257,874,170,046,699,435,148,729,354,195,938,312,426,231,756,753,303,460,
159,340,897,517,938,624,159,620,248,208,413,998,635,981,898,752,310,429,341,
654,706,611,423,161,694,022,097,722,594,394,539,969,340,231,066,101,112,105,
897,830,603,555,160,422,481,181,076,170,837,281,511,233,185,086,477,224,157,
891,055,848,711,130,931,305,913,326,746,520,939,916,946,071,915,796,538,303,
249,791,398,933,683,112,641,284,597,417,770,384,180,639,463,069,613,499,866,
862,989,122,923,791,616,284,233,968,391,775,259,975,031,574,243,358,756,189,
963,303,732,012,664,820,361,317,888,606,748,045,823,472,995,898,115,575,213,
047,914,870,495,306,657,075,461,356,970,514,755,501,551,357,237,732,783,019,
440,208,461,137,112,908,111,813,960,819,759,007,523,554,580,455,907,597,531,
523,617,616,984,255,438,420,615,032,303,201,923,536,576,315,646,004,823,600,
791,549,620,073,587,511,610,875,310,611,799,547,759,570,131,238,917,721,085,
080,420,705,428,779,714,550,092,002,208,001,203,155,180,868,253,512,592,582,
463,600,884,149,909,696,462,376,202,719,437,464,622,471,211,140,734,294,084,
482,457,487,309,369,114,198,314,016,259,693,145,197,259,868,996,900,095,399,
539,599,728,058,605,021,956,210,714,935,327,389,973,112,220,987,062,094,098,
045,979,463,434,927,965,930,634,721,138,120,845,284,631,638,903,418,219,883,
313,288,627,780,702,859,148,685,390,452,841,451,314,844,807,603,184,336,238,
151,583,413,691,828,119,905,567,148,669,606,765,947,549,680,436,900,971,274,
329,753,187,471,580,306,458,942,518,663,790,490,657,376,867,104,959,910,973,
468,490,934,145,796,247,579,598,210,330,370,794,480,850,179,527,275,807,653,
270,776,154,092,932,586,759,642,133,487,538,426,853,209,699,859,656,809,357,
227,165,285,481,974,679,409,486,877,503,532,177,272,539,589,063,163,111,818,
642,466,307,759,695,902,640,855,634,504,902,289,095,031,518,566,949,574,367,
039,199,206,497,267,083,998,920,634,849,303,835,643,344,728,493,280,852,546,
446,512,287,591,233,533,255,143,464,379,205,767,350,315,892,419,397,739,771,
728,179,008,407,536,022,174,276,319,978,658,636,126,155,031,317,235,658,399,
785,565,658,715,589,877,030,455,204,468,983,170,351,126,000,339,043,061,543,
160,609,614,744,459,562,439,891,390,370,202,658,433,200,022,323,223,238,953,
572,313,460,931,461,660,267,395,964,297,337,953,282,785,015,860,706,535,712,
676,314,178,938,083,237,540,308,088,606,301,881,995,557,180,011,349,175,042,
907,145,919,580,336,862,827,691,242,803,456,734,839,567,144,641,998,602,075,
388,357,526,998,957,858,774,808,012,573,553,879,127,830,915,098,549,070,519,
220,580,940,385,696,293,283,857,340,872,351,195,589,356,337,440,115,697,214,
965,653,775,559,021,980,370,732,598,609,479,350,921,194,212,461,429,786,108,
008,210,125,537,702,904,572,029,870,252,952,454,068,835,437,420,367,718,255,
581,521,474,382,409,058,358,493,671,726,541,233,703,823,871,131,069,198,703,
820,965,200,728,330,104,986,691,469,233,608,519,582,239,443,825,174,637,271,
869,381,781,767,470,759,992,647,187,411,522,093,117,937,829,967,923,294,010,
464,807,484,398,950,439,150,852,661,074,864,719,928,875,413,114,336,284,403,
871,391,422,733,612,910,673,781,508,215,404,284,117,154,151,779,804,340,842,
840,389,611,998,819,301,082,222,528,492,701,118,948,095,728,594,239,818,786,
276,144,272,443,914,536,467,163,144,411,298,626,841,267,673,531,121,047,964,
985,130,511,431,583,938,959,166,426,790,341,898,430,672,342,780,314,703,486,
189,159,774,488,920,276,722,651,081,492,828,718,129,253,026,397,633,233,548,
104,791,086,719,561,495,058,272,170,841,204,023,570,534,249,725,683,013,437,
296,959,824,582,623,755,472,711,756,455,990,913,836,289,862,328,212,270,481,
037,051,799,193,597,414,346,397,371,286,703,590,957,064,233,894,717,245,413,
591,344,476,232,739,158,208,604,131,739,556,997,043,283,004,890,970,624,925,
619,704,926,422,613,256,914,632,567,993,530,957,970,720,294,170,713,881,109,
990,823,514,522,706,400,063,866,806,546,744,368,760,527,907,528,882,967,451,
692,164,939,428,184,701,655,630,351,858,529,479,102,926,986,413,786,814,309,
619,274,164,015,411,064,963,708,503,228,325,110,271,552,429,213,593,790,997,
618,634,224,736,931,067,242,647,627,515,370,773,834,993,920,613,139,083,381,
737,273,188,270,213,331,695,673,428,876,857,293,319,926,416,306,765,046,481,
070,992,066,082,918,413,275,152,423,432,083,578,012,677,797,192,519,633,211,
464,098,697,072,562,553,008,942,739,912,110,018,790,482,400,960,769,521,670,
557,527,612,948,611,986,639,550,104,235,924,217,788,970,463,597,536,663,215,
141,988,182,736,238,397,866,187,575,190,308,886,259,623,702,275,065,067,792,
525,332,355,246,821,711,513,253,296,497,703,169,947,512,700,246,796,819,098,
447,380,608,557,456,854,227,865,103,724,723,707,029,101,436,621,341,638,915,
184,626,591,428,008,917,474,736,797,348,464,351,570,472,874,420,215,612,767,
890,061,982,164,774,899,744,337,198,226,011,550,203,750,980,441,815,156,458,
671,002,232,278,069,337,587,153,763,355,456,021,177,003,746,914,978,125,069,
976,702,126,989,019,434,718,674,634,588,394,958,825,945,701,729,922,847,080,
081,083,096,939,864,531,205,544,935,687,233,335,481,489,047,496,409,120,975,
945,867,457,453,496,025,393,642,117,675,615,908,483,927,936,342,389,520,758,
326,856,840,401,944,785,392,487,065,456,406,834,318,812,536,844,192,509,034,
123,307,737,533,734,617,418,725,015,391,672,034,478,626,792,732,662,662,067,
683,397,140,283,545,681,256,748,120,013,458,536,613,933,880,916,889,501,448,
470,501,345,677,378,082,556,981,224,715,816,767,468,880,458,663,616,454,008,
809,897,601,438,752,336,481,009,673,940,301,796,066,968,189,732,974,948,015,
201,255,754,965,934,967,232,566,433,165,248,513,502,747,991,572,708,245,306,
832,240,690,429,298,466,617,387,650,345,059,786,034,398,705,573,318,332,190,
659,830,779,787,510,899,665,952,856,291,247,078,800,800,658,606,489,837,873,
683,887,917,218,321,965,184,032,323,618,844,893,153,924,676,159,543,210,188,
927,397,587,972,369,795,188,063,991,369,520,688,521,339,361,091,644,444,522,
531,414,147,547,342,362,520,553,404,782,468,481,241,850,503,112,970,097,867,
698,137,780,442,279,951,481,767,869,232,737,611,993,876,558,065,770,694,658,
905,579,598,810,791,261,002,435,551,804,686,607,551,219,985,698,499,730,183,
441,584,980,692,663,703,746,564,433,226,939,233,090,689,943,318,347,355,526,
858,303,899,474,355,009,910,706,037,468,171,270,734,882,838,335,570,930,999,
239,842,194,575,739,859,358,859,597,634,949,254,891,079,502,414,511,671,780,
116,964,630,552,344,588,587,240,768,479,285,237,027,865,542,002,708,437,056,
621,415,197,455,579,588,001,842,918,553,505,657,386,805,615,870,694,190,586,
971,826,036,201,447,841,802,193,298,854,542,209,729,585,963,862,946,927,324,
836,427,566,058,349,317,189,662,485,383,771,751,470,699,733,324,799,826,256,
688,354,291,759,615,595,055,616,709,971,726,656,605,823,712,087,045,788,822,
962,004,944,931,794,953,164,857,419,950,197,150,552,155,925,000,575,005,515,
733,169,071,083,803,867,031,577,153,969,737,385,929,030,842,135,542,721,756,
946,667,391,851,490,029,489,221,453,937,361,865,200,832,768,635,000,682,795,
435,549,504,636,153,257,954,671,385,646,057,097,049,582,659,750,646,580,738,
333,508,102,560,953,609,285,876,054,185,132,261,131,719,700,623,314,573,661,
577,123,374,401,019,930,851,976,689,721,955,209,015,293,731,750,688,436,511,
551,640,623,476,766,018,802,809,017,743,325,870,992,971,403,906,072,432,533,
681,308,889,164,425,766,526,155,849,605,043,701,250,040,592,561,289,375,172,
949,688,013,804,725,854,234,566,171,667,480,202,279,676,248,368,996,464,464,
749,876,145,020,788,213,290,179,509,550,424,429,473,639,014,503,654,537,185,
499,788,882,998,325,169,988,774,445,803,499,432,244,543,042,240,295,523,891,
697,853,898,412,827,318,458,603,468,070,493,170,547,232,935,908,463,252,089,
910,437,417,056,213,514,794,037,826,991,044,271,033,159,633,709,848,288,061,
879,355,341,909,260,854,399,654,507,885,950,286,855,643,718,569,719,459,679,
679,166,353,383,240,743,421,689,339,967,689,415,508,747,993,026,133,228,139,
616,936,771,480,647,907,279,126,545,738,732,795,152,540,655,901,064,176,748,
620,064,408,963,667,881,908,924,567,994,263,186,692,188,489,971,021,928,406,
939,620,559,597,180,957,424,840,445,130,837,826,764,359,150,971,469,243,438,
868,688,691,461,919,597,617,321,241,596,728,108,944,414,023,306,817,056,602,
427,073,090,965,002,853,714,101,568,290,104,081,139,012,598,226,486,653,408,
586,056,197,016,809,843,777,729,496,573,914,786,834,537,093,627,441,608,436,
367,088,254,078,457,637,713,516,934,475,857,177,231,679,076,652,594,720,026,
520,066,093,832,071,471,809,889,169,629,341,082,037,330,534,296,698,462,817,
574,345,174,747,268,175,508,790,830,742,615,003,163,612,340,479,998,607,021,
863,837,539,834,083,181,411,167,873,426,252,760,316,638,832,096,477,919,141,
870,326,207,133,838,599,690,879,876,271,322,911,694,321,260,808,661,286,484,
378,507,879,559,553,523,466,727,073,742,032,788,656,561,926,295,065,367,629,
782,726,242,773,205,512,532,940,554,863,404,618,595,840,264,515,637,782,562,
702,304,651,729,504,868,744,101,382,887,288,916,480,008,450,029,959,615,920,
443,828,655,181,008,538,907,539,205,685,193,259,578,588,860,142,571,262,733,
137,016,519,829,164,771,721,509,286,068,490,070,376,608,833,062,462,734,700,
242,148,180,280,923,859,502,481,399,510,041,068,483,511,710,127,915,790,453,
829,920,875,465,490,951,762,989,585,063,987,979,957,195,465,125,799,083,383,
894,704,495,603,660,847,575,070,018,910,993,060,667,303,681,626,338,982,441,
591,670,772,279,429,156,672,325,009,898,175,978,519,782,652,367,895,064,396,
152,746,155,157,927,594,645,555,997,145,950,773,227,489,499,408,483,716,774,
534,966,988,514,856,189,065,067,988,917,834,748,551,339,311,727,521,039,539,
821,760,609,784,521,754,957,910,242,556,082,118,081,013,784,172,618,723,297,
959,964,349,657,383,002,012,478,935,220,936,847,910,939,482,559,321,537,909,
928,037,940,543,583,851,324,553,817,987,302,312,511,754,638,939,433,208,294,
312,659,107,138,879,417,397,514,604,647,068,567,881,151,546,438,429,503,197,
158,814,371,006,674,022,772,153,319,531,315,949,958,857,622,974,933,249,528,
122,667,616,419,910,826,845,573,025,129,982,051,447,339,067,949,818,282,925,
048,543,849,628,931,958,755,153,325,320,488,036,927,505,051,197,498,681,908,
721,113,783,185,015,283,521,178,533,828,146,149,679,323,117,492,779,742,624,
765,481,687,945,680,289,129,159,241,616,039,541,558,354,060,753,900,000,103,
965,369,126,929,552,458,975,649,930,692,408,704,854,419,540,650,562,859,206,
017,919,773,769,355,895,703,548,214,146,727,885,683,517,259,351,499,466,430,
933,544,775,458,550,529,873,608,684,939,042,626,759,872,865,850,359,300,050,
295,153,427,533,079,701,961,550,698,209,663,440,813,416,858,932,671,157,059,
930,186,057,705,813,746,970,654,700,674,573,850,503,910,556,518,917,960,506,
727,771,406,172,148,369,834,087,273,343,230,014,090,886,186,304,963,693,328,
796,092,863,616,996,191,801,044,391,229,207,606,334,390,661,338,317,176,555,
596,062,766,310,486,160,175,206,416,005,736,535,590,779,731,977,738,108,718,
790,396,804,878,574,063,786,731,471,634,035,726,523,150,882,379,948,837,151,
243,894,764,553,958,972,154,215,338,024,696,555,559,289,132,244,038,627,147,
008,120,426,334,570,392,831,172,590,256,231,365,659,015,032,157,627,765,148,
199,449,039,288,745,087,331,019,315,093,038,447,367,667,073,693,046,346,244,
278,052,390,969,543,980,697,845,060,634,965,218,872,594,479,518,260,215,449,
756,977,245,170,882,986,208,261,486,851,829,680,672,024,385,072,703,869,340,
897,850,199,407,831,097,116,757,533,570,043,245,895,638,072,180,453,101,388,
609,261,178,852,855,917,705,634,077,987,983,703,914,013,334,429,030,300,223,
621,755,296,917,955,354,678,793,558,314,640,474,693,480,576,558,943,586,907,
586,181,349,568,626,364,561,892,648,778,675,611,981,603,906,441,996,166,400,
933,087,772,842,336,216,192,123,669,989,171,619,795,041,191,284,232,698,999,
997,996,500,112,435,089,295,241,684,715,566,338,895,169,549,711,559,910,399,
775,765,737,057,481,236,966,768,129,777,354,078,991,990,721,382,125,526,223,
483,647,807,894,436,414,127,207,932,008,816,175,808,791,688,282,510,505,892,
811,565,128,400,980,373,026,645,395,363,425,903,760,623,484,350,141,458,798,
060,433,528,164,456,231,399,494,038,277,872,921,465,222,361,636,825,200,262,
622,159,792,786,224,575,821,952,290,557,997,352,110,288,473,395,281,211,293,
119,272,204,011,686,847,468,710,898,480,566,140,856,178,391,894,933,277,092,
773,197,989,846,772,967,941,659,650,022,186,344,814,641,851,564,119,616,207,
672,571,946,513,345,590,027,208,266,085,939,399,164,288,343,828,170,901,463,
304,022,252,044,246,516,692,120,291,246,912,399,591,518,745,326,744,350,171,
754,999,412,663,843,914,249,155,924,016,568,006,438,377,730,861,693,854,210,
845,227,924,759,039,146,230,063,987,492,197,728,639,287,065,244,984,580,001,
298,629,431,324,717,943,357,184,800,425,110,783,142,423,004,936,015,065,065,
900,199,751,997,772,039,911,885,266,256,137,863,971,541,917,038,007,968,040,
623,379,094,886,054,471,428,429,608,098,503,100,684,182,953,207,024,501,345,
532,374,555,989,897,759,011,059,080,566,442,794,815,888,603,686,457,744,802,
313,976,119,249,631,170,040,066,018,723,997,517,250,624,797,355,350,595,863,
161,623,741,668,090,348,922,001,509,507,992,741,342,327,508,159,788,248,530,
870,574,772,994,049,124,711,494,945,791,166,417,881,466,028,618,205,517,848,
379,747,642,170,514,474,189,779,772,807,214,564,154,706,989,506,067,140,732,
698,566,356,548,252,940,396,973,854,447,132,818,374,450,584,182,948,362,996,
483,650,073,010,037,097,854,698,101,514,001,598,760,607,402,526,162,426,614,
175,473,786,340,649,429,938,144,414,791,642,374,635,191,388,476,724,916,314,
973,745,073,101,472,890,501,936,249,234,169,107,710,134,073,294,053,928,466,
111,891,976,224,978,975,527,591,199,685,534,130,944,306,338,470,960,335,367,
722,556,219,235,912,557,367,986,056,089,889,082,487,071,511,626,333,003,501,
727,628,662,829,316,447,500,464,609,221,219,454,166,803,507,666,678,137,175,
794,116,346,286,223,247,267,754,783,450,466,739,594,023,303,187,118,646,156,
798,115,710,355,037,633,105,869,368,445,205,243,685,145,846,956,572,259,100,
504,996,271,710,613,356,324,105,294,366,437,633,552,393,780,642,732,683,617,
871,681,786,766,998,348,488,996,494,421,226,831,055,397,444,005,619,574,893,
064,886,297,650,394,336,737,155,871,711,018,978,062,493,508,748,456,862,830,
379,386,042,739,985,829,860,498,469,694,877,216,074,860,621,282,029,843,798,
312,041,345,441,311,298,960,061,193,864,560,770,074,022,077,186,443,745,400,
452,491,723,069,516,347,349,544,205,506,720,740,465,827,488,493,578,968,096,
720,787,201,371,302,370,099,545,537,529,573,325,311,360,358,000,466,218,285,
686,350,300,561,704,855,674,188,695,200,535,264,263,815,983,153,172,577,933,
293,590,367,582,033,248,499,974,850,669,949,538,483,445,814,146,650,248,880,
849,712,467,074,625,979,717,536,504,803,874,202,922,491,007,678,545,500,200,
557,651,805,171,168,975,879,564,826,674,972,198,565,872,684,762,502,660,063,
207,899,188,761,293,973,589,215,264,739,104,629,566,234,308,758,039,872,849,
691,061,823,343,131,922,062,051,950,860,953,615,418,487,968,076,703,987,691,
293,851,362,557,711,105,947,774,990,569,989,641,940,233,763,804,302,533,237,
865,852,927,518,795,431,856,852,248,860,069,954,234,885,919,094,903,004,634,
646,494,360,060,178,464,920,009,491,064,760,937,243,508,192,694,605,513,813,
884,405,702,256,667,153,128,679,456,837,888,105,763,576,745,039,104,799,919,
351,750,645,898,216,460,372,569,187,888,414,655,771,420,996,038,267,913,147,
183,655,030,368,770,207,050,915,527,800,716,334,393,075,591,136,503,789,645,
333,216,436,982,402,880,603,526,876,338,075,019,486,268,613,254,973,917,425,
024,529,607,505,317,988,475,138,239,158,838,549,060,210,795,674,651,549,735,
718,731,010,404,559,678,237,585,432,730,687,128,313,578,947,931,558,573,486,
324,100,712,142,346,170,013,216,924,998,917,761,653,559,149,136,775,064,455,
284,598,010,001,222,681,147,578,886,262,554,438,888,047,791,590,367,308,102,
815,730,572,261,559,546,188,800,451,608,279,895,641,726,166,290,148,571,147,
629,057,002,796,326,699,097,227,451,589,752,847,596,638,454,624,827,252,466,
450,798,799,895,676,906,858,930,375,100,651,924,212,033,737,426,843,940,406,
906,376,940,965,325,303,384,013,561,559,136,320,092,450,839,945,163,749,803,
122,191,217,376,611,420,010,194,305,359,564,602,935,766,886,830,096,369,706,
478,938,960,154,781,033,015,123,164,769,473,074,794,745,101,296,930,035,846,
115,210,350,191,580,883,895,814,116,959,020,907,239,744,632,306,564,140,710,
788,266,724,243,750,528,324,917,356,141,278,639,368,347,105,986,831,066,055,
674,224,704,863,522,774,943,051,410,919,701,446,971,998,556,049,394,246,595,
884,146,815,602,377,063,017,710,693,191,726,469,983,213,907,544,801,898,312,
639,556,189,336,204,671,208,986,472,557,722,753,605,785,284,690,286,185,218,
334,540,761,500,178,601,416,175,628,631,635,111,028,840,402,624,252,070,346,
462,348,804,486,708,367,653,010,892,291,947,504,062,199,343,023,908,260,742,
692,295,126,121,819,567,876,866,427,073,446,539,820,353,277,114,267,888,735,
755,440,474,473,288,409,124,144,785,859,440,067,007,181,991,156,823,803,228,
177,954,326,393,276,970,852,827,714,713,851,751,641,311,080,124,703,635,231,
762,774,693,545,633,383,080,865,773,256,378,624,056,153,156,840,480,325,351,
714,114,658,990,485,212,737,984,796,723,922,967,364,656,700,000,124,528,251,
538,201,008,657,816,275,022,546,827,400,143,019,906,489,834,847,238,894,440,
776,525,703,153,139,236,660,300,684,808,899,056,749,870,794,807,414,864,688,
416,181,567,973,518,290,010,140,096,534,667,356,283,176,792,959,252,255,196,
481,900,595,648,850,735,206,271,069,972,859,163,821,226,152,516,056,182,633,
939,451,661,263,533,944,056,332,809,482,266,644,225,994,849,019,864,431,182,
424,482,333,556,807,677,127,803,981,996,901,529,026,419,669,653,958,582,630,
079,888,993,451,593,767,857,349,366,689,291,177,264,196,708,967,194,506,683,
811,366,458,231,366,695,647,706,916,367,539,825,396,192,216,975,886,089,987,
707,069,618,410,211,219,601,163,234,193,689,460,213,717,802,800,301,088,330,
787,500,969,781,895,755,911,537,209,746,599,691,378,606,990,338,721,277,844,
732,638,524,580,246,717,687,971,244,279,892,990,163,483,369,919,135,719,962,
157,540,156,031,127,278,772,642,167,898,186,896,220,046,659,877,558,062,859,
277,794,266,339,515,553,940,996,424,417,844,852,898,883,090,139,087,618,785,
743,871,166,606,262,547,565,825,034,972,666,647,856,180,170,328,581,016,166,
521,803,219,164,972,459,637,120,470,408,596,550,986,191,602,059,884,855,637,
695,701,510,580,647,573,364,612,387,437,627,681,405,949,732,504,608,457,397,
828,133,253,853,167,662,561,373,780,513,188,552,563,709,819,924,930,747,978,
046,282,778,835,399,772,168,609,987,518,510,074,809,089,273,593,376,225,297,
863,115,131,032,719,337,415,489,163,760,017,536,073,567,605,451,137,642,880,
334,238,556,077,732,640,130,177,037,545,902,365,615,298,052,275,617,018,953,
019,891,898,636,041,085,247,079,451,498,608,037,799,648,269,179,682,770,201,
287,311,811,722,775,761,260,704,591,770,837,291,002,138,132,151,918,618,012,
885,845,850,298,430,492,353,047,159,900,158,238,811,741,947,991,539,526,040,
951,712,911,388,779,595,943,753,304,299,646,298,910,526,202,115,360,466,718,
160,329,076,720,793,510,681,800,984,617,017,513,512,945,068,017,141,971,294,
679,944,553,838,687,854,049,686,429,978,435,098,962,380,800,302,274,225,438,
959,602,654,515,614,022,967,860,734,180,206,297,795,726,629,283,386,729,594,
282,299,357,307,693,958,859,860,467,490,255,242,485,766,428,348,017,560,462,
465,637,650,815,743,340,591,070,857,535,376,311,825,861,227,477,358,902,537,
880,417,018,172,978,171,367,724,524,122,359,442,794,702,539,811,458,620,893,
392,802,560,971,887,482,719,200,930,820,495,404,080,432,338,935,688,419,319,
675,561,456,081,796,150,502,061,364,104,180,097,519,386,781,178,843,012,690,
630,770,953,278,726,153,561,086,835,780,754,023,239,246,733,880,430,875,879,
740,561,378,945,903,570,242,281,610,975,305,371,714,045,311,495,929,510,940,
918,823,446,757,471,155,916,147,650,685,116,034,705,376,377,359,290,604,200,
976,086,748,991,605,810,266,249,865,634,191,158,258,407,750,050,169,678,741,
527,674,052,020,872,585,565,884,174,865,597,655,809,565,518,898,135,370,688,
269,594,721,009,920,856,648,773,077,771,503,561,437,023,786,954,295,563,129,
344,245,180,602,936,945,095,666,471,074,702,960,813,329,701,523,300,736,053,
784,555,505,638,563,598,214,711,845,336,695,739,927,218,880,498,518,278,643,
529,020,998,481,613,811,423,311,377,641,890,480,296,547,773,423,528,506,358,
782,997,805,503,474,189,855,721,444,539,963,436,270,356,664,473,793,801,772,
567,555,568,397,543,121,642,526,172,397,539,023,229,809,572,473,261,552,249,
125,013,139,706,951,650,578,340,543,281,135,106,818,679,544,698,208,504,881,
821,000,014,332,207,074,172,148,716,612,023,160,744,129,713,127,328,338,803,
372,918,847,802,846,987,145,426,924,891,717,363,346,149,565,943,809,730,540,
748,970,071,512,495,581,106,499,952,451,440,118,015,412,574,571,686,574,395,
293,235,307,012,268,672,796,859,482,484,154,633,097,104,900,466,958,565,419,
453,179,358,773,640,629,159,767,690,568,148,274,515,855,455,468,028,048,514,
629,281,455,254,887,895,283,855,202,156,613,051,430,361,044,487,874,470,898,
894,340,547,422,021,256,802,704,757,523,171,473,431,648,562,076,484,648,094,
203,395,930,656,255,333,658,878,007,338,101,839,074,003,256,884,680,335,126,
225,723,393,552,599,558,306,266,748,944,152,095,282,656,022,526,184,791,856,
742,066,302,813,409,611,323,862,067,717,703,752,961,949,423,492,123,341,448,
372,688,874,607,412,514,699,459,341,751,852,757,760,683,360,632,651,929,243,
531,927,039,119,893,793,408,927,173,598,951,769,276,490,384,918,182,205,603,
141,516,715,816,362,626,235,775,691,540,998,489,237,048,942,987,098,127,693,
424,860,425,624,504,348,712,596,912,752,317,220,674,921,805,471,967,155,806,
825,900,532,623,498,489,494,350,199,172,593,329,558,063,911,515,227,173,725,
104,887,824,546,005,157,376,818,298,539,116,611,842,990,723,220,202,497,219,
490,029,209,491,233,055,523,262,230,271,252,610,415,423,034,650,822,060,843,
454,010,473,765,622,062,809,899,659,783,567,397,276,698,088,083,542,218,527,
786,571,375,999,954,677,157,625,708,031,185,056,926,866,172,660,547,110,332,
158,575,861,053,208,509,857,410,858,928,005,928,406,733,464,481,922,187,837,
038,758,340,334,429,551,802,623,762,940,953,691,009,040,913,055,383,817,291,
196,000,942,729,007,322,169,554,987,379,381,905,523,013,822,150,397,357,377,
417,402,001,231,880,290,085,918,140,013,567,743,861,060,571,020,899,241,159,
225,783,783,071,356,677,870,990,153,053,818,142,562,347,691,596,467,088,437,
993,452,521,201,410,359,765,751,250,483,855,040,348,186,167,478,404,687,994,
092,409,207,771,592,740,179,353,824,382,623,803,045,517,551,337,070,767,548,
793,899,000,969,944,551,932,340,257,163,025,071,500,246,037,070,099,121,835,
651,296,610,547,045,183,798,283,055,400,693,985,454,578,568,424,290,091,609,
079,639,984,606,165,581,566,711,916,028,173,242,146,932,687,264,805,442,654,
438,055,380,330,732,843,554,531,751,129,561,031,815,695,985,658,503,394,557,
800,581,611,963,371,924,809,475,168,297,661,798,360,938,527,953,796,474,700,
089,294,884,183,491,533,920,077,272,603,525,655,114,966,010,425,865,803,900,
238,784,388,860,700,207,554,697,323,728,227,520,826,036,153,417,962,759,584,
491,859,953,972,916,390,581,857,197,429,630,717,720,271,412,619,188,449,742,
055,711,465,564,039,003,734,827,757,469,775,991,840,847,019,550,413,667,698,
668,589,755,422,089,097,975,963,708,725,961,431,006,743,798,181,571,259,086,
882,469,417,934,137,644,286,824,234,508,483,329,945,727,510,337,955,859,688,
455,374,559,290,851,158,066,548,847,214,103,200,295,591,759,287,578,218,192,
017,164,346,461,716,441,929,769,026,349,698,215,908,927,231,557,906,347,752,
122,934,463,201,903,367,522,652,951,102,177,003,579,665,102,946,905,171,750,
419,897,358,174,779,011,905,194,527,586,912,827,665,580,003,949,225,414,333,
333,462,171,352,633,912,798,196,982,713,518,779,601,998,372,353,812,478,790,
141,498,628,849,538,937,378,814,024,988,871,018,715,286,989,049,949,798,502,
285,038,790,089,294,908,476,137,417,610,391,370,819,194,053,877,001,309,957,
644,031,860,907,494,024,998,999,043,915,943,339,738,937,844,989,935,388,102,
145,251,854,568,871,767,063,118,468,286,589,463,417,267,404,848,823,282,819,
624,041,442,051,551,509,733,582,542,956,074,515,753,929,300,699,484,123,495,
965,264,890,863,728,312,156,576,515,601,203,761,922,891,186,995,874,302,454,
897,165,301,408,625,178,117,689,556,596,249,462,046,164,742,399,184,841,707,
569,371,627,258,981,433,664,570,115,516,476,681,125,963,483,134,384,813,323,
800,110,241,340,839,315,822,039,521,587,959,944,968,630,361,218,195,240,261,
979,766,072,856,086,756,777,088,596,512,013,120,689,287,031,113,360,118,274,
351,116,185,907,898,363,721,182,043,030,257,558,503,081,733,114,347,012,475,
389,636,282,031,137,688,072,680,605,334,789,786,237,333,203,492,084,494,229,
770,953,359,907,227,280,469,249,946,460,465,440,850,730,443,536,578,188,834,
181,880,639,194,339,092,558,487,590,972,903,086,483,030,322,673,019,438,503,
934,757,486,055,588,987,266,036,046,477,488,872,514,994,704,488,021,501,282,
447,927,944,433,572,786,383,532,110,849,975,456,600,127,464,861,400,353,768,
561,491,881,672,874,811,167,287,594,475,703,776,827,018,508,691,196,832,358,
797,614,120,214,537,212,888,111,184,163,508,409,250,444,150,258,989,353,218,
127,275,247,655,628,935,245,450,383,393,232,866,119,699,585,204,333,190,613,
753,104,316,429,232,224,256,609,586,755,908,822,668,824,169,288,152,010,437,
954,737,793,613,073,309,991,246,073,012,066,156,118,067,314,216,267,536,448,
286,270,426,257,208,135,268,339,151,467,777,417,650,677,570,290,389,079,987,
605,877,620,809,526,437,826,892,659,467,106,290,181,833,725,131,971,442,662,
297,894,330,560,652,864,635,565,115,726,314,255,388,173,768,791,044,087,259,
228,649,920,533,152,726,875,789,597,675,635,224,567,226,115,377,241,973,983,
818,163,789,238,032,878,027,269,740,606,767,782,698,871,441,806,252,602,710,
609,698,137,735,410,182,276,265,597,479,792,126,576,711,529,497,182,222,749,
314,677,306,380,485,644,444,250,315,530,102,729,020,944,659,722,879,634,769,
921,078,643,420,032,218,107,857,615,241,381,777,090,211,496,114,029,569,615,
095,701,324,385,905,473,589,536,362,769,044,913,795,281,302,482,543,223,026,
471,839,151,085,199,410,775,597,163,616,286,718,305,715,696,179,417,103,757,
040,086,823,098,579,321,001,754,645,572,811,852,401,357,175,453,891,336,883,
698,769,566,858,792,769,847,466,704,303,951,043,355,497,097,006,385,962,915,
066,340,665,163,331,673,969,337,327,047,636,242,931,438,590,469,506,403,878,
247,549,867,877,156,172,034,083,037,263,712,271,031,396,224,562,020,730,880,
329,160,810,632,261,701,597,012,830,089,681,210,591,212,682,360,946,991,608,
449,818,442,321,574,803,705,899,250,716,699,536,140,306,487,779,852,470,759,
354,128,211,993,963,499,453,707,270,823,752,855,448,333,472,454,766,605,215,
614,752,096,481,046,643,463,505,260,370,783,647,534,171,176,175,276,295,010,
083,445,024,443,855,892,230,437,695,408,205,223,497,455,888,961,530,600,235,
502,045,650,666,867,884,625,326,770,790,841,029,747,623,841,330,143,106,247,
801,352,500,391,224,605,429,365,213,521,966,163,739,324,683,850,360,512,795,
532,533,527,493,223,699,379,211,343,785,739,531,151,239,629,624,313,421,558,
967,480,886,028,572,081,332,377,018,730,104,018,775,476,588,059,289,035,018,
012,977,996,325,988,352,395,068,364,837,474,190,980,970,864,875,704,816,702,
975,991,072,097,518,116,305,614,681,002,076,146,922,404,358,458,771,709,433,
504,090,771,993,285,240,190,495,409,723,582,274,006,616,773,957,346,283,891,
634,492,701,365,817,191,467,155,506,484,994,491,577,055,123,559,196,705,420,
292,005,646,095,365,085,572,912,433,462,492,108,277,471,034,088,138,681,740,
088,922,649,234,218,267,253,275,658,719,115,867,030,837,985,644,649,560,505,
279,431,993,919,591,112,913,944,643,265,393,100,143,326,760,410,738,375,230,
547,443,810,883,938,105,220,025,759,847,427,351,094,506,964,445,820,886,486,
632,503,347,639,698,332,957,147,787,530,943,945,538,266,850,903,707,427,586,
807,194,061,824,138,509,305,851,257,054,124,659,099,462,012,276,535,210,185,
476,964,937,668,653,495,876,162,608,165,908,400,272,704,039,315,254,958,765,
778,207,507,923,980,909,765,998,316,056,632,464,722,746,697,444,089,770,494,
036,164,648,451,534,812,355,008,999,520,190,075,183,474,095,834,205,943,599,
155,596,362,458,765,672,421,583,554,456,337,739,033,012,653,203,423,872,047,
375,566,590,859,332,867,441,750,292,304,762,482,029,636,154,610,188,803,162,
151,349,675,487,145,133,444,407,066,210,555,622,576,257,758,782,058,976,458,
911,545,707,087,108,622,993,335,393,611,355,604,777,492,091,483,603,390,578,
703,370,897,229,525,648,276,459,925,752,913,762,465,890,176,417,559,007,137,
311,659,633,724,931,406,422,532,956,290,481,425,507,912,986,624,285,304,216,
971,467,531,945,698,177,977,023,448,356,101,566,896,035,580,284,205,802,452,
829,502,950,085,448,454,293,918,449,523,280,702,786,443,438,975,076,033,217,
367,273,980,371,919,154,209,134,744,429,879,293,842,696,267,639,712,025,859,
098,417,442,297,645,593,253,333,664,617,467,848,908,579,396,310,956,039,256,
793,373,027,600,733,860,038,946,444,504,234,928,832,916,490,594,734,530,745,
843,531,519,643,885,217,622,783,631,535,068,814,734,007,366,406,226,377,092,
954,858,702,716,487,816,228,311,527,315,379,524,314,846,174,512,126,006,042,
923,880,282,046,801,479,166,421,555,721,227,481,372,927,421,194,503,515,025,
456,298,405,183,150,017,466,477,981,577,230,116,576,141,538,436,517,604,773,
061,017,600,584,101,548,702,236,091,060,865,752,632,792,671,051,816,470,850,
452,126,709,839,426,225,278,893,574,629,088,663,288,618,700,001,470,689,102,
949,825,414,103,839,437,351,692,172,459,048,132,490,438,251,590,303,102,655,
171,696,702,822,968,662,308,882,089,513,074,986,733,874,182,188,185,219,036,
631,493,436,534,307,080,147,722,174,300,306,805,855,447,568,207,114,792,245,
096,628,666,605,317,301,618,258,844,503,069,230,117,429,429,979,779,892,386,
631,993,135,406,648,120,416,277,813,781,741,681,531,557,985,166,110,797,220,
742,416,959,537,408,717,954,701,157,695,940,817,823,877,043,265,004,895,753,
957,960,963,306,115,432,785,796,191,683,010,296,708,173,931,244,794,998,902,
073,148,341,326,083,691,230,156,479,713,816,037,593,356,866,251,640,982,895,
175,281,874,456,914,946,496,916,094,554,902,198,725,672,089,772,391,117,368,
086,069,485,674,880,408,859,873,804,785,835,165,952,766,060,066,799,865,881,
956,244,257,344,563,802,881,608,401,521,208,233,159,575,641,620,395,111,938,
598,732,894,319,388,230,059,323,220,537,715,192,634,664,765,326,778,481,452,
584,678,526,508,375,309,397,714,229,286,845,158,458,432,440,030,915,764,223,
323,629,128,511,846,995,532,274,672,474,130,789,271,750,157,022,543,734,408,
102,546,213,234,040,906,815,833,441,553,669,299,975,679,934,748,886,276,445,
004,732,068,973,418,285,014,703,066,737,283,178,540,045,391,521,750,221,851,
836,756,051,791,470,861,768,291,602,573,541,975,218,110,639,479,283,603,450,
325,143,935,437,255,203,853,882,358,963,294,620,204,494,065,664,785,224,430,
445,297,645,674,646,160,917,678,311,978,648,421,776,673,690,400,265,410,262,
957,874,050,740,185,218,065,979,325,426,714,849,751,591,128,749,335,556,017,
446,787,077,041,496,786,731,536,453,162,372,181,951,425,965,086,954,187,694,
339,413,905,149,168,665,776,129,146,553,600,472,385,833,100,824,929,635,120,
025,358,494,509,386,360,450,804,218,099,517,601,802,935,562,910,105,027,755,
948,832,179,283,987,092,330,993,548,940,314,015,389,763,241,554,353,461,600,
373,947,025,472,351,295,339,747,760,937,512,248,044,087,599,041,277,347,894,
964,549,159,856,089,252,413,132,756,264,731,922,688,730,435,906,178,785,723,
485,595,236,546,128,543,229,040,886,530,484,593,574,954,504,264,291,509,945,
630,512,899,859,642,442,786,646,099,327,251,964,418,691,654,681,005,240,598,
634,715,437,546,895,625,985,510,241,328,552,500,241,837,745,107,200,420,534,
676,852,579,686,969,012,957,763,071,763,906,943,653,267,239,519,713,566,784,
611,071,325,896,652,337,423,519,667,815,327,647,952,470,959,769,967,385,394,
577,004,951,868,967,733,747,996,928,987,278,052,116,685,199,096,771,094,743,
913,999,914,820,177,602,700,482,513,617,569,231,385,978,118,489,213,302,334,
846,068,515,864,553,163,110,652,731,067,218,695,363,421,429,432,917,865,146,
809,556,747,142,403,998,289,976,497,991,682,502,444,514,590,376,339,240,877,
558,862,699,017,542,004,853,342,447,222,570,556,372,203,447,943,648,744,049,
703,129,548,317,695,938,963,837,570,306,610,682,680,905,643,595,681,383,337,
490,161,168,023,192,220,789,822,861,025,760,051,713,272,211,734,518,160,447,
373,115,033,812,614,595,797,776,693,933,052,386,412,256,407,796,144,661,307,
854,165,783,224,207,136,136,962,505,292,708,102,216,577,323,442,355,296,083,
921,739,387,077,417,526,028,518,038,640,959,202,378,214,165,196,252,110,283,
769,834,547,747,919,111,998,444,946,918,278,987,910,517,021,328,370,182,061,
938,215,263,748,134,373,977,618,676,720,911,718,169,619,832,635,676,295,663,
091,827,079,743,900,066,430,798,700,107,345,322,972,069,905,961,008,442,232,
138,888,029,930,314,968,474,375,258,836,417,557,049,287,390,036,969,762,881,
943,170,634,198,086,374,073,074,790,024,641,613,060,745,296,680,021,700,453,
131,744,764,247,983,754,821,364,165,033,804,640,198,691,301,798,052,737,437,
296,832,890,726,774,103,903,847,658,533,237,917,758,006,489,654,423,484,097,
714,959,082,378,535,120,932,672,549,672,237,084,009,591,247,746,229,972,383,
728,352,693,938,092,765,801,262,115,388,626,050,959,324,377,387,475,946,507,
016,798,621,019,763,497,770,471,843,935,787,245,438,979,824,920,973,198,345,
503,870,237,390,292,641,094,873,432,537,727,144,164,016,280,685,493,965,943,
101,414,452,989,226,939,576,229,230,728,431,143,109,803,505,078,864,130,376,
266,885,118,729,397,291,624,606,245,615,947,075,948,670,552,600,824,028,426,
038,729,945,076,907,116,108,306,614,513,661,151,780,951,433,322,859,750,774,
407,588,305,517,427,342,270,649,411,807,658,588,369,310,437,974,272,388,854,
549,610,873,828,411,600,555,325,150,467,134,949,918,941,345,227,252,559,639,
178,256,828,225,900,261,790,698,586,536,097,311,151,764,324,812,991,672,754,
585,800,038,138,050,346,071,780,297,304,980,606,376,347,924,863,736,476,013,
438,355,156,950,370,928,249,018,437,973,377,442,933,195,075,633,824,989,348,
874,494,362,794,389,322,607,767,812,591,205,774,741,038,600,651,375,470,821,
686,341,596,109,735,769,815,735,944,354,011,382,269,726,033,474,346,731,108,
453,151,416,833,155,450,223,643,894,138,077,666,189,634,194,438,569,680,319,
876,509,055,486,469,752,628,989,966,605,022,885,334,657,051,421,356,447,215,
985,841,388,746,058,750,386,174,970,991,175,882,548,637,066,441,715,749,270,
962,288,570,383,709,369,959,739,359,069,754,868,061,430,797,854,829,669,362,
892,381,830,152,063,318,546,125,261,503,621,948,861,947,091,087,697,705,543,
771,163,640,736,506,157,081,644,469,569,655,549,024,503,840,919,377,954,354,
554,108,832,311,976,409,764,905,463,634,137,955,014,211,859,678,932,238,785,
534,934,956,193,558,207,115,121,561,971,766,182,477,229,160,967,908,978,954,
154,977,798,146,072,850,447,862,985,952,175,131,012,282,769,718,472,015,423,
859,768,136,883,695,789,032,931,474,950,266,890,019,440,026,727,233,403,412,
634,317,109,059,886,576,383,906,670,409,058,444,511,120,386,344,518,173,425,
039,573,505,224,692,965,111,542,971,357,348,476,999,490,212,699,218,573,886,
547,794,978,971,725,359,636,473,230,676,065,511,172,788,207,192,166,504,527,
571,607,789,493,781,015,783,186,570,585,377,253,118,708,466,861,249,221,712,
724,188,941,316,747,343,284,412,285,015,380,655,456,023,365,176,411,297,079,
378,914,542,796,538,680,734,606,197,989,352,320,189,583,098,151,023,789,297,
588,787,625,588,783,631,863,104,338,136,215,406,023,208,420,526,846,269,976,
781,638,971,125,730,358,893,949,761,532,194,129,410,062,969,397,143,444,891,
462,599,160,096,913,235,053,946,463,127,661,953,978,857,499,970,155,467,768,
105,525,788,877,403,255,157,273,642,758,101,607,119,979,472,352,271,294,645,
099,215,971,009,500,980,169,544,476,476,505,644,256,033,993,906,669,205,851,
120,604,560,518,569,198,422,488,279,190,176,123,354,344,695,914,977,484,271,
800,532,063,720,453,303,364,984,519,303,112,714,141,964,674,010,849,556,042,
968,293,463,449,963,656,919,329,772,379,876,416,153,987,876,713,680,375,788,
023,753,669,076,214,609,696,592,075,440,664,148,628,500,796,082,665,118,697,
720,369,770,874,733,096,279,271,318,037,005,963,918,241,545,886,294,554,861,
797,844,844,367,421,732,361,482,338,448,451,976,728,845,344,561,241,287,428,
347,423,297,457,616,716,232,341,779,859,052,830,297,521,931,563,849,682,461,
902,092,038,885,927,672,466,037,032,840,058,789,859,147,927,743,421,283,397,
431,017,656,267,425,367,376,463,872,586,116,961,159,446,490,472,466,742,072,
322,271,818,471,251,649,232,781,468,921,692,185,845,165,689,150,933,406,848,
002,506,220,051,806,533,035,709,364,881,787,686,407,360,589,824,079,255,600,
171,186,445,006,786,723,549,726,066,924,236,739,475,292,996,969,790,673,707,
823,384,685,666,076,430,039,443,533,929,239,817,780,519,555,764,222,215,087,
679,810,746,990,861,237,364,357,288,103,538,817,774,498,382,095,222,191,155,
559,389,661,654,183,973,022,598,716,035,044,048,236,717,358,237,441,960,810,
035,829,720,444,002,051,199,572,577,816,885,694,387,241,757,767,867,341,708,
775,392,056,060,820,680,640,519,602,074,251,860,766,432,004,935,031,073,758,
689,353,884,547,316,755,690,216,965,518,532,681,070,578,257,289,722,267,529,
469,420,231,211,879,657,877,145,131,442,927,722,526,861,969,259,128,816,133,
292,975,425,242,134,565,106,791,929,459,792,412,181,731,974,532,795,799,443,
382,295,824,414,732,044,512,974,740,787,924,828,803,423,045,848,766,187,940,
779,170,999,615,063,049,312,663,007,881,475,047,141,599,664,421,480,715,776,
670,418,186,272,829,772,932,896,231,867,053,201,156,879,145,136,421,273,394,
846,448,667,852,494,934,967,589,775,178,033,144,426,196,486,584,165,411,883,
683,890,131,723,840,185,099,741,996,447,687,894,614,481,738,071,361,170,282,
317,416,396,745,771,342,182,136,796,128,289,421,230,110,273,873,201,497,581,
611,262,122,806,459,420,848,111,181,819,245,373,664,326,864,417,837,005,487,
697,786,140,621,782,864,872,719,200,646,658,347,785,100,557,903,821,935,921,
584,206,363,130,005,033,098,842,478,581,107,037,121,116,289,829,399,237,750,
005,416,731,306,381,567,056,462,416,996,328,129,108,589,310,682,912,052,861,
807,724,443,918,781,536,656,236,711,403,746,039,390,348,102,311,172,018,179,
114,160,166,973,869,946,768,161,109,833,970,531,052,175,054,020,684,285,992,
687,028,935,977,125,225,080,470,235,143,483,538,898,950,087,638,334,448,179,
006,296,642,618,066,933,501,319,122,202,236,574,737,299,431,338,398,984,432,
847,538,086,341,801,071,933,337,301,424,908,856,041,173,396,700,823,291,642,
865,243,085,330,931,734,423,820,054,617,171,308,204,649,815,085,815,619,758,
099,165,507,602,402,429,768,446,254,917,651,591,843,696,827,850,119,176,415,
297,207,079,514,568,029,348,228,770,927,554,513,761,697,555,242,623,072,707,
073,776,161,574,560,021,159,667,000,802,830,587,927,253,366,032,333,954,313,
701,958,585,629,236,040,237,081,933,375,838,787,731,746,022,018,602,964,645,
018,598,125,415,043,914,972,294,133,073,907,160,965,923,447,186,042,449,093,
911,511,026,991,644,701,462,782,816,290,726,356,114,330,656,771,125,158,331,
577,872,137,493,139,035,392,685,611,582,180,360,833,498,475,730,811,603,772,
768,714,640,297,646,429,550,024,892,754,413,250,367,364,948,952,415,513,308,
479,633,435,001,763,434,713,240,441,800,975,447,508,048,947,813,287,250,406,
097,699,992,262,152,205,120,473,001,740,588,483,109,344,030,545,367,983,646,
910,302,537,380,611,864,479,258,022,486,678,498,848,355,501,025,062,560,966,
864,696,311,208,204,605,880,852,918,841,794,930,269,166,996,966,403,531,855,
770,758,984,945,769,847,804,118,696,673,062,827,349,376,868,336,116,418,179,
306,891,054,327,805,222,371,503,982,119,099,334,563,406,925,656,530,777,938,
320,800,621,436,025,862,901,756,934,998,316,712,586,529,531,007,923,097,692,
410,428,392,959,815,669,082,694,339,456,636,665,884,295,453,406,886,305,290,
908,070,352,874,577,644,304,973,714,583,237,464,493,686,200,046,036,749,832,
011,898,371,376,235,534,791,699,941,359,697,203,088,637,151,378,743,637,181,
703,653,833,028,303,384,783,576,974,465,043,767,070,478,109,718,841,548,385,
292,433,237,062,966,926,767,739,580,968,299,790,805,338,753,465,989,816,173,
945,876,651,796,347,320,131,963,061,399,741,028,615,374,236,476,850,821,755,
694,506,521,774,761,178,990,267,773,419,034,682,366,627,602,517,172,439,979,
924,591,215,646,682,594,801,972,315,342,740,836,186,187,184,207,187,566,951,
013,808,858,391,361,352,408,857,228,002,127,166,955,549,525,502,257,565,525,
576,040,244,420,306,824,352,730,233,996,637,633,622,726,024,421,814,105,457,
580,511,757,182,754,112,913,665,558,578,635,523,754,672,992,356,996,982,944,
324,779,808,337,261,050,049,781,583,988,391,430,106,776,973,800,122,554,780,
066,666,773,416,379,994,687,417,909,871,348,939,960,685,865,791,433,724,831,
557,731,365,119,547,645,636,627,261,724,021,927,389,593,152,250,638,077,282,
805,639,624,367,243,163,834,177,570,476,139,400,373,670,369,802,422,206,344,
662,074,806,632,281,769,040,611,401,211,262,425,091,122,603,156,229,466,630,
122,594,698,510,191,068,806,124,332,707,589,873,845,830,009,148,582,339,248,
463,038,248,174,904,694,310,283,497,149,016,974,352,210,833,533,787,038,160,
256,845,561,540,824,192,537,348,244,617,943,836,151,379,015,462,869,303,625,
479,835,478,477,433,970,830,587,251,260,458,682,543,097,486,376,511,144,334,
631,415,961,484,436,559,599,673,116,584,524,289,949,158,818,640,450,456,628,
573,282,048,672,402,303,208,309,531,993,407,060,462,998,048,887,935,829,699,
975,417,495,430,231,991,159,383,302,085,375,277,236,104,302,649,218,218,809,
591,150,384,444,268,256,958,053,245,335,167,097,795,480,764,259,526,526,752,
195,927,778,251,621,923,621,938,029,845,695,723,245,402,336,214,459,070,379,
440,721,116,966,515,758,365,780,653,867,334,591,762,846,620,483,894,094,743,
770,637,231,733,528,064,896,365,078,583,444,019,997,858,524,772,841,216,995,
430,737,678,441,967,701,471,891,413,428,602,397,280,533,875,222,135,527,347,
510,480,229,374,411,274,369,547,971,903,267,053,033,882,794,662,590,161,292,
201,267,521,612,997,902,962,197,540,920,288,546,033,599,363,999,732,059,526,
578,259,002,953,997,491,954,121,455,034,746,977,439,808,476,053,446,662,836,
890,046,279,145,182,323,677,300,623,769,548,232,186,846,306,452,150,994,861,
872,157,993,638,267,489,661,311,904,985,199,731,746,385,194,158,963,733,668,
822,959,425,554,264,982,884,584,057,343,417,452,220,107,126,047,686,718,685,
638,517,482,143,299,704,944,868,664,302,385,952,924,262,827,182,750,752,823,
157,707,083,416,762,294,334,737,899,949,944,564,764,543,879,802,304,206,080,
067,264,774,171,442,279,479,273,723,540,117,462,621,746,255,249,292,950,211,
179,229,612,650,065,540,836,233,593,899,870,770,047,747,623,402,603,789,239,
334,792,780,831,391,847,661,830,718,611,042,779,987,632,151,296,640,615,439,
381,406,370,731,453,572,276,404,240,241,702,667,859,705,791,642,665,093,659,
119,267,874,320,017,942,002,163,944,474,939,468,663,525,911,862,322,002,875,
383,836,611,795,358,310,042,121,372,225,783,708,791,885,281,776,749,077,139,
923,597,638,609,583,381,511,248,795,349,449,226,092,406,821,530,261,870,409,
374,555,891,340,923,097,064,296,931,167,663,201,811,343,220,966,313,442,917,
108,597,723,730,956,193,062,040,018,374,367,066,065,923,537,546,281,777,012,
956,144,323,191,384,007,157,860,769,034,535,573,655,407,942,340,866,784,740,
897,873,752,300,535,115,194,451,370,724,864,309,903,380,975,834,059,029,676,
064,249,217,521,535,098,826,055,259,369,620,644,965,215,514,483,665,150,812,
112,652,730,403,499,165,089,298,563,133,173,761,555,024,651,182,265,736,593,
844,122,272,505,908,829,899,277,007,505,735,514,553,084,596,582,463,693,967,
692,350,210,265,268,877,009,346,306,814,905,623,395,931,255,449,296,789,279,
985,060,376,235,918,595,670,125,176,599,876,958,221,443,768,660,578,491,120,
417,126,284,021,004,940,661,166,134,301,338,024,484,708,527,619,135,233,675,
247,417,515,403,189,975,823,907,449,937,790,480,877,750,302,768,819,187,815,
327,973,874,398,812,307,789,324,875,623,285,822,703,989,563,972,169,963,068,
642,578,647,655,556,811,752,922,572,526,886,132,761,598,349,213,076,146,146,
872,905,481,279,034,615,853,279,724,525,046,043,978,560,092,297,850,861,827,
618,057,094,920,687,919,721,637,127,871,169,797,652,664,720,542,983,896,611,
074,696,292,226,824,909,544,257,728,422,162,773,350,104,268,020,028,008,311,
412,376,484,295,276,955,566,299,101,391,827,090,670,945,181,006,257,468,769,
826,066,456,088,140,452,706,207,614,903,795,808,956,679,525,461,373,306,020,
567,684,246,675,832,553,078,828,624,765,864,022,805,384,653,196,765,307,860,
743,987,582,140,653,114,706,870,302,152,668,862,251,463,202,288,916,940,094,
622,538,440,652,410,642,834,881,079,746,001,859,277,467,382,703,085,817,325,
903,580,949,263,798,504,306,340,268,657,943,475,421,249,124,625,547,303,138,
596,096,156,708,521,277,115,191,741,070,373,245,868,018,856,586,450,733,228,
132,839,565,830,520,161,578,143,050,217,604,156,356,114,573,657,363,320,112,
823,792,385,849,577,938,317,491,220,906,094,729,420,787,593,934,668,016,795,
244,671,809,718,550,784,666,642,631,092,389,700,913,406,869,909,827,825,189,
777,178,345,262,081,020,572,280,172,526,802,567,349,101,375,993,394,503,542,
402,555,959,304,133,869,505,388,869,726,769,364,834,349,849,644,417,902,719,
712,506,536,705,338,479,752,956,272,036,719,267,496,745,253,497,019,487,079,
735,369,358,872,926,353,973,740,196,318,219,581,760,971,097,039,413,892,971,
260,080,283,834,383,369,575,873,928,335,522,232,033,489,531,194,676,883,078,
532,855,605,694,594,506,599,221,657,717,922,691,336,053,843,559,261,508,889,
350,251,379,281,578,949,375,220,622,396,448,849,344,187,847,009,804,696,929,
015,173,983,605,513,517,125,221,587,279,946,348,555,828,471,367,173,442,498,
099,217,883,559,043,501,619,376,859,997,828,820,696,513,501,621,401,393,706,
993,425,641,193,278,427,935,815,548,261,340,310,222,180,755,138,029,012,445,
973,110,415,912,488,808,392,957,196,580,456,344,684,907,682,337,611,618,925,
460,798,301,025,124,167,324,503,146,019,839,916,409,462,733,181,970,695,412,
751,563,342,680,095,530,414,789,311,841,540,622,079,868,314,451,452,657,123,
458,264,313,196,401,644,921,569,608,835,858,625,114,292,480,721,108,113,374,
269,156,404,922,606,477,921,459,174,825,026,440,771,370,227,350,263,964,734,
963,074,939,789,315,767,989,138,237,235,551,739,975,749,254,636,866,871,028,
530,718,213,193,426,393,232,444,530,873,249,183,150,973,923,514,756,352,299,
144,950,904,079,836,101,206,418,479,320,119,121,694,413,656,125,240,249,916,
475,283,969,719,644,239,063,342,430,122,471,869,185,256,953,538,774,530,298,
512,379,158,706,364,026,126,300,916,294,934,735,977,795,938,603,085,991,094,
071,097,927,794,777,382,384,047,685,282,024,922,608,499,814,417,252,055,265,
280,543,222,903,081,915,193,963,781,093,487,790,297,008,562,832,537,914,598,
269,228,428,586,344,356,910,848,092,961,103,868,735,264,288,926,545,987,537,
385,988,307,670,219,709,745,213,321,771,307,201,635,614,752,893,602,014,564,
393,673,176,362,667,879,699,306,077,882,574,623,653,630,243,884,219,568,966,
569,804,660,029,461,639,854,083,530,106,746,148,970,571,797,514,321,837,658,
618,619,531,717,301,462,429,658,705,567,961,982,001,814,210,701,050,764,279,
923,277,000,324,998,166,631,311,789,135,991,706,343,614,731,968,158,973,506,
005,095,717,162,161,317,836,968,528,429,290,050,367,121,194,298,193,529,257,
574,307,717,683,099,982,080,861,359,870,995,185,312,014,113,788,766,467,380,
115,643,738,945,040,392,157,705,760,939,635,697,881,049,083,414,940,868,562,
064,346,652,698,039,919,686,471,413,739,107,183,308,077,022,246,377,986,465,
036,218,512,600,345,965,457,384,274,501,156,737,317,460,596,444,224,421,317,
474,428,809,709,961,745,568,357,168,005,460,340,988,522,380,767,180,004,619,
671,237,510,941,377,504,244,366,587,171,251,046,607,565,417,960,587,246,653,
550,909,588,294,442,950,080,371,830,964,834,350,396,837,039,039,745,398,366,
134,934,321,190,129,664,634,249,929,833,887,144,790,439,311,822,582,946,514,
337,950,525,557,399,256,104,514,194,247,806,584,195,269,248,285,488,283,919,
861,073,963,905,831,180,432,764,964,794,136,211,610,006,856,693,593,035,075,
800,718,800,483,054,634,842,228,085,103,032,845,100,992,971,011,675,755,045,
374,806,522,823,820,572,151,098,712,292,680,274,790,353,561,939,843,698,106,
526,417,651,101,349,235,631,446,250,998,483,370,327,444,994,212,346,876,041,
769,265,467,232,717,362,256,831,160,037,841,091,455,011,774,856,262,504,062,
982,798,127,251,944,604,050,820,460,814,833,989,188,738,315,079,971,769,009,
928,913,456,327,444,455,367,691,857,503,418,922,571,573,373,628,337,422,109,
773,087,319,819,484,152,326,317,324,075,100,661,923,497,452,897,207,775,096,
054,230,586,810,211,420,559,071,471,819,756,862,772,967,632,472,930,078,146,
970,808,861,036,054,211,274,629,351,711,824,480,727,430,027,231,072,697,303,
168,945,541,918,932,390,322,929,018,033,001,937,222,164,999,734,072,502,863,
310,879,868,574,543,819,710,095,670,623,678,749,660,935,190,738,137,414,307,
622,921,158,464,261,149,954,664,228,360,815,815,978,087,003,611,912,633,516,
633,076,946,387,639,960,188,198,576,396,862,647,436,070,528,094,621,996,132,
336,601,430,118,834,600,112,197,229,195,245,764,006,091,959,277,317,874,369,
904,454,017,159,579,991,977,234,076,835,227,933,235,649,568,711,902,463,033,
987,689,704,383,320,303,512,132,929,561,844,261,603,105,559,557,366,075,746,
300,139,721,018,516,952,461,399,751,349,870,727,500,571,128,973,757,314,257,
651,028,146,642,705,220,691,421,057,416,524,868,447,274,280,493,439,143,209,
511,027,115,126,148,090,534,782,339,805,286,021,721,522,050,050,208,696,665,
995,841,418,817,708,356,381,226,346,278,180,888,141,927,795,634,542,946,303,
071,204,882,926,884,769,241,305,891,531,346,512,248,521,811,416,207,350,690,
964,026,927,833,963,763,552,261,568,023,584,670,914,414,864,379,285,774,313,
203,422,993,288,568,830,772,875,825,824,885,874,156,331,179,095,445,095,538,
303,633,177,738,288,644,336,164,426,965,785,027,875,914,420,561,027,929,419,
876,325,561,312,310,380,457,911,728,446,430,641,180,588,205,651,198,929,503,
880,631,358,064,803,700,241,718,512,538,026,793,806,602,178,341,950,290,219,
677,617,293,099,859,677,224,915,821,735,568,482,928,193,485,883,882,005,744,
438,296,758,645,963,823,976,575,393,674,563,671,420,513,220,032,973,362,891,
158,767,126,167,209,098,061,572,694,280,615,606,580,952,648,338,665,758,645,
043,157,464,048,370,058,086,073,268,340,863,582,840,258,332,152,665,675,084,
688,054,577,724,636,252,170,819,410,324,265,286,418,406,862,137,073,168,501,
391,185,071,224,528,685,220,681,481,560,619,993,185,200,559,892,105,779,824,
525,517,763,470,090,970,639,349,538,108,484,303,101,616,070,758,163,412,589,
862,064,504,476,790,348,413,541,533,944,535,261,308,233,034,570,301,878,840,
657,109,485,562,127,760,869,293,074,604,924,893,697,465,064,006,756,896,421,
842,204,321,561,708,829,664,297,521,282,717,757,772,836,659,872,914,554,973,
386,392,255,268,874,779,258,850,086,538,561,538,412,275,699,674,303,685,724,
371,125,289,011,870,816,880,031,641,222,943,560,619,159,697,017,738,093,011,
318,230,809,663,566,342,210,866,151,642,123,665,168,712,973,317,299,191,302,
526,119,199,366,002,349,912,107,406,706,962,494,018,298,407,828,511,778,178,
632,342,925,335,038,399,877,689,133,071,010,177,284,773,634,564,647,030,862,
735,083,885,502,486,517,954,164,803,239,672,549,766,234,731,264,630,469,333,
303,790,113,229,574,356,071,499,025,775,869,918,963,036,097,583,741,863,820,
301,706,306,595,736,957,267,488,734,594,462,865,159,488,920,301,747,483,191,
158,845,538,559,904,216,775,024,775,971,679,740,487,307,622,727,170,805,544,
120,504,608,886,513,146,222,860,486,159,451,096,660,304,640,758,852,378,775,
204,500,445,879,768,971,878,691,420,639,372,020,662,876,871,338,772,027,944,
549,511,087,763,741,126,674,083,638,325,835,230,062,002,329,326,469,139,067,
070,673,755,047,470,910,513,125,691,296,354,630,118,681,178,294,831,841,708,
153,668,207,072,599,207,317,710,306,642,020,230,744,295,235,999,018,871,180,
117,042,671,869,624,957,931,225,305,367,546,173,061,619,178,885,438,899,295,
143,687,280,432,184,042,002,032,149,968,909,900,692,250,941,017,608,589,547,
979,427,460,027,219,965,562,145,096,601,977,526,839,484,218,668,988,804,524,
320,809,424,072,520,523,220,461,556,501,792,525,419,475,798,459,899,907,160,
832,958,007,336,840,083,574,767,065,786,012,929,149,684,755,700,740,764,845,
013,546,648,677,844,692,454,244,785,096,607,383,912,125,534,768,482,414,101,
435,097,624,871,955,696,853,771,199,678,273,747,289,629,240,005,565,969,069,
806,876,425,274,287,336,076,950,014,233,393,096,770,634,634,005,756,479,844,
603,552,156,119,843,270,272,524,790,059,415,592,921,235,348,956,571,919,238,
405,250,877,049,768,974,605,648,610,061,914,328,323,814,737,909,141,103,504,
898,484,350,506,836,137,614,961,917,154,911,524,033,303,343,931,283,007,298,
940,461,564,083,822,644,309,045,647,140,607,747,063,540,724,760,101,346,012,
865,226,204,010,562,161,666,128,828,081,111,929,019,466,844,361,680,833,721,
415,336,614,781,860,035,848,716,066,142,526,100,965,268,941,055,383,470,964,
017,660,432,956,561,072,158,114,538,511,057,300,664,984,496,848,042,578,885,
572,371,861,475,907,015,423,240,227,524,038,353,847,742,394,455,809,589,873,
811,564,557,227,146,313,671,216,692,109,146,888,860,775,415,053,319,748,842,
606,610,364,236,258,327,173,334,529,592,846,891,577,095,551,311,119,691,875,
077,564,301,647,333,426,983,495,048,279,796,905,439,173,606,597,810,589,990,
795,117,822,627,178,218,126,946,465,192,276,827,827,832,225,222,409,848,201,
632,254,844,518,064,133,248,847,735,961,459,186,468,850,473,222,935,850,760,
568,456,769,503,503,883,575,499,422,666,950,179,300,448,559,377,121,029,369,
838,021,907,224,170,564,157,878,722,159,130,345,432,528,253,303,979,820,149,
338,652,057,281,290,353,250,583,654,724,886,087,760,798,829,415,197,361,187,
414,725,925,155,457,544,968,384,690,708,448,310,344,612,289,679,857,506,496,
303,785,832,351,134,012,137,080,897,589,000,979,037,517,225,840,962,155,867,
636,314,284,601,475,201,372,040,761,149,189,218,576,159,437,588,434,730,060,
444,021,448,018,193,626,668,720,212,038,225,315,870,831,005,791,894,502,487,
475,442,589,988,801,872,967,597,045,097,536,482,327,578,812,470,125,095,837,
759,076,841,234,153,693,199,948,725,946,098,571,412,847,207,051,816,174,653,
414,458,232,728,709,215,050,295,135,489,431,518,800,225,624,286,998,413,569,
889,416,490,534,667,205,781,875,578,880,641,291,169,813,023,720,213,452,991,
151,100,868,884,547,888,269,602,193,910,504,188,993,896,723,455,946,267,685,
899,273,950,015,946,129,956,413,983,499,796,730,227,299,236,122,584,574,459,
255,971,206,242,006,025,301,284,022,526,536,995,108,271,512,401,689,018,679,
798,931,263,907,193,745,529,019,310,116,465,099,792,703,567,814,347,538,900,
890,148,426,212,881,673,661,856,456,734,159,156,440,120,436,732,294,467,670,
187,631,117,202,535,032,325,637,253,923,229,858,857,346,939,379,469,070,423,
618,493,859,988,916,488,542,723,211,285,234,870,235,258,248,714,950,582,631,
681,356,532,128,665,889,153,208,592,987,555,905,058,131,249,380,128,413,398,
070,065,711,962,650,081,928,796,812,638,486,861,411,971,021,996,055,832,788,
427,683,126,239,064,189,226,407,774,785,314,633,472,006,476,410,215,736,941,
761,842,129,447,393,847,058,599,038,379,786,846,427,093,800,257,103,037,069,
857,564,456,900,424,453,375,498,158,553,307,286,635,550,423,648,499,910,051,
410,288,638,350,758,113,046,709,723,983,385,032,068,768,225,355,917,761,299,
186,286,003,246,044,895,307,321,724,726,956,089,479,180,357,852,107,303,540,
680,328,656,259,432,924,687,321,526,040,799,816,340,890,682,982,460,485,257,
498,553,664,842,013,289,561,679,937,267,877,593,329,423,674,618,363,117,032,
353,015,511,582,084,912,749,912,797,724,402,682,148,866,977,187,762,642,733,
290,671,895,317,042,808,371,540,241,963,015,852,638,909,119,675,367,395,721,
451,704,350,738,969,646,042,803,768,996,250,918,895,794,510,856,805,371,904,
796,740,869,685,619,946,741,003,026,720,921,139,121,703,522,056,724,457,930,
390,662,357,329,361,136,869,326,763,744,555,229,971,458,900,615,409,329,654,
332,831,288,083,976,536,159,748,400,744,070,053,408,263,102,295,645,592,592,
774,625,994,410,059,825,540,285,963,478,416,088,356,349,442,481,349,665,873,
101,587,795,583,465,559,233,276,764,181,711,550,150,650,959,233,566,579,847,
932,222,695,650,800,872,516,317,588,654,993,373,248,085,335,031,617,453,393,
269,364,112,732,344,845,811,085,021,386,116,581,748,467,771,173,574,832,745,
123,719,633,490,912,475,992,565,083,914,960,503,925,635,317,529,232,089,926,
492,922,017,643,835,620,046,295,359,214,045,449,175,684,284,391,571,977,740,
756,317,716,597,242,276,803,039,452,046,116,529,211,945,727,552,514,182,542,
006,868,105,625,111,094,473,438,249,234,119,988,245,053,108,503,902,397,053,
648,598,412,818,544,159,019,148,554,222,797,770,754,270,700,241,303,615,891,
881,585,712,649,792,430,569,632,409,794,508,237,693,248,109,633,170,165,330,
549,415,474,781,382,205,735,709,758,899,275,100,286,483,125,579,054,807,597,
345,829,016,506,548,120,264,916,495,023,266,534,396,825,049,564,886,235,350,
357,701,654,830,699,789,144,333,000,443,581,363,979,324,133,511,569,558,714,
703,870,096,724,458,352,186,575,784,603,952,174,574,885,934,149,780,050,001,
305,583,377,308,738,790,512,639,773,206,624,514,414,450,125,784,133,159,487,
625,263,712,884,649,986,591,457,627,475,264,202,507,954,430,674,801,909,593,
324,095,169,724,025,335,792,724,049,243,247,252,182,972,021,372,002,228,122,
649,215,285,824,714,541,332,188,626,066,007,138,906,101,711,560,123,102,204,
820,811,156,109,445,740,784,745,720,759,371,048,532,508,523,113,952,811,266,
380,456,492,031,070,509,939,423,971,796,374,479,652,405,671,239,984,306,271,
343,798,315,933,344,170,056,829,389,016,507,698,805,970,752,669,939,283,329,
185,962,676,513,311,787,508,722,349,655,766,803,857,983,032,411,016,231,439,
672,232,246,041,887,509,880,757,347,835,740,668,815,210,068,170,963,481,243,
196,583,272,569,831,416,912,403,048,589,745,497,094,442,724,429,791,802,233,
055,678,655,437,683,434,815,422,160,082,874,927,282,052,182,256,781,535,019,
041,512,070,343,122,105,101,456,763,920,764,772,780,554,132,386,154,230,389,
878,996,983,887,061,089,068,198,088,335,034,931,395,585,861,865,083,787,543,
728,809,946,402,333,960,810,944,548,741,517,992,720,208,184,820,018,341,725,
848,029,442,674,517,164,919,301,312,793,947,765,399,493,432,078,972,238,209,
403,132,338,643,914,227,888,442,051,074,441,257,907,162,877,426,044,657,596,
465,740,700,066,907,924,076,970,485,504,568,103,191,106,888,047,416,841,376,
372,988,999,479,539,710,901,820,670,584,689,699,604,926,915,856,370,739,522,
414,125,318,620,405,588,100,571,224,670,786,681,255,350,135,284,575,646,213,
814,348,426,814,017,711,474,593,143,044,269,555,518,088,822,669,491,782,713,
841,309,212,081,079,841,427,925,260,659,796,358,911,511,831,587,243,345,369,
183,989,597,710,208,478,306,078,479,895,649,067,045,223,297,815,225,639,027,
548,924,966,429,772,853,859,671,754,121,576,129,239,328,404,965,068,655,609,
092,776,175,938,930,390,143,328,068,731,410,007,305,290,421,315,605,878,431,
087,558,788,271,193,413,145,858,786,989,788,631,188,238,603,543,987,881,735,
813,726,016,917,536,772,030,700,700,246,080,614,205,563,208,806,653,060,655,
708,053,887,075,556,081,456,309,438,010,908,779,862,644,787,784,777,567,614,
251,213,186,477,598,508,686,047,544,274,268,371,796,221,153,536,089,186,303,
816,059,445,659,731,721,964,373,686,779,403,922,144,142,248,075,271,290,874,
256,177,155,160,194,128,648,093,003,092,093,085,041,836,712,759,454,397,491,
566,712,594,685,646,851,809,791,647,513,685,112,460,777,968,965,886,850,961,
732,784,750,540,690,358,034,140,390,099,590,424,054,540,309,384,711,993,669,
588,757,122,544,168,858,464,281,538,925,916,396,112,469,204,165,472,913,409,
552,626,022,675,584,906,796,222,477,589,438,627,239,637,712,577,604,397,573,
674,923,797,686,475,115,115,931,742,452,200,774,740,967,789,844,079,288,286,
873,468,119,513,409,802,171,574,986,340,946,291,402,698,471,012,000,366,198,
687,809,596,610,204,279,412,707,846,011,661,225,805,791,344,569,037,062,487,
074,584,478,034,316,390,907,154,278,355,348,885,434,748,103,372,554,488,366,
807,035,745,889,495,267,333,690,768,087,887,533,858,533,834,487,273,454,766,
614,556,158,650,926,980,873,837,137,140,997,566,642,201,170,099,768,642,672,
840,177,209,473,968,696,842,664,707,887,123,124,001,438,104,551,352,690,376,
900,410,014,018,745,326,462,722,663,439,613,452,043,398,635,944,397,458,904,
653,611,413,443,630,780,506,789,019,462,004,604,151,135,981,015,366,093,359,
211,796,775,440,535,869,685,470,915,160,699,506,759,209,863,306,183,245,872,
177,889,316,422,403,395,243,833,351,191,429,819,722,717,450,469,653,989,574,
550,385,049,753,700,757,079,181,004,272,081,462,491,444,615,078,808,409,847,
407,460,910,385,509,821,295,639,818,619,246,970,396,400,945,892,169,405,917,
531,443,747,857,931,634,455,766,187,592,572,154,955,858,284,270,019,068,968,
112,620,150,674,225,139,001,705,813,137,177,016,399,549,435,493,786,591,252,
608,994,686,145,031,163,783,098,375,038,327,323,192,179,049,842,100,811,178,
093,023,139,150,181,376,563,342,386,319,090,945,856,416,383,055,657,835,859,
635,209,700,129,125,140,625,499,531,918,632,313,892,704,069,788,815,806,806,
775,166,783,043,842,895,293,713,877,751,051,505,490,075,412,802,067,658,648,
206,158,796,980,773,945,440,242,630,935,625,046,016,490,075,026,955,786,517,
840,006,715,670,847,171,599,718,384,920,089,695,039,081,221,541,919,852,719,
529,918,426,960,962,690,209,491,858,614,284,482,356,287,413,364,989,678,626,
863,357,570,849,744,431,005,719,471,058,030,411,909,361,664,593,668,014,804,
972,925,758,255,158,783,231,500,940,724,276,699,336,449,593,535,620,482,655,
693,752,782,742,265,275,988,128,499,400,194,329,276,211,376,715,002,753,730,
066,492,684,059,696,927,679,202,496,269,222,234,160,927,119,741,303,018,768,
215,304,325,787,320,221,663,797,382,598,224,518,794,286,318,052,030,712,110,
450,487,985,432,275,779,022,940,836,973,735,570,986,282,640,222,494,542,973,
931,477,271,523,649,988,021,492,048,483,200,312,796,417,517,338,729,292,804,
741,544,830,449,043,392,192,568,101,921,960,496,231,277,695,952,294,655,576,
395,568,366,500,285,682,227,016,273,387,878,276,673,607,464,261,393,781,009,
047,857,483,835,473,026,895,846,345,648,001,194,849,279,056,819,365,401,165,
210,514,732,531,868,391,722,353,323,054,186,567,407,292,817,548,930,681,495,
198,570,714,514,755,633,360,165,293,106,648,176,972,171,524,419,431,976,280,
668,516,124,161,048,209,690,011,460,259,344,864,356,854,569,070,042,183,273,
068,109,870,422,452,184,983,806,605,472,283,425,424,969,157,036,025,830,775,
443,556,894,423,720,943,949,419,302,223,543,326,376,572,421,503,093,993,421,
931,490,211,605,997,713,421,712,277,668,787,530,207,137,427,345,297,936,165,
054,996,918,650,845,749,771,530,564,897,030,494,526,200,520,984,705,894,123,
040,775,221,687,431,313,673,295,254,074,174,571,696,602,479,499,280,323,570,
491,230,726,839,781,289,436,145,136,757,378,988,376,705,528,724,539,563,672,
487,292,794,268,444,752,250,630,530,575,535,886,615,704,032,686,604,247,028,
181,186,921,895,437,370,899,681,592,720,184,797,435,368,224,719,503,846,414,
151,546,335,537,273,216,730,209,495,113,758,919,507,122,197,612,949,881,050,
670,201,536,403,993,742,808,316,324,434,291,562,925,055,416,385,221,210,578,
370,815,465,103,690,419,526,789,819,579,352,655,747,490,116,021,954,945,357,
826,640,184,529,249,098,912,262,048,599,859,832,471,080,039,458,128,975,015,
525,400,540,199,463,068,286,766,353,851,486,293,125,280,947,758,629,413,151,
453,150,735,236,499,552,170,968,933,345,518,289,772,480,456,817,532,613,641,
065,162,802,282,264,435,611,577,976,172,858,864,991,719,312,845,941,697,676,
407,237,992,521,458,333,659,580,362,554,564,642,022,083,379,966,621,777,681,
201,207,700,926,430,399,796,931,626,867,253,315,068,647,227,291,087,293,663,
249,783,660,726,182,267,620,850,017,767,362,094,582,305,273,510,353,701,993,
966,678,709,918,020,023,065,358,843,168,082,861,877,276,325,888,909,960,898,
910,272,389,954,355,645,126,749,502,224,678,424,175,859,907,827,452,288,650,
460,021,990,184,183,028,424,709,182,219,964,812,915,481,262,059,297,739,873,
173,553,202,122,120,541,239,715,355,700,348,995,976,970,194,722,074,410,869,
226,026,798,170,750,357,720,770,279,047,162,824,328,907,965,875,232,565,113,
693,751,310,077,236,131,298,383,241,958,561,212,172,363,289,381,024,670,214,
876,142,783,987,014,292,765,437,639,730,073,412,681,218,187,769,151,167,592,
171,661,903,394,579,436,093,442,146,299,649,079,514,861,116,929,596,675,040,
496,023,238,015,920,311,555,781,793,424,891,477,777,536,304,036,342,422,039,
460,430,076,752,567,352,624,617,832,229,045,711,606,057,191,573,344,939,378,
412,424,403,533,966,405,164,718,238,639,282,605,855,417,954,046,022,328,281,
725,707,551,635,035,956,887,126,334,666,609,628,829,521,760,067,695,718,356,
264,671,027,802,417,287,223,380,563,071,057,036,926,439,825,697,082,998,352,
152,204,011,567,482,460,789,270,729,796,747,807,901,601,995,591,275,141,524,
170,550,284,017,369,557,879,673,139,873,218,703,956,955,835,997,141,008,280,
544,965,375,226,556,600,053,528,388,296,144,796,625,499,896,717,055,842,765,
295,442,954,890,204,624,579,162,611,774,175,654,271,978,690,600,814,291,079,
580,255,928,740,111,305,670,227,119,500,851,718,201,369,144,516,237,040,565,
179,752,370,265,778,613,007,446,386,973,197,606,927,847,767,835,990,143,614,
184,469,439,572,687,996,007,548,160,241,981,208,766,230,050,367,924,985,387,
789,239,394,628,308,917,301,293,967,296,018,300,402,011,791,956,542,643,279,
398,406,379,058,365,911,619,582,851,221,235,911,174,689,875,739,921,997,575,
326,134,404,821,425,594,622,481,782,630,347,423,754,732,795,768,134,072,358,
861,056,123,846,756,615,051,216,771,109,967,197,386,909,916,464,196,010,983,
598,184,987,370,829,356,663,585,556,641,332,685,208,823,376,395,151,359,895,
992,434,603,270,923,034,879,466,146,931,876,599,463,139,823,915,217,756,055,
186,506,649,528,595,199,406,255,434,527,635,124,450,131,265,745,373,316,812,
110,142,585,499,098,261,822,722,302,377,063,806,951,798,525,453,986,354,386,
263,851,197,177,409,181,832,216,571,867,050,228,361,084,494,436,629,572,734,
996,996,109,523,830,153,826,744,710,021,404,477,449,721,962,888,260,523,226,
421,466,058,233,147,460,233,777,203,772,564,891,359,463,968,163,379,119,097,
103,716,720,900,325,351,716,411,847,837,695,286,952,789,819,435,102,592,672,
741,308,112,801,986,681,986,325,577,786,512,946,301,990,542,260,960,624,345,
613,418,802,441,514,632,639,454,426,760,096,900,754,797,840,152,099,862,021,
689,616,852,657,705,283,094,697,735,178,358,272,646,030,697,871,240,662,493,
068,185,738,408,671,433,617,892,854,476,505,896,370,334,790,533,813,488,360,
621,624,745,126,840,210,135,637,500,575,016,118,752,988,843,336,276,925,432,
933,490,722,729,213,717,223,037,927,141,628,718,304,490,125,376,644,238,733,
529,327,018,314,772,659,782,989,781,368,060,401,463,798,189,152,786,980,918,
494,254,288,083,659,467,239,352,193,603,507,524,900,269,251,305,840,476,193,
293,620,447,121,633,584,767,736,418,388,770,671,074,851,887,478,330,397,558,
641,076,595,911,767,925,134,562,631,168,561,389,793,191,095,322,761,132,135,
263,030,125,992,894,157,443,087,043,413,730,600,272,170,827,919,926,818,441,
380,286,645,836,360,633,631,099,443,549,841,350,586,674,716,504,464,872,831,
238,721,722,006,912,740,894,107,981,558,030,898,505,970,659,750,666,436,070,
534,149,304,760,552,230,721,874,747,820,778,247,096,693,063,866,437,982,665,
584,051,242,150,484,197,487,057,014,285,425,396,324,973,787,259,900,730,982,
975,742,904,451,391,649,501,680,312,606,122,345,184,371,879,048,275,726,963,
212,065,559,422,003,328,022,340,163,133,270,501,313,485,675,094,426,065,773,
667,191,608,416,164,251,564,260,294,641,711,135,817,127,293,319,227,222,006,
169,593,908,322,537,330,318,938,430,710,718,902,166,679,216,274,584,286,604,
912,223,893,479,262,411,783,140,104,651,880,499,298,367,215,121,306,373,459,
939,749,747,165,164,583,682,747,638,701,485,751,344,881,021,755,169,707,100,
845,499,209,191,061,663,057,992,497,802,890,956,161,910,785,529,834,348,900,
052,141,671,665,226,495,921,315,407,886,297,417,635,885,943,167,572,891,292,
017,741,311,939,336,814,119,449,014,829,900,734,410,664,906,509,088,411,612,
945,274,158,700,068,157,001,049,639,979,873,096,631,750,339,766,437,561,393,
789,819,662,823,779,119,482,248,162,015,735,021,960,601,791,708,783,059,931,
786,029,899,094,501,918,367,210,384,605,034,570,104,433,977,263,366,517,668,
398,444,504,983,452,795,698,058,665,226,632,997,622,298,432,249,729,460,967,
496,912,957,328,100,360,282,386,559,760,932,505,564,890,857,561,131,122,559,
947,136,361,902,349,704,090,401,549,657,789,241,280,463,157,321,227,383,611,
329,177,011,561,298,650,400,389,448,035,446,388,461,642,688,682,674,571,478,
903,208,419,781,004,774,153,387,251,316,616,951,855,654,518,986,070,709,705,
856,674,125,191,013,196,605,312,920,443,595,555,080,662,964,572,683,070,651,
503,121,494,214,413,111,431,156,611,579,852,199,021,136,038,043,383,171,507,
353,260,393,904,858,099,195,982,498,990,732,005,933,375,305,299,408,097,002,
760,610,964,814,569,789,476,693,891,732,202,363,645,206,317,570,850,891,688,
587,183,096,883,855,593,665,221,338,520,959,871,580,849,147,762,820,815,810,
651,036,497,120,796,738,795,475,317,478,626,169,306,072,661,888,055,453,568,
836,256,218,800,072,984,021,820,777,558,932,200,666,089,950,895,468,013,866,
944,454,533,870,549,767,270,436,518,514,823,071,504,146,643,522,697,392,845,
422,566,074,562,452,776,262,938,667,780,101,074,981,085,433,289,318,079,805,
894,198,825,548,850,752,741,732,764,938,882,849,850,834,403,185,722,823,631,
008,575,415,432,133,342,043,148,296,158,294,749,290,552,892,912,055,222,363,
589,374,027,846,681,250,699,810,762,236,532,955,307,396,874,208,416,043,420,
435,712,757,811,420,306,655,984,823,505,033,317,010,432,955,763,703,016,744,
850,617,459,079,808,118,469,534,517,102,334,513,958,643,789,235,426,655,998,
401,138,263,932,011,813,153,272,496,172,163,565,226,229,447,036,581,071,125,
032,288,471,960,049,313,319,719,954,170,472,870,370,531,856,437,462,975,269,
194,549,245,434,105,289,151,473,669,444,198,270,229,084,430,921,974,249,501,
856,802,847,692,023,709,370,658,184,108,136,966,519,007,373,046,214,062,094,
315,424,068,649,055,281,285,303,320,247,384,583,817,512,764,662,880,651,889,
248,739,597,067,759,557,252,932,750,212,260,331,008,772,968,936,000,159,674,
217,825,152,049,974,582,321,417,726,052,816,486,762,576,552,390,317,668,215,
554,803,043,607,678,979,991,770,209,657,773,163,817,792,915,112,648,163,306,
607,203,973,094,412,478,439,870,472,186,266,886,278,926,635,666,467,923,693,
398,525,570,429,291,702,228,258,875,530,251,463,412,278,756,085,202,589,821,
167,741,000,027,316,816,844,483,531,079,763,872,563,809,512,324,612,406,463,
212,483,394,275,043,150,732,213,510,161,830,429,951,255,058,003,825,234,345,
698,463,930,924,374,048,223,066,201,774,178,244,835,835,626,905,264,699,568,
186,836,648,991,670,735,148,044,984,608,329,575,604,818,694,527,203,154,355,
398,651,405,885,860,099,892,923,711,935,317,713,930,342,187,801,571,226,759,
607,089,644,423,502,653,440,335,281,747,617,073,156,659,513,597,398,234,719,
453,681,230,372,628,202,142,637,133,380,602,114,369,903,262,732,481,690,700,
478,003,476,868,919,997,747,358,848,121,916,071,496,265,391,383,083,067,637,
808,205,050,823,635,784,854,900,986,611,094,932,593,169,574,797,015,912,572,
817,279,758,957,322,025,413,566,211,289,300,905,891,270,533,079,140,947,443,
812,858,733,298,997,188,008,579,271,011,506,797,462,661,435,013,656,573,149,
763,147,027,770,339,687,914,218,598,483,128,259,889,480,428,969,429,775,516,
572,479,744,551,763,494,994,273,353,926,562,083,905,092,788,767,217,061,770,
204,855,787,387,135,751,109,069,874,179,234,513,492,432,429,318,392,220,205,
616,697,374,562,914,291,796,558,687,769,809,980,137,188,749,898,807,143,527,
111,407,336,806,842,992,195,240,098,938,794,132,388,188,018,850,836,960,803,
976,801,081,992,110,592,599,694,018,898,983,094,480,732,842,978,721,373,650,
443,017,011,343,028,286,806,360,578,954,008,568,599,928,935,747,610,847,653,
943,762,592,718,215,020,483,198,099,804,756,855,596,590,554,145,377,778,123,
075,149,479,566,573,879,635,513,640,524,094,722,664,105,139,476,393,035,525,
562,066,793,869,784,110,452,808,420,692,810,761,407,892,267,211,142,714,538,
160,820,869,740,363,481,143,424,547,785,842,051,513,617,827,432,061,800,954,
710,413,871,944,524,130,315,871,050,193,343,461,546,650,514,195,132,742,192,
252,338,919,350,731,562,169,792,349,821,489,148,320,811,638,727,778,845,797,
581,142,273,991,076,672,860,588,423,580,123,178,351,083,473,546,023,254,308,
325,199,632,789,605,935,729,825,727,062,992,235,988,232,511,195,266,507,090,
581,050,892,388,082,664,673,745,678,784,861,144,130,320,644,010,171,568,589,
919,571,992,802,087,943,241,330,147,121,268,093,892,122,417,456,116,375,437,
834,789,816,223,727,433,953,487,003,373,057,414,070,827,783,903,703,780,401,
264,126,988,863,306,258,144,486,688,822,883,680,232,799,576,652,083,628,500,
082,220,826,752,029,243,083,669,524,137,244,209,002,938,215,915,844,033,229,
502,018,436,088,177,854,896,647,734,938,962,883,193,296,006,545,287,343,737,
947,301,251,640,764,233,336,056,787,399,154,297,365,365,900,443,264,906,516,
519,705,219,151,512,996,416,866,742,582,452,267,551,197,992,749,695,883,129,
714,679,421,065,044,858,710,677,620,084,455,153,696,048,838,005,057,583,313,
608,185,201,682,495,233,645,327,712,818,103,984,675,726,250,983,655,758,161,
308,046,839,455,235,650,578,383,290,755,586,060,597,857,343,173,404,639,783,
726,081,400,540,671,656,819,820,097,871,705,671,139,490,020,955,229,683,512,
555,688,023,634,717,756,204,621,165,610,969,342,639,614,204,212,826,426,094,
762,778,414,907,343,566,578,023,771,980,740,608,447,486,261,318,652,382,759,
624,240,739,587,214,427,669,327,016,061,689,202,688,809,731,902,546,473,662,
448,837,625,174,380,806,407,202,725,254,424,121,221,353,590,152,458,853,274,
885,684,453,871,107,252,119,624,593,789,951,295,749,983,523,969,289,295,924,
037,536,796,898,943,023,202,808,983,969,236,839,171,459,637,916,625,206,091,
880,571,844,528,168,413,974,942,249,080,466,118,745,891,478,510,455,111,625,
364,994,550,600,371,731,525,651,385,754,090,112,299,020,611,421,707,212,992,
588,487,927,238,722,451,731,018,475,693,697,378,720,806,647,140,075,655,114,
792,340,718,735,674,227,582,006,666,296,631,240,989,409,703,019,380,706,648,
171,688,646,168,752,609,648,148,009,665,763,685,604,906,854,312,965,561,474,
576,214,010,942,323,152,252,009,506,428,317,560,963,160,024,957,484,364,307,
250,998,927,434,031,963,698,201,036,446,801,919,782,459,509,231,359,334,239,
576,423,183,296,308,391,703,549,131,740,301,774,884,375,977,178,181,562,129,
153,708,393,703,755,753,231,663,136,144,818,540,400,116,177,502,885,388,836,
835,123,747,361,539,157,799,172,258,766,185,210,951,828,266,288,975,392,305,
882,955,895,251,547,758,313,827,052,210,005,892,766,372,800,193,122,660,470,
840,129,986,834,104,074,001,727,917,822,570,731,452,715,643,308,524,820,186,
117,974,820,372,221,965,828,364,898,506,350,523,334,119,631,965,367,939,325,
346,787,959,544,220,714,439,109,152,028,402,511,619,007,250,225,996,027,821,
290,061,991,054,426,599,671,055,089,395,406,057,653,666,493,000,727,497,861,
317,776,319,634,901,461,125,445,356,612,691,271,581,337,407,715,166,055,092,
549,610,313,552,203,379,809,035,921,574,746,570,149,016,867,428,180,975,366,
933,570,626,854,660,875,507,558,857,796,966,113,762,619,705,396,169,960,288,
219,364,199,695,324,366,610,939,824,412,124,599,011,446,867,853,476,778,915,
303,627,881,263,891,582,873,444,543,184,023,048,922,465,099,446,236,348,720,
857,995,240,006,008,719,122,174,787,793,675,134,288,604,254,468,087,856,885,
456,626,581,691,754,912,246,893,239,177,547,666,483,370,936,708,501,114,087,
653,363,124,492,251,538,168,005,932,631,289,985,833,936,483,693,712,324,986,
568,425,166,568,220,190,968,094,990,745,952,107,322,485,212,472,506,394,831,
098,273,178,708,957,369,766,366,906,956,442,772,882,687,481,932,549,306,804,
100,331,258,136,648,457,329,768,013,877,033,218,628,328,198,242,537,612,995,
882,060,014,370,147,187,711,954,925,488,779,803,719,844,861,700,924,585,288,
252,819,429,226,565,511,570,908,973,228,135,223,983,528,034,414,673,294,524,
459,004,777,163,838,273,621,205,203,544,920,730,101,390,020,501,632,064,856,
867,490,813,379,022,502,732,979,424,664,137,284,636,174,818,719,502,780,446,
765,480,780,541,100,548,062,201,985,806,959,570,780,332,729,052,570,181,220,
749,236,047,845,369,003,280,268,395,514,738,817,736,901,476,550,227,380,303,
689,178,154,677,204,181,105,222,889,445,065,354,975,734,272,146,908,979,131,
666,590,063,424,292,269,404,727,718,573,392,435,869,122,987,190,541,110,131,
920,898,094,048,353,666,087,162,544,180,110,072,838,643,024,746,788,811,180,
915,662,817,467,542,312,615,208,429,956,776,527,608,168,071,369,936,854,093,
893,781,297,837,967,205,937,390,203,765,234,081,832,328,075,954,456,349,572,
863,832,105,550,679,996,057,263,654,359,394,936,852,339,223,087,900,357,642,
219,351,132,075,027,927,404,149,797,765,132,766,306,858,150,573,259,343,986,
349,624,336,111,625,534,136,329,235,619,798,540,345,357,249,059,455,457,702,
174,198,143,236,978,923,970,041,933,819,574,648,651,182,708,692,420,585,996,
812,978,228,500,081,932,562,840,952,550,238,798,757,732,559,292,755,893,042,
065,809,100,205,131,258,124,929,426,559,323,912,319,819,457,541,168,584,233,
223,763,003,577,267,096,700,962,831,498,051,465,689,668,137,332,446,496,651,
679,002,264,411,675,985,658,654,715,669,662,392,636,825,006,109,954,276,381,
556,943,505,200,209,289,684,369,222,033,658,897,299,624,882,268,535,900,372,
060,293,805,792,422,789,570,152,957,930,019,520,658,091,741,147,199,743,157,
010,501,903,697,520,720,287,254,356,194,569,448,390,088,742,363,598,573,924,
165,145,721,996,881,398,681,629,218,973,977,930,925,780,466,748,020,611,749,
049,109,470,104,079,133,171,441,250,598,470,799,124,135,166,400,812,058,915,
803,887,043,680,104,855,285,617,278,919,519,189,686,414,056,744,859,858,990,
307,700,173,686,595,933,736,575,538,364,576,059,560,006,153,530,919,505,436,
422,361,074,543,723,654,145,734,400,663,946,831,057,207,781,180,117,169,332,
513,556,276,630,060,936,928,474,408,877,442,209,191,104,745,478,550,969,999,
895,397,851,226,264,535,907,935,903,541,113,710,299,592,441,979,523,248,023,
036,947,166,829,015,599,511,655,224,096,162,477,400,831,103,402,168,583,015,
361,708,968,283,730,206,436,305,729,715,576,402,158,049,724,961,911,237,456,
373,346,032,757,427,846,166,296,546,004,580,168,704,965,145,931,470,359,147,
136,013,971,296,564,301,318,074,814,367,001,717,536,539,883,837,456,821,732,
444,902,531,463,802,567,876,568,384,658,879,868,864,373,853,029,851,993,934,
204,171,771,631,500,476,580,143,360,017,445,397,026,590,454,151,623,426,382,
644,013,303,994,118,167,231,293,839,876,605,096,405,953,677,709,893,165,204,
170,488,741,187,905,540,304,231,545,662,225,604,138,560,421,397,939,104,010,
745,621,656,214,176,458,975,838,336,846,096,726,045,790,333,209,355,797,570,
432,314,752,165,286,633,353,257,416,509,142,054,500,687,606,341,312,849,439,
378,303,721,449,305,332,184,231,811,097,185,298,574,126,174,199,004,208,910,
845,728,918,137,602,482,119,458,935,565,581,616,947,880,782,814,034,642,592,
992,673,088,980,398,222,445,823,031,147,596,962,965,331,579,617,518,249,819,
475,198,214,293,209,329,281,127,320,050,524,363,172,572,588,273,499,466,537,
772,315,984,970,756,889,209,993,290,288,744,851,311,441,088,013,152,061,290,
057,810,443,314,325,465,595,902,828,301,701,646,380,990,561,051,188,096,699,
575,585,889,766,244,490,020,645,959,775,161,067,331,666,317,340,749,063,132,
699,051,944,910,273,149,637,316,810,263,123,721,116,463,091,881,897,207,269,
435,012,260,587,646,246,810,537,639,991,977,042,585,097,109,338,715,394,301,
460,553,507,564,174,217,235,161,677,582,400,475,856,216,523,645,977,388,593,
629,183,365,076,148,973,400,317,278,689,328,682,185,928,824,289,469,192,340,
455,805,142,546,480,816,436,755,632,335,821,082,101,080,221,773,765,862,779,
983,217,777,630,977,475,471,129,598,183,593,796,050,360,399,637,183,939,951,
844,344,737,029,835,729,807,283,631,973,725,841,590,148,603,676,394,988,151,
081,399,910,704,020,917,787,420,016,981,958,400,168,958,573,869,117,243,203,
289,094,019,292,396,125,505,660,981,265,473,601,630,191,064,609,446,682,884,
115,251,936,744,278,766,576,624,092,539,519,163,808,421,704,369,815,095,118,
579,754,110,647,516,508,711,068,335,601,423,770,114,257,569,665,211,631,455,
037,630,714,447,099,173,906,471,897,818,521,975,459,228,984,529,218,551,919,
235,505,292,641,207,480,034,824,934,179,490,670,746,400,463,655,855,406,470,
911,967,242,295,482,730,810,718,584,648,180,076,327,008,812,872,509,177,823,
508,415,219,488,997,194,009,229,606,308,524,744,622,083,633,154,394,252,793,
819,305,817,396,793,511,947,502,443,474,918,965,305,243,608,687,336,355,332,
856,871,791,411,103,165,409,402,380,073,270,604,628,827,228,611,529,032,328,
585,039,205,096,048,388,993,110,202,367,763,032,794,569,726,754,231,503,459,
654,614,851,860,586,777,551,931,237,207,960,704,293,043,073,919,568,808,681,
624,093,730,166,875,773,922,678,319,816,943,978,451,845,618,494,025,341,953,
043,858,960,394,303,320,179,335,491,915,089,325,527,133,953,173,240,500,811,
332,783,407,744,300,668,978,455,538,248,819,377,997,597,606,955,315,088,117,
331,450,121,736,667,201,642,542,047,416,287,316,224,825,719,775,338,022,363,
807,208,200,388,711,484,212,141,084,877,532,660,093,542,565,988,411,248,069,
235,753,963,095,891,293,507,969,781,756,487,388,395,628,203,641,485,352,741,
498,451,902,515,815,821,964,442,557,034,186,318,357,445,601,035,548,432,092,
395,269,318,205,428,873,594,632,796,717,638,848,643,276,010,376,488,276,045,
947,577,500,155,440,828,178,340,452,749,001,884,250,313,037,050,442,878,555,
348,023,749,720,677,332,763,229,777,317,865,187,641,667,909,015,598,310,587,
180,938,622,468,919,731,430,490,999,823,667,058,700,242,510,399,144,142,954,
772,693,144,308,905,728,591,435,145,476,315,685,876,145,352,680,966,851,568,
684,534,070,431,225,317,825,929,387,027,523,031,481,841,503,683,037,879,662,
286,358,885,612,177,506,849,493,095,338,149,207,250,996,596,975,847,891,821,
407,333,003,853,829,999,857,455,338,234,502,448,611,317,238,674,311,908,546,
511,639,570,119,832,777,009,600,747,666,158,632,991,177,553,228,781,947,264,
832,303,358,719,426,739,880,533,973,122,505,701,261,156,240,047,028,453,368,
274,100,654,292,190,702,646,407,282,030,254,126,398,234,954,967,878,357,270,
963,684,198,445,478,380,055,734,218,845,760,294,479,245,584,887,755,805,876,
105,513,167,401,743,263,150,537,893,910,147,186,291,301,375,575,571,339,322,
538,754,268,400,371,375,459,639,431,486,564,718,116,287,018,897,348,039,666,
356,388,273,526,146,069,175,869,830,398,847,951,870,879,119,909,212,556,682,
401,740,778,134,164,260,465,039,013,782,996,956,051,951,925,429,950,624,626,
459,730,314,621,797,757,004,960,744,802,533,543,284,652,051,387,195,793,761,
191,788,384,546,338,620,508,495,484,295,429,198,548,370,139,117,584,767,946,
618,055,166,716,523,073,171,433,954,133,042,243,111,600,938,763,629,626,150,
625,288,657,128,096,969,167,900,278,026,554,859,359,345,880,244,059,372,259,
559,988,434,849,394,982,281,050,207,527,583,483,448,078,783,678,889,521,622,
302,421,388,915,155,988,236,013,436,513,065,362,170,362,104,442,670,943,097,
251,096,208,302,113,171,935,957,316,598,204,413,310,144,552,923,593,221,290,
132,815,031,035,205,299,650,675,493,184,047,101,064,886,467,941,403,907,216,
816,927,905,974,288,599,004,269,706,270,897,703,609,978,201,694,828,920,613,
669,020,687,029,784,980,972,140,847,168,988,998,561,789,581,616,282,146,976,
199,029,980,254,070,568,145,556,930,199,448,930,492,151,672,256,429,333,350,
593,249,489,998,253,363,787,980,866,850,602,755,855,820,901,125,666,667,829,
850,694,013,183,410,912,580,915,469,315,268,953,935,127,906,232,290,296,685,
790,320,880,334,831,816,804,904,601,129,767,272,552,560,749,025,739,134,971,
828,116,347,505,708,676,172,710,654,652,504,972,288,377,821,255,050,774,883,
379,879,648,941,420,426,467,148,935,548,961,808,710,604,943,671,655,943,586,
950,774,589,851,922,052,548,063,950,933,940,198,547,363,209,694,952,305,325,
397,127,522,141,642,387,886,616,376,371,340,081,935,915,460,724,708,609,903,
775,048,951,328,176,235,957,120,508,871,221,542,031,311,478,331,989,738,172,
546,758,247,124,390,008,559,154,857,884,053,891,702,441,793,454,843,461,129,
009,858,039,565,970,923,087,988,711,463,613,940,732,136,255,928,362,931,420,
967,106,469,234,301,107,843,304,607,326,817,674,806,677,240,887,595,427,701,
308,128,520,600,758,121,424,387,344,003,119,610,610,248,326,136,268,895,753,
146,456,698,283,725,796,283,432,573,469,347,924,494,785,058,911,544,174,328,
399,240,874,466,526,211,507,052,921,727,598,721,580,541,939,862,088,076,210,
433,064,928,759,678,595,841,994,410,349,500,334,540,210,427,209,678,425,999,
103,280,010,166,401,990,135,749,603,580,596,288,625,911,086,425,824,829,619,
258,685,823,376,570,586,129,794,826,668,554,018,651,620,711,093,259,424,754,
617,308,447,459,789,592,471,573,591,538,336,328,617,581,913,077,917,125,463,
163,879,479,942,262,609,669,540,449,618,253,999,796,713,522,327,477,429,269,
008,090,080,285,785,421,488,300,918,541,680,294,086,999,702,080,856,182,673,
644,978,896,189,917,224,576,280,719,413,004,966,152,277,601,877,498,259,943,
412,819,791,667,983,052,677,639,139,114,994,104,268,467,064,934,077,176,845,
968,841,842,848,323,108,040,474,582,290,579,833,781,728,761,430,395,149,167,
157,764,624,051,582,755,888,894,249,936,820,872,997,724,537,334,253,668,526,
445,966,249,438,044,149,735,631,728,889,388,667,484,030,451,839,114,788,379,
043,860,005,861,925,624,548,387,703,414,151,687,694,465,964,641,592,469,442,
740,537,591,588,550,198,392,607,361,669,930,722,313,761,111,674,739,070,525,
142,752,147,339,387,937,374,251,018,936,762,360,970,936,502,694,699,225,266,
100,508,750,972,068,151,906,190,907,267,346,165,561,822,577,198,134,956,602,
333,620,793,752,391,173,348,534,621,356,045,139,141,466,271,691,709,407,771,
241,142,762,462,817,654,526,413,277,123,493,238,985,106,114,131,365,189,355,
831,447,235,036,061,434,268,670,186,246,401,302,421,493,970,652,061,272,970,
302,418,685,469,143,798,611,442,214,453,556,961,214,140,196,008,038,714,834,
346,586,448,916,552,371,985,442,527,316,989,023,572,034,643,984,960,599,106,
617,464,436,461,861,737,521,288,908,208,006,070,708,631,039,200,411,402,996,
983,139,913,292,061,046,139,986,567,808,867,083,644,737,997,986,439,280,760,
582,883,919,262,895,495,609,597,961,720,535,788,162,708,595,362,788,980,444,
876,721,011,595,898,502,785,144,651,035,359,789,658,018,709,520,780,903,299,
897,367,104,497,942,495,937,013,465,355,878,010,314,357,044,175,750,300,479,
070,247,852,078,410,942,252,144,484,471,826,591,379,906,214,386,491,908,313,
618,177,410,057,210,149,444,472,787,360,498,856,506,263,825,115,281,715,637,
213,351,185,331,977,813,207,608,446,533,679,171,179,993,925,306,651,472,431,
967,475,087,229,350,891,737,026,573,896,477,219,458,831,557,196,639,831,993,
790,127,059,900,412,438,495,876,207,142,527,134,249,845,009,486,623,692,940,
312,900,673,542,223,167,713,783,050,259,424,294,430,704,266,517,247,577,755,
788,179,017,708,869,229,761,691,677,082,816,778,547,002,602,463,586,582,157,
348,113,673,159,270,347,220,429,318,952,468,657,340,926,158,943,386,613,917,
158,294,335,579,910,385,182,849,647,444,889,191,245,435,785,293,625,228,089,
244,692,477,891,457,999,279,623,963,771,170,010,812,290,241,846,803,636,061,
299,935,354,690,719,817,040,489,308,159,721,581,335,576,836,930,811,288,018,
418,847,350,605,238,195,551,484,826,227,017,268,504,525,346,793,073,882,379,
411,228,084,914,647,152,647,741,730,212,918,614,867,440,439,239,938,938,316,
090,349,485,347,904,265,592,891,143,942,178,635,791,011,162,675,719,292,648,
523,413,080,252,109,699,823,333,316,513,692,979,500,337,568,737,797,238,660,
505,099,770,474,716,086,849,432,983,171,515,054,754,513,650,070,492,985,435,
820,352,647,216,211,888,129,055,069,093,764,468,191,577,065,416,835,942,972,
838,463,378,199,389,404,775,429,172,495,751,039,506,362,501,115,878,022,471,
597,944,013,515,297,599,879,522,227,649,350,862,915,246,668,471,423,200,642,
320,808,354,920,356,888,904,881,008,617,553,826,813,229,614,075,805,570,328,
667,976,585,585,209,570,416,338,168,213,687,796,591,489,587,914,296,866,881,
042,476,793,923,303,638,509,486,284,616,362,530,780,709,635,682,822,211,529,
394,919,069,072,524,987,412,570,667,774,933,069,102,591,335,312,594,505,539,
839,899,663,060,516,463,837,942,177,807,166,782,594,953,796,222,337,343,123,
286,629,736,335,829,246,253,648,174,621,165,405,233,439,520,282,322,934,971,
320,166,875,249,466,296,400,398,464,215,970,879,347,634,970,031,648,035,644,
800,660,638,931,708,746,592,512,606,012,052,711,095,595,550,257,086,181,327,
429,297,552,455,430,108,260,734,722,676,466,991,333,633,467,570,787,601,240,
397,230,419,891,307,559,058,141,485,486,221,574,765,661,683,323,691,862,768,
271,911,155,362,276,189,512,503,731,195,026,958,939,101,699,854,675,683,222,
878,132,084,664,397,066,125,574,120,682,215,949,152,982,022,925,612,598,177,
952,414,910,182,692,807,896,339,041,063,310,540,643,847,486,222,201,931,344,
278,339,788,223,300,515,755,488,650,256,825,737,987,888,114,781,280,245,364,
632,513,911,485,798,448,942,523,442,672,753,172,275,412,356,491,654,957,849,
190,640,214,459,509,876,722,636,487,372,372,902,440,694,878,428,561,603,521,
621,254,982,103,303,245,169,483,230,477,296,732,945,092,643,167,528,588,602,
498,454,060,935,742,238,288,008,552,719,824,896,709,476,184,969,578,747,690,
469,442,255,947,854,701,979,660,034,602,302,890,119,770,563,917,683,183,979,
931,321,789,681,638,810,081,057,175,884,918,999,482,471,501,972,582,302,781,
617,653,836,374,167,126,192,688,406,804,527,442,316,517,985,329,787,165,146,
105,840,936,121,160,869,557,183,280,132,375,768,567,088,514,853,414,381,425,
998,805,793,834,736,857,914,353,503,328,881,051,359,934,398,962,507,092,329,
580,635,069,774,583,816,009,603,677,813,201,516,319,445,424,063,194,967,766,
108,871,190,379,953,654,579,825,835,512,532,230,408,535,751,776,299,755,085,
813,205,579,383,570,552,199,953,844,330,088,022,691,818,062,195,116,598,570,
162,112,102,493,562,080,899,728,789,963,912,508,636,819,845,792,233,685,050,
450,815,597,609,164,268,480,950,212,239,138,171,649,372,773,951,527,433,956,
634,928,052,048,461,191,523,376,079,683,695,722,966,441,566,483,101,360,416,
970,220,271,659,810,275,916,475,016,003,005,035,457,839,517,295,524,468,504,
261,874,910,601,164,578,929,465,379,955,365,164,577,055,604,082,804,777,551,
161,931,196,494,822,132,018,462,175,281,937,185,884,702,760,785,704,808,149,
801,263,941,165,889,392,564,201,223,904,775,951,524,726,969,449,821,081,570,
247,152,222,029,673,877,729,130,294,934,569,654,640,194,368,615,182,957,065,
709,773,000,141,476,206,517,495,268,111,870,783,159,053,814,955,173,769,943,
678,511,450,159,978,828,811,678,837,809,966,662,564,539,419,111,219,501,975,
738,046,799,762,925,490,928,722,674,202,958,182,521,418,157,432,404,339,465,
340,266,204,139,736,476,807,783,716,918,679,286,805,169,741,545,050,340,950,
705,471,272,786,371,299,340,397,266,519,211,761,327,865,490,257,621,525,252,
001,029,350,328,204,759,553,211,348,267,972,084,164,996,512,306,988,086,026,
487,430,582,909,418,951,386,925,960,177,834,300,545,786,002,073,857,212,142,
325,711,871,687,580,232,498,349,026,255,476,536,228,040,322,761,864,381,281,
614,893,958,073,523,170,362,993,258,796,574,577,522,889,990,208,108,816,864,
811,555,893,544,284,055,879,286,635,432,321,107,442,136,839,068,737,127,202,
354,734,374,741,836,404,440,277,201,149,244,660,820,377,254,339,448,406,912,
695,985,538,609,082,279,624,205,599,592,458,307,579,157,208,036,385,870,353,
940,085,147,528,407,137,920,388,999,628,274,592,608,960,703,675,778,960,579,
274,378,495,723,673,728,333,903,918,774,890,791,838,108,428,722,934,191,549,
257,898,752,276,396,000,311,899,140,766,882,400,699,952,840,464,742,741,646,
513,403,095,547,852,977,035,111,465,113,748,657,580,170,108,505,677,358,332,
051,696,215,716,844,120,236,270,245,418,524,853,067,124,471,240,614,336,851,
247,787,967,071,763,707,871,024,019,575,265,026,045,675,372,084,804,424,484,
941,003,670,244,808,297,849,671,598,435,643,965,524,138,045,617,730,715,724,
513,858,416,967,097,636,450,241,128,359,481,245,977,793,402,586,577,677,882,
639,243,809,182,499,963,125,645,525,457,670,969,258,121,345,735,787,742,226,
263,702,382,011,510,301,533,678,692,868,300,259,589,177,633,103,772,228,539,
328,865,151,935,411,872,642,352,038,790,506,020,542,555,933,537,719,035,088,
598,111,328,161,220,910,923,714,327,586,893,791,804,260,382,097,074,280,442,
678,390,245,497,975,280,779,473,200,318,927,225,381,635,989,403,832,287,102,
942,623,575,853,637,537,253,407,000,050,526,685,502,776,257,149,059,126,685,
378,712,298,206,280,915,709,979,312,614,223,371,472,261,248,206,557,172,309,
146,035,042,626,463,557,806,954,445,510,988,926,098,847,861,559,254,601,893,
244,450,836,486,875,578,360,338,588,880,132,549,683,671,212,016,084,456,803,
752,904,758,639,428,823,782,631,035,361,878,823,749,573,486,520,943,465,647,
403,895,317,205,195,357,250,338,447,523,385,279,338,851,914,390,623,575,488,
670,557,161,655,907,647,189,827,925,132,621,998,616,465,077,027,088,957,662,
059,385,703,918,340,554,033,588,821,765,145,233,979,133,312,781,878,014,116,
968,076,172,308,673,168,314,893,033,082,402,264,998,409,899,250,790,262,110,
035,959,988,776,722,643,272,332,799,689,572,162,814,602,748,644,100,392,777,
095,295,264,685,116,991,516,720,616,894,455,126,806,728,711,022,018,057,366,
359,357,914,346,409,819,762,278,341,441,453,524,416,042,564,775,261,175,182,
202,444,595,499,483,414,776,848,991,263,722,563,993,153,846,609,821,982,816,
903,207,465,052,035,937,880,527,505,547,057,918,994,873,526,724,896,475,031,
573,322,402,192,482,671,238,341,985,966,086,933,700,226,437,453,504,780,186,
742,249,490,104,862,779,634,088,257,871,892,953,225,448,145,128,317,797,415,
527,641,415,011,647,240,814,748,245,598,911,091,744,222,888,784,814,547,973,
600,262,538,024,775,316,488,052,402,439,754,072,986,450,996,361,698,937,346,
232,195,104,831,802,154,105,598,227,012,385,260,631,353,213,778,538,677,819,
291,609,589,220,970,252,580,966,024,504,149,051,968,347,498,235,102,301,402,
196,849,136,941,835,435,221,350,803,908,195,850,296,498,062,273,641,255,284,
288,020,761,609,805,771,599,218,138,164,316,347,017,992,603,177,793,434,036,
246,992,860,681,557,492,714,156,023,496,559,905,026,307,555,098,408,598,263,
048,620,118,143,770,063,142,311,405,022,954,095,797,215,100,390,593,392,721,
347,590,606,876,957,594,538,050,405,393,009,005,793,681,154,126,826,645,982,
552,157,175,036,410,460,596,186,972,437,144,573,778,491,861,349,279,524,413,
888,711,393,643,089,493,877,081,994,605,536,295,946,965,192,118,914,511,749,
252,372,248,903,328,954,750,083,286,218,166,223,037,889,872,580,728,067,164,
758,697,527,650,366,267,502,107,889,243,805,536,700,506,356,173,529,610,448,
839,033,682,875,019,095,739,386,055,510,149,314,206,294,130,838,796,779,674,
048,662,259,444,082,240,595,674,490,311,424,748,660,962,172,448,835,635,564,
630,917,968,846,497,512,423,794,691,835,261,761,010,392,243,277,874,537,963,
696,644,309,401,777,916,085,912,766,635,740,363,580,467,928,092,329,175,264,
940,593,441,452,406,954,997,585,141,199,322,811,069,242,839,927,663,549,468,
404,555,211,710,645,602,321,205,175,857,585,288,412,265,269,994,868,041,396,
417,109,184,644,139,004,936,687,046,779,527,422,516,201,773,215,326,521,644,
306,977,750,461,742,212,007,757,800,397,901,938,598,718,204,179,255,606,072,
943,453,157,121,768,298,396,484,670,802,016,214,748,031,252,863,212,333,682,
875,583,004,976,699,049,833,290,492,342,426,092,706,100,398,283,272,730,125,
318,795,726,472,399,016,685,823,231,005,498,205,324,859,780,441,351,832,082,
026,811,206,572,030,041,962,066,499,847,007,057,865,790,827,305,357,396,797,
451,665,933,733,379,759,110,882,149,878,083,366,289,578,459,016,208,612,070,
205,636,041,723,900,695,882,505,347,158,820,271,091,687,150,305,739,102,755,
721,714,309,442,795,584,856,815,302,493,178,878,737,957,625,420,259,876,734,
029,442,167,539,293,992,095,301,727,670,966,075,115,679,759,363,101,780,989,
819,407,607,120,376,112,556,995,268,411,519,079,143,758,535,813,352,717,032,
349,090,462,100,948,842,622,958,640,902,231,485,415,203,973,533,913,492,054,
473,768,432,703,927,246,588,868,841,663,469,044,124,132,894,932,411,909,943,
815,454,300,256,185,615,494,569,717,924,062,255,915,140,445,464,832,569,539,
136,763,690,427,093,585,969,106,211,209,162,978,313,630,859,375,155,006,206,
983,605,078,803,433,746,926,145,497,328,251,175,732,825,122,025,522,250,899,
557,123,811,765,308,272,357,193,666,681,768,875,306,506,445,701,725,158,488,
386,746,364,819,786,257,205,438,436,101,735,270,467,147,862,439,942,706,319,
700,786,257,280,560,769,911,333,748,613,525,145,523,297,713,867,945,101,182,
171,577,616,739,862,663,451,629,810,186,522,421,458,636,458,999,455,449,643,
376,710,412,602,678,450,807,642,834,359,336,242,171,281,560,240,572,162,659,
429,823,389,419,916,925,672,922,272,580,140,891,577,432,336,377,465,032,404,
233,802,614,283,411,400,004,863,141,623,324,148,430,075,450,004,508,686,748,
908,977,851,667,177,125,104,581,713,416,738,804,508,105,906,903,081,754,324,
333,958,588,502,296,082,649,927,153,971,615,284,172,772,925,514,513,407,914,
975,304,987,080,008,620,071,545,131,373,293,717,560,158,196,147,087,525,355,
675,339,505,045,511,378,928,804,008,629,412,404,971,264,752,471,058,153,803,
592,082,911,803,983,056,325,331,105,376,598,081,188,408,216,570,816,647,569,
232,757,407,423,121,745,688,296,423,001,876,365,552,358,847,026,448,512,268,
484,064,871,286,374,936,947,654,051,062,417,466,984,159,214,035,761,062,079,
364,887,398,608,112,310,141,375,851,824,310,911,620,346,320,547,866,085,735,
166,790,490,043,268,749,442,368,862,653,877,694,874,569,091,336,246,816,438,
659,305,377,322,840,550,991,607,842,721,305,506,408,400,680,443,578,023,837,
883,001,119,911,880,755,267,768,106,885,722,741,104,600,301,810,284,925,153,
875,876,771,778,110,217,547,793,705,782,430,552,187,458,716,087,465,515,690,
917,723,820,244,043,022,661,936,658,477,465,239,368,557,750,406,249,455,422,
352,839,283,532,413,785,486,574,300,684,429,880,973,246,309,448,194,351,057,
604,418,458,768,654,077,306,739,001,257,650,052,940,657,839,279,838,016,409,
459,707,436,014,067,045,034,253,491,322,013,646,960,404,470,252,215,195,268,
659,865,860,571,049,503,869,241,929,795,252,887,867,922,889,824,185,565,476,
110,408,081,069,364,699,205,838,418,537,653,468,849,021,751,297,485,545,588,
593,665,313,412,364,630,412,792,322,611,335,383,368,747,516,007,278,577,369,
288,387,778,320,290,164,600,948,553,373,115,176,092,972,119,198,351,083,126,
914,065,351,443,039,206,426,805,860,937,900,961,744,814,599,163,343,401,998,
847,097,952,723,375,607,225,844,857,509,512,820,527,717,006,119,940,505,758,
423,266,631,606,200,459,922,846,286,573,133,580,742,240,597,874,207,722,447,
531,941,178,342,650,084,397,023,555,475,190,013,530,664,241,911,103,672,940,
984,161,785,555,332,437,302,119,954,770,282,164,288,530,020,644,489,412,138,
051,996,237,629,078,219,352,600,737,073,713,794,297,858,022,601,350,361,415,
631,492,329,921,999,872,008,126,593,256,268,398,320,223,128,127,858,379,808,
991,166,514,559,911,955,005,567,899,848,002,278,881,802,299,363,053,228,097,
182,039,283,257,242,460,284,185,501,947,503,927,919,502,399,258,965,642,919,
416,963,058,468,852,188,871,407,399,745,604,144,989,142,562,027,363,334,040,
637,527,438,429,796,504,329,285,429,878,185,994,966,775,511,550,882,166,419,
064,695,444,438,254,637,274,332,063,675,409,747,801,354,104,388,183,942,139,
986,307,930,544,047,761,570,409,152,320,084,368,907,138,253,647,003,699,090,
453,811,726,253,710,977,802,870,970,830,016,717,344,662,950,790,140,989,963,
201,332,702,468,198,808,340,767,760,209,881,459,736,142,143,648,206,401,447,
195,330,387,241,630,941,378,573,304,787,095,465,680,333,639,881,448,881,273,
976,967,806,887,380,326,348,534,234,933,098,210,339,888,186,245,769,046,497,
441,491,647,895,410,369,799,460,788,260,839,208,233,111,404,608,108,682,782,
476,810,045,739,185,141,044,826,544,064,786,921,593,216,131,494,980,908,862,
208,796,670,115,427,040,884,291,327,756,679,507,247,956,731,984,869,012,038,
512,887,717,397,829,976,593,953,897,423,946,009,815,332,260,911,229,410,252,
173,989,267,656,167,991,448,090,915,957,834,841,862,402,194,832,127,340,260,
444,236,353,031,792,410,188,551,314,700,053,731,235,571,640,309,238,587,868,
641,745,752,688,984,880,619,132,837,187,804,249,599,997,585,031,044,915,717,
318,392,382,276,744,153,062,065,249,458,196,447,304,952,713,678,758,537,085,
090,977,128,411,993,440,477,849,887,753,987,980,360,566,644,803,406,776,772,
964,801,707,878,505,214,160,881,466,909,392,147,259,665,517,497,668,795,514,
838,297,528,549,023,909,681,917,741,456,510,731,275,795,554,858,974,226,637,
919,740,476,011,264,663,304,889,863,059,779,949,392,756,451,809,783,585,760,
652,563,126,200,912,354,105,973,188,462,724,225,767,078,237,214,650,680,297,
112,384,160,996,650,903,226,390,961,829,874,509,016,744,611,846,362,098,316,
135,005,095,879,502,850,376,262,530,212,192,255,459,084,687,288,711,203,898,
111,962,078,698,801,513,274,599,525,889,142,703,258,339,484,739,227,728,763,
311,727,814,838,942,609,736,446,409,251,609,373,461,289,010,292,007,262,126,
312,137,331,192,334,669,154,763,805,933,228,480,212,544,616,451,907,236,482,
119,670,176,590,253,440,766,775,084,860,969,537,339,997,047,034,462,907,597,
309,443,655,483,781,473,686,101,144,386,447,836,831,308,320,459,754,212,962,
479,654,135,081,717,037,741,247,204,184,044,861,472,835,301,092,047,151,369,
646,796,698,852,494,717,261,947,271,546,226,439,397,866,711,707,675,463,226,
592,698,510,255,003,982,144,884,525,525,745,446,274,939,514,002,328,850,551,
447,607,948,158,396,532,247,337,501,331,001,414,561,748,456,468,311,894,497,
404,264,569,908,954,551,059,759,976,029,296,938,781,831,926,521,638,278,768,
559,838,486,780,521,794,355,314,945,031,883,433,287,652,922,200,581,179,829,
017,466,615,264,558,261,667,067,175,797,695,960,089,350,764,785,215,167,085,
869,424,134,880,495,618,502,240,419,420,716,078,462,759,930,780,918,197,954,
538,075,933,882,240,572,348,413,557,961,155,406,017,202,761,292,080,547,299,
870,500,323,504,930,479,969,903,216,953,094,935,454,215,186,799,483,069,814,
455,417,399,406,043,123,448,864,364,632,224,903,604,763,745,051,896,373,336,
577,253,400,683,533,937,299,544,661,782,732,520,501,871,496,405,733,695,486,
343,659,041,062,500,600,363,139,197,704,472,165,041,601,981,450,944,099,922,
953,713,260,946,690,827,187,968,799,489,432,126,757,837,877,242,131,741,904,
024,138,950,957,980,099,582,941,660,373,342,698,970,205,733,223,760,983,853,
444,582,332,846,077,907,369,091,527,651,852,639,965,414,342,533,892,175,752,
590,797,264,861,266,131,564,484,257,417,042,141,611,398,511,102,612,091,095,
690,535,918,797,045,180,831,000,816,369,370,856,483,360,739,345,449,489,048,
824,960,950,391,949,700,142,493,895,298,680,817,859,619,184,634,637,930,355,
892,657,188,159,921,611,347,053,734,764,998,701,268,686,550,269,260,245,007,
771,429,385,248,780,813,229,490,294,575,359,362,285,772,200,034,871,659,712,
566,819,946,572,750,170,392,014,199,371,209,394,091,766,128,262,946,454,568,
474,705,975,546,889,394,422,846,955,918,882,060,779,093,510,942,502,879,126,
966,040,566,555,279,412,145,626,837,573,784,600,376,188,093,778,408,738,118,
896,560,488,219,228,483,090,764,093,900,030,419,500,392,730,031,717,914,699,
145,040,377,692,706,972,646,716,371,903,098,268,428,614,455,532,773,414,260,
190,789,034,400,146,125,089,277,020,390,057,052,739,516,835,376,345,667,199,
130,488,121,723,077,382,003,269,628,198,414,565,416,451,858,788,229,057,987,
009,299,806,871,367,325,912,845,065,169,479,651,957,566,788,593,854,949,448,
332,606,150,092,135,045,036,285,924,132,707,257,827,129,678,404,189,688,463,
663,711,386,743,342,852,573,679,416,314,093,633,911,517,748,668,716,934,241,
428,845,665,910,110,224,586,095,959,681,935,205,786,556,971,680,878,808,288,
684,430,620,524,301,340,403,184,324,420,798,182,006,876,349,911,010,388,420,
160,321,381,239,129,690,608,998,906,033,800,789,473,847,287,714,683,941,308,
253,620,310,783,417,674,081,423,150,566,412,836,648,229,797,959,533,207,123,
354,091,643,992,310,604,721,518,037,246,272,534,960,765,529,171,621,470,656,
443,904,924,720,052,860,927,596,339,593,886,391,024,312,164,621,943,127,511,
023,059,382,581,851,807,620,318,073,059,421,850,089,899,457,879,775,234,009,
852,299,634,012,785,899,358,628,571,717,250,412,267,704,358,843,205,831,369,
912,149,761,441,941,404,645,344,412,546,893,789,380,365,537,213,036,562,513,
540,458,468,660,741,396,703,051,244,110,609,761,723,267,194,579,747,853,904,
858,974,672,599,117,336,123,570,873,778,467,868,268,806,232,147,668,989,266,
332,681,426,751,568,594,760,107,966,681,003,882,382,657,641,733,916,483,139,
945,599,657,319,814,198,963,532,536,309,459,921,150,169,152,371,415,312,004,
068,501,234,664,529,874,859,458,255,902,396,281,070,537,790,070,573,193,518,
595,013,295,440,573,923,455,624,265,613,080,921,850,777,921,449,179,023,122,
954,400,956,075,644,203,289,322,462,680,235,850,886,870,313,306,019,707,994,
607,515,282,536,706,850,552,804,833,581,824,378,569,591,149,401,695,742,348,
632,462,115,778,029,378,700,274,256,598,743,144,189,945,127,550,939,329,935,
061,290,174,397,718,215,030,339,477,392,935,717,771,108,477,974,592,137,526,
109,946,471,778,212,941,119,487,738,236,827,567,370,856,424,767,695,539,255,
052,322,286,378,914,478,472,532,269,146,165,573,694,598,820,783,948,491,236,
626,684,079,014,788,802,867,374,203,916,216,988,042,996,782,557,426,358,074,
891,053,582,260,731,335,325,913,975,718,183,906,534,153,377,933,018,707,329,
858,465,140,029,657,427,451,482,952,782,665,915,382,719,389,471,012,282,903,
673,615,753,404,374,260,958,874,359,695,900,981,138,764,903,299,647,689,972,
682,346,461,024,528,961,871,397,433,632,765,303,186,196,027,780,117,892,522,
227,115,527,028,642,779,239,688,345,178,831,070,089,824,620,005,203,625,350,
149,357,665,805,513,985,153,155,052,348,544,146,092,034,228,849,778,337,172,
782,497,857,226,715,011,049,281,201,016,399,894,684,358,036,681,864,631,941,
607,635,706,212,590,657,838,357,719,906,671,142,689,777,712,520,431,519,744,
382,250,034,873,626,694,568,885,574,171,878,067,643,022,427,521,001,753,662,
519,881,345,639,168,356,762,421,165,028,382,029,064,905,845,847,488,373,817,
985,404,629,059,269,134,144,358,856,954,982,323,757,081,400,519,569,593,823,
876,576,470,234,886,296,404,054,573,198,025,033,639,347,906,054,518,912,439,
488,032,811,401,747,527,958,147,793,521,231,404,121,740,369,638,580,883,292,
189,029,587,626,503,872,775,591,516,605,802,787,138,818,979,867,734,670,214,
434,568,502,495,469,930,887,654,117,903,880,924,951,857,531,073,885,487,459,
577,408,034,645,738,017,005,195,975,764,542,738,968,630,211,894,234,521,760,
210,913,807,556,029,366,780,240,281,178,598,544,020,753,287,869,374,937,376,
609,180,714,627,164,046,013,547,239,914,443,674,216,862,303,965,464,798,269,
737,645,830,526,332,301,610,055,187,543,898,032,004,870,682,011,958,257,642,
765,284,715,991,845,245,934,041,468,170,491,591,058,801,680,724,307,056,742,
065,492,306,227,225,099,215,341,785,720,041,266,590,345,470,386,388,970,589,
237,487,318,088,991,578,662,494,007,805,462,257,517,996,794,001,825,006,609,
999,995,267,502,919,112,912,866,334,768,842,577,651,510,630,946,593,875,542,
063,748,919,880,079,019,614,637,591,789,804,858,156,233,995,312,204,762,416,
384,216,156,972,621,690,339,872,659,294,874,771,393,347,723,769,696,148,969,
124,964,020,599,245,611,517,940,859,821,301,053,032,848,631,413,902,068,785,
221,071,024,770,519,844,725,650,390,490,079,468,425,556,932,980,897,408,907,
402,076,040,779,290,148,110,215,241,061,537,986,494,869,927,246,624,992,844,
180,240,383,647,248,495,587,773,412,852,495,038,198,137,910,835,334,735,338,
865,984,981,180,772,665,241,560,921,524,031,713,693,644,057,648,341,502,252,
933,741,754,924,526,399,654,211,635,269,423,761,151,978,575,612,847,951,792,
367,790,179,272,392,602,593,588,161,451,166,704,264,019,950,205,433,071,401,
043,592,765,070,325,733,173,632,626,219,165,923,323,888,953,050,667,816,915,
637,691,664,731,573,369,607,922,994,808,390,946,850,641,540,324,230,055,112,
976,945,091,455,439,400,415,049,759,272,955,680,209,999,284,737,877,130,906,
404,330,864,025,404,986,275,816,514,200,913,585,036,050,901,698,638,916,048,
970,713,514,028,390,660,345,763,819,791,490,588,711,314,875,267,439,679,423,
783,834,816,694,098,747,263,279,202,049,767,504,109,843,024,712,319,077,570,
186,706,384,271,234,825,341,296,806,273,630,723,492,326,740,920,372,745,042,
808,137,442,333,930,186,874,599,929,711,566,433,011,886,506,309,527,476,094,
907,332,428,508,122,365,699,964,805,615,651,641,182,186,094,335,069,889,146,
014,079,098,705,437,611,626,589,489,906,866,080,116,646,468,425,738,859,020,
137,137,736,310,198,071,778,335,849,055,581,629,618,472,715,328,301,167,641,
082,825,054,203,070,266,254,552,357,744,532,004,193,285,407,438,047,217,929,
666,421,466,371,168,731,368,971,819,689,223,561,854,974,226,820,875,083,326,
910,610,755,764,496,614,830,694,445,872,979,774,973,284,972,709,723,387,547,
523,118,402,081,759,828,499,053,482,743,723,519,133,628,835,740,116,442,907,
325,630,800,100,177,857,903,460,309,002,899,240,447,259,731,505,409,945,078,
559,425,168,855,748,186,026,331,791,745,972,004,903,057,228,659,957,506,469,
705,505,158,442,109,581,081,588,142,191,582,215,850,026,795,064,103,826,796,
109,410,608,763,870,673,221,315,119,155,354,259,169,692,381,813,739,741,538,
199,622,542,883,294,138,321,380,632,546,437,089,717,682,715,817,417,105,643,
848,446,504,832,237,532,910,633,104,894,682,585,947,005,672,853,290,417,900,
268,873,605,186,424,552,261,969,282,235,551,626,874,233,800,704,722,221,781,
227,538,169,257,477,801,793,066,944,641,343,717,925,465,578,872,023,584,119,
057,684,088,974,021,290,521,174,970,288,375,185,453,695,639,066,680,798,513,
980,952,282,836,723,851,124,633,678,750,676,126,396,963,590,035,757,224,252,
345,212,366,193,752,910,846,504,575,665,147,246,729,038,291,139,835,812,241,
326,338,399,371,870,446,391,239,400,980,940,046,478,209,646,043,672,160,093,
591,813,863,697,620,188,351,739,188,039,841,624,430,170,045,631,057,014,498,
639,115,646,700,656,907,551,635,144,441,616,557,800,462,326,428,852,467,048,
667,884,953,818,004,996,972,404,964,871,627,374,156,124,692,940,152,853,166,
181,320,971,698,684,463,127,030,201,535,584,517,556,919,576,236,649,008,200,
419,612,979,048,056,111,984,107,341,463,333,118,815,644,337,350,977,221,240,
840,195,286,428,534,277,732,623,691,014,482,755,203,291,717,760,846,324,257,
065,220,032,369,832,546,101,319,802,432,897,584,584,675,702,225,339,986,452,
353,915,331,725,508,615,976,824,805,732,419,483,259,556,992,121,917,416,709,
375,932,048,110,747,715,334,202,119,861,206,236,123,546,797,616,523,204,291,
752,773,748,362,341,818,042,227,264,031,074,616,807,306,556,515,316,237,730,
286,341,805,948,064,061,505,067,692,370,396,032,281,826,116,927,198,169,500,
850,489,549,854,321,942,970,916,806,982,907,028,407,229,510,516,144,985,641,
667,584,200,685,311,614,989,649,949,325,602,719,009,341,148,698,791,638,658,
377,516,914,089,222,044,203,353,380,077,693,189,857,655,866,806,130,494,935,
813,256,896,695,948,544,647,199,739,729,572,131,066,063,481,222,692,014,113,
943,676,466,830,470,715,906,414,337,444,114,800,132,545,529,750,398,728,880,
714,090,205,573,331,227,196,002,794,897,507,291,752,914,050,878,434,513,737,
371,684,140,413,088,474,445,559,498,675,011,872,469,477,770,396,518,912,113,
721,634,247,259,405,531,046,900,682,571,083,610,349,684,784,046,346,501,664,
677,077,725,188,107,570,889,837,199,464,832,521,880,380,532,051,939,190,232,
413,304,267,187,157,013,593,043,241,431,879,630,801,045,205,589,423,676,472,
926,490,391,450,006,268,540,903,732,545,122,428,870,873,116,354,157,257,053,
303,331,796,077,704,651,381,703,312,575,502,796,945,152,668,347,743,331,045,
963,375,445,521,518,907,365,141,850,559,408,676,239,718,308,618,959,680,146,
695,602,097,974,162,061,067,807,513,260,326,481,553,682,053,635,099,478,386,
245,610,545,593,420,508,668,466,983,403,517,866,623,387,726,745,623,838,650,
904,573,464,740,051,411,458,240,286,314,638,483,290,983,512,096,836,457,283,
879,156,213,488,793,885,193,865,397,751,680,782,492,663,930,258,086,147,747,
202,270,175,323,253,559,085,047,797,796,605,122,053,430,031,306,847,406,492,
803,639,121,633,850,736,273,712,043,490,098,763,456,903,556,866,081,353,167,
579,615,996,919,066,027,535,865,138,934,845,513,245,643,410,043,926,590,838,
259,466,896,381,507,978,446,460,945,089,009,696,925,473,049,491,363,904,250,
335,519,581,656,053,311,526,260,556,351,070,994,987,191,738,728,080,691,200,
198,346,227,682,577,563,497,374,970,377,829,971,010,842,285,304,569,936,426,
210,330,593,558,441,479,079,463,252,545,323,830,246,851,396,208,783,241,450,
938,706,770,207,961,679,845,073,290,313,880,929,000,454,306,914,286,434,906,
828,153,878,869,859,812,013,979,426,401,879,988,911,069,452,036,905,110,386,
960,836,518,504,784,554,007,156,146,088,810,656,320,335,584,479,499,412,768,
700,640,545,273,448,721,818,853,616,367,113,789,009,324,517,449,631,766,828,
533,817,517,166,272,591,403,922,942,287,657,027,308,338,878,753,137,556,075,
264,505,844,050,473,904,217,589,103,697,747,581,925,475,390,690,103,505,485,
910,638,887,809,085,565,067,471,327,624,641,544,251,962,654,164,450,195,506,
003,556,169,634,856,730,638,676,091,000,716,370,390,210,771,931,440,729,624,
095,470,715,416,809,163,313,675,020,628,438,750,164,168,884,224,161,984,804,
687,876,836,144,498,563,120,331,884,956,577,301,764,517,391,698,930,901,506,
031,397,602,993,317,014,668,295,585,712,860,795,037,462,916,980,121,696,866,
140,847,136,573,212,589,076,286,456,067,992,393,975,521,377,252,726,421,444,
471,311,163,989,355,269,007,232,304,763,931,857,609,785,406,777,248,037,795,
565,726,496,042,400,421,368,405,541,989,258,722,753,498,490,471,068,277,646,
426,646,814,311,607,329,005,746,824,505,080,276,096,981,930,495,370,486,244,
678,937,109,733,804,199,423,581,511,627,089,305,639,099,275,805,975,019,838,
277,609,781,166,238,199,852,824,257,375,504,035,263,946,508,453,492,454,075,
106,939,549,446,035,960,189,252,867,887,263,024,543,107,565,746,229,750,462,
373,252,035,111,437,760,010,518,081,982,840,402,404,457,360,488,346,327,452,
766,211,097,127,756,997,271,524,326,078,696,531,061,843,750,130,246,494,145,
901,574,222,370,626,413,851,682,189,892,011,060,471,767,433,684,045,672,461,
840,426,732,823,281,289,909,646,567,032,339,635,772,403,212,565,802,110,172,
769,976,523,498,853,856,232,644,105,924,029,078,621,207,898,116,250,418,878,
032,397,715,755,581,174,228,214,181,931,400,234,546,082,979,902,400,084,785,
661,939,355,332,664,990,986,920,719,775,946,663,364,054,887,908,666,142,327,
538,366,487,319,221,025,374,224,699,013,014,598,666,540,445,096,080,890,918,
468,920,189,030,123,250,151,308,584,824,422,092,416,636,954,519,855,306,887,
135,477,229,760,476,180,824,449,875,956,445,953,785,960,965,651,237,293,418,
268,753,960,111,508,421,368,167,690,216,423,497,474,337,777,720,504,540,519,
371,550,164,926,534,528,914,894,433,297,718,552,704,465,547,464,775,409,420,
753,608,539,721,970,567,863,937,007,458,995,512,044,075,695,780,129,141,603,
173,702,155,761,279,713,920,434,833,983,511,193,146,304,013,105,309,397,741,
251,790,821,203,942,139,559,127,145,549,822,970,717,451,550,946,579,124,081,
913,299,124,678,396,711,797,608,631,987,697,748,713,254,086,283,570,332,754,
716,991,062,580,424,185,290,665,794,396,305,849,958,541,999,503,560,999,598,
084,936,590,205,901,943,719,563,576,735,847,266,085,135,482,709,001,051,413,
982,713,322,474,361,908,336,532,695,287,376,190,403,119,178,083,769,560,206,
144,461,244,991,234,511,616,076,140,640,196,061,904,642,136,741,348,026,071,
004,659,829,320,769,109,268,510,692,062,334,940,496,126,645,341,360,785,895,
316,053,232,443,201,645,777,111,268,898,010,140,288,120,413,037,667,208,517,
441,966,940,763,640,078,392,438,200,891,958,707,075,947,330,937,455,357,472,
489,181,714,951,976,071,910,621,102,996,150,243,649,862,979,536,618,670,010,
291,509,410,918,611,940,133,319,392,747,217,326,555,183,697,926,541,558,129,
517,950,763,413,108,361,695,411,621,890,625,179,219,904,989,718,776,786,481,
401,971,616,322,928,252,324,271,795,532,068,640,641,153,088,526,669,580,907,
148,737,612,560,335,608,872,473,345,575,583,695,247,497,423,773,518,344,885,
196,024,673,170,819,670,188,779,378,657,234,830,540,131,786,425,436,968,969,
858,130,447,255,621,226,518,183,854,202,436,626,653,863,197,724,900,410,283,
491,048,815,026,048,971,679,739,873,369,930,589,253,462,572,971,607,021,681,
232,296,245,770,608,509,872,942,366,382,500,858,398,343,320,360,016,293,272,
395,826,389,392,450,437,324,448,269,379,799,960,638,407,539,212,222,788,290,
543,857,107,834,288,092,926,890,073,945,112,769,046,235,352,164,283,486,957,
578,986,167,200,317,595,620,675,013,945,613,202,020,095,741,517,893,406,451,
701,349,636,839,137,558,173,729,854,670,986,264,126,215,289,504,466,923,120,
600,769,235,658,771,403,887,735,418,401,654,289,828,257,702,627,854,912,274,
844,782,949,927,604,847,124,833,126,567,152,385,503,938,789,981,461,797,380,
423,327,374,640,560,857,132,295,184,822,801,792,384,266,857,923,544,148,060,
342,794,146,115,504,118,628,558,807,654,899,069,193,617,493,274,303,456,240,
180,454,869,382,893,609,398,492,350,828,713,047,506,152,967,710,708,979,987,
904,261,827,380,566,571,139,348,642,065,250,448,808,450,120,255,095,613,480,
298,573,421,411,273,669,334,009,422,199,262,483,490,099,764,021,012,670,981,
454,838,394,145,533,071,146,233,076,621,748,403,576,808,281,616,010,067,584,
678,265,185,614,480,179,118,338,764,526,929,762,559,954,547,446,530,443,444,
171,787,700,502,720,664,138,578,736,344,135,852,249,361,118,339,447,703,732,
346,774,318,930,101,644,203,510,597,211,147,877,126,054,070,589,923,030,595,
393,909,736,930,242,415,442,410,565,738,597,135,379,255,688,123,919,566,394,
339,703,204,027,425,598,732,524,751,617,395,388,919,072,750,603,518,646,460,
931,236,206,591,101,953,227,019,781,914,710,082,227,965,019,240,948,478,904,
776,528,962,609,854,485,536,039,548,464,176,971,931,531,761,808,312,110,369,
175,186,089,523,301,576,216,009,872,036,433,014,980,757,906,417,383,216,527,
126,501,856,120,136,581,317,241,589,508,108,467,582,602,322,668,532,913,642,
467,789,134,605,533,695,221,500,615,943,028,272,656,869,396,362,723,939,638,
066,455,580,517,395,306,658,590,919,851,034,203,682,175,950,777,111,546,895,
092,705,675,938,631,420,079,952,655,984,802,371,106,982,234,498,415,874,191,
153,105,022,935,796,244,581,759,766,251,234,915,259,061,806,293,659,725,554,
454,997,951,058,839,428,227,768,071,621,897,428,063,844,258,984,370,115,064,
149,209,677,617,332,643,526,396,931,441,300,177,051,696,639,143,645,252,444,
354,509,469,228,316,248,255,105,946,825,696,083,381,573,492,073,485,519,309,
284,867,183,429,399,609,418,053,566,038,048,991,318,815,206,506,229,691,459,
120,104,580,454,138,676,491,572,491,155,674,868,546,812,342,729,602,729,639,
320,246,945,240,828,270,582,033,332,372,835,231,759,209,351,035,419,771,584,
753,859,296,442,044,767,381,685,665,067,844,853,398,398,249,648,679,054,874,
508,329,516,146,999,821,769,114,773,483,364,530,724,658,789,078,506,376,877,
438,205,138,816,832,187,295,240,077,196,742,117,401,232,704,253,577,375,454,
552,662,960,528,652,312,907,092,985,450,615,887,227,850,240,521,125,264,842,
833,949,791,942,447,241,652,144,241,748,526,524,966,955,597,369,572,992,067,
505,989,519,194,703,664,641,033,448,595,886,519,197,348,083,411,715,332,667,
083,830,550,832,316,533,013,874,139,327,231,616,182,195,940,811,751,697,463,
677,679,758,098,744,791,328,234,430,073,776,344,983,541,426,522,412,111,632,
920,810,253,121,603,541,936,249,161,470,493,671,011,573,619,800,230,398,530,
889,407,539,598,167,456,200,706,587,598,207,451,226,273,071,827,316,848,296,
784,800,475,320,335,892,236,042,736,286,657,865,859,743,345,337,177,429,548,
247,779,727,496,747,197,953,348,638,303,063,886,717,965,833,676,238,808,011,
333,843,745,998,923,350,145,091,976,385,926,540,253,036,833,726,764,989,112,
106,462,436,939,516,139,916,599,674,215,960,416,082,003,271,939,597,349,001,
488,509,836,690,724,130,840,444,266,449,831,289,981,305,272,754,016,297,422,
207,290,297,132,415,207,086,510,369,794,059,249,620,348,550,645,945,694,474,
619,143,492,203,343,473,294,772,320,648,252,383,542,206,434,071,682,092,870,
039,264,883,610,366,216,704,266,694,619,022,235,313,545,887,387,186,537,185,
944,665,700,547,008,154,656,338,664,074,198,509,224,889,228,136,849,934,339,
421,307,368,508,086,860,705,232,524,449,232,106,766,420,112,090,903,037,153,
097,622,258,209,456,268,418,262,486,846,031,986,701,273,968,358,224,552,133,
733,656,572,102,628,302,340,845,031,888,837,930,364,362,276,438,080,644,527,
486,463,625,043,906,676,532,119,159,599,862,470,740,909,789,315,709,690,761,
215,259,019,902,846,414,274,174,314,110,187,874,550,025,603,601,564,622,156,
627,006,299,220,435,703,877,448,681,452,413,427,088,657,085,941,287,097,306,
382,035,049,803,452,564,492,585,714,110,231,986,738,944,956,282,778,219,176,
696,698,931,857,847,072,528,627,765,544,449,896,745,114,666,884,444,803,369,
430,426,696,848,051,979,996,114,899,146,078,197,457,258,570,766,795,766,486,
971,877,840,322,762,264,165,470,760,520,220,576,050,743,358,162,823,712,191,
127,265,739,096,124,281,534,966,628,842,972,506,052,283,175,639,685,296,488,
094,144,561,516,595,426,179,121,081,050,647,953,720,525,039,650,609,555,756,
230,713,296,388,728,835,533,625,342,440,454,005,628,579,513,616,704,008,014,
019,786,450,403,525,131,868,442,712,422,702,962,033,201,429,173,930,406,843,
825,173,529,140,581,557,345,756,991,435,874,905,674,955,849,775,378,506,300,
268,837,682,558,395,800,650,118,787,618,883,098,483,949,946,040,762,859,210,
855,539,977,407,474,396,255,885,358,991,826,284,913,833,063,978,044,357,943,
239,658,038,011,218,684,773,805,286,369,823,769,490,635,650,226,384,543,476,
190,923,971,876,668,294,383,692,559,747,994,467,779,131,436,730,733,407,105,
466,687,291,168,694,145,495,808,969,625,594,567,304,343,444,926,235,546,418,
080,506,296,346,618,418,441,792,592,395,721,733,801,858,904,038,944,070,935,
702,225,447,474,824,236,132,712,863,638,915,652,701,193,281,796,074,853,856,
902,599,187,894,697,001,256,180,625,438,494,727,733,284,649,415,915,780,458,
468,587,898,018,874,488,724,366,729,722,685,063,432,315,444,398,853,063,726,
055,784,425,287,292,766,309,458,392,874,536,264,058,297,530,615,668,214,528,
765,960,117,600,078,744,697,106,704,280,371,339,242,211,225,720,957,974,719,
878,772,168,676,905,435,771,962,760,381,142,663,378,330,626,981,337,002,296,
628,999,346,985,590,294,659,588,708,467,221,498,968,258,011,308,676,603,186,
743,542,990,329,408,712,592,901,393,755,760,726,195,058,641,840,230,055,237,
954,221,864,375,443,305,736,395,012,190,487,913,412,708,275,758,599,361,827,
115,974,045,488,276,006,058,112,552,195,402,895,647,966,305,130,388,263,279,
262,184,971,618,812,746,370,899,609,434,225,681,038,778,352,466,385,601,564,
638,917,699,497,419,263,315,725,758,938,222,464,150,047,044,328,040,222,112,
756,524,547,557,170,078,421,938,504,216,976,302,292,256,656,140,321,401,507,
604,859,584,632,894,276,007,568,260,184,057,953,502,463,637,391,938,800,490,
395,567,426,135,949,084,982,296,080,809,481,625,049,077,810,708,769,447,927,
183,996,271,537,258,247,749,760,069,696,771,657,812,578,661,881,860,203,722,
557,384,597,894,814,673,954,392,417,636,107,891,468,466,662,539,135,081,862,
440,790,395,372,266,759,321,293,330,778,035,822,539,283,471,467,078,998,749,
660,881,447,545,632,257,630,711,926,519,940,756,970,805,109,518,187,014,452,
121,764,884,774,946,901,380,576,510,379,039,016,622,972,116,353,909,520,571,
559,786,295,223,648,241,049,182,438,489,660,116,147,027,971,301,014,789,308,
495,344,540,077,055,672,742,785,335,289,772,037,001,984,647,482,218,858,958,
466,993,331,550,670,085,545,247,257,025,066,875,467,235,230,636,045,446,281,
023,492,638,933,027,630,883,039,988,022,342,666,404,437,593,845,528,857,307,
883,530,994,649,266,927,488,873,323,755,648,021,374,236,157,618,683,944,203,
503,073,872,216,422,115,089,924,596,914,532,073,559,883,839,301,179,748,070,
615,071,922,398,388,984,953,822,571,716,062,408,748,808,094,034,924,483,400,
049,494,951,893,797,789,613,633,979,542,081,892,011,447,257,375,404,971,409,
344,722,107,798,556,530,503,333,191,701,740,232,282,482,531,561,449,828,045,
922,652,664,627,616,864,043,047,709,645,435,323,838,386,028,611,215,749,939,
605,518,474,657,512,837,993,457,206,111,450,681,365,102,079,905,732,646,840,
974,695,477,606,362,460,478,453,855,310,701,563,557,521,954,343,595,672,252,
585,640,944,246,027,691,681,329,641,171,255,392,784,008,254,574,905,652,611,
686,765,871,313,667,822,167,899,072,611,902,351,309,540,752,919,900,741,719,
218,936,330,336,198,295,909,164,069,420,827,260,575,581,405,636,261,683,806,
264,977,425,190,117,557,926,357,789,367,004,230,660,951,299,376,259,683,681,
389,936,837,184,822,917,321,252,882,170,432,978,325,533,238,488,558,025,645,
453,992,754,844,192,119,908,422,522,434,296,168,428,705,439,662,778,716,491,
482,873,699,182,178,417,741,099,397,969,477,777,856,144,354,552,096,433,001,
959,547,177,935,894,818,425,576,269,949,458,531,157,703,904,884,096,143,599,
736,935,370,048,513,539,731,455,041,715,004,876,652,908,461,048,412,301,646,
770,369,940,943,361,369,334,643,920,702,543,651,153,138,810,249,988,329,249,
766,958,650,795,503,306,633,549,819,744,420,203,129,185,958,856,435,753,548,
782,089,798,245,183,634,436,223,404,541,741,968,251,060,307,854,099,032,060,
031,626,396,320,712,762,742,322,840,049,183,556,636,330,631,491,327,699,491,
402,407,473,880,533,087,403,863,950,107,405,467,817,135,351,549,801,774,192,
721,028,326,947,416,749,529,361,507,676,321,803,162,479,372,110,941,066,943,
513,616,638,393,131,988,605,434,414,953,948,135,953,426,061,318,221,146,207,
320,216,094,409,951,165,603,238,340,883,700,255,756,079,524,104,670,653,087,
233,982,601,423,470,205,829,842,247,320,831,956,015,327,182,940,435,677,547,
780,845,397,582,048,405,510,919,278,168,647,964,246,313,802,574,839,883,016,
397,219,793,096,574,278,926,138,990,102,420,741,494,031,107,758,402,249,925,
020,102,096,167,871,772,382,372,560,869,495,978,210,936,944,368,002,395,544,
120,250,373,932,791,266,873,650,511,072,481,271,280,793,201,075,055,067,103,
805,731,645,309,111,301,222,514,754,552,302,730,152,136,778,551,238,099,551,
017,956,152,255,072,615,602,574,852,979,884,930,259,255,783,506,483,775,978,
841,854,594,848,871,460,341,569,028,134,694,184,343,384,311,521,196,227,078,
561,603,393,851,132,443,749,576,680,233,231,878,230,135,660,214,435,189,194,
421,734,104,965,237,606,770,334,526,980,889,296,848,588,453,551,970,344,307,
314,434,996,733,163,690,983,486,697,940,666,116,609,191,024,356,039,854,538,
386,213,424,930,693,113,102,672,883,438,922,023,204,094,639,813,966,118,602,
652,595,122,862,531,049,074,205,736,008,005,184,685,095,007,015,431,630,406,
377,244,243,637,817,042,227,113,901,434,555,185,659,305,304,361,872,190,324,
490,293,296,592,376,255,871,665,181,283,800,897,221,858,788,758,640,924,557,
379,385,988,294,428,254,875,528,664,722,761,925,829,556,441,199,648,403,553,
852,710,559,966,157,229,660,061,717,907,238,569,886,621,007,047,835,809,086,
743,265,231,341,629,462,835,820,976,219,354,585,587,577,232,935,003,230,811,
999,141,424,000,867,953,944,178,503,711,037,133,537,932,608,225,574,015,928,
270,884,937,223,166,739,729,278,985,707,055,151,192,414,547,795,447,258,141,
597,785,773,375,870,298,245,993,306,844,299,776,512,733,280,957,831,520,373,
187,768,741,081,777,130,984,247,597,918,909,536,451,945,112,951,502,447,623,
668,351,514,950,898,441,270,304,718,927,725,900,287,092,364,722,051,591,685,
739,948,610,494,247,280,361,061,517,499,807,854,043,757,084,987,752,545,812,
375,041,367,256,068,036,723,750,448,276,890,467,532,490,533,125,666,572,943,
393,176,473,175,999,245,154,591,357,905,039,355,978,998,277,428,861,954,978,
821,524,295,039,979,337,880,856,298,049,177,376,141,048,635,280,649,181,552,
718,809,632,018,465,504,846,942,915,906,842,123,442,508,143,548,640,160,888,
078,828,016,236,957,324,718,380,676,936,822,316,195,582,141,761,505,573,950,
624,463,150,610,411,558,926,883,676,604,815,848,381,015,571,543,471,788,352,
346,220,478,000,086,319,190,797,235,975,661,387,817,993,292,326,764,083,645,
539,006,418,741,585,947,023,850,407,567,795,670,187,560,455,562,172,082,072,
393,634,842,301,168,608,091,268,602,023,915,758,322,114,458,188,158,214,245,
140,665,944,217,338,736,357,172,405,852,119,630,432,464,698,323,762,063,731,
014,943,124,049,902,224,630,926,842,254,788,425,247,251,674,839,875,314,673,
448,825,400,189,091,983,025,073,160,081,686,994,097,562,684,480,749,107,055,
866,553,669,439,233,300,161,685,705,554,473,636,905,148,780,896,354,560,624,
863,175,955,631,896,074,031,756,243,705,302,467,555,998,992,452,805,853,775,
043,052,629,067,470,018,116,005,400,566,064,055,055,425,009,756,425,932,739,
289,015,545,585,670,852,639,927,836,521,528,799,040,126,159,666,673,562,614,
593,692,617,001,626,847,850,668,498,535,000,253,511,830,493,140,399,267,752,
696,102,259,536,895,477,979,206,749,010,286,610,329,002,378,748,895,499,657,
639,765,616,395,226,268,844,871,310,460,881,163,001,386,488,040,445,259,975,
925,156,967,140,955,886,603,649,816,098,083,054,172,550,019,787,255,967,335,
211,384,755,162,615,868,823,263,815,645,288,176,194,394,460,412,437,967,395,
405,803,232,435,702,420,266,101,377,866,244,609,454,426,550,129,464,701,623,
048,536,553,427,839,454,195,741,937,177,533,515,656,552,198,244,779,696,083,
445,024,346,546,368,645,453,200,356,315,025,442,753,395,454,325,305,485,355,
045,557,100,177,556,708,140,625,324,129,133,279,107,500,923,593,484,314,585,
649,538,691,258,450,776,750,248,323,261,750,814,496,350,469,754,821,765,447,
394,549,680,630,768,454,913,668,618,093,571,047,011,145,208,212,028,573,257,
841,688,067,940,352,037,461,047,386,533,986,292,403,104,800,009,410,666,950,
122,324,249,452,165,389,851,301,771,526,269,859,859,187,775,030,420,007,544,
799,393,496,496,912,619,419,391,484,938,540,244,538,347,223,208,870,323,660,
744,587,222,215,300,852,863,302,996,376,943,414,247,718,406,309,965,096,277,
255,697,319,012,830,470,831,117,565,660,717,714,963,258,942,805,629,212,517,
438,922,977,390,743,444,365,272,998,974,533,277,483,691,822,185,071,270,189,
873,048,905,830,357,554,071,206,469,708,479,271,338,351,501,891,601,121,503,
336,994,211,022,627,171,203,527,440,264,123,790,826,598,053,313,651,186,165,
969,908,726,466,606,666,911,101,243,864,119,567,750,476,677,362,768,376,575,
083,305,542,923,641,159,286,678,204,545,565,433,793,033,639,791,978,193,525,
717,071,117,822,805,946,520,417,082,286,774,153,867,981,417,708,934,680,333,
844,971,176,171,529,652,095,611,087,284,667,101,535,398,898,582,273,743,682,
698,001,283,042,878,448,394,235,124,888,633,939,578,973,981,197,602,903,648,
816,921,303,640,613,362,162,979,860,882,459,367,820,873,912,371,400,806,061,
670,791,770,942,637,076,166,867,286,347,803,584,122,716,206,052,037,796,403,
108,982,939,037,397,997,297,665,141,937,485,439,301,642,728,678,716,019,848,
141,991,902,285,097,562,109,133,192,141,992,190,360,999,286,381,686,036,308,
058,676,439,650,593,354,112,032,908,983,885,093,113,323,069,943,378,585,321,
441,518,306,624,084,534,956,174,773,933,745,213,090,078,169,000,986,052,593,
753,014,993,892,470,945,834,576,781,088,827,896,430,274,381,544,177,812,418,
219,974,703,485,964,333,721,130,838,823,626,704,844,474,554,090,574,630,056,
709,552,752,578,349,937,639,125,438,897,617,727,417,761,398,938,416,778,170,
541,373,928,575,999,499,553,916,496,248,945,377,774,631,797,165,777,708,230,
770,006,328,792,533,673,238,844,353,195,375,403,350,699,911,402,627,094,231,
399,289,209,536,402,948,870,403,831,369,349,373,934,344,492,378,145,939,309,
430,667,199,783,498,327,222,662,094,334,188,871,531,812,970,375,933,255,742,
665,495,530,604,562,866,817,604,703,796,787,897,071,800,111,570,055,164,968,
296,561,388,550,336,445,754,151,741,218,827,131,391,959,517,196,926,529,201,
628,791,186,009,737,523,766,458,375,963,160,562,360,089,595,565,573,038,996,
781,739,400,082,760,448,012,016,355,681,625,704,503,457,226,131,670,215,464,
602,447,205,132,488,204,021,869,883,993,160,504,999,304,138,314,477,680,303,
170,308,345,461,686,703,802,097,325,974,928,637,253,774,282,165,872,809,475,
304,250,152,220,998,260,886,938,871,555,432,896,790,058,087,816,897,017,246,
633,629,131,044,253,277,175,834,007,743,025,227,874,190,991,333,482,734,793,
025,053,838,796,487,667,205,013,944,866,650,496,295,069,050,624,898,476,225,
878,967,405,909,250,364,998,845,908,571,519,248,307,282,279,639,761,016,275,
858,967,877,941,934,423,386,686,328,341,769,953,826,160,759,809,093,725,361,
970,262,192,778,879,010,786,179,177,914,574,613,392,219,969,562,753,302,032,
524,223,221,102,244,146,200,699,708,550,753,656,402,304,521,874,229,874,131,
614,043,276,284,423,882,943,434,097,893,659,241,475,147,636,141,678,766,256,
368,884,901,700,794,704,270,622,050,382,093,393,104,006,666,457,855,983,702,
363,810,566,589,342,977,551,493,387,276,388,179,742,749,757,719,265,308,631,
044,869,350,616,237,144,580,566,028,050,080,416,744,066,271,870,501,158,886,
418,831,350,574,535,474,732,882,631,498,416,682,330,675,195,177,199,502,595,
582,690,765,410,747,433,240,567,152,360,289,931,305,783,540,720,107,630,964,
295,379,658,200,685,397,302,453,454,006,723,488,797,536,204,300,704,558,916,
408,318,460,899,358,192,580,484,723,088,463,190,967,548,369,970,778,839,823,
209,330,622,076,545,989,967,248,178,847,743,126,837,923,223,749,084,884,152,
642,716,291,028,024,579,484,818,415,767,042,643,638,538,130,404,255,396,354,
431,125,750,674,815,626,873,365,528,834,668,552,080,436,426,735,643,232,583,
589,917,563,396,029,383,805,493,997,608,351,611,940,387,501,057,236,520,499,
729,615,043,506,801,280,057,352,482,721,459,070,984,581,110,475,878,851,633,
425,990,359,566,940,437,796,653,589,126,619,536,000,550,216,087,471,459,532,
602,101,071,599,240,951,763,445,892,741,240,484,095,098,777,198,587,029,342,
254,298,609,070,334,244,406,953,032,653,450,613,801,264,275,061,824,167,472,
691,561,065,033,349,560,076,915,227,246,677,676,400,423,173,860,835,355,201,
399,669,913,369,897,851,005,513,566,532,000,456,315,589,843,119,391,413,025,
761,235,565,594,101,454,102,712,281,616,153,849,115,399,797,592,958,026,882,
168,678,415,149,006,701,822,289,381,567,618,498,347,334,416,231,736,801,737,
576,955,746,399,335,368,462,024,634,698,638,325,403,281,707,796,472,634,769,
604,492,108,083,491,264,046,536,728,153,645,324,339,832,787,835,717,989,717,
530,659,451,791,305,819,968,105,939,711,120,173,821,414,715,170,298,582,721,
033,894,819,029,518,323,344,099,210,608,469,305,100,899,632,076,151,618,166,
907,806,699,911,705,558,827,589,338,210,828,947,609,108,470,345,624,142,105,
511,842,865,509,374,219,371,601,256,061,759,037,336,295,068,039,340,719,019,
348,965,072,437,360,369,268,363,837,847,730,994,107,018,738,468,418,536,871,
468,960,796,531,520,611,052,797,703,931,787,426,750,224,843,908,600,639,428,
526,785,496,560,611,481,371,275,701,067,281,256,876,170,435,471,148,179,103,
148,436,062,185,453,752,912,791,741,528,357,734,671,645,254,282,463,509,016,
559,921,977,162,435,079,023,651,144,006,428,759,572,177,196,289,727,858,085,
022,665,953,906,019,864,801,319,471,705,241,174,688,854,477,544,246,910,593,
733,299,757,509,301,978,224,130,393,755,182,033,217,920,040,094,096,599,097,
536,371,722,763,968,746,950,903,868,241,819,428,913,364,113,658,454,728,337,
962,172,187,643,551,029,974,174,689,999,834,956,492,542,138,165,026,564,350,
844,106,709,350,478,819,928,795,472,237,072,624,187,122,545,577,619,259,590,
742,428,489,763,591,701,091,673,359,523,600,867,984,279,170,731,264,968,419,
031,807,548,881,274,537,516,420,968,813,101,638,439,860,229,480,650,798,934,
438,742,993,950,790,069,469,211,254,929,321,899,288,282,105,085,268,693,384,
240,547,558,995,437,686,943,041,774,812,838,588,770,829,521,810,301,209,528,
848,895,562,413,251,476,904,631,979,675,025,373,191,489,511,239,903,746,988,
349,686,395,551,744,496,922,910,224,505,024,838,585,395,870,553,530,234,618,
785,363,431,402,211,817,650,823,119,192,227,950,056,939,389,242,121,748,735,
824,728,093,810,248,539,058,649,775,231,772,198,101,670,120,488,302,733,235,
947,310,576,155,618,068,883,994,750,259,649,535,891,282,418,569,306,448,835,
268,630,831,226,578,532,088,718,797,119,445,896,630,519,341,645,684,781,973,
291,118,281,622,686,849,713,810,756,589,701,722,441,983,925,417,048,591,110,
495,767,743,599,310,287,181,876,486,040,568,260,104,755,399,036,402,492,549,
896,024,275,398,020,351,130,020,813,960,525,439,018,597,706,863,597,327,712,
140,107,115,388,721,727,859,083,433,530,121,899,796,277,481,633,348,756,258,
081,595,842,637,560,429,868,804,881,553,116,718,634,715,177,600,078,614,714,
739,737,196,813,884,437,466,390,233,515,139,360,158,624,620,015,356,264,727,
164,081,382,813,060,223,571,729,980,250,493,032,640,430,663,721,880,456,114,
333,229,650,804,372,269,475,246,618,528,946,022,101,058,559,201,859,282,126,
133,371,149,380,947,644,538,649,232,331,791,324,432,721,627,149,520,177,346,
467,441,387,659,127,568,188,995,603,576,744,758,960,663,083,310,760,000,982,
114,599,747,262,889,105,228,639,275,341,161,757,278,560,438,817,932,495,393,
644,735,403,037,497,021,803,762,350,640,022,427,111,531,787,756,606,144,352,
858,150,513,734,492,957,689,113,555,750,282,939,741,378,740,791,640,032,442,
847,274,247,740,919,019,337,589,591,472,081,071,749,867,096,312,054,230,220,
791,213,994,188,959,022,502,080,151,149,881,702,303,880,042,110,322,710,157,
419,242,901,388,436,037,015,104,638,673,695,630,545,691,978,993,323,883,935,
314,354,600,702,809,295,424,467,030,881,016,990,563,419,017,747,969,356,156,
971,788,523,287,445,804,377,377,065,593,519,367,281,286,138,278,045,846,533,
888,474,817,719,034,769,874,766,990,481,248,266,659,202,125,079,027,087,572,
203,108,067,853,008,089,066,907,674,856,900,711,530,650,253,407,573,706,620,
469,181,347,902,547,909,983,498,625,979,587,684,963,330,968,591,027,430,205,
184,192,343,692,917,369,487,761,411,627,044,486,487,384,638,312,112,696,566,
314,066,441,184,379,975,776,953,643,780,104,142,698,286,945,062,139,444,902,
706,305,420,531,982,125,186,640,802,262,260,741,220,453,494,246,557,883,773,
901,365,358,860,380,831,438,035,418,874,937,204,230,307,726,377,551,448,756,
856,344,623,219,942,000,683,774,914,420,136,608,166,412,855,269,303,486,146,
700,600,989,758,365,152,099,306,199,704,702,520,360,119,952,752,265,453,609,
672,051,938,814,637,742,587,892,686,984,852,972,392,423,005,814,168,110,768,
509,921,163,169,222,167,088,927,834,197,403,267,076,761,316,354,138,753,888,
688,953,491,623,231,752,960,691,800,260,252,625,301,616,361,109,291,019,298,
991,119,120,701,550,106,756,822,274,906,450,913,989,124,673,417,320,686,666,
130,625,868,692,835,623,918,071,062,481,333,624,703,459,663,293,330,197,242,
063,509,424,545,699,217,953,744,156,911,177,524,836,147,516,901,788,470,768,
953,237,999,196,213,553,633,979,393,210,524,471,099,858,413,527,567,841,322,
990,367,051,188,368,906,943,386,317,834,263,345,828,407,665,460,440,766,806,
839,232,256,425,870,050,119,673,457,923,931,680,958,621,498,198,396,685,780,
179,883,749,095,028,170,957,297,811,543,403,359,818,084,085,570,798,775,546,
805,415,913,449,231,805,076,182,170,347,229,337,250,197,349,301,990,532,622,
442,574,174,920,274,865,097,001,655,623,180,239,398,592,487,601,144,835,036,
824,466,643,549,169,660,953,859,057,885,634,541,077,856,324,734,230,273,935,
029,581,159,460,316,667,212,367,357,649,592,171,308,036,434,800,561,750,571,
666,269,082,899,858,685,139,253,640,107,981,533,500,638,981,989,702,824,635,
717,634,086,948,000,726,251,384,883,790,731,310,162,862,729,249,156,114,244,
364,175,365,839,528,823,993,357,732,376,220,748,455,512,131,822,196,617,954,
297,773,649,235,265,019,256,360,185,127,357,622,709,744,933,550,607,796,338,
828,942,320,281,042,728,272,516,130,477,678,315,147,814,757,403,793,692,517,
312,496,266,855,928,788,514,693,150,476,049,531,817,581,570,920,124,483,823,
423,642,889,929,500,316,308,236,358,360,680,694,700,137,156,951,696,880,200,
771,998,368,889,839,698,441,470,169,058,631,345,931,011,521,629,639,878,718,
392,600,793,522,064,809,511,316,346,302,273,830,410,276,460,223,634,573,414,
012,898,663,532,772,801,159,237,155,843,343,728,181,684,821,763,359,106,453,
634,719,069,382,244,521,642,152,985,094,707,402,212,095,852,260,617,694,756,
446,964,485,038,473,241,251,090,810,353,214,342,384,379,232,264,824,969,262,
183,778,457,824,108,950,044,778,000,927,411,315,503,842,909,503,373,049,441,
005,216,657,038,398,607,567,271,612,266,814,270,454,503,727,237,324,093,666,
243,031,035,839,304,107,122,253,648,033,944,584,845,013,457,986,597,274,040,
302,910,110,349,630,187,075,246,648,973,275,053,421,897,716,204,853,073,850,
237,319,693,187,647,559,510,360,676,746,935,528,956,058,382,120,468,486,961,
766,651,852,245,016,358,666,976,961,374,578,548,055,475,976,078,011,576,798,
032,915,520,349,398,812,251,822,114,287,534,547,559,902,799,757,277,011,388,
589,348,201,452,815,293,665,704,105,612,230,347,956,661,968,386,460,944,924,
114,476,450,327,682,365,733,820,827,848,831,072,999,068,784,155,499,923,950,
599,101,059,317,077,104,060,070,772,236,792,718,400,008,566,749,554,626,334,
891,140,661,758,785,636,326,362,242,187,506,328,631,274,475,891,228,491,041,
042,817,354,932,988,833,110,684,877,403,451,019,434,779,311,105,005,222,799,
463,798,742,289,329,775,728,312,304,998,939,670,319,349,474,756,531,179,575,
836,500,266,179,487,720,803,100,680,520,921,458,460,663,995,933,876,946,475,
925,477,103,680,369,051,042,213,673,308,747,136,984,529,843,391,148,323,655,
955,942,596,077,721,724,935,321,038,749,358,298,342,347,299,766,585,740,534,
136,793,489,138,604,992,621,314,952,875,013,537,335,085,905,599,916,445,673,
407,491,931,517,131,751,965,668,311,722,339,661,221,687,647,697,505,782,618,
236,232,514,622,026,808,214,692,389,107,102,555,599,794,644,384,249,971,503,
179,619,663,375,179,804,308,581,602,621,316,231,065,259,532,187,493,841,970,
529,128,306,466,511,205,015,292,904,912,624,362,850,907,118,694,527,781,394,
612,691,326,018,067,470,920,996,878,069,851,456,468,891,010,474,591,213,527,
815,991,394,680,024,340,595,301,024,850,657,951,918,305,137,617,830,749,308,
984,669,004,077,613,826,895,497,020,884,124,627,919,611,764,072,673,437,135,
302,830,876,070,398,252,894,714,945,022,179,031,963,814,252,701,311,607,370,
674,686,012,565,119,014,412,867,605,039,000,206,468,809,577,758,355,634,902,
188,414,482,852,382,696,874,290,253,023,992,178,610,169,367,171,087,605,486,
172,122,983,464,984,220,337,312,103,655,168,891,345,728,153,115,719,844,860,
834,241,416,694,281,206,276,785,667,579,274,592,773,730,322,136,402,143,938,
175,055,171,086,461,323,700,747,856,305,048,710,842,194,890,160,987,655,952,
140,860,836,052,011,116,417,461,776,517,609,512,335,988,293,416,923,590,537,
253,651,045,890,098,071,632,581,808,769,090,199,647,172,960,950,230,272,251,
807,603,093,303,157,778,800,593,387,536,567,304,350,741,028,713,749,748,723,
904,156,787,451,934,062,049,581,695,099,804,316,079,827,865,342,677,158,080,
797,243,577,942,841,731,904,655,928,271,592,675,032,351,217,431,774,451,816,
026,467,694,800,812,975,795,764,504,181,173,832,870,205,591,582,187,681,229,
508,322,506,668,076,063,346,397,419,702,218,789,692,957,416,697,779,457,920,
836,168,761,420,213,399,822,257,535,441,644,782,575,251,229,875,876,544,726,
070,926,263,923,895,463,093,715,066,292,543,081,098,405,661,291,577,335,199,
998,721,656,075,083,743,707,765,765,371,587,414,376,390,115,003,958,848,883,
751,064,110,612,892,452,848,041,772,355,148,995,439,067,347,176,492,306,130,
819,018,249,300,353,146,445,338,408,356,433,620,128,710,984,852,053,470,993,
821,557,320,797,705,321,512,069,824,620,182,797,633,729,466,665,172,053,825,
397,002,496,035,067,759,711,565,250,075,315,626,301,019,668,918,256,509,301,
048,156,131,400,324,069,110,823,353,303,697,680,036,931,338,982,901,356,902,
988,870,995,516,730,875,310,225,211,258,885,307,805,393,516,263,565,775,310,
475,092,529,569,362,580,439,896,329,028,939,092,531,397,873,597,156,702,035,
093,750,634,841,335,209,824,472,156,783,309,856,160,621,490,047,513,082,481,
834,433,253,494,004,579,334,171,994,059,073,528,474,450,117,947,421,326,836,
416,646,503,887,418,539,502,789,036,258,249,835,401,834,564,559,095,597,906,
414,802,905,912,623,319,031,878,505,845,834,282,270,438,063,197,437,322,792,
934,314,647,094,356,841,656,171,776,887,027,786,964,192,013,060,577,850,745,
839,004,314,142,058,455,921,293,500,362,535,344,221,445,510,307,228,385,774,
426,222,252,862,569,265,405,631,699,711,914,064,618,641,589,554,837,109,806,
887,264,513,239,363,992,535,407,890,190,177,339,276,728,108,535,970,994,216,
259,601,020,771,115,692,232,072,068,070,132,965,087,280,919,310,546,564,092,
002,833,773,027,571,065,299,172,287,556,598,952,110,190,194,332,034,528,119,
250,772,882,386,134,750,880,835,879,449,274,514,116,058,480,413,636,400,219,
069,069,842,358,958,067,781,811,077,808,736,131,603,188,583,427,322,138,170,
834,947,321,909,830,313,788,744,871,146,244,353,978,360,943,639,505,324,357,
413,295,073,255,922,089,375,410,986,754,323,417,057,042,051,216,522,752,842,
880,060,573,427,032,865,027,805,649,260,390,444,387,356,882,228,528,887,070,
859,592,689,766,950,929,586,691,302,033,359,986,114,672,535,193,047,618,839,
676,436,573,542,334,955,648,394,593,883,894,037,974,101,941,426,966,668,112,
252,013,423,615,651,359,748,785,833,365,321,930,431,340,233,072,913,544,958,
853,944,441,544,135,824,704,088,593,556,568,766,663,161,575,044,720,844,796,
388,046,452,467,433,520,325,986,950,470,105,419,015,778,395,525,806,327,407,
698,380,486,027,158,075,257,229,001,946,466,092,396,390,283,494,062,936,377,
350,845,753,666,639,899,630,007,053,404,143,217,820,122,157,260,794,210,024,
537,718,271,153,991,565,861,632,955,769,443,543,763,978,050,853,263,925,542,
914,189,564,969,172,597,279,390,317,569,537,859,021,712,791,177,341,149,621,
212,204,470,039,795,508,989,933,707,505,197,637,512,234,114,734,659,736,759,
671,597,811,942,953,785,013,259,850,461,431,050,928,623,718,560,501,840,834,
706,361,201,370,788,041,595,522,538,512,113,269,617,365,485,461,396,315,513,
010,476,745,632,979,251,216,385,702,165,994,544,004,880,420,877,250,565,564,
980,164,094,420,167,368,385,698,099,383,439,876,136,268,981,769,343,952,334,
224,059,999,063,474,873,283,034,349,099,438,655,601,035,748,854,010,452,948,
783,475,045,890,828,078,978,525,728,157,972,795,166,183,875,333,841,764,566,
713,407,771,741,047,080,862,731,206,408,527,987,460,901,473,771,834,584,485,
540,429,413,915,936,851,483,733,106,283,383,647,748,968,744,212,328,897,009,
669,256,830,748,864,879,602,581,720,584,831,414,719,250,424,623,539,304,999,
613,117,040,076,732,593,864,487,920,930,979,792,100,042,010,183,200,146,048,
683,168,251,010,255,750,512,157,247,420,292,042,480,558,212,444,631,937,162,
910,938,544,750,559,877,138,928,454,637,358,645,437,952,037,797,313,659,556,
541,225,167,406,523,812,691,888,036,406,731,978,898,895,971,435,832,453,454,
396,203,454,705,809,216,853,105,348,457,420,523,654,528,106,715,587,957,494,
251,026,402,371,140,738,918,102,101,563,461,343,790,539,469,786,372,249,296,
228,508,277,255,633,443,648,450,950,118,244,163,268,561,936,872,543,360,432,
265,843,414,384,634,575,052,622,826,768,349,360,460,914,717,189,377,960,484,
862,403,034,936,298,139,740,960,459,626,076,384,266,678,497,609,351,888,649,
093,008,915,065,825,639,034,238,594,506,085,848,167,528,112,757,132,706,072,
364,806,739,270,482,796,970,100,853,881,092,322,696,186,656,263,176,388,593,
712,978,828,356,772,423,451,973,656,727,059,728,573,194,069,485,118,792,692,
143,202,998,005,605,006,138,425,194,294,451,144,010,286,895,015,168,561,638,
286,008,301,614,513,527,357,791,445,166,279,594,993,071,514,731,491,418,642,
674,563,530,461,061,349,558,658,092,018,857,653,947,613,949,210,729,906,352,
824,531,210,949,977,726,732,153,759,812,345,808,248,400,444,666,408,934,495,
823,791,751,759,132,304,680,360,978,883,136,716,386,102,568,736,006,558,491,
635,972,998,344,919,859,163,362,362,163,439,452,092,889,259,748,567,778,755,
728,528,095,921,131,128,192,046,658,189,823,978,651,198,431,659,603,816,334,
896,613,529,953,470,269,682,957,713,866,152,513,393,926,650,109,825,872,342,
224,484,456,412,911,057,218,505,570,135,138,673,524,909,292,515,673,326,696,
497,980,267,793,306,998,622,718,914,371,390,895,803,706,369,496,754,376,173,
799,978,176,751,476,645,988,149,650,151,173,065,932,147,361,103,939,509,548,
311,494,774,709,730,955,883,410,619,416,235,801,120,487,170,453,113,898,476,
470,034,966,379,578,496,828,481,189,306,514,677,695,031,087,188,216,822,774,
627,654,683,746,595,218,841,316,847,621,357,683,676,422,853,315,591,240,258,
922,924,922,365,752,050,852,298,874,103,372,467,002,648,868,785,039,261,815,
313,571,302,849,523,271,684,899,643,720,845,164,581,120,455,338,071,298,630,
780,028,910,091,739,125,838,610,621,878,455,250,617,422,949,849,865,140,638,
710,210,822,879,563,335,467,838,030,628,825,809,220,431,137,419,443,467,920,
746,403,897,809,545,918,875,721,327,187,497,248,476,222,427,712,965,687,864,
974,597,803,279,763,664,038,286,003,946,588,071,231,105,873,106,886,484,687,
162,703,407,102,683,095,792,067,178,928,328,683,024,242,590,463,029,924,637,
838,549,341,205,225,712,467,674,799,571,504,377,757,954,070,805,112,571,445,
222,200,495,203,932,323,962,795,778,615,917,835,275,336,043,946,858,793,480,
724,276,277,822,827,723,192,129,376,700,341,637,820,227,655,373,765,448,981,
667,069,836,361,669,720,493,957,319,217,220,710,082,244,952,639,899,924,359,
097,140,274,914,356,928,299,880,847,289,415,541,571,522,970,283,191,714,106,
786,662,453,727,431,166,032,428,267,865,827,618,959,298,135,426,453,720,699,
110,841,501,454,117,839,295,277,979,272,679,529,651,908,444,168,357,013,577,
442,709,652,544,896,761,078,630,300,249,665,667,610,808,955,356,413,172,939,
197,756,828,271,794,913,770,658,353,504,468,401,061,545,552,486,269,784,068,
595,761,888,075,323,467,842,992,292,571,602,054,137,192,135,662,353,576,374,
878,660,426,241,980,232,023,696,298,740,690,898,849,378,341,053,562,155,442,
713,327,210,747,382,523,871,918,601,655,332,723,676,033,180,891,394,967,064,
103,308,560,254,035,156,621,819,027,920,702,810,366,902,058,110,266,163,143,
749,927,350,699,681,762,588,730,793,664,735,382,276,068,932,222,472,872,024,
836,149,497,610,077,629,041,805,473,618,071,779,924,643,731,700,151,085,964,
545,499,871,259,589,076,837,588,359,352,973,994,489,417,398,546,449,702,741,
439,277,729,155,958,495,150,762,452,171,578,467,791,674,024,933,919,245,773,
783,634,906,541,593,079,449,031,594,895,520,847,721,583,881,858,588,785,581,
758,760,733,117,332,680,702,190,875,298,737,580,348,698,842,873,568,645,896,
200,745,967,162,102,790,010,477,399,973,594,224,468,938,195,961,796,376,218,
073,355,452,931,637,433,919,858,304,084,199,753,328,984,877,155,136,057,784,
283,913,403,831,962,556,947,605,546,868,391,159,258,934,852,543,335,407,039,
527,635,807,309,724,505,348,879,173,599,501,634,337,307,162,504,266,684,598,
023,094,102,715,082,614,282,185,048,904,847,665,558,040,296,024,239,388,628,
222,380,546,743,345,992,292,159,834,160,838,914,223,098,588,570,471,847,273,
050,142,794,667,625,879,677,771,634,116,673,739,019,303,409,573,108,441,700,
205,672,567,329,592,035,813,487,606,326,157,581,216,922,174,561,992,175,943,
955,287,552,197,528,381,073,302,604,634,904,010,247,208,401,067,720,183,691,
448,594,906,330,169,952,767,666,175,495,036,838,384,672,309,170,807,713,563,
771,964,225,666,385,140,373,013,610,468,307,854,082,980,480,649,232,806,575,
576,079,184,746,820,630,414,389,170,901,890,415,095,133,647,308,523,917,724,
220,507,623,599,105,127,786,162,674,547,772,619,077,763,025,022,019,739,896,
128,865,685,109,234,621,421,563,216,153,259,350,377,691,500,749,502,868,944,
701,285,704,117,982,346,488,081,464,694,624,867,272,692,497,144,827,695,060,
822,855,762,180,100,008,183,511,789,609,577,003,655,563,190,010,721,644,101,
125,244,827,424,799,927,846,624,535,938,885,044,835,790,234,911,424,914,350,
664,152,395,296,277,708,605,392,180,634,059,552,695,028,758,336,919,219,316,
522,288,103,673,511,492,567,060,672,496,224,263,254,979,487,612,466,088,812,
746,392,712,215,933,794,077,536,854,351,408,570,008,964,409,443,152,632,779,
690,847,661,546,116,516,859,800,175,573,434,123,056,189,012,211,437,523,667,
578,811,621,090,817,419,168,217,894,541,506,644,646,352,564,093,618,530,845,
206,986,591,112,908,649,938,726,636,937,398,971,259,260,859,884,811,667,479,
132,091,413,314,780,168,816,861,481,947,153,501,700,355,963,138,522,502,260,
303,302,596,326,702,281,898,292,740,333,583,745,979,116,150,210,966,215,778,
801,108,793,792,686,774,224,910,972,690,075,841,591,871,076,680,032,052,224,
536,611,249,443,034,700,766,743,149,626,547,165,242,274,827,838,351,015,799,
428,318,116,703,943,788,052,799,244,524,807,490,084,539,058,968,220,837,730,
632,331,604,041,658,484,516,458,369,328,656,378,185,278,926,868,523,105,658,
172,754,106,852,579,874,823,139,740,800,398,777,685,129,555,194,350,773,195,
087,401,981,316,386,258,477,816,953,004,353,298,802,863,034,793,173,070,000,
269,996,127,237,393,515,367,651,387,356,844,402,790,282,196,394,896,676,180,
816,008,350,449,531,682,239,734,710,061,669,969,511,323,787,032,833,396,539,
243,565,780,369,238,750,570,225,181,675,731,359,491,369,192,124,881,270,035,
878,764,825,347,967,214,571,245,675,489,117,283,945,809,401,535,714,842,511,
032,757,606,751,955,347,422,122,869,628,394,986,290,617,446,560,807,417,991,
645,857,763,077,680,480,934,139,456,096,117,864,848,684,901,692,322,510,099,
054,467,528,820,664,662,116,837,229,815,381,054,640,205,406,737,681,765,616,
628,640,226,385,392,357,587,884,345,523,943,298,549,690,040,412,792,694,778,
077,078,533,256,516,991,327,045,445,994,113,369,314,567,929,138,178,366,961,
443,895,664,216,848,203,429,860,982,593,871,128,876,912,490,971,241,702,296,
212,737,271,183,621,602,481,576,621,572,282,112,274,634,127,230,153,307,474,
850,555,353,149,748,777,962,195,301,770,633,903,616,042,716,455,514,343,053,
587,910,631,758,909,642,671,977,057,321,865,478,811,703,910,885,611,551,527,
963,737,388,000,030,373,637,268,255,706,937,003,752,335,068,183,472,778,037,
311,374,724,201,387,922,891,071,999,012,100,887,647,841,807,563,817,335,597,
958,888,577,234,445,407,967,604,970,622,216,737,240,130,338,472,542,915,047,
569,340,540,961,940,953,079,576,092,358,566,078,146,283,332,538,099,028,046,
720,994,779,318,993,676,460,857,105,959,276,199,321,324,654,666,533,238,841,
849,603,649,625,390,571,790,028,640,657,730,821,449,390,693,214,836,389,364,
144,026,278,025,733,686,040,272,048,742,848,685,534,616,364,563,447,096,464,
410,456,861,580,653,032,869,880,376,468,177,637,721,697,928,696,460,051,329,
485,855,461,696,852,054,284,393,396,415,912,142,402,436,307,270,448,667,272,
298,654,056,785,486,186,407,830,897,833,246,587,802,761,875,395,264,343,911,
786,500,704,017,937,102,731,826,228,693,214,232,573,428,098,091,829,394,349,
099,471,304,013,925,024,801,598,062,456,337,567,751,955,879,402,395,990,740,
473,250,574,196,656,975,032,329,390,842,305,663,805,207,312,086,932,127,371,
026,662,861,361,850,728,786,313,034,395,066,057,679,887,031,693,400,418,758,
826,042,853,656,094,493,715,411,250,843,057,612,641,520,128,347,698,894,958,
471,603,242,068,355,459,594,331,280,553,539,840,909,562,452,312,920,818,354,
421,247,684,462,891,592,031,353,204,306,779,608,504,809,937,265,035,972,237,
219,770,894,644,973,316,811,187,569,936,991,320,534,127,688,638,473,748,717,
985,466,208,007,466,478,329,940,708,330,427,561,398,121,852,354,290,462,857,
671,891,837,428,464,482,102,876,759,820,420,757,320,232,379,137,360,248,094,
941,218,393,232,219,195,264,188,969,097,528,201,057,707,712,945,190,897,487,
118,007,400,451,252,482,418,463,334,281,452,537,101,305,219,747,963,475,389,
892,143,134,032,540,348,169,898,844,818,633,708,027,789,861,262,071,674,224,
155,006,923,268,261,373,476,041,385,427,954,361,812,188,256,483,729,486,927,
412,691,588,330,860,454,601,989,761,303,495,687,970,328,803,064,895,460,427,
218,761,733,261,715,579,286,434,843,316,849,396,629,432,478,631,689,963,604,
783,064,771,060,401,358,997,056,440,687,202,387,065,083,634,637,073,264,393,
516,572,751,038,298,419,867,266,319,892,020,062,943,731,016,067,260,279,056,
260,059,513,806,873,256,416,506,418,535,529,125,086,499,969,041,878,955,488,
692,796,903,704,883,300,593,989,482,011,517,615,585,102,467,320,616,349,372,
059,552,133,563,376,616,782,862,313,584,476,792,284,732,850,057,376,898,845,
338,886,684,143,410,144,288,452,492,680,223,264,648,824,758,389,949,065,955,
466,495,066,491,720,442,692,430,379,780,183,066,540,699,708,095,449,575,899,
843,807,682,580,794,795,994,721,161,769,004,570,024,749,892,686,855,872,968,
863,980,134,678,933,728,802,963,298,499,445,369,911,034,779,100,897,218,747,
476,695,357,638,914,275,709,104,130,792,604,714,511,908,838,871,949,394,456,
484,470,954,363,349,743,341,685,292,385,303,935,292,262,484,326,449,217,958,
582,705,927,811,933,091,056,208,669,604,313,807,101,129,299,627,617,510,538,
056,676,942,560,460,192,897,158,455,458,579,948,004,011,818,494,426,582,401,
204,391,357,886,100,723,781,658,761,123,931,198,984,365,028,138,114,810,552,
202,067,121,601,482,410,776,839,329,285,607,461,648,253,881,650,626,498,233,
138,603,615,317,933,702,692,821,055,712,525,234,474,954,707,388,571,409,980,
772,361,212,480,636,687,229,939,518,061,814,158,526,325,726,927,853,746,222,
515,074,863,999,777,173,096,754,692,695,429,970,952,124,614,487,087,915,070,
767,377,254,311,528,547,263,094,785,811,869,706,314,546,133,708,111,154,057,
509,074,950,673,672,385,362,153,629,847,497,622,071,465,639,597,762,501,863,
254,763,960,212,898,073,336,411,802,108,340,766,418,078,756,504,817,583,401,
095,715,566,441,050,403,227,763,134,193,280,385,174,631,684,096,546,074,342,
644,761,280,424,256,452,281,274,271,378,590,144,437,308,696,387,169,884,242,
800,961,610,693,271,514,404,537,627,325,487,455,026,656,226,673,021,870,207,
689,574,004,141,549,233,130,988,353,138,455,285,866,770,277,818,489,331,186,
595,609,362,279,077,278,385,187,130,790,067,271,201,386,369,517,473,568,901,
055,231,282,038,565,144,258,840,207,593,673,428,755,673,274,754,712,839,670,
245,757,038,695,180,021,373,905,208,252,605,655,397,148,472,307,246,026,840,
589,181,294,575,744,824,897,247,943,585,775,966,557,988,657,937,633,807,686,
750,455,021,725,670,454,608,238,888,054,165,117,293,056,541,768,573,821,755,
481,554,358,767,492,806,308,555,494,546,408,677,846,589,598,667,319,141,157,
057,519,559,734,980,534,640,215,291,375,459,091,485,899,785,452,845,003,801,
840,567,201,312,189,854,762,757,890,322,585,827,513,051,358,434,783,872,311,
173,569,237,665,287,864,675,987,823,183,814,569,334,593,808,833,215,952,874,
875,641,550,575,563,300,451,147,133,289,932,288,373,814,226,685,735,073,160,
047,929,688,041,536,531,208,551,942,622,971,089,827,788,669,839,565,627,853,
247,498,946,091,169,144,981,873,272,102,375,946,846,816,350,090,782,478,627,
244,254,412,126,589,959,238,145,524,023,143,152,666,845,924,322,768,551,192,
903,102,838,366,934,574,384,221,377,485,933,414,386,768,696,628,042,998,937,
051,106,253,926,289,002,836,629,273,832,101,017,187,659,379,767,853,042,082,
361,083,267,794,987,692,056,458,874,571,067,477,006,491,697,415,621,543,920,
478,185,888,091,991,024,040,634,087,923,602,477,571,047,340,516,557,935,420,
941,752,890,954,233,903,327,057,593,931,159,293,634,550,738,856,648,174,225,
628,315,558,956,489,854,453,451,197,532,220,395,096,444,245,225,363,201,735,
296,743,199,748,471,314,977,226,911,926,180,732,171,821,817,667,865,014,212,
103,928,517,305,065,069,040,536,725,854,937,819,058,212,748,224,945,107,905,
445,582,217,028,047,221,764,761,838,773,955,284,709,080,288,271,749,669,675,
898,139,173,037,946,783,497,811,763,141,798,254,979,609,190,554,675,323,025,
475,721,931,510,816,634,892,090,159,026,352,954,854,125,692,521,958,922,849,
121,130,391,382,545,935,323,686,222,978,364,767,207,583,366,059,749,911,653,
301,198,638,807,670,420,695,970,350,058,387,748,329,142,957,819,964,402,593,
288,561,112,552,963,827,584,842,523,028,294,841,895,467,603,719,241,363,443,
224,357,672,655,813,573,055,979,859,972,844,411,227,131,773,289,992,259,890,
409,092,191,530,208,855,137,469,598,077,746,683,945,007,960,954,913,754,955,
187,368,956,652,345,882,484,982,474,791,055,941,100,571,628,507,406,849,073,
426,601,337,001,230,773,775,857,824,589,143,650,555,822,714,638,172,510,030,
686,909,421,681,719,351,662,734,635,651,340,807,956,165,958,440,252,834,147,
016,170,119,680,880,750,061,779,974,957,114,023,120,947,642,441,164,770,486,
479,572,716,396,637,492,444,940,310,508,755,532,681,495,565,720,430,428,277,
592,148,279,419,602,173,749,028,081,216,814,437,588,551,197,645,187,197,667,
765,175,462,717,352,421,899,158,963,354,490,747,922,615,691,448,719,126,953,
576,602,259,002,432,713,789,118,045,492,555,374,181,568,240,975,285,915,365,
775,820,550,691,416,085,299,738,273,512,914,851,669,143,887,403,906,481,825,
836,418,706,668,822,885,637,968,263,414,860,570,591,895,531,361,854,013,696,
960,700,432,423,354,615,782,760,882,782,927,315,964,048,997,609,329,947,546,
759,066,142,889,362,223,982,730,957,279,360,330,339,540,800,124,748,882,234,
695,235,226,744,083,907,991,119,181,730,625,007,344,659,704,463,591,817,177,
831,571,817,941,449,029,450,769,633,089,048,562,561,180,789,659,075,710,242,
303,834,621,757,833,840,825,505,861,060,501,108,011,318,530,358,549,823,799,
832,700,629,215,721,466,758,708,690,611,092,594,973,733,420,084,417,838,811,
427,403,003,830,681,083,393,655,004,741,594,562,800,147,080,950,652,686,252,
796,584,594,783,717,890,233,400,693,941,577,916,875,640,660,310,324,114,520,
598,275,775,952,354,975,168,881,971,942,281,375,368,814,080,483,088,240,443,
454,331,447,328,114,068,306,689,729,550,452,016,025,465,499,194,578,489,864,
430,000,742,744,727,435,038,763,338,267,506,536,526,213,239,225,719,052,538,
367,400,954,834,619,894,153,097,205,207,937,523,349,257,177,994,574,563,614,
448,147,861,677,468,951,265,852,922,870,370,359,373,982,852,006,018,971,930,
906,792,615,987,057,034,695,597,667,394,770,372,857,522,565,270,722,769,739,
573,903,473,224,544,272,448,279,245,215,560,343,329,230,928,436,244,667,593,
148,396,339,127,651,126,291,333,357,117,656,881,365,857,440,129,338,250,072,
800,878,750,479,775,522,792,325,112,504,418,321,430,878,721,318,158,019,376,
034,095,787,161,669,395,230,696,799,758,960,179,450,303,194,360,901,221,208,
702,569,033,136,658,825,315,840,026,635,699,637,397,433,727,808,642,324,819,
842,696,304,243,709,916,008,283,648,565,873,437,589,209,141,291,516,283,051,
336,916,211,114,403,368,324,459,982,892,707,874,250,697,901,693,402,764,220,
882,302,764,675,240,995,473,371,947,450,649,388,415,582,255,425,112,273,083,
568,054,797,105,835,938,016,290,394,301,999,507,557,477,349,968,506,207,177,
653,004,270,189,436,621,919,142,511,748,915,947,103,910,259,219,754,614,323,
060,970,236,498,269,207,372,369,609,775,641,724,154,494,279,579,760,051,151,
063,119,028,778,274,134,930,573,517,902,111,693,686,368,848,505,968,646,368,
421,475,135,207,482,390,531,938,704,358,250,365,444,615,013,270,491,719,908,
810,614,231,846,103,065,995,043,266,287,390,476,090,541,417,666,516,398,496,
338,341,513,788,869,784,551,944,194,425,104,614,985,128,569,676,477,487,361,
032,062,078,686,552,770,968,777,063,755,257,261,301,637,065,302,603,786,526,
528,787,711,963,838,458,024,809,238,050,538,139,985,181,147,623,199,638,422,
168,364,926,076,147,024,305,757,929,624,246,072,872,401,757,537,519,485,504,
677,406,732,779,172,057,994,801,870,829,156,631,165,936,051,550,347,593,427,
395,808,835,709,489,539,569,164,963,927,471,162,344,368,802,732,112,901,391,
785,560,032,348,857,594,704,217,575,506,400,457,217,558,795,164,511,806,590,
432,826,131,261,887,400,525,003,187,477,453,175,735,499,341,399,384,513,759,
157,875,491,180,928,003,743,215,314,403,298,072,838,112,523,390,076,637,623,
637,385,108,143,433,836,790,426,514,560,534,180,742,704,095,121,583,682,786,
873,360,106,400,001,637,445,549,589,093,914,794,364,486,019,863,633,775,790,
746,120,499,423,900,304,387,054,734,005,553,392,835,562,369,795,768,831,417,
857,562,432,739,679,580,508,610,149,142,752,900,121,539,448,628,601,699,554,
563,254,107,147,699,668,585,275,580,006,414,598,027,377,441,149,124,488,332,
196,744,727,671,305,168,601,305,901,967,992,820,566,289,930,723,237,536,135,
800,583,736,732,512,423,470,108,282,862,169,659,016,348,913,548,852,185,098,
832,727,928,847,718,801,975,648,449,795,788,371,427,056,745,624,559,299,217,
768,442,287,962,984,509,817,998,650,415,300,842,783,089,553,522,184,023,293,
321,547,900,120,514,605,767,087,680,841,874,528,753,962,233,419,383,043,943,
197,446,779,295,310,412,705,735,971,402,652,944,652,112,378,220,152,166,724,
132,302,751,762,591,214,056,890,820,118,854,637,287,660,725,312,916,729,419,
489,715,622,938,943,127,349,400,427,987,458,425,832,103,589,409,116,034,956,
764,559,037,561,785,589,223,812,748,802,931,742,219,050,808,742,583,780,942,
578,498,740,966,280,917,023,838,642,591,799,522,166,195,866,433,682,566,142,
320,607,967,597,029,937,812,145,453,357,363,087,071,985,426,866,378,169,949,
475,968,683,567,511,231,402,218,045,756,640,795,646,612,177,482,241,792,042,
267,147,959,079,735,861,368,785,140,161,743,425,303,265,022,509,735,646,674,
824,942,207,148,499,967,276,201,843,625,752,493,499,574,887,621,764,538,003,
077,211,521,988,230,600,613,914,456,853,767,475,330,103,405,196,929,843,120,
496,928,249,320,941,849,485,255,666,015,454,433,487,272,996,938,107,885,105,
681,032,714,601,874,848,357,300,608,063,120,908,769,189,380,895,775,400,203,
357,459,150,919,871,288,616,861,772,497,701,802,748,234,948,365,551,330,715,
451,587,878,548,957,288,079,418,426,118,868,677,744,152,822,908,565,691,177,
006,684,572,155,456,822,321,438,147,160,447,973,518,352,757,480,189,955,231,
799,219,745,577,969,685,351,197,894,993,667,283,627,575,858,207,266,921,223,
710,742,827,619,651,127,537,734,664,638,453,837,758,968,103,744,183,445,216,
812,781,747,046,807,200,744,059,988,016,756,654,463,977,317,434,502,262,165,
264,466,325,413,028,463,147,389,655,557,162,227,647,423,539,178,681,419,945,
757,019,843,568,046,870,611,354,561,137,375,806,976,721,847,907,321,308,680,
993,519,448,080,518,577,808,141,028,011,113,074,527,687,779,027,697,846,114,
805,327,701,982,703,691,396,646,985,404,260,081,479,232,857,938,566,601,142,
603,538,366,938,411,404,809,404,167,592,478,984,858,646,047,376,529,361,968,
748,675,867,306,537,902,521,419,528,398,004,687,011,964,250,020,772,781,867,
734,553,624,795,135,889,596,827,893,231,417,535,093,172,967,945,682,279,339,
863,090,881,512,159,598,471,407,520,649,446,768,593,736,964,189,402,587,414,
400,030,388,918,066,460,296,648,276,627,617,342,451,551,124,545,267,313,030,
470,405,610,543,201,659,487,050,369,075,109,241,895,771,582,987,968,936,999,
835,255,035,835,426,299,564,357,844,444,097,731,292,187,487,191,627,900,769,
223,889,934,985,176,276,709,923,945,044,748,018,932,345,411,931,912,872,707,
169,045,678,585,730,799,937,163,291,685,281,436,099,769,199,311,412,657,848,
186,255,005,843,533,251,113,738,379,986,777,085,983,778,320,218,372,716,523,
202,031,774,758,960,399,142,201,692,579,285,860,624,316,426,118,042,704,990,
452,067,752,296,443,647,404,811,128,317,546,378,627,828,969,325,469,231,978,
094,378,874,743,664,340,134,266,913,693,729,833,100,968,669,751,660,803,919,
256,626,506,307,406,345,933,960,451,622,820,112,234,746,684,626,938,015,691,
557,074,873,770,118,261,144,166,136,023,396,543,801,103,367,382,452,579,237,
449,259,948,262,785,007,780,792,500,293,272,746,738,541,862,578,472,456,546,
971,165,004,869,592,782,989,905,808,643,193,512,908,713,582,187,644,209,454,
620,819,335,878,520,355,953,943,949,884,703,727,886,819,014,515,687,039,489,
953,655,268,795,428,747,551,671,975,592,722,434,171,584,965,709,015,587,037,
946,275,951,591,594,842,848,997,629,110,344,909,752,924,944,773,661,909,832,
031,932,726,167,951,392,257,472,789,887,749,170,835,547,383,279,327,674,029,
257,677,798,217,317,420,971,066,915,922,138,720,346,639,395,642,550,226,785,
084,176,476,541,993,298,845,377,242,357,265,081,562,729,881,395,586,977,087,
355,942,545,380,077,220,785,692,275,846,214,564,827,902,996,182,235,908,418,
202,768,488,891,999,648,270,445,645,790,630,754,771,458,585,778,079,020,230,
641,882,935,200,426,290,407,703,990,481,658,337,160,003,118,314,528,917,025,
671,449,567,137,337,068,869,186,835,080,798,213,514,022,167,832,116,034,938,
544,373,140,820,893,835,529,957,782,284,437,416,958,221,148,496,882,049,839,
162,664,966,899,372,637,311,902,811,776,597,471,495,501,257,815,784,670,535,
129,319,790,127,606,294,615,783,965,461,617,472,492,163,615,433,654,116,063,
798,023,692,927,119,573,454,907,187,975,286,050,364,720,754,031,072,328,627,
473,224,442,692,952,001,219,559,518,100,141,722,681,136,788,668,286,202,927,
242,844,102,536,258,553,671,645,855,112,133,014,167,787,018,395,206,568,613,
682,035,394,557,051,084,172,697,895,285,133,731,017,968,932,603,849,516,348,
431,161,391,326,644,135,748,245,467,424,483,791,300,631,791,186,106,680,479,
385,848,973,832,296,818,436,808,500,824,005,153,869,758,094,893,158,579,404,
412,535,081,750,102,684,130,267,595,277,349,123,171,237,731,785,668,649,265,
865,421,001,930,150,206,037,164,696,293,092,380,103,877,943,784,126,532,168,
732,682,413,389,966,196,688,988,946,654,596,193,664,643,656,781,388,335,645,
843,078,474,200,825,973,329,029,322,472,766,955,362,308,425,946,576,228,968,
574,280,472,188,301,689,536,041,408,277,597,361,480,458,266,998,439,234,512,
747,635,707,799,464,612,866,788,301,130,926,936,031,817,991,402,693,320,768,
126,806,332,306,198,838,575,515,444,186,927,543,734,371,886,889,153,969,519,
183,264,165,727,647,790,968,247,719,388,516,635,284,736,824,672,083,402,643,
219,172,289,547,233,775,540,731,319,093,532,608,572,366,728,865,799,275,130,
425,351,863,295,195,175,101,974,744,074,289,412,194,108,485,610,598,334,717,
562,585,296,529,486,127,804,920,496,431,733,695,887,496,868,561,152,622,935,
868,346,964,381,976,197,356,495,922,059,044,554,738,794,130,458,168,541,967,
439,645,010,867,891,753,103,826,254,870,556,238,733,686,584,159,525,232,657,
397,303,367,536,274,106,723,088,856,147,874,638,574,710,940,535,363,253,653,
651,937,017,163,708,516,424,491,878,994,609,391,524,512,138,271,169,009,118,
980,737,390,475,515,073,801,339,330,961,634,310,275,858,654,634,927,987,199,
387,415,367,634,012,594,750,066,005,171,077,139,371,276,291,106,206,645,322,
253,478,709,042,122,902,606,383,538,389,656,872,219,230,818,198,379,588,656,
291,746,241,150,965,217,628,857,506,329,854,899,169,876,914,208,918,865,600,
264,428,932,175,268,874,461,835,435,469,024,704,261,823,993,563,512,199,793,
844,390,007,497,177,359,136,958,715,274,135,781,578,388,299,005,078,022,503,
101,606,494,069,478,074,199,188,216,375,299,063,759,072,152,835,882,707,279,
087,705,769,241,836,272,680,668,401,583,884,351,912,292,508,447,408,204,000,
648,572,131,106,461,574,970,824,734,872,884,533,349,454,926,744,528,842,624,
329,630,703,322,046,205,732,787,983,314,204,926,830,597,142,402,351,981,405,
271,067,950,178,541,415,237,462,688,963,742,459,419,088,706,810,264,866,951,
720,975,941,824,048,480,378,808,700,375,877,599,279,769,369,623,720,665,910,
721,122,339,673,428,199,686,045,486,257,659,190,278,282,979,872,450,055,808,
585,736,926,587,715,002,680,301,549,933,474,385,200,890,896,282,727,286,986,
576,785,317,438,817,407,483,746,198,233,910,454,246,042,756,034,433,433,387,
372,109,592,688,305,054,962,601,359,332,868,608,416,054,675,142,417,217,693,
823,203,483,576,080,344,270,097,948,603,504,010,584,890,863,621,065,289,181,
959,031,241,853,916,438,104,737,313,736,807,293,639,544,352,782,196,529,944,
702,378,489,211,299,537,082,144,128,031,831,128,489,807,760,526,850,519,418,
404,860,767,395,184,682,142,600,349,962,764,890,473,623,121,521,783,091,277,
933,552,094,729,617,595,516,600,859,539,323,777,262,705,126,819,165,275,949,
490,929,586,355,062,485,512,383,762,607,249,709,912,331,501,851,144,923,760,
084,008,088,992,675,417,182,113,801,155,099,000,430,494,542,202,025,421,364,
902,094,857,096,187,100,573,654,088,976,139,437,390,466,185,439,806,911,471,
588,136,697,677,346,834,741,688,790,114,261,482,707,463,423,429,534,616,901,
835,119,822,405,739,768,746,975,903,253,004,747,638,602,387,685,956,692,957,
928,040,276,133,046,652,676,960,312,622,314,414,710,444,244,974,703,316,841,
797,132,608,776,566,545,494,711,893,823,565,610,452,201,594,153,094,055,273,
628,342,011,266,540,168,645,065,700,313,306,626,677,379,416,481,394,263,998,
731,123,273,764,251,073,007,677,775,629,017,561,872,842,675,477,889,642,065,
522,220,311,265,143,637,377,875,481,104,319,200,730,554,747,485,564,124,983,
641,750,389,537,498,981,596,919,905,743,446,021,820,266,531,844,363,196,003,
849,914,934,137,769,721,024,166,621,860,754,822,689,472,313,494,775,332,582,
479,475,025,229,562,869,375,488,731,157,136,447,768,305,478,902,754,155,791,
816,290,267,754,975,155,198,481,268,246,348,238,015,975,359,987,474,663,389,
800,792,002,332,711,402,314,791,157,559,472,308,710,552,870,893,979,846,684,
424,604,768,815,931,189,606,203,591,729,144,144,260,203,269,443,052,324,151,
145,486,365,134,949,745,025,574,465,079,099,008,352,898,958,932,411,458,744,
989,753,301,157,115,242,185,292,911,565,552,063,984,499,551,862,461,685,875,
759,461,721,884,135,557,671,611,531,101,763,840,013,541,387,105,813,522,728,
859,869,521,163,938,232,540,527,254,076,305,666,193,359,776,046,554,014,227,
294,396,995,923,069,460,752,814,455,728,436,728,474,392,615,352,610,520,427,
769,913,745,488,858,109,337,407,974,249,130,529,935,779,622,140,163,732,417,
882,873,911,486,183,675,751,164,101,349,274,884,871,894,069,705,724,057,160,
421,405,972,561,998,598,111,677,235,692,812,618,624,598,807,047,818,044,666,
441,274,979,697,147,646,653,518,411,081,921,139,027,196,788,345,973,049,441,
682,036,745,778,860,929,711,283,709,127,728,875,850,610,248,242,645,461,047,
083,816,797,408,905,695,901,395,624,839,025,836,041,856,907,803,289,817,135,
127,518,928,032,242,683,938,061,210,183,766,086,123,642,160,077,755,324,053,
916,403,827,220,998,376,379,173,860,591,360,941,554,062,131,069,341,191,594,
311,709,557,708,670,247,123,145,191,980,643,804,424,724,295,268,802,414,738,
876,863,165,424,547,976,269,832,857,675,595,619,357,168,845,836,728,690,161,
259,624,091,535,403,246,062,473,085,820,622,451,884,759,456,763,967,557,720,
217,902,004,336,156,945,487,465,007,447,589,406,508,143,117,477,734,242,458,
536,868,517,344,075,455,253,417,837,633,559,220,105,055,563,040,910,795,568,
742,717,432,629,796,352,569,421,675,337,373,368,235,861,463,506,180,340,208,
103,367,431,746,419,287,397,231,778,875,018,594,583,256,733,094,714,787,086,
980,881,807,964,418,033,290,016,710,704,804,287,046,784,283,016,119,807,589,
583,601,229,057,633,358,376,215,477,520,626,640,338,157,113,055,919,472,877,
965,651,275,249,697,731,336,333,450,056,923,275,071,669,279,888,507,436,039,
225,829,666,429,371,810,830,645,897,637,345,809,527,208,638,751,431,418,501,
771,831,047,941,754,329,322,427,140,605,867,581,058,538,173,867,953,808,108,
106,973,508,820,102,762,120,303,116,868,239,172,766,567,267,761,332,563,655,
383,841,982,827,703,386,290,223,107,325,991,918,739,426,802,733,585,640,218,
907,335,389,145,979,613,385,464,619,288,334,257,886,501,704,831,653,767,472,
490,311,379,926,358,622,292,278,898,050,044,924,973,873,647,090,993,852,102,
117,200,830,932,757,956,217,509,213,848,688,968,695,615,677,423,813,849,980,
422,049,520,409,273,951,618,760,842,099,167,999,483,412,284,856,133,507,813,
209,690,248,141,943,621,892,865,952,290,934,413,815,581,819,085,438,916,959,
630,673,444,892,521,437,076,902,790,391,317,358,723,932,872,721,812,833,931,
646,895,155,114,386,698,142,638,479,029,980,140,107,691,474,812,593,158,448,
668,363,618,838,897,488,828,150,366,645,043,998,759,221,520,603,099,644,686,
117,216,216,594,148,770,287,907,324,312,161,831,748,282,181,555,420,418,499,
882,287,724,155,729,985,160,077,537,939,961,220,135,481,017,122,228,327,836,
956,821,549,146,139,964,464,670,595,650,772,236,785,227,328,017,591,438,827,
478,816,417,375,804,311,948,996,944,701,287,248,527,751,455,081,640,085,962,
543,540,018,913,531,746,128,379,398,706,156,913,851,271,419,097,385,440,266,
077,290,203,844,488,115,361,083,387,006,733,173,990,181,237,549,744,942,693,
454,467,756,914,880,269,592,704,222,420,249,696,319,964,313,571,959,973,709,
104,259,122,591,522,515,543,723,145,531,202,981,013,621,895,994,165,253,997,
402,240,581,083,407,797,533,161,874,832,962,231,777,440,316,137,069,277,094,
054,096,724,194,723,208,704,392,582,226,736,739,200,487,892,980,296,108,658,
920,158,612,889,347,046,541,906,508,660,673,593,009,380,979,661,965,681,947,
103,853,531,110,987,188,068,830,148,695,083,173,631,877,046,829,245,134,036,
555,538,910,819,961,838,020,323,326,044,869,332,341,151,875,949,249,418,887,
041,009,599,999,391,103,986,398,680,839,368,040,716,357,251,778,807,761,754,
624,784,882,321,217,353,259,035,476,417,451,685,008,381,266,052,726,243,799,
967,721,119,821,593,148,862,535,143,518,824,136,489,679,783,623,537,757,949,
955,301,385,111,393,622,637,544,508,320,809,307,214,110,201,274,697,871,978,
937,733,953,835,289,970,817,095,536,183,120,900,293,887,922,352,862,995,720,
076,030,645,102,627,424,158,273,129,279,441,883,245,220,250,850,605,245,038,
719,414,620,755,823,328,524,320,903,113,920,648,989,088,014,582,583,703,429,
392,365,869,054,867,985,980,422,494,144,470,671,216,204,104,977,279,069,554,
877,141,302,535,247,775,070,128,003,447,744,148,872,064,239,214,568,189,819,
175,756,561,773,360,780,701,415,510,639,384,228,690,061,036,660,569,460,319,
936,534,869,961,686,882,365,879,338,437,997,314,469,328,805,327,477,332,642,
687,749,571,169,849,319,633,018,548,747,962,964,340,585,894,763,944,915,212,
570,217,295,935,134,196,846,546,619,660,873,338,101,030,790,459,188,783,905,
282,413,216,354,910,561,059,896,276,818,312,945,539,345,433,621,172,660,867,
696,557,682,463,442,152,418,166,316,296,716,868,406,879,882,315,345,607,710,
092,989,651,293,771,948,738,531,544,920,781,325,261,537,503,208,620,753,573,
878,070,322,673,195,794,671,823,613,257,467,253,938,171,687,345,271,268,714,
923,862,926,012,295,526,769,212,386,288,766,920,299,140,233,525,902,877,071,
287,759,530,002,956,443,599,906,891,225,240,420,889,361,897,087,714,150,917,
617,146,704,262,815,494,975,894,400,574,997,043,916,917,936,277,194,903,550,
929,275,088,847,329,925,942,576,411,997,015,094,344,886,497,275,603,275,293,
159,680,120,724,664,396,853,335,642,319,812,796,844,672,487,740,051,257,038,
336,179,528,792,975,552,083,429,299,646,134,508,448,355,297,296,845,947,506,
093,413,197,962,385,802,584,826,584,858,003,531,775,461,455,257,561,685,767,
433,951,674,925,555,525,221,385,624,871,380,904,998,693,646,487,028,042,735,
157,105,429,362,694,766,456,057,073,410,981,002,572,661,954,088,655,426,183,
757,157,625,534,427,598,529,835,263,031,468,467,994,768,755,914,085,584,604,
432,349,867,731,186,688,219,262,524,636,817,013,079,681,597,818,702,487,422,
607,980,709,246,487,256,129,274,769,986,476,452,341,034,824,087,809,133,602,
830,060,938,700,428,693,913,406,873,199,899,256,189,644,142,344,148,375,930,
763,115,056,839,729,319,832,804,256,681,738,268,426,689,021,465,104,273,686,
725,050,947,444,708,772,326,592,952,037,798,772,804,800,003,795,536,672,314,
842,434,901,939,118,067,772,284,322,775,458,959,012,703,851,519,388,622,294,
425,798,610,706,413,386,328,072,480,527,984,330,930,123,660,369,181,400,300,
872,461,886,409,682,102,384,536,758,992,243,040,648,386,113,194,584,444,591,
010,870,045,238,745,900,985,069,867,876,728,332,620,698,818,109,003,444,201,
257,871,099,135,258,882,672,691,929,030,179,222,650,992,557,892,567,921,400,
418,937,804,252,850,980,280,546,948,177,407,571,677,038,473,625,620,805,528,
725,381,312,891,866,602,027,836,602,962,078,714,346,791,530,730,616,980,696,
433,947,090,352,776,328,090,863,457,599,515,033,067,758,332,787,625,090,982,
147,984,648,778,151,299,070,568,957,331,565,632,728,449,074,263,184,688,287,
238,776,658,034,538,520,959,085,030,424,660,492,759,213,470,884,434,938,485,
081,249,319,281,695,022,062,716,341,629,787,226,694,972,921,757,434,349,088,
640,436,152,516,151,920,948,952,705,828,553,684,379,625,004,716,419,744,025,
474,200,643,992,952,468,269,337,608,961,030,292,541,650,191,471,354,196,267,
774,911,942,511,717,488,856,254,149,513,108,547,106,968,200,720,197,515,339,
314,143,393,571,161,367,943,158,066,348,052,570,864,104,609,844,548,175,208,
141,268,378,381,365,580,269,732,261,790,401,941,782,239,968,548,897,126,619,
754,556,866,552,478,952,364,904,333,995,022,372,933,064,486,270,547,515,376,
791,779,600,841,631,305,926,968,146,833,665,753,850,195,267,104,434,862,305,
980,312,167,088,293,683,786,148,942,560,840,683,853,564,588,182,944,559,284,
486,939,923,984,683,199,642,500,912,149,589,255,275,231,498,172,981,421,357,
749,476,874,541,502,457,685,179,353,264,599,023,942,772,796,839,940,677,782,
330,396,045,981,135,411,513,201,363,735,716,382,745,313,729,037,245,070,105,
257,374,237,565,437,114,586,136,091,383,005,525,215,231,293,571,637,255,104,
306,283,828,736,953,954,788,523,050,547,070,017,095,365,657,614,039,723,960,
956,857,904,873,604,759,818,301,730,233,665,067,582,763,704,494,885,018,069,
754,810,311,586,618,670,182,141,047,256,281,672,621,121,634,080,658,473,713,
631,272,300,287,865,657,647,634,501,697,570,273,889,523,367,713,433,377,225,
594,813,897,712,945,582,680,363,951,360,536,789,993,134,710,976,694,718,131,
739,724,114,479,758,318,097,311,196,494,985,612,232,900,116,667,167,995,321,
861,432,440,708,156,393,037,726,703,070,730,468,403,448,472,577,156,243,893,
430,418,718,518,317,079,389,691,936,519,793,428,544,358,225,117,989,113,154,
763,554,985,063,535,349,668,122,486,418,563,628,169,244,090,068,233,683,181,
045,158,803,900,208,111,801,353,910,449,427,827,508,443,850,966,225,700,611,
612,626,132,604,587,908,653,597,412,352,238,810,958,544,233,771,235,875,869,
138,158,725,123,682,698,820,332,766,270,983,506,824,775,590,352,521,689,015,
948,709,542,339,659,106,013,832,048,402,673,019,532,261,278,517,373,790,771,
991,660,407,894,691,721,345,263,110,929,686,662,771,370,896,616,706,640,718,
076,053,618,195,976,747,043,408,124,883,653,245,960,346,722,159,083,750,254,
140,983,637,883,592,033,111,841,020,060,408,075,699,180,041,711,930,263,230,
131,729,776,040,746,801,313,194,543,443,610,862,290,474,576,431,757,955,764,
579,273,128,183,302,514,588,848,206,691,969,392,107,663,802,225,504,630,530,
424,458,152,374,144,475,336,250,107,968,137,482,854,272,949,221,798,796,874,
608,125,625,357,456,794,421,949,117,986,912,666,893,282,173,588,316,163,546,
087,824,802,850,970,188,126,839,613,778,498,535,913,680,277,314,769,108,025,
998,483,708,617,904,403,975,801,663,102,160,450,835,086,129,984,044,466,997,
614,654,252,142,064,783,953,969,959,081,146,733,991,011,448,650,219,397,093,
581,878,987,614,892,211,843,211,305,488,942,697,476,733,388,432,492,595,615,
110,064,877,229,379,285,075,222,631,542,483,592,263,270,331,662,159,268,986,
564,920,736,980,139,475,810,818,737,728,966,760,295,362,112,040,601,784,183,
305,810,700,305,935,601,633,096,452,340,187,213,427,425,353,995,506,720,214,
957,863,737,678,554,902,039,392,551,021,207,931,585,240,581,149,169,468,356,
786,075,803,395,329,063,439,887,203,120,034,837,731,225,804,717,702,297,610,
919,883,808,234,403,494,087,981,644,015,928,888,025,756,356,378,465,535,592,
283,295,507,447,983,018,752,790,243,576,532,045,394,611,743,266,814,505,364,
505,320,183,451,507,638,000,566,373,397,558,201,071,144,337,037,018,248,803,
029,894,929,903,413,548,015,917,450,322,894,458,930,570,499,928,705,155,959,
612,092,896,044,333,053,568,391,968,641,414,428,301,321,093,221,302,109,336,
358,618,453,296,918,513,942,768,611,172,663,543,367,942,219,822,218,630,775,
018,756,560,230,907,016,276,160,765,468,970,963,333,730,221,622,765,842,874,
349,898,736,390,637,819,163,683,860,569,538,599,367,235,536,501,037,180,114,
368,411,256,871,559,471,124,551,251,510,116,151,178,404,244,294,893,565,784,
904,720,564,683,220,518,121,191,615,792,373,643,801,925,732,164,032,721,871,
625,120,988,884,335,742,007,164,293,066,087,650,675,614,579,727,477,471,060,
128,309,692,261,338,347,365,874,850,228,410,326,457,261,842,877,923,174,433,
032,708,406,822,098,144,097,541,148,988,191,011,918,793,555,905,585,267,874,
237,839,247,229,942,288,354,681,817,600,217,606,235,402,557,762,459,016,125,
202,383,707,474,367,812,428,481,263,678,512,005,217,351,247,190,862,317,178,
568,718,382,687,035,759,024,990,501,092,501,897,298,259,156,648,164,325,767,
728,575,942,468,112,157,935,863,200,222,529,188,028,057,015,872,181,793,250,
788,006,314,328,277,597,996,906,342,206,477,094,977,487,515,738,234,831,077,
870,653,037,385,284,029,225,900,129,753,508,671,107,420,159,462,671,690,422,
821,820,654,988,661,688,218,738,004,484,596,960,054,072,666,435,524,360,607,
504,387,817,260,393,212,446,850,207,627,718,102,937,201,266,112,685,771,524,
776,010,382,913,254,864,460,188,927,944,909,737,711,206,753,438,628,834,045,
145,684,768,440,471,329,495,940,957,048,121,558,905,800,674,564,775,823,029,
673,137,060,807,121,391,069,006,547,940,302,413,431,761,367,838,747,925,452,
337,620,716,485,870,604,379,467,426,179,675,747,609,790,252,939,527,816,622,
855,384,882,321,313,779,224,804,692,554,323,963,798,700,490,075,952,500,117,
811,662,528,868,915,234,640,699,301,117,056,646,824,429,952,773,767,855,167,
580,244,961,836,052,560,766,651,774,630,230,091,439,756,632,238,527,045,450,
169,191,900,640,584,694,136,745,724,802,551,360,924,677,620,111,353,185,334,
226,994,314,585,329,065,820,823,460,478,677,885,830,453,788,582,254,743,415,
215,398,841,761,684,466,449,859,935,968,889,765,551,347,916,012,618,510,339,
848,182,397,877,172,035,244,161,558,532,136,152,654,478,024,214,348,651,221,
802,050,056,361,011,054,402,047,333,298,474,153,907,860,489,891,631,826,428,
620,097,204,236,321,364,945,083,525,549,373,954,327,374,021,469,182,697,399,
166,797,175,724,755,550,819,389,056,873,773,235,289,087,960,888,092,009,261,
263,200,001,640,021,684,081,240,737,389,737,531,410,774,931,368,588,582,519,
533,611,194,293,120,224,648,381,297,728,012,870,353,110,049,726,280,494,429,
437,787,435,608,319,010,375,735,899,795,050,320,777,314,081,972,273,023,113,
731,924,967,926,537,090,807,994,413,100,437,622,648,719,317,600,951,680,286,
047,873,931,608,137,264,901,848,427,529,278,804,846,687,006,745,048,226,696,
251,787,734,122,237,546,941,929,888,523,396,741,058,197,048,738,566,049,668,
089,910,263,639,972,669,042,241,849,333,561,290,423,506,340,157,105,171,769,
898,048,997,640,171,460,881,304,385,188,139,263,924,138,139,041,190,231,455,
642,489,309,420,465,620,897,127,710,942,358,617,657,020,927,225,130,134,824,
313,224,317,688,678,651,900,808,683,565,577,891,950,505,741,311,741,885,107,
011,037,431,279,713,852,771,790,503,414,009,230,960,638,510,172,673,021,574,
394,409,495,690,224,985,788,349,715,842,623,701,112,627,725,590,284,164,249,
390,636,385,130,262,775,609,352,710,570,706,780,416,499,302,918,184,188,326,
418,359,781,336,927,507,721,409,464,821,268,300,379,884,272,041,451,071,929,
468,452,864,979,371,081,413,390,847,395,142,546,508,426,725,220,364,085,216,
532,882,498,191,619,676,872,163,480,605,223,411,301,811,287,742,222,919,062,
905,753,212,949,307,145,472,848,308,112,416,877,964,484,955,610,920,549,118,
036,207,759,007,391,805,194,036,937,606,821,979,385,485,548,454,483,966,235,
421,935,315,300,642,506,332,106,919,861,773,193,414,695,832,570,605,801,583,
272,202,806,111,489,980,680,518,281,177,173,284,245,234,740,570,335,195,062,
573,775,879,295,535,291,071,503,101,013,581,987,862,059,630,350,510,297,693,
267,920,588,495,534,062,521,129,857,919,175,992,450,304,550,585,768,891,357,
953,929,683,996,354,111,018,064,607,682,950,565,450,321,838,178,589,877,011,
601,541,342,963,302,263,989,517,067,665,054,607,627,100,018,936,265,153,568,
419,613,205,367,617,018,414,222,391,601,772,409,328,920,010,652,588,842,015,
082,830,027,282,394,700,349,934,615,198,187,006,461,599,851,877,867,529,078,
601,919,033,208,477,441,976,222,869,386,594,735,757,893,476,802,038,693,696,
239,145,954,723,889,985,274,647,142,265,723,189,072,452,525,139,711,177,327,
070,540,148,185,133,634,231,963,945,317,092,590,628,927,172,131,661,805,849,
751,271,499,123,744,174,579,508,123,326,864,234,452,135,751,306,207,486,268,
838,167,534,822,135,925,446,151,902,262,187,842,341,686,426,952,097,015,418,
689,805,867,140,872,362,918,258,321,345,811,423,634,963,151,813,826,857,210,
715,021,719,597,235,840,718,091,841,998,048,822,114,967,033,404,419,160,663,
074,645,646,980,771,960,574,175,037,697,345,246,208,380,116,875,351,518,756,
514,145,289,504,354,160,734,777,495,178,271,186,916,223,813,922,303,014,491,
504,892,182,040,328,386,300,517,604,725,534,560,806,217,017,690,633,780,127,
894,969,179,519,546,873,173,294,770,521,113,062,119,050,275,326,541,627,504,
210,728,213,082,992,398,460,142,717,555,926,300,492,992,205,740,175,732,636,
577,854,149,247,126,745,245,041,172,032,227,974,074,599,762,686,725,974,639,
251,566,075,533,844,945,271,869,930,427,130,076,729,196,147,993,533,257,455,
037,762,228,617,495,429,011,322,962,717,731,951,946,168,715,981,342,451,800,
906,594,853,232,412,033,011,116,882,503,120,865,041,044,199,994,455,512,370,
669,571,659,649,358,613,696,111,278,430,515,463,026,195,180,966,520,283,953,
642,296,855,747,127,317,212,879,503,045,044,867,853,429,077,800,083,287,090,
965,070,556,921,906,080,894,350,921,648,318,464,443,579,012,353,397,854,482,
941,519,354,267,827,923,307,063,317,986,434,594,743,546,797,257,651,022,482,
600,083,425,077,433,847,055,953,142,970,646,580,534,697,488,462,613,659,411,
278,759,224,345,300,224,121,154,890,509,071,268,646,204,901,140,861,092,963,
572,860,293,470,249,561,707,314,338,205,564,453,362,955,793,220,219,214,971,
849,412,007,238,379,010,320,310,691,495,334,232,110,219,839,041,294,004,488,
970,702,932,798,940,083,146,098,462,679,310,376,214,419,096,038,005,708,527,
754,182,062,544,948,878,591,697,269,174,467,873,229,673,819,145,576,423,472,
712,173,399,265,901,244,225,442,546,088,754,252,680,854,655,702,839,446,202,
661,346,263,075,687,291,940,773,078,684,501,680,562,259,020,342,459,574,848,
678,593,138,330,668,733,420,534,011,062,933,348,797,116,382,910,557,818,826,
519,642,029,227,667,034,528,613,500,809,905,187,574,548,768,349,960,537,216,
791,302,564,883,420,226,721,533,094,917,488,460,284,674,761,835,492,343,091,
853,600,240,959,856,744,774,989,589,089,427,173,067,168,984,405,954,024,434,
641,885,063,500,538,842,360,117,086,035,072,489,424,620,957,919,926,265,809,
665,819,424,019,906,242,262,660,083,455,243,971,326,481,542,304,733,800,901,
823,371,382,346,998,514,984,547,464,982,092,203,553,112,695,423,149,750,774,
043,101,304,613,373,781,590,804,897,827,614,729,676,685,537,647,095,722,325,
897,380,751,712,895,673,677,797,213,272,616,265,817,055,157,363,944,070,108,
636,463,007,316,329,761,308,374,341,543,374,110,033,283,787,736,112,660,532,
449,411,606,252,143,907,740,702,538,936,845,099,086,078,939,242,683,451,532,
391,883,366,813,037,695,653,356,973,159,614,314,699,144,194,208,627,997,432,
486,849,894,573,648,293,523,278,167,335,821,506,772,501,631,385,245,787,223,
114,932,498,849,105,023,613,822,340,858,549,267,161,491,508,506,220,300,408,
119,506,470,059,467,833,610,275,639,119,999,339,143,547,343,152,984,010,856,
787,252,753,908,800,912,659,397,556,571,873,580,571,182,929,334,219,653,415,
325,686,333,198,388,646,066,155,285,834,562,399,366,549,872,789,567,675,020,
895,287,523,906,644,408,541,141,754,817,282,177,249,480,390,824,738,867,696,
342,602,367,245,713,170,732,293,613,577,020,391,333,635,013,303,846,841,760,
540,676,554,895,765,558,686,892,634,612,547,296,378,599,476,618,821,817,849,
373,944,577,422,933,582,117,349,180,494,547,480,393,994,272,769,867,618,771,
392,992,198,416,257,400,669,937,733,951,624,558,578,535,640,725,175,273,379,
247,348,261,925,607,193,203,364,026,453,877,305,398,090,405,457,942,704,304,
627,269,711,061,955,471,919,612,918,199,880,909,659,838,686,600,644,918,465,
372,147,054,383,313,696,142,817,538,144,359,830,329,544,353,534,946,628,030,
310,694,963,688,822,277,067,297,964,182,094,224,488,832,075,907,661,978,858,
689,855,205,692,432,755,058,699,334,157,340,234,640,263,848,221,700,620,634,
120,117,431,868,064,841,994,241,976,088,688,674,790,717,593,790,606,591,597,
557,497,900,881,290,936,784,163,656,697,109,803,327,399,913,650,874,466,817,
027,704,535,487,669,082,768,566,659,209,724,589,231,489,553,966,198,208,328,
083,615,907,335,553,752,800,089,271,435,749,232,957,704,856,236,926,350,060,
013,115,514,916,790,446,258,050,566,380,000,425,249,469,152,368,297,220,648,
950,301,977,745,797,863,681,616,729,585,426,319,050,379,642,235,132,760,369,
877,339,167,488,485,607,181,364,177,708,543,886,767,513,458,774,385,839,203,
188,191,476,211,639,499,523,158,301,681,342,850,190,246,085,483,118,891,404,
008,839,318,210,038,096,149,074,554,255,236,968,081,932,449,896,853,139,327,
024,507,712,437,690,797,203,970,973,390,820,428,476,161,258,290,989,400,665,
213,305,418,431,817,067,642,684,329,715,128,055,793,962,854,061,193,379,111,
295,049,788,350,872,086,938,353,898,037,562,049,722,288,999,237,496,342,659,
833,932,907,279,821,896,898,950,774,412,905,359,410,042,784,442,076,702,186,
940,815,682,170,083,448,007,251,642,525,438,457,148,779,922,095,130,341,453,
970,189,941,212,276,567,210,410,728,330,690,685,881,609,873,441,183,008,654,
163,932,715,835,461,594,210,959,176,994,357,103,726,014,862,510,338,980,311,
700,800,017,297,731,300,826,360,136,300,763,212,261,852,144,561,844,985,840,
411,360,673,068,402,761,475,692,796,210,323,361,698,046,150,042,440,285,770,
620,096,284,292,325,898,509,922,981,881,214,615,762,255,558,676,407,256,199,
429,521,231,754,046,662,166,674,912,734,847,008,885,495,630,075,606,025,591,
299,949,107,823,200,971,195,688,499,165,955,635,842,633,194,298,159,516,422,
709,557,564,812,821,660,282,373,112,656,658,239,812,237,604,414,697,518,686,
341,855,971,939,935,182,377,505,302,179,443,169,490,911,954,129,281,399,393,
599,652,226,926,094,995,014,472,691,782,329,719,207,840,542,669,027,433,491,
815,817,426,080,965,107,069,640,634,592,727,257,903,315,743,068,680,697,873,
637,339,921,636,206,211,151,586,377,197,891,473,042,523,409,196,364,145,316,
451,580,314,966,475,831,177,712,197,076,214,127,300,967,534,523,320,547,613,
288,065,968,177,248,662,269,238,809,533,114,723,371,725,545,322,272,040,695,
801,425,438,943,402,369,286,223,446,012,166,365,701,357,654,023,899,182,007,
331,602,295,418,821,177,965,927,425,228,003,702,470,856,464,319,004,061,801,
115,527,681,612,936,028,383,432,366,262,211,926,240,630,017,922,841,019,944,
243,158,330,470,837,230,983,756,422,380,084,695,626,643,987,400,223,388,098,
282,744,128,316,052,250,039,591,486,486,213,494,774,850,573,153,996,765,328,
327,703,634,461,621,316,414,384,279,904,923,870,115,862,245,015,297,263,746,
486,163,473,539,153,458,696,801,752,858,963,133,836,112,417,337,275,164,855,
993,707,105,164,818,596,785,763,133,284,455,189,908,832,365,222,435,644,309,
595,121,104,026,992,808,204,695,596,122,888,750,169,033,191,151,977,455,229,
977,565,403,334,089,209,628,475,122,926,119,421,120,379,391,224,413,772,584,
098,901,608,760,693,353,692,283,306,871,741,673,209,828,222,962,885,468,896,
920,364,167,969,134,743,728,322,357,872,888,752,791,351,674,800,389,504,330,
966,112,134,665,200,328,959,544,902,682,460,507,175,539,801,963,639,718,255,
795,083,218,199,363,278,393,899,462,581,832,607,028,598,855,608,759,562,191,
204,872,504,453,459,163,934,581,518,090,226,425,383,262,140,539,622,274,178,
851,971,306,529,040,586,798,741,549,646,119,201,995,162,448,639,761,288,099,
349,565,762,861,604,352,938,699,169,622,711,513,678,469,328,756,552,917,791,
299,792,530,004,135,341,326,877,448,795,036,223,535,126,010,306,664,765,497,
975,938,224,733,749,521,231,809,981,700,835,152,813,201,357,213,334,584,638,
276,082,813,834,288,979,113,149,901,284,367,284,091,913,909,346,158,536,501,
725,756,763,688,206,238,725,062,151,431,016,433,937,514,059,865,719,183,099,
227,207,173,360,684,984,461,345,036,997,595,346,569,706,308,989,804,709,236,
849,877,295,825,157,487,772,684,578,633,325,083,703,258,950,518,561,046,947,
589,420,118,998,476,634,954,757,699,683,517,476,006,882,162,183,190,452,732,
308,716,255,673,202,891,970,720,133,703,916,363,471,449,985,885,182,013,292,
477,521,630,681,206,180,505,402,408,324,915,769,899,584,909,214,621,870,120,
656,754,002,495,532,663,301,320,938,169,450,453,740,527,633,009,111,319,045,
754,958,526,464,966,651,870,793,163,363,407,739,991,371,728,189,391,281,600,
251,472,086,560,729,119,721,852,834,299,023,078,913,078,425,517,488,135,227,
842,393,323,688,749,342,256,100,003,134,907,420,067,963,955,525,201,252,108,
213,568,083,852,623,118,415,355,763,205,936,099,430,687,468,495,647,001,787,
590,990,760,249,958,950,441,630,674,969,252,886,895,277,327,505,709,990,428,
229,772,705,501,710,123,365,822,070,863,383,963,075,503,253,646,142,394,389,
400,162,243,926,290,830,042,148,877,205,153,142,984,540,798,535,828,751,908,
832,774,151,777,330,747,797,970,042,301,313,358,177,638,462,765,217,886,822,
823,175,256,827,225,845,313,906,024,393,979,713,505,259,348,065,780,512,180,
186,019,280,351,635,197,668,254,602,148,697,988,361,832,462,373,812,730,904,
767,688,005,036,321,269,492,645,322,257,377,523,061,043,697,588,426,789,999,
421,989,208,037,463,172,289,474,469,954,108,695,297,364,656,424,237,674,379,
475,350,774,718,339,695,935,582,069,102,690,869,048,678,171,002,122,868,808,
672,309,720,684,260,809,043,864,969,040,362,278,627,645,335,362,271,820,989,
359,523,351,969,045,850,954,443,930,246,362,810,627,338,873,248,374,379,156,
652,375,203,711,874,673,258,965,316,836,842,422,214,478,112,803,718,994,032,
208,418,355,085,468,976,824,768,573,600,842,953,137,617,136,608,583,188,201,
222,413,996,446,091,819,934,943,948,015,616,435,224,660,165,426,418,715,206,
702,856,001,097,132,412,275,350,596,844,156,661,473,003,422,992,765,078,419,
014,957,590,324,456,770,314,474,993,577,899,128,965,900,871,718,577,696,227,
119,329,231,102,916,887,961,759,913,760,228,011,036,884,050,777,169,268,053,
578,501,234,630,990,806,787,068,928,495,189,460,193,230,299,129,415,937,960,
603,625,248,171,953,520,361,146,786,834,761,812,614,853,984,529,975,805,877,
098,746,775,089,284,060,565,416,191,767,084,303,303,349,939,654,395,197,635,
268,726,559,235,920,135,637,151,945,320,974,213,781,090,373,741,002,164,982,
179,468,192,922,337,988,267,892,222,866,705,894,252,874,823,656,047,904,046,
480,291,966,431,262,483,745,164,946,330,828,644,737,111,487,993,714,173,975,
345,695,042,089,197,428,419,194,803,437,978,487,187,464,328,000,875,808,331,
266,511,420,783,622,518,343,772,339,453,838,330,520,670,201,546,953,517,631,
253,234,012,376,771,441,419,377,587,029,869,533,714,206,373,700,262,119,070,
233,955,350,600,047,294,387,453,430,865,264,805,570,947,902,532,518,365,753,
255,915,054,067,336,448,149,461,911,645,778,555,658,392,431,252,741,455,838,
639,895,168,614,622,899,037,969,676,320,313,102,152,909,973,317,963,723,290,
096,207,710,396,286,158,709,751,716,080,000,957,151,146,659,319,121,976,190,
727,311,415,440,761,052,543,003,776,739,249,769,497,714,444,227,333,554,075,
843,865,784,134,321,459,038,978,539,830,230,527,145,594,115,672,730,163,463,
042,796,817,089,258,733,020,968,892,450,866,671,084,176,976,592,835,817,468,
603,490,184,059,906,497,429,413,043,325,440,139,368,088,007,406,836,086,634,
572,126,062,347,230,642,061,646,541,548,720,426,258,477,476,312,551,843,867,
976,878,320,339,085,222,766,707,583,642,643,353,772,612,062,388,997,362,520,
637,159,550,429,324,061,419,488,226,283,790,662,819,614,860,705,819,674,758,
307,045,023,562,741,924,996,427,326,278,257,699,140,479,693,684,326,220,720,
857,903,588,960,064,072,999,747,415,357,295,737,987,051,760,005,626,669,111,
979,149,594,224,945,143,238,263,705,446,206,318,986,866,443,275,531,299,239,
219,929,641,467,686,023,044,487,278,688,110,700,013,077,593,913,233,086,557,
875,835,287,883,523,632,644,626,518,923,450,623,149,467,867,651,372,709,096,
031,034,671,858,892,541,644,335,547,651,019,326,542,683,171,864,839,372,913,
780,706,322,416,815,959,979,152,677,972,278,495,766,017,735,020,912,328,228,
986,561,984,839,345,131,598,711,226,201,882,493,138,522,875,304,806,204,119,
563,486,683,146,454,199,553,863,950,434,753,110,853,760,236,489,414,093,086,
147,180,071,168,644,399,462,250,301,915,610,800,943,371,292,772,291,817,750,
082,754,572,074,602,630,081,537,758,943,976,751,348,067,030,807,567,479,960,
852,303,375,156,906,413,776,780,731,994,230,740,705,052,232,267,991,711,280,
803,239,067,053,227,186,017,436,653,890,991,615,398,599,062,714,852,824,698,
685,377,786,953,308,367,903,052,149,650,417,597,918,978,028,681,665,310,900,
276,737,098,850,765,419,638,633,570,363,303,146,401,163,693,500,151,313,092,
844,373,190,156,788,700,974,557,719,487,622,541,321,351,282,783,208,175,524,
128,679,351,070,462,100,698,774,550,022,411,314,582,106,030,658,379,194,049,
543,933,028,877,030,999,014,026,270,058,580,765,943,903,392,863,439,044,168,
273,127,025,511,266,095,001,878,013,682,238,347,559,276,382,347,050,500,407,
794,640,276,864,210,430,929,247,743,811,009,519,370,365,363,649,280,460,833,
039,640,839,569,935,583,444,816,215,768,350,310,401,676,185,255,651,866,215,
090,611,279,228,772,252,733,736,549,654,673,907,522,909,276,929,230,981,910,
975,345,556,488,075,329,429,146,655,638,740,675,283,420,049,533,254,091,870,
190,750,744,356,378,800,352,484,891,239,757,952,854,995,297,817,233,428,415,
349,979,919,734,595,169,133,534,610,250,735,026,726,901,695,686,734,658,228,
124,805,075,620,928,502,679,105,287,507,025,126,568,299,694,549,623,014,730,
387,555,429,526,062,849,727,930,679,700,284,181,972,240,504,858,131,372,894,
233,968,498,916,767,164,539,184,929,224,021,978,950,398,325,924,228,724,026,
331,961,864,206,355,995,048,026,112,049,245,303,890,822,201,886,160,925,417,
947,762,975,682,322,798,768,805,387,660,779,482,880,189,591,837,477,881,665,
053,191,337,929,711,121,611,280,658,372,711,563,744,431,213,289,298,232,987,
075,650,583,542,322,779,487,508,541,144,531,740,157,275,113,984,426,902,301,
580,210,402,587,545,436,571,784,476,594,957,469,501,904,100,899,107,449,222,
918,361,508,592,817,756,995,641,504,192,250,164,968,637,064,173,115,590,269,
667,027,216,966,239,304,078,206,526,641,910,057,715,361,062,223,627,471,978,
563,220,430,237,568,014,029,696,905,071,257,851,862,846,228,373,159,440,855,
202,358,052,481,429,116,352,934,141,108,918,951,957,484,277,126,521,530,423,
029,664,078,130,268,744,209,542,791,965,421,538,183,899,004,758,501,319,035,
171,929,784,069,111,344,070,803,679,361,385,140,572,975,327,677,228,361,516,
692,499,212,780,612,223,049,018,306,168,919,226,139,828,455,550,311,064,744,
795,887,396,892,570,780,269,497,571,874,723,499,873,745,784,638,640,724,560,
877,344,246,966,117,200,746,440,994,875,091,655,542,427,114,172,422,450,991,
907,778,474,307,237,028,942,636,560,746,733,377,547,486,644,458,970,155,454,
458,389,670,199,679,874,244,772,799,078,577,962,099,675,740,172,058,391,176,
597,191,282,364,274,700,628,741,358,173,788,941,690,902,266,723,932,949,775,
882,186,207,662,215,308,894,349,392,054,973,372,713,867,492,258,235,269,580,
983,024,608,288,644,732,431,829,601,361,715,835,715,454,729,358,565,061,085,
452,409,548,707,079,821,193,901,826,669,582,634,026,961,035,454,671,898,319,
812,543,899,019,328,049,636,352,282,849,739,621,633,322,785,125,384,604,783,
007,159,016,831,379,659,285,858,710,902,850,081,592,100,480,835,762,420,420,
868,046,792,942,246,397,962,258,973,359,579,002,615,368,080,176,405,277,374,
689,701,732,032,252,504,226,459,531,612,970,620,277,368,353,538,387,574,490,
754,931,686,338,299,436,219,362,934,477,933,390,168,823,808,976,709,509,734,
240,041,083,870,031,935,899,232,466,389,234,414,642,802,813,329,590,795,026,
518,912,064,506,307,358,869,174,495,846,386,819,856,210,753,258,063,689,520,
826,462,475,578,622,722,208,707,163,329,071,247,823,098,180,043,312,405,567,
749,377,112,068,679,823,105,161,609,972,031,226,106,172,912,834,229,770,793,
213,747,492,389,598,985,589,449,097,339,132,375,429,537,639,859,489,366,907,
956,095,771,783,721,200,422,554,114,201,193,443,510,579,969,530,129,399,702,
467,510,398,853,536,753,692,238,399,174,530,220,059,232,830,806,095,860,358,
472,553,313,437,732,082,733,788,541,126,839,782,053,578,243,599,197,167,802,
958,871,731,291,446,632,759,814,904,880,358,278,351,060,725,354,994,759,016,
940,523,468,156,753,101,625,890,431,416,649,996,785,838,964,687,997,855,067,
783,538,764,080,078,070,139,408,329,251,753,756,831,845,129,524,622,794,218,
207,470,851,694,756,474,038,937,806,755,590,870,103,872,699,622,466,204,772,
407,524,914,935,507,479,637,793,866,353,458,241,663,950,769,315,573,526,157,
698,098,394,096,913,811,796,235,765,212,831,352,679,369,896,113,066,630,896,
513,927,175,260,870,256,771,065,365,413,333,477,232,462,235,305,602,311,391,
881,647,463,640,773,470,747,338,045,453,753,710,363,312,277,772,466,507,620,
106,502,790,030,840,235,466,306,360,041,669,103,159,373,698,181,923,902,709,
569,536,002,848,409,119,818,449,575,648,408,949,765,138,029,027,125,902,465,
923,909,251,002,983,042,209,549,925,928,414,504,108,879,895,867,622,379,370,
521,720,122,742,832,066,521,875,517,917,500,070,206,911,050,600,363,294,507,
213,984,707,957,927,792,207,654,397,871,537,485,150,895,626,538,330,856,046,
024,860,817,918,041,169,204,306,940,126,251,890,903,027,067,316,434,390,468,
107,171,762,909,448,560,268,928,657,543,169,962,920,576,542,064,135,647,739,
062,714,927,873,709,624,663,978,079,706,547,572,375,676,040,897,907,507,102,
229,970,773,204,323,047,212,798,853,374,134,156,675,265,406,459,782,512,243,
694,807,548,409,441,944,743,420,774,565,248,656,167,076,291,613,430,280,656,
256,448,420,394,535,107,559,814,859,383,234,933,654,925,830,028,113,643,971,
757,630,696,265,414,114,350,821,520,372,305,162,005,308,608,504,772,123,613,
419,111,140,441,311,133,795,011,574,019,485,251,978,140,995,772,130,029,631,
891,264,563,726,196,363,985,400,960,236,432,856,658,216,682,921,335,322,809,
953,506,821,965,879,499,158,894,050,604,869,034,558,384,693,972,780,854,688,
379,542,925,301,324,642,180,233,230,281,987,296,101,738,996,292,459,804,475,
236,537,455,112,742,228,212,706,392,072,110,537,558,608,579,451,224,136,687,
849,851,786,596,516,662,344,738,526,990,637,677,450,760,077,772,287,062,892,
312,383,033,492,549,652,838,333,555,960,470,967,144,976,412,851,622,348,763,
172,405,664,301,143,098,606,448,780,230,284,357,942,898,387,529,309,137,407,
072,824,550,598,064,261,201,577,224,936,837,532,875,953,765,183,710,495,105,
154,490,478,377,510,634,971,126,371,294,692,015,050,095,542,520,924,730,242,
707,320,524,010,590,166,148,822,479,899,845,297,695,447,585,491,149,924,478,
672,767,141,672,097,720,396,140,292,227,787,177,353,741,766,967,422,019,922,
264,301,942,561,786,157,912,927,943,712,318,413,063,119,344,628,569,375,436,
155,297,886,078,048,162,943,840,632,523,921,794,487,581,576,770,868,605,962,
050,622,313,558,529,265,447,063,676,010,621,318,874,109,398,011,921,527,885,
507,440,596,173,451,280,985,403,876,239,783,571,936,029,749,653,116,965,560,
853,421,630,710,483,196,215,846,967,243,313,230,026,174,434,846,861,372,187,
022,224,961,815,882,847,993,491,207,421,032,798,681,240,132,930,806,487,234,
457,281,681,541,011,052,611,869,794,126,739,681,266,294,222,523,208,985,902,
362,881,177,167,250,766,277,491,422,519,798,666,094,298,594,189,398,206,863,
100,455,728,272,245,951,976,596,768,839,793,216,577,759,168,405,387,807,025,
803,755,849,654,414,067,332,774,534,220,471,231,139,688,867,860,290,263,018,
762,663,929,509,743,734,799,299,172,760,676,496,115,824,059,353,715,319,947,
905,960,966,635,076,322,687,264,354,162,886,532,947,132,335,269,486,924,712,
540,593,125,031,355,879,360,200,404,136,794,561,152,771,829,956,929,188,607,
026,575,610,337,396,056,210,130,938,597,989,398,327,455,538,985,223,537,263,
464,051,799,962,470,024,156,444,215,482,608,962,848,741,900,432,496,879,300,
687,926,140,425,974,622,340,426,825,516,946,816,264,700,318,555,125,943,902,
620,375,608,807,639,775,462,174,479,891,227,198,581,974,546,375,567,661,830,
027,598,964,652,404,994,437,745,664,068,788,178,178,033,984,351,339,627,545,
812,622,939,954,028,571,713,942,432,420,767,651,146,738,624,087,119,021,763,
588,203,234,159,892,033,581,605,154,369,688,489,182,800,598,478,183,665,318,
582,966,457,871,676,275,543,405,103,461,782,392,979,932,846,933,805,010,101,
466,100,466,311,722,444,179,574,443,147,584,431,543,584,163,480,382,974,538,
044,849,167,948,383,265,960,551,856,984,649,253,460,968,307,599,123,657,656,
224,621,253,155,231,380,385,097,800,118,711,944,009,731,420,363,587,772,796,
866,619,662,317,331,741,496,922,824,144,147,211,682,288,994,337,230,803,388,
283,885,220,986,585,388,376,099,906,861,862,432,535,460,594,900,782,401,542,
667,543,339,264,856,181,330,061,766,173,834,746,026,153,605,244,231,026,313,
016,342,391,331,812,180,431,594,638,292,266,330,243,104,839,353,327,657,614,
860,709,870,004,106,720,195,663,220,511,779,245,503,849,252,664,849,545,061,
014,062,598,884,078,682,330,076,820,251,686,352,778,884,349,284,739,037,913,
591,310,637,434,270,932,584,508,529,315,028,946,870,123,022,638,881,292,249,
642,542,597,703,711,405,257,500,519,744,340,981,096,091,323,834,535,233,812,
983,109,183,358,630,175,220,036,311,001,098,500,559,180,482,410,440,211,833,
339,666,658,569,854,240,266,943,165,972,360,108,648,532,649,959,278,562,128,
140,109,360,259,368,492,615,539,564,371,164,328,584,514,341,497,450,722,675,
335,037,669,553,132,260,653,224,277,435,028,885,795,807,720,032,934,446,794,
427,186,463,022,627,644,761,605,011,704,093,367,091,359,175,005,044,069,457,
611,747,813,458,602,263,290,727,149,847,789,423,188,319,210,590,592,079,385,
656,664,342,491,555,726,014,821,682,976,504,050,377,915,456,478,940,278,826,
509,749,656,175,833,544,716,218,135,362,854,949,798,851,583,228,313,462,859,
023,897,943,027,315,708,184,638,127,920,412,232,257,809,155,381,611,916,357,
944,111,992,332,093,591,874,956,997,886,958,979,024,003,887,412,836,703,220,
835,803,850,538,505,978,330,163,888,360,100,718,031,165,979,210,144,467,231,
279,928,913,754,121,709,190,589,065,484,856,737,458,538,725,448,155,713,506,
572,289,229,883,167,594,357,236,719,933,124,794,932,609,325,319,973,652,124,
023,223,315,236,800,424,297,167,051,714,759,501,029,199,136,691,123,784,705,
262,540,453,191,684,165,590,748,596,726,676,925,848,373,604,955,351,973,419,
863,936,647,189,010,452,782,237,444,114,124,760,877,622,454,123,775,531,356,
698,137,246,583,509,903,207,244,223,369,771,465,398,169,562,176,844,392,225,
132,706,289,397,363,669,856,575,531,862,529,125,914,240,675,016,043,651,766,
349,879,319,290,034,369,140,179,329,646,746,378,977,415,542,228,647,936,086,
693,237,602,450,915,166,420,128,999,607,604,698,887,820,542,837,694,283,258,
950,613,974,346,784,854,594,480,927,392,301,681,465,093,400,224,232,920,611,
664,936,158,207,304,865,539,035,927,685,459,219,784,400,913,080,920,552,100,
587,525,760,319,805,738,405,813,073,678,810,247,321,612,373,765,365,287,673,
575,882,079,232,369,243,567,977,748,348,764,661,839,368,806,667,577,013,485,
154,493,312,778,923,150,430,824,454,528,853,374,571,318,334,487,218,467,538,
082,645,023,207,416,981,293,776,726,518,816,602,723,614,081,760,108,922,436,
513,736,241,109,626,708,480,645,904,412,101,684,763,776,803,190,021,929,609,
462,662,237,844,901,198,461,784,007,317,046,906,179,045,802,436,700,376,568,
400,493,296,868,338,891,709,415,595,820,259,302,624,932,744,340,714,688,846,
924,928,549,012,994,497,768,220,914,776,483,302,211,476,519,110,990,085,687,
940,277,179,490,633,851,670,790,167,442,905,638,532,535,644,827,439,541,856,
867,716,596,622,178,463,188,147,727,795,419,732,855,992,654,394,342,685,560,
636,098,478,459,462,716,377,063,664,303,404,570,315,804,509,658,538,571,153,
541,185,959,937,450,304,955,129,614,764,961,793,750,744,352,988,065,424,666,
054,879,520,181,114,770,761,420,244,649,037,499,704,617,938,003,918,623,178,
297,931,253,307,493,466,538,441,891,696,699,358,808,657,214,782,583,819,086,
575,513,292,831,139,418,826,446,476,778,439,984,920,825,024,876,773,306,256,
315,760,120,743,744,198,604,556,803,887,344,099,328,148,666,384,111,432,889,
016,995,517,775,559,019,394,762,884,144,662,128,611,864,600,852,840,101,807,
381,091,325,582,417,556,117,136,343,601,925,669,639,298,184,845,184,461,125,
111,866,917,412,105,515,952,385,245,238,814,626,000,611,234,239,699,517,895,
250,937,143,569,911,369,586,744,895,687,415,230,093,148,096,481,645,497,066,
616,316,907,963,166,564,603,157,471,784,445,430,191,555,277,788,469,542,924,
048,140,061,086,290,330,344,011,147,029,313,919,623,632,038,804,284,465,489,
292,813,338,891,107,172,553,062,452,787,047,729,264,120,810,932,368,206,062,
584,023,559,655,434,159,199,059,855,029,527,169,676,566,229,601,819,237,443,
065,974,709,381,121,999,238,019,654,986,580,924,399,129,343,643,721,358,862,
058,336,801,563,924,661,222,021,088,910,592,556,411,940,132,896,025,297,596,
984,316,208,351,627,290,807,771,313,847,843,564,215,293,838,165,632,756,205,
430,653,714,185,711,764,258,112,080,100,234,997,637,226,214,456,310,121,818,
828,409,481,116,708,474,405,876,884,391,651,728,517,383,700,529,851,693,633,
883,704,908,553,919,307,294,756,345,838,677,976,973,864,616,344,511,102,917,
507,645,443,444,095,392,811,380,623,387,401,764,279,890,292,358,155,883,342,
825,862,198,269,993,123,951,086,724,464,457,744,658,313,112,477,296,851,720,
347,238,293,636,326,866,549,478,439,826,210,203,019,632,614,276,642,414,786,
691,587,344,563,059,289,717,325,539,739,783,183,322,179,918,348,385,293,839,
373,569,925,957,139,294,525,903,637,402,337,259,763,257,019,428,096,951,319,
968,688,692,084,028,155,892,132,967,593,025,962,131,054,709,971,275,434,468,
350,434,989,026,552,436,077,774,904,975,043,387,739,456,034,649,221,907,861,
750,973,728,464,131,808,459,683,964,489,953,517,980,407,582,352,427,661,941,
808,065,561,692,933,644,734,581,038,051,228,622,992,814,322,635,291,224,486,
478,673,191,208,832,407,042,752,558,754,775,492,002,361,219,745,001,500,682,
425,656,878,871,746,096,117,875,636,076,343,540,312,636,278,336,226,207,288,
193,840,351,246,883,679,441,373,977,183,513,378,446,646,599,855,575,657,041,
194,930,386,148,065,126,136,834,111,848,026,174,609,568,413,428,006,468,764,
324,875,687,775,960,428,195,951,720,265,666,219,383,799,532,470,997,768,176,
861,874,701,312,586,758,206,824,434,606,665,410,060,392,787,929,085,856,814,
490,647,454,362,850,807,845,015,967,005,616,862,303,469,847,201,716,339,601,
810,645,809,105,749,937,715,294,431,264,449,920,774,467,741,199,546,873,933,
837,719,462,463,757,627,791,778,678,752,261,925,459,191,879,119,247,183,099,
344,079,498,563,814,338,476,204,751,035,092,679,838,741,479,672,771,475,296,
262,835,120,046,134,489,766,000,587,402,923,783,246,296,035,592,069,031,407,
180,047,132,232,574,550,768,452,177,508,036,454,056,056,640,066,578,207,436,
046,487,040,945,475,654,602,025,729,529,104,045,610,342,702,374,181,970,893,
875,983,223,361,969,973,207,232,099,075,736,114,113,222,613,207,533,854,008,
874,221,127,377,980,600,988,320,520,261,553,616,650,683,511,694,814,317,154,
470,118,064,904,030,533,219,128,922,070,563,172,790,903,571,396,957,053,596,
387,029,376,096,137,591,417,326,634,982,624,601,428,943,927,127,366,896,096,
906,799,464,960,665,915,908,841,713,342,790,669,948,535,656,554,044,242,732,
198,493,756,487,067,393,028,459,394,999,320,021,014,363,223,491,936,561,746,
125,417,603,618,639,699,468,615,659,800,446,391,131,666,498,155,784,270,708,
069,094,271,955,674,024,812,184,069,043,490,183,080,548,430,233,028,529,744,
062,263,562,458,931,819,857,706,690,274,088,314,022,880,876,780,241,580,446,
767,265,674,042,428,537,520,564,240,781,255,464,180,683,056,201,229,115,282,
549,151,745,694,290,949,831,524,325,956,784,620,538,931,385,607,646,333,821,
699,470,118,135,150,626,296,796,864,234,574,496,492,465,664,492,722,412,926,
790,633,502,053,874,276,711,645,388,497,394,282,071,992,891,812,929,170,274,
944,460,113,496,367,766,199,048,797,449,763,596,471,932,547,067,852,915,584,
280,265,541,024,892,151,875,033,527,392,915,156,127,554,321,154,001,945,953,
201,978,130,442,128,566,367,288,075,747,641,404,080,779,104,581,591,956,527,
432,238,026,562,235,797,446,599,376,652,950,094,988,970,688,827,100,719,976,
532,630,426,668,374,012,065,229,685,937,690,452,031,192,287,012,926,496,358,
051,423,357,323,430,442,201,691,331,461,676,913,175,631,286,044,337,371,872,
871,366,015,481,995,429,091,733,730,059,033,100,144,360,718,618,260,422,071,
177,472,270,529,487,443,635,463,310,078,146,618,021,159,720,655,929,163,214,
479,124,172,648,301,748,127,079,306,990,062,126,812,831,248,199,869,931,025,
445,261,520,885,774,889,901,946,931,821,683,322,418,243,037,212,954,380,684,
460,026,542,368,020,022,597,741,462,623,008,984,643,888,630,925,736,196,027,
311,631,538,897,852,305,834,558,324,349,095,120,154,790,846,486,557,502,942,
687,346,388,306,824,002,615,707,791,195,239,646,832,839,384,962,386,248,602,
092,833,745,443,922,722,498,725,613,764,438,503,645,952,843,231,403,935,302,
246,699,055,860,650,114,418,921,963,546,835,812,947,574,035,119,642,346,179,
677,184,011,748,578,922,267,862,993,252,979,834,857,735,359,834,814,851,555,
751,707,020,482,665,100,702,977,143,883,203,362,851,626,977,832,155,690,308,
056,003,072,549,857,583,359,440,352,619,143,026,145,914,535,247,855,257,119,
119,686,821,789,918,818,072,858,832,847,665,181,871,590,742,306,719,789,080,
315,745,979,870,273,056,569,276,760,272,225,490,308,383,114,072,739,232,871,
541,591,356,700,138,904,756,777,222,925,979,363,906,821,764,470,443,686,256,
834,620,366,845,531,609,316,944,027,500,437,799,549,021,150,488,085,481,035,
891,275,737,678,542,743,129,612,865,469,105,380,497,199,741,886,519,139,638,
151,080,262,935,967,486,663,238,966,884,159,202,369,868,002,863,682,404,600,
115,229,866,865,211,084,101,370,456,597,249,742,343,794,506,988,558,019,934,
585,850,643,084,835,823,687,443,783,719,753,310,402,678,113,836,823,927,921,
135,697,927,129,833,674,263,020,291,036,992,583,129,191,261,642,740,849,850,
719,013,056,517,059,390,936,748,759,250,528,063,804,201,175,810,173,910,678,
927,902,015,216,204,646,190,913,454,095,275,045,942,276,784,858,472,956,625,
493,044,759,200,791,156,134,678,200,947,666,343,976,898,918,193,621,302,556,
456,990,259,285,250,325,285,245,797,462,469,643,866,855,548,452,828,614,498,
872,768,289,064,069,254,781,386,722,903,628,923,172,098,106,574,584,315,904,
427,041,714,637,447,412,579,798,161,955,334,294,894,239,904,115,799,391,223,
398,055,269,470,844,531,109,684,185,772,824,520,688,370,552,303,994,676,429,
376,760,594,370,698,858,522,913,438,548,871,208,245,963,603,625,444,945,807,
558,736,820,250,493,261,147,200,788,904,392,646,255,624,504,327,747,143,975,
263,741,480,151,176,678,684,050,769,391,870,462,532,202,318,158,359,419,178,
379,377,112,428,414,077,234,101,882,260,022,399,183,447,345,134,653,005,323,
258,610,120,152,718,744,459,019,560,456,391,302,800,289,223,118,865,085,794,
362,705,539,851,167,292,150,645,325,387,728,498,380,893,509,295,191,239,808,
640,040,353,851,166,729,195,452,666,089,971,526,871,774,073,695,908,845,518,
809,420,279,621,836,037,571,717,381,645,291,395,744,949,740,566,556,102,060,
898,480,970,942,856,829,293,076,503,214,726,775,827,851,144,422,764,121,015,
751,550,894,614,027,585,946,961,047,887,945,177,507,047,723,891,504,639,632,
367,959,843,761,718,236,696,790,285,799,267,090,104,702,270,390,399,344,553,
763,675,772,220,137,748,282,245,793,632,708,950,762,117,610,113,165,718,540,
158,364,439,008,928,433,572,092,345,969,658,397,387,334,101,733,000,741,983,
649,368,535,749,446,154,569,458,599,512,273,601,918,329,415,525,468,720,830,
868,417,749,785,907,727,627,957,161,744,013,850,535,663,328,074,835,200,704,
896,135,960,390,596,255,393,834,497,164,269,624,071,399,432,547,057,809,086,
454,428,200,867,423,116,061,096,728,643,320,020,691,718,061,793,297,968,183,
571,962,390,152,743,461,906,633,690,963,847,782,674,820,696,238,614,539,921,
312,364,571,744,177,591,976,173,627,661,218,609,157,315,142,362,040,636,090,
376,051,480,644,391,839,256,954,423,964,243,547,815,401,597,200,226,997,367,
338,034,351,710,513,107,974,372,477,844,917,748,202,669,517,975,446,965,192,
423,276,435,118,076,107,406,559,608,572,443,727,825,257,141,488,960,649,315,
122,628,028,889,290,460,437,057,940,385,554,916,856,171,918,583,562,587,842,
651,019,553,265,465,391,594,802,098,027,845,708,389,802,950,218,432,773,418,
565,152,167,942,864,940,500,923,694,592,824,096,777,623,641,514,969,838,215,
467,875,230,234,321,692,836,773,490,640,955,013,201,039,254,012,125,588,578,
437,426,689,045,175,995,420,528,471,219,164,989,883,163,224,996,102,988,716,
895,141,829,217,321,304,667,597,123,082,117,716,887,231,372,787,632,713,086,
410,129,461,935,283,672,374,977,293,433,406,937,844,683,364,475,419,616,907,
781,237,454,914,776,166,996,377,537,679,554,872,258,320,420,380,067,203,362,
383,655,534,672,345,701,116,081,004,882,476,860,731,138,083,889,719,747,800,
693,778,777,068,243,334,542,403,117,170,692,216,902,562,403,956,641,406,138,
431,748,576,690,227,491,733,792,775,362,233,248,971,047,203,590,710,084,109,
482,725,241,528,306,620,128,887,473,844,796,725,306,829,177,354,266,648,661,
295,840,713,028,351,403,778,972,795,538,641,193,415,844,923,490,599,070,256,
946,674,627,957,382,412,809,447,056,990,226,886,909,890,321,452,401,839,726,
858,249,662,666,344,173,075,376,807,312,081,240,014,444,690,516,569,839,689,
066,010,164,720,475,430,006,017,401,948,112,506,220,376,778,655,770,232,519,
448,474,417,236,449,167,072,076,249,153,835,050,834,293,893,455,875,294,249,
458,886,257,636,045,284,424,067,466,710,695,173,077,438,561,399,974,913,468,
897,811,656,800,104,999,013,902,973,427,364,665,576,361,651,224,347,756,990,
548,972,474,470,764,667,707,693,896,613,853,242,621,963,404,701,622,233,367,
841,366,139,888,673,223,037,092,849,001,225,504,173,050,899,607,886,477,272,
676,567,627,579,842,831,688,750,976,916,106,552,746,697,896,889,062,367,461,
821,791,585,001,776,568,052,510,811,593,616,020,100,118,959,100,688,497,305,
870,687,805,420,689,898,171,226,610,186,987,805,839,459,426,663,758,880,790,
748,971,298,550,756,385,970,398,840,472,539,280,242,037,822,934,736,585,341,
961,386,356,469,472,398,314,396,075,586,773,621,288,866,292,161,467,988,421,
144,622,641,128,875,144,379,889,634,018,799,337,095,326,307,819,354,328,257,
853,936,984,243,411,046,031,895,173,488,466,463,425,041,851,066,370,282,923,
802,407,793,498,483,743,372,868,534,373,867,729,924,129,464,494,742,043,190,
907,871,238,406,298,668,337,533,638,848,670,022,277,009,272,148,072,313,321,
095,901,270,064,224,054,292,521,463,886,272,202,821,002,073,659,345,816,238,
654,258,911,350,020,198,355,872,631,912,523,194,906,484,251,205,486,708,448,
193,467,023,432,268,158,259,503,032,797,355,460,864,394,733,087,035,336,829,
664,671,743,522,187,491,429,459,698,473,887,198,257,500,882,458,083,716,353,
826,372,120,117,037,475,280,005,621,616,234,696,524,663,529,336,598,657,196,
452,798,687,561,159,865,502,376,561,914,147,783,006,068,636,477,562,614,084,
949,909,361,114,625,235,260,458,210,276,273,551,862,975,982,638,187,534,601,
176,590,349,729,270,629,415,587,534,246,708,861,727,286,360,444,902,932,080,
493,254,047,929,042,500,095,353,135,167,874,640,025,725,712,162,704,206,980,
028,965,484,678,048,601,564,202,219,263,705,156,019,506,913,135,602,249,915,
524,816,916,415,367,910,823,609,931,606,197,415,751,070,053,880,402,575,159,
663,235,599,509,009,078,570,312,372,608,527,110,566,589,174,630,146,148,002,
010,508,040,245,674,311,343,816,208,557,239,845,514,017,408,308,822,733,182,
312,790,545,497,585,410,160,940,037,982,699,735,494,941,386,397,812,530,737,
417,713,385,433,165,501,029,753,776,707,944,523,242,195,101,550,245,527,327,
736,192,260,622,395,564,507,846,881,913,500,789,728,060,072,256,172,494,505,
307,647,751,154,842,378,594,136,180,467,008,881,074,587,166,713,748,683,656,
018,299,918,186,043,354,478,214,877,704,332,990,134,092,317,704,977,427,465,
417,498,831,385,182,099,094,138,489,640,186,795,641,277,527,561,691,193,865,
609,897,626,267,181,269,570,118,388,896,553,951,667,633,506,601,639,209,992,
499,290,924,957,513,428,080,881,371,019,346,996,058,770,571,726,918,764,671,
084,047,676,566,807,418,035,077,936,596,166,034,635,674,970,598,087,974,547,
053,245,663,879,291,951,105,769,769,506,294,991,533,863,694,352,074,868,175,
516,019,771,954,645,936,175,606,755,274,539,990,543,780,524,404,878,395,244,
499,446,902,693,661,790,135,865,150,894,173,861,740,319,126,727,497,870,376,
197,487,517,266,281,651,461,279,985,442,632,025,477,561,731,805,579,484,019,
611,795,771,266,631,194,614,068,202,733,785,163,876,428,069,317,039,583,299,
678,437,336,178,873,662,263,509,446,027,876,865,199,282,744,092,274,500,948,
559,047,761,662,990,340,681,320,955,090,624,436,659,496,875,316,186,408,403,
397,687,836,202,595,487,119,729,776,821,840,988,734,570,052,502,189,190,355,
624,398,711,242,902,688,510,345,724,541,552,855,129,729,222,651,875,943,906,
560,435,531,314,729,955,906,264,969,577,560,759,042,042,239,271,888,022,862,
156,898,507,218,475,503,985,851,258,922,873,057,204,606,923,262,036,807,495,
629,376,479,364,711,911,178,604,864,412,174,974,545,126,321,216,980,530,203,
128,477,857,729,036,037,025,671,557,893,340,725,473,567,847,826,611,790,928,
846,020,910,668,189,386,769,883,170,677,181,955,060,534,855,776,789,528,971,
021,310,247,296,690,233,893,150,128,950,656,144,541,688,822,377,467,652,857,
634,494,453,553,739,078,036,318,708,828,375,634,470,728,579,900,578,995,915,
412,835,196,275,422,209,298,346,107,023,048,844,838,155,390,748,228,762,476,
463,862,398,923,892,324,847,508,228,473,447,474,878,126,631,814,505,858,028,
934,805,076,175,156,768,269,400,961,509,276,931,439,262,747,876,974,876,662,
089,236,841,620,338,102,595,630,060,221,717,976,735,524,875,387,109,889,904,
951,735,443,129,449,215,028,816,468,974,395,302,242,034,920,300,367,072,983,
742,767,873,619,953,438,319,459,807,320,883,821,236,567,518,442,383,740,381,
290,338,839,646,144,362,621,727,250,012,146,879,626,500,107,072,368,208,431,
961,583,298,653,763,204,725,164,808,758,541,048,342,209,564,043,944,394,076,
640,001,387,735,693,554,083,359,961,968,672,257,869,982,938,561,023,155,041,
850,449,218,514,057,325,311,585,660,160,047,241,971,533,829,541,930,473,817,
310,388,509,241,330,971,349,379,423,604,214,999,551,719,295,159,673,288,391,
904,066,707,152,157,947,881,515,058,261,640,687,768,890,902,367,266,155,186,
209,041,744,171,947,453,258,029,104,297,429,025,860,805,061,354,949,814,094,
779,242,548,804,335,981,139,651,921,099,441,096,394,236,994,152,838,052,680,
855,578,810,193,706,957,489,114,550,390,475,733,419,069,271,755,540,413,600,
512,964,874,882,865,404,574,679,035,503,928,041,625,255,933,768,938,715,788,
000,915,577,671,181,487,352,864,079,903,124,809,920,089,258,933,236,548,079,
191,563,180,271,102,199,141,997,027,005,664,197,684,019,025,502,981,459,074,
247,321,150,050,336,647,935,374,003,721,049,452,665,901,308,939,693,894,368,
730,264,548,397,832,511,214,842,286,537,009,535,593,955,488,364,459,258,322,
936,170,811,858,875,612,509,695,465,399,351,055,034,794,799,788,727,704,561,
569,063,940,949,190,245,449,603,574,556,928,106,817,006,362,568,143,724,674,
940,575,767,026,192,958,003,444,553,578,160,699,988,184,117,377,004,844,001,
240,154,715,864,281,093,491,395,625,697,623,143,542,838,961,172,289,613,428,
359,987,758,180,692,626,378,534,532,339,924,771,308,765,781,151,651,581,642,
580,464,239,475,343,483,352,188,894,805,609,542,719,506,147,201,037,326,767,
732,643,918,388,405,924,672,706,103,041,884,532,249,242,537,646,415,713,770,
944,004,479,980,592,636,969,160,432,269,510,626,994,391,227,932,488,902,872,
610,360,476,533,227,068,533,108,758,194,582,955,405,596,146,485,267,858,644,
047,335,994,734,076,370,963,527,516,182,402,320,495,098,786,789,488,589,845,
762,699,195,915,387,356,761,424,634,329,429,895,451,323,465,248,484,514,659,
098,596,472,336,546,782,631,724,695,928,999,482,305,665,726,869,435,306,632,
915,602,920,125,288,126,161,739,143,903,137,039,427,427,390,492,813,528,211,
564,899,656,790,650,263,225,774,578,154,740,800,788,913,880,791,609,168,289,
728,286,372,357,016,677,637,671,815,052,757,881,067,606,233,019,568,837,338,
555,830,300,724,544,341,082,906,979,188,260,833,959,735,800,605,065,463,687,
808,494,795,100,753,372,345,439,740,710,237,864,724,996,068,151,650,163,323,
362,964,197,380,805,212,539,451,632,621,717,209,966,728,012,029,032,092,334,
757,443,284,263,794,000,609,005,317,875,582,978,398,815,948,591,165,836,182,
834,637,702,842,860,866,441,663,671,838,704,887,999,092,358,970,321,630,777,
195,478,737,568,009,180,278,900,535,499,857,081,727,009,088,911,781,970,724,
826,671,129,313,622,481,895,670,091,582,126,242,840,368,884,331,872,168,744,
511,242,749,353,324,651,953,208,098,564,481,312,516,399,577,443,642,371,018,
219,119,740,319,303,321,257,550,708,386,067,022,352,513,717,061,621,353,612,
369,356,333,034,404,257,808,770,962,885,871,517,835,785,009,331,439,180,848,
590,563,315,025,659,821,857,097,594,856,326,926,280,120,416,059,417,449,424,
585,714,408,945,719,549,531,514,613,976,736,238,038,835,605,046,940,170,138,
201,156,265,271,140,389,360,091,247,897,305,566,837,448,667,780,535,363,231,
998,443,147,046,332,909,148,209,161,298,292,353,168,350,071,723,945,104,519,
862,488,406,547,743,567,800,574,930,755,568,611,068,740,752,679,055,860,206,
773,882,129,490,664,784,525,200,222,789,992,215,146,457,007,478,406,646,100,
998,961,366,023,609,015,855,246,224,872,216,659,012,967,094,690,397,378,838,
828,902,240,370,248,733,718,190,345,012,023,738,896,155,892,496,233,731,289,
264,959,111,089,451,106,655,191,275,836,451,139,985,211,089,834,875,824,887,
004,122,293,032,136,580,028,505,390,548,077,443,698,054,250,028,289,102,578,
416,539,615,945,713,681,408,596,627,317,929,125,171,718,345,816,495,564,101,
558,502,866,373,918,892,654,804,403,730,101,520,327,183,198,775,169,755,808,
924,270,746,347,552,282,837,771,795,163,653,635,872,914,809,476,716,924,178,
295,528,129,393,848,048,170,180,066,363,593,379,616,216,302,324,399,904,211,
348,097,501,912,496,133,753,335,799,826,695,533,545,471,465,239,406,823,370,
740,703,239,277,507,249,318,685,122,357,054,035,737,592,130,362,926,828,726,
962,954,996,179,476,381,668,262,101,272,798,811,876,492,229,104,649,105,632,
065,597,679,232,527,215,593,338,867,505,545,710,217,213,985,789,221,616,692,
473,764,677,198,481,474,074,951,612,461,063,394,322,486,082,820,626,776,665,
633,587,581,181,148,607,812,976,525,801,057,844,629,613,580,977,941,831,051,
286,956,196,542,799,152,444,413,897,326,167,289,333,887,288,532,647,603,353,
847,919,031,266,777,350,483,892,519,131,322,263,394,019,800,664,319,320,100,
875,795,414,568,802,245,363,947,012,970,028,822,511,916,838,448,713,856,904,
329,506,661,219,884,337,883,019,861,765,072,972,233,836,271,666,138,912,783,
349,349,220,323,541,275,597,486,135,842,909,819,069,416,160,232,193,999,305,
372,472,129,601,751,278,541,809,496,065,171,253,138,483,971,760,129,705,806,
197,455,187,445,129,871,034,092,481,924,100,994,661,188,650,281,987,010,172,
550,842,941,588,544,336,578,588,601,457,631,508,879,329,558,491,366,357,579,
428,926,325,754,603,178,135,978,744,362,527,634,455,708,011,171,500,114,437,
565,852,730,018,806,354,214,890,689,674,360,825,737,005,633,843,308,713,556,
933,135,893,342,556,660,271,725,976,297,401,063,535,807,158,215,943,816,184,
471,192,603,786,982,148,249,618,007,150,742,695,205,375,981,575,524,145,656,
055,009,465,797,883,617,253,034,559,896,639,032,194,772,123,546,955,266,974,
857,406,689,709,886,449,485,930,838,410,216,244,707,320,149,631,154,947,406,
505,614,850,102,652,028,987,588,756,648,810,515,050,140,594,011,412,211,027,
820,945,114,004,831,371,524,244,023,159,511,634,336,992,566,885,540,099,426,
913,263,932,127,577,180,447,247,230,951,903,084,626,167,845,222,593,600,618,
448,735,882,821,111,019,846,236,737,696,858,385,616,303,229,165,789,388,333,
437,359,411,739,577,526,919,144,315,657,594,020,636,100,367,823,744,907,214,
073,056,998,096,178,721,577,566,292,943,063,765,882,546,605,639,978,834,932,
366,611,146,104,836,848,383,555,314,016,493,028,331,194,446,204,406,692,799,
116,644,544,023,277,113,699,260,949,451,726,181,152,281,186,312,110,431,221,
850,211,154,479,727,040,815,222,331,323,675,480,045,495,668,405,704,637,218,
001,514,824,235,030,584,918,820,386,632,464,121,533,652,387,221,051,859,503,
568,721,842,880,533,180,696,174,830,126,441,128,195,829,593,117,515,929,437,
825,856,825,449,864,980,765,936,425,101,083,735,875,861,984,744,036,353,689,
087,897,650,526,017,949,052,820,784,674,832,266,892,443,126,374,937,218,803,
545,699,007,517,589,637,358,108,301,059,174,626,593,467,479,927,862,613,862,
288,867,703,676,397,910,352,454,100,935,491,121,798,793,359,234,798,379,535,
084,940,950,903,848,381,372,071,914,267,023,749,320,441,178,761,909,281,605,
363,235,147,786,322,289,627,915,030,601,449,405,901,414,857,426,417,385,461,
251,629,219,545,241,484,825,686,239,163,959,353,675,465,210,058,670,494,665,
869,500,986,491,619,610,805,325,213,856,372,624,693,672,713,686,427,097,534,
138,661,360,040,106,030,309,205,348,075,855,455,299,446,312,451,952,560,580,
565,222,082,045,458,105,304,315,880,102,047,321,398,558,765,969,294,417,489,
273,846,540,623,112,915,318,136,478,885,767,520,671,890,068,105,336,462,090,
136,934,470,849,082,709,434,276,039,822,820,518,949,706,827,547,289,349,346,
500,768,635,695,727,147,886,817,289,475,472,939,833,644,025,059,339,569,982,
380,885,762,068,591,185,799,934,231,151,772,697,227,338,170,002,065,757,711,
319,786,170,077,441,674,977,151,781,877,802,850,691,869,047,232,772,095,588,
762,665,619,701,001,090,249,366,965,260,387,251,817,757,788,577,187,858,921,
727,524,236,125,089,478,695,374,863,670,079,626,003,923,131,613,287,517,968,
515,675,020,500,948,637,445,459,421,842,536,201,410,981,030,760,230,284,126,
102,034,479,736,275,287,082,310,312,336,692,146,450,123,536,369,404,355,256,
123,825,251,059,766,127,555,037,274,160,792,006,451,147,138,502,690,737,429,
173,087,080,705,898,449,439,991,163,643,200,385,260,272,761,890,900,618,872,
038,465,308,681,594,608,111,552,623,857,450,565,057,361,778,747,737,837,326,
078,985,371,957,829,738,392,209,738,844,769,806,246,835,984,875,013,211,563,
750,346,418,458,901,778,566,430,046,367,690,944,713,708,031,488,332,917,744,
891,889,616,071,377,002,263,604,939,107,650,303,760,342,650,963,740,170,404,
083,048,558,538,599,358,083,315,413,323,287,028,079,096,211,685,415,617,744,
923,836,980,484,654,787,223,587,095,632,934,554,999,553,192,384,013,243,180,
445,954,282,497,880,163,495,568,507,723,205,445,916,020,146,913,496,725,715,
652,407,381,354,537,226,923,040,043,984,761,040,658,185,564,556,685,493,756,
871,460,724,466,226,087,267,910,411,199,781,992,342,896,833,103,715,623,424,
633,838,978,499,117,918,178,532,448,453,999,121,451,632,564,436,670,769,761,
243,491,429,275,395,192,832,144,089,079,311,780,885,888,443,774,941,054,802,
256,184,718,883,469,805,448,539,722,781,733,969,198,615,421,287,199,066,972,
831,149,235,284,864,546,253,110,101,104,581,042,650,635,781,574,785,679,937,
957,281,814,366,061,515,183,470,103,914,373,961,187,926,720,604,278,311,900,
421,347,813,735,067,032,616,521,489,614,756,431,246,309,491,611,692,343,732,
669,035,724,417,431,719,542,971,718,523,998,658,897,074,888,939,003,209,609,
439,474,304,096,977,647,459,953,734,769,698,201,780,788,268,189,997,920,909,
500,074,285,447,595,858,706,829,913,546,742,464,177,194,525,637,015,330,950,
183,208,882,422,578,742,783,023,233,963,980,993,409,558,094,773,549,200,091,
953,765,588,116,882,295,799,793,410,276,438,221,926,893,895,196,333,574,931,
451,504,205,846,195,538,443,252,958,587,477,209,470,201,296,365,899,616,230,
929,360,468,022,864,556,544,791,924,174,319,849,205,373,498,940,625,445,765,
092,452,571,868,423,573,328,006,829,790,543,435,825,298,493,894,393,948,149,
440,269,596,058,559,285,265,820,748,987,344,377,115,767,797,275,265,931,620,
914,641,228,884,668,115,969,135,083,759,958,028,706,417,744,543,376,587,513,
787,521,614,832,493,590,391,132,277,014,673,395,567,400,553,681,384,442,801,
523,535,692,164,061,203,094,169,505,090,541,451,433,545,269,467,844,150,307,
843,409,963,620,203,712,470,964,470,700,684,803,559,574,995,530,787,356,425,
154,161,885,291,016,275,913,062,090,609,821,105,403,853,685,909,720,597,732,
717,403,608,119,288,422,062,566,219,394,245,722,190,494,489,290,437,591,554,
390,728,728,870,262,364,824,210,567,739,934,749,488,505,554,146,680,138,872,
378,561,720,275,251,080,534,735,576,132,642,242,009,674,073,721,101,326,420,
187,958,101,950,108,307,981,330,501,694,219,598,273,287,565,303,406,312,838,
843,606,850,608,871,011,555,183,723,852,274,796,297,384,584,143,676,043,651,
165,625,148,411,689,291,556,924,980,335,982,134,337,431,237,810,460,350,611,
926,606,607,745,782,146,238,863,933,950,272,769,198,770,221,733,895,291,203,
061,677,259,021,525,631,676,767,929,243,661,335,547,555,604,703,948,830,335,
466,087,584,383,951,908,895,048,313,101,724,255,462,610,133,361,877,125,866,
555,783,866,108,285,049,655,261,760,956,464,119,459,063,731,676,802,005,336,
612,249,006,065,539,707,489,793,471,800,618,966,796,806,629,285,466,373,478,
326,084,292,939,659,404,759,533,965,830,091,764,791,839,874,228,602,387,535,
101,220,217,278,430,619,541,299,553,328,626,439,294,970,064,804,221,770,951,
363,115,272,016,691,012,424,245,446,784,670,016,740,161,618,411,653,453,739,
546,914,481,503,003,489,057,405,911,086,491,377,754,295,546,725,139,613,081,
000,967,555,230,371,481,610,853,814,559,100,916,636,401,964,494,328,106,480,
593,757,243,015,641,652,720,378,417,501,681,791,250,933,255,141,527,955,979,
481,400,019,758,392,921,024,925,818,434,833,745,641,081,704,809,543,888,294,
806,752,274,609,536,598,643,100,372,736,435,142,641,072,530,151,158,258,651,
702,703,455,660,661,666,760,602,966,750,517,007,628,666,205,493,003,962,196,
972,709,632,091,600,688,173,999,446,506,271,275,279,716,742,949,443,237,570,
613,828,443,153,336,332,400,385,622,696,490,896,249,729,509,260,754,785,532,
245,337,814,669,967,406,847,299,720,804,723,593,814,638,535,898,599,390,546,
880,851,731,165,406,470,022,338,955,244,323,696,718,371,245,372,466,866,499,
886,099,118,033,377,883,862,567,858,684,290,259,899,329,447,130,616,982,957,
353,939,786,573,282,113,405,754,584,820,492,890,551,391,647,022,563,767,973,
865,418,980,546,546,918,911,212,329,000,830,211,225,282,706,739,505,798,523,
864,558,556,632,828,465,256,280,733,652,728,924,889,343,442,523,865,099,777,
291,539,612,856,400,741,544,224,281,053,705,829,358,904,209,039,463,639,365,
316,695,116,588,905,307,407,700,036,429,881,362,086,649,685,060,549,159,923,
699,424,783,092,844,276,998,027,728,404,709,086,941,513,650,013,840,586,161,
945,013,177,373,037,621,377,960,267,407,071,107,094,536,740,412,424,781,057,
765,280,227,204,783,943,823,815,838,365,548,677,689,472,390,800,744,222,238,
685,329,247,226,905,355,747,625,137,400,466,241,357,271,583,967,105,317,756,
109,086,172,079,617,509,639,367,306,701,166,708,375,857,309,694,590,772,750,
278,741,746,469,332,920,415,108,582,179,141,854,817,589,574,443,709,212,487,
978,947,371,331,665,445,580,278,828,008,252,710,723,112,076,226,449,728,976,
257,560,270,273,554,662,422,774,307,575,895,527,120,020,633,528,260,488,378,
208,401,888,993,164,198,122,088,334,797,593,054,780,347,909,450,312,644,895,
130,988,076,947,703,784,224,218,921,951,385,843,387,546,926,210,400,659,391,
098,581,812,854,572,944,634,205,756,646,915,981,313,331,393,211,377,859,588,
118,882,514,563,525,877,828,494,324,496,749,911,438,466,000,361,325,490,656,
724,887,864,184,443,990,792,091,095,766,264,846,460,485,968,942,018,134,528,
909,233,476,006,415,205,872,726,210,100,714,745,579,906,679,589,910,120,657,
179,280,472,857,516,969,347,283,143,485,962,271,426,089,525,111,504,521,749,
725,598,318,664,330,763,575,888,833,490,438,378,508,207,257,226,930,370,969,
863,054,531,171,695,559,523,484,008,552,304,729,001,664,569,297,937,402,768,
255,948,477,336,036,563,671,900,426,535,613,592,339,277,778,013,950,640,246,
735,131,414,547,702,268,021,619,213,456,308,816,392,156,762,705,599,182,653,
841,009,425,081,734,053,330,187,160,128,815,189,011,846,556,901,971,440,890,
635,046,250,583,793,385,903,836,449,163,449,282,417,977,629,236,902,259,307,
988,190,576,059,989,658,784,347,348,514,605,837,541,499,040,832,961,972,323,
901,731,913,331,855,461,062,648,944,174,702,527,526,069,408,796,033,179,381,
145,187,943,589,985,717,336,902,584,180,611,919,875,307,915,758,956,487,102,
229,536,148,179,236,193,092,876,645,590,969,848,862,499,336,448,027,393,512,
943,813,628,065,545,459,051,237,090,216,553,377,682,338,122,910,244,628,043,
877,307,009,588,800,024,274,476,422,346,399,787,012,906,679,865,724,462,011,
791,590,365,322,782,549,300,530,806,379,002,326,882,001,247,971,559,094,307,
443,678,653,917,773,528,502,999,844,821,258,872,686,508,360,531,009,922,109,
665,055,360,829,094,334,738,876,272,025,266,574,159,923,220,688,956,302,467,
207,065,890,518,391,983,663,335,577,531,828,263,664,977,864,070,413,129,985,
388,221,720,119,759,153,321,673,254,181,338,647,642,595,390,126,866,538,312,
117,415,118,125,588,470,450,045,388,648,686,199,346,335,795,618,824,004,425,
692,454,146,203,225,818,875,598,100,696,184,383,326,509,585,000,686,795,702,
140,049,088,184,176,307,689,113,744,131,816,814,017,059,326,684,905,211,878,
515,599,872,409,984,741,751,101,639,912,431,326,126,551,190,272,986,464,337,
028,223,466,263,371,142,387,016,372,351,138,165,782,507,045,467,178,727,804,
926,288,125,336,982,185,762,506,885,875,278,646,447,234,259,477,529,467,576,
179,041,677,027,153,918,855,233,132,690,866,464,810,163,895,346,554,613,130,
274,206,120,135,403,217,046,566,194,131,711,998,255,635,449,125,429,170,702,
275,832,665,459,051,892,686,332,648,389,737,828,761,673,707,747,685,153,623,
983,210,621,624,288,478,509,755,604,454,352,853,497,767,043,066,023,353,732,
502,512,642,630,398,418,847,935,899,225,514,225,622,034,638,122,242,305,246,
014,536,137,591,598,388,731,102,879,742,802,445,132,890,094,930,106,648,461,
839,204,017,474,738,071,594,447,387,216,363,851,560,186,962,088,909,603,942,
800,747,102,251,020,021,213,983,864,473,221,319,427,080,016,946,824,821,021,
244,553,842,197,458,317,521,637,078,829,037,089,012,667,744,944,035,438,947,
713,696,643,481,587,068,508,176,629,488,490,437,275,731,276,515,385,043,662,
059,009,165,925,011,490,212,831,573,764,521,718,562,338,463,266,159,665,126,
874,037,834,501,210,597,483,170,808,867,885,209,103,368,486,189,546,092,435,
654,020,547,837,810,132,349,259,361,270,307,518,929,537,420,718,613,698,108,
594,376,822,904,556,754,482,258,728,982,305,056,832,318,695,171,648,017,778,
470,912,458,739,894,414,608,016,926,742,881,916,397,854,634,482,191,265,208,
377,908,158,260,119,720,231,369,540,469,752,779,552,126,237,674,278,635,252,
435,986,939,034,382,664,167,535,682,684,438,273,980,578,648,298,325,085,034,
159,635,103,762,656,972,868,225,742,597,070,383,109,118,929,475,934,151,681,
090,841,644,979,051,838,528,122,333,927,697,796,891,985,587,570,868,486,734,
986,182,168,578,879,727,901,814,513,961,995,832,395,755,896,800,719,969,082,
899,212,784,660,569,827,221,164,982,425,875,406,593,886,239,835,115,389,023,
612,321,803,721,467,489,845,353,621,782,476,805,914,632,184,087,973,279,420,
662,339,137,244,552,816,619,675,396,021,477,668,981,691,794,013,408,507,534,
135,587,346,616,251,335,347,651,766,803,707,258,653,941,738,886,711,733,579,
214,202,658,096,195,402,698,037,578,302,172,351,488,166,679,358,908,874,095,
887,000,316,606,652,148,993,576,446,588,027,358,401,100,551,830,467,471,308,
017,338,307,008,193,223,867,033,719,508,061,888,518,702,944,322,452,805,975,
337,166,548,263,038,796,867,923,171,286,758,038,056,280,942,874,406,715,174,
510,824,473,664,708,140,844,196,683,690,834,606,753,551,847,185,251,042,697,
942,277,361,452,983,416,166,382,140,166,837,685,073,403,895,464,856,515,146,
835,945,852,788,154,697,458,827,864,832,572,298,024,066,786,721,026,462,424,
013,936,361,347,535,000,964,025,309,566,322,977,424,366,456,576,127,055,692,
296,369,324,421,372,801,707,518,186,640,863,664,282,900,066,661,837,952,244,
518,479,605,300,932,160,625,044,380,792,431,948,528,172,515,343,858,364,808,
626,606,187,728,519,450,957,508,812,159,450,600,954,789,023,176,663,400,947,
312,282,818,126,580,163,858,275,300,491,593,483,503,131,089,637,639,683,530,
244,844,485,545,090,362,098,775,727,063,455,265,432,738,338,655,234,831,720,
460,301,601,978,057,964,042,747,031,279,843,212,131,458,851,255,291,017,421,
519,271,671,522,511,151,652,866,932,105,023,857,547,008,205,784,060,336,261,
157,421,508,613,256,694,931,920,462,024,503,169,248,996,088,283,290,324,182,
356,885,847,457,197,214,298,237,084,190,442,494,819,040,600,695,330,004,961,
379,274,495,802,119,118,889,285,647,221,706,050,519,097,533,646,854,126,195,
840,404,896,170,696,200,817,926,485,758,213,047,486,408,223,388,834,159,456,
798,434,372,459,607,795,213,040,895,096,260,935,287,920,105,569,125,463,597,
983,372,643,191,556,401,375,316,257,556,190,061,019,647,097,187,430,904,852,
947,191,166,181,233,749,282,662,909,661,466,825,649,973,860,274,703,644,124,
571,199,921,102,519,114,878,017,143,009,863,775,231,707,304,291,987,403,129,
959,641,232,940,288,533,199,024,909,772,270,512,612,322,410,725,761,503,330,
191,833,336,763,659,581,534,546,906,177,076,348,600,301,022,219,481,901,377,
017,810,662,102,687,765,431,278,362,779,605,149,111,149,871,207,392,084,937,
584,744,545,456,435,224,062,084,758,980,598,156,677,486,460,860,636,489,560,
771,095,688,718,223,758,170,659,350,423,232,274,720,603,261,626,941,667,214,
549,044,794,437,023,969,025,579,379,373,018,050,158,983,983,952,993,051,635,
352,034,321,730,997,616,501,079,737,775,191,210,693,695,033,046,320,579,834,
032,974,497,118,017,604,118,026,779,691,008,919,669,130,984,120,335,741,319,
347,014,920,465,285,453,589,542,283,395,406,117,879,733,787,985,990,071,727,
426,402,933,642,461,560,600,775,834,131,505,889,718,141,834,401,553,348,187,
293,689,596,994,892,866,222,507,070,274,909,743,862,080,049,415,675,528,681,
702,202,699,903,415,857,734,096,627,539,616,638,142,825,625,590,627,368,129,
943,460,330,407,349,468,090,333,731,040,933,803,337,906,740,137,228,518,159,
543,703,225,834,110,799,767,609,879,313,806,310,496,647,855,241,037,603,250,
535,212,801,869,951,062,791,183,055,313,276,772,185,008,641,357,747,698,763,
873,479,090,556,177,648,236,966,736,210,337,861,236,180,587,849,019,573,900,
822,655,358,786,245,280,191,481,128,797,419,727,538,490,878,462,730,835,776,
936,226,709,473,600,020,580,624,722,026,988,546,249,652,647,973,577,734,481,
739,481,766,392,158,558,692,155,119,055,464,714,151,365,490,619,799,481,835,
256,124,095,961,699,752,883,812,732,339,176,298,190,593,004,931,735,528,758,
109,934,919,832,207,887,317,222,668,634,776,007,352,857,215,077,882,219,847,
436,076,240,579,548,191,339,784,155,233,017,139,976,402,345,829,068,114,650,
301,246,708,456,218,491,229,429,618,008,536,076,376,187,758,991,755,289,764,
670,666,941,047,963,707,888,542,357,234,668,233,487,082,573,315,716,058,259,
207,826,932,055,304,419,377,430,791,736,792,428,204,703,104,927,186,328,737,
974,748,400,816,950,341,467,052,425,253,587,677,247,612,405,337,578,701,913,
757,199,155,370,948,952,859,812,557,680,634,964,403,701,601,996,337,180,327,
558,324,372,792,657,050,026,440,325,034,759,820,983,166,445,941,700,863,146,
226,699,769,234,537,766,282,517,824,791,023,976,710,539,641,924,773,789,288,
852,400,489,753,696,414,993,381,206,389,587,315,685,626,862,455,803,653,281,
897,516,875,263,923,276,612,308,744,978,049,919,204,701,787,395,547,872,936,
938,332,576,726,250,195,372,422,512,824,657,527,810,545,843,163,644,414,735,
005,351,394,436,932,759,952,764,654,749,744,628,057,749,474,959,347,442,952,
126,685,875,718,629,815,621,718,474,048,299,961,532,111,545,154,884,368,723,
697,041,197,950,223,422,288,448,140,433,114,294,913,329,358,299,885,468,128,
071,995,517,946,027,869,488,853,448,042,239,329,540,996,041,203,637,998,135,
539,188,047,032,448,758,176,788,306,315,671,491,095,993,815,327,409,258,603,
234,109,132,170,543,349,116,864,239,607,388,478,154,083,842,030,087,794,022,
041,072,459,689,354,018,308,078,388,012,062,840,381,073,574,147,376,520,470,
044,197,550,242,199,031,641,739,196,004,883,504,086,561,538,089,016,653,322,
019,818,697,152,460,726,885,008,375,818,581,630,613,792,612,274,553,926,663,
619,137,813,284,299,654,225,414,536,019,326,282,547,768,597,556,832,425,374,
238,903,393,616,791,023,080,626,326,619,232,629,617,665,975,403,357,834,633,
122,209,857,845,871,317,928,705,624,777,285,076,039,169,609,291,326,773,353,
823,395,258,204,523,960,882,607,827,407,116,468,010,049,898,690,470,305,997,
237,564,482,021,051,442,209,216,152,527,506,131,888,697,423,165,704,564,453,
703,065,673,103,533,968,461,819,921,258,175,886,726,707,049,285,406,696,351,
074,306,603,723,759,188,489,515,932,381,480,148,764,332,299,217,729,426,397,
317,288,967,597,350,390,932,170,191,947,226,874,246,395,895,893,548,672,661,
747,793,498,733,519,195,852,938,405,693,257,613,648,027,999,986,731,098,684,
584,832,323,664,921,681,781,335,988,151,552,027,714,082,462,649,914,265,563,
133,412,250,968,550,670,971,289,811,302,370,979,004,721,751,796,023,223,004,
618,941,736,269,939,277,942,760,681,179,207,926,992,401,303,647,574,253,504,
129,613,323,414,556,194,554,458,062,321,677,841,817,901,323,769,045,903,569,
907,312,190,039,123,710,110,128,477,203,005,547,930,231,441,757,004,207,921,
084,822,000,735,378,702,063,566,424,426,075,789,591,617,723,517,369,864,763,
168,943,730,180,065,025,290,462,835,412,270,999,121,073,570,114,459,099,343,
300,963,780,517,466,769,541,814,307,810,295,349,032,014,778,626,844,517,576,
443,851,764,506,225,243,223,564,226,453,722,350,304,286,524,268,722,720,780,
893,257,193,440,103,581,833,275,013,284,805,892,395,169,386,363,144,883,708,
775,141,908,996,790,689,756,876,946,435,123,766,971,181,988,549,554,518,324,
826,609,799,794,335,790,122,066,474,449,987,702,259,266,087,237,996,430,099,
538,788,818,838,085,917,326,317,144,192,356,813,745,895,746,486,775,342,880,
362,937,838,635,387,776,018,408,067,201,753,757,336,456,506,489,598,394,682,
066,799,321,815,397,391,019,533,173,670,088,854,257,095,133,830,288,841,390,
530,114,944,271,809,233,940,835,396,822,069,807,481,186,758,415,582,141,540,
227,124,320,220,449,469,068,327,338,213,403,447,862,403,872,424,919,046,210,
786,627,434,116,201,312,979,567,968,259,121,136,649,367,336,160,201,406,818,
751,681,711,529,233,143,569,266,427,697,750,828,237,882,964,589,136,155,530,
285,722,971,669,757,166,371,514,742,231,378,004,278,389,521,275,368,879,571,
930,077,249,312,035,641,203,586,830,136,142,707,029,430,490,327,032,313,144,
175,856,896,765,147,848,033,196,623,770,196,686,434,570,514,493,273,509,188,
036,980,841,951,534,613,043,814,262,009,251,350,269,321,048,649,101,618,349,
799,955,549,574,155,522,872,699,732,634,295,214,367,575,246,525,323,864,361,
723,539,040,140,802,722,875,412,036,064,428,626,566,305,676,657,165,388,421,
366,982,816,473,758,979,034,472,541,891,026,560,245,660,930,316,781,935,660,
091,674,318,215,269,032,738,802,598,114,504,236,336,474,412,966,968,361,898,
630,996,561,784,245,765,988,692,150,880,976,804,085,303,507,366,912,645,757,
085,137,286,837,750,298,204,525,719,262,222,308,247,134,401,770,045,756,541,
174,437,247,909,901,672,344,052,058,526,651,849,941,017,796,495,685,409,924,
217,140,203,084,134,299,696,506,102,417,245,386,207,379,859,534,633,862,288,
191,612,170,243,663,322,476,641,620,626,044,833,802,968,479,830,315,119,672,
765,785,294,501,351,387,029,533,098,266,243,749,906,372,804,616,083,078,223,
732,987,910,646,450,091,772,113,945,770,249,630,463,054,345,486,742,002,437,
664,487,962,611,489,374,720,058,819,789,797,091,226,768,599,716,495,927,652,
356,042,477,678,706,076,144,875,484,497,052,660,214,599,616,060,731,989,212,
195,854,222,738,254,496,062,702,858,034,416,462,388,619,462,404,400,416,828,
676,948,944,317,940,761,095,664,510,386,616,582,438,740,734,248,340,365,048,
574,902,349,519,746,122,587,287,080,676,056,654,409,213,850,178,393,343,488,
193,793,651,202,697,794,530,674,386,276,743,622,139,551,518,855,680,362,655,
461,274,385,680,336,326,514,745,441,924,841,298,333,923,362,991,403,127,048,
516,996,424,577,685,340,427,372,272,175,921,652,071,347,070,415,392,606,832,
164,371,806,246,727,318,219,901,814,484,206,787,337,077,231,874,802,751,924,
803,638,815,307,234,300,891,655,593,313,491,343,186,364,218,397,154,515,820,
054,459,113,208,758,312,615,537,128,638,249,728,087,662,971,608,225,872,624,
977,283,600,349,764,342,971,441,474,794,077,786,984,403,533,031,788,117,093,
102,760,026,061,409,039,848,721,565,219,869,337,123,020,354,248,920,920,354,
380,934,391,978,447,493,369,760,211,832,639,618,841,449,256,222,835,604,553,
893,894,843,079,364,763,577,140,624,010,642,296,714,299,086,942,138,417,438,
732,226,180,158,899,809,306,436,249,835,387,169,180,724,134,706,108,702,746,
882,440,145,313,353,797,726,063,942,376,709,422,997,572,470,015,780,789,724,
683,786,035,494,095,467,690,366,085,907,768,466,627,987,878,708,778,151,326,
484,601,316,431,879,028,061,210,936,453,043,649,087,180,889,940,590,384,945,
742,715,906,879,399,773,338,406,367,115,663,520,191,577,931,755,019,753,431,
756,668,514,528,151,392,328,697,209,451,678,746,884,004,823,008,265,849,794,
341,911,523,207,493,932,554,722,968,762,600,133,318,203,841,534,749,932,020,
176,053,506,321,157,754,392,541,411,684,242,824,049,045,282,448,660,619,374,
511,654,821,474,666,197,896,000,996,819,442,775,034,005,046,870,245,471,528,
319,184,371,873,071,243,682,620,657,002,192,504,913,640,093,969,628,973,476,
583,039,329,188,418,557,361,570,762,109,843,387,253,211,006,999,429,386,351,
449,340,137,379,065,481,700,495,111,607,575,662,046,774,414,490,989,841,860,
396,026,780,315,638,594,606,414,911,896,562,698,682,744,567,911,965,718,449,
416,754,243,303,357,887,202,330,260,848,947,814,516,392,118,735,766,716,275,
425,644,751,977,697,547,873,596,735,974,629,624,144,711,832,232,089,280,420,
526,758,036,082,862,882,972,955,407,274,591,020,518,588,957,965,463,285,045,
678,868,101,526,581,919,520,833,888,164,794,134,247,967,817,668,711,213,053,
155,192,617,287,465,641,502,913,182,228,080,658,449,498,935,465,810,442,613,
625,765,889,535,759,482,324,421,403,940,152,521,656,918,813,980,114,210,693,
184,682,213,320,289,682,871,785,052,844,686,431,434,666,774,599,503,235,317,
556,984,009,399,481,854,764,591,054,198,096,674,055,321,576,542,140,334,175,
988,202,312,848,557,818,911,925,076,677,299,735,116,524,575,144,287,265,492,
958,438,153,265,545,685,773,516,909,525,575,696,440,568,007,901,356,460,890,
699,987,334,595,657,731,000,582,587,464,065,507,326,795,867,368,379,300,817,
128,126,756,795,124,048,716,670,426,049,102,787,085,862,416,237,469,202,116,
293,059,375,488,466,228,180,901,103,143,063,751,934,367,431,654,887,909,460,
672,290,896,170,618,824,773,275,184,321,058,369,151,155,615,686,723,746,366,
512,944,287,113,125,793,670,393,588,162,658,764,234,752,213,696,477,146,037,
477,658,089,841,383,292,372,682,563,549,685,191,295,891,381,236,196,874,086,
824,572,987,767,696,107,394,173,693,146,772,695,535,222,231,256,994,897,207,
343,376,873,428,627,473,579,840,393,403,453,150,641,313,044,472,509,726,041,
886,314,571,309,550,994,395,728,179,159,921,741,032,259,062,489,835,733,677,
096,496,746,267,126,043,507,251,590,381,576,897,890,693,100,112,988,287,900,
474,116,072,800,640,196,653,959,841,826,582,315,672,124,830,193,771,019,765,
046,685,886,495,114,860,601,046,647,713,121,112,155,289,240,301,129,854,222,
690,487,635,301,414,278,492,996,425,271,325,295,436,534,938,738,292,484,596,
331,464,890,825,750,068,458,889,755,845,420,153,574,690,627,633,080,247,991,
749,523,557,543,836,316,628,314,760,684,735,355,248,371,473,592,960,328,602,
063,239,292,469,672,271,915,638,304,167,826,659,243,615,692,170,537,366,797,
386,446,762,537,201,246,212,499,882,811,152,118,010,222,270,956,098,281,372,
195,550,150,134,499,622,255,023,597,448,863,767,838,015,867,932,337,728,765,
403,622,304,907,042,833,399,268,931,030,323,129,296,601,629,301,355,847,961,
154,876,554,090,202,725,845,884,991,600,961,224,993,793,509,222,942,937,169,
500,187,336,727,379,737,097,201,389,729,106,332,643,388,873,087,386,081,064,
482,721,950,524,102,862,727,785,472,878,767,996,017,397,510,642,508,185,214,
452,542,006,347,483,489,124,613,464,795,796,987,778,398,252,392,063,252,782,
570,242,574,987,982,383,307,946,095,871,946,259,118,059,270,169,050,394,244,
417,321,126,605,898,189,721,085,418,901,162,515,418,796,409,309,517,210,320,
419,522,519,036,600,407,442,933,128,961,476,561,357,649,136,708,150,152,299,
803,942,003,423,096,388,580,233,779,214,501,459,699,670,064,712,127,303,740,
156,852,611,322,109,156,728,989,325,208,572,878,995,878,010,044,065,231,843,
147,476,476,184,153,696,887,179,480,118,819,968,002,730,836,450,558,386,580,
430,911,476,932,096,350,101,626,785,700,723,685,983,572,005,018,413,272,733,
380,316,497,862,783,865,430,910,561,694,927,605,142,921,134,495,304,340,602,
240,057,706,546,176,304,172,958,581,734,718,064,302,407,973,357,018,839,060,
578,385,957,923,902,872,323,959,071,226,285,813,229,193,902,845,405,368,756,
083,991,925,102,183,842,654,214,769,065,778,205,311,473,289,242,522,089,881,
175,519,262,100,549,279,997,270,917,259,181,450,544,699,794,861,366,793,937,
485,216,449,281,524,024,107,416,404,815,279,781,056,315,262,372,469,454,962,
094,524,368,465,060,344,700,864,850,851,733,652,226,994,741,422,007,154,780,
499,269,860,017,965,634,788,966,078,961,489,181,036,251,736,105,683,645,643,
439,238,942,072,088,357,230,801,912,578,279,231,910,104,728,874,090,809,213,
887,027,278,592,117,930,834,110,854,756,317,621,183,374,189,974,198,706,558,
832,680,650,015,632,933,172,171,949,319,799,055,847,237,496,891,338,204,702,
487,914,121,871,827,026,354,937,828,130,987,606,869,936,903,699,088,542,137,
207,307,743,382,193,049,620,061,640,749,616,649,826,065,795,327,809,570,843,
635,528,859,033,009,120,902,770,885,089,285,674,404,888,182,615,086,815,627,
351,756,210,921,813,811,338,089,251,692,537,163,378,688,441,630,390,030,882,
787,678,311,404,869,048,787,635,257,747,237,677,300,815,723,684,006,088,067,
449,546,981,578,571,210,580,105,300,325,027,015,645,019,927,694,738,480,790,
142,578,034,162,588,680,743,025,195,453,136,805,946,879,029,353,645,757,507,
490,386,591,869,185,049,193,639,795,205,373,586,941,454,341,710,424,169,557,
058,663,695,140,913,385,006,476,997,938,373,817,317,738,758,395,232,217,683,
433,297,234,422,900,658,184,893,699,040,626,202,692,712,595,182,972,371,266,
227,785,073,271,548,211,968,806,553,624,196,396,188,571,008,566,373,322,445,
233,192,329,407,740,423,588,433,824,021,156,143,967,707,682,486,947,683,707,
906,148,035,167,236,206,376,454,855,531,155,856,664,871,936,290,087,151,065,
054,312,514,549,692,873,496,592,442,890,599,210,939,800,911,052,210,742,846,
304,661,313,389,999,029,769,939,730,714,468,558,439,197,215,629,404,785,438,
282,371,896,567,288,385,939,112,275,237,124,780,909,820,240,410,901,846,969,
776,867,728,117,456,513,581,788,393,326,964,003,811,823,125,707,610,662,331,
558,276,328,825,263,291,009,831,149,773,702,456,160,829,768,029,173,456,845,
194,730,689,741,396,224,196,841,118,155,418,960,360,502,365,821,348,742,237,
157,859,489,628,012,071,721,072,854,388,621,823,354,966,817,488,518,464,746,
200,538,850,581,956,746,258,290,904,152,658,732,809,108,618,045,575,740,016,
378,893,301,569,548,001,274,302,609,563,598,925,803,160,143,115,199,968,318,
589,432,094,452,861,422,584,566,677,342,133,558,052,034,322,647,408,465,339,
248,985,933,878,674,008,352,000,140,512,216,379,794,411,031,983,734,215,154,
571,705,125,906,277,017,772,543,057,350,844,386,837,552,790,433,509,127,503,
534,868,640,180,035,742,350,412,485,312,310,199,496,241,824,539,099,624,573,
711,312,529,851,955,775,166,027,116,354,755,324,547,279,226,573,461,632,786,
733,611,028,630,275,277,324,616,868,358,522,797,056,469,209,784,034,295,218,
237,328,622,686,997,166,477,405,269,505,790,731,998,055,760,593,326,987,398,
041,027,338,143,374,645,638,632,129,695,170,267,545,886,977,116,532,283,673,
784,160,433,398,750,102,098,684,500,110,894,548,576,882,609,126,734,451,384,
810,298,346,434,843,774,704,862,558,561,376,501,385,602,220,231,291,813,001,
723,394,235,939,589,030,137,129,642,838,494,433,132,685,229,961,232,370,436,
997,075,110,811,466,769,824,975,934,114,138,310,080,223,250,892,452,322,921,
133,174,107,384,675,562,247,164,000,705,125,782,047,530,633,501,418,940,337,
544,193,488,149,737,274,469,687,263,932,005,411,426,005,316,579,252,394,433,
908,815,530,140,384,633,095,307,219,010,566,300,853,505,773,098,791,828,289,
657,686,795,039,342,718,214,338,427,341,681,559,678,646,124,083,931,158,669,
881,719,265,225,987,533,903,024,863,060,283,620,363,836,489,979,121,613,629,
059,954,107,799,966,780,708,454,175,895,422,717,249,508,140,001,700,752,153,
715,028,954,824,707,245,974,306,024,201,044,438,031,432,576,514,586,539,360,
479,307,867,251,532,184,046,485,329,624,993,471,280,775,525,889,188,261,737,
408,094,529,807,240,916,275,252,094,345,578,165,995,266,371,907,861,774,754,
369,408,491,347,193,366,137,582,466,977,246,160,204,226,236,295,416,681,640,
303,089,390,648,866,273,466,645,644,075,727,915,632,169,429,773,587,728,780,
920,719,646,720,658,633,350,274,420,312,679,655,270,455,496,826,561,554,323,
315,783,675,950,773,548,875,722,673,105,051,369,693,674,785,332,882,367,404,
666,754,148,553,327,239,840,063,587,583,191,241,838,848,708,359,826,368,552,
769,957,116,273,898,211,603,872,981,606,567,337,989,741,344,388,257,317,254,
684,641,376,168,914,050,687,775,823,997,595,995,590,833,846,451,643,627,734,
049,625,305,310,018,682,281,464,869,108,613,963,385,225,341,069,148,051,364,
602,679,173,661,593,455,071,939,021,887,738,821,600,175,554,640,680,331,516,
941,692,748,115,643,045,558,300,250,828,369,947,281,020,622,123,943,925,617,
237,581,954,881,388,908,914,696,369,487,795,485,270,276,658,744,093,735,853,
013,678,690,766,856,675,176,081,445,758,831,666,088,512,138,870,969,758,573,
825,647,301,574,823,362,197,114,246,839,317,069,878,846,826,020,518,875,742,
648,550,257,382,649,311,742,352,210,963,149,901,655,288,147,378,694,466,866,
722,988,609,721,489,142,967,394,073,302,722,943,881,150,317,614,698,481,249,
162,783,603,893,884,390,512,954,637,011,648,694,880,144,520,650,600,326,151,
875,017,698,199,346,347,141,470,385,782,958,861,423,380,119,251,902,885,406,
966,888,612,483,588,336,433,563,694,677,532,961,021,003,901,637,803,930,803,
161,176,962,366,761,386,558,024,577,923,896,671,620,760,825,242,657,756,533,
922,864,627,174,182,402,944,696,404,057,498,123,016,543,742,699,593,161,573,
430,246,174,902,829,015,902,247,215,402,473,203,220,031,219,145,301,238,454,
679,799,618,430,967,968,213,537,902,780,718,512,535,040,521,164,549,286,288,
732,964,337,899,507,660,981,931,264,281,056,882,272,633,006,047,677,503,229,
796,676,516,669,336,335,242,025,072,506,930,093,540,756,110,323,367,026,253,
618,390,278,975,798,781,242,929,585,553,246,152,471,492,693,190,065,314,033,
066,060,245,505,488,321,282,496,671,459,133,534,672,173,426,198,473,941,351,
557,052,969,839,602,438,418,731,823,762,807,535,065,176,904,770,741,795,803,
134,043,989,481,486,615,685,207,862,740,597,544,435,507,739,405,979,071,251,
796,433,979,237,151,019,797,279,403,937,806,641,298,129,711,662,899,599,790,
552,532,639,189,911,504,648,403,052,077,339,590,944,294,363,401,827,373,974,
647,880,037,341,027,228,132,746,787,865,305,318,777,330,795,968,775,319,581,
543,378,899,277,834,297,922,406,802,321,784,809,265,786,270,373,709,526,646,
926,023,851,205,854,486,840,148,600,095,741,815,619,752,922,443,112,098,985,
988,975,217,842,325,263,159,942,996,567,800,367,476,390,904,668,876,322,029,
873,718,575,568,413,902,246,135,427,363,467,632,187,772,631,427,194,940,670,
431,424,538,472,654,171,309,959,999,580,864,999,387,260,104,611,939,594,047,
196,395,251,783,354,738,263,682,974,948,692,719,665,067,816,227,891,284,490,
473,043,463,564,100,366,290,973,565,709,196,550,561,271,528,845,984,323,476,
688,246,472,708,377,268,224,845,171,417,467,876,069,921,926,036,094,757,393,
022,466,383,034,471,656,798,859,578,273,590,411,322,087,704,997,364,616,285,
122,724,888,544,991,637,884,543,535,627,003,897,314,013,717,794,880,083,801,
834,010,770,098,339,450,840,246,877,882,715,998,953,551,233,886,098,424,551,
209,526,855,340,286,552,148,010,212,656,655,095,558,349,248,214,250,649,307,
393,837,818,805,082,122,851,040,404,849,542,010,186,140,913,557,112,399,556,
364,642,238,524,040,424,126,004,054,676,833,058,447,393,313,603,998,196,227,
181,230,736,272,989,407,411,004,673,036,828,064,398,515,825,476,311,011,744,
759,601,310,593,229,825,390,467,180,005,506,855,845,790,320,008,339,171,567,
363,306,649,257,751,460,415,827,712,994,480,761,684,980,307,403,339,803,507,
132,461,965,834,457,177,571,550,725,194,627,748,340,684,880,440,733,582,841,
166,194,030,649,469,742,043,483,327,426,406,050,730,984,499,799,718,820,202,
434,692,111,367,894,148,661,349,223,387,617,441,065,845,110,899,162,333,713,
750,557,534,169,384,054,155,940,036,543,036,747,031,667,645,633,390,196,636,
013,352,561,859,823,288,747,117,380,771,932,755,767,109,857,169,002,497,677,
621,260,056,852,320,910,405,969,198,635,845,273,720,827,033,663,083,086,791,
513,109,810,305,453,921,014,970,421,475,578,799,820,486,381,229,593,280,963,
951,502,289,108,921,172,523,524,321,752,970,076,579,312,656,343,722,820,033,
492,714,927,273,293,674,885,127,635,649,564,333,969,480,168,273,466,639,093,
021,347,704,170,828,592,102,873,072,998,862,823,509,024,983,539,287,407,038,
292,408,606,510,733,778,476,885,801,312,768,282,072,103,049,540,250,029,417,
217,314,281,168,434,540,195,044,741,078,527,594,158,166,391,449,942,419,828,
268,287,051,030,198,366,244,334,960,898,093,694,538,447,730,319,686,319,752,
380,353,715,289,363,934,334,920,658,152,439,084,929,176,335,278,552,524,884,
657,554,053,307,067,405,799,567,150,778,517,691,319,089,033,271,687,594,775,
996,014,763,247,304,038,178,270,583,484,947,293,258,031,358,407,620,977,708,
580,449,512,992,044,197,659,702,906,907,850,557,943,011,848,360,815,441,918,
538,274,492,932,135,201,101,253,567,387,376,056,737,056,635,373,269,697,182,
131,199,411,579,558,859,670,752,972,658,543,119,201,317,343,784,325,203,176,
174,961,703,155,165,249,951,215,561,516,876,891,744,129,874,882,295,315,330,
803,212,564,536,118,995,230,112,551,796,081,202,317,523,370,701,903,932,741,
751,561,747,315,344,279,347,819,702,505,489,261,875,304,681,832,398,009,543,
140,251,621,770,102,950,402,349,996,319,790,756,910,596,434,572,806,845,458,
072,765,160,274,448,178,917,354,293,562,694,031,251,327,699,631,342,521,163,
905,509,582,381,130,286,757,102,631,460,071,776,909,346,040,064,647,734,509,
917,922,602,167,559,688,719,496,336,460,432,130,139,069,605,983,017,064,815,
269,024,825,329,972,151,606,872,759,816,542,422,803,691,918,737,287,745,967,
855,488,214,409,633,478,680,724,582,391,946,707,478,085,723,677,268,393,198,
561,819,245,873,724,072,595,050,940,717,096,658,891,111,262,339,415,319,703,
935,390,224,141,978,403,364,182,041,078,553,688,744,789,669,430,050,212,908,
019,231,730,181,035,180,374,472,161,768,227,742,965,352,242,749,500,377,499,
717,288,351,786,717,410,004,653,982,287,762,010,837,916,512,888,241,537,059,
380,546,454,709,500,458,734,572,505,202,580,704,246,263,000,845,359,989,363,
623,100,844,147,579,409,942,723,685,974,764,519,617,590,336,847,405,421,409,
503,374,814,397,760,998,690,540,037,686,365,232,948,741,660,025,044,241,749,
211,648,968,273,745,831,836,233,970,096,641,347,201,341,451,939,862,141,291,
008,321,854,011,852,728,312,027,254,889,504,600,784,006,487,161,782,095,456,
121,021,349,120,521,771,982,111,952,379,656,804,156,988,806,456,520,635,745,
397,765,467,661,683,413,541,738,299,232,062,010,245,820,886,216,093,803,995,
461,664,057,272,024,265,160,235,191,899,148,263,163,221,149,622,462,042,123,
350,000,633,997,629,093,964,696,960,486,797,103,799,679,754,981,520,819,807,
633,781,439,560,275,715,705,865,092,029,704,539,435,325,941,224,434,315,150,
944,373,454,258,953,521,121,110,429,811,467,643,137,606,309,521,164,280,121,
529,530,578,189,194,636,921,018,184,119,648,489,647,200,704,583,339,671,665,
864,838,481,906,712,947,265,369,634,310,415,336,716,863,955,833,345,413,026,
554,049,246,525,373,168,507,575,054,307,702,237,570,439,870,492,710,697,554,
364,526,792,665,134,246,953,644,320,834,774,778,866,567,399,425,306,079,034,
913,311,456,417,297,076,434,307,106,469,614,419,867,607,904,034,707,132,316,
873,181,404,596,373,339,449,509,995,699,479,616,507,929,543,437,216,316,321,
488,633,489,411,206,506,844,816,948,369,177,356,148,672,392,829,326,082,223,
763,702,323,258,154,993,831,606,659,697,934,635,490,593,244,058,733,410,621,
777,752,097,772,216,073,635,456,797,090,904,425,734,418,273,446,053,361,838,
852,748,431,529,099,175,568,186,741,486,665,576,919,228,419,790,752,478,723,
526,850,966,937,924,496,597,821,591,049,428,866,244,218,048,284,457,263,676,
299,035,094,702,970,570,985,285,176,253,844,551,566,651,220,110,391,745,682,
109,515,767,499,164,468,488,385,001,407,055,164,667,979,208,930,870,215,784,
478,998,379,424,438,890,541,842,719,847,147,441,724,937,554,647,999,762,273,
589,588,652,692,142,794,477,534,934,509,576,604,651,580,710,860,452,885,593,
771,019,401,590,234,151,760,051,246,272,957,566,080,227,234,734,131,593,642,
350,559,707,005,767,526,331,067,560,823,222,084,120,984,294,326,589,855,328,
298,773,421,180,134,135,996,712,080,402,765,697,268,858,237,494,681,672,461,
454,997,902,914,842,678,331,807,870,465,267,729,925,815,195,061,363,813,634,
522,495,327,346,035,455,711,648,964,339,920,895,970,395,868,340,787,664,918,
160,979,181,654,959,370,875,524,410,840,250,453,010,745,074,277,139,552,623,
559,624,636,834,908,233,276,039,900,818,317,777,346,850,921,676,021,007,809,
689,274,361,713,960,236,034,681,897,847,719,009,493,263,415,723,839,722,924,
326,038,621,469,154,865,651,448,481,867,373,280,628,875,781,114,912,687,159,
102,692,743,495,891,879,818,279,508,480,892,035,503,317,920,116,838,028,132,
680,380,645,914,251,689,491,529,457,306,321,200,300,095,505,147,825,560,889,
988,922,133,889,342,956,495,406,456,328,301,763,725,042,316,474,063,166,862,
365,727,329,057,340,488,980,656,008,493,923,029,129,372,726,588,979,525,098,
372,336,008,357,320,454,653,786,431,318,740,463,846,123,330,188,969,520,499,
109,648,522,593,846,742,935,406,365,517,546,767,625,808,819,046,787,553,378,
846,944,059,761,888,344,002,956,691,072,227,566,693,739,337,898,987,739,988,
780,710,377,640,046,599,946,600,505,617,464,229,559,316,104,182,191,732,856,
903,121,797,516,583,051,304,146,500,233,464,146,932,120,447,666,573,403,114,
644,387,521,804,607,199,088,905,497,673,679,627,004,505,684,863,941,035,716,
908,999,625,315,287,477,851,512,960,261,568,922,523,587,523,843,421,536,380,
961,623,407,584,079,890,125,891,733,663,816,855,271,538,285,713,961,133,165,
962,852,235,098,199,439,448,762,468,107,303,330,227,662,249,311,932,527,419,
379,141,596,898,830,309,616,424,881,710,178,734,891,796,470,456,017,619,248,
027,740,266,635,224,615,174,785,497,356,497,241,905,822,900,655,157,746,053,
996,437,320,185,349,802,827,319,295,612,668,755,460,248,621,184,515,636,557,
864,928,608,407,795,981,696,749,501,151,237,670,997,567,997,157,665,620,658,
946,737,944,036,908,650,554,820,512,365,463,484,236,706,218,347,007,955,587,
076,160,641,774,931,548,725,943,824,238,770,119,092,277,555,652,533,334,210,
413,319,680,335,827,735,583,336,190,026,784,855,061,952,555,539,924,852,261,
347,472,152,007,130,834,481,593,468,303,271,023,868,837,707,372,736,153,578,
899,268,330,963,935,083,681,019,646,305,652,044,169,287,884,499,261,231,163,
073,130,633,109,525,017,655,697,965,205,388,340,531,335,691,476,580,736,165,
957,847,465,445,238,760,389,051,063,997,211,265,779,301,168,930,863,823,361,
812,757,332,556,537,012,325,183,416,938,397,125,523,352,668,831,119,460,469,
689,490,150,010,222,122,265,134,362,754,798,685,372,707,377,496,168,188,434,
777,818,153,082,347,432,068,859,050,727,435,191,771,895,445,287,456,823,813,
445,820,464,411,319,051,106,072,100,023,994,357,294,051,164,901,092,944,894,
117,865,369,185,535,211,374,228,235,566,757,590,097,774,383,271,405,480,139,
076,657,739,148,527,595,058,638,173,621,863,713,681,498,241,872,384,506,284,
724,662,372,736,486,771,784,558,217,426,360,005,105,720,234,144,421,712,717,
593,282,399,335,074,589,521,558,515,910,701,192,976,790,476,416,092,766,859,
378,622,826,156,865,017,732,097,636,065,142,123,816,897,664,715,372,798,770,
049,765,535,198,429,514,284,264,275,146,226,877,095,597,361,839,091,482,944,
267,424,049,833,729,260,480,785,703,941,193,076,814,904,530,025,552,381,103,
809,312,930,482,524,140,806,390,688,191,902,022,645,522,210,627,006,013,147,
312,606,360,111,670,267,196,079,020,746,589,483,640,097,767,187,805,898,796,
123,766,625,605,550,114,895,871,519,910,252,730,230,462,239,969,144,273,142,
168,152,092,980,490,834,992,597,280,774,998,697,630,265,373,897,393,318,919,
125,522,536,292,614,074,942,848,954,760,928,297,184,627,805,471,762,658,048,
722,321,241,677,820,955,855,079,897,720,294,519,923,711,716,394,303,601,973,
686,829,480,663,328,811,406,367,637,389,838,851,545,927,940,284,994,199,609,
607,051,042,751,924,263,869,734,077,189,285,890,352,361,786,163,911,754,390,
503,371,595,969,612,596,562,649,092,250,976,364,103,539,267,091,361,252,762,
869,276,005,491,107,781,507,803,574,642,046,546,430,252,793,183,757,905,858,
183,452,803,236,551,565,764,508,487,233,854,453,091,918,678,712,686,554,143,
860,571,315,479,903,912,948,997,296,351,182,844,358,758,350,553,501,691,943,
847,792,046,858,552,706,203,537,208,075,954,054,896,647,574,576,788,197,209,
218,564,425,600,147,363,146,776,603,471,988,228,435,703,583,657,104,886,181,
245,126,502,240,209,383,531,386,434,654,638,624,527,615,906,808,668,177,815,
902,222,874,303,013,641,858,574,576,995,060,906,009,027,509,602,693,362,361,
057,186,120,640,148,989,134,065,124,536,979,452,358,983,544,495,273,376,244,
017,299,069,741,676,572,316,647,837,821,478,981,989,456,609,001,283,197,810,
636,273,911,382,574,411,889,231,401,194,700,180,297,599,220,694,808,454,509,
263,127,634,786,150,528,854,094,313,369,649,605,204,346,695,302,181,284,376,
583,171,296,075,941,178,669,065,599,220,489,984,077,503,405,966,373,735,812,
513,921,946,288,198,644,589,799,672,251,720,047,758,075,095,620,237,160,424,
843,215,655,622,077,735,635,006,519,994,363,235,257,582,748,307,010,214,016,
582,750,640,429,971,165,180,851,712,273,256,130,884,208,386,451,263,047,381,
440,049,214,914,631,481,090,094,549,415,347,477,579,067,769,855,227,004,215,
972,991,414,774,743,235,879,762,634,979,632,939,686,692,959,810,778,233,041,
553,509,490,257,556,740,442,936,950,064,785,916,557,193,874,016,220,292,487,
641,482,080,034,892,167,096,948,514,205,738,956,074,352,625,606,001,591,368,
836,637,109,431,312,888,213,049,568,378,392,547,752,195,466,780,250,098,581,
767,060,608,750,204,964,327,337,132,130,080,965,068,852,738,739,455,531,184,
746,431,726,986,129,708,143,509,539,938,709,164,043,131,906,707,518,591,428,
853,730,447,526,446,363,876,453,150,234,112,427,338,621,476,016,298,767,403,
989,460,553,020,761,989,084,503,650,876,806,374,525,816,739,613,988,739,164,
223,802,219,484,888,794,116,114,922,475,306,024,122,989,071,146,418,901,523,
918,329,683,733,531,137,641,234,109,291,481,776,532,931,325,997,037,097,426,
343,513,859,306,601,574,830,197,031,243,368,478,690,200,892,723,201,561,305,
340,401,911,884,148,225,727,833,432,020,521,534,851,876,836,185,443,346,586,
077,008,080,782,752,099,045,177,729,587,571,331,033,594,439,724,157,773,953,
493,986,004,250,547,819,482,380,788,731,445,641,995,775,727,364,605,175,974,
673,071,361,632,316,798,833,117,662,292,377,595,540,394,241,206,059,313,747,
488,741,392,685,741,576,615,173,132,125,174,989,277,909,182,102,533,541,290,
225,228,057,704,915,119,943,196,388,890,219,217,539,601,750,983,723,930,842,
370,589,207,244,336,544,162,819,102,488,335,537,994,786,744,531,405,182,328,
376,667,357,430,627,614,284,388,469,906,619,799,018,439,711,146,139,481,394,
634,482,324,059,818,381,992,088,189,710,937,277,317,379,347,096,263,803,404,
745,270,840,523,154,433,952,153,797,518,108,199,272,226,918,917,696,706,184,
468,901,422,032,680,116,120,652,749,611,900,341,357,892,691,605,423,447,640,
578,258,597,477,934,216,102,556,557,649,629,409,367,833,901,008,930,860,952,
816,981,013,319,463,043,166,244,013,995,971,905,484,963,967,824,460,882,925,
339,187,807,868,062,358,542,826,444,164,646,442,853,755,367,093,999,777,420,
987,389,662,061,677,946,032,905,783,414,327,969,267,170,000,673,954,852,402,
680,779,817,617,444,192,192,143,322,339,883,866,110,982,746,742,270,814,822,
898,023,220,105,201,865,537,124,143,819,088,628,795,554,255,217,511,794,489,
946,042,554,226,666,421,359,147,112,394,710,545,619,009,091,768,711,907,204,
317,789,567,758,057,760,899,430,947,818,654,697,289,405,309,496,469,674,428,
861,437,511,203,978,677,600,148,494,013,995,291,563,928,217,385,738,169,777,
592,842,985,646,322,941,242,012,512,015,837,038,870,662,995,761,518,708,269,
532,209,029,922,670,587,981,706,123,737,200,147,928,077,337,528,340,607,749,
603,946,291,941,276,206,641,650,593,937,267,775,393,970,532,832,595,435,798,
970,914,965,909,710,118,124,903,114,713,102,861,593,436,127,550,627,459,418,
942,194,039,023,453,202,911,305,339,837,145,424,300,559,658,725,734,216,559,
395,583,809,527,163,927,229,642,745,295,534,118,954,477,734,435,638,722,789,
865,690,863,345,544,893,085,263,641,294,299,924,393,627,507,862,913,695,285,
020,105,243,353,113,165,151,374,221,490,703,272,788,996,816,789,899,011,430,
416,151,596,564,288,310,183,418,570,720,865,343,642,244,402,552,536,300,039,
149,845,264,526,906,585,918,253,341,169,469,588,588,714,356,078,977,846,625,
791,158,485,316,545,835,173,784,740,419,260,804,205,564,500,861,454,261,622,
094,687,892,331,405,057,335,125,564,695,185,227,909,010,325,379,382,355,675,
945,425,887,395,314,894,866,989,097,529,431,678,293,293,589,143,871,798,621,
286,619,717,788,907,930,104,778,550,101,050,020,186,101,005,728,115,635,018,
543,620,470,143,403,991,814,471,786,839,225,730,174,233,510,776,137,915,508,
975,999,590,181,294,282,738,933,029,783,344,379,025,527,164,156,029,580,576,
055,658,787,041,411,767,260,449,775,938,337,792,835,755,461,704,402,129,122,
481,719,536,188,981,303,390,176,103,780,157,844,602,432,966,410,017,853,160,
439,019,679,933,790,339,604,213,359,367,578,677,236,908,750,449,314,341,877,
483,022,487,359,075,039,317,426,170,567,093,317,237,779,933,461,799,797,176,
099,439,122,675,816,281,461,226,065,789,409,493,214,530,350,515,937,964,250,
345,661,715,042,908,276,455,490,271,014,321,579,657,592,414,871,938,018,615,
973,389,615,495,772,637,693,418,169,637,558,945,871,961,308,396,599,204,565,
381,054,042,827,097,461,410,978,703,028,217,513,513,612,234,993,814,060,383,
832,859,309,971,684,662,771,881,191,712,401,786,100,831,772,668,359,069,280,
996,356,980,679,034,444,923,329,429,411,349,699,869,011,811,919,870,986,532,
136,943,033,085,664,675,482,809,422,198,470,070,015,995,615,571,959,371,040,
149,435,597,774,976,288,474,362,796,788,883,207,564,968,782,321,746,630,973,
523,952,994,987,522,895,059,490,687,876,667,133,223,032,849,293,309,148,137,
715,630,691,043,024,026,221,780,383,566,113,947,100,338,440,471,414,794,566,
000,308,757,628,747,266,992,453,007,474,398,173,602,582,606,334,210,546,540,
889,100,018,011,500,954,929,805,780,052,592,787,995,607,211,108,497,246,823,
973,805,340,637,175,232,705,422,809,121,960,253,367,550,407,564,661,384,896,
259,195,777,443,695,506,831,668,215,066,861,353,389,943,462,154,779,060,325,
973,172,853,654,463,454,729,207,528,867,826,967,412,264,440,713,837,035,951,
794,485,878,119,691,580,044,010,748,092,115,654,095,823,809,350,982,879,154,
518,424,097,424,662,223,150,459,299,964,065,872,818,113,203,418,241,702,392,
726,788,450,890,099,540,073,618,557,676,374,507,038,012,931,404,123,353,541,
104,032,305,887,266,571,493,849,490,289,378,182,402,135,855,199,061,094,505,
783,413,922,897,975,520,922,771,103,319,033,497,174,474,346,700,124,337,061,
539,169,902,552,413,115,991,167,502,223,357,020,130,057,006,353,530,308,531,
627,382,216,787,753,246,517,902,830,113,328,821,493,961,570,516,851,903,911,
617,177,283,456,731,974,336,075,242,124,859,003,713,465,943,204,848,089,949,
999,849,380,123,764,162,593,291,654,637,693,779,637,245,866,445,303,020,454,
485,359,096,392,457,770,610,514,381,862,264,486,391,661,496,824,094,236,351,
629,687,906,866,364,376,118,383,080,753,970,762,760,558,882,460,732,880,929,
806,248,320,880,990,486,454,720,800,545,563,767,684,297,502,731,572,914,089,
506,663,418,881,789,269,382,861,663,883,458,151,850,389,201,147,309,029,264,
351,936,508,919,111,613,869,525,800,253,286,928,720,422,617,385,174,693,264,
757,596,151,778,625,304,582,572,550,438,471,568,973,738,530,399,549,217,065,
216,804,148,698,174,164,801,343,433,595,559,564,616,110,091,184,074,507,876,
936,711,036,349,397,148,394,647,240,336,725,745,837,880,567,400,757,562,454,
009,806,926,291,158,335,691,111,038,757,301,113,883,343,426,471,276,702,679,
618,521,464,607,043,262,460,168,885,492,181,140,174,953,487,605,809,983,277,
338,704,397,698,554,922,181,410,419,161,534,870,594,434,477,829,087,654,736,
021,541,737,306,613,047,688,473,662,261,042,127,000,093,944,650,833,602,698,
063,634,187,145,534,213,683,123,093,247,764,538,309,777,131,733,422,155,598,
067,011,444,238,964,542,678,832,100,022,178,182,906,307,172,935,534,497,203,
935,618,039,990,985,806,903,072,830,737,893,697,611,233,820,146,452,553,723,
150,363,749,036,461,556,137,412,585,171,703,106,909,349,267,533,232,156,682,
064,531,923,555,028,822,419,983,766,403,665,884,335,991,426,182,774,418,809,
624,565,070,638,167,979,088,029,541,468,884,270,839,991,893,050,602,050,201,
211,639,452,970,069,420,096,986,716,029,035,951,936,621,528,936,433,783,933,
841,942,555,062,534,403,493,350,133,862,524,661,153,392,436,325,763,802,622,
984,937,702,887,607,945,477,007,781,345,113,619,028,124,410,803,651,392,172,
891,257,850,294,040,739,797,585,892,282,106,554,291,049,284,370,087,931,494,
693,840,996,662,542,079,324,672,461,309,154,006,613,526,832,245,617,528,178,
587,466,908,264,830,396,017,076,541,657,675,374,006,463,959,652,239,283,459,
486,851,768,004,188,656,473,577,715,586,093,780,093,458,947,335,061,315,909,
715,105,942,514,279,390,257,718,622,656,296,286,942,168,175,332,962,296,165,
652,573,473,036,889,338,896,465,271,098,953,754,298,867,890,083,443,333,157,
304,315,306,306,756,426,222,497,113,614,119,141,575,547,055,675,433,719,469,
503,083,806,988,092,150,544,925,176,043,654,571,223,110,681,717,177,350,757,
721,441,622,551,579,160,404,947,532,135,819,925,561,860,737,376,002,989,362,
540,158,571,135,092,614,488,848,923,128,209,148,128,162,476,332,718,874,526,
186,390,749,780,164,221,356,502,311,207,289,750,641,375,106,202,624,844,128,
999,498,872,565,030,483,862,529,623,687,289,756,025,568,458,698,899,511,773,
634,292,144,387,774,000,385,489,067,275,374,285,438,160,675,311,067,486,581,
219,217,391,235,807,623,387,949,281,281,891,633,619,455,745,757,852,694,111,
000,126,184,860,106,998,404,603,352,347,493,957,728,721,932,048,059,622,753,
612,322,883,070,772,746,089,144,000,961,883,897,043,473,783,413,603,724,148,
447,420,233,354,065,498,907,636,550,069,403,125,108,766,623,217,785,183,160,
005,943,202,761,994,505,991,665,726,356,090,134,237,837,818,742,336,920,662,
867,276,288,916,328,044,586,642,448,390,299,502,484,828,406,113,148,961,826,
932,531,997,906,122,993,850,705,844,379,928,284,953,108,442,609,789,959,279,
639,684,334,887,789,252,505,409,346,318,160,830,441,473,992,974,124,455,760,
872,536,206,813,607,109,437,236,760,883,981,928,367,907,785,718,779,927,271,
792,159,931,469,468,668,489,852,330,708,867,996,812,715,747,155,108,344,991,
145,283,466,750,638,251,878,209,219,507,049,583,869,918,499,122,709,010,621,
808,883,341,152,792,149,027,497,069,535,257,321,258,192,168,018,382,485,426,
358,457,359,314,367,375,773,630,385,486,536,792,123,810,074,741,942,373,013,
452,101,611,372,135,225,857,953,943,067,285,846,228,157,072,211,243,306,880,
509,122,014,023,124,351,700,189,250,967,547,051,158,441,237,947,115,511,611,
484,037,426,062,992,634,399,795,694,965,660,451,906,277,488,240,087,650,682,
018,106,220,943,338,603,009,195,070,154,920,767,979,330,265,416,315,206,854,
736,681,380,125,426,729,854,501,367,498,849,272,640,847,555,149,692,872,184,
984,592,700,457,674,515,909,394,920,154,599,710,254,024,899,301,829,730,254,
512,284,993,047,833,782,895,516,627,894,794,104,896,401,155,045,252,604,860,
748,187,501,192,638,391,350,918,765,186,205,416,990,081,213,233,712,891,724,
485,349,801,573,886,981,590,715,072,343,882,006,490,499,327,505,011,479,880,
355,351,051,316,682,180,413,454,463,269,466,813,179,974,258,655,761,598,227,
271,569,142,399,269,139,423,137,416,556,512,441,590,711,157,895,515,503,109,
654,359,529,986,293,388,597,804,177,908,141,794,530,958,343,512,166,972,977,
691,584,696,712,332,422,024,543,126,877,305,844,640,354,564,108,470,479,182,
521,318,039,020,119,405,913,679,589,391,431,879,068,489,123,331,910,173,728,
525,538,245,576,974,246,900,976,938,905,187,938,592,455,358,801,338,164,433,
495,927,146,404,352,427,936,562,743,090,930,844,967,657,221,607,306,768,237,
636,150,778,999,355,945,911,038,972,071,778,293,674,311,178,228,807,077,980,
705,479,456,880,672,973,219,317,984,129,995,560,063,539,559,652,608,974,192,
224,028,798,281,515,651,547,283,526,716,010,320,203,081,017,459,816,863,951,
372,421,100,574,086,232,613,517,621,727,711,947,959,040,251,319,235,552,202,
270,291,518,807,454,416,124,802,620,083,332,368,935,043,358,189,727,886,673,
899,664,051,505,881,751,954,066,036,899,127,305,406,238,820,903,641,887,987,
363,085,171,324,184,263,933,266,448,194,376,172,521,122,943,536,075,255,278,
262,929,236,121,954,739,209,211,870,878,729,200,328,798,820,628,703,243,961,
844,873,463,697,698,240,617,901,450,249,913,163,831,573,366,587,279,709,499,
245,529,066,788,910,614,430,725,520,014,350,443,413,769,488,505,614,482,082,
757,426,657,050,688,649,835,478,139,156,981,437,640,214,667,855,933,670,804,
286,561,681,601,140,253,274,464,932,335,975,669,969,954,494,078,580,274,143,
346,136,959,368,329,651,879,241,654,443,746,300,776,880,015,809,251,304,919,
984,766,561,396,626,026,218,421,875,821,681,344,422,654,822,285,216,200,688,
291,375,073,723,549,440,011,770,209,735,331,577,470,714,630,808,956,500,985,
423,162,954,898,981,488,421,466,860,086,100,628,014,405,630,576,375,187,543,
755,910,561,306,084,170,869,832,512,281,376,442,108,245,430,376,800,692,317,
128,822,539,233,937,626,404,838,660,672,049,267,814,932,490,361,125,933,824,
163,458,257,029,086,851,750,782,055,366,190,971,534,543,951,575,122,657,665,
214,106,977,830,353,386,370,798,700,758,333,507,192,274,724,166,902,916,093,
147,295,020,161,187,332,669,022,334,193,454,859,290,503,780,250,133,470,945,
574,599,984,424,422,035,122,380,158,487,479,927,159,072,508,995,819,779,965,
072,317,755,241,792,810,340,833,972,414,403,725,248,243,554,440,807,952,888,
193,675,012,757,898,252,062,746,572,453,141,141,436,823,171,512,454,370,989,
747,856,118,900,259,560,642,127,810,430,292,222,693,675,285,166,336,410,023,
719,515,443,870,253,906,519,792,605,099,283,503,988,462,597,137,647,520,182,
687,094,431,288,202,068,971,202,642,613,594,683,434,723,378,497,735,153,610,
385,729,753,082,518,151,088,031,117,887,236,332,732,472,229,295,753,498,607,
619,732,753,930,356,399,567,901,200,647,598,427,801,435,951,246,740,112,260,
424,086,887,578,541,645,934,680,166,403,963,397,262,826,783,243,812,535,721,
691,923,804,759,893,201,674,317,679,886,248,872,282,015,029,697,880,096,580,
936,533,846,356,054,093,000,059,533,717,542,784,948,514,264,061,536,575,448,
738,929,080,130,123,115,903,852,741,405,651,249,057,946,318,941,589,549,518,
958,883,473,568,686,684,980,495,860,978,149,932,253,905,170,080,188,422,771,
965,866,036,145,031,139,547,704,629,328,838,879,825,903,976,777,620,305,922,
516,808,302,293,592,376,324,007,016,309,246,551,361,762,256,719,213,244,524,
148,772,823,909,951,988,589,075,792,203,184,180,726,635,783,796,890,786,866,
039,460,260,089,275,180,555,592,726,669,335,526,320,537,970,122,088,669,089,
133,662,226,945,286,068,354,914,942,503,958,518,355,306,653,739,488,525,709,
302,358,376,325,599,454,607,260,830,097,970,925,504,404,968,196,076,600,119,
249,957,080,628,324,828,112,441,935,094,562,583,366,879,419,784,937,962,759,
499,501,841,572,685,207,538,342,912,004,946,630,674,095,397,283,285,673,734,
486,307,914,020,428,233,991,081,310,356,825,383,570,973,507,650,136,463,572,
860,019,388,071,793,265,354,408,760,243,787,287,727,939,656,096,359,268,029,
408,405,778,121,197,795,314,492,608,377,110,403,223,294,178,866,782,200,927,
545,717,128,975,735,764,800,076,291,371,304,285,591,801,400,482,899,628,185,
668,926,434,806,771,081,598,060,120,743,188,447,268,540,989,243,434,054,302,
988,264,188,176,953,298,638,423,560,798,658,539,613,026,623,847,106,109,663,
691,885,036,223,231,084,956,690,986,393,453,250,215,548,712,992,101,468,702,
032,054,890,149,294,067,795,353,220,513,052,626,251,347,671,220,227,131,729,
533,567,684,958,095,138,470,180,333,560,957,532,062,148,347,934,249,431,823,
245,489,913,544,620,210,784,332,607,978,461,088,240,207,623,472,007,144,368,
654,625,371,990,788,781,878,483,020,092,522,212,639,320,240,622,680,431,824,
655,677,800,781,428,729,091,162,830,992,889,064,340,318,125,361,706,707,499,
232,023,087,708,370,041,262,668,829,070,760,367,809,504,942,961,420,967,497,
197,574,100,881,740,157,911,101,819,985,448,643,574,438,155,965,870,845,535,
989,176,356,364,636,456,328,137,451,135,024,379,590,817,119,475,094,422,005,
167,714,930,301,758,772,488,548,846,045,800,332,485,788,891,321,660,717,804,
505,990,497,379,231,877,868,290,054,554,588,557,519,550,984,157,541,717,826,
791,735,614,017,274,076,402,746,419,916,580,545,061,566,510,333,071,201,876,
488,468,553,299,949,829,128,922,641,650,065,013,291,288,620,771,834,055,110,
490,146,977,019,422,456,981,036,716,486,065,328,220,327,659,002,454,824,641,
182,248,124,385,642,213,525,130,251,883,316,197,803,046,490,957,902,236,366,
938,846,826,499,433,472,043,862,149,771,521,358,690,222,387,632,088,847,324,
666,278,824,217,124,879,830,639,766,421,681,363,371,487,562,146,936,314,444,
320,733,371,878,930,896,308,191,765,205,958,785,533,851,824,293,271,550,422,
662,332,010,129,454,973,548,154,798,329,676,750,319,686,124,988,343,901,431,
012,198,794,474,679,802,197,241,237,084,129,135,250,077,448,010,572,639,894,
287,569,116,022,261,338,366,349,723,253,978,812,656,485,095,868,531,445,497,
412,886,255,256,130,693,703,573,116,460,258,023,622,316,301,355,215,323,686,
500,061,599,407,204,766,584,307,692,703,156,689,779,247,145,495,836,695,466,
205,362,507,605,630,269,247,686,912,809,209,135,725,430,530,951,041,901,306,
953,964,985,826,081,480,936,794,283,068,556,202,822,900,795,971,602,954,682,
203,603,359,597,739,389,333,315,310,290,213,602,983,276,428,528,764,655,195,
769,098,146,740,483,858,300,572,140,666,822,287,089,687,876,599,740,929,341,
540,514,132,933,599,067,005,792,143,454,590,303,823,872,754,437,058,278,058,
998,615,180,419,752,815,213,767,994,587,309,126,689,951,067,098,652,307,661,
512,273,992,521,625,965,569,299,817,977,966,643,301,594,580,136,021,830,906,
647,500,687,903,724,567,610,456,351,660,015,807,424,648,184,048,039,250,729,
055,621,218,225,815,421,844,896,842,858,643,462,636,495,639,130,564,029,809,
981,986,285,663,656,470,744,075,800,791,785,243,539,081,254,050,930,312,716,
016,298,942,747,468,103,572,704,303,703,950,669,757,655,525,782,230,529,597,
104,043,105,327,182,623,514,926,643,220,225,890,955,497,634,012,398,810,949,
991,310,509,618,983,544,678,973,210,561,494,840,691,446,520,723,816,532,994,
984,741,133,697,364,964,760,579,193,127,003,521,633,105,296,473,080,266,890,
458,109,248,744,170,256,119,521,434,384,795,058,303,279,931,322,356,785,669,
495,914,742,008,825,345,476,607,518,972,999,429,980,853,026,972,221,229,385,
146,316,690,927,028,230,075,295,199,915,614,526,982,454,875,714,189,323,647,
856,889,926,541,417,316,067,724,448,496,105,981,447,392,474,107,742,220,413,
715,074,409,281,359,758,202,860,951,550,700,230,781,491,151,259,882,069,832,
184,436,309,795,446,832,596,916,889,764,989,788,553,974,719,743,914,431,480,
017,722,587,419,158,886,268,818,012,216,974,192,687,941,928,519,970,614,290,
188,486,694,708,362,042,393,281,786,493,374,318,839,679,225,047,570,203,682,
111,527,171,118,431,221,789,374,831,966,055,076,126,743,018,759,446,675,564,
507,463,059,232,977,623,971,540,852,402,243,922,357,396,349,538,436,591,206,
243,567,713,164,866,780,793,759,265,628,736,581,405,946,008,000,234,319,360,
702,148,728,500,690,897,392,851,149,684,047,050,563,347,736,569,310,292,728,
051,026,713,364,058,255,842,560,271,963,080,577,393,579,345,603,460,474,189,
745,247,655,482,396,433,829,450,243,134,994,171,337,426,956,631,035,722,833,
430,171,348,703,078,714,982,640,444,050,532,889,803,127,595,993,818,740,052,
914,651,815,957,470,698,737,295,675,637,594,129,861,269,066,810,920,103,827,
214,198,605,203,274,570,625,997,855,936,930,026,895,047,110,908,771,868,530,
439,903,471,354,668,227,989,814,063,808,001,942,909,428,027,745,346,831,979,
185,806,704,923,545,936,166,929,804,512,786,184,488,517,643,882,866,451,840,
808,025,224,772,709,829,809,863,658,165,919,821,824,358,815,494,486,074,522,
234,364,555,844,503,914,302,958,999,882,441,244,466,518,583,983,741,233,444,
450,812,949,861,650,077,735,621,749,054,935,365,694,396,001,643,524,242,565,
760,863,229,255,360,366,640,468,350,203,269,517,703,811,112,292,777,727,001,
873,902,093,912,060,820,991,104,135,729,987,962,497,924,167,395,716,571,167,
719,804,795,606,755,736,813,640,698,046,208,507,395,114,691,114,528,485,962,
073,585,863,267,943,803,927,086,943,249,664,407,845,788,512,233,956,917,370,
342,827,853,427,079,485,641,325,859,161,566,334,787,835,700,022,111,612,997,
705,711,240,293,704,114,380,610,817,062,488,666,723,971,919,662,900,626,203,
031,128,784,564,508,151,153,723,484,731,489,515,225,044,361,320,807,693,697,
533,380,971,669,371,422,259,195,952,693,844,564,434,655,329,906,337,334,521,
477,734,560,608,734,251,687,751,171,107,211,212,292,459,478,904,253,184,477,
239,326,241,985,666,590,715,162,309,984,659,482,410,830,899,198,202,961,795,
890,806,117,021,631,901,716,554,345,405,724,948,383,608,066,424,263,489,101,
111,724,205,395,370,858,640,793,181,339,139,261,385,901,852,633,566,652,391,
360,706,256,391,362,698,668,534,340,500,654,018,968,133,162,223,167,220,408,
950,306,711,071,989,849,357,659,671,128,198,717,511,439,034,099,665,522,250,
309,846,567,334,681,480,616,004,731,736,627,516,665,924,177,217,566,394,731,
499,443,658,460,127,577,553,945,186,927,929,761,640,298,645,760,153,102,412,
744,259,251,748,107,590,685,499,905,134,231,149,588,058,494,522,574,807,509,
512,704,611,772,725,725,881,142,555,856,297,128,260,026,672,173,467,728,075,
631,391,443,977,971,629,119,751,873,412,888,593,936,715,266,311,228,020,075,
049,771,233,287,967,112,564,762,378,284,816,087,395,522,261,272,001,545,361,
193,203,705,069,907,601,275,391,736,140,176,050,896,560,836,894,283,567,606,
043,606,026,543,200,099,215,570,689,612,204,073,374,329,274,967,653,611,728,
819,931,835,788,905,794,910,156,257,781,696,811,996,718,234,024,336,022,449,
383,458,936,805,984,772,745,771,721,010,458,490,396,430,323,782,433,208,087,
552,472,972,611,348,640,852,636,484,404,419,812,266,774,635,390,294,622,790,
874,761,834,295,534,444,310,347,006,746,394,274,722,904,946,901,710,908,258,
334,653,966,876,954,175,672,310,189,500,853,470,122,309,130,690,149,221,769,
666,631,265,305,035,760,672,077,580,057,741,452,251,196,937,239,873,317,566,
198,339,343,052,459,920,372,551,428,608,158,424,440,787,645,591,366,756,193,
284,540,751,445,010,666,620,196,208,914,130,122,245,496,466,081,516,635,399,
882,700,713,555,725,438,047,011,631,602,459,475,107,404,711,479,085,689,366,
455,129,942,830,720,022,264,247,602,559,226,178,761,381,128,680,956,557,862,
341,168,756,843,279,555,762,417,946,702,192,529,376,420,404,112,891,910,167,
518,487,775,521,528,687,478,079,635,872,224,201,236,335,128,312,140,076,709,
384,880,587,835,855,500,812,426,450,744,205,533,699,986,231,648,013,363,273,
927,231,337,049,420,806,003,078,267,864,361,002,636,118,614,138,467,148,269,
353,779,010,433,920,422,964,125,725,882,847,833,624,928,740,507,030,430,471,
227,377,272,893,937,415,130,432,577,190,446,558,163,067,535,940,757,492,272,
400,516,011,759,792,853,957,409,673,924,104,960,479,481,956,052,941,652,841,
722,137,194,733,510,368,114,285,495,860,730,306,357,362,178,946,793,280,043,
797,299,345,308,751,088,509,470,611,997,350,968,479,002,239,708,121,910,955,
859,180,263,412,916,804,323,616,401,497,981,778,928,981,750,885,552,799,112,
755,954,299,281,624,751,402,538,146,311,654,313,526,963,474,744,121,902,665,
130,045,862,108,324,059,383,718,606,214,531,459,712,575,030,266,411,851,986,
014,890,806,952,539,679,331,953,251,514,010,191,166,022,630,087,074,250,121,
262,033,933,322,785,554,239,788,433,133,202,868,682,089,543,349,387,819,012,
997,095,280,113,126,981,040,639,148,876,697,772,065,905,270,556,522,603,605,
711,779,894,416,226,380,017,900,610,597,134,516,128,675,939,060,389,269,430,
654,959,517,646,077,509,309,311,807,102,071,551,935,455,206,863,683,827,762,
261,663,260,812,043,021,392,933,845,667,421,276,157,620,428,359,633,455,110,
084,586,998,867,187,498,718,089,137,991,195,254,102,988,235,746,142,311,144,
962,273,393,593,333,265,184,671,762,103,995,492,184,467,665,435,027,715,375,
743,987,755,689,532,838,095,947,290,488,613,493,889,867,649,300,051,758,027,
795,136,443,838,790,989,315,921,051,327,129,471,499,853,038,011,616,996,313,
985,018,685,241,598,421,049,834,340,183,180,310,860,618,311,808,360,816,328,
302,646,142,100,319,380,240,709,738,294,665,780,088,534,293,322,669,353,921,
890,719,276,511,708,092,757,040,103,792,694,747,081,335,468,223,772,608,687,
788,360,532,276,159,058,378,397,012,865,778,127,759,030,408,121,879,680,231,
714,226,441,377,066,421,096,190,477,530,153,869,011,599,539,973,652,075,068,
261,607,892,489,441,045,965,253,519,170,584,711,876,031,718,272,665,221,353,
238,598,366,579,039,525,119,191,888,141,266,100,727,549,897,487,646,405,668,
617,267,528,768,989,086,660,995,429,852,528,208,079,963,774,870,432,188,495,
962,086,512,328,339,661,501,775,602,512,525,287,508,529,967,219,337,650,210,
070,768,899,733,039,525,095,989,309,726,852,144,368,068,291,917,496,796,618,
857,432,681,404,866,343,504,455,564,670,972,182,985,787,179,193,512,283,110,
775,440,935,697,467,435,867,596,323,515,028,921,917,515,966,065,235,670,317,
549,727,616,181,987,175,155,483,077,346,134,197,970,718,678,478,036,434,375,
206,084,616,430,721,317,692,907,540,373,378,946,058,638,003,688,408,349,141,
106,789,208,339,180,944,882,331,053,133,428,680,528,058,266,728,070,803,447,
818,654,295,039,088,547,582,223,884,686,347,672,926,856,670,964,414,320,996,
332,037,857,310,440,949,909,611,030,465,488,322,682,605,770,155,572,720,801,
908,687,042,427,561,746,134,974,263,899,814,671,557,151,682,063,995,262,530,
339,187,079,297,924,485,122,974,758,805,817,370,846,086,874,540,186,136,090,
370,550,127,523,068,714,065,145,613,334,577,803,003,640,834,744,882,863,657,
884,851,426,784,448,818,027,155,986,056,026,210,466,589,804,055,158,028,440,
979,872,134,957,460,502,617,374,427,610,209,750,389,312,756,411,282,462,564,
537,121,864,287,947,323,569,328,529,061,033,947,555,471,020,610,973,906,977,
307,654,058,275,869,181,712,511,579,961,719,328,883,449,940,932,559,033,362,
839,203,154,840,966,861,803,532,203,637,281,280,157,488,730,165,296,299,290,
904,368,284,666,244,970,632,423,190,320,637,975,891,157,794,119,269,191,726,
479,893,001,165,519,671,761,055,580,444,972,037,524,230,870,709,294,284,298,
772,054,150,319,062,055,610,719,661,131,575,463,604,589,481,010,170,699,763,
401,952,585,374,982,848,784,744,905,792,775,794,771,504,758,950,216,572,063,
936,867,594,138,499,167,908,332,831,841,803,976,823,601,319,874,305,379,109,
377,053,248,788,876,084,391,698,917,022,288,414,216,017,562,390,715,421,856,
021,689,916,344,425,318,888,848,600,088,148,373,256,243,497,665,843,744,341,
372,349,315,625,738,447,853,626,090,711,965,025,158,452,768,201,370,688,556,
845,014,389,681,726,019,347,140,377,938,894,278,080,405,250,854,660,073,299,
797,154,750,262,818,394,592,410,385,780,463,578,048,278,546,396,442,918,071,
681,105,487,201,509,569,882,243,772,138,621,650,637,310,222,862,555,806,915,
188,597,962,962,057,928,271,682,287,957,543,380,099,008,352,877,507,028,850,
285,861,281,943,553,052,089,354,259,627,106,351,109,583,608,596,690,176,346,
870,120,135,026,496,807,499,075,813,536,386,933,072,615,431,163,240,726,766,
691,266,361,374,579,854,600,425,653,944,860,751,239,104,209,907,594,731,200,
899,545,042,503,150,761,943,673,054,642,183,424,419,995,027,808,172,203,220,
297,680,046,064,250,299,919,672,111,234,130,870,592,407,276,649,724,053,139,
899,853,974,635,585,522,400,012,764,235,477,140,244,858,700,785,742,561,723,
871,294,039,026,533,165,606,713,610,726,553,286,561,020,658,006,634,651,942,
468,149,588,605,860,804,740,161,684,640,117,292,391,415,443,736,948,565,778,
981,362,024,458,845,730,287,970,772,642,193,679,022,149,350,222,453,938,953,
689,681,653,650,651,383,034,790,783,351,139,187,521,024,736,337,310,754,171,
908,423,288,088,569,624,355,560,441,315,702,947,782,511,348,306,501,431,152,
899,665,845,474,157,748,085,047,293,863,716,274,793,583,770,375,210,131,290,
923,425,084,720,574,701,273,204,977,722,977,554,295,208,851,894,361,506,978,
229,488,038,198,584,627,070,025,315,128,087,067,654,787,846,591,228,764,959,
290,344,245,271,043,806,688,826,082,877,387,678,912,480,368,777,981,152,832,
708,216,286,809,390,084,141,529,103,869,786,886,916,877,942,874,068,277,876,
920,762,751,969,023,338,866,253,002,677,336,772,027,235,283,079,943,755,396,
663,428,216,264,258,360,443,619,124,859,366,076,261,411,058,362,626,765,776,
557,057,873,031,078,439,360,469,147,288,260,557,538,915,966,430,358,847,448,
273,224,549,601,721,485,780,894,356,556,648,905,440,439,277,460,497,910,202,
213,667,745,019,976,958,158,761,584,688,371,986,004,065,540,382,672,058,530,
824,928,416,164,427,921,746,249,552,369,163,929,071,893,914,461,477,337,632,
989,190,460,550,164,365,266,981,115,545,045,343,570,684,846,469,585,868,187,
899,870,546,366,735,382,284,616,193,263,716,273,082,944,024,126,614,311,450,
287,440,437,889,566,393,152,549,221,056,277,538,241,802,265,603,310,408,723,
482,480,490,715,714,778,984,676,242,625,262,886,444,663,398,392,185,469,263,
200,998,649,832,688,619,633,628,270,531,711,514,012,880,762,543,281,996,640,
499,423,870,767,832,746,628,268,351,816,172,413,313,619,926,593,019,748,656,
668,547,875,030,610,585,818,155,576,413,647,387,154,567,020,072,159,351,255,
666,008,911,250,569,662,361,055,512,395,813,747,871,513,203,249,890,153,662,
093,751,518,757,525,102,352,258,787,933,847,611,041,269,418,592,241,155,929,
743,435,855,637,183,758,079,182,241,301,469,281,239,632,781,469,978,634,734,
297,311,545,401,880,335,576,246,537,187,904,168,224,764,027,721,589,373,321,
409,009,731,212,846,604,813,017,641,222,274,356,521,637,388,562,633,287,689,
660,524,707,387,512,243,054,726,969,994,899,073,595,375,883,102,633,611,409,
205,906,301,863,062,666,351,795,546,374,050,166,886,508,982,175,185,943,160,
409,028,440,289,791,865,173,523,097,593,843,281,472,351,076,215,452,960,631,
665,141,009,011,818,482,231,820,632,111,145,392,224,228,778,014,930,944,705,
287,380,745,187,264,231,637,276,474,512,967,973,971,102,437,673,971,742,887,
022,510,457,096,868,197,864,456,183,771,169,747,674,049,492,395,774,512,875,
020,560,069,429,550,315,265,703,172,336,060,898,133,714,525,145,830,192,774,
827,104,304,461,083,488,134,893,509,759,490,219,947,478,944,937,552,899,914,
277,767,147,872,615,084,774,248,723,005,027,144,734,934,398,157,949,429,603,
306,342,432,355,814,420,073,081,551,282,262,342,280,831,357,730,709,332,114,
812,190,301,365,745,089,865,583,260,176,828,666,769,440,157,546,661,028,182,
467,835,064,121,820,142,966,362,815,229,584,327,567,401,059,747,775,225,447,
911,400,886,792,557,744,873,023,879,280,207,894,719,146,725,978,508,547,434,
292,158,685,371,280,668,454,093,141,527,496,388,291,207,227,769,265,304,055,
509,462,523,761,296,998,385,839,917,978,418,591,599,970,657,679,519,087,372,
165,208,245,218,868,671,382,864,480,926,659,209,815,432,852,703,180,906,563,
925,026,236,210,002,233,461,102,841,469,437,157,678,441,256,226,092,988,533,
565,071,737,070,355,884,720,568,806,237,102,808,602,956,206,930,613,107,091,
603,200,720,100,075,894,581,175,470,281,426,768,869,523,175,427,865,147,206,
619,321,314,445,531,570,075,760,801,637,127,920,598,015,981,574,355,869,489,
451,430,015,122,882,429,513,970,330,746,542,583,563,163,466,433,862,236,450,
718,685,175,883,903,004,538,285,288,078,053,762,872,320,306,063,092,728,779,
431,675,612,393,830,414,990,735,120,715,134,568,359,546,267,310,347,720,650,
872,735,641,283,803,670,948,256,521,222,583,758,266,165,313,469,540,649,963,
604,420,578,395,017,791,386,818,399,485,456,748,133,242,811,059,176,304,982,
907,869,550,087,565,735,354,102,001,833,831,924,885,705,693,520,215,261,931,
519,028,912,353,351,317,377,065,190,507,197,863,049,656,688,805,463,007,255,
189,891,041,771,890,399,287,352,112,235,186,112,868,763,673,687,999,401,761,
885,216,664,532,581,816,559,940,409,970,307,555,990,292,542,060,989,191,916,
363,281,904,870,440,996,985,691,484,942,444,992,064,717,851,309,430,830,023,
765,620,898,264,672,147,483,507,224,742,653,948,679,940,226,219,871,029,020,
441,980,659,535,343,453,315,568,650,323,956,165,469,045,965,930,557,320,473,
573,296,076,085,113,628,784,388,327,772,426,088,836,382,451,550,451,039,684,
535,708,945,275,310,446,239,717,331,033,356,185,976,947,831,797,399,055,981,
014,199,509,272,216,771,376,310,212,070,277,549,525,053,484,471,377,691,898,
088,301,197,065,008,544,948,873,424,982,151,484,124,310,601,891,670,696,508,
216,520,891,096,217,447,172,424,212,583,121,184,206,492,250,695,406,953,467,
790,717,055,740,876,639,688,049,661,181,250,427,883,470,627,589,800,309,767,
401,971,363,973,552,122,235,081,321,593,572,496,812,942,922,000,056,565,187,
353,232,628,790,938,883,788,176,918,076,062,491,828,086,775,745,233,226,977,
883,782,725,010,470,117,806,786,231,372,223,097,712,647,853,136,251,228,315,
619,218,879,566,114,477,485,557,438,694,468,673,620,448,418,647,761,621,938,
939,869,306,996,638,486,383,359,383,921,022,672,235,385,399,157,572,379,913,
542,115,016,316,195,564,711,413,958,866,647,058,655,697,040,862,560,933,609,
714,490,112,146,442,087,319,972,976,997,449,908,588,003,134,525,654,046,318,
220,858,739,711,613,235,681,121,647,122,822,447,851,870,956,405,837,367,573,
249,895,475,924,606,078,704,072,949,339,569,215,271,807,392,586,697,765,906,
011,275,662,297,020,684,732,052,267,315,835,383,552,614,820,584,891,315,407,
656,768,319,608,389,744,245,109,910,588,487,815,456,527,737,742,782,954,191,
303,257,111,051,393,395,171,659,613,550,908,371,877,954,570,736,216,991,513,
675,286,015,405,631,310,922,748,952,185,662,178,099,629,884,128,136,484,606,
981,031,655,309,195,988,154,082,993,240,710,010,296,328,785,127,616,049,871,
978,844,088,167,212,159,732,407,598,310,719,635,513,838,751,766,245,629,473,
555,895,797,489,405,074,112,920,244,399,400,216,165,428,490,931,918,171,677,
002,032,484,390,181,900,889,461,831,707,092,843,853,536,432,424,840,331,215,
317,320,084,603,009,460,924,914,742,452,106,722,266,347,203,602,239,830,898,
578,814,366,149,022,756,648,587,824,090,945,267,257,996,589,713,166,056,204,
142,118,393,776,448,351,091,386,293,570,858,998,603,147,376,744,799,801,994,
299,978,272,290,922,409,451,284,497,063,244,273,670,036,689,512,259,541,268,
562,448,180,582,417,629,828,086,733,012,808,615,016,493,798,588,902,527,954,
762,444,071,297,599,860,564,638,153,016,990,011,299,234,514,011,744,698,650,
256,819,542,878,309,136,901,072,355,327,675,684,898,139,104,664,984,108,847,
677,025,688,047,390,846,251,634,202,050,169,549,829,013,281,729,529,783,801,
589,957,307,066,970,458,062,162,669,778,012,138,514,295,900,377,255,047,253,
376,473,967,718,825,481,768,531,432,906,031,921,210,095,174,981,333,776,714,
568,813,988,189,724,014,910,066,835,782,356,590,085,574,903,407,912,415,008,
637,885,728,222,362,129,694,427,399,409,626,652,602,986,623,736,312,884,746,
211,300,138,051,480,367,005,385,055,494,766,846,561,155,387,220,061,678,755,
206,669,812,817,123,594,967,071,249,263,647,072,789,701,657,679,826,337,091,
697,429,298,985,105,670,493,016,271,317,003,303,403,103,409,540,950,407,931,
790,445,526,398,881,913,079,390,501,995,859,735,747,304,526,422,219,093,222,
390,803,784,932,312,796,446,813,472,875,617,604,448,486,152,690,348,427,944,
127,986,788,014,149,712,066,271,915,011,788,151,821,856,832,340,637,749,758,
323,462,690,447,915,819,448,015,424,957,149,269,428,317,796,205,341,431,928,
554,019,512,543,616,673,655,295,530,801,024,758,068,266,375,783,364,948,899,
126,316,556,275,321,596,381,339,863,942,680,138,116,265,639,731,846,104,889,
625,199,767,237,436,177,697,372,976,097,781,424,507,579,400,328,293,435,698,
521,911,010,127,153,045,644,149,222,801,283,970,964,820,607,096,770,322,701,
902,262,738,626,700,927,370,728,274,854,798,221,283,278,434,408,831,207,211,
573,244,559,907,796,441,095,424,699,363,859,461,506,617,022,938,425,963,918,
199,170,412,239,195,447,712,560,911,120,127,048,095,539,648,991,222,003,451,
194,666,663,362,156,496,620,246,099,659,903,818,198,130,592,322,979,143,638,
487,837,134,110,581,684,760,861,053,889,007,806,094,346,574,693,073,777,211,
901,584,570,301,344,825,573,956,293,563,917,102,185,120,176,645,014,344,229,
126,193,900,782,882,861,733,821,151,535,354,223,986,662,252,500,523,976,301,
690,042,855,943,743,824,248,314,631,265,902,131,438,298,062,704,691,234,257,
992,499,570,414,460,593,026,176,796,307,590,623,073,371,194,148,794,451,598,
686,943,989,246,737,912,168,116,201,981,011,181,587,163,175,274,934,309,187,
667,610,395,438,960,552,561,727,804,915,838,175,117,371,373,861,806,106,050,
225,129,167,932,314,144,657,214,341,270,548,384,783,615,493,645,807,990,762,
595,068,884,580,768,990,677,118,254,809,178,005,724,643,521,171,109,400,084,
067,226,085,904,975,912,587,121,634,983,298,728,282,378,470,804,991,992,449,
102,829,824,575,535,053,043,703,216,864,240,453,543,379,613,624,206,412,321,
942,163,706,826,673,575,089,743,965,938,031,111,776,258,915,815,224,370,839,
849,702,702,214,576,943,958,490,663,345,468,266,004,785,920,144,434,253,204,
358,865,765,811,626,317,490,142,224,155,603,738,417,518,392,174,322,887,694,
093,237,340,956,054,573,876,589,819,390,842,124,788,557,084,987,672,862,279,
813,985,070,918,489,273,377,638,739,721,106,057,986,825,737,226,211,412,027,
739,273,029,431,552,856,223,570,479,453,057,169,515,734,927,853,553,228,584,
820,997,883,352,709,841,553,336,340,530,525,585,269,968,422,439,062,849,083,
300,698,393,856,469,607,208,430,097,408,073,920,238,407,694,950,429,865,512,
275,404,229,070,055,565,656,910,804,890,360,438,984,399,918,772,334,709,459,
636,080,237,877,972,374,978,727,138,552,991,432,505,373,975,114,616,817,879,
399,491,122,217,827,625,306,217,331,408,775,052,964,094,723,151,593,733,116,
414,868,278,940,365,442,638,297,305,377,749,100,473,390,389,729,950,168,985,
132,602,666,357,977,484,866,169,132,563,332,257,278,644,477,905,058,905,582,
644,901,685,764,397,518,696,892,467,156,236,551,669,891,796,723,647,894,913,
374,539,102,737,381,806,325,558,123,216,561,681,446,462,652,636,402,029,966,
594,718,118,248,618,088,872,435,587,459,462,185,348,509,187,497,758,971,325,
633,565,141,909,705,629,495,223,939,605,175,753,860,718,473,375,856,328,842,
125,212,879,113,416,240,024,013,150,423,130,086,575,959,313,662,426,993,536,
530,176,917,614,395,367,526,265,750,417,783,854,105,396,138,714,099,549,969,
169,498,531,352,332,067,061,776,615,123,150,712,097,185,851,457,167,828,775,
765,124,128,638,657,174,699,509,147,154,799,612,581,336,708,238,521,581,181,
992,037,552,264,765,222,254,183,441,018,972,521,825,464,222,355,431,034,787,
077,788,594,543,523,223,088,432,506,828,145,119,642,348,224,659,828,438,677,
422,122,482,461,411,465,046,426,590,204,750,190,895,739,374,089,054,155,639,
819,212,166,935,356,195,688,499,389,627,065,190,418,252,605,215,887,441,743,
657,355,306,960,135,533,034,570,296,025,419,877,123,231,289,982,702,081,097,
371,465,116,627,648,540,616,583,318,268,251,385,291,372,452,448,382,473,954,
583,164,130,687,364,468,970,598,676,543,225,074,721,743,218,118,474,544,145,
473,122,276,815,829,653,846,995,429,509,678,116,710,996,198,610,784,028,164,
877,394,500,929,257,330,881,299,610,298,959,661,962,652,594,518,031,594,475,
704,339,200,495,937,661,102,615,957,928,109,967,897,288,456,855,364,566,797,
273,590,931,565,247,296,748,806,880,175,400,782,110,488,563,087,671,289,885,
403,222,198,605,138,631,047,757,885,033,303,290,141,727,550,858,617,906,455,
717,199,392,082,053,280,099,593,495,534,122,903,169,849,696,386,368,414,521,
379,948,241,005,683,533,066,406,554,981,096,797,626,929,121,771,362,479,623,
429,268,766,755,967,771,216,112,758,876,588,501,754,241,414,791,530,639,662,
804,470,871,408,451,166,380,462,469,611,091,480,793,454,427,270,661,948,469,
258,532,518,705,218,974,810,352,407,642,655,122,897,662,224,185,813,029,825,
468,903,890,041,017,125,779,296,118,347,253,010,846,480,931,041,921,305,102,
955,454,172,650,160,902,665,753,798,860,882,629,792,408,730,042,250,220,728,
163,244,429,289,505,025,370,750,548,939,290,449,901,644,202,238,879,351,310,
173,949,787,847,617,559,386,736,122,731,141,469,848,796,957,008,050,114,419,
173,278,062,348,293,035,548,965,310,466,824,698,787,870,872,000,413,562,630,
214,595,150,557,621,359,353,331,270,583,599,536,442,769,297,205,254,106,955,
878,084,187,277,884,183,761,253,110,051,198,503,110,832,492,120,397,094,093,
347,953,147,316,614,355,489,165,790,989,175,374,060,252,759,625,332,832,164,
026,911,701,307,871,786,204,538,339,892,375,965,263,838,790,187,848,797,045,
355,056,765,525,765,402,418,204,057,167,302,843,361,310,525,048,495,023,030,
052,449,760,287,226,177,251,454,598,508,367,464,585,055,149,325,088,485,590,
288,909,719,244,894,928,566,337,830,509,872,489,040,317,026,003,216,187,197,
508,167,733,786,968,584,562,490,503,600,115,642,555,277,848,139,660,254,705,
202,381,680,842,665,695,313,551,693,569,407,392,903,798,392,575,845,852,368,
928,131,040,547,946,031,696,756,991,609,651,400,900,973,975,877,008,573,712,
815,751,161,357,594,895,290,085,723,199,485,895,244,261,486,537,955,907,980,
467,768,956,567,107,946,454,512,924,783,932,672,626,025,399,172,642,507,026,
440,071,388,281,295,514,302,443,091,919,970,658,864,583,631,072,969,169,185,
818,657,364,082,845,919,200,057,487,670,883,656,292,132,652,130,085,436,930,
394,304,573,896,544,608,478,411,379,971,099,402,585,969,293,266,736,156,376,
980,555,891,841,825,936,243,992,534,208,045,272,140,023,344,909,322,489,955,
630,344,784,588,437,200,657,773,598,264,212,501,962,183,682,372,394,960,161,
472,468,459,882,874,839,891,362,998,465,100,439,273,100,254,442,330,792,143,
736,802,622,071,768,470,904,145,209,062,431,406,015,948,689,080,202,128,922,
415,695,548,681,764,187,669,544,688,528,832,961,744,944,979,394,543,936,928,
832,042,209,964,656,418,584,571,620,790,489,794,788,582,228,639,912,848,059,
578,738,258,929,551,362,862,930,596,042,877,326,932,014,728,198,729,827,131,
251,142,415,496,136,286,403,903,279,721,623,301,990,225,614,520,009,398,508,
793,903,506,316,811,643,228,419,722,813,076,913,377,452,655,590,147,956,675,
514,630,302,399,694,005,238,870,574,903,920,385,895,653,870,343,155,865,957,
878,670,678,759,662,936,537,517,244,133,843,574,505,420,003,156,479,807,224,
605,713,872,370,928,088,198,633,661,863,511,562,761,574,081,798,373,325,869,
227,586,262,931,621,656,595,599,052,266,929,536,215,811,716,935,046,156,076,
918,304,826,846,428,609,795,343,298,873,193,343,906,476,028,034,387,271,936,
378,833,934,841,890,455,366,654,727,158,940,765,391,972,544,974,897,498,595,
034,408,469,337,378,031,313,614,358,605,396,563,567,835,452,271,444,386,667,
384,579,268,958,662,073,793,922,684,613,194,381,115,918,347,676,161,714,552,
831,060,999,679,307,911,303,325,612,061,843,613,751,831,380,165,523,945,029,
707,374,692,825,581,501,584,453,381,795,081,740,037,002,398,214,926,280,801,
272,652,806,540,616,611,760,063,286,107,775,048,191,086,921,105,771,698,227,
100,644,077,374,853,072,925,652,556,388,715,440,928,027,314,734,857,704,690,
370,233,718,155,327,393,792,714,534,766,116,142,688,996,394,770,818,651,886,
689,303,867,061,666,549,853,006,033,533,045,787,453,932,935,273,489,709,944,
984,745,179,653,393,202,197,027,741,384,909,070,081,833,939,040,381,855,752,
076,774,482,745,986,541,468,636,894,452,956,680,054,552,691,910,533,938,141,
593,844,791,967,987,971,686,005,024,557,763,734,928,186,149,984,848,986,542,
794,432,688,804,057,956,355,706,852,547,657,944,417,794,657,636,546,200,930,
651,685,481,255,151,020,845,903,688,935,358,599,836,899,736,412,008,729,082,
264,205,867,623,522,794,090,684,107,791,080,828,766,597,907,913,307,472,852,
198,381,140,225,913,895,010,295,563,334,246,841,255,147,668,580,430,862,317,
169,353,546,382,815,313,329,720,248,000,035,300,263,845,856,301,849,662,677,
021,197,957,266,543,486,335,506,075,715,292,716,206,137,862,146,390,876,248,
224,340,473,084,135,886,530,536,928,907,223,332,626,871,672,543,420,375,294,
748,686,166,907,959,609,386,967,879,311,766,918,760,373,428,422,504,664,198,
664,839,769,330,281,921,518,147,818,229,518,304,785,151,466,691,046,838,938,
495,878,557,120,273,120,766,027,940,170,547,200,871,085,263,708,759,961,633,
711,979,025,461,805,809,863,480,897,108,100,081,496,064,609,501,795,254,715,
794,412,002,222,561,713,476,715,365,741,393,244,680,845,308,915,141,269,155,
321,507,494,674,526,396,044,342,502,994,341,352,574,939,492,112,567,178,509,
124,438,161,351,602,144,731,656,086,886,579,714,253,692,662,288,448,939,167,
268,301,091,255,345,880,027,647,352,289,664,617,689,451,542,022,282,013,875,
962,851,940,533,418,856,935,875,947,093,469,972,577,416,928,726,882,409,109,
415,836,212,987,948,237,469,918,850,670,246,110,539,350,328,334,327,514,254,
703,664,044,631,738,942,034,116,855,282,697,552,617,133,936,093,068,672,489,
600,926,907,639,145,087,554,110,037,728,999,850,567,889,428,814,801,671,543,
436,597,629,225,604,485,727,841,658,916,925,244,787,324,657,450,947,661,383,
832,186,559,711,202,232,823,706,714,352,076,634,321,801,803,766,818,074,929,
603,844,852,112,429,868,510,665,965,765,096,945,443,229,178,322,452,692,962,
634,672,355,994,646,908,302,870,240,480,084,872,490,609,268,334,030,432,250,
456,890,044,240,083,676,330,144,062,075,702,545,409,307,780,024,352,335,361,
444,215,012,238,590,883,660,395,329,910,983,630,207,023,541,927,631,990,405,
548,710,841,284,239,238,032,042,653,141,877,389,778,902,781,068,708,176,687,
195,825,492,417,343,664,096,982,143,222,260,801,692,515,686,968,396,512,128,
495,290,196,270,327,170,314,122,190,328,534,801,903,879,237,633,381,646,569,
801,537,100,329,678,067,773,810,551,621,953,654,602,032,299,341,765,406,840,
490,619,161,673,176,351,880,604,624,140,801,403,048,119,971,135,475,074,215,
363,007,570,238,215,024,133,079,278,119,872,573,683,202,397,540,747,464,539,
099,972,134,513,639,467,051,819,252,520,835,804,755,298,820,312,455,746,358,
226,053,904,277,981,623,133,613,961,907,285,111,718,460,724,613,850,806,030,
866,281,357,893,106,555,660,951,014,325,526,332,399,298,719,382,528,527,772,
111,117,055,290,982,289,545,665,565,822,769,454,566,822,457,019,492,632,051,
526,826,347,546,454,410,552,478,146,238,371,749,482,350,431,867,334,810,584,
590,628,448,366,313,277,977,328,226,084,776,915,150,000,165,141,921,465,192,
325,645,898,328,416,902,648,237,206,729,689,149,357,168,389,575,706,171,376,
692,540,909,182,080,329,367,144,237,376,739,390,369,049,168,422,480,638,080,
640,217,846,958,237,118,054,292,820,788,811,952,326,383,653,546,523,424,652,
574,802,297,076,944,078,197,608,854,354,123,201,260,538,165,325,999,720,112,
472,712,597,302,351,520,841,446,315,563,851,387,605,865,200,795,068,398,224,
984,716,590,998,471,053,687,048,687,203,088,314,741,007,856,678,080,560,919,
544,131,217,435,455,200,891,678,185,247,589,640,004,150,506,658,222,968,227,
330,820,014,391,139,294,254,607,726,996,346,874,078,215,169,658,089,270,876,
645,177,030,346,428,381,147,409,407,837,559,871,065,237,771,805,323,366,774,
862,856,952,022,949,200,252,850,438,293,598,077,622,555,482,142,970,426,126,
829,056,667,673,965,293,482,375,671,095,970,261,327,219,586,887,642,027,375,
230,279,307,785,500,827,156,049,523,402,196,225,233,964,518,499,584,820,155,
983,650,341,119,514,750,869,212,503,799,517,007,589,043,101,412,390,866,126,
093,240,355,259,527,666,818,121,661,616,534,085,227,231,996,423,233,721,792,
323,271,893,060,397,457,045,128,975,658,601,936,495,627,275,268,512,886,673,
010,225,726,312,758,039,403,589,461,739,622,248,722,911,808,522,039,033,064,
768,257,332,032,704,704,739,057,204,291,108,696,390,175,762,959,019,452,964,
552,444,058,336,949,844,026,533,952,369,629,961,600,344,181,997,075,878,935,
150,279,182,698,422,807,296,810,290,431,309,552,139,109,766,316,723,058,474,
159,733,472,832,659,456,353,922,312,224,391,856,063,683,739,794,124,062,352,
412,626,638,565,068,674,769,300,576,826,916,052,841,185,897,992,271,376,644,
785,530,002,563,771,329,744,884,096,065,707,060,764,567,596,614,219,209,009,
390,030,728,836,570,164,683,233,885,742,337,831,399,926,461,960,797,962,375,
057,019,807,386,177,006,997,987,294,295,778,451,532,896,669,705,855,837,139,
259,411,121,565,147,577,297,584,652,788,003,006,128,064,828,476,951,488,261,
461,925,922,631,473,628,965,176,454,779,221,290,559,717,806,301,678,130,336,
997,422,695,873,153,924,111,199,663,466,910,826,660,248,533,516,991,474,621,
517,928,371,170,678,080,723,534,481,161,675,355,106,441,588,065,250,061,824,
120,886,706,306,837,267,361,416,728,256,246,028,269,520,994,205,781,790,886,
887,780,225,996,477,392,052,287,161,335,673,919,887,136,276,434,435,980,690,
541,469,182,984,554,004,373,618,262,538,209,792,723,207,830,181,937,283,368,
108,855,116,523,142,555,618,597,455,814,754,423,584,698,726,292,982,875,030,
122,041,930,814,216,831,512,389,827,242,756,562,248,564,660,431,313,807,451,
540,219,919,510,482,413,592,459,003,706,552,093,558,879,981,729,202,621,601,
320,403,718,530,954,467,342,079,306,939,822,503,138,495,183,986,262,187,255,
241,893,144,473,868,630,213,887,900,217,051,743,109,678,049,036,232,366,146,
967,200,883,239,893,476,182,907,766,926,978,885,622,235,782,791,786,320,666,
271,713,357,537,569,241,183,491,921,554,258,126,217,099,312,417,393,488,551,
312,910,228,889,421,152,395,309,556,155,255,212,974,892,867,180,123,978,861,
362,560,599,852,563,657,570,012,000,380,079,767,070,346,234,409,015,322,753,
269,589,632,479,082,679,230,156,916,575,718,065,591,912,216,446,595,976,563,
688,171,350,371,503,821,909,936,383,320,620,296,482,076,481,304,824,499,079,
961,924,016,130,717,230,406,692,818,065,239,857,976,189,104,220,796,658,112,
343,732,772,363,160,139,908,286,502,913,261,116,178,870,052,235,301,153,605,
386,161,036,927,504,980,281,470,695,356,321,808,511,776,703,650,919,927,383,
227,224,221,299,535,383,097,750,407,583,490,562,971,699,878,687,561,410,504,
311,254,560,651,510,380,645,405,281,621,475,939,780,886,240,525,067,604,670,
168,596,361,789,152,427,836,084,386,816,319,960,455,731,368,978,262,619,162,
892,996,040,871,297,999,338,381,868,736,657,296,931,638,958,654,019,131,766,
969,215,679,570,048,137,186,516,511,830,530,650,383,869,179,825,778,455,287,
629,645,485,328,275,630,103,250,001,251,553,056,909,811,314,324,712,347,861,
052,825,546,559,002,642,354,516,471,629,205,579,671,710,013,708,380,719,086,
502,063,989,093,376,804,266,701,662,486,501,914,271,426,805,713,797,371,268,
024,365,968,006,585,050,762,097,516,768,637,884,745,979,861,871,359,739,400,
466,695,066,983,002,962,267,689,971,971,879,463,920,378,294,575,210,546,313,
462,407,123,569,069,235,571,538,635,807,134,460,024,390,102,402,908,566,105,
353,284,206,673,227,948,282,721,248,068,735,181,550,339,678,256,554,890,259,
023,337,970,626,807,910,713,988,134,910,844,218,564,971,616,917,694,441,328,
236,940,956,644,126,998,074,471,546,596,961,673,182,946,553,655,567,746,687,
160,062,506,767,648,000,115,530,202,652,228,292,828,968,597,579,692,565,955,
564,607,326,646,664,020,246,163,379,448,370,247,132,976,422,869,096,511,450,
842,673,075,979,493,808,468,208,422,927,353,359,652,828,843,688,968,900,558,
128,265,031,541,206,256,015,070,854,191,784,330,970,566,667,413,152,001,851,
916,181,743,850,903,458,068,361,055,536,185,262,412,660,261,261,772,913,940,
212,328,750,584,321,999,077,545,997,164,059,272,647,605,288,476,020,356,279,
642,896,288,276,223,858,821,334,268,103,695,981,098,110,400,282,469,073,252,
056,884,761,035,519,595,910,272,438,419,136,558,399,752,766,461,255,299,718,
009,909,809,737,954,268,498,903,589,995,613,779,383,909,851,999,278,410,622,
171,401,635,794,249,374,033,585,319,873,693,399,693,730,038,665,306,807,968,
901,589,213,740,905,873,502,869,196,798,722,109,269,617,277,958,856,559,512,
422,767,221,476,976,901,968,747,692,043,371,878,102,106,042,400,703,551,404,
089,853,993,761,656,664,669,808,489,203,579,195,613,812,638,003,347,059,054,
630,434,204,964,235,237,052,428,171,446,091,315,275,816,109,296,633,064,354,
689,550,940,913,150,358,114,177,866,368,602,603,197,647,215,548,310,099,567,
958,198,979,139,807,131,023,246,642,101,583,101,723,723,997,761,257,296,422,
915,747,791,786,224,517,244,267,081,332,880,802,807,499,839,424,912,361,924,
741,765,083,476,581,571,710,351,811,328,916,117,062,650,706,591,473,910,414,
794,473,497,865,847,370,540,754,799,796,518,306,222,300,953,216,675,618,753,
022,809,368,405,551,570,507,619,182,231,975,127,324,632,484,835,299,220,430,
075,329,631,017,372,009,574,156,116,315,010,718,303,393,886,561,169,446,733,
215,204,964,395,579,847,075,406,051,205,483,825,969,222,840,411,569,254,711,
435,449,911,861,822,007,710,271,506,493,330,649,365,036,312,713,839,280,560,
066,655,144,750,524,198,882,348,950,967,267,462,343,547,969,758,932,957,282,
195,093,001,091,223,048,343,611,703,863,058,729,954,637,081,226,124,793,089,
778,292,526,463,415,375,308,429,980,157,888,141,333,725,314,400,594,100,841,
362,862,661,135,050,773,355,933,765,572,110,346,678,941,846,292,800,505,156,
811,844,896,024,436,646,708,356,848,791,582,931,707,532,910,810,108,628,897,
410,576,791,157,037,950,564,447,262,460,394,030,424,324,584,655,166,565,932,
830,862,745,698,207,992,656,202,322,304,433,139,692,185,803,225,429,024,889,
380,675,325,324,267,496,828,196,452,290,084,086,315,461,679,121,340,450,659,
840,548,234,222,940,680,260,516,541,988,722,174,248,483,020,511,995,268,579,
277,170,095,155,438,032,033,085,922,631,940,481,229,712,715,099,996,587,925,
102,198,847,363,246,529,987,031,740,223,480,299,637,733,951,344,678,807,661,
806,059,850,375,721,581,689,035,094,395,374,671,820,294,750,544,245,833,680,
412,597,618,159,253,873,154,241,944,167,370,567,322,163,864,821,868,449,592,
005,424,067,088,589,282,901,212,167,446,352,260,949,927,572,802,880,220,089,
785,651,248,403,488,681,409,111,825,795,750,789,141,382,114,775,812,655,815,
338,713,692,914,792,334,064,864,932,664,257,088,168,707,524,990,061,328,106,
356,986,442,873,007,264,322,512,658,088,127,296,463,796,908,582,050,293,782,
542,332,450,035,062,851,829,173,705,791,941,688,164,194,183,215,840,464,993,
528,699,695,988,126,948,555,963,318,706,915,794,153,020,893,496,949,072,533,
530,124,997,901,342,897,810,449,083,134,371,925,483,149,575,513,619,495,568,
555,078,223,201,282,440,078,144,499,956,729,169,701,561,914,621,913,318,559,
777,148,335,632,795,957,664,837,329,880,594,657,206,546,677,757,066,323,890,
526,497,517,518,306,986,403,103,289,693,502,315,962,043,210,012,593,963,610,
357,837,954,053,710,278,358,650,975,862,361,996,862,309,832,818,175,492,184,
614,188,031,610,630,066,258,030,610,141,670,042,361,801,484,360,804,730,525,
828,461,178,035,407,043,248,593,033,276,931,550,859,032,553,789,197,825,596,
661,116,871,295,925,917,496,616,063,284,305,742,586,781,911,929,005,616,914,
596,958,888,849,904,646,130,069,473,457,120,906,130,857,951,629,645,492,081,
626,274,269,367,685,567,545,931,796,117,215,591,324,655,624,267,738,512,995,
103,539,514,300,601,918,726,978,290,628,334,123,386,569,797,139,623,417,544,
460,488,955,372,780,739,823,561,433,047,557,466,300,171,910,990,727,426,146,
172,916,815,183,897,778,025,046,274,458,801,240,705,245,463,733,383,720,746,
140,445,383,941,304,806,137,957,134,070,181,481,441,363,999,092,224,703,429,
393,697,636,105,696,924,009,448,405,743,262,249,911,783,808,359,473,947,829,
770,660,639,226,083,815,893,903,264,029,277,108,201,849,237,067,805,438,922,
469,462,466,754,225,706,683,718,097,095,612,590,098,521,294,549,236,729,986,
701,298,305,646,343,847,304,342,976,709,525,441,719,707,775,829,184,352,459,
853,069,242,195,579,187,756,544,476,732,323,657,791,684,474,663,656,282,735,
979,713,184,114,221,815,663,458,173,535,869,786,569,069,763,521,649,410,949,
845,951,113,225,933,989,719,958,205,177,673,579,311,945,742,027,458,447,388,
633,533,405,965,367,713,550,643,015,574,307,892,724,057,592,918,855,537,969,
551,862,691,448,217,800,120,453,507,097,708,929,184,133,302,644,548,529,120,
070,007,887,641,160,376,835,189,615,407,013,628,630,013,149,368,415,903,535,
686,350,752,512,814,255,047,252,032,079,305,980,258,388,723,129,365,125,866,
321,619,154,759,643,837,702,519,610,267,236,124,089,224,929,175,041,595,762,
321,083,139,090,816,399,340,119,732,195,075,865,468,179,692,182,732,147,145,
914,430,760,421,134,967,535,369,206,376,228,517,479,044,685,065,995,368,477,
668,686,572,022,714,692,435,882,850,088,827,282,483,977,538,707,594,931,970,
557,909,950,765,002,532,637,775,247,396,830,038,831,348,302,686,404,974,023,
324,609,631,223,161,532,164,907,958,112,238,838,440,971,982,490,645,026,468,
408,529,023,834,894,418,824,222,753,815,611,385,876,260,307,272,150,239,813,
631,370,088,880,605,284,105,415,139,033,260,805,835,179,685,856,074,822,934,
737,509,696,511,573,699,871,357,655,563,807,430,804,612,081,619,284,455,779,
898,517,277,550,766,862,595,362,166,638,812,172,462,508,231,220,529,182,147,
723,775,744,520,930,966,773,645,924,111,895,394,495,634,415,395,681,710,366,
664,175,293,731,420,791,436,702,024,155,244,888,724,331,878,688,360,922,806,
885,813,082,816,446,401,441,857,775,167,552,068,954,517,068,700,372,010,117,
585,510,235,123,610,520,582,749,369,864,884,033,936,995,958,490,777,607,842,
960,061,163,332,842,936,659,600,760,111,731,470,915,087,687,434,485,409,086,
272,084,128,626,879,046,281,405,384,166,962,512,469,553,021,250,309,594,408,
402,122,738,776,334,966,064,795,694,409,004,526,354,421,587,337,095,803,383,
945,928,618,264,836,864,846,514,060,771,999,415,872,976,091,032,614,994,893,
197,965,689,545,338,493,414,827,675,167,805,952,746,327,920,060,975,205,017,
359,753,367,533,280,488,865,807,487,106,389,672,728,944,811,439,624,095,322,
065,198,236,660,971,713,690,118,487,427,192,813,812,351,884,952,349,044,682,
352,050,961,444,215,111,685,499,206,141,047,735,524,511,838,918,880,697,996,
665,926,137,286,697,045,089,979,152,457,238,466,462,190,538,812,154,293,328,
182,451,234,345,573,438,151,994,086,145,290,612,680,983,779,752,334,367,098,
275,684,831,912,959,377,490,945,723,816,793,881,349,894,868,397,669,109,954,
987,888,635,016,274,196,321,222,735,760,042,155,263,865,922,588,020,298,573,
071,654,287,977,403,532,807,032,967,985,576,546,934,805,411,389,659,601,679,
324,491,354,233,099,444,538,120,616,994,578,506,734,732,995,010,470,305,858,
200,585,715,483,376,976,548,391,020,853,223,411,215,558,073,788,363,441,570,
332,678,219,244,808,332,350,066,679,893,904,866,018,672,240,948,199,884,169,
973,866,041,333,372,501,630,427,224,960,110,091,570,461,634,106,734,284,521,
228,961,658,926,869,939,049,520,227,346,816,748,568,732,745,578,651,978,019,
687,988,741,879,959,548,969,215,975,752,798,405,852,655,403,182,626,886,548,
027,471,567,078,620,487,321,426,018,608,435,203,926,203,204,754,755,698,630,
074,487,918,555,263,613,285,251,510,403,497,940,172,295,113,405,380,128,040,
121,998,520,818,896,114,094,430,020,246,670,746,341,456,377,122,621,537,899,
058,711,230,724,609,300,667,970,951,531,756,563,858,719,988,314,205,204,146,
166,025,957,373,321,006,107,266,350,284,118,463,227,430,131,305,419,601,754,
310,913,249,914,510,691,130,781,584,239,826,420,752,080,804,106,007,120,133,
350,849,426,716,715,734,432,064,489,361,923,969,618,396,635,617,742,038,018,
582,409,272,776,278,767,467,984,671,763,594,865,053,954,593,778,036,968,248,
237,591,918,851,856,121,130,634,213,273,638,405,546,778,291,292,904,176,946,
186,056,997,370,556,433,317,935,321,370,299,730,227,781,296,709,574,855,134,
927,232,506,454,651,219,696,400,462,479,573,244,464,116,158,446,125,748,969,
424,223,141,757,174,364,170,978,163,339,233,673,042,604,646,051,929,572,523,
894,336,924,629,837,546,171,563,531,595,803,165,557,947,109,267,704,826,512,
179,177,286,164,204,178,744,002,087,813,374,696,009,210,216,623,848,022,000,
196,805,813,004,395,578,858,583,129,658,716,425,776,973,589,651,785,968,816,
854,859,331,178,202,732,783,925,033,384,083,752,981,468,836,646,036,058,586,
150,741,487,892,877,960,707,896,953,306,514,695,866,887,908,625,405,744,892,
914,097,098,450,362,872,380,606,874,079,743,722,791,238,568,952,958,015,196,
339,291,872,725,242,578,357,529,944,864,657,404,789,654,758,805,917,288,380,
638,694,454,045,256,665,057,165,945,852,276,484,470,028,559,609,459,937,553,
650,426,826,193,651,769,417,961,315,517,949,721,520,684,807,865,034,678,840,
115,879,025,702,984,741,938,182,280,032,328,323,171,562,313,207,288,999,058,
798,895,647,207,603,760,249,842,307,072,802,072,187,090,573,069,786,235,643,
904,124,695,495,688,902,572,848,852,276,957,002,639,158,518,186,382,741,460,
826,536,268,909,316,509,499,958,985,220,434,932,152,123,877,477,402,342,236,
054,935,197,377,517,549,590,647,305,643,986,319,084,999,072,392,867,604,716,
625,756,355,039,655,567,050,787,908,068,797,705,020,757,527,775,540,866,588,
037,761,300,745,278,944,998,425,298,050,899,376,946,509,937,601,379,907,742,
133,324,949,670,394,735,247,532,716,660,642,877,776,165,605,447,496,228,211,
536,132,396,468,637,584,957,737,990,493,033,260,963,652,254,129,081,338,927,
008,009,172,322,657,628,713,127,653,931,778,871,463,937,312,842,463,601,235,
449,074,953,132,277,523,724,078,840,534,457,461,572,763,742,716,906,863,746,
893,135,274,453,091,664,853,952,757,373,043,106,581,556,815,781,475,263,969,
892,615,572,406,215,033,666,454,498,665,964,012,459,885,079,398,432,876,382,
918,310,103,324,280,945,570,792,922,938,797,295,573,527,592,770,175,021,756,
685,770,515,865,504,234,878,994,914,609,040,674,727,450,659,496,839,899,032,
984,222,304,776,172,244,678,458,592,389,775,631,746,765,838,962,246,830,736,
499,332,544,282,898,710,643,588,530,948,681,600,272,785,541,525,629,630,310,
087,324,432,128,179,792,866,206,957,732,923,055,885,112,090,831,569,616,481,
820,113,406,226,666,183,884,886,835,419,572,889,982,476,507,534,361,419,155,
109,623,396,715,492,740,108,876,523,036,727,501,363,140,044,124,260,530,532,
233,509,033,941,898,824,299,024,260,381,302,095,527,733,504,799,885,220,274,
539,869,254,643,889,539,906,453,271,344,431,537,823,341,156,721,144,214,257,
040,930,988,092,927,406,615,948,150,083,568,474,750,913,524,245,943,122,103,
319,452,877,658,733,940,766,504,232,169,520,732,303,277,542,408,574,247,988,
477,854,832,319,420,713,884,018,407,454,832,098,906,444,272,381,526,237,870,
327,309,939,251,773,335,000,733,160,388,904,604,206,073,867,742,796,025,425,
508,530,356,479,358,408,198,149,770,557,124,867,468,047,433,072,864,393,951,
398,209,857,299,715,224,015,656,275,659,725,324,499,492,882,224,421,594,483,
515,513,879,154,453,702,864,623,415,158,042,238,666,710,268,244,606,154,941,
895,695,650,733,654,665,432,237,644,223,001,039,441,131,743,531,724,880,029,
258,365,158,335,277,671,088,281,827,116,977,337,644,758,764,741,985,137,509,
890,304,360,720,703,958,137,839,485,437,269,273,872,308,043,748,477,175,656,
015,864,562,277,267,565,411,194,203,232,138,793,465,501,415,468,120,236,748,
230,132,667,877,353,387,605,191,330,323,573,919,072,439,514,376,693,684,273,
613,831,598,342,731,415,365,673,887,667,516,148,228,427,630,062,791,739,126,
308,625,681,889,869,487,853,177,156,332,163,156,249,544,714,836,089,919,324,
872,862,391,495,714,595,793,719,930,808,843,857,664,562,091,998,443,542,365,
251,181,130,097,263,668,673,734,841,202,041,195,455,156,358,443,924,280,087,
016,935,330,137,013,457,227,947,732,236,412,199,340,597,242,896,100,870,851,
215,256,711,766,990,787,810,964,009,591,418,661,164,234,070,065,610,608,017,
795,060,530,562,687,440,061,305,322,550,067,183,829,608,308,100,372,924,171,
789,200,468,401,823,826,474,004,848,730,224,168,958,783,486,600,724,569,070,
349,526,708,104,343,434,501,081,699,029,461,885,388,926,772,302,468,208,836,
033,428,957,205,958,724,063,995,012,655,121,177,034,805,540,050,466,065,804,
004,087,739,055,074,256,733,133,952,395,369,748,578,888,566,597,669,988,910,
332,954,501,576,094,336,248,337,615,159,137,288,686,100,257,086,234,644,359,
192,860,119,024,718,269,872,172,007,809,166,792,386,076,604,886,228,703,751,
432,873,043,280,491,010,758,171,166,407,633,983,837,519,479,724,551,296,870,
423,155,849,918,001,825,951,883,372,689,750,441,204,600,575,054,678,841,560,
644,011,991,198,762,179,867,310,089,659,137,902,736,639,689,462,724,900,316,
431,686,489,465,806,479,680,336,253,533,086,403,611,731,916,518,455,773,094,
800,636,354,196,374,500,038,452,402,128,352,941,900,626,222,226,887,609,042,
605,001,187,907,166,665,658,853,411,560,570,294,544,167,621,561,173,645,150,
107,315,563,342,658,982,456,260,241,981,142,317,532,963,966,330,535,576,803,
549,175,204,002,060,541,328,992,627,405,764,124,689,986,539,592,367,514,143,
757,843,843,729,257,764,685,449,663,072,870,400,768,207,215,689,355,276,329,
293,611,056,416,824,881,673,776,658,663,142,107,437,093,252,549,018,759,688,
345,280,334,843,186,905,460,320,308,382,401,076,783,091,231,405,882,133,363,
884,123,196,459,862,872,174,877,721,235,419,943,986,708,840,760,429,299,360,
262,787,408,761,569,149,780,700,174,229,962,925,701,228,415,419,882,160,884,
765,311,953,665,968,052,404,817,145,243,095,342,263,895,801,429,589,336,495,
724,003,176,110,889,239,855,470,217,888,920,001,297,507,800,743,518,987,448,
784,253,504,070,301,788,593,850,928,106,223,773,526,522,422,820,978,051,978,
193,424,438,159,314,959,823,821,342,403,176,322,550,247,402,672,335,305,331,
011,046,147,107,725,851,213,557,569,194,297,764,156,684,079,363,240,998,552,
024,099,632,566,608,003,266,906,974,988,125,048,106,723,811,070,094,881,321,
791,723,588,858,865,792,893,685,789,311,970,170,318,071,076,598,747,864,102,
199,403,145,547,042,998,650,255,448,298,604,160,502,833,867,673,016,471,819,
877,976,930,961,273,872,979,765,249,104,824,693,050,225,770,041,753,613,626,
678,831,099,674,264,882,209,372,745,061,400,749,759,285,809,365,646,441,549,
054,896,570,978,770,586,303,172,321,780,670,000,821,409,236,605,311,264,377,
564,246,839,060,968,972,272,213,419,015,826,646,649,951,923,741,717,383,596,
715,134,563,734,228,624,012,226,342,215,158,768,039,434,249,274,675,218,243,
786,971,104,205,274,094,304,537,728,450,220,614,612,498,425,485,625,481,705,
979,424,031,998,980,833,775,800,716,736,156,141,508,816,020,739,930,668,313,
017,881,269,468,479,767,238,595,463,806,574,913,610,722,162,671,919,017,540,
560,832,407,899,059,932,023,693,805,569,731,994,304,678,871,599,046,507,690,
059,113,985,809,974,212,192,742,719,177,524,399,226,677,705,844,784,015,771,
323,153,294,773,960,868,626,358,065,419,113,650,433,438,840,162,422,825,793,
955,072,625,370,800,836,056,601,355,969,448,365,221,052,023,956,224,788,196,
362,806,609,606,347,478,792,869,074,178,370,944,647,390,986,683,629,421,991,
217,963,190,727,754,681,538,126,271,307,916,809,165,009,948,190,347,971,473,
785,336,013,869,451,486,974,171,797,086,396,424,969,306,959,460,991,426,813,
378,082,091,802,590,133,525,540,993,570,253,007,073,869,749,466,179,633,770,
508,628,640,654,130,740,162,358,246,147,727,811,709,541,754,274,685,266,656,
540,316,493,153,827,120,924,366,945,088,940,194,844,714,141,328,239,932,820,
437,320,207,426,709,416,951,424,732,219,664,708,498,615,401,383,207,444,942,
359,585,503,077,948,438,663,154,485,121,595,448,819,108,695,854,406,206,599,
607,871,388,547,788,022,493,325,496,658,570,511,916,914,528,656,457,116,896,
599,650,048,693,520,748,675,876,547,934,182,038,209,025,475,823,726,349,580,
157,817,367,943,578,696,649,526,586,128,350,835,756,704,425,651,096,972,009,
024,070,406,545,473,729,587,424,254,450,014,991,629,672,774,546,770,741,233,
713,038,900,444,417,133,445,899,164,127,598,961,652,887,563,893,694,820,206,
652,919,307,251,561,585,269,733,251,127,090,619,943,225,151,355,493,378,303,
041,476,154,826,962,859,599,349,170,622,869,655,360,544,737,968,819,663,056,
578,972,085,287,330,390,556,630,623,850,884,036,017,624,927,747,855,531,141,
986,888,582,831,837,611,078,649,537,337,413,649,890,392,943,056,391,680,685,
438,995,412,994,371,382,765,163,123,989,334,299,827,659,448,170,872,607,993,
542,230,668,649,475,559,413,075,999,648,354,485,500,830,264,949,598,533,390,
451,889,794,586,863,756,113,115,694,635,350,017,203,430,306,608,840,024,490,
958,911,422,295,210,094,404,937,237,416,570,229,245,933,192,160,920,491,807,
002,876,876,024,492,863,283,194,371,325,329,371,261,721,517,136,118,967,348,
452,915,482,969,378,854,350,494,188,389,016,915,927,733,773,599,117,488,317,
902,254,435,222,377,301,781,872,598,389,555,455,898,674,903,842,859,042,986,
168,019,267,363,170,511,560,805,924,762,151,044,216,705,055,683,462,687,665,
840,297,831,427,546,888,659,649,727,833,980,354,152,434,400,291,021,756,582,
404,241,408,520,426,505,370,238,597,252,330,506,854,473,673,493,901,467,179,
755,512,331,341,247,443,444,377,246,018,820,236,251,079,494,627,107,017,544,
915,412,271,530,564,985,820,698,972,846,117,395,617,905,415,340,566,230,041,
685,911,183,042,250,397,077,761,949,749,114,537,130,681,724,743,976,975,334,
140,344,064,060,214,545,795,722,572,560,429,615,332,022,156,660,793,283,521,
313,325,146,510,227,748,677,372,835,345,324,931,064,689,958,560,516,968,280,
099,972,880,741,325,914,792,812,371,785,283,818,218,641,537,607,975,158,880,
156,778,937,056,984,054,106,911,599,726,759,723,029,016,725,485,652,308,363,
702,152,628,408,579,439,735,888,995,595,517,182,507,610,685,219,277,847,590,
186,576,900,362,881,928,389,892,008,630,901,007,514,251,485,228,867,331,413,
910,252,736,596,084,166,450,052,842,906,372,429,841,464,625,136,667,855,056,
176,725,318,029,001,797,656,445,739,329,622,476,723,132,114,124,370,864,842,
585,195,564,832,440,604,257,471,641,250,444,216,950,825,431,880,652,990,707,
469,717,079,635,620,291,925,755,457,511,015,343,559,304,469,951,783,808,009,
809,245,811,966,485,971,592,147,131,983,883,079,821,399,511,917,061,830,704,
713,304,653,135,034,192,875,660,113,703,878,726,339,217,827,187,041,052,943,
939,089,070,064,403,432,875,918,564,436,157,042,948,415,551,874,018,846,018,
431,868,432,263,735,614,749,345,031,897,251,291,199,549,791,143,075,288,305,
969,865,067,425,763,742,112,741,519,493,051,661,741,052,683,412,705,751,232,
029,203,545,497,824,586,598,271,654,090,490,254,681,343,757,246,315,800,787,
143,068,762,438,041,348,085,685,021,384,262,126,089,901,803,390,265,212,432,
145,813,384,974,628,271,178,294,244,959,646,828,949,127,158,895,568,986,460,
353,104,533,960,655,449,070,207,122,981,615,301,515,662,304,177,470,932,353,
184,635,193,372,379,969,784,391,500,028,783,572,290,512,172,068,465,823,503,
958,682,347,742,184,652,493,870,264,765,326,152,554,963,119,611,827,104,392,
595,364,579,488,351,199,664,852,375,986,119,120,208,093,730,129,087,055,487,
695,466,789,402,597,083,181,903,180,482,505,487,518,943,395,376,818,498,915,
531,574,642,056,410,000,698,798,008,459,759,277,585,353,713,003,428,269,345,
068,029,658,713,155,586,608,581,775,891,484,413,823,903,640,163,047,844,938,
100,459,678,012,249,879,026,659,675,642,750,017,581,240,197,117,264,397,173,
208,330,942,955,267,262,355,716,445,762,255,110,281,581,417,015,768,537,520,
154,533,340,996,366,986,634,321,337,681,769,149,536,903,921,973,412,504,528,
242,688,459,064,983,233,886,187,484,632,752,921,285,839,347,777,176,765,541,
407,494,478,469,980,666,954,619,537,641,948,921,849,345,372,935,726,640,342,
372,108,647,400,969,661,404,271,234,487,355,613,419,395,241,481,340,890,042,
948,104,253,037,713,946,490,753,833,423,505,826,932,027,398,474,329,192,234,
210,334,488,170,874,211,457,455,878,746,598,090,820,245,042,213,756,075,380,
374,387,752,246,726,010,462,688,432,189,736,597,531,462,520,485,076,672,787,
865,777,877,183,614,049,994,124,347,657,104,628,085,370,774,074,891,706,843,
021,234,950,400,263,259,924,719,224,419,749,589,631,455,758,218,264,093,834,
273,966,920,446,287,179,694,533,686,887,113,412,415,388,511,545,875,184,203,
869,207,673,865,153,131,795,852,313,771,096,881,283,231,968,319,251,761,859,
870,501,156,174,890,315,302,679,059,663,196,384,188,456,573,230,978,037,774,
332,851,953,997,986,782,277,404,604,394,025,886,743,047,859,619,461,630,460,
708,920,406,521,263,998,255,932,053,884,278,158,629,239,443,468,493,810,400,
861,614,353,711,172,158,610,798,398,300,554,794,191,592,976,036,888,936,552,
657,641,793,944,233,536,650,327,437,391,041,649,903,775,534,455,402,232,571,
954,227,313,104,627,576,237,360,269,842,989,128,555,802,902,131,098,845,347,
469,065,737,240,970,389,778,281,063,763,969,823,179,903,227,146,417,523,204,
314,905,053,754,907,549,809,541,242,856,504,684,417,883,892,506,135,538,185,
165,666,201,785,599,367,970,164,428,415,987,803,442,223,266,523,192,512,131,
351,885,138,907,605,353,975,372,640,998,563,069,674,545,733,203,394,982,414,
753,997,132,319,423,355,787,870,980,980,140,527,115,461,766,954,523,521,415,
122,146,330,548,082,559,376,145,893,158,284,426,436,757,973,561,212,083,718,
805,759,423,121,011,787,390,053,260,280,196,012,636,217,182,030,423,695,906,
401,953,699,215,734,697,964,664,204,160,113,509,944,108,645,537,969,181,735,
524,689,680,377,312,131,026,144,771,191,005,508,295,218,326,071,684,451,515,
058,933,666,882,013,108,188,962,548,941,728,738,553,352,131,919,543,870,576,
075,203,786,541,207,222,113,065,083,688,367,155,629,708,064,151,244,234,439,
468,188,908,713,757,724,637,761,299,789,313,117,425,366,922,494,433,415,063,
776,323,950,895,264,629,204,959,234,361,045,093,681,225,222,494,750,503,313,
182,326,588,874,681,025,953,128,671,620,739,112,328,834,538,713,095,047,819,
924,782,536,203,866,113,770,503,309,749,659,567,908,517,775,326,074,443,775,
957,675,684,469,285,693,041,223,151,397,116,874,717,011,387,702,036,963,600,
425,952,815,390,274,225,691,774,320,454,324,073,694,522,820,651,729,904,966,
586,354,296,926,705,773,972,370,209,079,456,499,620,613,065,209,884,809,053,
050,018,469,662,201,254,809,723,647,505,362,985,918,675,953,790,344,891,111,
114,596,003,856,394,753,838,018,159,594,336,499,473,459,145,585,451,188,485,
850,846,062,557,411,391,967,409,257,295,116,110,355,612,365,694,968,734,848,
654,359,008,184,214,747,972,667,086,365,778,095,013,402,447,279,751,031,581,
757,216,367,736,249,254,740,329,648,750,552,172,380,898,709,020,118,395,571,
200,625,100,937,236,953,336,212,671,441,484,101,760,206,162,678,399,611,648,
245,894,080,423,583,213,701,443,613,707,739,381,158,711,504,114,907,526,151,
028,635,864,004,422,968,954,164,822,884,780,961,468,762,657,954,735,992,662,
251,707,795,796,988,570,383,788,810,944,518,037,841,023,720,561,825,558,625,
215,946,458,317,388,195,487,165,571,065,365,167,406,819,779,938,061,943,318,
648,968,376,639,645,407,668,218,824,728,404,994,639,274,649,413,023,249,071,
950,221,221,685,280,330,689,569,648,176,841,638,973,319,119,314,969,797,557,
540,810,053,680,989,004,170,440,481,752,122,708,102,682,287,021,172,294,478,
103,821,008,043,143,472,950,755,314,127,978,107,580,556,260,755,066,093,257,
973,736,489,549,490,305,907,233,575,470,160,595,593,979,576,974,449,298,602,
925,641,478,812,326,372,345,025,165,585,475,881,593,301,228,612,349,955,882,
892,334,262,254,896,077,061,318,337,623,447,932,897,720,545,776,764,386,181,
355,558,497,770,517,737,917,612,161,953,030,101,725,577,541,979,904,826,249,
610,676,864,596,871,650,143,054,191,458,310,091,452,390,769,607,282,226,391,
472,728,213,752,648,226,507,511,286,103,177,119,652,504,867,514,286,417,919,
187,032,619,516,674,577,614,864,887,377,607,596,290,088,341,943,966,225,639,
276,569,107,059,421,318,947,977,431,152,481,541,352,413,459,358,809,750,712,
540,573,452,287,193,660,775,360,259,847,557,007,355,258,874,589,214,798,545,
106,586,193,600,330,032,980,714,893,644,109,346,274,702,934,279,057,846,223,
760,019,346,455,964,528,502,033,876,288,991,325,312,830,680,594,311,450,610,
914,634,975,332,925,194,196,930,063,102,395,449,115,587,313,235,227,950,813,
732,460,342,408,493,878,195,397,666,940,521,457,915,907,823,924,159,139,815,
444,711,192,212,466,655,802,221,631,644,842,514,436,347,762,808,656,877,601,
302,632,222,259,224,660,800,228,149,434,751,010,745,661,852,560,708,523,416,
571,944,550,499,182,311,376,882,035,443,072,569,779,386,193,941,798,749,253,
744,789,368,627,935,512,984,323,335,215,039,062,142,482,979,461,972,968,434,
891,032,833,116,365,503,849,803,015,009,897,314,977,079,280,824,253,954,500,
988,564,715,524,150,986,320,428,231,075,618,787,719,419,654,591,571,288,630,
770,877,419,264,224,792,898,216,259,131,311,299,859,843,589,933,748,827,818,
058,661,490,780,880,547,396,924,287,846,979,063,761,059,352,244,138,461,242,
706,588,515,234,678,051,997,470,817,649,834,529,601,037,112,683,883,383,860,
551,856,917,143,041,465,177,346,918,836,677,770,594,188,890,096,692,959,405,
262,342,257,678,246,395,136,873,414,666,718,663,402,014,538,316,420,757,244,
001,948,955,511,530,975,626,571,267,600,694,681,953,120,237,302,728,447,539,
491,002,284,805,354,278,931,390,913,056,851,812,808,513,343,578,919,997,242,
207,043,867,721,043,395,998,290,582,223,981,343,320,404,866,437,007,713,392,
376,933,368,038,689,031,055,275,897,107,467,004,809,248,955,540,535,222,324,
647,907,427,306,284,353,987,942,749,338,206,671,144,319,267,061,469,737,538,
520,013,724,802,185,541,025,041,162,598,283,917,497,569,867,323,833,278,683,
567,366,968,781,653,462,453,709,841,495,213,335,122,228,291,782,033,744,049,
473,070,678,039,841,394,646,851,126,553,909,138,340,865,919,856,515,695,348,
594,094,894,245,873,144,414,718,915,813,663,298,370,030,218,881,563,292,076,
563,879,895,987,151,196,406,762,009,035,193,376,264,049,756,406,108,199,276,
982,077,640,845,938,181,221,258,519,319,761,230,549,553,604,820,889,468,177,
107,344,478,048,010,137,826,007,893,979,833,049,476,537,221,725,492,315,445,
178,238,631,627,463,846,274,579,010,913,386,761,565,836,786,137,423,555,398,
839,088,042,578,250,111,509,340,687,401,729,803,207,478,920,562,988,708,860,
478,823,132,714,744,726,679,025,200,683,733,540,394,583,255,520,051,720,871,
685,817,165,289,029,371,598,567,669,341,994,612,241,539,939,115,563,637,896,
298,344,204,881,227,417,885,048,185,088,535,028,461,596,697,269,063,447,051,
272,975,999,863,522,224,720,036,042,666,415,224,150,117,629,290,016,851,901,
134,556,404,182,225,750,608,319,011,373,262,501,750,622,761,894,355,590,009,
286,960,291,576,847,900,680,948,203,949,535,315,388,702,955,327,235,923,215,
264,190,250,630,146,399,715,875,850,813,852,838,301,886,860,025,824,717,109,
895,572,868,333,030,111,159,544,857,753,234,071,508,701,261,745,238,929,788,
855,825,791,880,291,733,662,608,559,478,811,305,311,014,097,684,981,744,471,
165,679,081,665,786,943,968,679,585,848,702,675,197,843,284,181,511,547,012,
251,600,355,865,321,590,311,959,876,300,945,739,550,718,457,553,496,432,197,
046,515,758,488,118,152,118,928,173,812,142,086,427,387,199,691,704,570,765,
040,178,540,291,929,472,130,362,130,098,980,385,345,862,981,946,901,878,333,
273,961,937,626,871,759,789,067,977,151,070,265,823,252,375,167,273,433,757,
597,669,713,605,719,872,119,009,936,848,778,618,270,106,656,672,298,300,243,
226,740,299,243,461,703,132,722,016,048,763,795,552,777,801,987,077,218,516,
036,636,927,164,945,360,939,916,315,617,468,253,547,701,621,499,404,674,143,
872,076,801,661,179,926,810,181,939,905,005,839,576,780,506,964,672,916,769,
301,698,182,874,430,216,643,909,852,677,338,030,040,498,518,321,014,285,322,
147,187,686,824,147,453,020,111,862,854,392,528,979,759,360,501,523,040,937,
372,617,333,056,902,705,956,936,379,478,199,452,876,353,140,874,554,841,239,
373,328,874,814,246,374,195,581,156,669,653,047,882,451,075,715,729,898,191,
096,956,986,406,552,213,847,369,736,363,518,622,632,067,291,301,208,625,322,
167,541,020,052,115,011,384,890,487,632,275,236,729,694,959,010,007,948,315,
026,505,696,044,968,598,988,266,566,405,876,358,226,391,392,652,686,574,128,
419,257,428,204,038,816,484,864,806,012,652,129,150,498,871,334,773,139,641,
889,106,864,715,226,218,660,617,388,707,313,242,395,979,739,072,712,659,026,
336,569,510,512,498,899,981,427,989,145,332,050,686,395,467,088,604,414,745,
408,030,190,876,699,756,265,090,708,297,085,399,099,579,716,956,048,526,242,
005,287,416,261,741,829,924,865,968,831,940,204,178,341,966,581,147,785,053,
823,740,952,552,010,605,362,661,547,452,891,181,107,137,178,052,377,525,816,
304,503,610,260,944,060,129,615,380,712,168,008,316,187,796,711,234,595,101,
154,990,173,167,524,076,450,924,940,732,513,378,039,054,538,038,430,762,601,
042,924,133,905,814,651,501,952,424,999,819,462,695,779,798,610,155,550,626,
916,924,992,626,336,608,706,999,943,953,797,658,869,928,959,801,000,579,552,
060,670,564,754,603,778,012,887,014,473,531,913,006,514,791,671,670,110,196,
938,198,180,782,318,268,972,097,299,499,751,490,552,917,998,855,566,185,231,
634,879,853,315,265,898,038,623,447,087,916,634,518,160,449,529,058,451,761,
711,141,718,532,646,615,873,210,885,450,303,714,978,207,226,878,506,486,633,
028,324,698,617,649,682,038,232,500,131,514,371,897,359,630,435,282,109,559,
192,761,014,294,806,555,310,993,836,997,395,102,323,762,144,647,038,723,813,
172,337,803,926,027,473,154,876,310,802,948,023,091,354,841,888,486,337,058,
206,502,506,611,009,678,366,667,741,115,325,592,990,778,460,142,964,632,738,
895,972,156,685,714,580,922,441,817,732,115,312,336,294,003,143,911,723,239,
835,198,331,105,188,962,176,367,434,899,583,995,595,589,694,043,234,358,493,
635,678,968,115,139,575,806,178,399,603,004,398,579,229,441,824,483,366,359,
882,037,091,314,732,697,185,071,907,608,298,410,197,443,119,173,579,070,225,
396,557,599,657,299,492,975,044,534,746,263,965,642,524,230,717,386,442,689,
669,032,089,987,310,000,269,770,892,916,517,429,036,801,595,828,953,634,039,
548,675,587,089,464,298,055,823,172,095,438,143,472,401,350,606,224,981,053,
218,950,626,007,974,042,744,918,365,176,225,960,616,881,491,530,267,651,679,
746,243,427,051,369,883,762,551,623,136,579,499,471,832,028,602,416,514,354,
653,611,370,631,884,998,781,217,661,453,992,025,622,729,445,565,514,226,363,
579,555,460,531,872,212,362,641,486,912,504,330,334,314,431,322,277,435,041,
659,038,486,525,099,881,967,345,710,190,373,024,973,579,520,799,067,402,864,
318,143,628,579,946,216,656,832,361,332,177,525,647,507,218,969,839,749,581,
051,287,991,316,147,232,651,441,728,246,409,949,709,131,036,815,650,522,244,
591,699,275,715,410,537,620,567,694,946,486,326,722,803,903,859,193,778,880,
086,020,165,805,910,526,489,203,801,149,782,636,581,978,465,078,792,696,612,
278,300,950,258,859,396,562,781,277,567,121,429,492,286,992,861,146,368,744,
506,102,655,711,800,547,589,545,905,913,896,783,153,865,782,160,492,759,186,
410,256,797,376,998,929,918,010,558,207,871,842,357,114,429,920,246,245,735,
193,384,510,055,880,753,430,381,331,009,209,105,047,177,276,720,925,308,903,
293,341,247,320,393,954,548,784,921,516,090,475,639,119,253,357,944,817,747,
487,936,468,553,130,507,801,921,281,195,440,997,615,564,037,871,700,065,217,
780,257,900,864,730,813,847,967,525,492,492,265,419,143,857,095,532,493,489,
797,399,603,038,319,632,366,996,732,733,988,503,102,301,040,591,291,131,130,
959,772,787,060,217,263,850,342,927,365,259,831,670,096,922,628,256,796,685,
829,429,729,116,018,476,103,257,323,144,580,867,910,447,934,486,559,400,076,
531,061,216,347,570,292,286,564,145,935,352,160,362,192,946,722,473,184,152,
553,391,637,859,071,041,282,678,123,492,604,701,676,031,092,791,902,326,506,
821,418,560,120,085,665,435,483,584,859,101,981,081,618,381,420,019,527,865,
959,425,098,607,208,814,778,382,913,551,179,364,320,155,055,200,477,860,989,
377,732,043,199,764,261,089,696,834,866,160,219,400,930,462,257,041,460,165,
810,933,559,727,219,626,966,179,107,645,922,028,521,873,559,697,804,553,134,
849,524,425,701,142,847,396,207,765,077,027,270,673,682,048,530,327,154,514,
050,842,318,335,666,457,799,478,930,476,027,247,231,323,380,942,883,237,751,
588,973,999,003,592,813,126,094,235,934,629,333,499,648,010,302,136,775,149,
814,942,960,035,270,621,826,205,403,733,220,303,955,485,175,572,511,592,760,
609,727,591,660,739,835,286,068,811,092,919,613,201,534,833,841,360,208,622,
282,621,459,741,694,730,274,166,634,560,798,694,924,531,401,631,741,370,986,
534,401,406,631,936,774,932,909,030,826,776,400,173,798,391,858,768,991,461,
404,894,029,001,906,646,754,286,968,082,977,591,937,827,306,454,999,495,947,
033,507,043,598,589,810,951,012,016,225,946,887,801,623,430,997,930,673,606,
177,019,283,400,293,702,563,349,982,212,113,843,835,481,116,583,903,118,854,
408,753,538,312,306,757,272,432,733,725,899,706,771,497,063,008,292,819,436,
234,621,765,161,629,640,762,435,441,554,230,705,873,350,666,194,513,467,313,
476,288,054,946,042,344,920,520,719,769,730,246,803,751,377,321,587,452,110,
012,182,301,986,965,045,873,675,285,825,987,591,084,957,659,952,665,961,251,
993,809,992,480,119,651,307,208,032,115,987,278,777,962,616,958,443,948,045,
437,901,061,892,314,593,357,136,211,350,189,726,973,386,275,415,983,510,981,
393,194,615,310,365,508,513,402,265,913,771,477,199,159,341,817,536,053,983,
658,356,014,903,485,445,566,799,155,790,168,110,866,382,034,388,676,299,735,
514,041,034,696,951,127,998,804,812,407,012,177,677,801,225,734,805,439,730,
757,050,904,016,794,157,712,457,158,553,317,101,817,367,688,292,568,476,533,
934,374,476,711,528,064,283,852,994,551,496,474,473,093,228,582,446,068,632,
216,801,731,210,250,047,898,671,752,478,106,886,905,242,765,244,151,341,209,
678,583,578,257,618,057,708,628,253,262,391,867,681,281,760,535,536,397,975,
466,109,089,814,163,247,739,371,626,325,607,885,687,739,306,611,014,040,923,
597,384,778,803,544,556,103,027,941,333,525,126,793,668,139,445,764,151,161,
542,850,540,710,316,844,172,070,773,851,856,197,599,307,040,130,219,146,165,
380,731,865,452,340,132,821,080,667,284,686,957,962,763,013,878,353,104,812,
330,265,895,976,426,508,738,436,465,037,026,312,736,596,243,283,310,153,604,
388,497,827,000,975,610,348,757,204,534,696,344,835,051,761,838,364,103,515,
776,823,482,115,152,958,802,695,841,443,894,756,304,435,313,107,388,609,154,
055,536,076,328,929,130,183,328,722,480,767,810,881,562,015,865,061,177,524,
466,279,638,836,530,263,554,164,718,778,013,324,715,712,165,155,904,506,345,
519,160,869,931,197,655,781,850,415,555,556,225,240,524,740,995,315,570,641,
165,480,573,338,050,722,245,031,404,047,880,046,693,320,970,335,224,012,933,
427,847,292,864,920,641,777,926,028,867,581,277,340,710,851,613,969,654,554,
182,110,610,176,749,604,243,449,775,936,795,820,165,300,248,268,484,854,358,
933,574,295,261,284,009,440,904,849,200,884,852,153,636,855,162,228,066,824,
782,201,474,020,830,876,260,967,671,568,855,521,461,635,455,924,355,837,219,
704,209,217,902,304,686,296,334,463,547,106,027,933,019,219,349,766,204,142,
402,143,721,818,626,175,722,084,796,671,116,210,318,569,695,466,602,237,057,
157,216,599,670,805,132,390,137,200,237,779,549,256,867,129,683,635,666,515,
055,607,023,061,573,609,845,386,427,699,764,008,583,747,461,303,266,675,933,
847,433,147,277,543,944,369,362,485,743,517,507,785,998,364,381,344,731,760,
990,580,537,951,512,601,515,989,446,493,733,761,060,627,697,784,459,446,538,
950,837,407,164,453,695,738,689,639,783,691,791,311,227,730,338,421,850,601,
802,494,517,339,629,950,371,502,782,271,714,285,150,753,765,903,483,171,223,
431,011,316,964,418,140,180,769,876,590,981,910,739,983,270,304,201,727,131,
943,719,541,103,396,152,857,594,112,054,182,586,683,524,111,922,520,602,970,
639,327,144,984,732,855,887,983,677,633,419,359,571,390,244,170,872,897,658,
482,298,545,378,651,874,539,607,703,580,972,904,019,588,762,144,594,089,867,
524,378,689,781,369,013,915,005,895,438,008,783,977,324,007,096,326,472,137,
581,205,023,233,433,355,339,299,379,527,891,844,738,840,670,677,726,830,596,
000,954,157,632,654,730,242,231,447,529,116,001,270,620,363,597,206,645,959,
623,942,100,294,669,741,286,914,956,682,153,856,363,532,238,693,731,459,317,
744,869,071,624,550,472,403,751,499,445,529,432,552,209,242,190,877,150,951,
234,019,970,317,557,134,534,414,528,233,185,018,924,146,917,219,894,512,188,
478,269,754,984,469,666,598,585,329,584,117,163,373,019,780,974,272,395,403,
051,521,303,813,954,999,905,212,740,671,276,292,065,987,561,731,911,599,235,
183,886,900,112,519,935,735,087,777,431,988,102,175,636,506,436,932,587,637,
870,355,747,002,061,329,524,793,721,949,109,097,917,275,053,493,738,307,691,
673,299,232,290,097,638,563,183,859,518,456,703,996,410,666,117,695,095,708,
611,331,786,149,921,938,414,013,221,436,828,309,478,552,035,787,756,128,135,
449,268,850,229,446,031,008,136,145,062,524,724,538,231,534,858,122,538,405,
797,050,135,912,484,196,974,711,776,598,345,962,004,013,860,484,225,768,152,
592,613,573,109,569,193,569,387,709,072,081,136,999,819,656,215,526,777,477,
365,066,611,693,841,812,567,924,963,711,294,750,706,200,734,281,832,269,010,
445,298,560,228,061,308,562,895,921,192,901,166,429,054,422,529,502,911,941,
772,250,468,224,755,396,442,953,227,303,787,237,061,747,482,374,675,627,742,
859,771,839,554,934,672,295,491,954,306,119,228,308,518,123,801,424,215,715,
019,906,354,979,116,542,120,873,923,238,612,938,107,968,229,513,541,057,894,
116,996,662,857,853,175,322,708,145,713,157,630,470,976,937,381,043,196,881,
025,809,783,527,215,051,441,715,160,625,797,031,382,835,127,062,782,380,703,
517,235,978,018,471,587,488,543,022,061,137,188,231,358,942,677,975,301,686,
852,334,967,776,214,362,270,555,723,811,975,612,224,683,478,507,068,494,973,
776,365,355,709,876,864,183,812,787,145,234,082,710,703,201,927,846,712,618,
226,097,306,183,467,519,050,305,653,686,867,151,155,068,438,311,382,704,369,
220,108,715,826,444,722,037,378,200,281,417,452,607,717,953,728,752,187,232,
251,699,027,477,088,241,600,854,722,380,012,510,964,031,669,638,375,687,165,
544,733,139,460,178,219,727,830,082,085,800,011,589,329,963,542,389,282,181,
540,375,018,646,663,306,260,393,943,016,746,404,642,937,095,754,001,797,469,
433,920,972,696,989,798,382,341,063,773,011,774,902,321,856,057,218,229,053,
765,509,774,918,821,190,330,920,813,133,188,179,753,465,284,208,270,127,023,
005,597,679,719,895,363,099,230,312,482,965,839,107,558,164,109,340,817,528,
195,328,963,964,535,572,325,221,216,931,166,840,914,922,075,936,644,211,725,
332,704,916,518,721,972,831,871,508,695,280,885,016,059,339,969,534,542,888,
692,952,134,691,888,883,789,136,877,198,583,262,982,570,480,207,250,724,937,
477,328,600,898,257,689,334,774,606,591,649,126,275,486,277,797,587,941,228,
938,516,326,705,425,373,126,738,265,689,742,754,489,439,121,279,205,579,381,
043,443,297,786,198,663,387,319,912,353,432,203,536,914,114,862,595,112,705,
939,745,585,170,159,175,113,591,760,816,109,752,764,437,663,467,226,731,138,
610,373,254,960,872,580,472,780,453,359,465,406,392,043,913,747,403,055,267,
222,701,040,796,892,167,198,111,452,279,577,700,223,167,647,746,376,092,852,
629,106,152,344,325,030,961,218,250,140,550,559,815,459,772,002,052,308,801,
704,348,588,284,767,162,897,646,640,577,332,867,988,079,816,683,398,661,994,
996,334,699,744,334,358,544,170,928,418,915,010,073,576,723,653,532,879,137,
654,388,909,960,674,619,362,708,311,480,301,421,790,830,443,204,914,813,042,
892,371,472,355,729,814,067,849,003,511,363,479,900,106,107,457,853,451,890,
585,913,314,763,908,673,860,678,847,347,772,060,718,574,944,822,745,373,765,
025,675,620,460,439,431,399,986,130,137,559,684,528,932,837,514,105,004,200,
020,172,028,856,392,013,714,842,931,692,248,074,976,889,099,246,772,763,451,
576,657,973,071,034,487,332,391,470,947,231,306,298,098,056,021,725,827,796,
843,827,724,528,870,451,110,411,882,885,333,079,763,032,647,434,249,842,457,
782,491,997,821,020,087,387,999,411,521,555,814,378,341,600,455,273,371,489,
288,817,210,084,542,971,853,305,195,535,956,781,175,872,879,895,185,093,625,
035,935,947,925,435,505,440,375,746,512,274,487,042,992,995,151,390,374,784,
338,122,859,256,925,882,123,691,064,135,608,007,459,832,313,749,699,413,999,
041,366,453,959,460,882,488,502,608,036,940,753,599,756,144,767,767,302,346,
914,809,752,129,867,499,814,457,145,718,081,294,819,796,781,349,198,853,959,
027,984,341,189,224,425,904,912,133,049,987,551,414,273,535,860,550,725,529,
168,186,706,944,556,603,617,834,144,935,919,643,161,883,835,495,560,363,155,
154,944,199,954,164,209,795,252,490,626,069,910,171,173,996,544,109,057,432,
281,068,764,778,760,505,073,170,800,932,544,039,289,539,744,037,757,493,150,
466,281,046,184,220,439,102,228,172,925,501,016,922,654,229,172,450,012,858,
231,572,338,790,584,033,483,908,439,097,564,777,777,204,231,900,810,515,782,
179,341,929,168,261,381,836,102,870,610,771,254,431,826,588,560,996,240,984,
024,557,513,126,237,157,785,883,063,391,699,554,848,625,063,486,794,170,671,
423,689,399,760,256,488,256,681,860,513,651,522,742,012,769,137,661,762,279,
976,319,653,925,657,505,466,735,985,709,175,232,023,484,464,465,824,026,971,
123,107,516,403,749,415,696,390,484,256,955,518,653,088,684,660,280,802,761,
979,686,434,145,532,904,642,126,603,225,157,262,133,365,296,211,523,451,962,
349,766,073,238,774,968,381,309,294,320,597,524,691,031,245,479,245,386,865,
647,975,054,793,964,450,238,920,210,265,971,629,416,946,711,384,383,799,766,
526,927,691,256,005,337,425,449,003,965,673,021,238,600,343,571,856,711,771,
668,534,857,480,598,193,627,582,499,664,238,719,357,908,509,289,380,351,254,
871,111,423,121,288,039,252,220,774,134,780,621,143,114,419,496,970,220,704,
174,354,928,740,610,675,548,108,538,813,706,556,502,619,874,767,258,168,587,
524,156,827,155,986,720,403,553,077,872,686,419,946,122,162,392,983,345,059,
580,680,437,849,245,048,850,021,436,971,615,078,141,458,065,387,105,418,881,
434,718,330,332,518,747,735,002,269,968,460,584,469,874,965,001,701,181,735,
673,500,373,562,148,637,646,633,395,596,639,246,505,273,226,382,962,271,262,
833,590,341,143,109,440,425,904,140,560,648,599,836,949,539,480,471,498,688,
417,556,581,145,029,551,281,133,040,567,709,595,550,625,316,832,933,695,154,
307,641,908,504,398,375,624,622,805,985,543,185,429,733,552,545,589,135,204,
524,173,231,471,525,994,502,841,220,825,345,978,301,226,194,912,230,486,102,
766,386,004,329,337,179,924,481,029,047,913,726,513,062,556,785,458,697,074,
913,825,352,069,447,910,300,187,162,630,048,323,534,148,668,470,031,881,070,
737,993,907,494,148,541,573,694,792,195,217,719,002,841,424,802,762,865,823,
765,297,288,678,903,586,518,248,411,284,419,428,308,506,787,767,767,915,380,
612,931,193,225,954,904,647,578,546,340,098,288,315,659,115,783,340,931,844,
856,019,004,257,927,871,062,148,207,655,187,687,241,242,018,685,206,199,364,
596,057,887,040,101,441,332,214,165,342,571,057,091,975,869,031,215,139,003,
614,250,500,487,000,420,043,294,187,270,907,810,944,221,189,061,140,821,835,
049,678,247,909,490,035,477,257,223,912,709,019,758,363,831,661,685,166,772,
563,574,285,356,010,046,071,906,761,768,939,014,759,732,171,879,114,438,935,
461,992,625,541,538,111,689,407,821,744,602,104,706,144,499,675,240,456,605,
413,759,748,814,855,309,025,565,066,358,644,815,836,939,313,793,888,576,043,
130,925,064,015,044,209,450,427,123,353,214,274,747,614,664,943,953,243,655,
674,696,344,136,268,729,431,647,986,653,804,349,078,706,081,310,367,780,809,
887,593,323,400,108,016,199,330,106,561,553,148,034,306,569,649,095,674,178,
819,455,737,575,713,531,865,317,196,416,812,543,692,795,588,296,919,225,683,
836,734,075,230,393,772,516,268,485,554,950,803,911,023,016,687,050,993,434,
074,804,323,860,023,467,143,076,891,987,524,553,810,092,309,593,968,622,071,
625,555,506,583,626,780,638,308,596,900,050,749,453,112,870,283,421,535,346,
381,294,724,378,588,636,547,161,555,208,076,971,551,369,475,815,259,950,660,
464,874,924,152,619,240,626,934,107,719,777,133,829,857,392,863,146,994,446,
866,739,259,472,256,621,636,639,107,119,968,790,402,937,475,310,773,119,365,
542,281,705,154,723,667,757,393,053,391,884,497,044,980,478,035,471,504,120,
324,331,328,601,686,089,630,302,318,560,631,949,018,512,195,727,986,698,266,
422,271,550,282,252,652,076,586,069,574,510,934,781,353,945,441,945,123,279,
510,295,014,159,850,712,421,213,696,421,406,287,089,823,766,058,231,486,643,
955,188,922,041,399,729,252,544,328,138,929,747,205,712,149,042,283,353,943,
417,964,639,290,956,166,476,480,287,985,261,773,221,855,259,253,819,954,576,
964,016,090,310,761,778,289,136,347,857,074,826,073,277,183,901,979,292,147,
632,678,267,213,807,291,567,818,285,563,444,266,931,914,890,328,746,433,467,
885,797,212,560,344,500,992,324,244,928,475,878,994,515,637,647,195,453,065,
151,017,448,604,374,895,958,583,734,320,792,720,544,426,872,942,311,630,652,
153,629,061,352,880,866,852,926,672,236,658,630,989,610,095,991,674,119,716,
826,717,826,585,079,992,370,832,502,550,977,341,681,839,034,057,219,020,164,
100,786,822,732,049,772,671,233,669,993,761,047,081,749,588,881,811,669,942,
711,533,958,599,108,476,501,933,149,297,058,176,708,226,897,316,905,952,484,
874,243,967,841,157,659,541,548,956,630,615,752,885,187,151,827,548,627,719,
675,084,982,793,710,289,199,209,811,104,949,710,241,639,647,478,292,145,789,
188,844,995,573,712,057,836,521,161,040,638,184,582,813,680,480,432,494,101,
310,628,238,751,528,552,911,874,134,907,452,203,074,815,556,995,221,747,835,
081,250,849,061,074,159,885,384,886,760,559,007,520,055,954,736,631,450,575,
575,490,737,165,514,192,847,009,385,569,184,563,488,783,070,207,023,015,782,
639,926,226,138,081,998,091,642,761,623,207,824,202,774,555,696,373,786,818,
523,456,008,844,493,609,653,031,479,112,272,524,393,539,865,502,141,051,236,
449,178,085,170,807,865,327,573,339,652,554,847,585,533,650,024,936,739,346,
832,752,980,276,816,859,586,295,769,226,558,504,632,843,070,808,858,380,139,
605,136,334,483,056,316,018,136,813,446,000,605,741,623,315,779,867,981,214,
655,049,929,861,757,032,684,332,247,117,916,102,679,455,590,606,594,266,308,
934,157,998,223,840,721,236,962,950,214,296,702,236,443,022,587,490,340,859,
515,659,255,382,203,540,101,607,327,667,336,289,570,296,379,514,025,302,785,
285,407,408,793,449,879,524,426,490,005,387,626,283,975,504,808,423,258,862,
437,155,305,526,635,902,001,524,311,596,833,138,490,422,377,764,174,157,329,
774,376,884,198,607,584,284,710,449,034,696,750,172,730,449,709,468,777,948,
563,872,082,816,397,456,858,086,061,896,976,057,024,763,031,940,036,127,115,
063,071,407,350,098,913,257,383,276,063,196,777,560,659,685,551,443,640,493,
022,157,778,227,983,589,120,399,326,453,811,457,608,961,812,700,650,129,525,
145,424,082,051,389,142,565,418,953,945,290,043,382,489,826,326,733,942,866,
001,157,067,867,516,550,852,378,255,756,280,327,238,998,451,718,585,676,988,
912,459,643,597,037,515,407,920,159,514,087,737,406,780,621,834,081,515,092,
805,305,465,017,557,585,234,881,369,221,464,019,525,696,461,424,706,937,188,
189,436,022,597,124,925,725,008,168,767,931,677,767,467,043,248,917,437,846,
675,368,880,119,979,027,682,793,702,146,827,706,111,660,428,160,126,552,195,
598,627,404,246,334,534,807,113,806,309,035,075,487,412,210,698,122,841,377,
099,573,582,813,367,367,458,489,328,100,978,264,872,238,889,487,540,039,273,
643,856,294,487,216,856,805,011,806,628,598,579,395,937,926,132,578,085,747,
261,260,157,728,279,462,234,372,644,467,636,905,229,568,323,533,361,909,991,
032,454,826,739,494,824,687,991,465,733,256,595,918,150,414,112,985,358,795,
843,182,704,406,652,245,400,270,945,701,337,419,030,774,095,874,858,968,746,
064,113,592,402,185,683,016,935,204,111,766,745,569,825,951,348,622,670,902,
773,029,171,005,432,944,978,644,315,952,753,805,678,883,850,548,690,649,123,
274,547,737,362,654,731,408,118,319,292,219,334,981,681,512,193,584,586,614,
607,344,801,585,468,461,115,862,605,833,381,532,467,278,521,544,764,881,268,
744,445,953,315,106,880,340,236,859,662,691,709,006,270,731,885,417,208,628,
944,146,560,940,395,661,943,083,705,551,061,286,220,284,124,454,113,423,520,
308,608,305,801,272,400,683,725,643,969,028,233,072,170,796,458,686,162,490,
415,997,693,590,457,509,747,471,739,156,199,720,050,163,904,114,154,047,659,
781,335,515,264,193,292,024,769,559,502,160,977,633,892,258,525,000,115,142,
852,787,386,108,807,225,884,414,085,962,646,539,809,802,854,281,062,256,487,
677,715,415,886,228,610,926,221,534,447,680,170,497,907,995,542,920,432,272,
834,572,844,385,230,575,247,160,723,890,271,916,471,284,921,298,506,523,641,
916,053,009,273,709,809,812,877,536,357,546,693,968,628,646,599,121,277,726,
020,263,528,509,827,089,434,861,293,019,791,025,842,021,767,115,834,706,109,
968,418,212,879,843,025,028,939,674,623,018,676,720,667,207,120,430,512,501,
883,402,847,599,852,860,739,964,607,117,617,765,332,270,493,228,424,347,511,
897,201,441,568,232,460,300,032,457,909,350,663,294,945,909,217,514,276,761,
897,496,680,100,808,063,012,674,039,117,330,145,452,601,463,326,278,239,716,
112,343,129,697,682,021,059,306,687,316,481,885,253,940,027,581,705,589,347,
775,186,995,091,648,149,904,679,940,657,439,408,782,351,753,738,670,115,872,
127,250,195,054,969,947,468,539,760,773,361,522,785,737,422,592,984,801,832,
060,010,903,261,921,766,797,521,614,688,197,519,172,671,197,306,515,590,924,
753,457,904,350,326,397,776,148,501,443,379,643,069,258,156,084,705,448,468,
655,526,912,570,731,211,705,234,600,804,550,108,591,900,244,806,124,195,171,
750,245,801,929,100,499,121,628,934,501,976,798,238,498,968,548,439,613,715,
258,603,788,567,486,421,245,426,263,442,802,672,590,054,374,377,873,396,206,
987,319,487,361,297,922,378,717,404,087,846,604,352,074,090,278,110,292,176,
948,422,030,936,316,928,324,882,199,958,826,191,780,942,473,886,742,145,520,
768,761,250,688,356,690,323,901,694,935,177,357,076,171,167,549,096,675,761,
264,304,997,645,027,475,744,673,282,070,225,518,072,151,329,605,379,349,443,
049,157,614,939,383,492,341,970,861,557,113,080,240,121,971,271,180,743,930,
597,884,015,478,525,261,054,562,171,293,920,289,310,584,581,476,192,055,795,
350,697,058,406,711,797,776,706,188,485,597,309,922,377,990,130,942,847,190,
300,355,311,982,295,939,008,002,222,649,257,064,112,048,960,885,680,219,341,
089,556,381,172,695,255,832,955,998,677,869,037,775,057,249,525,149,749,504,
775,475,516,962,305,323,503,200,446,635,440,231,086,678,443,479,463,997,181,
635,769,280,553,383,852,793,109,254,666,636,841,812,661,966,125,787,362,585,
254,725,863,310,588,397,926,537,699,815,797,864,673,539,671,762,637,764,818,
532,938,234,079,257,756,440,039,849,292,783,156,834,843,805,819,754,252,518,
851,802,614,972,052,849,501,683,224,410,038,331,703,697,913,476,331,120,151,
717,479,671,723,435,990,209,643,305,499,259,615,256,733,254,732,041,342,148,
258,470,572,020,555,554,657,598,397,472,075,351,232,511,253,517,583,333,491,
841,606,729,775,344,679,758,120,320,141,627,489,634,307,253,116,688,433,932,
100,782,299,671,883,945,153,853,645,637,247,464,729,166,179,534,246,789,753,
479,841,221,015,775,722,841,765,664,535,563,197,095,450,459,530,654,299,812,
700,886,814,807,273,816,186,169,822,389,793,382,343,707,472,502,769,231,786,
073,640,715,943,080,925,840,432,681,710,828,847,567,980,643,353,343,160,959,
708,799,225,700,224,722,565,733,780,589,485,720,468,553,475,428,235,943,821,
084,290,165,395,626,189,576,951,356,048,814,715,730,628,388,322,817,107,388,
323,878,216,565,798,671,688,105,658,668,432,849,495,897,695,853,812,548,756,
234,874,297,186,674,761,778,912,167,975,964,370,492,061,683,946,479,674,703,
536,120,882,191,834,203,368,768,957,053,309,033,831,867,570,204,217,212,025,
264,178,906,816,273,132,738,068,465,972,447,539,779,873,556,119,443,272,290,
853,739,428,108,196,126,162,628,106,443,423,868,857,489,304,788,439,121,546,
317,786,853,482,904,015,788,049,107,564,617,760,009,872,752,556,018,327,243,
179,909,202,265,763,197,529,473,731,236,755,094,036,010,365,308,815,588,731,
445,607,949,368,861,427,709,847,330,020,519,707,300,282,259,137,016,267,159,
594,263,972,347,667,321,009,739,363,834,339,951,371,525,634,869,389,481,702,
896,860,546,159,436,486,946,069,501,391,731,555,311,639,189,314,423,769,571,
471,152,244,570,383,866,055,597,994,968,047,316,771,736,234,379,463,426,849,
230,346,576,512,557,483,928,620,539,881,864,141,076,632,588,119,836,993,725,
114,599,502,863,828,270,930,513,364,241,720,139,483,307,962,689,135,630,050,
196,871,799,108,738,060,714,272,274,591,819,121,386,249,115,654,125,426,384,
544,730,767,153,491,916,555,525,276,721,277,013,199,918,138,609,937,346,045,
223,984,251,070,936,496,561,514,651,679,748,056,231,429,885,186,418,054,755,
528,981,433,388,242,053,944,594,731,888,159,248,285,930,508,635,701,802,512,
400,956,324,398,963,936,643,704,320,354,191,244,914,503,520,392,932,360,071,
204,747,822,497,673,947,465,442,181,908,562,845,214,867,875,346,018,991,322,
267,710,166,729,125,855,646,120,987,692,648,581,718,673,441,717,562,523,965,
188,687,131,831,930,975,901,203,374,709,340,369,770,444,843,451,796,116,622,
074,171,315,522,941,338,949,584,442,505,491,962,018,924,987,178,889,375,173,
562,986,621,861,945,209,009,913,103,024,808,561,133,862,420,288,170,617,194,
680,520,348,027,481,566,695,473,481,438,241,402,318,819,780,386,470,816,766,
367,744,655,060,035,414,680,375,615,409,601,044,454,391,925,526,636,362,922,
671,422,252,302,270,705,949,951,825,742,676,360,501,357,398,204,304,385,360,
132,419,778,312,260,246,364,547,559,790,032,569,143,659,848,538,406,857,239,
497,091,823,590,869,908,596,841,747,730,650,871,011,545,590,902,713,851,643,
514,858,152,657,124,333,219,416,531,380,188,391,227,767,846,218,543,296,159,
214,187,914,960,266,032,003,612,974,891,073,000,140,307,625,998,054,647,014,
032,869,906,499,231,010,010,854,322,061,591,841,132,694,970,191,113,672,291,
153,900,070,020,119,876,505,323,403,333,895,202,299,970,818,557,195,430,610,
553,672,202,854,958,262,447,060,053,748,226,831,101,067,181,772,357,048,258,
562,455,660,078,487,851,418,528,834,104,857,158,395,274,832,648,400,681,297,
378,081,691,887,418,628,234,494,888,655,944,806,106,335,076,630,008,248,049,
497,322,432,146,214,340,011,361,541,560,360,777,216,725,200,988,213,019,745,
560,640,964,617,701,976,828,291,859,748,091,553,332,168,237,277,541,551,771,
761,932,466,491,678,666,485,936,894,419,522,253,231,279,333,514,293,799,905,
313,543,147,113,642,495,216,316,056,798,448,693,243,443,732,994,539,987,467,
539,545,501,391,106,610,598,958,441,693,919,924,841,005,441,034,960,559,220,
461,101,903,956,963,511,292,313,373,284,895,405,475,820,165,577,779,751,419,
100,980,371,528,566,636,415,107,333,614,159,140,188,019,616,301,307,046,987,
219,239,497,658,896,239,100,759,259,737,816,322,394,419,768,443,085,086,779,
891,747,742,498,621,274,087,196,309,031,298,530,441,533,282,262,690,960,907,
942,803,856,631,557,002,282,447,943,268,028,545,288,170,697,341,858,935,323,
909,801,757,684,698,058,752,122,123,539,268,169,087,999,892,209,968,441,946,
916,481,766,946,927,763,597,606,136,599,939,820,124,793,377,156,554,325,037,
497,997,242,204,973,048,088,340,804,212,985,482,681,012,361,426,331,343,057,
205,240,529,879,878,262,448,935,142,366,078,148,332,835,177,706,128,689,969,
247,507,934,694,453,914,839,786,661,791,799,656,308,470,936,457,890,740,331,
207,600,040,412,559,950,393,215,549,278,434,332,358,493,246,491,025,244,038,
528,479,261,949,767,253,838,295,848,429,610,329,002,167,979,751,682,263,725,
690,893,401,734,584,281,066,737,933,817,831,351,770,915,372,276,762,314,319,
535,995,553,503,269,399,754,243,390,070,757,061,592,852,311,218,539,982,169,
307,135,618,824,600,125,413,288,052,360,037,856,927,312,964,449,674,763,532,
550,435,132,629,577,824,678,770,314,932,668,627,032,281,363,524,216,753,815,
941,533,647,159,431,519,194,551,931,807,203,216,022,125,093,367,993,726,243,
273,188,063,303,496,754,110,704,183,872,171,918,337,152,143,844,427,916,047,
144,586,767,400,789,196,629,681,748,956,785,916,733,393,390,094,475,627,488,
250,161,616,766,601,955,161,044,889,156,708,187,049,222,803,769,031,057,709,
568,845,707,852,146,130,024,568,809,190,459,102,118,855,643,129,166,538,289,
748,093,466,937,439,537,523,055,794,613,505,731,813,661,345,252,993,942,084,
796,808,840,394,106,908,178,201,997,518,109,129,191,330,030,682,411,595,381,
770,005,409,847,283,589,061,712,167,899,850,971,957,569,458,903,710,713,339,
327,862,023,593,305,463,505,779,397,662,836,233,706,170,666,691,936,676,308,
009,183,966,874,014,503,328,766,054,023,027,524,372,844,712,145,377,405,385,
369,220,083,718,484,172,683,240,692,755,657,899,725,960,641,295,351,472,963,
059,610,541,651,885,772,724,061,175,101,355,478,721,563,033,867,445,529,729,
423,725,303,715,479,421,566,586,168,692,991,104,641,409,322,894,295,382,505,
124,707,588,480,108,716,767,882,921,116,061,081,690,074,568,113,396,138,737,
239,482,872,709,059,803,908,163,131,675,572,992,387,730,544,317,706,485,865,
204,575,642,317,520,539,777,153,597,610,554,168,787,710,460,171,012,362,625,
098,032,185,645,246,786,461,184,513,884,648,850,700,184,444,622,131,891,179,
190,295,929,875,355,328,288,153,438,881,435,239,283,858,062,716,153,396,672,
106,705,393,683,656,393,542,761,341,349,527,163,640,608,200,885,000,507,031,
848,586,073,133,234,240,987,259,598,062,715,487,500,060,852,977,225,640,219,
671,904,168,311,058,183,096,337,706,508,028,647,819,706,805,763,382,168,265,
492,973,715,181,105,763,538,072,277,313,166,479,884,657,594,485,898,937,434,
047,990,778,570,630,280,976,456,218,465,590,784,192,897,842,846,756,867,994,
099,491,328,446,629,059,556,743,758,800,581,389,585,555,302,885,456,226,032,
398,851,653,897,836,755,982,490,270,486,549,440,739,271,322,861,124,801,788,
876,400,600,723,071,724,124,977,475,119,569,266,296,836,924,468,837,066,069,
274,010,073,117,312,769,955,690,782,652,434,114,757,863,043,324,614,785,261,
264,063,001,347,126,135,266,117,089,822,694,382,278,412,965,197,109,615,499,
154,144,810,037,161,548,488,736,417,378,962,829,477,240,484,498,699,827,598,
687,031,468,149,330,525,754,672,430,586,978,408,894,117,034,142,159,638,182,
003,166,286,782,680,687,093,175,940,389,396,053,358,479,437,503,568,570,368,
996,646,861,352,216,595,978,678,346,959,042,427,770,163,715,779,399,262,549,
495,550,635,350,209,247,544,549,024,243,474,168,329,452,217,633,125,628,041,
598,660,992,718,855,188,377,882,532,890,177,847,152,423,220,365,717,876,832,
287,047,526,847,839,006,631,554,035,445,828,325,267,529,895,412,118,200,348,
133,496,753,918,193,832,059,906,639,257,062,507,112,961,666,291,099,165,299,
348,041,371,394,697,788,672,118,467,422,119,576,711,188,888,382,323,808,620,
627,166,240,339,375,169,278,185,232,595,138,612,866,058,578,962,834,228,728,
730,000,181,260,941,790,176,575,742,061,353,428,303,084,254,403,595,938,821,
698,352,525,517,265,450,347,161,289,261,411,761,103,743,118,406,689,642,056,
192,201,232,813,957,541,422,556,949,686,785,733,894,349,840,274,563,887,556,
375,520,736,599,507,875,402,808,952,027,478,871,978,830,181,547,760,390,230,
659,566,762,217,070,484,989,888,108,101,703,702,774,578,173,180,546,103,475,
225,626,936,208,796,396,532,118,744,022,513,440,158,540,591,761,091,619,694,
889,464,686,011,997,573,599,191,689,928,966,356,983,300,696,254,177,142,626,
246,956,251,916,585,877,224,051,789,317,336,619,185,758,784,990,904,545,044,
600,912,584,399,640,711,600,188,337,084,630,461,590,070,697,288,057,999,312,
360,822,902,719,739,262,024,387,213,414,948,228,388,493,781,157,598,797,902,
874,839,998,449,561,135,151,890,037,550,836,357,509,094,378,405,970,803,485,
537,696,083,755,143,887,392,178,893,981,188,811,084,768,878,915,324,029,494,
160,555,301,812,502,074,774,527,672,983,069,294,158,995,496,940,973,526,015,
798,701,372,002,473,927,700,294,585,878,861,886,472,079,618,038,524,259,062,
487,397,173,743,948,455,071,024,119,139,214,663,999,589,728,494,146,760,106,
675,553,411,184,030,038,771,405,974,188,360,596,876,762,526,465,550,678,951,
263,155,381,127,809,736,175,894,424,781,474,771,237,219,311,506,224,118,824,
193,883,613,523,379,724,189,353,541,888,868,600,194,643,194,757,326,360,541,
392,987,041,882,549,210,836,401,909,940,268,673,679,875,471,385,320,983,946,
989,105,283,018,008,445,821,527,534,799,292,157,534,978,154,628,444,214,393,
441,567,906,379,932,172,938,700,079,846,219,453,948,475,532,065,456,878,772,
311,950,117,299,637,234,227,616,085,805,520,877,400,095,966,753,373,979,145,
321,412,069,245,729,715,813,724,585,965,444,690,015,615,204,258,910,145,500,
594,237,112,075,346,750,325,617,257,870,656,187,743,903,862,869,819,200,693,
735,295,911,909,065,944,242,448,415,271,076,145,959,903,915,835,969,806,698,
921,497,876,052,712,070,781,476,877,226,350,698,086,427,482,753,246,217,240,
970,288,231,152,638,771,160,862,795,972,556,263,833,325,493,171,218,826,230,
228,859,879,494,242,049,296,897,015,985,291,690,611,132,653,262,874,055,745,
572,476,768,267,911,837,829,388,449,734,227,549,791,045,995,622,109,728,270,
755,111,516,322,489,474,147,249,330,034,235,798,857,494,871,484,979,230,907,
814,783,124,050,766,981,126,077,388,955,809,980,142,805,143,986,070,615,175,
412,479,141,026,324,640,797,316,029,486,818,954,415,414,111,429,512,557,696,
617,411,160,665,905,864,011,886,377,747,366,472,448,883,843,030,812,000,498,
247,169,247,840,920,785,537,348,776,019,197,801,483,356,356,755,746,544,229,
887,524,703,128,699,884,130,690,576,322,906,986,389,587,609,456,524,265,770,
332,538,367,127,642,543,875,559,235,877,778,631,231,035,754,194,421,515,589,
108,367,356,073,611,848,989,815,351,774,536,046,211,573,268,544,850,459,119,
053,937,913,426,650,471,125,892,901,555,431,470,241,350,352,426,785,636,468,
226,927,401,245,669,756,238,160,758,871,784,539,065,925,005,894,205,868,542,
116,001,313,913,073,404,567,268,197,336,237,124,495,745,274,649,337,882,395,
859,575,827,341,255,429,185,828,213,266,090,976,986,008,526,499,336,828,580,
100,654,454,412,606,248,068,988,792,045,575,597,139,843,377,521,752,240,896,
285,968,127,167,259,391,108,170,008,795,420,860,258,299,006,259,499,647,402,
427,407,865,977,782,707,155,412,176,087,928,919,410,848,238,105,188,242,657,
258,047,667,829,452,350,083,268,976,427,228,890,991,695,184,397,250,755,629,
086,990,414,490,561,784,373,859,748,667,325,352,500,632,085,861,670,991,973,
583,801,797,854,418,288,244,176,225,755,331,411,453,478,186,110,908,808,939,
929,874,420,048,228,742,303,827,176,626,876,598,776,618,938,372,195,866,232,
146,375,671,451,862,489,441,560,546,378,354,982,653,019,523,742,557,505,431,
076,861,667,809,230,418,614,266,669,197,888,067,970,975,069,875,369,434,438,
559,717,686,226,437,293,018,619,680,353,167,394,174,123,036,270,161,564,736,
284,295,955,602,103,530,418,517,553,941,781,880,456,329,863,291,444,286,421,
780,792,470,593,633,844,533,566,931,853,989,294,819,565,649,014,590,451,975,
141,904,782,989,836,204,254,821,593,662,208,970,518,393,457,185,101,292,956,
155,173,719,854,685,917,388,478,737,270,937,520,408,676,285,321,200,556,351,
408,974,823,362,164,825,209,855,343,721,775,741,920,924,601,689,524,710,148,
169,020,364,148,929,436,185,684,631,597,432,854,576,629,117,658,821,791,756,
743,174,583,149,988,177,304,023,991,704,135,988,770,407,820,684,615,994,916,
829,105,851,253,826,227,773,920,756,459,668,735,494,687,661,931,143,749,544,
018,838,466,206,145,349,230,777,058,034,442,090,081,004,359,185,602,639,210,
774,413,489,314,273,222,208,696,215,476,529,991,806,276,569,856,441,723,166,
066,378,192,369,696,805,255,320,292,424,550,596,456,818,102,737,644,146,626,
375,053,126,300,637,460,154,024,383,724,223,266,013,988,519,002,929,556,333,
492,666,003,725,302,746,033,630,965,523,655,959,365,458,735,432,083,514,151,
875,380,982,903,802,251,687,413,586,748,106,675,920,946,901,333,745,326,996,
961,626,468,098,937,340,107,518,530,035,366,910,401,901,032,882,672,397,156,
887,686,221,281,290,590,619,754,559,765,904,054,668,996,456,703,050,153,174,
217,795,101,734,941,854,807,975,264,679,177,831,495,475,564,221,562,253,125,
160,457,947,222,284,769,486,358,249,055,955,691,130,547,969,294,779,133,488,
970,029,702,800,614,651,641,550,370,416,265,263,868,370,747,340,810,236,677,
485,175,722,293,124,289,934,279,890,735,779,240,605,040,877,332,708,371,837,
683,359,456,957,327,896,418,436,336,298,990,514,944,501,760,226,407,188,619,
907,170,672,016,831,238,398,596,823,447,314,465,167,903,494,484,311,891,841,
174,887,054,907,986,943,050,792,946,234,213,287,782,821,719,808,101,256,067,
868,024,164,895,546,762,344,926,145,233,260,979,324,789,435,253,110,545,938,
934,913,517,910,019,420,435,195,896,877,293,853,114,564,990,079,152,624,988,
903,704,681,559,828,738,691,177,666,784,587,226,475,361,561,888,585,842,200,
924,838,618,736,670,558,061,649,145,724,112,456,072,726,497,978,777,892,880,
241,750,805,877,745,847,637,430,769,642,461,592,873,582,382,913,115,063,180,
510,464,473,035,108,781,369,452,888,000,199,196,193,863,566,849,176,435,001,
792,042,205,856,061,951,840,637,999,741,182,114,427,323,170,616,619,856,991,
966,687,055,172,543,468,411,935,431,498,853,077,717,850,756,941,348,285,762,
915,432,250,018,129,367,353,080,221,045,949,106,340,304,694,509,076,990,775,
379,753,776,517,391,230,082,388,265,017,381,719,310,733,490,873,373,699,982,
934,104,245,562,638,479,469,868,772,868,532,785,529,832,260,276,082,091,543,
477,751,727,417,513,912,843,264,532,885,957,456,487,410,007,678,681,277,329,
089,569,976,461,937,451,913,995,035,240,961,376,479,602,442,381,096,153,603,
892,120,972,393,640,842,336,825,263,647,120,754,041,931,047,334,613,788,706,
227,430,683,898,919,572,811,539,452,073,909,664,984,222,439,723,633,820,995,
414,135,156,782,628,936,789,105,569,901,411,684,880,210,093,071,462,023,651,
676,583,272,532,863,346,195,747,634,546,784,244,824,084,072,557,976,493,612,
179,861,975,482,870,871,284,620,600,198,298,504,931,344,568,819,005,109,662,
881,952,253,569,021,591,033,368,195,619,724,337,814,047,566,863,718,797,835,
564,575,742,620,566,435,076,522,242,155,836,633,449,367,238,593,839,823,220,
836,851,857,270,505,467,598,480,667,851,711,095,185,719,193,796,030,140,361,
027,066,531,657,841,333,373,175,404,305,123,913,738,265,685,639,830,671,204,
478,702,792,346,791,340,268,720,360,828,519,564,880,609,034,288,057,712,481,
723,956,838,040,191,998,105,841,260,208,395,305,507,345,273,411,623,060,021,
278,900,726,394,787,157,963,785,740,687,908,119,328,078,465,987,848,453,170,
488,894,385,775,886,813,985,759,323,245,719,248,026,483,589,244,757,128,306,
475,090,762,818,472,380,024,047,650,402,881,907,137,138,260,922,138,053,402,
732,419,025,708,411,569,575,569,133,109,870,872,289,836,519,782,376,071,903,
080,997,079,135,778,370,706,025,559,760,159,698,940,725,305,716,413,050,672,
470,412,600,543,084,237,622,090,151,862,388,592,520,139,280,969,726,457,504,
748,920,814,401,151,109,164,792,319,644,154,215,494,038,931,243,256,259,724,
157,361,641,000,487,841,883,690,915,495,635,918,517,978,147,446,261,556,709,
429,787,533,413,165,850,340,468,056,704,341,658,827,995,790,634,600,852,218,
969,435,022,407,031,836,762,635,505,994,381,063,071,297,975,808,258,809,385,
574,064,082,938,090,539,312,397,211,598,631,751,597,101,635,685,792,786,538,
093,365,662,040,671,613,923,805,447,594,811,223,474,647,802,988,955,173,723,
929,141,097,666,145,349,323,274,025,554,658,354,484,787,306,397,945,863,923,
223,334,112,525,545,742,076,852,870,996,068,471,628,261,069,911,529,940,128,
607,484,490,289,532,471,116,967,558,344,626,617,155,259,665,413,954,084,701,
759,266,865,530,552,511,262,614,393,568,847,688,757,769,253,562,759,085,770,
634,561,415,415,759,810,244,720,850,498,137,208,112,934,410,399,496,655,783,
551,846,497,321,235,341,762,830,996,705,245,304,099,022,783,595,261,924,553,
481,014,482,956,599,840,462,084,395,624,057,183,927,215,461,897,103,037,460,
463,027,535,041,460,060,292,739,081,671,281,391,824,344,607,355,386,705,364,
747,905,268,502,908,918,274,901,618,628,817,984,755,140,851,696,791,230,954,
135,801,652,095,176,766,806,257,502,050,706,851,712,138,600,037,815,159,278,
307,972,639,037,199,648,572,731,259,047,933,599,914,357,996,948,715,652,083,
096,387,416,054,538,816,627,157,144,841,395,322,148,439,239,001,016,158,003,
411,033,208,994,912,445,000,846,379,931,231,978,870,698,042,192,435,559,632,
489,892,496,171,073,650,504,720,902,383,566,148,150,853,538,075,619,725,485,
175,656,696,555,998,149,614,191,802,296,040,492,829,733,096,332,548,079,095,
566,967,792,500,553,782,658,778,820,620,674,255,516,716,762,587,906,426,157,
113,509,006,804,611,314,591,482,749,045,194,925,412,249,223,705,648,316,726,
446,596,720,245,357,567,965,345,494,634,550,371,849,124,266,344,562,858,538,
773,138,852,191,873,151,967,363,831,856,505,131,637,790,069,068,326,943,011,
536,297,696,525,642,797,782,414,559,127,104,426,282,584,601,776,857,817,095,
129,579,401,830,542,954,426,308,882,043,257,344,226,426,865,024,428,239,149,
552,785,625,136,233,340,276,103,887,063,176,874,792,736,931,932,499,473,153,
749,863,889,040,355,957,237,749,317,452,872,707,408,044,361,130,205,822,791,
505,414,746,322,569,581,015,245,375,112,183,346,179,779,732,737,877,341,464,
870,066,235,074,903,821,780,272,487,117,707,442,273,634,282,412,906,957,505,
788,577,742,907,602,247,922,726,321,639,911,159,235,009,614,135,984,476,726,
995,892,980,889,698,526,655,021,302,146,541,269,533,635,744,985,265,971,465,
675,217,877,159,009,856,130,345,682,309,124,454,909,811,946,863,682,092,901,
926,756,833,147,478,599,750,945,073,075,470,879,204,074,382,878,356,493,262,
584,863,249,603,008,432,751,131,299,668,302,443,565,414,180,641,407,076,803,
305,263,278,532,348,358,824,860,007,184,662,977,934,134,811,093,479,686,652,
266,830,313,164,504,112,340,653,393,156,326,126,373,495,210,954,478,234,362,
767,311,765,526,843,283,523,900,985,766,942,883,407,849,121,484,295,946,588,
748,487,051,899,586,478,884,717,632,130,636,975,832,280,846,249,582,671,487,
286,261,852,243,542,643,956,082,611,668,786,547,211,424,414,592,625,548,796,
346,463,716,916,645,265,233,190,966,925,529,564,650,477,653,079,040,300,961,
929,356,443,788,878,020,088,420,466,288,230,945,585,962,146,450,503,871,174,
903,708,935,081,918,889,324,579,496,511,762,405,012,680,450,174,086,109,742,
320,704,290,124,209,658,012,972,161,788,454,965,390,005,297,881,976,435,340,
517,788,105,680,684,836,385,135,865,621,870,066,332,333,070,999,974,196,476,
639,116,172,862,673,381,010,347,678,807,325,003,222,653,530,313,317,239,193,
179,614,480,516,157,115,544,431,916,049,414,557,241,712,767,601,768,652,272,
707,328,566,143,204,705,135,522,402,350,641,073,754,413,303,758,187,687,515,
400,799,482,333,026,932,935,182,627,851,719,144,480,652,624,285,282,190,943,
123,258,906,052,639,480,673,287,239,459,692,440,993,550,201,234,552,184,925,
571,874,712,868,731,561,146,647,683,515,690,638,840,164,770,196,673,463,639,
057,417,222,815,599,115,535,895,883,391,109,256,446,682,628,423,093,480,261,
438,079,211,368,489,416,590,194,872,571,246,505,172,728,593,430,444,541,550,
318,633,626,402,475,109,166,368,865,190,455,801,348,898,338,516,091,442,831,
392,855,312,836,929,357,345,244,981,027,700,004,958,358,889,780,300,033,584,
055,595,124,487,654,196,642,959,310,602,166,565,221,730,810,842,596,784,599,
216,826,539,507,393,030,535,940,883,085,350,929,409,976,033,792,617,253,686,
926,811,075,922,952,869,651,840,109,984,988,517,184,691,271,189,963,013,527,
474,038,456,110,030,598,757,233,179,563,368,904,871,777,369,662,641,879,707,
478,309,508,594,802,905,593,596,404,668,985,560,651,800,162,426,741,140,599,
468,578,338,531,567,989,492,900,329,431,845,033,233,009,207,013,570,711,828,
223,883,189,021,556,548,279,467,518,315,916,379,547,485,911,904,451,282,891,
821,175,677,500,756,704,066,659,085,492,390,420,917,889,072,847,310,274,513,
746,924,579,945,011,928,764,787,768,559,637,347,645,650,940,718,004,810,185,
459,618,635,078,437,321,351,011,822,499,469,178,253,637,131,759,157,295,909,
340,120,660,829,414,562,948,076,885,832,374,305,376,271,549,028,643,516,725,
687,396,540,874,516,738,949,524,393,156,338,546,714,383,337,454,766,114,269,
372,056,961,179,645,767,456,218,931,957,111,547,455,278,054,285,211,100,257,
189,126,706,330,768,129,592,486,541,060,541,811,040,609,845,026,151,981,379,
687,904,345,297,273,498,598,406,729,743,380,038,748,517,515,479,060,646,775,
985,978,499,474,518,776,376,524,008,348,995,239,699,623,731,647,421,754,729,
464,515,776,708,720,945,141,784,294,912,872,404,269,251,774,421,616,863,724,
382,294,215,998,258,335,231,795,468,792,431,750,978,669,058,957,738,102,697,
092,671,038,151,908,480,349,686,889,712,749,638,153,681,428,147,488,919,104,
084,185,947,997,258,860,729,868,150,035,710,267,876,801,315,370,022,043,206,
966,299,076,502,526,774,129,008,938,267,078,701,274,475,647,352,559,645,980,
165,951,920,229,142,332,319,104,167,068,807,644,335,257,252,995,547,067,595,
128,585,170,254,729,811,210,845,609,606,717,675,189,202,484,729,345,913,263,
491,221,597,319,223,510,614,021,179,654,525,303,429,870,384,450,290,908,449,
621,192,067,958,750,164,416,540,841,345,352,846,856,202,213,311,282,525,821,
586,281,102,919,859,703,634,896,506,281,165,157,491,875,849,112,884,946,669,
686,009,076,556,706,028,508,020,565,841,993,096,096,494,780,846,066,551,496,
227,159,623,997,007,585,752,075,758,791,743,081,542,884,091,156,738,288,362,
579,598,856,624,083,337,709,337,878,292,437,077,578,631,598,376,385,980,809,
067,314,639,526,892,530,386,702,439,925,134,399,219,263,602,159,140,943,990,
455,979,893,470,691,909,133,716,467,277,648,110,550,440,378,240,355,761,701,
472,950,552,069,132,320,366,087,487,964,463,626,411,176,048,640,355,957,924,
671,372,465,444,809,249,525,620,676,800,341,112,975,687,109,346,661,847,623,
885,915,139,539,784,014,438,499,774,738,710,082,557,418,251,378,489,246,018,
709,000,798,030,615,677,123,413,601,641,651,737,253,289,935,412,524,162,487,
986,799,768,296,191,612,122,394,534,709,686,387,996,869,795,857,290,579,411,
906,031,480,775,163,196,956,213,348,396,203,888,362,988,163,069,817,307,136,
884,642,996,194,942,129,063,434,589,221,456,454,260,959,988,852,138,679,327,
592,330,113,509,655,372,008,721,767,950,669,577,608,877,388,558,934,604,806,
140,392,566,725,758,121,252,424,791,146,106,581,923,862,384,804,970,836,689,
036,837,225,675,233,135,048,633,028,101,721,617,953,887,101,704,528,317,901,
305,558,094,577,807,185,308,405,669,729,151,043,814,812,414,511,935,961,111,
179,208,214,178,048,004,669,434,688,016,623,527,548,661,781,414,537,673,352,
325,436,114,965,632,678,480,611,939,953,173,401,253,538,929,089,420,615,922,
762,973,904,523,910,223,359,062,313,942,719,178,730,541,907,120,528,218,844,
074,812,689,397,451,174,946,036,004,049,305,478,832,184,973,744,431,543,940,
284,875,315,308,968,159,119,994,987,616,093,773,316,795,298,457,540,640,141,
209,283,568,411,167,328,637,798,350,048,242,992,093,252,003,520,593,898,445,
246,055,236,324,261,743,897,452,652,897,811,945,697,878,037,339,040,332,356,
109,261,328,209,842,788,987,906,502,491,002,718,276,947,319,246,845,861,791,
079,150,281,008,905,278,657,479,061,510,893,337,687,444,042,397,224,052,933,
843,738,176,417,923,321,248,091,756,291,354,157,013,243,978,985,437,418,842,
212,785,709,487,165,739,854,877,584,974,735,666,807,181,771,639,771,759,697,
033,007,685,564,292,542,918,211,420,897,163,989,196,424,348,731,352,556,508,
024,242,008,321,373,646,718,071,519,012,412,023,621,278,275,539,382,712,505,
031,763,207,510,041,035,970,265,337,806,455,643,415,541,425,155,337,350,238,
594,436,247,814,317,770,999,343,686,102,075,817,368,474,713,685,683,971,562,
808,859,966,396,262,121,600,950,972,497,310,431,832,133,724,977,170,083,028,
736,574,184,758,520,970,315,734,942,930,813,351,078,835,050,596,878,468,766,
861,276,544,353,181,383,648,064,735,577,030,189,916,056,876,618,841,179,902,
876,707,931,974,865,877,164,304,801,873,744,501,503,355,721,172,632,138,799,
549,235,560,054,480,525,498,347,742,745,718,022,965,601,801,048,660,086,046,
761,718,007,763,947,781,426,344,013,091,056,701,074,194,597,645,088,399,367,
151,884,958,017,279,354,582,144,726,365,808,949,261,812,409,951,613,957,366,
677,325,723,824,005,742,821,843,358,322,373,822,446,906,574,108,235,864,674,
154,868,873,288,609,653,577,953,024,419,682,678,711,241,815,765,470,894,539,
640,123,646,984,020,347,315,692,296,965,025,924,101,482,332,853,195,656,729,
425,670,487,560,038,676,174,234,441,138,038,182,921,479,452,077,927,581,831,
223,066,795,632,871,494,204,269,822,268,598,415,998,987,354,476,977,038,282,
117,907,444,653,285,002,009,045,678,072,216,866,285,088,817,766,535,027,598,
792,189,859,306,197,878,165,087,347,184,973,985,497,760,452,684,554,375,803,
823,510,320,680,247,280,348,923,412,911,942,120,355,783,932,521,328,845,217,
252,150,050,623,935,172,139,400,574,672,906,783,617,375,324,224,003,542,602,
936,532,890,430,267,223,715,241,477,997,810,749,465,562,499,351,129,985,625,
967,010,501,675,511,547,336,002,898,578,093,792,313,788,566,801,098,674,673,
519,547,708,613,587,585,790,089,067,606,628,593,432,919,953,478,339,779,222,
347,011,242,883,641,086,451,338,305,674,966,324,803,667,141,891,551,112,609,
014,484,213,130,832,337,559,338,898,001,439,760,299,453,932,423,610,368,316,
884,117,290,735,662,889,733,169,625,565,496,062,856,577,576,520,478,007,507,
606,023,939,344,811,960,942,476,299,740,037,595,437,749,033,474,609,304,045,
735,387,136,366,670,187,635,946,364,478,834,170,048,262,856,855,496,802,552,
105,568,182,640,059,536,424,114,045,035,116,796,584,323,403,221,392,791,184,
615,368,168,518,694,951,507,675,662,935,254,848,516,838,709,056,556,094,002,
716,903,714,820,531,940,236,159,846,168,666,782,653,017,246,312,873,709,604,
719,622,940,479,923,814,718,654,583,047,580,841,017,556,572,856,981,618,921,
309,745,393,436,133,766,611,827,859,250,423,768,561,247,419,589,969,923,041,
558,984,890,201,798,621,474,539,851,887,746,820,705,201,647,338,748,940,164,
976,706,889,598,079,067,831,383,525,309,221,692,195,820,507,660,665,030,129,
276,782,658,915,975,784,487,559,363,177,395,378,978,234,213,585,180,456,934,
215,725,733,771,181,627,861,340,504,334,902,076,171,322,110,646,961,576,316,
593,388,860,396,619,040,162,537,907,863,937,623,988,867,594,813,635,715,177,
441,785,403,881,165,961,899,287,416,597,635,797,935,501,293,337,260,007,993,
735,856,822,148,979,794,449,981,155,570,994,101,725,338,160,416,343,147,655,
657,549,321,203,948,115,414,090,658,018,804,676,557,007,427,062,994,859,898,
924,863,080,160,664,536,717,671,453,759,903,115,817,534,065,706,894,653,750,
548,723,991,193,656,669,229,602,116,456,331,317,365,619,830,991,716,007,916,
081,855,312,091,073,904,589,898,086,465,499,604,958,944,643,092,979,089,241,
506,483,518,334,372,451,459,957,781,858,785,335,625,554,682,101,256,563,356,
868,679,621,801,000,454,123,179,630,331,814,000,965,903,310,396,500,221,059,
671,838,603,813,575,911,042,786,557,641,342,744,566,723,461,675,041,109,779,
017,510,564,302,972,579,264,682,576,571,665,048,564,222,998,182,266,553,450,
723,095,580,332,104,574,989,294,319,540,390,694,504,520,827,557,668,585,480,
594,044,385,611,140,224,325,809,281,236,594,344,364,167,657,494,014,478,896,
279,537,889,760,219,657,148,302,297,132,891,006,323,664,015,007,362,778,353,
533,929,902,322,676,602,597,895,567,803,776,675,564,100,042,260,691,747,807,
329,126,412,008,497,971,908,869,772,164,881,995,512,702,470,448,249,878,156,
389,455,586,669,425,733,743,912,634,830,660,848,962,460,060,269,990,363,928,
033,720,175,522,652,894,870,449,225,825,931,000,365,786,849,154,900,944,069,
968,448,870,387,119,861,293,406,843,727,045,262,708,464,573,509,011,574,695,
331,362,921,353,552,077,741,978,852,125,762,221,701,070,675,450,517,341,333,
846,843,235,171,335,986,392,362,192,711,031,778,434,156,176,118,990,310,575,
397,944,270,812,726,030,935,511,232,777,748,376,967,019,092,104,433,932,717,
955,220,015,462,486,927,121,475,539,994,687,713,169,056,553,188,536,046,031,
908,071,397,882,590,770,144,138,207,829,322,446,293,792,447,776,413,835,724,
627,882,432,426,981,099,981,201,098,005,900,645,115,600,169,866,871,627,363,
012,515,097,049,638,591,106,435,077,698,802,401,099,734,731,925,748,757,835,
525,167,691,266,372,962,667,070,307,841,587,057,554,648,443,173,791,826,655,
267,090,302,863,538,779,861,512,844,521,662,664,505,847,326,228,124,723,691,
384,219,833,080,358,324,045,936,211,173,728,996,353,712,246,014,915,962,903,
093,370,617,764,796,644,350,462,551,876,613,850,997,234,137,202,087,599,699,
721,297,738,202,549,758,651,835,852,111,910,008,090,494,206,557,931,422,271,
546,467,997,566,115,849,766,580,835,923,239,793,259,143,405,122,586,329,847,
721,371,853,495,497,698,005,607,903,967,069,553,840,797,738,684,152,747,727,
650,064,514,509,458,466,910,201,024,672,437,164,922,129,250,500,535,858,524,
838,463,468,372,054,470,091,391,408,645,273,963,891,362,572,989,605,627,811,
433,738,436,433,875,089,954,247,436,850,779,761,971,112,295,798,245,248,284,
626,846,708,788,002,473,838,510,834,134,076,243,036,426,166,602,086,902,061,
246,730,499,720,168,999,142,274,960,487,518,444,427,616,853,290,864,953,967,
257,058,413,950,783,325,504,861,038,187,803,135,013,169,292,053,474,737,517,
991,183,408,705,483,014,083,386,318,078,649,518,302,764,722,976,734,343,091,
171,344,217,341,931,188,187,280,335,761,032,681,606,761,536,914,062,386,060,
087,421,317,241,265,345,721,469,819,669,057,021,497,070,076,131,465,430,619,
771,728,393,965,463,179,251,814,569,419,989,547,212,313,116,568,830,924,000,
716,292,551,582,642,317,283,383,406,764,789,910,273,191,126,237,819,531,463,
643,041,958,621,305,123,361,459,694,357,115,856,674,622,108,549,060,490,490,
768,013,808,567,240,231,017,456,213,232,410,327,888,138,251,231,391,360,684,
114,009,251,457,070,790,708,787,442,413,583,391,280,187,548,334,865,096,297,
029,033,933,786,663,703,866,625,455,497,735,332,388,479,298,140,159,975,868,
863,968,508,426,245,475,418,934,176,471,554,978,754,305,937,251,138,408,481,
093,226,136,489,260,632,036,834,934,492,383,098,379,821,674,752,278,406,467,
021,362,919,027,875,687,329,037,636,596,602,783,153,063,475,171,159,992,246,
363,716,789,998,805,031,985,806,390,742,189,540,937,586,289,705,066,144,039,
839,835,129,370,311,796,181,384,580,707,983,311,994,630,634,618,714,430,484,
667,435,687,490,976,322,764,034,726,283,188,501,655,117,640,381,864,955,316,
491,845,358,304,098,541,533,123,760,262,003,639,473,985,986,031,323,619,527,
855,973,569,903,874,972,700,215,383,350,105,432,989,029,594,416,067,981,756,
890,280,367,066,739,825,656,412,871,838,472,710,490,019,931,364,445,569,625,
293,926,288,940,658,861,066,062,853,880,293,832,838,403,635,155,259,743,945,
787,521,250,474,710,919,409,117,339,016,974,288,449,349,696,544,594,832,598,
790,189,138,042,816,321,277,060,140,311,478,472,926,257,357,740,674,159,974,
175,641,358,091,762,834,781,071,822,509,714,376,273,510,981,918,425,922,659,
509,279,110,351,739,048,442,295,040,137,153,712,158,153,393,274,658,883,747,
857,957,057,897,049,918,411,558,288,291,074,644,002,530,703,734,555,734,516,
549,287,712,258,290,274,771,136,198,776,180,800,214,190,922,075,388,399,376,
157,927,133,727,893,196,219,493,144,204,972,771,231,129,072,433,990,387,564,
952,567,388,333,086,944,673,123,948,215,159,594,345,370,147,268,071,271,983,
995,921,980,497,867,623,065,018,186,149,725,740,240,964,116,540,053,118,013,
274,298,887,464,776,081,047,683,045,734,362,089,617,314,830,997,917,287,413,
918,721,034,458,775,082,122,359,136,354,533,545,989,186,650,461,692,559,917,
130,784,673,981,344,059,563,529,610,592,655,298,835,240,812,926,690,775,768,
146,496,777,930,158,405,850,202,921,271,219,167,832,524,303,238,920,475,334,
165,994,257,097,449,548,547,258,756,583,404,556,084,530,194,782,896,705,902,
639,571,596,943,357,633,186,781,989,642,910,516,966,532,479,358,771,707,422,
516,568,244,116,453,773,891,063,707,326,644,168,015,896,701,480,391,448,390,
544,191,717,942,817,986,791,398,905,874,716,062,732,852,245,956,409,662,428,
045,093,480,218,227,354,895,281,827,985,152,582,985,604,479,109,406,730,600,
732,382,179,155,729,913,165,918,422,458,298,166,818,852,336,556,326,456,053,
423,355,835,534,916,758,888,067,387,427,358,365,489,371,858,013,045,884,692,
167,329,672,347,718,224,740,602,117,151,676,175,657,304,913,795,324,450,251,
247,148,366,264,027,192,907,855,893,849,777,302,136,381,433,084,179,461,214,
851,349,233,028,004,922,801,943,325,937,718,066,484,414,819,382,938,963,163,
859,013,788,126,405,839,184,728,646,041,782,066,688,874,829,374,453,954,924,
111,917,947,335,091,203,107,384,020,725,869,694,814,611,603,922,667,791,324,
807,233,747,882,535,293,886,184,653,845,383,474,790,520,028,484,883,527,370,
525,886,240,795,167,962,475,383,764,275,222,478,062,919,195,115,871,087,761,
816,093,839,327,410,833,491,645,544,389,805,575,843,857,754,003,958,697,422,
486,320,051,585,628,579,396,295,867,448,770,187,257,133,730,330,340,281,925,
976,814,992,289,493,419,300,080,347,540,749,629,803,125,624,303,015,633,142,
722,905,328,800,748,773,229,219,228,407,770,749,380,404,110,740,207,908,821,
248,112,839,736,942,507,189,806,403,664,797,700,415,672,900,918,312,944,457,
342,195,691,264,585,574,858,007,765,548,532,828,825,817,841,865,094,575,948,
823,596,614,208,932,851,002,983,059,653,500,287,121,173,457,079,558,982,825,
603,540,618,932,286,158,223,082,867,875,457,371,554,297,666,911,872,415,917,
438,758,803,740,766,562,423,481,694,105,993,088,396,288,302,146,174,428,284,
299,706,311,502,228,484,857,636,906,636,816,960,307,268,712,665,537,806,314,
381,717,186,865,349,932,912,729,736,174,271,278,566,432,647,226,392,049,971,
082,203,477,521,084,612,292,893,785,619,975,226,663,318,635,994,585,863,723,
940,153,601,396,481,825,383,855,433,513,420,278,648,601,650,731,502,220,864,
091,180,728,965,419,208,179,682,278,365,754,890,481,466,080,557,214,083,206,
841,719,374,497,476,376,969,056,534,260,860,385,592,535,607,756,090,750,879,
328,408,366,595,787,255,349,801,768,498,535,920,814,907,860,994,015,122,067,
676,168,635,252,751,749,918,461,938,015,615,604,400,978,432,356,710,337,681,
732,315,662,474,957,903,794,150,104,513,440,429,881,642,313,815,309,440,551,
850,117,414,826,459,045,812,105,792,218,890,431,389,067,569,397,792,761,671,
148,117,437,405,203,134,321,895,728,715,319,349,309,780,199,246,680,939,661,
888,843,580,764,571,345,513,248,349,781,030,896,233,383,632,008,932,052,265,
911,313,672,726,914,252,473,553,452,267,794,873,287,462,188,279,732,397,629,
790,281,461,592,367,099,392,828,598,311,888,303,665,314,706,266,529,772,811,
545,329,985,907,920,676,186,489,962,549,637,829,763,992,015,666,538,790,036,
896,855,595,548,428,783,814,528,846,105,611,944,265,973,264,255,019,938,712,
452,036,558,667,663,292,551,988,066,259,374,370,250,277,227,672,676,306,491,
603,893,151,968,567,102,031,112,172,430,169,824,005,495,304,770,552,028,020,
876,912,285,232,390,505,891,189,956,611,893,040,372,983,102,728,328,743,651,
619,290,086,037,137,517,707,091,028,921,348,662,519,299,974,703,142,862,385,
401,887,125,141,697,742,921,955,270,365,454,506,441,786,203,298,933,951,363,
392,218,583,203,722,373,114,115,399,082,084,738,261,842,807,824,195,137,655,
797,053,485,315,438,864,861,534,343,928,629,258,302,513,724,670,302,454,645,
019,540,880,188,173,445,708,370,569,426,158,119,774,143,057,071,536,687,990,
658,631,439,955,960,854,247,991,656,731,308,683,699,966,456,605,880,257,471,
544,601,004,161,206,953,983,105,441,948,102,291,778,050,679,750,019,673,353,
736,253,818,160,660,362,505,012,545,310,194,852,124,123,370,096,942,289,638,
038,045,982,328,913,837,459,481,676,669,493,052,294,880,737,536,394,516,531,
652,198,832,383,543,952,866,378,045,311,070,824,735,264,186,515,438,983,927,
668,494,735,610,276,021,897,621,401,162,947,567,274,319,587,845,627,297,625,
721,435,279,676,672,429,213,993,827,307,255,539,897,927,188,926,902,823,495,
076,610,346,332,586,828,390,906,645,858,643,329,188,291,250,038,720,532,023,
861,762,253,558,662,497,077,879,459,522,209,594,452,436,572,823,655,118,471,
776,813,049,183,929,369,753,972,611,722,619,778,206,664,454,411,283,694,579,
395,421,056,125,910,176,896,984,763,658,591,679,689,215,178,755,446,347,774,
203,044,544,925,787,141,297,436,205,359,803,421,527,716,648,567,779,188,461,
859,663,606,185,055,580,727,444,712,680,755,988,048,316,479,838,462,908,494,
620,391,844,088,268,392,676,348,332,041,608,580,589,116,160,955,445,340,640,
283,345,967,101,370,106,456,227,897,671,192,059,287,890,978,136,913,583,752,
608,058,486,129,887,009,402,376,382,625,570,261,609,841,154,957,941,862,028,
690,481,128,276,748,068,629,782,144,425,482,852,597,736,159,903,798,878,852,
038,647,478,498,522,285,484,521,731,381,722,703,996,519,245,996,028,767,778,
338,182,037,242,818,142,134,285,544,302,798,589,026,534,864,820,978,464,012,
351,341,817,717,367,056,504,076,523,585,230,992,688,460,484,192,928,190,544,
429,635,237,437,223,369,780,939,354,805,375,815,242,393,076,498,865,259,614,
365,803,427,943,201,548,747,859,758,041,244,837,273,655,942,218,548,886,562,
710,761,006,410,895,953,550,744,041,192,703,848,691,829,095,781,286,512,660,
336,493,154,990,380,014,180,270,544,186,978,479,863,826,605,638,776,399,225,
673,421,313,834,272,418,440,598,724,851,558,332,725,069,911,750,525,596,041,
898,703,662,080,856,402,736,456,291,445,180,125,181,162,583,604,335,665,694,
692,472,930,199,010,246,152,797,977,793,019,463,695,055,344,841,766,047,296,
356,706,698,241,530,294,013,536,863,914,215,963,252,962,753,460,516,693,752,
821,607,915,587,948,149,707,753,783,888,605,380,719,816,820,895,706,475,139,
162,992,719,786,751,540,540,009,366,045,661,552,923,194,815,314,262,616,575,
939,164,678,299,152,993,006,131,359,751,138,151,497,968,458,612,152,990,984,
982,548,765,549,294,716,107,507,326,217,039,091,309,378,833,085,319,475,130,
419,186,383,420,784,346,911,944,855,088,755,923,500,138,672,014,598,851,271,
916,841,339,309,204,722,029,043,982,566,927,709,892,978,954,302,827,827,025,
195,163,168,917,729,473,678,753,020,427,263,694,344,394,810,319,990,050,445,
962,484,986,822,075,186,081,322,592,185,527,948,938,018,789,106,170,023,107,
712,087,395,693,086,703,203,844,938,800,961,823,090,859,534,441,883,032,273,
091,401,716,973,696,013,132,287,581,777,902,777,230,156,787,811,409,773,238,
532,710,920,392,556,941,650,098,386,383,216,349,576,407,084,440,286,205,381,
313,587,198,403,595,689,815,083,899,313,192,108,558,095,441,180,319,687,901,
953,254,672,507,884,494,713,918,244,661,605,701,367,825,964,439,998,534,509,
635,044,985,395,330,217,626,505,014,044,873,600,613,734,785,977,416,908,267,
041,156,578,493,669,984,796,415,308,644,105,897,134,889,987,496,911,193,183,
615,052,174,363,437,639,973,292,373,295,932,146,223,111,608,669,807,602,533,
392,651,340,833,389,759,122,974,905,104,725,560,459,138,980,728,486,618,033,
392,829,991,705,561,636,837,267,002,134,198,142,498,643,902,577,575,908,694,
355,865,541,890,845,096,860,795,260,777,374,644,098,242,880,799,337,735,229,
649,622,705,187,569,350,153,690,439,388,429,523,962,463,204,194,580,810,218,
362,209,925,212,008,112,634,369,347,752,268,735,090,376,079,193,476,138,991,
980,692,694,176,693,072,224,655,792,034,627,453,404,012,630,418,116,103,892,
609,293,788,270,080,511,750,820,445,619,197,310,627,896,809,654,646,424,059,
883,386,752,080,003,825,468,225,541,473,960,342,930,274,539,463,654,563,264,
988,633,949,736,334,517,014,198,256,398,342,394,451,181,851,901,548,760,155,
934,165,439,554,364,267,527,897,596,676,449,781,375,238,576,872,660,719,820,
972,245,109,869,913,763,937,234,787,222,132,908,819,385,902,756,275,396,123,
332,324,212,036,232,512,133,937,805,709,997,119,436,493,608,997,897,926,958,
880,705,966,390,398,938,814,631,961,963,860,033,831,667,754,813,443,912,796,
354,638,247,717,456,636,233,699,007,011,333,877,041,647,419,847,729,315,884,
361,403,153,996,228,987,776,045,395,280,253,291,620,596,509,871,527,537,039,
104,786,392,051,807,573,178,691,721,543,057,608,266,556,795,223,472,272,210,
004,683,913,445,992,024,384,759,213,211,399,484,677,274,952,952,883,597,728,
488,494,050,042,399,675,981,292,695,331,323,316,498,206,684,146,119,953,448,
265,599,328,481,056,705,475,031,248,194,160,518,824,492,452,110,311,185,826,
863,057,641,852,456,245,840,680,771,135,459,857,761,096,438,899,064,573,369,
729,814,828,155,673,979,959,167,933,293,540,315,399,349,862,521,876,207,590,
854,832,926,080,936,859,911,156,666,522,715,117,534,833,138,894,934,107,327,
598,392,576,245,572,122,441,720,151,937,215,622,101,202,180,361,758,412,804,
218,113,418,074,531,657,121,242,688,341,732,943,020,710,223,014,585,675,136,
763,369,054,355,472,111,843,794,007,512,597,731,642,577,420,021,218,793,912,
465,287,462,047,313,096,325,013,362,520,258,566,825,251,758,084,998,731,405,
069,163,189,278,109,175,585,727,409,506,893,129,169,749,815,975,556,037,167,
015,270,373,898,428,806,754,424,704,092,386,262,513,431,204,924,404,933,416,
187,143,864,667,580,513,998,055,542,645,138,052,034,286,401,060,990,075,508,
420,030,218,147,104,845,956,990,478,719,486,059,282,693,416,702,354,476,272,
896,030,916,287,086,119,580,234,048,738,128,364,264,253,412,609,018,170,856,
784,829,815,481,598,031,610,993,657,384,060,136,685,405,168,765,020,114,882,
741,335,249,128,192,399,926,745,782,872,610,450,661,461,261,373,207,442,339,
534,132,032,130,903,677,360,517,065,227,076,291,932,722,624,793,837,087,280,
373,821,007,244,667,388,676,610,429,084,859,724,822,491,808,478,668,878,389,
065,747,911,326,641,889,147,646,115,807,526,668,305,807,882,076,531,569,511,
296,930,591,752,964,504,428,375,254,347,417,230,303,393,477,364,022,995,157,
197,235,448,409,586,169,867,852,874,057,490,131,925,615,818,165,821,618,618,
339,863,887,950,424,120,289,879,299,555,426,338,535,365,052,274,294,328,948,
429,007,039,224,177,806,922,816,325,312,359,460,472,209,503,445,456,316,408,
770,893,897,924,050,875,634,479,180,322,887,363,245,372,545,445,307,939,808,
659,911,233,097,988,976,350,698,626,865,341,968,786,962,523,350,007,715,656,
451,615,947,111,381,292,210,606,439,437,328,797,523,346,205,612,108,171,503,
859,542,047,091,378,080,132,070,402,074,049,588,688,128,763,210,273,800,111,
892,231,642,477,037,069,597,990,942,779,056,238,779,218,414,879,485,392,777,
705,710,758,145,730,553,499,353,488,404,669,975,155,815,107,293,485,072,737,
442,665,273,421,979,582,296,110,981,232,545,451,314,033,033,216,576,823,436,
513,678,209,412,857,340,773,007,076,112,664,361,894,990,186,758,904,824,198,
869,261,713,670,459,802,574,807,661,010,969,311,029,884,210,973,824,223,843,
828,333,664,358,058,493,511,134,204,975,877,732,457,135,843,864,352,442,570,
583,583,222,763,959,307,619,829,073,682,493,711,940,355,160,124,137,218,677,
545,888,187,053,859,087,006,570,620,135,603,756,106,338,286,229,972,287,513,
186,689,878,765,315,581,926,167,337,355,671,938,685,091,343,572,206,314,859,
476,085,668,368,910,094,586,107,100,486,421,284,315,694,129,246,881,639,129,
136,739,599,804,617,103,388,797,257,190,234,997,844,540,539,386,209,177,783,
666,533,493,503,785,639,607,637,574,629,242,366,603,791,286,884,810,203,281,
999,085,200,948,334,080,311,656,051,621,031,088,045,388,546,300,313,304,905,
057,655,971,349,214,256,366,363,243,272,464,987,787,063,585,071,610,158,474,
319,076,467,094,911,807,960,523,698,380,067,686,217,057,935,809,123,982,918,
050,795,376,225,545,379,172,127,221,545,720,550,010,675,205,224,383,353,847,
349,818,501,536,895,382,163,214,069,013,966,130,732,844,814,896,552,269,402,
920,750,669,871,320,042,983,865,774,075,276,702,278,379,331,016,464,513,953,
636,568,853,168,943,652,591,683,100,477,163,208,309,900,054,289,683,347,618,
332,335,719,021,106,720,657,928,998,919,337,177,236,293,228,342,817,184,895,
872,414,930,559,881,358,935,405,583,899,632,398,409,508,275,344,974,922,584,
488,993,386,888,720,759,499,022,645,761,349,395,963,766,607,939,802,523,115,
313,037,740,509,895,705,305,783,135,797,996,104,090,984,249,412,193,358,577,
863,290,935,598,557,918,316,251,620,258,966,097,862,672,963,540,750,664,640,
460,948,673,313,449,198,952,518,206,014,778,232,079,898,419,971,873,322,599,
872,504,650,643,664,119,019,158,637,614,266,883,767,767,165,685,418,555,391,
497,323,641,875,308,123,573,108,043,477,731,676,049,385,291,258,717,004,498,
450,954,318,692,417,626,860,121,684,040,052,903,566,037,267,600,691,437,428,
936,738,623,611,102,862,920,929,421,866,585,249,091,165,994,786,784,574,500,
265,398,305,007,432,003,637,151,432,287,544,827,346,676,062,247,275,399,858,
824,330,780,508,176,185,391,336,028,277,238,003,013,289,117,367,386,200,142,
994,511,582,280,952,719,553,661,528,437,486,122,143,679,688,587,528,612,450,
504,010,140,922,089,918,171,205,218,294,909,306,812,545,376,902,837,327,793,
215,272,707,148,126,834,562,515,886,794,022,434,712,124,972,014,627,810,628,
767,230,227,642,682,576,821,974,533,882,090,207,951,361,988,104,717,284,256,
181,082,659,918,490,177,409,819,731,002,870,748,904,262,381,414,590,061,484,
237,187,070,593,596,147,174,273,526,748,560,757,488,743,528,222,847,582,794,
662,950,262,930,632,253,324,216,831,807,831,133,586,218,855,840,288,314,830,
151,090,410,112,096,797,050,552,429,645,037,407,290,415,850,120,956,383,601,
598,851,464,868,025,720,332,475,905,848,299,119,841,805,319,730,428,302,814,
697,439,729,864,330,166,550,234,627,526,258,931,619,988,705,405,159,442,472,
801,625,189,298,890,868,942,105,922,466,553,424,613,399,004,587,456,470,788,
629,691,596,713,210,635,540,544,153,080,482,482,351,425,671,503,598,449,266,
258,745,586,470,526,933,857,251,810,018,642,097,737,668,109,526,625,933,328,
118,589,258,963,719,891,190,495,748,901,967,975,659,916,876,167,014,254,983,
790,378,127,443,497,759,343,680,053,691,084,890,308,565,410,647,072,071,778,
841,552,336,673,138,948,923,914,377,131,901,318,588,388,121,060,451,136,469,
789,908,434,546,418,281,771,680,981,546,587,981,899,172,849,077,972,872,159,
445,053,341,401,407,467,321,212,046,539,652,112,554,092,154,735,160,433,560,
880,701,874,494,033,491,408,523,838,469,202,519,434,635,220,814,486,529,770,
071,099,640,281,142,895,345,223,521,866,989,167,127,871,893,240,803,381,093,
578,309,572,680,362,402,169,233,951,835,068,387,065,440,722,048,829,628,093,
422,329,890,074,833,518,559,087,118,334,675,371,171,857,353,014,451,523,795,
020,357,482,775,450,021,850,343,172,396,666,074,429,576,134,312,614,632,191,
140,694,014,724,750,583,412,147,711,038,313,669,658,139,095,500,824,903,935,
666,506,271,079,780,239,958,882,370,365,278,785,723,887,447,977,552,675,377,
360,625,273,958,160,285,647,063,043,368,349,992,701,102,876,028,954,653,556,
417,996,850,187,089,817,852,976,828,871,679,616,556,724,539,929,773,247,883,
000,508,710,992,751,671,842,154,375,450,483,402,585,282,567,331,464,273,055,
316,330,298,344,425,547,282,587,491,915,411,057,681,516,786,429,491,074,779,
380,041,177,512,101,133,320,045,212,440,355,529,169,882,596,492,289,000,831,
855,649,529,286,063,405,307,994,426,930,282,798,904,184,670,689,607,417,846,
895,817,240,267,310,968,245,011,168,268,347,979,035,101,693,835,666,416,136,
604,374,903,410,301,950,412,758,792,837,400,574,824,403,831,899,742,876,431,
225,542,340,679,956,496,581,346,889,246,043,326,074,938,876,475,055,927,449,
587,703,511,270,529,578,207,713,275,129,117,085,775,155,349,260,972,239,680,
862,290,366,374,686,210,833,183,585,809,723,901,379,312,544,102,161,973,383,
631,084,240,636,593,447,922,277,122,325,235,912,617,754,191,373,381,892,251,
920,327,795,140,284,078,541,077,526,810,662,879,251,720,950,021,322,991,365,
098,367,878,715,781,008,714,359,147,480,735,921,283,619,337,305,510,675,555,
706,030,587,103,093,291,077,909,981,519,687,655,055,411,222,143,202,947,175,
282,075,748,089,674,496,297,491,992,338,432,780,091,526,766,349,568,708,422,
827,975,058,077,666,637,182,139,333,462,498,569,806,392,369,808,893,257,622,
356,078,214,652,488,993,858,744,161,965,835,056,379,039,440,621,740,054,694,
527,586,441,252,702,202,816,781,817,017,192,033,695,857,367,853,204,038,492,
677,002,856,801,870,238,206,048,309,916,611,571,532,978,506,740,989,676,915,
231,620,458,465,088,014,041,182,399,052,677,687,889,875,216,429,953,434,273,
567,674,474,077,153,247,186,588,581,662,686,345,803,913,180,172,571,456,779,
001,975,194,629,870,917,248,392,772,928,419,060,259,307,228,833,819,664,339,
907,908,248,120,325,357,174,934,362,065,679,913,062,080,170,971,487,283,375,
569,911,770,263,759,111,297,813,449,608,290,846,429,519,928,410,366,776,177,
719,794,903,432,491,193,773,235,957,311,609,811,976,452,184,085,942,241,502,
662,510,060,773,805,457,248,555,245,896,534,334,985,194,595,207,568,752,994,
106,855,316,973,575,894,670,636,618,033,429,492,917,814,727,458,886,691,477,
382,985,023,214,017,629,154,433,303,728,101,684,178,094,194,853,951,100,094,
512,868,385,822,820,952,408,671,574,286,086,727,814,202,872,765,203,544,444,
040,358,664,621,537,328,390,130,321,590,007,398,230,837,073,353,910,133,768,
219,371,480,961,535,156,487,861,832,932,886,670,777,606,353,164,867,145,896,
131,065,856,983,510,091,233,095,516,284,679,455,787,989,701,994,365,069,943,
934,048,007,938,615,314,072,015,405,944,341,373,232,483,078,155,730,484,906,
526,880,177,600,723,521,236,705,615,496,508,222,251,408,055,652,097,174,171,
034,890,877,280,369,190,762,505,180,297,790,686,929,960,038,174,467,888,327,
092,626,577,439,111,738,561,047,783,760,838,569,422,250,817,819,600,794,289,
614,136,945,190,880,041,557,048,684,550,316,005,990,078,982,037,444,527,630,
635,553,038,387,374,611,866,233,549,062,466,061,164,585,508,970,009,559,813,
606,155,794,897,395,444,398,331,703,990,200,099,575,310,041,171,480,745,972,
082,637,573,007,774,416,931,530,803,203,761,404,949,720,104,664,954,532,585,
834,036,839,149,867,603,645,657,551,369,497,946,687,111,969,925,005,306,070,
402,968,974,944,298,088,981,926,509,846,876,918,454,379,367,688,684,163,873,
655,838,396,060,003,994,163,661,373,487,606,713,386,577,155,606,408,210,705,
846,031,013,117,028,988,411,542,888,043,676,411,555,401,976,958,666,062,054,
214,343,176,581,877,615,789,611,491,311,690,327,689,827,224,128,978,207,758,
271,121,378,758,664,140,815,234,273,205,431,419,611,296,388,551,162,425,517,
277,085,993,499,215,361,965,519,725,252,178,501,247,158,474,062,874,479,908,
555,508,646,244,562,249,330,526,098,135,870,436,090,673,573,201,577,541,115,
483,595,455,539,646,340,184,559,921,839,460,170,906,286,731,530,124,478,081,
018,375,947,254,913,750,148,000,436,035,946,833,230,273,357,159,480,157,472,
439,643,183,295,291,639,161,969,765,319,389,677,746,690,792,766,730,204,219,
277,628,204,111,155,532,917,800,845,490,771,161,672,520,575,274,202,866,185,
495,987,742,822,202,113,903,986,794,509,889,330,753,591,361,349,190,820,756,
802,975,193,861,225,696,043,665,741,956,108,819,247,246,604,683,711,262,102,
469,839,547,247,887,710,589,173,983,870,141,223,170,727,638,680,136,355,162,
553,521,279,336,318,438,048,476,884,674,960,442,811,955,920,207,711,078,814,
959,277,762,740,627,167,044,438,377,066,196,733,904,475,362,871,175,575,878,
841,119,443,411,420,093,873,686,397,200,215,693,124,842,120,233,743,378,496,
414,765,773,436,882,662,134,719,117,791,999,610,811,380,398,459,306,271,915,
966,491,149,512,964,376,420,673,360,399,071,169,770,266,418,279,356,141,027,
650,821,901,054,736,159,982,293,759,849,880,887,260,235,220,645,333,918,871,
919,722,269,974,453,144,328,288,663,954,885,882,334,592,164,735,301,864,557,
099,519,362,728,038,050,714,498,061,147,764,032,806,158,239,281,719,005,305,
853,304,416,105,452,540,068,827,284,993,532,257,116,636,960,582,943,698,697,
996,134,765,617,925,699,227,841,311,234,831,562,715,428,265,810,758,731,830,
856,705,758,565,198,953,999,825,662,275,452,629,571,119,124,935,517,565,241,
598,174,173,612,849,072,234,996,634,984,587,710,241,765,652,267,804,994,030,
348,108,533,539,947,008,538,328,293,794,032,079,460,995,859,277,140,578,860,
066,531,243,236,932,047,461,697,784,475,373,758,601,399,462,866,693,168,259,
254,388,871,261,450,821,571,405,985,455,097,574,941,488,240,770,646,656,887,
042,119,498,462,549,669,393,769,676,339,663,978,710,866,975,829,056,543,792,
770,823,216,732,558,535,803,914,743,422,968,428,778,504,492,143,733,152,549,
233,307,553,605,889,194,373,944,891,335,305,967,926,593,601,818,557,498,020,
953,374,605,256,793,116,881,239,971,344,414,275,299,489,079,412,107,215,429,
032,067,974,505,125,856,312,669,446,363,047,212,004,939,529,723,509,675,527,
742,328,275,662,214,397,266,881,230,491,638,327,869,928,253,374,320,875,609,
256,409,886,356,629,999,917,648,810,236,726,630,354,659,861,385,051,388,642,
252,733,283,981,844,558,759,566,969,096,594,017,836,849,667,849,874,263,678,
801,097,237,520,178,430,359,753,174,046,231,128,027,359,584,321,131,676,738,
859,210,443,928,085,485,128,817,720,483,835,413,704,064,345,297,114,534,581,
543,361,148,600,369,368,943,399,209,513,957,954,009,018,311,653,792,199,089,
696,434,572,250,715,173,696,671,970,150,157,597,221,915,743,765,252,048,941,
139,455,806,189,630,156,340,535,401,596,977,490,965,943,397,907,347,557,464,
134,492,185,627,160,051,579,574,949,131,250,092,757,191,171,409,671,971,544,
787,228,042,537,125,406,227,969,317,287,259,894,386,925,246,853,902,234,861,
849,212,826,047,869,514,754,155,172,249,854,045,241,455,681,699,410,125,307,
665,548,939,370,923,886,558,887,007,995,269,028,666,468,855,525,601,113,546,
497,655,148,396,952,831,780,546,089,510,252,629,037,959,967,284,048,854,975,
185,938,821,177,489,761,592,313,355,025,066,652,775,071,703,435,930,612,568,
678,379,527,617,107,953,942,332,212,388,950,853,027,891,892,308,549,712,095,
288,358,976,594,378,372,823,309,531,072,167,885,719,362,187,342,184,593,994,
429,680,148,188,818,969,805,287,377,482,503,817,350,895,276,801,127,790,966,
173,279,476,743,517,866,602,018,268,488,178,658,432,270,601,204,141,457,736,
568,801,311,368,297,207,929,308,865,489,422,804,116,351,819,869,799,946,924,
093,590,454,977,128,691,481,789,302,951,765,668,882,410,238,276,083,556,959,
694,097,587,867,844,712,598,448,194,480,053,747,293,276,576,843,476,299,566,
751,436,005,306,155,119,656,689,901,230,769,083,049,607,079,829,864,337,737,
307,504,252,416,225,287,315,557,793,460,593,861,238,613,573,455,008,655,417,
865,994,585,768,465,444,943,065,895,315,643,914,197,722,648,351,129,417,044,
977,999,809,886,202,594,679,382,697,853,988,371,958,930,715,965,285,711,358,
510,650,475,942,740,722,429,268,200,839,134,539,996,160,191,730,377,743,438,
324,888,975,996,103,351,183,375,042,067,226,170,524,540,161,457,327,001,449,
600,464,020,239,213,667,101,857,032,083,967,648,263,227,137,188,065,237,149,
549,671,899,549,018,518,434,605,701,645,775,862,556,539,951,956,236,765,405,
667,563,302,313,467,167,687,321,907,520,938,350,516,452,322,935,326,002,659,
523,307,023,891,184,117,421,261,577,054,027,651,406,135,757,838,758,742,903,
102,188,342,511,991,182,671,812,470,645,148,366,237,999,387,006,390,310,659,
804,186,835,111,483,747,338,541,031,639,279,117,834,584,988,298,345,598,450,
286,596,401,121,569,377,939,347,242,254,999,277,606,189,557,046,568,074,574,
449,793,321,164,471,553,561,544,879,779,954,174,500,738,753,385,437,776,944,
882,819,733,398,562,475,501,781,511,329,393,811,647,175,269,443,583,817,096,
962,397,406,438,894,428,110,278,768,712,611,442,716,334,850,228,814,594,450,
297,989,704,922,604,600,955,092,431,149,110,551,796,402,093,171,841,572,196,
653,353,578,778,923,322,675,190,615,048,786,064,231,325,669,547,846,333,629,
653,346,925,979,250,295,830,957,417,175,341,190,705,460,296,792,300,944,430,
236,355,467,039,222,618,812,906,221,306,643,429,040,390,164,448,977,628,862,
981,229,178,783,555,151,898,525,941,956,013,442,245,482,788,399,211,156,334,
212,778,689,991,752,999,378,081,942,008,775,756,320,535,310,623,414,556,682,
240,517,500,063,950,931,425,492,688,881,020,602,636,197,660,996,109,600,732,
129,952,272,992,596,218,761,745,849,326,267,238,964,136,787,697,764,895,855,
886,872,995,802,736,341,380,079,761,711,861,880,640,076,104,586,159,368,169,
518,892,677,548,679,511,120,140,296,985,105,551,553,503,879,935,716,614,665,
493,373,538,259,219,599,914,834,440,839,335,058,135,993,127,806,350,304,301,
957,161,370,856,316,101,933,677,607,903,868,851,947,693,995,123,796,921,996,
076,777,343,110,534,874,282,970,337,338,234,882,971,978,808,132,875,918,717,
743,190,507,164,492,104,300,936,625,735,536,391,458,286,703,294,824,439,569,
394,122,639,094,181,144,524,748,179,597,059,013,045,726,402,524,398,084,146,
338,840,663,811,229,984,334,648,837,817,835,083,907,841,475,516,550,446,337,
111,245,294,459,343,175,131,504,504,369,996,962,106,391,159,080,064,254,461,
721,959,406,650,044,152,786,271,783,006,974,357,893,909,249,039,687,019,921,
176,079,199,888,364,069,644,090,439,600,744,388,368,081,225,505,495,335,716,
779,352,795,388,806,132,618,473,287,940,568,012,729,901,443,851,727,375,482,
782,522,616,103,622,668,241,288,804,923,825,371,774,919,574,683,575,877,238,
903,987,549,216,076,903,451,040,546,050,520,922,682,303,005,305,933,249,771,
086,562,615,149,778,754,313,923,036,795,728,852,241,880,159,992,967,086,496,
217,519,544,500,810,748,674,806,320,137,291,627,196,286,327,387,003,222,706,
195,980,017,634,869,474,556,876,178,004,854,527,224,238,185,358,231,972,745,
384,269,397,993,702,486,178,212,428,312,316,165,150,461,658,307,100,057,013,
792,200,776,717,702,899,290,153,889,978,574,949,810,044,983,984,032,578,733,
638,370,415,922,918,586,913,415,087,111,242,831,294,689,130,480,058,433,698,
505,825,869,284,283,480,479,961,609,004,215,279,444,483,320,860,574,307,046,
519,831,324,068,589,501,397,430,587,384,730,785,517,093,355,238,803,403,765,
587,914,504,450,779,431,985,727,927,459,317,364,012,169,459,511,103,948,075,
012,916,060,559,352,569,642,126,495,745,695,924,160,363,480,018,091,799,017,
864,545,941,355,363,996,896,429,054,357,093,644,908,483,144,790,030,524,393,
554,677,626,696,818,683,957,312,419,293,146,284,674,028,555,740,718,637,662,
742,258,005,743,309,947,968,277,796,945,946,727,740,730,188,051,052,072,394,
300,169,171,274,366,821,045,351,665,624,827,474,109,840,705,701,670,822,098,
683,976,913,623,837,559,968,265,694,424,069,017,167,430,402,151,887,834,337,
121,480,051,339,405,890,919,171,847,105,757,765,550,579,746,125,427,103,764,
135,981,500,385,556,937,236,600,676,286,149,676,993,807,181,511,068,882,223,
367,488,261,439,734,528,296,525,299,499,483,283,352,737,092,612,473,080,157,
385,568,254,402,271,825,423,091,357,252,843,312,858,513,510,530,043,560,781,
830,774,085,385,919,099,233,438,514,779,135,849,034,626,267,496,438,264,668,
598,494,274,756,345,838,152,468,701,311,623,303,291,067,509,069,039,452,090,
874,506,517,778,528,068,777,724,555,410,109,807,347,694,176,828,464,642,961,
603,596,250,663,267,508,918,008,880,468,653,888,264,288,445,255,013,067,222,
418,460,027,391,378,078,431,699,581,201,877,075,662,792,787,698,904,617,189,
118,606,046,179,544,983,367,365,882,948,522,048,994,370,314,384,556,133,562,
298,566,788,729,593,697,088,661,773,932,274,180,786,372,816,600,810,364,778,
383,486,649,111,589,316,003,344,260,882,700,852,905,376,531,469,094,290,602,
157,577,541,358,013,870,167,820,364,587,446,865,238,578,442,597,164,536,518,
623,130,184,195,743,887,600,716,753,516,264,919,614,777,279,343,834,507,627,
943,849,516,367,997,404,506,408,529,665,062,387,648,410,355,863,754,398,899,
015,051,779,720,375,582,556,669,726,493,481,212,867,405,081,871,433,461,469,
542,558,143,223,709,396,229,928,356,477,885,140,613,319,082,000,362,164,269,
173,560,164,738,544,665,518,524,767,606,604,195,666,917,428,138,462,630,420,
390,942,158,689,183,520,970,713,218,600,481,250,647,833,503,998,644,590,650,
260,038,705,339,454,979,591,041,984,176,527,213,832,876,279,271,144,271,334,
157,577,430,071,865,740,579,137,391,641,172,887,493,409,332,907,377,372,146,
989,436,348,506,473,039,629,214,712,549,518,594,757,208,566,722,464,309,912,
637,798,745,681,100,302,910,079,307,348,547,115,078,070,067,108,837,786,460,
496,612,841,453,150,582,571,340,194,392,883,926,185,912,123,480,385,410,780,
867,595,804,233,386,795,536,919,861,881,848,587,021,539,127,157,741,849,593,
850,394,859,464,174,418,799,446,178,083,943,460,042,021,845,936,647,618,922,
420,166,441,476,388,544,565,138,721,394,073,271,148,656,248,881,780,145,981,
525,575,942,469,877,307,755,734,276,833,890,556,880,086,620,554,966,992,048,
919,607,803,801,867,214,542,060,369,883,753,850,251,156,961,919,872,037,196,
510,824,953,284,411,819,893,498,251,800,988,457,924,717,353,810,898,402,594,
106,627,563,572,464,701,008,187,946,018,390,214,108,267,680,783,516,543,497,
633,505,324,358,477,558,319,996,348,037,226,269,266,754,223,293,791,391,036,
700,802,660,778,645,661,363,419,172,936,810,614,506,270,924,230,336,658,238,
882,773,872,698,624,506,784,073,862,803,390,986,796,210,796,162,804,910,347,
688,642,043,556,673,571,140,655,285,493,183,280,356,736,491,365,963,625,440,
320,298,490,936,488,917,652,414,265,159,255,874,128,832,102,174,729,223,657,
652,654,581,190,497,506,596,751,251,328,399,701,722,655,501,222,907,131,079,
197,489,788,638,882,894,962,082,832,518,028,138,982,288,880,753,708,335,000,
151,732,025,154,877,373,535,470,419,654,311,515,976,290,854,145,285,648,808,
005,928,519,829,566,901,091,406,454,997,363,498,027,468,192,181,295,418,418,
747,104,980,379,611,919,802,511,762,062,504,378,835,050,657,464,705,145,388,
126,326,969,602,775,019,122,492,367,215,458,758,670,251,166,678,733,958,840,
365,199,862,697,812,828,040,727,585,942,659,491,872,431,961,571,840,882,222,
542,399,178,759,848,259,942,843,389,588,668,061,715,140,151,471,010,769,712,
077,047,740,103,455,608,589,330,121,719,563,907,446,143,680,195,921,177,510,
134,820,665,204,075,115,807,109,729,491,829,973,466,497,062,205,383,873,512,
766,850,895,433,944,277,069,931,736,972,782,528,353,875,953,132,075,153,444,
297,037,141,971,956,909,329,735,515,275,853,770,767,592,679,818,538,137,291,
340,371,371,352,125,020,798,295,923,473,823,706,931,917,883,041,504,606,746,
737,010,338,155,030,458,637,114,677,126,189,784,856,461,960,107,482,430,419,
914,112,734,778,577,938,069,182,620,689,063,718,630,142,484,539,149,957,028,
102,297,900,163,007,028,840,681,697,306,021,891,173,507,952,774,537,122,179,
774,187,184,687,293,619,993,060,655,547,507,682,772,130,096,538,280,987,416,
541,925,735,571,083,263,165,146,561,978,795,288,269,160,736,293,021,919,524,
537,663,350,016,534,001,761,904,378,937,529,468,819,139,689,206,943,135,029,
310,966,953,097,354,959,206,943,186,778,960,309,368,259,113,635,374,950,433,
170,418,825,259,779,698,213,643,815,506,013,638,529,729,475,131,703,384,448,
283,667,312,655,650,986,869,809,142,409,570,775,985,075,285,101,965,016,731,
835,054,891,909,349,553,954,544,889,190,078,191,060,399,396,633,508,176,197,
615,807,223,070,213,019,115,727,745,374,101,696,798,015,808,203,950,470,453,
981,446,641,308,736,286,795,668,587,172,246,921,601,557,657,313,405,529,714,
330,506,682,518,400,062,646,255,935,435,421,369,295,215,104,971,094,212,498,
063,811,474,021,871,501,183,294,149,993,930,169,889,882,981,878,097,441,937,
121,886,714,483,378,310,703,965,075,044,680,495,732,408,025,300,543,794,587,
713,565,410,910,022,030,127,864,268,183,678,911,433,214,651,991,042,285,810,
208,085,153,140,451,713,371,474,066,776,534,639,904,994,652,727,556,579,962,
961,688,290,997,693,899,089,175,971,903,676,003,751,556,909,995,620,456,315,
588,476,423,026,818,906,362,981,623,033,552,264,560,858,217,483,371,409,007,
060,403,269,831,837,094,168,401,366,673,693,826,338,058,521,663,120,727,310,
817,208,253,713,020,464,531,311,921,883,729,606,320,079,825,802,869,756,682,
993,448,448,214,079,034,551,257,512,975,477,095,078,502,326,215,319,062,601,
364,519,904,930,671,646,601,277,965,211,511,879,150,081,934,802,900,917,556,
130,952,490,818,952,717,102,125,569,358,789,148,691,633,373,678,516,986,955,
559,230,241,353,724,418,953,859,649,924,222,569,193,736,483,277,192,556,824,
087,047,891,549,585,605,180,118,914,147,698,937,951,699,531,563,013,675,742,
318,656,234,469,479,218,774,924,480,048,406,092,749,433,669,899,017,842,895,
917,551,106,145,299,901,300,753,065,883,501,506,038,406,228,264,359,180,814,
811,561,697,137,140,350,924,308,000,232,557,163,337,897,766,347,202,267,274,
997,256,657,868,039,909,462,526,376,175,098,190,074,585,478,979,009,903,486,
230,396,756,752,921,879,213,919,045,103,103,104,824,187,964,411,800,263,453,
251,306,448,319,427,765,981,813,700,912,979,690,152,780,868,669,388,771,242,
138,357,382,918,316,381,610,148,421,466,945,657,270,642,350,139,569,799,606,
177,883,838,615,623,721,316,772,759,777,048,751,567,683,142,705,874,206,280,
411,452,116,546,117,961,370,332,789,892,608,149,125,319,329,718,223,823,437,
475,628,950,679,931,497,360,143,807,147,120,157,827,776,684,641,994,410,268,
459,896,731,915,113,128,944,679,531,210,647,819,570,159,100,826,425,840,810,
676,362,465,040,393,536,537,015,171,745,171,625,649,178,326,067,900,216,257,
239,650,532,126,083,592,015,795,830,546,863,174,743,162,408,610,971,963,958,
814,276,193,764,190,165,665,563,699,284,244,009,959,566,920,525,207,245,449,
435,253,627,182,073,890,572,230,950,032,779,188,040,730,606,294,785,876,960,
037,474,983,403,010,064,534,898,836,922,789,636,931,352,380,986,079,980,022,
050,855,268,182,206,171,209,122,268,383,453,979,966,822,954,116,990,057,601,
487,443,367,656,064,571,679,107,794,509,381,229,009,789,852,406,171,004,482,
191,095,225,245,055,430,651,439,743,947,892,187,777,800,169,622,846,302,238,
945,213,049,072,163,237,100,534,194,470,449,804,116,373,634,712,670,171,607,
054,548,778,424,161,922,116,289,808,201,650,308,075,835,325,541,064,708,279,
693,895,643,251,309,747,195,683,832,515,832,063,215,832,971,151,768,353,441,
447,733,549,789,981,995,519,359,441,415,899,219,880,665,593,274,487,993,396,
066,629,148,047,299,538,150,801,246,448,658,257,094,357,697,330,801,398,580,
499,661,258,022,242,366,799,692,372,022,686,680,237,093,328,184,305,165,845,
326,465,631,979,062,886,523,748,800,484,657,562,957,814,141,627,069,728,972,
734,788,974,576,662,081,198,836,605,983,330,028,809,128,693,586,392,566,351,
249,783,503,548,221,588,300,031,968,514,161,530,579,178,494,978,572,520,116,
635,718,971,735,074,870,100,557,163,269,100,503,284,592,587,188,169,028,194,
281,421,272,119,093,098,852,049,942,248,236,826,985,958,126,666,706,960,170,
427,718,350,514,072,887,356,644,418,488,165,641,940,921,025,857,823,654,939,
672,908,275,657,373,005,866,779,273,898,057,884,318,643,412,863,790,229,106,
831,404,217,599,347,189,412,820,582,887,196,604,030,490,860,107,036,056,277,
051,577,020,606,520,546,665,389,425,156,295,474,327,103,164,823,156,458,583,
191,224,180,101,823,829,543,172,292,506,339,716,421,147,778,913,070,214,159,
070,375,689,960,734,738,985,369,870,838,236,206,098,382,231,942,954,477,920,
526,502,154,450,444,974,179,658,861,383,027,600,914,548,158,803,817,726,240,
426,074,672,692,037,770,604,495,359,755,885,349,527,924,995,095,790,626,296,
023,423,950,699,345,482,079,521,777,501,509,594,447,208,032,575,909,586,429,
168,726,540,797,143,124,053,700,585,609,507,808,269,200,998,276,744,715,332,
651,428,622,084,532,106,920,238,189,437,951,364,854,456,633,222,760,169,801,
859,784,997,878,292,241,397,502,428,759,202,493,344,309,231,105,767,842,525,
480,676,816,798,596,956,469,651,319,631,084,897,225,544,209,980,102,159,681,
136,913,357,379,992,758,068,271,219,635,044,470,270,042,333,110,712,813,033,
126,404,353,748,066,062,370,853,617,318,354,741,444,252,606,120,292,745,424,
500,498,619,957,916,483,632,794,914,926,727,028,669,176,214,226,709,658,680,
935,554,940,177,213,939,700,349,581,254,897,030,475,516,787,093,211,014,810,
662,681,574,674,150,165,667,342,057,038,380,150,728,865,206,276,531,301,714,
335,236,552,949,524,923,224,780,913,281,561,548,236,631,991,151,953,101,433,
594,148,914,646,071,491,937,954,148,711,710,852,922,618,344,681,126,121,981,
972,480,573,723,146,917,761,593,980,585,410,694,427,489,375,347,752,899,124,
270,482,716,633,654,188,932,545,572,404,123,659,373,710,411,410,150,853,023,
725,913,307,161,602,471,518,657,577,379,489,373,802,430,101,393,399,695,844,
102,188,360,568,757,944,893,565,113,875,762,798,258,655,961,664,216,730,162,
873,173,928,808,322,818,480,457,268,379,612,392,271,471,211,699,701,174,052,
630,250,432,024,271,708,874,270,221,773,848,202,073,421,402,661,723,493,318,
512,114,420,841,526,706,681,991,536,729,736,741,857,145,217,816,965,395,646,
573,266,803,034,662,888,912,456,610,141,479,961,625,970,178,597,737,849,971,
139,216,950,041,921,883,525,868,604,282,936,868,538,259,745,070,388,810,361,
104,481,408,452,316,389,386,968,660,882,616,089,733,803,176,455,977,168,179,
823,611,707,252,911,087,312,762,054,914,487,628,686,004,207,300,132,035,464,
419,879,193,824,423,611,028,472,014,221,821,710,011,382,638,935,533,490,563,
480,414,810,517,001,320,106,045,987,144,801,118,880,101,162,744,626,380,645,
324,989,033,004,893,452,859,063,130,678,728,352,144,836,968,821,820,340,412,
251,277,816,582,589,478,098,626,878,310,441,345,014,925,315,857,769,134,595,
797,645,601,225,608,938,204,223,668,304,599,525,912,303,428,353,762,133,193,
370,103,473,260,723,850,488,265,759,821,656,844,523,755,359,823,707,462,334,
624,605,662,822,846,047,432,474,872,377,419,592,587,139,868,512,138,893,861,
768,688,165,617,223,172,730,676,231,289,664,376,881,675,066,981,761,543,953,
506,618,349,280,285,508,983,744,519,498,204,310,938,090,015,084,629,555,720,
602,897,984,084,041,546,915,173,980,744,982,598,053,559,103,166,342,843,561,
381,945,270,886,580,600,063,391,297,491,773,172,851,065,865,934,841,698,858,
249,730,701,191,090,206,900,158,108,956,081,792,553,969,990,954,020,022,343,
013,410,900,771,541,121,141,563,653,734,282,747,365,732,338,915,748,483,144,
731,582,864,738,930,543,530,262,301,342,716,364,292,654,250,726,778,284,796,
365,525,006,919,574,745,384,403,611,070,180,310,806,602,594,108,737,260,452,
939,877,237,905,966,495,637,148,657,638,679,713,463,115,077,329,013,688,610,
347,249,123,162,149,272,990,426,378,289,504,101,568,313,566,412,226,056,405,
550,416,782,579,022,171,982,479,601,557,328,531,967,554,552,081,097,379,173,
780,134,718,598,619,438,805,890,014,134,061,278,505,771,053,646,734,904,342,
750,596,636,540,873,828,858,806,928,032,453,407,645,317,464,637,023,581,215,
257,000,267,647,313,498,381,599,232,335,271,376,478,332,067,667,067,752,432,
901,320,393,731,003,275,305,306,317,874,105,117,591,262,977,289,881,973,620,
952,538,967,650,929,823,448,155,552,302,095,245,896,589,398,730,736,813,923,
495,262,781,671,125,835,557,531,564,099,986,515,729,575,181,690,939,198,433,
702,812,576,438,453,330,960,193,616,631,646,819,373,288,071,760,693,542,286,
009,138,369,069,384,773,958,758,096,450,851,451,261,866,936,781,091,136,165,
193,636,237,643,959,599,999,323,713,952,313,638,796,769,692,675,397,405,226,
920,390,072,189,460,816,195,349,612,379,010,397,109,582,119,395,493,322,136,
481,323,752,539,175,068,448,926,100,757,794,628,421,959,810,818,108,539,719,
003,460,392,668,427,086,031,910,355,901,021,115,480,007,676,171,873,993,298,
184,737,423,861,689,794,064,824,680,257,952,967,081,718,105,786,428,097,866,
131,146,915,291,580,868,178,057,866,708,756,571,796,077,520,688,977,755,868,
396,527,419,532,828,522,882,617,857,164,906,724,270,062,725,339,580,585,117,
168,172,228,406,646,970,056,514,126,144,455,777,811,055,213,791,982,426,276,
499,096,812,821,045,161,303,948,137,319,704,626,450,446,496,879,163,125,116,
449,057,982,635,240,385,410,670,494,645,767,619,800,623,897,848,357,853,965,
054,421,487,771,630,831,340,109,811,910,972,205,379,580,745,709,418,562,340,
963,217,897,579,934,002,752,416,612,768,963,962,038,841,692,748,918,573,354,
544,803,656,658,537,687,519,982,382,142,511,829,692,656,063,630,486,541,932,
518,336,119,065,969,946,758,074,582,569,531,015,806,016,092,536,740,213,525,
540,140,000,960,899,493,544,439,613,519,691,758,373,107,619,675,552,729,242,
979,280,222,198,581,871,705,710,383,785,115,199,077,552,926,004,423,230,323,
974,466,038,764,349,124,278,156,484,405,104,786,010,359,258,004,856,616,134,
864,611,726,012,646,774,339,604,388,411,709,337,715,594,934,046,805,968,722,
236,636,910,941,088,069,111,399,309,054,834,271,561,788,266,906,956,283,691,
586,087,342,155,665,009,462,635,622,812,844,884,049,343,080,052,718,218,040,
541,577,170,400,400,312,662,210,541,795,331,142,339,188,979,042,091,910,708,
846,498,471,686,626,549,997,935,710,456,334,183,619,518,411,942,389,039,647,
687,582,943,295,917,117,394,556,150,223,641,106,938,194,382,988,433,290,465,
018,281,855,367,495,616,349,804,941,103,250,381,877,313,767,111,369,127,221,
632,793,023,078,113,768,503,139,042,937,466,987,016,364,596,845,592,251,144,
520,314,483,659,880,596,532,588,447,245,390,598,657,716,870,122,440,318,347,
033,712,286,226,046,961,804,976,924,404,190,894,236,018,679,660,866,481,331,
450,944,613,770,289,072,489,760,106,559,285,184,580,255,103,319,698,010,028,
870,684,594,082,545,823,819,851,405,167,215,147,583,222,532,324,391,676,467,
819,143,545,115,826,249,656,010,508,528,368,674,524,522,526,669,928,587,966,
170,225,103,247,893,353,473,515,680,382,323,829,132,236,727,535,727,199,451,
441,314,430,335,328,563,210,030,766,988,094,654,696,976,102,561,108,977,542,
544,937,826,244,196,504,478,213,522,168,841,294,924,556,441,963,221,894,451,
373,855,652,854,380,719,714,565,708,117,633,573,444,332,935,807,418,570,949,
193,522,717,305,877,633,387,018,087,915,085,988,857,071,542,799,560,986,086,
830,624,361,430,929,812,728,918,064,453,126,711,154,678,884,477,550,855,289,
651,536,066,124,255,324,453,915,613,095,729,127,064,901,677,097,239,035,788,
820,984,628,791,583,986,502,121,572,511,910,342,976,203,905,222,395,665,203,
456,280,581,756,154,201,372,186,839,036,409,925,690,342,136,564,291,232,033,
425,898,455,620,975,638,475,182,710,858,180,419,967,013,724,901,332,252,757,
917,150,021,103,063,168,564,891,034,424,214,836,765,696,036,037,791,480,807,
903,546,657,318,662,297,512,901,310,263,809,349,855,915,454,728,977,224,124,
886,841,909,309,882,580,524,848,093,587,534,821,351,303,085,497,897,513,451,
904,979,794,901,203,732,852,091,197,386,205,700,689,616,601,387,915,230,256,
567,378,704,231,005,238,112,644,563,962,586,027,388,775,259,798,516,112,092,
395,991,777,116,748,740,066,312,944,536,169,533,798,984,716,413,928,016,098,
150,579,382,893,742,280,964,943,069,605,781,502,461,052,506,460,929,891,875,
022,320,333,242,829,032,686,932,687,639,954,953,976,484,742,327,523,220,296,
456,217,745,321,810,629,198,732,229,486,713,305,268,745,656,829,484,715,564,
919,281,532,884,200,569,450,924,233,135,820,888,387,891,144,081,878,429,604,
085,145,874,818,247,113,423,427,755,336,575,206,456,773,096,662,507,852,318,
427,852,862,585,903,685,045,414,004,882,531,049,205,768,265,827,909,168,844,
080,498,445,627,021,534,337,119,083,878,582,857,447,805,263,892,377,219,627,
581,171,371,367,696,451,955,178,510,129,147,373,685,422,678,290,081,671,105,
807,525,357,325,173,127,944,439,592,691,236,330,286,266,099,099,791,413,691,
027,903,180,079,422,911,756,145,984,331,443,239,512,635,823,991,491,259,595,
434,022,781,800,718,708,054,301,330,955,567,536,780,046,907,748,895,331,297,
186,140,283,142,387,079,906,346,891,252,802,751,587,513,485,300,464,603,045,
646,653,171,870,227,333,559,107,685,031,342,597,945,101,920,447,795,775,320,
919,691,495,790,346,582,091,765,584,812,138,277,445,415,180,469,328,117,127,
607,274,200,324,264,271,391,496,959,446,772,954,721,715,490,812,669,736,078,
045,966,182,329,091,274,798,594,979,795,109,337,919,425,792,044,870,000,750,
607,222,516,843,487,293,237,777,142,422,322,414,965,764,724,144,801,232,489,
539,109,044,586,809,432,175,381,823,133,819,958,017,094,155,023,682,004,128,
052,464,085,163,502,310,390,573,860,738,291,008,659,911,605,484,774,076,068,
811,569,619,039,401,344,735,170,235,977,116,538,132,660,921,491,076,772,964,
892,729,188,989,628,916,595,884,357,667,709,114,332,890,034,853,527,680,718,
481,591,361,987,500,298,977,440,735,238,436,564,127,468,493,241,643,375,677,
642,948,579,146,062,004,536,005,873,743,514,138,479,172,500,335,869,338,976,
787,478,634,191,786,097,029,752,909,169,386,160,278,726,502,301,608,006,785,
403,643,705,204,446,287,100,967,854,724,917,922,699,933,992,412,360,568,216,
834,906,132,952,149,743,989,799,106,770,202,713,800,767,117,617,305,086,592,
803,398,058,654,190,666,624,675,039,525,744,482,115,146,003,916,727,242,633,
225,824,842,224,695,335,828,939,951,994,928,363,770,047,267,709,632,128,072,
703,811,018,504,243,638,171,142,848,292,470,961,577,044,830,000,018,471,996,
151,228,929,844,042,964,905,693,965,517,183,747,385,647,954,826,450,320,037,
326,152,598,301,337,920,983,677,128,356,267,957,210,946,607,795,278,325,680,
420,569,684,645,934,454,006,368,021,114,790,539,616,862,837,423,367,009,694,
620,141,304,783,379,571,122,583,117,852,742,748,839,320,572,703,787,773,982,
796,331,456,580,043,571,966,866,334,470,101,942,291,041,170,166,256,664,590,
247,699,450,299,704,717,762,467,557,782,942,741,213,617,248,736,753,069,187,
248,175,596,430,581,806,232,439,875,810,401,543,527,721,544,020,560,496,197,
888,405,317,384,643,989,472,258,118,951,877,370,408,372,429,296,181,362,057,
061,529,835,326,339,675,643,542,289,076,641,663,293,924,425,316,817,139,131,
138,224,206,818,112,925,214,986,159,237,786,349,625,981,189,302,761,258,515,
809,612,935,714,103,550,645,188,843,923,614,969,820,480,022,848,990,794,337,
323,342,952,426,638,199,183,057,483,173,577,589,724,895,552,498,092,155,069,
213,521,801,269,268,218,128,770,401,555,992,045,058,224,834,320,041,226,650,
769,462,118,894,628,255,554,030,799,841,126,985,715,996,330,660,438,910,709,
695,836,692,484,502,822,227,151,479,801,573,100,985,561,141,378,175,355,262,
847,437,596,694,843,868,323,263,536,055,466,940,428,959,160,169,113,484,669,
969,950,780,448,010,673,537,826,281,792,772,284,188,208,776,698,518,026,805,
663,196,942,086,167,609,153,276,689,690,575,924,734,927,663,494,622,963,412,
108,328,319,647,734,280,965,912,040,749,443,567,687,036,195,577,987,127,905,
152,602,894,693,750,361,243,454,380,934,525,829,307,068,229,173,606,360,422,
029,919,556,741,967,674,657,933,281,738,683,353,422,895,336,009,293,642,768,
393,497,789,722,226,819,888,532,369,324,056,875,500,932,758,201,675,499,326,
910,738,458,181,928,462,339,392,842,221,643,983,949,535,875,214,590,594,523,
349,074,772,306,186,642,305,198,363,537,606,518,315,367,306,903,505,879,914,
354,684,354,076,578,881,607,125,868,704,736,452,748,480,011,705,249,196,619,
391,069,893,070,446,161,158,143,688,365,877,023,903,484,636,084,058,576,857,
651,832,188,065,203,566,801,890,966,226,877,549,397,111,889,228,825,803,448,
666,413,440,228,752,159,672,173,466,823,819,646,549,654,558,759,078,753,725,
585,022,500,159,809,034,186,819,327,493,344,417,059,163,298,081,997,672,111,
667,423,781,581,115,557,400,372,415,886,475,442,900,801,547,993,688,609,697,
786,010,695,080,741,429,034,221,506,300,782,432,480,408,692,103,661,841,709,
881,555,620,490,728,585,937,985,662,474,567,870,104,784,216,291,692,084,262,
212,234,441,561,219,414,629,262,209,608,440,661,050,104,682,978,354,074,534,
912,876,766,761,704,095,734,504,679,866,757,608,712,382,819,381,883,436,617,
754,116,657,574,336,911,843,332,672,021,943,845,231,264,569,087,916,654,734,
980,596,504,336,530,019,835,092,025,857,787,567,247,016,960,581,104,237,767,
558,051,790,375,775,749,681,257,036,767,149,164,271,580,922,550,490,935,670,
482,880,266,936,245,178,705,684,216,148,911,253,497,005,463,074,188,527,329,
740,950,657,455,313,655,688,318,795,989,274,449,456,633,649,561,746,539,865,
056,698,318,690,575,140,686,821,885,611,171,680,728,059,265,672,903,234,240,
439,623,464,919,074,541,500,191,225,332,012,657,837,967,230,069,342,023,283,
290,801,528,858,926,475,975,659,930,842,091,920,664,522,767,774,029,824,617,
765,349,773,837,533,148,502,722,272,988,209,464,270,351,413,826,795,000,583,
943,611,302,539,860,300,171,773,673,285,233,709,572,435,241,973,817,801,883,
910,755,989,529,862,280,835,287,466,221,407,989,638,338,993,971,090,414,786,
076,960,369,126,658,778,560,914,594,649,939,006,428,044,217,015,331,877,301,
163,245,276,910,663,301,819,998,234,488,018,244,206,506,944,076,957,199,532,
742,597,172,290,963,051,860,840,028,675,067,503,419,801,042,669,512,017,279,
308,883,987,651,379,803,399,947,220,018,421,190,321,763,264,153,807,147,699,
064,050,653,653,600,315,977,188,459,027,801,926,590,472,295,725,794,795,384,
770,838,788,769,757,684,433,925,020,735,084,750,314,473,981,721,971,924,529,
457,894,143,375,372,995,297,079,895,253,983,212,020,308,706,148,879,479,662,
747,748,845,339,427,929,912,679,781,204,224,151,002,067,576,840,736,141,104,
704,504,305,683,076,130,736,068,600,558,411,221,788,899,205,387,475,924,051,
999,085,698,608,924,155,560,009,865,625,630,435,114,251,317,849,159,491,752,
019,894,128,125,883,437,878,527,743,170,298,304,522,904,444,041,083,589,258,
177,858,210,783,901,142,045,487,114,954,404,615,421,162,866,823,632,037,875,
713,613,456,145,867,146,176,742,131,594,939,813,479,602,306,252,729,572,290,
261,934,159,073,408,953,569,027,670,133,336,017,704,417,660,776,197,362,050,
748,314,197,231,579,219,872,425,777,999,061,517,540,116,502,222,896,365,715,
854,874,314,680,677,739,473,172,665,704,212,306,278,846,143,661,312,202,378,
112,858,196,269,246,477,704,215,477,544,709,056,496,185,368,202,069,414,070,
847,482,874,559,230,859,020,854,105,261,840,325,067,692,937,617,574,490,197,
508,458,261,767,279,220,469,763,199,108,973,093,000,898,779,834,756,010,531,
091,502,445,632,243,154,283,065,415,311,829,720,511,156,207,928,916,682,462,
945,843,462,102,498,200,140,824,128,466,031,891,245,197,911,817,284,483,410,
508,252,493,046,740,538,100,798,724,761,774,237,446,032,723,387,568,189,941,
911,492,591,962,935,488,539,543,393,415,386,287,347,715,870,286,972,569,005,
100,891,045,354,422,093,584,908,562,633,953,162,874,223,782,373,842,651,060,
968,347,463,105,769,873,802,970,768,696,496,319,311,644,135,850,375,056,237,
535,434,408,348,717,772,095,807,177,649,176,880,601,050,987,788,651,327,241,
926,190,374,046,205,674,703,414,715,622,411,881,481,165,246,357,417,169,932,
192,362,808,507,164,033,151,601,605,896,200,759,105,683,840,985,116,900,572,
056,143,530,529,899,714,901,834,288,142,838,653,725,650,804,372,015,554,834,
181,570,912,184,388,682,755,079,024,065,773,724,834,946,060,773,682,385,378,
823,640,391,854,711,736,529,767,125,123,512,081,730,835,983,932,514,104,933,
170,900,449,912,619,454,144,460,033,327,820,590,788,238,326,987,858,629,873,
428,420,135,785,382,717,256,012,290,685,156,403,811,081,493,126,919,517,503,
346,006,352,085,170,683,915,270,473,297,295,278,911,736,951,152,543,178,978,
362,281,703,715,385,133,238,688,369,304,202,295,047,207,905,646,732,687,220,
111,285,750,279,209,913,245,550,196,577,094,137,177,526,915,530,056,499,908,
487,042,694,311,312,814,429,677,818,240,063,569,168,877,483,376,304,239,206,
754,948,832,990,619,382,480,734,566,778,287,221,924,792,441,668,166,502,701,
719,811,221,888,391,920,289,754,605,918,523,815,117,862,391,737,065,454,980,
642,043,348,604,377,771,707,443,441,880,219,409,434,719,493,888,248,841,309,
955,513,149,594,260,406,916,024,034,697,892,251,569,423,345,523,451,412,719,
160,022,575,093,392,967,759,901,374,672,156,167,862,369,621,176,021,348,866,
070,657,893,419,317,195,819,895,383,193,202,408,827,816,439,084,110,018,637,
496,095,092,108,777,257,369,579,286,559,317,219,058,481,134,390,507,122,387,
159,405,709,083,785,483,449,664,955,778,967,254,803,491,374,864,322,715,416,
670,512,680,486,270,023,640,304,671,964,337,686,902,428,715,877,027,793,447,
030,719,899,542,393,706,445,005,786,567,243,775,968,459,896,034,705,536,061,
243,025,300,800,673,549,970,580,075,879,135,050,597,642,047,831,838,629,337,
211,732,232,835,300,911,108,044,888,936,584,919,733,972,333,933,520,468,911,
214,176,430,711,878,251,405,603,239,386,447,109,439,305,939,984,738,392,343,
754,969,882,850,647,174,282,049,577,932,909,138,382,140,178,898,317,607,174,
773,183,946,353,961,788,221,352,222,456,373,150,079,101,383,964,099,818,662,
861,066,385,057,556,666,367,352,992,741,939,641,139,147,009,366,820,432,113,
639,041,329,207,738,058,345,035,235,893,175,986,843,080,558,857,117,159,727,
910,200,938,922,741,641,340,231,284,629,068,731,953,970,693,201,556,256,158,
824,449,744,404,497,725,210,017,169,473,852,011,841,162,699,855,073,629,697,
421,381,521,689,511,019,438,174,774,939,169,547,194,546,294,684,686,231,055,
894,041,875,015,018,455,458,453,170,205,484,718,882,925,326,120,192,335,159,
044,401,141,553,519,589,012,517,157,670,815,359,546,701,300,807,824,269,695,
437,869,500,042,769,702,913,544,320,111,324,223,007,483,793,057,345,430,003,
009,694,257,950,523,664,876,034,705,363,512,395,300,383,513,546,439,375,001,
311,577,856,127,241,127,962,026,972,644,936,838,725,992,594,856,512,832,222,
404,756,322,946,997,718,230,395,151,473,193,365,141,522,721,500,386,793,221,
995,453,307,779,357,637,853,715,002,447,805,862,268,982,899,756,395,688,925,
372,238,403,429,977,171,013,704,425,514,191,758,925,708,027,874,649,764,354,
477,743,000,573,351,843,694,344,571,047,282,493,645,553,616,365,622,412,613,
391,216,242,715,901,881,450,857,120,546,343,349,177,031,583,017,848,381,779,
847,469,775,330,271,967,763,289,718,787,354,382,098,141,092,854,031,761,213,
836,924,173,169,795,307,072,114,166,978,384,284,074,385,513,836,989,530,265,
115,914,377,576,688,064,304,416,879,016,170,170,930,050,039,701,034,310,002,
514,714,794,211,049,267,198,686,158,160,527,328,377,020,195,372,414,657,006,
024,195,207,553,809,713,132,744,760,277,626,682,191,226,518,925,910,191,859,
618,492,513,287,997,622,679,273,836,482,725,357,202,431,530,595,414,188,248,
414,634,862,699,457,931,669,132,797,582,016,272,430,632,610,638,890,744,784,
696,396,812,807,492,958,442,654,067,256,975,589,566,333,804,398,278,337,295,
721,719,421,437,430,354,219,580,002,440,505,322,863,841,596,441,178,575,866,
608,286,748,049,213,250,814,474,973,673,699,204,669,136,074,087,849,058,979,
194,541,865,095,253,169,867,452,233,995,868,556,639,370,501,519,266,569,535,
336,047,158,728,006,168,262,277,062,432,901,344,621,862,726,107,765,951,650,
094,394,188,123,855,688,398,909,033,250,274,610,133,263,252,018,394,028,699,
945,974,078,219,490,547,202,956,376,599,859,870,999,857,645,960,668,795,792,
729,066,764,378,410,152,882,862,826,247,148,081,093,462,159,704,252,129,531,
371,720,102,648,952,703,819,069,861,265,144,239,393,716,036,284,745,235,191,
327,468,660,997,689,407,586,776,739,713,411,497,095,943,852,126,539,934,689,
665,011,884,017,512,339,573,565,055,004,151,252,583,668,146,158,247,447,450,
216,588,797,545,236,099,716,892,382,604,170,924,731,332,482,595,114,419,223,
136,139,437,803,546,649,407,957,369,866,509,312,019,903,674,405,962,499,483,
371,470,936,679,088,566,971,894,582,475,934,813,111,428,290,361,612,992,129,
773,482,853,221,530,154,744,060,104,618,856,095,137,204,090,050,839,592,880,
800,962,254,276,113,482,707,076,871,911,041,544,951,078,348,447,900,714,584,
375,814,905,950,516,953,617,152,690,238,744,301,147,172,065,732,412,455,172,
873,528,206,125,599,232,104,243,442,784,757,783,066,641,663,403,719,681,723,
080,225,271,868,246,840,450,522,162,940,029,648,259,576,281,202,195,249,406,
337,523,911,995,059,093,251,454,025,771,896,325,993,786,324,779,930,143,850,
377,019,032,746,682,454,722,615,310,365,048,815,290,292,630,635,572,061,284,
446,760,051,407,025,353,088,689,278,052,415,718,178,613,264,347,961,898,538,
435,901,084,882,081,334,570,753,237,191,032,231,738,135,446,013,138,020,811,
810,906,676,800,384,157,032,782,035,172,285,187,071,728,897,932,353,065,389,
332,726,285,731,361,083,074,000,261,563,328,818,449,489,468,218,612,281,069,
355,095,375,667,770,935,923,812,871,871,905,741,937,691,034,801,146,897,924,
677,419,220,614,287,866,096,984,673,350,731,151,904,563,795,540,027,459,902,
478,824,374,162,546,429,856,451,089,769,734,684,042,750,478,069,398,868,900,
026,506,445,841,328,034,617,022,979,102,972,739,146,062,938,984,795,681,794,
822,727,875,717,054,054,086,577,874,589,354,628,440,578,375,252,978,345,795,
402,064,309,486,400,329,399,090,034,914,639,129,159,760,788,659,548,066,329,
396,729,322,688,234,652,750,980,209,817,005,774,263,612,530,103,423,207,667,
790,589,529,426,178,121,263,731,673,952,571,476,809,979,937,858,557,233,326,
681,746,779,458,397,579,073,789,483,689,447,898,616,679,323,099,498,449,352,
935,710,336,301,472,942,146,449,240,062,349,817,024,461,385,089,858,403,079,
211,929,970,786,647,984,841,575,742,191,107,817,276,074,835,011,395,524,258,
184,952,685,252,238,222,528,937,865,871,218,346,674,436,870,322,756,999,982,
344,670,304,209,812,246,976,896,568,992,168,992,439,000,987,638,347,577,916,
121,585,631,183,981,927,441,893,073,115,759,138,190,694,031,717,591,807,638,
169,639,908,000,686,096,100,279,933,108,666,748,498,093,427,248,037,850,170,
566,750,471,643,279,568,059,766,492,401,642,886,298,403,027,693,545,412,678,
470,552,150,688,445,696,688,358,752,250,841,866,507,672,622,764,228,723,526,
209,078,728,716,581,414,354,944,306,908,358,603,666,006,506,976,730,915,494,
353,480,204,262,263,683,615,932,356,904,207,188,338,807,411,970,710,023,677,
952,443,306,924,555,519,059,277,530,319,355,041,177,597,270,100,575,238,223,
735,812,862,666,639,081,791,382,881,232,315,644,305,426,687,465,371,862,527,
546,972,803,417,254,204,443,980,013,213,975,802,294,455,912,580,742,554,322,
524,458,054,798,837,594,998,865,366,309,164,334,806,091,583,498,450,951,404,
902,672,407,327,478,241,444,498,340,518,572,997,759,071,220,472,892,620,474,
017,868,252,714,934,459,174,766,770,129,816,867,541,272,555,086,207,397,388,
813,473,110,685,746,289,319,106,962,822,847,809,136,500,731,555,990,023,810,
195,549,948,554,383,709,046,261,682,484,812,206,771,012,549,214,200,997,607,
365,626,792,413,349,263,391,064,307,817,966,570,060,672,084,106,715,046,673,
412,484,153,760,017,066,695,248,004,862,180,291,462,507,498,765,333,217,931,
466,060,809,006,385,194,811,471,692,302,566,878,232,549,970,837,525,565,290,
409,252,877,057,372,554,891,966,189,667,362,617,681,137,117,097,627,118,066,
791,869,579,019,986,289,127,929,435,408,843,470,134,902,707,561,158,614,621,
984,173,885,468,475,975,639,475,423,959,312,918,043,620,497,918,118,840,710,
173,679,936,045,042,616,305,098,944,824,009,913,861,931,496,613,594,271,074,
847,648,829,586,866,839,234,332,490,414,293,078,846,601,664,557,280,239,305,
023,343,120,002,805,317,000,002,316,817,777,877,724,744,882,420,845,663,589,
101,874,438,065,131,853,871,605,267,409,604,849,645,373,644,127,056,868,724,
591,208,581,172,635,558,017,079,011,605,342,141,789,768,862,197,089,556,217,
366,365,814,737,771,472,351,602,244,359,903,057,816,308,312,503,788,429,296,
389,977,700,618,340,586,348,507,639,616,829,279,046,102,035,346,006,478,678,
092,454,164,144,106,423,990,985,932,587,354,549,911,642,265,739,723,997,335,
670,516,314,492,443,047,873,813,833,595,581,764,071,337,833,910,202,319,106,
370,817,726,987,525,133,638,171,049,477,663,197,081,057,662,189,418,498,153,
992,512,957,122,209,832,332,509,356,069,254,318,110,147,674,494,128,709,889,
740,114,980,814,316,473,526,950,033,190,019,178,017,310,023,845,943,714,839,
552,420,553,502,086,412,168,781,206,435,430,195,294,138,515,966,257,462,476,
328,187,698,077,103,847,812,046,926,761,290,852,929,654,838,390,929,639,254,
043,663,849,654,246,170,831,822,107,217,262,416,728,974,579,014,420,872,135,
624,316,935,534,335,356,707,670,307,327,047,897,396,605,266,923,638,902,859,
307,335,726,459,156,334,403,491,884,509,913,493,365,458,856,563,202,395,760,
871,122,700,471,808,356,948,593,830,381,167,882,401,048,707,933,204,856,911,
140,439,317,772,486,499,638,961,254,151,822,499,843,365,012,181,825,364,668,
502,460,546,968,130,723,457,725,370,584,762,099,209,311,557,475,956,779,459,
465,296,129,477,189,700,198,039,781,845,374,137,571,320,640,230,471,767,090,
692,199,262,864,013,186,156,072,479,561,831,450,433,306,510,497,478,256,176,
519,181,821,547,536,353,999,730,198,908,754,305,590,372,612,309,134,995,392,
572,010,695,683,899,514,900,615,820,316,624,550,577,676,872,283,659,035,473,
113,439,019,919,463,152,339,089,747,198,342,590,204,843,466,506,843,221,318,
911,916,586,294,966,875,543,569,685,767,760,192,922,248,982,730,504,935,538,
457,792,234,389,302,052,771,921,433,501,065,730,844,633,084,568,019,975,295,
621,127,460,072,762,845,964,992,601,756,050,353,082,398,088,017,741,856,707,
352,643,102,837,798,732,368,116,325,552,076,588,895,981,124,594,497,794,096,
743,491,901,238,938,070,583,815,033,068,480,608,235,292,345,794,406,016,265,
190,474,818,524,339,810,726,437,190,332,525,638,924,183,926,311,820,860,579,
662,736,276,593,667,751,718,323,738,974,858,024,561,321,680,298,458,415,226,
619,488,019,355,419,980,459,370,846,295,447,072,078,590,709,451,381,150,199,
112,086,094,041,104,218,415,150,959,450,478,758,463,469,314,794,419,014,708,
965,036,468,665,674,028,418,627,648,992,598,968,571,819,053,994,902,758,019,
667,379,564,435,153,670,951,900,246,366,122,867,478,087,112,626,665,031,568,
226,478,292,425,484,310,574,542,659,445,956,107,563,859,032,382,778,288,710,
560,538,363,609,976,569,151,395,435,240,310,895,051,308,019,882,887,906,272,
544,699,239,491,705,965,823,083,292,871,208,768,991,964,593,859,715,572,826,
963,368,594,064,819,969,284,239,295,073,436,378,066,637,685,022,394,745,507,
687,681,007,692,394,507,350,947,020,046,447,288,991,252,850,574,756,342,322,
160,515,559,678,528,512,084,252,103,398,065,435,890,123,267,800,762,530,694,
342,088,965,061,912,866,002,970,226,383,240,297,954,285,503,071,095,214,823,
273,495,609,350,319,169,986,707,779,682,047,108,185,169,190,331,965,766,624,
748,757,564,991,739,118,909,676,105,881,595,928,873,544,810,601,366,712,145,
457,514,274,216,055,595,465,691,884,378,573,784,714,864,091,314,522,256,144,
041,885,842,541,024,228,803,438,052,093,360,145,175,313,667,077,945,698,095,
578,645,183,973,935,804,970,715,515,366,374,861,155,700,140,346,768,122,505,
624,834,669,479,073,345,466,298,468,926,580,676,361,771,706,794,282,535,976,
351,418,304,669,065,676,431,975,314,554,610,861,515,035,059,518,834,187,345,
797,537,846,145,780,981,432,901,035,715,075,904,394,792,647,104,554,027,398,
606,076,834,495,010,118,069,313,387,118,669,932,498,104,251,124,222,192,270,
123,590,931,164,764,552,964,086,320,208,429,536,515,760,183,223,966,058,550,
428,990,614,293,883,057,239,596,256,701,329,602,124,008,797,199,643,559,991,
785,586,729,563,562,455,543,442,197,369,016,778,335,322,482,870,885,605,218,
868,939,105,369,815,016,410,672,689,086,496,142,678,471,604,398,625,335,853,
651,484,381,492,596,752,798,851,592,402,438,847,974,248,810,926,892,015,263,
820,587,239,985,720,721,815,169,586,163,991,928,804,698,424,319,629,574,983,
527,810,213,747,635,890,066,680,542,925,350,345,655,308,429,633,660,144,248,
883,099,310,909,749,602,606,064,200,681,481,842,440,700,130,220,799,913,512,
710,581,038,003,743,924,895,001,205,035,338,299,756,287,560,060,524,348,696,
575,827,729,347,789,100,029,368,492,650,699,268,385,595,593,859,550,583,742,
922,376,685,135,734,088,009,485,791,483,020,094,527,373,043,563,381,484,627,
761,451,440,680,269,507,002,168,752,481,835,831,197,334,490,252,427,659,490,
821,618,729,666,261,816,264,275,279,307,277,646,427,432,308,314,409,346,508,
085,108,866,354,926,578,603,321,735,332,036,491,981,743,220,743,356,623,189,
858,723,196,609,668,173,403,459,134,648,902,630,818,548,346,227,856,072,370,
456,674,582,047,151,918,840,243,980,202,673,436,591,781,464,016,154,037,650,
140,498,630,618,564,759,458,807,019,131,074,589,680,759,477,712,093,244,534,
568,690,502,778,618,451,979,971,591,493,269,037,999,936,968,129,559,761,027,
376,843,630,664,165,528,417,357,967,141,932,032,001,005,102,668,390,408,675,
317,684,895,746,831,693,300,967,660,571,171,662,325,350,079,376,684,003,895,
274,840,508,143,278,883,229,598,253,775,502,891,526,543,169,271,235,093,969,
024,474,603,020,654,787,955,272,898,042,707,501,110,261,500,672,625,606,550,
806,319,163,698,327,998,945,579,986,690,101,132,846,365,535,880,406,223,849,
754,876,727,903,768,145,390,335,688,584,924,754,336,210,491,063,615,503,740,
319,981,926,716,181,140,599,216,541,797,894,374,156,128,817,532,461,841,779,
612,729,614,360,792,523,879,434,805,400,990,589,437,955,578,598,330,390,383,
887,175,839,794,895,041,589,317,346,722,192,529,103,551,077,746,466,055,204,
085,944,841,089,434,424,415,779,767,637,386,039,986,790,692,074,759,313,092,
467,735,660,482,542,594,746,680,707,874,968,212,325,745,441,433,123,883,929,
882,368,548,866,674,308,692,265,833,308,739,116,794,751,687,165,419,974,919,
531,655,570,761,730,947,964,138,328,165,399,185,200,107,917,515,969,825,737,
713,022,658,064,759,974,568,404,840,648,164,743,342,586,696,051,519,935,582,
806,889,466,316,446,558,196,506,396,721,127,219,152,319,352,521,215,976,505,
316,545,130,701,170,709,334,354,417,011,856,481,289,607,240,473,324,012,845,
740,349,466,762,352,941,381,920,551,533,700,658,119,140,856,589,521,469,033,
541,717,485,808,971,454,620,842,155,873,741,353,473,668,122,240,807,702,184,
705,813,637,724,524,373,929,518,259,972,244,684,088,263,365,995,686,928,579,
378,076,275,895,973,979,262,897,318,149,053,690,366,806,956,794,774,987,503,
632,178,687,626,497,077,439,682,718,710,364,171,707,520,460,563,036,636,419,
408,043,895,202,050,379,469,949,343,442,083,902,714,288,173,889,168,092,260,
374,619,837,981,848,743,889,630,304,524,284,981,122,319,696,762,778,530,099,
680,285,521,954,878,700,530,205,799,808,711,201,223,164,681,836,785,386,322,
538,383,650,435,600,506,201,483,107,951,696,453,848,836,601,426,157,473,872,
153,381,748,473,152,027,221,358,200,324,004,847,627,813,819,124,222,031,102,
534,634,022,029,750,419,094,247,279,946,592,825,094,567,387,667,061,723,794,
654,535,038,851,367,848,012,861,021,136,952,147,646,206,398,135,065,837,641,
039,812,624,099,651,109,006,324,163,371,952,838,426,512,110,377,483,410,125,
422,560,290,964,104,247,079,044,074,274,470,309,627,076,665,861,006,784,978,
058,156,604,322,346,701,630,097,516,296,638,117,982,664,155,414,124,865,054,
841,264,543,534,734,623,763,208,836,995,413,080,561,835,134,728,414,719,937,
819,556,773,150,465,903,385,476,469,085,140,056,102,859,346,998,825,371,533,
574,919,215,469,521,230,459,699,895,396,656,595,099,882,995,167,902,635,990,
696,236,567,711,546,139,958,548,048,805,614,387,752,439,293,314,481,126,848,
770,917,125,100,598,710,762,249,826,408,727,497,467,781,585,545,067,016,462,
399,083,339,636,647,182,758,671,912,150,434,002,363,210,811,833,070,596,271,
073,135,370,775,394,468,290,787,858,133,209,264,837,809,766,981,289,717,565,
595,008,586,073,573,519,781,896,694,879,941,604,685,225,127,907,670,986,528,
452,571,498,147,739,131,010,982,410,233,321,563,453,534,292,746,587,141,110,
036,622,621,266,998,992,384,540,608,363,588,135,230,295,432,353,982,103,572,
615,553,384,288,579,810,466,048,142,137,044,599,172,828,227,715,087,040,679,
512,895,536,506,671,374,068,134,603,229,245,090,160,696,062,170,000,200,500,
182,997,473,992,194,552,003,921,225,153,860,427,693,788,538,697,499,863,146,
254,992,595,226,843,587,171,045,726,365,315,611,270,145,678,312,108,660,503,
317,585,583,371,186,021,725,190,350,383,077,538,217,737,804,850,224,455,104,
189,086,530,129,604,048,194,828,846,581,543,667,534,050,787,364,407,559,970,
749,138,400,397,842,091,376,889,000,223,600,199,656,196,857,127,380,528,941,
457,550,990,462,148,316,187,893,075,154,720,632,266,236,580,084,420,266,475,
214,423,625,685,982,846,896,271,025,929,799,147,420,638,221,875,434,808,004,
957,448,469,097,659,200,731,619,884,979,448,379,804,942,383,202,014,568,068,
688,709,366,905,789,035,634,618,909,787,850,970,398,917,884,974,631,093,388,
344,960,972,327,173,588,606,891,958,199,874,169,521,544,497,956,884,543,026,
054,881,454,330,359,708,029,590,091,089,908,981,170,838,818,051,467,971,504,
858,788,913,793,419,638,164,420,416,815,583,355,007,171,949,701,059,912,427,
976,798,746,654,317,954,728,593,593,009,713,756,366,613,976,503,747,805,115,
478,204,877,948,422,575,088,518,852,073,479,449,945,627,407,008,498,983,602,
923,291,378,023,288,507,558,125,910,710,528,770,770,069,840,107,781,449,834,
816,193,440,089,704,545,846,864,823,314,257,118,712,897,336,941,701,956,833,
558,963,075,953,461,504,567,458,370,191,675,706,990,444,259,328,227,149,249,
587,782,646,969,928,727,348,351,784,995,248,623,701,070,734,649,086,257,365,
502,875,233,228,718,318,474,021,605,474,548,042,776,396,951,716,296,465,593,
649,511,148,726,214,777,441,040,616,388,757,935,762,988,827,000,254,839,791,
125,613,518,497,280,805,966,509,452,607,368,879,860,703,392,015,402,285,292,
963,340,595,945,539,043,911,508,780,694,610,680,761,706,340,704,678,545,883,
689,976,718,638,648,473,739,980,920,203,245,971,436,524,358,816,238,836,237,
592,362,198,610,057,378,248,562,464,092,413,387,255,041,026,583,262,739,104,
656,797,360,500,027,847,540,754,381,610,685,847,328,138,366,174,003,831,874,
329,686,303,113,527,354,478,738,938,500,530,646,909,566,244,477,000,241,328,
252,872,955,887,543,656,739,286,809,171,170,942,034,476,973,099,935,481,194,
073,229,890,418,676,175,465,006,606,441,942,375,845,786,667,218,740,256,829,
370,395,698,142,166,977,278,006,190,375,705,670,845,114,168,900,506,287,784,
217,623,113,993,145,398,812,047,444,280,938,013,744,200,963,644,370,466,010,
640,797,457,772,400,090,402,098,848,137,416,810,726,214,260,187,027,973,501,
503,284,701,537,644,056,548,119,948,246,270,539,390,609,480,176,182,229,758,
017,911,915,237,008,879,555,389,543,591,374,275,500,059,421,597,842,266,137,
863,765,127,461,473,249,746,837,921,822,048,528,133,493,147,630,580,644,654,
965,674,810,525,439,499,099,501,136,746,416,504,308,383,603,715,219,800,870,
606,506,277,139,365,058,968,777,845,048,087,885,704,996,915,692,392,567,141,
190,704,226,691,673,280,824,502,986,927,955,015,000,109,557,741,895,411,451,
551,136,163,440,356,157,585,926,740,390,455,734,164,743,374,583,233,031,076,
071,514,151,948,654,739,049,816,023,990,831,555,415,452,858,498,873,559,194,
361,293,292,567,118,548,381,158,342,259,827,636,567,965,839,113,706,695,725,
926,621,917,844,307,030,188,931,125,349,641,878,265,587,655,963,910,226,605,
573,053,162,995,036,327,755,905,939,175,979,527,958,164,052,340,495,400,311,
103,981,038,602,472,843,473,950,832,641,841,769,703,967,731,521,746,254,899,
873,639,478,949,743,321,587,550,475,316,445,493,167,210,427,044,142,894,134,
255,021,638,905,383,205,723,351,510,651,628,734,085,216,414,908,260,984,507,
242,472,975,426,563,736,610,893,987,951,049,354,857,329,601,300,254,709,384,
780,574,745,273,387,107,747,374,145,937,949,551,427,809,363,802,572,873,147,
692,483,044,119,062,020,982,173,981,367,369,287,974,273,492,545,419,073,747,
820,925,769,467,425,913,285,482,290,528,674,581,659,589,529,937,794,141,357,
268,523,338,742,990,887,931,292,569,740,902,368,353,858,102,381,694,878,134,
161,130,129,667,538,049,775,699,963,452,762,255,016,168,848,669,981,274,703,
726,508,135,105,807,910,559,870,627,318,793,550,368,101,716,367,564,188,304,
250,714,832,348,570,492,193,649,590,480,270,061,422,184,463,059,166,057,474,
183,681,432,871,540,310,376,268,446,324,450,695,014,335,866,178,430,754,568,
216,598,436,641,918,689,634,805,752,277,113,425,043,527,869,338,761,597,374,
686,835,839,489,846,776,838,762,898,758,467,097,066,565,902,790,673,673,482,
395,297,439,768,771,022,005,588,415,859,546,846,755,787,632,518,656,606,040,
361,431,406,913,825,377,966,840,640,702,596,924,167,601,821,294,613,023,336,
405,381,786,467,293,834,613,653,938,334,749,060,480,312,218,288,934,580,145,
867,440,557,412,372,673,613,982,602,783,832,212,993,799,146,767,311,048,448,
129,227,035,844,033,526,962,723,819,650,330,149,994,466,666,195,469,315,418,
151,880,202,723,973,760,939,993,399,709,736,430,472,832,305,724,929,268,243,
869,666,738,994,734,797,605,128,437,053,571,266,240,140,481,310,863,211,070,
406,320,121,134,084,872,953,672,813,615,297,257,264,568,196,967,287,168,558,
493,877,587,157,750,926,324,469,869,665,339,497,450,741,467,107,902,143,897,
112,646,063,654,030,081,573,654,506,597,868,969,671,390,760,861,301,959,856,
797,317,764,829,963,130,669,221,157,437,744,694,682,684,884,612,346,587,264,
546,093,909,905,904,551,976,303,313,741,189,080,993,148,399,610,641,442,852,
571,638,075,311,796,393,695,988,333,194,695,531,225,051,282,079,363,032,049,
169,900,265,960,702,774,281,909,543,283,068,829,325,501,890,250,281,409,458,
807,190,979,336,050,804,921,434,903,833,322,068,626,657,592,214,446,308,429,
585,758,145,661,722,522,596,970,818,268,550,123,363,696,111,167,607,753,695,
402,736,106,539,437,899,313,879,981,389,315,117,988,146,211,878,171,150,589,
965,206,112,993,661,302,309,524,781,074,833,623,088,940,048,515,892,206,963,
397,420,377,108,234,743,850,067,078,125,765,714,153,652,118,749,191,366,451,
340,994,656,942,731,454,453,594,428,307,035,583,333,292,855,417,632,199,665,
797,786,623,535,841,396,191,664,707,843,048,102,525,955,346,715,818,929,874,
088,236,498,790,612,752,826,761,762,104,880,484,428,536,224,442,951,437,270,
988,305,522,402,547,574,593,504,276,484,627,395,277,755,206,149,718,644,710,
446,035,477,352,157,067,753,488,193,030,994,799,080,089,462,978,660,935,877,
997,247,573,064,957,409,963,767,067,880,852,069,199,934,836,794,421,826,299,
650,464,310,637,089,047,326,288,771,826,120,907,456,104,723,399,803,054,673,
586,443,368,580,945,419,519,388,344,668,811,260,688,262,693,051,191,806,868,
701,516,322,366,809,624,750,185,070,725,300,376,568,166,529,036,973,992,876,
775,112,512,433,807,884,939,538,072,136,837,558,115,199,293,009,417,483,286,
855,421,413,539,579,598,853,366,059,240,124,113,354,847,844,036,845,309,304,
897,438,961,349,615,111,636,443,395,942,862,496,919,195,891,117,266,633,250,
967,533,268,927,578,208,751,138,840,590,004,912,982,077,659,694,291,362,016,
132,179,157,459,379,484,235,658,768,633,036,490,476,502,870,187,287,091,844,
573,941,954,294,016,547,160,002,426,718,312,434,742,624,837,091,785,232,508,
037,573,153,044,248,415,155,379,123,876,661,055,373,629,812,403,457,005,567,
700,869,068,654,305,851,880,903,536,307,000,644,686,459,575,946,182,408,649,
229,645,937,245,981,699,551,346,462,069,426,719,159,420,819,393,925,066,706,
584,183,690,195,496,674,798,925,817,639,890,894,140,528,796,849,440,829,359,
766,011,494,559,779,429,249,116,177,283,858,686,065,100,488,987,507,451,109,
387,683,744,208,070,372,626,612,061,367,760,482,288,216,481,377,951,015,939,
454,756,314,691,921,533,891,169,154,428,266,034,598,380,020,176,914,391,584,
972,114,467,640,529,345,424,473,818,114,052,277,536,146,451,671,293,056,433,
847,248,141,925,325,760,192,970,441,075,390,942,874,865,003,279,641,069,681,
644,246,154,927,865,714,699,452,954,865,851,129,702,718,831,283,890,207,955,
380,401,758,834,222,016,919,418,394,598,637,152,265,421,051,647,291,373,266,
837,634,095,728,687,688,515,876,031,535,179,232,795,727,697,622,950,829,094,
198,380,563,786,996,071,823,771,182,631,343,241,140,900,353,560,314,063,534,
149,157,969,889,070,830,570,062,393,678,187,432,510,156,580,732,096,360,474,
494,066,567,900,089,837,373,309,381,113,831,401,297,806,370,788,005,649,344,
591,092,646,269,352,692,633,344,739,103,391,651,723,834,735,777,385,077,867,
156,739,059,987,895,169,414,093,966,628,843,462,484,054,037,920,673,688,622,
897,722,810,561,074,194,378,316,727,987,280,313,935,155,416,948,437,469,559,
092,889,561,497,031,189,442,932,241,004,088,004,763,833,235,044,750,357,885,
141,347,901,313,338,469,261,107,389,818,839,359,713,746,615,409,284,691,583,
682,152,325,283,903,732,559,529,985,420,821,545,690,874,723,675,160,038,960,
437,242,175,112,153,876,541,880,271,228,015,841,157,667,155,301,106,651,403,
022,671,878,387,700,487,743,863,689,084,069,804,545,911,517,093,226,347,734,
856,634,435,020,204,524,946,700,442,615,118,218,794,211,775,149,129,505,562,
328,198,931,725,366,898,512,843,472,546,362,434,373,940,546,195,796,266,668,
615,054,466,913,282,860,438,316,138,086,093,353,559,285,776,963,439,470,408,
308,246,759,422,923,306,848,792,452,681,629,965,943,077,279,409,551,970,556,
732,603,893,636,362,001,272,431,303,631,169,873,154,205,132,318,371,099,766,
485,083,990,276,857,867,360,616,368,060,839,877,396,683,446,531,274,636,317,
013,665,558,452,710,138,977,865,881,587,538,526,166,070,822,709,186,655,138,
407,328,422,087,739,002,042,528,264,166,523,063,709,762,868,273,991,779,386,
302,282,477,950,908,762,692,641,444,079,010,941,522,154,449,007,847,716,410,
133,557,995,521,935,432,934,329,292,838,210,132,092,783,250,549,980,888,083,
064,186,965,718,246,375,535,765,106,962,987,661,184,618,881,391,576,402,271,
187,328,426,763,694,263,531,668,587,732,385,046,863,194,189,311,735,060,148,
982,754,070,263,214,499,729,290,630,538,618,021,715,028,061,368,866,160,134,
248,596,452,205,708,474,551,416,082,897,642,477,910,777,653,802,716,780,832,
967,442,089,658,351,285,932,957,123,545,070,511,316,298,162,926,853,899,743,
007,508,724,672,812,190,701,451,894,900,959,889,538,331,005,113,457,309,501,
229,487,966,899,342,219,553,246,284,202,259,837,667,205,444,734,964,264,535,
119,447,720,424,886,533,669,556,065,431,912,787,101,738,581,155,648,766,691,
845,259,073,531,257,317,545,337,314,151,247,644,016,441,852,214,144,187,543,
759,741,950,474,027,914,613,280,664,883,007,160,776,124,582,017,252,449,927,
465,690,331,344,021,730,466,666,761,944,140,111,327,292,879,594,505,149,145,
307,240,621,285,569,192,480,554,153,607,623,429,912,958,837,784,044,014,115,
682,952,238,882,559,480,405,947,310,923,110,566,076,551,987,749,946,563,183,
562,689,524,563,960,251,003,544,959,840,920,940,774,490,707,183,018,138,769,
449,954,401,875,382,565,760,337,936,274,942,899,221,997,029,259,061,424,999,
573,487,624,467,440,266,680,077,524,148,412,670,661,212,568,366,304,719,371,
871,135,851,102,058,779,201,556,819,176,158,646,741,600,292,446,764,534,812,
773,833,816,414,206,699,501,598,098,760,491,743,899,297,495,364,477,925,018,
792,306,564,047,190,698,947,538,018,732,152,518,923,121,314,033,606,775,553,
418,286,505,217,643,102,528,256,845,580,428,946,609,153,982,859,846,659,992,
103,360,277,015,358,079,191,176,291,673,658,316,161,535,584,612,372,348,487,
206,448,477,891,541,755,783,729,101,302,076,318,115,744,430,317,958,389,995,
164,797,479,581,675,611,711,117,004,718,270,391,456,691,442,915,496,200,514,
488,644,688,550,408,084,495,014,698,301,187,929,658,314,742,715,487,360,645,
995,146,664,559,787,686,325,144,579,458,999,624,398,207,339,797,136,275,815,
152,517,567,872,975,438,428,871,165,378,648,301,830,211,265,278,966,415,807,
180,610,683,717,892,181,116,548,861,233,054,782,670,047,280,631,776,719,502,
725,284,579,993,016,148,523,323,020,026,493,712,994,451,243,334,710,896,231,
322,731,675,931,069,094,097,085,545,039,301,744,766,457,453,892,842,683,449,
986,860,703,021,589,640,451,488,613,920,160,830,409,676,940,243,859,151,058,
665,839,574,673,754,734,421,867,805,110,982,541,024,669,981,607,027,007,293,
133,344,919,797,729,814,069,534,514,520,556,171,500,387,743,871,684,552,544,
114,389,601,175,443,519,846,577,808,314,262,783,485,753,791,630,225,966,713,
976,390,323,419,669,317,146,222,633,432,386,289,356,706,775,476,701,000,975,
908,798,471,691,159,928,558,069,320,168,122,784,718,966,971,189,312,580,031,
693,552,937,539,754,310,705,159,277,951,628,910,248,164,212,562,568,020,267,
872,589,959,025,626,969,317,926,230,632,726,439,380,039,883,302,394,515,970,
267,988,877,693,348,225,189,688,808,631,360,716,997,387,014,342,201,079,085,
887,427,153,736,700,355,437,038,235,411,785,286,423,627,964,109,451,813,757,
716,301,343,146,147,257,364,997,789,732,506,090,178,889,893,320,875,541,684,
066,866,743,767,969,684,930,785,744,633,689,341,628,991,885,233,822,818,937,
370,409,151,504,851,010,323,358,710,233,721,457,183,386,381,259,322,708,921,
381,122,524,100,002,338,426,193,598,040,592,038,309,973,406,742,792,109,073,
983,462,131,088,477,860,303,752,845,267,002,344,110,942,534,594,875,382,011,
458,004,359,204,071,025,102,118,150,654,080,692,694,022,819,794,668,541,471,
261,780,891,491,592,583,105,186,628,957,581,771,262,520,243,585,522,740,945,
915,292,704,360,365,726,430,805,128,794,165,114,350,002,307,374,195,821,364,
171,681,338,974,078,617,415,078,376,152,654,044,318,309,495,152,934,317,743,
018,982,867,084,279,755,591,246,611,065,826,621,137,383,534,017,044,156,815,
874,095,010,735,673,395,584,025,991,591,443,069,516,690,475,294,969,827,482,
501,753,264,950,748,470,084,669,511,738,586,442,338,664,707,108,775,592,053,
492,602,047,822,114,558,699,287,891,065,509,493,382,958,097,151,708,567,992,
901,236,933,019,389,898,798,255,387,192,361,454,568,981,821,503,797,165,400,
681,549,091,082,189,905,479,283,918,304,107,544,133,501,911,302,091,457,426,
716,256,268,705,550,849,617,027,182,011,506,613,573,384,822,842,754,947,467,
330,553,665,946,928,592,584,592,319,290,681,353,695,919,211,022,136,738,145,
927,670,397,760,465,839,905,492,148,795,806,211,155,764,370,311,101,108,634,
728,442,990,564,082,724,887,241,882,357,965,265,267,748,845,702,437,208,305,
264,348,116,791,306,261,899,964,131,872,605,887,915,659,851,969,548,804,638,
055,665,106,059,418,727,378,583,736,149,158,949,027,141,573,311,588,687,894,
492,006,263,038,386,969,432,170,933,009,417,332,524,619,727,310,614,815,225,
894,637,163,980,748,153,606,874,695,116,427,414,252,053,550,831,666,108,878,
434,813,693,043,851,092,115,114,761,606,817,305,609,102,551,108,357,039,930,
298,861,036,703,575,573,270,896,103,766,838,878,042,986,374,369,848,377,252,
922,703,189,680,563,998,504,059,857,676,447,201,436,058,771,330,089,567,293,
280,015,183,568,658,172,079,844,429,982,281,487,528,952,199,094,920,351,043,
007,154,018,684,579,727,745,701,220,439,210,163,623,401,471,896,870,868,281,
010,614,647,355,779,599,654,346,139,044,841,766,213,796,789,935,159,916,984,
866,423,211,872,257,985,014,701,091,762,761,072,304,425,639,879,266,541,262,
606,514,552,467,798,126,701,924,522,303,545,066,168,684,059,764,941,685,581,
316,276,448,455,570,191,440,025,334,185,843,588,891,247,946,598,414,946,001,
568,124,797,952,835,410,412,557,086,075,278,230,046,938,585,556,552,439,035,
434,783,743,380,102,401,791,331,499,245,604,527,118,151,120,200,923,792,444,
886,472,872,795,622,706,170,429,807,583,838,070,466,445,045,654,323,276,953,
006,220,796,874,016,051,897,967,440,704,730,709,089,698,344,251,423,039,494,
561,345,817,132,075,614,265,078,454,842,875,586,474,186,040,412,444,239,111,
839,177,685,992,886,592,930,760,061,942,747,869,420,084,613,179,652,658,833,
203,650,782,455,320,611,067,650,749,709,270,973,904,680,059,337,451,925,822,
266,279,001,883,535,237,901,890,649,558,715,991,026,150,745,474,175,198,855,
291,195,927,368,328,258,428,021,386,135,225,837,885,694,693,691,254,576,195,
481,660,803,116,945,393,759,453,856,159,721,639,103,109,507,599,202,300,872,
932,037,734,036,780,797,018,434,929,702,496,698,766,981,077,122,591,041,410,
266,214,378,411,673,994,723,642,591,950,439,840,185,289,824,249,811,777,365,
237,642,686,633,474,089,039,746,796,910,767,233,344,399,212,486,146,465,121,
611,635,472,498,624,994,746,853,755,490,591,480,118,327,985,617,088,908,308,
982,642,527,861,442,818,459,434,601,298,747,005,490,688,772,274,808,629,298,
371,788,656,797,341,864,529,903,184,512,601,063,969,971,049,286,340,243,459,
332,225,224,054,049,175,782,724,206,805,912,004,301,829,748,053,525,955,989,
817,089,056,451,243,337,377,173,640,554,087,124,463,972,363,585,369,111,469,
435,947,894,629,109,392,161,138,995,953,661,298,447,754,965,093,640,593,360,
625,801,809,143,022,619,769,925,847,600,610,238,723,960,039,541,031,216,229,
030,184,822,641,280,214,750,936,019,852,652,862,573,107,747,602,050,633,721,
868,068,861,351,926,071,085,568,591,583,729,917,910,470,075,280,377,935,813,
337,198,930,665,323,567,321,990,597,894,811,745,473,440,304,989,163,466,564,
786,983,076,241,429,676,096,724,093,768,992,265,722,482,188,463,039,316,397,
968,075,879,888,155,067,593,209,787,753,087,801,347,861,406,915,411,905,005,
390,904,325,988,440,278,566,215,694,251,968,504,633,677,321,862,895,495,805,
540,708,571,277,434,227,198,707,826,771,160,311,023,507,955,152,743,612,462,
474,120,945,428,761,032,825,117,441,822,556,150,874,531,223,040,706,917,550,
290,504,483,966,119,224,936,975,534,737,140,395,909,454,229,562,220,660,370,
731,808,863,665,838,733,801,895,881,952,718,072,776,002,123,539,598,506,798,
796,086,735,667,579,065,227,540,355,941,600,404,482,538,551,197,396,164,201,
050,591,744,169,146,787,423,627,755,210,699,996,868,647,380,644,459,230,744,
378,479,264,316,370,581,837,802,691,930,567,179,554,071,742,122,517,021,280,
628,900,072,121,511,741,944,481,139,953,565,832,648,030,378,378,921,193,730,
545,608,597,582,264,522,322,810,391,008,244,627,083,293,657,661,513,938,200,
248,291,753,464,558,665,221,213,021,925,633,880,053,826,018,149,555,836,348,
706,128,185,939,766,538,442,034,772,827,559,588,963,865,714,614,944,924,931,
822,505,738,352,895,415,927,626,499,647,642,346,485,522,724,496,233,385,918,
689,043,888,516,987,109,015,774,183,387,409,575,921,174,271,841,492,482,693,
567,285,938,879,763,031,107,226,284,924,340,639,353,338,414,839,505,505,645,
464,305,268,843,756,656,835,924,504,080,596,191,821,976,326,721,209,984,602,
665,451,111,012,796,450,477,365,525,464,105,156,893,317,545,762,390,018,663,
436,383,931,346,027,439,195,288,406,865,997,186,321,425,607,207,522,805,418,
228,710,058,290,584,861,207,944,293,969,224,369,568,591,281,416,383,066,095,
291,920,780,360,478,625,467,463,086,242,597,990,698,013,454,420,659,343,509,
637,558,246,096,164,492,255,609,045,506,424,874,136,215,587,056,583,247,623,
505,270,756,277,960,127,872,973,154,259,737,128,469,300,040,172,519,759,052,
992,024,877,232,898,617,821,915,182,374,058,132,261,148,065,345,652,598,228,
811,155,758,439,807,245,671,138,273,846,254,864,347,708,122,195,188,174,328,
231,145,028,920,417,574,269,108,941,641,248,797,313,487,447,168,571,285,862,
112,762,864,909,380,952,032,585,558,996,608,320,606,963,731,038,651,098,032,
333,274,720,566,203,841,020,239,922,826,847,454,764,687,319,832,047,176,706,
220,137,451,518,818,093,233,101,122,584,123,537,612,482,855,704,792,602,091,
708,135,544,465,122,001,832,784,236,934,970,123,475,017,100,329,948,627,620,
947,159,899,241,051,734,177,871,821,826,009,203,541,227,527,731,460,127,499,
763,788,971,421,321,423,212,346,936,250,611,315,073,792,702,054,517,261,688,
861,211,868,317,549,820,546,347,871,809,244,750,256,970,461,306,397,298,116,
120,501,125,884,995,664,860,405,389,309,537,718,706,991,028,116,186,468,924,
482,363,072,789,315,731,137,721,031,889,481,165,658,250,464,753,036,896,060,
728,412,827,907,020,150,739,056,663,799,816,792,434,154,681,426,051,771,104,
542,125,914,243,544,063,509,148,227,393,801,964,534,198,923,861,489,002,394,
960,215,454,822,938,650,396,831,044,155,336,879,190,259,656,228,578,515,745,
736,800,012,641,219,038,993,786,295,346,317,104,163,675,373,054,453,608,427,
191,207,148,503,872,435,360,749,108,570,461,908,703,546,744,665,177,396,963,
375,138,881,373,627,086,516,438,907,840,971,064,290,808,204,418,295,338,755,
698,074,078,496,753,041,299,752,295,222,569,396,198,761,078,967,071,797,183,
900,419,681,266,225,033,482,316,065,697,918,731,193,852,122,434,882,921,400,
546,759,655,119,788,254,487,785,288,239,099,451,531,036,942,732,111,741,020,
838,043,535,415,045,923,537,658,794,728,707,315,994,851,781,503,483,077,622,
180,529,145,276,544,552,114,075,009,917,629,482,270,876,507,757,254,690,104,
982,548,245,264,481,810,479,841,786,041,484,677,701,944,545,973,128,739,223,
935,592,125,549,955,562,936,912,020,020,564,388,923,288,300,928,568,018,401,
535,428,205,868,236,832,203,810,037,440,055,477,434,473,891,954,751,305,359,
085,917,540,172,796,232,900,780,829,036,119,675,092,591,009,302,238,839,451,
398,459,965,909,958,424,784,949,552,026,600,194,290,604,614,075,947,147,382,
557,580,686,018,849,881,914,303,648,900,851,509,952,678,092,941,439,935,311,
779,438,056,558,180,239,147,439,754,257,451,848,348,694,449,271,876,976,808,
181,771,104,230,142,020,098,525,491,380,188,194,513,667,883,489,868,111,370,
154,775,434,007,638,491,684,134,833,145,659,633,634,407,568,719,136,832,500,
385,443,441,217,691,235,999,666,624,776,258,696,616,645,297,607,325,270,972,
704,665,178,401,749,704,135,874,463,230,102,958,258,217,939,474,136,086,953,
019,669,223,017,259,423,045,449,059,631,101,862,282,390,297,821,289,338,591,
499,411,411,054,186,906,511,373,591,135,115,584,090,613,737,820,345,452,928,
315,085,802,870,410,319,446,133,107,398,967,792,228,803,020,500,112,725,438,
689,808,491,371,276,136,053,612,867,038,950,509,507,679,128,547,150,783,365,
410,595,638,294,034,056,820,281,478,117,970,608,898,053,577,172,822,025,355,
555,226,767,850,343,322,757,628,770,001,794,479,700,297,908,655,280,300,146,
561,842,275,756,288,305,747,220,264,510,543,654,718,635,294,913,733,073,988,
652,695,132,546,792,810,076,008,802,713,757,115,254,223,968,657,896,034,251,
924,837,307,577,475,862,686,346,315,575,383,649,823,402,015,904,863,529,875,
674,401,948,823,974,340,333,931,173,945,196,271,782,992,689,049,597,694,588,
255,607,737,182,871,924,551,365,147,124,922,420,375,410,215,387,033,061,470,
932,048,806,433,614,699,068,002,350,878,796,473,421,492,804,839,062,263,079,
642,655,311,491,538,741,118,240,369,636,519,721,363,450,333,808,047,984,755,
053,053,472,661,936,979,464,378,924,473,900,835,238,709,013,533,389,525,514,
757,619,917,101,896,195,666,763,781,627,821,192,204,653,741,834,687,538,911,
756,148,723,111,821,897,895,283,200,663,336,633,920,814,291,665,106,745,578,
564,033,923,651,415,229,717,480,293,832,421,722,642,044,107,210,669,909,502,
736,987,912,699,032,384,912,946,270,682,714,454,414,727,663,304,056,330,893,
440,777,131,775,290,304,656,777,599,132,287,948,632,346,101,857,647,898,250,
723,469,690,678,222,182,790,496,213,959,009,055,021,923,096,519,713,771,050,
629,121,188,915,619,862,335,869,818,683,025,044,148,786,461,413,070,251,016,
739,777,057,234,750,347,057,638,827,379,304,395,843,115,010,750,139,186,918,
979,209,500,194,897,573,366,418,752,272,332,127,711,238,950,808,829,835,533,
326,740,541,521,721,867,542,747,188,347,166,874,232,640,500,565,472,621,369,
531,842,283,909,324,936,061,406,137,327,926,635,520,853,466,971,280,965,003,
656,808,306,105,255,920,518,897,232,753,112,854,772,571,443,211,512,536,889,
539,716,089,094,348,656,741,997,800,333,709,161,330,866,508,432,941,271,515,
528,606,455,566,883,672,095,862,291,513,692,458,969,999,756,221,829,244,915,
176,060,154,065,146,183,152,787,722,648,874,415,866,420,561,774,258,258,882,
846,735,788,573,471,767,387,573,345,561,483,668,168,449,753,542,431,234,551,
842,478,698,348,536,651,502,899,165,926,976,037,099,798,968,564,539,509,801,
861,076,406,132,376,438,748,346,833,115,673,303,229,358,327,269,423,572,320,
818,629,171,775,654,364,843,459,174,552,471,864,443,898,786,885,581,613,980,
229,339,820,266,283,412,481,021,932,234,527,403,868,799,790,308,455,920,364,
055,020,669,726,667,214,122,526,081,717,899,504,554,386,081,713,842,348,799,
448,748,009,739,944,217,284,326,704,267,323,928,622,528,517,448,606,292,470,
390,778,348,971,853,073,047,263,689,977,480,186,482,803,448,864,418,070,172,
135,903,868,916,532,780,813,342,998,637,241,378,726,596,678,315,617,193,929,
553,905,605,896,563,664,969,905,953,964,266,419,477,181,437,039,733,991,635,
025,153,997,622,753,510,963,713,073,001,739,878,766,941,809,471,644,700,469,
664,093,271,855,214,472,051,489,203,952,501,693,338,078,966,233,443,500,247,
450,427,251,239,683,239,324,799,245,622,098,522,789,121,985,498,391,905,809,
475,132,946,518,211,678,040,409,232,426,478,664,523,293,941,410,795,505,197,
322,115,943,628,826,693,010,338,232,515,780,235,550,885,346,770,533,748,558,
377,575,467,171,151,797,716,663,285,183,394,855,851,784,123,949,506,832,245,
093,117,191,583,863,411,324,700,645,249,385,755,298,814,452,795,491,288,582,
259,272,409,989,324,027,010,114,890,899,624,545,492,481,302,312,879,204,281,
017,543,745,593,049,063,734,146,199,497,218,719,416,939,101,667,484,528,225,
478,772,859,217,158,944,405,953,613,383,120,374,168,570,273,229,428,704,873,
897,632,415,446,313,449,974,073,102,667,123,578,994,783,367,132,021,817,962,
532,032,756,392,141,075,413,598,331,067,880,511,983,773,182,871,480,406,213,
701,440,541,819,584,244,953,420,749,143,364,198,758,389,493,260,400,245,032,
944,226,002,383,287,796,188,821,636,775,351,022,488,649,346,228,997,924,395,
950,604,940,043,150,850,956,266,769,424,796,759,733,398,512,593,723,824,503,
250,775,484,466,708,814,835,398,233,220,950,660,907,092,483,392,102,530,987,
449,380,545,687,470,137,373,198,577,318,952,614,477,630,120,576,026,302,768,
712,033,047,056,531,092,359,850,792,318,375,107,840,832,834,208,705,503,442,
130,493,142,981,717,370,546,113,404,913,128,848,327,287,773,597,910,070,766,
152,760,444,549,559,734,454,592,576,623,614,991,086,718,005,286,129,991,429,
437,905,224,864,727,095,936,812,803,426,754,961,419,620,365,537,030,451,765,
019,147,675,600,726,855,455,303,950,352,893,791,772,851,132,356,590,088,390,
949,820,448,147,744,471,195,561,451,030,254,329,684,384,673,548,875,478,831,
506,506,032,248,249,007,971,428,056,916,438,059,396,219,397,791,026,032,640,
862,768,081,465,184,335,118,969,984,360,873,572,438,002,185,221,364,135,994,
360,241,043,194,700,159,267,336,467,577,450,767,145,934,013,321,501,751,220,
585,798,056,231,993,815,728,655,228,237,960,902,377,570,171,569,483,460,434,
776,797,350,381,776,369,105,113,078,762,599,286,082,784,928,373,348,485,078,
964,517,574,686,542,409,752,595,409,390,263,461,355,207,337,300,578,400,066,
295,919,687,543,059,359,447,554,485,761,280,423,876,037,259,271,947,115,855,
849,221,892,984,780,038,688,112,976,356,510,573,092,320,799,527,469,960,587,
577,094,314,276,111,871,040,730,704,695,723,991,683,752,471,269,280,633,925,
727,211,157,515,394,920,768,307,947,944,711,031,276,685,275,682,668,467,272,
408,752,327,728,358,250,651,250,041,856,764,304,860,020,678,271,182,489,238,
898,671,420,801,119,673,923,329,053,021,721,182,388,075,813,187,703,687,899,
201,119,354,574,492,499,742,035,691,883,160,588,909,873,329,101,372,731,819,
846,483,538,725,758,694,468,540,070,360,525,193,114,721,820,697,260,969,719,
545,720,752,134,667,279,364,364,993,486,204,234,565,875,777,285,612,621,908,
532,606,826,383,485,314,359,334,375,238,834,309,734,223,767,313,157,231,960,
455,378,689,922,289,254,621,328,759,517,302,791,551,544,349,199,260,678,308,
165,267,891,112,320,135,566,576,817,857,845,888,623,059,096,310,941,306,917,
786,984,966,483,725,295,824,674,519,931,114,892,982,833,898,290,229,391,115,
590,473,277,411,285,749,887,255,290,609,604,787,459,985,124,758,612,857,937,
537,471,787,190,524,001,362,375,461,870,686,006,565,927,995,972,895,811,110,
877,728,134,939,792,246,147,966,215,888,193,499,818,489,444,599,138,958,982,
678,847,388,343,312,516,816,308,345,169,638,818,874,943,956,363,996,425,477,
958,296,121,313,272,051,207,154,521,551,485,471,890,085,195,414,142,138,607,
133,021,801,188,057,404,250,164,849,259,187,717,957,780,503,141,005,309,720,
203,568,924,174,436,576,500,425,519,694,058,130,669,894,291,193,819,348,896,
780,410,883,003,262,499,801,003,655,966,004,599,217,825,806,322,099,731,692,
416,342,286,136,330,295,387,962,371,961,538,921,794,066,232,094,264,939,513,
680,479,647,484,167,641,271,168,264,415,955,999,112,323,610,441,924,333,006,
419,284,629,976,718,955,479,212,075,612,039,541,975,833,556,822,261,976,243,
662,849,803,035,255,892,786,511,835,616,304,250,369,209,033,082,879,408,169,
246,563,900,105,557,140,190,591,203,648,805,468,512,204,765,837,602,696,606,
858,822,405,936,942,948,830,114,032,179,058,941,855,370,112,346,142,770,339,
042,791,076,452,065,325,736,375,599,717,616,205,857,687,364,690,589,372,950,
427,874,015,364,040,985,421,170,276,399,276,202,200,139,741,892,642,904,021,
249,831,417,016,278,908,216,675,892,039,290,176,692,422,918,791,680,211,882,
161,356,913,916,925,578,353,327,401,944,445,169,721,568,571,153,888,594,010,
725,423,247,954,389,970,981,891,458,204,283,289,223,256,448,636,388,719,532,
533,863,126,067,649,223,726,463,082,447,720,750,935,770,047,432,046,452,062,
878,156,160,651,235,104,339,595,240,680,585,344,341,891,637,643,378,775,732,
219,871,788,757,616,323,284,173,791,619,545,255,792,822,877,016,611,981,180,
529,300,893,320,863,490,304,726,622,664,223,910,456,316,679,619,713,445,993,
063,472,976,912,085,911,586,368,949,054,020,031,427,994,742,194,939,579,780,
507,419,567,865,009,840,714,285,651,059,027,419,548,487,709,893,135,062,975,
136,213,147,853,409,738,849,374,145,263,048,018,433,180,205,201,960,699,666,
401,872,277,929,058,484,151,387,923,278,644,168,952,961,530,926,094,345,231,
323,341,723,702,452,951,290,705,316,964,893,191,012,525,873,043,213,213,999,
840,848,206,938,001,597,593,863,322,782,988,818,214,532,970,371,884,491,824,
274,243,360,348,744,242,642,746,477,692,039,418,073,450,328,655,230,606,361,
057,973,118,932,024,178,911,213,304,431,179,402,720,539,721,333,567,276,319,
544,938,688,898,275,209,378,835,039,198,645,268,206,514,091,844,953,584,125,
226,359,761,942,815,020,505,612,138,232,204,420,587,585,825,404,326,525,871,
431,621,559,215,070,007,888,189,856,421,743,117,930,264,728,484,849,968,433,
203,388,634,840,283,987,669,398,510,008,954,586,787,961,223,284,586,028,980,
656,008,187,189,042,144,118,816,716,691,513,011,052,324,131,281,672,404,358,
926,681,974,786,908,715,380,968,729,664,352,625,726,002,756,695,185,400,232,
501,810,181,635,449,668,896,946,850,048,849,449,342,532,274,901,772,213,379,
180,744,352,954,267,135,044,007,351,408,381,631,597,557,491,043,493,428,726,
310,738,516,901,305,446,594,205,802,096,953,797,842,941,620,820,403,971,815,
794,195,193,523,891,848,728,041,223,103,790,277,685,735,842,789,220,489,871,
143,026,379,257,713,738,611,349,352,984,405,250,937,276,958,798,032,537,143,
722,976,967,559,514,559,644,533,951,090,477,449,082,915,962,799,138,818,615,
801,352,935,517,000,863,541,263,287,656,224,069,751,382,129,980,035,976,984,
090,356,569,830,563,766,246,493,422,819,567,429,628,871,702,659,837,405,473,
064,097,026,758,548,940,627,852,804,870,151,586,947,447,451,920,398,094,456,
455,481,326,570,759,057,600,964,139,956,032,468,971,149,675,742,573,506,429,
659,840,856,101,793,451,470,486,957,876,885,227,001,240,867,343,288,645,565,
914,473,604,564,361,245,247,970,876,504,847,239,447,126,515,801,989,856,260,
430,311,595,670,729,561,443,522,713,004,864,427,897,989,375,287,799,403,598,
335,238,801,884,531,890,570,522,138,000,799,857,938,790,294,852,393,367,671,
679,690,872,245,100,043,553,117,453,960,384,490,054,961,933,114,826,344,010,
355,455,192,836,464,656,827,280,013,261,606,677,537,214,105,295,837,943,421,
617,634,115,518,794,201,631,068,828,550,774,376,056,522,518,203,111,347,630,
693,466,343,315,901,302,828,168,669,854,387,603,530,419,838,542,012,543,517,
508,373,476,753,993,151,261,854,609,686,338,893,309,719,277,209,119,735,435,
767,051,773,768,375,038,096,434,153,348,971,680,965,466,290,953,458,585,080,
730,037,604,150,429,695,649,522,001,778,936,380,975,678,141,147,799,908,413,
505,216,376,794,406,015,446,970,095,309,740,262,873,811,708,823,228,325,997,
215,606,684,185,462,639,558,078,177,749,420,038,836,943,971,431,597,126,819,
451,811,890,501,872,067,749,285,767,657,752,272,049,534,362,584,781,800,251,
904,877,644,363,534,124,420,399,507,972,103,321,993,097,087,214,242,426,951,
925,965,665,620,258,933,128,061,174,083,436,572,348,582,250,555,804,890,617,
531,002,687,342,276,229,943,859,705,513,366,125,102,949,618,554,507,229,606,
342,644,229,316,882,653,991,993,664,017,471,810,378,737,042,148,270,889,985,
421,316,051,070,210,780,485,451,755,531,432,038,461,526,774,835,255,708,358,
591,915,367,600,479,254,297,922,038,419,670,191,007,173,200,819,210,606,541,
341,129,245,252,914,889,054,618,185,982,393,595,210,148,312,613,762,859,470,
802,352,788,768,212,171,225,182,394,605,308,798,930,366,232,080,924,248,302,
802,884,535,462,738,152,249,158,095,067,332,036,967,147,649,470,998,835,811,
609,129,871,456,526,532,026,753,116,204,233,225,593,213,608,481,249,398,461,
502,747,650,722,831,478,298,394,081,901,003,802,993,015,958,540,294,965,208,
937,635,268,798,543,143,021,364,626,846,258,014,247,794,146,018,332,826,830,
905,844,518,698,471,485,356,841,312,812,669,592,278,512,826,880,483,032,186,
322,613,586,405,691,914,637,895,698,433,163,475,560,229,243,619,403,743,551,
704,181,429,444,384,625,050,702,180,757,465,703,387,938,724,792,044,543,342,
845,457,534,112,161,468,838,297,435,837,895,757,829,230,079,608,196,353,569,
606,622,052,967,107,130,551,687,860,373,546,060,275,661,499,960,417,864,594,
623,271,819,132,855,735,545,570,716,094,453,788,949,745,894,720,343,672,826,
623,991,008,077,939,337,782,335,258,638,453,715,638,001,492,011,593,539,957,
118,499,223,790,570,528,204,845,326,182,009,791,949,170,043,424,012,088,074,
170,142,032,867,024,322,333,209,285,751,671,196,109,204,414,154,611,250,713,
795,677,748,698,664,497,733,727,843,120,194,984,772,686,299,276,495,440,964,
108,016,208,109,630,538,356,673,093,380,299,557,110,834,805,122,541,592,175,
369,322,632,368,361,136,946,202,659,530,864,351,908,284,466,672,506,520,925,
405,459,826,778,757,423,563,813,583,466,906,421,901,639,453,559,158,496,948,
068,261,284,614,383,994,310,305,327,567,423,126,620,446,810,063,422,062,926,
234,835,601,368,096,346,270,598,326,765,647,880,425,837,648,531,144,909,439,
479,437,704,577,247,378,419,347,736,284,456,625,191,422,095,049,534,913,584,
415,517,824,860,043,791,565,353,861,126,202,670,070,152,532,642,831,446,367,
570,897,226,135,525,547,675,211,935,051,494,902,950,363,429,848,301,049,776,
542,463,445,013,467,360,781,340,034,728,179,970,793,995,615,338,352,668,057,
554,406,096,320,004,365,628,614,126,082,406,205,859,427,145,053,372,364,756,
834,414,859,991,419,484,536,342,169,122,444,140,568,114,504,776,734,593,678,
341,155,670,103,787,132,311,025,835,554,767,560,584,952,744,820,193,622,265,
610,817,627,834,441,498,838,595,447,229,958,423,097,819,257,716,583,070,909,
714,305,338,244,122,453,390,941,874,413,281,431,061,654,162,383,354,821,442,
328,238,269,175,236,926,747,764,096,810,675,814,320,395,487,264,333,272,661,
650,633,340,659,543,061,213,828,261,987,251,513,873,417,486,686,952,189,297,
891,025,945,132,704,446,226,252,858,721,389,054,887,973,257,981,473,159,078,
755,835,761,806,136,146,122,572,601,721,772,913,532,032,591,360,118,228,220,
349,868,272,608,202,659,512,120,818,412,529,786,913,261,094,341,475,918,916,
445,277,656,413,003,325,716,870,116,525,148,838,215,298,208,222,473,750,261,
611,353,087,817,198,121,229,259,008,056,951,745,321,938,574,927,436,956,750,
633,261,997,028,690,558,015,920,817,213,246,221,864,475,342,344,764,927,087,
585,332,420,521,633,577,323,284,688,272,884,287,450,358,809,669,623,819,264,
389,598,511,566,152,380,013,552,504,775,605,391,216,331,752,647,232,990,966,
731,193,496,961,614,570,002,497,992,352,104,233,854,453,594,983,784,009,494,
141,856,410,528,076,556,301,063,413,217,255,317,601,187,658,367,334,527,473,
733,053,221,973,636,359,225,694,151,536,381,964,691,093,301,196,236,270,755,
296,907,690,950,195,758,263,384,987,669,273,227,398,416,377,064,435,005,136,
891,728,799,148,170,544,556,614,405,114,473,272,070,485,037,430,071,600,845,
221,456,322,141,738,600,096,027,684,340,919,437,658,945,087,840,380,179,683,
352,797,680,757,003,427,842,176,299,800,699,993,132,274,085,374,308,316,418,
669,423,412,679,436,662,378,470,008,018,769,584,885,645,342,066,172,806,735,
641,032,333,696,881,994,187,639,134,487,750,033,881,648,715,289,781,101,112,
906,355,892,141,846,229,055,273,908,714,856,574,908,275,937,471,091,222,240,
826,774,978,311,041,274,866,507,610,731,649,175,637,501,204,684,406,684,467,
919,220,712,825,262,165,290,493,847,429,137,906,134,558,932,717,908,946,227,
683,290,287,157,621,903,136,748,390,994,981,173,318,047,937,200,464,442,195,
639,514,195,622,344,886,540,578,602,122,473,757,279,048,486,447,457,844,565,
448,098,015,614,271,883,853,103,973,992,037,849,746,564,191,504,732,793,424,
521,771,527,567,977,573,995,702,478,026,555,372,290,132,569,112,904,396,338,
654,089,999,987,926,669,869,522,389,353,634,208,029,503,985,500,787,726,768,
319,910,659,707,094,733,169,754,898,001,639,613,730,193,670,584,828,514,550,
161,933,574,035,383,686,748,893,666,245,465,747,681,350,798,405,534,872,568,
031,093,250,415,901,744,608,200,656,777,947,891,963,927,376,660,164,901,980,
414,280,751,910,834,026,761,105,329,147,806,644,620,864,634,062,736,770,131,
407,585,227,917,812,928,079,342,435,305,857,906,188,300,102,635,228,755,130,
114,033,363,605,335,877,144,870,581,228,047,906,011,565,645,967,630,905,005,
543,940,925,609,518,891,979,863,171,814,539,876,735,527,711,641,616,960,527,
254,429,300,014,776,478,342,004,268,806,468,043,862,415,783,031,178,788,753,
640,844,133,421,487,374,079,100,573,873,028,011,352,566,656,554,362,965,382,
842,917,868,523,214,701,805,464,519,468,540,672,384,778,221,922,337,534,307,
109,293,232,937,425,722,611,203,098,012,424,779,425,584,697,260,048,812,543,
770,060,329,669,909,332,214,436,160,178,225,643,709,590,118,559,830,252,391,
050,400,533,676,455,294,061,035,418,820,998,829,712,699,256,331,583,957,907,
037,027,082,327,572,118,135,224,120,250,033,371,424,169,267,052,864,979,594,
310,484,324,142,450,981,841,423,119,044,408,697,457,081,469,679,735,519,416,
963,347,495,367,045,876,357,841,051,539,755,368,757,387,467,543,244,627,161,
703,863,851,264,637,523,565,404,498,520,081,152,175,261,445,662,645,404,211,
197,412,463,880,914,827,363,117,231,210,649,950,431,588,066,153,386,430,068,
976,037,153,238,712,093,138,219,902,563,931,244,094,320,030,152,316,131,404,
208,590,389,646,406,545,518,131,782,342,672,638,259,912,200,015,543,580,544,
386,209,693,344,471,112,299,888,992,550,584,110,523,065,679,382,591,080,323,
804,742,140,030,765,452,486,031,653,105,998,828,296,035,427,699,962,004,065,
604,205,982,194,902,462,018,047,601,953,587,241,653,163,834,309,772,938,149,
300,501,656,247,779,689,603,035,073,002,751,561,632,615,320,247,526,526,742,
965,424,516,860,701,644,438,024,622,660,365,987,092,068,950,557,754,191,753,
792,544,230,929,884,780,140,333,795,769,273,881,905,729,536,640,630,582,175,
554,244,456,220,094,753,708,275,150,264,388,284,500,605,199,819,490,514,462,
587,997,103,806,674,584,338,756,750,088,740,157,200,538,861,897,512,074,290,
429,366,234,074,030,267,655,688,293,851,494,057,322,080,954,283,525,737,528,
482,536,624,260,658,216,887,040,194,171,784,624,100,607,165,706,009,848,236,
919,031,706,598,597,668,562,117,496,161,494,574,020,060,800,436,972,025,961,
240,937,063,570,514,763,801,419,059,066,275,928,032,922,040,878,180,029,311,
705,435,349,996,141,534,320,691,412,146,362,220,960,335,188,456,447,466,282,
574,684,200,105,403,601,741,675,463,328,899,754,090,181,091,032,310,490,387,
041,028,133,545,345,118,163,721,983,726,265,954,553,338,903,781,831,635,882,
567,624,074,921,493,075,626,484,580,552,638,516,024,823,406,448,746,152,576,
833,830,195,230,651,455,775,545,179,597,735,864,383,096,344,832,857,417,742,
806,801,242,352,228,185,466,743,302,540,931,303,472,892,065,481,223,093,417,
837,697,979,664,110,617,487,699,737,220,141,616,193,610,925,277,230,351,967,
455,957,503,196,359,106,800,622,531,869,008,181,837,274,475,554,460,063,756,
986,080,182,564,917,489,317,757,699,627,413,673,406,333,075,497,543,995,871,
292,110,262,581,149,306,184,184,519,490,947,379,311,714,014,573,555,204,282,
962,303,191,723,670,791,222,979,309,865,355,653,815,558,378,066,004,904,125,
141,489,478,670,319,497,037,553,520,321,484,126,505,563,433,822,910,491,285,
917,019,453,178,177,729,990,618,997,550,966,284,087,587,938,207,861,814,112,
148,479,311,994,969,546,727,739,768,003,673,010,182,358,370,853,347,706,260,
105,928,795,644,124,562,576,155,689,481,400,156,080,154,593,453,628,922,052,
143,498,988,460,038,118,606,047,938,769,985,955,950,669,151,163,258,615,291,
332,524,110,213,798,388,096,531,512,876,563,847,402,948,273,274,885,405,897,
227,620,072,616,819,478,523,672,957,982,989,397,630,245,448,605,146,148,806,
685,216,046,140,390,556,388,386,584,280,240,169,910,667,503,997,448,209,078,
304,566,254,048,954,444,261,394,443,125,116,424,000,186,818,419,495,067,557,
160,207,412,629,895,475,542,642,450,661,226,704,651,057,970,852,120,137,156,
758,300,606,944,290,212,051,787,695,951,095,861,874,383,029,603,776,038,488,
411,331,263,847,505,464,527,198,666,581,563,274,846,709,764,718,076,857,235,
801,184,051,759,082,360,579,024,027,611,899,224,806,122,555,429,190,643,323,
070,151,065,406,620,647,160,548,551,367,325,663,640,291,406,782,090,114,079,
176,474,620,554,464,172,418,855,076,899,888,151,795,415,374,901,842,691,279,
310,337,386,376,665,017,187,373,149,936,594,046,845,211,764,502,250,658,434,
845,209,515,948,669,194,931,021,102,103,277,896,417,600,111,921,403,189,307,
634,018,696,414,589,760,391,611,462,075,800,583,237,457,775,914,294,398,892,
791,736,931,431,525,634,477,785,746,975,861,497,814,652,163,447,452,924,478,
077,913,625,964,643,099,444,565,745,315,801,521,182,305,531,192,093,677,029,
776,855,736,596,888,331,206,198,708,698,919,566,728,226,072,300,612,555,034,
831,980,805,706,023,167,039,580,666,685,366,957,372,267,414,975,725,299,752,
608,159,743,052,417,492,112,822,525,572,001,258,547,505,474,436,669,764,146,
154,123,108,564,483,504,098,818,669,635,708,315,355,064,317,071,470,778,296,
151,410,166,232,112,055,923,018,811,171,275,368,834,863,386,471,627,822,619,
250,770,795,895,012,423,974,820,403,696,393,785,453,000,149,605,869,690,773,
233,461,417,363,832,131,216,479,102,762,481,041,494,882,394,595,841,820,949,
600,820,338,260,337,768,381,255,974,374,806,129,451,241,357,574,018,103,602,
176,739,001,716,622,700,325,785,491,590,041,972,202,349,146,006,768,327,104,
513,490,486,106,485,044,572,034,444,723,947,607,112,417,835,102,687,957,422,
368,767,636,288,798,929,662,348,861,159,320,535,842,812,601,701,501,339,962,
428,064,611,424,171,813,664,870,596,059,461,840,989,253,205,242,866,572,741,
024,424,132,534,090,506,603,799,988,258,725,153,648,438,608,240,345,181,618,
721,691,613,244,049,911,409,276,728,064,233,509,318,509,549,783,587,312,283,
643,960,775,905,894,287,115,053,052,862,417,285,757,026,916,938,917,776,628,
928,764,750,627,979,760,625,185,696,598,048,980,349,071,919,767,519,063,382,
161,247,957,925,680,004,721,485,173,923,883,888,596,823,773,430,952,540,037,
974,870,488,979,295,897,702,535,550,093,284,212,438,210,748,777,160,586,430,
688,932,324,645,994,707,357,203,335,614,470,902,067,235,414,536,195,759,291,
749,489,834,978,317,974,945,252,649,690,192,821,022,592,162,188,294,321,739,
650,377,105,088,840,842,453,183,072,835,122,386,280,288,277,088,411,354,184,
014,242,779,416,889,496,923,288,294,053,560,872,137,900,703,161,427,109,641,
775,453,299,257,592,854,417,089,796,176,632,314,483,181,346,446,891,243,200,
687,083,502,231,288,487,501,119,383,655,065,874,141,768,514,647,596,760,810,
688,875,296,358,726,090,600,208,700,011,658,947,496,887,267,115,958,984,117,
580,794,127,760,234,839,947,515,067,333,528,282,888,553,141,839,855,209,779,
778,776,235,439,842,928,518,238,394,492,800,993,918,983,838,315,273,511,982,
532,005,287,401,751,273,172,208,667,475,843,530,250,254,518,059,693,426,115,
008,692,864,382,383,734,845,651,185,924,302,502,420,804,919,726,298,640,622,
526,127,959,737,150,674,361,792,504,761,190,454,435,717,496,241,433,937,637,
294,588,955,231,781,875,340,613,244,154,453,901,644,542,088,648,675,839,227,
788,732,038,840,110,575,106,042,238,581,509,863,537,975,798,866,110,630,053,
933,838,183,255,766,332,073,013,892,287,134,679,353,165,869,999,298,695,860,
620,476,405,611,832,855,125,641,736,170,902,152,223,293,141,111,768,574,017,
275,882,070,336,426,371,821,742,306,341,573,101,959,511,467,520,936,074,310,
957,128,603,036,539,796,342,820,550,704,021,115,951,148,010,353,815,703,456,
506,306,173,533,758,622,166,542,766,603,656,745,684,232,338,448,060,601,094,
833,357,348,434,625,999,807,112,063,535,408,346,799,938,881,603,063,869,884,
969,839,382,892,576,147,486,694,467,165,659,104,523,301,707,180,152,710,445,
890,393,913,131,712,757,918,062,429,393,870,665,219,430,041,868,948,026,776,
749,992,793,279,395,293,966,257,698,165,344,562,254,559,356,269,035,977,303,
586,939,726,236,909,833,750,263,837,722,388,123,713,384,413,705,417,247,746,
483,650,107,869,504,782,793,443,428,082,146,528,774,485,452,719,840,041,424,
717,353,887,105,171,489,622,110,989,761,396,216,397,221,686,714,792,918,931,
886,153,961,056,179,282,586,023,864,898,919,508,217,564,658,000,645,288,720,
188,734,435,176,370,186,040,096,779,616,892,842,766,186,807,821,015,424,751,
621,411,414,978,887,055,928,895,253,027,900,580,144,557,951,686,713,538,766,
343,063,056,291,922,431,316,872,695,616,447,795,576,630,694,449,866,447,887,
752,501,495,637,405,905,647,551,269,591,622,213,345,596,788,196,718,690,280,
509,803,921,341,889,741,266,048,113,684,846,802,133,095,059,486,351,490,441,
256,231,699,676,827,063,075,005,931,343,849,426,338,110,128,056,081,849,866,
472,248,161,876,847,267,358,102,162,151,265,907,731,038,562,762,514,730,814,
090,452,341,644,387,503,149,978,201,033,001,873,366,349,462,412,327,922,121,
379,779,624,469,028,780,421,953,828,495,998,944,716,414,722,831,293,320,641,
163,044,439,275,263,767,749,459,467,061,669,346,680,037,410,618,898,916,227,
031,446,447,151,053,288,414,470,183,258,541,611,476,255,402,647,337,294,605,
691,619,096,978,989,907,793,320,995,152,416,488,483,607,144,160,231,507,671,
767,967,592,585,537,789,398,338,655,332,946,598,823,222,030,559,352,377,602,
430,619,150,847,633,639,799,237,767,833,973,881,055,303,524,291,476,585,079,
155,386,231,416,604,577,956,994,741,581,675,108,229,156,716,296,388,816,697,
196,390,904,451,897,001,933,916,275,513,853,458,116,612,808,973,147,569,040,
837,031,190,985,807,257,796,525,369,712,550,545,491,710,294,051,965,373,660,
694,946,506,183,442,365,522,105,958,102,695,140,911,203,834,460,675,498,136,
685,941,385,087,319,077,889,094,795,204,684,344,150,505,360,588,691,326,163,
638,284,623,223,831,209,698,244,009,214,542,363,106,655,284,548,953,350,956,
418,722,785,317,651,033,511,052,867,005,948,727,315,122,783,328,682,536,135,
989,467,107,212,437,573,057,301,075,223,904,297,469,326,565,872,046,922,092,
614,771,698,611,405,580,277,598,633,430,127,722,200,867,341,635,305,964,682,
911,392,464,797,164,638,222,684,192,558,762,282,027,913,367,148,203,204,648,
102,665,658,454,311,401,859,734,713,697,025,708,560,964,199,945,573,936,402,
043,188,682,738,207,832,590,620,191,718,379,818,606,786,183,075,512,290,176,
030,990,355,746,819,422,388,198,410,199,875,070,518,327,376,471,514,659,353,
046,320,009,554,878,874,954,814,008,294,245,853,086,348,239,666,919,240,353,
313,603,971,020,810,770,054,510,995,293,791,595,444,857,567,316,461,073,978,
819,087,750,571,352,254,996,230,740,736,577,841,016,769,442,902,222,615,797,
611,388,914,670,239,603,405,927,460,286,636,396,011,989,799,383,331,288,513,
473,878,970,977,491,503,412,273,012,957,925,228,153,100,074,377,904,367,717,
717,175,513,102,708,373,213,358,787,006,156,844,845,909,400,793,279,476,838,
411,121,053,236,673,492,514,077,992,494,187,603,127,760,473,162,241,836,938,
909,028,741,445,496,275,704,824,411,118,975,183,214,045,402,647,756,207,912,
986,081,395,287,620,368,394,532,406,797,359,062,715,874,642,479,496,054,121,
365,401,691,910,000,158,814,166,600,218,391,003,338,385,204,311,744,881,104,
591,343,161,443,805,779,925,421,945,145,655,465,797,226,994,308,298,781,129,
556,253,664,423,694,927,823,639,311,103,107,608,239,499,027,137,439,943,194,
546,507,482,693,369,568,305,135,352,575,695,427,974,420,511,196,645,267,981,
139,802,221,911,623,316,076,239,660,244,542,666,912,149,734,647,621,873,873,
727,589,760,435,624,750,915,790,936,101,196,603,876,315,906,098,327,486,244,
222,792,411,582,170,955,031,885,233,251,058,636,642,155,167,946,316,445,842,
840,227,779,333,527,839,510,281,579,173,714,360,574,037,433,073,972,180,917,
676,420,185,511,550,348,550,199,768,615,404,010,989,889,826,140,794,634,320,
604,492,648,425,979,433,113,920,247,051,051,778,287,173,247,736,646,089,573,
083,435,648,735,971,874,134,340,317,607,487,325,478,460,630,299,522,868,696,
146,032,349,597,521,238,165,671,784,250,140,032,393,956,507,198,836,373,692,
176,567,476,175,676,982,305,767,396,605,783,429,561,826,226,679,961,481,291,
789,019,288,755,194,311,366,320,866,612,699,742,679,416,727,699,568,138,579,
828,098,395,205,909,373,636,263,099,435,454,095,791,277,463,290,800,032,007,
283,361,498,044,117,405,891,502,352,750,771,746,011,165,155,793,218,784,137,
928,209,458,740,557,456,519,381,536,656,050,723,865,102,199,203,354,712,407,
038,871,323,052,628,161,958,995,318,259,335,666,975,599,954,650,361,774,491,
589,405,519,862,090,113,437,533,853,476,868,669,839,840,969,513,027,455,746,
643,272,326,783,604,873,258,937,743,654,975,102,338,764,853,392,419,892,939,
842,211,226,750,418,872,719,213,229,621,354,579,281,506,709,241,594,620,265,
951,473,734,353,556,673,198,160,998,322,368,079,344,814,295,052,345,652,821,
182,127,447,897,538,283,688,963,568,803,309,280,926,555,507,315,803,038,831,
849,739,522,879,938,380,970,033,857,807,538,274,319,188,267,449,182,882,320,
818,347,971,043,320,926,809,631,080,373,965,641,582,905,190,563,360,010,661,
249,936,484,161,820,180,985,432,272,212,131,330,976,359,732,309,620,703,933,
873,452,439,516,182,143,837,111,492,935,151,783,397,500,328,881,387,694,069,
872,650,568,919,857,843,813,505,627,973,776,114,767,329,347,639,636,226,036,
588,062,053,311,416,571,008,180,585,145,887,093,413,265,174,615,398,482,347,
579,299,438,676,676,380,455,791,322,788,717,345,723,512,485,660,608,063,337,
320,230,706,889,963,646,647,273,972,694,611,053,974,696,778,959,250,829,623,
347,675,016,400,562,629,068,889,954,876,425,613,751,902,720,990,449,600,127,
917,037,028,919,873,075,267,843,448,502,484,766,769,093,652,835,356,612,931,
632,301,377,220,860,952,637,196,197,696,678,813,332,856,511,439,500,482,810,
121,746,903,390,921,047,361,041,374,238,960,876,058,735,771,040,581,516,535,
122,189,843,891,829,558,882,754,891,565,588,174,668,316,890,238,174,740,417,
967,028,104,560,092,939,283,713,241,933,387,426,234,827,812,866,122,794,176,
031,018,603,272,803,588,027,683,758,535,369,909,850,073,752,392,780,968,100,
554,360,919,555,850,994,584,192,962,354,733,926,339,962,533,127,599,485,285,
974,882,698,093,725,161,398,379,286,928,411,072,275,732,057,674,801,085,850,
035,518,059,613,167,612,003,636,967,803,986,914,534,308,636,940,542,824,698,
122,497,509,205,501,854,473,163,910,857,304,680,081,882,551,578,758,422,450,
027,971,595,976,575,102,115,939,033,452,321,455,787,775,232,637,071,212,114,
861,479,325,853,462,478,628,881,230,416,991,438,986,976,866,184,050,371,533,
141,850,203,075,530,223,196,228,192,561,348,217,943,324,136,924,996,875,528,
708,312,827,857,420,750,921,312,295,767,294,820,149,129,815,596,810,018,263,
787,331,147,414,014,397,417,323,192,680,594,857,603,795,768,924,297,324,468,
057,038,892,546,493,517,740,720,334,908,657,630,247,435,917,545,305,325,889,
616,555,268,988,186,298,288,618,166,450,255,179,630,584,801,357,731,669,591,
868,487,672,937,400,665,130,653,036,102,550,848,983,825,540,904,414,364,032,
192,121,539,359,808,617,570,733,995,020,947,300,092,747,173,946,455,693,387,
748,458,477,041,575,951,184,517,198,262,235,191,851,565,561,927,638,564,399,
420,801,699,924,708,901,161,681,388,582,252,738,359,469,420,768,679,664,529,
653,376,525,048,187,974,245,393,462,311,879,249,317,715,677,561,273,943,174,
920,078,649,285,450,279,863,806,854,379,225,785,651,744,636,419,053,148,613,
926,699,741,922,888,984,242,601,740,010,290,309,794,013,458,069,495,767,039,
338,459,267,431,916,219,216,470,833,728,200,541,766,315,546,227,270,426,082,
002,006,795,221,710,199,465,898,403,808,944,626,072,769,858,723,313,384,740,
108,052,208,135,466,127,256,204,142,527,837,908,292,619,658,278,241,860,707,
497,488,417,636,884,121,323,128,160,203,658,681,233,638,298,191,584,362,123,
885,508,918,104,915,252,336,620,486,049,360,692,996,438,473,763,966,864,290,
048,530,524,825,607,320,469,738,830,003,668,393,623,209,578,234,053,644,004,
932,321,006,101,426,114,004,193,467,597,112,884,654,266,135,226,567,269,926,
886,865,488,958,821,059,021,492,689,402,905,452,652,078,297,129,430,377,283,
973,043,936,990,247,425,943,669,018,776,127,621,857,254,397,711,200,245,707,
040,201,575,624,993,804,199,901,860,541,385,682,693,053,695,056,147,471,166,
354,844,785,104,659,950,873,372,671,577,870,016,011,898,247,694,168,211,169,
520,607,975,488,980,218,675,369,825,660,856,751,955,660,237,626,538,520,735,
097,671,835,497,635,815,262,161,883,069,896,340,778,600,824,616,507,038,690,
338,246,739,747,691,097,911,380,702,829,260,267,809,991,874,767,874,720,083,
746,455,801,147,192,592,219,865,883,325,986,277,434,427,832,010,369,830,356,
121,127,948,604,970,400,086,954,847,127,181,633,395,568,113,054,016,224,577,
724,196,854,406,431,675,731,584,392,631,125,521,095,576,651,321,413,542,541,
013,604,755,697,825,257,492,316,833,831,726,393,057,044,211,397,412,249,928,
659,929,147,460,246,186,692,148,698,558,833,334,448,105,683,961,676,537,514,
939,255,252,516,470,916,184,303,284,468,822,582,546,122,652,824,699,426,830,
740,880,937,041,081,778,839,767,163,253,676,912,511,561,875,491,243,677,209,
281,019,557,762,925,742,599,351,402,570,551,716,643,343,960,126,908,079,375,
176,493,074,625,801,116,544,422,150,994,484,519,724,742,879,342,035,636,059,
366,459,622,433,054,272,003,928,972,714,533,873,947,012,293,096,434,711,975,
622,065,090,660,585,512,535,281,331,355,859,359,012,135,805,622,830,431,743,
752,197,341,788,221,413,647,796,490,496,523,120,720,838,986,685,431,815,659,
274,250,868,492,531,888,529,595,157,107,904,611,050,337,815,661,554,599,827,
879,867,123,421,159,713,424,428,451,674,486,421,653,256,193,080,383,169,743,
454,577,759,118,887,124,802,259,011,453,348,675,478,574,502,782,483,766,423,
234,268,811,487,526,845,815,413,831,652,423,119,128,389,270,614,163,928,111,
737,908,085,344,415,206,743,428,333,543,180,968,546,618,880,576,868,229,534,
862,931,229,496,568,631,856,295,557,050,321,210,476,445,807,213,674,907,267,
995,830,983,590,784,038,510,765,331,954,575,410,003,621,996,165,827,665,016,
650,356,138,148,124,604,048,978,700,309,192,669,651,537,077,099,949,793,029,
050,140,885,675,090,762,915,867,214,722,298,510,838,866,591,760,129,171,158,
019,312,341,555,032,958,752,221,630,638,437,285,491,724,515,760,619,719,516,
029,730,038,551,629,875,392,539,608,053,290,146,116,637,826,660,280,433,023,
744,254,321,535,640,435,385,173,988,450,537,918,081,726,696,839,433,099,901,
231,227,553,380,284,501,663,389,971,843,292,760,501,333,872,606,656,915,378,
396,972,443,584,910,356,447,102,165,225,293,518,180,810,164,056,021,138,840,
248,175,443,546,291,750,064,845,248,472,703,246,699,669,454,114,762,404,710,
486,363,359,432,500,801,583,183,633,754,908,511,407,233,949,051,572,278,297,
071,823,671,939,971,005,449,094,697,197,124,673,903,099,928,581,642,419,836,
816,839,383,953,079,504,193,446,532,765,378,853,718,554,077,309,320,364,986,
143,239,201,538,012,767,369,982,040,827,135,247,863,165,733,918,371,506,030,
657,299,965,033,886,101,995,354,146,276,219,077,542,556,860,686,232,191,626,
116,765,233,693,107,310,289,241,825,138,260,872,713,373,991,745,818,754,331,
110,499,532,963,178,534,825,044,567,767,962,447,681,689,240,564,100,190,830,
943,589,234,527,632,545,499,550,646,504,291,098,374,721,181,126,444,732,227,
681,866,470,523,684,721,650,016,916,765,030,281,857,258,685,409,046,834,756,
683,217,289,149,249,671,521,402,064,760,820,921,685,728,226,971,001,544,860,
567,795,388,262,110,797,152,523,109,743,763,974,622,969,357,394,615,533,926,
215,331,892,634,356,790,856,205,014,483,840,029,826,241,477,926,983,518,771,
508,966,482,770,891,077,933,305,945,969,729,741,305,419,779,588,401,292,856,
397,985,215,794,580,809,812,138,667,781,295,345,539,978,277,510,016,053,947,
893,187,804,752,790,107,975,953,716,394,732,622,053,225,095,044,070,147,437,
686,923,736,162,782,860,505,701,331,974,168,406,173,705,101,148,550,658,376,
245,838,913,356,296,153,518,398,693,445,062,134,246,805,385,401,103,712,421,
971,666,978,924,683,147,308,050,438,949,429,833,638,083,682,064,936,148,939,
985,428,595,225,241,080,571,269,646,974,297,081,109,732,527,782,429,285,864,
676,682,461,079,422,191,069,891,871,086,618,398,255,662,214,521,177,458,027,
083,594,080,356,756,539,173,959,654,075,047,413,348,537,250,656,063,865,326,
671,743,271,783,125,539,086,557,394,160,675,648,402,619,837,335,995,231,635,
157,297,698,297,021,310,062,466,915,551,192,740,207,848,952,569,406,701,419,
739,192,279,284,796,311,298,886,259,103,095,550,365,038,457,772,811,356,117,
504,607,841,162,931,828,097,745,705,776,477,359,203,116,144,254,795,644,139,
959,880,080,228,255,954,384,072,463,861,283,166,574,050,635,551,023,149,540,
193,830,488,097,420,369,620,437,725,771,838,450,831,381,438,953,575,432,268,
743,435,867,583,355,995,373,902,860,098,288,963,407,341,047,354,568,784,229,
976,637,650,975,892,616,340,513,401,776,956,756,972,554,315,791,208,441,344,
617,902,972,448,617,503,692,742,635,203,168,109,262,679,058,990,566,416,277,
296,833,805,580,374,062,615,739,036,845,547,627,604,927,775,426,447,065,889,
925,824,193,950,634,933,320,906,877,234,908,849,395,035,438,317,606,614,149,
677,996,996,427,858,398,154,796,573,891,343,454,716,277,600,514,463,681,454,
760,442,232,454,919,438,677,620,908,602,356,205,871,657,571,954,144,119,471,
495,597,746,022,641,774,383,542,789,859,660,135,211,751,891,948,401,090,010,
412,109,310,775,431,532,165,276,458,867,317,190,193,070,685,189,951,619,376,
736,389,244,192,112,620,789,519,155,794,613,527,455,432,493,764,395,530,307,
724,896,248,009,373,114,277,746,624,473,788,158,880,389,429,439,854,505,725,
052,557,480,542,836,111,020,854,689,678,214,649,007,206,134,473,935,222,955,
146,808,929,163,869,163,782,966,900,444,850,776,316,030,689,965,174,120,957,
380,164,379,350,263,327,872,042,693,187,900,240,287,756,563,679,021,213,113,
289,048,535,375,892,138,579,174,280,714,051,352,903,179,214,742,069,083,407,
381,612,343,880,822,490,456,550,705,407,419,358,456,073,806,313,514,944,167,
653,167,595,768,240,094,153,362,117,012,862,013,179,292,084,413,122,057,903,
723,189,624,991,970,424,010,848,557,909,157,513,480,045,615,731,810,219,570,
076,674,938,160,533,046,937,140,220,010,573,938,092,309,347,430,660,366,969,
472,642,138,415,687,540,714,875,982,772,391,504,410,589,069,313,056,800,913,
894,140,463,063,518,218,199,009,501,500,264,930,314,545,662,101,401,444,183,
152,734,492,919,240,830,696,117,347,505,868,456,812,572,488,690,276,732,326,
720,313,698,420,772,307,686,501,846,349,998,065,541,646,122,821,679,130,627,
532,291,836,694,970,831,728,723,079,286,871,633,505,695,994,246,825,663,001,
365,308,720,537,019,432,677,486,978,987,442,457,929,263,157,389,574,452,564,
404,146,358,116,852,930,679,830,576,666,218,666,486,133,350,060,216,538,941,
249,058,906,121,035,908,636,374,258,555,696,021,235,814,593,111,844,167,727,
886,472,729,655,854,076,729,529,380,961,832,600,859,569,964,052,715,910,126,
481,462,020,284,850,115,070,423,908,041,748,557,799,354,008,809,460,221,024,
575,022,811,235,745,627,584,996,222,201,947,130,744,463,954,541,828,423,736,
008,238,750,738,103,926,271,446,623,217,272,650,559,166,157,255,110,922,603,
408,605,736,967,798,587,699,767,320,086,555,159,626,836,178,377,588,665,271,
881,264,446,367,309,500,153,916,756,838,495,562,032,193,099,006,286,718,083,
622,651,385,415,029,939,973,691,058,239,230,335,414,656,392,776,536,942,582,
198,356,755,902,763,866,424,191,736,346,291,191,180,826,030,619,187,486,330,
572,606,642,400,508,527,814,808,377,828,054,678,164,246,292,968,694,635,184,
904,273,928,943,370,955,951,178,006,898,750,264,612,347,217,991,724,054,957,
238,929,822,697,970,296,874,294,588,014,943,949,640,446,786,053,219,742,793,
024,219,790,154,228,538,224,313,584,650,915,440,507,975,985,252,895,253,431,
852,489,742,918,908,935,209,733,718,098,377,192,884,690,800,156,306,766,997,
425,709,419,920,141,199,893,317,539,013,784,508,373,493,505,646,524,123,569,
331,356,713,843,065,360,269,550,203,951,877,159,951,518,096,096,276,257,797,
439,152,371,826,571,477,821,795,627,254,596,540,144,789,494,824,031,723,706,
339,241,522,968,016,564,279,387,237,323,977,481,868,340,113,615,607,900,881,
139,441,712,353,850,182,322,218,958,213,719,314,760,137,880,410,741,556,846,
134,441,437,466,057,236,154,934,331,508,916,851,919,652,220,200,096,655,328,
522,925,418,321,923,258,606,427,776,054,160,443,026,246,841,463,423,583,109,
950,680,926,309,703,475,980,654,767,337,655,265,215,621,533,451,171,635,841,
818,878,662,375,745,252,951,222,372,145,542,163,808,471,347,107,623,741,590,
098,818,094,190,925,587,598,587,365,240,934,703,407,392,084,835,490,161,270,
695,552,780,510,060,502,305,770,377,440,649,308,324,331,770,360,944,069,044,
260,054,452,085,984,290,854,571,683,667,312,801,031,187,757,740,763,650,980,
736,778,823,155,335,485,510,403,510,225,004,528,364,467,839,451,555,015,604,
827,868,782,048,264,481,446,703,137,804,683,134,102,834,269,755,165,384,347,
900,984,794,722,577,901,599,788,320,758,029,521,107,686,586,223,919,068,273,
531,457,366,898,942,506,002,587,367,681,580,681,114,695,799,577,560,710,052,
703,694,273,422,287,907,462,840,574,814,219,461,753,175,409,531,319,301,650,
359,409,855,688,206,627,549,067,839,349,546,625,724,763,547,362,069,869,502,
485,714,625,310,976,450,433,482,687,723,134,805,901,289,772,288,196,135,115,
881,491,030,610,151,267,848,876,338,932,188,278,671,042,828,896,799,423,249,
635,741,381,276,014,166,039,593,308,351,912,686,454,532,858,467,681,773,136,
002,143,089,293,926,798,477,813,381,143,535,538,802,966,716,130,415,256,509,
129,658,139,904,468,457,010,946,912,896,932,135,740,651,336,061,446,724,991,
543,877,926,533,116,046,598,155,440,082,893,343,859,284,200,159,254,607,426,
517,611,850,534,179,841,197,588,882,423,965,878,503,366,803,558,243,208,593,
777,638,894,248,442,298,372,043,969,857,753,342,348,269,062,851,651,478,836,
548,473,402,495,012,407,794,536,352,035,537,472,666,346,767,561,858,622,056,
666,571,990,855,786,414,449,254,037,878,981,187,549,807,000,769,403,933,564,
814,324,803,951,644,193,574,671,305,200,716,126,160,642,724,515,854,547,617,
224,239,232,387,946,642,491,604,922,363,270,165,399,280,271,909,875,877,190,
839,278,273,406,139,406,953,645,122,985,448,619,693,439,724,230,804,056,035,
786,853,533,448,329,676,455,518,547,738,529,203,874,787,362,808,992,286,677,
385,975,350,618,962,970,537,900,523,194,195,101,246,815,358,278,790,386,034,
680,628,510,350,623,307,932,403,013,164,413,323,512,497,996,131,676,028,421,
273,193,327,934,590,449,692,641,712,024,727,863,029,756,089,820,974,661,372,
115,239,602,722,960,246,034,513,949,777,105,798,350,871,083,589,824,970,646,
288,892,202,653,372,567,441,250,625,836,717,882,694,295,734,847,059,530,586,
404,716,882,431,547,933,969,197,400,683,704,961,320,608,849,479,904,339,100,
937,182,378,530,866,062,407,887,282,829,046,293,698,764,043,204,461,036,393,
783,370,509,697,546,741,864,500,913,382,506,786,479,136,380,768,794,189,837,
280,217,619,307,430,747,750,228,776,689,107,441,428,394,222,783,565,394,609,
333,564,145,505,362,751,756,722,405,261,738,004,705,503,217,537,304,835,503,
260,340,432,078,437,823,421,136,575,514,692,215,057,041,059,617,698,792,124,
354,167,488,068,033,704,627,057,609,987,117,693,292,406,726,617,587,427,997,
959,808,003,436,351,175,068,173,200,533,924,624,635,225,017,984,992,200,064,
768,707,830,670,190,899,575,077,080,778,978,916,612,464,092,446,881,026,790,
344,416,685,087,715,313,006,014,041,309,797,313,643,185,696,260,302,628,675,
497,446,951,467,448,571,851,319,294,006,992,045,751,439,701,542,149,010,616,
089,092,643,484,159,258,682,681,039,743,275,874,414,531,011,463,952,168,071,
203,126,933,813,620,140,485,250,589,768,160,708,334,919,753,868,176,901,646,
894,994,784,144,276,900,702,009,129,386,465,998,270,120,987,168,108,772,205,
786,498,185,973,251,342,053,387,948,983,779,223,175,122,044,279,673,477,941,
281,480,676,194,886,700,088,445,659,432,752,003,784,969,315,278,794,783,571,
479,369,329,617,745,024,013,534,756,433,187,482,077,375,512,209,913,078,903,
625,374,656,304,456,434,093,293,335,604,916,553,698,920,898,759,982,625,388,
872,799,890,394,903,646,870,631,014,762,606,533,994,010,104,170,039,238,499,
275,018,351,508,595,595,040,627,007,437,842,826,442,395,734,355,661,471,696,
712,145,607,379,426,518,020,453,949,859,679,855,463,945,380,347,187,874,025,
689,579,284,053,981,496,982,834,827,335,628,067,416,050,152,660,052,386,394,
925,933,497,232,347,916,457,889,092,254,053,072,191,190,200,933,960,701,735,
013,922,336,684,868,416,022,458,150,937,228,416,690,383,540,378,231,527,136,
414,706,174,614,616,187,239,871,245,080,904,542,050,844,999,278,728,628,703,
419,055,817,195,007,552,087,738,571,963,403,276,004,854,785,260,272,306,536,
772,841,183,250,261,780,256,266,858,650,768,408,551,370,683,446,569,619,911,
645,009,927,655,067,669,866,600,181,971,949,522,155,368,131,249,249,761,700,
036,994,202,565,405,957,791,883,770,675,431,356,812,089,515,461,065,314,471,
115,043,564,690,191,872,235,031,684,891,820,560,170,289,684,086,222,260,211,
466,409,583,023,169,671,728,277,254,233,374,676,716,454,490,576,396,649,831,
977,401,769,893,108,645,719,846,494,817,879,431,633,416,855,884,052,626,936,
958,683,755,871,603,343,362,072,047,061,262,946,344,116,610,136,400,926,309,
948,223,038,890,007,106,703,763,325,596,043,653,022,539,786,411,865,149,554,
712,700,216,104,641,323,439,270,884,576,464,545,796,949,341,060,094,154,220,
940,642,571,879,591,007,607,124,401,573,761,415,254,063,272,411,289,269,044,
641,539,640,803,630,713,042,917,084,677,429,457,302,977,316,824,145,345,365,
609,468,814,041,435,082,764,109,158,059,273,276,186,286,550,560,529,152,716,
732,014,000,465,616,382,765,233,339,017,764,238,825,303,945,651,926,814,593,
129,315,136,777,631,847,762,355,477,755,110,646,492,462,425,446,280,642,015,
603,183,736,226,775,340,830,102,208,088,249,085,223,059,872,499,508,358,894,
022,395,682,094,905,177,913,233,284,315,668,922,516,222,410,445,514,345,141,
382,596,626,509,445,906,031,448,521,682,437,850,838,610,492,460,609,571,293,
526,298,785,526,215,998,025,968,750,719,607,441,773,114,824,878,351,972,508,
318,721,759,909,657,324,219,165,311,688,035,853,211,547,493,146,594,198,331,
471,066,787,015,740,794,498,620,733,473,246,764,070,703,174,556,129,633,141,
888,617,689,234,399,586,231,278,007,320,498,855,089,589,764,161,911,467,475,
967,976,564,771,761,785,791,773,325,790,189,142,390,935,753,484,761,110,304,
310,012,701,407,831,272,523,334,396,067,986,863,015,180,005,238,176,271,382,
459,505,474,929,137,013,607,611,103,886,665,501,941,361,145,006,120,800,620,
295,128,745,821,878,384,548,999,431,589,895,719,443,385,775,509,398,248,487,
016,677,238,847,048,789,959,105,873,500,062,069,454,947,655,645,011,850,210,
561,909,997,855,143,524,920,505,678,927,958,494,968,112,852,157,768,499,388,
569,769,362,194,277,085,256,989,962,043,624,017,606,746,502,022,108,521,820,
290,357,996,065,630,062,715,947,010,006,901,610,987,986,694,638,253,158,026,
273,816,052,867,589,631,821,069,697,244,238,796,733,030,243,604,714,071,875,
329,345,292,377,054,171,081,637,523,018,562,166,028,929,852,166,119,480,084,
842,968,621,783,622,129,114,558,056,119,979,232,501,689,461,943,776,878,947,
000,019,870,154,576,611,240,447,316,926,292,163,953,666,739,821,600,449,789,
008,918,686,410,170,974,809,299,144,208,437,016,499,680,817,839,342,307,752,
672,322,907,536,357,165,475,995,857,907,603,134,177,420,487,901,478,694,099,
257,675,577,444,421,922,098,364,309,274,706,893,427,771,270,030,439,466,922,
181,435,083,155,675,277,303,364,814,860,341,900,769,328,749,919,115,042,236,
532,845,132,261,770,949,402,324,226,660,741,889,728,838,442,883,447,727,473,
688,201,038,818,063,711,384,624,540,816,534,552,340,363,808,628,399,322,535,
695,960,971,157,560,737,101,930,131,466,270,624,854,593,147,640,840,078,644,
719,091,363,917,318,855,154,657,862,956,352,637,104,369,310,355,554,137,953,
107,110,125,431,478,299,547,221,204,835,796,319,777,664,577,466,498,496,481,
249,942,606,176,365,566,255,729,705,933,638,362,432,657,310,946,042,620,400,
856,879,586,890,887,684,580,494,966,396,232,931,027,069,234,583,831,995,322,
503,160,462,215,289,878,752,572,332,748,623,517,601,122,364,496,302,707,130,
228,351,556,311,385,221,988,963,124,177,437,637,450,297,249,032,741,383,429,
064,172,347,029,107,131,341,496,023,614,998,615,691,991,005,914,981,606,947,
164,211,013,050,875,976,304,666,142,231,196,100,598,426,931,197,193,205,747,
789,809,396,848,221,593,861,235,878,607,307,069,607,009,682,117,451,896,355,
478,800,491,709,163,777,380,216,949,516,973,616,343,464,240,235,733,100,996,
612,598,515,578,040,199,919,439,977,064,012,955,663,908,504,718,028,275,223,
590,110,938,072,782,385,797,952,142,054,025,300,575,194,067,098,558,323,751,
567,865,670,490,280,082,064,734,279,567,473,330,844,190,124,949,045,244,619,
280,208,884,243,022,455,342,989,096,851,994,377,421,236,165,234,351,703,435,
110,529,393,970,466,902,568,536,986,183,894,428,826,180,384,632,533,922,573,
999,608,805,433,844,990,919,456,384,686,369,327,879,721,606,206,584,076,370,
922,387,595,723,342,777,536,272,075,608,300,547,588,787,427,809,887,090,612,
036,136,597,048,939,854,553,565,488,014,438,752,660,735,789,822,507,652,267,
524,482,671,558,056,226,742,197,543,547,706,936,929,307,418,732,802,635,873,
465,845,580,463,646,085,324,592,021,379,819,881,134,259,387,274,234,834,146,
538,433,380,484,686,074,070,594,109,526,331,566,963,977,135,181,388,022,223,
279,872,349,864,644,573,789,372,210,376,548,723,288,541,277,700,595,433,229,
163,777,955,386,755,107,709,135,006,553,840,396,042,746,517,379,302,627,064,
251,506,781,553,763,031,450,551,714,360,864,202,275,874,781,448,917,497,629,
713,283,500,977,352,654,091,334,119,775,303,874,086,461,402,653,605,907,731,
188,100,745,582,260,034,097,575,455,625,678,172,978,877,644,108,982,170,556,
735,059,939,717,770,940,161,070,935,296,990,198,513,925,733,032,909,349,050,
892,444,589,899,867,625,162,637,179,019,369,121,573,687,048,190,631,219,302,
327,555,534,861,565,691,887,621,551,306,007,368,869,078,504,466,654,275,807,
339,166,691,276,371,674,012,580,751,873,047,479,642,940,903,403,045,422,936,
167,154,005,579,315,734,423,209,672,102,401,354,676,036,212,026,542,812,242,
447,494,571,760,304,784,206,951,105,326,088,963,297,330,427,661,742,722,303,
274,053,450,361,935,015,833,493,850,768,094,792,893,078,064,155,067,293,445,
784,654,125,632,896,817,648,685,050,543,386,122,191,906,853,430,431,926,975,
254,272,684,791,463,665,298,973,924,684,568,940,766,985,004,657,995,503,755,
047,625,671,117,028,434,749,309,803,651,647,521,918,674,437,731,312,629,744,
217,420,416,028,737,469,243,762,367,865,604,506,698,070,559,845,367,551,492,
351,860,047,775,213,569,670,252,791,373,294,443,701,078,000,203,693,622,807,
041,984,528,261,922,542,507,662,945,583,002,619,029,641,888,165,985,912,001,
986,971,754,421,326,279,885,621,273,553,351,947,471,470,481,596,820,381,031,
399,461,558,354,139,916,538,067,258,663,872,863,879,191,166,474,965,873,173,
631,209,316,670,470,304,360,752,317,201,961,219,685,463,616,938,556,255,398,
552,386,847,627,421,134,811,803,184,371,335,888,222,850,173,667,686,703,683,
747,153,098,803,481,142,235,403,653,843,182,871,343,977,371,052,658,251,193,
919,846,083,924,029,350,094,705,428,596,127,898,147,743,941,785,430,631,892,
242,464,663,518,053,354,141,333,918,540,017,016,923,549,706,285,139,116,396,
866,033,862,548,825,364,814,128,039,565,769,097,204,311,230,325,403,933,675,
498,575,090,095,965,813,275,934,264,583,472,002,872,195,965,733,375,089,551,
059,807,630,629,896,440,002,131,151,998,501,794,966,923,236,315,824,310,831,
438,008,996,239,375,484,398,118,679,818,554,037,904,275,799,664,729,095,586,
697,824,367,233,158,860,525,886,099,278,463,247,084,571,793,554,943,748,207,
598,090,908,514,238,989,207,987,625,943,788,585,310,943,951,097,120,774,730,
412,291,145,833,456,005,709,677,385,848,007,311,596,665,183,720,367,191,044,
997,963,087,204,049,094,640,995,284,652,118,469,124,039,161,350,741,308,886,
851,444,852,794,164,328,534,363,443,548,248,191,042,280,002,891,277,029,424,
525,676,687,122,470,040,540,219,567,594,034,932,602,415,307,830,793,637,415,
474,648,596,463,413,680,021,931,973,988,207,817,483,476,071,886,465,337,271,
228,823,392,199,473,871,090,570,328,774,517,242,590,933,509,070,745,921,468,
418,282,426,676,852,146,439,467,941,812,758,924,385,363,077,383,354,305,817,
142,951,492,382,161,240,235,237,808,668,290,657,706,895,988,972,570,869,421,
504,264,975,847,885,510,505,516,882,936,437,063,819,736,897,872,310,172,519,
833,145,687,055,408,341,791,890,963,952,378,177,390,469,373,791,937,450,315,
719,518,497,698,838,566,206,718,284,452,533,167,954,615,725,452,481,858,887,
325,350,077,942,399,513,257,456,786,733,955,597,247,331,575,317,001,003,609,
287,323,405,423,692,571,389,891,405,090,184,038,556,759,374,189,131,057,176,
728,689,690,883,630,862,755,015,237,475,275,341,308,039,107,258,260,461,410,
238,520,984,833,988,309,562,888,496,289,242,450,089,565,758,111,532,058,931,
976,423,120,556,222,003,520,718,711,148,383,034,621,873,304,390,270,018,225,
747,301,978,927,629,037,755,670,364,645,194,109,936,519,293,705,814,501,363,
568,209,128,753,233,356,049,478,215,793,499,824,312,196,026,257,118,704,419,
357,826,328,280,489,904,323,092,728,232,863,179,361,225,309,283,427,769,819,
858,735,357,461,053,297,442,764,348,033,343,330,043,582,645,109,419,326,198,
372,791,865,733,134,983,024,972,298,099,573,294,105,728,193,731,177,545,153,
242,927,399,087,801,892,711,243,412,526,328,850,017,527,961,330,927,512,214,
652,329,773,970,447,855,065,339,526,100,734,770,106,889,005,354,841,300,264,
963,570,997,998,029,834,404,008,331,511,717,531,981,315,578,878,818,923,560,
534,171,463,836,272,529,115,260,790,561,004,803,063,263,146,732,367,134,418,
016,752,475,702,772,535,216,800,105,000,968,496,665,412,191,825,413,270,337,
752,748,073,930,146,214,232,146,669,534,703,799,390,314,908,562,552,886,607,
274,093,013,808,515,591,968,444,476,069,181,555,708,361,037,735,862,795,095,
624,578,526,172,210,075,454,905,665,432,127,129,664,448,330,124,882,035,896,
606,089,152,149,993,529,933,928,864,036,259,630,348,747,379,016,706,460,448,
667,777,476,162,123,371,692,511,806,344,234,199,819,810,041,562,812,101,664,
087,525,333,539,026,132,437,623,340,680,916,748,254,995,262,060,979,204,291,
607,595,619,754,564,628,120,726,670,801,906,307,943,483,479,830,758,831,677,
237,245,547,186,865,010,036,361,978,908,196,967,729,377,773,675,835,851,744,
788,196,256,151,716,597,627,571,044,261,847,895,881,124,414,782,353,759,180,
385,778,645,939,023,797,762,174,378,452,146,972,561,762,282,492,654,630,699,
660,668,953,272,624,747,667,377,920,197,646,936,139,271,333,729,765,593,895,
081,095,701,488,908,678,836,704,296,747,884,307,719,541,378,174,814,254,976,
826,805,915,988,219,268,385,648,190,575,437,113,984,049,121,308,723,284,845,
805,570,040,821,982,852,561,784,193,405,615,164,249,621,389,466,904,721,411,
132,372,628,296,383,158,156,245,406,570,662,272,271,306,396,494,021,305,295,
556,566,792,432,004,475,379,442,994,631,869,978,037,133,170,831,164,526,398,
904,251,447,911,460,720,110,354,719,444,668,754,338,378,283,423,217,580,654,
859,201,944,999,912,491,946,649,553,195,076,916,063,550,388,785,215,001,015,
903,128,885,812,302,685,535,042,794,048,391,863,797,748,777,640,996,796,097,
922,786,722,839,143,184,931,182,175,219,537,066,242,522,534,336,760,831,809,
969,842,057,824,807,920,832,336,339,795,843,752,950,312,178,146,501,406,098,
866,456,429,096,531,470,654,062,070,224,644,333,949,675,241,855,345,076,145,
936,520,984,148,907,424,630,224,695,988,903,135,200,187,471,683,272,179,193,
331,786,637,469,084,369,918,975,336,467,246,959,500,081,876,459,259,073,953,
465,027,048,213,414,125,250,266,255,378,242,720,636,130,835,594,900,740,627,
070,828,149,221,582,506,822,423,828,881,193,355,836,368,012,863,883,996,371,
563,798,152,220,046,731,509,132,156,953,535,438,881,029,272,933,091,276,959,
792,168,526,224,982,928,947,588,075,797,746,204,528,833,716,829,417,444,918,
498,688,109,761,625,129,797,431,347,899,961,239,025,070,929,403,099,669,546,
907,680,415,398,642,031,644,231,056,888,704,046,492,735,142,362,337,103,642,
990,256,751,318,236,265,608,719,178,366,728,670,131,419,426,675,447,514,000,
718,662,404,227,802,389,005,573,751,086,903,874,180,524,501,283,553,903,450,
313,853,051,124,000,375,866,316,317,393,686,064,106,222,511,945,139,787,424,
365,810,615,166,357,608,264,271,216,769,897,617,182,702,231,927,626,418,469,
048,797,072,997,307,681,329,571,807,042,773,453,557,041,291,717,587,829,896,
960,533,693,028,911,457,487,614,678,370,834,189,053,324,230,698,345,030,970,
638,286,390,056,097,442,142,181,896,572,303,242,325,405,040,486,167,128,366,
717,434,365,067,791,468,713,620,390,279,877,359,371,152,382,606,336,805,352,
052,858,562,220,877,176,869,708,844,897,860,918,412,193,415,905,638,673,549,
892,770,440,257,428,834,548,479,115,598,441,613,450,561,266,747,189,428,987,
640,678,510,237,271,296,097,434,868,696,422,351,600,907,974,678,594,386,462,
729,687,710,652,291,552,519,178,800,971,351,278,374,696,349,093,413,329,175,
114,098,878,156,413,524,880,850,418,516,927,753,710,763,904,750,002,639,120,
701,785,546,929,607,718,838,196,753,836,939,790,378,236,475,506,597,011,876,
460,484,180,497,705,815,247,181,273,025,243,644,695,382,683,491,931,041,811,
623,491,132,440,458,707,206,749,811,924,124,180,563,741,050,480,873,117,320,
145,649,165,264,304,049,370,919,564,521,199,307,047,527,919,807,715,963,503,
141,962,615,974,174,468,517,980,387,960,689,260,325,619,654,207,072,553,144,
590,937,680,376,186,924,896,441,610,544,194,202,495,953,362,134,927,161,886,
875,358,495,202,068,929,599,626,024,964,666,290,124,896,122,077,322,950,509,
706,460,459,407,671,588,271,104,670,648,497,555,855,631,540,469,103,834,571,
758,510,141,530,638,135,739,399,654,606,987,548,721,983,984,466,735,663,933,
657,705,155,921,120,473,817,166,979,767,299,661,307,100,128,405,157,630,164,
943,665,365,212,400,442,407,381,732,100,702,217,125,361,417,699,970,773,844,
932,244,308,373,254,929,035,858,652,806,442,207,578,141,294,559,842,305,389,
617,182,914,359,779,718,594,738,199,243,414,682,039,489,405,458,691,542,181,
041,623,273,524,952,484,345,831,080,203,185,955,759,983,151,115,617,917,068,
753,919,639,447,223,921,255,918,882,343,697,170,711,647,873,550,862,930,791,
796,477,698,805,397,883,214,948,308,892,290,019,326,299,287,084,711,370,933,
544,775,045,643,027,341,159,222,172,065,477,446,693,243,641,110,204,832,869,
676,645,606,103,233,212,552,351,519,837,266,977,992,775,491,630,735,325,168,
145,376,976,588,116,749,991,283,905,537,125,366,297,078,799,097,837,568,989,
651,290,376,008,181,068,637,177,072,555,920,519,454,246,558,296,651,650,763,
210,752,407,496,492,000,401,066,830,956,715,514,252,642,950,927,179,406,518,
111,640,181,060,180,166,209,284,452,889,190,380,195,633,259,449,314,287,833,
707,657,388,384,297,318,309,231,919,738,676,869,370,520,168,757,486,708,313,
786,603,082,762,350,996,802,250,277,188,997,357,740,188,006,135,008,828,922,
732,479,473,996,603,214,596,119,887,716,590,259,563,429,902,702,929,893,472,
064,011,962,879,115,524,623,964,969,488,748,261,219,578,990,257,148,250,592,
067,888,874,102,756,900,333,822,450,870,986,825,086,260,470,593,179,088,733,
617,932,946,958,935,168,175,558,970,059,375,623,103,382,556,375,974,294,314,
619,532,638,777,129,707,103,542,372,755,872,308,975,170,438,086,034,412,617,
845,708,038,808,975,490,011,195,678,953,675,698,633,624,910,383,108,514,599,
133,058,683,229,837,729,270,375,350,521,041,125,266,790,710,078,323,494,345,
772,259,057,100,414,100,531,834,850,128,060,899,221,399,710,079,013,271,524,
449,660,657,551,755,073,876,895,066,851,932,127,317,912,573,998,010,303,440,
260,733,315,119,636,132,681,786,582,432,094,009,722,758,139,408,472,475,876,
404,997,662,033,797,232,362,252,594,014,457,039,963,500,410,108,262,194,978,
185,831,942,175,842,617,536,599,316,819,206,741,587,088,928,859,431,255,415,
956,758,386,756,450,854,745,281,255,316,546,655,404,102,979,014,521,227,755,
443,597,239,807,674,045,615,337,031,359,123,450,753,399,323,404,134,141,786,
700,116,519,142,964,050,745,870,861,522,800,090,109,309,773,428,103,953,173,
017,392,092,498,122,687,472,891,659,744,900,832,661,637,282,675,029,899,666,
298,688,824,448,623,241,724,296,701,494,619,984,091,048,217,023,341,595,770,
749,051,239,915,604,981,445,821,912,556,995,269,265,154,384,953,757,049,240,
933,966,274,298,436,112,159,756,026,262,023,659,585,742,643,805,659,357,994,
326,881,316,008,837,705,672,061,584,772,246,010,529,185,002,033,544,906,119,
538,171,314,885,630,583,201,779,045,962,782,086,503,395,279,349,784,383,918,
851,964,801,796,637,163,445,436,985,715,124,385,886,932,148,662,839,738,061,
784,021,593,951,831,518,946,965,229,611,635,125,430,112,478,655,375,725,616,
464,206,453,444,885,337,974,481,881,878,339,778,591,912,809,589,972,964,022,
089,355,431,591,629,054,546,289,654,042,828,981,954,419,458,644,525,682,830,
976,326,623,967,912,186,272,414,258,921,945,973,022,390,277,730,599,463,533,
075,901,015,125,069,207,882,466,308,314,797,809,627,028,505,276,121,197,581,
674,481,807,989,956,739,818,632,706,202,737,426,856,903,577,102,638,889,362,
976,279,872,033,652,538,503,923,908,786,147,387,204,728,310,916,760,348,704,
615,448,792,644,791,922,162,601,698,257,760,966,700,095,123,161,667,609,126,
415,244,032,347,105,703,921,926,156,005,358,147,687,788,888,937,293,328,783,
476,368,776,973,625,768,012,392,658,126,903,764,494,581,647,970,992,406,277,
640,263,787,980,689,406,199,520,561,282,371,129,559,928,170,785,260,466,424,
203,827,474,464,676,840,958,954,385,729,001,756,235,236,704,954,820,799,652,
708,623,567,444,245,132,608,711,196,054,861,805,715,642,413,817,898,301,848,
265,082,993,871,902,167,636,144,842,867,949,942,023,834,206,569,013,432,520,
742,489,315,099,362,819,851,161,854,476,551,574,268,355,986,738,486,732,455,
581,566,467,357,039,981,849,054,406,897,372,231,066,975,103,038,471,668,419,
841,141,636,230,036,369,640,676,037,147,205,022,035,539,952,910,059,817,207,
555,596,872,205,186,950,985,982,854,532,058,360,034,616,038,441,445,158,634,
209,234,928,305,023,909,440,338,500,221,844,303,225,544,178,497,685,113,192,
262,490,422,519,968,033,651,905,948,677,266,360,697,902,554,996,516,809,519,
833,087,811,296,602,832,941,923,611,036,691,900,936,290,951,183,082,778,237,
604,673,286,999,236,084,551,591,097,965,465,784,728,008,683,708,555,642,810,
152,289,169,254,024,260,165,317,066,024,960,927,968,566,281,538,656,795,203,
621,826,690,346,272,275,693,314,981,525,819,016,788,157,140,021,149,965,613,
083,464,893,373,591,901,332,845,229,212,481,180,917,575,073,366,071,201,845,
789,070,096,235,682,644,315,337,555,607,570,014,755,127,855,824,731,237,344,
502,107,114,847,826,229,862,356,038,163,432,140,163,976,987,143,288,602,528,
050,621,887,423,164,833,458,768,422,433,800,827,590,005,844,328,920,567,436,
357,265,896,127,026,425,749,676,704,849,936,953,285,788,929,839,469,722,804,
157,178,517,067,155,650,242,001,775,404,846,708,621,844,515,610,265,925,665,
173,207,281,882,035,999,001,645,518,807,878,389,635,441,446,988,234,276,646,
716,018,384,532,887,258,548,805,754,564,843,811,892,662,134,781,706,715,988,
258,640,399,592,004,932,882,173,981,426,527,516,655,574,913,715,072,034,933,
272,309,397,993,897,132,369,744,326,823,918,241,017,277,498,208,071,158,089,
547,335,080,811,601,149,085,877,945,415,657,907,142,742,187,592,859,816,370,
908,489,677,267,851,124,563,539,663,599,584,733,191,615,506,674,110,061,486,
436,807,014,914,378,879,197,136,391,762,483,357,877,293,515,669,113,732,722,
181,088,286,499,473,951,349,723,304,486,706,058,960,733,187,461,986,196,513,
700,686,608,215,699,492,272,956,421,098,521,925,055,500,989,354,548,685,193,
852,546,615,484,429,615,671,589,005,571,979,980,153,325,024,654,705,051,970,
843,658,669,158,361,385,719,654,000,765,795,866,995,157,238,456,243,134,011,
008,215,656,188,193,820,657,649,430,444,903,761,644,798,914,673,892,082,942,
691,107,626,055,980,173,532,110,533,785,228,747,390,715,510,000,108,460,873,
852,979,288,586,522,482,476,039,849,056,697,047,069,553,718,843,286,042,950,
028,743,534,528,841,897,766,702,867,755,597,470,579,317,069,316,193,179,893,
854,595,161,029,385,451,087,933,437,061,183,171,033,498,623,375,856,573,047,
199,850,738,114,919,388,755,563,167,045,908,171,171,032,831,003,668,760,724,
621,883,477,014,739,648,353,928,320,238,318,823,661,130,400,666,402,762,783,
655,103,388,940,097,119,403,729,145,135,349,350,579,576,571,715,442,188,500,
234,832,579,849,416,828,049,184,584,281,561,096,618,726,654,649,528,089,620,
002,302,203,512,774,278,009,688,457,863,241,879,458,297,265,837,316,034,870,
800,455,836,149,671,967,314,138,537,036,534,579,973,987,095,131,812,154,917,
887,599,775,532,117,373,973,993,765,446,424,343,698,531,285,080,225,689,866,
928,082,555,498,476,890,078,262,967,174,988,055,861,052,076,602,549,438,880,
044,785,613,627,499,194,712,135,354,918,126,279,060,191,433,694,604,827,741,
519,852,771,075,530,621,682,179,795,593,745,236,117,628,950,442,473,079,857,
390,119,839,305,927,040,565,637,593,345,990,513,909,623,804,927,349,336,122,
712,107,811,869,699,847,651,415,080,401,428,440,635,016,775,587,252,041,140,
319,794,475,048,671,787,195,953,928,207,271,288,916,612,717,528,498,489,023,
917,823,043,153,957,684,665,978,123,224,981,925,908,041,165,866,438,598,523,
621,495,374,882,873,605,030,528,180,662,482,803,341,131,368,211,807,637,966,
174,607,386,237,213,451,356,042,630,092,953,222,439,779,474,949,010,276,330,
699,107,228,511,151,694,910,301,293,415,228,037,892,780,847,902,376,165,197,
647,732,743,482,051,074,398,337,397,909,958,573,074,963,569,762,625,415,335,
201,670,995,119,574,116,749,641,000,960,606,487,525,247,236,614,506,263,376,
809,312,500,557,225,750,530,320,168,429,821,771,693,051,664,389,522,308,910,
940,075,120,258,851,495,062,005,190,170,206,498,498,227,101,671,914,686,046,
409,437,846,926,409,551,367,956,862,931,242,815,274,636,554,547,169,174,169,
513,377,131,280,440,161,996,744,455,575,655,696,253,031,970,798,971,951,145,
082,756,146,561,340,549,265,061,480,721,470,769,168,011,333,546,838,307,255,
800,368,954,952,871,144,877,536,982,664,695,496,013,629,514,340,621,016,611,
141,395,451,285,703,299,111,747,595,776,628,472,156,273,530,675,230,321,829,
463,987,722,202,423,622,758,130,929,797,281,104,490,509,614,695,521,209,063,
487,994,733,284,381,057,658,435,623,766,277,688,978,103,191,863,833,209,427,
954,548,443,557,054,569,979,939,963,366,938,929,062,883,258,398,585,940,212,
354,242,563,036,320,479,403,209,131,825,430,026,193,062,451,647,710,889,449,
016,411,896,112,147,367,241,458,089,287,918,787,401,314,650,099,242,423,597,
193,387,354,123,550,992,945,674,316,243,981,843,140,318,419,597,681,220,676,
696,887,771,190,719,581,596,088,253,012,015,872,438,947,159,133,404,035,992,
613,220,504,356,822,373,785,572,212,838,452,148,075,647,520,409,561,116,639,
954,738,654,221,605,269,023,464,211,605,349,270,759,736,543,488,787,563,951,
625,319,277,740,585,526,986,212,788,640,438,608,551,507,443,114,307,303,092,
623,868,204,704,104,033,943,344,477,878,849,886,107,017,790,708,139,666,721,
688,299,787,360,478,285,373,011,125,665,226,651,904,809,473,563,418,320,960,
843,309,886,309,764,833,766,806,442,233,006,901,722,554,700,149,024,790,343,
502,384,053,505,250,251,578,307,988,121,158,182,484,177,485,889,320,973,476,
737,413,910,030,481,865,800,818,536,542,100,412,745,015,358,332,644,187,701,
801,207,609,809,852,679,485,813,848,653,538,556,238,082,802,270,067,033,407,
217,733,318,834,830,976,358,372,148,317,623,474,710,551,067,222,900,788,284,
537,961,767,761,408,044,539,754,899,457,879,931,629,444,079,590,749,450,221,
722,301,724,308,207,444,461,282,638,046,351,947,342,685,649,401,258,752,187,
746,630,019,345,050,901,710,790,445,419,997,022,314,066,780,221,684,844,483,
114,197,815,630,054,466,317,234,580,912,930,606,184,020,234,543,764,213,837,
900,976,064,784,570,366,926,248,530,449,463,753,720,385,814,517,526,929,663,
457,665,139,430,823,691,915,046,419,173,473,464,419,405,664,661,300,222,470,
890,490,884,926,683,277,566,997,858,196,039,064,608,258,471,822,756,068,901,
559,499,680,860,337,188,338,261,283,048,771,733,478,955,220,482,576,203,589,
961,126,133,223,695,665,849,894,091,284,732,380,207,939,013,351,220,555,924,
714,360,581,600,221,097,758,625,849,292,975,631,832,043,693,187,738,910,622,
723,839,283,597,716,129,527,894,794,028,932,214,507,710,424,059,578,947,223,
614,562,560,103,092,996,522,459,525,315,326,788,593,184,359,881,036,943,550,
503,498,216,656,215,509,425,306,380,532,802,149,420,804,938,825,658,275,468,
381,147,145,486,371,381,983,217,462,469,122,953,876,806,631,723,481,894,254,
193,266,178,580,784,662,031,097,074,952,123,451,810,483,539,428,836,018,488,
489,001,714,566,887,264,290,454,603,960,140,253,741,431,683,034,083,012,379,
449,704,314,641,352,774,280,502,027,842,067,702,280,199,588,616,955,532,183,
185,725,013,430,361,667,680,579,593,346,109,029,717,182,403,034,775,737,863,
425,291,897,812,695,619,781,713,474,916,059,054,361,959,312,585,541,020,409,
431,829,751,706,077,139,011,405,694,967,098,533,180,071,475,983,017,996,596,
142,147,685,945,074,147,762,026,884,397,543,115,144,013,653,903,957,691,748,
823,408,245,811,005,755,957,502,928,901,020,360,281,980,418,307,013,551,461,
907,327,896,347,529,355,202,735,504,866,896,994,465,539,249,673,384,725,947,
143,767,390,749,576,736,220,262,675,333,163,131,476,999,897,908,217,673,059,
743,626,407,054,993,482,299,193,975,224,865,997,924,035,169,221,191,146,053,
381,515,765,477,773,312,816,295,712,390,982,524,645,161,873,469,830,317,376,
090,999,900,657,602,552,075,816,693,253,163,724,053,054,456,762,181,901,655,
163,722,802,507,751,837,115,291,983,670,511,810,111,882,343,078,647,798,148,
452,612,921,221,659,796,008,751,188,618,213,278,739,700,812,406,015,290,737,
274,058,882,431,259,913,237,616,304,409,124,540,608,134,162,169,679,592,814,
537,951,790,268,919,585,902,624,475,618,962,147,577,932,758,269,750,944,120,
042,034,416,385,080,434,140,872,673,399,688,241,617,617,478,658,062,862,643,
511,853,097,763,335,065,599,634,961,465,167,866,915,449,891,528,509,413,338,
257,500,219,471,135,767,765,145,362,243,056,753,410,806,663,019,461,707,364,
989,629,338,458,314,237,333,871,179,844,852,727,719,882,923,977,176,165,167,
102,771,174,203,331,057,744,052,556,699,665,508,155,709,623,978,351,810,007,
876,332,928,393,831,172,870,211,036,080,437,047,100,041,220,830,859,006,820,
914,138,877,292,748,645,149,814,094,689,066,465,200,526,021,090,173,585,378,
793,430,971,977,945,030,497,692,210,880,740,208,311,130,160,809,975,475,444,
694,842,843,027,391,066,587,055,344,628,742,450,639,678,115,202,164,755,365,
108,884,566,786,168,017,304,435,567,415,214,700,725,427,752,102,654,571,292,
084,388,547,083,971,431,155,307,263,076,113,759,695,954,357,758,100,663,699,
939,461,648,852,246,112,430,522,522,016,539,466,918,477,017,059,053,808,883,
625,324,902,138,851,876,146,591,471,796,450,593,606,064,478,145,789,246,234,
906,355,286,965,255,781,211,195,080,061,275,994,687,470,499,717,571,503,364,
411,576,541,837,104,488,609,293,861,994,299,009,439,081,564,786,696,204,415,
612,363,166,742,663,465,705,396,362,228,439,745,127,640,080,142,967,234,780,
905,297,832,076,887,339,673,234,822,054,187,211,820,398,379,773,639,824,675,
476,807,836,089,105,752,030,034,667,851,762,638,736,084,409,601,555,878,279,
333,905,297,312,289,880,616,571,479,492,132,448,805,300,377,850,340,708,145,
489,360,252,466,928,992,614,373,061,550,215,391,763,599,844,766,102,523,663,
728,064,930,587,290,825,905,349,007,464,956,742,155,450,662,971,014,483,017,
508,040,944,299,004,268,191,984,443,808,873,052,708,446,787,241,503,455,005,
587,546,200,372,571,597,773,519,438,655,377,503,657,481,718,982,977,944,223,
071,401,200,051,236,084,654,059,400,221,296,349,483,927,062,614,571,427,943,
670,663,804,525,148,996,536,148,224,409,193,692,425,549,238,634,054,076,573,
982,032,380,044,717,263,877,391,871,652,886,158,855,810,229,176,141,039,431,
739,475,840,665,516,692,820,026,245,752,236,378,425,982,901,319,377,751,459,
788,007,547,495,594,261,911,219,330,642,627,426,335,940,651,684,954,764,128,
275,417,294,189,137,406,527,347,519,733,523,543,464,524,796,988,558,832,042,
515,989,674,810,615,967,428,113,007,531,889,867,682,205,526,870,850,726,801,
997,244,384,276,959,980,900,924,229,306,080,509,077,858,474,208,762,273,720,
177,436,696,596,451,005,168,241,929,309,472,744,429,567,540,538,213,609,036,
064,323,219,937,193,911,587,949,529,668,740,621,185,122,885,779,624,949,183,
226,219,569,107,464,177,867,141,394,364,425,810,509,868,955,304,318,710,184,
072,760,483,133,796,407,350,962,660,726,905,467,064,556,597,891,279,652,262,
244,892,609,527,746,170,778,018,391,787,781,949,309,464,673,442,224,592,261,
574,741,617,151,949,633,116,353,600,607,993,174,856,151,074,385,227,310,284,
060,457,565,218,958,330,208,218,704,086,696,254,753,826,370,954,510,983,692,
865,626,822,273,825,664,732,206,877,513,780,393,312,060,125,836,333,122,044,
728,696,272,631,112,375,516,070,124,668,292,847,883,186,649,324,502,504,696,
937,770,618,890,728,480,205,002,031,421,265,468,993,145,606,232,551,681,932,
669,927,515,683,215,488,638,012,313,545,118,953,220,147,089,450,459,440,439,
903,318,905,095,240,245,364,038,103,040,717,647,788,092,190,683,664,687,126,
121,986,891,751,702,704,161,993,719,417,496,729,310,356,121,159,969,959,650,
803,366,207,560,201,259,197,860,952,181,044,318,739,755,459,148,440,661,811,
282,768,968,506,401,745,688,532,302,903,172,989,171,265,045,084,688,161,383,
871,289,047,443,995,895,308,260,575,423,491,243,009,662,781,476,825,099,374,
419,059,426,368,742,326,505,021,043,451,640,165,152,350,243,008,721,410,602,
038,379,338,726,181,664,440,717,671,723,767,375,847,801,494,657,972,880,273,
687,215,177,163,058,176,443,164,547,947,252,584,114,902,642,456,431,089,978,
022,686,983,550,620,790,712,021,938,251,718,567,039,961,353,507,947,241,758,
290,440,511,523,742,191,826,251,246,269,948,757,130,764,196,300,837,869,607,
674,546,651,487,795,546,879,663,124,529,491,654,673,045,304,398,167,535,990,
518,983,903,666,734,109,889,047,384,490,386,882,542,657,230,854,869,331,480,
416,036,386,751,745,402,661,738,058,181,362,187,832,021,378,050,252,690,837,
458,912,306,806,413,994,052,760,763,142,497,945,114,814,590,584,390,314,725,
989,200,365,885,365,714,131,557,897,438,001,047,730,107,894,909,804,375,219,
393,741,435,006,405,367,061,817,112,866,921,336,350,650,181,577,131,815,305,
646,134,449,872,777,207,919,754,649,286,331,844,543,312,452,544,724,347,280,
394,886,761,278,701,527,775,764,629,483,940,299,456,030,920,398,189,416,258,
270,999,111,684,308,396,388,786,209,641,434,411,009,019,896,657,183,520,377,
975,107,297,486,225,149,184,107,035,264,188,045,879,984,688,564,221,872,261,
887,477,821,051,290,699,824,140,077,262,212,389,864,708,914,357,619,480,394,
328,044,696,804,202,896,916,707,569,796,388,033,901,920,683,538,648,290,309,
288,647,165,397,624,696,625,346,456,880,591,031,782,814,225,152,802,488,848,
487,645,294,147,464,221,706,388,774,577,628,614,022,821,699,967,123,179,826,
312,918,379,012,206,434,982,410,796,331,909,041,176,260,934,305,709,584,641,
751,379,952,509,951,335,496,875,909,561,473,394,025,155,678,013,878,647,386,
499,303,850,212,770,783,681,992,243,053,688,310,432,408,453,450,311,689,174,
954,995,085,878,291,104,420,913,731,660,855,874,995,219,567,881,517,883,562,
062,356,527,597,213,543,432,923,835,514,071,066,763,861,769,948,676,270,999,
861,146,755,863,536,687,792,712,564,351,561,342,723,118,217,702,775,013,945,
718,917,165,569,205,514,784,462,064,645,948,446,963,124,114,293,883,831,635,
096,764,344,336,672,124,934,454,351,908,785,662,988,993,741,160,015,711,740,
465,125,332,889,584,944,026,219,177,850,522,151,324,198,279,800,648,674,278,
262,943,827,799,482,810,350,241,476,227,140,095,913,826,064,037,297,570,853,
311,899,445,824,174,330,428,988,033,645,307,856,336,878,930,256,350,049,363,
136,755,559,416,477,241,102,682,832,008,707,966,070,951,758,895,702,417,628,
135,798,286,682,916,315,028,842,259,773,988,312,751,736,009,712,773,417,667,
114,139,139,525,386,845,283,799,731,525,508,599,582,435,556,217,538,980,104,
865,371,760,294,123,322,112,031,231,096,464,920,280,559,717,701,482,637,299,
696,456,485,621,103,297,515,515,451,421,974,541,218,434,853,032,150,525,376,
354,122,043,415,823,345,466,815,562,651,922,695,235,135,770,068,639,796,683,
325,988,427,200,777,271,062,568,997,896,714,339,910,327,597,584,080,278,199,
281,730,428,267,074,417,745,627,414,677,664,463,310,574,005,952,569,220,573,
069,438,230,947,202,567,432,405,353,191,178,051,503,028,685,959,398,953,405,
606,528,251,943,438,187,615,481,877,143,721,124,960,973,866,073,080,726,501,
475,785,693,117,266,353,248,296,820,254,480,836,464,379,974,323,111,169,753,
836,372,456,934,146,792,756,283,803,101,119,957,588,755,382,286,973,764,982,
976,481,903,092,900,881,628,112,178,713,684,948,159,162,384,989,965,570,365,
413,824,431,599,618,710,693,475,456,360,592,601,932,878,081,183,374,470,378,
468,714,188,073,586,660,310,819,601,130,577,650,272,213,400,602,416,370,087,
710,282,546,959,385,324,162,311,088,225,689,455,787,407,000,264,066,468,726,
518,595,779,086,984,653,817,133,900,760,278,417,305,328,876,428,142,664,675,
199,026,302,987,991,602,617,234,083,557,861,589,556,765,330,183,773,593,487,
092,197,288,348,808,808,365,711,899,905,617,261,345,093,495,445,915,976,168,
264,289,499,014,481,630,071,482,085,562,874,440,982,730,991,690,419,295,213,
768,488,100,444,317,051,632,850,636,834,149,683,297,171,463,933,128,644,814,
478,280,450,025,406,554,580,409,433,817,909,876,850,217,845,889,625,817,245,
028,406,952,551,227,769,081,154,772,620,324,810,944,878,335,255,501,331,446,
470,410,900,610,423,961,945,003,049,897,873,630,189,264,828,661,294,311,217,
449,952,218,829,356,711,594,020,358,401,980,034,890,851,795,278,784,235,985,
946,055,976,500,426,835,662,884,531,671,388,906,631,649,648,946,788,131,629,
340,477,739,390,160,706,494,077,898,796,037,273,648,751,434,260,974,784,989,
974,021,472,653,863,545,828,846,921,780,827,282,759,283,538,297,612,522,244,
989,025,471,900,677,704,125,272,218,787,018,938,788,123,435,759,022,002,309,
749,709,845,105,020,523,402,424,759,614,807,235,603,022,196,107,422,603,005,
252,928,169,944,317,829,913,444,057,195,904,896,576,477,822,111,036,635,637,
961,715,301,432,286,524,509,214,360,772,057,428,417,956,256,865,761,627,503,
408,514,480,972,040,699,968,875,801,768,831,331,601,259,772,480,279,822,347,
513,964,184,197,628,533,762,313,259,258,524,241,724,354,454,102,318,990,225,
435,270,143,653,849,607,182,536,376,035,459,449,694,569,516,646,801,679,018,
906,085,710,074,598,378,884,539,776,007,299,893,084,872,388,681,192,098,592,
754,838,625,900,288,131,526,129,252,133,197,446,713,056,494,875,145,359,576,
935,993,806,858,685,056,446,276,882,541,204,156,579,961,416,709,281,997,523,
979,133,435,357,105,595,521,579,609,756,160,651,716,881,138,905,974,476,176,
549,681,472,230,177,258,242,680,596,097,237,194,029,050,280,751,769,158,693,
339,289,717,027,435,777,845,918,131,721,487,098,039,292,318,902,286,497,521,
793,865,027,795,931,024,477,041,386,101,051,226,724,399,883,911,906,349,600,
598,268,789,272,575,213,134,625,171,324,636,294,335,282,551,327,375,747,119,
675,330,497,534,725,146,771,756,371,606,691,770,147,780,131,299,048,153,046,
530,685,193,056,654,367,944,425,057,906,428,789,413,791,036,698,637,013,344,
733,861,979,514,459,893,099,380,258,451,345,089,901,679,601,614,629,559,983,
218,567,994,785,581,138,601,091,750,002,451,140,043,709,506,113,574,479,448,
516,184,979,489,178,700,538,642,158,200,194,702,878,924,915,639,924,865,760,
581,551,273,255,443,782,925,687,837,270,671,210,440,159,577,134,042,063,109,
426,788,036,036,186,036,655,462,227,808,704,519,531,686,110,702,566,122,232,
652,632,339,830,947,009,388,881,606,227,287,499,975,306,701,499,408,078,766,
711,812,469,657,266,721,570,931,534,839,217,370,343,142,243,482,206,525,906,
653,490,803,589,226,088,530,494,200,377,126,034,151,586,475,435,238,965,530,
351,075,871,149,600,085,185,911,121,806,499,512,180,358,626,431,891,322,748,
500,940,454,745,489,061,086,466,627,572,609,200,211,660,247,644,684,746,458,
739,020,737,743,947,940,383,357,849,474,095,364,240,707,106,155,035,400,063,
191,655,270,504,725,453,269,150,291,980,163,932,200,329,024,203,018,788,524,
454,177,054,998,179,989,383,793,125,537,581,572,537,887,077,261,993,671,852,
228,590,688,105,613,585,467,111,974,006,404,868,236,516,884,509,481,083,092,
028,427,138,082,853,549,979,039,543,467,342,105,435,125,468,782,011,004,148,
028,205,191,229,458,182,755,643,692,506,271,248,859,256,074,474,649,005,617,
587,971,507,686,346,321,636,289,732,329,390,128,614,599,862,724,217,582,366,
669,556,046,675,729,356,577,867,521,983,259,040,776,476,659,833,098,107,986,
370,401,578,475,070,051,223,212,380,754,150,627,243,980,750,948,648,606,709,
946,250,740,469,925,152,149,216,874,994,295,222,835,497,529,330,129,421,342,
875,409,440,442,233,653,530,358,216,915,128,145,833,804,975,725,025,023,494,
963,405,300,342,196,784,727,360,327,548,573,219,498,307,122,633,049,108,147,
560,706,300,375,711,290,634,727,592,661,979,462,057,746,531,299,912,481,676,
706,153,266,845,064,740,863,575,947,815,966,030,514,980,905,135,527,919,938,
812,286,949,090,843,898,644,726,124,020,310,600,364,873,717,517,139,077,199,
737,635,887,744,639,723,067,067,176,850,209,031,520,356,328,006,072,255,387,
645,643,580,819,997,805,652,312,185,415,039,314,377,484,709,245,356,321,642,
304,532,906,204,258,709,141,783,218,898,895,478,660,814,165,189,389,244,540,
020,678,389,101,334,044,509,907,667,912,880,818,548,751,820,834,091,608,320,
648,141,834,379,684,904,173,133,223,624,278,868,741,772,053,163,724,808,445,
164,573,659,608,942,684,922,069,916,849,751,790,608,023,981,639,638,917,176,
516,522,632,973,024,244,269,683,963,872,378,234,279,431,453,790,591,010,922,
323,207,769,821,937,823,908,326,444,607,824,767,854,162,921,598,964,969,076,
139,021,966,125,890,303,208,784,398,716,539,355,154,349,152,777,936,504,126,
500,626,611,063,191,638,614,128,663,433,990,731,205,213,570,608,607,669,511,
345,213,403,263,991,301,662,957,848,198,911,748,570,546,893,492,010,322,414,
011,440,968,214,560,745,452,709,584,454,817,652,626,499,806,097,562,310,155,
689,214,071,515,052,430,002,580,527,615,562,166,791,306,290,889,415,588,570,
392,113,609,816,040,087,701,539,150,795,549,605,527,841,102,526,047,471,712,
791,518,702,785,500,533,529,189,276,932,867,652,320,730,943,331,421,716,868,
885,706,967,286,392,211,805,008,433,989,852,839,427,352,084,973,302,468,098,
678,125,804,099,465,144,613,196,953,829,699,413,131,122,774,878,361,699,674,
173,830,997,385,849,739,190,775,641,803,717,501,340,413,288,951,924,406,211,
935,009,022,678,415,926,414,173,361,997,678,958,737,014,287,962,688,705,270,
345,089,548,151,636,045,752,662,990,570,241,819,513,124,110,453,271,647,573,
872,303,853,194,116,701,464,151,261,879,254,361,057,914,267,235,907,799,343,
726,603,011,115,656,244,740,795,688,213,738,298,723,581,927,122,973,177,774,
097,601,058,682,998,178,477,967,705,300,794,153,158,644,279,796,345,376,060,
481,815,570,071,549,916,454,434,170,308,383,159,326,230,902,669,647,234,874,
054,723,382,865,039,605,789,604,042,784,589,850,084,449,138,314,928,256,648,
216,124,024,469,019,864,625,523,432,620,657,623,497,361,102,299,315,477,619,
119,889,869,555,457,143,341,059,333,076,307,636,170,962,149,451,291,825,253,
931,449,589,201,946,035,250,091,054,204,073,690,625,789,337,057,386,644,413,
472,917,896,537,845,778,811,661,939,276,745,148,865,104,094,082,195,064,514,
986,512,260,486,812,381,774,021,677,168,031,669,640,773,103,549,713,675,344,
062,531,135,183,627,718,225,080,423,919,015,233,317,962,579,810,557,898,864,
409,286,041,176,811,485,405,791,120,595,162,405,589,676,771,572,261,283,994,
891,944,330,581,980,618,992,254,428,405,068,125,326,662,727,682,287,405,805,
518,710,327,670,943,987,831,238,948,133,380,316,114,811,813,733,992,839,625,
202,281,951,562,994,879,141,678,720,834,481,573,920,627,553,340,464,966,585,
337,041,810,507,651,261,812,056,258,481,638,642,495,565,335,343,452,203,176,
669,545,776,577,005,887,785,220,198,071,748,942,920,975,619,730,659,942,861,
301,121,550,820,842,516,954,040,433,276,411,949,644,058,821,442,918,171,742,
212,860,569,243,374,728,869,125,297,451,549,327,450,768,740,065,690,855,085,
570,057,509,620,061,195,232,987,022,934,376,345,523,525,909,122,513,157,497,
092,944,485,664,332,040,821,822,104,535,989,453,580,109,678,975,691,944,703,
850,542,557,444,531,417,746,879,260,883,522,795,018,926,273,640,712,394,348,
039,550,018,253,964,311,842,869,150,689,975,860,101,194,587,395,483,656,325,
403,196,941,862,167,323,083,113,818,188,492,649,546,602,332,562,328,770,008,
584,430,375,591,523,784,183,562,835,707,454,125,335,797,777,831,722,572,604,
005,372,662,402,266,168,946,592,328,827,860,399,677,384,018,425,129,043,531,
546,284,403,570,780,636,194,502,098,669,831,581,789,703,726,293,468,889,833,
697,055,369,544,790,412,352,620,910,993,430,167,982,950,195,458,271,718,445,
801,034,339,746,962,830,752,277,138,896,305,254,391,587,443,141,812,479,608,
812,921,727,899,464,109,622,739,324,522,551,209,252,368,448,392,420,125,811,
075,363,373,069,035,664,385,348,384,564,819,669,582,152,471,158,877,320,437,
100,689,416,260,309,964,749,620,330,811,439,955,561,855,667,686,460,999,533,
289,630,083,923,806,878,870,736,291,867,743,202,919,621,714,414,881,542,431,
986,125,004,930,203,522,113,759,525,697,720,084,477,696,540,494,088,227,098,
542,914,322,101,552,532,707,072,796,095,156,505,868,652,414,314,909,734,170,
337,683,263,759,480,906,915,411,706,315,413,126,774,981,755,258,424,820,105,
624,689,476,480,810,994,606,469,614,273,433,485,123,466,126,148,825,314,523,
113,572,258,883,877,220,579,706,147,279,915,068,779,138,924,454,766,628,972,
747,267,052,594,388,582,305,781,012,564,149,287,262,661,387,668,349,992,258,
102,342,587,272,397,544,097,305,132,837,859,667,896,458,790,272,370,501,770,
912,275,914,264,615,657,669,661,622,021,033,428,320,106,029,278,607,200,027,
762,586,035,715,035,484,127,877,294,158,628,983,949,350,715,018,277,175,829,
919,415,746,304,063,346,045,798,753,469,769,098,885,156,481,469,927,857,327,
644,737,626,251,214,380,492,471,092,203,353,420,314,429,318,468,080,470,643,
910,199,037,234,317,234,824,319,771,360,381,365,128,525,474,072,326,618,681,
160,886,834,363,528,132,142,065,716,439,505,102,991,297,273,571,054,230,447,
807,487,559,984,518,577,565,006,474,427,331,881,535,998,963,637,676,877,300,
367,413,282,307,930,518,931,290,341,473,109,836,944,312,882,089,125,946,633,
092,082,354,946,289,514,192,016,445,891,888,389,734,133,146,147,804,753,088,
869,618,667,889,704,672,619,831,289,406,534,663,223,492,421,759,405,500,616,
577,213,701,509,142,225,986,066,209,420,888,720,307,382,393,279,344,032,456,
213,219,050,966,301,268,199,969,469,295,926,786,839,019,725,254,757,931,882,
987,706,130,982,182,829,310,066,486,441,502,124,589,540,192,896,150,607,413,
984,426,077,912,796,043,164,807,890,643,567,354,675,963,244,047,741,452,360,
186,175,091,944,634,491,166,723,671,326,326,836,468,911,322,623,020,792,857,
752,581,023,361,036,552,542,802,079,418,580,524,117,153,213,107,796,400,047,
281,698,026,490,817,992,336,622,736,355,976,253,602,774,582,090,202,936,646,
327,594,769,866,026,423,743,206,134,713,056,663,199,645,705,940,017,410,634,
741,717,574,514,088,289,356,325,195,910,747,185,399,165,739,183,975,385,933,
450,431,827,362,841,356,314,004,151,883,236,232,374,975,296,905,887,102,268,
425,286,922,572,527,768,908,661,994,357,526,637,266,312,236,877,431,124,260,
378,672,288,056,632,569,792,084,020,899,756,265,758,337,647,069,223,782,397,
782,800,520,968,319,444,992,267,161,766,801,944,385,250,557,565,069,005,496,
404,534,683,249,355,408,230,969,727,176,376,366,497,398,308,500,249,314,080,
995,249,058,966,310,032,435,633,498,697,744,492,080,537,369,720,931,718,279,
560,909,016,785,452,391,809,660,729,000,123,085,855,935,065,022,080,718,114,
670,488,080,892,544,364,476,600,894,906,672,141,701,444,361,007,194,646,414,
986,562,077,230,511,001,974,944,471,863,039,722,179,272,354,070,643,723,960,
471,269,711,040,844,635,826,984,513,784,877,523,890,191,843,158,040,818,914,
893,219,690,230,763,743,971,951,644,161,453,071,045,641,807,692,537,310,371,
396,989,884,050,811,251,001,407,603,033,672,195,821,188,836,565,966,265,524,
653,310,844,856,680,109,431,778,307,204,985,342,471,954,393,510,750,995,779,
838,161,200,806,181,480,114,818,245,588,046,434,512,605,847,198,198,162,567,
923,584,499,158,124,775,205,203,790,943,630,909,289,124,524,656,275,600,363,
546,491,461,510,008,100,409,196,564,215,152,526,586,232,057,850,505,791,884,
487,891,463,350,434,533,905,072,621,405,325,659,674,499,004,938,605,602,969,
287,127,538,712,283,404,582,779,864,406,486,986,597,356,937,636,725,141,081,
842,033,923,018,708,144,481,027,188,359,802,679,843,807,071,438,460,157,856,
896,014,787,062,427,430,696,650,283,457,947,098,682,819,559,805,908,189,125,
118,582,099,988,248,079,286,902,762,203,646,890,978,485,326,694,419,519,152,
023,162,775,346,866,560,459,356,499,032,517,489,262,396,649,409,921,298,459,
427,213,752,323,652,019,928,815,284,145,399,256,642,300,434,507,354,466,099,
128,967,936,376,173,054,689,194,714,402,859,693,448,598,490,290,365,657,939,
287,526,978,138,625,050,033,731,041,042,099,989,163,207,145,129,662,833,304,
537,461,780,299,743,630,910,766,022,110,188,044,466,963,201,945,355,544,071,
155,395,321,697,381,532,454,395,162,463,210,652,036,761,438,691,168,691,740,
499,605,532,474,089,893,136,645,301,722,000,580,503,629,169,864,053,538,274,
856,389,513,903,648,669,308,022,874,536,021,765,718,197,684,084,453,822,833,
759,456,742,114,280,347,403,959,566,620,734,003,027,659,445,181,070,128,448,
846,520,802,383,520,674,251,557,806,149,790,551,506,116,393,500,927,347,371,
409,154,683,471,918,247,181,234,348,097,862,579,663,566,921,174,957,180,220,
864,394,248,410,871,354,717,208,516,431,615,246,061,182,241,765,791,666,536,
185,119,869,086,090,837,533,993,634,160,544,265,784,386,636,856,871,684,805,
780,501,141,293,071,431,958,250,976,530,652,789,095,799,193,005,442,095,034,
551,279,570,898,543,586,114,685,210,401,497,517,919,756,930,189,675,922,403,
957,192,811,928,570,925,102,426,189,989,954,166,192,989,216,362,641,240,835,
177,463,227,218,792,844,830,042,748,127,617,995,747,909,182,670,615,683,975,
646,306,827,554,010,217,221,866,305,602,316,696,735,401,154,088,136,280,443,
851,855,059,661,844,283,657,891,387,831,224,072,029,299,972,228,372,301,620,
322,945,796,487,656,523,129,215,140,497,052,106,779,751,255,459,030,998,439,
200,326,872,352,754,510,825,542,132,233,799,203,636,419,041,528,895,388,532,
541,900,778,846,476,442,819,018,560,420,042,421,199,504,243,996,521,924,519,
879,656,155,194,119,814,132,276,337,911,432,871,884,416,995,115,874,972,405,
336,518,106,486,229,539,586,308,038,962,480,105,049,932,707,196,683,842,115,
155,185,466,735,696,839,961,825,361,483,554,816,496,424,238,111,312,287,608,
597,293,065,962,055,705,662,388,612,222,106,642,378,950,860,627,582,374,004,
353,839,763,322,172,124,981,660,521,921,214,538,295,514,860,051,739,742,239,
483,278,050,831,141,226,616,892,208,160,634,094,654,843,003,303,890,885,439,
978,942,322,132,175,930,601,435,591,025,367,654,986,870,932,182,260,265,558,
565,431,851,601,729,064,533,472,307,400,469,520,318,767,767,191,022,042,193,
403,467,902,534,279,701,189,224,451,907,994,810,911,168,443,012,230,696,546,
765,389,555,571,772,721,937,323,111,612,368,544,652,181,404,749,989,086,031,
207,027,753,667,617,878,537,210,361,901,347,917,905,571,826,258,721,247,687,
935,039,118,256,341,866,808,318,185,204,963,229,034,306,465,792,255,446,030,
800,034,158,867,677,847,822,591,415,883,732,700,843,549,912,375,596,412,082,
365,581,930,791,190,429,406,761,848,929,341,434,451,612,405,220,458,445,858,
613,119,112,361,607,057,041,418,080,609,559,901,728,038,670,358,532,258,156,
329,308,573,164,563,430,493,373,885,965,484,752,889,049,947,736,748,001,980,
065,023,836,253,088,399,034,727,268,533,490,533,399,885,584,900,395,755,313,
879,893,817,565,212,446,104,418,754,254,357,583,884,720,956,816,020,363,240,
919,398,929,859,552,963,141,787,995,006,395,285,242,706,465,515,482,229,331,
624,942,879,977,137,764,534,626,417,519,572,168,214,347,082,165,677,328,163,
176,097,286,992,695,657,534,057,128,497,955,436,004,912,831,460,107,618,676,
264,107,090,496,308,674,253,130,684,970,456,090,536,709,963,965,006,777,955,
578,244,745,300,457,368,277,457,911,161,639,652,642,021,887,307,011,114,004,
445,422,583,729,331,526,944,076,269,973,396,615,696,725,361,887,185,058,939,
463,212,270,001,169,198,447,839,156,794,110,332,979,158,808,160,736,360,012,
487,566,471,840,861,463,890,666,183,786,724,282,409,914,050,097,795,036,813,
468,596,520,248,426,674,037,962,513,583,926,371,779,787,261,877,922,323,947,
033,415,184,382,857,188,713,246,929,642,957,231,672,378,083,029,734,829,195,
933,137,459,423,584,293,915,154,150,458,768,965,576,566,208,615,963,513,644,
432,943,321,138,177,119,519,566,287,968,084,147,642,439,559,786,250,463,119,
781,476,221,876,098,063,038,448,129,021,439,949,258,500,152,713,320,841,827,
023,718,735,562,821,589,401,834,405,642,328,470,285,053,547,885,675,681,944,
101,979,296,573,840,254,560,763,554,170,758,957,231,469,184,554,675,970,185,
618,875,234,720,466,814,136,475,893,430,136,661,796,963,099,440,639,697,472,
454,523,742,121,706,978,265,463,817,973,331,021,304,943,144,154,307,102,185,
997,636,054,098,500,409,337,607,683,406,584,500,674,195,893,737,433,921,763,
518,327,797,959,440,579,527,139,450,279,171,918,481,222,076,443,425,421,795,
316,039,333,000,343,938,913,011,377,528,484,660,147,846,729,328,184,228,197,
725,181,301,203,736,701,662,877,894,903,705,660,499,731,270,256,549,037,868,
229,643,977,824,407,676,199,748,031,972,060,591,820,016,935,479,317,071,198,
319,750,016,173,773,714,406,202,006,102,961,828,644,600,242,557,490,092,907,
626,098,934,583,048,582,377,524,511,777,356,419,399,418,814,692,496,962,299,
627,654,133,544,072,555,210,786,473,954,006,253,006,385,998,191,191,468,627,
585,703,266,037,103,131,362,340,995,393,999,708,321,569,318,841,352,129,413,
302,799,424,458,112,435,022,385,126,751,478,131,551,113,468,757,791,853,997,
894,300,778,055,382,964,202,475,472,276,579,705,103,614,787,918,919,453,169,
952,330,395,829,368,606,030,163,532,298,482,880,340,494,027,453,284,804,713,
266,423,312,319,621,228,925,140,013,130,657,097,209,883,153,314,093,098,103,
645,341,856,354,742,240,924,900,807,815,982,596,172,699,893,110,017,065,281,
136,695,034,833,031,981,458,746,428,648,578,864,691,560,193,718,284,060,022,
176,828,995,609,796,054,803,261,148,950,464,477,158,180,784,972,504,975,657,
814,417,316,552,382,138,566,429,891,996,834,609,722,314,562,023,197,586,822,
184,942,582,692,909,694,281,318,657,797,122,996,195,448,014,595,636,130,792,
739,375,298,360,305,086,064,515,026,110,312,953,065,902,052,543,046,333,431,
166,364,590,875,619,692,461,449,984,105,775,769,996,981,234,706,221,203,787,
699,395,790,301,011,992,279,458,533,980,748,111,243,440,131,844,838,888,221,
022,125,417,898,707,699,950,013,265,585,446,183,142,759,141,399,394,270,385,
177,143,025,853,623,203,530,596,503,201,090,713,950,510,214,942,478,088,473,
843,358,824,894,232,670,907,926,126,181,041,139,711,519,950,132,470,464,289,
303,089,590,044,071,532,887,565,358,645,329,378,237,988,127,117,537,823,171,
166,577,191,493,299,380,336,346,178,197,867,016,540,699,600,173,756,803,876,
360,384,618,921,493,294,956,741,977,600,439,981,253,505,580,145,851,503,228,
996,974,326,051,144,881,079,044,687,453,211,635,737,384,110,462,883,749,848,
648,844,932,995,678,149,298,706,501,346,313,789,751,199,968,617,280,380,212,
444,666,316,393,185,488,159,013,544,328,873,062,962,357,339,817,675,880,444,
622,641,317,340,527,098,501,785,066,468,102,392,017,772,434,115,735,775,207,
737,307,029,033,359,224,254,545,127,792,823,773,609,284,835,315,224,640,326,
534,689,196,548,794,240,076,575,612,727,996,744,151,625,735,892,411,523,603,
503,629,552,172,859,100,602,490,310,349,386,349,912,566,117,459,504,306,706,
285,535,665,333,832,163,924,630,314,409,008,549,415,681,736,220,504,932,171,
340,626,756,583,700,021,489,480,288,083,569,598,430,641,332,930,078,968,383,
025,958,699,663,885,531,164,069,706,493,749,523,079,209,416,123,858,605,443,
885,650,237,646,939,177,547,592,236,012,930,651,832,781,140,175,404,629,070,
835,839,625,676,973,744,893,489,096,016,871,690,337,420,598,623,570,113,545,
837,860,927,970,507,761,499,257,969,661,871,319,926,694,668,812,938,334,292,
282,948,001,192,963,860,204,715,524,015,445,014,189,844,630,045,513,457,879,
873,431,180,645,262,893,424,742,164,128,769,664,192,438,489,303,479,930,761,
280,905,068,651,233,738,337,704,170,521,230,504,533,590,371,443,723,761,558,
682,613,012,248,728,619,607,147,482,792,965,378,676,231,733,920,874,806,423,
916,208,289,581,848,892,475,171,470,364,013,458,176,345,518,417,370,921,533,
644,287,201,039,831,423,917,588,742,899,678,784,318,978,107,495,386,926,897,
164,716,017,557,903,840,225,359,071,496,641,223,015,965,487,520,903,381,815,
089,437,000,600,864,782,870,458,863,781,845,258,126,578,868,142,451,920,471,
271,645,714,320,823,281,674,105,781,390,809,326,570,457,406,538,347,084,842,
066,583,298,353,936,839,901,762,938,681,944,369,085,588,066,274,024,609,172,
099,550,218,214,098,557,548,377,295,951,220,159,348,102,986,784,285,144,851,
512,687,294,224,589,095,113,374,483,232,771,971,050,022,848,454,059,344,609,
741,120,776,190,230,861,822,089,877,313,125,338,967,799,532,127,872,665,359,
099,580,064,893,000,864,599,692,394,489,914,285,106,276,452,877,002,294,180,
655,396,308,828,426,055,888,784,269,094,176,021,577,906,016,445,006,479,725,
390,302,922,321,912,418,152,307,095,698,189,274,226,683,060,449,997,062,718,
915,138,017,188,813,245,841,464,317,771,059,705,824,712,734,319,986,161,080,
096,192,922,340,893,522,827,392,245,995,554,446,005,697,562,576,830,318,494,
852,242,141,752,433,326,520,062,227,819,323,562,816,246,316,731,179,617,434,
374,104,572,081,581,196,778,460,411,886,632,699,375,424,404,069,907,565,679,
785,375,719,082,370,495,510,925,734,912,733,675,333,984,909,123,083,456,033,
825,351,272,889,111,148,055,670,882,593,022,932,296,051,874,948,192,845,800,
255,564,155,711,813,056,596,096,563,140,218,740,846,144,291,214,396,975,853,
643,877,283,351,775,902,714,796,896,297,476,191,059,296,123,565,581,140,718,
089,659,192,880,937,697,630,413,571,785,374,892,340,281,610,777,569,106,540,
457,555,500,408,445,318,403,504,282,692,849,871,117,173,522,960,886,778,630,
562,326,875,618,361,099,336,742,410,207,297,511,911,688,704,733,708,165,043,
568,260,561,035,332,939,777,950,325,461,128,144,425,237,670,866,284,333,436,
130,040,800,498,558,181,865,533,334,736,680,280,429,662,636,191,203,777,430,
684,669,702,446,440,426,341,646,881,366,049,436,386,358,966,282,132,568,472,
340,194,592,381,524,209,608,976,722,038,651,944,953,944,510,048,331,977,564,
486,945,109,095,808,764,075,945,974,592,416,869,107,915,070,475,824,003,566,
857,115,455,679,652,102,121,759,650,359,778,842,419,215,674,481,801,151,822,
621,456,934,128,325,495,670,997,223,719,421,207,524,020,591,474,888,213,276,
977,603,582,821,619,737,225,873,852,357,435,754,278,430,662,781,814,003,963,
070,852,531,747,426,145,418,457,434,522,339,686,404,470,400,953,593,804,609,
102,663,511,976,287,810,728,882,406,218,957,511,272,226,016,373,054,872,569,
290,526,642,487,053,702,074,405,819,016,583,866,435,393,394,967,148,482,602,
590,261,774,596,730,126,934,685,708,805,010,560,806,535,803,255,158,995,201,
808,053,639,704,871,075,360,792,602,583,711,816,835,891,987,922,805,829,175,
036,627,820,032,145,852,333,683,528,706,412,915,908,134,818,740,316,633,005,
644,229,039,792,252,054,330,549,753,820,099,317,665,720,896,420,971,166,335,
302,191,569,606,714,272,401,098,613,209,218,626,850,656,694,627,898,123,143,
914,480,560,404,435,442,653,779,215,282,800,706,206,300,603,307,822,255,028,
967,847,597,135,783,929,650,348,553,064,259,940,853,164,379,208,633,162,825,
348,453,377,494,558,218,947,192,354,989,986,443,597,893,109,398,227,307,387,
153,525,834,980,217,541,983,683,377,590,522,692,120,608,967,447,528,997,887,
235,877,262,541,434,152,431,681,741,582,240,148,072,323,186,156,993,231,934,
446,579,023,358,041,188,629,789,967,347,682,833,795,085,987,134,682,592,762,
221,715,085,395,231,003,365,856,549,609,278,675,597,418,186,569,232,428,699,
082,901,436,516,903,562,106,037,286,545,383,484,914,447,274,454,240,581,659,
994,723,465,294,320,059,080,033,147,126,334,111,705,996,658,316,608,088,020,
788,197,164,333,890,990,272,671,686,978,198,794,793,148,784,078,426,450,317,
929,220,875,250,305,747,365,498,269,092,870,553,264,745,601,609,371,192,451,
928,879,329,288,031,740,783,906,151,109,016,849,610,727,149,980,156,690,754,
004,108,434,749,493,605,978,491,055,531,426,275,812,295,168,950,615,849,787,
685,623,595,168,739,925,488,657,962,371,987,918,935,870,464,979,481,697,716,
757,020,360,121,464,519,378,826,340,304,342,569,919,912,509,368,625,218,548,
781,871,031,895,768,364,813,536,732,955,419,212,664,489,507,055,171,240,708,
780,448,567,534,077,045,017,482,638,129,906,967,176,965,071,734,956,105,846,
434,687,572,823,869,300,795,075,775,149,459,435,492,366,081,139,197,337,080,
160,589,260,434,916,785,204,808,634,872,285,570,430,306,290,928,354,255,242,
648,139,506,570,468,122,479,866,833,619,792,715,236,775,836,683,896,725,023,
853,134,526,576,110,102,797,429,724,778,872,039,873,549,679,575,521,972,627,
617,172,482,470,994,686,597,378,840,705,587,540,354,925,622,390,753,045,567,
319,809,587,155,725,902,999,713,761,605,320,330,746,929,720,251,220,729,361,
559,709,549,148,052,852,099,040,530,518,117,292,537,032,021,209,651,478,905,
624,697,076,844,060,621,566,622,223,805,640,559,023,226,631,366,686,055,945,
700,570,885,030,680,371,927,528,424,579,088,717,592,519,068,759,514,718,265,
769,930,263,060,638,129,853,285,109,042,370,011,620,635,273,388,983,225,071,
782,104,404,853,200,312,122,283,216,422,240,705,120,513,443,247,371,580,546,
740,721,706,267,256,936,126,111,224,073,822,896,223,003,990,712,640,491,975,
832,923,147,925,029,779,278,703,033,929,600,978,593,697,379,515,258,354,231,
613,907,026,857,603,229,680,956,467,487,184,881,939,103,957,078,159,638,002,
950,797,705,989,412,767,651,926,791,572,285,251,543,627,887,249,231,334,595,
154,435,518,873,086,858,025,516,852,868,677,282,514,582,682,078,732,668,096,
744,869,763,279,550,146,369,981,737,651,170,669,122,738,664,693,222,934,568,
462,214,306,609,005,007,075,484,908,764,643,715,230,106,921,099,024,395,844,
735,846,110,399,497,878,005,557,064,894,448,149,139,686,145,964,800,339,670,
167,005,784,220,733,810,025,531,479,973,124,893,962,000,031,419,057,589,189,
921,552,062,212,226,576,108,034,314,190,278,684,710,230,963,066,936,051,069,
492,751,251,358,965,241,151,773,838,800,980,206,079,982,477,186,935,697,755,
287,707,785,625,376,077,607,559,575,953,555,552,425,896,644,606,609,952,229,
863,354,553,367,555,183,420,450,551,901,881,629,654,911,947,560,660,039,199,
517,941,175,180,068,913,556,498,011,862,586,786,131,828,283,437,614,650,342,
041,287,989,673,468,018,336,175,714,333,407,353,083,332,978,898,421,409,490,
842,927,936,984,201,944,528,449,896,851,350,314,967,567,641,318,854,531,529,
544,078,698,512,695,537,656,752,810,461,787,138,039,682,774,258,116,025,443,
669,432,717,760,678,168,942,094,992,263,722,420,157,985,876,038,477,360,802,
788,560,603,639,501,047,153,903,452,032,342,511,753,935,041,397,313,570,417,
426,099,626,981,406,834,999,739,972,834,027,054,209,350,318,143,234,893,481,
635,065,046,220,910,080,941,448,024,751,187,779,898,468,951,760,002,230,475,
618,473,751,334,525,067,811,111,126,378,693,796,010,167,907,642,534,429,571,
303,832,903,570,493,137,064,600,967,311,545,954,536,966,089,066,969,155,870,
696,395,541,181,507,248,750,671,049,634,954,299,638,119,475,774,413,064,890,
957,892,150,381,040,428,467,933,643,906,531,993,190,689,489,855,399,315,095,
437,538,599,574,919,317,461,680,676,153,286,597,580,849,161,349,775,769,909,
695,460,361,102,384,161,695,798,935,420,924,587,422,808,415,339,224,096,524,
009,935,318,452,741,136,743,670,211,104,922,523,290,992,431,298,675,080,951,
828,213,497,153,790,172,317,841,632,577,336,013,809,792,250,594,748,997,058,
181,315,183,331,527,271,905,970,441,055,673,983,042,455,310,512,692,625,572,
552,738,987,638,199,909,860,995,042,796,705,351,589,101,760,510,144,539,216,
437,690,956,316,665,945,222,697,256,295,038,365,063,240,295,516,910,646,087,
192,805,857,518,715,125,375,409,218,353,045,223,346,235,249,224,994,560,984,
508,069,793,024,504,870,774,245,590,404,855,839,474,763,156,859,843,157,526,
313,232,474,663,565,251,232,285,990,307,506,573,589,324,756,214,947,267,368,
474,229,520,991,226,909,042,725,091,858,426,302,979,311,739,402,850,977,965,
478,029,722,395,562,105,805,253,599,342,622,856,582,595,234,680,130,062,161,
928,141,891,380,120,611,856,118,674,415,145,630,563,438,057,685,798,388,510,
922,657,297,168,575,100,821,470,105,399,037,542,525,174,369,248,969,141,484,
242,801,849,591,865,014,304,863,405,546,584,536,422,957,766,635,906,492,311,
375,111,597,174,498,033,275,969,899,575,334,057,521,463,930,151,305,100,948,
091,858,545,625,216,313,422,270,245,127,076,756,231,490,627,535,353,116,325,
267,603,466,619,215,836,667,821,680,188,815,404,054,714,354,889,909,973,236,
026,811,511,536,944,822,512,798,328,004,045,777,182,823,744,041,368,540,715,
674,938,340,546,653,849,570,663,062,291,771,290,846,815,683,883,405,237,772,
603,614,172,902,418,253,744,049,464,555,641,671,275,918,262,294,952,158,277,
921,062,378,543,344,103,720,951,363,939,952,523,712,728,064,667,793,979,487,
950,194,170,052,531,742,056,051,363,018,288,479,014,312,365,096,594,736,780,
406,831,851,938,328,228,229,271,695,638,704,655,255,174,338,109,511,987,073,
019,576,941,021,245,314,356,960,469,475,292,249,878,820,301,650,571,100,328,
254,124,201,311,717,585,769,503,764,778,860,885,346,952,316,819,940,253,520,
457,449,285,754,475,412,349,253,301,679,884,738,562,550,255,146,776,417,499,
964,656,149,055,033,611,078,435,161,816,620,353,182,394,260,182,752,888,145,
530,941,295,067,407,371,178,733,733,435,836,744,728,555,405,298,555,847,818,
793,931,515,085,576,944,120,207,722,948,112,613,173,231,327,122,381,799,267,
140,674,773,558,610,945,296,812,968,331,323,525,088,481,332,792,163,196,432,
085,821,312,036,308,824,538,982,181,119,319,894,580,754,357,927,668,944,595,
136,059,471,401,406,934,321,127,564,643,876,517,183,259,291,962,762,151,209,
072,030,068,513,869,835,410,305,519,980,242,665,514,419,831,278,761,394,557,
491,898,479,664,417,656,686,315,235,810,257,180,715,070,046,912,152,412,001,
124,251,140,038,373,232,319,518,863,166,010,920,809,767,580,751,097,659,830,
893,854,014,601,780,029,260,968,078,325,998,786,247,006,584,184,396,699,830,
727,286,009,036,129,488,324,665,216,989,255,039,906,006,916,749,463,803,976,
412,168,750,077,924,540,496,189,554,504,770,506,041,827,210,830,574,629,317,
410,070,270,134,695,524,395,647,708,674,299,629,852,943,170,620,124,972,920,
543,241,739,312,678,811,385,663,497,577,773,319,172,389,959,179,319,847,371,
765,716,475,000,128,190,692,318,488,592,130,827,580,362,453,001,235,025,399,
973,754,682,462,690,586,040,362,180,195,515,087,165,773,285,491,347,622,624,
981,465,342,404,591,423,485,816,653,609,134,239,256,007,179,832,313,669,706,
255,342,082,955,457,797,203,389,513,326,223,926,650,544,040,648,600,328,613,
127,006,218,165,810,125,766,352,457,830,158,825,735,663,371,660,205,193,251,
444,189,911,441,683,281,028,448,866,173,471,701,156,495,220,788,320,032,343,
078,035,499,243,832,070,577,418,805,135,482,988,549,490,610,739,431,650,205,
418,197,400,319,333,977,106,728,201,630,286,028,303,601,886,177,202,713,986,
203,348,008,213,547,977,563,503,658,709,194,319,556,998,425,571,066,059,725,
950,662,090,042,136,763,307,161,195,337,071,538,210,009,472,461,314,240,417,
507,978,162,405,082,266,219,575,200,009,013,842,158,887,139,313,161,253,359,
948,124,024,847,181,690,074,246,361,367,967,784,642,794,577,633,440,471,800,
984,372,592,010,400,827,740,891,315,772,425,152,611,552,049,431,745,160,558,
574,454,727,304,393,316,351,706,935,215,481,542,545,347,281,360,990,398,892,
238,728,801,179,537,806,733,836,397,353,971,053,307,405,991,958,076,900,767,
711,980,631,618,550,764,949,145,772,756,192,384,855,500,412,481,917,312,651,
799,843,893,406,341,175,771,229,580,802,745,197,712,336,651,212,534,824,607,
046,448,838,761,033,745,816,943,140,344,674,029,395,149,014,366,494,967,378,
128,189,912,205,445,579,560,793,506,602,545,608,101,643,980,924,310,286,090,
692,348,430,206,819,170,640,246,483,815,261,348,392,095,903,485,478,053,976,
761,559,461,901,892,089,092,946,839,971,746,067,889,487,967,242,128,380,024,
765,919,813,119,714,071,683,239,960,054,267,008,847,706,539,455,772,501,631,
425,497,024,642,621,937,562,806,971,676,442,809,350,941,510,752,408,876,052,
231,574,340,410,314,771,821,245,235,298,120,506,663,652,137,046,405,640,996,
176,485,545,070,238,852,420,912,861,462,877,869,439,000,484,733,951,747,116,
600,466,379,236,207,222,650,981,908,205,602,482,468,894,034,178,597,411,048,
514,585,530,972,370,320,925,049,128,086,842,063,390,713,962,659,659,414,774,
788,988,761,754,502,668,956,609,071,028,619,862,537,886,672,184,076,176,662,
806,281,832,106,770,101,570,232,523,522,196,173,785,372,353,967,149,357,759,
347,842,436,009,881,280,157,026,294,484,594,202,014,010,113,876,076,746,675,
793,611,653,792,947,366,676,065,192,955,669,254,560,354,026,889,424,136,965,
554,881,956,240,553,622,893,009,294,992,954,935,305,334,781,619,106,122,637,
790,259,311,168,456,435,116,123,264,321,739,351,529,475,902,932,851,654,613,
556,951,563,827,240,858,844,268,812,997,251,984,759,921,638,166,099,176,567,
325,415,243,337,162,976,439,953,423,420,226,788,585,534,516,894,377,508,292,
253,215,505,014,857,339,157,323,376,586,916,313,417,646,563,388,505,884,312,
371,578,185,760,719,375,247,602,827,991,764,751,328,657,212,427,170,672,151,
376,229,884,518,648,300,407,695,231,956,755,016,966,160,666,784,807,589,039,
687,377,223,568,245,798,890,121,019,321,914,060,099,790,788,434,659,865,754,
181,188,823,471,079,972,770,849,810,642,316,581,348,590,380,409,131,779,897,
847,492,839,378,628,375,215,280,991,629,764,089,334,213,762,018,858,504,770,
412,188,139,299,041,353,793,381,683,171,272,676,979,783,887,621,878,742,036,
920,273,919,615,309,551,397,417,617,355,296,915,380,027,958,959,987,531,331,
007,383,675,285,042,550,972,535,496,533,467,865,702,025,631,995,324,558,714,
070,272,820,915,025,046,424,874,515,111,530,782,498,248,892,025,402,170,261,
018,649,308,578,807,172,479,499,958,405,423,613,946,902,832,922,913,570,796,
684,141,569,012,777,061,576,065,781,153,737,607,051,418,099,318,137,515,203,
618,779,361,029,738,892,942,266,185,117,892,305,085,064,516,381,302,263,557,
319,801,338,348,467,651,438,483,058,490,649,372,837,570,108,530,645,920,448,
269,035,272,048,448,379,700,098,785,935,144,013,029,347,443,202,760,597,532,
140,776,550,847,109,593,739,106,212,187,926,282,265,964,199,722,420,306,892,
563,356,620,011,018,229,432,820,037,852,013,451,477,464,382,604,711,680,733,
679,743,455,671,183,369,754,669,632,630,587,388,318,622,365,296,603,183,323,
264,905,389,276,249,405,413,196,197,450,566,474,116,423,100,549,362,889,895,
407,724,683,319,243,248,243,922,187,543,553,815,834,822,937,111,697,973,860,
882,945,220,761,281,751,398,643,533,175,176,144,583,925,985,073,184,406,831,
672,408,446,032,696,772,578,898,019,391,468,588,691,272,586,513,050,958,590,
172,432,518,705,733,695,381,801,749,261,961,366,733,729,361,322,114,856,819,
392,166,071,196,873,604,218,239,706,185,175,937,360,717,422,511,704,442,883,
204,447,664,259,888,496,363,215,967,637,406,312,180,478,762,783,479,449,636,
930,846,200,500,871,479,663,536,895,488,394,407,892,810,051,380,633,466,903,
621,674,493,360,516,879,182,118,786,026,844,700,060,940,294,042,819,198,353,
421,821,878,677,563,123,788,386,887,364,776,771,673,269,977,454,667,698,081,
082,397,953,510,816,187,096,903,600,060,102,922,421,026,985,577,546,758,152,
926,681,776,806,953,937,807,465,780,230,287,424,398,235,423,777,669,190,800,
614,956,228,292,710,459,565,523,679,480,468,451,315,303,715,095,123,249,276,
076,884,909,608,932,856,538,105,500,473,526,834,824,320,380,911,759,685,357,
617,754,623,043,966,956,803,431,985,883,584,966,845,684,776,719,394,539,592,
233,904,079,214,986,928,010,679,598,879,366,697,365,843,035,071,276,261,927,
524,778,489,261,740,117,126,898,455,582,846,969,280,448,467,479,056,063,941,
880,264,238,529,983,091,410,183,737,029,966,908,916,668,493,441,352,853,848,
072,243,837,326,026,906,921,349,362,294,763,949,498,176,982,034,722,974,728,
157,109,728,063,562,348,114,187,441,513,591,703,484,206,913,891,703,049,648,
956,665,003,208,103,966,471,535,463,421,862,413,318,914,683,410,043,847,254,
909,086,067,496,657,143,101,653,561,925,301,345,517,473,675,554,294,839,904,
214,442,100,121,602,795,112,976,022,595,488,112,837,055,199,135,176,213,799,
425,756,892,782,327,493,461,198,915,637,898,261,796,461,276,672,280,256,393,
055,780,901,154,755,981,356,199,195,655,071,303,965,222,830,118,083,542,109,
484,549,902,468,965,274,925,138,813,265,478,906,330,635,445,272,141,673,487,
676,045,911,293,715,905,828,674,605,600,539,558,022,634,025,040,440,367,180,
710,339,201,865,383,304,179,365,895,087,157,722,528,110,754,844,210,503,644,
159,221,159,729,070,973,821,102,245,059,245,873,424,396,794,022,831,515,523,
716,598,508,328,699,613,169,978,602,867,019,048,977,212,871,998,968,141,435,
409,276,597,133,187,639,229,500,119,065,989,554,831,053,689,972,962,419,575,
241,570,032,675,946,278,360,518,984,916,412,995,473,068,997,116,200,348,775,
191,612,780,105,068,448,182,480,998,512,876,278,426,298,970,739,044,099,028,
029,656,821,025,625,345,682,865,436,383,911,953,659,710,979,009,166,763,236,
498,393,862,708,117,439,730,519,800,377,479,158,880,280,315,669,173,976,334,
807,780,837,267,352,884,370,308,134,321,934,905,170,560,705,660,904,288,182,
323,468,289,844,624,255,125,820,621,618,780,509,528,454,871,268,218,230,102,
685,930,715,064,061,253,230,043,593,013,092,423,874,172,319,104,770,782,468,
182,077,246,467,903,222,080,407,967,262,427,304,832,158,581,065,913,525,856,
477,748,776,991,401,994,286,748,882,039,481,833,685,360,973,319,969,142,282,
462,217,111,204,410,870,001,719,987,700,756,910,247,374,534,441,274,984,994,
482,768,009,525,253,927,319,959,790,481,553,749,102,277,925,693,434,468,527,
463,920,679,999,560,578,737,794,061,795,268,667,815,871,191,860,561,981,255,
098,032,304,853,162,550,811,698,764,001,221,681,999,114,243,057,729,595,981,
505,063,244,035,987,589,135,297,606,566,220,693,683,587,712,823,488,941,633,
824,751,659,048,689,431,893,822,476,942,918,241,115,258,292,933,069,585,704,
488,608,507,322,890,199,100,385,088,487,374,290,722,877,997,819,020,612,931,
217,584,072,330,721,460,881,430,268,456,540,161,726,003,662,199,606,108,482,
855,650,221,509,143,697,972,812,164,878,203,454,852,585,686,924,703,424,437,
751,339,107,441,038,168,660,913,954,469,118,164,949,180,224,769,559,331,371,
522,493,691,076,933,501,107,589,520,850,700,680,869,826,989,435,230,288,566,
986,650,576,727,483,622,013,968,466,828,345,703,007,150,902,855,354,006,346,
395,289,087,933,178,785,122,141,123,845,535,806,355,395,710,276,973,265,477,
902,630,392,493,943,836,191,195,795,093,964,270,081,317,164,548,818,127,962,
521,449,948,961,191,377,017,009,663,467,526,416,589,044,777,870,349,310,964,
272,556,565,219,364,735,315,481,440,827,047,346,018,856,810,874,160,475,294,
542,480,468,445,661,749,019,130,475,161,670,565,217,224,083,191,636,518,481,
111,698,393,680,661,311,394,314,271,273,602,479,651,091,754,077,865,821,716,
110,433,267,308,552,000,959,184,298,282,980,429,683,849,255,947,652,762,697,
193,330,891,733,837,969,029,659,981,298,457,502,192,098,645,126,561,624,884,
491,962,222,426,752,536,031,782,693,223,498,789,368,823,915,661,899,547,766,
568,489,004,377,308,141,484,351,643,992,577,137,318,532,088,604,786,671,804,
725,703,806,268,564,224,708,044,882,669,649,318,531,815,236,628,696,824,738,
152,330,507,897,930,395,201,957,734,281,641,333,735,914,142,907,398,448,749,
757,393,446,297,037,977,527,625,383,108,016,503,184,979,509,344,599,460,332,
375,672,105,547,058,403,564,265,263,764,486,330,228,904,372,409,209,232,187,
075,599,569,957,469,357,002,569,238,629,070,678,529,550,046,515,435,163,273,
073,809,612,059,104,388,584,487,346,819,139,138,636,734,496,171,475,813,056,
601,928,012,226,993,978,348,211,462,006,747,935,090,462,135,940,025,240,227,
508,878,835,613,068,958,539,106,459,326,139,563,730,386,623,766,869,973,422,
368,842,571,216,514,741,843,718,392,810,859,317,436,526,302,382,319,730,022,
216,773,309,684,822,966,939,288,533,424,401,793,287,239,241,834,673,845,271,
541,148,636,376,586,565,364,378,347,170,562,616,048,423,716,418,039,557,591,
462,312,204,338,165,915,081,638,282,383,633,328,957,084,979,538,368,798,968,
138,089,718,329,489,517,230,377,506,192,242,659,803,829,844,902,244,326,809,
197,010,773,487,308,857,704,547,470,500,934,418,440,835,292,413,688,458,674,
069,639,187,257,883,848,326,712,872,206,986,976,990,830,870,744,322,410,212,
360,017,518,497,892,954,507,290,932,127,330,230,354,351,152,429,634,266,169,
022,439,386,262,390,448,136,298,607,393,435,556,475,700,401,935,609,998,601,
087,460,825,767,654,890,608,961,981,806,021,776,267,606,811,996,808,735,197,
752,798,922,670,930,355,855,739,924,308,081,952,402,881,984,936,463,006,475,
909,033,846,752,302,614,559,189,643,581,112,501,737,097,186,129,656,615,240,
259,429,536,218,618,732,971,833,069,921,201,577,759,677,330,235,250,359,943,
081,004,421,438,271,189,140,997,625,313,728,403,937,890,088,286,998,353,364,
554,198,093,568,162,751,728,866,830,734,213,724,610,895,875,263,833,395,310,
166,082,812,949,822,451,975,550,452,250,198,673,932,466,228,022,216,811,101,
962,609,821,144,913,928,660,325,014,339,868,550,177,988,360,586,673,830,137,
566,928,849,328,317,990,629,132,702,512,918,254,673,391,067,800,980,396,202,
486,726,138,839,197,211,597,755,071,419,575,128,363,044,132,947,065,836,525,
091,459,784,682,454,968,097,964,416,699,794,554,209,337,774,437,987,965,061,
369,155,755,786,544,310,182,761,834,927,496,381,409,412,462,211,651,593,858,
757,723,241,773,384,738,263,214,530,000,364,871,424,514,730,707,868,581,942,
743,096,020,141,132,071,040,136,478,894,524,413,095,121,289,401,019,015,332,
644,884,360,790,305,184,162,274,043,546,958,433,652,457,058,543,845,355,862,
720,330,645,056,153,518,030,276,253,489,166,152,403,047,343,632,679,938,655,
805,060,931,444,758,377,414,221,555,588,349,948,043,486,966,666,142,008,796,
211,761,842,926,434,553,329,843,446,250,508,169,937,558,736,072,397,365,701,
051,196,705,007,212,385,636,851,257,165,758,973,518,840,542,658,085,594,969,
631,834,633,695,507,566,264,512,251,258,730,326,356,632,450,172,429,346,218,
827,263,878,190,797,233,266,976,365,590,849,562,928,850,802,111,400,261,237,
553,297,340,799,665,564,362,901,808,711,925,882,109,066,737,673,250,035,751,
381,465,682,366,837,849,702,507,479,557,943,038,677,615,398,974,552,026,805,
882,211,882,524,685,651,781,224,595,074,986,128,640,543,576,034,014,790,464,
642,523,467,691,508,409,299,952,298,529,970,663,878,561,464,914,108,428,331,
897,249,481,937,483,348,953,714,256,817,338,419,441,882,754,923,654,896,565,
924,334,705,619,080,503,071,714,718,618,228,881,773,835,580,610,101,578,651,
182,642,631,727,731,821,272,222,324,896,825,052,058,539,740,329,289,769,693,
964,252,450,537,610,726,602,396,043,751,859,102,278,657,052,944,458,401,476,
759,117,509,322,655,628,981,084,356,729,199,275,842,224,279,811,479,688,412,
081,572,442,044,764,036,602,145,006,496,437,437,090,435,270,779,695,147,314,
252,356,773,546,533,402,002,909,767,261,536,447,581,466,043,964,368,062,435,
388,532,222,859,647,320,827,569,454,282,270,927,549,750,222,783,026,833,756,
775,882,099,701,787,190,744,416,673,279,137,752,906,655,654,613,761,714,079,
350,002,400,316,456,704,119,349,073,644,168,685,880,220,927,593,111,465,403,
778,041,028,820,386,272,008,202,657,903,312,833,080,233,002,064,736,549,922,
091,932,507,911,923,310,607,376,326,272,377,328,969,732,947,001,415,194,883,
602,284,097,844,759,695,005,708,326,249,511,163,970,157,842,380,734,349,759,
273,332,420,610,498,168,099,355,742,766,413,312,765,907,008,674,191,474,546,
347,191,859,061,505,069,159,497,660,759,260,897,837,871,055,283,624,913,056,
548,925,535,724,220,697,817,852,675,409,264,087,372,312,921,615,250,592,790,
088,086,139,462,785,316,910,609,519,227,622,698,784,846,139,481,215,820,525,
587,544,191,497,292,565,391,334,480,546,816,032,185,920,441,868,887,190,918,
516,218,078,468,681,138,890,850,475,664,809,689,860,550,803,720,364,943,437,
884,187,992,651,754,257,625,871,553,886,203,961,967,481,808,284,294,721,989,
605,977,116,304,173,937,124,113,305,712,523,002,719,936,486,639,762,134,912,
588,705,419,321,883,334,070,804,228,747,033,037,972,839,515,442,161,726,097,
073,719,288,903,926,505,136,721,993,039,067,816,808,678,901,542,213,948,707,
943,266,237,760,010,649,947,536,862,147,976,064,116,824,699,685,316,637,775,
151,719,925,788,301,231,562,435,800,710,510,758,444,267,755,627,195,272,412,
055,954,481,520,134,614,598,298,770,128,084,062,443,391,642,127,958,697,072,
423,084,793,489,883,476,033,287,452,872,106,110,717,055,723,924,756,746,436,
161,681,816,873,673,693,217,350,432,064,838,657,512,613,369,574,563,078,752,
744,760,347,585,492,536,282,425,094,360,818,835,365,061,201,995,451,795,709,
515,784,663,094,878,205,734,919,241,190,873,709,890,755,486,757,673,637,831,
204,421,120,570,693,784,376,173,063,202,520,571,597,152,537,586,637,097,424,
169,693,195,033,032,777,413,934,159,844,057,761,957,882,035,094,073,667,783,
952,944,487,321,594,588,336,363,190,842,381,087,322,929,412,255,149,717,667,
618,920,443,437,352,577,619,433,244,432,766,528,505,035,299,228,574,858,886,
288,227,614,144,593,986,197,023,043,053,884,726,690,493,185,183,460,614,208,
096,196,845,670,666,858,318,408,679,579,657,439,985,273,633,386,952,317,061,
926,222,479,421,262,714,820,100,968,141,789,966,415,144,171,692,688,148,669,
935,350,827,146,214,920,308,589,967,629,663,479,100,642,278,044,099,111,942,
224,257,925,369,401,842,991,578,657,686,319,509,316,008,129,020,640,641,543,
734,383,184,247,248,165,058,729,596,045,290,076,657,881,556,794,037,723,655,
961,474,569,330,739,947,263,231,441,204,955,954,933,147,799,551,167,903,105,
938,701,531,374,548,063,465,077,934,926,923,498,949,271,735,770,305,833,732,
008,725,774,625,470,622,802,482,031,899,164,615,314,006,244,859,118,344,621,
171,244,725,334,966,805,273,805,284,434,794,925,430,144,096,663,883,363,262,
124,663,615,479,338,688,088,238,981,507,700,841,932,198,219,939,485,828,224,
347,282,120,965,164,704,241,032,871,643,853,626,351,888,287,992,605,685,828,
966,406,179,842,994,980,103,462,142,291,691,797,894,756,180,475,969,735,528,
735,205,945,464,871,129,854,408,099,330,979,860,329,298,809,627,207,937,683,
268,386,940,394,396,412,570,367,858,328,171,306,531,591,381,004,708,653,220,
151,474,947,847,273,289,795,835,872,213,281,637,500,087,841,431,399,812,389,
952,116,154,957,217,355,430,143,122,252,594,467,207,867,757,248,047,843,984,
896,965,583,782,929,235,674,116,028,812,567,063,069,321,955,011,371,672,234,
346,081,688,421,595,857,525,989,323,943,977,318,793,873,745,225,698,400,735,
126,571,746,886,794,316,992,418,457,372,054,217,597,838,047,052,833,592,456,
878,723,572,255,472,725,287,215,233,680,342,685,479,065,022,919,091,957,557,
692,190,645,949,000,051,167,509,742,108,247,346,289,822,765,918,065,892,083,
708,240,611,660,767,457,657,259,851,258,907,335,565,315,473,112,355,527,500,
553,862,961,592,285,452,160,177,023,478,987,673,036,227,151,357,588,343,557,
718,515,354,099,978,310,452,929,379,868,732,375,093,551,241,064,364,729,637,
958,519,103,839,761,205,322,897,678,049,077,093,397,909,492,823,762,000,490,
737,577,919,081,598,741,844,019,282,479,063,901,888,085,290,401,384,697,889,
115,515,985,197,676,606,731,754,581,716,982,294,291,440,045,136,772,051,763,
948,185,532,751,944,248,181,922,700,203,939,147,416,237,629,114,226,293,810,
797,756,935,284,470,794,135,169,841,566,422,756,023,704,797,167,404,152,823,
843,599,843,673,361,676,860,129,500,876,274,652,682,456,365,568,714,038,069,
119,846,521,570,845,240,483,426,376,148,741,606,522,019,153,830,682,438,552,
743,521,264,129,072,789,243,981,453,765,329,155,670,046,953,585,375,507,754,
556,105,321,206,928,686,508,186,620,926,980,989,604,705,079,721,147,202,236,
330,138,075,066,593,475,331,853,694,933,479,904,553,645,503,332,539,910,501,
664,687,522,579,881,676,356,516,433,882,904,277,575,364,429,835,220,224,336,
632,358,586,510,448,122,696,062,905,871,911,660,774,410,560,358,627,690,412,
723,185,210,435,119,655,546,903,938,001,644,358,278,422,581,450,068,608,006,
720,566,329,801,906,501,072,286,396,789,302,872,602,328,698,855,000,671,425,
676,311,436,258,856,480,886,581,117,918,967,134,239,296,635,110,351,174,651,
469,122,153,763,156,406,231,870,578,945,468,550,173,160,036,090,864,266,473,
554,328,319,215,519,597,419,564,898,892,793,695,015,172,201,095,929,731,090,
251,261,841,802,142,485,592,871,959,218,272,877,180,533,041,941,084,208,774,
440,680,048,093,354,561,238,178,860,863,304,482,597,953,168,350,235,798,429,
537,840,841,710,745,509,242,905,069,066,352,203,777,738,577,960,610,605,275,
971,718,904,388,914,098,187,944,771,607,303,233,436,789,471,605,882,258,979,
324,390,822,185,732,956,085,580,185,640,678,447,702,312,291,462,846,892,499,
534,972,362,069,742,722,568,534,807,444,558,433,350,219,878,664,484,906,064,
610,923,355,011,232,737,569,870,648,432,841,968,222,021,330,252,522,626,139,
122,212,266,621,157,716,841,307,515,510,012,663,891,078,226,352,057,836,343,
179,125,782,441,959,113,565,170,472,631,661,112,893,471,248,492,538,919,438,
210,753,032,099,856,902,365,092,459,524,534,459,817,544,317,547,194,496,433,
861,832,339,905,580,237,703,831,518,375,781,778,008,512,643,000,434,961,946,
166,029,728,453,986,671,814,750,112,842,615,242,663,355,641,904,206,380,382,
126,771,007,589,879,371,473,065,159,496,810,426,806,015,285,434,750,358,560,
570,288,636,788,254,886,747,581,601,763,355,786,134,719,388,442,701,640,229,
238,819,964,433,542,647,636,840,007,083,509,551,679,524,898,664,492,104,975,
581,158,251,799,223,910,353,461,467,263,583,015,321,526,809,763,556,095,445,
307,169,673,258,836,271,559,310,590,010,784,325,505,225,852,519,980,504,722,
736,355,144,086,795,098,824,190,816,104,923,331,396,593,625,905,107,462,690,
473,482,616,713,789,519,519,584,422,708,221,561,804,398,180,602,546,764,561,
573,514,987,752,843,218,029,213,549,297,310,095,295,151,718,590,466,871,460,
959,581,343,781,862,258,918,431,243,360,079,795,733,379,317,081,291,575,027,
933,166,977,969,880,646,287,843,389,538,810,925,479,927,913,674,875,697,171,
697,203,656,735,574,416,866,881,029,560,084,600,281,680,728,845,899,910,631,
604,587,856,626,616,723,366,565,244,340,380,796,683,183,955,472,212,925,063,
324,756,598,621,943,536,701,532,049,924,298,434,703,324,645,232,214,698,080,
712,607,828,848,195,011,930,566,603,659,785,317,018,892,577,645,438,551,428,
963,894,221,880,993,651,879,162,148,309,001,588,124,428,576,250,240,052,086,
927,867,409,815,239,142,970,903,191,594,831,799,142,500,804,230,033,513,918,
211,816,786,146,578,680,541,151,147,346,426,161,661,656,352,868,309,926,398,
924,423,604,517,977,488,459,126,618,998,235,786,122,830,857,823,090,896,745,
636,334,443,663,678,357,526,178,517,174,671,952,350,391,468,149,368,335,649,
108,813,896,100,317,063,444,562,545,197,100,798,268,790,821,731,384,066,263,
628,122,396,837,396,379,634,432,640,954,616,466,282,023,667,317,977,236,334,
023,217,326,996,801,291,685,026,243,658,036,110,207,822,095,839,396,774,249,
885,152,761,621,757,398,840,215,985,528,143,492,752,150,895,371,456,778,198,
858,972,232,747,626,931,453,647,875,317,522,351,843,193,978,421,597,986,146,
864,170,896,164,979,678,832,671,191,765,883,415,111,694,858,775,857,620,638,
283,756,804,875,047,679,556,580,948,334,423,222,712,355,472,184,187,173,575,
080,300,980,229,247,904,245,964,586,717,032,312,645,995,595,119,315,582,190,
644,234,379,417,598,815,153,043,023,516,239,655,296,904,092,190,080,218,652,
512,107,410,018,465,882,512,588,869,802,220,689,922,742,126,062,518,188,444,
495,003,146,993,573,248,417,568,393,481,350,191,976,427,301,593,775,146,539,
350,139,665,788,967,438,976,046,935,282,274,272,990,898,773,325,637,200,127,
589,946,198,915,139,259,797,178,284,010,224,339,552,657,861,034,705,117,225,
805,560,457,575,410,433,290,508,899,794,863,188,921,037,503,033,060,003,517,
163,969,476,414,901,914,333,314,217,780,970,755,591,998,782,795,390,000,386,
662,003,688,936,724,600,434,403,259,164,453,999,078,583,758,896,165,669,054,
364,504,405,950,859,982,536,369,487,969,196,151,022,419,787,327,809,175,441,
485,077,321,951,655,532,128,029,326,167,919,056,993,824,017,032,478,739,313,
547,579,413,908,069,623,408,893,753,807,774,363,913,583,943,791,268,771,334,
373,569,264,648,057,976,452,331,630,028,958,557,464,181,883,514,925,100,586,
689,590,266,535,238,810,295,875,633,571,308,250,762,712,967,575,344,874,161,
457,110,870,205,256,180,364,654,272,451,170,342,655,070,696,942,471,030,764,
288,237,780,788,279,387,281,037,764,945,012,175,505,273,300,179,245,071,536,
054,522,695,500,350,673,120,348,128,996,493,803,704,272,467,395,434,325,051,
284,115,411,306,224,219,484,287,589,358,576,248,489,625,195,540,096,694,028,
205,317,127,664,273,987,987,577,590,568,357,107,881,737,861,831,520,206,429,
449,542,783,238,162,936,213,441,025,365,829,653,714,791,039,692,455,597,508,
889,254,324,432,124,398,260,337,414,344,549,054,213,226,239,219,943,520,663,
752,077,544,232,231,511,086,151,016,733,241,906,687,288,171,639,616,510,001,
205,090,105,619,142,487,521,713,962,479,143,988,513,423,149,983,286,867,339,
362,460,426,054,351,441,663,775,270,091,455,739,850,698,566,156,887,558,596,
639,358,220,573,343,066,201,441,189,848,527,968,783,435,606,134,984,457,597,
803,276,353,970,858,568,125,555,848,392,449,141,934,165,041,425,821,707,647,
799,032,144,816,747,820,776,280,200,668,186,396,504,604,558,495,345,942,773,
028,121,564,999,843,523,054,472,573,409,423,696,951,391,685,270,311,654,826,
264,781,796,889,965,165,600,602,317,994,760,084,013,594,476,666,416,245,718,
723,661,058,582,794,597,284,237,288,026,927,646,276,600,902,766,169,096,074,
329,469,144,290,510,901,247,976,587,263,819,379,128,471,099,275,745,209,775,
453,496,838,156,882,553,629,341,508,552,675,079,749,688,257,533,864,625,318,
615,535,327,846,062,760,526,371,549,997,242,163,368,200,431,772,994,085,150,
721,184,819,535,661,215,282,241,152,792,739,581,178,002,406,476,770,100,636,
098,409,784,627,734,473,627,641,189,782,611,298,486,381,386,348,724,222,959,
875,275,660,488,517,311,455,553,671,168,430,531,964,524,684,969,530,562,235,
189,930,808,070,390,977,322,638,335,614,734,305,010,304,445,469,412,313,287,
143,074,458,426,474,530,344,199,213,043,987,923,199,958,197,168,983,420,868,
870,088,078,036,870,027,593,191,528,660,445,624,417,686,604,067,246,021,210,
577,960,094,689,780,804,237,929,585,469,554,272,964,301,744,213,100,793,129,
904,314,412,676,804,886,453,058,228,298,027,090,559,493,077,276,428,945,761,
421,133,047,756,677,621,424,178,531,641,390,634,539,842,826,175,086,443,411,
307,333,495,088,745,692,037,614,003,337,191,165,263,663,861,416,288,721,685,
291,660,171,677,616,753,923,490,781,420,854,629,241,623,826,837,521,855,244,
970,989,655,546,664,507,977,146,370,485,186,145,183,364,804,524,319,985,053,
865,069,325,193,733,422,015,641,856,956,306,672,828,711,091,378,646,109,069,
407,258,135,779,509,478,908,741,579,935,251,036,803,748,995,932,251,786,447,
839,989,231,835,992,778,972,035,222,339,462,814,687,889,011,326,377,502,755,
125,693,711,246,017,568,735,237,829,409,403,765,344,188,636,356,881,130,323,
597,039,667,875,951,388,134,473,281,383,438,949,430,807,312,670,128,509,866,
960,662,313,458,985,013,967,034,137,812,951,399,403,621,818,261,339,700,198,
911,538,991,777,543,072,356,323,607,230,089,805,727,691,170,635,734,117,313,
832,061,835,264,709,795,360,631,220,209,104,669,314,265,075,327,205,334,209,
442,722,498,525,961,448,441,004,722,124,901,470,762,731,163,058,487,237,655,
850,971,574,192,716,582,549,940,271,560,818,655,027,095,869,892,565,772,988,
413,814,374,788,121,902,723,750,427,016,117,635,932,775,673,457,741,241,754,
015,304,148,403,074,808,102,596,053,873,319,105,113,475,968,544,834,472,754,
280,579,169,646,784,817,621,797,129,908,304,106,761,772,337,657,544,920,185,
644,774,305,619,425,496,229,568,050,165,534,768,955,643,555,857,907,824,391,
149,079,541,364,973,336,881,727,798,290,775,690,458,879,636,252,164,249,381,
459,471,609,695,842,883,576,879,987,876,760,013,175,515,596,880,559,643,783,
139,245,829,224,834,816,375,264,826,162,815,916,239,932,621,855,830,348,257,
006,759,099,980,746,357,084,916,791,779,007,245,887,492,803,270,530,324,299,
193,940,989,367,862,090,674,146,186,991,600,326,591,577,443,801,975,647,239,
274,941,871,478,583,054,108,725,611,168,318,372,083,891,762,010,372,317,512,
249,222,776,637,702,756,226,755,363,498,194,496,195,010,878,915,736,225,536,
202,182,863,284,343,392,282,773,804,462,317,617,319,637,151,478,160,438,868,
272,415,950,713,683,514,257,100,871,999,932,822,243,895,776,039,475,863,899,
190,398,441,768,412,156,845,235,090,471,789,476,789,927,664,818,832,082,263,
658,244,372,592,888,343,787,849,992,586,245,633,684,535,745,410,871,287,641,
035,335,679,825,778,060,032,599,424,117,143,128,434,492,386,760,924,948,459,
272,396,104,624,337,516,948,809,429,434,789,231,346,816,032,486,793,501,635,
674,705,597,137,446,949,558,170,091,918,334,807,083,200,973,685,475,606,540,
829,194,537,022,816,730,107,540,152,976,100,054,317,859,520,745,912,381,159,
320,678,564,006,644,964,387,124,449,555,586,334,281,273,174,027,764,169,020,
298,804,614,463,858,614,246,936,363,567,572,937,758,265,389,064,551,498,439,
975,801,939,308,382,376,148,473,020,393,088,860,827,143,681,708,361,577,017,
275,607,118,846,402,917,215,978,596,447,169,161,133,095,206,204,067,185,747,
300,705,648,564,594,996,863,091,371,902,722,773,362,666,025,249,705,071,067,
248,809,175,628,181,415,389,794,641,639,898,216,313,171,722,275,418,304,217,
251,253,688,199,854,258,257,334,122,656,864,805,332,601,164,758,392,241,374,
933,688,290,280,375,670,374,974,894,881,075,251,898,420,427,320,740,520,006,
830,097,564,589,087,309,531,685,241,030,085,837,126,755,592,653,010,301,652,
530,273,016,295,938,578,403,022,922,676,486,693,216,857,946,917,253,259,467,
250,481,639,956,389,862,994,406,570,803,563,623,053,558,983,649,690,608,972,
941,815,847,235,860,491,586,612,705,895,618,547,728,346,874,852,812,129,592,
990,960,434,796,522,556,909,495,619,152,102,260,845,354,228,140,144,565,525,
299,821,553,931,361,615,724,412,618,231,653,606,222,923,717,566,614,939,396,
780,640,777,772,166,009,595,478,146,617,566,780,772,429,293,489,291,630,535,
969,544,010,384,214,289,818,858,203,989,916,476,732,683,438,045,546,734,122,
554,806,204,371,001,773,162,329,493,383,521,748,956,451,835,001,854,146,846,
375,002,115,936,737,654,403,959,238,603,446,005,300,321,994,829,693,695,120,
715,700,414,107,926,048,638,690,159,185,170,665,185,626,549,297,847,923,453,
709,629,749,660,472,302,123,308,186,076,724,022,350,059,821,944,119,110,470,
287,175,449,657,119,153,420,777,425,697,434,960,128,891,259,011,779,825,034,
659,782,697,044,977,985,973,684,108,686,112,533,518,975,420,589,455,499,305,
016,021,849,678,249,885,434,194,132,237,796,822,320,936,714,335,165,719,573,
866,343,080,642,772,140,470,991,349,397,061,933,758,611,596,311,675,284,097,
614,672,685,866,573,633,509,017,965,191,704,108,011,576,819,663,376,408,037,
661,903,252,274,221,508,228,495,622,217,883,239,290,419,651,352,862,568,447,
383,264,669,883,389,655,118,387,562,103,808,303,309,858,982,011,124,465,019,
634,138,817,510,094,727,477,675,588,983,596,205,698,664,309,963,061,882,986,
397,083,888,389,488,990,268,910,341,552,769,743,614,917,925,135,696,760,442,
566,843,605,562,025,779,948,871,532,545,151,279,863,383,770,993,625,776,150,
845,213,095,858,986,212,453,385,465,989,580,150,380,203,023,457,633,953,723,
055,665,184,097,593,227,345,966,457,743,714,479,928,653,318,612,884,654,416,
679,009,470,999,799,274,983,730,156,205,263,706,273,677,106,672,538,953,247,
892,103,153,927,744,037,853,864,814,536,182,869,261,707,720,887,204,544,146,
277,329,826,234,231,391,985,567,070,882,266,477,826,157,810,953,751,203,632,
214,832,960,388,878,823,701,957,327,996,832,544,346,916,973,619,736,254,209,
822,844,517,648,249,268,065,230,738,518,878,670,805,255,899,026,867,610,722,
084,419,427,451,212,935,174,256,560,977,762,433,820,272,799,889,886,260,157,
938,823,176,363,566,825,513,572,706,792,831,711,761,325,198,404,096,089,704,
018,927,230,974,672,502,116,528,059,148,153,560,883,862,577,174,127,325,526,
655,616,665,292,437,031,105,935,153,863,635,910,023,940,817,934,427,121,415,
106,816,513,962,996,727,186,884,978,831,656,695,412,650,863,102,425,352,873,
825,207,532,920,292,095,871,998,288,908,542,795,529,545,274,830,463,947,545,
948,309,898,071,534,144,374,730,815,238,274,306,928,075,096,306,674,315,852,
854,436,110,685,748,852,297,319,207,343,870,853,232,879,805,219,338,303,854,
518,523,594,236,927,688,440,368,657,180,330,443,711,926,062,071,511,480,290,
392,302,450,470,624,413,055,187,728,981,728,748,655,785,626,460,018,398,629,
249,359,841,582,102,603,990,531,980,505,129,781,365,883,937,770,768,396,609,
717,064,295,617,112,068,345,813,448,453,223,213,651,361,873,650,826,955,886,
941,167,313,098,867,127,306,725,179,558,053,357,170,755,756,243,697,647,683,
371,687,970,458,796,439,899,012,306,460,220,265,164,977,121,826,699,380,750,
778,758,819,847,697,793,742,006,872,944,782,931,998,856,856,684,607,558,475,
477,972,250,323,051,786,758,160,375,447,050,596,399,551,959,246,414,590,507,
954,781,940,940,073,490,872,409,009,848,133,698,263,352,338,414,049,018,216,
173,107,586,462,119,137,627,166,873,452,812,999,829,824,454,605,283,918,721,
607,959,246,690,601,426,965,387,207,141,536,321,049,971,381,214,263,596,143,
551,839,393,106,455,254,579,059,883,788,514,035,137,404,578,658,457,320,988,
238,400,789,221,326,478,816,033,891,370,548,270,084,649,779,039,949,433,347,
803,552,845,892,977,260,655,265,231,911,338,673,068,673,559,693,077,595,024,
483,880,680,265,308,914,339,437,410,793,566,877,552,804,127,367,445,253,123,
054,791,359,987,995,496,254,165,523,757,835,604,985,971,236,958,109,457,202,
614,808,820,820,194,038,514,442,170,039,799,333,409,016,203,403,740,043,250,
463,921,420,877,360,677,172,979,707,997,131,843,042,668,811,451,515,378,385,
229,236,831,211,518,476,248,940,270,144,106,479,621,476,156,041,477,130,120,
516,990,581,956,140,730,851,862,953,237,953,884,943,269,408,912,981,248,472,
871,027,662,168,237,297,911,001,880,039,191,553,318,014,391,897,808,687,850,
976,505,201,045,023,570,474,163,221,888,705,748,784,965,211,904,233,670,223,
648,252,329,148,534,934,413,742,752,442,723,046,159,993,032,408,257,171,867,
551,807,687,135,452,599,490,368,023,526,779,353,817,158,332,609,503,930,162,
312,286,379,332,488,635,623,561,359,360,432,891,726,332,859,069,136,009,525,
456,984,481,861,829,647,676,797,170,968,570,184,882,065,364,448,481,981,213,
332,719,323,407,683,512,279,269,880,191,001,719,146,454,763,797,071,773,257,
967,846,861,401,444,178,265,493,847,695,516,860,307,135,095,766,367,884,461,
017,470,611,235,423,131,713,300,501,460,827,405,762,581,797,386,938,827,217,
436,883,832,090,308,023,714,018,502,429,324,012,853,206,324,082,609,242,356,
290,589,020,080,862,176,107,117,913,468,102,099,653,773,565,137,607,650,853,
077,909,140,733,585,961,352,607,710,060,541,865,000,124,176,841,408,062,139,
029,686,114,985,990,564,502,047,887,025,601,095,291,898,553,092,944,036,390,
478,586,944,389,460,037,999,621,956,177,996,642,903,244,076,300,470,606,888,
259,400,128,369,409,938,445,566,099,717,750,213,097,030,244,424,055,103,310,
781,610,827,452,369,715,322,961,025,535,585,206,834,806,739,313,430,170,119,
401,680,717,957,001,366,308,876,925,800,736,762,059,728,585,191,457,965,698,
094,229,923,280,564,209,978,859,966,673,446,277,110,470,292,525,175,147,677,
770,231,132,229,190,459,668,509,487,230,748,594,809,945,950,197,481,040,940,
455,988,875,334,429,808,435,932,923,912,962,479,452,336,624,590,083,726,946,
227,158,694,668,189,008,550,006,145,147,381,005,155,958,977,919,988,149,517,
225,378,501,733,305,041,159,038,250,112,772,230,060,720,711,947,425,794,730,
703,176,240,768,098,034,345,360,350,048,251,389,456,817,510,570,637,770,501,
789,444,182,715,524,826,987,535,251,135,910,229,474,941,904,947,628,244,633,
300,991,087,607,304,355,917,714,972,471,398,935,016,018,154,909,180,207,975,
519,547,189,517,740,786,885,385,045,833,365,457,926,993,264,725,104,500,112,
937,451,249,944,579,794,642,355,057,274,258,373,042,704,480,334,016,610,012,
389,681,146,206,773,903,079,317,624,200,837,028,822,312,070,851,047,274,246,
217,352,375,906,334,909,032,885,785,049,267,655,817,588,715,960,470,466,636,
499,087,182,170,240,101,447,926,241,174,484,070,094,425,220,958,936,761,261,
173,879,267,826,243,015,130,745,839,027,474,346,770,177,334,118,078,718,060,
789,026,304,071,790,762,170,883,209,856,471,082,782,910,563,054,430,165,432,
509,506,305,791,954,890,314,639,231,381,900,737,024,767,824,023,432,809,744,
344,359,487,137,424,926,194,571,039,099,629,227,678,586,939,403,641,239,736,
938,381,473,145,463,486,944,369,435,217,683,119,146,396,085,838,566,350,031,
122,695,431,892,719,602,317,498,352,558,578,389,903,592,225,208,483,746,744,
644,152,180,580,492,756,513,257,336,486,013,262,785,449,595,025,117,639,755,
757,366,033,934,941,511,257,604,905,095,754,893,559,309,716,211,123,663,303,
435,490,171,793,191,898,106,881,375,650,571,239,973,571,864,123,956,363,815,
787,812,786,088,015,711,941,297,014,341,044,291,154,244,465,069,240,697,121,
172,433,037,710,059,241,639,898,593,369,277,451,238,773,184,242,475,655,079,
316,429,536,456,216,622,550,177,560,157,270,859,080,650,223,264,927,075,007,
760,092,588,657,152,870,858,387,660,229,389,208,017,068,366,317,587,896,341,
724,450,939,391,664,856,832,588,956,106,335,645,615,112,688,212,408,019,718,
724,716,760,662,873,143,856,111,718,933,427,898,537,722,414,542,703,533,299,
667,260,281,124,393,316,756,436,226,032,400,466,499,281,119,834,916,830,349,
703,669,933,698,508,095,421,182,130,423,065,161,838,882,867,970,446,967,672,
066,210,013,959,338,137,897,426,270,241,978,414,761,291,378,629,764,133,106,
178,407,108,718,986,400,655,029,560,141,149,764,402,580,993,836,050,341,821,
299,390,327,884,533,568,888,848,636,001,475,071,680,099,716,677,008,665,193,
326,975,250,921,511,689,955,294,897,167,657,863,318,107,239,641,305,181,154,
413,554,161,743,216,502,452,112,334,796,720,395,181,379,449,085,429,059,731,
733,208,606,240,871,432,280,337,288,412,552,927,588,153,298,223,395,918,542,
646,571,844,473,482,351,641,814,099,740,034,077,940,402,000,449,149,645,710,
014,860,064,786,139,477,425,392,130,725,559,389,872,623,668,291,763,643,004,
191,803,063,987,682,874,710,015,440,699,987,793,533,147,509,089,298,231,473,
525,371,359,202,856,398,786,308,897,877,738,859,205,857,390,575,003,957,941,
427,415,208,452,323,322,612,219,112,386,073,829,648,360,431,426,689,785,517,
700,735,195,782,041,241,527,748,560,372,004,198,147,356,945,135,535,730,549,
998,037,212,707,573,684,251,696,622,659,226,250,725,850,397,429,470,728,810,
721,560,235,910,756,365,138,691,672,800,400,513,890,286,216,848,825,073,534,
692,384,060,299,295,774,699,014,580,230,975,032,668,693,151,259,552,521,840,
511,053,918,772,880,552,570,469,301,601,556,272,706,095,424,390,618,755,370,
788,213,945,828,010,096,129,350,141,305,654,107,038,147,187,747,793,362,473,
881,857,239,502,422,530,090,217,011,235,338,692,463,190,776,633,596,579,436,
587,982,840,993,411,474,702,912,330,437,282,235,499,074,785,717,736,960,688,
133,092,417,271,136,550,906,014,670,749,976,624,260,063,975,736,780,920,553,
545,068,928,635,752,182,230,967,611,576,895,079,762,930,934,656,373,356,419,
712,932,650,029,689,416,555,300,495,680,662,298,682,461,190,847,734,882,083,
882,520,504,407,233,796,758,330,276,621,137,357,348,374,501,024,801,366,091,
173,969,666,827,950,826,376,035,495,728,459,919,564,893,031,169,844,038,877,
947,692,616,632,152,714,089,358,710,217,537,819,145,726,943,633,018,936,227,
501,820,192,974,247,086,318,306,130,159,890,357,375,348,052,526,494,526,938,
527,113,046,839,856,702,377,911,037,383,979,698,452,315,549,637,442,435,824,
118,591,279,440,580,155,769,080,042,410,162,433,682,641,096,115,429,862,473,
937,708,146,296,098,471,830,257,992,743,011,127,000,417,337,658,000,283,343,
743,407,783,198,959,316,238,157,239,790,940,907,139,788,505,479,714,710,786,
433,223,563,928,190,150,916,232,412,004,587,808,277,002,389,501,097,282,781,
104,197,620,348,072,902,240,742,532,288,483,996,568,018,451,832,057,518,678,
694,015,233,461,442,867,446,291,881,783,276,826,161,679,897,448,392,447,492,
460,320,434,868,031,083,671,857,919,807,226,288,565,090,749,217,046,386,198,
373,518,619,559,351,441,698,807,160,184,628,145,922,301,996,441,394,409,797,
054,444,470,314,816,054,955,520,591,076,907,349,759,560,441,696,973,188,309,
914,015,514,616,035,755,180,212,126,828,392,092,590,373,924,092,301,121,991,
475,297,191,354,225,066,953,718,791,989,841,125,089,983,806,859,050,575,025,
661,484,358,203,233,382,339,905,039,511,564,722,237,039,939,177,948,276,720,
797,601,110,494,404,337,946,585,368,147,091,041,115,408,286,256,189,045,784,
994,695,138,613,114,725,189,661,684,079,690,315,905,459,116,342,452,025,119,
203,666,274,833,023,544,021,098,319,520,865,610,540,038,875,841,922,784,452,
741,267,464,358,145,385,061,416,375,163,303,410,988,342,007,119,402,852,793,
201,956,643,554,580,544,504,260,094,812,023,723,409,720,432,419,055,575,723,
853,635,662,997,414,265,555,385,741,876,318,297,632,120,949,102,296,921,132,
620,690,941,605,963,944,886,637,452,070,458,986,735,000,932,178,947,266,060,
401,400,044,798,154,669,396,376,744,985,055,797,987,012,471,726,901,525,006,
078,817,531,007,782,032,355,687,396,880,558,999,203,594,902,365,282,912,049,
872,388,355,982,764,180,886,134,871,544,828,600,081,611,837,604,640,142,396,
110,064,676,666,352,024,350,696,477,933,231,495,956,669,632,167,646,133,775,
298,950,267,107,457,363,880,433,819,312,233,310,666,002,790,685,709,598,868,
548,990,792,605,684,020,083,990,620,996,306,941,486,157,814,931,015,559,653,
329,466,069,598,569,644,536,891,500,500,358,511,531,936,713,389,666,620,606,
114,017,945,332,438,700,603,512,387,686,821,596,450,570,610,983,501,671,565,
991,110,715,810,862,798,443,225,030,326,153,668,486,769,735,713,024,767,139,
182,115,436,959,676,290,084,039,866,006,883,119,915,971,200,906,271,797,916,
693,010,426,001,147,746,717,182,686,365,993,379,659,580,807,448,364,597,588,
247,249,296,697,771,657,380,276,546,244,270,605,577,712,401,677,450,815,839,
346,056,419,799,104,903,505,646,752,943,301,927,474,990,073,306,825,568,294,
876,091,308,477,970,726,524,207,141,693,632,354,458,503,823,419,684,112,746,
442,004,350,916,105,856,129,239,954,070,831,454,265,506,040,750,841,126,024,
579,667,993,548,877,370,427,070,026,705,117,628,587,980,587,372,040,816,517,
971,013,007,143,724,008,434,658,188,672,301,501,415,818,568,310,629,989,015,
207,098,321,805,622,278,159,028,913,662,470,324,043,531,521,774,442,888,702,
262,630,194,742,154,857,188,687,475,052,445,624,114,224,699,379,997,651,961,
569,102,995,586,074,279,321,631,350,461,153,062,508,249,696,390,165,110,272,
910,763,292,774,656,813,822,207,178,559,393,380,336,105,491,600,894,703,979,
338,642,746,589,969,235,533,663,910,076,325,280,943,782,613,252,694,875,827,
487,235,580,841,373,655,167,052,842,129,815,965,338,402,805,816,354,050,413,
427,576,507,485,533,594,826,031,104,466,311,667,608,221,902,111,243,290,365,
430,954,982,800,186,544,945,501,062,306,868,567,976,468,356,310,530,863,836,
343,054,368,941,427,152,292,681,186,567,982,315,231,149,572,118,751,713,372,
134,510,221,057,487,095,325,407,608,104,851,839,909,047,745,624,259,899,990,
189,415,922,314,080,440,426,098,738,295,536,476,178,378,690,083,687,588,111,
820,822,937,034,331,343,092,510,157,749,134,037,381,849,068,825,249,699,995,
882,711,681,316,641,061,368,976,182,668,826,197,820,145,856,991,806,201,288,
928,191,351,352,017,954,291,350,401,822,790,675,187,275,715,050,249,490,362,
794,503,088,017,867,770,337,174,451,696,863,316,119,168,664,766,264,256,764,
889,859,170,162,265,556,197,779,833,511,508,412,495,426,170,039,877,315,842,
988,691,916,157,184,293,970,118,715,603,451,437,071,373,202,299,399,691,674,
207,997,421,024,245,973,765,735,685,312,843,955,595,287,237,090,683,488,918,
998,970,129,572,358,092,462,040,859,617,301,968,465,398,883,126,084,854,216,
861,057,585,103,792,414,748,082,664,159,932,873,169,191,856,233,089,007,329,
082,005,859,540,859,301,954,712,478,018,469,659,267,574,172,684,605,437,336,
255,770,056,291,540,978,379,629,207,363,434,769,889,239,924,583,725,256,790,
603,200,246,623,244,681,219,966,800,081,484,841,908,315,503,966,212,326,554,
943,240,643,863,451,720,515,905,259,432,336,145,253,952,136,197,273,842,735,
995,098,538,580,140,970,881,562,580,087,305,206,074,833,493,640,940,050,108,
356,877,868,294,089,944,654,410,338,838,409,429,957,758,396,903,222,826,978,
922,825,493,316,499,630,248,240,842,474,614,783,357,744,288,910,093,640,402,
588,065,850,784,484,882,659,038,009,981,310,262,486,338,132,350,091,673,919,
940,901,733,223,670,430,074,437,832,056,687,885,859,927,455,375,243,389,654,
728,732,760,847,277,486,839,300,420,271,909,579,540,908,160,781,103,481,274,
833,064,524,996,534,663,158,814,105,381,668,410,177,644,736,050,123,868,037,
262,822,313,602,537,519,322,261,307,792,742,144,575,428,281,372,806,817,907,
339,723,206,537,769,261,274,906,677,100,342,683,985,488,818,620,706,904,534,
948,964,209,284,924,660,755,611,493,850,848,866,385,872,155,349,210,953,131,
564,379,872,415,261,272,918,461,903,007,528,928,110,651,820,397,571,567,701,
223,321,156,322,544,880,819,933,572,915,412,261,843,464,070,888,601,411,139,
053,823,900,848,535,005,078,849,687,413,331,730,611,813,694,979,357,940,717,
800,288,395,337,846,358,334,164,400,940,111,962,883,749,857,355,353,475,224,
011,858,986,555,344,213,092,065,343,288,005,871,609,368,857,379,942,295,637,
915,842,617,138,278,923,931,170,093,163,854,679,638,182,123,368,436,603,053,
266,560,871,663,221,187,288,970,329,151,018,152,989,371,218,123,591,851,777,
421,645,801,916,167,153,951,202,573,130,279,322,316,702,541,498,598,098,299,
022,665,725,777,497,661,147,906,207,968,469,156,248,863,989,141,809,510,468,
705,836,955,352,503,933,769,873,604,518,087,570,019,581,491,117,016,321,415,
932,443,644,462,911,743,031,836,019,592,737,515,429,067,507,481,046,978,363,
524,444,248,721,223,618,812,734,082,494,929,892,972,220,317,622,461,477,643,
641,578,320,520,439,795,456,562,717,907,213,039,725,541,095,482,924,500,068,
074,045,370,201,075,862,339,199,969,673,790,152,972,907,549,418,595,456,932,
466,081,760,328,876,415,475,373,471,482,359,809,058,213,183,591,628,308,600,
806,314,472,907,387,469,507,091,728,245,437,285,426,018,816,502,937,058,740,
125,093,160,381,487,174,694,164,789,477,799,671,489,147,263,970,155,674,067,
617,585,882,855,306,642,069,613,090,177,632,316,668,047,005,299,300,285,091,
176,349,763,688,131,364,704,486,137,410,059,484,494,234,033,674,251,506,727,
072,048,592,925,260,521,142,217,555,258,670,311,026,623,344,079,873,508,978,
586,209,924,138,608,051,883,589,470,326,071,832,047,014,981,960,179,046,287,
891,628,898,499,939,613,319,076,027,399,220,467,160,616,464,583,701,204,092,
614,606,984,375,361,227,178,471,522,039,149,075,143,084,426,883,664,926,854,
059,632,794,796,835,887,312,980,731,232,784,487,280,756,472,799,163,166,353,
044,701,451,289,507,951,349,712,130,323,815,110,554,370,706,482,209,966,126,
123,173,096,485,597,212,365,540,135,244,230,712,933,460,970,085,236,047,648,
298,927,286,775,339,120,354,730,736,855,592,358,708,247,341,405,386,294,923,
847,353,150,556,941,858,560,454,396,856,008,315,907,262,508,534,671,171,093,
952,284,950,673,282,452,221,891,232,287,654,651,750,649,075,748,746,937,719,
509,034,003,367,910,052,083,677,361,423,744,688,109,155,331,044,785,157,568,
274,983,953,100,341,183,761,497,206,508,798,333,156,912,867,992,424,319,731,
586,244,665,999,994,058,148,676,387,936,728,976,121,716,583,627,600,839,682,
364,199,500,506,607,315,873,410,719,785,086,946,711,178,619,681,341,672,359,
275,223,409,758,049,367,670,382,346,928,723,522,793,041,475,958,080,498,947,
472,846,301,664,300,883,339,447,075,673,069,472,639,250,752,472,033,718,475,
994,266,131,120,912,341,385,518,925,857,947,146,416,378,040,180,041,655,753,
765,723,852,000,185,595,876,812,210,093,270,269,033,764,199,528,728,187,170,
516,508,013,667,203,932,644,674,781,744,076,381,074,608,423,110,845,914,863,
530,233,537,458,746,494,352,810,681,466,411,849,489,516,167,135,620,807,364,
217,730,387,384,476,181,786,112,873,491,589,291,879,618,234,119,452,044,934,
712,585,689,229,982,264,809,139,810,687,948,271,935,073,879,018,189,735,094,
112,366,120,734,115,342,016,823,170,552,322,538,961,647,360,136,263,353,493,
222,959,699,410,954,875,894,104,263,077,679,276,242,780,089,593,823,367,861,
526,562,851,439,487,896,729,355,841,321,918,503,972,584,146,867,156,079,054,
729,238,982,636,718,142,260,219,780,893,730,082,905,832,201,208,765,672,864,
816,879,403,325,917,899,157,948,248,957,009,608,203,927,601,938,619,989,806,
399,949,619,847,910,136,066,418,769,434,788,661,204,972,446,326,392,350,968,
779,062,022,144,695,104,767,501,486,457,875,125,673,171,576,283,805,259,338,
558,468,911,157,665,601,494,764,920,429,819,546,030,978,007,380,733,989,553,
498,193,296,241,688,651,364,386,034,816,419,651,996,660,181,377,859,270,905,
807,235,117,645,096,681,014,347,382,245,652,950,704,576,608,513,976,532,458,
581,585,812,229,440,453,000,854,792,577,453,010,534,724,671,729,252,855,787,
866,819,193,007,802,010,538,188,511,208,854,655,790,912,119,183,920,982,349,
569,126,038,064,034,374,127,305,328,790,219,811,287,487,829,535,066,429,448,
359,345,480,977,432,487,010,311,938,920,505,867,741,370,738,677,976,555,106,
590,745,917,738,488,214,536,981,085,547,001,776,810,769,145,445,826,215,247,
878,896,256,000,303,569,643,915,992,578,441,119,011,720,459,043,329,752,603,
981,092,433,838,618,470,047,034,757,182,693,650,636,853,639,528,873,860,664,
239,721,164,459,042,287,040,546,605,669,403,580,924,000,736,802,963,335,568,
734,504,593,344,320,307,780,201,006,800,054,836,218,267,383,446,316,931,961,
362,673,293,408,175,052,812,901,661,503,372,683,057,093,888,409,106,378,937,
037,240,933,514,377,227,143,863,231,421,122,834,110,055,793,274,990,889,730,
747,204,207,935,318,871,055,567,260,880,391,856,804,664,063,491,514,110,335,
837,344,310,810,120,016,048,836,633,543,666,321,529,149,574,902,960,333,211,
941,030,959,557,494,638,298,411,704,643,180,358,356,842,522,396,798,870,110,
549,611,707,680,853,091,758,234,502,901,950,230,439,894,298,621,209,993,609,
712,075,432,650,119,574,549,026,759,265,476,706,676,102,468,453,579,496,154,
892,183,325,896,786,561,806,251,250,480,916,580,151,994,198,034,333,035,160,
915,498,505,730,305,006,033,389,307,916,701,355,924,743,817,721,859,338,891,
593,923,926,603,014,058,309,728,665,803,447,992,479,851,757,223,466,099,597,
078,997,827,321,803,319,144,824,018,505,854,567,609,004,713,388,946,316,228,
865,632,694,090,184,143,407,142,354,619,796,407,067,616,061,114,437,890,063,
819,923,960,027,348,556,108,938,351,955,215,868,716,196,374,817,817,291,136,
540,806,153,535,280,322,646,982,016,077,787,018,771,695,058,189,151,258,637,
204,970,609,706,370,651,674,540,538,776,544,705,887,601,920,507,551,987,248,
440,473,134,879,072,235,202,445,598,695,363,575,858,570,012,389,744,524,664,
768,387,176,582,698,571,841,179,523,212,977,214,655,737,606,772,480,466,197,
991,579,390,589,194,819,339,179,858,100,020,962,474,284,492,520,907,512,887,
762,995,689,576,403,754,524,596,592,024,264,013,624,797,445,575,437,040,758,
526,345,984,324,961,415,067,990,834,636,827,520,350,707,600,255,275,709,322,
400,496,178,947,998,341,305,542,763,832,877,639,478,941,177,861,678,349,334,
091,482,910,697,414,171,317,326,521,895,914,232,265,097,278,017,244,348,490,
612,196,488,860,060,764,961,240,104,587,364,522,232,679,381,482,306,640,094,
056,121,313,067,995,149,483,033,753,896,569,211,626,017,546,250,943,174,931,
003,214,795,919,413,193,558,257,731,515,885,239,304,102,488,397,025,203,860,
952,709,422,222,380,077,456,764,277,484,512,814,868,607,277,092,687,609,918,
501,250,765,382,061,876,046,298,001,568,281,938,253,471,832,305,475,503,108,
652,272,639,572,158,681,298,783,112,511,353,848,203,415,878,874,319,268,647,
460,661,054,891,616,308,437,162,623,319,341,017,031,945,077,742,222,154,939,
821,432,707,325,806,472,471,523,148,397,690,037,714,186,484,423,432,221,102,
988,707,046,445,545,751,469,654,556,640,198,687,562,690,625,528,451,343,983,
961,173,082,482,890,924,159,750,854,603,520,107,819,276,060,134,752,065,472,
624,071,550,555,043,082,220,159,137,695,613,398,149,325,116,751,153,684,473,
630,317,070,325,397,113,395,544,354,193,745,272,356,806,542,823,882,567,676,
462,218,526,999,757,907,732,392,287,813,539,683,591,386,365,766,209,934,691,
809,554,752,899,829,430,165,389,576,780,119,067,499,583,527,256,826,560,276,
611,103,709,036,212,920,242,045,425,572,060,825,291,118,478,724,700,953,040,
555,085,719,528,422,895,352,855,109,492,794,547,680,079,532,564,631,938,778,
254,589,125,386,664,598,430,817,837,749,203,915,904,324,892,992,921,160,292,
311,809,596,690,009,745,529,556,735,756,386,165,870,657,950,274,030,891,300,
449,825,753,331,478,134,819,773,345,180,097,407,935,846,145,342,170,858,788,
767,203,033,201,315,508,348,668,829,160,350,639,294,233,300,521,417,859,668,
986,682,656,672,110,027,548,374,744,218,983,618,416,926,561,084,082,082,818,
264,538,242,457,189,450,970,680,748,216,407,275,485,866,723,168,598,013,131,
999,286,588,715,488,838,109,641,087,778,884,134,188,261,561,761,602,205,928,
188,804,217,893,267,410,682,850,524,921,300,823,929,024,126,670,203,740,308,
788,282,204,274,944,862,859,329,909,536,582,401,644,637,591,446,461,774,004,
466,018,589,471,930,750,178,921,527,205,613,529,251,365,531,530,554,643,648,
662,063,051,451,553,900,110,405,276,035,183,176,666,107,377,807,559,018,749,
596,999,989,134,316,898,919,241,901,682,883,981,905,578,403,309,018,064,326,
313,521,749,080,488,623,985,105,184,629,402,101,000,517,022,832,274,055,804,
733,189,825,645,143,883,209,063,719,390,934,651,509,802,814,069,680,930,584,
171,270,683,372,792,239,114,610,508,652,833,901,674,930,569,381,328,342,597,
777,056,750,123,567,141,756,223,770,053,108,550,068,812,662,812,868,769,063,
204,605,994,925,947,809,322,811,686,396,091,920,065,615,007,523,740,812,013,
229,942,725,754,039,762,231,200,224,441,229,341,284,952,907,446,633,300,689,
297,755,152,952,879,384,718,487,200,081,098,658,832,790,612,690,955,344,526,
685,331,434,859,244,912,576,227,691,574,415,017,480,386,510,135,006,943,260,
934,514,140,147,504,706,536,196,254,980,823,559,783,749,080,666,766,721,793,
176,103,995,783,290,508,852,918,808,991,823,642,384,526,512,933,805,102,552,
840,278,669,787,247,796,640,112,757,174,877,623,805,459,142,286,496,063,879,
466,510,053,932,479,848,960,998,810,559,509,483,413,151,827,586,959,840,131,
507,735,109,205,527,493,750,028,643,575,249,643,510,447,704,008,173,995,766,
977,640,462,534,420,489,995,044,761,790,110,658,675,303,945,713,590,309,801,
767,091,607,206,443,748,949,080,891,603,872,252,157,711,506,540,751,419,350,
307,506,729,532,311,902,733,596,103,496,076,629,849,058,337,759,859,767,105,
167,566,626,489,841,433,761,060,569,721,848,591,725,983,523,207,247,263,455,
357,570,689,261,330,611,566,744,214,439,964,702,800,435,704,961,567,167,954,
327,936,944,075,300,882,543,769,761,140,326,553,683,227,084,674,069,379,102,
732,742,954,114,957,905,856,161,384,954,542,569,068,188,042,075,426,797,151,
293,085,987,559,583,534,361,458,798,877,374,703,238,881,583,531,687,719,511,
575,672,881,671,648,224,400,134,124,039,377,301,185,231,794,352,123,905,409,
130,147,180,522,231,212,415,347,376,759,299,170,641,094,100,592,449,195,664,
850,318,752,421,593,099,412,795,958,182,122,815,627,906,486,953,698,479,690,
377,648,779,251,576,708,298,215,206,952,401,749,124,063,622,350,360,298,106,
893,484,169,144,436,917,318,360,445,664,938,988,130,201,390,528,808,092,559,
235,364,499,460,711,526,243,581,978,086,542,126,867,000,677,535,418,677,371,
046,071,183,901,231,078,018,231,333,076,211,676,455,862,333,790,019,612,668,
612,706,265,754,056,937,771,191,009,622,655,594,810,417,267,484,291,623,634,
388,594,025,409,605,865,902,458,950,144,946,539,587,741,164,706,130,098,149,
664,312,941,230,934,168,096,310,512,968,596,282,282,673,095,448,095,476,706,
635,763,445,723,046,646,727,504,656,397,259,988,830,151,528,582,121,540,629,
037,478,015,109,134,429,956,845,958,078,948,161,190,513,517,711,448,149,369,
463,868,382,138,636,789,285,599,660,675,231,757,349,589,199,927,578,661,560,
813,482,219,008,472,063,250,096,756,117,551,018,005,116,635,412,636,492,458,
280,021,768,927,656,744,813,975,319,340,891,653,160,138,613,289,731,978,621,
227,926,697,560,494,240,714,826,358,889,500,370,792,024,425,017,351,004,475,
970,354,266,659,060,591,151,516,474,676,918,101,288,379,557,156,622,768,966,
038,726,167,462,422,073,786,629,189,750,397,187,933,251,392,218,111,470,933,
788,600,210,941,442,364,807,160,621,367,537,949,287,751,334,894,919,309,247,
047,013,155,281,938,030,828,264,546,056,544,452,056,660,407,157,660,296,158,
065,405,904,167,513,818,110,021,126,036,869,207,189,431,726,602,568,645,491,
361,027,356,841,298,435,197,407,040,785,525,665,647,187,446,583,022,783,892,
802,687,026,964,887,709,858,571,626,593,323,242,277,693,075,526,497,031,564,
856,449,336,541,766,012,432,043,963,778,387,330,881,721,850,487,108,107,614,
611,916,415,759,596,552,780,684,912,750,394,415,191,873,360,946,487,651,668,
631,382,223,662,539,954,581,790,944,506,852,737,930,731,686,792,251,727,074,
293,154,436,191,612,083,604,521,993,856,496,244,421,358,961,709,667,398,247,
620,157,680,973,485,781,802,287,145,563,724,373,593,399,548,097,488,665,498,
475,113,038,305,392,376,636,366,190,665,015,460,711,945,476,121,768,855,531,
663,415,310,219,371,956,332,082,088,170,547,932,203,234,134,942,937,428,047,
675,505,257,599,409,460,822,182,648,380,771,306,301,651,060,911,028,182,407,
048,688,533,124,725,663,990,129,948,338,328,687,738,589,899,440,227,461,924,
863,713,668,373,571,095,206,264,234,922,899,859,068,807,315,272,900,906,481,
651,511,529,211,483,910,388,415,738,554,380,742,869,290,121,082,673,117,175,
035,673,863,553,737,332,159,865,847,906,341,913,833,216,816,757,923,324,529,
663,893,133,127,969,367,527,509,792,028,304,866,515,996,382,528,496,822,001,
844,550,627,037,705,075,198,293,742,159,967,071,919,773,635,582,739,989,913,
118,867,392,994,652,535,613,648,317,239,254,869,234,832,172,136,300,755,258,
950,966,153,911,770,799,791,828,961,018,601,167,142,685,861,090,319,031,424,
691,669,661,974,871,078,063,343,789,237,687,298,231,492,260,258,673,275,253,
642,449,677,208,264,775,100,715,400,213,122,203,661,216,606,284,737,193,410,
870,819,823,078,401,308,280,284,759,080,040,237,744,802,288,696,268,500,910,
399,121,043,077,682,125,921,482,457,072,206,245,528,834,315,253,164,999,079,
271,321,891,716,315,515,555,401,742,689,358,836,476,783,265,119,130,781,866,
378,128,761,052,992,482,939,555,210,149,493,382,815,985,753,993,034,490,606,
321,929,183,145,809,615,680,134,789,538,349,598,782,217,377,306,434,690,953,
526,135,795,802,541,638,763,827,149,241,277,774,749,729,332,724,615,272,279,
779,656,703,894,117,361,526,363,302,570,257,543,635,657,284,652,456,239,597,
889,955,059,329,974,674,870,990,995,233,810,589,894,746,135,382,267,927,891,
588,564,592,523,654,297,459,109,761,005,516,147,800,224,494,226,553,852,067,
589,691,788,528,322,358,787,509,289,960,770,567,731,147,972,884,564,388,330,
273,760,927,243,510,826,884,585,416,447,224,852,600,310,741,648,186,808,798,
482,487,112,598,636,536,534,572,751,443,120,379,096,918,460,566,459,908,124,
532,940,164,753,966,671,663,790,438,865,911,127,815,639,980,026,507,864,842,
389,854,094,504,671,774,694,428,942,289,168,312,975,118,153,589,508,165,804,
025,300,235,376,888,356,531,196,337,544,891,136,008,100,206,694,887,381,050,
729,037,307,137,294,780,074,599,908,357,003,303,662,455,088,120,687,354,880,
356,494,950,897,603,536,238,705,866,263,213,141,371,232,555,963,655,865,624,
144,547,899,828,362,828,082,358,872,304,638,831,363,958,523,977,595,722,292,
503,563,747,108,882,012,123,860,490,770,352,241,721,843,669,901,176,552,874,
759,175,128,857,679,182,683,461,198,067,514,835,172,473,548,791,061,243,597,
383,075,811,100,462,221,398,634,743,266,483,691,058,333,563,620,869,313,720,
934,161,558,149,523,254,285,407,507,232,353,985,989,893,909,328,573,062,695,
431,683,526,355,204,509,070,185,679,482,411,327,519,818,538,214,303,847,708,
791,001,833,621,585,293,745,065,079,020,900,521,897,370,484,411,346,734,637,
383,143,030,452,546,618,354,244,279,878,036,902,529,138,520,057,611,613,535,
514,936,002,719,038,532,346,978,550,204,880,690,979,207,113,156,847,240,785,
254,244,740,521,113,220,559,317,002,854,939,372,094,343,123,329,117,419,454,
419,335,536,947,179,345,567,162,627,638,451,573,502,715,567,235,582,538,633,
537,748,221,975,881,943,295,473,409,392,593,067,611,441,925,278,587,965,444,
881,205,317,300,863,811,807,604,090,384,184,418,700,642,251,440,839,926,301,
850,133,508,081,736,797,190,231,860,281,644,048,423,388,165,910,728,084,702,
360,140,943,149,180,707,158,327,429,613,331,443,942,734,929,704,651,616,739,
660,139,410,768,438,199,528,898,335,800,537,015,551,807,545,915,333,481,378,
414,940,436,825,927,459,401,189,419,096,287,362,285,180,282,633,228,684,740,
563,221,844,980,101,987,434,611,664,032,721,579,098,131,969,727,596,902,184,
466,464,348,091,451,712,999,214,530,284,745,808,338,083,595,703,155,866,404,
758,633,080,830,756,883,834,193,959,661,210,869,592,209,656,644,231,664,441,
264,429,247,449,672,340,441,176,099,760,275,131,334,997,457,784,191,039,952,
536,126,850,667,785,398,456,245,965,359,211,800,709,758,825,717,715,196,416,
271,054,834,163,748,677,998,111,663,194,707,560,792,052,042,305,753,998,668,
958,087,242,280,132,679,353,184,164,557,495,510,108,592,621,424,820,407,963,
269,510,592,725,952,239,356,498,471,959,039,142,173,878,743,186,785,721,938,
942,807,845,592,088,292,331,789,040,228,800,267,441,519,699,458,250,341,267,
445,509,118,728,548,007,728,448,635,563,635,065,287,206,071,713,319,342,331,
133,949,748,204,708,386,341,965,078,094,278,648,634,170,392,103,920,297,151,
131,305,802,284,625,364,470,809,627,685,566,695,896,296,969,271,179,371,409,
448,243,906,024,922,530,035,512,651,481,434,377,733,555,224,816,408,686,107,
964,049,954,884,486,668,470,360,292,043,927,715,740,122,728,291,653,748,686,
644,355,581,933,259,442,497,163,793,031,232,856,702,509,429,877,478,744,700,
103,036,085,509,582,054,805,780,547,383,239,338,530,281,503,310,563,160,977,
101,828,798,148,423,758,510,110,287,331,534,698,131,243,594,852,582,717,371,
669,953,968,333,150,350,621,195,793,805,314,165,690,698,332,820,145,950,273,
316,321,023,720,483,395,268,471,279,372,211,373,535,961,115,681,678,393,478,
665,974,644,348,225,681,660,994,250,412,893,656,382,545,548,707,509,882,545,
113,727,928,424,187,966,014,728,819,763,779,373,317,003,380,122,655,578,066,
542,249,767,893,945,814,637,821,720,211,974,707,628,640,804,177,126,323,490,
081,496,999,369,435,222,052,543,135,250,411,186,148,064,572,577,318,982,154,
278,872,042,165,150,526,607,967,694,584,119,479,497,423,582,839,380,152,549,
414,706,667,813,624,143,997,018,155,099,740,396,258,079,587,843,720,105,843,
586,498,862,672,952,399,847,904,165,557,097,365,209,842,046,319,164,790,017,
123,756,161,797,669,213,304,231,725,824,658,745,850,294,229,869,791,534,117,
448,518,370,834,486,783,816,655,661,462,357,292,831,732,160,316,154,743,752,
421,699,229,735,913,394,595,616,674,962,870,143,128,726,422,470,311,241,603,
821,555,226,296,584,763,273,717,833,600,630,663,025,077,496,595,653,942,440,
324,176,884,785,085,708,421,416,240,210,247,544,541,803,133,695,005,857,787,
710,184,629,883,776,384,478,942,408,136,952,421,894,585,628,868,551,866,283,
508,247,559,146,104,091,195,593,521,560,626,444,522,758,569,561,498,533,840,
837,169,577,415,349,415,252,421,017,554,690,822,002,984,876,255,761,834,651,
577,778,512,203,485,835,598,150,941,874,579,744,951,383,971,324,773,068,508,
263,170,186,789,214,987,578,328,172,589,449,503,075,761,182,187,039,200,570,
056,385,114,560,365,159,022,005,712,523,837,780,636,492,912,927,165,883,214,
113,108,669,630,718,629,412,132,774,420,915,915,867,342,984,933,962,122,899,
032,657,346,215,073,188,632,143,711,747,529,698,532,619,381,379,551,706,124,
739,189,073,050,715,629,223,045,844,263,696,276,474,212,840,416,385,815,994,
068,254,504,294,303,437,677,831,641,074,800,174,241,481,661,515,891,621,074,
201,940,967,111,687,804,436,832,048,818,397,552,299,305,345,059,214,937,053,
907,854,530,128,143,648,173,786,475,251,246,846,660,735,593,972,317,377,221,
474,648,030,051,550,749,139,501,779,625,422,925,505,698,451,617,079,106,434,
864,163,928,177,759,776,212,358,351,035,695,667,943,325,259,117,922,949,316,
444,279,396,643,016,616,912,088,151,950,614,307,672,851,710,213,430,299,606,
286,168,652,816,143,140,298,430,304,815,578,095,233,899,796,523,051,137,206,
805,428,021,718,643,661,828,370,546,783,642,994,541,879,242,478,168,440,137,
638,410,055,178,095,298,156,740,308,892,573,733,702,348,647,931,229,337,118,
302,594,204,975,056,705,135,594,105,320,107,305,995,424,984,528,438,695,344,
322,381,274,290,233,451,075,434,374,132,221,667,027,656,789,578,457,361,358,
561,581,874,955,573,113,233,132,636,381,073,051,772,318,140,425,977,816,075,
450,540,340,204,018,780,652,359,873,086,283,315,457,297,071,170,980,746,570,
966,914,339,612,937,087,860,688,675,039,347,481,952,029,729,544,479,293,360,
017,677,367,907,438,081,196,040,401,321,236,401,957,684,735,015,282,623,285,
289,430,858,235,293,090,155,290,348,564,913,150,166,015,834,074,471,926,254,
115,278,440,393,413,705,795,271,443,693,446,521,803,130,337,603,654,408,317,
712,273,927,605,571,910,286,917,214,121,525,138,984,442,067,218,437,703,713,
808,628,787,038,562,253,583,197,147,469,713,146,604,080,496,421,951,577,985,
834,299,400,273,801,995,346,936,066,474,961,483,773,351,208,776,605,100,778,
969,325,951,436,054,656,733,845,052,214,820,322,227,385,416,588,013,015,714,
524,543,233,734,366,917,378,654,267,694,786,602,210,769,508,652,438,393,778,
059,071,255,159,179,474,504,960,483,285,466,756,233,905,283,367,903,335,138,
459,962,772,171,471,677,007,131,875,155,737,721,452,648,753,238,823,563,471,
848,494,136,492,479,783,714,558,116,910,906,592,515,875,836,173,053,518,269,
412,496,670,994,882,774,652,820,692,429,102,633,349,906,755,834,180,964,124,
668,859,529,814,458,805,860,977,276,625,656,258,009,473,164,551,303,253,366,
889,701,274,516,926,514,945,205,847,432,929,721,804,058,812,942,138,083,832,
342,771,466,180,787,952,068,845,596,569,340,244,193,631,170,165,689,614,599,
281,834,860,170,888,180,642,026,250,929,277,065,260,270,806,002,119,925,049,
139,915,668,603,019,761,177,635,268,723,664,365,125,464,899,206,452,900,794,
805,600,667,569,878,636,199,366,959,516,131,962,040,054,484,892,440,260,801,
395,257,506,053,847,738,963,320,774,372,831,111,772,873,439,860,839,840,821,
102,665,951,340,255,865,487,181,856,347,961,952,907,195,192,469,379,439,906,
646,567,751,547,516,379,485,334,646,490,706,669,292,870,103,326,318,397,149,
990,257,269,170,804,368,641,955,372,943,744,006,582,320,090,127,367,072,752,
900,196,878,124,219,374,387,083,036,299,746,999,776,692,266,042,671,713,350,
196,614,139,434,571,401,426,732,450,959,456,859,126,217,674,683,714,327,243,
177,473,145,798,041,252,125,751,342,375,094,319,278,319,928,744,490,462,476,
922,602,782,381,890,115,220,390,878,714,014,962,460,338,876,704,511,625,775,
817,307,311,176,675,640,439,157,945,843,724,561,352,617,449,674,446,134,009,
936,242,471,298,768,413,978,991,319,073,008,460,029,612,706,507,753,989,601,
807,763,039,086,322,498,217,210,999,255,343,339,161,527,609,274,477,079,654,
280,607,930,990,186,554,536,740,944,346,040,975,660,837,823,803,996,068,831,
504,620,272,758,043,890,623,861,529,241,544,990,136,092,783,336,786,716,584,
248,547,962,554,265,456,340,781,623,513,801,685,756,293,069,036,836,192,732,
250,923,684,847,537,193,117,412,414,801,508,448,111,790,919,529,146,822,632,
370,864,041,796,183,323,490,342,945,720,958,468,794,940,232,546,733,415,787,
263,131,760,580,170,617,101,210,888,580,359,908,986,318,525,821,715,046,957,
683,270,847,669,267,217,646,455,197,350,382,886,249,141,763,323,451,405,727,
897,958,426,675,660,623,270,036,229,668,171,946,804,885,503,731,519,844,583,
996,133,649,892,283,321,136,725,560,052,390,559,399,328,671,821,117,410,459,
293,058,008,862,330,536,944,059,026,930,489,096,642,455,712,999,894,646,491,
280,641,556,872,742,624,222,442,472,198,893,662,675,957,067,431,531,334,759,
293,012,906,428,110,488,161,786,256,517,801,713,996,781,908,586,444,688,905,
144,821,707,098,095,380,819,386,791,240,165,727,765,875,111,807,443,426,936,
002,111,644,394,163,570,797,797,041,324,523,434,776,635,969,512,959,910,079,
146,358,227,840,078,172,968,936,187,539,839,735,356,906,059,519,409,517,284,
942,518,833,915,573,135,310,230,476,314,861,614,983,430,200,954,854,414,064,
252,015,865,363,234,778,728,237,637,171,274,495,524,155,753,272,750,182,285,
269,329,067,121,598,913,329,148,584,462,034,921,634,178,429,230,634,261,559,
193,638,392,435,164,235,864,430,713,217,292,303,874,844,322,477,846,390,957,
392,441,347,404,514,108,237,161,923,375,840,958,658,584,631,454,519,127,715,
774,952,753,751,251,700,103,751,709,789,378,128,980,655,265,535,921,835,774,
320,573,016,786,696,359,075,778,294,175,632,157,009,724,374,598,908,522,072,
684,350,038,568,433,990,558,804,721,952,061,407,592,801,795,348,555,080,896,
118,913,332,703,229,410,308,648,403,190,852,645,904,629,760,377,646,251,454,
815,740,649,205,652,511,957,499,623,524,556,528,488,285,585,216,952,314,948,
337,562,365,056,164,892,069,636,213,311,663,681,440,497,753,578,103,783,278,
216,238,262,676,120,886,149,002,888,533,061,197,159,923,043,522,917,644,279,
693,049,246,513,383,775,733,544,366,904,902,896,664,588,957,227,514,836,288,
253,847,628,803,664,037,247,807,651,327,847,253,135,184,579,948,731,063,670,
492,738,092,418,212,983,118,477,799,319,401,995,906,455,618,676,587,638,706,
751,701,614,974,303,524,645,380,707,653,694,557,039,327,860,235,673,788,957,
042,375,699,546,976,976,325,183,317,502,626,392,773,210,253,663,050,980,268,
899,973,690,735,304,062,553,103,316,238,183,187,150,820,142,486,971,986,089,
127,620,663,060,149,829,100,926,781,228,291,498,208,322,924,036,684,137,797,
400,424,231,150,988,971,338,420,313,901,277,151,919,563,782,662,387,811,817,
495,000,783,874,159,294,635,050,245,985,047,254,662,594,173,040,287,312,276,
740,099,888,022,197,092,837,416,432,993,323,133,441,956,014,973,691,573,387,
057,609,508,488,789,075,563,815,708,588,152,663,034,578,286,460,902,353,895,
284,171,607,893,033,621,689,875,355,483,407,540,902,962,505,445,909,901,536,
948,593,207,408,611,971,842,906,585,437,217,130,054,021,934,055,230,334,117,
704,176,917,291,801,852,544,944,134,078,582,010,321,392,215,869,414,761,107,
180,723,325,184,775,027,736,434,700,672,628,980,204,731,926,909,650,133,051,
386,859,827,912,061,990,051,982,905,396,461,229,645,750,072,403,095,100,907,
240,202,859,838,894,474,844,036,532,008,548,518,234,057,389,293,121,056,885,
249,093,790,142,996,937,682,588,781,400,630,351,168,732,297,540,242,714,793,
910,973,172,883,811,840,297,358,780,749,203,199,658,927,443,698,515,993,433,
849,598,857,905,951,082,808,902,377,143,938,612,337,035,152,306,299,678,504,
481,187,187,393,865,170,554,044,555,248,947,362,196,396,353,382,455,667,430,
021,559,444,163,999,053,548,221,484,420,494,124,778,180,075,949,496,711,919,
520,210,463,097,741,357,727,711,365,727,387,398,963,819,097,322,786,747,288,
179,339,052,669,098,221,402,772,121,852,019,263,086,422,814,037,360,357,435,
162,292,188,730,758,116,019,152,468,664,511,453,159,323,994,492,034,057,978,
220,854,008,366,799,949,157,248,003,784,308,172,186,710,336,846,899,277,270,
632,098,565,936,764,934,899,551,005,396,509,431,950,119,139,371,423,651,494,
120,195,728,148,378,924,530,991,054,334,485,797,878,348,534,106,864,679,110,
440,439,996,225,764,036,407,741,086,789,335,271,723,195,962,914,611,143,992,
679,869,870,473,924,319,624,563,430,739,034,226,473,777,658,462,696,927,406,
711,072,132,904,065,742,558,939,725,079,047,891,350,381,772,407,046,864,511,
952,736,525,469,351,186,962,839,637,824,497,889,570,183,578,582,395,274,866,
598,382,077,768,733,245,512,737,019,076,454,155,474,371,832,269,313,387,524,
717,334,343,433,957,596,066,255,020,876,815,967,486,975,899,714,313,703,951,
396,044,095,796,662,770,346,660,344,972,656,313,554,624,975,620,253,564,110,
386,559,980,236,730,489,400,376,561,120,447,882,202,033,634,688,362,087,880,
905,952,069,575,857,431,410,492,885,925,515,902,252,454,901,027,535,308,606,
340,427,747,203,386,382,576,743,546,000,888,033,760,862,679,366,677,651,033,
078,410,500,496,286,110,733,907,468,577,856,923,863,845,258,263,540,794,598,
465,222,654,841,207,542,639,234,510,416,942,471,078,102,050,503,972,488,900,
308,566,495,250,591,770,179,367,387,845,153,404,483,610,989,468,836,222,729,
352,734,725,445,035,752,373,739,521,274,140,489,917,469,116,552,307,601,275,
997,571,612,767,592,266,666,047,440,399,906,897,972,373,733,545,359,623,683,
355,075,364,232,407,153,533,833,236,210,651,897,626,819,931,233,412,468,618,
302,053,442,503,874,536,901,029,255,710,830,427,340,170,061,783,686,288,820,
594,892,691,933,975,206,039,475,206,766,002,617,416,488,721,663,978,597,708,
486,313,201,845,278,605,035,847,275,234,230,776,090,453,525,634,139,238,066,
903,083,062,078,419,145,914,966,261,749,988,410,104,834,489,737,073,100,952,
784,739,934,472,247,176,327,110,442,074,280,524,253,802,848,206,923,294,284,
014,066,705,257,043,710,268,374,598,482,846,595,434,012,341,580,080,839,360,
333,454,482,005,292,219,938,971,149,038,234,117,507,240,379,334,238,880,205,
130,872,750,176,553,668,582,613,985,382,919,339,030,947,360,630,127,298,861,
737,028,075,858,167,723,321,243,162,119,765,755,652,570,038,828,743,411,994,
005,804,575,856,109,907,583,287,633,883,486,327,064,102,671,056,531,315,460,
749,006,827,578,014,684,297,106,578,763,609,277,448,942,174,838,631,832,169,
725,199,259,599,168,626,412,467,880,773,026,730,372,806,054,146,259,598,044,
322,888,598,378,104,246,122,417,882,340,327,190,681,685,342,423,317,873,548,
162,270,157,140,906,164,783,669,020,792,920,552,847,922,534,659,278,174,874,
508,558,166,998,374,306,449,497,889,777,524,661,327,236,274,985,156,131,527,
202,185,121,905,873,053,114,285,522,296,318,484,593,526,761,469,552,919,680,
015,181,370,142,950,190,005,231,653,874,715,689,726,887,183,225,752,167,977,
018,126,503,206,774,492,452,893,321,000,085,642,164,924,933,257,294,523,956,
642,365,409,307,238,089,824,659,809,999,019,647,900,330,350,934,414,729,152,
171,178,997,261,846,346,462,904,384,204,645,083,960,797,382,994,521,808,349,
697,198,415,994,629,285,810,292,688,791,735,632,092,374,851,260,968,874,379,
407,224,317,726,587,429,730,577,214,067,619,313,835,922,833,427,277,166,137,
130,238,704,502,925,230,867,342,368,315,516,797,022,845,160,804,929,290,890,
424,119,689,364,501,501,403,541,564,663,986,036,873,779,291,063,850,075,407,
341,471,327,499,093,644,442,136,012,755,245,084,711,865,959,062,992,512,017,
428,411,512,779,898,673,739,484,980,721,675,314,001,925,206,706,721,656,764,
162,153,709,373,609,870,721,898,900,575,258,986,531,119,717,373,603,078,947,
079,020,668,122,438,634,285,321,229,414,832,886,529,045,861,837,339,777,094,
828,679,464,227,124,371,211,146,569,747,172,106,684,323,976,648,856,581,900,
513,827,381,966,934,109,826,247,873,005,837,050,764,344,514,938,661,628,019,
914,679,903,516,701,557,018,568,885,464,495,289,384,701,172,002,451,404,178,
964,250,129,392,399,454,171,679,087,947,815,632,691,286,208,253,431,623,541,
815,093,821,313,085,674,525,283,457,877,545,290,450,847,439,210,338,575,484,
321,887,226,174,151,662,014,360,826,612,203,173,942,500,120,850,832,047,905,
236,842,059,749,447,933,740,086,780,827,679,020,908,213,820,433,317,011,627,
208,098,028,711,741,338,107,956,849,798,677,464,224,868,587,995,314,931,777,
471,097,927,161,764,553,477,345,100,535,306,184,317,876,607,108,122,217,895,
726,490,104,159,611,271,597,195,344,840,540,422,075,434,236,299,577,308,016,
137,463,838,570,864,823,146,313,017,201,451,256,640,666,964,990,317,662,822,
744,483,981,884,601,915,081,916,417,664,796,706,449,460,772,589,045,934,053,
857,145,944,029,352,924,639,733,963,949,728,046,898,495,462,581,243,785,008,
203,757,396,909,871,792,214,542,593,313,388,416,018,689,994,585,157,344,424,
877,056,027,300,915,450,107,027,493,139,861,218,995,045,843,862,661,092,499,
840,250,380,528,084,785,475,723,034,647,467,361,178,294,207,502,870,976,434,
268,848,599,349,307,321,996,397,623,488,296,850,859,820,130,508,751,568,832,
609,512,886,948,926,572,464,232,672,305,604,653,261,834,540,438,297,646,442,
267,525,585,503,187,185,131,007,079,334,283,183,305,870,582,660,235,909,026,
551,484,362,303,730,216,078,988,299,021,507,244,183,808,685,714,810,099,855,
829,962,672,623,360,593,280,595,554,113,277,712,432,667,755,091,095,870,807,
793,568,350,556,698,293,117,166,952,687,444,407,409,215,466,641,211,087,988,
470,354,947,783,552,832,648,113,951,708,134,889,288,727,687,939,328,019,966,
605,668,834,629,458,907,387,715,487,722,976,306,860,679,022,261,844,723,601,
730,668,773,253,724,176,564,839,671,895,832,487,234,298,032,641,805,867,438,
213,304,762,018,735,695,523,898,961,494,241,306,765,977,668,213,061,023,367,
421,742,874,144,033,325,292,530,084,488,165,695,621,257,829,185,456,448,695,
372,413,350,548,769,133,301,072,536,751,391,307,698,664,187,258,590,331,821,
055,973,204,900,824,576,167,537,308,056,980,670,830,805,094,054,904,585,999,
999,236,666,810,971,726,372,381,157,199,272,541,185,176,957,099,725,676,400,
557,021,691,411,235,945,584,360,174,151,818,991,271,207,032,756,252,618,896,
960,968,299,948,050,903,132,241,685,163,603,748,179,543,956,130,603,623,384,
216,143,678,751,916,804,809,187,603,745,093,669,933,764,541,337,683,241,472,
368,597,022,958,546,121,403,452,633,654,997,726,536,224,382,251,689,749,154,
223,693,966,173,531,523,169,279,678,200,297,799,862,962,809,646,761,361,031,
242,227,410,681,206,857,059,649,197,594,176,430,858,092,178,572,435,827,501,
133,431,975,433,227,868,132,295,064,360,172,915,768,137,496,547,254,974,359,
986,956,116,125,190,994,483,962,452,078,297,958,736,773,914,890,630,461,870,
549,942,017,639,438,009,777,145,214,672,414,505,457,417,512,666,928,498,159,
526,761,847,424,238,628,749,853,069,450,092,387,696,470,975,377,273,481,934,
928,094,856,818,701,254,763,357,644,071,966,193,820,755,777,162,288,029,895,
161,411,198,396,761,697,766,741,112,573,954,338,289,677,955,395,717,609,192,
677,124,632,503,691,355,215,009,828,122,215,349,426,634,504,938,214,562,932,
282,221,072,777,701,109,014,994,554,551,402,158,027,092,824,799,580,345,941,
187,996,129,730,592,115,352,823,441,598,595,865,267,079,517,469,328,610,738,
759,528,122,234,029,034,036,604,904,340,489,081,239,465,577,504,572,378,442,
605,679,313,381,007,949,748,607,388,248,778,116,339,654,042,912,951,110,970,
344,024,479,162,898,452,246,997,306,729,421,191,902,038,247,598,963,214,489,
382,414,534,883,883,163,395,958,983,970,242,122,276,363,624,141,813,840,130,
514,795,464,124,884,884,003,871,909,335,689,737,364,329,373,949,809,438,261,
810,684,193,930,982,583,555,942,700,768,241,220,131,967,831,010,485,402,500,
332,070,774,143,461,122,126,807,735,772,396,597,425,147,738,885,471,951,460,
104,725,498,744,994,443,494,594,160,667,227,530,858,459,286,800,147,509,437,
031,984,278,916,748,573,670,338,360,600,860,010,437,270,102,621,600,991,148,
746,666,303,651,611,044,507,961,660,097,174,077,077,361,328,277,393,249,019,
114,400,874,625,888,410,609,461,681,287,962,850,797,597,824,021,962,045,682,
375,495,911,388,120,712,561,575,205,079,260,573,103,329,646,939,920,019,044,
404,151,269,324,472,682,098,989,467,996,797,444,643,742,303,820,074,458,225,
064,902,097,235,805,443,804,844,627,915,529,815,569,345,988,209,463,687,012,
281,759,515,060,119,868,571,472,419,113,251,091,994,093,384,783,955,455,925,
953,219,615,725,356,785,564,936,993,751,595,081,865,580,208,562,468,110,157,
952,410,989,563,416,111,918,399,987,073,942,039,886,225,999,025,202,567,001,
126,774,825,275,177,678,428,167,393,834,983,042,776,225,932,795,483,218,089,
983,029,829,837,807,270,540,851,521,172,754,963,189,257,311,051,123,941,166,
285,339,079,652,154,703,803,430,676,015,874,850,710,115,603,774,161,669,602,
954,816,488,140,288,477,583,765,241,270,285,590,565,155,757,004,688,951,720,
067,523,019,385,470,810,138,075,039,486,607,719,645,623,796,386,770,975,366,
754,422,766,247,607,641,021,392,568,985,863,759,297,931,041,559,096,074,406,
370,084,687,238,116,804,889,260,299,522,223,754,446,273,855,643,356,409,665,
401,124,272,860,727,966,226,960,944,977,894,823,653,380,995,316,526,927,185,
059,178,216,926,703,321,989,515,425,238,719,756,063,960,577,791,154,223,521,
487,728,685,631,157,331,808,221,359,477,368,431,821,111,263,721,748,487,739,
730,979,832,570,226,318,242,810,842,446,136,216,884,362,424,676,867,896,518,
815,431,810,134,572,186,256,442,435,461,085,302,883,334,398,490,866,365,518,
253,249,999,058,313,554,170,779,262,958,456,460,383,439,196,700,145,238,066,
752,977,430,879,855,742,357,850,669,887,999,414,431,803,844,483,112,429,688,
754,049,771,444,529,282,006,642,047,011,842,099,985,074,025,193,155,013,057,
103,717,694,378,969,144,288,533,109,131,069,808,711,277,432,736,669,786,855,
455,759,021,334,815,714,119,783,262,873,703,205,392,084,057,254,923,584,420,
157,725,082,011,639,990,763,804,091,984,522,931,181,336,299,688,394,968,676,
821,025,187,464,269,415,730,752,464,680,415,782,218,012,861,975,574,444,110,
813,853,548,756,706,331,288,664,601,570,061,109,911,528,351,225,936,916,243,
153,658,986,703,926,891,430,198,636,335,114,076,409,642,406,453,760,023,140,
107,866,146,809,207,816,808,004,963,154,296,070,323,067,037,544,080,318,939,
621,739,603,846,824,422,356,920,185,678,210,862,378,104,821,300,887,968,252,
451,619,350,131,346,038,996,940,617,645,174,387,256,223,608,286,892,156,048,
483,385,590,350,925,272,320,836,516,379,935,483,142,505,519,306,759,012,166,
057,289,223,015,631,171,881,133,160,498,334,662,881,814,574,113,029,166,265,
125,151,800,499,515,071,267,222,569,478,149,655,995,623,611,891,297,992,884,
130,111,913,147,071,257,946,412,171,053,170,356,551,792,684,262,118,711,706,
164,134,370,084,542,034,525,365,488,607,701,746,457,416,089,543,598,119,950,
335,394,652,289,937,331,053,717,331,337,026,599,206,080,390,476,331,817,844,
395,967,092,858,502,505,058,720,297,343,760,299,929,139,573,754,617,618,637,
220,076,609,624,040,831,757,824,705,812,735,435,806,559,249,855,769,542,008,
778,495,271,720,162,797,617,814,622,903,871,175,228,807,072,278,493,532,490,
073,014,623,931,728,234,984,759,013,683,498,590,504,544,231,494,212,559,084,
309,004,922,144,499,799,417,944,566,530,012,911,010,920,705,202,872,162,395,
896,895,436,320,177,542,572,013,792,321,491,464,143,913,294,730,909,261,928,
864,453,871,614,734,678,832,240,429,485,424,954,247,458,698,258,301,064,765,
801,320,360,043,944,591,645,914,776,874,878,954,708,519,401,049,203,161,850,
955,089,114,368,022,861,858,679,371,814,581,001,927,882,674,355,360,451,225,
308,690,220,193,056,481,050,843,267,190,988,216,695,989,338,417,805,402,214,
088,275,153,496,526,956,430,556,250,468,578,291,087,037,133,557,610,566,385,
744,948,174,444,999,867,938,779,375,737,023,304,479,624,546,113,150,929,778,
303,840,485,476,048,298,815,219,989,101,256,802,866,247,645,325,961,903,477,
678,388,092,892,219,164,174,565,643,021,745,863,597,687,446,943,271,031,055,
063,342,138,090,178,528,859,861,878,622,137,297,422,408,492,517,244,417,851,
553,384,818,075,309,359,847,025,398,749,672,014,742,312,132,973,330,899,152,
518,142,047,907,832,503,348,993,109,132,723,641,929,819,607,566,154,856,722,
922,616,175,422,041,387,553,688,143,265,682,464,708,576,822,384,587,793,206,
447,210,357,172,486,389,024,501,833,412,821,562,833,380,946,509,126,453,777,
328,218,172,279,029,831,436,187,771,548,525,114,058,757,692,323,747,797,288,
900,523,459,284,903,388,245,018,776,128,714,891,925,082,220,818,372,185,918,
168,907,201,623,172,446,671,671,400,382,621,503,333,502,746,214,118,196,596,
635,966,521,176,891,019,002,011,401,216,201,811,618,065,258,992,852,276,023,
739,469,701,890,959,347,344,714,958,195,476,371,615,642,738,990,225,059,710,
217,655,075,141,790,201,498,612,683,511,364,951,491,539,434,400,801,791,413,
961,895,604,311,550,989,457,467,793,748,602,660,680,764,858,167,488,734,610,
578,577,363,255,903,877,578,464,831,791,429,723,955,860,055,765,750,513,442,
510,978,319,615,568,578,003,424,687,832,011,337,760,196,170,578,041,290,537,
663,048,215,249,990,118,037,464,335,536,975,957,293,414,741,881,550,310,752,
021,703,900,428,486,457,659,537,242,767,165,791,802,713,214,744,174,725,970,
207,974,122,189,595,804,135,110,732,188,595,326,564,785,889,294,691,193,686,
757,511,623,111,725,727,700,731,139,624,029,480,802,918,104,326,454,210,435,
251,720,559,257,453,137,902,809,252,015,498,229,669,917,670,961,574,398,142,
732,213,347,345,104,358,060,041,109,578,725,989,258,886,587,845,086,376,826,
446,054,849,154,093,873,248,095,143,125,744,860,582,128,630,480,455,350,980,
929,180,986,643,492,294,867,284,224,895,768,973,078,219,470,473,985,671,507,
395,569,241,288,051,465,678,092,755,918,043,396,352,240,493,509,320,883,779,
594,344,593,871,089,657,195,794,881,172,561,844,983,865,575,622,340,090,140,
468,959,713,886,235,190,446,063,607,429,367,094,094,149,428,839,806,009,551,
581,588,234,381,199,127,775,901,754,766,892,579,832,121,391,767,254,526,469,
208,575,192,792,044,689,883,429,766,863,557,381,337,745,743,699,327,244,672,
459,409,452,085,512,531,459,903,253,098,881,398,990,613,556,743,884,649,689,
560,182,515,903,121,324,650,116,094,489,040,437,782,861,067,242,567,863,103,
516,512,845,692,134,907,262,636,349,957,132,827,281,101,513,483,139,282,021,
405,621,048,339,087,934,749,581,302,072,542,152,523,190,100,185,245,354,864,
286,315,301,948,205,026,540,942,250,636,159,997,838,995,668,582,679,322,819,
872,808,200,403,786,958,794,605,622,096,775,617,127,868,035,708,023,722,372,
652,970,753,372,506,041,656,402,958,723,066,790,001,746,824,177,269,075,141,
504,130,108,584,717,434,688,755,569,415,111,551,905,871,748,726,401,770,767,
177,005,134,463,308,446,689,035,801,011,287,959,592,443,202,420,615,349,164,
595,343,517,465,943,551,206,257,261,124,196,588,473,826,136,984,621,679,473,
940,534,269,438,305,727,766,979,009,628,942,134,909,319,337,835,125,417,076,
532,277,145,425,820,865,750,522,759,049,256,794,419,168,362,369,446,463,123,
242,064,607,195,743,163,262,757,179,869,857,799,236,592,813,191,210,026,809,
019,443,049,988,026,320,172,001,857,064,339,944,237,330,636,333,570,859,832,
632,101,003,539,656,434,433,060,440,511,609,800,340,714,690,359,973,223,030,
213,134,348,183,922,399,380,083,609,816,561,572,157,578,720,140,079,322,850,
308,267,329,896,749,413,225,521,960,814,610,875,640,594,678,096,412,284,904,
303,737,016,072,723,573,182,564,575,029,059,238,177,732,325,144,834,273,681,
031,050,141,717,655,043,148,206,135,628,003,954,466,376,733,850,689,634,919,
317,932,117,510,289,525,631,576,532,678,747,434,070,159,245,605,554,219,169,
424,577,577,575,206,299,709,728,815,418,865,753,435,749,624,495,573,067,673,
046,116,968,687,487,083,807,468,441,183,054,769,960,954,515,393,196,592,101,
121,179,497,072,842,684,004,329,395,704,958,547,447,630,929,786,688,192,254,
173,243,272,272,042,900,222,204,625,302,355,577,286,900,712,241,452,925,382,
338,038,912,695,147,860,889,879,431,497,942,361,507,495,198,389,771,788,017,
986,602,231,198,147,811,736,653,933,385,848,428,704,546,356,371,471,737,991,
463,244,836,417,409,530,794,231,290,825,051,434,674,975,320,799,433,343,864,
438,731,626,958,581,842,632,509,323,978,838,453,996,258,191,128,750,541,508,
907,133,557,110,895,581,051,253,689,454,038,751,609,680,125,867,758,073,234,
276,746,519,020,712,841,317,226,641,662,007,436,178,105,330,040,147,783,238,
491,579,791,751,698,965,128,527,903,909,281,749,480,844,125,528,438,488,660,
352,419,132,426,950,594,314,567,484,183,589,799,173,208,003,137,729,549,838,
387,496,443,987,815,756,905,610,269,956,111,642,348,557,025,577,151,535,073,
812,171,133,941,074,811,648,648,635,151,767,907,962,881,606,395,822,196,025,
875,828,872,595,158,712,795,254,422,072,336,351,958,466,254,257,471,770,181,
026,615,137,527,239,871,240,907,263,671,030,755,987,193,663,634,868,119,479,
562,228,312,640,165,250,587,416,849,641,910,964,412,376,405,803,918,465,509,
988,526,655,356,458,144,166,545,907,586,137,460,826,782,303,160,330,023,652,
955,208,239,629,854,718,455,442,047,184,686,526,158,621,882,180,176,053,898,
316,722,492,318,538,040,720,124,871,899,816,002,238,865,694,486,925,686,308,
246,197,656,125,831,260,886,337,406,892,310,190,816,156,634,859,434,022,735,
871,459,387,458,588,306,351,967,517,687,449,900,543,376,790,641,765,901,117,
989,520,709,065,792,820,081,728,500,728,207,867,983,375,195,437,581,748,320,
196,113,117,715,203,198,756,503,160,503,819,043,701,999,428,738,578,044,401,
954,019,585,132,230,800,421,895,098,765,171,773,120,145,854,793,378,203,136,
397,781,963,712,179,723,945,005,699,846,129,512,282,469,334,487,992,709,872,
800,724,148,542,528,376,460,931,520,591,041,183,861,785,318,157,910,383,032,
553,959,280,712,464,652,266,429,688,129,556,885,007,512,197,595,444,762,289,
888,826,875,890,128,880,608,541,149,467,027,876,001,528,551,898,914,529,272,
037,506,103,084,821,636,863,573,133,500,436,987,519,630,125,659,594,505,402,
710,372,845,518,735,264,369,157,102,946,651,953,879,314,418,500,119,104,368,
468,365,820,184,037,472,704,360,280,610,500,650,525,354,112,745,252,966,784,
064,713,248,522,998,181,375,857,232,682,654,804,667,585,970,699,428,211,779,
860,104,645,789,412,484,671,931,115,675,539,412,884,024,799,488,174,891,013,
556,173,884,034,458,433,290,098,375,489,650,753,763,472,761,857,411,086,621,
478,513,649,152,990,057,854,151,968,354,231,294,768,807,198,163,319,858,430,
998,670,767,034,288,825,298,638,879,911,599,462,910,530,195,046,942,757,747,
488,750,147,590,774,526,072,605,186,849,476,376,052,206,925,834,660,003,244,
387,556,730,110,477,201,321,678,002,199,521,533,332,649,343,665,892,773,300,
944,410,474,240,679,323,119,975,739,263,676,768,221,728,157,200,495,937,202,
982,848,227,185,770,689,316,115,970,815,045,683,817,965,750,786,030,192,144,
497,899,593,922,796,272,379,284,416,266,790,856,450,654,417,627,760,481,774,
854,035,820,509,023,996,589,045,344,870,267,854,240,550,338,351,884,817,756,
339,040,701,089,445,988,432,722,202,941,828,810,935,800,291,307,512,869,835,
068,155,330,414,191,612,117,749,522,608,605,130,969,780,405,530,831,000,525,
391,059,418,705,206,451,501,369,918,192,165,751,593,636,058,311,486,087,978,
184,865,301,112,952,381,021,473,996,453,134,855,443,252,022,042,281,748,392,
356,938,483,520,195,967,013,631,055,709,935,948,015,876,339,199,512,697,624,
433,577,580,884,315,785,873,204,186,653,892,579,869,701,403,375,432,339,695,
051,356,035,851,291,600,487,127,295,514,485,498,157,938,555,552,228,913,937,
333,787,421,893,232,031,215,369,289,199,758,274,068,753,579,517,837,572,466,
399,331,200,363,037,569,834,036,305,171,176,205,710,181,441,155,931,308,699,
296,160,353,649,083,861,500,249,394,899,977,641,564,340,182,786,283,646,667,
298,467,980,606,783,252,459,026,647,614,673,235,313,517,228,898,048,766,384,
668,682,358,263,653,581,878,536,786,419,092,398,392,020,024,135,346,743,521,
971,191,292,050,661,427,449,922,126,190,162,771,678,225,503,854,379,053,779,
975,114,107,416,752,881,772,425,711,655,376,474,979,001,299,553,205,561,624,
163,308,505,105,464,176,078,778,477,610,898,418,779,408,794,497,029,375,922,
001,126,331,375,646,395,169,207,993,080,825,589,813,250,913,532,232,085,184,
634,446,658,216,683,586,300,260,562,633,789,336,648,118,845,054,813,128,542,
077,631,804,450,732,495,671,767,555,248,964,897,568,396,739,400,607,430,566,
103,306,139,562,344,312,106,867,114,139,370,797,264,448,051,592,551,183,508,
525,239,083,171,109,683,803,039,330,380,681,663,158,597,910,246,041,210,366,
646,631,442,652,474,048,178,573,964,906,891,855,602,984,882,830,545,188,855,
445,200,762,253,399,018,810,898,670,537,091,377,795,676,743,408,983,480,172,
847,810,126,608,971,648,749,101,325,711,712,095,510,819,411,891,868,536,791,
901,459,801,783,810,926,532,544,688,508,866,356,743,557,847,044,163,918,475,
739,551,601,629,536,734,442,152,267,153,280,554,322,004,405,598,496,759,011,
504,364,853,684,863,196,462,857,072,973,238,414,372,750,746,196,001,448,178,
902,846,495,017,149,099,533,953,644,851,920,302,011,266,112,802,919,519,877,
956,215,049,010,037,276,418,788,802,628,197,144,819,947,855,955,714,180,269,
486,519,945,506,766,226,140,347,387,516,143,639,870,467,755,225,856,233,005,
743,243,330,949,924,195,708,309,009,572,077,085,721,335,623,167,520,726,387,
600,712,670,117,595,393,148,719,180,494,927,553,498,090,579,500,018,670,409,
135,755,799,770,803,123,010,458,957,415,841,508,218,474,912,183,660,788,022,
957,414,288,653,134,967,787,203,997,738,939,050,757,791,038,874,548,960,488,
500,791,782,275,587,199,166,762,557,341,710,934,654,187,969,018,536,504,329,
740,959,118,663,522,098,506,283,004,206,088,712,919,835,770,405,591,344,708,
018,890,398,581,950,705,529,694,645,290,596,721,549,627,732,008,236,813,349,
332,506,794,562,395,619,684,461,555,098,170,183,856,504,020,502,987,769,175,
805,272,469,964,758,851,226,355,460,024,799,585,598,897,985,800,266,822,149,
558,288,554,857,230,898,344,007,011,402,358,653,060,051,877,442,973,279,254,
405,596,475,605,455,857,874,079,075,364,904,686,156,246,630,118,559,230,089,
359,679,851,691,073,225,777,039,075,729,350,753,824,327,079,721,789,934,111,
114,559,714,560,734,580,137,072,058,125,854,966,549,174,566,061,972,088,235,
706,082,537,363,657,163,270,887,715,621,423,538,118,132,281,804,183,389,574,
365,464,793,277,713,213,610,826,750,195,969,580,236,303,032,669,395,891,116,
341,642,818,478,858,691,984,266,361,833,641,117,244,213,352,572,757,040,731,
019,701,408,904,935,794,488,292,701,392,364,349,786,584,358,006,851,612,048,
994,058,311,276,651,881,773,958,280,417,284,024,810,411,809,213,339,007,405,
442,908,127,921,446,581,814,674,767,870,370,164,222,283,394,683,073,115,908,
923,598,747,311,501,927,317,331,842,203,802,697,189,104,075,531,737,626,610,
167,070,311,966,369,173,923,151,868,890,827,901,656,917,766,340,349,552,719,
661,988,243,227,681,038,814,493,753,271,018,403,063,158,984,728,081,967,089,
143,073,061,607,707,159,972,674,754,536,290,261,087,763,611,608,282,290,892,
144,373,191,919,841,787,682,534,444,854,015,560,444,737,955,485,692,831,229,
631,635,107,375,282,500,869,987,269,395,138,988,106,950,372,531,282,139,390,
035,296,763,539,675,930,158,450,187,892,332,907,894,861,822,392,588,733,410,
911,340,447,072,801,564,077,149,072,679,342,859,483,177,096,316,668,418,569,
503,622,566,328,885,677,280,513,531,275,989,372,063,186,542,363,356,903,432,
869,600,717,894,388,941,076,936,536,150,217,213,277,008,395,549,058,662,702,
256,918,806,622,920,634,134,358,928,045,784,431,643,232,514,769,352,480,740,
943,032,584,223,908,683,322,719,437,552,978,529,632,123,811,033,918,316,699,
726,067,473,048,385,575,374,333,514,131,506,361,549,210,519,953,747,563,839,
068,109,998,233,785,390,237,590,925,618,991,953,943,487,843,064,345,727,169,
411,269,892,949,175,716,276,109,516,626,462,872,867,202,919,422,146,205,351,
481,060,232,284,633,710,602,020,380,722,300,375,250,608,406,342,232,536,868,
355,641,053,932,982,248,546,588,021,805,215,788,178,551,180,191,349,829,420,
242,683,199,142,269,974,684,599,971,723,639,720,519,793,190,186,854,678,844,
295,057,840,830,863,719,423,061,431,408,726,963,493,502,024,060,097,988,074,
842,751,393,233,446,444,059,078,187,733,832,941,884,661,414,369,542,493,929,
146,311,080,232,644,047,131,173,443,191,270,793,846,232,776,684,173,180,879,
232,461,316,760,666,542,223,947,175,392,702,042,292,154,448,151,118,332,719,
489,924,444,236,258,337,761,024,911,255,229,498,495,084,191,255,584,293,077,
497,905,097,773,139,029,668,955,392,395,206,491,379,399,437,916,861,871,634,
901,663,957,364,736,341,971,026,619,947,816,995,919,863,819,276,508,412,353,
320,515,031,496,370,706,559,789,203,539,191,091,106,667,180,973,559,683,037,
569,615,377,360,455,551,144,640,822,809,427,135,956,029,118,963,792,127,337,
614,071,863,924,652,032,234,817,697,367,219,624,044,106,187,146,609,204,530,
706,203,109,447,464,393,066,960,969,051,326,530,871,404,721,058,046,400,654,
340,140,925,852,905,046,495,239,819,391,726,636,585,722,838,786,123,933,203,
210,207,101,996,206,378,871,759,396,433,776,447,110,762,477,951,368,211,614,
949,803,284,629,859,604,168,146,241,094,121,529,160,339,176,580,113,388,722,
698,414,297,401,404,489,161,097,496,398,910,843,952,559,632,366,966,527,281,
896,704,645,495,110,123,651,536,674,874,691,524,207,457,840,564,536,196,739,
223,817,608,718,767,358,704,305,405,971,668,992,446,486,527,163,256,210,034,
112,554,847,574,485,303,656,229,444,279,647,184,194,755,970,589,444,776,394,
256,795,159,607,057,662,091,175,595,559,936,877,271,362,600,260,077,617,289,
950,775,371,995,145,476,073,507,850,013,501,051,640,584,253,546,410,356,447,
924,928,009,901,966,027,124,983,275,328,374,453,638,081,748,879,010,500,128,
645,902,173,491,614,488,368,383,807,304,239,412,195,012,503,461,603,908,975,
707,799,025,433,777,411,481,299,612,604,849,901,067,706,083,421,564,895,206,
695,041,581,999,969,583,409,893,446,468,170,656,407,474,267,898,415,250,151,
138,426,008,863,472,729,751,830,378,613,089,705,342,562,502,024,293,211,193,
789,814,858,240,494,945,811,266,934,571,851,061,231,838,893,717,439,036,991,
338,510,975,517,399,730,570,913,399,837,756,283,305,649,874,805,927,060,213,
168,393,926,900,845,850,114,986,307,688,947,562,049,445,350,862,019,667,865,
390,780,646,738,777,266,062,130,506,092,659,335,122,999,819,531,288,429,682,
413,139,364,327,391,525,257,335,659,239,972,218,335,601,952,918,399,888,020,
210,353,907,348,133,910,640,910,705,026,657,101,940,595,610,487,507,001,802,
462,381,953,145,171,394,519,604,477,896,202,640,020,332,451,962,152,998,242,
117,257,427,466,451,225,560,079,008,937,049,886,949,855,104,937,858,834,467,
420,769,885,461,254,801,178,605,719,380,081,925,080,171,769,036,786,689,900,
071,395,083,330,482,325,291,745,332,713,560,636,769,208,091,665,260,153,417,
418,939,809,031,639,592,887,930,962,177,577,887,654,815,186,185,753,173,918,
686,520,324,889,333,231,366,109,979,965,842,200,096,628,468,306,713,276,775,
391,163,585,039,710,501,512,653,671,806,802,710,933,877,643,882,884,035,540,
420,725,405,821,261,642,843,627,478,526,017,406,769,712,387,443,642,391,480,
886,688,364,299,117,681,708,341,959,796,030,461,259,638,174,695,305,719,917,
590,211,034,452,531,251,769,408,111,811,342,501,326,941,531,817,049,096,211,
676,803,473,467,071,304,596,265,783,635,424,915,111,795,098,684,663,175,288,
498,952,539,509,201,809,924,549,975,491,588,528,486,675,045,780,598,065,701,
964,375,608,706,142,145,526,305,935,286,872,953,994,907,317,272,481,792,343,
136,903,725,475,452,385,035,125,142,530,391,424,863,871,374,448,323,140,794,
377,925,374,052,230,897,462,955,883,594,315,941,972,136,985,012,252,435,971,
457,800,396,914,456,266,849,114,842,417,990,242,254,876,538,112,471,791,606,
805,999,715,737,830,167,435,094,624,694,009,390,210,946,039,878,744,810,344,
188,594,860,458,676,058,779,202,482,333,181,103,865,807,170,941,665,787,710,
279,884,472,384,030,877,770,961,656,469,482,270,447,178,095,271,922,182,021,
365,755,903,157,475,921,492,313,597,207,209,481,358,732,190,635,329,064,301,
094,068,167,253,495,028,352,285,985,047,687,362,960,239,429,756,608,564,826,
754,720,053,025,463,626,614,392,461,886,876,469,275,056,104,604,693,942,473,
745,226,237,740,610,970,962,804,085,843,345,560,604,210,296,958,416,110,487,
988,476,180,390,493,661,217,831,660,022,706,326,991,029,447,603,331,403,005,
929,458,866,660,414,319,887,424,106,852,747,812,846,055,321,538,496,139,748,
282,497,564,677,385,684,848,193,939,879,716,226,737,424,747,199,479,854,443,
520,783,374,513,265,829,887,652,909,668,616,378,251,245,532,627,522,893,514,
271,830,238,341,872,501,159,868,224,000,151,137,537,344,252,403,558,786,431,
180,893,590,460,253,698,703,043,541,491,951,316,156,714,049,740,128,413,229,
680,132,964,872,311,413,211,850,416,372,126,993,965,056,435,941,322,109,652,
629,499,410,470,088,824,751,961,144,240,673,050,069,418,949,245,618,374,442,
869,479,293,103,494,982,832,215,408,920,456,400,784,988,253,217,570,073,054,
748,565,417,311,980,516,439,508,116,754,703,266,473,584,017,604,406,118,282,
436,419,194,174,007,174,874,524,252,103,061,575,627,985,629,233,322,534,902,
792,626,691,859,683,501,003,475,885,340,485,926,451,948,743,255,762,469,316,
532,967,439,191,338,068,485,001,947,187,624,254,006,918,362,237,055,507,985,
298,876,506,109,889,190,699,947,831,449,873,569,522,444,052,665,916,616,381,
965,338,079,968,532,990,615,825,599,592,772,847,238,526,730,585,341,653,961,
601,659,294,346,974,693,471,600,176,972,320,759,013,662,763,663,419,896,154,
425,519,577,606,786,965,368,980,488,425,553,410,941,769,896,923,045,263,551,
165,343,163,314,575,647,627,933,524,164,055,659,349,850,249,841,743,087,377,
995,056,063,514,140,885,037,586,572,148,123,243,016,515,706,418,243,838,703,
723,071,502,199,159,106,862,417,860,718,498,518,373,823,783,796,265,256,739,
276,262,096,177,373,077,860,877,179,609,371,050,396,662,867,734,131,402,283,
258,846,506,851,530,116,873,594,411,912,513,790,084,398,384,615,328,037,050,
450,311,979,179,084,239,961,574,496,599,635,617,122,550,011,842,394,994,684,
548,771,102,043,407,935,257,068,650,783,681,488,473,168,239,183,827,060,083,
866,798,834,616,320,547,224,839,579,218,703,372,941,816,016,903,336,054,307,
348,359,394,714,734,841,280,018,177,914,396,158,224,850,316,905,223,249,569,
203,645,992,355,245,060,465,147,333,896,875,510,074,646,254,080,324,080,774,
599,519,139,400,939,598,828,281,421,772,539,504,748,004,695,952,988,165,373,
073,746,584,362,687,294,078,427,197,519,355,152,293,641,897,051,665,212,558,
499,577,935,701,894,356,215,586,850,443,324,111,097,016,894,430,175,356,370,
887,099,087,191,200,831,776,938,679,666,798,872,793,761,665,055,843,221,806,
760,235,921,934,136,839,660,407,670,417,634,702,821,239,830,381,514,237,700,
575,165,339,329,371,466,394,467,542,909,081,745,162,387,157,738,096,477,522,
140,334,881,422,179,558,594,587,108,038,457,306,475,131,095,253,241,727,674,
528,844,581,886,391,164,875,448,111,924,385,523,096,428,290,045,477,687,369,
484,853,659,348,499,065,140,620,263,935,748,635,961,874,374,306,236,199,563,
872,208,202,773,038,064,325,941,759,996,051,836,373,685,583,308,007,364,403,
393,096,665,582,330,560,169,283,749,352,198,961,057,784,363,263,557,985,676,
198,318,852,527,956,093,439,476,406,875,853,829,941,582,596,724,984,876,775,
418,720,309,808,214,337,513,190,194,975,871,136,421,419,642,134,888,872,650,
026,290,446,821,098,324,746,782,333,402,994,908,182,463,732,978,867,897,555,
721,076,946,048,442,779,856,238,438,996,285,174,396,846,928,279,208,356,171,
228,537,458,800,805,425,975,181,882,522,530,044,543,555,964,016,684,683,532,
659,520,811,208,156,336,441,374,473,035,380,095,617,837,500,607,540,062,511,
501,964,507,462,377,993,120,957,101,000,784,473,599,209,824,764,117,729,453,
913,764,617,004,395,101,199,213,934,307,559,342,485,212,892,486,706,598,040,
001,954,570,502,197,091,710,407,442,533,552,681,375,634,336,691,531,573,755,
335,483,573,064,854,510,071,470,495,802,568,778,292,623,511,353,764,142,951,
879,116,022,171,080,141,897,661,126,503,713,438,501,101,664,535,881,252,572,
997,586,392,827,996,994,607,079,912,250,290,028,958,078,877,629,286,786,499,
212,231,415,183,608,171,614,220,811,183,156,040,159,553,425,275,645,172,008,
457,192,283,308,494,376,904,852,614,703,543,792,833,836,402,713,375,976,091,
672,826,887,248,767,823,542,911,323,392,380,157,280,686,884,503,727,583,932,
986,828,868,892,480,000,445,312,466,531,066,391,356,701,539,372,591,326,284,
072,810,325,150,912,825,127,417,009,622,516,488,376,741,559,086,393,270,750,
778,450,390,026,196,454,203,798,293,665,256,731,412,451,235,153,777,183,763,
086,048,005,111,517,220,175,071,539,483,056,625,445,631,659,240,596,951,082,
107,595,457,047,863,828,325,489,177,358,114,084,585,815,422,335,348,591,093,
478,456,659,546,458,460,869,540,767,521,498,523,389,890,522,067,629,191,292,
159,707,901,401,286,403,686,448,954,696,472,366,049,459,994,224,830,504,298,
048,128,646,740,564,927,908,117,963,160,638,272,171,962,203,231,400,822,166,
557,425,536,716,117,483,410,066,298,418,539,967,347,356,065,028,760,381,673,
519,209,750,310,792,314,370,210,655,990,705,723,733,322,212,562,763,098,788,
394,722,157,075,958,865,017,619,049,551,843,980,505,330,138,634,537,138,895,
933,573,608,184,755,821,714,304,584,546,411,700,131,538,451,528,138,253,880,
655,629,690,949,398,112,991,471,970,204,985,594,575,024,553,521,138,524,085,
825,395,531,278,139,539,670,612,017,104,262,729,575,471,165,914,372,436,476,
406,897,407,886,554,675,819,863,129,578,567,708,909,291,819,276,265,622,439,
366,031,006,263,518,216,003,671,896,453,427,416,296,179,429,436,900,625,270,
051,802,776,210,480,277,669,004,371,348,021,530,643,805,325,888,489,077,833,
643,833,753,868,229,786,275,996,399,795,255,073,889,847,460,599,307,890,461,
851,865,779,956,697,534,305,367,346,622,018,240,381,956,127,470,230,952,821,
000,983,437,820,860,704,220,366,989,683,783,149,621,307,548,406,616,105,083,
985,697,480,450,912,970,633,732,309,614,940,308,144,251,828,886,225,813,853,
788,606,543,852,554,683,827,192,743,199,085,463,840,866,840,087,524,627,989,
154,886,346,515,732,207,567,197,049,363,472,004,606,478,999,942,636,773,899,
940,304,043,563,977,224,488,115,674,690,524,213,693,655,347,408,710,896,794,
391,369,678,537,428,613,616,227,179,624,581,481,774,682,076,287,885,750,017,
355,809,459,506,369,710,699,984,636,834,694,201,600,458,024,606,120,639,795,
513,710,450,437,359,204,626,760,731,294,584,094,295,312,985,764,471,506,219,
194,446,045,231,062,612,791,649,275,220,485,925,156,310,735,637,538,921,206,
509,304,573,683,511,451,314,382,387,774,726,134,153,297,357,210,263,359,962,
291,658,859,101,415,661,908,609,225,263,081,717,118,709,954,409,948,714,481,
441,422,311,965,885,261,824,139,639,655,824,975,576,231,527,461,972,027,883,
233,607,299,454,622,150,094,578,485,470,897,872,183,679,469,241,225,982,200,
669,306,814,637,672,960,231,449,211,480,505,530,359,110,782,643,279,762,353,
278,728,404,710,598,401,701,577,236,229,291,625,470,791,391,260,373,294,488,
305,630,207,643,490,801,839,546,097,035,666,517,584,742,438,259,841,520,730,
812,466,487,465,207,745,712,965,429,033,931,996,999,597,078,426,600,417,899,
168,949,002,852,280,196,240,347,645,106,151,094,819,882,385,076,145,496,039,
570,777,469,834,003,179,485,885,304,599,375,224,493,857,271,186,902,169,333,
540,335,855,350,234,770,613,906,538,112,562,266,778,139,032,533,885,976,920,
677,926,717,566,998,423,406,872,370,784,519,708,519,149,782,557,005,606,989,
759,552,724,728,024,394,069,818,492,447,629,151,040,001,238,867,241,407,921,
429,755,285,354,989,401,306,219,254,192,291,867,935,976,646,421,806,549,987,
911,521,610,237,329,251,017,478,446,139,063,765,633,002,913,914,853,688,020,
569,534,498,142,406,982,806,145,446,821,615,428,275,183,574,070,284,390,137,
747,122,055,631,990,286,327,677,289,510,277,035,701,395,341,068,849,276,869,
682,867,074,013,373,863,637,862,484,885,272,395,969,858,233,256,202,025,148,
216,451,328,404,751,625,444,159,992,484,278,808,076,389,787,646,309,089,777,
941,313,640,422,897,882,926,895,263,564,110,932,520,060,882,320,210,576,851,
867,199,279,856,619,944,668,255,583,128,132,208,252,752,166,050,545,510,741,
588,904,048,044,260,036,433,043,131,550,977,621,783,366,832,803,051,636,167,
832,397,490,632,223,457,534,166,624,111,537,777,046,422,865,810,593,042,763,
925,242,427,577,556,776,763,131,561,041,428,571,790,254,097,082,588,719,693,
672,960,971,210,617,731,971,823,275,616,540,915,159,344,830,339,362,632,702,
635,438,133,745,495,110,740,216,720,903,861,443,812,537,699,772,099,455,040,
892,189,751,004,024,001,207,178,019,533,796,469,350,681,251,276,342,602,706,
504,121,518,636,442,195,381,338,381,378,618,929,141,044,236,736,421,532,121,
329,155,238,247,688,257,977,939,674,361,190,680,716,039,256,615,546,120,250,
702,562,931,255,864,821,753,001,750,854,299,303,930,229,811,871,053,784,162,
451,203,931,977,175,929,202,471,354,712,425,935,296,477,343,428,026,131,144,
363,627,823,613,902,041,419,825,684,533,840,245,704,128,296,626,697,208,964,
330,675,424,084,244,569,410,299,986,027,756,333,950,886,778,776,902,775,717,
472,532,979,716,934,763,895,825,472,287,829,984,158,820,468,687,085,762,601,
642,613,391,873,663,115,903,950,419,877,799,317,551,871,206,598,268,213,742,
059,758,043,213,255,056,132,707,263,308,345,323,900,365,144,397,722,938,210,
717,641,854,373,277,715,133,823,367,802,428,193,254,285,369,006,128,072,293,
847,255,508,328,779,906,217,085,664,971,034,434,359,246,072,774,255,255,209,
306,267,949,032,092,177,339,479,765,998,459,846,417,373,336,905,002,042,205,
135,153,861,571,666,708,361,703,105,938,714,835,160,950,240,305,006,615,571,
306,901,193,072,166,541,554,668,978,219,892,257,776,404,951,203,963,949,896,
226,706,500,887,575,493,676,399,089,221,038,204,413,539,272,530,406,765,566,
414,723,716,949,565,057,484,187,041,483,966,318,473,924,767,521,633,461,765,
834,651,977,848,952,353,285,243,442,542,788,877,452,621,302,082,264,814,420,
111,944,202,067,235,869,094,653,241,458,678,289,786,873,834,888,859,692,432,
153,710,368,910,619,475,523,942,517,691,454,895,772,552,554,921,401,390,571,
049,548,203,893,802,777,974,921,291,450,835,914,071,502,956,739,152,417,011,
105,763,230,708,209,662,243,225,635,864,112,165,761,791,763,553,165,466,797,
543,604,438,647,434,921,358,742,467,465,385,973,777,150,279,428,926,779,621,
684,676,350,759,064,598,138,290,592,417,099,675,746,446,970,268,186,463,636,
275,193,461,025,080,622,972,733,871,983,055,209,377,542,114,952,614,931,676,
539,859,016,474,654,276,503,751,569,055,989,600,688,745,187,214,632,507,561,
534,693,018,910,444,637,662,873,999,429,489,592,566,028,652,183,031,606,231,
202,368,211,291,236,957,615,841,764,900,514,328,122,678,622,520,210,209,451,
568,976,588,243,120,560,202,929,270,964,732,426,276,034,669,338,781,477,070,
270,994,590,110,851,886,117,550,050,202,472,749,342,633,593,600,020,615,269,
124,873,643,294,039,099,701,201,769,497,893,209,540,598,893,651,560,076,568,
667,491,302,377,503,255,112,851,560,719,817,170,136,617,122,030,842,686,289,
994,578,154,130,446,904,730,122,382,564,335,252,728,384,664,595,124,081,945,
851,215,265,237,488,543,090,397,455,543,326,667,909,426,142,217,391,997,833,
705,691,675,963,974,194,648,816,861,524,516,693,378,088,670,050,889,956,433,
358,845,225,303,257,091,821,521,639,502,530,521,436,806,703,530,202,401,216,
966,814,063,486,367,186,901,797,432,097,852,910,199,542,658,933,379,041,779,
507,626,286,786,295,083,798,985,761,199,699,752,417,811,922,599,419,467,269,
405,739,770,930,268,847,884,839,076,946,420,483,927,386,462,492,768,254,666,
948,062,485,799,395,786,411,467,711,966,031,116,135,274,280,614,337,033,991,
391,752,603,892,735,100,058,149,266,029,805,688,268,699,883,908,985,225,007,
431,008,430,717,264,403,060,445,017,999,060,083,735,940,780,250,636,515,325,
709,498,865,572,892,448,143,664,619,587,588,214,160,225,395,160,191,302,618,
509,776,849,485,730,696,221,620,402,104,658,589,946,289,255,574,595,672,338,
974,850,246,963,984,364,527,030,131,250,936,241,590,129,947,515,051,351,203,
729,036,850,545,890,091,461,171,831,060,502,436,271,396,103,489,823,617,082,
912,154,859,059,310,027,345,699,091,854,320,713,380,799,833,834,360,147,344,
649,126,272,559,348,075,149,235,634,141,914,652,482,107,065,108,419,362,331,
239,651,154,740,655,395,969,962,589,771,474,002,807,055,706,737,322,017,421,
802,784,913,570,464,557,409,605,668,718,668,626,846,502,659,824,501,052,509,
628,319,814,409,844,957,437,480,097,243,552,399,268,041,258,606,642,980,679,
458,156,684,000,326,563,912,059,412,819,766,834,402,536,545,959,505,260,360,
642,570,693,463,152,126,012,256,760,556,108,938,922,457,836,084,898,102,963,
796,891,176,693,557,527,425,141,129,986,317,172,737,164,164,118,859,576,540,
756,101,920,061,997,092,385,812,065,524,793,114,542,175,342,432,988,833,480,
238,632,490,137,295,052,769,112,709,673,794,982,755,710,135,554,436,604,253,
593,894,097,454,091,571,003,983,714,859,873,811,753,197,059,200,162,679,309,
072,639,400,442,105,599,940,665,468,484,800,127,046,802,944,659,948,258,784,
609,613,353,648,854,191,105,782,859,751,727,993,495,747,139,898,035,406,001,
580,705,946,665,452,280,822,256,648,806,818,366,540,895,087,307,986,784,176,
170,835,013,989,307,120,020,292,981,342,349,925,395,217,367,057,940,712,247,
382,562,301,971,760,484,650,178,918,724,729,361,664,255,521,227,348,540,932,
910,279,648,613,891,641,542,511,663,040,850,054,028,468,234,787,201,162,596,
992,785,319,710,455,382,784,337,801,740,922,762,788,003,597,040,948,978,724,
310,364,765,315,881,352,144,960,461,099,528,339,799,607,434,866,264,009,570,
894,614,801,439,899,929,145,863,386,200,384,239,272,130,168,805,901,325,941,
987,470,768,778,182,044,522,892,835,707,637,878,445,534,658,319,618,372,159,
707,946,116,891,515,499,722,809,779,326,878,620,398,886,205,308,747,734,160,
374,310,684,106,276,418,492,258,812,625,677,830,937,983,247,064,545,719,931,
483,392,533,824,872,039,232,868,722,330,521,411,800,366,422,916,431,494,031,
897,198,211,563,734,343,034,309,881,482,406,790,485,164,300,324,395,895,914,
975,615,568,291,873,267,869,091,391,788,495,809,115,416,815,845,062,214,403,
340,646,290,187,414,857,436,352,388,520,668,523,525,585,840,555,186,246,347,
715,299,454,003,387,446,130,489,884,857,255,648,704,046,962,518,015,869,804,
639,306,477,683,265,627,550,658,143,458,742,210,163,248,755,598,804,988,499,
835,072,597,961,060,613,240,336,132,639,442,665,282,941,887,876,216,031,003,
530,257,964,568,244,805,196,134,889,617,117,381,711,213,400,041,383,068,303,
359,367,737,812,024,593,763,343,316,116,548,569,524,681,336,494,233,937,544,
256,520,468,916,892,307,042,766,798,624,042,334,401,330,472,078,313,564,365,
014,645,059,394,393,943,578,977,197,633,379,400,317,263,767,655,484,115,143,
293,567,344,617,114,931,262,548,122,033,179,277,750,335,394,339,813,701,277,
373,653,779,968,630,003,740,489,485,673,204,884,021,118,332,635,311,278,245,
068,132,626,358,395,925,677,948,865,299,867,789,202,553,274,648,275,470,676,
867,842,417,663,870,425,246,095,769,374,243,456,422,967,624,428,064,214,536,
892,609,569,032,691,348,987,147,986,927,615,626,908,000,087,259,573,225,890,
232,431,135,833,144,384,208,286,368,984,928,600,959,318,251,404,609,897,240,
969,200,424,136,451,831,256,750,153,418,536,375,983,100,982,973,053,501,903,
512,692,818,139,919,532,289,289,255,429,233,303,207,025,774,082,267,177,042,
883,269,258,576,823,098,166,952,363,631,578,328,701,068,772,537,133,131,768,
920,710,899,673,551,723,934,646,543,735,006,952,672,582,901,816,479,937,497,
047,832,223,136,626,181,495,723,645,699,506,755,695,211,301,353,632,919,743,
910,320,463,888,221,328,102,597,030,920,625,155,561,805,348,065,315,246,927,
590,956,874,146,399,596,319,194,004,830,416,493,444,220,225,481,819,510,583,
655,833,752,405,878,350,158,762,264,553,023,895,097,670,595,604,005,277,875,
284,092,505,768,818,510,646,431,573,669,574,237,886,149,107,420,144,517,908,
545,007,562,547,331,963,721,086,085,719,670,611,457,201,256,452,211,599,729,
580,582,188,195,118,918,436,676,664,868,137,203,854,607,230,478,886,265,043,
648,947,617,239,152,472,727,879,787,800,013,987,860,537,522,098,162,453,578,
853,448,556,125,937,256,783,079,034,271,554,088,368,724,932,142,564,022,136,
886,021,677,144,952,330,277,407,284,336,691,181,900,083,179,627,699,708,935,
355,285,212,875,833,505,748,294,821,459,122,666,726,871,605,659,427,399,916,
942,838,825,856,587,367,027,127,459,607,792,182,037,865,865,340,956,278,848,
456,697,879,941,540,239,886,723,674,395,149,839,276,750,319,867,908,211,680,
464,441,938,099,071,400,202,381,772,621,547,949,668,028,413,458,908,027,385,
518,870,200,853,753,917,818,788,082,858,129,537,410,851,611,772,000,820,196,
705,856,480,372,561,335,850,787,612,960,316,585,664,108,334,958,003,752,026,
281,130,245,597,567,857,475,043,550,424,785,714,520,555,119,827,745,831,645,
338,185,611,544,533,524,665,666,900,593,895,795,157,704,618,337,284,473,920,
231,138,084,868,563,990,916,427,393,684,957,224,788,421,776,306,491,542,765,
013,884,633,254,809,818,200,744,557,625,656,021,896,201,386,541,199,008,014,
605,652,208,786,656,966,945,011,221,450,670,573,560,289,529,964,910,027,919,
850,567,082,559,466,961,277,574,354,578,287,743,236,132,975,323,368,835,265,
138,853,073,037,040,751,541,633,254,646,115,212,788,717,777,075,237,882,146,
468,715,779,410,250,943,868,310,279,652,467,404,369,078,915,209,256,720,851,
126,005,136,400,970,792,819,902,527,277,067,157,449,690,519,868,683,650,548,
585,565,665,766,893,003,121,078,203,236,335,226,038,558,782,976,125,137,779,
331,018,653,739,004,806,558,929,379,255,627,912,529,159,005,974,290,594,214,
368,760,329,318,308,397,613,253,688,356,001,987,653,437,466,452,538,754,799,
369,630,055,946,129,963,254,566,684,988,687,509,823,268,859,153,947,749,581,
620,447,958,130,215,156,320,349,711,427,599,039,545,612,947,416,687,171,206,
693,824,642,464,716,041,430,447,804,948,019,116,414,385,929,768,093,190,048,
799,976,724,424,613,940,765,160,384,404,505,969,682,794,326,817,969,806,960,
651,394,300,355,056,219,442,706,171,526,455,024,800,609,694,188,149,664,842,
442,076,927,735,005,401,764,233,801,236,427,514,355,614,207,232,547,752,527,
316,503,042,056,750,875,617,226,784,895,356,749,674,842,278,662,303,205,550,
777,189,813,714,296,579,866,157,925,952,198,153,351,292,380,438,899,855,964,
911,555,079,482,827,084,464,527,599,755,057,449,186,242,101,652,769,366,113,
539,057,434,836,869,033,697,341,177,305,090,846,865,996,484,640,224,416,927,
746,869,655,765,875,200,217,062,194,424,758,523,360,194,592,929,746,814,221,
916,497,700,067,598,310,252,042,492,377,039,939,402,598,708,190,820,585,058,
159,850,974,973,782,391,265,639,726,026,675,128,249,711,896,022,162,055,393,
271,846,279,577,753,601,154,402,335,473,345,142,293,997,381,915,781,557,088,
360,309,705,890,744,480,676,120,366,224,179,967,601,651,291,477,036,159,349,
184,202,974,676,838,826,095,460,106,107,775,024,818,565,930,659,478,833,176,
963,760,891,937,622,283,991,375,889,412,637,277,362,934,480,043,705,674,933,
710,845,344,107,279,871,012,608,351,655,791,147,268,574,628,960,407,004,607,
243,536,233,248,105,709,800,820,188,660,580,547,113,379,726,660,880,974,624,
888,260,383,123,629,642,212,677,293,005,002,656,788,479,210,620,951,525,230,
676,059,573,221,164,265,349,762,488,738,959,275,592,502,224,153,804,457,189,
627,944,497,010,442,141,678,513,068,427,488,183,185,330,087,492,364,200,829,
558,661,597,645,508,158,090,255,393,584,531,356,745,457,600,720,785,231,014,
911,944,889,663,382,999,385,306,891,960,530,518,616,553,116,224,811,091,450,
046,100,947,868,734,587,686,049,172,665,149,138,058,345,402,279,125,166,242,
009,598,147,539,273,085,927,369,367,780,236,759,471,252,663,821,230,425,859,
555,277,069,579,949,530,804,309,487,115,558,961,795,028,471,173,229,897,293,
027,920,911,486,948,683,004,800,096,853,820,291,848,988,308,562,366,016,544,
505,878,163,929,115,733,203,538,748,163,941,356,007,406,585,309,689,868,687,
583,841,387,473,967,347,180,596,753,418,297,909,112,243,441,700,642,851,430,
535,077,508,999,696,211,090,880,614,851,315,884,791,855,307,161,280,616,628,
787,402,260,646,894,852,346,321,911,847,814,748,403,752,905,918,657,173,300,
990,548,482,973,074,528,073,740,456,757,219,321,010,601,101,643,089,528,225,
912,309,760,463,787,895,718,923,297,872,772,427,022,724,327,605,331,933,592,
049,616,192,779,578,356,859,640,161,582,227,005,473,296,026,608,957,602,031,
374,206,049,072,463,449,799,462,566,469,600,273,049,307,518,092,770,937,230,
693,012,783,260,990,400,428,757,201,859,848,435,785,802,333,806,568,255,009,
000,858,158,286,669,918,946,609,352,868,254,486,373,612,685,676,771,146,463,
062,903,938,389,305,135,174,038,356,434,417,719,230,690,365,392,149,994,797,
863,349,849,679,769,063,887,481,045,072,817,474,890,290,398,265,611,585,385,
120,000,936,311,361,224,880,784,676,733,579,142,824,725,556,135,310,678,026,
100,812,888,402,092,112,811,804,512,647,207,887,004,836,533,384,166,344,802,
998,545,044,603,335,566,550,102,804,953,945,517,009,850,496,378,128,517,603,
532,617,878,076,280,599,198,381,579,771,077,401,091,126,747,806,320,781,886,
159,533,852,332,944,353,560,848,652,118,951,618,290,119,229,288,543,453,456,
341,339,306,486,332,943,839,492,643,815,723,028,307,749,483,090,732,224,230,
914,718,496,414,863,775,442,915,678,043,644,682,401,303,930,208,995,283,767,
553,492,533,626,039,187,215,065,262,533,354,801,804,030,837,940,087,579,374,
169,621,406,084,258,395,238,702,332,544,011,109,357,983,403,640,100,676,902,
245,434,442,691,094,892,683,307,954,370,882,850,648,958,093,288,942,370,697,
741,709,255,555,038,119,660,476,332,042,283,091,599,793,739,658,190,180,949,
502,388,405,350,154,568,678,781,852,348,497,907,435,994,762,126,413,428,817,
097,099,175,528,464,800,772,155,072,096,661,392,450,983,543,543,856,588,699,
641,141,403,123,426,934,498,125,546,195,095,096,357,223,564,966,358,271,530,
194,674,441,252,223,279,984,958,617,280,562,527,269,052,311,192,833,006,746,
367,079,249,786,921,921,617,101,853,253,768,249,910,483,013,911,444,656,488,
620,156,400,118,001,197,493,071,223,392,446,194,040,726,454,328,672,143,945,
289,798,307,927,465,370,892,424,008,375,067,537,033,898,442,696,298,396,096,
546,738,533,980,484,371,575,485,130,993,512,838,677,754,556,791,667,448,923,
826,291,702,874,418,293,640,665,805,363,955,055,055,380,259,875,387,327,285,
020,038,312,696,024,715,074,380,790,672,763,463,368,499,605,954,991,482,415,
546,622,033,293,415,395,249,829,646,121,549,822,206,824,894,433,133,474,848,
961,394,362,623,694,614,886,619,990,807,697,769,029,527,949,923,066,375,404,
107,518,071,918,554,167,205,415,883,520,517,607,921,724,974,286,511,513,024,
245,638,102,605,481,206,002,373,842,059,994,881,283,023,566,230,282,387,213,
494,916,173,230,649,144,876,351,676,974,422,208,212,129,939,205,611,726,466,
330,515,995,458,268,551,397,576,999,817,762,061,695,660,838,677,203,246,991,
207,021,654,573,987,351,042,623,843,773,646,531,552,412,871,544,197,196,254,
886,483,809,330,891,198,630,204,536,588,202,032,646,450,531,714,127,362,576,
271,973,215,562,126,826,375,093,668,772,605,728,311,083,575,374,019,101,818,
789,961,391,598,656,862,890,260,537,758,433,290,625,243,640,563,426,276,519,
635,820,796,358,471,884,638,336,195,471,085,472,853,209,868,733,016,210,083,
679,045,847,453,546,043,761,849,062,002,191,939,146,416,751,234,273,068,173,
591,406,783,026,798,005,532,968,114,957,039,279,860,738,457,809,411,775,989,
725,630,083,757,864,103,066,254,524,530,712,520,925,575,672,717,004,902,295,
221,220,296,849,635,244,208,722,580,709,726,694,140,019,584,195,299,907,135,
796,696,156,851,745,261,451,290,984,393,276,797,100,117,196,556,477,024,789,
806,026,422,936,756,657,993,415,903,499,568,952,798,379,962,601,558,667,889,
611,780,959,013,087,080,835,175,250,144,007,153,850,028,034,507,713,958,055,
592,599,629,044,461,578,842,799,950,172,450,854,797,642,883,819,999,355,618,
569,041,283,094,642,616,054,939,246,743,732,426,273,468,281,837,339,814,159,
109,744,330,420,958,059,352,393,076,007,554,390,089,725,022,506,732,965,756,
178,461,055,718,628,041,219,583,909,978,628,800,410,686,320,374,215,645,485,
176,199,201,062,309,688,186,695,266,931,360,613,233,639,249,403,729,582,513,
667,468,221,006,670,574,183,086,951,872,686,517,271,638,535,795,124,220,214,
086,682,348,156,397,372,262,125,621,928,612,065,184,085,461,777,667,311,019,
975,518,543,932,786,583,588,500,711,654,467,645,047,113,500,693,074,278,388,
805,051,092,365,810,450,583,714,945,688,197,154,174,121,669,466,949,064,037,
333,713,186,689,701,973,855,111,232,625,381,072,204,312,274,257,922,242,883,
249,972,021,831,588,267,925,159,795,059,432,135,314,366,469,972,714,258,349,
603,280,124,421,290,263,413,653,166,502,547,860,745,357,952,987,918,443,440,
385,676,626,555,430,340,989,849,924,119,246,291,103,584,454,605,780,766,274,
989,886,498,466,301,085,927,584,384,408,854,520,048,586,816,957,161,689,979,
804,234,726,817,116,645,928,898,302,952,633,237,599,667,810,165,958,377,542,
617,920,504,453,353,129,679,436,752,016,527,749,693,654,507,022,012,810,788,
291,105,941,395,602,185,682,790,510,484,253,431,956,530,768,994,222,468,798,
527,808,546,147,388,551,574,036,761,345,635,960,926,591,898,169,549,787,803,
317,694,001,851,385,173,251,266,816,022,088,242,513,639,890,539,898,199,635,
006,454,444,650,659,212,943,465,942,503,445,486,582,983,098,884,735,974,655,
281,251,452,256,292,459,580,580,884,111,157,495,356,993,296,772,944,918,234,
224,618,660,884,366,165,553,390,085,670,679,585,552,250,381,210,584,514,164,
538,546,090,380,862,385,372,419,266,761,705,864,888,959,275,115,326,200,518,
733,629,878,636,615,854,182,188,496,840,489,582,509,658,715,032,138,415,287,
152,706,687,529,144,919,760,249,228,792,047,036,525,456,280,501,789,691,923,
325,643,638,814,827,411,660,428,904,264,992,414,681,651,327,834,892,127,966,
132,961,844,619,098,312,166,741,059,410,034,990,364,537,535,755,739,352,969,
031,486,684,731,851,093,919,015,467,851,497,555,510,312,836,166,492,087,812,
220,995,691,979,582,580,339,000,662,543,617,173,973,122,886,320,504,112,111,
882,724,654,754,371,079,655,118,657,734,202,765,758,897,685,037,792,447,755,
580,552,596,023,747,648,706,171,581,817,721,489,727,467,683,446,905,239,902,
363,203,475,958,217,067,637,884,480,126,636,497,437,868,954,556,688,079,747,
119,649,456,559,217,381,172,856,564,316,537,619,769,046,434,009,889,664,628,
258,378,962,385,278,013,803,236,654,898,961,288,648,961,125,757,983,784,911,
688,457,900,275,424,084,402,423,806,844,958,093,622,281,633,347,638,517,853,
472,964,562,317,428,315,342,126,722,019,400,141,585,976,136,964,362,467,940,
465,727,627,478,753,737,160,185,700,584,579,454,350,850,970,191,492,524,953,
539,565,729,833,155,307,159,377,985,106,272,200,311,840,506,250,195,231,849,
253,685,280,472,224,475,191,348,102,366,178,938,143,559,615,375,275,947,076,
355,459,395,064,544,981,595,559,253,936,826,285,037,545,339,065,274,081,837,
285,878,283,510,818,039,448,253,765,896,727,982,469,874,108,279,136,288,726,
043,953,682,982,399,185,164,917,807,936,315,918,518,543,099,179,815,122,859,
692,040,193,943,424,539,009,472,987,704,401,334,828,452,828,364,380,708,047,
323,050,372,189,205,696,886,749,925,710,192,973,441,319,690,438,034,927,218,
988,602,015,292,272,181,424,308,048,520,893,190,615,751,689,766,748,454,169,
217,515,261,516,518,771,860,064,308,761,384,219,284,938,771,544,793,545,773,
705,253,240,997,580,781,843,287,247,084,683,172,006,872,932,557,914,998,869,
953,316,553,329,989,518,992,433,767,671,550,417,293,925,104,120,910,362,840,
093,100,048,094,048,096,436,941,969,670,028,869,221,768,976,751,051,796,901,
708,982,121,523,588,581,775,260,691,733,476,838,669,941,028,504,695,019,596,
511,229,910,678,812,764,102,857,241,553,449,764,303,944,210,300,855,909,796,
319,567,375,589,443,133,439,441,076,168,575,417,684,186,176,136,776,280,244,
787,077,202,246,079,084,451,395,126,383,251,641,257,646,759,755,700,072,916,
352,687,701,985,079,371,738,351,043,305,200,517,130,163,931,796,872,595,737,
926,383,295,413,247,413,905,526,684,307,640,136,209,393,354,294,550,043,706,
012,120,192,956,885,011,997,006,319,465,353,427,083,270,107,172,678,829,185,
535,984,861,839,700,940,458,939,139,187,191,219,614,629,750,170,855,341,351,
596,892,048,992,749,393,777,934,714,453,220,116,098,066,777,984,510,224,880,
688,700,103,071,121,386,523,308,984,034,817,148,476,302,785,410,768,066,575,
437,923,773,058,567,809,093,530,511,151,513,317,123,272,684,168,377,432,725,
340,538,565,962,252,381,258,005,209,453,443,012,811,748,380,857,911,319,866,
230,272,290,381,216,424,730,962,547,302,332,641,815,397,252,833,500,270,030,
011,161,466,074,831,262,435,737,610,519,045,518,443,638,243,555,238,733,000,
273,178,252,621,879,044,413,156,924,019,233,197,368,057,419,412,328,258,553,
472,214,037,241,368,399,222,769,703,153,345,525,962,304,398,010,404,768,724,
062,393,577,513,649,293,118,101,705,126,439,569,626,217,196,883,533,235,839,
442,857,839,420,712,584,041,890,950,406,299,804,154,265,124,340,578,136,626,
365,011,633,612,582,927,662,837,876,654,194,767,426,689,569,029,877,269,329,
266,607,086,623,540,173,440,590,127,822,526,641,825,344,810,478,201,473,245,
448,236,119,702,705,286,797,776,230,731,199,417,734,211,019,633,727,783,131,
484,993,326,729,652,382,621,915,318,647,341,426,443,006,763,783,875,095,248,
438,634,037,604,208,839,576,144,271,670,283,021,162,325,414,368,107,163,917,
964,306,773,588,388,799,755,444,702,459,232,789,302,944,775,684,107,289,946,
868,282,583,660,612,969,401,556,582,544,468,212,671,703,505,444,766,443,057,
933,858,339,649,948,101,305,561,205,745,103,457,464,944,180,965,589,142,014,
465,375,575,321,169,526,516,373,299,307,213,327,009,547,892,764,128,533,431,
544,031,351,595,038,355,244,069,686,549,339,406,298,097,257,155,701,597,620,
767,268,791,395,894,601,729,034,484,165,740,728,796,987,643,659,831,993,910,
426,948,826,498,158,744,765,701,752,464,467,892,236,931,980,109,486,178,789,
679,145,962,687,959,567,056,316,578,123,813,956,114,701,849,701,849,878,990,
064,093,785,521,808,212,856,589,711,013,024,254,797,261,419,778,435,437,086,
683,871,366,402,858,151,985,481,484,132,195,302,937,493,892,107,043,283,690,
019,592,447,117,052,372,206,062,493,621,699,027,734,484,290,790,083,496,835,
581,087,440,664,291,626,644,640,053,074,672,139,516,628,514,855,306,584,338,
448,400,032,839,895,353,119,132,822,464,815,799,206,766,792,098,157,262,543,
195,677,968,169,792,139,436,509,384,082,618,777,976,886,983,347,468,978,549,
342,603,657,966,111,506,858,580,533,760,349,924,026,666,825,437,713,540,366,
860,710,137,907,785,749,422,949,608,150,298,961,285,376,671,664,125,358,966,
711,828,810,264,265,157,947,643,851,679,338,102,188,112,004,330,729,881,892,
487,126,032,395,091,462,174,900,244,389,194,484,281,590,468,961,254,918,720,
132,564,486,268,505,912,386,995,003,727,201,145,228,396,967,990,299,819,180,
980,590,214,625,692,088,558,946,234,344,827,556,450,581,692,434,897,489,009,
108,865,775,615,685,980,994,522,667,534,348,001,489,813,956,574,984,264,394,
606,396,032,614,600,153,262,986,176,324,585,189,514,250,374,621,994,558,529,
133,899,347,967,635,029,803,511,793,620,593,427,334,313,854,328,533,570,389,
834,513,909,918,448,558,335,464,831,341,272,412,852,797,476,405,278,135,885,
227,817,280,145,317,301,511,359,256,505,802,491,027,226,179,101,406,552,831,
584,494,026,557,912,343,149,736,296,059,130,578,556,068,033,546,106,640,673,
526,211,712,905,734,159,771,184,936,198,830,100,363,574,259,289,151,757,342,
787,354,274,072,856,952,525,557,534,512,422,371,155,945,757,063,091,866,369,
657,422,530,717,767,736,349,832,920,801,899,967,773,072,614,881,157,546,302,
935,313,985,239,014,463,661,289,547,160,453,777,385,897,795,788,216,758,123,
737,958,789,945,651,239,370,625,174,500,015,425,334,262,412,242,353,620,773,
517,807,253,004,241,120,231,796,850,479,679,888,973,376,114,214,655,244,891,
684,539,362,369,231,082,682,971,019,041,511,598,457,437,099,174,380,431,101,
562,878,656,476,632,062,584,248,960,650,860,299,022,252,419,430,506,760,439,
728,373,522,276,211,774,961,874,554,903,602,503,500,882,351,609,867,197,987,
127,996,557,689,230,980,701,229,480,464,984,938,811,787,970,441,530,817,330,
918,399,935,534,004,265,292,902,518,042,126,456,627,588,555,611,689,748,859,
240,238,350,618,106,919,170,291,031,923,685,408,757,935,827,033,912,417,508,
782,857,311,507,537,037,329,945,787,762,877,266,282,028,946,151,310,037,975,
086,762,279,022,556,149,091,146,941,686,039,558,028,254,437,238,719,828,676,
228,515,321,026,011,629,332,552,770,847,582,437,827,699,033,807,600,986,332,
326,589,000,955,275,938,722,422,628,593,555,181,135,903,417,771,231,764,816,
196,545,370,515,317,017,030,180,971,993,423,169,447,555,587,748,603,563,650,
513,234,349,201,395,064,901,991,380,613,130,636,859,799,671,725,820,844,065,
180,786,287,349,941,509,333,847,669,967,547,958,883,695,311,494,202,969,394,
738,327,675,370,301,259,301,767,685,801,580,848,807,312,306,544,820,992,575,
523,774,115,985,803,263,004,872,726,739,403,697,589,354,916,741,207,619,040,
386,711,325,756,978,469,512,457,138,254,180,823,821,143,866,923,354,664,235,
313,233,855,723,990,097,106,663,958,684,247,608,224,388,807,238,738,335,372,
052,613,886,107,876,241,586,456,429,571,818,938,227,642,683,518,642,476,314,
524,989,485,321,315,349,195,446,023,767,026,316,606,742,461,196,689,722,191,
329,935,443,168,822,248,250,829,013,376,098,220,468,607,274,798,226,077,716,
687,771,587,543,016,085,593,121,779,824,604,280,111,831,215,793,209,177,487,
497,458,746,767,923,428,407,250,374,417,234,271,882,139,302,633,094,432,288,
657,487,844,522,664,818,371,755,441,090,782,456,160,226,487,324,285,556,537,
606,248,205,782,046,527,218,258,499,368,334,266,731,213,763,108,890,590,350,
884,434,085,982,808,190,483,741,575,757,700,954,059,595,888,314,776,835,232,
747,357,856,793,577,236,586,097,829,046,173,351,238,823,004,822,918,859,479,
420,687,111,855,823,476,073,399,573,073,527,140,744,768,775,575,778,085,932,
633,801,155,590,596,462,885,076,199,741,175,003,674,665,953,099,029,152,237,
755,029,748,841,161,641,521,765,590,562,040,832,918,125,021,764,150,599,694,
341,570,139,347,545,988,012,542,713,667,014,160,984,076,131,671,409,427,060,
454,562,633,076,064,100,672,589,850,166,082,091,235,613,421,223,014,501,850,
585,881,907,380,076,646,654,279,138,630,891,401,630,716,328,560,866,537,462,
199,193,603,472,676,490,050,939,952,174,284,049,895,619,936,309,389,548,235,
314,392,052,746,318,306,406,636,917,497,954,803,218,117,584,900,951,861,421,
800,641,403,563,391,001,684,873,300,632,301,036,868,148,566,379,781,134,079,
695,831,427,235,508,277,509,943,936,514,574,332,783,575,930,735,811,326,061,
214,876,460,575,964,721,415,614,682,797,065,733,190,532,018,916,294,810,216,
102,271,586,428,563,749,811,379,428,165,022,348,730,468,362,090,321,742,934,
303,064,191,143,195,946,087,340,399,014,315,897,356,557,068,820,618,810,559,
837,855,826,869,171,346,275,139,648,887,152,676,256,057,819,879,307,852,201,
676,187,852,453,029,740,532,755,839,189,119,371,029,225,016,591,861,209,455,
394,931,119,321,204,916,954,363,216,156,228,434,155,533,717,139,895,992,571,
887,661,047,577,591,764,440,811,740,233,588,865,866,156,295,483,381,136,555,
150,717,811,058,708,541,163,545,217,473,082,278,206,573,444,409,335,648,567,
419,976,737,102,474,650,983,552,959,340,920,956,547,533,224,949,219,469,558,
683,095,698,001,425,450,621,711,846,903,755,823,718,726,960,513,135,730,223,
780,729,326,878,009,396,470,361,699,159,017,343,450,177,388,588,515,828,505,
509,425,465,803,884,805,515,321,782,469,548,036,786,364,522,556,500,077,369,
629,723,676,377,797,796,647,262,969,503,467,949,435,951,987,053,223,255,965,
969,066,406,048,263,764,150,773,299,268,859,314,836,739,782,428,316,497,414,
985,607,524,698,859,124,402,681,467,560,322,497,542,121,530,894,494,020,544,
020,924,209,667,899,869,099,017,479,684,027,270,012,747,186,131,248,448,892,
893,279,284,254,651,683,288,844,924,524,108,178,523,930,731,733,610,300,203,
862,715,868,826,562,471,924,799,495,803,416,012,984,845,747,582,458,461,560,
665,922,461,822,628,179,560,126,326,366,578,438,526,798,833,605,830,361,783,
025,990,922,055,383,553,071,088,834,110,101,094,715,606,441,960,963,889,076,
145,729,629,260,276,634,348,003,935,242,250,846,429,989,173,745,191,475,595,
692,198,832,495,133,296,414,864,282,584,701,419,841,880,752,256,915,127,795,
773,397,412,072,818,215,993,759,686,241,078,244,787,202,136,810,367,769,669,
163,235,159,853,935,167,898,948,304,681,942,105,608,870,512,749,943,100,925,
938,659,301,123,145,134,984,281,030,545,442,822,278,404,397,721,874,942,133,
571,787,819,244,616,456,605,557,303,034,048,732,970,514,070,033,053,144,929,
247,886,072,739,303,500,708,815,676,910,499,187,372,515,036,029,673,213,561,
054,081,991,041,625,204,152,769,878,926,651,405,309,505,457,099,105,461,735,
199,143,916,823,456,583,579,241,587,260,251,596,778,590,031,200,062,600,950,
849,473,121,088,267,334,839,766,767,746,301,328,939,471,535,604,115,581,863,
483,780,694,554,809,721,933,518,646,256,371,665,931,968,689,164,792,345,593,
378,295,151,378,811,871,597,793,196,588,126,537,294,739,554,755,770,614,516,
799,892,567,800,463,238,467,206,961,476,830,893,260,853,908,936,302,179,197,
368,095,122,884,864,679,379,691,861,882,758,434,177,130,317,898,096,927,163,
663,347,993,202,725,921,622,421,954,319,396,946,667,443,503,959,760,941,904,
018,836,025,949,731,946,495,201,745,552,848,080,287,711,950,201,483,519,655,
716,505,954,557,055,029,822,205,134,249,753,222,943,324,016,024,923,808,138,
148,602,491,500,160,617,116,999,560,896,689,734,901,629,438,283,557,850,256,
210,269,279,039,849,724,849,846,971,653,613,239,639,360,683,464,343,634,688,
846,913,376,322,920,608,051,517,441,259,875,908,371,305,105,242,203,990,235,
472,503,945,927,192,536,328,140,668,511,086,162,795,895,498,387,134,997,956,
070,552,400,399,336,726,813,997,825,472,350,895,724,179,247,672,982,871,227,
466,168,988,556,737,625,100,050,103,579,033,954,300,694,524,927,409,494,337,
625,846,644,207,989,145,082,225,337,565,040,195,922,106,058,989,927,879,997,
398,117,061,294,995,924,668,955,816,672,535,539,654,478,925,336,577,647,177,
746,568,429,291,185,678,636,677,662,815,495,215,484,425,092,609,745,405,205,
107,306,516,978,304,325,607,976,360,770,803,235,453,015,506,469,669,363,727,
341,733,938,006,393,018,628,244,864,708,489,401,622,796,736,547,516,710,325,
585,881,575,544,128,632,781,391,564,428,767,216,252,235,199,289,196,036,619,
809,791,095,201,925,676,966,332,082,724,833,525,031,588,879,301,732,089,216,
743,675,621,236,701,704,862,133,826,484,394,177,845,764,158,020,815,452,862,
348,998,494,115,094,181,892,642,960,670,871,506,647,725,684,742,269,909,560,
314,156,514,472,068,007,156,288,059,102,927,035,449,251,569,017,744,521,976,
820,540,716,140,203,299,115,059,130,108,344,357,639,542,908,321,151,918,243,
621,193,501,193,257,093,962,847,956,599,473,737,771,863,492,827,386,832,135,
830,031,443,934,627,274,472,438,346,729,220,993,337,067,789,692,645,769,383,
659,128,584,505,850,210,015,974,737,912,192,599,832,534,714,324,775,946,158,
783,995,287,153,357,131,448,363,211,280,084,175,246,925,184,646,880,956,741,
165,423,783,134,264,853,524,721,796,811,759,332,344,802,577,151,004,604,305,
556,060,558,178,421,780,806,555,998,328,203,735,639,803,241,500,599,435,172,
032,303,382,772,884,810,745,478,178,652,300,363,296,947,020,529,129,524,446,
117,746,843,913,803,112,436,587,377,835,127,763,443,486,007,820,599,591,079,
897,198,602,712,091,959,848,362,512,872,471,550,771,028,887,756,044,310,242,
893,125,978,266,707,581,706,299,975,802,568,718,888,393,806,619,010,205,377,
298,594,322,522,180,197,319,322,119,008,898,517,003,437,926,111,824,440,612,
056,997,287,398,057,680,068,432,830,227,554,364,516,463,378,132,839,722,633,
698,740,913,983,324,686,673,810,493,145,925,645,675,606,544,796,965,591,263,
723,942,340,640,252,479,469,354,089,264,804,976,788,394,237,294,816,366,196,
452,990,405,538,816,348,130,485,846,522,726,359,365,440,880,674,351,171,274,
596,077,004,506,452,673,739,039,047,700,089,232,761,490,384,081,993,375,298,
257,021,239,892,719,218,970,489,981,406,350,345,549,090,214,166,949,778,635,
455,546,399,295,698,602,090,946,582,990,096,937,465,700,886,018,257,195,094,
951,185,337,342,345,420,209,458,223,181,315,299,741,745,022,408,937,704,678,
789,251,026,948,167,759,047,200,993,450,633,693,484,852,848,197,624,561,773,
709,463,520,044,154,699,709,937,800,736,685,358,136,411,560,275,586,537,721,
457,497,509,581,491,210,757,335,195,204,378,142,310,523,910,821,387,382,372,
427,718,526,608,545,896,492,252,334,730,333,861,300,588,190,234,010,079,915,
120,114,985,769,615,641,072,576,971,737,987,312,955,469,744,089,368,446,612,
392,567,332,076,826,580,463,099,129,080,708,324,580,920,150,021,387,282,847,
285,115,425,970,661,176,421,804,481,093,487,175,623,909,630,577,699,950,072,
463,387,336,119,220,828,851,366,990,682,842,126,807,614,072,685,790,522,437,
222,934,492,605,042,037,574,984,918,344,163,212,153,100,364,234,947,619,386,
403,984,623,673,473,891,348,151,900,781,823,549,967,598,817,318,308,052,601,
950,039,402,439,427,573,092,165,858,026,363,728,052,579,259,378,200,401,769,
746,750,361,281,146,327,742,171,521,065,682,998,201,056,728,502,318,983,234,
750,844,341,829,717,349,886,490,128,819,782,800,691,760,420,654,649,461,353,
904,640,325,012,507,298,760,523,097,557,855,793,593,117,744,792,392,927,410,
118,605,916,824,838,813,321,684,392,038,641,866,155,799,528,122,822,752,413,
245,307,713,264,574,236,930,776,325,510,343,507,939,419,464,584,438,078,434,
282,410,743,011,265,372,763,897,316,282,609,214,790,890,996,451,604,676,670,
955,714,064,710,394,995,514,868,322,348,551,552,856,604,914,563,340,935,933,
413,799,197,335,537,832,296,577,791,329,084,533,455,951,104,369,455,727,021,
452,961,134,036,315,681,731,005,807,736,425,275,070,083,146,525,811,401,608,
102,161,322,147,926,456,645,697,784,100,696,900,616,616,769,251,933,446,324,
161,703,391,063,631,211,699,471,225,485,732,276,363,987,039,142,451,787,590,
720,219,855,611,321,879,354,622,553,731,268,991,180,859,863,214,128,851,978,
796,093,945,271,322,461,658,533,293,468,232,893,449,460,811,721,511,949,774,
112,720,507,952,719,905,125,092,865,271,753,350,988,369,815,310,422,771,263,
031,274,041,266,705,362,724,514,203,104,639,330,503,649,100,081,303,725,775,
888,637,834,521,059,117,197,790,901,606,025,691,847,292,059,400,109,203,431,
556,163,002,790,562,879,925,620,345,925,149,093,089,311,945,937,770,630,171,
075,109,335,609,198,468,294,849,184,312,870,781,376,730,495,210,885,260,180,
300,458,650,010,908,901,966,771,828,236,531,404,628,532,790,979,021,073,157,
434,283,511,537,183,851,173,694,011,893,769,501,934,474,544,912,890,669,106,
556,668,944,520,633,620,039,065,910,804,493,781,620,952,132,214,119,622,926,
343,005,983,727,084,411,247,195,693,467,014,404,169,620,080,026,884,258,667,
032,367,984,072,077,988,457,910,289,996,927,850,048,690,547,386,953,082,785,
722,226,829,678,126,793,577,377,014,051,269,669,468,021,864,495,393,320,228,
279,504,571,485,314,670,858,790,051,977,773,509,711,120,693,186,427,722,364,
323,563,544,955,380,889,788,961,298,667,032,446,232,589,949,793,870,484,617,
814,100,902,145,034,017,988,699,362,041,979,326,884,110,059,458,917,933,850,
930,814,588,321,809,624,055,634,556,194,803,605,131,759,213,491,831,771,199,
203,337,898,091,838,214,111,864,172,186,138,787,263,896,551,677,132,359,643,
932,192,413,119,524,028,518,509,048,765,912,599,691,506,770,425,606,950,634,
715,307,135,252,013,090,452,362,519,903,782,050,075,210,187,820,863,674,321,
902,151,143,812,522,310,083,630,077,872,052,580,337,511,795,166,980,342,593,
968,751,763,015,326,170,846,581,736,271,980,737,571,746,540,641,485,929,470,
292,481,970,265,264,812,408,310,009,658,832,646,233,363,889,192,500,562,460,
767,727,532,537,129,891,838,825,276,825,181,013,575,766,377,313,414,612,610,
637,360,697,157,315,654,378,755,472,208,976,807,236,314,893,023,141,876,653,
943,632,895,245,499,656,114,577,982,279,941,470,017,682,770,947,916,973,326,
127,949,422,258,169,975,589,525,836,043,874,515,404,629,943,051,123,667,904,
118,380,744,792,454,042,402,329,916,274,164,856,549,947,207,869,216,933,971,
146,780,732,607,485,638,304,161,249,238,837,670,396,593,721,071,319,414,146,
915,301,228,683,090,093,892,824,930,407,066,671,453,663,985,737,719,629,277,
200,305,999,467,676,118,663,066,750,169,314,349,338,138,721,358,791,120,089,
116,843,627,689,473,969,522,519,900,803,545,203,839,942,728,011,842,942,147,
043,285,201,708,150,352,242,469,988,749,364,958,951,267,010,962,457,943,539,
615,305,887,591,442,869,833,641,942,850,404,071,979,704,407,148,096,311,421,
150,730,521,825,776,312,783,939,954,068,756,722,324,213,271,381,065,357,110,
777,480,615,408,682,461,219,305,114,109,652,298,697,246,632,891,552,418,494,
223,007,760,907,006,959,662,268,745,900,319,711,588,870,820,261,138,100,342,
320,252,844,626,216,327,125,994,454,102,298,228,668,420,310,680,742,006,980,
829,703,176,745,590,967,481,271,212,776,272,545,777,723,905,018,300,652,231,
069,639,951,462,795,798,513,093,352,957,474,361,196,647,880,632,074,024,323,
942,385,487,460,308,053,339,842,817,225,176,047,195,625,822,596,640,807,141,
351,746,624,286,436,894,403,277,331,274,719,685,610,990,273,884,241,942,325,
222,364,053,678,231,245,982,444,278,777,587,021,184,228,305,123,289,770,107,
835,293,292,728,240,605,433,892,298,918,992,158,310,552,863,298,724,889,042,
591,391,659,501,276,367,320,696,942,761,755,125,664,501,058,056,437,959,850,
856,263,658,858,170,335,804,256,621,190,554,829,961,870,592,660,744,143,098,
308,146,492,695,068,110,887,974,059,610,951,234,692,152,312,907,538,966,960,
147,380,166,914,365,743,053,696,281,328,881,470,552,517,594,492,327,582,522,
871,029,243,689,989,123,937,842,900,232,436,047,571,978,991,480,598,273,529,
922,803,139,918,100,013,274,534,800,735,451,151,150,164,742,965,162,936,516,
150,261,432,452,916,933,131,072,684,218,199,183,907,264,577,847,668,325,797,
034,190,262,980,802,958,194,790,677,439,855,644,107,271,972,289,864,534,113,
014,717,282,284,950,915,860,002,026,274,293,253,986,963,471,862,116,376,104,
626,222,864,071,086,332,831,481,993,491,804,998,637,900,704,573,877,137,162,
639,389,732,205,978,516,564,748,573,604,436,533,317,128,951,313,428,857,159,
443,909,108,728,497,609,091,062,517,969,487,807,751,278,249,206,398,151,477,
791,763,648,561,052,559,820,136,623,615,768,133,298,865,483,362,956,166,767,
804,155,566,386,371,796,809,909,665,901,117,874,639,984,964,764,022,653,560,
769,185,663,170,673,251,464,096,557,778,234,454,456,855,972,389,121,659,234,
538,301,204,959,282,895,178,426,166,714,917,260,961,516,908,028,824,408,019,
962,756,104,573,585,698,889,562,340,743,799,450,613,345,446,457,301,965,230,
290,231,812,926,175,878,703,041,790,755,628,471,229,224,177,701,764,817,351,
230,666,238,427,079,233,783,020,647,183,057,214,137,202,372,511,424,026,173,
763,303,338,373,316,542,267,573,195,238,678,486,398,880,669,761,657,931,333,
074,460,872,809,133,407,430,975,341,777,135,779,631,287,163,821,433,702,709,
495,881,683,950,559,217,345,884,179,917,924,864,588,844,805,567,722,105,400,
385,113,879,498,012,870,698,076,496,161,992,574,627,830,790,527,935,509,397,
610,936,086,649,667,020,209,614,064,182,791,433,855,182,393,995,850,681,455,
061,410,122,523,627,052,514,937,363,369,682,024,670,320,549,574,241,127,476,
632,934,248,204,654,908,567,658,840,376,905,629,942,473,781,785,046,804,905,
956,704,890,710,517,121,946,453,203,479,379,012,376,360,860,553,098,227,946,
286,043,084,278,049,369,990,697,888,635,013,134,365,719,483,640,244,750,614,
211,552,888,550,101,964,190,506,677,165,756,793,137,454,342,292,453,547,384,
250,300,007,373,811,531,151,254,090,934,123,726,475,426,554,456,786,874,884,
566,843,053,235,926,213,001,008,917,357,680,830,422,744,215,118,453,327,576,
020,769,626,107,058,910,590,098,715,779,030,577,814,894,396,912,692,264,483,
210,254,355,819,884,670,586,173,934,330,694,418,574,623,578,942,222,724,931,
493,190,969,964,981,653,599,739,898,612,784,454,349,983,058,904,314,959,350,
603,653,478,875,678,213,949,384,329,167,201,259,324,480,780,054,606,202,613,
952,085,230,485,541,740,384,825,721,144,518,192,689,019,518,727,978,815,374,
068,116,781,749,072,964,318,945,804,561,378,829,271,852,522,205,339,310,635,
966,161,060,010,600,891,908,022,417,074,540,397,074,798,561,787,031,437,010,
296,345,474,050,882,595,169,893,154,185,550,508,065,989,619,933,798,225,478,
593,479,933,911,026,555,642,621,065,342,676,522,121,222,085,133,225,449,251,
267,486,834,498,121,273,684,737,890,873,968,904,226,842,788,390,994,584,601,
819,320,039,613,140,254,102,912,281,756,906,642,950,982,206,222,180,682,346,
549,029,085,319,309,219,385,224,686,854,020,910,364,208,399,794,900,673,746,
294,848,486,213,801,188,878,508,664,066,170,205,975,176,126,813,602,154,646,
043,760,241,031,795,356,817,280,734,276,259,447,854,099,204,430,552,637,451,
868,248,439,255,890,109,024,691,253,818,114,465,215,198,727,579,807,841,708,
783,719,163,845,333,421,606,375,189,473,103,805,805,852,478,286,002,085,630,
458,098,730,614,402,957,136,271,941,198,506,143,502,679,648,150,563,137,485,
022,784,131,637,793,943,605,474,011,040,226,437,958,954,530,867,910,432,873,
770,831,286,892,975,535,577,759,847,326,099,457,711,967,903,223,670,313,882,
428,658,425,831,962,957,140,016,866,824,962,583,059,835,303,216,619,960,937,
129,420,318,050,374,901,162,025,841,184,758,776,432,874,299,455,490,733,915,
610,477,106,337,683,562,907,287,618,506,057,002,363,799,052,690,732,193,188,
059,067,366,725,910,001,551,990,942,652,537,273,822,354,585,861,187,859,301,
238,403,593,581,358,378,228,558,103,697,964,338,553,528,356,171,581,227,278,
593,975,075,072,687,556,815,430,395,464,991,536,710,634,236,622,245,306,449,
645,044,827,572,451,995,359,043,262,325,936,628,614,639,971,825,515,027,505,
936,687,734,410,467,954,105,641,986,977,286,511,753,942,401,565,414,135,781,
270,897,892,188,840,650,938,824,047,156,239,461,266,008,012,349,634,045,557,
977,574,840,404,061,519,666,262,998,747,259,233,777,376,178,741,769,172,330,
062,322,488,784,778,776,941,611,771,030,617,367,698,570,866,925,245,358,014,
890,292,680,343,378,578,914,698,543,310,971,601,391,555,716,503,096,843,176,
377,553,035,264,213,939,754,864,993,348,528,238,015,871,353,682,615,391,499,
236,974,142,180,126,762,751,776,548,629,784,514,079,762,422,727,419,813,316,
525,399,553,682,493,694,454,931,965,509,803,502,004,646,508,514,822,701,494,
896,758,224,450,876,882,759,085,378,206,698,900,007,089,321,780,339,968,177,
426,212,933,510,814,709,945,076,194,084,497,040,446,764,588,251,116,883,351,
055,195,164,332,199,593,466,100,573,937,879,307,868,103,332,450,361,916,450,
330,579,633,313,537,447,676,351,020,307,445,412,995,500,327,649,737,780,875,
763,025,657,440,496,594,939,355,238,117,012,089,842,849,234,031,440,904,157,
855,744,999,448,112,947,352,218,750,990,783,044,160,538,958,854,887,129,508,
311,403,545,825,168,378,026,570,701,489,210,213,102,765,689,751,113,422,647,
958,088,164,975,701,555,426,058,711,946,219,198,247,510,675,265,063,152,575,
994,598,461,573,066,160,759,867,546,721,725,080,859,522,229,649,121,400,919,
492,572,615,400,417,315,033,924,446,001,316,071,931,604,372,194,477,771,353,
827,682,453,919,839,977,147,516,010,521,836,546,779,913,318,694,655,033,624,
330,768,099,964,262,431,669,736,890,186,894,460,363,824,218,233,642,029,440,
810,027,592,464,576,090,474,582,595,838,457,805,181,157,676,191,739,892,394,
825,622,425,756,350,094,760,325,746,920,560,906,288,544,800,944,476,385,775,
497,009,848,368,767,184,861,646,451,868,763,194,816,320,160,259,166,995,739,
876,759,166,601,405,785,289,559,599,746,639,597,071,390,905,709,258,053,828,
815,429,147,079,628,305,104,713,823,219,009,527,740,120,709,405,214,316,955,
826,266,130,544,147,582,317,041,384,622,195,346,913,990,936,789,042,078,142,
114,744,612,274,178,087,048,411,190,601,059,864,536,626,360,061,014,399,292,
256,089,400,224,016,648,736,784,088,366,176,352,677,019,090,410,855,498,209,
113,199,043,101,234,562,064,313,484,312,728,461,789,436,151,195,399,912,824,
854,830,128,174,349,772,760,079,066,413,211,586,514,871,211,618,672,984,807,
798,854,951,602,547,953,083,615,294,373,822,144,787,935,060,690,465,551,564,
884,882,990,357,127,423,033,792,669,669,057,723,850,514,989,126,405,117,062,
187,158,444,754,981,627,061,058,625,326,379,380,302,416,652,522,336,261,353,
675,833,816,000,138,570,619,807,545,500,467,917,782,941,739,892,903,380,020,
405,361,978,689,176,997,286,395,434,805,454,261,582,301,792,452,988,058,726,
347,127,210,678,846,948,290,870,975,603,276,548,146,296,147,375,687,401,931,
525,128,765,587,116,579,109,086,818,495,423,892,870,640,503,280,385,935,867,
431,070,785,146,871,946,936,295,326,070,058,816,326,750,140,232,228,143,991,
494,297,444,618,950,292,225,025,575,911,176,529,877,099,360,923,266,848,261,
163,330,990,959,438,271,631,851,957,695,497,930,615,916,367,622,261,328,566,
933,249,973,564,988,055,325,414,009,102,592,054,843,435,311,779,596,877,166,
603,900,097,060,187,351,356,868,953,651,937,227,971,920,345,820,901,626,138,
401,602,960,424,863,921,129,298,192,104,953,157,419,217,539,003,967,551,422,
011,343,089,697,073,190,873,011,823,956,704,162,290,327,273,929,893,872,345,
080,301,827,701,974,408,718,837,401,730,735,762,837,091,068,737,036,324,904,
771,516,778,745,012,121,863,037,438,668,526,568,759,031,370,377,169,709,783,
549,433,213,401,498,407,791,905,953,829,840,585,810,141,245,180,939,035,522,
660,460,468,901,317,272,829,212,906,625,707,148,303,276,866,959,856,869,313,
316,411,574,284,927,377,183,681,114,198,072,154,083,452,511,676,622,734,870,
676,674,305,142,778,713,761,467,894,379,136,587,278,564,558,705,857,766,062,
108,416,170,392,073,997,596,178,760,888,023,387,913,058,729,191,126,649,917,
865,036,617,069,538,938,119,765,999,006,800,238,171,481,101,963,840,617,203,
799,072,122,352,494,859,471,359,181,567,845,824,848,368,008,824,317,151,318,
637,911,304,706,034,159,553,137,551,256,221,405,174,917,324,977,780,589,221,
529,568,050,882,602,131,517,447,548,966,879,586,339,211,977,543,615,471,278,
713,652,067,060,204,532,274,319,327,053,878,009,945,326,646,156,452,778,121,
775,843,203,381,731,841,727,737,540,521,371,908,760,171,788,677,084,425,784,
146,874,175,841,626,845,372,555,816,984,769,240,016,401,292,945,990,844,122,
634,671,201,856,280,133,773,002,378,788,133,488,942,913,347,187,024,124,118,
898,796,758,757,741,204,198,076,598,915,425,976,527,780,981,208,504,453,517,
891,491,816,759,977,418,598,272,857,362,296,869,666,727,845,922,051,014,791,
357,325,818,017,834,115,599,645,440,613,442,828,872,251,894,538,741,695,057,
256,425,940,986,928,203,021,018,805,173,853,822,293,065,196,476,138,649,774,
039,423,753,994,128,960,863,902,943,116,569,586,597,126,579,513,141,699,711,
500,481,985,543,305,989,888,518,575,816,816,733,015,527,146,215,836,559,937,
413,009,210,654,228,059,414,893,765,742,281,540,744,227,543,830,060,542,448,
465,042,905,172,125,412,797,050,691,212,158,384,466,046,843,820,793,505,504,
468,892,948,782,525,753,847,185,065,259,431,929,045,858,497,852,382,587,601,
331,577,103,179,034,245,721,952,191,000,558,993,476,817,740,214,516,639,769,
398,149,852,723,305,342,389,369,522,268,102,547,062,672,821,740,724,791,257,
283,284,652,890,182,703,124,569,700,887,773,156,380,573,202,524,277,847,268,
073,988,738,804,775,962,849,888,876,012,060,164,353,871,599,354,266,768,177,
183,809,049,496,797,213,963,981,106,177,631,713,436,268,508,618,011,543,689,
074,164,584,769,817,034,917,249,397,968,477,769,879,960,610,697,407,864,119,
342,563,701,855,286,302,919,524,231,307,132,965,949,311,122,074,141,622,414,
218,389,362,269,220,595,058,541,233,279,876,454,366,908,015,791,295,715,168,
966,638,943,179,490,392,345,029,614,675,117,619,451,508,765,668,566,164,397,
909,784,752,485,143,899,393,086,050,333,999,519,810,939,329,670,957,956,817,
810,472,053,729,746,329,111,745,552,486,724,101,129,528,724,138,347,727,339,
420,340,080,099,914,765,943,810,134,294,466,439,079,858,547,115,798,686,795,
926,871,349,255,486,650,027,784,851,281,090,980,012,460,509,730,609,229,664,
122,472,611,781,146,467,087,044,852,271,846,077,352,511,047,327,771,242,871,
720,960,251,824,379,430,958,380,118,307,001,703,605,083,798,071,575,482,346,
420,044,649,683,672,226,879,368,864,478,577,458,199,478,213,619,814,876,097,
550,497,338,852,265,000,484,253,979,810,376,079,662,076,867,538,273,718,113,
987,412,134,333,614,363,815,750,369,571,455,285,260,252,284,145,295,835,457,
155,508,615,755,454,523,527,254,929,710,624,282,650,898,686,428,215,422,423,
909,825,283,216,568,287,302,857,197,942,840,151,948,468,783,968,246,815,412,
460,851,351,766,415,388,465,924,236,466,323,438,440,761,417,293,041,097,935,
225,979,114,346,218,502,807,927,629,565,017,936,707,376,011,797,502,849,305,
467,119,022,847,414,792,275,039,353,496,207,730,967,676,235,214,223,945,974,
569,249,972,673,361,506,318,094,433,500,165,723,646,538,595,998,652,880,348,
260,131,063,348,535,070,910,800,369,029,725,464,174,720,820,628,349,578,976,
827,399,689,687,041,048,866,439,110,574,794,373,723,162,346,779,711,398,963,
683,905,114,547,949,127,520,802,460,710,450,345,600,782,849,704,468,238,681,
064,189,170,058,813,751,072,749,912,093,538,067,856,746,618,600,848,351,927,
519,486,561,812,319,799,020,668,248,658,016,330,452,160,415,180,060,058,459,
852,554,925,276,103,699,418,166,349,582,272,567,344,976,443,353,360,844,818,
415,581,499,248,451,239,121,139,258,713,351,300,484,605,657,978,879,028,782,
656,519,238,317,267,567,189,973,138,683,876,345,630,815,679,649,092,388,195,
752,810,523,966,003,424,274,638,517,120,243,077,848,063,432,188,049,922,698,
990,090,182,803,502,311,585,558,703,953,734,978,080,394,339,935,227,831,919,
461,942,251,700,899,227,970,514,185,049,558,133,356,905,185,941,099,052,131,
490,202,075,330,475,484,002,106,897,106,529,656,734,472,560,228,621,974,587,
037,663,447,814,132,465,142,020,762,707,783,427,701,062,423,304,853,647,706,
449,786,991,461,263,199,692,248,282,334,015,219,736,753,804,435,037,962,630,
902,713,808,366,172,386,965,016,590,448,661,454,573,770,472,104,207,289,516,
678,251,273,986,891,009,584,948,238,531,528,772,009,778,563,307,840,775,310,
089,304,895,270,941,957,522,577,787,252,497,589,656,826,131,320,302,184,471,
084,700,166,351,147,099,432,949,831,903,922,622,704,870,178,646,992,209,298,
406,184,779,018,285,730,642,614,457,263,050,917,434,085,142,495,491,204,583,
972,400,488,369,604,118,054,885,263,451,239,524,929,077,932,403,882,726,143,
019,136,229,025,865,014,165,358,997,320,642,848,517,548,540,240,662,500,268,
604,487,831,685,955,551,660,121,928,394,646,927,987,319,094,220,879,511,633,
118,784,645,375,819,146,859,473,699,755,373,685,410,333,272,951,973,176,786,
384,412,128,995,140,392,881,708,100,249,223,690,731,759,015,436,852,399,994,
776,152,873,382,336,572,862,124,558,803,102,949,520,372,525,829,856,487,676,
875,179,352,817,456,880,597,806,846,050,622,405,678,974,504,398,305,846,463,
453,178,730,529,959,861,599,719,433,502,824,134,859,067,444,984,180,205,509,
973,723,530,222,432,566,100,527,313,306,892,735,625,681,665,968,953,621,763,
084,790,550,723,725,780,370,512,346,058,623,680,686,828,171,337,998,381,156,
924,126,687,191,340,991,747,213,393,904,240,808,672,506,829,690,686,937,989,
185,540,551,634,735,460,421,094,568,017,053,334,821,143,194,083,764,306,723,
910,558,061,005,425,528,141,949,082,284,373,606,483,296,748,899,011,773,011,
202,351,379,119,246,368,564,553,308,258,015,289,218,434,372,530,311,453,295,
751,748,054,419,429,187,238,955,627,131,038,183,595,747,023,077,442,489,655,
471,344,396,766,794,530,251,916,382,660,867,067,902,596,768,361,298,008,949,
433,310,430,681,124,753,891,648,189,029,011,201,738,203,126,409,882,330,193,
182,187,344,533,590,928,634,739,684,590,495,681,256,468,909,993,427,357,416,
733,986,029,498,726,949,305,550,057,969,384,469,852,089,059,732,401,975,997,
540,763,800,192,291,037,629,716,846,941,491,851,335,126,538,867,784,213,954,
626,145,409,237,428,765,853,019,607,555,234,307,439,951,675,681,377,322,307,
863,716,976,906,470,589,423,854,264,010,980,189,284,433,790,228,246,545,683,
509,753,478,878,531,177,604,787,403,133,033,911,497,455,891,338,740,481,551,
266,232,670,144,899,050,650,115,608,701,165,743,922,883,008,101,110,667,885,
633,977,656,244,191,664,923,868,305,536,926,642,054,994,060,836,707,548,124,
981,923,307,038,930,730,636,756,380,433,133,925,511,478,407,879,559,495,962,
400,098,440,711,927,586,058,462,776,469,862,456,770,244,612,367,276,492,892,
536,495,321,130,342,049,806,797,873,105,299,721,225,275,154,123,036,748,228,
857,219,530,893,089,952,516,197,442,309,285,909,332,452,620,492,351,773,050,
191,320,148,779,564,164,470,354,165,063,724,748,845,589,301,180,754,359,243,
175,076,387,247,665,435,168,438,538,226,432,409,247,230,067,174,528,498,594,
122,330,063,668,900,354,300,934,755,320,182,330,876,232,015,915,615,882,036,
748,307,522,917,203,528,239,392,567,928,759,255,188,789,491,678,709,511,534,
776,550,869,100,584,109,100,588,463,030,397,261,493,721,869,712,495,726,777,
866,171,251,676,599,054,503,507,509,992,494,108,774,800,585,403,881,839,026,
031,861,651,050,481,367,705,420,345,990,387,169,428,827,140,423,017,629,434,
737,916,654,024,535,645,669,516,881,229,014,427,787,563,064,360,768,544,474,
255,732,480,182,070,790,058,004,637,054,582,696,142,327,207,603,568,510,248,
140,407,733,910,816,305,356,120,562,652,657,225,956,717,273,027,501,857,634,
716,593,832,753,648,075,409,599,515,532,939,709,283,413,671,040,141,251,556,
594,817,868,290,141,936,301,283,077,778,069,910,215,931,446,695,871,033,042,
558,136,200,279,168,609,791,802,919,546,418,423,044,371,007,677,654,698,117,
135,583,342,712,197,676,583,040,510,784,350,676,149,229,202,906,908,681,176,
647,395,415,782,132,106,879,255,641,007,464,161,164,124,640,220,288,547,735,
711,008,198,788,748,444,127,683,752,060,593,953,660,056,483,211,552,361,561,
145,294,577,408,536,530,026,115,874,046,205,254,568,348,234,073,751,786,580,
031,076,178,217,579,027,331,086,816,681,859,171,776,241,196,050,388,511,437,
753,456,344,029,570,040,212,774,428,819,316,785,833,914,835,610,219,815,629,
177,295,771,506,408,704,904,877,304,663,951,570,893,914,728,766,386,818,566,
219,078,535,898,225,535,807,280,026,907,268,257,072,003,800,075,289,303,611,
020,972,077,693,202,781,855,841,233,069,876,936,361,847,567,176,382,704,683,
519,064,721,587,832,338,044,135,741,099,293,618,614,469,753,219,078,160,035,
116,781,483,276,697,599,420,700,331,568,762,971,545,288,673,887,591,993,829,
805,953,252,956,372,992,979,135,431,435,819,226,651,620,588,438,203,411,152,
772,035,891,543,520,419,828,232,590,807,482,101,955,293,017,264,307,161,120,
802,124,049,287,018,418,439,971,918,973,048,066,577,247,791,228,921,800,861,
521,727,572,869,063,209,386,367,114,854,700,538,854,917,151,478,031,197,566,
982,900,529,570,934,128,447,369,156,086,564,742,475,245,534,394,657,402,212,
895,723,222,902,553,386,302,011,520,332,645,271,442,165,411,855,334,335,288,
269,379,438,174,448,927,849,803,257,006,543,768,354,272,615,705,897,114,228,
532,963,231,976,173,019,444,607,133,275,550,052,805,479,603,155,063,231,311,
558,905,528,100,684,209,299,857,090,891,708,118,860,855,074,667,873,899,981,
844,187,699,861,427,003,615,975,704,780,437,072,498,291,667,722,342,142,594,
096,799,067,338,789,881,926,770,384,342,332,653,483,901,863,107,960,780,186,
477,006,256,157,411,155,609,546,625,237,912,463,656,991,501,754,539,987,785,
504,780,922,066,586,688,733,212,872,410,866,434,792,985,242,916,749,814,029,
353,997,469,199,253,265,309,265,006,796,932,657,864,657,943,448,550,758,816,
140,065,984,263,357,874,910,151,333,163,678,379,234,832,155,297,502,808,301,
282,274,237,287,489,622,831,414,032,765,543,731,077,994,536,211,232,595,629,
514,694,586,005,911,023,894,139,448,578,954,204,594,088,485,055,213,942,790,
179,441,547,756,978,598,247,905,888,589,459,151,156,917,111,788,067,222,968,
118,220,820,345,402,947,274,007,150,163,913,078,427,852,944,209,920,924,637,
079,399,434,586,584,776,354,825,720,196,786,987,091,509,460,129,371,068,805,
231,914,156,849,852,984,464,826,416,492,749,349,971,796,195,300,270,480,389,
771,187,230,478,689,140,467,193,240,701,522,547,446,620,830,416,224,767,849,
915,295,305,802,701,549,026,139,596,493,262,204,149,698,874,011,940,819,892,
984,279,707,230,919,472,180,651,593,857,735,789,553,518,369,491,667,365,041,
747,664,030,060,156,049,395,281,409,049,471,111,012,262,178,163,574,600,423,
566,597,795,552,617,099,788,398,292,255,762,328,352,973,479,323,089,171,711,
260,194,184,286,120,526,464,179,421,446,151,901,712,956,943,755,659,760,336,
136,715,043,450,379,998,007,137,575,950,146,118,173,481,206,960,777,850,085,
181,240,512,367,824,765,979,188,732,626,385,682,833,993,768,132,430,987,328,
663,367,984,790,418,261,952,799,613,472,947,620,559,706,004,593,463,362,867,
767,619,666,110,022,160,454,748,725,778,199,596,246,827,172,518,228,019,042,
306,359,179,229,512,304,289,407,290,201,859,978,369,004,188,205,422,247,743,
965,187,811,674,306,420,157,417,535,838,592,859,326,246,374,255,526,580,352,
228,706,332,466,226,165,064,257,957,379,199,839,733,962,045,616,859,995,052,
161,598,318,508,188,199,158,223,612,512,131,734,463,159,297,367,975,391,435,
961,231,123,249,702,523,932,819,447,556,865,239,938,284,070,393,070,179,005,
225,580,728,043,908,910,924,475,712,082,041,490,464,145,394,863,189,109,011,
670,006,973,394,614,503,112,113,304,087,844,341,023,919,953,537,760,973,444,
677,182,916,018,978,028,064,039,074,168,971,552,476,213,535,169,400,280,902,
748,228,866,952,584,958,054,344,145,234,917,774,770,959,374,307,607,532,102,
654,186,938,169,730,409,974,302,563,449,111,549,516,100,214,255,109,599,193,
115,822,809,177,928,196,605,917,743,830,922,161,096,734,634,780,898,134,704,
881,073,898,193,991,209,187,904,926,705,349,033,831,882,743,482,511,581,350,
585,940,296,042,904,451,594,093,590,613,773,291,303,524,499,040,122,516,830,
969,652,299,618,866,986,169,303,853,353,448,889,314,115,765,538,188,913,711,
679,735,362,612,932,186,906,823,838,964,631,191,796,343,306,799,406,965,378,
076,184,775,781,836,424,979,835,922,758,340,601,053,948,903,831,173,704,291,
811,090,957,377,173,610,675,001,330,980,370,187,842,443,690,227,504,202,335,
311,625,995,905,218,600,546,868,553,656,400,461,928,525,311,946,589,179,094,
065,773,341,991,894,821,997,488,584,335,224,832,074,669,533,725,124,375,565,
888,876,817,396,881,607,178,426,051,926,089,472,646,195,209,139,082,407,276,
187,910,092,075,893,990,655,741,114,731,686,054,290,317,153,776,862,335,691,
515,312,120,598,268,601,274,648,229,220,646,041,018,721,390,772,875,803,254,
190,682,846,511,967,601,542,102,456,696,635,304,339,343,552,259,450,132,115,
589,986,571,559,903,981,988,742,579,738,888,196,999,288,440,979,937,329,334,
401,103,192,049,190,906,336,325,391,708,696,873,926,102,054,894,971,750,569,
242,145,251,842,981,798,703,320,504,346,105,428,761,718,297,204,557,327,268,
210,677,258,125,007,761,685,851,702,617,464,990,087,210,340,452,131,652,677,
722,440,577,944,788,482,881,843,830,533,892,920,294,873,939,775,420,339,721,
552,535,968,463,209,640,781,737,036,309,465,940,588,992,031,760,807,824,035,
710,150,256,210,953,656,342,301,702,725,512,234,965,378,850,670,896,543,903,
409,264,647,905,221,764,070,233,504,411,857,354,714,905,535,525,033,276,316,
255,777,259,256,932,299,359,043,693,084,511,017,702,879,206,660,862,145,706,
152,276,407,051,564,567,892,541,998,722,523,767,486,405,594,729,062,339,772,
902,895,332,631,738,960,026,728,985,558,169,165,255,200,148,428,340,095,558,
655,262,516,076,477,536,515,814,054,262,468,082,967,257,317,626,948,657,360,
470,240,220,832,480,623,071,423,971,113,790,111,658,130,882,005,862,040,113,
330,916,166,232,496,745,006,153,669,465,881,590,153,312,503,274,734,549,239,
102,131,269,001,989,197,838,238,746,469,585,321,372,121,081,060,757,604,196,
046,142,474,761,887,677,281,475,758,643,477,636,242,987,760,770,694,940,001,
485,302,395,243,920,018,574,591,028,355,674,173,868,421,450,841,852,443,034,
056,324,548,527,916,012,901,894,099,908,367,877,550,807,197,416,921,649,317,
275,661,498,225,003,627,401,252,912,141,657,970,553,591,847,417,083,127,293,
806,517,329,732,955,134,813,101,680,462,858,302,129,986,277,234,695,661,190,
899,817,676,900,680,258,743,808,994,357,908,069,221,080,730,040,356,028,687,
182,038,305,249,869,355,544,035,834,807,849,708,325,745,343,317,653,392,887,
184,700,861,824,259,330,534,693,392,237,252,286,288,625,946,162,908,840,680,
113,993,545,477,366,832,919,464,644,185,751,418,669,826,640,224,745,760,559,
554,703,217,440,525,180,181,402,198,932,444,376,745,483,232,444,089,568,165,
523,873,134,449,946,716,987,323,823,130,727,674,420,866,109,024,709,534,141,
125,810,303,573,830,025,952,317,961,130,880,633,922,210,651,557,277,738,847,
814,701,404,006,182,014,771,300,849,006,472,141,848,843,711,912,123,540,174,
309,485,421,883,992,166,162,334,986,984,442,926,984,069,441,421,497,668,544,
280,000,863,249,830,714,718,689,908,709,788,470,240,757,940,798,978,673,823,
639,668,406,392,835,143,507,218,190,803,935,655,208,159,537,776,734,268,756,
348,784,675,072,031,804,764,570,016,172,114,620,252,161,736,911,898,029,870,
324,169,970,076,414,249,542,974,380,777,973,437,193,214,063,503,229,993,549,
195,505,481,596,514,267,408,321,334,949,871,319,682,842,036,801,983,254,937,
332,725,541,971,004,041,819,621,567,145,017,956,619,387,858,481,138,288,084,
713,788,969,809,165,847,034,687,323,925,785,634,785,934,229,584,189,643,530,
306,486,080,540,292,729,901,891,009,840,960,043,881,698,674,148,770,606,403,
734,019,188,835,998,519,108,108,468,815,618,139,760,254,312,159,378,464,328,
519,121,286,339,383,706,529,432,869,754,812,454,007,392,970,205,512,730,943,
389,606,199,265,197,720,313,799,875,333,272,332,789,000,689,748,605,703,173,
355,321,204,732,296,972,806,962,118,183,584,915,760,828,989,066,637,241,017,
805,899,234,617,787,050,162,741,479,107,750,093,069,158,410,275,947,483,929,
969,872,127,141,701,680,766,740,963,522,253,563,981,193,321,503,862,016,736,
534,992,667,876,828,280,957,436,246,441,603,486,289,644,340,434,363,104,431,
138,497,204,344,075,458,350,479,037,701,450,103,672,602,348,110,301,508,738,
277,602,138,078,682,789,036,667,666,446,187,880,127,035,679,984,436,946,510,
671,610,926,204,644,378,462,166,317,375,327,211,463,210,110,374,703,196,052,
624,107,735,379,362,462,046,275,204,954,530,026,786,835,490,382,903,732,695,
898,902,820,856,601,109,597,909,615,878,947,987,616,705,643,614,170,394,363,
437,620,429,919,481,326,116,703,547,027,297,691,285,968,535,025,790,397,583,
483,679,456,702,506,690,904,999,060,596,336,493,267,569,853,614,549,209,296,
608,233,532,262,938,690,228,731,090,078,616,177,414,394,354,269,944,959,737,
896,408,884,251,749,868,292,257,913,302,966,161,079,042,984,995,227,660,721,
345,874,359,651,858,007,211,945,775,351,859,346,156,762,774,342,649,150,704,
388,357,534,229,121,434,921,203,851,419,723,667,243,765,552,411,106,828,631,
138,256,589,998,881,648,133,859,472,956,006,697,527,916,934,850,828,720,863,
727,540,596,721,325,826,551,940,494,997,656,135,854,998,545,136,263,140,041,
162,165,066,447,485,263,490,995,408,914,644,030,210,432,169,610,606,430,766,
333,373,800,591,235,201,138,303,590,432,074,657,633,156,504,240,579,218,004,
509,151,307,289,685,517,019,119,983,703,528,968,655,103,541,932,422,088,461,
795,354,136,852,818,986,700,587,307,762,025,663,022,374,278,883,694,161,467,
245,821,794,291,202,725,428,192,569,728,468,903,159,399,513,033,700,081,437,
642,910,834,375,437,956,576,221,827,971,566,114,218,520,545,786,585,605,252,
950,018,269,633,282,210,163,093,568,204,230,857,208,324,072,798,699,791,330,
947,739,890,280,434,356,821,346,076,856,626,108,634,937,015,146,282,034,263,
702,090,722,237,550,894,788,577,685,519,103,357,487,025,594,546,380,855,716,
719,198,117,815,598,653,230,206,605,696,688,800,495,237,948,892,422,342,873,
927,506,354,199,368,546,259,162,198,245,836,388,565,536,150,196,452,261,710,
231,755,236,265,903,250,445,872,732,595,233,597,368,237,761,418,025,865,996,
740,045,531,086,892,888,392,227,898,897,206,397,329,045,488,362,517,035,324,
382,945,162,587,535,507,925,517,488,880,315,170,943,678,683,359,633,049,099,
512,296,284,706,211,984,371,554,227,528,805,177,121,214,397,913,860,197,638,
125,399,620,020,624,069,517,567,285,235,763,555,426,471,898,118,367,654,565,
005,226,201,746,128,748,321,729,081,267,147,533,449,985,969,583,685,705,484,
129,975,520,286,967,440,495,941,364,686,516,303,570,852,546,931,225,078,318,
730,742,023,661,328,991,321,549,261,853,910,543,438,793,483,562,383,111,407,
075,676,067,991,009,636,646,440,836,204,249,516,553,633,410,991,488,990,988,
861,974,970,136,232,780,282,357,532,036,880,419,118,566,653,373,001,459,936,
105,517,378,150,940,820,731,403,641,345,168,260,160,044,586,055,111,196,990,
425,600,489,927,579,055,319,166,833,920,449,519,484,286,163,671,588,536,981,
244,760,244,512,939,963,268,448,438,423,506,814,692,965,787,201,823,447,718,
469,578,595,518,133,253,205,768,353,430,102,757,747,906,222,421,447,383,003,
908,172,773,345,656,318,574,550,602,656,170,868,638,018,035,770,405,343,311,
114,005,009,305,796,661,269,476,652,890,374,504,263,525,935,430,995,204,598,
836,753,370,181,730,429,666,496,574,065,963,579,084,654,192,067,393,978,255,
370,678,547,870,418,405,654,657,859,513,443,612,668,696,937,281,208,269,429,
971,978,094,242,864,310,373,496,763,370,406,696,384,152,324,891,214,789,851,
511,781,299,385,864,609,479,304,645,111,369,808,419,815,656,191,888,690,007,
853,480,220,199,093,866,584,782,501,893,674,428,742,820,532,230,438,002,060,
392,742,266,452,582,569,902,408,395,513,424,898,626,786,905,248,568,906,190,
689,539,125,082,298,748,163,514,611,660,398,967,510,742,766,653,158,408,580,
760,436,527,802,755,785,351,845,474,617,649,830,418,905,844,537,193,280,993,
109,803,216,609,694,972,873,938,842,410,608,437,128,918,362,993,197,683,029,
373,942,426,398,657,823,563,465,797,302,492,800,720,461,265,443,364,876,298,
789,702,489,119,309,603,054,732,085,501,726,089,003,188,393,640,801,862,058,
524,337,469,675,961,472,024,757,347,561,299,008,478,235,341,966,991,123,161,
320,719,804,065,583,605,775,311,141,241,337,082,439,818,213,251,759,175,209,
566,555,986,851,585,117,279,248,736,399,314,924,101,432,295,579,502,916,872,
520,380,619,720,877,843,603,025,629,177,595,220,636,239,912,382,701,833,476,
782,397,369,844,034,860,149,502,243,835,337,717,057,316,220,409,399,150,969,
589,674,255,724,537,057,806,398,659,052,482,012,746,076,443,992,114,542,986,
266,606,760,213,652,363,582,356,833,857,250,282,194,565,960,859,005,709,834,
224,111,313,070,624,822,940,422,049,952,877,825,581,971,397,963,391,390,525,
891,976,908,376,151,039,927,819,780,160,916,210,969,229,596,203,833,339,275,
365,177,790,749,207,609,115,414,976,560,251,499,494,474,817,771,190,666,892,
734,449,691,858,279,927,312,028,933,286,505,399,644,328,690,076,450,129,987,
973,041,831,939,445,317,927,179,742,200,440,541,549,366,848,888,053,117,696,
170,551,015,980,726,720,966,201,085,156,231,977,105,111,183,427,906,342,003,
192,629,535,489,524,927,010,309,723,722,521,427,345,731,342,540,477,397,406,
267,308,834,006,562,269,684,172,441,072,350,483,298,847,569,869,462,408,049,
924,551,603,883,694,775,096,670,715,949,179,175,797,074,098,439,356,077,583,
652,884,119,407,811,136,876,787,570,730,974,795,247,143,299,704,767,369,010,
271,072,142,112,611,319,624,589,465,013,428,653,342,690,313,730,266,891,541,
285,925,675,804,564,741,542,019,324,627,411,357,030,282,774,604,494,662,514,
390,927,057,164,628,865,382,167,847,882,044,314,049,786,305,492,145,175,605,
276,275,739,188,805,724,039,939,550,033,869,150,416,489,216,028,050,688,594,
791,584,126,853,962,989,431,202,067,031,659,639,547,691,345,441,853,385,986,
291,661,294,109,490,560,829,624,521,717,651,631,654,276,959,258,190,872,829,
910,553,544,323,081,972,031,581,080,819,628,872,138,874,847,662,376,231,969,
641,191,348,992,814,493,089,018,949,583,681,203,472,529,519,999,181,622,815,
321,725,174,505,125,512,654,510,768,039,526,164,883,823,946,021,735,215,703,
708,676,187,062,565,683,315,516,826,825,396,860,786,163,486,526,723,234,014,
276,730,568,431,469,522,564,732,675,762,125,833,228,145,464,805,415,746,084,
053,055,980,396,101,758,360,117,135,435,863,369,062,178,691,302,595,298,410,
783,662,871,421,382,954,923,197,056,781,141,594,438,082,910,096,192,605,675,
173,837,422,935,754,289,650,689,243,072,822,143,503,433,201,729,993,342,061,
262,320,064,303,588,528,836,116,809,225,739,162,342,341,224,096,071,247,877,
306,725,507,898,080,162,534,977,430,384,105,939,302,350,146,589,279,877,243,
592,734,314,854,943,632,755,824,890,145,594,145,983,386,281,904,930,033,741,
735,376,304,973,224,775,150,684,303,416,229,330,356,720,048,352,937,415,388,
253,392,545,638,824,321,901,851,858,623,930,911,493,876,255,696,607,582,593,
468,110,492,836,253,577,434,786,427,604,895,825,503,699,066,757,304,804,572,
786,545,733,134,442,047,399,443,621,893,558,884,461,398,839,853,943,808,432,
739,281,207,497,166,197,545,430,112,912,137,972,216,892,385,002,946,399,079,
842,086,424,830,887,203,330,655,461,764,713,370,654,764,135,460,942,955,748,
877,279,374,791,213,124,825,318,157,632,560,966,781,763,920,284,320,181,212,
410,423,153,874,599,059,215,115,792,575,738,112,663,701,430,084,620,496,722,
200,646,054,633,478,832,916,297,788,016,060,618,225,522,943,830,527,035,117,
587,467,164,214,396,415,310,067,549,636,620,215,905,404,449,876,150,012,512,
888,763,847,766,155,611,160,982,929,743,987,385,951,112,708,128,742,821,146,
136,374,641,433,932,791,643,722,196,757,355,445,118,448,124,647,006,758,669,
106,725,533,603,016,783,908,033,904,102,253,804,845,847,192,363,435,264,649,
953,863,801,486,315,149,257,481,219,104,613,874,271,108,657,395,693,308,366,
166,257,550,813,949,726,755,490,892,951,586,732,389,124,567,129,692,661,479,
805,092,231,900,713,084,937,513,115,212,021,004,003,775,044,774,197,907,074,
272,891,173,234,363,465,236,414,295,011,454,511,482,071,024,462,191,160,688,
868,338,474,798,698,029,246,569,722,001,673,945,040,145,696,167,554,171,213,
364,658,099,852,363,855,429,131,860,256,206,599,522,531,993,260,465,830,234,
445,317,751,324,254,208,293,143,080,364,252,929,213,297,547,373,871,941,901,
441,594,613,463,236,231,182,683,191,386,456,299,826,321,583,354,612,097,020,
489,812,389,147,372,658,353,111,316,176,912,072,138,376,430,318,548,223,217,
025,117,719,698,886,140,325,793,335,526,427,934,069,959,678,526,989,872,652,
459,664,802,963,140,163,957,178,069,738,680,429,617,033,498,275,669,807,779,
742,893,050,067,196,106,951,867,824,655,507,524,590,904,481,370,407,512,411,
248,907,901,247,330,306,512,790,511,585,125,687,800,534,330,489,464,741,731,
331,039,878,530,704,501,885,559,932,171,839,648,698,706,396,916,840,445,530,
372,930,220,689,992,382,016,556,223,987,921,573,179,506,010,763,511,204,900,
903,391,706,474,361,356,255,626,647,278,925,430,037,868,175,153,897,201,880,
893,619,258,818,783,322,381,684,481,708,267,354,887,763,825,418,478,885,315,
485,919,091,702,853,927,579,891,995,515,862,248,104,073,229,964,791,557,611,
167,158,414,636,708,101,961,556,974,216,529,725,505,273,822,449,340,026,450,
076,402,529,528,920,908,061,530,609,362,121,355,245,403,542,353,306,443,500,
421,411,777,443,776,535,083,899,392,416,431,468,711,730,219,690,810,384,129,
511,649,532,022,856,034,470,396,655,043,052,727,044,018,210,266,011,468,501,
297,448,351,040,902,417,668,134,030,949,209,113,875,202,450,897,005,985,263,
025,205,633,404,690,439,749,174,941,687,507,812,938,708,247,003,333,575,444,
316,275,696,519,872,588,943,910,092,386,433,817,833,165,078,353,803,774,256,
632,713,698,798,287,174,778,376,948,584,906,751,319,283,185,910,482,809,832,
693,319,857,664,582,303,578,609,918,925,726,146,570,255,022,485,955,392,812,
171,635,179,515,129,281,876,161,273,682,780,721,321,128,934,926,449,906,870,
070,010,868,945,604,119,045,312,476,869,219,232,998,009,112,577,676,718,570,
786,890,929,951,408,535,378,624,097,606,607,056,666,737,186,349,903,833,237,
174,203,566,098,877,687,300,707,034,793,564,074,830,726,348,760,713,495,301,
839,307,198,178,002,325,254,913,619,841,821,432,938,986,071,097,157,383,508,
749,717,957,606,958,291,737,565,977,974,849,967,434,412,470,855,967,155,398,
963,344,192,524,102,437,423,016,767,321,557,288,449,708,544,686,203,662,469,
995,892,806,630,861,385,056,058,279,949,188,405,217,061,728,825,362,006,153,
753,845,807,593,596,275,865,504,030,514,213,649,737,311,646,742,701,947,828,
097,900,213,979,914,232,213,326,808,980,310,969,072,167,226,778,743,811,250,
999,237,046,579,627,725,041,404,976,872,032,512,804,893,155,163,476,933,326,
040,288,912,845,788,308,771,175,125,247,975,354,500,298,808,974,702,642,915,
818,125,016,624,964,845,996,742,877,769,588,908,133,411,925,024,443,182,952,
501,180,158,922,283,117,721,314,722,190,845,343,785,130,343,286,712,643,256,
574,497,250,851,255,883,582,148,210,988,159,387,907,951,856,939,591,983,981,
344,268,771,751,418,090,451,326,667,482,047,343,623,555,720,827,454,191,465,
740,147,834,866,116,036,361,205,024,054,990,690,531,085,656,766,842,474,631,
927,029,688,831,496,466,928,934,939,831,011,745,426,490,401,846,467,638,370,
867,817,678,910,167,506,124,493,787,469,230,100,340,644,360,957,915,708,157,
109,169,532,140,838,880,130,416,662,974,245,026,561,269,751,663,859,744,072,
417,558,626,620,380,348,310,904,843,801,628,651,593,529,147,989,879,907,150,
853,063,671,085,920,574,879,430,831,766,903,677,205,567,677,840,664,480,794,
391,279,485,986,758,491,692,072,459,365,657,249,612,036,112,207,637,533,412,
436,791,657,017,335,191,371,108,224,030,515,432,273,477,045,287,551,228,987,
542,865,113,830,162,300,998,651,583,231,207,453,979,427,109,428,536,491,568,
041,228,257,937,991,858,744,577,289,082,730,624,198,388,868,545,617,089,351,
541,708,692,970,565,593,352,307,958,327,614,116,638,227,391,777,441,859,519,
094,703,446,675,532,717,655,901,887,881,192,823,390,641,350,461,891,233,185,
804,800,019,883,958,838,987,939,138,507,204,750,906,209,385,411,692,067,380,
978,311,341,273,296,769,702,936,171,431,634,762,860,471,391,036,809,354,611,
176,451,237,304,344,335,802,783,903,712,261,922,607,496,730,297,776,657,764,
903,832,792,366,447,946,828,192,658,739,154,337,134,472,784,825,304,745,656,
059,579,135,895,413,596,160,951,686,893,605,204,170,988,537,780,939,159,511,
058,131,250,996,848,773,176,177,205,689,955,329,740,939,848,402,097,444,321,
046,769,410,259,078,282,046,195,482,373,040,642,926,494,197,501,539,938,525,
396,416,541,399,908,807,681,425,806,195,101,762,093,919,783,626,542,254,343,
598,809,086,563,757,203,737,270,359,791,922,975,503,025,420,222,658,482,816,
793,114,683,255,103,387,939,601,146,943,919,536,976,851,489,009,871,953,657,
833,799,825,422,251,455,283,191,417,539,697,109,959,739,008,799,521,768,370,
596,945,533,355,087,167,100,021,925,812,970,405,845,581,440,147,883,397,720,
826,253,270,400,953,749,684,765,167,340,819,619,506,892,874,378,715,091,499,
819,464,034,879,171,634,804,901,420,776,677,350,302,096,979,149,660,923,073,
760,137,872,648,790,093,455,945,710,319,362,993,610,263,107,895,097,639,676,
598,773,542,388,336,460,424,163,918,021,490,560,080,916,894,845,222,829,722,
893,938,412,515,150,959,753,183,366,250,582,913,683,617,443,038,479,815,316,
963,339,253,596,961,085,881,743,342,830,979,502,593,502,487,256,869,412,644,
022,333,422,885,327,121,285,402,449,489,841,364,706,921,698,628,752,282,274,
936,005,664,669,270,837,002,702,145,453,690,131,647,325,431,733,531,311,552,
902,324,701,673,313,822,224,925,139,511,864,839,609,671,483,618,936,270,572,
972,546,725,328,552,090,100,046,480,209,737,781,204,615,877,428,185,645,652,
374,326,723,728,920,550,739,136,264,367,777,675,984,453,928,032,132,486,377,
109,178,797,779,510,958,737,429,569,178,236,184,591,283,187,193,824,937,609,
990,796,729,562,366,919,384,905,712,406,966,403,689,497,301,801,430,190,769,
358,911,466,890,547,885,274,802,487,939,285,472,334,462,878,234,219,757,524,
304,040,891,849,020,287,132,708,894,033,366,796,062,297,196,728,329,786,844,
133,013,605,158,972,679,257,416,259,304,065,626,355,696,338,985,648,020,917,
638,669,791,735,591,350,847,498,779,579,631,382,676,176,980,657,923,857,599,
469,412,795,822,718,838,449,866,000,834,447,367,492,582,033,530,235,493,459,
098,227,062,215,061,660,074,523,644,111,573,266,304,458,106,528,156,844,272,
414,326,650,906,587,305,649,272,673,636,272,038,486,747,065,189,642,589,011,
532,384,321,490,643,511,086,130,178,385,416,406,688,299,004,531,274,686,918,
416,294,562,023,189,533,729,704,399,475,035,953,050,529,154,755,948,509,817,
891,261,968,724,412,924,376,125,253,238,063,640,889,651,368,599,113,223,247,
123,500,386,847,770,639,458,783,282,541,003,945,298,384,296,842,066,688,328,
628,097,897,296,197,963,257,197,215,051,099,823,982,111,070,517,026,494,306,
630,282,062,681,397,673,412,541,928,913,864,757,676,981,050,646,443,641,812,
546,348,366,659,252,836,333,866,114,786,065,117,771,413,450,319,179,928,669,
920,689,007,269,053,733,806,360,202,294,019,674,908,016,767,889,147,660,121,
065,060,539,722,085,587,400,521,429,369,991,317,166,416,473,936,493,996,391,
624,280,326,730,974,379,031,640,225,362,177,851,262,329,299,527,251,150,650,
694,587,398,924,767,284,281,858,577,959,263,492,006,873,744,816,590,673,256,
290,785,312,174,122,802,628,776,799,101,598,067,709,597,349,527,293,061,679,
631,319,714,857,126,541,905,693,553,762,800,505,524,551,701,761,979,601,016,
521,063,349,750,990,100,486,065,873,114,853,909,118,074,823,926,977,195,421,
388,812,260,530,488,863,557,480,927,710,132,148,014,803,829,460,158,058,918,
068,579,478,281,519,103,660,195,838,944,068,559,378,950,130,740,635,233,396,
387,053,236,448,885,362,224,957,984,574,609,327,114,666,770,569,506,537,156,
433,091,616,063,621,847,428,236,587,571,476,058,920,771,004,114,830,421,870,
546,440,732,734,878,792,371,967,625,477,567,144,759,093,806,274,012,520,179,
735,482,722,640,220,789,834,674,158,968,004,803,364,640,860,225,742,684,265,
253,319,206,631,528,714,312,418,258,875,035,356,112,623,266,991,096,441,693,
311,013,215,796,757,591,214,654,297,645,163,623,755,175,669,530,998,253,549,
414,259,392,826,630,287,041,549,493,166,101,882,089,795,506,340,619,149,271,
013,005,287,418,361,720,711,732,222,212,352,660,183,652,746,250,745,430,672,
583,972,499,021,224,870,837,984,351,694,900,261,209,117,372,568,069,455,886,
198,125,191,361,214,351,274,853,715,551,975,285,836,685,001,722,889,194,007,
518,407,010,283,934,916,302,800,742,211,498,163,697,210,358,191,902,453,212,
679,199,960,860,293,762,938,468,910,081,796,444,080,883,592,989,418,261,619,
660,302,219,661,134,475,153,091,093,498,716,904,422,250,602,138,675,723,146,
167,429,606,472,807,457,586,191,611,697,964,866,279,773,985,579,994,852,848,
804,191,606,131,143,954,169,602,740,910,372,035,016,043,043,557,625,705,820,
410,835,637,346,198,073,132,545,565,488,192,254,775,399,667,160,648,841,121,
198,418,457,574,289,720,803,258,701,724,288,539,229,803,845,734,092,155,166,
187,579,810,279,533,005,768,959,941,648,442,934,257,000,023,858,746,882,265,
524,434,765,744,445,720,565,273,298,820,699,583,092,413,927,812,686,560,415,
422,588,933,122,965,399,207,701,251,679,876,569,128,202,060,669,718,178,504,
783,642,616,795,723,086,669,984,407,380,118,899,386,391,539,442,839,280,582,
582,684,863,354,310,149,766,037,575,651,831,912,899,758,606,388,307,040,474,
403,559,895,935,577,490,838,421,384,656,556,893,496,991,337,504,818,072,820,
064,957,959,474,977,205,080,575,332,779,924,210,846,239,251,865,350,584,445,
586,658,510,565,517,088,263,925,987,895,222,386,923,293,987,736,683,567,885,
339,289,347,384,912,861,451,991,647,103,783,007,082,543,704,055,889,477,784,
115,279,852,454,429,529,776,652,087,056,922,444,255,871,051,451,921,182,075,
947,143,798,023,093,716,916,944,055,937,092,491,955,513,938,543,171,103,115,
507,604,316,394,636,430,972,595,815,030,171,796,653,526,758,106,367,872,817,
940,219,919,639,670,986,154,298,385,369,602,377,022,107,057,142,166,522,416,
632,511,374,267,694,641,342,600,755,116,956,084,087,141,430,632,007,906,710,
903,323,811,687,454,970,165,148,998,425,686,590,663,485,555,670,927,137,141,
962,136,467,070,174,505,925,988,653,716,753,682,617,661,040,389,456,826,008,
409,767,959,132,885,570,404,630,942,034,613,849,519,866,804,600,147,753,447,
044,959,155,858,427,672,847,641,669,599,570,293,211,639,392,135,900,278,095,
653,059,703,217,707,033,164,239,151,349,092,402,147,408,915,623,575,517,954,
071,983,662,692,368,920,859,534,288,191,943,410,139,422,045,737,143,056,397,
521,400,856,689,379,360,739,506,178,130,931,539,736,988,989,730,009,425,126,
477,655,414,354,369,753,098,372,265,191,567,820,574,167,934,544,047,059,296,
931,910,709,242,592,618,052,285,401,784,358,299,238,151,082,207,793,416,218,
133,913,129,672,514,933,627,196,178,866,420,110,719,150,770,441,194,110,811,
783,248,565,113,775,841,867,910,391,629,655,320,726,764,570,190,672,669,763,
250,346,256,027,191,357,241,208,271,463,849,105,760,038,245,002,128,742,980,
331,702,470,402,096,605,480,025,608,442,118,783,130,754,320,954,982,767,463,
465,370,155,352,615,960,458,688,752,286,344,628,572,808,970,087,808,005,790,
299,135,103,018,299,805,671,739,374,617,985,744,089,907,527,474,327,783,883,
343,481,552,723,427,454,827,203,719,277,357,928,114,067,779,716,425,097,005,
340,587,365,221,540,821,782,960,209,230,176,447,067,728,205,576,329,960,545,
950,160,498,436,999,408,249,099,730,966,193,561,834,551,021,540,071,923,968,
019,297,055,320,834,014,892,166,612,083,264,149,937,517,316,710,305,754,676,
034,896,508,670,487,159,792,553,753,525,865,452,532,809,924,170,434,493,523,
463,622,220,445,544,956,688,495,627,410,353,332,938,661,720,775,612,508,913,
470,171,722,903,710,261,991,464,988,930,705,695,376,066,747,884,919,350,440,
263,016,513,542,523,756,031,564,306,106,567,763,310,473,939,675,479,609,090,
084,579,625,583,349,705,203,486,102,418,783,173,310,549,651,557,489,984,984,
222,596,590,123,190,249,124,932,861,888,995,854,086,446,427,108,000,999,966,
079,591,006,339,115,209,881,302,327,698,833,329,628,163,908,758,698,183,915,
133,497,024,114,471,454,146,312,179,179,297,917,402,333,898,344,652,728,986,
076,069,870,872,742,473,851,806,525,411,526,848,445,447,176,349,137,294,809,
089,192,573,914,301,710,579,786,362,298,496,727,387,841,088,771,142,493,439,
766,439,350,075,373,066,035,639,972,078,062,790,086,701,936,781,650,316,229,
988,172,309,654,402,482,264,086,244,708,782,617,485,114,705,339,068,639,317,
960,989,517,879,437,430,392,652,466,820,382,187,227,397,371,919,743,255,048,
221,083,967,558,067,095,824,170,728,657,715,413,680,718,778,208,050,138,911,
121,034,208,434,798,486,916,832,108,308,474,588,860,291,305,487,447,936,796,
900,040,867,136,560,872,095,726,758,137,589,348,662,505,900,391,795,714,935,
747,357,738,163,816,380,571,853,370,660,615,786,875,594,925,201,374,202,784,
046,629,375,686,638,834,426,142,294,749,763,906,521,451,290,600,622,949,398,
893,758,831,244,278,755,766,442,821,113,871,775,726,917,334,361,691,803,099,
762,749,073,859,409,988,612,311,246,616,407,147,117,004,604,285,428,414,329,
434,985,093,623,842,287,172,867,640,551,894,418,010,507,474,016,039,078,229,
027,523,155,179,435,400,094,286,205,454,402,182,523,942,747,994,921,370,427,
600,290,262,660,625,064,225,334,318,371,248,826,195,356,406,289,282,490,672,
908,142,153,033,004,768,198,730,627,418,654,375,577,773,644,012,426,306,751,
860,486,504,246,417,685,093,236,497,386,134,200,443,690,145,258,802,707,535,
126,529,777,217,351,518,314,296,888,887,235,852,729,321,471,157,184,868,795,
700,282,061,762,212,174,500,947,948,478,509,884,637,587,680,121,735,366,282,
664,676,029,327,371,421,850,243,085,878,958,033,513,298,263,431,842,596,904,
578,170,179,922,065,760,028,263,982,021,714,238,611,120,265,208,690,414,921,
616,869,110,550,272,675,407,720,922,621,171,875,807,698,701,986,691,966,439,
379,505,777,414,458,761,540,521,803,480,128,881,166,769,041,334,009,956,588,
729,576,382,915,725,773,303,769,257,656,117,678,520,989,770,096,873,779,314,
261,293,334,261,318,310,571,958,563,592,727,839,205,826,336,535,059,223,366,
697,583,516,108,410,142,410,977,458,759,681,263,567,969,294,447,547,432,651,
665,709,641,267,492,819,780,666,268,678,508,735,314,548,980,541,496,164,668,
821,767,899,587,754,762,929,824,642,752,446,683,772,791,446,378,846,064,822,
497,479,867,816,784,600,168,407,813,084,641,407,209,319,807,110,827,463,742,
962,253,383,056,483,430,354,767,296,769,499,351,521,475,183,538,001,285,332,
686,059,497,458,043,307,997,271,484,153,453,544,796,989,841,923,373,200,980,
452,076,243,641,779,192,731,250,209,025,556,348,470,189,072,632,644,238,842,
271,373,460,183,345,832,665,494,809,911,856,348,773,006,185,137,053,601,132,
236,313,856,666,302,815,012,921,921,891,566,858,215,931,968,428,063,657,451,
636,768,540,771,717,486,500,893,272,055,650,999,092,821,654,758,142,686,908,
322,903,483,503,479,729,667,762,674,184,770,349,801,730,117,899,219,141,902,
875,141,911,338,400,791,069,291,735,486,886,011,845,213,942,192,792,272,570,
758,269,752,589,247,929,121,208,553,529,783,780,262,211,426,387,971,428,347,
991,464,533,426,315,865,787,633,586,016,696,085,263,423,441,897,077,527,581,
422,897,934,866,851,057,111,656,738,610,883,847,131,727,011,315,055,442,368,
101,246,279,989,593,629,507,498,114,546,308,219,107,276,272,362,760,461,692,
741,243,053,775,593,749,635,742,903,427,318,350,027,359,150,961,098,735,296,
788,155,862,247,423,813,343,427,448,707,679,950,809,578,302,937,031,296,600,
934,586,285,682,249,164,538,825,632,527,443,088,210,858,347,308,575,025,418,
592,232,918,150,680,806,311,575,959,373,898,786,259,726,682,687,592,049,979,
846,695,433,536,613,618,950,851,389,533,539,505,398,466,109,183,478,312,035,
637,512,632,844,048,192,254,533,241,476,883,483,085,028,286,632,180,115,890,
796,912,802,467,731,092,907,569,245,945,030,773,273,276,987,504,129,708,908,
491,641,645,458,807,644,244,164,692,165,984,249,548,575,387,436,779,440,323,
293,687,871,041,859,179,287,037,297,434,589,055,983,639,082,607,105,712,469,
033,220,919,991,027,552,715,176,766,493,277,681,285,355,221,827,982,803,546,
842,890,634,468,822,366,245,205,213,337,577,672,421,724,611,491,954,390,090,
574,117,502,960,834,252,086,539,227,183,139,426,087,354,653,150,468,018,580,
596,899,960,188,833,526,096,407,356,683,667,104,484,832,789,640,433,500,606,
047,404,761,563,933,093,227,636,235,763,615,703,000,931,643,174,127,662,425,
962,258,179,968,264,359,027,957,435,366,251,665,914,951,311,559,378,005,182,
196,407,538,498,041,888,566,858,985,295,231,507,490,473,140,152,306,034,910,
145,861,074,395,455,084,294,999,155,428,455,004,532,486,541,808,069,364,439,
040,869,095,972,883,707,556,416,025,930,885,231,267,814,374,610,367,163,976,
307,503,521,067,337,877,547,763,175,950,003,071,270,641,780,550,007,890,391,
146,723,347,457,846,110,788,256,381,666,486,236,166,395,811,559,498,063,207,
900,888,048,980,629,050,143,063,054,235,281,395,672,126,690,561,966,157,098,
531,486,250,687,104,177,157,523,066,818,508,784,113,121,213,992,060,831,576,
090,094,984,183,768,666,943,879,713,024,105,339,348,918,549,872,979,681,291,
134,458,281,850,878,040,397,780,489,569,051,231,439,887,362,021,282,148,135,
397,021,252,821,644,572,740,870,632,148,310,591,301,638,859,097,110,100,542,
896,011,557,432,624,639,554,244,481,064,593,198,107,388,325,285,647,923,917,
150,694,803,373,635,833,230,131,918,382,497,521,810,015,001,185,728,637,887,
769,928,207,462,691,331,520,689,507,825,886,684,101,356,220,859,339,753,684,
077,718,668,147,466,585,527,603,282,772,307,100,894,349,879,084,363,986,667,
062,718,260,613,868,407,614,431,585,242,922,373,683,493,575,213,016,620,228,
237,334,604,342,215,104,550,558,972,695,521,610,625,869,103,586,533,308,657,
646,593,543,140,254,413,241,350,989,258,867,842,867,863,490,071,078,762,512,
074,564,575,889,123,917,032,313,183,429,592,501,737,267,383,617,379,212,240,
167,125,337,430,350,070,685,362,968,200,737,028,722,964,768,429,751,208,136,
323,152,456,213,646,528,174,919,325,428,284,435,166,315,738,271,094,177,818,
957,275,827,031,694,835,601,809,785,329,890,559,916,246,397,237,359,832,099,
082,834,137,294,482,327,015,045,331,326,064,518,381,589,901,527,414,243,212,
407,543,031,926,720,855,938,436,301,701,985,979,975,860,753,189,198,499,252,
480,129,683,978,890,015,541,519,451,017,769,863,171,636,471,151,684,593,865,
413,268,039,229,183,222,232,318,798,964,083,828,690,645,418,492,335,530,353,
307,766,118,571,710,510,943,977,006,201,948,623,771,678,693,683,727,334,987,
406,824,985,141,541,321,399,665,321,516,681,057,490,563,375,928,359,887,071,
559,568,885,239,141,167,653,224,696,713,823,651,535,548,328,885,247,637,301,
643,546,398,297,858,897,350,559,750,461,732,690,362,262,366,870,544,080,200,
756,267,786,045,882,354,478,794,105,028,262,481,502,204,465,655,285,842,567,
772,437,945,927,097,702,361,728,551,570,515,854,156,030,746,326,831,700,711,
009,160,548,827,502,753,676,211,355,535,509,717,040,901,144,575,567,595,167,
562,630,518,469,099,154,626,326,692,960,357,347,711,953,666,138,138,396,871,
043,209,999,795,638,416,904,384,027,463,941,458,057,791,904,530,433,722,228,
908,194,675,228,379,728,603,426,650,729,823,476,362,988,001,507,454,498,240,
524,398,933,164,820,097,328,661,476,098,118,310,934,903,894,924,803,939,158,
612,878,794,102,438,561,518,478,895,283,259,420,722,137,180,808,411,232,726,
575,025,558,238,674,023,248,640,382,267,459,151,856,853,542,350,035,366,643,
353,310,055,358,374,228,202,171,551,971,476,134,305,469,231,416,993,750,107,
064,781,928,612,391,926,940,037,464,494,907,058,250,875,254,812,948,891,716,
041,186,331,754,108,251,423,731,060,989,480,655,447,536,449,233,864,492,019,
515,663,102,461,981,631,792,019,036,342,922,731,219,734,703,451,391,893,887,
914,769,468,591,266,248,978,484,507,391,885,458,797,737,397,477,912,181,011,
080,858,624,150,480,247,416,386,650,925,598,699,137,407,311,546,327,599,134,
591,805,726,557,596,244,744,448,020,147,744,400,621,176,246,999,432,443,283,
947,044,124,015,898,039,821,436,828,976,763,164,508,999,720,099,881,827,962,
422,766,044,122,244,079,639,028,876,412,039,527,547,082,315,496,006,792,785,
534,574,322,987,204,823,054,144,339,002,371,146,740,350,789,183,814,717,137,
914,899,892,474,165,652,303,604,960,098,538,392,778,543,605,757,938,227,080,
994,874,943,082,648,447,959,647,398,718,584,850,655,393,239,423,923,767,109,
097,346,658,855,508,185,187,441,535,337,083,448,480,207,940,250,411,759,159,
238,525,276,655,167,548,357,741,094,691,059,765,830,423,378,928,548,800,960,
476,971,633,228,029,004,838,758,686,126,345,146,294,189,478,812,680,812,131,
854,167,361,824,337,998,525,877,919,379,525,986,049,460,623,683,629,166,209,
727,481,566,502,834,527,965,130,381,125,685,350,868,643,436,315,508,183,581,
970,044,428,880,957,530,710,968,568,249,852,424,649,715,334,216,808,714,868,
563,927,797,032,136,792,994,773,324,434,319,325,958,610,443,456,190,452,332,
223,540,399,020,145,038,712,203,979,623,140,481,329,683,645,151,187,582,533,
333,427,756,487,782,184,766,555,302,549,507,089,552,756,427,153,263,934,517,
360,164,510,662,793,323,138,249,331,046,746,131,967,725,454,069,394,815,730,
226,990,410,394,464,756,068,496,110,591,848,161,328,051,393,823,845,972,508,
756,131,963,628,309,278,919,972,884,821,438,730,565,445,844,079,347,157,399,
630,163,861,171,382,981,183,521,420,947,219,271,083,059,622,383,607,510,171,
376,572,193,383,310,163,538,524,244,602,499,973,875,885,183,523,941,262,756,
048,868,600,355,205,204,768,534,409,496,700,987,635,923,331,099,952,568,625,
864,007,400,609,224,827,225,340,264,826,123,525,612,416,481,241,204,357,946,
738,985,819,585,773,422,550,522,642,453,560,056,692,510,445,290,773,467,494,
045,862,422,477,636,859,406,577,772,259,757,081,366,272,085,426,330,915,604,
535,342,358,554,597,147,821,724,600,161,242,837,112,426,614,416,858,336,815,
554,552,197,189,215,648,378,715,294,887,831,628,705,753,074,869,292,809,560,
266,188,927,161,106,106,116,494,850,509,999,716,741,361,939,660,078,684,742,
574,136,591,074,072,209,967,878,488,327,294,517,191,260,742,748,159,479,815,
382,802,684,210,060,544,777,710,725,393,477,191,068,752,652,357,777,078,605,
622,610,785,014,867,805,820,664,846,224,532,748,234,787,047,852,452,410,535,
821,274,454,275,853,054,712,598,675,562,926,755,381,893,933,169,708,139,769,
976,331,338,943,980,830,618,855,156,952,126,557,309,558,636,794,316,772,460,
566,661,788,611,979,082,838,138,101,539,236,994,837,055,093,942,339,398,847,
628,224,049,114,069,630,648,192,623,367,795,458,695,333,259,160,850,619,013,
331,521,007,993,025,934,539,935,644,962,839,625,621,494,599,993,652,327,250,
889,673,415,341,500,892,945,822,913,741,102,534,377,265,018,887,616,348,070,
615,350,075,527,124,962,278,600,525,309,509,995,508,537,721,702,091,105,282,
562,092,354,744,377,385,849,206,239,642,052,160,001,748,770,149,930,619,772,
690,363,999,312,946,075,069,643,314,713,882,052,511,387,593,083,300,583,970,
248,727,034,522,168,421,479,568,564,734,988,419,768,345,211,147,222,489,442,
455,100,509,060,645,092,230,610,091,122,319,530,794,564,986,631,622,406,336,
739,186,758,187,937,598,306,804,823,622,303,192,309,677,804,271,731,117,328,
872,733,720,829,395,529,789,404,296,577,879,235,965,785,760,008,275,193,531,
558,620,756,658,973,985,327,787,418,299,409,360,341,913,038,752,401,706,593,
099,663,516,722,053,565,927,391,643,155,096,598,652,803,480,524,721,872,941,
553,845,873,266,720,207,838,618,848,479,048,932,079,555,448,796,133,270,653,
047,514,346,815,501,141,014,462,942,106,616,090,189,302,726,927,866,620,921,
808,101,187,922,738,798,750,389,584,093,336,825,849,900,452,091,744,679,640,
321,852,387,530,541,299,464,799,348,528,658,000,086,605,807,863,473,329,748,
258,479,426,107,662,920,027,722,180,071,659,916,843,265,029,163,506,286,469,
554,838,449,857,862,536,579,643,284,846,768,043,848,308,784,022,669,763,624,
768,508,525,325,511,269,058,654,748,169,973,176,797,966,145,857,883,708,560,
992,355,271,163,728,489,975,308,855,518,936,972,657,491,403,262,090,714,024,
005,841,537,564,946,083,921,598,861,581,090,916,291,123,239,238,701,425,099,
295,565,978,724,796,161,502,376,008,354,432,824,875,695,868,885,323,277,054,
464,896,512,005,863,880,084,796,183,775,524,815,916,541,265,665,632,215,599,
057,390,330,427,368,658,054,713,448,216,535,770,560,618,557,167,133,870,749,
840,467,014,302,051,665,675,050,208,764,552,392,262,206,902,120,202,850,083,
921,535,829,313,957,759,970,945,970,297,788,023,125,084,255,929,912,514,714,
606,908,391,626,607,288,410,208,715,848,119,122,738,997,147,540,230,088,640,
647,767,070,024,843,670,268,083,184,870,479,048,533,032,336,700,359,873,639,
865,992,383,954,036,854,338,651,651,129,319,250,783,059,764,565,045,732,337,
361,853,639,268,609,852,292,152,245,951,904,226,395,848,466,529,786,282,558,
263,069,822,853,440,874,223,254,147,088,686,871,159,174,350,598,570,407,513,
463,310,142,044,500,414,160,851,206,787,346,767,757,899,241,853,106,671,523,
870,887,837,112,525,455,485,003,072,795,584,830,744,576,954,358,241,093,973,
735,891,216,505,679,620,337,553,634,040,009,620,687,214,995,537,826,540,024,
112,191,098,376,751,609,389,808,326,194,146,509,218,172,163,756,118,089,001,
220,825,106,673,887,213,314,192,785,481,436,623,641,626,823,019,643,246,152,
926,232,948,924,199,655,635,066,699,615,902,868,011,827,223,511,283,313,229,
346,853,303,635,617,648,378,243,025,901,537,054,070,922,020,259,243,857,606,
766,601,389,159,703,891,380,780,233,950,586,237,934,530,868,889,188,996,557,
681,210,387,979,029,568,366,224,466,461,619,873,149,797,268,650,094,119,511,
002,343,042,146,543,150,731,197,928,693,647,268,974,707,491,830,986,931,431,
357,742,827,284,405,116,616,492,561,542,666,662,085,987,608,356,953,175,061,
522,564,017,185,785,300,672,396,544,313,329,563,726,227,123,166,720,455,385,
578,177,090,993,635,247,902,448,866,027,922,025,336,555,862,150,904,538,112,
092,316,202,904,824,958,137,770,095,962,418,048,225,426,712,309,164,028,849,
509,166,288,193,245,575,205,387,694,848,215,816,955,434,925,367,281,859,390,
003,228,183,503,142,009,176,634,524,629,624,969,508,820,930,461,362,404,420,
482,507,540,609,628,208,103,645,386,967,612,876,870,061,290,169,111,108,045,
719,708,205,811,531,177,169,161,599,187,343,485,807,432,274,287,504,340,798,
663,450,698,726,269,592,535,000,672,689,921,842,129,992,539,236,650,675,604,
883,379,503,942,753,270,696,006,724,590,319,873,290,357,265,961,142,441,458,
520,944,669,885,292,307,767,856,964,001,591,357,443,482,002,492,330,767,708,
553,007,113,767,230,157,910,465,368,078,130,561,936,288,887,548,700,273,930,
257,747,162,171,180,274,401,958,085,911,434,729,285,955,647,544,758,842,913,
190,998,123,442,429,130,997,074,348,192,600,782,221,204,330,969,766,114,571,
748,632,953,590,746,708,803,578,545,595,694,245,899,053,476,524,044,351,622,
306,611,128,917,918,348,663,718,214,100,113,724,830,863,884,380,806,764,768,
297,360,163,526,805,159,529,466,265,901,237,984,985,378,509,043,823,295,988,
358,032,451,934,634,185,381,188,103,213,620,756,017,068,058,769,403,860,840,
841,818,396,546,017,215,504,052,393,444,641,035,791,872,091,116,154,132,976,
299,045,409,863,952,671,588,943,723,692,391,440,886,093,925,142,146,836,922,
951,330,599,317,386,871,441,599,934,776,448,605,042,671,928,873,275,324,501,
672,213,237,119,551,233,792,793,137,577,098,741,002,401,844,250,257,964,457,
740,168,495,753,172,680,940,135,413,746,001,463,924,747,642,522,067,979,211,
399,277,742,371,911,386,023,544,431,593,882,126,458,461,038,836,298,730,339,
278,703,655,392,548,085,405,756,193,957,747,728,273,784,170,227,565,367,501,
984,411,436,801,202,936,006,062,632,845,354,706,442,132,538,113,488,937,738,
115,705,132,823,616,342,507,720,833,844,758,225,525,578,429,024,840,314,084,
228,038,399,105,814,710,276,920,068,372,476,617,003,620,831,375,816,293,929,
615,971,681,519,545,110,941,429,424,352,171,401,322,379,147,835,772,169,552,
718,111,101,500,029,027,443,159,646,802,577,357,792,194,925,559,135,302,119,
717,612,036,396,714,449,411,210,971,033,269,165,344,546,266,293,278,674,327,
889,878,171,967,214,507,567,328,452,617,304,053,103,935,266,119,073,769,052,
493,549,433,276,475,596,360,425,764,252,484,567,774,261,352,031,582,217,557,
178,904,716,110,468,650,548,839,387,856,717,742,309,580,277,123,191,918,630,
935,512,887,893,966,828,286,399,719,833,737,145,888,813,288,784,902,236,584,
191,502,397,192,928,273,662,447,427,196,163,795,596,050,509,779,242,271,946,
892,283,170,725,571,310,618,240,187,787,256,238,221,179,949,832,304,737,334,
559,274,493,771,179,975,843,172,892,617,105,850,453,894,259,597,245,289,027,
773,805,503,431,796,645,661,517,352,412,484,728,556,409,953,750,565,999,899,
394,417,127,580,551,719,684,415,340,570,979,216,677,593,786,566,566,922,679,
050,220,150,969,211,475,494,523,506,253,711,462,978,221,298,148,313,211,484,
560,104,143,466,905,725,513,936,835,076,766,749,477,493,036,047,321,947,318,
101,486,012,780,816,208,985,124,296,843,188,479,379,770,044,353,538,463,776,
019,749,713,895,718,947,569,385,390,821,034,496,905,212,339,007,530,774,804,
711,910,737,038,935,108,450,710,675,091,114,725,052,533,432,159,858,737,612,
184,694,332,542,636,984,500,146,027,397,776,169,891,387,809,502,222,361,946,
177,870,286,825,316,871,262,676,739,531,537,091,005,402,648,891,585,737,042,
549,658,982,034,582,532,723,053,438,446,207,507,432,878,802,755,737,950,599,
967,017,302,828,114,415,061,638,748,963,320,963,025,133,969,575,479,643,343,
454,952,739,437,713,095,125,001,329,914,242,550,629,218,325,483,607,782,775,
222,233,183,714,192,336,407,276,074,853,722,423,669,857,513,568,687,773,326,
480,719,306,910,968,784,465,601,481,745,573,163,522,977,101,853,932,295,069,
678,732,437,841,736,567,277,125,489,505,235,658,975,837,461,517,045,591,921,
411,394,204,226,062,524,936,348,822,856,144,989,801,002,758,469,285,210,462,
819,898,828,609,085,544,660,144,033,460,807,758,491,682,993,306,487,438,152,
802,933,424,685,478,509,894,418,456,374,492,777,805,488,769,076,104,572,969,
105,526,785,011,030,277,406,094,443,227,914,609,026,680,640,223,177,812,358,
849,030,640,137,100,725,742,910,113,593,195,606,503,347,338,857,219,945,624,
834,596,802,393,140,450,770,035,150,929,494,094,586,248,463,081,058,239,170,
616,536,171,838,030,964,060,898,220,809,623,416,476,132,850,228,185,776,119,
640,029,862,889,270,409,169,587,684,002,350,589,337,088,472,391,672,025,165,
908,558,544,169,459,724,600,777,388,228,611,983,022,921,179,240,319,005,469,
764,819,405,636,290,302,503,600,093,866,375,515,340,562,475,230,858,071,131,
183,759,804,914,237,119,802,927,116,316,317,704,641,554,780,322,837,374,069,
852,780,318,586,955,746,629,737,249,306,497,739,735,829,418,025,572,857,760,
140,081,382,935,994,308,053,187,319,714,782,039,437,250,871,868,386,805,444,
183,614,333,373,614,791,165,037,849,605,572,475,605,159,773,442,931,193,177,
236,823,984,860,577,229,928,712,892,541,733,640,453,176,833,569,385,516,926,
680,139,245,994,248,134,696,953,802,775,437,456,633,384,341,180,853,267,360,
073,436,716,026,676,972,831,638,965,334,914,161,153,327,919,926,324,587,748,
076,141,471,058,872,777,040,058,514,724,926,220,265,777,452,896,495,827,236,
138,855,963,833,423,535,646,113,711,397,354,712,957,486,842,103,834,190,655,
397,146,515,180,774,535,951,008,948,089,746,129,547,027,491,977,783,790,030,
482,411,364,960,428,083,099,884,392,789,851,112,683,908,454,305,099,886,801,
024,402,691,020,993,535,896,985,066,334,556,806,003,729,498,868,407,392,134,
452,386,583,554,277,933,611,082,737,555,033,999,042,916,236,689,489,616,407,
724,157,088,106,751,898,243,286,133,921,663,451,567,605,261,635,633,896,412,
029,692,028,223,994,606,537,757,544,586,708,904,109,709,451,135,213,842,382,
116,341,618,839,596,636,280,244,611,843,698,939,499,754,305,531,335,416,889,
215,623,230,623,149,329,399,516,144,212,939,243,321,819,591,835,591,693,021,
060,504,600,618,197,308,354,011,831,611,654,420,302,033,785,874,459,470,054,
483,510,639,612,384,560,240,485,875,953,021,452,283,962,576,053,035,827,712,
150,019,040,267,421,288,827,078,288,244,108,117,651,109,443,179,657,234,199,
489,642,515,301,438,175,922,482,851,102,122,429,337,284,178,406,715,097,108,
093,359,049,354,816,736,231,575,482,503,110,449,177,035,231,017,991,696,922,
510,481,149,917,950,726,868,192,672,757,718,215,391,670,593,488,514,903,405,
190,862,740,529,131,776,879,365,591,574,528,817,772,591,978,149,188,194,883,
853,857,736,998,853,074,834,135,873,979,576,666,271,831,389,335,475,872,325,
169,388,285,282,685,591,791,949,799,664,628,020,625,303,291,344,878,179,254,
111,295,420,124,806,487,872,337,201,061,312,200,712,383,094,612,396,464,246,
211,440,829,182,657,577,741,841,539,268,499,178,526,494,144,239,168,513,460,
805,062,353,246,361,838,911,119,708,608,313,127,157,949,759,225,869,237,246,
679,725,601,881,170,976,519,505,134,459,495,716,681,365,604,499,890,133,082,
787,253,492,957,991,465,335,504,363,879,046,072,765,632,428,121,018,063,102,
057,167,552,979,386,001,869,565,652,045,513,626,138,527,464,334,932,513,906,
508,090,431,016,655,381,348,159,799,876,534,325,263,201,920,602,055,230,394,
912,847,639,041,996,790,824,917,399,523,159,831,040,453,658,838,762,336,506,
280,222,378,750,871,870,171,438,444,508,482,115,520,942,204,688,671,047,659,
786,234,896,987,569,353,230,509,336,995,347,962,640,546,544,449,199,900,897,
210,332,568,165,802,793,709,916,204,833,084,299,684,887,123,627,603,408,411,
850,583,458,202,195,101,936,095,915,472,804,291,473,112,557,564,795,902,261,
704,274,631,809,116,263,832,182,846,616,446,120,740,254,229,991,629,986,969,
144,018,285,723,126,957,237,334,450,518,990,972,907,083,236,725,359,187,949,
961,172,921,086,400,787,438,537,765,642,183,583,731,636,239,163,320,549,866,
802,887,774,265,133,730,316,839,673,891,449,564,147,438,461,763,379,977,157,
351,649,439,810,502,290,052,546,192,076,722,462,491,602,851,338,923,816,671,
199,761,948,582,027,328,573,272,390,451,679,726,632,277,172,833,796,476,828,
588,844,291,562,192,012,879,256,605,941,248,785,618,439,209,011,116,299,401,
875,334,496,185,629,268,277,870,179,390,379,812,604,938,849,160,551,431,035,
124,549,861,304,707,804,795,665,461,726,351,344,511,693,330,105,823,260,173,
876,359,901,703,517,332,667,045,870,282,428,453,312,586,191,558,240,966,951,
206,215,898,091,504,253,856,874,914,879,123,836,710,733,369,492,297,561,612,
656,053,890,160,967,026,296,709,840,079,953,885,894,927,949,686,030,050,341,
973,868,244,299,539,730,786,643,052,318,988,115,355,972,954,682,602,644,544,
151,391,870,045,738,495,960,273,862,893,125,929,442,449,209,057,614,179,876,
903,082,077,984,923,992,818,785,348,733,628,698,201,647,433,137,160,540,492,
914,453,966,559,930,206,300,820,067,991,423,037,844,855,382,237,134,707,359,
779,334,086,209,002,422,768,349,421,638,670,678,244,157,814,063,984,188,135,
706,276,378,214,617,000,890,548,575,946,713,940,207,513,972,527,148,488,085,
751,654,231,817,223,379,515,777,092,617,697,254,193,369,716,456,921,403,886,
727,216,759,551,577,881,287,982,247,874,658,812,490,131,956,545,993,990,076,
840,642,336,160,653,856,228,935,960,929,684,015,273,395,605,042,172,763,332,
061,810,403,837,733,468,724,418,426,789,971,190,084,510,788,570,060,769,978,
167,983,335,123,260,774,127,484,666,685,241,335,937,430,842,097,464,841,088,
313,357,389,466,072,653,938,918,155,823,278,627,743,785,566,425,796,421,785,
451,210,758,915,798,593,309,290,020,642,573,501,349,486,954,914,444,935,751,
531,840,641,900,058,718,782,981,628,290,460,508,148,687,566,691,103,548,988,
209,078,634,512,727,794,439,402,459,992,361,978,574,241,990,600,198,269,647,
956,534,860,888,212,510,147,759,867,624,163,662,469,581,410,552,852,926,054,
841,800,437,044,027,757,224,891,807,448,315,804,604,475,180,226,948,695,781,
700,097,240,405,384,632,994,635,379,260,831,064,001,971,361,683,776,886,699,
871,040,410,134,481,332,495,192,713,519,396,880,561,856,804,011,991,960,670,
314,266,362,629,629,413,604,723,038,516,619,979,377,936,598,526,931,627,879,
227,157,064,931,938,155,851,981,890,260,024,754,657,615,276,524,433,393,317,
493,441,920,721,813,221,241,800,085,893,038,396,294,906,850,843,480,770,278,
832,449,243,072,774,017,495,738,708,164,197,833,773,742,704,502,489,133,912,
681,076,479,606,742,851,403,540,745,565,746,358,959,999,495,474,099,283,813,
958,677,712,714,290,388,147,360,939,573,528,373,829,912,371,680,565,375,877,
024,440,952,042,458,329,521,092,522,836,933,313,545,087,580,142,862,329,160,
463,761,915,893,009,039,927,731,253,330,107,003,112,826,458,469,713,567,841,
437,145,611,068,573,722,814,263,108,630,426,954,198,812,442,660,415,236,624,
120,767,996,871,069,718,397,681,799,445,133,592,564,490,114,142,212,297,328,
253,733,160,354,272,173,416,947,784,256,763,061,602,163,448,933,027,219,704,
884,222,992,769,310,307,980,530,697,980,960,251,683,739,128,243,346,906,993,
390,546,953,113,681,134,448,183,611,007,497,544,709,487,901,906,731,386,890,
478,644,450,197,355,114,526,515,642,424,318,878,835,458,007,764,345,151,373,
388,797,988,058,100,952,206,947,001,702,756,278,407,065,469,659,900,343,553,
262,612,358,727,532,556,225,910,863,564,239,108,341,144,732,175,361,518,900,
305,760,538,879,111,161,642,723,916,974,150,623,734,614,224,049,196,391,266,
057,627,824,980,977,020,558,227,620,243,207,175,768,828,794,717,000,198,513,
950,408,231,147,010,742,594,987,960,904,990,421,079,337,488,932,241,231,853,
612,183,319,848,366,897,574,688,369,547,558,502,566,467,494,553,393,667,208,
241,829,102,380,379,483,376,210,536,502,488,057,295,866,399,304,182,602,239,
440,978,031,653,331,478,496,105,592,965,592,145,975,323,113,344,576,294,145,
228,051,822,087,358,228,887,790,869,419,259,376,648,441,296,361,437,772,084,
482,478,564,125,672,249,410,402,421,704,943,763,768,784,656,511,774,497,711,
618,296,674,050,492,414,334,162,216,693,846,928,353,338,776,943,346,737,717,
280,810,843,161,636,460,266,086,754,653,656,603,613,425,371,971,565,134,373,
992,485,996,963,291,080,976,150,743,120,976,335,776,103,879,074,787,813,806,
295,469,383,117,781,821,828,883,553,955,931,093,525,341,889,267,988,850,317,
304,329,875,027,390,406,792,223,115,431,474,920,989,543,422,796,891,361,295,
373,350,800,361,767,349,067,331,935,535,193,658,856,491,359,215,375,000,362,
495,438,620,642,090,209,025,420,800,016,997,900,215,326,303,276,071,668,084,
708,178,426,222,007,924,386,252,836,373,987,140,506,676,452,315,972,571,091,
134,793,704,876,339,772,658,167,046,766,910,187,479,066,841,604,277,064,648,
609,461,810,781,670,348,707,949,019,759,633,903,794,279,411,835,839,744,860,
632,713,141,410,748,214,518,093,060,137,798,440,420,341,719,816,075,882,934,
079,137,010,763,151,575,808,189,216,663,502,235,925,416,619,425,894,946,908,
450,005,878,176,438,114,516,214,012,200,604,629,093,687,729,491,829,011,477,
710,512,595,822,968,991,924,319,335,666,246,573,407,151,389,219,731,172,921,
968,922,407,761,217,451,178,084,790,073,102,131,778,089,503,149,792,343,015,
255,994,109,322,006,731,200,402,729,553,679,318,492,017,798,205,985,982,634,
685,543,645,720,050,337,219,935,713,304,812,722,971,007,401,164,801,288,928,
338,846,772,491,547,672,814,147,300,654,465,536,590,718,261,171,832,071,499,
111,516,544,683,373,520,884,196,515,348,984,795,678,827,441,726,978,809,573,
274,201,273,550,111,971,404,125,636,757,026,290,658,051,652,017,062,817,584,
138,511,739,060,717,004,931,633,748,285,990,276,488,274,152,542,368,824,433,
728,745,602,930,130,584,435,834,272,212,706,063,166,988,693,937,162,202,237,
415,667,540,430,180,042,842,778,622,116,074,873,662,698,300,334,681,420,854,
453,734,854,347,402,511,709,884,931,585,962,718,131,748,664,228,329,860,092,
727,315,253,134,361,265,958,476,592,699,940,006,405,919,981,058,761,171,527,
012,475,007,021,301,294,238,825,032,167,973,994,005,180,178,265,925,492,739,
460,916,320,236,159,734,778,567,934,246,373,048,794,524,813,390,152,441,491,
444,435,988,826,595,982,068,670,516,160,836,806,304,577,360,146,624,821,907,
850,202,266,063,631,367,854,431,919,878,835,118,667,577,474,705,134,138,766,
824,472,480,273,460,403,284,578,099,148,860,904,956,132,657,302,504,275,506,
930,134,092,238,312,532,908,226,228,966,619,759,920,925,837,495,064,651,541,
669,193,948,373,187,465,191,308,081,215,560,354,405,591,080,609,941,360,641,
656,903,642,059,382,419,715,743,862,011,638,957,811,513,068,531,604,202,307,
503,526,433,349,601,699,915,640,892,549,482,062,254,394,045,247,270,105,874,
543,486,829,066,091,296,932,652,470,225,755,741,757,983,359,206,098,653,079,
621,038,269,210,256,313,437,268,443,349,408,650,463,070,077,978,940,970,668,
522,360,165,272,710,619,501,150,320,338,966,779,403,916,506,445,298,360,526,
280,796,128,150,024,299,757,135,399,173,270,600,345,004,055,173,320,563,998,
468,369,301,122,430,189,843,942,850,586,621,361,399,837,149,906,220,995,059,
800,674,014,510,558,197,355,330,711,067,284,530,561,746,653,064,237,495,817,
969,293,402,310,586,121,350,995,561,296,065,310,678,273,943,133,426,268,839,
332,713,233,863,053,559,436,951,036,554,582,573,950,899,914,265,478,609,344,
482,691,604,058,824,645,793,149,501,342,599,031,176,302,684,682,895,575,948,
695,246,716,058,513,822,589,680,168,579,111,237,556,197,362,320,986,601,066,
305,998,907,201,045,204,696,308,798,604,878,309,066,626,000,198,956,178,510,
929,921,261,851,480,479,348,778,222,861,173,263,949,269,889,815,516,863,624,
956,311,267,589,956,531,023,359,851,255,300,122,881,698,802,415,474,803,913,
633,920,510,245,587,402,106,604,271,956,277,976,378,698,892,428,754,719,648,
877,832,750,662,550,158,454,540,211,795,665,794,386,919,625,854,147,665,129,
366,933,954,781,495,115,889,536,631,834,892,529,968,716,697,860,685,629,658,
587,382,406,751,447,508,320,576,573,044,439,249,295,039,166,285,313,858,042,
573,930,089,888,224,761,670,481,904,834,921,438,981,831,484,718,205,266,025,
875,824,497,283,060,433,326,695,490,776,347,975,749,352,172,832,927,289,428,
158,385,286,617,052,126,888,702,054,521,065,014,591,640,902,667,551,563,006,
000,418,879,005,419,384,520,433,537,296,771,320,337,945,855,234,745,936,897,
897,465,759,757,950,964,193,919,541,234,458,162,136,859,322,810,437,793,889,
509,087,603,025,722,843,196,118,718,546,030,603,941,440,514,717,727,785,830,
053,461,079,516,301,662,830,179,200,305,119,832,775,386,122,992,576,994,214,
612,570,309,634,341,158,564,249,485,647,911,984,253,334,153,680,155,537,524,
364,839,442,627,628,022,360,226,603,092,477,698,118,680,063,396,143,487,368,
699,782,487,241,798,525,705,565,150,950,061,016,401,383,124,782,007,250,421,
623,095,545,468,531,081,586,403,907,501,255,410,733,239,974,348,702,993,053,
779,708,847,807,276,871,637,242,725,171,809,932,173,349,858,464,771,601,376,
637,219,782,369,877,630,038,097,317,317,343,429,164,904,695,058,623,814,666,
384,047,245,652,367,850,993,204,360,903,470,550,984,856,402,240,217,897,477,
707,840,541,919,735,122,526,807,250,487,141,074,522,221,015,586,745,664,860,
668,093,057,206,736,454,228,226,347,115,980,872,641,147,383,624,137,446,356,
243,704,095,727,999,065,539,489,772,821,614,879,271,700,862,039,302,084,902,
311,667,435,309,399,122,587,519,497,005,373,106,803,105,545,760,637,011,287,
156,017,384,703,076,716,434,739,912,067,700,168,677,185,204,644,208,970,059,
787,509,654,392,365,597,903,715,248,591,076,878,348,124,289,487,554,324,388,
662,463,503,132,510,293,680,381,956,275,639,970,621,137,951,014,104,980,765,
204,601,571,460,793,477,352,201,351,736,391,284,861,005,007,167,992,372,598,
143,410,413,288,336,243,209,670,743,187,126,375,920,509,074,339,384,207,057,
241,292,941,086,460,296,326,135,031,604,322,893,180,160,570,008,433,753,342,
836,914,053,933,725,194,106,564,553,991,899,936,179,782,991,202,169,598,120,
204,970,495,367,447,754,468,776,550,812,347,391,863,232,415,507,289,739,868,
522,007,698,363,141,656,340,683,282,770,752,772,616,818,883,613,496,460,126,
894,509,859,870,861,293,748,125,370,404,920,914,978,953,492,471,962,468,973,
511,310,924,190,330,602,099,193,258,288,217,213,144,822,555,219,905,985,338,
604,286,887,331,432,490,351,529,525,584,962,986,521,161,542,280,418,055,566,
243,954,970,963,753,253,305,962,016,831,539,463,575,953,239,522,396,079,438,
128,845,274,905,962,941,832,361,525,643,577,895,523,131,808,579,939,825,997,
862,989,192,857,307,065,181,463,196,932,465,859,302,208,438,024,853,729,593,
624,936,308,102,401,051,404,942,095,749,648,968,777,257,712,816,077,738,974,
213,253,056,994,704,945,597,769,683,930,518,055,584,844,400,682,541,984,237,
053,954,019,408,878,691,966,472,911,575,063,079,139,556,410,856,934,785,256,
305,046,668,716,238,714,340,892,979,883,830,477,459,588,423,497,668,561,235,
516,227,828,198,075,358,009,412,680,457,815,652,303,751,523,282,608,991,175,
941,735,445,528,160,768,388,927,550,204,291,764,261,006,488,257,765,806,345,
909,956,105,737,744,738,259,115,955,214,571,657,743,797,659,164,181,224,806,
942,974,151,663,525,185,956,881,942,405,553,735,903,996,638,197,380,310,935,
697,400,275,367,162,220,339,440,232,160,727,017,293,902,743,398,117,212,746,
622,252,100,826,723,197,412,825,307,069,221,817,084,225,162,971,543,631,080,
704,330,360,340,265,479,092,945,601,587,789,733,247,366,865,262,711,680,393,
666,684,964,485,117,171,431,357,906,229,938,984,604,081,862,257,433,116,700,
628,493,127,285,209,531,108,504,231,144,571,094,914,750,260,018,375,427,925,
159,981,268,424,137,390,725,996,051,832,749,693,622,738,867,052,918,165,150,
494,680,779,052,958,436,776,448,270,341,629,046,344,910,724,377,266,172,830,
738,927,893,642,367,603,387,258,569,020,615,626,198,591,009,024,610,048,700,
406,854,373,611,593,958,057,679,039,963,361,480,234,729,419,593,749,183,956,
851,095,894,096,015,622,357,203,230,578,935,720,403,209,697,515,912,669,742,
733,454,904,267,095,262,052,359,876,998,982,211,642,765,592,668,689,178,809,
916,423,310,456,848,176,264,316,631,512,000,408,464,675,376,278,273,637,894,
477,187,745,765,470,968,509,173,962,486,291,743,256,287,686,635,269,298,901,
382,438,528,499,136,055,905,588,019,107,836,505,918,936,108,235,917,217,829,
259,157,783,594,301,299,263,514,369,060,732,591,729,676,687,747,472,995,388,
302,245,591,252,464,325,962,275,570,623,093,720,348,767,888,866,217,338,508,
202,789,117,258,861,114,492,346,603,440,783,900,783,920,600,017,559,563,949,
044,071,983,335,493,941,566,668,731,981,135,700,942,956,057,720,046,272,225,
129,805,653,295,634,896,488,171,796,822,088,740,105,241,823,527,376,690,814,
029,551,717,412,413,237,322,325,825,537,234,041,741,689,801,136,887,066,721,
274,557,074,221,579,855,789,627,694,130,260,565,876,420,413,108,082,205,349,
275,181,920,560,479,502,581,936,422,763,600,718,923,462,876,012,816,080,363,
490,222,111,195,907,247,406,250,154,764,461,460,569,234,970,524,596,384,334,
728,832,048,446,410,277,373,831,785,303,034,452,604,627,037,364,359,064,384,
071,696,940,668,869,265,566,419,750,883,854,500,604,327,899,503,422,191,042,
824,773,149,279,664,341,428,812,548,977,488,025,893,601,768,546,067,737,470,
297,392,169,589,385,620,794,212,520,853,876,843,665,282,683,655,808,140,474,
916,982,938,792,926,189,525,765,357,493,088,705,498,929,431,293,922,696,173,
495,550,543,136,451,185,531,372,430,683,978,486,232,313,314,968,664,854,995,
792,677,486,208,434,397,857,034,301,922,242,997,375,656,020,960,397,947,093,
990,886,004,407,819,298,564,721,436,011,198,845,007,752,011,605,338,241,943,
660,257,876,315,357,200,766,260,906,899,749,347,257,732,811,274,873,270,306,
246,399,827,925,592,210,902,590,280,866,980,490,438,550,008,823,001,142,406,
084,897,504,723,184,497,520,867,893,205,126,097,779,618,336,981,296,851,219,
404,679,817,409,499,495,954,090,966,921,025,031,122,138,228,262,323,430,538,
525,334,977,819,803,187,593,437,606,109,133,579,494,496,000,209,476,267,752,
992,640,557,862,060,305,956,691,953,495,140,449,465,973,461,237,092,783,840,
451,379,833,122,040,627,003,793,791,188,719,561,950,929,972,064,065,951,709,
557,488,300,758,211,420,521,545,851,872,297,423,676,501,709,156,964,612,219,
895,618,528,788,541,658,086,897,799,404,012,973,967,611,521,826,981,681,279,
662,662,915,396,548,714,418,422,139,690,499,267,951,905,133,319,528,339,564,
656,939,434,921,912,440,387,422,888,623,471,870,430,120,197,852,076,909,773,
838,727,345,256,906,382,758,694,207,653,726,228,572,992,768,495,157,697,175,
714,360,649,930,780,824,304,298,011,527,451,707,812,132,464,419,193,161,997,
161,332,712,026,760,638,692,609,273,970,677,188,572,233,127,310,627,840,218,
205,944,876,495,780,441,830,110,365,771,058,936,413,651,536,086,291,979,051,
573,272,318,796,637,035,261,525,829,607,869,663,549,766,048,395,638,391,668,
388,302,675,433,485,054,635,913,579,245,447,127,648,728,637,732,586,432,864,
976,751,562,603,906,891,746,826,480,442,247,924,530,193,926,199,677,129,059,
048,921,405,675,215,883,899,885,778,059,798,517,605,328,538,514,317,542,020,
026,327,397,994,212,839,672,784,625,005,824,721,035,415,501,407,318,758,380,
866,247,173,176,462,613,299,936,016,635,593,934,296,433,319,277,617,578,098,
129,610,010,146,388,257,044,551,122,041,946,534,614,186,824,543,094,921,536,
417,731,082,477,417,784,621,545,167,596,628,728,862,812,304,639,202,732,977,
463,120,569,858,660,036,313,063,703,504,978,595,671,695,148,504,651,444,264,
344,699,024,931,066,599,627,592,376,241,310,961,081,722,871,509,473,581,709,
878,549,326,062,900,169,576,688,022,451,510,768,495,720,408,829,445,934,341,
050,705,398,749,794,110,119,394,180,762,656,608,678,247,887,846,656,818,597,
513,438,785,456,665,530,115,391,667,026,749,770,802,696,156,063,915,322,003,
152,254,509,753,903,052,953,240,279,581,737,009,656,023,718,935,074,945,701,
612,008,860,625,527,693,374,187,780,309,162,689,895,738,759,394,636,800,157,
998,377,076,798,393,310,046,717,325,988,616,252,199,609,457,905,878,402,001,
083,386,891,367,730,044,130,649,733,117,182,166,105,487,576,858,477,560,716,
383,158,663,179,353,741,051,046,892,290,191,810,595,118,282,049,666,134,803,
163,862,295,315,590,684,234,896,874,521,298,276,197,989,672,597,366,981,352,
583,590,362,806,620,385,411,857,833,565,803,407,505,465,330,476,746,673,788,
685,293,552,540,155,934,188,903,252,173,615,159,177,167,599,487,237,303,679,
282,505,582,649,285,723,487,630,000,202,673,624,644,511,910,462,488,975,378,
643,059,159,930,103,231,501,821,407,211,470,984,769,281,383,471,058,625,511,
188,408,805,678,436,301,535,307,499,060,223,394,300,625,729,171,342,904,291,
264,025,112,620,783,056,368,372,968,138,296,669,428,827,419,414,227,142,540,
841,713,669,697,709,476,109,110,947,782,838,996,411,427,806,482,509,481,798,
295,905,401,672,706,522,128,426,687,379,543,685,084,044,077,582,697,198,815,
685,094,266,122,230,063,654,236,101,752,657,092,020,291,638,610,243,283,283,
180,755,714,226,121,056,609,005,712,955,281,081,468,416,942,324,333,730,512,
506,659,903,295,392,964,800,586,456,199,351,857,152,785,424,761,050,806,496,
107,474,039,022,089,075,199,798,071,290,714,208,341,947,747,847,438,148,346,
289,092,837,871,362,762,037,538,171,412,199,776,827,606,444,318,939,712,982,
421,305,949,852,158,412,267,500,053,684,127,366,672,079,866,136,750,721,563,
806,914,906,636,989,907,017,695,105,263,679,415,138,387,447,727,874,709,616,
903,045,744,899,638,848,256,552,511,717,441,089,263,469,417,470,342,433,441,
773,150,676,166,376,082,145,403,358,815,086,239,490,400,132,951,296,524,608,
815,240,431,492,591,278,339,947,757,791,052,630,474,545,196,182,610,716,279,
651,396,224,131,306,545,808,990,789,595,573,357,770,845,455,342,819,171,156,
539,087,466,894,025,123,049,119,515,788,762,435,662,124,017,965,044,116,978,
480,331,620,615,667,119,323,812,798,174,006,829,150,209,454,110,768,867,138,
391,612,007,757,065,779,159,607,629,305,366,840,526,793,330,358,400,871,621,
335,957,485,563,077,581,250,534,481,112,544,093,344,526,170,135,701,160,874,
204,202,367,369,501,081,073,157,604,971,780,654,985,429,954,387,908,110,139,
504,464,844,611,449,264,100,085,274,634,446,482,268,644,380,423,735,486,594,
044,107,943,712,969,853,197,451,578,654,066,819,721,762,314,516,363,698,933,
350,584,510,421,606,429,526,095,846,607,901,600,641,983,966,682,374,671,733,
083,595,358,117,812,341,829,644,588,403,567,434,998,356,803,645,349,005,764,
677,484,171,581,760,688,388,220,395,918,385,277,838,419,500,731,785,626,823,
016,757,050,692,762,106,630,041,433,849,962,060,579,097,949,415,871,955,264,
431,062,170,337,523,166,810,505,660,101,697,058,958,829,182,660,225,810,443,
162,218,892,292,463,834,480,454,171,994,351,606,352,058,253,426,767,853,202,
567,172,401,514,607,674,028,785,726,871,908,868,960,871,415,719,312,323,414,
049,936,424,705,092,366,151,332,833,830,350,523,745,726,733,511,069,971,952,
664,211,955,163,056,285,575,710,452,117,386,142,553,169,367,073,838,280,162,
794,621,702,094,140,490,523,353,466,099,584,564,549,016,590,233,760,561,981,
839,319,686,962,824,381,433,954,417,557,006,178,053,645,768,024,362,383,719,
101,710,775,793,770,508,808,529,753,580,115,488,777,833,402,595,931,018,937,
152,026,069,248,006,743,566,750,025,938,237,803,614,844,073,210,908,907,837,
556,018,675,390,225,520,695,572,259,348,811,148,935,412,897,477,893,229,295,
070,755,550,203,758,693,256,026,419,086,211,773,546,345,470,463,120,177,240,
818,188,842,779,518,519,608,014,313,749,227,183,090,842,250,863,959,784,975,
195,055,506,285,964,104,003,950,420,506,855,412,130,211,398,299,741,208,560,
498,653,013,421,067,015,783,405,745,388,971,948,836,889,400,698,671,222,334,
909,753,651,297,202,032,942,488,935,665,687,107,995,719,082,824,301,510,790,
204,221,263,690,538,877,619,711,932,496,177,143,893,529,720,443,013,208,181,
868,722,122,827,914,999,570,909,282,855,833,957,861,744,086,853,323,497,047,
518,958,345,578,454,037,805,410,049,476,016,354,226,462,245,878,803,143,925,
354,248,206,848,624,084,745,136,916,785,313,709,282,977,472,749,424,537,405,
228,860,978,409,742,544,335,792,937,918,572,628,718,601,822,141,598,409,000,
220,404,262,839,359,614,773,593,180,306,270,735,296,810,241,112,058,347,096,
317,052,739,461,629,952,077,880,603,533,682,827,512,304,778,419,163,182,461,
213,500,941,167,560,989,364,691,378,976,853,383,759,618,784,192,778,079,883,
884,876,065,192,171,696,442,209,272,958,355,567,399,185,249,101,501,106,152,
125,556,500,433,910,740,731,041,868,843,716,174,038,198,992,824,223,125,856,
713,362,632,949,847,916,930,727,367,082,838,183,186,570,142,499,302,694,232,
055,775,783,177,931,821,467,080,765,169,753,850,842,930,256,567,896,934,346,
399,485,222,485,808,630,537,958,265,780,244,660,313,177,253,063,017,950,186,
564,032,446,350,567,749,448,840,327,466,161,368,875,329,963,889,157,209,106,
256,496,431,388,237,429,006,996,987,096,075,067,280,490,719,661,917,610,637,
370,658,911,401,456,276,518,830,048,250,623,046,175,608,375,419,909,279,839,
910,314,523,573,680,227,693,647,986,188,850,399,373,442,992,348,673,065,231,
274,312,737,979,427,854,163,624,743,231,648,659,618,485,721,617,276,270,756,
812,621,178,660,517,211,055,188,401,475,934,461,847,510,891,660,452,497,069,
704,403,582,353,814,487,082,826,371,122,078,337,159,910,453,244,369,705,557,
344,617,568,859,637,593,436,375,051,235,286,975,152,251,794,210,970,207,756,
326,426,564,519,412,675,095,614,063,870,635,447,753,910,409,274,308,606,513,
450,886,688,717,227,474,687,205,368,376,804,304,730,689,075,509,889,944,264,
315,557,176,924,276,316,661,530,540,271,631,650,245,911,473,206,820,837,857,
199,374,373,516,937,858,401,032,391,569,755,032,713,576,951,784,224,734,647,
264,687,189,954,689,589,145,051,099,613,393,108,234,855,008,501,593,723,538,
416,386,734,227,232,762,938,561,905,829,998,487,590,400,739,943,512,769,656,
393,427,509,086,210,421,053,168,495,825,002,595,825,591,391,635,064,133,753,
345,121,239,989,971,816,003,008,829,726,977,393,519,780,468,959,688,775,238,
538,472,028,033,747,645,950,358,007,570,486,812,789,029,609,646,430,323,573,
071,806,070,227,733,791,172,759,143,732,803,769,726,294,352,385,526,026,027,
046,045,753,206,819,448,729,699,171,715,140,122,556,255,983,737,543,435,187,
974,708,093,774,998,555,407,615,735,352,011,349,551,609,524,347,522,476,691,
445,978,173,158,450,219,131,699,261,712,522,103,096,863,192,703,102,990,369,
131,728,491,843,357,248,479,799,805,237,080,449,647,531,927,134,927,086,298,
272,327,392,484,971,352,160,560,046,554,623,387,030,402,493,475,972,364,949,
275,916,352,911,027,943,415,812,063,115,286,438,765,153,677,671,969,502,268,
363,147,225,210,480,321,468,267,521,245,635,058,902,316,681,602,917,036,508,
188,317,702,587,978,754,262,641,829,347,555,064,091,859,075,710,331,446,699,
337,626,765,023,549,212,384,034,591,332,144,348,815,471,202,394,966,874,194,
304,419,932,278,449,672,803,095,491,308,257,947,075,162,484,247,015,748,515,
886,057,117,870,521,644,593,076,384,403,195,301,344,767,181,152,330,471,059,
231,817,033,630,027,220,076,678,211,806,011,938,254,402,594,748,542,151,968,
594,490,575,178,445,639,439,477,071,784,151,303,481,039,976,962,613,470,306,
875,674,431,697,157,069,681,485,420,817,250,563,329,810,165,320,927,064,188,
296,983,284,453,259,191,829,937,283,941,512,481,493,040,644,228,890,182,743,
102,864,369,672,806,305,699,926,199,533,137,923,010,056,791,409,479,251,573,
716,400,713,351,288,965,344,035,051,437,496,148,853,844,220,760,045,087,124,
640,444,837,149,503,019,276,323,583,483,651,030,726,972,192,904,680,051,731,
286,765,086,470,412,107,708,697,150,831,891,245,159,453,079,800,444,912,325,
878,159,743,601,673,306,982,467,632,068,700,681,988,342,297,291,384,999,592,
589,175,827,593,113,768,454,941,655,107,174,133,177,574,777,120,203,288,333,
917,077,132,004,972,126,503,520,235,029,845,268,614,908,187,271,084,709,970,
874,764,914,174,187,591,708,544,948,533,667,147,889,342,262,307,742,154,831,
532,614,220,816,619,051,323,802,058,917,203,987,036,966,373,245,615,667,739,
188,781,426,016,671,093,881,711,580,897,641,686,772,135,177,222,111,304,192,
720,838,596,928,769,403,034,763,615,880,038,088,169,678,493,625,741,161,659,
877,311,491,160,561,898,321,074,513,756,009,007,596,251,294,550,131,937,594,
080,603,921,720,263,352,036,756,700,853,978,090,317,820,207,664,968,560,093,
504,185,939,707,525,286,919,730,873,239,213,736,698,803,135,557,736,029,542,
713,067,058,818,233,055,754,157,741,072,298,613,953,897,352,167,860,075,673,
296,639,399,715,485,948,804,969,702,739,786,535,671,516,111,562,402,239,838,
338,120,482,321,315,125,566,958,953,259,753,898,388,702,782,100,500,930,338,
137,320,563,732,863,720,419,888,387,468,882,680,192,495,568,008,186,242,951,
201,251,781,800,026,436,691,325,607,785,612,806,151,885,673,915,016,319,646,
131,822,225,134,723,307,639,173,027,387,306,815,959,852,808,289,487,448,562,
499,282,446,878,343,434,505,653,148,164,437,301,440,407,066,520,293,320,018,
260,361,393,248,974,778,746,444,688,299,130,673,648,765,759,096,151,683,853,
588,252,227,116,420,287,297,428,771,178,565,412,895,626,909,797,587,998,562,
109,423,629,496,363,486,165,519,229,994,745,991,331,986,205,939,804,495,458,
175,273,422,081,221,685,025,424,553,955,131,164,863,669,453,661,613,609,482,
929,179,759,580,133,368,605,951,657,951,311,846,210,229,983,088,672,913,012,
403,154,232,194,843,423,836,407,023,278,168,629,864,598,020,238,922,513,493,
907,435,679,664,024,217,858,194,631,530,679,109,802,543,133,404,059,985,922,
788,713,909,028,819,702,050,860,827,987,667,078,635,211,049,195,533,560,052,
709,916,184,751,524,854,457,729,244,562,261,836,107,296,738,316,144,124,220,
697,574,229,421,022,646,803,366,383,539,476,962,709,760,124,672,399,426,890,
729,424,977,310,008,118,003,831,890,203,177,729,404,307,386,449,186,284,481,
219,889,413,870,539,690,107,192,642,316,742,986,567,144,308,246,563,524,768,
952,185,613,367,647,727,087,522,087,721,563,899,075,631,286,690,323,577,021,
825,401,833,016,748,620,167,380,040,048,327,555,768,415,564,530,002,207,900,
829,833,867,732,559,175,255,795,239,851,095,786,038,629,139,640,285,799,833,
216,291,000,019,201,506,598,792,677,778,732,046,918,896,031,214,510,305,195,
013,741,993,794,590,722,395,209,393,044,953,687,865,744,880,491,371,787,701,
125,980,099,416,085,602,902,934,275,089,586,515,874,691,001,228,864,839,459,
982,184,737,597,416,397,546,696,174,191,431,517,002,938,579,389,601,914,408,
975,822,243,463,583,165,525,401,737,025,003,732,609,643,276,531,564,966,139,
837,069,348,465,669,029,629,784,064,301,329,476,762,222,954,800,257,671,508,
638,837,790,360,209,906,611,069,187,023,805,488,405,740,389,927,741,680,232,
324,442,145,341,971,279,194,994,567,767,710,776,798,394,424,907,885,981,601,
358,618,150,958,679,533,124,780,953,857,494,428,473,804,452,253,260,551,336,
093,869,152,022,903,381,017,827,137,514,958,395,461,049,256,972,535,827,929,
863,046,570,520,366,540,255,002,508,351,163,661,346,545,344,682,076,210,817,
512,459,314,293,505,757,877,743,042,581,772,207,391,460,415,227,552,904,798,
955,006,481,374,295,389,725,014,307,022,558,984,290,969,571,031,926,018,081,
667,070,673,967,558,220,158,943,495,155,296,665,471,269,759,228,690,055,086,
340,965,384,480,784,444,929,302,773,333,745,118,633,083,973,004,490,115,743,
822,116,747,395,581,496,465,699,684,510,719,426,049,298,962,645,239,332,540,
568,728,422,171,469,012,024,091,217,145,137,503,152,856,298,723,245,734,776,
602,693,965,054,640,669,323,428,315,705,753,002,920,824,655,170,665,889,971,
266,054,732,313,842,034,213,588,520,313,945,159,462,986,944,168,289,399,267,
083,273,097,870,722,875,946,269,067,633,369,664,535,318,804,188,826,274,075,
927,293,473,082,280,693,434,793,143,175,827,174,590,805,511,511,702,321,441,
603,702,319,753,927,843,851,617,926,485,640,711,017,296,000,734,234,915,494,
152,207,628,128,649,367,317,763,408,818,862,189,878,865,627,242,699,707,433,
132,415,596,550,597,705,646,666,830,071,725,289,533,430,153,945,749,772,601,
344,185,474,209,474,961,212,395,929,459,715,605,786,750,660,979,420,985,158,
039,234,376,153,823,355,196,528,998,665,260,563,154,732,039,011,951,367,048,
112,770,227,356,132,911,923,600,679,313,527,039,016,815,756,119,660,791,497,
415,237,142,079,873,990,030,941,946,082,111,656,814,857,001,905,473,930,155,
060,518,011,473,116,255,017,705,751,968,414,598,453,377,916,894,199,815,396,
714,465,305,992,126,855,749,203,276,265,026,006,103,281,578,509,034,089,210,
976,395,151,263,887,255,168,756,717,858,037,912,897,874,042,543,541,305,630,
796,073,412,791,589,224,188,564,240,088,339,643,507,331,306,303,143,300,034,
696,949,315,937,253,066,140,291,635,390,203,186,319,392,763,748,591,434,881,
985,932,307,639,805,564,319,274,022,481,325,229,813,781,590,991,657,852,757,
557,151,064,801,410,918,429,768,140,984,007,801,305,162,762,828,336,993,673,
575,926,140,633,282,048,310,058,444,895,087,492,169,197,920,108,357,892,374,
420,149,719,929,150,416,061,235,176,531,951,744,780,784,589,026,653,674,669,
567,720,730,315,058,238,787,411,701,724,722,598,063,858,437,951,457,912,215,
741,560,057,518,660,638,892,281,804,083,991,500,791,439,314,251,033,121,500,
534,389,771,119,352,582,756,402,874,882,936,532,163,917,970,446,169,226,599,
103,534,968,613,369,454,552,285,544,156,632,847,540,707,448,333,379,732,735,
077,498,700,697,314,429,749,349,773,148,110,715,171,251,657,295,961,135,124,
471,883,352,022,669,214,608,120,933,115,244,488,722,283,873,716,002,854,293,
794,832,143,542,801,635,966,645,720,596,449,948,525,439,663,487,525,705,637,
986,113,749,415,829,908,179,635,283,637,952,391,322,829,164,263,967,893,662,
798,661,595,909,161,996,821,128,635,021,391,792,177,929,600,116,664,851,764,
392,223,577,768,531,890,307,353,694,218,132,161,813,836,048,952,977,381,729,
418,411,349,029,848,486,324,155,471,284,291,720,571,537,284,134,511,878,838,
243,284,364,262,896,499,317,594,567,095,621,808,880,349,707,090,618,116,935,
362,974,415,239,387,693,613,778,126,898,467,992,236,953,260,057,075,966,144,
104,458,948,951,400,821,194,063,989,027,397,780,659,002,923,286,005,463,561,
729,295,309,992,152,683,981,304,372,337,401,993,346,557,502,398,754,336,785,
997,528,901,543,742,329,463,382,847,881,685,607,005,320,061,322,547,997,061,
595,591,036,185,919,751,483,341,400,721,792,110,362,005,872,933,639,798,779,
634,535,913,006,282,910,936,106,450,761,446,346,489,343,631,383,631,241,906,
446,979,064,840,934,395,591,502,287,418,831,225,342,303,190,992,157,200,440,
714,071,295,513,968,079,966,294,590,011,002,303,894,479,007,231,214,476,679,
665,811,235,020,211,909,011,507,035,046,396,808,452,498,028,703,937,153,764,
138,572,677,674,694,233,116,254,248,099,943,092,670,733,412,774,050,387,043,
257,850,665,282,913,423,000,796,438,456,594,757,139,126,316,121,162,501,725,
977,182,960,823,116,001,618,854,819,157,398,278,463,397,289,543,129,068,762,
222,541,838,319,142,365,132,160,312,152,250,245,609,589,506,184,612,575,082,
146,641,034,252,957,993,633,576,945,954,438,601,748,869,270,708,334,778,871,
179,784,046,639,450,265,924,035,484,209,290,381,131,742,380,224,195,992,572,
168,614,229,493,117,104,586,545,404,337,060,168,884,777,227,972,889,367,015,
088,534,876,494,941,121,557,892,339,801,850,396,242,944,266,217,630,322,837,
266,588,009,028,664,775,115,644,380,419,674,177,873,196,785,151,280,862,122,
989,236,777,979,958,553,276,791,102,652,729,148,590,795,477,165,977,504,341,
187,873,817,793,792,535,453,765,110,639,833,281,146,387,073,421,078,036,119,
789,793,013,904,143,615,136,741,801,405,264,698,964,945,726,059,008,749,055,
472,868,709,208,343,908,914,219,973,388,473,290,562,390,037,992,334,606,138,
047,416,454,496,458,947,943,690,373,518,918,871,578,686,603,535,952,496,255,
177,195,298,642,272,671,414,288,866,929,200,181,505,981,240,205,058,258,093,
355,231,889,531,604,558,117,839,837,354,499,126,304,622,942,053,009,247,060,
068,998,700,524,044,641,390,531,181,273,335,202,051,534,307,810,089,958,061,
485,454,514,450,081,689,535,928,188,515,230,283,362,279,754,892,471,741,199,
568,744,602,757,654,491,054,720,669,533,737,575,272,968,046,495,682,204,355,
007,095,577,252,035,437,156,858,221,735,196,464,268,304,895,190,872,161,672,
931,944,407,460,340,766,177,835,735,142,058,760,594,381,142,455,204,132,097,
431,308,756,801,996,254,338,919,997,678,415,424,181,674,326,989,091,346,562,
219,589,408,327,466,695,356,658,470,279,616,916,243,883,364,455,444,924,505,
339,957,306,649,869,469,617,456,778,450,524,906,494,555,315,584,642,090,425,
551,236,699,582,646,567,885,868,697,002,493,081,129,459,048,342,699,862,751,
679,862,463,547,961,974,595,393,562,312,512,960,103,958,313,844,580,163,201,
107,002,524,838,590,942,959,539,779,863,549,744,152,636,284,799,555,533,216,
499,308,072,243,872,455,959,877,636,992,034,092,143,677,238,043,631,952,360,
952,224,797,709,107,475,827,264,463,513,063,296,134,978,201,342,595,112,510,
892,325,440,272,672,715,137,146,572,613,656,060,199,254,265,844,535,517,467,
767,445,107,270,346,873,190,842,677,881,083,574,987,393,371,684,194,357,711,
261,883,378,908,479,145,223,175,175,357,981,347,685,452,652,774,210,060,700,
669,455,162,363,181,765,199,502,767,455,414,296,886,310,562,848,753,803,633,
762,389,384,967,577,216,749,764,992,172,014,259,102,575,610,808,329,999,214,
710,924,916,607,003,029,693,773,445,736,057,278,634,034,759,622,314,779,280,
987,352,812,920,804,246,124,292,931,533,226,231,893,305,594,936,966,312,148,
629,948,513,553,163,181,998,107,197,617,496,054,432,229,414,683,823,568,525,
408,497,435,287,552,104,411,723,321,402,547,748,221,389,384,203,282,011,583,
922,729,074,895,385,189,744,628,570,008,884,945,795,262,452,510,526,613,498,
630,077,212,053,497,769,940,886,023,633,499,235,210,782,992,148,531,230,298,
148,600,259,029,367,606,042,226,473,811,482,961,475,962,707,310,279,105,204,
122,452,879,387,600,018,539,750,696,644,582,397,949,827,447,718,508,577,551,
252,005,499,784,820,630,065,084,271,873,700,191,664,225,928,300,513,265,446,
212,234,256,243,769,839,951,729,489,052,387,561,883,369,174,680,811,586,532,
402,295,733,038,863,734,509,869,474,536,491,560,545,689,549,128,460,720,356,
216,193,673,896,974,778,486,699,328,776,965,983,994,143,931,509,485,469,991,
128,548,750,084,118,253,847,874,499,247,554,301,986,650,879,769,968,249,532,
484,666,479,130,254,553,705,085,029,402,738,013,242,228,550,068,986,523,940,
387,566,601,587,536,801,301,571,284,228,083,600,491,879,671,977,855,208,643,
930,627,636,107,501,402,156,789,102,351,901,060,603,036,455,927,407,711,725,
674,442,078,407,194,324,392,976,550,739,308,283,938,857,096,454,138,941,908,
154,978,577,111,869,085,602,224,357,297,609,086,868,897,578,159,562,614,421,
957,365,369,553,321,886,271,141,174,326,815,522,272,632,987,905,677,030,666,
596,661,783,505,671,950,297,036,375,678,980,002,000,084,506,138,524,223,599,
183,950,340,706,290,621,866,676,418,361,589,930,631,088,632,498,125,446,227,
933,739,912,076,617,200,488,923,452,508,556,721,545,511,109,464,904,636,424,
363,407,619,034,456,983,502,643,979,532,959,635,073,202,062,202,100,431,797,
864,115,990,249,900,397,984,431,447,189,818,002,427,044,151,546,699,034,290,
689,826,114,758,677,217,590,741,975,873,873,949,772,747,656,153,521,381,410,
978,114,083,547,256,357,949,316,547,973,888,990,295,377,127,849,547,426,846,
185,512,000,009,193,927,658,338,103,532,400,335,679,076,043,069,153,229,723,
282,676,151,352,891,589,909,917,164,195,311,590,855,867,560,410,916,409,105,
028,635,325,236,299,189,608,577,943,497,195,422,082,060,168,509,952,784,162,
975,833,885,508,410,498,125,530,263,246,452,249,919,923,385,217,509,452,853,
919,588,141,045,588,133,970,276,055,358,083,053,752,547,655,034,048,673,768,
693,839,279,807,161,669,646,086,417,919,940,321,388,934,810,176,485,753,355,
111,536,579,403,959,068,425,852,044,163,035,242,357,537,427,308,729,918,260,
015,430,461,354,053,288,958,477,513,681,142,781,660,002,176,808,815,296,356,
248,358,119,021,167,595,565,847,092,863,653,061,892,213,579,901,877,341,793,
494,603,464,776,061,984,989,918,845,344,478,651,674,104,451,403,299,097,117,
805,400,963,368,023,107,268,011,981,739,205,854,320,970,196,319,643,896,298,
066,049,509,458,496,891,097,231,121,150,459,142,609,275,709,887,639,041,985,
104,751,353,634,642,690,421,936,407,955,283,216,402,736,988,867,276,156,902,
529,021,569,087,746,712,798,050,552,903,300,695,640,978,224,177,682,531,435,
163,790,530,645,646,262,528,813,884,121,619,283,928,003,414,174,145,764,685,
270,857,111,180,379,737,164,778,559,015,078,994,846,534,354,724,042,313,996,
085,421,408,928,842,936,964,914,113,185,002,132,172,032,098,613,934,073,959,
873,254,037,126,730,579,572,073,843,238,531,319,572,706,738,686,825,163,519,
281,570,976,193,441,309,729,111,684,072,264,827,133,175,352,535,731,971,296,
283,958,119,484,340,712,387,536,296,169,068,096,014,045,522,469,199,399,092,
638,122,455,602,721,982,286,516,734,418,182,035,297,007,948,691,947,670,147,
858,980,485,804,374,245,664,832,056,603,924,005,484,651,503,603,782,615,390,
790,710,242,754,267,402,172,652,662,660,808,107,614,099,905,831,892,328,456,
899,221,378,104,548,898,421,927,565,807,115,714,906,417,620,639,494,749,074,
274,862,533,348,073,925,506,612,323,691,312,792,634,971,803,223,489,786,971,
072,293,466,606,022,610,105,550,192,327,132,240,900,503,733,713,314,524,913,
131,804,305,350,208,900,975,045,857,746,192,126,004,685,921,565,340,301,554,
832,486,945,164,893,469,740,758,017,034,184,534,688,652,630,854,710,943,909,
356,817,259,801,429,963,348,340,144,347,100,417,923,653,492,513,576,160,227,
945,489,346,668,224,742,978,949,455,571,056,714,772,089,218,189,459,680,360,
054,250,966,737,079,182,823,359,269,985,064,932,058,129,236,672,494,510,462,
336,762,787,822,213,197,058,663,815,602,714,183,918,225,546,906,375,534,467,
297,304,352,889,227,678,499,774,601,502,757,972,486,585,996,365,364,842,292,
142,205,266,737,806,912,835,216,934,377,020,219,590,590,614,895,563,467,531,
480,360,052,140,645,640,301,468,108,865,059,945,263,408,516,585,849,666,614,
628,909,619,304,505,601,888,677,158,107,802,209,624,432,635,727,777,629,186,
828,418,837,196,817,078,271,113,131,872,556,867,002,267,067,226,625,802,979,
608,924,133,737,002,385,732,945,113,590,395,312,795,044,177,993,506,195,364,
482,147,312,362,656,947,556,994,485,729,336,031,031,521,411,176,601,033,217,
108,300,408,071,080,011,211,380,821,254,722,099,471,225,334,822,789,020,284,
007,990,640,063,810,643,237,551,357,754,127,612,449,746,427,445,770,006,986,
299,156,695,049,333,783,650,686,053,442,625,292,914,643,022,758,869,879,243,
758,906,712,784,514,872,271,002,506,837,726,882,214,332,820,902,704,174,573,
400,921,770,433,958,569,365,348,608,681,912,621,971,676,971,933,890,276,486,
009,682,686,291,053,544,739,891,010,112,309,560,171,659,037,650,333,920,273,
816,054,401,796,870,261,936,924,949,385,739,824,839,567,652,283,009,376,049,
252,972,710,410,296,344,159,613,435,207,367,285,497,230,725,550,026,276,425,
974,337,672,317,167,775,873,235,549,780,940,009,783,793,395,835,808,679,681,
982,561,075,204,015,961,834,108,968,502,910,473,464,632,980,378,177,526,446,
631,572,636,798,463,596,964,046,630,404,663,335,425,492,954,589,993,967,382,
649,593,627,294,177,152,021,800,234,180,548,573,449,714,227,824,484,776,934,
636,794,197,001,376,668,046,485,052,051,996,969,425,014,899,330,757,413,354,
026,803,814,327,118,855,901,978,089,398,761,819,498,567,037,636,410,999,922,
444,788,151,169,379,310,056,169,230,493,667,719,035,201,803,511,626,344,789,
958,651,335,917,168,998,592,543,161,184,358,182,832,833,777,335,160,709,548,
061,510,191,148,522,330,118,855,145,301,288,373,775,745,216,525,193,449,368,
067,482,527,370,814,501,647,544,178,582,023,724,645,839,395,059,854,757,220,
568,993,189,965,772,158,223,147,039,726,881,392,034,887,421,559,549,568,101,
945,584,374,434,888,710,290,495,067,424,272,553,093,836,662,899,398,124,837,
679,913,831,272,893,222,533,718,414,138,496,655,932,482,783,735,234,825,855,
896,058,879,771,154,219,915,245,549,471,779,962,962,072,487,911,247,362,712,
844,059,405,166,324,087,098,966,241,690,903,231,131,336,582,651,020,429,754,
181,078,214,451,504,423,811,646,140,064,050,730,498,863,658,610,352,352,853,
268,732,904,109,409,266,077,173,274,118,005,885,544,949,935,188,298,405,708,
758,799,545,159,226,606,550,171,424,766,133,093,352,092,064,787,588,022,621,
355,389,107,188,998,622,688,851,985,429,303,853,831,882,001,926,136,983,578,
795,646,287,956,891,911,448,743,138,370,940,909,309,004,663,270,216,050,486,
869,682,576,338,873,683,545,381,625,412,198,715,032,458,949,429,778,846,898,
397,249,909,186,938,464,013,225,408,784,802,767,809,390,991,267,666,177,233,
110,067,687,068,451,167,908,757,298,287,795,981,641,494,639,618,196,696,151,
631,641,887,869,677,370,211,069,182,293,165,683,467,166,259,662,465,959,328,
871,817,076,308,019,936,094,361,089,365,714,932,083,327,338,726,672,673,016,
800,065,971,509,667,645,027,822,644,197,251,357,579,291,387,443,749,147,247,
772,505,278,461,041,581,905,632,377,870,576,049,330,401,320,584,030,986,313,
706,588,347,877,478,219,293,225,840,797,513,946,344,625,572,679,224,606,626,
627,237,728,399,068,434,921,548,116,036,029,075,585,129,941,584,522,054,979,
726,829,077,920,274,293,633,032,153,542,643,564,970,319,881,018,935,422,439,
040,222,939,220,926,929,127,744,642,937,649,783,590,290,241,543,058,585,914,
622,497,877,489,275,297,233,377,964,051,143,510,976,356,171,236,072,256,820,
668,764,584,075,660,301,334,418,897,494,809,636,794,757,328,805,949,107,167,
588,449,112,182,192,774,265,537,970,513,295,570,128,391,374,706,128,235,135,
738,039,635,395,511,127,252,933,647,511,520,494,951,089,095,077,144,857,134,
500,418,464,011,181,427,171,261,080,175,094,551,372,591,846,379,505,493,279,
415,535,892,857,492,806,807,754,229,892,983,245,854,511,640,522,868,880,766,
238,582,504,582,416,954,282,564,057,390,315,623,129,783,737,703,349,459,580,
891,116,729,589,480,244,530,758,846,158,520,231,993,256,346,923,473,603,062,
739,658,569,476,921,960,072,986,530,353,953,677,134,746,376,666,908,558,711,
835,541,910,240,471,206,588,364,213,188,554,163,289,745,460,865,558,296,042,
405,386,324,647,744,208,752,468,078,062,368,452,214,420,920,290,499,580,250,
192,248,101,383,347,775,603,113,347,762,324,869,946,845,257,907,658,639,180,
654,955,600,345,352,244,728,712,786,059,271,537,938,839,437,275,120,158,040,
629,582,759,820,488,417,328,908,238,285,241,762,041,985,511,448,541,271,478,
847,580,816,907,839,923,660,428,485,406,984,268,268,399,810,112,071,721,051,
751,965,914,726,869,727,395,799,617,219,862,115,650,547,472,938,948,249,447,
890,637,587,649,736,435,492,535,548,423,677,820,605,359,390,022,758,944,401,
111,023,188,884,340,907,774,756,703,542,792,520,011,651,380,124,238,083,814,
917,545,300,882,222,147,457,327,951,602,089,182,583,121,562,440,055,546,515,
221,631,387,770,092,183,763,685,174,048,955,466,062,967,997,652,561,190,815,
733,273,431,282,832,121,996,360,255,833,699,185,868,391,625,585,205,857,043,
129,799,088,774,254,215,531,271,707,450,407,706,060,274,631,655,971,701,630,
900,214,505,608,003,132,480,427,617,088,182,835,001,035,981,634,821,418,517,
758,384,056,158,024,662,706,206,511,477,420,443,976,166,409,874,028,958,738,
051,903,248,371,128,377,774,521,181,907,797,884,531,567,654,783,488,626,716,
245,265,577,539,369,817,522,800,459,342,000,598,978,606,141,676,302,230,194,
780,674,286,838,100,738,832,540,598,491,074,833,515,674,036,047,450,237,306,
150,385,327,972,999,028,148,917,469,783,895,817,633,080,817,550,808,556,595,
666,449,696,741,934,107,121,881,116,380,655,215,647,300,142,570,716,084,578,
377,015,073,141,136,385,866,843,110,628,548,561,330,879,896,298,609,154,951,
257,629,150,490,488,472,851,362,515,657,699,660,732,214,282,068,174,314,645,
518,889,410,078,335,588,679,609,483,871,036,477,020,109,698,921,354,141,002,
864,184,516,793,899,596,092,929,053,127,583,194,145,366,401,851,364,007,989,
475,107,032,623,727,428,687,412,333,315,473,005,120,950,467,626,098,462,531,
505,302,533,778,993,197,446,606,865,377,519,749,486,187,240,839,016,109,374,
866,773,309,727,942,492,920,455,339,957,090,716,347,443,886,064,731,468,445,
160,638,212,210,669,594,486,566,418,015,139,194,149,226,969,313,402,184,173,
431,430,854,720,727,696,556,192,493,847,111,877,096,917,770,745,005,899,368,
931,104,328,020,619,872,528,807,614,636,594,470,521,047,124,852,079,529,977,
316,783,266,597,662,839,213,811,483,320,846,027,488,006,327,589,953,585,043,
677,207,932,106,616,250,888,804,454,098,344,136,390,309,136,331,493,141,006,
238,295,720,771,679,004,293,814,441,505,162,059,596,771,167,638,463,574,536,
955,675,361,855,336,654,952,514,794,053,371,637,626,017,792,040,248,780,323,
079,899,525,016,490,503,910,395,955,239,244,325,258,640,303,169,990,699,765,
810,815,738,111,587,793,183,501,478,861,855,067,509,642,689,816,656,813,908,
170,217,268,686,968,614,168,884,554,841,206,333,917,507,505,405,960,608,352,
961,873,277,237,200,244,141,535,145,186,129,226,771,326,957,805,440,862,441,
579,057,953,671,781,604,882,401,832,726,162,938,659,404,701,872,412,851,098,
603,778,261,677,911,691,416,286,554,820,721,336,334,127,321,234,751,947,852,
219,110,462,793,188,407,310,465,907,662,573,479,253,453,524,484,537,432,872,
615,956,652,443,069,218,054,633,095,614,794,345,107,207,190,237,174,731,295,
499,373,236,451,244,753,363,529,729,006,138,558,492,613,508,529,297,269,631,
215,220,918,551,905,923,504,215,725,726,918,922,691,240,758,237,709,907,629,
332,475,305,320,547,664,652,747,254,078,910,068,011,266,058,745,264,433,910,
518,210,804,601,394,515,630,529,592,465,533,082,614,607,705,255,466,372,139,
217,024,582,957,007,110,848,836,892,500,105,349,962,135,921,435,764,644,239,
191,736,857,796,969,094,865,484,246,475,634,178,678,657,954,485,494,073,607,
579,456,411,719,859,006,474,819,090,039,863,280,808,087,922,516,811,827,352,
115,490,031,743,937,988,330,689,976,998,761,288,834,586,137,977,521,612,131,
017,028,542,955,608,965,133,517,092,990,773,175,112,226,866,607,151,732,877,
705,338,789,189,449,275,510,990,733,992,919,314,326,558,424,042,937,953,319,
363,922,236,951,322,615,862,268,969,071,051,039,443,630,458,652,288,502,447,
251,099,504,991,809,856,709,853,400,163,638,261,261,602,759,251,993,659,532,
852,428,729,843,486,647,150,221,045,198,773,924,684,108,049,896,058,517,601,
171,021,906,909,606,482,093,494,594,137,805,573,420,705,475,235,585,577,629,
060,380,483,275,314,639,904,341,015,903,544,230,262,216,392,557,380,615,214,
008,624,703,786,987,135,681,032,022,387,729,415,557,958,150,087,474,873,749,
367,770,739,966,715,191,446,320,517,762,006,031,404,941,379,345,061,729,813,
188,137,017,493,613,844,519,115,342,866,908,135,058,476,323,971,137,877,581,
565,971,441,508,812,298,182,035,691,312,774,816,975,788,226,980,679,099,281,
842,138,823,562,003,652,743,314,303,730,123,783,171,701,082,269,117,853,576,
037,405,526,598,692,636,802,950,147,697,611,700,279,309,300,779,573,634,015,
892,750,698,200,853,218,784,786,482,269,756,335,078,320,887,557,679,449,453,
149,111,709,449,963,348,893,566,160,826,729,117,666,215,527,509,836,626,477,
585,577,887,235,372,884,550,869,761,356,478,442,869,254,445,164,721,184,387,
637,444,946,394,826,815,983,102,151,982,840,482,478,171,785,831,787,410,346,
811,548,600,148,151,569,386,950,290,318,474,772,968,000,452,161,003,968,423,
240,223,569,356,807,174,468,580,553,266,379,017,801,334,525,532,277,139,491,
112,795,114,419,966,380,315,388,868,460,152,482,066,418,622,311,720,315,349,
795,748,999,353,192,164,117,629,905,449,051,906,893,257,103,788,579,874,828,
339,129,387,435,543,685,727,851,929,554,873,185,295,203,640,426,843,969,681,
597,664,946,207,978,288,779,118,029,800,596,112,219,265,994,057,741,291,247,
783,959,227,158,009,077,046,218,255,794,810,157,957,056,319,260,756,630,626,
766,518,979,587,009,249,025,370,059,949,970,237,561,379,976,676,472,842,928,
481,769,947,243,022,877,185,349,269,677,459,588,035,652,484,811,987,643,357,
729,373,554,088,070,628,546,218,560,618,866,639,084,582,723,151,099,034,132,
065,599,447,955,024,305,656,115,391,100,931,087,803,812,469,959,049,237,061,
379,370,107,693,608,179,979,025,606,453,754,958,065,182,350,009,401,800,270,
302,006,823,525,713,385,076,252,523,222,167,111,620,545,114,286,787,409,716,
674,972,971,849,952,088,861,750,812,415,444,545,331,317,523,279,742,984,765,
612,502,229,450,919,739,621,046,285,940,723,629,123,943,478,306,203,183,305,
014,766,853,573,926,869,054,167,584,143,582,512,690,035,114,827,008,578,293,
482,588,531,002,084,520,974,309,225,913,097,344,556,869,424,255,719,421,271,
816,583,626,599,401,495,910,464,924,181,326,962,315,957,910,267,299,659,260,
854,545,281,452,958,180,449,866,063,554,953,846,488,920,407,668,182,932,150,
641,666,787,285,518,554,650,398,461,463,513,989,652,754,180,510,519,326,343,
907,199,665,398,908,922,767,840,595,241,720,085,271,386,904,239,442,401,936,
240,349,257,385,862,771,085,048,873,822,235,220,075,859,872,605,689,696,395,
532,187,346,441,235,914,078,934,826,540,419,840,633,205,550,269,915,670,828,
036,767,843,220,583,984,890,554,289,844,086,800,117,187,060,896,977,091,418,
750,242,404,572,825,678,008,805,376,314,998,116,996,211,572,116,323,030,838,
562,144,163,514,189,594,198,403,739,635,663,853,990,210,299,608,245,857,793,
069,210,989,306,654,677,885,354,062,296,262,786,513,741,246,075,233,594,449,
061,411,604,707,201,924,124,862,959,889,558,926,603,657,337,969,479,864,913,
795,700,740,023,477,767,476,149,661,763,691,022,903,714,076,328,992,335,974,
549,458,862,091,984,669,142,672,387,426,765,770,716,104,898,894,351,528,122,
930,071,490,932,035,251,517,184,202,885,594,760,120,587,970,092,861,774,358,
551,881,437,074,635,087,011,619,605,080,258,798,707,869,861,298,778,712,327,
869,373,381,987,965,192,613,165,079,167,234,712,510,099,271,025,590,446,505,
459,486,766,824,286,594,240,997,318,069,598,158,348,659,139,302,116,814,698,
569,475,029,353,876,245,479,264,429,826,373,970,521,953,706,081,046,115,834,
775,544,889,759,154,333,021,976,649,443,986,374,311,252,115,495,969,415,648,
236,691,857,127,641,022,704,005,569,890,907,899,406,685,285,056,988,006,503,
621,722,390,674,945,733,131,676,237,642,844,395,641,024,274,152,628,273,317,
641,086,464,233,556,406,022,496,694,157,675,806,034,224,031,967,817,595,844,
705,718,968,903,527,283,261,980,560,782,321,260,533,565,111,552,157,828,769,
440,188,621,715,088,142,176,896,817,791,257,858,887,622,528,691,989,714,850,
086,274,665,679,802,462,885,793,520,899,084,256,255,904,788,311,305,414,913,
809,678,246,053,835,518,294,426,926,995,651,269,050,362,435,760,413,921,036,
750,503,434,663,339,232,895,937,463,546,776,926,094,138,648,476,363,985,069,
501,581,269,225,844,183,372,799,270,061,987,753,173,053,609,505,007,835,719,
033,091,465,970,524,697,325,125,480,271,229,490,602,417,416,518,062,444,461,
240,749,701,952,155,911,584,958,058,899,769,570,643,043,789,646,602,422,360,
108,272,553,820,098,409,477,567,043,133,676,478,501,746,655,416,478,157,674,
344,940,996,202,311,914,380,745,903,734,109,666,399,197,797,729,865,826,378,
367,017,613,454,351,917,983,696,175,888,863,354,080,021,657,575,798,450,430,
355,776,706,288,746,366,441,409,988,812,222,197,095,534,450,482,934,252,990,
186,358,897,860,258,910,835,976,502,410,749,623,968,905,906,361,036,704,696,
444,366,258,313,776,500,604,547,147,928,712,343,560,743,174,648,469,523,095,
777,237,557,594,067,151,348,572,832,938,323,117,763,606,520,139,686,496,739,
009,021,519,743,117,480,242,270,305,009,511,156,295,014,358,770,374,362,262,
856,345,690,869,364,792,571,930,879,983,793,035,750,911,081,598,968,932,334,
919,028,735,051,574,906,330,316,205,734,117,155,049,131,507,261,384,519,688,
445,291,195,814,919,390,962,514,076,610,173,519,640,158,367,606,366,091,483,
067,882,523,523,834,863,866,388,178,424,465,413,915,316,699,781,264,445,261,
036,185,154,242,560,792,158,214,884,473,704,066,879,502,672,579,856,668,761,
661,779,890,167,800,677,346,081,286,744,084,871,203,228,689,513,546,377,646,
140,209,215,923,369,499,496,894,924,040,962,247,582,096,751,264,894,493,010,
002,286,588,354,749,244,796,624,028,109,856,060,628,590,168,249,370,508,054,
457,735,736,714,057,950,674,208,263,116,828,706,249,668,344,476,635,126,930,
311,198,353,620,391,061,688,470,930,758,168,056,168,886,798,042,178,537,540,
721,194,021,001,913,773,156,023,621,152,577,499,615,141,229,155,426,306,328,
926,882,884,704,737,941,313,003,763,525,325,976,459,148,003,051,426,248,623,
772,867,036,543,829,380,617,931,774,447,882,189,197,817,788,290,630,736,694,
052,988,883,379,241,138,348,343,532,073,401,672,863,876,579,957,664,133,646,
758,849,042,921,845,265,642,759,710,220,708,130,909,666,329,788,438,557,198,
029,273,634,291,477,478,584,733,883,162,910,862,967,135,731,380,644,950,245,
878,764,344,007,390,867,315,803,928,479,323,202,581,365,402,296,971,218,977,
131,654,322,997,943,799,101,810,816,518,013,737,621,685,476,598,835,404,153,
412,939,414,368,956,856,396,527,876,476,829,278,122,570,070,395,745,489,322,
242,992,921,314,420,757,360,577,520,025,279,137,574,064,303,164,071,713,976,
455,754,115,273,243,289,796,027,493,678,832,621,404,959,761,278,723,480,524,
085,505,824,602,647,717,144,474,761,874,643,025,517,356,330,607,782,841,483,
933,361,097,108,640,938,898,627,607,263,195,984,447,068,446,294,216,000,622,
987,547,531,036,197,506,370,827,703,135,043,789,259,218,926,481,300,389,062,
028,475,841,700,691,208,415,593,068,915,681,478,021,781,164,179,468,552,965,
818,598,644,592,908,534,550,493,831,525,786,677,431,370,352,694,580,383,699,
362,046,962,511,674,003,168,194,741,754,341,707,270,361,984,741,486,372,966,
060,229,712,175,400,598,894,283,302,753,286,419,352,950,013,124,398,518,219,
162,120,516,310,068,153,493,353,192,776,839,348,141,833,577,702,761,608,623,
991,663,690,968,119,830,468,755,050,620,808,779,574,193,769,649,372,043,798,
132,411,155,746,139,163,193,709,048,300,099,392,644,554,757,644,307,099,296,
565,442,398,730,185,779,927,462,756,701,183,916,281,085,779,148,227,817,811,
730,362,405,958,910,450,595,146,170,296,902,923,065,732,276,167,397,983,719,
343,257,590,336,137,563,678,284,720,611,270,079,021,821,157,800,053,402,816,
626,870,093,791,686,885,234,360,678,236,085,977,468,497,657,256,170,411,860,
523,334,799,158,423,738,321,979,076,601,880,038,311,332,146,104,811,530,468,
697,061,661,893,725,972,471,037,950,372,766,330,620,373,816,518,599,723,273,
111,783,514,810,189,630,918,332,587,980,454,506,257,076,394,039,733,355,760,
354,434,143,675,094,734,563,535,095,248,414,826,479,378,581,132,287,064,081,
689,581,135,890,243,486,560,340,116,153,030,778,605,667,426,212,362,435,249,
667,904,822,918,944,991,044,717,219,619,491,441,958,646,945,597,320,358,676,
960,725,988,529,490,850,144,297,351,665,124,359,345,219,501,322,337,806,743,
628,872,228,505,556,721,589,549,608,880,070,452,621,758,091,672,624,115,194,
722,672,781,821,076,072,508,734,061,864,200,742,430,559,890,250,010,728,638,
045,318,371,355,401,969,962,076,664,991,033,733,509,826,158,472,309,059,653,
096,842,390,604,170,523,910,643,536,746,524,079,197,757,754,658,815,602,469,
584,306,933,095,983,346,082,222,798,141,718,966,687,402,776,635,856,226,829,
008,851,534,557,866,171,905,918,704,457,810,810,467,685,164,048,555,739,561,
184,489,074,920,832,626,391,418,107,484,790,723,744,490,020,698,229,099,367,
903,765,877,212,744,506,178,159,752,034,050,577,372,448,662,428,974,791,195,
928,389,004,830,059,908,487,745,211,316,540,944,608,257,570,525,440,980,838,
179,137,195,502,197,672,278,527,589,922,235,824,619,029,793,554,015,953,467,
618,940,917,591,527,879,524,240,168,570,441,525,798,522,914,696,665,911,322,
260,378,839,713,575,796,074,718,758,388,728,808,209,402,209,730,286,685,715,
504,385,232,359,167,024,706,523,665,109,119,891,483,508,292,270,042,910,178,
074,478,645,435,507,190,442,993,101,522,067,350,141,947,402,684,031,511,369,
345,943,299,407,860,613,251,838,409,204,981,925,816,033,190,701,662,230,760,
721,927,991,406,434,983,480,475,855,326,489,708,719,420,263,422,424,334,062,
207,485,129,028,822,774,995,564,422,363,950,590,246,927,322,957,130,403,150,
593,657,921,420,617,758,582,823,221,704,576,389,577,255,411,790,743,938,079,
221,519,745,146,695,010,054,703,087,382,928,297,870,625,633,316,673,350,733,
380,645,188,918,146,118,358,170,872,245,614,776,240,118,383,602,409,588,863,
171,412,534,453,455,418,297,395,928,153,495,881,368,797,200,821,456,133,771,
262,191,212,945,710,202,252,324,114,326,694,849,662,604,251,107,607,101,285,
907,407,591,955,695,768,783,158,243,801,642,257,064,944,776,750,790,415,485,
311,040,515,699,908,096,011,293,799,681,387,959,237,967,396,445,760,122,561,
032,243,590,563,142,031,821,443,325,570,489,788,772,662,219,299,132,914,051,
133,946,685,587,660,309,477,502,014,008,266,818,540,049,877,172,480,146,509,
792,728,602,338,895,652,021,001,491,945,262,329,566,637,717,612,493,099,489,
783,609,866,772,950,530,547,470,275,105,113,213,581,252,021,977,928,256,493,
742,240,245,488,556,416,484,179,680,229,519,137,538,777,647,849,993,530,887,
064,696,945,592,963,191,713,834,271,973,879,708,579,722,701,059,492,190,060,
964,696,951,458,295,772,474,786,745,167,716,634,792,833,540,747,268,448,029,
751,359,476,531,638,736,540,523,843,075,856,520,918,106,635,985,274,380,423,
911,459,572,508,132,072,319,712,046,810,937,065,052,789,384,791,641,206,877,
469,745,322,943,408,850,540,579,871,811,183,581,459,426,822,564,547,179,383,
709,847,530,107,737,698,073,897,354,543,055,423,743,753,357,858,146,757,021,
578,175,595,108,330,852,056,574,598,181,696,434,364,458,173,101,551,610,424,
322,708,414,912,289,882,215,638,726,641,578,432,210,235,533,382,283,089,312,
606,687,918,096,698,641,921,912,266,334,424,766,796,699,970,880,494,226,625,
089,695,895,496,820,933,663,510,476,412,405,695,599,117,016,793,518,297,071,
846,774,841,388,995,084,184,354,067,598,328,418,492,390,887,689,218,872,574,
932,396,525,457,824,733,710,294,405,209,507,356,831,276,902,997,803,837,064,
531,948,564,355,264,445,099,404,110,432,328,022,983,495,673,090,879,036,327,
740,531,458,839,717,336,347,753,775,682,145,672,332,294,936,651,166,011,955,
284,955,221,415,304,429,677,392,837,956,407,580,570,008,337,326,874,807,102,
488,444,873,733,087,606,154,802,753,061,317,129,296,045,176,265,462,302,903,
471,008,948,446,651,295,453,871,804,417,815,475,924,632,055,582,741,135,214,
459,261,075,219,764,145,923,359,686,521,126,127,937,267,818,464,178,582,959,
175,591,464,902,672,890,568,122,214,343,781,112,982,064,130,093,581,732,635,
918,234,534,606,646,814,072,447,112,773,272,267,317,070,923,915,797,204,715,
294,815,097,091,274,794,641,829,644,108,773,165,650,245,491,757,204,229,562,
116,809,338,063,346,317,395,472,172,128,079,231,280,229,620,345,764,578,329,
387,442,742,740,697,468,860,475,448,328,001,746,205,911,811,264,242,584,670,
289,127,928,850,065,087,561,272,280,522,645,445,445,671,956,791,948,116,450,
957,144,656,341,953,660,230,286,209,416,876,217,039,510,178,309,950,521,995,
757,778,261,050,085,425,813,349,500,353,130,541,601,811,857,439,999,873,433,
853,256,343,495,600,718,769,495,459,780,870,605,648,172,769,987,172,637,301,
266,839,223,892,364,127,600,319,434,393,411,350,479,779,224,908,474,237,441,
716,392,228,995,069,831,454,035,544,467,724,891,494,441,138,380,799,952,397,
494,725,443,446,595,249,119,777,368,875,448,823,995,250,409,647,148,557,814,
688,927,579,469,298,633,596,243,807,840,980,119,751,288,412,626,698,012,673,
525,489,932,115,312,619,036,363,191,142,752,007,172,718,236,707,009,896,213,
683,519,196,867,133,655,646,033,255,082,025,507,564,050,995,663,039,755,151,
654,614,323,831,090,551,759,331,942,719,122,607,530,165,543,147,502,325,127,
821,009,060,618,010,673,613,979,073,321,541,188,401,417,054,656,034,834,742,
183,616,178,164,940,688,873,737,319,714,807,069,307,662,732,426,051,692,347,
666,129,872,507,080,085,488,281,023,327,113,570,803,205,563,330,034,127,140,
863,655,035,173,740,940,220,560,699,041,672,740,129,996,725,803,188,620,815,
332,715,921,292,470,022,771,045,741,546,506,509,753,086,843,404,114,892,497,
851,802,430,433,604,918,627,153,959,117,892,856,419,179,310,663,730,549,906,
233,246,111,093,001,149,666,286,947,910,098,372,744,511,222,686,523,180,690,
742,800,483,949,419,082,918,263,064,524,613,115,008,989,026,446,466,920,132,
440,088,018,028,184,300,326,941,740,462,793,677,449,830,843,006,999,193,381,
380,667,946,741,855,945,805,699,336,352,361,806,060,955,427,514,009,007,352,
819,573,377,711,972,666,053,945,407,249,830,421,924,771,070,148,217,631,730,
417,854,561,576,449,180,774,970,308,132,289,339,147,744,740,972,667,823,902,
702,282,867,019,635,810,990,632,115,946,131,743,583,092,386,949,257,499,593,
177,718,024,446,692,305,047,044,872,305,457,001,335,956,545,989,016,712,671,
962,551,823,290,523,397,472,209,992,735,146,275,100,090,946,109,842,962,689,
441,272,465,767,933,911,415,852,398,782,795,749,605,515,920,974,047,440,144,
431,566,296,232,059,297,512,479,276,028,684,577,322,315,905,877,819,592,912,
378,411,751,222,632,721,046,490,173,759,530,230,568,703,411,216,882,198,265,
839,977,156,896,111,392,255,085,137,459,630,313,356,358,816,878,565,271,903,
913,660,990,933,554,968,071,974,536,958,034,961,304,386,421,269,317,062,590,
261,370,971,101,920,934,106,646,145,340,743,962,702,454,782,384,119,744,210,
204,161,009,960,427,556,341,738,236,821,157,821,155,811,450,820,166,177,207,
556,799,069,366,919,805,512,066,176,758,805,542,622,661,414,042,618,550,127,
716,973,698,387,795,666,280,572,979,554,369,390,973,313,598,576,679,390,244,
325,048,962,821,621,966,510,969,560,164,707,273,592,629,490,934,225,106,351,
410,128,860,600,456,764,543,737,938,267,102,537,383,382,987,540,043,976,075,
214,339,587,038,882,098,156,826,157,521,069,651,477,637,810,767,875,106,738,
866,110,080,882,756,221,578,575,459,016,502,815,702,158,360,181,418,688,674,
119,752,993,891,001,407,717,310,406,698,094,311,700,684,824,142,002,640,640,
383,424,445,348,244,610,913,274,413,917,370,016,892,965,313,460,365,608,443,
357,306,519,315,773,591,406,525,186,690,881,698,240,975,657,592,555,493,208,
627,084,843,455,375,358,343,194,644,225,328,761,932,972,167,340,183,248,028,
172,131,454,466,705,989,419,668,693,902,234,720,310,800,516,203,340,438,929,
224,539,551,005,448,359,924,781,251,805,831,371,206,790,190,318,491,143,814,
433,110,680,611,624,502,557,142,360,508,667,374,400,029,483,494,972,900,203,
612,151,260,448,566,611,267,021,903,900,697,830,528,121,574,858,039,943,282,
640,013,256,374,928,707,262,285,042,396,195,119,465,403,075,934,386,482,298,
164,334,946,961,806,070,519,996,104,300,908,505,026,636,075,102,907,684,730,
288,508,514,024,679,662,459,301,933,593,958,945,237,073,860,216,094,830,797,
804,343,670,475,174,967,221,519,724,668,921,395,709,248,484,191,455,031,358,
396,409,554,132,551,812,121,500,999,693,760,751,357,466,601,939,077,313,870,
406,248,546,473,236,390,195,577,127,174,026,308,923,545,068,328,288,815,898,
361,281,904,783,376,729,218,573,089,951,222,913,843,142,481,644,501,058,907,
798,829,481,863,204,193,617,566,335,993,261,588,902,159,991,692,011,121,475,
489,270,741,085,877,855,388,691,342,886,154,585,607,601,076,450,110,665,529,
030,877,436,217,542,781,018,730,725,016,471,931,952,387,081,799,755,128,148,
777,282,467,918,509,824,485,721,934,714,629,122,391,440,609,205,208,404,755,
577,977,018,162,512,892,375,558,709,371,888,223,158,692,052,853,168,743,235,
205,848,515,512,596,643,470,167,013,448,007,893,912,100,912,766,188,379,159,
203,773,360,270,370,587,356,054,384,957,769,764,667,747,842,237,626,660,328,
574,273,757,719,051,912,404,516,532,596,831,186,922,447,677,158,567,104,814,
118,886,052,520,548,433,591,469,017,788,578,550,576,643,347,084,002,300,253,
939,025,400,341,714,286,430,742,427,323,941,851,208,429,666,750,573,914,275,
540,963,945,022,679,480,741,553,721,012,857,388,696,938,100,891,858,113,678,
262,192,527,697,715,632,694,001,312,389,665,873,300,603,544,845,303,134,292,
218,191,288,761,424,914,784,730,456,708,118,751,593,270,678,295,991,798,369,
966,235,100,467,012,354,318,097,428,753,250,802,858,555,383,604,372,301,850,
957,264,525,578,889,163,947,894,115,296,075,842,072,241,505,218,454,153,734,
630,376,816,979,323,281,074,166,369,034,825,499,439,929,260,331,542,959,994,
645,101,471,392,886,208,024,473,679,545,709,412,813,355,002,158,587,106,093,
975,510,495,825,833,938,965,532,102,881,167,417,386,765,261,504,995,639,706,
473,229,442,271,802,279,284,827,138,674,908,649,426,411,817,878,984,919,664,
228,105,659,949,294,761,276,299,383,181,835,216,760,132,157,738,692,298,328,
053,744,185,683,927,669,342,470,283,231,890,091,622,545,692,670,085,792,524,
234,231,261,502,989,362,266,638,614,298,946,142,303,301,393,496,551,853,236,
342,960,458,696,525,130,037,468,331,358,517,283,495,924,558,059,219,689,655,
402,238,542,103,817,043,452,523,920,496,868,837,828,266,822,934,992,480,146,
028,794,564,159,749,197,505,002,948,653,196,933,493,175,395,271,577,229,301,
530,434,336,342,738,330,428,372,746,776,411,181,038,240,619,171,166,114,545,
935,973,585,996,948,122,209,994,390,921,060,847,535,796,560,763,121,062,132,
852,428,174,722,161,153,506,121,019,742,978,282,353,839,007,603,965,566,339,
402,896,806,424,027,565,002,995,739,919,727,707,125,119,096,270,253,609,100,
490,796,709,298,521,520,546,615,790,503,066,751,215,772,003,924,184,628,763,
682,762,600,822,455,097,612,975,262,490,790,582,193,938,457,197,668,815,055,
773,320,546,320,136,689,446,493,242,276,824,956,663,300,073,626,745,574,683,
599,755,804,129,024,653,726,966,452,907,970,182,928,651,578,381,347,410,845,
322,999,966,649,131,090,812,977,492,985,516,173,373,050,859,873,128,926,655,
061,599,754,900,710,441,030,066,631,819,793,151,172,057,668,052,239,150,030,
590,414,535,096,741,960,605,084,292,428,267,157,596,011,143,505,723,878,248,
424,671,967,547,607,651,421,099,446,433,316,365,683,595,467,413,102,834,930,
691,065,278,038,658,665,379,505,164,603,930,105,022,163,445,610,108,890,868,
917,324,320,807,278,373,864,644,866,172,213,281,282,259,138,644,675,399,172,
119,564,421,753,449,559,921,914,743,396,801,444,670,140,002,982,760,765,741,
236,421,508,360,974,319,924,230,946,188,721,196,241,986,452,193,195,557,307,
505,988,453,377,536,180,346,873,616,713,149,297,987,747,295,623,552,599,946,
871,490,013,832,701,292,975,664,085,896,043,168,352,659,672,804,253,280,549,
783,761,957,568,562,042,449,413,703,661,950,806,527,627,603,686,450,153,526,
483,967,194,440,300,227,753,614,579,987,229,114,980,816,156,956,541,616,589,
681,772,484,116,686,656,684,491,100,105,841,896,117,060,986,524,456,443,009,
357,791,289,037,082,547,485,070,649,414,709,221,440,767,847,942,997,116,437,
396,906,615,358,908,190,757,865,286,652,640,539,459,315,247,905,754,468,630,
809,837,041,483,850,837,967,831,913,935,078,837,419,618,751,098,323,540,161,
204,446,431,875,064,754,858,341,514,260,374,618,513,650,571,331,624,760,702,
487,489,829,677,111,700,742,791,051,689,897,822,927,510,160,406,655,566,333,
070,882,447,777,770,824,905,504,923,080,490,348,657,730,133,526,569,992,896,
344,361,606,967,516,696,206,613,064,518,057,564,335,405,927,443,048,305,407,
079,029,081,566,198,599,719,452,982,241,201,799,778,329,249,722,475,113,950,
837,312,488,702,252,345,879,533,129,214,099,763,806,745,904,509,577,309,295,
365,073,677,956,932,361,611,861,298,460,265,186,302,831,754,154,971,186,519,
504,642,597,566,551,330,189,173,315,010,703,002,932,384,829,117,190,935,923,
710,136,857,677,536,670,274,080,954,846,089,576,326,374,396,171,855,232,035,
700,190,838,995,971,856,151,502,339,795,547,014,622,910,968,129,173,358,760,
427,704,062,138,681,534,456,080,358,090,036,665,707,897,304,827,125,209,256,
773,504,962,747,582,075,304,160,525,036,064,424,933,862,727,967,786,071,256,
782,582,750,459,527,434,425,473,128,646,006,928,228,243,393,288,982,189,345,
094,342,615,827,139,243,165,044,172,107,626,122,757,156,427,534,366,080,171,
085,514,791,685,579,458,771,952,521,813,659,951,364,192,319,722,528,463,159,
023,883,936,317,579,961,336,759,448,648,073,497,214,531,809,350,830,558,898,
894,085,996,101,690,830,581,855,584,430,529,839,439,383,731,758,747,205,346,
014,160,550,957,237,614,323,991,560,099,470,892,344,822,501,944,064,050,583,
173,492,093,185,355,318,072,366,058,346,809,539,403,140,803,518,616,415,541,
849,865,896,109,734,493,269,856,366,042,977,592,164,253,589,180,812,965,298,
423,054,071,496,535,853,502,757,889,177,220,106,989,724,777,282,604,986,581,
812,751,914,704,793,954,040,214,558,686,821,270,257,804,317,471,061,662,430,
525,956,868,285,724,233,324,554,755,604,681,092,956,855,566,796,950,726,541,
991,519,078,560,009,328,854,542,327,568,611,837,700,742,382,526,507,330,305,
203,550,749,093,254,822,430,734,908,674,797,154,070,663,477,081,502,219,222,
078,976,383,466,164,616,861,717,620,888,287,166,579,420,567,134,276,462,951,
710,176,919,770,192,772,552,589,064,837,618,305,268,240,363,922,191,228,318,
987,417,481,882,420,633,201,674,704,448,098,104,618,546,167,729,539,325,812,
344,371,808,207,496,226,297,626,314,644,199,203,473,536,391,810,771,246,958,
268,220,084,053,703,012,420,945,614,377,802,099,377,151,321,561,188,630,077,
792,198,883,440,862,652,686,712,672,849,365,332,793,424,055,361,796,735,874,
737,083,844,883,554,716,332,003,168,038,753,842,427,972,683,526,233,784,189,
712,791,393,854,024,292,848,761,501,183,286,201,221,847,667,780,512,604,268,
645,424,069,183,672,287,587,299,003,294,661,023,652,134,920,568,646,964,168,
520,025,279,362,054,003,833,317,533,134,604,472,996,832,109,819,669,436,253,
749,422,295,612,656,553,278,816,775,705,990,602,996,849,906,796,841,820,494,
433,500,159,273,286,698,979,819,487,995,182,361,432,508,611,036,685,764,325,
025,865,724,489,771,429,547,838,056,628,359,084,257,659,472,262,045,657,854,
132,942,656,064,261,850,229,572,854,454,427,275,973,440,061,686,742,134,360,
796,430,256,289,733,324,760,363,653,021,608,033,831,849,673,340,422,270,911,
711,415,187,294,792,008,842,240,785,200,251,126,030,648,765,728,343,847,235,
213,153,382,903,743,416,860,542,980,274,570,942,232,464,435,327,721,142,432,
643,196,356,916,407,316,914,414,590,507,231,944,624,078,480,551,096,946,432,
875,596,076,125,028,391,438,697,783,344,449,983,270,933,920,388,012,435,284,
311,817,640,151,739,024,878,300,739,417,903,221,169,185,897,036,793,989,625,
049,169,687,364,836,524,570,041,415,467,281,685,142,823,915,980,763,915,799,
248,126,597,679,005,525,427,866,339,428,240,967,050,404,325,911,548,210,220,
557,870,849,105,046,574,427,398,207,918,324,695,607,060,576,530,454,069,327,
281,844,102,028,191,031,093,431,414,770,860,888,221,702,734,554,579,716,911,
145,364,989,485,141,861,464,830,955,546,128,343,358,511,599,832,211,865,264,
380,197,466,955,405,545,746,570,290,834,426,509,420,005,407,787,304,231,550,
176,037,772,116,455,102,852,880,291,650,608,868,913,669,140,336,864,053,781,
564,387,392,733,710,390,387,054,501,278,192,846,260,398,367,331,798,389,621,
947,037,760,097,573,942,030,043,163,234,338,478,579,282,095,327,670,290,646,
809,127,683,352,926,183,789,184,741,990,988,283,325,597,435,717,887,391,577,
296,735,949,971,921,138,571,196,466,433,369,884,662,666,827,659,275,636,962,
283,643,270,327,237,786,286,918,258,973,983,006,832,378,000,936,894,118,464,
493,977,227,629,822,387,538,222,824,606,868,679,296,068,210,725,614,507,007,
748,667,052,450,213,271,479,429,484,816,059,898,227,853,764,619,511,662,916,
759,641,235,739,992,658,513,240,406,205,026,435,074,239,110,112,199,573,596,
207,188,529,276,077,330,329,286,784,734,636,168,283,953,161,717,072,616,769,
330,351,589,910,714,358,290,177,531,012,400,859,212,205,446,270,157,648,407,
421,228,734,005,342,193,295,484,853,921,283,247,351,364,401,858,929,291,984,
588,549,618,849,028,648,719,312,137,989,278,103,963,117,412,696,022,841,301,
753,092,798,944,620,195,918,638,804,549,719,713,686,810,534,299,797,971,821,
661,902,275,000,500,969,579,070,100,336,315,486,983,783,708,141,999,507,598,
071,067,756,014,502,680,139,328,361,217,748,420,926,481,504,001,150,772,764,
712,895,661,091,063,327,114,780,459,436,685,054,364,568,936,981,205,356,231,
456,297,088,289,619,313,387,319,377,556,035,566,612,203,220,891,631,551,202,
276,765,867,225,770,358,159,788,162,143,150,728,952,421,697,466,670,898,111,
997,816,332,654,447,153,504,908,244,388,011,290,684,319,074,809,274,433,692,
222,954,461,261,526,444,299,094,997,610,915,162,099,539,232,134,978,381,207,
085,550,219,041,327,856,161,658,431,014,798,838,184,023,384,263,113,783,862,
595,061,354,755,340,058,094,018,347,758,917,954,201,220,133,216,464,883,669,
391,902,901,940,360,513,344,174,747,533,788,840,763,486,988,970,308,538,685,
447,573,189,518,377,095,798,436,610,097,787,520,721,613,943,684,436,817,183,
658,507,515,548,129,945,013,046,904,721,141,016,086,866,281,507,595,016,892,
083,654,129,059,733,945,768,491,358,057,704,824,492,876,349,942,899,172,355,
728,975,318,993,045,747,465,355,575,418,148,570,557,765,848,566,859,147,967,
067,884,092,422,465,766,538,291,612,258,565,100,953,752,471,950,824,332,205,
955,570,550,068,291,031,054,566,618,900,317,155,857,728,013,077,144,907,025,
610,435,561,313,378,142,594,224,398,543,860,038,371,224,302,863,538,024,393,
701,110,793,158,067,531,179,876,606,371,385,690,887,929,781,099,626,444,834,
354,843,584,325,995,250,933,844,824,567,351,411,878,767,128,449,392,216,174,
005,269,810,956,944,686,140,481,381,148,128,611,023,519,485,688,156,351,431,
047,988,390,656,525,580,499,652,919,328,914,986,965,021,105,679,636,368,616,
922,869,430,756,103,390,574,419,924,168,919,943,961,755,710,413,429,342,757,
938,288,717,710,312,540,280,009,005,707,886,317,998,136,658,719,640,824,156,
882,011,592,874,072,151,754,029,677,205,109,291,299,877,275,367,009,613,736,
132,923,647,424,127,067,097,202,881,507,826,319,457,548,144,216,597,657,588,
067,167,435,029,617,770,282,126,450,728,667,765,347,356,378,197,387,397,901,
999,374,183,811,522,279,685,037,516,809,361,810,323,368,483,570,813,031,818,
806,611,182,765,445,246,816,255,891,120,360,374,354,641,002,686,780,400,266,
777,996,334,669,512,288,699,720,915,683,757,886,496,153,113,773,541,932,049,
940,019,755,815,853,499,619,724,805,851,172,234,669,215,766,416,497,187,487,
495,638,912,670,634,034,016,708,109,862,428,278,615,054,609,066,373,997,243,
897,625,425,220,563,927,390,469,082,841,228,565,351,248,203,276,205,955,300,
272,941,364,130,063,965,466,175,782,148,465,702,116,499,523,509,837,694,052,
969,068,232,883,983,950,869,033,925,102,260,715,715,888,921,141,647,284,927,
498,175,419,921,110,145,850,992,403,540,991,974,940,118,128,623,118,984,437,
370,213,432,158,449,237,171,930,273,628,221,179,705,659,050,144,210,636,860,
278,507,371,175,029,476,984,264,175,408,264,587,924,144,437,993,797,386,366,
939,834,417,678,846,799,750,122,797,881,744,181,543,498,583,546,948,499,608,
078,856,368,732,692,690,416,609,701,126,129,679,873,419,740,230,201,661,272,
438,008,423,455,460,803,975,756,727,157,961,019,923,240,502,642,743,774,744,
320,741,277,606,094,049,145,634,622,256,807,359,174,788,738,398,631,561,015,
636,907,913,352,614,067,976,128,804,617,638,478,966,509,689,835,379,176,476,
584,363,331,412,672,785,654,391,709,933,972,154,192,364,246,039,376,013,262,
131,966,655,739,743,628,634,468,171,658,402,018,058,420,780,617,009,063,805,
926,958,964,788,185,139,061,144,033,565,111,006,533,568,042,115,904,890,813,
983,684,527,626,900,664,007,421,428,785,500,454,432,898,450,393,452,109,938,
991,385,144,409,122,275,933,987,869,616,592,663,338,168,857,706,745,598,103,
348,642,786,975,722,276,438,896,915,762,461,026,191,316,679,921,824,683,720,
968,937,027,934,409,112,363,949,237,501,290,639,244,154,438,586,409,405,737,
472,740,879,370,220,792,282,393,859,599,374,787,964,603,670,613,861,619,898,
907,230,568,681,780,059,914,442,503,521,169,940,076,134,773,808,138,199,250,
527,857,731,044,655,534,347,285,853,423,748,295,452,907,565,271,264,358,855,
439,458,568,070,260,160,449,531,709,026,831,721,613,816,133,105,751,439,400,
205,551,195,163,756,511,117,320,345,983,318,292,559,575,604,110,465,053,037,
281,619,117,071,465,366,379,126,068,860,682,417,843,241,641,746,721,892,048,
527,084,572,220,275,831,498,974,665,563,493,321,709,431,278,336,970,412,558,
752,960,677,833,585,407,709,338,621,087,634,316,116,439,061,840,432,577,116,
475,276,872,351,422,635,721,062,819,568,951,689,703,607,856,274,654,863,033,
447,637,417,075,534,480,274,158,820,399,459,352,307,561,025,964,559,927,649,
089,511,071,970,341,293,433,375,811,106,696,601,312,012,695,984,522,312,298,
376,810,026,750,087,111,676,270,707,197,748,718,743,086,702,766,069,803,756,
570,098,614,855,943,244,128,649,503,544,123,976,645,162,657,131,624,706,986,
326,861,172,462,216,353,842,204,119,902,640,935,839,195,355,422,010,949,860,
866,410,353,617,428,302,468,844,540,474,931,877,271,313,702,478,156,911,062,
272,769,910,864,354,084,023,835,435,748,377,913,561,209,014,257,016,622,218,
485,151,753,426,592,356,075,958,990,343,867,900,681,246,655,319,738,497,524,
962,684,508,847,510,588,458,500,598,802,711,618,442,283,235,100,539,507,314,
317,482,750,409,385,648,060,806,538,567,987,070,180,773,490,077,222,195,110,
822,040,048,783,647,402,952,472,168,911,257,272,023,769,117,482,839,767,587,
243,022,785,679,561,921,451,661,047,774,251,942,230,402,126,513,919,774,456,
669,339,661,435,032,882,914,309,495,926,210,982,579,068,689,422,381,050,334,
815,507,859,664,654,114,772,439,094,179,107,820,594,396,269,263,141,095,338,
884,793,045,588,383,180,733,466,093,054,873,547,594,071,515,557,830,596,927,
267,160,504,297,582,657,598,113,765,420,490,596,422,127,936,769,930,721,602,
879,647,455,347,361,700,780,874,515,806,041,237,532,115,147,409,677,152,757,
166,119,585,583,743,349,784,041,496,315,965,497,843,227,870,769,742,725,596,
980,703,860,567,911,491,570,046,409,421,169,598,873,532,814,825,782,732,299,
943,588,398,194,274,936,812,691,114,703,292,533,278,430,526,898,625,224,129,
975,326,840,862,429,862,458,578,467,509,286,542,655,033,339,823,000,326,687,
091,985,755,065,602,724,661,254,855,127,673,021,845,225,186,484,371,523,955,
978,721,212,306,715,860,322,944,226,077,199,850,743,783,352,504,975,176,588,
506,834,135,612,178,444,354,862,974,972,996,013,483,722,563,551,087,815,359,
796,490,181,443,397,782,640,364,716,658,986,096,621,741,264,856,790,302,427,
896,225,857,628,912,144,135,273,352,635,989,161,356,573,352,412,416,293,318,
874,771,598,357,712,614,032,852,790,645,376,656,634,774,551,837,061,336,326,
493,669,447,595,017,274,137,625,201,388,518,524,404,368,545,804,638,858,515,
038,464,809,887,772,314,783,058,928,002,090,947,648,675,136,221,625,219,916,
667,162,450,459,725,324,645,916,410,433,844,257,945,023,779,432,853,497,081,
677,241,565,939,121,066,106,960,779,928,677,313,711,800,614,518,483,266,955,
084,963,807,900,567,068,608,959,466,529,367,991,123,313,139,389,601,636,660,
378,322,771,059,589,086,508,211,285,072,660,526,504,518,507,154,325,195,529,
550,055,206,126,830,240,259,758,409,421,661,920,231,748,520,506,168,602,517,
563,057,477,792,367,441,618,953,836,558,462,118,747,686,639,735,007,833,964,
396,643,831,229,056,767,166,122,302,065,821,736,627,865,860,935,655,913,831,
215,294,301,724,927,891,561,991,902,167,809,890,977,420,951,590,037,864,158,
210,161,280,749,247,036,723,226,702,219,420,263,790,482,291,689,066,711,364,
938,860,364,354,078,320,229,129,017,524,473,051,839,763,813,232,953,607,365,
952,166,733,934,393,393,418,463,457,065,388,629,151,771,959,343,591,153,320,
677,316,627,468,876,641,160,616,471,850,118,512,647,261,654,139,895,167,716,
337,894,702,396,238,235,403,502,982,417,262,633,824,635,240,436,395,874,772,
722,155,525,874,483,628,527,001,585,057,541,457,957,214,028,448,029,742,339,
347,557,850,003,885,935,625,411,719,543,754,741,150,187,369,891,202,966,319,
149,957,538,728,402,037,446,227,319,274,264,484,254,726,692,849,378,739,722,
109,972,109,963,576,571,393,321,089,845,981,880,517,202,981,564,878,023,299,
032,598,427,188,912,137,467,694,660,882,856,901,035,746,161,706,478,129,383,
395,462,195,776,836,853,097,058,791,205,146,683,053,474,452,467,594,555,252,
570,073,543,707,619,008,796,808,375,910,820,914,476,833,981,463,172,025,401,
006,776,495,438,707,802,795,599,232,605,945,646,561,261,646,438,757,158,475,
901,481,558,253,201,093,866,676,934,932,734,984,757,946,207,802,918,854,539,
903,009,796,311,315,290,104,653,426,039,789,195,964,378,841,855,351,270,334,
344,585,940,875,189,944,611,333,018,906,749,765,301,987,723,550,736,913,065,
845,295,596,933,554,218,833,929,733,891,213,226,497,742,987,583,863,199,099,
875,099,299,652,204,514,898,142,239,164,743,741,591,367,264,447,048,825,303,
035,837,294,456,990,785,437,901,057,578,859,963,044,972,388,367,484,806,191,
233,458,827,775,318,897,745,343,438,195,880,217,383,221,766,241,327,078,643,
813,978,043,823,097,529,246,235,740,357,370,309,183,893,791,754,124,041,095,
699,787,342,802,407,723,282,458,099,757,349,657,671,640,919,734,932,205,112,
801,171,898,865,553,298,903,906,320,287,716,882,397,140,196,211,072,351,830,
438,142,533,848,142,931,862,117,992,122,056,596,191,698,138,514,959,345,742,
817,078,950,720,632,748,107,588,785,320,373,848,715,846,705,019,081,168,096,
187,917,956,134,658,201,660,938,761,231,831,087,397,034,126,127,922,179,197,
453,372,216,503,045,080,182,978,470,939,234,347,993,389,626,854,644,987,688,
585,714,316,838,075,208,094,424,300,599,646,720,759,389,012,585,660,438,185,
008,358,562,021,402,424,834,946,008,051,830,826,736,366,184,371,702,630,070,
385,309,489,492,807,250,055,384,663,103,615,755,422,109,869,916,516,562,971,
547,296,801,317,574,991,545,300,446,136,072,996,585,044,272,262,622,103,586,
400,269,296,462,938,479,939,536,603,803,149,169,773,473,494,177,791,041,098,
348,465,104,678,293,199,700,782,267,378,379,099,286,620,392,861,482,203,616,
998,945,655,506,437,870,057,904,613,168,398,065,038,154,762,580,633,832,162,
514,416,593,886,573,036,577,590,281,646,146,652,989,345,947,347,876,927,410,
582,375,608,465,444,747,880,703,818,502,234,239,127,116,723,975,990,343,887,
876,248,077,682,989,890,052,768,547,206,006,037,439,344,541,699,337,497,188,
090,651,538,337,978,862,722,753,444,678,307,761,402,683,179,691,078,083,381,
287,245,796,021,656,699,620,800,975,866,171,578,091,023,707,945,572,243,615,
356,220,295,457,910,387,866,246,375,205,173,018,026,897,799,812,978,245,503,
643,535,136,434,652,447,032,503,269,315,703,916,975,586,947,153,744,418,187,
228,934,170,444,899,660,501,181,708,878,575,846,790,692,781,796,176,781,964,
522,782,928,435,673,110,947,884,349,273,513,226,966,798,620,116,372,205,385,
696,319,423,680,363,233,113,962,059,789,085,591,970,765,212,079,777,438,899,
585,506,030,931,999,718,901,541,697,064,458,381,331,172,914,756,451,273,995,
704,720,414,986,145,013,298,356,782,919,323,356,830,362,425,546,297,557,092,
030,758,778,661,046,191,708,085,091,169,016,955,923,170,802,581,489,553,866,
136,793,438,362,846,784,623,225,823,779,633,737,623,541,803,115,312,742,111,
978,353,600,417,427,063,516,186,229,407,784,966,041,392,764,625,019,967,038,
569,925,741,701,409,492,585,843,425,466,885,391,727,366,623,147,861,590,980,
486,044,414,541,052,056,458,337,569,325,035,139,274,741,105,938,920,896,746,
342,531,756,204,641,230,244,551,342,193,893,057,509,941,841,242,923,430,366,
431,201,299,840,208,955,173,803,179,792,667,588,564,811,337,365,897,091,951,
873,363,702,452,223,087,417,760,723,215,527,603,256,678,318,428,758,660,725,
177,308,659,651,018,778,332,058,961,958,638,308,953,784,086,947,116,248,356,
375,182,974,964,965,961,191,585,029,302,722,756,429,903,310,244,163,827,899,
428,523,736,593,728,685,289,091,843,502,190,267,253,325,014,109,226,416,650,
099,527,144,885,372,121,999,977,730,979,348,650,912,271,377,988,494,279,136,
632,698,206,143,996,464,718,473,426,322,153,137,221,024,982,382,519,120,353,
801,740,425,439,133,200,662,294,118,723,796,202,853,402,915,676,275,924,007,
945,715,805,415,468,378,549,217,005,589,143,286,735,010,529,565,212,264,582,
377,698,675,206,783,415,020,366,556,253,189,758,359,788,720,367,490,303,903,
923,540,508,715,573,137,242,238,682,209,686,574,157,880,318,184,291,865,356,
453,708,101,849,430,467,276,719,606,779,122,840,998,757,414,574,941,995,037,
955,321,520,297,703,613,725,153,169,591,695,502,208,663,774,714,211,233,650,
841,007,841,316,535,908,756,561,979,505,507,588,791,104,841,970,152,610,998,
030,283,753,551,513,770,939,889,344,844,570,824,443,799,456,481,452,625,250,
934,931,949,487,716,109,791,593,758,290,676,559,521,932,135,793,751,901,042,
576,218,131,206,252,624,501,257,231,067,865,439,524,314,279,430,005,395,699,
765,455,205,639,264,448,218,048,155,723,591,076,779,097,853,233,060,066,530,
090,527,802,147,486,922,701,465,137,598,674,373,719,067,028,819,012,191,250,
212,789,545,985,285,911,486,120,303,019,992,916,566,039,328,116,331,186,883,
520,433,506,996,963,788,834,566,842,131,658,765,215,605,426,529,490,028,024,
748,293,939,541,371,262,732,473,896,543,754,101,800,812,644,166,098,765,869,
200,124,166,819,853,029,007,044,927,482,980,825,188,615,302,220,305,113,176,
922,382,096,542,537,098,078,178,603,453,564,059,104,113,023,153,406,653,109,
920,992,916,710,946,113,874,656,434,752,912,861,182,003,512,832,155,458,457,
085,350,854,923,276,325,287,396,778,266,168,889,347,387,518,291,913,221,587,
751,814,218,568,595,523,369,532,281,225,836,499,860,107,645,195,536,019,441,
487,706,931,826,845,738,901,436,081,124,659,594,334,144,882,778,127,276,315,
180,803,915,981,784,327,312,266,131,427,278,981,663,123,777,650,381,236,565,
821,718,124,958,238,748,820,490,536,280,923,465,426,862,085,598,544,805,066,
170,231,126,255,456,019,745,600,955,124,351,920,082,661,919,499,723,904,226,
261,636,093,806,622,647,840,695,008,307,841,994,970,770,160,347,427,035,455,
839,509,748,502,517,753,812,559,568,287,209,009,776,632,779,130,375,445,536,
411,895,388,863,492,033,000,337,377,330,133,789,149,656,846,180,568,301,411,
821,654,793,654,676,413,539,136,483,413,207,935,085,899,183,699,518,078,616,
469,124,284,864,004,053,415,431,587,820,941,574,892,147,321,886,073,654,519,
130,673,634,085,730,483,442,777,712,974,725,544,934,577,345,834,021,454,236,
285,050,112,870,951,062,619,746,342,362,876,892,312,217,654,898,751,372,131,
037,345,305,081,018,895,435,779,298,925,294,633,497,750,698,362,925,918,944,
823,241,474,489,814,440,770,124,757,178,997,267,807,865,462,564,392,738,879,
820,591,608,209,253,446,828,102,727,489,595,550,050,204,442,091,282,488,335,
955,086,138,260,331,127,144,537,825,022,307,020,637,056,938,626,053,658,441,
261,788,638,908,673,099,656,623,834,136,860,061,462,107,401,502,994,398,556,
288,980,636,018,617,351,858,920,262,676,792,775,462,108,820,409,825,678,776,
477,308,509,825,622,453,835,829,350,833,683,003,496,811,230,948,864,432,786,
326,213,190,040,446,081,673,101,235,150,375,019,742,830,359,320,965,546,237,
888,727,674,951,246,259,842,827,358,200,436,035,125,153,661,491,289,715,221,
222,747,382,189,070,236,115,323,450,472,775,203,051,596,688,929,802,621,316,
577,713,807,943,144,916,259,985,616,865,236,016,568,371,459,672,124,513,814,
994,453,430,865,443,391,964,931,705,836,878,796,062,278,132,507,293,520,949,
921,341,633,340,520,454,996,014,623,833,698,266,554,133,721,403,656,459,162,
779,446,642,804,448,787,567,827,538,648,451,670,094,369,878,057,869,785,196,
764,588,677,232,254,001,209,690,306,245,971,039,639,001,808,088,550,244,532,
239,754,697,470,492,688,471,043,265,395,887,568,708,978,356,127,880,904,093,
268,595,245,534,132,673,997,303,351,843,631,944,890,154,484,524,692,473,462,
972,057,431,015,308,078,849,372,434,986,638,151,564,528,370,509,325,040,373,
159,691,805,995,203,383,322,526,892,191,909,542,767,190,240,556,521,439,885,
019,101,372,013,015,343,634,123,179,470,603,705,014,308,925,351,314,839,755,
841,194,998,384,739,383,584,686,985,546,443,681,972,375,599,008,642,143,144,
666,855,556,435,427,878,940,613,571,233,885,604,987,560,427,780,997,363,834,
966,856,428,971,940,984,141,873,457,588,937,656,973,835,284,330,083,175,256,
843,537,226,515,080,330,120,352,607,660,039,259,480,413,234,620,186,197,394,
378,851,000,973,246,848,505,367,479,005,004,536,415,455,976,217,004,095,570,
219,320,620,886,615,553,968,269,249,202,966,430,377,378,448,797,761,787,866,
694,794,837,706,842,557,111,428,712,420,606,156,409,475,919,174,533,701,433,
773,079,208,633,953,011,068,187,065,040,765,415,967,717,125,103,484,712,994,
100,450,991,095,734,755,811,191,209,813,273,117,562,977,186,549,491,001,844,
946,555,026,500,050,037,076,681,126,960,559,484,953,705,043,980,452,303,250,
235,978,513,786,869,514,374,090,910,267,418,633,825,226,819,737,205,002,565,
428,705,922,171,089,388,452,114,669,975,672,986,648,632,810,095,822,314,950,
493,161,376,473,003,848,202,741,019,825,354,246,095,068,585,260,389,730,849,
846,180,788,435,564,933,507,834,757,015,230,589,918,885,624,829,668,256,137,
167,446,297,544,468,001,518,406,882,479,132,299,856,930,213,265,121,385,740,
169,462,028,792,729,917,175,455,848,331,852,974,184,099,145,120,800,807,362,
916,841,095,912,897,088,736,839,793,772,261,735,646,087,344,333,401,859,646,
051,641,333,749,907,970,342,280,382,317,724,178,211,704,325,731,157,432,725,
380,630,920,093,008,192,614,305,881,556,070,862,911,592,548,993,921,332,013,
882,992,317,704,588,012,475,805,538,342,818,546,060,257,530,124,903,526,619,
179,061,170,814,860,220,230,816,394,152,414,917,499,692,626,357,169,380,284,
365,743,397,900,734,370,654,926,047,718,801,899,090,101,362,407,635,495,029,
763,839,374,246,360,511,490,170,338,291,584,863,772,089,532,724,468,916,642,
295,433,784,171,307,536,744,810,896,489,484,036,697,167,337,831,635,579,235,
798,981,586,527,813,023,281,730,342,357,078,138,342,112,008,155,617,171,309,
744,073,978,855,582,444,224,779,600,171,428,878,620,349,896,127,225,463,886,
007,692,232,363,240,422,560,834,796,712,760,701,042,069,601,433,320,099,305,
038,014,667,404,949,037,188,013,246,647,070,581,273,305,845,623,478,027,720,
747,080,513,622,578,134,207,314,986,144,793,377,429,528,702,487,626,559,906,
955,449,158,426,012,302,623,979,127,081,142,591,670,423,278,080,354,353,703,
053,213,082,074,648,621,490,734,282,208,050,550,488,569,229,270,121,088,902,
930,243,846,883,788,721,979,521,374,906,640,554,444,637,850,191,877,086,245,
143,480,664,941,778,863,176,359,467,736,214,149,920,310,346,448,274,288,271,
664,859,105,501,530,796,551,068,609,643,011,022,889,345,317,599,364,747,787,
119,776,054,045,660,863,413,436,830,347,277,091,715,310,064,870,039,787,449,
784,894,997,153,792,514,776,950,260,453,566,271,649,998,792,962,400,223,328,
688,025,384,794,942,553,129,085,345,245,157,141,146,785,853,118,375,429,451,
226,516,149,054,122,582,730,379,064,594,518,525,994,453,396,781,882,328,179,
197,310,327,784,580,416,395,265,727,682,792,012,080,588,730,640,830,330,432,
062,809,012,706,082,785,809,998,036,719,389,378,479,611,784,712,681,569,569,
726,375,928,259,674,350,816,405,292,702,498,404,152,437,578,778,979,231,391,
502,118,023,562,025,936,207,896,886,454,920,316,169,632,512,825,734,971,456,
838,753,495,122,575,506,976,035,155,258,172,533,556,800,211,233,835,396,158,
212,191,217,551,182,541,710,464,888,886,938,563,678,478,792,144,747,456,213,
421,832,787,723,773,488,750,652,426,806,348,337,514,590,792,288,675,093,510,
704,945,651,615,211,236,022,173,650,389,353,717,106,603,346,784,129,012,209,
488,928,388,804,345,465,857,919,759,651,187,221,526,978,866,630,529,790,099,
987,042,110,972,583,260,542,707,579,769,224,716,419,736,638,126,479,104,614,
924,826,813,438,791,963,532,260,749,349,546,192,024,885,215,461,341,487,735,
834,525,965,593,366,239,483,650,067,465,748,563,608,885,564,265,487,063,880,
279,459,318,087,273,778,526,138,150,243,430,499,474,317,770,855,427,782,973,
043,134,707,437,977,007,005,270,224,843,268,134,987,848,413,131,230,763,491,
427,926,813,909,822,965,216,286,832,126,106,854,841,442,474,021,872,277,069,
297,402,154,816,009,513,403,044,584,503,384,665,634,729,472,509,822,404,836,
446,121,722,601,862,779,665,341,759,538,952,983,253,559,618,101,356,909,511,
849,544,201,339,220,208,728,171,635,408,318,151,114,464,495,430,616,278,654,
811,507,287,557,339,809,019,174,301,056,396,990,466,885,939,036,158,996,050,
981,037,522,894,102,134,948,119,463,175,979,945,138,417,887,578,725,400,061,
700,733,080,574,594,906,476,303,063,747,167,627,651,159,947,116,595,537,806,
574,246,312,348,094,296,551,303,843,322,994,695,401,785,878,598,071,057,910,
816,265,874,898,240,745,909,074,767,980,686,277,812,145,373,922,056,452,545,
185,981,465,790,992,741,952,378,843,628,813,537,844,345,358,371,890,632,823,
256,376,698,000,417,211,251,038,094,325,102,915,829,327,022,968,805,091,445,
731,887,622,474,124,322,149,639,994,605,716,849,659,581,627,591,482,920,775,
622,930,741,854,533,591,395,211,723,605,613,090,414,302,753,687,771,801,761,
761,615,506,681,705,418,652,726,389,618,464,243,036,296,926,158,619,936,749,
991,782,997,803,082,871,298,766,082,911,198,905,860,128,013,794,148,370,141,
247,297,260,030,145,461,044,185,427,426,806,387,806,787,126,698,853,498,138,
904,884,849,319,006,051,575,255,651,473,426,050,715,967,535,900,823,031,985,
045,465,617,069,118,152,671,264,195,342,957,507,811,787,585,036,665,891,147,
653,868,759,947,903,670,491,162,828,685,716,436,014,806,312,956,748,105,907,
432,708,888,665,625,253,862,515,023,412,871,386,710,403,839,353,769,801,022,
087,087,419,864,856,502,450,652,427,560,104,509,301,928,358,017,712,237,116,
770,042,734,804,550,653,915,777,834,734,777,108,831,761,344,151,325,754,487,
332,920,384,371,088,302,389,753,422,332,288,514,428,627,759,306,912,135,482,
368,007,294,146,452,155,807,282,402,747,266,797,706,704,660,493,743,429,772,
066,891,950,131,244,188,032,723,049,123,596,640,419,747,949,184,092,002,233,
459,535,905,002,465,622,401,537,671,258,356,767,663,261,956,245,145,881,313,
659,804,029,555,253,981,431,910,969,055,685,474,946,222,288,664,564,111,113,
766,307,783,815,598,712,159,832,439,566,870,194,262,615,831,100,615,620,183,
077,981,774,036,102,358,407,460,589,641,205,506,509,024,669,341,741,144,325,
432,105,210,137,863,428,119,698,395,826,483,459,568,578,332,609,377,085,275,
863,716,860,836,210,653,148,774,820,746,711,734,396,586,630,730,134,776,354,
750,202,956,468,350,732,646,303,631,275,217,521,844,378,485,798,983,455,509,
640,309,386,520,082,561,975,620,315,270,094,010,464,523,097,155,053,483,388,
916,139,488,534,865,535,589,869,676,480,792,399,193,374,683,657,636,597,017,
955,886,995,649,591,191,209,223,602,738,531,904,826,820,834,543,063,767,641,
015,392,875,618,100,603,664,074,476,733,049,499,009,988,450,637,894,366,327,
636,654,080,726,375,564,676,392,877,468,496,526,455,969,678,022,292,345,159,
690,825,612,159,215,914,104,680,352,896,529,199,147,991,448,130,524,350,261,
541,386,814,358,865,938,061,742,262,678,683,764,724,272,057,446,020,726,600,
227,720,436,416,559,790,193,833,941,943,054,534,713,101,418,034,980,241,050,
721,183,620,972,644,363,079,386,315,952,326,142,403,085,412,334,281,120,154,
957,304,611,385,190,889,362,832,722,072,906,951,722,969,562,437,786,821,506,
632,981,894,240,233,745,127,433,716,844,746,785,687,094,299,908,363,896,148,
255,642,712,127,680,007,395,173,931,612,622,380,674,087,484,255,668,146,488,
947,557,652,213,363,169,340,320,031,386,496,227,355,222,188,363,280,553,690,
038,183,804,796,726,480,014,189,635,439,135,999,552,286,643,422,311,292,129,
692,412,887,725,743,269,468,987,632,905,181,148,715,621,579,447,291,553,601,
294,262,263,107,944,724,662,243,924,256,137,972,146,614,026,369,975,998,279,
557,500,998,167,238,586,131,166,769,907,166,909,598,412,732,897,743,349,757,
188,152,830,651,600,667,109,452,114,848,030,652,762,823,277,427,420,018,941,
956,606,303,825,408,886,649,710,046,177,744,811,109,830,468,743,847,842,220,
940,956,079,524,030,786,827,958,641,677,962,807,527,262,258,867,847,294,141,
871,373,846,874,053,559,595,630,826,648,305,903,722,393,375,480,899,975,921,
069,842,541,526,193,183,098,659,079,346,656,512,074,387,108,865,900,759,239,
986,262,177,515,825,940,396,914,577,123,750,623,847,127,031,553,263,767,406,
007,722,331,418,182,922,796,045,394,606,242,004,926,730,526,477,734,991,454,
046,151,014,369,204,636,684,822,537,564,284,022,485,263,990,428,572,767,220,
850,702,243,199,948,780,936,176,495,126,805,584,017,446,751,257,259,093,912,
279,122,128,219,255,826,661,298,349,095,492,602,380,338,094,462,756,706,705,
832,605,051,235,397,198,006,473,408,759,846,337,092,758,428,495,121,521,675,
648,482,040,437,755,155,006,489,584,557,872,856,988,674,680,789,755,487,295,
445,181,313,650,288,158,743,012,699,624,556,098,807,575,259,072,499,025,089,
471,663,349,846,655,820,321,805,576,998,062,309,595,579,514,562,720,963,941,
149,983,765,414,942,688,272,981,942,265,360,907,735,421,950,060,853,645,211,
987,411,567,345,526,665,219,540,177,739,278,206,957,542,189,096,810,415,776,
846,085,436,407,907,534,748,555,626,859,503,994,218,201,003,448,006,077,671,
836,598,831,076,370,756,149,419,728,372,004,528,261,388,393,703,434,958,286,
357,099,366,223,937,372,635,774,584,047,054,699,925,125,930,455,693,800,987,
416,884,274,402,540,151,224,447,499,208,918,354,675,297,908,464,626,044,759,
413,857,279,749,411,184,182,171,650,176,485,852,387,961,056,321,970,182,194,
725,413,105,031,036,404,494,218,943,008,388,307,835,248,074,379,146,089,007,
845,913,445,714,620,683,631,812,000,274,951,720,099,444,863,875,067,468,497,
530,353,858,616,922,153,851,221,013,902,833,015,018,533,002,068,430,519,993,
371,102,483,035,911,500,872,502,117,614,554,461,557,432,068,338,195,267,813,
438,438,827,347,290,234,187,929,737,188,412,353,332,665,850,365,150,051,851,
681,510,957,304,596,748,132,099,825,143,294,780,616,452,814,117,978,210,545,
266,897,866,156,159,236,370,139,894,854,137,152,453,797,645,511,392,542,628,
695,814,212,513,299,911,372,001,694,370,892,362,659,647,242,883,188,034,530,
495,190,290,856,268,417,684,743,615,069,856,687,308,354,722,745,820,394,559,
352,593,946,918,401,018,769,462,801,003,463,649,739,866,112,805,897,623,465,
384,625,658,998,664,595,181,972,782,392,076,469,747,202,917,579,181,171,545,
580,616,409,234,345,935,053,186,571,516,982,872,025,279,050,440,753,395,942,
918,113,498,573,922,101,795,209,436,755,857,831,372,026,596,144,298,579,717,
721,707,424,298,632,155,969,991,090,602,221,999,974,077,576,199,918,830,765,
271,505,496,497,974,657,111,524,432,313,004,222,440,644,377,208,235,647,888,
676,126,502,763,828,446,463,262,280,836,808,564,641,364,792,935,143,089,974,
829,108,243,066,307,013,219,661,618,016,414,961,628,372,862,157,794,937,738,
127,799,949,896,807,156,169,434,795,724,850,832,567,214,760,885,653,226,760,
211,020,589,058,028,476,125,368,081,940,889,089,671,977,381,451,152,538,336,
751,252,862,472,222,824,725,948,873,762,168,138,631,694,660,360,432,037,784,
178,211,671,789,843,619,986,940,320,241,299,019,501,594,956,943,415,092,338,
086,300,493,211,456,312,639,677,977,612,155,971,897,749,865,662,914,394,342,
167,722,822,164,139,156,527,253,502,005,684,875,277,944,654,048,113,948,568,
726,188,307,080,837,587,579,025,680,792,379,508,551,429,940,342,607,261,932,
978,978,179,009,988,899,441,600,145,119,971,065,569,885,790,374,094,206,212,
844,143,089,601,127,686,222,734,963,004,575,570,062,067,685,415,263,184,655,
719,491,811,842,173,663,961,893,841,864,619,908,496,555,404,330,672,895,039,
096,084,393,493,051,121,636,959,254,310,091,198,015,696,807,889,569,486,199,
824,248,714,363,358,226,986,626,315,900,921,399,787,888,904,600,723,769,706,
182,170,194,739,519,601,686,589,218,371,838,852,404,917,685,521,474,351,457,
713,191,980,574,069,936,814,022,600,288,660,689,549,541,180,358,627,734,254,
781,584,428,609,959,537,570,285,594,737,631,752,033,655,156,007,124,854,431,
393,490,303,816,075,310,062,455,249,751,816,520,406,753,824,144,594,421,270,
164,152,122,911,801,882,057,000,788,444,879,930,752,682,422,948,552,329,456,
276,411,476,700,808,036,315,454,331,011,885,562,951,520,966,246,801,617,905,
055,135,556,277,605,145,609,460,261,746,632,846,974,887,492,490,050,701,339,
187,046,790,771,719,248,992,447,350,001,974,245,624,723,526,988,570,255,197,
755,299,816,550,712,059,454,593,227,394,264,264,587,214,778,875,536,852,572,
104,407,565,909,858,433,068,581,312,786,897,829,538,244,268,119,809,804,304,
901,813,156,018,666,804,181,540,372,862,384,024,647,511,566,200,615,940,100,
625,740,272,278,006,644,732,951,511,022,323,688,653,651,116,614,937,643,163,
243,751,368,096,213,560,239,393,117,772,917,015,782,880,821,346,183,147,353,
734,588,729,469,725,247,462,424,928,416,007,993,780,650,675,329,807,346,075,
449,667,209,516,079,309,852,367,623,805,521,702,317,391,393,275,652,757,679,
084,602,720,276,868,210,738,670,231,429,142,034,786,094,966,757,256,230,585,
836,894,455,120,787,521,116,052,518,403,042,969,700,352,021,745,056,793,052,
338,803,131,411,330,093,270,677,620,291,057,934,111,855,855,773,215,967,984,
873,302,078,237,647,136,112,743,039,421,359,703,068,711,449,155,652,763,230,
212,975,070,130,763,159,171,028,749,132,352,527,485,953,065,701,489,786,494,
222,182,160,727,184,663,565,817,894,973,496,351,544,433,037,913,537,573,512,
762,208,282,977,467,562,202,280,706,113,923,125,980,501,336,020,093,316,113,
323,078,096,178,408,995,166,535,097,536,994,394,394,450,617,606,986,231,864,
044,985,256,255,105,204,763,378,591,703,325,031,055,713,848,717,688,228,245,
577,650,400,231,900,931,252,422,498,873,098,860,005,299,184,461,199,267,095,
903,905,461,144,921,761,097,187,814,856,198,232,716,810,022,233,987,641,346,
244,641,523,381,931,093,443,620,749,138,010,312,869,549,615,434,338,204,002,
264,259,215,224,824,489,534,550,985,309,119,239,903,626,537,442,606,400,815,
224,943,285,879,898,894,173,349,359,324,124,336,892,926,404,792,773,874,575,
160,125,161,003,587,623,852,470,084,506,382,959,557,984,170,152,507,859,047,
852,402,291,686,818,003,222,295,256,006,313,021,774,056,867,838,790,117,244,
673,023,122,579,208,497,277,013,366,913,823,270,234,430,891,578,703,210,455,
030,819,578,119,159,994,842,847,868,930,214,532,474,293,522,085,210,927,241,
241,795,256,666,748,440,689,041,597,094,637,845,379,180,152,607,429,844,003,
552,083,137,785,206,631,301,213,278,363,299,807,396,812,066,150,224,080,992,
224,418,684,857,376,011,722,724,836,423,327,603,752,108,633,221,693,327,815,
236,795,846,407,182,807,295,608,457,754,577,509,362,077,370,411,942,377,352,
757,440,248,754,473,953,948,852,076,880,826,894,971,776,007,560,375,554,691,
136,436,949,000,154,881,037,341,874,994,602,179,104,308,017,714,019,820,283,
047,419,941,971,231,653,124,812,626,909,116,463,790,681,260,961,532,593,776,
706,610,320,166,189,194,057,456,601,360,096,217,108,122,089,778,603,923,460,
399,703,103,187,355,218,005,780,268,156,011,250,827,623,160,222,844,179,750,
749,331,325,274,323,727,035,658,105,506,437,489,177,698,685,002,431,109,816,
452,862,922,034,727,995,151,233,280,225,375,736,918,267,863,945,557,161,389,
244,867,622,112,477,251,193,188,979,607,846,528,929,884,507,546,167,551,102,
995,113,403,650,225,352,179,324,550,415,162,473,920,953,921,336,946,061,649,
294,708,664,590,623,981,127,224,682,593,662,951,506,369,697,150,276,101,614,
405,281,456,525,989,246,557,946,572,653,562,609,245,669,814,649,541,999,426,
949,986,474,601,174,918,615,656,835,036,917,170,504,940,130,952,320,826,572,
110,534,059,264,767,467,050,597,841,229,915,253,567,523,330,565,267,784,327,
359,326,204,180,352,093,429,214,032,611,177,720,388,563,706,602,343,809,036,
358,986,319,360,719,585,115,768,406,276,779,542,318,763,809,769,139,873,490,
295,584,038,225,961,722,897,303,645,918,163,269,970,002,694,473,392,935,364,
433,441,416,186,513,348,886,153,234,597,219,436,228,456,768,238,832,505,486,
913,325,005,607,321,765,637,607,940,790,120,765,234,158,457,625,075,252,034,
482,092,808,684,611,593,026,840,842,281,712,735,890,883,771,015,761,037,654,
561,062,587,134,270,331,187,748,370,284,283,507,719,580,498,921,018,629,576,
610,684,291,864,553,583,584,679,046,885,781,515,018,976,131,295,691,830,778,
769,176,391,141,031,615,017,019,018,102,951,632,699,015,433,289,375,170,560,
563,482,631,835,473,096,994,080,348,625,198,057,023,308,439,562,217,599,872,
784,871,865,464,742,089,271,725,153,646,339,640,779,695,075,995,948,042,088,
155,581,666,744,008,340,174,767,431,665,104,177,141,732,439,174,489,658,482,
164,030,585,958,908,036,340,015,805,454,168,757,164,374,198,727,983,156,167,
412,746,509,784,369,214,580,169,740,819,347,591,308,169,291,047,601,441,832,
036,334,268,438,112,539,101,553,283,650,321,710,523,533,641,386,148,175,583,
145,144,551,062,289,931,311,191,669,713,848,427,131,785,834,453,238,059,774,
627,446,331,444,798,792,049,619,678,441,698,040,538,531,949,842,274,486,503,
586,083,726,056,018,722,240,140,996,526,557,290,790,141,457,640,683,649,533,
603,607,629,370,222,315,314,782,152,400,621,899,293,740,150,787,556,059,535,
472,143,730,020,633,020,870,982,345,191,015,262,331,232,882,571,549,243,564,
484,744,725,068,815,463,004,260,338,125,822,813,053,083,100,051,853,492,035,
612,125,461,740,936,677,044,961,133,417,625,478,189,856,820,722,922,433,816,
053,901,929,163,338,265,807,060,420,630,442,069,586,187,034,253,519,000,320,
368,017,353,658,216,235,549,300,241,916,530,036,722,082,148,228,958,369,098,
089,710,490,671,687,820,481,416,326,333,664,782,959,627,924,383,870,283,173,
344,746,761,811,364,148,960,092,514,534,804,436,070,223,593,578,610,481,393,
274,270,041,720,982,395,982,430,676,855,552,036,234,013,498,198,839,690,177,
057,373,711,893,980,484,635,986,514,190,480,335,167,892,428,541,142,036,185,
820,625,885,452,457,786,286,168,473,024,908,193,365,135,864,078,143,553,808,
115,169,831,615,017,894,260,153,080,174,771,440,943,867,643,348,614,085,180,
856,947,436,665,011,720,065,034,760,057,077,689,137,522,905,360,972,418,044,
714,975,550,409,743,098,002,347,884,005,463,204,331,169,795,411,172,702,062,
199,750,781,979,466,466,714,677,951,772,670,175,182,937,470,977,087,478,048,
191,315,055,275,805,660,654,730,617,028,679,260,015,095,416,765,761,582,055,
139,470,029,055,782,631,214,392,046,516,836,904,293,065,092,427,759,303,445,
929,214,934,268,664,864,733,760,779,644,342,004,389,188,111,804,636,450,477,
648,364,305,856,837,836,053,214,780,921,860,363,023,028,919,133,750,579,022,
578,059,118,863,882,637,981,204,631,063,798,832,561,867,505,208,770,923,097,
042,962,616,824,607,355,943,166,131,009,040,825,220,873,636,299,518,977,485,
231,996,869,929,391,791,946,745,400,822,882,893,564,157,554,544,107,895,356,
190,155,126,671,784,799,092,868,702,337,937,854,913,250,005,385,659,657,753,
700,668,111,060,215,007,387,207,072,868,625,645,829,540,970,513,961,659,840,
342,763,209,496,477,312,633,312,729,376,793,283,247,280,096,318,736,330,383,
795,657,143,594,606,326,143,956,746,319,474,639,218,403,035,845,279,123,609,
949,673,987,715,150,034,292,683,443,896,872,164,632,326,908,409,700,499,173,
389,388,659,515,266,093,227,929,771,630,086,793,910,811,703,931,993,510,419,
458,301,268,563,460,404,607,666,267,832,427,308,524,094,983,655,184,291,761,
651,662,736,944,162,868,480,334,683,212,658,973,867,247,220,246,044,209,020,
057,732,063,056,646,376,472,986,130,669,672,244,787,048,953,131,653,878,851,
712,366,769,588,048,977,903,391,661,075,756,223,540,349,180,002,017,309,491,
803,474,481,963,843,031,125,499,168,948,899,231,056,903,043,382,727,966,103,
370,439,496,399,450,853,329,104,485,180,124,618,552,885,586,322,458,289,160,
889,637,582,695,374,183,108,289,430,697,533,871,033,187,259,089,235,952,388,
376,200,444,843,905,759,700,573,986,764,834,240,117,513,238,014,292,151,228,
872,871,121,813,297,704,626,298,898,710,601,895,672,223,694,055,996,436,002,
497,371,929,265,758,376,719,648,122,815,729,349,756,063,015,899,118,007,854,
992,182,102,902,113,990,954,578,032,098,943,426,636,709,180,039,496,106,378,
769,255,783,486,842,748,969,822,965,376,381,894,103,770,438,713,609,692,871,
288,958,359,548,091,410,914,915,486,288,175,731,272,332,116,030,686,031,974,
475,234,622,212,286,515,239,833,010,985,761,128,563,996,923,250,693,297,914,
334,937,745,501,290,587,470,913,875,089,739,388,624,679,189,943,404,027,776,
520,223,354,134,654,772,616,933,891,655,990,464,824,504,471,676,175,690,371,
579,692,969,208,721,519,200,887,099,209,129,733,536,324,074,299,337,114,386,
571,071,860,330,434,769,518,481,656,774,087,202,884,180,057,618,739,457,290,
245,247,943,590,128,261,264,239,146,231,374,314,823,855,002,301,979,633,700,
814,914,678,572,462,867,088,387,290,359,250,964,109,051,048,453,570,740,027,
277,836,948,191,461,447,234,264,538,652,994,972,635,172,683,104,618,963,319,
392,640,744,740,810,903,918,425,082,708,938,423,546,842,448,651,697,456,838,
302,486,755,458,876,776,656,307,567,841,820,583,675,901,525,063,279,699,002,
020,601,976,773,389,923,121,155,078,046,805,900,358,609,511,173,812,980,736,
707,782,636,091,144,741,998,971,873,547,047,908,544,864,294,725,229,081,946,
771,603,844,869,490,369,932,436,757,766,329,714,501,971,410,605,915,016,385,
609,196,818,070,763,518,989,538,626,731,698,954,736,296,999,743,260,763,952,
109,109,858,741,646,469,391,229,523,268,646,157,709,856,837,852,520,149,763,
007,925,168,452,427,603,462,867,918,839,787,801,919,416,792,037,169,840,566,
783,954,334,695,313,056,655,619,663,582,896,116,568,523,763,796,159,168,585,
145,727,619,817,889,702,837,691,828,672,905,918,952,089,177,473,688,450,007,
179,560,002,052,543,898,746,785,345,471,167,041,377,137,219,592,509,598,837,
193,570,681,316,061,571,869,706,271,776,081,622,204,664,200,832,178,554,659,
342,037,124,478,908,183,190,025,186,027,745,710,603,848,796,901,340,265,443,
804,065,269,315,597,614,111,808,028,128,441,229,125,001,222,925,426,623,202,
601,449,884,834,330,612,406,377,537,520,119,183,577,313,949,479,348,672,173,
727,666,235,446,439,563,674,552,714,195,084,803,407,100,637,515,874,463,050,
012,471,851,723,681,795,733,763,432,081,506,002,953,276,051,216,542,219,105,
250,469,071,229,363,533,710,208,876,862,222,521,973,818,774,186,042,284,387,
426,827,431,641,133,331,021,398,885,305,024,320,616,542,458,060,788,034,041,
816,092,783,221,788,356,092,340,415,345,334,571,465,969,782,222,649,769,600,
269,712,438,285,038,778,398,661,965,101,543,905,202,130,675,257,868,149,107,
433,593,809,251,634,702,672,534,639,689,634,961,720,074,516,712,414,882,609,
166,338,265,197,827,484,905,376,616,091,608,915,293,707,647,282,775,954,436,
942,095,252,092,360,444,450,727,325,446,789,392,784,561,315,271,268,385,468,
020,820,325,579,783,375,147,786,408,592,714,585,997,102,741,766,873,682,765,
283,440,067,793,957,844,829,208,506,635,814,454,833,741,112,071,013,530,509,
508,932,290,987,427,548,867,410,766,250,226,510,033,249,512,105,212,331,571,
638,649,769,295,368,376,848,880,127,140,671,410,818,488,359,902,815,800,691,
187,930,136,716,351,538,367,960,238,555,879,795,235,352,799,340,492,957,923,
278,565,407,938,127,060,490,870,948,275,234,518,103,059,919,471,019,424,420,
398,609,783,239,927,699,078,324,388,940,517,020,282,430,478,311,641,617,423,
835,087,821,265,176,713,060,119,352,029,890,897,806,212,240,630,049,870,033,
543,604,131,731,533,773,457,328,325,037,430,498,886,304,187,125,722,269,995,
810,710,082,042,183,402,047,293,084,805,289,452,736,863,994,740,553,048,062,
764,806,273,093,450,481,406,536,293,284,637,229,589,187,217,389,094,350,461,
201,785,608,004,617,558,496,612,033,650,936,430,799,121,892,534,061,827,185,
433,882,918,079,560,618,980,153,284,449,324,530,795,173,523,991,919,580,487,
628,151,985,542,819,395,525,257,202,892,260,795,072,197,670,419,254,549,723,
517,572,830,644,286,470,527,343,916,789,173,330,237,467,566,978,664,336,427,
705,401,829,169,073,695,934,472,319,274,190,471,666,428,155,809,795,231,185,
000,852,672,124,384,456,155,201,291,138,145,194,394,462,559,368,113,607,946,
494,652,863,312,073,629,024,452,245,482,958,273,469,264,157,845,546,247,447,
412,931,411,728,795,632,438,427,199,336,679,971,706,408,992,760,777,819,714,
690,314,298,035,429,993,109,431,127,933,641,012,118,938,330,935,378,418,891,
051,391,520,926,436,259,035,591,539,264,030,200,189,816,870,302,346,012,972,
501,399,337,193,833,885,347,477,208,773,542,555,087,974,570,021,437,900,942,
836,335,803,647,673,944,177,947,580,701,351,121,093,055,855,488,848,962,871,
625,416,016,295,480,838,070,313,972,226,863,312,546,656,147,709,946,198,010,
002,149,585,347,170,197,827,305,785,635,544,556,100,119,306,627,085,728,057,
661,228,983,776,125,949,809,713,464,812,929,727,802,263,269,974,047,904,811,
899,279,476,283,820,818,544,361,395,015,364,892,704,412,102,576,390,211,057,
655,438,571,202,198,394,242,279,773,572,389,493,935,436,240,922,720,329,755,
717,550,853,026,397,581,617,274,777,883,688,082,924,972,996,490,567,473,047,
255,747,080,875,896,091,615,548,903,008,844,936,275,146,539,454,702,691,657,
206,742,620,753,615,406,012,030,721,255,135,133,728,863,491,459,468,115,497,
979,410,035,480,797,868,914,651,921,368,329,270,008,467,789,382,093,106,958,
241,253,323,548,786,927,541,564,729,344,118,179,159,525,116,262,733,101,088,
017,344,425,954,616,946,743,189,142,576,549,773,729,059,187,879,302,852,071,
148,544,976,867,753,822,025,691,728,853,994,681,049,499,718,813,466,185,030,
987,098,675,125,214,719,144,406,412,659,748,551,925,942,095,734,083,915,907,
788,403,306,673,338,064,015,052,660,750,176,738,542,146,088,270,721,712,031,
996,323,335,267,871,630,142,365,694,706,550,461,614,702,468,860,047,502,710,
143,260,392,917,579,874,661,540,436,336,652,061,008,302,396,712,199,368,309,
379,229,348,650,902,375,348,699,920,164,177,469,431,093,670,571,234,621,358,
326,727,242,832,845,608,374,630,222,418,136,842,451,732,187,128,980,655,910,
445,879,789,767,291,113,913,609,422,839,490,166,523,807,487,584,000,237,773,
892,945,095,510,662,279,589,511,914,031,396,960,139,444,116,797,151,113,112,
554,347,430,028,779,236,475,050,739,354,113,591,292,529,104,542,125,170,359,
151,728,043,069,250,916,308,608,394,620,654,750,699,605,963,926,319,528,701,
177,344,372,229,144,716,529,312,548,550,723,945,500,874,572,248,984,643,106,
153,620,549,518,079,117,529,184,605,132,210,733,237,438,885,201,823,920,515,
459,235,019,429,601,779,141,364,659,186,712,385,755,911,770,714,970,201,918,
470,765,672,239,629,169,456,495,370,516,988,216,750,912,155,374,115,298,755,
330,489,248,526,744,120,518,301,245,117,180,323,252,648,578,642,919,592,799,
459,612,905,633,298,393,974,870,384,337,789,962,063,800,328,468,509,598,637,
354,073,366,283,818,171,938,155,945,612,077,741,344,496,450,361,917,711,669,
553,430,147,110,444,472,076,389,927,081,904,087,347,572,715,446,769,247,932,
894,193,868,037,795,256,023,594,237,384,961,308,332,738,323,850,467,002,275,
872,717,760,955,536,756,754,458,548,516,376,909,272,439,032,777,408,845,952,
072,988,059,676,908,398,852,824,398,877,517,903,433,603,350,232,558,048,659,
955,015,837,174,730,704,131,558,199,429,523,892,223,865,722,987,728,473,742,
772,601,771,724,758,405,630,735,668,237,428,320,798,827,317,948,652,204,573,
134,452,616,015,311,916,328,743,269,384,643,562,122,660,490,018,733,229,557,
782,844,628,044,651,749,685,240,988,300,900,284,236,298,762,541,483,208,845,
627,977,851,137,827,726,788,440,300,848,017,873,564,912,538,978,728,017,180,
056,784,912,175,173,853,012,048,150,127,212,561,318,837,968,129,541,653,289,
463,942,111,490,859,907,715,542,616,705,217,759,133,284,951,126,080,937,882,
724,235,302,306,986,393,720,667,937,127,339,315,687,852,711,341,005,237,461,
252,478,696,679,519,907,546,741,007,787,614,042,199,961,919,488,393,027,926,
300,306,088,254,157,818,326,091,574,841,070,310,604,758,598,020,510,540,616,
537,720,406,846,026,612,292,862,709,942,869,274,533,771,633,155,507,621,593,
905,479,126,462,369,566,693,007,676,500,091,430,981,104,269,149,821,876,063,
715,922,624,941,729,901,572,744,646,998,586,743,935,926,883,933,768,933,532,
241,457,607,272,290,342,622,687,679,490,403,444,016,216,396,957,886,720,752,
603,349,261,196,600,982,839,970,877,055,139,315,486,788,192,151,153,510,813,
715,720,500,833,859,578,389,932,234,071,895,721,240,964,190,249,958,900,786,
465,462,182,061,513,863,657,424,360,732,948,755,813,981,782,067,235,345,851,
992,188,465,721,584,183,435,540,583,239,535,337,166,285,618,481,261,444,196,
260,748,409,710,420,539,448,447,509,090,419,610,381,415,168,698,454,465,157,
284,566,321,062,290,646,496,066,490,983,163,594,577,153,781,443,712,053,851,
227,364,206,326,371,052,274,377,017,090,246,225,160,153,142,967,508,850,242,
729,985,553,196,976,007,917,826,558,968,760,616,787,092,021,564,925,200,336,
816,158,439,053,474,840,685,331,635,501,236,738,113,316,482,928,698,263,847,
055,618,033,049,209,875,445,603,080,226,819,674,573,869,977,409,660,855,814,
244,153,618,723,173,987,564,079,716,525,612,108,086,140,779,679,153,703,172,
153,901,785,335,301,540,985,497,915,242,034,825,191,652,187,030,595,806,613,
275,527,708,529,282,575,314,388,714,806,836,255,561,106,515,270,912,225,334,
367,742,798,832,257,955,238,757,698,852,696,171,009,442,480,414,032,841,743,
186,805,727,683,993,577,838,796,207,534,273,547,720,349,487,413,846,923,556,
182,535,510,578,588,314,935,127,825,658,871,958,258,255,293,248,053,632,199,
851,851,922,897,063,195,241,072,314,082,344,944,361,260,083,036,593,127,223,
812,829,373,433,984,810,162,860,100,890,112,066,081,092,456,124,792,360,307,
865,224,688,979,275,110,925,091,257,886,917,277,064,775,072,460,932,204,484,
402,065,173,449,451,431,125,216,018,186,284,247,777,709,935,969,558,499,563,
187,336,499,222,340,152,594,321,864,860,225,418,921,794,580,312,573,290,591,
677,470,063,349,323,230,077,922,358,222,913,356,402,603,913,622,728,044,586,
158,487,815,326,096,415,374,732,706,354,094,525,897,440,676,213,143,358,353,
393,336,365,024,783,379,866,483,436,131,248,828,033,433,105,750,948,677,961,
596,237,986,743,450,447,435,908,308,834,713,303,026,846,419,422,085,819,794,
661,627,861,726,753,725,899,576,178,812,404,998,601,001,053,596,746,983,021,
299,650,989,272,042,068,671,189,501,435,351,301,493,132,373,521,736,038,908,
275,765,071,132,785,296,719,465,387,567,936,942,264,746,034,421,421,957,121,
648,847,862,511,413,218,813,089,667,821,171,589,176,327,905,636,266,332,444,
849,448,796,519,276,900,955,627,739,656,783,493,505,337,620,201,079,395,005,
571,353,053,410,646,410,251,698,450,526,822,019,251,954,699,493,034,294,907,
138,834,267,339,965,367,622,477,143,837,673,232,809,263,052,140,747,995,413,
345,033,428,117,980,779,560,297,034,014,061,618,114,708,611,271,088,240,987,
421,363,536,144,166,238,437,478,605,044,982,537,731,932,594,024,237,109,847,
159,308,289,012,788,610,683,663,584,353,544,415,428,845,542,891,345,487,993,
611,381,344,849,872,523,430,159,201,912,492,400,094,305,634,073,336,748,786,
565,713,335,899,220,289,303,517,113,309,174,812,091,844,145,044,611,528,120,
163,224,841,284,300,594,239,256,505,700,497,650,142,038,991,260,713,650,083,
019,664,885,755,479,487,132,476,573,509,465,618,511,756,058,720,524,951,952,
739,772,259,067,761,958,333,590,679,144,077,739,155,343,843,210,073,050,052,
150,400,722,240,530,456,215,250,645,427,531,085,659,645,818,451,612,659,547,
022,548,549,143,383,031,780,753,405,624,732,781,600,049,541,776,581,813,946,
364,888,849,861,101,744,013,368,993,953,259,908,099,771,646,136,666,077,431,
125,038,238,804,377,838,927,855,605,359,049,285,261,658,289,561,943,976,584,
922,167,194,108,338,008,684,204,600,137,915,623,418,608,527,170,017,279,809,
632,927,197,087,842,669,395,030,365,213,606,790,656,113,725,856,566,185,752,
790,695,697,619,073,159,562,258,986,694,655,986,655,092,482,043,157,845,351,
486,813,370,085,977,280,739,451,747,183,213,961,513,012,631,737,570,307,991,
555,716,498,018,442,264,613,779,463,362,284,976,492,435,379,397,694,864,434,
320,558,459,535,802,108,409,365,411,671,174,743,878,278,700,882,639,584,748,
823,630,075,209,567,529,113,783,509,087,888,664,023,687,825,305,474,525,997,
056,598,425,556,575,787,847,529,769,707,333,117,929,469,570,538,995,078,863,
932,880,769,751,381,511,894,314,280,605,223,580,246,127,557,774,817,193,475,
935,618,243,761,482,263,475,130,473,716,938,055,350,901,101,344,096,338,469,
895,217,118,022,382,576,468,534,464,358,450,463,415,940,580,723,997,806,053,
137,479,542,402,890,817,767,826,431,149,645,950,365,978,089,738,462,336,592,
764,788,700,070,831,615,806,147,495,282,872,890,158,632,877,396,961,187,754,
543,897,426,558,785,119,995,404,938,973,452,536,215,461,497,106,500,071,386,
543,310,155,303,436,858,913,235,579,785,301,664,440,904,536,077,108,086,009,
347,639,927,452,655,194,040,806,551,041,526,848,362,937,118,456,334,014,939,
870,043,227,342,733,503,874,393,666,819,307,925,506,699,676,355,764,234,947,
579,469,268,091,831,565,044,260,640,764,298,835,944,763,432,630,265,091,438,
146,139,257,752,685,430,453,031,028,087,380,290,377,175,498,153,574,405,229,
396,796,896,698,427,938,352,342,562,405,033,419,295,664,826,833,428,624,641,
241,559,520,407,902,979,752,164,158,409,661,277,870,083,801,350,180,847,660,
029,114,948,720,855,974,308,793,917,521,524,259,996,068,884,668,444,563,013,
359,023,960,054,727,998,047,128,483,882,266,088,322,281,645,226,554,449,945,
094,426,136,188,942,997,850,882,036,156,764,732,011,071,553,171,273,038,276,
327,336,400,802,884,747,197,907,931,926,849,378,219,007,008,456,807,232,333,
157,935,492,596,892,107,900,712,375,544,169,783,466,251,846,646,921,458,859,
476,718,793,808,984,282,809,431,664,228,731,007,347,957,007,478,960,120,807,
121,698,082,357,632,600,400,342,875,655,936,236,325,281,943,792,786,505,759,
348,745,043,161,290,962,373,938,672,842,355,249,304,152,284,674,759,901,921,
241,309,972,373,960,082,656,043,590,149,347,732,123,292,157,346,309,477,430,
916,388,739,104,597,103,405,685,802,110,328,804,167,638,973,687,642,134,482,
493,015,861,087,959,519,934,856,609,433,726,660,883,222,510,894,367,049,866,
621,871,962,657,337,041,681,585,229,564,288,336,550,075,827,767,730,012,160,
530,002,117,522,567,091,846,493,744,382,760,422,151,236,677,785,158,313,350,
711,849,084,655,223,064,998,270,650,770,107,955,025,931,574,444,611,855,524,
017,693,835,351,066,644,060,005,920,149,867,424,734,594,471,233,833,228,938,
846,837,399,804,383,204,529,616,145,365,718,472,844,041,861,667,470,347,273,
181,849,325,783,057,065,197,703,264,083,372,152,169,737,054,496,183,435,904,
871,064,082,978,635,173,773,040,273,808,805,688,769,390,721,278,544,721,485,
649,559,512,717,185,075,157,800,970,704,103,136,228,063,406,750,633,846,611,
383,086,876,586,576,198,892,495,742,321,834,373,436,656,246,035,612,281,986,
554,514,432,606,353,001,853,968,506,613,895,214,696,750,371,663,033,294,501,
437,328,038,404,933,364,636,194,887,752,535,901,340,552,690,417,998,508,644,
617,140,164,190,398,550,658,921,901,184,645,364,851,614,068,589,276,002,080,
159,510,372,019,907,270,473,582,166,348,306,588,237,518,788,779,649,337,417,
824,645,011,706,387,660,604,287,958,714,294,714,172,973,492,557,032,101,622,
548,705,022,402,844,540,942,227,895,950,045,931,268,944,318,083,920,980,034,
089,047,513,180,449,555,113,242,169,775,709,632,380,128,939,753,943,360,586,
500,356,670,976,076,152,669,259,518,752,620,676,017,440,734,830,239,097,743,
211,207,650,245,901,263,641,005,783,862,105,542,879,129,433,347,684,777,138,
005,804,509,769,854,354,823,627,164,951,156,496,135,283,834,219,054,124,328,
447,164,495,626,938,679,746,555,575,805,830,029,432,960,004,578,129,380,341,
797,234,398,492,033,609,996,206,798,989,867,294,993,351,782,806,189,047,983,
628,607,466,124,187,821,451,358,314,815,339,773,946,595,847,032,884,268,571,
228,553,262,016,683,028,974,948,826,012,784,792,252,210,312,659,714,541,372,
645,342,694,726,623,994,130,840,375,572,381,611,174,421,284,257,013,321,198,
901,377,201,229,939,783,318,009,974,500,649,229,657,796,475,816,686,793,444,
978,602,018,246,714,453,408,352,228,033,354,123,948,175,682,008,881,588,694,
900,380,875,072,115,088,013,780,273,872,015,157,425,944,938,125,472,041,004,
683,194,119,408,031,601,558,037,355,117,529,070,834,402,065,021,909,395,044,
856,837,012,453,948,278,484,483,162,583,944,304,937,171,859,376,700,312,201,
626,005,414,883,700,411,742,764,925,645,998,000,338,740,569,246,255,365,136,
716,030,806,657,241,037,128,561,288,520,055,064,880,511,767,340,156,183,773,
809,338,106,249,086,385,861,344,652,214,314,945,079,818,131,681,710,212,069,
824,437,852,097,506,217,558,558,459,707,871,606,358,388,101,664,142,412,765,
194,151,863,521,082,694,466,434,640,817,108,935,620,129,077,680,773,689,922,
174,635,112,823,998,293,849,471,604,601,888,533,439,218,550,314,376,788,627,
167,198,422,982,235,100,946,856,445,840,535,813,134,834,403,951,723,630,075,
699,723,334,457,266,667,460,863,716,156,482,110,046,229,683,121,290,824,958,
562,744,633,041,817,565,954,771,622,570,311,097,076,995,180,411,400,902,140,
995,827,545,582,969,466,041,084,748,589,193,265,015,720,891,407,447,592,541,
300,395,496,581,040,095,970,524,517,640,125,948,338,429,843,384,675,709,927,
616,824,479,959,198,847,290,880,818,855,785,332,051,643,187,018,407,408,716,
834,831,219,923,596,366,125,699,009,187,635,431,278,627,958,087,861,838,904,
468,850,600,767,483,534,548,805,596,576,579,082,642,804,706,905,207,874,551,
312,708,602,332,129,459,659,943,446,181,674,110,260,708,969,105,450,107,354,
161,324,912,528,646,908,706,356,590,086,570,012,802,157,508,841,613,925,587,
824,924,584,327,437,205,425,446,774,541,458,697,174,116,428,413,568,414,015,
718,804,911,790,647,525,966,272,024,979,026,901,902,493,780,377,330,040,496,
254,697,860,731,283,800,616,351,990,653,054,976,373,352,798,642,259,174,465,
491,975,067,462,200,372,965,470,542,555,263,072,910,674,562,987,607,614,281,
189,407,636,473,927,954,832,437,454,138,709,964,061,092,549,232,046,271,844,
045,793,248,851,279,338,555,497,171,867,834,356,990,957,940,447,186,040,136,
387,132,053,022,259,728,209,127,603,140,829,016,326,950,460,861,521,577,744,
020,423,370,682,559,044,099,636,099,594,984,991,689,218,466,696,102,926,268,
383,052,324,855,306,926,891,076,372,392,929,200,433,138,423,408,267,530,498,
866,004,300,031,195,042,419,830,160,512,570,475,977,314,884,684,512,133,753,
033,940,417,668,029,411,145,378,595,130,517,589,008,328,496,681,824,228,175,
099,567,438,492,396,547,980,368,663,650,692,392,998,236,737,726,632,475,485,
206,119,162,466,707,832,419,439,902,239,032,109,658,814,656,966,678,589,089,
856,153,535,846,977,500,474,030,068,188,520,134,605,827,840,817,273,777,269,
301,295,816,609,003,884,547,167,338,891,261,805,952,338,417,633,978,196,847,
682,829,632,957,142,605,301,136,529,539,040,899,609,106,108,663,547,026,788,
784,072,253,285,792,050,945,087,288,928,780,294,738,191,265,473,849,625,466,
866,082,013,238,930,407,110,471,420,807,184,645,406,684,481,765,930,289,627,
924,875,472,184,477,489,955,831,017,946,838,399,169,080,633,295,024,253,402,
343,131,249,933,899,210,825,322,734,174,114,639,148,716,557,434,809,070,659,
734,582,560,805,367,540,582,208,019,955,291,803,306,375,948,590,040,484,936,
092,755,263,385,846,430,369,499,405,046,155,228,608,918,086,476,342,682,760,
710,690,308,785,483,990,647,849,603,002,461,640,552,794,954,069,178,724,774,
090,590,324,535,978,624,740,885,923,863,716,505,709,292,551,755,621,217,510,
090,987,570,540,544,130,169,190,829,752,259,912,767,333,903,858,021,852,669,
065,754,583,612,336,556,167,725,134,318,844,272,543,208,414,831,008,911,529,
421,880,740,014,961,792,814,654,136,095,827,181,229,203,841,669,887,022,909,
152,837,224,775,454,052,717,963,108,242,988,560,471,912,337,364,239,999,891,
638,280,511,184,812,515,125,987,252,576,150,856,351,861,534,420,185,175,720,
886,228,819,991,592,535,115,059,716,275,359,896,841,834,323,244,592,036,411,
747,360,673,600,314,501,744,186,362,447,215,863,989,598,265,145,854,335,776,
510,518,779,836,028,058,642,411,389,343,944,688,924,037,778,880,155,789,667,
781,955,664,572,020,772,174,129,354,644,830,651,978,296,568,564,006,738,411,
761,380,395,362,378,074,944,849,878,406,510,138,654,397,085,584,301,284,190,
841,826,193,516,073,583,688,101,503,066,535,451,008,558,769,201,956,667,257,
532,871,256,431,511,821,723,983,846,964,878,250,089,567,867,651,033,033,945,
596,277,670,601,715,654,414,708,934,382,037,849,460,799,187,742,921,670,779,
359,313,180,201,938,426,913,884,597,139,065,556,339,006,483,547,450,390,728,
278,272,657,407,790,852,308,081,461,322,311,682,247,935,517,570,041,869,962,
121,704,155,987,755,591,700,811,963,933,536,586,495,244,556,413,150,951,956,
246,210,412,867,740,581,055,853,615,362,844,726,830,947,990,627,363,059,847,
657,477,857,118,164,252,009,310,641,227,258,438,083,832,937,387,087,573,320,
131,930,142,972,879,981,224,679,017,487,367,875,149,042,111,824,840,526,936,
330,569,661,622,150,526,172,447,036,527,919,768,025,049,415,340,324,220,703,
073,246,656,425,143,309,156,275,515,610,847,992,771,176,666,861,846,065,786,
511,615,473,352,079,522,455,184,621,965,976,370,840,831,180,737,448,863,625,
797,543,451,807,580,644,960,041,091,444,360,940,661,626,621,443,145,573,452,
000,061,402,775,190,445,680,498,530,476,819,512,345,161,700,165,441,228,431,
727,628,856,384,870,019,817,313,944,553,227,404,959,205,724,610,140,948,107,
769,319,236,369,789,720,311,562,217,920,278,191,764,813,144,868,006,851,429,
815,000,803,550,243,022,991,074,330,790,736,342,999,473,275,556,198,963,476,
705,932,477,902,597,754,508,608,017,667,617,717,791,859,440,266,554,716,317,
531,106,102,677,507,910,922,528,742,396,635,349,462,562,215,034,742,791,778,
518,461,639,297,518,143,837,915,167,176,476,625,830,724,985,301,021,341,773,
377,045,364,294,861,584,482,303,383,766,350,050,943,953,309,744,702,313,974,
087,334,654,980,547,502,148,181,032,652,846,414,621,923,928,302,211,880,369,
516,804,669,669,918,693,219,870,010,007,778,102,379,095,578,445,530,534,381,
941,103,291,509,009,522,195,562,774,466,070,846,139,884,175,227,889,913,374,
677,942,890,031,276,499,229,577,155,570,109,057,222,427,033,307,638,439,511,
079,849,863,026,837,287,932,902,244,378,933,711,415,612,568,987,280,109,584,
858,709,088,176,755,857,184,675,885,025,747,087,318,053,864,370,081,711,182,
876,161,893,647,555,200,742,452,879,801,498,396,759,868,797,056,147,541,458,
646,960,111,588,752,331,172,778,852,749,193,765,292,956,593,589,589,989,374,
353,550,843,619,956,910,276,759,404,558,055,685,825,507,810,807,638,517,451,
688,149,030,306,060,948,983,330,881,138,535,308,376,367,940,069,349,962,269,
226,958,744,686,368,465,708,662,733,230,939,715,031,492,677,345,871,925,292,
008,039,007,146,932,031,424,192,521,867,736,120,287,059,654,813,681,052,695,
262,726,691,695,648,068,154,227,228,288,229,346,419,176,879,448,213,843,312,
647,688,525,090,854,606,326,785,232,099,230,514,796,785,456,365,142,035,058,
257,232,401,852,757,397,726,497,271,313,406,530,803,148,378,810,253,436,410,
561,322,084,272,113,026,831,898,569,995,251,887,898,279,488,580,446,741,818,
539,986,049,452,593,267,170,677,829,721,803,737,105,629,189,872,505,213,903,
330,849,142,352,467,342,000,413,103,939,429,584,654,639,378,856,872,309,572,
102,875,549,350,782,780,974,498,676,449,646,397,157,903,937,294,833,402,576,
877,474,401,907,195,466,788,646,843,345,998,361,035,506,676,717,449,655,009,
060,108,978,864,468,186,080,495,236,729,949,292,237,904,691,049,111,698,814,
842,063,450,490,027,945,171,384,711,963,139,320,837,791,129,711,140,372,663,
223,709,259,173,967,934,834,439,049,371,432,250,658,064,149,508,860,389,824,
754,543,188,286,760,822,766,846,338,203,583,459,550,240,587,643,999,231,739,
810,976,753,516,740,192,163,719,876,474,577,482,530,818,704,462,643,992,266,
480,746,009,681,872,992,663,970,690,846,553,994,269,038,325,483,627,527,219,
864,541,469,946,190,063,334,689,425,259,430,579,423,530,341,631,290,011,353,
594,806,915,978,975,846,644,681,967,802,965,153,761,166,303,616,293,729,083,
138,689,891,341,389,678,585,782,626,860,336,384,203,998,659,553,870,042,616,
506,406,740,926,544,786,118,281,452,056,211,133,813,427,699,912,516,253,080,
946,181,875,044,510,755,362,801,711,443,768,443,337,099,236,282,873,475,516,
974,768,142,040,805,089,195,885,224,200,404,320,158,171,941,411,441,803,464,
811,071,810,644,396,446,546,536,812,665,719,877,969,691,440,397,288,826,029,
481,273,703,578,323,029,470,449,246,702,243,182,227,444,202,390,897,431,382,
660,500,169,740,940,945,251,388,323,081,510,650,686,496,955,816,211,524,482,
578,019,325,346,793,763,609,299,342,046,529,278,258,889,933,744,690,462,142,
202,290,462,766,888,075,169,691,520,063,259,257,777,990,536,718,213,079,454,
803,895,608,966,388,798,980,490,128,116,602,918,372,889,270,797,492,030,847,
287,943,035,846,645,997,828,353,387,137,730,149,267,728,660,950,946,177,424,
875,254,031,441,474,845,050,398,448,883,336,595,764,750,108,053,415,393,936,
811,826,570,964,610,562,945,975,266,519,378,344,984,414,615,791,724,351,170,
977,574,704,161,048,478,988,304,973,569,688,885,207,767,901,987,086,433,047,
862,900,104,152,329,569,093,797,443,633,719,628,263,194,828,832,170,478,194,
266,362,325,244,762,315,657,525,303,318,274,356,637,979,790,464,347,860,054,
343,031,574,939,742,970,429,246,576,045,144,222,917,173,410,215,145,548,175,
298,804,597,007,669,884,385,055,268,574,071,049,068,127,904,151,326,225,024,
475,612,252,702,348,670,115,191,351,609,005,846,388,355,660,594,825,444,986,
409,504,655,632,581,955,376,634,601,337,474,680,569,210,339,094,809,525,805,
502,223,114,346,175,203,475,844,567,168,632,830,123,904,324,123,364,059,867,
210,374,356,986,726,739,820,105,877,395,889,723,598,549,902,411,633,943,141,
574,164,044,917,447,316,471,823,635,510,875,949,209,150,499,829,622,384,118,
713,215,806,204,843,627,003,437,586,132,059,015,020,680,697,419,398,205,460,
973,443,226,795,010,704,634,986,240,370,413,964,817,853,607,263,963,853,051,
866,001,615,410,865,505,832,179,769,197,807,127,825,338,282,269,673,951,651,
287,845,552,009,454,023,548,642,565,096,556,511,941,121,845,922,680,585,367,
461,207,605,292,047,481,096,424,324,830,974,900,376,869,274,664,993,880,798,
381,701,276,299,698,316,900,601,376,218,989,197,852,211,914,768,109,861,105,
550,075,187,250,838,359,250,882,231,089,049,519,721,650,938,811,349,246,728,
722,254,795,640,982,691,918,176,698,688,529,248,786,322,697,601,649,560,330,
841,087,860,512,617,759,288,104,293,245,774,187,581,373,972,706,899,792,519,
159,035,630,620,893,996,363,217,115,992,763,275,217,269,558,922,261,413,115,
846,609,700,982,068,242,789,244,823,541,018,709,559,742,928,079,871,358,345,
955,628,499,410,708,314,035,816,197,851,053,412,835,650,472,617,073,550,734,
297,606,998,861,238,192,696,627,800,071,992,463,611,932,265,904,979,127,371,
625,629,686,277,720,090,675,774,475,956,921,986,363,950,559,073,997,992,969,
080,566,088,327,045,982,244,578,648,409,205,111,888,391,609,182,299,551,776,
189,803,734,738,191,905,442,479,725,622,529,061,734,795,303,044,237,934,511,
644,422,983,591,513,013,862,865,689,616,530,924,290,664,361,820,257,322,411,
820,177,294,152,760,190,647,956,751,963,695,556,223,515,114,510,943,170,525,
338,970,928,650,586,615,731,952,721,849,105,221,531,529,883,678,802,441,683,
799,279,641,272,071,964,387,503,839,579,690,768,332,992,871,502,404,620,702,
616,823,473,993,346,495,361,227,636,764,829,101,420,853,083,018,698,070,540,
233,729,737,167,039,358,413,550,653,502,310,536,282,373,649,096,843,389,354,
023,644,684,260,611,476,696,319,205,400,679,681,454,803,356,304,004,768,376,
121,417,717,624,202,600,865,580,740,713,318,898,969,028,811,855,223,875,644,
189,119,812,705,673,122,341,138,000,369,046,863,709,418,267,525,642,757,609,
269,458,276,479,162,950,119,196,422,272,444,696,416,469,554,885,353,392,835,
569,191,434,736,109,135,624,032,000,105,379,083,096,533,891,231,167,503,561,
748,359,294,251,415,963,163,591,865,661,810,709,437,889,043,489,086,877,341,
008,276,349,357,604,979,501,671,832,912,644,941,238,453,928,919,298,964,316,
673,505,552,735,880,876,705,855,204,844,454,217,979,810,103,527,051,355,248,
389,182,252,635,185,375,948,755,754,121,268,010,033,504,867,984,132,345,836,
145,939,645,201,282,529,622,655,622,651,535,716,768,413,756,649,245,674,750,
399,392,182,230,842,951,372,760,907,134,273,573,780,435,484,117,669,342,133,
543,364,858,510,329,228,307,506,550,864,060,587,868,277,611,150,203,389,614,
272,517,195,803,579,022,940,450,970,891,016,856,823,220,700,759,379,467,153,
081,843,627,368,911,052,626,979,205,067,039,237,352,772,099,007,051,126,992,
522,535,503,261,434,541,268,715,830,767,124,334,272,401,413,664,610,771,910,
495,694,121,829,138,050,945,453,274,651,625,679,086,290,664,578,395,201,883,
449,066,219,667,994,538,413,948,836,207,447,979,754,244,389,737,443,638,786,
336,628,227,707,588,368,814,436,097,598,129,935,517,502,194,776,911,543,794,
264,183,354,492,004,479,029,624,378,982,194,449,020,727,111,013,179,857,816,
475,772,444,470,818,397,283,818,909,623,631,901,352,314,866,020,027,689,711,
435,659,186,355,225,909,459,885,401,663,721,199,486,159,927,820,832,718,518,
897,372,056,331,712,289,801,959,913,596,862,094,427,589,450,238,592,494,668,
001,135,761,099,470,956,350,338,000,301,939,968,466,286,533,857,803,762,333,
904,647,009,643,248,323,290,886,714,407,998,263,294,973,658,479,305,673,899,
565,400,959,907,351,176,005,255,511,523,571,105,765,900,112,050,104,081,546,
472,298,878,667,985,451,473,299,327,322,653,311,955,673,236,797,721,129,056,
020,800,680,235,750,415,025,295,628,947,009,219,563,860,436,530,474,082,474,
632,301,143,612,936,191,162,250,644,941,169,354,454,836,652,640,241,976,085,
484,057,264,672,941,515,228,604,321,730,406,416,029,309,318,009,286,444,859,
983,014,606,483,944,361,897,507,303,615,942,254,928,467,661,206,835,765,329,
337,814,861,079,917,006,430,199,523,742,009,365,873,866,441,936,366,704,574,
580,466,787,789,953,454,604,447,910,884,495,571,181,207,801,139,533,241,201,
175,858,496,675,421,129,235,131,913,296,565,060,484,180,583,034,072,830,369,
467,155,449,369,411,091,693,753,158,756,824,569,805,132,059,450,881,288,349,
388,258,883,526,559,152,607,435,134,205,416,710,786,170,473,873,226,045,731,
542,697,909,977,910,321,215,598,242,449,187,020,385,269,215,285,640,859,406,
597,453,120,023,178,110,678,291,030,933,594,679,840,961,282,593,997,922,593,
136,238,809,537,352,863,962,810,975,727,613,605,559,488,914,924,147,701,834,
604,863,944,696,897,078,147,352,688,839,529,110,088,957,051,704,456,139,484,
968,329,110,217,545,329,802,752,853,962,900,989,981,971,600,621,922,044,962,
460,516,614,487,566,140,621,977,872,764,361,814,077,198,180,759,247,469,661,
259,615,099,734,353,276,810,320,201,182,345,477,305,253,475,289,076,796,601,
595,346,023,227,732,656,414,066,798,129,806,346,056,864,961,523,051,250,611,
482,488,448,338,020,645,944,380,897,549,459,554,619,120,404,376,018,250,953,
922,171,653,510,247,524,250,548,523,414,624,692,773,925,828,109,225,567,252,
765,916,764,937,343,760,088,479,253,259,235,216,963,234,036,337,701,649,353,
037,641,241,546,053,300,609,763,597,407,742,477,230,600,773,994,296,892,646,
731,962,850,054,072,142,245,050,282,427,235,004,798,297,516,465,906,390,793,
132,790,743,502,530,669,922,480,051,318,604,644,939,075,634,371,910,963,736,
808,889,293,634,498,508,018,002,262,160,873,614,327,177,373,247,855,574,135,
017,714,473,412,547,202,829,815,760,855,267,581,664,862,999,396,523,368,065,
205,984,314,785,110,605,681,562,404,068,067,580,789,246,243,894,738,950,896,
650,090,785,759,051,021,833,341,374,390,338,364,933,119,446,268,203,602,763,
242,441,964,792,438,705,755,626,310,836,006,098,144,602,856,441,496,177,157,
696,523,540,539,151,932,676,802,798,640,221,953,651,796,329,280,930,995,171,
859,038,538,626,786,617,756,707,500,754,910,636,631,982,443,121,600,721,686,
881,397,991,397,343,006,010,037,669,182,512,485,040,522,674,966,687,158,720,
158,416,668,303,254,175,202,356,197,402,619,725,766,657,171,318,181,958,543,
865,926,701,348,618,452,392,503,189,170,032,766,821,599,173,481,158,559,941,
240,122,175,168,694,437,810,248,601,375,066,726,669,407,327,501,512,176,367,
653,852,288,083,611,018,584,674,424,604,309,476,681,722,904,042,217,627,972,
257,361,587,889,298,861,264,648,585,049,991,397,996,169,854,696,164,340,743,
032,205,861,125,567,423,288,060,955,083,633,069,691,305,538,989,655,080,915,
836,995,582,553,201,359,233,612,675,578,931,689,641,049,550,497,588,082,073,
680,148,856,091,704,674,424,173,955,454,002,356,021,025,540,997,513,641,170,
300,073,253,268,898,783,469,124,071,315,771,832,128,959,921,632,992,402,833,
997,545,318,536,541,487,418,296,769,197,452,226,461,242,869,050,172,641,596,
476,628,472,120,887,050,009,595,563,366,684,349,387,140,400,770,157,711,117,
517,609,380,449,436,729,032,741,981,746,389,012,281,703,569,856,984,162,273,
614,670,101,438,600,742,116,796,073,552,588,393,127,915,788,110,741,919,798,
968,941,275,842,119,382,345,443,472,880,468,889,489,226,925,147,606,143,821,
055,444,488,746,921,910,863,830,545,847,469,904,845,083,407,203,565,837,294,
483,180,746,408,285,562,415,859,061,756,425,744,087,406,445,596,015,934,035,
615,600,697,277,392,034,192,261,830,528,273,180,916,027,353,791,789,466,237,
899,574,127,374,816,291,941,492,881,800,282,623,012,772,407,450,488,241,609,
252,446,668,706,265,496,455,335,156,692,609,622,789,958,655,759,393,529,687,
586,330,697,170,306,435,044,024,921,098,801,922,925,193,526,155,767,997,437,
066,121,584,675,548,712,640,599,259,463,851,974,827,589,009,704,696,450,278,
885,557,828,128,400,150,125,091,190,769,147,307,058,872,355,767,646,934,278,
654,635,350,903,944,570,716,151,767,890,972,861,051,748,299,366,346,617,988,
168,656,863,200,498,792,105,219,451,578,384,930,656,594,370,088,162,294,327,
431,121,403,449,297,450,153,717,207,000,902,889,357,704,078,260,707,984,119,
850,851,840,399,211,570,051,587,009,211,981,133,874,648,313,533,307,611,296,
452,574,434,326,286,842,620,376,405,874,346,555,813,768,936,667,034,017,713,
089,254,781,686,033,276,170,692,692,787,564,389,291,433,608,057,534,580,994,
707,358,754,829,766,296,153,182,432,823,088,281,389,489,937,064,270,950,120,
925,170,631,112,744,596,784,587,009,708,976,389,449,162,002,857,455,092,955,
802,211,787,234,342,591,819,355,267,622,493,074,744,272,565,211,932,444,926,
740,846,266,604,488,608,452,470,009,502,837,181,544,612,199,061,665,714,772,
233,031,383,073,401,254,837,811,563,400,243,564,362,258,564,700,792,855,835,
817,260,894,230,897,803,377,085,366,648,378,448,688,111,905,245,353,467,192,
223,838,467,349,111,997,835,735,453,177,093,806,109,070,355,677,381,663,050,
167,667,517,252,510,512,583,822,707,043,129,012,708,327,989,465,591,437,091,
247,270,100,175,734,115,236,857,770,047,674,605,267,842,131,302,644,450,116,
326,785,543,306,741,543,825,674,830,300,063,400,065,359,847,870,639,560,215,
792,993,662,895,793,651,522,439,167,840,089,624,739,505,407,584,896,285,672,
091,904,129,349,538,601,866,209,381,696,618,418,448,455,713,698,147,255,512,
744,856,098,606,673,676,267,608,489,273,383,900,155,226,861,680,150,776,734,
281,366,486,738,859,009,188,569,223,386,751,509,506,188,844,229,042,233,491,
482,178,470,540,926,164,903,273,332,324,074,529,819,609,655,362,610,281,356,
480,138,124,910,446,422,255,707,143,790,058,010,091,434,636,399,171,121,260,
123,652,493,151,941,672,228,477,471,044,166,990,293,642,829,054,170,409,273,
795,978,191,987,575,710,065,134,831,284,632,367,274,165,742,286,313,562,435,
567,661,687,804,637,065,125,102,522,889,792,093,088,849,059,487,049,614,662,
570,015,503,548,105,387,044,855,959,454,652,558,213,577,988,273,993,923,839,
092,564,281,234,244,836,630,861,732,718,102,321,245,065,363,182,178,313,363,
403,783,385,480,383,376,135,690,052,393,321,818,138,144,799,580,539,199,235,
731,486,044,378,565,550,658,079,694,440,212,651,041,922,092,931,214,498,045,
074,769,879,944,073,076,081,825,511,722,665,466,428,514,378,772,894,873,841,
362,086,860,945,963,928,093,228,329,231,048,709,946,896,000,408,934,070,295,
380,672,463,572,272,344,675,726,116,619,146,033,685,688,044,707,824,162,480,
301,124,312,560,949,191,329,902,189,035,662,118,610,702,040,082,791,936,662,
740,644,763,511,529,758,645,786,644,062,478,897,775,711,355,463,396,759,953,
355,378,957,007,446,349,781,800,040,134,578,276,277,937,693,675,813,435,118,
236,054,517,838,765,921,645,925,222,388,483,081,862,007,434,767,737,336,151,
919,441,299,113,925,046,428,862,945,850,439,481,776,676,043,198,862,467,073,
751,025,216,813,419,441,767,489,308,067,065,361,216,844,907,308,927,488,454,
734,619,544,536,396,804,826,698,381,237,436,505,767,630,028,134,380,310,881,
200,709,780,640,075,737,746,418,460,736,695,572,121,834,713,495,209,588,652,
390,786,925,046,623,353,079,188,540,656,852,227,895,164,235,855,791,218,924,
018,436,277,785,744,748,209,560,762,947,810,211,733,085,698,306,613,195,989,
913,446,154,341,723,255,750,709,704,930,943,942,951,012,446,892,087,919,312,
939,839,971,310,554,259,793,865,130,602,767,768,996,177,238,411,811,166,332,
687,020,139,600,878,705,238,172,846,272,458,880,343,630,572,317,887,447,230,
335,054,850,781,665,013,776,436,977,636,856,411,254,060,682,445,335,319,303,
314,677,448,560,747,381,344,505,869,633,649,722,247,089,080,481,056,770,947,
565,734,225,343,806,088,429,386,655,934,108,446,029,436,824,375,344,794,003,
987,913,043,274,038,780,301,006,403,515,527,157,219,139,653,010,325,871,167,
706,265,757,564,302,997,959,130,268,500,161,449,621,618,437,845,881,329,983,
571,121,272,552,485,108,768,853,984,997,835,650,765,415,928,080,586,679,420,
122,282,922,445,623,338,372,045,453,768,604,055,788,298,813,452,243,412,661,
644,344,986,180,074,354,490,230,556,497,495,685,353,328,398,412,918,498,722,
192,569,339,432,007,752,713,839,618,780,284,780,836,829,225,319,912,607,754,
825,259,735,323,983,580,493,315,756,059,072,812,431,014,796,545,142,303,948,
920,853,818,684,438,607,237,982,787,633,383,149,687,185,072,568,853,329,046,
084,433,871,234,905,638,412,673,134,536,908,800,047,176,643,461,907,370,240,
542,533,749,915,759,308,572,823,428,907,289,277,071,124,751,579,912,190,556,
008,525,755,260,291,875,125,266,135,763,160,994,348,095,086,211,087,062,907,
895,778,179,585,587,975,297,806,934,878,408,346,010,020,718,468,260,988,023,
434,142,074,070,956,360,555,101,334,499,183,315,293,828,052,016,306,915,616,
134,595,809,886,876,420,828,356,560,956,681,257,133,827,751,926,663,155,107,
823,163,615,935,293,702,459,922,690,366,640,232,592,096,562,920,264,621,392,
667,662,936,104,195,076,406,222,520,381,249,238,618,884,257,397,960,151,960,
732,554,120,170,496,744,415,968,410,743,730,236,229,507,287,548,849,554,061,
467,901,466,258,988,148,218,842,526,674,447,678,011,395,854,100,838,939,745,
394,995,549,606,325,706,381,486,118,457,535,144,892,034,073,454,336,090,727,
067,577,984,356,896,554,332,849,331,161,544,036,987,442,199,895,494,953,374,
609,581,678,584,328,182,462,387,482,729,474,230,476,514,502,448,021,982,300,
783,990,472,942,368,412,377,472,289,575,613,898,081,456,607,582,769,981,571,
332,552,082,141,777,987,310,416,725,608,885,224,724,916,573,769,085,393,869,
921,956,921,805,994,791,495,761,557,643,595,281,824,815,419,849,333,678,329,
491,884,560,999,002,363,615,936,104,306,889,945,486,084,461,868,434,447,357,
517,508,740,138,109,737,755,583,671,510,834,978,195,865,749,312,699,290,715,
802,592,163,812,149,779,624,535,552,072,755,681,351,627,073,013,365,055,956,
125,373,598,554,252,074,675,434,577,912,719,541,679,365,035,181,433,807,497,
642,432,786,641,623,692,184,150,372,761,541,748,734,692,044,940,612,189,827,
025,843,015,778,110,081,487,022,856,698,770,647,468,842,370,640,126,083,963,
906,848,035,907,567,976,402,693,257,869,196,773,803,800,856,029,694,713,288,
374,649,637,286,767,548,091,102,901,964,778,798,041,713,034,566,662,065,415,
687,635,401,208,616,406,909,228,896,190,481,074,000,499,375,727,038,667,372,
251,727,086,482,878,125,111,836,494,873,454,823,871,331,899,385,026,974,540,
402,929,266,020,168,818,633,237,622,595,328,240,409,363,390,633,367,014,561,
651,238,563,552,103,965,809,542,989,856,091,010,721,653,317,531,009,633,630,
359,974,498,839,448,423,087,629,696,295,336,927,485,188,367,782,391,461,112,
675,779,244,206,873,143,121,092,460,575,968,239,954,861,239,866,663,996,182,
310,825,754,216,518,864,715,492,734,631,619,031,026,515,877,755,351,603,477,
610,116,962,943,074,670,539,065,045,860,185,308,941,328,326,485,001,857,368,
757,088,236,356,341,921,074,177,758,716,249,043,539,982,735,783,965,272,808,
820,262,428,311,775,991,287,752,769,555,826,118,459,732,995,501,332,530,079,
514,752,414,207,626,970,111,138,491,464,818,175,808,118,430,186,589,263,937,
446,870,188,201,599,815,750,858,978,140,303,008,492,989,661,422,447,568,368,
353,349,265,118,955,825,440,087,919,081,399,476,144,204,917,527,520,250,026,
973,181,088,275,664,845,711,813,243,741,903,779,764,793,007,531,555,372,999,
979,483,809,428,250,788,546,729,868,234,069,037,658,531,034,193,244,604,353,
754,905,388,060,002,581,600,629,906,453,804,533,317,622,031,238,405,311,788,
898,117,319,483,181,288,812,746,400,223,298,489,924,565,374,001,418,577,628,
830,172,167,456,555,597,127,615,273,680,687,720,966,150,380,612,498,233,990,
287,438,903,793,344,602,318,449,038,473,436,484,171,914,436,325,958,011,725,
717,758,560,707,701,087,639,857,700,434,496,716,158,413,332,635,649,841,365,
761,536,297,350,907,289,498,605,686,318,193,083,937,989,051,010,861,145,004,
453,214,862,363,481,427,526,872,989,889,180,336,797,778,112,080,871,547,145,
482,104,786,280,707,662,027,638,023,398,384,451,215,204,344,302,886,896,388,
984,887,450,204,001,982,544,268,625,018,891,128,472,821,163,357,900,553,208,
609,657,148,385,237,239,528,967,450,949,538,572,733,996,095,798,565,723,404,
117,879,660,665,389,466,110,139,123,337,883,085,624,198,706,575,032,430,514,
095,017,118,551,347,570,579,880,890,443,095,286,405,732,298,259,046,508,981,
534,977,254,504,347,722,705,157,675,318,067,086,046,359,442,580,794,682,440,
251,632,176,368,537,576,087,581,891,539,957,655,430,783,952,786,919,218,611,
361,418,619,209,824,413,940,701,439,942,477,355,446,567,873,451,502,474,067,
654,602,961,744,537,659,962,948,593,129,106,674,939,957,221,986,378,340,110,
563,921,436,852,138,712,690,629,546,507,224,238,782,207,559,419,541,885,130,
852,169,229,670,714,413,780,975,037,470,697,478,062,566,459,346,923,587,919,
571,239,288,878,187,464,692,500,700,087,924,564,772,429,258,443,715,979,758,
978,569,176,790,841,662,159,795,811,461,622,557,190,897,929,177,118,648,377,
255,592,494,352,606,217,093,770,732,724,807,763,944,023,264,830,111,330,150,
584,277,070,273,082,402,385,191,601,588,843,619,128,859,209,125,305,970,489,
707,492,404,728,419,499,741,881,328,439,333,373,411,779,036,437,108,777,488,
718,860,057,489,861,177,489,068,590,643,592,345,723,259,258,865,775,506,554,
829,246,047,323,812,078,807,853,989,337,631,875,451,697,901,645,575,902,925,
487,606,302,349,174,992,727,605,380,956,289,753,097,546,861,951,188,258,786,
335,938,686,896,813,282,913,376,450,294,371,316,556,853,387,268,555,642,562,
652,292,155,688,889,476,997,361,580,167,883,479,151,792,571,284,227,018,735,
427,563,019,400,071,213,429,836,878,880,161,276,201,512,891,703,119,172,909,
632,012,274,008,061,106,879,319,087,318,738,687,369,674,030,946,377,833,706,
692,613,500,088,366,084,476,354,396,208,752,516,545,036,016,849,175,818,869,
083,436,219,055,360,706,102,698,307,982,855,145,107,494,284,523,948,095,260,
337,427,944,889,429,515,053,559,876,536,106,333,955,179,678,908,407,679,352,
579,999,522,662,592,456,162,299,092,840,745,975,385,335,371,567,874,700,546,
454,448,036,373,741,749,326,486,990,759,114,496,953,115,302,672,934,872,187,
837,582,144,836,014,744,264,074,585,318,397,637,785,958,393,870,840,271,516,
910,313,879,780,100,738,851,243,119,511,829,882,247,750,017,267,503,607,447,
066,428,679,075,734,473,446,805,305,364,404,229,094,174,525,750,515,637,451,
307,710,199,191,380,267,581,001,134,762,004,710,308,075,804,892,709,953,993,
931,537,182,653,538,654,056,982,409,071,515,847,130,626,768,126,471,725,586,
848,076,385,083,782,071,603,863,244,579,852,039,891,049,872,122,973,887,928,
890,078,523,047,341,260,346,129,914,428,513,482,739,980,685,373,256,374,164,
544,633,225,291,335,488,834,903,371,804,948,838,566,074,308,323,734,276,630,
617,536,467,735,797,500,446,000,478,624,656,864,118,544,711,861,669,431,912,
515,257,987,069,238,131,512,681,758,756,464,555,733,015,870,327,568,708,917,
740,986,046,645,365,387,933,692,239,355,281,918,354,649,596,602,908,775,958,
846,493,369,604,544,045,026,374,066,957,166,952,000,542,506,928,835,316,813,
509,481,215,795,968,714,500,576,976,251,709,374,020,641,681,106,435,621,764,
281,468,925,987,881,350,772,974,308,226,654,767,536,148,737,175,327,406,487,
564,380,778,299,110,767,497,400,798,781,032,497,650,851,485,793,262,422,084,
099,975,887,939,097,196,338,900,636,581,732,519,621,199,705,770,531,624,578,
185,475,045,155,474,414,660,947,137,400,204,640,489,812,913,239,225,121,278,
617,541,038,098,408,559,461,272,358,387,916,209,579,844,409,384,703,167,497,
453,354,554,985,037,561,364,892,637,080,610,008,569,796,150,963,643,528,464,
416,953,130,507,909,295,620,315,380,832,927,845,293,768,695,123,417,769,909,
227,074,696,761,012,412,300,848,702,441,015,814,341,387,744,061,788,245,330,
786,271,019,126,191,743,020,890,223,682,872,888,425,217,511,114,203,114,591,
532,114,805,577,109,204,871,785,701,103,385,973,963,499,341,750,892,000,987,
821,767,337,899,921,034,141,524,140,020,017,997,422,282,835,507,832,536,753,
231,505,550,090,440,491,598,574,262,654,659,619,071,031,261,065,539,888,041,
725,762,749,555,518,957,026,690,250,938,293,081,576,393,093,308,627,880,406,
536,964,299,727,063,786,321,623,181,657,057,408,305,441,971,730,898,511,776,
640,766,104,152,350,533,690,170,084,696,305,270,879,899,686,985,801,370,729,
741,748,229,896,441,083,559,685,646,487,425,712,518,024,038,099,376,787,126,
894,893,488,549,912,453,436,325,401,478,122,003,768,624,888,892,723,576,393,
544,230,046,202,592,849,687,047,177,154,373,902,109,726,723,791,107,806,690,
053,768,489,026,663,451,611,789,298,266,136,839,037,347,808,470,065,136,211,
480,970,321,637,800,678,833,925,797,596,372,358,119,482,918,871,296,147,826,
728,464,660,715,527,748,383,311,572,258,005,609,709,332,725,959,124,306,440,
720,137,902,276,226,070,231,576,776,644,209,763,412,701,772,977,830,618,717,
154,713,785,175,487,813,827,987,441,880,904,901,706,014,913,281,971,669,581,
506,977,443,754,832,620,447,102,356,981,670,414,529,612,727,600,302,660,267,
671,160,070,981,857,550,600,366,536,669,447,143,939,578,726,424,289,815,017,
231,007,707,771,428,716,976,702,055,934,353,455,095,414,950,550,695,976,181,
126,145,868,865,032,585,503,237,013,861,085,467,510,795,196,635,223,910,600,
506,664,297,523,345,747,635,184,415,478,527,795,324,153,019,043,944,573,357,
441,011,791,533,384,871,711,749,926,424,464,658,533,320,412,992,043,323,581,
189,270,530,308,496,299,346,667,842,372,658,789,935,232,760,781,924,803,323,
692,466,835,085,064,933,985,489,675,398,560,127,732,842,401,604,147,494,104,
924,055,347,551,851,723,862,796,050,521,438,921,327,138,996,183,196,096,064,
819,909,134,438,291,518,135,671,562,368,252,473,923,857,062,201,536,253,289,
999,144,697,902,181,886,075,160,560,994,204,011,675,505,358,748,791,966,289,
362,943,738,740,794,204,667,353,069,748,966,933,484,120,630,447,473,435,862,
510,727,627,914,404,307,669,909,014,899,409,753,754,387,947,341,704,371,345,
166,949,901,538,087,423,749,838,772,771,824,620,804,249,359,377,770,611,598,
905,831,765,844,887,587,675,113,915,450,405,451,109,837,934,578,536,146,510,
669,432,379,044,345,170,668,980,913,345,297,394,723,369,889,428,041,739,005,
135,713,403,048,861,696,617,578,218,608,990,026,076,293,526,940,444,640,927,
562,498,494,676,268,745,971,093,553,769,259,070,462,280,938,213,878,478,344,
618,008,435,162,064,764,265,193,069,461,016,957,757,973,996,056,033,215,549,
288,838,188,974,711,127,013,843,297,385,465,760,006,951,785,304,353,654,744,
905,818,147,771,762,481,598,259,136,197,871,271,568,892,294,959,027,791,602,
717,562,797,939,737,698,810,465,564,867,558,612,970,877,403,585,089,114,415,
560,280,888,805,235,438,157,426,566,200,442,651,494,984,729,594,153,371,119,
620,159,073,235,475,616,744,671,933,598,844,723,096,140,424,233,381,713,919,
953,884,100,141,426,096,091,099,449,116,131,163,175,675,462,232,360,583,618,
519,133,810,303,053,620,343,860,676,152,451,231,875,578,584,578,160,696,909,
237,153,734,356,938,691,109,522,866,196,165,845,256,887,026,331,236,346,303,
073,091,561,308,813,312,003,848,853,117,279,115,951,545,426,122,255,061,280,
893,402,175,809,226,013,152,411,895,937,007,505,781,373,469,562,707,916,524,
179,427,708,616,400,353,519,788,745,420,669,650,667,829,220,632,057,567,675,
893,489,984,160,479,110,695,515,510,186,793,937,087,006,930,534,926,146,625,
608,645,882,125,671,629,897,946,129,524,627,092,017,279,565,593,112,987,590,
353,921,565,286,914,893,944,327,732,229,069,042,508,145,151,325,365,804,515,
298,297,980,822,015,260,899,244,164,903,615,132,647,965,168,378,793,782,128,
983,148,745,731,531,868,370,726,304,295,221,014,927,923,353,060,632,258,752,
966,825,652,553,180,616,548,521,041,916,378,345,663,428,192,947,995,225,421,
973,480,124,111,947,581,454,165,320,927,797,677,718,054,840,771,157,509,973,
054,300,194,716,463,176,499,985,354,547,570,869,785,942,509,087,538,559,171,
928,434,578,702,602,198,014,777,667,844,817,559,279,102,872,567,740,733,620,
834,587,681,647,945,301,463,170,488,405,231,001,976,990,437,904,073,388,263,
395,342,808,117,320,692,539,142,007,294,408,377,126,724,604,531,809,871,551,
377,765,778,543,495,540,086,601,174,603,221,237,616,194,514,412,534,514,706,
482,294,082,979,045,453,050,925,730,930,617,138,410,218,789,994,846,964,746,
078,443,398,883,072,112,846,631,907,577,653,152,542,437,189,801,728,844,033,
562,008,486,810,699,125,343,011,590,126,197,751,554,919,570,068,317,638,068,
648,599,898,179,968,291,225,877,408,616,086,858,917,630,390,489,694,563,582,
697,250,093,930,619,292,764,095,340,861,321,273,782,623,118,358,221,761,035,
119,746,116,413,438,002,454,257,248,611,477,692,487,755,158,290,162,811,310,
730,478,815,268,779,988,818,684,740,015,810,989,807,387,037,963,620,672,999,
270,577,263,697,876,147,522,614,455,864,187,258,910,680,035,622,491,569,182,
102,921,496,992,965,274,607,616,262,108,925,479,637,084,808,715,074,523,685,
964,433,367,851,079,875,872,055,584,181,240,721,861,821,846,323,217,029,252,
890,678,014,893,734,709,307,024,394,113,536,098,346,535,915,258,727,042,758,
340,331,156,647,004,601,723,340,748,381,461,881,647,347,773,055,156,070,090,
980,108,294,502,509,648,922,133,907,591,221,647,191,223,727,411,109,361,373,
911,244,148,062,705,824,334,154,029,871,764,598,453,079,739,732,562,186,818,
398,022,355,141,358,777,362,372,658,452,922,580,521,341,764,155,159,282,301,
544,574,568,163,294,228,502,253,723,507,937,980,129,129,806,568,132,751,098,
270,230,757,729,915,039,437,509,817,937,813,548,298,090,152,174,836,613,861,
609,285,947,859,203,380,910,105,190,158,569,300,886,202,772,696,298,641,131,
070,585,840,200,973,623,671,982,833,990,553,360,047,861,893,266,353,915,732,
127,735,960,866,112,819,804,689,764,321,968,775,208,819,708,719,583,691,724,
170,273,681,030,801,737,339,510,795,009,246,821,044,611,434,089,556,273,520,
038,665,358,719,582,817,065,325,760,019,381,672,852,320,590,764,932,134,126,
098,200,458,170,511,707,551,606,704,233,268,424,990,127,793,225,967,542,077,
330,327,978,688,833,679,916,038,367,963,518,348,113,936,526,340,973,402,271,
058,818,456,601,317,594,282,472,882,684,028,876,185,318,419,054,908,206,227,
945,816,247,590,775,542,311,517,275,802,315,555,987,625,742,897,579,761,992,
530,265,578,059,523,247,854,338,994,753,667,764,807,011,206,816,539,549,450,
096,059,976,497,646,467,925,167,468,749,865,161,774,718,866,842,430,450,061,
661,259,992,313,064,827,675,874,205,025,960,635,202,212,755,969,557,288,004,
215,164,947,098,253,837,146,117,145,468,827,495,951,467,843,138,915,180,182,
967,891,989,997,240,504,279,568,675,907,945,738,549,412,849,979,381,730,701,
755,599,573,684,183,313,947,616,258,427,649,371,916,608,611,782,334,526,122,
401,108,481,601,327,102,601,586,410,981,945,194,840,648,952,808,133,190,794,
377,686,165,786,359,846,703,695,408,914,864,835,716,741,714,172,883,529,838,
825,606,097,429,879,331,119,034,282,311,932,026,362,877,417,011,065,332,392,
121,665,907,788,417,453,209,911,466,598,793,873,855,850,430,256,360,130,103,
383,376,514,390,418,433,869,435,506,857,683,927,441,411,026,481,447,554,339,
647,837,366,751,227,480,787,098,088,707,382,968,003,415,504,195,458,603,080,
634,087,703,816,885,588,385,022,276,163,067,014,239,436,907,150,886,626,778,
194,971,574,684,327,131,410,254,024,014,600,746,061,080,784,119,729,642,470,
541,329,740,846,770,255,980,678,667,303,733,455,958,791,583,940,502,690,428,
513,013,060,208,487,253,618,263,931,894,665,994,540,010,062,690,590,996,609,
237,444,665,282,296,592,704,489,909,240,338,310,606,220,052,104,160,433,991,
417,361,145,798,436,296,056,577,677,747,467,759,577,128,373,936,610,525,342,
788,430,643,777,863,905,866,916,401,207,532,722,685,294,179,605,145,452,511,
021,372,201,420,167,895,606,216,242,766,212,769,828,933,970,565,637,930,570,
112,474,292,703,414,032,790,809,601,410,111,749,689,635,300,190,116,451,233,
151,088,414,728,666,369,919,795,393,605,993,535,114,272,973,294,254,731,169,
522,106,044,095,571,632,343,300,776,041,762,949,871,325,222,335,794,490,047,
038,001,281,159,806,977,071,026,689,225,161,678,361,362,328,270,567,303,377,
425,418,211,934,401,972,357,319,447,718,477,545,912,963,990,202,578,919,480,
441,415,791,377,732,601,761,504,144,674,338,015,217,210,135,708,398,948,920,
940,187,333,313,932,906,683,118,773,662,226,097,148,811,942,387,698,015,518,
311,349,149,665,696,956,132,570,487,668,681,556,385,675,840,472,953,986,670,
595,421,811,887,752,635,224,541,721,342,476,372,736,506,205,755,020,388,182,
101,400,430,162,471,935,201,505,531,675,574,913,315,191,324,200,773,835,529,
953,115,145,975,826,280,754,942,117,620,048,776,324,868,922,678,336,431,667,
924,182,735,194,941,939,075,775,857,216,735,777,632,403,857,662,680,571,779,
135,263,316,415,730,891,133,757,916,001,662,828,908,749,453,671,289,242,692,
693,379,636,473,349,384,455,493,280,988,808,302,079,662,815,472,464,826,920,
655,876,307,634,360,133,645,599,015,580,190,716,587,328,616,299,563,301,355,
332,986,315,008,582,515,305,136,183,418,728,243,933,061,466,093,328,250,270,
639,733,325,160,143,437,203,316,550,920,622,125,353,019,904,168,191,184,608,
672,961,305,699,952,067,125,356,851,767,048,541,435,492,021,940,197,627,891,
872,063,657,323,269,214,798,417,102,489,472,236,867,395,842,199,722,050,788,
858,429,833,701,661,014,766,695,975,320,766,560,160,477,805,556,173,369,955,
545,941,201,247,585,099,695,489,897,552,415,462,525,652,354,709,898,125,008,
141,586,055,192,771,845,162,436,827,253,291,549,740,724,510,992,053,150,001,
689,562,534,414,003,102,730,248,833,265,226,291,980,263,450,739,476,088,304,
669,781,475,190,116,615,648,036,487,145,495,839,987,481,924,516,284,786,053,
427,257,926,957,763,808,001,383,243,567,621,232,520,213,645,992,355,305,071,
492,951,350,721,768,688,470,949,770,156,690,198,649,203,750,395,413,942,470,
858,103,980,129,383,324,122,843,932,317,379,184,139,675,068,734,276,719,480,
041,348,992,786,034,959,651,605,881,302,078,460,116,556,993,762,018,230,935,
530,551,343,803,773,312,562,171,742,592,317,918,058,731,976,889,649,410,540,
051,383,474,681,562,768,780,626,130,488,152,561,866,063,969,993,214,665,439,
052,125,682,291,347,866,273,080,469,637,130,569,825,619,570,646,639,271,677,
502,195,234,811,264,533,926,086,471,497,051,736,891,382,238,458,784,702,958,
371,602,640,832,380,686,489,325,850,025,762,056,365,446,849,502,267,527,148,
483,636,511,863,540,997,365,225,103,554,723,053,839,627,818,148,412,454,784,
432,829,236,893,187,382,060,845,444,517,603,512,085,741,733,190,653,297,751,
150,601,386,629,809,461,608,576,220,191,742,160,219,687,819,439,127,610,557,
321,306,696,811,090,634,046,958,434,026,335,242,620,329,355,377,271,111,138,
411,730,358,461,514,701,923,554,948,637,433,686,768,789,341,541,267,306,433,
422,056,246,889,511,755,082,485,440,267,616,168,727,738,650,427,939,471,424,
211,492,810,584,358,628,413,513,590,760,140,665,836,636,678,830,938,155,527,
005,529,288,971,030,826,272,209,703,217,386,692,998,831,568,218,740,459,583,
856,445,656,739,268,852,158,385,020,906,912,429,342,509,538,680,253,611,331,
002,497,806,058,308,688,396,232,343,267,600,384,586,251,262,589,549,267,377,
896,669,877,349,603,542,838,014,922,208,150,045,321,157,192,001,966,118,393,
511,389,814,816,444,566,341,272,182,834,622,909,704,814,511,279,122,232,047,
172,194,952,819,339,644,453,240,985,029,656,186,205,439,920,936,896,726,071,
566,400,784,577,598,998,911,334,114,714,868,698,836,659,635,834,960,493,902,
570,865,234,732,223,186,855,207,732,269,665,825,630,432,712,074,580,886,472,
293,251,681,983,206,084,057,436,864,394,157,484,975,407,305,369,033,551,377,
925,012,400,289,458,018,926,415,226,778,872,314,980,603,572,127,242,508,549,
618,579,791,411,979,366,960,040,280,471,106,513,575,964,916,590,585,138,224,
572,760,220,234,115,658,191,301,745,812,378,509,918,052,577,077,215,623,106,
862,452,162,083,964,937,696,922,227,205,249,850,997,934,423,576,823,603,798,
314,853,975,100,754,618,858,968,646,464,422,118,607,281,137,325,526,412,901,
174,078,883,209,453,841,245,056,540,274,662,465,606,430,076,879,786,071,881,
296,970,917,529,448,197,624,605,915,905,677,034,130,104,581,167,387,974,317,
131,769,488,283,839,614,961,165,676,629,247,906,548,281,153,284,292,761,212,
249,017,304,010,347,150,336,562,190,756,478,844,795,975,616,236,243,428,363,
503,756,572,551,925,294,265,515,629,459,945,371,115,177,708,974,587,658,378,
223,786,685,206,111,200,667,205,759,745,805,951,235,993,144,794,205,421,020,
741,995,166,178,249,217,427,198,126,752,457,787,159,078,804,991,221,409,022,
840,599,298,695,428,687,786,495,200,947,216,225,055,739,375,603,954,037,610,
299,266,298,808,727,604,067,944,508,645,486,596,913,733,846,563,272,724,018,
440,819,198,490,346,505,906,299,995,888,256,057,165,399,238,121,920,953,502,
670,003,462,968,049,674,465,868,853,833,552,575,405,201,331,079,671,710,400,
561,004,271,861,974,038,046,585,220,840,150,083,897,052,990,205,489,107,086,
730,747,356,629,467,143,750,114,750,488,110,391,159,256,446,678,313,728,730,
340,588,875,710,322,444,693,484,790,881,091,605,946,170,500,493,899,826,928,
469,877,176,926,338,085,476,689,015,937,587,839,575,318,304,037,167,979,662,
790,741,860,359,959,190,281,536,547,609,309,022,016,427,279,888,545,219,463,
350,246,917,781,224,900,412,297,762,827,121,460,255,781,791,329,667,057,816,
779,978,811,152,259,857,711,341,543,917,479,809,384,226,908,156,569,595,675,
166,353,891,042,179,008,928,447,704,098,971,192,403,442,076,032,692,308,401,
229,234,723,106,435,090,326,606,930,325,679,408,996,313,356,075,700,535,701,
294,665,308,492,415,919,683,523,608,073,236,281,078,199,150,095,560,734,719,
658,376,612,507,089,757,423,472,143,488,911,861,762,335,400,756,297,607,822,
086,136,855,041,626,027,754,507,280,007,331,408,463,211,175,386,823,463,468,
410,874,264,814,404,009,195,778,243,889,472,124,712,319,062,039,610,738,109,
686,255,510,812,122,266,898,180,835,442,432,801,984,566,852,311,857,689,149,
435,951,772,362,667,539,913,417,357,866,772,161,167,685,047,775,296,218,428,
287,968,309,026,107,231,609,144,779,063,520,407,981,240,068,967,188,827,268,
695,586,802,584,683,645,543,672,565,093,688,064,151,245,026,175,785,478,082,
105,439,945,487,562,003,327,541,649,375,839,544,825,882,818,939,494,049,509,
049,118,838,413,330,813,805,247,500,750,333,171,417,496,925,622,540,637,774,
448,086,338,531,283,832,586,540,968,599,038,259,132,024,820,521,223,635,657,
001,564,484,563,429,504,061,434,750,116,653,836,765,585,735,734,815,128,999,
931,921,790,599,140,949,152,255,105,238,886,675,572,900,185,006,950,697,145,
927,148,091,640,052,730,991,491,248,266,804,028,602,742,356,650,079,153,221,
273,948,987,400,975,116,526,797,309,779,383,602,283,231,503,710,109,189,953,
875,271,385,279,408,409,685,331,637,703,251,317,114,695,503,475,236,386,611,
486,572,931,918,023,886,106,689,355,596,693,434,926,369,071,572,586,325,938,
501,192,325,261,107,568,027,515,168,273,349,182,942,237,625,696,400,548,608,
095,752,495,259,337,765,715,615,781,687,426,821,535,149,393,002,456,981,403,
183,893,911,791,134,239,662,364,118,813,093,443,697,749,557,905,924,776,930,
689,776,613,772,973,442,627,431,631,939,615,227,810,923,415,146,616,101,330,
618,865,922,579,751,849,587,903,582,598,366,902,939,136,269,837,072,794,205,
228,361,292,150,466,555,257,018,041,913,130,235,207,814,471,482,564,718,486,
890,181,729,263,575,269,748,599,396,010,913,291,488,086,637,263,068,020,793,
772,480,446,574,609,359,906,491,083,622,113,701,893,502,500,766,541,683,605,
552,058,450,689,531,600,763,663,850,676,355,580,115,400,355,211,383,812,908,
993,705,008,402,315,742,273,375,280,110,258,122,624,153,081,551,957,929,313,
394,585,908,220,272,459,885,217,233,628,773,750,888,697,928,308,463,400,282,
517,717,985,471,759,816,460,598,163,202,760,167,860,139,318,513,543,990,515,
882,956,702,904,226,543,329,533,865,077,699,229,403,537,875,289,430,566,649,
209,975,197,412,121,299,253,509,599,985,123,104,242,561,163,944,698,562,859,
400,549,930,602,660,305,873,879,672,053,323,360,959,376,858,765,728,988,200,
158,710,184,790,897,450,394,750,654,382,500,812,168,237,652,655,793,455,982,
550,391,856,640,168,975,778,079,122,325,899,638,619,465,139,529,069,936,495,
262,112,205,919,277,391,453,207,341,176,508,399,834,492,033,707,437,862,913,
287,430,878,186,920,526,259,746,657,097,578,266,845,899,487,371,998,854,719,
377,940,646,417,101,871,779,609,328,428,881,131,777,647,563,089,914,734,875,
720,787,623,561,679,877,325,817,372,714,169,146,649,709,261,434,006,416,910,
409,311,670,376,949,110,187,962,004,795,275,413,535,052,000,360,405,292,122,
458,396,635,188,090,984,593,058,306,933,646,824,425,674,755,957,723,622,693,
797,905,421,987,376,967,910,998,230,976,928,460,262,873,566,258,312,419,097,
898,827,257,602,396,464,641,564,866,613,760,939,283,293,836,486,030,699,350,
233,478,978,725,733,548,057,477,586,449,154,721,218,731,045,320,255,197,804,
617,065,970,288,631,711,417,116,350,594,930,528,686,362,655,865,779,403,458,
672,459,977,951,793,957,061,768,794,607,488,429,305,267,264,337,990,398,841,
998,301,487,383,610,862,720,723,246,169,758,056,095,750,126,001,657,180,466,
650,330,320,698,239,734,638,424,941,641,587,083,772,561,669,214,554,215,428,
663,197,840,618,848,204,018,118,702,732,047,447,287,400,650,920,795,613,336,
722,780,835,458,353,668,881,411,309,183,067,142,597,789,595,836,251,455,143,
562,342,487,977,643,289,408,359,810,509,997,285,162,506,388,975,927,807,887,
335,243,550,889,237,564,841,770,646,456,449,845,676,981,858,936,048,775,633,
821,980,196,513,974,853,485,048,075,291,149,931,030,559,294,214,437,155,994,
922,871,594,231,452,221,327,771,209,932,715,713,475,065,745,631,169,554,345,
920,877,173,085,716,756,177,433,512,860,119,593,500,873,159,949,366,069,358,
631,049,043,244,990,727,317,413,334,845,292,551,437,115,938,693,442,215,304,
224,494,141,204,241,745,391,898,532,723,520,553,979,561,477,807,672,037,684,
380,703,522,765,574,348,762,561,704,585,831,397,224,610,846,115,526,565,334,
892,172,018,219,918,505,800,615,014,351,638,611,630,014,478,028,858,978,950,
834,544,619,987,281,586,074,875,823,346,665,686,645,178,427,371,525,636,506,
651,585,747,267,248,428,136,735,876,326,171,231,658,623,989,013,744,157,299,
887,579,242,619,332,265,026,348,795,309,265,903,330,931,384,761,540,373,236,
046,050,936,482,787,597,731,564,197,619,414,234,841,231,520,086,772,124,852,
744,912,509,976,537,780,602,344,020,330,135,081,826,074,270,221,512,352,942,
624,959,404,703,644,599,004,527,562,446,455,600,988,667,529,343,185,903,107,
265,950,491,145,694,859,959,407,463,204,600,873,471,669,120,935,907,905,678,
054,853,358,447,237,967,358,112,272,338,569,260,295,991,586,217,116,135,925,
404,680,291,828,234,950,360,423,610,505,958,520,580,504,933,744,212,726,904,
269,466,772,077,644,577,390,807,460,736,080,525,566,938,974,768,039,720,226,
357,432,810,413,888,001,058,465,276,883,682,232,364,796,582,273,485,021,836,
184,038,171,390,204,906,428,989,322,871,913,115,309,993,136,388,496,836,118,
997,228,762,550,064,788,354,430,700,274,535,370,440,828,252,584,194,769,955,
998,517,443,223,373,618,756,036,827,566,119,501,522,480,505,531,026,257,250,
583,347,934,349,133,099,841,537,767,989,745,168,780,677,175,173,686,355,835,
926,806,722,795,092,366,014,485,363,675,220,499,390,258,247,621,635,412,460,
627,895,579,699,256,399,866,112,741,133,635,475,732,336,665,277,308,757,123,
343,235,028,732,111,266,772,507,074,659,772,461,989,710,205,680,334,838,387,
372,420,601,877,565,130,596,889,396,767,609,960,291,034,590,915,309,381,047,
900,933,434,124,699,349,381,951,396,143,183,153,041,425,236,658,629,091,082,
528,044,761,051,293,034,343,331,553,759,026,831,595,486,239,968,321,865,810,
884,396,050,687,952,147,809,573,146,568,260,818,089,656,276,758,819,807,093,
290,614,231,270,780,292,155,836,789,992,781,912,588,979,915,249,155,748,401,
798,398,688,712,549,938,045,302,643,614,396,693,007,270,393,882,955,009,970,
750,176,832,501,761,353,902,515,751,763,633,669,581,787,140,223,214,129,831,
058,477,258,357,005,935,605,903,166,013,463,776,732,612,667,577,415,531,886,
753,082,576,142,047,636,864,421,631,895,752,045,358,644,607,442,978,144,888,
641,665,336,325,930,117,777,910,334,099,340,172,395,991,475,370,884,924,212,
718,533,567,375,614,605,098,769,156,643,993,748,342,752,012,966,286,054,445,
345,509,027,918,516,689,677,769,862,450,308,834,495,652,001,854,864,036,045,
081,017,305,528,465,910,477,795,098,590,355,824,325,475,733,989,833,479,220,
015,701,119,548,097,251,506,962,139,209,458,402,848,154,311,215,398,005,860,
550,882,452,494,923,264,118,373,993,519,189,431,696,583,073,277,983,588,174,
261,515,615,756,423,884,379,298,439,103,733,055,252,921,348,666,728,948,946,
722,770,146,090,502,606,811,826,366,187,232,061,608,612,173,555,570,152,945,
337,978,412,513,293,016,881,538,366,432,466,749,457,126,855,984,002,808,796,
576,925,613,559,198,333,915,697,551,925,518,372,090,080,084,021,747,556,672,
140,154,972,492,802,204,743,983,664,302,110,065,974,410,736,569,262,356,358,
753,107,467,874,593,614,678,729,049,907,163,533,530,840,757,797,510,597,131,
776,869,783,804,689,792,782,138,633,080,011,129,537,088,588,137,924,214,273,
525,515,011,583,092,264,814,724,547,740,440,538,377,479,670,973,328,087,254,
328,845,436,080,856,680,824,306,047,956,743,763,882,208,185,303,747,070,426,
624,813,743,265,257,158,560,253,904,690,297,844,421,648,498,536,925,863,391,
240,704,833,980,424,529,740,386,614,948,256,554,101,644,111,807,842,628,146,
641,974,020,009,338,040,091,471,189,284,139,431,524,342,182,110,942,689,357,
340,631,414,277,285,213,974,688,572,458,273,232,288,282,776,575,135,245,419,
384,699,763,393,551,415,620,240,869,320,223,332,742,856,838,892,167,594,322,
131,474,296,273,641,911,607,067,929,470,331,111,613,869,605,295,556,445,852,
660,265,631,584,544,032,239,827,354,482,460,998,706,750,335,752,107,854,622,
312,817,077,776,171,549,502,944,186,024,041,648,466,666,746,425,392,725,890,
628,684,012,578,127,541,745,819,232,225,085,714,724,068,773,383,173,183,822,
936,568,033,477,579,391,079,419,970,321,257,309,508,742,615,338,870,652,246,
706,118,662,858,261,767,194,009,411,961,575,334,962,594,600,286,088,472,547,
151,510,663,631,892,513,107,214,011,980,107,625,661,417,094,493,333,905,206,
637,083,871,244,628,610,274,735,185,010,279,752,155,100,814,934,122,347,303,
532,407,990,266,788,906,767,744,944,641,049,790,438,621,946,174,580,216,396,
337,615,841,494,011,166,755,708,779,259,650,540,847,087,144,880,124,666,988,
526,858,616,346,297,727,819,020,175,489,591,206,775,845,285,943,150,344,868,
260,195,320,178,719,189,636,563,952,455,035,688,222,761,456,172,936,964,231,
190,248,507,393,506,734,206,982,057,601,204,698,837,437,154,734,970,840,615,
874,431,726,113,803,660,669,834,907,217,848,041,141,970,653,005,961,140,423,
565,033,777,110,394,120,971,687,766,893,212,012,322,647,837,718,965,260,901,
603,860,498,066,176,933,121,710,228,074,158,374,413,790,050,064,371,762,380,
290,983,474,401,247,496,980,535,899,399,500,097,913,733,299,469,918,289,516,
309,791,081,665,775,791,368,881,614,514,431,619,262,727,292,130,476,758,773,
947,193,240,928,920,587,079,385,459,549,563,304,452,916,033,310,080,889,913,
183,046,205,686,427,942,579,106,474,082,664,289,256,959,942,141,479,109,204,
375,428,748,504,270,820,095,979,866,995,297,501,587,370,699,735,589,064,727,
596,945,375,371,624,101,605,501,290,605,283,158,259,988,971,795,898,252,590,
020,638,809,741,307,257,978,995,775,203,182,717,721,861,336,120,031,790,915,
431,840,661,245,310,416,613,438,695,143,377,944,029,749,951,460,775,822,561,
583,202,958,840,528,403,700,821,650,977,064,647,336,731,956,346,376,988,595,
573,648,713,022,120,613,928,534,855,512,020,686,891,614,149,770,766,973,590,
143,519,176,705,203,744,887,679,993,742,027,387,271,694,182,938,049,776,467,
177,060,414,137,965,254,641,281,342,112,603,231,948,230,361,186,444,702,423,
313,515,428,876,692,207,926,957,734,507,838,947,427,919,492,592,150,701,245,
940,615,095,009,157,615,756,721,532,677,517,677,715,750,170,526,603,149,276,
522,887,193,558,046,804,445,747,918,703,600,730,526,881,014,759,594,530,999,
238,799,903,267,605,443,905,758,590,542,180,270,734,418,419,319,857,542,969,
530,747,209,156,928,064,247,911,526,843,367,703,848,687,425,546,186,718,955,
502,460,232,894,960,793,672,017,245,850,573,447,422,819,144,096,020,316,908,
346,862,355,202,467,173,025,428,694,797,512,157,867,602,812,571,559,258,213,
191,744,751,133,781,492,851,340,710,305,343,972,691,172,559,487,120,290,096,
190,844,275,949,500,114,815,459,745,173,280,636,852,901,570,877,028,200,342,
438,972,140,678,634,016,965,948,402,740,826,727,102,056,562,231,297,398,023,
338,847,626,655,450,826,785,226,824,327,707,411,530,861,210,293,697,176,700,
247,328,255,958,506,066,178,702,553,959,402,394,583,843,620,376,370,078,162,
152,160,582,633,066,634,987,640,583,570,839,817,208,001,403,698,382,229,201,
883,952,047,195,353,862,655,570,575,745,585,317,747,241,845,402,779,750,254,
211,580,598,742,708,090,826,365,404,130,768,536,945,263,412,565,556,930,879,
535,524,011,406,092,183,647,545,438,657,460,014,817,560,466,588,843,175,731,
173,580,622,335,096,607,855,984,342,797,612,391,070,996,028,888,154,398,084,
695,933,619,718,857,231,329,056,716,571,024,084,646,048,638,583,655,437,218,
307,437,179,670,566,381,429,664,500,664,392,350,801,664,385,275,976,638,610,
380,833,206,323,221,994,206,358,397,951,392,861,056,306,155,294,913,012,903,
448,061,818,967,511,567,549,914,248,508,230,084,057,659,247,053,213,170,455,
810,580,956,978,898,630,176,767,778,841,008,388,241,946,733,660,645,454,425,
011,715,622,858,747,627,118,324,417,653,238,919,218,573,569,683,721,584,093,
094,845,299,229,937,661,389,624,991,203,865,343,057,587,712,342,554,367,139,
018,892,002,246,132,428,354,555,396,507,331,927,003,000,692,984,314,824,228,
913,797,322,162,715,895,019,726,298,529,619,248,366,468,691,160,528,569,463,
989,327,749,505,467,085,522,537,301,084,358,020,835,463,347,837,646,190,627,
772,259,585,237,439,004,851,663,328,458,069,024,810,387,291,200,719,639,346,
907,121,422,610,550,487,961,024,426,440,136,211,065,145,597,922,368,498,014,
595,532,588,661,727,199,014,438,964,866,523,036,840,748,835,533,593,612,815,
588,852,918,944,513,365,857,150,077,454,467,688,185,576,515,835,470,112,214,
753,419,862,159,419,461,412,329,028,906,376,139,241,542,022,212,553,200,548,
094,020,992,915,196,606,202,841,573,593,598,172,866,054,974,086,256,358,363,
840,992,566,431,585,914,399,717,176,705,894,932,037,415,327,834,057,216,360,
605,431,462,452,115,303,466,432,474,005,001,678,944,731,520,684,861,066,031,
400,122,337,797,345,307,626,459,680,457,375,840,473,514,357,169,108,297,944,
746,616,159,096,811,023,374,793,645,510,621,027,497,011,605,793,256,696,806,
421,062,034,994,514,915,806,130,202,116,339,088,311,657,115,423,086,387,257,
461,782,311,655,829,579,182,078,757,329,747,958,752,037,204,237,810,750,961,
673,669,887,111,143,724,223,663,473,976,075,147,554,756,171,248,188,941,717,
913,051,170,150,168,109,680,550,877,512,348,726,814,122,398,612,261,951,247,
762,314,050,877,956,359,569,745,202,100,407,215,786,283,382,416,902,524,396,
197,895,327,986,220,643,863,226,671,989,459,746,129,697,280,701,079,062,911,
194,528,833,032,260,937,072,176,917,029,816,948,455,455,479,784,724,939,933,
817,194,142,490,632,145,613,239,647,207,194,270,621,046,367,673,985,318,486,
463,852,414,092,777,933,505,298,410,961,358,032,506,257,611,780,145,776,244,
469,788,522,858,370,848,112,465,376,201,916,737,729,486,523,574,436,278,710,
376,442,258,773,514,492,300,373,754,466,791,808,593,293,839,222,349,283,419,
444,203,920,898,282,734,951,748,092,421,385,102,530,267,269,864,171,012,103,
308,108,117,358,316,495,119,376,740,272,764,542,610,798,886,889,391,742,772,
644,264,135,224,345,622,797,341,854,262,495,048,751,181,574,189,141,280,681,
329,199,828,166,536,633,443,108,340,189,205,802,924,965,952,137,831,468,178,
076,557,079,014,320,963,693,237,560,569,198,799,516,118,375,140,181,620,770,
383,390,784,519,776,867,166,477,791,707,627,886,451,063,741,732,829,417,096,
565,368,742,348,225,897,617,062,130,571,990,205,664,230,331,036,928,114,676,
020,855,569,587,573,297,960,344,985,329,816,003,744,277,362,450,155,671,852,
664,925,452,888,628,711,122,370,795,139,371,050,869,741,669,605,270,468,879,
153,877,079,218,754,582,989,840,184,988,500,889,123,522,879,546,443,434,717,
936,236,027,779,401,539,212,476,132,918,548,048,437,701,589,281,375,153,032,
423,318,571,681,299,636,937,752,027,453,559,068,175,026,820,676,336,334,004,
604,372,639,898,582,164,483,244,843,284,767,931,636,545,174,656,552,495,160,
989,816,030,034,557,165,970,974,224,118,568,877,758,464,519,998,596,543,375,
319,635,964,718,171,961,408,403,537,956,812,041,581,820,188,439,380,363,176,
493,641,561,479,763,603,596,586,553,206,017,272,216,674,301,952,901,568,391,
394,844,413,953,207,595,759,193,318,566,835,500,349,541,094,478,120,027,557,
328,283,159,659,249,594,030,439,555,781,151,702,610,412,530,739,643,284,977,
343,450,746,815,057,729,970,867,775,821,879,323,270,474,962,925,572,822,835,
945,818,493,929,957,567,146,115,789,589,247,440,391,625,241,002,490,633,190,
385,346,664,154,656,482,694,600,202,726,208,333,964,696,325,218,815,091,126,
805,382,799,811,920,233,513,647,676,507,118,595,962,093,334,690,745,710,375,
984,349,972,624,490,557,686,691,185,117,074,568,599,200,613,399,583,189,471,
166,183,700,486,594,644,647,873,763,628,333,839,781,311,396,201,423,027,060,
256,387,982,891,538,537,939,803,666,491,013,349,805,781,204,112,376,739,005,
354,458,851,319,339,015,108,486,416,257,464,398,802,905,347,473,008,579,713,
992,451,275,602,330,750,241,367,295,350,721,398,797,777,734,068,757,093,048,
446,605,544,040,916,169,280,337,509,903,425,116,699,340,906,706,028,825,501,
355,794,717,244,101,270,259,292,795,404,346,502,731,059,613,690,506,373,202,
200,540,439,266,574,344,193,489,306,001,326,745,777,545,691,968,745,761,400,
937,979,097,188,685,329,311,870,373,651,919,391,279,858,834,403,190,774,497,
014,037,451,964,656,773,722,552,349,118,406,456,315,216,073,547,052,983,889,
956,428,124,412,275,090,475,381,885,308,967,113,232,146,419,246,370,226,177,
977,243,741,170,011,048,919,947,934,090,851,744,932,918,838,084,143,895,902,
714,317,575,197,162,242,806,086,879,570,287,916,520,309,498,975,778,265,761,
936,894,938,373,088,048,086,496,130,873,623,168,416,236,046,225,837,772,528,
837,126,946,854,493,755,071,569,254,593,054,308,343,812,597,419,763,078,112,
560,474,021,101,575,516,785,401,200,944,009,708,877,769,682,285,908,764,955,
793,530,800,067,235,589,153,568,997,333,562,392,575,365,381,719,486,317,059,
181,700,229,553,142,165,959,593,356,949,046,437,814,338,100,630,452,993,175,
756,055,221,893,224,375,768,494,611,697,101,795,802,482,176,337,436,249,817,
292,375,309,170,872,725,495,420,913,476,910,713,055,923,350,991,079,244,122,
746,890,566,942,375,595,176,667,704,288,788,101,353,294,635,420,656,318,895,
760,409,268,432,296,618,817,160,108,287,063,058,185,257,348,858,191,367,103,
932,988,982,179,114,806,012,716,626,604,489,433,168,717,997,999,580,340,733,
246,961,316,357,204,271,004,830,360,025,317,281,384,662,115,800,576,912,299,
501,566,567,873,579,297,861,419,348,106,829,460,429,698,024,155,768,488,178,
999,225,624,941,400,423,355,814,921,171,899,932,224,843,072,157,509,363,814,
194,871,879,097,124,918,195,076,865,091,200,963,833,889,236,258,028,019,534,
517,484,756,859,772,663,836,522,352,903,635,345,325,483,599,850,576,590,491,
704,377,793,511,952,926,092,412,484,939,946,656,550,012,502,054,669,508,630,
397,293,872,419,831,490,805,750,584,429,092,533,949,605,225,003,171,885,075,
737,136,897,508,599,749,169,441,610,144,315,032,974,416,490,838,187,788,795,
463,384,746,449,781,996,455,946,400,185,367,706,396,689,110,214,244,898,665,
000,959,159,465,174,084,599,159,636,439,050,491,044,879,741,910,080,703,178,
187,111,710,540,568,813,836,323,094,797,573,859,308,879,624,832,566,989,629,
492,435,438,327,282,658,458,282,666,879,747,076,334,670,953,363,963,976,045,
306,750,147,588,611,885,920,554,018,611,622,045,401,516,092,553,202,415,964,
235,837,573,952,331,117,659,606,479,942,632,206,340,356,753,980,799,448,040,
542,065,484,775,773,277,192,693,053,980,607,330,728,836,961,654,283,990,455,
892,919,763,475,545,569,556,078,729,811,233,828,663,972,591,910,813,850,426,
689,619,770,855,268,723,798,941,926,095,665,440,066,964,903,677,808,683,686,
769,123,241,896,638,089,665,384,223,220,588,648,938,355,401,875,886,053,905,
962,826,987,453,509,496,992,462,374,896,832,407,258,883,861,868,389,500,246,
696,003,974,295,077,691,403,860,776,950,042,011,856,561,466,886,544,312,371,
815,970,661,960,449,345,760,732,312,203,863,803,643,466,895,556,518,669,321,
498,102,136,498,776,307,727,145,662,171,222,254,404,652,669,132,444,177,310,
488,242,760,547,639,158,338,917,572,843,359,119,066,143,285,895,661,537,950,
407,846,521,226,828,822,202,166,342,969,586,330,039,463,890,365,191,726,961,
500,711,618,819,224,343,162,257,679,536,157,021,446,310,062,511,874,512,279,
822,069,738,183,479,449,116,968,739,495,024,185,843,870,162,163,181,716,346,
433,091,561,596,482,384,720,238,377,207,517,893,541,825,876,803,425,243,564,
340,813,689,752,652,551,384,432,893,610,955,116,589,854,214,095,303,535,219,
504,877,128,368,434,373,393,822,763,104,272,241,198,647,163,270,207,501,747,
202,316,714,666,544,561,994,223,436,188,460,197,754,199,403,380,852,897,150,
987,163,224,618,387,625,866,614,070,700,348,359,190,534,950,857,036,909,655,
796,973,569,238,444,944,292,770,852,453,409,430,189,916,219,979,334,215,550,
747,045,268,520,783,759,290,481,812,531,097,370,535,978,940,197,397,697,886,
204,727,062,012,478,366,547,804,308,249,073,000,266,436,063,525,240,139,134,
883,318,990,694,520,878,524,444,789,387,513,438,156,074,362,822,464,317,575,
598,231,988,815,812,412,111,646,623,924,205,500,082,556,545,389,768,029,749,
309,399,147,590,605,829,644,423,653,041,632,856,811,522,926,853,719,258,913,
776,330,561,874,865,466,974,708,011,042,942,702,045,564,675,393,961,926,681,
019,117,596,743,193,767,172,380,531,751,318,907,969,316,257,087,479,640,256,
243,114,929,818,892,501,402,484,856,866,168,327,776,221,239,099,286,125,733,
540,492,975,956,406,565,968,783,268,691,836,574,829,150,236,646,365,845,467,
172,922,128,557,260,060,825,988,302,716,228,695,371,866,854,176,232,344,440,
274,433,850,142,827,535,515,602,970,001,522,675,773,180,361,249,492,355,744,
318,194,758,391,063,775,061,142,438,336,612,623,067,371,755,780,679,901,433,
642,009,613,033,204,525,415,447,985,336,735,883,129,833,336,581,589,511,558,
488,036,170,632,148,260,113,780,213,311,975,430,447,673,390,013,494,951,102,
786,812,793,467,852,570,876,003,636,562,331,579,372,359,294,174,311,188,492,
969,665,540,126,275,168,849,661,331,618,996,302,069,721,588,071,408,140,978,
627,047,223,760,229,167,711,794,714,960,151,107,341,144,244,534,892,743,255,
663,624,500,848,164,786,958,587,941,972,891,321,931,073,046,203,225,028,716,
409,078,304,271,352,365,381,274,488,494,334,821,300,953,322,162,015,048,420,
596,247,895,515,842,393,067,983,767,769,506,894,652,636,921,300,642,512,278,
577,577,338,841,751,622,826,887,018,918,331,515,219,316,007,817,841,328,303,
587,270,594,247,171,229,023,621,204,675,745,381,630,767,949,990,709,449,080,
113,929,398,353,105,358,585,835,651,723,991,688,356,595,539,463,060,870,503,
216,491,955,607,986,679,943,262,770,905,460,569,519,770,089,818,857,284,217,
385,091,419,161,323,810,749,458,728,582,228,789,392,652,970,625,295,683,586,
187,716,494,294,761,732,940,188,255,632,326,809,407,171,395,470,075,496,725,
098,918,647,162,841,027,432,944,479,854,514,924,364,770,399,206,710,360,956,
648,751,808,963,946,980,602,372,139,586,407,600,848,732,681,489,749,152,492,
007,004,912,035,260,515,500,845,031,302,053,505,439,922,133,127,253,236,377,
096,327,720,265,700,907,855,853,402,119,072,506,016,798,854,824,564,512,040,
822,852,959,286,517,796,516,546,690,613,864,893,877,955,988,940,476,824,064,
754,107,320,004,572,854,780,284,921,952,049,689,577,559,941,570,711,477,051,
510,037,586,651,554,073,621,028,169,293,417,153,578,352,501,594,652,527,330,
170,002,978,977,468,676,410,694,034,682,445,506,282,349,040,268,082,118,231,
795,603,683,497,685,853,812,651,943,716,800,475,289,924,564,943,775,331,957,
812,271,486,654,723,072,443,954,604,201,635,727,471,242,872,055,823,517,731,
020,836,885,247,979,275,085,907,337,957,209,667,174,385,944,955,400,934,941,
917,366,724,211,306,827,936,079,024,262,714,568,788,442,909,971,642,421,258,
170,708,164,957,885,697,887,412,544,671,555,246,981,327,330,036,598,347,021,
096,286,956,317,657,593,598,556,945,189,024,250,187,086,755,436,759,706,039,
261,038,676,581,976,889,218,371,114,435,883,475,419,836,215,892,527,437,630,
282,426,826,039,598,717,423,473,818,449,460,617,992,392,105,723,080,287,522,
369,258,711,605,831,483,286,587,239,852,476,249,349,594,901,016,447,971,381,
472,698,420,537,826,658,755,674,820,280,912,317,642,517,260,131,579,309,603,
053,750,210,883,839,690,442,327,088,198,487,465,297,539,471,498,712,127,264,
264,909,799,827,526,762,704,451,457,376,081,232,719,523,859,898,171,949,465,
121,357,654,045,280,703,181,740,797,494,840,287,587,148,239,417,553,695,090,
820,823,124,655,273,522,657,337,423,497,795,175,447,016,361,682,347,698,178,
857,633,088,321,515,299,741,988,021,982,408,907,458,965,472,439,044,754,457,
173,490,587,169,733,682,589,069,578,769,446,083,999,025,391,115,723,350,457,
129,084,283,054,518,072,544,663,370,703,643,346,641,035,601,976,224,647,446,
751,523,178,777,115,133,470,988,920,425,225,006,448,195,638,747,621,013,803,
998,940,329,694,458,403,788,287,062,223,358,107,993,325,586,067,434,750,153,
905,377,819,878,680,624,391,662,044,806,986,177,333,781,371,188,274,434,156,
117,814,659,590,917,572,080,146,520,860,255,046,947,246,741,725,833,355,712,
838,132,615,823,758,878,145,227,228,349,161,583,044,662,541,908,569,679,858,
648,044,571,618,946,333,505,158,296,791,907,290,870,756,944,693,498,124,041,
334,781,635,335,119,130,999,740,360,282,222,705,629,271,631,454,264,092,140,
615,464,993,468,469,183,594,266,086,233,896,820,119,004,309,038,068,418,101,
345,748,247,569,092,463,890,136,303,979,113,042,531,183,189,891,143,624,131,
241,164,254,787,769,104,543,987,154,373,919,108,468,734,327,039,744,159,585,
812,930,311,650,065,262,306,997,755,874,842,446,188,396,807,556,136,547,774,
399,744,876,441,427,442,574,368,632,916,510,397,923,562,483,410,576,136,630,
989,784,709,635,189,508,408,827,712,947,198,142,740,595,884,877,022,795,197,
522,961,199,162,694,518,734,142,006,177,100,425,268,761,763,587,554,899,521,
823,738,256,109,791,162,800,014,630,599,283,219,379,146,906,684,859,574,950,
099,758,123,126,997,206,565,305,130,728,257,151,050,221,640,677,830,535,306,
047,924,727,397,466,279,327,581,039,524,461,194,925,575,022,087,903,105,111,
544,676,430,056,223,461,949,143,083,663,718,661,475,838,225,866,218,510,521,
986,406,413,307,794,933,559,667,150,817,686,763,636,033,377,953,773,109,305,
490,916,312,932,671,673,608,068,596,050,052,264,702,358,182,556,285,657,778,
833,771,724,858,087,180,789,722,020,263,936,986,945,263,345,271,774,419,473,
624,079,400,527,006,491,947,086,163,362,956,044,412,982,665,824,805,738,973,
205,256,736,709,098,617,436,592,502,192,824,757,009,231,670,400,653,319,405,
141,018,065,661,146,394,402,221,897,571,585,558,917,419,913,417,213,102,827,
136,436,089,827,299,312,662,337,077,341,032,594,952,663,035,465,524,733,146,
036,006,899,959,010,469,558,130,846,007,789,928,764,814,354,734,836,704,146,
173,790,330,235,383,043,237,288,370,220,333,725,253,551,359,662,075,087,674,
844,816,694,198,676,039,318,231,456,972,233,864,225,235,999,324,962,231,877,
425,433,325,544,591,345,677,661,312,313,580,303,311,579,413,231,847,187,538,
815,589,495,447,254,478,831,246,883,072,073,616,937,181,461,548,093,566,333,
875,532,438,081,466,001,422,064,016,937,781,707,951,872,094,754,191,170,803,
501,383,608,883,748,720,304,782,272,609,792,613,900,083,910,051,714,693,139,
861,239,714,271,069,046,438,800,444,957,268,230,321,566,359,990,692,497,647,
014,833,250,861,596,707,610,006,386,514,779,122,810,644,806,286,711,323,198,
882,704,076,455,900,043,118,087,975,277,526,394,816,143,029,625,744,599,096,
598,459,593,519,362,364,770,842,435,915,189,024,619,985,532,311,858,968,695,
997,030,462,510,876,952,775,272,798,484,343,068,920,653,518,433,518,187,073,
823,833,197,710,692,876,953,197,411,180,836,558,517,809,484,587,472,491,691,
138,373,043,678,659,532,210,177,082,051,544,172,410,788,982,018,869,804,588,
928,079,970,724,645,130,564,929,154,447,216,410,832,513,793,447,634,027,646,
057,605,853,373,483,829,341,845,721,125,923,990,946,189,461,125,779,366,771,
294,739,217,613,644,468,678,137,693,883,946,777,542,594,969,919,121,769,569,
247,907,499,346,592,093,282,704,845,608,533,279,827,051,560,644,217,665,454,
003,859,843,826,076,714,938,686,135,291,734,654,635,262,547,077,511,093,138,
186,162,846,087,641,847,022,916,136,219,395,606,261,508,396,909,390,933,901,
239,909,430,023,834,976,779,350,650,049,781,206,016,449,462,031,814,110,143,
382,138,298,620,439,530,016,423,631,971,087,679,063,794,439,204,691,983,818,
803,498,842,347,249,411,817,874,792,351,064,284,558,830,434,044,671,102,223,
698,374,697,719,687,171,870,366,848,307,516,172,491,168,180,549,023,615,310,
540,171,604,598,575,126,645,374,080,598,914,355,538,124,200,912,192,257,258,
137,639,019,078,167,008,610,245,147,483,341,156,459,709,080,526,469,999,454,
990,622,698,864,752,269,852,846,500,160,219,887,912,374,264,554,164,858,927,
159,434,291,086,397,650,492,158,602,952,190,696,502,554,018,410,960,032,507,
042,628,996,082,784,892,982,768,685,583,841,998,234,381,956,011,891,578,829,
610,956,271,009,745,651,882,174,452,057,821,095,955,920,646,308,667,082,738,
354,572,833,955,416,915,378,427,708,814,471,997,741,987,474,777,921,367,890,
122,587,649,546,288,338,505,772,699,341,185,380,692,944,090,978,292,314,135,
276,313,512,606,454,768,932,332,407,466,442,160,723,241,705,883,970,541,021,
599,343,460,045,264,172,338,530,641,278,301,166,055,205,046,099,291,227,401,
437,619,969,140,892,626,020,115,997,586,951,437,486,956,790,901,689,650,520,
350,877,170,252,446,791,108,360,015,388,801,582,457,212,483,311,446,797,709,
543,099,892,145,082,086,519,112,577,848,785,642,772,075,838,500,575,560,596,
518,126,797,401,147,916,677,395,741,621,379,952,445,792,864,889,701,681,564,
795,347,754,658,610,328,814,988,373,667,134,688,538,962,938,193,816,763,040,
937,879,923,080,002,306,386,371,793,602,447,356,861,501,266,630,540,721,510,
245,745,098,513,211,524,294,312,301,558,142,635,485,036,010,693,344,283,570,
680,411,465,315,977,440,689,556,927,349,088,215,200,677,074,090,830,204,237,
186,857,590,905,969,867,645,127,334,641,047,482,460,114,753,836,887,106,717,
880,747,337,689,509,761,852,464,688,804,131,132,346,028,506,758,523,003,812,
673,031,183,079,075,089,039,017,397,886,673,721,196,660,476,005,311,717,306,
740,580,911,441,197,030,603,981,810,348,711,960,550,753,580,358,061,640,598,
745,940,551,860,559,940,952,484,850,821,593,834,194,038,453,857,585,032,161,
881,324,013,893,036,113,722,949,553,457,903,995,408,618,700,012,996,192,324,
600,137,458,819,998,861,131,978,154,629,390,922,995,261,451,528,285,807,502,
433,236,352,519,675,772,528,701,797,737,005,068,153,537,736,630,565,954,433,
918,978,596,030,099,318,250,379,382,260,984,655,237,485,705,233,485,851,913,
423,135,204,247,492,609,892,378,496,144,910,998,151,411,546,433,758,887,080,
956,406,734,156,445,975,593,797,092,416,693,552,915,850,634,524,741,298,000,
320,672,312,556,641,252,534,467,187,718,358,125,247,879,963,635,490,815,478,
283,033,632,675,370,149,744,383,653,477,437,992,937,203,631,365,668,064,687,
271,774,439,966,651,318,525,045,457,600,645,010,742,710,617,802,892,105,609,
324,824,916,684,512,576,925,881,851,737,360,904,448,852,267,158,232,235,881,
709,670,528,638,692,531,934,617,184,330,463,701,231,001,161,507,453,066,220,
509,044,586,690,753,446,729,496,346,599,502,130,729,614,562,450,382,074,316,
694,757,681,736,505,475,469,659,023,000,339,973,321,301,339,872,156,239,549,
131,950,577,181,898,336,941,361,104,952,988,881,166,660,385,176,328,551,913,
321,692,930,564,702,593,837,819,088,109,271,394,026,966,138,730,344,663,526,
440,086,383,308,933,032,729,420,564,863,218,468,269,866,072,264,760,598,366,
001,100,453,930,971,674,167,264,574,447,923,460,500,194,704,317,675,014,943,
990,270,458,207,721,832,069,825,769,526,146,210,191,665,423,480,307,941,056,
114,903,688,878,896,434,348,648,359,256,199,323,480,103,775,777,913,974,777,
809,859,897,986,031,022,083,227,080,181,698,041,832,507,253,350,049,079,376,
959,904,798,342,448,160,802,263,798,264,374,152,279,561,489,710,297,626,470,
536,008,782,642,664,979,874,512,028,853,463,478,414,594,074,482,651,669,275,
680,984,296,712,617,338,402,320,921,322,239,527,850,774,557,142,513,592,797,
403,738,328,494,239,600,008,615,209,254,366,990,902,322,767,281,157,866,811,
921,541,011,734,596,811,180,138,483,748,759,462,351,476,897,992,543,836,511,
990,393,690,071,494,000,415,215,803,909,945,391,897,868,714,726,223,092,699,
073,777,149,571,306,487,161,788,118,753,683,717,559,978,118,981,680,341,039,
417,265,079,962,842,999,509,018,502,311,504,709,287,401,583,963,513,051,621,
828,210,419,519,118,466,992,717,032,453,777,689,617,505,373,578,568,968,450,
908,328,073,796,696,052,424,118,624,348,568,689,695,688,658,118,459,289,146,
078,899,821,955,135,184,316,716,072,240,351,666,397,829,069,571,698,721,813,
547,394,695,880,557,361,291,947,899,325,645,489,012,198,703,793,667,733,683,
827,394,397,361,816,421,199,549,624,799,291,452,106,615,736,947,600,248,947,
147,820,331,066,186,441,964,944,686,845,561,303,746,695,064,785,696,219,855,
083,356,600,493,840,263,717,053,308,264,411,805,332,768,964,413,206,180,349,
536,742,493,313,405,380,228,783,966,354,727,728,763,232,502,484,071,584,247,
842,396,633,361,892,461,986,752,455,830,467,826,771,114,766,997,054,211,008,
293,373,244,495,683,076,960,884,390,935,235,552,185,791,587,079,544,897,456,
227,624,649,217,050,947,774,797,036,963,251,178,091,779,438,979,597,528,847,
270,483,960,933,099,696,085,245,078,004,130,212,425,307,027,757,374,902,014,
140,480,944,786,646,861,990,968,722,930,526,110,404,627,801,840,834,835,330,
736,645,099,201,851,970,860,707,094,154,840,550,521,457,965,316,727,381,144,
682,125,783,705,632,836,212,826,980,608,229,371,574,055,232,712,736,494,123,
009,504,362,432,156,117,471,473,205,134,401,084,494,033,201,815,520,586,261,
269,218,890,428,433,301,770,304,093,662,986,661,953,990,839,861,535,179,045,
121,735,812,180,128,874,163,834,761,690,186,420,082,854,420,169,814,681,281,
367,771,207,966,448,901,915,806,340,258,872,835,647,734,219,927,639,685,419,
308,337,204,524,182,489,429,148,804,279,821,539,476,932,739,688,951,120,321,
080,526,235,474,008,720,371,119,363,888,156,535,781,879,727,799,058,679,748,
997,675,057,827,389,432,579,209,382,572,640,400,113,720,809,223,272,318,518,
514,697,343,744,752,137,048,851,548,457,900,865,825,545,536,008,501,310,552,
326,923,519,884,197,508,780,193,773,187,479,263,209,608,931,473,956,502,312,
114,386,809,988,654,710,522,879,746,193,483,863,760,164,674,758,775,749,442,
653,464,672,907,373,127,120,193,841,757,748,479,706,874,906,128,581,368,426,
155,536,064,196,213,391,797,072,793,108,127,207,806,521,165,781,384,069,525,
618,592,405,463,880,465,152,532,688,346,014,368,153,360,644,075,133,268,580,
770,667,779,882,652,625,322,406,006,118,663,204,908,301,139,718,728,034,617,
575,878,812,051,206,002,872,236,917,556,161,247,409,411,754,156,947,750,471,
731,312,625,200,013,830,723,675,297,022,279,422,433,941,667,126,067,105,109,
824,000,066,187,124,574,322,037,901,840,200,894,045,490,550,241,208,585,817,
970,035,564,591,342,866,791,267,791,564,470,116,517,144,329,959,918,815,449,
290,446,337,484,748,289,742,748,079,344,690,461,425,291,872,407,984,723,332,
121,102,468,331,225,681,384,780,213,875,083,211,816,110,917,826,982,785,945,
422,101,702,503,204,134,189,081,776,788,895,582,440,240,781,477,064,334,508,
556,576,231,255,128,597,269,585,995,215,712,528,633,325,691,485,431,797,944,
661,595,660,134,992,012,413,842,339,819,418,297,587,953,218,511,579,451,063,
509,312,494,845,670,358,834,498,915,295,193,733,168,088,856,271,220,820,435,
828,618,024,681,911,272,662,281,898,258,235,126,536,600,645,295,307,299,545,
269,379,482,520,452,219,069,888,334,024,937,747,961,339,622,207,706,888,225,
305,875,519,183,486,337,835,649,808,359,150,416,264,300,133,344,134,565,731,
538,876,591,730,668,811,726,222,803,706,526,592,153,582,288,054,109,803,911,
754,678,734,011,225,211,926,321,671,247,871,041,396,031,598,647,053,965,935,
178,981,159,276,314,190,535,902,564,517,096,219,762,472,821,891,473,701,229,
838,380,392,299,442,331,367,490,841,917,605,173,157,254,672,750,023,035,904,
804,061,582,865,089,579,390,900,066,755,713,471,093,911,916,193,976,877,490,
566,101,542,652,820,084,624,955,596,518,952,147,205,752,599,662,020,057,201,
994,839,965,581,984,967,698,797,077,014,024,661,753,428,079,076,463,600,404,
159,390,090,011,584,987,615,397,030,485,822,842,005,798,178,117,160,469,392,
884,075,905,792,217,804,632,715,599,847,083,369,071,818,889,739,013,850,375,
086,291,893,620,388,910,364,686,719,539,381,562,549,832,151,341,505,703,979,
810,819,216,394,700,982,447,029,740,843,370,228,820,721,412,202,316,134,847,
676,422,337,514,300,017,176,754,265,772,804,347,749,494,730,571,614,653,814,
642,702,129,520,328,643,391,456,883,703,620,546,678,297,508,214,247,961,157,
364,118,358,529,307,139,027,268,291,570,335,131,548,579,724,778,433,182,893,
974,477,288,171,402,992,229,576,279,726,228,236,008,219,112,134,383,331,290,
326,881,176,149,980,619,931,721,190,342,314,123,467,415,707,159,359,412,950,
161,630,830,827,426,710,167,886,158,251,604,112,149,343,285,955,439,786,534,
368,531,490,974,655,511,299,181,994,195,896,941,171,691,801,562,473,413,858,
738,633,885,903,519,797,873,876,643,348,450,015,462,594,885,120,354,402,257,
467,651,717,875,460,573,814,816,150,602,139,728,060,618,815,790,786,866,691,
883,013,002,467,225,960,868,433,165,687,452,069,871,287,304,217,092,855,483,
943,974,731,221,219,810,026,858,390,227,517,247,393,615,271,133,767,346,474,
933,727,751,935,053,300,894,527,303,844,176,587,529,101,675,584,658,796,260,
683,771,127,452,917,436,104,997,765,747,264,580,159,362,563,141,249,231,139,
722,302,236,148,124,584,602,761,585,616,866,709,188,969,245,740,014,183,429,
442,063,954,108,919,746,528,716,275,195,797,459,786,669,058,316,289,207,681,
837,015,087,332,212,686,795,598,720,332,929,015,910,730,852,321,886,042,302,
776,877,399,962,501,548,418,188,029,338,121,061,225,916,454,981,227,606,602,
776,483,866,495,349,674,036,815,148,722,115,609,347,511,933,864,388,684,122,
158,993,526,263,763,349,667,027,644,058,492,926,198,614,420,987,312,291,666,
533,484,165,247,459,722,972,825,820,170,300,566,364,850,383,890,401,703,397,
404,941,921,655,594,725,605,399,014,243,428,729,300,171,326,761,449,184,481,
642,264,168,196,371,172,194,165,886,808,008,076,978,828,840,063,272,340,553,
617,859,044,418,647,716,739,367,327,256,231,235,653,486,572,756,213,082,055,
569,473,072,663,236,144,514,442,686,083,942,208,347,874,681,392,109,914,909,
432,190,069,432,051,152,769,930,526,026,304,869,735,395,633,937,415,045,446,
467,760,295,678,450,711,684,756,087,817,501,446,749,050,048,910,804,941,076,
311,670,363,292,605,715,072,541,644,445,079,669,354,486,631,702,400,754,946,
720,643,585,402,973,461,918,405,102,898,044,082,785,991,779,868,251,755,588,
344,667,236,667,405,020,115,998,311,473,241,741,554,080,229,949,202,041,479,
464,803,130,794,597,465,897,399,620,893,379,166,693,115,742,444,688,041,178,
354,852,137,920,720,124,588,301,207,895,434,096,022,714,651,489,526,049,306,
813,352,654,687,168,112,253,248,126,212,767,736,012,385,798,511,851,849,316,
344,326,426,907,405,028,102,036,049,611,068,963,324,903,005,206,612,173,762,
043,474,167,520,870,846,766,370,077,308,268,845,166,791,457,262,377,959,548,
994,744,680,034,403,606,458,297,264,456,700,867,302,319,227,002,814,787,022,
431,869,112,593,319,384,423,502,107,379,790,341,170,362,319,713,259,628,334,
090,636,514,246,674,289,114,428,586,714,910,447,326,409,849,304,209,903,114,
727,264,518,938,881,475,686,814,012,063,045,182,271,050,542,598,403,481,709,
324,362,075,702,232,460,895,466,784,894,100,680,833,303,648,410,328,316,966,
587,905,940,162,135,010,323,664,789,726,852,385,287,135,648,499,742,302,073,
456,038,692,670,156,036,423,415,788,446,514,086,119,191,070,916,253,691,276,
339,396,160,589,551,957,118,941,331,038,938,507,297,625,132,036,199,025,826,
214,695,743,621,400,943,253,402,777,427,494,271,768,206,316,537,553,203,002,
931,412,496,181,985,361,630,220,020,425,353,132,241,050,660,290,629,891,045,
802,744,605,613,974,983,711,404,525,612,708,220,027,485,723,469,397,239,350,
316,595,941,910,292,113,617,880,976,915,778,667,375,380,936,255,754,805,896,
316,860,884,245,485,200,103,944,450,659,030,226,577,885,080,315,491,888,958,
542,116,967,689,547,751,918,255,244,328,815,606,520,919,316,821,750,462,525,
213,560,656,548,012,846,484,998,347,918,276,433,706,821,495,672,209,668,639,
507,843,860,925,716,554,130,464,242,756,026,311,408,861,361,897,106,520,820,
897,073,122,048,700,237,891,123,699,330,157,070,014,117,368,979,294,898,187,
345,883,984,633,054,625,264,004,444,890,036,490,713,534,451,054,855,227,506,
543,013,767,034,536,727,442,740,845,663,605,376,201,365,451,549,484,997,751,
531,470,229,157,487,586,272,157,773,229,939,998,598,588,664,189,253,001,937,
812,653,516,703,402,712,601,512,961,703,170,263,771,443,556,685,636,522,942,
019,988,155,177,226,415,820,108,026,301,155,195,385,849,971,975,653,439,991,
077,845,330,222,679,582,703,919,871,798,171,891,523,382,447,960,908,970,074,
816,667,717,242,247,645,149,858,704,170,530,289,059,605,397,751,838,683,972,
455,630,973,096,511,527,162,193,564,975,826,444,707,666,721,478,044,028,975,
828,553,793,266,326,299,306,698,071,075,303,869,090,966,447,587,672,053,234,
396,901,577,750,161,294,266,529,555,267,003,070,100,011,463,909,942,789,418,
872,775,987,622,389,497,615,118,175,006,383,171,257,444,299,489,587,008,961,
106,740,965,674,669,716,221,235,254,904,292,562,686,882,758,088,218,505,566,
178,653,010,202,835,850,496,231,051,427,935,380,715,300,637,017,226,834,353,
346,597,332,556,530,226,440,203,191,620,978,048,520,436,041,095,583,361,142,
016,521,778,534,689,553,563,705,655,512,487,437,929,802,119,427,414,390,767,
108,842,321,806,537,846,101,830,961,143,135,641,519,930,244,111,810,714,612,
117,010,224,295,619,336,767,848,873,205,716,137,851,737,616,381,107,340,620,
335,210,417,661,652,075,260,862,920,030,120,971,543,761,573,605,634,163,061,
705,652,719,458,781,266,740,639,336,744,707,575,872,165,500,218,794,708,220,
163,166,243,878,642,828,714,703,852,838,092,751,060,128,010,529,050,161,464,
576,419,772,120,031,303,835,626,812,253,701,168,851,697,321,664,046,819,444,
265,622,823,645,414,612,034,385,102,981,928,902,394,151,589,177,672,757,851,
128,810,342,424,798,467,884,870,077,843,229,322,751,037,407,762,387,531,027,
882,287,130,875,084,722,768,862,139,529,171,918,440,380,312,499,164,688,969,
318,831,711,427,901,961,184,175,104,871,644,911,368,558,196,973,162,827,002,
630,790,099,680,986,821,021,495,312,401,986,974,933,552,069,438,273,215,785,
470,326,818,209,324,980,597,306,031,549,710,740,577,962,500,525,902,224,356,
629,861,135,313,439,605,788,096,007,227,090,528,428,542,536,004,907,730,459,
122,075,992,358,261,121,582,966,324,994,417,035,698,362,239,227,126,326,048,
818,514,568,189,627,385,587,710,186,148,985,188,125,117,017,530,305,043,958,
910,725,682,497,361,642,658,315,854,015,391,063,517,150,036,865,071,188,332,
772,020,707,740,554,415,064,810,487,339,227,548,377,545,253,717,160,032,217,
065,668,909,177,908,630,029,332,253,433,472,534,916,510,750,317,356,047,451,
052,504,231,206,814,624,661,023,720,655,380,854,911,289,946,062,521,990,948,
514,767,798,137,769,789,429,443,402,256,295,328,805,015,835,914,029,203,345,
053,310,640,350,139,238,547,980,548,439,470,724,346,019,976,566,687,758,175,
918,904,264,705,250,973,576,264,090,758,085,966,260,824,697,217,550,146,823,
206,381,215,977,605,455,405,360,356,248,568,788,978,753,268,894,509,162,966,
855,600,111,368,527,801,522,796,223,789,202,078,342,702,412,908,941,037,765,
972,469,515,982,342,627,038,042,134,199,484,867,246,935,766,192,713,771,282,
142,457,654,530,537,036,874,220,314,832,247,148,194,640,202,969,658,058,936,
363,535,416,220,886,386,039,032,442,258,312,833,825,510,343,597,474,651,743,
676,577,108,046,106,889,186,229,199,235,964,592,565,161,396,846,160,968,371,
980,013,595,947,709,612,194,604,985,449,205,558,528,569,288,052,396,236,151,
526,149,401,111,797,949,310,561,202,621,716,889,854,249,359,571,975,306,272,
691,297,254,336,102,983,419,174,080,375,525,434,135,406,749,622,800,631,928,
419,039,929,504,191,463,343,676,359,967,869,305,160,619,905,498,381,775,768,
908,900,300,701,554,149,362,087,251,555,899,954,798,909,250,484,569,770,826,
305,607,460,415,756,532,824,542,795,029,156,369,100,081,001,427,150,780,726,
137,088,937,922,114,059,019,362,731,996,392,798,941,866,443,484,184,228,362,
476,531,894,134,620,231,319,898,493,838,328,668,605,044,628,403,000,574,742,
153,518,210,268,014,558,534,949,866,789,989,322,890,888,174,028,453,529,833,
634,860,792,836,820,672,911,605,306,720,369,221,730,660,201,920,270,059,417,
324,859,291,854,969,683,473,512,883,217,762,842,171,036,007,473,879,931,464,
822,848,812,553,430,636,201,613,484,254,521,791,511,205,166,369,931,127,164,
011,039,016,830,751,052,563,872,224,882,878,503,424,339,480,642,905,968,701,
132,302,589,801,957,864,461,243,513,087,376,242,802,246,153,149,265,530,958,
522,952,426,078,253,617,655,025,812,245,629,924,002,575,212,538,462,272,126,
531,115,150,151,097,406,763,893,428,820,671,194,091,501,242,306,225,441,180,
612,204,291,616,705,191,912,111,511,499,405,923,531,869,804,337,398,967,126,
885,449,645,794,202,759,088,724,538,557,903,821,424,175,431,004,010,651,652,
212,810,942,916,378,791,728,061,883,847,700,156,855,564,857,400,106,928,926,
578,512,892,282,476,424,441,232,339,539,809,502,059,123,312,109,668,588,506,
745,214,468,901,154,267,015,152,993,428,993,037,146,381,720,573,289,194,070,
731,901,289,954,996,377,116,239,451,527,178,386,767,232,124,259,381,245,476,
947,173,223,019,048,058,507,906,958,803,235,417,150,939,482,956,039,132,986,
748,707,906,747,136,799,940,586,812,679,262,016,496,227,031,631,888,766,105,
783,605,219,842,267,893,451,118,454,660,549,269,994,873,680,536,892,278,714,
758,202,891,477,938,721,192,857,939,729,703,336,958,073,836,390,823,960,235,
465,566,993,121,840,365,035,105,531,183,890,523,374,119,069,565,468,661,279,
326,934,145,088,922,735,708,173,434,358,970,832,460,241,343,825,059,793,382,
289,279,288,752,255,694,106,110,727,483,028,171,602,655,213,949,313,612,622,
483,150,603,464,152,873,750,860,509,959,025,044,839,744,220,422,402,999,852,
079,184,893,960,102,428,335,396,901,540,118,008,846,718,000,314,908,095,171,
806,888,968,062,712,688,750,552,470,548,457,416,518,370,111,801,414,683,050,
276,192,807,548,846,725,128,070,292,866,685,621,353,694,025,895,136,675,832,
945,843,043,169,794,658,382,385,375,612,750,175,727,693,265,193,816,740,688,
724,273,012,337,531,360,344,200,589,409,104,085,831,949,882,097,045,630,284,
164,736,214,581,303,931,807,873,954,427,914,227,580,167,280,734,268,368,904,
925,331,995,863,623,006,256,456,007,277,075,104,802,366,344,007,711,858,065,
282,205,107,094,763,682,428,856,791,630,916,271,047,476,575,731,774,786,907,
768,996,847,852,973,472,209,347,961,296,473,813,015,995,640,150,371,299,505,
811,699,586,935,166,305,990,190,423,719,378,121,336,690,121,341,855,191,815,
807,181,831,191,756,443,218,780,153,558,654,972,061,833,351,642,280,802,898,
859,545,573,485,440,915,279,100,721,002,608,548,341,501,682,100,202,197,668,
001,083,755,807,867,245,038,666,768,529,639,630,459,021,043,880,998,120,404,
530,056,364,605,346,664,267,675,562,344,631,071,326,953,920,085,846,124,306,
396,633,992,628,237,753,678,048,071,916,438,389,495,385,995,887,988,285,010,
361,645,587,937,127,760,405,622,304,051,854,539,890,949,656,569,333,826,445,
243,420,047,169,664,806,124,154,924,533,911,192,200,775,366,264,104,480,017,
333,738,329,801,097,469,385,671,499,843,989,182,681,794,483,856,574,442,580,
139,912,025,561,794,402,739,959,097,034,457,027,517,261,863,695,100,042,775,
685,136,821,728,979,431,034,897,533,843,524,818,333,524,534,441,116,128,299,
817,867,832,693,514,984,487,349,265,210,773,137,508,960,664,971,958,929,617,
080,148,778,254,795,128,986,744,167,523,803,091,604,923,406,307,645,751,280,
430,255,914,983,468,095,422,171,746,766,250,262,111,061,772,064,664,161,479,
204,083,838,716,398,361,445,065,898,429,264,771,969,558,690,416,509,553,613,
386,839,898,791,042,369,257,336,009,782,528,455,570,514,277,140,074,652,804,
672,934,609,237,753,027,435,445,941,343,610,391,816,688,827,748,201,006,809,
676,226,748,396,021,272,034,092,795,250,243,760,407,782,750,529,685,920,646,
132,945,196,219,613,694,248,667,098,951,348,267,300,016,079,493,433,077,883,
396,010,713,442,359,887,112,852,246,209,679,816,960,459,072,885,232,974,882,
801,743,759,902,611,227,969,500,727,488,927,649,525,453,956,563,506,048,449,
287,613,863,368,732,509,769,715,210,361,844,294,919,939,660,340,734,002,021,
363,829,141,320,756,504,653,058,161,528,739,829,495,094,415,922,226,976,132,
458,996,131,890,412,027,448,929,909,707,111,491,279,969,987,503,855,694,561,
589,876,246,669,639,047,370,983,452,904,758,853,843,103,400,081,748,296,311,
041,840,779,330,028,781,398,372,595,610,270,147,655,656,912,548,771,322,136,
364,056,599,327,081,575,762,307,879,612,331,034,153,854,744,589,871,191,472,
141,485,491,950,487,043,686,067,150,603,879,046,775,545,208,373,379,105,478,
508,869,125,471,526,246,000,717,310,864,976,216,101,479,531,385,751,836,460,
697,889,865,093,236,122,475,310,541,652,228,330,926,097,142,076,684,497,497,
403,988,425,461,122,531,841,628,290,516,163,302,241,089,782,557,767,872,758,
678,822,086,433,871,377,829,498,028,168,789,015,672,009,392,484,805,441,576,
618,584,795,613,046,312,817,942,991,895,919,724,892,613,773,936,688,714,430,
023,573,771,574,400,431,211,046,299,208,134,004,933,118,707,700,139,512,410,
340,197,070,753,824,437,466,048,760,241,344,101,904,028,499,277,064,590,574,
208,913,075,562,874,036,157,694,381,343,856,577,756,941,448,619,097,146,166,
777,088,582,465,097,094,784,980,489,388,055,389,302,737,465,554,175,715,423,
935,409,899,604,177,242,897,955,459,898,692,850,700,095,800,748,768,881,045,
779,500,756,527,780,459,222,502,909,398,857,672,672,312,446,616,587,796,911,
063,673,680,039,908,601,493,984,117,341,546,371,947,319,394,784,045,601,064,
128,879,928,960,855,346,188,931,034,802,090,980,598,806,433,347,555,244,968,
283,964,813,373,538,988,948,791,942,775,682,683,738,466,231,178,695,468,691,
841,205,278,754,152,377,911,445,939,203,466,780,219,591,740,786,380,090,567,
361,984,920,600,422,114,688,954,899,768,613,255,840,160,051,787,841,989,499,
407,427,181,142,856,925,969,668,751,568,676,029,824,653,583,215,841,859,147,
014,980,632,008,399,524,318,236,911,596,175,679,706,884,794,638,946,543,090,
452,478,974,804,087,692,256,134,679,587,568,822,145,583,010,848,107,194,170,
903,626,641,797,521,375,480,636,746,363,970,996,381,222,680,405,431,400,526,
525,648,270,982,517,405,599,105,552,353,406,192,811,723,520,907,288,315,221,
511,732,197,275,207,291,517,160,184,380,842,136,520,156,178,246,251,903,138,
160,410,103,250,393,921,853,696,023,317,551,339,166,922,906,591,258,975,028,
741,466,617,785,811,514,875,680,532,950,917,846,771,715,104,049,466,725,587,
777,427,374,844,896,219,202,828,338,337,325,780,044,332,467,368,098,024,757,
195,211,390,895,268,246,589,319,762,112,802,723,144,381,135,826,854,064,770,
971,790,173,819,880,488,918,581,692,201,329,939,400,951,187,824,680,163,718,
411,485,115,049,024,383,133,929,591,984,753,684,483,078,336,065,522,687,325,
373,025,783,589,250,195,786,421,964,170,171,664,752,595,733,264,767,997,522,
747,931,222,561,084,440,994,246,889,216,516,553,642,825,538,816,142,148,521,
203,811,848,942,213,330,004,980,798,076,199,758,256,826,266,588,444,748,140,
538,529,154,914,523,663,143,860,281,808,765,020,365,728,768,925,722,905,853,
984,001,693,814,597,366,622,080,282,470,651,373,235,885,231,404,013,994,264,
706,015,687,266,744,883,376,383,591,864,977,643,601,047,947,362,607,579,096,
532,357,944,842,873,120,436,136,496,185,215,515,555,095,212,898,668,395,362,
203,658,181,787,419,062,096,881,383,543,108,026,288,839,768,653,437,837,371,
970,405,320,686,989,794,674,088,331,630,840,508,869,181,381,805,701,466,065,
632,375,059,485,822,486,384,685,403,246,491,063,541,552,325,402,702,263,047,
857,236,729,821,843,543,165,440,909,113,070,873,440,363,308,556,715,253,424,
914,715,240,123,343,340,587,646,108,444,851,012,141,324,116,655,775,843,795,
857,947,171,652,749,014,180,344,077,612,074,330,130,767,267,059,033,246,818,
993,976,698,557,545,485,306,526,246,379,727,190,537,288,911,042,969,215,446,
635,748,789,760,125,780,802,894,837,782,557,198,095,613,477,446,453,186,118,
333,570,014,427,967,295,348,904,237,866,048,377,936,445,131,279,671,023,052,
288,293,153,121,064,405,576,010,518,427,482,950,171,289,321,618,978,510,622,
866,059,714,271,050,477,549,663,749,416,961,815,227,622,835,840,528,248,926,
621,641,672,264,182,384,196,189,948,534,619,368,343,207,384,910,364,443,105,
245,133,578,698,435,420,784,373,984,358,862,393,907,974,554,816,669,214,393,
316,558,134,126,038,248,486,506,913,903,173,054,824,659,308,413,032,685,813,
895,887,625,161,008,530,092,773,637,710,831,336,879,500,438,159,145,244,406,
738,609,770,035,969,807,925,142,597,002,694,512,369,809,608,057,950,068,808,
677,087,714,263,104,273,670,734,636,041,117,901,010,424,616,431,894,068,617,
997,194,584,407,884,037,886,580,733,042,139,715,164,963,759,133,985,306,156,
802,539,580,842,990,600,205,521,733,477,227,525,813,507,429,444,129,456,887,
409,019,286,126,517,517,548,764,788,244,190,711,643,151,351,432,634,792,920,
503,226,994,515,451,389,542,999,793,863,420,938,616,848,836,106,374,327,640,
540,352,046,762,321,028,250,828,936,812,062,042,858,462,314,322,555,399,745,
201,356,142,283,539,817,508,061,953,728,584,685,727,039,549,478,820,959,518,
590,678,710,960,761,846,151,551,131,975,543,085,094,909,767,086,540,955,252,
031,991,787,134,815,284,747,936,509,505,311,308,015,194,857,151,204,248,571,
712,890,374,256,419,522,509,758,707,033,108,170,681,874,580,325,167,449,268,
265,966,595,809,257,658,640,041,740,480,962,485,114,707,442,716,817,443,381,
243,530,610,695,589,431,085,502,486,384,262,117,908,563,170,311,099,320,952,
652,832,746,074,860,074,321,860,523,543,773,972,914,822,712,614,291,547,086,
511,719,604,119,763,129,791,851,007,031,821,276,885,019,873,212,448,983,690,
141,331,212,661,477,402,723,938,694,103,454,608,192,564,948,598,521,881,968,
972,874,063,754,872,158,609,572,636,300,567,238,638,285,434,355,408,755,192,
746,261,572,979,050,026,956,231,963,753,228,882,987,519,142,941,290,084,895,
706,885,790,028,114,740,153,906,964,756,133,040,680,036,731,733,186,506,942,
461,284,503,550,104,326,691,430,453,305,489,654,358,746,233,398,073,163,220,
324,907,684,963,912,062,753,969,486,187,760,979,401,871,363,300,738,092,087,
529,801,316,314,337,588,317,872,139,831,270,621,883,884,509,442,322,896,261,
247,557,148,589,941,609,159,123,700,975,884,542,749,189,230,837,406,288,343,
965,222,106,236,562,255,330,662,412,069,887,407,385,873,004,428,531,592,292,
501,103,340,173,722,542,862,952,914,980,655,537,984,512,782,224,062,479,821,
839,815,032,339,016,903,167,196,887,752,790,098,736,499,512,212,290,758,724,
180,155,773,955,153,266,460,203,363,190,839,450,692,134,530,715,572,962,202,
309,712,296,335,701,189,071,052,463,389,365,749,423,651,968,175,659,967,485,
305,362,511,852,897,441,853,545,052,501,073,909,834,400,314,731,436,001,805,
308,151,928,138,724,204,714,396,349,058,768,819,838,996,089,041,567,899,913,
525,024,453,908,144,682,337,580,728,625,634,411,735,510,492,737,949,877,201,
468,327,571,035,350,822,134,991,800,963,726,922,009,963,880,934,790,937,819,
588,023,993,551,849,212,416,535,359,168,056,719,059,162,473,679,701,573,930,
271,382,676,782,553,989,116,489,284,642,845,505,117,602,968,101,730,805,222,
997,420,169,171,900,443,650,907,801,214,258,926,488,192,996,114,091,606,407,
359,312,659,523,052,710,275,577,398,917,714,316,301,891,040,634,900,751,796,
163,549,024,224,398,664,366,358,296,997,223,670,831,963,882,849,003,709,284,
203,574,226,578,182,472,376,865,030,696,200,063,338,763,490,578,336,325,986,
656,939,136,868,836,347,000,539,437,180,864,656,868,962,048,448,779,222,847,
647,537,815,371,794,242,597,977,122,155,920,940,948,833,837,194,171,804,564,
744,371,259,806,796,971,303,717,507,813,916,854,170,200,697,494,030,984,208,
166,092,587,560,375,856,434,526,150,222,042,469,665,664,439,640,985,351,557,
141,900,604,188,162,774,489,911,183,873,135,922,423,632,170,691,897,657,686,
063,169,708,883,080,295,520,786,181,660,063,241,611,192,516,826,706,532,627,
211,440,932,027,467,120,607,676,286,895,840,783,313,417,944,918,902,086,508,
079,108,837,824,161,285,317,322,570,632,281,067,008,330,341,647,381,886,495,
877,343,386,680,226,032,327,316,865,843,294,218,384,493,131,452,284,978,849,
053,503,304,559,813,460,282,336,789,499,195,328,406,869,715,892,696,691,113,
735,375,506,323,088,411,704,421,800,562,117,819,097,798,944,799,434,583,381,
178,759,470,753,882,809,818,155,439,029,908,453,489,438,595,327,928,002,281,
168,325,063,985,350,635,906,270,720,442,827,477,960,675,847,427,806,372,389,
667,348,427,298,244,047,509,620,062,387,310,056,767,174,993,113,061,120,186,
148,851,965,866,410,755,602,491,221,977,143,849,842,518,527,394,218,789,676,
139,321,926,084,450,452,842,648,036,039,647,521,852,615,559,769,574,626,002,
571,701,853,631,427,349,345,319,622,260,621,271,845,969,341,385,320,999,669,
594,401,433,665,659,181,951,374,443,607,339,215,542,033,684,002,599,338,599,
562,490,122,025,121,280,880,307,049,963,940,728,062,372,030,445,407,001,314,
911,500,800,564,676,853,729,931,542,712,325,607,172,936,392,022,842,520,382,
990,293,383,819,616,565,903,805,766,742,285,890,542,693,311,835,585,375,874,
388,148,334,959,857,548,338,667,005,159,322,799,451,251,170,453,681,629,247,
299,200,487,731,012,372,633,208,186,238,801,890,354,158,277,351,499,234,795,
759,709,472,909,433,942,946,035,021,719,867,078,498,149,425,610,845,177,429,
959,009,897,955,669,772,161,174,016,312,495,040,435,570,526,479,004,238,505,
435,778,361,596,391,428,350,237,053,429,175,536,159,927,925,322,811,685,625,
370,290,127,076,217,905,455,960,202,370,138,040,754,089,701,204,518,636,631,
119,750,918,207,444,137,300,097,352,111,017,529,028,349,752,873,112,332,421,
833,865,420,144,225,823,362,893,322,006,592,059,545,378,424,016,214,828,537,
327,837,309,785,164,357,212,432,750,284,142,991,810,551,942,039,125,546,189,
994,905,737,851,653,202,588,054,320,445,988,549,242,022,247,005,340,020,256,
175,211,896,786,144,854,525,086,240,045,851,357,479,265,150,018,122,167,986,
131,888,591,838,154,715,702,476,564,744,219,400,845,112,520,738,806,226,601,
980,328,222,773,581,319,500,352,519,342,245,012,359,104,036,482,233,444,032,
378,831,980,153,827,463,760,119,747,004,326,471,496,708,361,155,562,818,137,
874,106,601,288,754,214,869,222,886,460,920,590,626,622,080,801,221,914,598,
976,396,975,097,833,629,860,758,619,296,181,526,307,255,280,615,677,010,485,
812,511,723,491,991,170,386,380,686,247,154,265,773,942,678,775,354,447,919,
084,142,500,533,447,877,505,593,378,678,527,224,621,191,674,157,942,723,081,
671,518,057,889,301,995,651,072,329,574,453,647,860,331,730,571,178,170,558,
573,823,370,081,551,706,560,838,759,282,867,517,661,143,900,529,472,221,390,
088,226,146,709,099,784,092,373,398,344,520,299,671,504,429,790,940,788,697,
387,576,469,947,557,282,739,012,173,155,895,027,582,828,158,739,208,684,710,
743,652,366,278,302,991,573,151,088,934,623,076,163,758,769,294,023,404,988,
687,760,553,990,178,907,706,057,955,930,309,305,616,906,113,299,095,650,559,
705,690,241,686,572,060,332,575,092,761,483,197,234,211,040,909,998,771,534,
592,347,488,669,365,594,353,310,458,691,496,173,574,546,281,692,130,519,421,
854,583,850,079,678,336,330,305,194,998,412,182,941,160,065,261,116,943,838,
318,172,227,846,740,114,743,771,618,714,621,567,378,309,471,118,752,283,311,
061,496,994,279,338,778,429,509,979,602,372,913,584,553,565,551,884,542,877,
205,474,378,366,312,710,668,879,178,088,967,161,313,262,937,220,964,611,549,
278,928,337,106,790,903,068,111,495,505,868,776,783,333,716,944,661,774,004,
682,576,382,610,070,850,347,865,017,787,311,203,007,456,300,759,506,953,320,
299,263,911,881,962,257,100,877,421,989,747,396,356,555,662,896,138,889,203,
272,299,579,184,210,325,325,653,084,305,364,851,199,200,321,862,554,296,861,
152,260,319,235,098,243,825,235,230,880,906,807,312,857,863,352,181,550,440,
626,818,804,150,032,343,027,840,908,446,288,574,004,578,317,637,952,841,560,
195,029,482,154,849,398,490,812,329,870,780,485,633,008,755,097,788,632,142,
158,943,035,931,512,999,986,967,201,647,658,659,479,182,818,842,699,409,082,
604,231,819,129,022,421,572,320,178,335,213,808,371,880,406,443,787,283,643,
703,031,327,281,746,590,260,171,844,878,551,432,693,130,580,411,268,925,681,
331,225,065,854,412,845,365,281,997,074,087,009,975,993,347,781,125,440,657,
444,770,145,217,776,229,700,748,143,787,428,131,129,532,098,510,368,297,552,
738,044,004,005,102,796,266,118,667,612,436,825,588,997,848,315,438,317,186,
906,241,746,490,436,401,932,615,947,725,815,854,145,079,426,046,869,096,383,
911,975,413,380,537,580,315,614,498,352,035,171,762,128,264,066,538,702,614,
801,195,715,847,852,818,058,256,100,376,613,033,068,326,139,607,459,350,239,
364,296,348,410,360,656,974,462,448,790,092,747,243,707,787,954,125,346,597,
234,436,876,168,707,545,477,657,763,202,768,738,551,172,371,618,654,362,366,
360,778,417,776,348,323,307,292,485,954,879,501,058,803,992,009,208,614,432,
981,756,735,688,654,943,333,425,969,077,122,568,193,626,629,200,138,021,699,
150,148,062,749,442,839,973,502,140,656,917,376,685,642,937,153,354,049,177,
952,101,886,856,475,164,072,263,615,109,559,512,581,908,564,605,201,213,144,
004,088,830,939,336,783,337,620,787,962,305,661,865,768,425,422,754,073,287,
581,643,120,664,217,790,068,109,003,647,504,993,278,941,952,626,214,035,343,
090,324,916,077,344,780,044,993,639,410,380,193,129,431,684,117,395,979,471,
043,323,975,136,972,211,868,866,947,809,831,651,653,153,698,992,853,686,139,
925,205,464,164,641,653,615,531,811,573,196,065,018,104,030,396,568,200,222,
483,805,980,776,255,094,595,655,570,543,501,461,095,672,580,616,049,839,264,
035,943,875,476,980,425,857,096,311,740,682,388,873,534,501,760,347,423,573,
181,206,302,377,634,197,952,065,050,187,317,772,304,013,083,003,132,528,693,
413,421,740,340,616,074,144,139,804,932,126,125,928,082,830,272,819,541,194,
436,809,712,234,577,711,517,318,578,339,680,118,384,331,719,782,980,544,689,
925,837,212,413,289,605,350,748,509,763,394,103,707,451,401,968,425,882,397,
375,594,115,492,189,957,330,110,141,296,511,333,809,974,977,609,439,422,068,
715,163,402,347,820,864,672,018,420,526,369,462,797,711,547,765,091,089,974,
517,295,951,643,363,532,566,488,273,175,007,267,102,031,264,959,844,103,116,
841,391,598,264,558,514,052,799,282,958,235,832,126,317,025,101,999,593,147,
555,453,068,933,999,008,401,281,307,441,571,040,676,756,674,443,802,226,476,
501,224,739,442,617,907,268,686,811,815,019,282,603,446,341,173,295,389,561,
783,429,310,933,961,142,379,174,365,001,237,479,559,723,208,881,611,013,052,
396,631,921,249,520,328,636,951,079,497,590,893,578,459,247,339,911,431,371,
288,937,652,052,730,876,633,669,739,121,792,516,512,903,433,477,818,283,643,
220,836,115,524,112,732,542,259,392,775,578,564,772,486,368,923,908,263,200,
162,636,400,792,928,768,612,704,755,648,530,019,134,739,492,161,763,829,743,
061,397,098,850,406,430,464,619,189,036,763,644,917,078,032,729,039,952,409,
665,200,229,139,224,864,265,085,870,268,721,191,352,448,592,031,428,791,217,
724,290,002,380,230,892,285,647,248,908,906,073,754,807,967,965,761,991,823,
692,780,134,090,988,298,585,995,648,052,133,497,572,185,795,943,084,558,919,
496,021,227,777,445,670,725,265,216,035,084,979,335,791,458,733,327,188,183,
446,316,682,646,166,020,872,204,462,009,549,274,245,803,892,330,649,493,278,
464,162,530,732,693,305,702,761,999,337,767,439,039,583,238,595,543,836,686,
937,116,286,207,825,123,926,451,395,895,351,642,123,647,038,493,862,162,860,
268,801,869,888,200,503,234,793,466,228,319,866,305,450,305,953,744,100,829,
833,798,906,960,897,888,486,802,216,586,164,688,160,896,839,243,963,659,235,
011,011,853,831,553,822,587,914,321,739,763,320,162,205,581,292,456,471,083,
507,838,001,957,217,288,442,648,253,917,401,515,611,531,213,537,210,841,369,
153,563,031,643,280,698,637,720,440,695,206,664,187,202,017,147,516,628,691,
044,960,919,637,314,738,866,178,087,173,068,894,339,828,818,303,387,087,037,
335,840,801,530,900,427,871,124,455,758,945,989,927,502,413,178,996,793,823,
332,457,134,375,803,263,754,146,330,275,113,972,776,076,384,224,807,360,418,
251,629,307,926,593,485,597,201,991,186,276,670,137,076,370,241,495,480,212,
528,876,293,444,102,038,498,142,019,195,016,498,882,515,753,056,247,002,846,
991,316,928,443,982,248,355,813,030,256,509,948,893,722,869,089,614,554,414,
307,354,803,931,884,021,796,041,646,112,799,537,341,265,027,427,548,345,058,
340,504,663,147,297,682,004,815,656,135,889,777,257,546,429,100,002,346,650,
301,443,389,043,556,454,952,815,071,005,694,634,122,818,807,166,015,972,891,
747,809,144,522,650,868,282,517,514,586,393,423,409,310,676,503,914,456,357,
086,237,356,972,936,060,305,945,762,108,746,310,821,667,490,938,112,711,414,
948,991,904,650,682,037,587,927,281,299,897,858,268,388,315,491,645,579,283,
519,117,726,882,338,583,742,663,152,487,035,667,346,075,697,818,802,755,180,
118,852,645,419,959,495,098,671,125,298,680,654,513,187,902,273,654,274,714,
041,060,284,131,053,170,606,117,126,378,114,804,503,018,733,672,250,069,177,
059,683,559,747,075,040,376,849,116,908,970,565,018,531,315,816,236,944,480,
275,044,670,380,353,102,803,068,429,057,086,878,831,534,096,035,669,491,460,
671,276,069,077,308,602,479,752,269,082,133,511,671,473,944,590,730,720,878,
085,691,113,750,892,073,282,557,171,031,276,924,462,757,452,700,195,717,663,
705,941,718,005,518,615,153,541,088,715,036,063,067,465,881,983,949,683,714,
595,836,426,732,826,181,975,367,470,178,606,424,194,759,210,183,365,704,112,
801,137,905,161,728,918,676,807,212,010,438,866,857,956,268,218,066,509,824,
990,441,568,074,707,537,717,511,706,599,549,412,798,562,313,100,446,379,215,
321,218,325,533,139,371,495,119,113,367,616,262,723,331,518,282,711,953,575,
384,280,450,295,505,492,319,431,553,392,062,290,993,570,171,070,893,476,248,
623,482,560,770,396,769,188,773,826,945,187,326,966,475,321,484,362,954,963,
806,999,343,621,971,356,671,104,079,461,775,712,503,148,954,964,668,016,228,
877,071,310,471,543,054,433,970,005,990,310,186,207,705,563,559,192,855,096,
747,849,644,506,938,453,035,897,480,594,263,849,360,289,720,684,513,083,877,
527,292,366,208,144,199,135,945,928,009,522,721,622,154,099,564,966,796,551,
177,701,862,913,151,435,049,695,646,985,425,523,707,918,945,447,318,805,635,
791,979,720,174,138,719,000,854,341,562,886,678,160,602,666,046,563,290,431,
194,761,285,956,182,554,295,513,473,735,598,549,311,435,945,093,247,849,374,
106,329,513,100,577,171,907,640,715,787,165,905,874,940,367,004,901,232,659,
918,984,541,739,006,275,804,398,875,152,860,316,464,639,480,674,101,409,834,
957,438,672,120,671,980,905,232,414,139,887,483,661,528,159,963,714,402,096,
330,272,087,654,410,578,377,385,545,652,092,340,491,172,106,062,569,818,666,
663,019,472,785,307,261,690,094,079,132,763,259,231,340,731,496,174,104,241,
298,306,423,187,455,569,115,266,277,263,341,902,523,295,761,257,953,103,710,
843,476,321,952,228,922,666,813,796,172,008,746,384,342,117,515,635,558,109,
035,762,157,336,186,484,468,162,425,043,062,344,193,747,185,572,579,768,411,
676,647,256,260,284,620,828,635,311,742,137,937,675,565,309,922,393,894,329,
707,786,320,642,640,464,777,744,426,140,230,272,599,249,803,018,541,358,879,
478,507,802,674,858,324,094,167,310,182,259,011,381,957,245,960,854,298,704,
479,507,304,563,887,179,761,200,008,926,778,065,056,675,092,748,834,705,350,
984,484,346,903,549,749,780,128,045,159,867,064,509,212,928,210,333,817,791,
840,059,810,151,286,811,049,321,607,704,925,934,414,401,339,118,258,479,842,
638,109,382,015,200,762,126,490,232,574,962,333,745,549,330,160,214,960,145,
974,157,392,921,273,682,005,339,002,852,173,229,343,045,686,593,793,299,538,
346,290,029,985,570,125,084,645,149,202,045,249,340,784,154,685,310,901,753,
062,303,416,456,321,519,015,112,996,308,281,427,254,023,079,609,400,301,710,
990,499,985,345,401,830,318,725,912,279,180,836,454,507,250,618,697,033,485,
008,296,881,819,819,937,609,467,038,114,018,816,302,953,274,112,505,033,574,
581,969,394,013,738,056,655,764,874,071,355,878,189,175,268,867,446,236,393,
632,733,802,002,508,176,551,956,286,679,047,621,718,515,764,044,641,737,316,
353,423,672,462,460,784,858,923,229,659,107,608,706,197,133,758,508,486,988,
498,482,468,931,848,408,985,366,871,417,073,713,715,131,427,011,164,272,968,
725,840,528,472,163,414,777,640,887,093,294,278,071,586,740,959,063,120,136,
786,088,139,816,117,482,862,284,898,054,330,046,976,144,722,226,040,275,110,
101,743,663,735,462,590,210,705,200,013,248,952,692,188,626,096,452,149,074,
697,142,254,836,288,221,794,812,777,065,449,715,726,376,124,783,485,856,407,
511,792,661,353,086,058,456,107,157,195,125,868,981,266,082,782,540,331,253,
216,956,275,697,428,180,061,380,489,244,939,855,324,722,958,400,304,490,658,
347,252,207,516,582,616,417,459,346,494,722,429,504,545,107,666,591,103,978,
557,617,847,360,729,323,966,447,897,878,121,786,155,347,940,666,276,840,004,
309,225,560,235,157,197,610,641,220,107,221,839,513,061,457,868,887,562,296,
130,928,913,057,133,537,841,458,066,884,232,132,436,939,970,223,206,716,625,
336,604,944,455,334,550,469,650,270,644,594,283,548,224,808,772,239,284,306,
010,427,399,739,826,175,189,198,345,931,369,550,195,561,137,224,783,717,655,
045,900,564,252,347,011,478,569,779,555,851,775,755,675,969,325,391,055,642,
055,998,842,922,195,218,710,256,463,788,900,448,767,321,338,716,543,750,819,
626,011,704,647,292,706,150,506,874,954,720,153,555,899,233,477,499,669,990,
790,990,119,416,406,803,792,990,482,653,587,591,462,102,315,502,805,978,338,
194,572,738,852,183,639,290,874,505,502,373,729,502,752,139,697,102,185,540,
060,903,599,981,520,832,918,186,913,181,604,137,297,745,806,686,623,047,577,
233,511,134,733,092,039,140,514,941,626,010,985,772,514,165,808,886,811,280,
966,013,489,445,887,051,100,541,916,121,561,091,500,543,225,610,119,381,457,
173,980,242,429,084,965,608,169,717,332,870,818,759,851,183,809,002,077,088,
607,435,873,990,741,829,241,023,840,121,073,223,351,313,176,684,001,445,672,
955,632,000,783,485,035,609,987,928,903,937,325,075,411,870,982,315,522,134,
636,188,772,965,234,767,527,780,455,349,269,361,838,871,072,782,313,287,921,
171,834,995,763,165,672,654,488,736,311,419,465,303,723,161,012,499,413,202,
435,283,045,431,682,554,258,534,360,327,423,468,265,729,840,833,427,146,470,
742,991,529,346,636,227,018,654,055,313,168,952,928,703,536,804,902,148,687,
435,103,506,544,600,161,352,994,171,935,034,233,852,304,736,729,583,495,277,
619,452,955,617,135,886,725,527,267,331,249,499,407,006,738,816,435,867,434,
553,570,571,533,445,899,765,844,108,342,985,045,392,836,940,736,759,396,320,
806,169,837,043,941,609,946,375,782,453,467,419,363,194,613,158,784,511,275,
227,780,682,015,647,295,668,324,528,842,384,833,171,770,277,198,768,952,904,
797,154,516,107,119,494,667,435,061,127,539,512,388,580,370,086,446,855,811,
540,402,828,708,896,247,377,530,361,076,612,180,772,183,739,546,446,823,080,
282,461,379,559,298,595,648,726,692,001,661,193,185,784,346,409,091,353,334,
535,753,629,421,679,406,591,641,493,317,190,849,659,089,859,064,155,276,622,
775,437,628,218,750,467,689,404,739,572,177,356,248,435,970,258,945,744,702,
839,055,468,578,865,611,696,522,900,380,999,475,625,480,718,339,896,336,174,
489,589,293,120,419,768,845,722,365,721,982,574,978,929,366,944,032,038,351,
439,166,852,598,287,894,561,542,787,173,854,831,688,720,549,506,153,934,392,
564,488,334,343,584,557,096,972,673,270,967,516,499,858,280,302,555,106,967,
448,191,483,171,441,262,145,190,195,469,809,835,611,860,855,305,235,118,121,
392,819,688,277,456,372,954,478,297,011,007,986,539,946,685,311,338,057,691,
282,425,009,532,107,935,405,817,117,922,214,612,058,643,173,989,197,015,749,
353,278,383,954,778,536,608,808,447,313,566,212,256,987,877,627,930,645,415,
799,178,879,346,102,826,773,306,529,588,671,903,637,666,268,979,750,688,520,
100,386,269,967,030,384,331,140,121,606,063,578,965,222,701,815,753,551,578,
737,750,893,368,998,377,654,244,700,326,877,926,789,075,510,950,451,565,520,
799,274,954,311,403,041,259,242,270,157,207,614,023,758,155,568,042,020,388,
230,688,722,395,535,131,332,066,874,320,198,530,451,633,971,145,415,787,331,
315,005,931,750,044,163,292,693,059,958,320,838,039,864,131,046,528,156,386,
733,370,033,745,922,656,012,694,548,469,068,674,647,672,527,089,042,123,288,
473,942,026,649,415,430,143,339,086,593,501,458,768,546,520,529,522,238,848,
569,171,174,770,568,229,343,507,426,773,732,221,648,078,736,135,335,124,038,
410,797,363,918,032,338,309,159,896,847,464,417,583,736,262,478,574,529,887,
937,284,915,520,651,262,146,545,575,166,381,684,676,481,628,568,152,001,000,
081,514,812,948,216,409,608,103,042,050,593,622,441,030,439,555,138,878,948,
602,681,098,927,878,784,882,115,643,151,733,359,813,978,252,759,914,012,577,
588,577,994,203,273,522,047,283,249,575,377,916,322,044,542,105,825,230,361,
211,541,627,792,618,893,186,804,196,136,106,510,841,484,767,069,120,346,519,
717,364,913,556,116,312,971,663,307,729,637,889,786,085,367,496,087,907,833,
882,368,720,847,953,639,206,951,651,371,629,976,452,536,765,332,642,491,204,
754,711,300,269,291,310,811,496,759,442,902,773,246,626,228,373,932,856,818,
104,206,472,172,289,374,915,368,821,135,518,326,380,784,562,767,156,043,023,
084,208,123,080,570,560,818,537,068,436,867,365,412,744,564,452,690,524,016,
828,608,696,688,135,657,065,242,722,224,455,683,577,628,125,249,755,221,237,
646,239,869,065,201,086,252,310,007,712,585,062,355,427,505,600,859,144,667,
770,724,665,429,690,505,051,594,625,739,638,493,335,023,230,935,036,999,589,
278,412,175,246,563,502,127,760,166,738,975,551,490,966,421,446,090,068,613,
735,399,273,902,256,575,146,889,083,199,761,862,976,281,009,450,201,111,504,
015,746,959,423,051,802,833,308,812,617,373,823,625,192,407,641,497,064,085,
526,561,823,969,839,573,198,641,303,346,350,082,016,945,909,656,468,350,127,
641,104,179,167,293,373,570,234,266,057,365,584,157,051,913,478,823,951,040,
993,824,938,300,967,294,854,077,988,683,761,272,716,793,215,769,763,848,034,
121,628,269,912,713,351,351,848,913,952,604,458,661,549,604,653,670,598,794,
321,306,607,090,018,187,108,321,894,062,049,983,224,096,768,894,594,094,254,
357,786,890,122,097,653,333,568,537,656,673,958,924,463,559,809,470,047,045,
527,761,205,344,344,572,185,125,874,176,171,894,386,536,960,342,929,744,428,
284,056,661,233,917,112,359,091,129,389,365,472,256,595,268,262,480,186,995,
171,367,660,364,997,961,227,105,084,151,005,235,419,750,291,911,832,642,488,
332,052,651,775,250,101,555,408,619,608,492,022,322,900,991,747,407,239,105,
609,669,728,997,238,266,993,764,721,728,482,866,700,379,061,639,304,203,006,
764,162,642,970,832,095,306,044,027,753,564,066,349,135,341,764,439,307,221,
208,846,323,263,257,074,307,482,378,688,285,120,157,820,223,664,760,412,352,
445,071,769,544,795,684,374,985,197,056,673,333,139,475,870,408,988,853,630,
440,177,094,248,423,058,085,248,643,531,431,039,983,429,996,157,811,318,541,
560,001,651,960,485,784,369,217,279,654,120,250,224,801,115,916,285,299,861,
986,639,828,130,694,631,131,586,416,087,607,697,924,908,370,292,769,650,839,
732,546,790,559,807,649,777,014,239,868,287,582,827,828,851,966,365,328,528,
342,180,450,117,188,268,767,658,927,365,860,298,148,887,620,166,481,464,550,
053,902,585,363,567,346,897,819,011,155,388,860,737,275,280,730,105,222,772,
954,142,454,396,424,141,198,614,393,920,525,899,804,655,399,219,652,364,323,
487,323,932,465,789,078,970,891,967,520,370,884,130,455,225,074,601,309,652,
527,043,133,918,371,833,717,809,707,030,022,569,899,439,530,473,984,780,667,
981,708,972,683,118,176,511,248,331,976,077,387,923,708,264,257,173,068,754,
575,586,197,244,699,504,008,674,890,705,827,242,987,857,558,190,168,856,521,
682,929,948,154,859,082,657,767,794,521,146,245,203,258,610,006,684,006,234,
865,253,314,238,768,321,819,628,641,509,722,149,435,031,177,770,162,966,062,
907,589,799,202,859,754,484,997,256,435,379,555,469,778,095,183,571,905,364,
885,644,183,704,258,236,085,874,397,536,951,254,864,343,593,792,132,336,002,
707,610,820,957,584,580,483,594,673,253,072,856,814,593,636,019,004,268,831,
880,575,248,402,763,754,873,372,613,102,156,420,284,312,524,702,181,612,412,
335,372,056,268,780,788,382,026,253,852,322,891,096,260,118,555,599,291,311,
905,923,491,562,343,483,023,807,152,017,637,969,369,243,009,225,130,198,139,
485,937,847,845,356,840,176,422,589,402,489,458,426,292,131,206,457,637,518,
710,600,002,952,344,908,551,390,623,125,256,776,541,428,958,672,836,785,260,
693,779,479,362,065,968,982,007,780,453,992,901,946,944,256,257,196,943,780,
985,530,483,338,887,979,422,747,080,471,125,819,657,192,717,025,143,495,595,
612,954,630,409,525,085,224,810,396,874,706,111,840,562,272,669,154,466,966,
101,666,204,516,529,666,486,616,683,987,514,992,557,565,472,373,484,189,835,
428,417,359,392,820,100,073,461,163,002,290,247,893,790,817,960,256,494,093,
741,549,913,481,096,679,500,954,117,950,875,714,892,571,176,097,991,617,303,
616,784,727,056,334,960,850,764,576,584,437,650,174,331,526,187,006,903,961,
272,186,858,892,590,511,172,532,412,212,813,979,415,268,610,363,984,465,343,
076,931,799,305,616,109,614,913,650,430,721,765,815,901,212,747,155,286,420,
078,090,927,185,259,393,993,158,905,792,810,388,957,682,779,147,836,955,872,
325,520,997,912,206,402,779,722,545,992,870,757,470,338,520,787,300,522,962,
447,707,505,683,018,863,942,186,673,868,363,980,403,906,141,982,524,134,690,
900,041,636,270,194,453,560,982,298,510,298,527,134,164,013,164,951,141,503,
261,648,764,192,997,252,635,659,212,785,670,407,701,321,078,851,948,269,791,
685,869,817,743,597,231,280,417,722,902,814,065,280,810,875,171,626,793,592,
302,245,241,802,309,050,478,491,366,194,325,596,124,622,211,768,237,775,417,
164,550,925,901,868,432,222,670,760,204,285,206,921,222,591,804,275,165,748,
436,479,054,870,936,205,524,071,453,154,619,064,829,023,010,604,754,727,331,
305,200,788,275,659,315,446,841,494,102,557,078,395,582,340,789,039,192,450,
494,784,425,794,554,598,356,139,824,009,514,830,763,389,689,464,222,110,966,
458,923,756,329,734,289,260,835,015,667,308,308,201,597,889,882,268,650,639,
082,538,214,060,070,322,377,929,038,972,003,498,576,881,298,609,981,921,151,
232,986,730,915,547,745,540,220,129,820,588,958,916,961,930,504,555,222,001,
560,918,851,415,509,613,369,037,426,398,820,552,070,717,000,304,281,122,971,
921,929,816,218,387,037,937,348,031,510,552,339,080,358,657,747,116,674,721,
235,024,025,456,796,895,434,321,758,676,007,211,654,805,821,208,959,187,879,
941,319,399,416,583,265,744,477,502,063,813,298,156,495,696,028,283,867,002,
715,327,643,993,306,432,000,077,017,872,131,830,260,118,608,545,421,198,205,
676,465,766,543,167,200,854,779,080,835,686,910,180,102,685,441,562,660,232,
745,123,103,706,275,260,471,143,340,099,015,927,264,468,767,772,819,246,859,
566,903,386,624,547,664,730,667,813,608,724,020,560,606,818,007,325,383,397,
807,994,907,274,074,183,707,162,320,211,547,854,469,180,616,513,891,959,871,
568,286,400,739,391,675,482,792,331,907,663,286,363,406,133,120,498,223,661,
443,648,853,394,230,775,492,416,159,138,648,443,862,513,478,836,179,968,495,
768,657,712,292,114,036,697,972,339,569,280,701,862,026,279,233,282,878,412,
142,736,114,621,078,035,799,841,888,084,422,416,892,306,511,682,211,304,730,
184,054,645,101,488,233,504,147,939,585,766,328,040,942,911,574,328,017,982,
266,560,246,851,521,713,212,021,507,673,089,005,212,758,642,024,472,165,483,
492,751,754,676,729,938,595,272,072,235,678,649,650,276,311,093,231,377,320,
127,975,324,279,172,244,489,770,111,524,656,158,449,049,563,941,758,925,533,
903,450,576,950,329,031,898,987,977,668,744,465,457,137,616,033,850,430,783,
498,135,339,711,960,953,482,583,540,765,816,537,088,149,444,136,248,830,281,
340,043,389,223,431,221,811,486,407,621,173,499,422,952,807,387,395,928,924,
739,555,342,413,173,444,475,790,161,159,125,693,062,445,092,076,419,442,996,
710,348,979,758,854,310,619,969,557,619,349,280,624,746,704,785,547,555,913,
239,681,557,779,324,781,907,534,816,772,570,525,658,379,492,142,115,889,981,
151,384,831,812,305,247,036,679,143,471,107,310,205,110,466,599,088,668,946,
563,163,603,973,944,166,197,494,003,561,765,851,635,498,393,756,682,617,971,
099,224,542,672,466,067,627,505,373,906,621,335,824,004,065,639,323,325,501,
808,688,294,379,062,624,114,185,979,506,299,298,575,080,343,710,566,810,285,
601,793,368,103,331,193,619,305,184,005,346,165,764,191,845,527,423,799,900,
635,195,008,728,702,453,596,964,936,203,671,276,079,052,045,081,790,956,617,
971,513,186,005,816,374,340,108,590,852,703,266,191,300,641,720,780,637,906,
138,181,557,123,148,385,397,864,033,072,541,028,036,389,948,039,651,164,520,
791,216,969,358,308,967,417,048,779,815,321,721,707,893,759,095,802,426,767,
602,105,289,220,498,362,720,418,771,364,691,387,928,551,658,102,674,772,086,
047,726,981,236,431,994,260,345,681,762,236,529,015,815,032,307,102,155,148,
613,244,408,978,786,609,178,848,452,932,168,288,202,841,813,968,786,771,252,
841,433,852,074,909,250,562,213,927,387,587,891,419,568,134,723,453,984,091,
218,668,721,644,222,859,975,653,942,930,457,800,570,259,455,603,636,384,170,
174,918,983,555,037,580,393,864,276,822,456,066,348,905,297,424,448,840,661,
727,783,942,470,041,056,009,618,465,609,108,618,400,663,749,060,816,806,675,
235,556,126,619,528,565,718,068,701,563,513,582,238,701,336,810,107,024,883,
100,579,171,566,456,948,342,488,517,626,725,467,243,372,238,907,007,507,172,
317,920,875,165,421,020,865,819,707,010,244,125,222,829,350,566,014,391,241,
322,947,618,748,772,501,758,511,255,423,020,420,058,803,162,344,531,282,019,
289,953,264,392,235,585,125,374,418,390,320,568,382,681,772,525,447,014,127,
602,837,594,302,795,837,107,248,438,083,308,832,093,065,064,629,395,514,832,
691,741,539,882,571,458,435,979,516,652,816,130,060,401,519,297,093,697,918,
302,190,106,767,392,257,723,024,901,020,465,281,600,705,153,643,591,393,499,
749,597,250,634,568,996,407,748,822,835,508,237,646,390,181,137,209,613,829,
346,842,813,454,760,531,993,457,870,679,933,523,475,323,109,832,139,699,859,
895,161,386,898,644,535,893,550,902,622,399,020,058,063,878,450,632,254,910,
029,948,472,749,120,309,912,788,554,145,322,112,909,587,828,891,224,367,010,
300,638,792,014,499,442,741,252,562,561,896,119,796,510,514,380,179,512,764,
762,136,968,235,810,592,508,100,633,694,958,743,736,894,297,707,920,810,176,
693,146,158,165,146,933,799,523,289,829,398,694,226,900,345,333,539,568,688,
156,687,361,868,447,692,301,462,368,106,909,383,913,516,722,341,508,509,497,
125,530,958,702,812,289,748,215,868,076,252,559,196,947,860,998,302,145,554,
035,212,254,087,446,589,838,525,196,029,389,162,907,744,572,235,319,562,834,
976,272,729,505,893,782,153,144,529,367,869,012,898,455,232,795,572,092,703,
925,519,343,458,943,533,309,854,886,510,213,795,932,419,381,308,951,575,774,
708,728,080,558,646,564,367,544,152,702,608,688,242,817,048,581,668,320,576,
366,504,336,882,609,444,986,671,743,989,027,415,415,335,678,351,653,059,915,
339,368,165,533,287,132,365,549,011,847,146,695,061,990,981,054,769,854,300,
053,548,572,947,596,536,235,451,154,872,975,343,998,440,633,223,235,760,189,
138,411,161,102,516,273,806,231,548,840,827,050,459,740,749,394,443,211,085,
487,615,081,935,795,690,113,312,129,205,511,585,249,663,646,699,889,930,337,
563,502,653,436,778,052,007,190,241,359,306,385,110,480,479,864,841,143,995,
027,397,413,181,849,659,647,362,029,710,487,787,362,349,177,113,763,175,385,
067,609,813,649,895,169,837,115,936,804,755,141,775,591,277,103,493,555,287,
146,278,517,965,731,948,376,513,846,651,136,083,879,041,983,787,407,654,387,
718,670,690,659,042,438,519,263,540,365,661,303,560,909,408,068,030,965,323,
430,448,921,731,661,399,770,382,144,029,105,317,869,943,157,432,246,882,252,
675,754,569,563,325,276,618,810,007,537,735,601,491,322,850,548,137,979,760,
306,396,751,214,043,844,007,488,277,729,597,897,408,506,494,156,233,769,862,
458,716,415,384,442,391,533,229,674,835,903,659,304,627,622,047,404,907,832,
381,969,639,283,960,548,436,109,420,086,369,064,644,527,109,884,950,132,944,
220,999,397,202,814,597,165,473,892,424,689,819,936,866,480,102,361,387,253,
925,376,142,571,559,767,544,043,923,493,472,726,959,266,157,208,638,754,375,
095,385,318,721,827,839,221,156,017,062,243,823,562,827,440,274,674,312,738,
366,642,622,250,841,929,962,355,325,581,508,607,436,302,270,247,066,607,312,
898,840,523,557,103,565,673,115,913,394,415,310,780,554,869,947,364,260,617,
839,150,231,156,734,721,434,516,932,360,222,415,801,750,586,775,482,901,592,
027,952,571,150,163,272,593,476,240,967,288,743,124,408,576,734,867,552,904,
275,116,086,345,972,077,470,206,242,520,428,952,667,099,909,264,790,460,822,
051,213,206,601,300,048,352,452,626,126,812,097,849,620,457,311,340,431,029,
584,172,009,523,622,330,932,397,896,987,020,799,020,439,318,849,634,550,554,
560,051,909,902,811,117,916,290,828,994,237,098,651,203,676,933,656,556,245,
401,924,488,155,761,935,706,128,615,217,756,664,832,673,831,201,603,517,625,
597,324,662,332,772,131,405,467,551,749,832,219,751,338,637,737,456,840,166,
922,876,125,129,554,841,189,573,268,353,139,381,172,420,942,252,246,837,560,
318,945,780,485,200,998,345,014,656,207,684,682,334,613,125,682,397,739,053,
348,378,316,683,164,180,747,855,071,647,284,210,334,391,608,991,101,584,402,
135,431,568,565,617,359,129,971,021,891,200,117,966,485,101,008,058,205,049,
209,244,648,419,370,725,937,693,542,083,730,081,375,192,152,344,668,029,203,
862,545,234,196,471,615,399,743,367,815,879,543,027,114,198,336,680,266,095,
795,068,472,141,319,062,437,289,236,873,422,379,567,936,221,821,532,274,252,
787,811,857,209,849,604,403,311,177,044,490,905,889,134,401,823,966,334,485,
957,937,209,818,109,210,237,277,550,039,214,866,705,335,880,275,594,578,039,
956,571,133,564,569,730,095,688,732,253,191,192,205,310,705,969,397,918,622,
563,434,667,505,495,553,120,333,452,479,249,852,349,132,266,795,956,802,328,
845,712,457,162,456,604,085,435,350,522,322,343,030,242,912,011,352,502,759,
623,691,230,210,980,104,849,819,620,063,140,065,188,649,187,325,179,641,217,
346,306,097,967,876,020,557,566,509,590,840,385,667,874,483,905,893,245,560,
258,730,396,227,490,434,807,993,962,313,211,038,431,878,134,921,266,887,711,
889,525,270,199,985,975,893,727,933,272,235,674,789,326,361,258,902,523,121,
421,346,242,942,842,196,881,498,002,998,951,739,013,003,672,278,937,476,468,
935,442,233,416,480,138,689,109,231,482,831,830,239,943,052,245,654,947,478,
109,800,008,607,506,902,070,295,192,870,885,536,589,040,200,618,685,790,463,
430,161,090,758,388,506,919,348,706,336,979,503,821,639,739,535,250,805,171,
435,475,441,610,902,148,323,903,063,101,908,691,285,990,292,804,078,674,141,
437,375,714,653,742,692,129,780,689,550,231,758,893,956,166,342,461,009,535,
726,232,085,019,766,550,044,254,778,696,065,155,103,929,454,066,089,584,441,
163,903,573,114,753,042,395,217,761,663,340,331,882,209,671,021,647,320,660,
746,553,328,087,889,047,342,824,338,170,576,365,572,494,391,574,072,176,931,
279,874,596,106,163,105,565,739,460,289,625,459,361,839,742,475,759,567,866,
384,026,814,944,349,738,745,657,259,203,450,417,415,318,172,888,175,423,963,
109,380,287,920,137,386,941,495,863,804,066,252,417,998,936,745,787,423,871,
011,350,004,939,645,110,199,324,950,575,334,158,845,964,472,393,398,114,564,
603,233,900,745,280,617,762,904,401,386,363,063,372,842,821,392,806,056,816,
792,017,102,651,597,451,219,215,340,443,820,951,810,504,451,319,273,759,088,
007,961,262,919,981,597,286,764,671,963,533,851,150,761,892,630,810,786,393,
337,598,452,453,317,798,975,451,278,778,555,864,861,805,969,913,159,013,257,
967,231,355,901,014,172,783,534,902,127,878,245,126,052,199,721,340,536,069,
877,578,050,543,961,746,371,513,891,147,663,897,422,012,190,816,585,641,269,
972,910,353,850,914,953,621,989,471,846,797,458,547,830,653,936,094,917,312,
831,891,544,818,935,040,205,784,472,558,619,904,007,153,853,745,649,066,207,
577,827,378,236,045,536,473,775,678,150,040,759,485,024,669,269,932,582,061,
839,659,727,975,778,891,199,256,025,428,081,500,337,938,946,089,634,040,461,
777,410,039,310,401,326,919,059,487,157,801,858,517,579,675,581,906,270,517,
590,424,680,203,273,852,248,941,001,320,277,782,991,595,475,200,346,530,281,
792,265,865,726,386,886,588,580,126,433,485,566,125,629,643,347,783,109,611,
551,030,340,880,170,210,127,815,478,124,448,142,843,357,300,695,470,995,472,
652,432,023,346,578,851,242,478,646,366,348,679,526,882,633,308,103,161,402,
865,207,588,660,311,005,333,500,931,613,446,502,058,085,868,868,484,788,350,
499,304,164,765,002,941,473,301,842,616,459,806,626,148,470,126,036,675,243,
141,959,352,081,153,418,375,527,512,778,888,073,061,383,650,778,732,955,300,
112,851,254,752,877,162,773,139,378,498,847,607,294,057,738,590,030,752,449,
874,466,816,173,329,013,850,552,899,963,106,783,020,932,991,373,263,157,483,
467,768,169,757,484,838,027,230,873,296,786,658,178,034,540,859,527,588,023,
241,479,106,597,045,233,560,722,437,754,691,047,472,557,563,044,632,338,354,
725,824,701,582,892,789,390,505,667,287,304,304,817,196,550,878,876,073,636,
117,580,769,551,654,399,500,344,602,201,518,292,985,925,275,725,376,295,839,
602,013,266,997,119,106,662,688,336,187,272,070,742,936,049,435,838,762,932,
096,255,262,824,602,125,878,476,953,532,499,195,695,410,241,362,978,101,093,
212,757,268,320,559,097,808,741,691,035,765,835,665,955,605,422,246,351,265,
553,909,683,440,703,203,349,467,759,195,509,681,218,983,231,069,828,191,935,
849,487,165,567,074,281,661,482,738,607,213,306,716,351,122,452,889,758,290,
762,898,994,680,962,695,012,311,353,253,027,028,127,223,211,944,217,160,912,
343,058,404,265,804,810,021,976,639,825,068,056,669,498,711,410,310,966,211,
136,362,164,760,013,241,916,179,226,060,188,409,895,361,640,373,146,068,042,
801,057,636,278,566,193,605,582,327,099,200,242,778,589,558,931,879,360,966,
111,400,210,242,575,659,455,453,726,409,952,628,821,008,485,619,409,154,270,
430,743,183,194,772,236,435,540,436,921,656,839,492,942,282,201,303,608,642,
463,249,316,812,811,118,907,780,195,947,772,645,152,727,619,723,904,459,729,
368,570,708,607,067,584,924,959,548,789,526,206,234,792,590,436,218,931,530,
679,944,583,083,881,393,025,443,366,202,449,593,562,522,381,412,949,225,643,
769,088,035,532,440,817,174,177,256,551,920,744,173,933,309,803,172,371,259,
516,366,631,157,135,023,551,422,929,363,768,117,781,640,985,609,262,697,521,
273,678,822,181,787,286,838,728,571,717,530,299,513,508,628,585,719,223,268,
809,265,336,645,152,169,435,687,227,672,594,932,325,821,368,307,676,609,980,
265,889,573,814,837,156,087,772,486,479,423,103,312,440,649,695,709,521,276,
092,864,623,381,352,080,422,833,593,335,293,298,225,216,308,944,892,747,453,
238,618,361,755,498,977,771,752,052,021,334,056,471,066,241,140,414,648,897,
704,069,355,923,689,367,767,411,669,627,066,326,580,166,558,148,281,210,427,
078,107,862,288,184,511,583,201,434,831,877,472,144,815,198,867,797,353,399,
774,728,042,740,970,131,748,745,581,581,818,651,909,659,651,829,646,731,866,
563,548,661,969,614,368,786,852,821,101,155,706,902,138,352,787,141,896,763,
363,493,529,125,829,412,830,837,460,243,975,901,733,733,845,623,135,728,575,
421,719,451,604,764,042,165,301,302,775,542,524,875,977,500,250,499,435,103,
050,756,094,065,884,634,198,083,099,225,203,231,392,232,841,220,931,479,163,
153,418,244,059,114,360,162,117,800,446,782,767,565,536,301,540,252,870,031,
070,457,745,483,124,094,607,907,228,004,160,005,893,140,214,372,058,318,824,
788,755,300,110,845,912,124,777,858,413,034,527,271,784,384,006,540,086,917,
889,397,124,873,821,856,000,897,727,720,038,766,573,873,070,930,663,557,689,
103,559,028,167,315,096,782,533,683,929,295,863,529,943,306,552,148,639,471,
304,746,372,860,891,224,874,962,321,238,058,930,097,521,094,957,128,196,641,
161,766,566,845,235,465,742,491,888,935,259,496,914,736,184,205,072,734,044,
809,329,480,229,258,122,384,676,018,836,458,785,106,519,338,837,854,759,287,
896,305,542,172,958,674,888,577,343,441,247,363,127,378,817,924,804,360,019,
641,818,273,114,923,350,335,214,273,676,561,772,084,016,512,590,981,760,313,
616,900,935,353,834,920,309,196,418,256,919,041,536,933,197,020,534,390,601,
700,388,987,372,804,077,304,763,247,979,763,542,299,384,533,334,390,268,930,
198,860,624,950,109,374,522,189,520,855,241,848,206,799,491,332,351,439,793,
487,000,197,083,345,171,037,237,240,812,529,578,703,304,597,929,154,647,479,
160,252,115,043,874,537,277,816,779,601,182,914,782,863,342,755,026,334,533,
211,641,319,471,044,951,463,774,683,654,279,393,359,292,129,389,769,432,732,
367,748,659,114,204,160,203,773,410,297,109,653,882,144,845,709,864,267,407,
949,420,120,452,201,900,256,142,037,413,111,849,233,306,730,931,343,807,160,
484,156,295,900,145,437,537,604,915,573,678,449,763,734,954,421,478,967,447,
976,569,624,546,939,311,711,109,173,410,598,094,399,823,287,468,974,519,117,
967,449,852,060,601,964,626,970,995,934,057,170,071,715,784,836,511,323,802,
437,214,103,077,094,048,396,774,215,715,789,206,678,720,414,983,866,926,873,
813,887,664,261,376,295,006,565,186,007,037,771,413,897,739,631,003,014,460,
371,767,213,828,586,346,663,879,761,693,181,765,167,640,394,244,719,746,819,
909,048,672,689,786,948,080,236,227,995,856,566,039,395,743,315,656,657,639,
309,952,731,507,340,243,922,250,928,853,710,123,950,781,976,872,580,258,596,
515,684,366,945,283,524,285,414,742,288,301,479,342,905,774,596,941,926,701,
444,801,457,896,242,364,601,348,694,558,028,551,881,178,436,762,366,630,721,
008,032,204,204,495,284,781,651,552,058,698,603,932,310,555,753,030,916,077,
357,652,269,134,189,293,044,613,310,201,868,632,135,394,734,829,555,215,713,
689,307,578,900,262,362,740,796,919,162,180,890,577,484,365,541,487,273,517,
309,238,291,903,849,999,867,362,910,186,655,714,244,429,775,802,954,348,993,
568,799,861,667,789,305,133,063,009,535,822,249,127,630,119,263,201,699,188,
279,654,704,640,045,108,926,342,235,877,305,095,844,533,596,291,112,269,942,
160,728,143,159,046,951,736,931,621,687,162,959,200,835,690,483,098,119,531,
972,840,529,922,055,770,731,414,993,506,688,183,139,923,969,259,412,749,551,
945,037,600,336,606,972,316,868,246,123,877,808,883,744,770,660,553,487,263,
426,093,207,546,331,481,665,292,260,740,876,145,964,182,639,517,783,334,751,
258,028,698,830,497,689,341,502,126,627,377,380,126,063,294,411,413,695,719,
841,062,954,858,584,552,154,919,393,239,410,971,982,349,563,759,664,027,461,
846,455,036,358,256,772,866,588,369,893,095,189,029,879,174,984,623,573,288,
985,993,476,855,525,060,924,117,306,773,783,531,385,699,451,347,949,591,093,
585,133,301,981,429,381,746,273,490,340,904,765,018,911,047,944,630,046,326,
351,836,447,388,861,483,376,651,233,574,651,418,235,833,488,632,618,815,194,
989,611,472,509,727,827,237,288,075,617,129,595,725,782,765,107,220,134,498,
072,698,257,922,033,601,688,743,359,464,997,317,569,133,967,090,342,567,053,
558,890,563,112,307,468,101,609,949,427,283,334,678,478,921,005,544,729,678,
299,954,172,887,849,592,322,608,173,841,304,228,228,733,317,958,853,172,246,
614,976,830,201,507,411,521,383,040,927,852,893,347,261,090,539,278,623,457,
416,664,313,344,605,470,208,227,234,977,092,740,276,565,214,281,177,644,279,
792,935,512,938,701,106,270,381,790,874,001,026,348,648,538,391,137,227,297,
773,183,727,120,446,673,366,140,528,453,926,736,747,235,049,988,026,243,840,
236,189,774,818,833,562,836,508,738,522,377,557,721,791,677,656,920,815,818,
594,939,795,224,491,698,205,672,623,737,642,296,419,198,699,741,991,283,453,
218,118,031,573,866,887,628,708,877,004,097,815,385,087,998,385,806,044,898,
779,944,020,126,107,399,317,972,794,056,751,140,403,013,438,672,392,360,672,
015,254,338,721,513,839,692,099,424,285,423,223,739,194,050,460,157,391,323,
138,408,766,320,545,725,465,334,928,410,056,430,819,911,687,500,907,686,315,
352,099,098,149,603,560,518,255,980,100,525,462,251,037,442,321,275,281,405,
851,335,430,070,282,217,820,441,948,570,756,475,780,066,875,900,270,018,917,
255,421,786,200,466,797,147,364,228,072,831,753,872,155,334,554,247,382,359,
362,085,687,694,625,215,908,375,016,106,946,747,185,132,822,328,114,430,443,
559,815,774,637,952,379,235,699,409,673,569,441,401,481,126,267,044,487,589,
972,700,277,272,640,479,099,721,728,506,461,033,399,574,271,303,151,480,108,
817,703,072,219,186,850,415,745,405,694,360,244,585,604,893,054,278,815,029,
506,599,260,494,893,229,042,961,681,480,580,986,407,860,779,090,643,998,359,
582,548,371,169,720,731,282,855,245,443,012,131,790,822,373,489,824,048,805,
478,176,688,414,935,610,497,660,396,090,613,320,813,306,429,983,319,266,861,
470,412,635,954,611,115,391,183,237,044,608,299,616,682,632,966,779,779,650,
303,688,829,382,654,948,766,697,012,016,591,894,267,320,791,771,664,818,625,
373,417,762,402,922,843,918,579,708,853,005,533,294,667,501,878,635,970,386,
944,833,308,667,344,033,486,286,042,865,628,620,215,111,321,271,333,501,712,
323,379,781,776,322,738,300,534,748,785,189,152,499,052,582,484,716,946,416,
027,841,746,025,465,675,474,450,325,891,819,349,695,177,168,486,655,311,151,
218,869,660,608,588,026,421,389,749,062,603,814,999,480,975,585,852,160,864,
055,852,936,792,928,240,296,149,066,200,831,654,416,459,642,607,095,464,933,
940,016,671,099,741,698,116,967,919,912,187,803,088,770,185,709,848,800,758,
872,414,667,773,724,433,112,607,069,199,719,802,019,298,680,410,149,709,765,
542,704,130,131,014,749,793,389,444,163,727,083,038,788,634,180,897,092,991,
855,600,886,696,919,286,235,804,572,208,417,614,360,264,092,993,108,800,361,
081,209,447,538,631,600,769,852,423,944,820,273,100,103,837,346,018,698,614,
031,847,568,484,494,359,549,087,372,199,637,632,757,935,199,029,416,186,676,
175,456,369,880,866,774,949,082,082,106,045,147,813,938,587,426,998,935,136,
299,494,480,223,755,812,901,795,642,139,916,875,142,209,897,745,678,208,005,
477,067,544,151,180,047,727,648,302,347,079,359,651,693,046,994,973,776,963,
029,737,341,709,932,657,104,485,133,429,877,026,887,398,225,071,059,648,619,
694,152,091,677,793,271,204,329,840,929,156,834,260,845,476,044,903,772,742,
051,214,016,553,742,466,554,859,243,183,237,342,154,368,301,899,068,367,380,
618,968,577,855,678,731,738,070,159,288,489,223,574,142,241,485,312,850,059,
023,724,441,099,982,925,494,061,431,331,695,670,466,310,247,389,474,935,965,
658,052,132,083,628,682,775,739,722,137,425,729,389,846,101,617,744,325,992,
860,884,907,863,202,870,820,742,446,439,518,773,599,839,907,875,201,585,446,
081,148,256,353,047,588,749,308,711,800,334,374,586,288,735,353,096,964,419,
023,055,386,147,856,282,180,565,632,212,807,571,719,916,686,114,010,062,235,
657,911,738,699,866,960,884,689,216,060,692,131,904,778,617,848,159,128,067,
680,346,808,150,857,812,186,911,254,418,474,787,067,639,322,258,584,588,467,
803,042,707,359,137,554,742,832,543,993,724,226,196,336,216,829,739,119,851,
924,501,473,286,413,272,983,981,712,548,141,443,727,526,223,380,314,647,860,
171,439,758,815,709,341,185,641,389,150,495,241,238,697,436,472,017,899,008,
580,605,745,947,396,465,183,605,027,118,001,195,762,884,581,011,151,092,161,
820,839,163,198,728,120,143,168,743,857,387,829,422,971,694,226,784,048,802,
787,937,700,862,464,864,525,291,797,585,075,938,065,782,576,877,788,399,971,
401,552,975,648,049,140,075,615,549,744,033,814,478,343,906,980,862,329,189,
533,013,961,976,666,775,514,029,298,201,730,584,108,230,918,028,143,253,059,
350,609,499,679,931,815,865,854,813,980,341,920,189,977,250,539,607,003,020,
678,572,869,967,583,347,284,038,962,817,906,248,586,695,248,090,986,513,834,
611,427,720,633,602,456,212,705,631,728,176,721,514,611,421,802,053,890,988,
277,883,649,405,072,254,973,795,734,922,331,242,338,830,587,452,580,980,632,
552,047,454,297,312,689,646,515,417,697,914,907,405,130,750,354,617,408,614,
580,582,679,690,047,853,407,380,316,501,726,691,018,074,920,901,795,406,125,
289,795,966,768,995,377,413,714,527,429,448,986,809,836,015,047,060,714,659,
154,308,987,841,214,618,632,802,822,050,075,360,221,618,255,639,508,417,523,
839,020,176,170,309,425,127,426,379,160,097,583,425,366,269,217,572,538,070,
067,980,589,250,189,548,919,881,838,526,500,150,856,635,491,435,191,522,764,
033,931,741,699,908,948,705,529,344,425,286,132,469,833,468,057,399,445,050,
451,716,261,505,057,553,645,996,593,090,977,580,095,042,706,184,590,166,539,
549,145,189,243,798,507,344,125,042,481,476,979,842,380,328,679,288,486,910,
587,718,103,766,491,273,775,479,167,142,088,489,199,652,699,224,861,928,269,
972,338,698,027,453,373,741,869,655,794,762,419,823,866,885,676,106,196,079,
488,745,484,399,803,773,241,418,338,343,912,626,136,489,579,226,838,357,832,
484,935,518,866,277,903,222,388,924,456,230,710,455,058,428,702,247,095,618,
989,494,812,977,169,212,069,121,021,570,861,898,500,067,603,538,988,705,003,
934,231,253,377,003,143,097,600,788,605,355,477,005,433,787,200,448,347,768,
162,454,762,515,181,509,882,679,873,677,259,012,158,795,729,776,317,820,259,
091,475,403,117,733,155,151,619,280,206,674,028,190,101,579,484,392,090,500,
454,774,000,429,354,613,486,349,049,773,827,025,939,644,550,261,886,085,397,
113,237,623,936,548,289,594,172,169,978,761,040,630,611,468,874,142,816,914,
877,900,477,417,065,911,194,485,741,298,331,079,816,409,889,855,555,404,145,
587,342,378,149,451,407,576,296,688,800,739,643,465,000,380,482,550,767,843,
425,613,940,996,243,281,998,771,872,472,251,003,982,820,902,546,994,964,504,
681,579,716,609,378,184,894,580,650,742,819,338,857,608,455,642,439,648,419,
142,783,852,565,217,352,893,862,463,455,110,578,068,465,277,540,084,599,005,
494,595,708,531,565,198,665,397,727,789,586,133,258,696,806,356,632,949,907,
808,146,483,247,390,292,977,370,345,569,974,481,229,007,699,381,860,704,241,
833,877,694,862,194,821,690,961,421,932,420,148,873,814,765,375,494,202,547,
669,640,250,040,011,279,090,532,006,672,934,599,959,872,507,791,289,714,013,
402,579,762,694,544,699,020,820,717,114,428,514,048,313,698,441,359,595,989,
267,582,175,361,681,898,697,720,389,331,142,786,415,885,460,790,859,762,432,
789,736,532,870,548,453,435,146,155,646,618,338,182,963,354,346,285,422,869,
533,784,502,275,240,676,081,273,715,965,961,175,745,472,717,231,724,171,074,
965,782,096,968,818,583,162,572,884,967,787,262,806,786,900,504,415,410,458,
349,764,339,088,511,979,248,254,749,220,062,321,750,949,952,267,346,863,327,
745,442,568,790,415,035,464,481,711,015,201,001,356,686,968,521,451,821,283,
592,705,322,676,626,467,358,079,086,194,443,358,370,455,450,835,786,130,113,
723,196,669,478,679,245,830,631,776,092,124,466,163,802,733,597,294,061,628,
254,660,722,623,913,502,827,307,530,891,415,096,506,762,937,363,933,286,626,
349,806,091,778,052,620,425,957,309,536,593,169,877,057,430,258,163,381,458,
915,302,659,581,093,470,723,075,284,046,647,119,175,362,924,056,076,551,315,
404,671,798,684,079,872,236,188,606,559,266,136,264,257,198,480,675,874,877,
891,308,282,841,698,290,506,261,278,267,986,091,773,444,839,490,893,044,201,
576,349,909,372,388,924,276,253,030,366,501,220,492,009,817,898,397,037,536,
517,818,037,579,939,272,106,015,397,163,196,268,435,815,764,511,080,386,658,
398,889,378,968,939,114,075,590,637,889,246,217,207,018,073,663,978,785,411,
567,551,344,225,723,989,467,560,286,153,203,008,787,172,015,774,953,929,679,
519,957,957,860,247,721,463,593,991,840,824,035,321,624,127,820,015,125,707,
688,224,347,878,096,855,215,079,542,738,051,083,572,601,760,682,777,514,823,
067,476,444,604,306,918,695,744,432,753,825,132,966,279,873,411,800,619,858,
836,335,309,191,662,464,234,428,016,177,957,954,543,928,429,093,204,673,115,
946,127,623,434,021,173,005,750,328,585,458,902,834,053,861,013,918,678,949,
116,417,111,326,959,152,489,846,648,468,419,205,031,556,324,830,537,808,994,
038,316,646,564,643,031,787,970,956,619,885,655,590,264,016,828,890,303,459,
137,185,734,081,822,857,817,999,441,594,052,899,408,262,554,491,562,386,542,
654,557,837,241,196,238,847,258,106,695,484,714,763,573,086,333,755,674,861,
593,499,646,333,334,176,425,230,855,903,545,841,247,906,019,714,718,854,756,
157,363,100,012,394,259,229,208,985,925,579,824,617,836,070,672,201,549,629,
182,130,598,775,438,096,066,472,650,084,370,439,824,735,331,397,492,677,689,
429,516,601,210,427,262,155,657,311,747,179,269,436,446,572,882,182,921,290,
662,907,625,456,187,148,733,514,208,963,464,810,889,124,965,508,419,304,411,
581,093,721,342,914,143,019,375,620,040,085,835,045,258,148,197,267,292,327,
286,733,588,124,038,939,430,242,368,733,630,514,880,856,250,758,010,325,110,
204,857,755,738,171,971,376,001,572,485,282,303,271,178,548,500,713,446,021,
398,045,680,207,134,482,643,677,909,423,590,779,205,608,208,667,047,083,838,
800,928,840,930,931,094,422,048,634,325,524,679,648,131,567,296,635,759,283,
761,382,894,613,827,518,598,445,309,711,149,215,234,288,354,597,419,131,975,
032,225,966,111,204,599,292,729,623,420,590,308,261,611,971,444,972,323,771,
292,573,415,270,459,852,312,678,221,722,343,764,311,012,495,186,148,915,973,
510,305,657,729,737,267,395,952,279,095,086,329,811,600,250,750,477,643,453,
908,884,470,481,287,427,382,519,578,813,569,264,465,310,262,610,634,738,217,
339,836,390,506,187,076,177,524,087,967,690,199,224,805,682,453,861,267,433,
053,448,975,421,431,853,285,022,872,776,455,566,372,351,540,219,286,975,480,
021,284,509,363,697,145,559,741,723,186,519,907,088,193,564,694,665,719,174,
497,111,296,279,885,328,241,244,331,009,182,029,233,237,847,871,800,799,427,
491,214,443,312,692,580,150,395,021,495,842,093,854,617,887,946,991,743,374,
397,787,176,988,444,941,044,718,203,772,790,741,043,040,712,788,599,810,189,
316,374,368,264,555,258,135,779,660,042,632,282,631,004,249,666,119,679,901,
417,715,753,441,174,332,279,065,315,017,608,142,441,716,362,536,013,411,634,
915,639,856,067,708,508,150,365,962,542,832,415,342,838,287,418,367,162,302,
585,633,155,109,927,906,640,085,211,615,484,114,831,485,263,764,065,968,599,
222,059,137,172,892,866,280,911,019,381,799,989,199,216,806,158,973,757,879,
424,919,599,408,812,404,566,564,255,868,402,326,779,725,018,021,200,870,747,
917,172,724,553,550,539,691,161,267,354,158,774,950,651,325,813,638,721,857,
414,950,606,385,694,975,206,782,234,886,091,799,657,269,052,716,858,575,132,
862,276,679,691,494,641,142,966,513,050,601,433,801,410,410,325,249,865,169,
577,225,956,174,239,595,449,425,699,429,048,692,585,458,199,503,235,215,140,
188,993,127,584,084,229,808,152,335,827,327,292,660,321,113,216,158,438,947,
588,551,062,678,043,945,180,847,294,818,297,151,286,273,940,786,627,865,557,
017,589,636,894,622,424,936,143,776,177,682,642,757,260,991,896,854,405,652,
082,607,188,932,521,856,511,724,710,465,975,928,591,934,499,307,731,327,237,
532,806,717,743,610,441,954,213,587,092,580,788,397,312,080,661,326,413,887,
244,174,870,528,304,635,816,877,865,757,307,175,065,515,996,389,187,383,992,
723,750,027,507,212,581,625,473,857,083,407,962,744,831,581,844,635,059,064,
286,098,137,500,367,025,127,403,752,844,297,278,637,937,387,935,019,309,972,
369,423,230,672,295,314,748,460,374,515,570,362,164,024,474,633,066,148,803,
739,673,938,768,847,105,680,210,593,757,709,368,735,615,597,962,919,797,578,
597,293,050,054,846,790,230,782,625,741,195,698,687,975,261,536,765,625,918,
795,434,494,663,057,838,059,581,820,829,818,362,408,997,075,112,644,329,280,
265,877,445,569,168,614,374,599,725,842,345,633,314,094,612,061,642,995,142,
198,605,362,036,978,237,216,350,683,092,168,417,768,974,089,627,692,141,985,
528,448,684,505,225,331,863,110,384,325,954,346,502,459,942,232,388,266,948,
487,178,467,629,224,289,244,762,651,577,845,514,452,097,549,349,489,142,782,
964,073,326,596,246,430,294,491,045,548,678,748,813,821,568,282,581,480,201,
832,265,390,631,642,328,030,032,867,451,788,968,444,674,249,549,128,647,061,
492,887,756,579,502,917,150,039,350,280,628,582,033,358,483,514,034,582,789,
455,278,033,414,065,792,299,062,069,975,643,119,139,750,932,431,131,528,573,
987,905,528,391,091,899,195,709,673,636,705,409,887,735,205,010,041,134,118,
530,494,857,321,027,792,711,514,109,751,779,627,379,985,409,602,663,940,401,
396,359,306,124,033,840,916,717,249,780,194,539,394,471,937,060,624,327,823,
665,881,549,129,419,741,757,685,845,347,561,740,897,905,950,459,530,379,800,
941,779,391,774,084,634,853,572,989,242,308,552,348,049,273,202,695,621,604,
728,378,925,830,353,245,347,131,169,633,701,818,862,963,287,464,683,675,370,
196,345,151,390,545,705,537,514,936,666,176,601,970,831,319,790,933,949,135,
886,889,529,556,117,988,670,900,453,854,046,950,823,254,265,576,084,886,334,
936,043,725,899,016,161,642,599,500,786,376,924,720,734,706,905,064,864,155,
034,784,087,773,359,285,277,645,500,574,853,016,600,380,488,913,958,387,171,
317,232,109,048,749,751,093,460,612,883,294,577,694,569,409,548,656,095,786,
221,287,168,632,470,360,375,604,418,592,079,975,532,857,263,884,618,130,365,
493,183,196,581,450,219,264,009,388,318,168,935,619,344,361,320,608,715,664,
153,058,506,208,376,031,292,869,033,004,916,165,488,007,309,004,083,207,238,
836,936,934,709,098,242,304,925,211,806,995,497,081,737,706,418,604,615,040,
577,145,114,010,118,882,014,940,058,270,319,093,114,786,560,605,088,643,264,
036,597,875,404,702,122,288,496,516,992,295,895,136,480,405,290,407,709,492,
715,961,647,097,728,475,433,305,362,509,088,099,227,371,146,916,598,033,914,
692,417,618,523,741,592,606,172,056,473,269,914,393,124,702,241,694,677,840,
436,011,112,278,684,991,673,665,334,015,680,586,310,570,712,309,204,523,220,
871,981,445,243,431,266,829,437,933,778,185,426,856,095,018,301,220,255,072,
166,473,582,830,321,548,255,343,535,225,960,181,184,951,695,369,402,797,955,
634,807,440,839,499,105,606,759,085,310,062,879,292,613,693,416,540,635,394,
897,628,869,083,935,631,173,871,613,434,112,934,732,006,668,407,250,622,189,
896,735,131,181,097,649,368,132,397,097,590,981,224,699,177,199,919,801,943,
726,783,565,969,629,184,349,196,710,486,822,709,656,118,381,745,974,475,412,
174,573,922,823,118,971,909,097,938,821,491,817,774,754,814,304,917,353,460,
895,548,216,089,442,145,333,248,606,144,377,524,810,340,846,739,586,943,453,
234,028,862,598,167,847,741,519,228,245,109,955,865,495,763,721,915,069,811,
847,297,875,573,697,945,217,208,599,775,113,137,778,984,753,821,505,043,885,
971,307,549,207,675,194,239,391,337,649,941,192,408,431,581,261,442,099,732,
890,258,529,551,104,187,454,568,194,238,820,442,255,795,818,749,703,965,474,
403,313,603,679,215,739,780,945,414,308,868,777,869,931,453,137,525,123,518,
211,284,114,993,500,821,773,197,456,014,732,597,794,014,690,289,837,056,953,
561,382,600,890,539,910,366,405,277,425,535,743,306,234,767,827,522,380,916,
253,761,538,507,422,912,000,493,789,789,082,831,012,704,897,800,866,058,707,
617,227,016,504,943,534,288,600,630,885,864,829,103,098,829,831,913,614,188,
438,778,820,079,605,524,846,562,161,261,730,175,116,397,943,544,161,909,220,
702,301,799,558,880,645,729,266,045,724,570,985,722,957,093,894,787,524,231,
183,248,827,273,060,941,666,811,571,948,785,369,680,946,386,396,088,576,011,
451,770,740,826,569,644,972,070,024,236,899,160,654,875,211,445,014,882,453,
566,948,833,472,990,160,158,773,870,450,960,225,721,294,040,030,381,927,381,
152,359,256,492,558,911,876,829,047,026,332,618,808,572,022,789,489,272,373,
128,089,239,224,390,923,826,466,698,090,437,862,425,984,515,562,269,409,231,
936,909,068,314,271,875,994,873,649,523,602,291,750,533,119,428,490,454,848,
159,911,025,276,300,184,977,292,997,979,565,922,359,680,667,902,146,420,223,
617,163,499,954,563,257,091,521,564,338,615,353,297,357,857,379,033,419,769,
896,183,284,673,306,114,265,176,824,352,419,530,374,767,835,210,410,022,334,
903,991,970,275,675,170,227,860,613,738,313,723,246,413,328,791,314,222,463,
994,231,214,456,977,828,207,709,846,112,576,143,979,027,229,553,143,886,984,
739,546,455,536,122,391,328,335,651,001,517,733,083,028,348,135,197,282,929,
540,838,941,712,155,866,127,088,255,593,323,591,135,377,403,875,794,151,737,
922,434,884,880,556,273,130,935,847,409,288,278,836,318,883,119,613,729,152,
370,174,101,855,862,349,630,352,574,043,882,980,828,411,330,711,471,126,648,
500,478,592,363,962,770,934,380,367,212,743,778,675,459,684,010,240,449,799,
696,077,256,274,978,949,737,635,332,666,418,025,173,176,620,181,552,498,839,
089,182,605,154,142,933,405,356,787,653,379,388,224,243,065,894,772,437,420,
739,106,369,381,833,521,808,044,734,582,211,964,907,458,460,226,576,030,924,
507,066,721,572,721,503,828,890,239,581,102,224,823,913,968,767,972,697,525,
713,323,838,067,002,651,656,767,239,161,488,597,863,474,375,118,567,156,892,
602,831,079,817,982,485,456,286,526,384,123,326,955,059,844,127,656,423,872,
631,879,715,776,160,255,639,189,771,533,804,791,399,414,766,182,312,560,044,
573,796,592,033,133,675,582,952,364,790,639,830,016,346,394,123,422,126,220,
058,208,540,032,158,545,628,061,633,053,054,744,603,067,758,350,833,401,555,
523,399,880,295,835,535,331,325,450,621,721,982,722,373,581,819,773,212,670,
492,437,007,439,925,088,632,101,272,898,849,446,404,010,948,401,031,596,951,
596,517,579,617,632,996,107,149,720,223,365,661,656,122,777,778,670,550,998,
398,988,134,171,886,635,066,469,825,253,935,798,722,177,173,727,976,550,011,
750,037,921,669,599,401,863,762,576,781,108,451,848,358,738,119,792,756,784,
719,973,208,189,335,402,040,617,360,064,103,092,069,575,419,047,029,958,027,
410,937,471,450,551,212,727,816,776,825,906,642,686,087,158,294,520,299,497,
744,464,086,729,508,150,941,273,382,938,259,515,819,651,636,938,274,025,505,
880,378,224,519,883,269,327,848,157,222,710,048,849,323,871,227,145,134,209,
100,471,327,073,862,109,928,220,179,527,737,800,590,467,122,118,608,669,407,
966,621,409,360,293,647,476,200,239,822,617,662,478,515,509,417,923,077,115,
132,180,074,882,923,868,579,454,178,573,991,597,120,050,763,185,444,369,047,
422,275,235,515,219,362,378,635,216,783,003,371,009,654,120,191,029,816,129,
103,766,869,791,902,434,237,913,223,236,915,065,077,403,604,189,809,160,703,
228,846,663,624,322,452,067,186,303,665,187,654,276,986,436,373,692,666,577,
383,022,931,542,745,154,667,619,122,223,512,404,043,059,382,067,396,814,526,
837,723,418,188,604,987,401,449,053,071,682,426,259,865,601,525,995,289,064,
761,829,545,997,107,514,550,435,669,161,332,473,716,399,661,849,848,449,504,
600,780,027,910,617,941,176,837,440,814,119,916,753,199,041,153,615,241,462,
879,642,864,510,066,189,397,844,289,893,498,309,025,900,601,792,079,676,935,
465,730,582,632,898,103,877,893,106,299,137,024,774,335,715,270,058,654,348,
397,162,719,747,887,431,770,227,047,531,250,840,722,056,602,424,820,314,709,
669,836,387,084,427,039,695,690,711,252,319,806,185,888,354,783,946,677,826,
800,422,921,851,881,822,654,120,548,712,717,974,543,310,785,373,946,411,575,
858,903,396,439,301,249,790,692,290,090,188,216,885,497,005,130,891,293,694,
585,906,702,429,731,441,071,348,101,782,693,644,677,450,161,971,560,933,608,
460,644,015,230,669,477,668,450,236,109,138,853,007,436,620,868,782,326,349,
314,325,617,368,379,292,620,208,133,717,406,504,624,081,351,263,992,895,188,
333,216,516,492,746,104,101,109,751,405,224,813,797,442,310,686,868,585,752,
876,670,600,232,676,450,958,343,455,941,072,949,911,897,387,108,172,985,548,
012,404,992,181,956,617,216,714,855,940,341,137,453,654,742,417,389,943,601,
860,026,367,941,369,312,592,838,404,028,601,592,984,915,342,230,027,790,650,
043,124,296,203,209,863,974,281,459,150,135,112,269,607,740,133,612,415,928,
492,122,182,122,363,605,994,826,966,551,502,259,649,079,815,840,521,782,209,
576,315,169,526,470,257,789,445,981,902,923,599,571,252,737,723,208,655,064,
773,788,845,171,195,818,562,778,104,361,355,751,993,061,880,639,694,140,115,
432,272,782,862,086,096,757,659,617,234,915,782,875,752,171,622,643,289,924,
099,673,059,391,914,351,933,437,419,904,442,973,869,552,230,476,172,716,644,
520,683,581,044,050,877,623,395,099,636,260,896,766,202,107,556,140,844,732,
893,456,022,377,764,295,020,278,734,631,573,666,922,916,774,614,726,417,617,
749,683,517,661,070,606,201,680,198,229,967,535,089,139,301,445,511,317,804,
185,417,725,663,221,318,838,891,753,396,469,480,535,385,398,943,168,775,919,
984,247,408,401,318,107,905,772,538,890,826,812,949,936,561,185,213,200,745,
724,847,461,834,841,997,860,485,581,993,066,122,327,867,839,832,845,119,433,
546,865,218,939,093,215,598,076,428,874,561,960,759,476,365,242,446,768,832,
549,648,756,354,800,404,208,840,028,568,672,620,878,134,684,617,107,411,243,
730,352,066,268,517,017,723,799,102,941,883,614,815,946,698,303,593,123,031,
306,296,006,900,467,573,509,950,436,684,968,149,472,378,515,239,606,324,766,
326,160,746,985,903,187,542,773,999,645,687,736,441,001,751,303,407,900,399,
155,031,716,938,308,573,130,047,149,495,645,854,979,506,672,472,323,965,549,
860,471,489,574,574,365,061,397,645,888,546,399,561,004,900,167,982,744,926,
347,027,214,368,270,069,813,979,513,331,866,240,301,692,893,376,421,169,892,
229,717,062,633,240,092,565,958,668,283,973,680,723,585,639,574,592,839,605,
010,684,615,293,291,541,428,764,989,616,455,047,122,585,343,939,642,620,536,
273,319,670,701,686,753,039,344,751,834,985,065,355,227,958,684,666,319,600,
830,326,824,029,220,940,037,035,893,236,475,066,743,484,949,146,260,302,678,
484,433,509,765,057,519,481,745,021,848,155,534,632,043,490,133,248,500,110,
469,483,660,553,517,367,752,646,219,045,580,566,720,880,967,390,819,992,063,
394,940,050,945,600,864,960,080,018,101,659,669,632,812,656,381,046,966,423,
052,249,440,925,005,437,967,973,651,544,408,950,238,803,429,152,985,838,888,
653,331,004,604,795,356,706,456,083,388,478,623,345,487,050,118,296,258,045,
051,642,670,963,385,932,471,594,302,611,095,536,684,825,590,963,392,572,581,
724,608,955,765,366,282,276,761,158,435,278,593,776,898,967,715,175,511,335,
724,791,822,379,232,346,736,897,348,453,508,036,007,976,878,267,357,263,850,
218,390,045,622,994,266,997,079,293,452,424,789,774,285,778,368,717,103,275,
546,525,326,188,327,943,555,307,861,653,045,890,217,362,252,339,308,377,031,
057,493,484,694,314,080,359,769,643,116,645,408,144,007,142,791,592,005,862,
083,709,420,802,243,135,790,091,031,963,415,436,479,723,934,064,036,679,393,
197,913,308,999,035,948,661,207,125,259,745,666,569,688,876,818,392,737,974,
104,048,441,915,768,391,405,845,968,301,884,934,354,987,099,732,865,156,920,
353,158,909,136,810,712,836,594,081,351,569,137,626,186,883,738,454,014,782,
264,110,875,616,273,520,825,244,690,994,079,764,934,765,704,712,786,050,704,
386,122,957,612,538,669,873,325,523,476,394,534,005,336,702,214,927,673,971,
568,876,975,286,271,282,221,385,021,697,234,711,225,613,803,571,090,139,599,
447,013,835,258,200,397,766,758,576,431,251,010,587,648,534,659,068,574,691,
758,672,804,208,905,012,321,054,183,254,402,305,578,925,240,805,023,278,660,
336,250,610,068,150,863,322,306,856,960,714,523,148,007,644,402,064,399,668,
685,495,130,447,904,402,345,737,348,037,636,109,651,313,603,555,760,095,862,
329,886,806,033,219,720,473,333,206,904,001,285,821,878,244,999,370,815,175,
515,359,168,728,730,625,245,627,631,465,011,250,257,755,672,758,997,633,138,
048,635,650,637,493,409,180,556,756,197,298,515,929,189,577,006,261,092,162,
316,151,992,012,571,200,959,003,483,448,467,916,822,040,087,623,457,010,808,
150,740,048,327,081,294,544,836,205,255,079,160,449,238,387,448,476,569,410,
181,064,959,126,625,503,529,143,187,696,890,161,399,786,349,475,479,176,776,
363,446,896,733,510,072,078,934,969,098,391,628,423,431,321,849,248,025,516,
363,179,714,397,247,195,327,447,072,053,624,723,312,734,680,093,270,879,518,
253,293,056,275,709,173,363,703,008,650,218,143,296,062,987,369,032,147,669,
225,088,509,582,184,509,117,892,207,707,294,890,808,969,338,645,862,965,425,
706,594,304,794,923,833,592,668,268,728,652,401,991,561,352,995,142,445,327,
658,757,875,217,621,656,187,590,756,051,287,186,742,083,393,614,953,671,307,
028,277,066,136,492,281,836,774,624,523,131,187,676,971,951,980,987,368,573,
247,462,483,214,677,697,417,767,747,136,723,092,412,652,138,408,532,626,625,
921,099,714,422,079,845,475,920,465,011,881,780,547,417,369,048,461,326,486,
063,095,408,864,283,220,098,332,229,788,817,301,609,946,438,930,673,250,588,
084,089,315,952,889,558,541,319,087,870,096,680,777,624,164,882,266,963,114,
008,183,341,622,600,073,607,246,836,920,275,300,996,091,083,656,426,479,506,
160,759,482,507,924,454,860,792,739,793,844,111,099,855,707,685,186,261,672,
278,400,394,669,082,934,507,900,836,521,141,577,437,085,167,856,558,391,352,
998,249,727,644,746,923,366,886,070,823,873,008,315,396,216,004,873,691,446,
970,573,248,257,402,052,966,085,963,467,662,158,385,145,873,136,719,390,271,
758,208,720,263,889,966,997,019,007,211,302,720,807,635,322,268,562,202,422,
198,322,011,807,526,675,291,159,973,419,178,995,500,594,128,472,001,334,116,
380,113,255,060,281,823,379,634,969,881,450,298,273,825,189,189,288,140,152,
400,699,406,376,088,254,258,783,508,608,854,121,643,236,445,816,379,257,126,
919,033,358,645,192,493,202,190,713,596,573,054,018,370,463,750,997,503,430,
389,315,574,794,799,245,649,561,976,930,320,686,981,244,965,354,087,144,246,
867,159,514,342,089,129,256,304,129,247,365,444,143,825,843,799,782,627,034,
600,598,336,464,234,107,099,760,276,878,592,286,750,015,251,344,340,956,670,
974,373,212,043,706,459,632,671,118,688,553,784,163,467,709,434,713,581,018,
350,893,951,017,714,876,407,901,803,668,616,869,022,198,673,538,967,083,934,
911,805,711,405,958,446,467,403,523,436,118,574,325,820,070,586,026,410,832,
001,573,169,220,399,530,542,912,091,231,905,536,837,244,647,249,937,024,501,
533,125,757,927,967,380,544,564,901,760,406,231,576,137,538,370,391,194,621,
199,236,252,374,596,973,468,735,881,681,055,355,339,732,512,410,361,785,898,
973,967,450,327,787,562,887,415,834,209,560,314,391,678,393,196,532,070,648,
589,326,966,367,326,909,169,313,092,342,107,382,392,805,159,350,532,819,144,
882,959,459,237,986,318,097,937,871,459,241,003,505,971,411,249,200,506,988,
082,764,998,897,835,062,900,747,706,248,769,523,763,058,415,472,010,622,201,
416,861,264,246,425,427,574,204,081,844,601,151,760,831,014,831,439,353,324,
194,252,160,588,528,243,901,082,227,289,790,054,355,526,110,323,744,876,344,
286,320,945,997,567,454,879,498,357,714,302,268,534,003,280,313,627,496,600,
282,350,026,759,430,918,473,716,659,481,206,243,058,781,590,955,048,399,030,
861,245,535,234,896,711,086,679,334,658,226,299,936,844,403,345,323,950,658,
898,776,322,455,825,303,227,693,800,863,313,630,061,475,125,964,098,763,578,
815,487,557,144,507,046,393,666,939,888,901,790,458,469,407,425,760,278,105,
267,293,044,515,848,324,633,181,293,863,025,036,511,886,903,319,925,999,411,
453,223,497,988,522,181,433,839,771,634,989,512,457,190,117,386,768,409,362,
403,730,648,748,765,297,151,744,214,161,057,356,705,579,461,015,169,344,035,
172,772,092,872,863,970,507,284,184,598,874,057,379,988,624,970,504,905,075,
242,463,651,238,232,318,959,853,060,673,659,837,144,111,789,542,204,812,136,
715,110,393,134,440,664,715,466,470,295,791,279,710,532,158,416,261,747,654,
568,835,828,173,899,760,722,688,891,284,622,073,830,136,764,728,338,695,779,
839,505,742,006,093,344,336,857,455,246,129,070,756,600,465,863,553,121,128,
064,829,421,947,017,024,223,434,170,550,879,625,362,745,784,778,981,236,264,
994,538,497,315,065,460,703,129,498,708,355,148,169,908,906,572,964,145,274,
616,749,363,453,877,442,277,888,883,992,217,351,844,820,438,498,370,744,164,
403,573,192,158,959,962,469,625,532,843,137,802,500,315,254,914,009,002,075,
430,273,223,771,552,043,535,433,333,725,072,758,237,094,003,283,481,065,735,
383,833,474,871,849,456,940,600,239,850,517,671,050,216,726,620,631,095,756,
407,451,694,729,408,279,180,136,555,719,613,684,936,942,035,957,401,221,761,
003,196,877,426,778,076,403,811,792,939,913,561,645,790,472,647,889,500,296,
603,476,461,229,869,112,886,880,395,809,067,449,858,578,479,011,013,621,473,
560,977,095,240,207,119,612,187,631,920,989,728,668,754,529,309,170,827,713,
032,155,237,674,674,368,945,941,059,912,763,165,638,259,106,706,106,940,994,
283,350,529,770,193,244,897,381,096,391,567,417,478,775,967,295,970,555,186,
208,710,884,757,320,352,719,192,863,372,939,592,424,245,005,245,232,217,996,
627,492,266,133,642,034,339,573,817,147,345,710,098,928,892,658,145,596,041,
863,405,405,765,315,870,791,509,866,341,454,822,975,443,472,948,711,849,230,
705,357,020,993,429,890,296,442,624,317,929,146,892,719,360,263,892,858,255,
175,545,055,773,986,108,953,013,351,926,198,903,569,859,122,366,558,694,695,
893,609,926,833,869,019,039,776,854,270,599,183,661,754,018,179,114,045,261,
406,725,083,046,788,178,463,704,688,532,036,035,813,066,528,477,134,808,653,
653,523,908,550,785,029,084,634,089,577,260,632,955,332,280,302,775,603,891,
435,482,221,672,615,323,058,225,564,913,503,644,830,934,870,613,329,128,070,
025,669,977,389,297,037,537,372,417,609,608,991,643,744,452,768,027,942,310,
458,961,545,913,670,816,433,603,897,737,294,900,848,590,670,624,141,228,866,
971,741,856,565,132,011,605,151,353,645,767,963,232,748,632,763,842,157,335,
498,090,757,253,891,341,365,609,403,738,078,325,109,090,429,167,142,877,947,
938,988,570,752,578,073,555,862,223,325,051,401,664,000,618,357,973,141,122,
123,614,422,415,519,128,734,687,595,373,571,101,470,235,259,402,322,493,215,
503,649,604,750,912,266,135,024,878,261,137,068,511,773,551,594,000,505,180,
617,270,689,102,466,289,230,782,906,380,926,756,907,268,282,252,361,393,276,
585,665,934,133,054,088,707,964,135,654,819,844,135,075,372,621,277,891,006,
869,367,380,134,844,547,908,945,342,093,420,649,167,190,471,900,842,216,297,
031,805,476,793,299,645,053,607,223,413,840,276,125,511,959,053,614,845,153,
942,577,315,380,379,703,727,646,284,761,156,657,210,968,351,511,322,842,114,
416,655,913,193,733,825,048,316,386,478,602,632,327,797,850,264,773,872,054,
286,850,088,135,309,406,731,558,215,240,226,159,516,986,825,359,994,359,345,
297,664,491,519,645,813,959,455,733,282,999,914,270,002,013,419,437,538,254,
765,628,047,060,168,035,100,695,555,585,373,491,265,127,665,827,503,362,782,
724,493,928,561,352,464,482,736,222,209,650,116,084,720,091,504,187,340,654,
234,551,278,593,215,988,509,313,777,282,436,335,911,638,326,002,765,989,217,
838,880,774,025,554,718,689,170,932,333,117,076,800,849,714,234,903,946,438,
024,720,294,643,459,446,501,788,554,538,885,929,087,910,968,801,492,963,892,
596,900,367,922,195,773,607,360,439,477,232,774,835,878,125,336,592,840,363,
256,909,911,327,985,400,244,690,129,990,446,868,610,846,434,946,192,575,310,
582,094,457,976,414,366,961,642,307,411,642,654,997,245,941,073,062,834,242,
512,614,702,073,693,065,790,839,723,333,299,298,315,524,199,160,283,945,576,
144,971,248,492,514,667,312,171,277,258,590,681,630,666,693,937,604,020,420,
511,823,995,318,516,058,144,479,304,413,339,669,477,251,128,911,414,546,681,
025,909,388,583,623,645,705,834,280,599,004,124,890,200,830,987,208,666,599,
385,004,836,894,577,117,065,960,832,251,430,526,727,758,522,999,614,582,213,
615,579,186,599,739,416,281,252,481,019,824,668,298,995,893,262,772,596,675,
241,055,885,632,424,636,526,903,207,277,375,921,684,708,277,743,329,256,274,
693,848,558,077,413,751,713,493,224,286,323,774,413,213,179,002,235,581,821,
816,812,198,456,144,933,135,479,170,282,597,816,322,040,318,777,110,664,946,
997,654,724,567,830,875,258,010,812,784,763,392,089,941,667,985,772,007,759,
302,644,587,806,059,925,907,844,446,446,725,548,604,706,640,974,138,845,503,
015,137,676,184,753,468,872,182,070,489,786,114,280,094,215,051,235,406,231,
131,353,253,024,913,545,516,446,448,720,129,592,000,305,014,653,251,285,209,
808,640,979,632,676,162,650,422,978,340,062,114,639,596,775,443,633,118,796,
114,641,763,927,589,756,358,193,568,075,191,180,784,062,718,251,624,256,499,
578,213,211,189,041,257,963,486,935,923,042,285,168,844,156,550,140,846,741,
173,774,136,288,478,798,453,533,304,264,583,655,891,216,099,475,929,386,345,
403,947,450,983,269,385,379,818,877,141,371,013,361,898,713,971,008,496,821,
371,070,695,663,454,898,048,942,697,871,722,700,935,505,465,826,909,705,130,
828,241,444,819,620,326,517,297,288,407,431,351,339,907,258,642,617,509,592,
400,834,606,472,820,240,052,281,215,097,702,043,300,661,471,320,608,743,082,
515,721,163,926,543,614,009,032,444,090,156,153,945,652,684,901,514,873,896,
531,676,919,987,784,373,519,895,241,787,779,841,667,595,674,303,615,312,155,
185,745,318,091,063,753,207,707,230,522,723,045,825,448,010,458,949,532,034,
067,247,056,243,721,026,051,365,604,964,994,185,011,256,668,726,337,789,189,
025,931,171,853,641,860,932,815,485,757,407,524,472,604,126,722,696,945,483,
450,864,799,540,382,749,111,378,930,522,236,966,066,217,901,500,307,472,106,
375,593,105,399,847,820,371,731,054,059,318,346,731,369,980,651,758,317,955,
246,003,870,477,680,678,668,258,862,721,493,019,192,452,390,736,076,491,374,
949,005,682,893,707,362,813,753,783,964,428,793,115,065,583,498,620,844,600,
762,728,703,147,849,625,887,172,781,544,225,443,744,507,227,812,599,640,649,
954,631,961,381,193,942,016,510,556,780,653,494,460,794,011,611,330,289,866,
318,540,614,583,287,029,772,233,567,105,786,494,810,336,579,381,011,069,805,
824,778,118,318,601,389,391,659,081,901,913,794,531,990,872,267,909,983,949,
643,019,986,238,998,347,089,544,839,630,274,299,709,714,460,721,341,087,335,
706,598,245,332,703,444,721,649,553,139,645,992,886,737,978,963,664,543,920,
477,014,452,886,400,243,733,271,394,170,717,436,950,837,877,803,788,912,569,
233,097,673,596,607,896,673,122,850,753,418,477,451,306,974,171,398,590,684,
167,566,294,854,250,090,362,271,079,898,093,394,102,819,436,154,132,350,979,
760,895,574,796,526,756,979,011,461,998,806,818,473,872,091,001,714,727,868,
368,726,667,492,580,980,140,798,070,117,293,428,696,673,337,513,111,206,148,
900,523,657,553,512,264,644,867,041,864,095,553,784,130,190,830,976,125,357,
210,295,877,148,637,720,227,563,702,609,603,415,644,998,514,959,011,738,783,
488,036,297,552,082,740,730,011,619,592,034,979,211,194,434,683,797,320,655,
956,745,085,870,852,796,040,296,151,333,044,191,795,211,952,721,838,763,544,
804,211,019,456,142,281,550,635,490,959,350,903,256,891,635,143,430,955,797,
277,287,227,730,549,741,361,614,412,115,223,214,928,426,708,966,297,089,343,
900,842,838,011,598,909,589,981,769,321,277,657,929,153,347,882,977,479,324,
686,174,763,397,739,197,632,840,840,141,903,086,644,908,620,997,153,128,369,
616,460,140,703,423,743,573,065,577,273,080,144,034,120,331,742,563,582,052,
755,823,893,570,831,266,544,472,072,200,727,046,882,500,709,385,407,960,235,
666,604,545,673,543,603,342,528,404,509,398,244,414,108,614,901,733,779,454,
530,294,246,905,781,734,326,740,098,174,081,360,012,915,625,038,351,595,345,
927,347,382,586,864,152,509,537,198,227,354,345,300,756,631,797,167,927,583,
116,970,233,927,094,740,666,879,268,431,066,086,901,637,103,244,657,466,767,
905,911,299,471,566,718,111,524,412,523,712,582,218,208,036,856,168,319,665,
598,651,687,100,465,997,870,774,964,244,021,685,561,444,539,723,087,217,029,
923,383,422,240,659,343,652,392,630,250,070,666,453,829,329,913,237,481,039,
455,319,223,217,624,939,850,152,598,142,157,471,984,119,266,147,628,648,913,
610,783,785,306,740,707,527,957,758,375,209,955,284,646,051,215,143,980,826,
593,821,149,914,294,629,653,580,292,304,369,455,160,128,617,676,629,910,088,
929,916,818,291,275,327,406,913,283,356,278,863,396,321,525,178,619,011,652,
662,494,464,677,831,387,079,929,502,525,918,846,667,085,941,289,082,292,256,
778,692,066,084,377,239,487,140,184,598,833,010,671,803,388,643,847,582,002,
286,117,287,071,919,431,178,722,054,152,110,181,064,893,371,084,390,775,438,
353,506,854,401,058,800,337,130,507,622,933,395,670,788,716,925,489,003,566,
742,241,068,309,660,362,524,783,777,045,211,584,857,082,479,045,625,291,555,
349,523,575,872,996,203,359,992,529,294,195,643,537,543,737,423,455,332,411,
162,055,928,231,035,589,556,481,895,301,841,649,787,598,425,100,191,911,938,
525,273,704,066,799,572,995,400,977,664,115,041,890,054,609,884,950,384,457,
916,535,545,668,318,341,879,909,308,586,886,662,175,845,137,471,670,825,640,
683,029,279,866,568,826,636,324,910,738,219,571,978,706,171,031,275,794,746,
049,976,807,827,378,966,299,689,848,047,691,307,532,312,298,415,420,872,799,
918,115,322,064,624,700,034,331,400,386,520,980,575,637,666,944,787,648,167,
725,106,372,257,820,851,420,012,597,814,805,259,119,651,376,227,031,121,785,
579,483,387,673,078,043,648,342,514,195,282,467,985,692,831,709,057,293,730,
231,182,877,271,888,820,778,685,763,964,202,526,715,890,458,776,955,400,416,
518,099,919,474,685,386,182,875,391,213,978,154,731,004,902,944,588,158,146,
593,128,599,805,830,513,237,420,018,713,671,650,563,803,119,165,124,612,874,
725,864,331,700,614,462,991,392,140,748,954,963,899,498,502,535,289,397,286,
066,661,358,395,110,490,569,440,605,523,466,851,917,290,184,867,823,639,411,
088,290,109,920,509,611,244,963,389,840,981,057,478,422,888,187,222,772,768,
276,748,063,178,498,506,304,575,556,001,837,019,813,595,324,364,263,645,867,
688,946,404,775,684,164,492,573,322,632,463,588,294,155,419,289,473,767,999,
282,086,971,771,153,156,552,737,811,304,987,726,829,018,867,996,858,768,190,
713,538,915,463,207,245,052,873,391,679,270,008,488,111,902,461,774,254,775,
222,784,046,669,679,155,479,796,579,095,220,102,946,516,354,690,448,809,606,
331,300,589,805,442,349,349,709,117,133,200,733,721,988,484,908,124,617,505,
618,013,032,392,909,028,236,903,694,733,035,360,462,615,724,675,338,266,148,
456,851,085,227,965,819,961,033,508,526,131,764,892,566,012,617,699,482,294,
332,409,839,347,055,928,369,674,049,173,952,322,191,633,119,225,174,721,075,
016,751,339,049,410,339,189,304,826,570,130,443,837,906,659,318,684,101,908,
235,243,697,251,278,811,929,591,903,980,537,675,958,169,790,473,675,094,702,
041,550,125,487,907,270,352,695,403,616,915,471,705,183,437,453,220,399,421,
948,127,622,638,873,174,852,967,199,282,094,923,539,976,308,613,616,699,165,
772,145,315,600,771,875,039,374,403,084,558,881,672,011,015,115,139,633,552,
853,814,926,249,130,219,901,137,221,012,805,291,496,065,114,753,634,526,984,
910,086,201,950,290,532,948,133,714,319,214,527,086,717,815,842,666,948,959,
234,492,552,289,047,355,508,284,549,654,352,926,105,946,806,571,635,065,492,
363,674,450,574,789,256,102,847,620,778,044,126,368,683,993,829,191,184,969,
483,520,594,073,831,578,339,341,785,953,670,652,521,808,280,467,653,186,061,
065,677,466,277,577,759,383,674,727,946,565,363,320,030,291,931,231,860,165,
536,789,434,733,028,247,042,713,777,803,463,953,239,441,101,500,738,003,227,
124,041,282,156,180,165,857,801,347,271,624,349,283,185,168,581,302,548,329,
516,468,954,633,317,904,318,172,414,825,276,226,555,566,855,070,575,861,794,
516,063,757,259,914,835,817,468,904,566,001,795,801,234,908,689,542,991,576,
597,811,237,402,442,727,932,999,420,619,754,123,211,108,365,581,589,731,661,
256,477,354,107,882,490,728,368,514,688,862,037,196,690,293,939,595,521,571,
783,980,759,147,118,084,683,907,269,539,134,382,333,834,614,124,258,244,665,
027,138,739,904,500,150,654,454,606,849,200,025,489,061,132,840,200,156,884,
149,781,240,927,342,327,434,235,700,715,313,477,628,889,551,533,213,120,622,
689,556,477,469,691,253,375,563,583,083,667,989,659,790,087,630,175,818,016,
362,043,541,810,907,625,160,967,830,490,444,350,257,438,635,527,513,402,125,
342,125,917,216,170,271,666,304,534,948,494,883,528,490,356,546,672,443,689,
770,935,239,788,911,448,427,415,737,535,978,843,155,762,508,675,642,592,267,
525,283,675,070,835,940,154,505,241,849,738,527,284,120,454,242,895,023,105,
890,316,728,835,962,698,065,323,238,103,486,008,158,811,833,272,729,310,138,
850,367,412,086,239,982,833,502,685,317,309,756,991,582,249,480,010,504,208,
396,038,334,435,293,097,833,824,139,365,551,916,164,058,654,062,988,065,379,
680,234,956,709,939,027,071,620,419,653,549,905,741,601,017,403,229,832,058,
571,843,635,361,649,154,294,717,182,954,749,624,268,654,277,836,247,681,906,
887,414,633,083,939,274,346,229,333,184,094,585,763,196,272,035,990,798,428,
572,959,581,896,335,849,551,107,473,213,710,044,144,689,611,460,779,768,834,
006,181,382,211,425,017,127,872,353,693,064,061,666,875,428,427,697,610,040,
351,680,425,694,575,317,307,874,200,064,871,491,790,513,335,652,246,088,244,
196,054,778,015,666,928,628,973,696,656,295,238,977,664,062,746,808,699,233,
105,174,310,854,517,906,723,974,154,479,719,784,854,240,582,459,510,802,267,
024,930,007,655,835,467,803,429,923,343,156,296,657,068,748,090,267,863,552,
456,412,300,587,592,540,095,965,378,316,137,730,295,763,670,342,989,439,433,
894,505,861,590,974,062,700,893,026,792,125,110,956,087,135,023,921,312,275,
501,584,508,807,719,949,475,540,814,709,123,245,848,366,144,423,020,481,263,
823,751,163,907,007,923,406,273,257,112,021,858,205,442,106,906,181,801,517,
964,255,034,823,727,685,139,832,143,863,415,557,498,664,883,351,517,095,037,
948,391,918,339,980,870,978,853,856,688,415,740,287,298,177,340,449,377,413,
124,241,164,341,647,744,888,772,866,719,376,196,607,258,905,903,773,353,766,
246,689,288,460,602,175,035,910,199,308,894,267,661,219,459,945,782,097,352,
714,551,858,772,270,535,955,177,152,419,519,489,690,709,226,654,011,155,746,
749,344,883,415,350,021,375,581,212,618,013,007,937,704,878,875,129,354,731,
364,166,818,086,976,522,291,116,625,005,150,047,594,301,958,217,545,281,181,
758,028,937,382,271,932,638,651,232,898,467,021,482,278,868,811,151,086,186,
331,483,050,567,744,353,825,659,985,920,726,407,772,294,215,692,340,827,002,
525,484,264,224,386,596,829,671,883,451,121,718,883,871,306,605,329,838,970,
825,180,086,021,565,808,332,367,873,240,596,127,123,814,737,028,949,662,069,
446,403,071,778,599,428,277,722,249,540,407,839,736,174,415,921,279,278,801,
933,093,655,099,805,426,882,576,341,989,041,757,852,694,670,523,117,339,008,
904,840,920,227,654,989,592,930,220,086,560,809,611,956,687,866,305,274,978,
276,896,747,291,911,066,964,129,481,992,371,926,553,832,244,969,394,043,102,
216,625,595,243,717,626,079,670,758,238,659,206,607,554,277,541,163,680,397,
234,003,550,586,491,671,025,385,724,703,468,053,247,797,385,585,264,772,535,
194,946,374,172,192,623,013,126,126,499,781,494,588,839,678,102,664,930,015,
357,739,911,009,248,432,832,617,223,827,458,170,121,126,523,428,414,677,673,
020,658,230,959,875,223,479,179,776,596,738,371,843,231,879,593,089,173,526,
145,044,135,659,128,652,730,321,692,827,131,660,510,001,052,806,229,793,089,
014,674,349,343,466,800,755,531,753,765,327,553,664,752,063,887,000,700,745,
735,780,005,080,525,823,439,694,987,293,476,746,755,596,215,367,497,133,952,
731,902,732,041,901,934,184,724,657,450,463,496,554,412,014,070,667,144,961,
925,416,856,315,633,722,524,098,305,183,132,918,895,796,456,730,825,699,684,
374,100,093,132,759,160,386,331,676,757,988,624,487,131,076,284,526,353,116,
461,396,622,494,737,894,631,682,378,631,269,262,090,501,050,120,602,360,121,
938,288,958,726,733,375,213,803,943,076,762,097,290,827,333,991,419,436,090,
313,407,099,067,230,601,482,741,288,184,696,344,198,829,594,775,883,783,263,
084,099,939,268,421,752,461,357,465,916,402,874,422,841,799,698,826,128,534,
248,193,559,845,083,882,317,294,474,633,845,768,311,578,974,074,913,248,087,
865,932,977,172,064,057,780,254,825,043,390,145,569,751,762,340,217,226,575,
182,616,345,088,840,268,271,037,969,488,253,954,669,665,059,670,414,129,167,
200,231,832,465,562,651,770,361,477,483,530,324,163,441,602,784,014,681,826,
198,145,196,463,161,525,310,029,362,779,216,354,596,920,465,991,382,318,303,
650,268,048,500,748,748,508,213,153,846,921,814,553,910,384,817,137,425,414,
364,731,087,904,294,523,066,119,984,782,436,208,765,613,219,354,675,595,892,
955,485,289,694,767,105,957,437,638,021,705,492,445,892,596,475,273,435,405,
608,373,192,679,712,219,922,566,892,374,897,237,450,020,868,251,780,941,302,
247,945,989,088,990,102,831,943,896,537,211,386,769,067,157,481,403,914,341,
665,741,973,023,871,192,651,199,204,684,955,213,025,309,302,587,743,410,657,
397,279,141,693,243,171,127,971,202,314,647,549,306,370,748,060,473,595,380,
358,094,155,519,089,474,037,046,208,377,249,178,159,739,054,585,853,906,330,
517,564,162,874,011,191,858,943,830,414,907,669,297,642,192,930,059,802,086,
857,868,269,390,371,626,251,612,432,644,422,350,858,449,981,052,588,874,374,
475,789,753,032,031,313,619,216,909,935,251,951,738,364,915,357,084,835,240,
303,959,688,233,661,792,301,311,033,779,329,162,181,544,815,833,275,063,401,
404,780,040,020,488,166,515,813,353,367,476,821,031,370,298,475,482,204,630,
948,685,156,172,546,936,794,586,183,124,151,477,150,012,127,872,269,451,339,
232,445,732,004,018,134,385,472,124,537,947,445,795,212,332,623,129,602,081,
526,120,590,916,727,438,749,070,174,872,118,838,771,891,201,869,670,194,743,
051,782,840,936,112,613,812,132,516,515,179,974,161,708,242,992,479,685,103,
888,932,534,048,552,486,699,461,175,539,596,226,673,725,592,551,504,121,267,
053,206,531,396,466,119,763,817,565,020,070,367,341,023,203,108,299,595,509,
123,070,010,365,491,092,714,235,602,526,004,580,467,060,130,915,923,979,800,
444,761,569,183,136,681,668,960,566,975,219,496,964,259,241,621,462,075,371,
293,624,062,085,910,714,281,899,074,816,362,967,629,021,442,703,097,641,988,
765,875,049,831,331,224,898,207,891,697,823,463,118,897,319,273,112,261,449,
296,307,130,593,201,683,123,249,519,600,160,755,875,446,270,010,144,935,390,
803,372,415,286,291,268,581,882,855,459,377,023,866,343,737,842,789,359,639,
475,165,833,103,550,951,909,577,008,578,245,936,724,630,780,232,284,231,739,
578,552,506,191,858,088,283,213,445,781,559,277,917,495,568,306,654,370,542,
182,197,503,789,640,235,922,555,418,620,210,320,115,326,461,323,660,212,906,
758,636,252,965,966,973,838,372,427,439,732,345,858,102,855,033,010,885,548,
422,966,859,210,236,155,647,102,974,914,345,933,682,413,971,048,588,760,701,
989,212,264,825,432,426,818,850,083,135,417,114,085,400,207,411,533,186,486,
552,592,584,563,326,153,891,284,408,859,737,326,855,031,317,654,478,776,800,
648,817,218,962,920,419,799,552,941,326,799,427,214,638,653,285,410,053,842,
960,037,648,073,059,227,725,324,851,892,144,526,864,569,868,131,883,056,363,
496,829,244,568,618,131,014,289,518,694,730,894,680,253,385,570,694,818,238,
777,596,086,323,099,347,477,194,150,501,947,032,738,211,166,385,404,790,857,
883,290,868,412,726,871,074,000,243,739,992,218,666,015,234,882,870,636,003,
610,329,979,739,316,090,688,945,496,075,861,303,925,117,541,217,676,343,415,
597,310,571,684,403,972,894,622,766,882,935,500,289,079,841,890,143,056,802,
751,814,047,371,029,035,145,034,034,715,735,344,444,945,680,799,896,811,278,
372,967,897,295,760,251,500,263,860,116,113,031,766,813,158,719,314,624,550,
638,383,312,533,548,954,467,724,952,054,033,184,878,908,629,797,252,920,113,
696,164,011,932,695,819,019,341,430,627,240,697,100,777,344,612,137,962,755,
978,865,586,090,942,243,503,160,040,215,805,637,347,715,425,382,698,106,762,
067,149,579,445,695,002,209,041,092,650,939,598,733,356,672,390,977,033,738,
328,482,644,362,030,545,193,634,300,497,947,065,911,792,849,271,682,858,009,
185,828,151,930,825,297,028,035,734,671,925,829,658,178,879,331,338,010,568,
168,237,293,397,719,310,193,931,882,167,165,012,394,614,555,817,471,567,308,
866,019,132,221,130,152,926,014,483,087,778,942,967,999,154,852,871,601,762,
625,285,279,969,578,274,633,838,294,292,176,092,986,972,678,001,388,406,420,
321,707,138,674,384,243,080,581,188,786,697,433,002,986,081,271,528,615,157,
765,380,233,692,592,445,319,502,197,431,335,283,890,444,068,020,887,150,306,
422,027,291,355,487,011,505,383,446,810,848,000,815,631,066,146,015,315,034,
410,693,247,255,212,989,842,175,242,401,247,603,703,600,185,691,262,581,201,
134,080,225,912,393,367,552,458,765,776,884,686,751,254,982,479,157,038,936,
753,452,430,315,422,817,038,413,638,937,932,013,807,758,264,685,834,418,747,
458,291,731,559,721,579,497,716,542,664,783,139,915,548,651,201,493,506,197,
125,199,990,099,419,172,264,031,240,143,230,802,237,270,032,815,193,539,829,
921,665,212,273,413,792,470,404,047,389,183,657,413,868,710,237,873,804,133,
963,695,316,383,750,053,321,235,245,248,192,467,111,137,256,069,918,359,165,
559,381,306,007,038,610,728,737,636,536,947,915,671,875,504,813,543,262,636,
168,105,332,529,617,466,372,910,802,237,924,847,419,937,807,592,741,607,565,
432,156,502,428,403,405,195,944,999,057,883,617,542,394,808,449,657,877,557,
258,622,740,055,978,698,925,639,956,660,603,220,185,926,431,835,896,137,736,
934,759,032,297,815,269,974,548,021,728,971,240,105,053,503,495,215,741,378,
993,206,825,735,997,092,279,123,971,403,950,988,617,682,928,489,655,709,013,
647,730,890,550,857,439,039,336,891,708,243,259,812,862,774,384,076,944,758,
623,336,100,625,439,193,355,821,753,126,785,791,802,466,307,282,495,022,445,
715,391,375,036,895,020,214,487,730,308,886,436,808,975,788,334,073,501,717,
048,414,617,788,377,730,483,275,771,239,028,096,806,575,914,083,118,035,098,
801,924,018,137,299,484,071,047,056,187,152,457,774,651,707,769,234,189,609,
966,452,813,131,246,578,588,951,172,714,489,438,756,304,581,806,642,602,917,
473,750,770,614,823,521,797,405,908,440,665,622,313,838,631,911,488,995,909,
713,654,907,164,707,917,925,499,246,030,320,541,889,695,636,542,626,136,671,
579,725,803,190,171,624,468,782,175,663,214,703,190,072,387,652,544,934,751,
766,218,100,543,724,504,062,354,627,955,307,585,270,120,389,218,176,766,561,
793,203,399,368,516,347,546,797,056,883,123,822,824,290,345,791,491,820,703,
330,324,121,467,600,864,916,966,984,608,719,585,858,511,003,801,955,940,866,
254,241,738,731,152,823,601,438,440,897,747,816,105,559,514,155,236,108,723,
879,959,618,331,587,636,418,607,474,449,666,908,390,156,214,547,309,545,146,
253,394,672,368,577,005,889,139,016,879,080,128,060,937,532,335,435,003,490,
880,398,268,292,427,394,746,285,745,937,624,435,462,682,612,845,470,703,995,
018,668,003,022,001,064,609,371,933,077,111,874,759,934,482,169,895,276,077,
215,511,114,982,910,629,682,675,897,000,110,862,780,386,721,206,964,849,275,
861,605,729,175,118,778,956,121,254,726,700,529,035,765,172,939,730,334,599,
430,892,197,551,744,553,902,490,652,362,866,051,901,061,803,297,504,729,012,
839,741,820,052,870,923,353,485,062,523,385,596,172,127,667,347,204,769,066,
063,014,136,934,132,332,678,171,087,555,892,804,618,468,681,480,712,757,525,
128,227,050,632,815,497,973,710,182,797,362,396,925,442,986,326,257,058,335,
482,770,463,264,164,505,664,465,173,876,106,478,071,837,184,186,493,017,237,
625,069,368,302,096,206,827,453,467,005,694,679,500,065,764,837,502,172,148,
889,705,278,192,095,146,577,631,947,724,578,385,778,261,873,079,645,022,665,
254,524,480,151,931,602,324,757,579,733,101,688,649,532,633,334,425,028,109,
543,549,441,918,955,639,492,448,277,408,786,284,822,531,942,901,108,810,405,
151,435,683,992,692,539,163,018,297,236,758,519,816,188,810,184,935,260,888,
154,009,491,178,750,605,180,886,835,958,073,848,360,807,546,462,903,275,772,
264,736,461,305,597,498,892,714,414,583,705,138,382,233,924,605,138,195,108,
213,537,055,239,723,546,013,162,229,365,418,241,281,130,887,091,579,431,090,
705,737,924,760,196,538,003,234,035,028,649,649,003,993,448,811,484,554,337,
697,688,238,226,183,063,877,909,685,623,218,558,804,564,643,605,995,719,613,
623,174,614,176,179,784,672,605,777,396,299,955,793,713,578,981,934,535,916,
245,004,692,899,150,259,763,363,426,238,612,408,849,622,191,952,078,700,247,
327,200,578,515,295,202,907,670,425,236,893,669,103,130,864,976,603,346,232,
915,884,087,159,286,013,251,984,471,587,258,782,832,456,891,041,589,563,989,
225,757,233,620,627,578,620,683,846,710,649,002,907,454,998,007,919,990,313,
475,035,044,734,473,981,057,826,657,845,882,331,874,679,484,932,465,077,293,
498,267,283,748,565,240,079,383,388,847,858,892,622,117,194,928,094,539,686,
283,220,437,613,931,227,375,628,411,808,161,690,723,628,091,710,813,300,142,
532,331,234,475,359,506,625,075,702,120,040,748,814,144,999,637,230,426,954,
261,553,999,159,962,499,765,292,007,129,865,486,546,034,637,691,567,781,310,
364,120,341,387,843,020,270,645,797,098,446,145,054,149,805,177,883,846,627,
816,531,255,909,477,148,785,513,856,117,235,535,042,614,507,898,102,682,011,
398,021,613,701,229,492,546,018,138,788,186,300,857,145,748,719,080,765,545,
709,149,317,587,666,799,924,786,878,579,612,427,257,468,147,171,992,773,282,
747,704,207,690,461,444,570,251,198,395,210,709,096,759,378,285,647,423,005,
109,957,742,428,144,249,522,472,910,218,159,010,206,565,167,074,340,733,419,
585,953,157,686,216,792,775,833,005,632,442,919,510,223,499,076,322,328,662,
561,860,826,394,767,555,529,438,930,104,138,370,539,165,449,175,240,119,813,
269,329,239,364,543,530,522,431,602,407,048,865,288,995,426,774,618,161,828,
169,302,756,366,332,288,201,460,755,512,206,229,765,817,820,585,967,271,016,
813,766,688,160,585,055,645,645,372,886,641,986,244,597,598,339,030,124,211,
140,815,736,801,143,343,725,701,596,438,970,830,293,009,894,326,398,515,205,
111,443,653,823,120,740,237,114,031,470,210,390,810,067,550,773,553,417,402,
865,359,752,971,661,677,401,337,442,765,898,820,355,361,590,536,607,712,470,
157,070,249,717,669,424,522,984,019,807,791,717,918,954,878,044,433,516,465,
953,052,199,957,413,016,436,575,916,879,306,387,299,089,923,672,059,426,344,
369,142,845,829,584,354,526,399,399,941,965,808,712,292,656,880,589,341,981,
711,320,184,105,007,570,363,407,758,094,227,395,870,707,183,533,854,140,819,
090,624,258,581,368,797,078,233,995,399,238,812,608,091,812,059,591,507,296,
617,628,475,391,971,994,573,131,286,491,679,554,432,757,718,724,876,205,853,
229,274,355,175,432,419,365,110,650,519,361,999,307,843,558,178,513,435,138,
318,737,170,336,884,079,076,274,088,464,787,963,550,532,511,106,869,404,453,
236,573,161,717,994,916,206,652,275,671,237,460,015,903,220,536,401,453,147,
973,811,673,156,389,028,522,180,549,418,874,989,677,709,694,468,751,670,712,
573,379,943,827,185,970,841,186,443,987,266,385,309,167,142,278,711,452,726,
967,782,388,368,242,543,695,182,349,535,876,858,414,119,881,971,087,139,832,
198,507,579,715,301,820,080,832,066,939,998,836,916,149,067,881,185,759,031,
238,935,427,350,630,082,138,270,295,577,086,837,637,559,987,591,065,619,918,
812,546,470,481,115,421,967,042,449,390,687,484,201,237,839,423,536,223,002,
775,368,921,516,610,764,090,848,555,710,783,231,813,671,108,338,827,617,009,
703,238,822,203,997,864,193,674,295,558,730,903,636,444,108,898,227,118,339,
590,106,924,368,289,632,750,294,239,920,008,938,088,833,358,217,570,293,478,
606,617,056,328,553,468,442,705,937,591,429,707,145,908,229,459,483,581,135,
744,335,543,078,909,128,654,020,194,703,556,019,734,356,857,064,063,323,911,
534,807,059,575,432,626,154,472,623,259,587,445,548,606,921,117,117,433,512,
579,140,244,823,305,517,304,279,000,063,084,881,366,829,468,886,038,515,247,
077,062,114,498,317,836,061,466,632,631,083,755,513,695,880,000,926,268,090,
307,803,864,710,390,995,362,884,805,952,134,578,885,764,513,968,720,411,365,
802,254,855,460,249,764,671,832,559,912,908,371,202,241,694,951,740,042,734,
880,021,613,388,405,648,474,105,976,517,002,348,969,337,440,399,023,596,443,
630,448,348,030,612,298,767,781,551,861,230,979,657,868,754,066,196,794,591,
188,230,333,161,128,373,262,908,909,478,496,132,600,637,415,697,973,686,948,
226,643,208,103,586,756,843,615,742,623,288,026,398,147,955,198,738,667,402,
875,158,707,521,962,148,702,460,665,852,022,227,784,374,044,490,052,332,054,
119,216,256,807,561,588,162,974,464,923,085,108,584,244,802,354,559,766,196,
417,145,799,875,939,090,891,148,390,120,623,373,669,600,756,986,086,086,500,
533,719,939,098,832,512,649,826,094,164,569,158,151,835,824,141,240,968,882,
023,809,004,846,443,415,232,722,057,135,060,447,547,996,803,778,799,394,947,
521,960,538,859,105,338,073,841,539,012,497,091,126,561,009,250,365,011,734,
630,641,543,593,916,295,392,382,972,129,693,061,156,887,527,764,753,310,592,
038,213,267,163,949,243,263,172,098,405,848,807,702,369,429,266,677,839,220,
180,557,985,284,579,134,210,409,839,144,812,256,538,798,200,131,565,621,721,
716,108,277,390,066,188,909,022,650,894,055,951,258,195,665,007,100,581,232,
445,071,961,107,677,249,734,416,800,407,696,163,860,819,514,240,856,560,669,
670,207,050,018,827,904,443,099,480,723,182,272,868,080,758,533,810,319,243,
467,561,508,252,436,447,119,295,676,432,322,616,433,883,698,216,041,683,677,
825,322,291,993,601,151,992,976,764,041,927,040,550,563,232,793,849,343,607,
429,898,562,655,985,664,279,529,236,189,066,381,272,658,991,169,154,745,463,
076,206,241,796,776,234,458,260,665,893,199,199,203,070,028,508,382,432,265,
576,089,725,379,874,704,621,473,877,505,501,382,857,590,270,118,509,772,273,
623,771,270,932,218,347,146,888,151,022,086,187,733,053,954,645,551,060,019,
684,251,648,212,221,465,010,530,589,144,751,792,131,359,997,784,917,179,932,
803,803,621,442,436,405,650,194,166,792,981,865,204,187,159,401,474,482,724,
388,709,198,565,753,612,153,634,533,199,544,784,820,481,451,536,840,184,848,
174,347,162,926,112,680,767,804,940,321,670,951,294,307,832,354,481,984,905,
003,433,961,095,496,786,312,671,421,240,907,910,690,751,220,014,441,518,932,
175,297,536,584,175,230,388,730,550,646,669,537,336,713,391,337,270,948,956,
666,871,532,864,795,605,007,931,729,018,780,260,972,177,121,107,593,721,764,
117,579,060,240,370,580,793,589,847,591,588,964,045,248,693,184,860,583,493,
008,227,422,397,558,213,779,504,638,441,379,944,851,408,364,907,997,263,700,
713,434,197,411,879,819,821,150,666,034,427,263,424,463,760,071,104,209,704,
688,433,048,140,120,008,945,804,898,286,543,849,902,263,901,397,843,840,471,
435,335,813,298,776,011,554,255,173,366,642,560,524,345,274,437,821,434,924,
056,375,540,427,014,141,212,339,606,565,917,363,501,235,334,221,970,830,223,
486,911,338,268,172,964,339,048,786,420,942,606,166,117,871,063,405,486,146,
648,658,735,556,006,193,647,129,509,464,719,713,834,228,840,478,603,074,521,
239,357,982,438,846,100,818,801,408,067,361,901,559,209,250,966,989,702,452,
421,323,783,649,688,311,318,567,056,252,340,612,697,477,451,539,705,685,208,
037,223,219,885,104,063,055,045,835,289,970,312,179,646,095,215,492,306,745,
594,139,767,308,456,307,060,666,324,772,038,534,882,107,444,135,247,065,753,
140,138,100,429,535,045,197,461,139,945,470,912,980,946,908,785,305,785,221,
876,075,002,742,786,656,713,631,586,804,476,261,416,014,039,357,905,338,332,
609,122,886,779,928,376,194,804,801,220,048,551,939,864,137,947,001,185,477,
121,763,161,179,095,562,835,443,306,339,684,124,737,704,487,136,961,134,123,
865,098,699,227,442,642,679,762,231,647,966,953,266,735,192,980,697,225,253,
680,298,058,776,727,178,195,806,959,432,265,172,519,245,120,516,820,481,103,
455,115,962,340,405,303,344,936,255,427,904,367,447,008,055,310,951,436,055,
092,632,811,749,162,941,922,666,186,097,535,786,739,350,319,724,618,301,155,
783,711,418,039,238,167,509,400,933,957,239,842,019,871,733,937,032,798,996,
733,382,289,889,815,263,331,447,336,356,351,234,533,759,789,502,923,572,218,
277,239,003,205,753,915,848,085,736,514,404,317,370,154,498,394,088,193,020,
657,850,553,478,400,324,918,444,683,398,838,351,628,602,256,833,803,386,039,
604,419,627,426,326,741,999,244,549,227,219,501,129,804,576,572,251,239,097,
991,907,633,032,784,660,814,196,968,057,976,282,400,917,311,575,822,675,023,
394,071,718,552,496,721,384,793,351,630,665,420,505,366,363,695,473,052,538,
907,645,027,740,739,288,402,836,612,805,962,429,926,847,376,496,760,343,066,
639,181,370,843,718,828,686,947,662,481,424,199,435,956,823,532,134,941,187,
437,428,592,211,334,366,554,485,382,683,754,426,322,992,742,850,256,514,686,
481,729,930,156,182,011,096,185,399,171,203,572,975,393,176,004,850,747,364,
002,300,782,755,077,827,356,620,888,213,268,064,728,917,635,318,408,509,227,
510,380,638,246,692,759,609,069,456,732,192,724,019,835,326,611,355,536,783,
601,768,136,351,730,395,805,821,827,590,433,959,530,985,283,457,713,157,789,
425,981,948,873,341,535,254,964,634,695,836,728,785,906,750,662,890,152,796,
489,991,002,218,289,091,643,715,561,632,110,827,397,068,888,651,311,115,770,
200,345,350,769,265,846,559,864,690,281,079,366,982,423,874,934,631,992,340,
143,612,380,599,737,216,489,637,696,392,849,382,309,041,586,428,497,326,122,
777,356,208,439,414,087,285,174,035,224,259,694,104,094,978,209,038,067,164,
466,885,432,294,078,816,852,835,874,666,811,978,340,937,722,235,894,503,866,
808,007,386,262,208,031,010,092,723,899,267,145,822,689,035,756,497,484,861,
960,830,858,280,315,189,280,703,852,791,706,681,198,373,444,594,892,561,154,
634,990,316,543,815,832,264,665,762,746,385,276,573,454,268,479,264,785,379,
733,604,406,777,154,630,325,692,122,037,156,098,565,548,239,773,792,590,121,
076,723,326,864,298,896,582,633,353,039,869,574,734,485,298,316,946,901,044,
289,127,302,484,317,058,541,963,136,014,403,774,338,488,322,634,975,242,373,
923,741,472,784,740,600,696,383,311,759,660,441,085,028,330,051,219,612,645,
441,026,071,802,703,288,564,691,906,884,618,631,712,664,974,852,563,017,379,
715,001,666,761,877,976,656,329,583,207,741,947,045,828,951,537,091,830,286,
076,818,029,871,063,787,476,041,665,157,259,657,502,224,454,578,551,078,952,
151,303,135,113,826,551,711,839,121,623,257,238,327,657,142,946,731,300,914,
506,568,205,693,119,334,517,386,740,641,609,840,366,597,388,228,945,721,720,
420,348,794,709,906,146,614,962,515,937,419,022,994,128,406,269,514,754,577,
276,546,434,575,681,143,955,518,006,150,953,106,810,973,462,859,071,156,618,
495,456,278,982,936,400,566,178,925,105,027,717,318,140,320,918,096,202,140,
970,637,229,800,133,966,886,161,774,230,983,926,306,821,156,523,013,797,056,
460,793,820,406,760,462,526,307,065,697,208,538,179,253,060,056,350,930,341,
304,639,932,442,229,597,456,144,439,735,569,271,751,956,599,863,787,470,076,
234,977,299,082,443,010,341,559,349,309,055,945,757,210,722,056,406,396,196,
932,166,865,980,723,543,772,799,056,566,553,189,504,368,919,087,811,935,905,
666,136,806,186,160,484,556,671,126,506,847,292,510,190,869,145,671,436,793,
914,167,065,445,921,157,305,351,095,342,432,943,596,338,246,974,923,648,813,
150,404,421,958,536,544,115,703,802,748,285,641,656,988,618,133,452,452,693,
907,552,168,765,561,231,979,994,956,438,003,348,181,837,021,944,646,081,648,
296,520,339,531,957,442,855,351,407,148,739,994,675,032,410,450,368,090,340,
053,627,465,756,563,498,358,245,730,438,011,945,799,858,547,869,293,435,740,
077,794,969,095,419,277,179,995,991,008,406,620,593,979,677,303,910,637,915,
395,534,218,330,973,769,274,728,525,400,526,682,125,191,162,843,894,390,027,
428,825,084,948,910,734,083,377,286,494,267,366,916,169,099,271,726,647,954,
719,067,639,026,436,250,133,256,412,988,902,023,897,207,235,763,568,035,393,
033,016,544,166,106,359,416,887,634,436,767,985,791,721,147,625,238,108,921,
612,892,947,131,256,441,856,417,804,840,628,102,704,608,564,477,739,403,125,
388,588,182,374,480,031,325,429,077,524,607,505,196,696,842,743,890,099,456,
281,231,288,754,363,409,166,047,336,090,472,386,536,138,281,097,775,687,880,
366,998,810,461,421,961,932,104,336,311,661,665,231,348,944,174,137,637,516,
564,554,430,103,464,903,541,332,456,948,149,675,816,047,031,955,512,069,462,
636,703,856,330,551,186,429,029,791,616,164,941,283,491,013,005,657,680,713,
300,104,726,538,421,859,656,571,609,612,891,979,379,646,592,111,511,350,376,
053,955,018,457,508,203,340,354,981,648,327,779,092,354,565,633,747,381,161,
016,461,493,263,370,820,849,929,480,487,143,127,179,621,181,417,120,888,244,
054,173,135,878,069,921,797,326,874,790,592,443,709,143,604,948,079,955,808,
720,633,839,189,784,308,812,934,505,246,670,470,430,186,989,973,483,514,708,
995,342,534,210,053,398,640,405,124,822,681,018,361,037,829,620,166,156,614,
977,052,726,242,879,500,068,998,627,108,699,010,648,390,608,867,145,545,142,
856,231,625,515,877,136,553,564,787,396,983,659,250,750,579,805,334,582,587,
035,243,527,482,276,574,778,649,101,574,993,071,262,583,095,447,041,134,613,
923,911,491,114,730,814,018,859,948,633,331,113,620,012,752,298,950,041,745,
634,436,997,116,394,143,012,845,683,890,567,587,916,069,938,946,297,255,078,
900,718,028,946,790,712,851,343,857,962,407,460,925,514,062,424,593,248,166,
114,684,247,074,109,641,586,038,313,790,227,759,282,877,439,189,675,003,492,
783,720,951,902,560,381,670,404,666,743,437,812,288,692,932,695,732,244,617,
476,058,304,142,346,347,729,380,632,712,754,191,768,760,730,473,278,786,139,
951,310,504,598,056,098,267,500,290,327,302,238,006,140,546,690,005,506,985,
364,145,442,947,695,468,768,582,567,712,383,381,482,811,477,019,072,548,242,
279,185,224,892,294,516,426,028,354,061,152,690,942,863,670,200,592,815,041,
678,895,790,271,223,941,491,996,211,828,488,542,332,556,946,131,145,671,618,
553,453,759,735,192,215,602,589,004,018,373,067,935,495,439,868,396,256,875,
214,619,467,491,642,934,958,281,447,489,533,281,825,162,162,896,790,400,809,
285,364,888,222,621,828,660,711,394,441,586,538,432,897,789,355,155,342,932,
574,319,448,713,333,434,057,379,141,506,226,303,699,973,295,488,268,451,081,
161,352,866,611,392,833,971,380,388,999,172,521,233,909,495,790,385,510,430,
666,655,386,675,040,210,913,748,758,988,517,771,896,330,504,836,590,701,410,
673,420,006,334,474,169,202,720,103,053,537,836,046,545,899,004,361,912,177,
631,885,722,768,305,982,010,498,471,063,384,546,196,229,589,394,423,140,058,
455,548,949,047,057,384,630,063,447,369,215,339,332,284,441,817,057,484,256,
916,150,143,290,273,825,335,060,404,280,373,364,458,308,243,998,336,295,426,
891,242,223,841,690,176,326,239,161,788,051,334,786,049,728,248,829,369,735,
511,464,889,995,907,968,229,749,909,022,360,797,743,765,463,470,315,283,898,
098,746,408,530,752,982,092,268,197,012,228,233,015,059,709,604,467,331,361,
741,189,656,842,459,925,591,262,791,212,378,038,500,272,836,895,332,178,277,
614,923,747,885,717,823,650,482,747,793,609,609,775,970,369,128,485,315,941,
117,656,853,413,274,852,118,958,883,190,011,158,673,254,698,170,253,692,571,
241,861,508,151,814,693,870,715,110,228,403,257,071,534,524,541,482,530,197,
125,104,194,060,299,483,178,056,653,333,759,270,836,086,922,717,451,898,047,
907,483,557,797,464,097,239,564,905,492,416,213,636,322,681,301,044,631,902,
360,914,422,140,660,307,152,622,265,359,089,935,358,751,422,209,579,477,709,
241,016,308,630,218,408,335,850,730,428,494,133,971,519,761,964,204,804,297,
955,328,959,433,819,323,954,111,634,962,772,101,251,480,341,078,192,315,185,
047,682,136,537,616,186,524,082,989,064,978,361,896,865,059,289,260,662,846,
800,438,392,449,315,772,148,123,419,679,104,355,395,444,602,710,893,405,796,
282,418,048,495,518,414,700,997,353,156,248,874,905,541,927,074,806,034,827,
486,847,708,437,284,007,106,176,389,827,235,558,884,323,220,785,473,382,122,
623,871,098,351,894,471,725,626,579,063,961,045,859,715,055,139,182,403,154,
127,855,869,273,565,577,105,296,615,482,549,055,481,152,349,604,635,373,167,
909,971,519,640,682,381,221,945,809,132,142,463,044,839,790,891,737,002,354,
246,917,852,724,297,521,517,975,192,061,776,553,058,680,323,319,373,452,796,
382,443,600,734,323,507,947,523,400,042,096,764,967,187,018,062,067,389,569,
931,580,033,188,935,880,331,371,632,551,788,005,087,631,539,926,905,971,737,
601,182,420,061,767,291,356,935,393,481,534,680,152,286,452,828,430,313,196,
573,553,904,464,414,568,764,640,809,607,588,608,645,350,234,873,562,051,791,
766,911,951,804,413,869,047,253,641,057,007,143,666,841,567,062,496,840,460,
580,160,673,868,859,701,918,724,087,238,117,678,883,511,710,330,987,887,239,
860,618,611,536,260,405,611,710,510,481,753,156,959,453,828,108,116,202,731,
339,622,426,303,544,605,905,044,070,202,519,917,747,302,322,797,532,378,867,
379,487,327,645,970,955,164,432,211,242,356,590,996,347,604,972,893,254,636,
715,205,751,733,678,869,743,932,965,143,636,392,247,658,599,922,280,149,259,
015,461,817,602,232,364,512,965,005,880,331,313,542,997,230,317,564,578,204,
757,709,409,479,475,020,078,075,369,712,058,916,060,263,573,054,373,428,076,
763,366,777,057,750,431,190,666,277,367,625,270,826,900,915,800,764,776,199,
975,187,549,051,125,192,643,191,854,789,500,917,085,504,585,471,817,595,301,
927,383,243,235,821,764,702,062,381,570,975,467,788,924,784,065,408,965,241,
385,113,362,352,612,573,799,433,256,992,336,772,615,852,987,094,990,739,501,
012,123,329,656,903,911,245,410,286,863,631,650,406,802,976,330,894,100,456,
597,259,530,784,393,338,205,973,773,808,183,720,153,792,512,529,241,051,265,
637,358,955,863,980,691,346,954,225,759,506,635,469,044,564,699,781,712,605,
008,139,934,107,648,687,559,307,922,495,371,611,008,040,326,415,939,122,561,
108,276,245,796,667,546,332,130,324,992,921,627,140,254,153,328,786,977,289,
161,928,957,999,439,722,160,248,627,087,914,023,732,652,357,001,830,480,564,
754,228,608,900,765,018,058,526,860,333,414,086,398,626,098,208,827,216,011,
355,665,318,498,777,732,798,212,860,423,557,378,226,323,173,714,353,629,011,
373,681,483,219,724,033,929,807,429,402,020,447,591,496,000,843,173,606,009,
927,372,399,149,700,248,872,532,775,326,232,673,989,915,013,388,170,554,742,
526,326,544,066,521,862,612,819,765,924,701,510,861,175,255,854,346,990,015,
343,475,582,949,390,089,137,010,014,125,249,809,798,356,163,905,270,983,873,
901,363,821,482,414,347,086,428,854,230,805,157,397,542,068,195,172,415,360,
476,996,021,013,129,908,268,594,537,009,979,716,704,453,819,346,552,546,983,
814,499,059,433,243,018,637,089,133,532,178,008,376,347,814,921,153,348,944,
910,748,596,599,310,383,577,620,791,945,214,824,532,132,725,035,698,712,431,
632,434,872,964,661,739,820,978,987,827,166,910,448,506,157,718,371,636,941,
240,816,428,000,158,844,901,985,110,461,083,028,800,199,659,467,971,431,407,
477,993,155,412,601,241,865,899,845,642,103,285,611,207,176,434,017,195,381,
918,852,640,010,608,247,295,845,921,941,779,142,597,583,282,326,517,286,363,
370,563,881,663,141,740,143,040,970,385,305,992,173,025,118,136,844,321,157,
627,200,554,012,405,976,609,110,509,884,876,889,043,824,446,660,212,538,551,
910,605,036,057,618,386,064,737,796,142,250,018,405,765,190,408,955,632,187,
983,164,659,649,587,268,433,316,367,963,604,749,985,280,870,166,731,009,467,
059,844,449,466,154,995,666,780,206,860,034,800,428,660,727,430,680,751,996,
851,795,253,492,612,874,078,357,741,151,156,357,135,174,949,221,230,205,166,
282,544,846,187,317,058,284,429,625,493,016,233,436,434,779,095,281,443,740,
651,160,272,813,852,843,896,679,464,648,758,272,161,848,584,292,368,797,357,
430,791,592,241,217,291,299,219,004,211,027,805,881,520,781,847,211,154,381,
666,989,887,476,123,452,349,211,700,315,622,377,939,473,431,561,161,999,173,
011,297,739,857,872,303,518,620,329,962,152,571,977,988,242,685,608,294,857,
571,015,656,647,229,260,144,865,344,428,482,287,132,802,003,235,600,693,760,
837,164,848,272,718,512,768,124,128,584,427,776,022,595,108,531,453,249,449,
846,190,599,571,753,554,767,709,791,121,524,437,096,827,392,243,707,074,567,
521,027,414,840,864,577,091,983,631,895,827,463,090,711,960,458,008,251,291,
508,242,974,943,819,291,257,795,600,494,926,303,779,577,496,556,697,376,961,
955,814,291,556,399,785,697,293,202,900,370,117,735,908,142,946,804,841,786,
015,272,137,070,776,122,678,063,432,744,853,689,641,794,157,852,544,234,261,
345,182,746,640,194,413,770,338,600,696,524,635,519,398,587,923,431,898,600,
051,533,502,792,367,706,001,101,463,008,527,025,693,934,635,826,537,829,587,
354,947,845,326,391,796,459,858,560,199,530,116,529,002,756,294,427,128,453,
164,000,567,072,338,343,449,812,670,550,261,415,510,744,432,563,709,871,172,
481,473,462,184,693,542,153,460,533,719,023,709,267,642,358,828,024,760,615,
538,645,225,301,535,583,942,911,458,184,821,042,224,414,544,655,696,246,158,
713,632,472,014,541,480,516,303,892,707,214,903,467,056,615,138,043,383,859,
951,764,634,788,270,046,237,033,293,296,161,854,043,021,362,822,309,650,562,
773,725,584,293,802,239,347,161,675,861,742,044,423,476,798,156,302,131,640,
312,263,275,673,001,964,073,056,326,243,209,893,200,950,424,099,587,761,274,
463,273,883,549,671,476,404,213,715,508,622,879,771,708,691,175,317,328,013,
020,881,504,152,246,335,037,808,140,229,890,633,539,347,399,495,406,249,145,
196,028,586,466,857,915,756,038,866,644,082,997,940,426,063,252,160,296,163,
969,724,246,713,421,564,968,635,532,311,537,505,523,832,632,018,228,082,625,
101,958,514,687,094,905,021,109,136,530,004,020,130,395,046,526,643,206,436,
890,180,960,038,387,623,679,803,819,707,509,917,571,348,386,777,311,383,163,
732,981,110,326,429,562,536,101,737,903,468,182,376,670,350,664,757,577,218,
730,847,753,338,876,966,120,905,872,921,525,739,542,956,022,253,413,155,491,
705,842,485,161,082,274,092,552,323,808,640,166,367,205,995,893,724,717,353,
899,167,575,162,912,374,970,777,277,330,217,762,542,990,672,437,761,568,704,
146,458,500,820,992,404,492,448,909,856,385,585,247,248,253,029,442,648,948,
669,482,913,472,868,148,471,501,088,487,158,513,357,941,065,728,468,616,054,
222,393,459,202,691,099,641,790,946,082,948,024,418,503,427,245,220,717,996,
919,994,760,936,729,586,306,218,073,049,366,746,111,862,395,300,592,485,906,
660,126,654,833,247,143,255,826,890,223,446,496,189,450,800,062,198,809,459,
140,677,835,333,785,655,314,654,524,766,770,805,511,106,036,819,610,010,321,
095,790,318,667,121,944,356,398,183,779,890,597,198,778,831,255,859,683,351,
944,492,195,912,477,051,728,100,306,979,962,682,141,637,468,934,800,665,184,
939,658,110,286,615,141,326,103,206,454,614,371,493,975,725,897,010,339,437,
035,427,083,877,591,305,055,999,057,363,287,267,060,214,764,014,754,029,432,
761,439,738,998,866,034,044,260,719,231,878,120,714,518,370,979,895,580,528,
439,634,135,310,758,317,581,464,481,848,406,816,570,695,706,458,255,495,517,
169,992,294,237,557,458,896,624,451,410,343,838,855,367,636,851,525,769,833,
527,948,581,859,312,601,928,639,280,547,155,714,537,396,569,582,997,600,144,
778,325,265,682,797,778,884,479,835,676,625,061,632,866,977,475,474,327,828,
580,261,233,046,719,230,814,483,321,084,298,557,242,083,160,819,863,239,885,
329,152,591,163,693,139,707,124,594,935,685,272,066,912,550,328,051,900,816,
179,179,266,416,806,141,215,877,804,403,886,659,611,161,737,252,536,958,968,
741,434,408,729,424,631,158,623,076,164,588,797,013,647,674,483,240,001,771,
990,768,735,122,876,060,124,767,652,920,051,315,764,235,975,245,172,193,531,
625,376,405,699,318,901,707,478,281,243,951,707,699,246,056,810,003,203,381,
711,824,238,230,998,764,529,269,281,443,256,712,957,904,122,042,324,903,615,
827,358,619,696,558,456,474,930,078,578,777,461,911,544,670,711,526,104,210,
397,679,887,484,622,589,002,296,424,822,594,308,775,357,905,158,157,493,598,
478,648,054,504,499,752,927,525,242,736,304,196,835,237,568,576,525,415,028,
623,910,343,766,960,053,591,507,834,300,377,624,750,557,506,222,904,847,794,
121,756,265,065,259,706,370,047,541,322,694,034,610,355,595,156,638,893,808,
939,587,953,084,230,355,870,433,427,863,432,635,218,980,917,771,598,885,260,
934,843,937,334,618,450,092,861,003,423,220,845,919,197,175,132,602,714,339,
602,438,430,799,696,402,846,857,971,518,600,736,462,093,883,814,471,161,334,
989,764,670,301,204,116,433,234,839,918,961,269,043,041,027,063,238,967,555,
727,415,311,752,420,580,054,947,589,565,776,405,189,819,276,534,195,223,998,
263,333,446,741,473,864,495,303,704,750,828,592,922,381,552,888,485,911,419,
522,414,534,642,076,467,465,192,219,133,014,085,971,583,538,139,791,250,157,
000,796,028,871,643,159,691,551,154,145,234,438,769,853,594,541,208,491,975,
194,588,016,781,426,336,872,734,819,331,246,204,262,777,195,919,843,636,941,
476,341,378,314,696,627,912,975,466,122,568,316,957,544,718,601,430,079,942,
679,009,868,976,272,531,115,555,739,793,465,648,114,701,735,389,641,477,130,
051,578,319,109,759,194,649,595,902,950,335,659,058,180,028,988,262,276,121,
808,484,043,618,003,352,402,401,785,586,161,474,304,606,637,276,705,677,700,
358,572,707,159,943,795,278,053,460,284,660,951,899,932,722,023,431,491,110,
119,650,302,074,994,611,294,123,475,359,741,155,161,159,757,024,338,376,523,
131,068,978,332,663,608,118,688,296,776,932,339,124,041,844,780,353,729,596,
063,951,913,787,154,581,227,523,438,990,124,424,475,339,796,110,392,590,756,
420,280,623,441,353,622,940,232,460,345,324,202,222,953,804,816,890,718,307,
982,989,111,255,553,926,825,020,765,260,613,579,146,583,917,836,504,150,535,
203,663,792,161,548,078,142,562,664,180,049,620,923,422,417,452,785,968,508,
111,787,408,481,527,637,237,030,108,384,697,446,294,500,632,669,232,810,332,
008,813,398,942,487,552,026,222,503,720,380,058,043,448,694,623,420,606,466,
782,993,773,341,145,788,369,910,332,678,896,518,885,809,299,485,625,738,703,
353,368,020,101,640,489,241,471,155,659,247,424,047,699,923,223,411,752,755,
889,021,153,718,942,700,717,960,583,613,271,980,778,236,832,044,952,614,621,
763,208,520,492,453,787,968,538,047,376,267,106,707,201,507,617,489,017,894,
270,020,612,748,172,566,617,505,136,502,433,281,559,478,489,553,723,037,416,
199,738,403,011,793,929,041,787,025,708,246,228,275,447,263,973,009,304,551,
881,649,411,420,357,367,636,521,429,904,630,322,765,814,738,279,304,888,529,
379,493,162,111,501,307,487,536,021,827,502,820,324,903,498,998,754,702,487,
345,380,863,049,829,844,911,214,252,659,963,544,347,828,506,889,915,963,327,
836,569,506,100,640,090,533,219,229,094,035,570,036,146,843,119,738,192,144,
302,611,388,284,007,566,883,798,221,832,505,290,210,638,851,558,103,043,135,
945,390,327,433,503,817,422,791,881,072,581,431,841,221,683,229,125,350,700,
398,338,295,454,071,544,212,069,860,566,219,939,362,372,007,255,917,277,181,
761,833,192,127,830,181,528,851,222,657,989,214,792,724,263,832,276,534,086,
731,726,058,023,376,672,089,343,394,799,251,591,446,515,388,244,271,745,861,
504,233,376,962,605,781,835,407,824,416,892,916,453,602,634,697,948,801,885,
844,901,763,045,490,707,975,969,721,204,592,129,542,510,138,577,020,157,713,
315,445,086,496,137,061,524,308,838,045,021,606,684,559,196,278,235,260,600,
292,851,508,297,616,019,855,846,231,087,081,565,582,237,584,150,296,566,927,
082,895,102,806,078,718,698,427,092,620,110,540,422,235,774,999,539,885,411,
924,697,560,921,340,266,439,218,990,513,729,810,498,813,586,122,992,777,120,
967,572,118,448,348,607,327,611,309,165,538,462,799,064,090,019,041,810,582,
295,295,004,179,158,675,941,772,434,456,416,137,879,346,519,576,660,235,719,
222,409,878,402,109,920,507,136,065,004,879,537,046,666,506,468,787,614,423,
027,972,717,871,151,879,639,617,752,085,493,925,122,153,543,923,807,948,046,
273,062,518,951,372,155,995,531,964,409,226,508,138,260,191,291,535,184,084,
847,510,543,326,549,246,013,162,146,146,812,182,162,391,106,157,905,226,585,
286,514,829,635,954,045,406,749,620,414,130,592,313,897,670,089,513,109,169,
877,750,304,381,185,881,359,668,434,642,305,620,977,104,629,871,438,446,909,
828,707,624,901,565,562,748,840,769,839,760,491,805,698,310,297,244,232,211,
220,687,130,714,664,002,335,836,259,322,056,546,070,252,981,459,494,638,478,
889,914,467,864,934,974,402,282,763,569,726,772,208,999,191,786,286,691,739,
256,824,274,037,598,155,702,278,979,881,869,664,827,685,416,244,397,533,234,
495,157,151,800,406,556,739,698,697,340,837,449,994,114,954,718,078,065,204,
797,496,419,777,882,284,790,241,946,333,645,062,944,878,513,609,848,077,983,
113,380,517,753,722,413,689,772,880,643,181,368,295,317,686,086,937,793,428,
447,980,822,552,165,157,199,844,116,155,041,743,574,195,585,761,743,082,561,
639,117,098,414,773,313,585,710,285,442,847,944,463,353,469,416,234,046,224,
253,036,475,653,063,782,334,390,947,462,231,590,141,155,766,314,713,975,337,
708,200,686,946,682,879,840,598,609,966,707,749,259,534,678,126,604,309,289,
909,643,997,941,009,697,575,281,703,054,406,445,746,151,644,328,094,756,527,
471,219,216,977,998,082,575,858,750,323,296,615,910,169,739,255,164,831,816,
311,570,668,796,392,967,856,253,309,609,334,413,897,369,158,820,533,906,527,
248,467,855,158,508,852,961,244,005,925,601,065,476,489,035,590,898,580,815,
150,059,388,486,704,822,168,074,339,627,866,268,929,378,243,699,422,722,045,
705,253,248,288,145,479,944,956,637,487,997,867,952,526,963,529,604,978,116,
658,555,263,588,925,595,699,830,729,123,746,085,825,652,834,156,991,788,552,
859,234,014,828,149,456,528,892,800,542,365,432,073,437,737,762,433,630,609,
947,702,910,017,094,235,901,751,490,020,311,866,064,567,464,525,019,575,113,
287,252,271,779,561,882,337,740,925,388,292,809,910,081,983,881,375,826,383,
753,074,610,031,398,191,309,784,422,493,471,902,853,717,548,581,041,934,425,
089,416,711,556,727,329,918,066,885,211,903,389,582,660,049,575,378,557,435,
000,261,925,579,888,216,874,125,413,913,667,519,038,686,237,873,190,665,314,
370,571,672,260,143,448,771,368,511,024,784,965,695,013,295,595,113,712,483,
681,475,105,573,802,473,046,122,319,585,816,319,800,806,961,336,687,902,220,
444,010,471,182,161,808,359,229,395,056,764,253,142,049,255,359,865,836,739,
399,300,764,177,008,923,123,355,532,443,809,492,135,060,706,424,424,893,305,
514,224,798,359,495,541,250,748,177,822,859,139,787,155,090,520,410,259,814,
780,350,385,357,737,047,083,663,516,262,911,354,548,819,810,836,850,607,695,
955,933,381,627,213,100,209,272,494,588,660,716,308,561,073,234,309,223,411,
023,989,193,415,642,731,013,319,006,338,831,035,670,064,590,441,038,977,703,
190,674,250,379,944,395,682,761,801,740,631,627,612,946,383,999,886,285,078,
081,320,439,973,882,752,134,474,454,807,673,202,003,159,825,986,874,559,309,
618,280,129,840,601,728,289,332,129,698,378,151,932,725,109,164,922,297,824,
189,583,173,931,572,078,457,710,723,733,346,083,747,079,727,086,410,856,555,
808,496,542,356,052,257,002,567,482,872,938,330,382,946,727,018,445,933,595,
901,655,718,267,338,687,191,572,366,897,217,529,353,945,763,406,401,264,393,
405,294,588,764,563,079,916,076,368,251,549,936,649,594,561,423,835,292,390,
550,458,036,098,093,520,615,737,159,729,941,177,149,971,825,295,646,949,517,
303,004,531,144,586,282,168,297,057,436,824,549,006,947,607,165,915,883,490,
269,176,498,637,023,547,123,308,589,335,163,760,512,773,441,562,948,554,192,
796,545,610,593,873,167,804,233,573,824,662,119,247,058,573,118,145,069,375,
178,797,170,810,807,758,210,333,648,183,488,953,923,218,421,000,895,780,936,
978,003,488,500,363,652,429,105,668,884,856,088,955,946,860,107,944,580,335,
157,300,735,744,269,404,578,140,166,599,944,763,566,875,220,722,518,209,312,
763,261,125,790,482,967,110,483,961,509,174,062,989,839,192,901,617,264,845,
083,850,854,409,609,418,451,314,510,751,526,862,627,289,286,300,265,550,934,
428,411,204,413,963,670,943,698,759,247,353,739,353,836,757,458,163,822,309,
709,450,878,617,387,322,227,266,205,497,612,612,735,212,364,170,339,376,941,
217,520,548,662,877,038,623,539,628,855,481,429,467,112,319,896,116,745,528,
322,817,356,333,023,240,270,895,174,083,253,117,023,426,053,737,120,621,641,
716,833,300,892,988,405,342,602,357,168,330,052,034,987,328,560,591,084,030,
010,738,443,615,458,653,114,661,279,961,733,447,416,135,269,164,693,987,987,
687,852,671,979,956,560,248,319,885,257,071,992,306,360,403,073,689,470,651,
366,331,655,922,014,006,805,901,469,219,460,587,896,052,386,252,513,575,544,
773,459,457,124,357,999,575,086,195,777,616,240,216,243,302,915,101,598,666,
856,531,430,540,555,703,491,993,210,923,371,846,243,873,473,193,546,072,238,
869,031,422,894,939,667,937,627,477,700,878,020,019,350,661,363,588,327,161,
729,474,918,852,921,428,121,385,277,489,482,397,591,729,117,477,799,132,064,
327,897,896,701,650,844,186,001,089,141,325,948,438,619,280,287,072,966,190,
517,781,418,441,472,948,535,849,940,410,774,633,192,521,649,373,764,945,032,
794,514,731,319,765,533,841,196,803,075,793,487,321,529,735,767,654,751,692,
060,196,702,557,216,926,554,906,031,267,031,827,386,586,583,469,389,877,350,
819,938,965,977,017,822,628,413,745,023,652,547,367,138,411,940,753,692,072,
808,707,279,241,991,127,236,226,458,995,302,556,269,468,503,007,798,736,115,
393,294,900,952,090,084,772,389,717,526,714,094,564,592,805,751,109,750,122,
175,296,028,164,063,821,406,279,937,025,308,683,634,393,106,535,482,430,855,
783,335,975,412,536,904,701,123,475,930,054,905,925,106,212,545,547,952,466,
347,100,250,622,057,782,567,875,973,768,953,769,790,344,678,792,168,471,388,
560,155,343,171,179,440,065,187,048,211,715,143,156,380,363,207,288,855,129,
832,592,648,730,096,374,293,893,194,400,654,611,445,260,057,643,897,437,436,
547,208,107,521,542,691,644,847,481,827,480,653,011,436,146,857,983,354,377,
477,462,998,421,611,944,602,517,099,538,695,687,690,961,146,861,197,814,238,
141,881,996,605,867,501,656,744,681,902,168,642,340,787,033,131,764,702,188,
905,192,257,845,457,993,876,371,743,014,661,811,990,039,037,134,510,320,486,
521,905,216,560,348,955,030,487,624,422,701,422,803,677,258,791,511,842,763,
953,104,046,547,650,625,233,977,136,440,586,038,890,108,537,972,353,413,722,
395,831,483,097,904,496,258,514,115,113,157,402,437,243,685,925,786,616,421,
607,176,374,146,763,186,260,899,911,301,503,233,148,771,243,480,426,262,907,
016,399,886,510,813,883,564,924,226,301,333,977,296,819,784,059,596,343,156,
984,255,623,771,643,983,386,564,961,366,724,870,640,540,809,571,463,750,461,
827,454,944,605,443,780,649,404,589,053,845,200,563,647,621,713,704,270,132,
012,527,722,290,311,382,412,252,735,786,940,872,050,617,900,179,957,114,536,
642,057,654,163,881,921,735,352,578,672,008,908,862,511,690,079,331,220,347,
919,372,855,739,747,069,674,785,472,910,268,347,410,514,008,038,814,578,813,
514,897,753,993,607,841,874,119,843,516,342,547,616,461,382,060,580,372,958,
840,741,119,220,097,350,314,341,335,191,557,006,641,381,395,564,255,145,148,
218,153,536,636,644,941,933,446,771,017,583,078,156,242,819,961,536,692,031,
754,367,365,448,928,858,791,889,196,928,623,585,077,302,634,935,532,296,869,
865,954,723,227,373,875,766,968,579,166,281,080,811,669,579,660,801,100,957,
896,057,941,604,840,849,572,563,649,661,428,001,170,105,749,067,661,123,026,
372,084,708,092,917,803,633,123,176,150,494,177,133,873,512,846,084,389,299,
619,294,967,650,362,758,701,029,319,548,244,619,449,294,810,332,892,779,670,
135,123,256,396,048,738,445,651,495,578,772,846,459,674,090,118,699,656,777,
109,075,710,576,780,834,600,841,214,403,858,518,902,089,498,093,895,015,263,
450,342,344,094,871,083,075,480,053,184,100,561,712,851,577,231,047,836,451,
052,868,172,305,707,325,709,597,132,068,091,444,086,447,660,357,691,563,291,
578,256,288,458,301,699,543,623,534,801,200,185,105,537,666,870,306,548,920,
992,362,965,110,408,584,703,654,048,207,784,266,794,476,648,000,764,377,956,
900,922,067,553,573,697,529,940,804,011,360,834,931,811,533,397,065,259,205,
702,448,458,151,033,954,703,481,625,114,070,835,927,049,211,142,188,755,807,
573,969,303,188,294,379,593,881,404,959,422,200,665,585,997,099,964,001,119,
558,912,749,745,847,674,992,500,787,128,301,342,165,304,201,797,202,673,365,
302,085,836,046,902,307,905,464,962,462,344,713,736,515,445,110,604,220,581,
330,472,672,219,290,141,284,822,278,811,603,198,695,627,733,141,900,637,830,
157,343,775,432,782,348,561,078,456,066,707,903,042,532,281,312,357,279,763,
499,329,375,970,416,661,241,432,553,874,869,350,123,854,183,109,940,864,002,
523,109,727,864,810,995,217,081,141,850,595,289,335,444,356,338,442,266,459,
772,978,089,789,733,623,080,769,611,890,440,188,406,280,233,789,948,096,840,
824,358,677,682,449,792,443,636,984,065,761,382,042,879,331,384,848,464,562,
214,753,526,870,226,622,501,223,304,572,727,917,193,653,830,478,753,693,899,
146,491,225,964,181,359,856,125,178,774,417,763,499,462,945,469,523,452,315,
017,506,331,437,245,529,642,976,037,535,116,307,610,711,686,117,315,634,867,
881,681,743,740,687,981,434,087,102,686,403,892,799,520,195,124,180,181,123,
524,606,751,894,152,223,468,176,560,749,159,729,286,492,808,694,604,392,494,
166,819,983,077,797,444,291,317,681,673,472,466,746,801,505,024,097,802,699,
677,038,969,489,221,528,862,416,644,831,805,350,364,286,669,925,393,548,651,
644,904,346,654,157,537,889,682,078,830,474,987,094,740,527,396,025,617,195,
480,259,081,600,054,863,276,778,500,734,955,517,323,162,067,509,173,555,986,
256,289,133,969,166,936,423,951,501,914,703,392,901,133,349,671,846,029,441,
530,331,182,312,169,333,990,388,441,981,332,405,918,772,017,348,670,068,202,
782,749,655,809,767,946,167,731,193,706,144,488,837,500,990,790,195,862,506,
990,100,979,904,850,683,275,419,049,947,105,995,598,383,067,593,985,126,482,
639,034,997,377,196,060,590,014,549,414,278,755,131,591,473,790,179,358,875,
880,454,602,833,527,699,211,705,433,339,468,696,847,059,016,579,125,680,823,
792,833,260,817,241,670,893,034,779,170,859,164,264,844,498,655,777,739,221,
972,173,059,190,952,545,095,095,499,888,547,242,602,973,606,799,867,243,594,
694,584,569,371,511,932,835,062,069,927,795,562,303,122,591,608,921,098,103,
436,085,379,034,131,795,813,620,639,169,378,845,303,550,805,802,001,982,567,
086,093,864,706,428,479,881,049,614,986,895,395,510,543,293,700,600,445,916,
591,784,206,769,282,987,580,392,345,058,894,653,655,682,210,868,551,633,184,
943,773,841,831,797,258,262,765,208,712,945,834,813,803,386,918,743,993,932,
936,068,230,519,066,913,425,909,735,574,770,521,193,578,922,502,448,631,750,
648,787,680,329,852,110,387,575,603,413,720,035,536,542,754,395,173,359,484,
191,075,605,338,863,403,149,840,420,942,887,873,340,436,238,469,472,237,133,
140,000,355,458,601,675,553,242,654,594,377,249,150,447,221,851,230,829,547,
315,077,944,076,543,109,239,800,979,610,400,546,130,821,449,631,692,356,992,
717,888,551,376,659,299,708,089,085,528,541,354,577,705,226,220,250,420,699,
312,530,390,080,442,832,764,815,079,549,268,577,236,499,524,901,294,102,293,
200,440,206,300,199,777,504,390,516,428,941,595,256,096,634,861,525,607,505,
739,585,070,408,443,984,576,296,365,805,344,440,660,907,780,681,220,096,027,
104,213,892,716,192,360,382,783,273,690,573,758,895,355,966,445,057,842,767,
271,457,513,273,211,618,992,885,951,170,002,591,222,295,398,453,977,356,800,
548,162,614,135,466,888,674,396,318,864,184,123,891,017,186,854,788,733,712,
500,243,824,830,014,553,477,291,359,902,957,758,256,752,531,106,425,162,795,
874,252,070,800,566,289,029,376,231,260,493,889,075,712,659,597,911,254,108,
536,953,141,738,369,842,227,280,715,242,997,230,560,976,588,291,638,039,122,
625,631,368,758,529,719,859,410,176,505,654,623,441,941,446,381,795,550,225,
179,737,708,255,731,488,570,186,128,873,071,531,123,983,936,258,404,991,029,
238,267,046,038,557,690,014,311,716,432,444,925,801,752,793,037,972,352,893,
076,299,065,777,229,534,224,060,266,424,835,510,738,453,549,757,005,045,693,
139,732,191,196,480,544,169,573,193,315,237,568,517,304,862,219,142,945,908,
605,866,140,361,107,292,090,883,636,037,654,125,109,416,231,169,876,831,328,
018,859,519,880,774,149,606,630,514,986,369,501,165,432,654,333,728,550,895,
053,592,009,834,539,345,244,954,182,029,387,741,861,329,748,238,775,159,370,
170,755,565,775,512,479,598,034,133,226,305,611,629,996,660,341,539,480,231,
044,804,000,417,875,991,628,635,771,351,110,833,142,080,767,195,016,193,008,
803,548,388,530,959,683,277,967,704,109,430,927,005,580,332,766,663,337,285,
954,868,982,744,744,170,443,999,885,997,966,794,598,449,095,131,928,945,408,
473,630,034,471,702,378,983,566,903,300,696,880,507,171,503,516,665,122,616,
887,832,142,712,403,808,965,500,017,779,832,973,597,595,449,444,304,242,379,
646,971,935,589,382,697,787,894,839,860,774,774,324,353,963,092,320,757,447,
931,328,227,536,349,164,792,536,295,056,787,554,754,029,067,669,504,447,817,
016,493,926,595,930,213,641,803,825,295,352,115,114,652,313,181,175,495,214,
701,300,591,929,193,785,624,105,671,043,564,050,487,112,246,386,923,750,255,
773,461,414,968,957,431,103,884,215,762,710,484,973,931,328,165,770,480,152,
714,792,374,511,133,950,523,279,315,252,627,251,868,230,430,008,885,028,563,
441,061,617,204,623,103,236,174,401,232,113,980,525,602,055,364,794,686,083,
046,834,373,779,525,524,539,434,718,408,864,640,681,151,705,079,949,573,231,
840,166,761,497,982,792,256,924,264,141,920,360,483,748,348,399,532,710,939,
895,706,554,867,265,332,804,768,057,465,266,767,431,921,179,532,388,900,420,
688,385,991,336,859,558,483,798,144,383,671,399,492,299,464,995,555,533,646,
868,518,410,047,022,207,781,636,375,979,625,588,941,058,630,848,402,428,357,
033,801,724,084,927,138,658,679,523,995,842,124,430,259,682,751,115,236,190,
484,347,159,739,547,552,565,312,590,466,622,042,355,917,855,522,081,226,567,
399,205,970,826,899,901,660,051,648,062,494,587,655,073,576,992,914,826,049,
794,053,197,234,975,560,888,827,020,645,272,706,636,822,228,661,552,677,371,
247,837,801,455,306,029,466,091,479,946,220,307,513,295,273,804,728,947,790,
402,190,857,392,848,186,045,793,943,873,379,095,804,481,513,375,651,490,629,
211,249,983,517,712,665,189,201,695,944,089,516,257,356,793,220,827,768,377,
209,200,707,924,240,709,771,471,019,105,446,741,919,463,731,972,985,429,594,
706,213,745,090,222,868,258,300,731,527,828,996,778,973,171,747,409,114,733,
510,498,901,040,444,773,683,788,585,139,940,987,497,565,467,674,047,050,541,
435,746,161,952,572,287,102,451,147,279,769,972,308,092,354,058,744,954,588,
666,059,588,018,273,900,208,939,370,815,889,035,100,866,032,275,417,464,514,
900,673,633,351,814,787,834,923,653,829,964,233,087,683,974,258,631,837,515,
337,222,873,445,522,788,001,417,110,182,565,809,787,776,168,539,917,288,436,
038,464,651,785,464,173,412,336,302,678,931,865,730,473,003,093,412,060,104,
939,108,273,837,098,555,725,127,257,485,395,888,485,099,794,895,734,621,963,
166,243,770,709,006,088,114,770,929,432,113,647,522,517,579,867,777,738,413,
316,023,407,150,829,066,369,430,542,351,726,047,061,639,310,230,123,183,326,
507,647,547,790,093,111,150,060,066,576,414,438,961,384,776,766,647,872,155,
752,347,028,312,182,597,574,265,786,106,809,337,781,067,754,164,508,344,077,
970,534,805,895,302,968,750,376,987,752,669,188,229,679,786,322,300,384,047,
181,680,094,414,623,293,047,141,566,208,706,659,710,204,750,254,132,741,011,
428,290,376,392,262,009,614,816,504,535,377,627,647,594,042,851,599,505,796,
588,362,705,388,121,287,853,207,668,280,454,553,280,476,215,805,109,845,762,
567,312,581,977,244,440,414,097,944,359,007,892,656,122,719,118,010,940,968,
096,626,982,744,355,814,426,438,551,662,023,396,564,216,905,101,414,066,127,
569,610,164,589,345,787,861,481,867,562,728,789,279,339,821,547,958,225,259,
776,971,389,321,923,319,816,726,757,469,738,429,984,872,927,732,702,003,962,
588,268,153,031,845,313,842,258,267,348,834,185,170,903,503,400,163,872,480,
504,529,478,490,373,589,601,580,596,768,391,288,100,764,644,464,236,252,422,
716,562,283,464,059,875,195,536,982,482,604,283,287,616,751,098,486,920,456,
811,001,216,366,011,559,900,972,415,539,618,731,081,596,624,036,804,744,323,
190,092,938,217,307,163,542,887,509,175,070,412,343,150,762,403,727,472,538,
672,013,083,152,981,539,071,378,293,864,436,459,048,444,387,035,319,697,206,
620,149,340,025,190,242,845,534,658,616,842,659,353,931,120,974,930,446,527,
620,316,066,111,793,107,917,616,509,657,043,856,769,657,101,673,599,957,350,
598,462,293,694,381,913,721,484,218,253,177,596,308,717,188,523,043,371,088,
909,177,440,963,345,937,517,924,212,522,987,855,441,753,025,038,788,535,507,
617,543,709,727,143,452,077,258,760,304,783,524,123,639,310,294,023,329,699,
096,799,283,416,173,627,847,066,313,962,513,632,872,374,390,435,383,608,694,
164,999,516,483,490,176,988,106,689,196,033,429,387,274,865,539,005,704,189,
070,572,854,222,284,699,389,633,246,338,875,941,016,006,578,599,790,900,246,
785,462,817,395,112,373,866,728,592,978,718,285,748,869,328,931,924,326,982,
391,303,363,338,603,545,939,803,687,588,720,583,758,455,896,970,247,215,366,
808,483,434,007,259,353,189,273,589,540,426,315,777,283,167,650,026,811,394,
091,760,530,417,200,944,712,868,774,704,773,447,461,758,327,284,377,623,185,
199,196,660,482,325,292,538,826,469,293,960,913,571,929,099,639,655,517,691,
810,072,323,507,758,779,577,512,978,122,403,878,654,740,379,299,975,802,167,
097,443,009,530,905,994,411,718,911,207,905,295,822,607,727,247,676,468,455,
026,779,499,402,888,925,222,622,659,420,726,540,066,301,239,116,688,890,335,
232,120,391,901,886,359,125,386,394,764,830,492,285,297,723,831,745,190,884,
860,983,506,329,172,818,807,276,141,925,918,699,522,851,013,942,241,005,118,
083,942,992,589,477,850,219,258,468,314,513,389,699,868,469,014,064,327,000,
425,460,142,852,497,844,739,734,485,394,836,776,055,606,162,628,769,452,888,
048,148,319,969,751,048,541,756,492,377,470,840,908,599,881,896,591,890,813,
469,009,368,063,079,579,213,998,318,871,972,230,002,260,788,107,049,925,098,
590,148,287,975,316,130,658,049,572,920,831,997,785,832,550,427,471,700,556,
953,495,758,362,795,421,407,168,375,763,205,051,921,206,642,426,429,869,219,
523,710,325,171,529,642,037,240,119,909,147,690,522,545,157,256,060,368,680,
425,484,155,445,505,813,005,133,063,716,647,217,945,858,014,168,804,768,680,
598,305,751,456,263,409,781,604,079,741,858,841,671,902,508,883,943,533,938,
725,541,810,494,999,521,414,448,653,680,932,660,045,504,594,497,615,516,866,
385,184,447,849,120,152,343,782,409,932,978,725,663,396,822,604,939,507,257,
645,470,540,593,923,467,445,340,693,256,082,442,795,182,316,939,215,908,939,
356,111,201,668,539,151,922,999,617,091,358,505,923,341,103,830,838,335,249,
660,262,961,228,480,841,962,525,575,551,919,784,309,417,873,619,326,348,486,
786,231,016,543,428,717,995,489,974,461,918,750,244,637,404,999,015,554,890,
486,100,572,654,585,460,876,818,102,288,250,197,499,155,168,870,678,057,366,
386,311,028,800,170,229,442,767,057,774,997,796,440,716,555,051,413,215,557,
401,321,042,959,469,728,251,277,755,048,059,391,428,043,179,009,547,876,417,
577,102,072,840,882,349,341,868,620,078,604,506,598,866,989,650,775,196,875,
769,964,746,018,202,076,252,952,584,140,732,697,804,274,770,454,514,520,606,
832,323,529,850,225,580,244,086,687,782,510,298,193,212,461,832,932,581,171,
759,670,349,890,691,617,002,937,826,603,906,165,421,073,766,314,928,918,001,
887,052,462,774,403,637,793,110,847,458,847,684,608,099,494,459,660,828,549,
976,860,820,185,839,126,234,463,665,508,908,075,906,400,349,410,453,749,777,
104,148,750,414,326,128,024,463,407,371,557,565,804,064,517,536,447,262,083,
244,975,615,175,135,510,831,196,442,788,905,589,953,745,576,943,045,587,334,
596,478,487,106,607,996,977,239,816,258,757,383,225,451,750,190,839,141,163,
317,320,257,389,471,313,282,402,758,230,742,694,857,169,483,484,377,586,271,
078,069,984,517,648,197,040,139,817,773,634,944,036,851,894,177,590,057,902,
907,358,544,190,005,954,680,193,977,365,189,405,942,447,793,020,318,986,749,
365,704,772,659,410,160,483,255,015,337,424,660,467,149,938,311,374,714,770,
630,694,909,104,487,547,647,547,410,910,608,901,110,871,332,315,965,752,703,
615,119,558,641,148,650,078,628,904,930,541,782,948,036,508,430,771,102,197,
287,096,180,322,348,099,077,812,481,255,909,545,215,569,582,582,283,927,271,
426,742,743,686,989,706,944,627,481,799,128,176,291,261,124,310,027,665,973,
384,438,105,578,346,555,039,965,958,367,438,013,299,540,712,836,439,843,890,
866,278,280,580,826,701,936,900,673,731,497,003,157,205,165,579,375,288,358,
304,380,774,229,344,206,657,761,525,536,285,657,595,519,632,460,887,764,068,
223,524,033,292,682,145,079,905,960,486,867,677,674,144,543,842,562,578,491,
244,379,652,006,263,936,149,673,170,364,890,799,726,470,943,123,077,172,502,
027,755,249,504,990,171,661,394,157,378,130,106,794,805,870,208,112,042,703,
824,363,855,996,978,230,925,155,481,216,770,627,225,162,523,167,143,155,163,
182,267,974,692,852,258,502,137,863,499,540,395,190,561,547,528,827,157,504,
202,532,415,455,104,691,017,400,333,741,464,849,159,836,558,951,030,760,478,
049,384,701,097,624,874,538,774,182,788,481,631,374,753,780,367,959,775,189,
061,769,270,220,772,501,426,917,779,116,550,358,072,473,742,164,108,198,141,
113,428,390,360,696,763,713,482,584,760,452,540,566,205,636,538,649,874,122,
193,952,665,191,382,790,416,362,800,833,595,146,028,955,288,284,190,639,053,
569,223,886,535,259,618,091,332,596,039,263,851,163,763,819,052,070,625,225,
722,095,372,155,090,387,386,005,090,731,536,260,698,640,099,056,618,397,541,
505,402,239,510,297,013,237,540,938,712,262,805,285,073,413,532,127,774,864,
048,612,096,429,301,319,576,919,804,563,846,165,365,114,384,320,198,392,653,
354,111,100,696,627,541,175,703,430,151,578,838,379,545,136,456,552,794,469,
824,884,394,077,285,700,659,079,210,403,576,874,792,940,291,962,529,718,514,
990,908,577,553,617,612,367,954,211,479,458,152,780,160,949,093,212,298,413,
740,585,841,817,175,940,743,354,843,907,596,888,734,582,813,998,261,557,141,
560,157,965,830,172,889,127,921,829,244,130,606,586,015,559,089,783,624,368,
480,163,382,583,095,031,903,156,766,571,706,844,476,044,675,304,204,437,723,
791,354,417,030,795,426,897,300,655,216,887,938,186,569,902,656,638,727,024,
417,222,735,150,223,419,287,740,788,682,265,568,531,044,315,283,494,586,720,
435,589,233,965,181,825,888,457,629,553,019,259,775,251,410,755,828,849,751,
502,636,455,090,696,421,676,307,701,270,404,426,399,807,571,216,738,850,971,
991,259,467,729,433,613,205,768,398,192,063,985,897,557,747,250,182,103,747,
033,687,846,165,818,879,207,756,665,969,850,487,542,529,264,948,313,388,632,
247,791,992,032,974,855,973,148,402,752,584,340,217,652,416,379,674,479,506,
433,284,986,077,859,564,098,829,581,043,940,813,297,547,994,161,207,338,930,
948,102,552,225,313,431,370,331,342,695,676,601,344,772,108,904,930,342,448,
562,489,689,256,016,827,959,877,971,688,373,215,252,953,555,128,036,887,067,
885,972,085,047,935,363,013,191,017,035,006,287,701,610,478,171,224,361,801,
378,300,368,496,232,288,814,824,509,415,718,435,498,948,201,731,556,307,437,
530,130,430,154,727,016,303,053,202,942,211,588,303,299,236,528,262,052,706,
089,981,265,619,044,790,090,045,116,685,018,555,474,134,042,227,524,298,687,
543,966,388,169,517,478,880,181,743,959,467,322,572,891,795,598,684,148,796,
022,059,867,708,001,026,988,841,853,584,369,545,609,263,244,024,661,897,533,
607,060,595,409,272,113,094,908,693,860,464,995,186,661,500,474,849,918,384,
237,696,144,065,053,106,075,821,405,483,515,137,151,318,208,604,596,419,002,
109,001,198,215,715,595,513,866,986,136,244,495,801,469,554,695,400,239,860,
578,221,926,981,550,495,252,650,050,225,559,818,028,512,948,688,469,203,468,
762,314,421,971,264,162,674,914,337,628,417,443,336,319,827,636,136,945,001,
696,034,727,670,929,932,051,233,414,823,562,326,723,348,111,284,052,940,770,
575,389,031,891,469,854,629,727,349,367,046,403,186,721,200,237,748,280,100,
971,296,953,599,391,965,534,528,279,320,707,927,806,441,871,820,138,381,102,
814,993,616,602,056,533,326,733,403,063,976,198,544,618,571,365,024,601,624,
700,862,274,684,195,942,567,735,167,102,217,266,695,183,060,515,587,974,725,
608,558,008,418,604,977,317,838,364,274,723,155,770,707,914,161,890,586,814,
108,585,242,948,250,453,006,956,422,676,806,093,830,901,425,210,403,102,064,
388,626,818,470,386,564,250,971,212,428,343,144,305,094,503,777,063,704,819,
148,381,173,723,001,370,077,410,992,165,405,881,416,623,800,490,581,413,806,
008,337,290,598,517,110,113,733,764,965,597,109,439,878,773,486,138,429,731,
778,608,875,436,997,297,743,972,819,684,821,735,287,591,118,703,846,601,682,
817,385,485,561,012,059,378,973,469,803,356,094,058,874,839,343,798,198,996,
775,194,036,552,662,332,086,893,718,045,250,122,732,943,310,795,027,057,273,
209,496,123,211,867,318,196,352,823,152,055,355,607,623,276,984,180,631,291,
341,135,053,402,169,419,467,433,809,673,264,637,513,980,846,947,922,174,049,
410,480,639,806,796,867,275,484,231,627,089,870,369,806,155,524,909,125,398,
781,046,008,574,789,610,014,596,715,122,445,136,592,689,731,550,299,665,663,
545,831,508,317,830,143,838,437,955,182,692,037,104,308,873,089,380,241,584,
623,778,014,233,601,668,225,001,659,520,588,386,086,667,718,927,549,175,723,
917,003,853,411,482,254,301,569,246,375,405,754,873,925,442,060,171,933,871,
621,642,526,046,995,803,706,559,064,959,211,045,413,748,852,042,973,778,644,
664,080,433,279,367,436,741,016,698,825,326,342,260,593,092,271,681,169,958,
753,723,245,845,459,477,127,458,687,825,282,763,010,844,591,699,530,313,908,
091,988,370,051,498,525,157,568,367,103,466,532,602,237,919,839,159,066,448,
921,186,652,844,904,162,186,542,523,938,181,505,573,001,990,900,169,602,460,
425,225,879,611,158,446,775,247,704,698,450,669,602,294,715,451,758,138,586,
272,512,572,785,453,204,857,538,493,132,484,998,466,865,706,125,946,256,150,
012,042,964,512,552,652,878,842,443,518,867,989,537,815,270,269,142,829,988,
729,792,028,179,420,686,323,645,605,668,290,918,279,611,875,919,616,906,103,
096,299,268,769,675,140,689,895,815,928,206,696,230,092,421,703,560,528,192,
822,088,694,730,959,894,783,362,473,471,209,091,069,583,334,887,051,359,328,
370,443,358,415,012,447,765,091,772,599,766,174,124,207,819,329,230,621,997,
914,487,902,817,850,262,598,554,361,294,154,904,675,757,557,925,867,612,882,
337,054,051,285,751,599,566,933,004,534,814,762,537,466,807,919,325,247,508,
230,404,468,223,204,217,391,552,847,601,101,444,877,188,077,872,972,087,902,
598,596,079,800,379,259,435,002,244,224,115,849,398,356,577,762,364,220,390,
847,255,009,241,843,879,137,210,955,867,201,767,046,092,120,504,947,858,736,
827,871,869,801,089,311,546,219,858,634,306,550,057,066,745,240,828,984,765,
021,231,367,044,089,835,042,295,494,188,986,240,009,671,655,465,768,617,636,
379,851,232,532,172,028,983,783,819,791,632,775,620,892,381,495,495,824,427,
651,405,836,374,269,958,720,807,561,757,785,923,024,420,631,692,014,971,371,
882,668,750,432,875,016,831,948,738,979,807,921,838,068,125,292,518,911,869,
243,814,134,621,301,089,552,985,420,131,132,357,438,273,053,487,707,282,353,
826,302,772,743,553,073,419,051,985,119,300,658,220,151,593,793,843,198,342,
756,360,825,520,097,360,003,177,711,309,396,755,152,282,575,548,378,420,456,
310,166,383,637,290,764,437,359,549,464,808,968,205,305,371,712,690,221,375,
112,617,141,222,404,388,367,600,379,532,480,481,064,321,706,319,655,262,554,
989,230,349,567,579,979,741,147,545,992,967,989,680,967,606,254,890,008,141,
845,789,884,149,010,217,828,753,898,798,068,774,021,140,734,973,907,875,315,
734,638,326,655,192,457,269,108,385,072,263,352,914,687,755,193,115,563,167,
300,572,771,324,544,988,881,376,806,721,817,815,134,389,109,180,962,407,910,
884,411,540,005,430,982,539,123,977,466,501,561,720,403,075,895,494,630,338,
638,210,926,073,141,388,810,376,528,475,704,352,262,051,611,186,746,978,422,
725,720,165,892,191,206,713,979,485,221,565,941,294,026,828,865,283,586,924,
015,895,370,329,426,016,801,119,004,398,135,680,633,981,329,099,402,869,734,
258,408,182,997,939,480,265,064,768,972,846,929,798,602,358,641,773,099,266,
547,623,831,644,580,320,805,000,902,340,396,204,314,868,225,144,206,826,254,
355,095,331,630,602,624,634,602,451,841,287,052,534,409,133,545,759,987,891,
449,455,196,606,599,799,078,213,218,994,591,452,472,216,623,881,669,809,538,
327,839,525,807,776,763,593,100,113,432,497,983,822,685,395,972,824,532,031,
529,131,835,923,083,615,087,285,654,980,689,945,636,703,918,901,236,761,030,
570,017,479,739,299,949,872,224,028,530,964,845,380,876,928,221,294,529,925,
218,825,930,541,491,697,322,685,762,967,404,360,795,360,474,280,144,849,528,
321,162,787,351,995,128,847,781,391,010,037,946,418,526,866,955,848,728,566,
825,353,944,527,258,648,518,720,745,742,889,634,387,753,196,171,218,595,231,
648,256,907,396,333,829,112,343,813,571,999,779,134,658,577,681,956,587,389,
035,191,438,500,401,724,708,076,261,617,077,356,364,274,525,375,594,327,181,
257,068,968,247,111,541,693,609,901,789,273,815,132,424,732,678,405,851,876,
733,829,349,269,181,004,637,267,215,091,784,315,279,417,267,188,955,158,316,
206,349,497,375,842,600,929,574,542,727,446,216,600,132,491,920,846,734,080,
585,981,657,536,472,866,582,622,194,185,097,226,073,971,314,751,826,663,683,
015,928,077,455,860,298,246,526,081,367,184,932,356,258,826,727,732,398,399,
487,599,236,256,663,103,698,567,758,534,052,404,156,784,702,638,297,756,750,
455,726,531,620,376,160,556,685,605,981,666,158,167,774,071,496,091,016,627,
932,026,382,670,923,515,059,208,287,554,547,363,020,834,187,314,301,965,796,
646,886,731,784,600,240,213,601,916,172,699,446,410,428,993,426,307,672,462,
945,846,448,984,517,820,098,596,416,164,300,167,003,143,752,246,962,453,636,
720,023,258,244,422,600,140,791,354,854,126,343,644,307,251,967,355,523,354,
148,254,208,840,440,200,478,785,094,250,313,545,908,085,489,735,700,674,030,
167,598,233,135,394,393,655,180,097,676,560,921,002,763,673,193,700,569,164,
763,629,877,814,731,672,742,341,493,648,365,334,350,558,445,815,537,583,432,
906,989,604,725,057,420,045,268,997,075,015,941,040,937,041,315,571,114,832,
901,572,167,943,057,080,046,511,679,654,910,587,607,310,515,686,490,095,795,
535,402,346,302,618,242,354,475,581,225,204,229,675,075,790,039,636,994,675,
147,404,685,035,757,933,131,856,915,009,974,460,964,357,940,377,468,650,990,
087,974,049,827,762,709,635,304,793,550,662,180,542,020,753,771,517,151,103,
777,145,560,182,720,245,700,457,613,651,146,097,087,310,871,916,650,656,506,
884,189,732,822,279,038,316,396,961,780,289,687,105,713,900,323,198,712,029,
407,173,511,230,998,493,639,611,352,478,865,376,119,185,324,550,487,184,495,
593,740,336,150,126,570,301,192,925,490,759,111,834,657,493,069,635,436,360,
055,275,305,142,719,204,691,594,792,189,208,647,187,768,847,435,849,291,634,
128,210,489,132,335,715,994,183,754,497,649,324,798,277,967,391,596,777,990,
226,738,817,558,987,247,670,470,000,043,255,422,083,152,453,317,544,521,690,
529,146,847,653,297,555,986,159,861,443,854,566,598,878,260,697,552,754,804,
191,190,428,253,582,865,702,538,681,266,008,044,224,666,831,893,756,489,676,
503,510,288,086,877,597,068,698,153,811,767,103,797,380,709,483,151,106,494,
862,846,134,336,552,619,796,149,475,129,197,567,129,078,275,732,574,509,504,
713,289,646,041,702,202,795,458,266,023,738,616,505,824,707,176,031,703,000,
586,407,801,068,106,082,061,188,611,770,532,707,391,780,582,837,047,711,143,
432,182,560,462,593,839,483,689,665,546,074,143,988,637,074,382,870,144,196,
013,711,557,201,380,277,916,607,776,075,496,403,184,592,755,410,163,303,007,
947,226,949,817,959,929,598,530,613,926,506,040,280,633,031,583,410,610,848,
571,428,393,858,611,012,308,091,338,137,180,132,396,777,754,585,159,009,118,
255,753,642,162,034,162,035,740,943,696,638,812,926,083,321,318,202,011,651,
889,098,219,956,533,603,744,012,648,472,256,032,059,500,167,634,069,022,584,
244,099,424,081,256,806,781,690,764,839,270,964,180,836,388,817,592,169,954,
923,371,471,864,159,674,894,445,487,230,131,775,998,660,960,839,760,706,348,
354,038,971,684,274,432,888,532,364,070,761,052,517,909,388,921,722,950,455,
639,118,517,821,251,687,939,352,047,140,683,138,598,928,729,993,068,541,151,
540,253,593,158,441,578,441,504,795,210,135,238,581,584,875,798,820,377,955,
249,593,884,196,635,007,308,712,153,588,729,806,571,929,218,933,857,770,716,
353,489,912,855,804,622,046,936,311,357,431,141,383,390,693,385,489,396,878,
445,960,658,431,337,430,765,751,531,895,353,281,851,797,526,908,788,800,735,
723,950,947,941,106,876,953,880,819,524,536,997,613,409,819,553,676,178,725,
481,524,906,015,600,323,071,946,920,499,579,492,373,454,627,012,787,793,057,
737,593,290,271,533,866,266,641,864,842,523,908,394,011,961,472,305,398,487,
069,071,026,872,683,601,909,029,140,510,147,198,656,659,076,589,381,862,993,
293,694,149,076,944,611,721,769,363,377,194,257,841,898,865,244,393,706,521,
951,758,859,538,952,629,232,293,860,574,986,148,515,714,422,873,442,821,249,
842,173,545,177,149,964,477,772,935,417,934,527,044,547,168,267,757,367,258,
490,956,918,556,919,606,960,053,183,747,054,748,191,771,199,914,185,130,122,
125,008,100,726,359,681,572,054,427,070,627,721,432,736,506,565,713,169,407,
874,219,506,348,132,256,233,619,929,378,576,454,067,184,457,995,218,381,435,
194,348,683,367,715,507,142,009,062,807,595,426,124,757,635,461,897,539,950,
260,191,815,025,392,947,627,018,557,775,780,318,049,366,504,151,355,082,857,
805,593,215,582,841,569,274,110,612,537,523,788,895,410,762,754,079,343,505,
860,480,013,339,950,886,903,054,772,343,820,487,262,367,145,397,420,554,091,
555,326,957,874,634,129,020,328,949,203,225,828,244,080,686,602,388,773,545,
395,187,352,731,786,169,325,424,558,513,218,183,298,048,049,013,212,761,112,
614,945,760,141,804,252,710,616,697,078,029,763,557,454,459,328,636,404,307,
948,836,954,608,344,995,730,952,270,744,450,355,917,095,577,200,678,327,136,
864,819,456,974,602,374,284,912,034,107,276,862,568,037,565,990,024,511,867,
987,296,488,974,749,337,572,630,123,073,979,449,457,681,637,988,273,917,087,
389,111,877,415,451,163,386,845,816,369,735,016,595,737,154,737,960,247,413,
146,829,509,177,311,665,737,947,428,875,139,012,794,005,211,771,988,794,438,
443,346,463,873,454,515,989,120,489,971,724,790,016,937,542,138,368,626,745,
714,609,049,070,377,213,803,829,949,047,802,527,847,001,201,060,266,440,819,
942,812,531,625,167,824,247,576,561,544,038,132,465,373,600,066,466,370,817,
226,921,369,802,498,615,244,895,268,885,904,799,509,997,919,062,234,596,978,
242,451,816,015,519,233,255,265,092,473,167,088,101,996,443,570,502,341,124,
234,399,096,642,940,461,462,165,606,135,808,771,274,279,875,507,205,736,241,
222,349,242,073,803,463,822,834,007,929,304,794,021,034,323,016,354,701,820,
004,454,307,911,801,006,320,547,182,325,287,203,172,191,461,872,054,342,790,
685,701,970,391,251,298,167,664,463,646,948,535,867,307,377,651,022,470,667,
062,853,331,764,116,532,368,574,680,544,515,976,009,567,462,686,456,720,494,
846,352,779,671,759,735,499,640,490,859,934,441,396,390,908,388,279,369,762,
994,836,024,977,126,012,656,468,721,825,308,587,932,755,793,771,590,280,619,
007,244,966,324,468,532,098,208,245,432,586,116,343,005,085,292,197,735,553,
627,994,056,993,836,760,980,612,804,104,431,796,953,700,628,879,065,270,962,
413,734,829,047,004,425,064,031,809,204,729,619,345,188,657,168,339,542,539,
043,551,200,921,885,326,002,425,788,338,710,711,012,433,426,856,800,424,063,
678,770,812,188,067,162,975,719,930,694,185,202,751,536,336,849,971,684,522,
546,276,702,911,229,537,831,686,008,394,845,697,746,098,029,865,560,140,768,
400,706,647,606,177,229,178,042,599,142,320,890,953,605,518,164,203,572,826,
079,045,047,016,861,751,565,539,382,141,466,614,920,235,801,657,799,217,018,
743,616,669,480,785,210,012,422,669,542,790,069,389,240,413,796,918,978,387,
136,955,020,508,490,849,370,240,975,764,133,832,643,658,695,263,270,451,536,
759,294,368,899,166,506,032,527,689,907,449,626,684,584,127,338,881,428,760,
715,811,976,386,437,746,159,053,702,460,583,399,969,821,227,381,614,452,975,
915,377,012,042,267,108,575,916,632,447,662,737,289,708,312,188,067,184,865,
812,603,263,165,091,786,285,487,682,495,660,649,472,753,761,466,441,507,927,
630,224,664,268,027,842,381,443,283,139,569,317,505,284,746,695,600,573,808,
631,474,154,368,491,195,908,502,950,665,227,074,026,639,937,249,967,948,496,
795,295,500,143,169,766,145,649,863,764,544,329,406,752,799,573,652,749,825,
355,109,450,991,349,972,857,591,262,176,261,044,196,706,617,495,160,678,060,
319,650,510,268,780,649,105,983,906,785,828,293,138,901,764,027,380,554,132,
822,880,468,865,487,504,354,810,394,976,784,521,064,398,552,537,417,520,793,
334,284,274,812,844,586,511,357,772,691,007,961,773,593,548,859,364,136,488,
958,044,394,078,439,670,792,688,661,131,970,465,057,129,289,828,693,184,317,
490,055,755,406,020,520,727,867,425,385,838,772,948,133,637,928,802,086,829,
823,658,481,970,494,011,089,152,395,760,788,637,974,597,925,491,733,640,992,
479,902,726,150,330,347,763,980,875,250,407,512,269,982,104,817,975,690,808,
097,973,751,819,498,677,560,739,271,677,652,967,087,689,739,828,751,544,169,
045,904,739,262,155,072,277,987,235,229,826,233,496,411,678,395,702,993,887,
618,421,557,319,030,044,990,204,750,390,869,853,378,973,273,925,830,741,573,
801,135,593,949,959,847,748,118,524,648,446,049,312,598,453,266,210,625,307,
288,407,468,890,736,389,376,791,082,808,784,081,044,086,899,164,677,468,910,
239,633,375,108,166,807,404,475,695,070,038,637,183,056,203,598,603,438,300,
854,169,851,042,824,234,616,309,401,884,823,815,926,999,790,183,396,192,440,
171,260,232,232,430,032,785,923,357,854,546,573,069,720,366,492,970,043,975,
592,880,996,827,691,796,282,824,263,621,634,297,231,849,199,912,458,080,862,
021,383,480,604,883,949,397,310,737,798,662,285,502,189,698,214,800,819,852,
584,973,449,223,657,727,946,626,769,413,040,950,474,491,758,121,504,717,066,
903,824,639,067,734,604,447,953,973,692,657,288,360,793,764,247,688,576,916,
975,165,113,782,431,082,512,388,414,959,634,966,163,834,800,558,095,269,073,
097,346,973,453,207,165,569,271,096,334,130,533,650,799,650,783,645,721,507,
489,734,132,713,156,411,430,766,368,454,084,043,100,953,001,982,701,353,057,
234,907,637,104,870,879,271,026,574,159,350,905,077,613,667,303,361,106,020,
125,023,004,944,161,677,861,211,768,261,453,418,519,950,157,959,784,237,845,
546,833,274,566,652,990,917,989,367,589,833,491,040,947,439,659,435,896,630,
954,184,228,164,533,592,239,578,028,759,236,715,976,716,184,418,094,898,172,
131,357,178,976,036,085,469,751,447,697,609,509,545,753,764,833,561,858,837,
237,164,208,229,545,912,904,834,526,220,431,739,823,232,571,723,998,396,914,
491,865,987,865,069,304,590,563,581,658,987,006,918,308,864,375,698,537,014,
536,201,768,625,471,279,825,456,299,205,748,493,312,991,413,702,312,333,856,
584,226,080,173,229,739,250,994,026,285,205,579,399,778,775,125,287,191,008,
415,328,964,221,692,032,141,372,547,692,191,404,493,976,164,741,467,086,658,
593,283,882,997,029,959,269,089,950,512,230,108,300,793,825,195,563,118,132,
038,831,464,174,996,132,753,675,285,242,131,841,832,259,397,088,763,641,236,
367,804,074,510,996,922,136,892,064,964,902,550,454,518,567,644,183,256,599,
143,869,398,337,191,014,622,084,398,021,586,395,957,093,701,292,611,958,787,
341,169,968,545,788,860,595,798,237,120,321,079,886,436,501,974,882,228,150,
305,990,537,968,262,869,870,867,755,259,807,412,472,904,068,535,831,839,339,
562,992,050,083,702,130,091,318,807,436,490,962,323,781,476,228,897,559,010,
236,791,386,837,591,740,132,668,394,632,682,107,299,207,064,495,402,852,675,
061,805,652,058,881,685,948,050,346,142,732,848,300,595,691,169,877,516,210,
031,192,727,630,235,171,083,520,509,034,733,309,461,231,444,109,985,899,157,
446,018,888,634,930,204,037,005,646,678,028,463,369,087,287,433,011,895,398,
715,481,800,662,311,196,312,906,873,334,964,432,348,080,127,288,035,988,977,
809,570,164,742,836,319,228,782,280,136,592,549,765,192,157,143,378,928,331,
804,962,746,653,986,880,127,164,161,846,901,053,075,274,251,104,972,988,552,
847,797,746,491,896,830,887,006,300,862,852,075,598,971,089,722,010,116,711,
595,426,393,274,250,479,656,645,452,895,982,519,664,297,266,372,795,760,065,
433,693,903,245,247,019,746,136,899,472,419,202,137,494,501,480,509,415,533,
055,358,970,374,366,694,715,694,766,662,589,410,797,410,728,300,138,637,502,
347,296,640,896,326,321,990,126,563,329,318,699,163,715,085,780,140,490,771,
916,148,332,406,266,671,751,478,881,147,254,319,146,228,657,280,768,115,321,
524,321,571,192,870,875,978,954,076,929,490,972,578,163,774,117,199,884,281,
722,777,230,273,259,592,399,466,335,339,845,041,605,696,890,435,294,805,874,
592,936,373,100,267,117,430,845,070,732,450,936,898,021,003,618,812,527,878,
331,671,732,631,779,897,491,311,287,943,482,107,799,841,357,898,135,760,436,
850,624,078,873,555,812,400,104,029,359,635,494,627,467,983,286,338,330,427,
158,606,468,163,655,011,112,488,966,306,137,263,866,826,858,090,003,927,769,
678,314,863,427,598,135,853,578,460,077,621,135,563,707,618,593,777,629,877,
865,683,752,800,454,348,535,947,376,710,995,135,904,773,885,991,709,225,168,
159,322,413,265,163,651,535,207,158,010,209,060,654,515,524,299,777,599,336,
096,214,528,591,272,154,569,384,816,788,981,595,820,889,679,434,780,842,981,
381,168,606,991,966,136,510,372,849,817,697,019,625,309,624,376,676,657,546,
381,339,923,332,867,600,994,762,494,374,001,934,758,069,031,899,376,597,226,
838,995,419,956,382,264,723,399,077,978,100,181,023,542,079,795,890,827,372,
968,522,419,493,696,945,403,977,903,784,370,804,675,500,814,856,084,919,851,
399,090,801,842,194,596,270,433,697,419,559,168,876,964,911,197,132,661,577,
912,598,075,616,803,713,440,388,729,945,482,179,105,385,377,455,405,208,725,
609,374,606,481,916,110,920,300,940,645,566,190,372,997,773,170,431,395,837,
829,752,459,645,937,868,269,651,563,711,869,366,013,093,086,149,364,089,192,
000,584,466,913,015,041,939,810,003,671,179,961,845,811,588,637,592,715,928,
981,686,563,899,761,895,028,966,945,547,512,319,058,145,685,428,210,024,352,
362,368,665,940,166,750,044,314,609,803,149,808,399,022,774,450,523,312,275,
150,915,581,729,332,475,370,826,848,590,148,285,105,473,617,815,841,067,798,
189,254,643,904,649,253,690,450,045,363,340,337,188,091,317,205,178,193,311,
973,253,189,050,901,970,940,325,420,002,235,585,479,915,621,082,836,774,878,
950,984,248,298,960,658,422,095,805,662,928,935,236,205,522,199,673,248,331,
067,776,224,986,628,395,345,596,182,245,637,053,431,549,292,216,326,895,347,
079,832,882,015,922,506,228,080,308,873,164,708,465,328,435,052,649,118,627,
940,278,439,177,157,036,604,846,024,064,523,712,739,888,532,099,941,906,063,
912,492,258,241,847,960,259,144,117,470,875,956,922,068,182,173,467,545,828,
782,459,361,057,550,594,152,025,201,842,657,581,744,540,077,298,839,966,382,
319,973,615,654,590,744,327,220,309,916,738,779,238,364,869,828,888,681,187,
873,644,830,748,765,252,234,192,157,627,120,050,281,686,915,552,538,142,820,
607,666,981,261,210,218,530,542,199,160,487,907,410,522,536,013,816,621,445,
960,820,245,714,558,880,245,528,128,080,992,359,124,469,760,440,829,038,535,
232,332,369,101,770,887,163,369,980,611,527,107,585,600,571,804,198,718,494,
653,030,324,612,739,677,213,176,246,998,069,682,033,980,772,082,040,597,843,
809,445,705,784,997,160,564,996,818,227,949,641,157,166,531,594,648,108,966,
718,970,551,947,442,611,294,184,162,218,511,314,628,235,311,857,688,404,547,
246,009,212,401,018,599,685,246,049,226,892,639,274,273,075,616,153,584,103,
030,075,985,776,216,835,980,263,688,751,325,657,741,081,549,369,520,076,082,
056,189,371,087,816,605,749,589,322,910,206,504,080,726,815,210,246,916,361,
154,719,255,220,579,066,174,859,964,557,879,289,070,061,102,902,478,893,841,
716,696,446,622,350,676,872,229,262,041,180,485,693,605,728,179,474,742,966,
137,013,154,819,263,063,933,611,548,715,068,165,394,718,704,866,989,471,221,
997,505,799,622,385,895,813,360,734,628,656,570,443,414,570,555,563,263,429,
064,190,158,859,067,926,688,495,094,797,252,676,667,347,775,176,316,394,671,
296,591,288,727,137,075,259,872,972,561,483,029,956,735,769,824,310,432,517,
631,589,238,082,652,747,187,520,882,131,141,759,895,420,242,064,842,203,686,
204,939,473,343,473,015,605,576,046,661,344,645,283,083,295,036,353,442,498,
461,247,556,680,884,023,208,191,947,332,790,769,273,476,888,766,761,742,882,
964,484,717,346,435,844,503,737,221,847,524,541,478,972,626,690,279,836,438,
899,819,373,010,580,333,291,592,421,539,701,702,937,566,934,176,475,500,963,
195,846,880,612,070,392,210,926,007,914,409,871,617,407,325,638,845,761,839,
657,248,869,821,784,262,660,242,670,860,607,092,191,083,732,984,645,152,817,
365,666,981,628,301,221,164,495,283,873,331,657,876,624,911,116,634,556,608,
208,867,700,351,089,275,430,210,639,218,516,601,128,075,641,968,674,870,672,
118,821,889,404,078,410,903,408,710,814,065,049,642,074,062,686,959,622,821,
794,938,665,896,796,278,289,556,292,859,956,269,850,258,223,688,847,213,415,
779,149,375,584,935,754,073,967,446,043,617,855,102,206,012,973,409,341,069,
281,042,738,409,327,928,025,863,288,161,300,830,955,181,456,089,387,893,832,
470,771,406,244,883,297,422,952,567,655,994,867,017,272,251,910,106,702,797,
542,924,798,492,093,898,900,714,129,274,450,412,737,599,955,954,195,076,871,
764,810,158,193,144,669,020,888,493,029,828,675,254,279,729,352,583,908,259,
389,671,801,230,931,788,098,256,633,864,044,090,976,254,397,663,099,076,584,
717,972,951,068,117,913,667,244,664,009,537,049,535,136,595,168,705,457,575,
148,425,411,521,321,999,927,178,626,977,386,778,002,100,201,679,101,073,158,
125,852,324,565,859,615,107,857,282,617,102,513,019,247,689,682,778,162,648,
950,082,167,002,536,839,051,880,926,788,515,968,361,832,207,915,700,023,964,
239,530,007,437,752,868,503,317,828,855,743,104,325,712,510,830,590,225,410,
940,385,124,928,528,707,572,728,755,433,621,129,096,563,756,280,941,165,438,
507,190,005,687,417,893,875,265,514,822,494,218,269,013,267,848,157,102,173,
621,559,188,164,350,343,373,620,204,994,118,269,590,190,556,374,180,679,344,
143,739,833,844,469,876,522,166,663,474,295,536,545,022,155,045,188,644,375,
798,618,317,726,100,842,933,050,448,009,378,283,179,252,176,595,495,289,461,
113,658,674,480,375,047,058,701,795,718,570,353,642,218,494,570,653,095,412,
654,408,692,884,571,133,712,453,436,472,111,190,827,785,068,120,518,619,452,
505,416,298,579,400,817,400,470,314,250,750,306,613,118,030,395,529,712,565,
027,645,995,825,791,340,373,795,596,113,713,861,711,338,089,471,090,889,936,
154,427,987,074,528,033,716,639,123,800,566,880,026,237,998,562,002,809,312,
153,543,676,143,997,776,674,269,108,119,766,998,154,768,315,941,529,909,368,
698,467,436,490,960,719,003,829,217,769,675,552,746,627,897,415,835,437,318,
579,462,219,135,994,267,338,375,267,747,509,942,992,270,575,846,631,776,568,
286,083,364,157,375,445,288,943,371,809,978,504,211,645,415,265,385,652,274,
662,557,467,241,535,375,771,257,613,591,441,863,963,710,302,685,894,645,272,
845,293,229,555,988,156,097,800,303,505,092,589,972,808,777,535,505,934,118,
015,831,075,653,470,660,310,912,178,294,282,382,435,620,163,387,325,052,373,
822,212,083,383,704,816,756,927,018,488,426,173,522,395,911,194,932,157,854,
094,073,334,562,265,044,338,483,710,468,424,869,344,290,537,195,533,061,086,
801,907,602,608,134,908,844,757,065,223,394,168,035,731,597,522,883,363,422,
594,790,695,145,917,328,786,938,674,664,123,364,748,530,020,170,940,132,486,
460,155,911,571,229,485,290,820,293,959,786,084,198,291,525,099,616,089,156,
945,465,792,413,042,335,802,965,273,748,615,866,554,772,797,875,612,168,029,
628,906,516,166,560,063,815,021,818,736,343,873,741,644,029,440,211,394,940,
724,768,263,650,329,602,014,921,299,033,518,114,536,205,011,744,180,715,572,
605,383,130,642,095,160,505,025,189,930,217,320,757,470,876,055,061,271,279,
728,630,686,441,089,350,100,778,198,483,229,757,761,643,479,316,972,319,164,
159,538,746,792,907,169,377,769,909,834,231,395,129,769,389,534,558,951,996,
394,903,685,256,295,774,403,748,440,648,227,506,229,816,245,748,214,678,557,
474,609,923,845,965,191,798,611,371,824,664,638,839,030,929,094,947,406,615,
641,580,234,412,330,993,581,076,669,206,506,334,991,285,690,935,241,594,383,
210,256,761,464,709,778,969,602,835,579,936,903,769,094,029,704,774,775,903,
208,051,987,772,591,000,800,196,690,847,330,923,486,941,237,748,938,653,149,
008,598,056,762,881,102,703,562,134,793,441,226,051,296,204,476,842,251,704,
238,965,904,217,500,070,050,199,958,549,235,878,432,795,897,705,314,472,849,
185,909,071,169,771,529,697,358,032,685,992,956,522,024,384,434,089,964,202,
423,449,990,407,127,668,972,234,706,496,778,980,442,181,668,636,312,799,512,
614,093,167,269,224,559,499,962,409,083,455,844,476,512,583,765,469,842,875,
651,792,053,483,842,831,426,019,886,955,420,597,587,360,705,704,914,291,222,
026,245,050,462,345,531,586,593,883,170,425,373,956,355,352,122,853,162,097,
151,871,253,385,359,504,093,590,127,103,419,640,078,716,947,857,398,753,139,
274,789,828,091,781,340,655,194,958,094,395,345,766,091,888,446,683,685,977,
644,931,734,416,876,002,029,585,775,348,757,845,386,300,561,597,586,545,362,
299,842,961,038,447,761,009,277,098,814,086,283,382,627,825,709,293,996,836,
175,408,442,187,697,626,576,089,147,177,380,154,364,843,283,406,810,163,791,
352,631,321,216,909,565,969,609,339,006,533,334,058,235,979,984,119,087,235,
775,571,362,181,994,485,206,002,982,810,713,788,311,864,261,952,401,467,704,
705,678,988,325,552,033,698,712,410,816,787,314,824,115,037,070,305,788,437,
385,019,057,843,323,011,847,266,208,773,556,924,354,988,160,768,936,208,926,
360,421,899,734,356,346,732,450,378,384,086,643,656,976,560,233,857,161,297,
878,140,889,444,984,266,252,626,952,066,836,260,756,407,190,945,543,026,741,
355,081,786,901,279,155,157,979,545,055,902,140,645,681,510,539,525,070,983,
623,649,155,858,252,267,645,063,214,397,246,925,104,988,865,666,899,285,115,
278,215,191,750,237,519,592,235,659,893,788,347,460,067,473,593,820,167,191,
191,970,390,224,878,883,887,235,120,207,765,062,972,149,891,832,221,409,250,
328,253,190,254,106,922,592,700,582,259,736,412,108,080,636,120,185,810,284,
740,690,402,928,934,564,590,347,517,799,943,622,438,587,328,505,102,371,819,
219,279,602,103,024,578,830,770,091,984,589,220,705,127,054,681,632,654,039,
141,778,823,181,918,699,532,196,009,184,735,597,651,326,839,818,491,981,599,
330,098,179,214,728,891,300,068,552,879,214,839,015,363,597,130,047,042,568,
048,558,406,869,907,695,738,647,120,385,064,037,341,135,124,222,508,233,892,
738,789,691,791,555,087,916,643,155,119,415,380,920,358,394,604,972,420,674,
120,888,567,947,552,368,446,703,077,344,938,443,242,117,379,184,746,476,747,
809,958,650,573,744,572,485,389,501,326,245,857,508,048,674,598,639,803,487,
831,254,669,777,118,123,287,405,924,932,559,731,933,550,036,695,580,525,462,
055,612,803,533,571,421,734,465,566,269,549,680,832,085,686,708,871,501,583,
746,462,904,098,909,943,198,326,818,915,202,490,317,452,243,665,152,031,113,
537,358,973,769,942,306,170,020,642,888,721,889,653,870,971,000,250,257,794,
933,045,969,293,824,827,700,383,944,305,988,527,763,999,145,701,003,114,447,
871,830,220,047,834,069,202,281,293,147,664,258,164,964,993,397,872,460,062,
253,053,195,953,516,202,394,770,791,482,555,098,613,595,069,044,801,926,763,
458,666,453,904,681,180,837,313,905,727,446,870,394,476,736,105,949,469,876,
681,003,768,258,198,417,903,810,454,354,755,416,782,083,230,994,595,608,716,
733,512,453,041,478,941,717,504,323,308,207,105,326,851,842,198,492,940,352,
707,971,391,284,790,293,689,753,122,080,225,369,506,252,245,999,471,542,804,
189,784,191,787,423,398,406,576,935,329,528,081,171,289,447,100,383,904,075,
853,723,561,476,335,720,875,713,477,764,965,167,447,218,586,584,703,539,697,
206,481,532,577,177,845,119,500,801,461,334,310,711,253,208,048,773,526,222,
534,117,736,879,004,072,257,198,688,944,654,138,994,592,528,393,042,499,836,
286,147,242,859,355,679,970,652,789,075,736,570,706,563,792,777,944,402,616,
215,803,730,880,740,297,549,067,264,687,047,176,901,765,836,354,391,290,711,
149,254,403,269,205,532,876,539,288,488,719,591,919,105,646,078,430,967,621,
767,463,464,862,350,496,595,426,178,563,918,062,839,380,124,933,620,897,891,
864,095,519,670,990,339,280,074,154,001,466,402,330,448,406,258,214,962,272,
116,836,926,125,686,447,920,345,715,709,738,866,374,837,450,032,833,996,034,
396,372,863,574,019,633,069,385,179,194,628,387,978,720,985,987,107,120,585,
319,100,587,192,386,842,229,177,679,144,905,744,041,087,355,675,383,493,961,
105,479,120,268,968,282,058,295,809,711,966,283,443,740,425,763,076,552,785,
995,627,334,668,694,293,992,241,024,625,942,364,227,232,567,594,580,865,375,
675,984,859,894,996,631,718,570,675,879,644,874,045,193,337,465,826,018,577,
832,589,904,959,518,098,185,757,816,434,087,194,988,307,628,219,494,354,317,
743,986,019,006,616,715,914,086,216,199,360,263,458,844,595,427,655,117,572,
271,246,815,535,082,214,091,698,535,556,506,518,753,882,656,402,946,463,920,
496,563,006,636,853,154,991,217,330,510,320,213,161,083,509,038,473,474,363,
807,095,783,265,994,390,337,188,578,229,870,446,484,492,176,027,420,804,493,
466,594,521,360,839,280,855,639,253,507,044,824,282,705,101,523,668,738,773,
278,470,806,684,164,811,553,547,030,630,899,720,839,364,067,668,664,272,465,
673,831,774,949,619,019,415,691,450,776,232,093,482,793,130,022,374,038,717,
962,301,292,210,216,057,049,896,062,000,641,926,624,104,501,866,156,822,735,
497,921,149,486,187,768,676,308,949,029,027,595,762,793,548,772,865,979,734,
760,586,110,404,891,396,480,318,684,641,223,691,759,369,353,427,079,756,993,
956,791,109,541,398,746,773,005,254,507,782,382,873,462,463,792,545,755,908,
210,490,892,956,046,760,842,471,352,380,375,270,634,608,131,120,687,532,177,
322,431,491,447,812,056,142,626,714,844,241,981,462,906,764,865,774,564,427,
155,312,288,566,041,368,476,860,444,772,617,036,859,883,414,690,664,930,123,
943,071,217,858,508,437,189,432,333,172,388,034,511,164,210,228,722,280,941,
763,435,756,704,639,692,129,972,516,127,752,166,993,340,912,383,834,952,796,
151,314,959,777,709,097,459,115,208,216,978,653,868,017,757,455,804,933,113,
381,887,234,754,743,194,285,541,119,770,436,505,400,541,582,340,202,940,691,
271,879,416,473,721,491,032,555,682,489,595,847,836,668,417,784,616,943,780,
415,675,857,041,777,100,926,416,020,508,975,885,094,495,040,811,111,667,845,
339,942,285,449,184,318,102,685,698,615,293,381,356,049,937,300,988,488,724,
306,290,617,729,711,720,561,810,164,399,795,249,831,310,549,596,306,525,844,
314,316,750,333,974,561,871,932,477,999,843,614,436,424,713,210,215,048,227,
965,903,232,853,645,638,677,043,579,197,934,720,026,834,124,840,143,370,479,
673,966,531,381,345,939,994,023,074,008,778,796,520,583,711,259,437,405,679,
949,395,551,994,606,403,223,382,582,949,398,893,517,093,914,044,980,307,838,
242,072,768,415,682,500,747,416,944,997,490,173,669,321,885,275,720,223,366,
918,121,221,757,815,499,329,898,864,993,324,164,508,951,872,638,436,898,001,
847,976,974,510,466,801,521,262,863,293,737,004,059,389,087,818,448,488,499,
248,028,468,320,367,169,479,650,692,841,910,628,948,858,632,248,688,072,668,
424,523,589,032,329,652,471,373,440,564,226,135,228,516,137,532,408,034,850,
128,260,012,541,205,536,720,005,910,183,850,460,725,261,087,430,787,907,311,
550,982,723,341,416,720,783,722,427,900,467,276,880,447,505,722,958,649,999,
859,076,654,535,878,880,307,106,360,617,818,850,109,437,612,391,583,110,591,
202,054,971,212,006,537,436,107,042,410,602,440,416,569,217,400,113,093,355,
151,160,319,168,756,381,046,613,035,268,842,725,425,344,965,701,777,422,237,
176,470,354,027,955,712,874,641,441,030,473,791,832,919,509,248,561,655,180,
931,167,042,666,527,863,369,113,855,928,664,590,996,471,258,800,748,122,010,
191,573,068,746,342,348,481,887,863,046,241,490,036,960,505,514,538,487,615,
422,648,431,111,442,360,229,839,205,618,037,005,379,430,965,180,235,011,185,
943,470,688,495,834,539,263,396,251,411,212,989,913,600,347,894,766,700,460,
218,197,268,709,906,674,510,431,711,699,015,769,441,072,927,514,599,538,209,
189,480,792,430,372,658,632,872,462,291,364,893,459,102,263,566,993,836,827,
967,614,048,603,943,547,137,218,305,813,156,438,767,976,629,435,393,938,302,
667,433,104,252,535,532,422,651,518,914,234,898,371,503,608,285,850,692,344,
744,515,519,079,244,016,261,646,977,271,005,586,189,796,186,297,390,040,513,
864,668,865,846,569,573,986,636,926,738,738,221,324,557,744,514,497,112,077,
493,699,082,139,810,549,463,663,601,994,010,997,754,622,775,809,141,678,917,
903,352,290,722,534,747,724,298,239,460,995,973,539,092,599,266,092,910,196,
290,848,482,021,049,557,337,254,947,555,662,239,796,305,750,138,351,070,253,
856,871,686,240,571,151,609,158,439,918,713,200,901,074,736,996,914,652,193,
078,641,626,768,372,535,779,754,938,456,924,677,884,663,233,345,158,444,190,
725,178,594,307,593,563,675,188,302,977,261,109,282,575,295,458,755,665,924,
068,592,819,072,077,631,652,056,777,962,792,420,285,591,160,719,758,161,217,
755,651,740,529,518,008,062,313,827,976,850,176,821,915,757,793,426,987,523,
554,302,296,224,756,176,187,095,013,188,467,739,235,646,522,798,184,444,264,
412,113,583,476,433,613,946,559,609,713,870,237,952,156,463,603,946,686,253,
827,442,463,027,400,200,675,224,075,379,216,401,265,802,271,249,017,205,292,
666,736,908,934,612,055,328,406,213,841,753,236,952,305,269,789,621,662,998,
177,888,694,933,368,415,427,534,486,765,694,806,131,938,716,241,477,156,539,
716,391,581,896,017,997,103,131,408,867,895,793,119,444,504,370,301,192,058,
710,607,537,663,608,584,617,196,236,202,646,720,772,516,342,791,429,956,805,
255,067,909,720,631,736,197,467,385,690,416,495,115,607,365,481,706,997,446,
592,629,145,646,368,787,873,212,145,425,827,108,824,858,198,977,478,303,592,
811,636,632,021,596,098,471,601,530,971,903,522,618,020,423,960,953,166,212,
095,467,351,216,139,196,653,159,499,600,497,948,849,713,838,664,359,099,726,
424,028,096,913,873,207,880,821,222,131,817,883,475,355,902,871,592,862,723,
829,989,702,882,258,503,653,736,925,761,834,173,780,388,306,417,804,799,499,
775,683,554,486,551,095,719,777,752,363,049,398,307,759,418,352,415,532,636,
733,953,256,642,753,648,259,832,746,187,140,942,815,676,558,037,922,396,020,
683,921,050,861,343,934,493,934,643,995,986,761,644,256,986,776,172,709,245,
076,635,066,200,745,503,164,438,760,587,748,696,729,062,574,376,459,743,058,
807,153,196,293,371,985,604,368,049,111,281,235,509,176,828,266,349,069,281,
569,824,182,934,870,619,261,033,746,808,001,858,952,741,262,302,254,210,548,
093,728,389,413,095,744,936,218,119,016,804,291,512,192,904,860,886,156,510,
199,397,369,162,467,090,207,994,349,521,321,685,008,302,455,427,711,408,111,
943,180,736,021,381,080,766,236,689,105,095,330,065,114,025,711,597,803,236,
959,052,767,375,218,138,223,719,543,091,165,905,125,905,583,534,513,817,535,
767,674,808,593,255,116,763,157,173,232,050,508,889,342,105,958,846,699,308,
101,386,044,682,011,354,665,728,160,749,716,085,576,097,308,601,483,224,781,
023,263,562,893,613,670,959,044,489,536,419,434,103,211,608,099,022,218,106,
554,229,683,418,617,448,963,161,733,619,872,032,391,941,158,984,609,048,566,
673,499,273,796,496,928,608,143,966,960,515,331,177,317,403,386,056,907,299,
153,979,336,578,475,192,643,865,871,413,210,400,534,781,980,136,022,963,488,
870,871,641,798,521,778,325,261,190,524,044,314,424,454,254,970,155,140,731,
999,210,345,483,804,152,436,749,787,509,408,574,536,737,246,929,311,134,272,
195,073,834,887,200,791,770,247,642,190,373,045,390,069,385,592,148,861,329,
137,673,252,174,394,139,835,376,850,234,392,683,783,128,065,472,152,551,306,
424,674,441,001,953,817,862,575,573,173,125,358,836,031,265,089,500,401,772,
015,457,808,246,583,158,952,511,085,570,919,645,519,022,720,986,982,024,881,
780,061,076,315,625,724,109,238,152,425,651,719,774,933,263,938,820,068,399,
011,152,836,880,552,894,655,930,476,051,217,312,155,159,328,236,317,387,454,
338,257,082,804,640,686,275,334,299,895,160,727,184,669,246,587,739,104,732,
581,014,945,525,883,786,473,049,978,267,705,532,071,537,556,090,099,619,747,
399,195,519,767,010,556,931,236,914,177,486,125,316,386,817,987,990,687,734,
457,358,269,892,975,765,033,751,990,719,343,303,186,710,218,815,881,847,326,
102,768,800,583,235,680,249,367,035,594,149,940,252,442,660,761,075,317,094,
017,265,769,492,506,717,173,037,760,974,466,086,653,020,950,225,294,937,465,
772,968,237,786,545,035,424,527,731,662,027,065,937,481,448,372,312,459,868,
524,065,267,374,945,041,981,616,934,595,420,521,101,244,563,547,096,668,129,
493,842,444,179,944,796,097,921,558,476,064,145,340,453,787,435,412,119,647,
366,087,104,493,241,943,290,070,871,708,250,273,035,886,142,995,765,500,475,
750,838,498,186,002,662,531,916,708,465,704,398,841,957,922,732,716,244,911,
869,451,499,529,217,368,923,617,461,675,807,094,395,784,324,007,597,345,812,
952,884,006,267,167,380,817,555,839,194,203,765,650,929,798,846,584,230,529,
530,197,707,200,966,247,195,629,227,059,222,339,243,467,006,209,356,116,361,
632,262,588,831,430,749,464,902,442,560,121,675,279,014,394,928,019,869,186,
676,305,808,580,845,455,134,240,069,461,237,549,968,335,938,012,035,121,869,
808,790,493,922,169,228,171,186,491,760,860,459,437,885,580,804,714,250,605,
130,445,224,856,154,251,405,078,294,957,395,072,594,981,419,032,616,587,620,
389,125,414,407,303,289,808,008,794,409,683,787,908,763,024,357,182,629,884,
345,219,637,624,294,800,868,939,983,451,287,581,612,925,023,094,253,862,288,
574,313,093,762,665,384,179,091,688,337,947,774,760,114,536,743,528,960,654,
659,826,137,514,445,227,780,588,582,432,787,298,372,203,903,210,148,253,520,
664,510,671,999,900,640,464,849,088,322,179,868,572,249,681,011,964,870,722,
970,993,126,069,969,315,916,601,171,564,337,530,709,577,981,165,053,919,869,
763,811,726,670,361,064,696,456,755,292,805,321,892,536,217,624,927,628,000,
491,428,554,491,084,831,454,152,140,248,410,314,568,598,070,508,035,045,387,
044,712,889,257,899,312,714,291,178,696,901,299,587,298,372,497,003,266,264,
014,816,411,432,597,180,556,473,777,125,697,944,007,605,911,046,788,310,732,
928,283,312,437,103,517,887,936,559,761,145,849,901,953,617,687,509,376,021,
894,834,958,653,170,426,118,080,052,378,886,707,247,817,204,705,823,961,662,
896,592,307,633,957,272,759,733,523,635,245,799,526,276,472,346,153,740,479,
950,868,428,462,345,134,752,068,771,908,005,324,970,818,199,835,095,655,455,
870,727,614,407,677,005,187,147,671,362,373,712,211,435,617,089,848,005,561,
230,596,718,001,301,150,047,718,531,739,912,650,862,534,899,628,585,328,008,
684,561,046,735,834,351,473,433,096,494,407,950,683,028,509,569,993,992,553,
266,087,743,171,301,633,582,892,753,433,941,956,852,190,245,254,863,195,596,
537,376,357,231,078,190,055,455,020,754,318,434,495,334,758,864,038,667,926,
126,537,294,763,881,600,353,642,270,738,478,098,127,627,128,008,236,247,149,
303,690,854,938,967,256,095,575,185,628,727,099,032,239,947,885,994,492,040,
782,593,878,754,742,704,446,379,248,049,897,731,916,358,073,973,303,508,086,
026,229,732,049,832,167,602,050,890,279,604,846,106,144,536,683,020,898,000,
432,651,596,142,642,525,146,616,487,872,184,598,151,825,572,332,044,596,695,
686,869,173,631,765,523,994,221,436,502,716,773,993,456,150,773,435,265,737,
061,849,478,952,865,515,293,177,083,632,022,810,770,715,477,057,742,877,473,
487,573,450,443,437,775,617,428,119,525,422,037,465,622,224,119,624,435,984,
503,616,538,343,057,140,463,556,642,927,469,480,976,583,397,477,314,137,852,
476,586,227,048,489,293,266,416,765,175,874,739,623,999,092,153,716,397,727,
986,329,175,694,154,615,124,210,344,844,203,901,568,312,360,480,089,404,362,
557,493,609,132,225,397,430,830,916,864,468,212,508,393,213,152,330,326,912,
752,007,248,031,725,564,664,570,193,457,445,004,263,042,926,004,288,671,032,
476,255,477,454,619,202,494,760,788,459,443,783,968,279,136,277,442,697,600,
668,929,013,722,433,643,629,331,165,480,469,869,800,064,953,593,852,377,885,
542,314,418,821,489,891,363,192,917,836,298,599,618,860,547,737,257,200,265,
464,838,888,650,564,436,095,618,725,266,074,785,212,527,955,969,918,477,288,
179,275,821,079,144,435,320,095,497,763,419,061,990,843,789,223,503,156,477,
058,048,673,010,640,667,318,521,307,909,228,193,890,963,806,656,738,314,588,
969,957,426,522,394,556,262,203,920,063,476,650,304,274,109,032,726,614,479,
845,034,826,087,629,769,785,540,483,590,908,102,742,784,589,225,275,312,882,
072,914,391,581,171,745,136,483,010,935,768,720,454,181,220,996,308,510,578,
621,414,654,328,281,964,354,290,187,453,266,283,476,136,617,939,227,125,086,
867,721,212,110,228,390,486,908,682,898,693,568,032,811,652,853,541,105,939,
414,545,370,474,316,889,220,631,648,122,505,771,320,200,711,180,369,675,566,
284,394,152,334,213,928,361,286,574,368,186,758,515,040,986,178,794,639,486,
950,943,683,429,393,997,561,207,634,845,005,318,830,208,691,825,964,351,728,
233,021,858,478,127,899,701,796,890,270,499,452,481,002,458,346,052,866,582,
301,326,579,048,041,185,787,603,780,124,973,294,982,269,644,349,734,320,575,
451,612,501,165,337,282,649,579,333,848,228,854,490,306,531,442,079,422,461,
299,919,013,488,954,079,690,038,727,262,002,196,849,655,158,449,205,400,654,
777,812,172,630,402,481,548,274,963,034,608,221,824,673,577,015,697,141,176,
944,124,755,220,451,987,758,365,589,490,029,279,754,647,733,650,064,485,377,
557,375,157,096,773,874,245,137,521,570,750,984,211,579,579,344,442,629,707,
215,397,613,228,051,496,389,486,434,747,755,063,468,090,423,820,102,241,471,
198,080,360,320,918,839,444,935,326,402,569,670,904,277,655,449,276,600,584,
303,989,699,883,959,768,065,844,108,850,749,098,086,823,900,663,384,699,023,
735,183,760,242,466,120,715,119,832,612,782,949,197,408,495,256,656,337,446,
019,796,023,285,400,423,433,901,602,341,846,760,912,181,490,768,285,412,226,
172,210,432,899,866,251,252,046,599,197,890,862,064,386,830,877,633,048,281,
540,330,175,363,075,206,979,951,273,750,529,351,100,919,353,829,373,580,657,
133,655,165,408,222,982,347,347,309,864,951,851,986,186,484,971,960,284,544,
064,105,549,109,530,043,900,581,242,538,313,464,152,650,457,156,240,784,956,
893,468,445,932,180,004,099,072,076,316,198,530,853,810,931,068,133,805,355,
629,612,162,358,408,181,304,689,451,834,405,332,851,956,614,299,092,316,775,
472,486,128,702,769,840,502,695,137,796,189,927,133,383,831,238,749,858,857,
851,029,404,053,072,785,902,238,130,103,205,397,043,519,760,393,757,659,934,
701,048,492,687,589,856,211,994,113,168,002,961,156,609,528,319,286,819,157,
232,395,568,003,500,183,773,145,501,175,119,213,578,075,602,460,859,412,197,
792,059,841,827,290,617,211,063,207,133,374,771,225,849,473,897,123,204,444,
082,478,138,484,087,518,057,820,246,262,252,938,479,160,662,946,368,489,357,
257,156,246,954,587,669,773,462,947,835,209,598,711,647,949,287,388,530,619,
673,496,184,993,791,897,721,384,445,960,745,043,980,690,448,672,232,401,295,
191,237,838,258,478,899,327,472,032,063,338,433,559,411,460,765,764,798,081,
878,681,534,674,265,464,560,919,662,659,064,851,720,707,397,297,987,534,821,
343,533,155,617,298,669,457,181,325,044,825,626,635,522,129,089,000,743,547,
696,592,547,486,192,124,553,901,122,331,122,291,605,873,016,388,779,330,147,
098,962,019,424,158,573,527,589,581,327,242,141,211,357,779,817,540,824,058,
903,693,040,663,928,454,652,454,384,923,480,591,348,827,581,803,109,165,101,
505,065,995,040,829,103,595,268,556,990,246,538,844,352,102,178,522,310,665,
743,024,416,475,698,308,050,653,911,043,381,720,505,195,380,226,434,142,711,
702,441,009,382,912,905,341,944,853,306,782,558,406,349,185,600,024,711,915,
774,000,273,380,335,311,673,269,210,959,216,613,939,628,389,319,286,648,708,
491,875,475,851,948,333,558,427,086,713,025,411,898,229,490,609,978,487,311,
448,459,052,666,205,576,051,638,552,062,407,616,997,181,411,910,561,469,938,
958,794,922,889,362,028,623,848,898,650,009,829,472,016,824,850,264,879,425,
687,851,123,702,458,646,850,531,238,869,096,884,276,800,064,033,758,230,496,
270,166,369,283,781,350,559,689,144,077,821,114,184,975,051,625,908,737,649,
382,853,355,264,788,670,536,091,305,324,103,499,048,432,723,737,550,817,948,
853,173,172,105,024,328,818,262,790,026,113,763,135,569,948,708,193,360,714,
214,261,149,382,476,031,310,015,028,693,494,683,894,456,372,468,238,266,763,
256,162,345,911,618,921,952,292,783,637,904,990,373,814,649,506,654,975,683,
263,574,261,142,383,379,988,953,201,044,559,134,606,938,322,784,698,386,581,
037,780,307,805,439,400,559,444,147,198,015,823,360,301,271,102,471,164,566,
425,623,166,598,095,194,040,997,866,937,182,169,563,633,948,372,268,979,283,
470,696,180,226,797,941,543,532,799,658,840,244,138,979,736,772,505,054,888,
633,586,284,233,187,951,368,344,322,479,193,420,227,711,993,252,939,908,122,
194,487,017,140,664,167,415,235,207,923,815,053,642,307,794,953,872,026,537,
296,334,765,708,507,426,853,633,685,655,693,204,972,303,985,265,359,032,842,
413,017,946,508,148,986,061,595,207,037,183,435,143,989,227,460,644,975,864,
297,267,308,419,607,227,724,072,915,375,471,281,498,525,092,591,800,720,097,
476,939,629,986,586,689,371,649,812,100,824,278,716,223,022,769,881,195,451,
024,705,507,323,588,492,005,085,428,120,231,425,085,160,429,574,322,330,805,
679,982,049,819,342,763,107,491,105,968,067,678,487,452,433,802,278,987,752,
279,537,720,613,623,032,805,642,922,582,572,279,990,017,183,798,648,797,836,
254,117,301,212,871,433,458,146,907,674,504,156,422,497,462,250,079,847,407,
199,527,281,181,925,616,089,529,296,012,086,903,835,409,403,690,153,144,493,
341,408,038,731,515,698,756,923,472,182,996,525,084,370,126,591,655,925,640,
158,177,415,238,693,019,168,561,413,171,962,454,851,317,495,263,605,898,160,
906,429,825,135,668,468,971,209,210,783,364,562,496,190,606,843,768,444,779,
940,430,022,371,007,967,937,069,760,452,375,916,684,114,202,493,485,819,839,
880,532,992,298,459,635,116,108,551,892,733,324,025,415,535,093,666,115,268,
415,474,710,796,613,636,148,082,539,770,606,989,038,497,225,569,975,701,966,
712,501,832,479,220,694,419,634,868,162,756,223,778,817,611,825,810,295,007,
985,466,462,891,168,804,454,730,921,663,488,622,823,934,204,900,309,413,951,
323,966,349,558,640,586,356,773,870,114,658,193,575,152,450,714,096,642,437,
346,987,911,372,439,406,715,405,905,845,651,028,362,349,116,404,956,551,489,
012,033,568,883,919,327,334,908,976,955,135,059,573,835,337,135,022,164,052,
827,964,584,003,053,668,273,350,838,250,861,466,134,931,424,039,322,728,701,
054,014,605,730,745,930,666,183,637,950,836,962,982,363,771,868,576,745,905,
337,480,896,523,002,771,682,655,904,423,575,112,635,011,478,543,175,957,061,
043,038,640,099,036,846,211,752,999,558,749,977,149,155,002,744,473,860,924,
835,161,033,772,661,946,617,648,185,791,086,729,833,766,464,966,381,704,004,
425,647,281,815,008,726,399,403,168,653,495,896,346,108,588,416,683,786,453,
487,843,096,054,943,657,322,881,102,409,121,618,075,461,040,988,552,318,996,
017,006,450,189,147,811,805,190,654,162,705,525,499,937,277,957,944,117,576,
362,090,787,630,632,078,290,338,311,927,961,626,654,862,145,026,515,848,827,
074,144,577,207,431,889,845,931,914,995,712,871,339,909,167,043,909,175,410,
537,244,200,412,170,394,049,604,400,855,171,525,712,828,640,112,091,545,332,
545,026,150,725,777,072,226,897,519,045,856,915,887,914,473,081,343,145,698,
096,917,054,704,417,942,777,647,389,486,885,257,839,549,370,363,348,816,991,
616,715,510,034,755,224,315,492,465,070,511,835,634,255,648,750,316,272,007,
949,159,283,491,135,216,880,379,627,814,145,013,383,373,881,566,769,445,203,
156,044,706,431,904,332,853,578,275,539,868,913,879,785,587,008,475,945,830,
588,672,248,492,236,353,543,648,618,030,832,013,991,939,249,691,053,024,254,
686,022,053,973,633,724,865,181,148,724,536,285,379,115,489,927,486,950,029,
093,040,809,401,666,995,502,942,814,144,395,084,331,559,305,468,296,991,583,
653,384,865,704,452,840,333,976,018,129,146,709,762,948,056,611,644,833,475,
864,670,365,413,075,828,654,092,360,112,976,245,015,352,533,521,296,735,703,
514,690,616,903,581,955,191,646,526,012,353,794,687,966,198,876,986,709,032,
910,975,559,653,811,706,808,713,318,283,446,825,799,679,780,191,479,249,580,
891,636,140,250,555,609,655,693,547,081,941,261,496,239,825,923,324,840,163,
935,617,923,959,220,725,063,140,350,746,143,485,684,374,856,342,722,785,005,
206,187,096,950,486,217,835,526,757,240,429,471,197,013,668,259,622,602,053,
514,234,424,358,806,461,012,075,368,946,666,162,986,154,590,106,499,285,095,
042,459,634,990,302,823,719,038,215,299,569,774,961,938,014,554,357,216,452,
942,252,512,293,981,423,165,686,468,161,895,932,375,001,103,627,487,862,987,
984,467,343,089,457,153,945,295,903,264,091,305,909,412,682,819,791,016,889,
822,932,364,103,695,747,348,364,944,966,294,904,505,586,276,982,660,805,999,
603,827,111,708,785,342,692,995,164,438,190,231,308,656,917,666,736,178,778,
621,645,695,859,596,091,060,353,494,071,379,912,031,601,854,236,659,438,195,
184,498,681,002,408,485,837,516,051,645,420,638,739,695,735,417,669,767,515,
717,047,446,450,630,494,189,486,280,902,068,750,009,148,391,057,797,158,147,
046,221,944,910,828,857,383,423,358,621,215,594,729,380,329,957,376,934,697,
019,189,382,629,157,504,320,756,177,023,507,118,098,150,054,642,884,481,915,
508,489,983,306,975,176,660,840,138,620,473,625,816,469,187,440,738,442,797,
240,905,326,539,127,292,141,898,801,031,128,969,346,166,611,149,146,803,124,
870,149,680,049,995,053,105,670,518,171,857,644,145,423,835,734,012,654,882,
554,891,948,166,905,599,111,170,636,930,701,644,830,321,733,085,387,555,204,
207,583,141,245,551,471,212,239,295,028,370,897,094,427,243,924,101,904,043,
874,047,424,501,003,919,916,220,339,101,382,976,246,025,381,730,021,492,852,
659,299,397,663,984,322,542,980,179,681,395,457,114,890,667,061,875,940,389,
272,513,235,198,127,362,080,500,133,595,170,081,353,485,966,582,797,194,086,
604,864,616,259,368,404,426,930,070,179,922,017,414,979,319,854,927,670,416,
304,793,462,863,649,105,979,431,594,447,377,878,217,025,467,284,743,405,193,
317,052,299,335,045,751,752,078,254,205,994,537,221,171,855,565,274,584,279,
441,993,221,860,834,511,126,647,061,453,796,873,855,314,905,669,338,943,907,
196,096,658,008,674,718,963,863,302,446,599,506,316,872,917,416,741,399,233,
643,616,231,231,992,697,876,310,528,317,281,650,949,841,360,471,294,686,592,
873,620,275,462,503,307,111,628,248,475,982,619,485,986,855,994,281,650,196,
641,193,997,642,205,669,683,280,709,143,559,842,625,640,711,755,001,357,830,
638,808,813,353,598,947,573,469,157,446,462,468,795,129,792,232,825,797,366,
258,475,697,494,504,485,174,809,035,695,048,981,249,446,169,534,768,644,863,
061,432,910,722,943,822,881,551,924,419,254,371,079,449,583,393,962,062,506,
260,542,791,852,956,750,091,388,890,858,196,562,013,732,234,330,481,580,108,
939,305,449,084,530,274,204,592,328,284,163,217,781,345,040,888,482,317,230,
720,356,132,199,713,179,303,538,113,770,448,562,615,568,848,069,933,767,638,
919,156,506,957,741,275,011,771,031,876,177,074,786,948,757,164,353,588,696,
390,834,510,752,073,765,617,279,038,842,326,523,489,002,160,917,713,700,693,
297,449,649,693,050,329,169,441,335,435,576,821,951,473,293,916,880,073,978,
452,864,633,696,539,097,058,182,431,997,150,848,221,656,824,492,435,190,503,
358,793,316,531,178,931,081,917,766,280,105,088,775,518,311,062,170,632,046,
408,654,145,715,850,825,481,706,702,394,073,537,807,026,505,130,260,969,703,
460,158,887,696,614,188,379,308,586,497,473,829,981,498,538,025,802,268,247,
219,843,988,755,360,650,658,098,384,956,787,165,823,844,626,679,135,728,759,
194,570,294,218,342,420,488,185,504,795,386,791,874,843,837,265,150,936,992,
100,926,883,413,324,186,932,975,632,002,431,183,831,938,503,476,538,543,235,
928,145,017,041,697,287,879,154,159,647,923,136,466,027,150,834,645,337,990,
425,282,960,465,212,453,034,868,855,488,612,699,012,949,485,491,943,020,503,
045,674,801,926,524,786,543,283,753,847,439,723,114,201,425,198,136,889,289,
601,812,945,699,933,353,109,175,790,034,084,845,954,349,998,497,400,033,169,
575,095,105,419,112,887,272,565,406,893,636,196,978,329,107,934,058,025,641,
160,668,117,260,461,826,155,887,129,405,319,125,646,023,219,154,626,608,561,
746,902,533,870,602,869,718,050,038,085,538,023,523,850,496,714,163,353,627,
356,613,868,154,553,430,969,968,644,169,938,029,492,254,967,456,560,722,767,
930,501,331,647,230,663,871,933,957,056,701,651,162,478,442,080,619,021,635,
097,892,215,348,698,044,337,033,345,265,592,872,836,299,759,770,792,044,921,
686,193,972,808,686,611,114,339,945,260,337,477,277,792,419,166,534,357,242,
640,961,678,276,321,573,590,311,298,983,458,783,368,436,851,269,334,515,604,
436,950,936,744,125,079,666,949,078,240,550,511,732,213,019,201,380,545,665,
549,488,688,914,248,353,900,677,587,334,859,948,270,754,873,422,889,481,304,
556,180,223,720,355,259,071,318,534,745,020,006,331,807,741,179,532,271,365,
316,965,368,533,184,982,345,095,167,392,434,125,767,680,231,294,679,359,255,
120,417,307,208,140,140,376,465,166,806,558,396,776,041,116,599,507,352,306,
634,746,690,478,626,648,747,715,215,569,095,016,394,533,235,012,650,976,840,
736,532,124,168,446,473,582,288,800,870,442,107,046,491,597,207,072,173,912,
797,282,063,858,228,745,321,427,400,863,190,808,347,704,098,536,335,201,257,
630,906,903,497,825,283,830,179,920,971,642,212,386,659,477,195,200,663,355,
933,096,058,876,347,710,193,805,674,070,961,034,568,044,848,422,950,394,192,
153,289,542,444,040,742,436,116,443,386,482,672,025,574,062,141,939,696,855,
569,264,784,812,442,555,312,809,632,215,306,461,688,192,518,174,541,746,385,
999,020,691,725,302,355,702,606,770,086,442,188,356,189,924,334,959,457,623,
039,155,342,691,019,898,263,453,702,226,264,670,695,677,659,079,786,006,949,
972,703,307,171,431,830,206,607,493,901,639,946,361,477,963,227,591,377,555,
044,912,839,714,970,951,046,987,412,427,280,946,284,043,376,789,437,198,031,
828,949,561,498,240,276,863,908,095,245,219,813,907,937,371,387,208,925,173,
819,825,553,825,381,318,439,044,507,471,280,920,609,984,294,354,225,849,076,
647,727,947,254,823,115,886,882,324,054,008,139,083,558,420,196,201,897,947,
470,443,957,941,868,425,384,856,434,889,974,706,183,198,647,932,314,753,333,
009,550,702,095,395,717,990,540,752,633,987,419,151,083,162,337,087,244,217,
811,781,599,227,238,451,770,026,541,430,780,210,857,100,869,462,513,525,032,
948,364,488,724,018,494,116,789,799,048,619,905,999,332,847,917,327,355,929,
619,996,011,759,687,329,183,565,345,165,593,821,496,141,127,465,922,814,511,
906,914,945,037,105,240,835,995,090,350,735,930,505,885,687,971,136,404,161,
216,056,704,158,118,171,964,817,490,870,657,280,022,223,352,647,063,600,526,
703,637,539,312,154,392,893,493,684,916,939,928,886,772,325,229,653,938,640,
849,919,720,964,732,777,257,534,941,470,949,002,719,574,771,297,817,867,828,
830,782,715,797,615,411,975,584,520,764,666,507,473,321,110,398,920,587,189,
030,656,496,155,862,503,338,296,170,510,774,885,849,865,086,382,612,392,156,
288,046,974,919,386,284,726,758,618,523,505,294,622,571,082,354,935,575,155,
155,182,086,105,496,358,826,781,585,341,653,625,486,082,900,281,161,687,826,
298,213,547,988,033,165,001,975,503,905,634,425,742,732,856,117,534,365,963,
785,173,745,351,454,290,743,234,303,912,594,896,893,828,989,764,776,096,775,
441,737,889,063,981,257,151,034,369,746,605,429,038,456,166,357,812,438,378,
846,371,421,072,660,540,912,717,960,115,452,834,419,506,497,579,005,869,325,
429,621,228,938,909,035,332,632,084,662,032,688,736,537,577,768,346,217,640,
494,952,987,373,047,354,219,578,698,710,807,116,755,369,041,066,011,830,964,
654,813,887,080,727,806,442,632,210,924,917,643,672,139,027,464,577,723,822,
147,851,481,187,806,533,346,425,096,858,562,329,680,953,997,390,904,682,706,
195,465,965,910,637,569,834,697,160,937,230,357,683,730,152,306,403,611,129,
453,189,773,873,319,782,145,726,238,124,489,432,524,471,231,447,567,815,712,
391,830,035,795,951,614,974,998,701,407,021,815,901,781,102,548,391,953,645,
169,819,250,238,370,867,380,706,024,408,335,929,037,763,331,000,964,435,130,
493,159,227,827,922,370,171,779,476,762,952,221,338,640,817,994,728,962,178,
173,328,504,896,698,836,578,666,572,599,399,553,996,535,117,062,162,766,509,
086,198,625,664,025,689,276,826,155,878,957,971,217,540,732,385,556,121,197,
882,396,452,534,244,871,550,036,493,436,437,912,694,356,909,037,883,373,835,
858,487,522,534,738,824,606,367,531,080,607,849,298,773,039,567,401,542,593,
119,839,994,735,359,807,817,303,586,841,185,994,666,747,571,670,525,304,940,
480,295,222,792,793,125,894,757,308,925,427,774,525,802,757,186,219,706,135,
723,233,224,439,835,889,824,149,022,804,487,827,202,303,602,854,601,604,120,
790,105,107,400,618,416,399,591,141,586,878,470,168,027,559,039,219,356,408,
431,315,598,965,748,991,953,281,400,143,731,474,384,061,991,601,833,264,230,
374,739,083,355,317,938,381,531,158,762,964,868,908,925,552,760,612,486,353,
143,193,561,154,078,631,406,289,831,601,998,747,228,025,711,281,223,654,079,
778,682,079,818,346,419,708,036,682,740,266,405,042,718,773,501,948,418,400,
537,797,945,588,295,742,341,450,430,307,057,197,806,756,810,111,008,820,018,
845,545,640,815,331,603,305,586,519,490,246,964,364,953,683,764,528,297,847,
825,637,611,347,845,512,879,436,734,650,614,686,615,797,500,449,401,731,656,
086,062,428,449,815,607,595,696,737,839,366,750,028,628,546,489,260,082,933,
590,623,034,642,794,184,308,213,643,014,302,199,643,972,735,403,609,818,170,
949,948,638,948,464,950,741,812,585,157,298,618,064,819,324,404,721,013,516,
002,046,031,346,604,851,530,051,369,661,614,613,251,756,418,000,209,642,808,
226,178,834,438,369,962,535,003,817,679,355,719,666,381,982,076,487,499,836,
272,107,978,730,832,909,166,422,505,016,124,323,535,775,372,231,287,985,146,
475,111,613,592,113,165,631,514,711,028,457,797,412,171,343,119,765,152,805,
920,614,688,553,089,905,623,586,187,004,445,920,363,126,856,460,312,400,875,
692,199,336,349,913,977,750,621,136,748,006,956,279,401,979,602,002,363,628,
669,053,549,912,212,406,391,590,553,898,682,428,323,114,487,242,497,177,904,
302,012,828,484,133,576,926,772,438,321,839,451,121,430,444,785,843,905,696,
407,447,740,846,902,613,743,668,143,558,357,716,854,607,366,438,191,949,057,
357,644,616,692,148,522,382,938,812,805,539,029,477,301,475,629,202,967,352,
981,118,866,363,793,512,242,622,196,144,116,199,858,963,864,683,700,207,858,
578,225,664,703,278,316,667,256,771,696,660,511,757,672,787,128,461,034,177,
777,219,189,630,223,119,068,885,196,531,497,287,164,491,477,848,363,600,168,
710,245,577,569,097,218,495,600,999,920,227,606,450,315,646,433,330,862,818,
673,571,124,701,381,803,447,536,703,084,829,363,258,470,950,300,711,276,728,
112,617,694,803,807,227,549,009,145,880,223,230,327,940,007,373,285,260,766,
730,578,338,888,041,848,493,361,944,186,517,601,516,573,698,872,532,968,081,
087,944,095,300,108,797,150,255,560,819,064,802,352,683,057,591,877,433,670,
010,920,901,465,535,718,013,338,137,501,376,671,654,674,280,544,385,625,640,
877,677,103,176,400,391,959,778,083,028,627,093,213,187,080,110,436,559,782,
006,614,716,533,378,264,411,291,685,478,679,794,522,261,092,533,688,825,847,
205,966,551,996,978,153,177,362,564,773,381,653,488,491,166,733,937,303,796,
651,116,665,193,230,367,710,566,890,015,823,099,715,813,237,922,002,996,440,
152,910,259,815,396,711,347,818,174,519,549,151,331,938,291,601,518,293,629,
566,045,167,593,558,646,249,535,970,073,212,587,059,067,473,011,460,605,624,
604,946,973,848,009,301,804,661,341,978,772,496,701,284,515,689,079,858,194,
779,775,903,072,584,823,257,974,797,984,951,570,624,171,459,361,793,631,826,
681,616,404,499,178,532,633,263,927,821,290,316,090,385,589,949,180,326,629,
245,941,238,393,488,030,806,218,043,099,177,422,348,277,385,790,660,668,666,
573,822,682,088,479,027,083,060,452,361,500,030,790,864,914,954,490,198,208,
958,469,285,107,345,922,933,622,102,135,361,097,254,054,081,106,066,538,631,
334,786,397,421,587,144,902,624,816,907,041,283,754,080,889,304,205,712,151,
843,243,176,597,620,943,732,799,170,417,621,242,946,981,944,180,879,997,263,
052,643,883,225,998,068,561,368,898,095,799,428,360,193,455,101,400,941,791,
569,223,741,098,848,188,578,850,631,403,178,605,795,863,709,625,703,269,843,
424,301,599,453,422,787,927,124,064,039,012,620,603,343,375,887,517,472,656,
743,289,895,591,007,508,438,275,070,923,701,945,065,478,587,658,573,435,384,
046,440,881,332,276,703,061,720,305,759,325,311,022,612,370,750,082,548,401,
828,306,230,461,887,205,935,442,558,184,229,926,110,158,813,623,172,207,155,
779,315,995,099,288,922,603,502,680,625,173,693,486,166,053,211,909,130,711,
811,321,448,530,623,114,377,467,196,414,420,841,246,109,910,674,485,367,925,
774,324,471,679,936,267,348,176,935,074,947,282,531,908,413,017,735,540,719,
159,749,146,258,223,489,885,440,827,139,357,978,012,164,206,687,170,646,198,
300,583,826,972,887,451,212,548,870,953,574,676,259,012,094,975,448,085,058,
631,482,121,948,368,216,196,740,478,083,062,540,793,059,724,547,080,251,962,
619,769,766,963,482,803,827,469,009,567,481,399,332,499,950,457,972,357,646,
249,360,750,472,533,994,036,649,460,007,116,191,111,382,652,911,756,522,064,
791,472,245,006,531,110,644,040,021,755,167,176,712,167,752,956,659,354,277,
461,280,199,812,597,877,744,573,340,994,635,336,753,601,816,332,398,693,669,
481,375,204,603,518,926,568,230,558,151,074,744,540,471,972,094,903,206,101,
993,800,557,561,163,901,445,531,601,826,450,036,835,711,726,901,666,374,550,
622,569,488,027,716,469,773,149,068,822,199,062,833,728,134,377,871,368,386,
580,689,833,432,003,042,414,647,352,205,343,942,750,986,729,699,740,634,155,
138,144,320,693,237,497,335,747,876,510,131,298,243,723,723,535,751,487,795,
711,021,148,159,438,992,087,759,933,568,600,177,295,840,200,567,854,310,608,
967,384,171,921,126,702,664,930,625,294,444,353,929,670,246,310,198,472,786,
103,671,908,236,428,807,532,922,952,186,022,673,612,619,201,821,414,389,164,
283,234,574,669,481,786,292,430,839,548,903,091,174,071,615,361,750,526,784,
565,315,288,750,241,257,597,438,277,454,225,422,343,025,992,299,024,549,654,
682,750,800,748,566,278,483,756,625,854,480,975,747,048,250,472,790,630,555,
748,587,024,988,815,103,403,118,393,694,215,196,287,280,693,622,437,857,155,
090,237,751,130,115,720,641,857,190,822,765,491,890,673,656,344,388,940,314,
746,236,348,162,030,270,510,993,035,809,988,081,681,647,783,049,530,528,043,
129,439,362,372,191,603,048,486,751,838,687,777,983,255,602,265,465,985,104,
338,291,528,750,223,353,935,224,202,304,545,179,777,982,153,878,773,063,452,
066,113,712,583,611,503,855,124,809,587,181,844,302,523,471,617,072,260,817,
433,227,384,975,567,088,465,143,133,549,037,778,218,727,678,800,967,050,347,
831,532,565,956,041,976,794,175,668,411,374,962,760,261,166,513,240,669,160,
552,573,778,591,567,048,793,730,213,492,139,885,459,573,554,959,594,945,003,
099,347,690,098,421,558,794,630,281,822,602,349,270,457,187,870,467,419,252,
457,985,594,666,388,468,167,323,269,919,482,968,882,353,410,180,281,843,361,
165,085,234,242,620,601,666,817,422,846,417,159,768,831,641,239,415,143,380,
905,138,647,637,904,012,370,046,028,562,446,515,635,016,013,843,694,892,522,
975,984,979,197,139,353,803,972,016,282,825,752,047,084,650,918,144,606,778,
958,336,599,954,979,156,828,764,699,002,178,144,818,254,396,829,698,428,173,
396,349,674,817,849,695,984,897,645,999,243,314,057,346,449,519,817,055,556,
109,629,500,333,151,993,428,136,743,766,301,006,933,719,998,668,375,270,641,
825,782,115,780,322,473,914,909,050,753,780,287,853,832,863,092,958,975,397,
899,493,461,992,052,608,575,797,145,175,643,345,124,279,744,648,921,765,515,
338,602,786,680,914,193,132,867,281,305,846,623,894,606,129,013,934,242,427,
154,970,696,535,128,338,193,520,926,259,377,477,493,175,195,196,332,301,478,
482,206,099,745,851,649,337,602,392,263,690,946,430,523,035,499,350,449,703,
354,503,390,389,131,985,859,076,623,178,356,983,407,929,762,003,442,859,336,
705,565,599,970,899,863,530,528,283,146,705,028,887,985,865,894,501,702,770,
900,911,390,193,357,780,086,209,081,084,032,529,110,281,008,771,341,251,759,
519,300,842,369,094,009,944,236,742,103,946,370,481,366,554,297,654,098,954,
535,583,287,476,017,361,838,752,217,043,530,382,648,490,711,201,450,600,632,
324,195,946,776,384,309,769,939,304,721,255,655,014,059,132,961,830,420,096,
617,194,885,793,895,867,950,853,701,291,426,404,029,270,970,203,805,466,303,
945,406,374,415,569,540,038,848,104,857,885,779,638,340,024,683,756,855,255,
137,224,255,816,965,895,989,321,251,997,126,613,833,711,733,467,816,780,801,
803,821,722,709,546,045,929,275,617,385,403,089,659,464,549,060,153,038,356,
807,884,432,582,540,065,110,011,819,415,793,389,052,988,922,988,126,526,474,
574,630,845,916,916,443,853,407,897,883,161,292,429,497,316,932,682,686,010,
648,656,837,820,760,723,135,985,166,048,784,025,278,841,884,808,191,906,366,
885,693,294,070,233,224,439,136,655,465,650,859,731,109,983,870,655,077,883,
310,459,139,139,289,278,831,928,440,505,526,839,018,017,234,277,207,666,272,
585,701,486,590,350,120,309,799,199,535,455,686,861,574,974,732,946,871,338,
026,488,391,723,434,215,009,988,411,644,651,791,265,450,248,082,827,559,650,
746,598,425,146,410,426,834,413,382,873,741,350,932,449,054,792,859,819,444,
126,903,254,955,841,648,278,247,474,174,115,067,853,636,742,809,795,235,167,
914,277,858,114,079,776,585,309,580,836,328,451,103,477,515,121,281,756,415,
165,272,606,980,035,695,035,084,464,614,323,770,597,139,363,325,782,201,963,
670,169,168,860,080,138,628,877,212,015,197,223,701,554,702,222,047,325,574,
046,599,539,426,968,772,497,330,923,525,867,994,302,052,123,011,410,559,025,
806,027,101,882,076,408,430,678,357,568,172,896,837,713,143,232,607,486,917,
231,320,357,723,321,556,689,439,781,667,666,844,481,047,811,021,000,390,072,
535,922,785,179,336,475,473,267,212,633,499,168,487,787,775,812,043,776,243,
929,364,807,662,701,314,683,589,560,764,864,943,994,262,863,286,178,314,094,
881,313,581,130,234,564,409,210,863,317,410,452,143,292,980,002,902,648,646,
144,870,206,506,503,643,520,410,762,161,770,938,046,288,877,900,025,124,446,
137,029,504,946,582,273,902,894,631,854,735,719,431,958,458,445,138,432,712,
823,420,182,500,049,955,060,570,970,285,522,082,302,859,954,066,341,522,285,
835,180,924,655,438,955,698,597,871,335,987,087,235,559,518,510,385,156,687,
675,797,516,786,606,683,244,734,044,426,734,749,477,967,103,734,676,404,242,
622,197,781,355,051,459,979,555,598,197,637,640,926,256,371,483,603,090,827,
038,476,272,127,612,751,370,749,351,234,056,586,916,365,421,605,754,148,860,
273,207,329,066,900,506,893,724,719,338,723,283,419,042,321,267,226,551,373,
627,409,880,150,320,030,331,993,225,102,512,747,914,054,169,550,096,518,506,
263,630,638,413,238,787,727,534,836,065,030,752,178,641,264,039,975,015,630,
406,800,532,324,073,860,816,039,529,382,785,837,740,815,367,462,270,055,405,
296,356,398,433,466,792,801,976,288,757,463,615,090,740,270,695,102,200,285,
991,659,240,113,567,257,184,444,786,566,755,127,042,605,945,253,967,349,852,
944,274,791,973,050,397,282,398,864,790,252,253,986,040,456,133,724,686,839,
242,182,925,702,508,516,419,956,872,174,407,531,214,690,456,176,835,244,256,
652,705,198,279,525,211,975,399,029,628,053,109,597,305,798,709,167,316,747,
711,647,170,825,713,635,916,653,878,111,378,932,078,531,484,169,879,572,763,
636,430,405,014,980,491,733,395,193,255,172,407,873,565,706,302,425,117,437,
120,269,593,476,685,293,605,506,284,587,391,216,457,966,061,411,871,866,157,
074,721,882,569,049,116,220,948,457,430,463,381,669,890,387,401,531,351,363,
749,435,115,265,275,594,838,257,737,134,556,508,079,357,836,390,902,383,640,
620,808,231,837,343,101,822,773,741,853,839,647,191,266,794,564,074,850,300,
457,323,250,593,323,781,955,383,505,010,700,498,958,072,163,212,981,254,352,
624,115,247,289,135,998,774,583,577,789,168,079,315,905,643,617,516,435,956,
731,839,062,677,783,556,326,920,037,078,981,266,215,593,217,220,408,993,206,
044,311,846,568,777,843,312,547,922,738,279,172,706,783,599,140,307,970,836,
985,647,773,600,424,747,566,259,472,357,395,144,602,922,922,228,194,519,164,
927,528,239,533,524,631,514,371,571,943,434,791,953,636,164,828,636,938,681,
684,140,737,498,148,787,683,843,544,892,938,967,924,823,105,267,689,475,145,
002,334,882,001,154,750,684,171,957,434,787,073,245,722,422,657,635,894,671,
237,019,714,460,168,533,733,279,806,250,369,711,375,238,214,801,847,235,441,
082,309,238,135,917,722,125,839,830,608,816,509,248,173,628,844,921,708,540,
008,884,408,246,749,444,786,844,653,382,230,378,456,785,917,313,484,646,247,
949,910,830,837,474,136,712,415,675,350,747,447,789,241,401,860,917,667,915,
985,997,283,967,784,626,568,858,679,897,289,847,224,911,607,484,306,309,073,
439,963,353,927,374,476,168,653,848,898,162,721,134,589,452,013,076,501,117,
331,001,228,764,340,134,758,728,949,955,923,825,031,008,631,054,152,049,469,
503,947,222,578,754,356,888,472,760,703,652,404,992,488,760,321,099,671,783,
855,034,159,346,385,062,674,761,151,670,578,869,327,710,071,321,764,201,770,
805,101,651,401,126,220,919,565,519,170,183,200,675,237,044,379,731,232,532,
701,599,209,446,660,621,364,561,623,259,688,239,090,321,064,169,015,651,020,
511,997,570,578,135,964,909,897,398,894,990,853,239,244,898,238,336,231,171,
810,214,052,783,910,840,171,396,893,077,397,068,435,163,563,809,761,121,168,
384,308,427,654,243,353,978,738,174,863,706,651,331,440,232,753,249,994,153,
486,222,708,360,179,369,219,879,553,171,258,987,346,102,135,392,785,459,669,
006,594,177,058,813,427,785,966,865,858,908,768,146,806,575,703,009,998,816,
217,518,765,822,176,911,737,580,294,214,141,057,888,346,422,318,960,752,089,
419,349,641,073,243,187,345,256,464,275,239,561,097,683,674,783,824,247,279,
876,512,121,021,686,078,648,751,822,788,574,953,831,614,566,525,753,801,873,
133,402,170,707,395,941,019,337,104,103,199,311,369,572,127,725,039,111,948,
852,643,302,943,245,039,861,525,380,531,648,686,840,089,683,735,918,016,629,
373,274,423,558,563,842,524,421,399,420,874,171,474,175,572,811,203,461,333,
909,170,228,636,364,541,649,622,332,443,324,586,940,469,241,827,726,085,168,
629,112,525,809,350,046,955,356,993,146,026,784,946,072,129,477,677,921,499,
863,464,117,227,049,165,514,791,125,969,498,343,026,981,911,625,651,202,192,
178,076,295,387,816,049,410,214,206,871,205,808,339,569,993,632,661,848,898,
513,701,835,870,335,456,787,269,040,501,970,194,831,932,909,114,700,724,992,
741,159,255,337,893,673,012,930,573,357,176,174,537,600,190,884,319,487,228,
846,706,370,451,285,535,336,095,753,048,894,282,315,901,350,985,618,990,569,
102,761,952,036,807,908,306,015,434,344,987,259,305,086,488,263,594,303,499,
314,368,344,665,748,623,894,935,357,929,768,276,094,024,004,091,309,543,967,
295,253,756,946,245,651,844,885,555,275,709,542,967,290,020,792,976,661,803,
296,518,094,466,582,491,083,881,613,246,008,163,747,578,412,395,139,403,686,
974,338,001,697,602,119,595,490,194,721,418,904,203,718,089,442,205,017,658,
576,399,832,245,796,042,041,230,798,602,645,605,641,619,657,760,040,273,841,
269,889,537,446,893,449,359,177,970,005,130,763,462,985,388,671,019,607,463,
100,751,520,743,068,891,135,217,265,615,263,590,192,728,914,377,107,502,185,
426,098,205,018,192,810,769,469,835,909,170,959,120,378,095,821,073,490,373,
029,166,138,403,052,294,250,976,816,759,296,274,448,478,984,023,803,464,740,
077,673,987,945,656,707,595,407,902,722,639,458,076,302,134,908,871,904,472,
215,960,668,762,984,909,849,790,976,645,139,603,823,567,509,910,792,632,093,
134,990,502,549,369,085,596,756,612,721,351,356,913,432,166,724,787,511,405,
765,811,352,184,804,356,659,995,610,073,781,255,185,222,993,147,784,251,729,
439,317,600,007,529,810,187,920,140,819,293,866,293,730,176,609,661,193,570,
611,988,493,066,569,123,101,144,144,651,119,738,885,875,450,358,534,922,918,
845,004,682,931,272,274,280,812,358,447,506,605,607,014,829,059,131,100,805,
561,422,198,788,235,915,699,074,068,497,131,162,494,237,203,397,086,538,273,
375,108,195,515,019,814,369,071,809,006,411,570,192,229,189,489,931,303,873,
098,233,733,904,740,989,145,719,531,472,437,664,132,676,480,191,964,812,873,
452,445,801,831,055,878,650,070,865,492,080,558,877,370,387,193,240,174,932,
952,549,347,954,650,978,187,960,482,196,815,629,321,357,204,850,981,431,082,
800,608,997,310,803,492,610,135,368,457,378,240,542,402,855,523,625,919,136,
505,518,697,851,761,480,245,152,400,446,190,785,367,164,233,527,519,418,888,
071,402,052,157,168,855,998,913,207,933,951,889,217,593,456,786,517,269,554,
087,611,094,050,500,967,998,437,560,643,809,560,950,559,732,771,044,343,128,
461,308,996,656,778,231,463,319,141,949,341,618,053,069,750,047,799,563,063,
526,056,189,292,474,020,607,283,818,994,870,623,941,307,346,215,488,242,619,
801,612,664,115,679,417,384,893,552,250,577,517,349,459,559,424,807,124,005,
268,195,972,349,013,860,937,483,746,834,449,611,504,529,066,002,103,727,350,
222,754,171,744,086,869,638,617,070,123,089,186,205,035,319,006,371,139,955,
028,363,025,982,303,184,191,263,455,712,537,188,676,460,544,311,977,693,797,
104,586,952,540,363,335,113,401,208,350,411,738,047,574,913,220,290,504,232,
133,487,977,260,017,538,077,247,038,161,994,263,002,463,312,908,132,072,450,
282,618,236,998,826,495,503,927,211,561,360,701,182,322,897,807,540,169,830,
313,123,647,330,608,985,546,724,904,886,928,952,395,834,794,825,271,113,732,
396,040,548,509,771,104,565,927,561,867,787,821,364,282,445,973,590,969,549,
638,174,330,447,757,914,439,057,700,007,634,035,938,985,447,795,630,397,501,
742,242,289,206,980,785,664,827,812,498,885,746,587,733,443,851,141,165,254,
146,595,310,963,040,501,901,059,213,220,430,151,017,744,428,055,323,080,030,
128,913,427,468,881,919,909,248,348,100,703,458,303,434,951,545,604,275,448,
524,456,838,289,767,718,992,433,446,855,730,563,650,740,560,470,483,378,082,
237,738,093,151,680,840,589,828,172,881,962,411,556,921,144,169,447,051,926,
039,629,527,530,030,865,915,574,872,078,389,014,193,672,659,573,941,039,161,
059,371,686,397,302,457,875,820,018,095,645,085,186,757,335,717,451,491,290,
233,950,083,197,221,747,243,807,932,218,992,640,719,197,993,995,233,925,888,
866,428,481,907,787,119,997,997,964,148,494,399,620,212,858,695,271,171,088,
304,123,605,784,836,816,058,445,306,744,785,180,481,104,155,378,380,325,135,
620,478,161,436,420,006,307,668,294,351,457,352,318,943,884,900,945,102,316,
925,282,642,341,768,338,602,657,065,078,760,062,946,402,705,777,146,793,835,
069,080,653,158,458,572,239,274,438,162,683,722,471,904,909,160,034,993,229,
620,854,326,172,295,826,320,049,910,357,334,093,638,354,069,889,062,568,248,
458,846,915,204,378,032,470,775,284,551,519,794,010,764,513,001,105,951,583,
820,111,704,390,107,688,094,835,024,754,252,521,747,791,412,973,090,258,553,
880,673,664,446,734,369,657,331,994,077,086,861,517,518,720,833,314,340,235,
399,043,006,268,118,201,115,335,210,790,792,033,932,473,260,581,084,444,098,
729,527,299,615,199,470,238,967,640,291,775,053,355,811,370,178,000,162,812,
419,818,685,391,947,183,892,778,670,897,775,561,767,391,503,565,908,650,667,
548,795,428,525,983,881,516,984,604,474,192,918,170,770,011,155,204,870,673,
480,771,245,974,597,141,487,315,766,316,364,403,870,755,029,880,173,200,451,
492,528,524,200,897,959,004,163,278,645,427,557,961,846,987,759,584,426,751,
211,728,142,103,550,005,851,591,956,678,979,287,473,291,529,850,009,110,215,
836,407,889,997,519,618,279,738,873,757,097,070,476,219,589,562,684,607,728,
771,213,201,040,642,609,034,919,540,846,581,515,132,952,921,353,833,652,653,
404,514,964,323,288,452,396,523,414,563,474,895,581,721,086,653,435,346,621,
943,171,131,268,048,253,311,736,405,332,797,037,889,003,977,408,907,693,670,
353,267,729,905,083,565,152,420,171,607,970,025,427,829,937,445,346,431,397,
809,700,910,551,276,431,317,809,592,451,876,384,458,317,576,529,270,394,693,
495,434,964,365,961,286,039,002,359,705,559,595,434,046,346,263,261,353,069,
782,339,539,864,547,617,941,823,792,025,347,551,285,051,754,661,410,671,525,
827,446,371,352,976,031,648,234,275,363,189,163,905,649,789,807,828,724,815,
467,884,524,675,882,880,334,771,460,989,642,958,934,579,561,556,231,648,546,
480,866,495,991,442,323,269,337,645,708,979,667,806,074,785,182,627,678,358,
539,101,110,816,846,773,249,550,453,966,499,129,326,523,303,038,931,573,324,
193,628,768,323,221,127,435,877,583,119,737,671,561,875,039,672,596,212,145,
678,110,555,931,850,090,834,654,981,922,062,149,150,158,482,748,496,526,366,
036,049,960,353,541,531,895,170,084,726,000,274,443,544,332,475,745,406,355,
977,249,458,269,346,116,751,909,036,844,379,965,008,991,997,909,584,481,428,
275,988,506,749,944,621,348,849,476,465,666,850,959,756,309,317,473,883,230,
331,088,932,700,674,765,005,382,195,967,382,186,659,926,615,346,606,828,428,
414,664,660,896,345,517,907,159,620,782,162,227,420,671,398,732,187,931,281,
955,454,143,550,499,451,552,587,174,231,597,439,663,874,272,038,343,749,372,
546,402,854,027,544,289,693,169,377,916,986,582,756,827,218,766,466,160,376,
183,289,618,864,394,397,118,273,041,103,389,092,372,356,624,442,936,604,638,
893,463,995,516,062,004,977,521,543,995,740,469,931,288,147,428,407,893,318,
541,133,406,974,554,174,181,166,478,393,254,065,813,142,849,162,682,375,982,
525,236,633,033,973,373,248,895,169,495,828,836,532,881,844,507,978,531,377,
983,289,818,755,785,222,124,930,855,329,133,675,195,716,913,528,549,433,589,
447,426,381,134,457,228,121,688,413,340,672,237,096,049,952,062,559,314,896,
411,766,943,797,979,080,239,623,357,366,227,104,596,833,969,360,110,623,444,
736,382,987,184,698,509,431,803,531,588,731,147,987,470,889,163,126,344,871,
170,401,428,906,834,982,250,065,920,988,386,477,785,342,531,409,588,099,506,
910,829,438,706,988,242,540,078,748,157,831,565,434,690,947,691,400,744,893,
677,432,390,489,461,324,690,123,575,930,607,621,420,140,570,590,482,888,073,
817,253,437,836,001,602,871,509,566,835,461,627,526,666,989,104,484,222,365,
083,490,448,589,485,706,122,359,598,777,589,462,621,664,854,655,565,758,059,
829,894,208,739,615,571,967,078,291,821,599,706,078,686,643,208,863,706,441,
394,779,799,859,872,809,975,342,266,640,372,288,685,847,958,523,406,395,315,
632,054,259,543,503,022,353,159,249,145,598,273,807,117,573,297,420,123,607,
608,165,470,387,140,697,228,642,796,492,613,711,891,790,832,629,779,989,905,
829,393,198,794,975,647,414,687,274,397,373,203,278,467,246,612,235,516,509,
339,346,612,968,312,552,265,069,129,449,784,498,284,418,290,575,409,619,812,
542,599,803,019,442,199,355,622,311,445,517,780,326,485,222,422,602,373,989,
333,210,169,826,580,345,493,398,208,202,134,985,656,280,634,808,498,233,688,
556,383,781,436,192,117,737,122,211,636,938,694,473,028,059,337,748,224,196,
935,232,702,314,498,329,108,555,614,027,291,063,085,736,742,899,587,371,038,
158,822,937,541,245,451,438,712,415,546,808,050,300,130,227,694,329,775,728,
580,985,610,432,265,305,659,425,847,635,674,563,849,485,696,062,661,073,752,
234,154,705,665,231,417,549,103,849,136,272,585,939,397,821,471,820,683,192,
621,037,573,529,257,618,268,537,770,675,997,959,976,100,374,643,192,242,376,
155,701,287,079,355,596,633,349,544,862,690,507,932,938,855,291,689,158,424,
676,564,339,651,583,110,359,895,312,114,731,506,144,914,545,170,397,585,635,
423,630,589,844,520,496,136,966,050,099,428,856,124,974,555,972,491,758,844,
912,135,359,287,137,638,792,827,119,851,635,418,008,885,878,520,567,514,703,
294,820,888,572,703,566,384,799,508,977,290,075,375,378,650,823,459,560,072,
811,906,491,822,816,729,706,842,996,170,023,080,498,678,013,544,877,444,690,
636,163,869,200,252,098,326,682,044,543,533,505,877,478,562,161,704,741,660,
411,596,803,870,466,932,624,467,909,173,409,872,153,077,327,337,307,667,404,
916,508,542,581,142,488,137,560,744,030,566,385,211,115,068,124,645,161,904,
546,915,502,626,607,254,169,163,298,121,034,980,117,810,755,708,274,086,610,
224,298,750,647,171,712,974,039,987,788,825,885,544,690,697,263,392,612,898,
175,163,134,627,766,840,131,668,090,159,587,440,790,508,876,549,222,142,001,
117,882,299,220,854,567,767,262,134,027,404,626,062,238,802,478,459,512,550,
724,862,698,011,603,109,088,706,144,739,367,312,944,661,228,197,866,298,847,
525,422,995,197,345,989,832,785,724,026,258,163,794,219,217,118,537,544,287,
895,148,417,019,814,372,443,793,606,329,347,635,447,855,761,940,685,755,130,
244,128,811,626,173,233,747,119,497,034,388,552,532,264,294,764,117,742,416,
277,941,072,642,913,691,203,501,801,214,365,978,168,118,034,789,326,160,559,
462,569,001,476,389,646,853,359,904,461,108,174,605,221,229,825,289,641,840,
091,724,446,282,566,870,030,886,318,054,376,955,508,517,336,774,223,017,137,
727,485,526,010,290,402,222,671,429,232,452,672,075,584,346,715,876,702,417,
334,809,046,952,815,368,822,602,722,184,199,433,785,336,408,415,084,056,119,
999,172,846,852,752,650,720,295,702,867,501,615,904,243,970,337,249,331,625,
329,116,302,079,907,600,623,008,458,928,521,592,215,691,563,166,803,797,022,
148,719,614,976,026,799,841,017,757,340,629,019,666,241,674,447,265,309,193,
617,148,344,704,478,788,154,427,100,652,100,362,776,253,288,122,923,024,083,
213,938,983,902,594,309,516,761,136,994,432,552,722,057,909,645,526,454,979,
951,297,254,600,848,651,536,197,581,182,130,636,475,077,990,458,075,741,378,
808,865,703,000,373,299,842,702,011,659,748,847,947,261,310,647,411,681,826,
193,266,386,810,870,795,463,859,225,495,292,881,163,772,949,588,230,013,917,
589,588,273,054,329,522,856,191,158,239,420,413,143,232,380,588,149,376,821,
378,649,330,541,887,398,641,096,915,300,207,827,662,927,058,088,839,703,908,
424,555,130,518,687,665,527,640,420,181,259,602,294,007,476,900,014,077,150,
226,852,021,824,876,094,902,117,125,169,150,786,638,861,599,944,498,346,957,
819,242,142,441,070,796,179,351,994,266,746,502,137,689,220,512,358,007,839,
924,600,517,342,465,161,665,010,961,225,056,853,987,396,569,526,898,951,725,
933,796,787,494,341,301,829,804,526,587,679,202,272,701,337,555,141,273,874,
300,134,540,156,809,496,674,096,724,291,857,783,781,049,422,012,673,644,760,
811,677,196,501,624,777,385,306,793,458,273,722,617,136,534,025,474,409,542,
532,631,051,332,674,078,520,374,334,250,310,507,399,919,384,699,803,517,442,
377,872,333,795,787,458,710,786,326,699,299,148,635,417,484,855,082,892,694,
028,409,544,332,177,514,569,413,802,526,873,149,394,703,771,864,296,817,303,
244,733,594,610,244,379,509,516,350,690,904,059,131,559,146,774,417,995,353,
526,503,514,445,625,981,642,598,733,428,436,193,952,606,087,073,570,387,890,
262,266,059,273,442,879,149,756,711,295,733,828,849,889,913,609,700,642,023,
075,438,313,992,940,987,277,772,276,962,535,863,577,479,547,389,499,840,395,
040,305,918,282,657,049,799,505,234,733,575,138,876,120,583,463,275,591,435,
811,228,088,128,469,219,080,273,280,251,957,913,568,320,198,736,237,142,475,
757,293,172,737,759,626,548,721,030,745,774,050,161,524,786,110,095,311,513,
065,494,492,604,801,765,693,774,746,941,062,891,455,165,640,025,893,837,335,
999,715,930,797,742,408,720,348,162,323,063,593,345,110,318,722,954,321,892,
718,942,781,291,643,067,655,313,413,601,057,009,869,921,616,078,239,343,595,
659,198,256,727,703,198,731,784,200,020,143,411,564,031,865,241,038,402,354,
879,009,288,236,133,027,807,200,236,824,895,520,451,416,193,843,232,899,763,
787,442,169,706,448,093,706,390,216,927,859,440,228,142,081,450,918,553,357,
984,423,788,951,381,033,241,356,011,288,912,605,560,174,284,335,977,005,402,
366,469,280,895,380,435,605,468,180,221,146,152,478,016,551,329,840,967,718,
753,408,942,721,905,409,155,505,865,362,620,111,029,754,253,503,340,408,104,
036,743,339,589,718,771,895,677,432,338,324,125,455,217,588,588,010,776,923,
827,670,330,200,397,874,320,645,344,420,603,571,563,595,992,120,836,354,916,
426,010,843,708,672,402,797,247,467,500,944,334,040,914,304,405,363,838,219,
064,991,266,832,731,763,614,528,541,600,248,349,648,311,806,529,263,455,474,
949,284,373,970,871,748,535,186,481,711,930,856,526,391,756,543,942,787,269,
452,270,785,413,707,726,692,797,061,012,988,403,752,554,510,799,688,052,675,
436,233,248,859,796,608,447,603,810,150,767,445,057,855,808,626,548,947,928,
597,773,820,832,849,586,523,333,503,611,536,731,488,184,813,726,205,941,836,
306,505,950,014,494,214,656,633,526,237,190,683,962,395,379,603,406,155,404,
738,300,176,227,569,454,464,956,657,924,538,139,897,982,678,285,739,828,317,
220,877,996,447,044,552,547,053,433,145,220,577,418,114,075,392,023,002,906,
990,255,275,948,487,018,789,050,392,162,340,925,347,525,033,714,725,266,585,
094,235,983,558,462,672,303,195,664,735,047,276,487,898,557,186,956,574,524,
401,343,683,421,376,383,680,067,575,023,971,316,122,260,919,575,983,566,316,
608,411,046,108,915,181,049,909,482,354,932,224,589,042,282,360,929,807,510,
313,260,808,758,962,720,305,222,930,450,183,917,595,852,510,205,544,476,942,
337,439,261,669,771,531,625,009,542,958,614,745,536,361,107,745,064,949,444,
958,035,497,032,789,245,455,738,877,474,728,051,103,599,568,648,636,275,255,
086,480,142,493,361,850,658,779,130,302,454,229,432,699,284,908,024,957,808,
661,013,140,409,226,678,700,592,823,292,051,492,922,765,700,560,704,540,542,
058,634,440,161,897,823,675,822,903,501,435,995,337,827,183,767,243,425,894,
507,270,739,205,090,693,110,055,203,693,416,601,167,541,768,603,336,606,026,
637,039,086,707,085,583,957,983,811,629,771,026,792,405,259,173,905,032,558,
785,519,287,379,236,832,047,625,647,180,920,020,870,673,037,998,190,651,665,
132,950,949,823,857,092,470,211,513,709,197,619,541,354,081,958,937,248,706,
833,248,880,969,867,547,393,016,249,413,636,171,309,038,485,587,008,071,178,
787,916,508,712,149,542,870,263,311,773,042,197,567,825,807,976,412,663,756,
308,201,685,772,468,643,628,709,985,862,888,664,004,553,806,471,008,555,810,
299,357,605,827,650,774,120,152,921,395,369,906,427,892,760,779,995,633,676,
095,105,121,236,219,451,501,752,053,051,488,385,963,400,661,276,889,800,756,
758,534,762,441,611,342,350,481,322,193,358,364,672,721,378,028,162,867,560,
890,352,049,207,385,098,899,075,865,173,501,966,769,623,377,214,055,156,047,
775,564,351,679,001,520,575,551,677,411,925,621,279,406,280,902,406,540,299,
679,347,213,255,298,202,975,028,736,840,437,729,976,224,192,239,936,243,316,
810,939,363,867,594,385,446,274,742,372,509,820,007,452,845,898,605,721,141,
602,207,386,302,547,890,974,099,508,210,007,611,795,777,914,592,496,747,078,
337,307,779,067,009,777,869,202,451,819,610,779,860,651,273,739,313,692,884,
598,149,457,625,392,843,854,039,214,576,863,967,724,589,364,795,341,137,729,
656,370,901,209,064,953,185,921,116,602,872,680,394,127,131,515,579,346,025,
257,576,294,019,027,256,568,563,350,615,661,117,130,559,918,429,183,719,590,
785,449,503,043,895,558,973,936,301,919,606,820,524,827,894,306,775,331,316,
703,861,917,431,130,606,577,690,808,979,624,702,867,722,839,402,506,754,886,
840,144,133,846,066,873,141,983,552,515,266,218,061,360,122,810,992,857,619,
020,144,898,356,923,299,202,511,033,951,369,568,588,418,491,744,535,502,307,
639,531,578,954,480,788,596,491,235,711,762,455,444,767,682,204,673,685,950,
338,081,484,891,805,200,156,797,183,142,396,405,447,694,407,244,218,493,453,
973,338,184,686,109,718,042,277,223,502,202,672,956,161,884,855,496,251,449,
855,782,804,437,692,928,383,829,403,939,403,144,881,365,978,485,642,528,893,
608,776,148,303,699,638,642,023,953,300,707,871,637,355,081,091,803,922,741,
453,657,710,750,033,963,934,874,832,521,492,306,401,328,633,580,696,130,873,
079,409,031,331,225,785,233,678,670,470,817,091,923,730,891,710,627,137,786,
997,060,775,569,747,321,914,368,628,906,435,293,272,136,912,344,785,124,245,
450,886,466,544,108,205,031,967,351,671,583,262,223,116,823,972,522,997,945,
815,285,477,253,032,164,152,604,014,991,495,771,470,659,760,680,179,435,097,
450,216,564,631,737,517,412,068,734,967,614,832,351,436,108,040,059,485,243,
582,209,848,534,346,355,747,920,914,675,964,473,108,386,685,861,093,117,778,
147,484,958,470,855,511,449,870,844,848,025,282,893,679,185,812,502,094,405,
649,713,007,263,362,486,048,205,906,364,282,445,261,357,848,989,780,468,756,
503,387,332,609,267,367,016,275,069,612,424,460,754,538,932,312,815,011,496,
676,647,410,886,238,631,156,077,468,563,800,183,749,936,952,147,509,554,542,
044,467,300,779,099,455,836,612,769,140,920,036,846,321,247,406,362,156,385,
917,689,294,040,211,111,320,659,202,208,543,478,788,310,312,459,853,232,089,
872,682,055,844,275,187,888,086,033,116,829,878,253,182,646,948,285,255,294,
713,678,796,652,473,997,106,084,465,446,462,752,473,268,501,786,972,169,867,
218,478,850,401,867,175,968,620,237,824,968,814,904,528,649,435,004,515,930,
598,742,044,013,335,866,480,777,743,701,608,941,037,635,292,679,821,448,020,
176,750,912,363,681,243,399,863,401,897,829,656,972,205,992,580,285,973,457,
914,983,891,203,578,209,114,163,890,830,827,821,172,485,738,978,333,932,472,
270,809,001,210,470,103,535,192,173,889,220,241,438,693,414,027,072,760,715,
956,552,067,435,268,198,371,079,661,148,698,177,500,205,073,955,044,165,432,
743,505,301,786,857,852,414,519,497,528,878,802,519,527,343,461,475,201,602,
893,648,127,029,600,311,042,731,961,035,583,778,519,081,879,443,311,450,906,
250,750,599,415,710,923,258,573,243,806,384,841,300,621,683,265,541,200,116,
504,742,303,716,218,688,235,228,733,042,601,485,507,735,185,879,336,401,163,
925,949,276,174,481,779,131,246,342,753,546,875,837,666,224,971,776,384,495,
497,273,146,409,254,682,009,682,765,881,580,978,440,579,652,640,134,827,693,
611,352,258,320,101,737,346,038,746,346,145,705,845,628,027,956,885,523,808,
284,843,556,504,000,532,216,294,439,047,454,671,921,209,758,868,620,088,512,
685,862,550,647,458,529,587,029,304,096,367,412,977,093,753,110,938,066,203,
662,167,879,659,308,594,889,782,942,152,719,132,838,893,853,623,006,218,461,
528,516,400,568,273,603,133,920,105,677,386,341,433,867,651,712,805,814,174,
867,931,480,119,891,918,641,839,231,626,095,887,278,628,182,929,725,463,520,
318,621,698,811,311,481,839,499,485,817,762,826,970,750,225,976,214,750,516,
391,679,427,560,103,307,167,042,654,019,931,839,457,719,802,258,426,552,352,
638,509,743,518,990,789,707,713,805,726,355,117,200,938,348,913,382,492,291,
594,524,312,738,253,619,859,683,987,402,379,028,061,886,434,056,411,024,631,
317,370,437,149,205,791,575,130,533,882,789,348,454,376,102,666,012,461,260,
735,140,669,061,178,697,075,603,340,555,492,059,921,863,931,755,349,020,304,
020,906,527,217,539,048,155,953,906,933,896,578,605,701,123,839,478,238,058,
146,396,894,380,459,391,176,948,576,673,729,610,558,956,480,873,493,921,657,
334,387,349,861,870,786,023,938,554,861,541,725,607,953,268,086,615,622,680,
904,769,287,297,472,428,680,347,028,021,777,481,898,568,085,731,991,423,399,
447,768,247,152,655,602,266,829,305,979,411,832,320,782,932,588,431,189,616,
844,010,800,327,522,483,959,787,116,931,391,519,157,482,722,809,018,157,443,
118,763,965,903,417,638,826,251,918,541,365,311,147,855,973,418,032,549,502,
380,578,479,291,708,330,087,044,071,007,261,942,426,453,696,605,627,806,909,
982,941,865,609,602,240,051,572,279,920,746,244,439,742,322,575,804,766,999,
336,315,499,363,101,016,079,326,375,672,188,941,482,102,213,900,250,541,662,
693,439,579,106,820,602,771,554,296,402,442,254,918,763,638,684,251,079,430,
138,328,322,482,552,728,551,341,204,855,265,696,758,256,905,735,571,727,517,
584,457,938,925,170,887,615,189,677,756,782,111,642,665,496,287,535,708,158,
081,754,825,242,011,648,610,771,967,078,569,489,333,288,797,282,352,940,027,
077,796,476,674,427,075,028,875,625,133,849,280,238,832,392,628,728,831,990,
193,180,132,786,849,901,528,581,810,730,852,468,724,253,589,542,124,728,685,
376,731,893,077,339,976,981,762,038,657,089,999,099,557,740,199,912,560,419,
146,857,154,157,520,749,387,857,665,759,895,473,279,208,210,503,814,184,168,
859,326,270,578,919,061,274,081,756,538,502,737,380,740,919,557,913,540,369,
092,205,595,395,996,579,756,613,648,591,318,396,981,858,679,034,945,781,352,
499,256,303,262,887,080,739,563,148,234,253,254,657,418,159,763,940,732,386,
403,521,878,529,079,316,655,446,017,077,198,485,624,780,099,859,122,941,194,
468,444,646,109,065,323,405,638,071,330,281,671,904,226,154,838,336,378,982,
653,777,697,126,202,568,301,685,131,355,096,808,068,151,870,171,481,859,411,
882,081,792,281,694,378,232,608,014,398,015,562,833,138,286,001,812,938,192,
312,954,542,075,855,913,038,545,899,065,287,121,815,024,568,162,919,281,161,
745,422,394,951,114,690,555,052,151,065,957,167,349,228,613,912,660,201,031,
153,553,009,008,563,817,668,588,569,015,121,568,253,994,303,335,589,492,238,
413,571,521,886,460,050,986,897,997,536,475,431,194,887,781,849,145,585,621,
141,479,090,513,124,671,216,785,997,808,258,598,581,708,056,807,532,832,891,
128,265,294,494,107,206,467,513,558,075,503,596,355,672,159,711,294,878,913,
521,441,017,459,870,431,684,967,990,333,867,061,635,698,022,957,638,647,827,
678,412,538,916,879,493,669,958,323,380,416,894,528,649,946,336,385,263,051,
875,638,563,819,341,045,153,689,104,588,411,406,680,558,406,389,635,109,403,
000,201,299,700,087,104,132,355,964,978,961,218,241,102,580,625,625,387,147,
391,393,494,320,693,518,147,072,757,370,188,696,482,432,244,248,611,322,905,
097,025,343,349,083,778,736,691,272,804,931,800,041,065,605,233,784,216,992,
406,295,976,596,756,435,095,249,217,232,130,456,327,623,169,054,637,174,024,
241,825,998,417,639,102,382,905,747,751,405,609,980,460,397,420,025,626,513,
484,534,922,661,747,255,654,922,495,491,099,479,971,196,986,051,369,166,565,
519,542,037,412,732,119,537,593,378,818,815,808,791,936,868,845,486,223,595,
014,658,847,729,254,247,542,355,563,986,566,172,724,239,768,097,734,482,691,
267,898,393,291,054,302,049,848,582,020,307,970,395,781,484,369,559,822,231,
325,010,965,694,796,924,040,817,176,850,148,386,366,316,868,320,479,011,915,
174,483,719,062,396,535,447,193,871,134,575,817,721,031,642,716,168,793,949,
492,020,646,966,330,289,774,615,761,469,876,374,875,722,218,844,677,442,758,
284,624,515,552,725,107,001,479,328,247,973,415,145,861,058,480,430,549,417,
880,301,587,228,650,856,090,253,750,986,581,641,780,071,510,189,834,027,009,
048,888,391,971,019,996,895,643,195,579,614,285,993,161,310,213,122,550,408,
915,249,140,507,658,037,160,654,113,514,890,853,190,475,600,289,270,556,586,
603,061,076,930,488,255,670,108,730,688,071,735,879,921,102,234,274,342,890,
075,339,511,565,483,188,749,451,079,685,005,689,485,310,548,942,135,137,757,
590,138,777,940,192,806,913,322,841,555,550,575,294,130,707,131,145,880,611,
219,383,904,237,830,037,286,145,235,101,827,401,508,985,848,564,167,393,035,
220,477,070,969,714,166,719,491,036,914,907,150,501,566,079,401,383,842,851,
279,661,656,057,866,464,316,703,953,433,981,911,984,346,153,239,387,522,752,
156,138,778,681,485,872,316,154,857,803,279,618,899,474,335,404,042,116,658,
290,338,638,278,314,759,423,363,443,270,397,422,072,947,413,520,041,688,023,
290,002,679,106,544,952,139,702,235,167,826,992,878,165,236,413,120,859,488,
997,093,891,115,847,187,553,485,646,669,221,062,683,998,253,687,812,207,356,
237,522,168,664,600,258,088,362,426,451,298,323,620,624,139,534,816,657,084,
465,474,412,945,112,816,065,138,507,134,814,825,589,761,774,216,368,292,040,
322,573,400,008,528,263,679,661,027,698,532,922,074,794,597,853,206,540,143,
489,977,085,336,376,033,881,665,432,160,865,170,657,128,819,412,243,995,520,
386,961,518,569,746,968,737,909,134,582,947,091,222,104,787,656,222,204,435,
750,997,618,579,282,785,795,598,460,765,201,075,341,925,025,823,928,004,226,
510,929,846,815,235,886,180,623,043,182,299,208,901,344,734,104,799,454,524,
615,702,480,522,130,155,388,696,759,158,129,302,361,501,247,117,481,018,073,
986,536,361,630,219,193,366,348,454,478,800,897,328,768,141,632,720,275,005,
208,341,540,777,181,768,431,176,625,260,962,004,014,226,177,885,933,719,978,
849,124,836,747,215,959,599,278,935,338,220,149,940,493,745,944,532,518,452,
742,205,446,137,926,004,260,629,616,889,208,420,594,750,073,672,349,291,614,
660,217,994,081,122,320,794,583,289,243,391,785,999,961,423,061,014,492,421,
028,510,734,179,265,442,345,200,153,479,562,552,663,272,386,030,481,122,594,
429,923,578,760,570,542,279,596,569,064,944,716,434,965,513,226,591,154,256,
995,740,366,758,932,964,777,590,011,987,787,970,258,846,300,671,125,947,572,
674,518,636,769,605,072,093,277,032,984,010,749,906,284,879,570,609,145,371,
398,664,714,942,628,260,133,002,298,626,163,970,491,910,138,685,982,934,768,
334,471,622,623,040,882,890,455,998,547,149,860,487,938,488,766,044,379,486,
149,022,856,884,127,343,862,746,331,285,227,026,030,890,312,114,694,040,952,
977,903,377,152,244,044,736,662,256,839,476,829,421,271,154,782,589,269,235,
785,970,187,675,242,919,530,668,749,468,292,387,306,053,251,041,857,624,505,
480,904,148,828,663,888,597,130,509,454,920,237,753,933,983,559,980,571,677,
731,176,249,759,058,893,954,832,547,787,652,442,995,167,326,913,146,357,828,
441,458,761,083,231,747,754,706,955,488,223,370,901,271,619,656,715,433,461,
196,738,339,237,556,580,077,192,457,314,997,794,181,197,657,226,740,614,702,
716,100,719,961,386,745,598,380,787,392,116,076,691,357,450,835,008,928,519,
276,385,069,240,512,707,001,458,988,369,676,946,130,197,460,818,856,276,462,
362,396,366,906,375,602,062,723,544,164,346,014,689,626,623,037,052,131,637,
265,440,948,397,971,572,519,381,746,049,517,257,041,771,541,958,843,735,265,
198,754,763,871,887,043,099,483,179,020,023,158,348,195,143,859,045,879,892,
100,593,747,747,747,896,951,562,308,817,766,713,014,361,128,468,244,085,086,
502,717,100,638,202,050,258,822,851,711,638,896,538,373,970,533,791,316,083,
282,894,519,683,270,080,560,081,193,219,099,019,083,708,744,239,397,764,625,
531,206,422,970,327,939,158,813,976,040,477,602,632,529,343,902,527,459,147,
283,288,788,682,624,911,657,540,991,796,410,315,558,573,851,976,197,151,188,
356,632,378,685,417,184,024,168,575,265,618,989,199,228,218,789,791,010,623,
553,311,103,254,634,814,589,479,839,343,029,094,087,564,249,446,052,813,403,
113,085,613,132,718,349,040,801,189,279,933,585,621,293,982,015,802,052,711,
630,022,280,698,910,827,925,546,556,006,934,933,947,598,529,099,847,758,834,
034,592,383,492,011,234,144,328,510,557,280,535,097,628,804,439,264,311,152,
972,566,734,884,027,774,548,570,893,138,779,593,300,130,943,142,500,204,953,
464,698,222,360,927,541,723,503,599,518,563,550,189,563,342,532,069,643,436,
595,557,894,581,393,557,280,773,677,625,104,752,120,783,701,237,727,364,070,
264,078,102,106,719,599,358,131,222,212,620,510,358,052,740,504,479,115,366,
075,176,119,033,028,437,214,352,339,125,174,605,251,518,488,365,715,825,100,
708,453,697,732,290,008,416,539,874,405,441,828,356,389,791,865,965,933,789,
814,866,715,662,594,745,620,297,527,339,922,976,846,780,844,803,878,851,085,
485,946,180,300,220,749,539,358,033,655,110,332,882,267,591,477,049,055,219,
215,613,689,095,537,705,466,057,172,903,643,943,702,522,173,176,177,574,996,
305,594,411,740,696,329,559,690,565,152,441,259,755,011,881,218,500,645,914,
047,453,296,294,465,995,393,768,310,198,684,463,183,616,864,647,880,178,246,
591,700,653,401,776,332,537,623,090,909,137,840,317,685,605,611,486,384,274,
403,573,727,927,504,533,849,393,310,207,067,199,458,248,797,214,164,568,173,
708,340,537,471,571,994,151,945,548,499,314,354,030,077,165,040,446,449,774,
878,321,637,362,247,003,672,893,763,344,785,662,403,149,095,906,389,401,519,
975,497,204,213,381,596,012,074,026,087,567,169,633,465,232,368,970,180,818,
743,641,392,623,321,039,192,516,094,392,505,078,053,440,825,438,741,038,770,
627,962,289,742,504,154,399,786,991,889,302,660,003,433,718,695,107,887,380,
620,233,785,377,989,903,095,176,862,573,059,997,929,742,489,021,292,065,749,
023,119,270,390,451,913,185,980,969,823,774,239,614,501,026,235,645,762,698,
496,190,686,221,801,502,057,381,945,731,524,637,638,808,420,323,147,488,121,
229,217,522,309,263,137,295,937,146,223,063,116,591,257,103,585,794,931,364,
617,087,793,700,673,710,059,404,232,986,416,859,319,186,210,147,441,040,805,
111,328,562,989,100,844,762,189,274,139,851,990,825,865,503,068,799,949,986,
702,322,034,482,363,343,832,975,048,627,866,723,696,671,891,200,549,923,321,
998,853,579,321,420,047,496,758,469,459,273,501,891,451,756,675,390,570,559,
151,286,187,040,426,593,357,521,843,404,855,596,775,400,491,245,792,439,625,
236,570,054,403,809,485,720,384,271,515,170,531,188,059,484,307,886,728,860,
843,571,698,194,318,955,079,630,910,142,173,031,075,251,901,967,751,295,074,
891,474,212,700,044,003,177,803,654,011,404,342,190,982,288,341,603,620,248,
582,941,391,752,138,268,953,440,916,751,159,904,892,738,063,683,499,606,557,
687,164,669,814,124,802,956,439,377,269,801,533,759,169,150,657,927,220,435,
335,021,575,901,308,799,807,798,930,043,308,728,399,822,694,388,772,565,209,
309,075,372,694,301,879,953,020,287,298,920,711,813,825,362,488,077,659,747,
404,509,915,052,186,357,847,801,397,871,701,744,816,546,092,248,380,397,482,
680,608,578,693,429,408,923,007,793,397,534,810,706,357,883,170,710,931,024,
084,599,651,285,650,616,537,279,857,094,390,992,687,204,995,140,804,034,301,
396,200,347,630,561,822,226,894,186,138,211,461,796,291,715,469,153,129,331,
662,252,561,555,075,421,635,478,535,779,349,480,460,066,982,122,819,502,357,
558,648,471,303,968,225,355,044,415,483,451,221,577,409,895,702,781,145,944,
380,538,792,462,497,410,906,446,241,744,556,513,848,831,579,992,522,961,694,
273,830,809,432,107,893,164,653,254,514,783,489,853,355,182,407,380,116,749,
133,801,153,426,116,946,658,865,280,853,594,238,762,724,261,778,041,398,707,
588,848,461,924,635,793,577,586,769,361,475,333,526,219,413,885,032,962,077,
234,291,872,769,122,816,303,039,177,506,061,613,613,827,728,550,403,226,433,
301,639,511,515,830,303,353,605,588,689,183,922,156,510,950,538,342,124,573,
248,394,391,448,563,416,489,646,693,964,749,108,547,414,507,025,794,772,621,
995,420,380,551,717,757,839,725,556,378,026,253,288,793,743,413,089,525,792,
511,852,619,234,519,516,708,602,275,501,969,205,900,661,196,583,890,619,498,
259,042,300,337,945,505,040,299,383,908,880,434,110,987,716,805,598,919,686,
636,050,384,724,435,900,696,910,892,280,262,684,527,837,779,606,917,713,292,
274,169,878,077,520,476,882,271,203,077,397,890,806,383,027,174,806,258,221,
804,794,676,915,863,651,040,152,633,311,286,291,665,397,899,915,725,998,325,
635,594,191,002,921,429,229,256,880,280,230,530,472,060,232,516,539,560,359,
951,736,383,522,132,498,251,383,042,545,695,503,735,516,496,919,192,467,016,
374,877,973,685,459,323,291,155,531,655,652,741,476,064,344,942,561,301,636,
032,830,633,630,336,125,373,079,732,808,860,117,952,258,383,505,296,596,924,
869,189,117,435,969,372,538,526,366,248,612,688,884,898,760,737,601,655,652,
286,224,478,082,595,097,463,283,171,918,502,797,447,632,366,074,452,866,091,
789,831,754,656,103,579,086,919,365,545,017,211,563,111,159,601,474,779,934,
868,091,060,363,947,883,333,590,247,438,985,235,334,354,555,481,626,280,847,
601,882,868,693,993,291,104,259,998,411,600,694,732,977,330,736,812,710,687,
938,096,702,407,473,361,670,404,398,264,160,547,279,085,171,586,023,433,355,
372,762,132,039,855,642,054,941,881,666,979,089,281,741,685,260,376,246,846,
604,338,387,416,477,503,639,079,326,663,228,474,366,977,500,236,751,325,685,
463,054,995,927,640,023,401,660,091,261,901,989,437,030,911,034,002,111,443,
374,742,634,447,250,855,998,219,974,164,453,596,168,341,870,656,040,463,169,
401,811,017,122,634,597,311,054,171,204,678,476,229,521,375,539,345,365,512,
655,343,084,153,802,721,414,852,967,554,837,298,384,528,769,755,666,430,539,
970,722,060,208,560,357,646,906,767,753,010,366,775,248,829,984,463,955,513,
591,859,868,424,618,252,674,350,819,535,873,942,829,029,922,929,513,760,057,
064,745,825,174,183,563,417,318,204,540,583,230,660,225,764,470,156,964,445,
591,502,006,551,179,591,297,665,634,436,491,573,203,184,656,541,560,624,465,
231,299,299,948,985,293,142,982,111,628,178,138,643,430,699,346,957,462,718,
134,610,561,307,759,914,455,901,553,217,890,728,466,085,559,263,557,526,656,
707,850,336,595,383,174,418,730,203,251,382,093,917,689,042,336,061,618,253,
872,412,238,265,152,899,444,438,230,484,168,359,527,731,774,751,425,480,708,
649,628,886,285,161,842,562,630,078,042,028,847,372,267,418,736,499,863,587,
825,826,953,000,542,556,159,107,792,989,249,053,292,809,307,428,743,334,821,
381,553,445,862,652,101,511,603,164,903,078,582,575,075,715,556,736,715,904,
120,189,602,041,013,582,450,604,600,862,288,548,312,891,108,778,592,144,140,
699,034,584,447,686,801,825,945,312,997,245,764,933,160,809,436,312,557,661,
806,446,696,902,800,511,355,137,769,699,414,083,031,110,451,808,894,440,515,
179,110,918,727,570,602,556,863,878,168,244,393,255,060,674,442,256,476,597,
618,362,242,014,782,469,024,679,310,312,358,013,852,031,870,435,814,155,153,
010,437,229,606,057,217,341,984,485,200,054,230,389,914,504,200,983,997,152,
772,999,604,660,009,963,896,435,208,851,041,142,902,513,200,950,613,240,164,
941,325,867,387,213,672,016,262,885,116,862,495,376,388,343,874,008,300,799,
357,832,097,413,430,789,054,749,751,765,378,810,048,479,109,901,750,867,852,
658,433,832,290,268,121,109,982,378,038,865,591,356,997,233,574,782,158,790,
711,559,011,821,776,761,263,703,886,754,185,074,738,634,030,099,742,554,627,
869,873,984,278,682,487,451,179,125,236,290,028,943,828,625,432,336,674,220,
967,661,935,371,382,423,495,819,413,226,176,644,354,040,781,649,189,821,985,
422,805,451,967,530,478,788,914,958,204,842,316,279,232,737,669,616,153,801,
888,828,777,451,188,501,566,657,091,065,410,913,517,790,542,939,203,062,530,
502,918,895,385,937,897,643,325,730,530,024,925,440,605,907,340,204,657,991,
262,314,993,462,069,686,708,045,989,598,833,356,950,894,659,348,605,163,248,
585,560,430,819,483,842,858,799,550,916,324,221,222,509,263,261,949,753,483,
058,032,614,989,968,762,973,136,246,172,050,197,689,161,490,178,105,311,193,
136,148,272,487,640,459,584,820,819,041,607,869,516,537,913,617,594,449,993,
012,011,012,154,712,548,054,626,474,292,707,653,614,059,889,343,430,908,407,
781,193,125,558,739,452,966,293,395,373,653,584,905,701,454,501,413,721,954,
918,115,928,909,185,787,078,590,775,821,867,894,730,674,547,791,421,525,993,
111,764,954,458,309,619,616,489,211,794,531,642,684,413,649,198,151,477,524,
636,439,530,241,426,953,159,454,836,862,898,443,161,058,137,144,885,508,518,
370,029,828,998,889,006,676,223,053,166,749,432,591,086,921,748,118,375,569,
738,738,164,462,318,993,618,421,952,382,405,922,211,278,805,809,951,090,948,
512,623,358,154,619,929,991,566,553,366,007,986,421,069,503,914,604,771,168,
225,838,053,035,412,394,522,120,722,796,890,328,318,949,884,385,166,813,331,
585,528,571,540,157,289,421,119,132,324,016,732,405,893,890,650,798,540,347,
803,510,906,951,592,829,754,413,456,533,134,754,965,587,389,444,368,786,008,
014,289,179,838,250,540,910,067,331,202,616,705,255,454,327,123,444,650,832,
760,052,838,756,812,515,125,151,749,295,640,286,511,303,005,170,136,523,805,
671,320,517,811,360,811,090,548,941,348,005,470,509,220,269,519,224,943,437,
959,195,279,162,582,879,576,400,696,438,931,462,472,044,545,090,537,395,292,
484,932,944,863,923,317,687,607,744,045,503,939,971,403,530,485,095,761,857,
576,139,064,262,265,882,654,880,502,627,816,453,508,928,504,615,998,186,567,
184,116,404,514,306,314,745,869,729,605,756,065,281,782,970,104,854,176,276,
204,164,328,464,837,551,154,062,363,609,546,776,905,358,368,475,612,221,567,
462,744,782,587,432,423,196,614,458,419,419,847,584,114,361,014,137,443,720,
623,506,311,105,654,328,023,882,338,637,477,173,797,122,183,065,015,418,576,
480,654,416,332,329,553,711,516,675,377,678,309,036,839,024,335,687,527,345,
673,518,089,969,610,268,201,389,555,390,652,998,142,334,132,525,847,343,158,
797,837,872,159,191,312,765,029,408,444,657,659,428,918,144,672,865,838,426,
154,604,603,791,429,147,893,395,240,929,845,655,366,847,759,062,325,803,703,
469,715,941,589,919,591,237,859,421,299,751,020,809,815,427,306,526,786,833,
784,266,850,885,267,563,884,841,534,716,323,826,270,660,656,926,210,294,747,
550,621,869,828,487,658,586,148,307,296,921,367,875,194,949,205,043,281,141,
460,055,399,617,756,212,176,148,203,754,475,783,931,116,473,143,741,259,814,
218,794,938,950,479,616,874,118,799,607,551,971,638,140,921,507,637,485,118,
573,785,408,987,111,557,366,256,359,747,173,112,983,121,562,601,485,337,929,
599,505,401,245,657,717,910,780,967,168,439,434,968,421,172,275,955,548,606,
387,016,962,629,284,972,976,092,034,876,701,075,931,080,506,995,115,596,515,
131,135,382,898,681,691,372,519,945,578,996,539,568,504,219,370,325,554,059,
938,712,998,663,755,648,436,402,853,833,320,655,750,385,829,680,766,443,166,
162,084,549,636,271,530,430,986,024,219,334,508,896,074,711,990,077,200,985,
167,575,797,732,853,185,167,825,984,416,956,769,507,493,079,010,197,444,265,
497,677,382,475,873,252,561,525,086,807,344,344,215,133,889,716,181,693,271,
151,734,498,276,453,747,193,241,927,410,602,254,280,288,035,728,633,928,914,
488,095,886,719,152,857,561,318,879,187,134,471,499,745,940,350,589,376,757,
973,367,230,522,764,361,679,442,907,547,925,214,689,791,404,515,704,033,164,
502,854,776,800,125,227,986,207,693,319,261,998,703,667,468,060,797,093,326,
022,764,051,337,292,086,241,647,095,717,328,799,014,588,747,624,821,434,507,
321,699,139,434,461,650,754,789,237,742,185,298,716,640,037,117,164,287,803,
479,040,691,408,005,324,505,960,607,718,922,270,156,512,036,209,540,206,100,
681,905,656,937,250,714,816,919,393,083,093,779,644,843,183,373,339,988,480,
725,109,937,551,664,162,173,074,657,563,085,812,017,078,546,497,363,697,962,
219,684,647,707,382,578,407,664,331,740,398,622,670,577,979,233,164,683,796,
048,232,410,222,562,090,682,172,439,364,396,319,100,797,219,337,310,479,755,
859,400,686,232,087,536,787,629,123,002,313,114,113,299,203,419,191,555,197,
073,975,497,025,960,928,915,229,895,070,996,201,567,401,423,905,683,974,405,
672,121,429,523,096,153,240,613,524,534,005,456,189,579,859,787,929,830,386,
106,376,743,442,948,761,510,246,344,090,410,310,732,092,043,545,969,412,211,
929,408,442,989,741,839,078,702,241,264,704,478,017,202,838,113,168,154,195,
922,027,833,386,948,612,238,732,889,045,072,734,281,997,346,735,004,139,053,
892,382,874,305,202,585,929,863,941,146,490,390,588,737,805,274,777,467,739,
130,145,860,293,070,568,805,021,557,710,089,919,967,288,537,667,291,004,551,
738,711,599,752,077,643,407,717,371,561,635,454,076,211,658,907,719,306,718,
883,172,494,650,952,485,623,737,720,691,733,049,695,953,257,299,557,773,921,
934,439,697,688,854,422,198,381,455,883,353,907,372,570,635,038,720,062,190,
050,410,025,479,510,174,137,999,417,518,894,828,604,751,357,992,785,740,465,
572,657,730,166,156,874,077,727,789,081,923,638,042,312,801,748,036,104,416,
020,432,558,048,355,822,396,346,963,515,186,537,971,725,775,154,009,386,418,
597,549,764,931,038,405,470,254,271,009,299,371,324,070,724,207,792,523,548,
720,235,754,415,868,483,254,559,111,375,006,749,890,308,654,431,363,241,474,
988,447,107,172,489,093,341,566,616,729,170,355,853,880,546,578,368,339,388,
843,840,755,573,265,410,671,592,555,289,139,626,348,988,473,167,357,375,560,
602,191,992,238,261,775,106,714,823,916,753,991,256,142,735,001,057,053,912,
599,525,025,875,183,368,117,374,941,900,778,200,845,478,767,275,667,933,266,
414,186,822,503,339,179,470,233,622,176,662,797,116,510,869,855,156,915,574,
931,072,078,776,469,126,537,524,822,120,615,289,031,672,614,188,516,133,363,
122,700,266,127,866,573,462,294,418,620,558,790,666,494,021,410,739,990,766,
513,521,410,771,133,621,741,596,337,472,009,403,258,207,445,343,609,601,691,
990,975,596,847,558,511,798,245,079,940,813,385,333,238,507,116,717,831,037,
357,712,562,802,615,755,106,964,525,922,515,347,671,677,100,734,222,921,946,
437,130,608,550,035,410,873,066,415,468,124,572,775,812,467,085,626,109,015,
059,939,912,721,181,785,162,564,428,841,740,114,177,531,472,874,625,371,670,
363,891,299,111,861,144,071,669,488,177,187,544,094,322,812,493,627,234,621,
316,441,060,818,070,314,011,410,218,160,900,525,684,498,355,147,215,680,094,
400,368,088,217,356,157,992,893,768,246,572,475,381,383,720,598,371,831,673,
261,777,082,369,978,594,532,189,647,082,572,321,084,632,043,407,632,997,670,
736,482,695,194,998,480,428,612,886,616,278,422,522,829,540,433,920,130,833,
610,053,327,618,819,447,870,681,210,552,998,193,017,944,521,126,736,766,881,
651,353,029,587,008,164,457,662,279,872,909,276,748,193,086,441,780,147,457,
669,770,408,464,449,042,724,469,798,579,591,079,065,693,734,488,622,421,233,
789,059,714,052,895,981,196,945,533,764,686,878,881,170,863,216,298,127,475,
201,557,092,613,727,168,534,323,647,256,443,367,347,999,263,083,515,379,890,
435,365,182,967,569,234,008,366,555,291,300,712,750,021,514,416,684,315,334,
829,132,619,594,743,729,300,646,503,621,136,382,792,944,103,929,003,266,407,
779,616,471,358,955,372,027,390,812,584,996,705,978,047,916,701,215,354,779,
518,132,456,989,631,131,649,846,011,908,628,402,729,447,800,486,434,108,748,
673,643,816,631,718,202,424,040,504,687,591,003,306,618,027,494,182,973,220,
613,421,874,155,730,345,932,752,059,536,339,396,596,792,807,389,545,746,908,
976,530,056,461,220,826,912,057,047,151,533,004,468,018,261,120,823,312,680,
628,702,919,836,099,011,931,216,102,424,018,521,462,850,112,702,244,373,424,
993,934,863,713,062,232,882,662,775,730,728,534,439,069,223,362,289,991,940,
765,050,313,473,373,473,949,267,853,698,733,553,616,791,220,246,589,083,448,
991,186,406,023,572,840,317,177,248,302,254,954,880,162,890,276,470,986,786,
414,944,937,002,597,324,450,158,019,412,483,541,873,684,235,842,817,570,894,
640,265,622,300,525,119,165,961,766,505,595,574,143,944,108,705,235,375,317,
673,461,886,817,982,495,180,313,032,659,799,269,819,446,275,762,079,394,508,
986,631,621,757,259,098,851,040,236,697,563,532,702,767,256,947,854,735,566,
853,806,020,887,333,511,559,062,921,021,301,274,809,958,780,777,264,567,828,
089,655,984,802,795,733,508,643,543,561,276,399,508,513,949,770,364,162,668,
038,108,260,261,623,426,690,793,654,904,108,228,061,640,502,516,109,280,332,
480,457,444,922,497,298,064,056,354,141,947,678,215,325,764,329,604,662,021,
354,856,155,074,714,213,290,263,820,789,530,437,795,587,504,555,577,621,044,
592,796,596,787,395,965,859,077,417,886,592,069,785,026,453,859,274,276,071,
421,755,547,344,856,303,399,809,908,920,821,919,661,798,311,389,529,836,823,
290,912,833,024,005,276,445,079,968,883,010,430,576,993,929,174,724,416,150,
886,062,323,420,152,413,230,513,862,798,818,150,641,900,545,316,557,492,681,
835,823,984,147,076,477,263,540,580,872,913,095,106,667,611,944,950,802,843,
744,681,581,435,881,269,018,389,098,732,499,197,812,403,895,416,738,456,002,
562,002,919,472,346,298,563,910,781,733,265,789,694,108,968,570,818,182,780,
065,466,634,338,913,286,850,850,991,310,547,914,211,132,129,978,453,828,015,
086,543,005,603,378,062,540,326,416,871,407,787,397,050,444,675,035,100,692,
889,015,593,388,286,997,181,464,810,698,869,576,081,306,793,606,475,691,412,
473,226,922,716,482,427,124,898,288,193,238,318,911,344,379,962,952,328,110,
783,916,366,398,317,042,888,623,085,348,634,377,612,371,479,202,258,320,535,
850,723,759,319,139,854,095,318,307,102,102,411,716,869,602,237,446,564,440,
480,529,147,434,705,727,868,464,321,652,248,632,532,006,381,328,405,309,527,
255,241,270,129,274,780,131,057,204,281,946,808,663,354,183,765,512,620,252,
501,330,582,685,061,069,278,069,244,057,822,039,443,959,603,610,576,661,353,
911,279,724,117,046,365,960,254,326,200,881,543,141,014,099,544,540,744,265,
455,721,370,823,734,457,893,643,665,906,610,883,483,973,009,753,696,917,027,
666,077,481,563,850,243,409,002,969,918,825,590,212,615,576,058,832,037,983,
550,887,773,787,794,054,033,492,741,976,735,922,071,333,748,034,947,158,657,
472,308,723,667,099,916,322,368,923,273,008,867,068,315,295,438,022,998,705,
408,801,454,250,703,476,182,565,378,908,547,514,004,512,985,644,421,828,010,
919,622,564,803,782,816,228,583,537,349,989,389,131,816,978,664,950,620,002,
477,521,465,132,727,053,047,543,176,223,037,850,704,433,592,614,720,641,918,
159,676,008,275,494,980,445,757,716,804,243,287,647,072,436,944,106,101,858,
854,209,910,941,158,087,156,845,356,886,052,324,279,236,579,223,692,015,721,
610,289,320,882,153,801,047,534,260,993,317,483,698,502,907,115,259,992,304,
914,031,472,731,039,385,718,454,893,802,826,291,499,985,591,824,514,229,207,
013,040,353,857,413,489,566,429,453,660,918,955,443,661,953,475,138,585,762,
452,021,548,182,917,115,131,815,334,671,049,834,935,213,244,952,528,056,047,
534,613,882,607,828,869,105,321,752,653,553,130,766,050,843,213,392,349,507,
368,680,915,896,885,743,060,689,850,402,602,105,946,113,126,239,937,112,927,
278,020,665,974,930,040,672,996,044,346,364,051,559,309,436,175,417,726,596,
243,383,054,291,505,092,087,694,172,151,338,365,589,226,523,311,609,129,418,
174,148,601,406,355,660,297,290,137,577,748,901,534,163,121,987,920,930,134,
468,826,858,969,089,036,001,116,116,801,257,071,288,321,628,049,907,503,397,
818,830,886,758,655,354,906,325,504,691,019,418,466,239,228,625,273,739,561,
974,163,796,258,716,946,553,758,743,982,863,799,975,182,292,693,176,255,025,
550,216,135,803,192,492,813,012,768,815,084,223,752,924,388,085,297,422,796,
502,538,397,916,738,367,991,335,407,733,246,459,073,255,379,341,275,886,651,
127,137,397,886,693,901,845,442,415,601,257,896,020,890,795,092,114,243,222,
933,397,031,614,638,955,409,625,550,917,487,331,349,470,850,434,456,625,834,
070,267,349,092,752,066,909,590,670,002,846,637,788,859,723,968,448,666,851,
145,325,171,710,187,669,173,123,812,760,436,754,975,999,810,406,314,891,359,
919,395,666,055,520,888,458,046,993,039,024,265,771,670,027,999,574,416,652,
047,135,736,389,378,798,581,352,906,789,890,297,530,402,333,743,374,751,024,
763,722,889,619,855,073,007,191,632,435,909,226,782,405,775,031,040,980,503,
245,366,907,903,558,121,983,783,290,307,745,578,501,604,014,749,301,260,560,
204,688,630,596,085,262,918,147,953,400,646,064,882,044,354,377,324,639,253,
709,734,274,118,213,520,503,349,743,828,134,351,783,424,088,717,210,652,484,
896,618,384,499,015,376,507,965,097,921,375,444,635,450,713,708,429,147,992,
014,589,770,816,054,908,475,796,394,702,617,625,735,296,830,438,106,301,119,
861,216,924,689,505,304,181,146,002,013,806,982,613,600,838,418,226,583,885,
545,552,275,341,822,473,618,631,441,170,546,283,980,172,344,507,022,091,449,
021,636,681,568,546,960,287,490,523,532,926,020,302,670,633,812,395,395,115,
456,300,237,129,305,627,464,682,015,271,589,752,514,440,020,673,657,393,159,
405,403,512,285,583,630,491,340,464,770,303,526,585,417,863,549,542,328,260,
758,786,870,956,608,341,437,713,918,106,033,999,820,398,614,899,908,063,506,
229,856,589,293,098,700,650,932,678,321,524,935,843,276,694,953,282,832,919,
298,244,420,795,223,115,464,517,861,215,986,208,258,417,084,332,771,144,079,
532,988,898,430,122,343,275,397,972,911,788,151,716,730,407,738,729,117,952,
850,899,028,596,845,276,377,660,117,140,459,183,764,489,427,378,419,794,315,
006,676,125,584,140,897,673,617,454,657,109,778,419,869,205,744,615,477,597,
573,861,041,032,060,534,426,055,384,384,100,818,913,574,431,604,253,809,724,
688,901,208,209,113,790,986,985,105,744,348,268,391,398,177,595,108,597,878,
254,305,701,251,209,568,926,117,362,714,731,561,057,076,519,902,896,874,882,
983,762,850,167,108,705,449,257,808,622,888,060,348,772,650,267,508,909,865,
525,031,988,690,740,881,884,708,377,404,832,785,709,469,310,024,516,335,856,
644,325,734,810,231,724,865,483,145,997,494,405,334,347,320,333,198,859,406,
625,436,045,614,763,298,678,677,628,350,451,506,707,984,031,556,301,168,382,
744,025,451,779,498,473,663,777,092,571,356,891,732,335,684,099,590,844,225,
100,151,722,473,760,014,581,801,173,574,475,888,402,190,030,978,153,445,393,
484,499,337,024,696,672,467,328,449,919,524,122,639,918,035,343,148,616,219,
213,634,241,978,519,403,011,492,860,932,046,356,739,259,077,131,426,960,464,
595,268,835,785,439,968,806,940,610,941,641,142,698,012,954,919,647,782,593,
578,327,627,211,826,997,547,946,753,935,828,860,675,454,575,424,431,224,165,
193,974,752,610,531,087,266,190,327,667,371,107,934,379,288,811,006,659,603,
822,083,542,549,556,266,456,574,579,476,906,510,691,089,267,776,981,442,255,
622,249,952,441,733,398,087,563,758,782,050,722,222,719,204,196,333,635,568,
079,896,669,298,404,398,931,250,449,800,963,065,473,007,861,605,457,488,297,
049,552,785,382,669,297,806,599,714,787,336,359,454,090,779,001,540,890,431,
050,983,024,281,441,907,052,305,554,017,064,933,812,916,382,235,405,142,206,
644,954,812,613,347,267,858,920,529,726,311,686,752,736,591,438,210,380,171,
175,242,922,110,654,588,238,104,134,603,913,340,038,159,990,379,591,846,457,
287,611,035,561,610,081,262,396,964,456,455,205,122,490,324,051,833,779,926,
501,734,037,857,827,314,196,821,504,574,506,272,827,919,452,604,509,817,114,
485,610,112,479,537,323,320,027,958,006,134,695,885,162,114,430,067,814,025,
506,618,779,711,586,268,951,455,361,996,166,779,306,915,047,723,336,597,696,
580,426,323,029,668,001,695,448,582,381,160,044,793,701,190,164,504,345,314,
143,373,899,833,411,533,808,224,025,219,767,164,295,447,058,354,083,041,524,
706,159,845,223,711,204,515,667,498,564,052,414,212,282,419,549,389,715,438,
531,634,288,331,215,688,928,801,204,906,697,469,346,051,519,876,494,350,770,
893,035,598,625,981,098,773,862,298,923,357,707,617,051,015,871,449,992,614,
162,807,449,658,781,786,683,771,685,899,253,193,753,666,707,814,295,700,014,
228,840,533,160,806,579,818,497,068,619,050,227,644,679,817,503,318,684,223,
975,298,284,228,122,795,339,391,613,121,424,461,081,096,951,915,070,857,003,
915,550,687,972,843,405,404,454,059,761,963,315,007,965,322,199,707,540,423,
519,730,950,628,551,066,049,156,068,123,589,204,456,710,527,052,841,550,799,
366,339,027,302,027,851,769,635,522,732,343,533,315,396,896,093,397,080,430,
667,837,397,261,679,959,333,756,021,177,996,623,573,894,572,219,918,708,108,
275,807,157,097,137,162,363,736,752,106,849,445,135,926,041,858,111,602,867,
855,155,682,339,781,581,932,889,777,735,207,495,444,558,182,438,710,798,312,
944,542,720,016,376,865,324,499,814,771,886,672,356,051,287,671,387,015,323,
191,940,605,255,661,126,144,923,832,206,582,456,893,701,832,577,440,409,666,
077,736,446,240,977,687,002,252,656,394,796,661,768,062,589,890,966,815,898,
346,342,038,104,796,601,415,900,687,845,602,027,366,009,609,830,427,785,962,
934,636,335,774,686,560,152,980,200,843,686,867,474,695,244,344,607,113,642,
419,292,651,007,601,148,159,971,769,782,025,728,508,889,890,264,741,775,611,
385,834,765,633,680,072,016,211,981,125,819,949,157,713,949,897,584,041,910,
751,015,581,399,652,077,505,097,427,674,775,531,556,749,924,879,104,501,414,
775,706,041,979,231,627,743,326,231,686,581,035,703,112,431,858,035,420,321,
388,203,641,486,013,905,208,903,492,903,271,645,329,060,014,935,173,167,024,
550,153,680,913,738,133,301,062,238,852,919,045,492,924,098,478,165,282,024,
394,513,238,455,618,315,417,778,682,573,765,533,391,185,186,427,388,288,915,
211,738,696,996,729,006,686,134,951,896,493,606,653,116,810,763,618,480,610,
645,496,503,247,778,610,787,385,428,745,615,486,699,625,217,498,902,361,604,
255,223,875,478,188,339,541,245,951,821,950,399,917,145,066,126,302,232,881,
700,813,960,165,931,143,040,591,311,081,239,685,482,755,276,236,098,880,341,
072,226,981,462,823,344,061,925,379,270,882,937,755,239,950,927,487,899,436,
589,857,737,288,933,470,360,178,159,421,434,535,544,346,251,918,446,783,875,
067,379,522,375,146,978,521,921,814,921,633,901,027,845,434,362,121,854,961,
361,787,879,248,437,637,079,745,488,254,784,688,775,644,956,918,091,680,554,
963,693,294,018,273,534,461,352,943,990,493,038,142,548,199,780,203,871,660,
996,615,622,417,097,942,214,931,105,229,982,283,441,521,521,489,331,827,213,
379,454,199,839,233,917,194,410,708,666,503,471,716,155,673,588,524,348,553,
253,772,325,556,278,041,805,046,482,243,510,003,644,493,897,711,356,516,681,
775,799,564,024,418,517,289,295,667,015,565,482,524,662,012,286,548,614,427,
984,264,127,290,978,655,887,240,498,609,797,979,613,639,689,042,626,170,029,
277,783,847,351,636,703,104,916,401,102,191,321,987,511,921,750,842,524,379,
542,563,729,002,468,882,534,464,435,776,551,156,319,331,611,504,872,713,859,
863,234,115,272,498,861,025,805,165,332,659,132,258,608,519,217,656,960,109,
351,548,990,740,392,743,170,063,336,146,269,098,705,244,004,716,827,505,697,
958,599,347,369,979,496,772,378,991,000,501,311,983,034,385,821,606,684,528,
881,167,020,576,559,682,509,253,183,886,142,892,655,723,503,667,992,064,774,
431,654,449,711,479,914,185,438,792,367,499,803,943,230,178,220,589,441,450,
698,070,758,318,611,008,617,894,706,983,162,889,959,736,186,177,841,585,948,
709,049,322,481,701,906,413,907,260,421,070,522,899,359,884,716,366,853,428,
527,923,194,623,109,950,067,806,052,370,003,569,543,002,483,571,676,826,626,
432,751,506,578,983,604,327,317,407,556,548,809,896,313,402,889,721,757,421,
518,241,791,866,133,047,124,536,176,732,878,720,285,254,278,872,169,436,886,
305,004,330,584,015,479,927,119,276,058,527,229,941,713,337,192,382,780,534,
585,293,204,420,062,936,543,576,189,528,917,024,788,548,259,849,401,304,426,
188,217,291,039,570,358,722,852,320,344,321,599,101,432,370,461,316,042,328,
780,970,609,888,933,586,342,394,805,545,277,198,641,003,267,016,668,495,897,
528,772,087,714,287,988,903,078,961,420,133,037,119,934,438,726,132,820,110,
116,698,217,995,283,703,225,504,612,510,798,291,076,700,705,420,690,338,086,
896,572,098,702,855,804,577,423,802,561,647,845,966,132,782,855,211,630,717,
851,135,725,428,443,822,328,961,682,997,233,162,468,698,744,006,544,252,950,
674,834,436,380,911,699,203,818,803,797,254,870,074,804,647,807,172,906,695,
964,728,075,734,040,653,621,416,514,127,776,985,414,544,310,940,554,985,809,
455,091,736,642,416,165,492,808,068,080,111,891,475,615,686,262,138,376,651,
171,426,661,807,729,323,013,367,341,332,287,389,380,470,539,073,642,957,466,
246,764,960,237,517,980,727,277,416,583,956,564,896,940,802,817,798,234,275,
564,635,941,336,179,234,476,322,415,164,558,359,653,558,661,546,150,172,735,
249,965,811,834,801,151,766,198,428,632,423,340,571,327,079,260,939,320,724,
624,118,625,695,263,183,323,971,903,930,310,013,519,273,492,092,743,585,994,
900,693,934,528,236,394,112,353,344,419,594,945,716,935,051,341,313,352,955,
233,678,534,910,208,305,972,738,363,110,505,575,661,991,430,450,432,099,189,
360,007,373,281,894,721,447,974,581,757,244,498,604,751,167,698,279,881,364,
522,935,110,750,338,757,522,679,943,733,492,068,919,153,806,815,365,131,760,
307,169,093,428,788,235,310,744,962,625,923,581,823,204,252,622,329,609,010,
739,603,178,567,863,926,174,276,379,969,827,172,219,926,100,932,100,375,881,
919,838,002,134,166,115,995,853,110,439,564,611,353,488,429,214,062,628,637,
915,923,227,432,797,243,219,852,547,258,129,889,992,439,380,018,793,970,095,
901,125,882,393,369,859,684,495,835,524,609,057,179,384,630,380,567,542,722,
401,808,658,757,193,605,567,825,375,289,302,046,101,508,344,601,677,092,013,
529,229,267,253,358,353,848,319,190,974,383,483,924,207,611,578,610,381,855,
222,731,224,707,286,353,504,130,443,977,612,528,352,772,377,224,954,960,110,
533,545,983,955,446,272,590,470,059,271,147,190,079,334,366,460,676,616,578,
070,144,432,923,540,769,396,404,203,936,817,109,101,555,306,439,134,567,157,
827,969,258,100,391,520,469,502,209,327,339,585,445,314,080,252,074,780,894,
582,637,195,437,212,237,362,178,503,633,288,143,107,766,647,905,216,159,091,
750,017,109,110,380,992,494,530,520,345,436,060,198,078,612,205,288,673,863,
489,135,656,552,703,699,112,614,910,361,385,095,004,758,899,532,982,038,012,
310,013,569,723,231,385,062,778,008,452,343,016,445,248,504,381,496,946,994,
968,829,343,368,358,036,661,418,912,864,201,841,957,882,916,621,073,123,566,
900,242,807,149,217,716,081,561,194,665,385,755,548,186,317,819,046,970,245,
198,691,506,251,328,240,698,530,457,602,155,704,380,395,186,487,280,176,519,
585,299,593,934,712,449,141,018,093,780,652,578,875,618,153,074,911,312,420,
750,855,877,634,505,813,273,407,783,602,957,565,789,936,589,730,346,259,186,
719,273,592,245,079,634,698,223,628,216,886,107,913,002,473,890,683,923,462,
961,303,568,191,258,396,928,235,544,634,196,521,802,195,074,509,783,388,817,
075,475,224,002,103,447,717,486,808,549,960,299,965,643,639,255,464,418,149,
518,447,188,364,836,687,702,216,218,499,265,447,948,105,039,225,655,472,119,
418,698,241,467,691,960,332,346,655,272,725,478,973,695,854,379,664,532,342,
940,969,750,500,867,557,466,971,323,274,073,881,863,263,233,153,377,219,261,
240,636,037,510,119,199,860,443,530,810,435,078,609,424,004,533,082,625,841,
002,837,609,922,504,673,685,464,372,026,385,490,251,527,891,462,563,127,006,
982,207,375,093,571,002,889,815,530,782,185,349,864,853,585,009,698,020,746,
266,760,816,520,603,267,415,328,762,672,630,305,325,212,523,160,811,627,604,
274,120,183,701,302,630,546,537,632,214,683,860,182,426,135,138,435,710,966,
204,661,023,111,298,847,242,164,764,710,373,278,673,691,489,553,824,660,788,
917,716,855,687,396,880,025,892,653,860,957,796,497,296,877,540,564,044,596,
642,146,084,900,563,223,927,871,680,508,688,335,782,910,218,150,715,860,059,
583,312,383,794,891,372,171,158,481,682,613,315,733,977,522,090,586,714,790,
044,398,989,188,845,797,190,368,085,319,648,426,418,278,765,298,809,515,542,
785,420,798,706,895,867,897,381,554,875,718,309,825,415,419,733,889,477,609,
880,206,307,738,214,278,161,186,927,618,795,275,460,050,665,299,833,790,171,
530,500,235,282,956,642,599,717,207,838,136,030,166,235,304,589,066,442,373,
301,545,152,450,155,517,702,758,351,808,674,033,453,545,294,940,793,307,954,
065,723,488,850,749,698,812,846,548,905,948,648,818,800,192,170,885,248,956,
080,242,800,348,644,482,920,108,648,088,456,313,975,734,523,961,359,231,114,
503,840,859,730,386,596,209,274,251,986,884,216,967,347,406,257,259,103,006,
235,411,584,677,324,770,574,378,872,360,549,153,046,547,437,165,522,014,129,
941,007,690,237,385,339,848,763,097,588,772,028,307,799,074,882,139,270,367,
622,168,320,216,306,197,973,857,516,779,971,782,946,595,719,860,978,954,380,
090,808,117,885,992,339,662,493,055,725,200,221,300,762,245,583,160,351,308,
444,693,262,118,174,548,228,238,777,316,241,675,605,957,094,871,410,637,280,
501,906,262,131,742,531,547,358,982,525,899,117,060,361,850,270,240,298,901,
268,385,371,860,960,213,873,213,978,661,474,735,976,222,804,250,213,136,311,
280,692,769,096,173,070,339,219,422,613,525,779,070,302,822,038,588,897,034,
381,243,088,896,611,891,700,645,903,522,130,255,062,983,324,077,551,248,978,
578,538,694,391,451,602,568,850,948,690,302,089,047,884,118,394,984,905,875,
980,724,623,480,143,312,112,227,860,980,338,729,071,239,848,366,197,234,802,
270,006,763,141,222,347,151,460,759,049,056,038,224,892,151,012,275,766,248,
903,947,870,284,057,917,021,048,482,325,800,363,631,729,348,475,003,025,374,
800,799,969,278,573,448,267,134,845,768,160,552,631,140,636,856,948,912,540,
650,887,809,919,394,519,627,517,071,117,466,225,110,677,415,531,129,990,794,
498,274,269,505,387,272,669,734,712,462,428,106,134,946,083,392,867,361,523,
230,951,635,551,336,905,993,783,342,791,642,944,512,220,380,102,022,792,625,
691,782,253,931,536,703,285,206,877,836,490,973,562,049,514,572,418,411,485,
418,495,443,093,883,069,723,515,408,315,226,435,842,338,624,823,133,698,767,
205,918,418,551,737,795,900,104,209,338,675,530,667,293,046,337,500,441,772,
145,701,147,618,699,665,559,672,675,819,489,409,915,472,519,440,807,293,193,
138,166,073,426,299,289,541,795,500,600,964,922,911,928,512,184,953,393,778,
058,968,890,438,286,162,926,970,059,487,617,337,770,261,340,783,842,024,177,
553,471,175,697,269,449,186,059,074,738,278,040,156,273,584,031,352,623,592,
756,266,009,544,600,837,961,086,299,206,227,633,500,031,859,663,033,756,954,
003,132,406,280,630,926,236,392,170,529,443,559,210,067,473,322,357,265,306,
730,951,780,212,101,562,018,998,416,091,981,380,441,282,472,585,734,279,194,
784,205,530,819,834,395,705,810,226,276,162,589,503,067,435,081,154,863,134,
618,161,645,101,986,189,262,563,202,771,447,068,308,501,414,282,942,952,885,
219,384,020,067,426,381,105,584,850,068,232,109,407,252,374,417,673,991,664,
326,429,471,452,830,913,127,989,610,629,815,326,246,190,476,346,393,127,655,
591,741,843,031,405,079,368,123,505,859,668,484,180,365,792,471,528,103,692,
153,496,708,903,084,095,249,225,197,643,768,596,184,681,079,869,560,650,584,
604,949,355,121,982,710,401,563,907,088,511,370,019,666,837,674,943,794,554,
813,790,914,321,754,677,694,784,783,445,069,088,967,990,440,064,632,238,162,
027,310,295,056,118,718,876,692,793,896,444,698,343,443,702,285,669,625,141,
511,859,497,482,118,461,896,355,494,376,393,476,463,657,951,420,067,821,988,
778,999,241,092,076,450,737,145,737,571,027,401,393,229,586,509,357,276,452,
191,879,574,345,454,291,291,566,500,428,309,005,587,239,975,704,118,527,927,
032,917,077,730,559,639,223,090,768,698,347,015,709,714,287,033,994,841,449,
044,565,941,581,190,435,837,728,978,855,594,429,655,841,679,342,253,852,347,
331,085,932,551,937,366,923,572,793,486,711,948,512,656,121,289,599,590,679,
657,725,136,641,906,848,330,262,190,822,207,481,641,589,269,746,921,619,461,
777,302,592,219,081,908,261,980,504,100,728,385,267,854,035,174,235,039,205,
490,792,866,545,086,736,380,795,004,704,883,969,171,816,905,395,086,950,323,
155,988,511,679,600,125,039,083,548,804,762,579,355,955,874,415,713,632,913,
104,658,082,138,079,401,811,641,133,639,938,010,913,718,922,256,606,035,699,
661,641,196,486,839,500,018,979,307,448,712,656,762,645,650,389,941,584,470,
241,203,440,941,505,525,310,549,971,069,596,524,507,727,973,638,313,217,993,
890,241,228,058,028,426,817,669,165,458,987,259,346,208,625,643,513,400,598,
716,266,935,843,058,615,826,441,893,607,968,579,003,279,104,718,887,075,593,
496,149,461,690,420,691,228,648,964,090,737,691,981,491,204,521,275,993,328,
922,227,462,551,760,617,347,240,093,795,930,794,286,709,297,274,540,125,432,
782,933,014,567,423,161,105,508,709,383,395,073,920,547,067,438,798,409,768,
481,792,491,814,947,346,289,325,039,233,497,768,074,604,852,323,434,282,184,
989,054,500,513,875,265,003,893,496,739,980,960,255,276,578,081,942,822,708,
207,013,938,970,174,945,928,892,996,607,909,148,424,073,888,852,510,672,034,
732,807,530,212,401,553,251,710,668,098,639,988,229,660,618,568,776,216,630,
502,935,876,060,907,469,196,788,697,112,957,653,276,755,358,108,297,599,750,
939,919,966,752,088,141,996,885,399,596,671,115,041,071,895,658,164,502,588,
977,051,021,442,288,745,017,202,252,509,293,515,187,376,624,838,177,547,280,
618,070,983,524,632,867,710,852,454,097,733,095,402,524,277,695,369,444,144,
310,584,285,694,219,766,313,219,984,307,023,913,938,871,324,175,409,720,953,
593,337,071,407,953,126,149,946,297,138,983,835,653,581,217,280,019,153,724,
768,259,423,821,323,708,431,729,201,884,709,864,751,255,073,100,901,016,839,
191,943,833,260,728,930,841,431,028,288,789,253,551,883,019,649,110,257,040,
604,317,586,007,574,412,543,808,066,914,782,657,994,530,073,052,794,866,328,
875,586,991,460,751,777,981,145,581,701,938,864,511,541,154,344,287,775,217,
738,765,761,822,967,093,000,351,238,472,257,055,826,286,796,637,509,962,148,
564,235,329,888,267,597,742,924,677,520,036,619,496,190,568,301,727,313,880,
261,592,696,092,214,763,788,601,867,978,727,393,186,126,449,467,470,788,405,
829,615,966,048,542,935,189,791,555,527,288,765,969,480,958,803,357,367,224,
831,192,965,590,768,188,657,571,534,262,058,695,032,052,345,590,810,903,793,
677,795,905,918,152,857,603,855,311,405,905,213,836,980,218,059,175,556,985,
449,406,173,981,563,284,799,261,556,277,656,514,697,460,355,617,161,672,572,
098,283,837,887,174,370,256,759,026,063,203,418,891,819,525,567,125,722,544,
367,057,996,676,172,342,980,131,880,406,879,691,844,962,761,498,089,342,327,
208,562,559,369,924,133,659,742,782,889,790,535,237,274,895,311,897,965,835,
797,180,644,976,885,429,485,141,067,405,609,314,147,663,154,833,421,930,501,
427,350,912,057,242,724,421,233,625,380,695,873,872,677,020,463,589,165,178,
415,661,112,235,313,256,270,043,068,121,189,182,664,219,600,521,945,782,308,
470,346,727,181,144,406,235,872,271,412,900,223,310,110,845,690,351,607,305,
232,361,887,155,652,992,518,437,871,079,231,112,057,102,200,951,587,024,719,
690,263,916,766,090,181,283,051,457,201,798,065,327,814,320,836,346,527,979,
294,827,520,205,046,679,915,496,939,250,479,044,149,490,411,682,136,688,175,
055,800,195,791,099,618,839,843,051,360,194,292,783,986,699,473,521,045,830,
726,207,792,888,595,042,133,489,301,629,886,957,153,015,180,161,351,351,345,
269,478,117,696,926,035,405,175,962,573,435,575,168,565,361,912,131,494,641,
610,493,695,437,179,471,582,759,986,207,064,805,415,230,833,891,539,149,480,
003,064,927,087,618,766,401,108,553,525,532,194,059,401,887,942,161,171,066,
584,589,767,629,244,544,383,438,129,509,300,463,552,367,733,598,065,232,925,
413,891,898,014,185,816,992,077,598,413,325,910,532,898,817,450,117,840,852,
692,124,507,313,928,401,693,423,472,644,289,090,182,431,181,500,850,867,648,
014,133,101,772,179,575,736,323,763,852,367,614,182,116,079,360,001,779,610,
948,259,809,998,485,912,060,697,671,382,053,206,800,719,285,121,648,814,486,
004,135,585,646,991,337,114,217,462,568,376,744,659,626,881,809,312,857,056,
711,646,016,178,241,034,306,183,267,798,335,713,889,874,390,831,420,337,216,
172,265,244,209,763,499,268,686,626,019,280,378,765,318,258,803,602,457,868,
042,423,145,740,481,849,200,850,766,044,114,609,952,689,105,848,296,790,352,
692,900,020,396,361,799,043,844,127,488,166,879,377,722,067,564,405,491,195,
211,127,659,170,334,324,017,196,102,005,712,813,557,129,246,386,561,515,639,
130,258,150,255,458,396,511,816,053,630,417,209,799,684,879,568,679,947,644,
003,056,381,008,563,154,033,286,998,100,243,519,278,531,480,461,757,020,318,
846,464,296,498,954,932,791,975,430,318,599,655,108,440,335,435,686,372,384,
265,350,384,528,872,871,940,656,862,790,731,387,032,159,480,198,044,185,801,
975,382,738,248,712,561,975,009,500,958,043,831,971,602,390,615,530,502,260,
014,388,138,494,267,796,371,328,029,681,920,095,832,445,820,311,834,093,612,
827,843,574,118,505,259,435,315,622,292,633,357,352,727,299,541,428,685,311,
849,230,006,284,603,213,276,025,335,508,477,848,803,787,902,545,844,546,663,
745,106,370,463,242,332,422,239,842,142,992,176,591,488,574,139,167,599,935,
413,132,927,301,584,719,826,168,991,520,898,498,137,828,654,203,471,788,116,
704,746,255,613,796,551,299,744,505,242,701,790,816,481,607,101,420,661,997,
620,340,792,297,953,706,827,963,043,451,895,191,716,324,382,363,337,354,553,
299,103,645,580,373,982,272,680,646,442,948,413,662,307,527,797,299,516,893,
713,472,134,583,962,301,326,609,965,921,276,943,956,853,071,713,673,541,380,
999,073,492,415,171,103,324,152,371,341,768,210,852,591,148,926,379,981,721,
254,744,741,261,266,534,701,513,137,416,091,775,870,713,562,302,584,224,356,
182,344,766,426,142,370,100,888,646,151,490,146,205,213,109,253,157,484,698,
389,944,116,839,016,953,303,190,439,233,909,823,397,495,020,963,677,574,640,
569,868,254,101,526,607,182,068,898,020,402,166,965,214,121,675,432,042,127,
232,603,940,259,262,129,754,383,167,269,884,530,253,650,809,976,668,771,762,
286,490,450,050,314,027,505,579,078,873,400,574,976,065,723,638,689,953,257,
792,655,902,704,002,231,710,414,465,127,825,741,422,512,343,349,984,779,903,
681,468,752,118,237,979,972,905,132,628,104,289,327,106,507,076,683,739,447,
062,955,388,411,392,930,621,256,519,741,197,372,241,577,881,297,716,087,542,
420,269,788,180,393,664,743,290,387,410,232,854,036,303,505,525,699,891,483,
663,666,076,575,029,798,000,667,038,902,100,693,342,139,336,694,658,014,476,
419,826,765,593,165,499,602,495,937,492,992,192,837,174,052,505,277,053,613,
108,107,564,895,001,519,593,854,503,019,162,229,091,756,250,827,111,415,897,
294,941,733,022,007,021,438,960,640,646,159,204,119,935,328,966,902,185,585,
685,567,235,023,564,255,648,948,412,023,497,923,565,998,007,942,425,530,230,
364,639,979,362,844,352,053,732,518,007,102,767,058,951,967,866,771,855,697,
387,997,958,075,595,992,784,026,715,403,706,954,822,176,759,189,150,038,745,
414,586,065,119,477,034,166,188,785,769,574,661,720,466,230,676,805,873,434,
136,755,938,481,658,153,219,247,478,724,007,808,827,727,646,834,060,648,348,
291,556,779,740,375,398,756,832,678,067,815,931,868,918,125,694,857,944,497,
294,229,304,976,895,493,378,317,012,777,548,740,038,856,739,473,765,181,236,
451,091,393,667,052,423,569,520,194,789,228,206,931,596,553,727,161,019,662,
041,007,857,171,555,997,175,110,928,550,569,453,216,703,294,403,887,424,915,
018,762,119,095,816,205,605,518,026,500,707,590,003,518,587,503,844,859,290,
156,793,040,447,877,341,630,305,894,422,768,572,056,713,958,217,138,525,593,
370,458,601,711,594,760,612,960,262,281,953,371,235,094,990,556,645,258,085,
309,687,459,740,812,672,757,761,206,026,459,929,702,940,830,552,552,396,452,
289,306,752,835,687,753,590,279,796,264,186,479,343,093,859,809,933,910,242,
414,659,777,023,900,534,744,592,331,805,883,865,381,322,840,589,711,943,324,
020,610,666,410,649,460,452,875,411,072,719,355,892,596,505,484,110,275,713,
254,352,368,369,001,294,407,877,136,937,157,340,901,393,791,399,265,437,867,
301,514,978,873,681,952,736,703,636,034,713,040,894,058,854,285,562,748,387,
727,054,361,497,779,837,963,852,979,230,223,099,283,352,993,585,855,579,182,
839,986,884,287,899,193,143,788,373,374,690,539,830,988,200,148,688,555,685,
120,816,289,975,422,312,449,828,796,507,066,530,625,586,923,268,595,393,899,
208,580,125,126,482,781,250,701,341,993,684,750,920,192,984,163,249,430,970,
672,610,104,344,484,794,336,362,704,269,342,298,062,036,409,713,417,559,067,
565,169,437,732,739,455,113,040,790,915,719,899,408,823,596,360,833,005,873,
906,147,713,547,001,438,727,949,823,884,815,830,582,689,697,493,441,135,223,
210,292,274,385,753,435,709,720,254,165,566,200,409,895,651,860,312,190,994,
000,955,517,409,092,243,748,771,576,157,059,616,950,586,364,882,669,518,415,
749,103,264,694,883,300,865,902,851,037,649,905,806,674,472,628,110,939,595,
801,233,692,264,565,361,582,217,155,524,300,447,506,495,508,161,203,298,447,
684,616,123,267,995,065,996,893,021,195,249,582,837,274,700,481,923,641,298,
771,231,213,904,575,872,686,351,785,485,111,914,409,536,193,801,560,293,489,
219,707,737,505,228,781,139,314,147,477,317,256,312,745,917,503,928,424,179,
722,748,569,992,938,057,293,925,527,883,545,438,966,480,582,450,679,969,591,
225,138,250,492,914,726,980,028,792,777,744,476,515,376,683,500,058,346,781,
386,947,398,042,717,958,007,559,373,435,597,811,558,929,285,567,429,538,307,
258,850,666,459,678,137,066,452,915,187,826,772,407,128,803,398,836,564,913,
916,551,158,334,451,652,197,751,200,318,491,052,282,514,146,529,879,274,391,
393,071,935,570,413,093,853,619,096,155,215,827,867,631,223,156,487,944,231,
153,491,792,610,099,495,235,199,928,628,300,276,513,873,968,202,154,497,512,
262,260,437,631,793,776,253,897,889,185,611,445,465,756,937,512,303,494,278,
040,909,937,506,774,198,436,471,516,201,021,509,997,509,965,939,002,876,139,
602,775,001,969,142,431,733,378,897,254,845,314,200,191,555,230,592,590,281,
319,361,511,722,331,576,294,706,417,140,632,135,889,220,128,695,816,660,967,
396,141,404,063,156,373,121,255,168,802,052,721,632,920,453,885,341,558,905,
335,877,367,775,496,233,694,623,464,802,021,506,928,356,770,906,788,860,224,
916,698,145,343,295,264,759,699,111,951,329,197,545,546,877,888,404,025,855,
768,737,527,912,040,321,486,157,840,124,846,102,124,794,389,947,636,483,962,
285,610,958,533,967,900,232,371,514,181,856,384,012,837,628,002,169,534,938,
666,444,224,190,387,042,658,350,135,253,531,973,212,057,034,989,300,281,986,
045,689,092,029,754,515,395,547,792,682,087,248,721,430,847,203,790,661,427,
467,160,722,694,340,023,695,769,504,766,485,857,183,580,994,225,186,180,758,
461,178,704,652,562,684,649,073,860,280,274,083,237,225,449,880,045,437,012,
733,237,161,076,206,175,241,022,259,851,257,140,681,457,078,274,176,719,026,
559,513,919,840,095,372,424,369,531,346,301,934,815,140,228,958,177,645,617,
165,220,572,521,051,518,093,497,107,847,929,612,412,276,177,810,411,224,223,
017,754,804,522,632,972,064,417,021,667,012,894,843,829,721,748,815,050,502,
437,630,796,753,622,838,070,447,549,614,590,764,273,051,055,552,148,397,258,
120,900,979,941,129,614,945,883,659,895,097,889,416,236,665,158,484,280,852,
291,487,087,854,520,936,870,860,942,896,829,518,882,815,880,310,019,611,737,
622,111,714,792,425,040,922,847,827,130,135,443,290,793,583,760,870,378,784,
068,404,307,725,577,259,433,120,458,993,469,396,255,777,457,223,853,472,752,
700,808,429,811,430,550,579,206,996,077,356,681,171,154,505,534,763,545,456,
225,005,525,160,608,150,312,903,409,236,746,118,239,624,438,886,999,603,329,
722,579,291,017,963,193,458,723,326,579,262,756,754,006,827,467,032,075,631,
002,338,857,560,650,610,779,714,430,827,599,195,272,447,034,958,319,507,915,
244,256,058,262,586,454,905,760,898,031,718,626,352,841,186,519,714,674,677,
778,217,743,907,736,267,920,871,028,567,820,828,946,532,411,375,238,525,017,
770,495,501,155,890,310,422,654,665,798,748,635,471,407,808,730,600,150,005,
860,689,263,433,845,502,526,127,430,606,182,919,585,929,908,978,445,050,664,
200,200,157,033,821,046,808,835,646,734,244,628,980,360,952,671,779,335,448,
901,618,377,653,561,890,758,801,784,484,043,981,448,996,161,756,872,472,563,
912,418,255,614,828,032,473,735,209,481,135,988,580,328,142,392,100,355,898,
181,052,493,110,932,629,677,068,894,491,912,336,169,789,039,453,501,304,577,
990,889,915,609,360,157,011,635,228,610,400,621,543,860,783,784,420,699,414,
437,323,718,325,902,785,650,782,271,269,299,893,496,038,354,953,650,953,323,
652,865,702,243,494,655,453,384,951,070,577,982,341,434,123,736,187,032,526,
207,761,271,393,362,163,319,852,629,058,256,958,165,739,711,996,528,868,045,
719,956,213,417,782,605,409,594,015,328,322,873,846,808,263,378,894,438,647,
698,374,506,914,354,687,296,411,940,260,807,178,829,223,608,893,701,801,258,
620,561,625,704,872,940,735,855,722,590,754,132,478,519,682,955,059,227,656,
337,235,559,112,079,026,880,585,454,355,540,457,998,239,960,610,459,367,513,
181,509,075,833,608,241,258,620,494,539,676,555,083,305,648,324,391,410,878,
147,492,593,603,702,700,735,121,537,021,268,419,028,280,630,853,481,131,859,
847,279,220,968,637,649,195,178,168,961,628,028,130,927,212,233,570,514,752,
925,212,927,928,184,359,126,868,040,171,367,371,513,310,340,851,475,240,752,
788,776,077,146,063,882,009,225,171,890,482,579,180,810,077,268,975,326,620,
946,942,827,148,145,864,328,156,530,753,586,892,853,275,874,538,938,546,959,
841,222,215,061,102,212,101,320,662,441,277,181,972,604,357,116,302,934,511,
267,116,347,940,730,289,062,351,878,852,454,035,487,128,525,796,005,741,913,
855,364,702,170,575,572,631,797,398,981,584,433,874,638,172,587,687,535,413,
661,740,480,628,362,384,134,429,334,061,098,246,859,483,101,398,023,146,054,
936,395,969,324,061,151,896,104,726,421,097,360,928,331,270,528,228,879,459,
671,107,029,161,880,861,482,664,913,009,609,639,939,301,018,260,461,054,222,
633,688,485,095,109,137,155,427,226,063,243,119,727,148,513,422,389,355,889,
449,511,461,044,137,529,037,138,056,443,493,956,279,583,843,572,288,174,199,
799,725,990,607,680,442,600,738,863,209,320,443,355,813,306,955,653,128,022,
740,528,710,787,824,052,279,518,010,757,971,727,529,137,666,177,278,409,277,
654,812,927,912,971,502,584,080,401,611,810,630,399,139,209,327,532,434,036,
045,658,343,441,256,414,051,293,293,174,075,582,029,544,695,297,411,201,459,
944,802,134,492,093,073,195,561,567,505,010,736,934,349,323,357,271,079,568,
375,369,745,287,874,796,124,806,857,501,716,795,350,358,681,874,657,963,091,
435,730,358,819,603,732,342,433,078,352,244,476,803,573,426,753,899,722,682,
168,233,869,279,687,543,119,450,110,972,824,465,185,673,569,821,952,617,689,
686,588,922,086,184,603,507,418,568,207,640,862,966,964,858,319,363,598,185,
480,096,312,620,813,900,174,866,018,076,788,150,399,755,873,574,475,379,908,
065,842,345,669,958,475,757,914,938,702,893,490,558,122,056,220,905,175,491,
750,129,157,885,090,079,181,095,085,070,812,990,592,099,926,511,731,603,228,
431,441,765,982,238,754,633,636,542,198,846,133,178,358,324,643,355,407,493,
844,327,880,642,428,381,028,333,141,103,235,340,526,797,104,445,009,824,162,
064,791,727,145,944,256,482,616,952,933,354,051,624,008,221,237,910,104,782,
583,086,931,063,946,639,557,188,137,648,550,852,971,077,468,220,518,014,099,
665,396,791,398,012,048,438,299,186,991,272,467,019,370,962,713,224,785,623,
734,035,985,866,973,009,891,066,293,299,162,187,154,861,336,891,147,102,026,
345,471,974,952,563,772,849,471,533,235,970,852,069,897,374,467,465,835,612,
844,486,153,753,717,786,652,480,323,648,664,040,229,199,401,308,516,556,394,
224,504,707,675,525,096,349,318,389,364,225,903,690,183,013,053,345,108,975,
230,417,077,155,066,930,634,749,724,489,788,199,621,851,055,507,287,238,790,
925,465,458,921,110,993,491,618,772,979,832,718,877,163,916,686,830,675,403,
138,458,850,924,786,903,887,039,413,647,972,407,135,574,368,228,812,267,279,
010,133,358,883,460,077,305,452,356,891,230,670,323,820,328,929,532,254,066,
127,786,891,429,393,768,639,316,583,789,784,835,537,169,549,103,376,824,324,
996,982,424,086,990,365,345,342,348,758,186,320,955,544,575,781,256,800,590,
175,775,929,571,592,577,097,472,625,728,869,510,900,012,532,748,732,128,612,
517,303,334,083,930,156,264,670,449,389,566,658,008,324,188,155,163,280,075,
984,802,491,463,502,941,507,523,099,202,359,775,118,828,232,095,271,878,504,
794,667,080,655,382,587,899,483,499,339,749,850,259,722,795,809,897,336,069,
086,993,474,271,120,744,318,520,096,518,961,747,605,989,963,724,706,491,029,
773,009,715,174,137,676,246,185,283,837,309,067,842,030,640,698,118,658,920,
516,357,851,343,321,046,740,158,358,542,503,636,134,758,820,941,257,389,313,
997,313,566,170,951,701,448,384,509,846,795,740,733,299,468,256,118,053,783,
686,687,592,134,476,962,701,805,415,019,803,156,697,835,542,432,517,599,594,
197,852,680,080,204,545,721,899,335,143,025,360,674,330,555,408,525,092,198,
678,416,865,837,516,606,894,594,249,604,743,655,379,835,333,297,083,563,607,
868,813,566,221,276,827,110,717,701,948,352,021,463,856,595,281,037,298,515,
538,790,046,800,482,907,595,133,204,203,283,660,770,424,421,732,139,783,276,
870,358,090,105,044,649,326,883,961,763,858,534,093,593,642,796,736,596,112,
150,478,233,852,413,551,401,408,886,122,235,437,956,003,820,553,870,349,760,
503,420,785,938,284,689,577,959,644,659,707,484,960,276,024,561,479,046,913,
469,665,049,721,980,975,680,238,460,328,406,810,821,417,266,227,835,374,102,
602,594,540,691,361,920,474,256,227,283,866,940,353,623,942,642,986,725,431,
034,505,580,194,160,716,250,348,832,013,097,421,419,963,806,676,838,331,312,
999,927,182,906,375,417,051,375,096,735,277,787,809,625,232,991,988,204,619,
058,526,258,560,139,905,004,178,665,045,469,263,921,045,138,273,319,564,668,
954,413,648,648,470,015,093,409,498,206,637,164,115,077,136,572,733,284,817,
017,992,028,119,639,856,100,856,629,992,320,588,513,870,438,470,237,788,412,
896,661,229,650,582,774,649,752,785,766,014,822,747,638,571,989,715,063,444,
248,106,562,481,628,594,935,366,764,133,577,149,534,970,489,671,391,224,195,
313,904,267,540,165,152,373,669,948,872,752,416,399,298,951,613,827,133,525,
514,803,469,880,620,561,713,159,102,951,716,343,610,197,547,877,968,573,361,
010,559,680,929,907,464,062,966,719,332,782,849,624,475,742,678,962,400,030,
137,683,028,443,192,255,389,174,479,523,187,005,219,611,641,709,632,622,022,
154,901,916,046,441,030,514,542,108,764,292,075,353,644,372,562,092,695,437,
545,147,558,334,520,903,737,228,695,261,059,217,982,390,562,194,017,904,939,
531,187,085,942,894,523,619,601,774,716,169,034,027,769,279,798,309,965,988,
641,895,148,547,609,001,200,820,477,705,099,948,411,829,968,893,346,846,505,
799,759,858,418,446,486,093,490,425,544,197,378,914,340,420,559,082,737,941,
199,894,558,000,283,422,157,836,121,750,276,178,140,083,076,690,648,028,115,
107,478,071,585,742,867,946,309,057,736,600,552,425,838,168,779,834,732,298,
266,303,435,626,532,406,903,330,443,261,609,496,086,813,488,593,977,848,040,
333,828,182,186,120,775,812,227,487,236,961,345,290,116,591,033,236,000,731,
836,593,814,112,576,242,660,366,676,967,731,476,270,158,204,382,018,624,691,
084,537,724,172,338,243,827,985,584,253,593,924,008,998,755,780,067,343,253,
731,476,740,615,073,026,938,131,079,802,680,917,844,112,678,379,258,146,687,
930,986,615,507,580,934,120,574,017,669,499,896,780,157,650,262,719,858,147,
114,989,153,318,583,866,566,827,745,738,714,698,253,757,207,833,268,361,982,
021,169,962,837,396,492,426,783,998,801,267,569,579,087,551,702,615,037,265,
980,246,028,503,450,057,302,931,062,061,387,737,141,123,951,006,321,923,619,
235,184,418,696,948,899,182,397,467,829,432,000,315,165,601,436,411,652,021,
550,075,200,613,594,544,151,419,492,111,142,299,060,188,328,347,104,875,770,
496,579,132,509,450,401,121,541,811,171,313,359,191,823,643,270,254,087,287,
899,617,583,959,015,389,770,914,987,815,180,556,950,250,290,200,968,937,434,
863,554,518,729,399,442,584,491,909,311,369,502,891,577,910,644,732,475,582,
539,408,428,946,333,794,690,615,034,626,707,394,102,859,512,660,433,533,340,
558,117,484,768,059,542,624,832,672,104,994,936,200,439,864,673,583,668,920,
455,771,122,916,971,097,868,612,273,327,010,042,810,671,635,393,930,701,773,
343,840,469,033,876,726,201,567,191,106,991,073,893,694,745,740,166,265,856,
144,784,749,020,558,371,374,623,144,325,530,926,260,821,992,725,151,123,500,
521,292,633,483,652,285,882,491,584,809,866,356,263,625,781,412,815,726,421,
493,005,841,398,707,784,249,056,425,686,148,850,130,439,402,837,352,059,646,
374,688,365,142,467,972,802,201,465,153,992,512,348,570,829,173,143,631,108,
823,964,189,090,866,893,617,048,084,407,201,379,607,254,294,094,677,125,729,
821,425,875,490,296,949,346,733,756,796,177,117,198,588,906,135,588,795,062,
342,981,277,559,485,778,403,121,919,427,393,053,367,582,323,380,571,339,463,
765,398,917,146,289,688,113,996,827,851,979,342,081,433,739,777,665,152,029,
371,601,553,336,451,164,349,658,684,946,375,039,038,490,711,187,267,544,873,
603,744,351,164,635,833,299,576,879,090,253,360,584,294,447,304,652,557,532,
981,502,751,403,593,407,757,006,557,880,040,986,914,619,440,192,264,386,654,
228,165,787,111,473,835,837,577,653,878,673,840,264,127,217,557,298,451,940,
637,725,629,098,438,324,573,236,208,867,941,093,013,205,114,137,161,931,909,
301,988,400,367,359,963,155,381,076,743,683,542,385,774,897,501,273,147,068,
001,808,948,926,939,162,273,822,229,880,582,481,042,997,678,845,102,986,295,
701,746,067,953,944,002,190,025,222,153,895,332,975,736,109,532,085,362,027,
933,785,863,085,362,625,073,476,081,706,967,434,971,470,956,417,792,651,813,
457,624,491,525,999,645,623,486,982,657,697,584,614,673,631,970,871,935,470,
155,887,754,216,008,668,129,207,392,097,205,560,183,566,697,905,628,808,702,
353,667,956,004,014,092,786,455,622,387,480,152,506,745,897,717,425,172,429,
036,257,164,237,687,747,531,768,123,851,688,321,590,095,472,893,311,033,226,
195,011,737,489,667,017,016,113,335,082,928,747,993,744,777,886,539,330,107,
483,188,483,829,180,377,404,871,391,550,192,199,079,470,072,448,072,048,605,
115,133,420,065,902,291,577,408,947,880,462,202,524,128,967,491,600,727,480,
239,355,045,871,912,449,687,479,975,456,680,984,529,141,848,160,939,604,966,
801,078,796,755,296,023,481,283,895,703,838,618,110,736,845,818,991,449,257,
991,057,744,490,250,849,119,262,605,459,427,158,101,800,545,498,082,051,639,
922,906,444,972,210,915,357,640,293,113,609,172,302,594,550,204,859,003,275,
784,239,175,443,000,126,817,211,815,186,221,252,396,986,473,845,775,848,389,
171,863,338,325,006,948,641,342,472,469,643,036,369,148,074,430,852,629,200,
968,326,282,595,081,121,998,243,085,142,015,544,683,484,670,879,513,322,649,
914,902,259,925,981,168,229,150,631,006,835,648,682,960,797,767,871,687,083,
329,684,258,894,497,475,647,750,091,382,223,264,368,053,515,386,819,560,333,
286,798,040,747,130,731,313,109,000,658,536,628,110,846,282,947,261,989,564,
552,489,276,400,790,016,656,176,231,638,740,351,037,571,480,436,103,557,694,
118,369,076,427,434,449,086,839,674,224,494,990,108,988,356,170,907,346,261,
302,255,883,705,484,521,559,516,111,918,749,752,317,327,956,140,307,628,809,
260,611,847,240,155,373,321,291,569,915,110,960,974,203,623,653,718,027,768,
019,272,476,923,774,594,913,987,192,352,193,509,051,544,991,790,765,575,764,
507,792,392,383,071,423,028,360,966,275,514,366,559,337,710,511,485,836,340,
080,345,843,250,487,986,785,661,243,234,917,922,198,703,457,979,827,815,307,
000,412,478,512,678,594,758,414,732,426,908,802,458,076,123,179,056,898,454,
645,869,940,036,174,450,135,401,611,762,302,241,283,314,982,049,347,679,670,
813,436,396,315,488,339,403,110,344,303,954,298,566,972,875,986,600,588,527,
490,170,953,585,352,048,258,997,245,067,336,642,066,386,610,192,872,488,458,
693,405,410,245,783,105,662,812,503,192,733,246,211,945,460,651,462,878,553,
107,559,343,041,315,427,495,456,762,860,072,753,842,890,358,628,442,000,815,
438,103,426,514,585,134,719,947,309,610,428,022,999,722,342,918,512,531,267,
096,373,056,600,340,128,209,673,895,000,031,661,644,957,770,862,763,077,420,
159,882,053,173,988,963,799,032,746,698,131,280,192,854,274,161,496,634,030,
933,796,310,630,619,366,837,767,607,237,040,107,698,867,994,202,478,191,730,
931,178,518,361,127,773,125,803,238,925,638,209,676,873,703,761,316,903,941,
823,359,634,057,195,488,607,629,138,892,401,882,726,657,555,483,252,476,327,
317,480,677,035,835,090,250,856,834,237,154,437,992,268,434,852,482,926,540,
396,096,727,431,490,267,813,600,413,143,720,469,172,952,849,583,904,966,229,
398,472,087,821,298,186,658,974,463,315,104,230,617,020,724,203,157,163,120,
783,148,453,335,013,706,964,648,072,106,837,067,957,010,787,104,725,539,221,
242,001,143,162,561,038,857,279,916,693,765,055,523,932,722,305,952,957,804,
389,097,376,029,361,856,670,110,836,967,139,457,361,690,388,812,256,385,945,
805,130,557,525,151,482,755,999,957,493,277,615,233,583,126,520,212,828,132,
470,407,323,550,254,059,026,571,644,733,263,598,876,279,908,927,376,262,815,
099,816,716,064,256,686,619,218,341,009,218,867,093,037,508,787,296,500,143,
421,106,285,373,936,790,031,073,697,903,138,428,196,995,649,789,988,627,193,
021,991,108,336,397,519,346,470,711,814,179,866,372,994,728,177,300,585,394,
586,620,801,177,114,741,015,955,056,056,037,459,359,844,918,752,727,469,990,
089,835,184,244,558,176,207,665,624,606,827,648,498,226,722,070,475,358,951,
702,994,305,318,906,045,402,289,157,257,295,281,922,205,229,703,817,640,961,
814,562,780,389,077,846,640,845,009,626,508,349,721,205,540,716,871,190,022,
217,438,134,214,761,998,938,542,355,805,636,800,473,660,154,075,770,427,922,
685,181,306,295,587,204,102,969,948,844,891,427,868,934,977,635,718,429,674,
802,350,636,315,800,899,489,806,816,358,747,493,892,593,960,141,848,300,159,
183,032,779,405,923,848,176,228,083,962,993,944,767,457,816,202,188,285,777,
160,814,658,244,105,205,543,250,804,746,494,128,300,231,976,639,578,023,344,
545,728,213,464,371,359,804,871,108,779,920,676,554,417,303,321,113,268,547,
057,790,051,057,963,338,826,799,687,322,478,778,302,903,598,076,491,834,554,
048,289,760,487,833,609,080,851,666,427,680,620,374,902,215,645,549,534,485,
331,503,958,479,591,824,183,958,920,329,291,848,529,178,518,698,082,061,089,
446,371,885,650,991,672,723,696,818,035,908,573,250,091,509,264,881,163,313,
777,476,116,692,228,565,550,445,561,908,689,827,551,412,343,439,078,364,928,
699,023,202,742,393,240,415,152,094,071,432,316,037,156,913,825,668,717,797,
518,744,665,917,887,354,848,339,537,350,580,660,976,520,344,340,946,524,074,
799,511,893,672,785,795,605,665,773,946,747,885,182,893,572,381,489,837,534,
289,320,358,673,920,528,716,575,566,202,393,442,227,926,394,321,525,142,566,
471,678,064,031,815,834,351,157,826,072,518,549,547,171,866,198,777,810,835,
546,351,509,833,787,659,600,444,520,015,689,729,897,426,309,272,042,091,014,
973,614,498,107,265,004,435,643,117,379,901,169,019,574,379,241,317,637,198,
076,695,894,172,631,499,482,369,330,608,705,895,159,334,078,120,668,315,407,
721,176,945,673,087,397,245,612,036,299,889,903,181,441,283,509,525,924,868,
876,273,276,380,818,296,786,303,303,284,525,465,003,335,809,952,137,267,779,
289,247,348,635,015,683,786,651,611,210,391,713,987,307,498,748,583,453,639,
032,287,346,744,320,503,746,650,305,182,445,798,121,164,901,541,871,471,607,
064,075,261,089,398,514,592,034,935,208,073,585,730,448,033,554,982,853,597,
669,877,665,640,882,741,115,743,302,735,039,121,012,701,126,246,210,079,485,
600,915,532,436,107,120,071,522,513,009,956,198,092,749,046,968,033,623,176,
237,586,843,944,089,865,132,684,219,476,981,185,008,155,425,636,784,303,325,
845,891,311,081,614,946,681,451,263,756,862,839,749,526,901,758,689,536,610,
327,944,084,044,788,371,585,096,853,291,868,287,390,175,550,576,422,568,844,
640,681,026,171,933,561,214,624,179,843,488,309,515,530,383,891,324,094,050,
178,018,653,640,728,266,971,005,458,406,901,585,062,955,812,172,160,857,319,
012,957,783,812,713,058,237,048,353,346,724,242,379,464,919,389,270,068,740,
272,867,406,665,040,572,726,287,790,357,508,671,871,100,313,070,908,581,883,
794,183,986,090,834,421,008,169,761,340,424,821,336,747,882,923,573,377,144,
285,170,377,833,940,610,590,325,082,908,569,557,193,615,504,604,616,841,389,
687,427,335,850,697,326,701,198,964,011,531,518,963,877,052,499,583,570,880,
706,144,896,464,542,529,818,985,589,209,107,988,889,807,714,437,815,926,558,
440,552,956,130,903,072,646,529,539,365,441,374,348,551,995,943,589,347,326,
299,419,575,475,009,979,586,485,382,735,218,674,454,770,150,593,786,452,937,
500,502,042,227,266,972,606,829,455,831,936,400,457,793,061,803,887,080,857,
983,339,046,677,333,267,562,365,910,268,260,747,821,052,603,864,426,784,458,
081,891,805,495,621,344,672,877,710,300,606,209,401,960,360,081,404,899,224,
491,537,726,436,076,336,685,024,179,149,901,691,302,736,659,065,108,781,230,
210,835,387,406,885,107,565,009,004,952,502,636,731,697,361,263,948,070,165,
500,814,183,671,585,850,413,070,808,519,475,184,076,120,652,825,182,817,109,
378,970,017,039,121,977,121,438,566,877,646,861,371,519,904,394,287,124,707,
406,452,423,969,065,485,394,704,251,120,351,497,841,816,625,913,745,197,531,
309,081,460,464,483,847,143,066,046,639,601,715,303,993,208,208,339,397,243,
841,603,883,564,845,255,586,196,559,691,734,854,361,899,799,245,486,885,167,
690,610,380,948,583,742,307,087,299,724,029,955,139,365,223,456,810,729,788,
604,576,091,670,122,348,376,761,848,809,597,362,518,868,287,806,920,692,557,
258,377,606,158,923,189,033,226,730,902,520,422,085,603,114,235,961,996,190,
928,165,031,057,340,897,632,642,207,664,187,770,236,497,718,708,573,311,718,
121,195,927,657,496,359,376,377,980,247,584,324,922,850,403,858,631,243,706,
157,904,499,745,152,281,437,750,509,513,653,704,003,412,959,416,873,601,262,
704,188,764,023,390,744,423,637,001,238,064,638,694,208,678,305,706,605,056,
939,310,933,466,442,540,825,031,978,520,892,741,772,356,846,862,559,140,205,
184,682,097,835,745,667,146,056,673,080,976,213,296,994,209,980,976,141,756,
292,462,185,800,707,406,914,764,417,004,479,081,217,561,565,398,741,206,958,
925,370,231,480,298,071,202,560,190,836,901,543,277,196,586,265,855,462,196,
187,964,540,196,689,307,170,821,707,053,737,669,487,953,562,808,232,103,300,
709,284,262,015,121,089,472,751,437,607,548,587,095,824,301,528,293,358,256,
553,542,179,900,995,043,619,883,996,897,445,011,593,061,567,605,849,668,707,
238,293,698,313,759,225,817,175,978,060,594,314,437,536,703,496,830,962,590,
847,676,542,732,715,651,279,859,687,262,805,701,290,045,483,990,483,345,586,
259,296,479,006,139,996,927,754,414,631,447,413,282,510,769,715,052,357,758,
756,199,655,401,891,923,589,150,427,098,825,132,536,898,159,637,001,464,801,
806,764,279,101,225,147,157,115,484,436,159,125,271,560,939,482,180,851,665,
936,462,470,762,530,258,863,336,130,169,180,200,313,034,951,915,588,742,346,
852,412,307,933,753,234,566,664,863,332,331,351,860,018,378,928,898,760,755,
190,671,613,494,033,461,076,966,218,783,300,493,887,216,803,106,455,724,202,
452,522,983,745,957,632,521,286,253,884,383,127,405,443,091,361,092,642,456,
757,404,236,192,522,983,752,841,702,484,470,954,782,686,157,642,113,174,069,
257,289,757,937,387,035,555,256,441,451,371,942,214,503,123,171,643,579,155,
674,430,696,044,551,955,431,771,124,669,740,471,863,130,329,848,026,404,575,
776,117,535,806,267,177,706,701,718,854,155,185,573,547,051,658,352,670,021,
722,134,851,553,087,117,913,931,518,914,157,273,641,465,382,018,617,611,314,
812,290,841,891,981,355,401,352,118,348,042,333,903,092,135,507,435,144,590,
126,400,793,599,457,630,752,330,019,830,043,150,994,733,880,466,491,013,609,
073,583,874,008,234,427,105,058,389,997,487,563,142,607,733,893,309,560,452,
643,104,566,386,159,962,386,238,559,592,354,818,943,092,084,706,354,561,990,
750,080,512,187,222,497,157,820,706,611,921,473,970,385,217,410,397,315,376,
841,620,502,203,513,205,167,812,890,848,702,896,412,356,855,637,383,858,091,
783,012,772,439,152,580,890,544,896,834,291,470,076,512,688,501,423,553,273,
589,589,393,607,141,103,012,447,068,545,875,592,900,302,408,169,993,248,829,
868,083,173,456,361,268,303,680,851,942,244,020,647,084,713,170,958,197,552,
918,723,138,766,843,649,724,541,936,540,788,568,934,384,739,374,203,785,330,
286,066,872,328,751,272,076,149,965,871,591,492,642,050,738,466,270,130,508,
929,858,660,113,354,375,030,102,010,830,023,233,044,955,400,546,896,421,134,
804,500,671,561,910,102,402,651,526,193,921,239,631,919,247,003,663,443,697,
742,728,412,699,957,238,960,183,177,968,499,244,767,971,677,218,391,099,686,
351,577,926,027,621,830,409,697,229,436,118,717,616,318,585,618,510,780,115,
565,555,321,784,774,001,784,334,858,360,103,401,443,188,699,359,384,050,572,
926,054,223,868,521,997,347,354,492,251,071,435,414,386,271,242,869,477,653,
723,780,586,091,927,078,698,594,176,964,541,677,456,133,258,045,739,640,038,
258,737,355,594,508,829,330,341,604,829,079,214,256,189,447,431,244,445,507,
308,336,178,296,056,952,694,842,208,023,472,479,762,414,054,047,671,038,032,
397,211,762,789,694,049,762,435,423,151,709,470,733,653,976,039,478,233,669,
322,988,307,721,753,970,763,058,244,388,212,621,867,764,988,774,218,643,749,
491,732,574,219,520,614,856,870,551,727,470,426,840,437,973,636,616,691,737,
487,007,313,376,025,126,139,318,754,857,620,556,928,892,198,548,837,526,769,
073,316,764,605,927,344,553,558,016,760,617,378,124,395,326,978,145,166,027,
143,262,656,415,716,736,107,404,046,041,303,451,340,040,873,293,049,071,475,
849,179,091,750,525,893,743,718,886,936,525,132,074,622,031,659,028,913,431,
905,664,769,685,562,513,597,344,787,786,342,662,133,124,684,830,509,463,187,
933,160,768,191,383,843,007,982,742,287,881,489,584,015,307,556,015,706,881,
960,646,801,953,299,087,442,326,332,849,400,272,371,540,139,627,362,810,443,
748,329,589,731,854,573,803,205,824,986,358,717,892,441,392,570,020,375,491,
634,470,043,659,801,234,151,648,110,480,172,780,137,636,789,932,169,158,336,
227,252,522,023,030,564,220,257,287,858,249,466,847,575,645,508,816,566,347,
825,567,177,891,693,935,050,348,351,889,933,790,252,898,047,164,862,871,251,
286,869,631,258,159,045,287,647,539,568,755,322,258,901,095,226,565,428,692,
676,442,865,398,973,656,539,287,001,186,509,299,177,887,455,532,642,015,623,
000,735,541,179,653,393,935,768,257,015,298,311,241,818,754,198,856,501,522,
407,878,509,351,334,935,879,794,142,536,419,702,827,959,271,576,211,053,774,
761,011,623,096,588,807,596,708,882,840,939,495,409,336,116,675,526,988,536,
938,986,581,046,974,104,147,525,902,231,085,772,433,760,042,157,702,946,718,
041,340,733,386,921,646,689,982,951,424,827,932,156,251,685,300,654,271,705,
517,271,370,653,713,832,934,480,467,770,688,443,429,355,195,849,851,034,662,
082,238,718,014,137,681,968,508,880,129,930,643,680,085,545,575,088,204,990,
490,572,876,379,866,167,309,325,678,631,378,072,328,200,597,106,762,245,887,
464,653,065,081,254,936,469,437,031,019,183,167,299,663,875,569,732,447,069,
046,740,118,077,923,377,365,175,180,539,786,308,819,546,620,693,148,374,903,
307,225,155,333,041,605,257,205,820,143,284,072,522,384,821,247,840,293,861,
519,336,561,191,221,470,506,931,713,204,425,178,530,751,974,690,897,472,229,
793,929,529,466,255,407,618,321,931,817,224,945,534,753,976,837,436,470,121,
862,566,168,799,977,077,047,187,098,759,580,539,968,723,270,377,870,035,868,
602,363,203,560,776,150,232,323,891,779,812,406,403,226,038,963,624,352,456,
617,393,466,398,544,843,053,742,889,138,283,907,800,238,281,536,699,347,716,
229,302,921,351,223,948,078,756,275,475,894,332,288,514,486,981,976,868,088,
792,255,663,473,343,777,342,355,233,011,352,262,829,415,805,976,559,999,520,
302,639,559,643,716,695,829,474,773,592,258,589,147,686,349,253,284,433,969,
353,967,466,536,097,683,494,171,740,533,409,841,821,667,628,469,608,855,479,
165,031,331,508,161,655,169,703,926,565,772,446,818,643,540,432,826,608,960,
994,357,576,468,272,793,777,332,639,165,444,184,981,064,684,077,654,283,410,
417,183,244,185,790,582,287,440,685,772,355,137,075,208,355,022,435,074,154,
672,041,030,756,060,002,620,284,421,688,851,592,626,883,118,769,514,629,986,
896,221,084,412,186,661,146,787,864,916,977,796,313,273,189,134,115,780,624,
909,031,793,545,115,802,514,579,633,485,620,970,380,206,186,130,208,144,261,
783,054,245,626,737,072,869,094,659,050,786,649,800,030,596,937,835,567,661,
711,559,958,504,323,446,310,855,593,733,345,644,681,240,311,975,586,949,112,
622,084,343,781,084,783,400,140,118,461,099,259,307,546,440,395,212,223,674,
436,578,799,301,395,727,642,009,802,417,057,799,425,879,448,408,209,073,933,
380,220,387,584,377,799,284,695,002,531,428,355,986,760,372,537,697,382,744,
387,688,408,241,200,239,481,209,939,797,371,490,289,650,673,806,797,126,701,
819,714,508,325,151,447,195,393,747,709,770,956,911,118,533,061,073,500,764,
385,398,763,849,305,093,147,326,413,566,930,182,820,994,833,389,508,319,024,
667,380,969,001,830,050,005,893,102,960,500,875,674,598,134,126,338,397,684,
502,166,242,773,574,685,787,767,827,618,992,854,363,609,683,705,522,826,379,
945,296,096,071,059,540,972,850,866,013,804,146,883,136,395,840,751,765,880,
454,806,721,166,538,969,766,106,181,071,738,913,310,213,358,406,492,746,146,
754,163,253,939,998,964,811,699,155,919,100,501,142,236,893,820,458,032,610,
763,626,719,496,623,090,415,741,940,458,946,205,871,157,337,365,340,919,302,
176,440,071,671,531,756,035,280,723,641,459,007,866,725,576,151,576,725,884,
990,322,777,398,468,124,526,281,324,000,913,285,291,500,612,510,921,170,195,
999,818,867,804,280,090,515,497,432,541,949,298,247,634,868,154,740,666,087,
849,870,046,244,761,725,978,128,578,543,790,355,999,834,764,581,627,813,191,
402,338,184,792,043,485,528,123,281,946,136,991,714,676,560,375,271,275,531,
251,940,564,529,290,603,157,190,047,008,684,341,615,516,574,672,067,139,546,
971,572,629,840,206,870,971,558,396,306,196,558,053,918,869,845,356,057,594,
977,314,532,079,480,392,092,664,112,911,241,119,908,037,721,967,814,515,381,
196,423,751,332,734,658,909,723,941,141,238,925,091,288,101,476,957,559,859,
646,420,343,464,189,972,572,429,150,827,724,294,682,163,907,443,746,219,910,
340,064,420,184,267,213,964,928,909,570,807,252,408,733,300,664,858,838,580,
522,173,112,532,822,997,713,826,536,445,440,268,158,990,388,326,394,468,059,
575,946,922,469,306,188,391,391,755,227,288,215,582,617,430,047,758,630,291,
194,395,218,413,134,475,970,755,682,475,933,834,497,664,639,541,439,897,567,
870,977,910,283,591,778,182,369,633,183,281,766,729,181,399,570,303,643,785,
211,940,672,555,168,951,169,117,645,236,730,245,127,048,369,784,915,375,420,
334,338,496,900,578,134,290,272,386,411,719,998,361,798,740,052,217,862,904,
663,918,312,506,712,523,848,142,678,040,672,710,643,450,598,917,265,614,680,
861,268,333,199,370,753,705,706,965,769,501,513,556,042,341,326,366,276,463,
560,474,188,978,362,316,990,126,872,209,656,138,799,629,549,016,793,625,055,
940,419,341,852,078,734,035,241,682,707,615,147,667,550,786,630,721,426,520,
305,752,794,593,450,219,082,945,473,816,918,129,893,362,214,154,669,200,604,
052,632,643,906,100,735,053,494,591,705,895,901,580,685,472,985,067,493,499,
006,332,624,635,193,376,484,249,819,428,925,853,750,141,148,690,453,901,685,
033,550,605,923,571,985,852,293,114,965,127,533,725,957,417,842,929,865,200,
475,659,520,914,512,808,536,735,571,264,666,956,250,343,799,950,832,528,170,
745,112,154,450,974,998,079,563,847,254,324,280,428,334,798,650,877,253,847,
930,932,133,373,155,666,805,434,749,647,151,970,138,272,359,520,686,668,423,
809,796,603,720,351,845,632,072,996,048,339,965,361,711,299,259,651,684,515,
310,399,372,421,451,503,100,293,186,337,399,780,903,145,393,959,334,731,159,
016,502,513,482,660,901,182,623,328,943,680,721,542,480,697,241,315,327,748,
921,866,883,837,707,488,452,873,752,956,695,870,214,274,411,911,727,935,058,
239,741,421,825,946,058,257,828,359,001,451,413,529,042,728,634,341,256,135,
252,886,714,219,212,910,864,207,107,993,186,474,723,286,892,218,650,937,628,
470,076,712,303,515,776,634,768,792,118,657,607,565,724,452,002,746,671,406,
101,676,972,022,533,973,613,417,438,843,839,153,520,703,328,376,361,138,490,
528,745,783,698,384,190,569,704,603,955,234,359,291,128,659,532,832,481,430,
083,810,389,538,332,651,632,267,830,081,542,029,677,512,014,571,400,047,750,
148,864,722,225,289,134,715,662,712,374,191,583,002,279,569,315,209,726,948,
963,207,926,479,545,289,280,427,970,575,074,215,731,706,892,067,598,083,152,
935,101,595,725,847,887,807,829,121,357,372,413,668,821,344,052,884,859,138,
027,657,290,242,563,759,112,259,659,990,916,834,302,379,280,691,331,143,187,
944,855,967,405,791,592,174,018,026,829,963,047,399,130,580,270,803,436,545,
570,962,082,524,213,124,052,799,611,173,115,493,899,288,278,778,246,668,504,
945,523,021,500,411,298,724,831,657,903,766,375,003,535,244,090,479,156,945,
702,613,630,960,608,025,220,956,098,258,063,626,255,163,282,696,679,721,682,
156,852,943,066,950,888,419,533,321,984,054,663,343,880,744,956,293,121,236,
220,562,860,430,792,195,613,444,042,764,633,002,205,169,995,556,777,771,816,
295,419,980,020,014,942,835,047,757,303,106,767,820,621,317,787,596,560,580,
036,126,494,355,809,882,528,988,668,926,685,228,547,825,524,028,659,738,361,
517,164,579,766,065,778,942,376,879,472,443,583,861,385,218,363,948,278,038,
469,427,828,324,896,834,932,066,312,479,691,120,875,183,324,672,177,292,829,
448,311,473,221,133,601,797,206,774,367,751,433,872,671,282,744,797,037,023,
144,679,375,373,254,768,287,626,732,793,619,415,486,220,016,686,273,310,738,
696,458,657,956,488,925,307,735,603,203,937,762,683,553,154,502,233,905,754,
269,123,776,567,191,869,756,418,087,708,639,484,152,692,604,842,146,147,418,
208,112,509,498,147,014,622,805,191,744,631,753,409,460,781,280,154,363,262,
937,670,896,908,357,821,229,087,765,931,258,675,134,105,237,937,174,167,887,
623,546,602,190,563,195,895,871,392,865,588,278,873,956,721,143,685,789,215,
718,242,679,030,939,234,277,400,850,066,725,740,412,101,886,130,701,500,700,
162,156,198,915,270,095,131,746,896,538,931,490,839,247,369,949,749,733,790,
372,303,289,929,229,360,668,455,308,269,767,003,424,841,118,520,750,298,865,
009,416,724,144,440,131,945,811,029,727,338,159,952,499,215,784,647,455,216,
084,680,581,247,750,783,916,751,145,034,998,625,508,672,703,005,262,873,300,
778,871,512,811,513,716,891,859,150,004,461,093,779,961,971,551,623,317,856,
828,177,964,820,132,297,641,554,176,262,609,841,359,158,810,971,109,962,395,
766,470,700,122,929,022,590,536,808,009,473,522,594,869,635,049,098,935,168,
508,504,681,746,823,584,260,460,261,203,225,319,343,974,333,374,775,987,147,
159,472,018,934,260,472,759,345,523,713,454,092,537,971,486,914,973,584,223,
940,839,817,434,663,401,035,778,991,001,502,606,985,047,095,468,352,758,807,
794,241,029,444,793,900,610,678,564,986,554,032,612,815,324,076,817,440,139,
367,658,669,295,952,831,504,424,362,929,272,506,543,495,869,823,840,259,682,
422,319,733,600,689,645,249,125,687,880,391,865,306,605,212,684,755,424,426,
350,311,725,532,802,548,802,886,603,311,306,632,969,568,837,967,517,636,314,
783,335,320,123,042,238,802,038,841,164,176,478,047,055,821,386,935,074,955,
581,550,730,236,000,401,587,318,464,649,366,888,883,909,307,016,013,243,236,
069,049,627,477,546,093,843,972,948,357,274,114,744,807,013,042,441,045,322,
966,250,153,500,635,580,994,232,770,449,564,655,879,230,621,928,471,599,432,
886,241,406,435,288,614,915,501,498,920,379,032,598,755,648,060,060,014,493,
558,483,459,715,265,260,508,743,035,354,170,840,874,364,014,597,815,688,899,
601,283,227,342,663,971,977,223,134,720,944,816,480,831,929,971,385,786,043,
461,179,454,890,309,112,199,824,061,404,068,357,193,218,685,289,187,136,095,
931,656,698,970,491,314,752,860,597,682,366,355,356,516,475,568,941,811,200,
409,482,459,076,372,278,051,213,085,415,398,233,021,539,879,998,959,861,797,
857,028,208,830,464,585,040,546,694,684,786,280,973,667,460,104,488,420,140,
919,619,641,983,240,555,965,982,653,894,150,440,718,020,183,640,452,063,562,
818,095,204,534,327,201,161,662,882,173,544,400,442,286,450,441,930,388,595,
308,390,365,190,885,907,138,251,544,773,895,766,489,022,679,060,417,894,143,
461,695,740,537,423,859,398,850,240,193,594,009,509,869,491,987,113,612,788,
853,093,782,633,818,356,153,212,286,154,072,108,247,558,012,607,909,113,164,
197,583,058,544,384,397,560,418,696,154,319,009,933,256,699,362,966,906,270,
724,390,969,310,888,934,182,384,533,568,680,277,674,578,171,860,622,240,232,
917,091,007,919,050,044,528,179,865,097,611,418,129,214,861,827,168,708,350,
898,486,286,836,158,409,146,118,996,625,856,804,341,571,425,738,737,635,655,
205,561,950,103,866,489,024,032,803,210,555,166,917,270,016,323,335,400,474,
117,810,127,418,195,914,018,915,664,680,222,018,270,522,315,345,186,228,860,
681,877,705,372,020,937,947,157,493,549,742,260,865,601,052,884,807,125,390,
935,474,040,111,898,217,472,505,872,344,189,663,489,953,729,567,313,562,681,
103,609,571,985,928,923,029,637,092,492,352,721,904,328,894,641,482,756,310,
173,957,589,997,404,917,543,845,487,557,878,684,768,861,601,886,304,294,821,
143,561,777,680,234,561,646,106,364,219,454,273,371,827,451,641,075,483,197,
259,842,307,331,602,068,960,219,945,568,327,971,113,511,542,865,351,981,636,
812,501,954,930,935,644,791,693,071,047,386,689,549,666,771,752,688,472,335,
912,006,088,959,659,190,897,043,524,082,606,346,771,233,727,763,748,685,166,
682,647,348,267,032,983,267,141,380,149,536,747,980,128,416,532,030,487,731,
975,689,574,841,708,925,944,083,531,213,393,700,746,654,262,951,053,536,997,
780,415,921,889,756,619,716,666,971,985,093,205,171,131,374,314,605,188,982,
325,372,776,447,750,691,350,083,263,865,379,215,341,967,007,257,739,437,987,
596,524,233,571,322,207,673,298,719,933,158,745,363,994,794,140,187,383,322,
861,757,610,470,457,859,743,965,771,026,204,756,480,549,620,544,949,112,704,
538,428,173,062,890,033,870,366,252,963,770,489,908,983,868,521,212,627,132,
576,504,270,520,973,700,288,657,704,895,133,423,342,980,376,472,457,378,459,
172,611,350,229,147,062,984,357,827,422,480,720,517,091,446,509,241,014,990,
548,767,426,696,004,989,154,315,417,890,381,410,726,369,636,931,552,405,898,
468,663,133,554,326,094,710,224,254,182,334,592,990,020,035,727,914,752,523,
970,633,652,527,778,216,116,986,126,901,455,233,145,884,078,850,134,116,493,
847,744,357,414,610,874,180,010,011,420,503,385,118,084,944,687,702,627,719,
389,745,699,274,353,255,122,027,521,852,888,501,278,511,619,609,207,814,721,
614,788,293,957,069,521,118,651,169,816,858,887,799,770,661,109,082,708,743,
501,052,498,890,472,892,792,115,260,466,679,938,467,432,636,366,136,414,401,
353,345,478,724,492,984,243,638,690,242,791,770,048,328,255,610,532,548,539,
918,317,678,517,157,949,494,298,091,677,899,945,078,129,695,121,459,700,251,
714,621,215,126,203,054,404,350,805,080,153,991,823,870,089,951,813,267,048,
885,863,496,957,250,660,707,099,607,766,205,221,068,088,850,710,350,560,176,
725,486,892,010,287,637,343,125,653,691,324,451,247,330,881,595,217,626,358,
847,946,150,179,965,168,857,551,805,939,458,825,748,339,810,914,481,701,030,
677,191,451,329,426,826,644,273,235,144,058,586,984,439,997,642,202,975,080,
963,516,173,186,994,388,675,094,243,233,810,493,262,155,983,809,438,056,513,
163,312,273,188,823,540,929,374,057,422,258,479,149,292,762,096,223,209,333,
783,676,417,159,036,816,003,009,186,978,523,139,588,387,023,858,992,707,899,
678,493,216,502,570,540,636,949,965,201,453,873,222,752,561,324,098,423,722,
820,538,677,985,995,062,096,675,185,427,586,547,603,715,272,334,742,521,124,
489,350,852,512,836,205,031,584,404,365,060,047,437,960,107,588,871,592,465,
400,134,755,245,623,962,452,121,899,908,842,062,001,544,042,905,089,636,352,
802,508,112,053,400,289,521,086,571,124,683,257,800,464,605,292,546,268,323,
293,019,021,257,066,507,976,930,769,566,439,531,154,405,371,805,384,889,595,
533,868,971,951,199,960,839,779,821,771,471,743,249,419,501,012,254,793,713,
803,792,562,084,804,845,584,526,028,221,371,527,030,469,976,118,114,803,788,
228,789,144,130,883,449,672,273,400,547,807,135,428,197,730,223,139,671,090,
052,287,371,937,385,225,896,472,690,218,503,747,614,018,117,440,054,522,924,
336,338,440,456,123,079,815,751,993,929,824,118,011,725,690,543,958,171,503,
299,389,661,423,990,453,681,073,054,591,459,111,807,173,952,372,598,366,566,
776,189,715,198,075,132,355,207,102,890,158,618,066,068,354,806,191,637,467,
334,283,840,338,102,889,057,761,834,108,672,713,976,685,631,830,044,564,362,
246,449,157,565,229,119,726,883,988,697,227,801,424,145,044,796,720,431,990,
470,930,652,991,781,990,426,931,553,792,577,046,465,482,891,527,292,896,377,
712,679,878,517,336,988,722,369,759,794,555,530,799,432,157,567,581,078,659,
441,317,807,276,366,498,588,256,468,787,122,033,618,169,435,938,838,697,395,
977,572,114,291,283,792,817,680,398,815,924,862,001,475,302,416,056,628,569,
527,011,881,189,859,870,061,381,751,296,699,581,076,715,195,523,996,089,611,
423,053,636,766,861,438,890,716,034,995,291,384,096,584,873,438,688,127,154,
486,855,927,949,632,666,777,010,191,992,914,896,548,644,164,064,461,750,957,
100,367,427,421,104,856,711,176,194,285,559,428,572,507,151,453,144,288,631,
080,092,001,974,116,290,512,332,614,941,676,852,635,107,323,197,278,017,452,
387,410,926,508,773,724,640,663,785,687,281,742,045,825,922,679,375,126,646,
674,643,261,361,935,307,633,097,706,916,897,247,235,794,456,867,358,466,465,
501,092,557,274,266,664,848,856,549,365,733,142,107,728,979,816,349,725,769,
814,961,035,871,399,704,105,586,334,295,067,438,062,547,029,619,890,902,429,
529,087,176,245,085,218,742,739,377,409,620,891,383,219,095,004,629,078,137,
615,454,837,063,913,782,555,279,856,977,422,599,314,859,037,584,132,241,890,
397,189,493,534,757,267,303,353,894,930,781,538,801,505,325,440,395,002,793,
783,351,820,883,004,699,848,494,184,817,305,511,818,449,014,502,951,985,395,
793,917,999,169,424,220,505,965,942,901,164,527,333,445,196,776,823,859,758,
296,472,216,738,756,648,628,533,703,193,086,439,883,908,423,365,196,626,570,
115,995,222,670,380,526,341,733,900,793,852,283,449,802,268,712,156,154,851,
101,180,190,119,183,308,039,523,302,593,848,926,578,888,629,744,468,629,229,
408,590,685,334,696,591,207,693,647,035,975,391,725,759,262,509,973,722,524,
142,878,134,423,592,299,879,929,036,064,148,538,129,959,311,422,782,370,906,
703,705,662,164,064,226,558,348,305,606,320,617,406,935,232,361,998,954,489,
137,313,813,217,208,231,972,589,675,726,621,673,891,028,771,140,620,903,508,
724,052,052,040,733,102,773,133,225,627,468,753,399,624,035,080,559,370,918,
563,458,536,592,136,073,737,405,423,880,850,305,674,169,366,255,199,001,366,
360,075,161,239,866,978,284,942,193,006,422,652,631,234,463,752,265,121,834,
860,006,726,138,202,479,466,047,480,268,503,025,885,591,723,666,764,664,365,
347,415,377,220,008,910,907,133,259,195,711,172,351,647,840,783,946,021,254,
845,825,389,336,532,944,916,643,194,951,633,752,647,680,042,598,308,657,440,
182,248,277,536,046,179,145,673,785,916,622,625,296,715,208,446,283,293,912,
537,720,471,403,880,046,130,191,423,747,228,894,468,300,787,036,859,379,087,
260,549,774,199,115,765,604,790,573,006,440,980,064,197,001,108,766,616,980,
464,639,762,316,227,838,496,770,671,131,715,192,467,452,759,167,162,322,392,
466,958,306,224,082,372,937,366,194,915,357,745,300,255,554,695,467,283,941,
859,233,065,921,565,954,931,418,429,757,299,920,032,804,309,662,568,467,142,
919,148,364,363,104,371,532,945,736,421,287,676,156,178,725,405,452,705,809,
407,484,824,509,705,004,906,270,995,736,638,174,348,507,966,720,544,888,761,
801,385,840,640,969,836,291,372,664,673,957,366,334,894,400,576,999,306,491,
603,941,374,050,866,653,607,579,916,530,633,202,341,995,290,442,370,451,008,
988,505,823,396,773,228,687,696,247,224,668,612,345,514,794,328,182,236,471,
241,217,532,845,571,163,391,174,026,482,261,959,227,886,965,347,027,213,970,
726,734,094,538,926,822,889,862,469,920,833,954,733,040,231,113,102,375,558,
353,060,787,586,881,861,712,458,800,822,680,528,825,136,186,981,685,483,765,
406,594,558,585,750,111,136,104,957,691,088,833,284,382,961,541,123,052,804,
992,252,223,953,920,230,704,072,082,310,441,336,070,501,095,688,586,525,682,
391,638,309,413,353,043,368,363,032,996,112,447,652,407,120,144,985,500,161,
231,938,719,007,288,461,970,372,528,018,313,706,111,988,068,526,174,921,015,
202,209,543,252,907,053,947,012,169,186,679,379,858,715,549,991,134,668,308,
877,483,970,362,796,299,420,890,999,804,500,030,706,760,145,080,956,314,696,
987,915,078,435,102,319,091,431,078,165,816,032,824,881,638,236,978,972,710,
312,816,139,654,793,155,950,393,119,475,855,714,222,439,378,739,520,769,823,
111,897,001,323,073,701,301,317,480,062,418,916,106,560,839,037,744,470,390,
220,948,995,253,108,534,990,117,479,640,055,778,265,687,954,609,603,474,999,
455,260,213,569,999,649,088,569,144,785,946,436,558,057,401,662,182,998,744,
741,641,520,382,218,808,670,115,988,122,971,012,295,060,741,663,374,478,899,
679,258,996,211,743,107,096,914,960,406,052,580,505,175,161,365,538,480,217,
657,267,683,709,489,034,457,145,412,879,716,117,841,625,816,137,598,390,752,
979,429,469,856,326,117,001,011,761,683,504,702,938,272,928,900,870,485,403,
022,476,318,937,049,803,269,760,866,406,187,262,812,726,115,394,597,936,543,
689,207,970,606,725,379,443,425,738,879,795,103,371,544,449,459,448,978,487,
641,783,225,907,920,079,475,627,462,923,289,151,613,494,342,668,943,874,868,
528,595,346,933,485,733,509,471,191,914,157,216,446,692,168,925,302,153,585,
983,658,105,348,341,564,381,688,953,157,424,860,314,602,214,660,806,635,523,
430,630,475,229,066,706,650,084,126,369,452,391,296,305,735,168,184,913,514,
978,852,797,445,641,766,936,462,158,304,374,855,833,978,176,647,980,812,859,
103,494,064,996,406,626,729,907,981,180,692,588,470,461,272,426,260,301,145,
059,789,254,646,157,993,274,981,044,159,531,762,145,336,977,380,841,238,506,
117,496,789,853,428,716,884,153,117,994,464,528,803,869,316,183,030,452,426,
934,761,826,216,955,199,669,362,526,285,253,816,134,935,436,618,772,311,233,
694,639,458,939,757,114,990,073,217,636,586,655,355,640,147,247,157,712,040,
819,306,280,095,207,151,478,294,826,256,462,271,315,834,199,748,707,374,077,
724,728,852,074,175,491,261,365,154,647,860,753,906,870,901,135,110,277,503,
842,899,913,298,763,781,886,560,573,954,201,397,432,586,723,369,307,344,059,
178,339,154,161,304,039,540,940,074,946,636,709,527,316,496,593,983,386,475,
897,043,085,659,068,657,671,470,448,139,723,430,509,041,044,175,715,522,467,
345,667,417,738,569,048,920,125,213,444,894,122,384,851,142,738,991,544,948,
863,303,502,164,070,976,869,698,473,651,005,917,394,471,104,217,549,572,822,
362,159,497,832,204,173,759,625,846,949,040,062,866,816,804,481,031,366,718,
834,360,566,575,764,975,382,719,774,913,041,644,327,787,008,913,105,735,394,
626,942,326,321,022,700,720,789,388,808,819,107,459,168,070,524,281,892,287,
202,075,604,244,745,888,107,626,351,740,035,309,758,916,931,402,941,329,379,
468,704,066,580,861,329,973,115,567,042,462,399,674,471,812,829,723,328,060,
708,274,470,828,462,655,051,531,002,383,079,251,284,610,610,890,123,078,190,
896,208,764,809,257,441,157,759,685,734,999,830,018,645,532,288,028,750,639,
764,040,926,144,309,663,241,466,733,565,884,142,843,656,055,563,406,874,795,
099,560,630,089,498,953,324,425,411,153,283,110,544,184,856,105,403,999,013,
597,674,331,306,554,973,460,306,341,799,830,473,892,428,573,330,704,651,272,
044,314,299,189,879,177,230,449,108,330,003,040,777,866,042,787,439,218,373,
069,139,655,470,617,508,357,990,536,246,388,580,345,641,960,521,710,970,082,
674,293,548,617,489,258,519,332,179,378,805,326,425,651,638,398,273,754,014,
342,698,060,556,377,232,176,231,699,136,402,184,501,680,615,093,244,475,444,
671,004,984,220,920,890,644,171,007,042,410,552,368,733,981,582,629,734,547,
805,010,348,959,830,409,376,648,763,327,511,857,900,704,401,562,682,453,498,
746,937,164,434,712,797,688,907,121,928,368,674,520,827,524,359,471,539,607,
747,460,063,898,608,046,486,442,890,627,322,544,917,623,104,719,983,979,691,
337,428,395,688,577,935,730,383,012,482,576,234,508,367,013,866,826,067,153,
262,528,733,521,077,192,049,082,784,298,159,152,472,979,286,692,466,256,164,
300,959,758,179,894,781,649,099,136,058,208,423,876,362,167,682,919,647,647,
755,307,081,851,068,821,240,898,300,353,729,297,473,390,534,205,567,424,053,
345,942,232,127,342,865,781,825,058,700,146,109,685,180,276,757,630,123,297,
857,821,939,910,145,221,202,295,859,796,222,488,109,989,468,095,023,515,211,
022,300,875,503,730,539,280,274,841,588,344,670,014,013,598,436,174,771,975,
379,908,515,570,460,125,321,203,506,924,206,486,430,366,874,297,121,960,053,
366,453,762,606,833,128,282,327,773,735,173,563,826,129,700,836,091,224,035,
216,408,835,410,595,531,915,563,477,143,407,837,348,088,545,372,638,799,732,
350,493,067,313,720,530,996,881,119,532,404,939,794,164,944,775,770,051,043,
363,337,595,878,710,975,179,362,475,874,284,621,937,014,708,491,294,701,817,
096,986,600,030,751,149,295,996,483,247,124,769,842,233,299,588,842,527,863,
572,197,480,634,679,058,372,834,857,664,832,122,255,304,121,056,860,708,011,
983,811,187,904,573,307,463,098,537,876,767,016,258,820,227,162,943,941,294,
590,917,218,984,682,561,827,463,839,174,391,958,553,354,963,220,257,611,609,
810,325,558,633,747,039,988,573,568,631,054,905,285,165,762,574,714,383,004,
289,113,321,032,432,671,453,196,241,266,892,081,649,178,545,827,193,219,669,
273,452,958,737,154,625,620,726,564,284,975,987,005,558,014,397,102,736,130,
110,614,511,263,403,380,223,983,758,474,920,471,988,891,527,203,180,411,613,
980,795,989,801,975,241,714,620,589,740,826,691,109,660,890,390,566,111,461,
686,224,747,436,767,383,866,312,283,143,338,348,717,838,895,722,937,752,807,
726,719,998,245,851,033,730,088,033,630,631,256,415,509,009,421,233,718,534,
237,719,961,039,339,191,007,212,184,240,947,389,328,654,844,124,277,594,373,
856,644,777,994,035,029,820,566,547,796,652,969,306,412,544,692,396,668,957,
537,627,929,570,779,790,499,605,773,315,145,838,565,372,220,744,064,623,469,
350,538,995,919,583,550,597,299,132,959,480,886,607,968,489,444,058,615,537,
468,282,899,686,307,809,722,028,020,575,838,925,780,972,498,714,111,864,545,
603,721,512,077,499,455,243,115,157,706,282,370,248,316,066,064,289,830,677,
044,206,552,309,582,898,173,406,336,599,943,110,242,364,020,894,610,035,801,
554,926,607,183,760,519,636,374,341,736,734,750,409,511,996,939,830,038,841,
038,897,422,084,037,829,039,785,868,299,118,866,229,429,442,542,512,002,170,
708,339,631,754,960,620,830,520,234,053,760,722,979,894,055,807,165,609,969,
456,715,570,819,051,014,129,549,920,517,473,832,873,601,635,204,711,365,129,
950,997,125,706,763,155,478,560,970,611,481,369,429,090,176,954,656,713,379,
803,519,277,916,156,932,205,773,830,414,468,463,983,202,055,415,167,706,868,
600,665,672,430,317,780,187,107,902,232,522,526,319,659,432,373,046,211,233,
598,260,015,695,585,706,050,446,900,814,450,248,320,336,480,570,970,223,614,
155,471,620,961,773,243,650,170,355,852,014,434,905,504,958,535,293,169,847,
030,705,455,170,796,123,921,524,956,227,155,974,309,743,230,301,083,710,750,
332,279,262,082,816,923,308,481,711,597,827,111,397,385,133,449,724,257,276,
375,069,082,205,211,529,473,298,929,140,788,405,788,070,098,994,530,849,242,
415,389,336,606,472,704,623,035,712,560,001,120,516,954,212,319,247,140,659,
203,112,509,409,864,026,606,516,013,629,459,709,897,426,048,940,705,003,622,
941,668,686,307,901,622,301,991,843,129,971,652,328,106,933,148,282,240,978,
271,348,197,935,292,799,195,321,406,571,641,338,047,040,163,165,372,000,049,
397,576,128,863,901,632,606,812,671,574,814,384,968,912,330,454,825,376,780,
543,477,865,518,930,472,774,006,552,475,814,371,449,232,126,922,156,786,021,
389,945,588,777,480,440,755,899,463,937,337,311,882,124,719,156,456,595,668,
330,557,976,707,194,577,531,937,587,040,753,444,258,885,196,147,649,158,092,
189,362,069,467,946,646,382,025,956,935,166,143,941,197,122,293,467,945,140,
998,467,075,682,783,515,449,860,196,052,269,247,561,147,431,846,073,356,312,
776,663,338,492,793,448,526,190,796,088,504,720,208,561,030,184,400,531,114,
396,467,057,305,411,378,250,452,484,849,957,904,365,844,624,928,418,726,538,
420,157,621,730,672,678,494,332,443,316,376,117,835,790,836,262,726,832,525,
142,654,884,250,298,918,712,451,378,347,114,238,201,705,661,540,780,517,995,
633,731,309,412,760,589,587,023,867,761,055,781,770,548,504,399,429,492,267,
337,645,565,839,573,439,325,365,087,350,550,336,944,290,372,277,067,631,050,
790,081,030,028,217,918,343,201,429,504,452,138,507,235,391,051,865,589,308,
033,425,326,246,203,434,413,502,354,184,320,058,126,485,765,274,914,713,252,
126,937,633,409,105,798,819,513,853,669,760,181,847,474,773,925,212,783,645,
682,893,550,979,344,250,323,717,441,014,589,314,534,932,412,092,624,435,250,
571,542,829,156,985,719,740,527,170,070,047,984,841,487,896,127,718,143,043,
934,719,187,417,212,746,597,901,145,296,083,630,290,238,773,683,621,227,629,
100,519,008,033,480,361,573,669,218,382,149,586,188,516,352,280,382,465,997,
868,855,966,393,213,704,636,793,261,983,075,304,385,318,614,717,033,645,027,
533,350,494,790,401,649,809,524,851,975,659,487,138,306,373,749,767,869,047,
605,618,258,231,943,216,588,117,490,879,115,947,596,105,962,687,750,253,925,
484,324,845,599,520,619,113,194,403,423,808,448,037,914,876,690,150,556,511,
242,842,484,070,035,189,664,024,571,574,408,809,089,325,868,875,207,274,613,
102,632,679,778,516,948,179,956,807,597,401,700,555,215,826,910,255,843,270,
347,389,905,310,368,479,355,206,529,336,814,365,263,875,916,331,119,735,994,
801,447,929,056,346,025,447,345,652,568,319,311,685,253,715,758,714,771,522,
961,322,424,183,681,249,971,859,655,129,741,659,972,442,401,363,266,552,481,
707,547,083,893,342,052,573,154,815,790,549,209,134,364,498,748,089,237,108,
861,362,842,843,644,231,715,642,594,280,626,684,991,932,268,706,321,728,675,
163,717,975,297,141,960,215,346,648,213,109,311,349,458,555,109,464,682,095,
318,830,215,439,694,707,283,013,003,815,948,999,502,109,771,546,883,391,056,
112,241,553,805,157,200,921,098,889,691,027,481,782,749,653,680,445,767,517,
044,772,194,901,759,481,380,387,537,174,877,811,485,237,965,875,606,105,525,
696,922,624,404,837,428,130,985,751,704,706,504,409,641,664,734,771,500,159,
370,639,081,323,383,476,285,276,901,319,957,574,938,184,380,930,336,133,784,
111,919,182,988,172,621,380,326,791,142,123,405,553,622,407,843,491,806,991,
418,691,440,990,954,892,217,138,588,900,687,532,682,926,550,287,429,673,941,
669,975,753,932,473,604,191,553,554,170,072,597,931,677,023,335,882,374,757,
431,101,244,623,978,923,433,232,575,497,971,381,243,442,968,572,531,830,010,
054,984,196,069,026,791,380,194,677,587,988,811,473,069,609,851,397,410,686,
603,939,888,076,670,755,642,474,627,768,055,361,514,970,997,220,560,126,071,
292,606,337,978,749,495,216,006,441,821,564,016,735,435,465,869,506,552,129,
124,106,110,967,359,634,092,762,824,424,882,049,707,843,411,910,659,645,494,
119,352,508,820,240,689,330,468,699,774,068,359,309,217,220,232,159,022,417,
996,394,579,231,247,205,823,339,657,786,034,298,140,926,245,724,256,002,782,
652,412,871,592,476,479,626,613,060,787,343,000,662,378,815,915,877,376,683,
884,137,903,925,024,046,835,530,637,433,592,813,669,886,141,798,471,977,197,
966,702,811,526,964,124,295,885,343,204,533,341,462,335,635,393,014,943,186,
190,222,976,894,802,140,206,189,050,875,318,139,772,312,491,495,410,012,923,
731,534,233,714,050,767,551,058,084,864,266,429,786,532,646,788,833,341,720,
588,137,868,801,955,953,523,192,901,858,990,494,376,942,708,554,120,208,995,
309,004,320,868,828,784,277,002,865,577,996,148,960,859,910,349,728,839,601,
822,094,457,427,936,958,384,759,907,124,470,366,918,994,937,201,654,887,453,
189,438,073,406,429,232,357,496,759,328,763,202,368,439,636,633,075,306,513,
310,757,586,201,724,713,525,323,165,584,557,493,987,486,978,208,975,388,281,
542,553,466,452,313,348,855,224,903,195,684,334,216,912,221,069,558,781,618,
727,801,649,950,936,637,929,550,457,982,580,533,693,290,629,933,271,322,553,
780,463,424,094,104,986,880,883,910,148,886,297,388,357,879,456,693,492,275,
370,926,006,861,306,001,722,232,166,956,805,954,380,865,328,446,463,400,837,
365,294,525,753,146,148,289,399,218,635,430,033,755,923,222,023,279,738,411,
073,289,604,465,664,602,649,877,828,069,317,932,133,307,298,317,626,740,907,
657,634,315,365,767,425,237,248,648,516,600,896,291,770,068,641,066,773,623,
258,533,431,502,564,675,213,588,551,723,977,772,151,388,182,945,790,595,096,
094,771,602,362,340,043,828,209,489,298,197,442,078,589,038,024,724,833,890,
889,249,597,997,686,512,457,605,604,047,920,281,571,628,148,924,115,043,790,
408,234,956,521,870,860,304,708,741,726,551,742,796,792,671,503,668,225,823,
792,746,970,868,093,697,405,358,578,962,965,759,134,245,088,677,138,974,500,
361,730,877,328,052,905,205,629,059,797,404,739,613,863,677,958,105,984,315,
201,522,206,214,403,314,021,684,228,174,946,057,378,957,982,511,259,241,348,
405,142,360,610,333,033,340,886,619,768,748,592,913,541,051,831,874,521,186,
848,914,035,191,942,500,722,050,509,445,380,665,008,284,972,522,709,783,128,
036,614,040,655,821,651,895,334,080,822,949,367,345,035,714,210,161,652,937,
262,731,395,496,622,794,989,263,626,288,175,739,258,117,785,396,334,019,759,
096,535,152,675,811,734,928,938,586,443,398,052,954,555,342,187,186,248,344,
622,589,471,964,623,205,024,587,889,711,634,564,093,307,848,878,874,302,555,
343,458,653,845,674,495,861,127,239,490,596,972,878,381,581,202,541,390,573,
722,068,617,194,006,682,474,621,680,559,414,808,833,125,998,204,929,271,123,
922,361,571,880,962,713,875,797,162,772,632,455,702,544,832,791,187,744,854,
077,462,756,002,651,299,781,803,179,175,624,280,639,983,714,804,076,778,668,
890,227,901,719,861,748,621,220,976,950,033,942,181,013,295,139,495,518,938,
579,016,482,936,145,514,047,137,748,386,665,901,559,081,842,503,249,164,093,
888,781,875,068,663,437,130,370,907,696,840,071,192,204,322,470,791,321,058,
851,869,577,720,054,867,838,819,878,272,840,962,385,495,284,479,693,867,961,
155,448,380,608,130,000,815,776,103,641,459,242,194,778,322,283,749,753,441,
513,276,377,565,644,267,231,545,383,572,962,002,235,309,471,550,370,576,666,
196,120,359,704,695,364,040,902,450,238,608,734,438,782,918,084,254,875,236,
099,181,120,289,523,722,516,543,805,084,496,579,997,332,846,090,553,987,360,
792,677,528,320,731,817,044,616,678,106,418,212,265,989,632,068,437,779,943,
405,027,227,808,094,985,130,820,455,984,347,134,831,245,380,371,227,968,856,
802,419,780,342,526,075,990,994,530,134,692,034,947,180,382,057,060,981,256,
344,821,095,401,226,109,609,241,393,878,324,600,060,853,641,485,381,885,590,
858,927,017,130,113,578,820,018,651,466,488,674,277,280,497,630,114,166,573,
329,529,397,790,899,521,153,475,186,488,995,871,242,240,465,407,112,926,421,
920,324,038,087,957,086,586,880,942,313,496,762,527,991,762,836,458,915,815,
084,616,236,978,050,785,080,776,676,701,141,672,143,312,555,579,716,917,505,
169,232,350,436,951,040,903,430,717,428,737,416,547,913,757,134,024,364,409,
436,713,636,592,709,539,867,926,464,342,053,868,759,453,061,996,247,272,399,
304,750,578,237,816,925,597,338,919,692,055,097,393,537,471,018,214,613,192,
748,499,307,575,426,256,539,081,967,170,450,906,462,172,622,870,786,994,002,
649,380,902,446,480,522,285,292,510,444,976,325,777,064,976,281,798,177,153,
271,263,266,473,042,607,985,417,875,555,240,317,078,607,368,437,656,840,604,
760,497,064,616,900,881,400,155,098,452,745,065,925,438,860,760,905,567,162,
892,773,306,080,644,353,858,925,995,687,036,563,755,307,446,783,724,849,371,
417,111,182,813,261,321,339,592,085,896,456,654,137,956,902,436,559,152,999,
735,819,658,884,294,851,469,422,836,341,590,370,221,545,226,753,603,471,843,
068,133,116,473,160,549,159,235,820,683,517,265,579,832,983,402,401,822,684,
757,898,358,514,528,572,109,384,250,956,166,641,663,277,107,431,331,142,498,
450,960,062,528,386,007,788,346,599,646,898,675,331,091,367,753,902,752,062,
097,373,204,317,436,984,495,847,849,169,301,426,614,887,738,506,031,729,000,
549,905,476,771,546,515,809,449,560,983,743,257,843,065,856,015,960,708,156,
338,128,878,598,176,307,771,855,564,475,645,531,110,029,913,254,764,850,425,
701,097,859,109,631,360,910,592,593,409,739,000,008,003,964,838,056,989,455,
531,174,102,273,646,155,367,860,825,086,015,042,385,876,774,970,810,890,062,
121,065,661,889,357,032,167,879,316,304,505,527,780,855,777,303,775,134,795,
935,094,692,972,938,813,157,815,922,481,045,060,925,903,204,615,481,065,351,
316,240,498,154,479,171,036,234,856,724,007,318,977,054,400,710,827,044,316,
683,596,041,563,344,920,974,626,821,318,371,927,632,549,843,149,831,963,529,
562,366,696,107,760,001,852,454,667,784,024,680,904,090,260,414,559,666,209,
579,977,695,819,022,535,689,833,176,050,440,289,844,640,292,699,180,438,892,
495,263,178,236,927,795,136,727,754,567,740,192,647,862,565,844,704,570,288,
060,087,794,694,126,325,451,601,793,159,665,158,469,641,397,343,943,412,699,
355,647,217,132,762,363,176,974,919,096,259,660,976,617,989,768,725,778,164,
792,069,054,112,584,263,287,692,905,037,134,031,124,231,370,989,035,730,469,
183,444,715,561,818,739,032,415,357,998,621,385,542,356,782,580,302,702,295,
980,963,024,822,648,740,896,592,728,085,795,609,125,044,239,803,601,353,942,
209,313,772,317,364,343,011,179,113,786,420,951,888,808,879,341,466,315,537,
401,160,870,691,158,483,106,748,916,229,956,929,839,981,194,225,925,886,784,
298,718,010,349,036,425,044,699,550,131,423,236,266,413,124,805,115,856,077,
340,333,408,257,706,695,294,363,061,171,227,621,371,237,965,848,901,800,944,
401,624,106,293,364,723,425,840,025,451,703,111,626,685,614,139,885,528,188,
711,022,583,379,687,465,311,195,021,950,833,832,913,265,968,351,708,602,275,
196,781,628,935,474,994,186,601,920,388,793,325,824,999,607,410,057,695,708,
034,233,693,126,063,456,600,710,512,473,442,178,310,488,031,894,806,203,276,
205,033,275,794,401,762,492,482,381,608,046,494,469,469,137,994,254,053,717,
863,918,246,828,984,539,343,435,407,366,602,938,779,558,794,033,878,680,381,
466,435,637,677,677,895,517,905,876,740,617,299,169,696,529,894,978,011,760,
446,424,919,966,682,695,716,563,101,273,763,357,152,764,543,605,516,844,694,
514,572,242,082,281,797,197,851,604,329,878,380,790,386,798,394,549,345,643,
837,017,286,005,631,304,731,127,934,838,977,304,792,185,601,050,216,104,867,
887,912,993,775,764,727,200,568,279,503,528,186,045,420,348,501,150,171,609,
497,362,885,597,854,380,022,629,999,242,122,504,239,351,222,039,639,871,222,
243,786,617,346,890,059,256,204,620,621,945,702,875,911,559,007,451,826,820,
672,270,693,859,427,239,992,105,388,008,302,833,010,934,932,990,841,675,432,
255,738,462,909,636,444,763,716,821,325,476,758,648,615,136,710,436,312,731,
106,502,159,030,150,692,791,521,694,633,805,379,217,908,679,751,265,886,920,
120,060,663,434,247,832,394,697,829,193,226,553,911,405,006,121,491,095,363,
954,526,101,030,592,868,773,762,686,500,926,493,555,726,251,532,251,317,074,
150,508,445,318,668,045,706,887,889,058,944,909,834,594,949,421,466,136,587,
360,022,065,849,527,583,264,509,195,530,464,192,708,479,691,301,653,908,157,
773,671,148,714,808,061,634,040,947,011,944,705,666,633,352,774,790,265,328,
590,181,239,933,250,055,890,902,954,026,990,487,099,651,335,289,488,830,498,
707,135,768,651,894,115,397,618,861,041,503,149,708,752,927,420,149,144,123,
831,387,282,911,824,139,513,296,172,608,481,556,180,564,675,025,974,473,575,
038,899,771,549,073,312,708,611,864,562,805,707,616,952,007,453,776,219,879,
689,569,255,181,982,560,156,460,231,303,030,480,977,740,425,910,911,123,576,
209,407,024,723,476,870,806,464,695,349,827,687,772,933,587,673,629,873,793,
675,778,464,975,618,123,587,591,698,250,987,218,318,731,245,501,192,696,854,
074,764,338,501,736,554,179,831,892,723,540,274,634,626,881,528,077,180,399,
650,252,067,156,281,747,230,109,767,835,672,549,099,503,985,365,749,174,166,
651,362,147,726,580,708,596,869,888,163,576,171,336,329,878,462,556,751,808,
519,889,321,351,113,277,527,733,027,987,228,256,297,294,635,735,334,965,192,
614,974,027,163,392,965,253,723,132,205,796,497,454,534,287,662,879,597,027,
636,130,151,184,563,749,125,601,661,433,809,589,325,187,443,072,468,424,578,
989,281,511,710,187,761,150,218,499,744,947,092,945,373,956,637,156,634,831,
941,982,150,809,037,814,819,708,627,080,704,908,035,741,942,454,799,533,669,
470,591,850,181,482,273,982,888,451,305,947,936,972,594,573,783,929,112,145,
888,365,124,401,122,654,696,245,614,309,243,048,668,097,767,863,811,018,737,
562,229,699,061,480,389,205,816,327,562,140,589,025,330,642,675,147,904,912,
556,366,181,315,683,752,457,652,161,454,669,633,197,997,778,407,281,581,388,
369,305,589,948,705,528,659,215,287,541,772,836,716,233,884,341,610,427,534,
012,011,281,990,554,762,985,944,612,227,064,993,348,349,429,433,737,829,478,
672,359,263,723,560,001,409,539,627,042,681,280,736,247,261,915,259,275,597,
121,752,099,192,835,037,794,031,961,334,270,008,571,542,720,554,014,213,408,
491,815,960,057,156,593,815,371,040,143,961,273,072,354,827,270,742,325,614,
709,615,885,376,262,926,425,249,008,665,989,764,925,080,514,048,624,425,393,
676,233,037,901,904,070,499,245,851,735,688,773,609,888,525,573,987,387,777,
802,679,806,612,651,826,578,052,924,075,012,835,241,647,865,571,128,025,926,
745,658,067,724,262,863,977,710,118,033,120,965,211,484,778,932,787,038,896,
361,925,275,813,658,872,047,774,151,893,389,656,203,410,811,682,817,989,002,
049,201,211,240,279,334,728,138,100,535,700,464,826,587,986,337,514,867,118,
104,726,071,168,378,815,681,570,826,574,251,705,096,964,645,588,863,172,655,
657,872,854,747,745,018,156,467,526,219,915,310,331,371,125,796,716,864,969,
213,080,608,313,317,535,502,313,816,452,388,841,459,874,358,352,309,207,338,
629,319,363,819,911,500,822,378,058,935,028,217,484,322,840,061,457,734,873,
984,335,290,590,931,674,608,648,172,890,660,412,725,154,211,834,086,332,482,
038,924,573,357,593,546,822,882,951,853,003,886,024,071,209,534,587,252,876,
190,928,892,539,983,909,906,283,898,671,944,983,218,238,911,767,040,045,977,
855,915,396,974,502,900,641,631,470,387,220,106,390,921,333,662,571,979,593,
127,706,355,352,188,514,520,681,379,036,187,952,612,305,280,194,708,937,860,
434,883,651,146,268,549,099,828,117,888,417,980,646,373,710,684,003,061,176,
854,760,549,152,217,412,441,744,597,172,014,156,447,286,438,790,864,374,024,
889,518,269,902,286,169,357,830,671,849,989,311,661,626,895,912,939,031,330,
658,449,949,166,643,776,892,674,638,218,035,108,118,572,854,200,854,805,633,
369,151,574,083,616,229,324,119,656,091,276,203,715,972,540,475,908,370,715,
303,925,193,628,356,276,243,167,255,135,727,336,857,941,990,946,713,488,373,
605,672,868,637,318,309,346,232,392,492,417,404,195,363,081,878,758,680,074,
835,761,414,353,431,051,910,822,152,843,530,056,837,594,729,121,356,718,057,
697,663,567,529,534,544,293,087,935,740,787,214,050,694,078,737,094,208,218,
856,266,889,234,674,440,034,702,922,373,350,428,266,467,302,357,628,384,929,
569,207,928,868,996,013,661,747,217,876,736,446,377,195,580,750,556,497,813,
336,560,641,339,075,281,535,965,903,523,493,616,449,505,318,277,263,155,870,
437,925,596,293,132,278,904,983,787,644,756,620,410,006,119,587,322,719,995,
905,617,459,039,523,724,490,055,801,150,712,907,899,523,072,654,824,016,512,
621,232,067,658,873,598,797,724,109,207,444,183,433,259,432,907,163,173,949,
251,574,047,553,514,134,611,568,060,376,940,955,953,097,464,300,278,983,564,
971,621,563,738,558,857,779,194,259,619,515,075,862,622,569,549,620,298,583,
765,032,489,849,289,899,742,194,555,911,051,274,346,269,644,101,939,451,562,
958,339,391,768,622,850,474,245,379,638,141,909,224,268,620,187,511,214,272,
534,371,701,053,761,945,808,728,060,523,179,367,130,646,054,656,781,726,212,
779,277,463,347,969,577,680,588,560,228,045,792,190,137,100,223,237,934,963,
365,450,685,095,190,966,691,952,801,109,240,573,681,005,332,570,358,032,787,
328,988,097,409,523,205,967,786,814,678,003,881,450,721,316,939,204,604,054,
980,745,348,399,402,183,307,988,964,782,441,814,893,891,632,795,101,483,673,
268,495,857,217,860,075,103,388,554,389,762,666,149,441,169,512,501,974,551,
006,191,319,225,313,549,699,110,690,241,939,885,229,352,019,508,636,325,929,
537,664,554,742,111,285,847,732,536,617,333,808,015,426,086,242,388,178,945,
956,238,206,314,937,688,773,888,327,480,379,420,228,958,309,720,022,304,847,
922,018,550,949,889,197,133,301,969,237,784,719,047,837,609,690,660,833,000,
725,289,112,544,652,164,823,804,712,372,788,661,629,416,421,205,395,754,295,
470,852,123,151,361,214,530,294,465,013,480,641,016,483,577,842,303,928,813,
175,970,021,159,723,913,251,971,961,581,295,210,486,436,655,416,584,289,442,
564,221,631,862,105,924,867,448,182,681,606,552,961,929,546,449,873,718,035,
606,880,597,369,999,439,905,379,375,056,434,312,122,078,183,299,233,756,360,
761,044,351,014,407,392,341,040,800,157,945,890,760,249,568,383,501,783,412,
142,025,651,894,814,627,834,153,929,319,561,432,508,649,424,576,526,485,116,
172,468,792,132,257,206,761,011,624,199,655,833,365,699,845,564,693,451,144,
654,858,761,197,768,083,690,162,636,693,549,390,666,041,678,071,137,477,103,
413,528,402,789,185,701,738,652,722,689,232,274,965,284,383,288,533,935,920,
146,859,570,935,145,706,675,250,109,027,600,883,717,614,508,944,323,202,859,
332,700,036,944,292,537,144,286,656,570,971,365,970,877,496,084,397,690,908,
044,234,697,916,075,037,324,480,599,283,257,578,266,537,200,429,777,838,952,
911,822,836,611,267,140,411,237,104,618,956,452,320,880,950,828,057,085,742,
969,289,054,322,410,357,880,310,512,937,623,349,794,928,253,760,426,329,208,
283,026,383,531,184,549,340,264,390,046,995,107,499,137,497,427,191,376,337,
847,562,022,972,958,265,759,051,190,272,241,220,963,852,560,203,597,850,174,
465,035,405,910,915,982,027,918,332,728,847,162,115,174,083,605,405,352,370,
601,752,937,790,677,786,790,323,566,003,523,526,772,780,253,984,264,986,439,
722,534,355,427,423,712,223,539,037,256,801,681,435,176,302,378,604,355,457,
970,720,067,921,542,179,721,657,662,676,841,394,074,924,024,362,235,400,389,
666,300,974,785,794,704,563,393,844,989,593,787,835,286,285,244,921,201,053,
927,967,917,817,013,213,096,367,492,691,579,001,379,199,690,486,396,052,642,
400,161,331,782,031,022,960,475,175,786,271,108,054,214,182,579,832,329,239,
383,295,618,952,385,115,702,319,315,212,432,967,774,523,779,814,983,337,223,
748,322,491,612,266,139,810,117,120,174,567,526,350,343,522,054,200,112,606,
030,643,938,822,143,514,608,469,154,563,371,289,212,962,810,078,984,928,347,
190,136,072,292,324,692,310,439,102,729,983,072,456,495,497,666,444,103,691,
574,935,454,876,660,339,048,089,414,898,371,368,490,956,246,831,591,930,224,
038,864,461,267,020,201,174,267,013,506,644,775,423,678,735,042,319,947,137,
375,887,296,653,726,740,163,877,419,783,807,186,650,969,828,399,306,010,858,
221,138,465,954,865,450,549,207,067,759,719,302,604,076,405,145,746,664,719,
328,052,796,662,437,150,326,050,070,141,564,330,282,186,805,590,463,548,748,
534,002,425,717,483,008,397,696,888,810,091,461,868,460,742,297,455,823,748,
991,392,686,935,914,989,581,466,482,117,778,024,730,846,833,239,643,362,265,
485,123,804,842,710,493,078,886,565,318,488,796,582,576,245,656,319,945,146,
216,771,842,064,492,996,425,400,886,676,598,670,184,014,047,082,877,792,390,
129,662,088,895,239,295,290,464,880,220,619,717,261,180,734,937,800,402,909,
877,698,049,656,253,112,639,180,786,194,553,056,773,431,454,336,759,356,795,
303,653,171,896,287,264,229,334,209,295,191,838,035,400,394,638,806,945,932,
618,803,904,492,237,975,845,527,163,433,952,508,866,049,951,622,650,582,241,
545,811,760,430,152,296,417,576,909,375,907,207,185,068,490,479,837,818,209,
333,637,106,911,437,528,934,618,482,289,371,915,832,536,712,776,621,950,837,
950,413,935,555,077,929,956,550,661,725,401,624,216,855,749,463,685,310,395,
922,785,610,213,989,402,579,977,931,939,311,461,654,465,206,869,029,265,842,
463,847,595,952,077,171,678,225,565,156,262,371,198,272,229,030,480,624,058,
348,346,617,614,569,992,792,961,113,339,268,298,186,589,342,003,101,771,835,
639,963,719,752,980,214,648,224,873,882,653,736,058,896,200,805,380,656,856,
407,138,691,946,243,130,132,218,718,188,435,459,126,850,401,798,613,681,088,
781,359,973,963,240,696,730,141,575,985,438,443,694,491,188,562,960,043,970,
796,286,938,884,551,746,633,625,127,386,892,337,670,275,339,891,691,329,569,
820,477,505,686,263,016,824,836,316,319,382,628,878,342,439,663,747,230,711,
779,204,341,083,365,238,002,834,454,982,523,800,354,185,957,800,373,676,925,
228,900,139,130,125,265,368,331,042,907,204,919,381,813,968,641,626,483,345,
626,292,039,896,380,990,391,880,010,768,582,292,637,659,541,896,599,554,077,
621,890,829,829,692,955,028,469,280,758,380,272,985,395,153,706,568,734,041,
289,330,706,487,870,615,214,808,726,315,093,280,077,953,544,514,329,025,355,
723,429,349,298,826,676,912,576,234,878,473,923,644,646,307,058,789,118,345,
985,577,886,647,576,851,895,429,451,159,736,570,781,546,368,693,264,555,243,
639,604,952,528,052,429,915,513,522,190,134,998,072,900,661,613,024,852,472,
587,737,384,481,713,492,078,841,365,674,671,041,785,687,094,711,868,920,220,
128,435,143,817,818,146,319,083,452,150,557,154,478,701,335,576,510,158,005,
889,652,233,565,520,077,563,498,301,663,068,142,205,549,439,872,562,253,376,
935,631,178,041,627,403,305,690,376,999,732,563,087,936,624,499,827,561,727,
895,864,891,501,968,273,919,643,823,587,893,349,724,247,033,529,429,238,227,
457,651,122,892,289,678,082,053,720,179,206,228,248,639,465,597,561,559,613,
072,642,008,435,738,499,059,070,858,463,068,016,634,393,483,281,089,454,437,
320,373,658,702,375,959,084,923,461,023,475,168,681,791,175,097,563,799,939,
254,056,469,151,383,369,920,199,996,492,708,493,629,715,647,948,513,391,757,
389,605,993,644,748,328,295,759,076,638,074,435,173,026,263,951,108,776,526,
431,726,284,003,232,433,809,030,191,400,155,757,519,608,927,249,355,357,277,
186,879,846,089,093,649,673,849,693,485,672,370,635,125,448,684,453,618,417,
327,304,560,958,512,094,503,124,515,525,626,941,402,645,858,071,071,614,743,
812,490,378,433,049,386,028,626,018,794,228,960,444,573,866,864,988,428,949,
311,594,219,211,044,405,994,454,960,709,148,661,084,061,789,508,060,394,741,
704,597,958,490,253,690,873,418,466,579,422,914,913,712,197,014,413,047,322,
446,459,052,836,834,414,107,890,687,776,212,583,089,181,053,999,446,677,020,
868,583,212,882,465,925,281,769,166,448,981,909,645,118,222,995,709,597,384,
999,035,830,633,741,610,325,027,420,032,138,572,759,623,281,546,734,953,247,
082,027,538,680,170,242,548,995,865,485,457,851,591,691,827,739,001,100,364,
441,805,179,602,206,698,934,531,271,362,663,845,132,837,011,838,917,036,398,
744,769,011,972,209,591,588,676,912,089,700,130,420,611,343,588,945,967,894,
279,143,485,191,846,569,150,241,373,147,548,773,933,399,860,408,547,777,929,
346,936,557,687,996,030,536,428,781,606,298,994,539,644,277,181,949,770,759,
694,077,302,988,055,526,640,755,516,252,191,751,567,246,866,551,478,970,675,
269,872,851,864,516,288,628,402,868,433,157,455,618,129,140,410,126,040,409,
644,691,377,388,783,806,770,182,670,322,839,860,479,839,050,853,345,789,945,
885,235,862,108,165,848,095,129,413,039,196,825,235,129,542,430,091,727,375,
008,411,938,897,534,809,079,746,855,944,980,407,936,881,423,166,171,229,102,
291,739,353,080,538,726,667,589,086,074,219,842,005,474,028,080,121,079,951,
825,650,924,189,799,196,050,590,436,406,982,209,894,502,298,993,002,108,695,
235,972,251,990,637,233,749,362,093,975,158,624,032,662,115,925,352,920,703,
923,050,103,792,257,676,766,762,049,243,764,525,669,170,431,889,193,404,203,
005,286,023,680,324,132,519,131,324,420,508,066,588,769,799,312,598,387,584,
649,790,068,769,114,246,736,102,093,044,220,956,109,243,023,718,836,465,270,
865,678,068,705,860,572,139,706,137,926,525,564,601,310,550,229,853,524,588,
826,387,045,193,581,465,685,984,502,543,658,702,880,492,896,823,549,494,092,
701,273,903,869,511,989,613,312,680,249,552,206,353,819,646,110,147,683,899,
763,257,401,180,296,520,033,904,819,926,740,690,442,893,429,308,552,452,418,
636,161,184,925,198,992,899,465,223,007,482,062,184,421,713,052,140,842,701,
095,516,141,662,986,197,968,228,951,924,674,237,213,438,148,288,804,047,153,
878,807,741,798,125,459,692,804,224,250,781,560,253,699,184,818,432,825,796,
988,406,474,534,321,315,340,573,334,750,998,849,061,379,395,214,765,218,104,
733,321,356,736,710,933,610,626,004,911,526,653,231,693,429,263,042,810,743,
653,142,121,744,754,035,357,788,233,464,803,159,034,971,872,897,232,583,558,
529,542,275,188,578,082,448,806,005,317,248,683,788,210,110,689,816,169,300,
849,893,415,490,562,832,487,261,090,488,832,957,270,447,730,807,655,078,494,
918,732,924,318,513,028,633,682,158,672,806,118,007,734,236,197,689,356,818,
513,005,365,715,570,714,801,730,102,343,147,138,462,086,658,926,905,666,529,
629,867,882,255,526,707,793,014,746,484,815,490,356,368,357,566,874,294,113,
061,656,121,318,936,159,952,787,183,026,898,988,609,328,157,904,866,627,425,
841,283,104,202,572,186,607,015,182,291,617,244,562,674,838,861,959,051,508,
815,375,200,682,540,265,030,862,941,767,284,603,734,428,912,405,909,936,849,
462,129,329,213,742,446,040,350,200,029,180,629,058,034,645,762,583,278,455,
027,398,296,579,949,298,550,868,721,855,365,158,202,958,793,949,951,002,314,
199,152,069,753,619,597,663,593,296,106,187,890,376,381,173,179,163,766,176,
122,804,105,184,441,731,543,762,369,360,056,958,074,568,455,777,906,932,768,
409,145,633,293,985,637,002,398,169,607,290,458,861,249,189,101,831,175,412,
014,036,451,548,442,866,855,523,090,097,978,098,343,795,207,674,084,208,489,
531,866,824,282,485,410,537,665,090,643,980,736,040,898,008,928,885,107,005,
986,338,428,726,475,019,080,078,899,936,709,935,306,779,585,283,207,770,007,
511,350,278,444,774,653,018,548,232,369,958,540,045,637,050,766,391,808,106,
291,883,786,677,395,702,114,732,975,881,731,440,407,929,853,307,737,858,610,
207,513,071,537,029,076,761,919,639,724,625,708,078,092,354,867,521,075,409,
526,839,303,831,524,786,530,863,507,891,514,230,861,457,755,941,168,030,542,
910,503,099,497,515,566,997,433,069,141,129,855,197,914,105,754,269,019,336,
177,826,292,520,518,414,530,488,073,883,902,819,489,729,254,192,468,670,690,
853,139,141,232,131,788,315,129,920,858,428,099,148,856,329,492,728,821,982,
357,330,880,228,139,980,461,904,037,670,409,664,092,106,856,561,526,093,784,
448,877,031,184,675,329,550,501,258,388,387,912,349,728,439,133,179,278,585,
490,333,079,285,880,620,426,479,199,518,563,597,885,714,952,161,565,168,791,
478,080,647,715,627,078,815,490,789,657,402,879,427,000,328,737,882,545,394,
850,684,002,956,356,262,186,554,293,087,142,598,390,497,462,856,927,716,823,
639,505,604,797,003,180,282,314,519,511,699,964,378,932,234,218,760,434,845,
388,630,477,853,540,197,965,213,111,248,081,074,305,420,611,301,142,961,011,
904,037,557,463,119,593,325,543,654,550,702,954,360,415,675,735,562,991,776,
401,491,590,424,451,335,921,689,270,891,512,423,081,455,481,397,385,330,464,
672,714,807,351,692,495,665,328,793,058,343,283,081,522,162,220,376,803,202,
718,688,186,796,028,722,635,643,691,588,406,454,982,118,364,654,660,111,887,
792,284,044,924,327,901,446,108,480,498,335,424,500,305,358,484,601,373,629,
653,612,919,417,820,245,246,822,771,216,198,582,024,430,343,556,855,573,995,
604,102,317,479,266,130,746,128,916,456,994,637,690,521,192,224,618,964,368,
558,783,607,579,933,963,051,700,667,128,436,369,394,495,590,531,966,339,855,
976,403,515,609,835,694,756,187,937,049,305,218,846,705,475,465,760,762,665,
254,155,594,142,711,806,104,726,270,170,198,798,662,731,335,835,920,370,523,
908,888,265,652,770,769,140,119,839,526,235,992,672,513,571,292,208,647,042,
210,612,401,997,925,563,164,120,875,484,622,332,983,174,044,965,989,652,704,
238,491,986,388,280,769,746,180,352,377,428,923,504,550,020,365,987,446,464,
845,172,383,774,322,106,363,047,574,316,408,521,409,254,108,835,721,472,954,
015,820,122,748,288,099,113,168,530,429,031,404,991,003,717,276,246,931,937,
337,676,851,486,569,179,883,777,995,080,183,699,195,029,442,413,369,537,949,
316,219,922,864,786,490,619,678,176,475,049,143,061,237,362,941,549,948,271,
211,981,472,367,297,817,372,252,518,650,629,542,634,587,055,161,617,161,891,
846,735,507,616,416,296,582,742,284,884,870,509,069,796,408,327,656,604,952,
252,210,078,794,031,584,941,962,109,671,927,560,471,532,449,633,493,309,130,
645,017,633,131,436,558,932,084,358,002,563,416,481,000,060,581,241,507,984,
599,221,213,102,435,988,852,260,501,388,829,073,313,014,639,180,635,608,649,
423,967,366,001,702,708,389,884,729,098,223,108,037,693,022,224,059,230,521,
084,429,556,555,798,865,018,169,089,316,998,993,185,189,131,886,870,112,222,
159,509,819,414,962,283,765,225,606,202,164,467,084,564,647,071,933,550,288,
958,606,490,135,936,917,004,861,707,995,495,682,632,289,378,719,243,094,047,
157,952,834,138,735,702,626,686,772,385,657,935,500,259,860,019,472,191,917,
388,454,090,001,712,499,610,888,483,404,875,324,459,496,665,709,295,552,752,
638,583,379,094,827,747,318,955,481,019,969,389,578,553,154,910,271,178,691,
287,028,720,297,102,472,495,026,684,205,393,763,470,630,388,889,480,118,670,
968,183,413,273,765,483,099,216,354,185,990,084,217,979,160,366,472,239,816,
661,996,774,880,706,392,569,061,002,533,912,634,292,553,452,047,764,257,211,
301,285,921,897,475,051,360,227,977,198,443,151,945,768,109,244,840,724,788,
946,468,235,809,845,963,801,593,847,296,896,470,164,904,138,473,610,223,233,
225,074,624,169,662,650,844,963,746,266,562,869,536,648,122,406,905,191,223,
282,514,741,726,141,312,867,752,429,102,491,923,181,029,695,497,612,535,783,
484,977,763,906,227,236,063,391,004,780,604,165,081,394,113,794,483,395,311,
810,289,352,384,532,588,893,580,711,737,893,206,987,380,251,244,401,787,696,
493,554,212,176,798,225,675,657,036,023,832,112,399,774,023,448,243,216,466,
896,374,974,738,636,518,908,457,126,978,870,634,188,148,460,093,581,489,152,
068,493,516,636,782,548,142,745,060,264,758,297,911,919,277,790,251,619,715,
376,755,968,938,594,230,638,206,283,129,706,535,182,146,387,351,067,654,311,
534,093,771,390,181,127,553,987,604,328,994,041,670,904,165,784,141,480,042,
659,937,353,619,026,133,155,242,791,577,062,961,528,447,938,630,672,747,327,
950,107,652,636,966,480,004,124,670,746,662,479,960,577,081,239,928,042,679,
112,275,833,202,024,168,778,790,299,484,719,818,833,035,515,351,432,877,054,
209,587,425,540,272,578,260,931,329,630,364,118,525,399,925,588,075,631,316,
704,733,012,495,008,291,804,252,596,036,250,021,923,656,105,279,322,745,106,
597,008,889,865,127,245,997,742,475,499,647,548,791,458,949,074,730,243,998,
511,527,540,293,639,706,791,750,046,759,413,717,383,144,920,488,440,522,364,
318,820,308,238,888,245,995,928,324,479,737,397,718,275,863,810,545,878,428,
253,006,802,727,441,102,408,029,978,261,227,610,693,904,712,032,508,639,433,
308,575,875,260,748,549,274,432,467,865,824,224,766,460,872,557,255,670,575,
691,515,415,577,154,901,468,972,269,374,733,659,782,421,763,356,126,317,220,
271,001,415,624,841,722,217,185,291,126,527,319,753,363,440,488,697,191,179,
036,999,818,942,058,433,136,671,820,337,026,912,963,748,575,420,292,650,002,
182,928,008,319,554,543,567,945,763,678,386,667,099,526,864,689,579,602,248,
611,648,806,573,138,254,484,515,940,452,063,103,476,976,068,150,112,073,633,
869,560,798,085,373,619,225,513,730,369,701,977,023,380,392,528,036,894,655,
769,162,008,525,006,823,394,592,104,245,073,970,056,582,634,937,149,533,804,
653,862,571,152,420,361,312,785,717,766,065,895,333,076,652,181,806,170,611,
088,928,119,130,882,293,459,658,288,021,902,369,071,729,156,757,256,912,555,
765,708,821,181,551,916,665,344,096,285,200,677,927,684,514,785,200,360,339,
677,166,291,167,531,570,308,139,682,358,293,811,895,193,030,095,467,845,375,
271,210,024,617,899,510,663,959,340,749,307,829,980,289,684,647,073,030,615,
207,477,058,542,663,655,373,880,716,143,799,049,944,465,515,601,761,687,437,
706,292,610,555,755,999,042,478,256,291,983,857,782,901,671,435,385,234,190,
342,508,286,656,531,236,809,909,916,644,978,765,816,624,071,910,616,435,638,
041,086,399,906,937,172,806,452,978,069,408,169,333,834,740,525,931,179,332,
725,495,042,200,447,984,047,853,409,616,488,226,459,447,544,165,950,604,840,
060,796,584,837,765,571,957,114,136,119,135,022,421,525,461,398,213,305,892,
784,099,307,099,849,941,302,305,647,378,248,398,066,648,324,617,147,150,906,
563,503,157,784,938,675,485,213,237,684,215,266,964,195,119,473,378,902,311,
270,388,214,001,554,707,759,986,746,930,402,516,353,434,820,759,914,477,334,
277,214,256,966,978,580,768,524,439,992,306,395,454,123,992,313,915,010,082,
328,732,161,563,328,153,716,523,083,645,485,490,550,309,926,659,573,252,264,
488,514,019,892,981,276,822,345,546,454,003,752,403,200,917,007,873,553,423,
576,212,285,065,880,617,520,289,880,367,761,708,718,842,928,951,148,529,174,
162,311,595,981,820,498,734,538,761,740,108,590,921,511,737,322,550,608,847,
742,150,192,502,437,511,092,799,788,461,787,140,861,624,077,467,816,019,331,
022,222,753,602,480,923,994,481,248,674,263,193,803,497,121,186,577,723,966,
432,400,085,805,379,340,891,202,177,458,073,704,534,006,743,208,362,857,811,
458,800,050,798,577,034,452,619,832,678,656,620,914,814,928,165,649,428,964,
230,899,810,317,436,978,174,557,021,880,593,814,060,233,393,870,927,447,189,
574,879,859,314,310,202,492,886,109,154,943,559,622,771,176,459,173,301,125,
094,226,499,327,243,972,226,014,098,083,426,422,675,941,598,949,009,092,956,
542,751,089,516,210,842,178,624,115,834,955,828,638,789,244,214,513,491,604,
431,279,569,792,152,331,672,207,506,086,001,224,586,205,532,925,234,573,663,
287,055,408,389,454,346,575,637,475,957,909,953,552,245,874,824,965,753,089,
480,730,317,308,671,382,891,346,904,819,973,383,690,773,303,713,578,943,508,
344,200,124,139,173,714,634,116,224,240,011,570,652,554,813,510,716,544,148,
837,137,452,792,111,327,028,353,445,022,763,526,333,180,380,214,395,361,478,
690,881,933,715,086,492,984,574,414,954,463,773,928,123,955,757,273,042,324,
579,303,989,649,102,384,571,749,148,261,006,040,044,828,249,587,004,874,837,
006,038,808,298,823,958,589,318,589,408,893,979,160,618,079,454,992,294,180,
238,193,338,392,591,809,793,552,301,838,723,445,850,275,800,627,195,733,393,
741,857,820,829,353,574,410,216,895,257,375,867,549,318,546,024,907,132,292,
077,119,090,239,644,421,183,334,134,829,082,961,202,392,546,355,828,415,840,
347,636,585,211,801,925,840,402,979,735,884,523,040,984,203,526,167,380,352,
053,025,061,614,914,745,175,365,012,562,752,432,020,527,891,747,163,203,529,
332,565,722,118,888,831,673,480,306,941,287,741,646,010,741,002,076,310,902,
998,258,240,790,437,771,429,936,227,275,964,973,170,839,315,448,107,974,184,
094,896,265,794,882,458,439,442,494,620,741,884,516,241,112,220,397,006,837,
171,979,298,156,069,669,746,881,411,526,982,563,390,308,482,258,151,434,208,
223,956,792,901,842,355,297,230,813,037,671,758,753,806,528,681,110,263,664,
648,520,761,477,279,963,394,310,526,601,798,999,929,057,594,725,510,371,583,
813,130,531,599,508,604,793,256,493,099,629,846,470,268,713,157,252,023,334,
723,290,406,210,448,068,842,455,596,091,681,173,911,171,250,856,186,123,923,
619,870,841,107,972,844,223,176,647,946,272,649,570,137,218,764,479,833,746,
936,050,254,192,782,102,924,307,577,115,161,615,604,664,167,966,741,233,583,
012,193,338,210,235,597,549,980,203,890,031,810,638,224,670,075,748,516,600,
427,798,502,656,912,251,021,441,295,907,899,921,517,736,193,589,556,818,127,
235,562,023,454,723,810,231,467,690,679,891,824,885,383,329,997,878,843,847,
947,495,037,529,422,696,026,248,907,274,023,019,181,791,030,641,448,031,308,
864,579,577,717,138,288,622,041,763,957,403,079,091,548,910,029,034,463,615,
652,545,147,305,460,600,197,750,579,528,535,366,354,424,468,317,991,114,613,
473,422,263,616,823,717,997,378,333,442,416,532,299,567,029,315,287,156,727,
546,478,861,075,843,249,715,131,791,281,791,354,604,306,749,254,850,627,502,
272,927,094,949,254,922,353,010,710,714,880,899,907,590,086,391,356,084,765,
517,013,898,476,571,238,643,088,758,492,205,735,140,335,322,770,473,948,829,
643,364,011,211,406,009,294,919,212,452,645,189,194,944,640,979,578,425,924,
442,705,463,748,691,005,670,003,228,512,450,510,100,976,131,021,297,816,995,
709,298,032,889,395,258,564,300,696,194,173,054,979,352,049,422,717,559,560,
557,615,717,671,374,988,633,923,983,300,516,941,051,259,615,733,274,093,140,
073,178,181,082,164,167,447,589,034,248,139,467,097,188,032,313,087,592,338,
958,435,776,694,525,688,646,445,863,385,550,343,389,399,565,203,109,120,657,
204,203,057,647,268,717,596,439,285,988,003,822,269,769,948,172,201,011,019,
504,001,824,258,705,946,820,729,626,849,435,722,723,607,333,127,325,511,900,
616,937,997,527,562,793,418,932,187,642,522,347,937,043,757,713,047,728,560,
253,445,288,713,982,492,989,775,156,999,099,534,098,355,992,412,699,048,896,
935,479,375,970,322,579,693,919,323,692,704,248,341,096,185,441,317,614,565,
243,131,623,241,475,744,131,053,394,424,803,110,243,607,736,942,309,557,750,
299,949,692,314,517,232,880,190,489,828,079,043,083,807,475,491,606,465,196,
707,453,088,710,618,543,103,625,386,119,118,438,575,619,317,270,705,929,072,
449,269,193,262,605,836,375,803,486,631,225,721,622,698,943,682,482,709,672,
765,898,701,176,528,089,051,078,033,600,001,282,985,216,287,203,259,648,683,
376,812,989,037,291,306,075,494,764,582,680,581,639,126,570,298,920,657,047,
309,846,975,474,091,040,426,679,664,743,794,533,216,964,285,564,212,671,744,
264,323,956,061,731,030,501,180,817,280,885,537,768,521,771,283,486,849,801,
929,803,373,047,790,532,047,471,661,551,092,636,344,626,959,996,547,886,208,
382,987,428,662,751,756,463,655,040,734,143,150,600,196,564,320,187,271,277,
752,702,453,874,416,804,659,165,067,659,731,808,227,126,871,011,496,407,692,
540,036,688,907,543,038,107,170,583,674,927,657,551,474,065,404,070,954,264,
599,366,856,736,269,798,981,347,234,481,621,787,933,489,715,289,141,073,998,
630,778,420,990,166,092,696,202,207,465,646,776,171,342,541,928,309,543,565,
937,892,910,034,587,825,928,101,843,791,589,176,886,411,120,073,275,497,748,
004,575,233,062,126,640,038,788,414,113,325,628,044,336,968,917,838,093,833,
606,907,935,028,092,136,864,787,953,733,371,080,935,994,576,482,562,085,976,
453,453,509,965,807,025,792,380,281,783,703,830,455,933,930,646,677,679,538,
157,624,348,760,169,197,625,253,660,101,588,741,310,520,805,655,780,490,979,
006,098,392,201,189,319,878,512,337,637,128,862,420,251,523,644,191,522,503,
117,843,704,212,546,371,620,134,652,453,067,867,613,034,056,369,473,098,933,
457,735,315,822,933,395,973,063,337,961,086,729,156,940,089,650,023,886,088,
061,696,592,427,151,528,865,462,048,198,542,473,654,820,056,725,830,498,694,
845,469,905,019,908,854,565,214,490,225,491,852,245,347,399,534,390,881,361,
615,456,839,687,516,534,040,490,045,307,390,534,190,837,697,247,307,151,298,
222,169,438,289,910,416,754,035,748,942,831,561,952,353,784,631,841,766,615,
975,876,616,596,207,673,103,476,108,352,491,626,913,015,343,808,233,456,108,
860,922,457,651,385,194,714,992,675,793,343,132,360,947,452,017,811,268,546,
869,334,488,843,264,201,001,620,742,334,448,189,034,378,518,589,238,687,818,
369,687,502,970,557,420,980,350,379,439,133,738,536,535,655,349,495,316,450,
602,132,166,115,673,903,964,722,706,357,122,569,496,626,670,897,522,779,270,
876,504,560,420,174,827,952,399,845,329,758,909,867,268,616,095,459,912,303,
630,157,282,954,734,647,528,038,603,931,687,865,182,153,913,052,548,906,135,
887,876,878,069,773,416,271,732,409,781,322,372,189,595,840,745,248,388,795,
908,797,946,465,562,813,666,397,842,650,264,588,123,760,176,890,825,590,411,
647,159,552,209,097,546,582,506,208,000,666,802,767,351,303,579,033,168,350,
603,590,456,716,442,335,554,748,642,990,628,164,463,882,205,919,970,978,679,
722,083,479,294,802,601,373,371,787,694,236,035,848,452,983,148,384,725,809,
188,640,092,418,103,298,019,082,467,497,864,956,960,330,168,251,011,539,033,
267,521,127,994,234,127,845,844,788,368,360,531,455,710,522,150,620,178,866,
676,441,781,193,497,749,046,917,971,340,150,585,421,599,787,425,098,949,650,
329,348,356,122,819,254,451,447,879,184,491,725,423,532,194,149,277,361,280,
799,413,524,005,289,972,134,513,632,103,447,323,560,486,464,105,289,105,750,
365,492,796,039,365,880,453,658,073,243,602,546,333,219,453,360,189,200,758,
534,077,688,942,066,894,714,108,165,140,442,144,033,954,055,129,359,311,807,
556,687,913,153,059,098,782,534,034,576,157,395,490,403,268,899,096,768,863,
997,930,123,156,415,137,319,522,350,318,008,438,744,197,633,818,738,632,326,
706,856,834,755,132,422,579,328,143,929,179,112,608,650,705,282,601,691,801,
584,175,361,156,691,000,038,266,637,786,776,309,617,078,313,732,848,429,219,
994,554,053,471,846,193,236,663,142,880,883,876,014,072,042,329,433,231,893,
891,945,382,949,123,206,312,214,228,866,239,238,400,169,999,887,848,313,584,
688,920,457,641,960,365,127,420,373,801,229,660,285,146,184,743,670,630,880,
099,470,775,651,455,080,591,929,352,852,316,529,910,422,704,744,999,016,327,
565,906,884,457,055,320,782,024,608,555,357,665,222,747,750,938,423,482,037,
479,382,015,482,035,886,416,918,966,328,488,940,959,524,392,830,255,447,393,
434,659,343,892,910,323,990,822,886,286,004,287,712,884,379,019,132,807,748,
043,777,529,371,707,767,863,057,417,364,179,610,177,873,462,111,703,729,652,
616,604,733,936,651,975,760,989,913,780,319,843,133,345,727,564,133,496,433,
682,340,029,581,277,018,885,944,553,741,558,851,909,007,782,634,394,290,139,
309,513,785,536,190,530,428,651,416,581,214,039,339,772,289,350,092,413,352,
754,056,908,890,545,785,355,737,353,356,730,076,515,777,310,183,286,553,900,
350,050,228,636,667,112,516,057,753,542,961,223,243,363,168,622,522,471,344,
064,411,649,323,755,009,168,973,621,206,724,986,399,870,922,640,017,309,550,
422,925,511,434,005,551,593,810,578,253,983,116,378,408,960,505,508,552,288,
495,619,848,447,820,455,346,860,855,854,569,659,640,035,240,402,776,852,247,
517,466,110,949,119,784,677,187,858,796,750,755,440,963,865,900,981,675,292,
856,654,602,557,082,825,824,829,702,472,644,275,744,529,536,965,820,619,224,
688,413,006,427,393,373,897,836,767,426,815,015,432,419,500,083,462,947,833,
088,679,868,628,039,986,232,577,107,832,240,882,763,711,741,342,399,877,039,
352,156,467,928,418,893,355,452,686,372,614,997,252,244,625,655,735,408,269,
514,112,618,728,580,666,287,573,789,687,280,659,851,858,280,857,799,040,885,
712,554,725,528,596,736,631,427,912,179,119,985,182,931,950,048,881,550,550,
484,109,088,603,582,459,682,820,275,392,368,623,046,583,352,379,595,523,304,
397,185,935,916,039,101,383,705,418,944,023,514,481,347,760,511,935,745,485,
232,803,349,461,394,721,702,180,037,994,272,806,489,361,814,997,883,998,181,
881,674,278,972,992,704,480,647,073,337,800,998,545,606,414,395,077,139,283,
306,903,778,199,391,564,992,463,871,026,403,559,240,338,662,445,105,933,511,
051,595,198,623,324,442,704,378,591,482,551,669,618,085,688,169,013,644,361,
662,632,162,738,438,083,990,208,217,713,063,747,024,632,784,511,150,947,481,
577,721,545,639,653,680,362,073,469,776,537,504,202,692,216,535,602,683,124,
887,661,195,276,832,984,985,382,859,817,710,537,245,619,272,241,212,005,623,
970,447,225,827,429,968,770,502,377,887,747,378,829,195,822,304,206,474,386,
155,970,133,278,483,353,631,954,014,822,753,752,895,114,683,827,283,993,416,
284,357,919,237,191,091,251,513,380,817,950,318,749,188,450,572,785,064,290,
460,560,559,805,676,054,050,949,863,752,693,865,173,670,392,262,865,149,229,
680,739,709,291,297,983,035,549,360,445,248,008,121,908,720,097,292,453,215,
752,791,715,177,446,782,728,593,846,602,413,090,637,741,919,559,769,866,510,
850,247,434,164,209,063,523,636,624,256,847,306,064,248,037,783,609,767,847,
222,394,655,663,909,452,303,547,463,525,265,201,743,028,564,346,238,349,841,
805,484,555,284,634,136,600,700,974,902,632,169,535,688,122,273,680,245,195,
212,488,981,963,239,672,352,598,103,071,538,274,685,584,866,390,341,882,548,
741,639,047,503,128,465,698,187,772,557,046,339,556,674,676,850,232,171,662,
160,988,462,271,883,434,746,283,483,157,161,701,064,269,791,226,031,041,547,
974,550,394,079,998,280,824,700,820,707,795,309,398,654,787,912,066,831,448,
808,963,478,275,410,973,876,031,058,802,456,741,942,445,698,976,197,639,330,
024,433,790,529,394,628,289,480,185,644,333,638,732,417,018,341,003,437,126,
394,685,233,743,672,938,476,191,656,146,325,766,862,452,603,819,345,174,573,
481,998,454,121,726,955,285,909,331,549,418,301,913,727,857,364,013,531,002,
716,387,338,990,325,210,261,938,123,769,166,700,144,862,032,337,249,390,608,
600,904,984,884,616,332,569,345,708,562,969,625,498,421,826,419,593,202,344,
310,030,828,706,486,386,129,297,652,015,180,124,361,066,409,087,541,112,994,
191,122,056,838,464,564,898,409,623,188,383,717,238,372,757,968,389,015,742,
307,622,517,555,618,643,624,809,576,419,308,925,503,175,548,351,988,760,498,
382,471,431,574,637,233,081,726,530,107,641,815,913,323,535,143,078,059,122,
241,608,003,346,869,634,933,305,342,023,008,449,518,505,094,566,787,512,307,
309,128,451,755,407,432,894,167,480,940,051,050,619,931,301,188,223,271,422,
106,172,797,432,854,948,883,230,555,855,125,727,487,484,190,195,581,756,441,
425,401,785,664,128,702,701,570,403,907,988,886,621,645,579,075,136,221,165,
565,793,549,836,832,285,619,494,797,004,976,968,525,201,939,480,430,422,541,
312,974,513,660,371,384,614,755,188,110,689,415,090,500,820,831,354,634,962,
197,438,954,045,270,844,475,789,751,715,987,785,793,344,924,176,754,966,775,
832,358,009,101,020,426,003,055,203,568,831,133,354,295,044,638,681,527,932,
662,483,008,811,264,911,472,449,895,684,467,468,953,381,250,785,718,073,754,
332,676,649,542,561,123,103,474,708,702,854,373,014,029,613,516,459,037,456,
393,499,128,358,151,722,862,210,757,891,853,887,775,297,090,064,682,266,189,
481,339,758,743,856,175,526,756,229,143,547,994,727,445,899,570,642,006,112,
855,790,310,316,498,306,117,389,070,155,631,962,409,521,446,862,407,172,932,
092,716,894,900,055,910,663,845,064,390,939,874,083,113,165,627,431,787,468,
326,950,434,392,441,140,216,432,086,195,319,624,031,967,550,316,291,838,622,
750,119,553,451,619,693,296,240,750,920,319,143,348,621,043,778,112,687,778,
514,428,366,451,422,636,203,647,498,126,286,931,455,826,566,277,037,679,385,
775,250,022,666,361,323,817,252,791,098,818,984,969,835,736,752,328,751,564,
993,630,262,548,852,161,349,740,280,742,252,186,792,444,726,936,462,558,308,
248,606,431,465,398,792,834,936,320,795,206,807,700,843,418,918,727,723,232,
574,335,138,307,099,054,279,420,346,751,812,308,000,022,401,996,040,057,872,
021,394,396,707,955,550,283,802,599,090,797,806,878,651,528,811,613,996,001,
873,060,803,721,267,833,522,177,170,253,702,180,595,712,037,376,691,349,878,
202,637,452,856,628,239,888,356,246,802,809,659,797,807,667,780,685,917,837,
057,854,273,593,821,407,457,086,900,547,333,083,763,858,157,813,081,953,408,
083,818,392,313,403,721,342,463,128,296,219,189,019,271,446,353,263,871,551,
287,699,765,762,324,275,275,130,329,577,558,044,784,050,016,286,460,424,139,
017,878,840,660,398,951,008,802,144,814,640,824,259,597,463,282,248,881,032,
209,391,848,700,199,030,613,145,150,804,219,979,792,213,599,199,069,198,859,
138,522,009,756,819,314,891,731,726,901,081,977,226,269,972,390,550,376,889,
615,694,866,360,293,611,408,295,175,627,613,429,730,483,867,656,398,803,704,
700,575,600,138,563,944,174,180,301,750,935,676,068,073,772,269,366,560,519,
572,202,817,027,022,210,956,409,555,285,891,559,484,883,358,441,885,211,907,
808,694,062,404,346,718,945,385,345,748,096,377,440,954,232,331,423,823,394,
086,044,864,789,255,236,424,702,291,931,020,096,182,592,569,378,174,988,024,
722,561,049,657,671,691,257,441,295,766,458,078,051,203,844,562,730,231,137,
620,188,156,911,704,288,268,784,703,373,052,931,528,979,440,901,903,013,974,
676,288,027,401,427,628,268,055,042,621,021,209,365,289,197,755,614,573,905,
285,945,398,232,884,850,120,598,383,492,720,835,079,627,267,948,912,736,168,
961,486,322,483,898,709,308,077,073,341,666,233,918,195,531,817,321,951,723,
677,045,832,143,356,250,586,190,172,024,211,305,870,353,063,393,039,038,070,
744,690,061,463,769,552,280,268,582,954,622,422,627,863,313,465,851,349,174,
832,160,716,851,842,809,000,190,895,255,975,109,123,105,969,018,198,020,790,
668,095,504,551,346,647,508,767,833,143,021,314,542,262,979,184,403,399,165,
957,337,076,806,927,314,377,459,305,959,312,863,816,741,117,988,536,927,592,
419,936,621,980,628,917,123,671,284,395,084,192,580,093,277,086,548,437,401,
784,650,879,720,983,712,312,572,502,523,401,888,690,351,735,062,660,538,301,
498,895,620,043,629,142,395,534,003,102,823,388,508,135,513,890,729,768,719,
674,158,899,348,550,669,072,579,411,650,054,100,697,717,635,088,205,294,682,
220,187,991,091,312,985,834,614,815,977,649,152,714,939,998,830,048,581,609,
660,891,412,143,705,903,011,595,099,174,499,797,460,542,098,843,322,009,124,
777,427,817,265,034,277,091,918,785,305,089,674,842,737,711,634,171,236,703,
835,042,950,463,754,889,428,624,266,835,628,842,381,311,693,465,724,822,379,
024,737,137,559,264,019,907,273,114,061,314,625,987,743,077,757,794,637,163,
648,207,984,916,197,522,357,379,398,134,335,013,949,093,497,979,364,686,458,
652,678,443,359,115,456,151,388,023,914,828,526,630,070,756,847,961,776,354,
648,769,962,817,628,198,713,809,836,441,068,466,889,823,539,756,136,794,218,
206,755,884,044,041,383,557,802,216,102,824,270,217,419,687,655,854,712,002,
574,719,929,691,606,693,969,299,898,050,147,583,754,369,305,033,571,529,883,
767,222,644,106,216,061,273,217,735,157,059,545,600,391,498,023,289,989,566,
311,897,323,857,467,039,081,216,386,791,232,483,091,583,202,516,664,977,067,
591,247,777,975,577,096,650,879,989,613,054,827,920,903,841,585,286,954,894,
692,476,509,627,309,813,828,622,526,747,331,588,925,000,405,842,495,400,184,
037,406,656,355,717,381,341,092,024,731,948,459,259,706,438,005,503,769,338,
071,459,598,405,930,065,720,359,860,286,679,851,584,584,112,330,334,657,628,
349,507,740,592,078,606,152,588,268,250,867,250,716,983,442,791,631,967,121,
201,803,531,233,612,648,732,786,133,498,212,668,020,731,661,456,388,442,429,
499,344,396,675,902,584,819,138,055,225,066,736,785,925,179,358,527,146,300,
743,844,285,143,869,513,679,577,089,976,641,859,001,666,520,020,443,594,767,
545,364,019,571,486,095,081,734,914,438,550,719,703,520,134,000,763,615,282,
078,624,548,487,261,066,149,654,872,474,005,176,185,894,577,445,001,100,130,
860,890,712,431,620,066,066,955,193,845,536,757,158,459,295,591,540,078,961,
931,343,143,474,704,414,763,719,289,458,430,004,651,936,016,815,926,043,198,
969,318,698,166,137,732,356,681,417,469,556,626,140,992,608,318,742,288,522,
251,308,559,339,940,080,303,714,027,131,808,689,359,645,896,757,865,750,213,
945,968,549,170,639,814,069,242,605,623,394,577,750,147,628,413,382,505,563,
023,392,730,769,752,561,581,130,656,207,512,304,893,026,085,120,932,673,050,
627,702,267,796,586,452,551,099,956,961,828,632,061,316,435,897,145,333,351,
654,349,001,439,768,597,622,573,469,849,329,971,585,557,198,203,430,559,269,
345,317,402,185,624,131,565,519,425,378,395,932,179,155,955,430,143,216,663,
938,137,568,650,543,239,563,436,069,399,605,396,824,887,248,259,815,326,767,
932,100,763,942,657,428,307,675,610,356,042,294,022,247,235,169,446,460,095,
935,343,881,100,692,303,984,830,407,251,829,247,268,713,785,451,921,209,879,
090,768,132,233,920,610,597,460,099,646,798,944,342,330,277,136,914,830,404,
804,993,191,754,285,723,113,775,880,747,118,553,377,835,377,680,077,768,567,
847,879,906,613,168,119,106,822,818,441,903,292,485,677,631,384,160,863,911,
273,388,036,556,779,957,948,636,016,958,421,503,768,487,502,839,671,439,511,
717,266,365,368,568,160,829,077,058,684,083,364,265,039,009,387,825,723,016,
375,583,046,322,044,200,859,534,835,735,769,290,346,618,169,964,188,606,552,
703,111,837,392,294,552,207,834,881,132,168,656,203,452,078,744,498,061,092,
208,289,218,469,634,570,229,183,072,001,940,077,271,268,696,756,925,100,243,
388,785,023,232,906,327,963,501,054,102,092,776,874,091,569,518,108,657,981,
331,076,154,987,643,600,556,536,855,129,980,879,667,963,114,691,910,972,335,
321,960,489,682,219,103,301,290,478,179,353,781,150,755,811,162,640,333,142,
805,001,272,907,268,096,388,435,184,902,082,211,524,810,522,857,553,111,880,
805,978,981,037,131,727,285,691,601,743,378,544,966,458,067,669,161,849,820,
563,036,724,511,830,724,868,759,533,539,998,127,666,942,646,547,193,032,437,
697,428,864,974,198,957,015,300,651,351,283,811,820,773,414,629,021,433,798,
136,511,100,847,838,445,408,974,617,199,451,150,461,344,228,821,373,646,070,
608,561,704,289,613,816,285,814,535,083,759,063,295,524,749,211,461,553,130,
722,325,248,829,315,257,936,633,416,815,528,829,442,462,829,149,624,800,594,
562,662,878,542,956,872,999,022,251,795,435,405,854,598,670,450,273,192,841,
360,787,665,003,489,888,726,775,430,928,451,077,705,432,550,671,449,479,757,
798,209,504,893,299,727,246,627,891,230,343,119,833,171,341,175,209,552,085,
834,447,135,168,201,222,387,944,567,872,922,117,992,132,398,826,735,108,061,
621,857,640,281,508,089,688,388,296,878,709,832,860,863,575,280,965,038,294,
679,107,081,694,007,214,138,605,506,479,105,796,106,086,775,083,404,327,488,
374,169,766,354,010,292,208,254,054,563,575,588,684,101,750,021,210,889,410,
861,999,747,225,216,237,765,911,974,897,365,277,521,156,907,310,039,947,096,
694,528,051,235,359,820,056,516,681,345,863,942,194,742,924,941,944,400,226,
166,802,689,881,084,781,203,385,814,366,562,361,823,400,181,368,028,701,921,
567,492,395,728,577,744,611,974,809,893,508,819,529,409,476,991,892,208,752,
638,588,631,143,619,625,512,040,416,574,924,810,817,441,665,716,626,523,116,
978,929,504,266,286,262,064,319,016,046,998,486,517,554,564,433,655,206,811,
770,986,350,989,005,748,041,348,622,661,146,496,285,706,181,343,614,156,588,
221,127,691,015,106,598,629,272,294,212,940,779,613,781,914,236,917,138,927,
203,772,501,230,063,039,139,265,555,461,200,343,621,778,316,254,714,294,052,
357,965,304,021,885,573,276,339,280,736,773,394,549,299,995,952,786,515,140,
061,167,943,098,645,797,826,087,486,635,935,228,041,357,659,245,769,917,694,
626,176,157,156,340,849,590,142,606,176,794,133,407,790,181,260,468,985,740,
666,596,501,381,221,603,844,593,072,309,660,108,984,417,673,733,938,475,893,
612,606,631,569,944,016,299,486,490,082,794,250,846,135,439,503,353,705,253,
517,455,155,632,502,540,039,602,930,471,808,362,014,522,755,208,817,237,692,
074,451,882,010,613,528,329,373,279,555,843,850,707,930,637,086,799,380,849,
866,459,605,716,631,613,590,572,602,383,393,035,144,689,353,836,784,736,540,
627,771,244,732,978,851,688,681,216,115,307,155,636,773,255,150,959,056,456,
745,758,015,734,286,874,739,459,678,639,795,089,778,721,332,114,930,532,111,
720,524,588,885,278,407,580,725,426,653,089,404,354,995,395,912,568,134,809,
177,155,187,220,920,840,570,181,955,459,543,527,803,514,271,814,067,454,183,
547,531,369,349,627,778,747,112,293,889,302,514,772,363,708,680,768,707,706,
253,283,638,902,562,472,984,482,886,598,360,501,954,974,318,480,604,104,142,
444,181,240,852,949,056,760,025,115,705,400,276,114,519,572,949,824,445,261,
645,203,360,976,556,100,716,630,314,980,234,662,472,401,503,965,346,237,443,
307,901,041,162,831,099,369,409,381,437,532,277,020,760,465,529,078,236,811,
180,375,200,366,742,213,975,661,950,656,021,091,241,928,844,018,432,791,850,
152,402,457,225,506,646,353,223,170,740,609,398,217,695,078,307,847,658,251,
507,240,826,842,696,321,995,732,153,500,387,223,428,352,145,662,421,588,925,
301,568,963,335,916,091,890,475,869,919,680,818,663,833,839,954,356,562,034,
787,358,802,028,261,382,749,934,492,617,784,599,049,557,694,800,151,859,393,
237,154,378,713,467,488,199,313,265,705,666,450,928,974,818,186,074,670,007,
331,907,427,337,602,812,996,964,700,567,075,513,953,717,814,712,752,578,406,
346,456,155,594,013,022,993,040,890,094,021,001,891,281,078,585,340,894,730,
236,109,618,302,226,327,990,449,846,376,562,030,382,648,776,251,078,530,816,
666,103,036,999,227,056,699,990,006,812,080,620,304,571,399,016,367,126,601,
620,400,612,232,942,404,692,797,148,967,703,148,704,926,264,213,960,532,588,
882,315,173,706,441,761,789,168,856,988,481,677,221,041,735,319,230,339,645,
459,352,261,813,567,328,263,925,823,805,938,791,166,480,318,851,647,741,370,
215,833,210,419,377,101,964,964,166,171,656,615,595,216,317,095,761,443,468,
174,840,881,247,195,063,587,567,014,664,754,431,401,164,362,691,809,434,039,
814,568,180,154,072,896,788,624,114,237,828,261,862,740,907,561,884,032,540,
160,941,880,794,121,967,443,791,569,300,464,902,845,092,854,248,904,484,940,
392,565,033,794,522,063,734,078,332,533,027,238,328,494,471,212,174,073,499,
040,754,781,276,432,213,107,378,983,029,833,337,694,993,297,161,742,133,180,
753,178,219,515,557,905,142,814,604,724,788,586,658,820,022,020,199,729,943,
231,270,215,496,939,780,687,748,040,142,887,495,531,453,775,970,845,012,501,
895,250,209,802,012,773,203,746,786,801,596,840,629,595,631,574,328,198,023,
558,121,729,701,072,620,068,889,709,201,543,499,476,064,688,517,691,564,730,
142,088,748,815,523,223,976,052,746,144,654,844,009,709,823,619,372,733,916,
229,892,884,049,226,956,816,779,211,781,527,436,093,118,159,344,853,459,252,
426,640,118,963,161,676,001,463,408,402,110,387,006,225,824,266,543,186,800,
814,785,224,228,338,781,140,733,134,626,833,077,675,983,818,837,248,936,894,
780,471,119,164,137,926,243,038,847,572,921,209,397,666,515,450,141,556,011,
393,716,107,226,751,739,954,444,104,561,063,815,620,182,810,416,779,181,802,
618,209,660,084,240,295,406,679,205,155,388,946,061,869,458,208,600,650,076,
842,737,627,385,902,299,352,022,868,136,887,023,362,445,547,027,357,939,321,
109,365,383,485,272,593,564,018,646,627,817,887,759,806,086,940,854,773,026,
016,084,034,800,270,711,723,318,486,974,586,010,262,942,219,534,799,181,630,
449,439,986,048,644,648,000,466,814,964,406,730,730,660,111,668,003,870,028,
750,874,187,129,618,747,176,895,857,632,278,660,795,659,638,273,727,857,642,
172,402,170,992,243,388,706,491,623,907,332,345,314,059,636,353,695,914,564,
688,829,242,342,916,980,355,468,867,732,724,837,125,418,707,503,004,832,040,
381,851,185,505,450,124,951,075,190,348,150,215,801,686,289,334,014,189,844,
948,126,568,330,854,877,897,725,020,198,424,178,104,152,070,056,952,440,821,
735,566,143,222,070,515,156,305,450,986,895,880,649,401,705,105,104,499,708,
162,450,338,464,630,610,378,205,723,540,371,387,415,272,718,034,003,383,028,
242,647,264,748,364,856,124,640,756,453,059,585,553,736,958,950,406,760,747,
452,760,574,885,380,040,021,339,606,566,007,724,845,071,085,414,977,044,748,
347,184,811,705,481,458,795,118,810,463,728,965,922,547,541,724,980,179,319,
749,462,272,704,924,519,259,112,125,183,381,063,117,169,629,224,118,434,117,
170,556,488,298,701,103,092,295,685,303,835,472,259,670,500,517,165,596,136,
895,069,580,247,388,480,339,609,869,832,304,139,171,170,242,408,746,363,517,
116,518,467,177,647,049,022,878,133,480,722,788,355,073,597,134,739,118,470,
372,353,768,976,060,817,700,685,938,747,461,617,819,183,423,553,657,083,633,
106,432,168,435,299,023,348,106,640,490,880,204,675,298,970,246,793,622,916,
765,775,535,982,953,245,070,500,415,663,102,173,667,680,909,156,923,813,337,
922,130,413,429,132,371,743,360,239,129,235,099,413,051,117,356,669,410,474,
815,022,423,573,587,062,609,135,287,300,065,529,367,121,458,308,048,334,827,
128,148,524,436,433,999,575,970,779,823,538,442,439,392,405,626,186,193,761,
871,000,815,358,403,265,231,831,577,441,686,199,046,856,576,468,313,146,080,
255,939,988,399,898,992,382,510,037,114,847,722,566,594,072,917,690,406,147,
745,475,317,031,960,802,195,006,148,968,689,473,832,778,462,909,082,216,495,
928,722,414,126,167,485,857,122,881,667,369,988,566,204,856,443,936,039,071,
411,080,674,295,666,802,785,348,298,376,020,670,827,370,008,176,811,858,558,
239,797,133,694,436,657,090,137,659,893,280,379,714,173,603,351,700,561,224,
858,508,219,109,746,955,803,902,302,006,665,304,948,401,408,880,259,394,288,
396,767,487,753,010,113,155,109,948,162,226,441,063,600,413,869,471,356,893,
778,994,421,471,264,373,939,111,893,120,498,427,482,352,741,358,458,185,513,
011,849,052,268,441,244,966,931,761,260,761,363,753,230,719,888,830,824,136,
800,415,459,387,189,079,629,800,867,789,364,832,616,755,150,973,005,584,161,
403,281,361,946,329,650,485,922,407,864,534,885,308,708,032,783,138,606,591,
170,533,064,510,591,736,826,379,878,572,934,886,848,644,634,623,643,030,137,
215,062,935,359,480,826,738,790,304,438,854,503,398,548,691,481,541,136,770,
071,623,374,535,661,647,883,685,826,433,830,598,425,740,412,600,557,349,832,
689,345,520,310,353,161,175,763,967,650,698,458,348,477,712,942,730,715,078,
171,508,914,807,703,870,718,739,269,952,467,030,014,617,301,536,437,960,042,
805,088,173,517,370,511,604,066,003,147,883,588,640,684,948,291,460,072,660,
368,814,082,035,048,891,472,280,736,250,903,907,731,539,324,533,725,395,070,
169,490,968,549,308,283,518,703,073,270,039,063,327,253,788,300,793,410,095,
723,397,195,152,639,329,918,631,655,079,145,390,312,727,580,462,529,831,658,
449,507,590,267,422,048,415,985,584,465,243,646,868,618,548,235,648,331,573,
718,545,182,618,887,906,335,301,943,558,069,862,745,213,652,103,703,656,574,
327,798,772,339,034,872,282,340,087,751,795,083,580,404,229,366,396,845,248,
504,813,752,669,876,513,189,235,326,354,700,079,080,163,107,705,731,841,240,
528,815,241,803,273,547,809,194,685,422,155,074,578,410,995,246,479,522,451,
727,892,748,180,305,877,114,985,143,574,049,593,856,333,564,554,444,720,187,
531,417,851,556,589,097,874,446,792,673,005,279,331,677,608,211,486,782,381,
733,607,589,506,758,337,518,184,369,911,106,966,551,375,991,629,070,852,866,
558,899,203,928,054,654,078,471,360,169,335,763,804,592,265,343,193,752,316,
365,392,332,636,541,296,262,784,982,733,664,851,564,474,654,275,518,504,490,
539,254,903,531,636,899,225,828,316,362,557,909,100,737,379,066,704,030,085,
079,223,009,540,056,408,327,780,740,447,710,543,274,468,000,459,266,449,366,
043,701,100,710,199,876,981,393,646,845,674,024,149,284,230,835,764,563,624,
352,465,215,091,982,397,065,318,490,716,887,008,177,252,271,797,496,064,127,
962,883,488,183,729,482,033,646,312,026,865,685,605,372,631,914,282,920,128,
162,479,170,614,264,249,949,740,271,035,650,440,818,281,608,181,391,235,887,
613,465,998,153,096,033,561,587,452,974,440,480,414,398,792,912,762,565,666,
187,989,303,343,627,581,541,503,067,807,017,920,800,281,448,773,759,642,566,
432,169,716,374,474,638,391,095,504,855,435,963,566,098,658,408,603,590,297,
414,378,770,397,242,196,276,092,588,440,639,092,485,402,620,671,066,643,685,
259,730,870,938,126,428,891,027,751,322,762,709,399,082,701,618,695,744,281,
740,508,254,894,114,595,655,567,878,113,113,864,196,426,119,026,955,513,027,
654,380,461,864,263,285,260,232,558,759,478,820,340,564,281,954,287,919,798,
510,343,248,473,058,999,477,004,880,874,202,249,147,124,837,695,860,545,639,
732,981,202,035,882,140,092,507,781,136,223,221,114,707,296,591,638,843,543,
956,479,628,351,530,161,637,677,648,535,524,906,837,620,505,876,692,655,181,
913,688,646,683,194,509,399,242,518,951,477,902,826,880,850,177,529,615,612,
168,923,580,987,501,694,744,396,105,778,498,040,991,692,085,990,636,141,159,
731,523,008,145,820,516,987,398,126,571,247,289,321,674,757,272,324,738,398,
391,418,583,548,876,415,058,278,490,591,281,960,104,094,842,669,041,608,783,
640,309,883,257,153,749,470,088,197,539,769,470,571,393,303,997,788,070,379,
560,811,415,871,270,897,988,469,132,892,303,965,086,599,073,114,440,509,337,
743,402,924,128,115,818,978,449,056,545,490,463,770,527,253,501,052,578,626,
827,967,153,008,587,438,703,999,890,875,638,720,352,688,810,743,344,526,686,
228,281,755,747,261,620,310,832,420,318,424,759,296,745,942,034,761,343,390,
849,451,198,285,918,641,257,635,153,934,117,780,725,936,207,778,869,889,749,
994,557,861,065,565,117,274,008,576,169,145,001,744,388,120,792,023,671,751,
375,876,774,212,820,226,335,807,474,435,905,135,456,803,069,642,876,758,948,
180,039,358,103,880,843,384,454,775,361,170,216,079,429,086,416,348,026,476,
189,377,582,321,428,043,478,047,638,604,917,856,219,739,046,623,987,574,749,
274,551,957,650,468,513,902,003,243,431,619,295,842,835,418,778,179,593,867,
794,197,832,748,398,838,636,284,164,627,303,326,329,121,083,708,950,528,958,
543,826,681,253,024,065,836,118,947,007,823,051,277,544,618,318,644,726,622,
400,337,349,297,956,880,237,878,486,021,391,055,859,403,458,657,877,999,257,
229,132,113,135,436,289,469,202,859,065,451,334,267,183,208,695,009,871,355,
639,306,078,735,808,155,604,592,265,525,950,324,393,874,029,142,436,955,280,
483,287,111,713,603,655,412,154,803,699,979,353,512,485,339,414,904,702,327,
861,912,386,031,281,228,375,888,416,616,096,667,534,508,093,681,763,795,246,
109,073,409,688,952,403,635,763,906,092,805,867,615,027,137,901,142,009,859,
667,432,457,142,494,494,017,184,503,596,960,000,440,921,185,288,115,880,792,
667,029,484,123,632,939,080,319,593,713,087,970,579,713,041,963,086,675,955,
202,294,278,341,206,244,060,716,105,680,677,038,893,054,091,757,181,601,268,
581,029,057,404,218,483,241,365,993,319,066,146,481,905,187,764,980,512,412,
425,017,691,678,626,157,358,357,808,202,652,242,924,151,251,981,821,882,593,
482,732,781,360,998,132,631,530,647,163,184,856,089,404,072,181,123,427,022,
994,869,838,537,533,195,223,039,323,178,120,599,808,225,077,820,153,036,972,
433,890,610,663,941,878,778,714,847,589,463,264,232,964,772,075,419,591,621,
167,277,054,656,233,133,395,406,532,250,008,256,037,871,262,893,407,756,334,
206,080,881,670,495,564,336,139,612,551,600,585,769,073,991,889,569,537,722,
733,316,446,688,592,659,601,466,339,796,326,889,473,290,952,453,610,930,819,
114,594,461,155,091,121,126,452,408,889,436,031,718,475,475,422,512,153,264,
668,931,567,760,916,766,924,915,169,940,823,492,184,338,442,931,835,372,411,
148,512,867,083,239,589,491,454,582,875,036,515,324,344,644,221,236,459,389,
708,523,819,873,862,170,231,999,751,100,324,277,391,803,408,558,898,926,563,
783,385,347,114,209,534,131,073,358,563,819,945,706,653,943,532,447,829,801,
890,986,264,090,451,000,313,356,123,807,120,424,555,570,165,671,831,202,271,
908,283,055,332,616,472,173,556,520,432,363,286,800,568,762,304,829,392,739,
815,434,373,781,084,574,921,510,442,207,148,755,941,070,915,815,490,308,595,
719,247,182,564,116,060,208,168,568,143,401,605,562,759,175,734,077,253,821,
545,967,820,721,470,529,226,802,282,470,301,743,518,321,034,547,318,029,523,
134,901,483,249,944,771,748,073,626,692,449,230,983,105,596,412,099,231,757,
918,677,249,193,349,780,437,352,297,967,807,830,624,249,213,951,202,875,629,
501,703,217,409,100,919,210,930,466,842,333,474,654,692,371,884,122,818,811,
775,106,311,622,074,677,338,628,391,455,791,068,566,946,714,100,388,025,113,
443,113,790,503,626,192,322,988,506,574,256,103,470,087,926,023,358,287,699,
479,009,323,159,279,806,384,595,594,469,883,700,434,387,245,663,662,555,624,
940,726,081,299,422,177,701,719,264,571,192,104,530,713,186,515,410,057,617,
007,189,641,063,019,684,492,965,346,228,717,001,669,489,874,880,926,449,440,
133,403,596,069,547,171,662,401,428,096,939,511,711,222,289,400,832,529,790,
001,866,177,155,247,940,265,068,544,502,572,847,597,957,826,754,690,220,143,
557,556,685,029,412,399,838,357,809,794,069,891,117,471,399,809,174,073,415,
943,457,476,361,143,578,137,910,034,098,684,700,954,369,862,433,005,432,431,
862,712,434,869,671,186,475,740,610,911,469,472,088,963,302,677,516,945,756,
492,135,938,772,908,580,536,410,923,484,683,160,049,790,896,382,844,530,753,
749,439,277,095,944,505,063,247,306,901,100,976,918,872,421,908,616,301,682,
561,714,150,027,853,276,797,961,272,233,046,391,323,126,514,088,047,149,772,
476,329,487,193,303,977,838,592,007,142,499,073,130,691,799,495,610,739,895,
383,331,609,859,303,371,579,450,560,082,481,555,733,963,612,966,852,352,718,
454,269,132,963,360,406,245,326,449,873,796,703,858,301,745,360,607,453,248,
444,072,644,452,540,845,761,471,378,397,708,788,342,302,338,294,253,410,257,
006,250,919,162,459,784,719,278,237,656,999,539,787,205,738,787,445,398,124,
055,119,086,563,937,305,394,414,045,468,605,061,825,662,892,208,610,594,156,
583,292,243,628,983,159,781,773,728,133,535,445,192,017,770,828,236,243,086,
952,056,358,565,968,112,018,686,970,656,389,842,306,270,175,091,016,216,373,
081,352,056,881,926,431,427,940,124,693,425,705,625,036,411,505,259,020,611,
741,738,220,011,125,461,734,229,489,523,666,300,627,576,854,023,979,809,381,
831,719,312,225,848,223,836,395,582,375,816,528,227,320,978,697,645,459,308,
823,596,184,964,453,573,430,528,872,406,991,887,065,316,723,542,725,396,462,
263,802,916,497,164,245,374,643,427,454,426,705,559,960,203,293,912,688,121,
867,057,812,908,610,043,914,082,928,217,814,506,313,505,586,151,986,384,753,
837,329,526,033,131,733,303,449,013,125,008,354,574,932,696,121,053,813,067,
587,257,389,705,618,429,762,187,952,729,490,882,547,304,804,192,624,590,892,
521,825,933,388,681,214,547,427,197,017,762,775,846,511,733,347,694,964,594,
308,596,124,796,603,257,437,368,934,977,405,570,304,667,457,473,011,635,557,
109,307,275,828,300,971,806,314,834,850,320,225,505,744,309,475,970,453,383,
725,362,637,180,841,932,064,468,488,107,203,811,728,565,519,055,609,924,806,
410,132,817,200,418,607,953,216,527,643,642,724,019,204,020,006,888,502,658,
380,700,695,377,706,256,548,700,329,150,505,545,371,906,790,979,513,695,910,
541,588,244,762,461,145,533,620,644,331,364,335,763,030,604,215,676,614,100,
026,661,379,480,100,430,107,098,886,485,480,721,085,827,119,757,151,047,145,
407,180,947,074,619,205,340,522,343,744,309,930,869,777,348,071,582,634,439,
155,538,227,966,002,700,393,369,583,094,358,696,203,872,186,396,345,173,698,
013,633,780,674,347,308,714,896,869,945,923,677,786,441,802,099,304,639,474,
387,212,927,775,484,736,923,349,487,587,467,343,005,229,377,279,452,416,395,
672,924,768,811,865,834,286,767,691,608,301,891,366,260,719,076,496,996,930,
349,575,117,758,694,886,833,934,446,360,426,728,781,293,705,200,571,222,108,
611,238,698,700,359,184,644,640,062,566,607,087,164,218,518,159,462,353,150,
381,375,986,138,819,237,612,176,595,842,439,633,682,805,702,502,203,648,967,
686,099,185,027,858,270,390,900,605,314,740,815,232,997,252,810,327,898,006,
896,992,796,280,822,825,658,265,071,937,303,905,172,086,664,277,596,913,876,
939,691,667,804,279,428,430,839,201,695,162,276,731,686,038,518,750,312,439,
663,439,213,171,897,706,760,903,547,563,932,060,447,012,055,171,948,040,423,
662,783,250,682,092,451,546,132,072,719,255,918,534,658,225,968,395,457,750,
576,976,064,489,237,851,762,806,192,953,185,881,304,980,877,492,766,941,228,
729,323,017,780,663,795,891,445,429,559,214,738,770,934,164,567,129,399,587,
059,363,459,003,570,963,946,061,495,382,336,399,377,681,672,539,800,121,031,
537,251,850,888,079,926,598,213,268,168,469,389,350,858,155,316,020,651,722,
734,313,784,419,436,938,358,348,749,100,507,843,107,239,789,897,546,722,894,
758,057,783,409,399,098,230,980,568,915,453,448,753,136,695,599,682,425,102,
108,497,100,928,298,634,295,360,008,789,717,566,746,856,838,904,909,943,978,
210,282,666,465,084,294,993,241,717,343,977,619,187,203,451,700,482,170,376,
133,901,125,656,706,820,822,554,156,182,507,532,502,506,119,541,446,623,569,
440,753,890,111,304,569,965,193,895,388,437,444,783,837,519,208,793,231,344,
792,110,261,207,502,505,882,916,889,695,242,677,422,699,307,141,879,332,295,
249,294,501,994,949,015,120,929,261,912,418,271,845,880,824,863,096,165,342,
032,171,139,635,805,418,652,039,926,008,270,610,711,036,861,878,997,653,732,
359,924,324,512,738,712,068,069,319,469,427,270,154,045,329,859,040,455,505,
763,135,150,657,981,342,485,882,703,901,044,179,017,019,138,927,593,657,700,
053,245,629,087,293,906,503,889,344,536,835,768,687,191,647,091,482,334,258,
185,199,645,905,722,903,036,831,776,845,252,613,608,064,851,521,202,821,822,
359,598,544,435,788,749,223,485,489,694,582,155,926,195,723,741,818,568,634,
041,742,530,858,735,347,920,948,369,045,199,319,258,360,575,806,205,900,589,
819,778,656,185,191,068,224,578,786,994,525,921,506,312,165,106,801,501,408,
308,004,102,801,150,756,068,768,930,359,446,300,764,673,161,907,573,700,966,
875,142,564,406,188,042,798,731,461,930,009,608,075,456,763,929,106,088,501,
603,094,620,585,565,271,196,907,514,955,048,954,872,551,923,308,542,394,682,
083,632,976,927,628,974,894,774,246,989,341,570,252,157,387,853,569,090,114,
986,086,909,052,096,671,303,209,298,131,187,571,982,627,769,374,662,897,353,
659,077,342,414,300,772,362,172,944,311,803,512,393,543,937,005,849,906,652,
734,416,905,473,653,560,969,843,184,575,644,655,612,167,203,232,213,257,830,
093,540,660,939,072,707,057,680,241,265,426,440,668,826,284,341,401,578,174,
315,594,894,084,551,694,919,165,962,668,374,043,338,619,697,059,697,174,635,
929,986,521,899,584,451,118,263,244,544,131,096,192,155,585,664,115,463,355,
166,280,774,941,903,257,196,992,812,189,956,571,317,905,792,557,570,210,675,
796,875,505,936,742,252,319,938,888,050,762,667,258,889,943,433,821,219,749,
416,079,057,475,735,606,304,255,601,068,194,769,322,658,431,034,559,795,002,
208,309,943,326,929,210,476,673,920,886,814,415,610,240,439,501,323,605,017,
613,649,206,358,102,818,352,894,968,090,204,244,774,141,871,097,403,899,313,
167,869,758,429,111,062,147,581,844,113,042,928,857,902,800,910,485,228,444,
094,436,848,358,421,783,792,632,340,609,877,908,947,737,803,797,955,454,456,
494,529,789,500,629,718,492,193,400,829,261,115,845,241,045,663,772,645,899,
573,344,816,447,641,609,896,043,677,353,429,988,407,729,420,662,638,834,099,
533,135,089,364,416,447,841,265,339,895,308,528,845,147,893,797,360,683,993,
163,891,854,764,393,261,242,268,125,649,523,815,931,213,186,988,136,329,064,
276,606,674,390,749,276,570,757,500,029,829,343,529,068,456,611,125,403,874,
803,685,603,089,411,167,003,031,238,752,053,162,910,844,108,073,688,894,656,
313,905,587,100,928,819,154,859,433,140,335,357,916,816,001,394,654,952,693,
339,966,720,792,871,563,107,196,516,367,504,309,326,259,209,919,121,013,063,
633,855,648,943,364,749,819,209,976,737,955,129,969,903,901,807,600,127,451,
461,252,932,193,811,502,422,986,498,237,537,827,599,215,312,586,829,944,702,
134,103,009,916,924,310,333,007,134,766,727,558,649,807,509,857,795,648,734,
675,814,765,323,949,453,100,225,545,037,960,806,967,018,838,484,130,552,120,
145,896,001,318,775,056,002,467,585,658,063,911,571,216,747,574,520,368,113,
331,560,466,882,486,817,478,164,492,939,304,735,861,484,405,463,390,083,721,
985,655,177,635,452,112,584,712,373,469,019,464,622,537,119,837,947,576,774,
053,425,892,555,315,007,526,199,945,234,117,222,636,748,260,466,161,803,062,
620,527,141,339,831,315,010,875,815,347,008,328,787,176,273,094,038,712,814,
869,831,315,203,050,311,103,601,442,545,580,905,478,732,799,390,769,204,439,
031,025,395,210,980,335,720,452,828,000,381,277,415,406,901,597,297,017,537,
445,525,915,031,695,223,151,629,222,693,650,254,536,969,060,485,592,638,903,
768,279,428,943,985,532,722,491,059,491,775,478,990,747,212,984,029,811,969,
729,219,220,328,312,544,837,176,257,919,198,294,967,786,779,221,550,311,190,
662,170,685,081,560,089,998,664,579,257,382,569,335,573,242,942,915,283,571,
898,042,366,474,096,035,424,647,804,366,419,756,527,827,340,854,564,093,995,
888,191,376,066,133,137,195,659,016,279,150,502,083,283,099,330,618,734,495,
816,600,445,835,110,595,797,873,046,722,870,870,859,741,335,144,671,105,980,
198,461,853,568,584,845,590,984,322,372,911,129,582,490,488,945,894,732,519,
589,862,043,323,960,991,744,501,707,791,744,132,659,848,473,480,059,630,586,
237,786,947,471,913,343,815,116,824,082,959,645,976,425,629,457,685,999,360,
507,257,525,460,547,953,238,486,198,034,920,288,509,106,231,312,944,830,704,
458,536,312,682,479,033,312,561,473,517,853,577,010,922,462,805,925,904,065,
007,480,079,993,936,384,393,472,801,078,551,248,492,248,818,680,330,525,699,
841,904,540,594,933,224,610,726,634,032,877,038,312,890,882,143,969,202,024,
279,315,223,187,728,588,621,221,021,823,712,959,802,670,435,852,180,048,189,
194,998,517,872,189,139,749,210,238,025,410,940,331,981,265,764,374,341,635,
516,534,364,346,082,922,356,860,904,608,537,662,441,122,584,201,550,514,118,
068,358,047,842,081,701,227,436,148,008,412,430,346,659,754,993,260,276,926,
289,170,307,778,519,564,774,826,002,403,552,157,362,768,413,229,680,096,512,
636,231,632,589,412,003,348,961,913,708,169,633,943,280,560,946,642,042,690,
901,850,516,714,409,599,150,596,318,299,247,505,020,041,089,358,996,883,426,
383,624,861,893,208,506,855,192,760,959,581,979,203,357,443,087,416,516,897,
975,748,251,900,934,901,662,535,518,946,379,591,181,829,482,274,587,767,681,
592,435,165,512,832,951,790,529,822,799,770,691,451,574,473,500,629,079,120,
941,363,768,458,525,247,459,816,872,242,026,166,556,661,577,569,357,708,935,
754,853,013,252,487,762,323,011,197,096,593,683,208,219,749,330,650,780,843,
623,361,909,344,049,875,528,373,212,986,324,207,368,197,872,713,470,996,571,
315,963,176,683,071,306,379,040,068,697,781,901,163,642,288,228,498,438,823,
055,087,726,479,048,965,255,106,760,032,506,634,883,473,673,516,085,323,584,
619,973,809,333,278,736,093,133,961,916,244,820,689,423,255,980,450,194,674,
952,275,547,847,192,324,367,820,241,073,217,136,704,309,986,214,524,566,449,
425,435,271,650,044,592,945,974,411,522,404,832,932,358,769,396,990,028,714,
339,633,069,454,430,060,412,630,766,177,938,875,986,904,407,994,927,951,665,
576,117,639,800,151,262,814,504,131,558,458,232,090,285,784,392,273,619,244,
201,130,701,610,221,904,045,590,043,368,882,197,106,212,725,979,582,390,926,
220,881,366,712,682,534,217,453,806,436,718,850,762,209,248,490,144,950,421,
354,368,994,044,281,078,838,758,945,818,111,817,949,965,839,357,247,163,374,
919,116,107,158,714,816,305,285,040,518,985,436,639,373,922,249,939,562,936,
205,182,440,908,147,189,636,596,150,027,860,937,023,124,662,715,988,601,410,
541,371,770,849,283,159,378,097,191,688,273,407,848,018,704,033,777,264,187,
134,937,994,385,770,812,215,775,103,780,299,923,843,158,668,233,562,935,223,
041,504,849,585,244,909,118,892,210,046,122,865,229,322,028,137,150,419,797,
914,833,640,542,455,741,910,908,672,171,940,691,020,564,921,916,311,883,665,
282,486,090,104,699,784,552,915,588,359,662,620,877,007,180,879,696,966,740,
724,081,760,791,930,480,890,080,634,538,850,417,494,005,061,556,198,610,918,
888,131,644,425,310,970,252,747,271,396,011,543,616,437,797,097,624,353,800,
045,269,929,091,037,900,194,942,441,052,581,296,978,233,007,409,629,985,940,
498,375,540,861,579,853,179,659,880,682,080,993,431,266,945,361,704,678,806,
750,494,417,756,694,711,595,838,019,099,037,862,155,831,649,786,081,475,423,
829,427,493,383,904,621,627,997,336,845,203,045,695,786,923,493,679,145,363,
572,933,220,198,269,425,018,769,315,372,087,135,262,614,965,378,742,549,172,
835,107,946,620,584,803,547,765,991,739,183,228,098,248,556,286,920,808,243,
873,336,670,415,441,872,335,514,834,174,366,152,454,015,474,352,572,074,485,
599,195,475,615,767,684,333,368,436,812,587,170,263,041,090,248,380,444,013,
479,679,332,606,328,149,442,924,781,672,407,765,147,672,678,983,978,186,845,
305,770,712,510,810,938,243,015,215,455,942,228,249,282,373,994,883,797,796,
285,505,618,455,839,056,080,534,966,096,433,298,083,878,845,351,018,703,867,
436,998,737,364,888,832,002,560,221,270,664,320,751,484,014,870,994,083,865,
098,381,885,469,128,387,107,796,816,908,350,227,916,087,017,867,712,050,492,
212,859,928,952,799,088,183,943,098,795,481,930,285,727,658,662,862,897,070,
388,156,431,641,236,303,944,871,323,659,626,948,068,356,141,101,709,594,287,
212,695,336,962,789,564,817,982,102,084,466,830,928,536,477,567,996,177,806,
829,819,803,112,422,851,828,441,682,811,564,219,440,368,196,521,051,988,685,
226,826,869,974,950,573,695,477,011,009,569,901,000,790,211,028,193,326,926,
789,411,731,594,732,302,276,855,167,189,637,400,698,911,044,459,020,954,493,
721,887,075,609,822,552,628,231,014,995,025,597,751,593,404,720,267,033,126,
190,871,501,476,191,077,340,526,334,479,433,256,458,844,758,491,705,298,005,
448,017,431,980,313,787,319,576,724,376,096,348,121,764,256,011,463,502,000,
562,871,440,557,055,348,255,655,024,677,470,349,373,425,819,308,928,999,810,
910,878,893,495,790,270,051,027,917,923,490,947,107,486,756,037,996,114,537,
110,421,563,791,555,553,779,387,372,833,752,286,614,653,484,315,950,160,682,
093,864,056,077,682,488,905,129,294,371,195,409,430,776,646,636,832,167,275,
380,875,032,100,192,687,136,331,487,209,800,601,081,305,241,944,269,074,194,
612,483,279,749,221,897,255,963,689,573,074,460,604,194,335,895,308,494,877,
764,448,860,088,119,808,327,278,480,095,451,222,408,481,781,994,145,029,934,
220,934,089,746,660,506,733,351,637,551,890,533,609,348,771,621,564,557,078,
158,429,040,538,743,687,241,167,038,923,033,292,516,620,133,081,518,645,786,
380,055,182,716,732,957,808,546,478,714,261,680,042,106,959,576,535,853,841,
928,427,012,431,209,273,437,295,645,341,940,947,155,381,633,772,865,472,156,
819,642,756,760,444,987,135,743,934,518,413,323,898,377,174,113,723,963,376,
900,108,217,869,705,775,202,252,920,789,578,284,253,798,706,981,821,784,450,
744,034,103,041,893,152,116,681,677,882,265,702,220,857,397,968,991,597,137,
315,523,123,827,990,590,771,874,745,165,577,044,613,849,827,794,671,714,572,
215,899,363,807,011,387,234,711,421,238,382,049,111,315,323,720,498,482,388,
046,641,911,737,224,370,865,690,887,490,748,936,422,607,680,138,430,904,991,
656,566,811,270,367,946,732,065,892,083,862,745,344,702,483,673,121,270,679,
216,402,799,384,754,105,109,221,605,346,256,831,204,764,174,524,164,701,618,
161,550,253,595,786,524,077,938,950,331,548,253,767,647,854,817,893,949,174,
481,378,207,223,467,983,092,611,591,933,396,128,154,070,210,177,220,198,737,
145,409,257,268,992,058,197,166,662,574,706,149,928,960,300,363,133,236,386,
472,852,841,080,281,128,247,964,094,748,205,666,182,038,285,396,299,203,501,
828,556,361,876,052,858,421,085,328,612,430,975,577,863,039,586,496,610,711,
867,455,370,733,541,132,903,021,464,304,462,157,560,007,386,600,627,368,741,
716,915,782,007,582,341,351,294,637,474,455,445,408,438,405,749,319,636,424,
375,335,975,199,639,045,284,521,902,484,571,108,302,304,318,589,980,236,644,
426,665,417,887,433,625,104,012,690,225,978,669,499,051,411,405,535,601,817,
527,493,227,583,089,493,135,781,796,877,635,074,857,058,512,074,150,243,927,
580,170,549,300,711,591,431,179,417,322,821,043,721,031,077,321,544,267,466,
459,393,943,336,833,075,966,519,369,654,324,950,409,924,102,566,060,905,921,
819,658,586,406,384,387,089,435,077,153,964,206,628,550,512,878,859,571,354,
961,611,284,924,158,567,204,751,454,457,570,982,050,338,574,413,766,613,705,
288,009,240,445,410,635,456,411,779,274,521,259,342,741,726,805,809,558,669,
748,869,392,170,980,100,595,624,330,787,285,421,349,307,878,085,572,056,875,
427,358,621,199,139,026,124,106,370,450,720,804,830,536,156,632,995,202,126,
222,230,739,771,452,678,110,982,842,514,629,244,424,335,598,592,288,039,841,
003,415,449,392,184,425,461,493,391,524,256,344,774,493,495,267,540,202,579,
494,452,129,863,532,034,893,658,587,711,212,976,087,262,965,984,018,821,557,
776,658,783,904,805,461,192,966,639,602,402,044,554,942,261,526,239,858,285,
179,761,745,349,826,712,541,426,390,987,096,272,229,802,078,361,414,986,395,
591,141,847,747,355,145,581,173,632,780,330,824,263,645,392,796,560,586,101,
416,478,163,798,754,711,352,776,762,812,054,374,857,846,294,129,630,840,955,
941,464,656,351,062,285,791,253,117,308,762,527,840,423,314,802,256,636,591,
496,106,561,985,094,609,924,134,583,442,860,405,982,816,290,967,935,838,434,
693,378,230,717,694,622,473,047,931,139,427,437,754,385,187,742,567,416,280,
116,726,122,046,538,118,270,130,569,020,752,266,213,951,455,590,664,920,100,
041,097,659,669,200,848,707,701,271,134,075,843,559,663,131,220,147,922,031,
376,206,418,068,519,755,044,341,704,163,505,005,345,792,916,615,708,910,781,
115,731,270,252,195,044,734,826,362,638,485,559,438,233,973,135,996,068,851,
545,158,008,418,677,384,438,800,483,926,373,154,693,181,563,879,173,018,489,
431,821,436,544,172,752,701,190,288,567,146,500,546,571,547,840,464,283,720,
603,230,079,914,884,998,094,240,995,435,273,345,641,684,481,558,457,265,583,
943,355,545,387,500,735,597,915,202,062,345,596,714,593,573,792,057,223,958,
616,159,645,117,544,760,088,956,652,056,975,632,720,742,992,338,110,850,021,
273,586,729,224,138,535,359,066,449,306,644,008,965,699,521,238,933,978,181,
377,321,467,515,392,961,975,615,839,848,808,030,393,267,981,826,737,526,688,
191,672,748,183,012,695,397,822,047,018,917,872,306,473,305,474,833,679,114,
364,131,518,150,104,535,690,279,157,970,439,144,330,067,042,949,731,435,899,
054,704,783,298,374,128,935,971,013,223,683,455,494,245,198,864,944,919,213,
872,939,545,735,981,102,517,662,276,703,745,034,110,383,957,028,932,037,092,
055,383,406,960,676,099,435,092,865,111,574,453,263,179,735,387,598,033,208,
789,477,373,478,175,511,578,636,488,999,692,967,250,066,620,305,425,205,908,
206,875,449,145,555,166,196,233,668,046,064,319,194,207,818,811,278,612,468,
201,782,422,357,888,127,107,360,211,368,358,852,048,841,679,139,593,492,658,
726,841,288,574,723,011,097,484,686,917,040,216,680,702,996,927,916,155,714,
195,159,813,741,064,763,683,966,458,423,729,311,484,514,470,294,435,264,351,
160,283,038,406,676,606,762,218,423,685,677,699,012,123,084,435,267,627,773,
434,219,772,439,874,704,912,056,951,881,326,662,411,796,207,103,357,034,983,
640,569,405,529,110,515,279,688,273,450,488,026,489,408,897,551,713,707,134,
001,060,718,492,603,095,149,885,778,032,464,778,570,985,807,296,585,556,374,
279,526,967,098,792,317,064,558,621,607,401,900,610,355,968,078,282,476,695,
780,296,877,535,276,814,049,588,576,946,255,020,505,676,433,439,595,381,906,
248,625,981,262,203,957,134,795,570,725,510,569,107,988,441,943,092,097,697,
083,932,551,060,813,464,905,343,612,302,205,586,491,564,152,955,057,417,343,
263,922,748,330,950,092,216,239,320,070,711,034,699,771,011,481,336,711,161,
488,226,862,478,458,920,590,196,254,487,163,111,907,698,591,578,183,664,554,
017,070,838,988,845,832,224,177,497,243,060,741,748,535,026,008,547,017,701,
576,572,289,234,414,496,530,177,420,309,824,037,842,180,683,578,081,268,832,
738,765,825,109,574,736,241,662,640,602,469,774,834,380,183,880,730,281,853,
580,555,421,452,963,219,792,872,882,029,353,907,296,188,811,288,427,618,405,
439,124,755,786,702,680,369,905,087,299,805,104,050,670,851,769,511,672,638,
118,239,938,896,107,777,441,537,551,085,449,392,114,371,946,438,147,568,989,
648,160,637,551,487,009,574,830,879,739,651,089,845,715,012,597,864,155,261,
346,049,370,721,681,284,437,857,639,051,202,498,907,517,773,176,633,674,778,
247,210,512,076,555,382,195,933,098,965,589,076,958,877,843,021,791,682,565,
334,418,782,030,519,514,352,941,530,854,422,922,051,274,253,094,992,487,616,
147,053,448,909,180,697,661,502,078,331,374,286,561,752,941,910,531,186,843,
135,275,713,346,445,964,165,845,402,131,035,556,841,593,203,541,436,213,297,
637,246,103,473,404,935,762,912,291,820,612,059,220,372,042,803,827,576,177,
715,755,618,439,138,846,335,154,619,723,304,328,472,280,918,491,465,360,859,
465,213,189,233,307,024,705,507,582,955,654,804,970,985,473,799,175,738,828,
062,341,771,135,512,125,579,443,773,446,783,678,850,971,564,708,961,358,518,
334,215,090,406,286,114,216,059,415,537,559,271,051,231,199,461,982,233,262,
052,662,649,922,179,567,417,494,313,462,602,172,585,087,370,499,364,444,026,
584,436,732,196,748,582,567,301,934,436,988,591,418,647,428,447,268,025,042,
344,387,234,285,429,916,118,847,634,399,744,399,670,434,730,807,855,877,552,
517,313,047,829,829,656,943,862,206,655,818,634,754,860,444,561,987,883,832,
139,018,097,033,126,161,745,373,531,208,135,074,237,362,040,561,811,920,590,
904,865,143,620,063,928,120,892,893,888,744,386,227,388,520,525,606,441,136,
039,271,185,678,622,655,821,744,814,185,741,649,424,394,538,247,447,879,003,
536,328,378,412,217,736,461,559,043,155,716,380,084,847,946,903,716,167,315,
855,888,897,057,630,680,542,370,071,227,607,130,783,017,618,803,975,205,715,
910,801,959,863,895,024,805,171,419,655,299,308,113,569,179,477,061,418,474,
187,822,809,146,997,305,126,292,733,074,223,214,059,016,552,769,197,731,295,
649,530,602,007,132,361,307,061,890,748,236,025,782,489,178,126,614,353,299,
938,539,579,232,947,110,344,427,252,987,613,358,208,837,771,441,704,001,329,
850,807,090,895,627,649,442,724,083,093,244,297,799,770,938,468,230,195,511,
276,350,008,197,476,649,080,504,194,602,003,743,776,755,388,476,166,205,565,
121,481,023,947,066,441,703,351,101,750,968,170,992,727,222,588,477,304,214,
081,235,126,502,919,902,733,573,611,590,004,104,637,465,056,367,815,230,708,
936,892,339,173,013,089,834,496,654,258,828,183,825,134,821,055,630,858,641,
372,584,072,143,679,042,322,823,461,661,963,449,571,344,933,103,734,285,141,
776,443,272,802,155,239,598,587,231,780,977,125,888,600,412,968,786,219,971,
338,572,755,777,849,187,335,340,303,943,411,994,765,468,253,490,912,524,887,
159,861,588,003,761,513,952,485,440,346,660,027,378,052,325,503,870,130,491,
796,647,648,402,607,396,996,832,926,857,495,228,980,717,702,208,055,810,760,
639,846,314,317,047,908,990,279,769,822,523,350,348,906,217,718,714,327,734,
718,849,552,916,008,726,488,873,017,549,718,350,251,638,547,319,000,884,381,
143,667,885,766,528,782,179,196,008,702,152,216,054,978,763,084,067,152,964,
163,584,008,972,762,526,739,513,129,460,772,907,899,980,969,754,610,953,315,
340,342,231,935,121,381,520,465,263,537,284,196,704,363,323,731,101,492,646,
629,906,671,803,439,066,211,646,579,946,463,070,112,157,395,677,745,712,930,
297,751,723,852,785,899,404,524,520,606,276,416,545,053,780,973,914,082,211,
293,772,126,152,010,114,298,338,566,305,475,150,568,222,652,433,129,664,209,
710,391,299,532,990,477,083,583,515,500,945,389,316,396,599,447,049,828,973,
103,261,391,805,637,122,447,118,294,026,706,021,462,600,168,544,089,947,016,
697,938,788,677,191,204,062,088,961,045,450,358,073,511,110,223,774,675,032,
472,599,436,876,724,731,943,859,833,415,918,700,927,875,613,462,553,553,310,
334,697,747,366,968,552,820,507,470,837,693,519,255,943,234,747,573,983,466,
687,096,888,547,396,822,067,472,169,631,715,721,973,253,707,337,681,497,942,
352,085,637,155,347,112,508,110,375,237,178,964,934,277,044,950,135,377,166,
112,584,838,794,773,102,307,261,132,511,572,946,011,605,260,024,348,530,651,
993,249,330,436,243,898,369,831,764,282,308,751,327,460,187,692,073,690,187,
364,656,445,755,785,140,917,421,663,499,824,661,068,131,454,318,485,419,221,
180,150,570,334,933,118,917,028,016,341,234,904,956,323,556,971,377,143,019,
726,667,797,032,717,977,749,875,284,032,316,032,267,310,018,838,971,903,852,
683,654,441,520,395,419,872,686,188,751,418,507,669,363,863,350,508,292,693,
273,290,832,823,176,216,789,706,760,668,500,295,590,153,769,102,443,684,101,
853,299,993,231,180,019,395,379,087,551,436,377,030,590,574,193,293,952,521,
895,919,021,488,217,229,729,530,144,520,131,590,130,294,046,346,626,912,297,
973,508,310,538,993,654,826,710,869,699,892,541,511,258,645,996,480,633,057,
969,321,925,050,436,319,937,443,625,275,676,216,503,492,789,081,937,153,285,
074,883,181,145,386,514,242,867,175,238,217,384,649,545,844,427,709,107,287,
876,812,681,525,474,462,732,829,102,078,092,249,011,061,457,974,063,390,473,
907,876,097,898,723,935,099,313,441,244,428,005,620,300,160,695,526,788,063,
117,683,119,314,759,360,887,926,519,077,411,135,988,194,287,179,951,222,331,
917,087,524,978,641,802,431,308,169,375,996,440,256,023,852,116,134,778,641,
270,702,226,172,595,147,629,363,305,203,633,265,203,060,005,698,457,663,450,
390,323,810,204,465,517,492,001,548,628,077,335,712,434,462,604,296,006,388,
836,135,694,146,292,319,229,194,088,493,956,811,874,270,209,897,756,208,222,
940,232,010,544,193,613,605,673,015,006,796,044,879,541,619,046,050,388,915,
658,635,576,274,683,517,507,667,408,502,440,428,074,576,211,803,743,429,017,
729,459,498,978,667,788,306,082,257,592,740,971,076,581,501,612,636,909,085,
103,055,524,532,369,726,651,980,061,589,316,142,204,063,681,715,711,263,773,
144,497,792,200,934,742,218,070,355,301,723,614,124,615,672,584,395,541,054,
038,871,679,710,087,102,808,198,992,444,303,822,654,013,072,017,783,961,463,
023,419,423,197,623,796,743,016,316,285,735,394,758,277,236,437,862,723,509,
394,613,047,898,724,265,677,834,757,506,346,322,487,838,650,523,668,817,005,
723,379,351,093,327,142,104,511,582,105,934,630,354,661,426,656,594,850,752,
667,042,619,962,233,499,458,770,784,791,628,639,421,836,122,903,633,086,623,
213,725,376,817,656,386,867,116,986,386,479,310,860,365,939,496,533,868,328,
830,641,001,018,763,242,314,129,627,080,882,940,463,234,859,641,562,619,409,
255,507,165,899,601,520,685,567,236,328,688,375,042,469,821,046,939,414,118,
155,954,823,885,552,441,483,305,211,962,351,477,070,155,044,757,400,213,316,
918,399,446,810,127,111,052,884,802,413,656,782,817,356,062,746,403,650,434,
922,403,992,597,642,985,088,908,073,033,925,773,244,209,932,888,810,318,438,
952,326,555,261,358,555,967,515,617,138,379,649,806,618,205,182,029,442,361,
440,338,823,332,106,795,413,213,174,472,862,943,110,716,140,427,717,568,107,
056,602,435,540,424,861,928,731,511,835,051,147,191,710,318,525,686,546,808,
001,909,669,294,336,605,964,940,750,187,340,090,643,673,981,479,243,155,252,
644,509,096,295,239,849,205,453,212,490,786,489,684,264,109,381,057,839,462,
963,425,354,283,407,329,189,354,612,067,152,288,188,113,991,756,198,128,921,
970,252,891,391,396,276,425,388,605,233,157,702,338,686,152,506,194,713,158,
826,978,960,483,102,969,796,780,991,170,838,249,623,328,371,607,928,631,810,
190,589,026,694,798,435,915,048,593,825,943,055,820,748,074,261,969,435,327,
053,720,762,515,004,208,207,711,241,017,423,198,419,382,171,801,752,392,639,
540,638,269,318,391,846,066,038,420,475,862,166,464,236,545,810,939,759,667,
484,691,532,239,051,075,875,589,971,098,396,154,024,882,393,029,246,990,191,
807,822,402,827,156,544,086,217,391,973,708,428,627,306,731,660,546,418,724,
137,738,091,579,409,697,007,313,238,489,352,372,207,071,426,967,201,071,548,
057,491,731,877,121,932,842,179,908,308,193,472,402,818,179,988,047,239,034,
642,748,258,125,411,436,306,971,481,650,696,767,030,484,068,090,012,259,737,
569,064,619,486,483,883,953,391,343,410,068,001,887,239,764,737,229,397,836,
080,956,004,148,324,345,601,550,515,617,603,308,025,395,883,064,850,307,319,
127,544,263,460,463,679,530,368,722,472,748,053,921,747,876,449,376,766,931,
345,962,552,946,882,505,749,994,652,616,735,349,765,098,214,454,062,366,528,
201,998,657,804,877,015,411,064,463,914,248,672,092,011,862,012,071,776,534,
818,465,968,317,881,280,348,942,327,490,963,819,073,246,636,671,621,071,215,
641,650,820,573,631,169,868,415,365,031,905,022,803,070,067,369,821,061,709,
356,439,288,214,416,862,843,870,158,278,510,978,144,313,192,470,154,949,713,
744,572,047,342,201,225,240,176,974,094,147,186,593,576,010,980,833,569,261,
383,975,576,050,178,451,380,879,690,655,659,301,963,789,578,776,323,632,921,
245,284,360,252,194,946,321,976,202,788,025,575,575,820,040,828,408,830,461,
735,248,274,907,000,367,093,910,313,307,080,473,799,807,256,689,227,424,134,
479,630,608,232,546,434,715,136,174,913,197,768,232,812,488,653,130,679,595,
519,089,948,378,828,713,374,109,933,512,694,690,444,345,111,822,122,615,074,
003,380,571,067,285,988,594,548,710,181,411,851,547,610,608,294,731,655,437,
298,453,796,698,025,714,922,860,746,571,742,492,716,446,332,576,850,525,852,
070,075,191,373,730,097,772,993,411,962,518,554,783,146,254,479,070,365,353,
152,223,657,585,524,989,631,370,834,948,702,022,153,275,787,479,407,673,250,
279,363,157,122,796,349,004,354,680,342,969,977,903,900,470,946,446,375,410,
907,677,965,366,226,568,917,874,650,966,368,674,043,123,775,519,350,861,965,
345,328,671,853,162,521,365,604,069,742,818,531,435,746,038,341,155,558,324,
235,920,506,493,133,906,698,365,200,840,705,296,709,049,036,862,103,843,197,
250,654,592,888,886,846,857,697,406,561,081,275,831,682,233,976,316,349,422,
638,726,516,860,771,500,233,490,095,370,014,053,666,255,992,604,367,421,052,
386,914,774,902,662,498,851,445,422,621,394,106,895,295,281,615,834,905,862,
442,095,016,770,908,219,954,552,444,702,674,506,186,616,899,886,215,464,873,
925,219,546,935,012,298,682,297,250,674,020,612,285,344,243,500,856,848,555,
397,797,826,464,160,180,866,669,182,727,426,235,982,691,187,127,575,040,218,
583,178,238,744,434,374,910,898,800,972,727,493,492,649,181,216,556,424,004,
010,723,497,554,909,068,097,066,785,899,659,459,753,049,668,310,467,669,918,
025,598,061,509,477,743,144,700,873,004,562,083,662,489,619,256,157,609,859,
741,576,496,684,713,678,297,970,440,436,266,504,767,846,939,750,946,274,127,
249,569,130,422,218,343,797,662,692,353,530,255,337,570,671,038,210,611,032,
777,697,057,367,457,560,926,141,792,241,416,632,499,942,978,183,758,553,113,
033,326,037,951,180,523,028,473,871,211,738,738,199,512,960,916,540,681,755,
395,268,400,226,895,294,076,527,937,207,907,895,451,601,603,947,643,041,427,
163,380,876,456,081,787,449,115,970,067,752,764,463,677,589,805,072,812,061,
020,079,307,623,095,461,868,612,247,494,007,011,537,695,606,596,837,756,274,
590,624,654,631,582,368,239,344,621,435,115,659,002,496,355,620,769,208,780,
687,121,140,225,385,666,962,006,643,759,715,978,040,026,593,096,403,304,383,
582,153,279,905,807,047,000,132,349,857,886,524,855,856,643,212,412,353,654,
230,896,557,634,915,363,629,494,902,556,741,947,867,257,391,160,450,592,147,
375,068,743,720,623,859,263,611,367,038,470,713,978,964,611,232,994,214,538,
325,915,363,156,091,360,974,181,034,949,229,682,743,722,930,086,600,134,982,
470,592,863,241,308,661,268,520,506,338,924,148,841,409,218,375,969,696,635,
000,529,398,238,204,593,575,463,694,463,788,946,310,325,137,605,863,150,960,
979,458,588,989,320,214,345,056,726,902,034,195,829,736,882,835,497,965,814,
072,540,640,860,800,752,139,164,290,639,368,672,590,518,323,319,984,398,065,
192,403,309,725,539,449,396,406,149,086,455,909,291,576,052,053,844,895,590,
248,878,136,594,788,325,173,378,078,508,029,121,267,719,947,757,927,542,753,
425,089,287,785,060,819,293,981,342,402,467,401,969,163,949,284,013,644,738,
907,188,892,248,192,566,764,647,941,625,550,716,059,893,024,485,810,945,947,
669,012,610,717,370,333,465,343,472,309,454,624,650,549,105,381,988,942,458,
500,113,713,730,104,050,020,341,928,027,456,260,265,853,709,964,263,292,441,
894,303,288,572,775,645,084,315,230,879,801,464,962,884,886,829,077,858,288,
772,414,822,546,108,945,052,939,920,139,430,814,855,020,128,961,815,948,653,
977,358,225,103,884,770,901,084,070,941,312,904,293,223,637,929,433,729,292,
210,893,395,883,370,708,017,082,002,553,577,494,034,394,637,296,365,371,421,
428,906,371,032,604,956,536,749,939,003,573,760,716,392,677,201,419,408,664,
534,908,301,254,440,881,279,118,291,705,364,339,000,565,620,228,238,800,078,
837,513,840,544,949,203,948,309,324,691,511,500,535,031,491,224,339,489,865,
977,383,602,435,689,665,528,649,551,166,908,457,537,296,015,133,296,238,839,
365,241,467,660,364,305,063,219,759,965,659,588,951,086,185,337,172,308,282,
626,375,985,933,633,015,791,470,798,469,787,057,397,339,555,617,596,963,929,
064,771,004,115,271,116,899,124,178,618,045,666,278,786,476,616,952,327,184,
609,690,057,475,550,550,430,270,603,513,484,658,587,890,491,501,389,685,931,
224,086,011,022,743,775,915,096,248,917,394,951,948,768,329,048,976,405,869,
740,613,092,943,125,598,777,159,208,986,739,355,102,797,928,179,665,541,686,
093,005,979,832,340,224,316,290,395,381,732,357,765,139,576,845,489,871,604,
662,666,223,396,505,238,397,383,087,138,794,872,102,322,710,614,811,954,658,
588,188,376,939,015,128,431,872,734,997,772,708,142,939,821,607,656,557,466,
994,364,804,611,101,178,379,330,541,974,615,203,652,263,893,660,123,011,269,
149,313,436,239,919,239,804,665,944,440,089,040,128,320,500,238,939,494,253,
268,678,035,009,550,510,262,106,070,238,961,021,843,838,967,146,762,701,431,
843,386,998,153,202,656,052,428,955,666,428,341,474,614,614,774,092,332,578,
124,298,379,766,684,476,371,794,499,292,333,197,569,222,570,072,380,763,346,
434,833,414,692,126,145,670,575,502,804,763,736,417,933,484,403,611,515,746,
678,653,287,994,417,812,885,781,023,663,444,646,921,001,779,222,810,112,591,
280,333,705,510,121,785,431,163,469,417,116,180,558,094,959,470,043,869,386,
139,664,496,721,631,672,775,585,418,763,406,697,058,335,042,465,278,644,818,
615,187,318,159,218,762,382,403,382,479,666,757,789,322,643,856,601,740,707,
186,024,434,500,691,051,678,040,065,272,421,285,611,959,999,138,502,654,029,
629,148,974,279,340,362,419,743,098,194,116,364,592,924,645,618,372,666,647,
717,346,821,491,324,760,364,464,154,684,272,594,231,243,367,593,628,142,040,
620,878,987,171,795,484,063,607,420,539,784,206,810,448,118,418,769,252,704,
378,139,370,261,749,973,540,528,111,788,172,706,752,312,579,231,692,518,063,
545,294,491,827,282,834,634,856,760,768,139,648,704,182,930,672,921,660,665,
732,887,125,157,041,093,778,195,961,470,487,401,867,461,724,895,567,808,672,
569,622,884,277,264,840,555,348,784,371,313,364,736,429,915,379,061,605,403,
472,631,896,437,158,837,337,044,232,066,067,935,433,281,916,669,390,800,116,
780,590,535,216,346,594,420,804,906,602,640,413,136,863,205,000,490,277,855,
458,292,150,015,618,728,977,820,316,644,987,426,803,665,906,826,393,725,555,
631,218,947,235,444,398,423,884,979,331,775,789,344,978,833,793,815,196,067,
811,610,333,579,580,115,579,475,546,414,713,944,104,758,863,894,489,285,140,
274,114,666,382,964,765,777,821,405,924,553,815,168,984,725,112,821,134,704,
365,026,300,844,943,481,167,703,208,839,210,857,080,365,643,608,047,904,023,
714,069,984,492,745,130,674,265,103,176,906,367,241,927,656,302,459,734,625,
663,638,103,790,057,768,041,446,362,572,599,108,269,779,923,867,773,876,958,
475,978,458,929,797,541,093,602,771,864,264,356,728,513,673,348,706,812,423,
946,964,699,461,336,055,327,617,295,555,251,742,157,746,484,519,946,112,195,
871,077,415,798,269,751,182,775,966,607,173,864,424,474,848,307,293,826,514,
021,750,772,127,151,447,969,064,025,987,723,211,642,212,616,722,694,620,977,
004,030,767,694,896,391,705,056,471,598,984,510,296,690,153,448,199,899,868,
083,289,693,768,996,609,803,934,799,161,092,524,825,072,473,670,927,707,744,
869,484,113,169,624,882,763,224,081,709,603,030,436,125,291,194,859,709,525,
422,751,404,964,741,781,095,098,216,982,458,175,391,263,984,402,825,469,655,
317,311,824,425,758,026,028,447,684,445,095,386,159,212,401,205,503,506,834,
408,531,626,886,817,152,422,712,465,314,193,995,266,993,588,107,900,544,144,
162,553,910,977,893,228,954,065,148,930,829,430,040,612,972,140,523,723,386,
333,105,010,588,511,338,480,872,368,881,293,722,499,551,050,878,438,782,212,
462,501,596,785,489,057,310,464,998,732,176,503,965,726,550,734,233,760,772,
499,720,609,713,403,828,632,418,709,236,753,211,602,040,183,019,887,984,771,
673,575,537,144,553,571,858,503,740,239,908,533,122,894,719,390,029,582,419,
420,973,982,929,467,481,654,832,450,974,508,647,036,093,159,360,252,752,639,
087,605,879,885,650,525,586,140,190,876,577,418,307,815,935,768,039,587,300,
424,302,963,831,402,499,090,708,230,603,881,796,750,165,636,658,752,943,520,
705,450,107,721,234,006,880,194,863,001,246,232,013,608,322,619,678,872,311,
635,708,533,298,377,952,525,480,871,689,747,952,458,917,989,252,737,318,249,
775,729,658,290,821,984,208,407,733,562,980,995,185,144,606,553,043,050,131,
540,766,304,892,002,643,170,252,536,924,882,456,297,176,551,873,945,662,799,
772,187,695,076,816,248,676,248,250,717,596,872,536,172,708,408,157,687,065,
899,378,641,813,150,913,569,089,174,760,628,947,665,564,896,657,112,955,271,
773,405,636,887,580,804,462,990,106,340,588,503,417,277,358,254,257,419,524,
975,099,055,207,807,037,634,962,155,294,863,003,735,829,003,448,331,713,025,
354,393,727,189,336,677,598,935,300,350,957,404,569,439,749,814,830,416,356,
368,232,357,271,619,258,762,131,082,293,297,703,015,511,441,361,816,043,293,
307,499,264,083,689,176,055,209,703,126,559,078,932,778,887,303,224,798,348,
542,102,517,679,905,866,042,801,050,286,690,319,738,202,011,017,777,897,275,
784,461,878,351,756,472,280,783,931,311,657,421,955,758,247,138,420,119,120,
282,434,675,511,882,487,601,820,655,354,125,344,903,060,240,194,720,891,625,
312,668,405,608,897,630,306,114,269,067,306,902,349,795,774,841,174,934,707,
874,355,923,032,968,024,567,607,731,721,596,794,958,080,055,293,988,914,999,
273,539,572,864,341,718,127,305,470,150,252,619,804,209,654,402,931,906,601,
353,995,885,407,368,570,143,311,391,218,123,751,752,735,295,382,204,209,987,
022,935,058,682,217,822,134,018,341,144,617,432,394,710,082,606,492,530,855,
982,132,550,788,011,778,207,140,697,576,470,196,522,475,013,340,766,092,414,
795,266,401,749,503,178,929,759,111,166,630,945,989,033,468,969,582,200,123,
368,758,156,652,945,981,635,940,160,562,106,164,532,847,427,588,528,945,940,
082,513,025,569,559,295,406,692,755,621,355,358,658,107,636,280,169,307,461,
610,844,043,783,655,459,092,402,001,258,369,816,920,893,334,081,962,863,405,
140,416,755,880,636,259,326,192,658,345,453,398,035,213,666,891,663,224,582,
527,131,774,560,388,517,619,957,524,812,297,008,338,267,877,559,061,747,051,
462,322,428,187,382,262,168,893,502,413,503,021,201,631,397,336,158,618,782,
499,691,454,460,729,497,711,880,133,532,553,043,495,631,069,290,965,701,715,
700,293,887,954,748,828,072,730,028,607,823,849,205,056,961,922,333,843,986,
079,086,651,981,395,231,847,450,835,138,377,234,153,328,082,899,612,219,709,
481,167,038,157,629,342,930,825,938,215,976,749,791,403,679,131,145,005,459,
348,192,129,700,828,986,368,891,502,018,300,682,126,274,674,099,777,366,053,
482,767,026,894,401,784,668,259,389,683,601,324,164,014,687,229,495,470,786,
875,059,224,840,172,345,122,494,487,029,476,948,916,697,879,261,355,640,164,
458,170,148,343,360,241,546,839,122,976,747,299,670,817,971,311,131,627,797,
535,302,309,283,507,992,122,636,264,997,941,240,746,733,912,860,402,479,656,
409,474,034,359,558,039,610,170,793,476,268,842,933,885,228,886,372,402,597,
161,500,198,936,829,987,104,676,026,813,097,099,567,598,588,094,737,601,452,
827,531,670,429,111,016,024,565,256,144,277,316,292,988,656,163,197,639,690,
577,211,663,932,460,197,636,987,276,698,250,807,344,651,491,483,171,678,089,
040,055,196,481,826,447,486,886,200,076,630,095,067,669,777,849,618,072,966,
525,245,801,818,129,470,289,666,726,651,246,278,726,111,971,939,244,512,187,
693,547,876,282,146,776,215,862,627,328,571,511,931,231,395,154,015,343,706,
297,549,542,169,998,500,123,389,028,695,164,405,960,970,411,202,831,351,650,
136,522,289,255,510,449,201,921,908,318,380,838,303,332,280,286,891,032,947,
104,798,765,338,573,202,957,296,188,571,685,519,046,223,912,523,288,390,098,
198,978,889,492,319,040,482,289,489,888,293,019,246,005,971,460,041,188,277,
080,222,698,063,687,340,299,905,653,347,179,270,654,664,383,216,982,745,765,
813,500,896,045,167,579,462,741,764,017,684,302,810,115,082,885,504,852,587,
762,900,832,022,296,275,394,528,147,534,786,494,303,839,378,121,608,805,599,
286,787,672,777,439,733,110,443,972,177,975,095,603,842,639,416,047,002,926,
856,890,349,219,842,182,415,683,298,348,467,833,877,810,949,948,340,660,354,
025,921,224,190,775,258,115,939,443,777,803,715,017,448,765,860,336,431,139,
963,147,536,486,355,925,778,594,204,351,667,874,213,118,952,810,475,986,827,
848,345,099,746,241,222,313,335,888,798,899,606,241,601,915,862,274,621,088,
402,054,152,463,902,704,731,735,761,692,483,738,830,101,805,975,812,758,209,
402,755,118,548,127,108,700,207,485,950,182,775,609,526,410,548,655,579,334,
896,284,664,605,546,581,318,030,940,914,038,105,319,260,800,263,976,173,711,
096,254,137,082,098,757,631,685,855,709,882,078,006,539,763,623,741,222,226,
940,131,255,508,687,155,382,265,356,290,728,100,897,498,233,587,225,726,052,
815,046,070,644,954,413,002,261,112,909,305,901,061,426,404,740,793,652,305,
137,695,827,302,272,927,925,450,545,890,290,315,027,002,297,111,484,588,216,
828,131,969,176,726,389,881,652,888,570,421,900,732,275,574,860,622,793,729,
187,649,058,700,140,906,198,588,212,427,932,489,750,065,682,113,681,007,757,
892,984,128,307,545,502,828,354,283,468,077,861,554,128,476,504,325,386,854,
078,817,529,486,607,576,198,003,887,234,543,823,538,944,431,870,966,264,165,
960,406,521,311,066,000,159,485,496,409,875,624,452,891,242,858,292,594,854,
729,153,460,741,559,451,642,525,181,507,832,716,502,934,647,620,063,373,245,
659,272,146,224,901,991,388,416,688,845,313,392,456,738,332,643,673,750,738,
702,216,461,018,359,203,708,722,548,899,084,134,549,116,837,346,818,323,476,
281,469,527,233,696,873,958,837,412,483,480,956,403,632,415,951,226,215,127,
279,747,657,949,179,667,215,582,500,936,657,904,252,217,827,968,327,106,580,
444,482,228,639,715,259,335,623,402,832,917,342,202,932,506,361,654,802,498,
904,083,935,186,937,867,354,697,050,647,064,903,342,772,603,620,272,496,849,
108,864,842,940,215,702,818,353,822,502,458,328,363,929,796,654,105,787,784,
922,752,742,464,064,362,408,812,944,481,459,307,720,530,068,094,953,777,850,
213,660,867,093,089,655,240,077,589,206,640,555,501,668,436,164,157,460,353,
950,580,669,591,915,264,479,597,575,918,895,015,108,502,050,689,072,654,403,
950,944,955,298,252,599,610,809,390,654,306,086,152,980,477,115,242,785,445,
109,995,868,232,405,302,858,405,698,890,305,623,227,993,002,044,344,823,930,
784,707,393,079,849,475,390,318,411,940,341,931,732,243,394,313,943,738,589,
002,470,680,124,344,361,004,044,071,127,346,742,332,734,161,412,570,649,271,
161,743,504,160,500,136,310,072,191,078,568,121,315,592,942,340,450,286,835,
763,000,611,930,407,575,753,431,181,459,244,426,029,457,857,079,798,660,828,
761,650,830,799,442,870,669,760,919,662,974,297,897,097,564,583,196,130,076,
654,752,793,946,018,103,926,678,342,502,260,610,417,561,061,067,885,895,816,
882,455,155,632,170,314,651,775,263,080,778,740,657,837,131,580,633,867,102,
386,804,296,480,426,305,946,162,293,720,749,510,520,205,078,232,791,978,912,
670,836,345,810,386,691,799,515,107,782,788,387,661,651,861,124,399,398,146,
022,408,764,610,002,939,386,312,935,844,311,853,885,854,844,104,372,580,407,
649,173,420,990,623,052,805,568,652,334,138,566,876,710,266,623,577,083,523,
431,820,302,342,752,422,693,709,119,948,245,796,941,336,527,844,388,199,079,
514,357,106,932,798,154,452,330,585,255,373,672,488,871,514,709,406,563,776,
788,230,036,796,060,590,673,198,952,486,440,876,668,822,036,257,537,093,000,
639,136,227,710,036,491,696,336,698,406,034,917,865,013,694,199,238,941,472,
961,999,041,140,181,782,717,194,704,552,452,811,796,726,919,255,916,290,825,
986,450,051,787,245,788,633,959,448,880,761,549,599,417,364,244,574,441,858,
793,029,293,675,377,845,343,261,432,001,900,116,304,505,766,505,244,560,616,
559,072,467,913,300,743,252,041,773,585,076,649,953,784,344,014,506,845,888,
016,601,635,887,323,252,619,539,722,755,639,254,104,401,434,894,110,135,660,
055,547,628,106,867,053,172,095,592,012,135,770,121,894,076,504,766,500,029,
901,439,169,391,817,034,025,127,557,053,877,037,341,913,650,553,505,746,903,
236,171,489,580,228,682,105,604,953,799,281,295,692,343,472,447,619,226,274,
281,519,732,878,528,211,263,941,545,209,287,496,413,931,301,703,186,772,594,
455,526,181,360,387,105,973,199,402,560,360,764,466,053,543,021,281,606,963,
739,322,044,811,923,072,582,968,987,546,805,546,775,524,698,380,097,352,423,
077,963,614,220,799,944,837,517,846,284,703,327,967,009,373,812,029,408,630,
006,799,003,421,026,109,433,078,937,280,433,376,863,268,155,483,929,673,903,
550,579,438,904,032,947,241,914,118,025,012,453,249,362,876,733,364,892,956,
435,433,830,314,051,474,007,743,784,285,882,359,156,593,847,075,619,705,973,
252,994,869,505,580,685,472,491,914,468,488,612,997,882,936,310,060,409,342,
083,734,940,730,738,382,194,061,655,088,374,776,998,459,112,065,159,177,036,
805,860,562,179,868,831,148,052,987,896,056,546,849,960,970,209,839,458,388,
913,715,630,082,671,703,125,104,110,534,034,546,581,217,977,354,454,292,386,
717,411,620,870,035,312,826,794,650,843,193,129,720,550,335,809,886,858,000,
627,805,623,785,897,766,837,314,677,236,726,585,519,521,881,052,034,667,982,
967,387,848,898,604,757,144,902,600,183,965,467,128,873,563,410,756,219,874,
861,213,854,889,374,725,419,745,992,885,623,837,539,911,655,658,538,845,722,
385,871,189,629,966,636,661,526,209,552,409,861,845,317,965,828,602,443,471,
693,169,085,888,211,770,252,611,554,495,925,842,384,960,224,662,344,194,744,
770,184,777,354,799,387,721,989,182,515,913,147,092,584,659,390,641,242,672,
853,732,926,529,168,366,530,973,044,324,199,075,690,983,597,416,476,459,818,
665,140,264,698,404,321,459,276,875,405,703,929,445,066,228,910,550,613,402,
284,187,814,483,418,171,129,359,572,520,276,703,661,730,756,054,299,963,413,
423,851,095,555,046,577,059,968,926,632,808,801,215,013,971,386,474,220,089,
952,618,663,404,446,296,260,070,677,900,572,456,750,635,899,815,029,088,403,
184,324,765,209,993,018,054,072,474,003,573,245,652,864,236,439,262,689,047,
661,842,709,330,517,517,948,608,589,525,256,080,757,998,199,123,120,539,663,
361,094,213,569,351,237,534,876,998,641,600,467,628,691,358,298,693,249,914,
649,844,787,869,907,997,207,135,624,875,915,106,901,937,510,992,734,893,963,
178,742,274,366,805,941,695,135,100,821,752,801,947,276,732,957,275,879,799,
613,684,745,011,644,719,881,971,434,575,803,753,263,882,044,218,289,613,926,
551,248,095,965,835,629,114,973,475,046,800,184,784,118,628,692,096,717,583,
989,231,748,774,659,603,515,835,434,720,083,918,561,739,051,316,712,424,678,
227,394,977,923,850,220,549,860,318,511,600,504,668,968,097,376,901,564,428,
107,633,465,844,416,811,426,938,822,638,544,270,628,776,348,093,536,661,280,
546,929,881,456,862,480,531,182,735,027,829,900,626,437,005,601,639,926,654,
059,690,367,946,937,396,085,998,291,263,481,646,138,185,322,813,046,233,510,
392,874,214,607,347,828,376,702,150,338,223,687,898,512,609,523,768,783,397,
508,888,288,872,809,745,122,005,766,611,262,306,542,212,410,145,891,212,970,
629,668,023,624,036,147,535,618,644,201,136,271,478,564,043,798,155,256,024,
725,622,395,788,628,850,497,018,465,344,415,004,194,986,321,322,911,822,729,
098,269,524,698,588,878,205,366,086,442,659,709,418,101,902,471,130,317,081,
271,013,675,799,125,308,996,128,802,829,143,278,528,432,844,570,412,195,842,
331,077,042,549,562,789,695,675,983,343,974,172,271,683,697,824,113,844,259,
700,655,287,238,853,950,893,384,683,677,190,636,990,028,762,372,902,482,422,
913,395,620,949,691,866,039,478,818,244,760,512,485,395,829,824,810,154,635,
677,265,822,429,313,563,155,053,726,990,767,376,613,624,616,710,091,759,607,
277,237,160,536,749,741,283,793,865,756,000,996,208,517,831,150,812,359,426,
141,867,030,683,377,357,906,866,185,625,702,509,722,831,961,209,977,868,680,
659,657,007,730,809,425,438,066,453,102,886,716,580,267,023,697,941,324,590,
616,097,132,028,157,144,872,036,808,950,911,160,795,842,572,880,075,621,113,
212,095,675,204,627,654,576,993,044,476,320,458,730,384,048,504,679,345,118,
979,382,591,011,819,709,152,210,208,057,829,164,303,625,923,601,977,123,948,
810,571,771,854,101,581,819,918,885,079,230,762,818,415,681,924,129,454,417,
955,939,257,236,590,485,664,670,119,589,762,213,844,321,604,145,537,469,621,
691,194,631,943,377,941,673,966,631,143,658,620,273,804,166,158,535,083,919,
892,453,827,873,648,174,276,200,206,671,762,011,809,606,523,684,634,144,349,
386,036,172,951,018,460,198,934,238,557,272,466,682,363,278,472,689,476,339,
704,623,953,792,660,637,824,322,934,608,386,393,422,019,023,202,112,625,674,
449,345,972,800,476,669,995,932,217,979,672,237,359,210,873,672,763,872,345,
157,351,933,043,905,148,694,057,771,249,318,042,873,059,579,835,534,881,582,
065,878,648,160,999,950,065,532,301,987,398,545,664,103,596,591,105,782,751,
211,444,029,623,427,089,081,018,749,983,067,333,399,597,804,468,581,713,511,
572,562,919,643,005,491,096,316,747,945,671,873,419,450,508,347,223,761,889,
032,361,078,369,103,666,732,830,932,344,803,493,053,368,328,457,473,123,390,
024,021,376,692,952,600,414,355,328,550,328,629,688,089,857,190,394,475,431,
052,456,865,769,339,647,028,949,519,737,564,440,720,923,687,883,429,705,245,
742,082,291,727,730,696,905,109,128,444,558,115,031,873,745,730,944,247,792,
848,515,588,279,016,361,744,942,502,626,766,567,127,876,599,741,854,709,766,
327,494,556,900,868,056,638,477,465,319,405,146,170,209,578,552,384,372,881,
655,842,374,917,985,301,770,063,425,009,178,242,439,861,404,314,285,140,812,
929,276,090,455,693,943,698,835,077,408,227,687,734,596,522,600,020,218,672,
266,528,463,529,786,595,646,283,006,808,904,917,318,770,133,702,364,031,382,
934,157,479,316,044,500,299,619,836,417,946,183,932,252,240,562,831,538,122,
917,391,042,845,368,924,461,193,226,517,467,770,434,068,829,483,382,144,328,
068,224,076,146,757,015,677,242,497,802,865,547,663,984,098,555,779,846,273,
260,669,075,839,037,369,950,342,227,244,368,757,564,952,545,393,046,676,683,
065,281,758,044,857,180,660,630,147,616,807,190,025,523,558,968,368,721,560,
947,879,784,210,839,173,227,404,286,299,574,128,112,607,371,490,244,254,937,
717,687,106,926,747,448,407,505,029,855,173,144,174,690,660,088,162,695,707,
939,780,958,487,948,107,679,706,583,621,181,348,856,838,998,124,605,792,269,
205,441,599,314,199,432,415,232,228,501,722,444,861,747,093,770,846,742,480,
312,872,783,929,563,360,694,278,140,921,033,456,721,546,683,162,326,808,287,
071,822,125,305,543,872,789,804,125,822,103,047,303,125,129,277,500,398,501,
293,166,918,403,427,412,638,410,783,215,077,709,060,888,229,095,653,517,458,
916,279,968,743,322,286,587,480,611,394,718,705,596,661,142,637,648,115,874,
217,840,982,340,347,578,829,630,868,352,429,876,806,215,160,884,321,836,383,
504,690,583,061,333,495,419,569,849,089,205,789,162,995,796,368,569,985,357,
327,949,025,954,063,086,632,191,154,729,723,193,703,128,018,911,199,330,494,
957,063,868,081,823,718,591,247,064,717,001,656,387,571,380,310,789,892,763,
447,669,267,502,255,697,509,105,262,054,509,435,708,530,833,386,754,416,123,
950,857,108,475,527,499,443,662,860,749,232,149,875,267,206,138,368,094,338,
195,654,343,117,612,938,174,752,914,814,373,102,508,788,727,350,683,054,623,
124,019,553,121,252,189,760,326,594,249,830,214,633,583,986,322,767,013,055,
343,248,398,280,725,459,889,556,335,715,189,095,862,797,438,853,252,348,003,
252,614,332,127,044,471,500,770,889,859,819,940,038,379,001,859,487,969,430,
721,414,991,523,418,578,855,127,778,471,935,450,745,324,804,042,246,276,861,
486,444,438,943,084,436,840,259,058,621,662,577,799,850,061,096,630,545,167,
261,846,953,874,375,589,186,766,543,355,980,396,491,515,648,159,687,760,289,
260,739,060,080,931,436,488,779,700,023,375,242,716,455,949,095,432,268,249,
841,272,998,587,416,448,145,512,066,159,318,415,556,299,876,801,738,176,739,
095,119,452,744,477,749,869,513,243,582,658,467,711,453,648,218,874,860,224,
664,806,766,653,070,467,862,807,067,873,167,472,944,076,726,771,690,172,567,
254,782,205,422,980,617,393,625,856,305,884,086,893,956,326,871,808,141,781,
576,395,686,328,797,372,934,376,045,291,583,954,344,574,004,149,542,405,841,
690,323,933,023,200,266,697,572,816,147,074,963,919,358,024,390,585,176,061,
576,562,946,736,351,014,370,752,848,505,314,433,900,611,181,580,779,897,734,
584,883,406,753,394,331,911,256,576,265,368,718,825,124,085,651,749,151,989,
560,419,870,718,300,699,684,646,834,829,701,429,372,585,633,584,388,838,977,
146,100,603,761,960,369,618,581,466,439,242,111,995,558,586,392,682,145,003,
395,693,120,177,337,045,943,215,851,727,969,092,695,156,186,062,344,356,589,
237,438,062,731,044,502,349,479,718,923,026,971,533,669,679,246,310,254,391,
358,374,560,816,960,570,732,153,243,593,761,375,753,301,306,493,076,072,707,
333,858,802,319,375,057,899,780,364,105,324,074,262,349,961,282,106,627,372,
235,188,260,384,850,336,593,804,788,676,819,098,500,234,485,940,285,825,994,
648,796,557,657,879,101,028,802,926,840,386,798,457,609,078,975,247,769,144,
025,305,745,994,724,045,741,951,641,403,424,368,596,176,167,239,071,687,941,
058,955,239,191,871,587,546,597,420,908,952,346,529,958,130,681,696,160,484,
769,097,837,512,370,904,820,542,080,409,815,605,721,547,275,106,271,554,173,
510,449,518,537,305,398,064,289,327,129,394,497,473,740,684,156,672,539,060,
921,331,398,077,467,300,451,091,008,580,748,097,819,306,891,858,369,392,036,
619,943,594,264,648,342,814,931,928,865,784,843,562,454,913,171,298,129,553,
401,926,165,693,212,767,513,645,512,584,845,861,570,594,451,643,676,775,001,
779,459,413,268,928,291,315,504,638,582,730,655,313,970,395,477,675,971,067,
619,941,321,742,858,573,167,241,973,724,406,536,496,811,327,040,803,198,952,
076,601,469,965,052,205,814,840,571,176,234,304,265,793,173,367,864,118,411,
425,201,802,561,283,981,586,892,758,302,967,976,818,954,373,316,758,247,264,
872,047,800,832,028,175,289,512,182,570,048,991,889,699,124,500,117,794,469,
845,840,340,485,222,010,070,927,269,033,230,613,493,666,447,290,514,400,570,
482,732,322,398,559,501,904,843,998,920,197,835,989,292,605,997,138,428,348,
141,061,536,085,405,940,182,071,417,097,673,214,988,608,113,088,142,785,537,
686,982,460,965,941,420,542,820,087,430,802,155,558,136,484,592,418,162,694,
333,976,900,531,069,201,681,133,846,005,586,845,727,542,364,889,669,072,662,
578,736,324,840,504,256,592,923,847,324,559,602,026,956,610,881,318,566,789,
582,183,631,955,940,259,242,588,846,242,735,343,612,491,683,375,039,470,713,
343,668,162,068,369,091,446,791,056,103,530,253,553,195,854,312,303,757,812,
132,255,696,050,384,738,808,087,911,655,032,852,884,615,199,798,338,617,433,
838,290,799,073,630,417,303,681,773,985,383,206,884,964,432,537,031,678,737,
141,760,483,185,980,022,726,680,206,995,238,391,202,496,800,415,276,524,877,
992,788,349,197,311,771,019,281,386,894,234,863,452,162,254,969,121,867,183,
621,314,821,542,781,290,635,097,350,585,934,738,463,866,537,484,399,201,456,
779,484,183,314,347,408,997,099,081,321,585,444,516,484,345,983,364,457,148,
785,538,284,584,907,478,272,609,862,310,586,450,602,473,360,754,507,913,964,
466,422,855,106,046,734,033,457,494,569,242,792,859,266,563,001,104,980,626,
620,233,883,088,739,524,593,902,067,929,962,195,768,620,685,981,287,283,197,
988,727,602,656,178,141,604,842,731,979,787,678,165,907,645,582,573,091,850,
647,059,240,999,689,650,599,998,717,377,733,266,010,323,944,282,431,417,503,
048,925,404,756,529,101,943,748,003,989,394,230,524,740,490,348,956,154,363,
865,915,381,152,075,547,947,460,619,116,585,148,587,284,350,147,932,496,061,
133,966,131,971,763,194,196,822,242,426,453,524,738,700,199,904,327,299,150,
004,229,059,382,724,592,992,914,913,857,714,756,415,327,858,000,466,707,618,
545,623,011,603,538,553,596,127,227,382,038,635,818,367,606,184,348,069,228,
104,588,521,795,734,220,139,241,778,663,318,703,021,346,607,469,985,838,734,
081,689,995,645,774,702,107,783,683,531,067,459,819,891,245,785,873,176,297,
738,287,928,960,155,888,616,794,100,644,661,899,008,833,780,034,250,364,964,
339,022,266,871,203,240,328,561,674,792,142,503,759,555,289,998,055,418,855,
299,361,444,658,263,654,967,140,548,678,216,365,184,965,061,062,296,461,830,
003,419,032,542,758,462,834,426,459,456,078,699,379,940,255,245,301,271,310,
472,293,775,295,995,423,498,958,366,265,698,456,212,778,943,854,683,158,717,
954,369,820,445,758,043,477,859,602,032,189,020,959,181,089,370,666,014,532,
195,543,194,821,767,612,658,183,099,177,204,798,026,374,300,251,942,416,435,
660,573,181,179,578,092,226,636,015,243,567,106,477,208,734,042,203,811,267,
630,800,118,407,917,565,890,120,946,235,542,595,125,624,045,493,067,838,451,
949,192,253,974,017,095,773,710,027,562,703,649,667,299,919,894,766,526,801,
064,678,243,219,214,662,557,216,528,772,974,304,800,685,641,288,622,100,530,
901,171,461,656,876,517,820,441,939,166,834,142,549,136,970,941,493,902,302,
155,565,973,205,676,684,512,506,822,149,360,789,602,118,898,941,303,072,984,
476,341,585,461,995,515,359,016,216,419,629,687,175,969,450,202,818,849,058,
532,902,528,642,566,318,900,596,972,216,851,584,639,244,675,729,449,467,878,
286,824,640,342,837,633,068,541,094,488,455,304,156,179,843,681,543,175,804,
791,463,478,960,687,705,444,262,861,772,833,206,723,028,957,378,217,267,443,
992,237,322,237,340,038,356,849,241,716,944,726,951,278,790,246,040,123,176,
452,576,726,474,961,749,207,733,771,390,418,786,071,407,685,899,966,351,208,
843,736,218,365,558,520,465,382,605,046,788,291,931,541,354,834,481,622,419,
015,991,938,460,495,408,322,506,982,906,174,811,117,849,764,926,719,789,117,
625,723,896,872,274,858,698,347,911,507,837,662,448,273,652,208,838,270,008,
390,876,680,688,350,494,394,013,434,098,989,213,056,874,944,190,201,945,397,
972,843,102,423,134,173,210,860,117,718,911,326,350,729,301,025,301,257,547,
782,074,133,448,891,455,023,803,285,412,717,612,110,394,236,967,587,545,131,
100,748,892,404,682,507,759,660,784,453,137,989,409,579,783,106,946,664,763,
459,982,926,625,771,508,454,310,335,971,889,653,030,673,322,518,338,721,782,
467,982,156,499,473,132,495,822,237,652,731,228,552,701,404,209,960,080,541,
867,643,589,801,368,149,946,968,796,307,772,879,307,608,389,611,104,761,604,
168,894,492,986,437,088,416,251,406,225,076,798,570,863,629,125,437,327,164,
060,836,621,960,463,567,497,042,122,360,081,526,239,014,438,527,937,951,200,
010,975,192,505,346,284,275,386,543,368,397,097,998,297,310,654,062,932,504,
847,041,104,867,260,147,621,350,852,575,570,497,551,255,858,724,296,513,433,
979,380,285,971,332,520,164,719,948,255,409,229,137,295,004,119,719,206,564,
466,090,346,592,334,400,200,326,142,823,162,309,070,499,742,169,259,842,188,
370,935,347,529,514,902,407,327,974,101,008,086,573,014,417,370,541,172,526,
775,960,409,253,746,992,772,585,758,995,028,563,304,874,093,105,363,980,167,
931,976,912,420,749,805,378,306,250,526,836,114,453,522,162,933,946,947,743,
020,816,162,300,534,469,561,989,016,668,409,174,202,443,923,573,341,096,260,
390,431,744,791,160,419,414,880,533,590,734,374,649,213,127,550,495,924,024,
916,504,667,998,598,415,769,229,443,099,802,216,415,315,328,262,540,931,022,
298,988,159,986,375,249,683,658,845,943,363,083,823,238,369,266,443,847,954,
313,897,473,438,691,450,485,708,903,872,899,845,408,393,728,318,313,780,442,
233,926,564,342,836,373,276,485,985,609,268,573,119,523,751,405,840,651,611,
356,391,301,141,981,483,331,256,761,849,691,128,033,425,381,292,489,237,001,
641,594,166,712,145,187,286,000,963,751,697,538,469,979,586,948,581,203,736,
376,619,430,730,845,768,018,805,454,604,277,743,971,286,334,439,482,764,166,
047,825,039,741,953,139,951,072,056,649,976,666,774,775,405,444,558,423,015,
491,247,652,203,247,346,279,929,422,294,040,847,628,919,585,211,846,022,735,
265,213,629,453,019,207,560,810,631,727,425,579,336,547,891,912,445,324,354,
458,878,149,843,795,049,831,235,574,407,469,101,975,939,116,541,185,871,390,
622,669,981,746,751,088,063,423,935,026,131,378,049,154,616,138,370,761,374,
133,603,235,061,339,345,857,543,306,574,820,498,996,576,111,751,410,304,260,
556,547,085,503,394,404,980,898,212,648,971,064,827,864,668,036,287,406,374,
947,573,545,000,536,735,528,131,935,340,595,474,054,314,801,002,382,044,819,
359,935,320,282,134,485,833,499,680,494,408,110,537,230,914,037,216,224,230,
199,326,335,576,701,516,210,162,987,156,365,747,391,996,871,842,602,776,685,
101,783,578,493,019,527,583,751,662,501,829,996,657,384,677,161,095,563,579,
350,733,892,384,453,261,558,625,090,169,716,399,391,159,472,052,848,208,286,
398,060,525,767,908,157,567,924,541,072,599,107,877,159,097,891,006,023,604,
469,915,220,449,546,829,612,675,733,228,637,999,105,359,423,291,672,360,365,
472,469,081,314,336,402,072,672,924,165,362,385,327,369,743,037,663,942,740,
805,042,560,830,900,176,249,785,186,640,666,192,147,977,099,413,000,689,195,
777,210,182,434,228,999,258,153,838,327,078,130,152,634,925,671,495,764,012,
904,345,927,098,422,672,346,815,484,599,553,351,389,474,575,880,188,262,997,
680,409,807,988,371,614,985,104,020,553,456,349,594,170,351,057,382,072,112,
539,151,095,983,658,342,292,544,355,502,848,700,727,670,031,613,494,208,544,
254,197,256,886,330,151,648,010,987,055,880,450,856,822,925,656,518,457,639,
507,553,681,698,339,570,373,541,981,157,214,493,956,320,856,195,637,682,828,
265,466,843,440,069,033,816,705,795,747,256,611,060,844,601,667,216,701,971,
424,185,264,266,904,555,854,907,052,831,386,508,505,399,234,309,767,483,256,
284,648,587,421,212,108,428,290,225,345,339,877,245,906,518,081,847,439,779,
096,574,536,408,643,592,079,186,455,647,623,265,213,353,619,561,538,768,394,
112,436,863,195,842,854,863,898,482,780,642,382,906,565,984,361,632,244,250,
838,486,184,661,937,812,034,883,478,159,094,616,128,699,749,367,082,125,472,
588,567,746,075,786,826,463,644,432,489,119,203,544,745,967,434,199,128,443,
482,164,532,880,592,202,534,614,135,866,519,395,133,766,890,233,928,979,489,
150,808,023,261,074,683,151,029,039,643,581,932,843,827,760,034,213,988,858,
839,286,937,984,039,536,347,744,395,366,802,061,627,051,848,645,246,350,546,
201,466,445,020,512,408,089,997,642,014,970,598,219,540,388,477,576,534,023,
374,861,649,004,424,117,084,077,830,788,946,640,848,018,029,705,319,289,616,
302,399,176,835,635,904,307,546,975,453,119,036,911,903,703,981,967,056,205,
443,230,974,190,886,083,586,303,878,756,655,740,782,291,239,209,637,782,232,
376,507,256,019,836,126,267,110,848,624,749,123,349,683,869,055,563,771,778,
410,526,712,931,098,557,083,866,221,423,881,300,146,012,218,481,149,844,023,
160,912,464,528,660,207,280,324,092,464,935,811,901,026,351,545,264,898,489,
735,986,130,096,678,997,205,839,953,916,307,688,474,524,853,951,877,394,512,
393,513,669,920,986,450,764,638,939,699,881,302,063,753,240,292,278,115,324,
014,580,062,161,170,762,568,389,791,548,975,751,012,774,562,155,299,408,370,
359,582,363,178,412,572,755,684,608,353,099,166,874,727,116,098,196,405,561,
657,311,280,522,580,848,027,704,143,617,828,677,788,341,601,407,905,739,136,
623,750,380,386,632,396,984,416,650,145,750,523,300,447,813,267,484,272,395,
218,564,131,914,217,175,995,577,527,425,243,138,892,457,726,347,266,416,593,
389,121,456,727,337,966,518,803,032,118,419,106,726,524,141,803,762,551,436,
881,451,701,027,098,505,478,023,200,382,082,688,545,694,094,326,809,701,768,
100,474,350,650,965,934,320,634,383,058,198,540,536,078,171,797,740,901,624,
672,824,644,925,803,423,353,451,119,815,203,713,829,178,612,114,026,028,305,
494,047,662,316,424,508,465,438,626,937,620,364,186,224,083,590,159,467,918,
411,234,090,570,653,257,989,749,080,576,895,498,297,883,645,536,677,630,338,
589,156,482,166,248,993,228,066,783,010,949,092,502,108,885,830,018,555,349,
829,934,160,385,166,943,816,590,365,326,341,045,718,992,903,175,540,088,966,
582,607,498,614,627,730,269,678,683,372,643,099,174,889,630,853,500,169,658,
942,173,297,344,611,815,011,606,494,771,761,101,991,438,639,655,176,430,544,
709,888,873,186,720,137,439,240,723,959,371,074,788,268,574,709,405,725,918,
326,659,374,479,600,482,482,369,494,577,460,801,671,944,886,552,355,513,920,
106,607,224,164,262,765,718,880,812,632,610,317,391,074,062,437,552,259,551,
819,963,196,405,407,571,929,097,932,988,760,942,117,227,929,189,563,873,988,
056,998,306,774,109,838,255,842,486,834,547,162,320,951,196,784,119,980,049,
525,861,850,491,583,493,666,117,714,552,063,694,275,219,655,905,351,694,994,
521,894,242,579,734,381,802,436,834,338,240,065,087,921,796,160,579,702,770,
239,354,489,961,990,051,926,633,116,397,516,536,959,545,701,564,023,655,472,
633,304,593,705,489,799,065,981,607,486,562,738,981,285,457,143,830,953,195,
620,750,499,962,328,512,680,180,315,337,925,145,944,125,353,856,742,926,903,
741,482,113,720,687,394,698,462,483,135,655,270,888,867,166,526,385,169,201,
306,096,217,969,956,472,295,351,752,670,622,716,799,508,599,414,679,836,535,
862,468,945,864,812,530,522,909,635,574,016,488,205,432,255,512,205,829,179,
587,690,879,011,477,187,285,390,533,387,863,395,388,069,902,815,954,964,438,
101,147,241,117,627,638,486,723,474,800,901,046,380,442,995,440,389,707,431,
139,580,280,816,537,845,918,095,400,649,082,681,175,633,599,831,259,271,731,
092,847,129,854,269,132,774,044,568,461,147,205,927,860,044,203,074,252,911,
178,206,080,838,583,244,509,350,049,536,258,623,582,186,925,924,866,021,403,
955,679,460,443,830,305,916,624,369,944,318,888,486,782,077,685,145,270,746,
740,508,924,198,275,546,931,534,642,835,488,109,824,149,045,774,535,811,675,
098,276,891,474,998,282,959,646,012,546,260,714,155,099,912,421,198,948,473,
892,956,336,481,577,006,947,710,914,308,850,852,143,400,384,459,787,656,474,
788,061,009,188,355,878,066,750,008,761,185,571,958,008,158,722,356,959,281,
398,446,454,428,919,293,934,527,570,401,381,552,320,570,932,970,004,463,541,
968,064,091,617,591,767,178,402,233,550,215,347,577,197,915,710,590,007,506,
187,844,280,054,698,813,628,723,116,394,541,937,543,516,300,355,852,988,401,
330,521,599,274,545,255,171,228,464,525,436,684,182,575,665,638,054,157,539,
843,638,244,365,325,524,924,675,560,704,847,190,255,545,596,622,570,806,892,
422,760,588,515,580,055,736,154,997,146,197,339,677,510,063,308,244,767,380,
442,610,223,639,108,498,760,762,166,282,706,347,968,073,433,313,271,391,029,
989,781,299,210,096,417,528,595,266,224,557,430,431,881,116,840,741,867,820,
085,206,562,778,149,987,486,888,681,388,627,188,031,349,489,424,068,658,077,
231,008,727,909,980,581,234,684,186,122,123,749,136,478,232,785,072,986,743,
363,440,805,679,886,228,607,574,383,134,967,114,840,249,274,711,084,243,841,
235,937,620,486,438,260,239,760,780,138,038,681,891,064,748,212,901,100,166,
095,976,722,869,218,343,056,668,848,833,307,571,343,471,631,811,041,167,258,
553,509,544,642,689,501,969,511,837,866,398,291,162,963,628,128,927,893,418,
851,117,603,640,462,068,779,669,582,951,451,364,073,198,405,588,369,993,983,
021,082,226,053,714,089,674,922,824,505,398,759,475,537,828,654,026,896,064,
792,022,554,677,777,366,812,253,782,747,456,071,181,261,997,214,598,577,153,
198,181,687,081,093,452,910,019,379,364,781,943,048,813,456,388,494,615,019,
066,298,072,933,625,572,283,499,375,501,583,570,670,834,941,717,388,161,566,
695,247,409,197,582,389,123,631,246,885,293,651,041,737,696,432,501,617,343,
966,772,837,747,721,645,092,574,849,743,934,947,809,610,659,121,814,902,619,
181,077,798,378,558,172,681,181,217,697,393,227,093,206,906,088,788,663,624,
945,183,921,236,124,561,816,525,632,280,000,529,063,751,943,225,463,459,182,
696,354,886,977,231,324,643,365,924,383,493,277,572,569,301,678,614,823,468,
808,941,013,210,088,727,110,834,178,517,783,391,605,744,589,505,763,109,240,
784,639,426,231,123,002,511,827,361,357,588,656,411,495,355,148,960,973,203,
980,948,177,329,272,242,837,539,202,691,982,455,978,589,198,496,610,352,229,
177,740,266,327,665,945,771,361,824,766,156,090,204,991,623,839,946,192,530,
897,647,640,542,856,151,817,139,225,423,746,208,181,834,252,555,635,093,906,
884,053,056,376,942,916,721,247,125,173,951,794,572,677,730,149,672,652,469,
251,542,582,372,612,741,117,115,283,672,004,585,045,398,599,990,172,431,453,
545,979,442,464,104,914,070,336,272,387,326,603,855,779,063,924,575,671,875,
338,234,492,267,652,625,661,858,995,389,364,869,516,977,054,740,249,366,780,
295,687,432,964,198,661,129,868,684,465,631,287,858,043,286,874,560,208,635,
783,528,897,740,746,345,185,251,777,522,927,301,047,998,592,984,756,074,461,
995,164,726,574,592,217,103,164,342,062,574,922,601,427,074,879,650,207,171,
098,599,772,128,288,812,193,250,568,014,417,252,554,252,367,968,732,794,776,
927,094,142,824,311,823,819,206,822,101,826,117,852,977,192,102,497,085,964,
339,645,556,875,231,808,454,260,836,309,154,503,873,151,447,644,018,011,335,
131,572,981,420,409,279,973,879,797,003,712,103,285,205,657,597,585,814,512,
266,842,671,233,564,913,594,093,827,818,857,731,311,800,386,417,369,548,500,
524,940,223,930,488,952,969,594,860,294,294,042,801,029,956,614,922,486,847,
699,561,889,137,000,952,194,083,644,356,652,755,460,719,863,475,720,842,295,
500,091,961,997,402,394,958,210,678,383,404,558,401,207,283,314,711,013,300,
660,085,948,684,797,357,544,323,105,855,050,245,668,209,212,980,433,268,459,
107,724,118,091,651,223,527,415,475,845,409,367,959,562,638,779,748,280,348,
283,808,845,133,147,434,389,570,389,487,809,746,501,088,874,376,259,506,081,
287,273,431,901,629,422,715,039,321,687,463,259,480,986,853,289,757,010,190,
192,999,525,716,966,729,826,191,951,830,596,776,607,831,852,988,518,702,588,
915,264,952,055,147,052,387,510,554,219,268,586,790,983,468,613,878,331,709,
594,404,020,762,861,476,770,633,981,304,299,445,552,609,540,594,237,985,493,
037,497,772,846,549,266,886,130,711,521,850,789,781,897,655,282,178,751,440,
949,008,472,542,954,523,704,033,481,803,954,746,045,413,111,704,304,255,526,
734,547,093,228,449,725,477,998,599,151,095,459,382,441,837,301,490,231,329,
513,729,344,724,421,500,105,869,585,329,092,823,268,159,767,661,306,408,907,
962,758,609,945,925,543,008,268,802,790,484,603,356,775,403,571,719,467,555,
295,656,439,679,959,907,073,786,501,157,495,988,979,718,892,849,039,774,931,
654,121,682,731,423,586,612,958,943,225,093,567,067,251,603,922,663,189,301,
809,351,533,126,682,650,227,721,396,423,411,304,615,337,754,726,455,221,835,
364,090,081,286,208,699,478,872,114,597,202,806,742,545,597,268,740,036,220,
970,918,366,452,618,315,938,467,203,133,509,232,301,848,807,266,573,723,098,
826,150,170,814,601,535,813,278,269,749,538,518,776,344,080,824,042,581,335,
202,384,127,096,757,448,013,471,544,729,117,548,225,846,765,075,640,790,751,
899,350,515,091,124,156,459,749,341,021,552,448,937,324,454,513,819,037,883,
624,536,497,656,584,245,206,742,295,279,707,010,659,540,146,729,278,124,354,
351,525,459,801,940,797,773,384,628,353,043,541,648,760,276,269,577,245,736,
158,136,022,451,899,186,330,441,254,789,948,554,177,683,086,810,703,379,507,
637,908,342,414,623,583,788,953,331,817,494,733,983,061,408,959,891,226,126,
323,741,409,318,582,058,175,404,404,906,083,039,835,084,360,097,240,163,707,
436,864,207,934,373,350,675,865,295,775,269,319,369,982,561,586,731,390,042,
874,899,503,594,633,462,174,539,087,396,106,771,890,923,519,906,130,081,843,
535,404,049,373,663,065,220,578,042,320,616,035,890,100,475,746,386,706,081,
448,252,573,577,329,165,034,882,069,800,640,368,278,854,339,959,022,611,433,
738,092,375,440,123,459,230,420,297,422,383,057,788,649,511,233,375,032,522,
084,736,816,505,931,980,557,419,936,048,400,838,240,917,957,063,770,663,921,
131,280,438,536,828,187,702,558,119,381,564,043,023,916,466,165,658,709,806,
305,385,081,043,438,353,341,739,198,353,047,593,883,470,608,380,979,515,347,
140,859,928,953,566,124,101,143,440,276,901,764,000,800,674,736,859,903,921,
343,632,899,536,783,679,281,721,534,734,752,511,347,138,147,509,390,088,968,
629,573,160,597,036,558,281,139,247,430,750,024,235,188,938,350,500,670,549,
748,211,771,000,739,127,091,005,703,693,141,719,303,293,732,115,290,545,999,
748,332,583,033,398,703,479,174,707,458,970,197,130,614,738,111,268,525,825,
354,663,342,210,612,865,199,242,100,701,876,684,817,794,371,701,254,929,335,
837,551,926,449,588,704,951,765,236,709,957,666,192,588,104,795,187,489,866,
909,058,024,461,136,498,967,994,582,223,333,506,412,535,240,665,612,219,420,
807,128,563,047,039,818,650,383,278,529,014,173,176,275,655,665,097,553,041,
721,543,539,746,185,110,653,792,261,752,084,804,374,887,445,665,077,903,842,
040,220,990,490,838,337,236,957,354,831,310,061,876,155,489,229,812,220,974,
379,138,030,639,185,990,691,624,439,253,853,583,146,450,994,077,994,066,800,
668,200,258,194,312,460,126,801,430,767,143,927,877,204,531,392,538,190,362,
609,301,344,357,132,181,836,411,303,287,817,028,215,639,075,246,939,962,674,
098,455,513,324,649,996,956,555,628,198,799,613,204,681,645,070,587,444,869,
814,059,013,302,349,144,559,206,027,772,061,839,353,855,895,184,793,874,092,
809,241,338,350,256,103,059,401,368,468,856,778,933,642,774,278,717,442,352,
879,605,338,915,444,845,020,961,879,349,186,173,970,943,100,148,660,631,902,
919,607,392,545,001,514,895,692,065,767,990,211,311,611,051,646,748,342,385,
398,242,670,199,413,427,761,903,503,280,700,474,905,321,022,406,333,339,076,
274,725,439,695,639,106,989,413,492,739,953,811,356,473,615,326,941,769,233,
867,244,895,721,819,676,657,236,345,993,585,980,925,789,279,584,063,352,054,
383,880,815,878,923,104,574,983,008,868,841,359,703,620,271,582,192,510,686,
785,865,950,163,451,294,296,592,313,253,695,795,204,433,482,115,086,004,168,
220,521,646,441,052,442,573,441,008,492,127,808,561,281,585,795,486,283,893,
663,670,562,815,078,428,009,448,398,396,836,762,396,870,163,932,488,842,647,
601,149,586,340,964,933,529,305,293,043,292,872,018,768,333,164,510,981,485,
786,683,795,840,402,461,780,168,099,040,503,043,163,132,409,256,471,017,760,
039,634,316,701,916,311,208,870,149,461,057,729,965,034,510,300,297,639,295,
429,218,560,292,929,311,107,433,676,821,399,063,916,128,632,649,079,466,468,
848,778,692,239,682,899,492,904,880,942,077,885,431,642,874,144,881,473,179,
244,164,311,885,448,373,228,403,614,429,979,702,719,341,868,440,836,222,824,
105,988,321,208,390,400,478,198,814,014,772,898,917,778,354,544,595,946,351,
835,226,336,740,837,191,564,466,516,752,002,008,934,193,186,446,366,562,554,
412,453,844,224,849,097,471,583,599,880,368,710,002,559,056,889,965,042,481,
632,383,027,822,172,674,703,208,416,124,683,376,433,818,675,636,679,578,773,
153,090,398,612,726,594,102,252,031,379,215,691,627,914,621,093,784,921,024,
762,449,933,647,946,716,609,973,548,966,746,405,783,801,197,264,625,723,165,
605,792,939,161,995,133,820,210,380,904,313,309,192,795,931,522,985,642,549,
588,984,392,993,835,543,835,267,107,376,791,499,511,898,593,969,121,905,827,
386,088,319,211,616,497,516,535,688,364,706,693,917,309,383,127,088,014,391,
267,815,112,489,040,979,817,021,590,740,168,389,361,571,949,797,563,912,967,
870,764,232,527,685,741,313,999,307,093,409,211,939,864,937,007,912,851,571,
121,576,414,230,233,770,495,011,239,049,856,546,491,708,191,395,126,114,152,
459,573,709,960,304,438,096,772,791,940,267,648,201,992,457,314,747,900,387,
525,218,298,682,651,364,433,175,817,812,634,661,010,693,712,602,870,502,268,
024,653,697,701,522,865,310,914,788,187,184,365,648,522,142,392,436,196,162,
808,443,397,806,300,875,375,076,398,166,112,193,398,348,425,672,575,950,566,
687,678,983,049,758,178,211,140,811,946,141,875,242,289,229,720,808,456,092,
799,708,142,417,446,269,170,776,007,137,568,343,959,728,183,621,949,273,525,
359,338,770,298,500,712,019,827,828,473,935,481,858,564,885,971,561,149,742,
612,616,366,547,212,913,953,100,735,182,869,966,008,044,989,358,401,348,845,
681,051,273,232,055,034,009,073,737,467,560,283,002,844,507,217,512,448,719,
411,671,972,966,147,985,301,396,946,912,182,559,618,045,741,200,102,122,420,
393,300,070,486,196,496,384,070,616,212,185,758,758,866,124,116,416,126,024,
229,391,064,826,854,047,576,433,397,033,484,466,018,665,755,430,535,602,137,
570,334,457,996,402,626,194,384,777,081,343,403,706,238,440,826,132,222,337,
885,712,589,965,887,201,280,077,273,666,802,884,788,554,308,312,206,287,877,
391,191,034,915,093,591,134,567,708,505,274,745,687,473,006,319,107,488,826,
465,504,740,279,253,945,003,320,191,491,135,863,192,907,300,605,292,175,064,
017,446,356,820,132,516,346,042,743,312,277,836,645,456,230,099,162,089,376,
299,243,362,416,088,512,588,712,762,203,680,661,817,321,524,261,010,843,567,
212,043,686,777,938,847,843,086,499,250,743,279,692,613,632,674,243,493,246,
732,032,229,865,032,423,293,134,565,098,784,749,198,281,087,569,533,984,072,
832,575,083,377,883,195,046,969,315,694,181,921,227,005,594,485,472,106,468,
631,729,626,791,891,920,497,644,998,567,653,200,965,888,002,179,903,010,699,
934,316,522,747,548,201,902,625,323,910,280,137,702,039,577,259,559,039,394,
186,162,640,902,673,550,676,279,121,530,313,836,981,147,047,594,285,727,342,
688,203,233,369,383,682,511,621,219,955,151,952,912,431,359,567,805,229,603,
853,524,215,868,709,050,543,798,266,329,341,094,255,011,483,044,338,251,391,
260,404,978,159,020,667,987,924,091,452,847,048,591,362,635,704,997,873,474,
000,647,926,955,220,530,230,793,606,170,637,904,702,037,315,325,810,928,885,
530,483,825,379,736,798,661,287,125,152,605,003,468,561,830,764,956,668,989,
441,985,056,323,801,706,627,541,063,331,057,926,400,357,526,737,510,664,492,
788,847,176,799,781,213,132,839,324,112,555,996,537,474,376,538,169,841,387,
811,047,173,231,271,152,911,034,543,379,329,116,498,333,122,757,582,840,602,
705,666,350,620,108,248,461,643,573,636,090,812,936,138,446,668,317,916,183,
761,915,058,938,321,092,757,011,891,072,442,525,212,508,080,191,821,334,067,
108,378,630,148,814,582,954,498,040,538,310,349,754,807,268,625,605,298,064,
994,250,381,706,725,553,994,698,497,046,775,725,507,113,545,776,310,977,572,
042,833,830,460,351,319,439,483,953,469,781,842,579,243,332,016,656,189,577,
515,875,460,328,267,381,472,243,023,521,993,526,395,761,419,617,843,221,682,
330,590,118,689,853,890,889,078,983,811,963,837,558,323,830,821,379,867,502,
760,002,454,074,951,371,216,464,629,028,660,529,048,050,403,142,181,511,733,
566,935,671,482,905,078,325,642,122,866,182,256,102,847,793,883,314,510,107,
993,169,893,478,800,085,697,150,440,579,286,269,521,514,403,888,857,696,544,
651,562,793,665,547,745,999,642,280,560,370,824,788,196,857,043,021,391,388,
580,733,171,793,429,031,719,566,752,486,512,396,338,449,497,151,573,782,315,
739,329,397,318,652,144,918,400,314,691,245,713,904,413,966,965,991,873,612,
395,192,367,719,036,442,632,156,195,592,366,085,097,071,560,287,395,030,745,
419,772,255,455,954,867,952,551,876,774,112,604,006,516,982,124,275,555,060,
747,333,965,659,022,987,335,733,762,676,405,559,794,943,991,400,401,619,287,
470,710,395,493,390,365,861,090,221,693,208,303,305,088,806,308,167,083,329,
490,511,041,294,235,367,380,522,085,805,168,596,923,921,410,224,717,922,941,
505,818,339,025,542,319,024,289,790,112,486,905,404,203,833,112,615,803,671,
186,346,725,436,270,495,351,759,126,388,059,851,792,581,314,725,457,061,246,
044,116,821,935,274,186,789,733,902,508,833,671,591,614,355,252,744,421,106,
377,689,836,898,837,332,350,896,325,723,177,582,941,890,313,031,572,966,632,
192,026,363,317,472,868,160,835,510,979,147,573,353,166,479,073,246,901,799,
420,879,701,913,420,666,633,626,947,878,053,354,511,235,858,711,747,054,600,
470,735,208,059,432,806,734,155,601,045,155,451,585,705,588,742,761,619,929,
780,118,070,282,966,334,846,054,352,195,437,543,322,316,211,915,732,177,559,
837,178,504,816,858,244,578,002,282,432,588,780,755,063,694,368,368,722,533,
053,337,813,421,467,965,195,475,961,786,739,139,197,236,549,992,807,583,731,
152,383,126,502,708,292,833,375,977,604,706,552,278,922,007,471,648,105,993,
698,805,912,036,775,415,958,440,282,209,976,795,449,672,261,712,438,051,688,
876,521,880,937,883,359,997,667,225,446,789,864,177,773,596,189,430,569,937,
227,502,286,752,065,731,060,205,121,252,041,478,556,278,116,878,070,805,271,
747,845,021,203,146,110,255,641,725,200,647,480,533,280,329,498,552,970,440,
169,129,537,569,689,944,412,161,706,792,903,555,479,550,670,477,663,149,058,
618,355,604,646,195,944,182,925,718,871,794,261,409,516,572,895,162,314,107,
931,789,590,228,596,010,177,884,422,475,355,607,721,252,697,419,391,641,156,
797,194,923,854,935,190,575,579,458,480,951,087,813,427,311,527,937,238,388,
085,115,344,850,215,036,254,742,967,880,429,391,889,608,421,523,346,262,452,
556,172,489,757,298,123,394,024,570,567,107,749,081,267,054,342,140,507,962,
859,210,409,984,515,182,532,883,780,989,340,151,064,579,307,524,667,631,064,
664,016,101,985,900,519,560,299,839,328,358,750,565,733,280,036,071,412,550,
130,996,912,091,726,793,031,124,582,318,241,994,942,959,149,036,624,420,001,
598,357,925,087,029,795,978,063,406,098,890,571,613,267,195,147,173,954,509,
936,562,376,227,780,135,580,128,481,558,949,879,115,201,749,265,384,599,718,
353,985,778,671,839,873,862,138,136,460,518,013,671,447,225,132,185,316,552,
797,622,932,809,557,949,140,385,682,607,057,256,841,519,622,230,746,823,577,
543,865,590,682,787,458,592,107,367,022,197,852,631,111,079,459,683,306,345,
675,632,825,327,746,621,073,521,303,548,812,806,620,452,327,818,095,966,042,
741,942,245,703,635,040,779,251,483,352,348,532,391,670,861,627,731,023,898,
064,750,934,513,660,646,737,448,228,745,001,429,205,320,554,257,006,966,811,
129,304,725,639,727,939,244,028,976,968,658,316,962,166,808,811,884,822,660,
760,607,420,739,064,410,883,783,935,935,983,269,999,043,454,225,106,951,447,
651,361,886,317,240,860,988,482,807,021,581,883,897,629,277,208,917,521,277,
269,188,604,588,595,698,495,145,436,231,766,362,778,383,507,242,913,174,087,
880,774,996,354,229,745,705,325,676,612,715,551,006,978,013,485,933,290,496,
254,020,366,547,913,295,285,506,657,391,345,496,783,087,745,242,651,351,117,
946,811,840,641,780,098,168,712,001,111,249,582,110,561,553,044,989,869,771,
820,027,366,140,818,421,869,946,949,837,177,962,344,405,844,369,585,544,478,
126,759,599,795,280,221,471,736,914,779,165,643,205,485,378,970,116,017,459,
880,081,089,674,085,827,231,152,150,449,168,495,810,646,512,983,974,530,989,
834,757,284,271,611,044,874,462,716,514,304,900,823,125,145,632,316,693,956,
984,393,571,366,464,849,032,031,245,367,696,775,142,075,590,792,518,508,815,
598,983,977,176,016,823,303,450,969,019,967,283,081,663,976,394,191,039,371,
185,833,633,826,868,158,866,837,367,846,219,344,964,691,327,882,343,302,506,
012,468,212,694,265,907,423,019,175,593,303,732,057,718,751,523,978,438,134,
172,314,765,611,025,595,624,659,430,960,535,789,045,739,058,591,442,881,820,
805,736,395,247,242,474,032,639,633,869,426,110,918,136,174,445,030,278,537,
146,422,190,526,352,090,056,766,581,746,234,085,499,740,743,590,837,576,230,
046,504,293,505,131,460,974,770,831,318,656,349,524,316,979,625,176,579,821,
163,474,796,507,908,821,911,512,049,548,728,693,860,309,127,486,836,396,083,
672,694,192,704,610,120,917,888,805,280,271,526,969,397,897,090,644,921,365,
865,302,890,611,607,922,634,851,113,033,136,663,609,214,009,764,198,781,036,
503,200,713,438,096,338,479,680,617,038,107,118,300,752,101,268,667,094,920,
259,512,352,928,938,755,542,831,998,915,467,082,017,033,863,522,006,586,145,
490,463,713,226,058,358,343,933,338,529,112,490,156,782,057,785,432,468,117,
110,982,805,342,247,044,485,431,158,056,774,775,598,576,801,979,164,413,045,
141,137,523,464,227,077,052,096,445,823,170,203,005,319,383,341,405,558,192,
490,677,483,143,813,931,171,811,396,533,950,865,954,100,579,092,938,110,732,
236,355,582,040,264,372,252,151,334,016,872,144,677,586,821,511,420,186,586,
370,468,658,065,763,242,459,275,351,105,802,383,815,471,751,535,158,066,289,
917,510,992,935,904,800,163,237,190,625,665,403,787,431,958,367,964,461,960,
710,870,765,404,148,403,681,424,263,554,519,489,149,560,165,744,270,541,822,
401,268,649,746,159,276,492,859,162,462,262,652,641,496,847,977,654,353,152,
085,678,271,028,215,515,962,725,583,784,935,165,864,045,536,848,683,131,321,
634,286,467,287,858,646,647,614,139,730,326,921,046,190,671,387,738,272,618,
130,451,492,219,431,435,640,344,410,393,691,280,530,848,149,543,002,492,411,
890,951,350,567,830,622,669,230,554,102,810,071,501,808,748,553,334,411,987,
180,257,607,881,199,382,151,385,595,942,694,819,614,752,856,385,849,467,789,
646,725,554,880,482,838,312,071,890,342,737,912,298,935,945,033,287,361,399,
446,635,916,543,635,496,934,652,335,422,812,101,833,854,163,803,477,578,629,
503,772,648,605,539,999,447,154,460,316,289,677,327,988,341,793,395,436,845,
030,244,178,859,787,142,840,299,577,664,148,312,900,273,031,173,114,648,011,
413,268,709,512,550,419,413,709,290,790,067,352,223,353,429,655,227,554,278,
615,649,396,225,555,084,371,349,966,132,947,971,445,844,628,034,736,947,238,
605,204,700,541,509,671,064,098,689,490,439,769,340,654,896,160,674,641,030,
264,336,760,706,665,122,931,382,130,365,165,693,768,180,112,509,224,572,172,
266,235,916,581,966,159,316,486,003,500,767,524,611,799,418,916,829,750,976,
556,690,120,115,737,060,467,261,684,540,377,784,291,079,740,067,476,701,325,
244,954,925,817,548,569,158,638,597,107,207,501,190,794,106,512,233,975,087,
866,443,164,475,851,482,374,737,942,756,247,728,962,860,890,021,070,737,783,
265,619,477,871,775,014,855,651,557,243,747,412,675,382,051,089,753,899,111,
449,112,211,570,861,923,537,955,756,229,594,297,102,049,458,394,042,504,555,
811,927,925,357,653,021,012,821,711,706,325,541,752,641,186,736,129,323,175,
795,735,400,887,792,904,610,917,792,466,526,461,540,310,430,675,472,222,602,
847,657,296,387,418,705,000,394,730,707,958,531,936,867,733,831,527,257,992,
281,838,347,936,517,028,586,510,105,088,863,287,610,609,861,124,548,787,902,
465,125,832,316,256,575,468,846,282,656,041,063,376,023,975,431,336,404,460,
836,966,874,854,422,013,253,921,044,200,861,772,040,985,443,959,403,721,422,
170,421,947,682,075,186,166,950,348,168,957,441,983,188,930,359,621,606,776,
770,091,502,527,734,671,267,439,476,516,933,857,959,864,490,450,280,308,311,
743,616,922,815,702,366,380,534,889,761,611,210,347,874,461,519,254,696,459,
053,454,758,829,728,286,331,714,755,710,138,628,306,106,570,038,007,709,953,
497,803,569,763,122,661,282,572,866,902,553,332,183,266,665,566,678,486,673,
395,815,950,317,710,244,395,827,251,551,638,548,680,440,621,836,060,192,230,
289,127,540,120,026,592,350,226,605,569,413,668,808,460,250,606,477,527,749,
934,955,229,890,405,829,329,241,382,571,925,541,579,877,378,803,821,817,767,
235,347,474,203,345,898,776,301,807,694,876,643,592,717,062,802,531,781,020,
219,052,781,524,814,199,096,385,059,293,852,511,101,643,317,176,301,649,984,
652,886,545,393,686,095,246,323,370,454,040,008,304,104,028,158,818,046,047,
366,327,567,709,911,017,780,558,757,872,551,920,097,375,656,050,038,434,364,
207,700,399,811,763,668,840,117,746,033,839,236,083,244,322,024,606,932,997,
752,072,982,718,880,920,392,236,597,342,673,064,395,436,078,218,472,082,400,
048,184,944,578,816,697,634,600,675,577,279,321,664,230,613,685,986,609,951,
334,793,691,600,227,615,264,570,866,241,766,581,368,726,227,580,701,669,113,
201,655,513,689,589,595,353,198,412,884,314,961,787,415,622,223,839,287,116,
701,021,965,547,093,038,497,676,643,779,473,305,040,921,570,073,888,884,674,
422,871,049,110,958,315,171,513,647,560,546,082,234,725,782,855,821,174,134,
051,569,716,524,357,655,385,614,655,235,351,314,695,541,821,607,366,208,474,
096,665,687,301,993,754,437,891,155,047,423,840,358,825,275,337,555,843,713,
056,366,055,829,782,017,645,434,536,218,263,758,910,724,065,209,834,185,302,
330,363,429,856,720,721,956,024,277,610,865,116,388,839,245,249,630,778,416,
344,584,591,696,806,805,992,634,201,893,129,719,376,998,130,361,441,969,352,
588,825,622,084,886,210,183,634,389,510,987,932,142,401,157,659,657,816,466,
715,844,384,949,798,360,284,251,825,350,778,973,594,609,015,731,446,871,880,
554,968,858,724,494,361,454,255,298,071,040,091,810,429,764,058,482,081,217,
449,790,635,241,139,777,294,468,497,122,796,428,019,262,599,584,627,071,738,
406,230,680,261,488,398,601,054,909,460,574,219,447,521,603,423,880,168,376,
992,752,924,565,503,950,482,660,275,077,341,034,513,001,312,009,271,105,514,
586,583,431,062,852,518,751,783,469,006,167,939,457,770,622,797,629,066,610,
859,754,483,761,718,879,670,973,743,366,326,452,581,098,786,537,806,480,733,
175,445,719,664,800,008,460,093,490,567,221,009,271,936,951,413,808,326,547,
023,941,688,288,871,781,269,118,900,124,705,695,649,126,841,745,676,988,018,
654,094,753,301,782,434,891,311,600,588,160,690,531,614,603,896,041,070,119,
583,251,144,008,903,313,402,566,148,310,237,068,433,871,232,156,475,291,994,
044,922,459,843,032,184,973,703,177,251,000,626,519,288,299,804,399,404,903,
474,218,510,932,648,862,651,750,886,351,424,885,749,478,466,503,465,028,086,
548,672,708,985,807,421,941,605,124,463,304,500,300,135,932,048,305,861,646,
354,866,501,680,580,932,059,756,101,052,496,323,833,859,595,493,895,220,400,
085,552,210,244,915,202,567,535,793,656,230,296,485,532,896,893,296,481,067,
749,106,433,244,056,294,948,608,774,447,381,034,275,798,711,469,335,124,092,
384,762,833,213,942,600,288,293,479,461,523,427,007,577,880,461,259,197,365,
289,600,883,854,559,399,759,901,743,802,523,188,766,147,189,229,964,024,891,
347,310,525,359,446,666,218,423,861,099,144,493,387,599,508,180,514,203,037,
163,242,300,289,616,829,933,893,706,701,179,843,374,186,278,919,634,789,575,
162,429,874,978,978,667,478,298,794,268,802,833,950,085,554,176,147,103,240,
771,498,074,566,967,957,689,993,369,057,414,676,423,136,427,569,816,909,546,
161,535,550,431,619,843,130,492,109,600,619,935,767,876,808,069,662,186,866,
124,985,838,539,525,519,292,145,735,323,830,475,410,366,435,824,277,133,860,
225,710,692,179,439,165,269,659,999,954,316,677,662,088,827,906,523,291,456,
429,689,061,032,119,009,179,635,792,924,899,899,523,676,870,429,641,942,385,
966,608,411,625,654,083,460,343,217,991,464,571,108,230,890,553,598,775,538,
330,621,748,029,315,218,666,295,636,749,836,257,606,679,364,398,504,810,970,
739,796,749,386,242,783,635,055,179,348,943,112,265,348,995,467,500,369,854,
331,390,771,892,460,125,005,697,207,341,978,384,528,064,465,536,603,730,127,
806,261,728,043,691,006,864,978,043,127,768,147,905,175,557,113,025,281,741,
121,695,529,486,754,989,019,602,163,400,002,873,664,999,392,304,152,260,442,
877,026,394,554,665,087,335,209,142,836,790,722,532,457,496,141,732,351,991,
244,364,029,282,840,165,115,797,352,011,438,054,555,580,307,947,840,701,436,
210,546,980,803,081,731,710,872,966,421,862,782,334,304,528,130,581,598,875,
862,807,268,647,504,597,362,789,411,804,223,756,170,437,619,032,168,863,518,
096,945,767,728,968,932,022,830,142,054,656,068,864,529,675,714,194,862,778,
710,661,917,186,587,748,121,099,118,453,669,363,515,667,071,384,468,649,674,
385,665,462,286,377,655,214,332,043,389,923,589,701,720,329,232,089,710,515,
178,669,716,800,947,118,942,930,626,844,775,088,269,286,453,601,699,202,253,
969,498,359,918,792,633,766,846,759,172,197,121,974,114,730,847,292,335,154,
761,553,720,939,863,489,298,654,974,194,149,127,608,976,429,774,944,250,337,
335,469,974,709,569,688,401,841,931,228,254,502,564,272,072,373,449,820,253,
238,924,751,313,972,272,340,089,183,975,670,930,559,830,231,740,376,730,573,
643,290,194,942,919,794,657,065,337,287,134,961,604,537,111,366,572,022,217,
500,067,306,711,057,781,500,327,424,999,036,166,222,524,367,170,449,184,038,
487,558,199,096,159,822,514,088,174,631,379,993,264,785,410,283,096,975,278,
279,344,756,453,333,667,739,005,697,222,916,091,018,398,219,064,183,743,669,
459,598,962,923,617,871,785,268,552,415,180,447,814,692,607,100,727,178,446,
976,104,457,248,201,495,609,052,395,267,573,570,459,956,199,572,808,271,750,
747,552,792,663,714,543,161,262,799,064,392,851,450,717,854,806,359,240,803,
752,617,281,726,032,631,119,255,361,010,749,676,512,474,576,061,906,075,250,
181,481,676,303,569,664,616,685,691,331,373,833,696,612,901,165,658,037,453,
730,509,229,367,806,474,429,694,557,107,398,001,130,995,639,288,818,079,494,
610,326,544,680,865,507,782,339,924,110,372,029,093,964,637,788,949,339,067,
071,214,128,759,732,720,815,560,430,899,694,105,357,288,328,952,162,575,946,
455,671,339,999,808,106,339,381,380,859,387,010,833,795,800,303,214,283,580,
898,208,618,217,951,213,110,841,114,545,960,738,466,921,537,181,964,668,808,
756,614,987,301,583,228,540,817,936,301,161,821,842,116,343,534,704,359,446,
299,433,628,807,853,325,422,899,096,339,359,101,138,514,805,522,954,456,028,
626,084,868,258,401,377,349,727,376,192,428,631,485,379,080,842,194,719,556,
164,203,056,343,320,104,441,499,003,836,246,563,484,648,262,455,006,990,114,
620,856,805,513,141,716,975,663,398,015,701,377,313,749,294,902,105,145,495,
173,857,718,238,592,853,819,415,528,739,169,549,520,233,190,501,582,795,178,
470,682,982,396,021,894,185,700,733,862,661,163,028,944,860,882,412,353,838,
293,708,460,198,721,849,117,425,092,825,084,355,958,270,621,233,467,604,389,
689,332,700,154,652,727,111,273,968,807,162,885,690,878,486,122,322,966,546,
358,969,565,034,518,608,053,479,350,046,269,196,255,251,001,917,649,788,841,
912,575,489,937,475,098,077,051,733,001,929,103,231,019,659,279,585,761,329,
513,942,952,615,005,167,722,936,502,070,812,951,085,333,668,337,409,685,860,
419,806,911,639,570,831,235,614,266,178,704,509,214,509,276,659,103,682,374,
566,393,537,245,002,908,720,810,440,552,743,719,894,158,763,162,636,196,492,
073,114,305,008,919,093,933,118,789,452,673,328,015,422,307,948,784,370,311,
086,377,306,344,623,096,767,052,184,337,098,076,545,340,053,044,510,504,963,
072,669,278,726,740,209,164,800,783,209,743,060,644,537,732,162,246,049,360,
380,450,203,060,004,282,685,794,456,198,355,453,879,024,331,700,292,469,673,
265,575,461,969,372,821,160,323,121,036,799,554,667,068,833,237,133,518,739,
257,350,738,792,467,255,960,061,702,985,057,514,847,013,823,008,667,795,218,
855,824,974,119,788,284,539,770,613,291,193,523,455,100,473,311,127,781,047,
213,335,227,384,102,461,169,455,987,271,237,093,889,547,998,636,341,442,896,
308,151,296,086,717,505,833,888,827,127,044,675,626,841,424,749,918,443,841,
458,914,567,088,807,406,334,359,079,826,964,563,098,869,482,246,999,528,226,
370,262,411,058,713,283,484,847,304,715,475,387,390,618,255,615,502,484,823,
521,373,513,256,673,215,263,392,292,933,513,169,624,359,320,254,135,761,054,
512,661,663,278,370,778,017,464,777,275,528,176,232,907,088,346,194,090,252,
034,799,831,666,159,701,609,788,657,856,598,059,602,784,829,759,199,782,795,
969,035,813,799,129,943,915,638,672,663,011,900,983,489,641,013,403,077,003,
634,252,345,548,436,947,575,603,029,417,181,068,825,698,638,585,027,980,253,
313,709,802,309,740,241,648,678,188,165,001,444,510,791,822,149,683,027,443,
468,292,921,979,320,228,022,609,136,241,063,421,990,436,040,518,237,103,152,
948,481,327,115,573,440,164,588,307,661,735,385,152,677,830,971,436,930,365,
444,984,830,784,851,704,687,246,086,269,699,622,498,313,850,110,337,864,185,
046,356,774,756,592,441,761,173,290,826,827,551,497,105,204,777,598,105,634,
752,907,188,572,729,952,114,921,529,406,619,821,608,784,687,463,959,943,382,
553,104,235,493,982,022,531,312,827,237,609,431,120,438,664,894,611,429,742,
419,242,163,991,826,896,047,298,553,910,827,910,946,902,257,360,079,982,942,
917,892,483,688,901,686,418,611,725,508,059,498,592,392,440,530,830,601,022,
610,419,800,624,645,791,917,019,510,869,133,874,899,617,893,870,640,747,473,
217,724,365,925,562,805,412,565,278,623,874,744,228,271,367,339,435,008,677,
908,460,423,151,119,714,007,225,086,730,907,685,368,179,442,225,643,404,146,
059,068,473,962,960,920,297,712,435,669,378,538,802,343,040,739,062,901,762,
882,634,122,179,061,050,319,830,813,884,324,072,056,404,968,589,318,203,604,
008,024,783,709,512,973,740,210,608,286,804,674,829,932,290,261,033,435,388,
572,309,719,698,015,340,410,928,924,106,026,826,266,586,857,636,297,659,185,
669,153,160,497,157,067,316,271,195,854,005,945,526,082,085,350,195,911,177,
654,045,533,702,561,320,854,812,718,489,404,303,630,082,860,315,238,648,536,
828,189,276,031,054,312,909,937,030,299,495,862,524,177,364,457,389,314,097,
811,654,205,364,853,362,249,614,978,742,055,417,099,775,123,142,040,880,545,
405,869,338,480,289,605,536,484,335,335,553,060,033,370,643,696,229,972,857,
127,102,165,033,708,637,209,107,309,210,803,809,482,845,967,014,890,693,729,
434,088,698,375,302,195,396,086,407,390,875,401,671,945,505,304,753,556,178,
868,316,749,572,484,553,929,430,986,064,483,512,481,809,536,429,366,539,384,
453,961,194,583,900,007,481,072,210,765,688,367,932,603,561,698,695,426,616,
385,302,704,861,983,284,913,697,331,006,039,188,882,020,734,018,846,412,659,
629,602,047,142,158,791,531,381,647,942,883,382,876,632,843,737,223,889,145,
751,852,635,551,089,886,875,484,640,279,278,535,401,365,530,130,291,761,247,
661,974,566,510,413,560,188,383,891,587,767,448,486,404,686,607,629,460,623,
169,783,772,886,414,602,059,449,921,593,159,683,046,978,701,354,935,660,597,
663,245,676,524,345,260,349,716,547,706,596,162,985,144,324,105,668,239,743,
676,197,046,323,502,109,848,530,482,297,856,263,978,286,005,580,200,390,677,
773,833,707,103,619,794,042,368,396,293,349,168,956,030,672,955,783,373,193,
673,042,163,010,818,120,190,813,505,370,095,089,894,798,083,926,827,302,461,
369,279,778,002,115,501,744,248,105,946,465,175,616,064,876,599,858,236,295,
480,954,184,325,437,394,022,148,352,450,976,463,985,306,811,625,467,197,782,
854,119,602,862,187,789,585,573,574,272,206,589,711,225,822,307,037,786,456,
996,725,222,375,173,824,156,038,129,880,045,547,764,237,713,845,088,109,952,
014,684,642,786,583,422,835,875,875,903,845,164,609,165,436,774,219,750,570,
059,709,911,889,680,160,350,655,322,084,086,471,485,917,465,187,179,508,635,
573,003,300,853,692,149,455,855,308,078,398,085,779,713,753,076,487,334,165,
694,720,164,183,100,862,786,127,145,630,787,156,525,941,919,517,161,199,675,
416,128,815,525,823,468,789,627,283,464,464,067,589,229,738,530,630,607,206,
550,022,661,998,424,046,787,360,512,291,750,149,727,318,684,599,568,670,054,
447,626,956,905,081,476,742,201,299,378,390,113,662,181,859,817,104,308,881,
020,566,211,415,519,829,243,546,367,033,877,714,563,001,846,374,878,232,386,
818,555,634,856,598,938,868,815,353,118,570,181,595,142,656,631,390,980,904,
417,899,386,901,233,539,442,325,384,162,200,456,491,836,662,263,606,204,222,
810,920,757,394,469,394,982,057,574,251,823,775,836,673,710,984,589,519,188,
731,816,891,447,393,682,457,479,366,759,597,657,064,681,589,420,551,281,650,
840,267,361,447,320,277,217,690,558,530,217,328,534,905,030,718,953,961,012,
887,244,961,263,697,171,786,992,417,467,381,952,652,735,777,384,847,564,557,
608,809,122,042,919,804,071,080,048,807,966,271,314,666,893,498,822,422,992,
843,171,493,412,154,785,878,067,600,563,501,612,090,672,910,694,224,755,754,
420,403,907,794,133,560,791,244,767,841,130,018,393,262,358,373,350,046,911,
993,387,861,354,857,401,085,274,980,095,256,185,080,906,893,186,278,058,950,
356,707,455,195,478,846,516,441,056,560,555,082,810,122,780,248,202,462,612,
149,379,153,265,180,504,388,701,731,053,003,184,857,431,797,909,653,992,408,
846,922,895,105,099,723,908,758,264,624,233,179,386,957,611,790,036,099,477,
657,876,442,949,513,488,327,235,341,625,636,333,407,695,332,280,647,072,626,
289,295,255,529,269,840,989,185,780,432,590,961,470,908,390,269,972,652,087,
156,561,256,387,305,830,006,633,728,792,061,916,798,907,753,435,520,119,049,
171,066,412,100,063,856,347,884,694,394,432,713,252,406,879,475,861,122,697,
452,244,349,920,824,445,492,594,246,459,840,948,980,197,307,690,170,617,704,
750,621,528,959,083,471,796,458,161,525,088,045,005,888,658,704,026,734,351,
404,573,768,877,136,686,279,541,591,707,778,692,768,084,375,891,337,716,884,
283,528,341,184,818,875,129,626,655,041,397,306,065,952,781,241,886,211,501,
177,362,405,433,017,443,035,558,386,488,546,117,088,852,685,090,798,791,044,
853,161,347,075,684,111,534,493,277,909,841,497,840,666,848,500,464,671,890,
042,147,294,422,524,177,437,880,819,404,540,704,801,578,925,265,692,000,820,
064,649,525,111,244,235,642,336,343,720,085,293,031,561,731,215,972,565,852,
149,799,287,521,335,330,453,563,366,315,643,152,273,151,224,352,167,226,973,
430,604,167,118,993,552,387,591,074,007,407,805,629,056,787,647,769,613,401,
132,475,261,876,170,873,724,073,488,965,245,288,010,590,085,340,201,580,190,
298,462,653,930,111,675,258,326,543,419,978,619,875,824,922,268,276,291,973,
899,502,919,550,354,022,964,366,633,081,037,841,348,969,339,737,723,817,213,
053,010,165,429,542,573,933,382,589,059,591,429,466,684,354,868,263,979,639,
643,082,850,806,517,798,279,219,426,870,496,594,210,321,118,448,091,994,537,
859,580,065,696,126,655,666,663,691,043,717,704,825,698,125,367,918,377,933,
304,995,429,874,362,959,420,107,124,461,297,980,756,338,553,277,022,180,206,
169,590,799,561,843,791,526,007,392,185,634,441,391,554,616,414,056,516,482,
623,624,758,239,943,299,532,347,006,546,868,750,254,693,286,053,361,905,827,
592,709,190,187,214,893,425,144,986,303,937,473,736,780,193,566,094,542,224,
836,351,374,469,623,481,522,135,419,819,166,398,387,070,626,375,872,412,807,
851,478,981,751,686,410,747,670,871,620,111,803,620,936,487,081,402,911,425,
805,430,219,113,896,958,496,127,908,554,172,425,212,565,610,389,938,294,741,
510,006,291,463,463,069,196,634,490,346,129,404,505,564,967,780,522,471,293,
079,436,668,755,474,930,755,189,078,339,959,443,146,046,096,212,337,764,492,
685,331,637,548,982,667,068,033,329,022,470,671,128,198,414,373,608,731,785,
677,281,945,253,030,447,938,095,169,064,995,950,569,133,297,432,432,257,040,
933,193,203,643,291,174,114,875,322,881,822,583,500,125,552,522,290,096,414,
396,239,578,334,601,082,404,775,997,983,882,519,766,467,529,039,622,837,580,
384,986,829,524,466,365,169,004,596,025,227,557,071,356,567,921,038,151,393,
479,072,791,861,800,195,331,011,085,560,177,723,157,886,554,174,703,860,806,
797,731,711,777,549,928,553,979,954,899,883,804,547,464,567,600,497,487,695,
518,246,493,189,304,936,139,827,862,410,974,780,352,668,654,337,707,277,366,
094,613,591,633,474,351,120,204,282,664,396,793,423,375,568,337,909,061,651,
396,034,301,732,445,327,711,037,108,992,579,943,949,818,640,366,534,010,793,
063,393,523,291,615,771,096,971,273,608,184,147,080,097,802,905,053,326,022,
413,514,650,765,299,181,371,033,937,152,038,646,546,287,239,675,499,221,929,
236,148,987,495,194,999,687,119,615,639,185,320,432,775,043,998,063,173,452,
428,186,099,033,144,638,771,459,760,547,596,683,483,043,497,684,404,220,221,
574,918,185,875,826,250,347,286,649,663,139,623,361,023,867,090,105,748,118,
328,974,259,057,571,285,880,869,613,790,612,560,734,316,275,983,255,410,928,
775,636,811,494,942,221,449,692,666,355,089,102,077,321,297,214,588,880,632,
929,394,176,655,221,655,431,056,410,902,665,535,421,098,027,651,072,338,998,
744,150,459,678,301,278,268,330,448,178,457,080,651,366,105,413,090,899,296,
611,158,626,013,823,925,789,213,742,120,153,844,780,851,506,721,031,816,932,
295,965,900,282,868,380,337,675,989,146,558,947,276,697,881,525,936,050,325,
492,473,320,299,543,456,752,643,419,960,895,338,709,569,919,206,599,283,476,
129,664,912,979,576,037,437,623,429,988,702,642,770,606,941,199,446,123,259,
149,695,390,989,814,042,719,716,703,248,532,506,589,640,754,989,182,127,041,
849,877,322,682,230,943,023,179,320,339,198,816,529,881,273,378,601,166,349,
092,578,074,592,512,522,630,330,282,700,805,105,993,444,914,524,573,187,378,
456,971,744,120,870,625,300,236,673,844,747,817,332,496,220,618,948,284,161,
417,293,496,725,188,804,217,757,553,495,949,627,753,180,388,439,876,734,596,
696,369,898,983,445,321,685,859,030,071,240,334,052,638,614,867,181,462,851,
447,663,873,783,388,029,781,562,445,735,752,397,175,704,809,883,116,976,042,
990,724,701,468,147,039,093,483,402,043,447,900,984,301,706,002,933,321,798,
478,310,519,220,448,788,334,614,793,295,919,224,814,735,336,368,778,637,260,
676,227,790,253,471,787,054,366,143,560,036,787,940,958,976,245,448,377,787,
375,079,897,398,340,034,161,922,811,980,104,630,382,654,030,806,726,465,605,
892,884,534,834,009,026,277,496,613,704,305,129,095,828,625,860,548,893,355,
944,623,394,075,504,419,431,086,189,028,414,647,209,515,516,635,963,956,531,
620,338,990,196,904,033,959,063,386,539,645,373,360,169,008,916,236,045,941,
602,433,534,247,813,711,642,602,373,057,964,480,327,436,327,722,547,793,209,
009,850,512,440,075,775,232,164,386,971,091,418,884,373,675,814,621,453,866,
617,064,924,471,004,863,736,578,118,776,531,904,744,849,782,581,787,722,423,
316,016,815,710,899,408,835,502,670,352,170,704,008,485,826,282,754,024,995,
578,662,372,980,293,418,858,327,441,376,114,705,159,147,354,532,490,271,596,
298,725,521,023,964,212,370,215,792,176,920,941,189,843,591,511,623,993,880,
756,017,848,401,700,458,778,397,300,499,792,425,591,380,892,891,322,565,750,
666,076,642,339,185,646,662,792,474,004,084,750,827,682,170,128,452,134,436,
961,734,558,168,425,593,702,124,909,656,278,178,895,845,761,477,169,130,051,
361,958,290,322,187,976,306,647,669,648,339,996,524,850,459,130,113,498,237,
008,139,000,725,110,501,910,543,931,501,341,475,222,806,901,239,212,145,362,
596,101,982,624,034,894,428,473,539,383,783,368,926,797,731,492,766,346,700,
654,808,673,334,180,661,319,499,862,746,523,375,932,029,409,924,531,254,900,
956,975,095,533,170,214,868,207,395,861,244,228,738,662,342,591,084,957,229,
021,027,334,641,626,342,614,588,288,252,775,354,211,278,593,493,694,131,101,
250,735,618,557,232,803,596,622,053,062,018,529,318,276,734,360,828,612,996,
303,760,638,683,253,327,317,920,853,155,338,818,071,033,362,186,599,255,830,
672,624,387,151,009,404,393,570,668,617,369,391,381,137,272,466,451,127,795,
875,312,166,148,888,943,963,421,859,494,295,102,111,250,261,682,671,908,639,
950,206,147,379,025,061,439,264,835,445,960,418,947,318,536,449,248,799,853,
218,844,263,806,802,624,201,818,302,411,795,236,852,958,386,273,791,790,325,
926,992,048,242,857,363,040,516,186,638,373,111,298,107,130,965,981,593,167,
947,478,578,575,600,293,182,180,202,813,040,331,901,784,890,489,127,067,260,
372,198,179,082,415,360,851,818,785,687,185,181,997,992,903,188,632,595,907,
552,284,749,916,030,080,382,436,089,656,217,703,483,175,765,987,221,537,871,
222,462,495,511,135,033,940,363,808,594,711,263,528,815,221,649,148,153,240,
293,860,515,124,270,352,377,518,244,147,668,767,174,739,258,591,995,015,668,
100,142,462,809,624,857,506,786,857,827,212,663,299,879,819,001,549,257,098,
142,431,983,097,352,514,472,338,349,754,797,939,647,405,336,304,871,330,327,
332,789,294,836,011,279,152,320,912,610,433,297,345,522,256,734,554,429,800,
423,420,153,044,047,739,029,003,736,052,077,131,302,161,332,274,588,286,958,
056,365,863,334,137,975,959,345,176,451,427,058,131,213,727,729,605,546,314,
200,176,169,144,361,561,450,848,998,103,583,140,813,011,398,786,818,804,938,
002,349,101,426,311,804,680,750,238,729,032,702,926,251,529,624,124,830,918,
931,851,741,089,703,968,826,043,090,951,174,378,608,256,686,038,599,970,905,
306,213,123,085,700,052,181,596,945,785,315,955,456,866,917,883,412,371,374,
721,767,474,303,864,777,243,807,911,560,135,635,218,256,928,410,535,769,890,
699,239,067,718,977,987,820,363,404,257,271,642,848,007,975,592,561,965,537,
511,596,685,665,825,174,607,616,657,968,962,498,487,962,504,224,992,985,818,
846,500,818,377,524,594,046,884,409,928,818,076,921,674,708,546,133,725,478,
046,375,016,862,645,796,378,780,569,049,102,260,169,059,937,747,793,126,092,
769,686,495,364,341,724,749,878,317,491,755,390,472,750,948,550,193,695,131,
818,967,939,752,975,738,196,464,321,484,877,615,618,261,985,990,086,273,961,
950,100,938,227,551,840,878,637,779,247,012,352,050,906,501,198,940,378,572,
114,212,649,543,081,500,881,435,908,813,544,683,554,047,230,052,090,312,396,
504,143,642,327,845,235,031,325,795,180,655,191,158,463,796,098,989,590,233,
556,631,562,310,609,968,537,949,094,672,214,523,528,103,647,979,282,633,798,
484,329,340,193,450,426,768,770,929,883,351,380,629,460,006,590,926,623,525,
844,393,106,560,906,979,686,411,630,916,644,114,075,397,364,300,558,737,381,
439,608,475,355,583,525,272,542,940,787,808,954,085,879,377,941,362,855,570,
635,541,233,634,544,987,096,326,185,609,472,367,129,466,996,101,003,453,893,
445,242,719,156,744,349,827,419,035,921,978,317,020,877,063,281,383,981,003,
402,417,687,100,831,066,316,588,862,287,594,174,824,444,220,841,421,883,361,
495,327,899,923,987,460,428,693,859,041,976,638,492,028,882,987,517,345,525,
889,972,422,663,299,903,067,645,618,668,659,027,809,592,548,952,196,887,375,
223,537,282,571,055,862,175,334,234,242,292,425,918,901,902,908,482,074,732,
269,311,700,844,593,003,587,249,251,611,246,439,223,529,040,639,955,738,844,
343,839,058,488,614,357,656,208,660,872,571,376,796,303,232,850,704,293,336,
303,595,346,778,547,378,522,964,476,985,293,099,777,107,340,086,415,163,220,
408,117,267,653,842,334,260,882,335,123,068,314,124,092,913,697,022,748,822,
949,900,353,511,187,171,743,340,047,685,127,041,008,293,706,847,663,551,042,
788,164,705,451,661,303,525,494,953,531,452,546,080,665,445,328,213,327,441,
325,130,607,530,980,074,896,111,162,271,153,671,733,113,569,803,972,115,598,
780,079,476,465,807,850,863,161,302,422,324,435,480,140,728,062,710,485,195,
184,347,838,512,503,844,346,215,147,135,874,758,432,425,206,765,951,039,688,
608,671,853,971,515,626,229,916,133,392,785,368,065,984,585,159,647,303,829,
748,162,505,990,291,321,855,223,020,274,922,491,765,614,332,437,453,659,708,
659,364,264,567,797,707,113,421,951,751,481,750,766,351,690,869,326,580,526,
897,965,613,992,214,111,323,008,163,833,795,415,994,392,216,049,740,089,437,
811,764,180,753,607,835,508,948,334,336,265,413,569,180,183,388,851,016,945,
288,905,965,283,928,392,711,546,593,226,714,380,694,068,430,854,029,286,282,
933,902,589,370,089,814,119,189,035,300,194,514,868,287,004,116,864,007,624,
545,616,821,887,842,031,568,122,069,657,632,035,814,727,852,774,136,425,986,
766,719,899,915,823,360,465,260,385,859,216,270,022,542,301,578,928,296,656,
863,158,495,874,039,256,711,154,880,988,610,552,512,216,752,222,835,238,408,
065,697,744,346,533,407,362,928,907,082,093,310,487,893,085,215,252,823,192,
252,763,862,349,656,465,793,956,094,860,378,693,034,793,420,932,100,290,412,
253,825,864,939,923,222,228,905,601,645,588,968,924,553,440,889,253,666,131,
599,799,400,152,387,802,453,712,554,577,385,535,612,900,251,192,149,861,158,
163,335,591,676,014,775,071,443,981,006,997,491,778,270,337,083,867,836,482,
664,913,776,186,679,149,125,327,211,735,737,357,618,174,539,399,652,787,449,
998,362,882,045,880,857,792,511,154,449,511,182,663,957,692,688,991,668,221,
961,640,019,206,172,285,611,704,818,861,742,140,923,381,574,985,346,342,902,
756,714,840,725,367,441,104,252,283,521,043,776,171,657,634,482,259,966,804,
947,071,745,929,139,247,050,567,665,138,783,570,336,377,736,122,860,579,285,
268,667,194,803,643,621,897,894,813,250,507,332,543,839,579,758,850,688,980,
384,171,839,509,160,362,677,186,829,037,343,162,323,694,995,528,844,151,907,
564,048,073,283,539,820,172,908,466,444,927,299,377,028,533,135,426,498,792,
993,854,854,653,533,872,094,999,405,279,211,586,081,526,664,510,661,702,225,
122,853,702,237,817,757,671,105,176,905,372,045,860,890,772,746,463,461,316,
734,349,123,304,318,001,097,280,260,622,180,607,219,745,192,918,819,969,752,
782,423,113,230,110,856,586,687,125,965,363,652,806,227,843,142,455,382,215,
478,853,958,753,494,504,664,197,194,953,684,060,137,832,984,391,410,424,272,
662,598,817,237,295,275,516,250,193,748,921,374,632,064,183,684,512,596,932,
039,346,752,568,231,063,111,482,147,645,331,716,408,531,613,852,601,434,627,
616,895,443,432,124,487,722,835,915,746,877,844,468,079,004,466,860,694,771,
510,465,315,130,166,127,187,176,222,010,361,866,658,952,907,279,371,144,302,
520,118,742,093,520,759,759,999,575,613,251,533,055,978,122,585,788,697,860,
119,279,960,380,153,892,172,943,469,040,021,069,110,017,277,895,039,531,941,
538,528,988,376,633,948,052,624,632,084,366,392,791,947,572,676,354,978,895,
209,815,084,261,125,627,532,298,258,262,269,870,807,148,275,168,936,750,654,
244,296,747,729,573,514,301,479,525,834,273,552,652,931,141,182,969,048,288,
402,770,576,803,525,614,923,900,392,818,135,065,997,884,625,175,330,807,289,
413,147,714,096,753,714,028,215,263,336,897,531,112,714,421,714,836,103,941,
896,761,615,102,845,008,321,313,733,022,092,775,189,391,776,112,725,884,292,
600,561,872,471,380,555,540,103,979,166,452,397,387,455,610,828,889,946,860,
315,315,125,785,589,954,583,753,531,031,002,564,116,329,619,088,017,144,971,
543,494,793,686,419,815,896,230,427,264,238,937,016,643,385,200,362,703,548,
292,896,879,388,429,579,366,268,210,471,326,089,103,572,769,256,511,764,812,
757,226,307,146,778,186,208,908,885,649,543,949,414,972,456,990,656,600,090,
599,340,378,665,693,719,446,953,202,923,016,220,451,863,627,217,569,985,826,
043,281,012,649,383,043,795,085,699,349,732,024,982,018,613,978,542,058,334,
288,290,917,930,355,679,698,806,151,381,268,801,476,551,335,551,851,068,151,
904,230,966,501,727,712,269,600,576,553,701,666,796,996,383,746,648,485,243,
588,121,974,606,787,372,801,746,601,055,630,152,210,926,014,347,963,646,297,
993,866,575,514,451,183,654,742,062,892,510,896,669,797,499,072,432,752,642,
650,038,854,984,880,954,921,728,285,563,451,169,905,056,326,277,506,366,674,
425,776,661,617,142,842,931,738,500,035,737,473,187,016,382,343,401,133,780,
880,523,451,213,118,999,703,207,606,328,031,330,050,862,061,321,097,565,269,
006,312,136,413,861,311,402,801,294,654,975,092,051,060,444,011,808,954,330,
300,459,582,957,430,927,990,544,342,196,344,341,615,549,018,146,941,234,066,
799,209,659,772,440,155,894,145,156,476,789,280,308,461,689,249,635,718,917,
517,974,016,897,189,035,705,597,209,846,404,639,357,731,609,024,021,395,061,
990,268,895,085,087,530,237,396,501,047,533,248,510,917,430,146,944,404,215,
232,124,206,304,923,699,077,341,620,791,276,508,206,548,679,057,015,812,842,
051,247,750,634,349,218,448,831,962,582,519,609,309,257,870,552,221,328,236,
367,653,987,993,735,190,392,427,029,549,087,812,422,230,690,185,208,462,836,
353,931,880,425,995,550,134,748,251,039,715,818,432,876,832,441,159,917,518,
305,916,694,159,417,395,737,746,938,816,518,453,453,600,804,213,496,776,599,
057,840,495,132,246,402,943,465,087,835,918,094,453,707,720,474,810,282,079,
504,950,462,240,296,320,559,019,949,323,900,930,220,802,869,808,190,612,269,
361,426,390,574,339,999,776,723,558,082,847,433,975,408,580,767,733,392,151,
110,507,347,384,109,154,537,958,028,458,069,865,316,391,492,254,388,671,422,
743,749,471,897,846,762,045,884,305,444,107,401,204,183,102,084,252,145,935,
667,448,371,263,579,253,841,328,174,146,191,847,852,161,186,746,510,146,470,
035,759,867,451,111,916,271,116,230,027,258,318,630,462,802,840,027,426,436,
428,056,963,611,287,409,485,565,009,387,596,619,128,847,259,751,518,855,681,
320,320,515,155,270,506,671,249,486,235,387,012,289,380,810,150,272,311,073,
176,563,868,397,178,239,148,242,901,091,648,197,249,335,817,315,958,876,909,
955,314,556,634,601,147,344,459,681,956,376,085,416,203,512,225,579,492,891,
641,617,422,615,096,025,730,058,058,608,849,717,963,851,218,321,212,610,502,
540,929,052,022,406,178,990,133,935,237,020,913,414,566,653,653,189,522,784,
966,597,147,990,280,419,613,200,862,569,701,508,508,309,391,351,292,147,794,
511,226,668,869,158,183,296,771,406,222,518,907,419,830,917,048,342,244,133,
224,798,352,584,463,409,357,231,207,261,590,481,480,848,677,557,854,792,910,
788,721,754,182,483,911,939,552,065,761,047,258,319,181,790,460,229,906,040,
981,623,604,155,894,494,456,621,350,161,383,789,718,176,510,922,026,846,933,
888,264,801,932,563,687,653,474,907,313,610,200,222,890,365,203,476,408,531,
583,947,085,807,409,669,462,697,708,061,191,185,003,525,461,889,777,574,965,
523,349,703,763,352,533,337,318,756,317,484,679,213,014,119,145,964,749,345,
548,671,101,568,746,186,752,824,420,548,318,050,007,468,140,809,641,053,356,
468,131,799,677,588,417,315,772,235,663,838,851,125,978,966,579,511,149,120,
213,447,809,705,686,047,966,979,160,622,820,818,031,902,636,789,149,235,485,
443,326,901,321,477,788,609,168,476,224,830,497,389,785,231,330,150,705,250,
826,952,318,551,666,970,079,097,300,985,675,751,613,803,318,804,126,734,111,
498,039,955,274,373,058,229,535,658,701,623,011,384,203,614,645,656,304,676,
810,500,083,074,834,782,425,312,574,542,173,949,833,935,685,903,364,979,435,
132,662,150,693,292,036,926,748,944,815,688,526,435,292,814,636,874,138,736,
325,875,964,390,434,867,104,933,045,701,556,094,440,107,735,485,371,309,853,
784,157,408,628,998,647,390,408,524,060,289,522,992,050,885,124,881,630,174,
503,746,125,270,581,440,954,542,234,392,301,883,869,073,536,792,515,993,413,
857,653,600,104,296,025,893,343,460,926,583,069,011,247,829,513,804,113,545,
938,281,936,617,500,601,298,603,989,736,051,268,714,991,431,359,722,124,348,
321,336,013,752,072,007,989,648,198,534,276,164,843,718,439,204,082,852,441,
192,261,978,040,102,774,198,373,957,270,678,665,240,773,845,345,504,871,968,
128,103,516,441,668,615,985,305,954,189,930,132,616,495,208,997,485,173,791,
541,633,357,038,904,363,666,610,362,362,018,640,078,578,058,254,507,126,625,
890,503,571,324,658,915,184,587,316,538,582,340,941,607,579,436,587,936,124,
560,769,708,293,088,651,770,068,037,197,271,398,018,627,505,349,737,505,392,
383,330,216,219,023,139,067,325,139,126,207,680,969,020,064,888,812,593,296,
199,417,714,460,969,709,030,711,324,665,700,036,633,452,626,185,115,273,218,
870,107,091,890,633,340,491,927,439,219,569,116,600,441,897,250,246,851,172,
639,173,508,699,088,418,746,629,054,646,994,127,127,548,191,706,966,195,347,
517,015,293,755,685,674,007,228,346,698,612,855,996,401,606,079,402,605,954,
446,801,518,548,240,544,525,131,264,584,915,921,772,243,468,342,656,425,250,
217,106,405,359,409,805,829,960,943,699,026,139,018,238,387,877,771,098,452,
081,320,597,220,069,166,880,880,210,925,842,620,552,198,901,484,148,331,972,
624,026,973,824,734,292,689,421,916,748,677,744,597,309,092,875,093,529,494,
560,710,034,727,129,644,440,308,681,370,355,056,334,091,181,785,949,533,444,
007,152,107,703,595,704,836,338,340,074,741,412,296,568,476,970,471,767,294,
846,582,278,926,133,755,186,299,933,307,827,807,317,002,478,111,417,560,696,
965,672,959,741,274,502,971,252,836,046,970,558,192,510,716,585,873,597,344,
918,850,122,429,414,125,326,819,450,234,652,081,066,686,811,939,761,809,118,
224,157,141,726,990,674,768,097,500,145,031,503,210,408,718,410,511,426,484,
086,617,838,549,340,279,225,766,179,422,388,381,901,136,227,128,659,425,905,
850,581,039,016,718,138,132,192,455,570,847,741,467,293,389,345,711,903,148,
892,052,178,873,316,768,569,017,179,149,366,749,325,949,505,464,886,589,631,
714,583,081,509,191,750,213,300,519,755,509,241,017,303,003,360,256,343,727,
829,475,824,272,265,967,677,738,377,704,676,619,097,585,017,054,313,415,909,
226,789,589,293,694,733,853,972,929,928,025,570,430,480,619,674,165,693,768,
754,436,714,281,654,419,448,786,533,649,425,794,500,105,425,691,183,840,292,
526,070,189,176,624,640,140,374,470,500,787,687,280,100,690,229,305,737,219,
218,484,126,747,873,177,828,855,414,963,224,907,112,687,835,999,851,220,905,
929,061,093,544,660,018,320,169,468,394,009,140,107,391,988,819,438,979,444,
927,516,856,122,761,296,713,244,882,672,631,725,967,968,289,608,604,167,992,
764,665,517,325,321,423,624,138,068,391,971,015,440,422,644,712,267,009,533,
065,767,958,152,209,100,337,112,917,500,367,861,760,390,632,991,877,727,102,
067,591,554,640,968,195,208,614,326,262,919,544,934,500,678,304,740,522,322,
637,057,371,805,924,187,428,528,797,200,736,664,606,937,727,556,220,879,530,
302,331,078,806,302,802,609,860,792,929,119,778,356,314,700,538,434,398,858,
075,349,179,080,426,207,588,422,814,370,294,084,642,701,377,901,898,978,951,
052,386,483,757,137,594,646,034,921,525,679,556,823,848,872,916,500,029,991,
404,020,768,853,699,641,917,040,252,691,902,383,002,396,561,554,336,285,389,
672,064,558,029,807,576,294,891,629,548,220,789,653,401,741,889,327,306,594,
442,986,574,184,576,491,697,802,828,684,366,886,328,190,625,489,838,403,029,
397,672,798,876,217,759,618,725,677,970,835,798,856,455,391,198,806,924,114,
671,047,653,659,932,875,212,081,824,253,654,786,096,092,142,914,467,806,271,
585,725,427,906,793,376,469,652,219,320,419,126,940,161,161,057,844,586,730,
593,056,939,058,235,542,239,162,703,622,464,701,472,092,151,771,933,170,938,
734,931,984,631,827,127,798,052,246,701,656,929,679,867,716,049,741,058,738,
955,265,007,286,562,600,151,068,623,095,469,133,003,246,599,879,848,953,023,
263,126,765,557,911,624,011,105,378,727,954,404,201,408,403,923,595,797,604,
195,302,725,936,285,344,494,934,260,485,840,759,955,824,678,252,389,217,286,
548,575,492,917,680,425,521,776,346,878,551,549,321,540,120,021,156,853,500,
087,674,511,424,874,937,625,279,603,333,567,282,074,831,359,585,161,006,940,
397,374,087,763,119,147,457,080,313,915,612,455,241,960,199,472,743,963,014,
351,890,791,846,952,227,930,971,957,629,109,232,175,657,742,421,361,076,951,
324,344,675,636,065,101,339,135,617,064,997,983,901,403,189,070,991,177,049,
030,779,356,721,924,118,648,682,044,054,946,509,774,795,302,414,237,103,627,
664,992,761,473,409,486,854,489,572,538,412,400,788,487,722,643,007,717,713,
593,899,315,680,594,549,992,218,303,538,620,911,319,358,909,552,825,485,034,
365,055,257,936,087,267,555,734,400,177,720,818,620,312,347,230,496,716,058,
762,574,711,234,566,294,255,246,344,864,836,853,824,901,891,653,229,955,828,
131,446,808,845,346,898,461,993,531,882,514,479,927,678,793,841,838,945,709,
844,370,302,445,608,607,230,534,045,816,107,426,804,170,299,355,883,706,402,
784,590,316,548,718,750,400,748,793,365,714,454,801,764,981,308,142,321,494,
458,534,787,646,303,282,826,418,535,323,051,128,190,971,387,712,905,344,496,
777,686,747,152,395,001,610,111,502,226,855,975,191,183,836,403,294,095,749,
354,875,790,655,450,315,658,987,032,140,760,198,657,971,386,814,881,100,484,
652,865,756,880,821,097,762,225,382,878,331,112,601,733,949,012,818,296,195,
050,710,737,610,598,833,218,134,734,282,341,092,583,432,129,543,853,043,259,
777,807,688,005,624,794,494,385,925,171,873,411,737,203,097,402,561,454,284,
616,684,900,497,173,832,173,266,645,947,283,256,170,594,152,636,922,594,181,
267,972,233,832,576,537,262,542,171,832,734,750,982,602,159,598,069,509,865,
799,586,495,359,450,684,231,845,013,970,055,125,308,205,020,910,459,037,295,
559,039,498,251,343,661,269,919,252,379,990,007,859,378,584,967,315,949,831,
648,321,857,955,623,078,932,856,554,124,520,640,898,408,554,260,954,035,580,
331,347,945,993,510,327,039,583,302,129,665,748,574,316,560,986,126,142,271,
419,127,957,682,552,206,525,434,593,662,786,667,221,347,607,451,108,542,418,
650,170,196,618,883,402,991,630,679,073,820,259,678,874,295,711,607,757,751,
355,706,125,510,841,615,914,262,625,959,300,097,216,075,486,535,575,918,059,
249,368,648,767,312,284,068,780,457,983,384,610,116,227,333,511,460,191,873,
663,179,164,120,919,221,740,725,127,616,478,987,038,394,696,675,294,144,022,
992,261,767,998,637,843,213,240,495,960,457,663,218,428,936,275,010,667,377,
108,092,081,287,188,783,069,764,520,546,502,773,385,478,200,306,002,028,491,
601,442,904,793,134,240,995,477,028,320,133,935,274,656,415,131,152,867,855,
936,728,158,497,595,558,434,817,180,568,227,346,292,158,549,505,648,751,468,
249,531,615,733,130,531,001,286,644,726,324,714,117,968,267,177,383,223,164,
292,707,889,693,246,448,246,770,101,829,092,087,480,778,498,353,984,872,704,
587,780,851,964,134,784,261,030,561,181,899,977,855,741,932,071,059,642,382,
272,135,478,918,129,331,578,410,684,535,826,425,307,901,934,333,967,763,679,
532,790,172,247,664,645,603,152,593,216,990,816,598,922,686,201,492,382,541,
075,418,030,378,923,962,181,432,201,282,121,505,182,335,702,184,316,646,053,
602,313,387,061,512,670,657,274,110,332,511,114,991,453,045,241,986,082,046,
427,001,014,010,452,579,535,521,782,997,298,801,920,269,838,722,899,858,509,
906,682,059,421,464,166,940,212,425,973,849,655,145,244,212,272,762,740,381,
163,642,527,352,703,466,142,952,243,855,484,835,207,529,973,466,378,038,182,
330,349,817,044,819,860,463,931,393,944,360,822,684,224,059,295,020,225,755,
205,479,749,671,546,189,239,337,042,101,342,116,305,514,658,454,750,346,295,
716,015,198,397,046,261,532,958,133,576,964,679,376,846,973,629,118,939,873,
532,732,887,636,144,585,299,859,592,998,681,852,527,232,986,410,991,574,562,
280,380,514,522,515,576,864,742,230,172,358,277,958,742,493,412,838,442,126,
384,340,837,945,102,273,029,598,662,965,558,560,591,362,882,569,586,061,177,
878,632,571,986,350,336,289,748,907,341,154,253,912,737,811,257,816,663,851,
422,038,217,679,892,445,327,146,073,854,578,919,461,967,123,702,850,351,614,
687,511,963,432,291,516,404,125,620,881,683,090,054,821,779,795,790,748,037,
009,377,116,300,227,700,003,073,497,696,733,159,620,032,040,883,357,347,648,
095,741,044,360,714,513,963,557,902,341,901,141,072,050,116,122,428,919,762,
456,569,116,139,140,120,533,865,587,601,011,966,865,473,534,185,091,189,326,
671,920,610,012,718,395,713,621,050,284,162,923,353,893,713,341,577,865,685,
091,926,899,288,765,496,724,311,876,599,860,134,304,685,665,255,218,511,763,
835,314,193,043,328,825,752,685,232,925,074,710,487,110,485,204,434,426,509,
704,213,385,285,399,353,957,496,292,020,031,022,562,448,968,119,152,873,772,
805,303,599,054,324,914,725,002,148,709,301,032,052,351,606,636,155,315,966,
237,466,064,616,360,497,390,314,290,043,088,828,390,441,203,442,765,696,152,
540,272,895,523,566,621,682,681,270,372,667,154,225,366,267,284,870,355,264,
073,043,459,555,054,925,349,649,222,640,545,560,227,170,687,907,119,174,971,
712,867,700,902,980,639,332,881,247,238,079,904,898,992,520,567,980,050,323,
155,271,851,098,805,677,814,079,138,766,201,696,389,283,666,890,181,547,662,
828,919,437,245,249,861,248,522,590,162,313,137,271,937,719,171,444,310,317,
037,596,058,554,418,349,125,821,217,412,933,250,937,481,660,136,007,655,615,
678,049,750,379,691,367,899,936,046,995,418,446,040,212,101,844,475,823,037,
965,791,575,456,472,720,536,904,408,140,567,271,643,350,637,272,123,385,007,
314,511,813,281,683,550,930,315,121,726,736,579,710,441,798,428,982,484,176,
143,472,343,379,173,993,848,908,959,770,052,135,613,567,878,244,822,152,460,
676,831,476,649,903,978,222,291,009,570,151,058,876,829,041,511,235,412,331,
628,114,518,127,733,179,981,761,232,929,922,425,519,502,305,146,643,328,923,
927,008,890,425,646,768,935,411,299,284,209,700,872,169,829,034,451,165,692,
661,829,525,012,543,060,054,983,833,127,183,296,524,858,594,266,084,814,214,
519,862,958,353,082,477,953,821,955,160,610,611,543,561,720,720,039,564,362,
126,699,174,952,420,310,697,226,021,865,788,512,854,166,214,752,788,595,356,
580,891,374,086,533,416,628,607,624,471,231,373,701,181,702,917,535,895,827,
614,152,308,850,742,123,762,564,243,272,143,643,636,313,185,208,046,302,742,
227,187,861,352,287,475,323,034,109,272,201,727,328,357,047,458,900,190,613,
081,571,123,769,204,580,659,268,726,174,102,287,324,361,123,123,379,432,745,
707,659,109,733,717,362,515,583,624,971,730,752,754,504,381,314,930,092,729,
028,002,270,123,705,710,526,330,263,653,306,693,963,265,835,619,313,517,125,
593,696,991,369,029,523,087,792,888,012,879,253,767,380,965,545,108,823,611,
787,335,041,227,532,710,953,504,790,052,693,630,140,195,272,114,888,557,453,
286,171,771,265,712,480,787,215,040,040,321,309,122,384,959,406,965,432,577,
830,777,326,759,691,815,402,196,141,892,736,281,955,205,499,670,420,574,633,
371,161,921,819,037,255,696,142,718,576,224,095,584,341,040,313,385,395,165,
952,527,460,033,509,157,859,549,824,149,563,163,696,715,539,966,085,598,536,
485,667,262,485,980,403,464,804,662,368,361,752,520,845,485,287,753,836,975,
414,062,672,435,656,914,015,872,892,944,767,221,277,931,142,428,419,677,606,
060,704,526,458,714,017,924,245,792,132,265,139,865,829,462,817,630,484,623,
155,899,860,473,979,212,462,678,865,544,655,029,612,055,298,127,815,542,793,
356,288,797,220,905,356,846,700,562,531,679,760,307,207,829,163,778,758,327,
575,657,855,488,472,161,671,688,057,744,569,707,092,036,372,309,550,666,835,
737,485,169,599,770,038,241,075,348,325,211,621,645,956,671,009,653,742,586,
561,079,210,294,478,682,852,668,485,196,285,334,718,687,442,941,489,396,120,
510,204,418,962,527,099,725,474,710,718,003,634,638,287,039,255,847,630,823,
300,814,088,602,904,163,350,301,660,797,009,378,738,979,498,080,151,764,384,
383,428,753,706,105,079,435,210,964,269,992,801,005,042,639,972,037,922,253,
780,784,553,288,226,729,237,661,549,312,373,551,066,713,620,841,133,761,714,
956,939,717,501,339,462,373,839,876,581,500,907,386,146,258,944,429,471,656,
897,488,885,574,320,329,795,250,859,485,925,854,269,596,544,098,923,723,924,
552,039,983,992,563,779,703,260,036,927,640,899,106,700,538,481,944,653,907,
398,588,145,810,281,123,856,782,262,004,742,253,552,254,555,392,518,543,523,
222,526,091,855,048,969,495,041,716,699,739,013,335,864,193,256,338,980,369,
663,034,026,210,579,719,321,813,499,449,163,980,510,934,799,861,741,936,443,
103,473,441,569,150,053,354,077,104,764,660,735,531,951,050,544,204,684,897,
715,047,461,712,426,811,356,768,429,668,397,874,990,941,352,316,624,444,446,
746,758,901,937,927,170,137,642,543,786,803,416,025,763,918,284,694,535,585,
756,557,596,407,402,870,366,353,721,744,276,892,465,019,632,475,155,248,241,
685,804,801,355,055,252,472,764,110,991,809,469,576,643,190,928,587,754,653,
347,966,662,731,029,447,234,726,714,105,699,383,130,500,182,273,874,170,468,
676,001,348,643,283,364,499,567,437,801,876,258,576,533,306,279,742,281,733,
372,815,999,623,793,638,107,738,923,522,245,097,097,721,350,508,681,307,781,
999,982,927,093,236,451,519,552,341,553,845,390,071,601,203,056,075,627,994,
239,379,375,714,123,401,658,780,537,229,112,008,122,866,829,137,645,177,106,
400,812,313,485,866,968,360,946,342,043,907,530,928,001,165,209,761,101,983,
114,601,558,422,473,609,069,329,795,288,938,848,995,719,785,638,648,577,021,
012,931,465,706,727,883,723,001,477,506,548,860,611,361,515,661,358,858,870,
426,403,024,588,932,876,497,257,815,686,449,254,192,908,486,975,809,820,437,
198,278,106,345,016,966,120,132,181,264,962,947,407,596,460,320,540,065,941,
836,551,038,368,726,314,777,896,428,734,817,442,019,101,619,346,005,488,002,
356,668,651,978,002,492,764,843,245,428,345,207,684,156,413,726,017,090,212,
844,948,803,854,436,921,465,612,210,509,909,909,105,073,922,652,694,561,750,
557,893,463,505,223,402,173,094,260,915,517,760,987,720,504,433,301,039,061,
919,080,797,624,760,686,502,015,225,150,312,485,280,402,906,547,678,749,443,
221,973,407,956,504,681,752,212,316,698,467,031,452,088,126,451,047,061,744,
450,496,006,023,820,343,576,052,654,589,139,872,344,960,757,630,885,750,491,
881,930,026,521,001,331,412,145,531,376,659,723,339,608,461,337,353,979,722,
153,726,164,340,279,071,849,468,498,945,381,528,042,024,862,532,483,336,437,
517,459,519,073,394,889,726,452,445,969,857,339,636,284,608,168,688,987,562,
830,673,351,307,847,685,016,364,708,735,047,054,220,067,737,828,372,413,660,
618,754,970,690,465,005,243,389,360,358,926,697,996,432,897,748,850,462,808,
166,847,734,082,554,978,163,527,419,765,198,763,159,784,258,651,616,107,615,
971,244,404,266,953,846,398,656,727,702,555,680,597,407,041,371,754,134,161,
287,270,677,715,079,251,765,347,614,965,484,602,577,732,356,931,389,130,496,
217,179,238,033,335,413,055,923,192,896,151,998,869,161,179,541,380,169,177,
830,775,182,969,701,115,593,807,330,319,501,578,981,097,331,706,424,619,765,
251,699,491,884,811,602,187,163,575,382,180,056,872,539,365,562,561,714,317,
602,724,977,480,667,368,412,879,642,876,379,861,519,275,714,597,487,069,563,
489,734,589,151,795,284,785,524,951,633,628,429,092,405,213,489,195,076,842,
223,327,555,716,396,823,758,313,572,829,778,166,907,611,986,457,573,364,715,
390,818,110,507,086,139,893,552,408,113,925,404,172,746,874,938,668,706,826,
505,225,767,860,728,388,596,204,626,397,015,604,659,374,415,762,737,042,254,
669,164,614,930,466,905,335,746,121,507,240,385,829,282,993,256,513,247,898,
907,807,502,716,344,205,036,346,984,431,387,847,088,837,907,663,400,892,126,
164,683,478,684,653,486,359,304,022,513,331,000,968,186,947,238,715,856,726,
034,091,963,227,711,376,452,256,603,505,015,689,842,151,384,875,469,416,953,
020,062,028,902,092,779,182,802,905,807,314,396,829,743,536,322,321,195,730,
107,935,949,858,489,127,044,783,830,956,946,581,652,365,995,854,901,492,241,
454,302,179,842,755,951,771,833,750,983,791,560,686,003,210,755,830,253,096,
313,770,821,874,170,325,502,045,853,776,388,317,587,516,179,620,528,565,555,
757,891,784,015,620,359,834,028,971,099,276,507,103,058,770,890,132,077,412,
810,282,153,433,514,122,152,425,325,255,827,334,499,025,415,334,101,306,559,
882,176,784,367,440,663,819,059,315,974,791,969,706,734,487,169,836,851,209,
339,890,885,291,844,755,171,509,768,899,824,463,271,572,650,143,842,976,648,
503,035,686,942,971,949,018,937,654,687,950,722,009,203,072,088,269,828,171,
584,039,316,901,667,747,153,533,505,633,509,809,098,720,319,509,363,712,639,
649,691,682,121,628,622,614,207,861,792,613,237,871,087,555,512,163,438,951,
305,014,531,648,407,904,010,163,384,365,432,023,307,141,784,794,908,593,250,
338,305,445,814,030,375,444,627,522,730,677,887,511,309,533,590,349,182,712,
050,485,772,089,438,971,632,741,034,090,548,131,699,983,508,452,269,103,024,
843,160,423,944,877,836,749,336,759,688,761,595,270,440,957,918,740,342,909,
618,071,223,091,141,739,007,452,951,617,698,646,854,234,975,631,394,535,626,
048,056,001,934,452,896,961,303,555,607,802,446,581,196,112,906,372,087,337,
487,737,350,034,618,534,999,077,933,904,859,828,826,123,964,681,797,101,259,
631,218,060,361,917,129,159,059,545,271,426,581,257,777,368,505,100,708,428,
365,139,947,771,765,135,949,114,830,623,893,551,207,608,724,629,734,679,589,
676,412,607,560,181,130,670,139,550,493,532,969,398,173,602,410,526,365,971,
109,797,720,636,707,303,727,498,406,103,874,801,421,981,489,016,632,959,416,
130,052,904,573,664,016,751,123,331,959,769,165,775,969,638,178,137,526,197,
313,431,149,347,296,874,095,994,583,180,078,019,766,904,411,419,792,906,616,
593,068,923,088,139,704,079,074,876,298,229,233,026,403,941,556,195,273,340,
399,283,909,011,295,986,567,019,878,096,376,880,388,450,540,917,059,377,278,
359,864,214,713,380,499,191,511,348,634,711,988,264,977,162,961,715,209,801,
507,759,948,769,971,236,204,312,844,412,198,884,455,004,923,708,424,582,574,
282,396,986,845,625,644,319,986,266,171,354,900,807,767,094,216,172,087,034,
809,056,478,889,800,967,782,339,391,444,302,040,812,507,752,550,770,942,227,
056,903,772,027,165,635,705,220,119,184,307,426,040,949,993,797,267,753,400,
512,260,304,419,591,918,406,078,551,246,952,721,253,366,327,621,362,383,765,
428,601,176,722,324,829,172,128,427,202,193,398,824,598,574,496,605,103,950,
779,940,156,093,496,774,192,652,931,652,920,137,300,127,259,653,832,576,298,
731,030,784,417,922,494,520,335,271,247,028,566,870,284,710,317,807,732,532,
135,216,472,385,151,176,156,438,721,075,792,458,122,015,232,144,270,421,124,
895,179,854,112,215,764,349,384,812,808,885,902,820,099,856,442,406,369,437,
378,261,122,436,565,847,009,880,417,218,499,163,329,084,072,472,464,809,814,
965,801,991,816,635,650,082,564,709,035,434,519,029,489,459,035,475,687,214,
597,152,168,715,084,764,402,549,549,130,079,448,121,766,971,513,886,311,418,
606,487,327,046,750,831,494,977,220,919,407,054,752,648,770,421,989,446,861,
731,580,160,373,397,577,230,726,952,303,225,885,997,041,911,813,380,730,165,
333,757,232,012,952,811,061,357,499,678,268,939,543,871,276,807,601,054,207,
670,301,831,849,020,067,899,213,451,908,140,015,259,180,752,356,268,435,108,
015,084,642,020,152,990,046,602,110,805,018,423,304,295,837,599,513,746,837,
029,837,907,904,013,621,024,084,189,964,250,755,529,230,045,028,384,606,992,
972,887,021,806,051,006,505,085,432,773,817,759,006,310,630,725,370,770,158,
901,077,266,983,376,634,360,528,119,913,066,848,773,643,216,394,510,577,000,
054,448,954,805,488,256,340,994,977,932,431,945,938,919,641,279,441,535,221,
618,860,300,310,188,479,637,076,488,352,299,012,732,437,884,491,394,075,737,
763,435,943,159,006,543,136,267,306,931,532,668,930,483,257,106,214,733,696,
992,203,877,274,439,916,107,505,794,506,619,254,841,098,147,859,736,785,937,
123,541,567,495,747,715,345,185,055,848,881,580,299,359,192,701,606,779,306,
860,094,881,881,302,702,371,776,242,546,922,107,984,829,577,099,171,084,977,
593,139,230,985,747,226,434,524,271,593,025,683,908,323,315,292,985,568,599,
100,081,577,914,930,085,178,697,321,302,378,958,035,882,287,054,938,708,961,
843,366,998,433,941,572,766,922,979,663,035,494,593,013,227,854,115,322,005,
496,700,681,951,834,080,357,157,265,796,464,029,714,754,925,354,081,643,227,
592,268,389,921,052,789,172,870,321,793,363,022,511,856,475,919,933,094,746,
324,989,478,039,998,669,610,640,672,483,337,328,644,177,467,352,141,086,157,
462,104,730,542,803,952,812,633,881,691,439,311,243,660,495,807,806,806,187,
047,160,931,220,436,982,244,151,826,232,242,748,717,186,692,227,236,538,914,
341,047,395,116,704,862,205,775,715,018,907,636,902,356,669,856,030,786,436,
351,446,667,720,172,486,475,836,874,605,366,704,076,794,959,412,834,839,512,
892,087,057,607,210,512,988,364,980,735,276,796,844,377,545,894,015,923,715,
367,876,367,798,164,134,031,743,421,622,337,431,573,359,233,106,322,698,572,
126,427,356,613,924,703,690,762,032,651,100,582,604,678,099,241,692,115,653,
994,748,843,889,127,790,505,974,077,088,278,718,004,695,878,352,314,585,057,
671,091,671,603,687,799,444,907,192,652,777,489,933,765,121,332,925,141,830,
945,951,589,790,232,073,554,089,349,368,060,997,457,665,346,291,634,705,557,
140,784,134,360,556,108,751,843,008,643,135,117,307,870,854,534,705,843,993,
700,776,431,177,266,297,621,925,556,019,960,062,135,747,881,770,534,796,106,
370,538,837,428,202,785,418,673,480,692,536,881,720,221,596,657,096,253,088,
977,103,160,094,670,588,299,060,875,711,365,643,585,552,199,912,620,188,015,
895,520,435,194,553,154,132,788,291,657,467,558,957,133,406,353,361,298,332,
018,033,411,773,849,409,825,863,880,253,465,425,427,224,763,793,490,216,721,
549,981,744,389,317,196,875,905,658,603,193,327,066,906,341,863,338,193,350,
871,080,421,426,313,864,061,506,342,172,892,347,836,878,620,319,469,693,979,
109,696,578,141,107,898,641,107,385,019,508,096,880,992,383,451,485,182,232,
269,319,810,618,150,555,509,793,918,232,362,457,946,641,063,757,062,202,341,
961,014,548,630,119,107,050,340,846,965,920,425,703,689,853,838,004,546,756,
485,347,614,602,279,983,785,156,761,941,286,305,162,676,705,786,487,320,241,
787,128,916,441,001,179,487,164,809,112,852,401,672,957,904,959,344,208,204,
470,023,549,243,935,051,523,697,200,328,708,334,864,414,149,971,165,066,037,
244,917,028,226,888,601,639,490,593,251,256,971,571,512,517,368,227,370,671,
998,061,716,156,858,871,596,742,977,096,269,349,497,940,143,258,427,350,049,
573,399,860,040,584,843,812,527,662,336,521,413,267,299,231,083,725,331,461,
652,678,402,387,978,342,686,736,177,026,703,658,289,335,030,876,018,649,036,
144,808,165,625,602,760,143,467,742,110,464,386,355,047,488,201,821,809,833,
906,762,019,365,551,459,083,295,625,900,151,980,988,760,822,633,612,492,667,
163,933,711,712,735,974,680,406,426,124,208,860,314,326,214,883,474,676,297,
088,174,742,360,838,911,822,281,835,411,221,615,741,654,180,439,846,657,323,
165,507,406,399,755,476,196,588,814,621,759,250,705,956,869,657,670,431,411,
100,166,405,611,175,653,379,541,114,383,306,097,227,517,368,517,911,646,086,
194,504,403,227,244,434,702,934,113,824,430,817,892,583,035,326,348,794,341,
543,160,910,118,036,501,598,914,798,261,508,250,345,046,086,478,856,871,274,
793,841,086,213,592,538,183,604,188,707,078,130,955,772,672,649,561,240,989,
641,694,935,139,354,653,783,547,773,191,472,382,663,204,126,035,524,564,116,
931,081,267,081,197,762,246,153,176,792,152,361,988,527,381,494,966,163,273,
104,132,523,958,553,867,826,389,509,530,966,474,033,751,013,719,019,750,970,
123,662,025,504,890,592,376,143,268,331,084,361,589,297,541,903,599,311,277,
955,308,056,014,923,318,523,836,327,298,122,865,275,388,101,981,796,635,103,
222,175,451,001,210,660,806,668,166,514,910,649,112,523,665,253,183,196,343,
764,725,635,584,530,990,552,918,822,599,929,773,132,518,930,066,575,433,333,
592,802,442,688,866,452,633,819,294,778,800,963,215,833,009,882,470,096,671,
339,839,845,857,083,946,774,449,157,859,511,275,726,130,197,767,907,006,618,
238,902,380,141,768,926,483,402,146,027,008,586,722,214,017,569,494,975,773,
126,622,214,399,962,779,459,221,145,627,734,075,844,417,321,280,814,137,953,
953,346,263,498,514,816,063,170,957,639,320,825,693,994,227,851,259,347,181,
582,395,086,992,197,332,202,260,966,525,781,266,458,900,704,850,588,133,810,
666,381,642,753,179,250,894,903,930,603,151,872,957,366,727,684,128,453,267,
454,484,371,881,053,674,142,071,859,423,285,364,449,127,647,657,361,769,433,
930,483,976,236,760,064,795,936,112,918,802,000,163,851,535,537,963,546,640,
740,337,954,455,425,538,490,328,516,337,201,985,266,371,054,169,511,496,387,
548,227,276,866,016,096,533,541,395,437,037,989,357,708,065,902,998,123,125,
129,012,921,444,342,684,856,820,302,710,219,589,783,360,814,336,204,451,064,
784,692,493,223,673,110,053,689,813,711,563,096,302,895,613,600,575,682,181,
475,443,230,467,768,399,547,513,597,555,663,260,169,919,757,917,159,248,780,
535,619,175,324,471,364,114,163,517,689,029,375,645,482,094,599,086,821,651,
612,085,309,428,736,599,204,250,498,636,627,463,752,391,969,330,289,283,888,
584,828,560,976,117,789,005,453,371,396,123,889,955,584,138,998,665,609,226,
111,076,116,442,570,818,831,727,085,208,697,883,273,356,495,231,812,219,307,
712,911,989,791,583,486,342,012,184,880,415,769,673,926,441,851,819,128,007,
334,751,807,084,579,355,737,334,692,331,752,798,121,234,863,898,790,735,403,
609,817,618,876,708,354,454,436,419,128,959,215,069,386,588,049,115,799,795,
990,543,056,213,444,403,334,348,430,820,981,774,750,454,041,661,326,274,307,
911,708,793,964,143,777,896,305,472,107,254,716,912,779,004,315,166,838,251,
468,456,721,169,504,977,711,943,881,177,997,966,004,473,933,894,033,062,830,
415,256,251,562,867,357,573,828,640,328,817,763,553,182,689,279,601,479,761,
618,503,686,183,484,929,541,230,178,816,139,765,066,729,561,008,697,354,505,
954,382,805,620,427,250,994,862,871,686,254,107,384,057,796,636,386,174,088,
862,873,673,304,822,206,749,100,063,812,268,727,539,170,332,469,544,691,395,
659,027,364,750,361,847,124,963,198,966,674,279,891,025,779,637,649,177,398,
609,962,827,344,061,737,061,715,805,897,631,895,407,154,818,819,778,295,719,
867,950,666,053,707,085,599,446,259,520,143,217,618,093,445,863,846,563,274,
190,122,969,217,232,306,313,556,894,714,759,124,781,118,547,569,554,759,342,
702,550,895,711,190,546,043,538,300,622,163,854,631,905,154,188,316,968,953,
544,798,723,521,476,844,796,356,130,512,930,646,377,984,739,081,724,135,809,
865,658,657,592,282,760,116,895,132,843,194,072,606,559,732,257,190,804,602,
845,391,527,747,056,967,894,272,574,944,463,379,849,020,190,874,366,869,450,
538,813,661,989,852,699,760,400,383,842,511,873,808,496,058,695,442,000,930,
151,333,014,192,563,630,322,780,556,236,609,911,457,763,144,825,953,256,586,
705,497,037,274,246,267,785,448,837,543,131,734,629,556,434,945,938,042,256,
193,715,500,215,162,115,067,557,626,806,801,322,429,384,560,342,853,417,099,
163,868,871,062,344,074,255,661,525,596,310,298,581,030,163,449,887,066,068,
434,958,679,480,227,251,571,601,985,395,239,673,999,688,858,927,334,752,797,
919,134,809,250,301,954,059,369,571,258,010,391,971,067,018,047,445,619,652,
906,066,485,335,200,063,206,628,694,052,090,237,517,037,993,422,483,515,039,
949,625,144,833,090,067,459,566,636,274,362,216,224,891,420,310,363,320,121,
142,263,352,941,169,294,808,982,676,405,830,878,676,784,753,634,680,833,550,
992,450,022,324,232,372,847,001,088,376,326,339,853,653,689,335,873,371,674,
067,958,181,698,918,342,958,810,186,313,634,480,120,407,001,601,066,926,658,
420,912,448,325,691,554,857,783,484,632,554,194,233,628,742,233,429,372,850,
938,803,639,019,723,308,962,332,911,642,103,168,917,135,363,259,923,241,837,
880,323,121,932,199,126,698,560,142,546,415,963,207,723,139,423,734,714,835,
533,470,356,727,374,460,514,044,041,167,403,651,507,072,347,586,131,584,309,
358,753,605,180,493,333,999,535,763,593,873,905,567,309,437,970,862,187,440,
260,049,107,484,382,391,599,953,620,489,273,888,957,594,536,187,399,622,055,
911,006,728,618,614,769,249,715,521,322,036,794,415,658,191,933,413,413,943,
220,599,576,423,978,584,622,796,687,467,922,171,861,136,810,498,205,905,852,
904,782,013,691,395,257,617,820,854,979,898,539,575,459,921,171,211,764,714,
686,547,382,377,851,638,005,025,305,054,446,111,644,138,513,832,345,963,500,
232,579,689,660,012,984,320,604,731,780,011,105,376,609,195,463,229,445,089,
821,874,389,479,605,567,900,634,138,075,473,280,791,767,163,103,816,874,620,
238,498,303,602,529,985,651,454,654,878,240,765,163,275,258,328,909,952,302,
193,036,621,109,668,763,854,845,137,197,569,738,351,740,250,977,513,592,745,
714,738,392,127,088,250,292,023,077,225,097,465,353,108,060,629,378,031,346,
796,709,269,031,943,690,745,795,860,540,079,819,337,492,319,853,418,870,501,
875,798,975,958,835,848,603,851,954,070,688,219,685,693,984,794,114,549,668,
786,262,910,162,578,859,512,080,324,217,984,194,109,236,188,788,091,104,680,
990,456,229,585,488,703,566,924,299,837,454,603,462,206,861,633,123,566,194,
646,486,489,751,043,486,246,764,668,206,643,974,294,002,972,084,360,696,731,
857,584,514,928,779,053,305,159,072,977,210,980,419,295,919,549,017,212,069,
937,276,495,701,514,707,051,645,732,389,199,627,486,172,068,045,892,312,754,
729,622,829,984,447,961,790,747,736,092,804,612,963,175,635,248,582,245,319,
716,156,733,596,649,273,645,923,383,283,714,475,521,913,379,044,659,894,863,
205,302,463,694,544,175,040,782,352,531,190,920,590,537,871,510,546,082,088,
189,139,824,301,844,737,856,545,756,254,981,838,893,581,244,012,880,625,099,
483,878,868,852,707,841,729,815,562,636,417,623,465,055,770,785,070,168,322,
370,758,017,782,611,589,277,989,463,007,811,424,163,715,432,533,781,859,933,
545,835,824,459,920,957,618,726,645,644,908,762,124,575,260,386,527,146,817,
511,716,674,146,219,910,845,529,491,362,361,372,252,559,799,206,185,169,487,
507,368,768,706,863,703,974,494,355,411,045,755,688,500,407,064,931,028,833,
895,901,574,749,909,035,025,259,480,043,563,562,684,803,792,336,226,238,086,
694,746,730,244,355,710,797,364,945,005,036,934,301,799,697,223,578,267,538,
676,239,760,132,404,604,174,140,107,693,914,314,195,096,952,617,379,651,515,
169,629,287,872,442,185,781,945,635,279,539,816,549,328,789,170,442,021,704,
164,572,496,093,321,082,572,483,251,097,931,000,420,682,188,675,868,432,934,
398,623,217,430,899,155,469,052,523,614,692,148,829,095,137,557,103,971,430,
935,073,656,176,571,815,898,430,662,779,940,453,927,006,892,030,946,112,724,
784,879,272,115,603,992,580,261,876,752,962,871,549,235,933,343,610,722,548,
351,580,819,716,069,353,479,772,819,403,101,245,154,957,316,215,147,099,959,
301,580,303,733,209,865,996,684,379,561,530,019,371,172,520,440,655,482,530,
471,749,813,032,198,087,171,996,868,098,619,330,792,596,996,130,910,302,542,
404,310,524,213,850,930,589,970,841,603,588,767,168,934,071,074,396,085,889,
823,439,419,996,831,454,663,095,998,600,319,194,858,383,594,783,850,810,093,
589,705,430,629,725,630,416,068,095,867,271,694,729,681,584,598,177,058,121,
582,706,267,250,078,312,564,575,695,198,494,286,284,325,888,936,962,280,621,
685,408,622,274,572,305,782,111,818,135,575,309,133,188,652,655,065,093,119,
001,709,660,209,837,251,311,053,357,961,873,420,515,455,019,226,204,933,192,
099,341,323,859,772,507,636,482,393,268,334,282,912,942,685,125,632,820,810,
448,561,858,935,599,341,307,144,255,111,742,207,731,030,494,382,430,478,438,
581,518,719,370,366,464,154,888,201,003,232,387,437,786,538,200,208,479,711,
920,594,983,249,494,195,955,826,073,145,453,540,559,149,499,672,538,678,721,
188,755,136,427,287,339,736,724,736,376,720,702,440,349,543,123,997,469,714,
340,158,266,034,879,817,807,167,351,189,709,363,186,336,289,147,425,235,631,
544,651,884,748,171,113,100,511,698,538,350,456,439,159,897,477,594,647,908,
257,118,064,042,021,604,382,289,115,351,694,819,460,624,812,221,229,055,683,
615,103,222,471,276,972,288,516,807,663,680,475,329,041,961,727,952,375,143,
038,435,528,715,755,204,160,181,209,683,274,122,030,892,534,791,682,301,170,
824,205,336,533,502,333,248,344,705,257,319,795,332,755,248,670,896,299,385,
708,537,926,957,762,684,169,067,215,070,817,366,441,729,242,196,151,297,019,
848,517,353,237,398,447,285,624,678,205,686,967,683,194,656,501,067,480,586,
157,409,941,759,826,894,809,047,030,497,076,658,035,176,597,259,741,663,273,
144,303,503,701,310,642,108,972,206,272,364,053,015,557,183,259,197,564,792,
797,502,893,585,889,691,034,461,119,666,069,223,747,352,354,689,045,620,205,
016,775,116,547,575,709,687,156,591,123,157,822,838,284,852,694,856,448,338,
215,821,939,633,363,496,908,236,931,662,832,351,567,151,507,043,394,283,242,
521,391,861,580,257,226,311,181,850,360,642,002,940,893,972,045,236,558,065,
884,942,866,681,259,467,046,098,278,931,815,921,815,784,590,758,981,725,528,
111,781,905,420,246,023,885,162,717,973,842,858,205,936,860,745,480,677,977,
858,131,948,524,244,990,081,766,527,651,933,103,214,899,581,082,810,973,891,
187,249,540,911,937,340,937,177,364,044,397,385,808,127,162,868,973,531,247,
998,165,488,140,592,838,419,390,585,311,019,200,413,658,504,947,400,692,120,
046,115,743,521,377,411,325,844,814,587,069,994,163,181,716,576,586,169,598,
708,638,347,437,948,482,229,432,617,651,837,209,071,106,714,141,567,595,040,
283,120,464,874,437,218,187,434,645,739,897,501,036,287,428,086,567,516,703,
157,493,692,103,194,132,311,885,144,624,241,130,454,151,539,419,051,470,420,
355,893,795,289,436,320,604,340,652,316,667,315,860,551,943,303,374,615,997,
216,333,523,341,842,710,923,097,156,818,479,342,217,087,438,100,283,030,029,
462,451,129,633,483,421,209,118,030,950,067,877,013,869,092,186,503,003,918,
508,593,015,135,755,305,242,981,720,197,707,029,691,719,035,851,095,135,318,
533,755,407,138,308,831,807,998,604,098,879,780,944,225,566,645,079,020,369,
014,589,661,537,914,654,134,781,585,226,949,060,469,703,433,079,069,485,210,
969,846,205,575,000,088,173,973,811,320,739,936,398,977,477,299,656,001,813,
233,371,923,185,465,529,918,398,629,500,532,017,558,243,903,012,117,022,495,
826,814,681,842,378,427,957,822,967,870,959,898,275,948,002,839,458,272,205,
476,630,157,001,040,701,936,954,255,835,712,684,301,460,716,781,893,379,403,
110,343,262,270,023,486,184,946,943,624,335,373,384,406,109,522,477,151,326,
234,059,679,062,750,126,099,491,527,504,005,514,366,631,991,851,220,490,524,
292,563,177,376,994,986,950,910,841,299,920,615,236,192,941,075,843,060,444,
825,898,449,204,049,876,666,620,720,310,582,539,182,000,998,149,431,620,769,
220,593,871,134,739,596,742,357,415,149,354,721,803,306,021,239,869,687,465,
593,485,020,114,763,065,793,850,300,131,206,358,137,884,810,426,471,051,871,
481,728,523,296,824,409,396,872,947,759,101,792,889,994,176,449,718,989,190,
017,347,194,701,018,862,880,049,926,702,350,903,251,225,497,365,677,621,530,
096,369,950,106,263,059,708,451,203,752,990,027,988,672,184,123,679,975,703,
767,677,553,698,573,458,653,163,433,951,574,254,419,388,357,901,506,149,512,
864,810,505,970,438,915,136,580,428,897,109,348,723,756,801,632,333,958,900,
403,977,775,574,942,595,186,068,080,790,230,448,032,011,575,890,805,787,440,
147,827,883,354,532,136,286,390,031,203,906,067,021,618,705,226,440,443,467,
672,947,757,049,708,174,453,941,253,050,109,958,945,575,074,306,122,586,111,
644,889,791,452,868,083,472,654,513,455,158,581,707,900,987,482,329,770,754,
793,417,499,429,690,601,577,149,015,843,112,128,939,673,637,794,658,451,250,
063,312,588,497,897,384,929,565,473,222,023,027,014,364,473,604,802,212,490,
093,655,059,579,938,138,972,972,220,914,145,774,254,921,030,579,411,199,843,
223,336,413,751,793,512,768,289,801,517,155,327,985,153,699,969,794,898,409,
236,990,377,457,223,032,752,265,170,583,733,277,324,518,163,677,388,427,078,
804,904,186,663,233,544,700,385,242,768,762,189,636,201,753,982,671,636,407,
404,226,225,629,569,324,713,287,994,963,150,188,118,343,668,907,912,616,385,
341,305,236,375,084,629,539,953,558,846,745,537,260,866,362,642,904,973,064,
222,733,625,957,104,496,001,784,251,177,152,776,186,089,597,113,406,158,413,
549,837,456,816,429,413,188,434,494,356,822,171,938,143,280,790,292,146,834,
367,704,063,225,275,180,225,782,507,522,090,885,818,492,101,706,903,510,632,
400,955,911,278,477,716,466,020,469,024,404,372,654,148,422,098,239,819,581,
585,710,387,591,275,384,429,339,850,502,952,884,568,667,491,251,166,800,869,
878,817,913,898,868,076,926,839,930,307,481,796,130,181,283,352,026,923,027,
488,778,113,392,431,995,161,878,855,445,814,295,285,202,952,644,910,438,418,
358,763,361,547,532,607,479,289,106,206,886,546,342,114,370,445,529,219,983,
890,073,849,464,669,104,322,400,358,609,811,883,755,077,553,397,880,924,451,
167,429,169,974,209,690,757,984,845,005,982,931,967,345,370,141,775,668,297,
237,443,195,044,300,906,434,930,520,091,169,650,413,782,309,162,117,567,557,
231,708,801,397,130,669,274,687,724,144,268,056,023,783,684,678,421,320,713,
680,221,258,633,150,423,202,836,896,847,478,035,081,182,411,078,084,566,007,
848,321,999,840,452,930,335,084,181,066,276,029,281,870,336,224,945,052,677,
070,346,079,032,778,927,586,852,959,360,413,161,647,474,719,977,583,819,714,
574,029,864,991,963,580,188,669,672,812,987,546,800,084,082,315,821,206,591,
525,654,651,750,468,203,858,693,238,250,601,925,389,928,826,930,808,437,686,
741,588,203,982,583,638,112,791,190,272,755,612,838,570,118,410,904,138,562,
060,555,241,457,127,050,778,057,356,271,559,948,092,793,739,199,309,660,433,
879,372,549,239,348,522,377,442,024,876,278,978,396,077,628,824,880,855,392,
398,802,163,593,063,318,895,377,782,314,175,546,486,620,639,400,313,874,127,
597,793,615,181,957,188,877,108,738,365,858,140,018,411,420,474,434,768,756,
861,580,463,355,739,877,740,332,293,053,492,212,966,539,984,271,669,499,118,
123,531,277,326,590,827,432,402,338,636,229,516,922,819,489,286,594,739,141,
234,726,973,966,056,308,093,269,202,162,379,068,016,683,210,531,914,539,694,
419,500,910,966,073,131,154,441,264,611,271,940,748,096,583,430,231,466,502,
097,774,627,944,502,125,411,114,273,824,454,390,105,003,608,916,557,130,444,
599,106,138,901,395,396,942,246,161,243,380,858,899,921,418,517,855,463,102,
138,753,133,183,070,308,391,924,895,901,534,992,237,070,971,259,195,916,276,
163,137,900,339,672,932,710,027,397,645,565,710,402,502,434,295,696,217,323,
401,041,807,281,130,598,762,811,856,329,750,777,949,298,999,903,796,507,416,
507,069,198,018,785,432,271,974,497,328,444,484,416,182,775,752,106,173,650,
631,722,511,088,373,118,856,709,979,565,635,981,673,588,465,461,555,067,146,
438,887,117,457,360,181,633,139,779,098,457,816,453,728,069,873,407,185,849,
838,325,412,850,973,382,408,983,937,223,959,252,934,813,061,079,394,466,919,
153,888,227,713,062,031,627,611,632,444,221,488,098,540,094,986,654,053,811,
378,495,830,461,903,586,507,360,137,715,414,906,879,509,490,094,280,653,444,
740,034,458,559,971,910,223,020,933,642,331,445,388,977,921,913,323,386,493,
357,266,669,366,536,163,057,022,939,621,109,737,260,406,598,968,625,965,314,
205,133,227,164,086,901,589,224,601,269,333,329,150,607,143,616,870,687,863,
893,120,553,452,798,134,859,988,377,612,277,678,859,442,255,599,849,733,415,
487,039,525,339,321,686,413,635,114,140,581,293,807,710,080,229,524,806,492,
928,633,509,334,643,139,358,970,998,638,961,061,700,393,017,528,956,112,304,
129,479,914,645,385,960,849,190,260,960,701,481,632,761,074,785,033,639,322,
506,675,396,508,047,009,731,457,274,819,622,815,089,266,123,399,465,715,645,
599,111,570,522,070,243,820,738,965,081,302,206,977,504,328,033,368,425,127,
672,730,295,208,661,064,047,362,383,788,384,074,398,239,519,941,391,800,084,
332,647,743,929,869,808,661,541,353,222,190,382,017,294,827,397,734,864,608,
381,663,184,400,833,181,504,200,586,331,817,043,785,926,233,302,645,877,019,
875,735,560,036,427,296,471,819,229,581,177,890,113,892,673,677,626,157,357,
062,180,415,824,386,164,927,863,833,321,232,830,508,060,303,877,082,841,816,
969,487,797,668,305,944,414,446,935,299,306,302,999,418,991,353,026,492,576,
411,161,938,158,522,366,677,834,044,782,743,335,782,611,363,677,729,990,795,
498,556,681,543,114,969,573,954,434,539,911,686,059,831,484,812,499,306,059,
181,595,962,506,044,720,650,511,141,123,883,544,708,308,855,978,974,863,234,
113,510,388,214,503,928,569,258,027,873,604,016,459,231,288,056,284,137,780,
901,901,809,217,895,947,514,082,219,462,289,106,480,480,107,948,310,082,279,
414,263,258,271,670,262,768,906,662,542,907,089,477,992,284,358,181,056,568,
140,582,650,955,793,411,083,686,568,496,774,096,853,899,358,931,923,758,510,
197,809,514,422,603,602,392,580,344,359,326,614,508,391,100,261,419,767,803,
770,367,237,743,803,678,218,157,165,889,738,270,151,503,961,520,394,935,814,
334,961,974,203,211,636,243,100,467,191,397,276,909,820,082,021,399,790,258,
926,399,770,282,878,000,890,094,589,112,898,311,113,167,782,880,270,027,389,
406,876,702,045,856,446,654,614,888,554,903,475,461,471,478,085,374,355,606,
447,536,257,560,553,163,780,695,531,534,365,714,034,118,326,386,661,742,499,
286,510,204,708,099,141,928,361,345,517,756,315,385,263,882,883,925,603,620,
289,133,474,079,236,166,339,440,413,207,165,341,939,508,149,768,333,583,072,
849,984,098,053,035,052,679,376,889,861,152,512,113,239,305,960,909,227,841,
738,190,780,614,872,289,975,567,929,679,257,784,385,594,034,715,676,945,681,
234,750,489,264,744,858,744,776,335,220,089,729,067,849,620,913,361,392,948,
317,824,659,517,446,573,037,370,818,212,847,841,493,662,764,657,389,605,102,
411,922,407,041,717,872,672,114,087,505,357,454,204,109,691,318,178,235,602,
515,304,677,409,596,351,685,095,386,138,957,548,211,462,689,967,328,198,486,
676,516,919,361,083,980,458,084,999,772,891,829,854,242,218,516,389,171,183,
363,558,810,785,773,968,795,965,088,266,747,897,989,716,763,953,929,931,815,
044,915,224,931,499,383,216,512,184,650,726,041,737,441,858,824,325,361,103,
282,346,307,279,090,355,281,781,337,004,309,428,835,189,035,326,452,258,998,
005,488,171,386,636,973,896,741,450,373,264,409,202,110,555,570,442,583,552,
754,583,516,948,544,905,281,835,272,677,256,749,100,717,716,774,858,755,415,
220,058,301,698,101,586,080,070,623,893,780,933,188,387,785,663,771,154,336,
646,933,323,707,310,573,015,128,964,127,473,699,377,451,854,799,994,607,899,
940,897,306,435,253,736,570,457,102,054,999,639,027,735,672,639,803,822,390,
799,426,015,468,300,077,865,956,305,249,555,946,085,505,266,572,390,554,425,
291,594,288,373,037,561,633,024,214,577,770,371,246,549,188,651,613,053,010,
139,761,125,554,138,279,869,731,572,238,487,137,749,770,759,292,688,446,282,
680,489,168,489,736,517,396,908,108,597,234,437,025,383,036,824,192,171,146,
447,786,590,683,962,067,922,987,001,631,477,992,846,177,417,302,098,562,266,
883,799,671,403,903,159,532,477,059,896,674,117,245,838,325,067,388,514,893,
048,655,532,950,462,606,749,152,096,190,611,723,940,174,097,601,107,860,429,
564,565,081,429,208,638,321,314,483,441,644,841,054,080,776,875,316,253,639,
530,622,990,797,226,184,351,724,870,032,190,915,545,555,672,063,150,819,958,
178,795,763,710,846,105,946,252,109,799,753,507,735,676,348,029,069,641,936,
973,234,540,803,423,816,400,482,498,906,544,736,041,765,973,623,381,952,255,
768,961,125,231,886,108,406,520,775,859,281,476,129,121,061,109,643,664,101,
128,723,429,648,200,957,210,774,680,706,926,262,039,734,006,301,776,267,993,
314,375,992,785,101,549,335,363,835,591,966,471,585,795,983,051,021,691,867,
566,477,861,094,131,784,160,393,495,940,279,567,972,082,114,561,783,063,708,
381,999,937,254,876,252,250,643,722,723,268,837,489,535,174,646,699,091,031,
833,523,911,663,339,156,106,616,966,799,793,764,593,791,985,576,871,159,484,
039,348,030,434,604,819,935,680,157,774,097,114,847,483,021,174,355,071,680,
537,130,630,626,641,006,590,934,570,699,865,019,870,911,376,561,287,593,850,
522,929,553,522,575,225,077,124,512,533,281,733,793,890,241,839,846,622,726,
349,087,115,553,523,771,498,117,226,246,329,523,629,883,038,349,394,125,508,
063,358,211,973,515,017,590,734,158,100,020,221,458,747,235,173,038,763,229,
691,562,518,449,189,102,479,652,000,832,127,587,748,451,753,696,911,076,492,
871,859,938,312,561,156,786,999,038,722,625,245,634,041,698,909,242,948,367,
188,311,488,259,828,363,292,065,754,405,341,702,882,599,277,500,707,379,406,
950,710,975,493,343,972,833,748,654,334,194,912,556,976,636,064,247,296,631,
620,485,737,860,596,980,846,530,247,405,090,119,021,843,627,984,632,297,238,
408,244,451,775,574,348,574,517,148,416,041,992,807,449,202,105,504,718,375,
419,480,006,228,229,193,870,031,355,590,004,149,212,959,220,064,955,361,427,
039,308,161,855,801,510,522,307,238,748,336,573,443,411,952,586,966,580,258,
553,843,973,034,349,943,872,187,768,237,906,358,019,570,478,857,855,012,133,
555,419,561,758,679,047,456,316,207,778,420,224,823,645,779,771,783,128,057,
317,622,468,122,553,972,037,177,669,448,492,919,531,232,245,913,994,233,539,
547,125,845,524,023,430,298,984,369,790,599,942,789,183,747,796,928,700,101,
083,514,107,375,895,422,408,850,440,008,398,683,839,315,145,329,093,672,796,
637,935,267,675,904,146,096,303,433,408,163,813,528,305,814,536,531,417,031,
033,625,014,750,580,481,651,590,009,701,854,181,105,709,649,856,827,435,042,
751,218,691,853,341,070,603,571,289,160,501,534,021,272,607,960,084,059,986,
890,592,613,522,088,871,066,817,874,265,492,858,808,979,964,781,491,102,853,
113,170,033,560,280,194,526,339,621,245,396,396,751,780,906,016,412,998,295,
162,030,016,098,892,085,673,034,705,945,711,220,462,005,456,393,257,073,275,
858,398,308,746,313,716,639,925,020,248,209,695,167,613,648,269,592,658,097,
126,379,448,841,132,322,405,793,241,727,989,932,209,725,559,492,874,024,235,
605,824,006,541,360,721,769,740,307,676,045,144,125,261,553,849,409,211,580,
707,805,087,581,733,996,860,764,709,853,107,009,513,793,001,671,755,278,224,
969,046,082,285,615,216,210,291,872,460,665,562,852,577,879,049,648,926,870,
417,355,436,451,005,752,371,139,893,435,952,164,798,766,408,663,761,236,496,
032,335,224,360,096,125,563,942,839,468,164,071,958,374,796,219,969,917,831,
174,735,875,389,868,962,084,518,024,194,918,077,238,205,839,077,172,426,600,
624,263,744,405,274,809,575,348,833,181,924,388,171,572,255,885,890,475,888,
664,894,551,890,198,455,093,472,515,333,752,587,338,073,728,942,414,672,442,
462,464,157,693,081,635,565,465,110,621,613,658,961,884,204,924,592,815,353,
166,184,259,204,280,030,122,706,987,041,891,692,741,250,813,674,740,788,184,
976,727,521,389,499,226,514,101,958,283,843,792,498,246,812,677,172,597,324,
610,619,908,228,581,943,122,390,870,173,365,978,841,458,232,355,157,732,171,
682,663,741,858,640,893,626,144,845,136,076,065,678,616,152,051,012,082,745,
740,944,189,367,081,290,509,676,143,032,835,926,170,714,410,562,550,444,244,
920,770,814,295,471,279,923,850,899,292,656,017,011,572,298,302,487,672,273,
406,013,825,615,391,336,385,159,412,502,387,300,664,492,012,574,047,244,447,
554,060,103,028,782,363,211,394,802,539,250,659,222,026,033,790,451,061,448,
275,231,960,887,253,238,279,544,817,798,017,621,316,207,640,311,477,351,819,
066,249,425,132,941,544,939,490,317,240,722,963,746,867,474,130,663,200,801,
079,844,479,055,489,240,443,252,503,405,648,770,544,559,635,950,118,589,847,
370,296,805,912,027,097,735,238,469,362,288,911,958,277,923,180,422,355,285,
122,582,059,981,373,565,753,750,314,608,933,208,071,767,736,339,078,646,231,
510,903,172,488,987,308,099,861,461,619,649,590,919,095,134,870,415,036,033,
557,949,612,091,783,088,052,352,665,519,860,194,290,728,435,433,369,183,580,
203,092,575,007,833,886,789,240,087,945,702,575,540,144,982,011,047,961,177,
409,125,465,291,309,857,044,078,584,271,570,243,047,664,625,323,322,061,745,
307,246,919,146,273,012,307,225,118,881,568,767,686,269,676,895,727,522,437,
960,887,987,840,230,809,984,268,395,585,660,392,519,224,543,260,999,855,643,
464,401,444,268,111,188,187,366,221,093,181,800,643,814,176,608,637,098,568,
895,755,084,644,830,207,242,362,180,090,309,714,991,778,724,150,590,319,471,
268,975,369,844,804,147,370,768,646,271,923,844,309,673,677,204,010,086,991,
255,033,418,748,785,198,760,957,150,592,907,113,558,367,683,051,338,045,243,
868,186,580,382,120,691,988,645,085,294,373,966,377,444,477,025,324,236,281,
605,464,905,604,245,575,304,344,554,495,501,259,919,896,300,312,793,274,413,
596,280,007,067,614,994,511,948,654,606,162,795,988,405,759,785,074,356,577,
700,495,795,207,339,507,593,689,413,331,779,438,918,745,076,373,526,055,768,
773,991,476,253,928,728,591,363,946,995,966,690,063,090,208,312,777,624,317,
008,906,427,250,651,154,082,566,879,420,872,166,313,062,972,310,872,340,637,
084,436,546,098,378,918,255,032,206,192,830,838,357,365,509,840,688,916,148,
594,225,043,130,424,318,562,139,893,907,343,974,153,150,154,088,262,326,831,
206,441,371,302,556,624,917,274,454,835,321,700,184,809,712,903,276,335,798,
155,348,860,678,288,907,099,900,113,828,026,269,285,427,865,732,447,494,925,
297,625,575,949,148,163,860,039,886,863,511,925,720,991,219,190,450,393,164,
685,920,738,592,020,260,151,132,879,960,011,324,124,425,602,515,611,544,807,
132,625,293,760,728,623,825,422,198,906,387,024,025,336,685,534,731,731,242,
726,768,949,321,699,759,705,030,536,511,021,395,242,670,940,322,108,272,962,
957,728,347,049,595,824,238,611,771,888,554,769,430,996,742,797,395,764,524,
614,188,643,038,704,940,041,891,131,915,253,194,157,117,630,688,700,980,890,
079,353,480,156,285,695,135,857,624,053,440,997,436,679,385,861,084,552,387,
070,290,132,686,453,419,983,753,783,829,043,734,791,675,747,086,500,314,790,
771,047,028,068,112,543,440,206,462,208,202,294,860,342,664,909,763,138,630,
331,018,449,510,065,648,939,607,804,677,153,351,104,599,245,102,673,887,069,
635,288,263,252,971,166,371,916,139,320,719,472,906,211,658,022,289,873,754,
912,808,597,766,833,659,469,057,502,314,699,803,676,859,416,561,668,039,162,
639,943,112,046,330,690,030,208,070,307,962,368,876,100,025,870,094,162,207,
076,624,767,676,264,280,405,167,914,369,997,779,605,785,294,105,140,366,320,
982,141,966,228,418,178,111,786,185,340,101,225,964,862,614,145,367,887,553,
860,358,218,103,530,143,922,010,014,601,383,371,013,517,642,301,593,603,553,
194,067,816,508,232,306,536,820,197,448,225,887,433,829,726,146,737,187,863,
388,642,266,121,788,120,242,686,249,726,086,213,000,580,375,331,292,245,908,
797,118,345,621,746,782,184,773,979,498,149,199,188,325,370,115,676,874,777,
360,042,712,228,310,058,534,250,117,999,629,769,953,948,063,497,336,266,592,
403,496,732,422,744,957,425,263,809,206,169,575,940,773,531,284,650,280,540,
255,775,215,553,816,806,910,535,545,573,897,223,383,193,328,972,060,179,876,
358,057,128,411,675,228,463,196,443,280,160,386,192,472,810,041,550,648,121,
908,257,531,369,257,132,263,258,471,779,749,416,110,999,836,483,894,752,766,
977,476,160,155,040,960,309,708,666,172,084,834,416,258,954,869,861,911,898,
623,341,506,748,905,806,401,744,397,789,756,294,322,830,006,514,978,393,774,
178,669,661,029,931,353,046,740,253,192,169,793,065,158,027,770,841,776,910,
494,950,788,192,910,668,324,424,594,662,869,105,212,157,517,781,297,692,514,
221,605,340,885,945,983,651,817,517,734,370,358,913,545,438,479,611,157,201,
479,847,442,080,871,522,444,151,967,692,440,280,667,956,813,082,038,135,464,
374,764,442,796,883,405,576,140,482,125,824,494,425,618,026,113,996,971,364,
302,728,219,124,996,706,264,456,594,940,149,108,653,958,203,435,028,357,315,
039,906,064,096,040,152,083,220,516,981,228,091,497,861,224,634,037,039,822,
252,215,608,946,681,790,603,509,683,235,260,340,924,780,141,404,450,690,897,
181,555,025,483,785,420,373,049,418,531,722,129,374,565,758,949,918,484,508,
892,054,210,357,141,931,868,656,412,276,328,346,903,167,064,192,291,544,827,
410,504,423,341,165,406,051,779,191,716,486,004,637,675,287,963,436,303,997,
164,526,427,427,496,921,651,438,092,904,099,023,071,561,841,734,410,026,420,
488,040,701,307,176,352,260,825,960,570,876,924,192,507,210,911,654,531,112,
640,691,009,662,008,187,295,437,892,996,772,137,422,105,292,842,317,556,226,
380,015,652,591,959,846,528,978,774,658,486,928,661,036,431,787,849,034,944,
983,952,350,077,209,896,457,744,959,316,311,629,673,136,980,223,578,470,628,
850,194,066,519,461,255,330,140,482,823,809,082,886,691,403,178,543,131,577,
882,060,087,620,699,199,844,125,210,946,750,568,269,383,515,404,990,692,855,
954,591,216,363,259,466,042,931,929,189,615,609,312,840,564,678,605,234,551,
721,452,155,623,022,349,516,571,867,250,558,195,550,572,447,729,453,655,352,
990,450,999,627,173,761,699,099,522,744,714,141,570,595,875,883,069,266,138,
694,382,460,641,685,897,310,880,705,044,773,779,894,714,752,527,600,442,175,
388,816,336,590,068,296,731,319,602,130,208,290,598,407,979,456,100,102,437,
635,758,504,680,256,643,328,781,597,555,424,338,230,527,393,541,193,995,504,
111,219,968,893,336,506,869,448,241,540,716,170,088,646,846,929,291,236,468,
848,181,722,160,421,409,028,114,939,818,375,355,947,678,889,278,080,525,867,
011,517,552,806,204,899,487,689,074,184,802,565,798,825,521,167,967,641,409,
109,797,752,774,398,466,291,586,381,664,284,758,121,415,279,250,322,633,166,
274,171,509,365,251,584,623,808,866,909,755,282,267,858,115,406,634,928,815,
135,707,456,772,164,677,557,093,009,183,651,899,228,282,030,730,507,703,606,
108,598,271,322,308,180,930,868,842,537,676,008,939,637,318,131,455,404,179,
758,636,150,098,789,382,739,078,391,083,011,730,124,354,228,335,232,026,029,
140,028,389,608,248,494,182,163,212,228,533,462,316,481,496,263,633,357,118,
250,968,120,027,007,949,646,746,404,439,481,798,506,899,988,741,262,923,689,
172,613,267,109,968,870,422,076,085,920,821,751,450,012,578,983,523,987,891,
977,254,066,451,162,136,338,689,914,455,958,590,111,722,615,370,243,344,335,
259,238,008,110,159,698,194,326,363,168,126,379,302,529,558,003,687,510,093,
683,968,476,925,255,762,068,511,893,114,183,006,871,091,927,521,406,998,159,
483,027,390,815,161,745,121,066,219,732,334,774,872,920,374,294,946,319,400,
946,192,944,120,945,844,129,725,119,062,442,065,465,738,990,011,452,074,709,
957,181,285,129,139,622,292,556,928,994,903,790,178,494,956,923,073,420,320,
130,938,516,880,943,813,068,237,496,491,097,888,035,281,949,375,406,862,078,
656,788,151,563,584,245,467,546,109,873,609,911,920,975,734,942,909,846,561,
277,672,163,003,458,859,256,454,046,241,988,035,340,444,134,511,880,112,802,
345,727,352,136,987,239,012,411,576,754,675,879,028,193,057,039,635,164,863,
346,021,716,198,053,138,528,600,772,290,509,783,107,198,325,025,873,045,017,
569,376,195,524,352,611,068,221,590,096,051,173,592,661,664,163,902,923,472,
503,060,780,634,885,929,232,030,842,146,788,164,062,047,981,795,339,209,227,
293,611,411,472,901,822,648,184,789,120,499,571,023,948,115,100,770,684,052,
069,647,828,397,615,084,325,110,680,062,894,233,094,669,480,979,463,528,973,
517,852,086,877,068,645,876,858,888,438,412,020,883,113,774,380,828,729,894,
643,172,795,163,983,821,209,189,138,223,274,273,264,595,817,913,550,323,845,
134,554,450,406,867,392,560,663,479,025,328,320,117,588,543,437,752,334,265,
771,939,477,441,299,988,137,714,085,729,092,416,407,411,032,911,890,788,383,
498,030,834,125,424,655,838,956,843,485,332,081,920,160,103,973,168,640,561,
406,370,267,656,371,880,966,361,760,464,587,829,191,797,538,059,711,389,693,
172,502,437,466,876,296,341,623,365,308,033,083,573,937,092,975,611,163,989,
230,576,426,539,097,290,934,544,284,145,832,480,066,328,834,421,726,528,972,
617,489,997,242,920,782,586,645,764,267,465,669,625,634,290,612,278,899,088,
450,321,677,991,858,572,524,744,463,167,878,598,507,217,558,792,468,331,809,
437,502,180,098,461,490,776,165,904,353,879,927,006,492,207,789,584,857,150,
358,287,388,643,073,517,935,525,760,312,522,817,487,712,417,210,326,250,094,
463,708,667,644,872,782,414,571,349,250,944,123,126,303,367,600,235,036,027,
458,236,821,428,984,348,835,811,745,738,609,617,462,136,329,373,149,420,400,
402,535,388,475,595,775,888,430,907,377,979,757,372,757,851,103,982,789,023,
453,683,763,794,350,884,240,950,410,352,178,977,660,915,479,969,514,057,209,
309,930,116,738,280,276,853,590,713,751,337,177,102,757,685,158,183,202,373,
585,548,276,101,201,227,049,425,988,419,764,203,404,985,441,789,660,546,925,
939,058,499,374,637,960,866,650,063,058,249,091,892,880,878,241,179,695,315,
851,934,642,980,957,796,251,794,231,531,970,926,026,546,800,328,745,506,697,
796,913,378,124,385,785,134,132,438,297,167,609,177,409,067,670,597,359,272,
409,515,831,213,035,546,750,733,134,772,290,550,495,023,236,132,385,737,384,
044,229,949,133,161,092,704,940,420,505,812,031,965,993,473,085,628,971,409,
191,711,844,487,017,105,699,417,956,133,519,359,523,909,080,281,806,540,961,
248,188,475,877,957,777,496,115,285,244,529,665,998,446,306,492,185,719,537,
492,750,197,081,218,149,853,156,634,277,098,349,671,612,762,751,898,529,353,
278,302,127,128,375,046,795,842,514,978,745,889,344,433,642,398,593,651,788,
340,860,810,987,713,397,018,090,600,484,268,768,853,678,776,900,124,350,225,
045,530,521,774,994,153,467,419,434,848,291,696,318,443,114,463,621,861,568,
394,008,107,248,156,769,919,958,278,118,418,097,303,582,855,698,230,927,160,
401,867,148,996,664,028,810,470,206,355,108,826,795,875,413,620,610,442,788,
684,978,995,795,338,353,618,882,048,492,861,055,386,226,224,821,377,549,461,
853,295,975,314,255,718,189,462,832,526,001,996,463,906,375,390,232,748,303,
357,391,564,007,772,253,170,303,521,791,683,740,005,259,478,541,365,388,522,
866,119,910,860,558,018,186,202,048,533,989,202,352,005,572,366,279,225,160,
623,607,978,618,114,490,942,906,137,147,210,663,509,411,867,733,450,548,641,
285,111,917,449,220,644,828,972,182,352,062,936,168,195,524,733,119,009,257,
379,083,171,283,620,692,642,935,815,449,511,167,983,164,550,715,408,836,682,
283,355,592,925,600,977,970,580,909,468,635,837,360,007,546,112,885,014,743,
507,021,203,026,893,483,836,518,774,195,014,287,919,348,365,992,607,119,891,
482,134,506,100,229,439,862,449,944,445,225,365,773,125,970,672,562,990,888,
016,731,393,547,953,705,223,823,981,527,220,078,840,585,613,033,856,199,129,
630,274,393,916,702,945,704,537,874,617,727,312,649,537,748,931,879,405,596,
566,892,580,999,030,182,166,669,457,215,777,263,671,402,292,319,569,340,810,
819,058,596,786,347,934,599,010,739,756,928,338,734,946,138,958,337,268,690,
374,260,859,732,384,712,531,582,616,601,930,651,484,700,186,046,136,811,829,
317,993,504,507,543,291,880,352,747,120,565,838,294,631,243,536,659,204,679,
575,174,964,005,206,247,714,839,275,564,468,738,718,533,204,093,659,723,816,
311,805,257,453,118,578,744,817,354,317,046,496,880,649,312,410,650,577,594,
524,638,924,091,127,446,113,814,521,215,966,386,223,545,083,919,680,759,472,
332,970,025,019,404,859,601,811,856,326,039,434,272,848,408,836,016,808,071,
237,955,702,259,664,344,186,904,383,954,984,522,268,521,660,482,585,534,159,
732,737,863,384,162,338,963,705,618,875,323,113,486,772,839,839,113,597,781,
342,756,609,180,687,389,247,397,525,677,746,495,360,865,145,254,401,103,001,
106,736,730,297,019,766,331,548,086,110,598,717,259,267,758,036,477,941,775,
393,628,189,966,930,488,480,292,303,460,630,998,167,070,270,003,536,965,381,
533,553,049,247,239,659,635,848,910,900,132,882,562,307,844,868,245,821,184,
346,781,673,617,344,733,933,992,459,790,184,406,819,461,576,967,955,481,303,
381,418,689,005,732,485,442,693,434,692,564,738,458,104,571,322,094,469,610,
430,997,861,727,160,010,708,145,643,541,275,352,452,867,767,071,429,317,162,
263,371,302,397,230,215,814,840,893,170,519,434,065,739,737,338,033,348,008,
326,281,856,461,074,502,782,757,100,399,896,121,362,283,510,169,603,253,285,
358,986,966,487,082,214,227,300,583,218,012,133,426,812,668,014,170,979,011,
579,770,053,840,438,241,916,054,106,856,540,406,624,046,347,206,605,989,402,
492,137,685,058,255,797,691,135,098,821,878,715,315,076,527,079,153,264,816,
238,069,910,902,687,346,077,682,828,353,447,391,986,108,577,476,806,906,569,
687,544,874,925,618,191,488,119,331,824,374,489,123,840,723,190,640,810,775,
408,090,967,340,083,525,793,133,348,634,975,926,889,285,459,578,875,661,519,
136,711,008,565,500,468,774,578,822,680,678,973,918,782,037,962,559,760,444,
255,894,576,213,703,839,987,177,975,593,894,972,735,544,224,108,510,965,604,
958,716,872,950,555,808,716,579,358,704,667,876,969,413,148,597,260,515,632,
322,089,823,053,941,523,399,443,982,678,028,061,185,697,354,580,886,487,526,
153,135,188,581,016,627,221,133,667,609,286,840,339,495,350,379,420,125,953,
488,994,651,087,227,789,351,087,667,546,292,949,559,083,991,520,864,491,810,
191,945,256,880,930,975,500,577,741,213,430,687,732,452,794,928,820,340,183,
737,515,581,185,376,050,923,887,119,769,667,657,027,575,547,233,983,992,881,
434,339,070,665,698,346,628,698,876,971,609,418,674,517,559,016,502,249,864,
108,299,276,105,848,517,598,306,429,628,083,409,863,425,172,650,404,260,999,
570,953,586,665,686,841,094,117,363,983,436,513,361,337,725,906,734,099,031,
454,754,132,423,082,693,541,086,945,260,848,584,442,500,848,426,083,128,428,
832,880,462,081,173,939,497,361,044,189,831,025,873,406,567,494,398,079,894,
644,202,977,392,092,452,955,112,180,687,869,773,366,512,559,127,947,444,490,
892,930,360,021,168,624,428,288,040,755,710,919,730,003,078,060,439,527,482,
544,756,983,617,331,276,255,600,261,861,612,767,239,428,952,502,610,905,087,
156,393,259,481,654,185,768,245,898,095,075,063,292,570,342,700,940,223,868,
307,646,790,298,444,914,584,550,131,553,078,755,946,455,027,647,099,908,423,
356,164,308,072,395,321,808,378,205,300,978,315,402,419,987,143,721,717,859,
050,145,082,821,027,167,439,969,931,518,617,842,326,836,008,919,379,267,227,
108,173,070,177,684,537,522,930,461,360,250,729,628,199,525,729,829,374,431,
406,488,544,733,468,630,855,476,139,875,337,852,120,609,867,947,750,242,030,
165,252,880,053,927,866,909,397,556,871,434,434,633,375,956,642,091,135,293,
353,132,740,096,649,942,454,985,597,454,582,758,960,935,777,221,823,998,363,
102,684,608,750,029,725,489,048,368,054,757,946,610,918,174,722,026,712,337,
080,978,826,021,775,373,213,690,606,935,413,681,013,237,831,565,660,939,688,
234,207,151,896,953,642,830,367,799,420,216,715,443,755,859,270,107,346,936,
703,358,605,720,425,242,550,222,543,472,021,836,298,193,485,857,320,925,099,
976,996,431,314,936,558,679,088,370,906,407,174,639,667,461,741,127,528,726,
673,715,371,115,638,743,129,696,766,055,984,501,876,466,542,452,162,407,619,
921,649,813,701,561,424,740,921,869,503,904,586,443,639,963,877,423,628,462,
578,463,191,735,582,091,928,720,345,942,015,067,426,096,581,046,809,425,205,
611,468,251,282,101,690,950,834,939,017,208,306,624,965,510,872,280,710,035,
056,879,736,696,148,151,891,704,728,880,593,501,519,976,026,112,836,576,285,
770,786,152,453,211,688,792,746,421,122,044,822,904,856,911,229,907,855,503,
877,033,385,566,107,262,458,078,126,422,287,753,241,913,251,929,573,128,321,
134,550,873,000,260,422,752,567,464,860,391,624,845,346,447,539,796,372,028,
631,430,591,856,056,654,501,178,257,952,639,407,748,523,711,401,341,459,491,
021,365,220,715,247,145,620,449,416,823,576,236,323,904,915,236,487,000,806,
570,673,288,544,779,230,600,825,871,485,152,812,863,870,374,574,488,103,850,
239,633,916,978,153,140,445,957,961,011,373,404,009,736,597,524,407,788,394,
227,451,268,567,385,253,589,888,191,695,859,924,241,804,689,093,649,137,756,
688,483,927,450,299,176,851,325,815,371,838,627,221,004,454,279,609,657,425,
090,659,782,748,725,251,437,552,722,250,431,570,038,099,005,303,160,870,908,
422,459,761,243,405,584,162,647,618,651,164,225,422,790,495,401,389,518,187,
147,870,712,517,801,146,582,420,630,318,371,726,598,077,160,170,243,347,484,
384,371,090,357,371,022,883,934,860,204,742,996,445,517,803,893,498,956,734,
899,520,457,462,257,588,689,575,779,481,087,421,666,946,238,523,337,184,654,
864,168,519,066,852,767,275,476,296,777,905,767,037,157,912,407,264,322,078,
299,997,549,455,149,630,141,445,142,964,172,552,241,276,255,537,042,901,927,
739,799,745,387,671,730,206,115,345,328,036,861,766,240,801,511,925,050,750,
777,679,957,794,614,794,251,732,786,371,896,114,721,764,355,272,844,319,803,
982,168,895,459,921,698,229,283,616,059,753,667,083,564,666,770,241,283,953,
780,110,058,556,958,641,134,069,460,940,184,107,580,533,653,907,564,136,593,
395,392,698,284,737,970,318,234,516,939,688,161,186,273,650,078,254,815,740,
186,570,583,798,622,081,256,601,960,273,470,078,134,961,074,731,505,505,959,
442,351,703,698,544,356,361,570,091,272,335,260,887,614,673,385,884,820,060,
460,676,168,349,088,706,154,921,969,212,305,659,225,184,109,316,360,357,858,
398,170,942,483,504,524,446,280,837,386,468,478,066,249,532,073,174,637,648,
933,761,973,661,335,039,152,014,517,479,465,443,603,444,802,200,841,237,727,
536,662,713,007,428,049,832,332,873,119,450,491,130,391,533,825,204,968,954,
672,626,471,419,551,401,906,515,630,876,056,303,130,503,662,876,158,024,891,
904,247,106,972,934,927,636,288,589,760,971,174,221,974,240,004,250,579,292,
335,401,476,101,346,513,997,556,964,592,020,085,202,970,097,115,946,124,812,
916,106,617,371,956,095,933,349,995,655,892,566,716,244,813,029,481,585,527,
622,201,403,835,470,086,391,606,334,520,674,177,186,752,986,078,759,747,273,
896,136,026,603,266,149,183,562,648,709,983,280,609,046,052,075,577,372,410,
818,068,601,695,181,535,129,755,782,732,333,760,809,810,248,407,345,969,277,
438,280,203,791,819,170,550,778,848,011,702,605,987,433,904,462,319,642,181,
739,747,212,701,249,914,209,215,034,481,188,685,624,302,199,519,054,287,300,
451,047,194,741,542,590,704,203,298,582,964,000,375,169,928,476,681,295,228,
581,510,849,736,291,665,335,285,086,121,800,125,418,384,519,962,313,047,547,
623,985,201,252,941,195,807,060,002,536,418,867,272,175,752,686,257,034,052,
250,011,809,000,121,146,811,196,178,565,002,377,148,127,903,455,191,909,601,
505,814,489,608,424,748,249,270,106,994,970,340,468,963,839,142,938,753,739,
176,388,799,147,803,785,214,945,663,058,355,128,077,971,436,408,251,645,423,
723,160,532,343,181,776,992,690,205,617,722,855,649,852,640,796,771,587,705,
687,876,219,649,276,860,707,684,161,283,814,996,268,076,999,062,145,538,401,
560,402,375,665,962,610,133,095,705,224,978,876,935,566,290,298,986,159,858,
899,252,983,988,642,000,849,930,460,509,919,828,663,948,811,568,412,232,846,
647,239,954,421,793,309,649,792,424,005,444,413,674,935,835,959,347,032,772,
479,013,418,347,221,870,707,528,659,557,258,943,213,278,266,022,555,821,139,
837,282,512,922,602,655,721,451,286,587,127,529,264,194,850,132,784,892,735,
763,476,835,766,386,338,081,931,868,741,769,914,913,507,441,107,992,583,476,
267,679,928,652,582,786,682,985,574,328,654,340,046,730,559,870,435,512,660,
408,866,284,076,082,189,906,081,842,762,988,888,306,572,820,409,459,982,923,
044,559,857,809,069,237,343,474,414,988,345,017,872,757,335,613,949,378,113,
403,982,546,665,994,320,330,381,929,984,244,008,588,434,771,295,227,904,511,
742,526,643,186,003,373,472,409,411,282,690,780,703,566,133,593,586,878,060,
141,649,141,452,063,868,078,756,486,719,296,452,940,761,658,819,440,604,429,
000,540,149,921,980,381,093,291,968,303,542,490,750,458,611,794,607,245,337,
011,532,423,335,408,630,434,037,327,371,794,553,755,495,389,388,658,996,298,
362,288,530,741,954,857,715,199,167,923,931,704,943,068,440,989,484,773,978,
354,306,317,304,790,916,784,026,570,890,756,927,790,922,678,205,833,930,190,
808,111,440,041,799,778,898,766,229,854,093,375,050,219,666,087,244,565,400,
846,621,655,069,786,349,258,405,964,150,166,125,690,267,398,221,127,476,015,
456,745,538,747,460,834,689,866,619,193,010,012,485,292,460,579,705,844,639,
664,111,223,414,028,020,144,330,987,704,220,674,288,004,713,703,330,726,929,
609,605,742,576,793,810,871,676,733,758,672,625,208,228,549,352,704,705,002,
049,832,139,720,057,229,486,903,704,459,113,840,428,699,889,801,196,579,790,
484,694,668,677,614,052,677,750,963,339,922,269,323,900,771,331,047,640,783,
396,620,211,918,377,934,029,671,440,246,547,746,461,012,745,814,755,031,152,
437,554,807,390,618,586,857,302,862,569,422,815,685,586,980,444,705,900,832,
880,505,530,649,809,128,278,256,871,317,119,489,482,727,030,044,130,209,659,
774,343,561,352,581,281,355,065,807,824,585,455,714,237,753,338,717,934,220,
125,275,245,004,211,273,989,985,093,715,244,724,510,767,741,192,504,847,574,
686,194,729,216,650,207,327,776,894,770,467,975,130,615,483,696,748,719,579,
464,158,021,312,269,174,292,577,739,209,134,846,284,079,923,117,406,952,537,
104,851,949,489,965,451,109,860,048,971,901,838,052,689,736,330,682,677,658,
940,870,263,596,728,043,758,312,604,308,210,061,587,218,610,151,209,060,600,
337,137,713,653,977,589,810,510,120,259,727,104,410,969,782,272,966,438,333,
376,082,816,414,274,166,647,569,285,795,761,834,628,879,159,282,916,374,314,
391,554,511,763,263,851,755,960,172,928,903,971,221,162,485,219,665,192,798,
587,351,400,096,683,831,659,898,485,482,494,287,229,348,454,290,003,455,993,
132,581,846,802,937,018,966,696,042,277,368,193,522,002,051,876,107,765,136,
059,426,875,319,095,449,281,431,231,703,744,804,925,268,785,042,362,754,655,
324,549,936,616,699,398,453,413,938,843,164,552,192,063,701,264,864,376,018,
079,102,163,494,273,152,343,205,511,087,878,536,101,193,445,060,961,459,740,
129,780,192,413,665,525,696,803,165,331,712,251,699,613,938,743,893,007,426,
572,969,141,392,552,143,895,378,424,506,998,277,864,102,496,144,706,329,985,
983,419,884,736,473,809,012,624,351,899,983,708,773,166,583,406,922,066,065,
756,264,818,274,687,721,758,573,542,100,356,288,030,950,977,283,739,276,298,
900,359,535,535,589,398,429,572,434,167,616,323,366,038,568,134,432,088,027,
068,086,572,793,608,049,032,677,220,769,251,176,288,204,030,808,484,212,716,
365,110,725,183,648,362,963,933,812,618,214,199,393,576,475,275,510,768,323,
791,441,192,445,483,481,345,490,785,059,346,190,948,588,257,745,833,377,114,
705,350,084,503,032,798,353,941,990,902,946,321,811,256,713,018,951,792,316,
224,590,505,497,754,069,699,729,604,568,470,795,175,335,431,167,512,727,933,
986,290,929,044,877,923,961,748,949,597,122,219,970,530,009,087,719,933,760,
844,298,679,920,922,545,574,453,804,275,413,728,828,873,183,663,924,172,967,
221,834,634,051,317,989,317,329,936,970,343,640,704,566,217,480,129,808,869,
689,262,624,743,098,111,304,301,238,915,742,148,720,598,511,491,050,501,697,
349,337,760,476,386,674,411,014,466,309,856,442,195,793,632,503,756,302,422,
658,788,941,603,506,631,694,178,708,778,099,217,791,925,023,414,458,749,335,
970,018,379,164,725,638,988,710,353,955,474,058,809,018,599,458,608,382,347,
104,993,590,272,103,001,344,656,536,873,801,592,933,035,723,430,788,502,175,
351,776,804,811,402,756,716,787,102,528,269,037,289,114,229,466,579,712,234,
168,572,538,219,333,000,623,384,790,226,514,582,971,484,558,523,060,756,497,
143,587,817,329,509,734,619,318,742,968,307,226,420,663,503,269,898,190,950,
615,373,253,088,965,804,624,497,064,274,133,937,795,529,285,963,066,556,106,
782,563,755,473,813,994,998,128,614,365,515,173,973,038,977,103,569,323,209,
055,099,848,896,586,515,442,607,359,499,630,948,208,922,646,059,100,508,472,
379,286,636,638,759,260,533,190,242,816,890,106,213,590,565,786,349,561,707,
449,538,906,434,968,294,816,616,540,953,654,518,013,097,081,316,457,742,308,
883,316,892,360,237,461,468,940,763,204,953,153,432,649,625,239,882,200,482,
836,813,217,503,193,405,375,740,590,184,794,851,879,013,281,137,097,744,880,
675,577,536,402,794,288,435,570,715,889,877,829,202,528,458,287,047,354,091,
239,221,071,454,170,035,921,074,266,098,991,371,994,316,712,735,196,944,516,
048,744,624,733,447,003,287,700,679,559,167,244,178,120,823,696,456,054,047,
540,422,704,789,175,578,016,661,293,196,257,605,146,462,461,209,239,036,622,
943,178,061,994,146,483,512,985,809,863,278,209,540,222,045,772,273,078,695,
748,803,755,809,760,867,153,617,932,513,550,526,031,031,883,078,168,642,476,
505,960,363,696,944,070,227,724,968,044,038,287,948,297,873,618,384,639,075,
798,542,069,883,142,338,235,369,338,683,782,422,125,725,716,670,741,165,977,
348,586,487,079,043,156,699,515,210,153,443,264,008,941,904,087,118,266,704,
476,868,142,608,912,761,250,405,129,068,523,478,814,545,160,944,105,444,509,
608,842,239,814,178,310,627,972,854,759,785,749,546,106,758,931,413,666,289,
098,014,576,113,081,251,359,385,228,126,318,243,144,752,142,534,699,332,467,
869,897,952,647,363,049,116,874,761,643,664,827,092,823,076,384,997,216,251,
357,500,297,966,653,184,167,664,461,566,507,525,941,519,459,868,696,551,244,
255,002,725,020,554,313,931,215,178,375,266,927,667,485,318,013,997,929,523,
826,529,080,514,135,117,089,271,605,086,467,146,758,056,325,785,065,699,022,
577,398,528,736,095,182,030,754,034,111,249,399,861,381,887,922,608,755,595,
943,148,863,031,568,605,397,147,062,218,099,151,248,516,818,803,915,081,847,
874,403,363,195,071,555,786,695,064,644,989,871,674,663,158,336,173,652,435,
032,261,158,007,161,791,749,807,454,663,814,793,487,858,534,967,605,867,869,
192,065,330,279,112,326,286,790,377,692,394,978,731,902,709,551,244,438,714,
150,084,211,840,145,758,000,699,687,641,062,021,262,792,150,767,525,987,406,
007,075,283,466,795,081,243,464,735,287,902,993,561,450,520,833,253,414,189,
635,141,198,942,949,953,344,133,212,883,630,311,258,509,875,581,274,316,107,
814,349,532,692,660,858,644,986,342,913,480,507,503,488,767,811,925,177,504,
979,428,355,063,395,587,603,568,964,182,273,692,923,007,276,453,766,296,032,
542,344,633,038,088,135,676,416,718,654,114,802,516,586,585,013,969,658,641,
167,524,035,312,067,796,529,753,850,404,605,760,321,109,424,486,701,541,602,
505,495,865,413,861,882,711,107,963,368,420,117,793,586,785,561,020,381,201,
570,295,414,411,130,796,262,718,900,104,641,772,114,254,671,052,180,995,074,
673,390,844,370,063,493,814,732,054,275,397,973,292,907,968,947,251,997,890,
161,254,960,229,148,186,310,750,152,855,706,715,317,944,366,392,622,617,106,
228,252,854,843,620,726,692,639,210,208,767,895,291,949,682,669,395,522,355,
046,548,924,013,760,579,727,575,358,122,355,805,847,515,581,073,182,309,879,
406,284,307,204,329,126,983,440,121,462,282,975,088,397,541,284,010,923,505,
623,147,014,112,321,195,237,645,996,570,926,909,018,906,790,300,767,955,657,
024,225,811,313,045,600,970,302,447,662,525,937,477,125,926,164,636,215,827,
229,253,748,255,350,517,610,578,839,238,579,204,634,468,471,626,522,196,515,
903,143,447,457,105,381,631,331,685,013,785,584,902,262,678,330,631,717,372,
575,279,030,880,286,999,203,869,625,504,904,510,366,152,315,232,588,877,113,
054,429,210,670,835,947,046,155,808,159,592,676,573,203,723,234,284,898,713,
920,546,585,793,063,043,450,966,181,339,598,878,301,924,954,563,126,354,797,
736,878,717,615,970,555,256,542,556,770,519,455,180,139,746,386,716,470,433,
981,701,809,840,451,084,058,164,047,793,190,350,861,856,106,520,791,979,120,
390,138,268,381,740,507,757,742,069,755,464,132,415,204,009,251,590,135,238,
038,120,990,671,996,021,979,076,088,490,929,065,898,695,474,819,137,261,481,
869,208,245,415,915,953,359,737,258,853,596,547,291,637,289,112,592,742,322,
777,058,247,408,824,778,883,195,393,119,175,623,522,457,121,057,200,641,508,
972,647,256,400,621,244,283,265,188,159,246,563,756,319,657,512,828,341,801,
884,992,451,377,625,125,786,265,871,243,584,117,583,204,569,777,910,363,789,
163,258,135,624,755,156,917,750,421,612,539,774,510,781,611,646,100,394,996,
699,444,310,693,044,658,807,548,765,002,874,323,157,877,584,584,645,862,726,
277,551,522,689,097,738,181,862,870,814,929,650,422,762,123,733,928,675,298,
947,649,161,217,868,389,894,062,193,979,363,174,598,717,324,704,639,687,540,
408,950,028,197,000,691,978,919,041,633,032,438,419,446,097,374,516,161,725,
490,503,334,488,420,432,739,626,805,158,632,705,935,965,173,351,031,043,871,
518,273,359,736,022,890,542,207,271,980,660,657,265,797,115,296,724,758,251,
681,272,717,877,630,277,744,010,628,158,295,889,070,944,292,025,223,803,164,
817,444,198,770,969,231,261,113,743,100,105,659,279,232,160,475,851,688,313,
429,453,333,645,501,528,281,558,704,220,923,328,095,625,010,424,218,414,280,
887,284,138,445,859,836,439,563,486,986,836,334,650,046,176,149,591,787,328,
062,990,874,156,552,729,416,139,242,199,201,095,858,555,911,826,818,557,624,
342,102,909,726,295,210,749,860,237,841,979,995,243,355,358,692,556,636,592,
528,514,759,830,331,100,893,904,837,362,350,152,538,375,754,453,097,991,399,
091,042,942,949,285,974,601,743,492,952,883,579,257,381,627,565,149,935,041,
705,479,884,874,763,308,280,180,650,988,817,479,356,414,900,467,285,779,588,
447,195,249,219,013,731,927,416,666,974,832,951,722,341,278,237,620,289,895,
755,578,018,595,240,937,776,252,820,651,692,773,095,759,112,024,542,991,369,
694,753,718,930,797,636,211,855,719,587,045,125,732,453,569,485,479,052,025,
177,950,404,910,749,727,704,345,282,512,526,025,069,665,276,205,311,773,265,
929,572,664,677,959,446,967,818,464,481,590,027,800,065,091,431,791,509,814,
233,779,930,281,524,130,131,679,407,512,380,677,544,495,182,291,886,936,965,
333,952,503,536,173,473,211,933,873,935,555,449,176,410,190,578,005,413,580,
551,997,166,318,468,614,003,766,641,891,715,348,663,372,248,427,179,281,091,
981,202,918,748,238,814,465,300,324,470,695,122,760,540,972,551,955,857,262,
046,279,707,051,877,302,786,362,405,553,201,499,069,485,702,438,167,262,427,
680,385,306,303,889,339,708,711,650,724,308,597,239,273,174,618,314,229,215,
730,129,347,319,061,968,943,282,485,466,158,674,169,981,058,217,126,225,244,
443,772,246,594,693,606,417,541,343,091,617,636,866,474,567,043,299,269,586,
367,773,991,243,585,989,845,813,649,154,572,645,114,383,649,974,591,726,003,
550,751,662,161,727,015,162,637,366,200,657,980,672,709,823,131,975,588,521,
725,818,812,943,281,850,773,430,362,804,156,527,731,602,740,593,819,541,028,
092,334,961,790,269,236,977,308,439,589,541,788,706,479,549,352,887,265,279,
403,729,517,880,044,896,525,816,485,687,616,699,187,436,237,218,938,626,841,
247,136,479,113,046,788,999,388,918,259,027,816,558,921,765,166,186,647,350,
035,116,775,551,592,737,626,766,104,225,418,653,003,306,469,144,441,840,244,
461,725,860,061,510,561,879,922,536,520,474,213,764,518,085,388,115,627,745,
651,185,972,516,395,578,839,701,405,387,889,469,862,292,164,573,962,601,739,
548,255,137,933,791,760,874,772,219,179,789,551,640,402,611,665,091,873,899,
552,776,469,778,803,975,019,543,077,295,681,421,239,457,035,463,137,799,320,
715,217,235,705,537,056,526,537,440,815,626,999,893,947,126,163,179,619,325,
559,204,983,094,934,363,922,305,006,764,313,371,340,011,348,237,984,147,926,
140,048,782,019,406,538,074,749,428,463,787,371,535,639,958,303,744,438,251,
031,262,936,312,290,978,150,641,337,902,692,231,892,775,682,465,828,066,151,
993,092,313,390,518,787,901,887,145,416,064,189,267,753,263,320,216,482,227,
128,162,444,170,294,195,492,992,961,542,438,696,384,603,322,254,970,223,943,
053,017,847,346,561,426,060,124,319,723,072,206,444,169,215,700,610,485,232,
769,644,435,833,823,492,495,517,674,215,227,787,921,711,792,570,560,186,158,
237,126,792,277,557,090,204,374,372,738,862,701,470,861,203,345,645,863,251,
530,799,551,817,496,566,604,096,722,209,688,550,320,538,121,653,004,227,665,
932,284,642,412,736,098,323,757,077,256,225,112,494,542,460,732,992,063,682,
807,227,694,107,512,028,168,530,436,398,450,120,590,143,759,153,637,712,414,
279,024,013,632,214,573,961,959,964,052,209,737,638,982,727,015,801,957,993,
263,716,705,257,072,181,328,860,509,858,133,979,428,338,608,627,174,961,716,
727,709,607,400,687,430,625,021,890,310,382,598,210,325,727,689,223,428,516,
084,075,602,289,128,062,872,846,731,685,806,496,071,857,190,500,303,258,800,
687,641,635,550,805,806,305,945,413,670,794,109,570,515,635,414,799,443,266,
841,043,312,855,736,366,605,411,232,398,519,751,876,593,207,405,936,947,269,
972,450,466,343,788,780,218,798,441,384,716,858,083,828,678,073,514,861,512,
211,284,213,899,586,357,914,808,727,186,914,696,895,692,399,181,404,941,462,
686,855,166,441,480,889,344,235,761,086,295,786,788,330,485,071,084,171,509,
828,281,895,864,198,394,908,577,295,457,362,538,204,930,845,997,333,795,060,
838,417,699,762,774,370,095,049,493,424,773,761,488,750,981,548,608,227,614,
690,804,081,782,500,917,989,697,902,715,761,987,985,779,234,024,569,510,042,
000,052,504,983,509,488,599,299,001,432,588,490,863,114,903,763,740,088,859,
980,114,282,782,751,553,109,177,922,948,802,883,914,277,857,621,904,012,446,
022,304,800,252,335,806,599,702,655,383,774,119,867,651,189,650,475,257,316,
146,715,904,076,587,097,029,007,546,204,857,826,100,089,473,003,330,678,155,
419,069,106,565,917,033,062,448,448,009,146,704,824,048,163,080,159,380,935,
171,097,999,197,619,485,912,127,276,195,064,011,143,447,115,378,297,265,692,
845,399,099,471,010,481,701,674,972,314,650,101,084,497,434,120,490,384,371,
797,518,346,806,837,830,834,250,385,922,796,660,748,598,268,759,890,347,317,
178,617,997,171,386,635,681,934,645,198,444,545,714,138,597,362,432,868,105,
926,722,550,684,930,759,286,401,046,966,462,697,644,809,133,289,523,777,410,
607,640,121,090,231,020,063,908,434,407,151,432,967,385,454,508,886,998,212,
145,344,161,559,417,211,718,411,844,085,893,267,916,550,021,218,171,188,022,
753,262,500,251,275,723,068,853,741,177,794,517,295,004,285,551,199,521,359,
841,451,647,339,627,675,697,737,772,320,370,072,631,799,908,203,106,784,799,
762,466,192,868,272,823,620,432,440,721,828,861,258,125,563,404,603,944,789,
660,871,164,629,936,418,791,911,556,276,487,685,515,878,511,599,607,204,420,
045,904,838,985,795,042,234,570,151,632,057,434,901,442,390,070,998,914,271,
761,410,141,037,328,316,175,439,453,813,503,836,000,871,641,173,068,508,579,
140,987,817,601,715,456,144,579,152,953,133,692,642,332,805,766,766,637,391,
026,364,831,400,261,249,854,585,464,557,230,799,279,163,886,134,737,057,324,
492,673,267,695,335,398,195,783,505,249,048,469,701,210,188,940,811,997,501,
453,754,488,628,816,485,392,825,553,321,021,638,558,795,933,131,254,529,054,
655,605,893,832,720,841,924,861,840,673,620,701,936,963,670,197,892,069,861,
112,096,369,615,517,335,622,329,668,148,910,689,831,255,074,500,937,153,969,
716,172,484,749,650,232,723,564,418,901,077,615,817,156,259,915,716,362,846,
908,373,211,284,124,719,272,428,371,435,795,173,801,380,024,340,266,858,790,
590,328,480,637,582,370,337,458,072,049,381,153,379,504,876,035,842,981,048,
715,995,531,407,816,502,581,080,643,416,348,069,506,697,550,928,054,353,010,
419,785,161,461,248,718,895,062,127,302,351,963,586,667,314,777,699,137,782,
848,735,255,053,473,855,559,869,274,877,949,071,629,213,853,739,865,110,591,
226,913,046,432,915,223,420,020,697,451,535,725,360,721,095,856,726,487,861,
622,218,790,946,273,727,599,553,050,235,345,294,044,745,093,774,405,121,391,
641,171,202,943,724,859,690,219,779,146,842,744,387,265,202,456,796,445,030,
520,296,266,210,261,879,023,766,664,072,045,933,609,483,897,520,088,963,970,
356,844,749,154,204,343,212,586,729,309,393,874,447,049,710,408,738,419,437,
931,133,723,034,042,428,480,131,408,905,758,776,008,878,163,238,438,451,813,
476,341,935,195,817,239,799,620,208,374,278,088,791,794,207,970,531,927,232,
481,670,172,452,247,867,434,602,150,541,358,551,285,282,036,319,745,859,097,
605,071,517,522,690,713,610,454,351,904,841,466,015,899,205,269,099,198,959,
778,046,222,873,841,491,882,209,894,712,531,719,708,110,302,621,494,052,355,
211,687,845,735,372,146,292,189,444,840,039,170,740,313,869,224,089,243,564,
077,350,061,958,355,773,367,379,821,055,751,447,651,909,368,163,072,556,912,
995,032,259,795,367,602,321,308,963,648,425,284,056,568,660,423,034,058,126,
593,685,903,963,342,663,647,285,100,017,765,147,018,029,226,387,132,151,788,
363,094,432,285,285,674,042,050,562,405,539,191,353,775,125,949,644,104,157,
307,480,977,409,691,219,828,199,018,757,264,215,355,118,733,921,838,788,767,
533,406,275,489,730,150,557,097,054,854,064,576,778,808,924,168,796,573,284,
223,164,980,465,852,434,958,504,935,242,276,418,706,588,163,813,682,589,230,
340,999,219,730,956,477,773,895,663,472,469,474,117,275,714,044,413,319,658,
180,997,954,483,630,895,301,841,144,311,355,638,761,900,508,913,310,242,859,
891,639,369,930,570,617,846,715,117,042,666,015,624,606,155,880,684,706,878,
869,450,150,261,531,034,736,886,767,628,796,801,114,903,744,417,818,821,514,
245,960,254,277,041,939,659,497,220,433,766,709,788,285,019,233,429,723,717,
331,736,322,092,638,248,558,956,698,362,316,846,651,931,286,377,563,812,660,
367,783,326,151,233,595,122,104,685,338,955,107,597,834,557,898,609,606,518,
333,629,602,987,907,944,942,073,686,401,223,863,852,815,260,121,753,727,545,
168,359,971,518,177,610,927,299,119,834,075,325,113,789,753,136,577,134,226,
734,302,368,446,861,394,734,369,821,000,870,749,821,270,439,348,127,850,047,
461,691,106,557,316,120,466,518,823,619,756,392,501,785,328,439,680,583,141,
779,316,423,489,491,764,622,077,118,313,349,489,385,323,484,267,806,829,692,
413,696,572,083,977,093,312,655,246,640,574,278,369,750,681,167,548,931,828,
564,142,916,528,169,684,462,367,285,206,717,058,229,277,585,361,813,956,089,
672,677,089,101,473,443,714,057,285,400,005,948,544,058,100,249,183,084,606,
067,195,285,311,856,946,397,136,615,196,680,647,521,411,827,309,432,474,025,
669,013,045,867,845,227,300,163,140,166,663,992,579,578,735,497,510,034,926,
702,473,529,183,374,477,137,385,935,186,017,968,952,076,634,784,239,744,308,
958,296,260,128,141,891,672,086,594,499,181,511,430,130,676,562,126,012,608,
097,481,350,135,413,525,665,298,784,550,306,900,767,368,910,788,884,318,729,
075,623,699,670,814,935,123,787,694,173,207,247,829,418,934,283,183,337,941,
780,328,377,554,905,340,123,139,432,197,197,870,034,572,699,186,530,039,997,
772,055,226,011,367,769,974,093,365,817,174,341,139,142,810,718,716,398,807,
809,651,968,144,805,183,804,758,467,725,052,055,368,435,411,975,489,134,637,
359,397,165,144,549,384,537,184,129,082,411,888,122,107,457,003,393,697,998,
891,753,960,742,743,764,293,888,571,995,440,651,326,333,027,374,680,124,941,
823,817,319,524,783,091,497,274,777,361,232,224,881,008,574,024,093,966,435,
440,999,601,919,270,168,710,470,397,743,634,394,976,738,164,544,844,041,882,
407,918,702,232,221,178,086,700,421,340,279,595,576,000,837,218,752,726,975,
458,856,517,434,961,365,614,654,777,578,571,046,473,496,670,476,954,502,677,
679,825,461,297,905,149,941,889,783,065,963,985,653,634,185,889,543,100,482,
609,319,615,421,823,258,062,584,815,164,084,345,417,276,356,701,811,095,923,
637,378,840,183,427,376,506,556,272,881,393,735,431,121,910,814,843,341,126,
764,195,720,111,012,556,347,250,956,248,115,251,012,660,944,770,573,522,756,
071,140,215,436,016,158,511,708,061,690,220,454,043,575,279,801,242,467,248,
479,762,808,432,415,252,745,424,941,621,796,117,140,863,824,281,502,954,825,
785,901,271,455,246,256,945,333,936,817,514,065,284,132,206,919,010,860,127,
328,937,694,672,767,332,037,942,965,804,140,494,914,199,250,616,527,581,514,
356,275,191,661,898,842,205,413,203,262,614,273,093,236,915,139,873,850,816,
623,619,447,569,369,965,019,383,605,663,211,216,819,474,674,491,828,589,896,
197,750,524,267,287,388,981,063,773,927,304,435,278,327,772,567,245,513,488,
557,246,939,564,158,044,009,109,237,121,278,867,095,924,484,792,096,369,277,
349,456,324,045,941,044,967,184,951,966,154,299,724,228,628,051,426,399,365,
565,902,729,865,641,102,395,110,335,668,644,638,528,245,032,497,506,397,016,
682,963,543,621,382,401,006,572,338,201,328,474,762,969,041,779,917,771,411,
624,534,706,228,613,623,068,816,553,635,014,455,248,639,006,981,002,588,262,
244,541,384,007,398,757,884,439,745,454,642,947,375,418,157,519,056,840,099,
125,848,703,613,705,112,115,013,370,656,430,950,205,987,556,570,967,196,411,
095,517,796,750,196,468,177,258,559,391,188,105,876,929,413,824,933,388,790,
220,977,528,265,049,159,131,353,407,362,272,463,526,442,137,471,029,927,175,
048,753,521,691,925,613,849,651,849,109,331,978,086,128,484,958,879,943,059,
080,507,425,632,845,869,571,757,860,878,335,124,893,954,644,735,789,852,309,
657,056,470,771,947,500,214,974,587,613,275,440,129,025,523,753,540,182,704,
344,835,867,354,449,078,134,231,786,734,891,016,337,446,837,869,320,147,743,
358,184,890,499,015,598,530,150,081,474,945,738,562,260,135,910,823,659,925,
716,634,500,087,584,178,064,953,028,359,777,598,162,286,136,810,793,464,676,
442,359,047,691,171,893,247,578,418,589,087,891,852,663,491,082,351,219,968,
856,156,841,645,770,081,879,696,007,265,929,477,251,957,287,288,397,671,433,
386,796,791,966,924,964,705,082,096,082,808,788,885,845,493,905,340,763,005,
005,298,486,703,083,520,184,130,467,026,092,052,632,967,771,546,812,301,397,
832,699,921,561,307,881,960,084,260,148,357,227,592,858,080,624,489,314,639,
474,688,404,101,075,481,835,670,486,630,864,112,217,163,330,462,164,972,083,
289,804,294,953,243,422,997,299,224,248,554,469,038,369,426,130,730,881,338,
827,382,925,140,292,789,237,355,551,221,688,253,741,439,670,112,483,292,509,
735,379,458,101,121,036,565,498,077,560,364,005,738,372,330,432,929,615,889,
385,171,500,605,277,532,430,684,708,255,081,674,450,661,103,745,986,180,659,
712,508,948,072,023,055,719,715,280,276,610,920,147,219,197,759,668,994,767,
790,508,090,390,799,009,064,297,780,318,583,051,127,859,149,318,516,633,654,
728,319,093,566,422,637,593,426,934,330,095,888,297,597,243,159,889,859,089,
301,429,748,090,755,683,151,244,639,473,565,805,653,814,640,847,366,753,293,
034,014,841,090,336,120,784,507,764,097,824,072,955,401,204,620,595,972,323,
509,836,842,648,083,437,732,813,363,577,175,875,753,281,266,235,473,937,055,
435,898,359,425,349,823,119,374,764,189,929,817,382,703,151,986,992,327,017,
039,648,444,493,922,983,674,207,798,622,931,924,014,206,996,696,858,584,108,
992,003,714,334,911,845,460,574,393,177,600,268,971,518,996,573,622,582,745,
789,941,196,445,624,582,659,505,861,158,819,383,089,146,704,514,970,073,958,
472,179,646,230,613,156,582,170,839,585,480,184,893,017,187,903,754,303,260,
305,929,931,806,263,612,610,330,998,422,867,329,359,763,536,785,637,368,200,
296,792,288,984,925,070,602,002,070,268,306,713,826,667,137,270,883,715,829,
526,105,590,765,517,947,845,489,260,659,658,163,611,463,721,862,285,383,084,
517,294,663,905,880,959,616,733,394,033,985,184,093,847,829,249,329,034,051,
199,601,113,782,130,519,120,514,857,198,153,724,994,495,336,805,814,111,295,
958,241,606,185,950,716,181,525,920,345,980,851,221,869,294,605,972,603,130,
478,702,127,377,697,167,642,881,006,851,069,968,795,913,038,225,429,730,367,
997,904,955,782,972,052,871,063,561,093,985,737,390,294,593,692,313,123,584,
355,203,550,259,789,557,486,390,800,149,183,856,036,352,454,220,038,742,659,
944,723,927,320,395,600,823,007,082,521,460,232,942,818,482,540,724,108,421,
994,990,916,268,740,447,338,543,516,989,830,650,340,484,234,514,442,495,219,
711,178,564,929,745,573,437,944,593,928,834,271,091,525,655,673,715,516,760,
833,184,225,012,865,091,095,066,817,313,046,000,405,359,312,496,459,993,833,
727,868,251,437,522,241,824,792,330,787,119,272,194,200,213,508,471,825,248,
364,319,217,104,531,597,459,173,943,528,125,079,601,677,335,719,667,911,567,
510,822,529,651,112,103,686,034,814,335,379,782,927,589,192,888,220,075,329,
307,598,443,497,561,327,615,367,183,556,185,252,717,838,648,575,608,166,741,
722,990,475,505,552,412,993,162,270,184,700,852,990,808,716,619,179,468,356,
688,082,601,872,863,821,384,974,857,661,164,194,039,945,820,650,295,100,502,
107,370,288,339,633,803,489,566,934,936,245,806,347,481,836,945,868,988,095,
384,103,675,268,359,866,420,293,210,577,474,809,799,534,938,577,659,479,493,
343,388,153,458,433,687,129,094,589,835,798,887,536,760,527,141,143,450,327,
150,822,528,229,148,267,506,107,756,170,444,761,727,364,646,677,756,776,894,
039,131,938,405,993,741,385,391,003,769,982,803,347,271,480,395,756,121,503,
159,994,879,979,384,260,134,087,032,429,587,887,232,846,577,275,469,289,135,
679,377,301,538,474,365,703,821,255,255,949,248,643,512,963,402,607,109,387,
497,861,510,338,665,892,125,317,266,464,219,952,369,634,014,009,317,232,008,
949,937,105,443,095,951,470,273,186,606,553,603,559,228,983,063,391,906,263,
157,501,484,355,241,446,752,560,101,223,998,864,689,358,109,549,395,035,478,
821,444,224,281,946,719,744,562,012,781,523,250,885,024,633,877,907,773,405,
325,403,982,104,007,689,148,731,574,337,273,554,889,228,865,398,779,612,670,
898,073,239,692,825,915,284,524,856,973,165,049,501,603,155,380,481,280,274,
780,318,235,664,629,681,699,684,083,934,024,837,838,217,254,846,884,533,900,
262,939,538,943,915,448,069,804,047,964,576,071,137,940,899,192,172,109,296,
859,282,059,870,103,103,165,433,126,938,973,940,697,242,370,151,457,539,719,
063,656,108,152,434,920,900,672,792,996,056,758,995,405,235,104,360,157,128,
801,233,896,831,310,746,674,485,270,759,508,930,193,496,195,674,432,625,659,
115,775,165,817,105,925,784,645,690,353,426,549,171,722,591,888,969,751,215,
129,937,301,943,127,982,633,971,090,054,745,773,475,521,125,534,451,785,036,
583,294,200,296,562,972,000,996,975,883,607,703,399,231,078,399,268,949,706,
377,224,761,512,733,825,753,487,578,938,579,541,625,768,871,609,282,660,316,
295,257,319,550,237,441,817,109,105,590,126,357,399,568,497,992,452,242,305,
740,642,863,108,422,139,370,868,587,592,130,331,303,271,261,318,264,741,441,
595,051,517,587,843,418,542,261,704,595,036,936,399,217,759,568,021,301,849,
822,917,965,787,326,266,958,929,801,749,460,530,370,975,469,754,107,556,101,
497,561,856,212,245,367,746,654,119,091,232,548,337,782,903,101,634,929,540,
597,084,460,877,152,811,017,778,355,819,265,486,612,260,606,044,949,549,582,
715,755,646,896,431,284,960,547,296,162,358,467,590,338,438,546,796,385,075,
869,102,377,154,474,763,060,076,028,510,280,557,437,729,562,967,503,336,128,
016,022,784,616,063,878,785,160,120,018,685,989,003,777,080,452,853,292,389,
314,817,685,469,348,769,443,678,971,128,343,634,424,688,635,550,028,976,785,
876,972,892,276,226,622,731,908,478,603,051,148,100,295,576,716,578,180,989,
168,152,653,365,716,252,064,207,529,608,840,101,495,432,885,964,783,326,066,
559,454,448,269,853,993,428,392,628,243,023,330,081,769,957,259,039,703,783,
879,242,820,374,315,693,941,986,065,640,544,296,291,394,464,148,137,594,253,
262,276,050,860,538,368,113,357,779,953,383,302,790,810,137,619,836,635,216,
232,265,957,684,871,162,635,415,036,657,982,550,201,474,171,217,792,424,112,
642,673,871,311,817,543,920,076,773,799,715,081,974,885,892,556,859,774,778,
671,634,357,253,303,873,120,281,645,228,887,720,169,063,875,457,478,458,592,
650,291,866,508,310,680,959,759,729,616,259,119,792,536,565,572,452,022,843,
667,787,168,113,197,605,124,585,877,130,166,247,923,609,978,408,582,406,457,
978,579,771,242,928,954,424,247,280,656,144,333,887,025,844,109,114,301,768,
166,800,791,188,254,086,119,289,554,716,125,054,001,285,154,402,981,853,791,
355,025,370,044,419,113,928,008,673,280,272,886,124,449,660,789,215,675,947,
112,479,125,616,030,267,541,753,472,450,357,321,519,976,685,915,172,265,414,
622,545,365,324,275,602,449,786,387,707,316,152,667,603,533,226,879,761,280,
276,912,487,219,981,297,813,093,041,542,696,460,231,568,866,467,746,567,271,
686,307,278,973,793,794,865,921,544,732,262,029,944,296,168,608,149,005,798,
148,376,303,049,256,783,631,831,154,560,510,196,779,204,196,420,547,702,959,
037,129,208,800,915,280,637,911,925,074,959,585,187,247,229,872,219,573,107,
165,494,340,145,157,586,395,466,939,528,015,819,676,653,074,221,851,621,692,
071,935,072,261,624,775,758,515,467,610,038,955,513,414,362,030,872,170,228,
568,723,136,039,900,779,079,984,256,296,420,569,735,086,903,551,695,496,936,
892,364,749,918,523,544,830,145,024,016,887,703,460,065,916,784,133,459,839,
397,169,932,508,822,079,816,641,908,041,777,927,036,162,626,441,877,199,083,
312,833,371,786,475,653,387,378,130,777,101,839,200,907,928,443,017,369,339,
816,267,256,619,371,179,806,879,517,354,104,890,052,511,991,642,528,974,381,
521,523,181,465,126,143,095,711,967,190,809,809,652,329,956,630,557,363,026,
348,665,036,265,005,903,564,105,681,753,311,899,477,971,097,741,753,720,682,
495,696,866,397,058,511,677,328,451,958,369,060,383,732,058,371,946,147,705,
454,614,975,507,628,742,847,263,897,454,171,163,735,261,128,761,136,967,269,
832,771,663,403,990,058,831,578,235,500,154,266,747,708,958,756,912,481,272,
641,277,184,572,391,780,924,672,029,511,821,318,892,176,906,664,662,254,387,
489,090,596,266,288,668,020,788,788,668,872,239,025,203,500,436,113,695,151,
615,901,969,019,737,350,735,222,951,000,114,882,643,096,552,754,890,203,193,
611,160,620,596,116,784,563,259,359,901,788,010,820,593,084,709,872,421,769,
748,657,270,440,643,803,044,601,897,416,080,925,853,714,146,709,707,740,459,
514,167,536,765,404,739,937,582,269,739,999,809,077,750,740,603,712,486,486,
808,004,499,662,831,771,553,205,411,143,403,375,668,032,871,505,545,756,574,
091,101,376,503,122,126,134,260,723,362,092,509,016,846,125,112,870,565,269,
286,664,310,293,647,966,215,653,185,732,513,510,286,201,207,354,608,373,762,
194,711,120,421,030,926,193,834,770,936,343,862,730,551,340,178,202,751,944,
760,510,370,369,571,912,228,846,771,041,322,922,468,540,627,769,319,690,859,
294,321,293,566,606,642,318,826,078,996,226,680,454,735,244,284,156,431,717,
521,583,031,951,340,980,212,000,552,933,447,123,834,856,602,887,366,710,481,
754,506,575,678,448,227,763,951,465,336,296,222,330,515,708,277,891,563,610,
142,992,436,457,190,779,891,399,419,357,414,660,763,501,681,208,770,274,269,
472,556,112,488,194,821,024,607,197,588,063,982,447,948,558,447,314,124,417,
104,731,687,270,149,279,363,262,615,614,742,795,873,102,439,936,719,472,522,
470,503,573,442,443,946,572,463,658,896,243,042,574,677,723,865,827,325,873,
585,361,264,146,965,350,751,685,549,768,035,801,562,372,309,208,744,671,931,
857,798,047,798,685,371,630,660,680,929,456,717,943,093,711,763,733,781,797,
213,753,812,938,257,904,063,194,115,550,299,614,705,897,967,897,592,741,797,
396,231,613,792,617,049,434,335,265,337,067,759,120,687,740,174,120,633,184,
784,367,815,777,567,675,112,953,500,348,744,902,651,486,563,310,259,125,120,
828,438,742,550,043,146,162,838,160,239,211,642,310,216,822,520,947,874,022,
762,414,368,554,107,532,249,868,769,980,282,022,019,632,262,441,106,039,072,
099,840,606,431,059,003,716,043,144,794,295,628,790,388,959,082,442,525,028,
905,444,262,894,879,069,768,324,278,474,366,398,536,432,411,308,323,416,111,
925,195,654,627,610,628,000,131,390,138,789,311,613,801,858,601,813,068,632,
509,957,775,924,218,604,132,124,763,296,338,612,425,803,246,226,868,522,235,
940,411,941,607,049,794,825,116,748,946,982,345,100,951,162,685,447,009,286,
125,659,782,728,826,194,090,747,227,833,601,340,082,329,410,066,527,782,669,
873,136,289,112,820,632,430,128,840,849,249,979,675,827,807,289,499,749,976,
750,459,975,452,665,770,010,806,635,978,684,818,338,668,640,847,737,047,905,
682,064,637,094,737,166,806,730,371,066,574,456,463,667,865,637,220,681,075,
948,908,445,930,836,869,295,205,061,076,708,831,044,235,940,919,189,739,820,
115,807,547,599,497,963,199,899,829,441,584,020,015,417,205,762,882,732,489,
381,654,862,500,603,161,008,042,177,535,311,118,152,563,559,549,380,760,866,
219,165,066,259,249,984,249,519,718,855,715,874,234,954,120,165,803,260,248,
254,986,248,196,828,731,347,053,727,096,790,398,419,285,395,736,387,419,406,
655,546,274,820,523,806,243,736,746,294,465,390,198,076,127,571,004,424,855,
807,604,358,940,561,498,524,550,688,073,095,966,259,337,976,877,034,447,646,
078,827,959,374,579,254,180,006,918,528,402,730,439,332,553,856,095,014,640,
127,190,628,846,347,636,342,311,189,595,008,547,970,208,880,701,546,091,555,
236,585,178,437,479,695,109,192,174,613,809,367,477,231,881,452,258,495,606,
195,396,541,980,304,517,305,892,048,694,717,170,336,414,141,239,945,675,936,
706,640,357,962,154,427,037,531,490,687,581,591,357,295,010,317,315,395,049,
594,986,572,024,482,535,966,330,576,797,523,941,770,795,393,617,021,617,035,
747,939,790,939,640,887,218,375,577,947,274,492,452,539,020,447,914,549,652,
568,803,705,594,933,617,280,888,070,087,608,545,481,300,309,257,127,412,159,
106,737,291,333,086,221,379,600,971,836,952,667,181,874,816,402,157,452,951,
513,671,481,597,675,094,529,888,761,108,411,012,798,989,770,473,067,773,855,
257,208,068,538,447,267,872,153,286,977,954,561,023,571,665,884,185,654,531,
860,403,874,448,634,207,974,026,145,805,495,143,004,330,973,295,154,179,528,
840,411,401,584,384,808,594,654,360,988,643,146,040,940,902,581,451,877,372,
904,129,894,110,063,850,205,007,211,297,568,078,356,092,481,447,786,904,100,
265,143,223,326,748,482,460,473,236,820,450,398,862,745,482,436,953,590,528,
977,401,111,680,782,555,459,441,534,183,328,853,276,001,055,070,260,595,891,
667,414,757,248,858,047,496,662,345,935,792,643,657,249,904,576,020,070,883,
164,319,366,724,846,665,372,317,222,383,685,470,120,361,113,035,300,981,385,
669,837,922,859,203,630,381,942,724,527,534,658,823,629,113,663,113,960,509,
946,535,588,485,146,546,114,619,834,665,723,532,356,909,540,429,194,380,062,
662,013,869,673,303,904,334,452,930,081,911,509,301,974,580,437,044,643,383,
429,023,692,442,440,115,810,753,521,136,964,414,419,645,212,069,648,980,102,
505,868,720,488,415,933,344,623,347,593,399,355,073,177,639,903,067,239,246,
694,059,283,228,810,668,417,531,493,971,742,109,387,976,705,274,198,474,518,
167,094,396,775,060,170,692,837,096,545,091,400,732,943,118,919,225,456,767,
029,252,107,201,756,746,760,249,224,966,152,256,370,967,100,759,274,541,834,
900,621,832,539,257,208,689,542,953,076,509,701,849,345,764,472,702,914,820,
226,629,816,464,197,804,883,590,684,863,024,311,651,678,299,095,962,060,437,
115,309,377,307,911,746,984,483,230,999,713,781,874,254,430,929,959,960,419,
177,936,068,126,697,437,431,075,087,425,668,286,894,915,380,885,998,177,746,
454,708,584,213,500,157,412,288,726,654,786,549,411,220,268,498,526,012,315,
087,922,857,766,913,673,195,040,968,505,629,068,768,898,806,920,329,285,663,
591,403,741,260,769,826,548,681,686,040,054,201,835,109,100,896,322,051,893,
790,724,488,613,243,443,768,046,595,470,955,078,880,009,898,717,388,545,906,
892,402,220,951,744,140,026,944,093,734,622,676,068,104,992,948,510,594,478,
256,365,692,874,086,668,028,244,676,137,560,595,551,024,194,294,278,476,739,
747,759,844,072,378,813,368,481,184,682,845,773,346,564,990,039,091,807,637,
577,611,202,304,460,388,633,445,067,575,733,524,579,576,794,674,001,754,780,
465,135,986,621,295,138,327,975,699,699,793,430,777,478,298,227,686,438,045,
756,589,462,667,799,564,424,017,982,039,724,630,134,673,291,030,341,504,171,
589,882,949,868,987,639,959,561,717,089,113,955,007,007,277,870,432,118,082,
492,040,851,150,218,480,290,108,467,109,810,685,647,092,806,583,049,701,346,
786,655,879,771,925,829,938,917,348,401,630,521,273,727,037,228,164,201,457,
379,813,220,118,558,479,729,264,687,682,392,421,614,717,112,407,293,841,319,
213,210,170,821,210,869,389,205,683,024,174,081,022,095,599,900,649,341,145,
563,604,477,121,155,820,316,741,226,277,058,915,610,479,174,909,077,387,062,
801,864,381,554,842,436,776,904,265,719,322,386,356,653,210,196,104,494,402,
230,341,984,141,688,017,593,606,765,282,170,014,337,289,467,434,761,779,078,
556,630,337,949,373,918,455,069,701,889,481,331,013,305,226,267,601,806,496,
802,519,889,273,647,638,354,874,857,775,320,587,782,188,288,203,987,475,689,
099,974,945,296,893,170,844,617,569,687,991,629,888,819,379,213,812,860,661,
531,850,135,764,030,177,959,371,497,936,665,894,600,437,402,866,154,241,761,
033,268,174,760,220,925,744,805,985,845,200,757,422,791,672,877,339,913,251,
421,676,347,780,521,284,041,242,030,730,908,188,796,550,896,247,411,740,522,
848,562,170,111,166,345,920,671,004,748,886,426,110,545,711,270,180,488,202,
218,090,652,126,621,051,846,080,261,712,887,475,607,665,608,218,227,039,181,
869,447,915,140,830,688,659,073,051,371,933,289,062,922,905,963,899,206,701,
393,958,306,715,535,030,270,799,881,197,105,484,541,159,121,261,577,876,345,
306,860,607,589,152,164,788,840,150,438,630,100,321,647,645,361,656,782,074,
451,816,026,573,775,183,841,022,887,614,319,754,208,488,450,822,366,709,537,
312,658,880,354,048,666,310,314,000,771,209,230,753,155,218,965,306,099,802,
047,742,358,834,863,103,755,854,703,649,667,142,942,977,125,301,910,413,162,
854,383,564,995,071,164,756,517,349,293,606,900,013,203,318,687,870,973,289,
096,815,063,815,301,572,469,718,383,631,695,624,074,801,441,771,269,952,962,
675,025,700,727,666,802,591,491,473,553,815,006,224,092,466,351,970,793,724,
190,069,276,868,532,594,784,557,240,273,748,036,509,375,169,571,824,162,179,
949,161,690,006,199,090,698,915,312,428,626,162,221,675,361,138,443,158,039,
048,803,007,876,305,942,400,153,004,515,943,236,098,189,774,306,281,273,586,
070,162,490,024,858,880,769,051,610,765,236,055,166,532,881,520,238,979,725,
530,007,018,193,428,032,201,112,202,653,081,248,899,558,072,213,825,018,329,
382,378,150,794,566,830,829,341,081,464,565,569,548,985,439,839,675,697,133,
380,005,619,373,925,634,569,886,700,362,217,567,606,553,052,923,127,318,371,
176,400,435,786,857,389,171,012,632,685,934,577,472,378,680,953,907,756,263,
720,965,307,067,680,050,790,538,011,574,033,269,263,807,770,869,681,760,926,
412,375,861,749,393,163,106,657,930,263,722,506,554,115,032,888,094,031,933,
864,945,788,262,669,497,768,330,855,049,317,234,034,372,196,813,887,495,800,
769,731,992,021,318,817,709,122,231,458,716,368,852,569,616,455,482,341,171,
833,825,891,993,728,012,381,461,164,789,580,505,426,495,206,430,458,925,753,
679,517,441,137,510,543,960,618,420,650,635,812,221,150,527,376,219,706,643,
523,590,121,870,641,776,528,294,781,508,257,803,545,143,569,104,144,782,238,
280,081,963,465,993,694,693,637,978,639,465,892,237,885,782,132,936,240,841,
982,182,223,608,358,608,891,711,607,600,650,155,157,156,479,351,976,432,716,
502,067,925,673,937,126,345,127,301,032,748,865,453,247,628,593,490,135,475,
741,256,688,388,595,071,603,776,941,837,620,597,032,583,803,598,330,519,764,
619,999,798,941,467,949,652,645,625,733,792,462,908,464,930,533,572,388,975,
620,156,554,811,598,740,100,511,063,318,992,874,806,725,186,357,242,233,599,
531,734,990,589,045,975,230,552,355,057,167,896,024,559,315,071,473,218,245,
319,314,223,077,766,314,677,926,287,624,142,706,534,126,434,917,510,775,443,
137,673,724,518,575,027,153,820,165,586,079,504,434,949,427,813,598,372,997,
489,390,974,203,261,475,686,330,474,991,672,531,671,445,723,544,174,064,157,
602,154,581,153,352,903,395,179,671,021,478,849,522,167,306,112,000,796,171,
995,055,377,161,942,944,362,346,747,106,198,846,957,438,319,456,238,417,954,
661,282,663,567,278,564,540,417,246,155,815,098,716,199,554,083,156,069,645,
589,577,291,024,829,749,838,121,993,467,228,022,883,079,136,077,883,370,557,
800,517,966,228,171,378,269,527,665,695,499,993,719,926,943,445,341,488,869,
035,038,308,397,714,005,089,059,861,963,417,089,414,301,376,504,161,482,371,
302,897,444,599,759,999,143,453,178,933,542,966,855,490,676,194,942,586,044,
730,233,254,266,635,891,145,114,563,357,925,492,963,670,751,910,866,841,711,
961,570,045,667,618,746,980,983,120,800,745,788,910,964,292,636,238,559,233,
145,410,289,245,531,315,845,769,522,822,049,025,771,168,784,763,168,787,546,
328,013,506,642,620,896,732,393,076,011,170,220,067,883,957,104,027,649,171,
026,740,989,971,850,991,387,425,204,131,431,191,274,880,112,236,030,687,528,
791,289,150,328,509,418,300,882,083,716,011,752,577,474,592,217,500,772,742,
235,931,708,152,892,627,651,885,917,525,835,250,076,523,676,342,677,709,327,
354,718,230,968,441,947,151,173,421,239,214,986,105,695,199,317,489,150,297,
098,131,537,268,870,392,078,011,007,714,081,008,828,744,919,728,466,792,874,
644,531,126,896,345,052,861,266,212,631,824,907,042,235,648,216,329,375,918,
806,918,715,461,463,126,032,201,173,322,156,886,851,633,181,715,329,896,007,
425,449,792,817,132,210,257,738,519,289,446,101,764,502,700,381,123,850,370,
985,108,019,949,530,615,630,801,027,365,618,215,539,842,895,417,246,583,316,
539,971,649,761,936,700,289,215,834,585,261,372,978,316,961,595,864,889,239,
781,130,513,301,694,966,322,933,463,156,236,055,242,086,369,394,198,426,855,
313,101,230,571,109,858,880,928,686,441,022,986,804,506,755,153,720,029,678,
926,497,417,951,738,715,059,944,961,386,655,157,322,246,255,902,167,507,058,
306,253,761,283,470,468,607,576,708,242,934,610,686,294,227,838,269,227,102,
291,993,329,994,500,984,251,302,612,416,075,339,997,897,688,203,226,641,386,
682,482,665,687,518,762,624,166,894,340,798,541,059,861,682,972,925,103,095,
994,890,348,783,669,935,102,671,652,266,055,961,610,718,827,246,258,482,934,
528,554,729,407,021,891,072,207,796,305,375,588,806,702,365,648,535,202,327,
299,210,273,316,711,531,736,596,493,902,940,999,331,838,789,183,926,170,829,
882,488,207,630,367,570,061,837,658,700,859,349,666,519,214,193,821,739,782,
658,609,727,814,365,820,046,285,730,881,362,526,712,058,200,857,707,728,167,
290,523,332,829,614,234,148,380,700,145,440,515,523,675,646,787,503,380,860,
443,733,794,668,993,778,830,222,341,523,485,664,283,621,976,303,629,577,568,
155,920,378,183,813,216,002,472,546,929,167,402,193,755,638,530,705,154,245,
855,911,777,584,015,763,997,534,948,552,103,158,539,964,254,508,070,896,722,
386,166,292,793,376,085,088,187,403,906,003,401,852,622,161,267,528,023,383,
697,248,516,436,663,289,068,444,351,281,990,807,184,437,467,494,699,298,117,
108,192,093,497,488,358,544,892,631,107,939,145,927,962,702,276,369,320,883,
807,472,287,578,530,021,056,862,490,486,454,421,674,805,246,527,801,272,995,
541,611,079,844,054,589,166,373,864,807,155,929,695,324,954,615,023,906,701,
656,632,010,571,920,586,721,707,275,343,939,278,026,803,550,515,420,263,418,
280,791,645,922,273,193,116,220,418,391,425,928,330,697,727,597,218,987,571,
171,328,852,709,631,987,298,797,755,406,570,858,935,954,302,383,044,438,672,
981,184,990,930,223,336,520,803,653,375,228,389,106,708,501,638,622,724,226,
528,484,818,373,896,175,210,498,731,592,259,636,602,032,024,254,640,159,028,
162,244,161,350,476,157,861,311,550,122,841,121,712,028,762,424,647,208,828,
485,717,903,618,440,923,111,636,728,468,082,201,680,523,522,854,560,955,175,
027,789,531,050,309,974,977,147,849,567,998,493,179,234,829,627,402,197,175,
988,515,901,909,652,150,960,350,196,189,410,921,416,576,214,784,382,315,796,
678,038,692,620,953,442,759,208,153,637,489,358,567,946,152,967,176,370,878,
322,706,837,029,462,680,440,373,320,663,798,365,696,527,592,627,419,531,457,
456,874,256,280,325,201,996,396,155,774,099,179,577,206,554,302,536,672,491,
924,803,490,848,642,109,917,162,101,706,492,939,641,465,194,811,360,957,640,
705,279,768,195,880,426,611,256,896,092,549,372,069,109,486,227,207,374,707,
960,113,611,386,631,216,887,761,659,744,509,354,676,306,404,088,006,267,397,
901,354,028,316,569,740,007,866,555,831,988,755,299,262,040,421,119,419,675,
741,206,354,254,040,466,262,861,148,346,547,730,569,387,756,512,613,653,768,
022,311,205,123,408,444,885,438,140,639,990,967,804,272,249,285,727,469,102,
801,537,215,495,266,492,335,627,703,168,820,508,107,622,440,594,802,130,673,
758,991,845,626,604,334,760,275,382,619,250,953,327,792,956,003,061,444,633,
162,390,571,837,031,753,896,552,378,472,401,842,230,977,313,943,419,280,065,
953,839,542,132,010,559,759,091,077,173,071,067,907,570,622,062,266,590,176,
267,848,688,594,040,662,895,181,155,687,299,240,597,074,085,898,290,881,107,
826,089,476,063,540,770,790,240,275,184,226,127,751,990,349,067,340,160,629,
737,796,486,899,401,632,497,904,809,102,237,966,126,251,901,049,727,571,106,
297,412,374,342,109,178,745,439,070,026,230,740,984,475,330,914,623,353,773,
700,216,896,199,980,456,014,796,000,755,118,299,946,894,962,314,934,235,433,
380,108,783,108,622,157,906,636,085,542,687,477,452,115,143,473,550,823,585,
310,472,708,007,491,415,019,553,589,844,527,178,201,785,656,486,650,009,087,
249,222,886,226,999,273,654,633,266,931,218,867,389,905,777,235,400,213,988,
346,775,951,562,521,963,696,233,756,469,813,077,523,258,971,747,171,837,904,
586,422,367,607,167,357,430,979,654,952,536,708,163,170,933,847,679,867,410,
464,182,842,647,278,819,034,692,906,838,893,585,896,232,047,762,381,024,302,
977,611,643,741,255,270,637,214,292,288,579,934,982,966,377,967,666,123,170,
968,262,984,132,310,456,617,181,206,076,509,298,182,671,483,072,697,639,906,
180,423,200,703,938,913,481,562,693,569,316,870,759,023,769,892,821,566,278,
837,332,907,633,884,302,390,290,397,780,966,665,789,539,092,426,525,308,004,
086,686,850,094,099,489,196,292,960,722,792,726,024,807,367,845,335,302,373,
175,872,881,847,371,762,687,084,554,621,409,643,726,284,839,168,563,799,539,
606,927,088,453,810,290,813,088,529,268,427,621,146,973,321,357,208,189,641,
926,045,668,606,484,451,088,655,378,471,579,468,532,440,250,929,752,079,897,
815,425,200,586,007,439,378,921,710,511,341,619,173,588,012,720,730,027,835,
422,614,045,558,219,342,817,941,830,465,877,303,043,939,557,845,321,824,642,
228,386,643,888,478,857,150,815,095,621,331,873,746,571,571,640,693,265,702,
630,927,401,955,677,523,966,399,775,671,368,957,749,102,523,814,830,195,342,
630,590,435,561,942,968,608,752,175,368,472,873,823,301,408,984,286,209,337,
778,242,668,055,644,835,104,170,687,997,364,688,253,767,171,054,837,613,883,
050,146,768,563,358,198,356,789,893,984,277,188,159,973,616,695,561,504,797,
894,026,567,991,212,328,553,768,772,543,752,239,190,443,255,494,687,837,110,
834,428,267,864,623,755,277,512,474,433,841,093,446,990,744,496,306,129,252,
551,672,619,472,395,851,933,669,559,143,346,477,604,814,138,741,115,776,033,
802,251,536,079,289,894,708,303,214,664,997,882,497,207,432,384,708,452,348,
022,810,313,328,389,575,558,680,198,260,652,580,058,791,499,835,363,651,686,
392,104,227,480,717,367,621,404,978,869,638,351,011,789,430,363,871,818,847,
818,669,058,931,105,932,257,095,273,517,151,102,066,009,924,508,722,838,475,
460,980,853,593,618,265,974,338,315,471,757,886,634,497,407,500,259,236,871,
424,701,059,144,342,496,205,424,220,271,099,988,560,743,555,485,939,944,959,
398,979,958,830,360,589,216,486,978,821,826,400,031,224,414,422,550,255,749,
833,830,744,810,695,151,128,669,345,261,937,019,032,849,843,618,575,690,654,
534,924,772,638,919,436,851,975,653,440,766,133,788,259,820,461,233,524,536,
718,937,329,535,488,383,668,938,432,888,888,882,832,650,807,969,614,081,392,
920,205,403,110,219,307,022,382,584,873,751,468,834,421,225,747,035,814,119,
644,536,897,503,668,075,316,419,588,309,233,300,027,939,410,265,566,413,382,
657,600,529,541,588,506,077,187,804,006,964,220,415,500,778,144,396,200,890,
576,991,429,302,178,000,942,067,476,506,244,833,826,035,761,938,968,517,417,
382,149,263,284,901,457,315,103,257,269,239,417,030,414,980,211,044,647,195,
678,307,931,929,699,697,630,339,127,361,802,137,525,993,984,933,229,353,687,
235,554,629,141,758,205,598,952,299,729,529,555,999,203,157,212,198,811,356,
298,022,627,091,523,725,294,053,896,292,380,877,201,042,324,220,685,744,813,
345,143,134,267,092,003,709,622,641,044,037,299,412,318,365,680,942,373,788,
677,824,216,094,634,602,603,153,214,865,261,104,327,629,203,201,237,672,956,
297,076,431,638,406,366,285,989,371,537,163,890,034,021,622,353,003,715,027,
778,767,038,122,702,424,615,545,441,308,608,049,949,876,929,245,138,981,868,
360,659,888,506,636,514,087,733,586,858,270,828,265,766,198,428,289,358,507,
312,690,825,539,414,755,990,939,731,324,630,407,408,850,047,050,054,401,724,
021,094,214,073,256,587,740,974,004,567,777,534,769,952,976,029,175,939,968,
143,060,832,478,402,228,409,151,928,470,409,752,257,107,795,494,930,875,088,
906,141,352,260,586,897,707,549,212,165,554,073,648,844,700,384,863,169,077,
609,387,318,287,646,966,778,737,874,993,157,074,274,360,214,907,209,272,724,
117,261,442,478,231,785,346,720,275,350,890,193,127,519,605,762,917,043,816,
624,815,129,871,716,656,937,325,484,337,287,582,669,391,298,265,325,329,432,
887,765,798,337,641,387,605,449,255,405,750,681,231,684,055,091,741,156,515,
754,413,874,025,288,350,386,283,251,687,906,319,023,663,198,600,082,049,252,
484,409,047,271,461,807,521,156,169,142,541,129,329,179,102,511,296,276,990,
689,174,817,088,091,922,335,238,203,660,408,758,346,310,910,563,109,820,861,
127,663,590,817,522,399,696,346,965,844,120,976,962,532,762,047,668,854,322,
611,212,623,567,212,412,631,387,421,701,894,499,540,906,983,602,947,312,383,
861,816,189,711,349,511,102,467,719,352,146,276,705,593,705,181,318,106,190,
525,920,328,439,283,749,009,871,848,695,518,362,588,916,244,630,885,970,978,
027,353,133,769,898,173,173,010,942,881,779,936,689,902,964,988,688,582,262,
545,278,466,375,375,293,043,697,705,385,084,260,749,634,865,266,171,835,701,
492,399,576,554,908,734,574,512,227,667,816,948,596,343,633,342,260,593,072,
792,546,148,819,172,451,556,306,590,995,242,397,664,709,357,786,784,445,295,
686,723,911,186,981,518,570,143,774,930,835,708,042,055,348,296,998,464,735,
585,571,890,975,462,920,903,132,431,538,952,589,110,424,208,615,324,952,255,
798,611,034,921,878,975,867,291,006,078,016,073,378,552,498,556,512,664,406,
264,161,695,521,243,585,418,571,804,509,216,836,194,156,636,310,057,317,568,
434,510,194,497,535,701,619,450,209,100,844,446,661,693,607,163,258,782,039,
706,637,452,077,554,419,320,762,199,129,412,407,776,691,047,210,501,234,589,
998,055,541,176,517,667,552,664,974,168,188,595,128,472,232,002,778,956,717,
201,440,900,336,288,907,726,190,437,942,545,214,968,605,054,320,846,674,300,
300,619,126,514,729,848,533,983,414,514,740,665,061,364,392,246,125,756,243,
532,262,894,322,431,167,317,268,090,913,739,255,902,582,453,585,582,759,355,
700,389,493,152,414,825,524,646,163,444,256,323,708,601,491,943,900,283,530,
979,221,599,884,612,589,466,042,659,529,183,311,662,392,168,202,402,226,373,
184,318,825,975,064,743,643,191,613,923,467,191,805,618,765,714,219,921,413,
879,732,566,311,234,800,644,817,608,667,826,445,159,313,744,407,021,321,427,
962,159,738,674,678,528,137,088,431,181,370,476,930,964,664,649,165,028,901,
679,929,660,172,034,918,914,909,789,290,830,995,240,952,022,377,013,946,991,
224,847,432,196,120,181,449,374,733,314,339,280,557,742,158,752,130,796,547,
650,964,108,217,708,458,273,404,515,347,699,932,603,796,303,790,761,610,870,
520,524,538,250,735,086,835,306,331,455,879,075,978,586,510,056,752,019,572,
222,894,023,898,019,729,080,152,219,318,990,948,654,223,472,296,572,636,972,
763,625,849,564,841,017,556,633,878,438,645,166,317,670,638,351,547,856,676,
592,947,874,460,081,287,737,717,618,034,954,947,523,468,985,148,325,265,224,
492,937,416,285,583,369,239,055,718,819,239,908,701,310,436,468,963,187,690,
760,195,087,755,524,604,500,643,306,720,368,712,695,337,740,485,874,904,903,
505,131,889,790,823,482,060,264,903,371,739,918,384,779,975,134,340,805,866,
511,368,631,730,488,570,760,804,833,617,061,394,319,094,687,991,733,990,262,
050,248,312,489,638,140,450,168,433,283,470,607,374,459,889,951,865,717,457,
647,284,625,506,737,799,592,059,876,751,291,931,393,435,779,384,728,337,353,
013,484,656,126,042,733,867,647,726,685,821,617,451,914,658,870,413,111,040,
466,159,910,656,202,343,505,530,340,289,248,139,009,937,257,653,137,736,556,
947,704,221,733,549,679,518,014,386,531,184,382,934,341,503,482,433,153,229,
030,460,239,084,259,401,752,395,689,852,546,233,656,283,614,486,425,724,517,
246,961,094,937,591,514,494,766,035,278,450,331,352,677,763,129,221,790,565,
474,551,846,681,366,271,557,837,399,695,093,427,294,009,194,684,807,335,232,
969,797,947,318,944,327,712,889,742,042,488,639,306,416,232,649,534,688,768,
855,374,989,441,550,184,521,999,942,445,250,009,121,181,244,514,265,803,953,
137,376,930,387,615,895,250,308,266,034,839,603,884,282,980,537,037,097,313,
872,052,100,357,160,310,144,864,663,807,351,316,332,441,840,358,900,168,750,
240,905,457,756,905,270,229,788,118,724,604,341,517,490,192,866,676,917,384,
991,758,118,121,215,362,469,060,839,414,351,323,780,932,430,661,163,947,409,
791,527,550,212,912,984,920,986,427,104,254,556,392,994,567,795,599,972,708,
677,210,230,780,006,166,292,036,176,439,565,905,446,756,569,585,944,913,543,
998,025,882,961,180,846,437,869,356,627,735,990,523,143,001,223,452,707,841,
432,572,577,294,771,279,994,496,045,005,017,933,721,488,652,916,219,483,631,
362,887,119,460,134,038,716,903,616,170,296,597,413,882,207,782,988,204,648,
579,004,246,626,166,313,360,381,557,807,983,176,477,551,004,531,865,527,599,
613,721,378,514,069,885,571,980,186,760,792,829,413,748,503,895,410,023,018,
589,710,568,249,437,791,417,117,576,801,339,961,829,038,237,092,492,434,468,
594,977,576,697,116,461,277,456,264,320,728,095,263,043,107,450,488,033,469,
318,084,715,203,342,810,461,931,131,961,947,137,398,050,214,821,669,842,484,
887,395,901,457,453,503,893,287,744,791,673,964,256,885,158,711,734,306,912,
440,655,426,601,353,816,570,602,880,398,909,146,842,581,293,095,711,047,348,
415,667,100,850,739,206,710,590,975,939,129,653,236,896,709,595,082,419,964,
687,250,894,558,476,242,824,497,739,599,474,454,413,965,920,980,199,989,281,
793,772,836,205,653,388,726,527,860,534,581,523,025,342,176,600,790,927,135,
412,360,421,904,819,019,882,962,441,119,443,408,237,312,073,416,497,670,339,
756,163,751,873,751,242,759,444,035,816,749,142,316,694,630,909,972,287,626,
298,894,256,822,493,092,245,273,164,948,970,518,964,771,426,062,495,130,573,
048,868,022,090,067,553,516,164,846,681,337,527,340,226,548,149,415,860,122,
802,742,198,156,568,584,388,307,001,300,875,864,810,956,796,767,353,588,892,
386,484,532,563,158,284,556,326,134,214,282,987,103,761,593,889,003,981,276,
256,110,107,821,329,121,932,238,637,640,736,583,410,985,181,446,980,218,303,
431,333,458,785,547,766,168,297,557,713,929,747,283,094,413,009,396,816,281,
023,583,565,203,539,192,802,069,568,864,522,975,290,163,762,700,580,942,617,
848,230,937,672,276,143,297,583,597,021,265,951,766,478,960,504,549,541,098,
753,892,696,598,780,092,818,676,684,793,134,274,111,595,625,482,077,921,922,
006,642,154,820,117,746,354,460,144,313,978,562,164,877,512,283,912,517,388,
935,603,491,961,012,743,996,604,148,710,666,957,637,369,843,968,850,155,352,
345,512,992,867,811,054,303,129,567,555,484,056,627,990,423,240,843,414,157,
288,857,056,522,121,440,740,966,135,381,557,003,741,035,748,970,745,518,624,
178,019,953,666,441,754,373,297,284,861,390,038,285,364,411,764,871,394,605,
602,287,548,720,304,567,745,275,273,473,023,517,737,887,421,201,386,328,475,
059,180,509,114,424,872,346,734,658,992,694,891,764,045,968,911,688,271,346,
553,026,000,640,396,970,919,086,802,396,157,785,178,208,518,173,691,020,483,
718,062,800,585,767,803,768,295,075,841,009,443,037,176,839,675,759,723,080,
787,948,186,821,343,055,902,935,628,649,604,358,526,791,486,463,133,038,234,
626,959,775,600,033,943,691,035,801,491,471,021,712,607,134,392,856,921,156,
613,953,294,959,849,155,210,457,946,590,715,360,084,627,660,473,982,344,192,
644,705,962,321,669,504,955,960,811,853,807,973,868,635,689,324,483,345,702,
213,261,890,479,820,517,170,344,605,674,092,513,314,546,224,251,905,784,136,
988,253,789,202,064,461,253,763,771,466,107,426,749,094,882,052,872,717,908,
239,676,594,633,633,371,710,583,636,593,500,771,273,100,069,114,957,664,826,
770,552,799,270,931,431,227,537,720,685,758,278,907,441,355,513,996,917,015,
678,887,817,268,281,932,285,205,055,164,679,558,752,633,396,449,054,527,097,
722,757,396,864,000,029,652,097,046,112,962,627,237,845,039,971,279,226,510,
452,414,594,593,730,840,157,091,598,978,686,286,229,322,106,190,824,754,512,
319,003,236,195,792,144,549,005,917,083,200,947,863,575,148,112,086,766,634,
248,593,128,915,681,380,482,326,126,996,730,802,838,687,542,121,484,127,205,
953,071,782,385,013,646,402,789,761,925,338,160,171,080,256,147,434,201,922,
335,090,287,632,515,420,240,371,041,301,191,358,005,282,635,343,183,900,036,
888,195,675,480,596,047,072,926,418,042,417,215,526,633,923,255,215,954,647,
887,100,716,997,523,345,443,782,948,941,705,932,423,336,939,837,763,000,760,
386,433,832,261,617,623,197,176,463,946,963,628,184,016,552,609,576,877,443,
687,515,184,874,311,079,412,491,872,606,685,771,349,573,138,097,504,024,951,
281,592,297,194,239,727,983,161,010,715,568,393,152,176,794,619,874,047,872,
993,433,893,816,818,978,739,207,372,272,096,688,126,023,682,684,548,558,818,
262,042,776,364,994,444,755,386,170,489,704,995,228,138,983,063,599,227,774,
946,198,753,660,086,069,309,409,807,647,086,222,200,995,423,162,260,584,198,
016,105,120,310,275,395,928,178,039,779,303,736,338,032,337,329,569,198,261,
422,045,278,419,304,612,047,614,411,254,076,907,296,849,656,069,603,981,041,
151,741,151,456,168,044,813,216,461,723,868,446,140,593,154,103,407,763,414,
042,232,546,164,034,178,428,298,879,230,178,245,503,095,662,409,541,002,436,
250,022,038,950,926,315,882,063,930,018,857,761,165,430,910,841,239,209,377,
578,340,446,369,118,746,750,018,443,301,956,427,111,096,840,049,809,566,035,
106,809,796,990,160,979,730,587,793,101,670,509,658,436,681,397,866,443,635,
476,876,600,457,648,629,272,201,735,337,068,109,040,815,374,899,754,812,075,
819,624,315,936,822,385,256,754,175,629,871,392,126,832,841,756,366,639,134,
790,925,264,432,375,308,785,856,542,886,185,591,976,557,613,717,616,189,613,
884,336,104,784,559,852,056,404,015,137,643,945,231,710,125,541,235,576,748,
579,422,285,294,440,940,807,670,177,734,485,928,030,377,099,578,395,675,210,
934,635,936,598,705,692,650,690,528,401,946,882,037,609,975,782,884,706,529,
355,599,608,604,357,117,900,761,279,954,850,626,844,974,225,594,328,459,313,
244,817,716,167,450,747,038,844,649,907,449,260,829,127,006,248,379,825,230,
879,363,197,441,953,509,957,494,286,038,946,989,191,062,787,104,932,323,402,
554,532,032,285,442,772,076,823,565,797,433,744,709,590,048,561,384,895,717,
056,293,364,807,532,656,759,396,425,221,074,727,958,157,041,400,581,913,650,
232,979,220,494,705,139,056,789,686,389,156,697,370,601,708,275,472,285,037,
312,093,771,010,746,237,402,137,243,094,800,655,631,776,151,670,840,174,940,
171,443,296,113,244,466,875,585,551,276,610,099,403,478,676,001,279,918,393,
157,498,032,438,632,635,717,961,819,282,287,142,736,612,774,585,829,118,564,
203,482,052,391,370,359,002,014,347,805,404,155,698,060,758,446,738,125,424,
120,525,555,992,836,203,650,099,025,900,514,175,074,287,386,143,280,122,050,
989,793,017,277,522,800,702,147,865,904,069,295,661,512,320,013,009,620,790,
327,510,139,448,148,604,307,302,158,241,195,441,428,331,909,205,580,622,070,
211,966,130,308,117,812,439,475,705,571,660,078,864,836,037,523,077,183,733,
808,655,164,982,361,595,032,002,242,326,958,596,003,314,067,926,610,876,211,
750,295,231,586,629,145,525,644,697,461,159,888,229,222,694,827,746,907,788,
781,077,398,922,809,802,805,221,235,976,180,839,788,566,871,294,573,130,360,
546,664,257,298,899,317,430,635,966,080,493,512,223,731,765,759,063,237,534,
721,065,806,693,602,120,779,736,335,795,037,809,156,674,310,106,873,934,772,
566,426,754,775,386,061,341,953,700,619,841,634,978,037,173,330,971,127,939,
263,836,209,290,982,550,829,770,648,755,606,323,125,705,142,873,188,169,295,
049,479,475,471,131,529,461,807,846,955,944,165,317,586,208,953,741,758,912,
500,287,566,620,760,098,049,758,098,173,510,578,101,960,456,876,208,052,029,
213,491,111,549,752,657,126,670,262,278,583,191,367,406,193,856,235,386,672,
143,081,474,535,309,847,217,061,266,729,494,970,215,239,446,800,125,343,967,
372,699,591,257,768,740,119,346,532,030,686,464,385,123,011,289,472,884,467,
857,472,252,249,775,954,311,777,190,005,725,773,947,990,561,559,856,167,878,
055,894,911,840,705,623,259,420,401,334,154,482,889,199,585,062,901,874,739,
264,798,801,274,092,098,771,486,345,760,156,088,047,551,994,735,933,704,839,
214,661,808,387,146,634,902,478,069,707,852,885,652,995,098,575,997,726,948,
474,260,481,595,962,968,097,098,505,188,457,786,700,398,476,601,630,203,550,
833,556,964,080,958,770,015,392,936,774,855,688,369,663,258,231,746,205,331,
958,327,489,286,915,825,511,606,638,562,837,236,617,655,179,941,474,711,696,
613,962,139,784,050,833,701,697,667,195,941,461,279,824,892,600,588,467,058,
381,083,381,861,746,788,669,605,081,111,283,162,682,793,396,026,962,108,895,
084,161,881,132,232,917,059,456,588,435,894,708,084,314,334,595,209,075,866,
849,603,698,846,114,493,812,398,675,032,714,667,951,654,359,564,620,576,002,
067,358,395,856,703,996,507,153,396,842,006,788,953,935,507,903,843,279,370,
464,870,799,027,959,351,028,898,210,863,735,914,522,972,213,307,087,185,069,
756,934,183,452,595,384,504,789,737,684,189,415,018,809,575,721,194,190,229,
246,489,134,328,174,371,188,421,581,149,589,650,372,452,303,002,790,022,674,
372,509,101,314,633,552,955,214,271,352,270,994,697,095,190,288,370,318,605,
656,323,942,900,308,663,371,958,051,742,647,442,802,631,478,176,223,740,055,
355,558,090,327,135,468,217,428,025,852,375,757,789,163,758,892,701,627,530,
190,072,811,524,564,027,260,232,607,513,158,651,269,197,625,845,968,279,615,
014,348,067,881,652,938,912,240,151,384,916,127,731,009,591,241,628,590,871,
011,910,864,718,085,488,768,176,823,466,785,772,888,714,757,515,503,123,031,
576,857,918,393,380,424,627,090,955,305,522,289,272,988,456,758,919,321,405,
514,497,426,492,844,336,793,017,667,465,171,816,121,224,147,825,252,327,515,
602,148,292,604,581,899,173,596,731,562,529,097,885,629,060,313,521,257,278,
111,761,454,204,947,913,928,299,311,435,417,606,003,419,394,229,989,563,998,
096,536,374,248,135,058,731,567,105,299,848,979,515,864,674,381,921,982,362,
015,053,214,824,823,761,986,029,638,601,406,258,670,704,183,964,055,891,154,
299,919,113,448,525,441,819,565,692,410,363,505,367,121,942,881,924,776,096,
934,987,037,802,743,087,135,408,422,568,631,038,521,289,994,378,112,182,152,
348,118,891,778,644,055,449,184,927,352,689,677,406,997,318,867,331,490,243,
896,123,776,644,166,645,297,420,539,146,620,977,142,576,921,252,969,007,970,
040,425,205,989,192,909,867,650,747,358,162,267,410,108,518,473,529,499,129,
208,443,404,639,675,641,316,136,115,788,782,924,228,020,697,881,753,895,574,
169,614,445,659,566,053,990,171,212,526,181,816,646,250,232,388,471,553,140,
695,007,959,769,553,917,249,112,142,914,304,719,419,262,192,159,635,693,631,
836,008,986,029,651,702,047,267,242,525,923,387,671,398,913,456,117,503,763,
986,817,509,140,147,814,685,532,887,819,245,914,379,492,709,895,380,987,779,
344,750,090,754,215,847,425,463,733,323,835,405,200,758,360,137,614,714,897,
402,835,428,067,428,431,744,710,562,448,027,219,280,784,583,764,382,015,591,
498,350,385,148,959,700,424,254,721,040,019,568,718,277,060,989,764,325,559,
900,708,919,838,992,018,209,054,192,550,023,581,941,311,381,742,013,330,439,
806,458,506,393,492,364,915,471,476,134,089,762,572,710,114,337,126,925,116,
391,229,599,653,636,903,634,879,714,240,731,580,649,208,011,906,957,786,569,
837,673,243,236,059,928,330,558,874,255,839,509,844,980,550,259,097,075,780,
102,787,129,676,592,357,995,308,268,525,085,138,251,546,156,003,276,101,538,
337,701,788,605,094,489,864,315,230,445,637,258,423,406,571,942,399,106,960,
107,462,011,363,450,073,384,576,212,987,111,918,977,041,867,556,834,149,821,
406,949,326,835,424,108,700,803,126,234,747,243,182,414,589,235,007,525,847,
508,641,872,607,912,632,613,115,955,735,526,051,791,804,730,656,436,242,944,
728,346,046,524,238,452,268,781,168,327,921,676,127,909,553,206,187,259,521,
846,990,598,399,142,834,707,874,929,620,963,958,557,813,098,628,852,085,946,
872,458,143,150,962,403,632,463,680,663,029,939,273,112,840,758,698,557,017,
648,370,527,479,282,063,609,204,872,838,141,841,277,582,727,516,812,108,973,
275,049,296,312,710,144,981,259,529,182,947,703,771,642,435,345,709,732,435,
066,986,930,090,515,229,687,641,983,248,071,653,663,073,978,215,837,791,827,
359,375,811,463,881,060,522,432,645,321,779,439,192,936,407,583,088,192,553,
044,735,706,402,915,503,752,260,694,579,500,255,262,539,441,106,497,188,590,
896,961,807,635,654,721,013,966,015,018,179,738,995,560,913,517,837,936,187,
783,790,980,316,204,805,177,312,019,594,558,448,956,375,449,378,806,565,704,
268,131,425,684,204,171,518,274,325,963,978,452,560,674,899,220,334,068,163,
381,401,245,588,657,189,454,476,502,997,100,863,078,465,068,126,143,370,563,
024,787,075,639,159,579,518,604,633,835,230,502,754,179,089,420,374,233,086,
588,986,833,022,928,752,427,640,604,159,593,364,211,966,802,479,386,840,432,
247,061,525,657,829,643,159,692,327,571,512,554,825,803,594,026,759,303,814,
233,109,972,329,843,124,061,952,198,284,557,054,056,506,944,841,675,879,437,
347,127,916,272,569,977,828,939,106,511,937,106,130,921,305,340,381,259,098,
439,822,975,791,777,813,442,452,908,051,031,188,532,038,384,641,500,261,617,
824,082,054,994,842,201,410,183,413,465,199,138,525,095,541,565,283,093,235,
788,769,506,672,606,796,920,028,814,022,290,500,467,258,480,565,279,676,836,
500,836,616,226,717,004,020,144,666,192,785,515,517,187,389,548,485,581,977,
158,790,825,064,522,770,890,903,319,199,081,928,190,088,842,594,045,893,767,
334,131,170,875,889,633,357,806,747,784,980,713,392,979,020,321,759,286,736,
177,004,652,743,621,272,164,212,748,998,230,206,906,386,142,082,922,683,533,
674,593,498,245,435,150,120,823,568,211,391,190,155,985,442,192,389,343,422,
295,246,951,578,506,573,388,600,173,999,610,223,455,741,235,742,830,956,832,
634,721,100,766,973,979,353,557,292,099,846,162,182,109,598,857,097,814,130,
643,225,381,778,776,336,655,003,413,127,848,080,832,885,312,215,975,456,282,
141,804,950,447,977,108,215,080,013,598,708,298,393,392,011,281,258,656,659,
315,338,957,610,805,126,848,399,423,822,817,561,818,788,015,657,971,214,343,
933,437,008,872,445,350,146,096,274,108,643,549,704,096,234,851,350,294,002,
574,368,487,198,726,682,138,544,049,648,063,544,623,442,065,309,840,081,995,
159,300,301,732,943,665,657,412,621,951,664,330,246,406,366,547,308,501,344,
569,844,304,399,981,792,118,422,928,865,428,574,712,921,570,064,742,205,403,
706,955,854,548,102,167,640,710,146,604,804,120,829,952,540,453,724,269,132,
802,290,957,005,186,865,134,019,955,012,385,572,988,759,865,301,067,409,435,
968,181,982,897,941,141,495,230,323,596,986,542,239,228,184,344,417,909,845,
003,259,124,261,267,842,599,893,395,608,085,248,033,795,464,725,039,870,950,
419,930,045,472,222,853,031,723,515,285,601,358,017,659,684,724,555,136,652,
382,734,169,446,736,846,504,270,015,053,058,723,825,657,701,544,605,624,440,
143,034,508,318,903,379,273,499,309,861,047,038,679,419,104,689,846,658,801,
728,728,702,864,969,468,288,181,434,287,240,426,085,049,736,658,522,912,553,
807,219,638,069,942,047,971,232,397,745,619,892,504,202,489,954,294,812,746,
554,991,574,167,756,643,870,568,015,278,982,419,141,061,472,528,309,347,989,
812,392,357,474,431,026,763,361,918,341,473,064,664,556,371,783,420,929,235,
326,549,390,513,645,987,438,640,364,137,143,188,085,213,171,682,744,320,478,
414,797,459,609,403,792,020,221,912,491,009,441,159,894,109,516,673,150,991,
210,644,612,542,427,335,132,956,689,114,585,774,369,387,828,135,896,571,945,
027,325,877,210,597,419,644,694,604,991,949,226,927,933,420,284,523,160,734,
408,981,764,693,007,851,847,240,390,404,438,331,903,090,646,990,986,762,697,
623,860,358,580,872,143,236,636,972,801,722,214,452,938,075,805,465,264,661,
878,988,626,666,234,728,325,514,079,658,463,645,917,338,103,962,953,885,035,
200,102,426,681,765,585,158,088,745,083,293,691,961,784,091,020,057,566,230,
192,025,254,696,324,314,725,330,456,584,612,781,150,646,151,313,621,298,309,
663,725,077,981,271,975,607,153,307,104,175,628,938,794,752,026,869,632,415,
805,010,903,741,946,324,428,237,440,959,948,301,371,796,101,060,297,653,387,
128,434,092,743,030,678,395,867,148,501,006,417,578,122,724,766,028,021,821,
729,670,052,117,412,535,644,451,427,989,315,024,245,842,107,785,528,727,685,
129,027,415,950,776,594,574,531,822,731,352,099,724,982,521,342,744,367,835,
441,369,546,932,080,719,286,753,407,362,395,535,409,506,459,838,718,572,274,
334,144,682,004,042,654,885,860,568,606,488,728,888,560,285,497,588,685,608,
902,834,070,406,834,574,711,353,004,403,805,667,654,551,192,126,774,167,773,
889,630,795,569,757,670,649,945,174,002,694,472,075,861,304,883,068,219,014,
640,878,204,036,914,794,857,347,653,010,272,432,649,142,315,980,975,298,185,
091,151,211,561,350,332,853,716,515,462,355,149,416,068,151,553,714,531,733,
421,549,289,505,886,788,761,561,830,703,233,580,573,864,067,071,937,605,781,
044,267,945,897,621,102,845,028,804,531,271,733,488,396,832,702,710,452,288,
937,713,935,419,866,737,601,474,604,563,299,035,615,386,186,430,224,470,615,
696,853,820,961,573,285,475,456,216,940,801,548,563,734,477,020,594,818,994,
427,431,682,269,890,946,273,499,422,594,971,918,641,361,428,743,216,816,399,
637,653,102,840,483,621,275,097,501,243,690,767,316,102,871,901,962,969,183,
464,077,104,875,374,493,604,406,631,455,745,665,111,559,960,457,281,426,512,
990,933,220,206,398,489,096,575,247,741,926,316,358,201,165,706,007,396,593,
264,767,890,121,131,510,348,123,083,776,500,340,107,199,725,356,075,593,509,
134,884,194,496,075,606,037,116,783,366,716,094,220,136,223,916,894,314,550,
364,979,373,923,638,337,667,702,789,344,291,791,983,045,109,805,178,644,705,
059,570,292,754,738,209,565,469,720,409,515,106,413,212,338,742,347,881,615,
444,761,970,143,695,922,944,603,484,505,255,417,910,385,158,716,492,045,568,
383,450,532,067,469,417,320,793,112,672,026,066,208,893,643,005,455,859,220,
302,065,634,043,062,057,761,246,450,474,444,717,856,420,055,309,695,640,573,
031,153,603,326,819,476,266,072,431,074,547,725,978,156,031,396,274,809,565,
435,607,914,315,094,673,941,851,287,887,975,757,041,505,271,600,436,712,163,
927,524,776,225,498,813,196,166,378,371,584,697,412,733,973,929,159,439,898,
490,027,830,803,313,727,907,334,023,241,303,374,502,739,598,933,626,214,674,
800,378,668,122,509,439,828,389,273,944,362,661,230,927,465,594,408,112,994,
565,427,914,053,040,689,830,728,473,508,114,502,390,743,672,000,730,204,609,
396,434,473,196,317,143,231,068,168,122,838,589,545,480,237,182,453,990,056,
764,930,891,596,814,036,253,746,256,975,784,818,240,225,593,136,081,460,833,
339,329,690,670,226,464,076,759,545,995,334,808,710,124,855,085,031,902,189,
567,211,785,823,942,913,129,715,836,959,365,904,938,184,632,054,815,919,195,
031,010,161,557,948,000,978,651,527,431,004,855,303,649,393,821,962,172,253,
669,231,202,289,985,183,128,839,442,907,706,019,372,676,396,690,906,497,533,
493,958,981,208,542,328,243,883,728,024,964,559,795,674,821,194,967,449,114,
804,669,040,550,255,181,940,393,679,144,165,466,575,864,480,514,469,870,430,
851,810,952,363,744,134,478,788,429,775,914,011,087,937,568,567,301,934,365,
400,179,675,188,199,478,360,982,822,037,738,504,347,719,429,326,364,517,151,
481,767,323,766,943,477,533,463,420,087,509,843,181,232,822,251,389,818,417,
014,833,381,168,946,380,959,433,692,126,289,075,380,227,107,664,008,925,787,
907,473,567,934,538,848,310,172,273,008,307,397,761,985,203,625,693,263,227,
822,466,039,314,493,818,483,642,439,398,033,866,972,323,299,476,531,718,588,
090,432,749,470,587,446,995,768,385,862,332,365,645,577,966,367,010,341,500,
249,796,250,729,716,364,200,159,842,330,143,008,122,381,073,447,547,175,020,
025,515,181,057,452,796,250,892,171,212,334,197,995,645,351,859,085,282,035,
449,719,877,073,721,803,071,854,471,096,811,174,835,721,797,087,851,574,642,
118,935,793,915,591,272,991,703,092,249,761,019,195,406,846,365,959,192,242,
300,410,264,671,574,950,038,557,568,443,971,492,887,224,510,515,264,790,406,
698,444,241,148,679,352,683,617,634,452,461,938,620,836,544,659,716,700,619,
483,553,952,778,639,619,103,711,583,331,596,685,222,359,151,027,572,039,310,
907,950,648,085,112,151,772,914,428,211,192,459,724,370,787,089,887,210,624,
026,127,636,763,431,181,964,977,992,333,404,561,199,059,521,499,640,435,303,
426,317,499,405,215,473,180,809,323,481,589,149,516,549,569,260,527,492,126,
201,550,390,177,568,490,429,183,699,616,878,874,213,407,122,880,974,262,642,
808,033,074,310,816,050,836,136,993,258,220,505,680,150,559,057,338,817,119,
221,301,683,062,632,461,539,461,387,505,691,060,389,093,379,056,229,698,619,
218,733,099,155,373,700,737,192,168,289,579,081,819,620,329,776,045,274,803,
917,295,977,725,365,784,117,598,270,955,836,120,925,619,684,355,855,085,057,
351,726,682,792,991,675,547,815,374,605,765,023,170,555,073,206,965,666,754,
305,300,280,366,754,515,913,520,501,005,154,169,343,386,532,426,792,790,629,
879,591,556,056,958,041,966,958,102,321,523,416,585,575,738,290,246,703,199,
178,187,457,614,544,701,127,321,813,974,903,436,303,694,888,226,227,954,175,
855,745,554,130,103,196,280,910,228,091,758,634,017,337,478,916,366,780,028,
836,993,115,466,045,373,861,563,658,214,142,223,785,108,499,923,152,975,949,
958,898,070,200,143,712,502,730,857,320,820,714,618,567,262,499,755,557,347,
653,492,354,010,717,828,478,100,031,426,860,265,433,976,712,902,895,127,152,
385,195,537,372,485,346,998,922,631,406,420,679,163,345,062,857,756,050,456,
812,375,827,652,127,513,167,089,847,389,754,842,493,716,742,976,508,934,330,
261,405,478,845,737,494,936,278,655,060,131,595,815,783,052,586,610,897,591,
007,014,743,656,870,618,657,998,549,169,739,721,185,945,939,995,940,103,523,
656,321,454,445,306,415,899,086,466,933,436,451,262,392,656,046,446,754,025,
924,970,114,385,518,182,620,234,221,920,911,171,970,789,503,554,664,032,300,
944,209,192,509,916,004,704,119,695,579,026,216,913,933,169,769,653,694,565,
079,415,594,344,151,070,719,778,500,153,606,545,688,956,902,957,815,152,582,
901,162,456,660,010,319,294,827,176,979,993,166,107,239,419,256,108,701,427,
027,351,306,543,478,422,641,087,053,638,445,475,990,418,575,702,441,364,605,
324,216,021,539,046,535,823,692,282,185,436,262,588,560,319,733,408,887,030,
792,937,641,258,369,717,336,453,000,028,511,037,854,824,970,291,412,161,640,
152,566,699,479,458,465,580,226,062,956,165,391,962,621,647,678,892,304,691,
042,926,732,200,373,499,435,479,354,267,560,280,802,354,709,802,934,064,441,
310,010,148,996,647,558,973,965,630,918,642,689,903,756,182,612,194,306,174,
330,035,020,629,042,453,012,980,118,284,890,260,118,823,289,414,503,949,561,
192,339,140,558,797,037,014,310,169,347,519,494,045,612,368,055,857,622,693,
233,475,501,853,398,962,084,432,364,651,615,049,587,187,870,210,331,278,924,
015,684,489,491,696,774,769,822,681,027,577,577,233,922,484,272,242,184,526,
971,567,453,111,055,006,390,714,679,055,687,776,750,349,737,062,386,466,935,
267,397,519,548,394,287,979,383,770,231,678,796,244,615,176,971,385,328,700,
397,686,544,414,468,003,408,058,903,895,422,009,360,308,183,682,666,268,943,
993,763,931,862,083,799,807,287,574,241,696,947,566,064,673,737,183,913,987,
107,813,920,130,971,032,578,541,829,385,309,502,520,238,289,580,508,474,781,
559,986,686,804,968,329,648,142,591,437,853,086,300,909,329,979,870,211,321,
968,381,348,847,736,649,646,969,425,545,441,926,706,679,427,671,470,763,208,
478,308,963,254,400,303,030,374,040,124,746,906,915,345,403,159,563,411,798,
258,759,936,073,379,134,902,798,369,219,118,232,329,799,760,673,225,635,246,
924,839,770,005,125,846,343,388,772,798,877,727,990,170,795,915,776,333,759,
212,155,242,647,487,061,929,816,268,838,156,158,302,107,950,384,096,944,713,
126,290,232,382,434,085,670,754,008,081,877,866,223,457,022,031,626,322,807,
935,837,016,512,778,586,392,661,123,163,282,460,209,176,392,721,652,714,522,
495,694,655,165,760,721,373,792,784,334,047,367,341,207,254,225,119,139,955,
342,498,806,869,555,129,427,368,774,592,841,699,161,980,912,398,608,274,234,
689,777,729,851,342,970,138,253,047,691,142,575,300,870,608,692,454,904,267,
633,066,909,412,428,539,323,324,536,623,516,781,944,186,718,836,454,768,443,
204,175,018,827,394,628,405,042,189,326,175,428,819,161,469,224,047,636,820,
122,166,265,195,768,812,660,369,290,959,349,146,457,174,486,556,168,305,531,
388,696,411,105,189,414,836,048,135,988,240,131,818,160,729,629,858,500,090,
913,280,861,022,613,938,485,296,215,873,371,915,491,326,842,305,442,297,324,
632,445,077,974,398,410,976,935,082,421,277,116,213,124,160,694,139,826,987,
695,502,590,227,294,083,079,104,043,157,200,403,158,764,867,287,403,666,505,
442,406,022,229,142,370,850,588,800,736,306,533,113,929,051,954,952,646,235,
726,844,101,937,438,622,678,119,041,133,458,987,671,361,413,235,218,749,872,
675,755,704,127,097,358,802,036,141,091,205,642,516,116,291,964,381,417,044,
600,042,926,982,671,328,084,623,667,908,180,237,713,837,825,172,572,879,456,
448,463,871,698,142,500,090,911,288,119,474,737,990,049,349,586,591,930,253,
610,367,038,182,911,164,778,787,566,982,870,567,987,554,792,369,989,440,866,
144,643,702,988,035,403,953,136,662,427,449,003,466,384,833,862,118,898,599,
131,025,857,987,200,676,974,334,161,305,361,965,469,228,362,845,461,394,931,
476,760,411,194,998,715,175,867,597,886,374,725,135,494,745,251,433,429,837,
458,407,348,880,977,736,129,941,587,668,928,148,581,998,871,989,239,026,098,
548,735,010,238,039,707,795,165,076,449,478,878,115,676,198,197,520,901,553,
130,126,710,530,726,362,986,814,945,558,522,573,406,904,990,066,055,866,473,
110,873,192,339,369,634,494,062,672,214,507,942,349,277,882,550,671,749,421,
153,582,170,590,931,432,117,934,184,132,628,411,473,791,829,788,166,634,742,
758,048,625,127,412,851,944,474,358,250,275,481,372,184,068,844,477,832,962,
130,196,561,649,243,715,923,253,216,646,141,060,618,213,384,098,891,268,421,
785,613,807,380,925,988,073,154,245,207,722,746,517,223,511,256,582,586,956,
829,591,739,292,215,340,212,215,586,792,196,767,261,602,965,417,764,939,487,
426,572,288,602,850,112,548,273,997,375,909,067,875,071,163,303,742,522,124,
017,569,774,566,317,992,813,297,640,932,407,161,531,081,962,226,244,711,906,
289,585,150,442,642,079,356,563,550,334,267,106,203,154,099,267,635,243,630,
284,648,424,299,599,997,553,336,340,911,745,557,187,189,774,083,310,724,121,
158,443,062,562,686,687,576,159,131,991,429,858,291,243,358,422,788,209,693,
228,711,909,704,376,219,207,960,003,844,566,638,636,410,390,528,354,714,050,
247,274,373,449,718,585,752,039,824,340,652,141,432,692,096,573,330,685,603,
485,764,653,891,017,366,138,806,930,696,743,143,569,952,342,722,171,475,472,
864,423,212,679,181,895,037,373,285,110,251,261,303,851,457,522,594,095,751,
809,454,089,684,686,041,017,986,970,273,076,735,070,531,834,952,097,826,721,
998,487,941,418,139,364,739,842,860,968,250,547,879,994,416,439,947,233,485,
816,236,020,071,325,022,459,138,175,874,283,526,091,537,822,034,143,067,681,
524,933,194,192,459,490,648,735,396,449,711,561,654,652,658,467,168,451,825,
365,012,464,619,313,959,898,108,207,533,485,705,376,557,663,611,396,303,406,
968,755,589,039,388,073,839,571,920,621,695,630,360,045,139,979,105,503,070,
585,876,845,205,225,061,996,188,119,670,219,305,090,877,505,489,653,802,114,
309,874,093,946,546,482,861,110,506,602,933,824,387,014,193,079,909,344,834,
471,015,884,327,570,204,200,627,181,368,777,294,821,521,391,391,763,362,003,
305,638,541,900,848,637,729,263,576,958,545,899,566,334,979,400,409,816,238,
028,573,066,531,541,300,375,432,181,791,398,265,278,029,490,872,154,564,317,
317,156,893,514,618,952,342,007,239,523,623,372,530,269,135,963,475,846,199,
487,443,243,435,286,333,287,637,310,658,356,919,020,002,252,372,373,150,448,
916,550,749,911,881,657,113,773,370,436,066,408,870,083,135,448,113,669,166,
460,252,502,756,997,632,541,114,353,747,599,494,304,887,686,240,564,651,567,
750,768,999,494,938,135,415,761,984,073,049,840,041,548,635,577,990,617,209,
825,536,011,247,152,903,407,015,504,091,478,772,061,319,422,083,721,711,146,
499,753,047,825,424,341,444,438,619,358,962,079,877,182,729,568,124,765,484,
307,564,680,850,854,743,025,455,987,901,488,022,680,647,236,970,995,396,646,
706,521,704,494,443,338,235,300,646,421,563,838,339,940,531,492,176,781,939,
215,701,653,620,319,568,637,325,688,286,963,920,953,323,388,737,171,654,574,
717,380,527,032,285,978,351,186,694,403,600,536,068,783,733,452,716,183,301,
897,018,203,885,679,158,239,033,906,093,953,324,159,760,726,449,394,218,979,
916,300,295,650,202,183,224,565,102,202,291,002,020,771,729,056,176,040,569,
433,224,544,441,436,094,911,519,508,617,119,116,122,088,784,107,953,776,094,
799,098,930,827,692,903,058,831,708,294,522,619,357,252,977,550,450,922,237,
823,222,151,135,093,839,651,611,235,883,601,302,539,110,008,295,700,728,380,
168,118,010,404,941,008,936,285,163,218,939,993,727,602,187,468,890,611,056,
486,099,722,776,412,757,099,877,552,857,989,753,977,929,479,474,507,543,795,
714,206,590,371,047,554,520,507,468,142,605,704,617,406,815,443,509,445,747,
058,776,061,779,537,989,845,902,165,875,375,651,948,042,263,047,366,031,988,
532,573,507,984,818,457,374,665,732,724,458,022,437,991,421,788,280,474,506,
760,388,134,786,414,634,168,108,794,838,747,932,954,738,876,268,858,679,056,
406,533,209,445,500,558,062,368,494,297,241,912,505,216,395,506,367,346,263,
306,969,940,214,539,794,274,311,053,730,321,389,287,565,314,568,463,679,660,
240,466,781,728,627,254,790,126,476,042,691,404,364,912,302,623,858,331,216,
010,888,588,847,647,875,211,103,160,181,257,603,470,324,055,366,173,597,879,
436,538,795,564,399,733,527,550,318,024,889,824,869,578,683,553,736,519,783,
297,630,488,491,183,510,112,208,257,225,129,119,305,309,526,575,119,150,369,
173,019,884,760,290,166,971,060,735,032,645,883,212,718,380,530,501,430,854,
639,327,585,741,984,463,863,189,790,000,908,011,069,387,633,991,926,993,345,
174,647,786,829,237,824,059,226,781,915,677,563,410,304,628,606,744,417,420,
488,442,874,137,841,442,864,479,324,783,066,823,544,756,331,383,160,942,069,
481,457,841,500,119,904,718,237,455,985,171,512,206,440,762,553,173,296,794,
025,124,422,119,688,207,245,549,862,791,557,420,722,736,982,127,984,917,061,
174,989,948,645,201,366,426,441,193,820,467,741,481,031,975,662,923,862,519,
519,963,049,190,849,929,085,844,525,409,588,922,412,816,233,094,616,322,729,
961,664,965,828,805,502,722,350,024,361,995,387,658,007,185,535,560,078,363,
897,083,774,884,507,494,552,103,734,259,268,934,807,075,167,838,853,520,147,
214,661,768,629,686,956,145,580,558,706,868,483,228,561,726,796,770,046,139,
848,997,843,955,223,538,463,906,335,932,172,989,975,026,924,905,180,612,629,
979,382,864,644,059,988,043,815,571,265,849,530,938,799,319,562,733,372,305,
267,737,348,045,202,357,375,814,850,627,932,562,112,936,549,974,674,771,728,
724,846,150,671,674,827,462,581,483,008,772,595,772,905,854,322,835,796,842,
981,301,208,214,680,064,477,596,387,286,126,561,939,038,730,561,711,251,444,
981,998,328,810,094,812,379,626,420,415,444,539,374,445,393,499,414,223,347,
704,403,956,023,219,555,656,883,320,516,767,300,631,833,293,495,072,517,754,
557,757,130,495,155,588,686,194,995,061,359,888,411,852,999,196,685,412,275,
161,905,345,496,221,040,683,627,434,848,400,240,509,273,751,332,415,271,090,
271,601,206,660,238,623,651,084,473,879,766,073,675,070,650,157,803,993,848,
714,276,564,925,866,212,118,637,760,349,630,667,634,769,971,481,682,858,624,
211,954,738,897,711,863,847,354,831,327,479,168,118,348,635,027,439,730,692,
373,901,352,390,395,919,036,450,246,163,525,662,566,763,250,730,105,166,736,
530,846,242,194,429,766,868,193,736,155,032,085,562,692,922,426,285,143,112,
198,081,910,169,563,993,008,024,155,667,319,545,757,322,455,458,552,704,292,
960,977,457,239,325,850,495,833,538,813,184,988,507,858,088,457,155,379,481,
482,888,556,829,896,481,824,454,414,336,162,491,959,560,831,693,677,665,607,
815,421,825,930,379,435,322,161,106,734,186,474,135,838,889,985,744,051,662,
063,744,786,930,092,575,716,649,411,061,549,189,516,830,533,340,740,513,512,
889,403,619,091,396,172,696,005,459,499,511,700,722,347,556,849,622,565,906,
014,945,230,632,981,236,216,565,574,450,219,920,865,732,212,483,997,144,943,
695,123,400,390,074,844,176,197,989,946,960,587,995,110,896,212,138,270,449,
693,692,943,504,274,329,237,142,994,570,651,489,400,139,469,978,381,607,939,
883,779,272,550,970,715,276,884,530,883,646,013,038,964,471,332,954,223,169,
845,108,457,826,627,929,751,423,555,305,354,095,984,738,240,573,412,247,472,
875,377,205,364,349,658,311,121,829,796,865,032,218,171,549,465,764,508,838,
240,474,430,690,343,386,742,423,353,460,799,938,324,151,314,270,510,733,158,
959,658,096,921,847,922,600,362,958,643,375,956,706,133,708,307,974,723,133,
458,545,354,308,506,466,230,506,269,782,978,214,674,782,803,836,476,302,853,
014,963,272,531,252,537,758,413,645,067,472,233,869,064,665,860,662,294,057,
896,595,494,330,732,927,730,326,244,632,394,540,559,931,374,192,038,308,729,
487,054,003,387,902,814,151,734,627,887,675,247,665,759,174,812,717,275,294,
793,984,653,762,360,989,122,263,291,633,206,912,541,093,345,167,345,856,445,
589,284,883,317,153,465,251,392,201,033,569,932,979,243,189,349,943,256,198,
350,554,935,062,749,970,761,787,353,503,930,248,689,796,496,299,587,465,072,
161,132,762,520,005,991,840,048,245,794,671,050,077,187,129,961,835,003,749,
548,755,668,507,842,048,912,261,017,184,129,086,805,946,211,269,469,952,252,
742,286,576,672,171,023,558,672,447,047,550,775,044,420,578,138,261,168,453,
119,151,145,691,348,674,523,697,967,378,834,228,902,159,726,224,631,331,004,
669,545,674,452,909,370,684,850,480,332,132,522,408,971,659,815,247,196,279,
364,707,043,580,690,277,674,930,857,936,934,946,731,466,384,695,154,210,489,
961,491,830,593,926,888,774,801,634,330,077,476,731,051,476,043,289,134,743,
393,737,403,063,426,326,090,686,714,351,057,465,923,939,534,074,825,422,699,
857,365,388,375,425,617,846,101,300,762,773,577,798,475,593,567,553,900,897,
442,248,481,543,387,762,093,602,550,908,749,735,053,391,320,416,742,927,087,
782,999,059,775,236,744,026,168,998,798,681,986,103,341,027,916,089,836,495,
044,498,750,293,915,733,724,860,836,159,605,674,578,846,493,251,124,097,618,
282,475,881,750,855,823,489,166,920,253,586,426,977,748,118,020,396,790,237,
612,190,022,650,490,807,621,078,029,327,497,059,339,585,795,770,377,965,463,
724,784,336,123,824,340,434,326,740,379,410,847,051,821,489,789,181,108,617,
543,750,683,033,925,520,448,030,924,538,366,270,113,578,096,796,961,203,071,
371,162,182,364,762,724,556,300,015,383,432,587,958,219,999,747,224,479,469,
877,819,167,529,923,492,574,959,484,202,250,831,340,330,032,461,696,250,680,
938,722,841,294,439,074,873,845,474,270,767,993,352,799,516,163,442,332,147,
224,312,220,286,415,688,176,801,281,876,101,576,217,154,161,303,334,567,059,
233,701,584,924,282,232,409,467,911,566,719,579,759,657,871,598,935,890,424,
912,816,128,865,345,869,961,801,347,418,695,744,628,591,930,385,971,705,147,
000,888,741,248,011,821,344,751,042,504,180,275,059,692,721,937,619,350,080,
189,671,847,054,866,046,233,000,171,970,568,108,170,896,422,782,785,615,590,
728,222,385,393,503,605,661,208,166,130,265,403,213,177,920,952,010,231,325,
013,933,315,698,998,256,446,467,822,009,477,238,688,737,989,191,034,388,563,
712,867,949,591,002,186,823,928,326,620,658,678,756,699,206,083,697,274,943,
514,215,209,258,117,690,710,912,531,069,432,544,778,873,998,433,322,415,461,
384,331,349,135,541,695,338,941,656,721,769,225,914,032,068,801,819,624,484,
156,912,855,698,069,671,878,247,502,308,071,339,125,850,977,652,503,532,633,
886,362,109,402,948,897,308,316,411,173,610,908,644,808,695,035,607,919,783,
564,450,180,035,790,905,535,628,613,635,260,363,992,139,909,118,691,113,534,
620,433,810,972,461,628,820,359,942,575,806,810,972,138,500,681,311,565,054,
989,344,695,495,660,990,066,419,330,938,713,382,669,243,631,743,730,046,604,
581,844,214,770,203,033,488,103,459,903,046,253,019,095,735,509,590,770,341,
493,730,817,975,126,350,189,144,462,264,784,420,750,680,906,102,501,916,633,
538,086,600,194,104,019,142,785,748,915,074,590,514,788,645,543,549,187,598,
802,694,036,216,916,162,685,925,953,827,032,827,996,898,052,826,772,180,300,
490,907,994,408,053,231,129,386,922,266,444,688,111,814,181,455,012,420,350,
668,345,189,900,156,398,351,066,171,259,764,123,765,956,443,835,551,705,417,
040,446,188,335,075,354,196,174,665,608,565,057,481,474,686,829,345,638,208,
169,502,856,230,351,145,875,501,361,882,735,608,697,646,036,524,279,588,854,
991,916,488,991,546,252,053,059,828,063,379,568,701,515,067,228,049,369,465,
611,430,960,783,764,174,105,824,001,204,182,279,656,186,584,821,345,326,267,
209,845,260,544,914,103,992,004,230,785,448,859,146,466,098,125,016,027,385,
130,911,872,540,960,084,837,731,741,217,237,409,065,415,107,928,762,000,703,
081,013,144,360,484,892,695,924,272,786,192,083,328,732,788,188,186,508,326,
513,732,586,529,300,476,049,633,115,908,671,775,772,372,043,289,905,067,944,
690,127,873,500,292,575,359,298,822,155,695,135,464,256,247,377,318,101,526,
368,395,812,179,114,902,618,863,131,202,440,464,896,713,019,609,245,579,889,
319,522,796,507,488,507,837,428,815,502,259,286,601,927,165,644,113,237,936,
972,597,457,627,950,058,985,116,210,536,614,175,946,368,844,159,084,645,164,
206,896,164,674,091,974,582,829,835,160,647,050,774,699,724,731,396,910,093,
491,434,115,118,111,368,053,413,970,320,307,519,963,006,882,320,017,558,502,
744,951,277,430,952,618,542,674,776,694,363,743,591,824,950,571,225,382,529,
890,763,781,001,318,277,898,010,294,302,631,543,962,207,507,933,796,176,638,
358,641,182,980,085,932,906,588,241,352,490,989,090,102,126,037,778,823,314,
129,666,638,055,913,225,504,331,930,660,739,555,896,329,996,249,257,925,765,
782,239,398,041,847,841,977,196,884,463,908,014,083,273,276,903,208,613,304,
314,628,993,282,655,167,579,216,133,836,421,264,870,827,559,350,027,146,829,
885,075,476,507,118,045,649,213,675,336,102,632,415,565,857,660,114,599,265,
086,764,575,961,079,952,051,188,991,074,280,816,906,668,438,710,889,260,951,
644,630,684,469,060,299,156,005,915,586,906,338,229,782,489,973,338,911,152,
005,697,908,371,135,739,402,032,993,146,733,878,555,297,387,982,420,748,267,
150,831,827,953,160,001,846,909,450,828,348,805,851,826,928,495,989,182,639,
533,638,740,736,987,314,362,364,890,662,572,392,680,736,406,946,894,382,718,
805,113,579,554,068,689,114,198,156,950,261,489,937,667,910,913,517,744,218,
980,463,383,610,337,601,992,217,982,175,295,189,677,476,799,713,066,684,708,
367,631,272,404,541,180,917,804,969,675,908,274,470,442,053,259,987,492,031,
135,882,319,264,927,480,548,746,021,269,707,568,293,201,980,016,663,984,121,
774,577,512,091,463,361,407,540,734,915,082,692,135,287,418,559,020,153,771,
838,826,805,880,043,395,463,373,764,503,343,364,370,461,986,857,618,383,888,
736,078,206,721,392,571,921,490,412,511,601,007,540,294,853,266,665,935,698,
324,529,651,802,030,269,965,117,291,252,008,912,879,409,478,997,488,459,821,
753,807,472,251,177,622,412,226,581,854,930,923,517,893,933,935,987,859,847,
193,006,491,065,160,148,548,702,619,872,744,008,320,407,931,636,009,730,328,
006,238,252,947,976,507,411,981,061,939,094,058,358,412,358,390,722,956,659,
842,765,993,946,779,382,777,137,421,354,160,538,390,162,903,783,906,926,447,
540,035,665,956,898,352,292,736,402,693,555,514,612,440,055,612,464,481,446,
619,595,537,197,251,779,653,286,408,513,111,225,408,087,851,552,488,454,333,
014,120,882,894,505,272,075,914,473,615,595,443,048,367,797,848,722,120,672,
149,193,671,042,452,729,808,875,787,850,036,680,726,942,865,143,007,235,129,
347,330,115,010,857,507,393,373,847,185,342,206,138,045,501,535,239,882,677,
091,875,867,197,433,570,103,236,824,385,745,081,088,602,918,838,704,670,613,
957,594,297,940,885,324,784,910,646,328,612,971,643,738,532,298,150,051,063,
141,038,482,954,029,283,886,079,376,685,849,057,533,883,525,422,717,421,080,
091,338,533,403,326,698,006,596,685,991,982,280,073,958,360,087,269,665,790,
934,442,474,739,811,413,987,502,645,467,156,769,725,515,305,219,230,098,605,
499,493,662,278,824,946,427,146,700,161,166,769,136,034,209,008,779,631,950,
268,448,332,548,389,632,300,228,973,582,074,086,781,133,374,613,920,683,428,
869,087,502,565,428,233,475,600,583,378,149,332,906,530,620,197,770,649,595,
644,634,335,953,860,309,341,613,983,913,790,048,712,393,535,470,587,634,280,
664,664,327,205,819,628,112,939,954,891,913,817,059,520,446,728,454,469,929,
522,817,838,381,559,103,730,275,767,498,384,370,620,404,497,333,547,039,314,
163,862,251,813,766,387,121,975,987,429,642,491,611,417,817,667,372,973,384,
484,208,348,543,048,585,108,098,614,029,364,025,800,568,315,939,359,774,260,
810,226,197,394,978,675,449,883,358,281,863,861,815,139,161,195,945,196,151,
210,701,308,487,543,238,351,850,788,220,755,992,501,318,809,320,402,696,195,
355,793,194,089,364,465,607,337,729,296,150,776,533,294,214,788,491,568,680,
066,124,644,560,156,124,638,880,186,898,319,872,522,110,283,094,450,855,693,
326,237,956,967,854,770,704,092,570,547,562,582,973,052,804,974,318,490,752,
816,531,114,007,733,664,514,384,269,360,552,599,423,221,432,309,715,842,911,
777,930,531,804,028,880,891,138,926,270,405,566,834,037,831,921,858,917,879,
997,739,412,528,617,563,190,555,090,058,885,857,565,349,829,302,496,314,951,
619,395,658,146,882,360,304,573,526,499,962,778,290,387,565,289,860,450,769,
738,034,693,116,820,017,779,141,104,340,287,476,753,862,037,473,940,603,752,
062,795,226,666,124,176,132,323,197,258,452,415,465,917,688,443,726,224,559,
895,007,232,954,741,680,158,594,015,147,245,643,139,355,104,336,595,905,393,
055,327,015,254,500,898,112,846,586,537,022,227,425,365,345,441,429,705,578,
693,716,886,858,566,261,594,924,097,527,992,270,219,530,611,737,271,674,627,
428,788,294,172,558,036,049,904,557,984,642,370,434,724,780,971,645,210,402,
434,257,814,373,126,243,527,530,019,562,771,244,955,691,617,950,716,234,524,
654,122,651,960,159,203,035,617,951,519,631,098,215,437,781,782,058,933,050,
882,499,335,992,191,590,103,691,478,927,793,197,593,332,062,965,923,714,042,
407,451,007,013,058,936,153,671,704,813,898,927,562,443,858,803,383,386,958,
100,158,995,243,936,489,466,800,853,376,782,653,222,217,950,283,792,897,853,
637,629,909,721,157,127,712,560,162,614,381,259,562,594,848,241,444,376,118,
172,149,043,888,916,787,818,172,485,283,486,528,712,170,734,948,541,222,228,
408,933,214,387,512,190,668,883,836,319,956,833,511,663,750,782,939,323,557,
832,939,467,445,298,113,940,646,309,260,471,722,001,801,631,236,646,115,906,
461,670,426,177,384,613,726,865,484,730,309,515,094,650,623,805,438,241,563,
640,008,621,619,988,441,961,260,369,208,260,960,552,001,938,271,309,805,510,
193,960,107,372,102,614,122,176,634,080,139,361,759,534,462,312,511,579,180,
548,231,131,291,316,528,381,961,321,044,197,530,392,899,845,213,984,559,703,
395,048,613,931,264,568,568,760,346,569,807,204,396,163,903,769,189,770,316,
035,998,907,437,709,825,767,465,008,481,464,103,411,855,347,628,602,832,401,
410,953,319,566,346,265,603,095,871,178,857,137,172,300,830,288,748,809,119,
671,222,402,507,548,063,305,914,510,608,348,900,945,599,436,796,330,430,675,
377,956,377,875,324,695,280,017,236,744,053,365,534,902,785,686,282,124,205,
196,004,626,353,320,804,631,315,532,294,020,791,116,105,235,408,600,996,189,
559,266,279,651,303,238,762,725,587,590,666,569,779,453,196,310,780,521,285,
621,584,102,037,888,374,105,822,058,543,128,047,747,841,750,306,294,349,095,
571,832,299,915,764,882,118,229,186,948,458,423,083,412,769,832,505,721,908,
328,214,642,469,389,138,025,813,150,512,900,249,036,122,140,730,355,090,572,
188,207,254,067,218,603,416,465,648,529,783,966,288,903,705,172,500,904,550,
706,560,981,079,198,265,325,612,743,462,701,919,620,682,018,366,540,812,489,
968,004,419,558,919,088,039,948,107,199,835,604,400,730,080,545,402,483,339,
319,940,986,769,955,291,304,907,105,910,841,114,634,626,356,825,932,258,232,
123,832,479,778,396,807,749,969,411,437,289,046,641,230,176,064,402,898,268,
081,326,603,958,231,547,114,353,056,044,451,512,860,215,163,963,785,325,672,
106,941,311,566,798,843,614,873,819,139,572,502,631,172,194,444,749,685,626,
698,265,023,560,759,227,622,429,317,806,338,498,294,443,068,819,214,399,267,
877,030,426,148,578,613,490,738,563,442,883,301,387,732,557,572,041,949,469,
215,748,487,050,379,209,643,298,911,453,047,083,849,491,661,778,060,905,611,
126,110,198,602,834,516,473,143,676,750,778,002,278,648,413,398,303,390,709,
931,872,939,557,740,669,919,121,272,840,789,467,408,792,377,248,092,023,942,
014,121,271,861,412,329,079,576,468,745,422,084,572,768,338,440,887,414,520,
756,069,084,227,512,547,932,995,319,489,714,889,355,845,975,420,487,650,880,
888,530,814,882,326,326,325,557,768,225,526,038,502,876,069,716,685,736,492,
947,749,656,864,839,878,487,716,578,990,627,541,551,282,797,055,956,198,586,
114,293,614,695,761,857,036,198,333,018,588,689,455,711,886,171,031,021,006,
937,253,733,204,122,203,316,120,935,066,675,122,309,148,502,513,361,461,052,
861,135,327,436,547,688,693,301,576,906,078,011,005,416,354,063,795,262,357,
335,811,428,363,097,917,602,822,596,619,451,927,573,369,088,746,200,704,113,
264,733,724,967,942,023,714,504,990,482,334,618,293,978,493,268,049,227,600,
596,282,230,464,572,664,806,165,504,124,307,987,623,771,686,596,070,745,419,
878,945,172,601,091,386,085,445,916,820,417,123,915,447,635,827,706,276,122,
269,895,536,244,555,562,374,780,322,121,020,513,744,245,957,803,245,625,916,
052,371,858,938,157,147,528,909,115,170,578,713,388,028,971,875,749,758,968,
930,987,156,191,962,662,693,131,215,918,565,624,667,126,904,698,395,157,721,
757,786,980,380,693,417,171,433,670,120,789,155,678,967,803,222,185,423,882,
303,961,726,488,134,513,547,073,544,481,412,876,830,863,156,521,431,764,623,
911,859,299,717,600,614,091,372,962,775,809,250,453,651,901,027,857,536,131,
733,585,250,228,967,839,470,863,479,413,816,481,549,438,864,206,622,639,008,
091,503,088,743,610,775,206,201,342,164,617,398,029,282,521,562,350,070,239,
433,469,540,891,879,854,140,572,897,605,779,723,454,854,732,426,041,855,843,
681,308,944,972,142,780,440,553,779,363,677,581,159,037,652,557,832,067,306,
229,570,799,811,602,570,466,696,056,810,678,401,086,396,552,800,986,174,244,
877,307,341,716,383,869,501,260,803,165,921,933,292,126,445,933,871,480,429,
607,656,443,981,834,320,164,281,639,193,357,053,952,181,594,726,071,475,080,
420,042,654,033,264,277,357,236,038,794,593,590,160,937,779,556,161,941,418,
926,121,048,904,179,706,662,581,754,553,272,537,099,909,448,867,029,873,058,
193,809,963,547,816,608,613,511,794,223,424,321,092,452,796,108,335,144,001,
952,786,921,434,334,522,097,122,954,671,611,020,434,018,119,331,473,586,086,
800,841,731,703,235,940,229,823,105,369,329,604,505,072,568,755,423,928,935,
348,866,469,912,359,658,090,317,910,256,129,462,924,607,813,124,614,141,345,
305,181,754,157,348,049,614,561,135,238,871,762,923,954,436,312,351,982,868,
501,265,523,894,232,404,970,145,124,630,581,382,231,167,607,168,007,723,742,
357,951,562,293,162,536,125,788,264,544,409,713,074,622,002,089,882,187,094,
638,435,472,773,009,365,825,378,848,406,735,696,691,761,803,634,758,744,718,
315,790,191,265,995,381,659,891,362,762,023,537,759,684,002,757,251,262,908,
861,656,030,963,799,486,791,459,390,424,124,370,833,207,472,909,623,219,854,
636,365,938,599,764,080,546,102,556,914,915,153,828,676,263,925,736,830,501,
807,403,559,981,814,567,675,363,162,514,988,891,504,879,613,320,167,447,682,
716,903,982,689,021,941,484,845,403,847,777,693,695,984,238,650,701,238,889,
460,121,243,318,421,105,715,815,378,844,656,000,340,774,312,951,483,233,482,
510,106,671,064,422,630,757,277,338,046,068,381,371,841,261,808,008,944,932,
052,740,685,982,372,676,379,960,226,263,858,711,072,911,463,311,851,503,712,
774,429,824,491,813,542,167,789,782,417,684,161,327,256,497,825,141,011,421,
057,086,930,859,862,381,211,643,066,089,278,584,123,848,379,285,733,783,015,
607,893,770,957,903,590,258,368,064,668,373,788,892,124,681,200,821,613,023,
247,325,334,575,335,315,645,528,339,427,853,213,291,181,932,884,449,506,578,
563,768,281,069,995,340,456,744,412,476,978,814,048,532,173,294,846,759,356,
452,288,576,882,507,268,078,578,651,704,433,232,300,103,318,475,339,770,077,
053,040,054,761,941,008,931,735,788,868,089,885,834,166,303,581,001,966,697,
625,434,724,642,203,382,724,758,902,951,554,654,744,726,585,748,827,488,562,
901,019,454,837,534,935,283,204,945,016,450,266,268,020,229,490,832,683,163,
588,372,507,694,454,777,986,442,539,558,928,414,354,489,927,379,083,597,984,
347,572,772,384,040,174,330,966,440,258,480,532,592,065,182,273,033,290,248,
869,801,545,575,430,386,811,985,839,344,262,081,399,953,263,356,753,538,808,
280,198,833,788,158,443,007,740,996,911,739,322,876,090,228,197,378,064,597,
929,133,892,962,388,813,051,294,761,985,319,538,724,402,679,953,380,234,660,
156,253,881,114,710,302,174,653,024,714,882,729,870,764,441,994,921,687,689,
579,050,815,391,201,085,601,114,623,376,776,145,309,402,569,594,624,888,420,
210,460,690,012,251,025,480,312,227,528,168,428,056,463,410,485,540,490,164,
135,257,865,078,084,701,384,141,881,699,824,972,159,522,842,365,335,994,736,
128,379,744,915,298,939,190,265,540,370,731,895,296,801,474,880,460,723,396,
569,562,334,508,816,804,482,292,979,698,368,087,177,206,617,013,864,800,072,
197,400,904,739,652,653,879,878,007,328,664,227,783,943,547,954,687,125,947,
795,301,357,185,738,624,746,286,349,205,605,432,197,741,844,677,573,806,055,
520,170,818,715,128,135,009,616,263,959,343,220,668,960,662,545,792,420,608,
611,013,589,211,317,329,272,505,542,828,682,461,663,815,831,460,072,534,636,
386,753,387,497,220,250,139,230,999,170,721,628,395,423,634,403,059,909,691,
732,719,698,426,431,028,333,148,313,825,742,606,360,484,381,246,900,542,259,
512,898,124,927,330,866,454,631,447,208,992,713,680,333,631,395,265,999,260,
257,785,784,384,577,682,057,883,262,020,801,946,508,106,613,436,413,349,378,
415,982,979,205,653,751,377,402,206,508,676,944,694,260,929,107,598,505,745,
133,859,829,216,082,116,101,011,761,987,469,828,959,538,333,979,710,249,764,
680,146,913,695,053,172,144,182,845,031,208,653,285,581,296,805,651,579,197,
270,051,383,005,555,363,193,296,999,977,444,233,248,745,465,465,649,031,629,
112,485,550,002,064,313,100,360,281,153,289,049,145,863,843,379,314,376,300,
169,962,947,322,787,963,216,151,140,480,376,618,011,317,107,088,626,643,361,
191,624,366,837,464,766,045,151,069,352,957,199,557,098,603,254,714,828,792,
953,131,895,803,867,217,913,514,182,215,944,647,788,980,270,701,071,523,033,
912,351,253,515,798,305,196,879,777,691,017,463,167,323,379,814,428,896,110,
139,066,435,097,379,358,164,458,169,776,322,092,724,533,772,345,148,597,046,
698,569,159,739,989,074,558,868,680,086,892,018,652,418,419,093,387,219,316,
990,170,499,196,768,535,090,958,499,747,628,755,654,326,440,706,016,416,986,
649,777,324,503,291,162,366,276,569,160,761,813,586,958,896,782,295,600,922,
578,876,771,462,919,097,012,296,136,376,901,479,494,473,771,143,892,451,334,
725,935,557,605,006,088,330,741,613,304,751,991,088,632,499,794,534,972,488,
836,420,975,269,481,726,496,235,462,756,686,734,105,001,053,904,551,527,306,
961,635,823,639,838,967,741,832,128,203,938,999,612,886,036,282,982,082,000,
912,610,209,377,379,955,162,958,426,072,147,360,972,248,531,664,355,771,588,
110,526,180,301,336,672,855,331,844,426,614,147,908,345,316,245,977,217,145,
883,148,718,652,602,738,425,271,604,255,170,963,266,664,012,971,907,813,954,
405,511,399,715,901,377,485,983,666,919,215,673,749,927,222,164,538,926,644,
192,063,803,926,048,607,587,363,533,311,136,593,515,743,381,597,469,916,326,
699,613,326,282,238,196,834,570,391,896,569,190,094,954,136,091,247,977,523,
912,976,556,156,580,344,792,960,455,799,733,579,071,874,558,580,074,574,102,
604,625,694,568,566,640,575,404,264,990,180,942,803,405,831,123,737,654,922,
001,858,701,573,477,086,969,115,412,768,396,903,233,173,875,890,269,934,583,
137,423,497,016,517,717,487,324,755,182,228,266,527,603,404,772,880,591,388,
628,905,594,820,174,223,211,667,549,978,810,855,637,626,923,331,089,084,015,
172,001,737,597,971,837,937,914,535,045,311,250,810,930,089,600,611,050,507,
790,090,806,250,713,963,085,921,203,550,252,788,776,862,206,661,461,138,340,
680,637,261,691,218,136,006,034,715,540,682,660,137,288,805,323,383,058,619,
437,005,576,675,066,648,275,955,444,661,797,076,647,190,868,539,045,794,121,
480,043,969,280,229,708,874,593,068,983,123,666,970,833,991,910,413,387,954,
650,157,758,879,675,282,787,521,484,404,233,714,121,646,659,046,409,069,420,
823,740,503,453,260,902,403,674,507,428,448,082,128,990,500,973,623,163,268,
978,092,452,550,744,068,427,921,364,550,717,543,202,449,791,368,589,355,520,
656,439,105,579,600,147,029,190,209,401,118,799,854,797,365,975,609,183,187,
136,692,848,608,084,845,760,954,108,448,788,351,448,858,387,426,339,970,059,
625,241,211,269,891,851,210,165,222,009,489,051,771,642,517,876,019,634,978,
184,832,127,079,299,761,308,928,830,149,551,673,296,483,425,044,599,706,515,
194,921,054,870,655,335,364,113,735,813,614,598,374,896,588,759,088,462,477,
720,894,564,009,574,435,634,876,299,041,763,480,288,299,393,176,150,417,007,
418,123,759,386,094,396,581,982,405,062,938,363,972,511,090,075,856,037,343,
204,405,076,264,875,523,796,064,468,282,740,854,656,201,685,563,134,735,735,
665,407,387,773,572,169,505,968,099,179,737,294,329,394,826,030,236,747,413,
894,914,426,159,349,612,968,469,939,772,011,747,581,245,899,393,617,096,438,
252,675,357,689,066,756,252,923,194,882,105,138,737,990,227,824,098,943,401,
387,295,550,088,567,893,247,206,198,576,383,580,618,502,967,927,791,290,609,
846,366,203,466,024,176,977,386,062,135,056,647,194,791,024,218,053,617,856,
259,445,579,961,439,457,470,370,868,389,170,902,882,817,157,705,318,781,848,
920,355,697,059,477,451,090,733,626,219,120,579,924,311,675,953,064,719,585,
677,371,753,541,825,577,647,814,452,412,886,900,383,671,359,714,360,516,413,
803,343,148,561,404,724,311,530,584,541,202,675,549,604,445,310,971,134,508,
766,434,698,572,748,041,645,593,198,867,939,213,589,735,991,190,566,669,659,
917,876,279,025,797,131,447,789,344,078,612,479,991,999,568,930,915,842,708,
148,676,416,211,930,576,293,113,726,877,645,057,913,141,372,156,700,732,129,
799,662,682,477,948,031,582,828,003,162,346,040,090,435,649,181,448,910,642,
931,309,027,816,243,816,854,196,429,874,555,301,266,078,729,851,417,301,330,
733,181,534,945,617,188,950,614,439,529,005,743,315,129,892,350,186,643,355,
590,395,845,878,354,395,783,431,401,260,552,737,792,712,435,460,911,006,925,
689,274,433,908,425,208,532,790,318,209,271,003,910,364,330,267,599,329,750,
355,479,534,799,138,849,261,691,837,688,473,511,510,189,201,202,296,057,357,
515,396,146,010,900,191,604,250,480,945,346,897,595,973,382,990,139,960,303,
647,251,641,934,780,800,672,697,131,132,972,995,122,525,117,644,451,400,602,
846,249,241,901,212,950,898,956,763,348,730,203,391,461,431,392,608,202,442,
237,704,176,253,791,438,626,952,600,300,453,308,308,076,504,871,420,201,382,
420,427,888,316,937,309,082,126,811,637,037,110,444,917,038,500,772,851,854,
922,394,744,273,734,532,505,619,722,461,153,729,343,335,208,670,979,216,177,
279,965,236,561,334,072,516,260,932,513,399,296,952,228,553,633,244,236,780,
645,315,101,311,536,150,196,476,509,788,223,296,279,210,771,339,364,012,064,
124,453,178,193,460,746,341,761,730,985,131,980,545,765,530,522,170,241,612,
161,585,665,762,767,196,897,063,549,216,195,742,224,829,301,950,812,298,394,
866,796,212,855,517,103,242,025,707,204,326,529,140,343,440,625,577,636,766,
604,763,751,065,086,578,216,674,156,618,459,110,788,291,462,913,055,038,509,
692,960,560,787,933,429,277,875,289,881,270,578,945,910,113,082,742,672,570,
093,130,250,789,211,807,556,205,700,756,398,830,816,178,053,770,411,279,744,
487,022,700,925,532,958,917,210,563,255,287,733,613,078,276,388,669,092,973,
648,213,880,901,366,709,833,028,531,357,713,924,084,590,038,016,471,386,531,
881,721,894,488,338,672,372,455,138,532,230,948,398,704,010,799,512,711,586,
809,390,826,854,928,268,263,259,059,725,539,757,534,414,104,249,792,209,926,
530,663,295,921,735,232,051,628,798,756,451,270,214,585,463,722,577,255,675,
237,034,582,653,462,860,613,360,821,949,397,564,408,565,617,826,134,707,052,
062,244,783,656,344,230,453,553,544,660,568,832,265,637,779,429,020,845,612,
529,162,836,300,855,995,897,212,718,052,012,995,023,558,320,833,827,365,206,
509,144,562,601,038,085,006,462,979,494,140,651,502,368,250,615,656,899,044,
322,810,715,099,904,408,203,873,481,647,370,853,167,384,875,358,709,702,932,
499,951,054,848,468,648,009,073,467,768,621,726,435,244,246,741,513,572,538,
152,648,935,046,742,406,770,556,951,587,166,205,220,648,427,235,338,861,234,
340,281,570,577,481,110,692,787,283,498,110,430,612,502,443,304,029,175,726,
436,640,205,144,994,350,195,857,802,094,519,481,339,761,789,576,502,124,671,
122,744,234,638,922,982,767,663,763,416,538,642,399,708,130,033,605,689,444,
420,239,392,414,178,194,316,509,368,354,859,922,122,489,077,151,887,634,819,
306,232,847,786,937,161,018,109,860,737,511,106,332,555,884,134,612,445,202,
807,184,074,749,422,073,619,533,056,132,794,642,686,079,839,097,857,670,138,
842,413,532,698,430,153,499,724,823,407,092,573,899,898,075,126,927,795,491,
357,697,437,546,999,859,615,314,163,504,620,525,702,174,455,173,609,728,005,
806,412,301,381,198,767,314,521,110,480,940,518,612,856,771,263,367,421,650,
316,463,062,234,736,466,709,725,266,915,289,614,026,143,033,095,802,494,107,
804,045,222,613,221,121,986,736,791,223,391,758,382,103,621,179,903,791,438,
978,085,516,549,046,924,923,692,621,321,999,427,009,964,458,055,541,567,508,
118,487,758,093,271,865,953,668,142,516,316,086,528,452,515,441,822,669,776,
144,307,657,835,810,045,279,062,358,232,461,284,575,236,748,645,950,717,971,
531,280,073,364,205,114,996,416,877,378,734,665,586,052,072,149,898,710,775,
482,082,913,880,632,557,508,792,776,801,448,205,045,721,634,084,747,640,530,
896,796,843,929,185,315,931,744,866,674,787,229,871,527,096,990,967,948,620,
326,178,320,690,303,473,578,566,739,440,584,844,884,179,474,489,511,824,837,
318,896,221,309,335,807,599,539,852,908,839,887,297,422,539,203,358,494,683,
818,316,287,702,649,676,134,649,635,936,714,841,696,698,195,016,921,647,250,
675,057,811,122,278,809,011,384,686,839,526,009,898,972,471,544,625,280,952,
354,281,172,461,479,576,171,228,833,729,549,187,502,022,482,754,533,095,205,
411,467,416,789,816,176,575,610,894,983,102,846,392,898,673,636,719,554,098,
502,389,727,637,609,627,732,482,329,131,412,040,597,671,230,955,719,765,816,
730,730,491,364,322,979,779,437,876,969,517,349,722,225,071,185,406,844,779,
555,058,482,041,601,499,272,524,180,498,366,285,770,434,202,929,192,513,839,
432,672,712,537,332,450,727,946,847,781,428,342,491,263,028,746,220,271,004,
705,163,401,776,596,292,219,889,783,870,512,137,876,518,383,070,473,786,861,
734,983,093,651,213,969,040,738,858,654,084,929,905,397,885,721,444,552,271,
908,166,193,831,832,864,415,040,730,093,006,279,342,836,946,718,213,883,974,
701,297,099,847,945,017,653,450,851,890,076,835,079,285,268,496,081,885,233,
837,812,617,609,521,688,494,646,623,474,875,983,257,220,116,615,360,920,641,
887,236,839,279,612,264,188,467,361,539,411,371,246,123,530,347,739,793,303,
354,698,022,561,603,203,985,317,677,883,323,512,273,628,126,817,156,047,305,
792,832,350,820,975,699,404,286,487,881,163,943,187,948,206,533,490,613,196,
251,071,012,812,545,904,492,985,030,423,018,419,649,227,626,553,599,950,861,
246,309,222,372,975,170,538,517,933,923,731,224,205,022,631,562,021,355,953,
561,193,841,001,425,127,428,478,741,128,330,111,144,281,063,742,275,294,413,
939,661,396,903,480,703,568,314,517,790,639,078,978,816,214,815,902,900,721,
594,373,814,001,950,302,938,961,382,244,117,505,984,892,320,367,086,286,738,
214,832,037,142,268,826,534,291,158,849,430,802,725,275,089,387,843,348,422,
689,326,658,862,309,045,307,589,830,217,813,321,400,651,618,402,991,023,007,
703,816,577,909,538,025,761,443,749,090,924,186,504,245,055,126,496,938,781,
799,322,200,534,438,220,006,219,863,402,462,164,011,191,255,074,114,479,905,
257,302,858,144,688,536,433,548,067,405,137,725,536,962,329,420,092,934,419,
797,999,444,727,638,969,632,266,393,736,671,593,527,010,501,630,901,441,772,
058,917,297,415,273,837,421,154,143,598,060,001,279,544,017,877,358,118,538,
423,656,552,331,263,438,285,957,780,220,613,785,917,647,762,492,277,086,612,
705,127,989,317,766,615,392,898,615,775,480,828,248,852,562,349,326,788,885,
600,447,938,787,426,652,785,022,511,526,628,796,131,622,345,301,284,527,418,
001,909,769,794,536,915,014,467,299,710,159,293,226,975,447,920,963,797,869,
684,023,991,017,622,425,758,647,010,445,128,294,136,423,463,163,401,269,343,
993,943,126,572,551,224,539,479,149,604,977,421,765,664,146,427,427,283,392,
389,669,888,283,026,027,800,691,186,057,580,172,561,444,140,666,298,578,239,
237,362,916,443,789,394,242,878,115,423,769,856,897,323,426,352,412,073,158,
288,748,629,860,548,393,367,849,880,055,230,791,272,678,558,771,644,013,743,
497,314,703,561,510,949,232,184,075,938,092,032,110,497,673,842,578,827,306,
012,824,622,472,046,213,521,525,203,202,897,521,250,723,593,241,629,872,094,
547,792,313,154,034,542,573,600,159,400,942,475,735,134,895,741,449,078,976,
029,076,934,026,259,263,032,499,112,414,274,451,044,597,467,839,950,517,715,
856,674,815,749,596,970,144,688,091,420,052,834,042,428,092,102,741,388,907,
583,450,554,497,305,246,397,964,599,805,229,787,789,212,454,374,848,370,416,
009,157,822,462,948,309,003,852,501,538,032,639,727,799,341,986,216,748,911,
552,108,548,963,602,169,494,744,614,182,788,026,560,732,347,455,447,721,689,
400,767,891,858,813,917,304,495,882,768,835,066,644,641,988,956,158,678,593,
509,868,837,140,491,598,931,836,534,486,817,848,588,572,529,657,803,964,188,
791,377,219,487,083,874,319,609,713,521,997,311,021,785,710,426,547,621,443,
366,822,993,511,542,564,074,845,325,153,931,250,561,946,630,556,479,196,678,
052,590,898,435,411,335,886,322,213,931,967,429,063,973,682,230,586,020,190,
515,342,812,039,213,212,553,332,306,207,025,556,080,347,113,497,164,130,513,
665,118,094,961,134,021,897,535,844,450,226,485,652,477,454,066,378,441,512,
555,923,062,463,797,124,148,744,749,665,986,470,537,422,870,095,729,334,285,
488,116,493,472,339,007,687,851,709,904,542,388,310,671,949,279,056,218,050,
640,390,499,499,679,986,491,814,157,452,183,159,125,002,354,497,346,162,076,
772,653,319,374,819,688,607,953,864,566,970,861,949,187,979,752,590,609,239,
790,438,104,833,417,662,765,807,327,382,528,099,923,327,521,248,596,651,104,
235,388,890,027,067,324,961,731,192,709,180,825,901,591,242,531,797,034,522,
005,864,294,502,637,014,174,069,401,009,974,806,888,354,440,876,599,743,109,
066,824,871,131,453,748,613,556,681,782,967,980,654,720,622,782,038,436,582,
910,766,186,932,744,809,992,773,287,180,099,211,129,051,716,678,222,838,120,
908,825,255,731,307,487,380,951,732,719,988,802,579,698,668,454,722,763,930,
422,241,151,307,538,967,322,830,558,964,090,699,911,285,577,722,203,430,015,
074,381,695,996,748,249,368,215,345,422,707,127,563,186,901,211,017,377,822,
881,479,236,056,557,394,076,758,599,134,495,545,853,897,482,475,637,493,635,
783,714,787,485,286,293,800,698,506,977,240,808,553,065,586,486,460,455,673,
045,616,736,973,170,586,593,124,154,421,283,507,649,738,332,554,783,873,846,
322,095,971,223,014,205,813,853,424,081,472,263,909,044,453,681,679,843,543,
610,921,926,296,545,339,267,836,672,987,005,678,581,805,785,511,927,895,611,
688,936,314,573,841,490,643,709,286,826,343,587,901,474,895,178,722,791,599,
062,567,669,036,782,245,883,437,332,191,189,153,131,206,052,938,798,732,516,
165,541,347,724,044,810,529,641,179,734,994,287,491,912,810,379,116,734,860,
543,364,172,060,635,110,169,936,665,702,277,378,758,172,653,396,587,279,343,
320,780,278,110,138,332,111,692,937,304,809,042,452,968,974,235,159,921,356,
393,843,386,285,380,997,211,924,150,083,838,152,864,963,894,012,517,875,075,
318,478,972,841,592,422,830,499,369,542,095,708,002,430,805,345,325,778,977,
296,835,961,833,885,201,923,400,396,149,133,942,409,307,728,503,165,466,081,
522,617,689,885,223,612,180,117,617,615,816,568,642,275,296,951,467,204,669,
806,539,058,788,621,315,809,585,883,527,306,669,220,119,017,789,156,543,136,
128,781,844,185,420,603,542,656,328,905,248,724,523,101,663,800,344,773,952,
744,495,050,480,588,702,284,402,992,614,070,694,209,575,889,411,623,324,022,
326,575,938,926,096,358,155,585,141,238,780,261,322,557,753,432,461,848,620,
642,887,794,627,491,667,461,322,093,929,127,855,265,195,355,050,351,521,760,
328,788,939,750,086,119,111,897,681,173,606,296,623,486,179,559,332,144,536,
417,160,721,000,475,409,420,646,892,499,601,027,552,463,592,367,440,262,027,
510,536,747,473,550,980,066,724,802,775,761,224,247,348,163,860,554,471,698,
445,068,648,917,425,590,715,012,445,620,514,120,821,736,405,134,192,697,392,
357,909,878,698,907,841,611,394,248,697,413,461,317,569,916,075,624,412,822,
162,743,933,489,730,406,710,751,146,340,552,068,528,408,093,264,257,947,489,
386,997,207,148,981,564,800,401,914,783,408,556,324,374,165,712,451,414,387,
584,543,036,206,735,132,204,422,618,638,625,773,183,857,995,650,090,608,950,
588,858,845,592,063,958,437,806,668,692,233,301,697,464,315,771,791,885,858,
308,429,934,473,139,440,400,253,395,294,379,153,812,364,578,366,204,036,514,
449,498,838,626,553,206,341,413,354,948,041,214,302,744,709,211,675,650,114,
715,469,210,940,202,969,616,714,025,503,348,459,643,875,392,145,959,638,882,
148,330,524,345,690,189,411,707,479,994,402,503,350,119,159,597,414,906,809,
066,678,487,978,636,850,991,570,225,599,192,947,986,851,361,664,528,052,718,
991,675,361,139,810,387,202,508,621,321,648,260,799,109,061,726,053,975,753,
192,973,829,726,197,365,264,105,953,604,502,058,939,963,731,480,156,245,010,
887,525,880,242,905,191,985,624,400,845,522,468,936,704,175,370,494,580,054,
725,198,359,728,559,656,609,753,106,898,440,603,723,023,287,449,318,506,809,
927,958,557,180,350,803,264,125,413,500,287,026,026,732,007,701,648,590,362,
212,535,908,319,568,458,136,029,949,332,459,933,754,697,399,037,607,966,528,
669,313,484,659,630,258,875,994,881,565,364,015,021,388,104,552,540,319,349,
070,827,816,923,021,540,414,404,586,932,867,493,871,223,425,677,508,402,375,
289,499,947,747,869,578,239,390,723,288,667,465,272,578,080,685,266,807,163,
366,646,836,952,741,707,812,197,447,909,680,330,275,203,284,896,222,746,048,
239,863,950,050,856,241,150,058,088,584,710,310,151,252,771,374,967,075,051,
648,989,602,957,531,532,043,008,344,614,825,493,261,980,978,789,330,913,925,
876,835,073,249,593,394,506,892,221,760,959,461,907,684,280,411,672,573,506,
245,186,291,669,397,065,146,112,380,535,808,237,930,710,139,907,897,146,071,
602,868,997,723,655,926,045,549,853,465,820,372,923,763,623,865,948,037,657,
711,807,022,756,229,399,818,582,080,190,553,811,775,787,581,892,494,768,745,
052,209,283,135,085,516,306,178,273,028,193,380,421,607,263,777,566,081,784,
143,655,675,697,169,845,008,151,650,764,832,828,512,935,600,006,616,274,401,
576,875,192,588,781,780,694,180,820,666,354,944,464,607,812,933,342,422,883,
697,402,333,942,740,489,270,706,380,552,464,001,374,582,844,214,752,357,849,
816,530,700,123,426,672,357,324,433,658,738,585,971,632,085,787,837,156,900,
830,040,726,139,302,990,728,858,959,748,778,246,540,618,125,231,101,176,930,
103,372,328,926,723,825,273,351,464,740,223,327,656,841,290,731,518,526,356,
155,390,216,603,505,077,565,358,302,214,416,452,616,317,153,310,730,774,772,
087,901,971,588,752,699,725,636,361,322,845,039,033,699,409,372,921,678,958,
006,928,565,180,650,817,437,445,426,311,669,137,066,946,924,037,705,960,282,
992,585,622,894,786,103,156,799,859,727,653,553,918,974,872,060,265,443,747,
553,535,402,721,147,810,259,442,750,141,519,198,172,062,582,466,339,342,679,
193,316,398,487,019,251,472,877,237,115,113,491,753,140,938,833,218,532,188,
696,779,944,135,065,408,459,692,792,712,149,185,355,892,740,754,576,694,912,
508,461,205,528,916,843,788,040,763,238,308,578,998,462,474,084,107,450,437,
081,785,829,806,099,839,405,943,686,420,928,045,656,651,499,541,633,560,140,
404,300,172,252,453,056,429,148,628,883,284,147,086,913,353,686,492,756,123,
664,745,501,986,037,094,003,964,499,777,699,292,653,125,990,588,564,720,966,
211,851,293,000,940,119,151,697,085,721,840,279,642,731,304,144,359,824,082,
499,758,629,507,964,473,187,615,024,752,438,644,583,544,165,837,906,385,351,
575,699,501,647,069,661,964,803,634,199,197,541,106,494,252,039,692,642,551,
533,731,212,092,337,155,693,478,946,325,043,707,060,729,617,286,970,887,738,
859,849,169,301,701,499,848,858,666,481,320,786,326,225,017,923,402,603,195,
950,672,331,830,774,173,283,098,502,712,145,679,072,741,005,312,372,017,470,
264,270,730,165,931,660,513,786,282,000,761,183,417,321,577,190,321,753,629,
194,931,068,647,912,451,443,763,182,337,191,267,314,852,474,769,454,367,210,
198,624,168,246,162,473,839,446,494,264,437,388,764,763,487,449,623,404,533,
438,965,417,553,759,859,259,352,634,729,154,260,884,236,806,469,058,909,431,
731,820,628,388,637,876,580,986,269,684,213,388,060,265,295,186,888,154,140,
048,061,064,761,050,458,053,348,326,427,849,868,284,474,706,291,792,776,156,
148,347,476,222,997,053,528,022,694,703,962,934,934,419,014,062,801,278,990,
521,560,848,767,865,334,452,828,153,256,826,702,510,270,392,479,500,588,220,
201,642,573,332,484,519,932,818,234,305,221,152,797,828,062,390,229,852,549,
908,823,347,663,162,189,818,671,249,890,890,254,123,950,598,478,898,228,599,
808,067,055,859,335,559,800,773,417,474,473,530,037,775,942,477,070,327,170,
610,084,177,547,548,906,682,604,274,130,764,919,554,481,066,344,774,950,187,
744,122,893,189,975,754,421,483,012,086,067,472,239,500,342,848,622,310,976,
920,029,948,451,993,125,913,318,922,651,803,489,279,937,901,042,683,036,428,
577,425,297,882,739,736,400,905,198,690,880,324,763,237,429,606,071,612,806,
300,881,949,520,116,095,066,313,945,513,755,249,934,857,378,499,091,088,238,
041,781,074,356,990,901,061,728,294,527,414,335,849,029,906,866,650,552,559,
766,757,981,702,117,821,645,972,601,396,905,587,159,994,402,525,780,557,858,
346,984,993,816,235,333,883,086,114,011,271,020,123,241,419,832,720,383,899,
933,247,528,170,074,971,447,892,845,782,831,040,662,410,593,609,402,150,756,
094,687,645,955,788,265,016,442,156,922,930,575,973,137,049,036,391,218,654,
758,421,192,457,486,739,352,794,157,904,981,726,593,756,212,745,192,984,001,
329,559,154,829,466,283,219,823,650,983,806,700,745,174,320,654,527,668,376,
579,710,056,805,631,145,296,713,294,285,315,748,407,047,416,602,185,416,589,
520,868,545,165,363,386,734,782,057,968,467,637,997,839,625,012,850,788,863,
017,215,516,008,457,700,116,455,659,555,499,181,899,364,809,930,811,421,896,
553,557,210,973,726,928,057,650,216,648,309,057,584,571,154,155,125,080,905,
194,481,763,621,999,888,632,868,264,780,527,981,107,127,495,554,307,074,846,
239,118,179,893,974,314,242,608,192,831,386,859,553,269,000,747,256,008,474,
088,492,100,613,587,713,687,085,200,509,487,128,904,032,686,818,411,326,824,
144,930,366,171,067,915,601,206,154,601,390,596,676,115,016,306,404,370,266,
735,955,613,788,309,289,310,767,330,223,577,453,675,337,118,743,157,585,883,
365,655,908,902,795,064,084,878,589,351,702,289,251,924,910,964,590,434,618,
887,273,725,302,292,096,193,765,822,057,845,425,074,043,069,868,993,362,996,
413,111,401,070,900,916,405,025,370,286,354,290,633,072,277,290,290,898,330,
102,457,095,712,752,955,838,867,662,312,618,161,714,468,192,955,523,026,877,
461,806,134,328,487,316,226,194,038,367,035,825,467,201,577,904,880,310,172,
426,716,725,031,950,998,791,666,494,140,818,342,556,409,543,696,665,293,712,
370,480,636,238,744,658,930,857,409,036,328,660,103,388,908,330,256,649,001,
419,734,191,807,312,801,690,826,672,570,244,830,009,944,717,160,553,432,978,
027,492,393,582,968,897,857,185,518,615,683,854,457,318,488,509,211,730,586,
181,979,804,831,024,089,749,741,750,957,162,697,510,611,524,669,651,176,157,
554,159,128,347,330,188,570,990,395,365,931,260,988,566,312,937,400,513,325,
493,530,456,955,348,550,338,620,061,520,613,490,515,052,588,471,785,670,351,
696,146,974,751,560,835,375,198,811,819,415,719,337,830,036,457,397,989,381,
217,860,173,271,221,941,047,283,424,703,440,314,656,491,631,838,952,216,364,
729,902,278,385,519,818,014,983,456,295,616,477,713,952,224,604,814,887,758,
287,379,566,000,912,196,867,924,999,293,102,904,507,144,826,935,798,081,553,
601,367,070,797,291,129,878,833,368,601,258,789,514,117,990,521,044,325,592,
279,301,240,492,948,095,167,778,241,082,639,592,138,449,039,099,122,762,500,
670,927,123,618,845,509,208,271,517,505,753,235,769,302,679,377,286,251,454,
088,285,804,061,149,784,206,537,102,634,560,157,440,984,066,699,440,317,340,
479,564,305,899,974,276,672,812,328,521,259,063,360,195,195,251,658,191,610,
798,961,063,612,256,966,436,628,422,843,613,088,462,131,722,231,863,619,053,
467,807,511,052,491,892,556,547,333,063,456,894,790,242,507,546,819,702,189,
914,823,291,227,063,552,255,081,828,613,617,059,261,733,754,836,688,970,419,
971,777,989,443,026,805,187,788,307,848,318,533,041,105,465,193,166,983,841,
395,588,178,376,081,522,369,155,338,490,619,573,570,785,166,855,801,833,902,
646,872,218,390,285,700,843,867,133,824,752,150,812,277,860,679,085,508,439,
662,479,903,225,578,942,689,498,779,085,264,084,572,170,964,192,705,893,247,
821,908,105,914,870,361,676,242,272,005,911,173,501,549,326,126,052,541,169,
206,946,748,362,647,852,239,391,711,201,192,828,094,437,287,517,228,613,753,
412,406,698,421,307,579,557,104,067,456,592,671,036,461,591,193,953,032,205,
437,940,090,735,417,145,669,060,531,217,178,042,903,592,292,868,632,465,275,
552,216,818,371,150,178,827,308,772,206,578,971,705,725,169,493,614,477,896,
146,483,175,327,408,521,902,717,934,914,060,036,994,154,305,267,585,488,660,
616,876,936,353,700,387,093,930,995,074,542,178,509,986,765,083,343,101,099,
380,497,404,084,725,935,052,443,677,066,692,875,066,798,279,530,973,513,690,
408,369,286,867,864,033,244,729,198,569,688,568,564,139,521,492,562,337,901,
123,425,168,281,125,606,469,862,650,483,114,128,639,776,619,577,448,106,382,
488,563,846,339,605,437,164,818,850,326,385,907,814,577,597,792,923,362,326,
071,698,219,255,134,557,078,526,322,197,167,957,505,558,848,309,186,955,417,
399,329,136,418,599,452,827,615,444,156,059,327,550,312,049,993,206,122,419,
050,696,553,265,759,176,045,859,517,449,201,377,808,051,533,626,575,242,983,
614,171,168,563,470,477,892,676,080,250,289,576,793,368,245,113,948,203,066,
575,839,496,671,365,872,586,709,898,995,333,342,285,470,060,918,570,781,624,
539,722,010,019,209,097,136,554,603,762,977,074,829,530,501,513,347,795,741,
582,409,953,230,590,527,183,957,985,006,799,364,717,669,237,247,206,904,759,
902,492,393,881,263,389,336,729,026,596,528,116,717,180,073,838,704,155,354,
778,728,529,915,562,516,099,814,446,066,460,461,812,107,742,486,159,847,562,
326,970,259,822,344,086,441,401,602,237,562,526,701,723,019,567,579,075,809,
259,519,895,606,405,599,859,063,494,775,332,666,074,490,358,883,256,482,888,
217,144,035,089,738,804,649,707,336,614,675,336,035,549,765,199,183,946,528,
755,640,785,304,911,061,448,145,791,241,016,064,282,994,820,294,493,515,084,
730,512,776,459,157,216,469,481,565,268,203,271,054,311,961,406,077,619,172,
677,963,483,203,249,741,038,899,546,172,088,758,577,792,269,790,625,054,057,
009,044,842,001,132,424,703,696,965,995,237,806,499,523,008,892,948,734,629,
887,999,121,181,792,386,102,488,405,036,549,166,766,632,517,663,588,159,923,
487,388,805,853,963,321,061,672,304,349,237,909,349,531,320,867,019,720,300,
248,089,900,493,851,417,976,661,673,344,190,025,819,645,696,010,702,620,384,
598,645,085,195,495,327,436,886,600,535,222,142,015,244,592,803,729,488,294,
065,255,611,436,092,278,333,646,113,606,948,863,287,542,767,709,615,692,775,
303,258,438,354,073,456,098,613,669,511,125,628,838,479,128,588,250,295,905,
333,857,179,458,692,613,142,536,412,295,301,509,850,045,316,368,503,080,801,
282,520,256,639,635,451,708,812,355,209,645,669,931,596,359,142,922,983,079,
466,910,361,565,475,939,690,411,949,189,572,125,776,961,230,974,314,986,908,
727,434,887,105,890,496,792,988,494,954,898,533,380,148,117,665,113,178,206,
685,809,806,977,820,016,931,094,352,886,117,660,527,785,211,079,796,710,164,
225,407,295,456,740,332,146,899,268,368,037,788,700,691,298,508,237,640,465,
774,809,479,107,204,813,781,827,346,773,949,989,251,379,749,852,516,211,157,
672,676,920,544,173,425,612,972,865,423,494,311,418,440,403,892,304,085,042,
451,483,380,442,475,685,229,116,589,050,663,427,749,645,714,780,919,127,279,
418,291,361,658,799,967,340,900,216,266,513,332,096,620,250,809,041,808,880,
034,559,390,936,376,568,955,884,467,929,692,917,290,484,034,552,090,255,692,
326,989,213,105,888,383,888,506,498,657,139,781,792,926,913,924,193,944,080,
291,993,007,917,893,215,602,046,468,800,447,690,924,090,254,610,289,035,142,
178,451,393,452,914,228,706,218,358,254,096,252,520,611,463,136,698,126,976,
489,755,683,370,332,219,973,959,801,986,268,952,695,828,227,494,684,346,818,
806,815,603,258,345,948,930,659,422,770,926,887,753,989,753,319,497,369,395,
640,652,498,351,395,198,265,699,880,375,540,530,745,557,600,599,882,870,853,
473,112,079,137,551,079,696,320,346,160,397,037,424,061,050,279,971,282,476,
908,798,729,746,675,906,475,446,417,930,395,413,833,048,831,822,793,689,456,
615,915,551,953,466,042,538,869,863,145,849,336,631,898,097,557,426,723,370,
261,225,764,512,036,883,125,336,664,879,365,298,468,216,563,698,043,821,109,
917,959,207,552,885,337,033,980,505,506,806,162,428,623,497,784,034,068,245,
763,889,387,982,035,958,470,688,882,683,566,905,093,497,862,574,988,493,595,
359,081,700,213,511,875,241,671,766,755,658,533,868,992,185,272,293,325,178,
628,758,749,614,484,363,424,719,885,728,728,628,489,493,491,642,086,370,774,
675,246,522,813,341,365,459,672,012,554,393,733,504,608,524,367,238,211,895,
435,760,503,018,709,353,985,984,526,707,076,937,901,067,459,552,488,821,645,
972,272,101,669,981,631,188,589,788,106,381,449,865,291,794,239,162,212,277,
422,016,826,497,718,634,153,972,609,221,376,778,452,240,833,382,539,873,324,
342,968,989,588,914,586,995,820,338,848,170,351,794,492,622,083,816,414,427,
585,148,496,841,636,386,654,421,372,147,493,037,454,670,975,436,355,600,015,
914,063,565,698,294,112,191,496,141,554,622,308,456,970,136,097,286,956,017,
575,325,157,788,603,800,587,761,248,939,383,064,477,151,503,865,493,736,963,
382,648,001,082,138,042,202,441,279,212,075,955,363,211,922,477,346,740,804,
320,376,111,954,126,942,538,987,465,156,170,274,609,359,448,236,536,806,887,
225,865,625,607,556,000,580,302,781,377,101,559,051,063,858,474,693,937,712,
304,505,731,067,859,526,704,114,193,374,651,921,508,742,670,213,275,812,884,
586,330,014,677,345,048,526,733,525,587,534,444,555,926,629,637,637,741,758,
027,718,728,625,252,107,514,644,066,737,257,142,045,667,749,208,343,254,626,
854,165,231,687,237,038,171,479,222,894,707,466,726,789,195,215,181,696,795,
223,431,769,811,193,150,118,665,823,677,279,661,840,105,226,752,065,960,278,
274,325,084,237,765,848,797,186,264,144,867,504,144,289,697,238,894,868,310,
410,356,600,277,441,192,841,681,360,179,786,027,140,209,568,684,576,766,721,
121,058,688,023,284,646,182,858,896,951,217,122,321,106,781,784,466,162,305,
658,562,698,710,634,279,091,008,926,204,404,293,798,136,146,076,714,906,065,
883,594,659,259,067,776,259,907,760,389,673,808,772,904,828,720,857,353,694,
090,719,318,966,487,972,408,304,340,846,599,174,496,043,849,750,901,647,793,
086,449,385,113,011,790,477,914,721,690,986,559,856,011,066,266,772,713,419,
465,740,365,324,933,790,381,351,001,993,500,643,827,463,926,173,118,147,457,
335,005,295,010,673,739,528,563,746,879,530,047,030,240,989,093,548,897,082,
061,969,722,545,137,596,348,017,529,604,130,431,007,162,546,748,513,552,812,
908,642,655,879,880,074,794,991,578,271,636,480,100,016,249,527,229,140,115,
278,307,802,451,583,123,403,669,479,617,524,535,906,023,825,837,364,177,102,
848,195,696,963,230,780,090,178,839,837,118,348,248,651,464,269,295,674,478,
210,886,980,451,980,594,835,489,918,135,252,060,949,360,718,751,557,040,098,
304,437,093,027,065,870,108,837,248,048,702,717,781,218,489,343,213,263,125,
634,172,414,290,652,600,533,929,250,324,412,445,356,493,881,602,689,063,260,
291,197,688,149,861,889,995,688,294,108,397,461,822,135,484,308,700,612,433,
999,761,997,839,913,383,701,071,057,332,223,481,877,981,095,850,418,955,536,
137,623,858,888,899,888,569,546,392,239,721,225,283,834,814,857,262,258,021,
970,343,873,318,830,158,622,588,820,645,336,885,504,261,419,583,185,987,088,
342,258,297,173,824,325,789,677,781,403,170,554,161,569,725,836,150,400,460,
176,504,012,948,370,774,735,588,307,704,859,746,937,741,674,227,637,849,084,
364,682,249,432,247,805,692,862,507,207,284,311,575,920,618,358,601,014,039,
123,965,913,697,784,316,525,981,116,837,393,996,331,835,935,241,099,596,073,
546,713,882,317,407,537,950,400,849,873,161,620,934,943,845,248,974,736,677,
243,633,029,260,397,587,215,477,760,634,363,795,817,351,044,152,471,008,249,
202,995,329,636,977,979,606,289,208,447,564,715,209,072,070,159,333,389,815,
207,290,296,152,740,193,852,228,930,813,958,877,392,018,136,599,210,240,067,
780,474,357,910,318,763,250,325,615,906,844,925,276,634,454,726,880,560,005,
062,756,655,550,634,694,986,663,321,596,958,019,736,600,486,772,217,735,232,
646,312,731,084,596,270,469,975,680,560,501,414,748,231,669,345,814,911,406,
402,297,472,749,916,505,018,529,213,449,086,544,658,560,138,355,647,799,588,
228,765,080,404,198,768,673,195,004,476,323,066,884,279,812,431,916,144,098,
652,492,873,350,122,883,243,714,932,714,474,176,535,918,096,100,056,223,515,
936,681,239,234,658,976,857,353,421,655,237,764,223,923,864,195,526,095,301,
699,315,499,483,792,991,530,821,660,746,435,436,491,011,809,522,349,339,021,
319,222,873,050,984,643,663,506,175,929,831,135,602,229,750,092,222,592,929,
383,467,308,684,354,018,903,634,494,578,143,978,776,671,371,586,007,825,207,
622,919,623,756,148,351,140,069,416,021,878,270,304,986,709,146,743,163,563,
270,363,478,478,155,443,139,252,914,806,370,647,771,113,512,184,391,422,543,
191,267,762,017,542,934,027,036,180,880,827,490,916,561,881,635,950,048,385,
834,919,015,962,937,682,336,426,029,220,199,055,587,868,508,496,880,292,412,
595,064,399,620,398,414,844,610,665,865,628,224,339,958,938,463,886,858,525,
067,365,064,149,112,508,511,036,399,307,995,647,026,632,616,461,617,918,085,
662,684,626,973,956,160,368,950,364,062,961,336,365,372,939,563,022,710,896,
906,225,462,803,647,309,001,653,626,747,359,579,184,176,706,759,670,311,188,
594,404,949,765,026,058,661,234,779,294,391,078,084,293,172,900,623,369,205,
193,425,070,325,010,854,966,024,700,051,302,998,107,452,381,111,990,082,503,
398,225,310,308,315,108,134,528,910,070,777,874,329,451,507,526,605,628,011,
090,836,853,756,661,229,644,508,689,575,713,209,726,799,608,724,071,186,987,
073,215,909,391,162,665,072,885,919,213,351,712,353,408,450,323,615,316,325,
162,743,362,483,163,783,652,098,935,207,119,127,628,561,291,186,313,455,076,
760,736,891,602,754,557,179,993,554,046,218,401,932,882,140,568,054,158,433,
314,822,719,737,690,285,752,929,192,211,972,175,567,753,216,166,621,345,078,
962,798,879,904,366,967,655,304,244,346,282,571,684,550,830,567,545,453,638,
795,643,411,669,634,959,905,492,211,112,769,104,157,094,784,916,649,248,764,
543,816,200,534,351,975,813,727,080,798,409,371,613,191,397,098,844,276,331,
585,749,343,420,093,149,787,878,336,435,048,095,018,765,701,090,569,854,160,
672,118,949,363,323,164,271,010,147,282,051,037,007,893,223,580,997,816,313,
265,229,464,923,763,755,511,157,209,611,178,314,368,862,801,073,829,055,665,
419,095,567,133,545,163,308,315,349,595,224,864,843,977,801,952,930,813,747,
618,926,986,847,646,272,842,945,717,908,897,342,509,389,177,681,992,033,338,
499,603,119,409,090,941,398,576,165,773,531,873,141,652,339,351,120,971,832,
635,433,972,133,923,009,424,214,241,443,501,663,041,837,043,633,815,577,293,
718,298,548,639,728,160,421,221,863,930,019,909,832,980,953,517,895,496,806,
878,438,891,408,325,342,199,447,208,367,629,312,086,004,710,518,077,054,907,
557,844,980,364,480,706,792,385,930,462,075,620,188,992,151,943,207,356,675,
936,811,492,477,208,025,778,007,716,291,360,395,494,772,081,490,315,174,083,
721,511,694,777,609,954,502,469,877,751,123,201,500,545,225,685,077,582,184,
132,155,680,975,837,419,106,178,191,905,078,899,443,969,439,583,879,823,029,
207,690,339,337,501,862,726,774,809,892,459,773,294,873,667,059,355,814,423,
342,759,813,763,784,459,239,462,505,844,916,480,203,084,856,998,702,743,825,
878,576,668,880,157,687,228,618,700,328,513,992,509,703,076,052,639,915,372,
384,198,983,084,638,315,841,202,731,736,940,469,833,904,598,107,840,856,434,
353,467,410,457,391,269,788,117,517,056,836,197,381,921,331,365,505,063,828,
432,427,745,604,249,413,027,189,905,358,823,426,215,410,463,506,491,250,531,
046,469,252,967,369,151,477,620,137,546,993,362,729,237,047,059,536,403,165,
841,035,922,122,160,382,219,879,013,372,211,315,487,964,909,872,688,438,951,
322,849,977,603,381,613,573,526,078,824,443,774,520,902,734,229,755,113,680,
912,306,166,139,960,822,555,629,907,175,118,320,734,478,497,763,926,013,418,
395,228,709,843,151,737,282,031,970,490,011,711,901,778,412,737,049,519,422,
781,172,191,860,131,107,966,818,680,854,411,161,749,841,524,584,431,105,884,
540,694,825,553,647,832,097,317,899,803,849,977,023,035,738,068,048,069,390,
488,223,181,424,730,379,014,139,458,719,239,512,916,528,538,078,750,991,875,
335,109,183,548,954,051,022,120,955,809,786,220,024,304,194,361,921,471,158,
231,976,050,980,544,335,095,879,841,684,626,504,004,356,000,068,214,083,549,
713,277,781,964,119,635,251,210,133,655,031,174,268,083,435,640,109,025,965,
731,824,074,312,965,321,881,584,276,033,049,012,837,707,540,033,394,195,700,
058,730,656,245,025,438,682,265,523,100,826,273,514,326,852,630,679,336,575,
102,395,433,680,603,614,628,866,191,025,947,866,525,315,128,260,767,089,604,
441,034,733,156,881,277,103,882,702,058,979,686,270,556,776,207,922,439,980,
456,254,788,011,860,802,002,880,213,424,126,971,214,071,425,113,955,763,602,
989,448,779,888,403,699,447,888,903,061,297,422,152,413,675,428,227,029,946,
851,514,751,126,669,322,430,643,653,146,111,516,010,497,030,664,024,457,509,
012,719,174,712,231,643,156,855,598,486,002,279,327,748,646,450,412,264,491,
859,456,062,166,507,651,870,304,427,883,686,409,488,054,669,296,676,553,217,
969,712,793,328,745,649,854,611,807,172,884,114,155,636,638,601,623,354,042,
938,131,983,840,323,054,713,610,282,387,997,285,753,263,107,148,551,820,645,
261,480,918,271,029,368,078,855,463,148,872,987,353,571,410,937,706,284,073,
670,598,667,869,465,026,219,184,399,444,679,985,327,228,350,882,442,345,992,
598,087,868,399,385,487,793,386,202,351,934,705,333,067,276,080,414,365,111,
449,026,460,734,070,204,773,610,976,236,427,498,382,416,679,778,445,619,925,
854,698,805,452,749,776,207,815,065,345,120,758,179,146,266,797,271,854,406,
405,783,838,569,805,745,091,983,043,407,417,735,131,698,084,862,185,730,920,
150,786,629,131,151,348,258,637,385,939,630,443,600,023,649,122,132,898,357,
881,099,137,060,708,488,217,246,368,027,524,214,962,549,999,273,444,629,589,
781,778,732,287,961,509,430,877,735,285,600,787,082,141,650,364,762,864,419,
933,321,105,744,746,255,457,783,073,043,481,290,221,771,384,025,832,873,971,
357,059,585,213,496,288,431,617,911,065,115,721,715,430,918,304,602,179,439,
340,721,043,777,338,315,040,510,537,018,110,193,455,036,236,492,913,104,398,
367,307,467,095,542,001,658,644,827,793,120,881,312,174,178,943,118,799,690,
949,206,599,903,566,243,525,370,167,021,766,807,476,916,942,617,089,494,775,
805,302,792,968,773,647,874,178,382,466,848,255,770,992,570,070,404,122,889,
677,201,774,999,155,669,318,239,486,550,461,899,659,758,471,746,725,628,139,
854,852,093,115,707,795,380,186,267,542,783,835,559,996,334,746,296,294,533,
318,709,288,784,424,574,085,843,479,114,019,053,643,320,986,247,856,931,513,
517,445,161,086,105,546,685,341,617,426,591,843,457,261,830,413,779,040,262,
924,633,115,114,312,496,311,574,156,829,484,868,256,966,911,759,780,481,180,
317,245,546,878,275,313,290,038,811,829,455,903,603,902,399,407,639,373,075,
631,332,958,739,097,892,165,040,240,591,582,876,946,584,313,204,418,099,543,
582,409,993,004,181,112,260,086,532,780,702,412,887,534,745,941,454,444,850,
079,838,113,176,128,236,743,032,049,232,705,016,650,944,449,211,159,720,466,
461,621,450,448,529,575,168,716,342,446,803,330,196,026,753,887,848,791,393,
394,891,199,482,520,443,345,139,122,364,077,051,706,993,669,096,639,717,325,
937,239,389,168,521,450,064,406,503,936,786,293,450,527,133,363,994,729,381,
784,351,233,474,313,489,872,350,456,050,031,294,419,064,438,237,719,869,320,
089,952,517,970,741,435,086,648,857,815,969,246,414,941,784,400,864,025,550,
888,009,442,423,029,235,235,015,401,360,397,584,417,703,092,700,380,360,636,
680,421,691,538,847,043,202,475,224,638,623,520,351,853,657,252,114,212,751,
486,317,106,301,782,594,704,042,624,407,904,506,504,916,633,899,247,480,859,
905,232,260,230,521,742,812,339,319,471,916,775,943,144,034,532,937,575,569,
538,804,007,548,358,994,344,487,991,829,801,045,435,699,245,518,344,520,442,
780,050,599,291,772,652,972,115,451,914,381,112,984,327,513,060,572,647,298,
293,672,968,756,652,869,402,342,349,870,229,569,723,128,250,691,733,160,176,
314,388,427,886,447,733,246,244,872,969,947,035,097,936,383,228,279,024,528,
336,908,525,987,126,796,613,393,335,061,598,637,255,526,440,798,307,671,457,
510,906,273,111,657,145,888,888,659,513,254,654,975,717,406,994,503,430,597,
034,605,187,571,554,288,423,832,434,111,794,989,088,442,125,945,998,007,142,
361,844,552,510,134,640,721,127,484,374,019,072,453,064,698,490,823,958,821,
411,099,769,690,863,221,044,401,367,111,026,916,475,190,504,248,387,642,573,
034,755,696,651,776,892,143,591,118,591,945,417,425,560,637,905,747,281,438,
190,916,328,515,332,901,100,024,571,253,746,047,238,540,558,623,393,991,003,
749,950,919,801,806,145,331,477,235,012,899,939,977,835,630,760,576,935,560,
519,849,251,893,565,034,403,049,177,628,814,020,528,092,186,346,530,972,051,
069,421,645,459,954,064,231,011,221,095,264,861,448,885,017,240,797,406,702,
470,569,715,896,272,506,365,783,353,300,093,285,819,517,237,031,890,151,873,
861,568,758,703,960,314,634,273,318,763,576,434,126,275,213,082,950,985,013,
410,466,631,893,279,498,109,170,217,431,571,819,899,867,643,148,449,291,901,
746,608,676,674,847,442,346,588,985,551,223,405,938,662,140,443,140,668,194,
598,242,013,174,693,147,653,116,102,509,246,316,751,902,799,206,257,554,712,
401,939,029,755,147,453,794,325,853,087,451,457,194,561,334,674,833,699,047,
905,609,371,737,508,598,719,713,074,937,737,728,518,596,236,000,571,352,850,
412,127,422,695,290,691,162,991,780,387,569,819,962,775,764,577,810,762,575,
864,330,988,589,079,616,505,551,844,204,409,642,623,449,207,119,804,049,885,
121,324,563,985,190,014,311,948,832,835,597,845,719,174,034,565,707,141,006,
432,548,259,356,272,774,962,282,662,955,656,612,064,074,749,224,673,829,346,
226,490,939,779,710,623,802,353,966,020,270,176,726,985,326,046,667,711,431,
225,101,886,509,353,545,642,818,142,350,868,969,511,974,131,159,698,182,539,
859,857,487,920,755,201,791,638,137,887,289,476,228,254,440,114,959,717,270,
208,046,388,083,180,440,201,588,667,178,538,039,599,122,551,946,949,395,091,
869,829,523,810,638,400,454,735,295,471,637,920,269,887,041,626,288,722,505,
294,031,606,580,706,531,664,054,358,913,731,608,977,598,285,880,753,867,095,
281,480,362,288,689,444,095,156,456,765,829,539,390,999,118,513,770,611,300,
101,427,880,614,577,182,534,711,253,860,571,765,170,117,120,694,164,885,647,
161,456,396,067,489,542,573,913,665,480,874,564,632,282,178,186,325,512,544,
827,259,744,936,608,512,112,470,807,653,773,174,791,362,151,956,500,023,480,
888,095,659,443,778,424,286,037,484,895,535,223,915,450,986,704,270,446,861,
623,248,337,547,456,713,340,726,131,535,274,790,393,232,744,802,159,212,387,
509,603,478,821,163,347,952,767,107,875,367,950,078,507,758,340,083,237,669,
401,928,345,977,241,236,225,619,126,054,882,260,719,130,176,080,850,385,585,
696,290,219,514,665,970,422,543,476,684,689,492,962,118,453,724,713,881,162,
263,278,490,556,839,799,219,750,006,706,230,413,074,064,567,540,834,073,556,
717,650,395,642,962,197,309,615,244,320,379,148,655,077,255,200,299,159,134,
427,896,476,089,066,268,895,392,970,294,119,250,047,221,081,726,367,650,696,
475,604,606,479,865,565,551,616,948,956,096,227,253,618,768,886,043,227,953,
816,977,746,583,073,634,620,221,990,574,883,271,347,913,584,108,731,478,680,
282,710,017,696,136,433,744,803,171,012,990,240,477,070,749,742,081,056,970,
163,271,561,274,244,676,606,689,262,441,658,948,329,475,313,168,802,470,570,
486,908,595,341,363,692,023,459,173,016,639,970,125,782,136,618,275,902,882,
367,553,262,862,570,519,581,918,208,448,114,774,369,089,187,215,683,916,378,
262,748,991,047,972,370,377,135,697,867,774,734,463,568,191,037,947,342,905,
954,720,265,137,408,629,492,742,208,028,938,086,777,234,645,167,370,423,948,
838,219,005,701,535,338,105,695,252,317,260,137,258,396,200,856,479,843,673,
929,392,664,048,428,806,054,525,786,606,637,823,250,883,845,730,586,031,827,
851,328,259,524,839,123,760,515,449,854,014,691,904,756,448,076,784,061,861,
815,795,497,651,310,903,331,046,882,867,684,348,694,401,163,547,418,579,568,
016,929,138,998,013,711,542,952,669,919,938,036,596,443,773,452,572,204,400,
956,489,298,905,001,698,687,161,112,315,769,617,154,002,673,043,804,412,546,
693,971,071,601,309,798,128,025,724,437,944,587,332,117,739,365,811,839,456,
786,149,671,579,364,648,920,841,542,494,249,714,466,846,071,831,708,575,647,
851,607,899,959,038,572,573,270,581,124,110,497,093,351,722,766,423,816,476,
755,913,860,125,198,206,233,713,053,421,209,330,338,901,173,248,488,202,617,
485,687,977,246,413,129,877,564,930,543,230,058,253,129,175,822,982,759,102,
832,784,755,272,381,708,953,023,334,218,194,105,711,193,251,599,691,466,559,
281,446,389,249,361,381,411,532,563,493,256,962,771,919,477,599,772,181,626,
337,594,899,880,402,158,309,178,496,394,328,197,881,637,556,189,757,099,970,
802,207,368,903,713,033,147,102,597,057,909,415,779,621,342,791,926,223,229,
850,801,317,852,949,893,138,253,635,174,763,295,579,871,797,370,671,435,404,
302,087,494,370,251,457,411,040,947,874,487,064,604,364,038,458,949,030,824,
997,327,123,169,557,917,308,319,878,048,668,260,243,940,565,920,295,113,526,
007,286,277,213,144,605,460,929,082,165,276,881,023,293,335,535,314,709,273,
881,410,763,546,426,273,311,251,492,024,790,302,847,935,937,559,887,143,978,
737,657,629,476,137,645,676,885,470,781,725,421,902,065,860,994,317,386,172,
460,708,642,255,188,883,256,181,233,363,365,646,324,852,460,828,286,919,229,
321,317,933,359,435,599,138,521,398,969,824,187,612,034,799,046,014,137,200,
583,318,922,233,613,898,733,764,956,013,461,484,256,172,196,041,719,096,640,
417,831,954,138,631,957,624,127,615,634,275,179,373,775,337,053,313,906,449,
870,855,951,166,570,746,160,421,038,616,574,760,444,018,062,162,075,204,465,
643,206,892,700,330,767,931,223,630,913,825,801,869,093,277,328,332,435,493,
215,145,680,773,702,305,878,562,290,154,082,855,620,260,697,837,524,508,031,
899,212,057,498,386,572,292,773,203,067,522,229,487,175,663,919,615,200,036,
624,430,952,088,157,856,445,594,628,800,962,941,781,283,173,849,759,011,150,
267,860,969,731,249,082,389,089,032,754,125,549,481,574,290,581,449,561,697,
290,973,716,584,861,590,860,139,128,863,901,417,227,442,061,196,177,963,947,
411,429,369,660,438,295,752,846,232,335,760,995,408,352,455,950,959,026,680,
849,927,348,826,589,187,177,797,879,180,811,135,608,421,900,811,279,171,118,
402,402,600,971,094,752,509,684,280,181,725,697,804,796,796,654,649,774,975,
479,517,819,066,424,938,417,976,033,977,635,555,777,508,885,018,132,547,095,
344,313,529,928,996,580,716,414,909,333,211,017,826,038,296,483,278,762,314,
417,533,873,554,077,589,502,901,077,817,725,713,866,024,214,611,408,838,094,
552,055,840,775,024,701,982,360,202,523,041,734,283,917,630,872,630,340,088,
477,825,286,624,470,013,040,165,203,020,763,355,706,589,064,782,651,028,957,
878,416,258,546,479,430,177,275,497,080,530,935,894,243,429,215,870,522,871,
670,462,570,710,656,304,974,284,737,944,374,440,872,243,225,651,998,983,943,
979,278,251,651,473,616,362,564,549,423,195,176,006,763,662,919,988,219,248,
715,746,289,905,147,825,142,007,837,874,461,300,487,768,157,318,545,669,295,
136,998,337,281,207,502,416,286,718,377,341,156,306,195,992,615,051,382,108,
752,730,438,094,399,365,064,486,257,717,412,229,889,076,116,326,588,696,869,
936,738,440,330,703,856,948,707,780,099,775,580,350,164,043,354,127,671,423,
621,665,371,702,483,770,864,093,462,675,832,148,466,462,116,927,766,482,429,
050,179,619,239,071,206,954,711,935,002,447,453,152,368,212,193,370,406,336,
828,278,578,015,930,999,449,246,281,388,188,296,019,879,759,794,472,263,982,
952,387,351,873,525,852,899,686,276,299,495,826,298,480,409,566,664,543,690,
607,440,266,411,179,104,039,261,304,205,355,826,397,663,841,978,667,777,186,
708,410,445,115,490,154,434,578,589,309,728,929,433,169,183,748,360,498,444,
514,803,573,018,097,713,367,580,697,178,178,043,617,308,790,885,832,445,783,
907,051,011,372,825,166,710,621,645,019,604,947,929,533,155,930,992,561,732,
548,284,075,145,833,177,746,474,073,262,989,135,920,743,316,826,375,634,337,
682,633,398,260,155,612,879,892,660,057,124,410,175,097,156,246,232,333,444,
935,271,343,346,271,196,577,524,028,548,755,062,311,041,321,021,814,252,529,
657,262,356,794,702,196,901,394,437,806,580,986,918,618,543,652,875,514,535,
016,311,315,985,008,530,300,222,154,928,222,928,081,160,594,414,990,920,731,
381,745,605,209,245,159,837,193,553,154,082,795,756,071,351,693,935,650,282,
769,923,079,031,331,051,555,789,298,122,228,954,454,800,270,041,209,239,019,
773,693,772,523,198,387,394,059,620,380,392,053,084,929,776,445,492,006,974,
168,888,080,995,721,196,695,384,622,792,971,505,590,322,097,267,441,256,280,
147,685,588,213,269,871,046,801,042,358,205,720,735,503,888,787,219,710,475,
025,086,195,717,152,024,214,935,356,842,983,501,737,229,953,080,042,667,409,
942,758,270,288,961,918,060,319,041,446,506,416,311,196,229,604,463,073,415,
261,424,249,667,127,161,740,712,441,905,002,295,676,343,450,690,958,159,516,
148,735,605,924,705,684,967,734,851,854,254,126,251,046,374,567,767,130,641,
458,982,331,813,834,320,317,179,037,179,642,275,633,245,461,591,840,164,799,
622,853,683,839,830,943,936,959,276,368,606,776,434,906,046,930,119,182,045,
405,079,183,138,396,241,104,408,560,172,676,060,545,941,781,393,394,239,912,
720,165,116,576,499,435,621,418,900,105,864,444,434,228,129,304,030,300,903,
040,519,242,406,566,298,369,495,688,786,127,369,817,171,691,276,766,196,334,
916,706,614,006,608,014,180,618,006,281,266,722,266,899,066,350,267,349,338,
039,668,728,110,628,068,853,211,685,878,732,773,937,675,296,296,760,591,671,
963,514,345,577,810,131,163,704,267,149,843,143,900,087,703,689,066,247,971,
225,450,778,427,525,436,256,966,403,236,954,712,290,644,791,400,470,645,593,
884,321,803,291,253,254,294,266,497,356,166,112,086,520,445,288,297,077,486,
239,843,929,297,290,858,923,249,934,471,911,130,868,814,534,341,567,833,845,
833,032,754,955,374,395,643,226,504,385,976,996,036,986,352,915,712,497,403,
725,494,647,747,128,801,059,897,882,000,649,666,579,130,937,226,678,268,822,
786,084,056,758,350,965,657,242,219,944,539,890,839,682,082,252,544,300,915,
660,095,722,930,163,878,431,510,351,159,624,252,807,137,576,129,399,932,343,
180,636,910,599,356,723,968,341,580,937,533,112,540,611,229,108,551,487,352,
435,124,621,570,898,323,129,248,521,172,050,759,229,807,869,189,538,354,824,
476,343,581,501,221,510,601,084,509,309,334,346,679,234,919,464,861,684,742,
816,954,576,715,915,305,425,505,992,612,263,246,119,587,141,054,081,503,414,
658,088,893,784,602,315,172,527,250,446,867,459,245,252,688,386,257,842,297,
689,648,165,831,938,668,491,873,245,423,020,412,141,805,179,187,167,244,519,
354,387,623,670,531,260,667,853,509,906,772,506,837,079,877,198,156,690,544,
155,937,732,362,675,813,523,819,307,262,347,580,577,838,201,685,378,808,910,
984,445,827,021,296,622,139,493,958,543,047,341,949,549,569,423,268,077,670,
288,107,591,285,927,317,331,670,619,004,538,649,113,583,139,122,429,117,366,
702,503,410,713,729,944,184,149,181,478,354,189,056,227,940,662,794,503,091,
755,842,865,856,296,196,474,251,909,824,821,883,181,423,948,173,408,537,086,
037,479,033,160,687,890,648,477,745,114,733,846,473,829,413,598,794,313,520,
487,080,333,170,355,498,008,583,310,272,862,855,007,874,572,245,827,857,848,
792,154,909,336,441,505,696,270,823,168,414,738,841,498,482,622,081,680,738,
430,297,805,409,498,133,971,675,251,100,575,526,096,094,160,529,020,216,773,
472,585,251,592,551,395,553,955,325,938,093,025,880,469,711,852,729,182,968,
106,652,591,180,320,818,434,731,666,015,137,974,643,798,368,190,528,351,129,
487,167,580,604,026,733,317,727,812,686,093,565,182,020,426,637,687,414,881,
463,665,054,499,633,802,259,528,915,409,542,003,222,988,069,162,026,460,461,
845,479,314,504,039,537,710,459,039,480,471,065,258,994,378,752,759,328,233,
169,584,131,414,401,537,740,376,566,873,271,296,718,355,328,562,228,107,854,
208,328,087,960,899,603,266,422,956,178,791,797,213,504,675,029,342,329,561,
550,226,823,867,238,001,183,561,013,636,472,777,181,551,913,922,802,317,411,
770,617,833,358,402,241,489,116,051,357,381,964,511,596,999,650,361,064,349,
766,292,282,519,114,773,817,369,272,263,391,861,877,987,716,374,005,054,631,
521,045,311,963,922,461,447,271,881,475,070,787,916,845,702,429,558,775,498,
524,290,485,323,042,128,427,435,939,312,307,281,513,720,820,354,137,016,474,
707,372,106,770,321,256,988,301,455,316,698,000,396,764,472,987,047,663,264,
425,839,016,564,688,335,688,030,430,979,759,753,803,174,217,196,841,461,545,
446,318,942,722,560,498,560,818,965,793,780,755,984,626,883,109,895,005,240,
372,283,075,822,505,753,462,804,563,888,870,161,628,136,889,247,302,036,750,
400,115,540,228,374,882,063,008,687,778,993,070,955,856,931,418,880,820,914,
638,157,876,907,276,233,581,566,081,971,885,582,307,327,527,845,138,212,120,
940,601,465,085,129,112,011,486,782,695,938,422,275,568,320,482,295,590,031,
564,564,317,253,012,484,072,872,215,455,783,277,859,963,823,306,178,762,113,
630,479,674,958,579,718,438,745,330,296,565,068,599,521,697,826,360,901,398,
890,073,025,624,087,907,725,520,750,748,423,861,145,957,754,645,167,514,714,
041,025,603,409,109,389,303,899,919,571,588,563,452,007,854,564,694,942,571,
734,124,081,219,016,150,952,536,302,311,731,781,813,622,228,334,046,832,556,
060,722,925,227,743,740,680,043,349,059,593,353,771,956,964,952,737,804,259,
169,574,856,378,859,262,059,285,000,998,600,962,649,726,807,183,149,163,034,
212,528,285,158,763,245,416,892,896,713,995,767,097,583,961,573,256,170,184,
481,584,724,251,669,788,103,095,504,999,248,704,946,293,934,301,908,175,529,
137,643,089,147,663,490,717,675,876,121,104,573,647,975,555,608,148,472,995,
095,198,892,802,925,742,027,736,128,779,005,303,133,130,298,012,583,889,146,
734,044,315,134,018,992,399,985,520,124,651,691,231,650,099,817,863,806,890,
602,756,316,990,045,114,919,319,902,859,257,954,491,890,555,252,058,293,471,
935,559,783,042,089,958,362,181,097,441,638,026,604,124,480,176,095,228,534,
264,054,259,678,844,144,670,712,809,035,790,575,355,273,946,668,405,848,766,
770,485,341,572,431,093,711,927,656,323,472,671,766,929,245,372,796,978,872,
121,859,139,612,098,953,265,260,628,210,751,758,806,690,122,666,772,514,356,
177,442,058,376,617,883,689,615,524,158,065,264,196,330,051,144,329,110,092,
703,200,051,394,742,492,216,964,196,623,435,210,799,198,334,989,488,169,466,
294,089,591,603,168,414,293,059,824,018,882,748,317,250,715,881,884,715,912,
436,734,282,966,879,878,168,092,167,309,204,942,055,289,095,019,520,656,979,
806,495,466,530,205,180,552,001,087,510,403,813,253,607,711,501,174,730,660,
791,907,143,256,752,467,006,694,035,135,199,509,943,914,623,379,321,043,441,
373,387,335,451,400,671,685,727,539,993,809,913,815,923,783,645,010,131,915,
444,891,167,706,198,942,339,523,730,840,612,915,837,704,594,256,517,480,576,
909,498,773,149,039,226,961,922,525,056,026,790,376,464,674,395,723,784,264,
244,515,655,443,470,568,592,960,980,762,745,903,859,548,002,328,355,285,768,
239,217,528,568,047,343,538,832,707,707,218,951,417,772,803,074,042,585,689,
654,795,910,897,293,548,414,808,754,125,205,736,056,590,534,496,338,000,364,
575,359,215,473,601,886,731,574,037,666,125,018,733,686,653,943,680,022,249,
212,910,610,942,559,539,989,929,580,700,398,358,808,350,537,099,640,930,000,
620,034,681,054,378,172,363,521,353,035,196,789,370,800,888,706,205,481,840,
771,774,311,447,429,933,773,948,479,118,323,784,918,063,930,196,294,621,411,
296,259,580,968,604,577,919,148,487,997,055,504,903,761,788,305,374,561,483,
439,419,599,822,201,839,816,788,618,757,127,517,515,189,329,004,530,010,464,
978,555,960,051,758,215,544,876,184,520,039,630,656,795,593,982,715,533,694,
835,377,274,696,548,427,796,848,458,235,967,454,788,258,024,140,868,363,194,
121,735,941,233,467,016,221,621,930,581,882,802,680,718,583,913,554,845,496,
335,400,180,740,671,040,001,226,708,367,431,021,810,778,041,278,653,194,190,
053,358,741,771,309,060,897,762,979,125,423,907,992,716,057,949,836,810,542,
310,788,970,641,037,787,182,937,791,486,057,278,218,268,478,623,390,683,593,
125,098,250,678,092,792,528,209,255,838,566,681,422,883,993,292,145,874,101,
310,664,767,490,471,790,341,304,672,639,523,908,922,703,640,133,197,147,308,
034,718,038,830,242,672,647,982,483,017,464,318,393,953,531,030,048,131,028,
754,308,497,122,255,116,097,269,364,047,867,304,637,045,944,851,489,456,867,
620,830,862,175,319,075,969,470,063,843,517,357,113,918,512,630,896,423,717,
195,328,930,709,923,266,795,868,288,844,398,723,348,830,646,049,817,580,356,
766,267,051,415,269,661,639,104,120,853,498,510,405,114,244,416,754,103,591,
355,403,150,489,995,868,764,418,067,769,255,132,950,730,628,817,460,382,022,
093,846,494,644,178,304,100,068,823,217,703,033,978,735,129,087,261,697,650,
626,487,563,820,692,796,070,149,987,922,102,038,089,464,269,481,977,057,527,
206,847,187,314,768,178,847,034,505,621,872,924,025,987,660,751,987,854,986,
659,389,478,712,070,624,357,094,668,663,976,041,287,084,914,819,088,980,097,
312,363,926,182,565,191,113,620,618,804,588,903,586,757,751,506,337,879,213,
095,999,537,998,034,416,203,929,355,768,860,553,398,144,065,870,757,610,770,
205,631,588,800,861,975,351,901,219,579,717,883,989,143,520,372,765,765,201,
240,239,673,920,932,370,522,921,696,354,370,967,762,632,125,385,700,726,512,
925,431,166,417,137,695,684,898,057,124,033,741,594,608,338,179,965,967,601,
927,516,353,116,313,097,337,494,191,585,358,483,226,812,790,827,119,866,661,
718,957,434,114,694,110,086,123,346,662,919,676,685,628,868,884,031,232,645,
592,208,077,014,868,804,392,584,196,036,879,158,712,414,631,293,363,343,587,
227,203,269,372,274,608,976,160,579,629,054,066,633,131,298,561,711,397,236,
112,075,973,400,837,594,848,193,129,130,405,573,571,327,020,664,629,785,878,
545,025,540,002,937,611,819,958,828,413,654,749,771,789,704,403,730,268,696,
326,801,646,300,246,584,727,547,464,059,409,259,233,164,066,221,823,213,753,
658,775,718,720,802,335,976,844,800,641,422,876,963,514,180,030,542,935,260,
270,428,089,838,756,656,486,896,514,650,471,860,093,854,524,164,790,523,160,
249,682,097,598,550,395,074,420,023,023,254,305,348,451,362,650,696,512,834,
960,576,001,686,160,113,682,361,174,310,293,752,465,070,863,981,553,431,360,
828,726,448,396,873,475,515,751,083,945,479,014,819,993,841,551,143,000,566,
228,809,198,910,286,964,701,234,734,963,961,161,453,860,517,273,969,602,682,
690,379,796,844,024,892,199,357,409,074,729,872,660,266,787,034,515,317,324,
535,740,736,042,251,207,690,092,422,588,434,664,920,728,437,140,394,477,505,
743,663,024,458,274,609,952,053,858,664,027,042,357,214,407,403,491,476,906,
379,187,505,002,475,355,699,166,243,080,956,938,401,405,248,169,999,177,297,
591,136,122,816,419,789,761,216,074,052,743,491,627,231,256,574,242,106,636,
563,003,377,354,804,802,094,635,819,754,028,457,482,427,380,960,606,069,618,
566,187,248,810,382,271,957,290,218,311,157,521,262,413,497,732,793,471,468,
691,060,452,985,375,160,797,281,038,830,844,601,812,899,302,542,129,310,832,
524,256,214,024,116,986,071,870,731,289,805,625,383,543,303,090,764,780,944,
029,286,118,662,805,597,475,675,112,616,823,721,383,568,388,862,271,501,040,
302,512,766,997,611,055,531,605,666,588,832,142,967,663,764,531,641,416,864,
936,516,484,363,594,513,203,812,960,501,764,698,014,573,968,405,125,957,741,
137,980,490,285,608,207,636,086,358,899,640,698,040,398,719,971,729,980,694,
784,173,615,921,080,955,393,576,372,886,406,397,327,930,596,053,983,318,547,
626,044,113,344,791,453,984,662,264,796,832,950,321,197,292,378,814,683,733,
990,925,713,011,293,907,822,058,800,421,221,767,512,559,876,931,500,329,590,
543,568,227,994,723,012,627,048,447,213,284,798,448,013,574,903,338,596,717,
924,581,144,638,181,904,434,638,138,197,848,193,473,192,741,451,107,210,048,
372,068,404,742,872,695,398,079,915,248,559,609,404,351,146,845,639,394,682,
334,291,305,260,211,269,059,732,981,999,792,415,763,584,412,838,525,117,918,
783,151,728,328,461,380,786,890,829,608,717,211,375,650,054,510,255,698,067,
450,628,091,670,978,520,150,929,765,617,289,578,067,445,389,576,661,546,980,
014,097,645,113,786,614,947,919,506,830,501,671,596,258,546,802,879,775,610,
642,304,199,796,725,770,243,323,977,635,166,123,632,800,984,924,982,706,225,
143,292,305,277,026,485,655,171,203,503,522,085,919,246,969,863,260,101,526,
610,616,883,862,780,586,653,097,174,483,324,601,186,619,620,893,320,247,348,
609,383,744,679,099,587,164,583,662,818,029,871,194,218,823,876,111,660,278,
650,136,226,961,263,631,699,955,757,467,729,870,516,324,910,824,430,515,566,
319,055,446,980,884,717,885,857,482,241,548,723,487,671,758,499,226,244,852,
719,429,633,658,976,110,040,863,437,126,501,779,776,346,706,384,449,230,853,
539,038,702,992,288,171,627,248,550,299,205,596,506,337,518,331,363,132,489,
612,645,002,793,136,829,173,645,727,328,428,460,206,375,480,115,616,002,254,
149,871,873,066,550,550,407,692,121,190,621,917,593,332,102,158,993,089,499,
316,424,323,775,132,850,696,382,888,729,199,323,449,439,407,072,278,561,725,
604,690,587,683,212,473,696,245,903,257,650,532,341,225,380,098,290,817,687,
049,678,922,473,625,931,666,208,745,364,351,414,695,909,928,664,475,571,210,
745,888,505,995,013,954,689,788,766,433,455,536,149,310,461,287,814,375,783,
909,773,948,099,851,020,591,044,574,124,279,211,056,009,706,627,165,377,857,
190,874,313,724,955,666,832,778,307,652,127,497,882,147,539,401,339,845,596,
897,968,703,276,409,695,976,896,275,946,071,632,001,715,600,960,653,620,576,
549,133,671,922,528,936,238,704,924,150,328,516,909,754,056,320,397,923,393,
430,931,932,500,554,381,543,970,649,636,990,157,457,135,937,572,412,255,819,
520,888,675,124,202,436,985,200,186,052,007,718,161,557,949,404,968,495,662,
697,366,751,605,546,590,206,919,255,283,770,584,256,827,545,243,872,777,229,
975,804,138,784,389,382,596,412,396,839,667,275,810,145,123,516,094,815,877,
336,493,266,628,369,165,477,925,727,443,546,068,365,805,004,586,650,179,795,
254,273,951,440,064,610,531,915,176,669,388,056,183,192,853,901,962,107,529,
518,324,459,998,712,646,586,049,068,467,118,758,618,231,640,198,775,318,392,
364,166,206,870,991,335,404,216,649,495,269,405,854,963,165,883,125,353,675,
361,808,720,764,599,122,141,695,405,682,237,285,005,809,767,049,833,376,485,
780,666,757,927,548,093,043,768,317,613,673,759,625,271,075,327,612,093,213,
850,816,721,852,367,170,437,392,153,265,438,721,835,011,876,658,680,557,601,
480,652,153,653,489,797,552,040,360,189,335,244,191,362,559,489,418,462,643,
455,868,440,878,613,038,146,957,642,917,788,388,653,124,445,202,366,556,258,
871,666,393,759,735,634,275,682,169,609,922,131,237,435,715,421,425,682,150,
019,920,690,926,239,774,849,527,003,967,438,521,695,247,096,361,024,092,031,
180,331,910,532,026,774,789,166,844,011,144,274,195,493,178,961,113,643,510,
105,848,362,817,540,008,341,838,162,140,721,448,199,204,983,234,238,647,848,
774,504,933,198,814,854,366,243,711,715,772,860,782,446,309,153,982,682,702,
356,276,512,629,198,611,162,010,649,196,785,303,764,761,940,145,820,272,791,
660,556,749,461,907,384,722,781,746,071,846,088,394,965,998,992,408,217,982,
901,469,888,784,503,578,627,085,455,654,765,088,416,977,400,891,934,112,950,
093,292,805,178,869,490,430,292,172,245,794,830,429,216,781,587,671,913,011,
435,683,131,531,802,981,407,498,705,432,018,607,571,382,673,873,963,753,330,
476,783,646,198,501,222,385,448,410,495,535,268,286,033,386,932,485,040,521,
410,617,264,261,698,734,796,511,420,478,481,499,643,197,028,645,758,511,716,
141,149,246,173,934,337,422,747,450,826,787,836,421,471,995,457,747,928,668,
724,218,763,681,754,985,815,866,290,516,582,687,679,692,603,063,714,244,118,
140,477,333,464,048,090,391,784,806,595,759,238,834,069,775,922,137,069,876,
785,713,930,276,274,600,880,877,667,328,901,225,161,350,597,783,417,424,906,
188,513,515,744,577,534,824,083,610,307,941,236,068,277,184,363,600,736,502,
901,325,011,014,746,074,902,534,511,891,700,878,739,204,973,816,759,443,323,
092,580,455,647,967,299,501,967,643,819,011,317,760,276,123,744,756,079,394,
470,095,689,098,004,687,451,873,106,199,575,926,824,788,768,749,505,432,393,
993,399,873,573,807,194,057,441,271,962,539,766,913,647,598,126,762,499,692,
662,123,078,278,204,166,733,134,356,299,845,526,758,732,205,270,927,694,813,
143,505,134,747,397,408,337,323,274,590,587,527,512,499,408,470,956,722,703,
933,454,803,159,542,267,822,056,378,494,004,539,588,013,763,389,470,568,349,
259,231,054,760,657,510,863,321,324,231,054,737,616,524,377,923,074,463,669,
710,946,238,219,428,395,318,925,854,001,666,577,119,963,375,289,859,798,927,
143,758,078,527,427,899,796,326,018,653,617,123,675,046,368,176,557,736,311,
873,140,391,986,270,580,636,868,834,006,967,580,558,664,028,141,204,857,131,
006,014,061,597,036,297,356,958,524,347,936,596,890,667,625,639,349,615,197,
404,948,945,438,863,412,087,327,293,273,184,118,317,775,714,754,410,736,934,
504,299,241,080,365,996,149,983,991,388,380,878,960,881,504,632,786,541,118,
534,471,920,284,299,454,340,403,677,776,808,300,702,181,099,167,547,022,451,
053,099,698,459,432,235,722,660,636,897,612,128,973,442,361,869,971,107,194,
896,916,298,413,550,051,908,596,851,773,771,282,286,579,407,774,870,735,634,
684,126,602,631,148,484,473,173,865,601,916,449,207,942,183,735,229,116,768,
944,974,630,162,442,128,039,483,224,976,554,283,063,102,085,027,416,404,761,
399,625,112,807,211,192,251,882,964,773,674,557,082,974,198,917,784,197,610,
211,222,460,209,857,398,126,996,496,832,435,975,710,270,952,940,704,885,124,
896,995,005,647,477,688,925,317,812,538,459,473,338,965,478,843,071,660,646,
107,024,832,020,801,590,685,300,022,234,940,534,429,021,697,431,048,639,673,
096,792,367,938,075,700,037,337,704,035,152,775,216,939,051,247,490,857,061,
886,757,690,345,994,984,843,146,839,773,288,965,075,532,655,264,409,087,633,
355,217,615,014,046,608,245,765,079,563,698,059,347,380,117,301,953,329,332,
029,518,968,398,782,993,030,916,279,875,342,850,066,044,008,784,304,781,845,
865,693,751,485,641,700,789,022,692,046,712,659,330,033,588,511,441,301,820,
273,199,320,078,272,594,945,675,004,123,456,767,006,125,327,939,914,125,348,
272,794,342,104,437,257,143,330,090,300,729,369,269,301,358,033,697,001,832,
803,494,360,700,099,858,611,715,898,461,322,278,124,704,504,175,440,241,596,
606,293,384,830,197,551,915,332,570,022,998,596,526,959,772,207,488,133,667,
963,064,588,806,192,205,654,248,373,092,704,287,777,798,696,427,013,599,467,
055,096,321,273,639,729,725,691,224,209,453,681,729,392,132,149,146,237,503,
970,899,552,477,943,255,074,425,008,014,937,504,595,679,659,663,786,448,337,
792,751,992,328,984,119,983,281,749,355,289,218,173,474,940,577,073,183,416,
505,584,525,166,920,165,459,756,930,707,924,987,141,698,543,416,171,925,739,
799,468,745,981,433,859,241,986,862,294,603,651,478,401,124,878,529,360,889,
363,728,502,610,743,832,367,954,174,939,558,673,223,682,707,229,718,025,395,
605,362,751,983,148,561,356,760,837,236,714,736,386,639,492,029,505,855,150,
287,501,353,129,756,855,998,727,612,532,289,255,583,938,996,654,022,881,443,
568,126,150,890,102,274,473,156,248,100,735,184,636,493,512,382,586,349,052,
180,531,152,500,973,687,161,396,630,401,990,944,772,990,498,559,357,762,331,
863,381,909,717,426,749,297,643,923,029,628,318,027,087,168,938,451,557,717,
060,904,685,187,018,186,412,785,887,073,400,769,809,518,556,551,198,934,939,
915,294,799,300,807,600,492,671,652,712,349,006,607,833,100,468,454,308,270,
057,907,378,285,507,771,495,828,136,104,008,277,905,865,300,117,206,362,125,
484,750,362,685,246,090,421,699,273,315,175,851,141,548,568,213,083,248,750,
345,406,456,316,618,657,537,530,237,680,868,139,444,649,116,286,764,345,695,
181,967,298,550,483,720,205,740,410,957,840,799,120,289,607,676,188,634,692,
032,036,884,188,579,502,405,108,315,617,263,086,682,007,971,326,010,623,237,
495,314,917,717,013,463,636,473,032,324,597,723,444,602,595,828,667,190,737,
017,151,497,041,025,367,650,698,430,040,717,669,044,659,941,118,731,870,733,
025,733,614,369,114,421,295,989,404,670,569,194,119,074,432,901,763,630,817,
987,306,703,456,800,529,722,295,567,131,970,599,301,085,990,312,391,145,928,
600,870,381,609,399,577,433,162,353,529,286,422,747,873,351,282,693,609,535,
270,945,810,931,479,638,145,890,428,633,650,579,983,273,371,704,813,760,638,
867,698,488,206,204,829,168,645,866,595,056,579,518,553,134,712,502,905,005,
399,473,226,273,669,596,539,014,610,443,214,133,928,364,362,836,150,186,436,
769,024,285,945,004,123,682,900,466,846,397,549,095,941,278,096,649,644,365,
916,071,017,071,810,293,972,584,350,748,789,089,343,423,174,617,088,710,200,
363,022,254,119,613,742,791,629,832,628,941,331,815,586,887,593,064,327,788,
069,577,694,865,571,775,201,052,034,485,415,133,859,889,786,976,265,609,540,
257,164,911,655,818,487,950,018,744,031,918,418,096,652,465,076,434,587,663,
499,962,771,504,373,721,060,750,129,515,281,492,148,840,827,991,161,970,774,
096,763,116,177,104,004,891,061,842,687,680,016,391,745,068,880,217,406,253,
571,752,994,654,204,356,624,918,215,621,366,245,080,245,381,678,897,506,160,
175,609,009,044,611,654,658,137,163,359,828,531,824,941,256,499,376,133,753,
566,002,238,263,230,737,840,338,162,014,342,053,218,149,915,701,526,661,359,
103,159,767,182,409,263,979,147,191,888,203,344,979,665,592,112,054,649,308,
851,458,555,739,127,166,447,085,810,355,342,710,616,486,543,826,447,465,339,
926,396,651,611,305,008,904,734,646,684,051,997,172,604,832,557,857,593,991,
845,697,328,812,257,087,305,066,962,634,404,595,732,380,792,803,791,768,767,
440,345,350,503,918,145,566,822,020,501,710,949,467,638,768,412,924,402,591,
946,965,194,085,996,539,898,945,551,368,166,887,024,761,289,879,875,866,640,
392,022,382,154,371,243,062,175,088,430,600,335,548,177,183,807,879,292,880,
738,819,248,543,687,853,052,335,200,074,034,938,723,834,829,045,464,339,244,
576,450,618,270,670,613,490,049,465,079,292,125,236,095,346,639,464,113,703,
775,216,584,035,266,491,937,423,775,449,014,679,202,312,846,871,190,223,901,
711,043,379,380,842,291,207,142,345,632,059,703,968,283,440,684,271,537,584,
392,803,164,698,736,323,113,918,591,665,596,506,266,939,259,711,050,023,980,
353,072,473,873,885,699,715,159,445,759,208,607,283,260,344,384,610,467,861,
022,115,318,557,170,053,859,761,914,458,481,249,437,395,782,112,353,020,376,
559,905,993,739,584,688,859,524,431,819,274,818,684,150,744,244,658,522,697,
964,192,695,624,616,053,967,008,474,217,090,575,520,760,362,446,761,917,177,
675,180,862,840,562,075,847,943,426,973,416,526,667,703,839,070,784,141,194,
711,494,429,167,575,858,358,642,112,682,857,869,922,669,428,395,847,655,898,
011,588,418,575,948,553,350,379,868,126,753,749,877,264,460,487,124,598,041,
130,361,836,254,791,779,793,879,710,985,047,090,507,951,786,131,630,670,719,
073,853,243,802,499,171,444,016,281,015,628,962,980,057,454,666,027,136,750,
237,522,691,859,798,856,293,242,463,095,822,726,348,045,868,054,784,279,100,
323,333,307,180,745,315,972,257,191,594,435,601,840,302,942,883,338,681,734,
275,932,344,377,098,492,395,833,983,154,202,908,063,285,812,919,602,497,362,
366,680,131,722,974,420,151,421,084,081,226,770,935,398,986,402,790,372,300,
878,980,575,127,723,311,820,310,577,995,153,759,327,978,774,657,589,440,825,
853,962,470,865,920,203,566,911,259,817,539,670,868,586,625,247,690,654,752,
716,184,335,000,910,127,053,915,595,549,116,660,789,532,123,303,815,987,564,
814,075,286,667,963,541,800,284,729,986,028,309,232,170,216,991,739,291,483,
223,236,591,954,020,688,771,329,401,824,398,109,288,559,437,108,916,737,378,
109,371,088,801,499,038,032,056,499,664,739,134,241,269,654,424,533,864,464,
033,760,777,747,424,861,361,247,620,691,957,662,071,304,863,967,367,725,676,
716,604,510,393,267,638,537,788,689,694,631,487,977,228,504,430,438,681,933,
023,977,150,093,898,021,618,632,240,151,846,109,633,066,633,478,063,159,812,
011,108,419,658,200,506,379,862,803,370,727,292,842,596,629,025,186,412,693,
190,728,101,655,851,786,461,076,298,095,330,738,193,625,667,960,507,759,227,
550,635,647,277,449,079,434,677,289,318,688,060,116,140,579,996,442,362,523,
123,142,635,983,958,305,367,239,501,101,489,787,342,625,359,069,915,859,336,
659,044,959,448,468,416,294,761,189,743,053,973,580,099,552,592,432,895,761,
345,751,899,406,424,417,635,472,984,406,028,878,553,894,140,313,364,833,282,
391,408,761,263,175,173,786,936,275,861,693,057,661,483,818,916,292,072,085,
332,313,654,535,708,463,524,470,861,649,597,357,278,896,655,395,821,074,413,
250,940,030,907,028,067,406,824,098,540,102,040,088,334,970,493,946,618,055,
282,429,374,255,275,606,692,094,989,010,205,264,148,286,938,216,226,058,815,
203,095,440,371,538,733,492,026,190,597,162,959,303,036,636,190,202,307,793,
027,620,033,787,885,766,232,638,975,833,524,641,764,568,709,188,936,630,778,
265,974,176,055,938,686,537,290,866,209,793,980,561,836,002,634,079,690,565,
050,570,795,441,710,749,051,029,948,441,488,903,636,599,426,982,813,501,095,
322,000,684,081,217,305,073,284,316,902,809,381,768,607,941,099,428,693,878,
189,740,954,344,468,297,930,515,816,409,761,506,652,419,623,922,531,043,491,
304,583,140,546,602,406,164,969,147,536,496,451,533,660,884,188,042,909,485,
733,227,403,787,470,509,942,519,259,002,309,779,987,776,632,158,683,359,642,
695,670,993,126,393,685,546,096,947,582,225,563,127,706,132,211,108,779,153,
793,192,297,458,833,276,087,149,127,792,325,376,538,615,005,675,682,481,735,
295,021,152,109,813,425,803,715,540,514,430,802,027,437,147,740,180,959,487,
472,147,179,656,062,584,573,540,947,977,400,065,947,263,278,542,365,600,928,
112,022,308,491,888,624,633,575,589,184,821,121,351,731,827,148,914,979,003,
131,357,771,904,901,215,554,770,680,301,311,507,859,847,900,860,077,046,101,
837,926,949,060,094,829,018,746,592,905,365,992,889,334,223,733,143,892,697,
917,343,479,439,578,490,910,334,165,938,910,591,493,784,649,096,225,951,429,
974,621,995,051,709,245,717,860,328,824,086,987,255,627,685,327,472,476,210,
094,743,430,444,148,358,469,636,872,973,463,899,732,328,692,032,677,453,871,
093,674,974,911,685,932,838,279,427,304,205,229,072,217,794,906,376,204,965,
823,987,775,521,096,066,069,280,553,740,774,474,509,199,751,081,297,851,205,
754,453,470,189,554,533,246,137,648,373,767,093,023,256,200,302,518,709,394,
398,015,854,395,949,351,197,807,734,733,194,735,277,019,038,329,239,785,839,
241,801,939,044,706,258,273,602,296,989,271,252,335,552,640,942,413,752,906,
885,846,729,381,863,706,362,535,967,416,399,249,513,762,849,342,477,112,817,
065,930,407,583,748,359,282,750,466,543,987,653,533,570,041,173,677,138,564,
231,395,501,470,862,187,015,388,593,803,442,094,488,637,095,084,678,221,047,
839,470,779,527,527,601,156,974,457,691,241,755,427,767,180,680,808,501,159,
486,905,106,785,526,826,705,946,167,542,001,932,867,283,967,490,133,271,660,
583,367,542,907,547,509,715,096,303,996,281,555,273,929,964,341,378,243,705,
806,854,026,487,595,073,377,459,412,755,460,397,981,158,044,933,017,137,203,
968,562,282,791,511,350,286,113,030,636,650,577,541,640,361,405,334,066,875,
565,331,345,587,336,217,892,603,605,850,263,631,859,114,780,757,968,045,750,
029,374,703,314,707,524,565,404,867,230,085,293,889,416,005,026,327,394,805,
497,831,584,177,284,412,593,666,701,819,498,713,493,123,288,768,983,615,248,
880,692,349,000,911,037,017,123,877,618,126,363,948,292,555,715,774,003,086,
046,663,511,043,091,294,217,463,082,087,198,431,133,100,113,278,827,188,944,
623,288,728,927,291,931,771,250,592,474,654,309,435,696,340,249,917,092,030,
393,413,799,313,050,818,793,833,073,684,256,148,956,071,327,623,516,737,091,
211,625,917,681,627,529,117,113,945,237,134,032,691,638,362,084,451,312,740,
656,044,414,159,491,600,884,655,755,441,432,311,730,956,599,029,916,752,893,
348,220,310,311,534,280,012,237,279,007,757,867,466,713,586,627,409,727,364,
266,554,695,528,848,024,106,931,886,268,869,249,149,938,560,728,577,647,401,
808,108,744,686,986,595,131,043,160,750,538,115,092,605,512,812,144,608,422,
479,822,606,481,002,652,370,901,534,183,513,909,868,422,553,349,734,210,890,
027,443,884,602,345,663,615,027,204,099,945,446,767,738,156,333,723,786,693,
068,836,897,365,078,115,595,162,668,459,040,412,822,155,267,705,963,580,087,
185,776,524,698,039,775,510,482,612,659,362,464,690,397,129,271,043,659,145,
351,504,393,891,709,860,495,703,313,100,132,181,240,556,790,073,113,890,000,
137,108,545,709,246,698,785,305,536,222,924,324,826,335,881,657,339,376,898,
990,443,415,911,993,215,406,887,436,070,126,233,074,683,177,009,428,631,404,
059,476,977,014,259,094,119,105,316,750,290,337,875,507,280,580,431,408,012,
710,980,168,356,492,522,602,700,936,641,671,803,822,490,963,242,319,052,024,
767,779,363,748,873,121,698,867,463,784,418,204,803,687,194,938,371,700,039,
332,242,391,695,574,536,550,625,203,310,221,066,736,664,489,170,561,007,200,
302,146,059,595,753,920,774,211,012,148,622,489,530,077,892,940,943,873,879,
148,496,727,864,746,054,765,692,921,925,228,398,880,782,033,667,668,557,117,
325,109,503,451,168,723,076,108,112,480,375,907,478,057,326,396,763,797,957,
393,304,703,036,681,464,787,801,624,031,776,644,991,385,826,515,374,321,122,
557,932,737,658,980,186,866,479,981,709,776,428,216,539,955,215,198,870,382,
109,063,695,887,359,304,637,643,726,446,943,776,199,877,236,851,112,343,143,
268,229,427,677,119,395,761,761,661,540,171,978,031,261,396,937,732,220,389,
587,556,431,452,596,769,486,483,100,469,122,971,915,349,045,839,779,126,416,
156,894,240,092,755,506,010,563,911,500,740,456,424,791,576,315,682,605,556,
720,784,982,309,252,106,207,268,526,834,508,706,978,012,997,261,826,678,727,
332,555,664,977,154,739,294,166,563,601,336,572,844,954,590,309,952,787,517,
124,708,793,440,425,005,157,193,438,359,703,487,831,714,454,611,802,706,670,
899,110,903,482,918,727,888,573,241,182,604,280,412,150,013,212,579,000,082,
769,334,876,348,362,260,858,585,424,710,526,716,526,507,503,639,141,380,483,
875,323,136,921,270,274,625,475,385,397,636,385,145,484,096,813,386,283,577,
826,399,438,990,666,987,969,874,527,585,292,926,200,000,124,695,492,397,053,
758,068,567,814,122,426,498,594,875,094,714,507,977,961,440,696,170,523,382,
875,749,833,814,170,567,964,625,721,413,546,030,647,847,609,304,126,383,718,
198,109,541,801,092,254,713,265,008,470,537,424,817,889,368,914,719,212,373,
636,763,200,158,964,464,491,583,667,087,187,748,949,930,675,607,512,854,400,
908,763,527,350,742,573,060,349,800,202,281,617,682,637,767,525,867,182,674,
931,531,335,602,997,597,540,991,019,918,175,197,802,462,338,685,250,664,979,
810,243,815,091,562,668,144,009,993,440,340,771,876,588,055,742,178,441,285,
362,861,944,635,609,262,942,658,545,945,698,272,853,325,619,347,895,270,361,
721,371,630,200,512,854,630,879,978,069,663,552,643,105,733,955,123,232,823,
815,174,477,731,273,412,106,053,608,187,250,502,737,343,925,472,702,973,090,
381,503,172,649,276,816,856,557,265,323,988,541,415,934,390,125,970,222,719,
085,449,969,665,263,087,701,081,146,308,216,696,834,488,372,743,534,478,086,
265,941,290,077,352,639,627,396,659,558,410,110,113,797,721,651,980,717,893,
689,684,665,865,174,276,713,096,634,235,666,557,991,626,696,997,565,074,721,
653,229,555,622,192,114,109,239,303,133,312,826,114,021,158,818,388,300,248,
840,954,794,382,660,473,902,551,296,016,290,529,623,031,346,986,811,345,594,
841,451,317,991,576,606,699,372,954,753,125,787,722,184,272,536,796,146,064,
903,523,389,181,894,952,157,909,695,798,443,148,372,610,787,779,536,396,089,
950,376,295,489,817,971,169,762,854,975,280,642,763,799,062,931,556,250,360,
191,953,542,093,328,007,628,209,702,569,745,486,414,995,071,475,040,249,387,
912,783,415,508,897,567,427,013,086,995,227,382,348,806,593,048,104,235,274,
805,686,260,724,877,916,029,737,535,932,038,628,659,060,374,652,065,233,823,
415,526,035,860,586,802,703,674,013,233,298,201,974,120,289,561,750,748,981,
850,074,069,218,190,926,766,777,976,987,138,918,135,021,125,539,222,164,825,
962,540,326,072,778,017,766,060,623,646,857,306,360,055,133,793,350,604,600,
870,422,875,527,221,078,983,767,993,296,911,172,357,549,730,338,669,642,206,
821,297,709,480,248,597,309,569,968,381,022,431,567,352,123,038,424,803,571,
854,794,896,024,913,348,319,738,320,087,570,526,397,124,015,541,435,555,716,
641,072,266,090,398,708,836,204,170,084,283,007,658,564,015,016,606,920,014,
139,080,237,744,443,273,415,767,667,386,491,165,001,390,830,007,427,048,782,
932,025,882,147,112,973,939,895,862,418,439,979,517,334,583,331,785,060,230,
184,890,932,818,642,020,282,982,222,669,195,150,038,566,424,086,237,812,760,
352,847,786,031,942,598,200,286,593,574,988,327,417,447,655,459,791,805,218,
990,373,257,616,821,669,351,119,784,447,777,696,876,710,491,117,469,671,223,
090,479,913,975,148,814,056,965,079,429,409,283,138,147,910,579,404,704,472,
129,006,503,857,024,762,188,691,391,387,109,562,523,438,596,146,294,451,190,
006,813,940,636,418,124,237,137,809,902,420,537,339,626,514,166,767,989,604,
768,652,221,592,207,455,786,967,176,631,762,251,724,478,252,144,406,242,751,
719,112,032,517,494,787,137,357,735,037,086,690,845,386,902,749,803,737,555,
449,720,156,250,965,658,954,092,921,651,770,778,382,671,951,193,587,304,395,
585,170,858,050,963,432,206,844,044,656,008,966,900,830,530,356,613,558,745,
192,145,807,632,788,764,115,340,937,039,225,437,108,091,225,701,877,467,523,
440,441,199,293,612,748,482,515,140,776,267,486,353,875,407,939,760,077,523,
152,973,600,475,344,944,830,933,118,777,115,335,721,834,332,025,297,442,180,
310,225,731,722,009,933,257,847,782,718,309,036,787,706,172,858,925,468,520,
815,541,948,743,781,426,294,080,913,612,111,435,772,923,037,274,076,435,832,
534,558,642,659,279,126,246,822,411,074,841,772,043,370,983,520,019,844,077,
849,214,345,314,451,363,529,815,228,379,344,831,703,616,579,399,202,134,197,
651,290,777,631,430,310,397,001,817,457,874,982,411,909,446,675,513,816,785,
425,473,057,466,450,821,322,589,515,521,914,425,773,737,187,378,399,155,267,
013,229,683,913,793,047,599,494,522,543,024,636,004,437,933,676,864,027,278,
460,979,848,504,522,164,385,654,028,709,156,438,421,948,764,736,571,756,398,
777,962,944,074,112,686,067,814,709,696,252,042,715,020,438,622,540,035,584,
909,864,567,102,860,331,648,543,133,228,178,476,386,466,169,209,629,672,996,
827,659,909,692,235,947,702,914,115,571,637,614,136,059,796,589,224,935,279,
365,595,934,794,238,507,355,770,792,026,361,180,623,557,142,458,102,047,401,
177,534,411,337,126,008,813,585,995,224,839,282,309,124,522,646,627,815,279,
656,102,948,026,793,734,692,901,329,152,823,592,772,600,740,272,226,540,784,
308,803,345,063,911,624,104,952,057,105,675,872,732,737,673,201,825,147,852,
043,821,771,028,003,032,238,169,116,889,263,688,149,767,283,064,284,762,849,
861,558,946,925,012,900,918,292,953,413,389,047,587,540,273,877,400,229,468,
701,453,147,581,741,694,930,461,898,235,600,656,042,125,358,474,816,894,443,
625,332,627,853,885,801,865,890,070,082,672,335,707,868,662,650,883,806,796,
761,532,988,414,168,835,607,915,316,241,734,582,372,256,003,816,847,957,695,
681,118,624,294,530,419,708,469,143,333,403,173,572,249,656,451,669,055,197,
680,755,838,811,807,937,050,054,885,058,317,585,332,131,875,391,767,148,354,
246,003,279,661,006,249,173,605,843,764,549,612,779,560,488,089,121,167,489,
583,178,187,755,928,226,560,038,684,410,269,162,053,002,189,961,980,850,739,
212,384,376,914,717,359,193,822,862,078,366,248,452,496,181,326,511,387,367,
253,643,285,118,311,927,541,470,209,387,887,102,520,125,379,657,605,439,899,
526,856,979,505,338,009,355,705,066,894,124,808,689,184,054,369,150,484,515,
329,266,131,243,574,094,961,193,756,024,339,388,484,321,048,621,468,229,389,
293,297,863,942,004,357,886,000,145,204,793,490,635,040,777,797,858,500,691,
233,316,688,553,265,751,096,780,917,554,951,005,781,126,652,824,881,806,159,
158,853,030,139,266,013,242,043,915,367,432,580,750,975,772,694,785,986,322,
160,498,771,204,393,423,047,814,352,687,170,229,857,750,608,633,447,196,391,
229,814,187,696,984,686,321,733,775,834,249,859,979,626,738,560,086,439,350,
633,837,822,899,586,717,718,847,226,183,912,511,043,688,556,173,113,128,672,
374,861,575,793,856,598,479,117,838,849,718,448,363,583,539,670,743,042,342,
124,002,936,298,598,681,283,514,383,658,897,000,411,134,588,602,310,227,684,
591,917,390,506,478,213,094,972,950,055,184,662,546,856,678,745,205,420,560,
339,899,917,699,583,868,671,608,183,413,724,403,059,229,255,273,847,493,023,
016,480,426,708,913,847,731,081,444,699,340,627,195,453,677,169,020,150,014,
299,610,897,111,604,134,924,180,200,975,162,353,840,806,616,984,641,473,428,
983,953,406,646,579,519,393,291,740,643,063,281,882,843,021,138,166,740,135,
625,810,890,173,887,490,133,663,373,823,670,455,089,201,159,124,886,116,795,
971,660,199,819,685,121,074,987,838,194,030,966,768,428,528,226,466,312,908,
528,101,880,240,226,219,704,384,782,066,915,540,479,743,841,547,336,913,221,
081,660,235,406,841,413,990,600,862,559,214,837,116,987,793,049,621,114,458,
948,880,792,803,451,029,068,311,155,977,896,740,881,515,287,166,709,761,200,
606,929,084,392,731,897,316,636,421,267,892,961,656,647,103,273,309,505,339,
253,715,898,633,104,978,771,118,408,506,276,326,764,819,567,492,695,866,321,
069,255,784,197,220,019,063,205,117,494,303,438,508,980,621,663,552,664,445,
343,028,025,635,607,847,856,760,414,245,540,155,821,198,171,370,818,634,512,
809,987,160,745,428,065,418,797,543,953,602,961,200,616,804,454,921,192,891,
723,314,891,364,185,935,454,413,129,514,864,465,100,387,421,608,315,057,145,
773,542,424,478,516,809,743,839,026,114,425,041,339,987,011,930,983,811,822,
612,386,274,489,472,099,817,865,539,149,652,241,325,827,392,760,079,656,680,
407,460,750,602,341,936,152,640,198,928,342,784,911,733,760,659,929,817,888,
582,078,076,208,773,237,621,964,759,610,832,942,300,322,406,690,596,765,324,
640,340,820,008,888,926,889,076,360,292,415,379,728,003,830,194,403,894,572,
731,269,244,925,430,803,840,216,693,479,255,095,162,762,968,207,211,025,437,
364,609,521,360,648,975,722,424,354,237,821,726,632,315,752,274,907,973,626,
160,839,796,780,099,019,434,777,445,244,142,410,600,481,778,635,646,044,988,
819,237,104,271,321,112,340,895,264,404,099,754,176,073,465,074,589,438,300,
776,057,302,245,346,204,186,895,307,520,041,292,186,737,995,164,112,043,945,
821,452,560,954,067,801,180,488,843,068,598,917,175,756,364,095,506,033,943,
300,892,828,047,883,866,619,208,244,065,002,097,698,403,867,950,872,964,505,
465,132,090,870,724,945,039,188,022,308,574,892,687,491,106,843,766,170,068,
651,857,048,590,426,976,476,553,519,713,092,330,085,294,470,268,966,797,990,
272,863,766,574,032,742,487,349,121,197,942,782,545,573,590,252,483,162,038,
567,769,317,410,944,671,346,422,785,758,778,139,022,901,478,971,670,662,883,
425,735,651,923,003,376,070,723,081,133,439,197,762,746,434,193,729,835,850,
442,067,438,978,330,417,695,225,786,845,921,313,304,506,441,463,729,096,889,
197,202,202,769,616,268,327,184,644,519,486,224,107,827,223,586,875,995,165,
975,394,802,784,127,997,320,510,856,579,975,642,151,609,023,182,381,021,521,
443,546,887,705,510,563,490,931,788,237,155,492,788,880,728,740,609,575,356,
783,934,517,189,060,575,988,861,230,772,491,907,667,168,286,508,838,997,017,
074,067,017,942,096,429,808,935,463,956,976,485,966,757,450,853,905,518,381,
554,186,926,061,315,582,808,551,080,418,082,860,537,649,586,682,924,412,467,
832,627,982,190,097,718,689,451,762,648,727,723,126,383,205,190,042,454,017,
695,519,503,091,728,828,136,371,085,350,893,836,039,542,525,047,734,540,637,
767,012,531,961,605,335,291,791,926,560,185,045,321,628,897,504,321,457,926,
091,159,748,370,428,873,947,118,231,783,203,728,836,316,334,873,886,486,573,
592,308,133,923,961,177,802,550,344,736,154,156,246,071,826,841,410,047,511,
697,208,141,422,818,051,451,107,099,175,649,285,702,566,539,712,995,900,936,
896,901,538,334,539,027,337,807,178,349,405,739,532,277,106,757,247,994,848,
505,920,280,840,777,310,634,874,677,541,846,227,532,933,043,476,541,940,303,
500,721,642,577,245,815,965,900,915,331,845,624,328,836,763,269,441,333,851,
989,360,107,336,221,790,650,506,683,668,730,619,955,873,437,021,340,742,476,
888,675,303,080,941,321,116,773,765,739,299,823,411,717,078,198,334,598,819,
047,528,460,113,738,073,740,500,125,187,865,580,902,394,606,630,854,069,735,
658,309,410,971,562,813,966,213,934,475,930,841,439,997,012,339,998,128,245,
262,347,695,865,053,459,710,690,403,633,970,658,840,461,601,286,334,166,358,
136,292,363,557,412,652,796,229,688,225,638,366,246,998,465,112,927,276,117,
891,023,198,309,171,491,618,827,281,737,798,820,292,538,044,009,682,050,910,
071,217,678,514,142,084,432,743,705,904,018,684,986,974,759,487,952,529,826,
594,725,890,104,444,340,094,735,671,809,723,421,862,938,681,943,404,269,848,
684,995,623,596,543,143,042,993,607,556,053,960,778,324,670,282,126,099,199,
163,966,228,737,414,192,047,337,961,192,078,434,938,837,936,187,895,955,787,
504,243,940,385,064,231,983,481,251,784,589,903,380,316,400,529,513,051,540,
576,007,472,038,421,901,126,215,139,066,419,313,140,057,574,907,982,704,057,
891,021,598,353,614,805,414,129,133,205,135,882,254,859,700,067,436,395,159,
638,342,833,830,726,305,100,307,275,571,736,693,770,300,462,768,169,000,043,
140,922,339,662,459,640,346,785,273,747,742,230,001,792,002,141,066,521,218,
535,652,986,595,012,843,106,041,941,252,822,527,087,217,787,294,358,840,199,
240,074,569,045,622,988,791,132,852,454,299,129,152,896,075,753,109,088,793,
842,682,868,006,645,896,830,667,013,853,604,971,902,807,496,656,019,100,746,
236,885,229,631,851,257,616,672,482,064,373,032,848,452,703,068,046,125,294,
150,935,218,368,064,342,255,834,601,946,156,854,719,029,789,671,295,576,108,
270,478,141,834,931,927,233,137,550,329,832,066,867,183,535,652,086,046,594,
079,842,004,919,699,467,082,509,036,300,723,120,518,136,033,283,078,450,997,
772,135,985,365,604,518,117,139,088,418,890,783,871,034,974,834,801,391,840,
047,664,678,678,369,665,777,577,473,910,841,389,320,271,659,044,454,218,704,
511,587,577,586,134,715,656,049,276,612,702,839,140,644,147,271,404,095,046,
054,367,659,306,316,303,513,156,351,241,025,238,592,399,034,299,583,565,029,
798,871,261,508,730,911,783,644,586,461,622,385,723,116,066,520,501,635,434,
376,410,583,450,676,738,301,758,715,793,113,188,239,179,021,899,573,094,233,
219,882,043,797,422,446,105,500,418,084,366,184,360,486,608,362,615,230,939,
553,703,968,289,605,395,085,359,230,991,600,826,014,371,789,966,194,041,270,
977,592,200,734,109,180,649,188,065,987,765,360,784,987,080,759,882,929,215,
141,883,409,367,026,638,669,668,996,695,045,501,536,845,175,409,634,170,614,
090,462,269,390,493,786,857,946,535,929,345,172,202,480,699,546,350,611,166,
506,390,067,042,192,154,241,734,998,253,041,237,327,218,245,621,552,012,699,
302,538,291,762,630,789,175,766,470,723,367,462,120,995,455,727,150,799,399,
028,843,778,525,982,539,263,805,771,395,428,983,106,634,867,847,753,287,135,
843,133,728,424,013,225,888,128,005,508,984,287,843,435,119,586,323,274,285,
992,913,676,086,260,390,386,501,371,356,859,850,720,219,099,873,584,687,352,
662,916,907,497,821,574,067,850,041,134,398,742,386,552,479,890,552,833,559,
895,498,034,058,756,663,617,019,262,851,184,191,524,125,735,116,626,491,440,
114,190,649,159,182,523,275,770,679,050,579,467,753,595,328,977,519,643,171,
711,142,131,700,199,473,822,710,776,837,475,709,124,829,954,103,862,553,482,
807,424,633,625,410,301,991,889,066,489,916,653,586,228,764,122,372,907,918,
235,058,041,041,819,649,359,176,380,157,941,641,546,715,814,901,146,334,048,
501,204,207,737,313,268,373,042,788,132,917,615,647,566,288,229,895,990,717,
516,788,781,872,752,349,864,405,927,796,037,683,664,270,368,501,339,939,147,
173,288,389,543,818,912,370,072,927,151,296,491,682,517,915,048,345,135,251,
022,081,428,648,831,267,018,148,644,802,365,420,894,983,785,286,769,416,396,
586,852,550,942,290,073,959,047,833,542,711,410,025,434,012,627,140,759,074,
468,757,659,685,567,897,032,826,528,653,384,156,716,043,180,758,464,047,228,
933,074,897,274,198,505,330,337,084,469,879,899,736,817,296,504,523,068,299,
382,423,238,131,528,576,357,987,635,799,434,991,388,933,675,557,198,001,853,
511,200,693,517,938,375,946,628,990,367,523,466,772,790,903,181,940,757,532,
274,888,117,955,637,858,017,914,857,810,562,151,937,289,341,072,635,899,212,
340,277,157,294,400,915,898,253,260,746,597,758,159,712,042,668,615,133,098,
030,784,068,824,395,904,395,568,803,877,883,323,116,309,669,763,246,568,093,
811,084,899,120,054,369,584,389,399,040,686,501,078,761,757,652,642,899,121,
840,382,777,199,375,483,910,578,836,889,258,851,834,327,001,441,198,494,891,
737,101,103,226,156,965,449,117,962,024,065,817,750,411,674,410,454,144,028,
404,992,550,845,148,546,283,535,734,051,219,665,425,269,986,170,724,344,766,
423,119,006,753,585,632,048,016,581,432,495,529,589,539,762,000,202,225,122,
028,506,968,496,858,348,108,277,485,421,821,746,333,976,910,544,126,625,232,
927,967,752,786,479,988,973,736,545,108,838,581,650,346,822,032,071,428,209,
015,623,111,983,465,395,241,107,981,315,423,763,513,337,996,591,937,531,892,
246,256,367,498,447,964,721,839,799,558,629,659,200,938,589,354,522,332,843,
744,290,112,890,776,070,954,985,269,090,702,674,077,430,356,408,839,804,092,
167,183,226,892,945,885,248,733,636,257,400,711,891,117,692,303,789,349,005,
524,637,354,841,376,559,024,553,223,440,128,138,136,252,407,397,499,476,946,
343,896,432,464,566,952,533,551,088,529,339,342,652,054,477,905,536,051,460,
295,270,518,356,087,234,278,523,274,892,359,741,427,964,172,067,336,987,623,
383,777,425,751,961,379,627,898,177,341,753,836,776,292,300,248,635,505,270,
501,801,377,741,952,905,155,461,984,392,027,623,544,451,278,407,241,063,751,
491,429,262,504,342,175,148,507,334,678,243,229,813,422,604,608,160,569,488,
441,551,153,136,364,514,078,569,829,453,247,793,950,128,071,492,608,153,286,
453,839,812,030,340,205,529,836,811,726,423,086,299,379,585,541,191,960,430,
464,412,033,583,888,128,743,360,190,355,327,815,439,361,966,020,926,865,401,
791,430,169,905,108,045,333,571,504,313,063,113,634,365,751,252,762,554,757,
209,615,198,309,245,413,071,966,894,530,110,641,512,542,041,371,803,962,917,
614,868,315,122,324,810,432,712,841,910,581,090,166,710,533,995,391,425,520,
215,459,204,255,896,414,479,339,160,027,042,947,617,491,505,005,928,117,772,
242,813,780,954,057,765,808,154,141,027,715,641,786,801,710,390,159,364,803,
617,806,579,750,408,073,926,126,922,422,455,581,756,620,063,125,572,237,294,
813,828,905,179,728,476,158,405,440,086,684,568,695,915,717,032,956,194,591,
465,200,860,481,533,109,425,365,624,999,781,007,394,129,684,091,331,070,254,
800,122,581,040,861,559,776,821,520,154,793,963,641,273,269,962,457,186,654,
352,486,063,693,358,591,863,124,017,259,178,339,850,981,449,720,632,782,959,
761,826,976,070,758,163,110,712,034,948,005,970,492,782,803,488,224,712,561,
258,372,415,445,434,707,162,087,622,562,229,741,370,443,330,263,167,561,447,
879,643,149,224,627,224,153,448,423,396,094,808,468,424,374,454,984,312,278,
485,020,137,854,403,235,776,752,941,281,863,687,417,339,870,948,947,145,799,
442,357,702,308,651,546,597,088,232,664,094,058,925,974,402,825,916,140,463,
748,034,753,702,020,520,547,421,050,976,655,332,355,119,418,100,075,411,134,
573,525,077,246,425,139,632,902,894,307,920,686,052,192,229,612,198,751,989,
584,419,914,643,825,022,710,424,155,442,661,824,003,399,543,737,057,456,597,
218,676,860,195,152,330,626,693,052,741,919,878,209,337,525,578,904,036,999,
612,629,743,466,101,879,217,192,145,498,045,455,193,109,123,184,845,705,313,
858,210,690,284,069,841,716,305,922,633,883,210,330,732,025,886,945,978,409,
660,089,274,296,828,984,685,006,048,941,037,962,593,167,889,370,412,124,500,
623,149,309,650,351,940,485,508,431,336,278,393,930,392,092,492,125,995,109,
182,612,739,419,288,648,444,530,623,997,864,455,105,542,235,354,529,132,357,
074,243,120,315,640,321,511,474,578,782,948,145,589,061,602,084,524,552,175,
283,734,948,970,733,935,102,421,627,704,951,560,240,493,502,700,399,958,983,
354,530,560,203,429,379,248,547,297,039,500,225,400,737,499,044,137,506,743,
594,626,692,429,143,691,985,592,988,569,189,654,287,593,543,741,906,332,412,
137,658,142,904,257,797,791,442,847,578,223,215,986,165,131,059,981,426,671,
632,705,891,022,494,069,811,667,717,920,995,379,075,893,724,892,666,455,945,
417,640,941,314,812,868,283,317,105,237,799,820,072,164,631,138,846,652,842,
731,112,461,395,809,870,917,607,097,950,562,092,132,387,090,050,427,999,289,
830,552,384,667,605,806,568,279,553,651,322,100,684,522,222,321,363,319,112,
846,097,438,064,023,408,817,207,862,801,452,500,575,265,726,348,136,020,461,
957,048,839,051,338,901,847,323,944,911,878,557,258,544,926,429,611,279,274,
080,910,271,472,280,019,964,790,896,216,081,601,677,709,889,894,446,705,674,
768,106,903,622,869,757,532,117,686,485,582,410,792,923,138,633,393,764,760,
832,545,137,831,290,002,314,319,670,867,157,202,138,026,427,029,165,122,010,
590,682,314,277,878,025,021,775,027,591,501,101,017,741,468,640,987,929,318,
512,915,108,764,077,941,234,182,718,673,294,737,869,160,863,875,138,578,384,
821,064,738,350,669,036,918,785,797,118,477,925,482,553,609,123,680,293,957,
637,194,862,642,821,614,255,520,119,686,445,490,973,397,369,578,926,363,194,
204,627,060,857,480,238,741,941,523,368,931,474,489,971,711,904,141,730,537,
080,364,649,759,812,693,759,619,645,156,392,698,378,767,170,978,392,175,308,
622,061,446,953,245,978,319,826,657,309,488,712,423,125,937,027,781,178,596,
820,585,566,518,722,730,753,355,725,470,339,265,018,243,355,885,603,649,435,
508,820,058,377,828,928,237,461,468,032,109,463,373,869,850,248,007,226,331,
592,300,768,016,025,774,332,744,839,940,056,230,512,033,456,659,870,270,394,
989,550,335,253,143,287,186,158,605,387,047,047,776,293,144,858,310,257,429,
700,647,018,505,710,777,130,699,622,279,887,279,619,996,786,951,448,046,446,
762,894,862,840,518,132,926,917,396,273,556,040,800,607,318,056,043,817,140,
169,257,125,964,001,441,046,263,817,610,044,377,528,727,783,420,945,437,422,
902,192,531,044,892,082,488,597,860,381,589,171,706,066,147,116,104,776,647,
073,941,616,063,851,969,441,802,695,601,449,881,574,485,605,775,099,754,872,
590,778,501,046,337,133,603,339,857,071,330,571,577,719,813,784,863,779,792,
935,451,132,039,722,831,784,363,382,818,033,821,646,179,472,199,988,576,061,
087,520,406,264,260,028,500,666,717,253,575,207,796,294,558,638,725,787,489,
841,558,265,953,739,746,154,924,764,740,284,280,640,801,041,167,705,245,929,
609,758,073,008,748,216,686,874,472,293,928,259,014,110,692,936,426,824,469,
252,269,353,806,543,473,678,895,731,549,959,992,441,067,713,220,216,153,119,
728,789,670,343,811,808,382,218,563,810,708,194,669,155,176,078,634,557,338,
640,403,138,439,192,497,487,885,565,857,498,620,928,804,091,615,557,195,579,
582,197,691,260,075,407,688,434,560,547,341,148,172,571,086,134,940,786,660,
449,545,357,503,588,480,973,586,772,738,989,111,265,008,489,056,281,985,571,
141,006,828,391,115,489,582,520,044,122,345,261,128,615,794,620,788,403,609,
610,828,937,761,694,389,928,261,929,687,627,544,011,034,785,847,600,944,071,
210,668,954,977,326,816,240,786,918,064,586,045,091,669,944,351,943,246,755,
404,997,484,495,531,137,827,512,517,861,699,983,434,856,393,170,949,895,012,
426,206,085,141,880,717,924,158,551,837,782,489,284,290,114,928,350,774,989,
645,660,345,691,302,921,066,995,558,339,328,809,180,863,433,080,743,607,942,
690,020,282,176,523,134,900,511,358,008,088,090,939,152,237,892,679,886,684,
598,872,136,559,228,010,594,983,611,192,529,251,820,701,646,125,370,554,174,
067,532,570,956,507,310,843,572,956,318,051,553,530,294,785,298,762,024,959,
966,932,538,241,567,784,033,023,227,522,904,226,796,305,603,366,640,874,705,
306,558,299,355,745,408,399,219,400,243,064,474,221,683,100,216,663,222,276,
753,351,969,403,286,765,210,256,498,465,840,322,888,717,950,727,917,395,672,
500,449,924,286,104,974,977,712,011,662,125,503,801,276,754,717,068,889,744,
881,161,662,779,328,003,687,180,929,523,157,470,921,007,590,880,279,549,048,
432,623,259,093,327,052,649,308,970,722,068,319,841,586,629,322,971,193,947,
400,255,732,257,662,513,704,147,040,555,322,790,196,736,048,850,946,607,725,
999,583,782,701,453,729,975,114,572,527,069,470,151,816,843,270,541,870,760,
685,069,069,690,251,333,878,287,838,340,794,781,295,618,760,234,582,782,378,
454,390,810,022,727,762,708,396,533,784,129,746,245,540,582,298,419,301,438,
164,145,193,845,243,942,927,282,847,242,472,016,848,991,348,078,737,901,780,
079,376,081,702,760,221,391,767,311,730,484,664,618,579,385,680,196,629,378,
770,046,728,728,061,511,549,387,708,626,965,709,020,751,551,495,100,419,018,
364,485,148,755,722,797,642,587,706,399,817,883,284,239,326,831,146,927,329,
706,910,222,272,294,606,972,617,790,029,361,790,160,226,577,686,433,802,540,
203,618,695,255,317,203,521,124,591,737,756,597,983,691,135,686,509,109,420,
680,905,680,597,464,355,512,555,735,775,821,823,200,698,713,525,838,545,710,
405,610,796,231,513,153,105,580,512,098,859,321,122,399,139,977,382,921,063,
238,840,797,931,499,554,430,779,125,775,478,410,005,023,661,352,760,149,687,
176,843,678,357,222,369,751,886,611,169,083,713,881,361,230,831,896,890,185,
054,800,071,436,742,755,858,283,771,333,668,054,179,650,590,901,053,682,580,
777,688,785,734,592,149,348,295,599,593,355,188,752,937,922,698,842,419,242,
348,758,062,496,333,761,640,305,162,568,617,083,907,153,997,426,055,641,547,
330,788,985,351,599,774,091,277,654,163,885,707,795,783,055,613,862,830,295,
816,333,015,970,365,559,088,645,309,111,523,017,948,475,177,610,610,034,362,
250,066,262,455,932,830,303,859,152,048,749,021,177,169,823,280,829,697,752,
996,285,019,614,373,094,755,670,389,365,488,128,112,042,132,571,340,327,803,
777,650,229,775,671,572,543,990,787,379,622,420,467,575,738,133,768,484,574,
728,728,205,525,195,126,848,681,209,739,092,408,778,910,951,903,305,163,451,
086,268,650,209,747,410,794,532,636,471,458,498,587,170,204,825,455,246,632,
004,187,322,828,190,201,965,710,370,652,364,364,881,339,750,849,552,600,440,
099,074,452,825,835,445,856,310,802,359,611,845,576,123,900,518,275,331,835,
727,843,663,770,946,472,870,659,236,879,761,381,875,425,517,450,310,827,534,
789,749,375,392,739,467,191,231,216,020,585,767,150,332,268,717,469,982,059,
118,212,843,909,400,342,717,256,876,322,993,809,646,942,167,335,930,645,348,
045,268,681,615,045,556,032,244,498,037,954,682,485,153,504,727,546,995,689,
864,206,760,584,571,573,405,741,515,146,625,750,670,222,257,100,916,431,875,
902,361,297,699,197,831,601,838,351,680,241,888,825,843,996,811,420,845,615,
354,524,118,672,527,037,363,859,052,480,858,058,868,484,029,907,717,390,907,
129,439,172,211,443,964,254,543,866,550,794,774,813,664,572,670,018,822,454,
420,628,945,427,669,567,709,521,654,441,855,096,496,663,119,714,748,553,529,
474,450,845,090,117,108,461,845,153,241,801,235,420,061,103,470,278,500,908,
820,575,691,569,674,831,609,943,218,376,964,587,146,193,276,136,713,742,481,
555,773,572,258,881,915,654,589,890,874,511,868,615,432,543,249,409,392,768,
667,166,310,393,555,557,961,790,000,395,667,924,821,080,825,751,750,971,818,
900,196,006,535,957,287,292,386,710,495,289,325,283,224,154,530,186,216,235,
339,905,318,457,644,392,658,335,912,041,855,746,055,447,448,278,120,419,144,
799,849,349,713,046,053,811,386,005,816,619,905,581,396,490,393,307,044,307,
737,283,273,594,326,271,927,032,656,468,503,648,406,578,119,044,839,179,583,
254,391,556,211,720,570,952,329,486,095,268,066,649,143,880,143,445,207,147,
873,603,593,885,290,131,324,377,563,130,337,429,073,358,823,212,420,197,342,
608,101,622,679,831,787,772,701,521,364,256,263,451,282,288,637,812,463,982,
370,948,467,457,865,883,332,130,326,860,839,074,791,600,347,811,282,272,436,
178,011,408,560,004,655,850,098,704,042,703,458,879,636,313,670,979,064,993,
843,626,789,149,380,610,805,646,728,944,419,148,459,667,910,780,331,756,840,
497,986,984,191,887,198,210,751,122,649,548,902,830,348,521,152,070,845,139,
358,262,218,224,705,439,183,942,282,324,846,465,487,485,200,042,657,541,671,
896,296,588,617,127,083,045,387,808,840,385,844,587,794,162,761,635,534,230,
926,241,635,768,729,439,542,224,983,862,473,467,436,219,246,177,877,325,662,
162,508,785,702,903,689,928,307,950,114,074,643,266,585,287,518,955,796,882,
635,767,895,045,532,173,356,873,610,990,819,690,224,860,467,069,953,961,096,
751,156,789,230,618,780,139,069,698,192,351,769,612,690,729,123,383,271,416,
583,848,164,554,758,835,536,549,064,312,333,433,390,375,152,058,385,017,672,
072,925,390,790,566,643,318,834,595,529,474,310,511,905,723,806,819,504,534,
549,074,370,091,928,271,256,907,095,308,284,084,019,131,529,291,893,882,328,
282,543,229,066,079,314,221,157,131,431,566,370,356,598,124,118,240,904,165,
908,834,916,871,661,408,393,964,113,929,963,603,356,800,313,996,561,976,546,
483,779,856,728,955,844,971,604,459,527,632,842,872,308,884,946,166,275,823,
002,334,184,006,839,944,013,849,879,271,155,815,024,589,799,693,677,926,009,
650,936,133,204,545,064,964,604,334,798,182,691,775,935,292,244,922,479,782,
531,910,005,320,580,567,129,195,416,239,052,991,738,786,265,993,672,748,373,
287,593,205,466,401,895,796,395,795,008,052,784,612,014,027,844,101,981,319,
133,977,370,026,721,008,313,779,132,781,765,625,939,675,261,994,138,515,902,
493,420,418,305,949,557,501,110,939,400,819,348,567,058,769,813,383,083,741,
434,614,497,586,630,826,397,047,431,506,791,819,992,388,045,746,667,832,867,
180,764,407,508,120,140,188,716,692,574,815,476,960,279,193,994,694,389,953,
464,601,019,376,350,821,796,181,322,149,908,028,775,801,278,298,400,448,125,
084,097,574,278,256,325,384,153,104,674,618,507,308,499,444,202,558,045,775,
161,178,432,067,770,645,404,826,512,828,954,863,490,700,441,465,897,350,840,
263,866,798,856,851,270,575,361,507,952,317,820,713,817,310,423,606,606,006,
390,010,935,096,466,110,098,397,882,148,454,906,492,647,517,900,760,694,144,
010,429,989,623,058,983,886,887,345,001,239,752,924,147,416,467,341,384,544,
007,419,837,443,004,345,732,730,917,691,641,192,721,982,912,724,718,390,112,
730,117,058,248,069,346,118,640,712,251,348,955,961,745,989,492,192,398,346,
276,412,423,062,348,238,130,231,390,469,058,909,620,641,408,748,974,305,192,
720,486,268,634,727,001,006,180,470,188,344,297,190,255,641,191,003,163,521,
665,520,889,350,769,289,730,131,785,735,688,705,635,483,939,719,017,361,729,
852,559,887,126,937,646,663,705,169,877,125,545,206,206,882,297,830,000,256,
061,264,780,728,202,417,880,274,577,434,186,273,492,413,741,257,557,523,328,
853,358,104,813,413,559,827,918,886,462,066,800,845,267,565,306,020,575,743,
536,166,331,271,736,948,850,474,664,437,298,581,126,881,902,570,121,338,072,
706,252,637,356,608,995,265,440,851,812,304,309,134,474,225,054,260,563,295,
135,503,232,100,623,990,479,270,684,833,855,155,718,969,083,405,001,400,290,
373,556,218,502,826,014,428,870,845,590,210,295,356,695,099,849,280,108,449,
964,305,399,152,862,775,185,311,071,637,452,084,836,759,681,295,307,025,751,
834,831,773,376,710,766,130,587,713,892,351,767,463,455,730,461,886,057,813,
156,034,852,705,386,669,849,220,812,683,798,156,987,143,542,910,114,380,675,
596,314,267,818,580,524,703,071,145,450,717,352,719,757,897,853,132,499,686,
497,944,901,477,146,136,754,089,244,421,750,074,802,554,474,362,481,237,741,
579,860,288,608,599,398,870,899,404,356,908,345,477,695,940,424,066,833,528,
270,384,520,189,419,907,819,308,102,195,886,307,736,384,969,133,201,206,676,
346,757,434,463,033,168,021,492,663,196,941,005,543,049,268,168,488,568,889,
039,099,655,566,662,644,522,703,417,588,866,127,359,838,065,613,692,610,396,
650,156,434,743,736,858,600,406,393,755,995,093,339,107,458,229,023,922,462,
751,992,354,019,812,431,076,349,990,994,747,289,890,253,087,512,372,998,022,
834,670,091,254,641,219,097,710,390,470,612,558,551,635,662,128,872,243,693,
567,645,397,712,996,559,539,959,429,110,588,144,648,411,063,048,634,247,758,
738,481,486,934,888,833,682,914,877,907,042,942,995,878,126,068,600,278,602,
958,955,047,736,670,441,250,784,748,290,306,266,626,675,336,621,686,769,754,
759,688,147,443,766,969,881,185,921,852,200,252,896,175,684,847,691,802,170,
750,029,450,731,287,417,590,076,813,936,931,293,920,012,498,034,692,817,347,
960,206,106,008,347,472,338,398,935,772,665,091,318,123,337,057,167,272,071,
640,205,170,720,277,525,975,445,628,120,913,226,688,634,772,951,480,344,877,
911,158,467,171,681,442,392,826,584,679,854,395,139,318,006,438,126,265,828,
162,988,817,109,222,718,551,184,924,314,376,581,295,628,875,693,721,133,750,
054,745,047,754,531,280,066,952,948,720,026,828,537,419,201,151,129,068,442,
134,005,921,049,913,286,914,098,422,908,222,380,231,464,197,075,109,319,892,
024,463,547,526,642,164,036,261,047,366,895,833,332,335,872,198,145,813,836,
611,107,591,153,706,731,645,233,757,093,383,243,344,639,558,534,963,339,368,
907,843,893,407,894,484,974,841,375,600,140,148,537,703,695,881,713,303,742,
892,467,373,414,323,483,468,312,866,532,780,402,619,223,858,194,793,828,846,
555,342,270,014,425,667,629,884,703,971,358,318,944,928,777,450,218,331,172,
957,888,381,266,647,052,988,147,661,427,767,253,720,314,509,988,750,762,911,
935,943,425,918,666,525,132,989,377,540,188,902,197,043,841,778,920,152,430,
094,982,151,632,513,752,107,660,864,469,753,746,542,789,654,521,146,923,317,
836,131,704,222,428,177,126,753,219,951,721,690,681,561,142,684,284,912,338,
386,970,027,607,342,647,875,284,949,442,201,008,678,889,117,281,999,714,692,
695,636,571,508,359,208,441,996,726,515,300,063,817,412,777,132,294,701,755,
015,954,633,000,130,660,046,532,404,530,877,678,116,058,156,645,344,288,273,
692,036,573,570,032,231,677,102,367,207,620,575,750,870,344,569,362,845,587,
476,160,021,340,126,914,475,436,378,022,430,347,428,476,927,951,802,309,688,
320,320,632,646,953,420,182,931,492,682,283,445,443,321,331,333,689,319,537,
715,779,333,069,670,494,144,312,231,285,535,797,509,561,087,207,746,116,640,
934,449,620,485,415,747,186,435,697,266,668,081,745,527,069,983,399,587,126,
313,058,852,438,473,691,856,290,368,542,052,340,671,943,608,566,307,203,046,
507,473,805,743,990,748,245,401,860,769,384,560,830,060,134,687,468,949,936,
213,111,565,194,443,585,390,011,621,709,210,767,776,120,060,753,630,485,804,
176,103,372,782,159,776,421,586,594,142,579,221,883,898,207,046,552,829,759,
255,742,258,212,306,440,942,124,848,380,241,775,864,811,918,737,166,527,591,
628,238,870,176,015,331,745,029,071,453,728,344,117,820,424,799,226,681,632,
511,347,205,244,648,936,021,204,722,586,793,656,487,036,120,580,415,659,324,
211,093,177,690,263,058,194,252,717,446,588,296,710,557,684,996,005,442,457,
920,196,571,314,508,417,923,577,617,408,359,803,499,739,605,342,828,993,492,
499,979,667,771,831,345,268,279,900,220,369,213,095,779,551,638,197,893,531,
864,038,609,457,495,899,917,283,579,236,224,325,878,902,735,062,202,758,804,
899,098,872,655,410,061,383,126,781,706,038,258,234,203,797,126,092,743,182,
408,190,176,803,667,913,149,436,853,725,067,602,567,580,448,069,379,929,005,
869,672,032,965,731,171,619,447,256,119,075,222,143,704,748,355,013,910,236,
795,566,573,086,016,587,973,764,488,115,887,735,311,460,008,336,229,646,784,
832,276,855,719,235,623,271,768,335,824,920,466,968,731,075,374,826,898,767,
297,153,061,116,664,476,166,072,632,343,260,349,692,013,918,225,568,850,359,
939,809,450,625,452,033,747,169,385,277,840,133,134,634,442,273,033,315,176,
116,842,208,301,102,344,995,010,685,612,463,872,133,367,501,685,652,574,723,
489,303,001,522,390,988,191,466,214,419,663,913,703,426,441,565,379,536,117,
103,929,540,504,102,576,850,527,683,241,106,288,840,118,375,295,068,265,561,
676,581,336,982,252,262,640,339,785,148,832,587,512,878,999,438,440,357,750,
078,313,724,852,043,696,461,077,671,124,365,551,713,226,831,784,792,879,962,
923,138,286,971,501,374,421,867,111,689,746,347,249,588,963,384,024,987,655,
889,284,168,458,153,639,686,643,638,816,506,399,667,789,226,040,243,305,336,
002,394,333,387,036,797,420,961,464,487,470,355,402,030,769,909,331,492,272,
856,437,288,987,068,255,908,217,169,379,518,854,857,447,687,414,386,696,389,
012,373,485,825,473,603,869,518,053,602,980,494,573,976,200,104,977,820,422,
510,799,606,195,137,223,159,419,054,698,985,886,197,029,698,137,186,064,613,
368,660,453,986,528,596,379,812,818,810,872,502,756,612,072,665,790,483,000,
669,286,713,852,419,544,922,214,690,192,356,248,052,397,361,724,942,735,002,
902,783,077,917,328,558,280,054,128,181,012,858,097,708,425,275,123,755,761,
199,637,766,924,241,151,713,904,601,074,331,222,794,365,556,827,111,191,299,
975,660,600,186,798,246,100,048,839,864,151,831,234,914,839,756,675,813,708,
771,064,908,108,811,673,205,779,613,278,653,571,406,634,999,655,943,677,285,
970,527,608,378,011,216,558,521,577,073,461,901,394,679,269,905,488,893,338,
177,490,565,482,202,380,132,033,713,029,396,189,236,759,743,148,613,329,524,
812,545,109,939,310,683,776,364,263,980,520,309,860,118,794,284,398,810,088,
902,480,533,513,722,616,408,270,032,684,671,900,664,648,943,865,968,363,793,
695,745,863,504,103,675,284,686,857,056,643,507,637,985,764,177,640,560,757,
869,902,341,524,073,590,557,921,499,631,180,633,448,093,128,781,848,380,130,
887,228,831,627,470,344,381,801,527,640,731,991,579,598,949,830,598,710,924,
193,627,317,859,042,906,836,125,033,864,699,589,148,985,609,863,855,164,990,
491,683,556,324,363,515,572,634,548,291,374,815,542,363,506,892,616,939,731,
992,273,373,228,149,352,958,888,269,476,860,101,414,899,236,091,791,590,067,
500,593,862,586,014,222,695,821,828,982,394,038,260,788,329,941,362,559,124,
270,557,502,841,032,040,513,632,176,006,023,530,432,093,696,179,678,245,444,
377,941,011,923,869,709,174,004,465,988,596,219,037,936,478,796,715,125,510,
759,423,528,242,185,196,442,462,442,697,560,799,694,767,685,817,729,516,423,
176,513,046,370,561,362,626,161,200,194,060,928,553,899,108,561,386,808,338,
992,946,313,753,876,455,559,594,151,302,477,413,079,961,894,204,591,573,908,
997,528,043,374,253,830,818,340,609,674,076,632,981,532,664,273,344,021,504,
349,392,653,068,546,178,403,721,888,678,643,780,639,364,066,388,553,346,701,
202,129,944,651,461,457,511,190,981,139,005,090,611,422,671,824,656,937,353,
260,494,751,375,312,698,326,599,533,721,266,165,340,817,879,154,144,878,134,
319,200,877,417,644,308,402,921,205,643,862,364,257,309,659,783,171,140,505,
421,833,579,435,062,953,628,474,762,850,598,270,660,823,287,857,604,781,372,
878,382,143,688,345,857,005,664,465,200,505,323,763,571,176,546,984,375,846,
110,655,768,321,258,554,353,088,630,109,796,289,144,696,636,865,133,175,785,
326,617,830,338,227,507,189,046,515,481,401,439,714,746,718,308,282,688,594,
722,297,533,606,248,492,384,178,499,448,307,200,072,440,832,747,504,037,040,
953,703,842,086,921,832,521,074,441,583,057,992,222,593,370,140,021,307,826,
283,170,793,367,229,395,442,689,070,906,885,718,269,535,208,692,982,982,711,
562,701,073,534,955,520,858,291,203,613,264,423,285,840,075,651,286,422,655,
813,656,480,115,366,949,306,474,622,704,180,830,841,659,168,162,223,452,875,
542,985,729,933,675,641,321,270,522,671,732,935,549,933,011,815,119,289,764,
436,692,156,394,399,477,315,768,028,607,721,117,425,556,160,255,032,344,380,
031,792,080,872,924,649,865,264,831,633,100,311,879,742,357,792,501,139,321,
170,541,690,298,245,060,128,924,151,695,951,969,447,422,915,981,882,595,779,
099,928,523,224,934,630,839,068,460,024,186,664,183,809,016,326,709,910,021,
979,537,258,352,008,668,652,888,367,043,680,376,183,155,133,041,502,424,326,
281,752,309,133,237,066,383,226,288,389,224,438,915,008,822,942,303,812,214,
887,920,518,463,058,588,089,058,014,595,672,962,267,534,979,017,478,299,025,
841,207,852,563,156,914,318,691,503,361,241,368,815,002,694,575,618,301,236,
605,088,305,212,686,948,655,203,592,167,163,024,467,030,543,101,300,685,802,
989,033,120,838,739,036,275,635,654,095,461,756,671,964,424,616,098,880,331,
251,093,072,792,530,755,713,515,363,867,526,580,417,557,029,312,741,523,305,
876,341,188,061,818,817,403,258,391,301,642,452,176,669,972,077,448,516,585,
787,364,360,528,239,124,044,866,475,915,993,106,828,077,177,068,219,857,000,
025,127,620,843,489,195,214,160,945,010,524,965,520,958,746,351,135,314,792,
829,569,332,729,587,986,316,690,925,870,052,497,180,187,320,688,244,662,408,
285,808,509,664,429,321,906,302,999,429,210,619,809,493,833,658,520,808,532,
920,582,095,866,517,112,600,564,447,834,139,342,807,283,460,266,776,838,559,
970,047,595,557,692,218,775,018,833,289,538,554,144,951,126,901,970,954,968,
966,613,755,985,321,457,091,516,360,912,663,596,628,233,087,503,356,574,322,
199,981,331,534,856,896,409,012,265,824,376,183,534,374,479,363,265,764,398,
472,773,690,593,553,408,445,572,339,047,584,460,578,730,350,854,733,310,821,
639,197,369,893,084,224,296,908,124,513,120,946,241,936,010,924,078,162,869,
297,828,529,927,995,626,030,947,747,889,899,867,031,560,237,785,962,048,985,
038,039,629,083,540,596,947,907,639,670,622,270,424,133,157,282,260,566,464,
343,475,738,219,094,223,307,618,341,679,636,570,187,181,485,276,323,225,463,
730,283,293,675,143,470,029,911,389,864,504,762,599,654,336,092,619,466,542,
997,101,656,770,235,807,995,337,893,412,122,225,481,752,274,181,757,554,249,
679,340,239,418,518,266,316,291,807,030,063,003,392,432,721,110,441,480,490,
830,026,925,264,195,292,376,456,274,391,563,825,951,698,616,609,223,409,817,
448,603,102,651,992,519,805,841,726,365,463,761,618,577,509,688,306,159,623,
068,465,438,752,673,367,019,182,556,714,222,704,242,163,350,644,752,818,919,
760,866,731,199,010,390,955,858,455,838,011,257,786,063,213,498,510,478,614,
832,739,798,534,798,120,014,350,688,531,007,173,968,746,647,452,956,941,869,
216,701,398,928,918,164,218,487,385,988,010,848,610,662,773,926,934,696,638,
646,020,602,705,242,842,729,292,076,926,689,560,980,137,305,006,075,131,313,
768,507,549,412,012,130,732,366,588,108,280,700,904,105,535,395,995,310,594,
603,578,336,523,227,190,566,348,838,874,096,323,860,201,839,014,030,163,965,
244,837,228,676,365,573,087,963,839,013,872,253,665,853,197,779,265,575,744,
024,750,518,868,566,798,734,508,910,179,274,419,896,822,623,247,672,901,114,
034,866,999,106,843,568,862,260,150,196,928,940,325,160,339,974,369,254,376,
216,052,551,050,473,841,260,694,284,640,472,922,328,554,729,510,359,586,318,
931,078,136,901,247,194,998,189,708,767,699,593,129,155,146,659,874,154,976,
001,510,735,882,144,326,370,686,426,740,689,748,408,312,118,160,293,626,902,
931,317,852,226,981,820,683,931,440,365,452,595,993,400,777,993,808,127,196,
802,645,534,380,981,295,161,287,645,801,385,823,278,689,270,181,956,568,125,
133,301,365,403,528,341,829,058,194,784,204,818,977,099,865,141,613,798,436,
654,310,861,046,861,851,115,748,394,334,177,427,849,985,236,808,990,555,263,
690,596,892,622,239,769,537,109,771,078,805,170,605,768,333,407,566,349,510,
865,934,006,616,604,877,273,829,114,122,821,384,296,213,637,600,269,838,859,
271,325,979,189,180,189,747,866,920,157,548,439,658,841,334,685,093,865,814,
450,642,983,296,616,712,713,562,123,916,746,155,184,443,804,915,001,604,668,
935,952,770,459,546,769,435,447,020,915,301,834,291,477,417,679,740,758,495,
035,202,681,663,288,335,221,831,375,436,950,945,093,450,055,478,166,676,346,
523,485,106,645,796,083,259,280,571,250,703,492,730,897,692,619,787,351,419,
314,870,366,762,129,442,884,890,886,473,047,094,676,184,156,537,055,396,724,
185,869,079,254,173,343,100,269,542,839,433,197,253,921,050,490,122,504,092,
050,608,858,871,165,696,716,701,782,025,053,746,814,231,098,485,979,695,419,
218,346,167,819,374,719,131,764,901,770,826,337,234,963,326,992,759,181,676,
737,012,584,282,380,593,096,373,648,680,343,376,854,241,910,765,291,088,618,
708,289,323,836,546,078,346,479,986,555,263,140,747,507,652,839,588,618,508,
395,381,320,497,049,163,050,811,673,348,875,883,030,779,175,638,899,733,516,
109,031,759,078,412,021,060,235,623,520,401,628,113,405,338,079,460,899,546,
756,341,252,489,581,008,797,358,294,595,534,353,982,334,291,798,993,948,362,
132,996,247,878,495,909,736,239,048,220,871,968,989,101,577,162,918,518,632,
365,765,484,197,278,894,351,336,923,414,695,620,368,312,956,481,386,681,842,
439,389,067,674,101,306,338,029,209,987,834,019,416,730,435,386,784,294,641,
136,256,622,183,036,057,477,335,393,510,659,854,510,804,098,572,164,204,767,
420,746,849,252,271,105,750,701,294,659,529,360,647,287,275,525,732,365,030,
250,874,284,665,117,548,917,373,265,614,118,602,537,838,602,457,276,638,139,
894,370,131,451,159,705,241,765,318,666,028,731,167,907,893,401,183,116,342,
563,185,411,560,848,069,243,200,293,041,034,170,165,177,552,647,636,523,059,
806,704,255,498,373,020,426,589,734,144,562,151,495,913,247,439,444,591,066,
159,707,107,245,487,413,857,294,600,021,521,558,935,266,405,625,829,228,196,
851,465,668,927,917,498,710,703,604,822,061,836,516,689,936,886,029,604,529,
484,079,071,168,948,160,371,029,913,827,018,479,131,215,312,661,943,243,135,
932,784,820,626,898,327,153,320,917,984,201,489,441,176,216,800,599,400,254,
029,490,620,195,215,556,660,817,778,191,974,427,119,828,011,991,943,520,975,
591,348,996,678,961,675,746,377,469,630,052,583,051,290,852,695,920,044,183,
892,206,803,444,614,696,573,271,526,637,228,798,486,378,885,925,321,245,323,
769,479,621,536,708,032,819,976,263,067,283,729,478,418,055,741,422,669,229,
784,952,028,286,872,979,098,337,668,770,467,076,635,808,254,887,673,699,758,
688,400,537,359,835,204,046,035,227,377,455,411,222,959,608,156,656,109,189,
514,140,908,158,204,487,289,359,793,478,507,893,410,696,602,612,659,548,923,
000,388,674,324,228,034,478,446,106,433,900,040,805,563,247,975,936,047,576,
934,156,563,670,912,837,394,404,511,099,425,170,077,805,684,157,567,099,431,
564,114,913,049,025,572,478,663,462,128,298,107,110,598,137,128,657,106,666,
117,422,575,662,405,888,731,385,293,061,340,155,263,541,711,808,302,804,681,
562,512,965,313,546,488,841,785,644,934,153,211,206,359,958,493,553,383,515,
408,730,856,831,552,635,674,616,598,186,950,742,890,158,850,122,518,406,931,
035,799,467,505,041,726,946,745,947,315,443,850,248,335,694,997,654,071,710,
542,282,918,655,675,906,864,604,113,851,722,091,132,322,872,021,331,372,444,
441,761,741,258,224,446,917,343,312,108,441,292,507,127,697,869,308,289,272,
236,492,658,408,147,113,557,810,397,363,069,191,104,799,648,593,044,351,856,
832,786,533,310,980,785,115,107,958,856,584,575,878,075,586,796,697,494,732,
191,118,340,624,008,927,416,209,420,120,964,420,817,529,351,782,548,648,826,
560,750,440,379,838,615,330,928,012,257,592,847,001,071,765,600,947,337,707,
006,973,906,185,227,992,005,602,708,331,185,301,661,692,118,274,252,803,942,
388,581,518,779,059,543,060,601,153,718,171,848,335,531,165,372,595,218,605,
824,624,922,735,579,583,998,773,035,173,742,718,097,534,301,878,647,609,204,
709,231,884,903,230,698,738,697,587,936,928,915,433,467,203,960,502,596,053,
925,562,224,789,517,673,335,813,905,932,067,190,789,591,880,014,148,752,897,
328,258,282,123,393,466,318,100,206,388,455,560,214,020,746,015,646,819,754,
374,265,883,436,615,925,693,519,222,651,406,194,096,931,653,824,398,629,902,
721,696,078,210,697,801,811,101,369,212,832,917,743,518,308,793,455,849,079,
485,286,400,666,181,844,855,796,098,182,154,063,990,034,915,469,104,792,717,
008,719,919,559,074,772,221,980,368,141,006,980,124,927,565,352,452,051,765,
172,795,934,645,097,927,393,267,077,274,828,427,440,980,328,487,548,154,777,
708,274,228,509,236,993,991,542,576,013,262,016,728,198,800,390,906,351,539,
625,888,514,626,111,559,382,675,959,982,503,180,609,249,054,679,427,737,101,
044,254,943,413,594,880,935,374,970,998,552,765,808,427,500,664,908,985,280,
980,369,650,146,347,612,021,752,013,520,639,589,657,214,573,321,034,721,979,
904,871,438,684,137,312,501,441,872,000,567,938,509,695,253,463,243,981,097,
458,895,356,717,946,789,101,238,703,010,599,800,794,049,624,746,453,453,267,
352,957,845,777,594,663,224,740,480,015,863,072,773,561,506,837,468,809,809,
004,171,181,386,958,562,377,462,720,968,644,512,769,103,435,241,487,232,774,
913,635,251,835,649,029,404,554,991,988,458,351,019,668,786,307,636,019,177,
536,916,757,231,665,772,590,704,736,741,741,516,952,733,626,856,664,447,289,
778,411,182,521,107,959,972,739,692,064,835,897,152,888,768,272,099,765,589,
766,720,383,934,244,917,811,743,511,192,852,133,120,190,322,052,175,164,237,
297,563,512,013,464,825,282,384,491,269,729,085,344,686,973,206,436,279,924,
450,714,994,139,268,594,218,265,278,210,212,749,539,151,961,788,674,229,542,
162,303,345,358,777,053,514,068,788,282,079,976,425,364,668,357,330,203,795,
980,457,627,567,098,691,783,131,370,319,929,930,043,887,228,008,260,132,947,
797,231,724,122,705,484,665,442,477,760,591,708,498,370,321,565,702,199,350,
896,820,739,613,253,720,338,276,279,774,197,543,327,276,322,294,550,798,357,
491,189,296,253,798,907,462,873,236,685,110,524,665,184,033,427,639,078,109,
664,099,894,291,088,335,161,288,201,506,517,327,850,786,094,562,109,165,163,
273,972,786,560,817,585,594,085,183,056,879,912,624,589,958,621,456,662,705,
706,122,727,094,636,424,294,587,457,163,519,526,815,110,144,924,072,663,721,
226,329,239,077,811,839,086,487,691,952,546,036,283,144,953,648,656,137,860,
672,047,104,501,906,481,242,557,160,151,860,967,824,402,102,596,850,505,187,
057,439,801,957,005,038,226,776,192,445,619,697,880,321,344,654,420,504,813,
725,921,806,900,429,729,242,670,148,346,733,086,686,219,162,902,615,006,415,
743,582,463,000,656,981,511,380,665,665,984,495,165,538,844,959,198,913,521,
397,295,128,970,591,165,361,012,653,687,910,406,983,476,054,778,925,331,189,
114,143,032,333,324,003,573,119,025,608,917,919,830,346,128,214,556,960,614,
790,369,895,288,612,474,973,176,397,643,338,592,641,622,803,951,295,399,221,
881,026,330,225,766,579,971,728,480,831,203,969,264,040,625,664,481,015,728,
228,168,308,273,841,770,508,681,319,596,581,470,575,276,937,278,019,362,375,
147,104,414,169,290,389,501,873,412,724,015,151,929,606,406,168,470,994,298,
162,199,994,510,919,887,811,821,710,011,942,198,152,835,005,385,498,561,764,
539,127,249,142,665,663,834,211,005,911,954,886,979,746,117,909,702,569,623,
066,848,769,382,713,603,060,286,455,710,801,585,815,399,264,710,482,330,113,
010,123,448,980,804,328,316,872,042,753,107,613,295,828,201,131,932,554,792,
207,441,525,424,483,465,146,080,450,354,761,531,071,460,181,677,513,884,736,
689,561,179,803,281,500,548,083,926,804,183,683,947,131,361,000,926,169,393,
851,973,158,028,622,385,708,183,922,076,159,761,256,563,828,514,892,322,959,
072,631,819,693,163,357,335,835,234,586,063,412,342,890,949,954,592,511,571,
670,580,095,351,636,596,836,518,927,209,761,635,805,421,238,470,726,694,362,
666,118,787,999,924,430,298,296,546,122,631,233,823,673,225,300,875,058,201,
854,462,257,628,344,154,635,922,467,099,173,197,823,717,193,308,393,999,699,
710,034,519,075,834,228,315,281,303,068,334,226,477,423,326,173,871,233,565,
685,080,857,840,825,398,738,672,098,742,325,994,476,978,414,023,189,309,412,
916,780,974,166,223,265,988,071,222,917,146,640,967,127,350,842,357,267,145,
083,300,646,889,751,736,519,589,514,553,935,874,710,423,847,561,035,866,549,
016,719,729,860,299,151,950,893,514,296,635,364,701,386,840,319,056,755,830,
024,647,272,367,977,953,981,303,359,877,394,809,386,421,236,812,875,680,738,
741,789,372,449,616,619,699,682,058,677,498,673,040,594,667,669,999,790,057,
354,696,713,483,204,036,665,026,097,750,130,819,255,981,197,718,238,222,285,
024,028,819,462,091,223,302,438,593,169,699,245,008,789,960,507,192,844,338,
275,205,364,577,754,185,979,555,125,371,257,134,255,409,700,874,875,886,038,
485,315,638,063,381,700,329,380,763,717,379,387,244,332,732,237,527,792,177,
288,881,327,549,427,303,783,026,029,969,534,351,127,494,512,866,186,706,187,
278,544,757,441,731,864,166,729,163,889,151,309,324,119,951,360,685,231,981,
929,197,552,511,347,437,610,047,117,475,858,584,112,319,709,082,578,767,718,
985,547,298,786,344,298,952,371,455,365,788,108,080,828,012,133,493,437,124,
707,504,303,525,815,316,145,598,582,747,927,479,705,709,091,582,642,270,065,
215,570,091,657,915,976,004,726,370,139,228,675,356,413,533,839,855,295,357,
250,378,095,764,214,238,042,523,416,906,975,121,794,789,407,275,683,071,678,
873,243,875,660,604,815,652,268,720,115,344,509,207,602,289,994,990,452,080,
718,154,096,114,068,168,286,139,792,776,046,188,693,142,289,896,685,312,825,
780,912,681,145,790,015,762,702,737,168,810,901,674,231,809,334,914,179,525,
583,631,796,952,912,178,377,680,722,293,954,881,971,099,091,895,050,696,758,
779,813,536,447,617,946,230,461,563,350,231,410,464,387,925,406,478,900,739,
410,579,564,667,484,413,407,985,423,216,581,107,294,045,652,011,914,324,194,
858,149,466,186,716,247,607,054,382,059,392,703,681,582,972,034,982,173,600,
683,019,709,561,721,620,912,800,654,764,323,996,222,072,313,294,824,587,074,
446,262,677,212,169,575,005,014,711,944,684,673,729,993,313,502,448,942,572,
729,594,407,777,605,336,295,706,126,291,285,583,421,329,478,922,304,636,662,
386,229,408,894,066,875,260,037,937,538,680,569,511,246,028,354,140,137,680,
062,049,839,632,173,965,509,726,307,296,382,090,104,529,600,028,887,460,876,
493,420,187,106,197,246,723,677,432,277,320,761,579,382,324,702,915,830,523,
493,256,631,639,333,282,129,354,333,126,917,474,853,751,403,113,158,327,804,
383,170,671,549,749,914,898,126,512,734,809,533,976,468,581,853,981,219,270,
009,618,430,349,043,835,130,165,237,970,764,797,496,038,108,232,792,588,591,
899,967,977,936,497,892,666,872,821,754,523,323,167,761,440,343,072,926,279,
996,149,135,605,746,860,522,836,035,148,131,880,447,207,101,824,006,871,207,
831,213,873,992,706,785,799,322,201,671,725,563,693,569,644,818,618,117,712,
566,840,444,739,637,851,144,734,972,796,141,689,255,441,576,373,670,277,521,
838,066,446,394,064,224,077,264,596,160,009,491,199,487,298,701,019,715,761,
371,515,665,987,991,803,869,397,458,109,413,219,392,142,731,721,105,756,396,
515,487,456,771,401,107,595,855,030,451,439,708,847,543,472,842,901,635,425,
305,120,166,261,938,560,804,032,861,776,434,027,997,500,582,406,799,818,064,
853,824,600,915,759,892,615,011,574,035,746,562,259,048,498,064,458,263,712,
950,763,826,132,048,590,115,609,395,250,620,097,537,713,802,364,286,076,425,
501,764,847,909,200,818,305,873,730,381,323,343,239,632,459,223,319,142,954,
064,898,787,081,622,913,112,522,572,403,974,852,593,639,611,138,149,079,146,
413,956,765,154,323,451,811,522,009,454,726,902,432,311,772,259,333,836,294,
692,679,575,705,687,915,768,892,109,274,119,932,629,008,396,566,090,531,309,
881,232,892,463,938,705,199,686,998,225,758,201,444,973,509,238,651,691,567,
801,498,434,281,540,373,092,505,410,775,258,195,296,700,808,154,973,830,265,
878,582,881,703,101,823,637,075,926,871,300,109,751,649,343,156,663,883,788,
818,265,332,680,440,776,714,451,133,495,367,637,901,311,442,497,900,739,565,
106,020,842,679,043,725,603,606,812,715,708,048,171,208,209,361,946,860,004,
483,141,192,337,336,501,592,046,786,525,458,050,829,060,694,711,031,706,099,
382,750,665,225,974,087,080,691,453,350,561,679,753,766,921,696,318,660,597,
797,310,113,813,990,345,939,116,021,717,147,186,955,443,405,613,377,822,392,
327,070,355,262,853,165,455,208,165,765,618,795,432,319,588,215,448,951,350,
137,733,065,649,659,308,071,107,804,440,490,455,948,524,848,564,216,354,093,
688,781,152,684,354,471,698,528,992,418,665,120,605,558,875,979,110,108,921,
389,206,040,354,679,311,037,379,636,541,639,302,500,884,205,232,845,438,745,
138,975,720,189,378,672,990,397,440,025,133,629,630,046,180,810,773,054,458,
195,188,367,948,136,540,932,204,867,020,372,397,160,714,088,447,714,556,420,
264,491,455,407,060,869,223,753,567,314,953,669,721,167,723,436,283,141,625,
618,091,311,640,419,574,688,564,361,184,288,383,589,003,122,010,572,981,655,
432,391,416,509,495,299,495,322,789,980,635,108,466,180,483,999,450,665,735,
408,795,005,360,750,426,845,701,819,623,387,046,390,282,657,999,822,403,411,
776,717,492,860,046,245,040,517,448,972,376,780,537,671,330,894,151,093,491,
756,447,136,982,841,626,110,950,846,308,131,906,342,165,294,455,023,971,155,
495,620,636,546,218,971,816,237,884,199,865,800,651,406,125,730,120,683,621,
206,198,648,578,036,762,785,183,934,432,057,705,304,283,930,651,577,595,880,
817,724,706,789,753,059,747,799,127,651,237,423,737,848,274,682,230,968,962,
012,268,789,686,268,205,999,669,466,994,436,001,547,561,843,026,028,442,867,
037,921,009,955,578,592,342,072,513,072,877,702,810,679,122,914,576,633,674,
171,529,157,619,583,549,050,186,351,819,272,277,640,641,338,487,444,403,475,
805,168,026,955,404,767,168,330,841,210,691,987,828,231,144,710,399,301,558,
997,694,876,398,072,086,208,846,723,849,297,311,858,644,713,819,742,036,688,
218,154,516,074,816,986,063,764,144,902,072,627,247,083,598,118,425,665,459,
920,879,898,923,634,808,056,211,815,445,379,467,347,461,433,030,153,416,988,
037,457,432,631,558,279,014,775,276,074,889,376,720,280,282,652,733,256,540,
218,277,588,843,131,148,270,026,628,501,624,656,203,980,724,534,400,283,653,
812,185,456,156,371,030,023,663,901,371,947,642,683,127,025,163,686,126,566,
864,266,217,208,659,374,451,204,054,474,196,110,541,290,737,808,635,906,926,
805,584,923,835,403,195,893,041,756,425,180,428,133,765,738,475,346,146,796,
570,100,403,684,377,195,896,918,430,447,039,372,171,174,158,142,925,217,864,
629,975,911,104,777,231,856,006,775,319,977,113,285,247,760,244,564,756,516,
450,323,936,557,927,129,548,496,965,154,747,107,365,964,048,542,600,408,822,
765,650,266,173,962,539,598,349,046,048,384,738,342,857,180,280,184,192,412,
888,908,801,229,190,000,803,294,298,266,534,130,375,284,398,285,094,273,310,
506,612,567,899,502,203,564,723,978,969,443,268,772,416,823,038,141,112,804,
791,282,843,874,405,472,499,456,092,044,408,439,347,828,172,962,300,928,708,
820,161,804,778,614,230,145,106,057,320,872,579,296,150,912,425,470,428,882,
995,589,694,998,881,550,896,124,321,563,070,737,374,282,651,345,597,853,054,
600,179,636,898,419,801,524,444,472,371,513,559,303,259,398,513,260,249,577,
763,488,824,705,977,566,048,294,079,593,029,407,689,224,890,861,987,965,127,
584,197,374,732,947,532,035,350,712,212,678,085,331,136,965,893,735,615,008,
178,264,667,102,509,511,682,618,721,042,280,143,723,476,684,658,512,113,861,
540,352,006,654,347,853,075,236,079,916,071,823,643,681,180,875,248,201,882,
946,076,693,594,187,603,265,020,551,242,069,487,927,670,031,114,805,261,077,
223,774,349,202,533,673,662,938,617,458,006,573,817,236,003,164,720,067,811,
263,440,026,392,650,595,093,390,492,440,566,621,956,469,052,304,918,032,302,
042,499,151,631,548,765,026,479,076,046,536,049,156,147,199,625,786,166,624,
480,628,068,826,590,186,318,018,391,576,894,866,224,605,157,518,561,087,867,
486,928,650,580,472,349,349,685,034,184,314,084,088,579,150,204,375,212,827,
729,035,827,085,830,346,088,812,991,174,311,947,411,238,278,026,019,559,779,
702,160,674,682,449,268,816,877,602,278,540,616,213,523,257,775,517,851,998,
657,621,553,351,647,650,913,943,926,439,541,298,375,898,037,348,653,990,303,
671,176,859,157,124,456,066,799,596,529,665,138,671,721,957,948,371,286,773,
786,317,842,575,244,881,982,268,695,226,127,206,830,353,032,884,351,224,568,
892,621,030,097,583,375,368,422,782,259,695,819,426,569,708,085,874,467,241,
765,871,469,730,324,714,323,172,802,424,478,649,956,481,524,773,803,759,139,
955,285,809,545,834,598,221,769,074,918,444,118,662,990,538,209,768,785,062,
475,683,532,996,841,533,386,725,978,281,782,787,062,653,680,011,246,989,820,
573,991,880,170,791,947,800,352,582,475,379,672,709,878,991,497,358,635,354,
796,580,423,042,344,307,719,600,340,312,987,729,417,958,964,242,290,259,413,
884,716,851,837,792,375,630,806,157,516,706,349,151,308,064,705,733,043,338,
614,152,768,332,946,353,750,159,624,896,290,781,906,985,312,219,982,848,448,
316,147,572,555,235,397,516,647,527,910,039,834,539,869,202,739,399,941,999,
305,562,384,071,199,197,877,728,551,947,703,582,558,579,616,756,451,883,349,
943,631,711,800,494,608,776,322,652,576,515,852,097,298,483,215,553,993,773,
080,670,958,015,122,742,752,888,600,956,934,278,317,562,125,059,956,286,456,
127,878,763,024,679,083,699,112,209,000,959,639,448,524,847,130,842,987,070,
465,236,646,248,940,617,861,594,192,219,815,186,723,073,310,689,602,015,364,
616,995,143,700,672,620,071,165,801,297,878,318,359,064,514,715,269,461,869,
478,774,317,121,856,078,232,754,283,481,808,051,083,432,398,366,692,426,889,
868,932,082,067,462,098,574,087,742,066,145,257,922,351,987,468,310,531,917,
141,342,235,243,058,168,122,225,641,742,167,698,914,298,419,357,154,511,305,
964,819,160,503,855,799,382,407,067,220,925,753,926,289,151,428,630,297,825,
728,194,136,081,570,505,830,185,318,912,354,520,951,790,233,510,342,504,684,
036,917,094,035,281,217,883,297,666,524,719,042,580,471,030,785,052,845,476,
016,010,350,798,363,843,474,169,042,170,660,791,810,960,342,311,653,858,635,
515,496,522,289,735,847,766,942,116,641,850,455,675,676,796,050,895,162,041,
507,428,254,794,061,389,695,664,954,245,330,684,542,823,628,222,660,254,348,
769,328,536,515,623,077,213,864,115,273,644,754,028,734,246,551,594,002,033,
579,073,174,404,546,881,672,330,869,078,738,177,609,806,987,143,425,426,636,
908,770,857,826,506,639,125,852,771,497,691,343,505,492,546,351,490,704,518,
740,462,534,421,107,951,329,021,053,151,386,218,842,734,661,757,860,498,716,
160,026,151,019,023,656,162,717,522,257,549,087,761,302,211,392,015,809,343,
836,262,151,087,301,060,515,638,649,917,250,937,333,058,013,398,929,302,381,
873,353,055,431,602,598,940,408,736,476,697,699,880,840,511,274,010,613,815,
327,261,760,701,756,301,605,857,550,899,610,901,791,118,423,348,784,484,935,
786,904,007,018,883,225,294,681,612,021,546,214,823,480,030,250,274,118,607,
673,819,902,108,751,193,763,823,755,562,640,994,656,461,045,863,295,816,464,
201,289,251,438,588,723,959,726,739,933,935,115,146,232,511,760,203,436,888,
603,233,394,688,762,421,725,279,962,035,461,638,847,733,205,544,761,769,584,
944,269,323,360,205,585,606,269,757,562,119,828,432,105,425,516,158,828,783,
524,351,141,687,337,840,047,169,065,713,735,843,349,801,008,035,346,845,340,
839,613,792,774,933,000,974,269,584,200,128,675,124,483,553,937,581,727,699,
357,430,711,352,822,603,390,168,129,038,875,512,405,063,948,694,961,342,757,
210,525,416,614,677,456,766,845,305,921,713,945,176,077,669,173,606,377,526,
178,994,596,348,606,022,906,073,823,834,337,679,316,325,191,975,950,431,414,
856,621,198,832,456,986,214,497,942,936,586,675,324,211,169,981,599,887,455,
247,257,024,375,041,639,012,648,551,227,982,708,876,182,169,946,764,845,321,
423,854,863,614,543,442,445,755,864,675,925,151,152,145,657,658,489,082,650,
143,829,694,003,515,189,168,272,538,961,423,102,289,802,619,497,411,065,506,
953,768,857,983,061,330,957,762,070,715,948,779,979,095,031,199,753,868,446,
364,541,172,248,253,158,993,827,181,132,929,194,542,330,501,991,184,161,396,
175,036,234,089,466,532,100,815,293,377,010,562,256,662,935,172,474,473,281,
331,796,422,949,334,435,871,581,549,748,356,271,382,199,838,964,919,342,917,
764,268,449,774,181,949,728,467,370,319,176,724,013,995,140,009,939,981,173,
754,007,351,020,182,614,420,358,795,254,065,473,997,529,641,022,513,989,598,
720,768,662,527,440,875,619,536,715,259,607,407,585,118,065,571,798,052,013,
477,732,436,161,020,325,601,490,509,864,169,130,765,227,815,477,950,855,034,
479,390,535,286,991,646,141,968,210,794,901,119,664,233,972,437,934,934,680,
127,527,697,918,389,467,975,816,252,323,403,578,514,455,437,756,787,139,630,
786,290,330,966,719,338,017,123,081,968,627,847,212,143,025,107,754,257,746,
103,251,496,920,616,784,741,964,320,155,979,395,699,576,607,863,236,949,363,
733,295,812,589,274,209,456,127,884,949,276,337,291,957,547,344,013,064,532,
833,727,193,254,864,129,562,051,457,126,319,438,008,037,823,210,483,491,554,
588,159,934,457,949,753,845,704,711,337,046,404,566,777,333,478,112,541,270,
014,374,264,822,029,577,427,419,050,418,710,249,964,953,730,097,728,280,882,
841,947,699,134,679,252,367,477,907,907,697,133,874,646,891,623,174,166,375,
730,633,640,803,582,369,830,614,446,672,017,105,912,959,954,893,368,441,544,
726,756,992,013,375,330,791,401,971,006,749,339,918,865,908,787,225,479,889,
446,612,312,646,530,176,565,841,799,506,921,615,036,494,554,515,248,482,387,
490,655,130,291,133,532,505,428,221,483,886,673,040,000,166,727,882,899,877,
272,388,754,658,470,956,008,192,607,582,621,243,547,071,625,072,405,751,613,
986,051,095,463,236,461,571,788,404,586,979,902,175,606,024,367,349,401,130,
350,176,999,848,270,917,857,331,943,198,188,813,247,155,807,064,584,354,101,
353,759,564,809,281,320,926,143,138,175,080,290,158,787,970,771,541,285,475,
951,208,115,519,423,961,073,972,068,573,928,340,019,036,375,403,628,308,705,
682,756,735,413,537,993,144,814,834,139,662,229,248,957,727,551,551,610,252,
749,748,978,838,075,417,827,530,224,785,066,793,815,413,503,485,596,611,807,
933,414,811,608,375,042,321,846,994,116,531,507,670,951,184,383,762,861,564,
651,651,029,404,641,660,772,862,460,011,480,339,270,839,835,456,913,491,652,
225,295,084,295,553,160,088,475,956,104,620,404,128,687,112,685,184,065,879,
709,736,757,864,565,616,681,606,359,113,011,384,003,249,199,004,414,111,528,
772,722,266,454,118,651,071,760,864,283,412,348,895,952,704,322,448,945,981,
256,585,739,415,304,897,629,245,850,192,620,819,028,836,880,174,745,849,506,
170,907,342,228,033,322,665,230,561,791,397,052,517,057,204,417,630,799,156,
539,100,522,125,674,607,892,439,100,585,353,248,020,641,633,609,919,625,979,
730,526,094,241,119,398,848,374,507,328,879,883,223,426,077,306,844,998,713,
857,223,964,770,003,107,687,640,325,092,506,997,372,559,160,684,802,552,600,
625,534,473,686,891,363,448,712,369,848,570,770,781,184,587,715,143,427,154,
989,646,390,918,416,068,524,442,636,903,139,480,219,716,122,596,514,853,899,
906,998,320,825,038,797,464,612,734,950,719,128,068,216,740,652,308,732,777,
317,452,010,350,166,445,017,050,080,618,286,496,179,919,004,710,177,467,405,
683,379,458,619,483,123,142,382,739,302,298,962,798,171,289,524,651,469,344,
388,128,692,913,496,131,359,395,359,579,539,256,697,406,055,078,601,024,149,
774,000,808,344,283,729,965,864,320,618,566,187,323,584,968,350,573,036,540,
946,431,441,183,998,736,384,630,068,198,670,912,357,658,085,923,271,103,707,
481,237,747,541,321,087,384,012,916,127,400,843,647,217,936,564,677,119,671,
178,035,650,896,597,976,170,501,380,641,671,325,600,738,111,603,429,456,658,
123,008,989,055,165,286,506,350,021,722,152,595,895,009,121,817,023,815,170,
438,404,737,855,814,903,855,773,623,383,357,824,764,660,361,032,065,000,465,
858,099,766,590,077,566,857,610,651,352,863,328,961,017,146,659,673,026,405,
603,505,543,527,045,569,989,332,617,209,024,027,776,136,391,221,287,819,173,
651,687,471,577,063,926,511,205,677,211,261,945,941,140,988,736,598,213,247,
982,947,761,657,365,148,887,740,716,223,785,269,161,752,285,684,063,711,772,
746,452,532,139,162,157,570,323,622,771,257,388,815,675,061,922,618,104,765,
968,487,440,523,765,162,246,672,224,524,131,592,400,672,213,235,075,517,370,
406,246,500,702,249,229,203,339,897,579,950,843,165,856,946,347,770,359,985,
081,832,926,484,643,120,459,037,035,956,794,647,455,313,935,538,023,814,494,
225,727,264,538,899,301,597,255,604,259,981,325,168,917,857,850,530,494,780,
103,440,367,612,825,337,734,620,873,372,705,845,581,798,805,877,877,190,604,
735,588,166,692,355,882,075,665,428,455,904,295,959,646,476,851,633,103,014,
216,561,401,605,741,939,142,250,233,950,052,874,507,978,290,221,581,256,478,
712,199,966,739,898,213,169,288,988,938,905,940,218,084,679,733,461,603,388,
643,006,681,274,100,838,281,000,285,288,137,554,551,962,787,320,304,206,332,
718,485,997,081,954,535,095,327,591,477,339,183,357,932,825,189,873,753,473,
355,004,486,590,189,059,629,042,430,497,464,144,740,552,070,546,556,311,643,
157,390,482,431,889,855,582,043,296,284,193,385,650,396,704,356,584,679,346,
133,575,292,966,675,246,339,723,136,770,796,996,147,870,571,356,902,695,699,
210,508,701,232,982,669,463,620,831,770,589,232,486,392,198,582,807,053,060,
070,242,912,439,988,309,627,918,824,088,211,116,558,435,716,112,569,819,303,
322,702,359,068,886,116,553,496,113,008,395,563,558,292,051,801,755,328,137,
443,422,263,321,972,350,933,308,795,940,903,027,258,168,123,760,345,382,548,
541,735,698,599,426,840,241,512,121,311,146,430,003,495,656,798,097,478,800,
888,633,161,448,156,218,788,075,354,486,937,673,190,928,193,313,297,284,341,
328,299,988,892,234,847,029,266,313,646,922,442,556,606,971,558,571,713,603,
188,310,973,694,102,033,503,008,509,341,367,759,707,105,627,561,491,017,220,
208,924,224,098,868,639,520,593,193,290,825,219,810,714,654,975,732,098,416,
335,971,232,089,136,713,123,217,965,555,012,638,036,905,723,112,692,039,078,
734,004,883,471,511,020,138,238,385,156,385,702,133,212,785,309,699,619,741,
483,365,004,326,945,292,844,825,541,471,266,661,345,141,863,445,851,732,919,
029,941,064,892,140,215,513,449,045,638,925,667,482,793,583,231,444,140,936,
814,626,472,731,901,637,107,440,894,069,224,123,814,811,242,089,779,726,836,
218,479,710,440,874,386,427,340,246,900,031,691,968,456,944,034,386,819,624,
502,692,373,118,919,785,625,321,847,928,382,601,609,945,770,014,954,327,734,
336,643,077,721,405,146,289,313,415,532,451,044,228,866,164,085,923,501,044,
243,773,983,602,763,931,104,080,372,318,700,069,951,287,742,995,950,344,015,
910,592,050,450,020,180,862,382,901,154,057,260,047,300,261,576,061,662,780,
070,815,426,122,223,838,246,733,145,767,819,632,174,524,157,579,646,284,828,
714,657,798,752,411,852,430,357,120,527,743,187,211,035,055,518,367,254,195,
299,137,288,795,682,334,214,735,172,935,943,932,483,557,118,874,384,148,779,
228,075,411,867,249,595,579,224,193,475,647,456,060,356,362,248,351,874,825,
073,534,796,776,879,212,380,997,804,608,119,607,180,619,829,770,341,549,674,
145,928,216,327,538,231,784,734,550,162,190,738,195,950,477,733,036,226,434,
590,086,746,721,408,119,566,293,381,843,181,236,731,865,052,537,536,440,818,
061,560,760,501,111,614,994,773,617,841,722,789,107,493,720,381,111,926,371,
176,421,384,233,209,682,900,680,332,869,906,898,079,388,835,036,026,155,219,
769,780,515,215,936,348,640,332,815,120,594,426,776,634,547,526,601,481,925,
880,082,517,493,508,126,069,998,175,692,430,649,671,881,807,164,079,754,594,
774,641,293,914,739,146,518,267,057,418,288,428,100,944,522,847,066,804,908,
861,348,496,743,052,174,762,745,715,465,961,990,934,205,318,663,723,097,800,
175,779,777,286,440,514,240,493,874,789,073,235,212,867,595,978,406,647,339,
882,589,457,407,831,254,391,877,943,494,965,350,647,058,178,178,351,120,366,
826,877,146,452,328,558,734,093,990,827,258,573,439,885,653,512,724,842,858,
109,747,730,520,113,064,384,424,340,121,167,016,641,878,187,195,095,419,744,
573,828,091,039,587,395,595,725,005,919,379,810,593,495,253,454,190,084,618,
143,463,833,791,136,752,144,714,430,023,124,461,828,377,858,865,171,105,311,
338,727,584,481,968,782,528,462,720,717,298,111,162,072,859,446,179,706,995,
246,726,141,729,357,855,466,150,340,564,729,397,830,833,707,912,355,551,812,
684,012,379,744,490,223,088,026,559,049,924,179,455,386,500,296,364,981,220,
607,332,268,268,589,068,959,554,871,932,763,770,601,790,353,644,101,594,662,
662,917,409,951,001,080,731,795,356,286,119,234,932,067,818,873,109,464,265,
837,735,396,791,525,198,016,125,992,017,322,217,474,091,278,374,165,758,908,
777,456,628,586,235,816,233,830,629,696,826,966,309,664,529,786,364,930,107,
140,382,483,282,016,261,598,682,611,454,006,449,895,680,662,245,452,390,917,
481,095,407,131,318,888,458,853,332,271,596,525,281,895,493,904,675,785,520,
762,535,507,855,058,022,506,933,594,849,724,700,315,873,614,606,411,673,113,
287,222,046,477,682,423,971,298,150,349,757,372,949,953,892,577,996,982,148,
401,305,239,592,984,552,613,820,338,295,379,537,720,543,675,648,863,088,907,
519,775,962,036,491,259,347,963,100,794,226,400,825,405,611,966,011,196,959,
400,184,952,580,231,754,453,754,222,000,176,515,029,437,787,931,549,380,842,
105,433,523,715,048,865,886,819,876,288,768,833,150,506,088,186,881,234,528,
238,423,579,046,455,104,971,708,667,409,491,368,862,495,572,873,196,342,300,
257,573,786,846,728,015,033,348,058,916,206,398,657,297,497,153,616,184,070,
330,315,744,762,453,607,480,727,570,077,641,861,459,955,357,145,247,560,677,
595,138,814,903,266,146,110,589,620,296,624,188,630,619,154,762,561,330,060,
045,454,524,900,017,466,047,484,081,003,133,244,008,644,554,827,389,808,005,
835,085,256,187,984,654,937,207,989,323,561,742,781,511,530,562,186,970,291,
630,560,043,263,347,616,603,401,945,621,408,539,493,877,369,675,001,813,809,
399,617,243,773,782,550,627,441,367,796,785,863,408,007,617,610,749,639,356,
747,803,644,416,119,773,819,961,756,174,674,105,807,513,386,974,142,067,151,
634,136,233,137,314,460,642,655,434,461,504,770,137,867,175,191,528,982,355,
609,807,878,203,265,466,248,170,389,589,657,433,784,494,887,087,634,192,244,
504,167,305,253,080,930,030,378,052,503,271,026,147,139,605,887,583,203,301,
707,597,857,367,939,580,949,286,754,820,278,059,234,706,321,863,765,619,319,
728,507,415,447,374,654,062,257,615,845,824,526,498,044,266,448,375,617,185,
545,252,811,555,093,736,972,190,025,486,014,095,738,693,931,653,373,044,339,
385,187,164,172,239,343,534,744,563,652,579,797,003,372,504,758,751,915,450,
879,653,001,808,195,169,840,894,744,493,930,637,393,054,509,089,363,036,789,
433,411,745,235,236,680,565,517,238,853,911,345,088,115,470,965,267,152,818,
855,979,072,509,432,967,812,235,854,330,917,204,342,018,289,258,088,329,578,
615,536,171,894,004,323,280,963,405,033,435,794,583,000,740,845,363,405,397,
276,635,409,860,449,120,512,569,092,659,152,544,264,350,057,367,244,200,128,
498,457,474,177,309,144,679,328,787,885,392,426,443,850,118,599,942,717,932,
557,448,076,314,911,671,949,034,242,213,453,697,784,005,183,792,171,182,052,
934,920,372,127,192,931,093,543,384,208,238,794,088,781,369,083,945,591,575,
213,396,857,660,619,303,047,799,275,578,743,235,526,378,444,838,632,451,492,
529,964,833,880,576,140,166,455,281,490,533,425,804,056,055,254,976,895,155,
015,783,919,090,247,627,420,316,185,340,621,925,487,249,960,169,136,279,271,
479,743,032,981,067,218,865,098,696,753,245,382,812,035,221,149,663,774,413,
219,149,699,580,822,706,161,836,790,632,726,891,151,667,298,803,504,230,582,
522,529,462,089,611,579,756,715,538,176,460,913,500,468,574,443,548,407,802,
879,725,222,452,568,457,706,150,940,879,184,963,167,829,704,205,286,853,163,
365,689,335,299,251,481,262,947,785,153,612,423,892,295,444,851,859,393,378,
880,517,107,917,128,345,407,033,494,517,729,349,596,323,961,630,100,764,946,
736,907,179,842,476,511,702,752,361,702,465,618,753,413,493,467,709,339,847,
973,507,662,527,773,309,787,224,500,704,010,758,459,051,436,201,982,120,109,
072,977,626,051,809,316,950,918,229,014,486,858,252,028,748,017,631,630,828,
966,593,576,549,792,166,210,956,072,852,057,310,697,162,108,591,406,576,938,
512,074,117,026,973,254,402,963,628,137,988,664,769,803,634,755,779,456,911,
982,805,540,117,560,146,964,325,281,823,485,553,415,803,225,377,378,101,401,
552,055,909,076,335,696,521,227,439,777,293,766,596,538,880,952,770,562,262,
655,885,454,235,070,268,258,621,204,706,291,172,862,979,648,866,109,754,774,
330,678,023,736,668,249,625,658,026,766,961,213,012,875,362,907,461,606,363,
775,581,820,608,803,175,568,676,840,850,651,380,279,882,066,632,599,624,411,
650,681,634,323,075,815,047,904,231,833,417,116,719,568,801,396,854,772,868,
749,192,606,589,930,687,143,560,942,371,852,416,085,016,427,399,904,980,110,
737,098,575,661,817,249,693,632,325,016,569,254,987,248,141,202,749,887,596,
159,691,398,666,629,977,999,184,093,496,965,332,306,987,916,168,806,311,813,
631,665,156,692,003,019,711,001,084,487,706,762,093,977,112,249,523,044,926,
491,127,320,490,535,294,455,203,269,631,001,821,482,727,070,481,092,872,197,
600,795,961,029,987,676,139,897,375,364,484,955,080,330,774,358,038,944,431,
854,454,519,512,334,473,422,740,599,628,433,740,897,684,798,983,497,530,718,
152,284,053,448,155,998,702,570,302,608,200,862,712,831,447,053,730,899,792,
810,438,850,032,291,647,208,799,587,338,112,608,498,468,051,777,516,010,421,
909,649,590,433,629,357,383,337,788,356,040,121,700,268,616,151,216,898,850,
190,252,491,784,936,916,811,163,247,437,249,960,670,309,164,967,420,277,108,
540,063,739,912,147,238,147,821,806,959,467,683,025,449,601,909,915,914,790,
485,450,118,274,167,673,015,657,536,763,538,309,534,388,401,224,185,287,565,
755,628,632,493,928,353,302,008,598,166,444,573,301,520,376,310,137,070,265,
505,267,919,061,069,077,526,831,483,883,053,716,067,413,000,349,845,464,611,
788,581,715,301,643,989,418,359,180,863,150,337,815,411,364,619,820,875,950,
107,818,038,136,405,736,691,241,202,298,876,987,623,045,485,394,145,775,480,
514,994,867,337,020,267,827,430,094,757,968,658,217,521,776,956,341,893,165,
454,016,296,182,460,480,569,715,190,121,726,778,193,760,088,148,288,328,911,
563,498,531,390,517,547,022,582,278,491,085,285,324,685,062,397,838,802,566,
804,987,788,367,220,909,627,199,363,142,902,066,309,320,757,625,063,878,803,
374,060,590,250,290,102,708,980,433,816,123,811,472,139,602,088,727,399,809,
181,707,853,521,781,837,414,165,478,464,825,038,709,805,705,479,858,352,196,
528,416,152,303,621,181,280,392,601,702,115,262,278,368,398,477,516,878,793,
057,482,576,042,716,747,422,438,083,456,103,681,158,829,007,758,633,716,420,
229,495,215,022,023,346,623,891,136,457,515,043,398,215,946,953,390,119,227,
340,160,596,452,200,704,876,423,105,012,784,833,611,227,293,789,420,647,971,
347,362,895,377,217,780,311,818,920,943,066,789,051,520,224,427,332,986,999,
979,637,740,396,656,095,522,811,034,963,579,228,194,055,553,655,780,684,709,
754,006,486,895,604,726,306,559,953,248,090,057,455,213,128,005,090,007,188,
182,293,729,382,466,136,894,743,535,540,422,935,110,872,244,753,882,513,832,
815,795,312,423,097,575,429,031,012,059,564,894,073,357,560,165,412,150,579,
373,180,801,959,350,833,117,701,758,117,042,780,323,740,066,351,783,453,906,
204,514,344,286,057,469,813,810,120,563,121,582,227,519,325,396,031,505,035,
313,255,352,393,509,332,635,221,127,364,607,375,181,155,738,543,832,452,419,
570,265,729,083,107,885,662,021,376,981,571,359,240,374,329,139,609,681,709,
420,316,707,680,696,940,087,054,037,948,970,085,518,017,616,396,677,068,529,
287,162,042,912,710,101,994,815,022,670,494,666,221,833,964,635,662,882,344,
108,017,084,545,876,105,593,552,065,699,090,090,137,320,956,843,729,879,764,
655,340,060,284,414,827,344,162,943,126,215,647,350,230,215,420,859,458,588,
675,731,416,628,489,679,337,514,515,056,477,712,995,736,759,171,383,731,754,
941,896,658,044,860,481,633,342,295,803,062,549,959,635,854,765,567,031,719,
559,321,973,661,795,784,082,121,878,119,369,642,432,703,430,979,230,831,719,
340,704,149,466,250,227,857,945,035,813,342,080,203,869,174,235,787,141,060,
760,623,407,879,313,447,110,452,394,756,960,193,110,919,479,756,260,905,119,
742,055,093,797,665,235,342,316,879,499,710,143,785,759,390,955,329,258,042,
600,442,687,013,833,248,789,378,240,784,651,964,821,962,464,970,574,448,165,
676,440,300,008,846,264,361,086,687,211,733,788,387,168,797,854,887,806,254,
349,484,814,421,954,838,552,859,526,529,759,538,643,077,114,708,984,258,798,
985,264,381,710,359,144,913,398,288,714,902,083,578,459,483,232,034,692,840,
635,390,421,953,740,240,306,729,679,831,696,777,039,281,455,203,141,247,797,
375,854,680,701,868,285,645,961,109,913,337,354,992,924,447,242,315,693,491,
535,316,591,297,177,238,890,490,207,552,521,165,993,482,301,244,965,979,786,
961,814,406,666,837,567,304,082,429,154,275,921,214,039,565,247,409,150,630,
488,341,827,743,264,554,223,116,106,018,726,152,263,948,706,885,438,967,051,
276,245,173,246,325,897,758,420,767,481,319,105,545,806,269,222,931,587,035,
181,663,665,677,201,107,504,366,211,270,703,706,874,036,182,841,562,605,691,
642,295,461,995,465,140,427,398,543,889,727,451,594,559,831,018,925,903,958,
800,609,624,802,640,446,516,333,849,039,060,532,659,810,707,997,950,901,994,
982,292,198,570,974,842,085,532,004,215,014,807,667,062,915,154,121,378,469,
094,657,653,987,258,129,390,918,392,966,117,703,496,468,555,514,323,016,004,
130,615,468,890,115,664,838,551,776,154,561,904,138,438,743,987,516,536,910,
690,708,779,594,840,125,140,894,570,094,723,513,292,987,719,463,649,728,161,
389,939,299,968,964,663,674,202,006,291,444,405,611,791,754,677,639,354,523,
492,719,040,796,223,868,425,095,723,598,482,207,262,746,020,143,109,379,074,
530,201,163,591,511,873,547,969,907,340,483,705,364,172,265,569,942,869,899,
095,191,429,413,358,939,686,848,145,285,973,044,089,449,831,801,345,976,246,
450,843,680,886,714,713,477,507,658,409,908,798,428,877,348,065,784,669,964,
729,138,640,314,742,661,061,764,675,797,604,331,251,198,852,345,167,447,187,
518,813,586,266,792,531,427,388,877,037,187,185,495,420,822,560,305,134,574,
450,433,874,089,236,540,923,662,504,896,618,796,201,707,191,681,030,624,265,
984,081,129,866,373,167,566,830,807,324,064,398,672,281,218,283,492,700,493,
710,409,406,493,872,583,478,077,636,362,904,897,378,233,798,234,156,890,996,
906,206,793,807,799,104,495,230,361,017,799,082,240,977,005,725,013,595,427,
518,478,044,153,922,289,707,646,372,925,598,189,824,415,771,771,383,554,738,
105,636,606,146,429,797,401,539,738,395,728,920,889,097,359,542,205,562,432,
814,315,872,749,912,982,411,324,297,507,754,142,273,617,765,551,334,133,898,
934,387,519,422,695,748,832,622,303,325,466,116,184,794,619,766,726,912,751,
346,987,824,652,384,445,766,185,458,065,269,466,499,800,182,969,382,229,997,
512,451,167,693,858,206,571,636,967,411,023,114,000,810,689,987,754,310,511,
795,428,949,148,404,922,323,822,574,133,496,062,300,797,689,924,694,934,016,
381,159,138,750,650,272,058,603,920,516,508,957,098,011,866,282,176,210,067,
914,254,557,122,431,585,471,223,826,205,864,444,713,859,990,302,207,350,229,
266,892,141,980,115,634,114,040,806,098,880,569,044,657,099,444,024,819,995,
092,811,287,408,848,511,603,213,627,404,645,801,271,335,595,530,896,092,909,
685,819,615,636,025,168,507,299,324,660,013,863,210,293,997,741,666,534,630,
991,322,069,493,450,992,455,047,795,170,167,773,042,079,982,900,809,828,071,
787,288,794,564,790,510,322,572,109,426,209,992,137,851,478,953,234,184,015,
289,955,533,401,331,665,938,291,763,222,334,419,465,385,187,408,293,692,818,
577,848,353,255,890,369,538,402,586,338,576,070,403,411,252,725,238,606,348,
405,998,968,457,798,970,815,642,246,568,933,738,443,529,707,271,865,490,073,
315,773,626,101,308,797,712,332,838,540,880,271,050,084,199,465,860,202,804,
321,194,265,129,917,933,100,572,725,706,150,431,479,691,409,273,901,537,865,
377,906,173,918,263,662,238,268,130,869,221,202,747,367,400,051,889,061,761,
874,507,822,557,167,550,972,741,372,545,614,881,250,667,970,611,065,643,152,
915,401,353,362,176,015,970,508,888,747,533,974,707,846,317,096,526,971,014,
741,727,232,754,281,544,707,181,159,255,295,847,609,815,828,245,938,385,964,
929,034,849,810,630,917,183,406,502,120,860,966,398,753,007,463,084,916,366,
091,266,906,110,441,798,400,662,313,611,894,009,015,422,400,062,024,516,263,
626,591,221,763,068,670,664,908,790,996,412,096,054,184,353,408,796,461,505,
779,063,689,931,016,358,418,139,524,605,074,736,010,110,022,460,372,638,118,
576,725,159,081,127,873,901,288,487,990,407,455,527,567,965,126,428,904,157,
264,375,746,401,010,745,035,375,596,865,029,192,792,340,490,177,950,450,127,
312,637,947,490,347,691,192,044,507,733,811,632,787,197,269,283,102,148,790,
768,582,962,308,958,989,808,066,567,915,126,182,522,895,316,675,443,926,225,
972,502,031,675,155,495,251,323,954,973,115,972,877,335,312,328,389,240,642,
035,186,230,440,318,390,905,562,913,971,540,949,408,442,502,721,049,691,463,
650,383,836,630,648,435,879,689,490,629,335,587,992,125,229,072,277,459,332,
305,424,940,866,255,325,657,761,376,714,585,958,922,478,913,210,269,246,995,
235,806,009,597,366,494,690,834,739,189,823,660,091,266,817,968,865,186,609,
104,707,176,535,149,586,359,218,769,627,286,565,651,547,296,461,692,122,638,
724,297,908,046,457,062,649,263,967,274,720,224,178,853,196,909,925,869,209,
474,746,708,409,661,786,103,704,634,621,869,612,887,253,976,466,177,473,241,
297,645,052,840,407,853,474,505,187,613,963,069,673,110,399,230,609,494,602,
624,043,851,098,185,341,605,524,979,299,559,408,732,923,616,467,224,020,924,
105,047,863,167,934,246,595,568,538,073,967,503,936,148,353,609,494,003,418,
587,249,515,326,531,486,198,942,822,321,693,566,151,713,739,209,185,833,589,
834,660,371,254,322,207,878,356,184,229,107,858,410,555,631,809,333,966,988,
250,330,899,609,791,457,514,671,002,037,982,356,349,322,280,333,590,797,962,
637,529,481,551,023,162,815,107,734,395,000,613,415,260,564,214,485,999,871,
627,297,876,073,496,627,704,996,405,937,881,754,954,438,924,625,104,964,078,
526,274,010,663,124,142,309,801,606,108,581,950,459,689,226,716,388,275,283,
470,498,358,222,212,803,010,585,771,531,483,524,853,133,423,215,194,818,891,
790,839,606,016,514,666,366,585,732,112,835,046,393,488,831,177,894,543,679,
472,592,512,598,375,051,933,203,764,026,700,442,876,508,761,162,898,277,412,
184,738,725,863,095,540,293,613,673,360,223,700,608,628,065,872,896,026,387,
028,812,539,351,194,452,081,085,975,270,686,748,561,917,967,039,835,681,662,
422,892,930,643,040,657,882,458,178,725,561,597,870,061,951,128,004,720,423,
444,485,369,287,065,598,929,341,910,583,095,667,190,269,086,296,159,478,961,
515,383,229,514,703,030,412,521,814,039,918,691,209,859,651,386,694,059,998,
487,953,316,933,714,966,379,693,858,065,396,793,705,943,809,618,997,782,502,
264,917,796,258,050,254,808,511,945,558,483,675,562,893,204,010,262,200,746,
117,187,486,378,827,041,469,201,318,652,050,280,593,365,896,811,717,450,358,
623,654,711,466,125,793,080,190,329,263,381,192,989,115,368,995,255,694,268,
051,972,651,888,107,289,735,319,705,836,847,435,831,723,665,968,568,012,630,
426,316,955,592,750,444,493,330,002,811,774,252,267,696,319,311,665,585,472,
083,435,977,139,158,991,953,523,549,474,427,802,823,720,914,679,408,435,768,
476,204,346,228,152,522,144,695,790,581,186,697,001,864,011,987,427,706,841,
675,997,648,360,994,601,333,469,915,011,204,826,889,999,396,195,230,104,453,
940,001,757,589,574,918,477,787,787,562,622,505,283,848,021,294,345,572,617,
326,890,232,308,380,623,603,030,832,673,369,351,031,084,894,045,143,595,318,
780,015,618,723,014,092,894,094,146,488,667,779,982,594,999,979,683,276,395,
474,961,612,908,434,193,914,890,475,488,442,847,857,462,199,704,864,561,765,
290,664,586,467,982,432,952,294,886,582,560,789,676,038,723,273,160,610,635,
903,464,747,440,682,080,542,935,154,521,398,009,269,243,765,216,746,354,925,
318,886,436,422,446,168,416,293,183,906,979,216,133,041,281,397,180,488,683,
618,391,466,725,151,071,450,354,164,675,643,419,125,238,674,615,792,020,830,
537,413,189,856,955,572,720,539,608,762,420,444,177,983,920,916,300,439,875,
024,013,304,515,453,652,922,017,439,777,856,976,219,782,795,703,470,207,130,
846,913,943,097,808,701,762,418,031,083,041,472,638,659,943,378,670,122,837,
946,894,830,576,686,400,362,484,419,657,520,000,363,694,244,915,388,892,565,
997,162,055,167,542,399,241,262,256,240,075,172,387,981,510,005,746,978,793,
445,670,003,349,773,477,042,807,617,937,924,126,592,994,284,457,517,804,373,
072,033,133,399,981,080,423,555,192,317,579,588,992,798,232,822,449,384,731,
995,469,039,539,492,830,812,367,718,131,134,975,554,748,492,770,441,371,894,
234,144,361,610,490,250,754,697,328,011,655,924,440,408,638,644,198,144,322,
751,677,040,509,604,827,134,154,453,456,629,378,486,032,207,953,586,333,579,
931,471,837,498,601,498,935,683,504,383,147,610,499,227,439,994,998,120,689,
442,844,299,777,460,623,475,868,624,003,414,532,918,520,795,121,403,647,281,
196,248,411,177,006,101,599,627,747,991,824,754,193,645,355,607,280,957,550,
230,580,492,082,573,149,544,074,656,729,980,195,861,927,879,099,341,300,335,
961,521,160,531,360,021,513,534,158,390,501,063,500,544,238,472,511,690,291,
819,120,776,204,196,073,894,598,114,698,332,071,790,687,916,883,941,928,045,
788,755,766,468,263,132,134,357,313,771,079,370,129,138,343,977,324,554,229,
008,835,959,634,944,612,787,292,630,333,873,518,526,929,394,794,454,288,973,
683,369,588,523,794,641,624,412,056,466,580,753,297,730,264,970,289,188,334,
466,023,685,009,534,868,813,970,909,990,126,021,094,979,565,697,663,877,369,
264,292,635,066,322,193,098,295,161,996,872,935,306,377,493,074,089,235,604,
270,463,783,698,749,956,714,304,324,223,479,280,557,678,918,633,969,371,465,
146,365,341,079,391,257,749,349,667,830,408,553,862,534,913,830,143,761,792,
789,114,277,197,404,294,969,629,909,212,709,580,554,397,529,815,665,943,933,
466,828,719,188,404,763,755,307,096,350,268,599,389,380,458,766,145,364,458,
703,205,312,979,315,116,935,175,907,516,314,493,598,737,158,319,436,208,824,
145,901,356,447,505,911,775,892,612,240,746,548,828,496,889,050,729,560,678,
520,849,907,611,020,473,038,026,394,053,111,268,614,793,544,833,000,759,680,
607,309,059,586,769,626,719,920,374,444,023,695,197,992,698,748,905,217,348,
750,114,320,730,109,249,814,194,951,379,713,154,141,567,921,081,683,758,383,
720,674,013,270,538,007,752,351,054,960,876,680,331,256,990,892,412,500,876,
050,975,038,447,857,089,643,687,278,222,742,809,295,198,387,422,487,423,120,
247,044,264,458,092,975,531,244,392,035,977,262,100,347,707,630,978,565,877,
400,249,299,860,454,567,627,673,221,303,921,537,959,141,309,812,458,753,088,
176,168,651,567,999,188,905,687,103,027,152,710,860,190,946,610,367,862,497,
041,818,471,085,981,970,913,814,275,237,421,267,935,064,821,406,558,070,943,
356,180,224,110,940,841,445,511,607,564,711,247,424,385,093,984,758,363,116,
882,633,216,386,267,076,758,829,684,711,390,628,010,568,469,745,052,691,930,
707,533,898,670,992,579,455,019,730,705,620,891,654,872,419,905,957,039,961,
686,521,655,121,641,751,751,676,022,947,593,867,188,824,975,590,602,199,610,
748,743,245,172,530,867,818,137,597,341,473,331,309,865,676,886,606,423,467,
679,475,987,833,576,815,761,864,525,280,232,748,591,867,950,049,565,997,057,
534,413,577,885,917,045,711,712,724,479,105,436,999,105,115,233,774,768,289,
166,147,197,622,840,868,733,834,758,858,841,790,541,681,478,683,396,273,374,
318,964,976,208,319,584,783,979,258,801,773,547,716,022,043,220,490,673,980,
403,996,630,881,896,786,629,187,680,302,872,831,326,548,104,261,287,168,312,
652,463,122,603,152,975,445,070,824,549,103,241,737,617,851,358,674,267,843,
072,509,951,211,825,217,949,193,524,731,072,239,403,829,103,704,436,440,130,
732,976,829,070,970,322,581,546,647,142,322,199,723,687,203,188,606,664,874,
510,344,098,149,890,822,971,971,218,517,623,379,881,949,415,805,511,677,682,
933,535,972,962,500,312,811,909,207,938,071,809,290,633,801,106,902,826,335,
968,658,014,275,573,750,357,397,002,153,067,545,229,249,892,666,281,293,305,
106,686,994,804,105,698,979,096,987,119,063,648,558,406,261,740,180,935,738,
869,255,883,321,947,470,176,510,447,090,003,394,737,593,700,791,231,857,443,
951,570,444,665,586,557,801,487,131,146,102,277,785,716,613,909,203,489,621,
586,731,627,725,591,823,270,539,316,140,539,193,689,847,883,715,336,363,143,
364,700,189,751,368,529,889,845,875,183,846,789,314,395,474,126,911,125,780,
329,645,089,831,624,828,073,072,128,608,338,900,273,784,319,491,164,429,710,
870,791,605,372,545,481,951,546,790,082,760,543,926,011,479,226,691,413,417,
908,913,083,019,424,738,991,018,497,389,074,201,573,211,798,759,478,522,931,
331,696,993,707,464,140,564,391,993,368,417,392,729,371,999,091,384,030,186,
731,054,006,577,131,661,741,990,633,001,258,039,550,599,185,295,116,025,386,
856,882,939,353,913,514,296,132,963,801,593,259,129,303,904,250,438,545,218,
347,138,953,858,124,795,272,440,916,407,851,145,542,321,760,839,855,658,284,
077,715,838,964,143,465,230,377,004,304,888,081,000,290,733,570,950,966,039,
946,972,012,955,354,805,666,051,846,989,410,568,577,442,620,916,391,463,662,
557,786,449,789,881,148,353,703,617,324,079,818,710,481,809,864,377,772,274,
904,468,090,334,490,554,429,215,843,363,023,194,559,522,568,862,043,357,889,
747,525,506,980,918,166,570,410,712,167,758,543,168,012,872,340,516,989,929,
398,895,400,294,989,644,119,422,767,799,397,960,253,356,569,888,878,190,387,
309,867,324,822,639,607,839,864,043,066,302,452,008,587,893,470,269,881,138,
998,499,752,446,202,550,751,667,849,981,728,319,207,665,451,178,483,523,318,
771,544,862,586,674,220,374,210,850,873,168,652,672,875,327,965,636,421,656,
463,687,473,297,973,148,827,624,589,120,046,667,644,935,418,505,921,567,321,
683,123,020,453,367,578,882,442,865,471,999,287,620,790,014,387,179,278,439,
726,147,777,296,623,923,524,810,389,604,047,744,619,137,334,752,784,878,443,
518,019,564,985,954,061,882,281,434,214,379,843,948,056,203,494,876,721,876,
086,253,405,033,948,045,693,895,671,806,603,328,574,492,957,453,197,039,575,
070,261,909,268,773,391,912,457,265,395,992,726,965,706,600,393,653,846,719,
793,395,039,697,124,704,288,902,810,583,703,962,767,482,066,041,027,731,988,
848,012,852,263,427,536,263,775,346,825,171,365,265,531,899,965,724,391,322,
748,521,041,379,800,623,888,011,742,699,974,810,221,215,556,821,007,144,730,
176,962,742,054,442,982,688,444,891,612,946,374,667,988,064,326,852,634,331,
728,373,891,281,142,452,294,075,315,986,692,726,852,141,236,480,307,112,070,
834,584,857,183,050,644,228,599,084,692,872,640,980,653,787,601,615,861,526,
526,081,215,334,559,468,035,710,005,858,093,853,987,143,827,750,811,701,063,
796,135,336,135,641,789,837,564,970,020,031,616,446,413,561,054,795,778,485,
283,131,372,581,916,934,368,709,386,920,354,205,259,292,118,819,611,921,811,
430,098,366,828,577,693,527,625,007,774,356,329,081,467,686,769,166,628,569,
727,440,373,264,705,345,204,152,375,081,441,305,736,921,494,598,274,121,775,
127,167,582,960,117,820,308,380,725,210,284,203,598,675,753,995,157,424,641,
166,611,126,414,280,764,369,648,536,440,063,840,214,435,342,233,774,360,881,
270,467,189,077,644,650,306,882,487,004,681,577,353,493,684,491,502,368,198,
839,600,059,505,919,368,907,480,455,735,499,200,463,841,668,786,464,724,222,
216,129,469,126,230,171,970,458,142,926,360,006,187,779,825,248,079,829,593,
740,034,964,578,241,734,681,550,394,446,333,958,614,800,258,217,332,158,831,
628,232,363,117,997,862,386,569,329,972,665,318,823,865,359,428,678,440,621,
227,497,105,000,113,956,747,884,920,633,167,797,812,114,783,402,534,524,284,
266,785,720,634,749,565,916,240,246,991,446,792,002,591,427,253,234,333,077,
484,203,064,610,887,544,587,290,059,599,003,738,007,029,227,650,269,871,396,
735,501,673,212,016,655,952,129,814,417,388,095,024,051,874,633,884,580,472,
204,439,107,465,767,410,488,376,510,785,253,204,709,821,987,610,878,764,173,
772,117,675,456,956,290,033,088,851,659,870,716,357,207,311,183,498,195,152,
421,847,493,946,160,438,415,205,006,152,612,415,776,757,785,970,615,772,981,
224,731,581,084,275,582,128,147,603,504,570,954,193,343,009,134,127,355,609,
743,487,723,247,834,044,908,024,545,193,139,047,003,979,129,720,078,067,338,
179,800,201,187,498,831,127,579,532,755,942,353,769,656,686,767,804,424,190,
424,872,580,186,369,112,624,527,064,118,374,287,372,865,347,797,217,056,222,
342,477,190,638,235,039,020,694,694,115,576,668,293,790,042,280,796,023,809,
089,253,393,636,463,483,663,385,847,905,003,740,632,054,199,350,990,620,486,
936,545,400,296,734,309,251,058,827,433,405,397,351,639,882,725,699,130,221,
648,435,493,731,238,855,006,681,893,575,328,476,312,602,874,614,027,963,598,
642,415,285,511,554,614,449,871,016,949,542,562,367,384,214,581,060,571,245,
648,103,495,579,919,916,632,138,341,850,624,408,793,660,802,935,926,636,332,
584,326,623,183,109,264,296,257,350,939,316,173,241,895,896,807,468,780,793,
606,685,158,001,779,735,854,531,361,708,748,176,890,456,550,719,792,793,558,
915,457,103,952,896,297,584,081,041,961,784,622,760,549,900,419,681,222,945,
078,729,645,119,996,740,495,780,515,846,897,293,936,155,273,482,986,468,753,
639,296,524,267,275,058,962,615,344,607,885,527,693,196,919,726,689,202,864,
122,416,567,537,414,835,600,238,831,508,134,028,190,304,312,916,871,568,432,
392,426,432,724,027,677,466,691,635,797,335,767,933,578,584,198,157,207,500,
216,514,125,027,217,761,533,043,424,053,283,193,221,972,050,458,894,058,998,
971,757,224,298,452,155,371,978,932,285,041,789,148,038,715,766,366,757,955,
561,847,490,321,743,526,859,876,216,183,419,406,116,635,066,561,988,088,548,
693,803,825,459,927,917,252,289,974,960,826,160,336,418,589,507,710,649,987,
385,261,079,884,695,203,278,866,077,023,742,511,353,990,505,401,316,691,510,
645,300,182,858,391,484,574,531,833,883,948,006,631,275,721,473,654,180,171,
616,312,371,216,809,634,593,214,969,494,486,704,484,246,159,855,342,149,163,
788,174,594,981,573,287,383,584,092,913,433,495,594,697,652,225,986,129,622,
654,035,744,059,308,732,068,869,999,400,267,072,891,669,609,180,295,487,861,
137,080,653,937,950,232,179,253,322,067,866,998,860,508,266,755,781,188,091,
874,859,805,207,162,218,140,346,808,455,770,357,457,832,293,427,996,117,192,
505,090,390,394,145,919,412,471,108,319,140,942,467,797,965,327,389,285,551,
906,458,658,041,745,680,398,122,244,265,380,599,763,056,960,092,522,631,403,
646,532,899,973,996,612,582,207,347,788,137,789,830,842,203,164,333,979,601,
113,294,001,356,064,786,031,968,825,281,237,972,058,874,926,012,979,406,808,
256,804,238,750,652,786,005,497,468,103,313,582,923,688,583,687,860,594,575,
014,401,574,436,627,465,458,740,205,379,739,624,572,258,065,388,250,776,409,
634,235,225,567,916,677,584,108,057,852,348,198,521,698,206,967,075,298,709,
708,105,130,105,976,292,337,848,397,503,538,973,031,902,639,958,470,292,282,
749,831,674,894,810,065,142,097,018,569,309,198,214,005,156,618,199,972,382,
479,381,631,455,948,072,575,501,104,936,457,631,367,572,627,546,744,018,570,
321,943,588,209,889,837,301,417,544,734,935,620,123,393,716,404,071,136,433,
836,236,536,193,387,044,344,248,819,142,239,127,747,185,385,853,334,799,478,
931,243,814,321,665,362,935,472,625,892,969,111,121,840,978,423,698,585,189,
026,337,319,790,333,213,712,989,242,919,792,323,178,110,775,484,184,550,833,
941,781,955,425,385,512,453,534,528,115,889,512,188,505,893,209,666,097,215,
604,204,183,273,383,232,799,899,503,219,363,284,582,023,322,663,693,114,593,
972,412,889,815,791,260,592,097,477,512,110,275,772,374,075,493,914,583,154,
300,477,971,334,585,495,310,971,068,303,874,610,141,125,473,892,807,670,656,
219,838,722,115,207,090,105,731,835,183,324,442,223,417,520,680,098,565,017,
880,974,065,589,116,356,778,161,026,986,966,956,590,727,380,325,159,031,323,
513,815,795,509,879,954,034,843,750,390,067,389,520,284,064,717,873,375,737,
482,389,453,273,881,484,092,098,884,550,618,330,628,994,203,509,049,549,929,
372,318,648,798,354,838,745,847,822,800,499,851,778,349,000,085,968,475,608,
704,804,387,581,848,020,239,905,289,879,379,832,418,500,272,072,954,926,819,
749,373,918,726,502,222,221,791,062,311,590,184,156,305,924,587,452,991,018,
099,378,400,337,913,779,832,887,065,132,521,901,065,960,600,437,325,149,360,
211,826,505,063,406,737,656,318,481,760,238,515,279,554,282,976,730,282,964,
321,262,883,732,142,743,807,644,961,751,517,877,458,153,582,488,301,607,446,
554,431,664,822,464,850,813,747,644,888,031,418,367,670,378,700,049,205,977,
715,855,361,024,237,217,254,514,957,902,922,773,505,692,065,056,168,113,349,
656,410,464,428,629,728,084,851,095,171,762,887,437,326,449,484,088,559,507,
754,507,073,455,324,643,342,188,610,759,206,760,535,519,718,352,378,866,326,
717,293,102,966,527,297,093,381,840,948,386,068,097,885,601,829,893,647,145,
496,874,401,365,712,396,469,019,434,915,421,966,692,490,412,854,204,407,266,
428,102,162,378,954,280,399,175,057,268,650,908,188,902,793,191,614,162,069,
214,196,054,775,620,888,794,072,213,882,275,809,918,110,468,957,616,370,668,
535,405,231,329,765,983,733,670,889,116,019,021,310,915,440,619,864,948,048,
302,748,534,578,599,025,089,010,866,904,886,888,836,536,390,075,551,042,470,
130,154,611,967,207,440,075,734,708,255,949,610,318,966,158,104,762,091,452,
761,238,357,395,668,798,963,199,810,012,821,103,418,734,771,280,336,677,883,
196,934,728,541,978,880,254,964,723,315,530,700,102,517,379,270,834,769,173,
582,252,365,776,406,448,446,850,689,570,692,925,628,078,301,910,888,081,753,
310,751,969,920,105,057,734,090,964,566,463,095,117,861,394,640,552,210,664,
600,272,254,075,619,736,422,508,836,956,539,578,731,013,905,757,990,929,469,
591,830,654,069,677,866,739,606,134,562,025,180,472,299,905,246,635,659,339,
343,428,614,892,524,650,709,507,488,619,221,587,794,839,927,556,417,899,709,
434,486,092,744,042,940,248,932,320,032,472,786,656,991,574,288,297,375,005,
827,114,977,405,826,600,494,521,285,212,254,432,233,188,759,019,564,424,772,
183,565,852,257,225,419,287,709,620,447,944,974,084,754,213,487,752,766,395,
281,452,338,390,715,050,417,479,451,327,973,362,363,946,017,882,259,173,091,
898,054,422,977,643,849,715,434,643,431,985,514,233,211,027,440,225,562,929,
818,148,710,730,652,707,210,602,272,970,762,807,793,903,435,337,456,298,110,
054,652,192,618,567,442,632,145,985,410,054,020,560,329,643,998,677,203,039,
869,466,923,362,472,051,844,334,715,372,888,534,652,425,753,075,724,792,899,
595,446,015,672,316,277,281,541,342,491,712,455,199,495,250,853,117,973,065,
688,533,085,811,699,156,897,285,536,621,453,431,406,733,785,673,970,917,466,
593,810,664,940,297,373,870,545,739,095,640,933,695,380,794,577,158,365,927,
736,619,611,394,372,948,429,218,088,133,496,905,753,023,805,880,719,490,249,
118,126,538,909,814,686,189,236,370,018,088,657,856,771,804,883,099,323,864,
198,446,067,063,272,548,953,287,015,593,024,901,198,231,651,102,462,505,335,
168,454,931,550,291,386,591,289,180,386,609,803,171,331,047,240,630,371,067,
055,562,865,859,848,414,922,275,780,512,363,269,637,126,496,029,213,850,621,
712,833,035,839,141,397,369,829,514,811,331,433,249,148,213,343,772,614,870,
158,980,589,099,713,702,033,560,383,814,179,536,137,520,678,273,121,084,768,
410,524,844,818,809,129,887,845,466,589,916,476,357,616,551,050,571,732,836,
950,017,831,038,457,903,823,657,263,188,218,018,287,978,654,881,024,555,006,
011,906,842,126,442,383,771,585,345,957,122,390,611,185,345,139,454,517,376,
426,580,370,557,006,558,018,068,058,207,558,550,174,685,303,935,862,480,430,
861,963,580,340,436,613,056,185,581,018,238,862,732,371,498,772,573,880,382,
340,829,790,289,708,071,876,635,255,957,394,968,937,574,075,737,250,100,171,
365,496,423,903,908,959,385,424,645,175,865,458,789,358,607,843,010,582,850,
431,158,831,136,291,484,045,801,505,793,446,854,265,392,171,470,769,002,782,
999,622,694,694,879,507,127,732,913,784,270,242,512,829,401,307,850,256,514,
158,200,108,664,012,558,279,665,704,648,813,185,766,744,137,447,084,168,534,
826,447,256,525,757,460,258,052,290,266,287,196,139,728,318,666,828,159,127,
848,252,901,939,679,162,878,271,396,709,929,053,696,614,365,123,832,260,006,
031,064,290,633,377,722,823,082,808,336,374,372,594,886,367,139,720,162,908,
148,414,647,015,382,124,461,668,353,828,296,979,314,303,129,863,458,743,336,
711,722,426,576,002,649,230,788,254,435,174,023,289,943,915,442,462,883,958,
072,122,964,472,032,814,970,125,780,647,841,520,374,923,055,199,957,384,724,
333,638,575,502,312,745,817,393,376,974,905,772,205,946,858,292,256,947,371,
296,678,156,929,195,873,802,879,310,841,358,057,994,579,824,475,071,603,115,
739,640,019,783,215,508,668,113,294,054,382,566,546,258,257,642,716,389,160,
088,442,832,409,644,377,642,368,846,345,460,085,511,131,565,570,717,960,877,
351,757,023,278,700,189,636,685,831,980,053,706,127,401,646,267,584,113,542,
784,322,445,086,801,099,215,989,535,299,793,802,517,697,662,024,493,752,265,
167,402,376,150,057,766,479,290,629,984,709,072,459,611,016,289,957,397,737,
492,664,318,909,625,596,427,256,302,682,772,364,847,610,219,587,626,425,205,
169,272,566,990,746,225,259,431,883,302,017,858,152,623,282,531,437,145,900,
109,833,126,848,748,879,086,412,245,608,720,157,245,285,286,299,376,086,890,
499,415,489,322,985,177,843,195,818,775,537,395,216,122,670,127,042,265,020,
470,309,777,025,489,830,032,375,987,060,856,269,672,442,115,064,899,555,839,
987,312,354,128,836,190,651,757,867,867,883,088,412,361,967,557,895,184,109,
482,883,709,495,594,829,254,044,250,735,499,796,431,853,977,483,780,140,075,
775,109,409,091,588,457,166,782,989,831,747,631,331,789,474,686,319,114,351,
318,537,976,126,176,288,945,691,439,070,743,157,851,002,594,698,403,506,629,
330,688,837,874,682,492,626,590,425,553,723,627,616,673,819,603,512,269,475,
230,764,605,620,142,398,561,656,112,947,952,451,673,364,935,713,267,283,572,
617,151,645,762,316,933,863,511,932,145,227,024,289,073,903,218,381,096,132,
898,121,189,671,331,684,981,992,008,640,257,096,630,512,705,833,500,461,615,
618,783,047,824,087,710,790,734,816,215,119,630,609,743,928,398,865,779,547,
509,055,540,506,264,651,236,873,323,448,939,757,565,125,620,432,221,961,713,
562,049,254,107,796,432,542,913,499,346,970,846,207,060,138,607,423,303,732,
291,043,001,542,744,961,503,312,503,248,169,580,965,609,713,698,936,746,581,
347,508,763,676,487,205,698,475,025,674,015,970,717,769,970,959,379,256,442,
266,786,554,300,700,020,940,014,740,016,173,616,438,138,282,511,518,982,750,
882,528,537,280,356,748,102,800,670,309,705,623,920,846,053,983,315,188,595,
972,082,411,802,175,530,152,232,752,615,359,672,384,945,032,120,937,571,019,
124,801,886,898,228,177,858,584,777,058,592,924,981,208,063,630,222,347,278,
869,805,967,921,332,248,046,290,167,177,683,861,230,205,783,385,003,578,151,
272,426,351,235,037,822,998,337,396,105,252,933,273,237,394,523,067,368,836,
644,521,524,418,574,353,457,421,189,147,173,011,387,756,476,635,473,377,323,
641,326,996,966,849,439,134,458,273,521,415,875,268,108,335,233,230,339,785,
016,147,733,762,312,219,550,764,309,098,908,865,474,335,593,840,760,158,941,
733,819,679,684,160,561,427,764,830,841,172,653,065,578,629,364,290,888,214,
044,824,488,316,454,423,737,990,382,512,699,064,889,857,115,436,230,207,373,
268,071,133,172,641,362,062,191,750,606,088,571,355,927,374,639,977,596,033,
601,577,444,586,798,264,308,112,907,685,862,918,079,482,850,205,948,667,430,
351,400,833,469,936,932,199,354,891,411,623,525,531,962,370,760,662,100,592,
965,665,114,799,861,961,945,780,327,116,897,221,173,548,315,313,650,531,869,
974,531,374,757,598,980,745,070,832,923,663,377,847,005,277,890,097,233,721,
436,735,182,180,577,221,519,579,474,255,677,311,801,715,227,529,265,733,378,
269,933,408,474,744,372,696,706,119,476,520,951,475,591,384,314,632,416,330,
980,030,630,424,987,488,177,023,068,658,681,125,292,598,562,031,836,535,998,
018,679,130,171,149,805,036,382,274,933,699,344,795,962,967,159,605,993,543,
403,672,617,014,636,537,833,411,280,906,099,363,855,984,333,059,381,656,028,
897,942,309,091,387,688,892,342,782,167,834,078,930,818,073,826,277,493,066,
059,719,074,964,614,343,509,645,698,089,507,614,164,666,703,221,133,024,840,
190,526,424,455,069,080,085,122,004,642,817,770,418,220,987,409,210,067,692,
477,623,622,309,798,497,510,853,169,614,096,021,361,795,469,933,528,717,532,
162,673,370,277,331,157,392,885,448,389,242,588,081,187,655,759,997,670,206,
141,104,898,300,431,800,286,802,661,407,570,651,418,385,179,382,496,061,682,
393,129,865,516,201,943,525,887,555,115,074,090,735,547,339,244,169,439,297,
292,381,389,837,307,127,537,908,740,799,348,785,991,080,400,009,565,737,231,
154,870,783,728,545,126,649,193,622,411,581,569,461,707,323,690,294,032,535,
959,763,252,697,463,467,328,823,139,385,757,454,292,602,260,064,037,662,336,
117,106,316,930,492,146,461,968,453,158,102,673,172,154,564,310,581,553,030,
150,444,485,619,007,107,092,853,034,278,355,114,476,636,513,019,450,399,110,
386,438,437,132,878,164,671,728,970,422,926,037,063,304,116,754,101,388,617,
297,933,847,054,664,973,263,366,711,210,093,694,583,224,225,106,470,994,805,
196,931,223,922,248,564,324,021,680,812,578,101,367,936,605,333,636,765,878,
039,925,248,930,613,982,617,348,537,772,927,181,518,889,743,906,214,645,267,
707,631,582,809,652,624,443,213,277,760,754,368,518,409,505,802,319,520,481,
241,471,625,226,550,917,175,780,318,530,153,266,653,319,927,242,087,105,835,
322,758,755,159,249,496,325,327,538,461,764,573,444,684,152,882,331,893,531,
739,284,016,177,058,545,101,650,116,661,128,401,400,477,036,260,156,594,053,
143,984,798,502,499,184,913,112,139,411,437,653,137,253,433,789,367,595,746,
103,021,763,508,270,612,524,345,251,034,547,560,784,479,581,457,296,700,217,
280,827,945,244,551,035,351,806,374,051,531,727,242,471,018,309,051,327,978,
196,245,848,512,549,088,467,152,542,171,992,450,960,885,889,245,584,041,258,
130,979,861,797,095,918,513,066,858,716,452,208,920,087,087,271,389,995,862,
362,752,187,207,351,341,634,991,109,202,477,125,756,315,739,169,130,273,922,
182,211,222,807,213,012,312,545,388,152,579,686,538,338,082,253,875,875,719,
526,564,301,649,796,543,375,441,373,904,109,041,578,739,606,208,897,117,033,
126,781,563,938,489,462,486,845,776,148,110,681,593,847,244,700,123,085,865,
054,923,537,036,403,999,234,650,897,567,685,187,347,009,215,408,219,774,891,
897,095,690,411,115,273,269,533,154,074,944,610,697,735,133,096,291,604,365,
640,544,080,659,251,153,083,324,619,860,198,035,701,372,800,414,866,582,759,
035,807,847,695,571,324,192,267,006,072,399,526,440,750,757,504,871,824,013,
770,694,455,547,286,365,528,030,482,303,576,979,040,167,045,294,464,351,839,
796,019,253,823,644,027,427,335,398,645,899,112,729,243,196,563,600,799,042,
519,361,428,878,958,640,323,174,917,459,666,506,532,240,604,734,955,530,780,
066,592,114,140,877,496,984,110,281,459,640,695,475,560,796,998,986,514,304,
989,167,356,078,041,869,014,089,913,216,184,523,218,191,279,603,654,069,973,
065,784,590,636,241,445,098,557,769,379,310,001,705,298,380,786,815,211,102,
934,983,875,583,573,729,022,269,615,686,600,008,041,853,214,607,871,185,399,
820,092,392,209,008,256,634,076,937,833,769,264,751,062,826,868,504,531,346,
260,512,600,345,509,659,846,315,486,440,072,263,776,417,187,204,325,978,018,
399,699,446,756,990,334,395,534,804,062,470,853,325,051,995,494,033,285,385,
373,403,903,221,618,802,804,086,577,760,860,658,507,019,144,593,169,929,583,
108,804,012,600,239,753,926,216,578,216,874,125,232,742,816,299,041,968,525,
662,276,535,743,582,737,653,809,424,950,494,988,501,331,439,002,529,672,388,
879,228,287,940,735,127,117,450,322,346,436,986,275,440,081,836,267,814,557,
861,490,310,686,409,344,481,645,892,389,798,057,597,758,003,358,421,212,626,
479,130,542,985,042,129,114,198,511,292,294,908,257,275,452,936,844,982,474,
819,817,490,185,941,333,265,864,539,291,415,784,650,999,353,914,723,526,755,
718,862,643,154,773,200,191,219,506,305,035,896,632,060,353,497,883,526,288,
398,541,281,750,933,351,637,402,720,087,700,126,715,754,007,796,207,738,026,
390,279,271,629,942,551,765,230,330,204,621,188,292,365,277,702,084,140,160,
314,254,619,266,625,854,420,736,419,113,327,624,322,774,538,007,525,857,447,
003,881,138,969,304,919,008,712,751,005,669,786,506,480,384,884,107,197,103,
064,352,637,619,216,662,490,536,166,338,699,389,644,825,658,543,085,653,008,
819,404,912,162,059,692,321,676,620,663,415,946,116,385,121,751,230,670,257,
616,517,456,553,200,771,071,926,829,178,688,897,303,071,851,969,655,097,465,
328,850,337,680,100,539,459,074,197,598,965,358,635,043,106,300,338,722,272,
564,148,902,372,450,799,817,572,895,156,281,875,003,608,850,086,558,865,262,
363,371,592,101,226,812,754,991,149,856,046,562,282,906,290,046,748,082,698,
861,877,555,842,183,476,208,927,217,175,681,282,801,519,591,137,596,796,770,
770,877,456,628,279,479,086,456,477,416,707,529,008,796,675,907,838,297,373,
574,914,079,454,111,666,826,848,253,454,765,905,614,292,254,936,248,184,562,
265,971,834,732,882,876,443,334,741,422,195,179,947,769,669,030,244,357,756,
314,504,021,641,299,146,531,541,889,103,364,910,897,896,783,506,151,019,715,
695,483,629,259,379,990,185,516,340,692,744,147,091,400,580,701,748,683,856,
723,415,850,758,025,039,918,902,909,326,680,695,702,567,205,060,907,949,390,
033,268,713,273,567,800,766,750,274,076,450,699,828,421,158,812,505,070,100,
432,191,087,894,218,895,930,514,304,267,664,873,153,258,785,653,818,855,163,
945,812,009,819,117,267,736,048,942,878,033,991,536,715,076,959,013,489,404,
834,826,511,758,544,670,697,597,203,730,032,350,573,951,985,117,273,731,874,
485,132,741,867,831,676,589,050,998,142,532,823,968,271,145,236,436,952,206,
946,482,734,663,829,094,123,976,973,803,047,724,018,502,011,425,415,615,057,
846,420,143,268,726,284,926,981,797,688,582,896,225,366,090,508,145,860,603,
634,282,596,080,642,729,280,067,463,095,166,912,884,506,055,810,183,963,477,
023,607,536,634,736,990,185,282,034,012,848,157,648,381,698,471,690,793,451,
507,793,211,859,332,561,453,803,395,871,581,068,655,555,148,179,143,647,166,
147,165,219,325,189,165,776,145,731,935,794,222,410,771,548,797,910,172,653,
971,637,710,716,828,517,024,817,010,815,836,665,286,867,388,463,540,967,649,
295,682,181,950,739,659,318,115,005,159,466,297,584,049,515,955,335,129,253,
931,418,504,335,633,937,905,038,817,138,307,921,418,525,660,423,057,246,074,
950,472,718,823,769,009,811,419,110,907,014,532,447,346,739,173,450,100,381,
190,347,410,864,431,986,103,497,374,641,216,349,577,232,243,987,730,870,750,
563,431,409,282,425,290,896,409,470,879,980,641,543,819,140,983,875,635,409,
772,143,491,105,341,104,542,236,667,139,206,779,210,953,217,231,043,783,738,
443,680,545,863,985,824,695,938,886,528,636,291,560,076,640,950,694,301,047,
761,742,471,387,494,682,022,121,806,592,730,769,623,743,953,308,425,571,047,
963,619,983,413,747,084,916,778,451,979,843,220,633,963,518,411,889,957,942,
418,376,056,022,127,559,914,733,376,647,272,535,270,696,053,401,829,828,810,
513,307,949,069,403,784,183,426,109,514,806,558,043,960,501,757,689,111,451,
134,141,306,889,354,378,793,745,703,331,695,837,407,615,693,883,977,169,417,
069,457,954,992,365,719,045,316,019,405,175,241,535,526,502,119,824,591,225,
896,982,212,997,690,575,274,712,185,724,560,779,665,485,559,067,071,944,005,
352,181,849,544,771,179,850,283,278,785,483,399,212,930,183,758,363,054,245,
142,694,383,989,643,288,956,409,741,602,161,766,303,452,368,825,384,035,444,
642,182,876,153,699,859,320,655,784,431,999,546,059,387,996,411,677,423,322,
888,816,835,531,940,840,428,108,347,344,055,210,816,554,714,924,397,706,227,
904,476,543,389,888,061,885,933,291,883,687,725,306,661,316,379,719,552,688,
238,885,296,741,363,068,443,262,645,639,267,458,094,406,844,986,071,815,247,
393,134,812,963,567,978,428,988,431,564,536,564,431,544,777,435,234,021,015,
698,507,859,306,661,848,118,685,133,387,354,376,674,472,335,684,139,203,177,
905,192,322,372,233,577,963,525,640,473,226,043,423,286,568,798,005,892,543,
295,479,127,782,726,678,235,773,507,783,398,922,296,632,427,681,539,912,155,
735,084,279,502,415,707,896,075,805,046,774,418,911,840,919,824,298,978,255,
673,473,858,531,915,546,456,240,778,236,257,369,672,112,662,760,816,881,857,
608,064,058,516,231,842,971,050,220,973,375,137,452,337,795,374,049,205,375,
482,633,927,314,619,263,909,525,806,466,715,765,580,492,556,961,492,945,254,
665,613,697,164,687,306,388,821,751,016,275,622,199,011,060,009,077,756,764,
355,267,038,315,381,941,880,779,932,329,901,755,655,158,689,656,191,771,849,
253,795,654,882,541,481,394,535,080,413,439,555,816,673,521,297,085,240,180,
159,863,293,678,246,339,971,386,932,827,354,281,345,831,425,493,413,880,451,
060,808,331,130,821,169,437,074,271,664,262,608,651,781,042,760,699,077,258,
318,150,647,401,419,547,566,118,700,205,149,961,849,211,957,382,869,928,722,
156,590,341,730,215,962,021,205,443,320,373,523,613,936,208,107,188,343,433,
920,745,680,971,014,652,496,975,002,067,974,973,294,733,110,950,594,914,242,
110,988,929,172,867,384,897,753,863,096,578,941,028,435,900,494,451,867,359,
136,620,374,125,803,031,136,447,683,418,024,478,317,310,202,441,782,683,302,
318,908,259,694,710,153,020,095,064,883,659,982,121,774,725,873,257,128,334,
886,328,087,652,724,505,292,284,247,942,323,918,905,862,157,223,476,321,673,
699,369,791,501,635,467,025,006,769,196,013,543,072,717,461,116,527,404,363,
384,129,818,095,608,969,647,115,320,996,695,999,946,343,825,182,592,642,977,
065,396,767,625,173,837,484,501,598,949,018,567,276,289,454,834,757,575,349,
954,744,899,894,898,753,945,147,289,835,608,423,486,403,214,952,855,045,494,
369,113,999,259,874,921,219,157,727,680,517,246,510,379,264,428,736,843,221,
123,421,337,899,192,544,748,249,894,383,461,438,724,050,276,046,701,811,848,
984,877,817,638,638,027,173,753,572,904,417,508,795,472,792,284,069,059,809,
791,957,668,570,426,963,780,002,080,474,691,154,520,512,477,820,004,158,056,
599,553,480,312,392,916,661,626,909,038,046,554,121,004,069,783,054,188,602,
149,620,340,185,953,101,700,978,102,352,118,326,837,941,465,240,714,976,293,
001,654,555,916,193,386,764,178,803,240,987,780,576,826,232,837,172,083,058,
964,719,198,579,400,413,826,379,507,683,700,883,578,036,628,932,343,026,958,
768,032,861,415,743,591,241,097,899,097,753,196,756,051,140,009,927,892,261,
324,110,612,432,018,266,808,324,926,719,424,283,782,346,631,706,699,977,809,
563,278,319,664,487,560,019,260,425,503,235,950,831,394,306,407,616,707,988,
149,325,512,107,779,263,320,910,317,282,364,802,242,786,368,662,743,439,311,
848,460,796,401,340,220,607,523,577,092,927,073,283,593,136,868,379,743,954,
218,264,815,703,694,599,623,219,643,868,067,299,108,624,301,446,206,324,655,
964,881,103,502,371,064,170,583,604,558,009,675,258,571,815,429,199,369,759,
433,701,472,432,520,259,700,804,749,970,819,533,402,976,512,829,967,613,018,
924,766,876,255,707,751,909,210,062,227,804,837,141,767,536,803,461,377,203,
652,835,100,191,060,515,967,859,981,462,906,812,942,297,560,098,954,082,198,
574,645,517,061,895,887,723,875,711,558,011,999,051,929,189,957,865,446,288,
602,142,610,997,341,332,686,041,517,009,760,703,162,981,017,022,367,334,790,
111,080,143,349,099,733,800,070,754,198,556,058,875,319,118,340,105,180,665,
841,993,078,685,652,856,991,411,586,566,809,075,205,838,924,301,581,730,742,
225,906,575,494,120,259,878,174,169,644,270,755,794,987,356,322,671,269,302,
319,350,281,375,273,387,747,826,652,026,971,590,196,667,111,719,596,803,275,
916,125,574,146,517,257,405,316,217,212,631,215,628,086,846,816,562,039,259,
889,190,086,705,412,200,784,451,785,404,221,496,340,151,365,463,567,742,847,
647,675,481,962,757,689,908,021,545,169,875,483,025,186,043,650,144,901,479,
368,211,862,306,791,693,251,803,711,905,789,389,977,869,152,659,503,635,753,
748,575,187,085,879,722,448,348,474,151,833,457,856,741,975,981,767,872,425,
223,905,889,850,626,314,064,214,033,519,873,163,527,033,340,565,386,158,687,
088,476,520,844,722,177,866,728,505,739,291,672,109,725,535,346,391,487,625,
235,526,183,605,404,527,676,971,451,217,090,341,326,395,143,231,672,409,578,
765,037,471,519,431,393,084,268,868,275,693,289,526,778,723,164,512,222,867,
850,120,388,491,131,684,591,844,139,941,082,357,669,189,521,992,537,280,912,
217,444,264,818,165,044,424,477,117,676,180,575,922,443,404,102,052,706,478,
405,537,027,324,411,945,671,104,561,290,021,126,842,364,566,365,568,140,727,
776,193,954,837,448,654,554,912,897,053,432,638,557,350,233,020,958,526,527,
862,146,663,758,764,169,486,233,005,010,389,277,941,484,155,641,134,652,307,
597,633,101,942,942,667,165,141,964,462,051,746,305,964,715,791,563,606,535,
940,317,165,197,790,060,250,420,145,360,562,444,372,741,093,294,467,221,380,
634,027,415,442,689,257,979,879,081,483,661,558,992,622,432,213,848,726,084,
717,238,128,562,330,527,191,117,060,883,235,429,804,399,344,077,695,344,350,
923,214,284,709,293,385,586,486,541,024,950,179,339,425,030,659,437,818,138,
999,303,388,324,095,850,262,394,360,362,598,294,704,094,516,964,489,985,057,
737,043,752,823,765,633,855,064,453,325,397,329,483,648,807,969,499,197,152,
873,125,074,967,436,425,714,888,785,251,561,489,456,809,705,217,488,970,712,
986,080,628,678,037,521,215,393,438,272,237,489,188,662,128,466,832,929,015,
345,085,745,464,366,437,721,615,925,032,597,884,508,720,247,698,106,825,180,
316,398,375,844,983,649,208,752,123,161,433,072,733,816,139,233,441,344,053,
511,071,482,617,337,400,800,481,531,439,126,898,630,211,760,575,427,228,942,
398,586,974,469,051,696,112,909,459,262,349,931,809,209,512,251,709,323,480,
518,736,373,792,333,819,643,773,728,091,046,469,103,934,802,348,884,323,855,
075,843,953,411,229,529,589,778,500,475,746,726,439,359,426,848,100,725,104,
366,028,189,434,841,902,509,913,964,498,595,872,125,041,976,275,782,418,054,
458,903,533,504,869,572,396,142,111,887,800,721,743,663,471,595,778,347,324,
190,189,558,276,084,666,113,801,972,432,856,720,057,127,854,091,113,670,310,
549,009,021,256,208,566,400,095,773,082,757,452,387,239,203,079,833,448,913,
954,691,375,836,234,416,564,071,866,482,780,581,849,525,659,590,190,774,163,
992,897,049,663,766,811,065,768,161,282,314,243,554,943,157,573,117,620,493,
566,425,246,519,466,546,186,399,937,899,124,076,553,992,666,279,284,436,986,
306,750,209,336,331,975,044,947,626,255,912,919,963,674,165,832,256,766,697,
243,925,440,723,371,552,785,445,694,699,566,249,445,745,095,078,383,112,929,
880,860,814,043,192,676,669,923,484,476,555,729,293,100,903,649,109,845,822,
862,278,127,967,392,278,996,447,759,734,898,475,303,764,746,521,676,444,278,
600,234,442,007,187,860,868,869,274,529,943,642,439,860,028,939,803,016,985,
612,125,651,072,804,274,653,339,044,122,361,449,510,008,847,337,435,563,256,
993,016,303,055,930,686,691,584,542,664,823,606,794,615,703,847,541,169,338,
375,662,012,878,255,613,085,807,494,389,199,466,824,887,627,054,515,133,027,
791,432,874,516,423,762,029,917,528,873,049,569,177,156,993,383,930,324,766,
203,306,985,234,424,767,171,002,966,072,054,544,338,386,121,348,954,156,436,
404,554,931,347,056,813,493,258,030,073,646,476,553,670,117,985,341,598,901,
445,486,664,216,359,942,108,392,029,576,688,242,031,178,119,162,466,033,017,
414,590,780,910,537,347,431,803,767,428,410,633,055,975,386,010,812,920,993,
080,812,572,388,853,434,591,094,730,705,868,796,915,594,036,720,336,033,552,
167,091,361,086,254,887,432,220,314,028,938,232,476,029,315,385,200,628,941,
789,484,871,966,580,692,962,132,735,344,718,719,906,193,742,376,815,482,795,
258,384,437,978,202,779,683,173,406,250,166,776,075,075,789,775,696,086,803,
481,355,293,561,663,179,644,020,837,208,283,967,927,492,591,725,004,788,304,
986,544,733,819,677,665,524,219,613,469,131,608,434,681,063,958,877,695,090,
323,529,381,060,348,504,822,365,894,132,267,426,968,501,867,108,702,568,633,
068,400,125,243,528,629,002,137,129,017,780,993,642,069,431,452,652,135,715,
563,366,792,496,404,505,594,959,053,974,574,911,516,747,661,110,835,530,051,
414,114,065,448,512,153,999,840,544,441,077,604,437,641,103,948,967,589,675,
683,051,964,370,630,778,321,380,724,609,609,956,196,685,194,801,377,353,044,
253,477,692,010,163,758,025,123,106,390,005,495,352,508,606,644,429,976,056,
317,421,623,857,521,846,065,512,585,735,747,702,640,680,120,061,705,678,789,
338,608,133,230,217,082,433,154,723,680,164,449,531,013,143,891,161,956,171,
436,933,880,617,286,353,858,354,307,327,897,444,889,193,986,383,649,074,658,
829,211,267,004,990,751,390,353,294,893,334,095,000,074,171,526,379,192,570,
356,601,698,937,681,387,010,280,093,331,639,136,163,422,219,489,518,194,336,
764,812,377,615,617,479,227,127,938,888,278,870,116,532,090,910,838,680,434,
274,390,438,598,567,683,324,297,904,721,928,572,355,156,699,011,720,897,623,
854,366,524,596,377,340,024,848,020,214,008,733,259,385,235,641,738,835,912,
910,978,336,195,128,851,554,504,645,436,911,112,667,124,081,665,549,009,030,
709,153,381,565,227,769,533,185,525,600,765,061,713,063,491,615,716,533,513,
079,047,341,830,484,236,338,146,864,926,455,215,543,628,747,338,890,795,841,
445,884,652,855,663,028,385,571,217,117,065,516,909,593,194,048,954,759,382,
209,316,723,853,442,558,683,628,735,095,506,302,730,230,837,736,758,329,538,
894,826,373,386,327,422,884,847,267,622,935,606,386,367,520,876,839,294,128,
977,325,496,601,189,146,243,503,422,696,501,390,950,089,828,323,262,334,669,
144,827,831,999,694,026,991,486,047,558,080,882,095,714,919,873,999,908,666,
676,145,674,941,041,749,381,398,117,864,577,067,315,064,356,674,100,405,479,
112,328,613,134,980,885,198,346,924,393,831,435,952,194,677,349,147,590,995,
937,328,538,744,683,104,887,399,538,103,716,183,345,582,041,007,276,361,300,
558,700,906,136,916,695,483,296,575,414,283,432,770,307,148,944,779,715,280,
303,415,889,555,640,764,007,387,406,560,794,079,374,094,459,840,887,399,225,
744,596,192,862,438,159,249,449,623,961,800,086,217,713,159,087,883,253,821,
297,312,976,668,745,280,546,095,224,515,702,738,091,276,310,820,887,638,384,
049,573,059,759,338,765,323,485,439,221,599,594,545,744,030,919,872,384,741,
590,879,083,392,986,425,789,250,269,732,109,585,318,064,038,735,547,520,228,
378,845,804,556,903,756,221,874,243,412,597,538,219,383,629,212,892,105,290,
567,842,809,706,764,766,792,054,534,688,109,784,262,813,068,766,248,709,546,
191,810,853,752,690,359,241,753,539,388,926,070,036,573,049,652,120,761,984,
352,532,245,959,772,475,683,197,745,457,631,416,992,739,189,750,907,846,456,
833,843,520,437,883,119,507,513,171,442,850,621,720,286,390,211,023,673,055,
731,755,800,954,644,582,331,406,118,926,208,264,451,154,382,074,949,467,458,
928,025,006,374,515,028,867,466,072,284,045,015,041,792,791,383,721,413,239,
173,077,904,988,360,203,046,622,005,443,540,438,128,899,450,690,053,741,342,
518,942,728,064,356,392,281,703,631,645,136,182,896,060,327,009,778,501,383,
275,617,365,751,625,768,039,680,494,054,549,264,758,852,624,168,506,607,640,
419,334,891,523,094,894,008,961,084,573,454,238,979,443,454,107,434,816,130,
570,082,415,826,457,407,495,195,025,664,097,008,816,077,706,233,445,457,644,
097,059,463,995,367,921,012,400,945,224,462,497,146,700,475,487,004,916,120,
777,145,908,213,903,795,976,942,602,044,518,492,048,966,145,703,516,316,673,
051,506,509,441,660,960,502,362,622,150,312,332,734,974,062,369,352,427,143,
006,161,357,815,406,345,557,592,115,098,490,141,928,162,208,779,946,496,272,
641,928,160,981,877,428,466,050,873,064,078,045,633,897,939,213,569,528,757,
260,067,355,429,116,438,069,886,499,647,099,661,723,406,244,391,104,493,939,
322,906,208,891,416,849,636,334,453,389,517,631,435,288,411,159,218,486,886,
335,256,864,130,328,438,912,584,591,159,840,018,449,306,053,860,758,218,878,
251,741,278,811,321,255,486,741,957,732,116,404,104,982,618,559,036,271,364,
554,661,622,780,179,268,287,144,844,869,704,439,196,589,240,484,137,306,224,
788,022,197,087,991,305,241,311,839,233,553,203,477,948,018,021,379,517,970,
573,178,309,895,824,500,536,425,828,435,196,496,373,193,196,989,604,968,892,
646,304,245,241,962,181,651,881,685,099,082,969,772,127,293,446,496,548,196,
613,800,157,993,272,768,330,162,893,252,302,011,315,979,323,098,502,302,824,
685,980,719,750,032,880,104,503,143,602,623,669,023,469,222,301,197,864,600,
103,689,363,063,935,826,495,856,231,738,450,979,362,372,897,016,191,090,109,
862,545,772,266,499,123,679,327,991,943,136,987,867,761,941,137,742,553,363,
634,855,678,887,418,074,644,672,738,577,648,429,516,302,883,207,764,461,823,
194,948,863,015,286,584,803,987,821,096,212,088,035,560,527,925,063,437,664,
518,277,715,071,179,737,319,560,776,346,792,396,476,462,261,152,030,836,307,
167,138,235,908,607,222,168,399,292,519,116,613,562,341,032,274,264,833,716,
179,144,257,936,627,116,869,973,913,629,563,587,935,111,391,855,023,569,547,
437,317,447,082,921,454,970,649,452,201,724,346,739,633,077,186,328,576,057,
235,710,250,487,012,021,171,701,591,158,341,664,112,514,544,196,302,530,527,
845,668,498,081,740,012,205,988,398,108,379,819,570,858,222,894,962,759,853,
431,635,736,756,166,231,044,476,927,376,621,549,501,950,861,875,594,824,895,
535,240,903,892,021,532,892,543,322,898,678,242,794,257,487,412,779,490,418,
352,874,559,194,024,343,054,531,610,968,387,861,790,009,197,334,545,615,400,
132,881,587,891,865,510,053,411,567,855,305,887,964,002,753,612,948,220,564,
875,545,740,237,661,868,945,348,630,098,340,132,731,868,069,877,006,904,081,
190,382,811,113,079,014,556,961,952,467,022,677,349,274,858,371,960,600,519,
664,682,258,638,832,878,125,832,282,892,827,829,456,582,531,534,457,461,221,
996,061,163,727,949,918,845,844,227,913,004,933,970,383,840,949,189,434,930,
585,695,277,436,376,709,634,632,022,554,805,914,088,981,179,565,273,343,011,
702,890,949,795,953,178,589,097,740,715,079,967,236,370,171,859,274,573,777,
857,232,703,508,852,828,557,840,442,657,977,238,971,605,582,170,674,295,582,
506,124,935,540,927,356,575,404,754,764,744,116,494,161,609,982,540,085,372,
761,783,314,818,913,094,464,023,395,164,954,095,959,865,310,901,412,535,180,
372,982,279,704,542,848,837,928,994,733,021,787,224,695,869,452,451,778,138,
637,967,663,337,397,713,095,286,236,566,499,651,190,938,016,923,782,955,348,
847,646,212,540,594,491,055,760,191,007,518,690,201,321,744,133,271,519,208,
014,605,945,282,229,082,449,472,057,128,138,778,614,900,163,642,039,064,432,
576,718,966,877,974,527,851,265,016,169,925,657,304,970,564,272,046,178,694,
171,035,360,151,261,258,287,644,451,743,855,396,883,443,735,143,126,828,969,
784,496,879,383,778,190,056,326,633,032,538,984,449,147,291,610,924,560,151,
930,088,985,407,973,778,930,826,473,816,425,284,981,411,745,515,380,636,751,
354,978,604,891,703,027,498,548,477,272,000,701,304,224,306,794,563,244,345,
925,100,785,176,567,901,501,543,088,537,455,383,528,106,193,708,689,224,484,
025,075,201,066,227,499,512,041,588,918,526,815,567,656,955,716,259,283,738,
536,495,044,160,657,025,292,120,095,565,197,029,764,341,123,155,409,501,724,
885,417,896,115,563,244,213,510,945,420,933,703,686,257,902,932,134,387,426,
130,442,737,764,821,277,913,808,388,012,380,443,597,775,085,728,984,991,910,
996,619,269,195,674,812,619,277,355,014,868,488,970,536,012,798,872,512,889,
351,373,613,548,271,903,010,173,031,277,989,986,124,700,069,007,739,990,677,
651,780,901,628,802,258,760,711,035,606,386,924,066,079,456,293,907,818,928,
671,568,019,201,274,601,456,231,225,064,856,237,938,789,952,022,609,806,660,
814,629,250,868,387,796,206,210,905,590,705,476,743,616,004,765,718,881,707,
964,628,182,320,115,881,736,348,439,570,126,438,190,630,467,101,561,669,947,
619,104,567,300,656,030,318,958,340,075,619,421,667,154,311,705,605,768,795,
734,862,594,414,998,960,531,154,605,977,812,776,848,322,818,181,376,092,639,
298,011,484,393,711,673,767,660,640,202,988,109,984,892,510,836,012,834,931,
150,089,358,592,476,004,818,312,357,823,309,387,905,616,257,605,926,900,216,
785,825,992,050,065,789,888,879,433,825,585,847,111,678,503,488,556,061,132,
020,698,933,336,726,935,610,574,309,194,682,159,434,232,100,282,017,394,290,
104,798,244,002,589,165,503,793,342,692,687,074,246,463,264,914,252,443,601,
776,279,387,374,054,914,438,739,230,175,754,372,237,212,031,032,110,474,139,
897,582,882,133,587,790,248,836,974,706,070,047,595,757,048,134,514,675,853,
956,883,668,363,263,073,409,594,197,366,004,418,216,673,208,287,385,577,128,
177,680,757,686,047,672,420,748,987,131,238,927,099,857,316,417,508,603,018,
349,896,627,266,927,377,983,451,910,643,369,224,131,444,654,403,528,291,067,
893,371,651,766,293,651,024,169,844,168,624,266,245,242,440,264,712,597,324,
596,841,661,273,888,864,982,866,663,598,449,427,194,887,613,727,271,565,422,
430,169,966,739,352,548,268,384,249,409,234,157,295,489,255,680,075,896,725,
814,560,578,454,538,750,425,354,812,365,135,553,870,462,192,513,927,862,609,
972,979,735,531,253,862,033,852,436,024,000,868,823,171,575,740,127,270,782,
610,197,466,590,070,426,308,236,036,617,967,236,254,062,454,429,065,456,438,
463,799,071,206,478,653,310,800,868,536,401,343,619,964,919,716,356,738,149,
849,739,291,209,208,001,721,728,137,480,102,490,843,941,030,277,544,091,507,
308,528,406,744,111,029,204,919,159,561,909,342,846,921,199,494,901,526,145,
796,337,811,309,925,111,795,315,591,077,565,178,154,381,489,243,131,999,246,
602,573,150,585,147,132,130,982,353,297,110,675,878,559,071,237,005,053,518,
986,453,760,774,431,947,127,870,662,231,404,438,307,015,008,369,237,085,680,
035,438,890,851,988,693,233,063,750,940,092,954,638,424,613,454,709,214,130,
345,345,194,906,743,497,981,486,299,856,109,749,914,284,029,064,444,327,093,
459,982,765,236,882,566,584,052,335,118,671,247,582,501,075,165,761,676,261,
387,129,155,826,169,865,757,888,912,868,107,225,401,852,693,162,125,291,117,
750,176,356,409,910,635,944,229,584,249,790,230,202,589,818,128,192,522,968,
443,920,180,114,033,127,963,017,291,337,045,137,659,027,114,630,196,721,938,
750,000,210,418,891,813,928,641,400,440,450,284,837,095,829,216,371,358,974,
374,362,962,767,298,749,978,919,097,422,039,176,425,706,940,118,283,912,748,
242,808,672,854,920,952,039,690,874,659,426,224,749,267,765,408,959,454,110,
469,784,128,893,858,616,950,399,602,850,747,316,111,584,035,844,244,589,444,
667,454,420,241,413,170,747,672,490,479,932,506,803,438,746,966,998,156,683,
570,222,334,674,453,074,302,787,245,443,854,923,347,839,691,302,559,032,593,
428,770,152,978,307,882,268,931,077,229,890,057,284,429,090,866,753,275,398,
979,503,551,413,283,387,346,026,643,354,313,940,424,177,582,116,901,366,383,
932,202,462,040,517,935,798,763,189,869,937,774,247,567,645,206,897,597,311,
199,420,744,701,726,811,619,315,244,744,528,145,811,633,989,542,232,062,768,
011,638,447,785,011,169,576,950,558,714,258,372,454,393,890,119,693,254,637,
526,891,154,153,469,868,579,326,140,703,322,513,663,389,910,080,028,603,036,
945,011,032,845,364,531,387,653,339,281,858,067,427,787,943,668,677,364,882,
618,319,481,979,686,511,173,532,479,010,498,652,472,896,740,193,368,806,313,
147,800,481,622,085,768,975,109,674,311,529,933,148,578,590,108,595,633,930,
836,248,560,020,780,271,155,424,549,147,040,175,708,716,297,453,936,405,400,
639,632,610,617,007,614,265,645,713,654,428,375,070,148,213,489,459,951,789,
559,447,174,716,644,910,714,566,020,687,103,804,705,926,138,106,018,323,281,
214,490,283,288,383,680,079,323,445,266,896,484,419,628,392,127,745,587,779,
944,669,078,965,727,033,596,830,640,134,340,103,678,605,328,253,620,183,820,
856,536,699,857,953,363,634,982,148,007,255,360,654,762,855,146,633,124,581,
476,745,910,152,857,876,452,652,898,810,409,088,909,181,090,020,187,975,048,
102,367,069,238,110,848,019,970,394,729,902,295,811,403,550,271,358,151,293,
929,181,168,999,970,517,612,278,665,956,955,809,050,447,286,975,644,120,967,
060,380,890,720,638,545,158,272,412,011,086,116,520,410,715,320,452,199,078,
482,461,633,995,580,178,596,535,422,954,530,411,552,936,296,418,194,915,896,
059,530,533,570,282,315,250,858,941,039,895,588,680,909,700,006,014,676,945,
922,081,705,630,775,165,044,270,171,319,785,172,192,851,876,621,114,447,903,
754,520,023,975,923,302,035,283,226,016,451,967,814,293,287,266,531,107,904,
752,474,336,121,032,499,380,359,671,795,112,640,354,681,109,493,453,538,913,
292,032,630,197,007,983,746,924,038,098,988,565,553,689,414,012,353,911,501,
514,455,205,666,642,087,427,162,731,192,489,204,701,576,089,572,809,499,355,
684,031,186,857,807,358,943,326,701,091,955,457,308,596,805,658,969,908,395,
341,994,074,397,528,831,876,542,290,402,182,273,770,680,958,328,812,187,006,
327,558,272,531,090,051,435,656,005,937,028,762,605,550,611,944,546,203,827,
674,356,599,375,179,028,930,862,943,069,502,412,202,737,524,348,271,616,227,
912,001,102,132,701,430,436,753,078,165,223,356,429,307,258,564,378,604,289,
218,515,440,483,362,364,223,522,758,942,680,289,880,296,975,892,056,490,745,
486,423,024,087,569,087,618,550,877,834,278,665,950,035,763,014,725,571,956,
374,215,957,043,457,427,625,449,087,115,030,296,136,350,080,707,991,496,748,
926,919,412,466,558,599,467,276,568,695,934,175,985,917,878,497,849,241,226,
216,845,816,701,273,062,416,654,145,704,551,100,613,058,289,996,563,613,638,
356,266,491,397,230,744,881,245,974,519,875,757,892,307,446,975,999,016,859,
311,146,240,516,885,975,550,993,714,046,385,647,557,615,995,938,748,124,029,
890,016,162,772,686,478,505,528,657,334,503,208,891,182,640,652,730,455,948,
200,221,285,263,809,018,887,508,643,040,206,363,033,278,958,729,921,974,948,
422,156,998,675,624,603,407,511,902,531,912,470,356,222,087,314,216,867,089,
047,553,940,736,092,324,897,801,335,487,431,162,266,995,190,400,752,505,510,
591,374,634,041,242,503,771,420,463,707,281,605,897,729,123,196,502,976,571,
990,137,643,384,321,005,570,985,389,162,764,091,717,114,422,064,942,655,586,
602,799,985,654,964,474,009,700,541,043,678,514,954,571,382,111,177,425,017,
919,675,524,456,889,408,163,895,234,000,067,702,347,815,283,641,077,617,246,
388,002,113,630,295,184,941,978,664,144,978,789,712,501,845,366,300,575,633,
195,325,113,317,396,225,095,904,443,611,259,431,846,832,033,529,896,587,305,
808,951,577,960,928,183,875,572,272,790,233,298,761,659,576,315,234,601,163,
594,426,228,267,740,497,709,132,992,593,855,258,713,742,819,207,855,571,463,
495,193,285,718,506,618,390,800,712,639,443,954,656,973,219,268,987,561,372,
606,337,716,364,976,691,399,324,915,250,708,645,041,361,913,699,765,902,534,
227,380,483,419,737,577,855,136,423,150,964,359,641,943,785,816,564,300,172,
080,299,986,206,124,067,042,142,308,283,932,340,184,196,294,279,867,135,590,
500,156,196,111,047,409,066,310,877,532,126,594,532,576,847,826,965,062,303,
659,377,398,157,749,797,977,934,626,257,396,562,885,457,170,923,698,860,341,
023,188,428,374,190,695,491,241,660,945,886,689,773,342,459,026,188,725,042,
975,451,347,907,627,224,051,907,529,264,552,544,855,108,072,804,933,959,976,
305,583,912,351,121,318,387,233,025,243,665,952,111,977,260,249,326,509,727,
101,801,861,956,730,166,992,166,237,109,200,746,238,900,637,297,531,610,374,
848,561,293,851,107,015,955,911,923,057,996,949,427,467,550,120,139,346,110,
525,264,998,466,422,292,579,736,646,888,004,754,954,729,097,796,538,332,582,
129,634,350,738,727,741,331,136,010,095,043,947,585,747,120,183,677,738,420,
700,992,727,555,253,373,321,298,458,557,280,041,397,236,683,279,498,909,889,
535,303,905,362,905,271,460,875,090,331,516,609,341,596,108,502,808,941,082,
543,257,077,364,333,198,362,138,130,897,103,581,563,859,299,959,653,924,566,
055,673,853,831,497,860,536,458,005,140,569,565,929,475,594,053,013,011,225,
810,815,400,470,388,075,278,563,484,788,840,576,656,494,083,012,099,731,564,
231,920,048,591,602,221,297,847,823,072,504,295,986,639,951,378,729,091,110,
966,916,703,993,410,336,499,975,044,053,264,281,838,823,648,978,394,661,926,
425,043,976,860,958,402,968,698,901,665,834,370,357,510,541,357,566,472,596,
972,902,478,610,636,740,071,702,006,686,327,789,036,264,613,613,915,884,368,
573,857,099,312,790,842,051,955,691,447,822,045,763,548,190,716,616,407,751,
614,819,455,748,995,053,044,721,279,612,115,750,011,578,308,306,465,033,769,
159,450,061,593,801,444,325,634,701,767,240,671,833,731,656,904,521,465,358,
578,018,238,149,953,090,604,623,015,942,868,650,108,190,542,471,203,267,258,
964,786,499,985,082,243,651,240,466,531,875,181,594,135,975,744,275,130,788,
120,685,187,471,253,252,178,838,960,991,538,157,249,924,625,146,043,814,787,
129,405,551,306,146,553,949,438,848,677,896,692,424,674,039,206,622,302,264,
714,032,356,252,435,208,710,358,739,686,062,778,809,079,249,358,585,402,292,
766,098,412,291,890,146,469,431,218,830,382,432,209,360,606,545,045,955,700,
729,426,707,143,496,902,525,557,073,755,446,922,778,920,585,967,210,641,723,
108,839,322,576,000,429,945,758,218,334,935,009,935,018,115,822,693,824,927,
952,958,582,500,365,137,214,084,680,830,194,376,646,155,007,478,973,839,282,
059,891,261,074,491,416,418,388,182,679,030,236,169,263,153,432,680,587,186,
325,113,979,222,761,936,323,619,929,742,355,207,542,626,041,348,429,965,321,
557,575,621,418,991,099,661,338,072,874,510,365,473,004,608,337,756,068,538,
221,488,684,441,135,856,892,685,712,529,145,938,239,961,056,259,787,669,905,
944,049,803,694,422,114,920,231,003,794,555,389,990,675,739,972,547,428,141,
647,089,767,366,800,012,196,547,456,355,948,764,077,318,593,215,475,370,258,
320,975,921,934,973,573,849,971,855,806,761,211,957,940,572,111,248,312,359,
757,191,939,488,484,788,591,235,542,828,782,109,627,855,611,798,203,016,712,
464,651,631,599,395,151,396,517,536,851,662,317,677,763,398,064,212,238,581,
251,478,911,592,695,951,578,515,351,813,805,552,898,507,274,143,305,866,044,
437,597,685,584,822,178,168,529,363,884,161,280,045,467,177,110,866,906,393,
376,487,651,371,956,575,070,862,117,629,244,366,298,630,095,332,669,708,394,
961,650,054,324,487,903,188,385,998,171,898,240,483,291,243,821,277,065,215,
455,407,463,944,181,682,684,476,599,080,763,815,734,549,734,392,189,651,619,
440,219,429,470,033,151,098,538,480,133,203,721,367,746,733,282,530,357,787,
522,341,517,973,000,613,314,772,279,958,647,179,672,595,036,523,922,755,999,
735,988,252,687,172,738,818,388,463,741,617,274,617,152,878,636,922,795,186,
386,610,135,208,802,677,573,841,401,009,828,746,644,481,008,219,206,213,138,
572,488,460,058,454,692,110,865,048,288,049,683,513,661,535,367,761,056,802,
862,295,542,447,929,042,722,980,750,379,864,362,618,450,147,384,830,477,249,
410,598,799,160,849,651,742,678,587,456,975,245,114,734,147,048,580,814,019,
931,961,652,630,867,481,311,603,995,982,636,749,495,491,800,608,152,867,482,
581,628,225,061,703,311,051,447,024,810,656,324,075,692,224,441,613,926,768,
742,662,702,513,441,833,183,598,443,112,234,252,721,746,053,808,075,052,069,
783,671,286,171,509,194,115,518,571,037,956,277,650,921,562,388,327,499,349,
795,891,450,670,470,017,197,799,715,330,492,856,395,957,486,793,956,736,482,
507,344,971,722,503,684,310,855,830,180,622,084,268,243,251,786,662,883,781,
518,780,643,761,587,585,586,930,057,265,566,521,793,752,448,356,648,839,627,
211,687,993,007,695,864,490,917,795,034,853,175,656,158,868,408,947,214,037,
641,973,314,128,609,976,698,414,944,432,932,473,193,646,609,475,183,982,746,
275,980,073,703,207,753,837,831,729,337,423,143,890,598,983,303,495,717,000,
253,218,618,737,437,910,678,604,281,113,885,682,713,426,303,379,321,754,964,
002,936,512,657,705,363,236,886,084,699,732,231,994,259,573,974,883,491,545,
380,951,671,054,321,446,061,061,008,827,718,228,912,477,273,112,413,210,166,
534,741,782,114,978,681,357,227,904,296,301,785,530,856,934,392,123,348,238,
268,538,627,214,290,308,735,117,820,822,787,862,247,712,673,054,586,987,050,
986,621,312,562,543,816,421,727,973,183,908,914,022,138,797,877,897,941,332,
461,601,408,267,416,454,035,762,212,980,677,402,396,825,071,350,466,244,401,
298,000,565,900,338,684,614,791,908,811,419,112,339,632,739,112,698,908,928,
176,272,332,796,318,378,331,372,936,956,763,250,847,118,563,938,516,294,738,
756,779,864,033,313,057,842,912,130,915,739,604,657,571,132,100,798,515,633,
656,796,062,764,637,982,154,656,875,116,815,077,075,575,808,869,897,418,954,
107,838,101,201,232,869,281,984,856,709,535,591,519,379,420,222,116,346,687,
594,512,044,811,334,643,183,166,196,854,723,569,821,027,658,149,301,196,819,
456,252,916,349,758,429,523,425,243,397,161,655,246,209,808,192,239,906,175,
867,413,501,614,689,455,676,884,019,049,127,558,224,669,438,714,909,944,765,
974,770,368,308,057,568,266,506,860,120,880,007,296,825,071,806,917,017,175,
362,757,911,675,218,252,160,234,377,964,644,354,229,132,917,077,619,602,110,
012,519,810,613,429,646,156,222,777,869,866,333,016,818,907,574,134,747,058,
321,110,669,878,565,684,017,579,573,302,839,721,589,704,024,915,235,547,928,
865,363,949,341,694,941,323,245,819,693,286,561,189,897,091,745,322,923,592,
430,643,678,261,221,727,778,933,684,422,085,347,607,926,520,929,895,634,981,
857,127,561,346,813,864,824,134,176,181,153,514,199,037,825,925,535,135,073,
407,651,858,713,640,792,793,245,996,166,889,851,773,455,046,400,446,580,491,
068,147,984,779,618,263,623,198,210,620,600,836,718,106,182,813,617,247,703,
438,310,478,380,906,940,447,763,791,010,053,499,914,435,439,399,263,548,873,
328,085,477,436,821,507,163,304,675,482,803,698,661,585,255,767,734,562,737,
726,883,285,418,506,342,183,142,442,700,375,578,363,207,622,303,697,760,101,
098,156,341,001,512,917,966,363,087,795,965,043,324,784,885,639,979,065,014,
937,077,826,324,459,584,460,596,939,481,775,219,896,593,837,982,479,152,334,
700,101,155,154,700,947,310,649,186,423,612,791,774,336,542,263,572,524,728,
905,156,486,182,255,554,755,165,262,984,102,200,429,770,704,790,435,809,607,
829,894,064,985,956,776,814,904,761,328,389,018,772,882,095,615,534,297,253,
599,791,936,122,828,100,065,086,619,588,149,801,527,257,657,160,934,712,974,
696,286,173,346,170,332,997,527,027,454,855,775,466,894,984,706,377,962,235,
271,503,296,950,845,051,665,965,999,309,562,021,648,609,878,564,117,375,538,
202,170,123,531,771,608,553,612,823,513,537,354,529,226,253,706,828,780,997,
220,886,551,699,683,344,170,361,320,031,128,303,308,953,662,317,054,492,581,
839,070,988,632,422,912,474,634,905,217,184,989,959,783,709,297,051,973,180,
342,407,696,430,167,476,620,682,638,550,796,179,077,155,146,732,811,872,687,
115,346,476,670,189,697,018,947,632,680,824,098,713,236,392,665,155,883,511,
008,752,624,506,943,234,265,141,498,903,460,907,198,768,301,737,589,132,488,
627,315,649,341,421,705,332,658,322,024,165,804,736,698,062,954,032,213,722,
194,761,093,627,448,228,153,679,772,282,296,560,728,181,354,943,101,986,429,
557,145,183,074,201,628,662,593,547,461,900,043,449,649,439,911,267,775,244,
425,290,965,690,318,111,665,597,146,742,513,723,523,710,293,070,248,950,402,
188,173,478,599,147,262,158,844,258,794,643,095,966,558,603,602,180,006,328,
455,176,681,409,093,139,571,164,042,320,083,894,064,325,214,356,427,438,297,
899,626,432,741,883,229,734,341,705,810,850,857,045,522,760,759,526,440,817,
299,716,626,098,256,817,445,879,032,792,560,512,955,311,676,608,718,765,322,
746,067,152,870,973,281,632,823,027,031,623,710,315,488,233,705,474,450,470,
392,365,135,361,800,718,797,749,228,131,805,286,926,149,074,510,458,295,102,
681,895,183,218,013,717,678,459,772,720,821,587,529,053,694,441,257,089,883,
813,353,178,870,405,608,645,858,233,096,297,354,398,829,654,267,423,879,972,
550,632,864,255,201,669,521,961,132,104,441,375,692,877,432,828,224,154,571,
671,943,092,040,047,565,552,320,750,574,251,976,441,791,194,870,957,749,964,
815,688,249,523,670,175,387,009,334,839,338,602,749,329,043,676,968,300,028,
082,374,695,832,047,844,570,781,365,706,396,233,021,019,348,083,754,196,031,
647,691,958,859,958,589,756,956,879,654,175,305,077,888,050,524,544,362,096,
599,296,969,864,288,033,247,892,036,949,653,660,760,415,599,127,352,478,179,
314,617,985,691,564,737,375,613,978,224,067,387,252,923,991,341,036,241,163,
997,077,749,560,461,719,726,555,238,180,614,315,467,334,288,564,072,098,546,
457,659,329,107,151,377,143,515,475,011,165,639,151,461,665,327,059,710,472,
682,120,366,571,168,825,525,273,912,429,189,269,051,207,009,313,830,409,886,
640,590,196,282,160,716,869,006,783,262,174,726,461,254,821,355,404,090,327,
255,639,283,644,123,749,397,043,157,368,846,101,873,390,020,611,526,010,818,
783,263,301,886,165,016,748,710,646,416,848,766,091,087,922,530,565,574,378,
896,838,050,408,528,028,872,244,481,135,133,819,632,314,061,291,540,024,250,
789,765,225,696,453,693,119,794,884,384,687,865,204,488,293,532,715,066,656,
488,918,494,455,553,696,307,340,656,182,993,906,996,547,125,955,234,535,010,
143,334,323,079,653,818,451,861,433,947,301,747,745,640,059,933,645,660,504,
979,318,781,422,876,810,373,677,625,351,094,022,200,297,848,115,741,281,348,
939,551,833,232,740,440,645,788,613,814,692,355,714,283,846,152,387,975,565,
859,981,293,628,495,768,261,179,588,949,993,408,431,476,439,706,341,791,395,
433,963,834,647,653,860,307,972,448,236,557,625,689,327,249,381,857,841,738,
557,732,515,333,512,084,884,748,643,205,456,107,035,871,961,980,608,604,734,
157,237,546,622,051,366,301,623,560,283,424,709,380,571,420,607,850,783,351,
493,502,375,090,694,376,433,608,602,194,111,540,795,355,714,848,846,811,731,
276,519,638,242,347,570,008,302,578,265,689,045,411,254,998,255,332,633,640,
138,269,679,013,246,747,565,887,632,369,382,869,999,147,628,311,690,035,928,
225,730,246,320,512,295,791,442,021,652,296,283,858,706,909,471,570,811,923,
202,792,222,134,840,570,437,705,090,357,709,502,571,450,220,628,162,200,815,
359,569,158,601,972,818,236,483,927,511,844,415,125,452,237,596,508,749,237,
038,375,177,401,444,222,661,016,656,287,174,295,988,121,081,254,829,835,620,
997,033,596,950,850,331,271,829,678,921,008,925,821,349,126,072,224,665,575,
599,703,504,433,296,228,207,458,387,316,278,224,898,209,670,769,518,277,164,
782,306,698,583,936,401,238,841,191,426,447,883,954,814,521,998,391,768,709,
920,676,490,855,055,028,448,321,853,243,084,178,503,278,647,505,336,105,078,
056,959,997,239,042,367,524,865,585,812,854,286,978,969,571,274,391,480,752,
845,935,894,611,488,147,125,789,942,519,604,476,977,673,467,610,762,279,190,
956,056,462,290,649,222,070,417,769,342,109,257,902,104,560,111,753,086,631,
367,770,608,766,973,409,823,241,513,895,100,293,208,845,701,586,714,495,503,
103,415,665,492,810,424,225,999,527,952,643,033,978,877,213,964,907,138,222,
558,717,546,928,443,355,692,104,273,248,676,556,531,702,082,270,347,311,364,
020,206,546,780,106,262,824,100,789,038,769,053,239,146,260,834,636,209,147,
060,767,074,130,322,519,201,974,197,099,933,707,462,356,783,757,332,125,838,
428,363,523,171,678,563,250,995,033,608,131,948,731,219,524,548,589,660,471,
975,436,456,518,187,767,399,963,958,437,288,639,610,362,073,228,549,920,764,
589,279,162,545,022,469,922,864,326,794,133,121,843,422,300,584,328,910,738,
352,425,391,270,833,583,382,351,121,964,474,565,122,816,031,932,859,049,910,
504,038,945,692,772,731,752,644,747,424,446,920,140,943,073,439,684,860,704,
501,627,195,434,904,175,548,933,681,583,527,240,278,854,075,452,110,989,004,
196,182,486,811,509,516,966,149,830,934,293,234,302,914,235,275,667,957,097,
965,510,294,590,199,657,307,818,074,973,794,744,783,518,502,258,340,777,551,
165,732,540,832,837,865,647,073,446,255,053,554,437,340,523,996,822,571,096,
818,364,140,268,480,304,784,841,996,128,401,755,158,494,653,661,703,911,363,
424,969,179,073,242,244,687,329,850,042,695,317,288,786,962,235,764,809,992,
183,739,370,801,512,898,801,150,516,723,971,432,682,280,721,244,153,858,983,
813,530,587,285,008,357,704,971,534,688,859,943,494,201,598,039,550,144,335,
412,386,334,724,862,084,255,222,942,003,439,607,506,256,362,530,001,075,798,
710,449,919,434,760,895,905,552,513,297,524,783,792,775,671,863,000,040,145,
302,988,858,578,665,263,363,824,901,040,399,164,661,208,727,349,715,953,577,
023,348,016,276,198,065,289,815,138,700,793,957,335,002,230,532,685,690,828,
723,446,510,010,548,274,699,545,768,071,116,594,561,450,851,961,085,164,501,
733,470,348,124,179,926,083,188,746,198,645,083,666,474,347,727,605,841,454,
465,729,702,203,039,447,390,864,598,901,468,648,323,532,034,111,814,916,558,
140,990,946,597,755,624,207,210,155,612,325,257,251,933,015,956,734,225,460,
881,111,466,872,610,703,601,280,787,506,579,633,600,588,548,094,530,894,126,
676,614,639,268,701,219,059,910,788,396,701,846,318,450,377,355,468,505,127,
665,358,917,706,508,965,325,112,093,561,195,086,757,376,830,411,894,818,712,
347,840,407,640,956,751,509,671,257,668,426,875,394,927,566,850,748,262,786,
392,241,276,987,715,740,922,726,388,054,112,772,991,373,124,943,570,569,669,
986,864,569,564,862,906,265,406,280,779,083,144,816,841,165,075,058,494,405,
346,920,249,562,587,354,737,761,726,003,702,793,303,145,388,480,695,203,277,
817,080,871,696,067,013,972,918,939,274,533,260,614,022,929,820,098,723,149,
865,080,722,977,917,570,125,970,088,572,516,269,850,196,054,621,451,688,927,
742,328,024,085,122,262,058,649,993,382,230,846,030,147,910,013,457,219,229,
403,854,453,003,674,734,961,804,534,124,871,928,680,257,476,783,208,900,577,
828,690,433,123,516,932,487,420,301,673,689,239,248,064,736,077,715,435,048,
781,532,593,465,624,819,836,070,027,865,499,616,849,275,579,500,366,216,321,
613,558,814,835,564,878,200,721,199,844,979,850,615,955,744,377,864,998,225,
638,763,435,397,567,412,207,708,162,741,274,179,367,677,437,037,329,869,103,
068,758,810,347,410,876,329,967,731,423,118,149,519,592,559,005,435,453,890,
996,912,873,404,766,227,399,029,661,228,816,258,260,951,273,929,402,625,465,
496,613,007,956,911,425,992,394,492,787,314,907,198,159,056,859,004,076,686,
010,723,918,583,895,669,481,136,691,435,972,195,811,567,435,103,665,454,172,
564,310,978,078,764,022,020,281,700,244,894,007,791,434,730,073,075,985,611,
751,960,233,033,144,384,726,230,650,635,803,326,107,549,262,646,923,007,302,
860,132,295,892,849,647,746,545,147,536,378,228,287,832,019,794,938,172,880,
957,909,314,207,813,821,547,989,657,240,397,602,946,748,918,117,870,781,442,
980,032,646,933,673,401,701,677,415,537,521,568,295,171,676,379,084,314,832,
479,534,360,903,078,764,596,868,882,026,911,764,187,764,024,002,085,910,304,
577,735,025,287,435,380,611,917,225,441,190,166,339,575,970,291,452,303,580,
597,216,793,740,900,913,589,517,103,501,950,802,806,866,732,669,903,482,865,
516,918,201,373,303,638,776,862,778,055,485,234,585,797,424,260,216,298,925,
792,695,115,506,496,960,231,419,989,706,266,211,635,365,279,052,900,714,915,
711,874,806,371,007,027,594,719,289,669,121,003,480,305,282,670,741,800,562,
844,466,624,700,682,161,323,293,593,169,492,203,343,023,174,039,760,841,334,
472,584,544,539,139,890,984,092,283,420,892,371,928,155,431,620,636,607,058,
350,678,170,825,725,063,086,071,071,352,638,848,982,404,203,700,838,882,876,
548,411,381,683,216,434,334,515,000,160,430,501,419,329,942,120,631,917,773,
623,772,754,189,840,119,261,793,842,768,924,009,685,420,594,301,487,811,726,
415,144,568,327,212,376,736,304,929,956,860,241,824,743,995,169,256,550,153,
987,643,806,025,546,668,914,109,743,386,487,744,738,405,076,666,351,749,392,
802,960,231,549,410,331,320,816,027,100,889,517,805,147,653,170,544,547,501,
074,595,900,369,031,737,599,076,054,554,428,360,897,094,842,993,704,637,928,
480,382,943,913,606,421,890,582,228,246,373,907,840,838,048,915,614,210,557,
427,859,207,427,855,600,797,255,099,004,958,590,658,105,266,096,433,053,613,
821,387,036,340,580,459,954,445,439,724,993,315,406,245,083,465,751,253,144,
221,861,389,443,002,204,118,017,282,612,667,341,831,172,016,560,749,052,885,
972,128,595,911,178,835,096,933,244,766,170,327,522,534,995,807,011,219,823,
791,721,440,937,886,575,134,043,377,946,923,464,295,670,859,670,198,499,125,
063,959,692,587,964,345,262,458,390,749,726,466,386,565,518,349,313,410,476,
180,878,958,055,702,184,134,199,871,698,428,921,065,973,377,064,963,713,995,
227,594,481,308,105,932,035,703,938,660,733,566,187,193,287,998,458,840,624,
071,642,424,074,867,282,140,450,889,397,793,164,338,446,446,681,266,129,232,
458,836,198,086,975,204,664,738,985,430,437,497,694,921,466,549,142,541,843,
307,377,995,461,284,680,559,602,996,139,930,098,623,295,687,724,114,271,229,
812,301,021,626,973,713,055,408,631,005,434,829,378,645,208,439,930,883,367,
704,221,753,156,760,698,066,113,124,794,348,983,402,687,763,717,348,761,726,
254,253,258,501,389,581,887,627,730,041,506,053,011,474,973,090,403,134,107,
657,319,276,414,281,109,893,131,371,598,510,150,169,202,924,021,640,737,370,
819,054,757,995,699,785,395,990,077,537,184,223,840,864,073,916,847,590,670,
755,644,798,198,844,486,770,191,599,910,797,829,288,567,541,429,513,792,795,
030,321,140,079,209,928,595,409,028,463,924,629,309,374,487,122,257,181,310,
569,109,270,082,884,951,902,128,931,583,736,379,558,966,608,660,238,292,914,
595,133,435,263,059,536,249,569,240,435,645,398,672,653,276,516,651,797,501,
992,423,013,103,429,956,781,597,168,497,882,479,278,885,521,384,273,181,562,
154,600,528,001,669,473,636,531,388,498,974,960,942,689,883,138,789,278,467,
277,935,324,696,190,721,801,582,221,695,358,241,682,688,510,296,479,462,045,
948,883,238,899,299,680,648,859,076,672,245,852,626,360,032,275,819,206,634,
597,129,288,807,309,514,722,412,128,051,913,886,920,467,919,541,859,849,977,
863,787,830,282,385,200,010,830,370,546,905,252,484,234,823,460,731,654,378,
883,902,809,331,080,873,107,674,563,667,878,653,866,008,056,138,966,642,426,
989,001,129,921,398,087,488,448,910,030,719,235,449,066,090,671,357,786,512,
370,056,142,455,989,771,232,856,732,781,044,921,592,289,670,031,774,567,430,
782,646,093,203,601,706,750,975,486,272,078,136,270,259,012,943,982,227,994,
584,028,543,193,653,468,400,361,982,278,661,612,878,726,846,021,210,073,510,
631,881,225,723,245,100,601,155,699,744,555,187,670,943,347,730,073,312,938,
464,371,021,284,721,298,929,652,482,326,724,043,795,349,805,699,203,584,537,
139,597,806,651,840,628,579,083,917,013,084,676,773,088,551,108,218,954,316,
570,436,075,158,809,610,714,803,624,430,711,152,053,380,114,958,881,453,721,
110,337,583,872,294,736,316,972,495,585,924,899,048,199,662,637,908,570,612,
831,170,065,663,058,716,074,127,971,228,188,187,344,096,759,619,155,326,338,
629,183,941,269,093,736,035,538,704,049,079,628,297,594,845,443,837,493,712,
508,218,652,696,726,404,658,392,255,371,676,341,256,662,939,861,714,368,223,
775,318,944,414,016,397,199,478,015,688,396,244,210,486,238,177,918,676,007,
005,306,114,403,965,950,163,326,301,266,907,364,720,320,357,910,342,196,780,
091,103,859,605,628,242,318,706,157,348,552,857,664,225,607,115,157,942,778,
760,196,043,816,828,896,959,533,796,932,874,899,566,782,089,353,773,212,418,
787,189,186,831,919,460,188,654,798,108,812,402,660,962,992,900,009,637,361,
885,004,137,731,919,383,581,253,233,064,038,186,639,494,995,683,270,226,363,
501,007,624,227,918,425,797,906,769,300,904,677,744,378,632,370,204,643,402,
411,075,339,313,359,169,988,571,694,428,509,570,822,572,495,578,917,753,186,
974,335,627,161,404,215,343,053,897,992,929,558,373,580,904,800,184,810,471,
107,361,231,594,608,928,519,249,176,776,015,021,757,502,517,818,001,386,657,
240,570,764,863,199,533,282,932,817,700,248,151,102,026,503,333,443,618,641,
320,935,124,048,184,399,699,168,881,410,050,256,875,970,906,797,021,885,380,
081,177,739,089,694,969,518,137,266,719,164,808,285,761,997,638,289,170,313,
732,903,246,718,642,915,271,379,619,035,341,977,488,080,645,349,443,495,148,
398,384,712,330,651,847,142,991,144,420,286,455,099,223,359,999,770,225,810,
677,842,036,439,633,717,340,046,034,406,302,377,211,515,293,373,474,722,154,
489,386,555,413,321,377,404,336,496,734,460,241,014,122,916,253,933,196,450,
996,715,690,410,646,879,866,721,097,029,398,095,594,086,058,487,009,528,968,
423,592,951,805,627,500,725,321,992,711,623,422,410,518,254,289,926,981,724,
858,803,179,011,615,626,675,025,691,191,309,957,206,404,489,579,562,581,218,
973,876,190,916,744,568,009,556,839,025,496,250,408,552,475,968,498,090,553,
487,639,053,335,721,881,474,614,135,833,451,266,985,851,107,689,225,789,422,
005,610,514,053,286,838,379,108,994,273,457,168,558,049,804,699,450,954,091,
931,821,623,704,649,904,557,230,074,669,219,267,069,689,489,085,372,334,519,
933,262,684,673,713,194,237,008,132,149,014,954,463,585,863,296,908,961,022,
132,955,094,740,367,097,902,969,286,838,304,482,247,643,480,402,654,958,557,
588,553,709,306,825,913,885,918,970,278,653,174,825,579,757,236,483,916,468,
059,148,873,892,559,022,228,168,680,639,256,849,438,831,155,372,348,655,057,
335,133,042,565,627,604,446,643,726,826,541,555,537,363,379,504,286,530,141,
874,891,056,967,113,130,685,906,951,026,482,115,941,838,506,640,789,774,416,
006,011,556,419,457,646,370,423,641,402,177,103,620,004,936,297,198,021,439,
218,481,630,294,980,208,552,043,504,172,471,810,397,750,914,751,921,937,290,
349,135,927,872,143,426,281,038,036,806,031,422,861,313,603,779,410,019,555,
248,773,274,189,084,994,304,016,428,284,221,248,105,111,473,726,073,609,133,
284,602,939,438,476,823,949,382,388,770,670,632,637,134,074,015,571,101,688,
243,692,182,884,680,028,576,054,242,962,170,668,284,622,217,994,605,447,305,
572,636,066,656,004,267,538,021,999,484,385,153,805,102,748,502,788,198,443,
051,410,284,892,490,108,419,610,353,247,915,646,970,253,675,696,638,365,306,
034,064,175,906,736,250,487,805,009,297,345,111,623,779,992,012,081,795,108,
827,999,724,727,389,346,113,903,854,096,017,707,650,641,007,675,409,511,057,
445,125,978,589,923,477,218,757,055,155,039,627,136,502,805,439,505,455,252,
490,424,942,612,873,125,634,662,200,940,658,115,656,551,220,967,986,010,611,
548,611,082,612,357,318,751,306,354,420,394,782,145,819,926,100,604,822,708,
255,053,578,115,234,309,963,198,189,904,773,343,985,326,334,891,671,097,616,
824,944,375,132,675,276,896,258,442,198,321,557,303,587,584,181,671,536,684,
275,107,582,825,428,386,192,898,911,948,431,046,697,245,174,663,383,542,914,
083,315,354,816,765,112,429,896,334,796,387,103,925,585,885,691,219,419,037,
442,679,476,076,788,050,757,861,580,920,091,504,641,167,703,176,099,994,874,
328,745,775,713,912,072,057,015,534,042,058,482,092,033,215,853,493,375,893,
731,428,109,028,525,807,899,578,445,041,355,570,938,155,956,484,923,997,673,
293,449,913,365,708,467,415,807,761,445,566,162,377,597,041,534,547,779,592,
529,335,016,830,994,563,965,526,699,145,665,222,486,045,194,143,724,243,001,
357,101,989,651,753,555,591,774,488,937,630,757,448,859,617,452,513,371,950,
378,561,273,100,264,468,840,019,950,767,132,008,345,999,103,474,270,145,504,
589,499,177,030,934,510,917,656,522,311,237,413,049,986,483,626,678,878,116,
955,576,599,119,706,713,284,921,025,356,373,224,113,316,039,094,687,708,739,
059,335,422,526,457,948,906,417,349,378,115,181,424,634,106,124,078,840,999,
076,834,023,433,347,152,007,385,268,514,316,442,485,973,310,981,953,523,433,
044,604,913,541,254,885,495,335,021,272,192,745,770,501,310,385,376,940,188,
339,125,468,645,849,979,942,751,050,378,995,399,154,294,312,940,578,910,169,
475,732,757,133,964,074,530,378,366,778,003,376,311,755,946,281,506,262,405,
539,558,264,686,874,317,455,063,957,586,655,356,802,849,081,162,735,305,710,
708,265,298,768,037,325,202,342,773,378,856,680,136,287,292,760,537,314,736,
539,552,021,044,324,299,819,645,864,598,627,905,303,283,857,484,893,079,515,
228,433,651,844,838,140,345,781,622,463,696,909,698,230,757,599,875,374,831,
753,896,222,126,229,966,029,168,003,823,082,545,409,110,715,801,469,206,317,
799,349,233,070,883,012,656,882,044,836,302,458,786,031,480,182,889,285,646,
579,424,019,743,550,494,582,423,560,200,454,245,303,212,489,002,732,136,156,
405,644,973,889,144,910,276,644,261,640,906,054,730,568,253,544,584,078,771,
640,114,157,102,408,373,294,871,109,157,265,501,438,359,602,282,722,442,231,
092,142,586,015,507,582,758,113,687,926,837,453,313,558,830,516,004,066,284,
190,800,867,464,437,436,543,530,305,236,326,462,548,286,731,268,520,907,342,
584,652,153,205,301,882,841,449,223,195,237,304,974,365,337,953,550,673,225,
276,487,363,967,356,794,605,764,522,456,694,322,199,651,004,802,347,723,677,
778,999,039,767,376,505,384,750,707,158,135,444,553,063,087,883,447,013,862,
648,867,767,481,779,691,209,399,933,131,064,590,280,479,629,660,319,117,049,
177,541,415,718,722,110,252,201,585,745,310,646,446,597,773,524,578,272,887,
576,136,643,783,413,011,827,779,533,189,145,058,052,350,652,483,998,136,310,
986,989,856,399,421,934,743,178,493,488,592,547,355,485,278,729,475,540,586,
859,618,951,226,887,536,972,339,282,922,523,022,872,320,797,810,213,765,216,
010,425,664,505,286,713,460,550,206,240,589,404,388,007,838,254,735,784,232,
966,587,397,731,988,004,894,111,807,281,221,680,336,184,327,953,012,374,507,
428,887,576,469,004,923,586,533,212,494,258,365,452,830,039,946,303,322,745,
674,888,342,060,732,816,822,561,708,640,083,754,046,713,151,548,531,416,194,
192,984,612,500,148,161,303,833,380,083,806,287,759,922,029,517,104,118,401,
075,877,818,023,082,076,267,094,558,759,031,084,789,426,654,996,672,086,422,
469,159,244,081,170,492,200,503,795,045,269,325,710,961,768,450,447,597,007,
986,978,745,319,912,930,125,439,946,905,000,277,695,503,764,345,117,634,665,
667,626,306,206,446,023,612,409,722,911,294,274,368,981,030,700,870,373,026,
203,572,750,619,459,207,367,714,325,039,479,199,995,748,125,080,382,393,655,
207,176,335,941,291,561,547,426,199,144,835,994,521,855,270,097,705,680,134,
213,822,254,485,849,127,321,156,529,653,755,269,782,118,374,371,613,544,888,
621,428,001,875,341,737,163,845,017,719,380,839,259,455,406,225,364,839,028,
833,145,847,097,479,540,804,428,839,573,881,845,169,114,011,118,518,488,354,
276,487,669,043,135,766,995,034,035,869,426,852,487,166,518,001,926,256,309,
767,550,930,001,869,539,021,914,355,432,146,755,339,642,010,157,118,424,788,
240,972,997,613,281,903,820,478,507,228,251,850,169,897,784,419,162,072,678,
141,399,425,788,104,296,002,608,642,852,420,285,760,088,543,440,106,640,933,
214,394,432,675,177,362,492,127,808,179,639,461,882,297,633,343,105,400,287,
073,646,941,797,809,825,342,401,895,355,729,362,011,883,884,779,104,523,906,
072,702,194,770,765,367,001,703,492,097,756,507,672,300,885,397,365,432,238,
838,919,949,072,853,575,017,522,579,310,248,505,374,553,153,286,273,656,262,
737,024,161,049,724,218,740,400,004,848,802,581,006,468,241,453,059,688,724,
548,469,668,398,078,544,171,070,184,788,016,300,372,493,524,435,160,820,097,
458,907,551,383,663,584,079,584,187,193,730,423,347,601,463,550,396,547,258,
491,637,925,353,879,540,896,966,074,427,058,174,882,360,437,597,774,356,397,
206,989,441,738,682,210,763,873,858,260,555,238,793,624,138,900,266,795,268,
648,959,549,340,929,397,120,034,770,719,072,875,369,968,493,789,721,676,401,
676,344,442,383,973,809,891,396,392,670,539,958,722,075,623,044,842,523,457,
061,306,883,152,571,949,748,794,006,848,152,996,498,309,199,530,784,067,112,
622,386,365,926,235,894,194,899,254,458,647,331,623,887,662,929,116,478,117,
750,687,347,201,742,162,222,992,487,178,474,990,332,072,693,543,347,938,969,
406,599,653,779,179,165,688,600,708,815,641,291,955,324,041,869,742,957,252,
410,563,046,782,886,946,988,103,201,896,151,483,786,026,498,211,650,050,491,
753,213,430,822,476,029,633,564,754,790,974,658,609,187,751,506,964,393,358,
473,287,794,126,897,643,024,571,991,459,351,371,749,907,053,922,351,064,689,
011,702,252,132,350,517,234,200,374,698,223,982,144,222,849,280,830,425,847,
907,571,995,180,461,406,731,486,672,364,011,057,992,395,482,920,921,748,820,
568,503,290,777,176,529,553,314,738,037,782,553,260,411,551,186,561,594,579,
783,465,563,249,121,049,998,018,146,889,288,260,941,697,550,082,259,198,384,
866,327,550,417,015,680,458,124,206,448,344,902,360,435,574,015,716,994,261,
017,411,306,563,757,592,828,452,705,777,451,795,641,753,606,177,989,405,736,
786,375,224,453,302,378,289,033,091,921,328,729,679,040,062,357,412,368,663,
266,891,334,841,190,132,217,830,240,857,092,643,695,833,195,048,732,084,579,
948,711,873,294,900,275,256,342,364,276,015,532,728,278,627,726,999,271,326,
370,919,309,082,361,489,356,917,521,801,502,721,168,187,077,940,159,846,125,
601,278,256,317,275,817,001,424,230,354,125,054,869,015,802,830,078,017,266,
115,024,626,910,275,168,656,412,800,331,022,936,425,883,401,035,269,452,003,
040,671,238,459,329,754,400,833,922,546,086,341,217,813,866,080,030,548,270,
865,967,682,029,932,327,008,884,077,220,765,687,324,002,289,569,874,892,349,
543,084,465,779,990,800,644,593,803,383,209,424,668,695,896,500,710,240,508,
523,303,686,203,202,123,066,553,238,912,876,348,934,702,783,035,999,568,360,
932,662,015,492,627,274,429,689,453,890,601,217,114,324,454,974,886,429,155,
864,919,854,867,338,267,815,782,113,132,875,206,203,793,474,841,675,596,628,
339,951,862,922,870,503,533,369,588,874,482,458,554,510,811,072,286,797,611,
036,085,942,636,317,112,704,648,228,751,715,071,652,526,112,483,430,812,324,
283,509,060,617,711,067,388,381,524,460,155,866,621,685,605,938,419,912,954,
849,163,836,860,840,780,585,234,700,081,221,207,141,202,313,976,414,770,119,
920,560,283,073,109,881,481,799,590,893,606,357,032,708,874,991,208,302,448,
702,606,597,281,445,996,783,578,446,067,730,398,884,951,829,322,549,215,993,
058,351,369,363,558,576,673,000,553,522,110,606,346,817,886,292,831,411,605,
462,652,808,470,386,939,711,573,453,506,253,706,422,118,420,971,064,915,791,
062,319,279,846,163,165,049,710,715,418,412,641,275,040,407,233,560,844,477,
257,713,961,741,691,119,728,714,249,142,877,585,522,174,043,419,244,595,299,
477,109,503,797,211,726,232,337,127,555,096,316,137,231,335,624,031,554,601,
044,049,084,125,135,565,293,448,466,436,878,569,218,739,927,027,134,454,085,
490,707,629,043,840,675,620,570,982,030,985,299,428,204,292,040,666,808,383,
721,598,784,150,917,623,917,902,193,384,309,970,954,921,173,081,353,266,015,
095,782,748,590,261,254,989,163,343,659,863,479,751,322,298,701,962,025,314,
320,686,462,060,328,935,458,637,981,019,801,984,099,128,809,691,707,928,070,
351,650,577,905,901,951,978,536,721,285,423,753,922,528,060,902,316,184,583,
169,229,406,832,878,171,476,561,156,487,578,381,675,651,690,837,294,810,116,
266,193,999,709,674,213,994,963,969,836,857,540,340,104,141,447,170,591,049,
689,417,368,665,442,414,253,171,946,812,580,050,796,118,139,765,181,468,099,
946,125,481,289,973,366,013,680,980,099,276,450,986,529,371,851,807,898,991,
000,350,495,412,484,114,623,069,892,593,730,824,545,895,253,023,657,629,040,
749,693,196,546,550,993,417,821,385,131,804,780,941,327,212,937,044,611,452,
828,265,923,255,344,829,135,019,718,419,846,205,838,457,900,310,721,236,224,
657,228,800,790,797,928,931,281,798,786,719,299,431,488,836,795,383,679,346,
691,108,411,322,612,703,701,676,986,035,950,572,970,839,050,028,195,488,408,
824,873,329,493,439,534,815,456,262,619,840,027,024,053,417,003,535,198,352,
616,608,316,058,741,938,254,008,655,067,403,717,418,706,756,628,127,334,734,
613,955,253,432,045,969,431,002,958,947,925,523,327,779,422,547,625,128,814,
101,812,279,838,252,227,182,463,299,003,806,744,931,783,466,876,077,756,517,
109,497,375,380,073,702,138,798,162,800,936,080,463,643,845,580,784,548,399,
311,847,841,871,427,697,356,198,250,040,946,727,615,518,370,689,849,357,049,
954,494,736,927,196,955,931,600,598,789,943,756,576,192,909,951,504,266,701,
006,432,768,510,220,867,416,170,255,363,939,781,117,676,600,181,622,097,010,
548,525,037,811,985,079,850,174,252,669,626,932,242,732,422,820,623,057,362,
636,110,129,240,351,684,273,641,167,603,617,578,240,725,476,678,766,271,388,
893,451,356,964,601,466,712,284,357,279,321,285,262,536,607,151,482,308,703,
945,605,413,300,107,289,543,062,786,341,198,702,433,476,529,519,562,659,957,
374,416,068,846,388,806,523,879,226,837,518,290,548,333,550,536,083,066,199,
323,787,831,505,592,374,445,805,386,153,246,218,227,944,265,604,768,872,609,
474,838,838,322,414,743,938,458,083,126,551,163,740,135,912,574,527,364,701,
100,666,269,482,100,114,934,907,432,975,986,182,492,423,311,078,985,402,112,
709,461,590,363,729,548,108,521,510,718,103,066,882,006,008,897,817,235,348,
766,901,381,937,313,012,711,992,021,684,075,218,063,216,888,440,919,740,270,
749,943,226,665,160,861,898,232,260,480,154,370,444,499,203,069,879,715,825,
375,341,295,615,967,001,797,287,974,365,090,313,174,877,893,060,587,815,069,
137,516,475,914,419,676,286,500,789,391,725,819,587,555,423,183,179,067,602,
237,357,460,522,916,314,755,164,355,867,992,764,730,970,081,809,504,468,694,
493,695,211,795,575,843,125,683,394,952,707,097,689,320,763,897,159,604,304,
451,192,494,885,887,455,052,911,092,068,928,977,154,464,942,879,078,978,783,
809,600,451,777,689,058,465,158,466,800,344,986,578,238,033,367,357,486,070,
435,055,233,423,011,438,445,578,107,246,131,530,142,537,721,434,754,673,775,
847,518,977,213,005,392,174,891,203,884,742,097,237,806,430,172,095,567,259,
814,165,201,431,507,929,208,622,066,385,107,738,238,353,436,081,484,010,746,
374,671,577,458,869,902,971,665,762,229,777,999,892,274,668,591,467,946,068,
167,843,543,561,803,700,095,100,805,560,344,885,307,174,213,700,887,431,338,
132,539,871,243,564,411,028,845,901,933,619,115,070,372,983,463,746,369,379,
545,716,575,150,056,972,673,423,331,988,708,068,969,138,380,216,680,572,796,
405,805,715,478,694,942,094,067,746,812,572,119,951,530,059,529,786,921,683,
667,150,559,249,341,681,393,688,488,116,693,509,323,220,483,085,604,955,746,
423,860,796,424,941,956,829,896,548,471,549,029,235,236,760,396,708,089,959,
224,288,420,872,101,885,655,193,836,157,655,716,179,530,214,462,372,333,764,
537,621,056,949,765,255,485,452,297,056,171,136,234,969,163,825,433,024,774,
074,973,040,419,855,920,703,388,486,252,778,502,356,157,682,286,777,749,942,
712,993,727,972,902,112,130,138,182,366,903,685,030,963,011,660,314,115,976,
428,914,245,283,781,455,988,764,107,800,071,027,134,945,164,049,444,375,803,
808,548,715,808,146,403,416,076,577,540,082,534,444,920,324,825,377,663,443,
534,646,412,507,368,402,171,958,587,291,050,685,055,939,837,136,418,254,546,
791,029,806,719,938,688,065,050,896,231,921,954,791,975,380,385,709,454,364,
598,363,620,975,796,746,460,015,344,395,512,213,147,743,033,513,868,028,830,
082,313,844,526,337,125,207,351,455,098,798,456,585,153,466,322,749,157,128,
686,419,193,652,070,964,911,733,054,686,905,487,123,627,426,387,078,359,122,
354,820,130,889,437,592,010,366,283,189,137,100,996,562,510,917,016,953,246,
309,353,706,990,500,658,422,197,150,782,546,399,240,663,886,009,675,970,052,
260,766,661,618,000,116,668,697,536,187,706,530,753,854,098,394,563,110,810,
275,155,537,248,437,758,231,097,918,599,655,818,326,579,898,765,447,884,798,
783,204,894,378,185,368,455,469,031,417,272,596,593,438,504,477,068,764,902,
035,642,205,375,254,245,113,268,872,352,785,992,853,448,018,742,693,127,634,
597,488,580,909,110,474,678,903,530,917,248,159,586,255,153,878,260,475,771,
612,378,578,888,933,722,300,390,478,732,413,301,282,029,059,655,906,250,450,
741,005,787,740,030,738,238,153,913,058,845,208,830,044,746,600,453,056,414,
105,180,213,394,966,298,048,264,913,181,737,877,330,718,556,216,374,730,278,
619,420,976,530,367,120,755,596,441,439,424,122,493,340,949,250,715,306,357,
900,190,872,409,115,843,405,118,953,022,642,420,199,480,087,715,200,938,356,
536,365,892,399,577,538,494,702,824,925,245,605,692,343,795,302,958,353,213,
854,647,132,993,693,468,199,168,651,331,322,179,808,750,218,863,800,523,177,
546,414,566,019,541,020,850,433,995,604,398,851,909,720,637,035,631,257,635,
232,870,478,978,787,828,510,208,050,557,361,585,015,262,742,825,505,435,956,
189,904,374,968,533,453,481,421,969,889,915,347,873,276,087,506,868,253,570,
338,489,082,470,040,698,353,421,968,719,045,572,801,393,019,893,794,255,392,
057,349,539,087,088,376,419,495,733,731,863,896,530,254,476,039,191,128,474,
079,350,526,218,717,556,457,905,916,052,368,434,145,353,349,702,877,641,162,
714,790,576,548,563,796,398,950,088,056,215,161,218,806,911,923,720,317,956,
941,782,132,261,344,708,040,830,389,823,422,138,466,553,249,351,015,194,301,
493,115,633,789,931,306,846,619,562,627,165,394,617,390,406,407,478,314,885,
565,890,853,132,879,527,678,426,129,904,527,967,339,021,687,636,586,212,239,
904,602,411,982,045,744,659,249,333,231,688,061,786,938,745,769,414,139,630,
019,361,028,890,850,977,472,276,920,551,004,231,820,179,671,424,819,258,269,
884,574,752,977,162,702,854,163,133,393,446,766,578,104,842,032,757,616,381,
583,694,148,541,150,579,664,153,191,704,979,995,004,556,629,422,528,570,733,
785,377,239,496,379,248,593,083,445,725,730,026,333,660,321,360,595,847,077,
457,525,513,281,232,069,948,249,283,095,935,308,247,968,387,236,130,502,305,
243,617,281,113,574,827,126,781,169,846,981,193,322,137,106,040,702,321,945,
208,217,428,628,746,361,752,958,558,629,364,045,792,912,559,141,467,148,235,
759,619,297,979,715,947,855,790,131,966,376,155,732,662,286,733,280,427,178,
334,038,448,880,050,234,974,879,829,617,477,421,651,911,120,335,841,286,304,
236,111,131,192,800,198,632,860,432,742,496,744,717,359,868,333,384,666,504,
896,382,571,443,032,988,228,518,218,603,043,664,314,924,247,514,559,831,869,
188,278,516,051,609,529,533,248,580,687,284,536,322,610,029,318,601,448,151,
642,889,741,189,988,453,068,056,395,914,511,647,087,170,202,846,924,269,155,
424,957,490,794,993,625,230,594,322,058,537,248,719,166,918,318,110,080,724,
043,984,759,497,584,010,975,556,087,611,866,883,421,023,008,185,739,480,119,
599,221,145,605,909,284,408,649,626,443,174,218,628,829,472,120,218,778,981,
104,269,308,164,787,938,209,730,626,612,043,571,528,034,975,308,640,293,146,
810,535,113,499,211,327,951,926,770,099,860,664,388,688,496,263,277,428,021,
460,423,543,423,839,235,558,504,913,520,575,099,986,215,832,177,065,877,538,
035,739,869,185,253,198,518,816,865,609,382,564,519,168,304,099,602,361,089,
285,666,885,131,585,362,686,328,851,512,492,177,257,341,732,427,057,427,974,
339,271,976,455,326,785,909,148,012,409,921,290,116,012,837,008,417,648,121,
169,857,407,757,144,347,928,386,239,573,894,562,131,786,367,022,166,932,131,
081,591,026,786,657,487,758,412,258,737,990,572,610,861,729,887,291,791,687,
973,814,658,731,642,996,393,567,554,313,246,390,295,674,242,768,363,502,784,
728,715,681,047,765,153,634,544,146,761,438,671,235,364,366,099,135,304,836,
446,870,268,977,580,283,536,039,373,293,893,423,042,952,311,224,150,695,959,
676,201,834,478,394,197,156,514,103,970,774,770,543,178,358,232,696,931,554,
077,755,767,274,194,557,336,725,406,169,370,280,316,530,952,593,052,064,060,
970,223,428,077,498,036,683,887,134,355,079,601,036,939,974,908,487,309,279,
467,220,984,906,742,300,740,276,314,984,265,549,027,417,352,619,855,613,438,
033,251,993,842,525,202,669,917,931,354,548,556,323,473,388,717,565,776,563,
286,581,776,784,797,662,533,695,354,144,834,180,555,362,840,356,668,085,689,
280,458,282,422,851,962,796,030,754,396,774,215,416,943,179,399,858,460,014,
702,368,973,049,815,908,681,303,285,585,361,335,643,013,931,292,542,575,394,
160,962,719,490,034,554,935,061,618,410,037,675,099,306,944,117,177,980,972,
170,997,974,889,887,021,407,926,736,040,039,046,137,376,042,510,055,780,874,
921,652,682,886,661,889,118,478,080,030,177,780,183,505,606,421,077,956,993,
441,005,384,490,298,162,193,565,684,655,532,613,416,408,465,822,051,323,720,
009,214,096,028,592,409,510,976,086,880,857,959,094,238,570,329,398,137,820,
566,877,515,805,216,935,885,152,226,474,417,774,633,605,419,983,382,813,116,
589,245,725,329,036,828,567,613,342,127,755,903,072,577,454,940,294,756,675,
840,222,715,900,334,853,970,783,513,719,171,612,622,418,246,799,912,751,913,
300,591,604,513,797,922,936,629,767,920,102,735,924,127,313,077,446,620,200,
852,574,961,109,166,479,467,937,820,684,932,678,057,756,827,261,530,953,908,
812,238,149,106,327,664,235,439,160,792,132,370,212,747,832,741,642,232,916,
404,008,247,501,616,347,250,962,958,560,765,101,486,030,520,282,376,311,534,
357,682,426,692,840,249,851,189,548,882,673,809,019,757,445,155,177,759,155,
763,606,376,868,342,576,544,519,613,616,794,145,893,468,026,773,059,224,467,
978,982,435,597,516,774,411,842,821,353,364,508,350,653,893,062,855,708,284,
721,457,268,520,028,513,033,869,914,734,718,519,426,729,728,604,595,512,834,
046,828,150,144,827,746,824,820,701,004,704,483,042,861,918,077,140,393,689,
841,463,034,990,455,780,782,733,011,422,136,053,513,114,268,423,291,308,597,
190,679,659,353,312,364,874,870,329,358,954,544,112,651,641,913,048,063,781,
785,724,499,907,257,585,520,398,364,285,905,561,473,374,375,609,581,983,884,
228,884,818,804,139,020,930,854,499,923,040,112,756,042,911,784,085,706,987,
788,221,698,218,243,343,029,045,239,344,841,790,109,562,611,432,720,984,775,
364,856,445,883,253,565,253,992,600,274,097,059,743,238,687,817,884,506,831,
833,972,110,558,312,167,900,887,223,821,889,698,404,425,621,989,622,798,950,
403,600,904,446,844,423,432,416,812,872,465,172,577,530,694,853,469,821,849,
295,948,580,521,632,349,671,096,895,261,202,805,259,324,794,697,193,767,126,
306,217,948,804,055,260,054,525,673,253,280,997,384,773,282,320,450,252,777,
564,709,214,533,736,061,540,866,840,328,183,745,442,085,071,182,711,940,259,
515,414,208,420,079,109,509,465,922,318,141,835,012,334,124,623,611,187,637,
783,629,115,082,629,400,581,088,944,163,643,578,505,574,383,952,308,723,307,
311,271,691,323,394,389,728,803,271,954,134,815,190,672,731,977,644,985,771,
412,468,793,945,595,590,966,580,646,832,550,772,801,695,797,707,499,172,927,
181,237,190,018,233,911,870,974,786,078,702,666,368,536,229,753,814,072,034,
460,474,621,486,811,303,786,068,233,695,618,766,135,499,627,847,758,303,683,
389,103,166,834,765,993,469,282,380,415,612,276,827,731,591,228,154,879,022,
515,874,144,940,796,765,979,396,383,852,429,316,707,541,590,600,211,910,655,
575,653,906,940,754,074,894,795,984,721,729,910,551,025,942,444,796,682,917,
070,455,499,255,227,105,469,963,574,449,943,678,986,183,491,036,866,531,666,
535,713,984,524,691,224,891,341,918,877,990,167,272,073,412,851,763,732,855,
093,457,836,947,041,296,924,717,868,583,780,618,122,608,301,719,520,801,305,
740,100,597,494,248,705,555,600,235,282,808,916,776,864,577,409,159,149,177,
818,205,855,999,610,578,255,162,781,426,841,323,382,156,526,663,458,797,155,
597,772,966,751,082,235,349,371,210,140,327,348,253,428,807,453,357,544,773,
201,442,807,727,328,372,430,310,082,856,773,896,246,046,091,485,979,744,736,
082,857,554,090,235,465,768,803,683,576,106,283,257,570,855,502,741,150,076,
722,828,870,756,524,192,864,964,898,272,008,313,777,880,052,823,197,158,602,
811,245,833,329,980,308,995,185,868,250,484,217,095,650,201,106,553,024,866,
780,268,245,792,365,684,213,297,773,793,199,851,753,276,838,710,859,103,449,
477,332,920,013,825,223,407,007,283,053,496,785,482,834,664,942,053,284,529,
557,531,375,181,524,936,262,593,916,461,719,806,806,356,912,368,645,384,992,
193,182,677,423,773,390,967,197,741,882,673,476,715,429,018,646,877,388,618,
105,727,718,871,214,505,798,976,233,327,710,900,302,674,311,194,016,436,191,
223,484,692,971,754,658,198,658,267,251,218,381,443,428,765,866,118,375,374,
348,361,935,117,552,016,752,687,721,382,675,930,946,821,557,996,593,244,229,
297,408,019,816,032,048,726,251,674,718,676,634,931,283,010,256,266,617,451,
213,937,095,979,996,015,497,795,642,436,318,877,602,197,074,791,044,497,412,
024,869,045,264,747,103,352,051,589,532,834,692,013,983,147,819,478,158,197,
700,187,693,223,545,413,782,954,152,519,594,778,172,734,199,669,607,754,003,
748,806,212,826,541,596,484,811,967,759,612,025,693,886,822,292,552,820,549,
197,133,371,296,988,609,180,645,435,138,928,156,671,089,743,783,264,106,386,
637,131,088,991,897,888,912,896,989,703,589,166,176,312,910,638,168,633,551,
058,640,197,625,406,854,438,947,974,491,010,088,538,051,472,818,562,577,772,
399,395,723,856,621,837,473,992,686,614,293,419,245,921,805,496,850,312,506,
475,878,815,675,768,983,471,535,460,786,263,610,371,353,269,775,226,281,245,
836,257,081,992,678,402,277,878,343,194,027,313,155,025,850,541,972,074,108,
500,339,843,048,864,860,846,805,894,470,164,622,962,602,353,317,655,065,164,
217,100,991,064,127,442,746,021,394,314,160,226,327,712,422,539,807,767,912,
142,299,752,231,800,585,428,556,221,626,349,647,083,878,973,837,032,873,528,
814,613,916,411,033,650,403,882,926,440,807,549,780,160,447,941,711,996,873,
674,334,657,419,624,653,949,203,773,711,425,415,359,893,625,933,037,891,211,
597,857,067,483,346,369,632,594,232,088,896,565,123,357,632,272,123,017,624,
409,774,088,352,201,010,835,008,838,806,618,574,760,314,415,289,815,596,059,
606,567,647,936,851,163,643,617,256,482,789,865,780,016,668,417,478,639,620,
871,268,225,488,262,286,646,139,867,264,275,626,252,925,993,511,935,727,211,
887,061,573,022,164,883,931,729,007,983,524,942,315,701,515,726,791,794,553,
727,144,184,879,347,106,559,288,336,615,862,858,988,022,281,146,909,372,666,
350,642,329,767,367,332,558,010,396,184,076,814,964,903,658,260,107,287,592,
960,596,693,814,011,712,184,236,839,784,413,869,612,106,831,226,465,577,331,
240,057,811,303,950,023,746,870,290,840,553,309,391,087,846,958,610,335,910,
961,804,004,943,642,730,807,877,115,210,280,989,713,244,453,128,677,106,180,
679,807,377,069,539,471,464,008,439,110,310,543,960,243,894,188,744,727,095,
358,714,005,541,728,299,347,402,008,095,197,749,617,340,934,142,263,006,084,
985,483,249,209,819,721,717,755,229,436,327,469,900,819,777,188,497,049,405,
971,535,927,110,936,798,735,576,672,849,492,557,820,098,669,808,737,736,461,
726,892,149,413,994,494,215,113,019,334,268,317,621,877,216,497,241,522,590,
853,380,879,216,518,693,130,992,772,585,760,981,623,619,749,054,344,146,078,
417,164,563,858,042,472,880,576,273,941,272,430,512,325,549,627,786,600,436,
242,746,925,573,569,797,054,528,481,622,808,544,353,639,384,258,142,249,858,
828,655,907,637,391,449,903,426,873,438,181,348,265,261,994,750,733,692,964,
032,940,453,932,420,075,197,363,549,101,241,080,442,105,301,306,360,082,773,
916,596,016,329,694,444,641,576,850,882,889,076,683,802,472,754,219,141,156,
865,421,470,969,296,274,814,023,552,495,007,871,837,635,606,494,383,912,770,
279,517,332,658,026,891,601,212,387,024,961,600,311,348,091,855,581,679,827,
326,146,185,765,370,733,105,056,389,803,451,631,105,481,099,354,851,232,818,
697,973,046,235,221,432,829,029,699,390,826,565,479,363,540,701,756,994,375,
053,418,317,643,274,997,611,343,262,792,270,232,136,153,945,500,607,611,015,
256,248,923,715,391,929,604,968,415,334,081,963,928,559,693,707,362,364,779,
765,941,380,624,238,022,789,468,725,554,426,149,450,766,189,197,180,425,731,
688,922,165,828,458,649,903,786,824,894,780,712,844,324,925,282,505,878,260,
427,089,203,542,267,904,022,590,591,791,008,258,280,649,644,975,566,750,477,
853,254,910,999,429,791,878,367,906,167,447,286,461,325,820,706,280,548,955,
367,645,887,457,363,768,897,453,283,672,847,188,808,847,715,616,149,839,696,
276,862,949,368,057,690,497,485,917,605,424,756,468,859,607,489,916,441,761,
782,078,045,039,427,390,102,999,601,746,360,984,264,334,620,177,370,550,265,
713,968,739,816,007,100,107,242,564,828,114,836,749,868,295,412,226,142,245,
743,098,677,789,795,856,942,782,754,600,123,990,407,324,975,171,162,623,144,
586,812,013,090,357,283,431,682,379,806,928,529,652,613,628,071,399,171,334,
058,146,023,176,545,965,560,498,812,390,606,972,882,770,551,554,029,363,058,
117,223,086,086,858,960,231,055,689,731,987,456,357,587,905,208,074,022,140,
370,143,018,357,169,214,514,655,796,387,710,170,269,152,687,108,016,931,896,
110,276,042,597,715,856,419,802,880,031,711,454,792,212,992,788,883,949,750,
234,068,192,262,151,254,857,271,922,398,554,958,027,931,462,907,279,212,602,
783,179,907,830,120,520,249,802,764,850,688,849,497,733,700,633,227,097,087,
288,502,626,077,595,984,781,704,346,966,864,604,156,195,152,288,922,587,073,
889,835,933,607,245,615,854,789,086,753,150,239,371,595,063,038,527,428,739,
824,168,737,634,850,340,915,419,314,107,733,685,969,006,569,477,043,202,174,
519,910,598,090,555,912,004,884,705,339,802,533,795,955,788,444,793,643,584,
169,049,248,177,863,030,937,861,616,095,281,373,216,312,285,908,101,021,925,
946,638,780,241,172,907,197,319,036,534,035,122,207,779,084,548,823,136,641,
083,162,588,917,338,464,680,345,311,937,779,461,530,058,360,254,560,582,542,
278,043,838,132,245,828,437,538,437,304,117,634,466,558,086,859,590,935,137,
647,834,986,880,625,117,926,136,573,405,288,550,422,769,937,572,464,518,837,
860,071,899,736,284,346,228,628,289,502,600,060,870,410,243,565,028,997,282,
230,773,493,986,075,657,000,033,739,880,684,985,134,939,196,134,055,705,189,
709,943,286,575,963,005,065,683,877,900,344,780,227,565,120,248,254,549,168,
744,520,408,507,621,826,701,891,433,268,622,378,488,171,080,296,644,791,021,
957,915,675,101,745,104,902,780,842,384,433,220,171,764,570,165,638,981,589,
947,241,769,648,590,917,705,825,275,391,818,158,171,725,630,985,146,216,698,
006,048,405,213,926,990,614,099,151,988,497,582,013,700,492,618,903,898,579,
755,453,098,358,409,642,413,155,049,296,074,112,170,317,541,934,531,480,958,
424,440,505,539,290,139,634,102,520,159,542,677,126,610,004,384,153,875,136,
445,650,453,180,645,009,515,345,000,084,694,677,239,903,968,346,936,709,189,
340,791,101,816,494,611,414,385,153,813,558,348,205,952,941,102,884,034,610,
380,544,460,595,576,440,760,318,667,598,416,744,630,521,988,700,662,563,248,
983,177,468,386,321,998,181,141,641,644,021,968,283,679,276,276,068,306,024,
605,283,798,469,651,391,746,102,592,722,743,102,201,966,067,306,875,293,841,
618,022,532,422,966,812,686,025,362,436,908,822,481,274,055,989,642,198,167,
609,340,473,960,943,377,126,302,639,499,816,519,060,208,239,541,420,610,650,
191,555,997,629,878,699,713,878,314,416,536,506,809,352,347,549,772,168,066,
443,692,010,340,050,857,600,372,173,626,168,517,358,792,881,577,249,248,366,
058,773,939,411,913,879,483,617,624,769,300,442,292,205,245,412,331,604,184,
723,848,952,356,087,814,127,874,941,881,786,052,373,788,753,965,291,528,022,
452,815,936,350,005,817,859,396,362,230,928,250,333,581,289,589,987,068,199,
731,589,314,110,676,628,594,535,714,784,353,805,362,122,512,861,230,377,021,
626,285,314,453,970,424,161,814,335,863,101,577,762,901,904,441,985,034,182,
872,577,140,799,759,240,840,169,745,781,131,048,600,539,672,390,545,585,090,
113,841,005,153,874,742,881,596,526,297,521,962,854,044,225,057,625,518,088,
665,256,125,027,705,668,624,124,586,990,661,850,624,080,887,500,636,654,575,
938,487,174,475,000,873,890,999,073,524,405,037,512,269,582,068,908,222,331,
128,182,253,769,296,220,061,151,595,327,553,653,124,892,132,678,817,245,985,
845,027,126,490,244,600,530,982,405,758,771,383,890,465,388,567,639,533,124,
919,615,910,297,402,970,541,603,651,858,109,488,953,174,736,163,328,262,626,
650,911,242,123,397,963,967,468,578,348,672,449,071,969,964,943,014,220,542,
683,032,562,629,591,432,522,645,296,707,241,912,070,018,093,930,868,946,656,
871,550,215,926,947,090,337,852,727,407,806,182,736,653,985,638,660,460,450,
640,860,379,547,273,951,910,048,643,290,246,666,263,005,290,751,055,991,646,
463,135,489,508,221,468,563,171,526,453,543,048,914,140,363,658,202,735,934,
965,423,088,211,736,418,278,333,564,479,355,732,570,372,305,792,056,554,848,
862,011,970,940,208,957,458,920,005,003,825,549,206,991,366,595,388,496,051,
136,233,451,319,651,774,098,275,871,109,593,130,108,353,510,261,825,470,566,
836,899,996,528,683,588,984,527,730,191,230,932,670,962,235,435,575,263,313,
028,185,664,917,151,916,339,209,726,127,796,095,815,320,428,345,907,638,647,
790,827,387,866,786,523,751,913,422,033,435,182,171,481,720,568,201,579,743,
174,753,607,711,794,274,997,901,364,298,568,487,721,629,854,518,712,127,043,
639,564,854,592,574,076,040,157,589,852,951,395,406,105,086,667,567,181,405,
817,436,089,851,988,733,008,231,046,582,091,527,334,062,498,399,772,239,738,
052,588,990,214,840,357,636,956,521,279,727,761,556,966,186,157,458,980,408,
813,571,756,312,945,482,202,771,796,348,853,732,763,058,526,272,552,731,640,
167,888,778,082,035,897,291,049,332,323,605,982,543,353,776,596,440,592,627,
522,504,824,803,072,256,481,988,386,379,159,199,615,203,107,427,172,548,682,
282,514,679,500,376,919,096,278,963,537,868,674,289,557,586,038,717,353,324,
703,979,542,492,133,396,679,827,543,016,163,361,138,403,924,806,047,992,326,
639,065,794,997,314,276,264,958,986,999,178,306,865,472,519,874,467,773,761,
064,064,979,285,192,802,793,837,082,534,354,445,374,024,793,046,541,384,431,
717,411,291,718,614,848,127,280,761,410,622,725,703,893,987,953,761,006,488,
893,288,625,651,762,242,801,905,546,734,838,963,257,558,781,657,838,167,670,
882,668,522,106,955,345,698,318,611,066,083,576,378,488,882,154,083,114,884,
704,577,806,603,017,963,041,826,047,230,953,420,272,430,989,404,159,448,697,
120,599,623,121,427,540,603,769,929,153,719,064,172,374,097,968,326,947,353,
835,949,565,727,273,048,194,200,753,617,259,098,480,695,739,817,595,880,521,
778,668,323,633,010,741,318,841,671,410,199,681,314,851,777,454,768,802,151,
591,145,578,516,975,499,982,451,205,144,799,805,926,556,013,708,345,372,282,
581,968,185,463,711,352,043,770,113,236,793,438,771,372,932,917,876,566,293,
751,819,573,312,909,780,850,480,390,135,545,565,073,349,686,676,101,077,985,
438,454,074,256,045,663,031,382,064,164,229,355,826,902,504,170,075,536,518,
238,272,219,147,439,360,140,273,126,986,704,372,291,740,935,805,884,333,363,
375,942,977,110,374,056,250,033,741,890,845,451,393,556,592,925,818,467,325,
883,827,136,823,133,340,486,884,862,989,706,732,975,708,209,202,550,716,976,
843,392,896,205,704,664,883,852,166,873,136,319,799,086,700,266,653,591,551,
658,234,800,669,199,431,131,639,880,484,953,477,400,862,545,750,481,213,863,
712,264,709,332,835,578,154,555,059,046,936,344,646,601,511,525,617,667,442,
672,430,753,315,642,659,176,589,312,992,552,744,393,367,196,016,643,916,094,
052,986,596,222,963,851,707,832,403,251,894,233,187,277,870,726,849,616,643,
005,695,482,072,133,019,941,824,180,665,691,289,701,216,743,387,714,624,613,
113,741,109,769,972,345,508,493,168,773,769,063,055,263,342,780,063,071,057,
358,229,034,638,959,193,141,326,760,939,484,804,693,054,837,591,897,207,269,
793,241,543,560,039,505,259,559,567,915,329,326,335,690,275,779,739,407,057,
548,550,842,620,982,340,930,526,329,683,731,608,244,668,327,915,549,626,332,
998,160,384,641,996,156,529,724,114,347,379,018,582,555,470,984,160,381,392,
197,383,462,766,830,789,944,240,910,581,316,841,483,679,727,013,860,393,883,
026,185,361,333,363,907,526,827,960,792,529,401,481,890,457,287,537,754,408,
638,476,715,136,878,899,576,617,122,261,048,224,913,942,009,195,851,381,104,
360,949,237,182,092,467,439,943,030,398,217,113,587,402,688,947,146,341,380,
612,027,730,130,219,605,135,960,381,555,279,210,007,553,376,386,270,985,255,
485,629,302,836,625,801,333,214,893,366,218,224,476,730,626,616,525,250,433,
340,062,857,280,858,575,607,286,117,601,682,725,643,677,795,780,920,444,068,
028,825,931,375,502,623,988,886,566,460,083,449,012,076,766,237,713,661,364,
527,449,281,639,162,469,175,330,277,779,309,857,066,335,473,009,095,296,127,
520,332,212,170,218,970,765,119,970,609,327,614,171,995,804,639,210,881,783,
562,941,801,595,457,937,525,596,908,854,684,962,413,256,172,263,315,605,431,
140,339,500,008,282,237,310,670,179,788,655,278,163,727,507,614,112,545,346,
447,342,142,759,475,341,221,400,823,538,188,247,064,369,112,259,355,492,731,
037,058,975,742,222,290,057,408,192,924,366,089,055,700,698,889,188,065,337,
836,045,879,850,165,988,908,747,804,685,248,165,719,933,940,770,937,290,959,
639,064,123,850,897,173,047,175,024,234,359,164,020,343,810,263,604,847,776,
438,661,062,096,699,816,864,175,322,508,759,926,661,425,280,187,173,892,800,
930,609,097,685,559,032,641,852,750,264,917,035,271,465,687,992,716,786,221,
723,774,600,562,704,069,085,337,428,217,510,842,589,987,154,811,518,462,666,
609,287,474,170,299,246,280,429,118,538,551,077,752,603,063,310,525,474,148,
723,791,743,159,994,391,991,317,817,762,963,167,206,394,342,879,516,969,239,
937,741,222,619,993,700,677,019,110,478,279,546,906,051,955,973,665,654,339,
115,043,075,564,959,659,884,487,276,926,474,090,771,119,650,338,507,554,292,
192,916,129,755,270,701,121,979,043,053,896,475,617,752,806,424,364,805,529,
769,019,644,517,426,491,183,754,240,776,240,907,964,854,639,706,258,985,652,
790,634,801,779,799,192,102,075,505,418,665,295,482,244,616,844,611,904,519,
337,581,598,955,348,644,708,354,750,923,791,354,539,494,947,941,828,968,545,
003,030,809,476,478,942,199,221,629,072,852,196,704,393,904,575,092,077,479,
739,772,852,922,726,224,206,073,863,146,552,325,131,062,899,720,757,573,984,
224,307,981,970,850,548,754,933,802,749,955,629,724,207,460,018,128,262,501,
480,501,377,802,352,974,677,176,165,808,169,275,978,152,154,721,381,328,330,
720,727,310,326,114,863,523,145,517,875,836,374,257,360,495,209,096,927,421,
527,377,004,902,922,459,923,968,973,399,999,530,466,870,473,726,798,608,827,
056,410,137,608,738,641,148,755,180,420,625,746,981,463,072,997,890,893,041,
967,308,315,241,722,782,185,236,382,013,266,301,275,664,579,084,435,630,962,
375,159,046,172,782,660,615,590,446,740,793,901,918,749,329,094,256,311,761,
463,505,983,186,395,949,663,055,749,375,622,215,450,477,546,125,760,368,625,
262,259,394,303,544,389,277,203,639,728,327,642,802,752,499,743,198,754,036,
680,772,542,087,233,956,269,836,952,644,853,821,860,211,588,077,026,941,486,
945,055,451,024,410,714,868,311,471,652,828,479,542,610,318,488,473,035,748,
352,862,896,681,032,904,059,516,732,923,384,881,426,736,541,619,115,372,077,
360,508,909,737,791,203,456,914,541,692,771,960,634,831,788,324,459,404,311,
586,340,609,380,343,024,100,759,283,255,945,814,808,134,254,342,612,360,367,
831,988,444,402,657,430,886,087,516,933,864,618,054,312,811,679,323,102,706,
028,084,024,061,556,733,123,999,631,159,543,928,691,944,370,476,659,390,830,
977,011,202,807,466,314,447,300,397,767,043,337,676,903,015,238,975,325,474,
853,036,330,822,276,625,242,652,154,588,658,666,683,540,402,463,558,115,877,
003,565,583,368,733,484,821,614,464,197,796,290,526,844,965,222,053,440,263,
898,806,590,106,589,439,457,572,208,569,636,528,841,523,102,862,769,598,267,
715,225,385,192,999,273,504,013,793,072,614,263,744,026,958,560,960,862,996,
589,956,655,203,123,814,545,837,379,868,042,745,139,495,374,085,743,144,117,
685,934,734,791,401,702,045,904,600,588,009,757,782,564,796,718,964,098,576,
363,916,732,745,552,562,198,130,741,405,017,534,137,688,730,519,039,146,679,
720,024,622,780,848,032,190,874,546,082,305,595,841,311,037,526,574,481,163,
017,045,900,630,296,375,688,284,933,286,428,405,669,488,978,228,925,196,284,
557,772,745,948,702,793,178,438,728,660,577,507,300,336,656,566,873,752,586,
744,545,492,663,757,189,814,314,813,218,654,275,979,222,672,396,624,913,186,
339,593,881,416,902,223,025,248,301,469,814,105,829,101,881,293,144,579,866,
697,099,894,062,625,762,302,631,720,220,010,290,620,001,188,535,557,719,211,
781,892,472,053,950,235,653,798,595,744,681,093,788,683,783,361,606,585,455,
130,718,687,992,057,321,435,285,727,612,617,179,093,419,013,928,687,921,594,
258,223,929,312,178,527,624,379,689,975,580,337,571,362,648,686,499,877,779,
017,047,400,636,817,670,346,340,761,736,628,204,371,739,156,874,796,445,898,
768,020,772,829,138,169,521,687,666,750,760,518,720,374,661,853,745,913,537,
339,034,906,066,656,176,897,060,189,926,682,878,367,969,733,561,366,832,314,
000,416,510,252,671,488,500,025,826,786,003,348,497,884,740,159,511,132,638,
265,985,876,270,663,905,787,549,812,778,208,452,975,285,640,725,820,714,492,
604,743,636,057,495,336,364,056,067,281,677,508,357,264,591,070,145,114,044,
203,876,812,459,918,032,200,603,092,681,147,358,695,615,083,331,393,181,188,
170,368,028,307,196,370,971,887,601,450,429,576,209,072,307,459,682,651,223,
219,169,230,850,468,249,682,933,989,653,017,246,765,828,513,661,094,375,122,
071,380,138,565,838,497,445,107,000,698,851,648,372,826,441,049,757,234,930,
596,290,689,165,193,125,004,145,367,406,916,978,436,881,233,833,777,852,114,
618,924,696,981,564,844,636,415,052,219,687,638,656,084,723,600,925,714,647,
511,840,416,698,475,213,286,976,794,271,089,712,409,575,278,444,998,379,484,
157,054,712,034,171,795,700,781,330,460,022,682,325,521,336,344,575,440,036,
680,567,072,640,494,301,442,690,985,320,403,235,755,896,722,086,277,071,777,
291,631,954,525,227,757,910,145,743,623,754,601,497,365,204,697,492,396,580,
017,689,627,850,958,326,746,175,598,428,674,151,771,136,172,857,102,832,438,
876,166,181,433,998,453,114,762,025,829,046,475,907,339,362,487,797,277,103,
425,374,400,423,935,382,377,563,544,643,363,171,876,232,086,733,845,613,631,
439,497,305,683,152,229,894,946,523,865,667,749,200,014,861,711,017,316,747,
485,100,817,707,076,904,517,347,319,951,086,654,490,653,935,158,226,795,473,
310,038,501,310,685,481,794,644,929,730,881,859,810,291,990,091,668,595,282,
811,899,527,101,562,774,959,198,645,589,460,191,761,941,076,605,317,684,716,
607,421,302,099,756,744,369,074,343,114,421,883,325,037,101,863,454,508,487,
354,415,961,462,805,182,632,159,289,704,921,441,638,969,061,723,452,094,008,
515,276,719,563,304,677,927,315,867,985,642,538,594,058,087,007,122,768,959,
162,700,712,309,191,103,682,101,573,507,573,062,121,381,746,397,260,957,769,
694,046,414,299,553,748,508,195,429,142,448,050,786,536,700,437,912,605,152,
017,007,149,287,567,377,416,497,020,105,709,361,362,567,873,801,731,613,684,
529,375,097,057,380,682,052,296,293,723,243,540,383,905,555,078,431,169,835,
473,338,230,123,589,124,857,981,699,173,723,608,888,094,083,236,204,497,101,
857,523,643,783,675,464,234,615,553,954,982,546,910,505,857,630,317,616,090,
648,751,966,489,237,829,722,056,323,602,310,367,433,989,506,266,818,420,253,
763,100,039,008,971,886,667,614,674,095,915,658,939,163,473,723,505,297,895,
570,373,792,616,841,312,207,355,430,386,026,818,204,915,192,808,510,912,198,
759,325,794,930,404,770,866,396,132,009,534,461,038,204,605,330,983,341,774,
510,441,819,169,856,182,533,264,951,002,853,511,610,710,399,801,846,372,733,
127,941,720,268,857,723,242,454,866,040,728,234,927,821,757,679,675,313,682,
101,427,250,481,590,298,419,285,994,005,185,282,802,057,121,573,918,321,944,
656,288,741,433,857,653,385,000,004,733,247,144,210,493,282,940,883,391,288,
982,565,265,823,141,012,118,836,475,000,360,204,797,879,322,853,636,551,321,
714,871,713,854,248,552,020,586,785,928,689,464,914,550,347,899,639,586,773,
448,258,039,067,943,604,286,752,712,904,846,473,424,832,677,193,236,330,163,
612,076,861,758,313,660,853,306,781,308,329,515,693,296,510,011,152,708,135,
164,404,331,763,629,472,522,260,823,184,674,912,203,993,746,374,588,864,346,
955,689,858,460,300,001,395,354,462,571,113,552,006,187,858,692,952,590,024,
224,803,020,475,015,578,582,863,192,326,010,072,380,797,897,098,690,449,131,
978,091,867,803,577,327,447,265,845,234,360,128,258,673,767,260,500,067,638,
157,913,075,086,876,895,342,760,955,834,909,744,957,084,410,814,883,012,430,
633,848,249,987,735,269,692,084,345,806,827,731,343,293,256,139,090,517,512,
647,799,196,580,027,059,000,692,321,018,474,107,721,752,377,845,377,291,997,
156,443,923,039,692,749,315,593,117,497,742,533,442,131,919,710,275,917,141,
455,626,628,303,624,657,501,557,241,081,919,361,136,295,143,033,668,615,576,
880,853,225,686,557,306,735,166,649,548,353,781,683,529,827,503,673,126,297,
506,777,677,889,335,415,705,049,748,823,329,215,485,167,604,703,455,570,762,
303,887,865,974,421,143,689,515,308,381,030,492,294,882,144,662,911,725,289,
952,575,182,422,017,949,143,212,432,707,948,284,674,565,458,582,240,703,801,
318,755,951,728,832,269,702,125,114,830,750,247,680,656,253,341,759,556,360,
742,457,112,030,643,322,658,826,268,222,231,890,387,772,070,918,865,461,769,
998,800,409,286,659,279,606,105,865,000,730,554,670,592,052,619,286,701,255,
411,105,978,729,911,192,062,618,272,944,193,050,577,574,017,328,925,996,402,
477,441,299,321,343,525,661,027,454,396,079,259,058,384,525,847,448,535,668,
738,128,140,308,096,199,947,064,291,554,238,128,275,272,627,627,461,952,776,
964,124,083,324,058,673,285,807,163,919,200,517,214,512,663,712,855,143,595,
358,415,649,919,974,462,607,827,410,696,376,049,900,358,111,116,721,757,655,
054,092,154,648,532,859,031,684,545,340,189,262,496,970,260,356,832,484,304,
996,701,248,901,588,669,102,847,809,174,668,617,703,660,429,173,932,450,464,
970,186,612,520,246,812,661,895,187,320,932,300,455,392,298,932,710,195,023,
301,354,295,671,033,968,469,544,542,953,365,812,861,897,760,110,235,831,830,
189,686,220,291,825,522,318,080,937,648,675,925,566,499,400,819,642,635,798,
026,404,910,855,401,896,274,414,615,620,178,479,048,570,320,392,249,246,432,
959,949,784,424,140,305,463,024,623,687,249,357,600,646,532,492,807,147,276,
876,924,305,733,490,373,008,848,043,707,922,658,770,989,022,599,573,968,436,
450,287,748,780,688,411,354,995,400,928,211,290,773,364,827,917,383,281,033,
430,896,212,219,703,183,438,642,884,209,588,272,231,148,469,225,436,527,915,
903,833,287,238,956,351,958,835,356,927,881,498,580,400,291,236,159,904,849,
627,375,455,592,133,916,307,645,520,904,434,690,380,182,804,917,868,319,868,
480,852,603,940,375,908,309,028,398,072,828,954,311,039,234,998,759,899,147,
751,723,401,112,939,678,481,342,744,869,795,269,315,359,851,151,032,326,727,
519,669,986,026,510,690,214,238,204,260,163,006,281,605,213,647,680,252,171,
850,304,687,163,515,528,869,070,964,742,967,992,021,363,647,846,044,108,695,
495,398,497,131,842,156,743,464,575,590,013,482,619,524,423,863,884,362,266,
643,119,898,420,648,442,958,445,930,927,731,918,713,790,763,203,373,636,326,
327,350,030,196,589,159,881,396,773,506,271,391,816,623,819,103,669,614,162,
966,541,459,202,864,208,749,016,435,469,247,027,450,529,752,271,829,832,631,
044,451,943,789,809,095,781,355,998,783,065,307,306,542,691,950,342,682,963,
549,354,152,809,338,693,263,510,837,555,964,272,128,464,908,200,402,725,889,
199,492,477,536,938,888,031,188,356,403,608,817,234,474,216,617,535,666,436,
939,507,771,602,817,978,491,502,522,831,664,284,785,451,851,563,455,587,785,
193,795,021,631,118,101,221,883,497,484,011,528,227,941,915,595,077,146,096,
405,841,499,682,236,529,195,260,364,530,059,027,836,105,130,869,602,722,505,
676,237,025,351,784,153,423,959,170,022,043,301,418,677,470,203,354,207,060,
561,215,155,133,768,983,954,578,755,946,835,122,722,086,691,800,835,232,279,
571,016,319,015,969,538,993,128,455,149,409,021,011,465,034,838,899,311,783,
429,009,683,759,813,558,652,512,908,428,040,250,770,503,868,794,718,221,378,
999,807,386,697,478,304,983,251,098,248,134,189,332,936,509,828,415,713,008,
487,442,455,492,883,941,098,792,103,489,662,318,717,709,044,104,111,718,468,
916,755,498,230,499,802,830,674,920,300,562,167,089,133,574,706,831,753,795,
201,342,287,059,969,358,541,350,281,675,330,130,098,627,333,292,135,803,590,
085,292,557,906,515,856,445,314,145,979,275,494,495,198,746,099,486,051,829,
002,898,365,375,800,609,988,041,498,259,503,878,231,618,318,314,774,302,897,
735,379,544,204,169,423,353,218,575,314,691,925,306,393,050,678,297,202,774,
584,632,796,541,311,071,853,284,054,843,228,768,004,566,566,334,026,145,671,
119,133,411,132,940,706,110,595,861,313,836,590,566,572,797,003,091,542,571,
365,297,387,936,601,243,177,214,292,739,861,884,174,509,912,982,831,855,273,
093,040,231,145,812,040,375,577,640,838,377,300,570,305,685,279,776,033,230,
583,676,385,371,325,093,811,214,935,367,902,731,448,051,110,643,920,920,200,
475,684,698,840,608,445,531,605,715,868,166,899,964,124,120,600,499,336,841,
197,756,146,471,041,256,583,430,862,234,938,651,539,761,807,246,591,701,921,
594,923,089,332,867,834,454,859,703,267,600,455,922,609,755,420,517,587,828,
525,355,250,048,634,707,437,497,354,139,960,044,958,372,332,278,932,423,355,
112,095,556,624,887,075,416,729,626,773,284,668,234,322,404,758,756,225,915,
437,662,312,740,716,189,311,023,918,221,717,227,833,492,184,783,638,832,830,
390,398,515,376,335,667,397,516,290,036,958,038,508,924,395,716,319,575,618,
659,275,956,617,925,358,701,188,259,565,415,316,828,618,663,973,341,297,209,
435,833,000,587,820,188,096,898,706,546,038,460,338,328,758,458,498,232,549,
918,028,889,366,617,498,919,710,835,448,079,855,775,873,177,462,793,936,250,
180,222,059,937,655,902,568,259,417,164,254,172,287,553,567,213,652,407,801,
113,451,638,459,971,161,784,520,139,198,074,851,869,324,623,230,233,612,907,
405,217,766,889,783,591,274,057,132,712,889,972,156,632,437,395,255,864,179,
678,177,032,006,179,944,358,572,343,839,975,957,735,141,937,061,721,840,295,
224,107,947,479,493,950,659,868,123,165,473,652,950,463,220,380,856,375,290,
234,517,644,772,390,615,381,284,862,990,592,823,995,318,392,324,530,522,784,
533,223,339,802,218,915,353,539,073,553,208,587,938,738,848,440,439,826,157,
690,334,926,222,438,107,542,245,678,382,975,379,491,121,431,813,632,221,544,
245,954,301,743,152,783,073,928,731,099,070,307,369,194,633,437,226,872,894,
344,893,507,702,219,076,754,487,346,931,696,138,821,281,537,034,773,364,806,
843,624,274,880,973,856,583,690,262,656,708,391,609,621,234,247,216,362,607,
048,019,062,504,051,980,909,830,078,204,629,063,698,994,658,198,665,814,856,
426,072,462,588,626,265,200,956,406,491,308,096,277,418,919,175,432,567,838,
650,772,240,122,899,289,923,430,513,470,086,029,793,304,664,593,077,553,418,
797,819,597,211,254,966,452,461,891,474,928,325,995,357,846,466,394,807,270,
727,271,060,293,203,389,800,592,686,177,593,846,079,193,421,617,701,541,062,
094,080,776,168,452,977,894,847,173,108,374,926,755,546,535,507,109,202,373,
577,963,099,272,975,347,482,866,382,187,159,410,758,459,111,686,607,329,351,
003,478,937,206,338,871,762,151,634,260,371,864,543,270,707,739,521,429,053,
976,759,233,050,134,409,881,512,790,185,586,398,131,237,560,392,413,530,832,
989,246,544,082,480,676,377,971,535,884,119,421,639,333,767,704,447,406,816,
347,181,245,273,866,658,567,618,940,010,527,635,727,632,742,072,317,418,009,
442,950,194,352,322,623,223,121,969,321,582,895,614,800,028,960,525,462,477,
132,416,196,829,034,013,478,926,167,082,735,922,987,769,687,282,131,757,100,
530,740,378,463,117,360,903,250,280,396,835,578,372,380,477,137,329,014,864,
908,119,217,156,841,172,760,309,368,359,306,822,617,861,380,051,437,852,855,
798,743,813,983,273,648,708,371,234,652,307,440,551,199,374,090,201,168,181,
877,028,460,421,115,870,045,543,771,120,777,852,407,991,272,244,567,071,508,
826,130,989,138,702,256,162,319,959,927,943,861,200,388,729,088,952,327,258,
432,123,954,325,048,582,895,215,488,688,189,070,579,917,971,272,701,235,772,
314,668,650,553,910,302,289,758,253,580,974,061,837,673,097,026,063,697,210,
145,624,080,676,222,126,893,222,638,936,446,499,007,351,421,892,217,800,152,
247,286,652,636,485,889,942,024,648,341,253,429,802,326,484,459,556,663,442,
883,198,401,922,983,851,811,196,666,887,313,005,284,170,883,948,965,944,510,
244,900,891,942,507,403,718,650,492,747,495,946,275,072,891,689,394,440,308,
406,658,919,136,436,307,017,321,175,817,197,011,798,825,440,680,733,828,829,
046,429,260,592,686,600,598,371,359,735,529,766,179,771,748,101,205,310,574,
795,404,848,625,395,301,858,156,324,473,800,865,695,772,108,803,272,340,836,
138,933,834,313,014,077,253,435,938,049,554,674,141,482,511,813,166,564,185,
239,283,144,219,580,700,963,411,368,388,128,397,522,983,860,836,256,901,365,
997,146,214,088,616,452,701,344,228,217,680,364,689,369,005,726,884,892,432,
372,024,745,714,360,903,879,462,878,484,039,830,141,518,588,315,534,705,043,
396,157,713,070,278,439,183,713,659,609,120,792,269,070,229,446,773,680,615,
068,606,904,502,042,737,486,885,177,630,843,311,254,284,346,981,405,970,363,
229,411,472,555,252,854,650,487,414,398,407,610,491,309,564,029,230,338,409,
197,138,516,893,295,539,927,905,891,935,597,033,782,090,187,783,654,781,539,
725,734,929,041,411,260,261,046,876,660,481,658,436,287,492,837,752,156,151,
262,704,427,706,821,591,911,524,892,683,004,443,054,207,572,144,568,793,634,
059,763,334,111,402,334,964,163,646,587,866,030,402,997,958,066,616,821,800,
452,205,333,989,079,953,198,792,571,702,286,711,965,476,320,128,714,349,068,
279,950,370,833,788,089,043,283,390,067,315,691,341,905,058,966,937,572,619,
760,022,914,191,110,453,220,580,664,763,884,352,882,320,253,910,728,625,001,
563,816,791,699,995,050,817,382,451,095,159,645,147,256,772,835,573,926,301,
204,401,923,016,657,464,005,068,410,704,280,550,721,493,478,959,085,036,179,
696,962,258,027,294,409,968,533,077,930,591,436,604,709,247,116,754,178,365,
543,390,779,522,935,969,040,889,129,731,027,784,184,110,987,524,856,264,729,
469,641,106,384,089,892,107,069,061,303,084,806,212,850,929,014,167,264,841,
520,306,660,794,667,120,860,889,462,709,247,865,818,095,037,905,175,927,633,
574,721,982,006,648,726,965,229,525,774,476,393,414,807,797,419,662,493,171,
296,567,751,760,470,050,736,178,240,027,917,079,419,461,503,010,263,527,910,
761,757,278,853,641,828,874,263,192,968,538,265,115,299,063,249,526,314,247,
654,204,975,145,359,167,667,222,411,594,330,678,850,121,426,138,274,805,233,
242,977,853,342,191,299,278,677,220,685,375,512,332,745,712,824,292,455,278,
755,915,627,568,868,316,222,333,917,551,353,697,801,601,350,724,949,522,692,
860,899,847,759,732,972,490,172,689,175,117,522,360,836,215,247,550,410,479,
695,691,517,994,403,716,568,167,822,219,087,121,237,444,091,948,349,637,804,
401,367,395,220,373,338,606,250,470,098,374,896,153,898,493,910,025,280,404,
001,417,859,229,142,422,558,250,982,676,537,345,345,973,162,247,647,702,562,
931,840,408,763,003,997,472,439,156,865,646,920,191,726,140,234,977,243,250,
228,173,249,843,566,401,411,510,023,028,134,806,558,010,058,450,032,648,364,
773,741,283,255,549,915,343,444,045,761,808,406,794,464,225,949,949,556,583,
269,423,531,237,078,287,670,023,215,184,860,157,384,622,890,779,742,272,419,
612,943,589,383,047,141,292,546,619,329,998,159,949,937,328,182,831,835,534,
465,066,574,863,748,919,456,271,088,073,312,706,560,358,205,103,982,174,575,
798,762,075,603,375,285,144,747,104,074,607,697,049,004,157,228,072,648,997,
573,548,650,731,594,183,831,505,896,922,441,687,569,296,004,686,351,601,341,
531,035,657,982,878,912,767,619,746,594,135,714,043,858,731,005,213,891,870,
357,422,945,181,522,498,475,452,468,620,231,842,240,967,070,558,631,891,776,
154,373,686,990,895,366,147,014,414,266,207,871,683,381,044,787,635,041,284,
513,481,406,787,488,795,940,182,777,555,535,388,280,915,629,130,849,799,376,
319,545,813,950,261,110,552,530,315,653,842,548,804,693,293,471,162,831,213,
408,644,401,012,557,988,718,677,593,511,435,108,548,912,757,839,353,666,407,
854,817,403,688,010,969,071,390,657,739,868,794,960,991,683,000,412,544,580,
389,850,399,615,622,415,899,236,239,715,714,203,827,471,881,411,548,327,278,
142,315,723,507,586,809,809,712,027,324,154,056,420,373,962,625,441,350,540,
562,052,627,231,067,797,175,526,189,330,263,917,449,863,161,281,778,742,517,
590,359,586,441,341,651,364,173,734,810,202,155,976,247,034,267,333,869,281,
811,853,927,195,975,387,188,748,619,557,679,734,649,978,507,642,951,150,958,
543,582,633,347,492,289,933,721,043,573,300,282,924,957,728,383,314,358,562,
105,222,479,985,004,296,052,883,481,064,743,828,259,534,708,575,145,192,072,
160,505,527,476,091,709,916,102,593,398,944,346,430,139,989,503,733,147,518,
065,058,976,939,637,451,772,992,151,530,857,635,016,941,100,357,194,419,757,
413,133,082,246,887,929,729,386,567,669,881,980,784,321,914,624,603,850,001,
831,535,873,041,315,872,006,804,856,798,395,516,256,011,386,663,323,521,443,
108,765,310,897,950,915,670,117,711,631,711,290,240,679,374,633,556,242,782,
502,778,114,845,840,421,180,919,038,047,044,626,818,386,550,298,434,986,119,
200,196,887,042,897,080,133,966,599,228,955,729,177,979,645,287,571,322,529,
052,331,980,858,965,487,917,567,684,304,974,078,648,491,372,204,407,576,373,
771,185,299,119,757,930,527,211,210,300,776,056,662,152,191,133,569,829,722,
527,530,126,672,014,653,056,502,967,950,994,940,112,602,514,080,696,532,310,
284,717,207,588,463,487,546,722,586,771,908,623,223,838,167,783,076,391,167,
639,151,350,647,265,392,620,247,322,362,398,924,304,267,531,038,402,702,925,
978,427,636,719,645,591,235,810,722,569,826,609,880,203,390,584,241,548,207,
604,991,196,425,578,356,260,801,719,262,590,952,974,646,338,299,690,778,799,
983,285,580,209,671,820,641,305,760,459,562,072,827,182,646,857,489,296,526,
819,862,435,741,998,355,250,503,565,250,113,039,765,563,597,102,773,431,333,
182,558,309,656,579,823,456,807,846,309,654,195,412,456,088,396,240,820,511,
241,858,108,428,881,825,971,700,732,678,829,825,447,831,239,615,405,221,569,
168,327,540,132,916,043,326,250,788,201,530,170,888,898,139,270,032,195,044,
000,776,636,702,224,561,975,784,980,687,166,067,201,185,627,741,784,082,680,
425,603,405,881,978,484,578,936,794,348,343,734,740,301,157,618,995,231,244,
525,513,884,939,858,071,160,676,168,565,392,633,540,588,311,237,756,207,211,
653,737,555,691,587,489,312,337,365,626,354,411,142,763,392,932,458,161,185,
121,766,008,900,541,061,010,669,857,391,132,144,681,623,149,501,975,643,522,
367,374,531,832,660,575,939,267,955,256,395,305,939,444,798,417,306,853,957,
659,756,376,754,436,529,129,447,999,628,116,722,655,681,872,823,756,497,623,
376,865,095,151,842,750,842,837,808,643,529,692,598,283,722,033,022,874,321,
783,166,071,790,848,499,770,858,760,376,395,616,276,417,378,304,144,824,862,
620,301,349,165,526,184,439,202,387,769,546,016,867,069,370,374,637,142,957,
112,382,602,634,927,425,462,145,590,173,935,171,531,800,492,029,027,723,093,
680,488,695,736,987,030,231,539,942,122,811,802,390,534,929,817,758,763,036,
176,409,405,664,698,737,491,796,069,561,319,029,215,020,505,262,556,702,066,
341,973,227,513,998,045,254,593,684,142,739,756,756,134,030,251,956,927,863,
425,929,104,083,500,321,799,030,864,745,868,543,892,356,972,582,720,581,363,
308,099,619,221,641,624,353,686,981,045,389,285,224,517,097,298,094,605,034,
009,444,290,006,266,623,529,351,438,206,064,749,443,375,282,653,869,963,350,
652,271,608,100,264,828,829,106,290,813,545,176,850,956,200,106,970,487,702,
520,545,951,067,072,509,935,183,387,392,512,667,198,735,330,701,778,331,843,
058,149,439,962,950,828,814,588,713,026,675,090,250,703,858,273,768,347,597,
991,273,727,173,680,429,160,580,227,276,168,342,697,447,105,376,597,292,111,
253,416,524,842,915,340,765,034,657,185,899,123,969,654,879,343,956,866,804,
511,339,524,617,515,663,660,778,678,350,560,895,887,201,343,403,618,753,804,
956,623,739,689,980,749,817,464,988,857,321,569,240,514,613,947,925,398,975,
140,776,508,430,712,560,198,521,117,418,871,245,084,264,779,154,956,355,929,
873,895,147,088,286,288,868,218,939,805,792,592,815,920,666,630,831,559,673,
481,804,646,418,085,177,784,312,742,079,396,373,033,451,121,037,309,233,600,
814,520,961,302,237,259,039,464,822,953,299,533,921,476,166,972,627,986,377,
153,160,408,042,210,645,133,789,377,293,918,916,058,515,894,689,221,980,940,
180,446,446,743,766,077,824,455,307,098,925,015,912,079,223,623,298,347,441,
901,836,722,654,579,196,459,354,951,354,481,325,728,561,246,511,164,482,998,
164,571,615,224,217,413,053,618,313,253,440,787,748,064,949,889,142,291,275,
798,055,075,887,002,005,966,973,359,647,910,968,256,224,852,329,370,404,868,
731,835,277,546,705,306,919,046,518,280,369,828,030,433,782,789,799,435,217,
768,872,827,132,437,042,943,097,014,252,748,697,607,713,861,226,565,461,241,
213,396,856,584,197,934,815,402,568,372,375,839,911,769,920,427,196,321,975,
065,262,704,699,416,566,950,052,115,383,039,475,895,197,218,563,314,256,159,
328,485,630,877,587,802,290,374,054,488,162,070,355,844,804,226,246,986,877,
407,717,334,639,592,125,414,553,659,549,532,418,481,251,203,812,146,690,276,
722,523,700,359,237,662,492,670,579,588,162,784,473,110,756,750,823,527,667,
128,974,593,136,771,536,129,829,199,840,387,379,655,848,884,791,415,074,731,
220,121,296,173,527,524,944,867,239,459,567,080,824,959,501,171,737,999,548,
655,422,760,597,852,442,451,187,727,557,358,596,849,847,948,209,483,177,777,
739,784,807,934,964,847,465,046,613,820,746,006,096,763,761,910,765,036,832,
139,371,831,766,106,083,536,380,261,705,358,042,391,026,454,232,442,634,018,
958,621,083,971,567,966,989,350,263,318,715,580,146,168,231,788,468,012,314,
297,999,067,967,306,570,412,648,872,944,547,118,791,348,441,245,890,287,101,
460,143,744,202,638,571,769,798,635,164,151,014,275,885,053,733,550,340,692,
166,630,720,639,137,729,643,802,438,691,479,281,883,003,271,682,880,098,398,
705,034,188,325,188,682,821,096,017,957,655,496,044,695,672,083,821,540,120,
471,841,329,715,458,963,365,670,552,919,924,239,780,973,747,737,697,054,929,
660,923,528,517,348,234,442,317,899,067,984,577,177,672,623,427,558,153,239,
628,933,183,767,371,793,197,322,132,267,061,878,794,030,873,133,507,042,194,
896,971,699,012,485,116,285,342,029,120,981,967,726,862,487,736,567,939,259,
755,352,570,520,291,745,167,333,247,019,113,033,237,104,723,528,990,845,533,
255,727,269,977,549,641,706,216,136,691,974,596,263,856,125,361,719,881,892,
490,072,696,955,689,252,127,513,834,724,875,331,793,545,672,321,642,106,305,
161,958,205,220,628,943,309,934,527,567,372,651,993,204,369,699,685,015,629,
499,868,898,662,723,792,469,621,951,208,381,920,462,252,048,950,936,877,955,
662,070,054,670,789,757,121,339,891,021,168,011,271,316,256,302,529,404,562,
173,233,169,895,233,948,110,536,364,827,402,016,932,916,197,764,305,267,613,
360,194,853,169,504,295,375,937,242,011,469,790,691,805,934,409,432,842,170,
700,647,750,858,259,988,489,213,551,501,443,223,016,962,468,258,558,765,448,
292,745,020,885,094,211,496,804,128,309,004,598,120,089,095,535,560,957,385,
668,020,840,421,009,964,415,502,922,829,186,605,235,557,254,924,726,194,171,
984,922,109,422,621,133,593,420,371,078,660,100,600,215,485,949,933,195,439,
025,965,316,033,733,369,050,656,991,489,341,698,515,243,666,891,213,541,350,
585,853,713,671,459,649,414,391,500,882,677,510,016,246,632,639,319,503,671,
930,373,512,831,754,695,265,569,655,278,651,635,226,311,270,525,451,363,958,
945,942,000,099,578,041,727,503,859,860,821,367,503,215,590,311,578,971,735,
835,311,005,258,025,067,325,920,335,467,260,174,947,468,861,206,025,606,304,
377,519,199,645,478,098,518,145,257,810,785,971,243,101,988,173,425,996,041,
764,463,385,437,264,787,178,023,199,496,845,928,651,283,058,240,487,683,620,
244,955,658,665,129,817,200,092,071,860,435,424,111,644,823,705,731,002,348,
677,229,358,750,126,339,391,972,643,005,245,475,411,230,963,635,715,748,858,
262,070,652,066,931,724,907,594,100,737,572,186,642,581,005,782,072,782,077,
325,566,616,660,613,078,172,659,657,904,385,658,699,125,433,440,083,370,486,
596,014,925,656,245,125,359,465,190,214,629,894,407,883,951,757,671,554,225,
082,396,570,794,209,326,588,778,336,731,807,503,725,326,304,698,069,530,046,
824,689,666,289,007,924,341,551,894,974,479,124,039,934,219,857,641,897,485,
195,233,793,659,756,867,102,342,368,340,398,969,868,852,433,418,566,721,295,
112,956,651,209,665,004,631,990,238,475,025,890,329,528,465,211,841,656,395,
086,392,267,842,279,006,550,352,233,951,961,465,363,961,877,875,628,438,608,
225,093,605,632,702,828,625,917,129,449,607,852,257,327,719,221,771,906,387,
877,725,050,827,024,049,038,744,535,932,433,512,572,831,422,286,209,099,565,
924,899,060,295,547,785,730,935,435,343,429,108,679,824,625,293,910,682,956,
851,221,122,997,270,989,844,132,929,413,340,363,488,010,072,817,171,064,368,
037,287,224,557,271,079,019,007,058,399,500,000,167,909,710,604,521,727,382,
928,525,239,142,131,651,373,363,115,917,254,695,977,052,745,500,067,657,671,
108,638,655,587,334,079,001,266,162,638,978,740,800,159,612,795,000,496,495,
082,137,089,130,894,413,972,341,692,285,363,430,338,838,611,907,517,127,827,
367,539,722,592,010,459,257,672,559,960,052,488,301,621,688,431,375,481,327,
344,506,815,231,308,837,975,895,174,785,315,301,526,469,534,590,693,359,466,
962,309,043,380,713,856,383,332,424,857,139,639,176,050,610,979,043,823,809,
344,633,799,432,450,844,688,084,093,511,894,137,793,453,606,538,497,827,339,
515,363,863,318,995,889,300,494,666,193,552,465,849,868,843,419,438,996,793,
040,543,410,420,773,663,571,411,318,657,117,799,705,822,096,230,250,390,284,
512,876,374,482,002,040,635,524,680,828,373,436,484,740,863,932,311,457,712,
781,853,530,905,055,120,026,567,179,491,065,136,006,834,044,345,508,213,971,
549,412,373,153,557,450,779,657,926,568,666,487,978,816,280,329,803,501,979,
696,860,750,540,822,094,858,575,823,074,106,568,033,036,227,755,613,597,928,
813,882,124,836,819,596,107,903,484,484,995,540,147,501,927,314,161,964,298,
032,163,659,345,116,057,789,590,108,617,590,020,045,949,374,024,277,376,662,
324,264,026,916,820,733,693,262,192,142,736,315,355,923,428,657,090,755,268,
827,629,188,737,260,847,138,347,491,335,402,706,479,717,492,126,208,891,904,
781,792,353,005,727,352,067,410,451,475,476,531,322,774,977,924,872,327,319,
830,069,536,355,605,237,986,488,471,493,840,119,853,962,229,140,181,833,005,
354,243,162,720,523,292,457,501,101,411,298,536,361,548,040,233,596,702,296,
093,964,684,813,116,746,309,572,808,345,769,116,874,214,277,198,552,693,220,
629,504,924,894,753,748,389,159,580,754,489,938,096,377,376,178,842,046,492,
886,003,914,008,638,885,557,091,295,654,216,335,411,165,316,024,303,684,808,
457,762,396,792,501,690,726,822,582,712,643,521,027,052,854,992,034,373,428,
728,548,057,544,814,047,588,011,813,977,032,342,758,156,934,944,170,129,608,
563,756,259,582,443,301,201,324,421,183,944,069,457,660,975,201,604,496,727,
676,770,329,870,871,820,998,538,956,724,583,304,656,165,709,160,693,839,072,
697,710,156,591,654,052,984,498,801,377,613,909,698,021,851,284,946,232,977,
062,750,793,431,605,546,476,135,106,339,950,570,588,567,975,798,651,868,946,
843,329,377,611,809,421,165,486,830,720,126,689,667,969,697,748,659,992,107,
465,128,918,926,587,710,070,372,736,960,515,271,663,149,108,601,090,207,232,
806,746,698,675,008,789,933,164,187,926,687,947,025,119,654,150,066,131,971,
813,047,708,011,951,654,689,495,373,511,989,489,701,788,168,150,720,476,759,
740,285,658,955,201,202,942,183,636,653,181,935,160,086,563,986,295,741,110,
425,300,030,707,886,432,991,908,593,611,422,615,802,121,262,378,255,393,256,
226,488,861,148,016,913,324,155,272,742,796,060,017,039,095,201,287,127,131,
919,672,133,525,162,207,124,906,126,120,134,728,754,051,224,955,533,342,565,
634,275,257,666,091,606,319,453,902,132,515,257,160,518,001,924,308,932,108,
058,832,591,561,824,783,444,516,388,591,505,069,139,988,538,740,778,205,861,
208,603,071,828,745,029,019,660,220,115,641,241,039,060,765,867,889,101,089,
363,701,139,223,323,701,891,138,682,974,038,211,690,193,026,347,411,247,501,
497,474,163,209,217,742,209,205,811,500,544,209,551,695,314,135,515,960,755,
148,715,070,997,815,952,573,597,174,610,968,306,444,836,613,398,337,088,085,
767,699,890,864,971,117,207,620,956,489,802,418,815,370,465,936,343,759,804,
467,134,924,511,824,503,272,081,259,231,848,580,399,104,708,765,494,271,833,
869,501,977,150,613,674,695,525,666,034,111,126,731,867,962,761,436,658,060,
572,176,709,082,579,135,648,470,531,899,044,863,048,337,311,613,316,290,231,
368,576,756,599,091,145,740,973,756,924,708,358,392,347,860,740,780,712,144,
695,153,379,301,669,241,769,326,999,640,160,733,308,912,875,299,750,747,955,
925,054,079,563,802,628,621,317,140,615,445,705,674,904,535,412,626,255,443,
469,283,365,757,784,963,865,919,473,423,538,601,229,727,776,823,354,955,525,
945,212,549,218,539,679,518,864,480,655,151,132,037,156,720,586,970,418,077,
294,965,616,447,013,423,095,016,885,325,964,010,865,496,201,726,647,165,087,
175,577,258,159,613,446,798,397,989,728,913,877,417,128,846,512,901,211,096,
458,251,628,166,773,496,743,686,032,702,963,504,944,968,030,005,149,505,674,
001,352,384,074,780,796,191,007,526,220,930,100,306,867,317,786,071,339,371,
237,362,059,524,052,220,028,820,583,988,938,258,341,845,384,219,062,229,822,
549,986,023,044,712,173,157,174,111,768,118,196,593,107,886,739,963,301,722,
429,460,365,521,075,770,758,715,114,006,555,752,082,511,014,336,491,507,231,
579,469,538,887,865,406,257,886,123,620,515,749,274,219,361,285,735,641,012,
290,547,043,909,952,590,611,566,835,272,831,595,095,556,122,100,995,228,674,
117,090,242,421,649,522,058,636,493,786,343,104,414,648,310,333,551,765,544,
244,058,103,473,440,201,159,641,443,695,492,572,680,022,393,355,823,299,804,
266,305,581,228,801,603,972,478,268,324,741,509,407,479,891,148,919,781,921,
457,816,733,043,417,755,660,711,388,394,623,959,860,373,918,065,213,044,559,
321,197,958,062,459,920,036,675,378,352,863,146,289,792,908,448,921,254,257,
743,747,507,381,497,571,737,116,288,643,819,148,373,494,809,318,847,337,084,
980,851,618,804,996,141,663,061,936,019,507,820,340,449,871,556,022,592,562,
384,599,125,212,047,420,990,688,132,067,939,852,338,221,012,247,553,801,603,
837,288,855,461,611,806,995,682,167,209,340,767,149,648,063,749,170,478,374,
577,771,150,213,784,200,228,010,579,489,202,733,709,416,528,189,473,401,140,
692,693,455,377,025,251,197,940,596,281,130,459,511,054,747,152,047,005,563,
014,384,212,107,444,989,913,502,769,458,965,717,226,991,942,984,659,874,833,
491,161,662,151,849,361,548,030,518,427,137,342,248,993,641,938,244,122,084,
467,698,383,990,117,155,883,533,192,168,142,743,261,575,822,447,076,012,688,
836,633,519,200,005,104,089,758,054,348,993,372,776,827,390,222,327,829,626,
273,109,572,364,329,072,451,036,811,798,990,399,936,204,432,148,620,487,942,
403,996,217,003,726,014,151,695,932,238,106,624,562,751,352,857,112,998,507,
037,238,777,666,668,896,887,211,122,215,859,811,452,902,999,157,713,195,805,
606,894,471,327,992,173,423,663,322,730,672,370,322,767,803,804,605,769,326,
122,029,073,595,911,004,066,964,889,766,928,573,037,595,589,070,654,284,636,
799,009,320,341,190,862,651,918,501,039,974,879,911,025,016,491,245,753,801,
555,300,180,284,201,222,234,217,791,015,126,483,323,173,972,673,317,016,486,
801,388,748,701,423,769,265,225,847,723,592,330,679,046,983,058,748,019,709,
608,837,030,887,872,792,100,728,408,509,294,017,538,918,888,810,803,725,757,
279,099,834,442,584,276,637,858,129,613,333,387,728,129,440,922,670,319,876,
705,400,771,809,290,576,961,927,910,789,687,501,662,468,218,772,842,666,637,
393,184,056,071,188,366,169,781,208,529,439,465,848,055,388,663,679,977,220,
044,897,292,707,063,795,627,262,076,819,582,687,475,976,396,886,417,719,123,
267,345,601,779,789,708,859,435,630,414,449,788,184,532,477,695,129,440,854,
685,622,640,503,435,850,569,944,522,007,584,954,975,247,663,588,508,498,911,
892,181,551,852,678,863,230,695,573,640,452,478,699,810,513,514,218,956,361,
498,943,279,460,699,828,471,992,063,589,506,951,994,176,516,230,821,458,902,
649,607,827,042,575,636,586,045,044,492,622,323,047,421,860,025,519,483,581,
966,372,503,953,663,968,277,337,807,694,331,959,345,237,219,593,092,161,648,
431,688,041,733,757,724,709,219,151,494,811,737,956,637,938,691,431,491,940,
399,003,484,770,173,591,236,506,472,973,997,185,415,311,787,401,124,449,034,
749,940,286,438,622,572,284,146,173,682,974,933,465,810,781,565,736,504,959,
300,819,348,109,008,645,814,620,102,801,303,882,785,267,725,428,151,171,445,
053,198,106,859,426,847,879,978,260,912,129,309,833,628,752,354,659,096,510,
731,703,731,519,920,858,153,350,913,726,833,864,453,296,355,303,694,274,030,
528,883,682,454,516,003,534,018,439,843,412,977,184,196,151,039,687,636,546,
269,614,134,089,156,944,320,088,749,317,104,032,566,897,067,937,032,198,429,
623,860,717,284,417,877,713,738,189,419,069,070,405,911,228,436,746,411,924,
973,613,034,213,452,112,958,991,012,647,765,148,116,918,939,601,909,052,738,
206,335,086,514,111,182,082,481,079,717,567,922,198,853,225,136,364,255,096,
942,547,929,347,299,445,959,157,508,437,577,418,277,946,516,036,197,528,790,
447,303,426,255,425,887,209,317,164,238,468,113,974,253,785,522,627,443,672,
250,494,888,921,491,915,332,330,522,904,827,447,549,440,145,710,276,151,385,
383,037,336,095,744,270,716,189,929,443,417,410,566,966,998,282,085,380,984,
127,469,985,503,627,021,228,655,444,285,122,074,272,490,600,435,554,179,616,
832,735,844,790,354,459,911,603,798,101,394,204,107,869,645,126,825,815,628,
325,990,429,694,250,143,213,463,517,221,848,249,174,593,280,326,327,029,516,
710,321,684,562,173,189,379,289,422,440,922,292,794,361,753,741,182,544,971,
326,632,794,034,864,360,182,921,075,573,593,574,099,920,245,905,866,020,153,
221,223,889,377,082,726,899,720,738,899,702,258,640,025,217,513,684,101,332,
228,773,571,573,035,853,172,068,200,681,338,243,532,443,790,354,646,349,126,
760,882,268,146,576,424,336,196,224,393,577,319,067,143,225,142,197,127,846,
578,954,272,688,535,151,342,115,891,430,282,814,701,656,370,115,052,492,005,
037,551,938,439,549,502,413,128,972,573,916,967,954,348,641,971,200,874,034,
106,520,893,831,475,528,579,110,876,861,598,574,667,488,265,938,845,284,198,
563,096,824,411,007,725,515,623,293,867,557,713,955,795,559,484,349,020,287,
804,375,868,300,801,352,749,622,222,335,600,252,412,363,188,200,973,717,496,
033,804,399,667,998,916,704,755,417,401,229,561,232,170,419,179,246,641,734,
500,538,525,591,767,917,841,059,073,906,476,824,648,304,043,157,828,396,804,
728,728,932,917,303,389,202,561,599,186,912,529,625,831,803,274,552,958,989,
758,609,235,321,706,628,078,614,147,454,621,181,923,430,005,532,129,608,848,
745,620,840,265,256,916,938,826,022,434,729,953,219,232,437,102,336,175,230,
789,367,231,273,746,598,812,171,587,456,057,916,305,623,946,296,358,229,843,
218,037,696,043,505,632,852,273,514,191,657,568,170,525,648,876,819,294,051,
613,104,090,742,103,062,912,261,665,963,888,549,165,733,507,640,454,135,096,
872,484,387,430,607,265,043,565,578,425,748,130,755,232,496,399,063,006,306,
925,198,624,910,214,123,286,957,689,077,120,075,886,907,311,541,460,671,640,
750,835,574,200,446,729,164,537,240,162,835,710,017,574,662,068,484,895,735,
008,947,827,420,453,425,185,009,288,933,760,952,479,881,885,810,207,526,216,
375,905,194,494,664,274,423,943,123,425,716,531,019,080,420,832,142,208,717,
814,060,846,486,251,511,831,686,423,791,655,121,393,550,310,860,951,274,507,
988,544,557,624,999,167,256,199,895,640,122,211,620,918,221,415,208,121,868,
955,221,228,603,901,948,698,292,935,520,873,682,934,541,392,178,194,299,589,
932,853,077,835,870,634,510,151,276,132,752,234,508,884,058,963,110,019,289,
331,867,360,259,484,208,218,466,982,247,837,839,054,936,708,676,198,138,909,
806,337,704,684,376,051,129,637,249,801,571,115,766,592,999,604,368,559,971,
465,648,890,239,844,275,715,721,503,351,391,883,017,796,240,938,527,527,658,
864,430,733,543,566,230,025,479,891,709,505,748,417,375,639,453,856,241,246,
037,637,726,619,969,894,721,320,432,464,335,155,214,849,332,776,306,713,364,
422,726,390,696,050,205,220,893,341,862,095,880,628,023,362,597,990,185,555,
264,128,164,314,904,274,690,646,692,749,624,567,119,417,009,602,241,259,014,
673,283,643,396,367,175,045,865,598,730,809,391,007,177,532,160,466,996,964,
015,049,900,421,862,180,992,038,207,898,861,515,656,589,920,757,037,477,820,
877,221,343,985,018,596,102,069,496,722,836,887,609,594,267,971,498,444,701,
124,029,789,275,292,867,310,441,325,378,326,659,277,132,948,102,354,475,967,
051,191,069,741,243,070,952,550,783,121,653,023,952,759,469,332,935,476,980,
327,761,982,630,250,597,690,181,245,645,374,801,401,575,700,892,346,227,823,
590,701,493,190,636,042,509,317,424,274,772,729,918,211,739,977,013,220,288,
250,886,043,284,950,342,020,388,984,160,622,136,088,986,273,506,097,738,594,
931,529,875,506,606,211,146,208,898,804,064,930,178,475,173,362,723,657,792,
950,579,924,038,551,967,621,406,263,736,547,469,818,997,673,108,273,171,135,
240,782,021,800,569,644,520,876,701,301,745,927,168,450,147,415,149,317,230,
097,797,874,165,922,085,804,858,958,441,405,902,325,507,306,225,141,649,341,
680,141,493,443,436,799,494,162,090,249,797,678,516,574,660,712,237,154,579,
398,225,865,724,213,460,649,368,173,987,188,142,860,372,550,569,655,667,239,
228,553,947,960,973,072,847,899,349,506,808,599,742,904,271,497,702,912,331,
002,825,723,557,241,348,686,531,723,895,018,523,108,410,169,042,209,255,710,
384,196,798,574,572,029,016,069,908,785,551,210,094,575,384,147,232,454,619,
372,855,172,972,780,857,899,374,626,061,615,817,191,914,248,806,535,091,990,
444,136,986,406,422,137,545,608,818,801,602,095,660,601,249,155,355,083,900,
269,540,453,641,046,272,938,670,938,867,069,481,615,749,417,345,422,002,980,
783,061,282,293,633,187,328,065,854,090,966,449,298,931,540,198,992,671,367,
924,764,415,637,916,092,290,273,239,379,278,971,201,700,503,379,812,461,877,
640,275,668,400,887,500,852,452,537,432,525,898,011,719,425,346,151,606,079,
855,289,771,633,780,549,043,309,298,584,746,253,575,221,741,606,053,679,540,
341,597,680,589,164,501,901,589,475,740,457,404,035,494,626,338,591,259,322,
408,416,857,808,214,298,445,835,559,705,011,239,674,967,164,719,570,242,677,
876,997,396,812,411,653,038,279,106,630,510,619,553,900,040,889,027,626,786,
913,586,904,296,390,869,120,320,999,108,005,460,616,497,634,568,328,423,762,
026,434,339,340,389,083,396,717,980,991,483,090,132,813,528,900,180,436,921,
162,987,527,658,903,868,978,084,254,089,977,785,585,908,165,721,095,679,685,
469,754,765,236,755,319,545,180,542,506,189,872,941,338,115,954,439,949,484,
789,839,764,796,611,798,971,935,055,195,625,206,367,457,568,606,243,933,936,
956,854,556,002,628,518,264,482,749,416,953,998,651,766,834,386,492,116,324,
921,104,196,206,234,458,268,857,658,817,838,872,593,014,105,791,344,933,254,
148,054,059,345,823,195,903,047,348,538,911,023,104,040,896,882,247,601,185,
494,159,655,069,033,400,380,528,197,799,149,557,948,851,802,716,302,101,144,
205,929,729,167,070,467,518,384,331,463,484,064,050,567,037,043,966,588,873,
398,342,833,221,824,198,319,005,388,353,902,000,276,151,818,805,986,209,277,
260,804,919,737,691,317,089,594,514,580,741,343,811,338,681,207,348,889,706,
124,104,494,446,367,313,439,519,976,988,865,911,929,470,101,005,865,382,192,
265,862,489,535,441,178,865,397,152,114,358,465,163,888,861,768,022,963,551,
296,076,156,699,777,050,536,975,769,536,497,830,974,908,780,281,549,047,075,
648,023,188,224,470,100,876,439,707,627,066,719,637,441,805,967,743,787,275,
536,572,970,034,041,052,222,818,386,852,388,706,332,375,414,541,976,132,384,
745,893,235,249,823,361,189,051,019,023,459,954,696,284,845,884,827,908,435,
080,804,373,592,811,462,023,461,637,438,637,370,252,388,897,159,877,823,474,
927,411,416,808,567,400,916,960,579,191,493,909,193,736,442,527,065,660,791,
907,013,924,720,404,721,801,514,715,742,037,990,703,495,264,962,140,694,677,
887,843,085,998,790,104,984,788,622,220,877,747,105,801,194,427,436,063,510,
410,682,182,920,452,454,239,965,313,374,678,701,214,162,129,304,758,955,854,
917,058,369,419,242,045,709,324,464,889,756,157,708,640,513,370,182,818,835,
292,070,828,855,842,838,163,926,784,826,611,293,244,947,021,774,127,079,866,
445,674,178,434,440,611,876,058,399,795,333,558,240,606,247,003,879,593,237,
760,817,018,493,024,019,221,050,919,967,215,822,927,159,720,648,613,871,169,
139,230,933,545,335,857,757,571,382,934,389,684,750,423,439,584,853,177,148,
383,046,540,599,613,496,979,352,635,559,897,116,430,324,378,549,487,914,267,
344,440,703,563,177,970,307,203,740,149,943,550,143,803,583,382,979,260,330,
842,372,476,799,809,191,922,711,889,312,148,963,263,558,999,973,552,889,252,
989,297,114,369,013,124,728,508,152,868,319,402,072,010,251,356,741,616,583,
013,769,348,711,065,148,509,955,864,542,829,950,425,888,835,818,238,298,811,
732,364,657,791,672,681,799,480,418,607,592,936,358,076,108,462,157,614,227,
356,044,198,428,070,519,534,370,531,388,694,757,205,718,407,536,595,166,146,
484,694,148,100,848,054,459,379,028,190,077,723,234,792,605,667,675,095,975,
098,725,590,676,290,792,046,845,529,702,293,191,510,800,558,627,817,166,186,
282,578,891,267,655,864,821,245,604,773,460,697,568,577,220,640,697,792,289,
776,743,215,113,376,227,895,512,922,104,028,784,875,813,422,031,530,508,952,
277,859,548,912,391,835,871,737,137,798,400,567,368,086,034,233,702,489,266,
375,282,791,945,557,325,979,704,623,138,353,301,175,686,063,010,261,875,709,
541,151,409,139,999,690,069,655,248,006,282,818,469,385,180,069,862,275,835,
260,997,658,873,281,025,307,765,852,554,657,529,024,345,299,649,973,255,513,
223,842,709,477,949,741,552,359,055,657,117,763,829,230,434,189,596,697,595,
993,380,734,516,519,527,095,368,064,969,766,993,806,705,756,643,751,698,364,
501,624,184,404,428,850,555,588,505,558,896,882,150,828,466,126,304,248,564,
205,571,685,611,532,706,645,068,259,277,704,716,438,597,216,208,303,202,410,
238,218,395,941,838,419,350,365,362,715,629,577,080,903,024,908,917,961,281,
251,476,515,983,628,502,311,428,174,649,469,150,872,657,503,776,946,059,334,
369,055,688,888,541,881,328,522,677,052,582,575,427,744,704,705,125,792,069,
800,869,397,702,572,307,219,612,266,106,650,005,933,506,630,203,638,430,279,
057,495,240,212,143,378,681,624,571,786,615,100,320,238,259,310,059,468,985,
047,138,389,227,634,277,746,310,439,959,747,108,794,905,881,027,407,778,458,
794,351,338,036,219,571,556,218,955,863,582,524,317,948,726,194,526,198,719,
451,265,972,229,039,791,590,584,693,544,641,617,819,094,495,921,009,835,794,
378,945,325,055,724,972,038,391,175,058,093,659,234,391,642,803,258,707,419,
526,822,483,976,996,135,832,123,195,764,945,966,857,203,923,187,991,197,589,
354,073,710,147,334,706,525,236,878,821,566,139,027,198,302,632,604,906,932,
078,640,849,347,693,628,765,075,437,897,180,401,899,962,030,410,485,809,020,
508,535,973,319,234,163,967,920,938,663,179,676,373,717,959,557,731,590,256,
858,079,745,808,312,185,021,107,219,638,683,564,937,113,148,896,340,232,250,
944,743,196,582,850,671,800,649,664,636,784,182,116,983,310,939,137,107,664,
105,184,379,327,337,878,385,175,725,878,099,860,076,606,422,315,492,916,288,
573,080,948,526,215,473,810,377,943,140,934,499,447,584,980,624,368,001,237,
387,677,544,826,759,480,603,840,675,688,054,614,642,295,651,672,887,686,969,
175,374,619,269,510,917,100,111,466,614,828,074,434,808,272,510,904,860,534,
859,826,559,974,139,360,263,418,902,639,121,725,987,691,508,432,772,483,724,
547,720,563,780,883,375,663,322,369,038,912,818,156,890,092,008,655,926,058,
232,676,939,579,768,099,505,764,723,598,905,931,369,228,111,491,476,916,322,
962,521,086,802,636,670,313,680,218,036,811,837,457,014,718,119,913,816,868,
261,332,474,753,337,027,099,251,135,296,069,311,516,058,267,667,204,691,903,
080,651,650,892,271,912,942,293,299,511,915,357,804,367,022,489,057,008,019,
174,940,866,377,248,867,646,947,369,287,041,844,983,442,072,434,600,713,972,
569,179,183,313,153,619,234,515,166,285,076,176,990,847,398,230,756,997,704,
043,338,936,964,852,365,126,984,463,011,619,888,126,894,696,840,299,734,147,
904,154,554,580,155,970,300,032,759,645,892,068,718,540,615,206,519,571,036,
753,922,216,402,618,026,716,026,656,795,169,893,037,095,833,870,216,027,242,
386,206,945,299,902,083,567,296,047,432,001,990,962,096,787,919,750,375,408,
736,671,479,195,866,925,460,744,804,675,262,171,994,700,239,125,046,869,552,
864,446,020,566,803,100,711,109,144,927,230,113,288,355,396,034,260,842,067,
546,962,204,497,045,589,501,375,379,911,710,850,868,069,591,531,781,101,085,
581,269,551,308,556,350,488,578,747,245,408,865,251,741,151,056,837,986,747,
302,351,797,550,764,734,665,675,441,697,898,145,675,694,834,607,930,921,071,
686,033,043,418,892,123,913,865,480,790,509,654,618,633,559,746,267,637,126,
499,303,901,733,959,926,041,875,583,072,621,328,876,445,131,800,444,338,829,
127,804,964,344,213,847,691,545,696,826,126,947,043,009,722,051,910,287,734,
085,219,211,602,888,811,500,934,234,154,482,577,998,692,964,175,615,799,113,
231,539,881,504,130,922,335,961,396,943,698,662,981,721,979,028,191,874,402,
558,529,915,785,907,274,596,380,158,280,290,404,092,804,038,603,695,262,460,
145,800,435,625,893,291,685,539,793,765,449,891,211,102,797,109,509,538,486,
682,468,809,386,248,098,863,059,221,570,708,885,893,578,877,314,191,520,004,
425,026,075,191,212,710,513,403,003,003,540,303,539,746,564,492,701,670,826,
723,626,149,977,167,370,879,371,637,240,808,012,062,009,874,111,253,899,400,
260,181,256,757,500,005,500,148,205,472,980,376,751,609,580,858,005,799,756,
135,964,620,380,620,565,984,627,469,350,556,586,108,318,606,833,737,768,177,
322,329,565,575,119,364,666,363,979,033,269,007,050,313,125,220,653,207,764,
101,084,213,050,954,236,838,347,762,781,350,230,397,209,135,361,926,075,029,
556,324,320,652,574,643,080,636,896,761,851,247,487,854,464,097,730,807,095,
165,795,415,019,484,595,200,617,323,978,831,885,277,573,596,655,588,459,458,
871,501,556,643,910,090,884,013,809,463,905,588,729,653,138,110,137,709,059,
129,933,067,945,111,325,174,846,630,754,738,993,161,016,683,854,889,034,367,
163,930,700,649,812,037,791,765,609,018,041,244,547,590,025,542,335,506,150,
386,382,091,392,875,422,548,782,751,397,009,141,184,074,951,956,159,301,800,
905,200,525,653,629,907,516,956,480,277,416,727,393,162,258,968,211,987,122,
098,891,673,597,496,966,274,715,408,153,829,857,282,660,910,065,065,466,648,
264,971,520,129,476,393,845,174,983,743,440,468,811,043,209,589,612,855,542,
011,629,681,650,374,313,897,320,903,892,492,374,317,750,389,522,876,158,815,
293,927,013,694,299,347,940,775,349,909,028,288,930,920,776,981,191,318,576,
954,544,800,255,910,021,001,436,052,621,650,411,950,131,629,152,665,380,690,
734,040,809,065,653,716,960,605,458,663,255,912,603,744,985,096,618,928,776,
591,818,351,440,724,171,938,942,959,663,738,111,674,129,463,892,719,263,178,
323,398,986,820,017,158,082,474,497,303,471,191,740,815,546,970,003,918,920,
253,265,324,514,621,494,122,623,743,202,588,067,366,543,476,201,494,930,219,
486,774,654,288,176,051,493,178,805,860,450,612,248,102,834,416,139,242,728,
396,750,209,359,939,826,380,203,593,741,701,677,179,253,380,663,572,979,965,
645,946,895,352,723,016,916,317,175,740,041,586,308,085,102,507,040,284,036,
873,079,410,946,073,127,356,610,210,804,913,973,297,292,181,073,497,751,043,
712,024,320,038,087,811,887,322,032,848,366,872,026,930,936,140,521,104,903,
498,159,207,732,060,527,171,945,533,915,578,969,548,657,180,090,925,633,306,
755,699,492,752,760,673,458,023,638,959,712,515,850,174,601,869,300,595,702,
788,517,284,527,041,715,615,660,950,023,905,733,827,385,627,634,986,179,604,
641,250,539,810,678,022,826,646,091,884,126,736,038,701,790,981,087,976,351,
986,588,388,857,582,869,751,017,883,548,084,892,905,804,344,966,806,467,628,
734,538,321,029,654,596,107,881,093,303,637,005,303,341,122,797,274,094,251,
956,357,548,878,855,978,958,238,195,084,315,174,939,477,843,776,775,129,448,
090,441,238,662,358,249,681,438,115,610,584,445,662,395,121,953,547,942,072,
960,559,988,090,882,322,074,677,191,110,869,215,882,561,845,979,540,742,690,
676,984,499,505,712,073,388,259,633,983,501,052,133,869,609,444,942,565,948,
651,560,526,265,483,285,323,388,092,457,017,525,626,345,370,490,060,321,631,
162,114,721,899,550,535,430,856,995,157,461,773,967,085,028,967,908,894,476,
977,456,895,018,530,652,632,577,217,247,886,367,620,014,542,491,455,340,723,
269,518,803,894,175,149,689,584,057,952,225,022,693,779,155,851,655,507,806,
651,971,368,613,227,016,989,494,632,442,740,921,134,066,928,986,205,646,775,
446,324,996,687,772,393,710,975,435,917,009,091,674,519,917,488,638,215,579,
981,294,662,408,531,414,630,090,378,464,022,499,022,575,283,194,473,735,519,
350,124,358,823,265,854,428,040,185,127,029,794,097,407,180,300,003,849,766,
082,829,863,449,100,168,278,604,345,301,559,329,794,908,714,579,494,872,318,
547,663,151,705,571,291,340,539,529,816,582,781,560,786,828,433,516,956,220,
017,398,246,764,752,088,317,172,179,629,907,811,320,670,142,210,731,402,077,
073,196,751,790,857,990,459,935,527,011,613,046,434,234,872,652,389,380,725,
524,784,437,770,532,369,115,314,813,135,649,645,711,462,885,021,490,472,690,
594,603,227,351,561,797,872,462,371,370,798,795,457,715,484,673,528,117,341,
338,126,305,962,614,994,256,438,103,551,916,581,906,433,473,003,085,038,646,
057,047,580,745,554,950,825,706,962,334,963,432,096,289,833,697,451,880,965,
025,320,210,340,747,626,414,164,969,611,761,033,941,630,269,478,742,447,988,
396,403,662,449,142,733,122,454,710,989,550,102,034,219,712,031,756,984,016,
080,792,861,687,495,060,454,717,931,642,814,127,332,152,024,291,904,916,679,
915,012,918,175,305,784,478,769,681,948,131,690,805,316,293,862,723,520,289,
419,169,709,146,658,972,330,437,712,527,365,570,573,735,288,287,686,818,361,
415,398,287,323,164,410,023,031,954,327,466,686,300,695,113,230,637,086,131,
748,991,964,959,514,458,324,210,335,564,961,397,105,263,414,897,279,071,552,
757,462,372,949,267,850,236,258,987,152,191,170,919,684,916,046,553,121,743,
171,299,870,862,402,964,100,655,219,649,941,458,399,228,756,252,987,969,735,
568,148,898,723,037,165,146,144,171,829,900,345,596,886,897,612,058,626,782,
431,672,823,488,746,598,926,499,698,926,555,709,248,259,897,451,033,116,899,
039,622,847,639,550,493,604,198,208,544,005,193,292,488,009,791,389,772,907,
931,783,576,466,801,917,027,103,254,337,381,911,346,997,133,062,415,735,181,
019,199,893,421,892,728,107,404,321,755,040,098,340,450,936,083,842,772,248,
226,382,003,587,226,125,654,499,425,754,170,681,355,341,954,308,621,207,983,
005,726,837,049,913,190,273,798,541,088,342,382,908,099,291,556,319,162,950,
491,147,774,808,821,492,965,414,233,073,903,661,111,129,692,674,168,873,595,
355,456,931,108,618,009,816,531,858,723,452,500,899,523,783,586,328,012,127,
597,526,028,247,832,004,398,325,567,396,018,624,421,740,823,781,809,193,707,
634,213,841,183,766,438,518,775,321,986,417,366,742,076,417,425,725,891,197,
786,238,406,258,075,497,923,640,285,279,959,958,594,980,776,096,020,814,600,
023,835,978,359,759,359,029,697,014,888,699,008,981,043,445,168,807,990,903,
677,722,703,609,514,176,734,324,593,935,925,116,259,134,413,050,359,362,754,
240,932,078,993,453,464,623,375,218,776,068,003,371,595,582,069,523,201,363,
819,510,462,512,367,304,819,013,861,657,156,880,739,831,054,094,056,345,358,
927,109,330,652,457,715,149,928,920,320,530,880,673,306,406,103,655,450,600,
104,946,110,191,607,299,551,240,035,048,211,445,795,373,930,713,700,040,380,
562,805,268,278,573,969,866,022,850,407,961,854,019,324,370,310,655,056,625,
168,687,232,878,092,639,457,593,729,726,816,151,603,075,576,803,682,892,364,
445,814,418,914,064,715,445,256,900,540,664,115,741,728,516,865,524,217,987,
802,847,302,001,213,209,545,641,364,926,146,048,722,735,923,792,974,737,122,
720,403,415,123,887,383,908,203,760,143,014,520,180,682,178,648,315,250,522,
193,914,231,836,822,403,977,777,677,939,225,715,294,058,480,900,999,174,393,
305,265,887,754,714,348,933,806,649,016,493,560,609,821,964,494,950,111,622,
643,981,216,200,022,123,615,573,695,401,271,318,526,016,433,499,000,388,066,
663,065,986,503,711,220,337,088,423,815,760,088,449,193,126,076,563,882,200,
083,228,727,502,110,347,143,153,613,339,907,946,345,909,888,183,537,041,715,
449,376,451,887,657,933,460,466,283,153,174,758,090,032,083,400,266,019,840,
000,704,919,958,366,758,409,213,622,822,484,242,937,079,420,850,820,624,664,
000,256,666,638,236,945,717,807,467,002,874,641,560,993,088,570,188,106,438,
057,620,984,573,293,838,197,342,215,783,527,025,101,925,809,181,364,494,926,
498,945,207,536,904,389,603,971,057,123,145,181,369,693,886,365,379,678,501,
812,092,027,414,555,453,618,685,510,885,765,014,451,600,086,335,386,004,397,
191,706,067,078,583,608,646,306,128,924,996,827,509,513,127,692,830,496,108,
088,790,014,552,045,213,548,128,863,221,233,046,021,354,259,989,298,345,664,
416,833,596,599,645,561,008,427,251,918,166,817,159,770,080,003,150,951,802,
388,272,899,043,888,600,307,127,558,975,495,431,882,170,832,434,638,387,370,
152,089,690,368,106,423,265,630,448,540,448,395,559,661,479,895,427,511,048,
418,163,606,959,603,060,587,086,025,529,694,295,806,896,384,262,033,424,397,
764,272,646,746,464,148,278,254,294,855,941,019,090,412,252,174,016,065,920,
891,411,637,290,301,576,915,744,257,947,740,425,139,087,016,558,694,191,512,
104,014,437,330,090,482,745,173,470,010,771,436,675,236,774,720,317,663,565,
780,602,842,238,686,430,012,797,058,559,095,222,803,565,841,313,133,533,430,
652,545,566,723,621,539,779,386,224,131,039,637,022,221,269,883,879,592,451,
125,892,920,649,316,898,421,441,635,179,050,956,012,223,466,107,309,612,133,
457,002,450,932,938,075,912,765,087,553,606,634,293,326,606,215,933,813,294,
078,028,478,308,853,346,743,973,214,162,793,359,977,862,082,137,680,197,145,
979,776,266,343,274,118,690,164,044,126,655,657,637,005,401,566,066,458,210,
024,393,011,953,396,268,832,405,042,431,432,634,416,159,627,220,012,969,349,
006,282,494,951,909,443,192,184,319,402,378,789,130,869,846,916,524,662,800,
072,299,117,376,314,687,684,172,260,958,531,228,817,800,661,727,592,128,061,
444,685,302,182,273,199,229,935,459,284,030,524,958,101,163,602,790,150,759,
380,692,032,547,503,917,775,646,565,623,060,267,619,389,949,287,897,477,966,
200,926,833,476,347,569,996,920,155,091,901,437,741,189,835,698,263,054,079,
461,267,057,198,527,957,361,649,634,447,315,249,563,782,936,638,673,487,134,
895,746,960,003,489,031,352,687,837,613,400,012,246,238,667,840,050,603,475,
702,224,605,927,190,104,885,219,020,383,601,745,769,980,409,044,381,000,371,
449,472,334,264,910,281,609,360,453,702,768,690,041,746,098,223,091,499,067,
106,276,591,723,593,653,294,808,952,552,218,807,915,100,129,948,363,944,625,
435,947,120,219,318,572,054,872,355,607,076,534,343,024,653,920,751,555,058,
132,418,367,916,072,650,010,457,885,132,636,491,411,883,047,170,925,465,597,
922,652,618,948,524,391,055,944,016,835,137,881,255,163,909,110,881,244,443,
892,472,073,124,113,953,904,092,125,011,506,800,199,355,729,896,028,599,160,
670,329,302,350,818,522,266,924,739,372,274,145,767,015,352,175,248,729,309,
168,356,799,469,135,703,702,483,017,276,716,725,194,879,225,352,991,009,269,
158,843,469,772,035,768,402,693,296,797,276,130,656,700,689,771,149,255,541,
533,991,119,945,135,848,539,407,628,651,159,910,317,915,195,314,214,055,375,
563,415,977,916,866,408,997,753,651,342,168,550,040,272,103,762,747,507,243,
973,455,193,412,373,265,745,223,266,083,060,118,560,442,800,847,948,833,376,
856,205,119,055,148,790,407,764,303,607,546,847,609,250,767,121,409,112,383,
457,451,224,788,173,450,135,703,362,647,130,346,847,672,986,911,444,832,938,
605,951,471,957,635,377,922,228,183,396,158,545,264,227,957,679,129,774,852,
230,188,785,729,848,979,149,380,144,049,919,055,714,808,215,848,846,254,436,
165,958,387,629,697,716,366,868,157,444,747,090,791,171,872,652,235,701,122,
792,553,189,583,537,184,691,088,881,162,835,055,233,725,620,108,955,486,245,
858,864,030,753,002,842,338,643,754,041,928,154,032,852,679,489,496,660,390,
843,353,360,955,558,161,079,975,473,918,357,180,731,297,282,722,531,888,239,
156,404,237,083,171,727,059,125,852,298,570,841,191,618,305,555,271,242,853,
789,439,950,388,780,506,609,335,884,996,507,492,862,937,583,829,437,702,072,
674,561,960,990,460,933,392,634,949,576,373,991,572,857,210,721,547,023,875,
279,288,184,222,006,686,904,148,753,198,566,828,549,641,719,868,330,260,693,
868,174,156,464,880,543,089,728,218,781,977,796,039,503,614,174,688,771,369,
061,750,924,011,050,043,225,605,915,692,601,854,028,713,005,174,403,120,686,
475,316,876,143,517,705,888,159,559,415,890,824,850,082,967,761,806,421,958,
374,002,525,199,532,491,910,492,406,728,672,913,958,242,108,613,924,619,294,
836,659,395,837,051,177,449,966,976,016,807,978,812,741,226,480,690,539,175,
852,013,357,101,190,209,422,150,005,469,076,377,846,418,726,120,718,472,469,
989,207,641,259,633,660,905,220,506,434,236,774,088,189,118,024,403,681,043,
619,529,844,390,571,200,015,300,543,136,549,503,108,731,654,017,486,056,318,
021,169,475,103,225,378,632,584,189,495,371,242,740,682,794,472,070,294,846,
898,018,162,401,054,380,564,760,417,845,049,549,326,941,798,759,496,874,779,
894,165,469,902,876,671,443,906,143,423,357,857,677,640,894,069,830,099,888,
313,457,556,222,163,540,332,940,964,205,298,761,650,673,252,127,149,973,850,
854,919,407,194,279,508,121,171,421,849,819,923,839,338,843,409,957,624,155,
798,079,668,495,707,848,361,369,041,578,499,061,691,307,202,257,957,125,773,
070,094,844,985,400,447,922,288,264,931,880,122,113,040,583,146,389,420,772,
264,115,332,841,439,933,762,892,481,008,167,515,089,764,608,075,787,517,488,
234,900,464,032,592,709,138,345,213,824,467,313,101,022,546,113,143,620,378,
096,784,283,318,245,465,175,714,423,748,513,064,446,643,156,917,194,671,366,
452,577,633,496,349,589,381,181,261,116,582,994,753,030,431,862,064,025,667,
347,117,220,872,302,087,624,408,002,229,066,802,011,418,637,820,290,171,777,
011,125,230,185,978,558,261,929,754,075,344,911,960,829,386,727,985,831,565,
705,766,082,932,309,713,237,522,780,611,587,652,013,401,003,124,069,895,136,
777,342,016,742,054,756,459,909,725,784,851,356,435,972,623,779,210,018,514,
706,146,337,855,129,595,805,521,377,460,331,417,719,052,440,548,952,732,368,
516,976,674,234,865,151,024,032,282,377,944,938,799,408,826,501,986,831,524,
289,274,197,613,258,208,426,092,808,985,146,813,189,180,806,088,579,431,133,
507,795,191,874,987,870,843,060,545,810,779,124,321,823,514,208,194,846,939,
253,008,543,705,627,168,170,409,378,685,092,127,741,735,443,747,290,669,457,
244,880,450,505,502,859,277,782,359,420,029,874,333,328,381,027,742,051,473,
785,704,756,194,337,433,841,353,487,777,603,743,408,837,275,976,887,920,306,
578,626,910,113,326,587,904,558,933,434,525,590,269,501,458,379,530,056,185,
404,286,631,558,534,048,556,801,764,291,558,399,278,162,377,149,380,635,067,
557,767,462,191,016,098,789,440,920,146,221,546,495,628,118,633,197,713,836,
069,178,994,853,338,495,276,295,086,184,507,975,919,956,346,153,236,863,366,
482,207,217,338,679,272,088,326,458,224,041,855,068,743,967,031,456,231,401,
346,885,063,168,752,470,611,892,598,401,304,751,735,393,608,586,216,511,280,
785,471,368,047,646,456,148,720,554,858,746,964,031,222,194,103,090,945,511,
413,194,831,066,805,431,885,501,106,809,104,164,589,307,919,901,110,929,159,
777,682,295,224,924,907,177,500,328,642,133,646,324,233,226,631,191,865,275,
798,923,305,974,721,853,108,759,866,048,142,881,822,553,642,191,021,350,751,
568,743,630,538,357,599,650,012,888,859,042,800,868,109,190,756,365,562,460,
421,544,722,968,180,600,418,249,192,749,200,433,104,021,408,813,171,591,344,
294,533,652,640,633,381,004,944,520,860,691,984,342,729,630,439,846,223,628,
071,019,087,113,255,752,541,410,536,305,189,941,161,870,834,868,125,264,809,
542,459,961,795,234,176,879,070,462,797,635,646,106,877,784,649,460,910,554,
700,686,095,519,393,382,050,492,555,794,564,364,091,424,811,522,384,155,600,
685,523,259,286,742,787,155,165,777,837,086,023,257,367,419,015,405,314,746,
154,526,595,399,116,135,224,016,319,167,354,262,788,140,233,724,493,939,613,
298,363,799,760,565,308,951,024,914,720,924,319,126,938,991,922,293,865,818,
509,677,485,740,649,263,508,006,377,623,816,833,552,404,838,166,493,229,177,
568,137,240,698,886,651,251,776,399,219,569,677,384,162,764,137,939,920,286,
066,234,820,959,558,998,655,758,264,696,760,156,835,839,042,969,703,355,634,
637,562,550,831,032,979,344,931,084,075,707,521,658,751,570,210,522,011,045,
665,001,135,616,156,349,514,807,736,712,227,953,393,451,297,993,923,755,016,
708,487,511,889,250,995,174,647,671,837,549,356,401,919,043,893,153,524,783,
657,555,803,447,748,273,960,325,078,996,528,919,432,682,011,950,671,424,386,
876,437,058,542,560,585,065,836,114,995,074,112,590,225,133,010,811,828,291,
708,276,880,515,505,477,479,393,134,297,105,306,448,342,962,303,674,973,036,
590,645,278,655,229,144,342,391,332,119,890,236,765,591,124,198,082,939,847,
872,604,614,826,398,597,438,805,521,893,398,033,268,763,951,317,783,814,274,
829,581,851,124,376,765,257,877,883,755,638,905,268,112,096,507,887,951,112,
649,833,898,824,562,320,139,191,269,052,263,276,564,607,815,969,913,369,587,
495,619,708,136,371,129,914,430,447,862,793,309,448,250,228,345,084,687,808,
503,567,887,901,457,869,926,517,773,256,935,388,594,092,847,659,293,410,363,
020,270,331,040,021,802,776,220,173,961,095,471,012,359,571,544,394,668,119,
315,484,366,142,807,963,660,748,441,046,747,172,771,380,372,643,466,643,399,
729,837,783,517,030,424,111,486,119,768,465,866,586,004,670,374,409,943,928,
689,548,037,221,120,016,152,222,222,435,108,406,501,430,517,291,662,944,506,
255,669,121,654,964,451,327,463,214,632,216,550,397,112,640,687,081,743,829,
458,437,406,681,312,387,247,637,973,181,156,112,601,093,557,683,239,112,491,
054,373,285,544,538,321,364,818,203,470,149,948,751,483,578,158,313,545,818,
560,351,517,953,714,196,968,173,060,592,227,338,245,539,168,155,491,045,856,
996,558,911,146,982,897,801,180,251,669,534,848,629,940,285,911,919,733,241,
453,564,183,078,511,443,218,033,648,627,123,930,786,978,839,796,814,380,845,
940,300,112,888,170,016,275,387,783,053,215,882,300,061,202,469,291,695,409,
612,390,062,194,945,021,899,898,571,440,118,627,742,667,613,724,432,619,511,
230,892,804,133,975,423,235,323,964,769,574,409,321,990,937,563,472,424,546,
299,405,744,477,021,010,776,754,698,335,832,046,117,092,267,665,105,850,493,
284,750,837,526,380,186,872,769,031,784,432,458,787,084,720,418,760,317,037,
990,075,500,266,816,438,122,476,010,372,510,210,149,012,995,611,152,782,898,
051,818,197,600,949,285,726,313,218,071,265,375,885,265,913,438,310,574,567,
072,617,168,740,732,893,855,604,157,234,494,329,832,159,171,118,025,654,672,
738,707,161,253,218,689,667,590,341,142,033,574,990,159,520,376,020,377,436,
765,272,287,754,098,905,421,709,433,784,476,416,166,135,312,710,477,324,777,
377,338,364,533,005,803,547,538,420,040,169,189,143,300,429,013,311,798,415,
108,046,862,920,594,673,560,053,769,707,815,039,817,846,006,716,555,397,752,
979,465,681,371,042,915,564,751,084,074,260,159,135,754,457,262,845,248,983,
186,935,975,572,893,005,520,318,284,376,989,086,867,182,336,866,831,993,564,
868,894,493,257,829,472,841,655,671,743,108,226,405,102,307,049,981,001,590,
703,419,727,190,001,607,257,308,445,439,037,455,251,010,292,256,177,280,212,
574,520,761,589,041,744,697,942,121,685,044,989,765,627,633,342,599,474,796,
737,133,508,653,408,317,830,242,058,212,118,205,413,943,961,949,352,084,214,
679,532,163,173,838,511,344,515,732,843,634,117,184,344,935,202,455,778,390,
869,686,125,272,523,721,658,636,053,549,511,549,046,557,532,153,285,181,221,
914,237,296,242,564,039,607,534,090,583,041,737,196,719,181,761,649,871,106,
755,756,544,911,684,371,932,520,560,860,239,902,572,131,845,459,844,390,413,
425,148,756,563,371,376,361,997,970,067,800,427,800,089,456,563,575,597,156,
550,025,116,470,898,487,123,322,536,501,408,646,818,269,620,454,125,580,298,
021,097,169,029,399,785,991,702,693,798,904,802,420,730,776,683,582,960,866,
231,701,247,958,140,956,201,219,508,229,978,411,176,450,855,277,760,249,696,
237,612,626,242,273,568,441,153,437,080,467,789,354,378,159,585,360,143,206,
334,512,528,510,817,623,499,024,667,149,736,354,202,223,068,558,233,123,688,
616,974,092,661,597,079,908,211,704,880,513,355,051,983,371,862,462,994,163,
754,733,868,058,681,233,271,685,477,082,459,046,501,397,468,502,510,056,492,
853,917,074,134,290,234,621,584,921,544,302,637,690,407,162,153,036,779,196,
499,979,924,952,602,727,808,094,984,861,106,508,789,558,902,142,976,819,493,
617,609,766,912,792,274,407,971,386,200,314,858,681,542,694,889,612,350,093,
379,503,028,843,243,288,428,519,752,088,781,052,741,099,182,322,650,017,456,
960,179,294,039,600,152,715,458,387,490,620,768,677,646,444,859,858,892,681,
060,002,295,191,183,275,178,410,603,238,636,165,933,628,834,684,435,715,564,
502,616,544,407,767,855,721,649,859,926,042,452,034,715,724,191,896,373,114,
888,522,926,912,531,678,485,994,120,409,041,801,881,891,295,016,338,429,212,
448,700,770,843,999,263,509,902,518,884,181,051,994,809,480,268,522,041,453,
869,273,317,202,702,414,690,667,906,149,513,544,434,427,416,972,532,896,739,
459,035,878,015,966,850,311,465,822,643,638,773,610,875,144,400,702,628,576,
904,691,896,389,163,442,813,277,585,021,813,758,230,776,361,599,554,342,559,
889,618,695,400,954,457,426,576,509,722,043,421,326,785,815,962,107,467,403,
453,658,782,431,809,791,618,128,503,626,792,747,257,564,313,501,077,940,134,
157,209,539,504,064,167,317,917,916,935,549,748,778,266,295,272,695,018,414,
894,560,350,576,549,694,342,490,775,293,802,973,148,311,740,461,388,052,254,
267,296,954,356,930,209,827,896,596,741,222,932,876,800,967,451,710,797,659,
615,656,094,979,242,708,015,124,937,760,610,501,888,336,595,850,737,572,713,
200,007,884,650,212,826,889,528,143,496,678,544,948,226,771,930,187,036,809,
556,689,904,147,007,859,811,449,640,482,679,140,464,554,515,825,885,070,744,
768,083,075,459,937,255,188,894,132,375,634,539,943,185,452,815,509,126,983,
010,994,571,126,815,323,597,718,990,653,268,909,812,012,688,440,343,537,867,
234,312,124,838,593,962,065,948,789,154,279,073,059,296,069,331,801,108,150,
764,973,164,819,319,730,962,954,517,122,776,184,327,661,012,742,070,150,625,
525,262,432,214,426,477,649,506,406,777,504,328,408,241,509,281,972,348,574,
089,321,926,253,884,016,712,786,854,273,286,331,798,116,692,047,857,847,845,
712,550,681,145,741,775,983,206,105,764,982,944,989,575,358,250,227,836,230,
270,245,909,996,459,116,134,737,571,669,312,087,393,125,817,060,025,329,877,
081,249,216,528,047,299,567,229,451,785,053,016,641,518,344,485,466,639,804,
732,112,804,355,723,375,256,943,081,752,069,332,194,863,515,850,979,773,165,
240,263,962,547,665,564,842,549,305,309,093,074,338,431,934,520,419,469,014,
962,879,252,801,772,687,022,415,230,608,657,406,639,070,570,577,904,761,158,
822,541,144,612,405,030,175,701,950,184,257,981,509,696,520,482,582,740,044,
780,801,024,141,128,105,574,549,918,232,239,520,797,593,053,222,053,072,840,
724,192,604,510,619,428,780,386,671,128,560,614,689,118,928,571,845,738,382,
951,806,832,061,635,980,084,075,461,465,812,017,643,027,037,964,742,022,389,
206,798,775,131,683,131,722,779,842,508,432,303,413,953,147,015,927,749,353,
528,479,842,379,906,244,593,524,075,499,254,178,910,731,544,549,396,213,682,
396,477,401,644,690,124,876,989,880,935,276,990,335,419,235,641,049,453,677,
743,543,340,478,619,520,002,020,670,995,452,149,973,120,397,301,540,728,276,
805,257,319,549,288,582,368,291,640,811,500,482,191,869,238,617,560,266,360,
230,009,168,285,224,454,691,544,424,034,516,859,981,862,108,697,990,605,139,
824,198,820,462,895,526,832,729,048,157,226,671,319,097,052,259,457,227,053,
618,847,119,440,801,366,971,515,578,642,812,687,265,945,857,594,892,259,138,
067,101,662,273,149,429,998,164,930,651,829,959,297,591,048,634,611,277,542,
186,900,932,281,024,091,015,618,895,562,303,119,412,721,145,065,415,525,529,
873,691,947,460,336,342,207,309,267,495,753,082,797,348,152,672,915,221,293,
815,070,301,649,615,711,253,430,750,702,437,120,432,759,659,950,420,849,845,
520,220,602,622,680,933,883,548,005,211,637,879,104,665,160,704,245,529,030,
068,693,053,762,756,887,286,433,960,742,291,201,497,058,474,680,645,768,239,
110,986,709,884,444,880,509,689,508,086,768,407,459,195,819,518,699,149,651,
313,640,524,776,984,119,667,871,510,257,494,093,733,416,305,773,099,728,455,
908,386,778,625,179,641,503,520,105,031,232,686,841,256,241,957,665,550,955,
085,627,549,127,628,303,087,344,834,415,896,557,271,427,052,463,424,931,965,
810,973,767,316,983,604,472,520,738,126,867,653,990,869,681,968,110,359,378,
337,383,945,192,345,071,897,190,488,512,073,502,096,366,097,315,625,307,716,
341,479,423,092,172,645,674,361,570,493,342,514,672,886,342,190,065,092,840,
128,302,463,147,444,521,742,578,269,678,609,309,287,251,211,504,124,017,789,
851,566,719,673,640,253,404,762,789,237,621,270,797,684,622,283,816,935,323,
989,852,430,204,114,335,838,560,907,438,431,966,144,254,326,342,604,331,416,
948,438,511,020,241,889,884,176,871,150,891,077,955,393,458,122,059,591,431,
767,642,339,057,834,283,870,001,202,870,644,930,984,740,920,575,982,520,303,
682,219,123,292,292,572,241,153,103,705,496,942,081,505,518,725,985,487,089,
302,620,253,836,969,571,208,797,991,768,413,309,022,715,088,172,123,027,660,
920,620,179,316,976,005,756,139,997,513,595,069,176,544,352,166,092,470,576,
561,324,979,476,822,060,754,081,292,775,276,336,902,537,745,617,204,587,707,
361,569,338,341,088,619,305,264,048,712,517,894,670,196,385,517,144,734,502,
696,656,392,003,657,740,716,638,540,548,114,212,022,493,937,831,223,846,979,
019,855,540,574,593,709,368,006,834,506,563,684,915,329,236,888,051,548,930,
064,311,410,885,685,598,076,331,328,645,808,987,850,663,664,154,766,152,767,
945,657,373,930,915,494,272,575,499,131,233,336,312,199,469,526,781,642,774,
549,112,164,984,832,907,858,226,356,495,766,601,609,604,557,752,973,608,401,
622,361,880,598,814,113,219,703,534,042,662,689,787,458,567,144,608,193,808,
982,714,029,794,225,342,446,025,585,409,061,291,472,754,640,878,079,798,002,
631,672,455,894,077,595,362,382,043,122,173,923,002,879,030,727,327,910,832,
107,553,126,525,691,940,293,618,133,070,890,056,646,937,759,851,313,125,999,
983,508,261,215,339,130,365,740,783,138,930,299,286,965,633,215,553,985,324,
279,531,677,055,998,815,766,482,207,509,398,438,981,656,451,100,713,767,080,
265,428,500,403,737,469,997,519,951,063,274,357,123,599,709,160,558,695,532,
955,318,436,749,815,414,741,229,529,207,361,163,594,169,259,754,021,429,796,
687,542,937,981,241,185,353,933,665,681,189,741,536,509,597,629,264,762,998,
090,524,069,707,961,151,623,973,526,302,242,856,593,874,533,371,529,356,420,
690,566,417,074,300,650,892,409,510,350,445,080,892,215,886,006,272,244,023,
649,124,598,440,734,548,783,272,533,450,215,275,372,868,025,373,097,935,064,
793,803,689,064,909,909,679,527,438,238,963,152,728,576,397,392,957,052,585,
977,697,113,025,210,341,568,287,349,701,083,580,373,943,030,164,239,972,191,
917,736,459,104,014,464,510,415,986,682,787,594,160,287,854,131,456,236,399,
622,770,968,513,409,057,529,906,509,260,555,091,425,093,195,200,542,631,227,
519,458,573,856,545,440,441,901,483,714,028,438,208,837,598,789,765,165,502,
327,208,868,995,428,333,398,119,221,039,987,563,696,333,155,303,788,753,115,
182,832,897,326,148,523,125,109,952,977,508,106,355,888,312,262,014,453,658,
494,651,865,526,528,391,970,096,880,864,677,512,573,158,487,552,975,868,720,
561,146,340,426,174,008,231,770,845,971,025,630,482,210,610,393,212,740,555,
219,132,483,790,095,828,058,725,794,096,921,626,693,585,766,626,645,714,694,
548,571,566,593,478,803,541,956,667,168,565,742,416,859,741,505,553,438,741,
673,793,271,231,435,481,312,450,289,622,109,923,569,448,571,356,689,651,707,
265,152,271,596,609,917,756,710,464,614,748,404,394,899,068,741,677,522,811,
043,227,413,207,005,336,552,638,811,758,234,985,883,467,216,374,798,734,124,
794,743,869,381,123,998,368,912,723,825,630,039,499,559,918,221,282,573,649,
300,819,270,548,183,028,581,252,186,638,308,189,804,126,795,354,340,846,890,
505,689,892,508,156,812,043,975,592,610,244,176,633,953,019,410,658,060,098,
362,575,477,186,118,058,801,329,251,942,504,692,627,375,367,777,554,768,286,
195,090,443,186,481,918,075,743,341,022,569,437,290,369,436,092,193,953,937,
099,564,947,431,952,611,753,565,435,070,831,945,778,336,160,432,584,240,598,
129,368,570,380,893,092,114,384,392,809,680,481,528,208,470,982,865,052,606,
320,446,560,093,375,857,299,206,952,099,471,212,013,406,192,597,316,035,187,
709,291,449,742,777,759,681,679,597,016,515,991,816,370,924,959,201,522,046,
789,828,884,323,375,137,160,165,386,402,414,834,302,365,620,561,791,416,667,
345,249,380,194,023,268,020,024,198,986,439,058,372,138,088,694,444,280,511,
906,776,720,260,396,304,117,614,674,386,205,565,150,992,088,472,410,007,991,
075,665,560,130,525,742,735,424,749,918,536,027,243,002,517,738,811,596,477,
938,318,687,347,343,652,521,244,178,199,610,986,096,815,484,141,401,821,812,
913,630,370,973,898,507,386,398,619,091,901,986,426,581,422,453,782,444,669,
031,850,143,605,125,772,868,929,631,807,987,571,282,321,702,610,457,634,108,
604,534,103,787,670,470,076,984,516,911,375,170,101,655,034,594,993,938,230,
852,822,256,016,913,693,091,670,346,762,977,597,694,708,215,837,057,704,809,
688,831,334,216,008,324,158,761,707,513,093,776,683,258,145,388,886,109,754,
002,035,453,573,084,187,497,025,841,335,088,572,681,845,230,026,455,610,942,
775,845,162,084,795,898,915,997,526,153,482,648,267,557,822,893,154,398,229,
678,403,952,993,167,038,683,728,978,244,418,840,936,906,378,599,048,246,008,
161,713,860,492,777,144,716,461,259,515,487,395,155,938,881,267,198,317,988,
844,493,248,360,334,368,493,419,204,480,475,683,920,246,973,997,677,685,803,
992,120,133,233,258,922,501,423,678,607,049,268,236,959,746,108,266,231,556,
458,616,163,834,794,987,293,494,310,895,126,450,883,601,354,248,587,154,106,
398,471,442,703,493,781,156,537,761,537,290,866,354,159,950,632,084,308,775,
717,095,033,064,913,907,865,566,295,836,650,668,859,173,288,442,504,166,253,
461,522,078,762,573,122,729,985,480,537,448,576,515,925,370,095,468,608,247,
060,251,802,479,402,501,181,346,698,693,242,360,341,641,311,330,715,029,300,
072,175,290,701,518,624,493,382,600,176,737,946,051,476,329,217,085,239,638,
974,897,556,427,783,467,820,276,001,547,901,271,999,954,596,111,083,723,585,
139,321,500,483,200,041,882,821,402,857,775,425,183,435,703,849,769,206,556,
230,413,780,695,137,841,174,207,330,098,415,664,959,720,297,276,341,785,535,
663,855,921,522,920,596,779,700,564,546,349,853,155,931,384,009,112,376,285,
588,614,346,411,453,149,954,596,007,543,744,028,780,024,316,022,462,341,280,
377,970,811,339,002,393,129,217,915,624,640,137,126,212,699,118,240,641,664,
399,380,308,338,027,745,192,149,219,392,063,675,910,478,143,741,420,121,623,
169,317,753,981,728,687,154,148,756,384,077,368,685,853,429,574,298,922,953,
733,556,837,586,481,124,174,003,215,763,914,196,600,637,684,446,020,112,757,
152,631,334,042,165,902,101,624,204,879,245,041,527,978,217,056,393,707,118,
700,563,804,687,782,853,611,791,138,971,886,999,651,173,241,856,982,026,585,
455,817,749,145,985,952,277,802,416,661,032,725,438,432,731,731,276,888,416,
279,400,014,097,849,536,843,156,236,362,848,647,988,676,411,708,621,111,011,
565,675,658,210,154,922,580,590,976,967,914,569,564,743,566,313,905,896,276,
966,196,296,327,868,584,662,176,257,011,955,963,781,741,363,701,322,040,744,
825,718,217,883,521,257,511,415,855,749,737,864,274,629,067,563,510,972,630,
331,135,516,876,811,911,872,431,705,410,987,162,250,948,239,337,119,755,067,
759,471,889,178,221,711,455,915,316,373,294,442,932,091,279,550,732,518,549,
060,617,154,969,990,391,714,446,797,179,904,377,512,009,840,695,127,232,465,
993,036,591,879,679,187,830,590,653,693,436,352,217,059,296,076,330,874,073,
135,563,039,921,636,857,994,792,179,146,900,634,316,003,664,325,960,102,034,
486,738,267,735,733,872,037,201,258,510,642,493,223,180,471,853,040,382,615,
077,268,347,080,963,675,453,615,203,438,865,331,927,484,425,976,361,091,392,
629,853,723,916,458,061,976,911,959,485,920,393,085,179,109,212,452,653,827,
853,453,061,152,838,409,470,945,042,955,453,406,544,574,650,413,000,298,172,
123,920,561,122,286,893,230,404,848,427,812,585,746,377,889,014,318,428,441,
237,134,061,298,054,431,961,532,546,729,673,750,910,810,570,890,368,193,052,
549,162,353,647,463,876,842,211,705,508,560,677,636,814,928,113,644,938,785,
230,180,521,373,176,473,035,497,985,925,577,544,898,838,693,074,477,174,856,
432,139,394,747,925,855,234,043,294,625,556,598,840,164,251,731,122,052,903,
184,466,266,153,395,311,958,438,832,286,907,190,472,735,021,633,759,207,844,
979,419,240,693,547,034,768,739,437,358,609,450,790,532,586,962,191,190,669,
768,699,424,047,877,990,450,453,643,943,522,956,287,966,240,471,921,816,472,
578,121,320,209,245,001,180,771,945,184,789,229,401,399,509,536,853,600,050,
361,303,804,141,210,152,670,788,906,120,657,009,292,431,485,481,003,290,388,
865,142,405,843,468,255,213,803,512,027,779,105,932,799,074,128,231,905,322,
182,396,415,809,255,437,155,674,908,323,380,853,757,971,319,666,409,322,541,
748,576,273,759,996,037,610,401,968,982,946,623,147,120,801,336,820,345,792,
255,098,736,076,656,897,646,332,320,424,508,390,793,344,322,851,524,904,220,
292,921,242,295,418,308,440,987,398,009,564,615,708,858,403,296,659,668,110,
974,149,783,341,316,057,391,982,433,871,320,466,249,451,073,796,876,165,237,
656,664,210,363,667,669,795,248,165,771,498,756,287,090,058,610,481,157,273,
859,048,102,197,143,426,120,785,675,817,033,701,920,076,262,295,360,533,772,
274,158,431,774,514,049,285,456,985,775,851,299,662,076,195,344,664,502,700,
652,161,773,089,971,040,486,558,485,788,080,814,110,023,143,128,094,933,317,
120,093,377,611,004,147,275,252,999,080,416,313,744,811,064,960,378,920,307,
642,896,996,924,754,650,535,486,594,971,829,885,704,129,397,265,225,348,507,
816,039,891,577,906,353,679,797,272,738,273,367,616,525,342,324,876,737,411,
502,028,573,076,512,116,325,400,692,604,187,946,619,029,294,028,452,295,043,
736,590,048,844,122,817,107,345,510,728,058,205,406,955,579,580,187,579,633,
532,429,870,365,145,892,845,088,212,754,105,760,412,292,684,391,957,074,084,
282,853,975,791,010,083,063,981,981,314,287,945,987,820,238,122,782,242,736,
341,643,221,129,595,561,216,131,549,617,342,990,868,946,269,579,864,042,880,
814,785,806,938,559,870,998,207,701,184,204,098,311,820,311,176,949,425,663,
779,948,485,531,006,296,785,256,234,608,542,931,497,542,830,031,858,852,685,
554,800,534,081,216,926,830,249,994,187,274,022,323,256,349,070,637,219,902,
154,555,975,268,495,078,998,754,220,207,386,309,354,504,156,747,785,214,223,
049,354,796,748,791,352,363,061,617,734,743,536,232,978,464,790,687,212,017,
317,477,057,885,593,980,280,041,985,678,855,158,014,109,863,623,723,972,596,
695,070,007,773,616,520,164,730,925,499,939,770,212,179,108,792,619,017,054,
307,771,887,707,198,496,862,508,012,077,138,092,294,039,159,288,044,397,313,
772,643,127,133,586,302,574,591,318,602,656,400,588,031,679,697,560,129,346,
228,194,994,555,606,112,443,497,096,581,713,744,832,288,585,292,585,662,608,
285,407,630,893,194,439,653,345,191,398,034,003,791,605,613,277,294,853,521,
998,755,510,371,752,674,555,178,370,538,640,013,890,582,317,255,726,018,437,
209,200,570,108,902,631,888,763,418,186,067,236,882,063,848,720,138,171,763,
822,731,417,576,386,420,879,715,436,646,228,786,052,777,390,612,339,302,105,
515,011,809,691,882,111,029,299,431,217,219,630,350,785,082,899,842,042,718,
085,585,464,762,538,366,070,750,504,766,779,020,288,978,633,387,757,018,898,
450,484,274,134,985,770,067,921,213,617,806,982,142,743,893,408,795,846,887,
695,389,729,500,966,375,234,016,427,336,041,595,248,037,844,285,377,494,383,
579,369,236,529,891,282,982,470,291,135,041,112,439,409,690,489,147,915,139,
256,315,960,398,197,889,375,014,881,334,830,316,826,546,806,812,234,691,599,
145,444,151,855,082,316,976,088,898,986,706,622,901,215,366,774,022,976,700,
448,090,606,502,564,202,091,626,034,106,981,533,030,795,282,422,466,898,383,
081,644,385,653,258,617,721,671,030,734,518,327,915,426,002,020,841,140,111,
715,187,253,930,021,981,497,017,316,841,921,184,309,173,749,966,234,408,870,
122,035,986,971,132,744,664,911,243,806,166,588,613,161,582,176,010,511,183,
054,856,618,707,917,531,916,409,392,863,177,791,543,590,689,773,231,607,003,
487,005,182,397,515,810,040,667,494,358,226,728,681,547,020,755,027,438,988,
144,076,064,025,949,988,292,892,665,303,132,243,528,138,009,139,597,754,808,
365,840,800,770,429,122,479,673,519,665,047,214,777,288,219,919,391,209,402,
548,399,473,940,415,567,732,039,159,369,311,212,381,888,437,547,478,174,854,
700,001,834,919,009,716,522,370,020,011,423,075,920,135,994,285,410,846,022,
653,828,586,769,280,258,939,869,726,735,264,252,189,441,285,090,144,998,027,
797,268,812,278,176,857,574,071,715,970,854,633,148,781,716,556,018,500,925,
683,504,840,197,611,215,889,294,412,271,382,450,241,767,781,172,516,310,584,
039,144,166,578,643,162,243,370,804,312,309,812,485,817,387,589,198,899,752,
958,647,068,112,898,917,628,476,684,458,356,788,105,686,101,072,487,350,096,
707,849,515,899,202,201,425,519,533,616,788,172,108,601,041,078,844,965,466,
633,839,672,128,621,640,429,579,930,217,796,293,217,575,475,157,610,182,325,
512,808,831,484,681,759,048,123,661,248,235,402,806,973,809,726,713,918,470,
768,613,227,724,161,057,551,416,296,131,205,158,711,831,418,339,140,259,552,
472,827,258,161,137,575,750,647,553,303,017,573,275,088,032,593,488,090,653,
415,735,901,479,719,346,332,450,308,993,107,143,149,223,900,593,112,228,877,
584,296,275,417,703,674,489,882,702,202,198,181,473,190,563,211,262,597,444,
636,627,305,930,515,281,162,744,182,940,528,105,170,829,131,492,118,620,089,
974,981,477,138,859,519,779,250,211,923,182,986,991,931,227,204,326,204,740,
124,577,528,585,078,340,983,364,655,618,289,115,056,234,745,538,779,548,045,
487,298,411,637,192,261,642,115,314,948,267,831,288,476,425,458,112,159,160,
428,899,403,588,626,674,598,001,745,261,388,209,618,517,829,560,151,364,352,
744,752,078,155,473,797,391,489,441,430,303,669,328,886,006,151,728,143,612,
700,916,334,638,760,209,261,553,993,589,912,930,965,537,937,954,555,657,389,
846,997,881,778,229,586,392,432,367,297,892,941,062,297,521,740,323,504,576,
819,494,595,779,083,712,586,739,981,242,683,607,359,062,360,763,356,378,015,
524,677,682,881,547,831,586,679,292,751,923,097,125,053,254,407,579,637,944,
216,368,471,229,349,021,786,577,025,372,081,133,334,364,344,356,979,964,561,
862,434,234,327,096,904,548,186,596,672,550,614,784,631,769,048,949,499,387,
466,946,703,548,989,560,917,173,285,787,582,610,652,988,132,818,927,231,031,
656,782,377,026,133,006,575,679,367,945,308,673,440,193,756,469,500,749,722,
514,720,987,058,745,728,846,314,238,747,900,254,767,824,458,347,548,607,292,
704,395,391,092,579,509,208,685,472,790,025,173,506,887,451,414,348,370,890,
798,057,258,320,687,334,776,512,348,680,341,152,880,143,881,448,970,282,888,
260,290,581,072,505,833,849,583,943,088,756,829,807,312,721,303,046,383,222,
890,009,373,138,225,584,064,236,318,468,714,910,627,948,617,229,141,342,793,
243,766,523,862,566,322,360,576,023,477,672,861,291,686,594,198,282,109,016,
930,090,768,579,697,741,495,502,437,985,108,520,025,418,722,835,314,182,924,
842,550,028,095,217,649,811,791,290,701,571,579,286,709,232,784,282,815,137,
559,915,583,408,517,674,387,295,529,997,560,696,332,625,563,080,518,357,781,
403,982,442,537,668,747,462,177,200,417,367,078,329,410,865,656,833,247,383,
843,547,397,870,265,648,626,404,521,039,626,895,585,292,062,860,178,877,637,
934,064,520,707,399,029,707,082,700,412,994,639,270,717,511,660,928,894,053,
648,281,072,731,512,601,270,804,429,032,741,603,428,847,506,965,248,428,772,
482,957,413,146,902,038,850,073,458,905,514,515,393,701,776,181,780,145,402,
756,749,228,715,621,812,355,364,056,178,265,708,559,122,153,053,821,905,989,
960,468,605,059,191,449,798,539,718,839,078,388,607,910,572,201,462,339,114,
830,863,313,690,273,948,437,878,951,202,875,377,787,326,281,358,471,441,710,
896,384,325,620,223,432,301,096,724,645,034,348,214,269,410,138,417,040,835,
106,670,562,199,522,441,929,898,552,557,311,922,035,810,604,804,169,408,146,
119,745,197,782,538,190,104,055,159,065,517,608,535,412,643,891,556,189,156,
572,832,570,646,962,260,116,800,371,967,898,994,338,056,360,619,552,741,562,
154,367,673,685,750,061,064,575,150,103,457,225,848,213,149,860,365,082,171,
787,368,712,120,397,943,212,580,746,035,743,387,824,316,098,479,341,395,933,
660,837,843,261,876,233,629,277,199,131,701,517,008,065,390,035,257,771,195,
814,927,770,805,241,168,261,686,472,029,195,916,382,264,533,481,762,239,607,
507,070,728,443,358,940,405,797,511,027,874,112,159,146,506,532,476,349,080,
469,778,995,152,880,909,330,076,420,461,988,908,779,017,975,270,416,145,289,
484,695,704,079,134,656,773,199,760,148,573,913,618,292,582,541,337,300,654,
691,153,356,465,948,858,986,688,181,513,232,377,170,885,886,669,167,706,196,
956,856,524,647,417,062,382,043,974,988,314,164,431,190,417,325,186,544,103,
254,636,632,869,226,324,406,717,877,493,520,320,853,177,060,236,483,633,075,
147,598,688,763,693,706,341,553,295,847,263,046,688,228,566,412,074,928,546,
545,544,180,128,865,596,071,967,101,691,042,641,046,868,117,858,879,429,922,
474,176,394,209,183,488,104,103,857,924,690,565,410,728,372,734,820,244,554,
938,208,484,166,482,252,749,948,141,418,377,447,238,081,238,553,602,102,984,
578,705,078,391,169,294,762,499,421,421,526,278,118,573,214,305,450,596,944,
161,941,784,840,040,951,814,691,796,721,629,400,572,681,599,978,661,390,885,
632,934,100,587,058,018,908,642,219,225,138,280,728,707,107,763,112,456,800,
410,963,144,230,519,317,048,511,940,962,566,699,429,048,820,362,023,546,561,
046,248,136,189,904,341,235,650,081,342,295,905,195,104,114,201,412,262,005,
532,463,707,144,564,140,281,489,557,531,377,959,275,490,885,917,714,073,710,
667,242,718,787,374,156,518,140,152,535,614,613,467,723,286,751,820,411,526,
989,717,697,591,084,218,543,459,965,864,711,649,002,437,348,913,680,851,330,
425,666,259,618,019,079,120,681,101,495,812,730,711,085,438,498,348,053,136,
096,620,446,362,967,385,432,256,347,993,520,878,095,909,640,445,318,191,518,
897,759,820,294,803,813,779,715,477,274,921,331,162,441,016,454,854,029,566,
752,884,179,196,798,097,217,648,411,830,079,396,447,888,347,781,136,667,776,
835,826,196,889,018,743,550,974,702,741,866,430,975,382,624,999,689,748,767,
735,431,091,314,744,593,347,678,081,284,824,955,714,579,402,604,232,438,663,
439,625,904,904,176,395,645,217,873,936,440,946,885,242,406,363,400,462,672,
883,112,999,070,504,870,406,174,638,356,227,161,556,282,815,885,963,812,074,
668,836,074,844,141,052,492,814,173,627,719,577,045,498,768,735,378,795,757,
633,970,923,857,399,201,888,891,884,740,895,407,177,126,258,196,962,914,173,
187,591,896,786,760,507,514,848,041,391,303,418,296,053,111,341,766,121,841,
877,363,372,469,711,728,071,231,766,098,209,880,283,289,616,382,604,459,650,
959,167,079,330,069,368,206,608,393,276,878,989,365,527,069,652,206,692,385,
850,403,227,255,310,568,801,823,892,473,893,252,250,067,040,722,821,770,738,
414,365,617,045,929,997,311,561,931,214,713,297,845,796,004,233,878,838,841,
872,757,482,818,661,898,198,810,820,224,228,537,317,381,126,273,331,281,170,
906,783,859,372,444,645,298,699,378,868,149,539,487,962,458,751,516,993,692,
644,606,905,869,492,803,095,052,666,465,044,888,890,590,799,218,010,001,271,
151,806,361,304,192,773,175,361,424,589,477,859,149,878,394,341,417,240,999,
074,708,881,087,904,074,646,030,123,025,655,421,038,857,566,978,790,300,142,
472,560,783,997,630,464,716,179,083,366,230,225,448,274,057,206,821,231,772,
865,456,082,474,242,731,865,975,626,433,097,683,740,598,974,250,307,136,391,
431,022,659,826,462,167,853,660,075,085,466,631,964,881,227,051,326,592,699,
416,103,395,124,673,649,208,097,806,176,704,120,161,298,360,395,208,646,114,
817,096,967,886,671,725,077,331,336,477,222,893,555,107,886,676,978,647,832,
482,914,224,416,307,642,078,200,360,592,972,148,129,722,245,882,839,877,902,
668,219,582,164,424,889,695,866,485,431,214,660,572,934,833,711,375,793,406,
866,687,831,853,744,275,415,157,685,869,531,224,836,876,733,625,749,773,727,
163,376,244,763,686,674,685,457,192,738,156,332,281,724,302,845,625,187,555,
028,963,146,373,446,183,643,046,964,850,199,323,301,005,687,365,991,692,106,
082,256,678,366,862,696,167,634,063,884,877,756,075,471,377,709,442,271,887,
132,744,180,117,248,192,939,964,751,582,741,788,927,032,761,090,039,778,620,
928,889,646,823,265,774,336,779,924,269,961,755,848,302,018,334,465,402,417,
593,029,507,787,646,154,076,997,686,012,126,356,210,495,262,451,504,035,766,
472,529,298,045,389,026,662,397,794,027,373,237,622,742,694,724,613,645,296,
338,141,653,113,516,168,732,648,948,563,058,471,171,617,450,205,603,052,135,
408,476,223,460,476,439,082,396,069,532,621,038,362,640,787,982,026,151,653,
052,511,731,510,700,457,902,690,013,409,847,403,447,429,792,951,857,899,027,
847,596,335,724,460,266,124,026,811,419,613,000,858,751,981,275,600,672,445,
898,154,333,064,175,192,501,545,129,669,914,490,892,339,655,977,151,990,620,
720,155,957,134,435,553,872,346,716,019,990,129,179,464,184,180,126,511,114,
893,840,286,014,166,071,063,046,585,324,426,089,103,266,886,318,215,216,989,
115,064,841,560,499,038,861,173,454,969,323,827,351,812,723,748,563,599,902,
619,462,784,875,917,649,030,984,095,717,295,953,433,315,215,681,281,208,306,
153,992,831,414,266,755,893,864,077,363,952,647,802,718,095,131,174,290,143,
725,745,966,340,731,167,160,720,385,908,315,813,848,908,739,458,285,266,685,
055,503,405,803,341,571,897,638,183,472,896,049,768,166,729,297,241,670,332,
365,359,073,810,798,739,334,098,045,075,506,609,652,695,515,998,555,293,672,
259,169,098,993,720,226,624,643,207,196,242,444,677,994,162,720,254,114,916,
255,875,527,340,785,822,066,783,394,392,266,567,312,761,294,457,615,406,871,
444,761,329,667,172,518,466,314,699,600,995,712,485,123,505,260,925,716,279,
863,588,455,795,497,470,058,947,146,433,496,463,709,015,158,403,859,462,556,
771,244,531,970,800,346,087,676,590,031,592,132,546,685,051,943,734,257,951,
732,318,435,932,386,356,683,042,420,232,338,466,377,640,067,285,051,903,707,
316,172,377,811,287,904,613,360,074,759,544,341,875,178,566,651,845,556,367,
127,671,960,076,368,706,768,918,583,477,822,890,337,942,196,861,280,985,240,
939,419,404,141,669,647,968,504,050,125,705,085,836,798,499,198,641,158,248,
383,138,675,529,031,165,167,262,626,808,663,688,199,019,638,522,424,771,346,
073,427,537,257,275,792,873,043,958,898,448,719,793,238,910,683,392,899,705,
472,277,321,938,562,687,001,235,179,947,507,317,210,944,832,695,971,071,850,
995,317,170,642,204,364,064,942,865,415,512,301,273,759,778,523,860,334,581,
148,578,005,578,180,830,310,892,822,947,319,980,052,641,477,942,600,919,055,
546,418,696,928,584,874,455,012,379,748,777,703,054,785,824,496,950,135,501,
044,125,148,087,684,623,146,006,715,390,488,674,600,583,328,571,259,465,319,
675,492,179,435,614,867,060,728,048,490,347,114,529,185,595,478,433,870,405,
119,989,182,819,037,043,999,997,280,559,267,157,811,084,199,523,722,360,702,
618,747,566,870,525,496,996,204,284,901,692,304,570,899,349,649,606,363,873,
967,745,474,553,888,804,199,524,801,218,909,666,419,109,449,021,183,541,657,
187,740,526,082,998,465,612,439,369,840,178,427,078,407,632,821,311,486,714,
583,628,534,592,887,197,175,932,276,249,484,262,598,206,603,191,784,118,900,
763,536,063,774,277,754,981,009,577,076,065,629,703,867,707,888,419,214,404,
957,428,286,878,831,094,620,226,428,140,920,613,676,911,645,211,415,782,987,
596,623,326,850,399,995,722,450,636,868,284,492,776,417,198,216,425,207,267,
405,495,088,114,556,918,694,357,971,488,757,776,802,941,238,582,084,166,607,
279,026,664,289,573,817,716,641,855,561,912,937,926,159,944,158,531,288,017,
300,631,811,197,493,377,429,382,508,805,286,424,722,185,719,034,806,716,745,
917,780,384,397,577,218,880,527,133,024,504,346,272,685,475,569,071,619,783,
839,347,704,955,695,876,611,165,024,450,131,557,390,530,722,405,258,391,083,
175,981,340,156,647,903,611,007,617,667,018,448,045,254,812,684,440,910,205,
071,883,497,884,228,067,935,391,516,962,407,093,301,955,671,419,317,166,592,
472,403,139,335,661,387,943,839,615,372,412,778,590,665,255,529,774,188,799,
016,125,724,864,467,262,049,250,517,533,882,731,996,514,898,475,363,678,118,
290,026,307,544,641,034,524,848,769,562,448,668,294,438,889,609,960,186,788,
205,164,093,288,067,635,108,966,475,493,560,111,310,886,429,432,815,197,450,
702,270,520,279,446,606,224,853,619,875,742,347,619,455,960,065,840,447,814,
508,093,407,446,111,831,800,682,710,935,556,964,296,005,981,486,726,821,231,
623,905,491,174,447,024,235,670,888,907,408,226,382,120,733,153,889,626,172,
979,693,919,626,383,661,365,201,819,766,046,159,063,301,092,362,051,514,082,
792,455,363,285,450,220,880,628,514,405,992,652,554,685,462,200,682,194,418,
779,015,972,227,934,892,055,388,641,560,248,635,464,849,217,321,594,647,987,
897,272,383,088,659,584,235,107,451,701,359,667,630,505,624,822,130,139,350,
921,231,376,327,017,404,985,911,383,757,976,540,246,358,780,570,122,234,571,
251,236,021,284,527,635,550,661,919,840,659,851,728,435,964,265,717,959,236,
136,301,148,081,911,565,646,225,422,731,198,949,947,303,221,751,875,241,953,
605,827,748,594,165,301,118,198,486,212,377,986,708,136,961,908,488,291,973,
931,019,988,830,290,042,912,157,313,636,418,192,608,055,957,182,053,585,507,
252,359,439,005,760,884,176,915,045,801,811,532,816,402,170,179,369,943,527,
052,422,614,911,223,896,390,985,569,613,983,567,368,280,029,894,244,745,085,
501,414,353,230,428,621,656,878,737,208,761,393,575,268,650,215,552,956,120,
164,172,312,385,474,118,537,883,549,659,789,248,088,428,152,643,327,073,694,
773,811,917,541,131,677,920,350,530,692,919,540,615,068,343,505,379,723,539,
464,995,943,397,578,689,278,397,576,339,481,207,803,750,922,525,228,021,027,
454,815,359,150,920,338,341,072,139,616,413,246,999,450,789,633,887,286,763,
412,303,947,188,738,564,490,379,354,810,553,638,241,708,535,636,044,084,951,
403,701,863,073,316,734,472,295,642,590,322,512,697,485,302,052,056,073,066,
331,472,375,193,951,787,644,107,478,866,156,073,173,910,347,400,139,044,729,
417,527,190,872,744,072,202,545,052,586,132,534,485,277,673,646,296,052,212,
631,274,601,119,751,538,552,559,887,150,329,057,798,900,940,397,538,521,451,
548,004,247,389,318,307,438,914,478,815,928,514,171,512,734,088,986,155,381,
840,789,614,961,735,206,007,166,678,450,725,363,546,400,804,504,145,676,302,
021,102,867,390,321,172,616,063,449,949,944,682,702,515,599,614,978,858,650,
688,279,693,658,594,094,587,558,099,674,302,284,953,020,021,606,564,810,095,
479,538,549,611,793,496,344,874,553,271,393,689,389,442,781,020,691,547,739,
067,903,048,033,593,386,250,232,110,783,110,103,874,465,686,248,657,357,702,
854,012,814,227,455,422,711,369,581,358,511,033,748,706,767,874,171,090,485,
761,695,484,912,309,105,393,520,040,277,009,195,392,536,857,912,281,979,778,
245,698,302,019,058,041,871,781,555,098,389,419,854,109,261,774,013,071,136,
748,946,619,337,525,695,587,630,129,337,401,758,651,991,848,904,630,688,657,
603,580,920,395,692,822,470,306,834,096,240,848,475,781,655,637,615,901,759,
597,222,415,655,080,369,591,686,469,135,648,387,323,393,800,852,360,191,420,
811,843,463,314,913,681,059,376,330,277,962,387,654,592,890,775,343,926,759,
779,777,392,592,138,685,707,226,506,379,473,819,835,536,630,972,390,460,031,
418,232,001,580,893,509,872,524,508,878,264,876,603,498,615,953,794,990,292,
523,446,811,994,803,566,013,901,485,057,541,545,007,090,618,836,652,896,162,
350,058,279,655,491,781,330,578,622,017,800,100,823,050,379,370,858,251,101,
449,536,243,167,618,620,710,286,205,346,934,969,176,780,663,496,916,335,846,
725,270,378,594,472,417,583,455,832,756,841,432,791,970,807,120,290,066,743,
341,043,698,059,522,807,067,668,057,396,443,687,884,514,298,425,231,279,490,
054,895,888,115,556,308,221,145,741,318,852,694,597,212,729,571,390,504,284,
311,722,463,276,901,736,173,055,497,100,825,444,726,151,264,136,056,636,933,
442,948,923,258,630,322,784,781,201,010,854,635,360,767,636,539,388,232,362,
907,639,281,204,586,529,310,635,311,403,174,715,487,274,617,328,137,063,078,
600,548,771,053,341,009,743,246,934,196,472,588,744,435,642,132,462,873,225,
268,409,721,835,361,492,267,018,016,576,293,214,740,621,971,890,270,963,829,
239,116,040,015,362,284,808,282,376,861,295,161,287,162,271,042,987,098,139,
991,389,384,005,143,864,088,360,292,634,877,373,492,853,056,354,822,153,367,
546,109,447,163,771,302,620,910,512,561,322,553,297,402,749,115,172,088,620,
885,045,357,794,496,016,166,006,940,171,516,907,610,674,905,228,126,903,000,
145,594,439,195,780,917,505,240,594,897,857,380,971,415,018,892,430,932,928,
736,474,941,223,063,234,750,445,780,628,158,627,891,923,401,087,617,165,408,
830,244,197,178,858,813,582,876,404,536,750,283,753,043,026,265,046,274,143,
303,413,492,795,004,414,522,402,304,603,443,358,123,685,981,904,862,258,806,
276,009,649,483,790,813,099,151,662,244,060,323,253,751,471,690,975,596,901,
776,203,408,850,123,262,261,734,713,783,314,238,331,293,779,619,078,017,733,
375,770,998,029,918,134,152,670,546,172,951,319,008,362,532,100,767,546,544,
494,206,417,125,437,524,194,573,860,916,882,968,354,375,868,255,663,454,881,
921,755,832,376,868,832,877,467,247,169,009,821,333,662,117,584,164,372,747,
384,292,209,092,137,603,354,682,585,423,790,185,272,126,848,423,141,231,847,
093,703,639,191,270,295,097,957,048,265,354,942,151,512,872,016,716,974,507,
445,414,056,895,493,078,972,939,788,479,901,019,589,877,826,425,734,435,657,
891,961,960,582,923,548,939,501,571,814,501,590,122,043,203,596,456,070,010,
700,618,057,673,698,037,623,952,812,177,564,904,081,655,774,310,175,774,812,
051,373,752,066,425,410,483,828,239,074,228,630,431,822,792,832,339,877,127,
096,629,372,341,131,644,976,120,262,675,466,211,754,545,638,129,401,822,730,
434,408,101,435,364,026,477,335,178,466,941,780,541,307,103,822,814,384,041,
395,725,962,271,212,969,752,072,574,260,580,410,071,833,497,357,199,912,820,
843,416,269,893,860,602,895,763,377,184,895,009,451,788,185,997,314,483,640,
696,477,428,037,127,236,926,984,509,594,607,448,472,971,373,644,092,651,145,
856,183,305,173,327,429,987,211,257,294,483,069,255,019,926,869,186,415,177,
893,262,473,721,996,234,769,126,719,613,272,520,836,258,482,536,411,741,478,
742,281,664,081,622,817,560,857,376,280,502,669,972,775,121,377,967,834,740,
918,254,278,021,427,027,432,976,116,887,694,336,919,913,718,580,347,813,088,
902,433,230,183,038,798,849,889,963,237,068,240,140,821,230,738,448,590,966,
824,600,959,021,871,496,242,241,634,418,699,994,553,608,274,343,164,066,565,
123,701,159,515,778,073,248,608,010,332,063,716,052,986,273,026,700,345,074,
689,214,327,903,947,504,687,516,547,031,490,923,350,896,682,315,206,370,386,
199,149,989,319,038,047,326,799,774,377,689,495,288,167,045,051,107,689,135,
566,559,194,207,986,076,037,789,863,854,249,047,186,744,630,320,065,869,943,
832,694,780,973,771,919,218,165,209,803,583,264,737,495,295,141,467,400,300,
152,541,374,724,865,854,199,684,903,372,862,044,477,525,204,216,157,393,279,
165,913,397,667,200,645,546,452,613,216,783,383,200,517,871,928,611,431,211,
474,170,405,676,086,484,519,238,702,466,004,570,449,044,526,704,312,888,892,
995,806,935,041,444,903,856,194,924,785,633,756,185,217,234,759,753,895,912,
565,458,804,655,194,787,624,258,495,404,356,216,765,749,338,454,399,044,263,
097,495,290,721,740,981,797,266,006,563,290,600,320,772,108,845,316,904,912,
822,332,293,699,445,844,695,350,923,272,338,410,516,594,304,681,326,416,063,
521,707,211,993,287,242,376,296,423,580,547,644,419,518,934,120,357,135,494,
487,380,446,588,750,518,171,131,150,970,045,664,778,134,007,893,444,804,416,
892,292,847,607,514,843,964,055,149,013,504,274,257,276,222,179,851,340,337,
114,978,068,025,042,838,093,056,904,585,993,973,757,366,590,013,003,587,630,
863,687,451,892,787,795,017,570,986,694,737,130,802,415,927,492,464,329,073,
653,950,678,378,506,024,076,081,061,907,610,919,947,585,045,456,245,099,073,
669,123,378,916,927,955,681,111,148,834,622,806,373,056,513,806,500,744,832,
067,805,318,246,872,653,438,431,210,191,966,875,804,659,215,940,185,616,603,
070,213,541,985,170,165,178,039,699,449,100,360,746,200,920,687,842,235,977,
344,174,961,887,200,971,280,407,064,147,015,717,704,376,850,579,510,160,542,
122,090,904,513,463,779,541,662,779,515,303,395,964,593,503,501,004,790,765,
626,113,666,235,532,602,090,921,517,106,744,821,560,070,913,466,627,043,848,
079,642,825,486,444,596,254,691,377,958,758,608,746,977,764,669,995,950,500,
532,054,615,667,481,129,387,403,704,810,647,138,972,754,398,027,979,042,506,
557,097,104,161,863,481,067,143,581,508,933,741,988,576,758,112,779,689,460,
896,601,227,101,089,365,456,281,046,817,037,592,114,795,992,434,028,376,297,
612,211,645,479,610,612,270,774,539,068,079,919,213,844,648,529,838,546,320,
226,367,991,657,921,371,723,117,193,703,750,669,696,390,789,983,605,769,336,
891,570,722,859,088,070,502,192,823,249,643,798,332,778,241,569,931,277,939,
527,928,112,681,841,462,288,178,322,938,139,893,201,075,628,126,822,838,471,
323,553,716,820,356,790,778,437,170,279,710,337,592,901,891,212,638,301,287,
581,681,564,524,134,046,873,549,734,881,619,250,638,418,995,943,856,680,966,
144,313,977,440,422,417,678,244,285,286,562,849,379,790,534,948,445,623,465,
084,551,036,705,254,383,768,520,486,383,098,689,379,129,184,914,440,905,207,
834,282,493,162,165,681,934,007,252,306,823,358,338,946,014,929,725,478,165,
621,604,043,277,683,266,536,449,432,440,003,313,646,441,459,286,063,303,959,
516,194,021,016,241,363,033,878,434,034,080,403,424,311,470,844,248,242,228,
548,121,038,328,979,549,360,596,587,129,144,768,102,574,086,413,043,727,861,
830,644,171,597,272,625,264,637,371,004,922,125,429,580,461,963,685,757,267,
253,642,746,160,934,324,558,562,822,824,019,042,385,192,110,724,241,092,694,
205,241,735,147,014,010,787,771,908,080,880,033,059,878,244,654,638,771,413,
958,470,193,622,973,488,141,667,816,918,041,658,864,882,026,298,912,825,407,
117,257,707,633,563,030,036,709,415,407,394,785,114,235,677,277,142,776,949,
967,687,483,988,805,453,598,000,099,068,522,642,777,096,013,127,522,667,669,
174,812,271,956,260,694,883,482,221,873,962,883,167,116,242,327,745,537,694,
187,730,969,167,983,386,591,587,466,477,060,071,494,682,929,879,131,723,824,
369,183,202,673,230,382,067,755,362,806,676,995,256,410,337,490,730,307,891,
456,603,880,696,935,191,693,620,433,371,559,115,017,534,231,602,859,322,245,
607,118,409,950,564,075,726,432,688,024,447,024,937,464,063,478,774,037,958,
257,296,838,160,178,196,294,157,941,615,280,771,996,650,297,504,311,702,512,
905,945,147,272,174,911,555,857,030,431,931,678,632,264,234,541,100,012,548,
791,220,981,235,598,603,658,881,600,802,884,468,360,212,244,166,658,260,599,
847,002,530,699,282,379,614,498,067,607,758,856,759,686,082,779,128,473,765,
776,672,554,859,191,664,215,205,883,152,851,207,473,717,059,266,409,817,606,
744,529,095,601,992,048,990,066,099,658,664,270,915,420,755,813,374,476,940,
680,769,650,022,760,459,807,245,868,378,275,669,484,227,361,015,259,833,902,
642,231,481,026,380,399,486,074,741,782,709,437,504,793,314,217,822,103,700,
993,694,811,589,326,259,131,409,318,779,059,021,192,467,328,748,014,320,527,
782,698,342,109,413,400,143,570,330,926,894,246,603,578,935,003,424,550,616,
294,980,555,678,139,561,252,636,426,171,160,010,699,607,465,796,283,250,769,
932,532,395,465,474,435,971,236,808,947,373,827,310,839,616,980,383,280,320,
005,358,323,383,687,861,298,551,001,629,526,153,120,433,831,545,874,280,429,
540,796,983,880,692,887,248,674,521,765,443,955,577,632,931,323,587,055,315,
669,152,899,578,469,783,420,305,279,816,013,612,594,356,958,336,834,665,973,
354,405,355,002,746,559,194,106,458,443,985,229,280,151,723,284,091,271,216,
137,496,468,908,617,681,470,398,781,104,035,862,469,873,381,125,035,781,704,
400,039,324,920,107,112,210,914,786,870,257,493,517,319,236,287,815,937,501,
944,881,204,160,019,834,100,921,251,699,240,309,745,806,911,611,172,225,023,
771,036,581,659,982,408,921,870,699,432,786,873,407,350,384,342,312,976,700,
588,099,117,232,730,289,189,330,588,098,021,872,977,230,391,529,939,289,117,
466,257,114,623,764,098,727,899,226,048,823,651,087,837,374,955,609,921,269,
518,208,925,575,711,661,532,701,606,453,345,915,910,570,544,829,914,537,181,
281,126,009,367,936,101,456,224,424,324,804,911,023,457,301,160,060,508,859,
054,766,441,550,145,941,107,949,938,898,000,185,067,218,981,764,378,754,724,
510,087,182,959,725,223,988,199,827,162,178,028,080,478,312,841,361,562,511,
562,969,973,080,265,786,960,048,616,356,287,518,272,336,587,019,802,267,738,
478,504,539,945,723,033,619,777,656,332,269,001,301,407,428,745,499,232,305,
911,263,380,697,558,731,260,787,952,098,804,386,584,274,076,623,587,840,980,
018,147,775,342,735,880,352,374,401,970,734,088,835,274,780,379,398,570,572,
035,641,575,162,727,891,079,813,257,312,250,415,900,990,892,859,342,515,277,
143,942,781,199,161,817,855,746,696,348,566,920,654,153,933,779,992,314,155,
395,445,629,536,665,724,339,956,907,123,606,317,720,536,607,402,731,712,986,
134,949,326,974,641,347,199,691,103,950,604,665,804,657,117,545,731,279,383,
620,598,474,826,376,997,635,400,478,941,810,971,322,022,722,542,876,119,514,
625,018,360,698,866,331,812,995,643,115,274,131,834,059,680,440,913,897,859,
372,495,544,079,852,701,087,461,603,376,639,293,523,955,753,107,601,447,874,
963,795,613,824,938,226,659,422,861,079,944,002,265,373,207,805,988,495,839,
705,504,652,351,864,400,380,183,919,775,737,680,131,338,445,175,628,213,382,
506,855,606,642,334,477,946,626,726,303,225,825,788,968,700,669,402,363,390,
496,053,349,898,500,980,150,381,293,476,074,687,454,589,269,227,662,618,174,
635,600,417,878,125,560,243,390,769,184,152,682,588,097,762,219,852,489,921,
201,432,147,809,264,479,260,978,491,897,312,706,646,997,958,675,716,675,518,
501,769,592,171,220,041,468,809,796,579,816,332,000,279,106,282,452,316,270,
294,041,082,330,035,598,471,280,974,247,499,865,104,389,585,485,596,747,249,
934,449,498,842,115,107,734,884,245,114,027,417,501,236,848,609,745,303,948,
667,653,526,939,092,618,221,139,831,848,867,398,265,777,418,029,559,277,198,
765,543,888,654,670,066,046,038,764,323,057,955,690,649,614,167,198,752,987,
546,763,166,765,274,150,964,305,626,366,278,892,776,261,278,893,892,458,233,
699,251,710,876,438,710,877,252,226,465,918,768,224,506,530,808,931,207,005,
245,248,373,655,568,970,269,175,058,722,327,658,375,111,315,290,621,893,166,
413,654,029,521,881,206,703,724,294,107,380,195,846,985,777,685,147,403,522,
016,732,350,941,358,967,134,753,776,976,680,565,063,032,241,142,756,957,893,
081,554,949,115,108,652,218,513,258,111,805,900,913,791,229,411,798,371,815,
969,158,053,209,119,496,801,822,875,139,293,693,006,208,202,975,031,095,839,
653,239,067,393,849,887,643,512,557,595,800,348,741,139,859,867,043,627,210,
028,507,241,093,596,927,306,012,160,304,167,876,623,274,159,008,204,280,997,
482,605,458,174,855,401,096,022,084,672,377,270,772,481,034,623,074,097,952,
124,362,151,716,214,075,795,791,293,132,503,178,737,189,467,080,045,659,935,
600,124,221,268,038,438,937,282,407,553,260,401,476,124,806,514,074,581,555,
621,482,171,148,768,805,398,087,945,257,161,496,440,192,361,859,623,449,896,
486,804,848,336,546,761,338,012,425,088,551,479,419,623,189,723,589,353,732,
288,501,568,221,402,448,223,206,569,457,396,371,282,464,079,535,442,554,641,
277,958,529,124,759,040,265,219,744,071,250,917,113,355,081,924,600,192,299,
919,381,663,192,818,824,338,500,313,593,588,163,400,731,372,968,899,778,168,
573,030,589,147,276,779,805,774,182,278,898,135,788,658,810,251,555,995,701,
485,427,297,080,254,061,194,731,475,278,806,670,806,549,678,986,160,835,858,
188,348,391,242,016,879,625,333,360,549,296,739,836,833,385,371,574,225,897,
743,350,886,237,562,322,552,025,213,163,673,979,254,050,731,736,729,540,952,
150,430,658,351,350,241,399,833,584,675,225,168,201,203,108,202,386,068,424,
469,486,460,881,525,748,044,234,896,748,850,089,485,464,227,507,715,859,152,
218,241,345,570,201,492,287,417,867,636,119,206,940,004,084,490,587,498,042,
859,636,398,621,069,637,838,159,941,366,371,728,447,900,739,549,617,259,815,
286,659,633,278,258,456,919,646,006,036,441,006,117,244,782,925,770,338,316,
737,385,577,312,942,184,012,853,011,448,086,241,390,753,657,761,500,381,205,
371,238,285,778,864,922,686,001,124,351,263,183,161,339,328,886,879,187,554,
432,638,158,499,436,053,796,191,205,136,049,522,080,686,086,903,802,842,333,
323,228,086,288,138,982,540,211,049,251,047,068,169,466,395,722,234,518,791,
982,435,732,574,041,539,179,128,446,488,604,409,684,196,566,922,611,458,230,
595,779,485,464,654,808,192,799,570,541,897,340,957,300,030,676,080,064,585,
632,671,821,104,778,511,503,080,438,264,708,798,043,437,469,181,363,575,098,
052,852,716,617,713,465,967,701,209,935,532,443,065,180,000,644,119,745,870,
382,270,860,212,971,056,073,770,296,845,267,040,619,684,557,138,897,786,394,
825,381,374,552,302,412,379,765,150,925,794,816,620,692,203,953,511,348,141,
259,859,675,477,036,552,239,828,015,557,386,805,252,347,010,905,874,315,958,
582,214,846,647,795,321,105,253,420,008,470,157,969,657,792,062,826,332,188,
191,874,451,364,861,771,675,936,630,480,144,044,491,765,333,972,687,142,995,
659,266,316,853,221,526,862,934,586,048,222,055,952,066,504,764,948,099,975,
392,172,984,533,000,231,800,203,406,494,144,937,685,122,895,701,328,693,363,
649,038,076,274,764,353,277,089,181,654,884,205,080,581,354,894,564,521,831,
902,936,428,966,529,966,851,900,927,869,759,345,832,279,640,148,294,413,185,
579,951,536,157,330,733,166,023,265,191,772,016,939,527,895,198,548,508,473,
227,835,554,116,335,688,716,312,103,113,955,224,610,260,387,983,568,614,819,
113,499,353,748,779,187,405,363,379,837,513,914,617,282,266,899,900,103,802,
508,468,649,139,756,126,465,820,595,789,477,722,655,668,268,430,426,131,894,
418,384,587,806,453,418,641,584,909,344,398,389,117,379,049,230,599,200,819,
696,210,148,528,960,712,269,795,568,470,059,938,520,322,643,283,512,587,943,
257,127,321,337,931,474,364,741,188,758,232,103,162,157,802,805,091,978,130,
488,621,899,087,467,561,625,057,376,439,964,424,585,174,874,847,381,836,017,
620,311,988,670,201,334,950,661,043,858,869,983,334,957,304,609,715,543,833,
722,844,423,701,515,288,627,333,939,331,243,490,301,190,190,329,802,328,821,
598,359,132,762,557,588,961,540,575,018,343,499,150,448,265,885,354,904,763,
325,887,178,873,405,106,606,679,628,629,122,096,509,264,703,678,546,904,257,
377,571,094,487,808,470,971,283,795,897,803,004,921,251,749,657,734,328,988,
008,581,938,576,985,476,070,364,094,070,656,395,866,112,051,680,080,722,120,
590,755,717,519,513,823,572,558,560,334,392,341,456,205,772,472,909,397,309,
806,509,372,645,196,032,762,155,908,515,470,008,956,436,693,377,241,911,303,
359,618,057,043,449,521,031,275,205,334,910,808,779,064,904,385,639,195,169,
911,727,473,895,672,351,327,735,751,222,756,760,933,281,168,794,605,967,569,
534,729,102,652,742,638,579,948,329,702,342,296,655,245,187,551,169,767,968,
095,937,307,357,222,716,854,881,087,598,750,083,897,077,924,608,805,974,531,
196,725,092,080,229,164,848,411,005,633,401,835,244,965,452,555,996,450,436,
486,769,734,892,643,432,287,773,933,195,595,338,253,610,750,326,513,753,593,
174,477,306,947,372,007,682,497,423,753,995,096,730,405,915,747,535,104,738,
180,681,323,171,014,931,084,051,820,100,920,695,813,908,182,616,542,169,081,
681,623,613,888,153,092,843,671,708,452,631,331,583,586,424,603,806,659,147,
024,085,414,977,884,566,355,732,033,990,410,944,337,668,181,973,093,170,295,
014,472,623,082,317,204,699,983,021,217,824,846,349,379,340,848,341,154,967,
267,013,750,207,594,652,873,159,688,910,835,278,957,549,855,595,858,805,437,
272,266,783,977,580,758,408,704,011,933,926,413,255,665,803,043,792,953,928,
932,198,962,890,422,201,252,013,628,225,959,024,541,606,143,638,697,155,669,
895,926,016,254,435,981,110,483,265,933,996,867,124,126,282,782,154,309,501,
550,567,800,027,511,137,662,901,148,905,786,619,050,477,837,506,163,033,305,
499,609,279,752,588,206,601,711,501,935,096,901,979,475,688,232,549,813,567,
145,992,977,998,742,391,433,491,215,224,299,812,194,442,221,441,561,990,395,
209,656,235,847,764,034,156,873,532,058,059,784,555,480,212,338,660,366,330,
869,170,032,123,138,701,686,293,825,739,867,473,035,406,339,812,836,931,655,
164,331,131,907,588,812,482,046,634,754,367,081,886,637,107,982,350,141,121,
499,228,745,611,163,372,965,277,263,023,885,554,547,281,939,327,392,506,450,
714,261,203,256,933,182,932,083,405,484,672,466,610,908,062,084,819,288,308,
211,746,398,618,897,755,189,360,806,091,777,950,688,939,389,617,063,510,599,
989,592,582,589,585,711,548,153,491,061,942,885,432,957,268,557,712,023,894,
235,143,152,117,394,470,386,736,082,867,113,922,842,145,006,298,747,733,907,
356,557,406,008,666,587,517,798,937,873,055,031,138,273,044,263,817,230,499,
705,520,756,467,570,374,194,495,772,365,010,508,460,909,501,426,613,411,537,
491,474,246,711,526,417,662,557,297,653,635,902,118,608,449,211,618,382,565,
199,108,331,167,294,537,517,477,176,901,282,724,723,657,538,803,931,923,745,
252,367,030,851,841,212,938,947,468,372,564,825,914,797,777,995,697,454,104,
256,258,435,206,104,093,450,934,097,116,343,797,239,740,170,210,405,406,460,
755,738,888,238,873,771,085,663,064,935,055,714,700,125,653,490,724,156,964,
093,072,799,780,116,120,632,411,574,737,049,014,009,136,124,595,305,800,275,
276,584,788,284,188,331,565,931,669,935,527,456,743,638,693,263,992,907,491,
200,066,449,399,515,909,674,010,730,500,194,666,341,771,507,452,805,781,883,
817,634,662,331,023,804,222,294,873,877,299,538,194,659,750,058,612,655,587,
847,821,972,024,397,159,086,106,062,782,926,604,174,454,561,990,791,530,321,
684,321,258,018,427,687,056,511,892,558,398,232,372,177,258,192,354,392,170,
694,728,343,503,881,125,944,745,236,650,484,623,670,512,710,609,069,158,575,
906,282,709,382,109,274,517,518,855,287,589,129,790,375,774,151,952,865,042,
152,486,115,751,066,887,660,453,135,413,735,904,747,988,590,580,518,280,105,
047,253,706,862,791,653,773,350,545,771,544,946,755,229,017,958,210,709,338,
420,414,253,381,126,180,980,502,250,129,705,716,077,121,812,889,714,086,261,
681,504,854,544,730,016,696,918,087,572,025,489,123,814,428,560,580,289,552,
431,792,148,395,335,866,913,634,568,024,995,156,364,566,551,900,558,104,307,
514,496,130,881,701,793,583,782,895,410,454,717,316,541,876,561,425,113,466,
763,823,954,030,833,610,936,537,449,722,698,667,077,027,014,723,207,165,450,
753,759,380,210,262,607,637,505,539,069,608,938,930,779,487,445,774,264,747,
195,173,969,004,884,051,318,392,569,800,839,901,884,942,171,566,723,185,049,
334,376,632,965,416,735,565,196,991,099,292,317,252,276,198,379,506,103,186,
193,176,576,469,516,298,742,555,456,408,809,570,467,469,742,097,048,106,645,
691,937,879,859,070,765,237,316,935,387,612,402,330,460,878,393,509,633,990,
755,878,521,197,454,705,407,598,651,973,316,787,676,234,668,186,865,528,607,
009,449,111,847,358,690,663,887,702,160,285,067,234,779,447,571,784,242,641,
722,065,375,718,420,682,522,972,461,598,918,169,557,759,484,504,771,691,875,
287,475,532,266,907,907,037,475,623,837,080,251,108,514,556,877,891,754,885,
053,505,580,863,645,438,604,802,597,212,325,840,403,999,631,085,321,427,581,
722,189,924,712,052,538,437,322,058,179,535,805,514,323,760,563,842,455,726,
602,147,271,887,785,908,906,087,650,430,425,486,391,825,883,503,707,069,283,
310,567,176,393,744,955,781,719,148,194,949,097,503,413,142,091,976,969,540,
229,940,105,590,346,288,099,087,721,257,976,855,222,311,563,714,262,357,711,
181,696,419,917,399,611,554,308,939,093,601,705,025,140,742,805,611,193,924,
117,661,094,377,122,818,890,410,214,630,444,252,035,797,977,747,226,094,299,
592,024,656,679,572,725,417,642,458,227,084,764,120,659,081,951,744,491,400,
541,841,681,115,663,080,317,896,815,466,663,604,072,451,151,756,248,740,683,
591,226,994,553,346,755,158,197,732,975,216,786,894,248,865,078,802,148,512,
155,655,071,238,096,910,530,853,518,779,822,131,840,814,092,293,447,158,297,
795,667,954,372,504,876,996,039,323,018,930,796,347,373,957,758,247,595,794,
091,332,139,500,293,418,042,956,086,910,804,053,137,136,852,434,773,995,233,
429,607,378,101,143,496,170,713,048,667,948,478,154,424,429,169,573,746,509,
319,606,478,225,716,160,571,485,218,436,098,004,564,924,857,693,519,483,168,
894,528,110,181,438,550,058,315,471,454,249,737,313,997,591,502,127,750,431,
027,234,952,183,323,657,784,209,749,722,142,222,479,427,066,609,340,225,384,
081,389,271,107,468,997,404,921,162,914,989,537,459,908,347,200,043,107,037,
381,379,604,636,561,308,307,604,545,300,780,133,823,011,714,637,531,528,909,
864,845,104,832,072,561,558,336,842,098,404,297,648,540,031,933,892,844,092,
943,064,282,477,924,996,586,620,942,390,248,560,409,308,558,810,534,612,394,
541,113,611,935,783,659,826,006,242,924,087,005,905,596,232,504,771,471,338,
465,038,712,239,093,725,478,394,191,380,817,495,734,129,769,818,122,829,721,
207,928,816,618,955,213,542,681,675,273,893,987,188,775,703,030,463,097,017,
088,857,431,348,229,650,549,975,968,211,551,915,082,407,056,546,871,674,715,
424,317,144,616,317,271,659,498,552,093,424,294,852,893,958,898,845,802,374,
982,681,630,960,566,185,588,094,301,506,150,955,311,560,822,333,385,262,749,
817,366,728,303,541,243,132,821,440,782,807,644,365,991,654,745,286,264,973,
781,323,286,253,702,930,607,936,360,372,934,194,081,440,430,149,424,799,849,
958,594,589,918,427,013,765,779,158,689,820,347,562,791,031,056,158,271,380,
122,589,213,028,278,806,799,303,608,120,876,103,485,135,581,535,609,498,787,
962,676,336,189,565,855,378,288,016,784,653,816,638,601,404,434,231,469,883,
528,509,787,243,114,772,672,086,552,161,155,598,003,704,553,600,134,614,278,
204,677,820,908,936,785,236,861,009,217,970,927,454,721,492,898,501,223,070,
494,954,871,206,196,131,242,428,202,913,436,866,507,793,475,402,664,234,477,
523,769,413,261,472,529,131,973,336,547,746,995,401,817,065,484,253,156,613,
477,601,303,742,122,100,219,215,096,854,159,359,977,612,755,407,439,456,273,
636,911,055,563,565,751,036,953,755,763,597,514,887,743,916,487,324,235,829,
566,683,240,281,457,731,083,094,983,919,332,962,104,807,362,433,496,084,634,
497,937,215,180,035,837,436,920,096,248,150,471,228,368,500,098,139,116,502,
630,642,255,750,325,290,758,371,224,054,101,390,294,040,002,598,994,293,085,
411,657,877,068,289,626,273,299,013,665,868,635,024,165,472,883,125,489,346,
761,205,274,097,169,494,283,111,892,424,515,126,963,299,740,043,473,862,692,
353,713,132,864,574,262,050,943,406,181,350,628,489,002,823,844,406,930,073,
592,448,027,438,885,225,315,066,301,156,191,985,423,344,218,876,004,781,260,
803,747,726,442,357,108,995,966,035,711,830,558,575,880,877,633,100,842,999,
907,513,890,778,663,895,792,956,655,020,416,231,030,836,594,176,219,848,158,
311,491,827,457,913,963,098,128,668,464,768,037,197,631,432,101,350,780,150,
489,758,613,750,523,073,239,241,332,517,341,206,687,788,229,821,790,810,536,
796,475,994,626,557,395,139,037,624,456,448,054,506,998,846,354,063,142,056,
291,337,347,102,108,866,640,625,091,340,644,154,054,670,062,068,173,430,385,
459,357,719,333,237,416,246,088,371,772,301,231,010,448,393,726,786,488,409,
369,223,530,234,712,899,102,105,166,030,437,871,215,904,838,163,115,838,610,
914,510,020,480,340,818,833,713,557,645,834,441,814,088,616,237,071,838,705,
495,975,348,293,461,722,626,421,364,824,301,270,545,547,400,198,639,445,800,
017,458,711,314,594,478,125,842,003,060,024,630,572,393,656,315,983,406,158,
227,966,288,741,220,972,872,287,964,812,759,524,915,215,744,640,863,347,523,
053,066,428,730,891,456,655,242,727,897,445,181,647,014,988,278,256,694,675,
131,403,995,496,260,579,199,464,172,016,341,943,155,386,410,793,187,369,828,
807,639,933,064,752,750,990,758,275,789,198,273,432,617,633,981,710,911,045,
360,869,622,384,582,650,278,546,192,669,611,857,476,608,978,957,662,516,683,
965,816,305,639,465,144,356,459,699,070,827,706,237,143,776,610,414,664,366,
548,663,365,511,039,794,885,670,167,859,133,599,438,799,602,530,780,054,659,
215,517,075,291,161,099,087,977,721,084,868,158,644,640,300,216,009,966,637,
709,860,675,076,269,947,475,297,767,657,003,713,484,845,592,639,774,013,542,
098,335,062,320,041,073,120,155,007,388,121,184,775,456,486,516,620,551,955,
429,114,415,693,923,634,418,741,836,403,043,384,979,967,331,210,973,200,503,
184,974,278,799,534,656,621,647,948,932,837,427,474,599,123,648,469,194,643,
396,892,049,627,834,536,384,516,088,402,953,753,285,265,936,172,916,909,460,
182,898,345,515,283,900,161,338,426,244,452,793,537,147,857,123,290,094,026,
971,776,355,817,590,461,091,739,965,114,040,192,785,203,297,393,867,762,394,
371,106,298,961,139,628,133,058,955,945,853,850,180,318,428,672,499,742,459,
035,317,147,727,230,063,788,942,042,490,370,666,612,630,621,195,263,193,278,
711,793,732,012,579,516,167,614,547,946,190,484,593,338,559,984,302,134,859,
559,287,813,796,300,769,034,972,006,747,771,524,687,125,254,644,547,297,018,
061,875,536,284,659,845,473,021,244,229,275,163,791,961,436,452,525,299,933,
023,444,028,212,393,147,147,183,262,726,623,172,619,228,176,351,714,260,335,
935,298,984,712,315,147,053,381,819,444,605,436,614,557,990,766,444,649,463,
187,380,913,956,578,737,474,419,389,718,478,194,050,577,466,215,344,327,215,
153,423,010,323,493,223,733,895,409,268,644,875,892,085,782,241,450,247,839,
188,168,202,455,255,799,822,585,488,033,201,823,903,665,941,531,514,410,676,
530,911,163,331,940,003,748,263,648,080,204,078,134,845,503,612,852,536,466,
562,073,966,495,221,968,001,735,168,199,467,820,793,004,847,345,879,401,735,
868,933,074,156,819,133,911,189,427,797,263,242,835,680,689,816,269,402,444,
124,114,023,807,518,738,417,814,212,806,580,428,585,432,304,239,363,510,122,
729,301,060,809,469,157,031,456,037,318,195,491,119,425,641,543,949,052,081,
744,770,513,892,966,734,727,321,541,225,430,690,997,266,896,997,820,962,549,
666,109,581,293,176,454,748,478,582,253,120,790,991,105,843,177,122,674,898,
847,551,655,319,119,592,355,595,174,324,753,153,178,357,562,568,597,326,461,
142,898,254,383,053,721,996,902,609,871,288,843,752,477,608,241,770,067,166,
907,425,106,639,400,010,860,331,155,065,050,722,030,801,126,863,440,484,047,
547,729,240,018,092,425,424,844,899,155,354,263,014,878,576,102,663,712,706,
048,676,255,929,478,744,603,175,067,355,112,512,029,197,334,843,997,666,996,
495,391,993,933,591,291,393,201,216,574,443,498,230,250,478,703,689,366,017,
839,127,874,537,140,090,658,570,414,880,959,526,331,687,096,256,458,092,249,
337,143,663,834,978,453,382,587,225,998,088,058,753,653,771,861,846,747,689,
472,962,111,462,533,940,177,196,223,729,628,968,432,869,899,630,541,547,789,
386,118,905,960,728,406,905,959,828,062,267,119,372,753,723,730,455,761,962,
869,502,210,180,778,579,376,086,274,712,893,800,145,400,249,912,554,872,112,
665,570,886,212,061,394,979,361,277,134,190,234,704,587,233,255,038,491,936,
628,982,809,850,175,980,135,470,838,920,591,462,064,016,160,922,205,334,111,
147,014,675,066,828,153,295,516,812,009,160,254,765,827,229,143,523,441,038,
415,190,316,511,120,287,667,941,610,545,667,800,891,922,337,652,123,261,158,
670,293,879,446,182,106,176,769,182,235,338,584,152,544,540,621,188,613,796,
060,437,764,843,552,165,493,955,766,453,723,097,196,523,058,392,751,310,704,
417,288,470,775,961,473,966,052,210,198,561,215,189,699,880,967,351,423,782,
747,663,464,118,729,832,025,028,872,931,787,452,553,389,827,641,044,711,367,
376,895,208,647,699,171,024,473,901,408,117,022,559,824,422,584,499,468,292,
461,255,362,846,047,023,924,576,870,273,253,472,081,136,566,501,434,269,902,
572,111,811,323,014,146,718,416,527,751,336,389,206,834,298,356,907,673,945,
854,246,395,414,151,963,295,304,219,253,376,962,398,188,235,455,774,484,103,
444,992,374,129,383,894,768,471,636,319,942,363,495,113,872,645,152,266,180,
269,788,847,681,579,326,989,343,603,274,742,187,085,190,866,441,485,908,652,
918,343,026,791,638,283,745,369,910,300,461,810,136,463,919,415,979,280,614,
479,362,802,636,364,867,460,862,850,710,787,985,961,005,964,718,263,341,405,
948,079,143,566,620,564,562,356,443,458,772,182,222,084,634,203,627,588,506,
098,190,315,890,845,669,126,341,189,474,356,988,502,798,479,091,419,588,065,
490,146,949,691,093,582,880,837,394,335,431,202,864,974,836,415,332,377,791,
579,593,596,277,477,907,709,835,507,924,467,342,481,411,229,845,115,349,278,
886,565,504,807,837,415,591,702,952,464,007,965,338,287,046,916,733,979,270,
200,460,356,528,131,218,071,883,389,659,064,519,045,446,114,929,840,264,211,
271,877,616,847,293,351,504,367,351,078,074,198,682,234,561,877,481,862,877,
678,179,945,680,686,357,551,122,940,827,553,032,493,984,968,614,674,108,174,
423,555,473,221,124,121,672,590,964,682,375,634,662,608,660,613,666,864,888,
499,522,472,217,257,728,799,106,081,813,074,217,665,501,008,089,217,269,501,
090,639,594,674,044,367,520,826,098,189,422,544,444,341,960,035,789,504,541,
671,534,799,147,581,555,546,725,395,402,973,528,486,154,691,361,617,157,729,
674,311,881,998,572,894,406,404,058,430,705,962,250,298,907,960,024,687,575,
298,989,756,983,035,993,388,949,989,892,293,892,982,662,706,954,937,078,454,
077,773,885,019,743,098,744,175,762,042,789,028,768,692,336,353,033,512,158,
120,897,412,635,864,700,947,245,550,574,572,072,020,258,404,575,131,809,656,
291,015,560,541,839,425,856,760,052,143,168,529,561,852,089,604,164,162,154,
720,085,020,531,617,127,188,317,169,453,794,236,265,225,188,707,507,265,539,
205,760,128,427,757,108,108,284,429,571,512,340,537,646,647,255,984,919,160,
941,277,313,859,833,693,489,411,090,512,591,264,050,593,845,299,294,591,052,
045,580,305,806,433,467,465,514,310,527,699,657,228,374,955,664,969,098,866,
552,703,728,247,676,964,152,764,118,630,004,817,168,894,200,086,841,823,646,
866,902,220,310,568,756,630,614,207,076,327,195,644,208,616,947,472,680,489,
816,994,553,736,918,219,058,005,382,280,566,940,101,881,600,304,971,138,704,
184,176,611,266,615,396,184,570,550,117,137,405,074,761,124,619,356,003,640,
536,546,323,494,303,088,813,585,979,651,541,159,256,373,486,595,461,190,200,
349,687,778,983,638,588,663,855,046,619,813,803,418,208,272,811,664,091,668,
382,342,936,303,662,954,272,808,166,442,178,986,325,080,618,949,086,874,519,
723,247,956,635,868,656,054,150,097,576,042,066,231,917,420,912,391,354,502,
861,294,851,537,051,035,934,664,431,783,533,604,457,385,858,460,442,108,179,
985,092,261,255,218,981,611,185,590,647,442,688,579,538,604,756,114,283,911,
329,475,913,678,561,010,126,427,422,185,185,140,937,680,733,702,994,226,902,
179,437,793,790,227,016,830,066,925,790,834,309,617,662,982,010,990,789,565,
000,063,817,660,211,292,246,047,615,396,580,853,546,027,645,536,976,712,564,
713,035,047,233,498,655,746,881,800,143,336,949,474,771,267,790,043,760,009,
742,134,360,766,234,590,410,470,819,290,296,509,068,188,995,572,571,476,467,
019,740,429,620,046,000,872,077,090,781,498,002,260,899,936,021,121,610,147,
608,503,273,245,934,552,012,656,409,791,542,317,151,757,477,752,208,187,439,
171,111,381,173,057,932,758,782,644,537,348,156,390,211,248,938,577,060,177,
126,047,476,504,856,537,579,156,129,365,042,501,794,817,810,622,511,248,623,
138,779,972,762,333,132,241,685,807,999,434,765,972,155,225,271,542,576,380,
240,117,906,993,885,583,597,608,136,801,670,714,654,694,564,752,959,669,113,
610,476,513,674,063,781,772,359,017,622,865,634,169,303,222,824,553,941,329,
299,444,264,080,650,658,434,862,822,314,208,344,829,917,830,463,157,248,069,
423,366,183,868,719,826,661,578,640,648,526,921,779,511,504,249,307,300,599,
399,682,180,034,539,728,417,123,945,948,715,765,412,349,390,302,995,693,626,
650,971,765,374,230,592,743,532,682,125,736,237,326,764,623,075,336,350,660,
511,174,458,448,772,911,091,820,632,901,482,954,012,501,912,396,763,057,256,
622,927,645,519,226,808,556,961,901,122,263,306,468,378,891,124,472,167,189,
106,631,322,072,474,317,690,620,755,848,806,068,234,969,232,634,580,333,857,
943,066,556,105,504,505,771,877,570,151,838,102,107,249,681,218,649,385,790,
206,252,590,769,071,454,208,990,284,208,523,744,582,814,910,673,489,534,530,
911,185,735,689,211,365,084,183,516,712,298,773,248,886,194,352,899,371,980,
519,696,476,938,958,352,054,236,344,892,721,820,335,267,458,236,475,591,859,
864,299,027,103,146,122,930,539,315,381,084,965,275,321,278,592,161,048,302,
628,692,453,233,939,502,972,223,151,555,087,261,976,101,223,585,606,539,009,
793,370,772,279,108,889,952,051,937,383,656,564,220,425,848,576,220,234,759,
027,646,225,313,992,796,586,048,107,291,956,065,420,715,565,579,853,354,023,
760,716,184,939,781,811,683,299,997,703,244,584,318,027,717,553,542,514,683,
953,821,576,031,014,175,336,424,664,404,532,514,172,895,731,137,213,902,386,
125,563,902,301,757,009,756,493,276,796,884,147,547,211,210,283,856,371,288,
265,220,274,251,059,296,439,073,790,494,167,156,984,869,257,396,607,655,044,
346,486,325,711,819,842,052,511,662,143,828,160,199,348,992,201,243,648,840,
426,711,603,578,058,105,716,634,817,842,455,933,538,498,838,458,374,087,068,
883,614,486,965,733,968,812,495,367,620,088,847,145,212,716,035,669,524,389,
353,459,777,089,112,838,828,656,817,177,932,450,384,282,204,168,477,575,424,
310,436,833,275,065,819,735,654,986,012,010,591,841,540,491,415,825,396,140,
530,412,624,753,887,001,473,909,944,537,299,924,020,335,022,312,910,858,587,
205,633,100,219,040,552,356,369,217,030,275,054,410,004,449,378,970,113,761,
533,277,858,447,201,572,067,813,389,689,453,157,170,222,145,980,641,259,747,
156,143,086,560,086,003,400,083,966,834,161,901,254,010,489,148,731,011,428,
486,759,660,053,587,073,731,588,705,923,090,644,929,623,509,693,261,810,291,
089,041,246,181,151,510,575,459,264,414,618,411,914,732,776,193,279,037,687,
651,321,263,721,643,521,429,946,570,631,405,825,776,479,419,941,906,020,722,
823,670,620,811,573,122,040,910,582,843,685,053,415,867,726,295,815,685,961,
747,942,361,886,908,692,966,767,960,158,179,820,348,501,592,207,519,403,731,
698,091,912,688,094,511,490,299,455,894,869,762,244,706,887,968,675,611,796,
821,091,629,588,228,622,242,203,184,597,798,855,306,794,371,271,133,343,578,
197,118,599,246,191,336,418,241,519,549,831,900,606,178,407,711,914,516,344,
965,548,879,315,534,157,601,006,203,602,292,537,484,920,381,020,547,435,501,
820,290,355,595,256,317,735,577,015,009,558,192,419,768,581,222,625,551,586,
025,598,078,818,916,459,314,049,723,580,823,924,581,482,821,716,043,787,931,
744,956,308,033,949,956,762,579,965,886,628,559,472,272,066,402,567,248,082,
835,137,185,489,282,440,687,521,179,842,757,169,203,612,747,213,071,595,833,
129,370,144,358,314,799,791,402,243,976,337,436,066,539,581,461,833,138,691,
332,522,729,621,426,872,256,411,491,764,359,288,394,799,191,768,351,113,613,
138,470,601,286,361,877,817,874,515,382,450,062,415,385,381,895,538,992,861,
759,964,930,105,287,534,338,081,544,318,582,556,503,956,546,312,549,227,883,
936,130,654,623,236,703,209,176,916,699,773,405,127,935,170,899,405,338,941,
749,797,582,720,420,488,337,303,153,731,276,592,130,139,840,908,554,566,041,
827,184,225,620,088,410,263,359,182,814,704,022,600,591,839,394,510,759,474,
153,163,579,315,680,661,848,007,295,747,694,908,696,158,042,276,275,397,331,
935,236,564,142,102,592,358,255,504,292,608,820,246,708,059,505,635,562,852,
477,300,974,337,083,052,280,754,732,405,159,315,886,185,908,275,816,339,329,
578,219,047,156,289,578,969,511,855,946,495,905,596,115,194,990,386,279,956,
938,398,785,630,833,949,720,716,138,123,927,005,351,921,377,643,665,160,498,
764,478,401,031,102,072,191,933,877,698,801,056,740,650,217,691,971,287,238,
000,324,094,123,451,938,578,428,385,913,009,037,913,896,718,337,517,455,296,
255,061,109,041,046,205,951,596,923,379,180,791,307,065,911,506,066,551,342,
711,325,671,823,425,606,493,056,247,175,304,409,357,673,720,454,998,577,721,
976,535,067,274,279,156,180,000,305,555,071,571,284,824,500,484,096,053,441,
630,056,845,423,116,121,896,680,006,293,688,747,249,845,406,364,215,903,162,
392,802,364,299,579,488,235,506,210,563,898,512,716,122,459,148,115,885,309,
066,870,695,753,507,759,089,279,753,604,549,037,272,053,089,476,426,256,350,
119,647,287,620,231,651,115,224,225,383,156,098,833,173,183,773,727,274,792,
913,372,786,317,418,013,918,068,657,645,632,921,735,169,662,273,401,107,117,
077,292,440,958,694,319,405,273,431,108,899,675,895,140,795,808,630,523,211,
662,380,497,227,438,808,419,342,534,624,647,382,854,128,525,155,911,987,141,
729,279,905,725,564,535,954,164,096,197,504,167,114,824,101,019,169,109,358,
461,398,819,752,199,142,849,276,152,036,181,178,501,733,872,020,770,957,549,
804,617,099,600,924,729,723,634,796,015,875,177,727,213,157,449,356,184,852,
282,920,669,478,308,873,697,250,591,784,344,798,625,466,288,340,399,028,700,
239,579,530,339,836,031,313,828,912,008,255,075,518,532,046,875,978,495,543,
234,639,749,327,515,875,130,769,422,351,257,904,597,834,462,009,275,372,039,
212,831,464,909,749,031,937,589,636,540,349,921,136,447,523,009,114,692,873,
494,971,879,519,559,077,650,400,621,997,901,198,817,322,650,098,263,984,406,
426,619,951,825,092,859,005,579,470,660,538,935,095,083,792,177,741,323,770,
909,743,196,184,490,991,007,571,136,502,692,525,147,367,852,545,993,599,550,
544,374,421,397,849,539,033,484,913,761,728,876,019,818,182,791,788,674,538,
875,506,910,500,772,592,949,507,324,503,933,227,203,484,432,966,936,209,611,
645,885,715,320,611,628,617,273,255,861,679,613,272,065,420,499,858,305,690,
919,304,379,155,877,979,302,674,728,833,500,282,772,025,164,321,722,785,360,
011,706,065,594,225,270,322,808,270,626,898,930,878,067,615,393,271,686,146,
963,121,987,661,848,674,546,749,507,731,427,337,035,705,280,864,610,658,251,
303,483,969,283,820,287,125,122,903,713,404,150,259,163,535,760,853,857,712,
089,628,248,106,616,442,849,139,464,598,293,896,049,821,113,230,052,050,598,
971,016,142,337,204,027,583,243,962,848,597,543,868,785,070,826,123,692,525,
869,401,018,859,706,420,736,306,650,240,067,641,083,437,491,828,055,103,493,
493,774,792,850,510,605,851,051,192,624,289,730,672,984,208,019,211,567,467,
534,869,118,588,896,554,239,651,183,578,467,439,890,439,713,651,722,295,059,
273,959,940,154,419,259,132,915,943,620,484,471,887,670,597,035,995,164,390,
395,766,249,089,975,636,295,603,255,934,686,163,058,753,235,269,828,384,527,
319,747,045,118,338,784,610,071,437,064,359,377,160,135,799,060,784,417,719,
076,363,136,500,316,418,776,297,719,275,934,245,834,454,307,788,845,392,195,
511,725,935,439,809,252,029,403,729,651,159,270,256,116,345,417,218,489,854,
637,674,718,582,939,114,197,447,987,008,482,010,808,231,741,080,236,192,563,
801,431,401,849,211,221,846,992,023,535,346,781,895,200,907,885,050,405,284,
211,177,260,181,113,265,609,506,177,532,664,646,323,194,018,534,379,643,021,
523,792,394,638,007,043,148,501,792,857,955,207,039,425,067,707,205,032,384,
862,326,230,112,909,990,319,205,883,023,402,076,653,533,858,523,319,383,487,
055,854,416,203,027,713,909,235,375,891,167,051,274,402,087,609,674,958,590,
837,696,953,062,961,689,758,553,099,825,552,901,844,443,097,872,454,165,608,
181,919,466,232,646,254,130,190,505,840,117,037,309,586,164,347,851,680,118,
079,033,316,780,070,389,775,540,904,033,337,616,520,374,724,128,778,250,386,
867,494,641,011,598,031,371,542,282,730,053,914,096,637,066,880,199,570,121,
484,301,526,126,432,682,131,567,833,258,889,561,261,210,343,598,804,081,623,
429,855,834,803,324,963,132,981,680,166,319,864,010,862,258,447,940,784,870,
951,311,672,538,890,630,007,586,168,516,727,108,785,511,828,488,121,573,433,
073,670,064,937,169,102,082,630,703,359,259,708,875,180,347,561,723,412,356,
397,869,237,861,494,951,858,117,115,193,804,705,949,725,529,818,513,982,390,
572,601,979,249,075,264,723,091,270,068,130,743,820,494,111,414,667,949,414,
086,464,513,932,711,704,160,489,410,880,896,209,369,657,494,742,645,669,958,
106,439,428,339,011,044,172,985,335,834,691,652,570,419,917,410,214,381,722,
361,705,954,619,784,513,288,388,873,027,028,877,568,603,392,739,045,281,564,
002,670,188,191,286,024,232,903,892,858,438,742,066,183,037,045,889,062,491,
016,305,368,138,747,802,975,936,888,303,440,178,119,847,864,136,425,349,613,
375,063,531,600,101,596,965,586,231,159,108,874,586,874,509,260,874,141,223,
436,451,951,613,187,535,572,673,344,204,646,732,775,177,145,633,248,102,911,
039,221,137,548,817,679,713,740,920,942,335,476,400,043,200,066,225,514,159,
363,668,268,631,853,546,997,476,821,311,861,669,850,829,197,728,606,384,323,
079,603,247,515,441,499,224,198,623,489,102,369,487,767,896,278,861,686,667,
844,180,319,920,699,719,757,697,976,394,297,615,535,271,845,548,744,285,329,
206,149,606,522,181,620,416,420,085,634,752,501,106,557,552,648,627,052,709,
813,868,341,812,528,485,052,901,854,336,327,949,542,825,834,602,842,056,054,
233,311,039,662,666,627,408,466,222,271,394,532,054,483,380,231,450,062,732,
156,657,863,573,620,465,216,950,601,034,691,824,871,203,328,654,595,764,359,
477,869,248,643,638,893,116,765,451,135,711,099,846,665,464,632,949,722,952,
321,330,698,502,468,364,972,073,348,017,207,783,773,229,809,170,848,843,049,
524,817,912,880,309,050,512,004,968,896,848,203,902,609,272,642,187,329,108,
144,672,195,811,694,525,785,653,211,180,272,637,969,641,152,022,705,630,667,
676,550,413,925,752,149,664,265,081,305,456,422,742,135,439,399,188,067,194,
955,763,775,051,292,111,880,173,962,528,357,695,957,356,892,849,771,020,665,
451,986,434,453,301,896,275,937,545,013,198,841,366,363,849,108,254,260,652,
763,632,314,238,000,715,358,638,140,347,395,427,779,102,334,000,709,322,417,
088,236,577,807,713,028,613,124,712,708,046,316,078,245,549,233,450,496,144,
975,605,443,524,310,644,757,512,906,122,173,684,914,885,960,534,110,801,985,
484,526,053,905,399,488,848,133,198,220,705,766,192,631,750,433,102,009,888,
343,237,822,895,630,897,028,707,469,443,558,685,659,555,786,376,956,921,771,
422,701,381,203,820,069,169,014,272,039,255,683,244,929,951,622,453,027,601,
322,708,971,222,374,965,464,870,046,086,035,906,821,473,848,464,172,422,170,
695,120,698,648,217,475,389,096,145,687,640,171,156,245,197,893,636,060,946,
689,465,482,042,353,788,871,228,897,395,357,958,579,403,231,329,101,730,441,
160,234,486,465,737,485,561,864,413,120,953,722,931,167,777,254,189,630,783,
780,772,995,392,039,085,955,195,906,190,139,654,104,792,423,141,343,982,988,
330,236,975,828,669,438,805,711,445,757,802,734,817,604,052,186,451,722,268,
130,745,736,090,256,582,602,989,547,972,011,537,089,936,197,287,321,141,931,
617,783,674,266,554,555,544,364,018,360,641,068,120,440,790,004,375,546,336,
810,347,902,065,509,598,881,586,848,190,228,534,955,864,565,914,806,544,681,
187,083,762,652,514,939,172,593,274,013,262,356,036,210,815,294,293,966,407,
648,965,064,649,100,324,195,809,702,753,052,182,522,272,007,287,451,584,310,
493,907,018,516,679,717,320,137,174,040,109,420,164,035,991,264,389,707,832,
585,028,145,762,002,110,624,095,595,038,566,359,052,411,109,964,203,278,759,
093,208,271,185,557,215,089,058,146,407,760,519,448,493,165,079,020,928,386,
137,900,209,273,690,042,970,534,208,310,033,700,211,522,167,873,879,145,934,
656,260,056,206,230,326,211,311,528,616,027,380,712,280,485,139,297,645,581,
816,691,135,917,447,291,328,743,632,970,511,475,559,077,058,934,971,395,412,
058,339,984,113,808,177,277,697,362,112,207,474,350,243,070,959,572,015,736,
976,988,124,675,148,833,780,962,244,360,546,066,585,065,374,686,266,488,851,
189,613,312,288,904,374,700,739,252,248,776,861,942,635,166,739,484,891,898,
903,614,820,510,065,652,687,801,939,972,975,771,865,427,783,574,425,014,887,
118,447,188,844,419,429,300,128,462,949,821,821,743,205,859,561,496,661,069,
229,896,546,891,074,691,868,870,063,621,691,246,971,676,953,958,874,993,421,
268,293,366,081,113,121,029,057,932,717,172,725,016,660,904,280,008,236,753,
203,057,579,034,517,234,034,169,888,824,782,973,634,105,994,307,176,662,062,
745,366,797,918,268,631,642,914,928,950,279,577,195,758,365,375,668,158,793,
399,164,030,439,822,945,946,314,453,756,908,463,223,466,867,443,509,655,357,
007,533,217,471,479,926,451,207,251,026,070,846,603,463,506,882,861,552,121,
039,588,819,259,132,532,012,348,570,256,813,905,613,327,190,638,233,925,085,
288,294,484,784,936,138,991,576,759,592,496,454,100,979,992,836,679,861,798,
116,183,054,333,165,361,463,599,781,913,564,773,063,118,792,262,810,467,759,
010,733,132,091,847,482,291,014,369,539,999,279,284,188,922,519,355,366,324,
690,125,011,307,621,059,133,505,373,630,496,496,638,000,757,692,307,403,953,
695,323,690,981,710,797,628,457,518,845,853,788,301,523,997,202,279,737,952,
866,840,278,576,201,276,113,304,888,602,334,816,211,963,329,783,179,781,920,
680,519,565,563,775,598,979,791,145,483,202,040,235,593,009,022,547,753,230,
055,086,695,415,036,983,762,849,469,119,602,822,022,926,226,662,433,557,467,
645,412,803,816,948,386,784,398,912,782,881,002,773,658,814,710,726,075,220,
510,850,038,988,069,930,031,203,158,026,567,630,459,374,296,658,949,814,127,
409,421,106,049,695,954,146,693,077,732,194,286,370,519,797,134,895,818,562,
062,617,222,183,349,813,417,368,995,015,863,116,404,259,362,707,511,984,808,
225,225,367,082,452,780,826,575,114,350,038,816,406,550,562,843,407,860,940,
020,428,754,670,359,474,987,791,519,266,750,882,863,775,597,107,837,198,404,
254,257,576,854,297,369,720,297,714,613,103,156,319,117,152,301,454,412,907,
938,169,449,350,492,854,975,708,498,188,829,125,759,064,498,981,020,299,474,
404,975,016,732,870,809,231,096,748,675,957,022,401,260,224,621,013,310,197,
433,797,080,172,052,041,088,719,252,990,740,153,060,051,370,780,374,704,275,
775,930,512,709,564,002,641,974,318,342,804,767,345,479,249,295,340,655,198,
343,990,439,308,582,520,053,166,586,127,826,849,245,848,273,284,043,276,254,
727,609,830,277,975,439,381,105,137,231,080,959,456,241,246,375,340,738,928,
288,028,523,723,745,469,047,630,615,151,261,729,037,707,449,482,235,288,237,
885,447,460,666,081,643,735,177,008,679,915,681,995,140,957,215,377,175,051,
225,317,977,617,562,879,751,979,862,112,447,771,133,259,130,746,115,146,151,
200,520,160,612,044,846,506,227,140,443,914,482,826,769,472,979,522,411,434,
157,846,962,922,914,058,399,329,721,702,182,716,033,487,185,261,908,632,020,
338,971,847,440,295,156,320,002,219,046,924,447,338,798,704,743,780,242,379,
812,653,806,950,596,175,793,876,604,190,470,062,863,897,484,472,436,350,686,
050,967,195,205,456,346,556,353,012,179,391,930,542,787,451,968,399,516,863,
985,175,311,215,738,118,171,245,771,796,265,764,408,598,376,755,035,946,561,
773,614,113,696,771,727,845,635,482,744,818,867,711,043,758,032,470,777,405,
672,283,399,071,956,651,583,584,128,801,646,902,818,330,903,777,956,226,248,
472,955,098,641,928,875,269,600,164,578,570,915,571,678,270,828,663,528,986,
261,206,214,441,320,036,228,799,354,403,764,592,857,567,294,870,443,633,472,
659,361,566,028,889,156,958,975,411,216,251,572,591,404,095,112,790,897,371,
774,531,481,573,521,864,491,394,571,769,012,337,697,402,636,475,687,207,576,
993,620,775,744,185,608,064,139,635,471,200,777,924,323,484,360,402,418,738,
215,303,242,330,269,394,931,151,604,238,445,215,247,826,093,395,636,034,825,
358,388,884,314,343,357,064,666,992,718,893,714,592,110,129,098,065,060,409,
018,592,502,367,825,252,095,496,359,858,050,794,423,612,470,083,183,022,319,
051,910,366,638,900,838,912,321,958,108,636,000,023,939,262,012,363,372,706,
236,971,702,432,320,256,990,972,503,658,412,287,043,917,270,341,091,079,378,
099,517,467,280,720,600,176,973,592,364,694,867,184,476,005,838,984,325,209,
628,256,960,598,251,221,883,992,191,063,321,988,466,540,232,081,121,190,242,
857,195,286,795,092,703,821,864,178,765,777,598,144,973,200,137,056,796,467,
145,461,021,028,996,901,243,158,946,398,215,191,191,040,442,729,318,692,470,
113,382,573,603,290,368,582,970,999,859,273,861,032,856,651,080,705,422,124,
206,921,414,381,640,550,023,797,344,963,585,370,210,424,702,748,513,480,468,
095,485,608,195,860,691,622,179,033,423,536,961,566,090,193,854,707,452,265,
371,401,953,089,914,333,562,297,774,464,690,483,428,232,191,978,040,852,525,
228,795,700,271,621,304,339,682,677,108,126,627,888,756,371,044,737,130,404,
524,580,587,702,781,837,129,881,255,570,236,376,252,400,804,789,685,575,019,
826,593,691,399,129,396,709,125,065,966,170,471,906,817,369,513,739,491,907,
023,783,654,174,687,627,026,728,429,920,288,465,703,051,344,865,344,768,748,
427,194,118,457,105,622,273,618,154,814,978,841,211,179,858,528,358,859,615,
768,369,996,398,004,500,088,749,980,719,972,799,327,716,900,449,359,483,420,
016,544,173,200,726,604,725,734,456,725,022,235,692,433,517,715,732,147,369,
702,657,788,414,911,490,817,043,615,108,357,188,141,194,977,881,027,006,672,
792,769,562,504,394,527,464,723,407,285,340,506,957,295,888,126,566,284,532,
724,522,935,280,137,810,386,421,180,871,310,322,827,343,813,654,145,613,966,
607,359,063,999,088,405,158,856,003,285,457,007,618,634,345,103,241,348,503,
288,416,600,051,004,612,857,926,764,106,568,995,615,739,918,320,810,878,325,
413,230,898,497,045,665,395,211,299,501,849,473,734,984,245,698,747,879,971,
008,611,484,690,726,829,083,709,213,856,022,709,972,577,247,792,320,971,723,
184,481,314,564,813,885,299,693,408,775,672,482,022,961,522,182,673,113,624,
406,373,842,480,267,594,200,342,690,969,127,270,690,804,869,153,143,257,708,
499,322,594,491,677,526,897,562,420,214,269,999,459,300,099,357,508,045,425,
087,018,108,920,152,095,063,260,375,043,104,138,566,039,920,063,858,743,503,
264,262,733,869,809,524,916,092,209,098,495,350,215,841,995,087,201,288,903,
550,171,990,311,114,444,371,595,419,390,624,782,120,186,139,180,843,993,093,
597,343,637,118,374,118,698,294,579,851,995,534,579,636,759,844,811,404,088,
360,152,935,998,583,305,293,132,678,615,637,926,361,410,498,274,231,842,145,
699,871,931,575,785,299,554,698,158,451,223,599,364,413,728,057,982,077,223,
245,929,782,938,620,412,126,780,983,468,034,334,235,933,725,904,753,413,870,
098,073,048,381,460,465,392,191,433,692,284,256,261,066,888,897,938,005,770,
532,663,946,170,773,015,205,188,238,848,006,174,780,953,345,536,282,185,339,
222,307,019,034,903,744,266,380,422,232,218,218,388,198,737,233,411,815,861,
537,538,005,672,218,600,291,537,198,721,324,532,177,673,568,172,394,501,208,
435,342,064,120,187,765,399,494,059,582,911,406,950,228,142,951,770,245,224,
022,320,002,076,803,166,326,172,379,921,050,225,414,146,219,021,836,359,382,
675,361,111,916,124,417,388,215,999,449,472,795,952,670,390,513,830,673,422,
413,934,725,993,734,727,508,489,140,998,290,284,563,930,626,791,836,774,471,
980,542,078,083,727,639,048,431,084,362,032,916,044,983,727,829,417,030,536,
074,572,694,633,366,365,433,418,614,211,758,004,946,726,347,407,141,130,104,
700,003,677,738,686,510,236,483,461,697,554,687,725,807,263,615,053,478,633,
381,068,847,952,059,236,736,190,497,595,939,829,300,155,789,241,583,195,252,
321,125,944,763,517,882,222,901,499,994,699,863,696,707,959,932,401,784,811,
711,697,998,918,560,042,354,049,282,355,128,451,575,114,934,075,665,457,796,
579,970,994,400,887,696,579,687,228,114,993,815,267,548,282,144,491,406,918,
548,773,793,895,627,806,111,165,137,800,321,136,791,482,368,145,038,637,560,
983,261,002,205,472,952,654,286,939,938,342,500,847,046,456,905,683,285,143,
877,810,980,113,276,013,107,973,904,822,905,097,164,908,135,345,519,185,864,
270,430,735,297,052,385,354,755,159,416,513,386,125,978,679,523,193,977,557,
336,613,242,448,155,876,817,318,268,686,524,944,948,623,222,224,774,541,928,
550,806,310,186,548,954,569,588,465,418,320,291,765,838,223,248,861,002,286,
216,156,157,744,522,327,422,694,082,974,711,281,802,655,168,545,156,515,807,
863,374,976,874,607,110,077,899,266,975,948,512,001,316,788,057,025,253,586,
730,769,168,056,939,468,612,892,953,002,717,165,877,798,969,152,169,210,395,
890,444,679,899,860,468,178,032,778,056,570,005,901,851,084,846,228,668,289,
123,198,182,998,224,201,083,730,206,107,030,344,083,315,422,544,343,325,498,
682,434,957,605,283,972,111,968,276,026,096,065,966,726,458,768,469,020,585,
111,709,995,971,338,031,008,710,758,348,296,566,231,894,117,738,424,368,497,
029,480,032,454,161,199,159,209,464,985,017,940,977,755,946,485,524,908,309,
154,904,482,829,357,506,027,580,298,257,823,092,241,323,681,182,787,647,506,
559,221,830,290,577,055,523,039,774,042,988,763,202,255,300,031,788,601,751,
399,620,631,167,951,822,414,064,104,575,432,270,930,289,604,368,824,352,499,
275,973,256,418,405,163,197,482,100,786,390,864,685,629,463,787,667,600,286,
078,699,001,370,818,631,872,106,815,984,453,711,071,793,752,299,112,863,397,
889,474,597,582,139,415,693,517,922,720,016,937,722,737,121,570,190,602,879,
734,988,947,418,281,140,876,807,322,171,026,588,439,984,100,782,121,043,915,
981,374,628,343,334,460,543,769,896,846,510,417,905,223,605,029,060,966,374,
748,852,479,400,126,435,468,358,578,399,043,875,951,611,009,657,502,087,458,
457,242,370,150,887,236,505,770,832,624,543,411,016,813,867,080,244,803,468,
932,096,984,433,389,349,429,856,704,203,447,764,485,499,820,717,875,037,925,
479,108,967,951,311,199,908,368,734,456,705,128,759,304,251,726,952,927,686,
902,058,302,047,069,446,762,475,988,702,560,193,351,110,300,913,196,962,456,
692,155,668,696,566,223,344,180,742,949,198,470,723,519,843,179,473,158,009,
719,010,005,260,564,859,081,208,211,982,651,811,103,900,602,973,639,636,311,
594,210,732,844,796,651,147,225,446,565,437,917,848,781,670,545,664,634,659,
034,763,644,882,304,254,081,528,555,418,840,324,455,420,937,866,771,999,036,
167,551,269,735,649,222,276,673,458,290,210,475,964,020,448,957,214,697,970,
951,417,006,940,099,837,801,154,714,529,056,511,063,039,796,865,464,572,670,
296,046,899,630,302,739,659,692,545,632,190,060,545,559,157,929,713,829,297,
277,112,104,636,577,955,750,100,487,269,825,039,083,631,374,044,868,408,444,
962,069,994,097,409,569,726,690,996,624,399,501,355,150,889,947,441,453,694,
964,382,437,480,749,271,781,119,075,188,316,137,639,472,491,654,097,450,403,
409,212,216,263,841,643,960,706,605,338,400,760,290,622,236,993,696,272,634,
174,221,616,718,153,280,349,734,894,796,305,391,427,412,224,232,506,694,728,
057,824,936,437,910,750,319,296,239,354,413,994,465,000,945,861,522,058,695,
564,834,231,823,204,438,504,041,118,716,304,302,048,145,881,644,620,159,755,
038,725,994,053,965,726,641,333,619,219,790,322,348,147,569,862,019,984,652,
361,289,667,982,500,879,465,918,857,753,622,304,863,978,601,740,840,874,705,
802,917,241,721,568,937,024,879,278,732,003,395,037,357,943,939,621,762,218,
271,516,215,809,911,223,763,582,881,681,751,939,948,373,528,371,904,069,521,
039,389,929,712,849,882,608,501,182,150,396,092,528,651,039,354,129,553,810,
425,970,669,000,135,565,442,042,878,264,836,768,271,209,592,003,312,220,262,
661,905,531,335,160,509,304,652,741,550,352,947,145,322,159,898,767,303,797,
038,650,883,346,650,159,463,144,250,488,085,621,132,035,935,011,414,851,347,
303,144,178,856,797,291,258,467,505,922,779,217,578,915,086,487,161,124,152,
212,068,243,558,959,449,146,726,915,027,524,057,436,656,281,258,875,093,677,
128,887,343,608,056,060,559,630,735,550,690,955,834,395,844,222,999,297,637,
270,697,761,769,967,405,226,705,346,090,398,309,823,714,160,538,085,590,738,
744,081,364,139,614,737,259,195,165,026,559,039,128,633,161,700,674,983,014,
833,119,827,206,072,387,438,209,277,408,958,681,752,875,372,513,032,415,594,
803,095,998,426,977,280,085,995,101,690,782,181,226,225,912,012,169,115,195,
947,498,677,737,908,959,228,026,644,417,375,119,635,754,096,042,497,421,769,
591,563,292,715,047,930,439,317,960,521,643,655,112,579,371,346,072,566,523,
687,018,567,945,464,650,039,929,920,883,473,028,101,813,940,178,262,203,348,
387,883,051,027,470,478,080,291,558,239,529,240,501,733,109,426,916,657,042,
806,190,985,054,535,544,911,429,273,475,174,110,323,553,006,993,283,295,996,
435,619,776,181,421,396,823,984,977,351,455,247,834,257,648,284,192,927,170,
335,893,925,157,046,453,250,187,075,721,816,003,659,874,767,725,789,944,125,
248,174,165,656,673,450,301,248,209,523,321,321,943,392,165,780,377,826,654,
053,093,617,953,935,851,917,503,634,760,633,946,003,518,325,138,207,824,543,
603,851,265,703,350,463,084,005,460,456,501,621,462,885,168,892,835,642,052,
764,526,015,375,992,469,309,488,134,495,345,091,831,375,536,116,669,268,706,
767,803,743,188,673,168,878,448,362,967,978,330,703,767,120,029,147,447,933,
090,763,686,787,421,791,819,875,329,284,195,814,878,444,484,770,508,877,740,
391,595,229,426,351,871,435,427,235,334,894,442,386,893,802,919,393,728,595,
517,533,887,273,541,800,292,834,285,251,457,893,080,144,673,220,890,068,615,
441,291,356,256,135,579,830,460,308,667,467,345,726,087,562,755,649,676,984,
001,244,086,375,184,293,672,975,801,275,655,926,380,080,332,130,381,574,795,
117,110,782,323,101,170,474,904,672,038,752,009,869,325,821,358,484,975,650,
904,178,003,091,792,530,205,933,673,522,550,073,029,010,708,402,970,947,520,
444,873,943,386,355,341,641,959,894,553,305,176,909,956,498,656,672,693,211,
391,935,710,684,781,525,218,735,375,930,815,243,126,665,611,332,491,463,513,
819,328,117,533,773,365,312,340,814,419,434,797,961,821,645,196,262,714,814,
278,230,212,529,858,671,932,357,400,000,619,822,254,661,248,566,388,151,310,
152,121,149,733,014,357,328,047,080,502,925,269,338,385,531,961,094,868,836,
395,422,892,500,758,292,204,024,337,517,561,596,677,348,690,444,453,697,086,
563,508,471,832,742,487,637,151,880,914,522,395,657,790,265,921,664,410,202,
583,511,115,740,324,144,204,696,189,340,827,538,773,870,075,957,091,616,814,
553,383,107,022,912,002,752,950,134,704,896,684,971,571,916,148,481,443,601,
729,575,768,485,743,019,507,425,928,834,843,907,640,898,712,242,683,522,977,
504,926,931,723,018,769,578,630,172,379,643,205,979,486,109,879,243,292,066,
998,700,799,177,880,336,121,936,655,070,233,552,571,232,110,291,681,469,724,
462,747,027,045,700,926,777,777,704,506,059,718,601,517,205,153,975,048,512,
820,262,555,683,683,982,982,891,973,147,716,095,881,445,329,112,062,876,003,
773,771,931,995,265,216,520,629,795,757,436,631,954,888,919,084,283,295,365,
268,762,644,009,950,165,531,248,304,637,437,527,686,348,032,225,250,436,168,
772,296,661,503,728,252,264,052,860,683,160,110,265,303,105,486,390,377,028,
458,219,872,627,908,075,862,049,931,056,115,339,339,965,632,948,507,508,816,
072,332,470,433,834,287,087,973,076,786,955,252,838,145,890,936,808,978,326,
289,914,962,746,962,730,331,400,652,580,762,758,898,134,642,863,802,390,399,
330,180,404,631,631,988,271,961,347,246,610,568,085,418,257,234,673,254,147,
093,263,372,953,257,482,169,817,395,458,563,778,574,041,715,101,231,909,057,
396,742,039,706,858,789,707,721,184,679,787,975,552,313,230,749,983,098,743,
608,793,442,490,192,098,339,882,341,912,540,596,913,221,686,149,543,383,252,
984,858,366,786,428,121,823,109,363,711,686,502,282,259,972,467,382,290,443,
627,672,072,453,163,170,290,288,090,040,000,537,340,694,168,808,634,167,212,
310,486,733,887,374,443,373,942,461,182,206,150,034,085,719,504,778,294,898,
608,016,492,073,186,820,630,887,435,568,739,196,985,863,004,214,175,504,924,
132,236,403,645,772,279,776,701,182,960,019,476,609,429,327,520,132,544,978,
803,214,401,680,676,271,447,682,646,359,545,887,424,111,061,200,562,706,888,
582,074,767,471,680,035,802,043,368,745,733,326,797,577,229,782,674,352,986,
230,607,362,795,258,925,729,132,277,637,749,788,066,348,387,144,729,412,547,
946,582,837,508,675,031,318,375,504,362,173,129,473,694,368,778,620,908,115,
569,935,827,687,600,391,188,801,371,339,284,249,631,714,948,598,734,794,058,
468,905,999,954,251,965,793,690,655,342,289,512,230,084,155,085,704,956,585,
874,516,414,612,559,811,804,456,172,485,389,944,844,733,375,392,464,563,379,
461,628,609,680,300,620,565,182,426,567,081,824,375,702,086,455,975,801,905,
050,969,314,883,941,573,104,148,881,201,987,683,438,524,803,183,092,730,865,
032,786,184,224,715,761,130,438,713,755,271,960,612,965,392,704,451,609,270,
267,220,837,965,580,468,712,994,414,549,091,507,790,323,368,333,905,602,782,
792,848,242,640,155,407,455,866,684,634,226,060,353,631,608,438,763,901,385,
604,220,403,749,837,412,862,125,151,472,205,856,398,157,453,640,500,397,838,
917,780,213,347,066,303,271,192,758,312,410,273,560,371,082,691,018,451,059,
598,651,190,132,067,008,422,097,079,069,802,006,683,540,297,939,293,652,912,
317,712,593,239,408,274,163,723,959,850,101,845,757,759,678,504,425,358,283,
513,164,812,637,784,049,649,356,926,589,385,055,310,210,414,441,246,996,091,
104,004,009,565,888,290,676,956,214,911,218,067,191,108,003,790,250,082,783,
950,702,369,523,471,790,716,510,067,769,251,468,245,453,640,366,883,010,591,
638,359,642,010,231,638,873,996,366,716,306,669,179,499,571,540,312,555,767,
763,394,123,668,407,065,599,880,903,210,453,163,152,683,177,564,881,750,900,
159,385,304,448,054,812,157,877,573,533,801,133,799,014,247,269,921,940,141,
956,402,673,235,010,075,954,488,303,639,379,866,557,276,920,158,287,489,443,
685,180,440,442,446,498,579,062,790,375,584,095,185,635,361,888,136,709,304,
779,336,779,150,341,240,554,869,696,219,771,667,288,626,319,407,428,265,289,
578,743,559,507,648,979,045,276,425,230,615,821,618,534,188,597,126,087,344,
782,554,428,426,013,724,403,839,497,305,000,161,412,701,477,295,258,253,221,
073,342,392,080,161,525,541,908,698,537,203,363,508,260,640,182,143,508,252,
948,061,355,328,034,993,155,563,463,089,256,241,915,690,471,034,923,642,640,
387,302,722,655,811,052,794,567,210,193,456,686,377,758,573,295,499,931,762,
725,879,718,245,897,547,442,949,075,952,219,414,167,130,691,326,094,894,909,
307,096,274,533,381,523,858,835,524,772,791,329,924,149,359,245,642,935,175,
886,943,342,380,200,024,181,831,340,505,333,190,587,292,301,466,604,953,196,
998,026,767,782,265,992,239,834,298,084,021,193,241,122,365,604,263,658,805,
066,446,453,036,198,396,946,641,488,439,507,067,986,561,265,422,225,299,041,
304,511,057,376,786,192,144,530,894,585,653,303,549,989,121,380,491,606,822,
444,828,576,804,161,318,769,731,383,200,522,174,460,419,224,584,823,191,691,
656,082,066,521,058,415,357,981,836,209,239,248,501,760,729,733,383,723,559,
000,423,263,447,165,780,256,021,361,919,719,184,982,922,982,224,586,006,615,
329,085,842,852,006,204,344,240,839,953,959,244,571,393,740,036,671,492,073,
188,272,420,024,083,460,156,142,777,181,211,970,047,180,714,890,036,301,232,
611,373,322,498,682,325,529,370,624,684,957,257,719,976,161,016,777,973,055,
853,702,462,090,635,568,267,094,336,875,562,905,257,593,869,227,940,917,209,
557,992,620,990,542,267,724,810,355,031,896,493,839,617,323,875,225,660,830,
440,010,588,668,423,099,583,239,492,427,552,883,453,603,411,029,260,847,068,
236,826,311,413,281,264,308,102,261,670,040,415,515,417,846,416,099,387,609,
918,033,112,026,539,748,066,414,397,017,507,736,215,831,700,027,664,118,905,
866,427,443,811,143,446,507,770,959,633,481,382,078,439,807,096,293,934,810,
169,512,870,323,523,658,679,139,163,682,051,272,724,600,926,975,398,828,046,
962,470,745,117,917,606,306,573,974,961,836,465,620,681,719,294,172,205,229,
400,077,320,237,967,935,271,262,277,109,570,929,893,206,918,511,505,895,798,
565,963,454,540,839,128,543,230,996,639,627,053,834,228,371,302,688,134,544,
222,918,586,021,206,393,696,757,899,526,155,470,921,102,437,465,191,803,351,
625,108,097,263,059,195,574,366,454,415,173,046,193,102,849,352,943,462,129,
749,888,120,809,512,455,368,181,790,417,925,031,526,837,163,978,851,952,793,
171,424,732,713,803,720,076,855,557,251,294,208,677,756,848,111,346,665,955,
312,947,189,218,614,766,283,545,716,781,422,316,679,224,775,953,201,978,691,
952,497,444,742,034,599,698,700,056,549,159,253,950,349,818,133,373,772,950,
278,334,916,503,104,831,352,079,522,499,584,401,126,396,430,906,104,019,829,
383,363,175,628,458,571,414,276,669,279,261,833,168,264,667,388,066,219,853,
767,456,344,641,989,049,377,341,001,457,437,714,774,147,124,780,864,254,688,
307,802,398,879,108,080,062,506,123,345,580,983,111,863,433,764,816,645,337,
464,128,382,664,002,350,370,372,630,141,998,197,152,896,480,599,267,006,807,
548,245,680,042,289,213,100,186,448,299,320,893,370,094,479,478,918,121,165,
667,551,285,133,944,402,462,497,598,891,282,881,987,144,350,116,224,932,030,
946,117,709,869,837,005,510,155,302,163,106,488,123,007,793,212,415,103,890,
731,832,929,397,754,047,951,789,186,586,175,154,593,311,604,593,306,583,011,
942,291,808,997,074,913,361,975,722,005,982,990,058,631,749,177,339,450,898,
708,053,200,487,081,806,118,097,940,555,440,731,768,553,711,983,002,083,043,
291,361,568,841,673,309,317,588,177,420,604,864,233,137,917,462,730,244,611,
476,355,932,183,083,028,442,118,000,623,222,802,543,633,143,435,961,512,852,
224,032,173,575,925,441,717,443,252,340,552,474,043,917,674,971,281,809,619,
470,199,998,540,343,851,665,246,911,688,165,273,382,954,520,573,073,725,459,
286,244,835,959,861,555,138,971,360,328,182,838,858,118,648,254,158,638,322,
275,532,228,862,649,206,783,904,345,551,520,183,884,335,731,248,987,379,233,
431,125,250,811,552,852,094,664,303,247,171,028,098,056,642,717,068,462,840,
276,213,213,853,774,467,334,009,202,702,317,653,099,486,905,015,409,499,901,
646,948,064,365,900,533,307,134,431,155,586,093,640,823,539,370,510,086,403,
956,653,163,458,792,500,100,352,433,394,321,743,159,452,624,631,503,475,149,
127,666,226,432,820,697,256,639,223,874,848,144,989,605,342,014,906,355,745,
879,067,738,565,694,173,450,028,240,056,013,411,562,164,449,343,317,914,789,
897,488,483,498,443,498,228,240,859,365,204,439,910,345,627,771,523,398,000,
514,589,839,041,436,008,615,493,290,111,123,236,335,918,365,425,192,786,501,
570,145,361,009,562,567,885,792,014,873,908,192,930,613,092,153,482,251,252,
271,144,963,427,358,131,640,565,529,840,162,047,570,909,790,211,971,361,923,
997,199,865,510,281,836,395,184,099,097,352,472,231,256,227,077,256,097,904,
133,302,124,190,969,382,115,996,044,346,942,926,356,904,215,878,471,208,620,
513,841,364,132,456,856,544,194,008,912,612,025,567,519,816,053,457,381,132,
893,273,169,799,054,541,279,413,123,117,293,866,621,371,956,895,078,174,103,
082,708,031,680,473,650,100,053,680,906,534,646,016,646,054,617,919,462,498,
174,692,925,685,252,930,813,717,707,728,831,326,374,452,519,286,146,051,179,
334,145,225,863,512,834,929,006,762,348,213,733,165,123,690,138,961,535,678,
179,806,409,300,111,386,870,947,763,099,934,413,064,592,067,413,139,724,492,
211,472,075,005,712,692,302,525,799,269,744,656,064,482,935,555,397,459,195,
404,499,745,648,799,781,997,204,784,099,111,853,304,718,625,819,406,931,534,
731,606,485,156,505,524,691,360,353,098,534,018,516,585,700,671,594,363,056,
297,177,114,458,833,339,657,777,745,900,625,435,812,592,124,792,335,821,783,
935,104,177,906,627,621,105,118,058,258,596,679,176,417,016,412,224,595,540,
328,618,316,742,502,197,951,444,037,221,131,372,739,989,627,693,237,520,585,
815,998,646,770,661,505,728,578,257,848,932,117,525,467,049,416,173,638,449,
339,948,905,650,651,740,538,403,866,213,247,128,497,300,981,382,843,185,239,
813,185,599,072,310,899,189,121,500,662,308,054,116,443,516,434,245,847,835,
063,201,857,509,608,392,122,022,951,404,449,260,169,507,641,660,712,003,029,
764,124,309,682,630,394,998,762,768,653,090,347,773,398,526,876,856,945,100,
725,543,047,471,395,974,296,729,138,496,045,730,421,991,280,915,701,833,566,
295,462,914,621,392,798,847,634,218,588,056,713,658,755,333,239,561,505,436,
220,085,891,694,208,109,888,041,128,448,068,011,434,251,228,011,628,588,555,
788,105,729,358,061,599,410,570,900,298,771,253,146,546,529,522,719,524,808,
877,167,563,692,397,952,291,176,520,720,201,025,500,618,199,465,594,665,875,
182,986,757,669,143,176,246,081,079,952,743,234,968,645,569,326,738,543,514,
314,851,030,584,086,059,355,026,391,528,109,443,915,633,726,820,416,422,678,
369,610,054,063,180,387,862,590,646,597,038,932,175,863,419,505,169,861,836,
798,041,668,932,131,101,752,598,149,683,906,840,013,278,037,611,410,979,343,
794,008,959,412,319,412,010,602,334,555,618,641,206,596,180,211,048,723,409,
748,393,717,054,338,359,929,393,966,253,151,640,594,676,949,566,888,675,575,
682,055,968,208,872,691,374,382,371,544,659,820,320,375,184,301,906,596,701,
533,628,214,609,494,587,865,903,789,964,936,416,084,943,784,086,768,013,031,
125,588,048,480,859,011,625,762,932,830,038,945,085,492,623,217,720,863,932,
208,829,101,167,624,315,805,433,630,923,116,906,642,250,682,662,083,376,420,
363,807,649,929,867,466,949,401,416,689,542,120,276,326,364,955,903,789,690,
347,052,422,663,551,915,350,159,521,315,953,643,349,294,030,892,012,971,807,
401,182,748,308,794,688,821,132,198,014,974,507,810,576,970,835,717,940,867,
240,490,239,301,217,981,031,720,592,192,605,385,363,881,134,497,106,820,306,
794,059,536,915,648,601,645,364,581,870,385,359,177,528,496,986,213,299,691,
621,928,978,447,333,559,435,783,216,391,327,886,865,555,434,697,924,366,204,
219,231,923,902,336,520,476,835,757,558,227,563,327,131,469,317,974,795,485,
650,366,907,373,126,017,474,894,119,754,636,952,040,621,909,502,878,915,665,
175,449,042,778,313,616,397,383,208,015,832,505,338,419,679,542,347,027,969,
829,723,199,602,929,453,329,835,855,641,850,675,228,244,207,133,656,314,675,
333,981,247,753,382,029,487,841,950,124,909,085,524,170,942,152,518,204,596,
058,107,184,210,014,833,421,946,983,963,389,036,396,412,574,519,089,839,386,
490,514,002,891,595,655,088,567,840,299,773,000,917,444,528,852,997,829,073,
762,558,472,863,728,337,095,127,115,252,642,281,456,276,049,547,264,553,552,
252,400,092,339,014,548,457,105,012,189,592,907,070,454,157,719,818,390,859,
185,557,865,682,900,334,338,261,178,161,524,748,454,983,966,719,955,693,129,
611,105,179,538,143,632,123,773,903,919,304,736,806,948,717,542,661,539,039,
395,249,477,737,465,055,334,952,790,860,127,472,416,726,769,432,021,987,904,
211,692,415,963,840,861,031,446,921,223,458,620,141,781,993,023,565,892,921,
172,786,790,953,641,848,970,218,399,756,331,656,922,672,560,054,054,538,134,
682,266,276,887,933,001,588,738,459,981,307,836,974,698,210,492,728,463,417,
302,264,616,651,158,255,980,626,779,328,985,654,992,551,531,462,618,193,229,
746,528,393,865,782,193,553,251,357,709,694,711,351,018,063,280,958,610,373,
673,647,348,647,934,565,225,395,936,968,678,554,833,092,618,127,210,745,878,
616,173,675,522,197,088,320,987,826,301,408,370,436,435,805,610,973,990,076,
213,334,483,040,164,580,597,112,580,043,952,615,479,013,408,856,106,453,294,
085,007,044,770,073,396,214,930,071,663,197,892,602,494,071,615,736,989,867,
237,826,226,777,025,782,147,480,894,601,790,984,753,967,345,647,168,135,708,
123,831,668,542,730,428,319,501,174,346,281,268,956,813,991,217,532,494,795,
460,786,875,175,789,896,990,111,343,041,515,431,549,364,169,838,148,271,729,
790,818,175,800,521,611,454,370,742,695,754,484,641,412,254,235,266,428,008,
691,701,691,251,047,980,185,423,282,652,116,690,852,871,360,947,678,802,322,
748,236,452,446,162,739,334,610,268,420,672,986,709,203,584,361,681,136,017,
403,919,492,460,091,856,468,829,469,009,354,735,382,124,398,096,907,464,683,
882,761,758,200,411,921,527,595,145,778,442,681,196,276,723,308,042,361,803,
793,280,414,201,562,974,325,760,232,898,199,040,932,977,379,063,710,841,267,
479,239,201,795,647,879,087,204,816,018,820,837,850,734,487,066,199,375,719,
058,023,484,701,205,698,098,312,915,330,704,936,058,716,148,957,150,386,933,
891,305,704,103,735,358,254,837,098,808,798,885,918,907,726,416,718,567,944,
651,790,392,033,810,235,523,056,947,169,745,456,880,063,150,847,843,762,748,
688,360,718,062,992,778,662,649,937,977,468,440,110,143,860,268,428,307,685,
918,427,809,522,964,406,865,105,902,423,519,245,779,341,163,560,769,018,426,
711,002,646,736,242,265,705,606,645,560,272,332,169,851,951,808,197,182,852,
697,799,950,520,323,972,234,706,953,922,117,231,175,152,156,638,508,078,345,
206,531,640,841,973,625,117,078,723,467,013,232,845,232,213,081,854,067,293,
393,841,764,009,584,464,992,919,003,420,273,454,868,151,474,165,792,379,597,
075,711,086,270,006,331,500,757,063,611,678,475,248,175,215,979,749,170,570,
673,230,128,099,772,563,582,624,178,566,134,722,438,798,460,825,271,403,297,
550,787,901,124,482,882,162,898,240,414,786,866,963,056,531,499,132,288,233,
502,977,280,392,444,374,077,807,433,601,872,057,041,339,171,951,756,156,332,
953,529,656,811,222,246,077,893,524,332,154,571,963,064,689,159,338,905,766,
714,287,317,956,938,667,422,753,333,109,513,238,594,699,782,578,463,310,555,
352,790,681,403,720,867,351,973,205,240,421,382,313,616,505,520,065,177,943,
646,862,115,656,695,066,946,719,846,886,140,238,118,568,278,765,215,670,158,
830,995,950,190,129,310,339,434,098,152,550,446,216,231,625,877,654,925,693,
442,187,030,922,069,884,713,315,442,238,151,775,470,557,316,839,809,415,948,
573,416,061,718,783,921,304,492,543,229,059,829,139,085,297,245,206,628,182,
531,489,689,541,908,761,871,932,463,579,484,784,232,331,693,331,644,644,703,
996,852,816,658,230,943,163,078,131,090,332,878,905,099,464,752,729,088,510,
640,257,195,584,182,937,705,599,572,000,046,695,997,979,743,604,226,761,606,
733,654,767,863,702,563,532,735,900,522,267,281,472,477,021,875,032,157,437,
113,703,035,122,621,127,320,543,197,813,997,742,534,759,172,323,679,464,496,
536,688,721,329,869,322,514,509,411,888,773,526,235,193,033,677,017,525,329,
494,473,574,039,577,834,521,870,740,223,232,288,587,119,776,740,461,158,243,
457,054,814,425,414,512,277,607,795,205,124,313,756,142,491,569,176,245,733,
480,608,742,626,296,237,232,390,270,493,390,179,568,822,038,110,202,361,316,
202,623,603,953,051,879,199,075,255,203,510,074,948,809,520,104,721,792,041,
663,791,033,988,144,224,361,225,891,580,951,245,653,152,014,505,805,580,084,
463,463,507,520,264,386,084,017,693,995,919,982,737,440,739,067,121,962,849,
566,029,257,193,902,736,330,818,552,155,593,252,390,512,187,170,782,940,072,
291,747,829,931,927,934,421,718,832,425,317,257,845,831,548,486,001,194,316,
777,403,945,724,757,582,893,616,006,800,514,164,391,734,382,828,990,239,526,
464,934,201,851,438,587,394,977,197,287,188,190,945,797,214,973,280,160,035,
328,028,901,331,869,366,356,598,323,042,331,171,473,626,649,475,296,423,914,
349,117,337,877,050,902,691,866,165,689,231,989,070,499,664,831,488,576,805,
848,945,578,545,122,662,098,192,810,029,232,187,912,166,828,582,943,702,836,
567,326,591,567,543,304,067,622,188,982,680,096,795,712,229,061,230,881,793,
374,778,242,857,150,467,678,588,414,448,619,558,681,518,658,322,822,145,767,
352,286,754,312,431,574,958,804,849,598,119,546,843,969,745,277,748,923,964,
053,646,578,793,761,086,481,262,555,489,720,812,618,765,719,695,275,650,149,
470,606,729,361,374,083,900,133,180,704,422,664,522,181,009,044,865,926,475,
766,248,637,432,972,567,832,431,824,696,109,641,320,422,635,113,442,823,000,
829,006,799,401,716,661,100,068,379,158,067,760,916,849,301,323,715,809,063,
928,675,614,787,983,495,080,075,832,893,368,392,661,094,283,119,008,890,317,
411,116,741,036,739,785,950,845,247,824,335,498,413,424,438,515,247,057,591,
954,651,564,708,329,783,084,424,719,407,240,590,538,819,789,807,735,609,130,
233,048,168,197,780,565,451,671,327,377,569,679,259,371,862,916,549,547,455,
184,140,232,381,131,288,872,664,108,766,456,814,029,873,099,454,701,422,703,
084,618,317,049,885,243,326,478,622,285,986,810,487,772,990,231,321,259,463,
868,768,954,532,013,792,959,916,415,530,504,047,937,041,614,616,928,891,989,
571,894,815,088,778,582,251,287,421,188,779,127,766,973,912,382,638,137,723,
769,228,703,241,556,629,691,570,890,428,654,226,310,234,451,328,581,764,826,
506,095,040,576,775,939,861,926,505,480,193,125,535,923,326,113,935,420,050,
081,572,022,559,977,168,267,213,306,665,186,144,594,941,694,320,002,501,085,
017,262,810,329,660,647,858,858,809,900,107,543,714,431,854,197,202,400,103,
073,163,665,888,393,482,732,435,164,422,235,096,896,778,543,794,531,311,295,
722,915,153,978,470,695,154,971,824,874,821,902,515,458,411,885,368,723,290,
398,991,316,137,498,910,960,774,519,139,298,131,785,894,561,758,952,562,643,
692,587,217,415,268,741,144,113,178,301,591,959,292,227,753,347,756,155,225,
012,493,359,308,973,773,840,604,003,341,798,293,644,355,691,350,158,576,490,
053,794,435,718,376,413,565,785,770,729,255,211,329,459,401,983,665,302,234,
063,739,320,956,084,969,205,531,953,540,099,415,916,269,151,449,647,307,455,
990,302,072,415,628,456,444,216,487,090,857,597,334,831,112,354,827,500,937,
620,513,942,285,560,105,374,717,667,364,037,651,214,774,517,656,005,452,094,
112,397,745,146,389,058,643,157,300,224,157,615,098,659,138,686,878,637,150,
780,649,168,786,184,299,236,868,363,464,413,439,330,887,550,124,726,549,583,
176,031,262,747,709,176,348,707,173,612,181,510,851,823,439,251,921,610,825,
238,033,253,897,265,604,543,868,438,390,654,454,410,518,617,142,766,841,877,
201,117,073,894,393,514,242,617,677,967,741,104,866,644,709,800,446,521,963,
075,555,925,361,312,049,419,690,327,959,398,834,132,913,684,396,794,456,325,
798,671,788,774,143,020,573,572,487,477,742,563,594,550,295,929,503,625,124,
930,697,580,924,706,116,699,356,071,049,488,471,567,710,853,195,426,041,566,
420,562,553,805,796,945,118,005,221,854,108,167,414,498,971,126,406,113,187,
943,237,179,388,630,325,712,533,694,508,545,121,688,623,825,586,841,570,384,
444,454,246,706,158,528,429,918,661,814,350,471,144,455,847,017,913,780,433,
846,501,331,102,151,204,673,768,858,354,266,039,601,726,695,996,758,351,850,
534,009,983,683,342,683,335,504,496,748,938,663,047,577,469,578,061,830,936,
590,605,935,197,468,726,223,427,333,348,506,564,737,523,849,714,414,666,146,
090,911,278,173,775,909,522,624,448,200,037,702,601,869,133,918,836,575,056,
885,887,294,221,126,356,326,467,353,117,271,515,498,394,776,158,109,829,926,
922,843,685,845,655,708,641,641,043,632,136,016,174,065,252,059,471,474,688,
734,178,723,977,672,855,707,780,994,423,915,983,371,400,494,099,172,115,518,
749,447,344,917,438,160,792,760,057,511,256,535,479,129,841,686,419,378,891,
928,248,551,881,889,502,621,719,816,076,531,709,514,040,149,271,658,178,246,
479,421,775,793,411,385,528,288,306,429,549,347,643,597,699,882,533,175,676,
387,832,027,046,600,187,031,960,061,861,225,961,919,404,903,762,708,684,938,
852,603,563,458,241,021,040,942,852,169,657,339,993,640,230,018,010,717,219,
803,034,549,047,344,293,817,009,621,584,264,955,898,807,248,262,746,687,931,
963,234,214,007,127,447,026,420,282,430,286,259,408,071,868,028,243,079,089,
150,080,312,819,706,121,499,973,503,611,683,840,384,975,692,102,786,678,981,
771,239,951,036,198,626,096,495,686,562,224,608,707,931,429,978,363,839,743,
390,448,343,157,354,645,475,395,647,172,733,789,003,845,428,236,520,659,864,
636,231,586,196,426,224,582,585,246,565,466,623,091,364,781,417,125,431,028,
267,065,243,684,527,723,278,978,568,135,006,766,551,190,648,682,682,539,847,
832,356,566,548,817,198,148,609,104,354,123,115,613,806,426,553,138,330,765,
039,413,083,208,852,267,001,265,302,990,191,211,929,168,632,090,478,800,539,
568,431,176,929,812,210,959,393,534,084,818,175,893,046,588,937,043,351,654,
935,695,564,474,955,023,074,069,959,922,476,165,823,117,996,239,953,001,482,
903,378,059,647,750,022,830,056,575,352,647,065,264,119,503,215,441,212,750,
347,171,224,388,536,299,933,641,977,182,368,910,879,257,082,057,626,192,839,
681,582,490,232,147,129,511,753,162,405,982,751,851,998,614,245,018,415,541,
318,616,581,649,244,672,558,020,344,835,607,054,165,279,141,853,535,296,267,
954,885,326,947,780,486,431,744,296,296,634,690,756,995,102,786,457,100,145,
229,345,353,678,864,519,743,989,176,205,590,699,874,523,087,748,277,174,962,
345,116,982,347,119,580,647,478,571,943,488,853,948,731,051,389,423,670,647,
431,245,887,619,925,519,827,136,676,953,946,253,285,654,172,615,323,019,431,
377,082,741,186,432,741,457,752,012,594,132,092,335,238,288,116,027,596,746,
630,080,314,543,101,600,982,553,287,713,058,118,628,714,038,142,288,023,409,
171,336,091,633,837,634,709,231,887,640,182,755,939,330,266,924,619,541,035,
120,817,540,195,494,362,512,166,092,671,816,075,653,701,587,375,068,798,298,
044,854,675,476,694,998,591,065,981,172,832,634,384,161,498,089,492,843,086,
047,672,357,478,128,975,917,201,212,443,521,495,199,005,901,369,483,467,446,
044,766,112,327,413,468,418,813,539,381,351,560,887,997,058,961,874,975,259,
071,749,426,065,232,369,749,243,902,948,851,569,086,353,380,232,715,314,520,
228,824,076,559,424,185,947,556,859,747,760,435,291,411,066,454,311,904,166,
882,203,961,609,571,553,234,613,530,490,556,329,809,130,027,776,727,786,493,
504,641,335,261,927,078,472,715,251,226,153,326,361,415,712,231,132,073,071,
660,523,633,969,385,102,576,595,110,832,941,277,480,585,741,554,912,966,943,
900,256,092,565,943,425,573,895,336,621,171,350,579,404,449,952,303,977,883,
299,436,789,488,696,293,389,269,486,725,349,666,915,149,126,793,062,365,240,
631,272,657,434,961,093,768,163,947,197,021,071,826,392,886,317,190,410,731,
187,914,729,563,692,205,109,248,630,138,247,643,971,046,926,280,779,255,262,
254,767,547,239,148,629,579,306,829,301,122,109,754,602,241,786,886,640,077,
894,414,292,586,201,694,829,176,359,507,222,568,061,633,565,705,191,721,981,
595,254,338,142,208,157,743,865,208,695,046,632,078,899,753,057,700,566,211,
186,802,457,236,514,674,361,242,614,134,581,468,696,574,939,960,931,654,161,
984,756,071,351,561,057,081,241,507,895,429,683,698,996,342,076,920,659,310,
032,877,039,882,705,432,015,959,001,045,156,991,450,010,499,705,291,565,398,
108,767,311,068,326,007,185,289,292,772,956,176,849,462,067,497,693,231,262,
515,818,136,466,366,397,456,502,838,921,747,581,260,153,987,457,403,314,264,
973,391,575,787,807,179,170,994,571,267,676,641,207,825,887,336,235,236,190,
126,997,131,631,361,991,190,715,805,649,471,144,110,147,291,596,213,790,520,
597,097,654,696,768,770,797,111,676,064,904,534,160,109,244,933,289,174,829,
812,305,021,416,651,136,821,390,471,124,647,705,109,935,168,274,299,983,193,
678,706,243,119,401,983,288,590,440,992,117,674,502,492,681,645,212,954,446,
979,246,477,773,138,157,040,036,427,935,554,798,708,881,377,951,364,075,016,
586,461,531,058,696,925,676,202,426,947,910,284,021,776,653,280,019,342,831,
724,691,129,103,842,578,312,413,899,174,757,929,782,725,361,961,197,601,570,
315,960,780,770,296,444,407,475,698,310,872,232,201,830,367,479,060,322,396,
308,290,734,464,789,305,091,101,939,335,875,222,786,721,533,368,987,796,267,
701,321,457,686,383,117,135,460,500,265,293,051,143,423,888,864,099,879,809,
761,368,697,190,666,789,127,470,648,243,059,757,428,135,632,093,882,566,969,
561,214,970,455,009,216,417,834,204,103,064,334,892,116,639,247,460,783,656,
911,197,657,502,955,582,430,638,532,491,454,218,710,653,934,005,219,695,370,
020,485,201,971,613,718,759,404,167,984,011,052,259,407,628,431,637,254,733,
869,324,842,218,073,586,213,674,677,865,029,293,950,979,681,685,986,179,191,
734,816,990,567,095,196,120,575,256,079,354,052,213,817,853,391,810,316,689,
904,981,708,659,014,315,684,147,575,643,905,202,657,161,518,302,990,414,233,
122,768,098,475,441,916,369,007,112,630,315,077,231,955,718,915,948,360,878,
695,081,203,217,702,450,576,881,854,148,200,311,000,973,518,850,920,562,613,
775,137,482,003,661,037,927,623,198,358,742,096,983,830,182,316,819,009,486,
626,031,252,928,425,255,873,839,388,450,193,595,891,389,093,453,613,979,451,
889,611,224,084,607,701,610,951,487,102,649,283,579,099,123,657,480,995,370,
771,790,345,611,802,248,248,188,277,360,865,068,650,746,921,031,113,625,491,
957,373,537,411,288,606,379,238,726,769,608,315,619,047,858,923,973,056,377,
497,633,409,356,997,740,970,841,092,642,565,486,929,758,595,030,976,848,381,
534,426,699,799,533,792,380,736,930,322,855,733,460,381,341,208,368,934,086,
290,281,995,535,929,163,183,931,585,804,118,352,197,362,368,076,681,827,002,
483,899,798,711,963,664,419,395,355,965,328,197,378,673,691,547,657,813,539,
365,360,584,151,971,712,274,711,026,929,322,953,912,863,300,519,097,700,277,
538,164,982,096,744,615,632,512,166,714,102,460,670,518,373,318,890,008,182,
072,425,840,081,314,716,838,368,612,820,617,989,949,901,451,795,953,094,086,
349,637,960,614,016,923,003,107,329,672,518,359,883,520,614,226,858,829,932,
733,179,423,682,315,228,065,139,957,859,892,604,477,966,650,362,057,496,829,
808,503,598,617,534,440,417,233,644,629,380,394,303,461,322,662,957,696,408,
303,858,173,977,869,243,953,229,419,633,256,839,948,295,824,724,489,164,718,
130,014,816,945,216,837,899,038,849,022,331,356,330,985,208,454,500,952,425,
450,045,576,241,302,924,231,412,592,388,794,668,566,716,045,127,974,490,079,
962,372,967,544,758,905,633,794,507,688,769,847,513,923,765,327,480,946,650,
148,753,376,651,228,956,412,386,105,045,298,726,763,954,535,122,130,560,393,
870,778,580,652,853,127,676,851,624,623,231,808,760,081,847,934,736,830,350,
847,809,396,559,782,965,781,360,516,599,457,139,043,891,896,942,084,756,149,
404,557,445,059,190,970,345,683,720,465,543,774,959,631,407,825,117,839,467,
836,262,429,582,185,098,236,754,095,425,271,403,734,796,800,684,174,375,398,
692,912,888,209,403,917,171,509,217,395,286,063,612,794,418,796,094,135,342,
426,857,843,179,990,117,160,212,220,679,455,474,930,684,175,509,538,103,217,
319,455,411,881,440,840,174,597,734,577,628,646,794,140,198,905,899,129,658,
725,509,599,736,854,253,271,458,067,804,964,495,793,720,886,345,981,652,123,
304,090,861,556,443,181,010,147,030,237,532,961,810,343,875,351,437,650,247,
157,109,116,703,910,043,559,894,744,069,283,454,098,869,035,176,370,215,630,
830,912,688,493,687,391,086,185,188,411,760,832,857,079,447,691,626,946,214,
262,965,559,084,863,711,470,969,802,815,869,366,499,074,500,242,745,805,645,
290,966,106,773,132,235,378,076,263,928,226,578,020,637,286,898,369,242,490,
766,725,760,992,717,306,410,992,225,441,120,982,608,667,612,593,431,430,862,
430,564,910,743,750,388,386,087,524,712,155,213,070,462,876,331,979,543,033,
909,017,270,314,300,462,788,290,368,004,230,756,471,686,017,045,031,815,357,
825,625,499,570,202,260,389,084,723,384,583,649,211,670,719,889,322,197,157,
172,291,483,519,473,095,882,048,651,707,014,260,811,348,996,013,996,658,676,
632,697,679,063,518,284,893,144,331,941,135,156,636,464,815,023,007,843,531,
903,057,888,971,822,129,970,009,848,198,117,158,309,241,473,043,835,355,777,
016,626,228,208,207,601,788,361,768,807,883,563,591,851,526,940,006,543,928,
997,679,537,567,283,290,924,387,123,263,974,887,474,663,092,100,668,678,543,
928,835,324,531,132,335,599,713,039,432,921,079,327,045,676,140,873,972,673,
366,818,577,601,492,101,524,799,316,985,531,501,470,151,489,639,094,755,863,
045,039,019,978,222,068,847,335,464,782,458,718,314,608,729,528,666,894,688,
986,248,911,427,895,932,649,174,034,205,330,218,477,426,596,634,428,696,852,
653,658,147,722,081,201,727,567,959,381,971,284,875,091,315,170,836,168,219,
840,646,686,161,565,394,851,534,169,403,322,080,228,044,544,331,309,124,111,
004,769,349,021,737,790,818,668,820,265,866,684,948,534,096,211,695,565,207,
406,145,543,904,729,100,670,748,474,594,557,065,873,036,233,123,493,570,654,
855,934,743,376,493,014,325,085,661,257,580,599,526,960,074,540,527,803,683,
031,621,415,386,577,266,537,461,026,674,719,956,162,590,711,633,701,292,057,
256,007,812,791,838,021,159,132,138,778,314,069,591,609,593,595,075,389,908,
752,831,690,280,825,407,707,362,338,004,824,725,973,841,395,703,818,148,355,
187,396,561,916,437,834,023,962,434,220,110,374,149,130,001,462,924,659,191,
486,375,972,131,901,048,725,196,682,084,447,606,533,117,678,108,145,571,179,
126,809,579,829,109,156,534,242,367,818,065,859,992,725,377,482,517,439,839,
977,962,036,316,760,930,474,399,580,876,191,350,375,342,559,921,278,140,329,
456,544,030,466,549,282,159,362,529,888,503,799,295,028,482,438,058,788,203,
395,734,267,500,349,870,081,679,974,703,518,806,146,560,510,789,581,578,641,
302,354,925,724,194,890,441,676,758,159,045,177,270,724,949,728,565,026,968,
578,858,758,547,020,153,829,904,978,000,677,710,470,347,299,332,773,673,924,
121,780,298,608,079,281,275,410,444,308,813,296,590,826,078,754,384,319,262,
461,418,512,848,002,735,894,539,782,538,848,218,567,996,284,004,863,934,864,
766,014,024,859,206,872,834,484,791,931,220,578,801,507,064,327,196,403,074,
367,896,526,324,788,320,479,416,537,304,250,765,908,812,561,511,752,734,609,
734,998,654,499,086,770,172,406,616,834,439,624,396,271,974,681,187,087,778,
731,702,476,449,940,257,580,517,953,936,685,813,294,481,443,745,631,230,907,
949,834,692,740,376,963,334,627,058,228,940,672,075,733,657,406,886,617,661,
015,933,020,302,729,886,111,758,807,989,804,500,321,443,088,071,903,673,689,
682,462,817,949,032,875,247,843,908,253,598,036,806,366,640,633,370,641,069,
629,335,924,905,045,039,682,027,133,090,484,344,490,052,538,487,003,510,311,
855,673,042,690,343,740,843,276,450,430,580,954,684,198,677,185,616,358,591,
803,489,819,301,637,174,696,054,600,841,488,133,784,717,380,592,480,024,564,
591,435,408,106,899,567,968,608,824,669,209,753,841,736,296,159,076,269,382,
897,707,386,717,077,493,379,658,850,438,867,939,688,852,686,220,929,420,084,
294,768,287,906,704,897,712,324,120,717,442,378,167,394,468,744,186,512,810,
299,576,578,290,243,760,327,199,259,727,153,707,778,127,563,662,387,003,668,
521,123,750,735,710,507,657,200,553,998,768,024,578,799,921,044,538,919,483,
724,025,079,784,110,053,518,811,407,490,436,260,983,452,575,850,244,932,715,
433,955,809,130,353,337,932,435,356,122,468,301,929,866,683,345,526,676,818,
538,001,564,278,626,071,678,897,061,563,659,092,083,819,430,734,826,783,939,
762,610,461,095,494,514,663,625,177,510,010,419,843,174,827,457,039,547,134,
893,116,789,763,290,233,554,846,480,494,629,044,138,011,428,765,559,958,119,
612,480,363,062,586,287,666,419,465,034,759,637,053,324,453,099,386,781,952,
646,450,729,336,133,760,995,789,422,025,079,622,933,924,784,819,453,195,404,
557,255,074,763,164,270,528,651,163,388,358,137,983,031,994,506,077,548,603,
791,456,347,126,047,122,221,483,000,978,325,623,379,650,087,638,043,114,832,
047,708,460,211,051,780,179,564,969,531,727,928,450,509,325,297,187,642,864,
244,451,530,406,106,983,618,503,970,562,368,194,111,099,103,850,877,712,319,
317,450,829,451,928,044,662,826,570,197,915,449,365,842,676,563,404,719,323,
905,100,038,732,539,267,067,076,899,011,249,644,844,274,578,220,473,616,066,
027,854,428,819,534,985,784,654,154,233,486,662,363,186,832,247,318,752,715,
829,985,133,012,086,151,096,858,172,169,443,513,386,956,360,803,793,063,585,
965,713,197,053,912,074,690,692,090,519,459,228,328,604,814,400,909,792,231,
210,713,452,566,946,274,183,064,434,999,384,886,665,045,341,653,843,761,814,
051,400,846,481,924,620,957,163,654,998,722,919,764,328,043,692,962,596,848,
432,696,133,910,466,986,982,331,660,937,992,227,671,523,085,111,431,987,958,
487,041,160,144,471,227,352,763,951,692,276,371,589,462,775,172,893,963,436,
620,691,575,891,095,999,103,921,830,316,263,806,378,455,646,851,605,752,346,
558,897,713,552,417,498,466,476,236,344,796,120,083,982,569,476,944,071,349,
055,071,258,795,090,561,277,982,980,413,763,845,660,663,800,480,275,301,193,
568,333,487,883,178,689,538,315,674,690,207,718,553,763,093,646,173,361,204,
264,379,467,927,824,573,649,981,054,309,777,030,614,538,115,773,669,992,565,
375,277,556,704,593,728,066,637,648,019,843,096,739,038,618,173,894,799,694,
154,001,798,110,572,363,074,970,923,801,027,458,275,576,913,962,558,093,581,
992,059,418,825,999,662,319,840,629,569,888,844,900,972,105,137,829,937,104,
815,777,403,815,698,401,088,237,987,075,425,604,533,749,074,865,558,105,051,
745,160,237,878,668,232,386,372,282,620,670,655,859,420,620,111,989,082,072,
916,750,143,793,272,503,919,836,704,644,156,955,726,483,534,280,927,692,929,
531,360,324,948,307,928,820,139,662,269,085,159,649,506,808,297,311,355,942,
413,064,038,642,718,912,921,035,859,162,439,132,413,911,084,260,863,994,129,
962,884,461,961,030,987,110,500,971,929,555,351,299,291,224,563,580,164,142,
572,159,853,389,549,742,149,429,144,267,925,141,697,983,066,333,409,834,437,
976,262,502,780,674,761,568,863,712,781,858,412,966,439,147,638,328,704,849,
118,409,353,454,394,753,971,237,188,734,844,216,703,915,953,680,047,992,544,
666,119,809,411,371,691,102,210,374,665,364,516,238,263,249,894,898,915,180,
327,794,765,998,411,763,995,649,385,891,760,153,265,535,657,530,858,498,283,
952,779,814,995,745,257,214,582,687,641,285,772,194,191,439,107,196,928,798,
728,527,652,559,079,245,620,655,171,321,437,739,147,129,400,246,068,798,428,
060,961,263,588,208,017,804,342,480,267,375,788,728,732,849,646,585,734,456,
207,052,273,992,158,250,576,628,235,554,878,981,481,358,697,120,662,106,414,
501,881,097,216,737,232,440,199,771,379,576,363,453,688,921,299,674,869,278,
738,999,853,005,598,622,575,897,321,551,915,204,775,162,042,741,669,856,163,
595,240,698,168,120,825,773,060,257,580,304,397,150,198,005,112,660,241,349,
618,107,293,113,827,129,271,075,791,774,334,840,800,369,753,604,249,120,454,
587,253,426,197,896,938,341,287,926,603,077,119,141,213,687,034,217,915,289,
676,065,008,921,543,558,838,907,173,728,764,082,670,926,261,758,810,734,470,
880,173,115,804,643,068,839,578,820,070,743,230,386,301,052,906,680,324,146,
568,375,983,539,439,232,437,211,223,716,108,707,082,586,896,153,155,341,531,
552,152,674,083,334,507,341,163,647,539,526,635,682,147,615,606,350,971,807,
553,135,101,471,010,420,861,487,336,452,136,898,448,855,037,770,906,262,103,
327,278,381,472,803,534,427,373,429,823,585,525,171,406,987,348,243,514,927,
572,524,541,256,283,496,838,744,167,343,013,004,120,755,006,146,660,140,127,
182,123,070,342,867,309,720,451,620,253,846,299,338,291,422,611,251,393,453,
606,924,143,117,333,018,910,477,518,210,034,949,524,279,448,922,115,256,415,
852,014,772,946,110,906,351,196,837,910,676,723,716,802,596,661,333,588,923,
710,137,194,987,032,893,283,861,194,008,773,396,333,496,953,410,927,941,274,
060,722,268,502,331,803,845,297,163,140,360,943,130,631,952,601,388,274,159,
663,203,007,913,604,653,417,766,398,890,499,171,254,522,866,586,278,859,334,
922,691,921,576,816,021,136,248,639,459,802,449,882,921,781,346,258,359,583,
202,040,541,383,690,894,047,745,828,517,762,432,647,142,418,058,034,936,802,
069,001,971,186,867,324,381,826,256,087,878,837,521,677,183,246,882,256,989,
739,085,207,818,873,555,098,502,575,536,949,696,149,793,909,226,741,862,510,
015,962,183,762,522,246,820,736,763,381,142,161,379,782,953,083,882,517,242,
887,398,418,374,004,601,043,718,538,315,812,549,364,917,639,302,066,870,196,
894,947,755,466,600,446,448,396,605,226,100,779,033,497,913,023,076,390,382,
888,993,572,875,717,383,683,378,119,400,811,470,252,984,401,077,829,067,042,
739,934,607,491,844,433,162,920,223,069,901,274,320,730,962,185,956,335,254,
528,731,445,940,546,949,349,247,839,981,192,287,012,631,994,006,087,288,017,
065,571,903,997,941,791,506,311,910,111,300,667,566,782,184,846,418,797,611,
714,920,582,122,956,634,460,185,523,314,985,214,841,038,921,280,998,670,548,
520,639,688,103,339,198,371,071,002,593,993,597,215,837,765,766,096,372,798,
260,203,921,424,241,696,710,777,632,654,554,283,480,149,075,604,642,360,106,
375,743,974,112,728,996,003,299,184,357,415,985,491,630,138,596,700,300,488,
310,930,578,970,969,340,846,461,695,315,547,101,228,585,671,657,903,750,484,
556,279,697,394,851,153,329,721,393,969,562,105,588,976,783,156,430,145,807,
296,527,456,647,960,910,400,072,042,511,845,704,607,692,570,410,726,139,448,
879,484,736,710,764,299,515,102,320,002,119,831,277,047,866,502,086,621,972,
706,749,591,544,247,294,216,230,525,284,253,183,110,171,906,224,363,723,984,
189,966,672,266,646,430,139,240,466,488,594,832,902,642,701,845,667,488,399,
497,672,586,632,669,962,880,680,934,403,964,419,305,614,339,754,557,413,706,
492,025,567,567,195,234,559,345,215,491,788,293,543,931,459,644,988,620,600,
623,172,807,767,197,447,666,761,320,979,922,082,963,599,727,317,118,505,537,
868,009,846,040,108,754,554,230,832,120,350,058,807,708,168,078,401,849,780,
264,312,797,221,057,155,435,562,816,735,629,306,854,529,520,853,000,892,978,
273,191,445,796,262,606,292,431,799,818,964,912,091,225,412,153,255,899,775,
418,043,299,374,399,289,325,414,379,278,735,821,972,154,951,088,291,695,951,
548,428,043,163,032,821,642,550,833,385,923,018,018,767,035,222,483,114,630,
829,276,512,500,427,986,943,861,314,443,871,727,532,343,967,441,943,878,706,
958,622,184,446,017,535,939,851,540,095,476,563,379,781,054,199,436,866,275,
429,445,375,328,700,374,204,846,368,521,676,925,865,146,454,199,928,205,966,
658,762,446,198,054,215,441,510,905,910,279,834,075,535,977,695,061,731,602,
804,699,092,079,348,252,591,772,626,573,652,626,573,524,034,329,042,914,870,
146,158,261,272,582,723,655,420,696,490,346,150,978,050,897,236,737,629,140,
604,034,049,911,423,074,372,753,146,742,611,239,397,196,360,932,313,421,068,
739,077,938,712,132,166,558,666,651,035,025,145,286,789,922,212,512,733,824,
432,928,665,904,367,516,502,009,900,001,002,834,281,485,217,209,719,646,814,
377,840,829,801,317,555,206,866,237,748,290,427,875,336,861,311,976,378,153,
958,622,561,459,183,430,400,410,182,911,303,465,167,130,708,804,182,682,715,
408,882,942,847,444,493,089,650,472,584,704,995,585,121,345,721,712,189,845,
946,005,813,295,113,496,222,366,748,986,314,017,431,065,291,225,498,867,370,
225,737,829,176,822,983,003,274,231,193,773,389,454,318,083,959,965,338,311,
499,770,628,365,446,964,924,711,255,772,112,137,524,611,376,597,854,306,327,
382,414,711,710,922,754,534,057,393,898,346,998,583,882,660,580,427,123,412,
932,415,149,829,457,297,144,458,387,412,535,763,317,431,673,877,304,845,865,
374,465,082,366,879,183,874,523,506,556,756,633,623,715,948,838,142,195,953,
188,577,462,713,635,449,475,311,869,792,100,749,706,583,835,435,587,189,581,
706,225,526,554,543,118,676,213,751,078,125,226,029,366,912,281,762,011,095,
025,338,748,645,998,489,247,739,251,654,000,005,514,485,614,318,075,926,952,
881,184,844,515,410,635,669,680,316,787,180,712,466,152,982,302,477,315,120,
713,211,365,229,956,863,858,655,194,227,772,287,413,601,035,140,306,762,340,
180,631,441,165,596,846,752,818,079,436,099,697,263,382,736,932,386,346,607,
007,010,766,103,906,460,463,111,308,396,800,358,398,317,744,055,640,972,283,
000,584,296,370,462,419,262,104,764,285,036,955,042,737,581,150,060,201,911,
862,867,599,886,576,925,360,747,091,104,487,299,251,478,862,750,817,739,152,
587,799,721,273,923,218,815,033,442,057,101,245,454,232,104,630,704,965,186,
028,278,822,432,656,885,765,611,978,011,874,312,268,470,364,102,209,074,938,
614,895,900,939,430,385,758,793,214,181,751,745,575,530,201,283,069,752,031,
746,158,427,986,048,008,803,786,787,127,360,260,966,218,184,272,572,037,381,
103,967,547,363,294,369,379,076,166,649,577,111,900,325,716,769,156,328,743,
703,660,748,545,769,201,962,706,101,711,476,979,276,724,676,300,055,055,783,
850,395,497,294,061,322,139,570,811,492,162,829,138,898,005,359,168,663,996,
373,013,473,570,669,129,054,367,642,448,063,609,503,904,257,946,220,270,144,
014,043,157,633,949,380,710,939,687,030,181,715,629,942,767,636,992,032,058,
975,186,971,017,626,806,958,850,991,245,456,118,305,845,736,915,415,934,460,
572,047,459,242,792,301,452,067,077,530,527,833,355,754,110,174,934,805,150,
252,473,321,243,607,990,354,963,087,731,327,292,938,617,612,991,558,741,512,
822,994,707,666,291,582,496,376,293,797,968,143,822,896,700,945,920,947,390,
887,341,367,878,701,574,236,206,760,846,657,931,623,603,958,336,763,908,128,
576,474,257,569,451,736,671,120,166,501,483,867,448,315,707,144,173,241,365,
927,647,337,306,312,579,933,742,915,177,107,727,601,198,333,161,006,621,012,
449,059,826,999,280,708,745,337,639,349,790,845,672,195,161,394,232,411,411,
677,165,139,807,732,145,620,702,447,884,696,511,865,714,306,040,761,106,639,
782,736,139,471,816,172,856,953,452,129,496,807,080,791,004,583,454,062,884,
854,970,105,949,796,818,608,078,612,156,107,098,931,281,010,945,723,883,813,
215,628,952,827,375,264,228,714,478,463,362,928,965,168,298,430,270,704,555,
915,947,304,536,688,122,183,544,347,441,972,285,121,178,081,926,268,487,220,
600,027,295,564,008,133,514,084,494,388,494,407,011,177,141,635,714,695,424,
254,556,105,071,855,900,987,787,810,562,963,748,770,789,240,214,285,309,881,
961,814,175,281,043,670,942,758,935,005,326,105,143,596,680,071,183,627,412,
248,427,392,767,675,644,575,983,745,342,537,087,538,231,417,051,808,009,738,
296,617,850,342,474,628,780,895,589,121,760,429,796,452,825,748,178,634,965,
100,836,187,810,627,805,347,678,140,000,833,856,842,030,452,964,836,266,438,
700,099,325,304,755,046,174,297,244,013,406,455,673,589,028,940,129,032,573,
207,155,459,812,392,694,052,012,694,144,552,896,537,791,668,967,725,903,335,
441,308,250,956,618,346,692,591,012,244,053,897,214,214,418,027,120,890,260,
288,502,543,386,141,092,297,628,660,057,433,143,894,569,425,780,239,124,842,
601,523,997,788,255,230,269,935,279,772,155,402,159,923,119,231,401,006,260,
632,849,172,038,834,085,952,934,968,972,473,661,709,377,423,280,234,848,001,
065,640,897,556,885,740,435,774,821,527,740,956,095,496,284,238,021,959,433,
137,514,258,168,605,435,647,850,213,428,338,545,828,146,045,112,420,331,474,
493,871,002,745,916,880,864,561,526,730,205,985,195,318,561,637,549,271,626,
515,082,719,595,860,980,107,308,064,336,767,556,107,337,691,809,543,483,277,
438,285,177,435,890,354,556,074,562,093,901,296,880,946,721,456,223,056,771,
777,378,013,376,285,430,418,002,548,565,786,464,380,921,911,242,741,126,519,
263,738,259,719,269,239,151,544,224,814,094,315,158,956,620,123,277,888,409,
713,981,355,523,446,706,189,222,125,970,863,350,846,015,031,094,924,581,763,
984,751,384,604,109,187,368,108,944,915,883,105,403,108,117,672,617,222,402,
450,042,830,785,109,835,769,699,980,634,837,949,388,872,657,306,984,594,178,
291,331,285,483,160,577,619,632,849,805,315,089,605,652,925,317,964,030,055,
978,322,912,720,432,894,039,402,521,837,837,755,770,506,832,282,330,939,974,
639,041,770,936,906,509,793,707,824,491,458,210,864,411,248,454,454,314,954,
798,019,961,464,854,338,163,915,075,321,592,146,181,106,546,827,395,141,704,
138,296,616,085,676,096,663,119,491,863,545,954,891,598,171,094,445,191,464,
816,697,082,957,843,924,588,803,233,012,799,047,584,693,606,715,538,082,112,
730,642,134,724,985,420,575,931,040,428,149,356,981,864,232,250,436,083,654,
207,036,811,562,844,135,315,359,815,505,818,164,791,867,154,003,146,238,279,
521,604,905,192,444,692,010,103,760,644,603,935,277,488,323,280,687,023,178,
395,676,339,776,478,358,709,070,472,117,607,358,611,740,568,571,880,595,419,
792,021,934,514,451,495,785,639,966,804,371,796,224,647,003,737,345,526,582,
398,283,975,628,854,714,240,649,590,353,551,549,853,439,889,861,029,291,366,
772,961,839,018,434,766,841,588,512,627,642,239,961,221,199,913,963,755,467,
235,885,968,003,122,763,238,494,032,144,014,751,477,802,904,032,733,925,761,
864,022,022,590,952,077,209,969,304,978,147,037,042,150,224,159,871,108,511,
652,607,168,197,397,727,923,134,462,065,678,694,015,799,812,403,770,641,075,
673,508,959,216,232,807,219,849,627,150,916,755,647,931,037,114,183,788,454,
720,100,512,978,216,411,497,338,122,744,521,207,901,522,480,402,578,190,223,
435,797,367,769,385,602,177,747,699,710,550,945,909,304,745,126,573,472,520,
927,603,501,349,469,842,057,190,111,805,708,120,851,167,917,007,943,111,571,
621,610,933,144,021,003,137,703,028,973,052,423,100,644,751,947,203,139,693,
496,913,885,212,779,958,747,021,166,711,007,866,617,641,665,517,865,876,290,
070,991,388,010,751,091,880,538,783,418,806,250,738,884,218,012,379,691,821,
585,202,651,905,034,109,667,437,936,326,816,846,428,933,796,783,069,760,190,
960,523,790,157,684,316,037,881,867,894,192,524,037,938,220,968,995,785,842,
848,736,955,285,985,887,588,650,296,860,790,190,693,575,353,754,102,002,356,
291,784,159,279,127,135,652,275,420,465,600,765,117,360,731,578,159,047,809,
061,202,081,600,470,261,819,135,009,040,444,869,476,203,176,847,737,808,971,
333,167,931,379,530,156,025,832,767,038,939,046,638,333,197,402,092,430,924,
653,757,124,936,501,233,814,437,797,932,374,771,693,554,722,876,663,119,224,
889,369,358,530,268,373,278,921,988,177,012,588,351,233,256,111,488,335,622,
118,301,161,439,943,361,696,674,629,193,205,837,019,487,142,256,050,074,937,
543,163,059,924,102,000,685,224,708,634,369,130,076,977,160,112,379,409,259,
111,362,280,488,402,564,535,610,928,737,456,206,097,016,803,536,883,237,618,
902,677,547,780,906,050,027,358,060,052,376,452,343,337,558,483,758,763,377,
781,312,621,289,504,697,960,947,327,147,169,304,269,474,957,379,187,417,381,
847,138,813,866,093,440,706,707,546,448,242,359,461,254,884,047,466,955,011,
596,033,298,848,995,361,315,112,251,835,984,580,300,197,817,959,963,257,497,
388,301,619,115,656,075,562,328,235,147,825,817,508,686,912,507,669,228,502,
105,075,147,584,472,624,773,106,505,124,766,711,205,699,274,794,435,351,394,
581,944,069,861,005,263,827,399,638,912,562,851,707,643,123,825,727,180,345,
244,895,383,090,250,854,326,415,975,039,620,253,010,386,160,009,130,082,992,
462,118,287,493,917,524,189,727,892,885,477,427,898,916,069,403,780,435,939,
758,213,584,400,966,220,647,717,218,988,296,364,995,244,695,683,869,445,416,
607,914,863,720,272,914,022,857,568,172,966,652,972,942,633,481,170,588,302,
950,988,238,641,901,566,458,924,107,799,540,181,918,405,842,179,006,393,915,
929,482,878,018,396,387,397,257,544,771,804,728,183,556,231,019,704,565,622,
123,895,112,501,619,202,483,757,113,310,034,466,842,598,005,570,328,486,701,
152,112,888,800,555,733,190,256,491,401,492,852,199,525,162,575,071,298,581,
674,008,810,483,903,399,715,948,612,420,002,320,120,029,201,576,636,532,928,
147,010,885,592,374,959,222,401,365,359,133,356,077,775,460,151,465,978,238,
276,529,953,101,251,254,577,057,980,929,207,946,350,745,790,502,339,000,278,
633,824,337,788,735,143,030,598,886,440,353,996,733,799,770,662,608,570,628,
369,997,754,528,721,735,509,403,884,154,343,485,821,583,643,397,815,926,135,
423,847,000,337,338,313,245,064,071,456,112,388,412,695,099,891,478,158,533,
725,429,856,090,736,909,179,651,951,584,697,771,556,781,063,386,187,846,622,
915,512,150,601,505,051,836,678,083,246,984,271,584,957,701,326,358,402,353,
448,041,579,310,658,413,141,765,069,307,782,851,256,594,092,724,872,935,479,
534,841,889,242,230,044,341,474,511,169,056,815,401,771,320,890,507,411,217,
325,996,116,100,473,439,328,050,879,591,440,614,351,334,213,262,673,735,422,
941,744,893,904,910,286,310,058,715,232,913,097,673,704,673,176,441,129,472,
205,458,961,035,227,511,596,397,861,125,055,561,790,906,807,764,739,450,511,
191,751,817,665,417,640,677,468,199,233,665,101,230,715,120,081,938,978,356,
418,870,179,598,816,281,279,074,351,655,051,131,299,582,816,042,208,353,700,
256,566,146,142,905,057,581,136,906,636,751,295,277,111,989,130,620,903,113,
133,247,292,888,073,883,191,387,050,961,428,346,922,602,784,933,862,024,633,
311,614,185,844,468,306,832,501,891,299,563,796,066,161,376,127,318,702,256,
464,401,921,160,212,051,542,343,872,418,475,131,273,540,731,380,004,781,155,
813,425,294,015,949,226,464,816,464,847,551,265,189,192,656,299,380,550,419,
954,846,001,174,298,150,700,914,499,321,193,503,327,574,354,949,805,417,784,
292,712,049,945,085,980,313,707,879,836,665,758,240,951,424,790,251,994,003,
679,132,725,096,591,458,021,882,425,631,806,659,924,169,921,920,171,212,303,
534,321,969,175,810,160,604,484,882,745,192,031,078,752,912,296,333,321,622,
967,164,549,722,661,802,313,386,782,465,846,879,742,989,891,308,115,655,954,
915,903,923,305,251,408,759,686,321,024,681,382,820,194,154,468,321,491,173,
449,507,831,283,741,006,183,976,614,481,618,969,379,687,830,596,146,722,764,
777,393,962,674,919,825,311,774,603,222,058,596,614,269,674,036,810,205,307,
071,878,054,479,748,992,068,105,478,281,635,936,186,450,968,305,633,872,504,
329,574,028,537,839,010,843,610,463,492,318,205,512,012,202,917,903,906,921,
535,829,597,489,819,857,175,515,205,220,300,733,961,904,697,588,408,567,570,
870,913,336,857,609,767,166,426,068,471,773,530,581,302,023,726,517,619,258,
520,522,382,583,652,120,559,687,911,310,598,394,844,355,279,605,816,649,782,
206,808,450,402,053,344,560,131,368,604,376,881,035,271,879,218,902,123,127,
132,576,271,716,398,674,296,544,250,107,582,335,013,006,561,323,750,729,963,
821,668,416,833,581,888,884,460,890,540,222,365,392,756,952,600,282,445,510,
951,252,621,211,230,690,508,860,023,463,645,751,563,167,996,392,710,001,133,
811,343,934,665,294,482,328,167,207,076,381,719,223,517,254,892,881,665,819,
565,216,099,802,699,914,088,703,660,748,318,657,898,204,537,088,622,533,561,
338,491,244,784,580,063,144,844,059,547,202,696,211,051,837,561,975,022,432,
466,106,512,622,856,421,838,089,182,877,228,396,489,547,361,824,697,975,789,
038,936,141,533,230,896,591,098,844,339,730,245,152,632,194,702,298,970,870,
375,393,680,279,117,174,309,921,766,668,386,578,632,991,763,813,755,394,048,
864,850,563,416,203,549,631,841,647,947,270,207,235,339,481,801,097,033,271,
418,487,295,744,486,156,513,069,004,562,836,839,453,402,481,010,739,380,827,
073,676,530,158,968,927,156,197,843,726,301,561,753,284,938,047,571,258,011,
367,288,721,086,178,100,200,483,111,033,468,763,656,927,618,734,008,058,368,
300,906,443,594,705,721,668,406,205,427,107,299,211,749,489,161,673,749,315,
362,142,635,584,106,527,224,322,400,092,967,326,985,816,930,655,800,399,505,
318,562,581,809,995,048,489,745,324,590,150,910,783,160,862,721,909,015,868,
436,408,431,073,181,060,609,543,431,120,370,323,999,503,205,500,055,055,535,
460,803,517,785,929,468,122,242,757,901,281,869,310,349,495,472,562,683,192,
914,394,183,697,282,886,820,670,619,838,506,741,111,482,866,014,731,914,937,
818,077,665,074,721,150,546,868,186,723,846,269,866,275,417,177,649,575,984,
749,761,144,183,790,917,427,124,265,753,401,238,140,622,673,175,392,995,574,
773,534,961,516,254,898,726,428,568,996,490,035,932,107,511,450,865,055,016,
866,543,810,150,859,782,973,414,696,407,461,096,088,595,805,449,441,677,666,
481,990,573,470,905,829,988,045,617,466,157,058,185,856,415,978,919,020,153,
994,109,713,623,306,750,679,911,658,783,652,476,400,138,884,274,793,192,265,
997,372,044,949,484,676,678,104,732,984,774,953,371,872,509,646,006,582,998,
323,179,361,950,299,155,613,199,485,732,205,250,784,951,189,910,643,754,920,
666,833,945,429,326,908,017,258,425,843,350,589,767,444,906,394,022,392,295,
222,645,731,753,909,946,190,204,202,612,216,957,862,734,502,121,911,125,493,
189,472,716,600,169,679,699,160,157,934,445,750,503,169,880,615,404,055,477,
468,140,850,417,963,688,004,907,239,740,179,614,765,306,309,843,103,266,906,
402,627,254,204,976,390,970,054,171,895,511,858,347,690,508,375,924,738,658,
044,725,877,446,286,060,141,153,631,212,977,292,325,952,468,443,608,956,680,
169,720,624,114,762,348,626,758,866,735,046,937,433,285,875,576,379,078,567,
751,237,225,638,131,647,037,517,895,170,602,768,834,100,104,549,112,727,770,
871,620,175,584,800,165,228,153,069,527,344,051,235,808,284,452,196,011,950,
448,023,198,978,769,071,304,408,147,918,678,733,948,368,708,082,935,271,980,
563,198,247,451,305,925,130,443,806,373,436,123,666,409,706,723,267,453,989,
753,426,391,626,357,633,623,456,744,216,755,496,135,882,577,223,051,539,530,
248,894,505,306,836,886,493,085,086,748,643,530,549,152,931,791,801,565,630,
864,326,157,212,293,459,892,032,092,598,953,840,178,199,501,300,496,784,496,
259,947,631,738,066,196,518,479,837,545,211,732,459,653,115,763,323,354,430,
396,510,773,646,870,697,583,405,435,880,942,828,931,055,612,140,001,141,041,
510,679,737,784,612,431,895,906,733,721,904,848,041,898,981,174,798,434,594,
297,124,708,937,599,873,275,655,201,252,826,074,651,412,751,027,923,870,036,
936,465,241,215,681,972,003,392,392,897,124,785,419,482,220,928,421,337,584,
275,724,447,412,077,978,288,484,632,139,620,591,903,806,278,187,451,908,327,
942,086,652,186,910,262,458,008,327,306,004,835,081,822,567,819,852,231,216,
138,237,856,211,647,302,579,980,555,596,800,682,751,031,358,530,925,803,151,
098,644,378,399,377,084,837,037,240,322,093,703,424,459,282,607,589,324,433,
743,403,007,435,075,239,621,550,568,276,576,366,215,238,574,896,712,443,586,
316,112,133,884,354,220,784,642,767,818,476,255,140,703,556,154,344,592,029,
031,467,429,986,895,207,100,417,964,487,248,069,622,294,966,512,761,855,264,
546,543,456,086,691,728,088,386,393,018,064,301,160,783,740,634,382,102,263,
262,178,271,043,844,559,500,799,620,538,994,194,386,684,210,687,084,668,688,
029,880,947,454,250,687,600,547,304,204,473,651,234,650,665,321,959,347,529,
349,638,292,131,040,600,357,316,634,536,488,746,999,403,005,939,657,782,795,
799,247,991,224,375,256,978,048,054,898,558,530,025,913,208,374,385,741,534,
400,540,711,104,440,281,097,324,135,433,666,810,736,981,152,575,833,293,374,
091,517,676,684,300,431,126,346,141,668,292,631,074,495,434,406,468,590,873,
571,808,348,467,252,689,942,326,702,172,120,530,437,804,065,507,289,656,959,
993,016,566,953,781,563,394,111,571,360,288,517,505,647,645,636,728,938,042,
592,695,856,540,902,282,466,912,189,279,098,242,145,704,633,586,412,246,817,
965,227,167,803,774,622,313,213,070,176,160,219,134,239,289,114,034,302,075,
540,489,104,027,367,837,488,354,183,549,482,359,323,657,723,977,789,508,470,
706,654,255,242,457,633,916,909,231,192,291,527,941,739,763,408,377,683,403,
800,910,732,881,541,056,995,284,825,042,623,722,413,795,909,623,242,343,971,
452,571,605,466,960,518,374,839,958,242,180,173,535,179,657,367,088,957,767,
055,365,478,650,086,968,615,648,685,242,439,556,653,953,362,507,503,521,876,
590,214,475,430,090,477,617,197,017,003,037,847,990,605,830,219,282,242,035,
427,346,170,089,016,202,246,838,846,301,169,876,478,712,975,406,290,866,015,
660,701,455,421,529,935,686,074,462,342,164,333,056,512,522,207,505,628,008,
384,628,371,802,894,841,472,701,349,254,145,233,564,838,091,469,957,588,993,
739,794,766,517,231,206,677,274,286,706,102,974,643,249,590,533,425,238,988,
964,699,343,187,662,923,481,439,626,652,564,507,055,591,125,514,330,364,975,
923,332,476,400,604,133,205,656,932,370,539,101,289,359,990,370,479,532,912,
559,840,245,044,655,950,292,949,473,828,399,440,973,673,215,716,470,131,591,
463,458,559,766,553,657,094,249,020,005,573,270,684,198,171,910,792,445,799,
736,153,751,330,486,545,339,267,613,823,261,562,908,509,979,894,442,914,476,
231,691,553,738,899,461,144,689,277,268,980,813,453,756,067,116,595,184,817,
795,737,025,467,921,840,564,979,365,197,711,829,802,642,935,374,967,833,407,
392,535,583,639,625,015,234,559,380,889,562,259,256,440,610,517,848,322,234,
958,115,511,374,651,664,189,436,995,718,832,302,517,380,755,376,576,961,881,
550,635,101,499,094,648,175,197,314,962,204,516,050,576,845,209,729,925,140,
115,785,716,289,872,710,694,904,584,182,834,239,796,689,998,366,967,979,749,
459,906,829,665,665,832,516,909,792,920,933,841,631,247,979,317,243,855,716,
484,353,797,845,287,250,746,992,478,998,002,354,462,358,434,086,831,254,220,
622,262,063,825,103,413,954,898,861,929,983,290,638,685,579,772,898,825,092,
646,339,860,394,856,168,793,878,351,059,760,390,988,818,403,082,367,366,823,
964,636,845,084,278,503,152,811,480,755,409,782,832,999,636,259,034,164,005,
434,150,136,851,020,891,888,758,372,656,634,315,687,353,948,703,497,361,891,
472,554,178,579,767,535,342,243,423,602,535,941,569,228,090,762,745,740,262,
611,499,020,705,045,638,957,279,175,124,701,896,210,165,651,074,488,565,512,
620,486,737,613,409,429,867,606,192,525,481,385,017,857,049,771,972,894,455,
548,953,985,171,707,921,162,342,584,136,718,547,425,894,198,821,591,180,497,
952,907,949,790,799,926,848,948,834,786,118,657,744,118,375,717,649,260,351,
049,532,610,546,844,978,188,072,141,452,777,578,747,987,442,580,833,420,469,
400,136,583,137,751,990,819,225,732,663,951,887,973,710,629,901,106,736,853,
694,666,751,480,789,111,463,127,761,995,870,612,443,027,410,281,744,441,898,
224,672,129,867,972,006,007,780,399,004,390,821,839,655,296,197,289,565,669,
323,497,618,142,999,552,248,630,918,319,710,498,731,086,452,211,162,174,992,
479,267,587,358,291,440,572,235,452,489,573,991,012,018,355,382,153,036,838,
235,013,701,771,877,330,039,370,835,008,538,023,959,742,045,832,512,275,752,
288,821,288,379,202,091,118,529,081,514,334,416,586,648,257,288,431,248,335,
073,851,690,015,031,230,128,129,151,833,936,866,179,006,255,828,746,872,897,
311,122,054,417,325,737,599,263,598,803,546,647,802,741,414,200,755,764,895,
818,344,190,385,707,068,549,724,076,616,441,778,050,830,948,369,008,636,111,
405,628,922,510,898,589,908,619,779,738,060,705,957,709,002,138,483,629,240,
463,523,426,010,120,083,864,690,443,618,551,876,303,446,401,474,735,441,848,
345,509,613,007,292,461,807,186,820,545,235,432,892,882,834,378,272,260,813,
211,162,020,994,989,851,534,292,552,238,061,339,595,170,614,694,432,459,032,
194,778,806,322,145,468,804,093,267,709,029,229,785,847,335,668,509,359,690,
002,435,516,700,756,658,397,515,480,227,580,862,601,146,969,205,376,693,771,
636,439,912,135,317,064,731,140,440,503,507,083,571,192,969,053,962,625,482,
281,734,459,099,877,593,422,647,127,051,081,933,903,220,324,229,242,223,405,
258,983,519,075,512,158,308,003,503,387,365,129,326,615,893,761,115,622,214,
830,434,473,151,882,217,734,368,050,679,099,464,158,319,512,936,357,917,570,
461,319,397,403,651,421,180,584,528,032,675,566,272,337,639,383,566,043,645,
245,728,605,904,441,982,218,872,070,661,687,113,560,137,991,265,287,997,214,
270,800,899,266,423,266,480,060,346,054,639,265,597,685,899,304,029,008,149,
789,525,201,518,323,044,882,976,350,267,899,908,446,157,904,287,371,818,937,
683,688,412,024,873,383,776,998,168,370,826,855,717,491,037,094,473,452,273,
272,861,201,939,865,017,079,933,515,130,845,365,876,111,943,484,916,265,740,
930,702,226,049,181,430,986,458,748,749,319,635,795,604,513,791,622,344,217,
255,651,911,192,388,404,363,992,111,438,958,578,152,759,352,616,035,050,739,
579,376,322,625,626,853,603,186,465,454,912,658,783,190,394,574,994,434,681,
315,728,117,033,195,333,792,929,055,434,263,282,107,576,183,378,991,873,808,
006,464,510,026,008,366,539,922,688,156,026,355,526,739,501,991,177,260,444,
561,851,696,626,183,709,029,001,755,798,267,706,816,564,778,350,787,058,495,
680,583,241,779,691,524,006,229,278,206,043,309,188,460,357,522,361,807,433,
413,504,859,538,230,681,362,679,191,649,264,040,720,273,722,948,225,648,923,
629,882,632,312,344,592,927,258,046,150,922,552,940,353,207,924,299,178,277,
359,608,418,703,431,718,834,832,108,191,131,791,029,583,807,011,432,303,825,
686,977,668,920,052,870,004,883,234,745,912,802,699,597,730,490,446,797,704,
837,714,352,955,846,641,363,486,862,567,740,714,280,311,598,833,576,694,082,
583,812,589,705,348,739,351,549,937,868,856,124,954,102,837,084,469,693,674,
803,737,783,858,545,520,796,079,447,647,570,337,173,022,685,434,536,396,659,
579,609,133,793,070,878,654,431,757,179,877,374,268,289,617,348,126,326,543,
123,698,179,193,536,543,789,234,167,824,636,252,750,471,381,230,592,861,530,
287,330,394,097,495,608,031,537,861,924,995,912,641,123,256,735,645,224,086,
637,828,866,631,983,096,082,775,687,064,626,321,571,147,745,685,350,122,471,
398,611,418,699,550,005,896,505,961,306,321,733,044,332,806,242,508,297,226,
744,438,870,619,159,651,680,480,640,790,698,391,069,761,919,968,035,218,122,
544,091,792,624,206,229,518,558,762,385,143,839,431,201,907,567,447,990,111,
251,734,178,874,810,618,090,266,843,135,660,296,439,767,654,663,802,860,091,
227,630,559,322,964,400,909,553,509,846,790,947,557,887,576,151,235,461,218,
464,808,607,207,975,802,229,553,524,538,432,513,036,072,692,472,511,161,870,
845,079,710,318,232,869,514,209,143,250,736,588,865,303,168,807,717,463,704,
471,660,547,592,470,819,670,903,605,453,563,144,432,686,201,427,178,708,665,
481,952,927,779,672,808,797,307,295,494,698,622,724,644,798,274,366,798,502,
796,347,431,666,525,416,823,516,745,212,253,693,584,280,847,244,395,166,036,
243,130,579,260,955,620,629,679,450,045,969,088,322,281,235,860,142,728,178,
774,934,442,797,006,616,377,857,482,051,506,196,047,497,030,804,012,045,877,
790,749,356,067,333,064,487,315,865,688,790,923,735,111,831,304,171,072,712,
497,159,157,636,346,541,891,410,157,523,530,676,433,965,111,227,719,573,208,
054,336,605,328,002,124,763,178,515,314,183,752,225,272,553,051,534,920,287,
893,959,769,431,974,510,847,654,760,368,410,504,903,194,218,595,516,857,850,
446,192,913,555,765,953,423,869,673,028,641,004,896,089,805,491,502,400,762,
184,125,320,546,332,530,118,715,440,693,663,552,246,792,678,893,370,297,790,
326,925,405,586,372,059,275,749,655,387,046,481,082,642,857,968,448,129,343,
509,387,697,455,640,644,133,136,949,148,444,676,548,125,508,162,582,343,388,
567,812,590,982,204,638,237,701,677,616,120,489,986,690,882,454,519,026,410,
774,318,355,918,845,447,026,473,047,014,400,156,875,019,975,712,758,637,224,
512,226,768,050,825,356,696,360,343,821,632,492,477,737,765,791,079,025,668,
873,273,945,329,064,056,932,620,032,743,366,731,762,736,349,202,714,452,803,
561,927,417,247,808,917,019,774,106,626,411,903,658,926,350,986,634,350,045,
082,211,835,289,547,475,532,853,030,978,153,466,432,547,660,205,815,783,322,
666,481,491,731,850,392,898,286,840,563,868,151,054,731,818,978,893,031,277,
478,722,228,230,247,553,509,924,263,588,509,900,720,755,161,458,463,386,246,
407,702,103,335,750,797,315,736,628,790,889,534,949,047,526,864,910,331,002,
136,687,724,896,177,103,830,041,806,682,131,397,604,230,132,986,224,292,519,
801,672,486,007,968,241,153,415,560,358,816,872,760,917,501,487,402,338,440,
665,299,889,664,551,918,267,012,273,667,570,724,038,611,498,945,997,151,654,
063,575,202,623,222,605,321,597,935,430,664,831,244,461,553,458,827,445,520,
174,980,387,541,539,388,367,846,538,031,451,193,833,803,586,852,512,912,747,
068,792,581,748,363,935,146,980,924,872,194,322,652,872,372,901,432,394,223,
906,043,319,880,668,766,082,332,767,406,405,567,965,858,738,535,923,957,021,
178,348,887,010,020,036,818,207,508,860,459,197,600,213,039,474,785,467,089,
145,914,779,389,034,638,744,116,917,549,940,798,142,229,979,822,161,467,355,
161,995,775,781,112,658,625,313,587,989,950,324,316,650,505,024,170,662,854,
656,063,865,603,421,053,672,127,073,355,816,560,637,092,895,036,923,630,012,
507,810,559,933,565,375,966,682,488,984,244,477,137,258,996,627,348,901,429,
657,757,157,248,250,607,893,128,315,506,743,361,617,544,333,968,147,112,575,
430,325,198,097,787,949,650,181,198,748,305,052,034,369,836,828,627,892,463,
391,473,115,935,555,398,063,525,009,119,570,514,991,870,747,440,330,456,723,
591,794,285,512,347,240,268,455,590,103,146,912,318,027,126,089,804,829,353,
656,628,461,026,399,420,226,025,524,319,126,273,110,979,556,307,889,167,604,
535,874,187,206,405,055,962,327,396,894,468,806,225,345,956,247,048,479,911,
304,477,614,045,387,967,701,595,287,018,242,055,875,436,970,684,248,489,710,
760,888,858,470,201,374,568,516,751,810,478,795,185,254,558,391,955,359,575,
281,024,655,626,986,942,860,366,411,996,074,065,583,130,478,247,889,812,426,
109,042,479,267,231,340,501,561,316,743,186,935,945,689,398,738,302,141,909,
960,301,372,025,828,689,615,257,697,987,182,051,228,720,678,821,683,233,669,
512,817,216,501,849,204,352,998,860,656,454,377,295,700,786,590,264,327,858,
200,046,375,192,185,930,518,926,720,418,924,955,588,102,550,914,829,600,356,
568,335,442,327,770,581,370,576,640,710,456,312,311,136,195,997,952,269,245,
850,622,145,595,162,234,779,446,784,737,251,789,288,643,537,886,949,791,597,
537,673,364,035,387,597,618,743,939,916,625,475,462,689,015,602,185,710,519,
814,957,396,393,196,074,576,021,593,992,941,094,631,749,746,536,354,071,992,
920,258,853,458,067,229,983,114,985,280,557,923,335,487,341,966,310,336,266,
352,652,958,266,821,514,165,377,562,071,764,610,377,615,179,761,329,557,618,
616,939,634,807,501,349,350,866,414,601,598,417,829,569,293,844,363,074,011,
288,301,512,331,640,535,739,604,602,608,731,719,661,009,863,184,217,481,318,
012,363,517,563,880,958,982,563,644,122,633,487,277,000,613,598,397,067,668,
818,623,402,235,654,223,400,437,586,464,386,542,226,325,083,062,259,075,281,
512,180,650,333,097,530,275,994,468,493,232,273,518,034,611,367,925,997,103,
334,702,395,155,708,973,451,130,517,056,231,663,251,467,653,828,958,070,254,
084,301,188,724,242,618,229,296,171,476,993,382,786,457,987,612,496,845,981,
737,986,419,524,098,314,146,235,862,015,120,767,363,036,137,626,775,987,691,
964,855,616,460,955,196,367,762,168,058,798,806,760,665,234,692,056,990,405,
031,781,270,627,116,620,079,372,260,657,491,990,339,491,698,129,939,664,398,
039,580,946,856,307,537,742,817,571,947,625,989,290,207,117,252,639,467,388,
841,611,069,812,152,288,956,083,251,139,074,123,162,534,432,224,418,844,455,
796,130,595,131,676,824,292,854,508,046,111,543,399,917,908,911,150,363,833,
853,414,500,341,020,824,163,275,274,361,512,599,813,250,359,653,392,200,788,
601,109,510,709,816,286,703,808,718,166,651,796,951,625,912,507,441,318,182,
464,115,213,892,882,350,177,712,623,632,907,124,768,676,289,967,610,146,463,
474,138,648,428,410,874,796,396,639,024,735,497,994,382,604,939,467,557,649,
649,404,150,984,048,415,149,420,296,970,124,709,215,658,073,455,963,062,668,
416,166,489,705,370,794,614,524,243,212,971,286,403,927,824,592,739,523,342,
320,862,957,526,955,276,668,365,156,131,536,775,093,972,679,547,314,306,170,
674,414,293,339,177,342,587,688,780,323,313,391,646,398,785,070,883,055,804,
211,333,003,294,957,326,946,618,953,101,156,544,017,241,841,924,749,523,515,
956,813,662,161,207,733,100,152,122,426,670,470,613,793,281,860,072,380,052,
288,128,320,182,851,972,078,327,702,364,537,194,042,815,847,564,681,714,903,
388,476,707,877,231,388,323,649,204,268,653,557,157,284,088,445,193,874,037,
966,865,331,535,000,986,179,607,273,279,906,687,886,571,123,372,815,262,176,
677,960,422,633,294,870,529,458,167,409,868,373,484,090,470,031,439,139,627,
469,405,485,657,409,391,666,287,740,309,403,418,174,195,275,792,811,046,645,
288,976,670,022,202,435,230,796,462,505,785,727,078,877,758,384,683,991,894,
679,867,502,999,592,091,903,141,554,012,436,215,635,295,092,588,498,285,721,
551,015,926,289,141,955,716,505,611,043,194,237,605,441,742,000,396,243,928,
075,785,296,833,123,118,715,802,873,153,521,134,995,819,110,522,691,847,378,
485,475,855,366,870,178,703,902,288,717,369,983,766,046,752,838,288,108,093,
602,114,549,787,628,462,757,980,813,515,580,381,809,306,748,404,610,881,477,
559,596,711,224,467,679,962,568,056,191,386,675,057,424,489,923,655,497,199,
677,073,857,443,718,369,661,876,977,965,065,211,574,636,742,065,347,004,126,
035,503,864,741,486,067,125,943,980,258,070,548,624,722,471,604,801,239,239,
546,632,377,898,823,674,764,954,431,461,199,402,011,381,563,770,038,898,642,
655,157,899,519,200,037,330,898,371,369,613,640,786,397,671,078,395,679,729,
521,159,190,238,948,482,419,679,428,871,210,266,804,375,005,334,062,210,285,
270,367,345,675,803,034,550,701,420,863,373,108,416,676,340,457,350,944,746,
913,696,814,842,281,586,706,726,622,458,606,465,425,179,516,901,502,273,543,
596,743,202,155,448,036,923,435,174,860,749,082,653,929,075,610,296,451,126,
893,256,559,371,285,730,033,150,541,441,994,126,680,811,441,686,621,445,167,
687,771,835,628,499,230,539,737,267,136,488,773,801,156,358,066,836,523,892,
141,325,008,656,651,761,166,323,371,161,915,424,566,293,778,344,510,352,864,
492,546,595,776,788,770,854,253,375,295,434,943,174,210,211,497,946,636,758,
951,523,601,692,246,894,076,830,024,947,237,150,351,747,317,359,885,403,116,
660,949,879,622,192,989,147,907,545,017,448,887,631,587,259,639,123,624,045,
536,641,570,031,255,686,242,814,747,125,524,590,766,036,380,412,121,519,250,
417,922,464,774,169,864,367,114,219,082,770,915,088,797,889,120,549,719,314,
611,041,991,785,125,409,715,891,984,719,910,879,164,757,113,311,683,426,247,
479,673,560,510,593,995,237,787,977,739,671,092,382,820,221,372,119,873,798,
136,736,723,966,549,769,670,806,236,593,805,873,997,575,937,612,241,650,521,
671,491,461,250,788,173,614,068,816,909,810,226,950,417,506,294,842,206,249,
383,209,377,639,697,518,913,595,223,992,092,018,828,361,746,101,283,916,142,
429,017,504,492,733,638,819,646,523,812,764,298,236,174,686,726,646,609,183,
196,405,469,436,657,611,675,159,914,222,645,073,511,915,494,059,976,921,978,
493,119,484,861,137,684,194,680,983,894,440,662,011,821,322,490,154,147,409,
758,197,878,799,979,410,115,292,563,003,162,868,680,165,925,939,534,204,235,
345,262,716,480,117,279,793,518,963,713,117,137,578,937,755,179,698,199,506,
824,547,456,433,162,559,880,126,622,132,588,877,723,929,510,522,000,037,853,
042,099,703,457,585,158,875,233,377,529,861,538,826,135,490,220,084,401,808,
864,532,657,754,680,552,346,253,120,906,320,098,407,826,763,918,290,081,512,
309,432,548,597,321,377,204,496,982,630,097,684,163,015,345,144,603,195,068,
245,536,880,504,252,971,642,443,621,330,586,357,534,576,816,825,782,133,173,
091,934,829,975,785,806,780,726,596,244,689,940,477,603,705,321,146,634,274,
505,646,881,757,221,410,312,387,122,841,116,944,473,665,290,978,874,180,175,
191,118,491,528,233,291,492,372,368,914,734,217,359,851,709,736,891,956,351,
728,054,213,072,930,096,062,124,391,007,087,408,114,643,784,447,264,757,471,
218,778,850,409,734,283,207,339,729,077,469,648,012,860,741,672,949,865,728,
022,449,495,033,271,248,576,952,396,179,936,461,673,826,456,115,992,268,599,
173,842,969,153,830,753,103,505,484,946,460,544,733,419,437,771,399,933,539,
352,860,803,332,727,251,030,026,754,282,333,106,978,326,844,936,863,602,540,
240,931,138,830,584,263,963,126,414,638,709,953,363,225,970,804,052,703,648,
705,198,272,624,030,823,671,137,548,501,576,139,320,285,589,933,663,054,354,
056,756,911,998,085,235,210,870,012,551,367,795,023,113,766,119,410,290,156,
235,728,074,331,543,158,053,961,531,845,931,326,078,919,345,952,535,104,805,
001,540,091,412,810,438,275,175,231,046,812,907,952,040,977,004,162,506,689,
601,293,309,867,804,906,879,684,648,945,133,957,788,247,457,023,273,646,041,
323,043,284,161,974,026,993,660,734,946,501,149,183,263,119,786,563,299,103,
522,384,615,865,194,696,905,443,381,555,578,635,012,101,318,737,355,040,874,
824,382,879,973,813,633,802,614,310,715,862,864,883,966,210,909,845,740,718,
323,813,861,983,612,427,329,610,891,691,376,922,624,253,857,297,102,162,964,
835,342,380,502,771,773,905,881,636,346,526,892,882,530,884,192,063,630,573,
919,276,038,333,997,124,168,441,190,547,790,550,637,924,681,378,739,937,491,
347,117,407,180,227,734,335,806,225,896,991,635,266,503,006,877,865,498,883,
060,488,917,703,383,470,416,340,809,989,392,268,748,042,043,111,109,926,229,
680,267,722,714,721,755,571,121,659,434,908,935,418,415,352,805,209,698,609,
621,361,747,581,313,399,160,502,187,804,991,784,764,476,685,255,233,323,865,
641,094,354,990,189,823,781,947,049,137,398,814,697,068,758,866,300,315,181,
597,257,253,129,264,262,988,506,462,521,374,370,117,670,385,484,406,510,491,
128,989,956,838,358,207,437,960,233,755,528,022,995,060,087,412,670,323,303,
738,435,426,434,532,851,225,683,041,281,079,230,319,214,276,256,356,117,874,
013,857,094,547,488,332,045,390,048,835,213,262,378,347,555,845,664,537,621,
033,717,212,158,804,580,745,735,552,146,717,761,133,360,673,150,523,432,955,
752,137,193,215,962,757,766,590,989,320,116,677,419,381,630,128,274,777,834,
402,357,187,793,505,476,315,845,607,207,799,051,105,551,764,231,798,642,069,
676,422,147,512,796,667,624,129,023,111,766,098,924,239,460,780,856,144,306,
106,405,315,127,420,400,825,668,506,524,136,461,538,529,927,228,357,191,346,
830,015,476,416,015,235,595,391,851,540,180,559,863,737,250,112,995,039,241,
148,466,278,575,106,014,062,819,161,770,151,629,092,054,865,018,285,869,157,
334,482,381,492,055,581,821,597,878,866,716,774,450,408,033,933,285,021,344,
448,931,301,487,160,961,169,262,494,109,671,627,492,754,362,386,256,773,508,
117,586,546,448,295,179,710,106,596,426,826,374,887,778,320,342,587,904,491,
700,443,140,186,156,360,005,143,192,910,644,960,389,272,295,679,195,702,630,
692,936,929,121,363,546,515,146,347,141,412,391,392,154,314,103,188,367,628,
793,461,519,415,373,201,891,500,979,694,864,435,407,486,749,207,519,608,284,
839,530,783,081,600,647,538,244,284,341,380,828,935,489,739,183,081,592,600,
251,922,892,587,394,963,136,929,400,330,515,385,755,966,814,007,959,021,204,
433,980,622,297,194,513,624,564,537,884,559,781,845,450,961,213,862,721,243,
449,407,144,293,853,317,560,400,134,456,556,855,290,301,542,777,874,810,381,
287,203,525,150,833,519,931,478,360,013,086,273,988,305,788,085,151,200,677,
859,927,143,452,783,629,419,502,854,547,306,194,339,878,871,791,300,036,850,
557,224,212,583,482,622,361,268,263,028,585,925,516,928,563,286,273,725,465,
944,734,593,153,818,216,663,932,632,633,682,517,165,803,838,825,648,822,496,
093,947,616,006,500,157,166,513,461,075,216,018,165,840,624,376,489,872,504,
936,721,241,589,080,347,330,786,086,366,889,715,830,933,512,710,245,692,875,
791,990,575,164,290,609,134,996,799,890,378,325,055,725,708,369,100,383,541,
291,228,205,001,779,401,012,396,674,828,498,458,972,541,430,609,906,388,356,
605,861,317,521,310,928,309,176,990,682,306,491,463,743,671,503,479,656,804,
067,515,845,004,906,289,325,382,455,298,006,768,932,813,891,224,167,185,233,
103,500,852,737,563,256,015,373,784,169,577,415,591,525,140,908,103,504,978,
869,963,370,848,016,964,468,490,669,224,150,257,465,924,123,818,008,442,692,
601,310,903,853,961,414,578,353,647,717,397,881,112,238,802,350,860,448,950,
725,961,084,431,926,173,540,956,258,883,025,776,304,853,052,529,647,341,741,
674,769,904,382,632,602,540,981,250,908,267,583,216,962,607,663,165,906,407,
692,452,956,933,925,618,690,362,134,655,127,218,141,412,118,854,129,980,973,
732,246,825,852,958,904,425,112,701,588,956,516,744,553,930,482,699,965,523,
502,087,557,760,346,974,023,930,319,463,080,319,241,422,910,182,642,759,644,
682,700,066,790,222,520,865,344,472,728,870,842,874,785,833,656,918,371,686,
335,701,396,147,905,115,690,943,014,263,136,147,735,366,143,733,424,473,967,
090,637,164,266,614,546,275,136,127,909,148,557,684,868,362,382,436,656,060,
456,117,454,483,185,933,612,353,000,993,553,744,139,984,109,819,186,792,958,
885,911,762,856,445,814,361,778,790,835,125,905,223,468,610,663,841,114,379,
668,088,671,816,572,173,744,889,133,448,479,128,098,432,750,298,158,904,347,
926,761,049,832,740,014,169,015,410,338,166,539,599,717,551,945,478,167,902,
934,692,662,830,019,178,810,884,271,276,530,648,453,666,593,944,220,062,824,
461,053,280,256,748,144,127,724,485,206,131,907,156,244,574,620,257,016,119,
990,602,876,920,897,480,712,918,247,082,655,316,246,874,879,418,558,626,251,
124,991,727,404,901,614,158,685,421,086,322,911,352,766,714,938,061,741,662,
549,721,745,645,655,277,759,532,225,835,162,218,477,973,832,646,938,671,303,
478,339,022,655,927,923,541,581,183,000,948,460,981,825,422,442,645,063,809,
524,790,225,642,401,124,524,422,130,722,917,469,337,712,060,364,296,210,772,
530,060,647,750,902,690,936,877,371,249,847,344,068,023,248,480,248,933,735,
400,744,529,591,414,051,958,791,936,240,638,886,712,210,521,243,788,634,489,
662,098,784,568,995,293,607,702,554,544,879,466,040,776,122,487,413,866,292,
970,617,693,173,559,526,397,004,144,413,140,875,709,190,799,203,944,683,365,
504,705,455,124,467,930,967,988,031,459,818,119,009,731,388,870,806,502,248,
140,037,840,892,838,101,454,887,615,114,256,468,302,056,490,352,517,866,397,
557,752,858,281,448,821,990,115,668,944,024,834,266,570,248,421,682,173,181,
037,520,686,348,504,345,201,777,027,240,416,523,474,017,183,813,634,821,400,
629,140,911,581,129,792,088,525,967,574,737,772,680,990,013,251,056,842,566,
842,267,565,458,750,282,082,665,386,880,828,938,572,525,321,934,693,195,414,
689,497,795,883,580,698,063,391,741,641,714,796,104,427,146,946,046,121,289,
588,836,496,128,505,034,397,825,367,288,880,846,033,302,499,037,946,098,542,
529,233,968,839,010,971,356,371,643,799,979,396,363,209,957,311,618,001,543,
840,755,450,764,383,996,667,161,547,775,747,955,298,024,802,774,382,185,672,
242,514,632,739,125,167,878,822,908,916,210,086,534,813,176,965,602,322,527,
078,336,818,324,524,910,177,402,224,337,976,209,405,149,098,346,320,097,718,
141,597,903,726,640,386,278,932,763,196,412,077,913,206,866,974,471,238,620,
048,663,442,522,863,692,201,108,674,380,558,311,908,308,417,128,803,227,278,
026,957,460,803,737,887,438,939,634,914,271,403,502,510,127,182,137,764,429,
521,375,094,480,306,238,277,494,451,379,709,453,496,057,631,964,926,878,573,
945,088,898,929,773,895,870,497,749,325,587,590,986,678,292,774,053,157,657,
213,433,648,774,423,862,145,320,499,397,331,542,179,814,195,553,972,282,166,
327,272,755,955,065,368,793,946,383,860,354,837,010,578,326,452,010,412,629,
748,872,918,027,719,817,025,269,883,090,008,864,736,405,954,819,480,911,748,
127,404,248,770,413,494,547,729,398,502,243,052,936,896,395,307,895,483,964,
389,518,773,994,116,833,536,800,927,257,247,828,282,699,213,203,725,124,475,
887,123,908,819,809,426,267,567,761,364,700,392,692,516,968,788,633,884,611,
822,565,853,156,762,346,466,232,420,839,651,252,348,823,125,719,061,115,618,
122,302,045,779,227,037,612,740,821,691,722,724,447,261,044,932,297,809,001,
384,492,938,502,009,343,537,232,884,680,600,123,993,811,728,785,514,324,282,
717,544,032,466,472,500,946,355,063,547,592,102,395,660,294,322,537,325,680,
600,061,126,454,293,254,270,010,169,818,490,908,495,356,074,547,369,875,916,
510,962,885,264,269,354,593,618,508,376,172,716,973,254,893,579,978,314,024,
679,268,002,946,703,330,351,234,390,428,963,562,110,256,509,966,408,582,643,
483,636,992,907,161,959,428,994,349,845,874,587,518,026,438,459,676,586,949,
769,891,825,892,292,146,088,065,349,861,619,122,536,251,523,659,955,251,536,
217,072,822,431,613,210,120,801,555,551,675,260,167,657,770,808,529,663,541,
377,205,828,889,007,941,596,937,117,490,696,954,549,331,231,687,820,467,618,
442,235,035,019,841,134,075,472,576,237,931,659,589,656,155,017,744,863,402,
991,066,027,449,086,550,991,186,009,347,854,633,099,268,466,334,025,310,626,
088,249,294,834,280,899,058,139,041,229,282,982,989,643,029,822,672,914,364,
670,569,554,039,851,501,835,302,072,262,797,636,957,156,424,475,734,303,406,
554,654,689,343,362,337,160,594,978,416,838,737,280,095,775,468,763,758,839,
300,865,425,662,610,850,413,025,948,072,636,715,993,989,665,334,471,882,218,
986,740,911,060,371,537,035,591,992,789,565,457,505,722,085,768,211,131,219,
752,690,439,613,130,667,049,837,417,477,651,119,640,768,137,104,787,815,106,
722,394,114,735,459,962,715,843,980,585,221,441,963,013,750,537,577,623,935,
453,131,419,607,390,051,733,974,906,140,428,843,563,314,874,848,738,375,038,
684,953,529,581,549,646,485,205,298,205,739,112,742,092,353,406,083,750,676,
873,378,152,808,243,622,906,663,149,924,008,513,317,329,014,622,558,456,823,
077,363,891,969,793,114,516,416,585,506,300,446,261,077,688,659,898,887,266,
227,968,284,918,334,735,365,719,298,279,884,142,145,698,420,778,872,964,937,
283,564,991,348,368,454,274,143,978,603,328,786,892,562,375,985,236,512,885,
416,277,292,240,464,772,274,293,221,987,900,225,743,626,369,746,961,362,859,
502,604,582,517,662,078,889,834,290,283,822,494,269,277,745,329,616,715,625,
782,871,456,577,908,398,277,116,157,045,196,246,323,165,078,553,425,962,537,
761,104,540,276,176,696,969,525,415,199,226,542,831,636,635,305,417,845,742,
739,221,358,342,723,121,085,229,493,246,262,454,028,990,937,349,578,271,607,
840,983,874,582,115,010,351,889,547,857,414,324,707,375,369,440,529,830,035,
478,311,684,232,783,232,141,552,510,375,504,395,395,992,673,740,905,101,727,
060,043,417,138,749,930,109,772,684,899,318,206,854,935,013,639,437,754,488,
428,614,738,442,288,343,448,196,781,236,661,032,085,271,242,645,035,236,274,
208,203,162,490,565,824,278,715,324,825,584,997,850,550,923,845,271,408,667,
659,415,093,479,705,866,962,310,533,924,854,276,432,877,590,051,976,152,544,
277,126,151,684,779,333,291,788,201,430,816,890,518,889,421,034,416,310,193,
569,395,121,652,181,597,665,021,119,275,733,409,080,765,520,808,218,783,963,
379,766,495,401,800,787,557,950,875,874,938,968,124,421,296,598,461,053,964,
597,130,854,716,227,012,627,617,573,773,591,513,516,480,632,917,490,234,813,
003,076,583,963,533,497,934,604,164,449,290,932,260,137,923,443,102,795,145,
510,934,110,595,644,934,771,492,918,729,161,556,015,529,841,597,294,681,288,
682,483,757,995,054,690,353,903,449,278,816,453,225,303,321,066,795,491,537,
331,975,717,400,562,140,155,112,065,277,799,994,504,273,120,113,989,311,872,
457,176,895,640,137,848,767,166,674,191,828,020,485,995,576,262,559,820,812,
820,315,312,074,583,000,555,408,499,563,516,440,555,607,379,972,183,067,870,
580,508,765,844,988,454,320,318,233,806,833,609,429,829,268,119,055,950,462,
028,356,546,537,214,935,567,262,139,755,867,085,655,020,058,152,113,105,095,
348,187,949,581,428,650,793,706,124,879,035,332,019,553,026,940,377,746,887,
889,417,294,299,594,598,997,975,044,589,246,730,565,932,027,653,619,420,353,
136,081,282,002,677,512,111,900,644,213,910,249,039,747,260,857,070,877,161,
235,248,355,333,607,551,886,279,223,727,488,656,241,160,192,851,647,846,142,
839,386,757,646,323,336,697,242,546,604,460,633,084,228,465,101,968,172,544,
755,396,411,067,679,156,979,690,716,651,817,733,173,505,972,327,115,068,845,
400,347,150,781,279,755,205,647,448,035,896,806,798,000,759,482,138,996,847,
081,199,300,176,976,328,962,878,456,108,580,065,275,925,345,815,241,408,766,
673,147,596,657,134,971,539,496,145,207,390,336,780,164,598,547,247,068,017,
886,884,873,473,069,796,684,020,516,509,520,721,983,951,630,543,260,820,941,
211,794,647,699,883,910,881,089,835,391,028,020,301,969,883,024,371,950,209,
012,028,918,325,579,274,529,960,457,396,182,502,604,740,649,479,485,054,519,
946,219,492,372,026,492,832,588,256,585,662,977,295,090,796,554,068,757,102,
302,963,788,166,626,593,605,775,264,318,797,930,564,106,635,265,195,242,342,
541,674,222,323,174,700,837,549,091,743,384,447,706,034,159,017,220,921,909,
863,322,814,737,704,248,580,522,569,549,864,889,377,601,995,724,248,502,062,
027,071,218,994,591,382,211,919,274,287,718,060,308,195,151,312,753,743,530,
700,162,663,113,821,652,004,289,592,262,175,457,618,213,180,682,738,470,475,
034,086,986,536,918,270,708,035,522,409,311,159,839,361,214,923,439,722,164,
513,095,711,244,630,984,154,737,541,683,893,657,644,948,586,298,889,522,660,
792,044,890,180,038,907,171,774,800,560,040,337,530,545,597,032,065,817,782,
533,169,044,622,896,071,360,929,357,286,059,861,525,012,289,740,123,971,937,
444,962,628,078,790,997,667,189,405,592,395,237,882,017,362,969,992,991,189,
431,778,412,529,918,634,090,320,502,363,428,270,440,352,405,578,761,358,944,
105,642,362,742,567,304,764,470,229,122,552,097,271,901,651,150,742,461,946,
791,075,464,037,255,170,494,415,293,235,763,497,259,278,234,217,979,079,548,
648,533,814,114,786,622,403,423,323,091,822,526,891,598,494,842,507,725,934,
710,468,839,393,645,093,010,610,061,181,619,850,617,962,151,364,225,791,806,
444,799,536,105,784,768,841,780,559,596,524,207,084,690,050,853,701,618,218,
266,319,054,552,430,554,977,079,637,356,379,376,955,102,713,158,820,711,116,
529,390,287,727,772,655,592,526,732,749,505,825,241,102,543,635,351,945,279,
612,647,963,717,273,341,095,170,823,260,656,114,010,280,196,466,477,249,311,
491,316,409,183,241,441,466,934,826,278,637,926,754,297,080,261,752,908,533,
003,910,715,229,548,099,337,619,312,782,443,575,688,339,503,516,851,351,444,
233,009,081,773,169,333,995,591,450,643,300,692,592,562,717,188,866,299,591,
688,610,896,036,231,074,164,381,080,778,110,793,842,776,617,324,358,220,123,
984,537,473,729,063,542,675,820,514,682,137,882,072,476,568,318,162,259,307,
244,563,937,696,150,934,091,164,871,023,904,978,911,069,270,864,880,473,927,
833,250,950,782,484,126,917,147,117,295,966,395,451,461,605,803,090,377,263,
998,294,070,700,505,629,438,937,267,380,455,019,693,171,770,739,359,577,591,
043,858,601,812,419,618,615,177,138,541,302,024,641,135,131,287,519,899,356,
795,229,824,560,780,044,989,576,880,273,793,304,597,998,666,857,905,733,951,
086,984,067,584,068,697,098,949,333,296,564,605,346,877,860,529,377,541,982,
442,631,564,821,026,557,884,586,072,880,654,740,798,408,437,109,628,880,050,
978,620,167,268,457,371,885,457,097,087,581,223,058,033,380,082,018,210,784,
805,055,850,635,267,755,385,345,976,430,785,750,586,560,781,834,263,760,349,
499,890,070,241,986,760,021,413,993,296,509,575,809,807,017,985,796,754,487,
264,543,096,446,838,809,243,812,831,705,316,765,786,570,961,580,988,411,459,
435,443,518,564,045,958,659,445,545,987,568,151,828,548,423,689,677,527,097,
800,424,292,782,606,918,539,846,551,586,678,351,549,660,660,510,218,352,567,
868,875,773,994,689,195,624,167,758,054,426,551,483,145,215,252,500,855,055,
581,605,293,883,456,048,279,317,285,606,729,973,055,719,314,384,299,301,992,
471,883,048,470,659,279,335,197,132,360,407,856,410,825,644,184,361,201,860,
953,394,952,552,447,649,442,338,724,300,620,072,078,715,599,046,221,716,984,
785,599,652,904,836,059,179,337,644,211,717,336,584,692,677,135,039,629,874,
880,196,344,078,050,828,398,222,320,388,438,101,931,356,373,980,427,175,470,
008,609,876,961,865,080,253,748,832,832,225,952,415,664,109,221,319,468,834,
612,642,702,170,879,496,284,803,054,798,231,091,394,057,344,290,498,846,886,
693,704,320,203,188,874,128,205,974,421,306,992,522,648,707,046,027,223,814,
482,941,441,437,104,185,765,664,986,659,795,927,261,679,211,319,415,498,493,
584,051,630,006,761,311,920,080,911,882,267,031,024,458,883,062,428,356,876,
403,194,531,985,136,029,517,143,826,362,890,739,614,442,253,257,525,067,836,
991,339,796,079,660,333,135,593,319,229,582,110,167,447,787,578,506,629,071,
727,331,171,439,332,492,379,678,984,459,231,597,275,215,379,042,360,317,171,
341,878,974,548,786,814,970,320,564,719,976,091,046,983,629,800,120,511,903,
428,886,561,642,325,031,951,492,176,153,412,530,966,676,418,468,616,409,968,
208,350,566,055,958,735,191,437,908,893,249,698,697,236,005,020,775,054,085,
542,106,806,399,919,001,741,306,260,349,401,193,427,318,286,148,062,470,793,
874,425,516,743,503,429,287,981,827,126,665,203,899,663,251,865,245,754,518,
503,439,139,653,414,440,957,501,301,617,004,912,994,995,314,441,450,362,426,
330,374,856,814,510,692,421,233,435,335,249,969,493,090,872,556,563,770,093,
692,240,154,717,132,409,357,868,918,089,294,689,279,288,673,161,843,039,077,
668,696,406,558,147,641,421,062,721,769,797,177,088,199,697,282,786,414,871,
412,726,415,006,888,412,454,813,100,348,860,768,985,058,141,834,609,213,157,
114,346,644,008,877,942,891,505,757,706,421,830,505,645,723,994,355,209,446,
375,565,002,312,596,498,898,427,837,955,556,592,306,806,544,284,519,136,135,
137,140,452,671,925,723,455,895,405,121,669,051,953,614,174,368,156,831,365,
785,018,968,362,861,646,417,460,319,349,511,165,673,887,536,114,906,830,805,
544,014,428,847,037,568,857,070,355,541,282,068,402,597,841,887,559,231,544,
080,368,357,083,715,754,180,551,480,271,053,073,146,579,761,343,332,365,047,
804,117,966,205,828,833,168,764,675,693,006,407,009,434,723,739,915,701,869,
774,605,575,986,982,873,251,465,617,642,969,432,762,734,956,482,487,663,704,
114,803,461,349,111,546,250,549,619,211,990,300,380,674,305,625,994,512,610,
112,493,420,448,469,916,861,352,739,045,628,649,829,349,520,156,407,080,270,
107,178,767,443,495,664,834,546,174,072,137,022,468,046,533,417,113,142,212,
330,190,525,638,010,162,843,480,578,386,203,383,053,820,519,727,250,539,004,
557,542,195,950,673,815,016,098,429,877,404,092,999,694,656,673,218,879,912,
399,872,027,606,088,058,147,881,690,002,153,485,801,618,768,937,366,804,787,
478,166,056,475,026,938,565,774,255,058,268,184,156,441,996,127,344,031,193,
570,893,115,714,844,979,224,481,894,480,580,491,189,358,438,367,805,189,853,
529,743,706,313,479,016,567,760,544,428,744,518,070,178,991,577,841,081,191,
188,595,138,481,079,791,173,320,409,056,892,646,475,069,235,753,889,571,693,
440,330,677,562,326,202,008,846,869,329,224,070,559,171,288,233,415,745,854,
836,697,559,762,953,654,432,654,336,372,139,730,854,937,219,511,677,320,084,
624,577,542,002,524,537,052,464,797,705,489,172,425,335,831,422,967,351,816,
182,596,113,000,537,957,888,023,761,050,910,951,988,794,521,609,466,547,111,
832,726,839,888,071,760,793,092,571,112,318,386,081,933,872,344,322,615,784,
733,396,311,552,736,488,622,803,453,421,170,607,699,739,585,612,767,655,476,
767,277,411,637,463,414,589,388,102,432,127,887,728,033,510,687,998,875,326,
793,882,489,623,491,568,261,883,255,785,166,346,378,324,706,398,661,303,000,
208,839,054,900,433,513,556,923,689,228,892,913,080,811,160,073,463,453,652,
994,388,044,089,191,757,879,212,028,387,076,159,750,206,215,284,781,943,714,
997,492,065,091,778,923,252,455,234,361,572,946,358,332,921,624,252,717,689,
763,512,337,237,968,449,969,310,557,053,238,258,266,527,191,779,403,419,478,
547,137,722,503,939,717,873,823,829,594,847,168,428,052,968,764,940,127,654,
111,023,420,401,612,247,151,151,044,565,034,719,448,801,751,827,805,401,542,
133,353,634,683,893,403,647,544,461,066,480,376,671,712,415,561,693,691,852,
764,213,961,459,057,160,967,737,710,672,262,727,363,837,243,313,910,556,361,
712,727,528,818,994,993,040,265,551,391,134,903,408,508,617,011,416,848,461,
655,327,074,027,047,648,821,537,574,695,503,341,951,534,942,994,831,851,259,
770,954,889,136,132,691,785,723,223,436,732,102,150,075,329,814,056,616,868,
953,884,708,565,331,152,939,251,665,619,095,996,734,542,188,845,153,731,513,
175,251,728,850,294,419,881,769,272,398,175,634,840,577,834,099,798,533,998,
667,452,036,755,164,664,502,079,672,764,426,424,668,490,107,105,968,210,656,
246,191,118,010,745,149,066,119,374,212,617,033,850,786,499,779,057,500,247,
183,056,682,210,933,659,652,066,726,450,462,265,952,006,734,676,904,040,452,
463,733,032,910,191,086,679,874,597,446,767,840,748,477,533,110,919,408,072,
992,163,221,107,793,331,267,623,774,523,811,634,355,225,649,057,374,186,072,
191,651,494,940,243,244,445,646,495,701,106,859,542,210,533,801,145,070,266,
042,523,173,257,820,289,437,482,195,345,736,644,832,278,846,765,797,367,361,
603,932,009,448,881,946,453,554,542,573,770,410,482,701,802,968,166,525,096,
359,806,124,187,629,443,819,460,497,590,374,712,650,110,230,859,844,177,448,
594,471,099,985,990,140,913,756,667,849,220,358,677,143,131,788,238,704,312,
321,520,679,648,005,002,602,263,523,289,988,609,784,200,327,357,875,015,506,
865,624,833,678,687,875,593,401,656,413,086,518,671,627,691,825,771,126,700,
422,518,898,020,462,675,387,694,074,203,490,194,093,039,213,363,482,614,397,
798,325,290,857,334,984,809,799,456,529,601,520,934,643,091,370,221,784,514,
698,389,173,774,414,703,137,568,162,880,536,127,430,518,908,115,355,373,953,
073,449,027,142,825,244,408,514,522,067,234,049,119,492,712,033,643,233,869,
151,965,344,271,842,352,748,282,411,843,357,935,723,037,770,530,190,250,358,
253,903,257,493,204,676,493,392,045,118,565,596,978,179,695,838,236,761,411,
342,200,358,622,517,582,611,449,357,518,828,661,150,526,163,461,708,195,494,
292,736,238,070,230,435,377,549,496,161,594,655,076,013,881,077,510,749,168,
654,981,784,573,331,281,798,236,266,893,694,123,888,410,787,793,338,602,726,
135,529,604,880,591,936,326,864,967,333,789,596,615,621,657,034,124,101,895,
698,369,109,044,625,653,781,805,058,344,492,759,786,505,494,270,157,988,576,
221,629,475,204,440,568,583,029,418,441,926,680,501,373,083,286,013,038,199,
380,280,295,569,335,157,740,913,744,474,495,362,748,222,305,024,892,931,629,
678,715,533,161,558,114,500,182,900,780,466,499,300,896,405,587,628,613,040,
006,260,793,839,753,600,295,050,883,357,110,193,580,811,051,816,372,497,081,
101,989,005,283,637,824,568,483,899,791,309,395,152,375,307,019,238,552,281,
486,174,016,186,138,461,280,312,872,004,934,034,223,946,500,093,330,872,968,
613,016,435,647,578,165,105,224,043,534,719,812,853,074,749,228,971,335,747,
785,123,118,767,513,908,782,496,334,963,366,558,543,314,483,963,890,959,344,
604,699,929,177,673,639,851,292,575,659,242,486,762,350,798,597,017,923,986,
725,734,284,238,558,505,863,571,712,325,529,470,555,507,122,297,048,558,444,
598,459,614,310,322,557,749,020,369,478,195,891,596,765,518,375,778,120,241,
931,201,152,999,515,819,249,605,435,208,731,616,514,606,512,078,732,093,064,
994,071,365,009,944,405,769,427,001,463,938,925,564,752,651,679,479,137,060,
952,831,527,762,408,603,010,677,162,983,435,571,455,197,284,392,210,613,642,
569,462,397,611,361,366,626,815,109,771,737,135,597,073,633,589,823,988,433,
434,379,341,754,401,058,197,953,956,927,418,483,609,013,895,837,241,017,209,
407,980,086,066,337,735,831,894,322,476,242,786,578,919,314,491,556,673,396,
481,921,035,293,402,219,736,314,408,586,976,139,353,627,179,557,520,116,974,
946,799,909,961,045,784,652,050,551,120,934,311,258,914,570,268,219,612,133,
437,014,748,840,846,324,467,889,909,444,613,894,153,611,296,005,983,384,450,
448,721,813,334,528,328,456,440,372,738,786,484,994,568,651,840,779,660,658,
602,280,345,260,262,185,478,854,993,069,936,252,038,225,666,923,717,251,447,
039,405,822,373,414,663,517,842,694,692,759,617,065,452,355,379,652,908,381,
468,287,827,799,354,821,805,203,560,882,564,812,019,469,600,348,850,554,965,
689,190,475,069,247,105,864,780,109,996,505,772,509,333,325,665,314,206,493,
652,143,847,059,154,418,217,351,312,777,492,348,642,420,506,234,801,226,810,
421,223,910,376,218,150,832,793,326,896,194,151,458,038,535,412,714,090,024,
574,113,068,575,780,128,676,025,363,599,514,835,120,950,251,764,590,834,263,
235,644,546,246,141,678,307,342,652,499,820,512,368,471,910,290,048,226,851,
648,773,834,967,738,322,556,066,078,343,809,397,875,831,603,171,511,193,083,
998,272,903,468,901,865,937,976,040,600,911,742,586,851,915,605,824,774,896,
278,645,623,211,121,677,333,101,661,215,940,116,362,488,536,780,595,119,680,
252,958,999,730,640,409,060,737,829,373,398,694,439,889,686,029,695,789,419,
604,781,127,526,440,913,010,601,862,190,180,108,505,100,071,879,770,666,681,
774,548,027,348,389,573,211,029,832,817,031,860,846,910,296,144,145,886,594,
683,680,852,849,937,711,717,601,748,543,923,863,289,462,978,888,415,290,388,
903,712,728,393,111,344,144,986,273,253,377,252,481,121,197,593,105,621,657,
511,551,538,270,285,337,534,095,888,690,164,010,454,060,516,394,393,056,474,
127,897,526,737,035,627,526,267,948,291,327,508,337,511,371,412,699,524,046,
469,373,387,826,278,233,015,081,859,824,477,212,345,327,261,647,849,100,725,
283,692,376,564,424,176,083,156,498,060,118,527,753,592,737,165,251,589,559,
981,317,310,188,805,245,394,419,892,419,587,357,313,335,079,839,873,249,822,
011,490,528,070,794,235,645,896,531,055,910,716,907,920,639,441,999,851,554,
341,420,073,660,919,484,068,935,105,314,556,143,906,118,543,561,831,891,171,
600,037,916,836,165,839,877,800,926,779,447,844,521,727,300,958,251,318,304,
550,081,519,137,963,339,261,125,526,101,700,944,815,380,017,157,918,237,811,
966,979,695,702,692,504,865,235,493,765,823,268,647,580,785,696,228,611,680,
476,537,385,361,410,852,949,945,638,333,540,800,553,105,356,671,142,482,575,
560,205,200,064,065,423,330,382,632,903,865,267,231,955,669,285,731,640,484,
835,736,283,137,386,584,827,652,088,818,532,984,585,490,316,109,168,410,018,
032,465,388,008,920,917,196,272,269,633,853,987,637,370,291,433,533,709,294,
413,428,208,084,138,163,334,818,871,943,896,485,211,775,450,994,162,416,315,
688,486,489,601,103,129,314,859,350,212,188,466,306,086,486,620,120,010,141,
446,241,056,596,048,848,603,548,492,574,377,249,967,354,695,758,857,651,883,
406,415,225,088,529,159,102,618,104,022,509,070,828,456,090,936,819,400,949,
126,936,967,418,683,305,283,547,853,493,429,685,997,783,835,110,105,754,055,
839,756,014,881,595,985,384,826,880,791,212,454,316,368,745,656,631,317,268,
742,945,828,276,927,758,413,545,382,026,150,334,618,101,443,803,125,334,082,
676,994,650,131,852,757,473,480,641,491,947,890,195,814,212,939,966,637,106,
761,177,136,273,721,917,634,112,886,819,424,845,832,806,817,844,603,301,836,
315,337,188,700,438,099,316,022,935,674,589,308,919,414,581,212,222,177,236,
224,775,889,691,679,089,130,986,545,113,908,014,118,687,813,557,842,513,665,
086,542,331,510,992,761,656,464,853,858,673,830,501,633,128,320,298,897,945,
562,021,075,359,585,790,068,219,266,941,895,910,022,801,868,067,666,446,899,
797,727,284,886,767,024,930,546,680,880,750,658,565,306,744,767,089,100,593,
084,507,048,536,369,999,809,162,584,056,576,489,276,898,545,478,741,336,325,
065,212,213,637,916,733,085,940,153,010,394,391,773,054,588,703,682,921,319,
968,244,679,769,626,929,669,232,618,974,675,224,859,035,309,682,838,848,022,
750,834,028,338,440,412,110,084,360,325,714,876,962,145,250,971,172,235,518,
605,001,638,634,034,448,478,929,905,635,544,543,454,528,804,025,781,612,450,
571,412,570,202,672,764,913,294,419,594,271,825,640,540,251,278,896,000,094,
220,584,967,398,002,021,818,940,408,779,959,464,208,188,768,058,328,345,809,
246,565,184,383,788,411,719,194,737,569,549,719,362,975,799,360,416,559,607,
160,583,202,869,336,047,272,750,757,030,591,439,930,224,287,725,517,542,259,
785,620,202,008,864,136,243,486,970,524,248,128,788,727,867,863,008,018,714,
628,668,458,506,047,908,552,262,898,541,241,751,686,459,706,284,508,292,087,
254,309,637,061,589,653,470,968,452,998,297,480,090,140,399,453,293,733,138,
332,164,771,916,364,136,323,688,813,353,949,632,423,439,489,067,325,554,571,
057,847,354,030,554,488,241,937,058,078,684,180,338,625,209,121,955,926,757,
486,813,856,590,749,336,693,088,545,927,543,705,179,720,466,238,509,229,878,
358,530,121,289,096,762,576,403,258,909,922,702,267,475,396,956,397,090,618,
211,481,682,086,205,135,419,129,365,474,899,544,120,274,043,604,255,751,139,
864,398,149,554,898,414,138,772,170,767,715,833,485,297,340,768,345,505,774,
954,529,441,503,327,132,412,835,299,778,090,329,079,179,826,201,163,861,120,
078,578,685,422,569,220,513,328,804,006,790,274,841,380,449,992,938,176,754,
844,134,948,252,949,290,669,707,742,261,939,095,067,328,211,064,850,349,142,
493,255,001,685,576,684,639,047,189,302,153,109,091,818,321,095,074,109,290,
549,022,177,117,760,712,790,070,866,571,933,826,853,424,634,018,212,203,239,
814,867,287,208,850,428,662,707,693,273,042,443,645,968,230,056,728,362,868,
363,568,192,190,830,453,952,031,685,495,505,607,490,408,697,473,030,239,861,
577,355,881,534,146,149,279,892,613,103,547,690,025,237,937,047,593,895,232,
079,310,123,467,946,916,112,823,389,938,079,607,061,608,035,194,092,456,971,
217,119,521,441,591,554,587,663,914,040,804,462,596,595,839,380,940,729,611,
375,863,909,308,598,519,832,409,825,996,599,105,232,884,568,719,343,978,453,
412,919,103,328,515,296,107,913,070,988,392,247,752,238,194,708,318,861,796,
196,856,767,369,763,030,695,222,128,012,238,010,839,606,865,986,378,511,352,
662,202,563,064,515,571,513,320,583,658,538,512,762,733,093,749,507,404,758,
904,662,868,802,974,726,836,575,511,998,162,931,948,753,034,474,489,303,284,
920,569,994,874,237,713,110,975,824,463,217,651,803,039,019,939,553,793,544,
901,843,908,923,242,354,471,857,719,453,653,711,915,856,595,466,874,744,637,
510,684,583,499,638,337,511,908,592,581,670,864,874,454,986,272,611,800,725,
956,581,573,107,938,361,182,898,063,069,959,953,618,983,812,027,549,302,710,
797,863,761,856,748,549,789,262,061,771,847,529,199,248,359,199,512,219,301,
907,047,255,098,338,942,627,513,505,788,593,639,063,395,295,641,277,239,294,
853,859,371,092,092,020,622,359,355,492,985,656,424,515,318,373,788,458,584,
913,685,332,564,284,253,652,292,337,018,829,578,170,276,289,351,891,886,684,
725,678,914,289,291,506,785,086,981,901,812,812,289,701,646,886,537,672,643,
616,120,422,313,857,760,177,883,261,752,456,255,230,682,771,580,262,290,061,
066,036,552,126,533,462,628,853,475,805,033,929,641,976,346,934,929,940,000,
002,854,533,946,669,477,073,290,440,945,348,303,621,910,740,484,499,983,989,
803,155,100,818,223,397,248,284,772,110,771,174,217,185,753,219,777,249,614,
316,895,849,385,636,781,490,359,844,633,700,326,375,527,974,815,245,722,914,
943,812,993,280,948,567,057,461,249,943,354,706,400,141,022,110,521,803,301,
710,262,903,907,138,810,717,803,444,440,762,772,893,657,204,124,017,158,524,
843,856,314,084,254,458,007,061,931,919,365,014,317,730,599,843,185,398,309,
502,460,066,893,944,210,914,027,088,849,889,264,213,704,105,644,782,549,900,
008,176,343,279,811,652,038,574,840,401,162,502,266,324,485,960,899,095,350,
701,159,904,019,701,465,379,621,436,562,954,569,716,820,167,230,166,886,929,
634,096,899,850,867,974,868,769,946,628,398,206,669,088,990,699,522,074,189,
102,454,589,516,969,615,254,223,309,798,948,132,956,649,560,701,556,167,860,
501,704,346,912,929,074,668,791,292,239,839,034,113,828,596,364,558,362,715,
596,900,053,356,948,138,398,896,869,025,255,031,422,641,377,136,513,810,723,
599,203,326,167,873,095,593,503,463,628,352,691,776,188,848,012,399,579,190,
766,293,441,809,596,948,000,644,210,204,843,091,355,253,078,538,768,974,062,
811,262,705,742,530,855,254,912,436,804,866,752,667,426,691,476,007,723,759,
034,586,289,816,772,943,441,385,608,593,697,631,184,123,393,071,585,408,365,
765,066,776,968,025,039,633,333,502,912,700,462,615,771,591,006,952,403,511,
560,673,014,388,125,531,288,511,446,567,941,581,392,768,861,843,707,901,474,
357,093,178,671,093,150,616,457,586,866,097,032,356,858,026,526,198,545,764,
643,698,400,402,882,206,941,854,107,230,878,854,851,017,671,536,444,333,289,
661,961,072,212,944,552,980,922,193,266,699,158,859,635,783,925,992,456,643,
696,087,726,242,099,660,185,878,683,282,002,576,431,338,332,113,477,869,893,
289,055,955,648,979,492,127,710,505,597,315,094,951,673,108,584,310,664,250,
995,346,628,485,824,222,279,944,860,380,412,576,995,102,569,349,457,876,074,
999,894,673,791,354,873,845,331,303,714,367,807,311,994,987,003,907,323,561,
461,900,260,385,244,901,217,745,794,101,099,648,462,027,608,815,715,318,652,
552,408,138,994,729,228,774,898,705,433,849,249,976,899,729,965,359,880,445,
505,164,681,212,135,495,404,868,587,437,354,392,173,643,707,979,549,350,248,
679,090,615,623,318,008,706,556,096,454,558,853,388,027,834,102,296,870,106,
390,485,325,259,716,500,788,307,692,146,851,535,955,844,068,506,540,033,289,
809,201,404,918,571,563,182,824,796,653,170,637,315,837,605,322,295,135,060,
930,925,053,742,550,402,818,006,669,484,701,816,619,789,894,014,607,144,741,
715,980,978,256,610,233,982,013,237,331,332,099,237,038,927,803,570,302,037,
957,150,297,026,572,587,087,960,498,226,857,529,234,508,873,778,661,398,031,
386,311,091,238,102,503,189,406,383,654,608,515,122,095,802,162,771,101,417,
065,686,268,034,829,896,578,892,449,418,339,925,363,864,625,510,953,229,345,
997,012,428,199,445,055,620,744,961,075,550,694,233,989,524,978,982,223,602,
232,327,059,927,129,657,801,968,861,659,830,707,321,033,833,018,057,739,874,
252,252,556,251,689,155,522,160,695,879,133,453,094,949,534,005,168,210,139,
930,843,436,763,159,896,106,854,200,249,583,596,779,856,475,451,302,031,335,
484,568,074,422,948,843,103,093,563,309,670,865,609,899,677,339,789,652,400,
951,729,946,380,236,365,613,676,288,724,004,994,774,445,760,385,793,291,764,
845,203,816,297,727,446,064,581,627,578,177,443,602,242,818,458,939,527,245,
693,909,109,437,861,839,676,173,693,518,856,248,867,534,929,605,708,306,323,
982,642,099,716,689,257,083,938,894,206,408,757,644,709,852,241,827,155,724,
942,944,164,775,377,258,689,290,644,682,638,002,366,891,429,003,320,336,263,
818,403,889,099,546,451,551,557,867,878,606,189,001,421,974,920,151,256,095,
667,622,740,986,488,200,880,731,641,072,869,587,124,711,363,773,650,441,024,
414,135,546,800,433,115,944,031,005,994,478,577,913,254,295,420,727,747,273,
672,098,789,719,016,518,547,767,039,710,380,494,636,901,861,999,137,975,630,
415,466,103,471,315,382,148,372,645,115,621,060,603,536,407,189,757,102,671,
962,146,605,699,098,417,141,864,156,817,487,123,882,916,094,378,804,109,721,
389,739,762,208,312,744,076,941,602,978,785,611,497,180,598,189,159,737,006,
735,693,181,372,671,846,816,324,607,410,396,730,575,707,785,356,757,192,978,
421,099,830,556,484,882,228,050,962,662,579,645,589,996,911,435,623,504,968,
212,401,005,440,569,060,539,955,356,702,802,329,621,351,932,134,871,216,645,
815,720,664,813,998,564,912,616,503,793,268,126,815,576,908,958,694,904,535,
852,098,972,508,056,366,862,024,686,455,771,688,839,619,659,192,360,999,237,
011,619,980,361,391,874,825,002,031,842,984,800,717,433,612,881,200,015,284,
565,776,304,345,450,657,877,057,526,148,408,652,035,815,384,906,124,399,723,
793,332,820,900,889,577,774,587,661,285,759,243,330,058,026,067,032,965,685,
129,353,825,309,626,801,561,283,788,751,494,086,322,335,510,018,399,118,541,
692,524,370,905,157,845,846,424,804,255,255,494,381,609,724,372,530,070,739,
752,355,278,647,631,234,162,055,367,203,886,016,654,460,537,614,133,131,030,
056,444,415,122,660,803,569,599,117,817,974,769,939,296,476,827,053,331,937,
121,138,363,934,882,164,846,475,772,268,494,753,015,319,433,661,181,946,578,
119,891,785,276,754,395,003,340,894,340,679,751,548,478,381,114,201,491,179,
204,272,401,615,589,021,992,613,090,381,169,645,522,350,493,772,504,597,027,
054,435,007,889,275,609,551,743,063,238,879,410,983,729,056,521,966,204,994,
542,736,394,183,259,109,483,786,315,069,403,716,723,213,311,733,695,203,670,
869,004,304,502,561,984,418,536,932,172,476,474,678,343,590,530,787,414,226,
935,715,817,898,972,220,287,349,366,059,500,227,905,905,386,589,310,255,944,
617,526,219,743,648,240,122,715,774,879,837,359,340,272,021,741,644,588,075,
076,310,971,084,575,311,526,989,161,328,274,527,007,104,579,815,586,090,128,
936,329,277,187,943,079,662,521,993,426,561,877,693,261,370,053,032,643,531,
123,445,127,747,302,340,355,963,929,248,203,034,318,374,412,820,578,790,358,
138,818,419,244,569,810,764,618,495,290,808,315,334,033,951,182,008,267,085,
153,572,506,113,493,917,759,192,864,037,336,413,658,314,481,925,927,100,144,
769,550,404,134,284,163,760,974,798,912,946,237,792,631,850,665,279,684,352,
049,277,174,410,948,125,431,049,548,571,489,544,261,874,939,453,689,788,558,
862,588,928,051,643,524,048,237,799,674,605,071,162,287,242,018,038,139,217,
826,164,402,959,349,705,181,374,176,691,787,032,453,632,117,570,207,493,780,
135,997,504,851,603,782,960,784,664,896,191,603,775,525,224,849,069,503,872,
519,662,473,824,391,464,252,702,994,817,188,848,875,338,996,804,990,118,747,
531,219,244,486,348,532,331,607,904,649,547,433,000,031,692,976,301,865,548,
809,014,943,631,837,388,484,073,903,578,904,678,627,805,031,226,630,016,903,
082,604,176,933,945,961,696,603,973,225,523,393,774,188,226,392,241,438,265,
783,634,150,993,064,291,368,493,807,920,859,066,869,177,279,966,427,054,280,
228,935,788,282,364,538,166,002,970,281,560,047,946,753,939,518,436,348,959,
650,228,914,110,608,764,550,231,047,350,992,135,369,169,816,714,871,044,047,
931,156,093,270,090,064,244,495,087,230,967,636,675,052,978,445,484,073,549,
957,099,713,382,509,217,215,514,009,413,857,638,466,775,964,260,036,802,031,
967,021,290,961,399,674,350,935,869,458,683,611,837,777,950,392,587,088,284,
094,889,607,036,686,047,093,644,111,029,525,316,017,710,154,326,484,323,098,
909,196,952,517,798,023,875,830,390,372,224,151,839,357,404,829,369,227,238,
214,123,115,833,844,116,207,888,043,843,592,452,594,969,371,288,923,687,985,
938,705,302,982,560,706,666,862,613,113,169,327,986,528,115,128,905,028,817,
228,091,466,575,026,913,943,058,690,959,383,147,390,248,403,710,168,193,166,
227,920,691,897,516,602,020,802,290,199,005,505,189,925,722,634,103,684,592,
388,407,371,785,150,799,950,875,437,642,077,745,824,517,912,952,293,082,806,
605,270,265,266,418,468,014,044,381,596,233,138,726,328,310,712,166,162,862,
919,549,056,079,919,202,412,413,014,797,548,768,372,575,046,174,452,048,018,
688,562,155,064,047,040,023,213,120,643,325,307,368,066,406,059,074,774,361,
616,888,321,082,304,148,896,584,884,456,753,294,849,537,670,274,843,437,872,
723,310,270,207,350,001,766,268,591,152,258,982,295,265,660,534,327,071,024,
970,609,131,440,984,907,604,110,464,036,706,959,453,983,826,726,326,881,966,
091,125,861,030,790,596,758,313,830,636,958,435,122,874,069,502,862,910,269,
019,237,933,276,573,114,829,944,468,876,082,141,631,413,227,861,226,317,618,
598,652,313,407,800,537,203,200,549,985,178,982,958,277,965,300,302,725,380,
071,720,362,269,670,949,625,248,238,922,640,738,186,025,431,412,688,136,304,
818,624,292,267,728,794,074,125,382,161,404,016,518,341,751,254,770,775,997,
450,589,038,973,425,387,501,762,897,591,311,158,391,874,154,077,900,685,205,
322,831,815,643,978,517,200,060,654,255,694,260,636,591,345,212,577,538,262,
808,323,360,097,873,480,614,913,669,128,798,776,157,200,168,008,378,401,719,
458,086,806,877,250,561,957,923,892,807,429,453,626,929,497,645,641,283,805,
308,282,036,808,099,362,675,931,548,558,291,502,858,290,072,904,327,900,608,
042,199,528,156,117,909,369,431,488,239,105,682,003,245,513,691,672,710,441,
535,965,081,270,149,264,261,952,836,790,687,241,696,648,635,345,911,410,777,
039,754,960,733,402,286,087,026,803,482,755,168,655,929,074,735,814,004,506,
632,422,498,701,539,649,929,132,687,791,003,268,293,649,902,965,482,575,934,
737,217,257,361,714,489,599,579,038,706,333,541,411,264,183,172,707,278,609,
878,480,223,596,366,807,602,798,072,732,266,529,812,929,859,588,117,124,798,
625,039,157,124,915,293,572,378,746,316,925,039,748,027,355,511,820,831,577,
447,391,079,883,617,688,017,120,248,788,964,486,155,923,710,143,111,756,816,
214,871,968,963,960,513,648,698,984,683,237,646,912,075,813,756,224,841,384,
836,548,132,431,387,280,605,444,727,340,603,377,723,406,660,857,914,299,434,
107,274,299,815,586,328,453,592,542,327,350,091,813,586,178,327,047,631,922,
408,675,892,614,691,596,022,591,462,855,391,812,647,569,667,881,169,010,133,
251,218,044,297,256,725,004,630,104,554,857,708,749,114,054,563,936,345,008,
055,398,179,054,393,567,963,061,881,129,139,966,575,277,608,569,038,090,272,
977,045,894,764,318,149,004,546,790,429,837,398,215,495,831,032,197,626,008,
828,077,636,168,912,121,125,317,701,617,246,498,450,060,509,931,155,577,675,
712,149,227,772,191,694,792,615,025,579,172,901,562,995,643,508,869,833,346,
462,033,033,151,930,954,786,496,499,551,016,485,861,992,065,134,769,458,364,
703,044,553,261,865,700,811,644,912,590,012,109,045,130,871,397,616,136,046,
148,399,306,998,698,405,945,808,095,355,442,642,484,154,163,213,891,253,873,
928,541,080,723,521,088,433,888,515,923,599,315,515,856,613,418,377,336,422,
563,645,556,489,770,277,047,149,904,821,250,200,815,327,948,335,870,380,790,
839,988,470,281,356,858,158,661,249,177,133,887,055,728,018,762,149,754,967,
170,380,466,108,114,053,391,075,192,082,333,183,785,927,277,293,188,528,772,
174,579,954,336,338,964,528,387,915,350,573,737,154,188,166,154,997,382,839,
521,015,765,488,390,946,723,150,950,325,909,047,224,399,682,304,097,258,297,
024,764,639,978,218,548,212,189,935,010,373,679,559,630,740,746,463,725,486,
291,326,445,416,695,209,676,249,263,239,702,312,967,004,016,432,993,236,480,
145,819,074,673,048,008,424,680,976,755,568,265,316,950,549,894,350,796,602,
074,092,003,096,044,847,860,804,437,151,206,576,951,831,403,856,841,492,423,
973,540,749,821,270,451,394,289,951,851,991,539,629,859,952,580,335,649,855,
669,021,635,660,470,910,824,675,040,561,743,449,002,519,813,302,002,622,872,
349,251,912,524,341,270,961,547,012,436,395,749,003,676,918,175,702,784,537,
383,959,582,949,039,240,439,883,443,453,376,397,586,891,796,435,426,797,478,
986,318,799,045,976,536,428,425,587,358,894,662,067,871,928,508,957,629,516,
504,835,763,081,156,856,054,349,749,677,985,247,229,932,197,513,440,571,799,
408,922,434,964,288,100,638,623,189,033,651,842,226,327,583,744,004,201,249,
676,671,928,760,307,950,440,624,143,159,885,383,395,200,726,678,774,088,706,
352,598,924,076,130,057,306,795,681,458,534,162,823,431,609,652,836,633,896,
670,399,947,671,614,978,824,455,195,494,519,018,292,296,785,627,091,720,681,
417,316,261,721,006,455,162,373,588,211,749,689,234,979,296,997,423,091,923,
581,408,424,942,977,069,707,177,521,447,177,255,784,825,077,409,587,841,590,
429,447,263,377,160,595,405,057,940,321,558,742,364,298,900,751,051,505,469,
488,453,967,312,719,313,322,602,640,077,586,789,106,933,632,835,375,025,324,
528,045,038,276,070,533,291,277,949,496,860,556,770,980,201,546,480,042,621,
769,205,363,223,554,196,258,012,490,020,717,403,113,489,809,095,007,438,135,
833,071,570,942,912,049,350,890,452,246,050,189,986,111,132,291,343,014,792,
837,655,873,962,423,642,254,368,340,472,994,205,084,922,228,529,897,051,514,
286,291,290,886,932,756,300,623,432,374,854,275,524,824,848,057,314,567,959,
475,056,515,157,123,843,187,696,496,566,935,200,062,955,613,481,313,994,196,
139,016,097,083,860,807,877,527,745,456,594,369,562,408,380,838,503,903,246,
236,332,608,255,758,993,474,842,502,994,753,315,811,850,861,927,035,214,770,
337,657,029,191,376,150,973,217,353,981,368,903,083,239,080,224,545,236,371,
286,223,714,969,524,079,082,419,472,390,861,357,108,637,666,868,029,710,923,
429,659,635,885,497,435,276,251,212,489,026,919,481,068,546,308,297,023,913,
633,739,674,655,184,354,262,523,075,250,351,746,866,279,845,112,044,223,707,
789,441,890,064,906,148,955,599,436,096,887,497,619,098,113,544,253,842,717,
520,869,225,550,957,124,624,674,955,381,916,699,251,112,779,883,534,599,459,
488,440,887,836,977,027,434,561,241,497,461,054,904,877,815,694,152,910,917,
369,016,304,436,878,337,538,142,664,975,547,165,764,809,324,875,320,727,628,
442,456,880,764,000,302,336,306,976,978,947,389,360,636,594,933,549,452,064,
957,167,528,578,415,388,461,610,377,711,581,581,850,981,283,035,921,145,676,
009,734,927,601,514,538,545,427,245,938,430,993,047,103,546,060,084,090,291,
575,772,060,887,752,467,951,269,973,188,578,724,385,773,541,393,029,688,915,
078,759,541,090,062,430,507,498,612,089,662,277,117,623,137,058,610,735,337,
180,256,642,798,869,403,880,123,445,267,403,434,048,203,312,398,557,593,075,
150,339,608,645,816,416,811,517,658,307,137,661,927,321,620,413,682,164,694,
901,107,195,820,668,317,577,236,712,242,504,633,912,364,823,947,752,927,841,
829,112,669,337,961,286,020,113,731,107,768,160,266,027,274,286,088,709,261,
428,010,280,224,621,069,387,084,979,008,394,715,748,689,237,116,157,370,469,
947,996,523,444,086,710,076,948,148,214,096,494,133,127,172,208,599,559,603,
823,776,036,586,869,428,507,818,028,324,119,349,725,422,062,775,742,681,507,
284,548,048,799,831,857,908,285,824,007,967,478,446,062,935,455,373,853,417,
779,899,477,783,633,603,963,827,420,068,640,077,590,911,459,505,106,826,692,
993,063,690,696,140,824,052,636,947,534,074,645,218,598,010,887,691,967,960,
172,941,421,091,010,161,224,790,923,752,134,247,672,008,217,562,692,687,208,
062,289,986,539,787,281,678,156,146,798,731,718,680,262,884,593,401,100,050,
004,406,818,468,697,973,188,440,626,561,991,053,316,691,348,472,681,238,327,
625,556,944,128,583,024,880,493,134,664,147,597,825,512,942,713,215,105,908,
482,681,137,685,150,590,073,190,218,155,365,445,440,623,795,948,179,044,888,
929,847,136,710,087,054,699,757,016,772,388,391,774,855,257,702,771,089,285,
396,501,826,173,527,018,097,086,053,369,638,633,839,484,903,580,541,648,329,
744,891,979,798,624,207,296,935,286,350,924,312,335,691,185,615,897,736,272,
797,239,313,404,009,600,740,016,589,536,010,525,780,492,417,968,901,917,675,
442,994,581,732,005,284,637,925,801,849,654,802,079,143,548,206,915,670,961,
415,366,960,365,528,542,321,140,209,832,376,766,045,954,958,191,993,494,255,
199,821,699,085,894,985,656,226,217,392,264,047,239,687,203,408,442,717,325,
857,321,514,285,066,558,351,958,143,568,924,460,088,832,876,676,021,472,475,
454,870,997,306,042,130,091,161,013,029,814,432,463,918,547,039,415,973,174,
219,287,462,279,358,364,808,977,835,405,028,000,350,361,304,724,691,541,088,
477,465,709,501,897,142,594,904,733,265,497,248,560,491,911,217,223,303,463,
538,245,290,119,829,758,714,350,032,176,125,660,833,428,641,752,550,347,874,
804,880,417,171,498,370,479,950,536,081,489,765,035,881,616,150,199,873,953,
294,455,764,766,279,414,607,220,668,892,484,396,178,499,320,504,884,874,322,
169,600,613,039,781,986,736,575,118,123,131,106,473,625,381,693,626,944,135,
881,539,067,411,297,029,056,106,157,126,625,424,929,754,508,620,150,974,287,
863,696,014,333,607,791,973,775,459,085,891,884,492,091,700,494,915,835,207,
502,148,377,329,356,468,116,720,186,085,356,897,497,944,355,445,827,582,585,
113,899,526,759,616,856,104,933,725,907,342,433,421,884,778,058,404,796,505,
726,494,126,968,070,557,175,496,900,533,032,028,032,837,350,318,537,608,341,
407,962,582,007,646,625,759,003,004,688,584,510,889,691,393,196,986,131,532,
190,329,765,374,789,728,168,077,046,808,594,661,208,279,217,726,593,949,699,
037,257,125,324,052,213,645,272,902,464,682,608,518,204,682,013,025,958,411,
676,937,125,069,334,867,636,738,293,116,298,449,459,437,665,880,404,854,605,
656,695,165,267,747,729,150,218,730,713,814,617,223,658,897,372,832,567,921,
312,513,259,052,975,135,368,860,689,117,322,137,653,944,479,344,720,213,848,
357,223,663,425,513,100,817,729,205,714,054,777,352,734,626,665,848,092,448,
431,384,772,725,768,275,690,303,368,224,165,273,994,716,570,587,833,189,519,
196,484,981,211,698,650,922,490,866,640,051,651,550,361,558,526,454,635,223,
822,303,037,574,853,196,272,517,704,039,088,362,220,589,543,346,311,626,479,
423,305,980,618,111,191,757,392,156,181,120,373,771,056,571,781,838,089,515,
964,653,633,292,849,478,324,265,719,214,599,222,397,746,097,010,042,504,727,
479,005,136,199,878,170,996,496,797,698,140,537,654,839,631,118,287,808,052,
370,376,438,038,075,378,239,132,680,843,015,981,712,108,036,313,041,639,368,
997,503,673,084,483,728,146,635,571,307,692,311,694,763,544,278,951,977,088,
821,731,036,832,755,015,818,027,902,254,508,683,421,948,572,749,715,296,282,
057,661,748,106,994,843,590,780,900,327,699,613,027,928,447,119,228,239,922,
791,443,657,484,259,740,156,668,760,022,126,354,383,276,901,010,634,347,872,
316,131,097,268,425,304,454,769,127,065,621,649,608,444,529,566,921,486,418,
571,044,279,449,580,555,224,114,518,343,951,012,069,348,158,509,865,007,499,
303,930,153,686,201,238,251,857,357,872,432,055,085,338,334,004,640,027,155,
901,816,624,048,152,734,030,690,347,954,170,855,691,514,771,176,252,919,582,
070,201,997,848,317,623,850,181,728,090,690,755,681,892,945,412,167,665,369,
452,112,779,503,563,087,281,404,960,755,349,367,761,959,279,013,916,056,103,
088,351,909,431,863,473,962,263,893,740,329,840,515,692,773,180,071,459,005,
762,361,713,548,360,233,551,913,811,911,662,575,121,693,108,776,715,122,691,
428,874,143,990,857,588,733,003,596,785,811,589,547,740,835,335,168,061,681,
535,389,549,144,962,573,721,915,041,655,218,162,735,312,703,758,546,182,715,
959,385,174,814,537,268,757,423,670,215,511,511,756,374,409,121,900,466,669,
412,931,915,504,367,595,175,574,050,909,072,018,016,996,924,452,352,829,616,
136,619,506,985,454,305,926,253,212,067,470,166,561,490,760,197,023,926,701,
672,116,445,985,402,856,179,544,641,092,344,453,462,961,112,438,167,776,793,
776,510,019,108,671,218,134,415,348,844,369,323,191,245,569,370,988,636,262,
767,103,063,942,622,143,116,277,540,064,563,303,967,839,493,956,041,799,082,
049,674,082,569,847,635,706,768,629,825,852,019,895,213,255,750,053,395,828,
999,976,695,750,372,625,741,358,014,232,503,546,732,268,141,744,757,120,513,
596,567,735,477,337,809,047,937,214,897,073,828,506,302,134,247,192,161,470,
261,310,143,098,166,948,804,988,722,874,417,918,258,578,432,543,352,557,133,
311,582,260,416,922,641,694,763,129,868,374,488,689,795,538,850,236,228,635,
857,011,745,451,225,507,244,093,910,986,383,792,397,992,170,986,670,252,240,
229,686,400,175,113,934,078,793,354,621,388,595,097,391,553,622,433,753,865,
547,594,693,436,117,553,247,783,613,147,512,935,093,548,241,622,346,039,457,
939,213,636,360,722,585,922,074,281,693,325,017,233,903,653,571,102,255,893,
552,460,416,850,272,144,621,436,406,937,161,690,044,107,100,450,552,720,444,
781,898,831,147,728,234,378,998,562,517,395,094,621,896,698,797,039,274,243,
446,298,057,710,824,785,846,336,596,391,237,487,256,134,572,069,664,213,424,
720,208,303,752,742,746,259,715,088,009,808,539,032,680,498,013,596,487,576,
289,211,775,407,829,866,915,021,813,039,512,286,629,581,861,059,817,662,484,
604,527,356,705,439,948,985,812,106,760,092,750,674,777,928,421,401,655,219,
459,617,466,692,143,930,987,102,439,352,652,173,212,016,281,917,542,490,486,
517,553,020,199,943,590,293,997,527,731,863,950,288,895,095,431,400,011,436,
232,880,338,202,923,777,921,017,435,631,792,719,630,274,664,204,480,088,775,
577,987,295,003,178,666,555,803,622,998,675,836,651,311,555,527,780,333,724,
936,771,731,223,477,314,003,725,991,749,756,695,957,897,578,552,244,323,888,
507,446,624,490,398,898,919,322,299,257,597,681,451,555,295,770,683,979,352,
046,841,297,610,867,900,711,330,246,811,410,744,862,082,775,779,129,399,059,
392,049,138,316,637,735,840,248,316,499,109,811,799,715,135,211,301,000,095,
302,723,738,059,982,921,457,847,731,994,193,397,608,573,757,732,683,460,284,
729,029,682,393,073,660,412,122,803,457,474,800,218,220,344,489,399,048,803,
204,337,725,166,566,170,849,379,826,203,661,746,840,940,742,790,011,309,512,
839,090,545,277,089,073,796,350,312,528,787,188,508,240,435,351,449,317,007,
131,809,894,190,846,458,267,814,883,646,313,865,896,671,295,234,193,083,726,
779,265,282,202,895,886,398,080,475,283,720,001,415,980,402,746,636,648,801,
788,908,462,713,174,620,030,603,952,925,995,251,197,673,512,850,736,303,591,
143,441,263,891,271,977,853,900,692,269,143,790,033,992,553,769,897,891,466,
732,289,476,426,177,510,564,591,563,987,341,501,607,362,394,641,977,023,830,
419,206,444,072,834,263,087,208,694,430,563,340,028,184,647,899,160,534,710,
932,087,000,940,405,364,707,669,884,625,063,312,559,850,792,993,662,140,921,
677,962,537,553,259,033,872,827,802,486,045,976,523,843,375,248,489,792,302,
509,761,408,877,654,072,175,219,516,733,916,173,407,874,038,349,619,075,673,
782,361,770,179,328,961,934,750,320,732,517,673,665,923,620,239,637,643,496,
224,179,762,074,886,095,423,292,971,883,211,892,641,914,781,657,102,577,800,
011,927,601,437,981,920,779,898,417,713,731,698,156,250,743,539,782,640,624,
578,351,159,962,542,205,637,526,065,631,936,910,336,847,050,160,782,852,657,
800,686,700,782,817,387,719,910,332,075,085,533,107,849,691,513,751,655,219,
240,397,261,345,888,364,834,892,176,164,433,982,750,438,054,306,594,787,331,
836,699,187,365,040,937,597,357,871,349,113,093,806,321,160,621,723,563,390,
406,872,266,911,897,185,828,158,600,635,770,524,680,092,769,988,642,964,875,
779,906,533,984,052,989,589,249,443,778,226,243,123,798,046,765,717,528,173,
455,437,162,114,932,819,594,170,431,018,889,083,950,457,553,625,140,077,560,
007,777,258,046,737,602,794,111,984,169,547,941,464,382,517,468,150,592,565,
154,142,936,499,339,930,571,676,914,352,350,257,612,515,745,081,491,583,176,
314,438,316,776,475,896,023,304,460,735,377,995,243,378,042,538,032,578,516,
850,776,827,953,952,725,526,358,780,165,215,112,189,457,019,595,823,827,606,
948,581,882,036,976,860,881,902,358,617,306,177,695,577,137,761,796,004,811,
718,641,843,855,446,131,137,160,030,571,843,023,128,230,142,223,622,445,989,
420,806,342,099,121,550,856,781,951,617,618,725,523,071,339,304,577,546,690,
936,501,997,265,564,164,299,325,172,132,054,822,131,896,901,711,286,308,938,
343,832,356,249,475,767,348,627,191,715,530,009,435,831,333,575,217,154,719,
756,210,877,065,964,570,351,180,646,240,797,661,334,206,183,331,498,690,261,
126,145,961,204,566,657,247,069,540,381,988,710,274,255,637,068,317,595,473,
995,135,126,918,274,798,904,472,560,313,924,588,309,636,871,681,350,512,603,
726,553,518,772,388,083,268,931,187,531,471,514,196,919,738,734,595,099,519,
234,844,337,217,563,744,508,370,952,522,192,914,737,593,332,325,616,630,681,
311,526,257,757,471,939,580,259,844,542,709,234,421,641,105,569,591,071,982,
992,068,856,861,649,066,779,426,464,073,791,414,856,353,060,225,617,816,930,
444,274,474,671,123,724,984,431,745,228,575,111,339,799,635,145,786,804,740,
632,708,904,741,334,282,379,288,786,277,230,622,027,860,373,993,354,637,037,
643,117,269,416,190,160,099,312,216,286,971,772,101,414,658,227,855,009,946,
065,976,312,364,277,229,075,612,596,152,877,539,267,032,394,791,080,453,845,
622,059,121,862,630,006,567,115,814,541,830,285,746,727,870,949,468,381,945,
132,837,753,325,358,278,849,885,991,872,613,956,311,208,141,364,629,052,184,
712,498,904,624,174,267,092,517,852,347,657,967,066,719,423,132,095,532,562,
876,539,344,363,554,809,611,669,742,911,561,256,982,076,508,199,105,345,331,
378,155,466,560,357,198,643,173,295,936,488,948,055,500,961,101,346,512,427,
884,135,353,147,706,480,984,244,309,299,876,004,578,885,189,321,623,864,701,
014,661,053,773,121,157,836,457,092,751,475,081,686,405,327,569,591,871,345,
192,048,144,799,166,962,077,428,692,414,359,390,463,658,988,082,446,640,678,
838,789,744,437,295,141,893,255,800,043,591,099,753,463,694,685,711,349,688,
490,281,464,772,049,272,224,654,803,801,045,917,182,591,242,464,167,867,135,
436,646,441,564,722,691,358,887,629,065,064,138,835,177,897,097,413,267,030,
814,447,461,334,738,298,796,728,296,436,571,466,208,701,819,602,638,973,077,
497,618,402,480,626,143,455,255,626,780,107,130,045,320,378,376,338,200,995,
624,717,545,944,014,641,330,458,654,081,500,826,185,310,037,500,071,360,360,
073,969,739,002,442,688,281,454,071,323,734,966,138,253,435,934,434,945,665,
991,682,648,109,860,280,398,188,860,292,978,438,015,287,275,168,457,067,695,
254,531,676,900,890,256,308,999,204,320,872,288,771,822,796,444,079,973,603,
866,948,082,609,486,674,643,726,250,878,754,580,410,399,920,528,834,763,985,
228,221,965,256,661,940,837,403,944,394,100,258,669,883,874,056,434,251,878,
515,946,249,914,607,232,026,416,924,742,127,287,549,198,732,513,186,474,093,
609,856,385,530,314,125,930,203,376,766,584,960,548,735,798,265,743,994,987,
489,676,672,949,723,617,486,599,827,575,332,421,589,164,457,573,938,042,349,
987,986,377,053,023,079,124,752,350,782,141,580,271,228,746,934,617,829,133,
995,758,694,690,570,561,885,543,821,782,600,754,830,069,418,444,892,953,334,
571,285,317,738,786,127,676,919,660,584,869,469,714,674,149,871,949,250,886,
735,938,621,183,379,671,161,711,901,818,621,284,968,843,108,026,980,912,347,
039,221,559,928,339,035,442,534,855,574,340,808,606,289,513,145,482,456,512,
105,045,399,652,000,499,999,347,246,623,538,485,974,789,176,353,623,845,512,
633,084,394,505,230,567,076,645,197,731,954,019,473,611,358,240,243,849,596,
234,340,363,222,318,504,180,371,698,718,263,811,075,370,143,725,853,765,138,
535,376,903,516,358,112,146,396,385,808,287,066,412,061,216,650,518,047,937,
113,172,470,848,292,070,147,532,738,103,124,540,637,160,498,286,738,263,592,
885,527,957,016,866,740,998,676,887,809,313,064,752,171,350,777,916,052,663,
722,145,761,704,651,974,725,807,472,868,194,293,026,185,728,409,998,131,978,
669,362,646,024,699,834,305,171,986,440,946,717,999,631,112,801,253,155,645,
166,198,211,974,834,358,505,644,756,411,252,102,846,584,459,100,461,579,333,
461,619,181,504,076,347,357,168,175,457,174,147,170,271,488,096,817,587,442,
319,080,409,182,203,389,625,864,253,096,957,801,548,002,012,537,672,653,406,
207,717,275,058,357,230,321,762,138,443,295,418,227,534,303,984,542,116,312,
951,551,199,170,353,911,916,476,539,111,763,898,615,664,760,025,970,282,427,
198,342,828,071,920,044,815,213,607,027,802,164,042,125,024,312,059,851,246,
730,451,968,272,296,107,235,709,399,957,490,320,408,454,691,183,039,001,566,
158,223,133,741,116,802,474,567,154,027,820,630,921,381,178,817,859,495,135,
448,470,047,009,846,463,896,391,476,461,044,322,941,434,075,933,199,030,675,
880,074,817,396,032,073,798,951,324,145,396,996,515,641,547,684,301,877,878,
703,978,806,680,455,652,318,259,928,138,898,694,438,357,694,753,541,114,807,
688,925,525,622,300,516,769,000,087,559,794,995,577,655,987,871,986,172,834,
385,779,896,528,879,662,724,667,429,908,378,515,721,194,263,901,825,187,299,
443,128,702,418,492,272,726,691,610,479,753,624,321,384,264,897,847,974,494,
569,022,247,656,341,643,477,222,603,201,166,458,180,631,173,739,444,724,735,
394,520,171,923,109,738,484,205,389,637,125,352,233,124,418,195,097,196,515,
308,354,858,363,656,168,990,935,013,794,716,081,778,898,081,081,050,410,998,
025,491,073,704,518,649,922,117,148,364,481,406,554,115,918,169,739,383,223,
572,179,214,888,340,582,040,144,707,809,498,798,297,444,665,591,069,861,723,
550,942,454,694,469,067,831,540,473,962,253,995,583,554,664,427,672,320,094,
960,100,875,666,517,599,178,213,485,621,747,935,211,334,039,285,096,552,757,
576,186,257,849,991,617,440,701,160,816,149,208,509,727,030,093,041,713,146,
307,765,249,729,611,400,729,524,847,429,764,467,052,133,271,997,979,509,934,
763,094,351,719,215,768,759,112,782,643,719,085,396,391,004,317,605,421,856,
003,034,978,678,877,970,225,644,081,341,639,959,444,236,253,792,886,200,686,
049,746,710,826,152,668,267,763,554,433,970,987,965,732,017,327,404,078,793,
402,803,168,900,383,294,706,808,980,461,472,080,990,594,492,448,299,931,550,
527,101,219,288,159,631,570,035,234,037,643,132,067,666,855,083,133,512,879,
576,525,966,884,318,653,995,911,656,017,361,064,402,246,400,192,339,992,124,
203,337,592,627,903,723,769,525,842,898,550,431,743,763,445,008,839,841,104,
006,348,338,315,588,858,103,142,496,051,038,483,788,018,246,720,613,174,872,
195,738,000,466,994,447,560,201,956,780,263,536,259,678,035,383,704,684,607,
036,279,223,566,040,703,814,125,192,070,380,100,680,790,658,049,683,472,015,
612,590,173,313,109,932,213,619,465,632,879,963,947,214,919,128,145,959,455,
121,354,120,573,423,426,875,541,890,222,996,353,334,954,542,663,803,119,435,
366,707,980,227,430,983,130,325,323,133,455,420,050,583,581,322,416,625,923,
567,527,371,988,640,227,491,264,556,590,855,994,478,630,341,472,819,449,149,
088,336,714,853,056,899,956,667,588,965,117,643,773,903,120,006,132,113,651,
225,916,815,373,611,450,428,026,103,609,186,649,216,727,186,075,478,344,614,
067,531,604,252,208,660,629,994,395,265,025,959,503,383,678,235,930,596,195,
246,006,702,695,222,790,314,470,794,492,356,473,522,304,472,860,085,881,808,
990,542,835,568,322,050,549,003,220,733,234,796,001,018,508,080,034,381,237,
319,244,249,789,584,989,829,690,180,907,751,528,535,010,932,886,501,501,307,
557,912,263,907,541,478,999,339,132,695,275,001,958,008,438,099,340,206,521,
437,684,517,015,926,349,197,604,569,437,895,405,426,197,418,862,674,644,314,
539,062,529,884,180,365,355,478,498,417,847,174,916,409,857,773,716,579,559,
118,873,975,154,264,676,161,202,629,999,879,527,037,396,120,896,990,613,651,
754,347,172,534,922,507,861,276,924,791,652,604,485,862,476,697,610,487,268,
337,889,896,692,323,936,550,457,024,141,521,772,214,569,874,167,587,689,179,
328,046,999,169,163,205,515,267,384,926,998,684,001,478,822,344,048,965,392,
491,423,639,052,730,238,593,250,398,987,265,365,859,192,518,213,031,812,018,
246,836,457,010,670,720,028,120,541,608,102,081,740,819,375,859,763,086,614,
342,722,242,555,298,008,008,579,296,891,712,842,839,209,147,035,427,738,415,
005,535,671,508,727,633,906,195,681,234,074,897,268,901,747,976,005,477,399,
142,155,108,035,649,409,630,966,072,647,476,258,293,556,850,262,233,639,297,
645,931,954,727,982,612,749,496,514,423,351,861,117,555,515,326,783,324,525,
881,420,855,929,184,343,768,533,626,437,340,813,274,837,223,965,584,537,737,
754,667,097,515,073,334,840,085,926,673,722,612,712,935,229,107,203,329,218,
660,190,408,207,677,002,871,350,385,019,194,269,865,844,469,990,212,692,451,
508,555,405,224,463,131,836,942,339,277,434,805,385,921,505,644,017,086,158,
783,875,415,509,822,207,176,008,149,439,276,157,056,669,182,971,554,788,620,
066,228,311,938,444,434,179,864,822,306,985,387,106,548,436,952,866,193,348,
958,065,412,064,400,291,826,783,264,604,453,237,666,792,007,502,565,075,002,
155,839,900,307,078,669,478,078,485,852,573,536,497,047,131,819,104,034,869,
577,412,216,119,786,105,564,186,215,581,821,764,978,149,878,854,141,522,040,
148,315,125,608,260,995,409,591,050,993,544,802,872,283,712,604,591,228,097,
878,917,308,917,067,338,759,385,946,326,814,874,351,709,512,003,974,643,421,
538,721,978,056,824,507,640,090,282,500,864,064,279,267,843,034,998,676,731,
198,694,606,828,223,753,881,660,074,239,326,131,014,057,907,456,237,599,128,
273,808,128,238,137,954,478,314,711,852,107,902,961,257,901,070,055,848,235,
425,143,994,412,655,858,057,242,024,062,928,098,700,770,860,332,216,185,651,
895,554,142,041,059,749,567,172,507,208,688,730,301,198,957,488,123,646,407,
202,190,725,481,938,478,910,012,711,416,361,959,923,793,617,842,923,723,734,
823,346,034,422,007,388,384,717,157,730,724,164,523,141,656,771,253,022,573,
216,010,422,513,085,798,448,335,938,039,794,774,659,418,101,551,270,729,445,
496,880,476,738,352,329,812,733,076,076,027,634,249,670,479,242,447,998,252,
201,320,383,261,564,394,438,470,683,685,080,180,095,038,581,920,298,584,713,
156,803,986,110,422,395,116,784,333,616,752,288,304,742,020,431,794,334,032,
700,670,512,362,520,857,932,580,858,079,126,868,759,007,841,492,254,344,354,
285,624,402,574,894,203,811,788,516,422,176,490,536,523,568,748,879,718,783,
017,363,806,434,562,814,326,797,209,234,612,755,957,468,899,178,057,128,355,
026,447,694,264,758,608,275,085,663,987,688,485,022,107,851,474,670,417,247,
964,060,524,308,467,833,164,409,517,338,222,686,886,951,276,334,905,163,588,
014,236,177,280,968,617,623,981,782,378,740,821,987,165,089,842,319,503,771,
895,160,991,401,510,807,943,941,784,917,957,093,484,164,290,309,573,838,661,
398,224,212,600,553,219,512,198,547,200,982,636,589,045,869,692,150,548,435,
936,892,650,766,521,671,392,345,117,953,252,176,458,534,802,634,098,154,768,
501,427,776,297,664,133,607,414,152,139,106,879,449,995,290,194,803,082,890,
022,214,598,796,195,732,517,638,799,506,720,134,219,878,542,452,151,871,177,
051,543,815,520,307,961,512,386,843,422,496,352,335,235,291,380,101,751,475,
791,971,786,017,935,804,148,083,649,551,994,962,797,548,840,300,531,964,011,
263,231,511,678,411,984,442,605,753,496,722,822,388,149,114,143,314,617,420,
813,775,212,712,515,583,896,004,671,644,513,592,724,075,782,740,010,525,639,
806,098,360,073,488,096,082,586,297,763,401,424,884,092,325,267,522,171,303,
506,588,143,230,107,986,819,859,912,747,745,605,558,539,943,764,406,735,378,
362,611,500,040,533,392,889,649,488,169,268,292,158,343,175,864,476,750,619,
592,360,451,665,871,226,846,849,665,159,404,455,888,620,570,278,568,211,698,
311,548,200,276,247,673,534,753,846,377,059,634,689,216,184,423,787,243,612,
590,393,647,844,335,860,654,082,621,864,394,884,855,252,087,307,779,435,429,
993,775,473,313,492,170,117,490,660,708,071,907,217,978,227,259,609,918,057,
558,985,134,631,965,838,604,194,218,904,310,713,066,597,446,200,212,584,388,
951,355,929,139,259,691,610,289,940,439,518,907,517,561,309,087,760,717,678,
067,220,823,635,183,975,683,841,187,803,058,005,838,995,362,381,300,594,183,
237,155,840,912,745,743,052,013,205,643,023,928,446,382,254,939,268,712,042,
055,745,589,914,283,469,426,532,174,383,503,829,314,003,999,960,321,642,219,
795,840,486,843,810,869,743,281,997,251,804,050,519,481,589,675,904,015,783,
209,649,102,310,901,774,696,718,292,533,735,552,262,886,448,942,127,645,724,
618,952,301,715,789,925,737,376,137,236,194,659,659,527,136,014,619,600,743,
690,365,839,099,977,100,158,089,732,753,118,645,897,678,982,165,861,316,556,
136,199,807,646,457,808,657,334,439,860,966,195,989,876,287,639,493,442,657,
827,769,180,264,230,873,927,468,038,623,834,475,450,781,416,045,835,861,146,
189,224,066,202,054,669,960,595,957,479,289,765,269,219,290,232,948,233,656,
640,398,537,644,300,910,432,380,639,167,971,587,552,482,246,850,623,221,761,
467,032,661,452,814,077,278,079,250,417,358,156,004,597,890,747,560,660,807,
767,591,459,713,068,314,594,687,532,904,037,511,977,880,400,753,083,470,152,
478,323,693,399,332,350,435,463,914,195,088,993,588,110,968,570,478,070,754,
302,981,780,046,930,356,393,079,401,035,135,287,434,285,780,709,793,385,166,
492,198,911,770,070,378,719,693,469,961,607,036,355,939,323,645,465,861,179,
761,567,189,376,540,218,250,446,557,690,753,062,318,068,807,754,033,469,841,
220,285,674,643,275,333,854,516,606,087,033,413,186,280,770,962,009,675,796,
774,772,904,618,894,124,375,129,605,003,496,739,884,135,031,542,527,438,901,
810,229,751,263,769,863,562,406,428,625,332,514,318,935,243,419,399,779,805,
173,153,478,266,435,144,242,357,586,797,546,331,142,604,444,561,240,549,274,
200,995,977,195,723,721,547,054,324,691,888,544,734,512,361,785,443,545,946,
019,844,514,327,522,892,446,273,057,828,857,587,388,395,025,581,737,532,249,
689,189,011,887,704,644,879,028,504,182,294,255,521,604,920,895,025,249,234,
792,568,286,327,161,046,769,263,386,298,271,344,139,257,898,764,269,340,577,
261,579,027,170,191,304,124,607,643,418,636,421,549,057,252,574,833,302,137,
761,792,265,983,434,464,333,325,116,129,724,232,846,489,699,038,186,308,617,
267,779,940,537,372,322,941,359,804,838,019,574,515,129,632,782,387,257,250,
342,430,791,649,858,489,596,396,159,036,259,640,824,283,755,367,127,982,784,
732,383,712,197,055,580,990,374,787,380,386,492,502,413,013,911,651,234,846,
708,839,667,532,509,991,592,069,431,789,816,266,665,879,022,803,171,916,013,
836,251,234,124,315,022,060,984,290,355,663,969,378,711,363,208,638,513,915,
172,636,615,831,181,089,390,092,412,293,832,172,128,955,787,624,112,945,549,
507,003,726,346,950,370,507,928,263,955,753,048,752,758,053,516,761,324,791,
440,556,239,102,532,013,801,246,738,766,261,848,381,201,254,254,917,393,747,
859,696,769,458,273,379,489,056,327,911,849,875,911,457,136,319,707,221,469,
802,421,444,262,014,907,976,716,473,831,365,327,459,320,271,151,309,052,135,
369,554,140,643,213,619,354,857,995,987,510,660,687,633,735,079,175,340,391,
772,822,393,782,712,987,420,596,760,719,149,140,515,457,458,955,646,088,334,
685,759,530,417,081,347,599,215,051,962,519,206,873,389,330,553,020,393,604,
684,154,135,517,853,730,266,716,822,045,770,841,791,773,721,575,920,391,746,
327,499,395,004,720,202,115,883,310,533,436,170,343,372,103,359,620,504,652,
606,693,798,246,337,834,647,096,353,997,084,132,254,722,610,988,996,529,094,
197,729,342,925,899,337,446,057,403,109,478,711,100,491,736,880,082,749,202,
591,059,636,731,560,832,178,782,544,290,884,466,419,478,745,253,013,043,752,
593,144,033,456,203,532,835,626,484,773,230,007,868,738,841,759,326,295,517,
685,979,610,020,824,680,803,094,439,745,266,665,577,360,139,213,029,247,654,
332,786,689,545,792,247,951,757,514,258,300,346,186,589,593,620,032,149,307,
165,436,902,185,452,536,768,579,515,831,768,488,670,473,067,629,332,668,662,
164,437,392,825,540,194,833,229,871,915,784,510,911,884,445,446,027,704,538,
172,065,396,703,660,692,072,521,140,721,193,244,617,728,692,290,994,648,999,
766,690,051,637,732,125,038,485,706,531,465,131,719,416,590,836,258,276,980,
844,608,490,695,951,236,406,736,280,022,835,170,526,683,358,910,408,815,823,
642,526,731,233,679,855,895,741,537,685,496,484,253,312,069,626,513,624,603,
913,336,177,076,049,471,862,729,628,266,537,704,302,373,977,431,424,556,092,
377,252,567,528,824,780,897,801,095,967,989,106,991,673,268,833,092,359,206,
924,550,565,085,384,924,024,699,471,540,106,811,051,480,636,409,703,570,317,
758,663,566,484,593,973,222,708,749,632,726,501,341,502,980,927,134,285,953,
490,482,349,074,205,931,268,371,409,061,463,237,210,164,963,328,446,781,940,
494,658,785,161,867,352,504,039,666,667,136,976,104,378,447,561,534,560,448,
252,794,165,716,584,444,637,586,623,137,000,800,365,893,795,592,732,218,843,
620,996,506,499,862,496,220,676,537,143,365,450,312,541,794,071,860,447,220,
389,402,509,474,056,414,803,388,043,076,867,033,992,591,246,594,576,901,902,
722,489,519,373,762,494,281,331,440,775,186,928,884,917,285,649,699,198,225,
799,314,399,737,474,022,402,431,441,611,412,397,759,376,449,763,490,400,839,
819,821,242,356,307,854,761,356,603,414,474,226,406,325,345,120,647,827,520,
188,435,062,916,318,090,149,160,024,180,235,161,825,998,730,037,816,241,091,
243,405,874,269,798,682,422,186,906,421,862,004,359,815,384,443,151,958,551,
895,403,771,135,972,329,662,060,532,813,959,368,100,644,613,355,418,789,715,
142,145,720,005,949,323,967,075,633,165,712,180,325,793,278,369,577,141,423,
600,397,116,442,557,865,828,399,035,425,100,410,797,597,819,696,551,936,039,
616,716,716,078,472,935,002,382,550,362,711,810,871,043,385,637,486,111,291,
030,248,599,565,852,589,367,233,855,932,611,051,663,377,636,493,064,572,868,
435,667,886,787,498,659,449,398,802,008,527,757,948,490,181,698,418,919,464,
813,034,332,277,319,665,086,939,551,666,060,970,925,568,972,745,221,809,508,
408,618,457,572,415,651,120,139,242,546,061,161,894,086,744,108,805,853,459,
091,928,407,264,895,002,154,348,713,793,009,309,825,321,397,828,963,417,182,
019,298,384,341,843,770,781,131,501,057,655,535,856,231,344,269,658,718,656,
372,452,694,203,343,426,725,886,263,552,561,295,498,017,650,811,250,220,404,
946,542,273,356,663,939,411,854,225,108,004,424,757,314,403,564,607,292,230,
742,785,313,192,850,904,497,822,823,545,930,926,199,098,138,378,563,553,992,
329,358,864,159,337,419,086,911,074,665,281,133,779,986,590,039,024,649,941,
369,638,481,573,150,705,213,841,650,410,154,086,932,089,947,074,711,204,143,
758,933,844,415,304,757,284,111,882,895,583,531,720,866,834,560,802,578,866,
326,290,827,189,333,096,248,441,124,702,917,156,520,936,857,159,601,877,241,
441,362,480,973,814,934,922,797,538,518,563,117,382,434,418,172,700,956,375,
975,326,863,947,985,285,497,032,375,574,355,535,132,216,726,118,852,113,580,
446,115,938,279,878,049,479,785,594,876,714,926,576,541,856,384,315,191,669,
582,380,270,926,084,160,891,071,954,289,995,082,262,219,401,684,386,291,065,
009,589,053,697,157,552,806,887,666,402,908,163,183,216,443,417,513,425,519,
424,292,523,439,624,820,775,156,524,758,778,084,118,831,809,545,871,746,450,
770,308,396,862,458,499,819,057,950,773,911,294,461,850,540,490,666,649,524,
758,611,541,839,104,994,769,887,850,176,148,375,525,829,988,833,351,837,774,
865,218,677,982,201,420,578,708,480,807,166,154,115,251,601,287,403,835,251,
355,870,828,849,315,925,783,491,357,985,019,306,800,800,664,443,336,824,550,
144,178,971,824,279,127,612,538,619,832,052,323,756,399,860,633,962,127,126,
286,068,971,122,876,677,048,231,964,654,938,358,773,794,088,156,048,393,760,
460,933,813,144,615,823,759,799,904,398,764,376,563,464,086,244,990,061,249,
114,048,029,358,271,140,200,312,608,570,481,599,437,371,692,230,117,748,648,
371,555,262,778,827,498,852,579,055,749,892,116,997,349,087,665,278,540,126,
729,029,294,974,387,571,476,933,476,060,122,661,147,624,228,628,213,259,787,
204,062,620,840,002,333,568,471,915,446,038,673,502,653,382,787,870,600,663,
434,438,471,351,740,571,112,937,746,424,607,626,553,914,667,902,481,042,662,
481,845,194,727,041,419,161,773,510,657,428,346,904,746,874,210,175,286,716,
226,018,441,715,793,422,996,686,577,495,054,358,140,757,826,148,491,032,936,
716,649,712,117,147,387,053,064,900,691,857,901,921,450,892,216,706,291,055,
494,428,021,316,174,451,314,694,057,448,938,406,176,695,372,582,063,383,316,
759,109,572,055,206,031,166,245,324,832,056,737,182,559,737,223,568,569,653,
079,774,345,853,042,620,720,240,111,333,073,479,172,524,745,859,148,852,463,
049,356,987,033,978,741,842,553,038,705,137,234,965,345,564,260,422,448,416,
791,498,077,203,099,561,955,713,639,288,287,200,838,069,819,060,477,561,874,
094,729,376,070,209,481,181,538,626,851,357,488,821,106,505,204,430,707,159,
464,132,045,549,969,506,284,109,685,683,168,125,648,624,042,322,028,476,603,
564,294,246,704,999,013,281,468,347,767,278,507,795,398,338,048,538,739,056,
979,894,377,286,586,461,636,386,649,445,433,303,775,507,776,400,843,686,428,
982,828,912,232,527,253,148,351,976,397,834,356,994,712,461,244,458,637,235,
948,218,959,174,203,527,174,304,445,651,161,057,130,434,246,101,026,395,788,
105,274,969,723,535,914,354,493,157,032,112,161,897,802,610,594,602,402,158,
382,501,687,927,175,661,417,010,192,729,205,469,587,505,355,082,797,100,234,
652,872,954,300,521,124,082,098,496,971,478,865,538,528,330,552,238,445,072,
989,367,274,991,392,953,329,618,993,033,395,732,429,701,592,304,992,465,181,
876,948,163,481,994,319,322,396,821,065,235,960,330,958,448,652,857,282,012,
548,018,266,142,198,263,066,755,046,621,887,054,974,203,375,931,465,465,903,
606,098,556,789,289,643,622,699,390,124,591,901,220,817,425,237,394,475,990,
647,803,190,452,555,294,368,630,077,421,671,517,088,558,869,389,578,010,413,
561,216,905,216,896,912,850,987,797,220,108,580,580,733,883,339,332,924,942,
057,147,955,200,685,309,799,736,292,402,810,285,132,959,591,804,676,496,353,
077,545,623,790,368,457,257,433,917,856,785,280,341,434,921,563,893,378,180,
319,795,752,736,001,846,377,095,676,954,208,936,590,342,041,749,282,079,967,
504,501,376,054,554,880,307,232,632,355,125,667,472,824,703,912,430,247,161,
103,547,249,952,899,208,568,778,195,836,928,316,995,092,362,780,819,548,123,
085,060,366,557,925,502,611,643,902,750,896,137,962,545,146,407,210,081,116,
994,930,089,907,759,130,906,245,531,477,765,055,038,119,257,357,863,769,569,
251,247,643,825,339,676,649,064,772,687,099,653,872,239,158,451,327,010,093,
312,717,046,972,666,750,276,544,963,785,454,713,936,173,619,182,301,748,048,
922,084,231,539,731,878,197,499,156,711,132,469,942,479,408,838,065,001,066,
309,694,027,807,237,625,392,125,924,433,980,306,485,831,530,072,298,784,245,
539,058,807,949,405,155,693,313,387,122,870,986,499,632,128,800,828,431,806,
842,089,429,200,978,670,214,974,218,559,632,071,089,511,962,061,699,861,246,
196,313,924,168,193,533,057,681,597,522,496,810,698,209,080,744,009,377,210,
861,124,774,601,307,030,137,172,859,369,598,280,838,267,214,103,430,486,660,
954,747,102,559,200,804,150,763,986,859,973,449,179,032,927,260,868,461,815,
078,758,641,253,908,621,094,317,288,090,511,169,552,491,942,710,132,503,212,
930,189,537,153,757,934,023,229,248,795,624,044,594,131,233,703,364,845,859,
054,760,704,216,388,595,196,132,006,048,531,255,926,871,772,648,775,337,600,
659,834,676,125,256,466,403,201,316,689,544,150,141,408,538,283,379,687,052,
703,146,173,095,555,857,049,711,853,319,625,234,671,281,221,066,890,299,549,
466,449,619,537,964,822,070,936,576,383,152,552,463,752,828,438,615,467,229,
359,110,493,623,632,678,700,898,010,830,371,102,906,142,870,480,299,224,695,
052,641,822,381,225,306,383,708,976,877,649,787,864,416,806,212,762,290,895,
014,819,389,397,910,206,851,132,287,200,301,350,026,434,371,545,065,474,311,
541,096,804,717,853,552,939,170,234,987,002,840,645,910,451,505,197,706,598,
180,919,732,563,953,780,963,328,138,758,041,784,884,906,581,732,042,977,623,
802,484,195,511,083,305,646,266,256,129,678,682,853,667,884,329,795,585,896,
611,619,411,777,267,648,416,941,806,941,701,453,160,117,657,628,741,744,398,
137,707,793,339,123,913,511,113,268,602,159,300,027,427,466,502,997,936,156,
287,868,354,286,565,582,742,975,879,940,738,209,425,409,900,721,886,458,778,
122,701,054,360,185,447,483,105,100,676,752,528,918,462,925,854,875,097,620,
298,088,636,370,563,840,356,086,605,605,015,198,422,874,638,436,453,270,998,
836,055,541,551,723,706,347,329,312,497,780,319,912,109,559,060,892,948,623,
235,096,000,040,365,387,220,041,947,618,430,808,903,609,686,440,307,002,587,
983,522,099,658,089,534,252,105,807,955,760,556,423,828,715,858,425,848,407,
964,727,011,598,965,815,297,445,289,707,765,795,359,819,361,355,955,824,069,
326,534,375,342,800,040,081,469,311,064,055,785,069,438,814,913,788,577,846,
195,235,791,643,360,482,010,408,533,894,482,492,341,631,425,287,002,654,513,
112,981,077,420,285,446,226,396,683,785,643,356,954,082,461,167,527,229,202,
110,744,319,411,889,887,436,798,970,316,393,985,811,169,008,921,293,288,175,
707,452,317,361,479,849,001,184,167,283,158,049,744,496,935,981,777,146,593,
961,904,584,914,566,222,138,781,124,519,649,299,034,181,322,867,650,890,236,
849,129,114,144,489,274,622,355,998,926,933,170,920,208,590,564,620,090,398,
444,675,775,126,023,131,926,205,380,570,228,151,475,739,513,045,195,034,770,
498,244,580,362,968,053,389,710,373,239,096,143,278,937,735,988,862,287,379,
635,550,678,482,187,799,386,438,085,546,406,402,222,101,147,680,230,589,614,
715,064,805,474,130,358,583,516,013,207,782,154,189,491,976,622,484,899,941,
766,914,253,138,646,443,247,358,686,476,941,496,166,325,678,619,555,415,830,
639,902,572,553,489,583,731,427,554,801,459,003,308,730,881,809,617,632,353,
851,713,210,231,242,194,350,260,559,319,430,360,318,010,214,406,247,213,450,
446,695,001,494,759,803,823,572,142,999,355,184,797,197,914,138,168,276,255,
171,087,682,174,225,770,512,387,401,588,262,723,190,802,754,765,333,181,070,
575,246,332,765,017,308,497,355,556,848,050,617,199,601,053,320,078,201,151,
337,325,872,653,041,909,829,323,048,232,998,617,561,438,205,014,679,931,711,
890,832,387,256,824,031,597,028,924,688,096,284,000,159,605,059,221,874,851,
460,144,140,812,519,401,379,027,335,748,725,766,999,739,464,045,319,903,380,
799,941,755,592,098,287,325,109,461,732,888,757,769,148,020,904,864,665,890,
572,213,514,669,096,829,935,851,207,789,231,993,271,431,380,524,844,115,037,
531,141,835,876,744,513,467,978,720,796,231,080,300,550,597,028,721,992,984,
610,162,535,970,404,061,741,376,731,758,328,530,278,656,881,631,219,627,616,
157,669,052,053,889,744,422,035,149,094,182,744,712,095,551,334,500,536,834,
746,286,573,782,808,184,611,627,857,495,791,775,006,364,599,529,335,331,095,
459,995,019,147,174,520,208,723,228,058,548,913,361,978,643,287,049,443,574,
173,516,797,577,536,616,100,829,978,454,057,123,198,112,700,012,745,852,842,
975,952,174,987,416,253,189,972,777,082,954,972,290,005,591,573,727,604,686,
521,243,541,185,743,248,864,756,719,291,492,319,963,806,199,472,315,710,071,
519,339,791,776,409,560,555,669,577,442,615,533,157,932,379,200,322,948,279,
073,750,038,601,094,610,677,640,491,726,300,906,129,742,919,253,117,819,396,
272,106,300,466,535,900,312,963,017,328,070,753,258,207,525,717,908,090,012,
761,873,873,270,118,889,975,688,790,552,238,481,963,558,499,279,468,970,653,
633,922,602,893,335,791,578,232,532,439,750,399,121,074,507,669,567,710,898,
821,257,190,033,432,588,723,332,063,199,133,592,962,941,688,807,356,604,065,
559,310,637,673,391,125,853,909,966,998,785,944,863,502,274,309,501,334,026,
844,189,736,184,788,155,002,385,361,393,807,325,516,940,490,007,860,045,257,
286,507,281,536,340,987,760,950,898,952,077,477,390,707,575,738,071,613,630,
311,826,696,902,314,312,594,029,931,531,790,128,395,280,296,370,537,118,685,
903,365,193,807,949,934,486,417,007,426,891,312,796,804,320,619,782,570,585,
466,183,341,887,155,706,693,007,105,563,246,669,567,761,178,851,214,227,183,
201,000,555,001,416,600,766,689,603,086,582,896,293,472,133,571,277,801,017,
041,352,691,844,230,426,807,042,033,252,528,017,871,813,529,093,615,880,179,
696,120,060,239,714,227,568,084,520,083,898,230,950,606,805,606,279,071,425,
690,478,663,908,446,726,194,578,220,163,720,315,731,932,263,110,076,431,973,
904,663,295,604,020,785,027,665,042,438,596,422,598,949,034,214,094,049,616,
370,810,714,666,253,511,279,692,154,182,911,674,259,223,705,616,371,033,684,
271,169,135,432,937,380,737,950,698,468,151,282,468,706,348,505,794,973,928,
515,556,306,852,843,184,174,827,249,388,561,847,645,557,055,840,002,716,004,
221,890,694,883,145,842,947,968,810,928,852,169,713,396,932,537,593,808,830,
758,634,962,329,646,884,039,007,612,767,416,952,946,543,871,413,266,203,666,
108,485,428,275,467,777,258,696,887,067,866,447,406,904,447,558,493,428,187,
838,568,441,768,068,028,552,094,225,757,313,999,182,541,796,249,715,166,772,
655,932,194,900,525,992,071,589,508,726,177,183,968,241,029,775,123,633,355,
506,560,880,521,861,730,245,206,532,450,592,104,118,364,351,656,996,129,447,
778,875,787,153,421,467,839,227,923,158,783,036,736,739,136,960,846,920,553,
488,880,688,002,245,203,308,203,003,958,377,195,754,294,972,894,659,776,373,
111,725,677,223,876,398,601,293,342,928,126,099,146,345,432,899,592,039,419,
523,421,036,958,181,049,285,453,545,703,825,670,192,422,397,205,365,788,222,
236,628,538,719,928,467,452,055,119,640,035,208,561,133,984,678,439,442,229,
541,338,207,523,454,966,164,482,551,438,251,409,792,002,210,212,114,252,084,
297,322,080,355,778,025,218,614,908,883,313,727,484,718,507,344,294,921,505,
369,867,930,905,369,188,580,264,382,337,310,049,442,084,441,029,656,425,293,
742,775,578,321,676,519,212,134,690,459,292,277,896,852,585,815,789,960,342,
000,044,206,516,707,150,516,865,278,182,984,930,700,527,303,818,413,654,277,
273,573,050,875,777,987,786,843,733,421,062,381,085,326,152,508,015,776,953,
239,017,642,979,367,693,038,287,247,011,233,252,911,959,398,192,379,637,848,
174,436,541,770,101,462,700,478,740,723,922,369,058,093,619,731,023,154,396,
504,646,350,643,710,723,024,087,697,760,923,185,130,430,534,562,414,135,398,
785,504,448,871,771,775,512,010,251,453,567,077,481,967,314,210,591,315,824,
342,872,429,947,095,343,703,190,764,732,443,578,327,994,163,553,136,884,047,
796,054,106,450,056,301,952,095,970,563,876,115,866,843,238,833,945,629,848,
366,259,643,485,955,205,844,367,786,326,824,716,408,820,924,788,364,165,677,
821,481,665,518,832,369,952,616,954,314,025,683,764,937,055,834,942,422,135,
671,427,815,368,917,976,040,408,033,342,193,784,085,935,218,506,374,081,525,
144,783,856,928,575,830,984,108,290,301,618,752,030,377,620,300,761,054,701,
804,927,521,050,870,640,827,408,686,466,768,970,962,262,597,909,015,040,879,
952,724,910,953,153,632,066,967,946,685,108,233,238,953,298,889,237,147,971,
090,225,444,499,652,251,057,977,292,267,497,942,344,547,660,447,681,250,738,
941,907,808,659,654,732,306,312,488,392,118,348,938,436,740,326,402,532,901,
556,471,193,699,283,445,809,422,757,164,759,869,117,138,725,733,901,737,294,
345,652,967,089,140,958,410,289,456,201,581,307,312,482,643,641,122,405,842,
664,614,663,580,817,847,930,852,126,795,098,840,948,372,470,169,636,587,022,
574,711,595,589,396,457,720,593,252,020,283,516,175,460,924,369,279,885,910,
670,814,191,149,693,475,387,825,991,514,047,137,977,978,813,578,172,033,966,
581,569,480,198,562,708,596,439,513,291,094,876,590,322,211,798,332,465,712,
692,511,572,512,832,111,082,640,408,464,192,205,301,432,642,029,650,625,784,
166,369,023,983,809,160,565,654,994,051,244,536,822,038,869,980,230,820,042,
304,300,271,126,754,826,952,528,724,701,062,055,797,765,648,710,976,950,819,
496,259,809,567,035,973,840,955,056,120,309,533,065,616,193,426,669,256,202,
226,163,219,962,706,397,695,900,145,898,266,734,254,236,059,931,052,200,487,
033,640,567,591,987,609,475,282,247,709,031,481,999,369,070,049,446,672,507,
850,188,563,271,850,716,383,725,538,880,502,244,849,137,586,929,782,992,045,
464,269,428,696,379,834,444,160,184,984,810,927,052,289,982,636,772,605,316,
269,947,250,774,302,921,197,193,688,557,908,170,166,331,293,854,445,256,565,
525,385,175,741,888,730,191,973,244,964,474,807,324,583,308,886,862,347,526,
039,071,486,951,763,143,628,546,855,959,182,152,905,430,666,932,721,031,539,
599,121,935,134,578,560,298,259,808,615,277,785,562,634,239,822,462,014,153,
630,225,082,212,456,864,218,227,771,084,331,630,502,066,005,006,908,532,590,
797,621,988,399,883,801,336,235,628,179,366,489,609,238,047,484,819,781,523,
548,594,933,615,115,840,944,827,782,510,720,213,465,665,023,812,843,927,549,
069,210,906,799,499,017,796,621,101,715,331,077,350,365,676,188,471,176,980,
282,696,409,026,603,189,532,419,826,617,860,231,158,349,896,856,692,629,724,
769,829,956,144,958,264,767,294,679,570,990,052,177,822,811,388,246,192,512,
568,835,398,227,114,106,311,205,981,784,016,341,677,144,611,832,258,866,006,
213,418,183,682,110,146,725,931,312,620,948,539,235,811,490,787,834,561,707,
027,033,131,682,850,872,328,315,838,473,761,717,109,804,271,824,349,376,245,
703,521,367,437,267,177,675,108,357,221,523,323,075,845,807,720,615,172,951,
400,692,484,528,704,299,877,331,677,027,610,423,212,623,281,779,720,439,951,
728,394,456,465,923,461,122,549,438,449,526,881,782,119,316,376,726,397,764,
049,130,540,865,395,926,508,670,447,606,567,179,992,620,230,536,821,945,606,
973,599,888,388,501,566,120,864,650,693,199,740,667,699,494,934,606,389,309,
734,079,656,717,770,178,365,465,254,907,239,172,344,658,970,151,380,562,022,
775,206,204,315,424,512,915,746,605,295,947,365,957,286,142,554,110,489,025,
494,464,657,903,723,928,009,513,336,713,026,925,128,056,961,618,869,625,923,
162,523,659,227,483,438,659,859,247,086,290,147,060,686,512,348,393,784,593,
112,104,280,032,932,569,567,683,795,924,780,271,167,306,683,145,563,581,325,
858,787,434,926,870,059,155,871,160,666,338,198,151,026,446,852,541,844,787,
045,258,992,406,326,631,315,513,951,687,527,063,306,641,358,872,290,520,292,
999,206,587,046,448,931,412,178,846,297,497,083,776,426,254,631,656,673,705,
387,785,240,481,591,322,440,763,774,780,479,308,830,712,305,230,317,860,927,
663,698,163,376,557,297,151,738,447,327,146,059,077,136,777,466,668,514,672,
003,340,991,588,809,551,493,594,133,942,228,556,991,987,005,021,257,401,753,
160,466,079,235,266,628,132,255,479,231,163,204,838,307,702,835,728,412,461,
442,575,729,955,413,524,020,405,176,434,282,356,195,392,226,443,344,183,297,
397,977,889,308,957,806,717,685,724,357,849,796,110,056,323,914,273,119,588,
552,731,677,367,258,699,705,364,812,210,599,597,720,695,307,990,095,919,997,
781,125,287,826,044,115,856,325,464,823,079,884,320,291,058,411,183,115,303,
034,454,349,031,004,327,338,557,287,255,090,852,502,275,118,920,583,531,261,
068,970,585,667,838,237,972,239,870,893,239,524,475,585,786,573,049,632,865,
332,412,481,041,638,743,484,870,586,793,464,631,658,263,716,972,778,005,289,
315,327,566,818,573,298,116,157,877,933,772,933,523,897,451,096,486,724,899,
845,898,827,416,541,042,832,840,105,475,040,105,428,059,476,922,578,239,074,
999,405,679,121,491,474,417,596,728,379,291,377,885,827,522,926,667,536,453,
324,439,089,400,853,160,088,004,547,329,645,664,248,702,760,424,374,721,960,
560,632,005,381,165,375,355,580,645,294,813,734,497,921,825,888,926,250,512,
784,847,578,552,255,021,997,841,435,154,560,527,768,049,292,250,539,247,895,
007,785,984,213,018,787,318,428,044,700,753,254,376,584,664,358,859,417,480,
423,928,421,351,901,477,202,092,658,107,864,329,861,177,075,222,043,996,297,
331,183,607,663,134,575,926,565,351,046,619,626,049,154,005,799,318,769,956,
040,492,829,972,179,056,243,423,429,023,527,953,187,027,204,555,423,241,021,
971,273,161,234,019,448,278,985,318,726,956,056,343,255,903,229,384,656,973,
236,607,361,390,666,577,448,757,534,303,757,659,049,823,129,979,433,303,589,
696,661,498,773,166,770,889,029,833,584,459,407,131,951,650,479,148,262,294,
573,189,517,495,613,168,048,097,424,992,641,940,553,437,609,297,722,809,552,
973,072,547,410,749,851,713,776,607,537,040,222,612,155,658,769,748,634,388,
775,871,864,522,661,030,931,937,534,817,932,000,593,121,474,968,316,007,279,
740,088,317,819,486,914,403,751,702,442,690,787,122,603,458,605,789,378,055,
908,905,432,601,495,356,053,228,437,966,579,134,444,812,920,933,009,727,056,
417,588,197,214,374,943,423,328,064,423,270,188,125,993,845,999,078,531,463,
788,277,829,468,108,897,246,244,749,143,174,121,037,579,461,252,931,146,519,
502,903,446,047,734,557,723,801,135,022,051,400,006,737,773,277,225,384,573,
115,223,797,681,445,530,180,052,432,596,340,618,939,975,572,720,999,453,124,
392,787,713,316,144,147,020,565,238,918,438,115,140,531,730,283,861,137,574,
563,424,650,566,798,475,723,484,311,227,010,757,219,694,308,661,603,779,541,
952,784,214,782,514,791,574,605,612,071,120,507,947,878,579,709,547,957,660,
189,194,385,343,799,994,564,976,852,141,343,763,391,517,652,099,185,112,850,
132,439,002,118,712,814,384,821,968,911,631,611,940,169,653,820,888,702,419,
676,517,658,807,356,038,363,351,618,492,756,216,815,718,501,948,278,785,633,
193,266,988,861,992,135,066,269,905,200,307,991,517,769,180,678,538,811,859,
398,335,165,283,784,645,450,643,082,693,821,393,094,837,396,529,306,700,526,
474,170,077,118,305,880,693,727,654,561,131,559,225,705,720,360,715,257,659,
389,059,160,718,856,002,704,202,837,144,052,392,429,608,005,432,392,969,465,
304,040,012,426,154,416,990,648,674,467,681,215,092,635,506,958,659,020,814,
081,937,643,421,082,481,568,972,594,460,523,769,077,829,821,291,778,659,891,
361,299,858,336,194,247,991,881,145,983,797,858,931,298,553,493,407,164,207,
110,571,222,401,442,724,739,327,239,230,272,932,167,427,099,691,328,058,341,
071,443,942,060,320,031,884,361,914,590,151,114,222,787,716,823,537,547,273,
719,302,383,219,641,820,106,962,646,529,984,668,005,493,702,082,794,921,964,
586,468,699,992,936,334,087,143,211,847,204,164,203,329,298,520,905,041,854,
586,529,857,856,812,988,634,358,481,910,758,344,966,925,250,417,762,851,273,
082,468,517,802,194,289,184,287,217,301,687,500,543,633,706,848,465,224,674,
354,447,391,539,574,086,919,360,881,920,609,463,784,953,594,316,991,817,925,
383,060,932,718,171,633,978,706,128,875,281,760,459,690,096,772,868,091,073,
076,747,114,298,584,984,712,325,814,920,562,611,178,895,384,056,041,103,656,
895,082,726,442,334,329,498,460,415,415,064,353,656,459,967,359,355,196,067,
057,702,980,222,410,137,308,717,991,765,577,254,303,128,665,054,116,892,832,
554,574,627,434,726,033,983,670,198,721,509,984,317,708,884,462,174,620,361,
239,273,418,584,747,269,687,302,142,001,099,597,651,558,474,558,970,050,699,
797,400,968,370,285,971,270,249,068,156,668,956,645,802,643,447,268,344,493,
288,860,736,714,458,532,548,116,948,711,149,329,868,747,735,507,449,240,291,
188,606,627,202,641,186,624,353,283,222,666,055,445,985,785,392,181,561,894,
345,688,352,453,543,140,489,754,714,967,892,800,095,047,569,040,310,434,083,
307,957,036,111,459,901,665,859,430,208,046,137,048,083,781,322,603,441,289,
465,481,563,862,810,097,082,707,399,642,847,854,009,098,621,184,132,523,091,
967,300,064,518,072,828,011,754,171,108,291,164,686,832,491,846,604,035,571,
319,280,369,088,223,677,366,538,399,524,781,845,553,858,332,652,534,351,892,
394,175,811,160,236,856,210,809,344,822,377,811,911,422,299,047,602,977,474,
066,936,074,096,612,366,903,674,289,245,447,496,930,472,697,469,566,428,613,
533,323,813,301,624,216,624,915,430,063,380,546,321,631,365,330,344,048,253,
721,416,778,612,226,970,650,970,195,638,403,447,867,004,985,313,481,210,178,
833,057,643,724,486,361,936,223,523,266,865,439,385,602,284,895,811,385,330,
305,158,821,638,345,465,637,093,232,580,626,868,536,475,855,003,720,217,012,
293,896,077,250,321,642,479,714,350,114,818,335,313,362,364,160,524,701,234,
235,945,146,692,344,045,998,105,594,258,218,014,286,350,523,316,331,137,243,
303,501,076,767,643,441,826,881,407,685,499,114,507,803,614,131,616,965,611,
931,829,701,239,601,567,381,330,013,479,180,460,252,703,151,344,947,330,066,
938,830,896,888,176,933,715,996,043,800,141,653,012,065,796,901,521,428,950,
991,341,902,949,147,389,669,549,941,156,522,548,505,036,616,957,929,953,529,
154,297,304,691,569,435,730,386,076,441,248,091,297,736,731,789,930,715,878,
188,835,234,803,426,596,332,825,701,012,056,025,956,673,308,230,196,598,922,
759,380,981,634,136,727,188,739,062,031,652,685,895,578,014,808,209,555,266,
211,608,290,306,978,215,490,182,029,157,802,594,492,859,963,167,709,557,778,
220,171,212,430,881,029,268,881,980,013,260,638,802,664,466,439,351,349,672,
836,955,647,241,744,622,223,021,442,253,408,819,217,486,698,896,337,331,203,
909,829,483,447,829,085,967,562,163,731,973,883,185,308,593,298,465,336,676,
721,972,203,903,030,759,895,228,132,405,376,252,707,390,031,953,519,267,607,
283,242,317,679,959,393,390,174,500,154,561,484,058,891,156,631,351,273,552,
834,509,608,313,910,862,916,262,480,617,915,906,760,704,308,776,359,231,034,
186,500,481,582,008,328,917,444,447,568,466,285,771,101,960,670,244,766,405,
286,916,528,612,498,077,084,006,225,851,213,143,026,699,947,157,838,468,148,
863,101,714,405,905,491,390,459,898,370,025,615,744,796,953,675,287,661,472,
380,481,223,277,229,947,057,644,162,318,788,192,776,867,834,534,908,943,970,
010,726,684,551,021,629,261,385,739,211,856,234,125,628,256,289,994,854,986,
110,501,886,205,058,528,409,954,353,569,307,972,773,613,846,673,277,865,415,
720,419,139,468,993,364,596,227,309,320,279,253,314,935,735,390,810,868,939,
974,048,406,321,163,486,224,477,471,466,841,983,557,675,393,375,785,568,224,
592,472,665,448,986,440,652,098,208,341,415,124,492,300,364,989,153,934,606,
017,841,735,555,232,547,701,511,839,649,458,235,499,979,785,435,513,231,848,
117,314,142,858,573,284,665,606,538,592,783,183,345,996,965,964,391,425,414,
961,729,314,649,246,364,059,684,397,580,005,930,043,522,450,128,488,697,305,
522,453,018,471,524,744,430,344,425,253,275,324,494,427,729,821,248,546,633,
623,647,321,792,587,100,106,818,820,864,466,530,523,546,301,278,801,800,046,
619,436,907,607,794,461,022,495,525,600,521,251,674,465,984,952,914,512,103,
507,986,446,597,941,158,792,223,567,178,984,847,378,260,255,862,193,200,722,
950,324,976,780,211,027,461,536,031,843,792,282,780,422,960,434,193,439,798,
209,629,442,796,302,119,568,393,324,261,568,946,915,462,383,639,295,473,430,
148,554,607,819,181,585,316,520,980,644,834,669,396,621,338,945,339,632,980,
215,962,761,166,724,754,687,572,446,359,343,430,063,299,576,416,634,656,578,
168,454,013,008,233,761,744,081,824,591,646,543,980,881,116,983,711,064,988,
683,739,847,752,419,150,559,632,534,254,424,771,345,935,202,049,933,049,939,
499,689,397,089,584,821,707,886,545,932,806,771,237,202,786,947,061,206,087,
400,484,422,889,594,786,344,101,047,761,044,513,923,084,284,684,191,739,850,
577,056,398,660,448,751,212,787,655,023,280,827,896,769,372,331,044,582,113,
076,000,543,360,602,897,423,044,939,380,575,237,046,188,667,909,100,262,237,
416,850,351,324,236,571,868,548,498,824,844,163,345,037,270,100,730,351,843,
125,744,422,991,733,741,488,506,862,398,280,983,676,461,753,900,611,368,716,
301,601,200,245,440,218,498,981,389,049,552,786,724,911,835,790,490,575,392,
526,861,838,308,851,558,339,902,321,616,396,092,099,320,228,423,491,027,000,
877,066,918,227,390,238,351,203,965,385,380,479,167,514,468,727,884,519,269,
629,223,413,645,387,409,437,523,571,267,735,703,334,061,385,817,193,459,526,
559,447,649,281,259,252,499,903,578,877,167,010,884,187,346,625,865,836,967,
090,778,232,238,722,021,754,430,188,441,182,257,727,405,078,611,519,026,970,
979,735,033,839,047,377,477,117,983,924,706,721,297,176,745,674,014,372,857,
017,297,016,930,217,940,617,695,265,680,514,020,058,083,123,192,637,921,986,
199,807,006,926,883,420,632,298,106,672,735,773,398,066,330,340,062,981,293,
118,444,260,784,578,078,966,679,505,558,286,066,625,195,003,790,403,810,765,
027,024,681,208,462,727,536,542,225,763,224,830,668,821,160,395,651,513,036,
374,104,713,396,724,624,373,713,768,364,647,017,777,129,439,995,527,962,967,
800,838,160,827,537,333,357,939,671,484,773,999,431,264,601,693,851,302,162,
072,316,121,268,787,157,565,803,803,272,306,798,969,375,303,651,443,862,030,
411,566,803,031,796,646,318,790,630,633,851,123,043,282,390,440,986,257,693,
278,497,434,910,380,287,740,029,375,151,868,694,807,391,211,857,825,474,441,
396,494,571,244,710,311,277,266,676,464,040,062,474,830,286,362,124,275,935,
200,688,593,586,345,053,444,634,812,583,348,459,746,641,680,675,349,798,716,
583,522,961,979,368,845,872,358,279,451,208,162,516,783,217,957,326,697,003,
735,028,913,985,464,603,706,285,681,388,601,360,145,449,987,601,357,644,786,
942,781,363,250,265,503,554,627,543,572,077,731,286,943,008,024,744,331,656,
090,169,126,130,791,205,176,156,632,773,020,168,036,185,633,094,730,776,180,
105,417,855,352,866,327,190,662,314,657,832,418,405,318,284,496,980,199,053,
486,257,020,090,115,029,234,639,411,087,600,394,021,164,094,058,294,250,429,
129,107,978,237,910,272,819,976,937,024,070,893,569,187,602,740,747,580,531,
667,825,333,867,927,035,122,761,322,301,045,624,225,497,088,936,961,881,531,
121,090,687,181,865,730,459,486,473,159,841,442,670,443,557,019,507,089,141,
519,283,490,294,887,519,157,540,278,269,877,953,806,409,362,183,915,110,345,
684,146,420,781,412,637,344,959,118,864,138,902,322,285,038,614,551,512,553,
034,361,425,494,274,038,106,429,969,651,197,860,366,237,548,276,619,302,364,
024,295,935,077,751,816,477,434,487,235,431,153,594,332,070,388,758,191,322,
405,014,050,153,696,832,663,170,608,924,961,018,850,436,747,801,442,592,834,
088,531,533,075,994,290,413,425,276,561,655,854,832,920,913,438,456,233,092,
156,528,748,024,233,846,250,784,632,294,865,177,091,895,037,980,731,284,640,
653,568,806,295,918,737,156,827,987,750,613,984,201,162,860,633,168,235,860,
066,458,348,108,937,108,843,278,699,990,409,225,858,063,948,510,035,561,729,
666,038,939,382,646,281,797,241,971,261,457,173,284,529,793,815,768,261,610,
827,674,568,055,335,022,252,067,418,479,164,739,236,522,505,660,555,290,552,
754,780,121,984,358,703,323,789,560,265,430,307,472,476,925,660,367,519,243,
481,694,397,291,161,582,988,088,003,501,596,853,437,533,848,259,307,192,190,
233,168,244,078,187,718,622,156,492,578,704,483,336,525,074,786,196,023,323,
577,163,906,633,338,749,181,860,891,590,701,658,714,079,210,305,678,995,710,
742,016,297,924,250,848,603,736,387,445,806,410,852,688,417,237,305,030,283,
658,597,245,402,968,816,732,541,809,189,743,658,001,067,489,430,651,291,072,
308,755,159,466,291,455,477,664,564,598,014,699,114,226,257,004,585,056,114,
715,813,619,638,723,051,375,467,114,211,973,346,428,269,012,150,627,570,421,
998,841,028,336,337,687,398,752,188,106,036,455,314,418,427,679,800,379,195,
775,701,309,602,519,842,128,741,497,655,949,923,161,547,172,625,583,075,354,
726,222,184,319,064,234,537,442,875,890,755,671,328,738,249,116,081,942,023,
953,931,612,337,842,510,696,576,095,692,124,317,410,699,366,872,785,582,311,
082,187,653,004,217,294,922,273,518,122,224,920,193,452,885,635,804,122,900,
702,669,744,693,194,815,620,441,016,106,012,865,220,616,162,879,197,669,859,
127,967,317,108,329,671,587,114,799,327,611,285,722,802,289,511,960,813,504,
034,939,301,149,852,485,225,456,332,047,447,599,858,029,001,459,371,962,548,
237,106,669,235,296,593,583,208,791,482,573,096,085,752,487,274,295,520,572,
006,157,326,322,176,114,035,543,614,575,789,392,721,709,267,308,628,851,643,
205,816,471,037,443,415,151,508,747,477,622,355,793,006,665,624,989,528,987,
635,237,868,262,620,016,522,789,810,151,166,627,396,879,855,438,695,133,677,
820,617,535,226,385,812,022,039,474,889,189,017,591,549,591,935,112,949,177,
697,630,802,618,668,581,841,742,092,875,413,309,117,166,295,451,283,992,867,
188,919,713,353,345,196,883,456,651,153,715,434,385,890,992,574,358,110,138,
516,522,717,099,238,824,795,788,324,718,951,032,828,055,983,633,224,340,678,
995,243,184,419,711,301,006,115,003,881,921,828,616,366,676,670,226,331,520,
304,344,454,112,866,974,293,501,881,994,166,150,802,185,560,159,118,677,212,
028,829,270,910,957,862,279,231,511,766,027,322,970,257,334,165,731,497,782,
445,547,788,660,439,265,613,788,016,180,342,798,117,753,038,860,226,900,339,
245,057,322,814,310,677,651,273,710,438,772,770,215,375,272,305,329,269,295,
215,080,733,278,935,805,887,933,667,722,643,912,508,099,694,245,066,091,147,
047,086,654,767,308,937,252,494,378,343,561,727,235,157,892,298,481,138,445,
719,549,477,460,028,631,533,419,580,872,154,025,139,556,783,835,123,293,853,
383,209,869,217,524,064,944,648,990,575,286,376,161,693,862,357,047,646,786,
599,061,846,793,390,882,313,504,111,528,998,803,284,801,884,039,292,495,965,
545,094,261,436,580,313,276,791,083,494,497,323,882,587,021,321,595,522,331,
282,542,316,813,340,410,559,526,767,273,350,066,756,921,870,168,133,066,951,
924,699,673,653,180,478,739,115,994,225,274,375,777,919,333,207,641,901,204,
598,900,088,924,661,287,127,683,517,647,857,163,867,490,201,990,895,712,700,
926,355,079,139,000,618,418,921,689,889,153,369,737,495,451,594,790,619,052,
413,813,349,506,571,771,933,316,244,657,099,870,157,568,969,509,274,333,553,
005,411,252,835,705,643,636,782,300,108,704,518,512,637,335,641,726,572,803,
598,506,010,738,737,292,400,211,174,121,732,008,027,616,556,226,643,842,094,
473,356,207,660,251,829,116,132,583,913,460,481,222,957,045,420,072,890,822,
602,993,357,408,431,607,993,927,241,457,345,533,580,363,311,701,739,015,169,
779,390,381,085,492,947,635,319,106,772,517,956,461,992,902,038,478,498,183,
705,395,763,767,231,865,776,637,118,036,509,014,079,181,302,460,450,159,501,
711,433,929,478,048,166,269,985,056,363,214,896,956,171,276,731,284,248,742,
984,867,125,996,912,868,935,317,864,333,589,306,076,055,038,299,890,758,574,
539,238,836,778,479,420,073,493,257,192,973,194,924,894,752,855,513,149,691,
556,109,296,481,164,519,960,116,338,406,646,698,434,998,165,759,364,181,590,
222,685,233,387,428,348,472,005,070,578,781,572,590,339,359,105,604,744,785,
702,863,069,618,467,649,929,599,436,180,040,049,371,043,854,851,561,426,261,
005,569,987,258,764,404,652,052,947,320,600,230,767,786,084,588,758,409,641,
454,803,347,442,147,984,258,472,571,192,301,015,785,653,016,064,401,621,505,
339,576,051,657,822,689,340,766,637,679,004,257,683,757,985,570,136,112,527,
718,231,172,639,735,147,661,652,739,730,596,514,772,298,652,009,181,636,525,
485,338,533,316,799,314,664,453,452,171,576,945,775,813,112,191,122,328,528,
439,513,864,312,181,544,291,146,827,625,560,782,316,467,107,550,691,325,874,
178,362,357,479,746,499,608,818,956,829,601,599,821,868,397,990,800,733,031,
504,358,892,404,480,043,103,850,053,870,878,119,363,093,863,142,446,466,564,
786,212,650,059,998,436,364,971,591,572,753,374,621,856,207,146,925,764,379,
105,050,694,367,114,403,254,300,606,369,018,190,986,470,430,012,729,578,282,
282,900,619,268,244,797,130,490,719,589,629,815,886,995,823,366,875,569,325,
483,998,818,773,330,343,639,970,577,227,581,168,836,282,435,896,582,508,490,
235,223,451,765,954,401,310,516,136,721,078,341,884,527,896,073,508,927,960,
619,996,943,999,531,803,575,206,389,788,487,899,739,013,555,653,163,691,891,
698,239,140,713,114,175,836,398,245,271,884,166,101,028,181,376,669,308,303,
898,688,904,125,423,997,911,129,917,536,481,069,192,915,644,998,710,962,601,
935,800,953,118,758,129,551,082,124,649,205,885,079,243,321,442,395,739,671,
906,047,556,759,527,290,749,576,931,757,089,559,392,514,692,135,453,390,303,
436,750,281,736,465,042,122,654,409,731,101,620,156,789,615,325,133,585,171,
089,618,342,074,461,227,460,757,959,070,581,567,721,305,058,101,882,970,342,
203,893,051,571,788,627,514,773,730,645,235,025,891,640,065,138,177,844,089,
872,121,889,383,260,124,430,043,557,708,753,694,515,791,197,252,513,949,676,
314,884,779,743,377,114,834,283,552,819,914,356,937,934,864,106,925,628,334,
384,308,676,815,505,501,440,405,932,530,649,410,117,817,179,161,512,571,431,
457,659,678,620,398,738,713,129,468,222,998,425,018,697,175,971,918,682,622,
616,924,240,737,174,261,651,492,996,915,364,485,809,148,559,814,524,686,102,
481,668,598,242,001,214,547,503,878,285,020,219,543,182,495,835,430,486,017,
241,634,922,271,400,295,111,770,599,087,200,914,483,891,089,058,313,467,102,
591,405,924,444,667,766,897,849,264,672,563,066,218,408,903,003,648,476,546,
399,251,491,434,667,327,219,288,654,529,355,160,914,444,548,420,670,276,818,
070,072,446,573,722,534,134,200,668,342,410,982,829,665,825,599,145,319,741,
511,714,330,967,797,958,791,548,020,892,777,775,838,087,313,967,875,904,248,
631,218,703,835,117,522,811,914,195,686,162,067,194,601,029,886,295,786,206,
655,599,593,486,714,790,539,761,193,416,081,161,450,466,056,116,178,604,078,
655,239,608,491,942,968,460,339,981,771,065,431,497,732,531,652,143,335,388,
060,155,154,767,417,542,780,997,964,324,871,030,588,679,556,045,107,725,215,
299,510,375,454,550,077,870,062,880,637,786,149,421,099,838,762,456,084,985,
013,081,337,843,117,158,297,731,547,665,034,662,170,983,407,785,018,993,302,
414,922,496,084,234,208,404,958,340,326,328,873,395,945,747,614,892,691,256,
913,265,376,615,253,817,796,283,391,731,628,139,818,381,121,158,233,186,522,
907,654,861,718,757,337,304,648,810,428,222,684,251,387,604,479,253,886,646,
237,594,256,392,045,800,085,516,362,261,685,659,756,754,898,715,651,979,067,
561,958,961,071,739,887,641,960,274,706,335,538,619,044,730,921,903,314,097,
209,376,920,564,410,775,713,189,178,082,125,883,972,200,419,631,431,612,998,
596,788,367,713,531,606,321,548,028,047,127,409,980,672,240,003,686,511,035,
861,862,706,713,000,052,331,281,312,282,800,417,078,674,713,253,608,143,136,
816,992,284,014,321,159,802,108,297,028,312,359,194,493,483,923,925,705,293,
641,047,954,676,648,842,740,733,542,366,560,685,871,680,145,050,212,448,350,
391,556,489,183,142,536,457,835,096,548,279,249,784,757,227,938,825,545,619,
467,303,669,910,369,547,084,624,679,471,567,389,169,941,468,483,236,885,514,
539,668,762,722,604,086,216,068,024,673,030,502,981,890,952,259,724,489,816,
668,971,099,139,673,004,337,240,641,036,211,285,427,057,374,105,350,009,548,
751,559,897,120,363,515,465,710,167,174,944,074,180,248,617,151,606,583,147,
437,237,897,490,839,428,574,551,016,359,468,257,225,282,649,964,372,961,183,
964,063,904,392,204,636,796,972,150,255,656,149,363,089,734,547,356,083,107,
049,132,296,321,150,538,978,920,240,960,090,089,721,460,478,680,020,949,423,
023,582,284,770,999,625,407,783,861,380,112,489,715,276,643,527,373,112,789,
224,516,855,710,298,527,284,484,624,980,383,561,159,865,135,001,660,283,178,
669,746,261,701,780,785,616,778,740,222,413,835,436,518,735,078,646,882,918,
681,008,621,967,170,958,751,242,093,308,208,914,863,064,079,999,628,118,279,
693,946,403,017,957,985,867,706,097,491,780,235,924,359,513,307,179,448,944,
539,600,128,779,118,793,498,893,159,224,205,819,239,272,794,190,921,962,030,
072,709,645,399,814,393,807,041,912,230,229,255,346,241,150,082,891,398,506,
839,530,306,972,697,057,634,936,355,645,920,731,408,336,749,127,508,068,331,
305,286,217,670,057,135,127,605,111,913,692,748,819,646,630,396,134,321,061,
983,268,771,702,227,661,094,436,940,947,510,369,602,743,175,941,893,699,638,
745,690,961,290,402,823,458,793,271,816,049,752,084,002,783,722,703,673,665,
413,231,667,570,397,736,620,119,719,286,731,510,425,761,284,685,898,454,767,
740,485,412,352,371,940,758,983,483,864,878,849,093,961,390,750,178,115,865,
327,506,505,633,998,672,918,797,598,269,522,318,710,034,296,509,004,487,470,
260,929,086,326,124,751,376,855,125,012,121,428,543,277,622,911,923,958,796,
504,560,305,220,730,261,661,774,715,712,397,283,370,456,091,206,999,499,688,
193,816,799,264,147,449,340,177,970,628,803,189,707,081,303,960,499,319,879,
574,774,235,439,926,431,651,642,077,134,897,730,018,248,064,945,775,743,482,
868,890,568,220,770,499,028,448,460,494,106,678,565,997,910,158,626,732,510,
722,231,100,064,733,335,067,496,410,619,669,395,096,407,391,562,589,447,016,
199,047,384,878,205,888,341,637,239,125,019,241,682,384,565,285,266,529,384,
785,329,054,616,697,396,992,065,739,887,923,899,643,757,245,640,476,948,439,
936,853,581,849,081,603,441,257,979,727,319,767,548,077,845,161,803,856,873,
344,115,132,304,667,780,973,043,339,890,931,035,678,330,803,487,798,473,603,
713,923,469,364,235,530,297,968,551,818,646,603,375,236,714,547,524,659,627,
935,115,827,099,830,725,773,272,299,005,874,563,486,296,721,543,560,964,250,
848,049,595,332,407,255,285,621,255,735,160,846,414,095,080,064,273,925,757,
193,462,409,691,189,434,903,593,964,696,379,376,918,911,419,919,475,298,517,
555,763,370,704,716,114,365,683,386,657,450,866,706,404,180,837,611,902,490,
101,247,446,619,984,504,266,119,793,176,494,218,187,735,548,377,852,935,428,
637,607,470,225,520,437,654,177,947,630,601,810,942,026,532,806,741,367,483,
165,753,276,388,824,249,357,938,554,959,493,665,571,973,420,874,197,950,844,
118,258,325,361,932,700,223,927,374,554,027,605,651,947,932,215,902,462,813,
777,164,046,215,989,520,980,874,059,248,310,179,205,408,519,199,666,440,368,
966,231,557,292,983,558,899,408,453,863,366,353,139,300,386,639,627,531,437,
351,197,572,080,475,678,867,243,530,628,875,869,724,995,852,631,494,768,150,
168,572,709,145,931,639,095,719,499,975,183,273,663,707,060,545,124,659,515,
585,149,596,177,681,596,821,246,376,667,875,770,167,321,964,549,308,494,577,
960,966,160,792,786,189,244,819,828,417,114,560,124,718,239,810,291,292,317,
722,357,318,722,232,536,913,862,131,402,085,429,579,182,744,430,843,359,994,
956,458,237,905,135,582,701,277,687,861,854,860,845,426,021,545,141,171,866,
809,605,108,359,641,480,321,735,233,578,955,450,314,725,183,302,892,722,980,
547,239,882,199,198,439,446,085,320,755,813,090,669,415,021,120,903,715,340,
707,437,655,430,594,214,403,274,881,077,588,334,844,375,156,126,330,894,790,
313,265,525,343,725,283,980,267,495,883,990,721,909,223,177,887,568,284,749,
446,144,330,969,373,323,751,116,133,718,874,643,039,498,866,204,968,206,360,
949,933,429,953,933,560,316,063,053,866,470,437,400,604,211,142,288,132,445,
862,773,436,034,375,746,591,138,548,201,899,899,652,558,368,982,058,246,222,
130,109,267,514,966,211,884,515,944,809,073,514,332,632,242,735,778,120,821,
677,711,188,564,726,835,667,029,265,760,349,778,091,528,887,144,987,525,531,
518,509,074,958,801,213,366,976,031,983,253,522,570,251,036,819,312,654,437,
668,033,638,656,812,305,068,288,519,196,288,412,110,176,881,873,282,879,373,
443,542,281,027,563,045,060,675,238,973,378,780,739,637,681,438,816,980,375,
442,900,429,277,458,316,751,443,692,050,057,298,132,777,895,495,229,450,694,
787,859,967,139,587,440,204,341,216,138,264,336,348,929,974,080,951,123,261,
396,390,773,698,562,546,066,057,948,024,814,886,979,196,798,919,086,519,842,
916,618,216,354,451,840,205,901,947,562,121,842,031,143,484,820,861,402,156,
035,206,056,980,695,107,493,662,460,128,739,748,305,030,773,023,725,417,070,
111,810,870,006,473,230,397,368,378,852,089,723,977,011,067,418,496,868,778,
642,760,339,025,497,250,161,131,864,732,854,935,849,557,439,952,648,559,904,
266,086,742,058,488,871,724,149,214,463,416,306,007,918,523,037,249,497,191,
815,004,385,801,983,770,622,514,678,006,980,833,227,544,148,018,719,810,706,
797,604,518,837,907,906,371,823,536,123,246,228,979,732,088,569,563,708,028,
022,694,115,224,209,796,944,205,287,622,181,326,195,590,665,488,420,497,342,
769,585,214,573,506,762,138,417,505,960,492,165,407,344,297,219,642,236,979,
737,763,747,337,973,006,244,956,830,260,965,592,591,341,990,006,351,182,980,
584,816,466,482,875,441,943,932,639,706,225,703,390,927,924,561,480,105,926,
777,143,982,872,829,470,417,750,953,772,279,882,883,416,311,455,691,034,676,
857,409,717,607,579,784,830,786,153,139,786,154,959,186,336,484,481,960,930,
216,444,144,306,106,085,082,347,625,969,584,135,290,520,426,090,987,713,346,
382,904,653,097,013,910,117,413,828,141,230,032,228,321,410,769,693,267,166,
828,262,799,393,492,779,054,246,511,367,895,519,448,888,989,728,712,078,061,
931,758,632,848,270,380,641,241,351,708,462,549,766,492,333,417,220,565,254,
932,495,925,185,611,937,331,578,113,849,851,250,673,154,853,764,999,911,235,
161,822,400,439,022,820,625,767,183,529,583,921,316,087,824,346,642,975,951,
395,176,756,103,405,063,272,819,284,796,920,706,596,721,102,636,284,750,227,
704,387,015,056,070,967,007,734,977,168,547,668,705,855,857,125,768,495,654,
614,624,339,554,215,776,570,535,735,850,043,980,085,373,998,316,545,520,132,
080,815,476,602,821,885,251,781,817,864,646,092,573,083,727,466,702,875,163,
782,888,297,214,411,662,935,915,616,411,723,983,783,691,704,710,046,348,859,
252,046,912,297,742,008,100,454,589,596,293,357,945,129,491,550,801,661,094,
656,487,371,426,012,967,791,606,392,016,316,516,682,713,574,263,907,175,979,
953,878,484,689,573,803,359,806,168,130,368,045,350,145,140,820,011,989,832,
410,765,936,573,755,160,384,572,051,516,188,001,388,054,598,385,016,319,093,
568,480,438,037,720,624,354,683,873,798,497,578,425,981,499,926,349,070,110,
056,508,798,119,419,452,441,675,448,803,189,296,054,836,491,244,063,975,808,
774,382,804,917,129,000,047,567,125,457,877,639,203,674,038,531,496,109,454,
172,069,062,577,702,186,329,270,780,160,003,858,774,751,469,558,482,168,448,
693,753,383,760,024,786,537,326,116,382,601,902,703,846,108,955,957,374,246,
978,586,860,670,190,310,387,075,615,270,866,548,323,273,459,374,952,127,343,
831,111,791,361,002,255,036,726,866,835,325,525,606,590,924,313,156,559,187,
168,790,770,015,949,981,577,471,527,765,495,900,856,031,651,893,982,299,274,
399,614,172,341,200,699,443,630,739,116,855,580,106,916,774,390,649,550,911,
737,217,574,688,387,594,368,684,841,585,300,147,931,472,209,577,773,377,193,
624,881,375,099,361,596,600,130,495,297,292,452,520,071,968,346,312,965,757,
581,051,743,280,249,969,872,079,422,509,773,775,563,085,503,730,544,081,246,
825,115,585,704,856,188,644,565,833,462,973,431,852,663,896,053,676,666,626,
338,886,496,522,857,783,704,998,641,237,969,307,662,235,529,035,987,890,188,
218,686,207,649,202,532,607,019,693,682,012,832,370,707,703,160,393,848,044,
453,817,328,495,286,911,975,004,229,499,477,943,531,286,467,104,215,035,014,
344,397,238,588,332,848,311,689,485,574,915,564,773,541,831,734,714,304,533,
219,843,739,459,039,730,264,366,842,547,655,182,581,434,308,603,424,854,945,
191,630,198,526,278,958,378,434,414,718,960,303,216,767,035,458,902,028,321,
185,954,337,822,593,019,355,876,932,368,718,958,783,745,372,919,018,361,679,
039,268,647,510,535,666,244,836,025,716,938,685,834,661,085,687,034,141,626,
285,585,026,984,725,964,248,977,146,383,858,237,860,212,544,128,308,556,257,
615,131,698,263,701,420,766,221,852,884,785,995,127,905,699,735,714,823,221,
474,012,898,980,978,496,213,367,150,824,890,130,631,137,196,958,439,321,632,
267,360,358,940,944,314,174,684,284,274,249,691,278,618,128,283,038,709,733,
354,976,505,287,026,140,274,172,900,867,207,563,335,726,070,024,289,706,885,
316,050,186,666,737,877,039,350,322,900,549,859,199,408,323,114,843,024,631,
221,675,490,328,144,730,250,808,381,418,863,022,441,275,199,011,137,619,791,
149,007,404,025,428,196,330,862,577,042,873,208,884,509,387,545,918,398,339,
834,076,220,530,349,647,573,820,701,951,979,298,503,512,019,295,685,607,521,
786,244,023,085,361,577,173,293,347,853,863,519,160,163,246,229,791,842,803,
406,366,302,591,575,088,810,956,952,823,104,254,171,383,027,763,451,316,327,
675,582,901,065,189,318,552,701,798,761,665,610,942,825,375,179,653,706,869,
608,067,717,840,238,745,440,859,278,110,528,257,710,835,513,523,249,473,200,
436,909,472,296,119,785,525,807,661,197,533,255,020,519,608,157,781,440,048,
060,081,064,335,398,464,705,505,951,571,646,122,216,832,134,026,583,161,681,
665,195,974,020,455,126,864,617,211,389,015,272,018,265,845,157,452,321,949,
681,966,575,824,237,838,686,438,902,289,192,734,184,294,369,475,942,400,199,
615,324,611,704,824,768,477,633,183,397,030,580,364,986,853,651,835,971,371,
474,506,337,049,072,607,702,247,303,355,687,223,607,776,437,781,170,982,243,
952,753,798,331,593,666,127,959,364,363,911,261,727,315,745,690,594,150,423,
908,776,955,125,554,332,169,384,065,213,942,545,785,879,214,103,383,208,741,
091,517,318,251,554,387,728,483,324,884,495,933,485,635,365,551,023,762,652,
584,685,155,908,166,235,442,648,794,111,277,862,160,659,857,444,624,440,842,
429,157,870,556,586,056,922,205,450,595,830,500,072,974,247,704,602,334,382,
041,776,110,191,451,970,073,827,849,794,753,680,896,787,997,012,837,155,149,
897,092,423,297,922,141,448,798,744,637,262,575,659,927,673,152,422,738,610,
651,855,994,563,649,251,491,271,510,430,208,777,762,768,451,739,274,489,685,
731,379,919,852,690,741,562,254,442,343,827,967,145,279,898,690,453,314,868,
247,270,215,554,890,828,241,618,083,685,756,606,554,342,429,651,610,739,586,
086,023,341,258,821,249,152,090,312,437,026,827,082,168,689,903,889,151,491,
941,872,395,438,065,119,193,002,707,397,991,741,586,299,874,067,754,623,333,
707,113,765,723,620,397,183,644,213,467,072,113,252,471,042,061,333,579,669,
315,914,180,258,727,269,828,640,668,658,112,935,859,847,759,348,128,050,272,
307,443,968,072,439,841,312,840,248,582,089,880,594,629,279,417,304,548,908,
554,506,501,159,307,517,917,804,774,680,155,438,706,475,067,570,419,853,825,
349,552,845,366,266,551,481,181,706,456,341,652,010,137,734,066,215,486,446,
961,500,206,527,019,857,455,462,649,728,633,127,291,040,346,390,797,672,364,
302,349,438,001,335,259,319,813,745,542,434,282,102,503,017,007,287,435,788,
325,949,085,333,097,116,785,536,578,375,379,338,346,574,359,929,332,039,866,
662,893,953,400,003,311,875,750,779,301,586,983,725,224,293,710,627,801,310,
273,292,183,266,809,235,267,876,136,405,889,776,184,342,329,848,894,492,903,
244,739,655,767,186,722,666,208,626,628,654,392,785,438,030,322,622,419,897,
420,830,372,154,162,690,203,489,137,425,361,906,083,595,472,456,645,217,163,
997,517,166,689,733,323,036,911,332,720,600,698,002,381,673,058,676,417,702,
760,454,452,194,369,395,947,029,687,886,703,146,872,741,345,400,350,859,847,
231,459,296,938,025,788,234,464,154,886,987,805,144,652,623,117,505,833,354,
669,561,486,766,275,727,994,020,781,400,537,841,484,087,181,509,332,901,370,
907,876,627,336,485,490,500,342,773,866,220,404,573,158,095,151,784,206,140,
102,518,638,961,356,854,868,458,477,215,208,518,887,952,197,099,969,484,344,
579,357,398,277,371,707,847,649,605,235,832,457,774,017,817,662,649,791,901,
646,199,562,569,268,794,314,854,558,573,825,830,619,712,310,988,485,266,772,
298,292,335,600,065,458,722,184,808,611,780,806,075,025,636,288,861,905,872,
315,486,138,613,803,830,584,012,687,970,569,262,547,585,535,958,135,572,451,
956,851,207,161,090,856,781,542,331,005,401,766,434,927,375,045,543,634,825,
906,166,967,390,311,782,873,265,685,091,393,376,042,823,938,442,135,451,512,
990,924,592,658,114,291,007,784,766,058,043,353,634,707,642,577,797,462,659,
978,404,961,842,585,671,986,325,422,457,477,919,285,927,221,963,363,148,090,
013,869,177,618,278,032,180,818,200,895,368,460,855,103,219,572,441,971,629,
444,229,240,197,917,447,227,787,505,063,628,213,862,041,261,495,954,262,024,
554,042,185,519,126,052,158,252,285,155,732,569,359,177,627,722,274,084,522,
520,130,011,382,586,290,516,463,083,472,861,917,175,993,158,922,312,908,662,
461,853,428,135,804,661,549,276,552,486,405,808,494,529,722,695,905,923,687,
502,131,060,566,303,645,738,114,747,531,569,009,188,127,210,579,286,878,806,
765,091,997,353,821,765,008,525,546,829,452,206,239,175,901,711,473,238,238,
423,132,132,906,687,076,996,208,952,379,369,232,180,593,231,005,574,909,613,
789,037,863,180,369,952,204,023,816,702,187,997,373,261,580,630,412,361,302,
394,162,014,969,064,407,063,711,878,863,733,428,652,075,748,016,307,159,334,
380,088,056,676,918,696,568,845,076,876,406,555,735,803,407,554,572,216,170,
963,525,903,952,240,082,056,350,120,386,061,195,108,134,616,055,048,721,268,
320,935,066,569,097,403,800,661,425,976,090,178,024,771,469,744,514,587,263,
624,039,044,893,677,860,424,922,984,122,011,195,198,535,154,381,934,669,109,
145,509,186,311,440,116,560,939,645,819,865,485,555,285,589,846,613,869,338,
577,642,936,269,513,553,734,961,769,256,005,908,509,096,749,885,828,722,326,
110,672,796,375,730,318,462,856,538,631,593,868,439,035,672,552,539,475,077,
457,965,069,421,715,335,525,412,474,472,897,623,582,962,570,535,680,070,488,
111,622,385,181,501,427,220,929,832,149,818,058,726,865,475,363,571,506,487,
207,428,220,098,660,478,214,076,352,379,824,720,381,623,339,071,113,069,853,
461,046,540,207,605,092,401,598,153,203,807,350,603,178,005,392,686,146,341,
454,023,176,096,915,334,525,645,076,146,225,360,041,435,495,392,802,629,528,
417,621,333,620,350,127,931,584,888,036,779,748,121,880,171,378,822,637,862,
278,522,126,187,827,490,833,793,104,727,818,785,905,906,870,709,201,518,799,
442,685,524,353,853,732,604,170,283,362,394,765,978,377,271,465,313,790,228,
410,294,949,112,346,671,195,364,675,835,154,453,860,240,364,865,438,777,111,
772,459,313,478,962,378,066,701,085,245,211,927,305,764,081,052,157,807,619,
484,310,876,700,788,852,247,033,916,089,123,620,619,769,180,770,687,398,006,
794,395,203,738,067,541,218,141,467,440,226,328,504,429,524,526,196,486,484,
362,998,372,242,672,428,234,283,197,476,541,322,165,690,997,967,260,416,458,
594,062,544,495,427,113,897,816,885,446,324,146,000,184,934,093,468,155,177,
953,572,073,200,300,759,179,514,385,996,793,168,330,216,596,495,587,409,720,
684,236,151,378,997,607,234,976,990,881,304,938,596,748,794,810,968,655,168,
832,742,331,112,620,956,429,701,828,846,870,495,096,991,532,110,506,743,381,
369,620,441,306,862,418,223,300,850,082,799,319,567,930,789,489,576,115,384,
165,872,434,722,114,101,135,324,086,564,393,366,735,706,139,336,077,819,121,
293,583,030,644,743,321,515,161,432,366,295,236,896,295,722,051,761,322,960,
618,364,278,802,808,156,500,575,584,729,755,682,210,458,245,069,945,538,450,
474,506,700,427,836,256,916,119,634,710,705,883,857,569,269,574,356,224,246,
325,112,611,120,655,414,273,693,108,213,367,731,173,088,631,627,251,485,322,
885,043,472,483,257,300,346,336,504,208,205,447,005,411,071,114,656,356,225,
315,546,031,013,607,024,152,925,718,316,183,509,969,483,413,621,495,167,512,
760,981,023,644,782,292,417,874,751,318,340,595,056,830,017,528,137,102,152,
355,647,295,871,727,790,998,643,785,992,397,478,849,702,279,656,840,801,475,
437,139,667,342,358,580,722,459,592,846,113,917,210,283,660,540,270,140,633,
014,999,375,610,647,581,380,826,964,860,114,456,884,543,372,332,065,668,863,
627,868,054,933,769,929,560,512,888,802,895,677,846,775,267,902,649,786,097,
938,408,576,984,318,835,008,614,533,314,893,154,680,499,609,212,939,837,351,
866,040,562,198,255,195,422,606,062,401,437,205,861,936,084,076,021,612,136,
019,201,159,772,300,245,313,320,128,099,472,844,029,247,821,609,421,052,282,
292,703,762,931,500,540,508,182,784,876,557,334,195,780,326,933,228,875,653,
049,319,942,433,494,979,392,925,937,756,366,610,004,119,683,371,689,538,168,
451,960,317,824,764,278,660,604,532,728,206,877,042,305,904,206,416,038,738,
744,722,278,366,858,005,579,997,786,995,085,325,253,144,101,844,432,637,826,
074,897,167,700,717,942,392,866,301,416,157,710,740,431,588,903,411,005,099,
138,902,093,710,895,113,594,580,207,736,775,188,006,971,489,331,777,002,820,
507,874,603,257,578,232,190,056,369,855,090,534,295,792,428,384,808,612,890,
046,530,675,259,143,649,220,954,054,821,715,510,512,217,291,472,402,458,129,
819,651,110,499,431,896,023,984,093,533,318,069,536,150,310,172,798,046,336,
384,507,937,923,066,421,402,887,466,514,398,242,008,510,209,575,423,988,241,
813,895,349,036,223,474,911,608,343,215,793,307,896,929,074,939,549,020,991,
869,231,715,895,632,111,307,731,753,720,890,094,664,049,913,006,783,659,600,
885,210,211,940,051,342,801,407,671,825,054,580,340,565,522,321,303,007,307,
212,241,721,657,205,743,551,262,903,685,926,699,326,326,815,702,261,483,172,
620,830,413,068,236,220,158,170,529,350,853,131,710,937,353,894,130,473,421,
884,509,281,593,072,568,789,068,578,416,306,371,581,168,172,853,101,114,604,
374,469,302,173,007,984,496,714,478,039,422,020,349,425,774,424,433,133,725,
050,007,405,550,080,362,727,168,325,512,589,318,621,298,988,055,548,655,485,
848,165,384,140,537,321,256,863,025,915,836,237,535,077,797,799,294,662,427,
458,139,684,562,997,690,090,082,979,411,683,393,199,011,349,908,195,711,487,
047,710,065,071,033,171,769,236,513,694,621,372,107,905,636,127,767,730,989,
579,727,105,183,888,475,995,883,527,955,417,764,430,932,402,215,113,326,106,
297,734,434,260,114,331,087,807,339,296,640,460,238,026,106,273,926,199,497,
867,951,298,658,715,926,270,685,787,141,198,347,196,026,489,445,279,948,776,
430,969,158,867,437,782,007,716,424,427,924,832,178,128,866,151,367,575,508,
029,382,736,170,775,654,488,571,742,155,991,708,206,300,908,468,222,142,183,
650,870,436,683,711,994,560,455,090,026,815,141,046,367,344,366,521,134,932,
814,896,421,246,438,437,946,716,898,961,150,026,670,583,807,584,900,704,385,
362,307,975,115,008,962,007,925,459,515,075,073,767,737,690,169,890,688,372,
967,719,834,974,988,588,801,376,725,732,469,281,301,874,557,954,543,721,796,
239,478,596,295,819,452,297,014,388,939,490,963,805,303,856,924,550,996,828,
052,057,407,337,284,896,531,790,478,982,867,779,738,286,313,622,569,545,773,
188,601,268,323,790,542,071,295,839,224,029,615,311,124,988,053,892,193,158,
504,417,918,342,576,243,263,242,061,570,780,628,358,941,744,996,424,633,072,
799,014,886,054,498,592,820,689,559,801,927,353,244,296,063,246,889,013,975,
601,418,071,939,097,722,321,312,259,972,598,559,261,113,984,427,699,767,523,
531,811,158,206,394,695,417,571,637,941,690,704,979,728,487,606,224,457,750,
251,531,779,707,822,832,346,310,076,089,400,424,375,528,534,100,966,605,010,
378,579,263,033,846,136,135,729,458,677,101,423,660,724,925,825,620,674,523,
090,125,512,667,654,371,091,134,269,129,174,738,995,887,253,983,802,958,637,
896,895,169,536,270,664,792,579,641,741,949,366,924,632,794,151,438,765,799,
892,135,772,737,197,724,327,635,149,869,626,375,308,174,104,571,222,583,670,
443,595,378,315,965,339,915,425,500,413,577,951,511,930,094,371,370,775,052,
572,500,449,981,110,154,277,105,575,556,631,997,109,888,559,348,834,856,721,
616,578,058,962,187,949,910,972,424,606,978,704,824,742,464,050,739,699,382,
380,756,591,834,474,904,566,347,791,493,909,307,065,818,722,785,877,021,354,
865,264,375,922,804,945,100,585,703,275,861,633,667,729,833,418,268,403,293,
435,265,586,601,534,268,621,722,980,826,663,690,891,962,862,075,165,250,843,
184,325,955,094,846,018,747,501,554,377,697,101,860,391,222,931,400,503,414,
941,653,414,858,374,055,427,968,863,006,886,804,093,832,929,228,905,117,532,
807,109,321,100,376,984,090,071,705,258,560,031,696,840,258,047,588,070,927,
155,686,546,572,767,270,960,222,902,043,147,422,884,251,378,103,837,682,984,
976,869,641,227,870,011,032,093,064,968,318,827,448,744,912,243,101,029,971,
079,494,256,107,036,436,536,766,996,822,432,133,187,679,484,389,000,894,945,
035,443,576,276,773,395,063,984,083,829,590,133,623,128,055,208,197,166,057,
093,532,647,724,850,279,038,407,784,514,607,501,343,667,540,459,041,709,679,
439,152,265,170,253,222,360,385,061,302,042,400,160,927,202,785,183,648,663,
915,055,798,854,509,493,445,083,049,678,713,464,418,070,636,568,048,416,521,
914,799,411,144,373,704,961,350,314,413,072,133,550,409,633,766,391,043,132,
202,509,755,477,497,447,952,656,971,662,658,609,907,930,081,248,256,921,023,
317,730,033,317,272,716,605,966,417,587,790,436,319,086,806,134,834,963,383,
776,545,461,788,832,501,575,161,364,162,461,837,645,032,133,467,797,866,545,
154,849,378,809,050,446,943,511,591,834,091,328,706,016,370,068,015,038,583,
306,214,521,184,329,320,326,748,860,539,811,042,452,752,189,145,127,781,547,
739,793,283,459,452,410,569,006,704,756,500,902,606,673,820,620,010,119,387,
151,261,006,668,825,585,475,086,228,130,294,737,168,684,682,683,220,681,280,
680,512,039,402,014,730,373,737,376,142,194,924,012,642,911,591,003,762,364,
374,454,041,302,858,488,080,526,466,182,166,174,911,883,613,997,957,599,643,
134,193,752,256,071,738,241,772,259,100,521,671,871,748,089,973,772,702,159,
125,264,417,314,857,409,881,375,143,678,903,901,465,245,794,295,505,791,314,
941,914,501,098,420,573,504,344,239,439,430,716,795,091,616,277,530,658,865,
379,555,665,466,299,246,454,575,060,391,243,571,583,882,729,780,317,993,075,
898,956,779,397,555,224,232,742,851,261,826,279,621,697,843,279,081,333,280,
562,205,397,950,707,288,697,205,909,268,696,223,576,904,584,866,321,615,093,
382,836,107,433,127,599,611,026,499,650,604,600,511,904,106,010,572,349,451,
057,709,990,427,607,034,743,431,792,310,398,713,364,348,667,401,409,396,442,
426,045,831,489,042,109,084,054,227,539,516,282,575,693,092,600,651,370,602,
627,415,939,113,993,568,782,002,805,906,567,191,936,140,514,181,762,886,189,
810,226,671,177,349,795,230,534,198,374,745,283,134,398,853,598,127,249,000,
259,195,321,862,487,764,282,369,260,530,127,682,594,426,388,273,652,629,828,
824,014,409,354,145,718,160,075,288,608,526,474,651,793,918,809,777,786,964,
031,281,854,958,499,084,308,445,014,828,254,803,441,188,000,549,086,110,341,
789,589,500,911,062,109,180,470,269,889,320,496,995,551,232,831,814,158,008,
253,648,203,892,515,956,238,484,763,065,147,824,772,729,189,845,788,452,429,
788,066,977,194,136,026,804,750,864,628,453,608,836,607,000,244,353,411,202,
851,758,857,249,067,061,817,197,247,087,384,055,969,611,900,662,357,496,825,
553,185,131,257,838,542,755,887,538,772,157,796,666,706,672,726,068,095,535,
235,581,966,686,524,584,567,134,393,418,485,370,992,661,710,712,208,238,516,
070,433,814,900,691,086,416,449,701,911,239,851,517,192,057,229,107,568,241,
891,437,579,363,148,250,901,608,575,313,653,005,585,179,545,679,904,797,211,
537,392,669,169,511,230,836,935,825,930,701,919,013,780,935,221,952,283,880,
794,534,707,441,272,058,331,600,410,337,366,498,926,097,884,783,431,485,010,
755,226,236,947,787,197,913,352,914,186,139,905,488,663,463,489,765,961,717,
524,128,883,250,936,973,699,893,829,817,416,018,049,209,465,485,004,504,365,
913,068,585,251,562,136,435,011,558,925,041,022,602,881,328,051,465,776,991,
423,858,703,388,313,574,307,275,032,922,300,304,621,203,026,722,571,301,043,
895,510,459,909,613,431,814,660,848,297,122,923,077,678,639,033,300,442,050,
194,782,035,916,007,273,878,989,072,031,971,262,379,372,089,026,111,468,567,
580,371,921,032,392,651,234,381,430,821,963,668,140,248,743,001,607,638,113,
697,770,080,651,979,997,454,558,324,430,802,601,659,124,534,463,559,673,440,
830,784,511,688,150,036,154,410,921,857,550,327,338,377,166,978,619,635,882,
260,633,183,748,878,584,083,942,615,670,676,169,267,923,161,874,683,202,502,
518,992,449,486,349,691,681,325,849,124,267,860,413,874,573,620,031,996,317,
430,829,783,057,411,810,536,590,656,307,321,200,185,948,363,861,700,466,287,
054,059,624,704,668,737,016,088,752,778,000,758,343,025,323,960,118,882,762,
793,727,793,603,013,672,257,730,234,288,440,050,677,261,301,221,010,707,584,
151,287,572,763,486,128,757,833,803,982,293,597,574,612,004,296,219,528,951,
893,737,296,055,361,080,325,133,657,553,881,684,373,320,376,149,683,218,289,
111,238,709,461,456,493,309,761,786,302,541,956,449,221,753,078,182,174,174,
718,627,125,825,375,966,550,210,959,179,535,552,195,826,494,156,031,821,537,
274,544,211,458,359,493,351,551,811,669,536,056,529,732,574,019,679,567,283,
201,219,193,208,101,973,864,482,431,199,181,954,863,086,234,718,130,494,628,
642,727,686,752,983,088,892,689,792,870,447,507,058,729,730,224,524,799,769,
338,166,443,132,305,993,541,310,608,042,361,064,664,654,892,435,866,214,445,
105,086,174,932,950,027,884,929,904,271,274,940,553,085,861,267,922,310,705,
854,804,850,349,728,034,173,196,320,049,829,710,557,781,104,703,489,996,047,
098,770,802,583,809,646,660,629,954,070,881,369,791,373,510,732,038,453,054,
867,962,737,429,931,380,355,506,044,859,326,708,784,864,839,871,237,565,684,
121,082,359,656,371,935,358,412,009,006,639,804,108,334,611,526,040,124,692,
988,092,351,396,233,002,593,791,388,337,509,553,017,474,942,357,723,675,707,
839,646,517,288,494,508,079,834,790,969,283,941,587,789,764,840,018,996,801,
236,574,240,678,252,927,213,392,059,684,162,937,943,297,045,442,349,002,332,
722,348,462,469,274,078,950,782,043,510,417,745,398,782,673,370,031,290,578,
190,882,667,687,179,373,507,788,026,268,570,400,606,052,511,841,750,116,083,
794,875,654,208,546,284,199,879,748,490,600,741,951,148,374,997,212,784,497,
602,671,702,704,929,203,009,144,505,319,897,962,079,138,391,961,280,238,952,
039,810,934,142,787,392,910,205,881,492,069,788,723,295,309,568,387,259,534,
170,207,143,369,768,918,714,282,399,052,126,510,954,017,250,516,928,893,030,
040,485,793,764,033,972,595,616,089,319,932,811,174,449,486,853,721,385,268,
286,542,378,203,891,531,379,527,851,405,304,231,495,307,457,127,753,684,256,
853,970,474,908,269,749,854,473,424,748,851,031,422,009,110,711,168,331,356,
438,572,019,047,123,832,210,144,760,552,202,498,838,824,396,601,916,561,917,
356,383,072,692,766,448,679,564,753,892,061,601,623,631,306,106,682,974,325,
343,339,826,996,222,584,465,202,183,682,407,749,858,719,754,998,580,372,266,
167,226,951,840,798,342,913,372,131,004,662,694,237,349,903,824,601,248,398,
338,954,457,953,254,052,962,981,934,229,226,310,340,666,926,155,781,672,519,
443,185,518,888,035,086,365,760,748,276,373,038,901,206,059,727,161,643,527,
653,270,020,168,793,195,856,662,586,389,849,603,374,221,420,120,349,942,511,
518,257,234,829,261,584,019,833,486,084,692,014,782,518,888,391,859,365,669,
094,392,564,270,076,450,192,928,131,265,255,209,880,035,783,045,050,929,281,
081,231,297,256,789,962,426,881,498,565,795,106,178,231,873,177,691,630,670,
599,413,649,146,945,084,247,941,561,204,729,376,309,482,207,598,412,846,066,
218,922,292,111,264,448,838,219,008,348,280,715,898,354,413,842,386,209,152,
538,146,828,121,693,327,122,986,283,249,443,760,503,766,476,402,486,663,042,
659,652,537,901,209,871,141,669,633,405,229,733,244,355,285,547,688,625,584,
539,168,116,739,606,627,558,862,360,386,552,930,385,683,077,388,525,319,844,
870,938,224,664,539,499,676,718,395,098,708,617,272,093,237,488,684,733,573,
778,976,866,633,419,124,610,199,547,756,947,792,303,936,447,452,394,654,729,
208,409,467,309,582,547,485,965,182,766,479,276,764,251,151,843,354,958,498,
740,851,605,852,256,872,906,609,099,144,040,892,087,046,194,391,691,013,347,
313,789,364,088,071,002,051,431,511,038,889,553,278,361,976,654,964,868,705,
685,644,959,848,441,258,996,987,581,717,580,371,898,426,167,780,698,547,679,
108,584,585,375,951,595,703,645,017,543,260,604,531,413,798,411,775,241,956,
308,199,879,443,056,374,818,607,831,422,336,292,710,507,648,843,300,398,492,
854,163,614,451,319,406,679,786,175,395,236,012,747,337,547,478,144,006,717,
942,568,675,440,689,238,485,905,560,305,383,783,341,042,914,153,668,285,093,
317,388,533,577,486,057,220,187,796,047,882,178,948,944,110,756,234,842,692,
493,023,621,168,020,749,608,181,457,848,053,858,463,720,167,588,614,420,460,
677,393,682,551,948,503,412,748,161,508,375,025,402,611,705,719,387,077,220,
601,486,760,878,312,214,268,774,947,938,692,749,392,257,749,554,228,448,046,
886,362,828,770,045,774,526,494,464,678,652,479,950,454,733,826,619,064,606,
164,800,416,506,558,906,206,654,963,976,516,071,435,007,898,655,478,335,302,
602,243,673,261,722,757,811,779,247,820,044,858,609,529,450,657,753,738,265,
538,284,381,198,320,335,345,036,856,501,515,386,649,983,749,391,513,191,436,
619,959,867,458,999,192,962,475,185,218,661,759,787,686,600,965,445,555,778,
408,138,137,032,514,646,997,281,692,827,504,126,327,830,506,094,483,615,770,
009,226,492,190,018,112,934,916,176,061,141,284,834,427,244,493,733,774,976,
100,386,386,898,279,797,491,824,282,964,664,827,737,298,330,742,887,013,842,
010,527,013,307,061,247,853,987,930,854,396,488,684,675,484,554,698,921,225,
797,442,535,232,846,375,573,713,606,603,837,158,031,247,981,385,324,199,597,
116,179,976,571,284,275,075,048,140,536,413,366,364,492,708,413,498,681,917,
692,431,614,736,677,662,022,207,007,351,158,562,227,445,207,913,937,228,429,
958,170,222,488,256,681,479,861,637,633,359,454,372,620,277,223,162,171,124,
865,597,964,666,982,302,544,053,739,222,895,069,704,848,472,489,755,889,121,
118,648,772,437,849,147,011,174,607,929,603,286,976,782,291,219,251,527,413,
327,083,870,297,152,918,113,820,190,274,860,579,724,571,132,865,766,475,278,
784,753,688,483,969,949,067,751,035,952,919,030,992,569,862,002,827,091,154,
367,085,953,346,174,145,588,410,377,697,736,664,252,636,185,705,983,044,209,
305,023,127,530,743,463,073,753,892,042,747,964,742,070,277,532,606,630,370,
284,487,718,333,600,160,291,773,726,622,980,773,733,256,974,101,009,005,114,
895,694,015,471,239,693,822,054,360,220,799,295,387,835,569,999,389,874,750,
539,687,071,297,761,187,867,744,249,910,421,562,174,289,190,362,082,541,336,
691,840,091,781,055,830,567,730,355,811,931,899,005,779,107,971,737,412,461,
190,089,433,467,789,788,335,511,520,755,457,615,355,247,541,791,900,618,251,
238,781,078,440,046,497,894,761,026,056,745,921,273,352,545,106,734,496,088,
453,710,933,180,932,777,044,177,827,266,891,408,667,002,922,753,995,143,342,
902,964,347,448,669,549,913,645,719,392,735,088,308,206,337,262,935,664,748,
454,891,949,732,858,579,917,180,887,989,224,541,045,447,520,510,094,180,576,
410,274,915,828,828,386,683,368,645,387,347,382,367,069,162,605,453,049,838,
832,210,873,877,224,129,382,599,586,806,152,475,788,216,864,907,603,540,697,
083,588,746,882,875,221,637,377,887,089,711,698,913,226,932,619,227,432,587,
630,248,408,227,786,511,316,990,159,763,048,798,626,330,985,718,998,931,733,
354,157,834,828,710,721,240,781,518,671,955,441,210,063,599,499,941,356,332,
252,706,510,536,179,525,714,273,049,460,023,115,242,336,217,436,717,916,992,
343,555,633,252,463,014,330,759,517,520,534,977,084,211,322,268,534,308,157,
545,464,508,252,783,642,220,363,037,138,133,967,932,103,160,435,286,674,898,
237,890,561,790,574,546,009,213,360,386,841,726,785,813,292,206,433,988,574,
217,991,209,155,592,243,892,718,080,822,823,958,223,439,063,184,388,727,956,
217,362,375,287,064,296,009,579,927,418,808,793,056,701,796,665,234,453,427,
369,179,094,378,237,399,571,415,767,307,388,582,608,138,943,589,667,345,335,
415,740,167,309,401,116,230,191,654,832,121,687,835,182,689,419,575,992,361,
476,099,463,616,079,548,743,919,255,542,543,512,463,823,826,817,065,042,085,
271,470,507,647,966,543,174,332,697,966,945,356,012,788,134,573,070,597,460,
307,836,861,592,824,036,204,987,227,469,067,785,114,410,326,053,800,766,829,
044,605,841,068,616,288,857,784,410,808,021,415,466,173,902,011,596,493,721,
550,529,603,756,335,555,962,905,526,119,706,505,757,748,949,575,209,153,634,
905,866,168,515,466,301,012,083,503,091,638,345,070,173,016,562,411,076,010,
973,890,577,581,159,060,960,769,817,800,663,937,707,513,371,111,717,547,809,
166,787,166,353,603,659,527,326,957,201,439,533,940,805,632,900,163,566,256,
720,047,189,285,387,947,237,153,393,714,762,268,300,244,744,825,211,506,707,
015,674,035,015,888,328,207,439,335,293,867,181,986,267,244,209,270,316,386,
604,089,450,601,504,820,824,370,321,570,813,665,337,950,519,321,860,120,245,
168,941,032,266,089,766,257,595,368,596,210,389,657,887,462,814,180,659,240,
942,135,862,019,757,700,273,733,700,770,687,073,932,187,580,254,788,030,710,
506,912,324,132,826,682,194,686,758,728,027,384,842,531,550,361,949,553,450,
170,712,410,177,873,733,240,787,209,536,560,628,336,034,417,284,941,613,791,
912,575,565,630,865,354,824,651,615,184,298,131,906,166,442,046,435,136,256,
534,013,644,151,405,210,442,807,306,146,107,920,613,934,048,458,024,681,027,
860,536,885,947,357,228,674,853,795,912,630,630,947,153,173,926,817,976,717,
070,704,770,609,432,193,366,831,879,996,478,251,361,653,446,465,013,819,740,
732,110,909,796,110,720,055,750,702,241,363,617,334,028,936,148,257,371,148,
100,145,108,936,387,421,991,912,383,602,087,457,505,498,053,953,084,802,430,
728,373,949,086,172,492,293,683,859,464,461,244,967,547,944,220,511,853,701,
124,481,349,315,915,289,914,055,196,429,256,331,129,456,786,776,007,416,715,
458,452,313,788,949,245,438,166,804,544,238,261,653,103,887,933,676,278,847,
826,066,322,368,125,016,044,094,316,877,791,067,801,437,807,671,302,710,771,
254,260,102,410,498,486,081,333,741,654,270,639,502,981,120,582,705,989,385,
868,466,660,075,122,026,357,282,546,984,223,229,564,234,769,481,616,730,988,
091,488,999,979,885,890,193,144,166,069,420,095,185,616,896,829,473,919,917,
974,905,233,765,749,406,730,386,693,163,694,369,597,465,322,847,869,538,831,
365,141,212,308,151,344,951,536,270,992,336,889,897,788,739,691,419,592,584,
328,299,060,624,540,226,201,566,637,622,774,633,606,434,454,153,425,426,459,
354,520,561,732,244,193,896,286,192,684,811,390,595,628,035,394,842,170,673,
021,207,623,846,163,875,699,352,867,517,181,141,259,563,183,091,649,981,706,
864,223,754,946,331,287,656,641,441,226,990,297,605,745,675,968,021,587,739,
497,266,647,852,096,824,720,961,036,592,187,773,526,613,710,981,898,024,198,
309,021,422,916,398,867,848,433,175,566,244,166,119,316,404,861,788,803,528,
585,976,479,776,629,596,828,024,148,986,172,365,654,898,585,616,511,147,996,
920,884,638,192,824,170,965,853,013,136,112,938,997,336,027,157,457,716,200,
692,514,913,163,717,421,257,865,560,693,556,875,157,390,171,176,739,829,398,
002,769,950,597,440,493,943,468,773,225,362,199,943,539,663,748,661,835,601,
843,782,976,299,930,698,041,619,063,260,939,016,640,921,497,423,158,449,208,
215,210,019,287,692,871,926,164,252,403,251,172,603,331,477,028,073,899,434,
677,805,493,393,649,597,888,554,212,270,900,769,061,074,553,568,327,431,153,
572,342,476,135,761,802,269,869,651,626,323,163,352,942,227,720,341,891,628,
190,214,770,834,176,824,785,669,360,163,356,491,221,017,190,667,414,165,299,
873,750,579,672,452,302,976,438,892,018,576,842,640,686,142,089,943,086,694,
248,406,593,576,245,289,206,746,070,240,747,464,206,176,246,968,259,488,714,
559,025,235,863,837,916,926,048,604,055,265,206,790,649,245,713,143,407,792,
913,794,404,833,363,762,673,521,213,292,765,585,669,191,283,067,794,518,020,
727,365,475,343,497,377,327,042,371,125,856,423,638,370,155,362,807,467,524,
920,706,763,575,883,906,249,038,380,903,255,294,477,621,900,803,468,638,191,
217,124,305,570,400,536,457,294,061,597,116,993,744,040,416,619,270,709,882,
895,871,140,445,942,786,350,425,808,363,068,647,997,657,033,047,181,233,830,
946,186,372,987,462,931,464,135,450,819,312,274,660,380,970,485,649,253,080,
838,640,205,223,922,826,734,900,453,027,869,616,757,737,981,332,168,834,991,
355,751,852,890,555,383,548,980,612,684,549,258,021,150,140,661,715,506,208,
230,488,052,546,902,534,694,403,040,365,168,230,345,629,898,996,618,222,734,
712,163,095,909,484,597,779,365,610,192,658,800,338,207,851,703,762,291,795,
601,030,495,486,152,395,027,861,587,848,860,756,194,110,923,364,596,122,156,
994,648,962,884,791,450,130,524,679,828,163,348,899,425,230,422,627,815,388,
866,437,162,764,121,806,107,561,544,395,254,852,983,112,312,054,998,965,472,
742,796,035,035,708,888,054,006,096,571,809,976,466,771,383,614,796,407,550,
068,522,064,721,733,119,696,392,458,653,850,817,555,978,120,650,116,255,933,
637,136,343,217,217,741,635,051,342,413,518,631,403,348,576,645,363,405,760,
850,404,985,324,815,356,874,186,291,432,014,199,232,391,692,726,775,901,218,
336,479,448,738,368,448,853,507,460,924,899,901,761,128,907,885,269,990,572,
721,545,979,112,113,497,312,261,835,373,222,555,135,947,183,863,319,563,975,
457,400,945,263,009,799,754,223,437,851,634,313,550,578,889,990,322,166,118,
936,815,911,968,136,677,737,853,706,531,894,814,114,008,249,208,907,078,244,
455,938,409,761,651,509,944,298,301,413,672,331,654,678,073,029,172,632,216,
907,145,903,280,555,571,273,002,536,211,002,956,514,384,381,940,223,421,021,
748,770,091,388,185,074,318,146,379,068,534,006,460,011,032,924,798,467,619,
718,692,132,155,177,400,777,261,817,085,368,381,656,212,839,000,502,026,929,
265,831,003,084,513,082,820,218,448,691,006,301,140,012,566,685,646,797,026,
808,770,229,103,719,957,323,597,893,843,623,977,302,155,714,646,180,982,374,
564,284,279,665,336,593,946,716,030,911,933,759,431,779,165,391,006,746,389,
433,495,182,750,291,463,428,307,373,432,850,757,830,405,299,286,919,173,076,
654,748,784,509,455,592,595,105,853,074,908,567,659,678,903,259,272,636,918,
454,483,080,728,541,325,781,249,225,886,146,350,687,636,495,074,376,494,115,
449,430,825,760,670,972,325,770,188,064,793,718,263,340,120,442,036,305,352,
731,213,506,286,820,097,830,221,032,969,812,961,508,145,180,533,576,995,174,
260,318,337,801,381,612,283,710,532,555,229,146,826,430,404,236,564,399,056,
728,863,737,919,723,300,962,619,273,126,509,701,981,511,004,314,646,452,036,
735,146,538,742,768,585,746,258,956,410,952,528,266,946,522,106,249,100,563,
228,211,861,395,188,161,362,987,784,265,681,741,060,499,588,692,309,456,201,
332,189,068,044,832,910,245,620,292,848,978,559,019,324,424,043,479,906,368,
486,042,921,711,357,003,236,980,614,957,562,436,616,800,519,384,231,190,329,
967,273,816,259,171,246,624,978,890,792,832,236,233,866,778,237,543,117,504,
027,802,298,148,757,582,556,201,222,167,563,867,193,955,500,965,366,938,040,
065,346,805,651,508,686,095,401,129,856,829,294,099,418,282,622,872,826,172,
410,206,851,676,686,997,887,110,528,854,502,086,807,261,184,166,483,389,960,
587,926,076,771,284,419,265,064,326,400,488,737,267,349,322,090,438,468,168,
888,727,904,004,281,625,500,661,643,912,284,866,076,847,824,028,571,278,808,
694,647,544,109,190,995,726,426,425,620,806,940,809,626,525,732,738,853,092,
038,815,496,825,904,689,971,167,268,719,096,733,292,825,661,090,653,396,061,
077,822,783,791,620,142,518,692,463,514,181,488,232,894,933,345,689,531,033,
653,781,711,651,974,233,321,972,919,749,833,726,213,104,439,600,737,267,808,
982,672,389,583,862,173,066,870,510,185,815,328,974,138,023,513,125,225,015,
035,619,844,843,999,828,759,042,541,869,637,013,991,247,622,409,893,976,548,
986,365,969,368,320,632,538,426,274,015,621,005,015,122,499,754,771,869,769,
775,667,145,173,523,948,752,475,019,308,335,597,994,779,184,030,458,582,302,
470,739,070,321,976,277,801,006,268,731,799,889,081,357,149,520,648,897,069,
417,870,658,456,683,172,080,808,653,096,712,197,810,188,124,010,518,626,047,
127,442,325,006,321,824,160,337,546,802,006,739,427,941,352,830,513,765,667,
093,387,202,801,158,726,850,353,266,531,669,084,656,261,798,299,975,237,226,
556,135,863,794,057,735,168,989,418,824,936,136,540,387,426,724,476,948,368,
053,400,673,346,177,972,116,628,174,284,884,535,393,742,473,562,613,253,867,
401,841,504,733,731,494,122,789,468,381,300,886,600,742,616,159,869,297,221,
029,545,055,009,437,150,041,315,212,859,131,672,552,325,796,812,844,684,067,
131,604,127,300,230,906,572,762,623,447,433,949,832,300,495,412,324,542,625,
642,108,361,176,146,550,568,724,069,302,810,115,717,684,104,254,452,598,892,
609,582,371,048,783,289,715,632,754,600,544,028,164,860,484,058,857,832,682,
437,523,955,064,417,681,091,472,333,578,876,307,563,004,761,158,779,596,932,
534,412,089,151,637,680,991,533,382,111,858,157,463,267,496,816,271,727,901,
331,518,829,684,599,054,938,428,034,058,434,660,299,591,970,625,344,656,024,
021,585,552,617,654,447,868,230,230,551,016,275,271,001,781,063,279,697,424,
955,913,637,402,922,011,938,078,937,594,662,883,354,054,126,828,198,302,419,
731,146,120,926,278,178,690,438,179,364,365,122,599,820,891,167,385,027,863,
224,556,806,397,794,667,648,400,157,207,855,027,525,722,997,913,632,616,298,
160,584,089,221,305,694,430,045,311,231,554,112,182,758,520,773,516,948,598,
060,700,723,006,471,091,747,232,229,471,716,169,328,816,477,572,617,789,432,
725,700,898,077,155,436,631,300,459,308,680,784,187,114,580,983,449,971,899,
629,525,488,322,211,520,917,173,080,971,785,521,261,305,194,914,228,736,293,
064,117,999,081,792,541,767,297,345,760,205,371,823,824,101,417,383,397,248,
595,238,319,715,032,900,747,173,869,916,427,266,524,323,217,043,784,853,223,
976,103,831,447,926,547,555,395,429,620,550,914,909,723,896,743,531,700,864,
961,452,623,213,215,467,887,020,282,670,502,891,852,596,727,481,704,294,099,
785,837,946,328,944,340,353,452,877,959,426,273,306,664,717,374,112,464,423,
991,049,958,196,179,465,645,595,125,894,092,820,663,168,908,533,581,636,432,
355,015,853,067,038,063,449,292,957,112,699,943,064,952,385,233,086,137,526,
778,432,711,190,665,045,780,851,415,609,375,327,000,866,129,465,671,893,871,
956,788,311,657,215,986,412,998,780,678,498,539,773,396,255,088,625,034,708,
512,702,315,684,514,019,658,545,555,189,446,563,976,627,435,564,048,178,763,
500,863,016,045,879,697,428,696,821,040,335,770,790,887,761,349,503,028,934,
842,073,263,224,954,035,463,070,353,612,943,554,834,967,326,336,063,215,916,
705,448,261,521,968,794,350,474,620,843,055,154,088,760,068,776,828,139,094,
731,867,436,253,424,394,657,235,690,910,834,664,959,012,311,452,938,230,306,
690,348,843,598,134,628,406,650,850,173,180,362,510,361,824,854,071,341,564,
496,752,444,999,473,695,905,897,078,181,857,857,846,397,777,334,080,189,438,
113,535,151,716,343,674,193,436,769,105,200,082,228,961,843,964,270,447,102,
413,224,256,434,209,678,060,227,598,080,237,696,590,056,089,544,753,016,035,
211,085,963,824,116,400,989,912,756,335,088,083,376,031,438,115,027,415,311,
500,924,700,238,369,322,537,402,079,115,179,922,291,435,726,517,318,001,974,
340,501,062,608,065,118,219,272,631,947,592,296,843,392,112,388,972,995,368,
113,850,107,292,425,134,319,268,659,881,997,459,833,037,456,700,750,803,587,
353,331,399,904,609,347,419,587,424,553,379,947,190,152,808,498,248,377,052,
687,460,460,820,571,204,333,924,045,086,312,056,864,303,532,838,633,541,997,
062,484,379,649,939,892,004,522,766,664,402,710,903,273,318,211,000,797,096,
109,634,959,969,597,658,720,038,938,455,537,668,026,119,595,475,383,531,115,
630,923,844,332,448,494,707,163,110,295,986,871,938,883,057,173,990,627,304,
001,772,315,069,864,687,242,564,205,282,990,193,221,432,901,090,121,315,204,
826,268,089,796,739,013,965,257,299,633,346,728,717,634,629,497,934,123,511,
909,999,767,692,493,178,419,258,779,802,592,358,671,053,175,948,085,049,566,
121,627,300,474,878,073,523,235,789,329,283,061,102,661,114,043,953,034,892,
509,036,147,015,192,065,402,719,462,537,867,173,157,431,271,986,608,891,961,
076,607,232,973,105,668,450,014,174,480,601,483,011,389,734,736,709,240,513,
327,735,140,981,249,484,084,201,587,575,544,661,374,864,050,644,216,935,605,
178,714,690,109,623,970,373,912,665,687,055,871,478,405,645,274,390,748,921,
546,604,809,908,629,953,404,593,432,740,590,355,529,044,912,047,238,103,246,
131,018,645,540,308,948,764,113,290,479,552,369,948,836,220,753,894,993,804,
646,867,155,860,918,486,145,075,135,070,560,839,944,018,501,744,930,274,772,
193,464,667,555,408,967,555,541,450,399,306,560,931,805,639,709,662,019,287,
534,885,068,086,034,147,514,219,413,515,803,742,789,015,335,497,735,881,178,
003,984,507,743,083,128,731,046,764,674,137,154,561,502,638,734,500,768,982,
418,031,417,346,431,792,930,920,602,803,601,434,161,860,061,593,043,705,217,
493,876,993,769,906,686,625,947,625,858,946,466,314,062,731,192,783,191,009,
823,249,429,068,209,280,020,639,033,883,534,577,015,488,109,883,416,199,175,
483,987,604,554,322,311,447,568,636,383,613,809,170,174,941,913,442,252,961,
777,769,283,809,854,441,210,589,902,067,754,065,655,405,454,202,721,713,259,
515,330,438,114,545,064,823,019,113,110,217,872,548,825,747,621,878,996,920,
034,105,020,021,450,154,034,009,922,322,379,963,314,009,649,257,250,902,828,
135,886,397,092,997,149,426,829,630,756,267,074,276,714,460,198,120,276,609,
757,364,596,278,130,581,082,685,870,281,400,381,796,589,519,454,326,415,331,
577,795,719,647,422,348,590,094,703,788,522,389,213,428,000,416,498,598,707,
658,877,911,809,305,571,584,738,506,984,942,516,044,533,439,892,071,196,991,
876,842,688,791,164,570,126,305,034,465,711,268,748,333,791,711,524,685,717,
163,018,233,467,911,857,284,994,225,657,091,458,455,866,988,512,715,329,383,
647,277,851,321,225,764,671,872,779,859,563,166,234,550,406,272,729,708,906,
206,708,415,687,710,836,545,277,023,085,777,045,782,332,886,820,462,078,054,
583,220,892,043,320,628,109,559,551,499,512,594,373,279,500,423,235,516,801,
214,706,525,346,405,390,235,640,949,642,768,120,854,215,640,900,834,390,436,
566,731,282,446,282,798,678,776,301,594,590,274,181,178,884,966,022,945,831,
678,945,343,626,216,077,422,705,550,733,314,201,851,216,398,107,701,083,984,
196,475,891,312,708,533,310,477,000,952,761,500,355,850,915,850,861,110,469,
424,173,595,596,757,970,861,391,599,642,705,906,928,679,059,528,881,267,502,
105,864,985,361,701,963,298,106,082,655,070,314,194,649,059,453,163,635,504,
388,676,500,922,473,316,864,173,229,810,055,589,812,125,176,258,748,036,172,
806,206,436,801,348,002,936,585,259,316,795,394,311,405,337,326,756,629,507,
756,650,912,188,199,245,770,488,224,884,634,636,769,937,741,681,197,956,262,
902,592,343,146,490,236,171,622,198,482,530,209,356,877,391,984,920,354,338,
970,104,561,964,781,889,369,109,179,221,595,167,086,609,412,908,682,826,534,
919,154,443,132,625,069,833,347,851,536,797,355,073,520,939,866,224,821,210,
872,016,481,677,419,966,150,245,173,787,114,345,330,286,000,631,007,776,400,
997,360,951,571,851,891,554,468,350,896,299,087,540,811,281,321,935,430,363,
956,203,835,289,857,102,770,589,529,221,201,891,558,106,133,102,958,945,759,
315,193,134,739,503,162,014,611,595,092,620,860,337,846,426,060,732,683,012,
336,002,449,346,858,622,932,328,176,607,808,428,662,414,663,118,599,378,769,
669,207,837,392,690,031,104,097,421,451,441,277,719,886,962,399,866,906,068,
624,247,949,653,537,584,995,432,555,357,027,740,397,740,328,028,816,557,929,
813,592,064,642,308,846,668,567,465,178,479,918,803,603,759,198,798,182,224,
195,109,213,640,886,908,892,661,742,047,597,159,306,738,284,472,487,954,474,
868,602,989,415,937,640,678,631,901,369,525,716,346,978,714,465,116,677,904,
960,883,126,173,215,943,648,085,309,587,283,630,974,729,782,290,458,434,175,
634,663,395,733,354,680,808,093,616,284,524,086,494,743,975,454,710,227,249,
918,332,600,631,022,068,878,826,757,184,853,147,000,982,988,509,251,916,193,
018,446,306,794,036,246,087,175,926,113,722,302,770,561,020,103,822,730,778,
572,796,635,013,710,369,147,896,119,662,752,584,909,020,386,400,732,319,615,
009,083,897,171,036,052,209,050,544,037,067,870,837,086,286,672,390,721,220,
370,932,911,042,997,129,436,405,469,024,274,532,437,865,544,777,486,534,332,
850,023,010,129,899,186,672,489,810,048,373,525,496,083,264,705,744,330,624,
997,450,432,078,535,983,852,443,800,677,949,912,533,722,264,757,567,807,985,
153,866,729,123,921,553,922,776,626,143,243,519,326,859,982,118,354,894,127,
815,718,925,696,466,316,773,883,606,535,759,835,183,606,712,456,675,004,299,
335,876,971,829,513,475,821,625,007,285,284,217,154,441,534,489,158,835,476,
396,755,590,717,022,619,676,749,608,318,510,260,316,095,024,175,566,665,285,
463,085,400,738,950,386,618,754,414,480,114,646,181,538,416,836,261,237,466,
412,964,387,147,466,592,079,957,609,176,808,100,719,103,310,899,298,668,080,
528,300,622,041,349,151,994,790,115,895,459,214,498,527,179,423,216,346,179,
962,762,741,752,555,762,343,668,916,145,076,725,375,730,112,331,686,290,258,
316,833,482,064,786,313,156,820,346,675,419,318,049,465,886,944,648,183,866,
476,911,711,171,806,392,686,676,368,336,462,879,823,753,186,479,272,162,421,
578,190,951,482,657,906,627,137,172,890,859,312,825,365,444,267,760,790,538,
748,128,730,558,834,320,607,403,846,761,773,447,530,222,631,134,660,765,590,
150,960,085,350,289,103,512,487,501,648,923,312,716,335,289,501,248,297,429,
635,656,656,434,748,072,893,331,766,435,265,554,056,037,578,305,211,099,003,
771,993,005,102,522,775,527,444,843,314,784,787,834,491,622,611,583,596,769,
526,469,520,856,848,051,927,063,354,017,845,922,544,643,473,582,345,015,216,
968,434,119,925,898,300,734,987,379,587,731,650,034,519,932,093,595,387,937,
678,866,186,947,030,896,821,245,475,417,361,483,466,191,564,256,649,662,707,
054,838,456,565,854,064,733,196,612,070,021,392,086,641,496,092,591,761,113,
468,693,618,887,112,999,974,129,689,193,792,633,287,365,121,018,113,481,658,
032,979,530,835,496,848,695,723,577,470,151,141,156,559,031,607,179,819,811,
468,650,796,133,847,816,544,973,138,686,331,281,420,534,892,460,858,119,286,
570,138,815,634,289,231,760,558,845,758,883,844,101,734,670,625,653,237,222,
948,814,980,882,031,507,430,415,248,789,497,792,748,633,878,155,648,324,141,
911,796,523,687,791,819,374,455,401,183,433,565,226,707,047,585,850,292,905,
725,742,890,396,074,550,711,526,442,937,008,400,323,091,993,834,279,790,474,
712,975,727,303,711,505,480,605,164,982,834,516,840,056,765,170,168,822,528,
285,566,356,541,227,595,387,695,858,147,616,004,122,691,821,487,437,583,967,
344,091,682,232,849,029,443,797,494,292,330,110,264,770,669,520,067,796,198,
607,945,627,244,826,525,601,063,642,492,949,872,330,703,663,793,099,111,769,
023,521,712,030,911,583,414,614,050,736,798,469,478,016,251,188,079,398,854,
704,902,184,873,002,476,470,281,593,830,181,572,260,628,938,466,970,538,258,
241,188,094,142,556,802,954,960,383,787,908,854,010,493,267,391,621,823,771,
733,103,852,039,925,882,825,253,386,420,525,168,127,250,286,666,856,626,869,
312,110,446,095,982,979,228,939,575,779,398,529,843,031,290,243,958,594,068,
868,648,845,277,382,105,625,829,279,643,823,507,808,102,072,367,412,204,861,
569,057,317,829,245,456,072,794,334,878,455,335,587,786,124,035,943,023,430,
920,744,110,683,400,979,447,055,938,034,382,239,160,257,069,117,473,329,363,
688,411,001,876,943,324,393,420,544,678,081,539,510,391,859,226,410,043,573,
404,755,715,995,701,061,432,511,043,696,283,220,549,226,632,655,815,165,326,
182,184,613,083,701,358,068,348,870,955,388,288,821,810,032,334,237,711,619,
146,657,739,077,870,932,283,772,407,270,849,357,302,505,826,786,743,717,051,
773,731,394,296,116,283,272,381,438,652,384,536,311,285,411,198,468,682,718,
203,937,692,174,821,398,104,502,004,821,683,960,146,055,299,205,286,374,543,
577,798,018,141,212,898,603,696,570,894,269,469,927,644,401,908,511,305,323,
373,453,962,532,441,554,669,242,542,201,298,066,773,982,087,825,152,879,467,
273,505,932,385,074,980,665,807,398,287,033,391,427,552,787,228,074,870,779,
133,190,273,486,663,827,926,575,577,730,582,406,560,125,737,078,019,562,382,
676,830,351,987,849,363,399,192,636,452,844,433,853,505,095,324,456,014,178,
098,393,465,454,095,918,481,128,976,909,477,049,942,566,503,413,991,151,860,
890,267,654,158,386,401,173,921,247,837,001,338,364,002,228,145,998,597,386,
325,433,316,759,959,308,134,210,266,289,001,624,478,434,867,096,595,469,772,
222,580,490,482,672,611,998,018,116,038,819,906,763,478,252,180,389,590,900,
432,806,470,184,602,115,406,290,836,399,426,683,687,344,265,492,026,973,958,
951,625,556,980,225,032,322,795,329,545,742,892,654,575,572,990,401,280,683,
281,218,203,824,316,938,184,371,663,293,270,544,779,133,365,405,311,231,937,
171,049,842,114,035,054,910,773,416,453,294,905,929,802,153,433,426,478,996,
003,377,078,093,624,206,601,691,586,735,859,497,503,162,042,981,397,658,259,
962,524,947,937,788,963,402,648,504,729,573,026,495,245,482,456,322,233,223,
889,346,724,625,194,108,102,084,356,639,344,788,340,062,114,526,979,316,780,
527,964,074,808,484,594,752,490,402,094,527,769,204,898,653,899,805,102,635,
317,081,696,101,305,224,552,223,699,740,839,841,909,255,789,734,367,627,642,
231,379,697,151,858,551,363,808,876,300,311,909,009,302,229,943,523,260,237,
870,142,729,200,907,546,443,729,412,574,674,704,555,311,261,185,696,139,270,
328,463,159,443,216,262,401,609,528,565,003,830,648,282,725,101,094,047,777,
166,276,997,193,754,474,509,982,696,963,380,651,656,070,118,328,860,075,463,
924,644,388,916,303,745,781,867,700,569,896,336,599,215,659,215,167,415,772,
079,797,418,912,193,542,654,929,226,206,153,509,099,455,576,749,701,292,608,
710,529,054,607,623,758,898,646,221,278,669,432,356,602,743,841,768,931,894,
319,982,804,868,978,674,773,422,223,026,865,724,547,194,854,211,786,048,476,
845,582,724,393,830,406,443,036,493,471,469,811,280,590,594,651,066,946,170,
785,311,266,509,212,733,731,695,529,429,411,439,868,104,553,263,559,630,489,
407,260,678,348,666,294,831,303,624,451,441,688,923,932,289,848,168,467,531,
137,765,975,065,965,491,958,990,078,979,694,538,924,353,095,596,396,072,152,
568,838,337,594,961,701,542,651,320,503,838,594,815,625,415,843,852,112,123,
074,749,875,844,697,914,373,955,381,666,534,016,185,386,836,442,046,505,518,
597,479,196,882,553,297,196,656,286,903,152,335,248,504,218,332,137,584,879,
711,158,520,340,197,737,308,940,654,054,206,070,660,070,567,713,194,959,362,
312,973,027,825,862,651,516,184,601,033,161,598,379,009,121,482,023,114,927,
290,357,483,524,799,965,599,089,764,857,966,299,420,134,142,901,159,968,139,
074,503,918,630,902,168,366,573,684,801,383,583,095,830,742,904,639,247,808,
561,656,114,378,636,737,859,125,987,944,573,834,585,327,484,096,124,863,364,
505,017,612,414,502,327,857,770,383,243,383,353,625,811,508,657,190,372,633,
128,650,675,207,077,223,635,892,628,089,439,935,765,648,540,506,696,136,197,
497,066,091,729,138,008,412,804,441,753,415,132,858,319,788,548,306,664,973,
846,810,134,006,065,377,665,817,194,002,268,243,318,036,549,367,661,197,545,
074,321,353,703,508,967,734,378,333,515,358,554,818,229,438,387,137,534,569,
899,186,439,020,115,672,706,470,175,339,505,112,428,038,361,353,354,266,233,
128,158,839,202,713,303,235,918,816,917,581,146,441,844,917,658,071,653,613,
692,281,143,582,511,679,486,708,066,486,746,175,119,329,003,589,906,948,952,
175,979,885,913,880,848,214,816,545,495,889,668,125,953,792,492,078,056,279,
887,299,396,156,661,120,358,560,510,532,542,625,890,379,080,306,428,321,308,
139,012,093,243,200,566,398,739,500,895,797,415,447,037,642,152,299,734,778,
134,157,289,270,939,334,290,743,340,195,180,425,892,331,900,235,963,543,266,
710,879,090,328,794,640,531,218,671,015,284,379,303,585,460,280,218,594,868,
776,912,629,990,048,790,904,735,687,929,329,212,839,404,865,055,550,271,427,
403,231,168,156,833,551,652,848,096,821,814,214,227,496,888,831,190,526,073,
543,934,956,347,230,790,948,404,854,440,732,362,479,246,223,585,341,739,574,
490,045,856,182,621,989,054,892,582,086,108,004,737,926,317,273,812,627,172,
558,543,586,266,172,123,321,973,822,140,927,389,636,528,162,484,340,283,193,
675,588,708,663,554,429,921,757,329,360,561,544,446,440,841,100,062,570,025,
935,523,084,639,823,921,211,696,802,342,240,279,067,866,811,081,350,022,585,
719,180,477,893,515,904,491,968,700,643,351,843,203,971,833,895,877,498,716,
677,101,371,458,219,260,750,550,722,937,773,432,384,182,593,456,876,524,051,
322,765,256,431,882,272,289,077,240,257,364,324,375,614,421,365,403,119,447,
161,239,506,454,050,030,497,693,115,368,342,623,579,239,347,947,868,568,931,
905,102,353,321,360,635,737,795,327,139,107,804,231,825,288,717,254,247,201,
065,367,160,739,574,716,932,990,292,494,652,136,328,101,926,164,741,836,197,
294,554,985,106,384,574,666,223,285,473,547,559,587,774,570,595,939,378,906,
186,392,839,045,006,805,634,518,757,451,325,258,111,162,307,782,395,469,104,
733,261,207,376,499,485,938,974,289,418,898,510,859,325,214,419,323,600,197,
704,987,406,163,083,728,860,834,548,436,102,448,305,455,210,408,411,835,184,
663,755,665,853,383,040,332,922,045,961,551,135,789,549,778,717,456,376,911,
629,754,716,967,585,923,300,158,518,438,831,753,640,496,285,652,752,307,877,
944,429,334,404,231,910,158,222,760,858,708,969,683,325,077,709,821,728,073,
386,621,367,634,198,691,869,598,737,522,099,090,104,267,499,313,126,172,918,
369,316,217,952,401,357,647,164,440,114,802,463,780,685,495,782,820,850,462,
181,019,010,629,518,084,021,994,866,860,256,616,990,626,682,582,791,359,705,
543,770,752,134,403,877,703,760,926,008,918,523,375,042,201,680,533,776,908,
325,090,510,200,645,559,911,325,568,068,765,441,053,191,882,446,079,017,081,
684,851,810,702,651,117,968,304,705,010,109,919,522,509,729,865,908,002,507,
535,055,118,467,481,884,365,589,506,064,033,501,623,042,537,200,529,018,863,
777,145,831,321,402,956,519,664,028,969,939,783,759,926,291,429,205,964,469,
313,708,285,168,472,973,087,458,117,975,735,305,207,192,449,511,443,445,991,
930,377,904,013,033,886,183,112,159,521,966,472,029,615,870,379,700,164,453,
936,862,699,952,420,981,075,000,632,923,636,098,687,407,678,732,854,078,625,
428,697,980,732,811,349,485,120,810,688,896,201,592,219,293,870,693,912,080,
885,546,485,815,910,463,507,153,728,160,082,773,886,492,705,139,392,487,920,
779,650,342,632,535,728,576,563,103,124,463,884,901,162,633,224,228,918,037,
929,717,476,496,618,487,202,181,589,721,508,224,682,374,404,139,117,607,557,
677,804,931,050,221,687,373,705,619,595,607,870,973,332,572,134,597,090,229,
975,523,950,148,482,029,075,169,153,745,088,391,850,807,921,376,612,075,928,
791,978,029,898,962,797,379,426,807,994,696,574,135,135,993,533,058,340,075,
991,538,249,611,289,464,199,200,231,108,437,085,743,918,324,481,903,848,494,
127,687,441,216,593,795,261,970,427,325,296,462,336,424,703,868,747,776,565,
347,001,697,737,377,981,859,606,857,676,262,971,602,867,826,389,949,160,288,
831,373,550,634,464,822,782,532,463,131,173,073,933,954,222,149,569,665,632,
305,542,384,432,729,551,603,850,306,560,599,602,546,094,062,547,744,003,769,
431,120,505,094,026,151,811,835,214,147,375,116,701,290,587,156,844,477,374,
165,806,850,442,569,692,143,498,556,602,254,935,839,290,403,904,374,377,888,
112,554,696,160,014,390,336,517,856,719,734,078,561,887,625,574,691,710,407,
206,217,891,184,525,199,026,060,670,980,482,769,790,301,846,962,303,928,300,
921,201,497,798,457,183,199,151,229,512,042,045,036,624,992,930,265,432,155,
680,569,412,396,787,001,884,728,164,541,977,598,382,533,120,727,224,362,630,
327,917,931,283,841,923,430,486,286,969,898,619,858,562,088,875,426,236,009,
578,373,947,219,144,185,801,400,250,735,133,234,840,859,572,078,189,471,943,
035,615,881,781,275,138,261,630,233,126,079,230,986,225,218,947,729,504,719,
302,422,032,066,980,848,739,833,352,936,312,095,398,823,677,392,800,040,845,
844,822,199,565,509,888,371,460,489,209,251,219,614,998,892,103,582,638,749,
193,515,009,861,834,804,455,077,143,008,564,964,658,092,955,961,572,923,733,
291,021,743,564,075,927,800,806,095,964,490,743,176,805,598,413,226,609,030,
772,207,726,070,139,659,444,231,203,530,962,244,585,578,522,923,256,817,616,
214,384,847,840,179,714,377,634,536,523,023,089,424,054,331,531,524,721,490,
427,650,358,928,166,097,756,990,702,260,186,641,844,495,961,388,382,759,392,
824,192,847,259,324,769,739,688,459,874,500,581,258,646,446,374,079,802,727,
234,171,451,872,970,909,136,578,139,260,156,994,324,149,851,480,527,611,140,
353,820,359,440,523,339,075,539,573,137,131,375,873,501,378,835,102,912,385,
234,708,525,848,786,176,413,439,780,548,325,842,678,253,859,348,929,573,328,
421,441,765,117,924,550,037,218,291,159,755,303,966,057,608,665,382,011,798,
747,369,272,068,076,075,777,029,935,858,303,100,485,307,646,745,753,757,793,
792,265,707,316,483,341,682,513,468,159,433,290,817,131,855,859,339,649,530,
931,715,346,959,062,091,395,941,670,447,043,349,223,111,648,251,511,090,051,
979,541,552,476,949,142,282,211,905,948,625,947,850,465,827,675,872,198,784,
683,711,147,443,597,375,379,126,367,576,821,733,467,535,098,611,993,545,862,
114,387,578,532,542,472,314,011,985,681,281,746,090,256,382,950,182,890,113,
626,956,090,236,487,677,089,149,944,884,739,330,682,940,642,430,853,692,822,
467,070,571,948,570,491,310,618,722,998,599,015,569,999,656,213,895,100,093,
882,035,804,584,427,309,888,557,218,647,981,365,573,563,944,627,338,303,895,
288,543,679,213,146,845,837,413,455,196,203,781,662,602,192,297,353,863,847,
748,599,051,393,146,465,667,340,889,090,586,643,864,476,857,799,531,390,759,
513,949,204,547,137,325,376,473,454,191,955,195,851,195,172,078,975,656,158,
335,566,746,006,350,456,595,211,077,330,975,020,304,257,746,546,378,682,759,
045,757,137,869,426,016,411,471,312,015,907,486,757,380,012,876,820,552,643,
569,820,919,260,405,923,858,893,913,206,092,340,308,292,884,250,257,676,938,
469,159,512,850,289,486,321,612,414,175,847,694,254,723,552,418,094,780,638,
687,103,585,023,541,791,740,991,475,797,613,779,861,603,388,529,069,179,853,
222,092,443,833,336,141,929,994,664,282,844,197,250,758,152,394,634,762,676,
516,239,998,330,855,277,359,055,327,245,112,071,215,681,562,373,890,607,513,
904,655,709,578,218,679,233,145,405,117,153,049,011,182,243,561,917,201,644,
738,278,795,853,785,720,250,281,011,436,005,426,560,196,409,935,975,209,132,
260,057,226,200,121,946,531,626,754,311,272,669,706,554,852,568,344,499,194,
050,210,667,953,298,323,730,810,276,574,495,619,732,341,648,808,968,709,484,
594,933,349,055,193,899,990,820,239,208,390,939,499,588,212,149,194,692,159,
789,094,950,403,444,573,764,379,362,056,349,718,406,770,498,036,796,832,604,
517,456,080,984,374,392,032,395,210,000,534,814,075,473,026,607,246,303,515,
404,925,354,386,055,186,024,980,958,509,549,678,456,210,510,787,419,504,937,
023,425,965,690,473,546,551,622,961,509,861,076,467,003,845,825,765,426,993,
042,001,443,965,571,877,421,399,846,774,501,476,256,524,460,632,909,528,581,
138,512,193,080,450,421,474,508,447,957,475,292,960,496,092,718,192,293,982,
287,514,199,969,453,963,271,713,548,668,941,570,965,019,863,915,264,308,175,
453,977,118,654,347,875,975,699,525,866,531,674,198,168,881,870,210,594,034,
496,147,246,013,982,933,096,433,602,273,421,380,245,410,593,594,946,533,621,
308,468,663,856,969,581,152,256,128,713,809,474,266,458,331,851,284,857,651,
985,211,115,928,859,030,550,639,315,827,202,328,776,883,542,474,832,397,863,
556,147,988,872,864,561,571,626,789,076,870,180,432,378,239,041,684,585,846,
060,045,394,177,522,661,284,601,529,583,011,030,996,365,665,749,268,849,380,
382,617,333,423,262,632,871,175,269,176,569,724,065,194,501,348,378,480,373,
788,522,764,528,178,481,746,934,810,534,742,495,109,086,003,429,837,030,518,
230,387,729,988,327,665,092,082,268,636,554,602,244,747,674,317,944,526,479,
282,496,687,493,915,146,789,413,409,904,580,903,893,681,894,422,546,279,425,
827,086,680,385,387,524,283,032,780,576,297,825,012,803,298,933,809,929,602,
982,395,615,872,967,440,862,328,091,565,936,685,955,588,149,609,107,443,861,
861,492,648,316,224,328,350,203,759,349,732,527,199,181,888,004,472,310,495,
689,828,326,823,263,923,218,534,095,035,717,279,839,762,671,423,407,325,784,
825,055,777,974,106,446,262,899,961,382,752,590,665,459,683,473,887,940,768,
895,018,046,264,014,906,422,624,899,017,595,172,025,144,053,909,650,286,056,
341,201,133,923,789,679,634,291,461,530,701,940,248,413,247,153,216,362,670,
900,062,949,551,832,830,540,987,052,186,606,899,856,668,857,706,460,561,088,
422,390,243,371,466,927,079,167,864,980,937,456,558,246,198,324,251,977,181,
609,702,499,059,680,183,053,023,295,605,992,149,132,957,252,127,663,717,362,
407,220,617,286,288,093,148,130,153,106,171,128,200,203,378,612,446,653,210,
731,446,553,817,936,009,078,484,698,686,583,249,456,813,865,640,903,356,584,
166,543,720,836,821,069,153,644,238,912,929,192,332,561,696,466,806,707,184,
995,219,491,454,846,061,613,083,213,669,914,057,104,994,863,192,031,798,442,
053,804,675,272,961,588,149,468,418,031,439,300,982,701,970,191,314,325,495,
820,805,024,213,654,089,130,069,401,959,355,559,380,345,343,130,609,294,197,
933,683,688,644,372,338,624,354,379,730,405,526,506,002,693,043,211,468,515,
725,984,797,923,460,360,588,373,735,483,037,227,323,996,060,670,553,353,827,
174,993,152,813,391,237,116,596,621,619,295,643,000,955,832,382,955,325,833,
558,918,682,310,102,957,052,115,455,755,423,456,778,083,741,636,019,773,177,
193,497,675,993,879,612,634,439,348,928,249,458,193,908,759,905,383,989,426,
415,248,370,587,723,332,593,083,225,429,166,253,286,208,754,817,218,525,333,
732,229,629,393,230,754,308,872,232,050,141,973,906,744,952,826,261,308,189,
825,166,835,520,231,151,290,802,734,556,885,523,037,460,942,767,056,830,660,
213,720,820,714,527,734,245,571,971,253,883,732,673,826,893,603,444,133,762,
334,757,282,428,886,074,977,077,353,581,680,005,673,925,118,863,450,570,031,
890,155,621,706,579,280,941,406,303,199,781,795,968,135,306,679,740,768,477,
092,192,247,890,369,687,307,113,602,624,278,888,869,750,709,749,798,716,961,
713,915,215,668,485,919,884,026,005,101,461,552,296,640,443,720,118,822,822,
809,939,209,688,439,643,375,618,750,458,822,831,230,313,596,623,244,068,485,
490,578,009,656,800,780,118,486,272,802,777,796,892,670,230,372,502,446,214,
399,532,758,120,751,032,279,375,967,103,959,809,070,344,366,534,158,156,918,
706,835,275,051,763,101,511,655,544,245,711,021,546,762,313,751,392,476,624,
034,386,458,143,079,327,455,770,910,389,995,029,179,604,188,857,684,419,686,
982,276,162,603,534,309,164,406,573,904,056,342,931,388,194,886,755,499,835,
101,475,376,342,950,629,848,370,815,130,458,217,595,732,575,934,196,573,164,
098,383,773,271,556,193,892,816,220,587,622,076,639,503,282,310,734,815,009,
171,299,510,705,920,072,340,252,627,894,522,342,302,839,460,503,489,300,047,
914,524,666,279,016,580,064,438,234,397,054,151,397,180,280,794,078,735,029,
354,487,557,557,389,221,994,493,393,942,723,659,291,990,759,855,497,592,172,
789,573,198,318,339,025,271,117,848,025,495,922,427,145,018,593,274,073,520,
934,635,997,369,387,471,615,483,646,937,698,441,830,657,879,610,333,362,869,
309,877,022,155,423,219,942,496,928,469,330,443,326,325,572,616,657,420,803,
301,253,120,576,917,608,201,211,368,737,617,679,755,509,752,972,485,885,621,
339,082,347,975,814,372,493,554,778,967,744,815,686,237,100,279,966,035,968,
296,171,231,475,225,575,616,967,592,753,552,224,794,067,944,418,549,390,331,
533,358,633,792,500,079,659,740,540,164,226,102,797,404,421,135,268,124,079,
309,551,323,770,063,695,254,863,484,647,766,868,890,590,670,172,283,459,492,
255,848,955,520,805,520,190,255,655,573,356,670,566,718,682,919,451,818,890,
138,374,704,230,602,393,974,930,245,497,429,000,258,352,655,462,168,686,840,
034,667,609,673,850,388,721,766,880,270,347,654,238,698,409,842,609,925,153,
191,145,145,012,833,324,109,611,494,439,241,633,002,202,777,467,402,806,646,
986,702,950,394,348,758,499,228,179,797,196,302,401,814,847,966,755,918,389,
580,858,075,800,467,085,421,176,603,639,885,020,311,508,694,244,761,058,902,
162,132,199,133,273,125,892,938,052,472,176,173,195,897,782,878,402,702,898,
993,620,352,161,023,739,697,863,374,449,738,549,906,239,670,775,051,262,747,
666,227,822,059,975,025,030,646,517,931,601,353,492,531,821,399,885,431,051,
210,084,224,956,604,207,025,538,659,096,424,045,477,534,734,828,394,355,377,
479,691,830,528,139,311,389,591,910,780,364,314,825,981,658,089,501,969,433,
508,852,911,145,359,213,796,837,905,349,037,064,237,672,786,294,796,337,339,
380,404,733,816,385,398,188,790,187,166,472,482,252,093,323,103,522,792,584,
632,953,136,103,958,032,760,993,091,611,957,084,077,014,644,589,015,905,574,
081,542,088,571,827,943,631,718,025,499,959,469,432,837,923,395,264,639,549,
429,747,871,096,285,106,197,618,756,035,571,960,864,819,255,884,049,435,997,
929,819,763,361,229,952,317,659,643,076,049,084,801,757,803,106,230,518,086,
268,190,408,828,230,807,408,666,826,341,124,570,880,911,189,860,591,929,315,
923,583,612,049,562,094,254,583,453,167,306,888,137,398,884,773,035,964,074,
345,091,996,544,414,183,250,668,082,379,750,486,401,976,355,244,694,602,285,
184,607,646,117,297,662,822,583,625,957,127,771,082,875,608,797,299,024,395,
464,867,611,683,094,330,813,818,540,438,811,850,185,086,601,428,714,837,048,
472,425,776,245,442,564,115,661,360,655,280,541,721,628,653,941,031,581,838,
733,459,214,391,441,860,028,676,330,645,315,146,297,907,771,191,300,592,694,
841,444,505,038,212,206,909,835,091,313,858,429,944,000,132,769,094,118,983,
592,701,928,553,072,332,831,609,223,516,299,042,643,816,625,266,360,269,211,
968,434,605,326,917,115,394,292,150,084,597,731,755,779,348,835,902,289,019,
458,043,605,603,872,566,647,661,935,911,607,337,544,238,068,894,846,972,171,
837,168,726,124,825,813,394,941,156,486,719,435,788,216,306,448,375,028,434,
140,655,493,201,543,741,022,753,831,880,388,560,190,280,426,756,412,480,299,
662,062,624,626,030,176,145,539,299,319,555,800,120,121,611,131,998,614,678,
088,649,256,366,693,019,898,786,767,966,763,884,792,255,736,339,135,802,685,
060,431,127,736,081,763,299,078,527,402,062,591,212,152,518,429,010,804,571,
797,506,572,513,657,123,215,248,415,274,117,200,060,270,377,383,085,904,197,
406,599,805,277,603,271,405,662,832,969,431,703,803,675,114,964,513,898,615,
542,194,345,497,405,198,371,674,949,278,128,385,057,934,107,130,494,432,165,
269,955,614,809,020,199,826,965,337,588,873,176,496,379,623,545,785,366,109,
406,450,331,856,358,754,130,138,766,893,592,219,077,839,229,614,870,498,613,
587,992,630,684,760,656,220,465,670,303,424,553,020,311,496,088,094,471,694,
517,896,795,780,423,053,729,396,714,187,761,163,267,892,123,180,896,725,017,
276,776,600,052,212,933,746,430,569,487,024,507,144,076,706,860,467,986,102,
709,707,862,708,508,586,719,459,631,339,729,723,033,166,319,727,369,894,547,
462,409,558,812,173,225,171,407,842,795,815,811,137,325,147,191,016,676,949,
746,912,177,193,399,913,319,193,427,032,119,930,942,614,102,821,665,960,107,
296,437,077,431,523,676,405,736,219,957,986,652,669,053,336,208,626,648,745,
051,588,260,158,423,571,699,533,843,048,115,070,027,842,500,516,831,461,523,
362,871,772,050,909,785,350,128,953,659,488,328,835,824,655,957,784,928,278,
147,178,989,158,059,717,159,505,597,582,243,720,616,942,056,700,565,562,570,
632,207,498,391,751,252,059,595,648,695,438,785,793,102,368,173,135,565,206,
279,634,416,476,914,838,810,796,802,544,619,307,048,246,225,723,429,104,978,
482,456,717,355,903,194,442,107,643,925,196,139,566,251,402,426,718,160,730,
195,440,279,506,417,309,950,748,020,270,920,648,160,911,624,956,207,766,762,
618,092,079,695,200,574,833,525,485,077,958,282,874,696,270,387,956,036,897,
488,944,883,925,247,544,171,917,978,767,582,379,129,780,467,729,646,810,366,
862,296,569,292,295,530,400,778,541,345,239,064,242,023,941,789,400,484,188,
337,763,443,257,728,190,154,744,365,900,990,449,669,299,476,118,782,036,852,
885,224,165,418,079,560,488,309,618,045,610,763,172,690,584,818,776,586,968,
447,018,696,202,861,721,936,403,770,475,360,782,315,320,468,047,025,745,731,
014,001,225,575,813,733,024,618,102,600,666,360,648,242,103,987,948,614,550,
657,261,805,498,216,227,730,336,781,898,163,486,265,356,676,094,907,622,908,
595,041,759,655,710,313,553,784,284,463,326,853,095,510,336,399,410,151,295,
007,198,871,277,580,918,142,545,649,040,255,128,302,594,226,837,173,095,577,
284,324,086,506,447,339,724,886,631,081,482,475,855,378,547,331,616,667,958,
150,722,956,723,139,616,558,228,830,598,306,094,686,343,142,812,706,235,893,
935,952,341,528,449,104,959,492,172,064,261,223,608,747,012,318,564,190,283,
390,332,035,782,700,129,843,418,556,407,651,064,387,209,919,691,373,056,653,
771,736,705,381,903,433,134,366,176,107,796,442,311,043,596,698,148,755,288,
316,050,541,532,597,240,403,668,022,435,928,560,692,808,065,155,919,092,200,
131,739,022,975,207,315,187,428,459,326,801,833,382,855,057,667,295,946,406,
516,578,205,525,693,660,813,643,305,984,818,965,403,420,301,405,057,308,419,
433,964,009,205,762,051,106,896,967,626,675,774,600,198,570,322,107,697,709,
551,265,238,668,008,870,794,152,903,275,430,036,436,091,868,584,446,742,091,
832,704,010,627,682,595,293,562,409,972,102,473,420,654,907,604,790,379,315,
061,899,255,165,689,316,823,066,605,702,325,489,205,856,050,226,972,880,656,
373,776,274,850,863,456,878,579,738,643,490,590,204,619,490,357,236,709,992,
195,144,631,467,121,577,894,787,453,567,334,860,821,833,277,328,179,847,534,
681,969,131,259,751,419,303,406,203,654,556,920,965,098,228,661,228,613,278,
175,656,916,208,698,421,446,262,948,564,728,606,706,223,248,177,705,453,745,
789,348,491,293,148,460,531,198,232,258,054,866,755,302,306,058,649,098,325,
936,405,902,666,876,476,450,189,233,795,915,699,312,841,429,573,940,126,302,
823,218,220,340,555,973,986,970,531,895,170,174,792,890,256,411,427,658,925,
295,792,197,524,925,194,332,924,603,102,289,364,452,247,633,585,460,923,643,
553,184,801,915,856,741,458,613,312,963,604,277,213,182,213,026,660,877,374,
918,348,709,208,427,603,338,494,551,851,552,110,868,154,664,534,485,043,001,
992,564,746,131,870,251,268,309,630,834,293,088,981,270,549,803,881,629,958,
248,874,721,275,427,555,341,438,319,421,834,191,698,437,939,780,846,949,249,
267,209,056,111,042,323,959,052,718,527,997,775,120,845,208,399,581,811,838,
419,220,481,234,529,811,708,925,337,291,426,442,921,664,337,592,046,707,704,
523,716,882,049,947,712,331,350,958,038,511,372,431,125,801,755,961,180,589,
448,112,242,059,631,494,939,511,278,046,361,762,136,241,286,636,695,519,802,
695,667,385,256,668,838,067,384,652,447,616,456,647,265,572,056,306,181,730,
848,421,141,373,789,175,583,498,186,686,403,209,825,025,911,780,863,192,083,
452,208,077,302,216,738,740,722,048,652,008,216,920,213,455,901,241,589,342,
686,423,855,463,835,684,159,951,968,315,275,136,041,752,252,334,013,328,833,
171,974,162,069,020,795,901,054,475,339,372,059,462,143,399,717,685,029,221,
118,500,682,226,322,905,565,617,518,315,497,172,566,153,604,616,415,826,716,
996,856,069,234,536,453,940,896,525,834,264,478,569,403,305,177,700,178,910,
945,078,784,777,942,193,348,057,233,544,824,639,376,405,247,348,675,399,483,
972,241,500,937,169,864,868,376,752,048,432,307,400,570,945,070,239,470,728,
745,294,348,173,945,343,906,747,998,444,573,212,090,378,697,948,458,997,093,
597,605,374,372,921,081,222,756,865,402,874,609,588,573,887,009,051,975,419,
803,789,799,372,038,017,447,186,111,939,514,535,477,336,655,880,009,429,639,
976,639,226,953,047,641,588,323,774,002,396,840,603,896,737,948,466,120,424,
176,020,431,040,077,471,864,946,008,376,127,660,641,215,113,057,934,532,225,
046,488,343,929,350,322,474,469,703,962,777,572,578,718,076,302,635,931,003,
539,672,391,534,231,033,163,786,423,639,827,414,213,606,381,313,882,591,936,
609,668,733,178,832,351,053,721,887,912,478,938,852,967,302,164,550,318,789,
860,248,571,869,319,983,289,895,181,291,551,432,906,235,918,890,221,575,131,
759,138,961,164,814,342,495,570,321,620,075,555,192,705,989,517,304,269,571,
103,461,609,687,504,652,136,002,676,461,180,331,072,368,617,226,813,424,090,
368,174,721,009,971,020,593,422,619,521,562,189,992,184,451,607,674,875,536,
848,395,975,952,570,698,145,485,749,574,263,624,854,409,271,573,886,860,933,
794,592,754,456,277,282,658,513,193,447,544,583,217,754,437,040,624,977,842,
237,792,828,455,851,578,641,481,313,315,404,708,682,875,838,460,199,023,225,
386,774,872,516,619,696,441,176,140,029,925,185,177,468,515,108,245,292,074,
648,287,033,398,902,393,894,174,405,727,285,817,693,271,725,418,281,629,702,
153,387,566,835,204,368,960,796,455,219,079,242,664,584,464,527,921,419,572,
477,132,292,334,691,606,800,304,675,668,054,991,311,086,739,526,036,764,078,
618,846,870,602,328,784,579,115,981,291,495,645,676,019,702,600,023,532,061,
090,796,590,376,360,802,227,947,742,000,000,119,999,117,332,402,244,796,537,
199,402,023,199,097,662,189,621,235,241,766,970,980,407,539,385,310,481,566,
965,891,434,486,280,928,313,398,991,882,993,092,474,854,601,567,375,652,023,
617,914,688,150,203,560,990,212,888,025,642,605,509,214,080,413,049,574,586,
848,710,215,349,745,279,414,678,919,327,040,269,587,812,179,424,257,814,009,
334,772,190,413,098,174,261,186,028,368,380,762,637,958,404,631,235,831,111,
571,024,197,460,865,415,593,861,894,560,817,131,934,937,282,318,950,796,427,
212,779,704,817,817,787,192,281,624,933,921,564,909,984,260,060,378,828,950,
648,898,490,811,455,876,118,711,104,390,233,968,610,661,339,431,474,069,535,
262,514,397,650,911,889,420,147,967,057,163,784,541,252,703,419,186,097,960,
632,728,708,163,745,751,760,018,402,375,738,554,199,157,536,874,765,493,666,
813,704,955,851,981,043,296,658,424,196,166,148,837,694,040,668,142,101,235,
651,363,066,160,226,225,292,847,522,029,117,195,300,501,346,524,746,534,812,
025,193,997,866,978,278,687,011,169,503,437,601,682,706,915,384,237,604,845,
825,460,598,551,446,411,306,198,323,602,594,115,105,145,714,664,802,072,091,
297,256,244,080,791,537,193,866,578,920,962,840,718,997,085,795,168,163,723,
993,176,464,813,574,775,463,567,005,731,141,241,204,458,596,105,908,688,976,
328,519,590,342,488,510,180,687,750,475,175,454,972,191,201,611,148,915,962,
357,563,200,263,829,218,640,912,577,067,072,451,888,885,491,283,527,053,045,
610,883,998,690,966,867,337,183,991,421,008,890,603,708,131,832,020,059,615,
675,808,811,206,672,695,783,106,852,481,967,913,065,781,294,830,107,091,011,
386,313,027,106,317,636,168,175,505,563,958,286,722,623,383,019,176,741,670,
408,440,378,058,188,952,967,914,060,227,537,579,210,960,214,368,297,308,325,
699,167,770,384,769,778,204,011,612,427,708,015,427,474,352,558,916,598,339,
082,184,114,211,713,149,931,413,722,440,772,413,665,811,113,477,010,138,224,
490,805,562,957,528,160,158,862,910,215,947,268,046,482,056,501,814,612,974,
972,216,369,599,771,885,315,368,828,960,950,534,236,266,321,652,630,148,043,
274,314,047,268,266,047,151,997,541,663,687,355,129,329,948,219,605,910,222,
920,989,853,332,228,073,489,752,745,757,909,961,016,572,077,289,294,851,626,
755,391,983,708,279,057,033,305,293,691,394,895,920,370,217,847,637,253,555,
589,255,763,550,075,506,359,712,962,447,101,700,807,434,832,190,192,053,510,
915,246,020,662,387,561,562,746,332,964,402,143,695,167,229,934,848,468,726,
608,044,599,179,055,391,492,510,162,504,455,416,930,765,361,726,064,400,883,
312,847,268,924,517,939,259,063,196,670,924,307,985,828,615,405,441,701,143,
965,513,090,899,473,217,661,141,084,920,343,025,377,721,356,521,756,536,892,
789,057,554,454,624,803,885,202,200,884,877,912,776,865,389,536,967,418,301,
977,631,014,371,741,306,278,994,078,177,496,040,050,661,137,882,872,284,963,
000,004,751,766,311,218,099,887,876,716,695,535,623,050,729,305,573,557,169,
095,458,473,545,017,817,863,148,160,785,680,081,369,683,962,176,368,064,309,
338,193,996,112,743,945,425,525,335,240,213,789,925,990,894,724,824,398,272,
468,125,121,789,547,975,563,676,212,762,156,444,234,542,927,737,350,680,500,
462,040,166,910,294,556,339,333,821,057,340,410,170,895,216,891,870,061,865,
817,073,767,919,817,271,382,561,909,615,990,115,590,803,879,205,063,994,481,
160,880,114,426,984,666,145,993,416,593,766,316,491,969,621,477,135,955,633,
082,369,647,687,390,953,017,077,461,137,801,196,979,124,416,783,568,231,666,
542,350,229,377,470,337,857,157,990,857,851,271,058,767,461,037,796,801,589,
646,783,601,840,008,482,734,753,344,837,035,267,459,018,202,998,502,031,811,
283,619,831,964,887,229,745,505,674,888,560,743,148,320,946,152,910,235,740,
168,878,756,150,530,312,451,122,941,375,914,381,469,275,917,495,387,311,540,
763,104,356,083,687,536,260,195,965,741,237,056,204,405,857,330,601,742,436,
900,872,095,200,811,794,965,272,794,715,736,374,441,262,883,283,706,662,949,
215,144,787,570,239,490,680,339,488,301,089,495,840,924,435,625,696,181,342,
552,087,112,174,863,576,671,044,023,620,389,678,424,470,740,624,834,663,629,
747,342,292,469,099,079,155,081,403,986,071,499,922,378,567,369,665,512,117,
112,466,171,994,735,229,634,814,026,927,954,947,883,557,661,864,120,706,192,
608,753,850,182,231,753,199,238,000,627,085,359,113,311,512,726,464,140,343,
636,589,732,603,923,604,698,651,055,542,500,747,524,031,967,124,329,445,172,
217,216,110,112,875,156,466,777,172,425,667,670,285,818,640,787,918,919,443,
972,617,616,037,558,229,445,822,286,886,567,829,390,714,382,165,616,563,128,
182,278,362,545,250,985,498,678,731,708,112,397,464,486,325,716,863,720,483,
699,539,282,557,117,544,927,347,846,536,805,334,681,316,664,374,918,660,394,
820,916,015,073,296,858,446,413,536,083,502,593,171,862,415,589,427,725,460,
546,196,548,506,191,928,342,910,139,308,155,079,574,183,361,634,038,995,711,
868,501,623,583,228,188,057,177,044,708,559,023,509,893,029,037,974,181,098,
833,384,648,102,294,836,000,276,781,966,253,852,598,949,092,967,361,834,656,
564,752,178,960,543,074,733,173,726,903,119,918,015,524,791,921,344,761,656,
901,730,492,468,691,115,830,023,146,756,979,323,607,472,258,977,930,974,395,
331,197,793,640,822,048,155,995,358,704,268,199,323,054,152,146,464,401,375,
499,559,162,324,579,609,071,224,536,148,741,284,462,536,052,771,086,537,508,
160,867,257,117,060,288,307,385,791,148,639,058,983,903,186,683,830,653,050,
735,061,487,230,417,899,919,599,445,125,753,975,915,077,784,392,991,829,002,
119,585,125,798,227,328,901,288,431,907,996,053,256,235,908,600,586,141,513,
761,089,044,868,138,705,579,811,188,962,713,917,239,188,826,482,014,894,309,
827,859,390,172,896,221,262,935,388,317,471,620,236,011,433,950,710,441,107,
311,805,769,583,002,623,836,104,393,464,031,798,405,082,823,848,663,475,052,
715,814,286,590,495,761,158,952,197,713,339,927,679,163,871,592,428,545,687,
525,855,259,589,888,535,151,752,039,463,852,415,731,228,002,457,729,103,985,
020,589,573,068,596,417,850,832,243,835,684,665,340,955,074,001,262,343,111,
006,743,065,840,407,287,806,248,523,861,533,888,105,409,445,698,842,992,584,
037,663,678,302,475,740,688,046,585,596,048,426,880,973,102,360,528,860,862,
064,457,566,481,922,725,854,567,713,943,072,642,789,886,884,334,863,682,752,
379,849,934,321,287,120,673,966,882,846,672,186,233,759,008,703,220,267,643,
941,622,992,082,267,324,806,578,232,633,822,550,824,390,028,101,349,824,564,
511,878,426,255,572,242,161,223,112,247,563,268,961,367,528,700,683,168,105,
795,707,670,705,602,192,008,906,158,897,082,113,835,835,113,003,723,457,346,
198,452,199,410,700,623,999,787,391,544,741,429,002,358,283,666,726,685,616,
763,366,269,839,958,553,804,239,595,306,601,846,306,458,527,854,469,288,426,
013,843,394,744,832,449,918,681,126,601,419,737,629,934,952,384,702,765,624,
806,375,660,727,073,458,641,743,941,891,831,818,015,606,576,631,948,260,958,
215,080,753,819,672,088,066,466,635,491,334,134,233,135,165,728,802,771,945,
125,039,435,143,015,473,317,074,559,706,892,348,696,100,689,688,817,016,751,
107,580,149,386,583,618,912,154,769,611,922,466,572,878,283,597,181,231,644,
709,984,474,874,735,688,860,506,992,359,100,549,249,138,432,003,905,028,641,
989,221,384,828,227,242,326,275,657,231,977,249,197,248,749,325,136,754,713,
723,655,582,437,182,383,891,604,008,540,991,850,847,811,590,598,068,865,602,
348,251,296,857,414,399,095,768,021,191,983,740,195,027,293,292,648,165,766,
759,688,062,656,259,318,054,284,675,742,821,963,748,345,821,386,719,083,786,
493,313,525,617,334,001,312,018,363,269,122,448,201,137,726,522,303,326,619,
594,725,801,383,937,372,733,811,057,218,596,955,884,237,431,567,985,348,823,
760,506,953,473,117,935,434,307,940,683,525,606,407,961,473,928,912,487,180,
338,609,959,081,627,594,066,328,494,094,024,525,750,813,631,412,700,737,955,
479,356,875,928,339,054,732,641,672,342,262,197,673,594,651,541,474,277,709,
029,184,439,036,391,166,387,652,721,376,686,107,581,589,289,700,099,244,544,
801,303,740,848,712,275,612,343,559,502,465,301,739,857,154,884,285,985,924,
385,933,918,816,999,948,906,697,067,679,561,023,660,318,630,711,850,973,839,
858,738,133,573,839,831,092,878,194,860,263,610,004,165,300,836,233,573,454,
085,076,705,794,906,154,869,078,021,450,669,686,106,026,907,916,079,839,882,
765,984,950,392,012,157,746,324,833,554,157,790,243,719,255,039,499,016,725,
484,360,533,910,486,414,743,865,000,557,712,960,818,636,098,642,977,631,883,
328,177,252,088,276,861,795,185,780,505,384,413,865,769,471,899,857,618,518,
764,736,392,746,586,321,373,568,271,252,587,902,457,227,282,914,432,543,819,
305,775,838,552,644,912,131,224,215,941,111,280,118,713,536,516,923,786,842,
250,322,269,284,539,921,456,599,260,538,539,636,365,109,474,388,406,058,983,
674,018,647,565,492,107,589,975,089,263,457,902,445,080,661,865,898,751,509,
657,842,936,598,309,816,778,871,317,024,364,735,272,557,128,737,543,869,351,
040,553,098,306,953,847,618,030,524,141,559,689,497,283,436,916,659,100,859,
595,131,377,383,998,969,344,896,739,092,221,179,892,005,593,338,558,209,179,
418,357,152,121,031,799,389,157,069,041,716,399,877,817,786,382,703,871,693,
007,636,536,259,154,708,106,461,971,205,523,907,215,457,816,431,772,878,359,
404,084,147,816,320,812,485,140,355,860,904,405,072,400,714,890,581,810,931,
265,029,906,467,253,822,812,435,064,132,513,406,355,217,002,509,872,690,948,
376,134,344,059,748,046,580,194,363,123,473,273,285,096,768,248,375,785,860,
086,823,027,729,782,098,705,282,926,991,718,167,161,127,287,115,412,551,810,
552,436,069,773,562,372,747,874,314,045,075,377,255,919,466,972,295,540,116,
617,879,207,733,074,356,864,092,878,850,366,325,433,476,312,279,049,972,392,
594,332,157,755,154,323,877,122,005,752,088,593,323,807,968,187,163,103,137,
655,036,432,628,835,431,407,279,931,748,495,006,200,714,423,630,228,296,198,
619,259,955,085,933,298,795,931,025,623,399,150,504,977,687,664,534,856,289,
293,084,999,813,445,875,113,821,303,660,468,894,384,154,498,739,858,724,909,
581,476,208,863,468,791,190,524,227,273,206,294,301,182,555,878,910,640,588,
894,610,666,647,330,938,381,088,336,041,569,361,919,836,372,017,561,715,448,
649,594,686,077,855,273,898,825,599,044,616,638,240,978,665,421,653,379,250,
086,767,600,925,179,432,025,216,560,214,952,768,518,064,150,104,038,955,474,
189,231,618,636,984,028,041,595,217,900,424,387,089,450,748,795,865,416,029,
944,339,965,906,339,831,962,245,873,585,855,912,416,995,496,656,597,054,038,
755,081,876,657,570,005,138,338,803,812,717,182,795,393,577,527,171,792,327,
945,574,927,723,663,863,621,220,904,148,370,362,377,245,722,192,456,641,063,
021,280,738,756,759,223,686,012,550,200,458,740,491,505,262,478,959,943,269,
265,002,764,297,837,392,205,586,528,047,380,450,062,997,064,529,535,352,025,
701,693,034,497,242,463,803,875,710,067,906,742,490,960,528,858,164,836,803,
111,199,213,593,294,752,353,518,887,304,472,247,458,378,662,251,531,020,930,
837,408,777,152,765,335,333,056,566,988,666,973,663,540,302,803,673,973,004,
195,917,345,887,177,270,794,883,253,598,788,372,733,187,004,934,281,884,206,
098,316,996,239,391,730,619,546,709,401,377,935,062,637,978,912,984,641,717,
708,293,661,412,898,519,672,813,165,008,667,891,456,213,667,578,353,407,546,
515,975,613,000,904,250,092,598,722,254,335,507,720,869,271,213,753,890,702,
808,159,769,623,495,065,504,216,397,772,459,515,241,857,452,509,983,083,875,
983,858,307,818,904,159,646,542,847,577,827,988,505,275,770,771,201,543,041,
850,349,799,504,515,323,715,117,162,395,426,497,382,037,643,532,919,071,901,
342,971,476,239,490,866,394,597,351,087,064,728,064,172,979,295,877,349,440,
633,630,280,872,003,212,132,825,296,913,451,158,934,348,181,871,621,124,479,
788,710,982,951,790,833,145,056,849,522,351,759,359,883,286,557,884,112,958,
806,650,133,037,442,380,032,841,997,228,383,162,684,440,853,597,321,632,288,
571,921,317,772,623,641,625,316,101,367,949,770,401,706,197,533,399,292,756,
485,412,093,265,561,439,161,972,596,037,913,784,086,096,533,803,445,179,526,
571,643,841,222,924,541,904,426,103,906,463,265,009,012,903,883,174,022,023,
657,466,577,717,894,268,322,533,671,692,582,794,203,046,729,521,057,949,686,
359,355,570,792,121,569,134,277,474,756,561,848,388,028,609,834,965,048,390,
963,971,259,993,167,143,093,326,922,617,990,613,057,173,459,620,630,006,369,
915,516,340,599,378,398,791,305,566,890,224,889,585,396,929,637,223,206,445,
005,509,282,296,474,670,987,283,315,656,029,283,161,405,313,379,600,652,360,
303,461,291,433,702,726,524,828,608,325,317,332,723,384,654,433,460,160,383,
390,677,191,519,166,747,631,633,368,658,271,830,693,178,121,324,491,274,964,
587,187,241,551,315,188,561,800,429,315,595,724,026,005,090,545,731,315,887,
488,055,090,364,127,676,734,538,919,519,511,508,729,152,086,194,939,790,390,
247,093,104,030,668,196,207,533,322,320,938,539,343,602,711,340,404,752,501,
363,616,925,912,094,690,487,599,181,870,104,129,560,464,267,533,072,816,017,
540,843,065,922,281,577,030,294,213,588,059,804,284,924,263,721,128,634,028,
505,018,210,464,691,558,173,242,749,098,721,007,608,008,575,392,682,735,690,
631,074,181,789,077,610,681,731,005,166,747,404,790,288,570,044,702,522,346,
172,266,810,095,409,260,511,064,189,288,471,544,782,425,105,439,430,107,697,
121,969,926,287,375,577,707,051,055,266,656,442,433,811,851,667,535,265,704,
495,273,580,753,459,803,255,701,206,782,508,962,255,305,995,109,330,333,951,
647,690,929,090,189,521,753,494,899,257,626,671,645,621,618,438,106,667,844,
598,579,582,274,860,268,633,822,222,009,369,505,091,872,673,472,769,784,925,
491,096,794,190,884,774,245,102,915,335,627,807,293,892,004,458,891,612,500,
510,366,951,591,554,028,205,158,675,440,031,094,504,633,543,375,602,674,561,
786,286,623,026,062,767,776,817,121,406,922,335,249,971,336,651,913,230,483,
562,950,378,236,170,895,107,591,739,094,214,351,542,496,813,156,047,219,856,
095,009,814,049,165,899,723,485,007,498,468,112,723,017,097,024,435,972,331,
650,505,405,615,330,830,154,024,725,346,256,071,540,624,917,911,358,224,189,
148,990,532,509,973,875,274,179,055,169,947,699,435,174,553,787,623,273,253,
072,054,210,151,986,593,728,209,627,921,835,351,513,434,659,866,171,546,545,
616,651,526,138,549,500,240,879,562,394,913,123,554,177,402,805,848,300,319,
291,712,295,329,996,845,253,194,325,967,868,612,327,454,137,715,659,303,700,
495,280,912,063,106,375,955,270,021,988,682,159,131,687,634,362,608,703,473,
118,401,447,662,424,400,706,610,519,922,100,752,528,766,436,310,529,420,549,
256,398,698,303,568,008,728,852,183,991,328,156,559,191,125,608,017,632,686,
619,935,693,959,586,760,102,967,947,611,110,058,750,843,425,859,451,712,876,
475,610,647,032,391,187,275,175,550,751,360,492,406,092,891,961,728,681,217,
574,676,445,092,676,023,582,330,604,191,378,844,756,392,339,603,102,181,780,
905,916,710,811,848,710,694,763,190,572,067,496,689,042,615,839,107,283,128,
674,726,485,867,732,528,143,946,967,221,354,073,515,438,699,033,653,250,323,
530,052,555,094,250,974,790,993,007,943,819,463,555,518,146,555,542,140,481,
143,911,509,008,180,696,722,234,703,410,141,717,001,069,567,586,934,247,239,
937,169,254,264,235,176,354,563,762,635,171,500,873,485,066,211,306,901,379,
448,359,699,886,837,770,204,189,366,196,594,801,101,752,297,882,665,305,344,
072,567,252,479,431,446,749,747,059,845,994,210,087,467,017,322,369,188,867,
869,701,269,773,769,452,800,692,281,221,770,043,088,217,640,560,413,567,444,
761,937,469,204,599,070,017,940,900,971,452,930,325,445,158,258,215,660,711,
737,598,139,070,672,506,568,011,123,810,283,726,247,904,626,302,236,285,321,
531,773,683,504,149,608,423,572,642,712,258,195,115,379,917,930,084,168,769,
159,587,582,315,316,618,657,740,066,778,611,048,797,136,098,273,935,352,083,
132,091,331,168,753,945,162,291,181,262,390,569,391,031,999,380,783,366,127,
682,709,362,596,017,773,617,613,467,580,550,584,401,793,602,718,778,320,513,
895,620,197,861,928,174,885,094,664,415,377,282,923,017,873,884,672,625,100,
846,773,449,664,193,343,931,635,845,612,308,034,229,500,549,548,624,278,339,
602,323,623,725,554,042,810,357,177,202,791,899,552,727,712,800,540,228,401,
029,051,898,344,651,661,017,174,001,148,897,626,956,783,779,400,730,342,691,
564,209,960,630,315,395,768,629,318,091,794,855,837,054,877,510,395,714,899,
610,862,002,832,545,625,620,406,724,998,949,891,279,843,119,314,056,047,690,
011,835,409,826,109,769,626,034,035,116,176,694,421,122,372,939,314,674,891,
626,588,810,024,412,535,093,042,513,337,286,445,797,901,176,434,342,632,625,
824,454,143,240,380,810,657,412,415,291,056,842,974,538,096,996,949,816,099,
050,648,578,725,459,624,481,013,270,116,014,088,096,570,243,524,016,742,167,
497,529,274,825,629,767,725,495,182,989,290,698,443,557,648,372,452,208,568,
028,438,579,136,833,504,683,821,836,373,970,284,168,804,797,320,511,574,440,
869,471,962,966,332,482,946,122,431,326,867,038,563,178,676,616,404,966,050,
113,433,890,969,522,752,559,517,285,388,180,059,502,752,629,503,266,681,746,
703,989,742,521,865,565,366,201,261,428,810,057,072,269,178,859,465,578,464,
823,985,784,027,163,788,524,398,823,687,327,571,485,421,087,875,734,773,336,
166,444,779,670,008,590,367,594,188,306,262,734,738,950,419,332,830,479,259,
550,554,836,798,776,827,628,523,293,263,552,114,692,574,392,036,897,337,586,
972,381,973,627,824,138,678,404,653,647,810,525,696,306,202,997,637,444,090,
011,992,404,865,087,050,306,244,532,426,002,239,995,716,643,507,178,813,576,
124,615,921,272,477,298,732,067,008,904,917,052,141,266,357,880,071,331,161,
780,939,220,613,513,186,033,433,660,024,691,613,266,975,353,988,778,633,306,
851,769,403,140,469,198,928,507,770,165,673,027,597,138,414,775,446,857,791,
885,202,537,656,111,925,382,866,129,444,853,277,627,544,294,142,698,846,023,
772,882,696,551,700,250,217,710,194,231,625,093,256,677,830,819,258,300,897,
289,858,987,423,828,583,914,302,034,171,491,068,702,428,499,132,843,083,509,
382,939,728,874,758,789,522,023,384,598,234,607,390,758,233,554,143,349,197,
508,963,328,147,799,156,887,311,521,524,195,850,106,060,045,194,571,549,799,
827,372,809,904,906,431,398,732,416,998,839,918,595,052,528,806,678,425,897,
841,367,156,873,003,473,660,168,208,131,144,235,921,272,524,351,095,014,192,
466,382,323,271,733,046,774,402,917,096,856,379,737,989,948,303,005,673,710,
422,183,234,558,289,904,369,544,889,908,983,378,518,362,287,128,622,751,926,
131,340,407,451,728,282,245,201,422,837,183,818,240,513,733,790,556,228,058,
318,471,296,264,340,933,299,480,830,681,418,942,610,235,273,450,570,163,822,
187,795,357,618,554,181,015,103,051,782,721,983,922,500,965,026,433,212,588,
521,068,627,426,940,715,222,424,273,686,846,757,025,661,786,074,286,113,905,
736,398,995,914,983,789,739,682,965,364,348,706,110,113,378,329,089,184,279,
331,746,061,727,389,169,310,206,676,312,383,831,071,444,776,417,018,648,925,
683,972,081,118,150,726,654,032,000,885,899,690,719,601,074,197,329,579,058,
186,764,635,089,057,564,921,704,799,737,224,891,656,467,817,910,128,410,914,
453,868,844,448,081,368,350,958,237,019,317,370,065,004,757,335,834,621,493,
296,486,681,906,270,141,211,554,962,673,687,375,713,419,596,620,358,331,338,
602,739,697,375,839,601,382,865,177,667,855,987,961,036,128,781,731,048,921,
321,256,245,122,436,512,525,721,059,689,316,744,971,180,650,777,955,743,809,
135,820,943,642,328,421,783,924,591,417,547,837,936,474,062,513,666,633,802,
288,959,763,803,184,809,044,971,887,719,376,894,103,992,998,938,082,041,050,
179,710,176,379,918,607,490,599,450,033,038,691,156,545,515,957,500,245,004,
935,009,485,209,703,210,307,268,976,087,429,538,341,479,660,936,176,641,729,
024,125,681,156,765,740,250,304,744,559,320,725,086,161,429,250,253,163,309,
084,784,083,871,876,959,040,986,624,747,329,012,960,861,537,811,879,512,323,
036,196,632,455,115,669,436,912,444,586,570,273,696,062,397,862,914,637,944,
987,061,485,284,841,657,608,781,658,033,435,696,120,136,788,727,755,310,266,
946,092,138,381,268,263,067,193,980,419,897,015,623,222,088,509,604,481,796,
395,876,046,651,621,608,056,113,863,789,025,929,661,912,853,810,312,769,167,
000,265,470,057,972,736,448,725,601,198,583,270,806,171,334,764,197,365,231,
531,004,063,725,457,978,979,657,215,823,985,796,071,870,448,407,310,608,661,
392,174,603,458,751,396,749,227,994,540,645,677,618,076,968,572,460,037,331,
976,008,744,258,967,116,168,989,270,541,673,019,085,949,120,756,835,611,464,
267,082,035,083,957,625,004,854,075,812,027,493,237,900,621,238,262,664,373,
084,323,328,437,569,643,971,747,496,498,074,119,304,928,331,273,822,989,427,
951,457,634,930,994,062,783,162,253,797,460,134,216,038,501,021,042,252,397,
436,346,928,236,009,747,247,733,892,372,817,620,748,525,963,571,557,331,737,
253,175,648,937,791,938,615,979,936,330,842,954,677,564,610,800,453,879,827,
551,601,364,120,833,993,744,138,872,766,707,056,796,468,699,386,572,838,454,
721,615,548,548,781,578,699,529,562,007,941,696,347,768,990,719,918,300,994,
644,631,439,260,066,754,459,441,071,650,744,289,076,965,008,355,494,266,332,
352,363,656,292,536,770,265,851,447,120,178,467,164,643,199,567,544,195,224,
271,339,822,345,421,265,087,821,654,666,628,658,357,209,440,636,547,677,741,
772,036,025,760,764,883,102,997,109,793,602,975,140,777,779,730,639,148,480,
864,565,027,192,551,108,701,415,914,543,409,791,737,345,026,424,054,442,579,
750,904,876,168,332,298,890,859,973,169,861,082,731,941,647,141,415,076,798,
200,557,866,921,763,794,005,747,391,652,826,496,287,215,227,484,612,084,471,
060,173,686,735,134,891,483,957,372,397,825,278,651,926,679,008,554,392,112,
094,521,625,176,126,465,804,631,191,312,873,576,122,622,470,020,395,830,450,
098,215,235,192,831,819,116,107,510,362,246,998,983,826,647,455,213,072,209,
972,425,633,673,680,000,980,513,697,850,092,359,979,431,717,259,977,590,945,
712,984,517,795,918,406,262,744,516,866,410,065,312,187,680,139,684,865,584,
376,381,123,383,748,088,541,140,308,661,890,321,545,180,302,546,562,959,944,
088,999,839,644,842,698,356,179,194,915,228,921,018,860,151,055,320,314,818,
249,213,955,799,924,416,256,380,128,787,790,151,259,448,721,042,755,225,856,
082,836,931,120,823,003,658,092,281,841,767,684,641,042,018,690,748,977,541,
693,388,933,276,113,742,782,902,232,482,533,333,259,408,699,551,123,705,749,
592,016,423,957,739,227,716,788,473,022,337,703,328,693,715,871,768,722,560,
879,492,900,318,954,230,258,257,872,136,105,623,220,780,155,457,674,148,671,
210,010,631,604,851,483,924,815,722,621,138,288,968,861,230,778,492,488,082,
567,231,915,137,630,790,802,045,007,496,844,098,728,253,655,835,178,463,004,
418,320,127,081,429,297,924,103,544,995,028,690,172,291,799,413,371,917,377,
453,747,811,751,180,708,403,767,270,104,925,099,654,262,553,745,691,001,833,
784,236,767,917,820,048,863,880,263,333,135,677,505,382,697,941,163,721,352,
011,425,333,712,599,190,918,144,456,490,231,645,358,566,952,195,315,336,601,
928,093,340,158,864,973,560,360,309,726,663,849,047,817,274,572,710,417,468,
848,179,669,820,502,014,745,906,277,956,228,856,782,071,597,103,459,229,246,
489,143,389,035,383,391,739,651,577,444,988,436,376,327,398,164,193,035,089,
693,187,373,012,964,075,577,695,706,946,961,380,936,408,061,165,375,275,126,
434,146,454,636,616,541,611,295,493,792,928,676,514,878,055,613,750,476,171,
438,753,871,556,602,306,704,404,833,137,389,397,779,041,516,023,231,855,342,
399,566,441,062,441,235,203,622,678,722,244,485,978,860,527,645,532,861,393,
565,938,842,416,700,693,869,196,201,716,782,427,548,525,877,468,234,742,419,
145,633,062,912,259,684,098,865,426,953,847,359,313,869,164,919,211,661,986,
398,566,802,760,652,994,501,290,605,871,147,571,836,093,320,465,533,419,232,
796,459,022,022,754,667,464,872,930,538,423,629,365,492,439,017,299,149,948,
553,629,792,981,797,798,569,245,536,250,550,008,792,530,419,844,635,771,041,
789,258,053,555,646,023,293,886,463,399,226,657,472,414,650,447,144,042,657,
211,662,085,803,010,541,943,480,390,811,829,629,705,719,212,054,867,920,785,
633,069,578,965,577,633,258,643,925,991,029,311,345,247,833,395,359,555,270,
447,354,393,214,909,348,808,179,765,156,069,578,071,692,551,713,461,147,894,
587,782,607,679,164,685,891,005,341,043,048,500,102,187,092,125,605,605,692,
163,070,147,191,108,765,830,143,155,744,002,166,043,894,209,115,471,286,212,
314,463,182,107,677,119,435,964,413,422,524,372,580,131,417,375,647,118,247,
557,010,908,345,339,293,881,671,224,479,364,094,919,542,134,101,331,414,640,
362,302,565,643,141,987,201,279,664,524,219,959,035,877,384,196,578,064,528,
454,647,876,605,680,905,477,299,058,504,941,418,521,955,063,093,239,893,599,
220,026,772,269,844,925,423,637,206,044,759,578,981,592,059,348,083,493,701,
090,467,020,097,579,316,710,539,005,703,462,070,056,940,568,844,248,287,850,
426,696,218,847,444,399,205,397,774,390,453,218,912,604,349,338,463,184,725,
576,972,256,506,628,862,365,858,859,212,542,607,311,248,801,271,510,676,570,
709,989,398,581,431,579,421,059,036,760,385,988,078,480,112,180,941,635,124,
905,769,978,254,520,414,112,432,153,574,079,588,261,189,564,334,323,844,644,
808,663,351,327,416,907,359,925,496,997,193,714,636,451,678,250,322,034,597,
872,050,976,106,772,957,514,220,039,452,662,255,450,752,876,841,798,852,465,
087,893,921,701,972,213,679,734,356,200,680,746,644,315,852,814,759,214,160,
056,620,740,759,415,795,694,197,763,777,757,808,272,768,935,275,344,525,684,
092,949,560,932,663,517,288,070,750,593,234,241,560,257,554,625,819,972,077,
188,810,012,485,434,361,350,720,512,305,365,374,564,506,846,460,173,636,319,
389,870,988,688,695,760,444,715,309,374,525,375,304,505,686,034,242,196,550,
866,053,039,393,483,370,234,738,274,944,521,817,190,086,877,965,494,510,590,
473,643,443,357,800,347,749,461,715,911,829,651,985,343,578,857,502,129,400,
957,855,217,134,526,613,068,544,620,161,778,189,202,534,159,445,901,011,225,
475,215,354,752,945,647,427,984,481,573,444,839,989,827,974,490,294,586,243,
825,901,459,250,290,857,671,398,554,149,850,833,000,020,329,487,798,902,968,
091,723,874,234,816,691,002,102,375,302,388,133,477,726,284,866,199,342,807,
921,895,808,628,979,639,982,306,719,299,679,480,720,285,316,308,870,700,673,
977,326,059,355,014,506,288,637,666,170,222,500,163,140,427,573,624,254,358,
227,637,850,093,419,159,164,912,702,172,185,238,123,749,490,923,345,218,632,
647,805,096,833,946,095,911,027,413,952,612,959,018,279,260,396,569,378,647,
992,059,372,109,958,443,551,321,418,622,306,714,079,132,341,011,291,776,971,
529,017,006,180,890,509,276,357,149,299,481,897,160,877,737,721,323,657,040,
756,842,631,814,486,436,005,907,825,768,543,384,410,825,162,061,031,352,714,
037,210,229,050,399,970,893,823,547,486,674,899,342,159,118,741,403,161,775,
800,630,580,993,106,247,660,751,027,042,968,244,724,353,528,778,516,898,990,
802,735,406,803,598,940,177,834,777,801,466,447,625,102,193,404,344,953,301,
114,024,296,159,451,668,831,275,151,124,273,072,447,593,250,809,549,038,871,
201,276,199,990,005,893,875,216,592,509,813,214,146,032,662,526,686,967,594,
888,620,418,612,974,680,476,882,498,757,042,116,479,153,239,802,822,021,713,
604,887,303,343,887,101,785,956,054,898,700,368,501,381,927,487,236,369,741,
876,543,837,853,973,823,894,958,695,455,293,465,583,370,399,857,342,329,630,
476,759,141,242,914,093,449,000,565,062,680,317,001,218,833,012,543,752,784,
481,065,465,038,000,831,884,100,158,617,539,469,750,260,926,865,098,057,309,
808,508,250,329,768,945,033,726,492,282,830,674,835,465,066,135,681,909,584,
044,664,805,187,709,823,255,265,591,878,195,818,819,197,380,071,768,285,873,
433,585,018,600,123,901,511,958,662,518,630,708,196,880,440,982,119,650,646,
613,173,466,064,249,847,962,832,029,721,555,414,024,037,439,569,253,430,446,
737,646,302,447,188,112,688,534,993,349,105,125,381,679,006,967,616,008,637,
405,849,404,161,782,298,518,321,501,599,975,267,815,713,707,499,858,677,809,
342,676,275,946,095,441,541,734,396,248,603,328,695,956,988,150,063,795,304,
884,161,790,112,548,986,453,883,814,381,051,766,957,899,938,763,555,822,460,
580,258,283,138,677,512,270,058,215,485,445,310,590,036,972,532,126,637,618,
752,946,674,452,785,142,472,066,999,614,374,567,310,073,527,105,063,538,001,
405,531,742,056,218,629,456,844,654,180,615,426,012,458,391,953,157,072,556,
667,311,914,043,996,177,346,127,849,104,545,203,438,876,340,061,079,951,666,
972,091,985,259,685,957,135,822,498,006,306,811,507,617,409,574,533,227,526,
165,509,475,363,109,852,697,993,563,973,811,124,749,004,191,853,572,602,503,
281,014,172,237,885,570,361,082,441,005,845,963,738,733,438,772,599,349,505,
656,186,993,844,955,960,896,102,118,183,525,434,648,355,408,156,626,658,732,
677,552,327,422,522,936,254,854,970,083,480,906,956,573,198,474,770,458,557,
046,924,906,187,943,729,628,032,800,296,946,512,869,375,224,132,997,767,019,
734,587,320,925,469,544,537,096,049,944,871,921,634,779,803,715,814,147,558,
398,526,574,605,847,974,068,001,392,585,844,012,686,394,649,278,377,045,997,
989,129,724,068,669,222,730,306,397,870,308,376,206,616,492,014,244,373,058,
700,853,509,151,512,606,401,594,499,343,448,661,508,949,334,679,933,486,444,
732,568,923,694,680,293,562,195,814,758,889,898,572,620,109,181,706,114,260,
288,694,511,048,697,789,009,653,121,882,610,285,196,284,666,100,421,773,150,
672,136,059,282,756,683,752,280,878,487,176,957,561,333,559,459,433,772,254,
727,294,063,718,903,644,762,721,928,209,443,697,996,487,081,100,829,291,492,
729,645,760,162,008,705,209,959,068,031,293,645,754,727,223,326,846,634,586,
078,790,747,049,531,797,009,388,263,681,595,787,718,330,075,302,331,425,277,
646,674,067,116,322,121,146,206,729,443,442,400,303,848,118,878,786,271,864,
690,073,019,133,924,028,716,890,768,986,696,574,311,753,021,293,268,855,531,
316,280,085,758,951,937,767,831,329,120,847,469,676,384,038,908,006,483,687,
128,294,594,599,661,991,857,766,654,839,515,939,194,240,869,481,701,556,959,
619,999,040,920,438,083,833,308,351,031,535,610,701,537,160,058,557,957,354,
769,652,066,122,723,602,713,766,755,399,551,054,672,496,207,745,107,557,525,
504,686,581,902,304,210,222,999,469,956,227,707,184,730,410,323,706,491,272,
135,520,371,541,025,186,614,445,359,177,164,797,594,016,129,906,666,450,631,
126,639,665,473,944,311,525,891,128,973,517,276,772,909,209,050,496,703,155,
768,694,607,938,239,068,472,448,623,614,241,794,714,875,088,796,565,893,756,
197,018,147,295,487,377,770,715,083,106,930,524,494,114,525,073,644,222,649,
778,093,711,201,054,534,967,781,784,414,143,097,198,887,706,733,058,260,688,
936,972,563,467,817,674,391,615,494,562,240,771,913,785,439,443,918,835,085,
010,560,301,938,821,871,721,113,740,453,611,197,329,674,986,718,980,741,092,
497,817,606,131,576,754,185,345,507,202,922,858,762,689,138,063,770,202,236,
603,033,857,590,869,952,074,441,655,512,954,079,625,604,106,712,947,910,907,
179,110,318,886,846,662,146,476,990,271,667,289,435,158,651,653,567,447,192,
796,713,953,246,427,572,963,094,846,020,247,229,634,065,671,491,347,582,126,
804,816,254,713,331,326,854,664,042,525,844,854,243,159,777,264,128,564,890,
205,144,128,131,544,446,379,821,715,788,028,019,617,561,708,263,838,271,875,
375,584,723,288,521,851,189,227,473,114,198,712,257,412,643,338,958,824,683,
715,937,133,004,592,696,897,400,428,953,138,708,698,520,737,976,039,376,091,
121,431,800,079,055,637,847,715,167,186,020,772,675,020,930,813,668,952,583,
288,898,474,049,754,921,455,202,228,608,448,996,478,006,579,842,433,043,339,
639,433,053,216,061,395,389,272,389,430,559,233,965,869,299,753,081,155,627,
233,595,374,680,685,245,393,379,195,368,873,130,565,993,310,729,508,825,041,
286,605,912,349,234,707,623,071,693,888,849,564,360,010,898,961,609,629,591,
060,395,506,587,802,816,741,387,125,004,536,539,583,420,966,988,550,255,705,
803,017,013,658,262,552,301,373,732,241,133,920,256,651,681,476,559,758,645,
726,650,242,270,847,543,787,979,453,221,356,166,578,485,853,296,039,587,901,
792,787,955,878,230,472,390,082,468,665,246,966,047,471,822,013,358,327,546,
395,243,304,145,825,335,458,355,307,037,811,134,810,551,665,546,769,827,786,
042,508,850,787,263,874,871,492,898,861,165,130,398,385,486,731,154,018,125,
427,747,163,196,253,241,573,962,452,663,234,935,304,102,132,330,497,504,255,
298,879,126,777,087,875,206,740,377,641,306,519,204,252,767,309,934,660,676,
804,670,889,755,766,956,482,985,930,904,508,246,064,916,509,770,959,368,450,
426,672,835,078,628,326,420,923,953,209,681,737,927,739,439,147,779,121,837,
124,198,622,934,098,301,157,331,064,231,000,815,800,334,311,108,748,150,787,
089,796,576,143,697,180,018,578,385,600,367,356,699,175,869,209,659,965,560,
760,292,521,321,530,167,768,182,014,301,163,530,101,009,199,758,845,408,978,
339,887,979,416,097,123,551,343,464,467,880,929,355,423,988,519,210,504,441,
873,981,893,186,415,270,011,492,065,154,577,104,095,809,381,599,904,464,414,
033,156,606,379,048,835,884,729,515,284,439,120,390,913,670,680,674,927,743,
487,380,789,296,984,666,970,948,321,264,154,011,549,850,962,998,978,122,365,
822,608,211,723,118,202,340,050,772,642,099,688,491,833,390,604,968,552,786,
875,777,568,749,790,808,192,235,704,053,659,008,872,179,677,608,725,793,039,
252,185,727,961,786,646,306,464,725,243,759,884,540,080,506,763,608,620,346,
369,068,375,507,216,284,911,341,241,108,900,910,497,637,262,084,822,720,228,
136,547,339,832,437,876,232,275,221,811,953,358,226,934,488,953,736,670,087,
288,725,750,591,038,357,449,596,724,328,922,967,162,677,884,999,805,864,590,
655,374,601,732,107,683,359,819,713,338,268,497,203,228,483,064,432,129,817,
272,243,908,990,270,285,990,012,456,640,876,209,497,572,478,204,680,330,072,
969,024,487,401,495,117,223,183,281,489,420,300,822,260,693,558,658,937,518,
272,503,365,235,558,732,826,771,960,333,466,427,811,588,740,876,295,935,616,
678,262,965,314,836,044,374,997,590,637,508,211,097,914,059,638,949,527,755,
863,577,519,076,017,900,030,526,943,587,612,262,500,209,117,962,361,096,968,
343,500,385,727,395,555,884,045,161,626,765,095,935,938,673,767,982,656,710,
583,376,185,047,451,870,715,855,687,356,372,129,017,703,095,558,883,676,315,
246,762,443,897,725,200,158,572,806,332,344,290,722,310,123,127,938,096,023,
753,222,248,904,009,658,017,870,815,705,926,712,661,057,460,936,391,081,395,
385,559,218,108,325,621,332,089,391,930,968,538,037,846,273,109,683,098,318,
847,265,022,758,245,345,182,775,379,478,362,787,502,029,739,706,432,793,665,
331,092,221,627,088,498,856,977,590,283,670,440,190,100,575,751,765,992,922,
823,334,001,476,548,540,177,974,725,560,173,106,476,351,798,711,214,181,308,
142,623,342,494,822,089,289,168,444,918,268,231,114,405,370,802,712,420,712,
344,080,531,802,492,080,707,154,732,359,429,289,920,918,170,062,723,511,599,
803,635,834,870,010,488,035,761,637,324,355,812,755,702,174,796,742,439,131,
520,687,886,732,726,066,673,955,389,872,315,443,655,038,595,686,969,295,522,
889,440,355,986,086,859,957,710,811,567,783,343,561,261,997,225,580,043,354,
148,774,610,517,553,204,877,072,167,456,139,925,465,208,494,235,960,602,966,
178,200,756,619,603,416,923,988,417,386,147,584,758,222,077,406,239,013,645,
175,881,847,804,873,895,612,103,033,393,646,710,676,915,979,679,004,996,463,
799,193,787,296,517,985,309,645,677,356,292,396,128,057,859,396,629,807,610,
277,130,954,721,700,501,913,185,976,816,099,682,126,593,243,192,451,475,824,
155,807,880,823,980,109,111,451,782,705,622,573,272,220,341,650,808,864,233,
685,062,705,252,592,366,128,212,558,808,606,067,405,274,514,501,986,012,117,
656,720,197,924,003,901,732,321,961,093,797,038,212,105,342,529,881,404,275,
184,409,955,307,895,750,073,001,248,804,175,748,247,990,448,946,657,062,620,
723,957,156,052,775,139,429,418,143,478,440,813,941,927,160,110,516,365,899,
651,429,538,403,946,193,614,614,975,948,742,662,152,834,725,589,652,269,153,
313,691,787,429,524,105,511,278,929,456,700,689,427,392,892,889,775,479,011,
411,044,841,019,260,702,623,162,455,139,118,703,246,641,083,243,176,417,708,
263,986,378,122,749,730,254,255,859,575,121,038,075,396,395,880,070,756,663,
171,397,822,868,106,220,157,182,140,004,982,454,862,356,903,348,113,711,128,
747,603,562,339,457,354,465,264,516,444,843,117,317,972,587,400,800,629,310,
724,426,367,425,152,114,561,213,395,791,045,478,450,207,497,141,280,253,052,
804,178,583,565,163,604,584,150,426,625,125,810,625,540,720,288,091,776,162,
520,377,165,564,860,815,311,835,309,177,920,192,702,494,406,627,486,890,984,
716,815,805,673,553,121,537,297,007,317,812,193,360,203,288,494,367,313,512,
547,616,940,611,282,674,748,461,605,681,765,184,635,661,203,270,098,967,863,
239,222,475,531,612,023,501,709,589,772,637,682,854,599,302,331,309,556,143,
622,666,231,119,056,701,552,742,132,282,025,957,339,352,549,965,085,360,805,
501,950,403,363,168,416,029,875,215,227,244,972,677,959,356,321,985,826,826,
345,118,229,790,283,251,992,120,077,371,540,868,221,790,352,816,117,244,200,
906,604,285,186,550,613,164,798,694,867,871,518,916,176,497,581,714,622,632,
897,224,723,718,417,051,143,988,611,249,895,553,595,724,452,045,093,566,219,
668,962,426,673,228,772,195,658,888,900,274,913,158,542,263,848,444,004,611,
038,452,122,338,332,256,663,334,449,981,855,230,832,906,796,991,134,761,127,
197,510,061,678,267,572,474,551,420,302,975,512,688,863,344,438,958,970,077,
538,142,371,868,855,397,566,369,820,814,309,781,648,274,081,934,494,318,497,
463,421,247,600,444,398,889,923,409,855,131,379,867,767,913,490,980,900,038,
355,776,430,649,075,561,235,722,255,932,759,026,571,929,524,625,429,780,891,
437,196,633,871,880,705,969,452,059,952,923,852,769,755,661,918,317,968,141,
687,043,153,955,004,921,239,914,259,267,343,930,635,350,971,808,763,578,791,
954,429,732,351,181,822,581,106,682,870,229,839,794,718,429,724,037,155,784,
632,342,696,568,302,999,108,091,375,553,116,802,298,478,610,387,380,701,427,
117,640,799,207,131,826,484,510,178,871,697,267,105,939,497,173,634,355,779,
723,203,749,784,752,692,872,273,286,746,508,431,058,435,973,867,314,850,166,
564,073,761,377,363,122,260,401,598,221,156,533,220,432,520,443,294,121,625,
386,767,647,448,518,614,831,523,570,970,072,753,834,172,848,425,217,756,342,
977,788,678,472,371,329,687,154,107,235,883,196,203,889,861,278,301,412,890,
891,984,924,869,893,641,882,809,369,650,001,172,081,249,003,261,258,592,345,
064,857,821,624,048,477,837,856,292,664,163,133,424,015,919,693,120,711,501,
079,489,007,699,373,683,210,893,502,469,431,299,373,366,247,547,644,162,457,
113,379,769,253,143,104,619,961,790,739,558,987,207,644,207,218,046,872,295,
369,124,827,010,449,577,949,235,906,058,310,287,387,477,512,754,561,975,048,
961,975,363,902,320,768,452,551,371,212,013,940,504,866,561,073,024,726,584,
580,936,009,122,246,650,248,426,266,816,855,248,963,737,026,650,923,296,391,
153,961,179,920,921,422,384,490,019,708,824,231,696,905,814,674,763,650,669,
523,434,947,029,330,061,378,674,492,011,441,201,057,762,480,871,763,322,972,
997,996,468,553,714,506,472,970,793,392,318,834,659,984,418,267,715,869,773,
844,264,730,440,997,267,175,391,798,829,152,508,920,419,439,594,080,201,109,
550,989,561,881,127,682,390,196,570,660,183,018,608,605,852,570,544,451,365,
895,588,439,135,839,951,212,184,220,447,197,152,121,120,745,689,034,104,264,
257,938,741,593,606,630,166,602,240,859,154,584,931,721,942,812,378,912,371,
470,795,467,146,374,107,075,479,318,901,739,000,683,982,390,477,203,476,736,
215,641,805,999,732,616,329,406,059,596,426,335,869,589,050,499,791,238,891,
873,526,384,327,346,679,581,958,963,644,587,870,618,663,338,221,408,840,180,
140,603,920,361,090,338,702,044,159,442,959,245,369,425,488,448,960,610,820,
602,721,439,740,904,938,263,059,663,418,801,554,233,327,001,150,957,795,676,
523,450,841,781,451,168,607,476,888,336,021,615,774,160,063,389,144,782,989,
276,589,060,481,161,150,454,850,113,248,821,820,419,312,245,632,843,018,539,
799,850,678,108,538,005,714,902,302,106,964,253,426,226,257,395,104,212,490,
467,527,908,175,088,920,000,903,116,905,875,359,304,364,608,603,189,336,590,
701,565,951,332,325,045,562,663,680,612,014,773,752,691,242,287,628,911,415,
111,557,339,937,542,431,482,624,190,465,490,942,891,431,246,545,451,675,407,
301,598,681,552,804,494,782,028,856,176,723,925,987,202,620,369,580,022,801,
713,576,355,269,177,209,119,087,448,917,758,075,934,552,668,236,533,934,796,
210,793,973,541,955,406,845,725,195,871,865,523,281,335,250,158,639,446,986,
987,448,320,048,671,341,612,032,726,433,953,282,311,116,002,085,468,607,825,
044,778,894,234,662,094,365,914,874,805,443,368,062,897,997,932,213,248,601,
882,954,373,448,316,845,351,735,020,272,200,635,919,264,803,942,971,375,990,
630,509,687,163,583,989,742,233,298,287,034,744,798,051,640,580,798,245,252,
239,228,507,906,384,693,947,478,722,287,334,713,476,324,735,005,784,348,887,
509,093,945,289,596,159,580,643,143,721,750,947,117,022,831,983,712,056,938,
786,711,899,716,705,505,393,622,652,012,809,635,270,875,388,616,944,899,995,
507,553,438,746,948,215,094,617,289,346,508,913,864,097,716,747,870,999,592,
928,944,331,998,663,039,674,136,836,012,419,314,563,052,521,413,044,118,607,
579,479,733,376,309,581,655,321,314,204,396,970,306,967,603,238,925,593,530,
795,715,065,975,222,002,140,772,931,634,222,592,259,734,565,967,782,444,828,
625,509,354,772,734,654,683,403,363,410,999,876,584,926,707,218,149,096,150,
910,747,282,027,582,043,711,748,519,778,611,921,312,034,031,340,047,268,346,
052,711,653,629,737,353,425,442,828,388,332,818,390,296,881,251,450,601,930,
094,765,684,699,367,046,620,603,858,481,475,219,589,182,308,105,061,629,404,
285,011,146,950,596,022,218,623,684,336,308,256,781,307,856,290,855,733,168,
988,800,721,341,281,332,763,999,563,014,613,374,475,593,822,676,010,307,403,
212,608,956,783,522,240,594,042,461,942,422,039,827,926,762,387,209,007,417,
710,574,252,440,721,547,939,492,025,091,631,145,295,346,087,576,527,492,648,
176,940,513,305,948,450,256,893,963,290,028,572,522,575,382,301,018,576,017,
005,840,860,201,360,980,122,234,100,240,541,606,862,665,065,226,304,452,596,
629,066,470,353,500,386,419,302,926,543,417,752,734,085,882,402,405,145,996,
026,953,197,410,878,446,373,379,808,950,483,463,794,266,064,463,195,947,805,
701,252,716,633,488,456,460,352,170,556,071,456,655,125,142,771,479,344,916,
765,263,720,819,034,555,365,662,925,164,003,444,532,812,678,389,589,613,254,
767,537,000,486,801,628,486,645,303,099,711,662,143,184,943,217,909,559,759,
471,454,257,618,479,251,510,562,573,045,062,331,715,038,205,167,907,200,204,
522,573,784,841,700,892,027,122,467,675,762,435,600,321,898,415,873,904,941,
429,607,236,768,322,232,222,616,391,946,712,441,484,209,429,845,993,661,839,
658,953,469,807,748,411,029,786,856,144,535,955,302,687,889,755,777,929,110,
012,450,803,911,135,546,471,298,910,339,430,685,599,405,386,510,712,880,204,
757,596,245,463,602,908,020,260,772,109,097,242,733,218,396,880,940,944,802,
977,296,452,635,053,821,034,584,385,530,194,608,229,202,501,582,299,710,371,
528,930,819,816,403,217,951,699,957,763,696,030,218,859,146,661,700,733,849,
543,661,629,865,133,284,213,158,038,970,185,911,606,346,882,168,953,635,538,
997,525,607,272,122,658,803,381,623,510,450,320,890,568,215,941,785,551,592,
425,594,333,454,073,855,306,030,794,608,413,340,101,476,369,960,213,964,801,
576,975,133,326,698,520,576,643,991,633,576,722,740,968,765,632,334,647,949,
479,290,249,652,882,035,425,287,213,946,590,443,507,652,122,224,017,941,651,
519,459,510,253,236,581,036,481,864,592,915,650,002,021,503,839,070,640,407,
144,862,589,062,502,107,055,244,698,302,289,482,136,407,082,343,825,014,269,
387,733,591,579,122,049,233,575,067,619,724,433,603,552,119,432,137,135,595,
899,797,862,126,726,377,833,518,542,719,190,500,459,132,535,844,368,957,422,
482,445,236,879,272,426,215,736,549,346,494,141,506,936,676,426,023,411,275,
124,802,493,415,281,437,857,865,613,909,891,740,146,085,527,826,400,877,924,
965,706,638,172,141,791,887,942,608,106,589,027,329,475,336,839,908,745,565,
325,184,404,463,143,304,435,656,828,135,156,965,941,865,832,052,617,691,403,
160,326,776,520,621,915,121,944,406,661,633,861,381,518,112,733,845,755,309,
430,683,292,010,722,980,072,038,903,412,407,910,091,792,447,480,425,821,858,
082,952,845,451,262,206,847,055,075,608,270,547,549,174,691,814,486,146,953,
306,148,357,953,068,683,393,015,569,931,783,907,810,313,937,535,096,010,759,
563,979,606,999,217,334,651,021,686,831,895,698,825,366,686,717,201,283,706,
648,895,482,351,886,463,606,393,081,384,846,582,851,169,621,645,692,415,938,
556,615,192,964,534,572,943,080,963,317,733,246,804,205,252,581,331,852,790,
119,637,143,419,087,620,520,854,348,907,154,622,661,953,480,315,317,092,670,
541,762,564,599,464,309,021,268,365,689,925,976,435,077,029,292,371,946,958,
967,125,481,358,579,137,759,428,613,707,010,776,872,741,196,406,656,839,281,
356,971,104,807,780,388,577,129,532,946,250,110,588,908,054,035,177,917,642,
100,929,826,193,269,895,378,779,433,851,648,694,898,839,866,371,454,110,833,
090,050,677,371,821,481,464,709,180,921,465,854,823,723,077,153,317,384,337,
697,217,593,397,229,706,747,100,393,536,130,414,334,692,293,795,898,708,625,
983,944,572,851,125,075,874,160,614,105,137,717,527,618,653,914,538,027,286,
896,844,313,092,119,784,889,040,976,449,365,224,497,094,632,257,354,903,078,
299,426,861,333,917,789,219,598,996,285,168,017,202,181,903,836,234,455,529,
559,909,806,397,648,520,972,532,337,890,814,451,762,921,957,319,104,924,794,
968,886,688,203,779,081,084,279,679,854,992,352,228,891,272,811,243,123,430,
033,274,082,353,129,193,105,536,408,101,437,312,879,444,252,398,936,910,902,
088,583,564,316,614,632,009,046,538,888,006,700,533,938,225,374,257,345,302,
194,179,223,142,102,784,420,020,286,242,355,496,611,478,994,876,636,942,415,
877,635,131,651,569,608,227,414,446,842,901,271,005,787,987,054,502,561,455,
891,836,384,930,644,956,819,526,518,696,275,457,450,294,209,344,240,763,054,
487,927,305,943,603,726,459,491,215,809,733,142,313,283,916,436,034,602,253,
506,510,758,898,654,822,242,282,883,982,976,860,675,074,869,224,139,467,615,
256,990,067,163,399,993,351,746,328,555,813,080,951,634,939,479,755,722,736,
646,818,695,139,690,647,448,826,095,318,476,331,273,202,732,651,026,974,158,
395,777,632,173,959,506,983,833,765,612,723,372,664,969,550,748,538,610,524,
679,277,395,466,354,375,054,719,920,578,648,544,790,175,195,495,214,014,688,
075,375,952,233,520,022,408,345,589,475,111,020,662,687,260,086,778,401,233,
607,450,796,417,789,476,505,982,130,930,645,677,496,446,088,538,197,562,450,
485,610,240,057,779,364,367,124,866,559,458,954,277,966,327,210,660,819,473,
778,818,916,255,700,783,592,615,179,528,718,364,404,471,359,164,919,939,920,
945,830,860,066,606,544,616,708,724,276,904,496,678,724,670,380,843,137,479,
799,693,513,963,334,538,740,318,438,380,206,056,210,137,032,796,160,366,368,
980,473,114,763,836,388,168,672,666,772,098,206,754,236,781,839,788,993,898,
580,468,484,549,875,890,503,496,124,961,213,160,082,407,344,831,051,109,503,
087,818,272,859,111,380,325,562,329,201,384,916,568,544,729,560,750,392,864,
960,806,670,029,037,671,720,057,098,949,070,297,960,191,566,215,120,354,512,
662,499,733,114,072,394,637,844,106,414,364,950,238,753,589,259,105,891,162,
473,690,659,855,949,243,527,390,676,157,472,765,704,779,612,825,650,811,896,
931,345,356,349,236,246,875,337,091,221,648,918,534,748,399,966,812,038,126,
771,408,394,744,319,557,909,097,052,521,979,133,654,893,056,911,060,815,108,
047,353,699,797,283,342,629,879,726,518,427,828,280,885,600,266,628,302,241,
188,087,002,781,340,643,359,425,349,621,506,076,564,093,129,658,920,958,131,
768,773,462,238,144,688,339,386,265,899,224,084,352,303,926,000,373,283,583,
967,246,614,018,736,610,327,177,748,876,520,679,049,259,584,544,000,462,893,
042,325,479,507,636,809,077,775,047,594,026,660,914,662,640,925,296,781,317,
275,207,216,405,244,437,265,179,165,348,525,059,676,431,286,870,343,381,276,
561,233,997,630,243,731,524,838,881,774,408,658,213,753,911,915,886,432,368,
838,981,166,984,573,501,977,135,753,687,943,275,423,382,736,820,500,990,088,
191,356,733,315,804,936,448,391,652,783,720,039,115,971,762,215,094,033,655,
251,964,856,266,015,101,130,445,540,829,029,840,852,663,511,560,364,777,902,
125,661,885,685,742,478,520,403,876,137,418,257,638,396,298,024,805,435,924,
971,000,477,440,295,170,727,450,203,563,090,224,219,710,508,043,404,967,710,
543,290,369,124,049,100,416,975,754,164,625,819,044,809,213,605,403,956,426,
837,737,019,361,162,398,209,369,174,283,856,491,519,889,473,235,682,793,961,
278,138,421,455,520,896,234,669,276,253,071,255,681,044,321,424,658,971,825,
330,522,137,131,763,587,706,253,531,636,830,138,044,717,732,557,541,427,620,
874,196,072,599,510,589,777,090,006,623,001,044,078,249,276,232,793,972,566,
523,720,174,531,462,458,342,603,574,648,627,764,440,538,975,503,649,978,698,
561,393,063,792,546,673,532,181,738,950,644,700,511,589,261,969,877,232,232,
727,960,861,714,704,620,564,152,316,285,906,786,280,594,234,653,352,781,192,
218,397,704,011,464,719,461,646,380,871,502,525,680,392,689,985,738,110,922,
631,973,782,123,294,006,074,989,957,724,793,961,095,044,984,863,808,103,858,
639,270,224,815,067,699,830,820,197,962,757,225,904,094,826,180,363,534,098,
099,553,685,220,976,792,927,815,819,049,742,031,352,565,779,442,549,098,896,
431,205,810,236,561,621,218,849,011,118,234,974,059,604,094,064,031,178,570,
294,415,426,853,661,983,432,864,864,960,674,480,648,246,527,034,197,242,669,
591,811,625,977,278,714,457,442,776,608,393,512,448,688,410,134,775,775,072,
879,954,617,435,443,693,701,299,953,455,715,370,977,324,957,769,436,441,800,
453,783,733,841,365,403,348,753,228,941,389,748,516,815,395,557,527,370,365,
117,401,910,776,620,232,915,620,042,646,148,307,146,324,991,303,539,089,730,
213,405,777,376,936,725,897,035,176,713,342,641,623,950,587,395,941,312,788,
829,482,572,281,064,810,924,935,973,345,092,252,358,454,677,424,535,339,461,
444,712,267,426,471,629,150,512,911,412,439,287,848,082,008,418,984,782,049,
978,894,673,561,396,767,368,599,610,630,979,896,313,828,497,732,892,007,824,
349,278,306,007,014,225,677,247,574,476,646,490,437,910,427,484,155,212,151,
630,458,802,886,243,358,653,390,052,273,758,247,153,849,248,691,072,331,046,
077,563,252,604,597,821,151,731,230,487,386,058,867,251,707,641,429,170,406,
840,312,949,091,312,805,007,241,505,067,629,845,000,390,163,681,854,304,853,
971,679,319,874,972,641,640,228,958,562,266,929,393,199,230,575,334,025,775,
239,435,877,788,652,829,638,717,854,404,861,060,934,042,168,221,026,287,712,
917,705,500,146,944,341,135,003,783,093,079,938,355,301,651,943,839,231,418,
384,550,406,964,025,262,339,448,155,437,388,718,201,214,667,623,708,019,747,
460,024,858,576,279,935,795,248,524,260,089,847,561,609,209,970,520,517,287,
644,464,424,117,240,736,459,268,482,513,019,754,335,510,934,736,613,509,311,
336,358,335,652,281,268,651,261,844,424,587,418,417,213,301,769,796,286,559,
644,130,452,943,575,241,338,631,260,610,789,319,288,473,230,853,114,857,507,
230,241,150,577,550,177,176,455,344,943,259,095,353,621,684,028,001,656,419,
139,884,232,879,132,719,328,147,127,914,474,484,935,855,407,136,466,179,865,
092,266,515,315,459,506,356,624,804,308,758,240,432,231,347,198,944,472,647,
249,344,679,317,149,097,223,015,771,884,837,031,594,677,182,860,173,269,592,
750,426,742,495,994,375,054,227,984,436,494,733,730,378,381,528,027,706,427,
890,207,978,638,731,159,068,534,167,400,816,638,017,222,678,474,152,501,984,
495,875,429,792,077,887,445,419,661,848,707,198,267,081,096,472,626,590,563,
623,103,500,467,069,455,980,259,242,585,392,547,022,103,369,291,582,779,727,
218,033,220,117,845,504,298,941,694,684,684,964,390,041,897,862,565,456,321,
508,226,673,127,100,552,635,823,862,801,682,216,659,143,713,732,117,829,603,
738,690,611,172,666,242,191,115,657,127,053,833,253,210,257,473,275,771,135,
362,247,951,071,157,762,189,836,361,373,752,883,979,510,833,441,193,605,292,
000,196,170,083,306,169,164,316,738,414,549,317,407,415,054,329,928,297,865,
897,797,986,324,764,152,910,306,094,411,933,706,971,048,130,397,573,259,690,
229,553,417,544,788,565,209,195,194,659,340,290,836,463,918,552,374,021,852,
491,767,725,900,740,641,628,526,224,739,704,103,217,531,971,994,092,172,945,
158,945,294,749,926,446,116,649,140,985,385,818,473,901,991,633,980,816,466,
596,077,898,560,836,928,169,013,427,448,756,085,084,700,035,371,641,356,169,
887,083,332,131,552,517,251,239,398,695,029,686,916,040,961,568,509,209,647,
012,782,805,393,975,055,162,966,019,859,265,978,009,839,759,954,555,212,060,
241,833,766,567,063,385,415,948,106,481,683,069,897,169,339,025,352,634,866,
645,234,640,123,991,963,451,344,406,950,243,178,929,788,668,494,359,608,309,
486,174,898,762,313,713,831,470,149,293,001,481,251,806,834,993,040,121,059,
711,756,872,949,932,067,836,226,018,490,280,382,181,315,508,667,095,970,949,
616,300,186,481,750,267,269,001,924,530,296,866,206,655,558,091,147,617,339,
134,127,269,879,090,100,341,405,538,874,881,361,662,289,010,042,759,321,945,
719,123,066,170,032,850,611,301,186,581,051,153,580,546,797,688,333,713,649,
148,867,048,563,671,842,858,483,362,354,655,283,527,832,697,735,591,505,440,
379,667,098,412,773,480,334,018,344,221,287,123,588,773,953,508,927,041,873,
996,592,207,794,645,291,684,330,663,356,139,357,052,956,522,290,742,719,168,
856,066,976,278,105,734,547,720,253,065,958,221,234,517,624,330,842,311,748,
792,309,173,045,665,555,157,557,443,524,114,370,483,234,412,048,166,940,168,
638,145,743,549,339,707,887,637,615,768,937,627,626,641,679,626,963,021,065,
437,041,391,640,438,388,847,345,967,728,223,034,932,479,049,152,514,013,060,
574,865,224,243,267,087,905,449,805,307,596,519,166,268,538,526,610,038,472,
065,246,936,559,101,267,972,227,006,393,113,341,840,340,490,364,661,970,330,
097,022,161,340,260,540,206,401,977,926,006,458,423,547,833,752,098,759,464,
113,871,315,147,687,867,451,603,443,712,901,329,652,482,441,289,362,546,062,
571,964,242,417,588,912,429,911,144,024,335,455,970,036,722,175,524,463,512,
314,364,804,555,844,104,600,356,905,589,309,741,946,946,897,782,908,940,958,
094,251,847,041,180,745,664,506,307,925,139,062,544,877,158,118,718,933,617,
721,232,677,257,957,344,221,071,096,088,157,705,714,881,118,894,954,459,759,
848,717,846,059,075,002,137,078,105,232,300,033,378,331,730,547,601,773,350,
223,815,538,287,848,321,647,510,630,723,142,535,887,735,407,002,155,379,174,
147,620,628,088,813,096,492,622,610,151,686,290,277,464,812,637,515,381,307,
355,366,535,687,298,049,983,333,603,571,925,626,192,712,876,049,811,234,699,
003,797,511,017,620,686,689,851,803,435,688,670,359,544,878,059,260,737,379,
780,812,559,425,143,578,933,263,514,218,552,028,940,357,407,535,993,585,395,
103,611,119,709,381,583,269,098,190,278,941,595,160,317,703,497,682,402,537,
430,452,789,951,416,222,628,545,838,075,694,418,005,490,680,024,815,533,796,
403,052,632,272,149,806,350,965,650,197,379,803,310,619,000,012,760,613,038,
412,893,245,882,922,460,208,435,107,193,692,789,308,971,608,030,284,754,972,
995,179,833,903,361,265,760,521,742,046,855,831,839,743,338,591,513,423,247,
612,966,649,928,441,842,601,241,371,926,007,845,793,381,567,021,497,076,589,
993,195,385,171,231,901,642,350,821,862,429,129,418,085,018,449,510,815,958,
616,940,449,095,005,957,875,262,140,017,121,402,068,879,265,918,138,592,184,
163,094,155,382,557,525,825,464,009,605,315,891,725,533,007,246,851,659,827,
666,511,085,127,222,122,161,243,541,725,020,183,646,479,935,389,130,728,232,
764,434,549,009,931,448,469,474,039,772,180,156,762,548,607,270,463,772,737,
866,004,803,878,202,533,392,460,053,773,413,924,487,024,039,913,773,577,279,
705,558,197,220,554,558,280,818,152,952,635,912,749,558,669,114,888,662,947,
083,508,840,389,525,215,739,976,245,452,327,298,579,807,242,695,382,065,869,
702,061,872,806,925,369,446,008,920,169,127,038,521,171,499,516,010,267,392,
689,776,240,847,881,754,105,042,139,584,174,671,179,515,921,686,227,090,982,
217,718,212,111,606,161,187,464,641,265,664,694,892,076,948,976,443,582,210,
235,468,464,365,910,616,715,662,236,939,497,530,424,911,368,263,888,162,711,
026,749,316,372,390,981,633,620,665,367,078,091,210,700,156,154,920,114,089,
123,959,090,146,505,112,177,140,104,443,145,701,396,751,099,272,274,276,219,
681,384,351,559,662,862,458,873,054,457,981,599,752,528,414,464,263,002,066,
611,832,561,486,264,419,468,112,630,049,517,323,945,074,171,895,565,503,834,
484,144,422,527,368,878,308,366,690,531,956,934,942,996,179,273,509,178,700,
995,010,602,395,537,314,081,273,335,827,231,154,972,253,193,834,181,309,122,
844,008,994,532,930,063,964,433,351,928,433,483,732,144,892,623,243,908,084,
542,802,611,914,836,362,276,913,242,283,381,841,960,875,519,353,214,687,780,
865,553,302,806,657,870,914,631,027,468,435,394,892,564,304,024,340,071,369,
570,722,581,309,506,608,429,226,053,778,360,175,421,751,610,668,255,312,260,
315,100,074,482,021,293,903,071,447,258,630,875,290,990,959,661,395,107,850,
632,922,226,886,017,442,997,232,548,526,737,834,746,235,030,184,921,145,939,
658,273,752,379,503,367,960,663,241,593,137,408,653,725,882,442,456,488,138,
592,496,903,417,148,591,316,359,863,462,699,975,507,383,607,387,297,093,356,
447,193,505,988,707,898,337,942,260,317,069,206,601,174,845,714,412,344,865,
587,273,523,768,294,854,501,049,088,409,281,781,242,695,526,696,605,024,919,
274,198,116,866,881,820,698,352,671,181,734,302,422,092,297,395,391,362,969,
349,010,679,607,049,995,459,446,316,187,381,198,827,810,487,186,836,533,159,
365,184,857,136,706,118,556,646,295,606,543,261,816,898,475,128,372,490,260,
558,731,534,217,405,485,679,519,460,771,745,687,981,962,623,442,510,557,463,
024,131,282,213,803,884,307,221,828,826,920,881,432,380,539,009,252,245,355,
242,985,165,776,034,454,618,692,432,460,914,778,898,260,307,558,030,468,814,
391,994,043,701,436,220,980,141,765,968,247,234,278,272,697,386,688,300,088,
877,822,403,445,973,703,682,293,198,033,195,827,939,959,351,391,125,037,516,
585,372,005,749,252,633,937,449,384,506,090,302,762,071,188,116,932,474,760,
201,671,447,830,238,888,733,816,607,821,824,411,264,334,317,981,494,775,402,
425,866,553,993,396,118,268,459,216,074,434,338,608,934,397,310,560,982,696,
628,736,830,325,390,778,966,418,167,901,419,721,003,024,208,230,545,530,690,
184,329,218,134,646,663,169,055,866,390,944,330,623,919,426,024,107,337,849,
339,046,926,885,309,397,392,596,317,258,482,963,766,447,742,794,713,702,615,
065,580,833,979,141,914,873,195,821,072,586,099,328,648,329,196,570,810,552,
285,418,753,108,425,836,212,296,282,294,257,378,348,659,264,510,021,354,473,
481,452,492,650,837,478,894,994,190,509,444,578,382,965,808,827,920,904,685,
589,397,955,502,136,468,775,548,396,722,379,653,605,906,275,875,508,513,208,
196,917,575,341,353,980,301,177,929,651,575,711,094,080,409,577,359,786,075,
115,271,053,437,720,525,466,654,782,524,387,584,093,931,268,451,715,055,492,
160,980,148,750,850,679,191,511,609,231,686,689,018,471,502,824,943,157,430,
377,798,396,604,668,629,647,309,441,324,149,579,887,461,533,781,430,960,715,
270,802,961,729,886,335,545,831,409,973,528,919,870,180,096,682,940,618,992,
508,307,272,483,250,999,859,502,861,164,290,889,788,422,178,241,704,016,959,
868,275,516,108,777,564,922,676,189,996,039,569,038,929,422,686,499,361,096,
663,037,778,270,274,984,225,053,415,682,596,898,452,696,189,996,044,254,833,
893,062,415,487,237,473,163,467,545,101,005,927,735,185,907,333,101,138,326,
286,231,518,374,380,648,688,867,226,125,393,069,099,445,682,226,234,859,281,
946,581,458,627,680,539,002,016,362,676,576,718,188,255,182,835,982,994,229,
028,377,594,020,517,949,070,536,018,745,193,906,589,570,524,262,244,172,961,
235,982,307,421,847,984,289,798,542,763,090,125,944,124,875,910,260,526,271,
708,887,664,058,117,227,139,530,008,160,299,437,520,341,560,124,491,233,122,
831,128,270,468,209,665,752,304,825,923,505,623,821,967,365,798,195,972,288,
603,816,089,097,516,704,963,146,781,780,482,478,218,424,872,924,679,681,562,
415,932,975,711,087,313,362,328,508,670,845,010,039,866,338,536,099,474,816,
110,161,168,695,778,534,190,083,195,808,814,108,743,293,352,889,991,035,286,
718,157,082,831,200,809,114,416,089,537,458,422,461,547,263,667,536,539,630,
698,372,661,684,578,925,354,277,008,861,851,017,691,039,496,278,322,385,729,
229,122,716,760,546,235,197,401,059,312,755,831,984,477,178,942,640,235,431,
419,315,813,142,712,412,442,918,180,598,958,299,628,617,983,893,228,975,517,
379,151,322,302,316,152,240,372,646,718,297,791,858,758,240,405,957,539,099,
767,496,504,585,299,275,226,777,917,604,962,663,409,766,583,240,895,851,548,
887,840,575,906,551,364,994,147,879,901,742,351,503,465,791,752,431,446,642,
346,520,236,691,766,878,846,100,606,341,592,015,599,540,480,639,507,895,923,
737,446,324,342,821,335,585,152,237,507,815,764,131,087,261,721,603,556,220,
701,900,713,499,779,519,703,867,265,293,911,838,117,552,401,472,486,090,568,
626,519,775,923,574,807,098,286,940,220,442,780,710,923,041,307,047,549,386,
850,364,925,803,349,277,781,439,632,750,953,279,768,866,530,140,101,328,902,
162,456,185,572,392,108,287,196,490,566,944,389,279,119,347,615,793,327,272,
420,892,169,231,159,214,079,371,784,651,271,724,467,448,117,104,513,915,218,
923,990,735,893,609,052,095,892,180,774,974,936,439,192,217,676,974,997,439,
187,740,176,775,800,520,118,311,393,347,815,259,342,964,294,217,203,238,244,
098,671,003,920,264,064,354,198,413,199,846,038,177,714,033,069,976,477,544,
376,217,345,876,937,289,238,866,062,480,693,562,121,449,670,725,052,610,240,
020,729,654,530,250,735,386,907,017,650,822,331,264,352,778,374,988,231,640,
039,192,056,933,817,345,366,577,585,699,623,101,572,471,627,344,423,388,689,
427,885,591,293,704,063,909,241,928,356,107,032,818,360,631,983,105,457,640,
981,551,569,449,166,510,018,938,399,130,839,663,222,773,998,438,649,572,405,
637,987,652,836,211,823,340,718,852,038,018,800,455,344,619,010,282,802,907,
460,081,740,270,033,292,608,083,677,005,326,582,393,202,332,546,980,674,045,
585,486,459,011,440,045,670,950,693,673,212,095,169,566,055,752,133,577,087,
551,099,165,069,958,000,650,487,453,125,873,332,969,900,672,402,720,216,511,
640,036,553,762,938,305,096,381,934,813,231,256,177,040,606,916,390,006,030,
342,203,895,998,051,164,801,119,033,479,261,046,433,745,878,044,407,399,621,
763,318,884,100,456,771,380,886,971,769,359,483,848,743,169,386,433,523,175,
306,369,727,487,241,111,281,515,118,572,355,518,385,472,879,749,106,804,093,
383,655,659,352,969,900,051,236,217,391,732,552,286,926,054,275,753,279,021,
693,645,492,998,111,883,050,994,903,082,465,223,013,693,764,367,642,037,963,
438,340,534,126,176,999,246,290,282,677,739,467,765,259,420,637,366,195,456,
985,371,235,058,351,244,559,985,290,745,897,892,538,510,678,493,420,156,586,
312,939,279,228,057,691,576,145,556,841,292,760,571,861,319,715,512,466,694,
719,490,850,407,591,534,984,552,119,141,694,690,480,058,842,302,874,495,930,
624,414,930,468,066,044,340,696,530,727,373,601,584,409,409,220,765,121,782,
540,298,238,526,577,866,207,949,192,965,678,932,478,773,040,621,213,198,520,
940,836,519,549,477,645,874,373,738,228,163,826,160,559,977,698,073,567,650,
824,222,010,775,597,040,159,639,399,508,616,360,374,347,601,500,467,518,177,
354,269,197,528,563,462,345,687,232,286,161,186,924,955,472,889,071,743,807,
118,965,014,354,504,163,485,669,112,859,469,711,375,035,121,802,319,543,589,
302,488,872,330,209,660,079,303,212,231,400,645,743,634,503,179,332,438,018,
112,291,819,460,637,460,021,570,313,070,287,247,704,624,020,669,540,258,465,
059,297,765,118,579,326,422,077,836,752,128,206,664,915,778,140,493,715,161,
571,976,489,487,439,555,254,794,332,303,965,311,740,505,443,400,096,519,382,
130,792,118,302,764,178,983,810,185,647,668,234,540,696,715,621,727,396,547,
850,744,154,160,799,369,886,604,340,085,465,078,178,934,501,855,093,106,416,
525,729,577,950,894,932,477,456,920,112,962,345,492,326,406,860,092,712,793,
330,594,219,210,786,619,755,386,510,756,779,448,683,085,105,587,189,611,904,
063,930,338,036,860,816,568,006,287,220,948,034,599,309,403,210,904,720,484,
985,114,029,985,418,182,892,672,887,920,474,203,997,170,826,426,691,027,107,
267,310,061,488,262,694,931,402,087,839,029,536,807,062,098,898,184,091,960,
160,139,239,419,611,339,657,443,289,537,340,305,184,178,060,573,882,746,607,
779,817,188,744,906,950,306,992,637,059,555,543,445,905,829,365,612,386,425,
379,775,348,121,248,184,323,029,214,697,718,637,684,331,390,922,206,443,306,
434,689,643,024,721,404,087,076,159,285,636,898,510,678,477,198,182,498,875,
247,355,650,324,662,828,945,138,319,299,703,344,053,262,157,236,113,429,095,
220,404,426,051,894,413,426,856,693,759,490,852,434,050,559,091,934,057,979,
524,165,641,210,661,858,938,027,856,284,480,112,905,707,450,056,080,882,406,
829,184,656,572,368,697,267,061,787,592,119,283,821,506,905,245,414,536,880,
012,875,732,071,259,671,355,171,996,155,319,834,682,617,035,652,360,126,890,
392,141,205,035,831,234,467,225,749,247,078,420,041,590,147,139,399,171,891,
364,893,403,308,895,875,369,991,302,236,605,049,344,894,263,828,583,182,268,
865,912,085,671,837,490,274,329,063,209,772,358,042,325,869,155,617,870,180,
125,850,157,110,616,814,749,370,105,390,466,193,467,868,926,649,269,888,242,
638,340,826,357,235,934,148,691,362,955,939,134,664,610,215,090,470,132,386,
930,054,235,007,800,020,548,073,694,600,159,310,527,012,833,691,762,688,488,
103,811,208,027,305,466,916,433,790,385,723,046,699,950,969,749,519,383,823,
261,433,222,743,631,632,386,399,085,632,373,105,116,615,033,638,828,364,474,
468,266,451,762,610,691,488,078,806,379,595,953,716,442,290,593,176,551,186,
680,583,664,203,169,142,311,473,523,853,728,574,870,330,223,435,947,102,100,
325,246,258,883,017,027,785,486,719,557,611,412,209,885,187,501,496,866,642,
729,815,903,372,110,310,957,973,192,665,483,532,005,817,843,925,569,413,782,
252,551,273,733,201,485,047,520,567,861,798,236,558,831,997,477,230,136,368,
853,397,734,588,255,225,814,302,725,798,394,837,847,330,247,330,178,671,643,
736,573,168,086,453,422,237,332,670,501,366,552,550,241,457,793,563,665,155,
748,656,164,213,259,144,679,310,578,519,983,403,791,071,766,532,686,028,239,
546,204,843,259,753,045,748,000,590,331,840,774,988,341,575,165,501,512,237,
356,487,164,860,573,658,068,458,644,559,109,951,506,359,792,794,346,338,473,
426,298,362,695,788,940,858,571,534,374,294,680,782,015,591,335,808,988,336,
437,637,079,330,148,102,202,744,319,641,767,544,819,292,140,160,672,132,331,
411,337,490,347,631,827,668,672,516,388,994,690,155,249,973,656,387,587,254,
816,274,023,915,131,615,611,594,365,853,291,257,387,499,319,417,886,571,071,
982,694,321,418,731,106,290,244,854,406,942,171,331,156,655,565,148,158,964,
737,682,511,241,039,716,931,433,084,031,750,898,687,466,278,199,000,599,044,
234,032,563,343,148,529,696,552,828,906,201,957,077,900,500,031,198,538,978,
322,379,132,256,946,782,450,046,477,079,117,814,459,567,948,460,677,094,138,
661,685,496,206,639,389,547,066,107,408,742,317,202,577,296,939,986,515,919,
364,536,281,679,149,318,172,405,629,913,370,110,070,359,344,619,094,325,851,
570,826,220,796,618,563,682,636,153,629,795,423,448,238,146,496,070,189,876,
705,281,575,930,410,977,987,481,528,905,482,752,982,222,006,404,948,764,445,
913,612,313,419,325,484,431,044,154,596,927,792,239,010,168,969,665,800,982,
543,873,423,509,175,253,744,905,896,992,613,450,328,866,283,471,782,282,391,
913,384,611,540,485,040,076,806,053,436,144,355,197,153,998,923,771,657,821,
760,487,077,506,167,482,352,197,313,885,187,922,711,984,081,776,771,518,430,
350,374,328,182,322,929,088,615,955,447,172,925,581,864,718,285,389,519,697,
114,800,570,985,062,918,189,272,597,851,720,027,957,909,535,302,704,840,891,
823,093,559,318,895,018,346,805,299,057,032,689,233,470,479,694,303,384,844,
982,885,563,482,800,875,844,528,538,777,634,048,397,831,283,538,391,255,350,
825,163,223,988,598,241,666,893,427,486,038,436,861,732,262,839,395,674,528,
936,658,490,869,893,482,192,789,213,648,582,448,192,653,363,855,193,980,630,
223,964,540,008,090,909,006,963,555,996,639,552,548,122,450,079,770,013,041,
788,353,365,268,383,713,583,605,867,528,274,595,456,314,474,393,179,238,142,
330,568,146,517,531,463,368,225,237,593,158,362,689,676,347,337,851,409,408,
886,758,186,447,172,898,607,341,940,477,380,311,593,405,105,789,487,795,731,
252,028,612,602,946,405,442,255,799,498,501,728,108,067,286,957,389,764,861,
491,759,048,501,597,891,931,567,940,254,250,461,613,212,683,715,144,237,392,
228,866,077,919,840,594,485,187,142,815,316,535,681,579,228,381,233,645,809,
405,705,569,827,634,279,173,529,368,229,834,047,025,227,922,349,584,807,807,
018,389,213,631,704,249,074,526,574,416,129,866,011,577,398,046,414,023,666,
629,929,335,078,581,882,531,612,556,942,637,621,725,530,040,640,932,256,282,
163,830,039,345,801,531,933,726,630,913,367,564,185,577,000,440,120,722,443,
154,341,309,850,973,800,718,034,613,032,982,929,590,213,817,542,827,187,362,
221,820,052,429,589,581,357,745,347,018,952,140,048,591,075,374,841,352,355,
868,028,873,883,759,084,951,682,258,962,760,461,918,182,923,457,582,438,838,
738,309,788,673,587,426,261,959,481,511,899,862,104,640,246,444,480,563,289,
456,270,286,533,111,979,523,485,393,621,452,225,066,975,840,843,258,917,775,
738,529,982,491,479,049,332,678,788,847,489,912,038,365,031,962,276,664,819,
939,040,127,693,742,837,130,823,609,094,640,711,803,225,673,908,753,832,589,
007,596,916,543,881,995,195,739,781,470,073,434,619,274,009,530,776,734,270,
482,701,011,516,306,509,933,010,152,487,519,986,878,407,982,832,124,370,466,
451,391,907,991,675,390,412,548,719,607,962,588,653,175,905,821,865,492,770,
434,232,620,188,062,766,143,559,523,560,576,658,107,410,825,964,153,052,244,
432,335,355,491,458,626,208,550,866,885,067,573,197,236,243,988,112,290,646,
716,869,072,944,293,814,243,289,296,457,738,332,993,520,723,965,324,952,456,
558,317,885,185,619,893,148,552,218,504,003,248,507,082,869,727,449,534,256,
273,192,156,684,246,319,263,631,706,741,807,636,611,417,194,007,740,934,226,
136,175,679,189,630,556,487,827,340,841,131,519,688,241,359,237,535,586,429,
884,383,522,513,074,880,047,807,824,061,715,287,873,837,703,736,723,021,229,
898,761,576,493,340,834,322,530,039,059,543,983,427,813,164,333,220,738,134,
350,136,939,432,866,898,537,658,183,514,120,026,311,081,856,446,086,619,465,
871,343,613,940,743,680,313,483,802,568,345,776,058,364,907,773,442,223,572,
055,889,936,621,250,014,774,475,185,989,991,957,966,790,552,825,667,263,477,
444,991,616,272,494,729,952,045,416,484,513,733,084,829,993,769,775,880,852,
301,169,220,563,584,926,480,793,184,590,342,377,985,390,039,747,417,567,234,
758,042,566,143,425,170,017,051,213,930,418,394,564,512,313,803,925,291,225,
079,595,481,685,016,804,381,095,500,727,357,220,920,861,624,327,090,994,174,
680,539,502,127,391,471,870,240,121,943,748,458,591,767,029,362,715,345,274,
587,281,295,278,941,196,806,860,075,929,962,406,264,858,423,287,586,711,849,
715,459,759,119,304,110,646,220,240,336,266,397,446,935,495,087,483,377,767,
035,678,926,596,021,393,296,898,787,559,017,957,756,264,433,428,576,529,698,
218,648,207,857,704,837,405,513,395,840,551,827,866,526,577,295,617,448,573,
613,906,647,128,194,683,817,468,041,597,369,367,017,398,450,190,879,853,254,
856,986,958,599,482,113,927,086,039,431,059,357,443,951,478,211,654,667,020,
776,633,452,150,304,388,174,209,339,759,682,858,539,792,525,111,083,988,902,
891,859,578,865,335,156,824,228,679,461,750,543,386,842,423,077,023,133,679,
303,457,464,713,103,890,081,494,786,967,169,708,361,831,710,617,386,193,701,
122,840,928,542,758,641,227,643,079,093,018,893,718,595,547,898,149,382,040,
541,437,559,623,099,725,569,927,410,854,660,398,911,227,586,709,649,254,188,
157,763,051,541,376,189,293,268,848,721,764,988,784,317,965,702,904,782,442,
035,992,951,563,385,711,828,164,281,060,041,850,763,364,421,690,563,648,427,
331,638,858,910,122,563,506,453,281,701,337,336,531,333,057,220,803,283,764,
523,104,677,587,997,460,660,929,107,854,446,106,272,950,324,680,047,261,500,
153,967,102,385,254,698,910,554,548,666,652,208,994,972,140,148,548,945,436,
470,363,697,276,531,058,304,402,684,131,226,094,338,261,723,980,269,314,238,
831,244,007,115,786,114,332,423,216,425,113,943,494,267,326,666,831,139,981,
528,406,971,083,194,459,371,409,991,694,014,544,992,033,951,231,818,831,307,
206,776,286,201,812,886,628,495,354,687,736,857,443,756,732,040,072,192,172,
477,276,169,091,245,830,622,349,521,781,607,235,542,526,327,759,566,588,400,
828,265,037,950,707,734,028,340,466,389,703,005,869,818,187,490,322,986,525,
970,926,601,339,943,786,481,814,561,908,070,469,640,666,764,221,203,711,601,
353,121,106,484,330,242,672,242,055,233,058,588,838,443,123,797,444,565,720,
416,616,398,176,760,297,005,733,289,782,461,777,385,090,936,529,987,995,953,
000,140,271,592,404,659,688,998,170,067,845,407,646,416,707,487,972,383,995,
549,415,499,839,045,568,287,238,621,985,521,650,682,643,156,215,022,597,608,
744,499,324,429,301,163,643,175,642,240,541,582,388,628,997,097,281,289,156,
165,456,082,671,406,649,255,046,194,392,769,756,368,137,162,312,592,154,058,
410,430,571,021,975,214,850,733,931,047,093,281,869,725,425,664,656,543,479,
095,346,829,594,855,729,943,885,218,961,890,599,645,621,550,507,441,402,930,
959,656,509,865,987,377,670,960,322,110,320,406,983,669,782,946,581,023,328,
444,027,500,927,119,395,957,358,582,967,543,844,591,830,826,513,037,141,182,
387,522,033,205,994,470,928,799,311,085,988,898,493,506,348,537,378,847,588,
917,410,674,925,919,103,483,574,954,222,099,477,083,368,557,015,457,167,547,
077,515,046,982,394,690,883,000,161,478,641,530,845,567,766,851,539,209,787,
819,958,644,867,306,861,494,208,298,285,506,395,673,751,919,166,724,623,540,
274,745,204,289,284,185,737,201,727,709,129,611,873,726,377,930,024,246,446,
886,788,624,411,078,623,512,087,138,776,657,808,733,831,824,060,733,312,890,
591,094,069,211,418,062,127,190,179,743,524,644,211,357,540,733,426,477,608,
980,896,224,516,602,669,503,765,380,829,139,479,900,609,811,104,746,157,056,
022,439,105,437,757,745,553,710,010,816,026,054,289,343,273,272,935,719,389,
548,499,296,102,601,415,579,145,759,400,992,719,463,911,504,826,863,789,928,
268,135,973,604,416,919,158,384,414,342,711,789,611,944,734,730,477,663,411,
511,646,790,128,954,725,398,922,071,057,493,017,329,637,527,065,877,637,805,
528,568,387,422,543,543,065,634,778,388,914,346,060,789,350,413,566,509,397,
146,563,481,893,800,304,570,422,840,805,424,766,984,849,327,717,981,628,642,
289,901,954,292,497,258,323,301,985,813,687,419,860,563,528,849,010,675,895,
752,122,948,031,819,612,360,569,429,808,873,987,262,672,131,959,371,151,897,
934,659,961,712,046,200,643,616,670,338,140,574,346,017,166,739,831,459,712,
324,050,554,127,533,137,281,056,751,824,487,879,301,173,770,888,420,690,832,
384,772,728,026,330,217,129,710,452,705,596,752,802,906,921,698,996,698,534,
781,375,734,181,391,294,863,662,922,061,053,194,820,874,129,846,740,537,686,
137,337,351,207,967,991,084,146,085,596,972,968,867,151,643,321,138,507,587,
655,011,129,668,124,449,326,672,332,525,536,072,983,509,484,022,996,695,451,
546,366,359,842,620,606,851,316,520,490,068,149,827,599,027,541,921,160,491,
446,178,677,670,681,837,427,494,608,478,922,780,664,180,509,382,028,216,006,
595,418,664,133,905,611,216,299,345,456,203,797,132,119,272,446,737,659,627,
454,753,222,263,925,846,192,116,323,876,545,700,432,149,213,959,333,295,705,
805,883,191,987,483,741,437,923,027,772,698,210,533,706,783,377,176,507,416,
569,422,585,111,541,205,887,853,394,503,071,372,821,546,811,139,792,313,006,
049,188,565,232,951,926,827,600,849,461,126,901,693,000,629,624,964,428,726,
088,865,537,226,081,084,459,159,829,246,751,540,913,243,044,103,174,918,964,
362,090,755,916,253,484,769,610,838,351,611,978,708,406,168,719,714,931,940,
766,081,223,437,207,590,400,719,750,916,738,932,176,942,424,082,172,056,463,
610,773,736,307,775,115,604,895,988,930,887,696,349,882,857,323,361,330,211,
302,121,669,705,812,488,443,069,193,793,697,568,349,438,252,024,732,856,923,
441,112,182,581,999,167,243,944,622,877,276,293,436,647,091,491,528,054,525,
647,962,706,501,245,436,952,983,851,231,696,875,972,518,093,017,627,216,404,
759,345,936,161,808,816,457,572,274,068,948,866,731,857,982,476,921,752,173,
554,117,445,003,561,203,713,396,957,001,921,439,342,105,247,197,313,154,994,
500,626,445,345,027,793,491,708,557,597,252,344,253,838,938,313,383,811,580,
100,531,048,915,223,598,679,396,231,752,732,494,811,777,099,476,928,071,398,
214,606,813,270,628,899,751,431,485,385,184,248,538,352,251,220,797,023,555,
710,764,577,188,793,396,802,572,219,275,052,687,823,498,189,334,119,543,762,
304,127,876,847,277,738,916,443,767,572,064,026,294,925,559,680,313,877,484,
744,197,761,350,104,298,106,742,623,879,121,608,132,321,152,882,935,553,870,
961,150,157,457,933,128,107,333,127,312,808,270,762,438,650,149,432,614,218,
826,964,082,785,391,686,697,154,830,191,077,864,112,792,236,403,639,337,550,
968,321,623,940,532,390,968,843,625,918,515,062,617,845,913,515,170,596,481,
632,350,108,283,145,813,668,926,875,425,041,236,847,014,242,451,738,957,052,
589,442,726,052,243,013,880,077,250,700,629,616,629,808,583,715,868,234,138,
858,017,449,355,025,483,962,817,748,742,787,297,490,006,847,502,661,024,828,
797,438,228,519,918,062,078,554,984,499,418,243,234,368,308,228,680,554,863,
395,105,628,759,079,642,418,181,430,655,253,769,963,704,263,703,413,650,492,
129,586,539,705,265,145,096,628,099,833,631,466,323,362,076,896,799,877,519,
662,938,951,300,333,099,593,832,357,471,704,056,001,038,969,897,533,063,671,
611,857,342,369,310,437,089,295,922,918,691,805,482,234,169,074,954,761,456,
934,829,443,817,818,095,290,780,547,907,555,647,021,275,905,495,577,129,237,
957,477,704,906,578,529,502,254,985,067,764,910,960,414,333,485,594,124,488,
393,352,568,103,796,708,960,453,618,544,633,369,561,568,906,986,932,070,300,
006,495,866,449,185,346,838,352,696,709,852,343,913,663,400,034,052,155,687,
854,887,435,701,947,899,212,755,566,220,289,567,277,421,675,544,982,441,794,
679,456,301,518,284,671,632,472,160,984,624,373,154,130,518,708,868,295,668,
101,656,638,617,048,260,197,329,067,117,593,071,034,234,041,846,303,924,388,
336,984,846,690,900,217,146,810,269,058,704,860,848,603,589,040,898,506,779,
459,177,910,268,454,074,619,371,481,245,742,808,509,784,487,225,794,518,151,
198,783,119,513,242,851,102,330,258,156,846,379,738,531,959,762,618,256,428,
059,181,960,932,821,187,571,415,800,551,382,005,891,910,315,830,938,620,533,
994,178,202,803,113,488,719,361,686,375,929,574,532,688,747,948,915,749,478,
303,807,960,242,537,339,861,142,406,966,321,015,011,199,001,228,038,422,111,
172,142,721,108,867,378,021,164,432,404,976,954,866,735,485,622,699,335,480,
138,480,685,526,752,538,476,886,006,709,299,862,453,323,486,982,600,626,271,
223,777,505,337,472,272,486,775,809,534,587,470,350,156,535,672,258,745,226,
316,676,062,631,522,181,797,018,182,238,655,755,586,049,277,525,676,374,119,
161,464,168,119,506,050,541,150,042,044,216,165,334,674,550,410,512,445,071,
851,504,605,859,520,936,506,473,508,284,213,955,087,178,422,050,531,755,294,
587,921,973,889,334,987,290,018,794,035,652,066,104,617,368,189,601,805,458,
924,424,768,445,565,413,664,671,149,509,437,495,348,770,060,805,606,951,501,
922,871,486,522,759,006,625,101,945,595,691,861,282,330,196,633,397,767,793,
718,784,609,373,938,578,687,869,112,627,625,585,564,235,177,478,180,526,559,
644,293,843,773,618,803,690,135,427,873,925,981,342,697,395,271,034,584,248,
454,521,458,950,173,321,940,392,132,186,938,719,660,876,152,088,461,893,832,
064,989,963,898,044,071,074,446,205,924,286,789,074,106,967,906,678,813,816,
272,329,296,090,156,463,656,422,700,630,622,095,093,560,848,940,728,863,878,
388,677,813,588,691,704,345,021,434,881,654,145,745,806,289,834,327,021,762,
253,251,078,839,968,501,433,378,753,728,762,376,176,631,431,039,170,425,809,
853,196,362,630,099,912,074,857,181,027,864,620,251,483,693,994,743,243,633,
363,323,131,388,960,300,334,148,585,316,843,198,067,464,404,409,272,189,807,
343,628,756,698,622,885,846,399,723,968,287,804,452,248,013,032,409,363,955,
951,426,730,936,213,109,837,729,082,032,674,680,641,671,192,360,293,441,810,
287,006,352,048,585,782,690,932,175,417,317,005,249,534,125,582,450,964,596,
992,485,113,103,837,381,034,608,011,180,367,577,133,984,015,180,673,728,723,
502,074,589,456,659,015,283,193,472,539,795,707,222,640,197,645,616,350,610,
947,632,030,572,666,461,654,075,470,868,329,265,247,422,828,747,641,422,993,
957,824,023,822,992,574,441,573,005,687,534,693,220,942,576,996,818,647,328,
029,322,121,126,204,952,720,103,257,612,119,477,395,378,631,617,655,666,095,
626,971,293,960,897,700,962,499,619,287,544,076,499,026,425,450,576,092,969,
872,959,453,822,099,432,260,408,108,005,348,293,839,018,785,735,201,810,201,
740,433,583,015,867,454,507,555,516,444,939,812,105,036,764,320,380,403,546,
536,023,314,936,662,686,523,943,114,059,208,513,026,714,681,332,450,310,125,
079,891,047,547,021,473,119,868,132,886,934,651,613,023,054,146,540,767,591,
070,852,165,395,337,832,076,635,835,140,593,487,646,367,642,035,451,429,048,
837,397,255,434,863,762,362,518,361,405,047,328,761,496,314,153,842,688,417,
671,810,912,817,631,382,301,809,969,126,338,904,161,158,377,609,735,270,635,
379,748,935,297,048,514,625,465,162,954,608,978,773,237,723,224,423,987,488,
629,027,465,792,308,178,821,069,144,099,008,951,326,432,114,512,292,129,452,
300,541,328,329,265,617,585,771,462,599,845,420,828,089,716,880,834,074,038,
213,972,869,219,186,187,472,218,509,369,440,753,537,163,360,269,411,734,759,
481,693,528,549,819,351,288,791,479,747,892,326,425,195,784,026,681,694,476,
611,453,453,932,449,417,428,426,903,894,691,877,382,398,260,177,230,093,797,
417,559,051,916,613,353,845,470,152,323,848,400,543,134,982,808,890,476,255,
372,048,745,149,056,974,560,657,586,851,491,985,967,368,615,807,192,985,464,
268,764,792,001,436,098,956,276,815,600,823,225,896,532,282,102,827,241,630,
991,194,434,672,348,512,725,451,383,886,056,953,475,032,005,154,239,456,181,
135,348,186,562,588,743,888,271,794,414,552,488,171,021,407,207,844,918,056,
453,066,909,156,853,051,673,263,903,587,540,759,592,887,159,799,721,782,124,
164,979,108,992,707,292,569,763,578,071,187,022,475,258,579,529,322,808,485,
807,140,154,004,477,076,063,268,760,519,877,431,147,449,518,556,390,999,313,
695,418,642,419,222,382,479,473,509,373,751,739,331,869,164,863,547,345,446,
171,201,942,904,524,240,102,397,893,960,076,322,115,801,009,949,262,200,298,
727,953,455,834,554,209,938,872,992,485,565,525,657,681,772,697,995,775,657,
756,815,928,174,660,270,329,727,665,200,984,424,790,171,751,385,924,455,045,
891,137,902,701,614,107,046,538,943,828,968,508,702,902,358,266,361,050,103,
323,352,420,354,748,459,539,820,307,913,810,218,651,903,882,238,585,342,680,
946,405,051,428,353,613,053,183,847,877,607,202,429,789,987,418,680,080,479,
888,199,915,556,656,886,088,909,665,435,418,787,875,397,619,179,376,449,853,
682,182,028,083,532,497,200,185,510,187,703,076,955,735,678,883,940,664,389,
876,382,999,209,786,032,038,533,625,268,380,946,524,893,604,463,860,246,250,
416,377,132,606,428,421,126,738,623,239,005,939,362,670,234,400,570,984,064,
536,375,441,724,265,394,972,040,201,103,348,588,893,496,045,708,196,039,386,
907,576,776,317,546,310,806,031,208,646,797,013,387,308,864,254,915,853,545,
791,446,419,361,063,256,038,095,919,206,945,768,284,121,605,900,118,190,657,
592,546,084,993,231,786,397,110,429,708,024,776,407,334,958,534,453,200,112,
486,553,156,546,689,627,645,900,822,448,875,486,543,271,207,934,129,619,738,
150,273,842,608,985,350,687,623,723,030,086,424,268,952,429,101,278,286,337,
664,139,367,970,784,616,351,275,841,770,642,049,980,611,371,671,820,474,839,
402,385,052,123,600,471,470,513,482,368,433,481,090,638,730,894,494,043,708,
420,832,831,079,511,532,626,498,208,844,497,587,004,835,639,581,264,552,454,
691,930,938,282,648,407,129,453,507,541,782,926,382,527,248,441,382,647,618,
970,828,586,984,357,615,082,381,044,749,739,041,421,191,441,104,662,672,682,
225,691,694,914,198,122,274,155,367,631,453,232,703,144,768,747,564,794,641,
319,969,634,426,731,708,565,963,187,754,976,165,413,907,330,394,578,666,717,
034,113,284,526,127,494,629,411,533,585,954,985,054,765,986,541,342,576,994,
283,240,825,439,287,699,413,566,925,327,069,300,194,865,270,666,027,823,212,
895,827,877,161,065,531,413,038,056,798,526,884,642,586,479,717,872,077,599,
810,550,690,008,319,787,333,364,990,552,036,662,111,791,187,299,990,283,232,
732,942,651,266,150,362,247,325,387,574,747,520,751,295,416,409,762,685,506,
923,798,697,667,211,821,624,043,692,215,396,684,789,799,169,235,321,335,645,
687,006,158,261,312,458,926,431,529,620,793,300,264,972,585,375,576,742,300,
745,908,925,766,074,592,084,027,213,627,305,871,222,622,319,962,058,295,610,
378,580,323,845,626,065,650,012,361,912,011,106,673,782,822,868,010,716,416,
046,898,529,602,288,029,414,114,607,878,357,570,432,859,201,986,475,283,186,
764,232,152,003,171,992,281,856,527,135,395,071,178,270,814,366,544,407,497,
042,883,977,402,372,567,796,324,520,811,369,423,789,080,224,648,754,873,816,
545,715,898,749,505,096,748,098,835,046,687,550,047,933,943,301,272,351,070,
310,306,562,905,983,161,566,551,275,423,844,373,951,964,646,094,990,632,781,
123,290,087,780,278,292,628,973,668,332,348,778,401,541,028,516,078,172,027,
880,275,751,449,762,411,117,495,923,411,200,252,668,439,344,023,655,630,519,
578,574,786,723,636,265,752,129,076,418,527,213,329,879,150,330,384,190,903,
574,188,197,536,473,108,190,730,779,107,680,469,556,086,548,967,601,585,064,
471,771,394,550,030,448,059,082,203,172,192,228,858,364,660,560,775,756,978,
651,565,284,944,436,631,395,449,240,857,020,055,779,377,549,968,576,996,016,
383,772,825,432,967,409,476,716,984,388,000,695,811,393,204,212,839,786,234,
126,622,699,070,722,952,476,647,288,938,259,496,203,168,317,999,649,040,070,
687,881,247,531,464,492,120,388,783,579,315,060,818,585,437,605,980,947,477,
530,909,193,343,665,353,521,147,873,081,903,037,088,935,420,420,103,772,329,
792,612,299,384,891,088,417,600,654,174,121,075,773,960,268,557,803,762,620,
985,966,034,724,639,983,424,200,778,979,497,070,507,840,175,183,084,385,435,
674,599,528,516,084,584,967,556,086,463,038,558,995,329,085,714,460,708,090,
723,510,155,108,256,543,329,854,462,445,864,948,352,922,668,288,280,299,948,
215,607,106,666,194,678,321,576,880,442,632,330,135,118,138,598,013,720,478,
487,930,548,876,013,111,375,149,410,883,588,687,868,706,927,693,211,762,297,
943,995,929,773,894,138,460,206,359,781,273,318,991,142,978,666,229,490,621,
940,347,654,391,224,738,318,852,311,384,584,081,274,254,908,423,981,397,139,
041,667,913,805,397,144,341,147,080,111,173,367,887,108,096,887,355,556,806,
935,124,491,900,099,488,686,588,495,643,392,447,705,857,467,692,482,942,816,
934,083,809,281,997,929,279,212,152,946,456,960,457,970,638,733,152,789,242,
785,618,204,970,336,715,593,232,755,651,822,561,195,526,334,195,140,993,091,
120,611,763,164,451,025,038,420,837,720,784,924,795,275,150,648,232,673,255,
118,214,350,036,553,753,847,269,700,740,908,372,828,699,945,302,799,988,456,
705,484,852,122,511,332,868,559,328,621,478,583,018,651,943,884,677,288,739,
694,392,391,061,301,594,150,416,311,581,547,284,950,586,331,685,117,925,711,
180,926,065,401,111,006,989,827,055,797,210,012,464,191,708,464,201,895,271,
335,994,278,083,267,176,436,191,634,486,819,939,134,207,806,868,476,203,215,
829,733,197,015,165,765,883,042,085,566,159,610,060,438,237,778,788,508,929,
456,078,950,752,448,636,062,215,215,288,256,661,490,481,358,761,754,415,935,
522,790,584,648,185,739,043,991,861,366,822,455,770,799,746,366,769,322,256,
294,077,543,915,803,948,677,177,828,290,858,391,690,093,975,925,373,385,269,
622,594,528,780,747,250,592,144,078,868,015,683,758,823,956,519,113,337,512,
142,860,116,205,167,134,244,605,569,378,958,060,106,002,774,318,992,367,114,
838,778,720,312,930,888,967,302,777,604,938,177,083,020,837,558,801,324,985,
542,958,354,134,504,654,501,533,926,933,260,374,896,746,239,527,235,483,135,
992,634,219,363,227,929,257,305,435,546,678,059,191,699,108,607,753,875,523,
753,826,352,442,055,246,391,491,879,663,703,410,325,585,482,928,718,900,760,
354,587,610,965,123,344,733,487,454,397,909,248,283,960,123,081,163,114,507,
430,107,062,921,953,620,398,379,807,112,469,206,650,448,882,973,137,095,189,
142,181,275,477,427,402,262,192,231,259,795,015,838,912,991,662,887,149,755,
036,717,877,121,844,130,340,658,970,759,078,556,103,369,100,591,677,713,959,
578,739,232,009,983,428,024,146,727,144,680,457,788,067,524,219,959,683,197,
714,245,017,313,766,175,103,676,243,945,683,141,083,739,177,172,778,054,211,
912,029,681,506,679,263,522,192,775,477,957,435,158,518,562,013,898,923,248,
702,897,729,357,078,828,888,703,545,230,052,481,324,735,598,828,398,828,217,
622,416,031,318,057,883,775,107,927,150,641,931,603,959,219,627,038,420,058,
457,289,589,133,166,179,657,549,283,358,240,269,437,025,715,731,544,192,193,
359,151,957,820,226,099,946,200,103,862,632,430,634,274,338,858,927,223,339,
173,600,587,262,871,871,464,052,302,157,722,723,212,310,624,545,074,216,827,
290,488,339,743,769,789,844,220,800,817,245,231,295,420,119,119,965,594,600,
835,749,695,323,088,765,323,827,994,288,979,152,994,674,044,198,176,164,299,
707,392,455,841,793,110,874,523,214,125,135,353,916,435,124,062,384,942,375,
750,023,558,380,938,009,161,175,564,038,591,109,245,587,796,522,785,661,796,
153,710,573,924,493,716,711,193,804,561,452,042,697,351,480,300,410,994,424,
440,678,970,328,099,798,860,649,742,750,896,382,213,597,520,616,406,786,975,
973,346,233,479,771,040,318,965,589,847,064,514,110,238,281,556,736,832,808,
950,227,575,360,882,722,660,755,104,886,375,964,414,447,866,667,356,165,855,
812,663,407,432,457,025,513,701,637,228,798,331,729,268,677,104,473,900,325,
618,929,927,795,286,826,312,092,581,041,310,683,449,338,836,063,932,989,948,
640,912,828,669,058,179,072,941,849,374,021,133,272,349,017,741,070,890,772,
603,647,943,088,427,887,313,816,196,976,204,078,373,843,026,085,747,641,241,
484,873,421,023,730,450,573,434,966,764,419,146,758,946,060,100,048,077,861,
519,000,005,172,870,234,600,718,269,778,716,177,720,682,564,034,677,132,174,
991,121,973,770,316,782,151,146,434,086,781,894,488,166,159,386,523,871,864,
375,208,722,928,237,355,816,245,110,138,498,223,544,251,683,967,107,617,527,
137,372,099,939,827,789,905,192,831,533,852,379,836,012,621,573,876,412,755,
051,432,805,848,302,112,705,062,628,468,295,431,158,993,064,804,598,225,286,
488,786,361,169,829,576,707,546,455,769,617,139,445,613,618,403,988,202,246,
797,660,023,456,303,244,956,566,676,575,409,991,778,043,212,024,617,778,784,
149,920,863,372,386,866,166,871,857,543,382,371,301,779,915,040,114,624,757,
636,838,856,286,153,838,585,307,251,732,665,487,576,243,917,625,305,074,893,
788,719,305,668,317,723,183,220,738,096,594,762,192,886,082,085,927,958,717,
205,819,497,320,892,990,792,843,318,249,693,121,243,953,733,448,584,083,147,
093,503,423,545,224,964,617,822,330,605,291,458,046,161,727,531,385,732,527,
658,848,049,391,780,217,590,074,584,898,301,578,678,301,984,911,563,979,042,
686,402,321,153,864,929,893,829,492,778,764,850,616,512,884,342,230,428,259,
799,807,744,505,254,688,244,024,837,521,300,864,815,184,179,599,526,557,405,
492,741,110,682,025,425,839,451,272,500,025,634,431,002,083,140,750,113,716,
017,404,926,114,999,281,589,147,144,140,351,869,864,691,507,166,115,277,896,
943,184,507,597,881,640,675,189,720,830,424,466,201,278,959,708,424,949,072,
472,653,660,917,846,586,696,362,546,746,463,780,805,391,474,300,663,037,537,
785,143,701,200,856,732,625,643,116,451,501,967,622,196,695,793,611,356,286,
135,661,248,469,502,723,822,875,980,140,896,213,916,827,538,399,202,945,925,
163,646,021,612,124,417,675,987,756,203,322,871,926,299,437,606,217,056,167,
358,321,844,177,376,828,946,377,631,548,792,655,528,859,459,718,826,840,287,
055,361,857,368,208,250,927,203,389,845,879,047,881,116,145,395,533,858,779,
802,347,950,478,942,089,672,258,853,026,159,708,900,880,989,226,728,426,647,
004,591,099,687,214,258,151,878,708,378,436,066,915,638,199,612,271,820,513,
900,138,416,995,731,360,775,819,414,755,488,741,087,585,559,441,160,513,476,
152,699,999,473,196,094,156,056,403,357,571,711,152,423,842,370,056,703,295,
664,988,248,807,295,329,776,954,276,645,840,515,926,795,941,302,990,681,449,
798,919,354,856,729,932,424,121,686,425,639,348,628,616,284,151,929,389,090,
816,738,305,412,468,090,589,960,508,317,006,235,792,277,488,939,326,699,476,
739,922,680,445,690,079,869,372,418,444,149,591,673,760,783,180,813,023,178,
878,061,687,695,996,910,360,661,057,093,730,293,074,602,922,309,847,718,451,
083,061,853,917,209,645,489,001,840,257,976,243,522,292,641,753,367,948,245,
530,712,907,207,860,249,084,689,471,013,622,710,378,559,391,488,639,277,427,
624,571,537,275,923,102,463,062,966,748,946,139,372,996,554,884,784,864,120,
015,314,065,648,541,859,468,038,132,782,864,999,927,122,298,077,090,216,987,
023,734,435,687,201,384,592,019,797,257,260,633,056,047,324,982,005,984,952,
967,737,535,870,617,084,999,011,106,789,490,792,695,789,813,741,040,486,129,
350,136,263,524,777,431,802,423,747,217,459,377,091,618,950,742,032,295,753,
184,794,485,790,042,392,642,227,173,389,709,607,231,483,923,726,653,550,827,
590,135,500,599,573,528,988,144,294,678,998,231,178,658,084,682,100,377,685,
223,435,927,722,332,718,638,464,419,377,639,893,411,948,034,738,757,921,983,
052,999,820,452,793,044,813,066,115,906,476,844,263,112,913,670,269,137,595,
863,092,180,718,191,966,735,816,177,200,071,288,813,080,179,876,227,121,081,
479,981,789,153,176,218,656,964,544,166,377,644,597,144,230,367,521,852,959,
869,811,234,714,782,024,513,701,336,291,387,061,637,030,665,689,629,045,783,
413,670,667,697,414,840,464,979,455,370,863,559,215,657,567,608,569,992,286,
889,259,184,076,032,682,468,097,440,124,307,187,218,586,815,857,199,136,287,
713,720,512,807,060,205,329,136,580,270,395,061,038,836,797,424,436,233,613,
944,183,216,352,203,807,496,884,270,233,836,621,437,659,484,985,188,792,046,
870,292,144,875,735,987,827,060,128,833,291,631,931,542,271,051,777,611,828,
966,105,130,169,548,176,291,847,692,957,615,832,284,489,130,123,163,079,914,
881,909,594,229,812,304,746,612,938,877,359,103,054,004,393,743,641,163,709,
412,377,978,786,775,246,546,234,211,356,026,899,749,121,761,267,725,298,016,
276,559,546,366,651,704,471,783,914,798,792,199,107,207,175,427,392,931,296,
129,192,032,943,254,602,327,182,372,947,489,543,239,833,270,337,840,036,995,
097,242,415,038,491,788,702,674,757,247,706,779,901,823,265,628,128,400,771,
563,792,106,665,352,369,560,789,422,082,889,786,813,440,066,343,201,252,834,
372,497,118,474,753,726,146,509,410,758,165,369,956,202,461,296,902,863,159,
699,325,233,456,499,086,358,911,394,740,320,687,229,689,528,988,798,948,219,
974,618,601,177,902,141,436,032,708,730,577,543,873,227,818,619,378,151,700,
422,308,203,940,825,047,669,906,728,776,589,583,520,047,097,393,348,272,847,
143,830,221,191,915,426,123,835,447,401,195,973,872,981,721,777,916,744,434,
620,136,027,983,669,730,624,295,373,437,229,030,400,188,309,496,927,215,405,
272,225,384,275,592,438,569,295,866,523,338,791,196,437,578,949,980,080,089,
300,566,369,420,939,906,986,151,049,594,287,296,621,402,064,232,789,411,327,
025,351,514,777,039,411,373,320,878,632,737,184,287,611,929,329,936,149,527,
907,371,291,190,215,833,506,744,592,083,788,564,012,323,425,094,476,324,369,
170,218,636,071,688,567,077,776,422,227,097,472,014,054,118,019,434,846,545,
766,813,629,109,712,857,427,251,265,197,468,894,407,411,456,969,096,049,888,
488,886,127,189,395,592,123,324,278,178,455,827,219,177,067,834,469,014,754,
407,741,405,495,577,841,807,210,330,489,297,208,922,560,659,745,393,563,403,
968,261,134,064,430,926,227,699,422,087,010,276,782,135,254,826,698,084,805,
817,897,208,409,542,990,868,919,271,232,054,792,563,256,249,004,050,667,450,
147,472,980,685,719,363,220,380,617,157,904,881,461,762,976,547,700,034,662,
123,415,458,487,469,950,272,861,210,624,521,149,103,734,467,951,357,788,726,
333,491,788,634,464,550,160,883,789,798,902,123,744,478,353,810,036,775,598,
921,177,756,789,844,213,320,610,241,792,506,843,986,474,800,038,978,190,422,
439,276,032,738,294,067,557,265,014,799,260,650,771,716,195,608,264,355,012,
930,987,677,212,965,666,395,589,945,064,215,012,063,475,658,132,190,539,224,
334,749,300,028,239,721,829,406,381,978,685,709,206,700,590,525,533,028,809,
631,344,365,635,076,499,545,680,408,730,650,244,088,976,580,158,211,976,137,
700,198,103,467,773,122,013,926,013,104,383,591,407,587,536,900,973,629,845,
485,970,378,991,939,027,982,375,119,172,415,782,723,816,784,084,825,943,367,
297,018,719,616,217,653,505,860,884,957,993,381,825,983,851,565,456,466,990,
649,965,850,602,827,969,140,257,769,434,441,362,802,780,802,420,980,836,434,
556,407,883,890,200,088,472,585,456,271,335,497,274,634,645,322,169,071,472,
354,468,156,241,510,616,853,164,722,634,659,062,172,701,550,906,352,125,497,
772,807,713,571,555,842,471,130,780,798,450,541,783,972,886,256,212,909,416,
210,751,465,475,915,733,496,962,884,829,119,569,080,156,470,846,896,038,831,
533,961,162,651,991,065,622,988,412,047,927,526,007,893,034,526,236,482,048,
843,213,259,170,858,196,187,605,965,468,487,314,217,928,012,962,989,530,020,
742,769,644,275,954,163,353,799,186,838,695,439,669,011,405,844,775,618,765,
201,152,418,420,736,147,039,953,126,605,624,548,854,674,877,385,480,170,785,
287,251,768,932,204,098,887,467,292,090,356,793,298,880,067,870,615,592,118,
204,071,255,033,469,942,682,669,581,171,667,984,814,367,443,595,233,884,953,
157,044,280,606,226,956,448,706,811,594,623,367,474,915,336,070,635,074,743,
503,429,624,012,492,719,161,686,099,210,683,633,541,735,021,111,170,836,458,
661,710,561,257,359,440,057,935,224,315,626,295,145,489,270,798,438,510,444,
592,012,101,242,853,226,217,011,773,855,538,152,445,725,711,389,083,586,736,
151,935,910,874,669,018,909,124,049,754,741,285,641,761,877,557,280,144,939,
600,421,200,193,749,813,282,369,536,010,281,798,758,016,223,560,544,410,607,
295,702,970,212,509,996,512,065,041,089,920,499,171,517,821,582,623,406,972,
423,365,310,049,035,741,168,645,939,288,337,190,766,711,958,759,396,252,055,
000,468,906,183,184,413,086,624,712,575,876,074,729,502,557,401,088,992,639,
911,062,887,119,968,239,997,606,332,011,774,628,822,253,717,656,223,522,915,
313,345,683,190,134,894,052,897,576,440,542,330,929,520,313,380,053,514,523,
927,999,188,919,426,962,721,566,295,960,090,715,364,734,931,093,008,836,710,
135,655,192,930,830,254,618,509,177,288,973,571,663,718,532,558,717,567,509,
894,476,595,292,768,231,315,100,502,093,222,642,456,695,894,181,305,266,616,
310,657,603,433,560,373,809,683,444,929,084,723,722,378,965,908,948,577,235,
414,187,044,834,616,188,108,574,757,542,357,464,044,501,487,037,709,386,257,
153,926,198,787,673,268,458,965,947,275,682,995,865,528,442,497,759,923,508,
437,020,126,531,940,497,573,980,138,740,758,938,167,790,691,574,861,619,541,
026,495,674,460,442,935,747,723,909,711,180,030,259,769,208,072,768,383,882,
085,150,719,928,213,017,838,522,738,507,307,628,697,928,631,731,791,968,533,
125,578,111,570,237,359,186,972,043,887,855,752,894,581,934,429,092,785,658,
500,603,156,441,814,323,524,097,279,192,239,751,975,447,590,862,481,944,585,
191,068,183,454,461,293,400,890,725,207,806,011,705,082,917,287,469,021,200,
408,947,864,653,426,371,258,319,655,807,959,133,146,407,974,020,221,453,512,
275,347,142,031,012,988,869,556,783,766,789,734,295,078,754,745,000,761,899,
912,279,308,845,624,140,967,711,715,879,614,232,910,643,123,502,590,088,048,
698,472,017,936,780,115,279,162,435,538,964,382,288,713,549,611,170,369,537,
710,285,263,480,296,349,055,097,524,903,901,730,592,602,386,340,026,814,104,
118,174,508,686,445,703,684,894,199,018,000,743,365,626,528,707,087,788,200,
663,229,617,165,517,094,931,520,230,682,002,463,074,858,029,945,135,424,866,
747,849,808,815,769,639,020,767,463,563,580,128,702,281,782,675,918,376,176,
919,265,035,596,954,755,290,679,089,037,896,129,738,640,895,241,755,671,197,
155,471,621,264,282,503,479,143,168,024,627,065,377,516,499,202,773,650,429,
412,155,647,601,157,098,015,280,351,194,014,869,894,204,468,750,596,783,606,
841,153,599,563,331,805,354,724,276,310,962,763,245,803,736,555,550,197,722,
791,811,267,681,899,184,675,096,086,690,945,333,238,498,077,063,478,897,053,
313,935,334,549,508,022,179,799,222,366,423,998,816,980,857,188,809,245,429,
281,388,355,544,553,675,464,693,301,858,650,261,658,260,627,713,628,994,260,
664,607,770,633,666,665,990,657,122,072,647,902,130,317,262,502,919,969,909,
903,914,818,538,651,934,061,898,623,062,694,851,780,442,050,515,609,250,033,
757,024,149,570,977,956,197,917,181,984,332,069,470,802,204,924,602,196,341,
428,262,154,218,726,027,164,485,516,110,178,356,073,292,889,726,314,187,384,
721,539,054,606,664,270,065,347,190,987,455,145,423,126,106,237,229,168,451,
826,385,194,916,754,460,360,253,479,863,881,745,881,682,756,219,373,776,654,
817,305,946,412,523,628,857,422,483,181,609,942,926,986,062,138,902,048,752,
449,825,014,375,452,277,619,765,628,897,580,703,348,507,624,056,329,179,446,
382,347,275,459,487,077,976,590,860,861,133,918,185,446,352,809,264,782,720,
621,460,785,129,771,054,545,187,464,339,083,213,264,655,153,897,697,250,066,
288,176,125,407,359,922,117,419,294,540,960,154,918,093,300,312,352,315,918,
286,631,876,547,750,097,590,889,118,224,341,396,410,858,864,754,496,979,441,
446,631,982,639,351,730,588,669,064,321,152,369,042,501,403,405,967,522,929,
684,700,812,632,037,851,313,065,189,265,409,154,545,077,470,615,984,231,568,
625,516,496,391,990,056,855,562,772,103,645,081,997,187,495,937,688,480,753,
632,513,400,926,719,644,595,741,070,962,912,073,751,471,949,401,324,388,205,
404,977,954,814,178,852,245,614,526,492,097,079,085,159,789,454,404,302,473,
954,910,556,232,459,927,523,456,749,722,587,330,149,621,729,363,773,066,456,
814,039,769,879,354,097,567,431,665,584,673,579,489,061,891,551,652,679,577,
412,361,503,935,384,334,594,795,088,548,268,700,430,000,710,153,396,658,642,
693,912,145,760,810,800,367,450,294,026,956,450,868,082,052,047,096,494,484,
515,034,242,605,837,479,569,605,591,339,613,079,744,341,503,652,479,916,806,
997,755,948,468,576,870,136,856,519,261,776,238,814,778,523,530,602,839,185,
502,824,234,124,216,210,628,799,397,799,510,071,857,599,643,858,969,114,875,
141,749,038,410,263,106,381,903,539,194,892,481,583,487,435,100,466,454,732,
245,951,206,461,104,955,992,677,565,754,361,036,555,567,492,662,066,762,681,
541,902,666,708,468,929,796,203,688,652,183,239,309,681,530,745,815,258,333,
914,984,429,902,047,703,572,904,790,875,014,008,224,528,593,373,234,513,876,
279,398,894,933,717,027,101,430,484,719,878,562,591,921,996,801,860,426,632,
740,280,808,760,778,639,045,941,460,161,107,376,610,709,528,530,100,205,107,
392,212,217,522,342,418,677,728,814,524,389,673,568,960,760,935,039,148,215,
177,593,982,712,447,742,400,861,142,642,477,721,216,156,499,849,576,406,824,
157,393,009,496,700,144,690,883,530,910,530,680,137,085,742,547,522,225,191,
343,642,467,936,213,028,216,964,575,881,793,475,170,387,789,025,346,729,001,
039,163,856,455,379,220,942,138,673,822,452,482,497,058,586,741,857,932,415,
319,330,767,826,405,863,613,698,071,181,075,565,290,054,075,907,981,986,711,
294,420,629,625,699,021,615,499,291,286,618,261,400,577,095,646,501,642,081,
996,653,842,676,516,461,267,422,254,180,510,114,497,607,141,839,443,116,238,
835,411,687,825,810,601,957,345,483,704,780,062,195,744,861,881,369,829,473,
047,031,887,388,683,109,882,272,831,035,017,726,604,956,525,427,409,115,243,
771,783,414,563,987,091,112,034,968,889,874,256,617,797,219,625,128,157,192,
999,851,172,995,374,696,019,500,906,877,069,731,574,637,265,890,179,190,555,
774,400,085,023,854,014,385,095,667,425,059,540,939,677,418,305,318,128,028,
270,390,083,839,326,111,458,486,834,213,737,829,707,662,174,518,959,236,295,
512,897,082,957,705,130,930,557,271,447,112,081,105,897,383,852,306,060,005,
737,646,178,373,581,896,676,284,565,475,449,771,675,927,732,531,966,380,463,
236,710,467,265,358,299,175,951,832,674,937,747,408,239,429,473,040,086,850,
103,486,804,387,137,961,397,216,918,816,285,111,572,583,371,839,630,908,997,
963,882,591,330,602,667,703,025,478,864,250,157,623,010,402,872,393,036,174,
243,395,858,426,008,770,799,686,319,665,334,301,442,849,048,031,174,793,343,
370,918,582,552,845,720,917,238,838,696,282,637,936,623,533,336,839,136,140,
718,166,313,959,011,658,969,725,534,955,059,575,569,361,813,141,373,427,234,
482,643,914,959,255,309,220,946,706,323,509,084,421,218,886,916,135,490,496,
843,348,595,391,180,733,614,442,708,138,312,691,283,673,147,427,459,222,246,
011,468,746,656,580,508,766,540,601,568,113,928,033,734,013,150,256,776,768,
547,066,707,706,176,195,256,832,819,746,552,711,056,545,473,064,683,509,768,
806,544,848,198,781,346,950,645,047,917,263,382,108,229,327,967,202,042,845,
162,550,966,095,579,411,550,133,251,112,741,168,008,535,954,273,577,262,668,
825,545,407,880,708,628,474,620,692,401,956,742,147,853,705,855,951,093,779,
789,667,689,209,175,918,850,176,305,560,526,896,141,277,652,512,759,913,060,
372,586,742,915,806,517,744,488,746,496,026,142,754,253,474,866,576,860,904,
862,009,509,378,971,780,713,087,789,529,116,073,939,489,361,211,682,470,941,
044,559,105,378,781,437,806,185,129,510,815,541,014,068,924,116,029,417,393,
763,052,826,432,240,351,307,641,858,632,006,231,435,830,563,495,879,345,793,
031,230,440,133,252,744,613,776,452,652,512,266,955,375,297,978,269,947,128,
819,851,436,699,681,305,721,450,985,067,453,990,327,050,933,904,329,530,836,
521,272,389,424,933,728,648,808,345,025,257,876,120,204,587,506,073,044,480,
852,197,447,044,237,015,609,458,300,106,449,799,623,076,784,948,036,178,734,
322,966,420,410,572,054,797,374,622,764,722,427,758,287,196,492,421,356,639,
312,055,193,296,494,620,414,762,458,773,892,712,308,156,139,647,994,849,212,
564,248,356,951,017,358,530,434,829,218,663,601,864,130,895,075,462,131,605,
296,903,771,675,006,645,021,587,295,002,165,463,261,494,066,284,776,825,844,
816,100,685,483,881,184,514,890,824,410,850,320,753,517,152,590,356,280,158,
665,449,429,560,820,499,155,432,721,096,907,675,020,003,579,131,724,954,992,
308,464,283,289,184,372,695,214,322,776,390,994,843,698,533,632,229,873,339,
123,244,212,829,448,264,200,754,770,606,650,036,029,669,963,739,904,211,279,
341,193,350,664,507,374,869,486,627,586,165,140,175,468,975,388,839,048,224,
473,451,627,302,428,884,999,661,865,457,811,734,160,686,912,566,811,121,579,
607,429,690,234,452,966,848,827,972,731,306,494,706,335,732,659,633,407,543,
782,846,915,074,207,985,760,260,692,062,153,059,407,469,250,036,072,838,204,
821,404,003,045,502,015,069,678,956,400,611,597,359,278,420,019,284,805,416,
171,485,428,968,850,743,612,941,015,654,889,223,870,509,714,676,948,095,225,
946,131,662,777,180,077,882,000,680,203,382,085,366,644,314,445,012,899,316,
523,061,306,709,898,902,638,979,543,978,642,683,395,922,995,891,569,332,360,
041,432,600,771,614,390,651,251,326,615,763,643,013,301,812,873,747,485,784,
224,713,688,561,857,347,776,318,815,877,507,066,604,103,854,969,023,361,763,
148,614,854,989,307,092,087,109,731,691,196,718,197,382,217,931,037,924,182,
764,780,854,703,667,349,298,038,700,445,752,818,601,870,357,912,866,318,507,
807,102,748,311,801,396,556,619,026,966,597,456,383,240,860,799,846,380,751,
702,759,566,302,188,299,076,940,310,644,140,106,999,222,254,281,896,797,169,
163,165,566,034,625,997,446,412,514,373,723,602,366,025,558,135,376,317,216,
116,851,679,377,822,307,887,447,860,112,246,799,412,078,703,214,761,509,844,
504,472,931,485,935,049,343,164,210,139,731,449,202,475,169,070,067,007,162,
645,370,279,213,096,823,092,227,297,326,742,032,080,321,858,013,938,471,177,
217,333,045,294,544,697,350,905,263,421,473,914,862,321,938,106,500,575,316,
743,066,491,701,616,290,938,120,343,201,693,690,092,936,687,928,412,225,396,
606,837,747,994,538,595,945,343,585,294,570,302,526,042,579,568,349,828,268,
252,156,137,584,759,926,749,716,933,332,369,543,993,645,101,844,068,404,594,
677,796,485,637,818,253,891,562,296,617,135,423,242,917,816,048,761,547,201,
428,432,202,908,163,354,347,460,096,630,774,900,257,856,381,567,460,233,935,
280,533,442,230,656,558,835,468,357,075,749,634,937,071,802,435,699,489,922,
130,283,160,372,574,939,174,835,709,015,280,001,661,992,393,727,451,366,331,
174,692,768,214,020,122,596,321,017,387,059,715,789,141,733,217,833,935,315,
866,119,246,272,381,376,787,568,214,509,594,535,268,978,365,406,573,654,472,
835,738,236,739,406,445,967,629,333,655,351,507,252,265,062,036,178,964,698,
974,818,099,261,526,338,315,518,779,555,735,627,838,630,855,756,385,800,535,
207,174,029,187,877,127,592,673,665,991,766,635,996,071,052,100,618,253,627,
008,506,914,181,755,875,402,928,981,938,038,842,937,739,485,496,688,957,840,
852,428,892,468,703,464,107,893,009,909,235,719,923,648,327,321,237,700,742,
260,113,528,104,816,045,681,125,037,370,002,979,701,739,300,269,560,813,355,
725,650,140,764,367,535,461,776,523,263,067,911,688,961,235,012,784,691,862,
509,431,646,810,912,115,874,592,786,532,233,068,205,018,175,798,268,808,418,
856,259,633,704,160,215,120,717,789,793,401,887,329,985,715,302,457,253,553,
008,545,121,737,898,090,487,143,763,076,308,193,345,013,357,776,345,276,225,
316,316,199,538,038,844,479,101,594,105,952,341,399,905,722,507,342,316,270,
279,130,398,090,070,389,655,013,694,554,170,747,979,115,491,958,789,171,991,
125,434,397,225,073,514,807,633,791,314,661,561,880,326,161,077,833,802,140,
827,744,997,281,476,285,447,691,095,898,631,099,827,520,433,372,388,071,258,
394,741,344,387,487,455,804,483,243,435,572,166,390,325,339,859,653,375,483,
667,788,010,170,133,308,471,128,262,267,274,129,700,044,288,854,361,372,183,
670,422,773,096,176,875,099,319,159,852,829,672,607,920,482,940,899,893,163,
341,976,787,261,942,440,737,923,479,702,514,895,508,064,762,186,508,181,215,
433,228,430,080,595,750,135,890,285,761,191,884,446,870,317,326,008,208,227,
421,148,088,266,970,959,269,396,212,565,179,368,417,924,583,061,804,026,324,
504,255,371,003,134,881,245,191,792,107,566,055,963,763,864,645,049,413,155,
857,351,472,109,180,896,669,107,433,215,897,726,245,315,340,473,089,365,677,
899,748,100,147,604,268,537,638,315,299,364,708,977,036,578,158,638,554,588,
851,185,208,091,004,423,057,622,916,298,309,640,504,211,172,639,309,150,940,
673,955,264,660,413,798,690,918,283,770,045,488,641,574,501,396,831,782,633,
343,340,888,835,810,814,897,797,815,163,881,069,362,773,786,396,208,237,291,
626,037,771,233,878,935,728,110,047,304,458,094,415,496,586,578,203,700,844,
558,973,224,710,406,986,273,582,731,158,334,160,031,194,656,439,627,382,147,
430,206,786,515,615,184,697,996,091,144,474,730,298,463,982,967,184,400,526,
484,684,113,155,809,476,578,169,909,958,459,115,874,276,699,457,529,573,910,
028,461,911,659,331,576,604,422,549,840,148,286,296,616,501,491,570,897,688,
895,843,450,871,856,136,357,226,492,068,394,468,375,823,705,382,502,610,892,
457,676,605,742,696,497,939,459,056,301,344,302,077,983,562,424,080,133,227,
818,681,853,587,570,260,736,763,050,439,242,260,069,043,571,048,620,909,427,
093,168,031,984,554,261,582,755,752,965,785,079,796,287,738,080,003,818,772,
958,435,384,295,132,819,924,087,179,536,816,522,403,599,562,315,213,203,772,
245,903,322,104,449,518,763,305,369,875,591,396,695,661,081,303,662,303,280,
989,021,266,604,076,069,700,324,056,335,338,793,061,191,237,254,685,594,795,
493,654,603,847,778,650,018,369,471,191,000,919,569,553,219,880,738,679,009,
851,853,147,300,720,064,123,840,178,748,867,439,902,740,148,830,028,589,767,
646,446,712,302,255,098,647,606,112,679,919,834,553,365,516,113,181,893,150,
664,119,172,998,068,823,071,978,646,868,694,677,559,426,370,469,681,471,032,
117,693,114,216,806,143,597,615,394,365,694,787,790,266,507,511,532,415,364,
091,609,288,370,914,489,996,780,557,529,401,652,556,300,490,698,500,240,116,
653,665,230,794,046,248,794,194,464,760,102,363,765,451,314,008,029,016,851,
217,055,247,511,648,030,716,687,758,398,175,446,422,059,360,997,240,747,208,
142,646,507,699,900,631,726,980,992,029,646,617,461,175,504,200,725,404,472,
052,866,047,095,156,373,370,484,324,967,923,547,895,246,815,290,971,189,438,
081,463,481,715,536,120,166,426,960,006,049,770,768,274,920,398,466,441,371,
620,783,085,941,281,570,085,864,335,370,590,391,359,618,927,138,234,106,240,
897,280,795,164,693,977,742,349,346,053,623,886,926,561,589,446,804,584,614,
894,091,400,704,449,526,114,719,446,157,145,332,312,112,203,465,559,669,057,
169,140,685,868,582,739,138,788,506,522,304,537,055,402,197,172,739,776,635,
570,461,264,021,868,148,916,627,186,112,658,306,026,558,424,194,937,496,390,
734,531,297,955,345,811,544,153,355,917,740,949,993,247,399,389,353,552,225,
356,242,348,679,320,315,041,356,177,586,385,092,323,910,195,932,193,931,231,
293,484,687,972,397,276,331,908,050,995,313,855,613,088,428,943,607,407,183,
548,684,287,148,221,660,977,065,640,403,195,472,927,513,652,583,088,866,119,
410,129,484,366,654,526,571,475,421,373,020,944,040,837,872,475,627,475,568,
631,989,424,305,148,253,332,248,059,575,939,988,171,291,352,802,653,148,519,
855,890,616,488,712,869,252,025,161,241,767,280,805,899,157,487,765,913,278,
767,844,651,493,246,309,885,863,752,134,238,716,756,956,933,051,221,153,874,
530,179,331,742,942,795,030,860,876,145,947,105,627,035,878,814,268,096,042,
785,581,590,090,068,535,574,551,864,565,047,330,725,979,807,796,883,332,081,
602,582,468,242,991,732,912,116,508,408,626,793,729,012,431,207,215,731,006,
542,252,830,042,215,527,622,138,645,707,270,163,583,804,127,590,707,624,685,
737,983,868,928,454,656,016,954,658,796,025,349,858,172,296,100,043,418,802,
678,700,525,240,796,980,382,309,090,549,956,851,033,218,714,956,760,836,452,
799,083,149,773,930,517,479,552,306,850,438,539,297,383,413,027,131,658,929,
442,792,620,987,307,285,958,685,086,650,670,712,692,828,163,675,325,755,012,
416,898,936,075,475,048,070,548,652,935,963,174,512,838,115,610,575,102,190,
794,909,881,290,411,965,966,261,216,590,029,223,446,257,483,725,011,593,639,
550,755,130,019,066,800,449,604,707,210,616,775,466,392,827,396,161,970,302,
635,940,586,318,649,779,087,192,355,712,072,553,325,690,001,996,878,504,001,
940,327,672,439,477,675,576,282,043,060,893,061,011,413,027,315,737,128,031,
743,403,511,765,992,189,517,873,086,012,371,061,308,118,931,299,745,988,643,
124,902,708,307,049,301,997,253,972,358,813,573,706,950,344,766,773,688,853,
764,962,976,735,959,524,746,000,318,521,691,206,512,085,956,860,447,629,123,
533,195,457,802,041,097,820,120,015,565,304,996,832,116,873,147,151,739,554,
479,273,489,946,055,382,330,117,579,181,220,054,752,309,965,350,275,089,804,
112,190,994,127,084,980,854,146,793,399,533,861,957,352,767,989,002,181,469,
054,738,602,897,146,616,972,541,596,817,744,246,923,407,597,571,283,437,118,
681,801,260,046,513,970,037,274,556,685,110,901,814,573,932,121,358,189,181,
530,907,419,344,986,098,767,262,414,948,511,168,292,681,768,314,780,095,128,
188,952,103,519,836,657,199,728,486,038,456,643,191,176,961,121,796,006,426,
063,187,067,827,420,459,389,105,846,060,146,273,203,603,679,430,451,780,657,
418,614,027,535,010,590,721,183,442,489,137,988,950,226,076,467,836,509,815,
372,373,879,758,054,550,298,486,609,578,456,169,012,394,552,706,172,668,705,
920,951,436,859,288,128,252,126,978,296,091,686,163,175,011,380,797,588,956,
381,292,591,536,131,068,019,527,967,289,516,959,922,793,730,629,067,357,398,
487,641,353,509,565,601,878,193,089,846,886,429,534,058,458,542,028,839,465,
310,940,850,237,623,485,498,428,006,638,960,869,354,369,307,248,678,602,564,
882,254,027,184,090,314,799,574,045,128,580,304,090,089,219,655,031,305,193,
937,347,484,527,334,676,797,203,497,251,008,046,429,450,747,952,266,145,634,
466,972,937,981,162,012,974,848,512,503,073,008,451,767,360,180,268,873,357,
189,222,021,268,107,889,772,555,783,782,392,689,317,130,581,012,008,108,028,
933,716,205,183,834,937,300,627,945,629,818,635,969,533,258,809,312,082,953,
718,016,950,595,636,348,081,250,356,247,195,505,813,907,318,092,294,331,842,
816,686,862,086,823,951,184,535,929,026,279,792,341,815,217,927,990,856,137,
777,801,954,435,165,489,305,888,972,410,756,491,335,621,992,165,248,335,986,
686,741,803,715,931,491,670,465,280,688,187,732,746,502,533,141,523,736,092,
718,786,135,241,696,065,985,846,291,486,069,815,515,194,278,364,731,406,145,
445,917,734,389,243,424,119,696,900,170,059,675,393,078,311,928,050,088,760,
114,307,675,279,586,353,346,766,100,262,001,251,722,022,776,238,619,083,507,
174,878,607,086,150,375,131,627,576,096,715,315,367,088,090,585,774,763,421,
724,685,777,412,232,166,407,703,435,962,514,598,399,250,386,204,054,831,428,
702,204,611,690,647,983,987,907,647,824,828,233,721,280,243,250,123,884,908,
437,557,412,319,994,048,450,113,261,978,781,939,098,653,939,487,193,581,239,
329,456,293,297,963,056,213,328,507,976,244,258,582,725,294,507,132,496,625,
664,268,709,731,315,057,479,235,372,966,116,181,424,257,844,643,165,552,881,
641,732,537,786,734,962,849,060,614,138,482,651,984,245,651,056,555,652,188,
583,442,872,531,264,068,806,737,489,120,643,587,800,150,614,096,724,188,876,
370,726,819,077,161,206,433,707,880,134,154,107,721,832,179,877,522,718,386,
301,621,907,725,411,425,514,636,201,306,547,768,020,586,780,937,939,756,941,
620,663,638,049,700,096,437,460,626,498,157,009,590,762,250,653,173,351,234,
429,045,273,816,208,914,209,371,183,897,218,920,766,720,119,407,942,505,917,
921,721,656,729,943,003,078,341,734,294,981,231,284,147,079,181,333,850,117,
324,820,070,822,831,541,990,420,338,756,484,094,316,110,741,691,727,567,119,
277,971,089,244,214,387,852,188,323,556,767,560,281,511,360,191,118,094,450,
297,124,618,963,955,322,481,884,229,638,494,478,503,464,092,931,866,734,096,
906,390,453,081,269,417,510,228,672,793,703,507,596,621,965,221,711,538,348,
806,609,018,146,313,778,761,888,541,122,751,611,994,836,078,758,314,616,115,
522,457,999,343,247,475,825,769,353,237,226,039,726,239,381,969,693,918,051,
612,591,002,473,112,117,033,169,639,932,045,800,928,384,564,560,047,182,109,
758,321,427,131,283,270,719,331,055,000,166,729,165,464,494,207,124,241,436,
136,552,179,540,744,765,470,623,263,376,181,597,199,631,708,279,035,243,111,
387,092,473,585,639,735,008,936,705,150,057,356,854,710,988,672,001,428,886,
605,831,183,752,988,024,502,668,798,523,659,835,929,858,508,928,461,473,508,
046,729,946,785,882,180,205,207,715,544,332,285,789,341,295,697,862,888,177,
220,924,569,808,151,327,394,325,264,036,819,871,299,697,111,458,008,054,812,
354,218,018,903,207,642,504,397,510,873,285,190,428,344,872,665,514,142,760,
485,214,638,873,937,808,971,142,413,713,702,206,932,955,547,233,978,077,178,
156,940,797,213,990,565,509,542,724,670,349,253,995,132,643,768,780,929,223,
529,188,782,898,467,779,757,628,291,976,653,794,968,013,090,585,607,990,610,
103,288,306,870,524,087,779,427,094,063,187,834,637,807,874,127,685,382,449,
894,110,455,366,967,554,385,696,101,160,636,831,757,653,444,114,198,930,262,
828,971,088,781,497,151,144,612,988,826,858,312,438,086,186,802,020,413,545,
276,502,177,178,073,643,270,946,179,621,207,404,263,955,297,082,701,582,354,
727,793,660,213,914,507,583,052,470,349,355,797,702,304,390,201,849,172,742,
870,530,969,054,990,591,467,770,940,936,255,339,643,852,077,657,681,238,537,
918,898,301,336,109,285,091,181,568,890,223,122,397,899,359,665,810,881,214,
157,043,026,568,944,678,214,819,376,731,185,587,193,420,560,498,698,764,984,
254,990,222,946,165,247,032,860,052,949,544,054,997,569,342,305,856,137,842,
961,280,254,733,155,211,624,856,132,510,638,169,785,646,293,212,408,480,869,
831,667,522,455,444,339,725,461,789,097,408,002,797,502,080,567,769,217,839,
263,348,394,267,122,862,421,168,595,661,855,928,109,295,389,750,061,116,206,
717,918,746,807,387,107,976,864,110,813,947,786,523,463,339,014,649,222,278,
335,047,966,143,482,431,653,178,739,615,557,938,698,122,881,981,246,771,890,
462,610,779,653,104,527,782,947,004,378,068,155,350,800,314,956,934,782,071,
815,864,985,639,376,293,555,949,115,512,790,612,119,201,693,675,500,745,190,
960,264,639,013,026,340,024,202,519,436,814,933,696,206,732,611,605,109,275,
194,171,337,808,060,427,488,373,435,248,474,454,410,036,817,509,762,641,509,
653,826,965,780,941,355,637,678,911,186,332,378,684,469,636,453,557,000,187,
436,323,821,057,751,244,186,774,245,317,100,301,603,681,596,983,330,251,414,
025,043,990,101,310,467,771,742,969,027,474,441,520,203,627,558,033,458,956,
641,506,975,827,612,064,486,205,852,797,057,304,737,191,913,746,446,085,965,
947,293,313,056,250,675,040,589,421,339,489,140,206,496,884,591,723,958,942,
123,130,013,847,605,591,025,990,611,334,782,040,644,758,435,845,931,482,251,
309,339,739,336,098,788,485,872,298,997,305,905,900,918,926,352,602,660,102,
849,880,889,330,370,429,970,172,593,980,345,336,156,613,799,980,734,447,977,
497,982,947,823,360,198,214,397,725,062,825,068,881,125,505,832,951,611,573,
774,772,711,985,130,116,668,801,585,900,167,228,132,535,944,321,697,989,358,
988,335,342,606,494,763,436,673,442,394,424,888,288,386,554,884,604,174,094,
443,335,806,573,480,936,349,372,969,280,188,928,828,021,492,554,863,215,546,
698,710,074,788,733,216,975,335,400,473,998,001,819,088,561,673,216,852,881,
508,303,431,709,205,625,638,052,136,391,828,480,545,181,752,598,998,607,621,
252,880,128,989,399,587,976,463,063,355,821,100,316,061,390,831,874,664,203,
551,232,250,576,676,554,908,045,039,467,677,577,225,478,103,968,431,490,840,
761,524,522,843,194,722,042,333,764,910,502,531,855,813,040,752,291,475,421,
257,524,953,119,690,608,521,314,107,809,604,820,931,732,717,405,887,969,316,
070,845,250,962,140,351,015,281,247,932,326,769,410,679,846,530,752,202,451,
179,616,365,633,632,069,416,166,834,034,933,127,909,792,045,835,983,629,777,
865,184,263,837,178,849,392,320,116,225,487,495,113,331,249,956,856,491,284,
737,555,047,191,776,013,360,214,262,469,174,028,337,206,584,961,437,348,861,
391,191,668,420,821,827,775,156,659,128,911,083,942,640,352,690,230,418,616,
272,291,210,923,873,919,684,549,051,936,480,015,004,552,079,024,424,240,721,
656,187,921,336,538,615,006,924,429,241,615,545,935,447,253,065,642,312,301,
934,398,954,943,463,310,232,503,631,550,487,266,580,245,995,746,784,075,431,
726,883,448,860,975,159,148,756,147,580,385,644,896,304,315,275,824,558,075,
762,599,735,950,426,926,523,001,443,350,007,283,404,449,431,541,151,452,196,
186,540,128,941,050,317,980,563,808,206,246,372,033,465,563,374,611,669,434,
115,525,026,153,333,860,379,970,049,527,363,330,625,716,815,199,780,470,235,
073,265,020,877,230,060,730,624,616,874,664,033,519,524,272,947,989,618,909,
968,087,776,108,872,053,895,957,832,092,833,447,646,998,404,121,790,003,964,
838,067,981,843,613,163,742,469,610,302,729,996,854,871,129,149,325,577,543,
305,400,106,542,461,323,822,946,426,201,636,174,886,997,564,094,231,699,716,
926,163,643,066,685,047,683,843,117,616,211,707,603,824,467,966,721,958,665,
992,131,777,507,177,403,763,440,248,201,197,035,862,901,395,833,644,790,949,
170,790,145,204,434,957,325,570,744,239,270,840,944,929,929,607,395,096,531,
865,926,451,227,268,316,504,929,673,765,860,800,912,568,834,073,505,473,864,
629,282,494,318,870,853,665,453,549,059,204,101,961,050,769,629,810,544,614,
505,263,943,486,765,221,674,538,976,415,362,022,589,409,890,745,598,240,682,
351,680,477,179,475,435,715,197,226,394,584,734,381,316,261,282,828,164,263,
653,778,235,041,783,593,106,511,810,805,175,929,361,663,163,435,967,944,986,
126,985,802,798,785,577,678,416,228,501,220,380,261,614,231,503,751,134,431,
778,483,830,141,414,193,557,962,142,714,109,123,913,229,720,943,265,724,366,
051,900,498,461,579,679,914,580,170,394,512,066,488,381,733,262,158,447,861,
930,742,943,809,263,954,144,660,528,209,319,355,559,502,440,486,098,428,804,
902,127,462,601,795,683,023,184,555,971,071,784,929,207,423,677,800,565,709,
090,774,321,731,172,372,730,979,771,671,087,968,961,321,027,118,213,810,252,
153,628,229,534,461,731,830,363,892,316,974,316,670,258,462,816,675,612,791,
363,873,873,746,852,575,835,151,741,117,554,511,252,863,135,136,554,448,012,
886,616,765,622,979,519,300,626,536,933,254,568,126,914,585,368,787,536,686,
275,933,660,090,795,268,581,908,077,216,925,111,790,268,776,534,084,742,939,
321,064,154,530,254,518,721,215,879,542,526,199,305,074,631,019,067,747,667,
704,992,888,199,622,937,418,366,241,708,287,951,695,305,415,773,534,158,823,
946,469,685,513,328,574,439,331,074,660,994,042,886,096,811,191,772,328,159,
875,971,399,316,398,255,044,862,890,879,186,492,684,613,117,568,434,436,319,
555,369,497,012,944,259,654,811,460,235,299,194,527,480,770,879,477,958,665,
304,095,334,739,256,700,078,414,860,080,859,015,151,670,627,805,089,148,686,
113,023,473,340,710,049,614,874,151,528,001,912,851,122,064,873,061,096,234,
888,847,321,808,596,672,719,867,303,831,840,713,251,774,104,513,340,411,543,
745,729,709,869,354,186,337,300,033,090,264,385,446,989,596,127,458,044,784,
163,165,930,579,756,118,100,494,089,615,002,429,860,217,819,605,094,305,597,
913,642,473,829,803,737,955,568,746,214,765,404,415,396,651,737,249,269,139,
485,155,297,931,798,388,662,556,818,834,074,927,118,138,554,321,811,805,022,
497,270,226,699,496,758,601,518,217,543,573,162,251,085,566,323,666,997,873,
326,974,209,118,252,558,863,727,453,772,855,444,503,818,047,170,496,420,149,
440,448,275,180,610,905,376,959,703,134,892,559,103,064,522,393,148,747,761,
051,733,243,050,637,369,388,609,984,141,171,182,425,614,271,726,777,456,668,
705,759,454,671,570,492,995,549,318,470,516,764,000,833,315,605,120,223,357,
449,304,717,846,962,103,970,785,429,568,031,838,174,465,413,125,945,280,580,
848,513,161,482,185,460,666,255,961,120,179,587,234,514,973,319,499,455,382,
303,977,791,689,222,953,004,459,071,674,663,902,509,033,743,724,440,088,827,
773,286,930,804,584,307,695,232,903,989,957,126,891,941,993,335,197,534,442,
488,754,287,462,100,534,943,091,863,498,078,692,383,631,928,732,113,636,849,
678,966,946,072,480,632,021,589,210,821,241,053,436,427,207,118,645,078,807,
344,812,602,633,487,556,192,593,703,801,088,392,918,273,896,175,516,086,447,
842,111,805,171,566,794,574,784,684,392,451,506,715,179,316,105,019,366,047,
172,065,673,708,725,534,577,018,173,427,038,805,589,545,667,216,221,747,189,
108,929,189,484,061,556,455,349,393,330,187,841,897,649,497,327,348,513,728,
575,713,389,524,044,912,738,390,026,278,904,488,794,711,187,678,575,163,744,
418,884,130,005,628,843,686,771,587,976,896,777,586,641,272,347,257,885,441,
193,348,787,200,485,552,705,909,230,219,790,096,630,913,860,674,502,240,937,
627,874,224,017,408,579,854,883,323,582,376,585,140,169,426,798,529,530,709,
170,189,224,678,300,952,483,269,878,180,191,928,222,223,734,544,970,800,843,
614,317,143,845,420,157,990,620,213,540,403,847,508,367,250,257,260,164,143,
686,402,215,891,135,108,826,572,232,188,638,427,471,206,488,442,288,628,991,
513,067,675,041,045,440,493,252,581,639,120,437,121,962,485,243,050,387,966,
440,060,652,018,455,574,428,114,639,840,723,103,668,352,611,336,674,066,701,
147,297,413,224,011,078,119,759,467,168,236,198,724,798,664,764,888,725,888,
956,081,391,648,344,070,254,853,861,548,026,142,369,447,827,505,906,594,413,
681,651,447,363,899,771,753,490,181,147,061,728,781,204,177,611,842,510,920,
053,574,378,704,237,021,070,514,313,298,131,829,812,017,904,280,414,362,453,
618,737,732,556,230,000,545,366,562,832,044,043,979,027,080,344,230,034,704,
908,110,670,930,190,428,030,053,745,133,666,095,162,154,384,593,380,962,429,
919,090,365,098,924,222,926,922,515,873,483,166,633,762,862,967,997,841,499,
045,641,537,373,258,777,666,324,041,621,023,404,900,971,964,623,129,133,275,
442,928,352,224,240,020,626,612,311,451,370,293,462,874,910,270,006,291,583,
520,720,465,592,445,966,634,358,691,526,324,812,123,540,381,066,890,308,022,
918,565,565,457,552,255,794,187,092,674,485,172,241,486,862,062,808,966,181,
234,588,127,574,189,653,818,246,083,572,406,522,944,397,070,428,857,179,483,
059,228,593,646,236,031,569,563,206,377,321,299,532,206,017,012,938,863,187,
584,996,128,976,107,128,198,884,393,400,659,032,471,220,388,620,030,219,454,
947,314,599,449,077,990,814,578,310,220,744,649,752,652,339,236,113,549,666,
546,731,814,654,211,838,436,457,588,922,645,620,083,410,800,518,946,858,378,
330,568,159,061,020,272,246,647,409,149,720,723,618,871,246,936,045,729,350,
157,215,025,409,652,181,650,045,987,153,582,202,475,142,266,378,674,612,830,
495,232,438,646,117,341,749,054,605,873,668,963,157,985,915,762,782,502,679,
473,185,701,725,921,103,750,177,986,389,134,613,839,124,069,524,268,670,914,
690,423,740,291,644,145,787,550,113,026,257,033,026,654,747,682,353,606,104,
267,060,742,349,405,552,031,081,338,081,897,746,852,625,773,404,950,287,881,
809,189,655,129,441,083,700,755,423,447,372,677,419,002,589,422,274,634,242,
733,505,930,729,674,447,064,024,592,250,324,274,864,650,385,840,786,281,740,
797,067,345,026,393,071,310,769,961,971,934,604,899,748,617,100,193,526,487,
451,535,806,193,630,335,433,278,955,590,911,212,601,586,736,956,616,030,417,
883,963,951,202,573,562,143,288,666,980,446,595,151,548,731,996,109,115,704,
870,988,578,457,516,195,130,249,245,761,708,092,312,961,011,309,046,736,133,
743,160,941,177,354,185,137,599,137,570,018,412,651,145,730,137,977,238,730,
539,216,629,090,817,798,341,169,863,326,595,843,814,363,411,370,726,445,292,
168,050,905,173,998,891,671,999,951,160,315,454,372,534,027,411,479,862,480,
485,595,278,243,148,086,835,076,377,996,327,395,585,458,339,299,978,508,989,
060,419,841,389,171,938,991,646,039,740,942,882,763,745,843,753,085,891,244,
635,228,290,751,477,580,133,056,275,427,244,490,438,003,883,348,104,569,098,
951,649,365,620,655,080,818,594,258,556,732,831,697,748,921,993,882,662,892,
174,290,381,096,879,780,451,582,367,152,075,426,206,539,962,058,565,273,143,
486,375,592,662,474,595,166,149,021,486,635,008,772,043,487,458,808,453,017,
274,275,303,438,107,592,726,489,408,613,633,467,700,253,321,534,668,981,404,
670,253,036,767,913,755,415,896,467,846,438,626,436,434,830,055,224,023,609,
155,223,101,751,088,380,569,704,794,126,004,597,553,866,787,114,645,265,407,
455,374,571,752,499,313,370,268,610,917,011,499,308,976,012,465,785,947,217,
074,671,441,940,816,320,368,752,641,260,628,775,780,582,791,231,894,177,029,
075,718,936,326,063,142,626,413,126,719,351,168,929,539,643,843,160,295,285,
871,648,996,314,311,722,214,595,241,700,151,957,787,135,413,559,106,895,253,
799,504,876,254,361,276,032,304,739,836,884,766,151,006,354,161,656,606,090,
224,839,526,195,213,380,529,094,403,812,046,209,615,569,576,926,158,924,408,
435,297,595,197,151,158,043,446,759,887,912,326,231,252,182,642,349,280,110,
152,490,471,270,098,893,167,177,879,334,651,562,676,548,484,516,887,944,445,
109,016,806,274,457,483,639,051,667,347,638,396,923,431,901,894,405,844,938,
081,674,006,459,697,391,750,567,346,558,215,634,353,855,900,711,512,287,046,
572,551,882,979,024,061,014,539,803,823,638,429,331,292,900,793,108,441,854,
391,695,065,972,674,698,426,119,380,525,980,728,421,913,834,621,071,534,127,
493,961,276,891,707,721,773,527,985,705,143,213,626,185,682,635,231,803,895,
237,345,598,873,899,163,625,878,046,079,268,529,067,197,848,851,763,930,483,
404,231,567,322,607,308,131,911,137,002,838,989,024,090,319,265,386,060,680,
087,992,047,026,742,511,930,715,395,992,418,907,233,762,019,588,926,350,029,
851,188,460,694,496,116,551,996,862,936,381,061,113,769,741,310,211,610,172,
993,409,236,454,137,676,815,644,788,811,566,311,404,800,637,576,718,833,126,
869,729,901,591,560,091,222,758,995,792,349,388,519,628,856,065,213,683,772,
472,093,497,844,695,160,735,621,225,237,117,298,086,630,839,268,915,665,904,
482,655,780,877,203,301,532,732,044,030,914,337,934,091,401,395,282,012,580,
356,934,599,950,293,615,307,332,512,207,463,421,698,317,756,478,370,326,950,
196,542,998,356,493,167,530,274,752,833,975,477,581,588,125,134,802,510,570,
475,707,514,051,556,966,702,673,987,484,168,084,310,681,503,599,582,948,827,
516,895,658,158,251,996,804,188,488,497,433,680,908,831,431,433,520,526,347,
235,007,200,388,626,865,379,616,417,477,732,500,714,943,204,708,152,616,246,
935,542,724,704,436,397,635,993,494,305,020,688,830,186,065,662,440,462,689,
169,880,260,587,554,587,795,366,235,416,504,920,543,370,104,382,161,288,087,
403,590,229,753,292,845,516,412,619,780,741,769,981,511,337,910,669,213,566,
391,408,873,679,445,172,696,655,335,631,837,886,862,293,495,822,273,899,561,
679,285,725,824,878,736,749,130,723,007,904,464,384,272,878,370,464,731,334,
941,687,284,714,666,320,400,960,088,931,758,573,091,453,728,776,833,951,789,
876,420,614,708,940,117,831,573,424,983,242,509,250,198,137,774,825,019,175,
218,925,201,418,110,341,129,088,828,677,888,851,332,460,822,302,226,612,490,
296,076,026,663,293,680,515,685,700,983,997,099,448,835,312,460,473,228,452,
476,998,751,676,036,222,316,677,347,646,447,467,698,449,721,163,544,352,725,
813,302,393,158,520,892,268,238,555,478,883,176,582,017,138,181,381,777,692,
309,920,862,244,203,240,934,475,630,976,054,153,232,847,849,216,596,295,205,
856,096,376,456,096,419,809,777,810,772,144,427,834,013,812,134,858,397,524,
815,281,176,585,340,265,239,815,953,965,691,935,322,414,777,792,378,148,946,
555,536,945,574,779,747,246,240,157,479,365,415,640,832,103,883,575,290,833,
505,529,220,425,074,502,349,066,766,015,914,382,588,231,953,602,256,231,810,
757,195,106,091,626,302,713,884,005,082,389,518,726,016,407,128,817,325,998,
733,326,633,273,920,643,531,804,079,509,166,196,205,941,887,058,058,300,493,
432,059,957,430,272,714,914,729,934,324,091,419,155,513,131,750,330,200,288,
916,116,730,425,626,573,959,563,841,875,799,217,566,360,794,650,740,392,720,
373,250,496,772,755,012,701,501,684,775,757,040,586,195,154,690,123,572,387,
993,177,854,144,903,639,623,677,187,783,414,024,202,252,751,606,311,566,536,
657,267,108,713,397,399,266,034,427,221,638,567,017,218,102,688,715,235,817,
410,765,492,790,217,340,028,312,067,084,054,771,710,571,733,283,947,868,049,
893,282,142,897,321,941,396,485,350,113,835,958,400,120,627,781,222,351,906,
611,617,922,145,385,542,028,727,850,323,874,010,686,758,726,953,569,870,651,
967,349,370,797,449,802,343,892,022,853,149,011,386,566,755,576,299,877,917,
250,507,847,924,494,609,151,005,215,961,386,465,575,457,230,041,297,881,815,
621,046,844,734,329,757,453,698,410,138,499,255,975,075,422,936,462,170,718,
786,141,179,643,845,041,529,869,208,093,704,758,145,318,340,495,853,793,488,
782,552,020,182,878,164,961,053,402,474,093,558,914,959,278,829,634,404,728,
036,535,651,516,669,962,256,495,721,375,521,343,204,761,443,898,622,257,162,
413,050,726,238,176,029,200,857,783,875,573,886,557,976,325,800,822,994,251,
231,913,091,645,854,085,549,655,140,404,219,854,846,895,123,447,704,361,887,
781,539,985,317,049,095,419,804,446,979,271,106,053,492,457,758,229,661,666,
197,144,473,936,372,003,914,729,174,566,503,819,488,511,065,692,528,065,068,
877,452,085,594,191,588,760,337,091,633,935,779,052,160,598,266,822,238,237,
263,926,137,162,825,234,737,977,079,482,303,672,989,014,854,129,623,415,103,
834,461,463,963,496,887,627,468,844,645,331,913,686,720,821,514,750,432,177,
474,209,618,684,968,588,621,196,996,578,071,874,086,766,449,887,198,272,947,
163,946,412,863,825,040,859,652,173,565,310,062,429,631,427,795,249,091,322,
685,464,720,961,418,985,902,380,013,138,486,977,554,011,062,571,890,103,772,
413,874,111,833,796,460,749,760,482,875,186,940,911,911,773,028,196,746,346,
929,944,699,092,728,599,211,461,734,500,553,428,301,551,768,223,813,522,926,
760,012,531,819,091,943,965,989,556,011,933,332,275,760,261,350,972,390,438,
794,761,667,453,008,017,723,710,745,306,748,167,426,306,138,385,689,003,659,
409,845,684,966,999,047,176,536,250,761,506,488,130,509,751,753,561,706,331,
110,660,634,682,787,456,711,444,134,234,940,048,939,076,782,828,442,340,139,
002,133,952,099,343,519,312,996,209,707,745,747,088,452,139,465,683,690,201,
896,717,019,312,179,503,985,787,633,535,706,272,471,823,765,787,495,552,950,
237,561,134,556,483,849,600,778,889,185,458,375,312,308,953,114,709,899,365,
965,626,941,241,176,592,680,034,895,683,185,212,806,501,116,246,309,696,250,
367,323,987,940,848,027,664,230,013,749,326,099,995,768,218,064,244,069,396,
602,495,256,432,498,786,785,132,660,320,812,544,765,677,464,423,675,336,017,
812,698,116,340,512,413,981,285,429,597,328,526,184,012,822,463,715,343,889,
142,460,962,005,136,904,119,678,421,464,530,192,155,336,995,790,184,025,194,
161,106,363,078,705,724,086,009,736,568,391,390,065,385,512,367,814,592,389,
655,265,586,997,228,076,140,046,206,909,699,429,373,685,490,724,856,763,902,
287,266,029,265,519,276,975,091,940,604,542,633,035,522,444,420,649,185,400,
542,968,793,823,177,133,543,374,592,252,914,345,729,413,411,199,355,955,877,
760,226,811,370,822,644,270,585,345,126,605,132,608,649,137,763,323,140,067,
929,797,204,189,923,492,476,133,317,344,116,068,504,995,188,026,290,879,121,
046,441,444,194,671,135,179,274,109,067,994,430,445,732,340,916,730,187,373,
030,557,630,069,112,897,661,819,776,507,210,166,110,349,918,940,553,839,860,
537,373,980,686,955,196,540,935,426,147,473,320,130,946,577,978,885,790,252,
839,902,397,842,628,445,046,784,595,308,464,179,834,488,714,032,929,320,081,
875,318,671,084,192,973,451,243,189,113,898,867,648,798,435,624,651,773,310,
857,219,291,842,653,165,977,421,195,288,386,653,152,705,645,145,275,265,033,
759,407,946,200,740,168,943,270,950,911,280,440,570,846,276,783,432,278,722,
606,847,161,271,400,343,150,807,668,081,154,888,984,906,039,869,373,851,597,
665,032,082,596,136,086,619,925,403,176,539,170,248,816,131,916,699,846,924,
759,521,776,514,536,914,246,760,957,379,442,121,303,379,173,861,094,709,790,
875,189,653,975,669,866,118,693,552,435,930,343,035,051,645,743,279,462,955,
659,973,604,202,973,282,874,627,567,281,523,662,333,649,682,048,776,262,213,
165,553,771,753,657,184,533,332,072,908,012,141,044,182,755,687,036,381,803,
302,873,647,346,191,455,504,539,700,801,161,281,112,564,828,558,760,639,881,
202,011,938,988,050,258,370,169,405,270,651,302,284,507,590,667,696,055,893,
199,605,675,385,534,472,267,103,366,576,384,782,595,936,298,139,938,430,347,
727,008,909,752,212,215,999,138,804,202,389,844,002,239,761,366,602,659,316,
999,720,322,603,489,293,263,061,127,723,999,640,626,692,941,928,541,288,581,
866,464,522,677,285,264,296,657,660,531,606,949,988,541,458,066,629,427,443,
062,260,758,870,880,202,047,654,107,701,261,616,819,932,117,083,075,370,052,
666,139,413,216,541,527,104,737,992,930,329,339,174,542,586,265,977,590,836,
979,240,391,809,908,405,369,380,767,320,192,505,067,463,926,397,106,822,451,
334,606,884,373,504,723,913,597,505,951,259,956,075,843,097,404,813,264,059,
320,966,763,549,283,738,375,574,140,431,929,323,414,573,394,529,465,275,631,
633,588,936,775,926,028,423,202,118,331,922,624,284,374,227,753,558,439,950,
339,496,297,658,428,339,589,049,068,695,628,630,921,982,021,782,211,580,979,
188,529,487,124,175,141,686,299,036,613,729,853,401,113,131,031,816,326,944,
382,203,206,697,444,691,129,047,705,994,380,121,473,057,753,553,726,636,020,
898,297,002,286,428,966,865,230,341,548,841,955,264,611,241,110,815,934,501,
532,949,575,562,017,784,013,395,768,597,568,880,375,161,209,820,259,009,256,
679,156,196,445,917,443,208,337,468,686,590,642,391,141,310,658,347,132,333,
157,818,376,839,356,996,833,720,682,186,846,904,072,234,733,483,022,665,707,
962,034,967,828,180,931,860,052,402,453,430,988,101,149,532,113,275,700,834,
807,337,494,629,950,261,214,059,616,768,822,664,890,532,738,047,960,084,731,
402,715,382,432,505,033,115,495,088,463,063,069,975,214,269,231,634,392,632,
566,228,711,318,271,585,764,858,903,265,287,763,109,952,802,670,299,344,308,
157,760,167,559,016,210,664,902,758,258,080,925,784,120,264,929,542,329,094,
069,343,972,073,013,111,969,182,818,461,855,745,435,537,321,480,431,519,099,
185,044,637,696,892,369,768,370,141,758,029,536,884,678,654,606,441,524,200,
796,721,005,810,929,029,136,673,796,086,689,066,731,674,516,677,292,038,133,
220,527,277,769,987,735,222,792,188,238,069,054,897,169,265,375,105,159,296,
902,128,433,812,935,787,175,092,648,037,305,791,389,191,338,591,006,635,980,
093,982,003,277,067,058,883,390,973,013,675,900,865,838,598,526,821,909,557,
067,317,609,257,119,804,345,582,725,081,182,486,485,796,085,791,558,523,851,
212,909,999,874,305,160,276,382,569,242,211,462,090,155,181,740,693,863,968,
080,409,771,029,348,559,517,339,831,561,014,938,512,054,742,234,868,517,358,
747,485,128,586,939,740,565,393,647,769,660,389,146,666,208,802,814,244,692,
168,502,256,981,424,977,578,673,752,609,741,091,015,611,727,822,695,090,889,
902,929,082,849,110,530,543,625,927,678,419,475,662,980,867,904,326,220,221,
717,323,112,701,814,809,950,088,412,385,420,375,597,098,308,155,970,727,358,
997,332,260,505,918,208,409,228,425,307,936,323,835,309,776,007,126,070,961,
370,669,940,772,805,813,888,225,502,388,188,485,702,374,778,755,390,138,283,
364,938,719,555,604,868,248,948,055,369,071,556,637,222,529,501,342,380,372,
252,097,955,722,101,525,792,762,713,615,019,869,075,016,476,475,085,149,655,
765,694,119,068,995,793,146,342,444,405,814,118,642,941,003,709,944,678,278,
984,126,387,157,738,031,261,974,034,629,048,103,213,117,918,198,702,399,980,
001,534,038,042,440,677,557,963,262,356,139,323,624,699,528,342,108,179,317,
785,295,282,412,552,198,149,302,160,257,951,202,968,657,906,463,526,416,585,
011,834,595,020,743,568,650,048,246,130,541,571,566,901,546,497,687,224,199,
786,622,608,550,799,211,681,455,039,758,015,729,928,800,008,545,159,943,531,
606,347,989,924,760,791,882,715,667,331,415,218,078,474,037,970,060,032,931,
251,824,792,518,452,243,373,643,848,893,652,848,061,570,987,288,992,196,221,
293,659,513,758,510,615,342,121,897,146,908,624,749,462,271,629,828,943,731,
041,895,709,881,688,042,958,761,788,820,910,761,228,255,739,943,208,171,260,
044,149,405,311,098,843,763,580,805,189,426,050,372,305,176,036,053,737,288,
832,459,173,468,569,752,199,432,559,062,172,704,495,982,092,699,788,749,492,
802,514,515,465,725,035,353,281,154,691,235,025,976,193,858,320,509,037,913,
656,252,789,660,015,915,418,881,497,153,420,469,864,856,920,910,163,855,677,
723,093,979,569,504,098,766,297,455,381,447,312,058,373,870,472,051,725,220,
583,153,519,523,179,974,970,090,978,029,122,155,921,435,552,913,857,650,375,
074,953,087,162,680,598,942,369,900,219,521,805,740,056,065,461,206,274,717,
421,436,661,937,174,523,567,921,401,070,514,828,905,769,365,712,927,023,544,
989,764,118,673,558,564,434,679,410,261,956,691,189,252,445,008,633,936,589,
326,692,193,797,334,362,860,864,473,826,900,025,194,927,239,201,575,470,624,
730,458,827,500,900,361,218,753,620,080,689,856,107,327,728,504,057,526,539,
105,316,792,479,062,099,828,836,540,147,771,449,309,766,912,517,558,957,651,
235,175,865,855,367,269,923,907,453,902,924,144,805,249,161,220,926,842,512,
772,414,815,736,296,666,182,333,763,403,324,063,871,446,176,396,115,556,142,
078,645,520,027,565,083,820,015,937,765,605,452,146,233,842,926,141,278,209,
455,448,454,938,640,833,406,830,798,413,305,723,988,253,118,961,421,425,911,
606,514,818,618,877,143,288,216,587,786,205,068,013,861,471,807,878,728,054,
995,733,696,117,322,866,060,194,661,481,148,635,816,018,378,462,719,603,628,
402,619,945,945,293,331,592,271,119,643,185,313,511,158,096,122,850,127,184,
839,657,465,010,446,397,042,493,324,331,452,511,310,270,384,913,027,408,662,
426,568,736,436,845,473,104,224,112,979,339,930,956,212,789,983,293,174,158,
614,884,035,292,556,394,187,195,351,690,141,354,798,299,127,313,995,500,749,
759,804,134,488,483,083,514,417,663,683,119,159,493,328,969,561,074,004,300,
695,466,460,983,633,329,164,781,881,329,839,569,181,705,567,858,828,887,754,
494,197,106,408,120,688,689,208,831,491,442,770,918,020,058,172,256,034,681,
474,974,210,944,143,001,925,398,569,496,962,882,398,881,719,149,548,947,487,
681,227,331,182,240,554,996,518,996,342,040,410,616,986,922,478,451,227,303,
157,336,608,502,565,978,998,272,026,318,174,725,098,234,629,180,821,648,671,
840,303,354,538,058,412,518,517,448,034,299,518,528,342,199,788,968,167,872,
307,837,708,753,871,572,179,761,287,624,107,657,105,182,418,701,660,522,489,
613,100,147,871,335,925,128,540,032,494,308,523,178,309,423,513,911,839,337,
540,368,494,765,533,522,462,356,443,357,743,682,828,627,086,283,640,811,257,
289,583,147,288,184,788,206,900,649,150,805,657,484,988,714,476,380,432,715,
149,234,065,647,010,017,053,916,018,775,605,746,881,445,269,598,644,816,483,
708,048,097,097,137,811,146,877,854,810,316,246,245,791,918,277,423,912,080,
400,889,128,096,637,824,228,729,747,897,849,142,998,513,075,921,008,918,328,
817,106,553,769,120,618,551,698,505,080,171,108,563,411,180,328,795,715,277,
847,084,993,134,675,307,620,128,723,479,421,600,130,717,406,932,932,544,568,
384,295,664,613,552,003,278,379,423,794,945,102,111,880,051,807,726,856,038,
309,695,595,673,401,376,639,457,956,448,930,128,562,374,376,597,342,960,480,
023,487,072,398,931,233,384,713,986,712,898,064,307,656,909,810,648,443,828,
589,081,016,930,603,131,219,753,398,937,539,804,235,506,467,962,884,601,782,
868,883,117,011,216,184,867,393,120,181,753,228,449,099,086,968,869,164,240,
763,809,751,813,636,498,759,280,875,732,407,665,506,632,922,665,436,520,649,
306,829,810,688,542,465,443,253,144,451,031,959,340,406,221,200,216,945,840,
229,251,103,612,948,240,569,719,730,857,587,475,647,729,782,317,793,577,161,
617,077,770,866,830,096,505,667,315,631,919,634,944,322,729,885,176,894,882,
613,464,205,742,793,198,797,581,065,702,795,772,621,022,870,458,094,951,347,
847,243,348,317,450,992,095,603,798,351,214,659,803,905,337,605,613,264,909,
896,889,941,481,391,906,510,135,827,011,614,399,127,530,099,501,925,074,153,
097,182,205,632,101,242,422,453,011,112,055,461,792,990,234,887,752,847,736,
404,805,001,332,068,659,564,022,264,312,211,407,883,508,713,698,430,130,275,
641,210,282,296,885,243,358,275,622,392,004,472,324,859,937,882,982,557,671,
773,144,417,782,981,632,617,177,336,864,283,684,587,303,596,528,796,576,275,
328,827,276,126,730,699,013,203,482,837,400,156,482,440,688,456,330,168,445,
126,839,214,277,753,738,409,938,458,802,007,264,878,064,978,316,866,999,378,
460,709,561,171,909,276,876,746,226,896,258,878,294,068,562,763,865,601,158,
476,839,663,538,476,918,243,876,154,628,317,409,622,645,525,718,984,708,424,
659,991,910,545,304,652,501,763,552,772,362,961,255,966,778,990,746,092,134,
755,745,158,597,083,627,503,191,781,807,104,114,815,294,481,640,109,304,597,
565,186,244,311,213,010,129,056,082,178,719,326,131,454,258,595,069,943,829,
085,961,390,403,412,229,112,771,588,989,834,092,720,447,050,550,456,738,767,
674,378,626,202,653,577,136,156,910,192,200,475,265,495,104,003,066,407,217,
425,799,128,533,422,861,157,885,382,329,013,706,454,012,644,076,535,179,247,
151,624,690,763,707,174,348,998,586,088,454,064,170,488,952,761,865,901,606,
817,513,228,867,188,462,265,439,780,459,984,492,383,270,819,034,491,625,545,
246,627,598,761,360,749,915,422,069,597,025,841,351,004,799,860,392,085,736,
093,800,546,557,751,502,302,464,355,873,328,548,334,095,945,350,479,095,817,
792,036,082,002,761,602,045,225,803,993,500,085,002,198,743,066,407,527,625,
950,834,550,374,523,867,763,089,934,010,695,691,590,517,934,614,292,188,898,
138,300,799,601,671,598,926,860,585,336,542,012,615,922,179,615,283,937,330,
471,654,618,135,129,616,385,362,933,003,203,565,940,467,745,295,619,874,978,
517,751,515,637,271,977,534,283,044,746,124,034,099,384,604,129,582,445,908,
066,623,091,741,792,503,948,613,406,121,136,607,678,469,358,480,313,021,155,
193,599,872,277,934,390,993,548,178,208,821,189,676,954,930,522,515,154,560,
264,092,723,153,464,774,305,242,730,259,121,915,891,428,063,165,856,705,002,
125,742,286,360,073,999,206,505,123,516,998,952,521,993,913,832,340,821,954,
712,469,667,221,657,665,315,745,203,711,363,441,186,836,608,052,195,914,418,
179,318,385,817,200,784,865,313,041,633,205,406,787,588,714,254,997,583,452,
093,931,032,438,900,087,824,508,263,878,733,970,273,674,009,010,457,933,531,
236,153,986,781,132,271,602,214,377,334,307,789,068,024,931,966,289,263,185,
967,256,052,346,630,135,981,776,990,116,087,545,342,026,786,532,818,012,622,
394,355,895,700,020,554,549,522,350,811,617,421,270,979,939,287,630,889,245,
801,412,985,643,186,150,375,811,937,340,222,395,625,203,750,520,687,908,635,
021,087,549,020,788,294,187,542,985,935,597,683,580,287,401,228,664,822,466,
184,910,977,276,454,912,200,042,296,911,963,797,715,071,564,996,696,189,126,
785,984,965,074,056,737,441,012,584,660,919,277,645,259,572,621,178,330,077,
470,206,835,334,472,321,166,590,198,121,549,881,831,378,144,772,358,109,424,
886,944,497,258,265,740,325,157,449,696,445,285,763,682,687,177,191,940,583,
202,909,275,144,634,125,997,229,621,520,241,020,501,147,595,284,917,083,008,
891,990,071,161,792,066,186,984,049,517,383,009,677,546,312,679,498,322,072,
935,378,199,670,634,655,070,986,439,513,610,868,447,635,799,960,400,411,452,
707,338,146,346,285,153,760,762,168,928,450,022,684,635,647,141,640,519,616,
275,875,648,950,464,369,015,084,845,206,313,626,841,866,219,743,995,236,763,
077,314,629,479,284,948,449,297,418,847,729,709,306,446,864,216,341,857,688,
283,681,855,116,634,614,128,734,769,280,447,880,966,801,778,877,584,346,858,
326,268,127,695,733,963,051,212,767,308,093,525,271,859,239,986,004,979,036,
786,506,577,573,727,643,628,631,298,542,218,907,136,708,224,053,563,644,813,
221,915,425,227,062,330,071,051,735,804,562,053,937,307,821,635,194,513,609,
476,606,718,939,994,362,053,507,816,783,655,580,195,315,610,434,875,561,499,
927,899,130,007,476,460,812,466,595,267,863,702,547,525,786,069,536,551,606,
101,355,676,825,512,676,445,850,115,091,490,463,872,249,543,125,916,868,704,
550,464,985,803,582,071,895,132,084,541,440,905,185,519,646,998,227,315,081,
502,766,632,492,587,771,650,727,950,832,261,931,966,180,218,704,774,681,553,
094,480,882,657,354,485,882,669,808,007,470,600,309,774,267,767,484,705,449,
836,275,657,340,646,991,740,440,036,908,391,010,538,135,114,138,736,362,050,
565,045,609,266,304,689,501,288,788,756,614,194,327,680,943,158,300,454,620,
270,626,282,834,496,452,344,778,723,746,775,426,765,610,311,887,626,482,584,
461,271,204,570,042,623,205,073,914,722,735,872,788,557,886,686,311,689,932,
296,610,526,115,430,252,181,563,329,662,198,926,440,292,914,493,647,845,282,
323,794,117,422,024,437,048,168,011,767,032,945,496,204,755,992,490,272,643,
751,800,454,682,388,235,122,590,390,164,505,231,993,931,019,904,621,687,403,
396,640,149,738,041,525,874,408,345,576,142,414,991,643,380,752,153,729,124,
626,912,112,855,671,253,315,962,821,412,139,579,510,612,262,395,626,718,634,
912,356,202,370,465,686,152,827,104,573,959,403,281,398,376,733,727,479,619,
705,137,800,774,047,473,799,091,395,207,982,914,209,972,747,458,010,311,114,
880,963,165,289,617,615,141,359,736,371,969,510,827,667,638,062,449,013,071,
198,720,099,552,625,148,672,913,066,614,861,759,023,301,232,907,133,997,245,
034,207,523,427,139,872,812,587,275,001,606,260,820,480,660,574,000,856,663,
706,096,599,184,566,333,046,207,846,072,843,699,115,763,007,755,783,189,707,
886,198,936,753,165,805,242,262,301,907,476,257,979,518,509,847,853,843,547,
981,856,875,326,768,207,719,905,279,486,955,225,065,711,010,912,554,246,080,
203,720,892,322,376,275,515,848,873,433,042,904,555,987,060,987,661,022,161,
020,810,458,882,145,413,381,174,654,124,860,515,198,957,800,198,924,170,176,
184,387,963,874,798,757,955,840,915,808,609,205,767,733,489,743,755,208,193,
994,724,755,202,514,214,326,818,363,273,065,049,063,249,203,954,951,161,522,
536,180,665,340,197,961,381,922,176,723,474,774,228,969,803,467,269,012,338,
960,232,773,260,989,164,261,445,395,507,693,129,908,916,620,797,116,622,358,
001,973,683,725,230,582,542,054,261,351,505,323,077,323,900,585,385,895,188,
527,412,526,030,084,187,148,110,004,834,374,500,996,574,201,871,543,338,004,
263,932,612,983,192,861,177,672,425,354,666,981,161,102,607,069,617,943,128,
579,301,934,747,577,123,414,020,372,144,520,544,508,976,054,505,114,946,826,
109,423,795,104,080,654,734,459,570,504,847,245,766,675,516,922,594,400,825,
641,081,712,798,103,556,898,027,863,929,519,887,151,040,702,164,279,434,466,
386,700,075,082,186,340,733,064,341,517,258,835,508,067,468,352,699,989,814,
884,499,618,935,123,608,168,069,224,214,002,013,738,741,548,817,982,048,025,
637,310,627,425,261,819,338,753,385,394,587,602,182,496,270,713,570,439,117,
300,376,815,986,268,784,983,652,848,801,652,417,406,152,604,378,182,649,846,
056,860,950,166,254,485,090,050,320,177,231,220,968,082,386,065,541,362,498,
231,465,329,453,316,999,233,702,600,744,827,744,939,841,957,406,994,259,902,
634,752,956,899,473,667,482,360,665,397,036,047,441,284,650,848,354,294,986,
693,512,021,713,756,900,230,056,309,441,414,960,800,132,055,311,854,341,319,
324,860,192,838,392,886,177,684,288,466,974,427,180,484,509,200,281,011,881,
654,072,168,011,688,323,983,315,152,524,852,509,729,227,221,455,557,333,303,
251,116,663,909,562,695,809,696,137,951,756,184,315,357,071,056,913,728,278,
194,805,711,308,799,595,330,812,760,739,724,092,748,199,075,692,949,584,420,
337,820,400,093,351,045,989,794,330,599,337,487,158,891,007,783,620,781,578,
486,762,965,029,377,282,944,998,848,177,852,894,473,142,782,695,631,272,426,
054,950,061,690,424,021,323,770,587,904,493,209,488,269,559,191,694,968,360,
441,376,572,391,046,509,657,076,691,596,882,489,996,772,779,978,297,734,299,
947,193,104,475,297,458,857,523,796,102,472,954,156,898,199,300,452,923,048,
053,721,732,556,048,523,544,712,503,619,511,830,154,065,852,073,811,182,735,
280,913,930,432,123,599,945,277,567,474,245,529,911,862,850,933,923,918,898,
010,317,418,413,806,348,758,814,391,082,389,225,862,157,968,643,693,737,994,
222,677,027,278,935,270,943,622,002,737,196,990,980,022,331,836,608,260,950,
120,667,671,200,222,592,121,018,697,663,221,340,186,055,568,592,451,031,633,
855,138,214,997,435,934,712,600,383,863,590,219,567,686,962,118,925,619,352,
212,477,734,459,792,561,627,814,460,886,302,368,737,862,454,294,213,748,079,
430,155,572,156,005,466,658,013,203,569,320,925,791,194,582,231,291,287,290,
738,099,999,317,439,746,578,101,126,771,643,568,126,542,484,280,901,726,566,
538,262,529,597,080,611,067,599,135,452,911,285,974,393,409,250,668,911,374,
790,848,738,540,375,525,340,225,337,003,819,705,824,454,665,649,042,727,841,
456,336,883,141,166,851,978,797,259,931,782,346,482,418,590,707,549,847,101,
318,383,220,342,701,673,661,888,425,019,998,940,011,631,183,035,030,163,133,
384,179,304,405,577,853,438,660,641,833,792,105,505,697,376,610,334,598,304,
646,930,398,947,378,010,948,686,910,394,387,217,434,053,111,762,136,967,182,
664,410,303,701,823,390,829,022,966,607,711,645,340,448,557,386,589,260,603,
185,825,165,812,432,675,269,444,442,667,379,298,372,762,557,273,140,955,690,
166,837,240,454,519,575,557,754,518,545,301,619,767,089,760,692,328,562,552,
741,224,767,044,940,303,631,347,440,618,405,961,387,927,181,422,555,206,202,
868,562,154,022,142,701,462,853,881,203,149,996,401,179,001,056,403,737,156,
612,348,235,141,940,884,206,333,916,201,432,222,360,889,900,201,790,413,139,
464,630,917,763,203,418,588,169,173,850,518,630,850,419,558,674,714,933,697,
512,654,591,466,815,896,828,134,699,086,677,856,033,436,187,851,945,138,401,
172,195,044,344,944,059,377,024,007,007,230,662,117,050,554,287,989,067,780,
508,907,916,952,109,153,088,530,289,556,772,967,278,934,685,857,859,650,556,
469,901,729,100,753,954,096,118,165,621,125,076,306,910,610,753,166,330,269,
672,361,253,372,003,285,510,482,955,770,073,942,108,367,321,366,243,673,593,
668,665,291,865,550,169,128,956,264,534,791,869,827,361,997,135,712,184,957,
100,428,100,577,759,558,156,498,246,272,914,104,803,073,757,029,136,700,728,
353,707,189,301,025,482,545,266,341,354,601,951,701,274,893,409,841,224,227,
400,780,770,981,802,748,790,390,228,261,123,140,173,757,976,841,143,466,315,
959,657,622,104,849,246,678,508,737,992,719,609,599,614,959,446,673,876,348,
204,177,106,685,643,288,010,347,752,252,239,652,339,151,195,740,322,812,103,
256,800,531,208,965,986,980,024,536,204,627,087,706,806,690,551,740,042,969,
486,081,793,280,293,795,496,637,765,288,493,524,415,953,830,523,829,376,038,
934,381,833,593,581,674,782,634,667,754,470,348,305,939,713,287,539,355,846,
202,681,794,189,867,753,895,201,412,911,673,845,685,523,117,116,371,228,301,
297,381,034,204,602,134,191,741,534,719,490,246,357,392,870,955,179,223,776,
259,953,458,957,133,397,092,948,164,257,126,323,607,177,956,096,049,780,731,
831,777,599,929,815,798,709,094,823,364,419,964,171,419,629,211,147,077,302,
081,683,370,199,861,895,350,057,563,228,958,932,645,841,518,660,290,693,565,
659,858,166,539,936,356,995,831,201,245,023,354,913,754,984,961,643,401,434,
122,280,614,546,457,798,941,910,499,468,956,987,635,435,949,018,479,262,512,
979,850,512,311,119,847,491,166,694,843,129,580,849,616,157,153,535,735,368,
818,341,687,022,749,334,268,952,479,908,388,990,356,534,089,890,848,179,587,
912,563,092,640,050,999,768,500,509,793,980,390,043,841,424,525,627,523,755,
202,377,411,512,417,870,427,243,520,615,259,325,992,264,647,894,254,743,526,
569,811,080,155,783,110,199,909,353,586,032,260,261,031,051,670,570,912,320,
115,798,795,953,214,818,334,297,360,398,585,632,515,308,482,367,112,310,196,
897,412,676,970,533,873,267,409,365,329,636,501,536,530,247,748,634,173,149,
552,787,798,739,798,723,965,338,610,706,064,324,594,281,551,358,296,628,774,
660,725,962,704,185,667,872,001,705,635,899,027,946,459,407,671,838,437,387,
416,820,645,584,922,717,996,752,682,505,214,247,400,139,641,547,164,706,657,
872,425,506,139,404,359,130,874,170,729,319,410,277,368,549,404,680,323,674,
772,915,208,336,893,107,095,594,354,660,507,667,191,496,650,532,604,871,856,
018,371,513,120,798,918,833,982,167,510,704,198,638,591,322,142,428,921,286,
217,657,144,384,223,610,519,795,606,719,174,466,217,004,268,700,669,524,257,
433,436,842,884,576,649,854,109,214,030,402,938,334,839,637,400,620,886,029,
586,487,433,401,994,233,153,962,031,003,846,312,100,458,536,290,272,551,595,
305,253,291,815,506,603,269,934,981,379,129,531,433,671,807,111,189,819,099,
420,455,950,539,751,648,055,231,519,792,598,188,233,623,594,275,249,716,052,
865,522,246,661,295,634,070,892,736,186,431,371,104,009,318,135,982,266,272,
067,213,326,307,784,153,936,261,953,050,571,653,961,827,974,018,946,387,310,
158,843,685,051,706,273,361,571,395,605,259,199,938,945,182,696,379,477,693,
171,078,148,968,153,216,640,173,621,967,252,979,173,328,095,791,818,869,040,
346,635,194,652,595,560,544,111,581,054,381,452,235,231,655,575,982,205,934,
971,782,556,326,866,499,110,335,721,248,029,288,858,485,829,945,642,911,048,
343,199,291,008,731,549,964,763,543,493,431,441,516,500,861,140,441,402,622,
896,877,493,489,043,678,356,879,960,568,668,720,483,681,523,764,378,758,849,
034,839,651,678,201,092,047,743,112,688,171,270,153,448,869,952,575,194,060,
946,805,166,835,456,171,279,183,745,159,233,958,030,209,256,269,120,608,148,
925,906,927,930,182,924,449,222,272,792,536,752,923,661,158,853,059,175,938,
647,181,007,490,204,626,817,349,937,845,219,037,840,859,009,462,603,369,470,
020,140,511,587,964,240,921,618,541,329,452,087,311,402,173,685,898,051,400,
747,945,381,052,255,882,836,535,221,650,354,034,986,301,223,800,393,473,608,
160,803,671,816,154,898,512,076,188,947,436,318,971,150,387,634,043,040,871,
960,990,214,863,682,207,477,878,754,305,920,234,825,714,460,615,602,668,830,
546,792,919,065,258,880,779,986,301,570,621,662,186,002,487,718,104,822,290,
768,721,746,304,152,605,868,082,880,548,066,372,791,013,857,992,357,278,028,
901,261,936,792,205,528,552,611,322,097,955,881,848,646,037,387,147,013,079,
004,208,884,712,213,637,272,780,307,681,625,890,764,202,631,193,374,613,065,
356,689,485,182,583,127,830,144,813,807,071,060,375,575,162,904,839,433,064,
736,483,191,146,936,480,624,575,866,090,735,906,957,438,151,106,584,950,592,
977,232,267,465,049,968,200,571,514,030,941,062,038,332,905,957,415,172,467,
208,635,157,905,957,532,299,588,854,051,440,257,875,408,525,469,548,277,662,
847,866,584,757,182,792,372,964,676,776,404,721,085,701,227,837,182,732,027,
455,464,984,242,417,248,289,399,509,363,268,932,139,726,176,070,579,954,484,
244,345,457,941,164,009,646,978,845,329,428,294,529,046,844,653,443,964,079,
274,356,461,636,921,869,157,944,095,520,186,459,476,995,194,730,728,541,120,
902,355,220,980,918,983,944,829,605,834,957,727,293,081,439,144,705,517,414,
543,334,538,721,863,513,745,326,077,071,641,530,629,522,618,484,774,926,433,
926,549,605,725,627,730,945,244,997,798,641,945,938,746,855,751,842,300,340,
747,681,821,775,514,716,238,146,329,086,674,452,170,627,148,257,985,151,127,
986,336,395,178,020,460,388,598,238,467,326,147,919,656,452,558,075,313,155,
828,472,811,723,723,857,486,617,465,473,138,951,706,509,748,538,103,835,998,
549,038,995,367,130,250,193,441,120,538,927,960,648,873,857,362,985,175,024,
891,394,001,395,521,489,538,577,312,525,169,813,967,341,861,516,148,407,927,
105,044,999,270,953,778,955,097,651,906,522,958,470,863,642,313,385,628,613,
356,486,741,089,770,606,710,852,537,755,994,684,737,203,562,710,441,409,342,
753,317,776,686,223,532,673,990,560,057,986,589,594,005,241,199,510,735,756,
453,737,612,701,884,823,995,915,828,083,978,601,669,632,012,172,828,947,197,
017,820,160,017,321,507,236,229,724,281,702,518,764,257,637,001,833,515,897,
744,877,647,990,947,926,143,012,987,808,226,988,499,742,051,352,423,336,300,
694,212,768,670,751,461,563,206,430,197,230,479,847,620,687,073,250,653,804,
796,478,727,861,850,952,136,386,719,178,282,518,991,594,399,424,347,983,633,
033,257,420,458,396,669,615,728,077,106,489,561,118,761,696,489,599,218,145,
489,201,018,170,367,104,089,838,068,204,756,281,228,631,542,514,984,388,984,
148,862,127,375,638,089,516,711,627,485,231,413,848,456,195,585,721,107,377,
310,138,235,431,642,288,998,198,684,755,450,820,557,537,621,968,812,297,183,
614,358,656,679,878,356,269,415,337,231,750,107,515,651,251,986,757,793,964,
516,711,517,137,518,032,775,250,030,812,402,243,093,162,866,210,999,842,668,
925,706,626,337,439,148,132,738,706,067,762,774,139,986,027,011,857,076,988,
391,026,966,154,266,959,266,591,728,099,966,543,591,586,319,016,097,923,832,
535,205,878,856,572,023,975,439,026,553,347,051,235,154,034,949,184,451,296,
837,203,874,275,873,621,419,324,027,812,744,837,217,260,617,868,068,323,875,
961,923,465,584,783,516,289,706,246,722,849,052,584,409,912,472,946,521,511,
257,213,575,424,859,204,953,240,738,053,544,054,987,493,151,702,055,312,935,
524,702,472,848,732,684,784,471,843,812,707,012,094,971,889,020,129,754,666,
387,568,537,483,041,496,984,521,527,725,404,827,987,580,609,801,995,227,474,
928,299,452,742,222,390,764,331,258,528,049,291,180,376,953,605,803,641,579,
870,090,899,897,000,343,519,999,776,833,035,079,447,991,345,471,619,146,341,
872,346,155,698,229,926,096,074,688,052,955,916,340,857,931,641,272,309,216,
232,066,001,102,240,619,531,471,261,880,458,000,006,183,653,823,259,052,574,
046,375,546,423,824,472,854,650,470,896,058,340,674,529,887,903,916,488,985,
699,526,822,094,363,910,722,255,941,645,320,372,877,701,585,091,894,811,036,
345,269,320,401,598,669,428,686,429,343,316,048,577,156,841,980,163,871,657,
379,891,525,372,358,143,310,012,820,958,192,173,815,014,605,525,623,999,654,
585,320,205,087,558,229,064,959,973,170,730,178,304,708,572,498,870,364,534,
403,483,524,107,918,121,159,106,640,837,623,848,225,082,003,928,578,037,122,
618,459,969,474,481,028,167,503,705,230,409,035,231,183,247,176,330,407,472,
717,635,925,099,721,833,958,217,225,709,863,264,316,989,396,081,612,538,943,
398,737,368,396,916,108,831,561,259,273,441,664,979,521,325,656,157,843,981,
338,623,243,067,472,359,282,442,061,436,946,705,786,763,016,363,187,412,922,
196,643,697,706,583,125,731,592,003,991,379,511,252,896,094,869,783,963,576,
811,477,743,911,282,491,632,749,912,862,205,020,789,538,714,103,967,579,184,
717,597,390,278,060,417,005,540,511,138,339,823,834,385,594,862,692,515,916,
531,676,734,592,667,348,621,526,517,444,158,171,825,685,537,406,770,171,237,
881,736,745,154,177,516,120,245,179,294,321,890,262,116,320,576,096,930,840,
414,783,496,516,424,918,809,883,541,349,861,055,022,972,231,628,598,217,638,
893,025,685,216,596,174,174,470,322,775,385,342,077,393,508,320,974,274,899,
860,481,066,788,680,054,805,685,918,298,731,451,395,146,667,970,568,647,733,
884,746,237,477,262,689,099,573,590,164,448,450,624,902,660,707,236,383,200,
367,333,054,715,132,752,803,921,960,553,114,308,519,498,574,997,326,211,746,
118,488,923,058,255,083,730,430,945,214,114,668,969,378,576,850,672,504,343,
019,256,798,519,237,122,968,043,231,788,987,722,996,395,835,104,846,370,460,
231,090,478,423,204,755,100,418,710,442,400,525,035,416,064,686,616,733,512,
694,090,013,872,630,001,185,881,049,457,903,514,915,422,788,916,112,376,538,
742,529,543,118,550,452,404,825,637,557,449,437,790,824,385,531,128,280,008,
741,846,256,598,201,197,304,161,795,432,368,369,069,317,753,196,685,700,749,
049,173,923,626,187,449,475,440,692,422,947,420,669,984,959,551,097,987,482,
190,830,734,878,345,097,743,515,866,739,748,602,063,105,347,140,330,025,511,
679,291,534,739,730,316,091,406,433,568,609,518,220,772,649,400,567,850,833,
376,510,745,246,444,367,821,625,187,039,472,431,683,889,543,959,343,290,929,
274,641,038,157,653,524,294,409,348,866,818,372,911,955,360,534,257,598,991,
205,583,696,121,521,451,418,347,367,044,884,776,679,031,483,352,843,228,895,
267,222,737,654,523,067,820,060,228,369,292,028,868,453,785,033,409,593,959,
389,282,012,955,970,487,940,862,966,842,880,465,615,120,260,354,160,306,213,
161,630,782,920,728,702,831,675,768,017,022,312,320,446,493,195,601,162,009,
416,738,156,394,081,565,873,158,766,975,959,901,438,960,971,847,568,359,620,
868,238,623,012,979,092,181,225,954,950,368,257,883,958,132,775,676,166,343,
942,331,170,949,097,529,514,175,406,458,196,620,940,610,350,314,767,787,977,
384,376,707,040,155,740,582,158,980,907,331,708,845,468,300,543,026,620,458,
760,359,880,247,330,002,807,025,093,288,289,353,237,603,267,890,189,323,733,
433,412,675,324,187,834,469,121,250,398,040,627,432,062,518,331,213,197,842,
793,657,631,571,602,877,012,935,962,468,530,258,666,308,787,143,870,100,684,
229,358,744,960,005,993,594,581,136,483,849,941,285,448,448,565,243,559,509,
195,061,750,485,823,398,141,276,167,883,253,959,990,649,720,197,481,194,419,
083,217,876,569,155,381,011,527,436,719,804,683,772,469,824,304,284,644,890,
655,458,601,490,965,082,462,711,022,408,781,668,828,866,232,735,305,617,535,
407,730,011,053,793,085,966,606,657,115,516,435,663,663,297,498,127,890,367,
538,910,596,955,044,651,410,915,136,704,405,926,370,501,931,179,241,112,628,
858,386,252,153,085,304,553,837,011,835,506,201,668,441,543,697,371,284,750,
082,718,783,966,611,163,304,975,900,848,538,202,703,692,339,986,732,879,018,
454,461,221,706,618,341,806,845,660,399,757,169,751,991,068,506,154,176,556,
151,525,747,316,579,998,185,442,093,896,148,126,553,190,982,972,462,770,867,
095,416,140,328,278,256,834,642,583,541,566,213,557,125,750,455,923,426,101,
191,835,944,081,825,101,023,129,684,319,450,707,569,053,838,434,524,377,973,
141,060,346,500,996,524,129,171,250,797,918,300,879,752,131,905,957,271,284,
369,429,965,192,386,819,153,943,433,919,927,952,930,516,283,133,418,358,596,
070,466,285,713,671,226,520,087,710,975,262,634,834,878,640,813,489,088,596,
258,845,050,652,437,855,170,696,400,780,940,919,535,239,188,944,969,478,004,
407,569,484,383,794,294,338,188,882,303,475,687,960,664,720,644,556,326,745,
919,665,941,603,668,793,185,536,181,254,278,331,039,999,678,574,049,554,037,
679,567,580,970,568,412,579,856,887,941,413,433,641,167,475,825,934,269,538,
184,339,070,759,768,877,701,380,533,294,839,998,493,559,261,488,294,922,345,
751,598,461,031,689,365,822,898,775,453,839,844,876,110,774,380,027,464,490,
573,468,722,260,435,415,080,900,880,136,031,994,690,921,574,177,463,028,539,
266,547,529,278,426,407,014,725,244,833,346,831,316,089,759,385,131,689,246,
300,938,051,221,171,043,261,145,883,798,787,625,221,556,547,126,760,756,848,
096,938,504,466,664,662,629,735,106,111,184,434,078,125,804,563,554,325,951,
580,968,553,941,301,243,223,321,736,868,238,448,556,037,420,286,532,774,148,
896,899,289,319,338,337,398,970,502,536,283,270,930,317,690,065,140,141,779,
339,539,081,187,957,023,206,476,042,788,863,736,448,394,677,379,712,139,918,
490,740,506,830,006,836,204,435,814,066,853,616,666,118,600,709,590,403,285,
991,665,458,075,991,118,646,032,264,159,520,345,980,417,771,535,804,077,006,
805,041,563,627,139,108,756,797,886,700,569,485,895,058,951,567,052,176,951,
503,354,514,532,877,096,909,605,464,881,799,009,741,195,102,375,753,631,844,
450,161,162,000,990,773,939,584,384,436,589,825,516,233,393,284,781,156,318,
444,565,880,686,746,816,719,102,100,987,871,852,034,521,277,126,606,888,577,
781,791,941,498,382,668,788,094,514,712,991,127,582,540,737,308,455,950,244,
244,414,064,541,479,956,490,075,298,675,773,058,596,064,160,834,776,382,288,
823,984,758,491,624,096,632,505,906,371,705,662,360,562,197,723,162,936,082,
361,056,511,291,061,645,580,017,662,823,179,641,316,111,137,970,165,083,209,
279,877,040,319,030,069,155,335,639,662,796,021,148,954,054,032,971,164,785,
053,406,350,637,306,556,537,672,392,521,322,599,268,204,185,462,948,090,257,
832,190,758,787,603,595,585,312,456,664,354,718,392,335,048,826,633,199,037,
323,268,681,633,399,520,146,106,397,151,121,040,020,827,302,306,801,075,956,
012,299,395,303,584,849,893,132,620,565,654,126,400,941,351,351,635,073,903,
315,539,803,455,163,258,501,069,507,088,965,272,127,025,314,242,967,470,786,
853,690,616,090,718,199,024,913,038,771,997,592,726,441,767,006,314,758,088,
718,451,778,815,537,579,064,142,519,960,665,485,362,292,822,769,810,087,671,
775,648,309,916,315,328,906,242,261,784,848,724,713,919,340,896,125,191,220,
988,842,462,425,878,386,689,092,720,768,283,748,794,958,384,019,767,815,658,
701,913,346,668,966,759,490,438,826,368,780,495,838,077,303,079,189,794,574,
921,503,321,369,442,487,858,029,245,050,229,342,615,376,043,324,830,079,906,
387,085,157,064,909,126,918,396,445,248,196,031,577,559,941,064,843,393,918,
819,214,839,855,322,147,787,721,125,239,062,691,585,318,710,776,049,744,273,
479,633,448,761,692,085,744,534,217,459,399,641,371,760,791,286,335,099,420,
296,040,112,862,615,578,914,522,540,467,877,483,425,104,117,854,447,807,979,
060,175,467,829,488,245,061,282,459,171,927,450,236,582,830,334,402,273,908,
431,914,096,336,944,606,323,668,086,031,150,144,028,808,958,884,257,949,012,
699,654,327,814,919,570,079,938,474,535,429,714,952,309,064,191,949,469,475,
475,095,747,008,569,598,602,114,029,214,554,266,253,063,970,114,146,066,257,
596,391,138,156,692,335,103,185,185,834,264,588,092,167,312,157,763,399,822,
197,323,258,079,086,452,345,190,676,286,857,002,505,199,537,150,185,312,340,
373,916,744,795,968,248,342,708,220,099,921,102,440,872,739,798,777,297,104,
757,293,827,221,402,772,047,885,716,375,257,035,866,954,148,539,651,832,969,
753,067,879,272,480,051,027,980,311,130,714,178,664,581,785,941,417,180,737,
119,852,229,660,906,431,238,491,196,231,226,888,404,143,692,380,050,232,598,
511,686,830,948,888,471,230,070,387,629,834,715,078,743,831,566,911,165,337,
514,285,255,559,201,180,120,728,232,822,529,867,910,027,053,606,543,447,684,
025,991,521,567,626,740,712,676,434,775,347,458,864,917,581,422,516,883,432,
262,920,523,678,936,371,750,902,094,360,766,092,339,411,803,049,362,152,129,
546,908,890,027,762,717,203,328,036,932,050,365,400,804,122,089,302,783,106,
971,071,854,382,454,003,279,557,711,989,572,897,464,260,049,602,517,407,654,
627,537,082,813,215,148,671,925,338,688,297,396,111,068,729,698,773,807,903,
238,423,213,422,725,049,177,513,834,330,557,946,879,485,287,144,929,683,771,
902,267,618,910,792,682,919,528,927,857,978,716,855,093,478,900,299,200,212,
808,830,037,411,062,904,008,144,710,137,207,187,429,934,086,198,472,997,625,
171,196,719,045,141,400,892,994,620,979,308,695,186,743,831,371,179,858,837,
493,948,461,475,387,993,701,973,609,108,195,080,401,443,178,011,451,461,503,
440,605,480,336,645,198,531,537,048,901,522,515,377,990,822,873,537,513,847,
191,937,804,635,566,107,825,500,588,187,693,840,030,074,673,413,211,745,637,
815,576,381,172,091,664,935,679,707,157,659,378,690,380,211,355,232,589,413,
149,858,258,188,370,688,899,749,420,709,079,756,199,367,659,031,695,046,933,
043,958,425,608,526,534,473,521,904,163,367,057,121,612,301,732,715,928,647,
497,789,998,498,843,989,094,356,148,460,608,308,736,353,875,688,490,257,964,
053,160,469,912,488,314,846,745,295,345,779,785,051,337,308,963,460,893,047,
670,457,693,269,233,763,270,599,782,948,825,016,745,500,900,965,844,949,009,
224,629,086,215,378,792,620,317,081,926,774,700,844,865,935,740,597,377,516,
936,539,998,218,651,243,858,917,984,648,289,448,495,131,359,634,621,369,145,
136,939,956,299,209,522,052,013,191,810,019,052,386,679,076,900,039,615,411,
722,458,944,386,013,315,869,306,588,887,320,082,046,368,818,497,483,419,099,
614,743,601,954,255,432,711,912,675,523,476,100,649,451,743,909,496,712,410,
577,314,444,986,715,338,306,305,647,872,399,789,322,086,085,077,262,661,573,
155,054,509,142,429,200,507,364,240,087,013,414,723,415,268,106,434,265,555,
193,729,699,102,282,707,010,266,726,816,170,239,334,351,489,147,457,891,345,
296,673,112,229,606,816,939,236,086,911,668,014,841,935,286,759,243,271,831,
562,999,802,596,043,822,212,537,068,839,315,877,385,501,368,520,312,443,547,
734,969,609,746,457,807,938,416,352,524,860,930,220,161,675,193,054,150,434,
349,543,203,597,633,198,810,267,241,842,057,200,176,799,900,435,743,844,526,
915,281,183,814,484,318,810,510,626,157,897,531,894,059,781,081,441,546,240,
385,806,140,835,074,499,917,425,906,697,304,370,959,168,759,072,895,357,338,
693,128,729,075,898,988,888,081,936,361,268,390,956,728,898,605,161,454,873,
049,233,478,159,476,769,891,034,198,331,973,639,654,602,348,511,382,745,294,
352,445,292,592,078,931,986,029,771,997,335,943,006,858,213,845,871,479,691,
504,643,729,507,168,038,867,393,688,058,540,975,716,609,895,568,821,791,651,
966,111,783,466,532,611,066,532,241,299,971,427,306,219,126,828,782,099,572,
123,097,832,534,569,649,312,556,713,625,340,432,578,596,268,764,301,836,856,
049,740,530,192,831,701,840,949,844,963,097,734,015,331,517,625,670,922,128,
223,920,082,158,837,351,906,828,765,992,131,065,604,187,503,604,199,593,346,
942,937,231,836,251,729,582,401,128,689,350,286,061,114,069,587,228,166,841,
580,571,079,871,605,870,612,408,606,996,808,925,811,611,609,743,803,269,389,
426,120,539,756,180,103,925,172,779,326,550,500,074,889,353,771,892,942,669,
128,437,527,844,987,181,502,408,840,366,334,575,097,997,097,332,551,686,309,
747,710,544,186,567,763,118,257,401,085,980,635,792,290,654,233,903,099,580,
543,374,907,117,533,101,022,240,916,543,336,155,012,438,782,394,166,204,194,
055,243,564,048,726,100,744,402,080,424,959,648,690,221,190,728,919,623,309,
762,353,711,183,778,336,881,125,656,060,177,059,964,194,401,574,023,861,527,
027,573,261,173,310,711,308,547,771,756,997,672,219,396,609,302,399,359,415,
558,067,905,914,250,887,452,392,459,349,615,256,072,397,467,694,826,022,428,
479,532,273,093,263,426,909,202,106,932,402,307,957,171,849,791,097,206,714,
886,511,243,888,996,390,643,910,326,489,639,153,058,666,124,303,505,995,469,
926,112,154,169,484,285,269,353,687,439,780,522,423,540,262,199,093,790,481,
848,813,598,613,100,424,402,236,560,914,916,371,305,735,895,359,779,729,861,
039,575,889,347,830,542,300,909,964,452,824,347,868,656,206,272,024,356,793,
437,845,495,811,385,278,625,983,054,293,945,760,545,243,805,764,967,950,402,
694,603,371,437,862,333,063,856,028,250,837,568,990,380,325,626,174,522,787,
084,636,647,762,218,471,746,956,504,348,371,387,169,022,367,966,595,823,806,
160,771,823,135,686,332,921,833,866,723,797,429,760,368,350,859,876,439,244,
452,363,644,857,831,314,701,296,978,423,203,466,491,491,220,535,591,637,521,
937,488,885,937,825,814,541,187,270,528,517,364,941,208,959,511,168,082,354,
610,815,258,359,240,545,158,556,068,742,700,943,630,145,988,063,812,043,957,
263,451,360,498,174,123,806,926,852,738,779,817,946,317,339,270,081,960,011,
812,230,029,838,139,907,588,283,975,130,317,852,470,906,428,999,970,671,153,
555,843,905,065,332,479,890,336,557,412,030,028,973,076,633,535,003,504,543,
231,692,415,972,103,337,238,721,878,647,966,645,734,482,353,164,676,502,780,
756,394,178,205,915,486,589,160,296,243,334,883,668,404,879,670,065,048,552,
873,050,462,118,230,204,928,291,119,289,199,146,424,191,116,348,703,430,699,
288,748,470,109,955,984,400,207,957,059,459,190,615,906,538,335,792,712,572,
124,740,890,156,239,974,949,587,753,293,929,348,956,310,405,523,684,200,364,
547,784,176,481,253,783,092,785,437,725,494,523,224,834,424,613,940,384,722,
244,306,063,176,757,078,181,350,964,786,385,567,366,505,791,345,329,256,785,
576,938,590,734,852,428,604,873,799,365,046,804,614,737,316,868,286,661,374,
464,458,919,663,113,793,461,870,121,324,203,451,443,201,442,975,322,107,349,
769,205,237,266,509,580,664,269,509,431,402,919,828,556,350,762,527,238,411,
658,275,012,363,753,630,301,892,201,794,405,338,905,750,535,299,582,853,227,
488,118,644,020,582,644,754,006,101,583,380,221,523,849,636,409,032,918,734,
618,433,561,511,085,243,866,574,268,679,194,634,629,052,145,044,822,267,050,
857,734,667,149,964,758,695,084,799,028,858,027,475,129,034,478,078,594,423,
567,261,573,376,150,034,827,149,389,413,505,448,890,362,826,563,320,453,265,
625,689,668,864,121,892,589,042,885,673,143,728,172,050,922,360,067,296,849,
167,126,645,542,006,268,785,807,458,222,688,567,427,194,673,420,521,640,627,
145,326,555,485,554,418,543,131,104,728,676,113,698,867,663,000,517,178,378,
995,697,995,665,621,593,093,882,293,543,765,676,643,999,543,295,221,025,288,
291,655,088,076,232,489,991,629,063,372,081,713,572,631,757,543,840,173,550,
408,934,371,201,787,684,534,816,330,076,664,383,813,425,669,804,192,191,396,
944,614,456,849,384,785,406,278,303,085,257,178,736,827,742,534,370,696,662,
055,970,763,490,927,015,354,969,681,618,644,729,644,293,860,851,626,972,008,
553,561,621,981,044,661,624,607,721,955,921,757,041,337,595,807,087,971,202,
476,281,413,158,696,911,535,115,327,021,601,346,996,353,701,442,365,749,382,
949,317,871,810,952,931,587,275,912,809,878,600,589,902,956,528,988,947,049,
121,605,664,527,933,003,849,889,130,422,864,100,919,085,983,775,498,370,930,
954,075,555,026,120,351,682,202,551,504,594,825,927,651,700,612,427,418,472,
816,411,616,312,826,299,566,332,473,829,241,252,300,789,030,801,464,205,477,
484,999,742,072,440,785,702,899,548,883,734,984,616,285,060,399,179,849,163,
275,742,266,741,171,481,617,970,820,177,067,874,248,258,975,124,374,383,007,
188,525,361,237,854,240,737,126,983,909,642,628,933,159,857,245,126,088,641,
871,030,542,897,597,970,567,475,573,628,710,437,859,300,617,658,331,097,051,
926,838,677,782,360,802,011,224,230,737,189,431,023,131,243,650,287,348,004,
124,876,694,508,242,310,396,198,549,970,303,595,628,000,095,683,569,705,016,
329,162,163,186,649,419,095,312,680,553,224,685,993,344,431,019,784,785,330,
178,759,252,988,774,379,558,647,231,715,313,204,744,158,546,378,756,102,968,
992,326,231,665,763,829,221,678,978,532,045,702,275,588,306,255,269,503,307,
717,694,393,299,164,109,306,932,441,865,988,313,079,604,877,012,270,369,225,
311,655,075,250,282,875,417,422,515,328,009,414,127,644,770,190,034,207,160,
843,919,010,025,595,784,566,874,308,593,404,961,312,897,742,961,337,315,690,
901,521,858,334,056,334,454,896,308,909,089,764,544,212,448,416,021,949,489,
511,532,514,863,149,559,867,138,991,037,036,068,401,987,882,628,380,545,273,
607,029,995,429,385,840,635,469,039,181,119,722,519,962,538,530,060,601,516,
952,383,271,921,843,833,815,110,972,360,379,117,028,910,152,119,386,274,157,
868,522,594,666,906,069,481,741,763,301,703,412,142,617,076,361,687,026,838,
353,207,471,438,918,737,079,145,962,700,374,860,454,397,434,492,433,454,542,
659,871,667,358,807,659,892,873,021,547,698,351,936,101,583,552,844,308,107,
067,698,656,403,718,558,604,369,071,224,278,500,027,862,299,548,705,648,043,
117,254,965,208,495,668,093,506,211,187,579,494,836,959,938,291,748,982,610,
857,114,931,606,023,087,040,084,255,541,150,444,014,039,866,003,720,744,121,
488,970,830,616,739,281,455,391,820,189,737,375,823,649,058,993,327,910,426,
950,927,675,632,783,805,692,918,478,836,779,258,878,830,631,668,694,244,859,
608,592,646,929,276,717,841,030,696,234,763,856,232,399,446,826,712,718,299,
087,833,789,889,145,383,183,164,611,770,950,222,952,118,801,016,152,479,241,
213,641,451,179,170,539,945,152,045,521,855,528,197,727,598,372,253,724,462,
862,635,190,694,086,029,938,133,742,973,554,973,818,252,156,561,757,267,308,
340,786,991,418,653,733,714,239,947,667,486,313,693,297,272,276,173,084,653,
907,224,538,783,152,461,420,165,183,039,232,111,078,549,402,925,677,471,520,
842,950,307,041,082,634,012,867,089,003,161,171,688,669,744,165,244,692,924,
359,317,841,969,569,367,366,765,647,228,344,811,719,534,281,937,920,530,125,
655,431,597,925,210,992,522,734,650,006,024,364,698,885,498,793,005,566,734,
507,461,353,737,574,830,599,113,918,221,719,696,344,705,190,787,451,787,688,
052,314,736,837,947,010,026,328,123,458,112,262,046,870,892,554,254,859,786,
795,801,384,958,949,304,399,530,036,840,868,743,228,535,972,194,611,383,763,
662,455,065,007,840,511,459,022,580,706,425,868,969,129,339,917,848,204,545,
051,353,151,885,331,915,441,091,593,521,208,444,578,395,020,020,534,456,291,
858,962,448,249,817,031,503,509,153,305,366,470,784,243,991,096,550,794,970,
708,516,680,769,041,337,024,419,902,829,336,261,239,803,465,601,355,655,898,
322,032,500,397,173,032,916,776,857,368,149,279,277,939,582,465,006,669,798,
769,006,416,286,141,274,036,006,067,459,087,869,014,992,887,376,962,705,151,
935,221,322,656,709,271,618,760,421,652,958,853,951,269,708,487,505,592,030,
869,270,756,420,043,539,791,973,138,806,599,819,665,744,163,715,653,907,690,
169,495,524,786,039,464,178,968,378,973,769,642,418,004,746,257,163,219,502,
646,074,503,428,995,222,643,465,635,720,126,687,133,799,133,918,221,172,395,
703,873,872,974,070,937,828,648,019,233,608,248,427,134,541,927,421,707,953,
005,048,326,925,913,198,711,725,404,870,152,268,636,240,889,848,882,125,721,
986,022,699,611,328,236,851,778,661,356,445,453,674,043,879,521,433,676,634,
080,304,158,613,982,636,413,115,798,716,108,437,357,656,846,246,661,816,451,
624,071,898,549,371,108,085,951,196,672,362,370,167,140,759,237,367,430,981,
262,564,642,234,816,679,982,752,932,643,263,597,052,266,717,888,622,625,446,
018,749,555,694,543,434,219,234,200,415,662,585,654,596,575,482,477,583,719,
901,744,250,342,824,134,949,087,460,088,335,472,355,058,486,399,043,071,032,
588,539,052,204,483,896,833,334,588,971,253,453,745,627,189,652,248,976,324,
461,372,663,366,518,275,320,911,675,204,779,022,712,166,787,246,861,641,393,
275,555,608,152,932,379,528,343,812,962,870,375,592,433,499,474,566,393,710,
256,395,892,290,841,408,738,308,778,789,165,929,593,270,148,441,997,569,372,
011,810,540,226,388,267,759,067,401,681,552,601,653,741,560,768,525,596,026,
263,453,265,061,806,097,307,863,755,318,731,727,821,589,615,151,666,633,734,
928,026,736,002,044,444,605,867,403,551,876,593,629,746,272,837,279,000,321,
358,898,253,090,026,716,782,742,316,855,459,492,107,864,627,507,085,178,491,
998,170,634,673,454,834,497,396,350,422,660,045,764,602,784,484,683,577,562,
346,998,057,869,742,246,370,832,569,738,087,802,363,303,700,457,131,741,315,
173,046,044,846,227,566,435,074,026,597,854,479,418,835,437,453,873,643,933,
511,180,927,605,629,026,027,992,447,806,893,992,192,373,276,096,526,167,967,
582,539,729,349,108,327,148,386,096,181,858,628,996,495,188,075,187,608,980,
968,991,147,546,408,718,109,400,938,142,779,905,528,253,330,165,503,860,270,
357,374,765,057,519,210,793,563,354,128,087,418,505,821,590,102,951,576,924,
089,979,055,426,574,833,142,177,560,961,017,741,661,377,496,455,740,494,355,
299,126,502,019,369,575,697,947,322,860,386,332,421,957,141,355,297,229,704,
885,340,070,512,686,146,635,484,669,777,320,917,924,023,274,321,588,483,231,
165,327,958,819,364,872,280,215,578,903,182,711,941,860,791,411,945,676,151,
846,972,979,817,131,800,958,834,990,365,888,341,797,316,052,718,584,394,761,
680,210,256,627,355,698,597,138,192,044,122,093,454,200,181,609,854,377,107,
715,068,719,303,729,477,294,599,754,275,290,297,041,711,616,839,581,950,106,
162,883,666,037,746,762,418,048,516,126,652,408,035,891,983,767,045,824,901,
085,640,002,015,325,397,341,419,308,154,845,108,656,096,548,029,856,355,525,
353,491,474,396,710,676,468,440,496,326,424,680,732,705,499,188,389,685,383,
263,055,441,166,489,981,600,354,528,476,057,317,533,813,837,673,421,465,788,
511,770,199,548,472,512,833,054,295,584,842,289,366,336,265,603,801,727,500,
008,651,451,833,882,052,617,838,560,404,633,871,784,495,512,789,724,185,024,
134,859,212,990,578,656,471,225,357,375,129,880,127,600,746,998,321,443,652,
175,449,509,106,431,763,258,106,406,802,940,111,748,549,969,757,306,464,603,
138,580,686,252,770,810,992,203,819,286,483,226,046,555,994,629,458,809,337,
003,332,897,495,071,320,667,870,070,717,924,283,467,941,034,447,012,069,139,
316,008,839,851,773,129,880,740,710,027,105,251,984,080,723,341,801,148,130,
030,076,125,062,483,539,529,567,716,993,808,641,298,374,992,255,980,664,852,
639,597,615,033,762,573,509,818,864,680,829,972,888,312,502,632,437,614,250,
380,279,270,471,974,968,083,866,621,622,997,817,938,220,461,283,992,448,810,
789,158,431,009,183,788,615,256,623,829,884,005,220,431,462,574,998,037,815,
067,533,671,840,917,356,314,339,529,622,289,619,125,369,926,142,178,148,110,
744,844,392,208,613,464,452,567,818,374,829,706,763,996,691,250,961,503,813,
415,005,679,179,852,751,289,175,996,604,317,417,132,692,233,810,663,805,745,
327,904,153,422,578,861,281,647,563,847,965,569,858,528,442,717,888,581,238,
640,480,623,267,228,409,895,786,235,022,796,639,879,761,750,151,419,971,210,
457,764,133,987,736,993,018,938,324,850,698,262,418,052,648,513,989,422,338,
345,767,322,858,464,954,190,218,946,606,811,827,110,353,124,256,231,346,226,
655,271,422,026,232,438,342,263,489,027,228,765,159,840,856,337,443,042,560,
065,082,018,604,672,375,516,474,707,422,270,810,851,901,573,422,662,599,447,
766,331,824,554,509,661,336,489,671,810,933,939,077,080,269,619,458,251,901,
617,758,139,445,098,971,637,024,458,657,196,609,042,438,755,641,312,130,401,
816,177,028,545,708,026,815,029,035,692,908,326,550,514,176,117,924,204,797,
393,903,346,369,345,850,183,010,785,657,748,924,989,698,416,315,851,238,800,
266,096,091,579,082,539,320,672,813,204,401,074,131,103,508,227,420,894,164,
681,316,888,892,986,049,254,904,058,661,765,775,811,436,547,451,086,695,762,
137,058,756,472,301,388,842,759,926,109,619,337,135,237,711,627,926,136,095,
085,058,781,825,895,882,999,428,642,296,533,241,397,999,291,963,096,426,999,
467,403,373,364,183,555,030,019,092,213,164,324,524,103,638,589,674,724,484,
116,167,990,128,696,792,328,294,136,036,936,968,793,563,215,446,687,523,609,
670,970,053,745,647,644,678,736,878,215,679,450,253,900,015,948,258,232,313,
603,334,517,772,446,703,323,590,873,645,279,614,132,353,401,658,987,482,167,
768,808,528,365,024,515,201,030,622,356,763,334,403,650,233,497,077,703,840,
470,445,159,151,440,704,889,555,335,641,087,864,457,368,735,329,880,292,125,
674,333,660,414,793,210,737,156,471,192,489,337,483,135,656,873,687,111,500,
651,364,681,676,687,154,295,745,745,202,435,260,078,176,196,661,965,948,612,
591,430,030,587,287,365,104,691,137,523,270,786,322,109,177,344,578,261,534,
624,859,995,603,124,703,827,388,658,549,238,077,829,535,195,940,147,185,914,
443,818,499,027,286,019,168,690,254,796,312,750,806,939,539,544,002,379,043,
770,513,315,322,053,884,952,648,008,781,611,828,748,113,305,231,550,265,412,
129,662,193,775,042,524,592,296,466,707,622,108,701,511,142,772,803,181,210,
300,200,869,977,394,437,781,192,048,025,540,279,190,719,088,028,705,138,038,
339,033,083,999,119,314,466,415,647,231,127,496,414,930,206,244,766,463,689,
364,968,625,027,763,161,997,774,369,247,650,173,417,609,423,131,610,644,659,
437,267,832,830,834,939,798,592,425,231,066,505,808,948,608,980,338,510,884,
308,017,024,613,187,741,609,039,328,728,108,045,316,967,228,786,133,114,181,
684,904,935,652,110,029,718,450,373,213,120,213,307,006,448,465,659,145,015,
060,580,261,108,807,697,452,063,679,139,753,769,018,232,723,787,218,502,105,
307,022,953,573,448,990,810,803,961,179,133,087,138,026,869,457,614,026,585,
040,398,502,226,847,825,307,627,662,432,960,281,012,765,672,744,043,509,639,
767,370,661,485,050,334,875,290,849,711,303,907,088,880,933,780,924,183,594,
644,839,939,668,777,915,213,320,090,857,270,300,836,761,753,369,986,760,846,
600,268,837,369,813,274,872,392,882,694,719,071,142,117,995,505,840,125,558,
985,595,282,758,154,523,098,707,827,010,306,295,160,142,314,590,885,084,519,
453,318,928,401,385,853,171,014,535,444,512,955,858,360,194,503,672,995,742,
389,325,852,276,866,238,226,234,888,608,518,269,250,420,356,314,980,325,183,
854,677,607,349,109,428,629,740,393,259,324,807,127,251,179,294,107,993,676,
557,722,173,582,525,833,007,726,096,309,553,596,597,344,679,288,196,264,486,
986,128,375,360,320,112,627,456,855,213,382,481,271,581,583,966,172,809,579,
565,235,345,527,340,473,232,361,778,777,375,530,815,450,360,578,644,719,171,
860,542,412,014,333,646,151,004,931,951,184,925,051,628,836,981,416,812,589,
028,419,271,374,808,117,954,664,403,454,751,557,290,469,991,332,066,946,083,
761,634,570,381,522,158,715,993,132,301,873,861,797,705,085,637,599,852,266,
936,593,338,079,445,180,582,429,090,342,714,939,233,986,386,575,873,351,077,
578,254,537,166,399,466,514,605,182,801,476,288,668,223,697,693,019,582,044,
668,580,624,590,245,790,684,148,765,390,478,419,662,968,600,144,435,961,661,
628,165,384,343,563,020,898,777,816,281,271,249,403,132,237,183,613,823,096,
513,104,766,779,344,926,602,788,900,702,278,893,255,604,587,079,026,771,386,
383,932,439,084,733,620,271,679,734,768,566,183,611,897,412,815,203,905,202,
010,827,351,089,022,341,801,010,457,999,792,533,716,162,319,079,854,554,186,
745,016,039,659,350,495,637,848,269,774,623,104,786,763,242,894,608,849,949,
756,261,391,005,224,484,764,420,698,404,547,970,533,882,864,172,872,965,932,
085,799,413,517,505,661,938,791,487,429,428,580,008,352,598,639,066,882,738,
091,268,710,784,487,486,207,878,431,478,938,851,775,748,344,272,344,414,222,
257,292,132,211,029,527,698,091,758,643,360,967,267,948,378,197,270,530,106,
508,727,444,681,765,566,291,519,934,106,038,411,314,691,284,655,747,153,864,
573,515,407,955,372,340,163,859,227,418,636,241,706,337,852,756,094,178,222,
511,455,851,876,290,136,746,756,909,581,775,956,977,235,156,560,189,830,138,
531,890,890,683,558,740,454,809,304,817,425,718,678,384,168,276,740,939,672,
371,309,277,599,500,666,762,793,571,788,727,457,585,025,949,135,188,880,009,
201,802,025,765,224,043,990,928,769,103,674,590,384,846,848,966,320,510,804,
345,425,470,271,770,659,235,268,843,062,175,594,495,891,071,582,215,249,519,
235,186,734,684,813,166,949,832,268,062,566,104,803,981,785,417,792,046,152,
169,449,804,732,401,164,851,745,866,729,587,600,276,782,849,431,287,815,669,
650,614,625,694,755,754,168,053,823,920,861,558,403,888,180,247,857,351,653,
912,971,575,084,943,568,913,406,517,239,575,742,864,783,354,774,493,800,767,
969,163,215,832,232,405,463,298,880,519,604,387,648,476,889,803,039,675,539,
912,868,172,793,177,751,671,656,555,350,219,134,096,777,906,623,901,749,622,
509,814,080,747,307,462,575,383,746,480,556,509,296,264,326,606,062,348,648,
270,725,323,283,307,061,076,276,485,976,090,675,324,977,487,287,758,515,536,
795,260,093,452,500,539,483,783,731,771,233,270,870,771,921,971,272,495,324,
232,310,280,778,682,002,178,633,315,012,893,866,101,437,306,356,685,442,965,
205,531,781,740,219,036,539,751,470,993,368,378,721,405,100,568,703,402,573,
365,006,631,998,479,319,975,092,481,293,393,440,634,224,038,288,058,873,197,
296,278,134,630,499,440,086,129,639,893,903,821,458,184,014,800,989,987,661,
164,644,879,467,155,780,267,941,870,232,149,728,935,563,590,436,927,667,612,
797,215,046,314,810,047,284,797,908,943,200,890,191,047,514,978,845,441,130,
154,233,546,513,402,693,872,688,225,572,321,380,585,908,049,500,706,327,048,
946,183,012,042,931,578,158,958,665,449,642,904,588,185,615,473,928,302,721,
277,934,912,216,119,209,262,677,132,691,823,238,449,653,159,728,256,883,515,
582,841,017,639,380,165,344,304,950,246,964,515,500,289,886,866,299,870,582,
991,976,474,589,697,020,833,881,506,265,493,990,520,740,264,654,881,845,451,
008,302,249,975,575,409,318,408,364,285,418,090,072,891,564,841,351,712,906,
566,737,171,557,077,848,687,693,211,480,945,055,106,779,034,466,203,226,217,
618,598,506,016,968,136,369,427,082,188,429,407,130,600,782,907,019,554,060,
634,741,419,564,426,468,928,057,310,711,310,855,944,802,351,981,009,368,672,
626,774,690,529,105,186,029,838,636,991,943,555,440,733,635,064,520,713,361,
409,921,769,227,125,365,126,427,838,025,856,282,672,378,989,255,252,915,174,
695,719,715,043,985,552,319,086,351,959,781,962,943,486,759,959,592,755,719,
971,011,405,725,809,037,016,220,348,177,184,024,619,139,207,282,038,754,092,
078,233,447,977,530,912,078,150,418,557,503,471,917,772,479,090,773,771,142,
953,084,818,154,791,448,044,545,319,740,001,582,762,830,009,616,872,369,338,
123,370,669,177,823,579,749,273,252,260,989,766,430,489,384,698,336,267,366,
169,596,387,164,643,948,485,394,815,629,527,217,074,017,454,425,513,607,822,
133,465,217,010,546,555,252,645,562,162,076,228,951,894,558,219,598,490,487,
969,705,155,083,851,647,831,990,058,941,314,018,978,329,852,143,572,743,948,
475,542,064,497,481,179,121,138,051,800,619,027,755,990,559,091,383,132,129,
152,858,711,711,433,164,839,392,902,003,494,622,764,965,048,051,436,554,947,
943,270,471,313,777,698,169,320,381,084,061,558,233,942,614,734,313,727,260,
382,279,439,959,482,268,290,238,404,075,769,453,529,970,527,256,043,355,928,
588,385,880,150,669,713,698,186,605,859,342,003,388,079,370,140,410,849,488,
759,063,838,943,010,002,497,236,742,449,070,641,203,133,332,686,310,955,927,
699,056,422,714,740,182,442,368,736,239,118,764,618,226,148,038,427,907,001,
118,020,580,602,961,424,312,951,941,576,413,146,331,619,029,166,033,877,586,
403,329,827,110,627,940,873,209,777,035,794,936,614,320,314,417,546,981,358,
282,462,779,834,119,303,272,766,867,355,847,646,076,345,397,800,057,050,115,
363,280,531,189,104,904,030,670,487,613,518,100,822,618,317,995,919,393,848,
898,160,020,310,537,257,208,258,638,617,886,128,178,006,457,213,652,048,709,
101,440,236,248,315,512,539,082,134,623,590,200,030,938,668,068,691,800,139,
469,509,398,431,063,556,056,336,877,716,477,027,089,473,052,011,565,124,480,
524,398,949,995,564,299,635,900,424,162,080,248,013,864,590,945,157,357,862,
231,392,809,240,149,917,894,315,280,542,850,871,433,125,859,710,787,421,158,
125,636,264,428,302,507,148,910,627,096,364,705,553,491,571,659,344,720,659,
402,985,814,970,651,509,744,374,909,141,337,148,562,550,619,691,919,804,537,
018,516,751,808,217,884,828,285,316,580,343,666,212,198,435,003,309,966,126,
202,965,790,409,583,654,793,940,768,882,812,331,274,586,109,905,150,068,130,
425,916,920,918,686,707,120,227,415,626,091,563,365,700,813,803,767,750,673,
104,049,814,468,773,981,758,499,754,526,833,804,964,303,513,605,426,705,318,
071,095,754,320,684,749,748,106,266,282,000,467,944,856,912,282,681,757,338,
877,716,139,798,789,787,116,649,865,791,538,118,854,953,475,268,254,138,215,
548,476,387,600,620,058,530,986,958,968,143,516,054,927,798,163,396,774,529,
262,330,185,962,171,526,768,406,747,916,047,453,229,146,506,099,682,448,481,
059,644,448,223,345,460,980,851,359,697,015,732,399,326,378,787,001,537,555,
997,637,634,815,059,078,645,529,208,927,648,966,624,349,688,631,226,151,138,
328,039,429,490,222,174,408,805,914,732,104,777,742,690,312,533,217,486,636,
015,504,086,598,010,323,034,595,408,424,863,040,338,706,146,954,744,396,065,
456,885,719,777,199,079,195,917,457,307,648,999,167,764,064,818,623,527,209,
913,769,050,639,744,596,764,243,776,012,681,439,967,646,992,185,238,923,359,
516,564,662,484,880,442,734,726,841,809,644,642,441,987,918,752,997,577,894,
718,850,692,780,338,457,063,600,270,016,040,004,698,412,059,995,598,011,480,
381,945,418,868,324,301,410,966,654,595,436,884,776,180,687,870,032,204,971,
682,544,270,960,721,903,773,877,277,853,081,900,035,380,330,066,463,152,674,
789,229,852,180,875,391,106,967,090,831,834,478,108,495,199,552,416,246,930,
599,939,253,807,480,732,150,982,498,218,700,264,737,020,337,106,013,444,620,
442,160,067,492,504,636,676,775,082,357,427,353,708,492,394,012,427,460,292,
488,951,764,679,166,232,814,659,020,075,510,063,202,747,185,267,074,648,404,
360,001,290,432,981,506,301,087,015,906,321,785,893,679,196,330,208,051,093,
066,034,094,789,006,633,459,627,376,707,619,366,519,588,790,547,660,185,832,
329,043,389,012,710,207,399,624,778,319,637,923,392,907,825,098,583,376,137,
406,085,637,667,842,320,677,433,576,434,555,885,051,171,193,201,129,732,957,
390,198,545,429,648,416,660,973,403,956,845,932,980,076,421,263,806,741,323,
770,712,595,814,055,452,682,410,798,264,279,991,211,205,345,134,736,964,482,
428,927,497,525,936,194,647,496,328,257,540,556,371,062,284,765,311,821,603,
820,599,787,722,500,042,283,329,715,886,941,218,624,701,105,628,784,965,047,
169,130,346,957,380,524,938,089,405,478,195,499,969,287,394,724,671,642,315,
252,016,346,132,599,243,588,442,523,486,138,189,377,125,896,288,093,665,416,
891,877,637,134,178,263,009,467,672,744,146,286,617,833,916,287,634,825,330,
533,921,626,286,122,671,756,890,734,370,909,845,228,632,603,707,534,404,213,
816,983,697,547,964,429,777,273,136,194,120,183,706,442,843,537,651,431,544,
054,188,652,060,795,956,956,687,184,874,723,584,671,459,709,030,028,770,092,
931,715,927,317,469,511,307,095,620,319,502,534,410,158,542,558,265,874,781,
077,154,586,572,509,666,128,686,006,696,458,786,427,213,760,649,452,278,473,
078,718,176,867,247,567,865,171,242,052,088,451,613,840,802,830,753,329,895,
896,604,935,998,532,263,911,818,671,559,089,617,759,755,602,416,627,762,599,
844,708,204,358,287,149,714,902,042,232,180,840,864,625,302,959,946,976,616,
075,542,111,409,981,169,880,924,638,474,361,615,820,650,043,849,151,367,864,
617,191,571,321,586,525,800,007,242,672,926,630,808,519,379,923,832,030,584,
479,880,494,109,341,423,881,093,460,397,494,881,377,165,141,052,902,994,020,
752,025,556,988,994,574,221,345,728,358,145,751,788,378,411,395,432,879,346,
370,296,132,956,667,600,223,392,108,280,730,118,432,260,234,675,572,256,331,
574,811,461,926,527,270,989,385,035,791,410,478,302,712,068,080,603,091,485,
768,785,214,851,114,785,898,538,479,359,236,546,362,899,145,214,603,467,020,
999,410,400,728,417,982,428,654,549,640,655,270,854,079,212,817,615,811,771,
744,956,683,359,854,170,504,517,889,154,918,688,922,174,118,086,377,454,066,
282,182,236,515,665,441,633,872,156,116,857,763,542,652,189,169,221,611,632,
655,625,792,722,898,273,459,012,702,505,077,602,694,691,040,895,188,499,383,
052,605,637,968,855,191,813,951,734,478,278,189,894,928,692,384,055,333,673,
617,684,882,113,671,767,197,049,873,681,349,838,111,520,248,166,708,526,308,
975,502,216,629,809,446,360,455,518,897,974,457,112,217,207,832,069,807,747,
272,338,392,410,070,259,066,311,540,218,126,633,274,582,702,010,143,887,532,
857,186,254,519,438,399,913,679,737,042,375,434,332,218,742,921,508,407,127,
905,278,643,144,292,367,241,012,906,995,993,628,535,941,952,585,361,814,541,
456,200,905,464,414,433,177,087,606,042,090,170,140,229,495,054,216,127,863,
499,638,709,097,902,543,388,436,055,186,796,270,819,925,351,846,453,826,717,
391,947,893,518,441,665,443,678,963,426,038,902,588,998,436,599,712,057,365,
588,479,887,924,765,627,251,484,068,680,322,875,073,857,378,325,900,358,042,
695,913,643,346,051,971,401,858,710,790,613,261,899,736,007,524,377,010,524,
543,977,772,908,242,362,648,932,306,521,226,786,950,083,903,525,602,042,952,
174,352,890,616,897,471,011,042,482,995,787,333,180,606,419,094,416,685,143,
341,212,049,605,000,472,279,687,197,378,761,762,195,018,340,953,837,273,997,
461,132,264,810,229,044,964,583,444,884,158,432,457,880,199,982,391,863,337,
931,541,479,072,713,515,110,327,100,891,780,563,824,850,534,008,400,243,886,
290,682,521,811,966,275,555,222,752,920,683,272,383,464,189,180,245,122,874,
176,600,258,743,703,660,505,688,384,056,753,149,683,422,998,027,666,752,086,
649,940,437,845,645,040,362,793,301,235,854,225,505,719,574,218,543,938,546,
728,641,168,328,360,446,987,132,775,812,035,829,825,092,806,729,307,212,735,
857,763,365,267,422,345,263,107,891,597,575,801,199,709,994,701,323,816,416,
659,115,153,356,936,537,374,552,123,742,258,904,041,988,944,438,180,363,057,
872,911,176,194,887,904,600,945,691,365,111,925,245,096,588,484,900,604,444,
776,689,153,115,697,265,995,424,737,566,613,429,340,970,978,296,020,082,675,
175,317,241,979,290,005,229,885,684,759,849,004,974,510,515,604,773,702,232,
074,117,403,983,696,337,164,387,753,660,918,433,539,112,773,442,728,039,528,
248,255,364,001,890,684,546,718,291,796,214,823,010,724,708,732,442,263,793,
934,941,138,460,057,870,540,942,198,375,227,122,048,332,181,860,476,634,265,
827,075,522,662,935,309,187,671,225,833,481,617,944,338,931,643,567,201,918,
196,450,574,153,931,706,866,986,678,174,377,902,753,610,145,659,477,969,715,
996,781,051,318,744,758,613,087,306,496,150,392,990,313,245,640,635,458,352,
628,150,233,133,552,885,443,631,870,447,053,761,536,940,263,812,304,955,214,
469,388,964,034,993,782,593,424,742,974,814,381,037,376,793,841,670,873,045,
200,659,196,998,110,958,610,343,097,438,857,279,402,600,051,346,896,056,039,
311,449,565,433,744,576,409,692,071,241,158,690,144,691,975,334,422,509,169,
451,625,155,215,340,692,830,177,284,587,589,884,123,907,611,157,520,414,428,
263,473,089,100,524,395,911,306,518,180,925,814,888,209,927,089,811,233,431,
903,756,762,872,411,743,617,527,738,013,006,146,797,667,840,972,577,027,958,
554,507,122,211,174,516,694,303,673,805,483,103,375,225,448,401,630,975,936,
845,624,349,006,486,640,972,582,477,749,671,204,436,723,334,526,076,645,884,
106,434,686,470,069,728,785,949,649,999,806,073,802,298,141,804,935,309,826,
312,283,708,645,779,179,808,407,020,561,557,995,825,085,396,835,652,716,440,
605,260,891,367,286,515,249,762,542,471,481,974,627,419,648,945,962,077,972,
262,799,840,797,838,069,487,411,730,954,422,587,768,791,247,187,108,690,778,
685,757,813,450,914,452,390,639,913,457,728,885,061,881,931,442,908,717,259,
123,346,654,256,939,792,216,089,893,478,460,666,905,957,246,306,106,856,548,
340,379,327,802,344,014,321,225,739,104,228,651,573,308,681,158,486,033,178,
415,716,700,706,174,194,063,531,874,071,240,395,552,154,480,981,023,963,844,
206,094,663,176,510,115,133,752,980,861,546,190,571,373,031,998,393,507,532,
093,803,870,517,189,824,919,851,837,715,947,046,241,665,562,778,182,148,517,
657,224,320,927,606,606,532,874,605,976,933,077,687,059,207,064,570,609,729,
591,011,204,950,654,119,605,910,963,381,689,637,755,694,602,493,644,474,601,
738,572,745,459,684,373,218,380,816,862,621,680,975,909,310,346,277,356,864,
093,175,923,730,150,085,376,954,575,505,522,825,562,024,560,493,373,960,793,
153,625,231,364,939,583,493,923,337,147,440,243,163,452,046,625,943,599,378,
972,838,377,174,736,290,865,891,422,701,153,855,958,895,552,840,405,569,431,
641,209,743,066,317,359,105,795,464,054,517,747,853,916,120,624,548,144,148,
502,917,079,482,443,666,012,848,102,039,532,709,760,969,665,915,437,005,446,
273,501,180,401,124,963,360,083,579,936,820,970,102,815,982,126,325,181,455,
570,488,523,167,811,783,669,380,326,334,423,535,394,284,122,290,524,557,115,
468,754,884,203,385,918,663,167,846,281,064,542,277,785,694,971,114,242,375,
179,480,736,388,477,395,240,447,997,636,001,598,574,291,758,868,433,275,607,
975,931,884,544,095,442,121,731,228,499,369,623,916,647,717,868,313,169,828,
613,284,141,287,448,018,793,810,260,086,814,695,389,221,037,249,710,178,725,
974,228,721,349,387,007,149,035,966,210,694,846,331,653,847,861,362,659,642,
810,726,421,636,977,322,518,866,249,449,069,981,652,576,722,738,895,808,192,
071,465,933,136,030,741,783,417,084,861,940,235,755,368,576,529,082,836,443,
563,639,326,066,503,644,506,995,124,300,390,092,048,352,723,174,865,681,796,
883,616,074,360,432,141,878,067,807,003,942,454,407,131,037,530,613,429,910,
952,418,526,436,067,858,684,138,823,933,130,368,776,314,105,498,219,475,207,
990,697,605,079,723,291,314,287,119,071,928,601,857,391,423,765,397,740,029,
407,304,155,323,215,801,671,363,786,667,874,420,126,647,109,641,800,044,980,
259,507,016,689,348,401,578,705,321,290,850,562,817,652,301,948,799,623,805,
495,247,631,326,631,133,517,121,225,286,816,881,240,632,474,873,061,828,933,
445,133,091,285,264,607,978,700,413,171,502,961,197,493,741,933,299,902,611,
409,918,214,132,095,193,525,090,137,536,647,253,890,786,311,936,353,786,402,
866,280,852,685,890,112,612,853,258,698,404,566,243,363,116,958,730,988,909,
530,537,045,401,874,282,837,132,475,658,945,521,823,397,607,581,779,243,116,
873,472,898,302,225,436,037,802,063,405,634,487,085,855,300,506,507,972,949,
901,416,148,046,326,162,254,021,845,297,976,766,509,621,390,900,366,721,603,
936,993,053,891,973,684,407,740,738,418,172,051,709,651,232,602,182,631,410,
992,984,822,166,719,966,663,482,245,740,474,230,356,938,630,791,693,073,666,
863,010,657,470,646,183,964,271,047,057,663,124,236,693,220,628,446,790,932,
798,561,877,555,874,044,513,788,972,611,207,919,089,249,907,591,719,474,673,
103,024,941,188,122,317,449,124,337,568,699,833,708,936,212,246,701,896,807,
233,339,955,839,297,010,275,927,550,511,518,101,753,540,684,479,580,955,982,
116,111,152,502,133,342,161,763,665,690,492,720,826,983,540,316,321,622,457,
655,741,252,885,233,938,767,145,491,281,166,114,376,120,529,454,293,769,889,
920,395,660,288,729,558,748,530,119,775,415,475,363,143,207,995,470,726,832,
454,544,156,807,844,773,617,549,448,320,719,577,908,160,746,452,416,067,894,
313,997,166,233,229,181,426,154,080,307,468,342,427,333,086,036,232,410,081,
616,099,490,295,832,887,529,791,679,844,679,090,032,883,772,285,205,162,018,
068,704,209,574,011,423,807,297,097,372,457,189,377,603,062,676,397,860,295,
627,903,694,963,720,858,141,751,895,606,728,112,615,984,608,533,844,484,958,
285,517,081,306,550,869,884,816,945,474,470,737,700,673,901,588,507,402,400,
634,371,833,088,174,559,610,039,882,038,144,911,206,863,252,134,591,033,803,
307,376,715,703,427,775,155,502,391,375,232,796,511,659,781,748,934,947,115,
209,949,436,345,015,434,606,216,554,859,075,911,396,124,655,047,774,601,551,
935,835,910,773,686,427,415,996,615,262,708,266,346,667,672,165,643,205,573,
969,381,569,564,468,120,884,940,806,563,613,857,387,725,325,589,155,456,734,
083,308,936,677,901,061,932,184,471,074,758,766,068,928,486,057,197,056,127,
208,999,158,826,649,729,070,631,715,049,577,826,586,834,472,413,540,159,441,
695,236,692,349,979,471,627,332,792,568,948,735,176,233,289,365,816,971,192,
305,325,735,319,476,186,867,395,044,099,752,545,983,625,131,305,496,935,203,
898,510,304,462,152,430,905,887,018,851,191,994,698,166,234,373,018,527,735,
783,091,724,085,111,564,526,416,952,807,279,662,386,711,404,671,659,009,171,
683,939,545,582,077,800,513,650,643,059,998,926,502,911,676,567,812,828,772,
226,982,700,415,158,456,420,231,497,678,692,256,030,930,283,256,936,174,604,
728,653,431,379,990,049,785,383,062,585,230,688,374,579,387,656,291,725,319,
591,559,484,492,399,088,389,589,614,561,269,644,962,906,678,107,701,270,900,
671,648,375,128,688,205,483,480,929,089,558,482,803,664,572,069,812,651,616,
043,142,678,102,105,690,301,472,474,442,336,226,689,561,688,463,693,834,108,
848,307,372,055,685,598,657,117,447,309,387,198,694,974,178,782,429,052,733,
252,285,614,888,323,626,773,281,161,987,373,333,567,954,354,363,602,051,093,
684,595,727,254,809,421,743,459,301,459,929,297,594,618,148,500,337,016,328,
869,446,823,643,175,217,081,926,321,881,544,034,049,976,071,787,726,205,431,
760,687,542,626,702,870,310,822,115,575,144,586,890,878,974,537,916,530,694,
431,398,234,437,126,896,759,170,089,946,990,758,540,065,419,220,170,191,841,
516,550,549,287,184,243,948,272,388,981,194,679,146,493,619,363,064,124,687,
712,271,901,511,120,132,950,894,387,175,512,359,066,045,565,727,570,075,069,
563,565,447,914,620,899,952,862,712,307,339,632,595,049,219,679,232,001,800,
914,321,748,559,236,150,033,519,328,709,701,904,687,973,560,047,513,550,815,
274,990,905,310,012,909,770,437,063,865,187,768,183,468,536,463,211,864,423,
761,686,081,992,975,690,569,881,829,621,520,610,698,400,855,629,905,127,972,
740,796,406,706,992,031,770,516,565,506,689,507,141,974,599,213,895,011,212,
501,599,109,880,739,086,416,233,778,289,066,669,852,665,214,560,334,414,412,
498,228,354,578,829,202,288,741,936,692,642,838,316,376,626,648,110,921,268,
272,821,557,019,830,892,769,766,492,077,562,090,730,349,547,692,374,562,226,
387,534,331,822,120,031,056,222,753,425,559,119,210,156,727,845,562,362,070,
977,792,304,013,358,090,975,046,514,865,970,157,793,469,803,616,730,404,282,
326,222,993,385,194,529,826,848,304,294,208,093,022,322,759,513,101,712,115,
324,429,857,339,138,503,311,879,353,035,290,176,321,278,955,447,923,866,510,
586,348,999,912,282,402,189,959,955,800,660,489,959,455,990,089,706,996,221,
592,971,155,173,108,281,794,219,911,695,957,630,892,526,910,976,641,346,722,
057,175,487,459,603,258,734,742,539,352,144,204,478,231,416,178,752,832,435,
103,104,514,094,449,606,755,790,295,027,112,352,557,947,524,380,186,579,625,
138,640,968,702,018,040,388,453,756,786,736,273,695,233,928,255,241,116,558,
926,830,695,635,606,236,083,329,195,427,650,808,633,456,079,978,213,218,557,
032,837,082,792,285,257,833,637,751,269,229,530,532,552,255,742,682,556,057,
531,131,155,541,103,902,097,907,097,267,805,008,413,746,776,127,812,012,976,
467,211,551,833,129,300,657,976,470,594,368,852,599,681,976,056,210,182,558,
494,019,616,984,401,407,227,195,146,484,139,883,258,302,256,179,865,653,396,
678,852,309,905,440,188,337,169,773,253,442,350,918,318,609,797,099,625,335,
318,322,828,176,765,927,317,710,745,682,490,627,577,306,185,909,666,169,243,
659,518,336,759,990,320,973,180,064,753,277,971,770,641,091,681,990,331,996,
074,483,290,382,904,315,758,810,717,525,614,310,072,021,047,673,504,590,955,
789,759,853,264,183,969,150,118,162,265,267,914,037,956,896,779,849,949,078,
633,590,783,715,815,859,264,162,379,397,950,117,003,238,864,606,619,311,778,
301,948,170,456,863,230,886,444,089,983,328,040,020,273,109,699,922,987,142,
404,152,703,375,291,303,764,500,806,266,333,022,105,950,641,856,732,758,028,
026,569,138,433,232,163,623,285,357,741,053,256,153,846,132,470,414,566,797,
237,625,784,636,288,742,197,930,439,947,358,045,711,778,678,891,685,661,583,
642,169,172,296,052,628,515,639,396,233,969,339,490,783,166,867,901,597,548,
031,491,264,345,250,776,842,238,764,620,817,430,684,880,113,377,670,116,603,
207,533,659,513,781,388,769,807,960,166,463,877,016,909,312,196,827,344,989,
267,930,305,150,498,606,870,926,868,252,331,983,848,734,110,173,310,993,824,
466,834,603,199,094,026,271,887,167,069,987,480,984,909,515,081,465,349,041,
303,865,398,745,185,213,201,885,351,831,873,812,621,105,181,967,331,116,853,
651,834,254,660,389,959,101,169,210,626,006,224,848,311,519,254,937,983,383,
238,943,041,406,298,931,258,798,410,667,238,694,271,922,562,305,756,755,762,
837,095,158,696,385,525,604,006,898,238,250,281,348,996,342,696,000,218,017,
947,368,047,962,618,431,788,019,935,501,496,031,041,542,506,538,351,367,886,
743,493,070,202,110,672,838,654,244,054,645,173,605,926,149,962,767,857,221,
232,588,902,956,420,964,325,225,569,453,450,237,679,341,568,280,040,085,424,
760,823,132,714,363,484,045,378,198,595,451,580,842,272,952,691,605,265,949,
967,382,860,752,972,237,354,645,534,558,408,164,393,242,684,208,976,807,555,
245,812,473,191,567,851,276,651,151,568,780,889,950,158,130,855,481,348,704,
075,603,694,016,807,241,249,597,017,229,877,334,587,036,604,681,573,563,632,
267,698,472,398,134,886,763,884,416,371,825,730,799,035,099,667,687,552,812,
993,001,902,499,630,074,334,253,729,795,341,659,299,772,308,881,341,737,161,
704,760,919,059,323,584,226,043,668,013,001,944,550,359,342,053,210,941,905,
987,280,906,640,544,914,522,382,587,652,411,630,712,154,861,861,018,791,912,
086,748,214,310,747,669,012,012,338,714,775,499,900,390,882,798,235,915,365,
708,149,117,781,718,775,178,636,770,069,737,096,377,442,258,185,460,216,868,
707,487,437,075,237,958,311,536,043,252,639,394,405,041,319,310,346,244,100,
139,748,320,825,801,861,954,772,586,284,968,258,584,836,352,758,324,394,547,
073,383,640,184,304,265,171,713,852,068,268,874,531,933,483,993,334,933,458,
150,527,629,631,211,222,513,484,689,926,178,260,844,863,065,570,740,015,368,
016,698,531,228,263,784,487,392,645,180,723,989,771,227,800,557,602,540,412,
327,068,039,385,432,245,219,009,917,638,649,134,241,680,943,064,521,229,657,
263,341,929,171,901,067,844,566,254,624,441,622,605,441,800,418,376,454,961,
745,716,394,117,382,903,584,955,145,696,591,727,807,023,081,778,952,367,569,
754,521,562,582,492,352,262,779,194,409,766,462,912,972,720,485,161,373,823,
062,572,088,917,673,035,909,082,077,483,067,234,058,878,263,336,721,307,226,
735,904,959,965,211,356,800,763,167,625,397,560,516,306,183,912,106,251,560,
310,704,865,581,868,248,678,763,043,711,571,387,070,306,733,695,105,412,264,
589,749,533,858,753,660,351,645,519,416,078,432,905,835,055,809,682,277,092,
653,051,868,967,715,866,179,104,504,360,313,223,494,007,218,397,854,311,014,
750,582,870,506,095,899,918,491,682,671,102,955,511,007,827,962,427,318,026,
821,694,004,134,424,617,388,523,849,412,942,422,142,547,242,478,061,871,953,
403,791,117,992,573,224,967,679,336,218,691,310,774,075,603,982,948,024,456,
960,933,407,324,338,842,849,340,098,519,235,831,023,611,610,976,536,745,656,
081,389,538,231,725,699,604,758,044,593,771,563,823,326,185,802,038,207,556,
600,629,679,999,968,348,405,618,624,557,708,954,372,692,257,911,985,620,924,
636,798,378,752,254,118,318,755,610,468,157,412,321,744,499,465,709,460,042,
895,445,466,462,077,483,250,485,352,818,486,280,804,638,636,722,503,006,933,
827,724,975,519,086,752,882,036,338,334,282,102,307,273,021,257,475,266,776,
041,775,804,400,565,663,379,423,622,109,134,423,552,671,675,844,252,168,326,
890,741,827,843,568,852,500,376,580,067,293,276,619,384,694,096,675,601,754,
845,518,786,255,411,896,366,583,788,997,276,221,664,134,295,896,900,286,253,
783,640,741,529,956,064,605,908,609,479,461,444,996,921,613,358,786,279,735,
840,404,129,985,044,478,690,381,178,246,222,464,135,939,718,485,165,969,169,
841,516,243,925,577,164,488,667,967,798,772,024,715,559,172,356,590,489,689,
808,152,414,192,173,098,610,761,293,249,080,934,425,676,498,623,771,238,692,
809,307,361,488,137,582,118,792,178,783,423,927,570,107,820,023,564,386,064,
823,362,147,196,995,248,737,268,294,080,388,884,066,576,423,542,247,091,415,
809,985,443,024,404,560,296,496,376,028,248,456,570,756,873,034,370,154,220,
946,815,690,368,548,974,259,210,995,858,882,496,701,312,578,658,175,904,058,
316,537,842,265,282,936,703,559,843,186,983,952,094,909,615,786,349,221,824,
926,639,396,818,281,364,678,123,061,181,942,335,450,813,437,479,026,255,055,
780,896,861,592,238,628,478,645,663,420,792,495,528,863,601,501,079,417,760,
701,210,815,008,979,190,406,440,065,699,767,152,212,479,043,487,646,232,550,
753,178,246,440,539,606,997,943,219,331,508,984,640,670,763,722,881,082,898,
037,559,975,826,005,362,030,453,485,378,507,782,145,221,274,397,555,472,501,
574,875,990,410,227,231,483,662,126,213,441,189,299,789,536,601,350,647,951,
014,082,957,518,891,028,138,475,990,010,054,070,359,894,792,361,450,975,580,
177,055,991,919,657,498,971,914,951,163,240,288,298,381,345,462,142,195,330,
133,306,717,044,991,936,817,563,022,305,237,612,092,306,176,913,670,989,603,
640,400,283,350,121,673,248,922,894,077,947,723,949,651,315,331,087,489,977,
370,530,058,044,596,604,945,964,404,621,192,784,224,463,984,325,894,525,719,
276,614,371,604,304,390,446,950,840,021,466,815,575,412,725,129,313,589,619,
621,595,202,436,488,455,511,505,558,773,944,866,277,779,293,958,878,022,736,
032,411,505,501,238,062,413,792,287,174,755,595,586,057,564,521,082,352,931,
492,956,777,683,649,064,113,994,854,999,768,165,178,813,136,559,275,515,193,
070,903,946,765,377,958,468,401,662,490,860,905,408,165,180,468,681,973,609,
189,180,344,506,467,403,151,945,127,046,150,931,807,075,680,139,562,097,178,
645,625,209,111,826,117,330,056,432,881,357,708,032,472,652,979,910,684,662,
203,601,131,334,674,119,542,359,864,752,592,188,209,387,420,121,850,482,584,
925,866,800,176,560,884,770,539,759,826,913,853,484,715,321,660,902,013,611,
877,149,879,034,255,779,424,689,281,631,665,668,163,863,779,628,865,313,992,
073,532,345,797,165,822,087,757,670,063,534,076,677,007,311,235,932,974,389,
069,535,775,804,447,770,455,499,773,837,720,739,176,241,948,219,215,986,345,
384,898,368,874,453,856,764,407,231,224,513,637,456,307,893,780,843,379,810,
842,186,538,258,333,819,428,395,490,505,520,933,792,784,285,631,224,170,040,
030,745,307,043,547,743,848,181,041,608,483,243,602,506,985,760,311,507,169,
419,725,605,794,910,626,151,016,673,509,572,630,659,957,065,669,981,889,901,
312,342,063,931,024,453,791,649,276,595,874,239,890,681,002,185,152,731,464,
865,491,700,780,749,256,192,133,607,318,172,068,615,860,664,586,509,129,963,
270,031,275,506,196,867,690,626,248,119,155,058,436,416,346,555,217,521,896,
068,987,428,037,489,319,766,587,894,790,746,759,410,945,680,785,025,415,717,
638,494,184,691,365,856,556,934,541,849,341,145,477,663,195,614,223,314,546,
042,868,241,601,913,248,821,261,972,544,350,321,878,627,379,808,415,663,579,
062,479,043,891,389,772,184,631,691,562,778,033,077,650,648,399,303,425,013,
249,080,062,307,436,526,445,238,481,269,463,306,365,708,324,195,667,618,386,
789,308,084,522,695,687,621,520,869,118,551,267,025,664,975,725,540,541,904,
569,563,962,383,892,849,434,556,369,300,098,002,465,916,206,549,399,619,861,
804,102,311,781,267,408,078,625,134,135,891,237,437,192,885,687,113,778,082,
179,965,718,118,595,261,888,041,759,984,883,913,648,246,611,860,060,418,238,
494,983,298,757,936,539,436,532,810,731,883,069,495,808,067,432,296,983,322,
524,755,444,510,702,385,769,320,090,451,171,529,053,929,748,495,381,250,437,
462,220,573,806,731,735,567,428,462,696,581,014,701,952,895,969,212,731,964,
160,190,217,388,472,230,208,506,882,647,308,018,287,190,082,029,551,739,579,
781,231,090,453,356,266,545,995,269,054,413,153,986,631,118,410,004,706,357,
094,797,477,166,419,607,206,956,774,837,272,452,616,481,274,033,261,893,475,
675,820,375,302,678,933,685,308,889,198,246,468,667,037,893,599,850,604,061,
615,654,787,945,711,609,912,850,648,727,148,497,189,780,822,862,375,894,990,
267,775,126,867,031,602,994,916,809,866,239,888,601,767,535,310,556,404,703,
432,107,470,016,014,584,209,637,149,018,458,123,771,702,356,793,860,466,252,
751,322,620,609,042,485,606,059,401,773,511,839,771,104,366,849,049,609,530,
282,976,865,792,806,151,139,220,635,020,662,664,755,125,277,144,113,022,799,
728,154,524,670,029,320,342,769,710,539,998,332,566,732,075,526,778,218,578,
577,848,758,976,379,554,134,184,121,054,526,084,855,142,854,175,224,509,334,
888,806,415,699,002,308,553,835,842,792,549,543,190,593,227,105,685,502,605,
144,122,186,489,715,802,452,889,456,503,673,127,860,723,317,701,497,858,402,
532,260,921,483,087,015,143,041,546,351,335,282,465,018,991,070,506,361,593,
868,359,606,801,522,775,964,342,365,560,129,996,703,937,626,643,652,449,715,
086,646,115,581,124,243,346,203,608,743,053,688,257,284,321,570,200,346,138,
563,048,828,660,071,835,025,782,177,299,006,692,712,276,293,831,472,248,765,
427,605,220,891,351,404,653,312,343,128,713,025,283,020,727,204,947,542,338,
551,944,060,635,709,608,903,859,880,386,429,361,625,345,565,832,307,848,638,
198,919,961,079,509,684,504,601,769,692,230,004,401,407,676,036,134,049,830,
819,932,981,790,334,371,413,596,653,206,882,101,974,362,056,393,864,781,179,
295,998,814,093,883,139,877,289,537,845,289,581,921,031,444,561,568,199,983,
090,744,953,541,185,710,496,433,983,079,976,071,002,704,956,997,985,687,591,
815,802,333,436,644,708,464,852,393,851,209,104,089,815,158,375,204,790,300,
166,853,246,394,863,282,916,199,822,534,719,082,263,222,428,621,717,870,668,
037,372,862,039,705,081,127,089,368,104,725,528,865,145,559,922,402,953,852,
667,088,875,359,635,590,672,736,249,519,760,909,640,475,634,300,558,661,207,
077,828,755,306,294,618,196,019,194,762,581,505,940,318,177,102,616,561,399,
337,284,143,974,597,113,494,248,712,356,538,354,222,635,358,659,939,922,088,
391,947,953,788,854,317,830,777,953,892,414,867,178,433,845,387,480,893,441,
992,695,717,772,819,110,387,386,758,488,170,449,211,252,563,347,136,273,842,
995,797,231,150,988,080,869,134,116,636,266,328,618,904,477,585,171,581,985,
299,354,467,461,163,206,408,396,305,015,235,840,348,001,098,888,097,940,516,
651,641,738,845,118,333,523,913,211,307,097,913,210,960,897,658,092,879,542,
886,795,031,921,566,856,277,530,576,192,317,279,395,150,457,661,284,047,111,
948,424,828,565,044,274,812,278,526,218,158,384,548,863,821,318,750,041,962,
579,951,147,945,844,583,881,004,630,344,389,104,566,184,029,833,392,596,298,
953,943,975,239,126,109,912,980,004,720,006,637,730,727,525,707,032,627,550,
327,497,356,361,387,108,909,525,299,924,368,366,966,881,970,420,839,579,949,
761,265,717,559,538,689,121,601,014,593,049,300,736,583,854,881,479,959,353,
456,588,020,704,382,091,955,883,951,271,563,033,643,699,798,499,188,097,708,
201,288,112,844,204,066,092,552,287,062,612,529,041,843,863,827,032,653,562,
691,203,786,336,578,218,277,418,253,374,490,072,496,379,282,533,578,045,066,
704,690,694,598,218,594,118,752,713,851,778,469,132,375,041,126,146,091,140,
093,339,968,500,859,105,382,803,180,787,610,066,220,295,645,653,168,595,735,
480,453,591,996,762,673,521,177,948,698,566,866,111,509,404,351,223,407,752,
220,865,408,070,548,482,949,923,374,903,169,759,464,886,263,090,772,913,755,
707,833,730,558,468,345,363,257,225,338,599,122,414,492,594,788,311,532,287,
089,468,494,454,160,376,713,799,301,324,435,341,228,939,346,462,105,281,393,
404,037,655,216,600,650,100,982,751,953,432,741,919,917,951,110,319,125,759,
146,284,636,344,636,539,409,469,717,590,860,162,344,911,857,508,222,117,424,
825,122,977,003,301,416,279,079,148,328,159,036,885,422,222,308,546,152,942,
877,675,527,987,170,837,988,958,456,005,250,319,342,141,205,388,288,099,294,
786,136,514,852,179,747,903,199,083,797,849,124,064,604,745,681,165,331,589,
062,745,869,054,762,661,683,308,404,086,207,394,529,469,871,188,865,407,341,
836,861,420,012,109,024,122,775,429,229,128,508,465,521,063,586,202,222,303,
532,414,304,293,601,133,151,914,273,866,640,169,451,638,594,894,762,844,755,
839,590,745,536,348,477,551,584,384,013,293,647,555,974,393,421,907,440,543,
321,486,242,412,953,619,538,982,761,638,665,053,270,918,490,186,186,154,425,
591,029,648,909,626,167,299,547,191,861,365,643,078,879,431,832,717,296,770,
982,312,394,884,385,622,011,547,653,932,650,135,015,256,154,708,262,021,677,
879,506,884,886,460,578,383,600,401,293,846,425,006,726,283,695,719,551,632,
895,680,141,228,540,114,453,181,374,687,740,106,478,561,241,229,353,777,976,
066,685,404,540,078,116,136,437,716,129,935,598,260,128,557,900,064,281,020,
331,985,948,859,359,507,183,517,009,511,672,438,442,346,031,146,105,007,103,
488,957,351,395,752,934,123,666,358,557,793,594,471,807,133,376,882,582,654,
924,162,745,569,683,766,561,077,236,367,186,781,832,396,758,070,830,456,058,
274,326,833,699,978,136,128,293,587,520,759,947,568,940,646,826,551,499,507,
298,691,398,470,220,117,843,761,716,616,489,399,493,229,028,506,140,285,423,
567,501,986,170,446,905,628,390,092,457,791,449,583,070,189,907,698,027,255,
246,721,165,119,613,417,971,644,962,761,245,182,331,451,586,715,290,373,750,
109,694,934,527,328,841,480,463,003,392,402,314,162,558,420,305,727,441,916,
139,722,376,029,217,559,726,921,269,650,472,905,890,330,870,117,656,873,008,
626,833,727,763,389,633,311,164,107,960,948,138,793,656,588,573,316,127,122,
876,330,463,574,347,813,708,018,552,215,932,751,797,517,691,373,558,772,496,
902,842,162,367,602,620,494,056,607,689,803,772,420,401,342,603,343,353,078,
788,690,564,444,552,186,992,659,502,893,451,307,292,083,080,816,349,692,529,
318,317,794,757,425,237,743,129,236,673,122,115,689,914,046,282,148,616,556,
399,470,300,128,946,294,335,075,067,266,212,987,456,249,048,084,750,325,869,
160,253,408,225,504,703,809,440,709,002,887,697,092,317,514,026,727,469,039,
017,913,822,378,261,310,460,581,460,811,788,698,783,779,013,188,702,310,305,
291,674,894,698,727,513,061,452,165,181,571,630,885,290,259,342,272,196,426,
797,803,063,201,948,315,092,350,400,460,502,323,269,606,370,528,112,126,909,
785,116,699,012,189,656,716,890,581,848,514,577,382,517,055,061,957,467,206,
714,183,581,875,945,241,188,275,774,008,466,457,345,999,711,648,169,252,375,
314,457,420,219,926,986,072,437,303,192,651,904,119,652,466,963,161,220,555,
022,004,883,375,902,044,745,391,673,611,141,416,035,442,709,147,397,946,853,
334,810,458,899,242,664,254,887,796,850,556,131,207,696,935,474,270,354,379,
053,254,042,301,565,296,502,833,311,429,952,374,600,343,210,393,601,056,939,
188,199,271,009,610,771,938,771,072,208,188,307,585,592,774,410,647,254,942,
494,849,855,453,502,711,409,675,873,400,131,803,279,531,335,961,160,665,708,
893,200,558,088,927,119,657,864,658,672,946,655,650,349,626,026,124,801,232,
348,026,128,476,433,189,301,836,368,112,598,530,511,661,142,372,833,722,749,
690,579,175,744,787,960,009,268,119,287,205,091,419,108,603,350,136,187,634,
827,850,419,117,106,665,279,754,701,000,434,576,271,051,405,748,511,236,161,
609,335,126,162,238,482,135,432,762,661,935,495,145,403,545,979,138,419,537,
499,564,921,255,094,770,092,314,915,508,573,203,062,898,157,105,052,889,222,
300,940,675,231,950,103,262,765,522,799,804,808,408,537,939,147,154,417,623,
878,507,825,536,738,921,179,760,641,254,609,384,790,449,179,829,728,955,791,
837,377,655,932,852,168,322,997,437,168,695,493,628,756,004,745,476,367,061,
099,786,582,194,256,636,706,583,539,277,589,258,497,388,762,566,833,178,294,
169,385,193,324,665,734,691,232,100,199,964,570,583,719,758,773,831,641,338,
465,354,719,514,906,242,898,867,390,414,469,393,135,171,826,315,948,400,131,
176,170,882,592,076,705,020,628,686,774,213,585,275,384,556,993,920,269,709,
621,437,205,553,145,984,742,223,776,180,020,622,383,560,875,845,353,728,162,
430,563,587,907,207,630,446,048,038,130,400,773,502,550,707,399,830,389,507,
928,542,838,987,968,382,646,424,843,247,356,187,920,934,224,824,286,942,283,
057,904,709,563,797,437,323,490,704,478,980,943,809,740,973,206,941,770,048,
052,253,651,422,765,367,092,200,247,124,383,037,922,556,717,850,339,409,829,
215,970,850,813,998,477,781,991,214,654,928,230,022,886,195,256,784,719,733,
352,187,668,780,100,270,455,931,095,116,677,240,915,479,776,523,450,399,526,
176,017,655,578,345,166,590,491,931,068,791,629,592,141,479,347,224,099,379,
711,367,034,052,661,407,300,840,279,304,360,435,355,806,101,258,094,745,819,
478,307,268,238,248,512,490,163,130,133,874,862,146,261,654,947,624,082,425,
044,318,190,546,433,155,088,973,923,751,401,996,958,698,602,551,943,459,332,
523,545,359,118,050,417,599,669,290,435,765,755,829,171,324,396,639,071,523,
680,526,066,808,363,301,668,870,381,915,990,633,890,756,290,061,226,970,489,
592,656,284,752,173,814,355,100,510,421,802,509,306,629,063,823,714,173,939,
714,037,732,064,651,739,681,557,475,552,990,510,981,799,559,785,002,233,196,
025,613,351,277,436,769,503,540,057,905,056,207,246,556,683,428,822,045,278,
053,712,218,323,640,223,387,625,960,804,448,443,990,352,753,906,543,876,235,
584,222,253,673,919,156,728,750,000,221,806,007,097,863,420,320,387,906,285,
616,836,451,747,279,734,137,294,869,138,135,644,650,100,487,689,295,742,219,
493,609,260,457,663,972,331,133,576,334,985,744,700,215,297,774,785,829,409,
973,205,031,235,141,711,320,163,873,504,101,869,184,636,484,425,981,887,566,
155,723,619,534,014,604,551,206,107,845,702,110,620,330,200,899,871,253,392,
385,730,517,362,774,733,353,516,604,395,080,781,442,025,419,796,627,317,321,
060,369,910,056,741,105,811,461,349,511,569,261,959,376,899,861,184,576,259,
203,791,000,298,959,829,063,291,508,108,958,043,406,817,265,691,126,305,139,
198,313,908,116,667,041,918,730,297,236,188,121,218,916,162,071,812,322,494,
662,814,121,009,582,039,833,154,798,492,557,478,879,091,273,007,113,278,583,
299,226,662,749,811,624,271,253,405,929,567,737,274,642,223,794,384,814,877,
995,531,744,919,750,061,110,255,783,800,340,909,378,194,417,526,368,145,828,
425,968,742,552,586,994,890,045,192,117,381,596,470,411,684,310,831,656,319,
987,708,379,529,731,492,472,466,838,529,525,228,381,470,728,646,032,489,217,
981,175,514,042,805,298,028,927,438,913,160,059,897,845,613,913,513,458,229,
566,846,586,758,740,801,363,869,429,836,625,650,612,743,657,333,388,102,412,
077,564,448,837,431,920,735,267,273,126,210,351,511,204,720,460,162,985,540,
889,779,877,810,293,740,051,604,205,451,545,595,628,071,924,954,995,745,664,
907,633,920,961,659,113,291,705,833,461,059,967,069,780,529,899,793,073,337,
417,516,525,364,769,403,435,078,838,810,470,782,679,254,367,519,012,815,669,
278,116,857,542,845,487,455,577,718,908,912,593,250,094,325,064,971,040,535,
154,230,218,843,383,829,008,825,154,371,252,771,080,855,002,602,705,086,536,
982,843,305,130,203,458,559,597,972,506,064,016,755,792,305,927,688,329,686,
842,544,295,611,553,512,525,280,651,464,037,660,908,373,200,346,367,660,529,
088,928,686,437,781,146,878,483,247,603,398,638,227,621,311,458,712,244,828,
764,356,671,179,502,659,995,435,222,141,456,522,718,273,459,233,294,059,394,
654,347,447,481,794,049,102,908,006,429,187,331,727,307,273,500,989,351,789,
689,737,381,097,432,639,984,349,983,626,760,137,954,195,280,734,204,957,638,
938,829,405,590,541,820,388,955,214,887,121,163,704,261,239,452,308,635,730,
634,186,768,007,914,701,613,051,734,560,020,019,906,281,353,588,747,528,394,
398,095,878,708,693,165,745,668,582,137,233,067,706,381,371,292,333,531,355,
753,594,338,706,124,105,875,547,325,363,232,467,431,884,962,974,487,210,476,
377,533,063,917,241,863,347,343,917,020,610,484,891,893,768,797,943,721,855,
684,265,328,964,667,692,494,547,288,670,276,191,652,903,766,979,225,754,658,
062,860,285,994,411,958,088,772,027,189,390,776,743,777,984,838,600,836,818,
791,992,165,251,935,698,598,372,549,471,530,641,102,670,135,683,381,227,713,
347,249,699,625,955,899,130,016,068,468,379,869,153,486,838,351,575,620,838,
635,753,638,920,220,353,888,585,382,703,964,251,860,583,918,502,719,371,298,
060,383,024,124,303,682,427,362,707,772,669,951,036,422,755,146,903,474,460,
528,035,798,934,649,698,908,840,336,485,849,093,569,983,121,881,968,662,746,
471,078,115,838,343,193,422,330,105,351,077,764,764,317,054,627,614,448,163,
895,544,474,840,701,520,002,839,122,466,484,700,735,556,254,364,104,417,529,
415,457,447,434,014,873,726,237,603,691,319,892,723,385,416,924,539,717,047,
137,812,046,559,300,358,059,657,873,186,549,148,670,805,008,789,749,679,158,
518,369,519,590,083,630,056,048,170,533,465,613,406,238,877,284,811,767,765,
373,191,215,653,170,048,440,525,277,610,574,039,939,961,216,803,564,119,675,
466,027,031,746,145,194,743,918,893,017,575,981,770,822,789,075,201,045,243,
979,110,084,892,993,996,827,844,914,289,859,384,147,279,847,110,003,102,429,
161,306,441,418,228,256,722,204,080,178,266,737,236,443,004,125,400,756,359,
628,793,031,271,063,845,825,477,198,325,358,761,018,798,170,262,105,484,185,
156,745,163,865,167,170,477,446,949,907,976,779,692,559,929,219,925,432,921,
859,821,520,849,773,316,140,548,879,298,418,023,055,507,387,266,109,104,820,
856,674,621,817,758,400,048,589,243,844,070,681,866,704,299,250,644,957,036,
459,976,787,468,871,307,565,265,697,686,160,970,282,758,735,187,454,400,114,
868,391,162,068,785,987,250,327,837,321,870,076,693,346,696,765,007,577,372,
410,289,044,437,292,262,059,844,429,202,762,211,496,854,142,256,511,486,884,
305,137,858,492,801,947,985,140,377,638,444,409,387,829,056,064,360,468,567,
374,273,737,096,362,524,881,451,180,645,440,952,000,509,582,245,785,053,222,
195,474,925,000,173,937,835,527,488,264,110,242,047,262,744,815,977,717,298,
855,017,963,837,540,623,302,558,149,727,796,552,657,419,533,111,502,975,002,
170,597,040,866,466,126,697,777,674,083,078,568,079,743,946,801,291,565,678,
819,657,666,063,218,271,897,775,736,101,881,421,434,032,370,132,351,632,512,
237,662,171,997,913,506,097,416,671,021,025,698,018,029,739,810,104,370,152,
982,529,249,135,602,918,107,573,915,990,291,343,283,223,574,447,935,764,866,
832,614,706,117,317,410,393,289,989,375,473,319,350,176,119,698,317,232,392,
797,890,244,904,625,138,768,435,301,654,190,940,313,092,766,499,446,191,854,
725,909,956,528,902,345,720,388,139,262,886,125,692,074,980,122,439,290,688,
100,226,883,838,143,638,987,488,065,517,069,054,338,695,076,961,741,069,026,
897,305,202,839,706,724,776,764,523,780,526,609,117,364,696,761,370,310,980,
223,376,273,614,193,745,692,247,333,492,647,392,833,927,606,677,481,402,475,
696,064,790,289,667,122,480,976,619,163,841,227,365,751,993,597,945,753,040,
107,265,518,951,698,114,659,928,565,541,145,264,595,914,436,538,494,967,934,
020,740,029,948,150,858,199,970,819,060,942,332,777,904,403,754,475,752,173,
347,798,484,818,259,326,511,046,829,707,152,045,150,162,279,315,911,352,702,
675,672,508,829,471,185,997,137,583,044,603,404,980,201,271,024,076,881,486,
919,232,030,667,521,258,100,292,647,400,779,538,699,397,360,755,092,282,516,
005,200,007,277,718,548,511,679,026,311,958,480,426,702,892,402,641,349,754,
936,604,601,663,713,259,805,684,517,404,470,635,679,984,228,983,393,627,878,
174,238,550,808,557,623,675,849,277,065,437,093,447,443,923,856,462,523,390,
281,337,302,554,281,945,037,640,149,104,373,368,789,393,755,383,475,367,288,
101,800,204,049,288,451,533,335,081,018,099,643,083,001,966,585,659,356,229,
666,331,200,027,552,568,641,209,094,312,417,670,643,258,255,417,572,562,396,
646,437,273,500,212,337,721,579,823,556,963,739,812,007,121,837,469,404,758,
621,920,355,050,451,066,294,368,996,270,299,921,232,791,435,159,205,929,217,
359,427,255,430,054,288,174,299,874,138,760,599,160,742,056,126,474,514,307,
584,573,105,366,058,158,483,073,690,689,438,318,515,344,402,443,571,544,282,
964,398,500,246,814,674,485,858,518,187,930,294,316,589,245,341,333,122,427,
547,713,149,128,594,322,022,378,278,562,982,602,496,157,594,102,130,418,461,
271,492,807,398,199,144,466,632,291,464,188,903,082,380,898,731,190,336,991,
170,132,191,206,915,198,762,198,657,475,108,776,016,625,732,787,667,291,873,
206,625,732,283,517,911,972,640,517,493,970,292,911,041,946,020,448,430,075,
017,550,854,808,059,090,537,187,311,675,102,195,981,263,049,098,924,057,054,
121,675,222,144,452,232,519,850,318,187,621,340,816,594,325,827,650,541,478,
220,018,624,051,599,938,658,748,057,702,694,355,725,801,364,091,257,680,298,
791,749,068,741,337,740,070,186,576,599,510,215,098,147,895,876,369,437,193,
364,371,478,647,758,121,166,152,655,058,487,042,187,177,192,530,309,923,052,
220,180,471,401,461,381,544,314,318,798,552,469,746,064,160,789,844,242,984,
654,453,767,894,417,934,432,799,697,588,590,823,291,180,053,536,781,839,646,
669,432,523,526,197,851,351,514,321,665,847,813,240,473,816,532,594,649,639,
411,469,486,629,689,792,717,688,583,410,298,435,088,755,813,930,184,499,326,
468,025,107,957,156,010,479,486,632,987,978,478,470,074,419,867,709,109,822,
238,976,499,689,480,601,944,786,642,309,534,022,776,492,058,197,437,468,894,
930,066,016,621,216,939,560,894,697,404,255,443,894,876,269,456,625,168,108,
671,793,791,793,200,211,527,137,417,533,243,662,021,364,802,499,263,552,944,
949,361,622,265,373,233,598,156,129,146,068,231,627,660,060,335,028,906,344,
323,338,841,287,729,337,750,010,074,407,654,718,083,839,188,042,857,892,296,
065,460,894,641,035,428,677,608,776,130,024,141,894,159,590,094,256,106,279,
031,440,686,740,695,919,985,246,146,075,873,996,950,610,401,218,232,885,482,
544,170,949,379,258,812,939,811,628,452,870,237,282,081,583,972,411,654,085,
248,967,603,677,562,601,447,380,840,214,332,317,651,366,743,927,447,522,624,
797,885,646,030,301,863,970,919,080,273,375,148,379,395,989,736,739,517,712,
154,401,478,746,821,565,224,742,521,310,511,345,470,637,157,949,955,566,731,
952,233,622,229,222,610,560,731,807,314,885,848,491,254,364,810,474,531,880,
064,043,946,826,658,517,967,156,978,014,401,533,535,032,112,187,836,080,500,
329,314,790,987,144,389,825,671,180,974,971,855,510,004,135,799,644,905,620,
020,624,987,343,273,620,526,493,213,653,241,137,066,127,610,304,004,428,150,
385,867,812,302,957,428,994,482,771,034,715,324,891,458,042,137,329,388,273,
140,413,028,589,394,067,527,629,329,941,309,536,432,708,717,369,718,799,320,
847,994,726,112,236,655,461,483,116,917,861,946,420,589,614,974,530,347,907,
290,177,928,713,303,328,934,179,696,529,082,046,674,487,190,430,586,633,165,
333,586,529,158,295,377,767,120,448,312,200,372,966,644,874,812,370,703,496,
547,867,481,208,456,974,571,207,486,419,544,236,906,333,999,301,544,812,135,
072,538,891,724,864,276,079,406,538,135,242,688,672,985,926,308,963,744,696,
727,883,393,381,794,665,883,256,305,639,938,336,549,289,018,103,335,179,694,
103,886,452,996,280,086,865,595,069,722,344,939,003,074,162,007,339,883,115,
858,369,768,978,052,000,404,678,211,664,622,531,122,028,943,245,862,119,915,
258,554,651,889,146,886,462,276,608,614,969,542,962,597,723,936,201,282,055,
908,453,978,867,702,288,382,811,274,805,022,472,029,191,756,881,218,328,484,
763,488,128,458,838,647,882,254,676,036,681,596,030,868,080,634,729,574,516,
012,768,622,103,317,618,090,092,996,445,291,188,831,972,762,241,644,152,673,
777,820,858,308,185,118,780,207,437,521,896,295,122,021,872,509,119,540,568,
345,726,397,975,701,638,234,420,786,487,546,916,310,631,043,610,624,181,051,
861,047,946,426,737,607,669,703,230,657,852,671,053,714,837,145,620,079,512,
750,892,175,570,981,129,841,056,920,648,329,569,016,973,287,840,143,429,914,
427,832,411,889,611,188,686,080,100,054,332,014,682,603,734,589,357,658,826,
627,729,082,724,387,959,310,753,189,780,829,178,794,879,646,193,761,741,729,
114,866,873,945,287,291,811,695,928,419,677,952,100,254,445,994,672,145,537,
684,603,957,844,559,637,938,263,336,188,170,126,506,250,730,869,180,427,791,
457,533,396,299,222,272,217,342,932,889,280,423,579,372,158,720,246,083,497,
668,749,657,424,777,997,111,268,886,725,816,790,268,621,034,935,432,663,849,
383,857,007,791,383,271,455,004,398,706,060,076,687,712,123,637,937,217,192,
655,673,928,908,395,379,778,142,850,788,263,279,199,107,881,469,584,064,589,
361,652,508,281,604,089,673,451,942,846,376,980,794,868,391,927,924,323,957,
356,984,158,653,947,729,460,962,792,636,051,969,019,395,889,971,442,291,216,
374,603,018,366,987,694,484,545,102,703,223,378,481,594,342,958,825,259,262,
283,754,331,029,779,343,626,676,286,894,448,189,157,842,388,740,438,948,323,
481,751,788,673,480,389,536,116,516,338,451,240,802,693,791,681,848,054,577,
082,713,188,445,851,421,299,044,572,827,429,049,516,581,344,947,861,400,264,
873,401,626,093,301,738,925,414,081,815,238,671,460,591,987,154,132,798,730,
242,223,952,474,947,798,045,103,131,207,823,239,675,157,414,526,852,750,088,
392,194,660,116,887,828,032,948,228,029,876,073,201,393,092,607,528,931,700,
255,975,368,597,692,932,258,087,440,701,630,603,085,205,390,157,466,813,302,
777,706,243,507,131,252,122,969,434,857,236,767,367,876,481,693,489,460,477,
149,874,919,741,364,623,126,578,401,008,990,132,984,083,989,994,549,030,627,
908,953,314,458,453,424,961,218,936,659,737,566,553,200,745,540,461,399,201,
493,153,546,446,491,476,598,237,976,398,201,166,292,675,643,159,279,990,835,
862,189,403,969,737,047,997,410,272,027,532,734,314,301,348,221,073,112,569,
994,645,060,210,204,793,940,054,213,822,708,300,265,702,494,173,581,258,985,
984,134,868,537,520,028,931,910,755,680,670,086,482,303,910,562,262,443,946,
637,000,098,651,565,817,015,988,474,348,558,737,749,226,864,637,366,347,607,
296,489,487,688,097,458,481,233,223,431,646,303,641,058,264,069,841,662,490,
085,359,822,506,571,339,359,273,193,114,208,007,482,810,423,468,583,125,714,
261,148,980,927,518,562,841,825,042,427,697,592,637,495,127,517,426,293,313,
149,965,263,151,226,683,565,345,764,329,316,984,203,866,549,102,130,816,885,
295,779,944,208,436,418,756,934,002,815,862,370,523,734,769,264,327,207,567,
519,958,489,268,885,192,571,626,287,565,488,004,711,929,514,159,816,552,592,
097,843,356,427,976,175,488,311,352,973,758,818,773,237,670,359,549,013,013,
490,382,744,348,125,418,721,617,106,430,625,755,240,809,328,678,169,190,917,
455,633,874,431,914,967,229,598,816,255,302,954,322,877,553,168,912,050,009,
520,613,158,198,431,259,877,262,021,977,994,368,243,245,154,517,739,639,250,
340,671,294,841,842,236,879,002,110,880,711,637,727,007,106,716,457,604,450,
854,957,487,469,039,560,480,481,840,030,194,942,182,737,799,030,045,103,941,
052,092,683,724,587,121,312,287,635,325,341,562,631,274,945,722,565,757,785,
976,334,888,187,502,096,991,872,902,638,765,411,002,540,289,035,104,689,285,
589,283,421,368,399,161,569,783,428,865,330,376,371,450,560,876,632,305,199,
975,797,136,963,904,732,479,814,663,870,130,209,263,362,845,713,008,303,668,
485,503,404,755,980,195,599,677,889,418,388,464,767,502,365,777,022,346,417,
835,760,219,120,913,431,240,112,622,898,147,344,968,103,504,944,538,110,936,
307,123,126,879,038,623,144,384,456,417,687,660,362,850,172,247,046,531,140,
973,809,963,954,528,874,611,278,762,995,436,739,942,204,114,899,998,246,084,
913,511,073,802,624,694,747,136,260,416,818,147,155,707,358,249,000,007,583,
143,360,627,966,662,055,906,086,700,663,977,415,330,895,566,884,835,962,636,
077,989,895,129,664,197,756,907,051,445,163,205,214,970,099,219,651,904,354,
724,268,949,001,647,155,690,794,401,252,052,579,003,250,017,514,584,519,092,
216,771,429,328,531,231,316,870,414,239,795,532,050,415,784,477,123,946,781,
882,828,813,097,575,348,010,982,047,587,469,119,721,952,025,560,797,636,622,
109,167,145,576,063,482,589,243,298,032,376,203,377,195,238,902,103,896,223,
891,640,404,193,402,110,704,986,853,896,134,041,235,563,417,807,380,625,153,
241,048,982,029,220,485,766,499,615,328,524,657,143,839,834,411,350,166,929,
410,938,460,675,364,020,877,232,615,999,528,472,077,956,057,026,141,057,152,
531,318,442,121,345,349,076,589,157,357,776,545,526,295,231,484,963,781,616,
181,781,639,139,919,695,077,547,625,783,494,385,105,053,834,215,687,633,736,
849,663,483,476,016,087,872,161,022,173,247,995,840,180,555,882,789,023,410,
841,822,194,929,954,128,282,409,656,317,436,871,146,138,277,413,656,643,841,
357,052,100,044,334,213,858,583,084,639,600,019,524,330,617,533,218,435,575,
049,700,262,440,912,501,743,132,714,975,725,869,221,981,305,021,719,503,304,
147,282,547,883,892,390,123,593,632,607,930,175,969,909,662,599,900,606,023,
790,977,745,449,785,308,122,455,291,775,382,229,343,143,300,082,149,668,754,
432,299,650,778,361,042,138,974,714,626,219,145,488,951,722,030,195,935,616,
340,230,637,059,760,060,163,857,801,808,546,646,211,658,826,671,548,217,379,
990,896,709,633,450,095,685,215,679,899,781,612,614,183,365,173,329,908,026,
446,457,103,253,551,161,977,673,827,438,196,781,265,685,778,310,869,689,666,
506,102,801,863,873,591,973,460,518,760,918,983,310,620,314,840,166,029,396,
474,913,209,775,105,370,686,037,764,238,072,412,105,551,721,988,935,991,076,
289,940,138,466,134,982,214,835,035,222,540,647,508,206,982,973,567,731,699,
897,860,928,033,960,978,502,640,424,771,440,554,712,208,611,443,291,309,439,
538,116,531,931,908,655,622,244,205,264,281,580,063,792,023,580,469,933,540,
541,459,428,293,408,090,472,123,838,543,534,898,138,880,488,574,701,309,054,
999,367,809,402,472,173,420,170,363,474,671,832,950,381,352,137,943,161,330,
563,941,977,234,497,560,220,693,514,053,465,619,050,081,087,110,791,244,636,
106,008,016,602,608,989,711,035,766,461,263,186,377,529,141,962,530,679,399,
127,656,074,810,467,315,149,359,591,815,633,340,076,122,231,285,044,527,378,
325,287,761,531,446,572,167,169,682,566,917,504,139,088,260,867,205,327,087,
620,900,207,254,794,520,837,978,228,845,054,419,438,743,539,254,514,440,802,
678,025,258,517,133,569,285,793,901,405,897,167,847,053,467,150,632,574,745,
757,126,949,101,288,795,235,724,601,628,318,907,952,713,731,477,769,785,806,
742,599,772,009,073,837,676,520,087,339,893,414,662,881,348,090,988,663,416,
648,181,699,531,833,694,984,844,152,796,144,126,924,170,205,997,074,925,765,
672,831,172,195,370,499,173,445,411,618,691,685,402,221,827,598,093,650,373,
571,575,617,036,751,009,994,173,000,622,085,841,091,091,189,033,039,436,985,
314,485,679,317,543,282,155,772,386,034,114,851,473,323,993,397,603,140,244,
312,981,751,049,066,113,934,751,083,145,917,763,350,776,931,374,224,469,607,
542,289,755,463,055,597,917,417,930,708,122,528,805,752,965,449,484,411,412,
503,047,755,268,988,558,250,465,156,210,787,308,256,031,791,348,649,286,813,
672,333,256,503,771,407,234,403,170,240,948,148,736,016,908,366,657,507,053,
000,431,997,541,452,624,735,004,515,234,062,523,979,746,882,781,936,519,010,
675,416,163,787,489,194,983,238,037,224,238,592,978,842,891,586,906,621,201,
304,416,277,392,438,824,762,185,426,593,262,867,290,610,994,034,342,756,471,
383,605,842,440,052,947,137,364,221,855,436,752,521,601,396,802,882,867,491,
283,849,396,177,300,909,627,288,005,949,321,691,640,079,667,919,592,592,106,
143,574,103,470,972,767,389,814,574,467,177,225,134,675,795,342,115,814,631,
988,848,166,971,229,423,348,974,303,485,726,077,996,210,598,337,671,383,324,
096,586,831,476,324,269,417,543,663,450,745,676,525,851,703,147,684,441,277,
103,090,789,329,782,550,617,532,766,498,468,051,002,881,376,359,243,652,502,
254,967,311,913,770,804,442,052,267,949,872,820,724,000,448,279,848,261,230,
920,995,080,957,333,400,352,034,030,404,759,007,322,666,684,621,143,393,972,
510,767,472,930,531,236,852,978,796,501,824,633,314,633,910,361,750,755,866,
797,927,768,772,700,294,032,836,252,588,772,674,995,230,099,311,734,929,432,
489,332,110,084,876,581,409,224,629,890,631,510,515,536,162,353,502,210,743,
852,980,905,468,852,057,808,835,594,885,562,200,988,600,834,244,179,215,500,
726,923,891,318,618,317,627,230,975,897,615,887,551,579,970,529,501,196,831,
824,019,744,164,552,025,223,028,258,671,349,583,622,458,755,860,592,006,134,
474,473,412,312,866,569,958,226,385,572,021,699,877,230,152,179,379,366,829,
677,087,899,100,471,659,676,294,708,738,248,466,273,138,703,813,192,851,737,
579,093,702,416,310,175,896,967,107,271,822,962,677,019,864,437,544,175,547,
058,065,827,204,929,203,904,067,259,279,501,801,649,511,852,897,508,625,147,
885,045,680,670,729,697,856,584,458,097,512,197,068,104,791,394,095,520,967,
297,946,652,267,147,040,134,627,208,337,945,821,522,019,687,160,225,936,878,
541,636,729,171,136,679,485,840,499,529,274,832,145,511,942,363,952,044,422,
760,126,462,937,608,671,417,451,848,413,385,925,759,605,138,623,956,054,682,
875,254,662,837,805,551,169,119,521,817,623,401,576,394,904,709,392,770,175,
358,366,019,107,807,452,057,539,622,463,594,273,522,454,292,257,196,219,093,
709,542,086,146,279,995,834,607,881,161,446,373,655,305,067,905,491,068,447,
512,064,044,966,942,269,149,581,516,392,163,149,359,025,426,909,386,767,496,
972,745,723,025,043,160,383,672,786,150,389,993,074,902,991,526,362,818,991,
926,471,025,971,102,643,094,881,377,454,388,230,996,025,924,228,954,201,468,
012,390,937,564,874,380,983,075,009,522,365,392,675,479,407,169,919,530,479,
759,727,190,467,894,003,529,390,024,493,518,109,510,581,995,373,959,074,336,
354,825,539,877,365,918,850,993,308,395,310,228,350,069,622,895,636,270,282,
272,576,701,424,819,513,079,533,896,421,238,841,313,932,947,643,396,267,773,
692,198,701,091,204,878,578,565,745,259,183,064,734,523,044,327,363,282,093,
773,713,366,270,036,643,832,616,351,752,431,302,383,936,345,530,157,069,068,
194,394,646,688,622,929,067,141,834,164,469,959,307,532,973,126,831,384,171,
332,905,588,229,153,884,717,792,644,119,339,991,750,619,199,555,708,635,993,
474,909,814,575,700,035,501,531,086,914,980,200,590,715,045,497,870,035,936,
362,313,742,655,119,532,470,911,806,387,522,969,789,440,698,740,885,831,308,
921,508,028,919,233,297,042,228,905,679,368,807,229,168,379,311,939,505,034,
101,672,208,343,970,429,582,708,011,566,978,636,336,961,884,918,282,417,699,
439,436,534,325,193,420,978,598,978,322,249,811,020,696,863,960,614,342,900,
622,008,542,228,252,262,680,499,136,953,458,824,373,186,490,974,573,594,815,
902,733,142,314,056,783,361,055,454,606,397,121,252,193,616,327,248,396,160,
327,119,244,265,764,852,059,037,502,867,443,992,075,017,591,530,620,530,515,
397,346,153,500,440,877,591,508,874,599,329,254,457,549,796,108,693,590,646,
577,271,640,406,317,453,984,191,462,978,085,159,710,933,812,107,657,601,753,
286,046,178,813,558,065,615,272,947,517,106,100,037,973,007,609,211,539,468,
994,894,561,249,462,632,649,106,960,682,570,865,527,134,620,234,392,342,408,
842,625,734,505,721,684,133,407,088,270,302,602,179,709,448,901,516,247,044,
102,589,547,745,709,923,270,048,649,965,152,970,870,846,049,080,197,091,284,
001,829,214,467,971,301,680,612,966,217,432,849,829,921,380,706,665,091,209,
931,843,358,810,757,957,668,144,183,059,259,923,304,080,017,654,017,038,636,
527,398,016,102,619,035,299,745,473,088,510,556,791,742,058,910,867,110,171,
589,736,780,851,865,533,831,782,663,294,303,912,129,737,084,543,828,534,956,
594,939,494,476,798,048,131,359,343,593,175,276,309,789,446,721,296,695,022,
100,195,882,963,935,892,694,745,396,745,633,587,278,652,516,216,872,683,957,
671,775,876,464,916,031,346,413,308,240,263,335,603,246,765,181,922,062,834,
033,957,176,131,175,492,125,229,366,675,533,058,673,605,508,335,573,776,171,
681,504,039,318,622,152,541,528,584,494,042,738,920,295,042,323,068,569,471,
856,704,358,331,426,764,336,119,063,886,055,017,891,310,188,258,183,420,372,
112,239,886,628,477,132,018,683,647,079,412,138,997,485,326,442,986,851,273,
970,201,542,048,661,663,395,618,933,639,546,400,319,305,015,944,770,520,696,
682,994,757,325,465,411,361,808,489,502,792,917,553,193,670,503,419,723,356,
256,736,141,097,014,448,994,234,179,160,670,486,764,253,467,001,437,713,359,
978,771,984,257,449,645,616,617,160,949,162,147,904,691,604,591,401,026,608,
605,736,956,775,211,722,768,384,747,046,507,442,990,531,045,397,859,777,138,
263,225,667,322,363,681,072,784,082,356,104,681,877,441,537,184,225,675,831,
345,941,445,596,627,422,544,108,853,461,040,310,332,049,294,416,772,807,997,
657,019,961,235,536,900,215,876,424,897,191,552,887,867,206,132,604,479,313,
683,587,331,081,744,967,227,689,533,823,064,851,943,907,912,959,288,368,297,
550,377,367,789,559,255,770,603,607,002,901,646,663,683,275,013,365,978,715,
505,847,449,909,220,429,270,736,861,006,780,320,179,530,586,892,498,371,230,
880,588,832,425,691,953,717,937,120,016,828,717,199,797,561,533,711,378,627,
453,668,494,672,930,136,326,863,779,592,414,641,003,166,422,891,305,491,266,
688,901,853,855,048,381,696,390,377,900,047,225,782,106,572,435,680,834,027,
400,957,635,085,853,869,535,330,172,070,819,787,178,873,130,670,666,162,326,
653,666,914,904,027,455,581,823,315,689,185,893,136,657,128,212,911,965,316,
584,179,706,030,014,798,929,044,735,818,537,349,678,522,285,154,706,025,721,
773,861,907,779,239,070,268,556,188,964,653,706,916,796,040,302,829,904,188,
523,218,881,655,621,279,599,221,993,483,302,522,502,119,902,420,758,244,490,
776,839,714,349,634,649,797,068,104,115,535,908,755,770,281,001,661,735,730,
054,880,910,659,678,975,676,901,130,037,886,559,351,548,826,414,133,762,047,
247,114,511,457,222,627,972,364,074,802,660,813,398,553,657,810,869,153,973,
703,709,425,247,817,332,064,879,297,119,846,456,802,982,227,134,850,486,673,
139,438,468,057,674,206,098,521,432,925,465,025,839,268,053,123,707,817,999,
342,708,294,293,765,407,950,371,688,824,541,889,602,543,769,294,456,708,366,
280,411,820,658,829,662,249,866,197,841,016,818,680,868,360,037,753,436,469,
600,360,051,173,525,916,884,845,333,166,350,767,115,642,902,599,892,885,253,
091,614,744,370,482,712,402,912,359,552,204,438,694,577,631,015,635,918,507,
418,585,724,503,504,698,009,598,098,946,632,131,119,202,888,652,177,205,227,
560,489,760,097,566,235,307,949,629,432,249,913,466,104,952,335,526,270,918,
391,914,776,361,196,075,529,143,022,306,491,829,776,193,119,567,094,955,988,
410,830,430,413,854,180,975,428,670,573,163,075,430,297,304,951,006,484,270,
255,402,076,219,753,242,707,242,299,908,910,571,292,591,532,802,043,659,659,
900,500,894,032,199,015,771,804,998,983,284,285,275,957,068,345,740,200,214,
906,437,909,346,755,000,303,938,514,683,639,816,856,283,502,668,773,737,870,
147,846,794,101,316,656,145,236,428,248,117,866,110,979,907,095,746,183,666,
781,061,654,634,444,839,400,728,936,958,823,695,712,289,610,252,360,508,949,
180,615,733,737,170,443,928,173,140,771,015,231,064,507,053,253,273,832,822,
251,653,456,942,512,721,537,582,064,495,114,512,657,243,825,153,753,935,857,
066,978,157,981,273,133,042,751,598,863,963,778,074,082,990,846,444,619,468,
711,106,620,643,577,165,779,595,658,585,151,886,722,940,278,413,230,565,768,
806,772,570,024,292,634,916,122,347,350,104,603,196,587,768,119,783,783,290,
906,938,407,638,738,208,974,023,606,203,652,367,602,248,035,419,198,537,472,
786,771,391,356,458,305,078,009,836,343,466,840,771,857,198,126,410,518,909,
475,848,500,106,170,110,088,278,368,336,661,862,937,960,705,954,574,694,304,
090,063,316,072,748,932,684,476,345,931,422,188,774,928,507,533,308,574,155,
953,575,145,096,342,002,858,373,678,014,356,610,126,788,145,098,768,677,006,
517,472,835,975,121,094,442,743,195,753,905,141,856,016,245,023,643,818,920,
009,661,484,508,487,412,398,136,550,281,647,508,334,586,929,666,361,657,124,
426,975,100,865,718,376,014,102,011,568,410,636,752,120,737,645,634,520,055,
347,411,639,234,284,931,991,163,877,553,150,814,619,683,851,566,572,600,406,
695,583,220,373,901,942,884,806,404,996,024,284,049,865,812,018,754,125,347,
094,249,464,653,608,720,959,235,105,354,346,247,358,081,897,504,481,499,409,
364,044,938,400,873,588,484,404,060,678,209,865,703,667,581,710,624,079,522,
113,001,999,332,904,674,405,108,611,412,023,954,681,006,020,808,403,000,320,
561,743,402,094,000,134,659,866,314,155,539,117,301,095,176,890,424,003,849,
780,077,760,919,334,855,846,724,589,316,528,039,283,780,673,924,284,173,940,
501,249,843,980,459,170,319,645,950,387,636,194,074,763,533,612,526,238,938,
148,053,171,625,516,753,619,943,355,741,517,449,229,813,114,399,278,319,101,
642,622,938,576,429,932,882,567,726,485,714,850,221,189,621,865,698,807,173,
424,883,603,790,574,886,914,662,368,764,336,145,288,570,735,543,923,354,659,
674,922,745,853,620,036,838,387,886,307,045,625,569,321,275,121,840,882,762,
481,550,934,632,588,646,103,584,578,606,195,619,820,580,801,383,621,504,430,
419,714,136,036,190,474,868,596,312,161,126,236,953,798,430,700,485,049,879,
834,708,963,615,233,107,581,502,551,622,775,347,404,146,210,797,915,723,166,
253,959,387,832,765,021,135,136,498,042,145,798,151,743,346,095,340,716,859,
868,750,009,724,824,009,637,727,498,853,242,779,766,510,866,859,202,215,429,
578,281,365,098,819,536,420,141,420,593,381,606,581,667,747,318,546,346,264,
058,338,733,386,822,790,209,792,196,032,525,834,676,132,051,367,462,548,514,
445,893,939,995,289,806,603,819,508,493,706,017,569,024,964,723,983,620,749,
677,132,124,900,754,431,130,656,476,292,313,733,897,206,679,822,068,702,123,
229,353,756,235,088,548,977,788,175,241,236,834,687,855,039,312,485,214,705,
223,620,143,785,433,830,620,151,928,256,330,974,795,726,892,803,955,649,267,
529,471,136,614,139,070,002,543,397,155,758,084,356,899,415,428,655,533,901,
864,266,587,678,348,578,046,420,187,743,089,883,225,786,651,178,446,546,067,
681,977,379,654,700,169,468,216,691,645,505,458,005,566,827,239,800,058,952,
216,531,110,952,693,469,151,973,726,720,733,892,532,194,833,646,801,770,575,
250,535,902,509,602,578,832,309,159,617,829,651,254,800,260,321,443,362,468,
297,024,877,083,166,238,538,565,765,139,409,408,108,920,077,186,809,428,032,
742,765,386,479,401,082,385,897,378,589,907,629,104,879,322,565,668,689,443,
492,125,250,216,411,147,301,572,042,882,999,520,120,703,122,641,829,989,875,
636,354,089,620,986,452,862,246,909,950,175,174,441,901,029,163,412,397,271,
483,184,361,522,638,085,747,708,788,431,842,940,180,793,947,923,993,371,076,
759,912,345,207,201,168,542,197,667,493,759,221,704,256,190,958,081,710,294,
089,883,528,708,394,057,100,159,816,202,049,922,807,021,922,916,201,158,549,
532,671,121,624,856,743,446,104,300,131,518,726,052,112,689,996,421,812,090,
372,081,195,132,839,626,037,024,791,684,163,174,361,515,768,740,446,663,866,
191,352,260,046,177,819,593,564,862,020,788,396,216,377,544,512,028,320,386,
014,597,815,970,202,284,830,023,172,446,679,248,152,241,981,224,265,300,592,
224,237,346,569,956,072,651,945,289,798,254,427,705,639,681,775,018,465,221,
737,038,024,182,574,076,217,011,932,354,076,150,515,964,703,383,979,358,712,
042,990,211,984,976,275,427,494,932,589,277,386,228,754,437,625,104,920,026,
244,753,837,263,188,568,151,757,982,308,769,903,007,869,457,495,067,605,505,
796,299,034,770,029,299,206,385,112,513,131,174,742,184,231,620,178,632,658,
944,947,547,633,808,207,532,301,172,844,130,133,250,615,978,685,232,114,864,
501,828,769,268,307,992,041,460,785,651,569,989,604,076,039,747,078,780,029,
689,917,084,303,320,816,128,683,072,900,626,200,540,674,328,146,409,173,610,
038,332,365,629,079,117,341,479,213,858,358,237,028,624,328,557,001,432,192,
013,532,364,732,833,922,298,676,461,766,808,328,283,959,887,575,930,015,108,
579,543,958,525,914,252,069,084,580,063,018,800,501,575,374,567,326,600,902,
539,061,678,810,118,435,852,588,669,668,191,727,944,723,807,514,750,992,017,
296,381,342,725,376,161,238,605,340,262,172,122,514,318,073,968,847,309,849,
369,546,917,833,995,733,447,079,283,697,115,667,869,833,325,779,307,367,518,
538,464,956,073,501,935,502,640,162,276,704,976,422,979,374,209,145,868,118,
519,882,078,990,993,610,979,937,200,768,766,585,330,102,660,903,407,909,991,
300,746,716,196,758,751,410,663,486,323,440,810,891,020,167,188,306,981,127,
016,520,216,273,288,459,421,563,401,423,306,977,217,140,523,190,395,708,239,
537,128,895,037,758,913,575,443,042,808,087,952,241,801,055,083,321,474,610,
853,808,946,538,865,845,509,182,649,018,904,067,053,892,124,153,500,183,393,
280,789,978,909,689,119,283,466,203,600,325,450,123,562,940,472,134,495,546,
392,652,488,019,034,194,864,200,903,423,038,529,462,592,603,334,512,437,086,
034,447,719,550,838,549,769,226,472,488,195,997,121,192,101,500,529,250,132,
959,415,525,047,101,742,366,046,672,489,142,982,850,802,171,051,118,828,424,
085,395,297,082,587,047,778,489,056,184,390,647,088,107,505,441,797,580,372,
921,545,960,995,967,670,659,687,777,376,855,030,314,932,024,243,967,328,466,
926,243,908,752,452,353,929,748,862,003,535,527,667,713,491,334,001,416,108,
160,945,484,639,825,702,728,193,347,392,312,005,585,863,623,931,244,998,924,
326,165,746,349,775,705,809,056,879,475,089,911,123,337,279,101,583,181,736,
281,441,457,696,475,687,288,992,949,406,938,056,650,983,178,106,598,874,531,
242,787,641,443,306,642,191,427,586,574,527,898,363,744,939,341,581,144,127,
861,263,513,443,656,264,464,168,205,032,045,545,131,247,883,356,180,582,608,
372,669,864,579,748,818,445,096,122,590,518,110,374,008,476,764,383,181,620,
107,817,774,149,672,917,148,623,007,586,119,930,723,115,386,684,020,453,155,
176,176,168,998,091,941,244,110,043,222,094,556,434,481,328,206,387,635,195,
564,248,358,255,241,508,953,866,268,426,201,357,210,305,701,203,032,971,328,
607,396,977,944,548,092,846,661,570,769,529,601,261,988,407,511,111,320,450,
061,580,560,577,027,747,567,514,907,481,799,451,896,358,473,578,623,454,035,
816,531,388,090,715,457,566,305,684,508,550,954,228,235,057,980,828,104,670,
338,739,347,141,835,603,837,622,026,303,898,024,024,101,916,521,618,762,762,
251,433,833,087,918,461,960,099,815,788,041,639,952,353,194,855,343,411,794,
618,762,995,418,488,934,007,657,820,033,113,383,260,952,223,073,607,143,502,
589,465,364,464,830,552,460,074,897,923,125,846,783,183,581,183,772,805,771,
141,506,969,297,827,457,766,002,052,881,214,015,500,795,347,269,540,937,579,
621,703,735,600,500,218,920,780,914,798,019,557,270,290,402,101,220,818,218,
873,128,654,018,661,297,793,445,045,489,352,015,569,860,663,853,253,448,669,
945,364,102,739,849,007,828,135,754,022,780,947,700,386,745,607,770,356,862,
578,850,437,435,337,942,486,476,485,309,483,256,154,418,669,296,355,837,699,
753,563,081,319,100,839,602,892,151,420,322,977,258,517,385,609,771,529,858,
000,045,715,889,044,471,808,395,863,105,760,727,922,831,706,525,194,046,230,
621,041,496,565,837,336,629,818,991,984,725,298,982,159,197,593,927,104,384,
942,672,557,138,236,123,363,445,221,364,951,691,054,986,745,504,460,314,205,
388,826,244,930,346,832,197,134,281,530,085,344,516,521,165,579,513,081,561,
167,414,537,959,875,877,296,294,686,613,779,026,807,154,490,680,590,902,892,
887,041,152,212,438,503,052,982,330,086,953,853,540,832,412,391,434,796,962,
217,857,493,559,988,888,349,169,196,750,438,446,941,522,433,635,296,159,864,
726,721,449,749,968,527,728,195,849,750,491,896,256,595,330,851,161,521,878,
592,183,832,078,046,981,398,283,239,443,825,733,762,799,796,372,155,839,753,
772,475,788,015,660,590,413,374,958,836,522,740,912,055,190,114,920,971,984,
129,108,195,536,080,269,367,884,032,700,595,870,819,544,932,282,034,172,581,
739,759,928,218,071,480,653,811,376,232,356,534,924,636,742,178,367,528,529,
845,832,513,881,097,607,560,552,142,686,066,659,989,967,033,986,752,851,432,
442,087,142,414,342,448,317,077,906,905,311,751,228,232,981,434,144,001,471,
391,400,057,325,816,191,312,011,739,066,216,578,439,290,025,072,402,486,416,
287,263,620,762,911,864,789,288,579,875,391,437,668,617,658,332,862,489,155,
974,046,844,344,999,850,445,879,357,005,155,258,462,018,548,746,052,393,138,
672,829,884,789,374,334,750,574,975,617,991,589,036,765,696,962,293,837,535,
029,471,063,390,149,483,397,322,721,752,838,922,853,910,107,142,213,415,646,
060,506,284,247,032,252,110,571,801,318,631,736,957,922,601,558,689,014,375,
215,519,841,397,170,087,132,226,663,206,740,739,316,417,789,883,593,786,370,
954,989,668,787,364,542,082,924,630,702,930,438,461,090,795,133,400,356,046,
759,091,457,776,934,151,818,428,710,991,758,268,861,600,591,074,898,588,483,
715,878,021,716,546,965,840,850,928,942,800,880,957,713,352,129,481,839,191,
167,359,870,385,953,939,886,512,463,686,188,269,335,306,189,321,065,762,209,
864,781,521,981,578,921,016,548,458,399,041,736,295,536,258,254,159,777,637,
004,151,486,832,071,708,837,453,240,476,114,337,385,544,969,263,558,992,885,
553,845,912,328,348,373,791,862,801,974,293,854,648,130,727,929,374,866,455,
725,916,135,536,883,608,939,075,391,573,188,000,583,340,746,494,850,916,011,
725,952,560,016,250,349,952,292,486,007,882,315,574,454,046,746,043,725,421,
166,923,561,905,723,566,729,963,899,461,364,568,933,016,165,552,791,949,804,
944,688,465,054,923,555,459,124,595,317,808,570,952,771,181,973,814,902,852,
369,132,013,901,572,568,461,006,405,142,468,951,491,974,826,005,264,002,430,
632,435,246,996,018,900,099,509,563,107,450,948,805,311,011,519,893,320,191,
553,643,205,401,256,048,846,348,801,775,679,046,577,608,422,564,106,435,204,
110,830,187,211,555,583,751,385,153,917,321,775,774,281,209,372,926,878,531,
479,439,729,234,709,248,849,478,084,159,508,549,086,496,570,918,354,848,060,
129,614,726,338,027,045,425,877,177,817,776,181,183,258,364,178,314,432,568,
774,757,251,623,898,584,375,625,770,831,002,813,917,183,465,512,742,058,609,
324,592,991,184,681,270,082,731,324,437,971,179,947,596,538,477,383,957,501,
256,678,364,759,870,917,296,646,127,335,531,669,955,790,346,876,078,269,135,
513,106,565,701,603,269,614,590,090,126,490,209,318,745,235,847,286,884,854,
736,076,202,323,318,240,768,916,441,536,801,688,986,041,478,855,108,352,748,
893,291,006,887,242,378,938,919,558,807,172,099,496,899,089,016,332,635,709,
620,586,592,050,372,479,951,432,328,894,444,747,006,494,475,773,094,204,386,
677,699,233,152,391,104,929,406,455,519,353,170,465,587,050,080,231,292,219,
152,684,501,606,241,867,059,342,814,260,840,456,164,530,308,587,511,103,392,
474,788,711,638,617,959,070,630,708,659,205,086,179,786,073,074,614,416,196,
117,763,955,256,470,082,749,453,632,249,239,902,061,517,697,245,057,402,836,
037,912,919,287,186,375,589,711,114,626,617,432,892,590,174,141,946,023,013,
137,555,775,009,541,015,325,173,853,379,131,806,748,802,538,621,890,491,957,
729,815,758,935,460,797,940,122,091,902,756,804,674,867,781,222,315,331,784,
420,611,690,611,138,520,700,955,131,101,837,834,955,107,873,785,170,411,725,
283,272,818,085,436,515,123,913,401,584,720,513,589,844,781,723,509,990,306,
860,090,315,442,100,203,482,838,801,134,668,414,296,547,245,519,005,438,799,
308,750,130,445,580,874,173,636,627,796,598,006,823,113,181,974,729,710,550,
135,992,170,913,629,733,664,567,293,940,989,479,264,343,818,914,724,516,223,
210,936,996,594,651,549,736,171,685,319,113,092,723,545,727,090,384,968,512,
010,883,078,761,599,303,632,436,843,364,212,771,039,944,200,347,008,611,087,
263,405,658,995,278,189,331,309,172,192,931,651,259,161,958,535,937,394,991,
774,245,217,534,588,431,299,978,165,326,207,518,773,838,579,453,963,018,952,
364,861,800,689,829,996,299,564,747,411,802,308,996,760,353,723,777,994,445,
260,596,194,161,466,476,980,683,834,181,810,203,470,651,798,124,096,316,503,
040,095,574,613,878,389,846,935,489,883,316,948,721,227,252,007,324,104,220,
955,526,987,853,446,560,626,900,058,329,852,704,445,045,706,127,265,742,802,
136,367,253,169,621,826,355,572,003,633,272,461,009,112,579,214,780,905,022,
296,905,301,880,726,561,672,585,553,382,686,386,600,834,357,551,168,475,911,
070,923,022,283,044,429,110,111,420,732,681,129,085,072,247,455,733,819,187,
190,215,869,755,940,174,149,351,535,917,909,924,672,600,118,228,246,467,465,
069,223,955,771,439,262,039,467,932,290,534,711,160,644,422,779,426,692,435,
610,867,900,034,845,933,323,749,121,600,852,868,443,239,696,388,299,239,132,
272,927,971,132,087,911,073,476,660,111,291,446,593,190,334,272,028,274,288,
149,087,087,967,636,982,591,118,973,819,485,643,568,451,613,824,391,943,399,
936,332,231,211,495,252,756,216,603,101,349,056,971,425,377,882,892,693,571,
918,320,097,364,639,849,146,910,632,972,332,527,631,832,668,749,291,568,279,
029,759,706,903,863,526,275,803,797,016,415,146,862,190,117,157,714,780,603,
134,061,327,076,383,476,883,871,622,189,475,323,632,729,925,753,072,445,392,
773,517,256,638,190,751,216,847,255,253,677,149,813,147,142,387,741,618,878,
407,333,367,883,911,069,430,746,632,114,174,677,855,302,456,177,043,161,735,
770,554,770,365,830,323,516,407,761,853,082,277,447,738,581,969,607,206,116,
788,733,346,549,968,377,715,063,451,757,010,341,183,141,951,938,296,619,854,
009,365,001,994,628,779,630,540,740,419,606,448,203,866,799,909,819,374,818,
136,553,787,244,604,855,758,658,834,778,723,927,481,833,047,943,011,741,002,
385,005,347,592,837,181,327,717,480,247,247,378,252,415,212,818,191,655,043,
485,013,276,634,879,735,477,690,418,793,789,163,808,891,762,681,337,964,684,
370,143,273,387,257,795,092,763,660,550,357,959,852,737,492,060,842,558,484,
413,874,209,325,479,864,351,188,860,171,577,398,381,037,695,768,104,738,657,
496,848,550,940,255,291,586,246,473,751,830,016,241,977,574,777,616,556,760,
230,731,821,464,294,005,980,946,852,691,961,120,534,568,238,548,308,858,585,
785,498,347,786,968,550,524,712,935,155,959,461,298,217,839,773,251,595,181,
767,734,824,795,044,626,714,343,956,507,601,080,465,509,939,817,416,463,467,
855,130,539,463,060,751,692,311,594,118,031,363,044,868,538,155,143,817,660,
928,885,561,700,200,867,496,114,406,182,148,790,812,831,668,763,003,506,239,
478,023,336,447,027,022,630,824,436,267,185,886,542,407,352,921,551,307,728,
060,598,827,052,705,039,940,329,063,581,899,717,573,842,467,339,687,495,023,
147,010,041,931,458,878,681,768,122,907,798,512,586,907,605,960,406,078,874,
375,665,289,834,720,296,954,263,610,650,337,534,882,075,144,095,832,604,640,
658,747,410,209,952,435,483,315,496,980,458,704,262,445,586,799,912,999,338,
428,887,612,791,121,371,539,561,492,408,209,008,409,823,634,466,061,742,253,
920,300,629,681,179,680,058,135,040,333,773,688,115,420,820,582,693,514,721,
872,418,403,898,981,003,818,123,852,375,035,237,857,638,294,772,229,678,378,
619,838,921,785,882,437,314,287,401,238,835,236,730,184,696,680,451,449,582,
899,073,247,914,682,078,801,917,397,819,771,602,310,793,884,672,805,259,128,
961,359,788,992,340,773,275,810,666,755,628,008,181,696,297,490,102,881,335,
429,251,356,637,998,087,924,386,320,281,211,417,608,742,473,454,482,074,879,
768,121,699,814,557,776,446,526,665,202,213,633,311,852,793,755,084,621,376,
510,707,539,269,731,655,705,888,044,024,909,641,301,743,769,253,327,818,919,
419,671,156,915,114,615,774,274,300,015,844,612,511,126,372,964,093,225,355,
437,863,462,884,816,627,013,988,921,799,102,904,177,874,463,193,895,224,735,
233,283,486,836,909,156,309,486,742,999,959,230,355,645,050,433,582,826,125,
126,524,812,072,815,658,711,159,089,603,420,195,873,658,077,261,856,856,933,
064,500,788,970,485,744,082,273,421,638,639,592,196,907,607,501,007,200,315,
213,523,048,050,951,608,511,738,093,883,667,238,446,193,712,561,640,875,156,
191,561,781,858,631,649,855,493,611,495,646,556,949,161,391,457,007,411,887,
546,005,221,977,302,482,971,441,819,688,097,420,897,444,387,916,469,676,252,
568,035,982,723,106,357,254,590,745,069,363,976,316,371,937,617,913,500,834,
513,750,080,625,382,044,180,194,939,534,756,341,818,287,521,078,114,546,163,
409,575,030,811,859,753,980,526,302,264,627,587,625,610,498,725,554,875,672,
382,513,373,623,668,158,522,123,262,800,720,296,036,735,019,256,195,245,605,
988,894,200,557,630,365,709,733,830,303,688,768,747,194,194,987,365,482,957,
612,733,610,840,826,847,690,124,471,682,029,851,033,356,206,251,542,036,544,
434,560,483,873,777,830,433,908,230,039,757,838,882,875,753,244,301,024,095,
362,788,217,289,130,550,420,175,483,184,650,245,460,859,210,818,520,954,112,
450,243,008,936,372,117,708,414,359,724,373,538,915,165,782,392,126,217,926,
891,573,458,338,107,414,753,666,769,476,337,108,090,473,761,410,038,151,975,
668,648,394,439,877,316,604,371,797,654,091,496,612,423,555,819,317,645,909,
421,083,859,215,232,725,412,719,683,423,326,755,717,193,044,953,358,286,218,
037,988,496,309,101,923,653,909,013,221,223,444,781,110,452,205,747,075,894,
133,202,984,065,679,832,251,781,481,715,278,340,047,011,939,311,766,847,723,
818,372,052,201,701,385,528,420,783,084,305,189,088,052,696,128,687,626,509,
568,136,242,035,206,289,934,210,781,174,619,559,596,554,405,811,770,982,511,
728,713,739,580,697,393,620,529,626,507,422,401,723,624,317,585,524,829,519,
577,715,921,246,673,421,939,410,837,723,869,464,531,480,082,254,076,810,267,
744,599,646,390,969,997,550,113,310,981,499,533,920,756,024,379,476,615,362,
302,622,739,081,334,548,606,454,687,448,178,359,792,154,492,516,718,063,823,
922,701,422,443,057,055,742,527,425,721,001,886,577,764,186,668,672,785,216,
905,889,123,336,686,458,145,718,936,541,295,181,428,227,739,808,510,847,860,
549,199,696,365,847,982,866,635,870,685,381,344,263,713,051,618,780,856,176,
834,747,882,241,518,698,986,924,261,736,925,819,652,670,911,038,504,789,347,
844,080,436,127,824,616,138,616,258,412,366,214,291,162,582,239,876,856,800,
266,997,837,960,904,092,253,947,278,014,680,868,210,481,293,497,886,071,722,
188,411,418,797,693,116,335,219,437,096,479,861,474,335,500,220,093,509,399,
350,582,564,962,148,163,856,106,351,002,059,660,043,254,178,789,685,677,095,
825,587,088,848,819,003,205,256,041,029,413,032,042,287,277,375,332,113,702,
973,513,363,033,185,558,137,953,972,380,809,915,064,681,114,367,673,768,743,
553,940,937,503,278,084,942,533,289,618,970,000,544,585,851,737,161,830,626,
448,761,822,052,465,230,578,266,200,878,815,451,152,264,605,424,702,879,977,
427,663,907,508,261,026,728,152,491,794,453,316,684,030,315,202,192,888,339,
939,961,934,537,851,785,262,603,214,414,684,791,773,060,017,436,372,295,433,
500,953,246,277,483,245,839,790,171,237,554,734,046,763,577,528,299,966,636,
503,982,381,887,618,622,898,637,241,538,662,117,679,949,232,025,833,279,803,
181,971,596,575,064,955,076,285,004,835,316,529,107,912,670,607,413,238,674,
886,501,482,513,001,513,984,547,390,563,379,654,177,935,903,171,272,170,548,
934,139,581,459,554,094,177,187,909,215,352,143,349,269,775,865,681,879,252,
867,294,169,575,482,081,378,533,357,807,384,904,622,707,234,391,789,656,677,
552,053,137,654,777,237,011,675,434,424,502,685,972,382,200,932,507,296,776,
379,140,355,405,309,226,827,302,653,587,286,830,788,393,903,820,199,160,109,
501,292,743,229,177,777,007,148,155,484,095,065,842,218,558,566,135,232,449,
200,997,264,195,124,266,473,918,124,941,130,137,464,862,556,592,113,128,445,
497,904,049,271,715,913,543,970,476,319,909,510,740,554,250,380,845,839,066,
451,541,444,436,315,070,335,943,923,921,382,025,792,587,970,598,414,534,274,
628,018,621,247,373,626,676,493,717,969,651,118,340,129,849,523,674,746,883,
314,070,692,804,557,004,336,206,729,396,449,990,020,051,912,690,308,794,247,
621,107,496,091,367,000,749,483,235,659,169,339,064,570,608,028,749,827,385,
450,336,802,016,425,058,264,123,726,294,322,229,893,610,757,220,886,157,537,
679,487,361,451,720,279,678,644,669,116,969,637,833,792,670,264,350,167,827,
916,482,447,859,828,305,757,244,528,104,202,576,330,387,130,014,893,568,088,
935,654,154,329,885,842,844,116,381,194,310,344,551,813,950,182,848,751,698,
182,054,466,055,713,378,754,932,479,007,428,770,164,106,302,026,223,871,842,
119,856,236,342,887,535,435,409,694,251,048,251,077,911,624,476,844,576,789,
072,606,385,595,185,138,323,680,963,302,386,310,146,491,154,860,968,318,731,
954,055,244,352,671,397,857,830,491,076,224,348,555,622,210,171,520,848,630,
528,746,808,593,455,554,253,531,458,696,353,714,555,627,014,388,629,362,524,
717,437,849,459,944,164,062,654,093,737,583,165,912,576,616,697,058,127,061,
903,383,365,550,817,267,869,627,649,500,572,744,179,307,584,469,916,834,033,
366,348,210,665,206,112,287,428,978,563,514,143,829,539,735,387,486,642,717,
417,789,026,261,994,566,456,190,817,293,040,911,489,393,847,060,016,378,497,
356,459,228,782,885,178,374,076,285,073,194,058,286,015,107,762,897,375,402,
522,402,570,441,287,924,221,376,035,330,320,266,308,646,582,306,120,985,523,
835,187,551,609,896,553,590,951,656,694,418,091,387,413,923,502,584,944,160,
882,569,479,251,259,182,836,018,053,629,707,597,350,676,320,487,645,160,267,
030,344,393,734,603,022,427,580,023,721,255,757,358,611,112,875,977,997,813,
910,453,553,030,950,677,969,595,743,457,148,992,949,264,162,004,313,477,149,
962,358,820,194,225,871,779,389,546,740,765,097,895,360,986,240,726,529,562,
981,241,323,572,850,815,461,664,835,013,866,156,728,879,064,340,921,998,734,
727,589,986,878,999,575,494,766,681,496,402,771,764,725,539,779,511,549,037,
868,754,180,910,961,367,576,520,242,531,835,288,822,595,740,067,379,822,154,
154,275,619,206,178,808,691,830,657,832,560,199,637,545,567,292,970,166,484,
699,782,032,505,576,563,996,988,355,886,328,806,096,016,003,875,722,720,777,
982,558,456,100,545,658,796,672,245,032,803,002,162,316,651,174,545,153,853,
456,236,240,080,714,817,185,525,828,224,536,068,363,768,467,974,617,449,291,
108,414,155,286,946,949,696,319,704,716,000,102,969,305,364,702,344,983,932,
221,588,438,519,629,020,906,795,927,811,443,151,640,353,722,359,122,520,490,
157,693,485,363,593,777,912,783,287,646,514,617,480,301,632,414,021,989,156,
071,981,106,240,033,289,828,774,804,668,835,159,694,694,123,607,318,122,796,
443,891,047,638,663,025,732,877,740,382,459,589,609,687,463,506,342,292,414,
729,011,550,111,447,029,271,331,476,041,696,746,709,760,447,251,262,208,777,
773,195,739,825,177,108,001,109,952,344,069,315,906,537,108,800,864,141,915,
036,244,766,416,513,178,424,335,460,687,277,342,549,770,264,567,676,605,512,
482,083,687,758,543,264,589,937,127,007,272,367,712,942,719,129,608,637,437,
846,388,939,174,913,360,167,302,392,861,627,407,381,450,824,116,949,165,020,
562,591,622,511,745,706,479,847,409,226,305,902,885,466,158,774,250,925,350,
725,877,429,353,525,017,918,689,170,929,281,935,383,436,623,152,886,453,226,
192,002,181,095,006,953,215,436,654,271,823,998,556,622,718,917,886,968,848,
080,802,260,442,453,306,054,686,739,003,924,969,116,858,114,077,758,130,650,
998,329,133,842,768,946,230,518,436,027,411,262,669,860,512,413,434,070,768,
797,801,585,570,417,423,520,189,572,998,575,125,963,415,309,294,359,139,345,
411,925,876,331,061,598,514,091,824,242,988,649,191,312,404,375,976,579,368,
155,473,029,374,180,981,904,737,723,143,746,203,321,040,664,051,298,816,097,
604,641,504,826,973,358,576,440,453,535,717,135,008,172,944,320,652,802,938,
684,814,205,159,331,050,167,509,321,137,509,781,329,800,562,725,348,925,977,
259,539,375,387,282,391,955,395,191,781,391,770,001,484,842,997,504,845,311,
438,992,342,364,860,259,178,325,118,649,551,289,766,609,951,745,296,471,698,
021,007,939,581,468,191,043,171,589,531,452,045,156,661,614,623,617,015,265,
675,101,367,272,402,572,842,207,121,700,818,716,110,004,719,877,530,347,397,
979,449,902,914,087,142,729,008,901,924,900,790,856,165,299,715,253,516,512,
624,369,370,667,244,368,272,510,993,336,008,671,167,300,841,035,113,939,399,
797,042,290,246,288,294,042,452,452,201,603,656,718,900,046,141,009,946,801,
741,370,396,095,091,401,579,025,709,121,213,652,686,554,613,414,689,829,913,
208,605,151,893,389,582,168,653,567,599,073,875,022,932,644,180,752,012,122,
998,671,885,979,029,865,317,532,336,366,946,514,966,244,036,444,573,652,037,
120,469,289,055,115,977,973,402,174,141,003,694,713,927,342,845,856,061,990,
621,975,599,776,083,900,470,492,963,082,668,747,969,012,016,936,905,254,459,
641,050,087,165,170,286,079,501,455,244,796,212,461,630,258,828,248,731,651,
820,040,152,950,105,465,775,278,653,586,976,411,173,511,848,118,375,456,815,
401,782,516,474,255,803,935,668,403,218,208,906,781,473,568,671,997,393,489,
423,230,192,775,159,649,934,053,310,101,946,603,188,474,499,422,786,383,550,
188,994,178,865,916,694,863,380,842,517,394,128,913,131,853,300,684,137,537,
588,471,105,038,432,169,553,377,227,321,062,444,468,080,344,752,445,922,972,
771,458,444,173,527,458,475,347,509,305,503,128,764,640,106,403,091,304,140,
371,488,630,256,609,170,729,527,318,639,681,122,674,727,951,909,398,790,689,
201,319,580,437,815,270,043,877,662,036,357,814,683,248,850,556,242,537,891,
676,747,157,742,553,413,748,316,079,643,732,154,950,697,829,636,180,642,552,
660,529,463,755,048,180,067,050,891,946,115,516,747,350,883,064,005,815,389,
465,116,010,811,633,619,983,978,330,107,388,707,526,041,865,093,581,466,378,
162,426,784,565,707,348,377,788,913,504,369,994,757,149,029,066,660,238,333,
643,174,811,010,990,072,448,675,480,572,371,994,026,294,800,468,452,257,075,
117,359,592,256,582,182,434,227,068,531,815,210,166,749,294,997,431,628,464,
250,311,468,973,888,483,279,920,558,676,355,444,142,689,074,212,799,070,138,
991,656,263,422,494,781,486,907,957,886,217,315,882,303,970,357,847,705,106,
162,520,934,916,237,078,348,595,722,624,233,877,024,711,056,006,170,381,930,
413,422,912,804,258,433,331,587,158,726,949,673,646,219,371,541,377,453,063,
305,334,506,898,686,696,403,623,114,040,591,740,835,307,281,591,320,378,385,
213,710,749,271,574,320,206,766,019,444,336,744,043,210,253,059,939,714,350,
774,435,463,244,766,553,336,647,295,643,692,702,983,185,501,868,773,802,939,
625,215,693,128,856,340,200,584,585,918,246,396,078,449,715,834,997,241,520,
811,813,206,237,525,158,088,043,825,917,902,945,838,709,730,672,046,283,046,
998,848,907,004,529,107,597,508,651,861,918,195,368,551,293,058,486,892,914,
307,400,550,371,773,879,723,645,910,534,082,641,916,457,790,055,121,256,215,
854,829,565,027,670,274,167,941,115,951,725,087,667,563,107,203,193,067,725,
574,663,895,973,048,057,149,759,493,766,156,658,858,612,097,824,166,429,360,
712,065,710,653,748,474,875,731,982,299,521,797,939,682,273,072,727,282,806,
448,635,409,263,731,422,054,051,753,464,145,928,596,005,605,902,538,861,629,
464,496,583,511,585,626,328,905,278,362,133,067,519,401,342,297,826,950,742,
099,601,529,691,174,968,880,620,389,537,218,073,078,031,257,906,643,554,031,
605,015,192,930,687,763,590,096,667,748,751,818,310,696,520,133,670,800,337,
234,854,212,699,799,882,118,563,757,667,317,501,033,943,841,264,157,079,885,
468,195,495,608,781,583,487,669,769,227,134,995,212,665,595,399,545,935,226,
650,601,204,648,400,093,140,118,246,861,708,719,244,174,207,290,141,148,332,
335,941,768,671,085,165,449,746,055,867,544,797,857,505,763,682,675,377,349,
113,881,248,738,577,538,281,278,893,801,533,113,788,691,843,417,215,454,504,
832,828,215,830,097,697,186,737,520,056,113,589,144,805,209,075,675,958,210,
531,828,238,994,975,865,962,917,535,028,162,221,692,894,586,217,088,478,079,
482,639,066,750,583,691,847,350,892,674,947,485,634,903,242,646,295,794,369,
615,952,450,756,825,037,835,725,760,599,950,304,303,992,695,304,981,385,724,
934,739,889,882,133,908,420,187,343,702,485,905,109,417,677,189,178,600,635,
577,795,916,051,607,824,298,702,663,408,752,656,318,011,032,143,682,852,014,
448,212,727,303,417,614,845,550,482,085,860,586,491,724,718,572,718,714,834,
636,077,698,201,625,015,689,071,430,527,954,018,556,115,793,902,953,116,766,
358,299,253,161,830,000,101,330,806,197,231,865,410,301,728,905,673,321,797,
502,796,609,508,643,602,396,760,702,105,513,998,708,175,298,356,481,262,513,
013,098,452,537,807,861,779,725,379,023,135,030,517,931,032,773,474,538,646,
162,762,228,730,448,958,972,123,562,654,978,095,382,501,451,200,479,784,159,
962,480,540,469,916,646,262,502,164,443,619,033,096,686,662,645,603,011,606,
072,052,844,943,146,644,096,750,069,527,981,431,356,970,846,651,856,689,515,
214,897,579,386,196,557,597,997,306,397,752,568,809,962,890,151,424,353,215,
341,822,742,837,882,092,407,998,641,051,067,599,943,166,497,017,524,526,174,
863,531,708,038,217,571,393,392,178,646,974,419,502,651,127,464,485,560,918,
334,406,452,975,297,579,531,314,715,094,376,650,853,279,964,972,616,637,989,
335,118,311,880,359,381,440,476,365,116,970,402,333,678,581,790,005,703,769,
967,839,353,449,583,042,661,162,005,082,426,576,280,424,638,992,668,703,148,
656,117,939,196,596,691,081,308,306,313,731,850,122,974,541,391,737,079,245,
210,075,198,525,263,845,474,274,871,255,462,379,994,530,686,830,581,122,320,
789,533,207,797,489,171,321,869,598,806,577,436,699,392,776,963,090,683,255,
707,667,961,255,602,411,421,538,350,390,084,769,084,439,792,732,200,943,958,
427,261,286,894,332,710,365,651,275,351,856,828,551,045,612,558,181,812,712,
809,268,383,785,031,087,096,288,469,209,143,453,293,969,292,748,129,704,109,
203,704,319,227,710,852,634,081,943,183,534,718,819,182,645,749,762,317,866,
064,478,801,354,764,753,508,115,503,296,895,987,159,398,981,987,295,700,216,
606,966,397,980,494,481,715,727,030,192,436,969,233,285,387,576,757,000,573,
064,662,019,044,674,164,105,290,360,796,125,032,955,598,853,192,526,154,184,
059,798,757,193,217,302,527,015,742,827,645,753,716,925,501,726,722,470,962,
058,287,664,609,443,626,724,792,036,966,154,332,081,124,736,177,681,979,732,
079,001,500,096,733,586,953,004,090,206,968,504,382,974,705,515,021,333,907,
657,159,416,806,309,317,856,221,808,083,008,906,231,714,500,720,899,799,815,
679,008,646,216,931,595,624,136,591,641,763,251,021,671,792,937,494,250,844,
340,798,877,143,639,458,322,936,014,522,093,685,250,807,387,394,945,780,400,
652,440,621,079,555,401,447,848,580,865,430,922,131,647,205,564,566,902,789,
648,013,535,776,714,462,998,101,936,697,198,498,827,442,256,464,466,625,539,
966,208,442,380,006,408,025,793,597,721,013,093,544,812,233,422,681,578,338,
741,992,897,976,528,655,639,005,402,865,746,315,298,817,170,697,748,815,288,
027,811,923,872,430,062,141,130,684,828,031,702,348,892,872,046,517,501,842,
642,242,792,107,362,058,703,089,183,043,964,187,745,714,863,399,639,468,062,
338,049,826,067,790,366,365,829,165,419,233,077,514,498,763,272,747,374,343,
527,482,203,080,728,290,919,314,350,280,317,229,185,274,606,206,939,597,872,
387,474,577,571,935,746,454,746,791,097,660,799,350,522,573,142,753,922,010,
573,995,876,537,295,549,567,478,422,943,984,678,862,131,017,788,198,658,638,
358,940,462,625,311,876,792,192,985,067,180,179,791,978,280,877,793,373,129,
652,196,093,250,056,942,062,434,070,664,231,992,388,150,093,683,048,036,604,
978,639,349,694,621,314,646,394,530,902,950,898,255,260,084,478,517,934,505,
845,919,964,300,257,575,218,675,228,661,029,637,690,559,673,900,722,734,938,
348,363,095,285,567,569,365,090,732,394,292,636,110,197,898,172,365,821,499,
691,882,584,243,688,206,423,153,237,194,505,548,943,951,553,812,039,694,514,
234,859,369,278,758,925,842,062,622,704,104,019,658,393,714,033,279,173,093,
359,829,338,154,525,993,805,545,922,451,014,103,593,483,445,373,962,136,843,
427,737,056,921,721,004,533,556,802,490,368,215,836,787,893,519,851,666,564,
094,518,553,590,882,562,732,150,315,934,321,878,002,245,531,121,820,624,922,
762,256,867,729,949,226,206,889,451,653,890,571,856,304,191,871,359,538,101,
380,122,304,391,824,917,298,880,744,444,845,851,335,227,516,883,207,511,233,
702,133,155,741,609,428,522,688,617,167,730,661,659,222,522,916,888,910,019,
923,135,462,870,960,896,450,353,634,103,522,332,875,748,251,249,891,193,723,
251,485,945,473,907,285,016,880,976,337,246,874,591,966,796,509,040,588,184,
377,285,471,367,316,307,043,460,878,289,137,820,310,634,079,454,075,501,053,
845,594,671,491,515,570,635,742,439,124,898,834,461,563,658,347,270,730,123,
696,613,271,770,993,386,110,148,465,189,679,644,812,754,410,586,348,050,263,
897,088,288,944,201,154,520,572,482,759,133,755,422,351,930,162,823,510,738,
934,415,904,938,827,080,896,341,380,470,783,380,262,993,948,496,457,990,628,
788,476,370,458,725,893,098,922,257,440,119,016,120,310,080,540,876,922,829,
169,270,870,987,775,165,261,950,839,243,400,849,932,137,794,966,241,957,795,
654,815,226,158,375,459,784,240,985,539,380,439,337,295,702,436,396,437,603,
519,561,235,302,876,607,622,538,089,220,819,545,069,258,804,915,878,570,038,
903,232,669,739,816,830,403,252,115,703,202,572,794,638,519,059,201,445,833,
399,487,604,397,301,861,831,393,070,621,191,768,169,906,624,117,252,124,739,
296,611,611,611,557,615,220,504,469,753,653,043,845,722,167,898,615,796,113,
695,188,399,598,185,995,104,684,851,456,845,012,294,413,122,605,436,530,536,
123,018,579,819,114,149,406,427,494,790,967,347,468,764,843,443,164,971,329,
611,703,253,140,189,463,097,248,471,356,394,823,359,170,490,498,469,124,168,
495,086,800,588,878,925,920,398,560,282,576,758,916,390,701,660,578,745,497,
429,441,094,386,355,730,559,911,908,117,675,765,093,507,964,957,369,267,746,
936,468,885,579,508,647,441,017,094,546,943,234,982,997,690,078,676,204,597,
571,833,441,377,848,877,425,641,607,643,215,310,133,971,735,593,081,982,761,
942,881,668,562,037,379,693,924,430,144,061,268,323,397,104,724,100,592,702,
348,469,694,822,119,812,807,532,999,790,187,144,010,814,149,814,611,915,491,
499,693,198,047,093,529,158,797,637,116,176,054,139,762,923,588,285,005,585,
189,507,336,869,094,729,535,770,233,241,560,065,296,942,764,960,327,166,040,
208,141,349,153,403,588,961,575,679,433,484,925,254,386,325,953,434,479,839,
320,050,608,639,227,011,846,788,399,426,427,704,905,538,797,921,750,837,819,
301,761,042,877,154,833,140,919,068,925,013,386,039,110,690,321,275,961,074,
454,614,874,182,280,797,622,470,570,282,546,734,938,128,050,122,612,437,219,
486,554,096,195,594,216,522,214,732,920,204,883,913,885,106,254,735,486,056,
898,503,942,548,458,729,736,982,693,659,625,142,634,411,030,163,820,899,819,
570,786,816,311,936,968,906,823,794,231,721,903,931,201,590,319,269,440,816,
554,848,418,122,531,044,530,561,359,331,191,610,500,627,568,797,269,387,135,
321,484,674,824,795,448,366,077,818,253,859,065,011,707,414,609,278,661,168,
951,962,500,677,214,290,010,717,261,537,389,022,322,705,074,174,078,295,290,
091,750,757,058,820,189,057,081,972,694,696,846,080,182,668,638,777,153,090,
934,146,896,370,440,906,891,624,364,912,527,193,062,752,551,365,029,648,732,
503,289,686,296,093,244,252,309,850,503,672,708,629,582,290,867,019,984,661,
695,546,892,776,658,850,541,133,621,955,402,406,884,874,339,409,954,435,400,
153,647,652,969,727,434,472,215,892,442,998,688,151,567,058,924,188,925,172,
694,476,019,142,823,154,361,120,036,592,595,742,789,522,621,055,742,800,821,
955,634,116,030,422,781,205,965,507,632,430,360,003,233,392,617,640,396,971,
405,069,807,719,518,255,255,305,969,666,232,156,783,584,194,220,180,447,885,
985,677,254,863,521,032,493,457,791,201,994,380,500,175,565,536,759,772,197,
044,993,785,408,393,419,178,107,772,296,962,862,001,211,111,250,150,932,487,
608,253,773,537,796,619,836,289,196,358,316,911,681,323,433,015,087,894,551,
111,355,606,155,733,779,846,648,607,305,852,889,119,881,285,037,235,112,683,
562,381,350,078,066,216,025,148,290,573,357,105,283,233,798,581,537,218,311,
904,232,707,415,016,900,038,391,195,398,067,816,368,241,333,824,770,805,092,
526,135,413,434,335,633,864,581,199,970,381,086,365,455,244,635,439,097,873,
065,866,319,459,161,253,655,338,526,819,423,921,926,235,198,671,950,669,338,
976,186,556,297,564,184,839,987,720,614,039,859,126,786,475,177,910,021,117,
493,315,270,202,929,896,295,007,165,063,438,146,753,957,912,440,367,369,580,
774,450,695,480,134,751,554,603,582,408,539,107,783,103,828,040,650,809,625,
890,183,700,859,771,562,573,880,816,874,332,499,843,215,996,514,093,181,598,
401,240,813,369,254,619,535,454,962,150,128,036,062,360,846,915,755,100,402,
776,662,819,396,347,678,918,331,241,148,822,543,997,822,968,610,698,065,136,
068,911,090,102,171,180,853,715,010,697,271,305,736,146,986,867,563,859,054,
967,695,439,173,575,061,446,221,167,361,585,668,590,530,510,190,653,252,902,
553,730,654,999,393,562,288,526,381,970,526,011,827,870,343,141,397,199,636,
792,908,257,182,141,428,640,529,157,021,222,889,674,848,968,079,096,668,109,
879,659,945,053,274,019,185,195,349,138,867,145,337,482,372,657,311,182,632,
982,450,961,932,017,129,471,874,528,320,390,288,100,881,253,680,893,037,925,
799,362,870,754,705,526,040,480,164,137,747,076,894,231,174,260,278,260,770,
336,220,299,332,469,069,665,594,249,985,356,574,099,364,886,778,539,942,254,
234,428,393,866,780,044,499,380,742,544,659,578,906,615,496,818,073,801,163,
879,369,422,944,114,290,695,588,210,738,461,990,802,764,271,596,797,449,945,
031,095,095,718,045,665,261,084,142,848,732,181,573,543,287,111,705,228,536,
229,789,396,646,800,257,702,853,940,705,067,396,427,919,218,673,564,110,294,
160,106,579,328,619,743,405,556,790,526,085,363,379,426,308,031,387,637,894,
900,853,440,316,201,737,137,641,777,086,530,758,298,263,108,158,008,070,462,
050,701,209,806,935,397,473,117,580,682,375,995,896,083,363,393,221,810,060,
807,180,249,038,352,661,568,224,977,608,771,183,980,835,553,453,872,024,604,
240,710,371,660,548,573,414,827,021,760,211,451,383,698,029,081,624,933,762,
983,484,403,625,795,994,538,199,138,301,596,721,777,104,685,816,036,339,044,
384,777,879,532,607,266,855,184,820,485,508,944,356,337,862,035,772,383,862,
152,239,241,692,818,501,575,370,326,068,912,368,764,596,216,929,872,136,043,
636,571,524,092,287,292,274,128,815,626,437,622,671,987,080,970,224,599,784,
146,847,934,671,852,325,936,661,001,372,161,300,952,553,317,775,754,566,041,
762,281,311,582,058,584,964,830,053,352,718,892,814,764,513,332,702,470,619,
549,543,525,055,358,782,624,993,419,309,319,732,650,673,512,773,345,917,665,
963,585,872,411,390,627,409,496,277,410,246,551,510,205,178,776,056,825,381,
637,165,182,793,143,074,055,087,785,609,885,242,759,426,200,881,819,340,329,
089,383,852,971,376,128,437,877,797,307,493,311,356,016,187,319,151,799,422,
044,376,403,588,213,606,962,574,585,566,368,090,395,017,222,787,061,974,951,
967,014,424,302,859,313,545,403,007,678,379,099,204,221,308,796,105,896,930,
846,967,751,228,863,185,032,606,782,328,402,440,721,182,157,508,211,538,335,
360,794,695,704,613,174,718,611,526,863,310,358,587,546,256,036,689,606,667,
886,434,830,513,321,889,210,215,491,330,154,066,573,219,905,258,153,120,482,
270,468,393,908,362,559,792,003,752,008,130,573,712,222,381,091,448,510,138,
555,194,275,185,124,830,700,549,461,093,277,448,003,940,580,616,855,288,045,
852,360,129,486,906,025,646,405,589,269,708,513,354,116,834,172,616,849,846,
505,633,278,872,648,556,321,278,489,345,954,996,658,581,251,130,789,780,962,
340,772,781,697,949,879,802,791,701,559,810,191,268,067,539,723,407,054,002,
551,797,385,103,017,900,389,868,041,163,233,700,450,649,411,512,646,984,417,
362,046,619,892,351,586,108,959,958,955,552,247,980,416,127,434,970,975,543,
534,676,425,277,797,898,907,748,330,252,414,148,107,838,137,266,550,176,838,
597,373,925,338,737,914,128,608,285,105,941,773,626,016,259,647,083,247,528,
889,559,509,836,041,279,448,575,001,778,330,725,886,062,646,483,692,074,888,
421,111,393,758,658,780,485,947,408,682,652,028,262,452,858,985,170,636,376,
958,510,917,601,544,882,745,707,314,297,287,295,085,931,869,541,223,742,449,
135,310,050,994,906,034,434,696,991,513,746,187,930,319,415,735,322,752,242,
267,857,460,558,019,288,055,415,905,543,476,093,194,195,720,405,774,422,500,
249,825,043,584,946,018,852,006,119,967,033,048,866,895,652,735,904,271,162,
636,663,525,282,041,192,369,779,389,946,919,831,230,621,162,329,580,970,183,
777,636,174,761,201,540,957,618,277,814,442,115,592,487,274,652,241,503,363,
596,170,114,375,006,539,051,562,483,036,194,355,606,345,531,265,311,966,431,
402,916,452,812,459,986,137,837,157,264,683,790,824,415,699,244,300,789,201,
191,661,998,174,291,739,577,434,386,544,355,415,887,036,387,680,093,189,287,
315,127,572,947,834,660,983,213,724,505,434,059,018,272,732,582,151,821,250,
693,992,351,989,018,209,064,987,702,075,629,086,747,464,649,096,980,617,406,
724,201,295,649,732,847,406,239,708,959,515,283,684,537,690,711,983,983,723,
173,958,658,049,000,302,251,599,516,418,568,887,061,132,780,855,445,367,340,
860,446,836,926,436,034,769,244,746,338,723,427,412,758,960,328,512,255,809,
293,537,857,220,635,379,797,645,450,915,603,018,688,115,782,477,691,666,983,
063,581,382,630,399,502,691,081,545,399,682,549,244,077,696,883,997,497,425,
863,732,725,799,998,390,532,205,393,874,655,119,204,163,305,636,074,177,370,
626,844,652,781,336,695,392,231,417,672,726,799,248,446,752,501,319,724,332,
803,497,172,850,605,121,750,290,658,387,492,358,235,412,904,091,994,488,015,
755,233,525,203,854,304,110,620,124,725,197,022,410,063,081,262,538,646,774,
498,348,679,127,144,003,039,690,502,034,576,987,708,168,096,018,903,475,989,
288,752,732,328,391,075,541,627,518,978,661,536,857,303,456,651,516,588,583,
902,476,627,095,663,252,482,653,965,919,597,346,591,841,312,504,632,524,323,
397,477,616,337,385,110,249,726,198,714,763,848,619,282,262,249,990,359,768,
998,713,317,803,493,107,637,115,432,380,114,425,563,557,633,883,789,483,285,
379,931,749,097,689,035,245,559,993,674,586,025,948,657,498,322,954,185,702,
452,594,404,420,484,438,792,102,126,137,910,858,558,391,892,670,044,858,640,
818,060,526,112,117,385,656,901,201,977,757,005,258,627,185,401,596,542,340,
667,445,729,631,270,141,831,504,633,104,729,085,304,870,371,041,538,205,043,
890,329,197,393,379,384,010,815,832,827,685,781,574,895,226,787,779,015,967,
678,439,746,357,521,212,032,078,063,094,298,637,913,788,280,419,712,157,666,
100,112,574,524,426,584,425,744,994,014,049,688,097,175,533,900,447,856,298,
825,805,158,321,833,311,074,346,370,723,828,707,764,125,313,965,414,967,258,
236,105,459,284,368,792,137,974,957,845,239,462,992,815,718,928,586,203,191,
078,595,085,804,566,976,194,446,765,501,852,352,457,334,328,307,062,448,023,
712,713,776,609,088,258,064,601,930,115,912,513,179,154,179,068,817,867,272,
046,953,526,638,890,447,807,524,546,878,003,789,406,301,806,409,266,197,172,
854,208,902,068,981,656,319,138,710,850,826,387,523,064,787,875,848,725,758,
365,776,371,142,035,327,777,027,958,799,744,099,050,379,005,767,898,148,997,
689,260,850,206,473,310,086,402,232,494,446,375,378,345,421,982,218,835,672,
416,908,454,530,076,023,174,192,720,313,057,640,084,008,363,147,920,666,549,
801,800,613,668,910,115,152,118,270,966,142,847,961,963,264,947,548,065,291,
070,478,596,413,905,655,568,070,646,150,464,068,241,487,807,488,764,424,990,
832,376,139,457,948,614,024,718,761,178,624,445,228,242,223,891,766,247,229,
850,609,928,421,148,337,545,731,677,823,120,294,882,615,723,028,847,177,046,
730,921,866,901,837,235,969,447,725,773,117,974,972,897,500,410,694,318,612,
996,274,845,668,067,634,306,072,854,815,591,781,939,403,619,559,384,755,488,
726,739,071,109,993,588,418,023,590,950,410,273,593,098,527,191,234,003,884,
409,105,907,504,776,337,322,701,775,861,852,875,713,040,986,769,189,833,691,
309,165,038,894,404,093,981,389,238,901,810,897,987,025,392,557,356,621,590,
495,960,731,375,850,650,474,122,632,317,988,725,171,638,761,213,363,207,328,
752,136,774,542,353,839,679,578,026,065,076,436,331,651,215,286,085,852,134,
307,748,090,607,881,704,190,223,254,027,169,141,303,738,896,814,145,631,856,
360,017,018,408,284,007,581,308,806,670,449,571,344,298,519,442,462,239,364,
874,283,626,332,548,245,772,857,276,508,817,200,349,015,108,028,423,657,955,
739,568,906,573,752,243,601,730,058,350,447,302,664,461,668,597,728,265,057,
567,125,579,603,602,341,709,265,240,592,956,860,998,643,520,730,925,103,474,
185,280,876,668,789,363,292,016,644,975,255,742,485,601,765,326,887,241,111,
297,134,831,769,492,176,623,701,550,969,374,200,837,889,073,987,272,638,973,
445,134,362,427,113,360,677,633,351,851,888,593,653,590,473,876,303,700,832,
328,918,387,119,351,578,765,232,411,605,440,802,624,158,959,560,884,698,247,
972,629,199,271,889,892,898,808,812,693,793,428,571,431,641,463,671,983,204,
198,564,202,590,130,599,868,856,489,087,046,340,246,927,778,250,627,288,221,
807,432,085,385,463,419,286,626,009,552,985,868,855,622,377,585,492,904,042,
408,058,211,819,921,949,454,186,142,520,643,079,561,471,071,308,997,515,247,
400,844,339,732,062,599,216,618,824,165,508,495,352,423,902,394,272,785,585,
307,318,603,857,699,094,312,045,341,321,459,476,504,571,723,030,700,646,184,
163,393,348,677,020,004,915,010,855,218,730,721,487,356,394,821,053,493,443,
825,956,670,423,482,622,979,249,967,585,735,840,902,417,041,594,381,476,889,
185,620,702,144,536,220,775,664,247,907,056,212,643,923,926,377,892,792,091,
550,178,494,934,889,946,993,457,288,956,533,438,225,438,191,552,285,199,192,
740,939,517,940,107,780,259,449,391,580,156,126,224,222,523,164,773,659,577,
213,582,935,785,443,959,570,999,230,571,663,364,740,309,290,231,849,026,657,
052,026,756,108,943,871,596,850,709,437,275,788,913,134,858,100,613,416,798,
619,226,337,705,594,179,232,566,746,291,594,305,284,779,317,914,082,898,944,
311,244,630,418,794,864,181,405,783,632,906,401,611,077,655,855,439,045,601,
479,670,498,020,556,495,671,452,338,976,770,252,394,155,378,524,271,983,721,
088,113,070,042,341,744,304,474,256,696,313,575,745,745,852,300,625,869,655,
530,042,775,172,985,820,195,812,135,147,245,462,473,914,678,419,907,892,834,
831,489,531,324,840,909,083,825,375,988,804,638,793,053,046,018,766,044,027,
301,470,634,262,512,312,759,018,348,682,584,076,099,227,116,065,852,511,160,
677,690,304,154,863,071,625,538,329,107,799,412,958,029,705,409,049,347,468,
311,627,918,890,052,277,309,896,617,148,632,321,698,919,053,474,371,331,551,
075,774,873,582,625,059,989,449,411,564,987,143,727,885,767,032,336,297,718,
787,528,866,012,759,704,591,930,442,576,152,793,186,561,354,705,523,296,146,
591,555,538,214,822,458,469,814,008,794,109,540,408,229,742,918,303,156,293,
462,826,612,117,438,502,159,810,086,669,325,075,217,035,361,006,882,977,184,
047,440,963,613,461,026,713,843,179,065,217,866,850,642,010,250,494,497,024,
755,854,989,590,009,757,684,154,469,699,253,415,584,949,149,317,693,145,751,
525,868,664,346,817,466,810,616,715,257,418,901,771,300,686,840,256,861,234,
173,273,209,919,480,533,918,562,051,940,057,483,298,627,316,488,307,838,380,
666,127,858,999,109,272,458,585,995,030,758,942,343,436,756,772,387,127,368,
656,588,225,436,521,730,301,865,188,471,587,343,439,767,392,394,118,149,677,
452,951,007,526,533,804,026,837,932,239,097,561,090,424,053,948,431,138,384,
096,402,910,462,363,175,012,302,075,938,313,025,887,561,938,002,340,055,411,
333,216,557,420,925,404,861,403,330,036,590,384,291,113,183,920,628,392,923,
640,199,550,350,256,861,555,759,768,147,217,772,313,058,601,893,899,524,352,
367,061,325,172,677,498,057,582,388,965,125,628,158,607,917,461,817,596,335,
050,910,834,222,313,366,825,167,743,001,281,454,874,619,302,877,746,036,642,
561,849,718,118,080,635,299,176,638,102,376,111,932,157,814,367,996,411,451,
167,619,559,541,095,795,322,201,329,516,639,357,534,831,687,738,367,340,254,
851,510,378,055,367,027,661,324,801,954,027,227,263,176,487,028,956,299,685,
469,228,639,824,402,857,268,283,219,591,706,190,622,381,421,973,148,008,502,
307,043,117,689,794,401,876,471,815,505,564,540,339,550,824,558,623,316,273,
316,278,558,814,556,000,776,358,656,351,322,051,250,495,038,663,568,097,129,
956,737,851,476,299,759,275,465,923,303,046,247,961,626,361,943,112,897,056,
100,337,048,174,181,982,202,867,865,736,027,905,287,325,962,734,392,490,671,
998,612,493,034,029,873,498,780,551,999,305,817,820,564,149,396,026,388,685,
460,169,381,341,220,541,339,393,428,193,449,690,027,316,376,449,879,695,837,
736,866,889,008,180,330,748,171,102,115,760,273,555,998,463,986,450,954,415,
434,227,053,869,053,254,278,935,023,743,166,913,182,916,123,951,037,417,160,
579,451,956,477,129,123,107,222,521,505,804,247,074,075,443,418,271,010,384,
501,030,249,197,701,572,855,651,891,606,427,134,123,829,632,596,143,512,053,
308,108,926,415,045,020,119,940,604,426,590,245,826,821,873,162,459,524,402,
747,320,525,360,869,041,019,455,765,998,909,285,065,094,348,372,176,998,290,
743,073,656,807,349,759,466,397,308,797,559,138,561,430,602,603,175,158,008,
624,936,838,241,193,677,281,266,724,071,337,612,416,118,792,575,213,018,699,
028,951,995,134,835,277,764,611,051,264,170,253,583,477,269,512,205,078,058,
363,638,611,743,311,145,854,500,416,283,274,599,155,633,220,018,528,679,392,
017,509,275,409,958,133,179,137,946,438,616,787,417,459,030,105,957,267,726,
591,356,859,118,371,999,254,997,977,762,100,737,114,427,861,709,687,953,715,
696,046,026,436,499,932,494,853,999,434,585,286,967,958,662,417,457,641,794,
805,448,871,513,581,889,824,430,824,626,424,354,191,676,618,884,711,687,642,
635,258,639,022,990,667,487,403,584,457,119,508,268,527,817,344,102,844,669,
254,097,278,395,906,391,875,739,287,862,878,707,520,145,185,942,814,049,593,
163,540,885,960,331,968,854,747,423,680,186,814,498,094,295,414,950,349,764,
245,915,426,076,889,064,737,366,811,307,810,005,561,939,469,759,263,247,218,
234,796,884,694,012,317,553,311,188,289,847,404,074,753,330,049,804,208,850,
646,366,586,108,099,394,565,416,148,530,309,567,469,109,744,892,087,466,547,
362,733,226,986,849,556,980,354,631,518,936,969,343,705,535,800,581,952,617,
175,893,009,882,882,321,040,542,523,607,291,713,053,492,663,229,060,474,569,
542,424,339,508,139,982,677,962,778,488,309,997,965,128,063,220,777,518,573,
836,396,096,648,476,586,065,195,324,270,691,605,053,045,663,860,838,314,953,
683,021,048,008,588,976,182,253,488,551,404,212,808,914,493,137,532,858,396,
184,303,236,335,886,946,892,182,275,994,468,253,174,660,158,691,213,815,159,
318,299,371,808,214,620,413,119,329,691,456,508,484,764,027,719,299,674,507,
325,942,331,943,515,504,186,360,987,248,120,912,202,373,339,335,073,460,759,
232,179,586,876,629,559,340,743,261,094,141,740,763,801,583,571,151,333,576,
110,686,990,943,664,495,863,310,346,598,293,388,229,827,185,787,525,090,569,
104,783,237,394,176,053,528,745,420,852,600,403,464,659,402,414,241,262,554,
232,352,140,064,162,704,730,846,227,706,383,401,639,833,636,444,690,676,724,
165,128,458,994,312,791,395,879,122,956,320,136,546,315,513,595,389,941,803,
018,363,584,706,502,867,318,774,878,953,315,458,197,434,636,040,704,748,107,
164,767,645,491,389,842,200,438,859,839,625,930,235,859,838,790,135,381,171,
477,375,779,926,646,821,866,261,740,093,564,179,203,640,975,801,092,825,644,
892,586,609,695,431,235,493,994,457,170,813,692,902,448,627,945,623,440,090,
248,458,200,664,417,022,916,245,242,156,717,253,159,104,092,817,299,882,863,
461,189,034,680,642,725,785,165,050,907,628,631,162,976,054,028,275,679,573,
412,072,658,037,944,973,495,414,954,825,866,490,017,150,947,473,800,526,162,
441,419,071,278,662,758,248,855,881,511,982,234,509,414,007,553,774,482,298,
864,238,439,006,084,024,459,188,003,895,680,255,767,117,201,382,032,507,769,
578,540,188,329,088,874,845,134,936,508,596,422,375,988,007,036,006,077,574,
492,080,487,551,406,614,292,051,976,710,947,163,882,005,939,102,122,206,287,
374,047,363,601,080,019,969,544,936,022,400,316,385,759,143,310,679,670,050,
104,205,090,745,988,235,403,937,639,160,542,904,805,904,152,693,933,171,449,
235,614,152,590,557,637,565,029,249,492,863,582,510,939,518,105,409,994,161,
325,599,178,340,028,421,246,403,105,520,814,562,005,883,150,546,913,974,405,
118,678,662,028,999,857,511,793,671,446,901,793,972,170,312,439,433,658,386,
923,162,713,385,216,184,073,103,022,962,006,757,138,568,003,948,742,237,387,
020,542,925,115,527,766,852,851,847,263,836,445,057,376,521,717,635,390,497,
491,897,235,797,069,401,506,542,721,724,026,565,191,292,049,791,812,300,235,
933,628,031,158,821,403,150,002,919,254,161,517,052,761,923,431,060,847,187,
727,698,295,166,084,970,806,377,785,890,585,869,842,567,104,303,516,713,535,
101,124,905,770,383,463,319,752,937,745,879,218,879,037,467,281,612,860,983,
906,639,609,064,721,916,155,112,758,863,156,498,809,120,984,506,436,586,997,
638,201,464,276,324,683,229,482,576,623,533,624,305,960,888,721,820,005,676,
983,258,423,671,046,074,453,915,066,505,622,848,280,756,407,904,400,850,427,
140,632,627,991,691,728,457,617,852,104,620,781,132,534,597,957,195,989,477,
368,594,655,373,523,715,434,898,925,229,288,997,877,807,179,286,659,099,868,
112,246,594,066,974,985,108,326,656,290,076,078,891,306,444,489,678,161,598,
990,982,359,659,664,796,756,681,035,603,099,008,580,431,380,516,336,692,084,
687,249,451,297,623,856,912,675,659,799,537,923,449,381,031,786,417,966,491,
921,034,889,273,910,392,179,715,904,906,850,465,327,296,436,230,324,247,917,
161,357,990,918,741,201,401,697,670,420,736,357,048,754,822,552,720,168,895,
464,213,300,933,268,797,435,682,419,503,024,049,385,290,209,616,917,184,886,
251,139,870,980,667,740,112,604,547,124,054,635,235,000,675,423,271,318,656,
945,350,727,332,215,579,510,716,924,062,932,393,939,129,481,252,747,916,276,
632,312,423,785,650,976,071,447,558,418,123,958,754,425,409,822,537,002,774,
647,979,681,125,643,845,489,488,481,971,465,143,947,600,527,459,154,694,619,
793,079,105,102,385,975,668,445,165,270,727,255,346,913,441,690,855,392,704,
371,433,991,693,418,174,072,156,664,228,553,786,412,512,182,062,297,063,236,
813,954,062,659,256,204,735,219,123,864,353,751,177,973,087,459,102,838,502,
435,098,458,030,182,471,741,175,607,575,700,260,823,958,835,867,573,448,557,
616,867,419,448,672,642,210,868,905,577,716,893,376,313,575,685,964,880,141,
832,427,397,204,185,977,730,992,945,659,642,041,266,140,363,427,802,539,423,
230,004,919,828,211,878,258,013,920,032,912,553,592,210,935,789,296,006,777,
395,899,816,181,686,925,055,395,833,166,465,004,401,198,456,861,021,266,844,
629,175,315,718,250,272,420,145,147,015,014,494,431,733,953,336,259,792,991,
492,220,334,183,416,184,638,810,338,233,961,103,984,372,990,753,163,254,723,
653,790,879,025,340,073,074,519,903,806,550,326,662,142,915,838,100,971,052,
196,046,290,972,830,919,156,755,681,305,619,874,240,937,544,656,312,439,010,
034,642,931,714,940,483,490,371,665,105,644,174,694,432,702,674,505,211,345,
230,261,877,839,123,781,822,897,795,558,478,263,326,575,288,054,130,194,058,
145,269,512,283,399,911,714,633,056,282,290,660,619,127,991,999,384,805,757,
871,871,941,779,877,177,298,499,761,194,902,025,411,298,646,401,889,318,700,
924,803,298,821,179,232,980,810,519,133,550,797,724,810,457,943,564,452,766,
992,666,989,702,045,963,720,426,873,456,900,555,429,104,105,062,373,633,007,
263,505,338,518,252,523,955,971,233,760,793,505,896,671,363,860,000,494,881,
358,497,174,928,462,882,071,327,029,448,604,934,653,909,821,656,732,274,683,
946,013,453,672,270,227,686,185,954,575,366,185,938,502,087,978,475,109,038,
170,675,859,192,947,748,461,017,542,056,556,397,045,581,364,327,484,493,199,
830,107,316,197,470,361,961,683,997,998,543,933,988,991,063,988,677,693,109,
213,087,528,513,792,286,377,290,984,182,647,617,444,016,175,675,672,043,516,
830,242,168,729,094,873,126,496,685,533,958,943,827,607,835,185,503,209,808,
869,376,104,123,455,495,296,503,226,179,656,332,312,924,773,166,633,233,731,
302,518,724,362,874,014,977,483,245,715,781,779,030,560,270,636,659,533,078,
628,190,714,865,049,636,834,347,319,531,971,257,987,332,169,729,435,427,393,
948,520,839,487,796,616,252,540,424,705,799,649,288,492,320,808,385,218,139,
350,366,139,983,608,898,454,904,192,663,318,477,375,535,944,730,315,375,507,
997,875,430,234,765,756,904,721,777,891,899,771,862,798,896,783,625,643,477,
774,382,992,589,667,646,895,739,562,147,869,229,826,724,079,627,915,787,184,
680,190,236,416,717,611,628,800,793,058,123,458,358,246,588,227,373,822,659,
937,600,350,243,600,342,862,056,147,540,999,071,828,343,162,722,549,074,353,
163,762,084,814,539,111,285,693,831,032,156,198,786,745,925,706,988,066,408,
500,329,114,120,486,524,453,270,135,025,509,585,086,514,789,463,412,059,867,
218,266,800,169,300,154,509,387,659,349,211,429,654,410,075,588,368,734,791,
591,593,424,831,401,346,345,869,823,647,046,929,419,142,462,296,455,267,900,
905,980,973,394,071,949,396,407,167,688,242,040,786,386,235,299,173,411,917,
958,436,256,949,512,381,978,371,346,386,101,620,951,729,462,577,603,471,844,
203,854,023,027,784,827,769,473,157,938,261,819,456,978,876,979,605,792,429,
060,377,778,848,988,768,701,008,090,417,127,107,632,744,460,983,014,816,452,
417,556,689,693,009,400,179,130,090,016,515,456,140,114,585,272,987,252,540,
579,916,219,073,112,071,159,563,999,715,362,917,438,827,822,888,968,828,826,
650,316,150,296,739,262,018,839,245,630,420,274,322,969,053,378,615,709,613,
463,753,341,717,785,630,098,700,053,000,752,983,865,691,394,213,582,663,264,
095,342,096,285,531,066,129,606,465,807,180,455,187,971,808,312,984,707,362,
020,652,802,959,689,125,599,424,676,708,821,262,279,603,383,990,511,048,619,
831,811,821,593,814,161,634,319,638,418,131,621,085,351,245,914,009,927,778,
612,565,672,025,333,591,548,605,314,103,344,148,464,994,595,525,949,928,571,
923,761,577,271,316,377,467,879,034,028,947,541,329,924,040,479,115,459,489,
527,332,391,517,029,954,542,297,031,842,343,225,070,421,652,766,247,774,601,
552,267,986,037,620,678,761,700,222,122,037,675,506,818,174,871,039,874,251,
654,839,698,765,624,468,979,605,522,824,416,051,411,062,804,120,094,844,217,
509,443,631,152,496,563,390,879,459,176,753,608,332,720,068,606,176,033,567,
577,671,290,541,004,483,025,821,463,301,006,342,454,199,417,253,943,721,043,
032,642,641,443,229,368,972,422,304,715,104,187,777,770,679,419,723,733,173,
160,663,045,549,052,537,782,518,321,555,720,472,273,293,127,219,707,623,155,
306,662,995,304,189,944,739,697,026,449,021,617,585,007,276,121,152,166,179,
861,972,280,686,340,983,174,330,401,933,671,857,353,565,962,608,633,626,396,
934,192,987,694,236,682,805,260,053,485,689,746,350,161,308,323,841,454,885,
170,004,872,905,956,736,115,226,026,708,961,740,963,352,136,699,404,790,220,
068,898,664,744,597,923,332,289,011,934,937,210,298,329,122,443,011,409,295,
459,395,150,679,784,557,058,343,082,981,384,712,718,057,274,035,769,786,694,
944,795,234,304,606,249,245,566,845,089,829,087,922,518,054,681,114,038,027,
024,449,448,120,515,650,649,661,628,927,132,706,503,809,043,598,968,522,649,
924,548,022,954,168,894,763,236,833,655,110,428,052,509,580,905,118,074,906,
538,022,444,900,821,086,121,453,878,012,436,618,126,160,427,741,325,574,468,
474,491,721,558,424,004,253,375,494,706,575,436,069,862,635,661,188,852,862,
845,554,139,659,955,961,505,386,093,525,425,853,758,804,587,041,468,288,283,
012,166,288,586,605,353,913,108,267,867,658,901,874,909,670,050,965,156,831,
991,864,753,927,925,175,900,960,431,588,458,277,507,006,600,467,736,054,037,
018,685,147,399,540,170,151,839,295,230,572,345,967,630,444,641,916,174,635,
153,264,440,098,075,541,421,941,513,553,865,853,625,734,005,220,748,713,663,
583,206,212,909,366,116,999,792,871,729,832,721,253,338,537,296,597,790,709,
320,024,118,702,512,721,469,513,401,454,368,309,259,431,132,902,270,226,454,
615,198,084,036,117,926,215,696,726,584,333,476,511,556,403,713,131,510,171,
986,720,353,627,602,210,970,795,946,395,972,185,938,519,858,853,051,140,498,
105,376,404,993,101,069,657,135,606,867,377,370,539,346,596,208,017,282,811,
400,629,764,473,587,316,800,573,491,704,358,896,797,728,064,945,838,702,011,
357,886,231,988,310,461,209,600,701,535,877,173,510,391,008,743,568,903,844,
753,601,051,325,132,941,964,456,687,463,342,550,042,490,911,814,072,853,721,
744,993,643,149,258,339,187,013,957,541,340,097,474,814,986,611,240,902,329,
973,859,713,769,075,740,410,655,796,450,509,423,749,418,124,010,012,124,159,
906,834,892,129,150,251,067,899,814,563,606,917,632,743,202,245,647,726,791,
132,753,449,651,562,041,366,008,081,522,066,705,436,502,592,959,871,705,337,
269,064,000,748,009,247,691,441,517,281,022,985,595,475,207,785,525,641,748,
541,378,389,283,049,519,206,467,678,784,090,973,151,392,709,281,065,842,939,
959,705,545,668,855,400,346,712,508,209,868,056,628,080,945,669,524,685,178,
214,899,640,507,648,575,957,680,633,033,082,937,829,476,867,677,019,442,264,
340,606,662,749,077,378,377,088,394,741,795,214,371,762,288,617,753,151,350,
233,966,493,216,623,903,783,346,945,286,866,861,559,691,156,099,294,918,258,
376,050,338,774,769,113,903,928,956,756,080,832,345,267,342,643,442,238,266,
578,418,034,404,027,125,060,212,789,940,055,082,713,844,808,989,829,576,769,
391,945,777,293,740,618,865,525,340,479,664,408,107,380,750,541,142,446,334,
509,077,173,363,079,155,868,202,275,314,873,756,907,328,040,656,758,927,326,
321,737,170,377,093,651,995,080,286,700,294,837,642,245,156,954,646,446,601,
812,816,198,277,535,449,235,730,185,530,722,402,906,509,039,645,257,172,883,
054,794,079,435,547,748,893,668,559,874,452,684,227,726,596,420,239,661,321,
510,797,525,242,412,910,681,598,515,535,010,210,328,862,035,027,358,336,801,
607,711,402,634,157,765,589,898,974,336,151,721,654,493,009,220,826,337,217,
482,800,232,548,517,536,912,673,510,698,252,845,358,369,274,246,065,429,459,
920,083,357,137,792,111,627,699,817,882,670,843,702,244,925,995,176,917,121,
783,262,743,677,592,261,483,386,071,037,850,204,416,001,532,607,904,235,712,
856,117,451,147,409,115,407,663,573,510,683,323,754,261,085,994,859,477,525,
937,693,166,293,972,605,898,586,161,656,533,947,723,834,182,307,105,534,496,
540,323,045,989,227,020,812,649,835,814,592,305,214,262,650,859,393,883,918,
305,905,683,389,472,418,839,133,142,911,084,922,029,702,144,765,847,676,359,
821,142,445,562,534,151,157,509,102,224,689,202,716,275,006,986,806,119,502,
471,767,530,140,673,476,980,544,126,084,822,478,273,036,167,335,087,316,813,
500,270,579,352,372,790,047,761,537,655,041,618,094,805,070,826,837,031,515,
669,514,568,451,668,573,673,159,136,167,129,385,735,516,951,464,602,949,657,
219,886,806,728,279,309,533,143,964,686,086,017,344,428,855,973,631,586,801,
888,747,595,755,603,163,762,320,982,930,416,936,239,710,195,005,252,931,504,
378,052,471,611,495,040,437,069,263,494,865,056,458,704,237,819,296,715,565,
778,657,181,760,570,843,213,736,262,444,892,771,296,232,085,533,893,520,290,
865,992,561,726,436,388,347,403,271,150,505,544,773,866,221,155,998,138,418,
976,384,342,576,701,854,652,171,086,842,922,589,482,116,730,187,478,648,781,
921,162,617,034,064,018,989,608,850,026,094,218,935,668,673,718,338,074,641,
293,363,658,996,857,007,518,773,335,863,977,163,459,334,527,486,588,808,012,
707,934,103,948,602,372,881,367,151,414,831,443,471,875,555,709,846,354,457,
158,060,265,209,884,072,037,841,041,090,857,983,497,512,685,439,398,987,295,
848,647,108,358,047,520,620,387,070,199,313,797,934,375,018,525,200,497,844,
794,014,237,843,658,530,615,587,546,560,309,140,371,874,263,237,127,262,748,
364,776,968,884,281,869,453,012,463,600,212,311,642,945,415,900,996,970,631,
050,490,882,135,174,001,358,862,658,694,728,648,014,279,230,497,075,460,649,
455,372,358,967,695,413,171,182,521,184,139,483,700,646,576,572,989,740,684,
540,637,678,510,560,293,167,770,980,273,967,176,103,016,412,995,946,610,801,
506,627,733,920,654,583,074,210,935,075,318,837,706,555,254,239,649,358,618,
990,966,351,200,310,788,040,940,349,071,220,829,304,783,521,267,020,005,405,
443,373,597,907,248,176,257,765,251,436,151,342,197,710,590,031,346,947,647,
120,805,822,124,383,146,417,592,370,812,716,067,236,741,127,730,773,852,569,
202,475,549,315,287,551,869,747,720,518,347,008,616,569,198,965,557,265,533,
904,556,759,101,016,354,344,141,325,914,614,373,685,657,326,222,203,788,401,
627,067,312,668,351,331,623,526,171,590,623,608,360,260,205,777,400,452,376,
602,293,770,634,452,059,383,420,817,773,593,770,505,232,725,769,934,798,936,
163,841,634,942,155,379,643,943,070,606,884,133,698,356,625,146,226,386,570,
979,015,631,037,753,780,085,598,782,016,490,023,163,212,231,773,993,503,195,
451,100,949,883,655,447,833,864,103,417,733,179,311,209,628,711,227,508,778,
877,545,533,588,098,007,919,403,306,798,447,540,952,142,842,865,591,530,153,
087,175,401,123,515,250,924,424,028,266,692,118,098,346,314,990,754,073,397,
708,822,024,812,153,285,627,567,214,563,304,166,079,968,549,350,704,371,570,
992,153,863,286,255,358,078,207,984,617,153,720,834,447,937,819,806,080,084,
139,366,064,282,308,746,061,712,336,415,684,101,815,445,192,884,640,896,894,
584,312,626,833,890,309,435,774,785,209,095,032,020,124,333,885,592,004,636,
355,198,220,959,732,202,107,570,617,512,145,554,597,229,003,920,420,006,582,
287,639,336,578,137,483,100,470,758,324,117,408,133,444,274,964,486,508,579,
591,532,089,306,737,221,697,918,536,807,410,380,034,474,843,771,042,010,713,
178,193,896,460,381,035,433,390,318,788,567,272,821,898,245,082,360,451,979,
793,605,201,944,840,888,221,231,439,223,696,381,059,455,539,320,174,178,835,
004,463,480,740,150,882,825,610,733,134,210,052,282,870,107,021,455,963,646,
513,583,598,546,343,873,623,542,056,319,413,685,486,879,474,610,646,399,896,
509,649,387,703,156,457,454,053,469,443,306,205,062,836,407,282,394,946,055,
190,498,658,027,048,334,107,461,334,178,109,650,618,882,933,767,054,568,152,
563,356,546,526,485,479,680,507,415,037,863,905,844,250,748,516,645,623,997,
455,770,205,135,578,331,876,056,213,281,421,119,539,969,323,417,884,221,987,
460,200,474,626,412,712,845,499,971,295,455,633,723,311,701,387,674,591,943,
219,628,640,429,342,301,629,285,671,722,645,290,633,884,763,926,593,244,227,
114,652,740,318,581,243,020,874,301,646,176,147,510,867,052,904,250,078,450,
805,334,302,569,738,534,155,459,339,553,271,267,404,550,815,553,915,670,116,
586,464,477,517,501,455,918,536,482,654,829,646,587,653,615,822,357,973,599,
006,686,426,002,261,071,812,248,973,716,445,168,103,657,375,103,481,186,957,
467,715,780,137,065,429,448,585,784,408,911,506,379,654,266,059,854,432,366,
849,710,995,694,264,232,869,837,587,587,346,077,873,258,649,827,558,487,275,
379,839,264,661,594,233,381,195,662,204,124,702,915,167,453,635,673,661,132,
122,163,592,958,338,218,039,872,138,545,399,678,414,006,846,961,692,594,196,
784,030,837,834,073,115,717,624,564,854,633,164,265,894,903,052,574,435,369,
641,807,671,111,146,149,126,910,878,326,294,038,286,485,998,411,000,941,614,
187,312,139,543,646,112,542,871,655,312,979,048,369,346,546,211,362,215,470,
226,037,671,231,935,649,982,274,890,283,519,986,706,906,239,252,236,311,239,
290,392,148,985,414,772,084,564,362,702,118,095,595,953,362,571,259,865,737,
611,060,047,080,816,001,220,746,484,444,653,073,626,570,857,207,121,148,371,
378,294,440,903,070,244,847,761,199,042,970,612,490,135,119,271,000,643,361,
831,064,918,325,930,870,041,911,860,819,800,253,004,867,749,722,842,245,507,
111,287,663,550,402,650,387,164,947,057,509,413,231,513,712,574,680,998,619,
332,674,877,504,102,985,198,930,697,677,759,784,640,946,596,100,728,767,950,
546,414,056,915,816,070,164,777,421,142,160,450,325,977,741,803,326,493,121,
053,267,238,830,573,530,849,785,907,188,904,697,389,099,020,476,048,028,222,
807,474,448,392,775,588,922,889,646,122,207,067,573,473,829,987,152,834,397,
464,869,535,184,312,078,337,504,375,995,182,067,100,083,649,161,178,279,712,
237,824,187,793,872,560,211,366,696,797,488,354,408,498,407,338,071,361,827,
087,839,262,061,633,334,295,195,058,205,605,505,067,135,696,161,575,491,179,
426,330,507,141,057,445,024,209,031,671,341,433,371,144,278,191,943,176,591,
556,832,848,447,138,752,008,458,154,240,299,384,601,647,390,837,393,051,809,
196,456,796,178,663,364,205,158,442,792,805,065,628,238,813,494,580,968,966,
023,799,019,410,909,476,990,308,589,955,748,760,761,904,192,274,702,209,613,
453,331,165,096,047,984,405,973,448,504,913,223,536,788,811,542,329,927,925,
033,135,287,520,590,794,146,304,590,032,231,616,004,339,705,519,858,953,808,
191,175,987,963,722,423,727,423,047,825,000,116,755,718,200,164,699,455,161,
365,329,494,976,806,309,255,346,514,937,943,698,247,864,561,838,224,034,935,
383,995,425,065,928,809,896,501,675,959,137,152,941,870,145,512,707,565,191,
923,863,041,879,366,783,987,784,592,659,466,612,463,925,407,228,351,993,498,
216,206,098,387,415,167,281,872,708,501,798,389,168,154,255,626,761,609,556,
272,141,099,414,739,952,154,998,928,996,589,928,481,809,803,556,376,862,253,
700,454,532,619,429,380,214,979,721,506,056,155,274,350,495,479,640,746,487,
279,295,950,254,803,897,980,202,872,488,209,160,453,173,070,942,585,158,664,
800,719,968,449,499,998,344,977,994,372,152,126,576,992,097,418,720,116,422,
927,220,614,633,478,326,340,105,601,908,676,425,189,238,460,306,401,706,574,
337,700,358,352,938,654,774,771,552,507,986,024,731,701,388,286,161,562,787,
367,722,912,563,126,038,227,916,722,983,280,618,077,178,656,866,793,736,826,
693,151,639,279,752,970,755,373,337,298,345,246,592,496,595,474,013,760,107,
841,497,933,220,790,052,224,182,445,612,883,480,240,344,998,255,972,752,039,
594,724,192,191,040,826,208,379,051,334,054,691,487,664,552,019,138,017,820,
995,826,200,826,191,101,295,681,079,694,677,684,464,024,094,699,355,293,679,
597,228,680,168,389,648,717,204,917,941,263,187,364,180,771,736,355,194,192,
149,962,584,829,008,383,542,432,303,682,079,832,201,770,617,374,523,374,627,
870,699,621,389,469,599,739,520,519,184,802,265,145,902,029,149,858,322,118,
536,499,101,345,241,724,474,704,227,727,855,471,848,234,403,628,885,157,578,
824,512,107,874,409,145,350,135,739,572,750,559,629,659,462,907,459,897,265,
846,971,831,005,715,739,414,202,047,418,655,124,946,193,142,768,690,830,462,
997,043,803,600,295,119,645,313,090,006,577,403,648,971,823,723,708,565,634,
416,969,976,729,151,130,404,081,430,501,390,382,516,776,537,252,465,304,959,
150,997,349,906,462,451,520,811,051,333,806,705,836,369,062,135,142,989,376,
267,042,755,862,890,442,639,617,887,546,874,649,880,398,623,554,646,346,513,
893,419,403,034,606,549,795,356,847,381,600,970,275,573,224,227,746,886,681,
028,462,271,485,873,910,115,765,435,263,724,917,612,889,152,114,570,730,672,
681,618,087,247,135,072,974,048,944,354,934,065,862,392,587,348,969,606,918,
715,006,674,950,287,162,561,221,515,448,632,183,794,155,927,769,237,816,977,
810,630,232,151,163,522,626,666,748,960,119,995,120,981,428,539,907,484,609,
466,458,109,470,508,834,458,473,487,545,922,578,462,869,133,306,195,834,093,
496,993,549,556,805,494,139,845,049,361,940,311,325,250,634,045,038,783,092,
659,433,336,424,878,731,707,331,179,670,591,734,568,262,874,560,240,802,198,
661,855,280,019,858,342,277,341,050,916,795,144,172,879,689,490,179,085,006,
621,758,901,781,814,258,477,374,338,446,240,469,542,487,396,156,074,661,622,
415,813,363,950,837,759,938,004,943,555,157,314,434,543,809,472,790,646,177,
218,078,170,411,352,079,099,327,049,052,186,775,306,752,231,893,225,041,071,
922,194,017,422,569,865,618,766,961,308,769,083,908,962,988,264,994,450,866,
230,586,232,734,985,466,901,728,173,756,070,350,327,905,645,771,993,098,008,
938,318,437,802,653,181,420,853,300,745,113,344,814,557,744,742,859,869,508,
230,230,122,593,029,571,372,269,757,631,640,278,645,001,558,868,293,874,132,
799,576,342,417,547,477,202,021,961,300,319,102,397,581,666,239,693,749,745,
889,413,361,079,136,348,478,521,374,458,409,487,299,026,244,205,041,095,235,
233,498,281,511,920,852,377,316,656,193,584,646,964,936,351,452,041,297,269,
922,971,217,056,313,591,961,521,859,390,280,949,042,484,049,379,978,426,341,
346,748,498,420,668,243,163,869,590,937,435,305,390,011,301,032,317,871,658,
594,305,716,222,522,232,154,248,654,007,634,008,574,498,194,793,872,786,796,
185,786,520,262,231,680,949,636,306,312,192,621,232,712,813,594,755,577,238,
095,002,782,831,973,298,837,602,686,395,972,751,760,749,817,147,404,225,756,
216,705,402,989,108,497,822,001,498,826,831,334,011,151,901,164,094,017,256,
331,254,942,678,135,981,731,529,596,024,519,030,128,015,626,643,262,529,263,
320,362,234,693,330,661,866,128,685,484,105,169,324,779,276,959,450,880,635,
952,842,831,740,366,680,426,396,447,441,747,747,690,054,426,982,763,111,179,
732,549,970,078,571,135,781,342,448,388,135,305,661,064,902,975,115,815,750,
076,994,905,615,037,735,308,239,870,510,978,194,899,378,903,579,994,437,361,
509,301,932,817,982,981,428,524,389,331,117,163,416,539,401,456,388,478,661,
376,426,613,747,841,723,284,447,882,844,420,377,624,006,484,292,987,111,929,
429,989,278,201,466,189,103,841,454,981,334,271,782,299,731,158,277,458,832,
034,672,072,997,730,335,270,037,641,364,881,551,509,690,419,054,098,315,092,
467,712,124,527,450,103,409,333,666,024,558,521,364,804,244,503,001,400,344,
551,814,432,538,458,996,425,222,651,459,369,594,962,321,991,049,572,223,191,
901,555,268,202,065,461,466,807,912,278,850,746,375,098,299,808,374,295,371,
959,987,502,627,355,336,085,127,538,594,087,700,519,572,178,377,556,918,396,
082,289,637,972,232,589,937,526,073,491,949,577,320,884,404,590,337,846,911,
848,826,537,555,860,918,428,523,617,979,409,256,346,009,725,506,340,491,732,
650,061,333,376,124,483,920,884,415,936,237,728,876,697,544,059,640,278,042,
165,914,465,767,071,368,269,583,179,647,999,780,576,208,313,716,634,592,315,
073,189,622,394,238,364,348,612,648,820,654,165,957,659,462,057,500,924,566,
588,476,620,155,057,539,776,421,030,269,180,447,915,082,628,663,574,694,374,
275,078,337,518,740,276,384,854,795,646,338,453,566,492,060,021,939,648,371,
731,097,474,578,995,697,634,498,026,388,806,085,619,837,382,412,480,535,039,
185,718,183,550,561,831,746,821,088,975,184,782,029,509,799,240,562,897,196,
036,834,364,989,609,817,395,120,434,147,962,177,211,139,291,841,131,347,822,
671,887,905,599,736,292,346,100,086,915,036,790,675,120,095,821,851,513,735,
936,270,649,146,642,006,013,626,219,466,888,352,418,189,107,504,474,808,270,
445,577,454,714,055,797,326,156,140,118,634,891,472,284,502,808,663,124,975,
453,721,973,847,982,078,274,876,114,460,213,057,043,770,749,271,582,657,763,
338,468,721,279,351,438,574,523,759,702,166,239,237,137,998,849,078,531,374,
174,562,537,865,861,700,151,413,311,772,807,658,700,517,223,398,277,459,733,
971,388,100,284,130,714,314,492,883,198,900,694,872,554,887,086,523,945,539,
206,756,256,343,264,353,166,706,173,179,533,837,431,409,942,496,052,786,561,
745,538,405,214,860,961,242,857,847,970,197,583,186,177,690,423,269,841,896,
074,004,987,459,327,592,655,354,890,861,235,022,465,872,925,707,322,199,809,
960,832,391,914,749,011,997,313,664,498,463,110,191,158,120,111,914,693,036,
333,227,212,458,164,229,296,908,117,317,021,069,467,147,535,726,963,461,104,
547,917,317,372,803,723,496,090,266,560,633,144,311,889,099,099,345,496,203,
716,034,402,510,265,207,025,813,578,549,986,934,700,235,869,512,854,977,475,
602,902,343,402,131,400,498,784,149,607,203,035,770,822,875,111,412,673,749,
962,832,293,646,742,459,679,464,503,834,109,456,952,984,124,385,568,518,764,
657,056,246,838,439,515,475,777,600,764,921,172,960,592,849,591,342,876,490,
953,646,940,777,699,888,357,203,588,194,833,156,006,496,357,756,563,803,894,
547,841,573,380,439,346,641,594,967,524,052,847,093,191,043,615,150,883,147,
203,423,956,880,838,650,712,769,677,602,521,225,994,785,195,650,755,166,994,
885,945,960,398,121,576,755,467,717,866,766,453,917,992,369,748,337,834,360,
568,333,692,436,803,555,641,281,623,772,393,038,597,603,259,544,743,778,873,
706,591,311,313,085,031,975,147,716,362,971,777,992,425,767,254,130,957,635,
774,129,552,628,759,592,132,280,721,856,532,100,472,723,315,601,672,956,567,
820,757,564,119,580,782,378,738,456,171,873,987,119,799,220,398,135,384,607,
361,363,861,058,730,267,091,511,823,774,677,820,129,017,112,052,260,713,639,
031,456,419,785,933,488,993,891,984,155,617,635,826,821,348,603,775,354,247,
058,098,087,724,505,302,543,801,585,339,546,078,156,968,319,576,210,309,178,
803,291,835,662,376,598,399,467,740,979,956,506,436,599,543,288,382,107,493,
139,036,275,471,680,119,353,191,466,046,768,238,697,064,468,020,787,685,141,
388,969,023,701,567,024,224,293,103,365,078,615,206,678,876,882,753,839,724,
157,683,914,877,662,527,604,784,447,145,141,625,717,121,921,349,119,492,420,
225,999,441,008,000,775,739,919,683,232,424,431,298,800,546,012,304,567,309,
528,572,538,678,099,810,233,197,897,075,220,753,104,940,876,450,680,044,785,
686,205,265,987,979,847,005,479,737,536,642,529,051,610,383,581,592,266,966,
912,179,106,674,580,720,363,933,894,119,628,680,230,593,396,656,203,307,960,
534,400,767,396,776,631,939,159,094,051,201,511,186,575,923,455,096,462,398,
495,501,314,249,017,941,844,846,319,620,326,830,488,825,949,416,168,285,483,
551,894,368,443,607,532,323,242,052,959,219,123,711,777,204,494,779,276,714,
400,921,859,039,792,483,164,327,371,556,843,352,285,286,361,468,600,842,754,
874,282,163,518,821,130,176,207,481,893,069,155,536,189,563,099,920,516,151,
104,111,708,587,925,765,669,115,909,183,885,274,459,133,771,925,494,345,816,
209,111,131,420,382,230,635,150,440,358,459,407,880,616,756,783,829,522,972,
492,876,190,125,574,564,533,448,816,094,900,777,548,383,078,983,014,011,022,
412,453,146,427,896,433,332,072,457,884,515,033,287,953,576,106,937,322,641,
206,834,572,856,290,843,358,655,802,030,466,589,147,036,190,909,905,616,525,
656,127,937,127,328,484,101,583,558,249,242,679,967,144,200,619,816,835,597,
635,864,959,331,379,099,555,175,795,148,906,801,032,519,403,962,766,223,510,
370,596,422,802,129,815,056,707,237,557,247,084,000,726,343,438,158,787,983,
920,739,259,397,916,391,902,806,601,587,037,495,086,003,104,851,119,390,862,
414,029,423,921,392,003,352,355,294,653,925,015,738,897,522,907,294,631,582,
177,237,483,184,978,514,695,710,858,310,339,796,572,323,825,017,365,414,069,
686,907,527,584,619,114,062,747,724,174,585,550,607,631,961,540,413,545,524,
773,574,905,576,701,318,130,028,619,604,908,701,985,458,919,323,133,149,026,
775,918,161,250,758,357,250,960,411,809,022,244,349,696,809,561,892,851,659,
573,950,498,773,322,966,209,200,901,354,663,537,277,411,444,444,142,151,656,
547,323,123,877,602,464,532,112,211,798,237,652,968,594,271,377,688,953,368,
857,024,238,905,212,858,377,381,108,950,970,867,571,529,836,901,600,145,788,
113,254,691,873,359,800,341,333,623,749,056,066,797,637,468,455,799,137,510,
882,442,534,505,647,145,367,720,358,122,030,515,549,761,688,091,654,045,063,
938,223,341,816,186,031,437,799,205,366,065,518,648,054,275,918,438,409,381,
912,145,619,395,554,007,032,034,401,435,472,149,601,987,014,968,715,011,085,
859,016,632,419,391,886,202,713,665,797,674,214,533,804,083,779,271,514,281,
045,480,794,557,093,331,369,948,022,527,186,847,240,272,040,980,208,059,490,
310,719,864,384,955,156,807,893,107,043,725,803,035,715,993,736,873,283,074,
843,272,162,177,190,438,517,301,234,801,152,507,118,774,526,730,260,452,371,
846,531,857,561,925,133,187,235,320,528,776,495,895,410,614,588,830,761,125,
265,471,169,068,944,622,201,643,541,933,794,233,964,280,948,950,804,066,897,
181,006,810,087,075,458,695,805,555,692,500,128,885,419,916,479,173,104,818,
216,542,201,406,257,110,968,069,447,444,319,530,463,424,241,406,790,622,631,
739,508,468,633,900,859,327,089,755,851,991,568,656,339,525,728,002,981,984,
703,290,233,672,123,718,413,683,509,508,447,784,442,899,639,236,716,195,498,
811,335,098,841,917,797,174,224,648,892,096,400,949,096,845,031,610,508,882,
878,599,244,492,939,955,404,671,684,013,226,770,775,773,813,983,066,197,663,
350,337,381,041,135,107,210,590,607,079,720,699,652,001,824,556,271,329,399,
471,421,422,976,826,252,176,197,005,545,434,393,005,674,972,444,996,174,743,
716,791,887,435,897,924,962,194,977,242,980,465,019,492,351,046,377,206,763,
669,012,414,478,875,937,821,381,091,704,932,655,341,436,509,231,970,914,238,
948,435,408,257,370,396,290,828,874,763,381,215,842,551,604,860,063,345,776,
207,422,928,909,646,972,729,575,163,498,533,108,822,059,050,370,935,013,388,
515,484,368,296,659,796,227,868,053,169,505,988,937,272,711,356,543,699,193,
557,652,248,602,618,671,472,959,504,439,206,716,954,744,441,723,580,442,115,
012,942,660,602,642,742,875,021,988,595,009,209,608,544,466,327,210,145,944,
364,446,210,339,371,267,767,106,593,148,215,846,063,944,458,519,918,278,193,
828,370,588,760,906,664,602,386,233,244,865,748,561,630,593,109,015,572,857,
727,240,097,017,516,344,524,858,291,691,831,804,176,957,807,898,587,862,105,
389,467,318,686,212,618,463,623,728,238,256,359,765,173,604,532,973,902,879,
241,196,925,064,480,402,693,834,589,280,049,249,703,517,380,694,451,280,645,
295,451,290,455,177,759,674,480,894,305,889,526,542,048,622,879,226,816,022,
852,500,997,463,566,503,126,056,917,598,722,087,226,347,877,979,641,195,829,
941,557,796,559,962,557,519,728,823,386,792,505,229,205,750,453,333,146,426,
633,905,081,892,432,475,578,420,766,614,588,800,093,325,990,894,967,332,061,
940,219,056,096,096,096,112,193,317,365,621,323,604,366,689,604,628,709,958,
514,746,343,731,653,785,040,966,984,803,790,602,581,376,643,984,721,420,227,
961,987,287,553,257,498,685,887,768,601,968,052,268,883,023,144,807,326,506,
185,121,197,669,722,044,759,723,393,065,138,598,815,366,506,565,670,106,816,
948,056,184,355,951,346,843,155,358,326,222,184,414,953,336,546,775,151,741,
552,446,793,397,336,694,475,923,540,089,924,664,537,070,098,603,124,993,781,
057,027,542,502,294,226,540,182,491,102,923,195,508,719,475,133,846,420,166,
420,835,448,277,862,759,369,437,596,213,493,603,622,531,888,553,921,081,529,
179,446,233,025,568,657,683,084,281,256,235,772,778,088,204,357,794,986,389,
262,520,609,990,186,482,253,991,597,786,672,379,431,020,840,337,478,064,165,
800,633,765,465,223,191,164,858,389,909,885,457,048,782,316,793,944,352,828,
554,079,745,972,890,716,156,956,353,859,485,875,817,238,702,991,589,421,937,
538,672,670,167,100,448,508,254,564,326,158,817,920,977,619,936,874,758,603,
218,382,910,101,670,080,864,822,993,573,626,532,610,613,708,953,930,261,006,
993,426,140,858,787,429,815,055,582,395,173,737,536,220,787,030,431,013,722,
306,439,063,198,992,941,332,612,637,608,668,123,902,700,122,826,859,982,115,
947,981,661,275,221,638,438,852,464,445,756,360,045,101,978,165,052,009,167,
213,650,427,204,516,826,903,599,457,653,080,640,139,572,061,487,585,290,651,
987,897,288,906,572,910,393,561,487,303,402,815,212,289,216,098,792,872,560,
751,260,103,572,865,781,805,683,255,455,243,177,390,870,263,716,527,322,851,
507,831,065,769,506,860,103,271,053,281,918,605,495,660,469,802,384,137,879,
781,527,612,283,992,107,765,312,246,544,963,136,390,508,058,189,723,575,070,
960,029,101,478,692,246,884,088,121,361,672,663,556,358,368,915,928,893,289,
222,795,347,250,215,195,977,761,886,569,118,480,064,048,315,293,386,451,661,
825,840,300,564,995,914,827,847,337,508,304,098,999,430,712,117,580,087,846,
931,119,304,268,590,732,259,033,377,622,716,544,338,797,510,705,407,649,445,
579,742,143,418,327,359,229,508,108,541,347,107,528,040,419,673,785,020,109,
340,396,681,308,513,465,124,091,221,937,640,732,426,101,285,880,312,640,650,
531,278,674,659,837,364,115,309,432,926,251,037,158,537,942,439,078,064,487,
275,006,858,582,880,664,679,428,728,664,428,345,106,093,038,830,762,138,660,
371,661,747,308,027,383,407,272,179,833,751,151,473,223,914,521,523,261,018,
860,087,539,113,438,452,862,214,240,585,590,000,187,292,623,334,826,711,107,
379,657,979,240,882,734,953,484,987,202,072,026,121,970,534,459,639,633,118,
896,578,238,857,400,776,249,366,222,899,810,874,195,298,851,225,346,404,994,
467,148,280,766,180,365,265,671,204,848,216,596,868,510,301,066,218,148,370,
572,766,578,717,172,906,739,932,112,885,377,776,230,961,808,595,586,115,962,
282,215,720,254,598,937,099,244,883,590,406,787,181,355,465,992,523,918,274,
282,214,965,623,169,627,296,892,551,321,817,981,984,715,126,718,583,808,160,
109,393,012,889,841,681,974,533,068,703,963,448,063,302,398,917,127,859,912,
557,402,801,963,728,141,204,549,717,428,427,691,786,649,265,611,735,061,581,
181,911,601,432,723,838,391,052,009,220,135,079,244,808,719,699,034,766,954,
417,955,060,488,754,499,922,718,113,130,266,117,177,446,739,346,931,036,867,
087,950,958,596,075,416,055,955,968,974,742,702,863,427,286,002,014,433,835,
340,954,241,648,917,143,272,540,302,992,529,573,395,385,482,207,710,936,105,
624,208,546,939,183,268,390,909,388,707,560,375,916,773,032,651,423,036,890,
646,229,857,804,813,634,486,398,528,918,746,269,711,242,698,070,755,102,248,
398,288,149,228,485,590,533,427,849,168,925,420,335,322,619,177,734,409,673,
791,947,412,314,943,589,547,683,889,086,787,770,632,348,518,662,322,666,316,
252,428,705,406,986,885,565,164,825,568,784,630,255,568,541,905,680,450,646,
814,564,102,215,246,912,125,204,580,317,299,255,502,794,706,765,535,874,729,
463,303,896,274,364,472,922,802,704,949,526,984,680,858,131,591,825,804,253,
636,870,919,717,952,509,596,975,312,042,492,911,034,091,753,383,461,362,452,
269,148,665,332,953,584,722,940,815,983,046,438,767,854,111,537,562,255,056,
858,522,616,826,258,194,928,015,942,403,074,870,415,338,464,858,643,923,372,
542,082,950,112,263,310,116,706,365,113,231,009,619,751,996,186,425,002,930,
949,544,426,999,105,263,687,844,619,484,178,737,457,112,761,864,921,251,396,
599,710,966,429,689,000,909,025,485,596,598,689,277,053,479,553,832,959,940,
706,975,284,196,909,866,764,913,921,906,161,711,616,276,909,230,008,205,646,
032,372,515,554,691,561,605,384,328,816,142,163,438,088,982,970,626,807,594,
316,777,072,108,540,750,571,966,215,989,780,785,761,525,052,100,897,459,059,
417,920,059,798,023,449,972,899,677,368,366,581,114,774,866,886,854,192,634,
286,913,284,958,498,514,495,503,040,724,063,384,797,511,459,955,260,068,161,
097,509,727,374,881,518,165,992,635,457,762,998,137,703,155,727,551,124,540,
249,250,108,659,724,711,928,912,501,230,664,902,348,863,079,838,068,232,810,
368,903,767,932,553,202,073,071,579,827,100,716,345,054,359,004,232,471,497,
337,477,266,419,506,210,775,766,291,379,818,737,148,027,689,687,310,658,493,
960,171,876,758,612,892,889,434,942,011,592,718,446,862,190,943,078,096,925,
395,165,157,943,594,970,971,481,546,090,885,645,553,697,206,636,486,426,766,
021,115,682,009,087,229,094,703,000,897,022,411,860,334,825,951,740,254,241,
837,091,387,646,304,436,277,671,700,597,989,985,750,605,164,779,667,140,181,
654,027,878,410,914,171,502,045,742,870,958,572,129,992,091,370,005,297,493,
260,900,650,688,464,883,011,412,724,722,552,562,992,851,140,496,425,995,612,
734,521,157,098,468,554,630,718,182,589,763,776,897,631,127,589,814,521,791,
942,739,268,930,010,114,934,197,044,043,798,119,258,785,631,224,955,169,772,
916,113,839,585,875,394,791,046,960,840,767,321,030,203,435,584,120,729,816,
185,727,843,009,987,893,504,124,213,844,937,656,776,038,800,373,591,036,177,
359,487,278,087,359,986,348,097,464,841,957,841,266,474,188,665,873,493,042,
612,395,647,339,379,410,960,808,933,026,900,807,465,552,851,008,183,902,290,
440,098,609,425,131,016,526,855,686,579,383,444,530,179,587,100,997,070,886,
438,049,987,495,129,640,723,182,183,585,348,202,132,049,067,971,989,788,004,
045,296,931,178,007,974,028,776,938,711,533,709,830,488,056,281,812,026,021,
817,615,738,245,940,777,281,917,651,223,931,944,383,199,230,251,858,669,625,
547,074,373,136,939,466,229,183,044,607,409,900,481,655,587,559,146,863,194,
910,626,560,959,701,824,590,883,176,574,957,750,763,083,250,941,015,800,801,
950,526,914,248,364,527,740,416,669,248,107,076,954,503,262,600,820,684,135,
813,075,983,665,417,761,673,258,355,569,829,331,505,868,255,328,486,183,506,
232,497,401,065,237,748,085,348,927,927,038,180,490,830,685,072,127,374,224,
036,234,484,432,771,965,242,715,985,003,717,018,507,925,705,117,897,497,262,
244,824,000,539,066,120,300,460,018,714,875,192,134,097,243,819,928,742,015,
837,394,679,692,461,009,857,186,400,106,647,374,179,096,032,175,980,697,916,
215,431,516,627,889,413,047,402,911,394,832,201,951,440,232,442,314,096,300,
921,951,932,789,657,802,305,768,025,556,269,157,625,198,256,168,082,824,294,
793,912,369,467,657,254,220,105,022,373,976,112,117,615,590,782,297,222,846,
840,147,484,617,082,645,945,643,417,255,184,708,823,458,074,114,459,749,273,
859,607,952,368,868,959,830,969,278,132,658,043,373,226,910,854,661,941,162,
547,788,441,620,310,731,637,399,077,936,839,979,820,428,036,063,556,512,088,
687,927,231,597,117,497,272,209,956,214,820,245,372,117,604,687,821,994,735,
212,780,336,738,222,237,355,389,909,200,918,625,901,392,251,352,052,967,542,
275,404,074,708,731,586,737,301,980,842,204,578,289,863,733,442,650,747,894,
264,835,250,740,028,495,318,730,784,133,602,739,102,703,964,929,599,395,401,
481,434,251,588,804,436,184,712,630,352,092,124,237,322,276,521,429,000,839,
153,158,586,378,937,691,659,297,716,718,579,499,167,512,270,558,329,545,066,
346,944,006,680,535,578,691,238,197,458,203,784,424,467,325,774,385,959,242,
690,765,832,530,103,180,721,328,525,655,254,724,929,515,555,129,006,149,985,
386,697,473,139,097,465,957,333,554,630,306,536,629,294,246,508,653,276,707,
124,693,036,720,844,167,857,926,705,524,628,510,161,931,986,300,131,525,853,
585,725,489,007,862,596,199,252,130,335,376,581,664,982,481,790,213,385,213,
677,379,942,054,997,528,997,900,294,037,292,901,410,604,058,158,723,907,058,
851,955,866,467,273,596,448,156,780,663,928,988,021,207,055,016,411,446,792,
097,874,723,090,019,264,566,253,439,889,411,982,719,727,650,783,745,731,406,
769,975,966,472,280,127,432,153,059,072,235,799,628,106,630,562,052,716,909,
084,171,956,178,545,844,689,644,043,714,479,120,114,335,180,816,096,426,020,
944,948,759,104,662,379,701,001,270,107,567,542,237,634,954,800,053,620,306,
689,765,195,588,104,262,102,050,414,989,969,593,315,227,769,810,089,436,610,
037,345,358,798,813,301,103,770,222,313,341,830,608,728,235,630,237,735,858,
286,256,005,362,394,258,065,438,463,661,955,019,460,987,299,136,845,682,566,
586,321,044,040,220,118,598,759,670,233,139,416,660,469,371,415,418,921,079,
084,550,954,767,683,023,663,463,986,745,572,143,910,220,201,467,393,974,905,
039,371,147,585,934,156,331,236,821,999,395,516,396,582,523,812,761,248,140,
428,761,849,381,343,159,941,670,644,543,450,327,807,558,083,867,393,847,880,
985,109,941,559,941,362,162,790,447,079,632,143,864,572,200,924,106,173,616,
696,365,151,464,407,198,366,601,424,809,375,593,717,453,974,349,031,798,273,
125,716,818,093,151,341,232,381,754,815,771,236,657,577,040,940,473,121,370,
862,332,218,884,872,778,448,218,301,053,325,341,457,129,295,932,337,129,576,
834,820,773,767,840,157,924,050,162,271,555,732,555,868,470,710,830,326,033,
987,632,033,694,860,453,848,713,758,724,677,512,534,830,393,638,317,810,947,
635,911,426,535,105,553,166,146,641,563,139,476,591,462,142,482,137,333,974,
704,146,532,453,473,274,160,902,717,384,075,783,890,134,473,658,333,115,944,
414,508,517,796,979,038,829,782,104,047,955,264,968,681,884,535,958,410,598,
542,104,222,455,016,757,727,920,445,316,942,731,119,157,503,282,141,454,251,
118,216,595,725,405,278,304,699,520,659,617,051,802,343,271,169,532,878,326,
646,442,424,663,683,108,715,361,495,446,068,254,264,616,965,508,385,549,026,
875,603,142,917,061,313,643,596,266,477,646,463,902,672,596,387,083,524,502,
294,299,425,903,045,366,681,845,123,220,130,603,294,901,662,141,339,639,219,
047,611,189,267,154,036,279,087,212,925,168,099,180,020,450,658,003,881,029,
645,426,739,958,115,877,841,369,423,242,861,195,239,022,677,332,540,684,304,
252,050,536,101,432,243,489,180,365,677,042,591,498,807,255,266,953,132,481,
850,342,291,477,463,172,398,742,675,355,393,190,147,769,927,165,485,486,673,
911,743,772,380,658,898,735,098,452,756,558,426,863,291,705,985,595,987,077,
942,186,408,996,392,630,059,759,378,353,020,006,178,035,804,515,928,143,563,
822,491,363,368,963,084,726,040,378,210,212,034,659,839,835,629,354,065,810,
667,989,638,801,269,715,875,362,881,193,178,047,062,972,634,285,506,533,074,
271,706,299,518,671,519,786,706,054,433,115,778,496,095,826,307,987,998,975,
897,439,826,466,155,448,860,743,885,007,266,844,455,946,360,127,353,768,799,
115,057,736,310,529,073,284,368,065,361,731,939,869,074,127,232,713,349,423,
179,497,410,443,662,527,804,521,041,906,852,341,261,072,728,662,426,292,658,
411,068,681,139,169,474,675,523,736,055,144,021,760,965,113,685,271,091,971,
680,733,276,251,406,394,458,518,210,406,458,791,605,678,743,969,035,234,498,
100,182,509,435,133,975,630,587,591,685,415,722,074,576,015,050,155,330,460,
007,804,189,472,464,600,388,879,292,754,198,647,882,708,916,940,231,976,677,
335,821,808,628,592,803,027,522,667,161,081,734,197,634,175,767,646,421,841,
924,601,864,520,680,431,643,143,788,308,468,103,351,362,292,557,947,459,317,
341,662,140,599,046,351,030,022,190,906,727,597,367,034,237,958,069,310,668,
504,267,441,573,024,272,944,791,562,707,233,860,525,576,426,562,594,601,631,
410,209,554,637,450,002,439,037,612,862,401,648,906,635,372,945,045,213,511,
271,214,416,882,177,639,834,763,970,254,952,870,210,136,209,191,811,169,345,
861,313,678,822,692,266,938,821,415,071,408,986,877,826,587,156,113,869,994,
112,230,790,159,936,904,002,267,850,559,498,971,960,779,185,977,549,516,317,
296,969,954,615,208,701,544,794,139,905,406,248,091,417,376,696,130,513,415,
311,181,592,524,224,107,345,902,808,353,570,309,783,321,237,769,309,694,365,
457,070,443,637,487,061,861,342,371,121,585,402,409,255,279,988,074,805,953,
283,350,218,671,071,077,589,629,595,432,760,159,565,085,507,584,972,561,166,
501,989,393,423,716,751,816,303,663,356,378,486,445,093,080,023,803,766,150,
943,947,924,113,594,444,238,182,368,192,569,859,291,413,748,488,081,160,296,
386,065,484,105,701,069,154,768,978,882,560,002,207,253,856,178,761,185,573,
700,674,219,562,528,910,707,636,172,393,888,890,224,153,046,254,846,824,463,
186,771,439,626,977,127,486,879,697,590,627,921,513,268,810,989,581,748,947,
481,657,152,490,785,949,947,594,826,601,955,691,946,492,330,017,724,666,093,
743,192,116,211,130,801,931,459,589,708,943,898,392,946,474,004,723,736,689,
309,056,701,378,747,239,549,959,444,031,585,287,189,462,581,402,128,480,038,
143,279,405,868,103,471,008,706,060,431,443,213,997,369,887,284,643,210,834,
277,099,164,920,807,366,970,996,591,621,124,995,337,740,969,911,032,617,639,
797,494,173,886,292,873,480,572,964,125,761,152,650,321,583,526,578,206,521,
471,075,639,195,750,894,050,045,073,415,191,375,007,149,229,555,935,999,555,
300,063,729,179,780,865,704,946,044,787,497,138,377,786,668,959,724,449,510,
996,419,129,772,932,456,712,560,350,267,521,260,647,903,109,317,432,069,638,
173,787,246,622,390,782,437,903,387,955,169,462,772,259,310,128,504,136,745,
580,835,469,237,298,189,754,462,292,818,147,595,090,659,609,580,860,301,568,
963,085,297,650,266,537,614,607,070,103,358,644,670,038,613,455,577,321,658,
324,471,786,144,353,938,238,212,332,352,039,203,986,246,012,611,229,745,967,
043,127,172,957,568,386,471,809,332,136,717,530,597,995,207,295,921,064,446,
369,864,413,937,710,408,024,168,133,683,200,184,486,350,322,417,147,451,680,
613,818,629,647,883,281,778,731,792,981,591,238,298,708,754,940,655,872,552,
940,582,035,011,670,475,134,072,097,903,455,783,283,961,999,133,075,805,829,
566,333,182,486,557,010,967,702,924,686,788,865,899,769,977,662,572,123,637,
058,512,651,450,832,988,874,425,689,189,147,672,255,931,987,359,006,598,447,
286,014,707,979,990,610,233,212,453,952,980,476,441,729,842,889,095,157,269,
978,591,037,177,163,276,622,588,898,769,886,982,449,671,935,584,561,014,186,
534,252,045,252,852,257,696,420,558,947,559,782,670,449,709,790,311,124,460,
840,447,220,929,865,778,831,961,144,280,637,915,272,659,286,782,269,861,971,
320,711,241,922,460,509,178,242,640,550,285,690,411,771,526,362,480,266,282,
699,369,368,426,272,154,237,112,000,366,763,639,210,807,122,284,033,972,868,
687,430,445,195,757,587,341,808,918,614,964,894,127,485,268,515,002,735,957,
438,079,814,253,585,434,159,302,034,939,406,507,591,291,382,021,389,811,074,
764,899,722,120,619,368,830,759,710,331,761,108,553,736,683,727,364,091,360,
421,589,143,683,100,166,196,211,123,682,063,005,063,249,116,883,844,820,856,
140,431,332,546,655,147,791,861,087,415,134,062,915,221,225,231,590,321,795,
770,850,940,855,633,522,473,894,252,664,970,420,088,243,965,277,127,206,898,
974,801,737,872,151,663,968,237,374,586,744,090,543,268,277,729,657,133,100,
115,140,553,600,548,123,826,095,121,686,114,589,215,507,809,495,552,306,683,
236,221,398,202,917,379,163,142,429,279,592,354,103,826,223,493,163,929,924,
516,954,074,904,850,080,815,288,555,696,013,800,914,727,530,542,469,018,051,
360,299,386,118,496,463,202,793,347,223,952,930,372,082,359,787,849,902,794,
478,527,040,577,374,295,019,705,637,261,463,179,295,401,258,021,627,443,087,
761,785,030,566,522,650,241,726,073,538,287,821,411,904,915,092,995,677,542,
505,890,091,813,657,799,124,933,379,307,954,845,782,855,707,201,092,374,832,
884,761,203,121,663,478,981,864,299,879,471,516,839,136,612,495,124,276,378,
754,235,954,241,419,865,953,207,607,077,279,864,936,650,439,216,469,257,723,
768,421,335,797,956,509,110,912,779,707,613,347,360,183,090,389,349,387,215,
380,542,101,017,573,999,824,610,120,491,481,100,806,140,388,310,155,168,393,
397,136,446,873,131,256,632,942,742,136,056,868,946,101,608,687,315,668,216,
135,911,976,471,573,548,446,941,891,097,076,678,279,444,040,473,292,787,142,
858,166,525,905,472,292,870,262,981,269,595,864,409,534,607,076,189,436,770,
878,165,717,735,078,035,755,050,526,133,199,463,246,107,111,671,740,020,793,
392,970,285,704,131,895,772,876,191,064,252,283,195,182,033,171,273,011,436,
641,700,011,382,730,586,236,841,476,188,658,040,086,924,976,216,129,202,888,
901,960,889,668,190,927,923,073,984,679,922,137,231,571,338,317,545,266,274,
853,125,083,758,016,020,168,100,130,709,784,252,190,730,717,546,886,323,668,
673,876,984,438,122,658,939,633,536,175,555,228,425,911,689,522,388,560,462,
604,829,106,764,732,871,337,828,669,243,389,635,015,007,123,339,436,739,823,
952,582,367,896,720,791,137,312,265,744,171,881,756,390,199,175,857,603,367,
067,328,328,400,334,917,178,603,109,511,376,228,979,559,912,331,256,000,359,
515,966,115,158,946,497,091,334,743,682,520,273,000,060,341,410,642,701,157,
990,034,472,169,770,241,361,526,952,072,073,378,365,943,784,220,486,883,850,
741,791,140,190,553,242,857,484,297,676,467,489,133,830,661,451,946,130,815,
709,154,505,635,835,597,152,045,614,405,910,398,841,025,071,790,506,411,136,
799,113,186,286,917,295,542,172,599,099,265,082,201,618,691,148,858,479,398,
784,532,277,076,884,156,712,667,091,793,199,674,414,590,765,101,245,094,072,
492,831,090,208,138,114,805,493,576,576,832,836,353,513,961,051,598,598,682,
990,364,859,527,632,730,578,546,400,678,916,793,525,242,082,854,605,601,198,
407,698,241,245,720,898,833,238,509,032,044,144,975,758,154,920,171,433,548,
464,440,201,297,622,372,998,176,444,243,207,988,216,383,367,290,216,902,815,
056,882,203,874,402,540,897,918,177,083,103,427,397,105,996,750,165,965,889,
732,425,158,663,647,864,520,346,394,926,102,839,422,842,360,941,842,096,356,
085,549,823,324,799,666,349,259,870,953,557,834,080,571,266,812,208,911,547,
537,020,529,563,248,081,779,623,614,205,225,402,158,850,254,271,691,173,487,
420,301,660,475,225,638,600,506,618,331,995,944,372,518,529,206,299,549,906,
025,282,208,277,116,374,435,983,973,717,043,243,423,072,197,030,573,647,391,
524,225,403,746,044,086,639,399,052,135,743,696,917,600,581,512,265,955,038,
334,338,040,663,771,660,259,937,411,667,270,730,068,926,657,555,660,895,435,
666,451,697,263,966,434,677,042,418,820,773,171,310,285,761,260,259,456,071,
267,709,049,438,706,235,462,283,371,581,253,133,628,134,936,038,697,292,524,
312,401,849,325,995,647,039,564,288,248,803,059,606,622,378,499,355,930,711,
347,270,974,226,309,142,817,555,502,300,603,747,913,252,743,065,692,018,810,
141,847,707,273,047,253,194,912,150,022,324,042,525,516,614,790,545,063,938,
435,779,728,320,851,281,455,680,016,663,552,272,345,373,639,822,888,093,555,
914,918,428,862,691,482,496,634,162,465,378,421,220,418,674,957,648,145,666,
333,431,775,951,621,285,734,442,223,025,444,878,375,977,876,580,744,556,726,
689,539,812,288,391,752,861,825,735,576,460,257,170,199,038,566,917,423,416,
417,076,234,529,985,496,868,729,519,304,624,250,436,246,138,638,238,629,284,
415,394,024,871,538,252,354,774,195,765,805,968,861,824,866,159,859,699,351,
186,378,576,410,014,808,173,315,320,274,775,721,094,711,337,012,275,150,525,
518,640,702,436,699,690,401,607,424,525,780,571,313,014,887,723,734,039,946,
350,301,681,183,853,353,422,976,962,882,760,597,659,806,571,581,319,422,304,
359,578,087,566,295,140,394,181,383,338,158,468,881,240,672,842,849,457,693,
444,940,346,581,839,906,358,895,010,421,343,429,270,238,155,833,494,723,845,
294,491,446,376,476,189,011,299,680,301,163,899,689,103,640,752,500,944,483,
183,279,505,374,711,345,439,227,176,978,034,877,007,557,007,872,850,965,479,
886,786,742,832,156,180,883,484,282,548,441,754,445,745,627,540,088,228,618,
323,346,063,734,485,121,973,332,442,731,416,288,490,027,154,815,370,311,511,
961,449,627,902,196,913,576,239,822,538,157,115,057,459,196,686,095,280,867,
041,654,251,845,239,552,327,462,768,047,670,670,358,271,885,859,400,547,875,
486,351,953,816,369,191,175,886,207,428,161,915,972,353,005,549,362,425,324,
582,173,283,707,524,820,056,593,662,021,118,803,936,197,922,794,432,307,216,
796,286,368,086,789,154,855,159,740,819,547,415,788,891,185,441,115,809,663,
794,118,136,233,722,094,542,777,924,435,031,087,523,927,843,382,081,634,245,
993,164,724,599,650,708,378,184,398,747,141,070,075,175,816,486,169,080,736,
005,029,793,214,548,413,928,284,423,146,888,338,697,335,330,557,819,470,949,
560,263,056,159,060,626,305,065,131,863,439,161,514,136,274,054,193,537,260,
485,842,086,193,947,464,664,008,174,202,895,880,539,883,626,972,343,257,494,
760,042,116,655,583,525,781,363,474,184,989,074,403,936,139,965,229,818,979,
671,722,952,527,402,200,574,326,187,097,150,510,233,678,611,739,484,483,283,
141,039,882,123,191,903,717,267,971,906,864,148,979,746,636,677,817,792,168,
764,754,371,301,470,047,806,802,407,596,141,292,736,773,786,117,683,429,341,
662,749,511,980,484,736,031,366,922,183,584,346,408,082,529,140,867,820,690,
289,147,804,945,474,871,010,393,681,177,789,596,001,978,376,076,681,526,163,
751,085,187,530,026,238,632,187,430,551,374,746,752,517,362,341,254,599,171,
492,346,420,110,754,439,158,555,137,192,324,997,406,434,348,010,954,036,404,
164,779,786,251,028,078,836,093,292,049,911,275,556,960,552,702,399,963,096,
018,752,073,822,541,093,637,398,723,862,570,609,526,042,574,086,935,810,265,
944,715,233,872,517,988,940,029,348,622,704,198,742,775,096,141,144,758,913,
556,120,090,786,332,204,471,461,221,395,067,861,201,666,700,375,278,463,229,
694,599,646,409,859,663,392,229,852,317,560,699,169,029,666,468,456,150,131,
774,508,036,142,938,395,294,861,472,008,426,400,689,200,741,694,024,115,413,
313,320,988,412,867,624,922,994,417,738,200,977,195,210,078,751,680,315,967,
761,698,569,862,564,443,938,603,008,123,192,542,360,164,696,574,355,659,343,
976,133,447,817,443,939,055,746,693,306,280,856,592,471,624,940,191,809,924,
080,210,007,543,999,386,256,193,295,781,796,531,481,727,604,021,434,392,170,
352,520,874,481,936,750,950,594,710,366,960,509,493,914,979,869,160,795,881,
878,788,855,142,527,552,715,407,531,240,900,726,247,166,379,002,734,129,489,
137,205,998,598,864,937,305,601,060,554,323,434,152,229,720,520,531,148,641,
410,788,696,392,127,082,911,051,771,995,000,196,169,617,971,835,352,777,413,
056,313,829,985,046,293,941,318,157,014,133,132,561,696,138,011,256,464,695,
919,539,543,895,959,508,281,548,114,130,196,615,577,119,211,103,958,849,792,
211,441,602,951,603,330,105,702,127,172,231,322,077,750,419,063,582,382,359,
779,229,467,315,086,351,531,577,090,591,649,725,504,112,808,179,661,145,546,
964,729,707,347,981,487,124,051,317,440,453,185,909,007,292,516,444,175,262,
781,105,115,246,496,747,994,914,612,382,335,830,958,085,871,255,446,113,202,
379,914,966,902,850,388,250,419,796,225,771,989,816,370,013,651,704,582,954,
567,838,038,979,867,058,851,824,037,947,988,869,249,981,049,945,932,250,769,
052,335,557,040,977,282,535,189,699,154,612,411,828,207,788,128,387,753,171,
052,823,269,520,144,147,593,662,904,771,127,368,106,998,060,388,002,874,721,
494,347,174,416,417,741,536,328,242,782,551,116,226,438,848,524,915,758,449,
627,098,767,862,242,560,142,520,884,654,162,017,197,498,125,605,192,158,838,
997,896,157,061,057,852,346,384,360,627,546,822,440,091,435,332,623,017,269,
802,905,559,230,399,249,638,429,759,799,639,794,301,855,443,884,995,998,192,
887,378,088,567,660,501,772,267,226,976,405,577,930,302,472,346,776,485,978,
490,650,650,369,911,560,589,990,577,985,407,070,525,368,817,173,828,938,186,
120,569,110,812,598,794,835,456,776,102,573,700,464,950,685,134,338,151,605,
501,079,023,132,796,750,368,700,026,801,622,794,575,550,665,879,003,628,309,
200,539,228,579,671,048,901,566,799,942,456,375,102,631,249,940,863,623,385,
577,238,828,411,549,193,345,728,912,041,870,275,706,781,505,732,691,482,459,
290,278,992,800,181,735,346,304,080,808,636,495,342,269,334,416,105,700,225,
778,472,388,947,896,271,905,232,848,018,106,164,717,070,494,603,981,091,406,
436,622,495,466,148,897,907,927,758,386,143,057,068,006,308,598,757,689,703,
631,091,871,402,559,340,894,934,301,840,791,099,656,310,610,823,747,941,519,
682,674,025,555,931,723,490,551,538,966,628,125,096,435,930,953,355,504,022,
932,508,681,141,743,699,538,225,370,921,867,250,324,105,584,791,283,677,359,
112,102,295,235,528,193,166,066,402,638,700,711,125,537,704,786,513,949,849,
051,827,318,999,820,343,774,707,876,512,649,261,281,508,192,268,244,024,254,
557,397,116,045,256,429,446,761,572,400,934,663,375,080,544,519,166,380,106,
954,303,129,551,952,960,215,061,907,334,034,379,499,493,263,739,005,684,953,
873,321,201,635,500,099,972,221,976,713,400,959,574,255,582,643,294,279,116,
138,557,296,043,351,078,117,938,477,168,741,348,292,438,410,019,904,159,881,
949,626,309,778,690,078,609,510,658,000,613,609,324,181,658,918,492,102,235,
037,207,435,788,386,118,565,449,905,970,066,943,368,102,967,631,590,074,914,
252,381,417,839,499,838,039,097,615,669,682,455,989,579,197,315,743,644,210,
767,293,603,346,683,969,418,484,635,014,822,097,683,070,610,678,489,921,853,
665,984,862,599,219,087,899,345,933,107,175,518,479,527,562,130,208,894,764,
955,620,350,757,402,691,354,959,945,396,692,053,997,019,002,713,391,383,771,
511,702,703,668,528,535,633,235,669,162,491,400,239,400,086,073,561,262,217,
454,796,854,904,253,180,447,069,020,875,449,012,156,814,798,280,394,198,538,
078,672,881,338,025,140,042,896,720,238,488,627,419,016,496,595,095,732,882,
754,479,135,907,951,155,169,601,467,574,337,427,593,862,797,133,726,133,025,
864,849,599,281,962,708,477,604,671,641,137,157,608,280,221,381,782,826,811,
070,758,518,534,779,723,517,701,313,427,759,045,481,897,870,502,291,440,352,
759,950,513,624,892,763,349,412,566,071,006,741,242,174,659,688,016,781,118,
476,933,574,223,427,723,055,722,892,077,851,812,327,621,645,160,929,818,105,
485,120,870,605,445,209,619,475,368,125,033,606,051,356,641,382,433,633,688,
624,088,713,536,243,224,981,505,876,634,814,650,652,034,508,461,841,572,567,
100,868,230,684,517,782,110,877,468,726,747,963,294,031,468,669,646,198,467,
000,483,343,468,437,827,228,796,483,790,597,706,168,032,900,530,330,454,361,
167,892,449,955,576,852,690,764,623,680,621,326,282,157,212,490,001,749,589,
173,967,534,944,215,192,471,154,479,157,577,177,657,976,760,453,386,198,514,
508,428,695,862,805,523,415,091,336,469,050,455,497,399,462,940,132,395,436,
812,233,940,955,488,595,687,249,876,510,858,633,735,117,669,235,863,037,612,
081,088,017,956,589,190,227,290,010,852,447,004,031,106,372,348,456,513,327,
374,180,086,419,370,920,647,833,162,038,698,592,657,731,218,343,977,705,864,
598,199,169,247,981,994,304,548,608,051,632,348,324,000,184,628,012,719,904,
484,273,708,597,823,170,587,163,839,750,610,212,751,913,481,034,600,207,237,
464,672,481,961,412,102,989,141,008,600,359,820,937,732,609,385,127,318,540,
728,103,316,044,855,730,585,532,021,800,999,126,045,006,997,354,860,662,884,
441,238,018,423,286,751,719,873,845,270,848,305,892,630,920,125,054,008,092,
697,901,469,604,923,521,030,325,396,705,921,642,314,901,965,904,637,227,407,
512,116,263,547,293,450,342,620,446,587,182,065,547,855,632,621,527,988,997,
775,930,343,584,889,396,520,855,854,401,826,083,496,143,060,496,755,455,490,
278,552,412,258,535,885,320,892,910,258,503,873,797,710,996,629,329,582,336,
195,217,755,844,967,962,561,433,428,721,545,716,508,171,889,673,321,567,075,
539,590,529,837,938,944,110,096,807,076,737,796,713,764,702,492,217,588,189,
959,739,320,817,684,887,912,892,711,678,185,217,870,030,161,827,544,108,544,
747,899,402,606,682,924,303,857,342,937,941,896,182,165,711,737,294,155,886,
797,886,041,419,508,552,323,896,369,926,404,632,770,433,192,000,441,508,873,
344,133,312,033,927,693,313,410,029,448,818,702,266,798,626,721,307,032,117,
936,395,614,356,752,949,834,028,708,075,039,274,302,927,266,353,784,762,386,
054,188,416,841,871,240,343,809,032,594,338,990,494,943,766,046,916,797,575,
977,660,538,036,995,104,918,174,797,983,866,933,712,973,097,296,823,688,191,
933,342,269,085,719,377,871,061,905,710,390,291,384,749,133,648,652,968,187,
799,338,958,789,806,924,634,725,457,296,733,952,241,951,317,711,328,569,020,
765,729,875,246,127,765,503,619,079,695,032,011,295,262,242,170,127,291,098,
815,632,964,207,870,258,315,687,259,897,741,775,439,470,506,218,525,417,041,
261,487,462,488,818,606,919,643,241,854,137,892,815,666,502,110,326,071,673,
773,547,983,784,571,112,186,519,213,846,375,733,808,189,161,113,728,246,119,
457,628,197,711,559,586,881,583,469,579,423,180,963,406,518,182,260,442,010,
424,855,414,479,656,894,576,332,745,718,829,516,457,735,127,438,885,067,224,
334,702,101,853,567,511,994,783,862,973,751,343,243,014,698,417,010,287,956,
343,404,329,671,075,523,013,934,302,899,793,490,678,666,493,697,210,024,786,
637,658,638,365,754,595,315,635,232,343,736,258,204,930,454,559,367,067,026,
911,913,834,360,185,188,410,404,352,246,308,276,127,523,834,336,653,493,547,
267,481,508,128,077,047,250,305,926,124,030,053,745,653,896,369,197,151,483,
498,385,709,155,571,777,414,189,806,354,760,046,084,252,328,779,253,473,026,
416,649,277,340,271,226,072,850,816,863,998,088,197,291,346,909,784,984,413,
988,763,276,196,995,145,228,816,940,378,134,459,080,213,558,262,775,748,542,
847,565,495,829,817,132,818,669,554,620,666,083,448,133,876,277,078,897,325,
963,417,390,543,125,589,634,345,776,157,444,951,210,618,672,588,132,121,621,
819,687,824,928,961,967,450,127,159,638,773,637,420,895,399,906,902,174,996,
202,516,221,321,091,388,590,292,655,337,005,348,610,846,928,706,761,145,870,
754,611,085,463,035,754,909,501,677,987,312,829,088,551,316,354,678,328,938,
513,501,034,338,333,208,500,795,837,466,014,262,683,343,809,119,506,261,168,
334,379,860,122,811,902,420,714,087,183,445,988,773,507,573,873,981,394,382,
832,692,174,737,320,330,055,980,198,978,862,271,243,451,261,062,726,115,737,
235,991,164,076,273,919,945,033,875,911,589,083,351,103,506,905,320,089,283,
400,848,263,687,896,380,633,632,752,927,674,900,923,631,625,120,062,355,654,
699,702,569,012,749,943,216,313,721,871,813,831,734,883,435,819,931,319,455,
235,884,001,515,065,564,385,355,438,497,517,949,246,876,009,536,485,063,118,
843,563,109,509,184,182,409,711,014,053,724,084,455,745,188,884,403,311,825,
907,152,813,704,156,947,632,306,246,712,191,976,069,107,997,995,601,089,131,
815,828,544,228,502,550,987,756,895,088,264,038,127,809,937,073,814,427,400,
643,236,219,149,517,064,060,213,257,097,521,341,303,701,027,509,552,461,426,
774,221,316,782,308,733,164,197,590,564,778,159,781,392,889,336,024,375,876,
273,474,408,202,317,145,935,307,915,047,393,843,991,267,499,618,618,813,742,
437,901,979,122,015,493,405,782,012,630,867,324,367,430,281,315,750,773,737,
706,007,328,250,680,403,652,943,813,886,176,088,641,452,099,182,870,732,756,
174,803,825,998,580,670,493,170,939,296,930,627,499,355,170,923,461,363,500,
261,926,197,910,302,980,160,299,555,307,945,675,657,926,007,392,638,869,704,
402,227,248,700,294,038,790,880,717,686,071,810,307,211,672,170,468,253,133,
505,706,859,949,098,204,827,149,731,750,903,335,819,686,270,420,016,739,851,
616,455,091,793,053,996,388,139,916,418,875,046,469,379,923,864,833,673,194,
305,715,320,110,295,445,751,048,490,155,533,404,320,891,292,907,486,016,413,
949,982,405,379,551,011,193,212,529,152,873,650,580,375,995,836,748,341,590,
754,174,523,388,706,873,194,752,019,071,457,398,081,928,541,550,906,325,217,
163,902,251,282,973,309,955,171,460,671,540,526,836,837,899,778,816,090,717,
255,591,827,067,198,687,799,477,128,083,249,990,818,496,212,740,033,329,530,
549,842,804,183,901,472,728,566,913,684,031,522,738,554,833,027,276,776,922,
319,324,457,940,831,893,995,528,328,681,209,424,061,893,979,369,579,017,569,
338,224,666,282,779,198,507,806,006,729,467,404,144,837,816,425,857,340,884,
353,202,168,820,953,151,272,584,907,189,246,646,181,683,664,964,242,910,205,
603,153,302,320,137,400,398,208,608,543,116,344,726,517,370,068,336,210,548,
219,069,850,142,137,695,518,370,691,395,983,646,492,353,185,061,673,288,846,
787,591,476,672,983,343,270,327,735,044,900,800,823,251,640,853,628,052,178,
352,524,613,666,102,902,939,277,212,096,429,021,932,589,567,986,379,719,973,
571,680,103,970,826,811,021,474,158,471,559,618,248,188,033,731,398,250,290,
374,286,710,440,264,406,669,935,487,613,788,468,345,645,372,171,200,420,316,
926,490,757,191,964,860,705,605,272,498,587,918,487,553,503,193,609,169,730,
600,210,115,091,991,829,604,787,711,294,125,762,992,992,011,011,019,531,828,
191,085,915,699,647,194,957,228,923,918,935,868,411,490,146,205,743,172,148,
311,222,387,298,912,337,532,784,214,922,652,990,453,135,533,527,914,609,178,
436,934,558,630,064,738,243,882,286,144,266,506,132,946,797,982,479,577,059,
007,236,690,396,264,449,084,629,525,947,320,115,045,000,503,997,857,611,046,
455,236,417,518,165,541,849,060,332,426,150,152,993,989,543,570,278,263,463,
220,949,076,843,544,494,540,302,747,197,079,461,257,700,059,921,741,321,336,
699,993,043,587,403,927,466,923,289,188,778,320,073,436,864,522,694,136,676,
484,180,749,089,222,125,173,966,326,212,711,509,433,768,870,596,724,379,606,
854,815,620,489,022,343,228,966,248,116,162,351,664,053,842,528,198,123,305,
506,797,351,270,245,350,486,676,668,979,294,482,160,331,445,777,028,016,842,
585,974,756,432,379,208,130,678,218,428,138,667,893,637,279,242,856,842,323,
526,891,698,955,359,446,503,810,145,504,668,788,751,561,521,375,489,474,885,
503,683,266,043,846,891,856,094,072,479,900,665,890,546,011,329,118,432,888,
695,128,726,565,951,526,533,431,406,450,257,344,462,404,068,351,019,345,449,
600,047,516,780,551,946,913,470,514,878,678,742,675,744,342,189,088,414,347,
634,708,693,701,108,796,365,416,349,572,893,834,365,298,702,311,696,190,110,
307,598,348,706,958,571,574,221,600,762,427,452,679,137,021,168,798,473,253,
112,708,934,911,700,182,197,711,539,974,689,440,753,440,485,761,718,191,182,
525,838,947,899,303,548,462,219,991,098,083,588,816,206,262,007,419,880,531,
760,200,319,932,763,540,508,113,288,593,037,331,887,108,973,963,766,921,100,
161,099,901,747,936,338,884,221,045,397,134,955,635,734,388,247,126,260,944,
942,061,879,517,369,002,256,236,675,063,605,954,018,738,806,940,175,284,265,
495,606,965,246,943,240,418,781,641,076,015,295,969,577,930,256,615,657,083,
774,008,005,860,839,747,202,753,738,778,249,780,866,596,615,180,300,838,805,
137,060,440,989,802,972,101,144,902,782,354,008,912,127,444,609,955,774,639,
873,827,319,754,026,716,256,436,677,107,109,235,473,821,817,550,611,480,869,
627,242,554,452,734,811,295,521,087,948,242,530,449,513,087,819,236,915,701,
242,404,565,779,716,816,439,861,823,547,332,287,832,780,749,420,279,262,989,
355,496,632,712,038,337,551,976,761,023,111,570,736,291,312,211,427,330,927,
718,104,941,467,676,472,092,327,869,175,305,965,186,385,096,731,678,002,461,
584,673,818,139,763,539,762,864,757,814,455,865,817,232,268,584,920,523,769,
423,544,066,840,806,557,292,661,643,181,293,196,407,616,793,868,350,835,734,
963,581,283,049,601,082,390,652,297,563,320,280,183,554,041,331,627,312,970,
154,310,523,135,689,515,921,283,466,086,184,633,654,409,700,386,125,357,322,
847,815,206,572,299,181,461,010,721,039,658,442,183,247,111,438,677,152,458,
572,805,157,848,079,465,616,977,485,166,952,795,438,160,570,010,211,831,686,
105,741,348,942,464,280,023,135,202,145,043,961,245,728,938,246,549,583,726,
890,128,941,673,305,494,450,950,181,678,852,544,817,355,635,984,388,184,358,
149,986,495,707,362,534,085,852,931,933,708,135,792,185,911,289,093,974,019,
086,672,523,655,780,741,298,515,290,268,231,101,727,888,933,566,909,783,853,
199,125,870,484,490,157,702,901,522,031,958,459,177,194,713,583,921,548,155,
710,742,372,077,855,285,199,663,582,241,806,242,731,299,176,222,621,980,139,
604,241,470,390,193,542,484,075,315,008,189,165,273,216,041,278,161,570,340,
528,722,748,215,118,820,336,159,095,724,102,102,330,813,407,809,567,939,513,
149,579,538,773,422,561,613,720,831,199,988,599,380,316,756,411,632,094,810,
069,794,080,806,557,265,653,949,420,447,305,247,285,569,251,953,535,110,334,
157,067,977,276,390,853,546,818,656,967,808,575,860,700,465,264,990,665,663,
148,188,886,593,038,803,780,432,930,791,742,110,020,097,139,489,201,083,268,
545,093,949,270,899,196,921,086,082,293,186,344,585,407,758,054,750,755,417,
243,767,620,074,533,184,118,513,370,565,112,721,095,765,391,620,712,667,821,
156,820,659,072,802,337,446,335,069,005,327,023,920,733,774,948,212,562,456,
073,410,654,581,455,345,427,187,526,684,100,470,106,927,589,375,060,263,387,
162,467,152,529,535,778,363,890,709,633,407,795,141,868,774,638,781,398,117,
858,606,214,081,256,497,248,020,801,105,604,366,016,872,962,754,532,040,801,
932,380,864,043,501,203,204,392,310,981,260,698,562,024,354,898,611,724,438,
850,135,220,636,293,383,910,026,729,771,695,363,840,957,470,393,101,857,820,
425,577,829,908,545,181,300,010,073,436,059,116,141,256,237,484,414,820,648,
920,934,012,198,308,291,929,619,859,082,159,920,163,890,312,302,533,334,616,
143,497,693,733,532,671,986,602,868,343,118,729,460,388,450,206,671,379,111,
521,680,020,921,429,440,234,010,173,267,570,231,285,695,853,448,494,719,524,
377,360,473,629,382,075,636,690,902,086,008,749,827,659,998,128,841,739,689,
676,946,518,650,487,442,545,908,927,891,597,248,464,328,934,076,910,577,702,
891,570,743,700,080,393,859,371,388,261,331,521,056,597,476,124,827,735,115,
942,601,099,288,749,503,476,504,237,413,611,020,702,358,244,382,703,369,129,
964,226,156,100,281,667,982,229,541,598,782,751,760,614,732,439,277,760,957,
331,331,351,288,455,861,038,635,040,519,990,213,119,563,787,920,492,586,857,
876,848,771,473,304,927,599,948,098,678,205,245,499,296,742,969,058,874,402,
463,615,405,840,241,562,432,098,235,858,297,880,676,532,990,488,217,492,371,
594,296,862,848,649,772,128,147,272,044,064,149,023,008,068,505,688,492,904,
279,107,210,241,974,695,249,288,810,851,628,890,932,208,798,732,093,028,504,
811,025,859,220,765,580,882,327,243,967,917,894,504,348,882,199,169,434,669,
759,826,917,315,704,133,767,607,663,094,858,594,797,659,396,429,070,558,355,
896,525,437,334,410,063,374,393,835,397,164,751,549,293,376,499,296,374,880,
883,436,312,299,182,404,035,572,072,207,992,441,930,160,301,119,960,419,135,
008,693,492,012,699,472,504,244,754,451,673,270,521,493,730,879,797,435,141,
430,558,917,017,937,497,487,485,796,059,027,040,778,026,339,408,565,046,169,
026,147,043,658,048,397,277,660,995,682,674,899,528,534,726,944,766,536,476,
667,290,083,520,785,601,733,795,237,945,973,038,462,559,828,649,599,810,702,
438,869,107,701,843,685,674,896,197,750,570,465,216,408,205,632,724,642,401,
504,037,893,986,554,370,891,960,252,393,396,355,156,563,375,222,413,767,388,
129,575,015,798,806,297,579,836,882,966,682,127,485,243,518,719,469,552,954,
086,525,095,043,415,645,957,392,370,146,845,677,664,822,186,614,499,243,313,
498,409,928,514,647,936,421,199,537,737,581,013,166,529,013,303,835,621,601,
592,428,544,673,408,204,667,949,734,919,815,745,222,713,903,903,652,403,222,
406,662,857,698,732,061,409,058,942,940,595,432,668,166,323,755,383,212,529,
375,941,940,321,338,283,746,321,407,988,509,497,264,760,107,798,386,285,865,
279,604,751,382,178,715,091,766,992,551,306,084,181,843,394,959,064,118,947,
942,607,027,749,323,839,174,582,862,947,512,381,841,812,589,636,190,940,479,
758,947,268,778,453,354,210,085,959,517,990,350,495,357,928,734,595,817,648,
700,802,132,091,726,791,634,683,822,045,410,689,758,305,277,358,997,205,643,
187,308,944,051,885,053,627,526,463,684,648,067,665,784,550,117,797,464,460,
494,818,426,527,781,649,723,631,335,084,338,563,272,890,222,997,310,974,086,
721,095,218,203,857,354,339,022,199,815,399,878,380,550,949,299,418,764,911,
920,684,378,604,693,790,331,498,633,077,083,746,686,116,036,988,489,608,197,
430,451,638,371,101,374,582,155,123,528,775,010,704,418,020,264,248,447,058,
292,051,531,697,798,604,303,718,630,566,858,574,347,194,545,893,388,967,422,
920,735,525,708,117,211,678,796,282,548,072,413,009,122,875,919,238,893,781,
762,487,406,000,166,811,718,908,601,620,504,788,852,283,817,167,702,839,438,
816,581,794,942,033,545,946,991,965,413,549,961,293,547,585,189,577,207,620,
711,237,141,436,540,502,037,236,174,631,947,177,042,526,253,359,804,565,770,
283,136,478,003,015,337,135,788,587,676,011,771,675,066,354,532,242,573,505,
517,665,106,796,581,103,557,974,932,013,668,962,578,445,807,997,163,066,334,
237,665,187,870,720,671,350,522,691,142,181,500,519,941,623,006,647,427,415,
602,156,269,331,005,695,784,019,962,974,395,707,825,451,365,350,176,821,825,
447,589,429,981,416,986,851,021,896,266,478,253,356,612,867,240,996,715,669,
815,806,910,241,756,450,784,040,191,254,528,077,145,040,795,314,827,745,744,
669,516,932,263,737,296,439,940,743,921,596,917,640,482,203,583,890,284,291,
160,188,053,072,669,526,370,365,790,783,569,651,026,681,512,523,897,914,258,
619,190,795,990,368,509,097,874,928,500,079,069,976,230,632,894,656,713,418,
112,271,805,409,055,513,424,784,169,456,137,914,757,221,248,160,613,885,932,
135,150,966,634,509,898,503,257,803,803,689,547,941,605,857,444,094,325,755,
250,170,598,750,298,289,237,120,374,966,100,094,779,385,875,659,954,765,573,
674,703,448,424,980,482,133,102,224,809,140,064,500,770,413,172,685,852,659,
347,398,168,092,632,536,353,954,077,203,275,234,137,540,276,937,281,163,081,
484,053,246,043,558,943,689,440,774,535,696,523,444,829,979,634,583,056,351,
079,984,986,526,389,684,886,771,899,488,299,927,095,522,501,275,723,148,009,
796,542,281,329,294,872,176,748,931,380,750,954,471,956,021,369,992,270,708,
707,917,785,820,157,919,545,813,343,215,327,261,598,933,088,121,155,835,010,
849,344,702,335,519,236,114,961,717,731,636,397,839,601,160,470,735,993,227,
774,436,445,768,469,553,019,678,730,541,320,146,206,850,482,313,383,964,446,
107,935,072,873,697,518,234,824,029,680,370,850,076,070,517,304,912,527,794,
582,034,609,481,498,167,674,797,469,163,505,619,677,636,074,010,945,464,759,
265,849,058,988,589,895,917,352,329,149,949,211,009,887,336,474,650,920,362,
971,730,091,946,111,511,801,478,283,699,787,833,938,349,979,272,785,711,182,
424,112,416,981,776,399,015,559,373,932,827,521,365,382,986,139,135,654,617,
817,739,390,945,736,767,784,023,517,955,109,758,260,496,514,487,027,430,061,
685,397,753,180,107,555,666,259,693,900,359,908,391,205,570,788,016,665,671,
865,031,572,980,226,902,755,756,871,971,964,818,751,711,556,191,213,608,886,
225,854,504,823,463,778,198,853,013,690,720,929,595,322,130,234,123,122,536,
827,855,419,520,070,637,968,154,475,830,875,332,206,833,911,232,882,177,119,
131,912,352,321,625,450,601,526,081,290,681,327,256,675,017,853,679,259,652,
936,360,898,115,789,872,020,924,161,477,634,916,602,225,941,405,171,760,089,
555,591,726,428,456,389,767,465,874,849,993,208,471,166,808,490,017,720,061,
390,000,140,933,715,636,149,703,255,233,090,628,262,909,118,468,004,836,057,
048,616,221,936,790,795,419,189,961,371,873,681,267,334,413,978,644,049,948,
528,100,237,573,485,273,135,931,829,618,268,651,363,479,570,103,776,405,872,
157,818,832,205,881,734,197,269,944,339,198,251,036,056,341,905,635,752,932,
208,264,191,182,701,934,735,216,887,676,705,424,908,816,958,421,352,062,987,
355,781,078,850,243,929,524,878,994,315,076,825,470,834,235,714,417,980,386,
568,641,926,054,260,079,217,029,153,256,833,169,705,989,401,546,629,897,886,
198,126,955,131,267,372,729,895,041,278,514,969,858,084,662,038,248,352,506,
738,912,444,001,546,238,305,377,304,882,708,829,283,240,279,672,052,878,836,
795,286,460,610,813,494,511,019,785,715,562,214,584,346,202,524,176,712,503,
383,629,468,415,020,411,644,826,557,899,508,995,698,320,101,999,663,163,800,
591,330,344,321,003,774,041,745,393,735,494,814,149,139,494,429,281,195,072,
474,189,930,288,853,894,415,124,542,203,975,316,341,347,699,944,323,935,487,
099,215,788,385,241,336,319,724,211,551,083,300,369,512,683,184,181,413,850,
491,161,330,621,591,736,278,391,193,318,472,425,835,825,718,955,077,304,856,
717,352,634,900,150,722,953,525,817,256,437,861,350,533,922,884,867,809,549,
810,818,474,057,200,390,897,625,656,202,825,346,913,008,274,874,448,042,300,
390,732,303,930,894,538,273,666,837,360,697,835,890,236,670,436,782,622,111,
982,810,049,522,110,104,525,805,886,621,784,627,262,634,394,762,798,424,757,
135,623,189,673,829,709,351,917,331,031,090,614,109,247,040,017,143,960,713,
047,040,523,315,263,489,372,964,922,071,780,610,948,555,243,953,626,770,259,
827,700,042,628,912,952,924,925,729,467,972,822,557,105,695,307,318,782,495,
128,613,969,550,848,458,883,271,031,417,737,608,064,506,339,745,387,326,616,
838,647,017,387,476,536,414,699,061,157,073,044,286,128,206,798,537,285,902,
385,098,013,538,554,798,807,648,051,518,386,472,453,614,161,338,386,964,515,
941,035,916,804,786,476,229,649,108,378,585,007,717,455,498,664,256,871,357,
882,937,216,984,176,050,479,363,050,515,522,007,108,623,054,238,717,685,010,
189,399,118,058,067,672,780,901,778,782,835,112,502,855,740,099,400,329,843,
440,130,503,873,380,039,755,473,575,847,892,041,274,085,180,067,121,902,214,
576,792,004,757,015,066,637,361,418,847,196,953,498,576,655,299,853,843,030,
688,872,082,866,500,118,189,563,864,134,276,195,165,899,226,636,274,935,589,
924,079,345,069,594,171,548,198,559,873,720,003,285,945,769,736,917,571,922,
388,916,441,958,880,325,238,523,933,343,022,526,454,105,971,499,256,091,986,
110,109,886,309,442,455,435,156,367,177,777,997,669,212,427,339,297,977,268,
024,381,470,489,559,915,500,670,926,841,882,477,445,886,179,504,279,196,400,
085,117,950,504,999,231,673,106,913,296,423,380,352,718,227,147,873,133,989,
498,812,572,229,673,764,942,999,589,834,405,142,460,562,810,209,656,178,250,
255,009,241,902,979,647,305,311,855,374,523,496,774,398,874,016,584,063,816,
382,454,607,649,095,505,874,924,295,841,528,227,745,862,372,933,646,543,746,
832,686,204,848,244,941,678,996,642,540,607,790,305,679,682,677,677,432,004,
425,721,762,773,781,799,323,334,334,318,181,544,129,220,541,933,635,726,676,
883,505,562,314,608,067,498,998,435,653,397,604,924,426,438,061,446,277,177,
873,621,082,689,916,650,399,045,648,849,452,085,379,020,631,728,690,386,115,
846,670,955,344,170,297,856,601,155,731,250,675,766,682,144,824,939,694,338,
724,270,407,830,702,075,737,199,565,537,847,301,446,956,174,714,947,717,493,
502,982,733,522,192,144,130,874,004,313,913,321,355,445,390,553,999,777,899,
693,870,426,746,958,467,490,611,704,849,963,320,895,176,709,026,609,180,928,
111,686,836,923,658,078,372,067,030,976,789,795,225,418,160,301,211,904,817,
090,712,563,101,084,132,839,448,239,550,531,946,175,330,336,141,191,811,384,
947,386,249,121,418,620,767,264,607,363,648,999,434,948,919,243,150,118,730,
000,703,506,943,482,223,745,669,197,903,215,676,536,713,913,983,020,232,703,
050,779,061,629,569,033,615,599,997,413,943,062,192,495,707,613,988,454,654,
017,702,724,349,122,231,424,897,075,933,315,421,871,720,585,475,288,242,554,
333,408,215,483,548,013,375,245,563,105,755,759,776,310,940,067,327,404,449,
780,527,151,814,115,347,083,838,585,127,249,732,925,279,636,238,301,732,714,
334,819,507,960,901,720,327,937,657,571,910,459,853,846,105,991,277,454,665,
199,550,598,285,452,266,018,403,412,564,693,269,428,031,547,039,844,533,379,
905,331,166,893,518,699,635,672,758,139,522,129,300,410,365,867,444,776,413,
732,362,920,679,812,953,687,573,669,588,649,043,718,049,038,039,032,893,882,
694,123,258,897,528,514,499,827,479,658,809,287,350,067,840,943,587,815,132,
096,797,752,316,050,459,487,196,490,729,264,639,018,561,108,013,063,199,474,
985,194,716,772,690,720,580,142,179,669,435,087,485,957,592,414,207,218,636,
512,195,501,134,867,389,557,863,942,656,636,741,824,273,416,383,479,212,244,
613,522,386,023,599,981,422,869,615,077,191,042,603,492,585,623,133,891,970,
222,183,470,560,985,322,779,560,009,745,583,928,801,095,845,265,712,609,315,
290,859,383,359,214,480,311,224,860,562,081,293,640,064,069,166,852,638,987,
091,729,925,441,287,859,439,565,604,239,934,163,685,703,267,273,378,684,168,
821,124,966,759,183,727,761,047,959,733,042,997,000,429,492,486,032,708,281,
321,274,732,332,212,127,721,505,430,632,318,911,062,896,613,963,762,119,706,
716,081,930,190,061,330,538,013,767,958,280,118,178,937,213,445,212,243,289,
118,761,336,290,151,746,484,651,655,526,141,265,884,941,018,505,867,462,178,
681,582,602,721,131,423,217,686,650,984,960,623,487,828,203,725,951,576,174,
867,694,436,720,003,279,779,721,265,086,618,941,813,786,127,113,536,709,234,
952,491,980,834,182,678,453,791,044,009,557,091,710,363,347,848,790,371,297,
180,724,613,207,777,003,643,979,378,367,449,486,854,067,754,317,064,983,523,
759,496,327,740,636,590,703,122,522,295,728,409,362,828,519,020,978,495,274,
343,927,783,037,365,254,674,109,235,073,282,282,048,183,437,725,870,441,992,
871,608,362,169,932,083,976,331,792,872,379,720,424,174,632,820,031,627,231,
955,717,006,961,940,742,253,260,766,919,291,666,532,381,661,856,319,829,560,
158,835,464,434,142,210,315,606,341,829,876,423,970,810,847,413,200,688,228,
998,371,081,009,760,644,827,631,496,195,527,622,519,348,709,894,704,776,543,
461,421,744,106,326,760,685,007,852,046,713,930,676,120,731,016,637,954,449,
882,307,385,272,090,176,385,712,286,645,421,662,820,604,391,815,824,100,768,
863,985,398,210,698,379,394,836,041,421,478,356,251,388,202,385,966,013,035,
661,045,163,440,378,070,238,741,022,706,100,995,768,372,563,694,644,557,350,
116,874,766,767,598,556,280,338,452,528,119,988,324,817,468,712,901,120,936,
470,916,649,483,525,358,035,684,852,334,189,525,837,819,872,899,812,933,576,
710,062,634,851,188,033,585,187,517,635,405,892,464,102,906,632,262,125,201,
751,794,559,734,211,761,633,529,127,474,601,388,061,242,037,875,885,365,087,
548,228,091,877,751,764,706,215,674,265,062,959,651,127,762,020,775,002,745,
047,588,517,586,258,584,304,191,309,500,572,763,689,323,983,096,106,464,055,
055,206,957,939,102,642,472,609,044,574,562,979,560,713,797,355,402,549,022,
862,911,961,440,499,882,803,344,760,047,202,316,903,852,029,338,503,665,706,
580,850,289,289,418,136,262,646,679,178,549,549,064,946,043,847,808,377,209,
760,636,518,019,056,089,936,929,253,843,296,275,035,481,786,423,860,975,377,
604,328,979,294,939,912,100,982,098,362,328,818,732,790,069,901,634,792,829,
485,365,503,573,622,253,948,874,744,771,753,795,885,932,805,830,060,087,060,
974,703,820,232,066,188,755,570,683,528,837,488,935,894,695,055,830,475,926,
283,920,103,326,828,312,503,992,322,037,464,805,952,026,628,817,197,121,015,
054,087,526,777,811,082,678,982,942,916,434,259,344,443,784,250,653,322,433,
637,171,740,679,000,137,248,685,824,323,122,819,089,369,549,378,390,307,261,
321,906,933,984,894,543,876,588,730,140,159,029,829,561,433,586,983,698,464,
461,219,963,092,486,301,146,718,341,769,374,023,713,035,657,134,094,925,458,
033,361,407,613,006,399,763,154,372,412,360,661,172,396,580,299,232,931,140,
960,023,360,552,400,083,738,506,821,917,359,664,677,431,097,415,862,425,002,
473,300,179,083,583,257,314,367,690,230,174,864,203,161,256,214,796,886,497,
899,176,115,070,406,956,274,384,627,140,240,100,548,453,235,450,352,137,819,
529,762,669,321,455,712,208,960,477,977,801,569,118,577,359,391,231,165,072,
480,495,364,062,317,044,477,873,253,650,268,845,377,287,791,685,201,658,395,
655,238,787,225,752,017,822,664,675,122,904,827,977,581,885,279,363,989,891,
552,444,352,321,786,666,769,077,974,094,298,389,470,078,911,780,389,028,895,
254,842,143,335,877,486,292,070,286,036,702,385,081,414,949,023,021,467,096,
190,515,281,998,525,708,264,147,627,628,352,886,463,535,319,855,067,085,314,
823,481,180,718,974,411,408,644,110,121,469,476,839,795,846,462,086,078,115,
014,598,253,685,170,895,047,063,340,685,247,038,059,004,888,932,369,887,307,
048,041,602,445,417,960,663,749,671,295,422,436,550,693,135,098,034,671,157,
563,741,063,662,629,660,802,101,395,321,787,757,904,816,449,103,933,283,026,
426,913,145,736,608,893,687,586,775,624,847,478,478,868,723,292,966,369,523,
360,897,973,831,520,942,480,394,534,408,720,206,128,105,919,080,789,106,952,
150,385,857,900,455,603,951,804,058,953,441,314,283,918,826,775,932,108,394,
663,267,629,866,202,206,363,587,589,626,212,306,367,421,940,127,792,487,779,
353,900,580,729,916,475,191,347,436,263,365,185,145,024,777,395,661,842,043,
018,020,677,168,672,760,723,348,507,728,570,110,556,572,860,907,730,066,553,
036,973,645,310,193,431,756,941,627,547,490,049,883,551,027,782,418,905,923,
070,869,104,794,620,052,692,034,368,722,797,824,586,468,470,670,521,441,418,
327,226,201,998,395,043,924,608,208,879,846,636,664,169,471,537,872,737,642,
251,614,200,562,141,708,117,606,112,604,777,162,882,157,073,477,144,783,316,
840,708,564,362,046,837,556,599,919,222,766,942,166,387,745,640,749,191,089,
130,973,149,166,700,354,595,730,271,464,834,800,365,653,467,472,090,457,180,
863,041,529,816,753,314,500,424,218,455,723,203,407,213,925,879,240,031,581,
479,346,627,936,357,130,129,393,701,271,348,593,253,490,717,909,195,108,482,
634,074,681,587,528,429,958,164,116,761,779,022,750,219,102,213,637,437,107,
881,034,610,764,564,795,174,431,820,683,442,447,471,502,741,257,024,409,062,
417,823,843,138,516,955,323,889,327,242,648,332,293,860,381,002,450,453,942,
011,044,149,674,142,188,084,460,672,688,895,070,221,605,491,727,380,123,342,
586,368,127,227,502,801,651,068,862,639,766,129,388,628,766,053,552,438,950,
888,186,071,013,423,199,534,805,230,937,616,430,351,592,113,694,141,551,421,
670,074,247,461,307,517,478,233,919,324,323,956,013,257,423,208,987,460,004,
773,082,227,349,534,504,182,391,476,328,608,746,912,587,802,839,602,739,115,
970,057,185,824,156,727,496,330,437,847,353,287,214,170,803,787,026,376,735,
168,911,873,115,687,340,991,620,256,058,276,819,998,326,464,509,605,203,073,
147,034,777,920,900,637,122,850,665,589,395,149,133,606,603,516,053,615,289,
358,306,432,525,439,895,396,382,575,274,919,423,374,358,141,581,708,694,036,
956,135,111,328,817,737,295,586,545,954,863,523,982,335,108,770,495,466,436,
117,808,366,717,578,079,405,976,767,441,382,042,695,222,550,388,935,068,840,
880,682,961,174,640,000,379,179,885,013,866,463,759,177,627,575,060,294,992,
147,786,464,700,278,835,212,616,071,060,360,974,397,123,511,085,815,362,059,
981,225,302,456,900,914,465,743,172,047,973,000,744,587,242,420,702,474,849,
855,391,416,509,833,919,703,935,163,312,328,186,530,349,319,706,922,552,752,
905,397,308,711,538,806,648,142,342,948,641,401,683,372,314,372,311,590,693,
907,077,234,391,565,474,677,485,522,564,125,954,210,749,965,719,128,620,531,
684,610,736,147,840,942,309,070,375,135,307,471,424,211,302,342,170,326,414,
807,432,468,371,586,838,930,396,960,212,339,510,481,034,800,702,896,907,933,
442,685,686,407,951,869,985,042,942,875,873,236,315,946,227,787,555,009,301,
179,954,626,580,806,157,382,161,621,366,945,627,261,243,327,711,473,219,836,
556,688,060,861,127,732,683,840,881,295,689,954,238,192,980,864,560,239,211,
184,547,015,137,634,126,490,943,249,270,012,454,166,932,194,185,168,461,930,
113,967,581,181,663,012,175,905,698,480,053,290,112,551,967,144,103,005,414,
173,005,351,589,707,019,162,071,557,201,968,967,028,315,771,144,776,790,201,
179,017,064,561,761,294,309,632,814,960,760,594,413,288,239,370,676,144,369,
608,166,698,380,511,388,518,796,419,217,249,313,968,640,289,305,292,078,278,
770,999,722,866,710,818,902,954,106,610,237,839,760,547,391,290,211,665,561,
166,405,589,032,554,349,645,614,076,355,635,476,593,330,242,483,293,740,960,
300,444,686,499,266,870,870,839,212,313,577,671,442,414,716,513,759,418,892,
868,644,172,574,696,852,151,561,382,759,324,698,933,574,661,130,826,579,600,
795,443,853,641,799,502,025,721,867,073,112,787,270,668,149,287,941,662,694,
148,403,226,770,616,870,956,289,477,576,597,546,804,828,858,228,195,834,492,
201,900,798,357,769,599,370,825,623,649,090,736,423,156,824,017,184,974,562,
572,481,918,359,703,698,966,194,484,557,747,098,780,652,782,162,629,585,470,
668,011,782,709,621,305,752,281,781,886,522,189,962,872,581,793,330,683,013,
032,662,277,180,885,810,134,976,999,429,045,077,483,354,238,145,716,541,141,
441,758,941,622,479,132,299,112,484,161,466,377,122,431,043,664,223,418,245,
886,941,781,312,699,721,674,673,581,105,408,419,154,480,135,188,104,349,275,
149,697,865,483,993,039,277,344,830,749,391,693,554,671,774,050,403,593,161,
912,926,441,843,531,405,290,571,871,767,588,065,840,456,978,490,533,222,500,
005,859,606,840,231,140,424,254,189,440,331,994,385,666,922,230,308,229,811,
539,852,158,600,554,020,637,476,350,734,891,187,303,362,006,971,790,710,371,
699,369,941,127,696,097,682,485,722,688,122,923,542,612,570,242,977,397,097,
341,299,907,032,123,915,221,850,904,966,290,634,772,463,632,610,930,284,268,
242,771,356,942,083,963,022,866,662,825,300,072,582,538,959,676,102,272,385,
549,466,041,590,502,985,664,961,321,989,901,433,196,376,184,967,670,898,897,
211,447,561,400,400,251,961,809,306,780,577,752,518,339,384,089,206,766,840,
661,139,292,715,688,901,748,282,007,985,492,454,364,998,051,933,714,800,344,
078,785,596,243,293,766,509,920,819,327,059,827,378,057,084,798,241,059,847,
462,600,061,597,682,889,090,428,724,758,758,209,665,992,489,072,451,486,030,
261,954,245,084,196,764,452,079,474,315,437,363,527,311,827,632,332,833,933,
416,868,413,612,928,110,324,993,352,271,645,288,501,973,849,572,077,281,769,
241,563,927,116,689,360,795,314,935,663,422,094,862,764,850,585,766,774,160,
139,378,120,386,000,361,425,050,266,970,394,516,028,754,309,445,517,009,083,
259,300,284,911,769,885,802,150,102,218,150,208,234,670,153,463,095,677,189,
559,429,676,176,787,686,412,751,126,982,985,376,543,136,145,861,252,427,452,
927,360,800,422,300,828,434,205,507,418,198,961,284,456,148,612,437,624,613,
946,811,699,828,416,010,489,564,795,488,563,929,321,115,742,091,423,855,640,
463,280,945,177,424,674,865,470,107,774,005,731,399,946,809,670,505,108,249,
626,936,775,620,687,453,577,940,332,272,173,714,066,509,940,706,961,616,197,
501,988,243,607,064,334,544,109,496,869,612,351,823,533,095,190,855,622,562,
457,314,437,121,922,032,198,712,807,667,980,012,851,267,115,248,043,173,781,
940,516,488,139,197,437,078,876,590,882,855,623,574,300,865,895,495,864,721,
299,894,704,332,328,309,901,270,682,118,572,674,036,931,076,490,462,285,682,
303,674,029,633,933,627,030,021,248,960,816,219,868,929,009,439,493,418,068,
889,996,841,121,802,576,897,931,435,997,980,041,193,269,440,255,055,837,315,
711,408,012,643,903,285,253,279,958,734,972,030,148,347,401,603,568,578,607,
010,715,811,438,208,650,539,434,669,960,985,543,620,693,847,326,577,005,576,
221,915,588,622,125,483,470,618,653,687,999,997,571,978,548,574,284,646,877,
641,382,265,810,218,937,047,201,399,355,374,394,981,207,168,894,931,103,964,
066,315,149,899,033,245,736,553,487,131,536,993,341,990,512,980,487,284,685,
947,691,629,369,283,179,639,561,696,865,377,793,640,408,766,665,784,646,376,
542,567,655,339,330,644,516,863,505,570,575,529,953,174,393,616,767,567,478,
108,439,540,497,712,957,975,847,283,029,147,601,573,674,811,273,724,417,386,
249,259,991,546,454,292,268,926,984,751,943,568,056,308,233,369,610,058,553,
909,648,006,003,024,763,802,975,884,274,887,720,312,644,261,839,231,167,926,
258,331,447,621,937,020,611,548,648,748,040,948,467,970,893,816,921,556,978,
494,611,373,506,172,909,336,092,802,084,434,910,561,047,578,995,375,962,162,
159,268,242,706,943,428,851,851,406,553,627,376,421,516,169,130,051,154,326,
001,122,823,809,110,661,407,274,625,581,398,448,680,609,829,101,950,827,736,
901,057,824,953,508,169,047,143,195,951,602,538,655,219,274,119,419,680,432,
794,186,049,651,643,061,981,567,465,789,526,816,834,183,293,970,896,589,270,
555,964,522,654,618,423,881,041,858,046,521,738,269,555,360,034,561,933,032,
924,102,936,895,274,066,416,755,585,978,929,686,032,774,643,119,199,622,151,
841,511,848,855,959,153,881,999,733,117,055,572,788,635,632,831,704,334,479,
654,936,927,258,763,615,260,371,777,621,604,174,826,748,351,028,551,882,811,
180,690,163,809,905,351,055,686,755,873,845,103,644,898,896,423,776,680,469,
956,824,402,417,926,092,380,423,771,731,044,011,430,776,047,507,561,662,850,
697,964,419,154,171,974,516,868,503,710,755,199,490,017,564,954,626,358,865,
743,315,256,152,823,835,283,107,605,900,621,107,153,080,024,077,762,478,485,
533,835,617,637,921,763,755,100,480,885,175,448,373,185,858,469,615,045,839,
830,008,216,409,614,675,001,824,331,753,379,393,138,749,519,515,966,159,570,
533,434,162,386,852,641,417,748,350,964,227,110,234,734,433,464,644,467,088,
311,600,410,159,249,826,088,428,367,699,350,620,941,222,897,440,180,039,678,
393,160,769,382,074,366,906,885,599,338,536,245,144,078,618,544,094,443,484,
184,439,660,577,175,484,264,617,554,423,114,860,896,699,491,618,497,098,522,
466,177,425,220,513,016,424,927,622,623,249,399,976,073,656,967,319,151,284,
989,010,741,375,849,990,047,148,649,007,457,837,553,385,565,240,885,195,437,
059,725,295,019,782,771,655,553,446,992,194,538,856,299,735,192,516,928,467,
247,966,004,482,036,811,852,684,622,837,059,340,275,911,778,667,436,733,708,
338,225,434,788,346,475,665,385,897,390,200,095,568,255,582,505,045,762,098,
337,312,715,848,335,873,103,229,870,114,919,122,355,819,108,983,508,294,336,
910,407,627,284,361,734,230,078,614,071,756,063,341,682,196,000,386,868,679,
205,544,269,030,202,327,531,602,961,376,836,139,874,141,470,046,588,379,773,
332,017,647,438,925,975,629,990,869,354,857,996,855,486,367,522,583,583,629,
253,790,417,634,008,378,790,464,734,674,397,835,477,639,210,492,347,302,019,
880,711,750,178,257,631,386,246,883,104,662,624,509,896,954,576,398,276,852,
073,501,592,604,367,220,923,063,569,586,718,841,730,554,419,987,135,862,309,
109,906,402,590,424,693,369,170,480,272,142,642,497,196,276,368,472,729,066,
699,644,161,079,781,158,841,083,078,095,448,162,788,984,433,584,419,355,719,
294,907,047,712,654,631,193,788,643,736,202,053,336,680,457,935,406,075,239,
498,995,548,471,868,124,254,370,583,867,229,344,084,856,726,680,098,472,688,
334,121,670,543,010,267,181,179,561,511,239,342,572,328,198,279,497,409,559,
559,716,297,027,746,052,774,772,555,884,340,855,081,922,284,156,148,226,379,
166,556,547,717,367,364,077,357,977,653,085,183,346,782,531,053,267,354,689,
671,842,725,387,493,697,066,561,082,353,474,218,872,071,102,544,232,932,306,
127,768,012,214,756,297,640,688,680,523,013,298,127,854,552,903,870,521,703,
485,198,338,595,750,452,844,406,398,328,522,428,636,336,125,313,436,887,129,
534,786,900,252,519,144,226,382,948,166,972,331,089,877,511,709,240,400,730,
433,511,756,941,703,938,956,443,761,938,140,809,736,996,791,016,018,561,008,
676,090,779,598,337,312,462,699,824,255,215,077,755,981,744,605,916,545,674,
231,140,551,477,478,236,832,056,831,394,827,303,926,620,254,261,972,533,977,
757,169,448,210,019,323,310,365,447,691,192,525,795,830,432,012,809,444,859,
633,608,690,339,329,224,226,866,241,113,536,050,181,372,927,724,331,416,621,
718,294,212,789,460,837,040,049,146,123,391,147,536,023,824,467,795,262,461,
576,979,113,026,102,736,146,311,186,509,993,701,835,884,833,691,555,566,607,
699,394,110,794,416,437,688,024,152,772,366,403,599,440,288,638,055,345,671,
767,959,419,951,706,403,128,064,597,209,800,692,992,440,057,526,019,493,224,
219,607,469,752,404,669,801,762,857,245,177,004,740,672,419,532,307,731,680,
694,682,820,739,987,711,683,556,546,802,076,214,095,273,075,543,781,861,600,
539,170,357,352,737,936,988,080,513,898,354,287,768,689,612,230,544,414,943,
866,525,406,733,532,958,979,279,679,655,782,648,161,784,944,129,833,827,323,
212,905,886,844,611,505,583,889,763,409,298,089,582,881,818,252,672,661,114,
185,904,839,452,635,331,787,585,212,451,616,975,987,586,078,387,734,146,233,
433,386,913,874,043,247,698,391,020,497,880,636,789,151,305,963,907,449,015,
301,238,546,443,097,158,621,965,476,473,323,540,732,588,576,958,196,365,785,
328,311,120,791,008,250,282,373,982,302,280,079,768,808,897,085,489,999,978,
777,670,121,313,883,722,820,408,335,207,228,341,541,464,366,120,368,913,313,
706,253,811,091,872,239,333,346,890,176,137,286,255,516,166,022,847,155,545,
408,673,161,712,919,098,415,767,036,210,136,532,270,252,567,185,935,933,981,
792,905,532,927,454,731,594,628,407,408,905,866,814,804,249,652,343,820,737,
542,048,745,204,469,010,382,739,766,510,790,148,933,814,990,527,987,153,191,
144,634,037,092,213,661,480,777,110,342,057,066,867,364,795,814,955,035,678,
178,925,697,172,767,124,879,241,789,119,316,371,906,083,153,225,558,735,685,
163,553,291,717,873,291,352,886,165,849,159,871,055,727,240,590,519,177,578,
853,653,062,480,145,903,137,877,045,748,106,200,722,582,949,432,930,013,400,
923,340,418,159,511,205,239,076,115,123,550,831,336,769,619,118,680,526,992,
850,629,113,460,625,224,049,608,174,761,565,510,552,337,007,504,242,138,025,
892,209,757,691,433,084,109,260,677,715,627,053,370,948,601,199,506,073,446,
102,035,178,919,626,166,064,472,329,373,559,305,712,035,085,930,692,070,796,
732,259,697,537,632,369,870,909,605,444,671,936,005,927,791,719,387,029,316,
935,309,328,552,816,376,376,539,631,404,656,128,766,097,128,192,695,076,531,
260,751,172,190,631,550,023,195,871,478,511,078,664,240,683,381,412,490,573,
564,446,440,299,073,494,613,771,600,539,638,297,511,324,924,253,578,529,659,
296,385,553,097,452,432,196,279,105,852,121,045,856,496,368,046,827,364,240,
706,918,873,085,664,846,855,853,241,161,238,622,213,637,133,973,857,560,933,
667,733,257,415,633,473,399,852,135,849,955,215,808,114,064,581,078,564,722,
263,720,623,621,510,460,423,310,067,982,074,439,437,240,642,945,650,281,572,
020,094,302,728,081,123,789,816,152,109,607,206,959,822,697,252,127,652,614,
283,862,622,382,677,129,263,043,850,870,287,974,163,269,676,550,520,830,368,
660,233,430,664,285,847,228,055,645,537,692,502,766,768,492,677,476,720,153,
991,814,657,028,154,642,034,956,283,998,522,580,392,490,144,984,613,084,589,
040,881,677,033,997,535,352,118,274,220,956,842,899,660,151,007,580,296,846,
714,915,807,446,835,300,462,825,500,368,525,937,878,022,084,894,539,596,912,
442,685,989,376,260,411,334,410,709,937,640,931,396,407,798,790,556,812,294,
056,799,696,891,218,398,496,279,302,070,244,657,918,622,194,261,656,693,318,
125,519,298,404,440,225,949,214,920,066,884,918,635,851,246,402,169,675,696,
150,168,303,055,606,864,773,589,304,565,794,745,131,804,629,329,972,953,794,
987,169,029,625,069,826,636,334,780,054,935,162,583,264,445,355,617,294,183,
838,845,388,166,644,839,206,018,338,227,079,258,334,344,264,207,586,869,108,
291,127,912,861,779,186,532,401,192,736,396,823,042,518,327,780,919,167,967,
001,689,456,465,927,206,304,565,734,349,378,853,140,566,027,244,749,853,124,
904,339,771,202,842,091,487,195,530,502,796,994,741,791,743,791,396,122,129,
865,866,881,845,656,687,857,795,850,656,490,341,987,072,636,663,268,886,969,
039,140,010,572,702,084,813,289,568,496,752,188,701,088,059,740,118,086,270,
243,243,525,876,880,743,995,490,272,866,528,797,087,174,407,118,064,563,449,
783,599,170,373,394,326,471,406,794,359,805,860,998,541,440,044,424,184,040,
878,963,292,174,839,883,999,767,073,691,624,678,869,600,688,096,153,816,536,
565,827,158,835,895,946,593,394,611,051,391,651,225,757,233,944,716,808,538,
603,334,597,044,336,644,312,938,132,992,217,047,006,267,876,126,644,527,571,
972,558,831,822,814,896,128,554,642,515,681,768,088,596,535,919,049,879,277,
699,422,308,011,534,000,954,119,742,429,467,383,170,119,574,889,763,971,777,
123,584,869,761,009,075,309,759,401,201,776,700,302,197,336,189,153,862,950,
368,009,625,393,990,260,398,824,689,702,363,744,763,787,836,000,738,268,570,
676,443,246,264,320,652,330,633,986,740,318,331,499,702,319,357,354,168,507,
573,342,303,876,530,651,693,776,539,539,262,297,071,405,246,526,746,938,565,
329,142,943,646,172,464,089,628,361,288,465,689,458,220,175,834,662,408,304,
491,773,164,843,577,332,428,984,927,162,574,746,929,367,894,258,023,050,018,
367,693,917,102,133,495,243,251,631,960,641,881,436,432,538,549,916,222,293,
675,406,467,321,004,565,942,152,292,291,897,478,462,014,769,384,442,634,196,
880,860,978,710,390,440,414,575,215,502,389,465,324,289,194,167,462,998,120,
533,736,162,986,599,404,425,240,751,839,715,655,339,052,230,510,314,694,731,
406,388,553,178,787,804,437,654,220,346,590,647,743,116,932,023,907,390,039,
990,174,585,386,221,714,173,764,221,864,308,822,695,756,918,196,391,380,756,
949,533,050,167,442,853,760,281,245,487,710,141,867,856,549,008,686,923,040,
159,957,956,827,895,004,774,446,348,788,028,250,410,223,118,298,429,722,785,
371,019,816,823,809,284,840,668,368,581,433,519,883,871,739,342,200,236,763,
081,325,174,666,835,500,658,727,896,500,352,744,736,468,905,634,483,786,297,
274,140,540,944,980,953,787,567,168,852,665,223,595,549,275,309,952,509,368,
452,148,344,369,418,880,357,127,818,570,300,714,975,459,413,093,550,558,237,
325,346,703,383,427,669,219,550,154,398,842,408,229,735,779,557,253,602,535,
736,119,328,673,158,881,844,698,639,858,537,392,557,884,031,811,221,613,548,
570,774,289,406,446,326,234,955,261,153,031,872,486,512,237,959,864,910,431,
780,224,095,280,413,623,569,469,680,595,686,072,526,931,464,953,060,139,076,
451,468,100,737,344,750,139,684,187,771,034,175,957,509,778,513,970,876,627,
602,785,868,702,081,076,189,290,748,062,969,859,495,903,883,141,975,478,303,
806,386,046,766,929,751,264,937,906,072,686,194,602,127,119,006,818,271,897,
136,743,610,190,008,638,416,134,298,234,850,108,113,295,299,558,520,497,722,
526,489,610,559,406,428,884,228,192,890,001,895,274,736,842,550,705,615,166,
893,225,018,781,745,314,542,548,927,043,228,368,611,237,432,940,275,231,030,
780,734,931,826,183,354,039,746,900,361,905,486,892,489,449,820,274,422,730,
376,262,797,316,699,276,219,484,164,108,654,528,232,553,164,136,994,282,576,
139,552,610,380,840,298,538,998,999,640,054,601,653,160,244,524,328,768,940,
287,822,395,577,376,821,830,257,630,251,229,244,355,464,808,952,803,300,271,
882,055,247,454,655,455,955,684,480,108,346,437,547,181,069,139,266,561,777,
102,609,496,274,879,830,430,166,009,844,820,165,215,236,925,462,257,303,816,
846,132,782,972,888,851,464,635,079,986,596,079,066,901,582,592,608,200,248,
669,353,109,054,079,298,031,202,716,690,753,477,341,349,972,099,133,032,737,
211,276,446,887,106,682,394,710,224,907,039,537,743,292,475,046,548,871,710,
753,488,229,049,041,896,378,501,399,581,057,429,174,557,653,813,507,438,651,
710,242,706,604,783,503,160,761,054,778,824,416,841,133,425,154,568,486,384,
441,319,553,022,826,673,176,775,122,671,991,707,988,350,335,523,839,997,332,
850,288,330,407,052,705,283,590,793,710,124,902,630,301,854,414,653,244,393,
715,279,283,821,838,008,593,684,391,088,637,646,718,228,515,418,254,766,013,
429,703,696,589,428,132,221,489,175,296,431,431,980,669,390,688,490,848,295,
701,412,475,085,329,923,869,845,286,331,181,148,661,438,086,214,069,371,290,
062,817,254,035,062,482,757,975,658,922,806,698,331,724,681,653,013,062,866,
413,125,849,844,121,928,029,876,417,062,973,533,091,795,999,123,990,275,174,
878,637,502,979,012,546,049,823,010,015,000,502,554,415,606,442,044,795,798,
117,495,811,193,189,890,163,290,095,025,156,494,094,325,075,255,392,599,764,
647,179,903,827,148,554,300,343,795,608,711,633,122,097,130,163,853,880,983,
225,263,089,395,023,408,084,088,230,638,625,533,467,463,945,853,468,718,239,
399,205,515,467,810,630,308,870,499,588,241,890,303,958,330,075,393,977,678,
031,617,428,381,195,837,106,208,847,565,617,228,909,084,410,196,412,438,407,
756,659,997,840,059,316,540,006,502,849,952,387,090,167,123,979,362,304,266,
626,718,591,860,162,226,173,786,171,085,242,228,307,672,578,388,889,715,616,
411,010,561,273,983,372,405,530,694,106,786,716,282,753,022,012,073,350,471,
176,171,328,751,543,518,762,282,737,564,020,826,859,114,464,656,323,725,819,
493,491,371,150,828,639,517,211,991,674,973,856,638,404,486,078,542,906,185,
804,904,326,499,332,008,331,918,305,960,589,093,387,659,707,131,222,461,417,
458,049,248,192,111,306,095,973,029,110,566,428,646,554,957,374,741,999,645,
549,035,147,988,024,178,183,848,044,867,860,084,379,756,015,847,200,802,265,
460,710,289,683,251,898,507,596,690,186,252,608,621,789,582,044,562,544,837,
036,731,035,847,585,034,070,049,551,772,360,334,860,072,851,052,030,290,669,
442,076,217,501,733,001,001,584,164,561,404,171,495,152,191,758,429,259,607,
006,688,915,878,276,071,571,425,224,182,499,478,356,855,867,722,300,960,055,
704,303,509,431,390,708,721,017,589,707,919,214,402,841,550,903,711,103,586,
240,265,004,563,125,531,013,329,379,899,822,779,562,709,686,678,549,295,692,
531,911,557,182,423,000,569,467,937,719,971,929,288,443,209,274,379,390,845,
943,660,176,152,429,165,605,463,678,833,662,410,117,871,336,539,498,830,896,
978,856,321,918,996,220,507,259,728,820,644,775,893,858,128,183,644,915,692,
358,130,369,570,306,955,241,108,080,523,432,834,252,540,030,959,852,907,242,
751,874,996,145,368,901,036,351,681,533,346,829,753,056,978,582,138,659,835,
014,889,949,564,089,317,216,436,127,775,689,835,432,915,705,014,945,215,799,
306,302,317,984,464,942,457,043,677,561,862,474,500,733,211,364,340,634,780,
755,495,329,760,307,421,627,076,189,660,073,508,293,223,113,555,252,353,855,
940,975,738,170,949,930,334,560,625,648,230,697,905,827,021,005,999,519,727,
155,547,793,543,914,851,141,035,434,807,801,479,232,160,588,833,453,704,161,
582,007,904,684,907,258,563,104,229,699,834,807,273,391,495,019,843,628,372,
719,450,489,208,015,895,114,139,320,978,196,958,465,786,368,664,880,361,379,
176,141,898,284,349,717,125,522,044,532,263,905,664,535,253,845,327,776,874,
865,417,209,980,481,181,384,276,788,030,647,984,527,551,973,776,847,818,875,
710,904,362,315,272,020,106,152,635,288,713,511,458,544,902,632,932,717,863,
628,653,256,161,973,916,095,510,784,024,260,807,873,858,454,492,147,677,823,
138,163,384,140,507,519,776,729,373,328,973,776,683,545,045,274,829,144,999,
166,376,592,237,126,757,331,668,734,753,228,658,663,381,842,218,791,191,434,
077,901,637,604,204,498,830,126,875,022,486,785,587,128,599,144,131,525,737,
563,996,243,494,297,753,614,710,634,653,009,041,678,551,256,392,088,963,839,
561,192,304,278,725,037,252,863,830,806,844,310,997,795,030,995,731,236,321,
483,899,639,509,288,759,352,619,340,956,550,146,355,964,313,218,655,523,570,
729,353,544,039,568,489,616,003,790,358,159,559,523,605,260,737,083,619,448,
148,029,746,727,296,840,142,223,275,436,594,500,452,443,898,143,959,414,586,
283,658,269,938,701,209,538,541,995,206,848,350,260,171,436,617,382,864,100,
894,172,372,865,519,274,796,335,234,865,882,885,824,318,920,004,417,771,880,
996,407,097,551,793,590,809,653,223,410,308,889,815,170,188,011,423,375,447,
164,555,463,548,525,178,699,767,963,807,412,957,065,873,029,240,672,732,874,
350,184,767,147,044,231,251,573,173,498,345,746,577,844,905,029,814,923,171,
610,319,213,411,404,518,234,938,075,047,267,670,330,402,596,740,973,580,618,
452,028,196,548,352,903,734,570,905,891,029,282,450,274,127,280,432,774,856,
045,953,254,391,105,702,599,993,299,837,805,235,867,582,184,025,054,689,390,
403,925,962,478,459,776,229,060,193,194,036,734,778,102,614,513,791,211,875,
246,744,441,335,234,001,044,585,480,029,407,540,146,426,367,362,530,224,210,
079,887,745,158,567,976,579,185,217,224,435,636,995,832,381,473,205,041,247,
541,660,627,813,781,817,870,405,881,525,888,048,111,895,717,590,537,507,533,
412,107,671,816,290,812,025,700,386,689,874,392,322,251,781,279,983,617,308,
934,396,541,116,783,187,199,130,793,346,959,060,684,794,077,734,117,812,519,
671,122,714,273,479,440,181,217,090,251,254,491,086,793,611,928,670,130,853,
106,082,664,808,914,355,729,526,651,022,020,354,472,996,826,046,845,164,300,
203,090,658,087,547,956,666,290,473,803,493,297,574,521,405,481,170,733,207,
487,532,970,618,007,249,954,976,782,008,207,323,053,751,263,793,815,051,786,
671,547,288,100,406,768,058,014,834,816,465,984,733,333,284,721,067,374,437,
881,870,066,554,609,684,609,846,255,451,902,727,972,456,044,211,659,640,261,
615,635,482,174,705,112,505,658,968,340,412,962,581,946,202,445,251,056,329,
136,177,000,928,999,577,834,122,204,382,756,328,923,199,699,187,304,347,779,
311,834,523,451,799,952,555,558,115,651,486,977,384,881,361,494,857,104,451,
060,796,479,320,390,749,324,355,288,375,352,673,871,521,978,786,608,240,270,
207,306,535,961,316,840,351,658,862,183,893,586,917,570,638,819,952,225,782,
772,310,458,449,401,955,846,654,592,936,457,464,214,222,072,079,880,954,370,
280,719,497,708,602,141,230,240,897,631,910,423,527,101,562,298,178,978,270,
364,103,339,302,338,365,920,741,606,363,916,997,415,482,848,431,241,302,244,
972,795,404,621,458,662,896,634,859,099,748,359,473,797,004,401,706,370,620,
711,815,017,607,558,613,945,135,762,928,224,157,894,771,760,121,113,574,774,
894,393,672,375,903,536,323,863,252,780,892,394,817,399,127,292,808,845,432,
957,007,917,553,301,926,411,633,258,156,179,088,114,229,190,011,195,611,122,
111,556,377,532,215,826,039,183,317,253,896,207,228,752,128,711,279,540,385,
466,742,864,226,529,229,081,324,103,757,572,939,687,668,409,129,041,942,354,
835,313,045,044,169,858,543,475,692,581,101,233,831,007,007,561,129,646,135,
575,754,480,684,496,089,324,391,436,464,607,311,655,835,479,718,862,242,285,
948,193,562,410,461,971,096,005,921,178,418,245,371,800,778,672,863,790,821,
187,305,181,849,257,459,824,126,337,012,785,958,184,198,798,873,106,950,430,
412,472,161,182,856,056,770,844,864,660,541,417,368,942,678,895,031,612,685,
727,046,813,616,550,544,752,935,437,360,001,677,004,853,750,279,256,779,985,
188,974,717,066,011,528,001,239,512,735,997,681,297,835,674,629,757,720,862,
193,374,918,164,778,941,441,246,405,799,774,067,381,849,946,698,774,857,950,
589,584,498,857,118,164,247,075,093,345,851,476,715,273,953,981,403,423,440,
254,139,129,017,316,139,867,747,864,995,882,304,293,582,137,615,377,367,453,
184,857,352,981,377,731,273,296,102,824,409,984,323,112,508,295,542,707,047,
926,877,041,045,982,163,717,598,325,300,369,723,795,857,487,695,056,925,624,
008,340,083,019,629,847,610,958,733,154,681,963,634,316,411,570,370,803,187,
066,783,126,544,842,125,880,223,522,452,957,585,035,858,918,177,135,904,010,
559,692,583,561,547,898,990,375,901,625,519,099,327,894,657,224,384,384,363,
272,346,515,072,993,634,849,418,904,737,331,858,535,269,133,223,982,693,748,
601,209,905,324,546,941,646,806,300,979,290,139,487,786,547,749,460,505,405,
685,792,187,655,111,010,456,111,241,212,338,898,411,382,066,569,150,363,984,
475,291,998,877,848,605,154,852,197,461,137,329,432,018,503,140,055,289,706,
180,794,267,849,287,524,092,248,903,139,768,021,144,292,566,965,689,984,847,
142,686,246,527,631,285,803,145,636,672,261,168,298,382,223,144,506,908,567,
707,356,414,962,600,101,297,330,888,073,507,592,526,708,461,967,948,647,909,
782,357,306,944,668,119,133,151,579,637,005,937,325,999,408,789,448,033,622,
497,057,754,722,946,375,128,632,737,964,084,233,890,082,060,883,706,264,147,
379,035,626,912,178,471,383,927,748,927,742,654,398,723,684,100,372,298,290,
361,640,764,134,370,698,688,778,272,696,256,839,185,157,359,111,006,225,356,
840,212,555,850,294,367,830,892,295,646,609,452,419,398,185,385,776,129,409,
508,666,529,150,979,180,883,791,803,211,422,183,963,004,688,838,883,624,641,
400,902,245,170,336,979,651,838,194,656,569,090,277,943,970,130,513,123,540,
616,944,944,181,411,561,576,693,959,617,938,529,719,409,517,491,643,598,398,
975,296,323,845,335,215,295,246,999,341,152,846,579,822,238,769,326,359,497,
382,776,453,823,775,207,784,666,453,868,511,692,222,647,980,073,729,288,885,
238,776,778,444,677,889,194,094,260,001,632,948,547,485,273,421,136,131,509,
748,558,205,792,141,033,321,977,117,575,959,830,290,048,701,505,354,973,876,
227,738,903,173,645,828,507,772,152,785,593,784,387,492,623,639,397,167,041,
726,060,078,344,012,726,237,608,081,527,770,413,128,605,117,254,122,934,942,
529,650,334,848,770,810,014,866,539,841,785,018,234,689,960,333,418,857,547,
362,864,661,995,651,136,803,740,981,127,704,304,296,945,933,346,626,771,474,
845,470,227,306,820,411,148,294,564,301,868,583,374,439,841,225,430,985,235,
484,052,691,038,227,711,343,396,630,271,188,686,801,679,557,406,467,046,153,
576,126,695,228,304,137,362,105,800,552,463,318,407,617,384,051,585,066,271,
615,754,221,479,274,058,284,744,269,582,007,828,623,439,089,016,320,474,825,
142,484,391,356,645,674,683,145,397,287,721,590,536,880,387,264,912,753,283,
210,436,699,507,381,955,427,517,638,483,829,776,497,343,366,607,193,836,782,
357,870,080,175,416,167,564,046,702,487,546,566,362,967,221,825,467,226,431,
765,891,211,962,299,473,400,865,603,613,952,634,743,079,439,792,019,800,034,
817,427,147,347,809,296,163,581,387,133,805,214,345,174,355,376,890,856,694,
107,738,849,007,514,493,837,372,052,488,829,614,902,272,206,757,486,111,355,
166,854,210,414,712,871,509,351,358,143,381,724,173,239,091,247,273,193,365,
241,645,559,420,821,186,099,178,758,068,278,277,897,544,039,237,656,950,618,
122,059,922,822,580,285,529,860,116,788,160,361,827,075,472,295,088,983,513,
557,549,984,612,984,224,437,732,105,398,428,777,823,350,258,055,871,360,384,
192,060,410,615,050,272,499,775,091,346,617,819,105,987,336,158,050,466,599,
717,459,140,627,659,610,862,617,989,754,307,874,758,846,396,951,117,329,471,
642,533,842,056,617,765,927,421,196,087,167,322,639,912,659,142,146,918,716,
378,208,023,017,223,916,049,750,423,874,333,241,554,802,093,268,186,334,917,
100,098,482,168,870,758,607,018,740,734,776,852,893,267,027,457,980,844,790,
598,088,220,846,476,827,185,321,472,610,718,169,077,370,592,594,957,033,158,
121,296,373,012,391,151,918,178,896,448,164,127,098,282,738,672,579,567,692,
574,927,068,774,740,257,266,579,154,960,861,631,766,654,026,841,364,189,530,
793,008,399,989,997,449,345,145,339,611,821,602,605,040,616,094,130,229,559,
421,715,013,094,754,979,013,354,864,662,238,035,072,137,728,412,820,810,397,
642,319,762,274,286,684,257,723,317,412,972,616,432,880,642,275,115,290,760,
824,194,370,303,464,042,365,207,650,463,420,066,632,658,764,654,397,073,889,
897,993,442,332,549,542,812,096,194,117,601,770,988,067,564,455,652,222,117,
214,594,536,445,341,432,110,918,276,784,302,771,134,168,975,749,686,711,681,
931,148,417,001,372,815,679,404,194,595,945,830,966,655,321,847,045,314,749,
636,700,353,543,193,236,528,519,307,912,567,685,535,587,286,497,662,575,663,
259,367,803,291,116,085,098,558,925,832,162,085,499,928,132,881,467,812,030,
703,359,976,839,743,141,770,798,638,475,305,549,203,053,579,204,875,692,777,
364,021,669,104,301,254,543,457,775,747,820,275,783,155,607,728,927,276,733,
919,346,034,659,773,355,094,829,637,380,090,478,257,426,140,700,217,066,324,
473,884,261,594,188,904,421,377,165,482,397,359,558,544,691,084,661,520,903,
841,178,003,911,378,518,355,511,104,738,633,519,727,369,986,486,413,877,541,
589,885,123,226,560,416,625,960,537,341,306,271,530,643,576,106,788,400,770,
513,978,455,918,484,982,930,522,463,964,914,004,455,189,931,587,289,942,902,
432,872,611,179,303,441,525,717,722,394,947,761,575,719,020,406,590,625,487,
285,076,440,855,214,225,721,428,689,796,392,547,271,133,549,475,289,138,661,
519,354,350,809,167,125,037,804,981,178,863,057,068,702,711,428,593,949,894,
093,566,053,389,710,936,522,084,700,401,958,405,532,561,533,812,219,159,898,
315,628,110,628,266,227,698,165,313,301,131,112,857,265,648,489,126,995,280,
508,510,741,926,810,999,047,047,218,622,108,989,471,288,190,403,768,282,444,
308,706,264,831,650,207,076,325,677,466,502,465,842,524,778,526,980,772,139,
542,082,198,027,864,536,156,692,684,457,819,999,757,457,698,511,631,904,586,
953,713,216,618,327,700,229,266,917,315,849,305,713,419,108,955,405,829,140,
292,967,697,183,206,929,759,442,331,281,564,349,473,561,425,605,675,014,093,
039,629,328,686,790,405,720,410,359,432,668,921,093,653,459,705,511,277,852,
507,423,754,027,021,927,678,779,160,567,413,520,760,175,604,131,471,006,212,
642,067,407,724,006,433,498,766,448,900,600,369,221,803,802,879,849,615,970,
097,950,288,142,801,799,646,629,999,939,779,539,711,992,326,549,483,487,994,
112,913,995,092,765,867,913,387,742,749,278,156,598,456,089,245,859,664,470,
322,529,413,186,554,741,528,201,883,640,726,086,139,393,098,612,944,518,379,
379,706,207,731,096,623,068,486,239,415,346,987,029,180,755,731,333,318,768,
997,936,829,634,986,563,170,638,853,102,821,895,809,968,909,142,659,389,857,
532,105,004,411,152,284,141,439,497,629,579,543,770,783,554,538,489,954,876,
986,816,089,492,924,213,709,963,156,560,476,397,457,146,385,567,428,609,310,
217,738,806,929,420,140,344,287,607,823,917,231,753,708,181,050,679,754,118,
038,656,898,171,223,966,194,040,545,744,284,787,139,357,408,869,448,311,662,
678,177,784,167,546,551,207,890,111,121,902,119,150,905,320,916,016,027,667,
391,146,852,857,520,587,459,736,561,956,944,731,258,283,653,770,798,346,930,
819,960,606,423,087,061,351,479,900,936,954,433,493,168,018,555,077,299,203,
457,995,741,932,616,112,516,123,786,304,170,177,519,502,126,400,326,632,552,
619,552,487,409,187,983,185,616,732,109,882,575,428,002,735,466,289,338,635,
498,988,275,572,378,944,557,090,915,654,189,433,037,147,265,912,577,742,410,
021,665,732,356,125,698,927,505,608,368,355,954,792,739,461,197,794,048,575,
038,298,100,171,278,944,215,652,566,720,475,611,437,557,752,932,161,968,042,
378,990,879,890,933,446,309,569,375,815,504,181,403,973,394,949,238,832,609,
883,309,755,553,802,032,098,892,633,613,780,837,704,257,506,215,760,070,252,
714,155,096,283,300,684,654,764,267,855,366,395,485,120,840,504,982,966,967,
886,777,689,230,516,801,505,823,818,096,938,524,662,294,646,196,877,916,534,
907,472,930,535,700,707,286,646,413,260,395,501,821,503,772,853,895,665,427,
715,634,395,810,600,694,603,209,392,148,626,743,834,393,921,507,593,929,862,
576,946,437,033,137,047,532,054,751,414,149,377,376,532,228,255,738,301,036,
673,910,429,107,955,096,808,976,833,438,275,323,485,390,561,414,724,759,651,
978,967,658,819,928,259,719,743,882,251,807,439,985,920,077,360,367,690,869,
630,981,290,594,717,430,609,898,655,089,459,185,779,263,816,247,957,563,167,
342,525,136,686,391,373,347,506,986,610,870,629,492,258,070,415,099,394,831,
606,089,648,646,415,980,786,425,122,796,602,968,794,302,413,233,883,665,266,
869,435,419,459,553,294,182,815,349,009,036,279,030,359,368,964,418,822,240,
260,032,553,169,382,768,355,413,536,894,714,295,715,888,370,148,944,714,792,
814,963,719,850,626,638,196,833,859,379,971,623,114,475,744,711,239,357,453,
641,039,938,534,587,044,933,716,659,356,843,886,235,108,677,050,151,290,153,
830,940,829,591,182,857,605,329,430,920,260,390,469,531,533,076,395,420,747,
234,400,721,532,878,721,380,954,277,138,673,749,180,028,889,805,954,352,079,
722,668,748,885,029,215,282,863,386,959,966,434,117,441,847,134,252,335,601,
560,572,361,250,498,495,871,100,245,621,028,118,671,625,174,058,512,927,442,
467,437,875,786,404,996,489,529,917,014,276,676,207,800,871,623,922,426,044,
331,673,659,181,667,432,530,528,241,920,646,156,490,198,619,756,244,713,208,
225,439,211,057,380,467,629,973,275,957,974,466,554,026,196,282,352,421,616,
082,562,368,330,656,674,503,273,851,024,468,046,520,519,006,636,418,492,646,
259,329,281,292,705,423,438,594,288,120,150,884,975,222,943,345,723,060,366,
670,859,412,073,320,499,799,595,444,588,805,093,924,296,702,413,770,225,366,
955,965,842,994,172,009,659,693,599,029,426,667,863,526,629,401,579,899,147,
532,846,841,267,518,302,063,367,220,724,207,873,198,401,219,400,368,761,471,
731,304,695,882,628,169,886,606,047,605,449,309,791,011,484,567,438,101,819,
920,027,752,904,408,117,920,815,815,295,483,130,698,266,090,372,506,253,401,
006,626,517,645,564,309,249,117,037,925,655,896,677,569,155,820,777,187,750,
012,049,651,223,659,325,844,904,756,483,936,373,409,493,237,788,817,101,612,
544,912,236,485,130,768,166,326,398,200,338,517,214,593,507,044,845,177,017,
980,803,159,121,831,062,740,884,285,763,431,757,874,873,867,913,510,271,616,
526,787,299,234,503,117,397,146,949,139,521,093,340,354,355,789,081,494,702,
273,380,617,067,857,240,275,290,603,637,013,497,700,133,063,154,688,835,057,
239,420,175,712,751,812,921,469,690,840,611,013,073,482,573,665,578,233,050,
701,608,103,461,307,071,269,452,730,121,240,121,583,690,100,118,026,646,779,
998,205,997,188,846,804,885,668,387,468,098,077,460,902,885,037,562,549,700,
214,053,743,976,460,273,730,369,496,059,988,423,146,148,444,984,294,662,979,
840,993,475,948,145,287,949,340,157,210,696,918,363,902,078,720,818,070,276,
748,888,239,569,319,290,627,189,713,091,423,398,646,537,687,281,933,795,256,
820,608,285,855,215,343,419,969,578,052,641,193,133,287,261,535,030,780,510,
997,275,197,333,145,588,052,365,674,959,743,178,799,102,536,982,277,297,650,
643,778,113,893,514,665,341,941,759,996,498,060,627,339,742,300,589,900,585,
722,955,880,832,407,615,511,175,844,380,756,789,552,573,233,905,725,022,030,
457,678,238,817,622,133,615,485,687,043,400,545,602,132,973,035,223,207,259,
906,765,312,767,706,814,372,117,594,081,526,368,776,496,167,333,075,799,584,
735,281,435,683,171,685,123,027,403,683,009,992,801,481,018,853,274,309,911,
573,764,191,343,021,063,526,690,118,727,305,260,285,991,308,846,033,389,817,
285,738,127,383,225,403,098,497,272,792,495,743,203,689,481,862,049,559,014,
503,732,916,191,575,697,205,443,330,436,912,296,101,110,017,118,411,920,820,
921,237,742,934,434,426,281,267,198,857,667,647,577,787,623,906,207,704,940,
773,638,841,966,959,481,305,500,266,877,855,324,781,949,562,744,446,793,657,
735,162,658,806,516,818,196,390,619,374,482,533,254,386,369,673,222,516,597,
732,958,355,991,078,939,324,746,142,442,372,476,912,597,724,935,941,419,097,
233,536,256,932,392,359,073,476,246,637,270,822,221,886,488,331,526,709,611,
708,419,021,307,538,031,043,444,300,930,109,689,719,778,778,634,924,846,153,
389,319,447,692,121,165,591,548,840,454,872,612,071,897,377,275,996,085,038,
691,972,503,385,172,295,509,176,347,385,582,099,646,829,893,959,697,479,869,
030,139,824,954,328,429,754,836,184,907,792,699,987,824,285,441,668,829,331,
331,405,118,783,060,068,130,360,272,717,021,404,494,734,425,108,228,283,219,
293,793,074,398,504,701,401,332,350,089,538,178,749,387,641,546,583,681,780,
498,965,683,398,277,852,816,136,514,636,440,725,136,781,445,003,588,498,715,
636,464,518,730,424,230,917,484,790,102,841,664,496,035,329,518,877,601,422,
091,907,858,592,616,733,960,704,943,544,743,287,793,225,898,509,539,496,158,
716,434,082,638,618,745,554,832,150,544,248,702,671,323,848,128,141,187,347,
953,087,164,687,884,477,244,062,683,052,161,022,034,513,728,568,329,390,348,
302,315,198,879,417,258,400,329,301,777,693,154,775,297,994,024,566,211,789,
458,286,388,954,861,699,010,101,422,642,907,565,947,348,715,333,656,461,504,
851,402,419,076,500,436,956,349,138,223,322,516,991,845,421,940,600,930,100,
590,903,155,595,447,440,555,995,756,464,679,102,920,818,140,666,243,241,898,
162,689,067,603,407,658,610,065,066,030,633,702,374,101,998,632,514,047,139,
854,089,370,433,577,297,622,166,019,499,601,301,034,932,423,936,556,952,395,
420,354,668,653,510,518,870,209,110,571,824,434,956,096,499,416,091,389,285,
739,969,761,802,500,032,223,529,316,616,074,671,619,106,761,555,945,797,286,
364,281,148,669,817,682,259,754,501,727,780,726,168,397,463,071,203,339,212,
691,956,848,650,612,070,017,463,779,044,378,440,977,182,660,789,176,658,435,
767,098,551,933,196,326,725,087,263,178,696,877,288,701,809,126,171,021,202,
662,886,044,347,000,050,993,362,671,900,373,972,120,255,512,072,801,416,690,
734,000,479,898,862,374,103,726,183,311,975,710,385,665,139,654,870,967,391,
077,240,950,679,078,918,543,150,228,616,499,120,704,309,754,279,338,421,229,
048,969,678,446,765,267,311,669,142,119,500,621,505,189,985,344,659,688,715,
589,290,695,343,028,406,715,146,564,928,034,833,743,243,430,730,905,433,074,
826,489,771,570,391,852,469,844,318,589,285,593,739,625,888,511,821,179,988,
402,156,169,567,741,340,254,365,725,996,877,060,260,514,368,930,644,444,036,
260,079,823,517,762,610,840,758,792,921,021,943,898,175,743,321,564,769,188,
988,118,962,186,903,456,712,108,526,758,678,611,046,007,861,828,275,970,328,
867,478,702,321,929,651,949,259,509,205,789,455,000,459,213,317,714,512,379,
744,926,454,035,615,361,198,295,694,081,858,894,178,001,673,071,398,564,159,
477,783,466,126,421,153,460,618,948,951,384,771,048,000,649,720,759,239,082,
182,465,478,997,402,355,737,793,916,075,425,853,343,026,149,500,796,434,979,
125,400,999,677,763,864,227,445,759,016,382,965,008,978,234,621,786,968,259,
323,878,763,992,297,717,928,636,508,739,183,965,067,304,498,959,290,640,207,
347,151,374,813,644,268,200,003,656,260,868,270,992,868,018,503,787,266,570,
590,483,994,020,806,064,563,343,129,476,115,612,059,838,974,924,341,414,135,
754,664,772,085,562,491,686,818,844,117,351,758,459,418,072,842,900,878,307,
809,154,198,017,747,109,058,146,732,515,266,675,460,373,548,290,681,679,767,
212,960,595,115,273,755,684,209,978,604,589,819,805,730,556,182,873,027,293,
121,819,997,513,194,665,214,059,702,015,927,456,897,200,489,300,141,389,683,
582,337,528,456,116,858,543,454,052,491,478,025,618,478,722,457,663,947,805,
263,566,877,713,643,730,121,143,229,420,420,039,081,758,292,453,416,248,715,
560,432,940,181,323,072,781,892,589,619,957,985,409,069,247,358,237,897,561,
331,695,632,965,416,559,748,379,238,035,843,588,266,849,242,271,217,074,961,
454,354,655,386,953,003,307,824,696,699,971,783,790,450,629,835,435,691,094,
383,206,064,159,209,556,659,603,117,998,865,405,488,407,226,776,192,364,863,
925,193,467,092,153,260,916,304,493,007,002,212,509,654,527,756,877,991,181,
266,571,092,120,357,857,375,309,261,441,340,621,055,918,444,418,045,922,832,
102,478,857,055,089,484,410,547,371,789,000,888,363,049,896,376,075,067,650,
510,850,240,331,299,864,597,303,487,908,116,255,142,335,802,050,187,822,068,
681,299,014,526,830,950,807,080,366,179,908,674,008,440,767,320,670,841,209,
426,019,134,475,911,385,087,775,643,675,057,233,189,686,943,418,881,627,955,
974,997,249,237,765,835,480,430,286,642,266,189,071,515,939,477,152,809,640,
385,820,124,199,669,508,017,058,691,564,073,402,330,278,165,766,671,964,769,
694,622,694,424,262,837,963,278,024,367,462,352,641,523,397,994,725,405,896,
848,790,713,679,861,954,412,021,789,577,840,658,340,895,927,032,381,933,161,
631,891,037,766,993,689,143,376,191,519,771,863,486,857,086,845,136,481,365,
956,405,892,167,391,182,107,000,078,923,156,664,001,756,403,190,387,817,564,
903,531,224,380,334,151,345,706,020,388,450,043,691,304,031,130,355,401,906,
019,824,712,778,416,727,798,907,472,367,622,250,523,834,065,175,041,959,882,
719,637,923,592,172,198,709,212,608,521,815,183,395,190,602,357,260,893,889,
618,102,242,233,473,152,844,382,965,791,599,083,557,063,940,130,263,579,699,
905,371,149,054,684,074,332,912,782,564,170,286,601,878,831,540,867,182,263,
894,498,864,063,281,252,091,610,350,217,034,461,100,363,518,442,485,684,889,
935,118,308,969,981,602,661,434,681,837,178,760,289,048,785,939,436,725,292,
915,409,737,261,135,663,303,124,186,217,926,854,065,663,533,297,971,534,541,
130,915,692,885,025,084,787,711,457,778,912,279,187,351,960,940,879,471,676,
396,057,236,482,549,383,816,725,483,328,092,904,794,632,788,369,383,178,890,
259,120,631,013,296,319,126,435,176,324,071,464,766,164,176,786,017,102,372,
393,362,737,924,964,634,935,218,381,056,540,270,955,802,319,101,486,317,275,
770,270,943,786,965,631,523,685,291,836,729,915,213,998,585,052,191,159,231,
460,418,076,710,117,130,402,362,543,729,718,450,497,538,278,409,524,117,684,
694,485,624,531,789,448,872,667,163,575,760,036,842,590,356,307,857,101,088,
802,612,167,257,563,641,947,795,145,174,916,514,680,410,869,652,614,355,087,
299,437,800,301,964,186,961,629,662,511,248,286,765,487,779,614,739,447,439,
063,769,608,448,430,910,398,985,913,285,009,582,336,429,391,079,755,897,504,
465,193,343,128,346,023,911,400,451,966,469,317,396,011,788,591,173,374,251,
680,753,145,954,161,801,842,855,399,562,233,235,852,205,516,488,432,821,410,
641,551,028,594,116,705,350,660,019,273,393,982,455,018,282,760,382,224,715,
595,783,742,851,678,676,526,752,318,221,705,536,229,687,752,493,049,921,697,
370,508,107,215,178,635,208,943,814,776,844,384,356,668,861,931,064,300,340,
264,137,829,957,959,316,451,657,798,540,541,835,657,464,592,410,045,726,950,
331,089,971,848,335,654,154,536,238,803,689,837,478,162,912,649,157,761,156,
875,169,556,513,907,365,300,453,313,014,565,355,011,992,420,565,689,603,183,
153,881,331,877,754,411,527,855,199,971,252,276,299,673,459,489,247,327,096,
151,183,172,724,853,181,435,637,098,448,116,715,694,676,791,201,528,266,639,
980,647,524,169,003,606,772,464,775,973,868,889,342,490,101,862,120,517,133,
533,794,380,425,639,857,045,495,746,161,376,053,325,735,525,401,286,544,659,
345,209,821,951,826,491,787,385,950,879,935,964,401,330,791,445,062,787,182,
560,996,659,820,182,686,338,866,417,311,358,444,761,368,411,939,673,226,837,
049,963,064,354,656,299,211,476,348,418,462,631,672,748,197,859,985,857,912,
503,522,090,697,596,178,707,968,476,832,504,018,225,879,228,461,545,269,702,
504,101,763,088,504,798,494,585,536,013,809,328,989,420,838,206,883,207,041,
935,877,439,973,206,625,480,652,015,684,099,955,562,623,107,160,008,900,786,
373,147,064,047,662,445,334,767,058,353,925,586,314,144,377,748,567,802,341,
025,565,284,483,296,645,433,880,651,663,739,890,812,544,482,753,359,652,356,
651,080,523,504,852,386,849,286,377,699,460,090,992,521,981,059,314,020,817,
260,579,453,439,378,251,553,635,160,811,660,994,737,691,547,366,757,770,868,
881,426,718,625,151,081,728,855,346,065,989,498,342,065,845,713,779,588,774,
232,658,469,103,212,225,552,674,887,984,023,428,807,744,300,112,945,943,277,
380,875,722,171,218,469,306,761,313,437,745,407,084,468,473,071,883,972,707,
289,195,595,145,008,795,263,970,121,807,039,918,897,083,635,265,826,930,775,
361,545,880,052,325,785,736,510,695,281,730,930,050,587,310,010,726,006,288,
674,257,758,971,676,858,481,536,402,093,367,447,970,562,303,154,390,812,861,
323,043,864,886,016,337,476,013,371,589,481,295,202,659,049,306,754,237,728,
993,022,752,064,446,027,645,433,267,424,083,255,764,391,898,729,491,723,324,
070,821,885,904,496,956,725,551,447,846,314,725,695,632,239,322,895,384,031,
301,945,539,396,976,183,343,317,892,680,127,592,827,190,494,339,746,086,607,
816,776,359,911,444,266,135,865,335,682,860,447,467,680,027,327,765,260,060,
107,461,643,527,398,175,010,056,800,583,312,247,234,476,733,490,876,549,155,
149,611,728,726,704,876,755,146,464,034,273,973,950,537,677,571,458,606,870,
740,969,649,595,973,105,408,888,046,393,093,572,247,051,214,457,008,929,831,
546,954,112,740,936,641,764,721,782,318,255,486,587,951,296,652,994,440,906,
983,400,638,168,733,892,027,207,806,666,254,498,497,474,621,080,176,225,071,
567,258,602,239,460,101,209,359,114,192,254,313,260,413,559,539,394,813,914,
350,974,860,584,482,801,918,729,096,369,937,554,688,243,359,122,872,355,253,
206,837,954,065,418,592,974,070,539,048,182,492,241,531,750,502,718,363,556,
822,804,974,109,853,691,542,010,967,648,642,522,375,568,023,268,559,157,695,
901,231,358,449,048,755,551,418,426,552,283,299,989,147,128,732,799,548,179,
600,092,007,708,151,179,624,920,513,997,592,368,513,676,348,108,583,783,968,
928,046,499,229,280,094,469,085,137,417,661,908,854,214,169,174,515,778,031,
837,130,172,174,193,654,901,685,420,742,838,539,570,170,102,846,168,104,353,
916,633,042,761,406,277,431,540,021,972,002,527,848,654,027,107,669,733,107,
689,075,160,337,858,015,858,382,909,549,627,581,968,890,494,112,332,932,934,
965,913,163,930,997,498,433,296,918,063,488,140,133,240,763,670,978,972,772,
897,602,809,819,513,377,317,944,699,953,741,132,398,825,000,830,797,914,270,
101,185,397,893,800,495,291,677,974,947,377,558,478,551,838,560,671,590,592,
732,317,191,143,172,337,453,837,842,356,172,995,965,401,105,096,836,087,448,
137,695,066,912,795,155,381,375,691,046,721,412,613,938,782,047,492,289,369,
557,686,536,323,169,169,153,333,278,453,213,535,248,881,921,345,762,327,718,
301,397,253,965,130,537,969,925,300,362,699,062,355,215,369,407,885,967,747,
363,865,393,694,379,253,431,733,187,085,010,480,218,180,454,659,403,824,892,
838,957,313,995,834,445,351,164,691,011,033,607,630,732,758,282,926,286,890,
087,436,012,228,545,939,438,261,060,554,225,153,765,246,183,030,443,335,633,
772,829,374,702,249,416,712,043,993,914,746,135,983,148,711,270,082,181,424,
260,787,187,037,009,750,600,784,844,007,113,050,858,323,445,503,887,123,308,
528,939,983,386,259,708,294,895,254,330,057,970,170,114,933,967,800,239,458,
854,815,631,575,206,377,784,379,055,489,663,841,445,138,332,905,397,646,736,
182,815,678,867,258,233,900,918,510,051,650,156,607,283,783,484,816,944,253,
331,407,973,607,932,536,441,814,095,666,322,510,780,216,527,414,237,432,695,
484,057,756,385,731,389,441,480,707,379,922,627,018,459,967,604,979,942,043,
710,938,492,505,725,987,190,737,143,954,404,587,539,262,952,158,217,791,909,
982,171,401,143,467,640,776,555,513,269,378,275,964,309,555,387,157,157,660,
800,370,818,037,242,704,040,100,783,918,313,079,015,564,113,321,100,529,687,
376,736,015,395,629,006,362,554,549,018,348,433,300,863,232,383,989,511,147,
122,698,351,377,134,405,500,826,479,451,001,644,178,800,342,425,154,062,593,
777,077,497,308,192,054,639,253,187,160,688,837,924,820,471,848,907,005,394,
082,300,795,939,925,953,999,773,789,675,112,805,709,862,816,650,693,905,881,
667,994,052,771,738,446,343,037,363,019,752,851,184,949,044,237,309,182,149,
057,931,386,027,208,088,256,614,839,879,927,709,911,846,507,441,165,716,501,
206,705,513,056,401,049,426,064,484,921,836,117,188,755,645,635,495,256,841,
240,600,021,530,881,863,000,514,000,365,955,904,978,482,975,341,229,252,730,
637,556,710,669,325,812,170,278,477,728,359,957,704,331,385,787,851,191,418,
209,971,103,226,522,294,025,977,002,017,315,327,466,274,954,704,424,365,098,
108,740,752,786,820,456,359,462,846,541,284,684,540,645,472,260,731,137,898,
966,742,464,082,588,849,075,583,636,918,386,755,124,573,473,425,094,224,670,
177,530,781,902,287,743,696,720,471,644,005,274,086,761,711,292,265,443,694,
961,417,256,950,632,793,182,602,113,572,502,657,711,048,029,073,342,056,277,
704,282,534,716,641,864,011,037,855,777,148,288,909,282,074,788,137,114,402,
405,554,721,246,313,748,024,006,952,768,803,238,911,031,400,422,659,114,202,
364,019,803,469,262,706,665,615,527,343,296,525,219,574,944,473,835,787,433,
161,266,927,409,035,395,752,847,783,266,388,562,877,477,256,170,784,991,710,
538,311,122,401,178,178,124,340,194,914,772,920,524,586,480,264,385,366,836,
101,224,537,584,317,628,138,944,134,660,700,856,311,316,479,078,301,601,069,
802,502,963,997,980,502,285,956,963,385,858,876,918,267,382,611,956,268,864,
216,115,341,157,498,874,931,534,546,945,969,899,930,478,904,938,749,082,828,
257,489,751,775,709,310,315,960,786,773,117,868,640,775,242,992,828,755,648,
443,361,861,674,938,932,096,992,920,597,642,772,185,798,330,019,724,031,456,
967,621,749,630,284,357,640,601,545,635,600,863,878,641,310,948,738,800,860,
963,021,333,145,562,421,544,906,790,456,787,357,247,927,004,729,793,692,036,
643,604,207,970,769,179,643,387,294,014,760,610,148,701,820,853,537,679,460,
031,832,545,107,271,880,963,588,403,205,670,820,823,023,987,711,549,359,039,
051,250,700,263,570,360,668,524,733,925,844,759,933,196,993,936,129,023,940,
546,260,386,348,594,390,139,626,778,244,721,155,578,222,633,247,616,298,341,
124,283,582,187,063,961,281,505,753,063,636,272,127,560,796,778,730,038,274,
924,526,156,782,576,399,453,758,533,670,903,800,334,394,722,337,810,903,244,
295,269,301,150,572,860,976,258,396,531,340,756,140,066,774,452,176,092,888,
206,898,515,022,984,023,670,102,025,392,414,803,180,262,598,301,305,443,450,
675,366,591,814,713,717,168,389,975,992,303,719,580,490,725,605,484,762,811,
719,371,778,683,581,120,968,841,098,830,731,940,209,941,459,898,122,735,332,
454,127,898,273,579,549,033,356,388,881,008,076,361,028,841,198,450,287,078,
896,811,414,062,110,527,723,088,976,220,402,542,552,063,044,264,854,857,321,
881,023,694,347,481,716,117,968,093,570,993,072,467,707,539,204,491,924,305,
000,202,116,704,373,989,921,628,773,122,721,758,722,759,475,545,189,018,999,
303,340,432,853,805,177,930,248,686,807,435,998,575,749,237,989,147,370,113,
491,308,674,415,806,947,913,707,791,405,178,118,539,979,271,735,705,876,225,
165,288,784,255,850,296,917,305,408,730,734,596,683,386,887,563,265,206,093,
451,108,035,986,440,245,374,084,741,903,304,087,260,046,555,448,152,557,024,
508,270,721,328,239,636,025,530,429,238,672,412,221,479,573,464,525,582,196,
353,583,721,598,150,051,879,497,779,477,788,431,825,490,855,765,538,038,259,
845,833,911,887,095,870,510,076,724,432,892,448,077,285,984,112,325,971,770,
596,711,116,467,800,507,819,301,875,160,308,365,716,680,342,932,327,338,587,
676,072,647,784,754,556,947,439,471,242,874,904,851,320,211,103,437,345,652,
724,885,353,105,625,674,951,257,432,163,225,106,526,473,172,972,488,092,876,
109,786,728,685,936,034,620,432,154,417,102,930,998,521,089,590,170,476,289,
913,752,257,016,072,801,651,900,936,417,873,783,336,454,231,871,384,447,598,
981,388,144,384,089,034,819,656,339,582,803,619,666,547,950,423,894,813,485,
639,911,842,378,786,004,832,686,538,114,020,246,082,449,846,449,785,276,282,
047,663,415,026,502,493,937,246,999,844,947,810,188,640,259,437,321,697,825,
794,641,433,876,961,603,593,674,174,592,250,471,538,215,466,088,302,550,364,
169,051,979,979,944,988,834,655,866,934,425,169,597,790,664,083,337,495,504,
335,437,802,437,999,494,224,241,800,089,433,847,081,383,889,845,189,710,345,
683,901,126,951,449,161,941,648,078,448,070,954,769,848,973,741,395,124,135,
483,221,176,505,044,369,989,528,400,889,265,692,819,034,277,007,645,940,961,
155,610,039,931,571,914,186,400,384,624,550,408,207,216,310,880,234,321,784,
546,498,546,883,736,557,706,904,819,578,455,161,655,424,491,305,581,865,107,
850,716,597,544,743,106,852,767,501,322,140,807,246,455,375,486,653,626,023,
537,615,026,729,395,052,306,677,894,190,319,401,511,770,822,567,835,940,803,
393,047,128,383,321,770,024,593,829,970,941,660,963,671,653,752,477,014,799,
417,931,909,569,310,510,307,484,545,682,046,949,893,435,399,404,791,822,090,
186,839,600,090,094,353,559,257,694,002,269,958,064,764,131,635,498,414,865,
146,561,581,401,133,344,511,561,634,838,914,432,107,589,251,028,793,384,533,
957,269,736,766,946,347,472,842,970,147,177,070,205,200,443,938,671,918,870,
162,581,945,140,103,438,085,943,876,000,199,380,460,210,417,517,189,647,241,
207,323,151,488,306,418,345,735,561,904,723,062,361,318,183,249,033,153,308,
468,474,012,571,216,752,081,833,881,774,395,106,826,804,608,442,250,237,412,
527,586,225,936,038,800,726,240,505,774,008,526,828,811,374,735,753,783,541,
630,948,737,027,934,334,161,789,089,150,348,194,543,487,815,396,199,813,077,
641,786,778,584,908,101,567,092,655,083,365,746,204,879,153,618,164,921,823,
474,179,095,166,965,551,841,818,003,009,159,657,891,818,227,634,403,724,488,
572,831,343,976,670,033,053,991,214,972,809,017,943,084,940,895,984,097,552,
387,419,622,371,121,817,032,928,752,992,499,185,455,575,211,829,424,281,958,
394,810,148,675,836,110,895,532,725,733,181,134,766,562,779,129,565,246,306,
853,972,421,947,912,000,604,992,921,624,342,951,968,182,309,256,262,329,441,
494,120,327,568,171,404,870,462,536,248,650,943,688,753,931,307,955,891,675,
229,342,409,050,475,639,177,270,021,699,910,021,435,443,331,696,489,668,502,
596,473,773,781,076,733,406,146,459,006,182,418,165,028,821,608,747,960,477,
008,653,315,811,225,426,712,587,054,281,487,894,006,749,215,134,312,817,754,
594,831,488,041,976,603,872,436,934,427,955,412,198,112,176,767,077,453,932,
507,029,668,206,140,446,629,218,210,860,872,840,973,935,663,691,435,609,264,
961,569,519,759,965,376,832,634,520,887,745,126,349,684,024,581,661,327,702,
355,777,598,443,006,494,705,102,083,105,853,959,934,926,930,924,551,089,058,
939,599,735,586,828,938,067,789,481,318,892,306,046,835,254,776,522,566,651,
397,224,643,035,152,444,589,531,491,997,069,047,370,059,732,132,205,722,590,
662,676,831,115,186,421,145,036,307,655,019,956,974,610,933,848,881,925,252,
421,907,792,478,388,750,573,872,605,195,658,612,421,312,461,194,622,652,783,
470,010,250,136,146,444,523,568,026,256,617,530,591,974,125,757,790,202,507,
726,442,193,441,930,342,249,875,074,339,620,119,984,475,840,165,871,077,641,
297,415,843,619,090,392,697,871,723,569,502,850,475,663,151,003,768,760,977,
019,658,206,672,741,788,275,630,758,105,949,530,021,847,969,686,191,533,985,
846,350,542,719,380,846,391,294,508,369,588,778,621,953,242,015,072,562,043,
692,630,396,985,042,140,031,684,719,459,179,600,437,034,094,302,517,561,008,
092,838,293,477,273,215,134,603,562,280,209,995,426,316,368,638,034,340,582,
898,209,357,157,415,663,325,551,483,130,425,781,820,296,808,574,462,682,579,
442,607,262,263,433,181,937,078,416,447,039,183,382,100,799,784,198,240,491,
064,132,544,430,590,932,029,999,089,371,387,172,086,601,102,250,414,652,825,
739,935,590,859,415,991,275,418,409,753,912,494,702,409,358,398,413,119,114,
098,558,725,907,364,793,507,419,271,586,470,219,790,308,958,281,166,573,608,
281,544,032,396,608,106,654,998,770,776,622,426,006,289,844,188,700,322,611,
804,595,354,349,740,930,669,317,533,913,517,179,635,956,879,339,122,399,604,
824,179,636,416,972,999,437,760,980,238,477,651,132,163,350,017,531,249,756,
971,089,518,669,015,278,196,131,795,784,819,426,175,107,635,156,321,117,136,
918,148,079,673,175,798,148,259,286,388,717,794,222,791,701,362,974,783,761,
835,127,454,829,659,166,268,460,580,917,829,668,706,382,751,014,685,663,288,
074,713,546,492,836,638,328,035,768,299,987,337,877,418,314,080,158,688,585,
093,532,657,785,313,014,760,399,157,272,334,621,713,027,624,641,033,249,303,
845,398,875,134,602,032,543,962,189,533,390,977,215,978,476,684,225,370,461,
157,680,552,475,512,512,044,552,400,856,146,504,640,755,865,655,030,986,473,
530,498,994,767,814,843,444,328,885,041,683,693,638,726,300,466,166,059,063,
073,994,480,908,639,867,438,805,984,066,643,007,632,715,558,701,090,017,457,
093,449,711,826,638,597,050,052,465,576,393,008,612,810,693,090,201,016,506,
774,752,740,048,781,135,169,733,676,714,602,464,376,094,446,643,622,150,982,
794,378,357,592,092,633,598,767,361,368,866,646,183,147,596,875,510,361,037,
145,936,687,382,308,909,359,407,180,055,831,393,601,886,650,352,812,417,775,
712,099,542,640,319,605,470,965,735,076,926,761,905,378,875,250,975,235,793,
519,296,313,821,581,205,089,335,797,434,565,367,331,789,148,021,289,901,226,
477,732,273,748,503,324,650,489,511,150,710,596,721,940,546,294,022,218,879,
780,024,225,566,940,743,269,975,637,697,949,301,816,838,112,473,396,646,361,
761,390,312,748,605,610,303,824,027,261,468,573,765,103,165,815,936,964,162,
784,537,280,761,346,422,023,603,745,898,397,776,467,453,176,003,925,297,940,
496,255,188,326,643,880,953,764,944,539,680,556,940,724,763,077,112,013,473,
198,034,581,611,575,115,133,652,903,854,417,434,593,870,637,689,723,962,572,
905,970,653,342,211,033,212,800,164,165,767,258,418,684,145,281,783,622,516,
667,408,406,380,791,979,873,839,836,984,429,597,054,190,590,470,494,124,960,
863,387,161,442,598,024,596,665,931,231,223,905,115,324,531,658,932,680,367,
827,638,328,433,821,060,669,408,399,296,659,622,517,235,072,883,499,568,566,
279,291,810,670,439,352,828,431,094,184,978,635,061,362,874,888,545,801,219,
511,647,740,961,666,988,768,230,979,068,212,001,740,040,274,718,405,850,128,
138,684,506,789,421,606,857,449,618,044,390,415,816,183,646,126,983,442,926,
667,682,076,089,482,691,597,636,805,070,533,329,070,761,833,620,604,648,961,
064,804,114,522,030,993,928,310,075,954,103,931,633,276,827,907,728,336,266,
991,174,567,401,288,817,524,707,219,787,206,708,307,975,230,545,847,657,904,
912,251,956,834,685,218,333,980,593,507,148,529,386,541,864,363,917,723,918,
253,034,092,749,068,400,129,857,303,689,117,045,900,517,216,015,339,734,888,
716,964,071,009,725,462,367,219,412,775,663,328,662,282,788,066,340,854,738,
730,345,428,772,538,444,948,280,954,712,615,805,668,297,783,820,749,715,521,
623,141,980,531,239,210,267,467,711,695,910,513,923,029,058,890,596,080,998,
053,008,948,134,750,342,249,481,604,654,604,039,907,690,707,848,784,745,279,
320,986,461,294,877,487,145,163,414,598,266,596,750,632,455,568,677,506,923,
394,769,769,050,148,386,282,071,729,344,984,903,095,421,346,189,066,411,243,
277,241,018,688,911,099,923,258,329,617,684,631,597,408,344,188,603,536,569,
129,969,002,141,206,285,104,248,134,255,981,114,848,309,954,133,677,002,321,
922,015,883,851,437,727,990,261,779,347,481,649,254,150,528,565,294,690,925,
350,294,377,757,400,389,495,525,380,197,810,169,948,040,698,655,031,304,104,
562,982,270,529,851,048,044,062,814,262,592,029,328,814,538,544,213,005,649,
071,296,003,840,023,447,764,978,197,348,037,740,483,620,927,191,140,346,408,
270,915,097,700,749,417,576,488,656,891,120,010,761,205,432,619,571,981,097,
888,588,691,785,816,069,031,198,816,270,649,264,096,538,734,091,684,802,332,
043,413,245,453,702,209,190,925,479,529,719,853,631,592,057,641,884,822,303,
114,142,547,397,788,584,221,966,889,538,065,271,319,750,013,838,671,845,468,
661,774,133,524,543,879,164,199,916,991,676,028,379,913,600,133,809,289,773,
798,677,994,969,562,600,897,762,544,197,932,516,021,365,450,794,072,251,512,
536,247,941,878,937,311,189,892,996,255,360,806,097,337,877,953,970,281,179,
831,296,116,197,814,506,439,801,955,658,771,154,435,130,134,572,603,871,718,
737,403,608,912,115,965,017,405,715,192,838,319,341,047,884,807,950,012,052,
668,659,642,247,437,053,471,416,491,908,087,715,543,620,541,680,054,814,564,
466,402,963,619,169,298,918,187,980,201,355,757,318,316,740,554,082,973,548,
529,852,666,055,540,952,245,504,515,844,441,620,678,225,869,413,818,272,548,
419,256,968,774,467,747,264,023,240,712,181,779,384,737,157,559,746,521,668,
545,588,173,911,043,126,583,275,558,522,001,599,519,904,389,998,105,179,075,
975,730,576,342,395,403,104,811,833,990,413,513,634,105,666,243,361,764,570,
429,437,582,774,544,055,432,240,200,039,139,376,627,049,996,967,686,103,636,
814,009,753,456,287,930,612,457,745,205,437,528,247,955,117,580,919,794,289,
104,880,610,013,863,872,721,802,092,021,873,509,334,842,857,169,794,086,738,
712,791,925,386,442,248,198,667,044,626,363,467,793,704,289,917,467,505,899,
671,814,352,325,723,008,823,893,774,579,510,857,801,120,499,937,181,074,395,
433,329,658,422,820,847,047,539,693,295,663,773,378,921,360,433,828,953,308,
611,262,612,146,338,052,555,606,309,451,213,462,369,781,659,959,241,395,428,
783,993,529,784,805,243,668,237,382,509,705,662,193,781,849,420,586,507,819,
196,660,001,120,331,421,234,080,654,096,240,987,922,256,397,432,915,157,888,
540,852,615,346,085,177,481,924,841,116,681,518,428,831,728,799,194,166,146,
130,250,997,997,831,848,606,160,121,456,573,155,303,246,557,243,066,926,292,
836,637,397,629,207,197,237,262,434,144,404,278,895,877,732,242,436,421,439,
302,570,462,519,578,222,889,890,406,592,925,526,407,772,068,459,977,451,501,
788,818,362,345,409,189,120,652,496,622,356,826,715,734,766,715,722,778,583,
601,269,112,233,447,470,477,009,061,285,882,869,766,847,845,793,362,668,660,
931,058,773,691,217,501,575,311,080,319,848,854,581,496,242,814,525,641,243,
631,735,130,547,938,156,369,340,648,270,234,186,167,837,008,827,519,945,328,
407,740,536,964,051,589,757,557,569,146,442,265,928,844,354,062,760,960,055,
074,546,703,263,958,995,847,896,832,919,747,006,710,384,893,215,678,451,183,
979,350,532,074,738,775,760,175,397,102,261,912,765,071,146,222,251,281,041,
746,867,249,783,595,318,933,126,023,516,167,563,107,671,032,558,079,823,483,
767,681,674,642,258,019,708,368,592,052,204,184,700,519,053,234,329,294,989,
732,301,354,285,194,051,422,704,429,961,399,357,154,941,562,617,182,421,620,
673,829,249,095,237,025,498,841,204,466,588,569,686,015,661,837,433,376,737,
783,494,186,566,641,309,815,936,041,280,693,315,718,738,979,384,219,712,139,
301,433,599,386,791,011,305,197,303,917,748,010,025,416,097,224,761,641,760,
812,520,475,430,878,866,247,217,930,574,809,794,521,210,540,885,618,961,898,
289,604,720,014,197,765,578,132,226,105,450,022,244,448,132,408,716,565,680,
907,135,728,152,397,601,802,536,347,925,570,565,136,538,864,800,643,457,107,
758,079,019,154,003,214,211,406,549,770,426,337,101,148,294,379,415,449,330,
283,235,269,925,143,196,258,109,679,503,923,033,514,026,515,337,921,415,287,
597,985,056,270,814,144,924,375,860,631,710,496,769,787,072,810,634,305,157,
438,607,385,706,300,469,598,343,724,375,748,944,859,580,425,900,805,968,272,
437,851,037,103,189,473,868,197,622,717,853,726,871,175,712,730,816,301,390,
604,347,905,483,174,524,752,317,927,798,757,335,535,615,498,931,991,317,800,
546,868,516,083,892,293,564,395,227,757,321,399,369,105,184,014,859,936,329,
134,528,377,261,708,711,011,833,384,922,613,478,810,355,348,487,737,007,465,
462,331,426,160,222,261,634,452,018,497,939,227,837,880,659,466,852,978,999,
843,155,895,175,053,403,382,902,036,003,514,181,738,213,128,291,015,311,594,
071,693,678,833,394,489,290,665,344,714,578,902,529,923,629,325,823,639,035,
810,946,148,571,988,235,179,743,494,041,580,766,996,194,159,117,100,210,297,
711,091,900,507,613,873,815,049,161,870,159,795,786,112,524,456,464,586,186,
094,938,746,905,238,492,052,901,055,939,990,719,068,524,925,418,124,093,030,
798,118,342,671,010,288,967,133,386,203,658,919,283,818,530,930,058,681,490,
289,550,037,527,005,884,155,833,870,507,254,349,194,448,885,467,238,983,668,
961,283,276,902,313,190,303,532,480,631,441,655,150,726,005,967,306,467,437,
591,414,417,646,779,042,124,591,994,147,949,670,487,218,411,684,332,297,052,
937,380,001,673,216,731,494,853,324,518,753,867,388,256,954,976,705,037,200,
242,559,207,559,697,246,715,988,813,216,692,195,582,764,862,652,787,384,530,
428,759,745,002,621,403,848,411,375,043,762,831,608,858,670,142,063,305,337,
048,311,037,194,655,311,594,447,581,746,421,998,312,690,747,577,469,591,646,
060,274,405,367,279,797,762,695,590,792,874,443,237,291,606,155,901,577,909,
482,882,250,382,896,927,822,995,528,923,205,538,889,082,946,459,035,160,955,
365,854,253,154,148,978,974,216,271,663,368,112,939,564,650,289,497,111,516,
442,823,588,173,336,825,903,325,766,010,253,800,582,749,681,691,299,343,179,
326,832,247,865,311,288,749,657,157,658,130,027,310,069,211,423,153,061,198,
808,369,368,016,279,313,762,586,701,141,115,821,122,098,094,681,245,285,856,
098,682,292,289,677,405,372,930,059,545,795,764,635,799,011,262,110,900,316,
263,522,053,555,349,953,129,170,572,721,641,251,047,043,049,580,158,426,404,
273,911,755,968,257,477,630,067,721,583,776,488,468,434,180,141,549,659,719,
433,685,718,633,325,991,237,555,391,420,476,461,685,490,910,134,729,673,793,
527,235,467,171,944,984,056,163,406,097,260,690,500,831,061,005,423,224,911,
928,519,772,595,170,005,277,295,293,325,700,302,588,126,129,644,282,247,866,
972,069,391,779,440,976,544,278,702,521,609,749,703,006,306,808,254,149,832,
873,699,233,239,877,590,886,802,090,261,008,014,709,281,887,049,648,900,804,
435,253,149,415,673,074,761,011,128,614,660,473,337,711,341,860,883,089,838,
286,776,561,061,876,616,274,739,851,282,754,771,202,459,468,082,253,055,383,
913,234,809,790,092,492,698,690,949,950,491,036,282,453,071,385,875,053,055,
549,981,601,852,582,232,442,155,098,320,436,255,177,341,040,241,021,635,103,
199,417,503,624,378,531,701,989,671,314,241,989,909,842,795,456,213,849,385,
040,670,322,968,382,252,389,126,898,185,224,840,857,234,193,420,655,302,066,
864,340,053,389,156,133,443,173,933,949,777,363,021,364,403,702,271,633,931,
132,019,224,790,530,396,459,820,877,620,160,782,556,418,564,764,047,410,674,
464,905,933,221,438,300,288,801,296,493,223,942,246,323,724,583,313,476,377,
280,531,493,485,433,971,146,105,011,442,773,660,784,045,373,536,612,139,476,
151,857,869,855,165,116,298,252,114,796,128,067,898,538,983,681,053,200,067,
033,174,886,088,884,214,506,429,628,566,934,890,644,250,836,983,401,537,227,
037,893,089,188,768,705,206,094,199,030,816,048,772,236,075,048,049,434,434,
744,956,371,053,582,013,354,847,189,794,485,399,004,108,611,972,688,942,755,
883,995,898,110,313,569,730,119,121,827,783,292,997,073,498,752,488,938,824,
354,060,288,213,544,112,651,199,809,769,152,677,507,358,910,606,746,746,894,
392,112,277,290,173,474,503,290,155,569,585,745,816,435,671,929,860,892,117,
069,722,481,729,243,851,072,355,743,766,196,657,509,971,246,712,463,556,753,
498,832,665,988,986,796,311,996,492,379,155,374,917,327,509,819,409,056,987,
195,840,367,354,892,412,318,006,930,505,322,477,785,708,698,304,324,527,620,
893,380,724,969,435,795,656,835,512,186,637,693,388,362,560,038,300,877,850,
785,579,677,351,228,769,137,662,406,714,937,376,425,966,850,081,082,617,394,
314,028,019,373,830,677,683,855,226,198,239,132,980,465,553,049,991,207,464,
923,250,455,896,741,157,082,421,874,185,207,592,164,015,438,464,524,711,786,
496,274,462,480,925,553,212,861,647,984,657,226,096,911,514,845,827,434,517,
643,199,753,829,837,489,770,257,393,500,362,501,733,582,950,357,434,472,235,
188,145,917,595,310,179,855,105,466,457,702,005,849,346,974,619,431,156,362,
261,327,837,883,636,875,642,079,486,618,301,412,055,707,069,573,692,963,744,
095,044,694,290,762,472,374,980,521,256,693,337,344,109,454,566,112,362,770,
608,245,232,394,997,455,853,762,468,308,602,195,571,154,428,251,040,409,726,
072,075,125,963,061,965,610,917,803,633,986,110,595,014,969,077,965,196,077,
478,983,228,081,365,229,891,327,814,653,166,535,118,449,734,539,249,783,513,
297,759,699,793,051,127,307,403,432,285,303,555,162,716,354,023,526,271,955,
621,791,909,840,732,097,190,133,223,846,931,711,303,428,954,487,433,297,762,
351,639,752,160,016,070,584,862,405,209,288,747,249,813,759,774,823,784,852,
143,113,684,393,030,524,579,150,440,256,385,476,781,504,978,178,800,736,249,
589,223,358,320,220,670,674,607,667,911,738,081,210,210,875,078,732,092,265,
792,199,654,654,772,793,305,034,412,646,197,101,576,665,806,927,623,424,267,
290,119,194,616,421,551,525,104,562,991,647,972,625,652,347,929,371,972,690,
429,138,225,730,008,948,976,866,737,195,783,844,493,612,931,944,249,599,598,
227,242,328,365,879,762,346,568,128,304,430,375,217,133,163,224,296,088,458,
225,973,733,149,402,681,499,364,244,035,029,808,472,651,915,941,823,757,656,
683,038,166,054,059,660,312,402,411,100,809,823,587,683,827,495,973,277,930,
588,218,494,369,397,657,687,296,128,234,254,140,969,852,741,638,026,725,079,
118,033,277,954,631,592,636,404,198,298,034,785,665,428,335,639,058,154,571,
645,754,975,128,044,117,491,601,504,947,593,943,378,951,799,833,134,183,724,
185,635,916,678,171,963,735,104,745,497,406,979,742,254,245,801,945,836,347,
560,197,788,517,663,163,115,350,746,863,134,737,504,190,640,465,214,784,443,
279,013,967,550,832,913,529,442,518,181,313,394,432,900,687,114,364,945,086,
899,806,670,469,721,571,477,702,126,023,162,643,118,550,343,554,731,036,683,
529,201,010,225,999,069,964,155,783,312,354,128,539,136,677,492,351,264,283,
747,797,010,878,797,892,001,032,317,828,762,102,165,265,291,646,428,138,130,
497,009,089,279,727,330,235,357,104,118,555,700,319,178,241,001,627,876,460,
562,983,899,439,412,297,582,610,592,028,171,835,621,238,790,439,770,226,070,
566,078,697,097,302,480,265,520,915,044,378,078,111,011,150,291,403,648,207,
181,874,910,929,946,841,227,919,359,761,708,130,501,677,590,580,923,661,621,
347,748,951,525,998,174,461,661,177,533,816,650,536,338,412,665,427,529,469,
892,239,928,012,232,904,043,609,626,535,656,296,723,132,081,227,004,936,760,
191,299,996,773,613,367,693,027,602,606,349,597,000,165,230,296,483,789,599,
204,141,151,060,480,913,209,764,903,672,714,544,023,135,371,224,459,973,361,
440,433,448,129,489,576,013,485,610,245,463,969,000,445,634,871,781,517,743,
979,539,036,495,026,799,664,329,000,333,190,796,832,846,929,311,289,770,058,
718,754,752,298,308,906,287,949,709,380,088,051,059,473,880,158,028,863,480,
335,058,305,961,429,377,958,180,130,039,894,190,790,652,029,913,050,686,111,
828,128,252,490,370,454,077,567,227,454,154,964,940,359,407,125,021,621,904,
984,408,409,187,479,472,322,030,445,577,883,583,534,399,507,790,791,988,002,
973,263,401,026,417,174,577,244,232,100,638,325,352,284,789,305,474,368,562,
427,654,901,254,858,795,895,176,336,145,637,092,728,950,211,506,619,775,628,
129,659,979,463,818,998,603,032,376,095,661,164,983,249,545,343,488,900,392,
002,308,888,302,126,281,029,297,722,072,829,408,769,381,582,473,332,366,640,
270,794,175,756,241,869,536,844,540,334,846,609,956,521,242,106,459,656,231,
774,938,316,337,324,335,588,532,505,033,329,085,970,227,518,660,013,551,390,
001,079,908,578,446,249,953,310,929,088,497,128,500,101,679,799,152,822,294,
604,705,164,688,820,916,271,552,909,571,775,800,439,283,810,228,429,414,562,
928,355,293,968,123,481,042,027,287,537,034,727,859,126,788,566,753,759,789,
627,943,032,498,994,270,776,785,476,289,758,126,085,726,884,045,707,655,327,
205,685,787,338,312,660,270,169,289,877,846,947,495,086,367,324,245,370,021,
861,473,207,426,201,296,773,736,237,556,872,628,670,843,019,653,127,009,937,
765,195,783,734,069,501,311,272,290,232,934,311,508,571,852,627,368,218,158,
599,942,266,341,640,995,738,163,940,498,392,956,863,966,381,724,274,971,917,
954,086,524,350,122,016,244,409,384,183,082,171,836,095,276,961,566,848,232,
257,595,162,357,675,612,202,839,932,420,136,851,995,053,716,423,031,108,913,
464,497,841,102,142,756,250,322,261,448,513,465,815,315,780,662,541,763,666,
111,726,258,003,540,252,570,363,534,160,004,161,066,419,532,908,942,720,744,
265,382,527,817,282,013,387,275,571,054,317,801,258,027,514,328,313,620,492,
714,197,830,548,995,403,172,262,761,082,822,737,442,331,680,343,898,458,419,
384,794,678,676,244,219,777,289,945,462,263,430,725,265,105,243,396,729,378,
261,113,615,366,890,418,583,556,500,752,869,259,626,648,233,458,596,419,817,
635,533,949,489,958,784,027,693,324,380,913,815,189,681,656,399,356,850,406,
041,466,857,168,361,680,793,507,331,964,758,329,597,105,979,056,314,343,286,
954,279,924,885,236,435,844,666,637,746,857,748,856,512,533,054,025,619,666,
389,095,118,716,678,976,026,835,667,231,961,719,698,711,216,214,538,317,076,
539,295,659,730,171,157,685,336,615,871,908,379,192,923,301,163,269,839,962,
204,359,701,263,339,493,090,417,816,403,725,550,545,784,555,455,061,577,095,
817,347,309,662,751,232,471,409,456,115,476,331,667,953,925,894,676,280,574,
936,646,957,926,846,373,305,061,315,148,752,265,715,993,663,562,104,888,884,
075,518,304,026,539,234,604,638,923,267,273,767,247,100,958,233,203,657,259,
466,331,431,726,538,047,006,008,255,000,730,853,979,380,495,825,641,359,487,
306,718,616,311,706,255,604,180,015,347,897,488,733,172,867,129,441,648,351,
139,768,885,552,122,126,885,000,517,110,310,455,885,362,552,280,832,128,923,
053,587,226,833,844,458,280,453,703,667,319,302,580,052,964,046,235,827,386,
536,488,418,019,394,782,726,801,254,190,160,973,806,504,854,108,884,090,640,
178,142,971,996,174,335,700,187,114,947,523,687,708,069,719,385,426,170,111,
607,028,406,192,691,864,626,002,921,335,114,608,179,627,807,784,736,483,204,
298,704,777,281,291,864,805,610,088,298,587,919,059,417,602,327,996,380,927,
792,502,138,066,747,405,260,619,624,870,952,762,298,204,796,625,585,836,394,
886,749,487,263,765,081,135,938,175,315,270,380,155,718,734,926,873,284,619,
110,800,433,547,552,531,899,435,197,333,262,884,685,003,254,615,228,428,815,
970,917,884,253,550,923,153,707,500,441,059,614,466,753,285,779,189,619,538,
838,806,316,844,555,721,827,514,629,048,673,645,889,976,814,502,627,783,586,
846,644,822,559,523,077,467,783,622,547,785,937,843,146,179,147,484,227,701,
421,514,961,619,440,100,953,641,618,575,894,470,165,811,580,618,774,244,978,
888,411,248,204,981,518,197,498,811,878,787,555,109,246,417,641,934,697,833,
831,215,906,235,226,613,428,306,114,097,668,569,385,439,803,973,755,602,961,
672,888,677,207,719,635,587,773,757,284,118,222,154,397,446,382,693,093,595,
807,662,857,836,322,240,102,767,468,453,899,315,225,306,032,320,106,071,099,
630,923,088,408,807,938,983,044,374,334,896,975,062,995,108,161,270,794,629,
811,746,681,559,365,465,999,044,487,656,572,730,321,764,744,055,022,848,956,
425,056,134,196,320,967,182,549,831,906,816,358,260,191,335,177,281,611,387,
915,940,533,294,560,366,008,998,213,947,833,446,695,884,122,796,745,510,197,
461,398,921,237,434,956,571,555,891,469,910,477,974,540,006,568,726,664,708,
264,787,265,096,827,247,528,970,930,274,549,694,704,077,664,778,086,027,104,
952,368,059,242,259,773,757,789,306,524,896,355,244,400,037,056,702,230,554,
239,923,461,224,233,869,331,920,643,043,959,430,887,521,709,261,054,629,295,
628,799,422,924,195,606,899,465,615,316,095,649,264,840,027,983,639,878,803,
017,973,491,000,190,334,317,106,137,511,843,167,078,197,944,967,504,174,392,
389,370,821,959,146,251,178,299,906,492,403,127,844,926,026,188,328,195,383,
288,535,503,460,113,248,407,324,203,248,620,474,173,024,601,700,049,962,876,
228,060,691,826,227,541,291,257,932,925,514,698,749,158,261,378,441,614,459,
564,879,422,156,307,700,465,764,723,134,669,444,188,897,861,192,521,254,547,
082,934,382,625,978,334,844,885,553,644,601,105,242,286,148,685,981,691,137,
137,647,090,234,710,121,156,724,253,245,444,415,165,769,593,084,105,613,950,
646,927,454,035,149,433,878,762,954,909,094,548,930,336,274,501,422,087,861,
349,946,857,123,444,142,809,800,214,724,029,527,049,377,140,702,573,413,529,
203,086,217,580,708,895,165,038,580,462,197,455,700,263,335,598,980,994,741,
103,486,807,775,497,335,301,815,746,013,038,095,142,922,393,386,601,174,571,
750,544,358,749,606,745,797,971,350,768,059,708,660,065,192,479,268,475,283,
781,224,513,947,648,748,912,440,540,645,206,096,095,942,743,025,042,951,721,
283,818,456,346,965,511,444,390,300,433,657,595,118,860,790,149,377,975,928,
575,424,262,531,187,648,330,186,673,587,155,431,025,225,272,750,315,383,844,
696,539,541,226,400,864,900,712,045,381,966,447,549,340,203,456,601,127,737,
351,465,080,445,391,245,149,436,860,655,978,372,334,349,690,637,400,350,246,
064,316,837,713,136,131,126,395,872,815,471,220,343,884,420,147,692,955,389,
455,899,936,256,011,898,497,838,311,822,018,541,753,466,253,537,180,625,101,
901,757,278,620,811,260,358,079,111,444,959,702,715,085,467,814,099,747,553,
452,030,676,162,514,540,319,647,537,900,982,336,647,175,467,829,536,128,349,
874,967,462,881,263,855,635,737,277,182,874,219,452,636,590,810,651,273,323,
734,075,348,099,344,443,605,929,876,883,025,056,665,010,386,892,961,301,077,
796,691,311,229,803,929,550,342,956,155,899,597,141,771,938,062,814,372,771,
272,251,770,974,457,058,563,813,293,021,394,677,385,093,297,409,435,536,758,
001,134,767,569,049,443,057,838,801,733,619,662,736,503,965,977,956,138,598,
168,225,740,217,307,534,853,748,416,328,902,923,716,593,343,401,605,634,985,
504,483,975,229,205,080,820,752,815,881,499,851,075,978,921,933,519,000,687,
814,427,150,729,202,582,508,463,529,325,999,023,166,494,559,579,677,380,132,
113,687,277,858,122,936,187,143,473,511,671,886,789,050,207,245,744,769,337,
875,998,303,903,367,061,721,888,634,517,129,534,882,303,348,200,445,754,817,
469,236,913,769,323,708,506,007,928,303,031,776,470,662,375,083,351,849,383,
342,573,151,429,330,895,754,439,673,372,080,451,750,150,316,129,178,756,564,
633,154,222,654,091,470,101,954,675,656,349,044,374,941,524,159,848,643,200,
543,795,573,295,313,620,994,035,874,060,796,059,120,288,101,859,997,086,706,
017,602,448,972,754,411,658,164,451,811,220,900,268,722,718,872,762,798,815,
311,828,367,950,323,742,013,571,993,479,834,794,242,966,383,942,213,202,885,
001,866,900,343,818,037,341,225,021,524,485,210,916,288,974,341,986,482,676,
044,786,607,561,793,056,868,836,332,335,609,243,623,975,372,709,998,994,339,
775,307,489,061,851,049,460,469,482,356,654,597,654,682,076,914,534,410,182,
945,086,596,183,205,059,848,928,369,274,659,491,091,344,689,249,996,052,789,
405,659,609,820,853,136,284,619,476,474,076,375,184,687,406,678,830,161,222,
833,354,301,742,481,105,173,729,272,375,490,297,252,058,985,238,111,167,005,
549,157,161,939,521,669,102,194,623,284,653,976,829,360,879,723,382,580,661,
606,435,739,823,965,642,882,449,194,437,922,855,264,603,208,291,338,233,309,
343,154,924,521,379,345,845,316,508,981,649,032,939,346,950,973,607,014,976,
986,778,793,463,931,820,828,697,387,858,535,033,438,778,781,288,418,399,876,
003,585,407,591,516,628,929,777,857,564,016,259,335,142,852,826,992,895,756,
178,969,013,207,114,706,434,491,647,408,131,630,922,359,990,287,482,902,515,
985,859,195,312,301,970,106,723,786,786,624,545,791,162,450,923,301,586,212,
447,319,961,209,850,361,332,881,469,145,518,034,166,382,633,139,761,389,747,
059,853,067,177,749,142,564,917,957,123,604,745,782,734,062,509,604,695,005,
033,686,025,746,493,979,346,002,566,971,794,172,740,159,738,789,093,789,392,
175,824,608,006,254,862,022,797,246,197,186,872,275,370,321,814,648,176,124,
747,702,315,123,300,022,466,589,291,477,801,430,618,278,728,955,585,768,985,
058,885,259,001,405,119,203,493,974,161,483,420,364,075,683,210,906,791,589,
732,275,415,099,366,179,301,237,898,346,194,277,954,540,980,402,363,000,662,
570,620,843,608,857,802,582,146,147,025,115,383,798,848,690,093,926,012,089,
097,826,639,799,758,694,945,081,422,850,400,033,161,955,684,967,825,672,835,
379,647,656,732,416,441,072,628,739,782,988,185,496,350,216,608,851,765,869,
654,230,952,244,358,208,236,997,823,695,511,988,414,687,528,217,031,718,216,
648,631,384,511,665,918,979,505,667,578,167,202,596,654,086,911,291,197,757,
325,854,762,219,581,963,458,468,666,056,685,347,607,995,797,693,996,456,559,
524,781,198,065,918,783,701,899,560,844,819,560,147,629,519,851,747,911,829,
128,536,727,470,032,302,873,937,996,706,896,169,004,664,173,486,929,631,150,
177,910,125,722,145,443,702,152,542,223,602,296,396,540,084,729,666,579,157,
786,647,645,420,029,743,368,882,230,623,928,038,023,485,951,282,407,662,610,
996,625,906,452,799,566,432,289,316,675,369,133,471,679,783,503,360,622,787,
350,045,626,377,908,215,832,260,293,936,516,874,457,266,922,751,127,715,411,
314,999,131,759,777,535,066,959,537,925,486,905,346,832,078,632,634,179,093,
737,820,141,353,092,818,289,116,205,896,679,294,575,506,618,137,563,134,069,
037,660,824,891,784,357,924,158,324,805,470,458,614,657,856,592,887,764,017,
874,402,153,310,234,179,191,718,608,784,612,848,919,846,932,698,430,957,106,
110,349,231,642,571,809,345,749,166,971,654,589,733,399,292,442,817,126,853,
512,024,918,873,794,734,506,055,157,891,266,414,156,872,839,586,430,269,425,
780,998,520,935,862,554,747,240,886,368,835,284,385,916,593,833,289,893,312,
295,225,719,714,102,131,599,059,782,334,880,368,201,462,333,942,080,819,809,
573,532,547,587,554,122,891,093,214,033,333,587,510,193,981,779,948,124,395,
522,313,618,612,131,877,811,629,416,511,545,028,057,116,391,662,034,378,491,
981,471,836,396,152,965,587,327,816,923,964,064,979,719,772,339,371,754,695,
066,740,261,820,848,070,608,398,370,467,530,970,927,402,968,697,054,975,805,
577,637,940,379,708,623,858,042,763,890,471,535,275,966,539,218,633,705,984,
205,080,175,160,465,793,227,213,147,483,037,177,521,424,830,888,998,724,653,
226,113,290,610,150,721,890,814,036,115,821,407,338,092,814,818,718,322,133,
064,688,221,708,466,021,116,892,139,578,953,738,890,585,224,758,402,802,240,
524,854,874,525,682,364,494,327,005,622,531,391,929,721,363,241,622,023,765,
446,242,445,628,135,544,117,027,616,758,741,560,837,820,974,888,490,890,245,
272,183,098,453,299,671,721,044,858,091,941,185,732,065,287,822,848,035,706,
122,178,780,040,829,897,275,818,938,631,387,907,002,795,007,403,662,258,117,
717,239,911,757,532,040,342,461,684,954,567,103,121,852,333,096,672,045,971,
171,444,766,256,015,863,540,098,170,729,855,991,965,925,081,631,834,352,168,
249,094,123,711,281,550,245,860,628,105,490,401,280,646,717,594,354,933,059,
024,642,775,936,081,461,127,143,615,962,964,780,720,500,765,150,975,409,645,
386,700,775,221,213,123,524,687,155,330,285,481,242,528,416,523,437,377,671,
458,999,185,519,193,508,248,747,235,337,224,038,447,724,271,479,964,762,426,
121,450,679,083,037,043,868,382,855,091,255,529,381,084,599,846,802,057,240,
201,385,383,154,412,135,156,449,298,976,584,926,142,183,267,270,092,136,894,
657,825,861,007,566,376,469,772,177,876,585,266,270,738,650,340,959,850,342,
276,030,611,638,959,944,348,885,168,430,045,825,255,188,575,105,290,512,059,
565,609,533,949,119,439,185,883,525,348,697,533,571,992,956,117,543,939,528,
850,935,639,049,962,591,667,299,808,047,182,610,435,613,949,768,810,351,678,
396,413,450,925,486,544,010,231,767,132,363,835,550,532,670,588,257,053,616,
605,982,075,946,672,318,220,833,742,841,234,314,427,749,043,776,345,270,915,
849,011,666,440,339,784,753,721,225,108,567,246,459,898,617,434,310,624,703,
967,470,115,891,916,403,279,344,305,843,943,398,239,938,788,810,105,362,596,
831,937,073,275,243,057,670,075,947,182,899,543,230,317,665,454,663,611,814,
264,872,323,211,200,509,129,596,994,642,164,648,231,750,750,261,671,974,373,
756,504,926,507,664,567,562,323,842,864,026,599,358,697,911,953,370,474,319,
744,005,426,819,550,519,602,692,332,275,918,155,669,403,647,192,290,210,577,
814,083,538,343,477,056,650,435,294,870,487,398,573,198,985,039,549,904,627,
041,493,474,654,241,914,131,405,742,662,740,410,770,661,315,828,224,005,325,
392,922,898,614,218,510,938,122,805,074,024,720,760,253,415,595,865,196,570,
643,217,030,397,439,576,842,425,896,897,339,786,730,797,245,918,881,204,162,
632,665,042,716,652,771,209,666,186,582,773,410,583,575,289,225,516,168,331,
048,580,832,631,427,934,442,795,227,922,462,320,135,554,184,753,575,509,365,
574,152,894,479,380,043,823,615,585,536,608,211,383,024,965,638,364,789,243,
542,961,427,621,065,616,436,634,369,507,611,411,443,265,286,638,679,554,584,
547,477,810,390,234,441,559,746,814,065,096,882,080,663,163,063,091,766,018,
855,891,942,795,124,670,063,097,585,111,366,060,412,969,281,882,712,249,655,
125,494,648,162,643,324,198,956,169,536,855,265,282,383,840,118,564,113,240,
223,953,869,434,209,899,773,544,045,219,882,912,739,466,712,746,339,806,559,
175,839,403,574,010,647,068,382,665,782,018,006,427,893,334,446,161,699,808,
956,606,072,249,164,391,002,861,696,595,438,009,870,380,708,878,293,098,847,
821,969,279,529,261,705,875,399,307,697,251,958,655,457,156,956,854,141,252,
798,332,322,110,643,676,926,502,955,741,170,238,250,864,456,773,487,568,480,
316,902,100,625,153,804,629,914,783,995,745,455,841,984,252,946,299,725,470,
738,457,894,330,482,213,156,408,381,509,663,489,042,590,354,042,651,970,488,
609,857,458,346,689,662,885,419,069,615,216,992,702,357,242,252,618,921,678,
356,736,257,034,812,431,364,480,212,676,068,776,809,810,520,206,204,376,513,
936,373,869,481,595,857,318,003,911,826,980,568,229,235,990,618,685,301,491,
725,783,744,669,690,949,931,352,078,258,826,541,136,165,131,876,702,019,866,
755,215,086,999,218,331,126,879,198,914,994,438,858,093,644,941,383,503,305,
526,839,834,384,329,259,807,399,276,527,935,926,937,735,123,898,489,556,842,
428,681,770,232,717,163,459,076,305,835,422,083,508,269,978,504,008,344,393,
549,529,391,369,481,444,107,731,118,187,000,848,523,358,557,045,733,726,516,
626,782,289,763,235,398,655,186,116,568,256,383,967,020,287,596,037,266,344,
015,692,324,507,097,752,123,873,084,764,590,455,320,330,685,860,596,058,153,
917,952,714,207,467,351,280,975,759,940,439,246,389,089,584,127,048,749,155,
972,700,694,527,394,438,589,187,082,659,849,239,344,613,410,851,345,691,774,
884,030,222,548,743,616,745,210,345,341,634,477,230,515,554,660,985,867,013,
533,168,626,289,254,950,015,681,791,566,087,337,689,248,611,294,793,722,889,
623,954,962,620,367,230,279,112,917,086,617,896,028,646,718,196,005,299,044,
040,196,354,023,011,613,216,388,345,851,704,298,381,864,071,912,509,430,584,
826,926,289,356,892,168,613,840,691,397,089,171,546,250,645,552,597,081,773,
788,739,268,006,951,956,406,103,175,725,586,721,067,314,911,942,894,036,516,
329,639,286,709,576,513,847,494,464,131,366,379,515,053,759,186,439,486,692,
623,145,545,398,374,839,320,041,183,335,365,225,966,199,727,897,944,893,589,
120,658,891,098,199,413,650,048,235,085,479,058,896,306,166,404,518,798,922,
288,818,244,713,706,453,650,004,884,617,554,828,008,078,304,233,680,886,525,
260,325,250,291,383,680,184,105,037,958,377,717,427,205,240,512,503,442,695,
295,503,880,072,025,066,535,534,996,738,270,309,751,134,870,789,108,283,825,
594,454,906,350,120,611,675,071,794,031,018,570,031,133,700,351,067,143,360,
953,027,130,554,693,244,406,167,718,680,065,683,781,049,419,691,517,757,550,
048,116,346,616,707,272,194,883,603,661,540,382,760,771,918,066,199,550,748,
338,116,758,055,885,667,564,553,813,233,607,049,710,106,809,653,521,789,597,
029,252,667,491,870,368,218,392,422,274,834,723,810,173,049,629,963,903,075,
583,969,122,882,980,445,537,266,171,958,155,312,333,331,130,947,224,175,739,
136,921,142,913,494,113,845,275,048,585,492,070,275,964,832,725,210,438,480,
387,169,558,250,544,158,244,745,621,984,086,449,864,111,236,254,232,572,475,
812,155,844,860,956,859,017,385,722,667,614,214,092,651,624,098,604,392,314,
175,011,398,251,153,551,577,672,072,091,701,783,137,212,614,763,641,114,272,
441,852,334,093,993,415,464,756,869,652,372,637,211,247,840,524,837,297,225,
795,510,501,232,396,822,348,885,708,322,523,344,028,479,204,645,048,322,466,
121,924,948,254,020,933,371,902,926,313,668,077,988,735,047,294,311,142,520,
977,180,550,174,976,639,686,329,989,357,759,821,673,398,011,977,601,446,707,
100,376,934,253,799,658,335,987,645,494,517,139,469,888,996,815,863,261,563,
905,406,935,079,453,004,083,657,106,655,593,305,897,731,053,929,165,871,428,
323,226,407,392,782,153,824,183,870,395,488,186,799,433,709,469,493,503,953,
517,441,947,044,802,391,141,260,913,335,960,588,880,691,691,723,887,473,910,
429,213,365,747,772,667,222,290,232,731,170,290,283,281,322,535,670,428,095,
003,780,802,310,443,718,592,741,597,097,120,127,098,979,361,669,796,253,675,
867,201,917,572,117,456,663,041,274,503,457,406,749,914,678,343,790,245,339,
041,413,401,263,404,766,681,275,887,963,688,458,572,760,578,909,594,252,067,
366,056,758,256,568,309,595,746,718,709,164,961,262,207,121,054,479,197,984,
362,506,045,116,335,549,388,844,135,617,506,227,472,001,951,176,456,960,338,
877,109,388,700,615,008,608,261,034,802,449,622,904,496,514,578,836,471,708,
799,267,984,214,871,066,760,954,442,840,229,282,197,192,140,637,825,521,524,
299,170,784,758,366,614,923,780,844,800,964,548,484,599,322,352,917,361,304,
208,345,682,978,903,933,241,973,770,481,941,552,777,940,336,275,300,453,511,
646,234,821,963,486,760,750,559,612,908,808,312,653,371,890,765,913,970,159,
130,793,349,413,495,268,691,037,388,785,741,373,603,895,183,172,154,462,943,
256,133,160,863,337,837,831,656,415,306,254,312,409,111,266,822,080,608,521,
800,629,071,387,071,910,276,876,955,842,245,011,623,120,328,650,982,601,434,
898,294,467,113,349,124,019,622,330,197,069,881,771,217,108,709,566,195,752,
201,614,174,946,578,764,186,906,248,364,590,792,107,782,447,445,778,694,284,
337,993,327,685,545,448,993,744,422,323,342,909,903,603,675,046,801,747,409,
788,661,459,710,493,236,278,097,897,929,994,049,736,258,628,434,494,075,511,
599,731,225,707,571,605,700,555,228,759,250,207,245,402,720,480,785,656,633,
523,513,196,503,556,955,133,528,941,354,809,355,068,485,471,038,194,689,831,
010,104,135,513,922,848,197,773,470,590,541,354,381,566,380,327,301,539,517,
048,672,733,557,750,239,104,013,205,420,590,949,250,698,601,650,930,402,007,
844,378,691,938,823,587,551,217,150,076,697,491,356,050,410,857,409,539,329,
178,785,592,768,256,278,392,807,695,469,219,629,857,966,952,417,338,405,848,
961,496,551,516,764,857,332,702,864,182,598,305,887,402,098,206,969,863,796,
449,121,233,872,838,276,378,439,699,247,459,743,379,191,361,756,795,798,297,
340,210,174,825,422,033,832,048,830,333,691,242,079,334,126,633,870,599,788,
042,072,984,199,287,230,245,530,070,810,564,598,512,155,717,540,787,106,946,
144,470,434,980,318,521,318,948,003,144,016,539,443,929,975,804,642,053,544,
040,153,326,445,617,268,336,946,501,800,804,492,342,080,416,924,110,985,689,
005,168,555,917,110,153,140,761,884,731,128,727,455,880,953,954,592,436,429,
528,512,283,503,891,100,625,535,596,904,400,793,744,983,318,363,514,260,150,
139,096,304,340,807,784,993,798,391,352,920,848,161,851,241,755,961,471,079,
423,102,591,469,806,980,654,961,384,418,485,294,897,670,181,155,264,950,206,
370,755,886,901,165,578,478,357,719,135,771,230,626,616,390,631,580,601,188,
148,722,045,366,920,569,306,481,314,551,503,457,642,435,200,928,673,120,521,
799,487,685,129,794,551,923,727,325,418,582,723,002,726,276,794,078,546,357,
405,606,235,835,172,437,981,359,999,177,221,117,115,963,468,234,814,726,793,
057,045,220,349,473,987,510,404,805,584,173,472,133,830,783,564,285,910,280,
996,203,462,743,862,545,884,316,903,820,115,324,250,891,340,914,304,020,291,
052,383,987,971,434,061,217,885,370,874,463,809,950,432,626,071,522,401,566,
793,413,745,854,397,346,986,679,142,307,929,593,734,868,319,986,504,195,535,
019,930,719,176,118,194,064,406,950,564,588,191,694,170,672,315,815,446,840,
140,666,266,334,913,501,365,765,627,209,325,851,708,236,134,839,682,443,593,
685,357,926,062,028,948,819,251,946,943,425,413,072,089,077,076,197,102,165,
125,975,247,951,740,879,178,048,274,647,077,092,827,150,681,217,811,444,246,
593,854,888,571,749,081,998,660,136,154,564,713,167,756,037,889,487,493,824,
120,049,781,892,904,206,930,726,565,092,289,815,605,428,954,513,167,837,690,
144,708,824,183,145,967,353,136,167,213,612,347,239,100,515,066,472,795,228,
146,973,480,415,381,430,268,580,956,173,884,644,046,231,945,485,748,041,876,
576,249,597,802,132,091,487,411,795,599,490,152,462,159,507,459,700,024,595,
838,264,101,066,375,617,108,650,838,981,345,753,362,337,723,058,968,261,523,
932,430,519,755,807,628,600,333,674,090,307,660,322,159,916,748,287,254,333,
150,092,251,395,855,003,920,240,301,545,136,934,359,390,805,011,852,693,087,
003,890,992,345,115,981,784,196,040,689,302,093,809,431,237,876,241,210,251,
286,867,689,452,007,684,855,929,616,457,810,386,293,958,777,411,616,820,484,
429,137,654,184,422,117,519,840,288,402,494,445,678,814,071,675,022,356,451,
138,330,737,187,072,183,189,487,931,461,167,279,407,841,218,286,004,667,765,
218,668,379,998,845,928,888,573,153,594,836,823,317,053,432,611,219,702,285,
507,053,128,766,531,812,141,102,014,967,692,392,083,292,005,415,853,553,739,
231,677,317,935,129,680,257,915,330,524,280,085,889,131,632,432,761,400,619,
228,848,374,700,428,346,144,877,544,985,163,951,712,412,566,065,379,567,401,
634,468,765,313,608,543,805,839,502,606,784,391,666,758,786,585,857,949,115,
473,539,745,983,416,794,703,293,461,664,727,317,465,814,008,536,376,927,402,
027,138,734,200,537,880,343,625,900,000,270,609,572,219,497,453,264,906,505,
215,852,660,475,103,769,032,039,605,677,298,708,762,686,660,409,275,910,722,
536,651,462,418,741,064,092,783,912,727,297,205,663,165,039,639,393,850,963,
917,152,571,602,911,086,323,223,830,946,365,617,766,994,589,520,739,072,219,
337,732,668,113,171,956,827,153,546,208,001,163,130,087,708,354,562,442,731,
714,969,746,525,491,454,188,500,591,031,093,123,253,431,980,472,771,501,161,
277,355,499,019,083,803,859,179,532,728,802,804,301,365,408,667,922,690,541,
044,246,430,911,733,892,650,120,322,908,813,958,749,671,463,981,751,821,999,
695,709,616,865,320,885,500,998,609,469,595,895,028,249,479,151,645,682,695,
845,705,984,091,517,928,767,683,899,839,314,424,981,645,825,295,589,161,092,
596,383,053,862,689,076,677,574,074,163,583,651,487,186,515,245,682,793,527,
612,012,166,330,798,016,747,645,084,415,134,536,480,018,422,674,075,761,579,
684,096,585,076,084,622,651,175,356,517,364,926,349,704,332,399,642,673,633,
219,316,286,469,408,469,350,878,933,304,182,378,428,868,408,484,291,800,315,
138,612,816,089,507,937,329,918,214,099,994,348,320,548,427,401,624,660,191,
168,754,972,956,316,164,684,374,362,759,685,671,926,479,466,944,029,449,989,
309,736,683,253,529,291,539,795,225,512,384,142,999,438,054,925,528,566,045,
869,095,372,545,962,701,098,842,576,529,544,884,458,034,279,518,853,537,299,
371,942,763,192,809,517,424,308,453,644,526,556,535,966,783,612,129,538,355,
791,118,646,045,948,826,338,019,737,528,185,012,258,684,529,470,510,849,681,
197,192,126,104,116,685,416,869,531,517,847,284,359,658,141,130,955,897,088,
623,520,721,821,700,671,039,641,952,852,651,520,510,606,592,918,956,692,189,
151,859,964,312,090,715,923,552,163,151,139,568,458,448,952,214,623,018,609,
690,581,521,262,307,266,443,163,082,793,412,503,359,058,724,598,418,213,801,
375,421,058,321,680,169,539,397,179,980,621,362,996,221,055,437,171,195,251,
788,341,798,682,781,667,053,134,038,406,302,028,134,887,619,810,554,317,160,
491,710,578,194,852,666,360,794,787,403,429,512,442,882,938,787,509,493,260,
134,435,831,912,027,650,264,608,549,664,946,503,022,496,179,722,411,778,079,
834,256,530,922,510,970,745,629,286,574,461,660,560,513,627,192,645,012,212,
386,105,711,399,190,848,304,137,682,159,007,916,387,476,458,404,748,650,752,
695,543,432,962,664,663,626,921,784,025,450,036,366,926,725,010,864,249,149,
342,891,127,963,364,464,428,766,321,522,572,272,443,754,036,583,116,929,889,
775,771,259,663,570,632,645,030,938,248,856,828,713,484,335,891,546,345,780,
003,452,367,430,077,428,734,565,859,772,739,859,175,620,277,636,235,920,992,
112,633,997,527,905,621,523,075,630,654,057,146,866,783,142,872,433,762,542,
369,453,970,481,726,324,839,888,570,097,789,468,102,191,363,043,817,121,610,
748,376,991,494,907,573,365,283,314,954,053,704,643,236,908,181,524,919,501,
244,543,588,958,281,827,021,591,243,654,050,430,876,035,633,998,856,808,401,
541,326,808,078,476,743,267,999,268,891,948,868,703,025,509,591,880,719,338,
994,031,931,054,275,172,860,680,480,027,712,405,273,582,930,284,674,093,537,
870,914,105,303,876,114,148,305,056,552,034,554,562,471,031,934,427,538,850,
154,558,141,479,135,901,454,814,056,174,997,380,226,363,980,316,027,470,921,
212,250,799,084,812,673,624,181,569,888,038,807,244,773,205,777,931,948,541,
540,620,930,660,410,410,271,935,740,713,704,414,689,041,871,626,569,597,132,
505,905,772,287,390,803,552,343,272,602,863,753,225,939,010,706,068,384,943,
087,884,242,876,022,747,505,817,395,386,198,553,312,462,929,914,109,020,325,
263,602,605,631,064,853,826,994,294,410,755,635,680,041,128,186,005,118,494,
223,935,972,449,465,994,012,282,631,004,628,422,094,758,831,568,718,802,925,
996,506,641,281,864,895,125,164,712,325,079,358,141,264,572,775,368,803,443,
526,731,120,599,310,658,675,885,579,584,548,580,299,655,478,906,879,771,638,
000,779,591,636,897,982,977,730,705,023,686,063,225,224,761,539,028,885,192,
588,207,828,979,388,875,685,373,543,686,276,620,857,289,818,580,403,076,359,
765,201,801,345,426,583,881,159,598,053,485,941,250,898,250,815,677,780,095,
510,009,282,829,111,404,226,733,863,404,862,455,545,667,713,642,343,186,923,
121,266,948,662,882,614,293,060,336,456,135,399,759,453,840,794,992,580,520,
726,814,554,922,017,564,595,272,482,748,397,179,439,178,611,881,911,637,766,
146,623,704,882,272,077,077,119,875,675,089,891,352,330,587,654,424,595,971,
145,045,503,918,952,664,679,658,000,832,134,854,920,670,554,205,290,514,318,
728,088,939,294,332,787,595,827,175,761,680,691,390,948,815,285,603,782,155,
107,339,739,675,686,766,405,744,533,832,700,395,329,514,907,589,046,665,544,
919,567,564,362,354,261,008,180,990,724,853,331,565,626,773,225,129,934,396,
358,880,733,026,574,888,816,964,546,054,842,385,628,844,668,066,339,876,351,
448,641,163,159,333,394,084,231,659,925,405,001,474,385,793,514,656,269,818,
743,911,056,872,620,167,801,263,350,870,768,151,110,697,532,147,165,501,355,
380,634,567,083,121,354,730,610,671,262,217,259,448,206,036,335,397,600,762,
548,089,240,632,162,008,220,975,800,580,054,895,450,138,109,036,410,511,468,
712,737,422,322,481,330,523,811,227,512,856,769,304,879,008,331,377,423,837,
948,305,219,223,068,852,275,208,035,302,940,820,392,055,866,044,107,785,991,
512,166,771,086,419,200,984,294,014,128,375,038,898,836,536,897,179,609,672,
719,951,058,838,582,408,701,243,738,866,599,348,365,341,370,304,920,361,914,
481,958,764,915,040,133,544,088,031,271,452,949,677,904,793,638,460,549,406,
868,861,235,051,337,629,425,541,941,509,955,230,836,196,560,555,361,420,455,
863,408,644,899,793,476,675,482,567,649,308,026,936,989,266,693,958,028,253,
550,638,270,088,444,916,353,651,859,413,710,774,716,122,780,149,789,586,561,
901,572,793,237,210,939,559,900,153,481,666,100,007,476,427,180,843,721,880,
663,336,657,972,149,509,768,566,584,141,115,378,084,375,294,796,762,783,136,
061,532,184,391,028,645,683,705,013,584,788,149,863,760,038,960,575,812,062,
066,889,588,599,091,752,241,131,055,344,559,075,211,236,030,627,340,615,604,
127,073,932,676,546,136,332,545,119,220,551,553,065,033,047,884,318,735,749,
124,211,012,187,686,514,820,400,862,056,062,862,477,887,737,020,350,653,399,
399,907,398,623,847,748,339,798,501,022,883,567,784,973,481,299,967,234,538,
720,869,065,508,232,241,297,693,196,325,448,671,385,581,020,680,981,361,126,
904,979,104,670,162,022,241,764,537,541,504,845,502,940,314,744,960,321,511,
130,728,530,246,776,265,613,253,845,973,962,460,149,449,837,343,175,655,951,
739,564,699,390,930,178,018,902,561,433,337,140,670,709,656,862,770,610,612,
487,454,747,228,935,713,499,131,954,573,279,749,883,208,192,280,138,052,951,
272,298,568,023,581,810,057,026,779,526,487,035,185,934,600,771,200,491,912,
358,875,302,142,676,536,855,737,481,370,486,532,205,894,460,315,415,536,701,
750,551,192,930,381,370,653,386,790,813,853,503,185,056,686,427,319,273,940,
406,588,675,641,157,881,976,174,570,573,863,976,633,072,990,551,294,921,098,
389,898,205,732,564,027,497,800,065,736,587,712,981,822,570,706,847,881,039,
075,465,230,950,411,612,884,662,547,697,566,456,545,693,570,551,950,332,440,
752,900,003,529,016,345,529,447,014,161,777,880,038,998,359,513,961,592,455,
362,168,745,345,337,858,597,002,623,714,783,363,311,466,597,121,948,520,250,
980,014,255,582,139,434,491,790,728,298,249,153,817,784,094,536,663,638,292,
189,361,231,559,987,107,043,750,732,120,806,656,993,531,487,383,415,046,999,
635,313,013,304,182,404,436,771,577,383,308,024,539,407,369,471,211,448,833,
830,879,456,878,287,734,051,978,093,741,743,768,119,150,604,690,986,782,024,
504,139,668,582,160,926,366,124,503,189,824,323,212,347,722,671,716,810,986,
656,455,609,143,318,370,971,103,684,142,414,967,994,969,521,248,499,644,891,
229,640,536,402,236,643,854,184,464,295,873,518,191,660,953,477,147,985,924,
817,006,583,413,698,261,459,309,041,034,363,301,100,494,480,102,115,137,405,
652,931,333,194,418,269,488,583,520,205,333,009,484,118,406,718,868,925,924,
386,318,925,822,183,243,045,502,724,766,762,305,707,619,966,490,625,188,048,
332,322,419,427,873,525,695,558,303,730,818,922,442,558,835,057,939,530,682,
586,371,651,647,164,212,426,467,345,556,697,675,753,338,812,393,129,118,446,
091,455,375,369,327,107,154,132,264,996,237,181,098,915,216,767,975,863,869,
197,081,078,291,032,061,612,337,485,118,936,103,942,590,384,097,333,796,373,
404,630,997,765,758,660,460,291,615,150,393,079,994,728,888,172,001,416,805,
288,822,592,285,201,063,152,302,383,906,718,629,503,937,257,589,738,664,446,
672,153,968,089,100,084,148,415,913,732,794,684,410,442,349,859,889,179,439,
551,221,238,373,258,483,416,606,354,018,568,301,452,114,417,814,700,716,789,
363,706,490,748,318,977,198,097,642,577,987,706,875,250,832,806,735,186,466,
764,613,772,215,552,707,876,693,154,811,205,530,252,768,254,411,430,167,043,
377,513,821,292,662,961,673,124,187,854,292,700,173,555,032,478,105,651,375,
028,223,734,907,482,774,325,307,878,592,057,166,365,391,747,267,059,540,252,
728,898,250,840,794,961,685,813,208,880,195,197,467,024,690,891,352,169,559,
045,869,525,695,756,586,598,705,877,545,675,689,885,326,183,452,605,566,080,
178,988,920,170,682,921,102,194,876,742,717,505,434,848,188,404,199,764,653,
233,258,810,648,873,337,995,074,986,826,762,719,298,886,810,385,503,719,226,
129,629,536,468,448,870,439,902,392,968,505,134,539,094,663,339,836,238,179,
894,112,877,298,330,746,344,361,718,218,396,687,222,171,761,654,211,982,070,
441,263,300,231,968,902,846,033,344,387,888,591,889,239,379,448,471,614,347,
280,353,662,266,803,625,805,983,563,876,144,532,532,833,284,562,344,769,589,
368,412,752,310,806,732,415,188,734,311,656,323,808,390,756,639,394,482,866,
198,598,308,492,044,296,001,249,471,404,103,121,332,574,115,163,422,398,446,
769,042,720,585,638,148,819,677,874,308,623,024,177,770,038,892,517,486,150,
260,676,706,915,625,410,590,437,005,543,074,732,645,556,204,126,378,140,716,
112,639,251,182,139,097,674,310,007,454,469,207,722,322,831,715,339,058,212,
541,788,650,593,870,185,833,531,268,635,435,769,034,943,035,275,010,768,328,
549,837,852,092,405,579,846,520,694,559,165,393,213,317,407,645,454,078,266,
774,114,625,920,597,358,001,117,160,346,709,361,537,491,671,763,594,405,276,
877,623,690,735,825,028,878,479,036,433,550,278,319,824,264,910,796,834,233,
454,149,861,871,086,411,699,076,477,473,544,620,696,422,436,604,073,434,024,
574,939,614,966,845,943,575,933,070,318,112,027,913,722,597,746,929,910,871,
574,931,368,829,937,728,016,484,958,065,344,027,339,155,222,388,175,971,747,
862,246,856,791,968,776,740,030,071,597,179,768,661,821,135,967,115,585,434,
264,542,647,430,991,268,675,517,911,068,007,120,508,479,872,205,901,437,365,
655,920,956,701,302,998,262,392,650,829,638,297,192,700,399,015,764,122,330,
298,663,483,789,512,803,689,185,800,247,380,825,931,585,411,285,834,937,399,
689,547,962,278,425,801,689,371,120,403,180,081,176,929,622,449,228,435,436,
325,847,043,630,382,384,904,478,643,971,940,712,646,401,669,350,822,633,231,
707,787,296,069,170,718,306,768,428,338,693,736,989,956,573,970,515,492,908,
269,718,713,751,635,439,141,457,043,779,233,714,088,882,120,338,602,157,679,
586,932,660,802,628,115,213,610,592,660,993,879,895,334,814,950,424,061,589,
046,427,576,841,790,549,208,006,072,581,997,757,031,977,824,787,872,255,098,
130,905,234,437,382,301,388,137,424,906,296,360,049,830,274,873,053,458,774,
543,219,719,196,610,639,461,048,651,579,323,164,788,999,296,158,091,782,848,
074,422,714,488,994,747,725,182,209,212,427,063,773,261,684,924,070,735,720,
731,935,296,520,491,144,533,043,081,621,108,145,058,879,029,210,076,408,199,
362,036,261,933,027,259,317,158,896,933,789,951,831,344,570,586,898,500,963,
561,996,657,874,374,156,881,867,468,872,227,889,019,128,374,327,743,241,112,
818,541,709,100,105,368,299,322,393,146,569,323,833,608,809,633,601,622,171,
479,212,638,747,460,000,679,051,254,724,176,955,470,323,898,715,105,374,822,
139,791,268,643,349,681,611,787,188,905,194,818,717,594,688,618,491,680,760,
186,559,865,749,911,009,166,334,042,818,266,029,386,818,555,082,938,002,601,
446,589,397,217,201,253,867,037,359,755,058,745,644,743,641,934,410,337,706,
999,617,442,120,910,617,697,941,329,476,992,312,567,255,293,695,787,971,793,
616,477,796,731,481,383,869,901,094,879,472,883,139,056,641,807,412,087,517,
497,342,520,085,146,126,979,650,069,828,643,773,988,601,586,253,797,040,282,
594,701,837,443,802,734,460,356,877,641,742,403,384,281,501,142,299,223,386,
993,041,616,929,359,263,821,860,623,005,303,178,022,285,547,396,767,589,573,
115,508,013,685,802,369,222,994,607,179,230,574,526,874,151,995,143,436,276,
363,828,633,069,558,555,915,052,049,337,912,172,817,174,436,591,124,596,888,
580,091,395,595,436,558,435,988,288,367,701,347,519,426,260,190,239,621,024,
331,030,795,791,950,645,729,769,261,015,629,859,145,144,019,291,338,965,172,
724,982,890,258,891,561,861,030,887,577,426,990,053,444,550,810,332,057,167,
093,333,183,874,645,260,177,406,351,357,862,797,762,025,215,777,411,378,749,
713,512,194,220,144,244,263,965,515,835,842,994,589,943,291,343,549,258,185,
975,998,877,310,733,384,284,176,688,616,319,196,558,924,798,758,558,604,802,
303,602,509,450,930,365,526,614,174,629,016,155,153,178,254,204,376,271,546,
074,582,631,331,293,321,381,328,851,218,047,693,527,378,909,405,087,020,348,
912,344,275,737,078,857,154,342,680,398,197,530,523,155,755,734,759,103,047,
136,094,776,355,296,169,620,232,979,561,185,251,242,030,889,735,983,734,865,
704,627,764,693,985,943,308,166,988,482,595,625,659,522,809,687,624,358,414,
431,718,770,423,174,062,133,235,018,441,064,788,689,663,038,845,863,984,861,
783,667,178,789,275,200,121,186,825,107,565,924,371,062,488,316,915,747,141,
656,855,813,278,970,690,650,387,702,654,738,156,374,487,348,116,701,409,008,
976,156,218,133,615,223,448,337,280,394,619,088,264,669,505,260,420,654,921,
919,490,648,155,534,606,984,897,245,577,167,975,741,786,229,032,419,389,266,
735,983,178,504,373,646,291,461,684,247,770,353,495,713,516,532,506,088,322,
821,678,046,525,819,040,629,677,361,033,537,226,882,421,228,656,228,360,148,
475,883,139,575,272,432,384,492,463,797,741,904,731,482,332,356,070,940,385,
919,831,382,301,293,120,729,857,410,798,211,277,642,859,570,074,336,848,278,
255,523,816,440,751,239,694,676,553,198,479,151,785,123,426,436,157,302,321,
850,294,757,728,785,536,049,011,074,085,333,653,264,904,897,605,063,472,185,
165,365,548,928,004,084,683,226,546,140,273,907,870,729,549,387,192,677,009,
957,531,771,691,728,490,722,891,938,605,124,829,718,869,589,033,457,520,152,
655,020,206,607,544,087,503,485,448,684,233,754,826,157,731,454,641,390,673,
951,132,223,623,440,458,733,434,289,053,464,476,042,932,640,945,083,201,562,
385,059,462,613,444,833,201,492,704,001,609,576,800,918,402,938,956,300,649,
207,644,534,822,842,015,617,888,240,282,678,201,897,995,184,962,705,823,269,
750,733,167,212,471,343,380,971,892,691,230,697,869,113,328,688,181,219,896,
804,388,693,604,049,453,724,889,640,243,409,117,193,959,823,565,087,406,300,
899,748,652,417,518,053,794,767,827,459,417,107,732,380,034,397,220,248,007,
680,356,394,798,284,893,802,161,529,336,052,387,953,470,636,035,455,775,276,
824,112,336,425,068,511,170,231,429,619,117,202,730,231,406,472,327,755,610,
053,389,114,569,802,637,991,810,695,474,001,016,168,769,850,712,076,451,604,
505,612,432,349,122,165,706,582,206,380,241,216,246,013,386,695,635,053,055,
810,473,659,687,446,465,615,966,651,620,362,870,413,046,190,409,238,510,368,
808,223,798,343,499,902,399,732,164,281,578,876,843,614,089,898,083,869,000,
304,606,926,551,874,418,128,305,558,701,540,412,632,374,913,817,334,829,081,
189,212,858,416,625,529,769,889,213,616,962,450,791,971,933,944,270,396,312,
914,389,648,700,772,549,784,281,912,369,164,444,633,485,101,318,466,285,809,
694,032,384,546,437,981,546,331,089,920,365,319,888,537,442,733,791,646,474,
484,333,128,419,190,565,231,423,206,827,502,618,882,440,055,250,174,305,916,
838,359,057,724,201,394,973,762,839,920,477,203,500,210,812,260,696,052,022,
952,324,888,736,585,915,896,153,610,174,854,648,452,766,131,831,639,131,244,
433,300,173,684,985,802,370,462,379,924,655,712,856,473,601,632,556,200,040,
791,317,383,378,565,368,125,621,632,502,551,137,448,285,555,652,736,396,659,
774,802,416,248,252,323,395,441,774,525,168,911,274,987,069,644,176,817,443,
150,212,803,009,948,169,503,607,182,164,621,743,504,969,270,685,381,870,532,
877,203,276,058,618,563,742,178,395,606,844,536,474,756,000,316,075,091,841,
114,395,808,542,570,481,713,213,574,296,016,213,505,953,763,665,275,099,329,
050,572,388,180,640,739,395,223,229,407,177,378,229,691,466,055,361,125,690,
360,926,827,097,465,804,637,905,774,991,458,285,481,215,823,173,775,681,942,
361,463,071,689,630,633,636,441,134,202,419,083,945,562,391,294,061,180,614,
094,431,409,638,499,699,492,504,694,453,065,282,753,805,164,571,366,008,456,
476,263,168,321,049,415,394,420,844,012,505,239,595,599,284,210,325,363,748,
128,962,195,562,252,967,657,538,484,531,593,093,690,348,565,729,549,921,925,
523,112,831,677,079,626,055,206,591,277,352,160,061,517,690,564,063,560,206,
106,363,987,041,768,557,104,568,719,762,027,825,741,023,281,258,155,580,851,
571,919,292,874,171,889,865,787,859,409,043,421,887,149,158,559,994,859,243,
942,393,627,398,919,861,984,961,776,500,872,706,760,790,217,255,935,995,270,
997,391,372,188,996,582,661,821,536,099,375,278,509,576,849,322,398,931,534,
221,717,957,791,404,421,889,521,229,351,929,064,889,164,881,742,396,282,149,
157,928,730,791,445,512,452,477,786,794,206,756,629,249,880,763,399,088,983,
154,715,469,297,167,371,548,241,285,233,185,140,786,162,637,870,679,651,163,
356,978,065,894,896,506,127,383,810,759,503,587,808,263,089,426,829,660,754,
992,548,251,825,757,054,009,058,494,449,068,125,655,607,022,805,171,202,250,
929,815,872,175,710,392,404,326,867,520,124,296,840,247,672,691,294,758,658,
022,083,954,290,224,469,173,540,777,853,880,666,212,652,086,899,153,862,120,
890,151,940,079,631,117,147,175,660,680,638,652,785,218,042,927,947,706,287,
230,761,532,414,660,452,678,669,305,842,194,312,652,484,091,784,253,887,454,
034,920,100,610,191,505,459,423,030,992,207,736,020,800,333,103,033,845,760,
994,416,113,858,567,536,432,302,652,531,521,995,549,806,563,094,704,394,237,
443,960,089,255,251,976,815,571,753,586,278,748,206,909,802,258,196,207,697,
924,699,835,621,448,140,326,865,420,483,288,454,492,211,031,084,743,839,579,
939,325,553,744,329,245,335,237,261,380,717,872,291,283,304,801,454,453,099,
695,808,953,584,333,495,085,241,116,180,420,072,342,357,701,470,737,157,991,
819,743,363,767,130,601,376,083,002,798,827,701,804,362,041,346,402,179,720,
295,389,181,519,048,771,975,744,706,547,144,665,290,474,552,038,149,288,414,
180,671,552,457,945,092,109,929,571,869,465,779,945,217,412,895,458,439,540,
320,954,802,016,265,521,619,050,397,267,673,464,504,156,840,613,767,055,192,
804,571,037,164,253,994,745,389,456,359,398,781,101,017,188,604,031,980,222,
645,963,003,812,997,228,599,063,135,952,649,434,128,942,804,770,546,059,625,
556,343,520,077,981,550,031,670,310,712,654,900,180,392,557,713,970,997,996,
878,517,265,426,260,001,868,399,475,039,175,233,603,700,509,215,735,797,634,
441,686,406,077,995,344,444,798,299,878,308,117,324,159,568,013,128,057,202,
426,757,465,731,723,321,058,316,232,935,074,095,233,152,088,429,418,089,658,
471,669,600,367,772,100,427,423,220,339,899,744,839,651,250,282,719,629,690,
680,852,683,255,580,683,934,474,270,250,187,212,614,108,345,395,817,166,624,
196,627,192,553,576,530,128,336,591,641,884,029,264,478,905,663,818,292,266,
665,893,855,493,429,972,541,668,829,851,793,484,706,436,772,457,412,112,293,
244,222,259,545,365,829,810,671,074,774,078,681,725,214,225,345,864,025,675,
395,171,218,313,550,444,341,064,807,070,955,009,595,108,514,979,725,649,682,
813,982,101,386,804,054,717,620,689,869,130,576,263,627,485,558,493,202,692,
290,560,363,439,488,223,705,808,977,746,413,659,341,621,095,181,894,218,529,
110,083,514,686,292,787,890,913,106,704,219,942,073,979,692,289,201,100,392,
530,987,828,792,073,315,893,789,554,333,466,805,117,154,131,116,254,732,233,
488,835,278,665,212,741,451,610,743,182,599,204,082,745,630,457,194,222,806,
440,436,459,010,930,322,306,076,458,878,318,083,620,583,503,656,164,785,365,
965,215,909,888,534,642,263,784,488,395,072,765,022,264,617,013,829,928,878,
879,508,866,902,540,227,863,454,237,795,694,162,912,850,430,553,353,685,733,
125,780,784,357,492,415,662,409,755,729,489,366,952,448,082,006,141,081,883,
366,967,108,598,020,150,827,074,419,937,792,124,923,278,029,444,993,676,556,
719,116,314,082,965,486,747,715,870,311,795,859,567,433,501,110,183,190,690,
042,798,295,509,312,479,895,273,356,154,915,891,225,994,247,131,042,573,230,
960,767,936,957,037,817,502,946,836,268,766,875,946,835,965,286,800,842,435,
605,578,858,077,859,592,316,893,625,239,519,280,823,793,215,915,241,030,378,
386,425,508,575,429,649,431,255,325,392,752,896,010,776,141,554,103,684,381,
196,574,892,453,978,016,012,007,093,306,022,411,662,727,650,566,701,044,363,
922,920,110,370,667,572,799,384,163,459,565,456,100,350,521,075,451,838,161,
478,758,485,985,306,834,766,192,654,435,227,480,539,422,306,676,145,868,325,
596,093,406,124,197,979,712,965,537,806,392,185,625,068,179,316,762,429,404,
221,701,040,011,081,584,710,482,664,866,285,976,483,365,759,103,551,574,953,
457,881,438,733,870,241,431,586,022,559,891,523,712,176,699,949,595,745,359,
783,577,638,616,202,313,250,395,371,057,193,726,539,513,568,251,460,423,665,
296,765,920,122,823,368,053,654,420,237,093,333,242,869,257,920,539,485,655,
084,877,832,661,204,527,660,396,587,304,159,265,921,866,528,471,003,117,042,
103,141,876,014,377,123,724,404,098,893,668,884,949,906,185,596,504,024,523,
231,328,149,526,376,410,259,438,748,089,859,710,705,839,317,352,717,114,324,
223,459,483,743,729,861,129,158,280,068,913,545,719,976,944,825,051,440,670,
596,884,673,985,846,541,159,619,959,527,874,920,253,497,153,760,284,225,595,
206,575,348,035,682,964,507,873,912,866,340,071,914,571,153,546,334,052,672,
471,263,953,291,677,476,179,322,817,783,499,214,092,302,973,615,261,150,934,
687,649,124,796,466,229,337,676,791,108,665,006,524,105,550,206,534,571,454,
398,482,609,330,515,885,528,331,772,344,107,442,020,010,126,754,791,920,004,
592,692,081,444,127,712,163,842,226,882,501,660,104,673,693,587,428,548,430,
631,843,106,177,227,752,201,827,268,396,681,628,151,242,262,155,847,266,033,
304,114,048,348,281,808,728,589,771,497,799,664,552,569,884,632,246,635,694,
298,859,406,219,742,026,781,245,328,402,555,696,714,235,875,691,709,402,959,
444,756,876,332,063,779,308,878,307,757,248,675,915,359,280,136,135,412,394,
341,089,710,093,163,087,382,768,623,559,710,039,641,185,894,287,379,362,595,
452,359,237,747,919,416,902,397,141,357,711,198,743,451,558,318,934,270,076,
751,117,475,488,002,073,845,990,850,966,381,641,690,956,618,764,372,504,987,
723,583,875,831,855,375,148,112,978,705,244,287,221,331,751,136,650,400,208,
939,000,616,026,281,180,961,498,256,446,892,156,896,866,768,239,557,770,943,
368,771,418,650,644,069,964,144,772,088,280,732,969,816,188,800,188,049,214,
489,592,662,281,641,822,878,792,725,197,583,837,531,033,474,971,393,581,454,
126,622,392,898,424,348,521,681,690,710,372,915,609,192,341,397,078,794,798,
518,052,407,228,700,582,708,587,763,820,774,995,219,694,938,461,063,334,570,
572,072,156,137,082,317,456,573,270,295,148,497,773,555,972,753,881,939,028,
491,546,740,686,152,399,027,872,035,372,033,905,700,856,630,227,661,209,047,
443,967,903,838,146,828,169,873,253,908,754,469,669,543,264,528,188,602,469,
046,834,679,726,587,485,893,219,197,298,842,557,110,018,420,499,842,297,125,
731,087,252,129,920,978,293,761,744,286,363,781,913,171,137,724,272,227,165,
325,238,783,887,854,316,547,062,760,538,980,609,113,073,092,061,022,345,568,
116,650,190,404,499,172,347,239,116,208,419,431,799,720,615,275,202,107,858,
808,876,636,994,929,849,898,571,560,080,290,546,813,291,354,212,376,128,579,
918,978,923,411,797,543,591,250,831,829,884,583,983,889,717,050,170,684,626,
352,957,778,667,973,255,715,363,838,646,981,525,352,577,563,995,604,591,438,
798,675,503,499,096,028,453,230,275,464,725,396,238,992,840,199,420,713,191,
232,460,442,711,435,484,015,787,389,630,063,316,062,373,065,385,255,262,524,
576,780,152,438,085,485,071,314,482,671,535,864,406,067,127,732,123,199,665,
866,961,902,470,579,461,561,105,300,676,856,317,874,665,795,681,841,122,395,
544,817,193,416,434,653,669,134,222,542,591,478,252,796,245,704,032,344,839,
752,413,193,217,617,884,431,231,876,411,946,795,639,167,492,017,773,751,044,
561,095,756,596,502,490,648,884,501,098,283,406,022,895,288,700,100,164,170,
029,163,353,174,471,131,047,058,388,197,454,003,118,064,717,639,406,219,164,
815,825,313,687,093,678,943,733,813,317,066,906,763,402,261,887,809,462,905,
733,053,886,728,523,948,660,216,616,247,387,734,994,659,863,947,919,149,021,
017,958,115,506,108,190,026,050,478,558,320,022,671,909,925,406,641,716,796,
358,837,729,632,151,201,450,909,636,491,603,013,400,371,584,095,789,522,397,
352,976,367,975,333,329,358,873,453,120,660,244,830,142,989,793,187,993,311,
140,212,470,290,086,938,194,412,264,686,109,413,549,682,706,279,327,125,092,
296,305,913,166,507,032,800,383,992,190,446,421,633,891,637,491,715,447,995,
374,968,319,978,752,487,791,828,933,874,512,609,147,464,447,518,410,753,648,
924,819,364,624,637,993,166,098,744,656,986,780,718,900,890,860,244,532,280,
568,019,716,213,945,225,929,882,901,258,479,296,117,354,759,887,016,572,957,
079,639,412,390,673,636,166,699,378,256,097,739,510,211,248,332,440,512,715,
376,272,816,731,908,048,001,531,783,720,006,401,444,826,752,857,683,700,809,
548,361,111,059,767,755,964,206,634,756,553,169,505,625,029,434,624,854,233,
772,695,445,075,308,079,016,726,938,055,835,925,140,679,704,680,936,451,087,
015,154,897,258,144,699,259,977,489,766,150,045,741,618,120,440,711,706,719,
468,209,447,161,606,640,873,159,255,044,961,333,944,769,754,344,836,245,653,
717,328,532,734,263,077,728,034,017,855,527,823,863,485,897,522,614,033,162,
617,064,665,774,795,222,292,949,432,299,123,663,617,604,613,133,522,884,036,
552,144,595,383,960,037,161,935,033,490,700,871,791,843,599,656,077,073,648,
793,720,375,691,576,400,784,934,834,799,318,752,269,572,282,776,649,445,641,
798,694,621,982,198,723,784,978,595,618,816,475,645,234,173,772,106,718,199,
153,365,034,237,600,422,011,675,140,530,955,923,169,872,048,915,202,608,146,
303,450,713,614,255,254,112,326,947,688,075,767,353,340,127,218,046,943,153,
033,839,682,495,895,448,252,957,378,912,329,605,623,845,681,104,280,064,051,
177,307,383,181,049,887,438,923,885,566,173,737,459,426,970,060,866,053,019,
591,470,124,724,911,624,178,177,783,434,119,971,910,036,675,144,626,995,129,
941,518,317,411,034,281,566,047,409,180,085,071,878,388,541,969,012,093,510,
775,789,975,407,926,031,204,015,745,744,765,688,663,803,328,433,793,850,179,
140,467,123,828,859,545,797,590,092,642,427,567,124,512,153,181,819,895,509,
380,972,976,481,956,903,727,127,061,975,551,379,646,510,884,415,833,497,427,
508,954,358,927,933,188,290,616,295,478,162,431,899,373,876,772,228,926,539,
644,652,512,440,232,046,725,217,094,736,485,014,632,729,217,055,777,820,011,
410,881,854,068,193,591,112,713,669,435,626,749,132,084,175,488,812,991,358,
234,916,947,422,136,524,612,921,102,496,103,344,564,416,409,454,242,380,450,
199,587,299,559,317,167,295,676,461,203,404,568,408,759,168,151,498,835,438,
300,341,295,648,061,533,673,936,482,227,321,097,143,420,039,845,753,738,316,
583,095,912,574,390,474,051,239,045,785,431,227,638,330,456,629,263,595,310,
919,114,909,522,589,561,758,221,624,988,024,771,619,501,916,817,434,641,969,
765,338,042,439,681,683,666,756,566,295,087,932,648,112,712,500,265,953,955,
961,805,907,769,584,309,965,108,570,987,686,689,413,981,643,096,209,643,692,
914,779,466,088,633,339,867,902,414,622,597,340,398,953,098,915,141,530,618,
858,753,326,589,243,521,147,252,544,403,676,147,736,871,706,771,771,918,719,
430,902,355,923,503,487,558,017,677,267,759,104,659,743,836,057,405,142,599,
591,449,106,414,371,047,915,885,981,125,078,114,604,095,415,367,884,250,766,
071,940,778,560,230,533,971,864,459,317,698,022,899,319,267,916,820,743,637,
256,052,196,113,160,902,188,303,371,613,248,794,609,652,701,669,637,388,974,
462,975,303,464,669,879,996,072,258,834,457,838,927,848,746,413,036,898,466,
867,066,919,621,009,183,827,675,138,010,781,375,139,846,176,028,712,089,080,
236,919,372,166,207,133,983,550,160,806,543,780,103,012,865,790,429,045,492,
220,750,927,783,157,165,311,973,575,202,197,880,163,322,178,016,902,778,821,
707,213,285,863,943,353,986,577,882,456,267,727,553,501,225,504,554,365,187,
381,416,716,104,085,971,638,495,673,398,005,934,091,848,042,633,675,221,531,
824,454,066,805,743,939,691,402,463,424,609,437,853,780,244,240,160,492,297,
965,802,836,302,403,619,724,727,356,098,327,606,737,787,942,874,445,610,401,
686,217,221,561,088,705,088,536,186,708,295,970,262,991,498,120,940,995,227,
094,037,363,466,346,008,312,906,991,854,689,645,435,643,304,947,249,129,479,
007,883,044,276,516,732,068,644,075,898,725,691,975,213,943,936,937,886,754,
256,234,505,105,062,400,604,261,073,077,367,936,967,448,351,739,142,391,602,
926,153,432,744,483,707,305,560,534,519,645,726,633,560,955,755,924,849,148,
582,509,633,698,907,481,997,698,777,569,569,970,616,445,226,337,142,791,849,
183,603,416,976,427,982,704,409,706,102,536,696,036,876,863,442,116,627,491,
362,962,962,469,542,093,410,484,901,658,707,725,801,889,705,210,172,861,639,
249,449,477,541,121,784,131,863,553,617,939,862,263,660,137,965,000,974,654,
105,392,544,438,032,921,300,180,276,882,148,517,445,292,476,578,901,583,052,
954,115,093,335,276,382,245,177,937,645,760,681,003,014,974,844,490,615,809,
237,802,549,410,054,540,016,590,305,080,446,873,519,334,448,268,570,237,905,
357,811,433,843,216,257,678,092,169,109,517,025,164,404,797,959,394,600,231,
781,823,256,833,156,341,468,792,578,518,513,852,363,417,977,682,880,467,010,
226,491,821,812,358,089,409,869,827,909,917,505,074,277,113,302,387,775,631,
260,641,808,641,418,399,115,766,413,339,160,613,931,827,149,207,896,572,719,
758,373,931,877,464,197,557,037,289,978,120,759,957,240,875,843,403,218,127,
277,136,791,606,150,856,479,272,904,423,858,627,882,821,407,490,114,347,625,
629,024,072,243,272,415,586,197,882,139,105,011,612,598,332,586,727,365,916,
062,417,433,508,918,303,219,809,909,972,474,222,457,765,085,849,155,825,188,
799,739,709,330,629,608,291,578,681,317,353,075,525,498,190,440,480,898,520,
129,384,698,779,627,233,441,777,733,832,412,657,312,693,306,147,360,175,160,
636,964,182,331,654,159,250,207,900,686,736,061,751,080,674,926,045,712,245,
156,871,201,124,630,901,300,646,299,492,514,338,257,647,895,241,411,711,814,
221,230,570,458,861,984,142,479,282,662,138,065,603,862,394,494,788,238,236,
795,486,955,280,247,336,317,176,080,557,113,070,826,269,180,222,970,988,331,
987,739,377,550,214,491,705,737,592,602,807,059,789,924,469,605,885,052,558,
821,298,995,075,635,785,763,255,384,428,817,383,358,207,603,002,999,653,672,
772,306,898,252,766,251,978,540,522,606,447,402,452,607,447,442,686,761,715,
492,286,373,840,301,539,138,486,429,146,446,618,553,904,867,612,206,776,643,
676,736,038,962,622,410,519,302,524,072,779,850,064,767,843,874,441,645,724,
079,793,694,712,580,870,655,410,674,373,429,485,390,491,735,382,451,583,319,
691,685,469,588,189,502,257,970,269,659,320,361,631,785,931,905,601,015,830,
732,729,046,315,133,075,593,656,074,732,388,478,012,776,250,519,871,798,745,
950,556,565,077,913,086,861,380,124,050,089,965,408,496,461,335,831,532,097,
742,390,650,161,519,086,285,334,897,346,901,876,241,967,128,901,948,436,373,
979,706,973,012,131,387,594,313,361,360,103,062,688,726,962,149,805,026,504,
701,724,061,254,986,426,040,419,912,766,914,953,509,232,999,570,903,421,559,
899,466,055,033,535,904,572,847,531,851,658,071,983,274,058,623,926,588,269,
795,019,804,943,408,736,163,714,514,662,122,496,974,612,473,003,887,954,475,
744,005,598,969,722,182,203,706,565,966,341,317,073,701,927,746,119,366,636,
361,760,036,710,774,820,569,740,295,619,018,281,525,637,239,274,781,372,353,
858,096,058,539,547,499,905,034,699,808,579,764,984,150,038,111,955,881,973,
263,602,241,552,876,563,427,008,457,271,405,198,779,242,498,519,328,627,268,
071,422,703,760,165,731,365,903,022,295,536,282,067,212,816,868,434,474,728,
751,943,950,867,256,247,480,911,393,428,874,354,221,842,162,829,418,792,618,
627,516,757,095,403,886,608,679,037,446,505,373,089,209,582,360,178,106,316,
281,993,157,302,598,869,969,157,753,176,286,162,684,564,274,415,699,104,374,
997,804,161,622,622,052,783,163,770,367,113,530,049,558,521,512,231,758,737,
073,624,324,218,901,786,709,633,664,246,123,306,665,960,786,510,971,636,780,
037,052,859,454,233,517,082,674,406,154,002,500,760,024,499,811,719,267,795,
310,165,914,983,248,391,362,373,440,957,090,620,533,162,590,239,932,933,770,
128,768,733,123,506,655,054,731,964,957,646,945,694,241,807,482,813,415,241,
274,460,115,374,058,537,176,810,304,952,096,809,537,377,481,626,444,579,278,
302,864,211,012,584,774,804,334,399,552,319,307,114,788,782,327,420,191,586,
095,864,850,540,104,673,137,286,528,469,681,801,597,700,839,664,891,725,139,
459,367,957,445,458,118,017,289,449,466,674,137,233,721,612,264,750,076,143,
391,569,592,491,720,338,721,260,345,132,179,363,577,447,895,911,533,650,133,
035,578,956,466,003,317,355,106,598,953,887,391,957,087,927,013,631,173,595,
800,805,913,290,612,983,192,211,074,792,828,713,725,697,608,588,472,648,623,
216,389,485,088,820,851,197,072,591,648,532,602,845,188,599,194,832,717,203,
907,343,462,987,569,495,690,907,283,014,094,676,510,540,661,023,328,856,434,
705,209,415,259,844,072,121,666,485,968,669,118,728,699,505,480,574,853,486,
285,844,086,550,266,466,493,174,974,647,149,666,782,703,170,193,353,652,504,
447,482,169,293,308,088,481,985,751,491,017,949,905,178,513,614,386,896,990,
797,652,388,495,004,781,932,794,137,492,377,477,199,568,771,845,772,357,474,
906,313,775,947,534,886,195,758,502,257,547,457,852,591,676,880,815,031,591,
879,152,835,723,014,440,912,234,077,564,432,539,444,733,558,551,972,039,999,
846,190,987,786,094,724,157,792,220,426,492,061,568,500,334,802,171,538,963,
229,667,369,889,809,356,868,690,908,037,802,423,177,985,971,019,693,591,661,
365,149,668,594,783,127,558,994,582,932,929,308,734,387,099,968,421,029,027,
722,672,414,319,379,859,568,114,327,843,063,520,325,985,585,857,117,393,321,
701,886,545,189,353,433,894,131,335,711,894,151,434,446,399,104,534,898,661,
322,465,796,173,134,108,079,796,274,182,653,648,636,283,936,068,748,274,643,
926,167,890,068,181,696,434,101,070,254,804,333,980,100,014,140,510,628,115,
255,001,545,115,127,611,901,796,798,368,076,186,109,346,378,682,744,675,131,
212,692,286,162,283,449,227,342,015,777,007,790,607,627,860,927,321,661,770,
334,089,244,237,346,519,066,550,479,348,260,218,739,385,433,845,627,225,878,
431,335,999,830,718,780,394,642,583,853,028,954,457,230,733,066,696,038,357,
252,742,520,708,043,716,224,033,183,628,140,891,290,140,486,477,390,758,341,
913,640,284,830,179,941,035,627,118,921,167,322,443,734,630,430,642,557,467,
876,639,668,625,802,990,452,249,131,100,381,928,750,036,696,838,104,412,734,
458,625,130,154,246,279,955,742,487,255,988,575,972,528,535,695,853,991,702,
910,076,996,408,694,897,513,221,802,465,959,002,160,413,458,253,242,437,666,
131,923,175,461,969,362,044,552,245,495,492,712,623,912,384,597,005,462,214,
932,995,014,160,991,092,133,718,099,130,043,550,681,695,050,442,295,451,561,
164,454,720,018,691,515,326,546,531,481,841,333,326,854,447,437,880,111,225,
349,802,105,065,632,104,706,871,757,544,209,565,785,526,677,567,368,703,552,
394,907,704,231,403,315,458,272,867,496,065,377,597,068,170,077,263,733,334,
228,492,596,505,671,691,206,629,830,542,171,966,557,348,613,707,667,189,457,
772,533,778,645,085,567,881,248,415,699,029,650,898,243,176,852,808,528,069,
779,635,504,401,219,015,770,785,479,667,704,902,946,990,584,378,754,405,480,
407,043,822,257,442,415,152,734,448,834,521,164,190,742,366,911,495,556,956,
877,789,193,117,175,901,444,481,191,514,368,789,279,857,913,465,609,772,081,
953,918,344,250,533,050,506,245,044,717,887,488,652,463,838,838,204,619,938,
318,186,542,299,601,782,114,309,217,508,597,535,546,006,722,686,930,841,152,
025,510,913,079,477,682,507,115,675,471,348,693,742,224,410,215,892,930,831,
631,037,946,378,838,718,442,221,585,864,412,420,275,066,534,459,604,960,777,
573,375,897,224,061,158,693,698,121,274,950,970,697,622,300,774,419,106,636,
901,531,137,942,649,896,102,589,009,913,610,303,251,066,527,200,668,740,807,
407,721,479,142,928,445,128,346,896,099,005,529,277,125,507,248,578,600,771,
923,919,034,998,733,641,720,932,594,517,138,660,694,508,479,884,584,194,624,
838,710,196,775,960,046,984,353,962,832,835,923,514,719,782,708,357,175,338,
875,886,638,877,945,213,714,700,571,966,016,926,694,208,048,288,232,794,357,
803,877,293,985,287,429,892,518,127,156,253,563,405,974,948,238,868,812,485,
517,544,987,174,900,664,273,450,165,927,143,428,796,037,375,705,501,590,961,
483,705,158,377,158,074,423,547,875,013,439,958,217,665,721,018,253,465,292,
463,189,246,321,347,980,874,653,716,255,284,551,177,160,398,592,046,977,117,
093,819,332,226,634,831,926,547,075,605,877,114,980,728,487,588,555,910,691,
282,325,396,866,924,721,510,103,742,996,705,648,177,012,305,229,544,649,716,
595,158,678,458,082,517,774,883,208,094,771,685,388,768,708,159,125,465,905,
692,573,299,954,067,084,344,350,321,440,248,371,115,025,920,869,529,855,685,
285,993,011,539,927,324,946,951,761,568,700,124,347,076,593,503,810,213,764,
265,703,746,768,552,716,952,377,117,076,259,140,390,400,931,652,858,799,262,
239,852,938,597,926,116,935,018,096,603,282,620,305,734,731,983,701,254,210,
439,276,658,475,467,488,407,169,967,507,080,306,775,432,558,395,888,364,755,
975,435,853,000,470,646,050,234,715,663,807,492,648,112,405,819,955,373,029,
204,699,712,606,555,810,178,368,090,949,949,604,303,428,604,532,310,258,542,
788,887,158,416,070,311,238,748,379,847,198,159,935,985,012,141,479,535,901,
438,137,700,777,803,779,214,663,290,529,660,968,474,654,694,013,831,062,492,
006,321,682,529,590,064,919,404,143,637,893,118,999,569,591,559,053,901,924,
837,715,594,280,608,319,544,824,740,060,912,018,475,930,762,271,211,030,016,
369,247,309,445,855,027,254,223,270,015,262,772,722,319,458,886,288,846,295,
462,880,219,191,277,524,346,640,625,272,582,583,417,325,375,253,889,290,213,
721,005,856,897,962,584,997,212,476,244,895,289,504,014,127,398,849,279,817,
171,897,982,497,474,974,300,506,508,591,675,601,370,331,244,636,589,137,355,
988,235,567,514,343,143,775,044,404,872,594,034,426,093,655,516,214,130,895,
784,469,975,047,054,034,645,929,558,488,239,887,128,451,207,361,950,982,712,
081,936,642,941,456,893,529,993,738,434,186,801,348,721,978,685,134,056,084,
209,835,875,712,157,248,543,897,210,089,899,372,018,408,436,115,507,709,572,
901,403,633,632,374,552,808,531,207,194,606,765,619,778,399,218,261,395,956,
299,413,652,026,869,805,833,113,077,993,684,371,776,154,458,818,068,171,597,
484,378,539,153,549,242,096,278,810,364,146,963,017,551,155,737,863,839,981,
677,955,562,348,705,821,589,968,600,825,213,995,505,110,890,902,208,209,690,
531,460,477,962,111,819,972,323,939,625,834,223,313,703,938,593,116,292,503,
761,190,200,288,297,934,830,519,699,587,602,101,213,841,581,032,646,512,665,
531,055,017,612,927,650,053,923,311,159,959,211,079,919,667,689,989,217,262,
457,582,579,807,667,612,357,661,915,238,749,437,411,444,311,307,217,500,832,
303,346,277,633,855,217,713,241,842,392,689,204,434,082,316,275,667,269,713,
897,835,104,245,413,032,576,635,640,420,068,897,354,233,304,970,967,189,611,
194,977,222,229,922,220,294,875,648,173,944,764,016,410,399,443,177,540,602,
175,986,019,615,914,729,563,014,813,293,172,996,098,479,921,334,006,313,802,
129,752,718,340,637,060,538,638,013,821,856,755,302,734,648,791,549,093,456,
472,862,764,616,009,668,721,078,117,400,715,582,916,255,160,207,242,957,838,
433,250,629,730,637,365,538,639,569,060,731,681,940,546,468,862,939,356,656,
479,426,097,016,553,677,898,821,906,752,691,506,189,748,927,395,957,123,116,
442,568,749,531,974,921,190,956,462,733,415,643,140,833,342,126,072,526,731,
274,965,467,361,833,901,447,067,083,056,473,425,833,106,930,309,234,508,191,
901,751,261,954,113,955,747,988,639,955,959,410,839,169,037,053,166,386,216,
391,174,889,094,944,666,415,013,939,149,702,138,684,331,190,994,094,780,094,
219,069,442,386,908,822,782,564,791,132,125,770,841,004,771,805,533,942,923,
750,028,150,288,698,366,395,086,007,550,670,116,585,682,058,965,256,204,192,
695,480,489,273,750,630,061,260,486,709,454,167,330,682,555,076,276,758,789,
946,459,335,667,010,447,006,730,008,028,414,063,023,113,875,592,632,376,106,
632,281,923,320,814,902,107,331,400,112,496,171,457,621,783,754,774,982,268,
612,249,024,512,544,254,765,925,442,775,486,843,720,882,503,302,319,464,730,
320,417,536,945,229,505,119,634,456,475,161,858,382,719,493,660,132,719,051,
755,586,757,413,202,274,074,740,994,722,188,145,686,080,733,387,111,957,531,
680,663,670,226,342,012,925,221,799,947,285,080,862,310,987,584,730,347,414,
576,801,229,751,809,502,846,752,654,885,074,272,902,373,408,196,780,768,796,
269,197,432,094,786,795,797,083,353,504,256,882,046,801,613,808,730,727,270,
632,117,772,289,023,878,289,512,925,556,958,567,107,201,634,307,914,681,866,
116,933,472,788,812,554,083,788,249,266,422,109,729,421,028,149,481,058,380,
293,803,001,650,285,583,773,189,160,084,416,595,140,022,704,198,566,061,617,
805,088,636,650,774,903,371,363,547,742,344,270,838,908,670,392,887,238,455,
714,234,278,141,283,936,631,312,310,148,342,190,238,818,019,456,839,110,073,
176,777,310,684,552,325,072,911,674,651,618,427,443,309,293,190,720,856,259,
639,522,755,771,504,439,623,058,921,192,654,442,646,698,474,281,385,597,337,
170,200,149,980,345,315,647,378,710,450,136,683,635,036,590,992,677,719,554,
594,663,563,085,666,320,330,567,018,482,722,461,539,373,942,602,308,927,106,
657,430,897,968,602,486,209,724,898,548,812,008,841,652,488,249,078,608,426,
087,604,814,188,873,727,033,120,626,635,446,137,752,565,260,985,029,907,235,
818,911,914,282,982,234,045,341,307,323,871,451,276,831,977,131,973,019,422,
345,364,097,475,443,802,922,407,218,972,266,200,906,303,613,522,370,183,372,
813,678,774,745,797,966,507,523,257,657,333,856,969,248,449,701,124,754,851,
356,027,901,637,486,937,852,953,959,705,858,494,918,327,006,370,873,982,737,
853,520,306,149,624,379,926,644,471,551,171,275,054,819,192,369,916,005,699,
273,629,356,125,241,119,343,119,252,067,892,322,727,359,954,869,271,664,651,
013,398,804,023,279,215,888,966,745,347,366,137,316,789,661,036,020,465,648,
712,913,944,634,567,377,691,876,173,385,496,260,947,987,340,527,193,765,192,
050,852,775,161,037,946,254,197,247,172,955,413,048,866,178,345,037,090,398,
347,144,633,203,624,885,801,014,833,343,554,157,834,727,666,695,221,323,954,
201,833,158,371,045,794,783,226,234,502,911,801,854,523,337,852,854,803,641,
030,115,620,084,862,637,556,069,418,871,396,083,719,642,187,756,175,681,436,
397,466,271,064,155,979,644,821,565,236,560,976,920,354,749,061,811,683,515,
280,557,137,149,919,622,403,454,303,504,992,372,729,394,390,184,849,592,108,
899,691,905,596,439,318,330,926,187,082,568,337,615,728,778,982,467,062,962,
531,176,712,407,702,351,259,317,515,280,966,424,121,376,817,947,901,146,304,
283,873,615,301,311,045,302,912,107,657,509,122,715,775,775,181,098,275,546,
001,967,802,619,954,448,871,243,921,279,273,631,726,973,532,925,496,164,061,
147,442,427,934,781,725,660,151,938,406,051,771,524,658,243,134,556,801,601,
330,755,759,068,497,629,543,298,558,595,331,013,393,645,354,435,743,950,899,
213,938,018,371,644,385,686,000,728,787,453,764,970,688,531,469,115,629,258,
164,840,211,783,201,509,754,069,753,691,896,070,208,505,218,262,128,217,646,
623,928,839,872,181,524,617,150,842,059,668,638,246,117,828,303,828,189,287,
993,758,196,901,140,343,694,616,737,281,586,968,979,808,508,941,781,075,503,
427,384,092,136,754,407,949,137,780,291,146,956,096,133,836,241,405,881,060,
272,047,184,778,732,830,628,816,012,443,844,534,697,673,182,613,143,334,543,
701,342,098,033,501,062,107,863,369,925,524,289,925,754,325,193,184,821,345,
836,012,691,836,826,610,797,588,687,640,960,902,446,937,168,608,322,209,503,
014,827,990,322,119,350,459,675,304,328,422,314,932,560,829,134,787,137,634,
393,820,609,496,461,279,080,575,058,927,298,225,023,701,921,044,210,422,280,
806,840,526,350,136,664,309,743,834,666,132,886,252,171,363,648,113,415,835,
719,867,925,918,728,925,494,832,472,944,395,861,128,883,124,444,508,814,968,
002,360,095,800,670,675,340,211,083,605,231,137,639,299,265,308,499,232,234,
471,082,463,544,017,145,875,697,305,131,380,747,396,286,393,656,896,097,447,
082,515,544,593,161,267,548,868,301,649,959,301,504,379,122,500,251,021,550,
685,222,350,061,205,671,282,116,355,392,707,141,093,993,580,365,371,083,115,
523,223,134,262,760,615,250,097,343,231,971,277,901,423,292,744,898,065,667,
038,635,371,842,206,766,978,267,897,141,984,306,028,111,239,232,143,747,634,
441,560,231,304,633,023,710,693,179,693,214,040,769,665,833,647,403,696,779,
539,632,109,104,885,882,516,658,408,976,773,231,637,636,382,471,075,235,062,
639,125,231,250,486,642,575,676,360,615,091,847,652,543,616,403,481,397,746,
202,419,629,327,266,556,410,076,668,483,922,073,520,931,079,626,034,360,669,
526,408,654,119,743,071,362,541,685,780,794,709,842,801,188,340,234,213,878,
094,749,911,771,633,250,929,371,697,086,265,166,506,400,479,191,851,040,530,
179,112,791,953,934,553,194,152,805,724,264,987,234,653,575,238,524,562,376,
523,608,801,120,381,962,860,212,093,424,445,118,160,710,089,540,183,477,153,
552,229,863,103,489,689,693,047,381,316,177,308,634,283,265,462,590,068,507,
794,767,092,439,734,102,699,326,086,082,028,391,455,574,206,498,350,597,575,
661,779,842,690,282,663,072,330,926,227,177,692,470,216,947,529,273,175,188,
195,290,141,411,421,929,915,131,139,788,972,152,945,928,988,559,677,891,692,
216,688,412,142,648,937,560,416,871,892,095,423,589,541,130,649,829,304,158,
160,078,470,216,435,996,537,702,735,502,293,611,104,731,652,972,638,395,274,
433,583,447,367,686,911,738,253,861,263,232,771,763,170,008,927,374,989,265,
736,001,371,348,966,811,729,840,906,215,108,712,346,007,267,891,999,163,427,
144,435,595,172,145,798,229,949,512,825,482,261,634,494,864,194,750,720,871,
009,504,974,848,334,783,974,049,887,059,371,862,082,529,330,181,144,475,737,
151,874,319,246,736,127,252,444,844,977,243,180,876,989,249,040,510,145,607,
263,208,835,867,797,183,041,483,057,647,519,173,308,140,140,270,299,973,816,
410,628,166,329,907,464,104,094,892,803,951,541,823,843,117,926,165,995,979,
545,328,090,302,290,823,507,332,724,119,246,902,320,558,354,362,294,110,342,
741,965,183,132,244,670,983,665,687,736,914,884,765,331,529,050,739,984,188,
730,847,929,204,756,740,891,784,730,201,409,802,244,933,626,546,889,518,399,
317,427,593,523,675,631,922,033,471,229,324,225,114,437,006,297,223,425,625,
959,119,355,925,601,946,041,163,950,650,400,833,049,053,375,759,311,295,368,
411,378,443,392,804,187,045,491,503,205,588,324,809,989,058,903,100,310,742,
710,361,460,125,515,674,066,665,045,701,778,091,182,736,573,783,276,323,258,
115,139,645,237,571,160,061,416,524,282,955,580,758,111,354,587,418,191,542,
328,396,264,202,036,880,184,341,578,075,406,249,395,932,548,586,123,115,059,
950,972,118,923,308,835,367,493,685,007,096,379,836,908,939,560,302,463,063,
063,366,847,708,327,695,424,376,607,240,857,232,503,055,299,056,632,675,980,
804,853,253,937,051,651,794,614,037,442,663,693,270,741,905,359,373,882,538,
152,453,875,058,648,880,722,899,582,007,272,835,051,649,242,763,499,779,403,
767,025,896,885,285,041,040,202,926,419,483,790,240,713,207,035,174,792,366,
697,444,055,885,416,179,240,325,570,322,210,582,914,527,238,905,602,595,023,
153,022,683,592,406,032,346,177,580,658,045,005,543,774,126,027,549,802,573,
841,332,583,425,967,968,559,197,630,704,697,681,265,265,436,826,628,499,349,
985,618,126,865,997,277,746,935,474,020,756,557,343,150,767,975,967,876,315,
188,359,238,311,848,624,965,168,785,199,594,401,238,416,509,398,632,455,396,
305,322,837,895,951,093,077,597,662,066,250,961,561,641,906,623,418,426,811,
934,503,332,219,683,849,960,128,973,862,271,611,532,698,264,268,713,894,472,
121,896,103,513,797,494,947,655,651,685,758,538,844,323,176,856,099,579,155,
313,001,686,089,050,034,599,372,257,486,117,630,519,924,619,394,012,343,830,
972,801,075,250,412,153,915,999,452,889,449,085,932,731,777,706,468,170,291,
090,431,509,438,334,418,940,305,651,996,614,860,711,854,381,001,537,834,158,
215,363,972,030,637,701,567,894,131,705,794,929,912,927,813,559,326,994,896,
330,914,082,793,752,034,948,782,768,947,196,971,723,759,179,238,254,900,381,
235,476,446,573,529,512,717,304,045,813,792,083,105,503,014,475,710,715,593,
398,366,333,078,061,887,821,103,988,077,041,369,312,580,443,492,045,757,517,
973,045,181,666,392,068,578,054,249,073,526,084,508,684,155,202,760,458,840,
421,327,059,512,567,749,787,377,366,449,899,778,061,788,143,806,463,341,642,
616,729,396,656,089,279,930,948,297,019,016,611,485,751,353,139,046,893,776,
071,631,964,522,398,452,395,953,326,715,615,407,940,712,862,184,360,900,721,
615,992,863,479,239,485,289,111,358,890,979,500,859,128,562,196,335,124,881,
401,163,381,133,142,272,984,344,149,117,511,380,901,001,823,095,451,755,286,
076,430,508,701,309,088,198,754,106,262,241,199,274,324,422,759,057,984,021,
466,180,127,310,453,585,416,295,789,248,251,633,752,956,149,050,086,966,215,
504,958,593,218,830,701,350,689,003,167,871,779,074,745,397,044,380,628,984,
026,450,594,025,166,179,438,784,289,127,173,724,767,807,819,355,010,388,272,
621,031,162,195,628,213,583,736,939,605,303,754,673,874,572,274,707,165,709,
315,529,202,506,909,891,155,938,903,878,161,995,231,943,443,499,020,106,868,
432,686,152,735,926,186,144,791,251,420,776,441,506,534,035,642,696,993,971,
430,419,569,703,621,623,775,531,736,589,510,707,466,910,854,672,272,413,663,
777,862,830,492,645,925,722,383,961,859,037,799,074,904,716,422,536,430,597,
192,718,871,878,300,760,972,658,720,493,316,004,587,642,260,924,142,774,071,
067,024,175,584,702,215,768,589,940,331,343,607,240,423,122,867,647,206,850,
684,038,874,913,955,423,002,395,619,384,001,536,086,788,995,489,698,253,494,
238,340,460,638,239,691,203,007,721,595,284,022,929,986,078,747,989,436,597,
733,013,746,426,735,897,441,601,845,155,208,242,698,150,673,844,233,235,108,
932,496,387,202,234,165,662,068,664,750,763,496,170,200,797,105,156,358,599,
870,440,330,274,096,264,439,431,747,309,017,894,383,870,464,092,440,933,583,
096,337,927,475,214,026,487,051,399,852,422,532,358,068,379,373,386,473,851,
318,234,690,367,014,770,611,921,357,023,169,813,483,195,802,829,570,666,294,
751,197,774,941,131,583,170,187,823,376,951,753,551,698,398,771,610,001,026,
664,207,436,915,923,744,309,334,233,826,611,419,108,377,098,806,920,691,296,
837,350,498,861,650,921,286,400,456,480,485,037,202,772,401,877,016,934,935,
243,236,410,812,476,572,765,455,219,926,518,428,883,574,923,348,445,171,197,
332,206,265,614,932,072,793,352,037,525,359,838,832,769,836,118,545,347,166,
595,167,377,666,675,811,228,928,026,343,301,265,057,715,583,453,987,646,792,
287,052,939,886,785,468,855,021,726,128,247,684,867,671,598,625,257,122,607,
895,625,536,888,445,753,696,194,384,993,749,343,433,569,542,609,509,141,513,
728,828,947,928,550,660,335,605,582,686,896,801,413,714,217,621,257,366,872,
296,498,439,773,264,808,142,519,762,881,789,393,470,420,014,455,310,432,207,
416,381,562,905,983,838,768,795,533,791,161,100,491,087,380,962,482,252,347,
602,401,210,686,503,993,969,017,247,883,661,784,334,573,719,109,355,125,161,
661,100,604,589,626,766,554,951,979,223,247,561,303,826,544,965,207,607,999,
586,862,509,417,458,416,398,944,967,695,149,970,765,205,928,131,535,078,223,
599,570,333,640,119,420,955,149,548,263,676,588,570,322,461,775,264,191,391,
331,727,928,484,697,079,120,466,909,585,124,982,882,007,353,735,990,900,254,
531,159,575,739,045,787,715,087,023,310,445,308,026,730,939,233,526,834,420,
914,530,181,605,151,381,609,348,120,557,525,851,533,953,739,643,185,009,930,
130,977,818,033,007,863,145,364,285,618,358,857,677,956,242,097,380,466,838,
257,676,932,346,476,801,639,606,673,240,269,359,593,960,221,677,747,102,245,
583,394,658,821,426,760,689,733,183,322,455,508,012,094,143,631,777,980,345,
482,097,805,715,177,388,616,031,407,263,493,469,908,555,236,067,307,864,098,
954,936,977,116,292,080,243,611,440,059,020,537,404,206,814,121,043,208,082,
372,285,543,424,849,071,806,067,226,349,293,602,437,757,585,484,544,406,854,
353,704,173,135,360,195,543,593,896,141,887,292,191,341,687,112,484,378,961,
077,987,742,961,663,210,988,711,883,290,028,543,403,397,468,660,573,674,042,
950,503,517,058,971,576,471,626,913,168,547,285,113,200,705,890,816,399,956,
498,635,752,712,261,631,456,536,166,541,106,104,017,115,408,108,739,069,598,
517,014,803,971,401,182,152,604,636,837,630,273,534,036,353,132,375,307,447,
417,817,814,919,552,147,262,777,096,898,514,280,040,454,503,600,277,223,072,
096,755,812,348,754,882,138,575,255,965,542,829,579,150,208,887,235,034,740,
044,831,287,084,285,494,299,988,320,905,977,622,973,375,042,186,616,462,791,
997,511,547,920,145,335,378,508,121,125,314,447,609,227,182,713,172,023,924,
029,525,355,089,687,660,925,737,430,583,341,972,924,645,046,798,144,941,624,
269,820,287,789,171,429,044,322,311,692,540,326,272,893,090,058,544,572,628,
354,454,551,362,495,340,556,676,950,814,064,264,934,557,346,264,846,364,378,
518,505,410,182,376,190,318,583,247,738,672,444,624,699,992,046,904,421,313,
171,081,173,701,985,415,997,198,675,692,402,513,464,747,169,413,428,256,071,
830,638,032,373,462,837,366,622,151,926,514,467,818,373,536,201,209,707,402,
637,739,820,629,853,161,763,654,778,399,126,624,938,265,568,680,719,521,153,
721,908,858,108,840,962,598,472,534,762,445,261,053,785,623,316,398,853,848,
549,022,538,461,215,060,515,345,015,028,681,890,761,178,764,660,327,391,719,
425,131,604,769,032,099,787,820,058,940,411,024,597,679,000,972,202,026,380,
710,649,047,464,845,672,477,872,418,023,814,766,231,510,912,519,334,807,371,
974,142,720,812,408,177,849,040,697,978,046,853,778,278,105,169,846,515,239,
954,420,194,256,256,187,471,325,682,155,068,680,626,307,880,300,149,502,084,
514,742,832,167,046,112,918,292,581,324,140,971,076,290,434,898,587,073,199,
301,060,061,994,255,722,137,924,821,523,403,622,983,772,183,427,663,763,322,
508,010,418,059,893,009,755,370,916,927,682,705,896,526,429,454,867,078,852,
717,564,894,002,064,710,288,095,651,534,711,115,358,047,738,410,071,267,144,
761,777,273,389,189,412,553,438,166,326,039,079,144,504,603,521,838,901,213,
691,568,894,479,741,307,561,833,034,160,253,292,311,409,235,997,568,134,109,
181,361,414,836,434,121,675,280,319,462,663,854,581,001,446,336,597,280,807,
206,557,821,097,275,111,402,033,422,168,404,869,353,416,194,930,745,903,074,
118,994,849,848,715,495,324,335,467,402,611,173,443,792,847,489,802,597,303,
466,117,217,536,525,616,840,549,789,534,857,024,699,777,176,061,003,091,124,
859,830,676,736,443,188,868,038,753,204,857,299,794,992,996,374,294,019,439,
024,553,810,324,949,316,235,383,591,389,120,479,311,839,276,710,340,893,933,
577,196,245,460,566,835,914,477,662,318,618,532,906,872,876,052,388,470,904,
965,004,755,342,203,018,704,299,570,138,894,565,500,068,827,160,577,646,274,
303,181,252,020,781,768,690,749,566,141,705,313,235,352,832,593,121,966,738,
370,546,005,964,393,892,189,152,160,936,491,606,758,284,342,599,239,241,792,
460,829,380,768,895,603,632,613,988,022,204,220,919,213,202,394,934,337,360,
580,232,202,655,852,779,007,670,001,549,938,010,709,531,120,564,635,442,554,
397,593,260,729,194,591,435,948,425,323,479,059,276,235,416,015,227,858,634,
479,452,995,726,005,408,599,806,882,274,409,961,655,639,983,854,595,124,929,
218,546,110,478,015,224,694,417,168,036,372,462,431,682,328,942,452,234,185,
477,369,913,384,442,322,370,659,717,626,519,102,746,860,744,131,701,100,135,
893,930,515,458,219,452,000,741,829,342,010,327,294,291,934,224,585,320,684,
556,413,292,495,876,945,423,668,011,807,994,897,108,454,596,504,701,475,809,
532,117,588,777,900,479,559,373,440,703,094,472,509,221,798,570,899,237,866,
289,357,094,336,384,565,985,775,681,632,571,550,903,655,712,683,518,287,286,
084,148,157,928,132,111,342,847,307,237,243,248,155,075,869,446,065,536,797,
444,554,248,015,827,018,929,961,537,655,075,911,468,236,052,418,807,878,320,
340,443,378,358,205,892,906,365,140,590,958,383,754,730,534,917,978,425,752,
247,520,812,466,009,875,806,589,456,859,582,286,462,432,576,739,742,902,706,
933,239,702,410,532,812,765,295,604,004,352,196,003,123,084,915,800,245,105,
607,642,403,415,547,794,541,679,652,875,769,508,147,097,908,363,168,000,949,
128,263,812,753,231,808,944,435,564,584,656,300,235,778,661,656,686,005,002,
498,801,421,858,714,230,570,719,094,101,474,424,376,686,681,765,527,479,232,
852,040,409,218,304,013,160,254,226,929,353,654,976,388,604,269,861,068,733,
757,446,545,292,661,848,008,253,749,871,950,417,631,740,223,034,654,198,529,
535,507,484,587,168,399,875,216,747,065,500,871,593,959,005,359,638,013,127,
238,760,322,761,631,536,672,671,630,100,106,273,644,103,038,790,927,742,715,
181,251,164,026,644,016,974,133,054,430,855,918,171,919,982,206,580,653,073,
117,614,918,777,854,015,603,258,586,951,288,161,131,102,572,951,836,934,898,
049,901,951,180,645,305,106,195,885,685,638,936,047,979,127,792,124,976,541,
200,202,312,648,190,798,808,619,358,225,601,256,296,086,214,009,824,227,578,
711,341,344,651,361,538,054,591,035,301,666,564,135,246,339,848,336,206,913,
108,329,504,282,094,196,030,173,693,170,729,373,145,281,671,763,924,550,444,
062,219,815,385,184,816,734,514,592,734,171,522,458,053,226,028,642,172,945,
493,113,927,734,079,532,703,260,995,649,671,738,549,584,891,749,523,882,201,
964,446,606,865,779,166,539,632,356,480,236,527,162,649,752,395,613,923,982,
383,727,159,122,559,487,182,971,759,870,011,071,910,176,735,394,732,163,748,
582,535,821,902,015,403,833,978,064,635,569,756,690,664,366,174,435,630,977,
529,758,848,735,198,668,239,948,121,458,756,031,224,992,376,545,130,386,171,
779,719,327,659,508,207,309,481,062,214,556,029,118,939,088,089,014,532,385,
556,221,326,097,162,621,718,522,571,205,345,262,517,250,214,176,197,316,880,
346,679,610,677,276,655,094,217,880,310,608,084,913,893,226,593,892,722,410,
476,760,064,096,525,712,239,624,923,291,296,491,927,776,371,377,789,285,485,
498,639,433,178,097,847,079,311,586,254,022,271,878,606,713,070,502,446,191,
700,045,197,947,433,528,983,743,641,976,660,121,613,902,388,793,176,784,874,
213,160,440,198,444,784,203,226,463,650,352,069,677,300,807,465,070,571,359,
308,743,302,784,783,466,428,476,698,043,535,067,022,385,373,740,416,076,601,
468,426,601,357,233,324,816,131,195,318,469,779,063,450,897,300,349,098,751,
043,294,014,072,362,946,803,529,475,131,769,697,562,756,729,041,530,406,950,
643,798,269,358,945,789,694,197,269,259,894,911,515,232,154,092,533,569,623,
579,007,759,059,561,962,725,997,438,629,464,859,683,277,343,014,984,504,781,
543,574,120,479,419,992,511,706,932,394,949,085,762,244,562,925,149,529,265,
517,856,947,699,023,033,886,374,687,820,636,131,966,712,682,565,361,864,933,
766,618,086,568,659,132,080,553,020,801,290,769,309,243,512,647,413,666,240,
434,530,506,063,445,179,066,576,458,571,906,051,240,352,080,517,491,131,079,
979,778,179,019,565,984,341,258,357,238,208,626,412,967,625,445,115,221,560,
070,043,086,551,991,900,219,756,047,125,008,755,351,888,760,216,765,668,711,
284,122,477,931,290,861,579,247,600,010,079,911,476,412,593,851,607,817,037,
046,445,840,843,243,018,749,762,147,036,679,774,139,429,959,350,450,783,549,
132,961,180,740,181,799,433,341,867,737,754,569,759,579,870,104,492,889,374,
498,038,743,566,112,283,423,384,114,873,326,592,266,837,246,128,279,590,227,
618,271,522,544,249,784,793,841,827,817,825,960,501,644,109,496,462,323,813,
260,104,371,101,351,164,423,515,714,547,964,764,698,200,755,963,527,604,831,
113,962,193,821,425,310,285,362,091,218,510,054,040,280,673,569,713,441,752,
805,359,841,730,780,422,057,493,568,458,232,848,810,383,348,032,333,963,951,
495,657,015,482,183,507,544,763,938,296,929,280,746,091,539,380,456,094,838,
258,205,120,298,316,305,106,129,916,452,834,349,096,660,707,518,060,246,670,
453,840,596,505,319,829,710,446,641,620,876,861,055,745,821,968,100,001,877,
815,987,570,635,095,864,611,951,934,730,245,746,111,357,200,735,835,290,125,
002,076,727,972,228,055,999,386,975,837,810,091,389,847,298,705,316,496,081,
736,970,687,218,801,798,205,888,828,538,205,398,130,162,641,546,526,645,928,
140,981,529,414,631,034,503,682,998,790,068,187,341,813,731,017,385,210,644,
157,885,873,468,644,010,912,388,815,463,859,744,270,217,051,242,347,179,536,
159,882,211,731,473,089,700,228,654,486,377,669,141,727,129,832,482,930,162,
585,447,150,655,738,876,883,656,182,037,530,039,654,667,144,790,778,814,071,
381,173,473,568,608,889,347,452,175,664,209,736,948,170,387,825,011,324,216,
006,067,084,292,397,171,215,103,941,481,875,779,001,426,049,415,155,403,420,
854,777,194,654,494,878,663,951,429,350,592,384,647,520,657,632,703,907,374,
250,957,589,720,432,450,215,666,322,636,060,047,695,240,815,425,212,484,777,
564,562,135,804,558,077,258,144,956,854,368,470,436,419,620,583,286,344,544,
885,193,444,199,785,135,702,287,284,171,513,928,828,147,580,441,316,990,833,
021,579,885,967,566,957,147,196,174,023,870,284,096,572,122,856,923,801,393,
757,558,086,843,605,869,073,022,869,772,653,473,398,444,617,308,615,756,347,
938,099,163,054,960,969,982,803,684,473,953,017,535,828,142,111,402,209,386,
836,565,994,096,862,426,387,325,768,589,476,294,130,718,554,643,267,806,025,
181,199,230,894,288,624,868,237,740,586,931,653,794,038,694,683,170,569,557,
610,428,873,817,632,310,989,737,569,809,804,620,169,274,685,874,778,157,593,
615,587,046,926,470,058,156,466,168,443,590,459,140,340,254,256,425,347,989,
829,680,852,552,411,594,099,190,858,484,543,041,350,814,932,235,492,255,820,
681,103,553,342,818,011,586,599,483,867,268,834,130,905,750,600,203,191,932,
123,576,738,422,006,918,249,087,753,752,493,545,167,863,863,593,922,812,148,
810,568,688,381,750,568,898,571,762,348,545,743,584,240,576,319,230,990,680,
208,641,874,630,604,162,204,566,999,935,322,284,160,150,497,229,975,274,154,
925,205,299,640,574,828,115,643,325,353,866,056,054,236,529,724,973,159,774,
448,110,922,415,769,253,601,018,494,796,122,365,473,084,794,769,347,135,154,
749,077,365,768,690,561,682,647,894,938,740,365,048,722,105,439,716,067,378,
880,520,003,409,998,212,671,246,362,822,943,820,333,449,664,032,038,797,384,
868,827,947,684,852,389,450,476,991,135,313,068,071,512,166,622,808,477,079,
424,989,944,352,571,542,613,193,963,714,597,304,534,114,459,267,083,546,627,
022,470,832,957,514,669,679,759,861,969,477,426,877,548,422,603,797,735,314,
308,990,939,755,478,988,184,031,267,646,210,548,152,517,201,405,410,840,299,
586,625,788,783,589,381,514,091,985,302,715,035,815,248,631,008,993,062,563,
135,162,280,389,737,392,907,256,176,270,225,769,345,984,527,716,707,646,903,
366,842,698,065,891,761,282,685,401,456,316,179,348,564,550,656,069,421,482,
754,029,002,159,685,141,819,529,792,899,919,771,688,614,058,294,840,619,977,
879,027,351,043,944,198,370,431,486,246,688,114,255,071,959,394,929,067,410,
712,164,169,920,117,302,827,968,210,010,435,134,735,944,276,417,299,273,621,
736,976,632,921,502,167,682,145,323,111,805,822,992,341,220,444,632,728,253,
756,226,770,530,651,241,042,775,226,280,392,724,118,073,735,957,327,087,578,
131,322,655,788,007,545,977,952,458,730,349,063,116,387,179,834,710,878,016,
976,134,325,411,359,984,690,395,440,802,166,494,277,307,206,622,691,464,982,
503,664,765,306,548,152,525,625,559,046,010,076,005,618,913,348,893,650,642,
441,931,404,922,411,422,768,375,899,257,807,451,238,347,210,010,728,875,096,
434,511,375,910,890,858,682,388,887,774,968,341,555,150,701,343,655,230,771,
391,183,838,686,021,553,118,484,598,056,484,864,769,587,906,539,822,313,981,
226,103,711,067,270,530,653,489,315,283,245,997,549,663,606,707,429,161,553,
660,872,415,040,385,372,354,328,086,640,966,861,574,751,652,709,093,952,610,
692,856,438,642,711,630,406,111,493,745,951,477,930,350,265,018,897,844,335,
808,007,662,839,429,682,800,611,943,190,676,874,224,044,311,249,371,020,466,
978,281,604,612,630,843,834,116,823,103,594,928,490,180,350,739,067,236,986,
724,138,696,624,551,448,171,425,430,697,703,617,192,450,977,859,721,031,033,
456,775,693,672,364,542,857,335,126,663,372,045,803,213,109,059,863,128,250,
396,597,896,585,794,525,414,433,052,205,529,820,841,944,462,174,524,482,715,
549,112,220,197,793,363,005,741,644,072,653,163,012,991,454,645,892,967,194,
330,093,194,632,459,635,783,285,303,745,583,116,748,695,032,306,358,325,281,
404,130,044,048,665,114,598,308,237,014,898,819,616,262,748,822,904,936,771,
548,941,765,368,441,185,305,328,949,526,812,620,086,366,597,767,633,574,268,
966,767,106,490,228,492,884,590,039,805,265,079,826,676,620,522,428,003,070,
829,520,413,233,832,593,753,080,750,535,109,684,459,783,953,858,533,573,720,
180,735,732,203,233,422,104,387,021,301,251,703,833,139,067,010,676,790,184,
435,396,381,019,599,847,784,593,003,664,939,300,740,440,880,341,337,085,193,
576,870,046,851,104,408,842,267,431,718,882,547,822,934,808,342,233,555,914,
922,748,759,451,630,662,004,073,619,919,430,331,757,199,785,890,596,916,563,
225,364,542,114,283,407,384,240,765,450,383,862,581,234,132,553,898,808,295,
333,374,718,548,806,915,948,568,670,752,576,378,502,223,171,893,999,139,758,
611,152,707,743,852,243,885,319,398,724,173,554,494,808,913,479,786,243,758,
457,270,922,197,752,058,158,566,634,063,974,923,491,211,204,356,354,082,431,
871,773,252,288,040,036,969,361,982,156,381,360,166,825,781,825,642,738,289,
766,837,851,677,961,731,361,931,785,779,984,825,488,469,948,706,306,976,049,
220,554,536,048,240,242,848,401,595,610,578,083,707,091,896,784,645,988,115,
923,175,953,073,988,942,978,131,018,901,831,201,478,689,412,783,581,753,747,
998,466,032,946,104,835,120,156,104,895,286,669,079,067,676,196,965,327,087,
979,807,248,123,961,324,030,623,587,084,636,119,420,497,992,673,920,399,569,
405,782,977,541,452,956,767,407,183,807,134,947,915,536,811,289,713,686,377,
935,176,284,587,319,954,254,096,153,124,812,956,603,883,485,786,813,478,790,
601,310,921,074,981,423,651,684,427,021,202,306,189,159,534,729,312,921,366,
520,745,650,913,298,674,168,746,352,948,975,750,456,551,215,478,711,711,969,
395,013,664,191,524,077,847,622,413,400,218,572,716,104,053,811,339,035,193,
970,982,157,515,095,846,485,757,271,943,524,621,061,919,799,336,053,011,688,
135,142,784,866,526,137,207,191,910,535,656,500,407,514,459,265,142,132,827,
043,029,867,308,960,056,866,814,988,267,533,408,173,898,545,730,434,627,912,
837,154,309,103,898,113,547,089,596,751,340,668,687,640,402,312,620,496,605,
501,275,807,365,065,405,943,144,283,413,433,121,845,777,813,037,829,971,225,
369,864,684,940,492,817,282,782,434,363,821,973,225,068,874,162,785,094,960,
332,467,958,239,945,755,875,391,248,555,428,326,636,488,130,517,607,338,712,
638,181,843,925,625,875,049,282,875,371,401,640,022,721,297,231,967,313,730,
889,113,328,331,224,283,876,405,700,323,363,229,411,210,052,357,455,769,147,
487,105,532,144,123,076,271,837,825,348,122,392,149,508,421,431,650,238,330,
146,485,944,115,646,506,580,971,796,551,826,162,828,063,434,970,582,313,756,
951,922,387,400,285,415,245,413,179,540,255,808,011,678,910,283,907,180,944,
055,663,808,258,869,925,066,649,032,874,455,556,073,757,817,275,093,563,909,
686,088,022,780,690,266,992,978,313,172,239,045,326,990,563,973,514,634,773,
892,596,150,775,251,350,084,112,449,685,725,733,647,686,847,929,056,623,000,
251,818,594,692,871,065,084,759,934,292,500,333,589,802,384,439,896,877,756,
970,970,838,211,532,518,777,768,780,192,370,615,050,008,198,674,958,240,863,
870,041,508,063,430,794,542,678,904,266,334,996,698,514,396,314,371,708,484,
951,005,832,215,788,700,354,439,026,900,579,597,515,868,762,235,631,959,624,
026,211,076,173,677,712,133,008,449,387,675,816,091,079,308,679,475,649,658,
548,107,881,894,240,430,008,736,664,326,477,550,534,692,535,560,908,345,344,
852,892,467,905,583,561,835,013,620,167,883,409,201,895,067,939,752,715,810,
819,071,963,909,418,945,441,943,304,170,700,950,634,502,914,889,767,940,146,
842,881,452,750,244,053,403,452,733,567,185,043,470,399,038,245,152,787,210,
423,109,346,435,659,748,431,149,715,427,806,433,298,901,415,282,298,006,921,
618,953,401,067,613,467,278,790,394,331,746,933,960,501,148,353,131,229,028,
986,581,908,860,354,552,175,263,622,660,374,808,869,874,611,252,389,054,497,
243,465,180,700,637,498,261,190,651,119,713,628,935,770,134,303,031,766,270,
072,019,528,177,507,079,754,944,880,310,553,143,801,332,556,173,110,355,882,
704,115,581,758,205,509,985,320,873,483,374,087,939,134,064,644,609,298,194,
908,000,220,983,029,000,500,632,131,614,575,854,152,335,057,334,967,386,709,
699,764,895,871,035,737,457,122,642,115,224,320,458,507,267,109,652,239,016,
356,463,743,189,574,449,739,274,531,990,671,713,100,409,173,382,035,725,922,
532,602,552,089,335,408,887,460,109,430,117,156,038,348,262,841,118,269,275,
424,916,394,515,268,464,418,575,307,723,129,273,610,197,959,881,492,952,461,
690,181,260,410,308,508,449,280,117,652,062,918,811,849,210,787,961,563,270,
670,557,527,130,018,554,660,347,589,557,301,359,826,592,148,585,173,182,493,
554,944,395,606,995,047,995,020,643,956,048,579,280,247,785,585,097,258,739,
557,654,474,440,293,974,080,982,041,450,173,450,858,398,704,164,276,408,647,
380,574,932,851,105,664,362,936,560,618,919,696,145,997,837,944,057,737,505,
164,549,852,167,600,062,288,083,689,193,427,580,823,158,817,442,483,732,700,
933,073,621,236,564,274,498,797,038,153,399,335,956,589,091,012,947,349,813,
248,792,966,154,216,483,447,032,198,582,034,319,222,537,852,964,996,113,172,
759,754,507,421,453,565,769,392,229,143,280,796,429,950,102,901,994,846,358,
071,869,586,222,644,247,841,970,248,255,188,683,428,634,238,372,247,922,443,
118,177,953,873,929,723,973,253,416,343,389,411,211,570,305,602,819,990,762,
679,050,696,320,091,067,263,491,829,734,806,766,736,895,330,289,977,983,703,
184,355,791,339,329,992,424,668,377,150,458,761,532,365,504,779,405,084,347,
088,697,408,248,984,047,686,555,919,595,437,990,002,377,189,442,655,086,134,
176,006,234,212,165,598,813,581,831,804,218,191,085,216,109,112,735,032,007,
489,450,829,582,594,203,100,305,220,211,264,360,575,349,794,548,699,835,352,
468,546,741,936,263,080,961,679,412,435,894,251,824,709,368,072,229,733,243,
531,133,069,864,820,662,416,542,828,966,859,834,445,288,032,733,667,760,258,
617,563,875,486,106,305,552,026,764,365,691,348,326,404,949,206,161,662,125,
638,167,617,377,650,904,273,980,013,118,249,090,746,199,453,728,697,324,372,
752,105,346,800,821,253,924,588,681,216,999,900,119,836,244,223,404,328,120,
299,682,692,392,914,159,493,774,315,473,407,273,521,383,235,864,464,113,423,
499,745,821,750,375,145,589,781,144,093,554,833,096,539,368,173,083,022,408,
528,148,341,346,013,633,634,038,117,463,159,065,859,446,792,915,642,214,119,
703,701,951,935,071,286,308,302,660,653,995,373,852,577,066,905,292,647,150,
405,860,590,329,829,032,243,026,174,120,325,925,360,596,249,015,034,498,139,
672,419,014,648,973,511,506,909,962,130,618,430,700,046,784,497,022,458,423,
412,922,923,772,576,967,621,252,133,123,924,896,554,847,544,546,766,712,165,
234,568,823,784,335,952,838,682,912,613,801,802,740,529,058,455,654,130,896,
602,325,924,983,093,987,158,470,987,254,491,525,823,830,485,656,696,745,629,
431,956,499,048,476,992,470,219,642,433,964,082,898,086,449,592,808,423,803,
905,225,806,415,506,072,866,248,613,859,597,905,029,859,148,056,600,482,911,
534,243,664,714,675,591,985,936,256,765,893,099,934,067,270,627,179,899,479,
629,256,759,555,191,541,512,021,706,413,654,719,917,662,413,444,631,582,232,
930,170,929,255,271,143,332,746,201,889,025,958,571,580,600,741,054,494,468,
244,818,503,076,771,004,339,951,720,773,471,173,033,134,511,951,832,166,474,
673,054,321,313,195,761,339,854,513,410,745,694,823,243,616,869,499,471,656,
006,475,782,776,109,816,519,666,783,843,335,376,188,275,282,666,607,955,834,
620,042,813,502,106,151,601,053,458,916,745,281,393,768,609,342,333,779,964,
308,334,468,206,544,999,839,727,253,218,627,364,901,921,101,869,553,215,193,
164,612,200,754,911,529,143,849,083,053,189,484,992,707,668,373,149,040,505,
231,616,714,173,263,634,787,697,264,576,792,096,237,578,991,366,986,236,193,
360,856,937,365,684,455,504,764,372,413,683,138,192,630,617,023,216,962,736,
263,293,227,936,648,220,371,879,885,382,537,896,393,704,283,429,202,389,975,
142,342,116,960,818,456,019,284,284,355,795,227,101,799,586,551,012,305,366,
172,465,856,334,383,373,880,475,009,419,766,012,301,366,459,168,820,671,395,
358,460,051,362,941,936,457,383,737,383,146,646,697,760,462,147,269,870,023,
085,322,489,267,328,226,888,656,978,055,345,988,915,856,303,377,769,863,493,
603,092,325,686,954,509,881,109,199,088,824,742,891,003,022,356,648,882,512,
737,339,975,345,298,982,707,470,027,817,335,545,038,054,217,071,418,756,230,
087,929,315,365,571,411,473,545,997,432,599,279,631,828,484,053,782,955,311,
178,782,274,295,866,099,364,124,859,406,956,783,400,861,096,170,891,132,355,
992,114,383,439,491,721,760,081,919,737,518,387,288,015,408,677,822,810,192,
457,375,034,175,154,779,661,185,407,624,911,973,055,034,155,299,962,971,719,
070,037,314,207,618,035,824,203,109,956,994,233,945,284,428,041,603,061,259,
305,606,630,555,404,284,303,201,824,321,667,771,963,962,871,221,756,201,444,
790,492,474,106,570,423,910,845,350,900,730,057,307,569,915,639,234,858,643,
689,194,540,674,488,741,198,287,550,762,674,357,025,364,010,607,682,044,358,
744,035,287,720,067,907,143,909,886,960,161,052,149,165,818,801,224,417,999,
981,414,267,481,702,971,501,515,690,038,061,033,562,124,650,816,876,259,164,
320,068,790,904,621,291,917,253,078,785,373,764,756,979,473,679,943,782,119,
060,629,854,339,687,595,538,106,779,120,794,904,934,346,995,440,029,975,107,
652,956,749,882,416,023,960,003,963,761,701,081,862,872,329,537,653,247,182,
243,635,715,402,954,733,920,091,133,586,236,227,629,727,978,895,825,017,615,
325,464,990,194,629,146,557,460,356,902,424,953,188,904,846,076,288,517,900,
196,554,349,746,557,639,487,887,457,324,315,029,600,210,123,543,039,678,941,
038,615,002,694,613,575,272,338,920,378,697,796,892,761,585,467,374,148,815,
062,525,057,878,120,303,604,180,134,492,470,019,784,642,493,904,967,264,252,
280,607,871,106,412,913,452,391,040,662,357,158,354,392,089,170,839,271,675,
566,202,952,960,605,415,557,807,872,323,624,529,222,883,602,187,936,179,910,
349,880,890,384,752,083,699,284,987,972,992,334,712,223,655,381,651,864,723,
575,153,455,279,272,402,860,697,723,951,186,551,041,546,267,132,735,832,688,
661,760,221,118,397,818,311,519,886,167,950,504,230,660,107,027,310,507,104,
816,872,812,333,200,250,246,425,618,339,825,165,962,267,079,252,203,179,537,
361,879,511,594,446,759,345,938,170,745,162,639,666,279,020,901,439,713,363,
615,147,600,428,240,699,323,666,197,475,427,835,634,405,602,739,893,379,199,
458,211,417,070,328,177,902,855,375,650,870,799,829,415,316,999,331,904,048,
572,609,618,321,894,158,754,871,822,083,580,473,094,733,516,283,546,401,790,
856,578,265,683,869,589,164,121,908,150,569,895,646,352,040,781,762,718,208,
605,530,686,208,480,864,634,899,462,296,306,906,589,015,840,154,045,851,351,
844,193,195,696,491,179,333,538,867,312,103,064,808,516,477,036,723,721,980,
150,280,660,088,722,195,331,445,576,054,988,218,583,471,946,465,650,139,497,
992,423,091,407,133,105,000,261,430,578,488,397,854,608,921,433,711,478,805,
993,533,551,034,868,011,872,392,896,493,827,548,448,990,854,435,609,031,311,
397,449,320,246,808,679,783,433,885,767,516,631,174,893,158,640,958,491,204,
681,585,407,863,244,929,071,246,014,893,090,347,332,922,601,646,099,791,350,
851,976,271,209,941,499,658,426,185,217,628,172,968,759,210,112,458,253,685,
062,624,817,159,125,786,876,231,231,176,895,039,253,682,761,625,004,788,656,
864,386,211,397,595,048,199,987,603,683,097,012,193,284,776,327,044,230,680,
169,335,249,153,635,379,479,655,803,697,944,306,761,743,954,966,581,452,154,
955,905,011,291,995,129,532,656,093,666,171,018,190,222,673,645,421,813,212,
083,475,186,733,901,206,150,609,354,071,982,236,598,650,123,310,272,881,086,
093,966,748,804,847,083,991,207,510,308,677,170,940,846,312,921,185,629,753,
746,340,634,161,956,018,131,236,270,778,570,545,776,371,133,786,321,027,613,
608,497,902,526,713,642,739,336,165,117,251,572,432,004,791,405,710,191,310,
882,863,160,837,397,943,220,021,286,746,993,780,274,167,667,222,094,025,705,
883,432,204,304,077,288,520,970,601,921,761,752,075,312,123,646,526,649,139,
503,608,369,355,802,131,427,066,687,678,637,119,683,764,605,493,374,369,345,
653,994,127,894,431,461,012,087,972,329,274,379,679,408,794,185,059,456,688,
370,090,026,403,630,582,089,501,759,717,085,798,627,650,178,481,470,537,283,
708,779,160,753,906,498,952,740,346,952,215,215,316,182,823,990,619,991,023,
149,454,918,656,209,454,652,317,914,648,608,055,795,852,156,819,037,721,946,
777,988,457,049,523,679,709,518,838,748,421,616,871,437,914,519,939,262,718,
089,657,099,021,755,532,887,251,526,601,731,129,053,822,584,274,141,795,416,
593,379,406,151,641,585,827,863,684,676,691,048,056,146,269,799,238,653,936,
987,987,293,056,397,471,836,024,445,352,853,395,780,324,304,548,083,130,674,
692,553,443,911,989,261,880,228,337,150,101,779,396,413,578,678,102,137,172,
534,157,695,992,238,007,836,560,748,765,662,316,297,401,263,094,860,972,091,
303,580,770,329,621,955,034,201,394,399,032,549,850,852,226,930,231,638,541,
383,671,173,923,832,825,850,504,129,632,911,926,202,400,988,541,600,729,296,
328,292,717,875,071,124,594,203,595,466,872,200,098,803,106,227,439,535,031,
294,744,856,221,194,227,357,046,000,034,938,116,368,688,975,251,557,933,945,
101,024,895,910,334,445,228,824,949,564,928,053,234,234,662,820,240,713,013,
546,334,013,785,322,252,766,308,905,126,107,038,734,181,710,094,076,627,127,
035,542,045,589,404,242,450,407,750,779,251,286,991,910,742,417,762,144,541,
792,309,921,735,939,868,044,348,340,775,475,836,230,262,518,585,562,687,680,
676,909,893,064,845,184,850,888,764,800,521,414,485,902,482,321,660,470,248,
987,270,432,320,582,078,836,557,435,960,764,671,890,975,388,206,745,732,748,
053,526,226,507,445,883,531,047,936,672,179,415,700,434,639,988,456,461,294,
676,561,720,909,779,067,522,311,816,853,940,053,566,353,054,660,740,447,493,
274,434,145,231,859,714,677,096,769,294,429,087,046,699,096,497,044,555,855,
713,421,987,326,716,945,775,528,904,921,887,469,435,215,753,808,714,649,673,
178,779,142,865,844,133,584,280,667,754,354,534,938,827,322,273,323,494,612,
714,272,548,349,448,254,644,200,228,274,477,249,678,908,936,926,592,501,967,
292,636,009,671,495,834,359,763,974,784,318,753,468,401,239,847,422,635,893,
360,939,768,449,516,556,616,752,789,218,777,592,396,295,537,295,135,012,515,
242,174,680,052,545,036,259,427,832,102,355,354,188,010,680,256,312,039,095,
067,583,422,367,079,996,171,168,063,081,783,786,541,453,790,196,494,351,006,
877,320,296,708,082,991,345,692,725,236,525,440,655,359,690,046,914,133,986,
858,107,290,674,812,392,566,880,570,601,220,347,510,730,923,699,015,701,438,
655,905,929,772,082,802,816,771,896,669,705,306,612,330,456,485,038,870,586,
394,257,825,695,577,624,315,510,624,480,966,601,631,542,067,576,646,342,051,
020,917,020,196,552,009,472,111,833,589,885,837,176,421,775,699,089,135,291,
916,884,150,534,060,433,439,660,966,855,313,733,353,151,268,718,161,609,044,
982,664,295,865,128,018,176,060,856,849,044,242,341,250,141,781,604,395,326,
829,160,695,369,983,585,759,657,875,994,474,413,608,682,534,220,508,669,013,
035,708,214,656,346,046,325,410,222,450,094,449,010,040,914,035,634,715,331,
344,794,874,101,364,655,002,526,413,811,166,309,597,279,125,955,528,214,245,
131,354,098,590,825,628,833,526,380,386,858,992,080,589,849,056,506,422,239,
285,920,019,145,657,258,241,335,407,619,305,996,920,949,638,214,462,089,638,
992,421,435,070,112,893,306,556,370,422,184,643,866,851,947,174,899,393,234,
697,823,677,179,663,618,140,887,079,997,665,379,588,216,558,850,255,509,278,
548,004,216,935,059,031,009,053,446,653,020,296,782,129,216,882,163,338,218,
497,887,032,660,958,623,393,683,270,467,326,267,231,522,456,039,724,856,051,
775,076,201,878,590,547,506,549,011,504,948,398,132,418,935,898,633,547,020,
245,268,985,916,789,802,592,322,486,929,757,415,027,266,866,651,893,259,871,
899,705,158,541,470,898,725,506,571,335,128,631,238,983,672,919,752,561,547,
756,906,507,090,025,450,754,283,271,392,172,513,707,345,883,029,086,920,318,
915,775,280,081,559,963,607,590,472,228,623,715,017,036,429,728,447,450,108,
585,704,557,029,658,833,209,772,395,426,878,072,345,500,031,251,344,350,605,
671,840,755,018,074,033,621,116,526,916,815,986,755,364,060,339,612,684,361,
712,945,496,771,444,998,145,008,039,264,239,237,888,801,537,989,292,702,100,
572,719,481,335,534,543,801,192,770,167,966,836,772,460,238,598,690,401,903,
534,024,130,913,181,723,773,980,116,737,156,609,603,175,619,723,518,988,684,
285,474,173,006,863,537,484,846,449,800,324,261,076,097,915,652,475,684,461,
318,585,920,602,659,282,747,054,439,651,218,487,386,095,588,632,257,333,716,
257,968,891,275,905,674,189,704,236,014,831,088,270,950,275,701,010,820,145,
391,459,013,685,409,531,790,322,047,984,174,597,238,196,435,859,614,971,276,
052,010,121,529,209,153,392,734,053,529,106,002,607,100,906,055,277,575,925,
537,316,034,743,877,779,812,153,008,310,489,507,522,554,427,529,864,786,901,
076,858,373,137,912,108,133,033,744,229,969,144,528,436,239,416,857,096,231,
378,567,743,616,774,038,325,518,672,020,362,279,663,752,930,726,511,713,722,
838,305,093,821,011,470,274,936,823,049,684,554,366,627,593,942,434,183,577,
011,472,018,627,853,742,566,367,147,145,307,058,747,007,215,500,134,268,415,
017,687,356,159,924,973,362,225,768,801,028,656,186,889,718,199,852,317,242,
098,576,015,417,128,569,280,334,541,291,338,103,794,520,145,324,557,259,270,
551,191,517,980,440,017,647,016,984,547,555,049,292,122,463,897,807,273,271,
184,661,106,883,376,701,687,028,306,526,015,190,352,115,488,100,642,860,116,
144,895,063,482,499,246,552,762,388,449,821,983,996,853,802,181,978,898,740,
326,808,070,879,995,678,032,510,478,899,802,376,709,323,965,586,735,385,007,
090,735,152,893,409,807,411,205,748,990,594,624,163,565,369,345,458,686,853,
706,882,229,852,409,636,148,175,602,150,126,312,639,413,946,843,363,468,787,
444,700,510,519,780,296,286,011,172,662,832,122,404,951,156,464,866,924,290,
997,631,717,155,145,692,447,770,823,245,566,121,670,621,991,026,754,070,505,
989,330,918,192,849,232,663,293,089,112,578,599,910,772,920,997,949,276,009,
859,938,212,646,329,818,588,847,762,644,690,841,089,916,614,309,928,805,350,
260,308,187,507,196,779,859,733,560,495,083,219,884,804,496,427,548,320,120,
705,368,635,508,897,551,615,783,481,206,840,435,482,573,690,185,768,094,023,
141,231,960,663,230,477,663,048,332,736,819,817,874,421,336,586,534,794,140,
299,400,314,783,860,797,225,722,853,852,932,286,686,539,979,413,708,124,072,
693,811,326,281,728,651,592,775,170,725,534,678,889,809,419,466,428,125,892,
086,828,857,950,412,830,369,852,451,237,985,176,032,102,325,719,840,184,133,
102,226,772,670,306,249,413,873,542,980,780,785,867,081,139,957,779,803,747,
001,372,848,707,300,370,869,193,594,539,416,549,118,503,435,949,788,883,496,
738,821,540,072,092,763,064,244,035,406,766,247,958,303,664,491,599,760,936,
923,311,135,241,232,709,285,539,072,678,171,889,548,905,286,549,658,014,967,
457,100,987,105,245,398,513,769,350,807,185,737,251,548,956,949,282,099,505,
849,430,062,304,253,531,053,137,895,446,334,697,596,618,849,981,047,715,087,
879,150,803,892,529,921,786,593,233,816,821,339,966,979,561,135,575,129,031,
127,834,075,658,542,793,715,601,498,963,278,333,356,617,385,055,272,243,656,
571,986,134,790,563,578,381,265,638,977,453,175,385,456,787,240,931,071,082,
247,986,848,485,723,725,508,209,489,428,988,741,237,981,552,494,590,983,639,
897,423,531,383,011,199,344,658,220,878,473,846,436,158,044,094,018,659,496,
037,886,936,464,110,553,511,954,461,546,723,176,141,678,023,692,137,317,482,
785,940,624,387,693,889,868,379,935,392,895,115,150,786,702,159,041,474,831,
695,719,038,976,715,771,988,768,593,491,514,915,441,649,032,984,782,387,251,
470,252,157,314,420,941,740,900,696,958,234,898,921,947,156,185,653,400,646,
814,021,793,632,654,697,515,881,124,466,598,831,883,966,305,827,299,827,052,
350,495,194,994,338,958,333,185,158,534,464,708,255,928,693,113,756,439,582,
757,363,151,893,036,494,540,337,990,177,761,398,279,173,115,890,622,909,397,
236,775,666,523,047,363,336,477,413,462,224,289,193,764,256,970,798,265,465,
566,847,063,041,092,098,577,642,860,305,583,323,594,241,527,536,925,900,467,
708,663,553,611,520,511,359,517,996,321,678,991,485,586,118,018,585,685,546,
034,230,708,959,603,678,838,951,132,218,999,417,614,026,904,874,708,140,101,
949,973,609,385,903,720,274,311,684,822,420,770,578,321,283,556,765,478,989,
793,203,665,506,230,149,637,159,832,274,871,843,935,425,192,781,519,756,333,
990,540,441,389,551,311,003,948,294,492,604,404,021,113,517,375,051,376,030,
668,448,735,105,166,676,197,108,503,785,726,174,173,873,262,316,550,562,030,
158,987,270,343,809,527,925,981,607,743,598,681,064,604,275,239,753,716,109,
520,355,303,888,915,057,387,038,412,484,783,502,779,533,175,088,342,859,810,
034,078,272,487,998,916,499,468,285,060,851,177,797,192,194,467,008,753,715,
266,376,376,512,133,614,566,352,727,313,443,676,826,408,870,109,650,169,637,
724,070,998,582,277,330,586,826,980,082,457,185,855,647,519,225,401,935,754,
204,645,858,166,683,986,815,246,750,481,781,537,003,351,084,660,031,521,343,
500,224,247,472,968,448,746,491,448,948,616,786,610,548,268,107,688,069,755,
558,911,356,895,643,572,460,241,980,559,118,840,007,431,104,153,113,489,749,
926,791,370,448,616,530,659,822,760,408,202,356,156,330,326,795,979,042,920,
225,361,158,598,605,772,000,638,477,740,450,188,809,035,096,241,441,193,214,
620,999,539,852,415,669,225,195,583,349,480,798,710,239,132,414,195,647,189,
768,954,808,590,495,595,149,260,888,889,562,966,393,888,762,191,096,026,389,
091,159,165,602,041,788,238,527,682,554,394,735,526,911,790,402,703,661,341,
581,029,974,585,493,584,057,507,775,644,764,716,794,882,558,300,367,220,538,
670,135,908,506,181,373,336,383,160,609,362,201,892,121,677,079,665,985,183,
876,531,293,734,247,053,805,333,695,564,351,937,971,080,059,567,787,263,920,
437,130,955,006,735,813,564,685,129,165,149,716,095,114,791,656,838,036,155,
969,232,958,147,953,868,023,197,483,441,750,257,863,816,823,969,168,142,753,
351,780,058,009,155,855,576,583,495,366,809,044,469,848,150,219,125,076,299,
509,404,275,536,263,884,396,631,135,449,483,632,455,463,654,225,340,219,991,
175,221,772,504,467,690,036,939,813,609,437,858,346,754,729,681,658,199,790,
493,798,277,602,978,973,328,687,114,503,459,610,345,686,914,879,977,040,990,
886,527,731,342,226,808,613,155,428,386,688,787,236,818,084,360,745,544,053,
471,145,550,636,486,551,544,734,211,843,324,219,494,872,234,447,698,652,989,
014,015,191,381,047,404,839,477,167,112,599,299,351,490,287,732,455,285,686,
924,167,976,770,419,439,575,700,470,782,757,957,764,273,490,424,975,085,255,
075,950,467,237,670,375,509,130,638,669,269,918,668,750,229,594,945,750,812,
142,276,432,192,504,075,474,977,751,842,463,982,824,235,064,022,148,740,768,
181,445,858,760,828,750,844,376,254,949,711,921,047,818,398,012,890,670,298,
212,352,864,140,020,864,976,089,843,704,851,296,176,199,528,684,553,003,254,
666,667,332,837,080,886,690,214,008,581,967,213,521,938,912,861,185,662,810,
160,776,090,492,177,027,666,505,592,044,875,613,141,594,063,593,362,826,495,
076,094,897,543,216,489,360,447,549,712,403,524,864,626,624,755,557,898,587,
357,322,083,155,530,338,418,378,381,485,722,651,553,632,401,183,202,412,012,
635,620,993,314,457,913,665,203,646,727,547,550,128,510,318,608,704,159,139,
453,297,156,844,283,375,244,526,413,837,045,566,074,381,342,891,844,038,150,
039,268,647,191,182,525,399,858,789,861,754,818,458,192,121,306,717,238,314,
467,622,483,414,862,873,317,259,105,043,846,298,294,338,810,765,387,053,097,
613,989,339,279,953,588,567,707,415,587,676,666,244,538,343,465,035,036,643,
249,055,185,388,300,398,470,352,636,424,531,583,270,170,911,600,578,925,350,
530,029,262,292,907,922,835,678,669,273,747,646,599,440,237,451,422,633,038,
412,760,842,031,536,862,606,036,118,629,270,039,998,071,961,694,078,493,626,
316,129,603,701,424,034,141,184,393,862,232,488,692,360,052,330,533,893,887,
659,651,036,652,886,470,041,200,296,976,849,049,308,905,624,905,772,441,960,
770,924,143,191,126,253,139,691,520,438,628,468,138,235,580,470,954,413,415,
272,279,826,851,396,689,566,124,296,641,843,829,172,701,203,104,408,425,962,
794,525,279,410,579,826,839,227,437,631,595,221,098,143,128,265,396,161,753,
262,933,285,250,269,498,632,194,887,881,014,374,067,594,933,325,268,704,690,
398,020,184,261,504,004,022,906,541,398,669,186,159,653,172,249,469,635,564,
640,340,487,034,588,685,804,983,763,362,542,571,579,887,466,414,332,661,166,
589,564,044,411,421,737,727,541,950,548,570,654,009,317,775,414,002,079,752,
993,475,289,923,059,442,991,516,471,994,409,003,010,217,557,494,745,616,091,
129,797,695,560,620,530,951,281,228,017,190,529,002,780,950,711,567,246,883,
701,218,553,756,482,043,983,204,239,256,176,659,943,314,963,848,039,128,527,
191,854,129,256,298,599,754,670,018,010,589,651,902,477,859,516,000,724,742,
857,839,200,223,699,202,056,629,801,532,107,455,211,421,955,159,223,293,518,
193,232,119,426,451,928,784,060,407,519,370,927,987,147,746,703,891,436,987,
176,916,428,513,089,363,779,294,791,172,353,867,496,920,917,798,327,060,621,
740,937,675,523,589,168,614,552,492,940,528,759,044,922,355,246,473,515,635,
691,548,690,835,000,399,909,277,148,039,997,284,843,344,171,369,156,389,601,
202,314,239,771,005,745,802,235,775,335,830,934,488,838,172,110,104,603,693,
187,135,773,509,635,504,982,652,781,348,853,319,428,995,322,016,826,932,940,
515,376,677,692,115,256,825,677,893,801,400,382,249,406,253,668,036,618,526,
202,642,229,623,264,439,632,402,290,648,916,291,475,897,935,209,199,415,095,
321,216,701,107,720,408,551,588,775,516,388,172,931,740,910,222,759,703,645,
604,305,147,502,814,798,327,158,744,192,735,799,738,130,242,377,580,070,825,
870,787,972,141,153,788,542,368,842,889,041,135,266,190,469,068,665,085,997,
862,575,042,034,545,926,615,633,143,904,121,081,366,536,646,413,835,556,112,
182,350,127,484,995,063,950,695,574,269,308,334,630,498,464,697,586,632,924,
021,592,681,832,997,432,200,239,567,728,183,197,668,438,217,102,430,847,676,
348,593,321,711,970,546,727,017,474,452,458,644,851,833,799,894,081,231,279,
671,612,378,487,685,304,772,254,442,702,042,981,029,594,968,571,883,173,738,
246,586,360,435,273,122,754,215,599,985,700,212,267,695,981,627,579,912,837,
617,776,729,294,977,536,411,700,534,007,282,969,547,288,547,283,627,375,083,
764,499,698,950,815,745,962,158,199,310,914,019,811,424,820,392,826,773,032,
299,299,337,298,299,893,193,609,679,198,558,611,444,180,091,637,581,585,974,
961,746,472,860,241,054,647,260,462,642,156,395,213,887,539,276,378,765,724,
542,633,964,420,489,455,718,277,713,386,504,208,911,899,622,867,706,165,273,
350,434,001,504,092,400,716,603,018,322,481,196,627,641,894,675,858,390,886,
662,809,446,844,999,091,022,896,039,120,976,460,778,975,620,659,854,532,548,
057,684,478,247,344,823,933,469,516,227,286,827,056,376,026,191,022,280,652,
352,668,766,163,787,223,146,680,658,868,778,154,259,699,058,289,780,513,848,
323,586,397,911,171,908,805,716,227,832,607,278,820,678,305,122,089,775,050,
323,987,071,436,317,998,342,933,189,776,799,267,391,871,251,152,399,898,692,
501,527,540,722,735,330,593,245,506,346,968,794,283,747,224,944,423,256,553,
967,014,863,232,460,188,147,462,679,731,066,867,295,879,464,772,867,591,355,
988,238,655,793,814,238,361,209,293,847,086,002,953,188,445,913,079,643,349,
844,870,718,282,728,638,030,283,202,414,212,389,656,769,881,382,008,019,688,
183,097,748,223,156,545,531,416,779,978,514,716,115,972,725,540,803,839,170,
501,044,006,546,907,529,599,791,084,899,216,739,863,260,116,559,220,758,804,
241,974,734,607,204,471,363,579,997,661,536,935,780,630,210,724,141,930,019,
454,310,553,429,086,144,796,027,361,612,018,438,499,009,176,754,973,337,060,
515,494,145,905,879,339,310,635,673,490,661,403,416,742,168,481,297,687,085,
471,270,882,525,499,180,045,525,545,938,317,953,027,453,985,962,597,516,373,
111,419,050,220,032,529,894,892,407,753,703,202,489,159,595,010,595,417,701,
609,121,110,651,830,919,135,501,564,949,434,322,473,737,790,653,392,570,130,
942,586,920,036,228,252,125,420,562,113,996,289,953,082,633,865,495,869,531,
057,635,401,665,950,390,730,254,744,541,722,737,984,061,150,318,457,164,095,
865,764,239,792,527,449,059,240,865,095,171,267,844,735,332,242,133,957,046,
822,514,726,945,424,582,094,989,452,954,289,204,397,140,718,624,673,840,443,
861,787,819,347,017,844,279,455,577,630,622,448,674,514,233,385,157,520,557,
916,558,724,590,664,306,601,779,699,694,866,597,197,277,628,883,831,244,908,
051,472,906,540,667,661,635,428,725,573,181,518,089,434,249,092,718,326,447,
220,105,974,004,832,812,963,731,930,180,701,394,155,959,286,490,072,287,587,
890,652,127,743,601,681,501,991,796,599,128,919,373,701,306,675,397,535,423,
678,578,260,319,027,287,547,725,845,207,720,565,515,947,607,845,014,201,975,
962,736,334,389,552,229,561,777,952,316,534,778,015,862,551,994,252,518,252,
585,605,595,904,087,744,897,984,158,080,781,179,535,591,663,791,217,538,094,
222,842,643,364,881,813,001,382,725,305,641,550,180,169,784,682,494,375,014,
729,323,092,217,384,240,811,784,168,931,052,558,020,913,700,338,670,693,136,
236,594,334,174,150,777,764,346,080,922,557,282,929,679,252,749,662,936,890,
739,734,440,450,051,673,257,632,968,118,609,926,517,298,278,832,968,597,794,
553,538,203,185,784,740,178,789,781,889,940,412,521,143,153,731,967,699,632,
184,906,706,956,162,132,009,457,063,796,576,259,355,618,296,257,370,120,322,
676,504,722,737,332,863,795,174,912,245,373,219,865,470,363,537,637,258,743,
753,017,414,082,337,648,323,079,382,362,363,901,158,862,403,880,836,133,688,
282,705,024,457,181,908,561,702,712,409,241,052,432,825,694,404,756,035,400,
075,244,846,326,818,812,302,552,373,762,146,466,149,513,644,499,835,663,702,
689,635,656,576,470,546,045,917,902,455,712,713,577,138,940,919,581,044,601,
977,466,862,194,433,441,838,278,847,421,102,212,749,286,658,984,583,220,871,
527,727,978,042,167,909,864,574,997,985,765,854,472,924,693,616,929,736,174,
409,890,370,670,900,300,745,773,814,909,245,074,850,692,095,120,140,651,515,
106,376,270,519,655,985,978,370,951,861,268,831,068,668,434,503,609,292,134,
083,846,983,612,342,475,745,887,859,922,168,370,367,058,708,665,493,311,780,
137,899,547,581,607,996,699,981,500,042,972,909,808,264,494,760,659,264,733,
139,766,337,550,335,848,816,774,508,425,916,418,679,611,072,362,195,649,757,
002,837,893,306,577,229,766,123,343,416,574,873,386,911,278,838,817,849,493,
784,675,900,536,388,343,378,932,115,008,990,966,011,413,743,622,021,844,917,
148,425,927,072,876,258,650,934,108,304,601,748,427,716,315,384,342,678,313,
755,185,748,474,408,582,983,378,344,458,612,183,492,195,946,998,757,249,706,
897,297,533,463,443,122,342,412,419,219,130,013,980,921,129,027,608,129,063,
221,625,682,995,991,653,829,868,160,383,092,969,129,619,403,595,061,914,514,
307,235,012,957,136,590,876,835,371,708,553,990,956,432,840,580,465,438,993,
895,809,794,579,895,825,781,958,704,377,641,192,764,725,217,261,237,681,791,
005,540,858,558,271,710,200,688,339,411,957,744,673,325,036,680,184,190,762,
359,328,007,495,255,558,297,703,836,975,801,383,451,366,451,228,406,370,506,
502,008,335,594,614,638,669,827,269,956,007,589,282,888,762,132,461,873,141,
290,939,225,912,083,136,482,080,056,674,263,382,699,423,238,811,506,528,171,
954,467,781,078,506,824,415,844,720,701,217,314,515,437,866,394,517,026,158,
008,964,700,793,718,342,012,662,645,311,507,080,168,125,481,954,191,374,769,
536,504,653,907,226,721,219,067,186,078,999,883,313,574,482,310,812,087,059,
918,321,036,794,627,327,442,154,778,867,483,758,708,462,170,886,838,823,069,
309,194,745,397,570,425,451,609,807,966,459,500,835,115,077,470,149,744,642,
513,441,968,964,997,274,742,601,853,865,718,134,481,616,816,598,316,113,069,
753,666,537,726,966,872,729,262,279,922,056,312,046,296,786,891,784,941,349,
586,095,576,312,941,255,099,420,575,251,596,136,472,216,696,056,521,176,177,
855,505,419,802,661,979,597,965,168,127,076,245,074,938,250,826,967,963,506,
798,786,093,347,073,962,272,173,797,216,811,549,294,155,547,027,214,780,677,
970,287,514,648,705,783,021,569,953,192,099,927,450,016,516,559,191,772,853,
413,369,445,221,630,954,437,603,870,261,303,416,093,806,537,137,115,187,655,
653,496,822,974,935,394,137,722,168,853,043,605,575,460,361,671,719,417,075,
825,071,929,105,307,019,506,976,611,186,073,636,626,039,684,720,110,542,435,
011,808,370,757,570,478,225,978,875,854,462,392,870,886,543,096,669,635,514,
493,858,714,220,197,252,037,682,335,106,925,146,444,211,963,630,111,997,243,
806,251,462,931,149,511,516,101,792,127,315,961,262,374,690,738,739,710,642,
927,467,960,215,356,065,877,871,235,898,853,418,973,946,537,625,053,826,491,
526,439,402,923,453,954,207,918,557,993,680,262,447,498,952,970,905,520,434,
659,554,354,193,793,492,072,173,954,915,521,226,960,026,865,448,025,503,303,
930,347,760,047,346,346,848,893,514,380,004,126,138,400,762,094,354,533,045,
418,840,798,184,610,183,715,663,382,570,584,695,318,081,090,393,785,516,458,
505,332,004,476,077,573,191,095,224,676,440,416,117,435,308,319,864,750,534,
134,231,035,409,438,652,933,525,449,030,640,735,170,441,961,179,939,813,622,
463,571,506,837,499,222,734,004,764,995,196,154,985,919,366,574,379,153,760,
303,116,219,275,306,549,309,602,723,814,748,082,414,388,067,268,081,703,476,
591,438,024,308,523,463,697,929,132,775,757,833,587,433,984,996,846,691,928,
713,804,538,965,271,541,778,373,844,053,376,156,188,385,158,679,417,295,496,
346,515,249,555,526,323,985,767,602,741,487,895,996,654,320,133,768,552,205,
162,046,308,692,853,786,421,430,380,938,091,965,335,862,194,446,836,705,123,
786,606,130,983,959,518,913,201,247,408,302,581,490,171,627,936,987,115,339,
907,151,347,679,714,375,869,913,317,110,777,574,631,880,424,699,725,732,228,
750,159,567,780,815,199,497,159,560,106,517,473,741,894,880,349,119,369,879,
377,172,522,338,522,690,642,017,619,166,628,950,729,148,353,863,294,578,090,
447,574,969,524,703,014,691,580,185,689,058,543,552,837,038,415,223,808,163,
894,421,990,201,203,460,905,461,766,340,143,317,544,617,369,062,374,662,939,
417,249,439,303,161,355,823,217,256,730,444,818,238,142,752,982,402,071,332,
896,703,134,833,497,390,602,948,146,434,100,897,066,145,844,939,661,833,533,
313,843,896,133,889,812,658,831,772,205,233,619,047,505,450,468,217,215,651,
606,810,357,062,390,821,591,348,989,254,154,934,587,060,140,851,062,234,205,
944,039,242,487,560,896,223,095,676,855,005,911,448,039,155,641,434,101,314,
457,072,046,786,247,635,124,301,215,110,657,734,092,126,318,565,748,930,784,
141,374,473,037,319,622,909,551,884,924,270,642,218,800,666,372,166,095,434,
983,365,395,804,004,461,458,923,235,149,177,074,157,142,554,609,786,922,340,
763,816,135,312,365,791,502,010,184,424,323,703,061,630,273,916,745,515,744,
415,167,169,895,333,608,237,802,050,802,119,840,429,746,380,064,876,461,653,
200,826,216,918,948,040,867,524,830,146,458,750,155,231,494,549,902,248,235,
547,418,370,247,731,432,576,940,462,995,103,164,138,004,531,234,876,013,565,
746,046,962,783,851,897,883,307,854,276,645,237,917,846,966,017,133,999,969,
680,477,161,029,481,343,685,171,324,687,121,819,860,877,382,619,719,789,818,
213,215,713,591,963,598,468,847,564,442,232,966,524,202,744,435,652,495,965,
278,983,266,643,560,391,308,591,813,796,076,306,018,468,879,133,130,501,148,
466,100,923,815,619,848,016,566,281,444,670,330,367,866,940,000,951,608,282,
651,619,791,490,924,832,165,788,866,626,459,457,786,221,997,039,766,148,322,
130,842,043,554,832,660,003,270,443,714,095,512,467,454,547,137,450,112,315,
716,289,750,116,682,985,556,636,835,033,783,137,387,078,705,593,576,372,091,
321,075,301,935,081,192,926,290,465,974,722,306,390,587,696,418,363,280,381,
007,013,156,400,654,764,202,617,984,732,130,842,151,088,505,411,998,158,515,
766,816,011,212,190,860,128,057,869,009,524,344,564,021,233,334,781,676,140,
499,440,971,945,321,484,327,091,849,405,837,843,826,012,882,119,589,065,913,
662,200,597,513,753,427,567,461,096,538,131,714,079,512,085,856,549,144,565,
516,868,514,760,152,608,646,511,635,333,268,043,406,968,406,846,700,088,002,
467,097,955,717,690,391,164,798,523,855,971,978,017,587,888,004,507,828,690,
679,237,965,880,330,968,549,197,584,572,947,748,674,403,337,209,500,626,616,
236,284,520,417,828,469,882,441,955,367,058,465,782,957,445,282,135,613,525,
958,598,705,559,792,879,623,325,983,075,975,516,153,547,799,924,450,861,871,
983,545,349,328,532,136,149,996,722,080,349,536,690,433,421,425,419,225,724,
907,645,046,098,108,691,961,595,276,890,585,194,579,951,551,607,453,810,892,
226,546,063,532,580,888,992,899,818,482,512,533,766,473,347,319,878,531,704,
502,800,002,915,418,739,193,955,056,077,758,604,443,373,471,272,216,930,341,
148,075,440,514,891,730,623,680,880,801,018,809,654,169,384,804,414,238,002,
671,985,743,118,179,978,666,435,953,569,808,014,609,826,876,013,611,101,012,
842,862,479,517,316,525,884,194,648,820,665,035,486,666,369,018,398,754,024,
213,765,376,566,627,780,191,643,204,435,771,140,037,297,034,548,026,664,142,
636,454,478,162,470,052,876,929,832,859,636,832,214,528,962,180,710,526,161,
070,409,291,405,414,566,415,187,636,168,123,897,194,396,223,376,654,613,502,
364,555,878,556,164,880,343,801,032,794,514,262,832,129,633,816,971,140,460,
690,032,400,005,922,963,920,118,661,664,112,006,151,883,256,066,983,776,118,
148,996,718,158,216,416,417,130,458,961,956,611,981,374,166,581,523,626,433,
730,812,070,001,157,127,153,793,119,828,268,750,567,761,784,217,298,154,106,
831,860,535,168,734,359,225,608,375,684,395,197,771,008,239,434,321,392,863,
580,502,675,215,038,011,293,341,807,955,994,910,602,887,287,977,468,627,481,
262,902,416,923,231,263,491,225,000,215,462,865,647,811,800,099,586,128,716,
077,919,514,187,289,559,202,209,917,429,341,273,041,168,310,919,205,718,739,
202,212,731,674,174,745,611,194,636,543,156,768,883,708,882,562,762,981,550,
178,878,234,659,090,837,676,158,635,197,066,733,806,600,107,920,736,142,164,
662,195,763,364,003,322,386,442,815,352,475,339,443,212,351,675,342,545,285,
976,665,105,113,953,107,387,988,371,744,348,074,226,411,320,186,288,846,799,
504,478,205,663,126,748,263,004,071,601,615,115,018,034,740,523,103,551,793,
378,558,200,385,620,363,675,734,507,664,353,398,154,626,687,394,508,885,001,
440,342,077,452,192,414,637,469,573,051,460,394,195,407,712,104,038,712,594,
026,416,987,689,060,578,118,562,583,524,602,026,240,390,030,868,575,493,273,
460,565,099,314,571,953,621,422,720,049,049,311,661,089,508,600,370,522,101,
364,773,194,804,438,008,726,238,552,121,076,110,598,555,460,624,281,622,527,
173,131,229,412,907,883,697,178,238,074,915,169,117,492,879,085,217,224,003,
884,227,958,278,999,295,772,128,006,193,831,109,971,013,683,619,556,502,137,
496,251,300,390,996,106,633,241,273,946,857,683,303,458,888,331,959,745,992,
428,301,506,986,576,843,642,955,678,431,612,613,013,041,048,027,397,475,492,
876,207,109,502,488,520,523,434,785,808,846,599,960,189,802,805,983,860,887,
172,454,119,122,428,469,617,877,402,390,949,877,255,027,669,771,325,252,076,
426,933,123,604,476,287,241,447,343,591,440,968,276,904,549,181,593,668,112,
791,169,648,236,743,119,231,279,089,683,875,747,713,668,163,894,474,551,857,
659,942,634,455,396,940,176,602,522,865,584,841,212,448,968,448,356,912,961,
184,558,700,793,493,190,811,743,728,778,634,877,094,355,023,001,892,939,481,
357,581,978,470,586,693,835,571,086,286,022,909,919,080,821,929,981,236,603,
471,109,009,480,393,938,020,003,817,950,592,311,574,818,490,165,713,099,868,
836,479,422,620,485,012,862,302,297,410,619,558,003,706,871,421,100,426,294,
899,292,068,445,307,849,861,752,274,710,456,700,351,581,885,910,707,352,352,
718,560,093,512,024,680,483,030,093,263,656,588,952,871,655,894,108,015,219,
591,471,322,815,031,284,900,905,736,451,290,355,396,635,607,651,683,306,221,
570,570,422,971,277,887,726,216,698,756,233,945,914,436,250,917,333,370,397,
938,137,189,918,220,702,466,891,972,222,468,531,195,846,331,463,455,169,781,
767,322,659,413,627,308,727,361,924,804,722,559,909,769,967,234,306,002,548,
600,979,802,513,357,551,971,946,255,638,029,449,646,111,364,407,459,736,777,
698,753,459,077,384,286,267,679,274,730,435,275,911,396,755,324,967,282,341,
226,441,416,479,332,365,083,974,789,490,852,549,090,928,980,658,213,962,793,
227,466,255,654,604,898,945,149,329,768,593,386,937,374,371,280,734,078,069,
245,270,203,059,867,098,436,854,936,374,509,709,384,714,322,013,282,794,341,
610,194,559,127,544,136,562,156,300,400,166,464,910,139,885,278,328,619,740,
199,032,730,301,337,834,216,024,204,826,711,658,039,592,088,505,677,931,087,
865,155,210,296,266,928,323,052,105,178,758,422,007,356,272,869,009,551,575,
615,466,791,601,254,349,412,509,352,073,373,152,298,022,819,839,341,198,697,
055,165,966,130,912,240,831,411,957,036,429,594,576,070,272,766,428,232,867,
056,340,326,106,538,588,743,309,298,325,592,458,692,594,774,524,342,417,228,
934,956,789,998,491,363,353,265,019,634,300,339,736,983,420,108,333,155,236,
064,259,141,401,428,252,129,489,259,031,021,208,107,397,347,653,316,586,389,
996,591,533,872,452,069,834,978,813,688,715,537,569,956,119,365,257,146,681,
856,475,321,847,472,528,205,482,153,416,121,700,152,981,566,033,085,114,467,
451,539,515,990,042,727,008,172,005,446,525,290,781,280,555,966,504,152,108,
939,787,919,056,041,006,278,831,051,141,428,310,601,008,272,817,965,284,259,
960,382,349,542,259,728,590,245,849,072,372,609,468,614,542,856,627,967,967,
165,036,837,390,437,999,980,143,878,225,183,986,188,190,445,587,367,299,904,
442,988,196,975,560,434,549,673,480,162,584,540,814,370,263,339,664,678,427,
521,313,176,091,308,119,930,157,335,871,453,988,320,981,760,988,487,549,677,
464,272,139,113,236,526,752,857,930,096,717,636,284,727,020,556,619,336,013,
148,357,485,144,596,008,014,519,515,726,649,791,157,026,994,912,571,705,097,
933,515,897,863,382,749,314,296,396,871,051,727,772,763,336,295,477,705,965,
402,388,446,023,424,007,552,100,317,115,726,056,570,424,670,993,409,756,383,
079,852,412,911,850,357,327,952,844,928,759,809,363,428,585,999,808,024,213,
125,455,357,731,151,206,031,753,119,299,458,353,929,324,292,173,893,525,559,
499,007,167,946,561,693,168,499,550,473,757,752,758,854,848,947,316,819,980,
259,786,954,874,540,103,127,000,268,186,565,047,335,031,441,034,967,395,191,
636,769,149,589,898,772,666,066,023,970,234,857,259,820,229,315,978,943,142,
131,819,411,030,261,122,832,719,176,544,717,688,791,597,431,682,854,680,533,
269,580,008,058,307,130,802,722,555,294,323,287,143,955,824,243,846,433,988,
066,786,939,548,928,357,636,776,556,785,371,587,754,440,759,084,329,199,449,
433,854,975,580,611,936,821,436,751,632,686,017,394,011,790,274,905,973,041,
812,626,766,632,438,177,521,784,187,756,544,424,684,864,770,790,388,278,471,
791,221,609,357,434,501,155,370,791,047,576,113,990,343,502,848,219,045,911,
313,533,035,577,040,618,502,822,436,464,727,681,283,641,158,769,662,375,288,
625,489,044,321,029,017,915,339,167,928,339,299,313,806,752,282,279,575,868,
213,377,171,095,350,269,999,448,997,688,774,577,691,998,574,617,179,575,033,
091,126,484,870,658,474,166,920,897,412,927,328,621,812,654,929,968,480,421,
767,529,734,431,695,350,817,051,971,509,653,987,618,135,294,830,777,595,216,
698,288,785,983,616,445,062,520,191,695,239,769,106,061,495,139,644,697,486,
371,887,298,268,409,124,207,813,722,199,446,928,758,386,042,541,903,848,160,
781,733,426,803,917,275,674,015,522,817,823,396,399,664,434,873,352,795,801,
827,801,818,204,229,709,916,055,256,186,022,125,681,176,972,776,935,781,293,
001,300,342,666,813,345,852,908,518,786,907,947,109,537,277,839,112,159,115,
010,647,340,163,236,983,849,548,521,296,915,399,641,911,328,733,855,418,057,
885,659,088,800,488,924,032,770,690,431,945,516,802,738,391,684,687,286,317,
906,441,896,050,305,297,235,776,301,120,187,060,880,940,387,698,683,870,355,
904,773,085,082,383,421,216,237,006,689,695,038,748,107,431,427,554,197,594,
041,629,646,766,585,640,576,501,919,800,288,506,470,137,296,716,711,304,689,
386,925,511,673,577,149,229,783,662,002,652,606,895,050,982,442,809,831,746,
221,029,787,631,969,057,946,186,938,575,289,081,255,590,561,209,776,339,789,
421,097,925,838,959,331,109,678,340,585,869,287,363,991,877,032,144,465,634,
029,943,936,114,257,532,574,625,598,308,909,583,665,422,599,888,115,710,759,
515,905,490,342,586,056,704,824,809,231,988,054,876,420,092,180,471,682,517,
636,313,385,057,389,234,844,041,302,428,517,967,932,518,730,728,774,454,921,
053,331,668,732,293,141,468,312,617,198,767,655,041,787,471,609,373,970,120,
914,212,642,714,750,775,459,386,138,375,525,718,959,134,190,064,987,475,818,
324,673,807,143,580,347,057,196,683,812,307,523,511,676,289,911,769,910,529,
458,779,664,243,563,025,248,346,386,634,467,401,442,405,366,226,144,702,321,
664,326,760,908,391,275,523,277,303,221,947,256,591,593,389,791,099,827,002,
553,630,032,176,440,978,449,917,147,865,985,994,334,901,577,735,396,293,353,
405,650,011,162,590,579,040,631,067,966,516,608,349,052,651,177,873,355,565,
448,655,351,241,793,785,958,205,715,026,977,831,915,773,521,961,285,918,041,
680,954,911,779,650,014,560,101,001,851,029,771,293,744,268,527,231,217,873,
126,234,599,646,362,507,241,250,010,299,092,998,881,817,626,748,171,443,470,
486,318,872,415,277,653,070,506,722,728,109,764,694,006,152,377,851,960,250,
334,235,820,555,661,421,779,924,190,466,749,236,187,912,374,011,092,563,928,
048,476,839,062,295,291,590,859,269,434,574,024,052,239,125,585,156,495,036,
271,807,215,626,536,006,798,948,203,537,476,597,553,303,291,019,479,138,633,
613,121,788,327,620,144,650,668,607,446,730,503,212,757,317,847,991,044,056,
750,707,866,841,860,203,998,566,281,634,223,722,366,520,291,019,029,035,241,
349,195,750,369,321,186,044,904,588,803,710,885,928,574,590,442,277,866,228,
734,163,792,481,747,525,638,350,619,308,927,437,096,256,677,957,319,190,472,
814,575,932,978,093,056,617,201,441,959,800,204,143,367,031,368,640,735,893,
098,016,650,834,777,291,113,559,548,644,294,878,198,249,053,619,186,282,149,
697,791,782,939,669,956,797,729,745,114,324,313,964,200,489,394,270,958,351,
359,515,516,807,050,901,329,844,958,561,137,102,008,935,983,867,951,573,548,
671,244,783,495,616,962,796,849,621,118,784,846,571,144,304,902,277,752,279,
274,589,568,171,396,110,914,730,220,144,489,665,999,877,319,450,792,119,587,
417,714,480,859,031,729,286,727,243,566,780,271,138,056,785,866,983,738,918,
535,941,160,576,515,174,392,206,755,810,559,076,374,826,713,641,955,576,463,
292,709,513,682,193,827,786,248,842,154,969,018,005,261,061,081,753,572,834,
267,252,737,347,545,626,278,674,343,301,917,301,666,061,870,484,989,162,532,
497,276,957,020,212,528,884,141,015,380,852,083,271,160,943,230,233,954,601,
209,317,343,333,691,745,756,208,316,876,864,540,610,854,272,484,281,987,996,
740,568,265,309,165,549,116,499,596,563,560,415,754,930,942,767,336,515,242,
378,907,998,038,873,765,077,936,391,814,354,554,933,910,746,708,991,769,283,
461,084,623,792,083,203,077,184,594,715,902,235,346,502,383,193,795,703,526,
706,327,272,552,137,726,239,480,658,927,544,034,087,254,367,997,254,696,827,
912,942,703,292,465,681,841,430,670,793,362,408,781,782,345,493,134,043,290,
293,905,026,558,399,616,782,751,226,133,634,168,805,680,605,983,398,120,545,
856,148,363,207,689,309,890,897,531,121,112,774,384,614,177,880,041,876,640,
441,522,563,813,184,901,559,970,525,162,791,597,096,512,255,010,301,987,664,
390,294,834,306,244,900,496,798,852,918,219,841,685,479,060,581,005,038,328,
576,498,845,781,831,902,231,581,178,133,940,148,536,935,670,266,257,341,641,
094,268,809,936,508,201,413,465,358,283,088,333,662,520,113,491,119,676,577,
344,063,895,546,862,941,975,653,632,179,424,271,276,629,006,399,895,852,063,
280,737,135,115,279,334,318,200,590,145,820,911,062,212,308,236,642,118,585,
940,772,190,808,787,311,648,065,542,932,283,432,255,896,987,919,534,748,177,
828,418,670,307,565,683,428,249,283,534,771,614,285,659,900,289,792,881,319,
352,921,727,806,956,600,936,261,510,680,118,421,110,680,230,118,879,639,084,
951,322,847,991,628,251,203,693,625,598,826,744,394,638,784,016,452,097,427,
531,182,907,622,439,970,783,667,998,643,417,830,098,830,511,233,440,799,982,
164,276,849,067,938,462,086,846,391,017,042,302,191,109,834,169,864,603,670,
066,667,447,686,644,254,893,507,644,153,116,464,327,093,350,402,219,999,848,
151,182,533,518,251,744,738,064,045,111,673,205,741,278,730,002,005,058,966,
351,391,914,939,588,116,098,705,406,505,120,017,412,628,906,083,227,830,874,
027,500,851,278,207,660,509,917,453,367,765,221,921,080,462,627,516,639,816,
902,431,595,315,600,544,736,685,652,939,890,755,937,873,437,204,013,764,072,
377,558,593,472,017,961,861,280,744,610,312,685,894,401,809,925,315,934,099,
890,444,181,511,964,835,115,213,123,456,278,892,960,596,942,920,268,633,918,
031,225,694,089,473,109,094,447,807,290,076,180,570,981,746,416,941,392,974,
014,883,392,564,310,300,946,125,680,205,032,383,345,379,387,176,263,947,089,
242,519,137,452,455,309,946,089,701,290,505,717,413,569,078,476,263,325,851,
575,195,346,255,819,873,204,439,565,076,985,082,167,794,653,742,780,698,146,
648,505,022,606,731,734,909,145,059,871,680,347,458,654,348,690,338,067,998,
261,803,680,738,024,397,042,930,707,378,147,236,145,342,625,014,766,058,148,
064,977,864,289,340,784,692,679,708,808,843,030,773,371,949,965,279,180,003,
814,485,348,730,736,506,469,350,081,662,850,331,836,509,025,880,685,656,055,
828,582,602,817,699,526,788,764,204,243,255,404,399,899,360,449,493,774,302,
603,182,697,105,095,242,749,334,215,575,343,327,818,274,316,697,377,939,175,
917,679,217,309,375,813,805,039,534,549,550,158,054,177,424,375,736,487,645,
704,407,402,529,433,325,581,689,541,555,330,057,344,843,097,976,783,327,821,
282,957,441,519,610,066,270,472,110,651,855,909,842,803,215,020,272,500,025,
687,373,325,266,141,921,029,104,438,290,060,955,721,566,424,172,590,126,429,
066,864,983,423,341,221,160,227,402,006,978,722,684,566,142,595,211,252,781,
794,299,103,683,488,970,494,972,139,969,986,691,212,925,517,035,186,039,225,
984,143,755,973,229,939,251,504,742,659,275,176,436,651,600,103,569,141,833,
672,885,276,723,513,457,770,159,754,818,164,105,967,833,004,489,068,119,498,
244,742,150,197,925,965,110,380,311,388,148,210,453,030,417,790,123,277,470,
711,403,609,727,914,382,169,971,993,335,389,518,086,659,961,600,511,782,464,
824,153,215,509,381,902,221,540,031,838,901,191,055,432,885,822,085,306,585,
795,424,412,353,821,288,976,220,832,495,486,656,354,023,973,656,789,039,751,
364,609,484,717,658,105,574,578,148,646,872,961,400,690,944,855,433,514,354,
683,328,343,170,463,688,844,897,971,440,537,620,138,616,541,549,741,873,337,
202,461,497,726,860,693,488,730,953,250,002,248,277,230,794,244,757,673,600,
224,394,967,537,237,087,554,375,557,726,525,734,796,831,044,237,204,114,947,
033,633,970,743,331,459,729,798,092,608,290,953,018,525,393,515,620,660,203,
033,024,254,065,146,304,684,901,070,139,881,828,350,700,234,987,299,566,979,
167,831,187,830,972,900,643,941,891,541,241,936,980,558,676,265,554,125,290,
714,363,352,839,482,613,420,129,641,813,942,547,514,499,926,381,115,494,710,
386,460,289,751,783,774,067,416,104,245,481,274,520,810,560,182,923,368,384,
179,909,754,970,746,096,072,595,945,118,832,899,083,737,720,367,433,516,133,
645,228,176,585,810,207,815,990,935,852,102,700,475,685,379,052,279,867,074,
077,452,021,154,943,995,912,354,126,803,081,452,459,499,434,840,933,369,166,
987,526,382,642,920,518,457,764,756,396,778,263,416,967,400,462,901,275,698,
839,585,314,991,572,654,001,571,881,310,040,214,664,395,163,242,549,091,342,
128,400,801,938,132,480,246,134,970,293,861,738,746,184,701,212,702,946,155,
288,675,688,035,477,362,803,192,231,940,458,168,214,627,921,886,946,144,285,
000,145,595,210,513,064,961,641,389,752,618,627,556,707,700,385,925,764,855,
473,362,912,383,260,403,292,960,820,103,598,427,964,614,734,172,010,160,602,
812,674,559,812,112,655,367,503,870,137,404,640,063,554,597,499,795,066,958,
445,626,111,746,914,524,815,643,775,716,307,416,949,464,781,339,453,314,122,
200,545,208,074,836,115,674,213,588,591,960,349,691,123,245,846,243,973,121,
484,136,243,992,545,624,399,837,275,389,892,780,914,276,151,460,282,942,568,
945,878,754,396,910,920,278,631,593,237,681,937,588,467,581,624,922,796,965,
220,912,266,968,181,315,857,020,682,078,343,530,720,540,465,406,777,029,961,
207,212,984,189,350,978,884,297,585,390,419,128,720,905,708,270,003,428,449,
653,734,783,407,808,818,263,779,036,650,054,453,740,097,077,023,501,506,263,
269,160,525,627,678,024,549,163,102,924,088,504,289,002,682,846,983,651,212,
841,076,981,113,639,545,852,813,121,116,890,309,733,762,875,921,972,515,786,
514,328,089,157,572,121,087,481,803,158,014,255,782,395,948,446,000,502,474,
147,215,759,978,297,983,580,688,115,464,770,618,187,145,266,605,709,819,433,
760,600,527,916,361,029,992,039,048,641,790,134,735,044,237,970,057,150,466,
180,500,544,612,107,036,008,091,988,390,146,771,674,921,298,453,957,387,440,
259,935,746,977,872,371,097,283,566,884,338,923,838,288,446,462,197,396,906,
698,152,318,594,972,942,946,727,077,400,818,748,695,678,399,855,514,219,875,
671,236,127,785,526,987,208,442,891,836,401,138,817,205,590,885,852,619,912,
879,735,404,204,692,902,380,901,412,314,595,499,652,429,087,832,327,735,849,
676,187,431,665,036,773,513,623,375,634,055,930,642,226,353,530,107,822,125,
685,441,329,713,498,876,877,767,830,611,159,915,141,862,256,130,365,869,901,
319,475,321,412,018,940,564,599,495,191,934,981,282,486,240,079,908,851,015,
297,398,396,890,132,957,608,524,655,090,689,691,717,469,440,307,529,240,444,
972,544,106,677,745,812,227,025,169,852,882,748,444,245,614,600,350,852,090,
980,285,410,451,095,211,998,453,497,430,898,936,444,591,584,485,283,404,124,
917,708,616,223,777,877,605,024,993,969,212,327,953,828,761,823,930,432,514,
964,681,248,960,873,324,880,047,682,862,660,260,673,464,608,831,218,717,294,
508,086,906,688,551,119,445,524,784,005,923,107,266,869,812,712,847,001,249,
662,831,585,716,522,068,930,889,213,668,886,348,680,723,462,186,083,457,238,
456,243,007,102,551,143,911,944,120,426,860,751,387,181,533,054,642,723,132,
856,656,764,763,954,198,477,953,002,055,804,587,983,518,525,838,275,978,943,
574,774,870,987,640,740,545,122,453,795,999,907,289,813,159,185,619,811,883,
522,253,550,439,477,947,477,229,123,699,080,694,534,190,024,810,814,996,973,
712,277,368,306,672,279,816,211,990,178,092,683,145,195,851,433,259,283,779,
825,123,822,542,379,597,189,944,700,953,546,603,669,256,489,690,934,162,432,
415,122,065,064,991,395,279,194,684,288,898,414,831,454,341,327,145,892,043,
054,787,575,298,723,751,953,655,405,608,424,233,351,641,413,710,388,283,891,
825,949,392,616,301,446,671,513,365,251,160,670,287,816,056,754,046,575,090,
144,850,239,355,777,966,274,113,702,110,937,301,978,558,217,329,694,481,877,
620,710,063,576,387,579,177,390,081,884,651,067,622,541,679,894,569,649,267,
467,616,629,345,479,870,667,689,475,708,430,930,872,136,756,177,868,941,042,
890,367,133,537,984,156,171,070,649,575,031,773,621,147,204,814,717,421,029,
604,086,382,923,049,364,425,928,927,808,228,664,861,573,376,056,084,706,188,
543,001,358,025,886,613,553,497,424,579,275,953,995,976,171,146,718,738,413,
598,974,181,550,347,293,734,722,323,582,844,131,734,196,593,220,391,587,560,
986,964,220,253,074,489,577,122,934,081,241,469,658,283,329,299,200,392,100,
065,999,027,203,860,745,401,190,531,368,204,761,613,148,007,038,474,709,449,
974,785,288,461,845,854,584,874,347,884,992,788,818,326,364,834,679,361,241,
537,973,737,082,871,678,060,994,788,338,144,923,626,584,571,902,478,543,671,
207,404,583,901,461,960,217,662,353,701,234,292,842,135,991,264,379,859,540,
832,662,050,063,477,827,393,342,990,883,660,321,210,434,001,998,515,384,094,
461,780,060,484,262,799,495,682,528,905,230,248,491,430,026,156,188,993,173,
168,693,007,439,999,903,115,965,653,476,066,205,488,533,842,769,784,192,102,
220,845,874,032,963,635,811,386,755,313,019,588,214,854,336,421,976,993,271,
402,442,533,496,150,545,507,280,899,593,120,274,646,716,566,363,369,017,050,
633,779,368,901,181,785,432,254,876,645,523,797,553,583,375,152,842,961,606,
356,394,245,850,494,074,716,323,729,061,729,712,536,297,615,590,399,561,311,
334,299,852,654,988,919,704,544,858,279,730,273,358,638,873,509,524,208,080,
727,216,201,276,096,608,456,325,330,460,722,730,561,695,762,908,372,011,311,
005,480,999,750,879,928,012,975,547,393,339,406,056,312,339,985,639,849,400,
814,384,700,271,899,595,617,184,183,907,280,942,911,712,839,777,876,542,582,
700,852,304,698,186,444,779,516,476,767,552,089,148,121,016,788,153,871,599,
421,021,399,057,048,863,553,323,305,201,758,188,125,566,264,925,204,194,043,
060,041,460,905,767,772,683,411,077,247,698,900,739,369,426,446,376,169,135,
460,340,266,998,961,967,658,129,153,949,823,604,210,916,282,554,305,363,755,
389,950,283,996,637,593,045,785,432,102,816,977,982,148,503,072,578,491,539,
462,572,901,022,053,118,304,812,365,820,434,018,997,323,702,637,445,545,355,
335,613,628,021,508,610,784,904,071,617,251,643,351,957,374,803,590,435,020,
049,198,757,876,705,417,213,217,453,505,918,101,694,241,472,591,903,522,746,
486,858,340,734,138,107,318,155,172,781,450,565,272,817,939,691,602,022,462,
127,835,902,384,630,986,751,658,722,445,014,282,223,575,813,737,822,941,032,
746,575,323,284,308,222,286,051,728,044,753,174,668,819,668,013,392,685,040,
320,577,539,382,214,609,276,322,608,186,289,807,366,747,078,306,153,891,741,
776,535,520,113,956,629,779,829,757,587,958,808,223,976,778,751,095,635,527,
462,899,108,698,787,740,571,625,448,247,007,700,565,853,270,798,057,213,284,
490,994,364,518,205,182,181,933,931,572,622,141,988,782,749,614,055,770,123,
440,290,219,935,191,357,466,816,709,651,005,932,783,755,103,369,835,280,446,
436,549,127,612,586,392,608,839,286,623,304,392,736,688,758,059,769,688,378,
450,977,595,351,385,129,747,750,584,321,767,444,820,054,198,320,030,664,946,
810,990,366,870,851,629,491,699,790,466,086,855,963,421,838,456,607,823,790,
946,585,480,262,449,478,956,257,548,174,117,293,732,776,961,317,595,686,097,
729,168,511,907,988,957,710,461,773,017,648,693,426,555,544,178,465,606,623,
635,392,102,591,329,983,704,074,687,179,692,332,267,402,544,376,723,982,475,
440,333,722,890,032,182,502,216,311,645,127,839,155,860,907,673,329,510,658,
145,153,063,322,607,748,093,998,540,395,463,046,630,031,587,558,048,248,726,
852,406,016,792,500,736,137,652,810,452,692,221,057,749,443,963,845,889,298,
307,894,501,567,160,344,058,677,438,180,732,042,444,238,539,604,928,262,678,
716,793,472,242,740,597,683,153,386,767,302,303,526,087,801,918,604,369,380,
873,727,911,206,728,914,735,248,305,110,809,738,603,926,731,722,521,618,699,
809,718,180,798,215,330,460,784,785,629,430,415,038,540,796,871,969,581,667,
552,012,950,480,931,111,545,973,281,266,231,512,536,856,346,458,902,106,191,
864,613,014,816,574,753,129,479,622,328,635,419,067,064,783,049,154,682,540,
339,235,709,303,057,281,917,240,719,590,908,297,124,368,806,664,639,425,807,
353,290,541,963,356,955,619,269,448,555,614,922,016,766,889,693,395,348,000,
169,934,150,718,605,910,652,754,827,481,752,649,309,636,054,640,099,822,915,
207,288,165,108,744,378,124,024,641,165,894,870,269,523,794,110,268,572,100,
565,718,915,169,359,330,936,755,306,239,400,917,662,057,096,151,082,788,052,
026,301,983,991,106,088,298,083,468,492,125,263,789,870,639,334,006,955,432,
204,463,911,924,420,370,541,792,275,296,204,781,432,375,909,281,930,255,959,
035,086,090,592,256,908,244,810,203,839,231,047,596,261,082,221,527,074,573,
785,356,930,198,932,042,400,941,483,254,435,528,380,388,202,724,435,395,612,
481,679,451,558,570,972,153,057,700,406,218,891,106,481,404,681,996,411,249,
114,012,397,041,776,910,290,584,409,206,177,183,689,121,928,185,724,855,069,
128,598,195,819,010,049,103,488,688,586,925,310,040,535,995,703,430,906,616,
974,217,848,124,873,156,051,332,286,894,094,254,657,260,872,344,553,230,223,
815,618,342,076,998,883,246,968,993,134,468,926,849,106,440,460,011,481,767,
529,888,898,247,898,778,187,425,838,527,986,515,477,936,474,861,885,335,834,
012,223,581,520,738,087,804,566,598,265,610,606,116,595,909,647,153,833,655,
950,574,395,470,666,346,031,151,254,839,886,710,627,550,974,382,468,018,402,
426,788,545,236,353,567,696,488,287,175,954,483,021,584,829,946,988,694,447,
166,444,513,771,417,369,939,479,995,057,236,433,825,352,360,975,838,395,960,
479,869,337,369,465,168,816,126,554,493,030,671,670,126,371,089,555,354,551,
674,613,698,599,851,887,043,742,031,792,087,623,669,041,488,533,429,957,961,
578,462,583,348,662,680,903,846,259,902,674,647,931,336,956,095,184,712,024,
128,382,413,161,476,666,799,434,392,277,243,102,439,025,180,253,012,237,769,
941,161,658,044,337,555,236,817,954,803,276,209,540,988,795,994,675,102,634,
308,678,577,194,739,747,177,270,183,720,195,935,450,191,444,301,073,541,560,
442,340,257,007,857,474,034,157,204,545,551,794,616,575,310,524,358,340,255,
689,995,482,724,958,860,436,676,889,785,553,119,856,614,774,129,716,777,755,
865,518,857,609,747,500,791,795,386,872,094,484,116,252,079,063,440,367,034,
728,905,484,376,422,621,316,325,224,088,589,817,938,540,901,869,189,658,801,
439,140,517,817,084,990,943,820,078,067,312,184,860,401,690,538,373,076,022,
498,647,156,708,762,802,494,558,631,233,011,404,737,729,531,964,825,604,666,
395,197,700,044,327,498,367,463,317,352,536,772,087,112,792,010,063,095,840,
594,164,524,001,596,534,355,837,315,000,192,033,376,007,153,730,822,597,491,
952,290,582,681,400,921,884,175,896,393,381,531,426,565,776,738,894,516,574,
158,108,691,708,419,119,749,334,848,036,196,477,949,190,662,263,664,320,815,
111,823,431,622,237,149,865,241,709,694,914,415,535,277,212,353,447,363,328,
958,702,754,608,309,691,176,700,460,307,508,122,742,605,598,183,080,893,098,
437,713,744,536,046,512,456,920,707,845,994,931,427,716,649,441,527,764,761,
913,715,538,966,086,192,342,758,191,648,393,640,684,529,098,398,601,125,816,
841,625,974,587,057,104,710,563,946,851,567,941,807,054,803,028,187,990,274,
696,439,184,818,466,156,672,505,351,429,924,708,131,859,680,749,810,050,549,
611,807,672,079,102,053,979,048,155,124,490,746,715,658,402,954,933,872,688,
054,839,507,663,166,924,147,408,705,011,542,911,682,518,893,855,089,683,848,
151,201,957,589,976,142,350,604,971,043,643,573,113,078,982,254,474,916,036,
625,498,336,572,673,855,393,534,682,140,710,097,252,895,143,863,953,528,340,
277,124,395,685,697,545,129,595,782,782,153,946,724,986,711,121,122,728,874,
391,134,965,454,819,060,704,046,430,324,337,802,158,785,156,747,859,064,851,
334,997,785,199,416,319,253,286,141,822,983,623,237,690,447,650,985,586,999,
794,561,698,698,317,257,251,150,689,209,043,439,868,681,844,244,396,438,283,
882,059,121,992,512,550,697,645,811,426,431,463,766,088,248,446,551,096,645,
556,760,827,927,111,797,809,292,976,059,541,918,005,005,324,282,142,116,891,
093,055,592,573,264,702,737,383,618,909,316,034,321,391,335,098,887,027,426,
008,670,374,331,599,638,522,768,305,694,118,309,591,343,312,228,581,817,638,
350,091,935,101,918,111,564,245,044,481,284,644,733,265,625,498,365,146,682,
933,646,918,912,615,203,735,139,920,987,926,004,907,585,192,136,002,921,414,
552,238,775,423,742,972,046,827,742,323,859,233,046,468,351,537,388,691,839,
075,219,621,403,225,210,872,764,917,969,613,065,231,636,195,902,576,151,033,
127,335,375,036,462,315,797,325,988,284,357,666,278,670,110,142,578,888,018,
277,304,979,711,144,011,315,134,038,724,715,243,654,809,285,354,436,242,703,
657,772,571,965,492,615,155,599,539,637,881,539,265,322,845,350,769,564,140,
154,749,912,315,362,492,029,873,853,809,970,536,752,002,997,430,436,296,976,
864,626,907,245,590,022,277,999,724,647,987,317,028,948,655,903,968,377,909,
215,371,300,731,880,531,729,591,261,273,948,560,429,060,465,011,565,337,072,
401,583,152,424,361,562,696,115,088,708,348,021,189,175,744,548,961,618,982,
937,179,289,387,914,736,736,405,149,041,375,610,569,462,401,491,271,134,844,
184,921,412,394,365,995,416,703,901,166,927,333,135,734,301,833,002,555,074,
419,234,889,981,201,547,701,234,048,733,911,435,437,658,815,628,877,910,817,
344,996,268,434,053,532,000,739,053,123,178,339,946,878,270,175,048,673,207,
181,950,614,477,831,705,104,462,527,947,188,445,362,572,855,660,558,554,192,
345,800,414,937,324,238,782,972,803,302,657,989,177,171,113,099,406,780,029,
862,207,741,572,997,869,407,362,166,023,097,471,379,303,255,218,187,937,221,
193,894,901,715,461,692,813,823,463,838,423,005,218,140,105,369,884,975,585,
501,303,032,933,963,525,411,602,152,391,416,408,028,659,550,170,568,565,080,
372,618,865,525,117,369,257,532,105,097,313,374,398,216,457,947,597,027,145,
718,704,235,927,287,493,890,462,615,543,282,117,977,066,538,604,006,442,117,
103,243,212,319,463,856,537,050,326,346,089,403,962,823,902,990,882,276,791,
120,697,543,864,727,474,095,013,760,542,934,858,110,560,532,266,072,545,808,
667,073,108,598,309,137,389,044,211,463,378,610,670,557,037,101,609,285,334,
001,406,019,472,470,303,490,574,798,164,700,049,107,121,491,437,159,346,578,
107,643,755,402,704,202,144,756,187,366,323,794,883,298,105,252,937,206,325,
142,393,117,746,944,510,998,212,621,562,663,966,497,726,412,199,791,811,159,
668,267,707,496,376,190,970,474,681,749,400,304,118,674,130,240,730,807,639,
589,187,787,295,006,979,151,213,574,900,672,275,962,687,422,975,353,512,254,
777,614,763,719,970,248,721,414,358,411,836,224,513,988,096,641,133,050,720,
799,262,819,101,517,117,771,079,950,956,954,518,691,074,361,857,259,007,745,
610,940,278,739,448,882,417,515,296,111,956,275,384,246,145,483,524,998,712,
402,692,076,145,494,581,896,445,628,886,834,467,381,836,177,925,415,096,776,
046,430,465,259,501,828,874,928,033,731,525,933,035,568,272,680,364,135,538,
640,226,632,719,381,880,475,509,256,253,909,835,161,270,504,356,471,006,105,
764,312,077,603,898,244,568,225,566,973,920,144,667,646,348,426,980,645,729,
715,866,646,901,371,153,527,749,602,002,637,218,089,217,032,739,936,508,687,
185,406,889,388,471,821,904,651,405,396,797,730,495,701,495,293,018,974,429,
904,496,159,980,855,968,466,653,303,884,185,644,971,550,808,356,590,757,623,
450,409,997,365,131,255,660,808,213,327,786,926,485,317,874,330,834,635,034,
272,131,306,980,819,430,902,623,536,742,800,179,047,024,334,984,815,065,866,
482,589,623,401,413,680,838,600,687,322,962,875,988,519,297,706,651,447,432,
894,005,926,669,919,462,654,559,377,249,446,191,991,312,149,970,825,410,150,
707,350,053,624,652,810,528,073,997,198,648,250,494,473,206,664,520,811,246,
359,266,939,190,693,153,916,826,182,760,545,654,934,921,016,313,921,734,453,
636,373,803,742,742,623,566,975,382,508,930,867,126,476,100,449,030,159,861,
174,322,053,614,857,077,451,048,753,842,433,913,885,812,472,874,603,052,167,
306,305,086,746,140,786,604,181,049,626,367,977,484,971,849,800,066,940,257,
049,884,282,919,055,045,622,591,781,500,012,988,688,499,570,388,254,954,903,
631,832,803,738,375,715,306,940,068,878,526,720,766,920,793,792,158,444,806,
155,630,457,465,850,783,052,789,124,388,605,625,955,318,973,802,586,566,896,
898,777,281,518,016,238,139,212,558,296,059,690,383,309,692,310,583,208,682,
826,052,252,283,321,632,002,683,225,591,592,070,399,212,056,928,872,883,689,
035,837,889,872,809,208,175,458,422,968,292,206,634,164,775,734,274,485,363,
391,114,030,706,950,854,262,884,499,813,517,780,653,993,290,734,523,860,537,
623,476,919,599,410,216,514,916,944,251,367,332,772,506,659,522,417,087,498,
263,148,994,259,345,611,284,340,642,565,836,919,485,891,202,727,158,874,240,
085,806,946,189,067,494,411,675,554,429,767,815,987,878,351,261,600,590,783,
996,201,634,483,688,168,723,242,479,551,600,436,715,091,386,434,113,793,464,
856,603,706,289,261,854,144,417,074,369,999,306,720,985,064,420,861,687,529,
500,135,532,296,627,654,431,047,258,554,371,993,570,040,968,480,772,536,905,
213,442,985,822,128,730,861,363,439,443,460,143,517,721,801,798,572,799,136,
741,890,901,410,459,632,744,487,438,883,371,475,579,126,538,208,242,248,145,
921,196,836,865,590,872,486,397,096,877,677,139,497,442,073,754,295,489,738,
510,436,914,039,036,867,387,984,179,189,189,336,734,841,876,167,594,568,552,
537,309,064,374,400,331,635,211,501,577,113,078,415,156,250,835,549,175,422,
295,297,923,541,331,478,453,332,999,148,286,973,184,371,847,391,346,520,718,
979,512,375,037,888,378,980,623,471,632,752,330,019,028,319,306,415,415,757,
128,495,969,950,215,226,428,496,048,174,279,244,238,021,093,270,659,842,337,
695,387,712,916,283,156,271,437,382,195,692,375,953,611,237,255,718,623,674,
639,856,427,414,905,155,226,557,418,521,853,584,450,979,312,065,116,504,989,
049,529,406,352,994,325,119,258,101,199,729,011,404,279,063,491,759,561,259,
484,175,353,775,810,993,375,911,123,013,327,550,238,843,545,674,945,188,406,
059,935,185,232,640,051,340,408,867,203,513,130,925,880,048,188,792,279,459,
360,805,978,704,651,508,853,215,160,624,681,381,189,880,877,093,630,727,566,
310,984,647,793,323,657,311,988,946,814,261,189,235,650,670,087,468,328,006,
309,911,539,125,876,047,692,648,415,669,573,181,973,746,371,067,894,475,410,
544,679,719,906,515,856,541,405,762,657,269,438,127,779,642,824,559,595,723,
365,017,194,891,052,880,327,731,654,108,721,907,263,033,494,452,973,688,021,
443,584,972,502,731,128,849,323,064,337,110,712,098,171,939,443,027,591,074,
440,943,027,973,056,343,742,017,982,096,593,248,653,682,176,705,906,707,975,
387,725,667,612,533,059,708,132,989,801,698,362,572,706,531,785,229,252,234,
004,444,503,034,270,148,643,967,990,615,164,216,562,333,771,789,187,139,400,
269,528,042,133,331,148,917,888,613,319,137,801,040,446,328,581,439,398,985,
045,550,021,286,228,557,383,823,254,540,867,125,808,952,102,336,746,770,036,
284,494,454,100,735,816,472,483,810,575,835,716,001,525,185,895,430,280,587,
206,591,092,441,172,263,268,168,234,524,980,927,181,995,504,060,509,189,749,
458,298,893,186,777,921,397,733,906,529,791,463,968,023,104,511,019,426,306,
828,128,188,411,336,959,638,929,262,554,743,988,897,584,075,863,383,771,691,
074,732,726,754,007,947,098,815,854,123,199,302,121,077,918,102,054,661,796,
419,439,375,224,282,203,961,155,458,519,506,643,625,843,046,126,690,140,332,
816,051,460,818,862,334,505,643,762,586,636,127,641,981,222,553,192,529,465,
989,487,112,243,258,563,882,430,309,854,919,178,495,348,972,558,728,229,268,
162,890,777,017,496,580,498,539,433,776,377,084,629,805,919,262,684,183,958,
817,503,549,955,913,235,630,475,652,639,894,786,070,041,202,774,727,329,998,
830,347,129,440,814,807,853,970,018,894,948,711,552,872,516,574,902,626,302,
740,936,143,592,769,856,481,264,326,026,503,160,624,343,511,754,611,692,583,
448,694,734,425,608,146,697,112,485,355,307,455,312,709,105,539,044,481,923,
885,287,627,747,641,745,462,487,414,916,455,049,389,122,277,182,458,240,762,
525,239,667,435,544,345,928,345,639,793,146,385,533,582,513,001,399,542,259,
461,351,966,543,333,851,493,782,749,387,545,749,077,244,024,469,421,717,138,
599,503,935,215,302,569,370,481,645,675,162,861,967,068,979,947,565,607,696,
437,645,204,342,807,514,127,323,362,199,891,048,290,832,842,548,789,823,880,
739,660,178,428,808,210,336,892,428,897,800,417,116,476,744,806,435,210,755,
109,636,641,805,056,876,643,192,514,279,882,248,565,158,667,089,627,560,104,
394,066,981,445,540,071,645,622,690,547,038,545,339,919,747,957,493,766,692,
190,383,685,274,814,686,858,713,984,456,944,131,002,140,432,733,289,518,411,
685,434,294,114,791,414,392,392,763,842,990,919,478,338,870,763,987,769,479,
776,098,353,611,862,189,750,272,855,987,185,836,897,406,065,189,851,179,336,
218,914,101,849,340,718,485,867,034,560,025,885,447,257,983,375,540,432,367,
966,044,540,732,947,982,815,277,429,854,699,385,339,884,654,883,655,067,194,
575,672,864,570,850,659,531,992,154,277,375,131,927,486,568,000,836,972,963,
084,924,470,797,321,291,064,274,878,947,304,052,188,532,134,108,119,729,270,
473,830,830,121,774,084,462,038,679,788,027,374,385,970,681,883,336,538,154,
695,579,523,989,531,233,694,526,243,531,555,357,251,267,934,663,074,583,948,
020,997,344,133,370,227,707,755,282,665,479,554,721,262,413,818,652,158,095,
979,456,554,610,793,620,816,289,838,992,149,712,471,287,768,225,715,842,472,
749,770,141,660,103,214,980,632,934,291,786,688,604,755,217,508,702,588,562,
231,483,381,764,525,543,234,502,554,055,076,212,569,466,018,750,200,297,168,
376,120,222,179,715,489,685,934,714,959,084,849,149,660,709,337,202,306,959,
747,332,080,083,561,100,490,038,676,206,638,571,350,464,215,174,565,557,369,
697,335,880,723,556,527,734,478,593,612,974,251,858,248,061,009,609,018,637,
936,451,830,859,404,294,028,031,131,961,123,567,854,384,554,623,392,453,435,
747,355,487,665,582,948,244,607,201,722,519,413,058,628,356,255,241,637,940,
149,606,847,163,310,152,936,350,917,476,436,517,888,692,176,388,048,919,072,
126,322,536,083,872,527,852,886,574,463,093,952,817,578,516,537,458,799,160,
187,785,784,627,503,490,884,175,134,811,707,786,484,831,371,656,366,703,029,
430,424,521,944,491,685,175,247,372,303,605,015,807,898,073,183,132,759,409,
039,806,803,407,021,616,608,325,211,029,175,431,416,820,036,326,564,197,811,
771,078,127,527,704,960,036,841,764,579,909,986,763,547,481,330,754,683,953,
163,541,684,781,557,882,471,421,746,346,653,684,865,442,885,828,352,850,503,
197,035,322,721,409,173,205,592,680,393,420,505,839,080,741,573,577,981,461,
981,578,373,658,311,929,672,367,060,387,834,050,266,020,390,077,113,176,249,
031,571,106,499,059,073,745,348,078,392,943,662,493,457,063,040,744,029,945,
093,792,455,644,166,068,298,180,265,625,097,038,239,938,943,486,768,516,203,
930,660,124,462,917,737,791,282,100,542,540,836,883,403,260,254,314,228,986,
816,705,021,637,704,851,735,336,898,087,475,923,111,085,025,935,153,603,243,
095,033,964,484,648,761,834,634,407,490,706,866,047,245,381,572,526,426,440,
593,052,024,170,582,190,589,770,317,565,774,100,996,274,203,740,815,973,868,
178,754,460,780,358,548,922,757,849,933,530,768,599,255,649,925,160,658,063,
547,500,584,790,166,292,001,326,349,770,639,982,926,629,320,830,237,659,692,
052,731,246,666,329,601,234,046,023,936,936,462,351,442,474,648,243,691,770,
818,530,790,577,881,109,593,874,542,418,478,752,670,093,653,282,496,513,273,
874,596,925,595,336,137,392,787,042,708,558,211,601,279,680,037,409,688,791,
980,649,449,178,316,584,670,253,130,645,970,838,469,954,789,556,024,260,533,
651,918,209,963,200,998,101,067,689,224,100,906,187,015,764,910,878,073,747,
191,264,431,124,362,305,354,938,194,326,196,302,670,742,006,061,382,645,882,
740,781,852,785,257,579,683,733,891,896,880,582,474,872,462,899,344,536,279,
564,671,174,519,967,354,450,777,173,554,736,761,437,968,824,705,842,605,446,
169,612,549,257,514,905,683,061,604,963,035,750,588,611,786,997,727,095,550,
889,347,761,123,859,606,120,442,028,399,004,379,468,602,092,504,783,713,664,
709,766,220,580,690,101,040,773,576,564,962,163,780,143,634,692,529,243,528,
162,293,645,512,012,573,450,142,818,719,520,629,690,614,357,478,610,342,596,
552,118,204,519,720,433,695,783,675,642,281,873,446,409,052,668,920,898,591,
850,385,703,310,127,817,477,425,559,656,453,105,899,302,519,849,879,911,082,
376,567,464,222,660,535,590,276,168,354,984,077,709,096,715,600,255,853,648,
056,071,196,878,120,138,690,038,822,232,596,987,504,332,690,849,596,852,956,
902,956,029,942,960,753,308,593,807,020,094,117,945,650,572,779,205,016,252,
239,333,922,907,921,322,873,358,686,253,984,460,688,956,076,487,700,751,594,
627,234,919,121,980,091,282,676,620,519,763,127,564,169,478,810,961,308,324,
507,642,211,880,287,269,689,815,100,827,104,459,906,240,891,580,417,053,498,
336,385,424,998,183,518,977,489,312,049,580,885,877,831,019,907,859,339,775,
049,036,437,962,458,417,740,933,968,323,154,480,999,900,805,602,905,940,574,
248,383,797,953,494,514,321,021,199,664,172,808,573,166,213,101,323,807,182,
668,278,361,027,837,155,982,581,118,741,029,457,718,493,964,723,512,231,428,
657,600,360,201,745,259,374,205,754,678,681,867,045,848,220,523,604,992,322,
674,994,808,529,075,927,529,900,163,458,024,089,260,296,277,167,045,968,467,
819,514,884,851,984,167,518,985,663,097,408,467,587,400,420,816,512,474,245,
091,628,115,927,521,909,897,353,710,602,822,409,788,886,703,072,051,652,970,
927,635,976,580,050,917,277,019,981,350,683,349,182,950,403,310,080,165,872,
515,997,926,617,456,397,998,137,841,830,430,852,895,693,132,009,792,750,153,
187,192,192,378,965,690,057,867,371,530,832,837,581,579,881,741,647,782,330,
137,588,939,469,182,658,423,461,752,832,704,888,221,425,622,042,058,831,947,
416,900,909,141,545,821,472,903,123,135,138,002,505,351,363,303,871,702,777,
253,770,232,935,958,504,147,613,211,285,766,812,531,873,771,661,634,272,675,
956,192,459,434,219,257,937,125,147,059,744,900,845,747,856,439,560,697,926,
458,520,001,864,319,542,478,690,596,257,096,276,198,805,999,918,586,396,919,
972,394,502,788,043,426,082,099,573,931,710,718,700,172,920,358,335,928,795,
356,450,444,110,780,087,753,112,662,175,349,283,733,531,990,484,106,799,289,
028,772,338,420,293,138,576,231,112,617,731,725,343,268,854,087,146,530,789,
523,617,772,611,821,509,347,578,343,080,027,530,758,525,796,406,454,144,683,
834,795,307,412,874,928,459,572,129,775,701,539,764,363,262,061,647,131,354,
102,380,004,563,216,525,856,830,486,940,010,292,528,896,558,176,013,228,849,
194,951,042,785,244,725,409,791,968,021,597,538,503,380,043,138,971,417,148,
091,292,576,627,838,472,254,897,628,717,605,087,981,220,418,324,454,002,824,
448,321,658,845,924,499,595,866,961,296,788,420,016,451,586,035,479,520,184,
245,952,411,957,910,780,734,493,866,621,482,498,810,791,083,458,172,349,173,
230,284,855,779,019,926,561,831,859,895,664,811,398,549,592,848,355,524,237,
333,785,624,043,102,380,342,021,465,875,630,417,913,599,826,996,130,687,262,
733,853,349,570,300,913,293,994,886,438,875,354,864,878,667,821,568,332,570,
616,479,508,154,546,341,953,752,915,474,477,871,498,440,005,058,871,994,611,
269,285,718,218,180,468,950,765,155,851,390,761,883,878,746,134,924,729,393,
539,042,354,243,565,086,301,253,390,835,932,975,068,197,168,996,570,475,506,
769,410,350,789,512,055,268,676,706,244,099,091,450,059,954,388,920,092,768,
382,766,005,967,133,910,739,990,287,847,698,878,092,544,501,348,807,169,842,
580,634,710,115,535,607,073,412,551,364,299,713,588,861,377,875,501,240,960,
638,517,042,598,460,998,056,814,618,150,484,392,169,881,348,285,079,637,559,
080,961,253,400,263,227,211,940,756,714,757,052,191,194,153,685,728,526,554,
049,678,925,980,757,822,743,407,915,216,294,320,448,540,998,613,358,926,467,
163,802,930,924,861,348,760,106,500,802,583,085,685,259,396,707,010,885,250,
938,980,319,835,838,723,121,018,857,172,520,323,492,444,955,472,090,947,654,
106,645,262,159,788,313,097,143,217,415,839,772,617,270,103,598,310,526,131,
787,508,667,647,997,029,919,181,378,837,493,803,794,155,618,374,153,941,067,
054,570,566,586,937,010,229,376,548,398,605,285,752,733,936,240,992,669,556,
589,783,424,355,847,656,618,666,111,479,373,548,006,678,791,806,526,411,297,
633,742,898,028,569,228,433,708,351,542,690,912,277,827,577,665,796,357,361,
250,824,036,251,605,111,190,999,139,082,402,260,469,160,647,913,853,337,938,
718,660,931,343,055,198,634,024,762,582,084,070,524,639,064,783,216,102,018,
169,146,145,934,464,849,814,993,162,044,427,873,602,263,076,033,672,539,029,
066,726,387,754,051,010,795,539,305,438,369,754,093,802,004,068,491,758,335,
752,507,527,628,195,840,093,495,154,785,362,030,783,808,819,097,058,907,026,
116,975,180,690,497,493,535,347,581,369,276,616,764,431,242,798,884,363,700,
022,171,791,882,039,129,514,737,290,665,658,829,581,549,922,081,685,779,854,
663,405,617,613,479,583,369,661,464,802,352,650,077,183,344,609,413,049,608,
480,261,090,278,145,460,487,830,469,284,009,210,755,167,538,732,523,301,642,
376,585,164,009,391,854,630,947,938,604,601,251,628,156,501,525,068,295,854,
859,128,398,809,389,042,789,621,671,769,938,740,539,389,429,581,995,476,656,
220,400,368,482,869,878,248,805,222,594,403,809,943,376,502,119,404,392,489,
939,711,581,152,483,586,937,667,517,246,978,530,742,761,372,388,563,293,648,
482,286,760,957,673,173,544,404,711,515,637,184,985,973,913,147,913,783,299,
133,308,536,894,929,922,930,049,546,608,443,792,657,648,555,180,072,652,236,
483,220,393,192,271,470,789,189,287,551,996,483,840,935,799,841,383,254,520,
451,622,871,224,092,038,879,810,173,921,916,431,849,436,023,004,195,416,194,
978,292,600,351,586,962,653,084,755,190,518,473,037,740,249,162,845,701,214,
434,548,771,649,776,561,431,493,825,375,935,154,862,390,221,709,520,300,441,
364,785,443,131,123,190,466,736,814,862,183,528,990,955,051,663,420,601,895,
402,672,675,245,463,498,737,878,069,539,332,707,991,292,571,461,749,970,800,
211,487,875,255,634,123,851,793,445,311,342,408,146,388,887,951,292,928,917,
919,944,209,596,900,437,649,779,138,719,315,121,162,744,651,798,376,190,225,
775,757,030,630,708,762,830,703,387,835,973,575,229,385,289,174,584,429,696,
233,962,143,719,286,812,095,835,192,203,983,746,693,867,982,603,233,028,521,
513,460,215,637,983,458,392,779,403,333,837,341,597,954,737,953,729,365,201,
693,491,259,887,727,590,651,600,966,858,780,194,997,536,436,747,520,917,992,
227,813,975,753,051,970,342,479,493,109,334,937,506,346,345,664,010,593,899,
156,996,954,291,540,629,258,673,287,458,013,912,332,796,472,089,494,796,672,
268,817,028,154,820,347,436,544,687,950,167,776,539,445,583,151,608,824,578,
011,159,371,259,654,589,038,456,840,641,962,794,961,106,979,758,923,835,970,
254,521,588,272,492,475,004,274,714,946,917,500,933,182,666,131,312,370,578,
611,133,622,664,920,004,285,171,471,382,017,682,137,680,421,053,308,781,182,
201,862,678,314,073,276,153,464,491,637,128,316,388,707,243,680,048,412,854,
989,220,458,386,637,648,190,642,378,438,249,194,770,927,727,105,091,538,206,
308,990,425,652,709,164,294,970,381,170,837,883,088,476,243,929,370,998,510,
247,855,325,406,844,049,999,556,384,431,388,256,359,516,366,028,277,168,425,
877,296,976,971,468,679,444,029,248,850,816,706,593,898,766,291,485,256,770,
528,737,662,830,057,900,771,282,598,464,110,289,686,908,062,069,495,443,109,
348,753,349,065,205,537,984,636,964,140,523,198,822,279,778,143,903,679,891,
213,326,637,185,981,977,155,370,775,747,183,374,697,019,999,645,934,827,453,
302,404,362,725,598,858,043,215,223,170,664,431,485,024,523,041,408,906,572,
439,845,122,698,836,018,218,453,712,088,661,112,220,800,306,979,583,498,184,
473,588,424,253,510,633,554,846,740,634,084,359,086,766,859,094,253,575,927,
313,909,035,316,318,606,695,070,600,095,283,850,946,205,944,678,485,951,233,
399,215,886,427,562,573,193,945,804,297,090,539,379,778,135,495,090,530,548,
786,305,622,054,372,366,297,321,335,882,976,483,729,254,169,824,746,934,126,
368,237,829,404,973,542,509,782,138,061,430,398,688,606,196,893,826,369,232,
790,843,034,279,432,925,904,342,728,800,823,295,666,030,540,368,978,845,876,
001,857,726,881,823,475,617,202,006,247,419,605,635,748,763,087,747,703,215,
003,227,065,416,367,392,952,442,484,077,628,053,943,284,831,668,306,809,554,
905,881,737,488,073,736,940,476,336,724,462,470,909,487,734,372,427,205,597,
409,401,318,336,512,358,242,503,577,425,340,731,597,137,114,865,476,384,857,
009,836,832,804,108,593,029,558,006,681,934,634,744,110,341,286,651,745,159,
859,521,262,396,947,477,270,249,790,951,176,435,225,298,791,968,001,197,387,
157,953,086,295,187,861,660,079,293,184,103,626,987,434,331,282,890,586,957,
332,027,030,805,235,455,158,426,120,544,802,964,074,635,080,233,764,064,317,
787,592,955,938,576,485,507,039,631,602,811,541,496,489,110,194,203,864,428,
156,145,524,392,283,133,239,392,736,439,210,892,156,064,855,772,266,674,889,
794,173,287,075,345,583,083,007,049,309,482,452,247,634,067,534,946,415,038,
044,345,990,529,716,260,195,224,352,590,267,723,809,403,645,819,818,703,029,
297,274,828,715,892,890,764,733,927,549,650,084,872,640,244,784,804,416,506,
364,657,917,707,980,165,926,343,940,715,830,341,089,011,630,549,752,205,335,
079,083,740,712,954,202,055,546,150,175,795,209,022,387,091,239,970,850,646,
116,595,265,689,871,141,068,150,750,035,352,935,007,880,727,880,410,727,544,
854,224,026,003,633,010,838,903,358,072,076,158,026,611,674,407,995,278,168,
721,054,709,705,766,779,024,764,129,581,849,523,607,018,558,585,946,670,139,
470,396,691,293,619,632,210,342,815,533,369,494,636,951,861,486,482,603,132,
707,746,358,191,610,091,724,199,670,878,431,582,794,573,677,021,920,318,653,
252,981,636,584,391,619,722,401,563,950,700,409,418,374,661,911,665,177,216,
657,831,810,699,369,080,169,887,631,409,638,185,291,271,447,693,313,079,244,
092,457,480,941,467,444,895,563,797,820,029,361,024,096,896,718,778,030,068,
174,873,123,804,950,332,104,915,249,166,404,628,739,055,937,947,952,890,222,
653,914,582,874,540,720,856,725,746,355,643,853,223,305,713,656,221,504,057,
232,710,220,592,610,411,247,802,375,284,428,614,085,293,906,659,798,211,598,
621,505,874,244,242,828,590,510,082,778,749,827,022,611,631,351,054,548,854,
016,404,110,720,458,498,252,021,532,195,146,391,548,151,079,842,009,463,577,
374,136,931,427,032,417,418,892,124,298,848,874,151,528,727,286,936,728,033,
496,494,917,898,822,049,526,609,781,143,063,221,476,646,652,731,831,137,265,
087,390,889,523,102,354,968,165,474,117,424,063,113,507,649,354,315,710,406,
807,381,805,895,833,603,265,973,093,955,086,814,077,073,630,640,952,754,462,
586,671,292,066,975,706,911,967,965,715,367,383,610,690,686,873,239,902,590,
293,343,311,854,129,899,787,279,199,313,054,383,006,619,856,761,896,507,611,
469,327,482,274,452,651,323,954,053,602,113,595,143,503,707,363,446,822,435,
380,479,029,297,780,242,346,659,138,548,235,704,252,355,554,500,013,268,391,
653,012,554,227,516,837,741,928,951,964,973,177,600,209,536,568,260,324,648,
496,193,798,532,432,118,901,321,850,980,979,372,997,766,364,447,780,239,747,
313,555,850,584,891,228,977,654,606,415,134,680,751,330,466,592,463,186,509,
693,917,507,833,495,849,808,551,947,720,562,438,159,190,581,003,537,406,589,
587,269,191,743,841,049,006,560,303,376,898,732,876,954,258,574,534,560,851,
031,237,416,322,036,083,155,187,739,281,805,817,937,512,483,414,102,996,076,
033,946,924,807,558,560,702,506,746,037,390,300,724,825,320,268,407,420,258,
253,503,377,338,277,325,649,146,058,943,355,165,639,206,438,764,773,757,442,
394,727,589,140,002,874,875,079,118,125,359,215,190,606,195,445,259,923,901,
345,358,173,034,368,466,078,593,347,144,454,256,379,273,911,721,573,551,724,
060,093,451,560,657,048,171,957,567,680,636,178,699,288,854,683,793,832,855,
432,040,067,328,461,657,052,001,698,052,430,692,241,302,683,516,158,165,311,
050,590,405,755,208,819,928,439,849,562,178,097,002,480,381,936,092,815,019,
446,327,113,581,678,244,302,842,686,122,374,990,982,012,229,128,540,141,884,
239,384,010,476,423,563,254,726,502,053,319,260,921,928,360,388,682,536,484,
894,048,680,227,317,094,533,741,937,576,866,240,410,428,260,827,792,600,179,
927,560,375,281,213,613,250,074,301,915,721,981,289,992,123,221,017,101,003,
381,090,133,247,398,755,790,213,018,012,298,031,655,225,941,899,790,374,470,
942,714,619,893,577,174,097,057,274,726,498,117,885,775,538,310,531,182,909,
091,449,417,279,911,595,797,452,051,449,267,604,041,560,401,081,339,989,519,
348,394,128,498,410,325,117,851,321,121,177,773,823,424,780,586,850,232,432,
379,110,872,605,934,524,825,600,240,087,698,330,344,549,795,685,636,149,456,
701,773,105,059,656,511,320,741,355,287,799,254,778,686,863,767,969,814,303,
305,110,405,571,864,375,643,347,981,438,245,604,199,199,227,752,666,470,171,
638,179,113,718,679,467,885,554,555,524,657,294,814,235,431,121,613,234,607,
897,029,854,866,118,590,237,944,150,612,885,913,993,019,628,672,169,141,940,
349,278,704,544,516,492,942,633,587,344,899,765,003,700,228,978,510,953,064,
310,944,693,404,174,293,408,504,668,319,577,425,674,489,173,701,430,786,615,
338,397,539,053,533,597,885,721,080,885,733,576,457,556,521,909,234,569,155,
390,480,180,234,230,931,581,342,279,211,948,042,480,781,016,035,250,620,913,
972,325,603,611,180,632,885,281,084,622,237,494,785,693,505,502,088,673,713,
652,832,536,400,459,982,366,995,631,543,469,779,729,775,059,581,047,388,364,
637,179,938,242,082,566,569,562,269,075,435,556,441,440,662,306,275,569,629,
489,319,951,036,760,853,502,885,346,098,087,387,696,830,790,289,663,774,113,
687,230,735,937,594,153,310,732,208,331,342,366,916,620,383,044,222,035,844,
998,468,374,615,993,919,603,645,317,408,709,148,670,848,017,610,945,780,817,
610,401,474,224,766,248,254,288,131,156,499,354,667,748,410,854,092,160,030,
993,259,162,536,893,902,804,155,890,419,752,995,545,980,861,297,447,318,338,
894,477,877,432,599,619,621,722,516,788,847,964,390,931,958,776,397,378,851,
194,092,680,024,214,148,980,354,687,753,559,512,525,579,208,086,929,669,660,
325,108,273,990,630,445,603,828,568,473,959,599,241,112,426,324,559,567,732,
284,640,306,729,778,514,429,217,371,812,021,956,822,716,585,716,871,736,180,
602,892,102,227,906,843,458,096,425,666,636,670,198,815,427,294,779,594,601,
954,299,816,561,724,202,874,666,630,817,048,118,650,760,439,632,134,618,730,
851,002,032,001,126,414,595,371,058,639,501,571,935,824,227,642,458,485,847,
853,978,051,456,804,691,152,065,049,293,690,914,726,390,690,030,896,904,008,
001,792,044,921,561,875,676,135,052,688,469,551,265,739,079,835,051,359,614,
565,054,211,617,879,052,150,988,125,975,710,016,404,843,426,747,311,698,455,
999,666,199,874,851,328,584,679,653,758,926,278,075,686,338,467,388,875,076,
912,824,121,422,117,271,841,357,040,049,024,826,239,443,766,661,343,090,773,
082,899,947,904,819,849,558,883,168,150,395,393,678,521,062,325,575,289,112,
468,060,446,600,619,399,207,487,900,361,423,229,973,683,499,265,449,335,033,
721,569,447,999,970,036,528,174,056,769,736,377,057,000,054,809,840,457,395,
560,422,479,324,758,901,714,492,898,145,439,713,938,790,016,594,029,233,183,
747,200,890,140,803,180,189,339,224,943,038,991,150,486,277,144,551,379,306,
653,641,683,054,150,163,184,918,136,411,066,570,477,937,929,733,180,667,442,
556,282,445,258,926,201,878,038,422,918,575,025,234,599,223,453,228,199,070,
189,071,222,534,533,655,943,315,215,837,955,467,612,692,786,108,620,020,540,
347,147,326,143,282,037,112,439,692,327,311,829,581,067,329,534,393,146,342,
017,515,945,416,545,814,109,078,128,135,849,664,824,370,108,241,332,997,694,
872,552,634,791,920,138,996,307,485,130,705,219,537,807,364,716,931,155,904,
571,025,263,184,296,798,440,742,093,436,296,922,723,534,737,305,917,402,277,
364,922,659,825,495,415,723,729,849,109,686,074,485,667,155,672,218,369,279,
624,740,782,190,691,594,736,416,931,483,128,866,453,603,602,446,895,681,011,
761,436,902,973,722,076,230,732,991,763,478,365,730,651,903,893,079,930,617,
835,156,289,896,086,465,085,517,953,444,122,322,493,241,073,910,288,462,009,
328,255,015,723,235,002,462,994,659,801,703,911,302,329,536,633,505,176,219,
460,394,984,657,429,291,848,981,154,615,408,673,095,997,379,307,118,457,936,
870,464,604,829,007,660,074,322,747,499,065,926,296,280,117,848,264,424,042,
977,663,462,208,851,773,940,545,197,861,747,852,393,969,411,734,564,780,780,
409,642,751,227,463,563,435,400,074,924,435,258,905,116,503,400,567,070,993,
278,722,769,719,463,802,063,658,773,808,475,700,117,976,457,315,462,819,500,
244,598,563,104,116,775,235,295,453,836,035,392,508,697,280,690,624,866,933,
557,234,654,517,777,309,096,247,644,295,781,820,165,651,609,062,447,782,651,
877,257,192,967,490,127,282,207,026,620,153,106,697,540,477,517,835,746,198,
116,095,794,164,519,706,161,832,690,381,384,079,538,397,827,621,299,162,301,
458,047,140,870,306,643,125,011,425,581,434,537,280,188,035,859,223,230,447,
984,940,421,370,483,566,867,379,024,723,675,220,228,248,998,023,329,809,804,
776,454,842,296,548,716,560,865,313,810,331,928,051,298,078,569,071,619,925,
923,364,791,039,964,477,132,367,134,570,627,460,078,753,910,639,976,780,935,
103,985,102,842,925,931,407,716,372,454,933,067,215,939,784,863,079,144,642,
868,641,018,498,799,645,855,014,219,465,950,861,789,629,214,953,665,173,669,
628,739,912,488,740,783,827,261,214,625,855,899,815,298,224,351,497,283,432,
076,872,756,277,884,262,694,175,766,287,482,003,325,192,928,271,595,300,960,
211,768,142,368,109,599,170,444,884,727,756,678,548,286,227,840,243,263,572,
497,052,608,083,899,221,213,108,664,549,163,237,802,456,231,435,743,332,493,
382,694,748,917,725,635,570,367,349,645,621,495,856,282,664,261,868,416,579,
662,946,326,147,672,716,272,725,743,846,883,337,996,723,636,389,117,067,618,
539,795,149,780,848,351,060,247,072,604,412,070,623,704,221,308,785,812,616,
746,295,031,557,545,290,451,703,888,761,828,529,383,541,938,093,813,270,473,
768,551,020,885,330,196,541,890,211,532,815,578,314,467,825,985,097,394,342,
704,957,306,879,481,952,002,122,084,693,029,698,325,999,300,149,483,313,904,
412,676,262,396,279,677,727,463,279,988,477,236,275,469,507,125,753,259,536,
473,420,729,394,640,023,840,801,419,644,752,018,155,333,195,460,278,349,399,
320,344,226,098,052,886,679,155,201,229,821,882,878,481,486,880,758,668,023,
865,431,396,175,590,716,104,296,580,262,947,153,105,898,375,650,630,286,162,
214,520,621,954,620,296,233,304,308,182,244,622,306,486,244,565,226,245,745,
225,903,063,803,969,415,266,443,177,163,903,568,108,186,898,706,389,592,314,
974,743,029,560,563,405,822,572,896,763,535,477,537,616,061,883,954,297,906,
455,008,418,722,869,373,832,220,354,088,066,874,968,161,814,842,422,574,992,
367,369,167,118,402,188,794,888,006,780,126,376,913,529,322,795,429,439,844,
298,479,827,147,123,829,834,071,677,859,687,351,464,499,402,127,108,992,030,
387,364,873,296,121,701,325,160,095,340,342,020,640,880,897,383,585,611,561,
363,381,376,194,460,789,416,750,778,197,726,769,149,464,283,067,276,313,612,
960,605,040,222,593,039,029,492,260,514,053,366,522,974,785,055,089,155,796,
243,854,416,518,813,935,958,317,953,410,423,924,095,845,400,980,867,492,220,
699,442,172,772,549,541,375,022,005,840,355,962,080,813,188,310,359,830,856,
513,135,412,927,447,790,845,122,282,562,762,417,454,995,985,814,749,000,265,
753,930,834,402,991,015,569,356,026,140,845,943,102,602,004,968,545,829,245,
798,253,522,591,990,658,945,014,771,969,282,326,501,528,980,996,610,859,855,
260,375,416,738,991,881,307,134,206,921,076,240,984,602,703,620,066,450,567,
142,366,335,952,014,567,198,699,724,197,262,625,608,628,293,674,934,712,583,
641,049,812,915,744,658,152,695,582,592,838,184,340,633,570,984,117,858,996,
218,080,029,293,336,652,801,467,204,389,517,241,342,608,242,743,176,062,622,
320,547,364,602,359,573,419,241,713,188,936,328,138,159,177,371,806,817,554,
553,170,056,101,409,293,134,830,540,066,926,738,627,003,973,296,754,445,775,
463,711,969,055,992,135,786,537,441,269,215,582,534,269,383,085,969,203,069,
730,654,170,419,144,328,115,712,954,639,549,740,666,890,463,704,689,634,448,
584,516,653,523,339,684,898,483,345,201,442,150,426,467,756,565,424,142,558,
734,109,436,782,439,144,423,588,420,775,398,039,055,379,075,194,730,075,579,
412,614,097,665,533,364,913,338,013,334,498,462,416,617,635,041,488,504,801,
552,275,356,310,906,272,704,982,094,721,265,794,152,084,972,401,755,881,230,
596,064,042,505,463,974,135,326,077,243,179,013,172,649,340,733,836,481,566,
409,067,658,647,511,642,162,150,845,370,156,551,234,912,896,217,411,514,351,
140,601,313,598,516,947,969,421,132,026,080,849,357,278,818,974,728,360,613,
268,898,736,144,571,435,307,676,869,865,617,278,319,498,704,293,592,987,510,
710,377,556,954,573,805,718,627,004,756,871,693,036,219,510,111,080,334,960,
723,908,389,584,081,576,378,370,124,066,200,061,768,973,202,290,901,355,945,
408,452,196,022,388,085,417,115,280,992,941,147,635,876,303,132,598,957,679,
116,979,542,691,244,864,858,637,631,621,403,893,999,598,156,666,739,623,458,
160,280,066,664,702,192,321,208,518,088,880,064,792,646,336,792,105,268,472,
016,208,983,078,404,553,194,339,956,485,977,076,011,569,045,918,562,677,846,
807,369,742,848,996,233,736,408,615,225,915,962,296,324,493,336,034,188,032,
463,599,376,300,825,397,151,768,673,727,526,191,953,474,153,871,037,268,102,
473,012,116,004,615,232,916,958,038,332,812,745,803,449,871,059,345,356,456,
397,427,010,797,031,715,723,741,777,886,407,404,408,037,139,941,783,409,897,
396,614,996,055,363,006,119,921,915,352,855,629,363,980,090,096,299,781,044,
734,173,915,889,222,239,647,706,410,134,257,457,867,225,864,737,567,883,876,
384,529,788,417,596,663,742,082,050,215,968,245,792,601,052,747,832,563,746,
666,983,447,725,875,499,686,580,714,775,093,622,198,566,731,936,206,864,266,
372,731,334,393,292,571,221,097,977,525,054,708,021,579,229,484,905,951,726,
694,248,092,553,840,327,922,199,585,863,502,389,497,317,246,497,065,579,858,
347,552,371,639,908,839,340,102,582,651,116,235,497,023,830,895,552,922,099,
990,874,043,397,886,014,001,101,154,021,002,207,912,819,043,453,176,798,634,
038,634,609,092,483,476,122,869,740,849,764,981,086,666,186,952,948,501,788,
397,145,473,926,066,109,406,654,904,738,085,270,096,471,043,796,476,451,867,
476,895,937,465,498,606,461,661,390,880,956,164,497,034,158,882,253,383,422,
931,389,638,828,810,445,566,949,692,631,184,952,530,536,641,460,468,978,480,
747,558,506,485,764,567,657,415,857,191,416,504,382,665,921,010,218,094,002,
368,021,051,690,606,578,675,328,699,885,504,524,795,580,315,319,134,044,732,
320,427,203,339,564,971,143,734,677,372,137,238,255,470,882,583,295,583,339,
689,936,501,099,436,256,307,559,719,320,760,604,311,425,794,316,315,337,636,
452,752,709,866,796,662,149,574,378,743,913,911,879,199,285,364,424,244,530,
036,996,052,534,661,047,209,771,918,018,851,385,772,119,377,725,283,060,952,
768,403,711,195,015,733,596,539,374,096,991,212,609,569,402,472,505,785,141,
019,659,649,481,434,416,653,249,114,673,690,864,251,891,848,586,267,435,002,
037,960,409,368,552,843,078,318,991,328,047,500,749,957,324,922,319,481,125,
260,173,544,550,952,321,530,226,832,658,739,110,593,996,109,245,908,327,629,
771,451,944,396,956,712,764,174,075,413,518,343,852,536,942,162,508,621,071,
787,690,083,996,123,566,141,351,387,040,187,032,044,062,299,757,700,454,884,
737,624,849,724,342,186,819,739,809,414,805,027,294,616,027,325,873,865,758,
834,875,257,465,242,996,701,844,289,300,217,776,066,343,774,882,133,260,035,
204,377,831,618,931,097,940,310,518,565,337,095,765,579,984,854,136,633,545,
679,582,506,832,071,561,333,266,772,483,660,970,719,987,198,658,295,682,010,
825,714,511,914,805,644,789,143,117,495,182,450,656,119,972,885,055,941,420,
235,996,556,263,434,673,663,040,756,366,872,976,964,064,467,105,397,095,743,
664,608,496,751,639,040,957,784,517,886,793,643,612,810,276,795,564,521,226,
633,494,632,588,990,120,508,081,073,405,994,045,594,400,486,393,088,420,869,
017,662,684,779,308,834,909,498,805,697,966,131,054,669,372,329,458,734,102,
967,153,725,739,143,685,265,603,935,748,761,687,341,137,225,730,177,874,468,
832,977,322,205,562,289,772,674,297,401,299,995,250,575,239,806,136,834,985,
076,351,221,554,487,370,284,717,156,502,736,130,170,310,044,557,553,736,058,
893,692,234,753,317,678,117,115,869,780,571,408,408,826,779,789,790,115,215,
122,809,794,804,320,710,292,995,761,537,956,960,851,458,759,265,248,157,944,
427,684,606,424,990,383,988,343,777,403,566,093,808,251,291,715,022,871,748,
609,773,534,226,503,691,872,326,098,912,475,742,103,589,354,012,795,583,141,
160,887,430,466,980,607,644,156,709,413,634,882,336,336,722,018,784,012,035,
375,081,309,347,830,852,149,670,908,153,690,964,031,775,229,873,542,575,485,
014,019,878,980,880,161,532,592,938,701,078,967,633,981,683,170,502,331,094,
375,355,249,397,395,881,881,915,753,973,755,774,723,106,890,134,186,012,951,
986,000,861,477,868,128,475,936,450,566,420,748,182,398,745,515,715,045,391,
088,761,066,651,206,033,716,988,249,719,526,799,368,943,051,706,529,874,718,
594,010,459,813,090,128,804,457,796,571,144,698,858,585,324,019,247,611,529,
015,007,456,309,481,458,520,724,041,374,728,139,851,805,835,811,037,372,901,
080,961,817,756,473,023,676,513,537,736,972,388,400,966,932,477,379,408,049,
134,666,874,225,941,743,830,585,777,486,250,469,048,950,828,854,982,335,637,
575,263,993,987,028,714,610,394,606,775,463,258,871,430,703,455,430,583,054,
454,310,661,136,760,950,368,190,868,963,313,066,722,370,132,766,275,326,643,
832,143,037,948,763,975,056,316,364,013,761,712,443,619,231,105,347,761,864,
769,725,693,467,491,442,682,243,294,295,877,052,137,377,987,368,494,544,331,
071,552,755,869,459,357,719,116,819,691,191,124,438,682,530,256,413,537,923,
649,750,270,743,766,250,686,370,231,276,700,273,746,231,489,877,444,641,283,
047,213,159,569,823,562,273,755,060,979,094,863,077,580,993,447,503,578,167,
554,569,969,900,556,049,235,697,132,481,983,493,166,883,383,239,301,255,676,
178,587,124,102,848,333,790,229,563,883,568,910,341,120,159,429,540,073,335,
148,462,732,282,593,979,711,534,938,216,566,890,848,873,805,008,272,572,322,
202,778,596,081,794,181,067,073,802,238,971,078,236,564,869,273,900,548,053,
410,755,430,120,396,485,463,726,279,295,383,403,847,638,609,436,769,381,615,
577,237,464,657,804,084,020,572,212,567,201,929,453,643,106,868,297,569,096,
300,987,362,920,224,536,641,368,629,619,843,360,295,843,968,838,054,145,378,
457,591,386,266,099,392,010,838,257,838,512,209,787,772,400,669,310,634,424,
259,485,670,383,394,346,420,627,679,333,506,247,801,557,212,777,795,780,873,
715,320,052,679,667,195,821,764,857,048,292,439,094,600,457,679,884,901,556,
953,108,328,026,059,856,636,538,409,975,591,135,197,377,940,914,452,700,880,
244,763,030,144,095,465,960,854,343,861,341,183,038,902,110,645,114,170,602,
705,088,700,048,618,195,696,824,723,995,659,374,513,213,008,010,291,220,699,
364,438,775,155,044,267,974,796,643,649,362,047,499,671,286,691,691,970,330,
011,574,938,466,031,385,289,361,405,174,224,335,233,359,152,082,616,704,329,
056,627,917,047,786,599,851,048,379,478,294,920,790,004,363,775,527,351,320,
688,236,285,632,822,219,877,231,533,749,478,400,280,254,231,341,223,217,788,
181,144,986,033,108,845,727,624,900,112,311,073,454,960,116,384,987,642,137,
112,924,740,308,034,893,516,619,154,208,269,659,400,601,773,066,655,542,969,
711,516,092,164,522,977,562,709,087,303,601,620,164,105,008,884,675,847,105,
373,428,406,831,555,328,123,860,604,348,636,711,554,299,948,518,048,050,132,
482,876,029,219,096,122,559,829,055,290,452,078,272,005,620,837,267,444,651,
174,022,569,764,285,278,168,309,129,528,808,574,155,704,052,420,883,073,594,
213,431,016,300,506,569,725,540,403,546,158,914,240,628,417,564,877,704,568,
722,411,562,804,656,367,371,281,143,579,548,175,580,224,132,904,593,168,102,
467,934,184,792,685,913,079,869,999,753,087,720,339,019,667,612,217,273,917,
766,800,821,922,038,170,006,007,925,130,347,704,274,580,451,109,498,919,711,
469,967,697,149,151,896,797,592,337,484,695,094,518,034,125,065,733,384,348,
174,401,213,670,845,273,824,079,435,135,279,023,566,030,766,254,542,098,592,
359,698,768,587,468,073,261,347,375,728,216,072,002,968,580,252,780,405,907,
271,905,503,713,817,812,884,408,679,832,459,791,988,766,977,287,455,173,481,
840,006,884,763,757,749,421,881,503,423,140,964,795,651,908,009,197,529,535,
768,919,385,836,785,312,467,547,804,579,291,047,125,740,507,909,836,439,262,
624,942,350,800,502,231,507,497,671,076,170,082,559,243,666,149,984,822,477,
413,876,358,624,352,337,554,661,307,407,093,147,051,725,459,133,831,603,844,
531,484,576,603,739,751,730,074,947,780,633,475,739,736,247,611,522,311,044,
366,543,523,489,927,296,542,324,684,951,917,247,620,909,122,247,022,809,836,
926,632,787,158,043,629,722,047,957,834,390,138,805,002,314,265,255,371,874,
736,153,106,266,120,334,670,587,915,747,508,277,741,149,268,310,440,821,731,
449,817,408,736,302,882,007,900,010,620,909,905,104,399,534,722,416,301,456,
877,700,512,511,794,950,468,830,399,398,896,159,225,646,216,139,797,035,570,
928,360,156,329,946,095,241,194,138,369,745,001,266,111,902,442,731,823,786,
494,437,028,396,856,727,157,362,959,053,237,647,661,577,412,545,062,108,719,
744,526,758,554,731,117,770,938,031,793,335,224,187,448,568,095,840,577,032,
113,381,904,702,304,574,477,159,457,481,609,807,033,548,409,245,273,272,435,
264,403,724,723,287,495,041,106,933,552,456,037,262,819,857,619,322,501,553,
058,897,951,087,886,983,503,105,957,453,593,221,401,445,460,771,860,434,074,
008,882,894,464,364,115,116,301,730,211,620,606,077,573,057,619,939,210,054,
334,579,719,877,634,376,829,753,625,858,672,958,497,818,667,472,191,399,008,
342,427,384,895,416,799,634,914,309,236,497,418,101,513,696,996,059,188,873,
112,464,625,758,226,801,764,609,303,994,806,000,945,761,570,643,163,355,173,
261,812,747,256,863,669,967,813,160,917,213,839,140,557,591,530,397,902,683,
805,885,531,019,950,845,993,996,672,947,724,305,079,528,205,153,832,976,028,
876,925,205,757,337,731,896,043,581,245,345,805,635,643,235,932,025,044,221,
187,518,590,867,584,503,441,271,088,342,789,982,601,454,818,244,658,616,974,
012,397,630,038,820,294,568,765,486,317,595,598,309,451,620,208,042,839,598,
759,442,444,485,508,859,547,008,984,373,925,558,788,710,870,166,725,068,330,
136,994,663,822,154,478,413,961,043,294,358,533,513,891,468,917,032,578,340,
803,060,877,591,231,804,037,785,599,903,057,126,214,186,607,103,101,893,688,
668,611,759,885,625,661,280,327,729,995,004,144,748,637,612,403,993,110,471,
496,054,449,785,203,250,602,439,952,090,184,235,482,085,111,200,569,534,688,
539,732,789,438,618,733,814,469,954,030,436,232,627,108,996,638,048,045,018,
292,484,968,072,848,445,007,735,234,088,404,451,802,171,948,116,147,975,094,
742,713,080,388,370,776,057,793,936,306,862,468,735,427,387,467,548,888,534,
050,045,703,090,847,831,532,046,234,973,969,705,501,509,918,644,645,530,909,
175,466,124,253,318,594,480,642,266,145,690,687,296,268,908,442,283,093,607,
747,938,560,405,671,551,901,785,335,582,645,184,477,988,176,734,088,499,964,
038,102,878,299,765,550,645,972,753,630,159,112,029,475,710,276,634,323,814,
328,669,688,119,571,888,463,789,533,521,252,568,951,016,764,518,295,566,583,
425,883,815,078,058,434,442,675,893,212,477,228,387,534,019,135,502,804,528,
177,915,832,675,118,960,662,394,843,720,006,944,307,253,437,736,007,020,079,
891,003,972,236,533,060,317,743,396,458,116,788,563,928,336,208,640,399,368,
726,169,791,009,203,174,055,225,603,560,655,038,163,635,502,432,352,995,935,
893,326,258,278,519,860,181,573,054,476,754,079,054,271,415,314,527,057,755,
097,982,999,452,895,747,352,959,034,499,052,426,439,345,452,236,861,167,890,
012,786,352,856,879,578,336,610,756,628,057,259,801,389,857,447,533,019,506,
605,964,566,059,182,083,123,758,737,073,396,843,696,368,901,919,346,878,589,
227,263,466,519,485,584,585,726,684,474,061,084,718,197,739,918,762,470,323,
488,648,548,444,911,936,856,995,232,748,487,268,320,272,932,132,937,248,266,
494,389,621,255,845,641,984,116,985,886,956,111,294,747,641,156,363,424,591,
893,787,653,302,737,169,137,966,095,673,332,552,430,675,431,308,378,623,319,
587,181,678,319,679,829,736,769,324,446,152,937,160,068,647,940,943,563,423,
211,374,143,362,325,799,918,349,728,130,524,288,092,788,214,044,357,312,005,
080,333,163,852,588,372,871,386,848,295,158,162,905,084,033,507,669,090,273,
886,510,359,831,009,714,546,615,295,327,006,842,418,284,668,975,731,473,320,
609,996,171,671,068,671,481,782,918,406,995,651,057,526,251,808,885,156,919,
938,501,694,230,337,450,100,183,451,282,444,571,441,645,166,902,156,212,385,
483,554,716,933,739,737,984,449,691,497,751,079,500,283,965,973,796,894,271,
063,883,345,081,479,289,502,244,212,354,581,770,068,692,944,442,614,623,501,
628,432,203,083,743,965,374,378,058,650,121,624,339,870,207,331,831,453,933,
564,794,844,178,062,986,839,697,579,403,641,485,289,379,603,798,838,829,245,
840,876,818,975,479,479,230,651,939,563,354,372,552,759,410,658,189,703,434,
969,786,753,511,667,718,022,777,260,833,901,610,169,541,315,731,986,494,941,
606,849,990,814,299,111,148,931,472,557,677,556,736,713,316,576,119,089,344,
339,761,296,406,929,874,068,829,868,746,981,794,256,816,358,506,305,946,912,
133,774,809,010,247,811,505,247,377,412,587,968,169,211,739,371,391,408,018,
525,366,273,814,216,776,037,616,676,177,028,879,671,524,615,772,159,976,642,
677,530,175,677,691,975,687,877,158,043,597,155,427,159,641,470,842,020,875,
615,497,938,241,980,661,357,437,495,503,026,457,324,873,124,432,441,056,499,
343,152,699,068,837,691,837,074,833,596,613,281,234,208,796,337,696,492,894,
041,819,315,656,704,657,070,548,411,848,884,122,384,558,357,689,244,834,317,
006,099,642,204,375,527,950,097,011,241,315,037,269,241,502,265,561,703,027,
341,866,148,475,311,917,240,949,826,146,816,830,258,296,294,999,602,104,362,
049,489,576,160,642,556,891,883,758,147,085,482,212,325,373,215,968,449,211,
255,759,098,143,181,611,516,571,964,318,549,886,601,074,103,765,485,600,140,
243,169,324,775,422,337,332,736,523,772,348,301,789,838,144,772,130,598,579,
226,696,349,902,382,301,768,183,422,110,064,564,403,009,585,737,309,305,991,
055,227,244,973,181,702,641,049,638,919,467,846,220,561,051,327,633,262,836,
015,570,556,066,295,546,278,306,814,051,436,776,865,216,399,882,950,966,572,
232,664,329,776,587,806,556,823,377,080,814,483,209,869,600,144,145,619,388,
454,693,784,048,808,256,500,907,062,134,394,478,472,197,313,836,291,236,673,
031,651,897,064,315,978,521,141,793,892,445,749,396,202,054,207,184,587,211,
869,072,665,062,259,635,474,440,961,996,704,537,956,943,993,911,837,358,454,
103,458,293,212,583,913,818,434,764,394,626,297,224,932,425,750,476,967,211,
203,963,081,097,832,326,357,613,035,370,844,235,088,946,766,919,429,742,716,
689,417,126,810,194,970,473,415,473,093,843,828,637,267,341,462,596,831,887,
781,306,171,911,585,610,146,871,741,739,318,723,782,870,259,985,131,990,326,
253,450,154,932,766,254,406,126,956,514,776,959,765,785,562,693,703,482,587,
820,753,976,365,148,892,652,044,912,422,507,834,136,965,628,243,721,107,494,
260,796,380,041,372,402,934,442,411,815,606,704,853,208,670,771,357,302,006,
925,179,895,592,296,290,135,263,657,278,819,328,922,947,251,771,988,508,072,
060,155,487,984,325,946,302,232,505,137,749,785,904,172,909,328,288,819,430,
947,561,685,537,892,738,380,894,987,715,908,788,673,021,004,066,933,867,040,
052,190,088,185,306,241,265,010,598,706,853,464,168,468,563,445,564,378,035,
011,975,832,063,771,601,841,348,574,289,376,709,717,049,533,699,194,378,092,
337,947,613,844,301,589,806,727,408,893,372,456,042,143,045,368,156,088,341,
714,142,190,050,776,509,147,294,635,756,914,125,614,192,498,649,711,241,438,
136,662,470,587,133,439,961,483,643,866,050,075,136,126,626,251,747,818,512,
556,839,618,851,387,717,195,781,876,589,575,753,778,635,703,603,940,219,972,
632,628,406,201,566,491,429,886,092,812,846,262,011,566,708,501,648,334,740,
492,130,036,740,093,666,196,811,166,576,175,964,084,862,771,134,265,737,574,
444,605,299,082,532,594,853,459,518,789,098,293,390,649,185,192,338,601,132,
646,244,675,723,330,919,801,064,882,132,169,592,472,995,278,926,736,019,142,
460,274,426,369,561,956,239,685,384,661,450,168,353,694,796,124,986,160,651,
887,711,593,102,832,124,510,067,988,342,669,771,500,396,821,283,058,499,130,
366,997,059,427,547,269,921,102,562,431,949,005,966,839,187,838,852,549,619,
633,693,089,977,189,732,972,274,322,822,558,856,654,096,642,235,421,087,370,
671,005,029,847,097,723,453,316,581,193,724,402,694,979,024,432,497,923,070,
107,116,429,800,681,777,568,352,718,475,389,395,916,175,509,235,662,558,057,
132,138,365,853,384,624,072,443,408,597,313,865,775,233,053,026,557,473,180,
048,402,857,489,002,209,302,985,272,772,109,117,023,840,348,855,130,328,561,
997,135,220,786,373,929,969,755,241,681,128,695,403,981,923,451,992,664,257,
482,846,230,111,390,338,088,485,444,714,470,438,160,974,310,346,316,690,669,
777,283,275,463,165,384,677,924,498,913,892,187,975,721,152,543,897,522,254,
480,805,781,798,146,006,005,016,826,038,821,437,917,370,909,896,240,526,755,
682,484,552,258,515,991,045,323,622,353,741,254,088,010,839,433,640,600,686,
006,351,864,876,931,081,199,804,710,669,344,330,568,649,200,408,944,127,673,
275,923,219,318,415,283,835,657,338,748,100,924,421,411,912,453,432,030,023,
344,419,145,815,936,729,012,048,048,711,410,488,411,987,688,910,076,195,072,
851,097,341,933,894,398,839,780,136,589,618,399,135,643,688,647,186,511,321,
688,495,919,938,038,632,041,218,386,166,267,653,270,784,981,358,292,509,877,
355,765,225,704,619,982,207,697,496,800,492,886,589,634,492,131,221,782,173,
455,987,887,209,967,543,140,149,887,557,942,664,458,347,899,773,834,958,746,
320,831,092,638,774,487,581,308,058,069,491,102,964,535,603,490,519,532,415,
142,776,543,448,731,072,214,229,388,473,305,186,278,932,201,403,558,660,267,
074,890,765,765,690,574,491,551,835,892,584,085,327,750,924,871,752,040,199,
476,867,787,244,158,498,848,561,979,747,722,248,257,898,327,223,730,524,768,
939,864,765,371,782,668,433,316,620,175,616,725,371,362,629,719,760,093,622,
222,028,981,435,798,436,704,251,823,441,458,730,289,436,655,760,382,405,354,
595,777,096,945,223,484,015,559,326,221,135,046,430,794,134,743,522,896,435,
040,100,667,370,259,489,006,169,733,011,008,033,467,281,915,707,776,600,658,
399,205,099,190,069,005,475,506,045,091,831,980,966,900,546,516,785,036,537,
726,927,909,152,960,134,231,432,953,077,122,247,327,743,913,103,535,051,023,
082,977,588,624,233,301,915,690,006,861,885,318,600,141,163,472,328,415,175,
133,553,639,492,441,939,433,357,516,520,456,730,736,271,118,499,220,194,301,
261,432,576,789,562,573,492,944,537,402,230,923,095,727,567,484,547,875,800,
584,009,226,733,420,154,796,863,550,728,956,957,135,015,095,250,586,301,763,
255,466,687,704,150,777,172,443,174,473,399,940,537,059,950,816,466,767,918,
618,044,013,140,612,077,133,508,770,375,855,561,039,527,213,365,594,375,921,
573,894,667,407,518,343,102,826,920,941,375,374,989,494,705,129,172,999,525,
334,835,705,869,074,453,313,489,934,089,762,926,950,368,079,386,523,928,236,
198,252,232,039,099,692,450,794,940,127,025,100,669,508,971,013,856,482,673,
772,349,055,479,206,525,278,051,004,001,624,730,576,744,559,180,456,996,853,
515,102,599,629,307,551,081,095,643,295,914,567,117,529,331,467,077,989,567,
046,588,749,737,834,571,344,604,237,521,148,893,562,168,128,276,954,308,908,
482,800,224,843,648,744,008,599,105,576,114,609,197,503,569,328,356,794,516,
840,451,806,399,007,979,823,362,188,218,849,877,243,317,441,927,594,646,935,
340,934,060,333,204,409,423,325,612,670,522,204,830,244,938,618,136,281,826,
356,848,384,463,726,804,141,407,029,935,578,725,376,016,514,734,459,753,036,
612,318,493,564,472,653,339,895,011,527,660,844,303,853,214,136,900,644,973,
930,660,456,802,336,212,915,983,960,510,933,805,927,780,603,070,734,809,044,
589,182,542,234,993,630,086,799,546,890,784,938,528,928,557,962,252,068,832,
502,728,823,037,156,565,524,815,344,392,125,475,795,823,704,971,318,754,669,
017,354,425,954,824,317,751,954,670,031,519,966,730,072,486,786,647,959,879,
203,321,606,491,849,560,388,110,638,415,743,233,072,717,157,931,234,518,131,
728,356,975,264,039,428,202,475,203,683,884,631,664,854,259,947,828,495,409,
455,240,717,170,302,995,316,368,400,111,420,005,122,729,495,781,567,747,937,
186,327,666,700,501,459,669,159,700,429,695,801,210,454,928,037,289,559,910,
076,624,618,351,741,670,711,854,008,668,039,683,777,141,328,439,846,368,330,
045,098,050,903,716,864,631,251,237,481,389,108,272,344,854,837,196,756,069,
376,843,632,677,710,843,577,857,500,131,140,418,451,417,663,669,163,696,534,
375,850,869,875,074,959,692,475,634,368,169,833,491,344,665,253,322,522,880,
443,441,469,365,936,910,834,384,653,737,492,986,070,301,467,340,809,917,498,
493,389,239,401,467,755,599,623,003,369,932,530,200,000,105,735,082,459,607,
661,624,847,063,640,885,364,971,968,672,925,182,675,243,182,914,258,160,915,
267,217,461,682,418,353,132,132,616,003,392,717,358,260,374,919,213,281,258,
765,159,655,205,636,065,790,630,870,292,402,452,426,494,986,546,218,597,469,
515,706,260,655,545,030,172,664,595,158,745,353,706,824,920,710,480,176,008,
816,779,112,112,967,039,466,851,107,521,179,976,949,947,314,527,932,069,844,
898,047,761,032,848,522,389,958,849,848,354,818,663,181,082,826,301,973,160,
902,338,618,145,650,084,548,522,533,324,946,621,248,023,379,318,293,552,384,
058,503,825,448,421,555,111,598,190,358,178,402,766,980,183,498,030,736,541,
832,075,843,851,536,479,433,239,428,109,852,369,949,906,826,727,570,744,237,
260,380,144,268,482,021,827,628,246,102,532,734,066,591,189,837,955,833,916,
905,173,171,555,793,692,577,725,755,442,959,036,786,351,691,581,466,431,930,
195,653,727,816,473,498,448,150,510,414,879,060,704,757,889,727,043,806,525,
535,537,720,489,474,072,302,010,359,306,450,579,514,088,706,225,592,964,378,
222,151,034,033,753,336,188,184,872,910,733,630,578,999,573,522,799,357,759,
768,380,220,340,809,890,674,491,795,607,448,075,199,364,043,225,618,288,781,
898,283,372,505,389,025,741,895,526,867,898,368,565,168,480,949,735,198,577,
044,094,102,092,002,956,494,404,399,953,702,602,901,342,913,406,479,745,822,
755,007,545,173,146,120,454,936,368,317,638,107,962,437,866,596,702,743,216,
507,294,498,244,855,521,341,124,618,479,378,695,140,097,925,404,458,348,685,
292,656,312,803,167,760,743,573,625,032,124,424,508,227,365,394,247,389,236,
471,402,698,199,860,170,581,910,638,137,535,143,338,359,903,655,856,268,892,
542,124,261,054,919,693,930,330,564,729,417,498,498,588,027,680,424,429,397,
840,215,624,862,069,490,752,119,352,723,371,125,308,582,145,898,113,309,025,
101,354,752,913,895,710,241,215,218,271,589,177,751,485,111,063,419,020,061,
565,828,933,014,598,039,179,016,572,056,920,012,554,764,764,202,151,594,227,
563,836,952,462,965,970,329,531,776,299,947,309,333,941,634,230,581,106,329,
732,140,313,556,366,787,482,116,543,842,883,373,531,058,779,199,696,215,511,
125,708,673,053,621,989,475,388,808,942,610,448,297,831,272,193,499,081,780,
897,442,530,958,840,940,473,659,919,746,480,381,466,072,276,843,165,418,196,
725,164,619,970,909,683,089,772,689,209,897,165,398,672,618,879,841,631,886,
202,417,279,851,895,221,517,017,748,833,181,192,980,541,441,815,111,419,271,
923,400,893,350,712,160,403,472,421,702,639,538,873,712,982,994,627,126,513,
412,324,908,344,111,857,570,140,537,067,492,110,445,056,282,598,494,637,883,
122,346,090,361,162,163,174,317,263,201,312,799,746,814,599,578,167,512,974,
542,873,250,269,433,758,565,667,909,607,075,735,536,293,587,957,774,309,377,
377,631,286,821,345,614,518,036,862,822,945,534,281,777,018,148,514,545,436,
387,307,768,596,274,713,696,554,805,452,697,535,671,755,924,404,472,543,764,
772,023,161,197,503,715,720,781,347,287,026,630,181,624,456,748,766,862,184,
235,186,380,429,722,598,967,525,996,401,911,798,463,530,728,420,701,503,952,
145,976,395,782,304,902,951,447,599,004,731,879,271,610,589,936,257,074,328,
111,983,547,230,546,356,783,768,912,739,611,882,757,709,340,394,686,411,851,
797,465,498,957,308,684,708,339,345,937,052,424,783,402,984,030,163,786,108,
488,365,816,311,255,188,198,087,993,177,808,286,510,985,111,125,711,011,227,
371,492,307,243,113,763,986,557,441,389,089,521,219,640,192,484,935,923,261,
359,500,597,822,614,439,692,134,915,644,226,945,148,495,015,612,318,961,589,
621,344,830,578,008,616,297,723,402,592,807,398,294,240,950,610,506,314,867,
028,258,230,083,028,252,682,552,525,016,420,439,734,858,130,031,713,624,632,
735,520,660,696,069,482,256,937,743,906,953,682,880,554,644,317,376,372,304,
304,517,639,602,819,080,521,864,430,239,456,201,887,411,506,298,770,642,146,
724,115,850,166,447,316,660,470,287,994,290,463,963,245,133,576,145,301,823,
580,650,382,279,521,804,884,631,781,540,797,321,289,975,200,404,837,779,929,
373,193,666,360,080,816,527,664,672,751,194,384,684,341,705,626,176,857,651,
261,141,916,388,933,342,891,169,478,576,919,277,990,571,624,681,313,122,047,
832,465,566,168,154,065,258,981,658,130,554,751,901,831,386,219,190,038,746,
061,104,817,176,212,142,487,134,979,109,618,942,894,781,766,526,520,798,099,
647,513,227,187,414,606,728,178,612,525,828,502,863,760,473,249,053,452,606,
977,249,660,638,929,632,430,456,085,740,308,381,975,754,184,867,524,193,914,
296,692,820,412,089,379,854,438,443,819,893,790,305,777,379,914,686,778,159,
377,263,402,574,777,280,029,087,700,066,468,017,810,010,034,231,337,006,034,
259,097,546,641,059,850,376,631,795,356,274,161,702,207,205,021,729,790,290,
550,573,649,113,740,566,457,603,229,907,505,343,690,987,572,229,666,732,625,
024,519,977,558,595,449,785,058,729,719,501,833,887,257,401,188,861,623,082,
680,920,223,349,466,437,069,653,116,787,796,729,606,301,402,418,368,235,323,
153,916,765,341,362,991,306,268,727,942,302,469,827,068,796,234,344,089,384,
685,969,668,265,923,963,461,796,763,011,826,208,722,298,845,109,085,506,665,
175,343,380,542,143,986,634,830,664,498,411,124,423,531,016,109,296,602,532,
046,817,226,914,379,997,793,375,141,701,262,523,791,746,100,830,489,188,383,
305,379,959,392,952,029,732,760,659,261,844,247,902,626,031,370,035,814,449,
522,248,357,268,250,123,045,066,651,813,093,369,755,765,283,178,083,333,284,
816,754,006,299,240,237,660,333,729,813,624,325,948,082,435,162,415,421,185,
903,732,877,005,335,349,579,478,512,891,855,435,804,138,746,467,697,083,928,
240,931,957,518,838,019,307,038,507,903,168,984,574,100,292,664,402,737,455,
157,451,453,661,538,047,601,072,789,825,415,882,292,040,558,689,004,784,722,
262,474,898,234,587,505,255,683,745,903,677,903,646,505,454,287,583,619,897,
861,470,490,571,920,040,088,160,858,063,780,043,592,885,303,363,180,365,606,
391,095,960,236,798,856,978,508,609,075,726,180,542,248,214,677,869,936,326,
568,152,191,213,561,068,021,351,753,312,495,872,096,661,438,519,913,152,733,
696,607,735,833,822,548,097,370,369,165,984,301,249,738,700,983,446,517,600,
912,166,187,174,576,828,417,478,251,189,699,410,202,893,490,508,546,650,371,
488,440,506,383,413,381,997,305,166,011,634,011,778,974,196,024,787,721,346,
235,579,585,714,745,777,827,821,072,656,211,489,189,433,223,489,682,895,090,
780,947,798,832,083,313,369,925,099,163,893,284,679,901,793,972,053,411,460,
265,488,237,613,657,942,026,927,721,234,414,678,041,694,891,671,747,652,951,
663,356,666,443,343,467,584,974,322,760,429,567,689,949,941,749,297,246,118,
866,572,771,489,935,291,211,163,167,206,892,846,437,877,730,112,637,648,680,
355,883,528,470,690,682,542,139,623,758,528,063,611,645,095,542,016,376,547,
848,604,010,617,227,509,474,034,860,957,116,254,555,653,422,464,075,148,073,
561,202,518,535,441,429,745,194,889,365,569,134,761,309,615,559,454,726,329,
659,415,163,528,884,191,606,359,984,396,292,720,325,668,426,516,850,282,340,
217,316,865,840,442,065,510,762,668,059,398,722,984,445,613,747,923,072,407,
659,694,924,678,951,623,518,435,638,015,306,354,328,108,671,801,455,586,337,
507,381,520,483,362,315,830,237,720,089,888,661,668,978,559,688,158,352,272,
142,465,544,790,431,449,788,387,687,096,926,284,292,212,651,828,487,943,227,
932,406,287,366,030,417,081,795,255,859,067,660,168,178,326,641,361,792,395,
902,000,014,435,408,519,330,159,081,873,508,250,637,796,717,110,436,466,182,
582,413,093,014,266,684,430,775,029,100,373,478,749,615,946,389,384,204,880,
823,027,427,573,713,097,939,890,624,091,224,877,969,765,208,854,468,293,786,
482,161,281,487,154,455,152,167,723,140,342,296,766,901,470,018,905,102,536,
129,436,896,886,994,278,871,897,893,604,849,203,350,782,484,267,518,526,655,
341,795,356,073,386,872,346,664,930,646,564,828,733,880,999,313,154,652,749,
324,858,792,895,155,225,006,600,913,831,041,215,007,667,294,463,581,704,026,
631,858,114,191,339,125,052,137,178,152,139,323,784,475,561,400,907,583,098,
522,070,048,604,712,500,891,909,356,990,535,198,359,099,071,301,800,143,905,
263,615,891,932,652,707,093,124,440,829,444,267,045,652,902,087,038,330,995,
523,390,319,981,468,606,407,813,918,816,058,634,688,393,358,616,514,765,240,
953,316,853,849,930,638,418,491,481,915,481,368,638,263,728,090,685,863,453,
272,281,808,373,364,098,077,067,028,982,099,300,168,521,784,987,492,414,302,
120,481,708,073,434,062,618,500,743,286,061,847,714,841,397,256,393,301,422,
638,959,418,560,673,060,690,935,414,413,650,017,331,834,816,326,599,827,655,
760,863,490,417,567,418,700,227,022,925,164,633,034,359,346,372,653,298,614,
970,397,305,394,950,514,300,519,353,831,555,853,187,798,067,888,775,165,795,
283,506,349,793,145,073,356,726,630,560,968,875,616,663,702,139,446,706,922,
173,910,066,426,961,474,254,401,427,830,871,729,481,294,674,814,357,418,669,
225,395,443,851,009,066,269,820,661,897,484,636,177,431,192,558,207,074,997,
427,296,714,772,320,482,107,933,946,895,074,112,925,587,075,880,642,648,040,
820,135,380,665,057,559,546,014,171,454,667,545,051,574,463,371,572,710,257,
349,026,159,515,679,376,209,607,260,740,364,571,748,591,549,924,043,828,635,
748,622,588,107,449,206,880,723,270,609,187,766,956,422,385,403,445,325,256,
673,915,178,925,854,231,557,542,500,315,057,749,314,261,796,796,289,494,415,
698,301,732,178,483,862,991,754,790,516,552,596,874,406,464,935,469,129,993,
077,994,597,560,245,868,526,271,624,587,817,597,473,878,670,368,981,696,167,
024,707,996,684,631,978,304,849,128,301,626,150,098,043,746,083,636,856,455,
518,996,089,813,391,164,502,853,809,882,338,311,872,475,169,385,653,657,818,
322,406,214,500,887,885,507,331,847,464,466,471,098,758,637,469,063,691,906,
337,087,528,902,547,402,978,759,631,235,381,252,758,912,633,460,248,269,476,
639,986,774,439,144,026,627,010,079,152,830,869,349,195,372,070,643,163,148,
762,126,591,453,517,970,963,135,486,841,700,389,998,134,832,450,882,033,407,
517,239,391,924,184,141,314,727,464,832,914,723,256,496,277,222,446,138,823,
610,396,344,612,352,464,193,986,194,536,110,329,764,290,287,881,842,584,789,
415,100,118,878,597,863,413,360,831,067,043,714,950,990,485,930,986,045,870,
882,687,498,556,326,788,091,337,370,894,895,092,734,326,292,850,112,164,731,
514,582,163,004,402,688,102,009,687,933,254,248,552,326,427,465,782,979,308,
671,704,995,816,638,187,283,698,266,842,723,301,731,891,766,497,693,277,968,
914,591,160,597,830,473,233,844,653,165,495,403,611,601,200,550,988,423,995,
353,245,780,028,234,266,284,177,764,340,774,808,277,296,743,481,081,052,329,
355,975,325,869,448,921,557,556,414,096,178,965,643,478,464,947,235,219,948,
623,456,473,586,603,827,960,277,622,464,188,545,837,242,391,070,189,254,366,
378,623,214,904,152,594,152,805,296,568,540,525,759,940,447,136,046,944,379,
417,065,366,651,799,459,239,959,922,920,898,485,914,792,358,962,059,229,910,
708,327,498,032,283,460,525,872,258,308,839,742,852,927,548,112,673,359,075,
615,820,606,729,927,202,318,875,742,680,747,808,358,752,734,115,556,875,090,
996,443,279,365,115,825,066,474,495,131,488,109,963,559,733,650,564,507,528,
019,642,612,014,366,702,613,868,825,407,066,332,252,420,919,517,315,673,915,
535,966,482,086,572,266,937,197,885,955,211,940,943,579,738,798,716,295,488,
622,722,181,572,181,375,965,282,965,325,274,013,070,238,432,144,812,682,196,
297,691,630,525,761,044,435,219,943,816,386,888,752,445,095,816,435,987,238,
157,804,459,887,103,577,621,875,392,099,157,647,221,720,359,190,658,643,150,
734,146,760,965,057,756,169,458,184,130,539,670,683,205,407,164,415,704,023,
411,290,699,790,700,505,782,850,006,593,122,079,561,649,471,720,243,816,820,
124,301,720,619,628,750,884,663,465,048,995,807,279,070,314,419,899,424,332,
678,130,096,673,069,900,597,986,436,250,726,413,182,938,585,361,510,910,553,
299,130,562,371,821,337,789,928,097,057,335,432,892,913,275,064,287,483,555,
461,735,148,551,882,004,396,396,583,230,005,052,716,644,784,956,869,081,967,
757,674,623,208,969,492,718,059,481,430,499,273,504,487,820,303,404,480,857,
912,381,609,337,034,288,516,003,921,867,209,954,061,979,620,766,083,091,109,
117,814,909,888,490,428,615,061,874,971,292,450,163,077,288,907,760,280,649,
883,175,463,816,688,634,570,232,788,697,876,471,334,496,321,667,455,564,836,
795,233,087,769,543,796,616,165,625,506,091,478,328,042,764,570,754,838,939,
689,068,474,665,017,019,423,542,338,181,202,740,023,786,919,745,639,337,070,
207,703,216,668,121,165,908,197,438,237,029,707,060,370,547,874,347,126,658,
186,085,684,730,917,555,728,651,946,597,198,895,735,726,155,875,084,280,604,
449,039,527,940,070,503,819,896,609,452,093,224,967,582,592,041,045,325,465,
110,850,730,293,244,775,792,302,598,407,497,325,190,996,688,153,104,293,253,
506,836,755,547,943,154,492,127,440,250,797,598,953,275,382,821,946,643,508,
154,155,597,464,959,244,252,281,321,965,109,330,811,301,894,665,281,086,376,
623,872,937,940,333,315,668,786,477,610,972,499,974,948,789,211,726,653,872,
824,925,006,528,067,731,795,488,591,600,082,211,247,370,395,237,817,470,120,
096,820,563,188,487,826,108,143,483,187,934,516,170,707,807,258,840,704,623,
220,809,301,568,328,318,596,775,707,076,675,143,949,999,907,908,688,819,005,
456,000,107,824,968,665,652,132,117,443,013,081,818,949,788,774,511,139,367,
414,644,891,648,808,243,317,271,033,274,064,179,696,065,031,390,216,977,857,
765,055,451,809,487,316,008,273,609,137,659,394,509,472,851,111,137,184,154,
177,168,752,294,858,978,308,411,109,971,540,890,929,002,043,422,158,816,719,
123,360,241,358,634,713,778,488,458,396,058,519,536,898,763,636,588,036,578,
567,085,299,132,049,917,933,574,405,497,912,186,922,947,242,013,870,055,343,
994,594,966,365,527,532,938,748,651,702,648,372,993,719,917,320,060,201,199,
697,058,628,998,043,493,611,978,714,783,162,649,655,741,815,026,105,830,237,
855,293,386,907,249,913,427,347,609,274,753,114,309,874,020,670,818,811,855,
851,443,922,482,806,619,828,678,065,407,626,610,315,214,235,928,946,659,337,
551,402,483,242,390,816,552,181,474,690,542,544,453,064,851,804,732,140,832,
536,655,849,832,090,023,982,438,552,597,405,757,987,174,831,107,727,271,832,
156,242,145,582,441,995,296,578,754,490,335,085,120,434,077,375,870,519,558,
169,632,002,438,387,911,457,130,138,774,228,606,798,379,347,237,126,474,155,
308,168,199,497,417,650,544,452,533,658,830,370,593,384,022,433,445,446,744,
513,018,991,815,734,892,710,070,642,688,894,083,833,112,099,130,904,522,566,
115,337,574,481,373,240,110,894,171,898,315,912,496,012,193,433,664,330,003,
064,502,885,584,944,982,636,082,405,587,081,223,754,973,143,025,828,670,987,
201,270,331,920,925,993,188,981,357,051,487,960,800,016,840,656,498,552,002,
080,105,334,007,205,457,748,761,839,168,524,029,196,447,867,861,357,335,000,
482,943,579,088,481,776,158,104,328,680,443,584,940,442,320,831,700,630,267,
712,065,631,829,775,986,780,127,674,602,417,968,408,122,093,786,985,803,991,
283,397,204,719,924,414,769,765,084,876,796,978,263,812,424,967,763,480,376,
982,929,316,650,851,744,685,880,371,464,515,753,975,603,215,028,890,552,949,
167,740,051,607,324,039,281,448,114,675,178,172,904,182,453,638,132,904,523,
307,302,541,825,145,865,358,995,220,652,863,615,829,501,738,627,896,156,145,
691,215,498,300,935,423,706,030,887,277,326,877,354,389,761,272,070,218,771,
222,287,003,761,455,983,989,340,230,361,276,232,918,815,756,079,991,442,770,
154,286,495,822,792,516,359,779,516,094,286,851,924,436,610,854,802,377,221,
901,547,125,397,202,416,270,884,163,974,317,934,527,206,254,295,874,175,339,
488,147,501,570,263,189,339,651,326,754,051,031,909,593,264,287,090,726,975,
245,512,612,236,516,085,375,356,455,187,287,246,114,592,079,764,617,127,162,
104,410,107,257,872,057,728,639,867,839,499,828,852,022,080,760,685,810,081,
162,913,523,851,354,873,174,569,081,445,966,100,961,477,704,220,892,608,036,
147,729,262,040,459,522,624,055,804,367,941,414,683,852,902,446,904,538,248,
221,856,709,538,555,846,087,777,657,439,362,311,690,877,761,525,690,620,547,
745,680,149,568,037,386,353,254,509,855,201,018,554,533,494,524,429,575,039,
822,521,969,901,997,348,393,561,159,362,960,996,718,520,487,589,168,773,023,
820,317,196,679,497,267,606,191,125,516,319,955,066,729,424,173,868,228,504,
070,805,734,726,371,447,837,798,724,383,195,105,003,456,865,518,695,049,151,
483,050,401,261,914,138,619,664,922,322,130,374,139,957,707,725,179,123,294,
897,651,150,073,906,634,516,105,698,945,485,635,257,920,914,736,001,144,443,
414,062,794,954,649,284,785,250,326,389,901,043,899,749,622,842,381,702,563,
245,430,183,247,943,540,524,147,594,496,637,048,479,547,662,900,183,180,857,
687,334,346,310,184,476,587,430,545,763,445,849,841,254,477,548,863,566,497,
725,658,721,864,177,841,559,048,659,278,621,053,804,723,721,457,665,023,498,
932,633,724,211,693,379,947,225,405,776,827,496,298,346,920,566,206,960,126,
127,453,155,743,644,546,377,639,063,212,759,833,103,825,108,661,494,565,480,
086,154,902,469,795,596,500,899,758,152,845,312,382,310,843,523,010,071,149,
186,427,588,119,744,603,969,959,518,337,211,936,968,639,847,903,469,613,348,
335,359,603,696,474,731,284,971,384,705,552,079,522,945,270,807,729,467,595,
644,036,248,182,749,059,350,738,744,686,843,185,285,054,905,352,478,569,826,
895,005,511,310,181,796,874,630,455,535,743,563,267,983,861,169,548,040,187,
036,256,404,777,957,455,645,095,896,377,965,187,795,258,760,324,859,172,499,
387,572,416,710,028,128,209,384,291,515,712,304,797,784,117,325,507,952,168,
061,674,805,655,340,541,753,926,975,742,857,442,370,353,391,447,763,595,021,
549,453,546,905,278,562,860,293,531,845,111,866,685,805,917,589,471,631,773,
640,219,499,392,951,334,274,590,019,793,824,463,261,630,640,263,875,321,762,
817,507,585,666,481,841,134,913,638,000,453,314,713,198,438,711,780,457,786,
261,557,668,172,686,627,433,781,777,755,450,625,019,782,366,560,067,377,119,
982,927,997,276,040,123,762,179,784,529,971,417,806,617,146,719,265,716,949,
559,216,569,298,389,198,280,627,308,772,677,851,397,884,919,491,383,441,071,
471,307,612,820,221,168,313,465,478,828,526,398,970,008,397,005,703,798,014,
184,391,027,642,669,753,706,361,603,165,701,194,374,061,060,143,711,035,688,
204,028,244,101,883,202,994,719,893,261,876,107,136,390,766,810,612,504,773,
639,441,361,506,839,381,846,246,668,199,557,447,380,380,770,253,075,192,389,
214,789,953,088,893,217,351,433,902,897,504,576,651,598,075,695,796,825,125,
321,945,296,807,612,078,390,440,913,162,416,857,378,771,210,993,344,179,635,
045,047,835,025,937,018,409,595,880,621,392,495,515,202,721,587,789,848,869,
707,398,579,037,662,399,762,467,891,401,111,675,361,763,126,785,838,637,187,
844,925,266,802,223,157,434,450,882,267,924,439,358,024,704,267,555,685,955,
715,358,334,513,950,681,209,345,856,582,116,674,407,947,395,212,218,827,879,
869,751,470,714,510,475,070,123,458,279,143,216,013,247,900,571,302,714,094,
313,195,026,980,926,779,341,800,120,497,443,330,961,394,271,402,543,812,151,
647,471,428,704,014,028,378,587,638,152,217,748,866,479,069,923,792,386,245,
073,587,561,690,795,146,677,680,221,565,688,133,285,069,130,220,118,933,924,
755,954,122,473,785,043,177,164,519,084,385,565,462,028,789,775,045,175,337,
582,405,880,535,989,279,332,896,384,046,286,527,565,271,029,969,977,794,973,
582,982,790,166,112,898,828,883,922,286,921,511,622,645,753,188,550,353,213,
052,451,748,442,046,625,717,634,091,371,542,006,918,692,790,480,307,375,404,
562,390,115,680,631,035,455,876,097,627,995,700,396,472,459,360,407,986,515,
761,184,493,097,438,227,762,950,553,582,660,789,728,159,002,998,716,056,076,
982,996,713,067,248,953,715,032,373,553,357,631,861,199,342,760,039,311,224,
453,107,848,184,318,690,804,330,466,472,200,465,219,643,009,163,336,473,503,
775,792,495,362,922,457,879,191,309,331,177,461,523,627,081,020,079,259,811,
452,647,450,469,915,795,108,446,066,079,007,242,829,978,629,273,778,842,639,
680,661,623,390,415,233,671,385,184,386,912,775,120,824,426,058,411,706,138,
430,882,733,339,032,239,685,419,194,470,916,443,738,294,375,929,246,193,869,
602,732,285,029,102,352,226,562,155,876,212,572,997,681,298,383,803,321,735,
454,183,548,337,741,674,250,237,722,436,654,179,747,615,419,919,989,378,802,
560,672,899,990,960,868,829,053,835,981,958,712,283,672,786,167,288,670,493,
440,561,579,862,865,329,114,515,549,029,188,487,043,608,279,667,313,739,312,
210,351,019,322,748,200,678,196,943,180,889,569,748,648,734,529,317,174,732,
417,709,112,323,639,132,037,079,945,455,417,361,382,636,444,394,199,586,402,
522,822,768,721,700,943,557,001,003,835,109,512,452,106,380,630,071,945,695,
683,276,779,421,838,920,658,644,544,688,496,418,595,101,676,526,394,455,149,
342,015,319,987,503,728,995,209,810,553,250,263,193,042,634,453,961,338,259,
265,950,112,001,153,095,051,660,620,320,406,417,654,001,272,300,909,334,218,
359,988,198,086,684,461,630,358,813,917,705,468,289,890,125,704,380,961,903,
572,248,369,063,885,402,129,643,558,337,255,343,498,086,611,300,117,739,658,
754,192,353,313,733,994,808,329,183,776,399,962,315,842,501,601,979,607,679,
405,312,561,099,050,225,086,360,810,428,021,388,084,490,765,824,147,136,171,
436,646,832,670,695,496,241,912,302,926,260,291,516,945,145,308,706,243,745,
436,801,364,391,387,205,902,097,934,088,327,708,945,137,653,300,210,784,256,
734,839,768,235,532,912,726,498,287,350,367,405,108,720,457,948,043,695,235,
255,773,503,309,883,618,629,470,564,250,908,027,834,223,852,379,705,558,233,
940,943,479,646,745,534,871,049,195,325,294,791,911,148,273,852,651,680,253,
381,279,746,963,843,841,973,069,916,055,096,696,452,506,541,168,158,734,052,
666,855,378,653,572,260,193,551,472,034,888,249,662,378,853,073,347,547,732,
726,302,456,786,905,781,117,888,597,483,836,092,687,155,289,352,757,918,707,
036,861,049,455,480,121,205,240,574,208,486,816,462,789,272,819,852,237,138,
742,942,704,758,118,500,161,824,634,396,216,417,279,029,200,157,122,153,543,
065,119,128,295,342,217,702,270,196,835,051,778,139,038,196,489,818,784,616,
510,375,621,772,450,733,065,819,445,371,640,476,948,604,488,449,160,243,859,
096,499,080,267,563,605,942,734,474,155,212,949,846,956,139,869,600,425,431,
437,049,083,795,081,185,666,252,384,578,800,046,881,099,009,974,081,242,383,
156,351,753,841,334,804,287,341,119,112,287,853,968,100,177,027,598,747,304,
798,330,766,407,000,188,378,746,409,465,252,999,798,259,459,249,611,754,901,
053,700,740,649,159,282,010,392,145,548,436,994,397,875,622,707,558,989,779,
823,792,107,435,667,852,564,737,972,966,806,309,781,061,212,435,579,260,753,
627,421,303,166,583,469,538,256,430,506,249,664,135,421,487,432,725,581,002,
892,244,133,074,212,345,808,238,112,898,874,118,176,317,774,767,495,470,314,
331,923,981,034,931,936,215,037,320,080,137,138,537,302,690,006,569,265,618,
372,349,013,082,312,056,769,861,743,417,573,644,157,546,748,149,335,806,849,
441,123,482,121,944,976,521,534,311,384,115,896,966,017,411,255,637,164,375,
115,907,820,513,345,521,322,864,178,122,666,130,681,386,822,890,080,112,506,
691,422,634,372,100,759,858,928,828,395,389,241,645,349,917,857,274,770,037,
192,472,340,761,986,706,744,130,662,840,268,300,359,852,075,604,027,145,177,
008,007,386,941,064,551,774,124,615,812,793,880,535,880,768,802,428,643,097,
630,238,209,814,149,263,790,323,346,290,329,612,589,363,625,103,514,395,362,
817,450,327,749,353,358,711,395,985,783,150,342,423,111,257,131,662,826,142,
644,217,017,421,048,805,960,695,360,266,257,820,562,624,858,409,760,754,511,
563,704,074,592,025,234,876,687,531,093,835,225,921,447,169,412,150,029,576,
042,875,684,387,000,073,625,163,438,245,516,799,350,343,470,335,658,124,890,
447,584,092,131,803,204,721,988,514,489,524,101,119,775,878,052,324,634,161,
432,127,886,052,736,304,789,956,624,598,852,109,133,332,094,590,651,972,220,
814,805,293,131,470,669,582,705,616,200,123,025,061,313,274,841,147,453,335,
193,586,459,354,544,123,361,563,838,424,028,769,904,548,949,762,284,890,512,
147,355,898,621,200,351,167,983,130,901,460,575,960,651,142,069,093,605,190,
109,632,388,299,213,418,294,292,084,345,612,148,945,393,653,336,681,836,075,
141,632,304,670,377,707,932,174,596,987,708,383,611,460,694,160,185,564,469,
218,436,562,208,857,452,915,779,173,955,320,148,792,434,935,941,273,060,276,
047,084,670,362,141,929,126,574,531,992,638,834,369,858,877,509,776,079,559,
253,132,127,206,781,637,485,952,951,410,789,300,476,042,378,532,133,252,522,
542,806,124,723,663,586,355,309,137,053,423,078,205,352,525,911,666,587,215,
557,965,633,172,491,373,121,469,404,158,125,487,501,717,335,085,221,656,205,
728,586,360,030,288,575,257,609,294,762,236,786,855,757,814,667,093,985,764,
211,888,568,749,560,231,709,875,282,016,556,031,795,629,843,322,947,272,779,
911,325,322,353,697,641,174,252,970,685,640,325,474,044,597,465,566,278,150,
652,814,863,102,853,027,043,492,068,123,346,480,204,403,913,771,439,525,699,
923,249,854,634,524,213,408,559,432,269,018,055,212,923,712,920,513,294,194,
455,871,414,662,110,829,036,819,432,265,380,632,298,026,749,546,999,550,090,
419,369,773,653,174,989,127,176,915,418,119,180,598,812,152,102,811,978,255,
813,405,953,644,720,019,565,160,247,371,754,357,662,732,338,487,209,938,898,
867,673,729,341,945,085,017,423,363,192,741,300,299,469,184,698,118,598,706,
878,606,497,942,806,219,280,938,083,331,832,125,562,290,814,265,843,792,277,
975,764,073,928,122,816,228,145,666,039,642,079,063,738,891,851,636,560,273,
526,777,914,800,013,900,505,640,109,311,437,526,452,876,781,689,158,442,662,
513,953,619,329,201,599,442,044,087,471,441,235,690,660,361,682,568,845,992,
882,834,391,805,748,924,813,031,616,020,525,376,939,362,511,403,338,686,892,
637,040,649,097,971,745,133,996,110,248,852,232,433,396,697,665,369,332,378,
608,251,097,850,657,166,378,395,017,066,154,578,129,218,816,277,876,448,951,
827,594,757,868,141,847,971,752,014,098,520,630,472,778,237,115,938,984,917,
443,802,636,293,942,837,386,025,930,225,284,867,813,781,087,258,148,953,853,
977,067,776,757,378,139,485,400,422,734,212,516,225,151,334,424,353,501,123,
986,486,974,418,301,934,973,467,953,102,396,043,941,583,449,973,169,716,759,
169,134,959,399,896,324,226,422,547,435,643,793,725,136,803,519,223,817,439,
172,500,284,607,259,523,198,499,223,867,067,779,665,548,404,679,641,890,465,
910,867,637,728,705,152,931,894,930,583,746,640,819,604,248,466,175,010,645,
952,723,227,784,789,528,875,739,884,261,501,136,870,501,157,714,590,615,091,
390,890,928,506,938,942,398,856,556,611,632,951,731,197,427,999,001,629,120,
436,231,463,708,941,577,115,406,411,880,876,574,042,022,679,559,521,846,989,
344,999,018,271,564,945,624,435,690,176,103,270,101,499,131,685,507,969,473,
998,440,308,735,056,352,876,164,408,377,097,216,488,121,861,960,853,330,097,
891,393,931,596,627,026,226,609,535,911,383,063,744,935,587,272,985,884,022,
396,521,958,046,168,096,517,576,272,543,010,391,393,036,862,349,797,179,264,
875,365,243,663,768,444,483,120,623,080,254,975,128,493,778,134,979,713,698,
862,034,191,111,445,236,748,935,541,907,851,935,684,170,858,483,532,727,781,
404,499,079,234,816,654,778,769,931,514,567,052,931,653,385,780,765,114,353,
240,528,621,247,332,595,873,981,051,809,910,740,452,954,599,334,858,965,262,
339,461,826,973,435,502,678,720,192,365,485,707,535,376,342,059,467,477,386,
755,706,007,187,754,155,400,711,173,066,406,489,408,071,821,038,459,749,141,
907,938,171,853,106,766,506,206,622,823,533,035,102,392,936,612,553,775,663,
716,597,510,166,653,808,793,437,764,571,786,590,445,547,402,369,825,679,315,
986,644,135,848,158,427,479,887,911,847,911,485,125,153,689,671,507,223,378,
486,218,315,369,232,390,267,269,971,848,529,280,009,646,237,687,297,212,178,
392,511,202,451,768,344,157,867,510,481,963,749,767,081,025,772,566,029,368,
015,430,737,937,431,310,505,951,642,305,872,897,015,758,091,755,303,243,102,
194,949,111,584,980,221,557,772,928,457,926,191,006,517,670,307,404,094,818,
127,811,762,761,721,608,110,144,502,257,073,794,344,569,624,995,179,327,527,
827,267,499,362,082,105,815,401,585,066,267,025,523,969,634,592,723,659,540,
216,298,750,457,781,105,891,365,745,244,580,368,220,387,826,849,519,116,417,
211,486,411,337,705,220,278,158,940,905,080,656,970,475,931,504,414,768,148,
705,683,740,515,085,437,805,146,060,354,829,890,666,231,700,782,689,181,745,
618,143,671,207,734,883,190,991,942,662,763,803,601,589,027,697,732,089,164,
952,679,652,967,752,625,246,450,423,835,958,066,171,318,631,078,598,767,694,
581,882,654,264,228,531,431,171,584,442,125,093,714,480,880,046,185,976,411,
715,511,108,193,338,852,056,932,738,198,562,396,967,945,131,088,032,464,628,
987,188,961,719,283,000,836,087,531,482,576,642,815,972,099,239,422,973,854,
021,978,070,411,590,714,859,718,529,714,235,434,840,980,139,186,452,656,863,
036,387,976,887,789,638,060,536,104,705,559,608,592,840,530,546,572,417,312,
859,472,565,831,083,319,711,736,028,328,224,951,049,908,362,194,728,772,469,
855,301,911,805,484,920,091,347,060,377,997,032,241,639,041,501,390,039,557,
201,935,257,417,806,466,590,761,902,851,698,620,393,332,181,931,164,498,744,
653,395,108,321,451,853,585,619,407,109,059,142,813,179,928,663,861,191,374,
039,797,524,499,724,146,993,907,783,842,414,446,582,013,403,819,109,468,632,
447,696,698,358,496,681,001,358,905,232,243,306,722,276,506,977,741,947,880,
993,585,277,044,112,424,104,875,559,549,571,841,123,873,963,118,058,319,024,
909,041,660,629,501,301,715,854,462,194,235,812,594,249,589,100,089,694,050,
765,531,970,888,300,257,588,942,231,009,114,213,860,908,524,503,930,240,625,
110,995,786,188,426,837,647,752,254,898,400,777,038,378,130,039,237,677,017,
034,190,054,668,606,707,843,285,933,508,839,009,765,822,227,447,634,199,268,
780,070,745,204,782,552,676,666,120,120,294,512,576,550,070,314,386,887,260,
672,377,399,095,666,858,425,378,221,810,892,641,231,289,232,382,196,915,676,
649,124,514,491,160,801,532,153,745,110,501,487,584,626,741,504,390,079,183,
605,570,519,137,761,431,055,041,074,940,705,751,157,991,627,129,743,423,477,
253,207,436,097,145,288,737,768,556,707,413,781,131,285,437,493,863,794,338,
036,428,093,983,048,135,162,691,106,413,367,631,167,995,909,242,998,177,466,
743,924,780,368,139,194,964,423,616,755,766,578,068,064,015,603,670,601,363,
255,983,623,947,540,233,473,705,677,535,459,065,045,898,816,414,676,110,693,
406,342,753,790,668,671,984,077,783,257,776,041,436,907,705,144,799,688,851,
347,679,379,994,991,439,110,114,624,382,611,135,831,500,970,125,246,336,916,
969,387,005,908,612,701,682,711,594,463,141,238,281,414,270,884,130,614,565,
390,507,088,324,294,432,175,757,474,052,457,287,640,155,663,971,725,471,749,
249,479,912,560,856,955,572,867,075,964,843,366,437,968,543,456,795,977,111,
109,777,849,125,132,305,294,432,695,212,746,920,040,259,503,092,787,842,801,
986,966,727,844,867,389,943,628,079,985,635,101,251,036,416,041,026,885,070,
058,037,169,047,413,282,518,063,294,840,183,623,474,008,213,131,871,348,091,
543,812,994,766,206,167,136,349,952,991,596,979,822,256,027,741,995,458,931,
867,829,757,445,857,107,262,313,585,905,818,288,748,838,093,108,837,715,006,
340,051,484,997,532,398,406,448,725,854,748,884,016,361,235,396,434,296,084,
277,389,955,810,300,053,287,530,773,326,361,277,934,594,493,529,185,735,997,
366,092,521,016,716,787,036,294,272,767,396,574,949,679,893,643,285,976,761,
833,129,457,251,273,100,341,753,730,680,499,527,191,589,739,478,155,550,820,
425,293,488,507,828,732,026,142,274,185,773,150,751,419,915,864,709,825,534,
979,459,843,081,065,657,738,564,649,922,229,814,498,337,750,847,416,884,425,
356,367,334,477,711,751,446,572,683,764,325,829,676,355,482,171,075,612,455,
012,434,269,265,774,899,001,374,865,523,678,100,592,956,521,840,647,942,849,
030,754,881,962,443,302,963,439,668,460,492,009,276,655,316,456,980,977,045,
083,117,689,802,681,950,984,941,196,170,174,433,927,056,501,601,054,010,396,
108,456,306,644,442,020,966,480,067,797,529,199,526,804,342,570,171,247,736,
604,768,019,168,985,581,948,722,283,742,793,808,573,371,964,933,286,107,457,
959,824,892,178,417,913,192,745,486,632,834,524,497,949,429,434,517,439,529,
590,046,274,529,656,686,991,697,712,955,585,978,692,441,511,355,576,944,082,
418,878,681,715,001,732,946,411,218,603,562,869,811,045,048,986,526,696,249,
325,017,632,732,422,584,918,809,745,644,068,471,201,341,032,319,870,818,220,
107,321,279,742,087,726,234,017,095,602,683,603,666,060,156,814,984,549,513,
325,824,254,095,127,599,399,239,349,621,360,547,649,187,055,920,049,899,470,
460,076,451,481,499,842,976,518,284,241,893,755,823,376,012,323,813,056,757,
214,931,391,142,891,903,937,269,072,288,208,618,515,441,342,069,790,521,994,
999,225,733,229,426,853,995,206,720,016,995,738,918,993,951,720,536,953,807,
016,263,319,484,019,977,325,540,604,363,911,384,436,674,025,056,764,257,237,
086,807,331,299,541,083,869,072,537,669,350,432,243,644,950,428,027,679,982,
849,182,484,960,152,534,614,164,287,464,021,501,000,522,088,220,867,851,204,
168,755,506,498,945,787,937,989,652,499,601,231,999,867,436,368,774,247,277,
359,965,216,815,859,212,343,639,234,496,587,991,036,047,172,716,361,292,215,
270,416,481,309,065,177,342,033,393,046,723,839,674,732,807,617,696,298,381,
571,470,515,069,062,070,075,509,030,468,549,025,415,398,382,374,798,954,592,
274,716,993,324,339,367,070,479,621,340,985,250,864,660,132,655,200,710,121,
268,408,779,712,126,107,292,407,345,230,507,322,643,194,525,600,048,274,526,
527,408,287,341,779,464,954,754,910,429,763,640,012,105,742,895,083,851,863,
991,224,657,346,603,276,502,059,568,202,102,283,852,786,700,943,890,406,795,
687,208,621,859,975,660,340,011,031,959,446,829,659,279,028,454,009,582,735,
054,782,129,683,077,171,863,768,347,466,202,763,620,118,265,637,432,527,522,
652,462,786,582,107,383,371,632,656,226,211,108,448,616,535,816,860,649,902,
818,070,439,314,796,340,424,277,831,555,205,252,827,018,457,848,004,672,448,
251,134,615,829,237,938,504,034,506,451,673,595,045,206,130,592,069,872,986,
208,813,986,897,953,214,136,785,427,021,460,228,631,713,532,015,065,410,507,
238,854,481,345,642,958,953,577,061,880,944,106,649,634,549,507,576,824,094,
815,916,183,307,095,626,029,826,322,820,930,190,102,944,445,347,661,464,817,
739,006,752,303,363,078,092,231,512,630,765,708,561,895,538,965,363,229,353,
678,865,604,338,718,799,431,653,200,276,175,316,103,638,580,413,078,971,165,
284,897,600,464,410,808,130,478,024,779,707,362,060,948,113,001,475,664,302,
036,075,174,701,661,385,579,285,953,208,244,027,294,181,982,496,370,883,439,
753,877,883,498,739,567,410,660,776,601,363,611,574,628,619,173,090,340,775,
194,015,236,143,186,579,660,167,791,759,115,147,953,828,015,520,326,193,236,
993,912,236,878,053,233,991,336,809,205,094,944,539,558,938,216,485,723,922,
662,003,024,337,163,226,935,209,276,992,647,829,265,025,895,922,526,981,028,
835,545,972,016,325,692,920,084,825,191,730,871,056,179,502,311,943,186,949,
157,452,946,932,215,327,028,542,838,767,496,447,287,424,350,199,889,161,484,
697,106,316,147,122,517,201,893,180,053,644,886,654,690,855,485,359,121,440,
567,647,509,073,376,903,590,947,274,001,703,965,657,049,672,301,237,441,602,
290,062,976,506,096,762,970,212,221,711,387,139,094,289,710,518,043,219,735,
389,708,815,708,710,908,669,320,447,816,278,364,820,779,647,395,999,896,518,
345,973,095,881,067,551,493,800,089,286,295,091,193,593,470,206,149,805,385,
976,608,992,339,380,540,246,252,589,294,062,470,688,281,855,651,679,547,858,
406,917,158,799,280,169,275,331,970,962,606,824,342,808,765,339,927,557,213,
224,178,697,836,505,967,362,018,723,593,891,716,394,077,278,141,369,502,534,
172,410,423,970,825,963,007,374,456,144,163,097,548,049,995,821,246,849,141,
816,069,703,945,911,194,251,800,137,768,239,937,940,089,289,290,634,148,181,
508,967,089,360,024,850,216,439,772,895,794,995,200,453,182,962,258,434,920,
041,211,478,813,153,255,962,211,860,841,043,668,004,007,322,390,956,104,946,
726,082,430,427,708,572,952,096,370,716,410,930,339,649,069,553,516,117,198,
695,447,215,942,883,070,115,335,406,515,303,363,502,165,455,253,896,388,878,
651,293,301,725,750,390,401,629,041,661,741,391,588,066,952,352,279,484,500,
843,252,326,936,435,604,672,885,178,696,035,718,419,445,741,877,049,375,166,
778,552,111,685,852,280,336,664,756,308,255,111,008,788,263,888,268,643,745,
766,368,702,281,312,859,356,569,893,108,141,859,274,889,585,791,544,575,906,
911,612,770,862,605,559,451,547,866,947,616,505,368,889,364,787,949,183,843,
646,633,860,473,076,415,467,825,162,824,763,089,065,373,349,221,068,710,348,
266,230,639,465,166,814,841,016,154,527,123,832,440,887,402,049,268,987,109,
753,494,664,032,037,669,458,051,607,441,994,794,649,717,833,787,121,135,263,
896,948,288,642,573,896,682,598,984,398,408,701,534,018,811,055,360,513,653,
347,139,101,366,517,216,993,263,218,937,773,979,810,430,699,606,370,337,078,
715,660,308,075,049,965,355,672,798,084,830,438,839,235,154,466,468,491,787,
060,911,916,222,339,427,351,742,233,363,704,668,419,294,312,735,195,283,913,
482,034,504,183,626,791,838,673,997,086,894,428,461,894,028,678,270,026,222,
344,649,052,846,373,079,434,066,071,915,157,563,427,734,338,622,711,810,978,
388,238,042,980,052,201,196,221,860,964,874,945,132,949,394,698,609,507,166,
684,221,598,319,593,411,965,606,733,698,477,154,693,367,711,057,235,301,931,
402,907,114,062,579,473,535,016,151,143,842,591,909,055,929,915,299,363,519,
851,191,438,171,506,380,246,085,001,170,891,176,499,718,479,902,281,012,010,
522,566,401,614,405,075,065,947,113,209,303,220,548,295,944,957,762,837,701,
486,413,487,334,800,914,960,220,897,151,100,557,996,278,650,920,316,121,534,
695,004,392,966,833,009,814,467,659,315,780,460,414,921,084,325,274,750,634,
839,694,443,761,909,932,459,169,301,961,856,823,496,861,911,923,875,218,223,
447,652,087,254,491,367,045,524,530,954,331,967,491,440,643,480,636,583,535,
074,305,239,522,201,159,652,585,091,107,960,565,076,844,925,893,483,076,038,
228,585,986,517,075,858,804,262,774,048,852,001,784,938,549,499,764,255,226,
616,520,186,190,994,880,287,611,145,100,443,010,015,843,246,070,484,261,451,
780,630,045,147,422,149,014,108,789,452,951,085,512,984,158,089,966,606,361,
536,294,237,816,189,754,139,251,362,735,148,099,406,642,301,666,777,425,134,
281,445,306,329,452,613,227,564,695,424,081,162,974,349,910,357,095,664,459,
772,008,731,690,899,639,923,703,369,037,640,525,026,632,632,412,142,250,949,
858,590,824,322,126,209,049,437,206,599,573,713,855,572,504,684,053,930,438,
034,209,858,275,999,902,970,760,992,336,296,308,521,073,201,331,351,343,130,
897,665,894,426,986,039,007,088,845,023,743,253,609,545,336,916,455,070,987,
748,590,711,332,564,621,138,392,710,845,877,580,350,461,654,488,487,035,004,
114,585,445,354,159,517,735,437,049,210,617,287,466,102,446,684,013,907,273,
930,166,120,936,890,940,829,863,121,018,814,337,415,907,409,955,163,420,982,
058,049,616,127,983,448,710,136,931,637,835,628,803,475,417,558,808,507,950,
024,158,676,520,351,326,642,950,407,761,302,321,261,971,982,874,020,462,767,
244,284,097,310,611,852,240,562,396,071,651,946,578,963,642,717,717,428,176,
461,053,305,466,609,650,862,440,259,322,210,228,266,053,201,309,998,127,041,
054,557,676,403,864,008,029,943,002,008,979,035,109,474,358,683,241,127,830,
965,151,939,714,082,138,073,532,891,984,685,222,766,609,990,447,580,428,117,
173,800,138,801,372,878,848,768,813,822,525,530,269,129,400,580,879,984,933,
776,786,854,365,869,771,030,710,704,978,304,781,455,644,758,427,076,486,414,
886,169,993,929,541,593,509,182,138,348,300,288,096,914,317,442,114,954,065,
454,027,356,993,911,563,398,827,813,537,170,975,469,236,706,456,765,711,358,
636,005,143,243,836,951,991,916,258,575,100,955,267,783,581,950,142,998,244,
854,393,989,018,857,011,180,961,000,237,252,966,421,491,879,403,912,018,754,
573,626,630,284,584,035,094,608,161,792,060,224,638,321,651,378,899,749,594,
200,384,942,319,378,119,027,080,362,999,831,265,424,818,071,713,345,603,052,
513,375,577,635,516,138,883,315,858,563,152,655,487,871,267,820,729,579,841,
268,115,218,849,539,778,507,045,028,613,134,832,304,740,020,345,316,181,693,
205,153,328,596,104,134,681,077,984,661,998,687,492,544,025,775,525,659,785,
883,348,179,413,783,061,255,919,547,283,168,027,588,820,446,273,080,240,478,
523,438,113,154,616,221,506,910,121,113,954,580,276,836,858,369,388,296,002,
169,682,914,757,834,564,151,138,885,252,004,730,885,094,310,986,102,778,026,
582,132,577,682,480,709,659,304,571,461,028,402,347,912,099,399,939,224,686,
406,331,921,949,305,070,819,480,932,240,630,845,190,652,445,121,780,766,355,
919,982,305,916,207,968,607,421,642,694,887,985,602,204,539,958,091,179,786,
041,371,041,770,655,633,303,511,072,300,483,349,220,972,942,404,443,161,647,
882,808,306,185,527,786,053,434,292,115,248,468,550,130,995,551,003,972,220,
240,629,939,212,516,561,143,730,616,955,992,457,323,359,738,333,565,780,736,
438,343,226,584,953,883,540,146,509,159,368,246,817,687,505,076,816,457,505,
901,008,300,454,064,867,392,705,454,954,218,969,801,407,795,522,045,922,370,
822,178,651,517,376,244,307,077,414,325,143,652,385,040,320,707,897,065,624,
872,662,701,992,544,028,256,765,979,448,429,046,415,501,452,228,069,861,238,
094,822,971,975,970,690,884,093,946,312,165,972,310,752,314,262,001,737,882,
090,319,479,362,509,079,923,609,659,895,744,100,928,696,503,191,133,621,984,
178,420,675,812,861,412,389,804,739,327,407,943,728,542,924,360,982,615,263,
379,882,275,991,126,039,256,599,168,729,173,716,941,262,062,521,814,618,937,
252,592,206,810,457,176,001,297,255,866,197,345,385,800,620,626,903,356,973,
903,648,429,238,321,673,956,923,642,339,383,977,971,121,182,095,599,228,046,
680,868,880,651,434,088,439,093,339,872,414,305,527,732,572,403,529,771,565,
946,863,355,547,539,597,720,861,450,378,586,913,760,834,381,761,734,424,242,
274,581,975,632,352,710,377,986,330,286,434,349,012,414,762,637,839,025,533,
373,555,852,074,619,047,077,096,837,105,598,459,080,664,314,013,731,770,202,
328,634,998,752,010,872,136,560,490,055,426,451,171,128,460,810,930,722,432,
661,563,093,813,260,395,206,999,971,812,307,364,492,271,781,810,072,366,072,
414,398,482,181,122,995,842,885,405,233,148,224,747,016,332,077,480,667,574,
682,476,928,805,212,800,785,705,510,805,677,138,790,508,923,150,104,784,693,
608,221,554,561,327,390,922,286,293,150,563,624,645,719,268,742,128,981,863,
992,985,186,652,385,505,082,168,781,691,782,907,987,596,676,733,251,017,496,
182,878,602,835,053,360,825,687,433,349,425,014,803,081,256,511,694,199,129,
348,402,524,163,559,361,583,729,244,212,054,561,998,384,613,171,521,752,773,
562,832,801,503,721,452,998,799,414,080,065,423,275,678,789,722,344,240,182,
206,701,554,140,280,482,543,398,275,072,455,576,437,360,086,179,310,456,822,
559,065,538,624,389,144,848,386,835,464,785,348,585,184,953,377,257,254,805,
688,449,990,077,943,244,624,030,022,032,641,581,310,170,964,902,867,905,470,
175,062,282,356,735,803,496,970,133,575,718,749,749,471,709,776,434,641,571,
309,236,951,313,980,705,349,322,739,084,338,987,445,677,961,092,334,728,887,
452,029,902,071,590,957,538,366,793,084,858,689,935,441,178,758,419,078,648,
827,261,046,716,211,146,414,012,301,506,176,500,406,059,589,811,789,539,376,
630,063,676,133,965,123,918,301,112,869,684,909,175,367,441,804,495,852,461,
579,008,654,106,890,119,564,042,446,688,385,242,099,600,918,919,690,128,933,
385,177,444,018,000,628,806,224,970,129,026,105,941,653,526,638,567,772,720,
977,654,639,204,413,281,549,816,286,948,392,591,954,223,517,328,148,814,956,
903,895,285,584,400,431,662,900,194,032,887,891,827,751,521,800,778,648,694,
466,693,514,640,853,043,055,772,810,291,403,528,013,945,421,990,833,790,779,
583,485,381,298,280,708,948,976,728,773,136,383,222,014,718,425,301,684,525,
516,787,667,468,529,634,207,316,649,786,478,461,467,739,240,953,662,287,211,
992,465,709,358,532,684,267,157,072,249,197,224,489,713,970,602,705,605,178,
287,005,031,962,081,001,492,498,737,681,642,800,393,107,746,354,780,172,712,
527,572,492,611,842,065,691,146,137,227,711,575,886,626,401,825,241,136,211,
558,097,000,794,524,392,440,092,622,609,468,597,643,966,814,392,538,080,219,
009,588,614,965,906,782,797,879,880,596,570,015,293,314,466,234,546,307,010,
514,312,045,689,188,470,899,987,470,907,445,804,300,842,800,781,096,993,997,
847,233,298,636,554,656,087,654,159,435,713,736,164,944,467,788,891,884,321,
844,912,618,130,130,263,775,837,413,558,328,094,800,005,028,975,183,718,754,
992,899,529,762,650,963,149,573,568,841,283,594,172,949,530,100,791,410,291,
485,413,016,754,850,372,611,493,250,703,094,706,442,750,729,336,536,741,707,
134,934,530,397,988,382,129,252,512,815,413,809,617,323,351,987,947,214,181,
486,979,893,352,918,938,311,508,812,986,714,159,584,478,133,665,389,166,419,
909,043,738,986,357,685,900,745,520,827,078,587,899,263,734,778,946,308,116,
620,575,144,464,601,377,331,586,463,910,575,590,229,580,324,764,803,598,802,
746,693,847,627,374,468,160,295,984,533,937,446,356,368,726,651,838,368,982,
458,842,983,302,505,012,866,480,888,697,912,317,139,876,155,085,781,903,131,
829,403,898,396,639,500,840,176,814,153,956,353,828,895,523,270,540,015,445,
795,422,197,683,588,971,259,612,851,432,562,674,194,137,309,433,028,308,676,
305,509,987,284,830,756,326,706,999,339,915,998,124,685,430,431,753,177,597,
797,553,984,346,180,464,560,807,333,009,169,150,562,389,053,490,638,258,419,
548,710,592,811,141,109,130,887,985,217,257,851,209,765,556,803,773,224,638,
582,159,872,180,247,210,320,516,139,845,888,616,836,115,056,005,707,642,126,
699,072,304,297,379,642,154,006,778,582,894,715,888,175,692,040,763,550,044,
624,220,435,190,298,230,701,881,046,588,062,755,915,468,825,100,923,859,127,
498,929,190,913,182,649,017,039,153,004,166,106,482,353,776,513,471,228,079,
246,207,414,614,759,482,892,801,470,410,858,609,656,223,509,758,498,407,598,
547,931,879,400,971,224,384,019,045,007,489,865,982,016,814,307,573,044,387,
830,452,378,115,813,135,862,757,046,874,669,728,260,988,968,902,864,422,917,
408,831,707,037,178,879,866,860,466,157,772,580,778,983,839,930,598,727,292,
113,642,468,288,343,414,713,829,401,417,118,442,703,664,067,468,399,753,555,
632,473,048,398,497,591,166,744,894,312,306,091,731,345,116,871,205,725,812,
049,571,451,873,949,203,806,630,443,145,761,132,082,577,118,558,384,492,196,
432,806,247,917,735,673,653,746,113,875,200,823,994,313,335,207,298,252,493,
666,711,937,968,297,041,339,241,167,999,474,148,242,277,987,962,581,492,161,
708,021,046,111,341,711,276,085,239,783,153,778,309,528,012,515,218,546,446,
466,609,390,739,690,595,414,650,598,750,165,287,411,489,347,800,011,619,288,
350,394,551,840,611,496,768,241,688,103,147,020,166,802,937,858,098,627,267,
832,018,280,184,073,816,159,655,779,680,541,737,625,176,806,691,924,229,129,
426,266,411,290,610,853,381,465,146,067,150,279,085,733,056,563,514,498,123,
298,168,404,483,935,818,118,737,802,759,524,758,620,376,000,680,124,910,854,
306,722,757,939,117,418,796,790,299,491,581,178,608,248,057,251,395,326,295,
658,897,776,626,035,925,741,688,970,820,460,177,339,427,216,292,470,434,111,
846,319,186,800,449,366,293,880,039,878,650,219,952,295,256,701,414,097,760,
237,229,516,198,887,838,997,361,301,451,530,966,224,424,382,268,194,567,084,
508,302,559,363,423,113,194,909,295,457,667,422,749,811,958,749,095,244,682,
034,898,426,100,464,974,246,018,216,938,373,950,681,021,985,670,459,436,632,
421,383,465,708,451,218,227,226,577,193,015,464,660,420,583,677,269,198,052,
332,697,324,393,230,663,119,902,840,440,337,752,961,900,322,129,876,944,176,
757,687,657,889,633,773,118,669,481,824,900,060,217,364,335,056,258,055,566,
927,194,056,784,516,124,040,043,958,003,162,686,187,576,104,591,115,471,393,
882,490,808,040,158,230,017,677,555,122,548,352,913,743,397,749,612,450,297,
833,330,686,717,407,193,141,823,987,252,062,465,614,107,209,771,022,458,340,
344,354,843,864,155,107,992,107,693,534,416,232,729,891,185,318,884,527,395,
798,964,916,100,335,309,894,252,067,937,373,994,489,823,255,233,032,436,469,
112,147,943,325,238,346,041,566,721,977,128,854,892,817,088,736,365,356,346,
316,599,691,353,461,819,770,137,135,186,371,601,406,082,521,326,203,213,044,
783,341,374,315,744,253,490,696,557,807,188,709,804,753,839,130,993,723,252,
716,233,176,596,294,030,224,423,902,932,360,888,091,432,334,794,498,477,342,
236,837,526,998,239,317,435,708,300,530,679,050,643,785,916,671,998,771,681,
406,733,617,176,099,501,352,711,856,378,528,177,841,038,142,143,116,807,828,
936,245,681,491,290,552,256,231,690,904,467,525,596,545,951,287,479,161,456,
030,006,384,498,200,149,106,844,040,074,232,176,975,297,614,304,213,598,746,
028,968,101,988,338,550,159,700,364,956,954,142,057,306,715,143,266,903,126,
163,300,337,515,871,249,370,918,891,600,557,461,119,903,861,142,133,738,949,
063,577,665,109,876,844,557,783,805,572,850,440,718,088,759,635,826,268,652,
908,643,739,798,287,926,894,331,136,097,098,519,674,310,104,474,871,432,830,
113,599,482,426,642,979,528,725,972,457,021,886,910,719,511,411,969,152,568,
914,576,614,765,338,941,469,422,369,891,739,676,396,103,588,136,800,122,555,
023,006,593,702,980,038,926,748,013,322,969,349,635,177,449,305,279,027,950,
834,148,771,655,588,550,411,535,233,843,234,044,896,781,978,797,910,176,704,
795,513,428,822,127,804,478,914,666,158,511,041,259,214,929,202,625,967,915,
917,236,077,471,200,230,072,211,064,044,828,672,007,491,380,093,184,712,818,
741,200,610,710,884,795,512,676,160,787,012,332,529,083,901,095,039,185,534,
587,526,941,581,079,452,774,700,587,402,915,798,957,860,831,865,884,921,361,
912,200,574,028,919,604,266,183,625,462,165,645,689,925,627,134,880,803,815,
171,171,685,064,268,321,478,849,586,899,379,188,564,165,594,530,080,642,142,
394,472,171,538,801,234,142,645,371,065,961,281,347,643,542,306,510,896,470,
502,563,869,750,279,027,212,739,301,873,006,874,594,302,927,780,752,236,237,
761,357,760,445,848,082,101,501,270,365,132,659,431,798,649,908,279,060,169,
331,469,508,893,200,628,459,137,357,173,282,246,479,741,127,290,425,752,193,
685,479,408,466,450,857,605,761,847,593,929,087,344,805,668,446,786,662,826,
566,630,046,737,065,057,343,347,311,235,195,591,408,162,961,113,785,118,007,
411,602,001,494,694,204,728,295,361,876,449,900,668,515,469,777,413,717,596,
013,464,689,745,586,241,130,795,413,161,207,574,651,860,562,028,584,933,674,
439,823,104,403,997,130,293,835,456,044,212,042,993,902,882,606,614,548,796,
087,623,423,099,520,381,248,749,391,456,948,441,112,210,475,846,955,348,432,
795,567,654,591,412,839,252,088,515,370,932,468,965,404,721,108,859,290,633,
164,535,467,342,635,548,551,805,003,472,043,351,070,424,806,724,279,767,096,
035,573,596,775,387,908,950,811,196,029,809,154,110,250,070,557,472,857,201,
235,159,437,876,880,814,878,984,713,597,917,425,936,515,371,776,425,927,216,
839,788,913,544,766,171,889,887,421,227,652,086,703,456,041,128,461,285,935,
900,904,793,794,696,250,712,439,530,651,618,919,560,808,636,018,486,496,269,
967,442,866,375,887,452,877,508,983,745,431,941,711,135,045,000,348,669,149,
004,168,986,182,186,419,979,389,730,820,933,349,743,602,789,117,201,474,017,
962,644,309,882,958,299,599,139,357,882,145,322,994,488,797,991,009,554,893,
741,809,418,718,078,400,214,364,885,328,176,836,797,297,280,904,046,151,638,
291,067,212,932,390,259,942,957,253,409,305,440,800,884,000,201,802,552,734,
974,495,925,960,402,670,844,471,834,148,530,363,544,181,325,116,550,558,802,
320,888,806,998,989,536,027,362,189,031,664,897,564,628,372,523,191,329,960,
101,299,662,413,433,890,783,390,297,469,737,307,334,004,315,926,221,369,044,
841,698,148,435,209,087,767,412,917,748,384,515,530,488,615,418,671,479,724,
237,059,513,565,837,100,342,955,252,652,064,892,376,782,396,663,069,697,488,
160,118,922,014,755,982,665,911,235,860,185,611,204,706,996,393,686,595,392,
002,152,203,480,809,019,752,582,598,264,987,561,551,263,346,719,545,553,506,
375,987,510,294,093,451,309,475,174,908,522,794,174,417,958,686,119,668,257,
361,055,865,277,211,607,177,764,844,871,135,053,762,227,793,758,811,329,825,
952,241,417,258,513,976,310,214,757,159,212,099,783,118,813,609,482,742,688,
451,004,568,559,984,229,994,011,844,509,568,452,630,365,497,171,333,596,882,
833,248,474,649,061,104,698,338,361,153,793,302,714,815,715,814,452,785,031,
109,506,201,278,307,223,192,573,886,271,473,377,935,066,358,526,396,840,080,
284,264,601,145,436,594,902,401,114,980,527,610,240,933,977,580,761,666,810,
248,775,487,870,748,601,694,681,665,623,519,683,247,072,425,508,114,136,656,
666,825,853,343,943,973,431,821,361,802,183,271,676,910,969,037,166,255,587,
592,102,807,988,036,308,619,518,446,104,806,232,306,333,485,342,646,314,890,
695,065,106,652,535,144,684,611,590,412,620,590,032,181,102,483,032,801,215,
945,525,175,173,099,161,733,154,420,440,205,305,163,449,519,271,107,556,189,
802,303,163,132,565,043,240,384,665,923,872,995,368,864,793,027,790,699,019,
598,514,954,293,509,610,380,768,212,956,536,235,074,396,883,254,363,859,270,
869,166,105,423,968,826,040,874,455,088,313,872,576,345,147,254,010,945,441,
893,560,472,100,075,312,050,107,208,729,692,282,775,737,472,759,702,234,835,
363,307,207,787,759,828,842,844,730,140,835,508,487,589,363,805,938,389,412,
775,776,048,250,067,853,780,770,807,853,909,829,372,761,348,050,006,337,868,
839,485,748,964,763,450,667,104,421,758,256,010,655,724,570,856,288,824,659,
262,747,003,642,586,218,677,296,869,280,259,541,957,477,079,368,142,992,226,
260,048,540,046,277,962,244,225,894,251,037,890,842,804,352,866,756,516,614,
439,021,634,722,090,939,205,048,454,218,216,102,288,150,363,831,494,139,602,
444,929,619,842,517,662,533,815,154,429,117,756,928,712,001,377,420,382,745,
956,963,331,611,360,534,149,874,926,384,645,345,283,401,122,003,616,149,257,
373,984,831,817,186,074,520,222,348,043,747,044,320,278,208,801,558,640,136,
401,211,425,095,477,183,438,144,838,999,690,972,473,173,785,636,145,023,991,
828,370,494,843,040,359,012,350,901,746,921,442,781,994,756,845,129,099,373,
289,692,146,609,234,048,436,498,412,838,300,919,755,352,472,871,384,826,893,
901,955,885,165,844,062,336,621,703,110,512,618,776,935,151,278,395,666,541,
208,128,208,913,825,793,426,227,902,780,261,176,013,374,547,979,995,108,800,
387,968,194,601,870,295,819,963,078,370,257,399,841,011,231,419,588,258,787,
778,297,548,678,712,557,090,142,312,329,588,910,625,752,716,632,050,609,930,
321,015,152,936,299,902,324,928,932,353,916,747,267,613,832,023,423,942,157,
070,090,632,609,483,676,594,600,092,511,359,170,745,621,657,832,597,145,558,
753,933,778,565,775,512,678,701,093,312,873,502,204,590,706,145,660,396,240,
536,438,368,483,957,916,062,503,107,976,834,792,488,792,872,533,587,872,950,
209,898,450,761,971,943,816,354,155,588,674,783,444,439,115,413,237,171,485,
432,093,124,125,984,342,170,633,303,295,102,370,301,501,217,204,507,573,914,
185,649,579,804,399,544,516,635,513,927,852,664,435,368,201,593,788,210,380,
800,676,574,958,055,546,338,978,784,488,374,620,097,291,447,171,416,393,243,
031,495,417,600,860,044,825,919,223,920,145,101,050,013,110,901,349,614,948,
184,275,826,381,946,383,975,845,679,310,433,658,174,442,854,140,973,104,971,
752,994,802,657,608,119,175,590,436,766,444,976,705,766,095,363,587,161,503,
291,817,037,170,454,616,903,978,674,869,720,654,157,258,872,369,774,472,240,
336,341,321,294,061,694,245,061,758,740,714,006,553,210,987,942,673,091,850,
238,658,063,154,616,439,549,902,856,184,721,800,339,289,495,179,780,293,644,
070,750,028,002,667,223,524,075,957,216,513,012,165,787,791,679,446,339,947,
570,239,798,762,846,879,215,369,781,224,574,847,669,065,862,393,785,047,322,
787,404,270,395,285,877,687,715,212,130,587,818,480,032,165,845,012,183,690,
312,798,328,619,114,227,303,935,073,660,936,090,968,028,614,845,516,581,636,
115,663,384,434,292,973,378,391,908,917,509,827,808,769,471,160,031,182,328,
351,040,858,897,048,829,891,670,191,759,144,009,151,734,043,133,459,672,160,
566,950,673,088,329,153,195,703,754,887,152,798,641,223,460,262,068,813,749,
831,198,118,972,202,647,687,543,151,282,082,009,043,407,969,664,324,711,512,
347,472,543,872,835,902,224,608,607,931,354,667,527,321,300,613,623,113,908,
984,465,388,097,696,681,044,559,910,693,418,775,011,980,980,412,455,840,012,
067,914,248,592,322,743,948,300,212,528,475,643,706,913,901,335,731,793,143,
446,838,926,800,920,771,888,091,424,426,728,756,268,319,055,569,385,186,063,
525,892,531,552,566,415,286,350,577,963,531,927,904,023,467,575,208,718,014,
850,946,461,549,118,911,409,087,152,697,119,698,774,727,559,076,497,217,072,
227,435,883,546,568,520,245,680,982,888,593,913,568,927,555,347,677,561,235,
082,424,889,776,513,922,149,911,553,710,584,077,200,487,896,343,400,594,185,
984,434,278,664,406,639,633,729,248,410,454,755,729,399,780,011,674,733,021,
864,447,176,563,975,544,221,927,365,065,783,842,011,233,944,308,815,212,758,
901,995,526,123,698,784,219,225,255,915,466,619,293,982,780,395,030,404,541,
764,152,368,073,256,392,588,424,584,241,361,290,688,328,952,581,256,276,699,
666,997,229,579,751,545,433,659,753,618,213,368,045,113,272,055,719,543,230,
239,391,416,234,855,363,405,606,829,072,228,014,662,291,729,562,265,633,482,
026,302,725,174,333,114,432,587,557,738,667,896,927,154,524,249,868,760,752,
895,030,326,995,452,356,498,466,229,269,294,316,690,151,509,013,599,214,587,
500,333,768,499,941,086,887,263,152,066,645,342,090,807,340,766,105,204,463,
027,202,242,892,882,109,066,447,427,128,108,830,214,823,457,146,618,529,060,
076,035,114,661,887,163,573,833,760,125,817,378,210,913,967,072,598,189,640,
538,231,447,221,684,474,309,408,149,710,118,857,742,893,648,688,977,990,440,
613,916,601,387,693,349,846,409,881,224,397,908,505,681,952,849,292,315,082,
612,799,376,974,108,323,213,347,672,719,542,570,901,930,562,574,829,790,903,
737,011,525,179,091,998,756,135,552,028,227,066,853,671,424,132,100,926,654,
503,993,518,043,307,601,019,995,887,390,154,714,420,621,254,645,187,764,531,
679,992,080,090,138,928,506,559,376,965,665,343,439,058,082,995,237,903,353,
724,192,764,005,735,722,373,043,185,900,034,288,279,208,714,145,799,224,438,
985,592,931,386,722,315,276,129,453,393,346,153,143,946,192,358,331,945,250,
477,009,345,658,754,482,386,978,526,015,695,945,900,311,151,192,764,933,678,
473,181,077,980,896,544,418,053,179,804,981,619,808,669,985,654,274,757,622,
857,987,308,025,485,723,933,350,341,391,523,862,825,899,750,496,967,436,636,
859,784,067,921,400,542,075,035,115,714,064,948,822,321,134,825,323,291,965,
606,931,062,771,518,772,839,674,582,993,359,852,795,402,293,178,115,462,345,
865,908,763,326,343,036,911,167,014,483,364,251,818,921,612,532,718,015,389,
025,973,355,540,258,538,199,716,527,040,836,332,997,557,647,476,587,250,541,
004,444,163,154,598,493,405,488,105,513,928,981,051,018,105,470,407,374,351,
855,968,161,165,252,958,607,040,245,234,208,804,882,352,138,440,441,600,144,
415,653,317,075,237,482,899,136,749,050,999,849,318,794,486,300,920,126,212,
291,045,841,688,571,835,375,736,294,482,265,691,127,780,284,376,306,467,953,
903,939,642,513,871,895,452,540,847,109,762,871,670,002,044,548,308,380,653,
016,683,306,256,837,458,517,707,038,597,037,802,642,411,732,617,602,654,854,
679,584,828,660,457,965,308,356,189,325,781,606,335,411,864,198,952,459,929,
593,462,552,993,550,168,101,169,075,037,466,861,170,698,985,694,566,063,896,
154,453,747,789,023,346,440,789,253,638,940,719,798,644,992,265,230,982,376,
264,558,921,832,274,277,886,902,552,557,576,087,248,828,415,060,423,317,488,
697,726,538,548,547,316,843,975,399,392,461,117,296,127,911,799,573,327,759,
998,545,270,447,066,426,854,024,822,876,155,577,934,730,601,540,655,315,145,
831,844,460,619,192,006,798,456,374,029,190,510,640,035,257,020,704,466,107,
648,722,588,721,744,052,069,701,339,356,193,962,563,935,906,353,551,495,409,
544,804,685,436,152,715,258,670,806,247,630,056,211,143,563,729,533,067,776,
628,658,481,992,216,528,958,001,473,735,618,486,948,238,265,406,641,218,041,
940,507,798,324,196,644,103,110,191,082,112,037,315,329,509,246,077,615,136,
308,711,260,692,422,049,508,527,588,669,871,168,321,807,823,264,569,092,350,
592,426,557,957,567,551,995,474,569,922,830,768,293,020,327,675,367,026,386,
415,199,688,898,184,339,862,676,664,729,566,884,934,229,139,952,705,384,270,
534,296,895,050,349,045,601,261,648,990,988,838,668,873,313,772,320,096,178,
155,371,019,494,496,483,806,627,614,883,437,990,131,988,402,246,387,312,927,
899,811,603,023,462,803,066,131,026,772,313,105,861,493,272,498,718,234,732,
920,998,595,232,649,417,642,406,224,733,655,804,019,584,492,963,269,330,352,
837,990,727,839,391,464,850,928,303,279,075,276,943,082,854,877,975,565,393,
301,422,908,797,315,282,586,271,807,607,617,160,040,838,147,666,848,479,868,
314,582,751,709,910,727,545,437,542,378,464,409,305,468,295,898,105,345,754,
397,568,488,995,409,256,399,688,572,693,852,777,497,143,478,811,615,398,288,
212,930,658,695,290,353,922,876,818,221,367,765,295,585,932,691,739,626,364,
364,674,446,753,240,792,532,648,498,749,093,813,691,066,610,995,799,941,445,
068,884,525,941,590,985,959,801,027,343,434,548,996,490,783,517,507,518,186,
598,364,053,711,738,662,455,734,344,210,311,908,299,929,375,634,712,196,678,
794,139,446,816,005,694,893,740,518,358,969,389,039,299,347,888,914,112,194,
562,167,000,701,947,702,319,977,612,613,272,432,649,534,640,838,498,167,474,
182,702,298,837,328,184,902,846,792,070,844,348,301,093,340,351,446,253,598,
819,130,971,918,580,577,200,645,128,120,938,922,700,194,333,813,702,994,145,
995,087,037,365,801,771,667,948,273,552,814,515,683,916,376,536,741,305,072,
953,306,373,711,176,784,278,198,597,352,344,145,528,197,394,863,420,549,880,
009,166,511,069,126,054,805,731,889,926,529,829,326,354,991,683,918,584,709,
816,620,346,273,054,693,770,256,711,197,152,851,690,283,799,750,092,581,999,
886,740,429,839,624,821,071,287,160,155,626,967,739,906,919,742,513,841,314,
043,910,266,995,945,037,614,830,479,301,606,130,302,187,774,990,201,345,517,
060,475,269,997,392,118,798,967,709,187,487,394,841,488,058,604,174,634,469,
393,743,759,473,587,230,596,637,538,310,637,495,542,407,222,588,008,811,484,
743,925,660,000,964,450,562,089,319,767,956,835,410,568,609,145,040,797,118,
357,587,271,386,975,554,571,437,633,108,571,006,299,129,653,952,734,115,521,
515,296,870,011,826,281,939,875,599,494,304,285,854,376,631,806,028,909,779,
749,145,662,707,554,434,163,711,102,186,744,319,851,466,863,049,497,907,839,
253,328,820,991,828,921,314,760,538,817,402,859,730,589,527,019,974,460,424,
772,517,260,373,727,096,216,392,942,552,309,409,282,178,524,897,633,927,909,
583,059,857,966,119,348,912,678,811,364,061,734,471,119,319,272,787,511,796,
333,144,827,369,678,698,571,335,213,087,338,255,593,992,273,178,992,200,628,
378,744,054,761,377,612,596,587,506,621,436,744,693,789,457,336,092,704,915,
818,274,579,477,812,927,158,292,183,773,299,788,047,831,634,545,736,590,167,
019,633,281,182,014,130,736,816,514,871,980,935,002,192,214,337,311,951,621,
367,787,013,853,645,541,158,971,594,158,256,705,763,105,043,195,995,393,769,
044,607,732,068,014,326,921,402,953,432,695,164,711,279,294,642,726,780,204,
876,193,123,908,274,727,953,356,330,483,745,620,348,652,032,230,809,551,574,
902,596,900,835,297,600,703,600,415,882,391,445,488,347,246,978,730,428,811,
871,602,146,712,997,139,767,003,506,061,723,241,492,796,757,719,114,720,413,
631,683,517,980,433,673,570,938,529,185,580,001,561,604,033,752,087,697,241,
750,711,889,816,136,281,275,257,308,738,967,319,271,746,225,847,861,279,883,
716,860,174,870,397,642,528,647,290,934,344,038,070,999,437,843,471,075,065,
459,072,061,138,058,523,790,950,978,494,138,172,737,113,327,029,314,336,333,
175,653,620,388,168,787,476,482,184,694,831,199,665,829,553,493,191,376,496,
535,442,675,514,750,647,522,296,508,481,998,548,679,727,999,332,614,837,797,
862,834,533,805,308,982,130,811,970,185,942,352,813,582,110,454,012,918,089,
069,137,167,530,597,287,779,550,199,039,563,550,314,216,220,136,138,243,971,
353,724,263,907,281,751,560,751,368,176,950,714,392,416,323,859,602,899,952,
849,755,443,698,211,678,376,877,005,825,846,079,712,666,497,852,774,203,473,
238,183,241,250,624,026,872,273,809,585,056,651,772,368,408,395,030,364,457,
954,156,182,282,365,466,662,039,497,761,712,058,201,316,147,151,875,329,724,
628,094,346,104,291,659,416,406,418,811,301,656,822,672,944,114,149,052,448,
590,964,737,873,234,958,615,737,521,040,439,278,706,741,155,377,963,966,849,
321,680,039,865,800,681,424,648,584,527,040,012,811,893,497,305,449,969,875,
266,881,619,045,166,468,992,450,704,471,887,671,705,405,889,112,662,534,514,
053,517,919,403,253,451,718,804,475,302,207,838,249,538,939,885,256,793,718,
532,528,326,126,642,273,062,854,413,729,244,080,812,309,822,403,884,070,130,
193,792,563,667,757,898,844,963,256,249,912,108,913,542,207,378,009,068,240,
184,300,439,098,720,594,506,979,364,541,153,994,316,676,114,755,300,921,460,
771,437,324,867,424,294,701,655,978,228,637,488,138,127,877,644,124,516,680,
506,788,542,548,005,339,727,219,099,167,382,227,765,597,609,331,677,214,105,
558,698,379,502,866,743,308,815,973,629,326,238,520,632,490,830,172,245,463,
975,358,563,961,595,382,685,268,824,332,562,721,961,126,682,914,017,438,832,
597,256,591,934,451,622,944,830,093,244,593,070,039,588,727,978,761,617,874,
775,197,675,170,171,384,899,727,594,360,875,552,078,650,274,630,322,242,835,
526,210,239,099,817,176,254,139,059,223,215,439,176,682,459,885,117,173,106,
956,630,880,820,652,464,696,558,326,155,141,365,404,334,214,094,462,111,205,
408,257,653,340,165,730,031,998,756,762,181,816,100,637,146,264,702,780,770,
892,358,897,301,640,108,261,410,959,091,927,449,071,757,905,573,289,945,191,
495,491,327,080,549,200,939,581,621,271,040,393,187,782,186,535,938,600,567,
262,371,175,984,824,519,351,975,664,659,153,792,871,563,294,162,520,679,815,
839,313,676,614,887,210,140,759,716,610,191,909,733,949,925,508,603,190,756,
796,893,159,661,722,310,231,674,398,704,740,640,501,866,914,673,590,424,927,
917,471,077,719,246,817,283,005,115,322,570,949,845,217,221,759,351,677,926,
431,631,195,301,414,161,481,427,819,871,084,073,031,750,962,682,178,101,801,
302,780,856,255,833,622,166,294,081,173,208,386,685,229,406,824,764,098,924,
862,977,898,538,486,435,026,686,698,813,872,449,136,486,589,986,866,790,752,
626,264,190,210,939,526,835,889,475,597,536,688,402,718,371,716,877,569,318,
007,446,159,428,000,050,378,496,900,901,072,789,168,540,835,816,115,443,267,
340,962,880,381,274,719,080,650,571,148,558,167,485,624,386,313,599,617,642,
886,257,329,308,341,870,072,366,433,345,058,981,036,985,163,961,238,827,063,
879,381,479,985,499,537,867,581,461,075,525,745,571,754,902,684,152,924,462,
917,941,648,804,656,037,335,909,090,578,297,559,731,569,564,165,922,679,002,
793,964,798,324,043,583,156,890,477,760,784,035,733,552,312,901,392,256,608,
259,676,563,471,800,742,113,226,505,987,694,404,668,801,424,836,759,440,784,
182,240,735,565,187,938,532,135,948,944,546,048,145,723,102,644,863,310,425,
651,302,929,005,011,731,889,175,757,965,429,936,338,625,793,419,232,051,856,
661,050,513,346,543,226,168,782,920,269,207,569,263,060,137,638,772,959,027,
802,491,135,362,451,645,965,351,405,507,178,288,616,246,612,240,764,341,779,
633,695,112,344,893,010,677,015,850,059,423,338,703,668,930,170,339,874,964,
198,315,343,090,447,138,426,943,857,682,691,191,093,955,532,468,518,283,946,
473,632,917,409,553,495,691,522,608,010,933,020,110,312,310,793,018,328,060,
469,955,283,747,473,507,423,723,358,487,661,983,005,665,860,116,326,065,211,
666,933,007,755,631,867,175,703,703,048,247,448,834,122,283,156,750,383,030,
922,577,662,833,955,188,543,992,494,745,208,527,591,149,559,939,189,786,239,
575,205,432,036,329,762,255,528,112,293,536,495,430,546,747,459,178,118,767,
243,604,598,457,933,878,898,067,702,434,655,713,938,768,797,941,524,458,065,
670,802,042,163,430,378,045,346,943,699,165,559,471,978,127,962,792,999,112,
850,260,470,173,224,166,900,701,241,618,273,493,745,349,411,159,056,128,780,
503,026,284,290,436,094,725,063,672,901,148,117,376,131,949,606,580,305,799,
740,460,830,216,113,045,701,380,768,002,192,027,601,883,168,732,280,931,951,
859,260,154,549,066,117,072,749,500,242,461,230,225,510,873,595,714,773,629,
741,915,624,402,584,513,468,074,162,022,770,264,752,522,920,477,904,260,615,
993,756,163,068,689,097,095,488,145,171,623,658,503,955,415,769,819,876,135,
827,610,206,935,917,062,653,439,824,113,544,686,453,025,128,953,583,489,192,
800,310,841,856,339,117,653,763,289,362,942,818,306,116,847,169,650,745,652,
849,779,326,896,047,893,345,057,390,481,066,517,346,006,675,562,455,229,818,
480,750,462,749,127,171,148,605,090,017,503,804,903,129,305,900,882,290,024,
625,906,920,640,972,230,460,890,293,850,883,523,922,713,011,556,508,204,631,
630,157,828,004,125,187,149,379,890,034,911,835,055,744,985,184,815,076,818,
159,799,800,701,877,719,645,120,369,567,389,079,791,859,329,335,461,271,086,
219,731,787,405,077,254,337,062,068,569,852,853,975,496,020,908,918,433,962,
894,150,621,173,321,324,613,033,933,430,027,879,355,289,209,741,077,822,841,
810,182,129,900,480,144,793,903,066,595,469,740,841,039,621,083,974,726,174,
756,482,488,861,328,731,420,505,569,939,856,880,828,316,657,762,369,384,019,
132,420,323,444,056,374,803,285,598,080,171,060,515,489,070,248,963,325,878,
574,691,382,345,004,220,506,488,566,886,546,166,254,549,866,689,662,310,777,
838,914,948,018,650,046,787,334,621,143,417,580,953,128,611,751,008,147,423,
251,096,861,786,602,109,377,593,425,114,089,440,747,607,268,231,199,921,856,
834,596,617,240,650,711,771,656,883,026,194,157,246,276,927,561,393,682,760,
091,721,676,527,261,394,291,038,343,448,270,328,715,879,089,284,892,309,505,
358,892,158,421,165,298,041,477,644,793,171,667,870,828,938,028,575,028,750,
543,118,090,981,445,763,051,538,260,330,265,978,241,987,966,609,744,241,840,
802,568,383,028,733,278,614,134,071,548,320,439,587,702,996,132,700,775,608,
789,220,754,951,487,696,548,488,498,388,520,260,360,693,362,136,378,253,143,
600,726,406,644,513,952,386,359,430,934,145,114,987,298,387,064,790,071,078,
571,180,930,990,868,859,420,194,459,049,566,839,943,170,188,374,192,405,488,
828,282,291,964,695,363,347,824,320,125,333,096,817,087,135,196,239,215,931,
440,952,094,497,134,710,068,772,901,238,436,112,479,393,442,964,957,543,443,
471,644,557,006,693,464,770,774,013,066,963,435,529,574,265,166,285,694,617,
427,773,876,600,490,228,151,104,052,780,938,925,495,078,716,845,215,112,157,
164,377,913,966,788,593,900,439,234,395,591,470,366,995,827,858,348,841,034,
796,152,910,818,565,542,897,969,214,664,121,427,379,422,354,266,674,318,912,
211,703,612,090,243,107,189,187,341,158,853,786,700,005,511,721,852,871,937,
445,837,950,844,621,122,205,146,968,455,969,910,342,557,051,968,541,351,864,
337,822,868,632,114,893,158,653,089,648,049,811,294,317,651,873,563,327,897,
796,493,926,834,453,815,523,096,171,144,654,984,372,274,864,623,091,355,017,
811,604,282,138,059,686,711,608,373,644,199,766,058,366,593,256,026,577,261,
200,810,317,416,916,037,005,344,738,997,346,588,300,645,258,524,303,240,827,
126,992,199,451,627,885,055,254,463,851,990,386,201,711,150,496,309,625,374,
048,227,527,554,139,173,406,026,235,100,047,554,624,827,315,969,631,213,677,
071,700,508,670,565,480,689,769,640,981,720,984,421,656,609,550,659,602,434,
790,888,870,581,286,214,731,161,008,225,160,960,819,577,710,532,756,566,055,
013,985,237,721,469,228,382,253,512,147,653,312,311,943,386,859,976,764,355,
011,836,614,025,288,519,749,393,196,843,856,052,583,970,306,969,034,869,215,
380,392,283,934,055,861,484,523,482,070,557,603,514,007,119,740,532,770,098,
334,137,664,923,588,230,091,383,611,161,897,425,310,606,257,031,350,522,875,
316,558,480,674,258,975,138,351,796,569,267,197,052,561,870,900,442,930,956,
376,446,097,041,404,966,657,391,796,816,476,646,430,978,325,953,276,409,673,
197,988,175,574,567,127,892,562,589,330,547,895,192,672,380,720,215,145,325,
716,165,209,868,593,759,435,532,962,466,299,754,346,222,097,183,949,840,214,
971,444,731,093,288,409,948,210,011,934,413,702,370,320,131,001,737,988,928,
828,633,228,915,288,018,447,674,210,948,277,837,768,910,070,856,242,700,580,
268,044,763,697,908,681,129,196,008,013,645,671,688,534,604,377,705,286,505,
955,909,193,743,774,427,692,866,273,685,204,672,279,153,575,737,593,355,398,
498,438,451,483,328,731,635,333,771,390,706,909,111,871,483,788,998,838,653,
132,238,307,905,869,959,445,319,299,745,850,212,802,336,637,540,626,470,643,
168,645,630,782,079,373,645,835,119,123,505,546,146,175,035,966,448,477,913,
056,774,933,140,973,870,539,240,530,437,493,025,490,923,971,846,591,810,519,
398,902,926,199,213,320,614,001,274,253,996,911,186,364,622,955,926,694,137,
806,608,839,969,429,910,387,653,761,942,994,203,474,197,159,088,129,187,439,
077,352,118,151,551,357,258,977,141,259,537,165,221,445,033,464,273,923,688,
260,531,937,111,677,119,194,250,460,168,547,580,535,761,036,458,562,259,849,
486,479,802,947,998,400,285,739,538,362,211,560,307,672,866,409,304,644,390,
770,902,481,613,346,886,539,475,094,153,907,333,109,200,102,331,102,094,006,
055,293,864,184,601,041,509,480,187,576,678,988,773,395,859,103,532,535,276,
041,105,330,079,601,872,505,061,734,341,083,268,212,420,125,129,381,399,008,
091,097,219,260,975,863,789,155,119,676,221,765,875,693,619,007,250,225,242,
922,226,388,535,438,043,821,047,215,938,158,712,699,815,187,810,076,408,126,
514,221,902,407,374,766,833,780,581,534,591,851,572,060,625,035,077,986,494,
485,150,354,196,317,465,121,164,679,622,279,218,604,863,373,508,666,891,793,
849,744,872,195,219,487,755,251,309,860,748,398,951,725,951,782,158,963,546,
691,451,454,407,545,591,876,033,366,529,878,129,566,835,131,428,079,987,883,
834,674,304,406,670,321,817,708,683,352,175,134,603,588,802,915,700,600,207,
754,987,720,224,990,839,728,189,951,413,302,165,531,542,738,611,945,114,685,
929,388,773,090,728,554,361,906,469,174,590,804,305,432,421,392,277,569,831,
617,637,251,849,238,767,970,014,085,680,414,955,187,606,437,763,045,302,720,
863,681,251,490,372,451,109,609,540,668,639,012,298,297,765,507,526,685,635,
724,061,011,873,854,436,065,678,032,922,551,559,296,096,229,012,583,160,810,
530,879,113,182,812,573,266,453,266,327,030,572,025,475,616,646,238,349,702,
705,984,782,893,966,471,440,003,859,662,356,505,969,764,479,950,741,717,992,
802,646,250,665,415,990,111,832,153,966,081,506,022,372,346,531,117,325,392,
796,346,813,295,159,226,808,438,382,831,236,065,689,089,951,638,969,668,873,
580,318,313,825,713,278,717,880,331,252,972,118,460,874,864,844,670,959,927,
360,409,228,678,374,773,772,687,062,395,562,223,600,668,886,101,290,257,253,
831,442,440,952,066,755,368,359,785,206,049,029,968,174,800,261,734,908,589,
725,668,249,095,543,129,774,883,937,825,081,397,547,463,311,829,641,138,170,
564,922,344,150,005,592,634,513,638,245,956,562,982,051,150,639,125,530,110,
792,733,153,249,552,726,385,295,214,660,167,975,416,072,614,721,048,735,152,
772,574,344,204,729,858,631,793,776,568,672,678,658,625,229,987,127,167,621,
257,712,869,006,481,368,300,383,116,905,837,758,279,630,815,548,265,015,387,
997,730,458,273,677,948,925,570,651,561,124,241,031,920,244,459,247,061,373,
967,737,903,914,294,435,399,255,592,102,558,286,851,491,321,797,819,749,654,
400,129,878,822,373,285,561,943,253,086,913,146,376,933,481,446,893,378,663,
678,015,158,354,008,496,524,058,142,817,612,469,352,382,080,910,883,408,114,
733,646,717,481,642,242,595,946,482,638,220,551,617,551,510,008,174,623,433,
853,397,274,920,995,616,653,894,115,112,696,761,105,260,511,972,825,760,140,
107,446,184,658,252,990,197,843,807,194,151,547,413,031,769,872,252,212,705,
809,704,735,596,355,437,268,729,196,026,253,053,066,534,267,914,456,876,328,
974,157,240,403,928,816,197,163,588,373,697,539,552,942,250,889,943,133,299,
613,996,302,067,594,703,617,357,504,142,288,635,178,680,634,573,683,760,255,
898,770,822,522,362,648,928,452,818,258,123,694,068,035,845,743,057,773,700,
981,862,395,629,951,086,441,459,068,960,460,180,032,234,159,916,816,876,494,
190,681,303,549,984,139,710,984,444,226,542,114,597,817,920,990,419,892,571,
514,205,457,693,410,203,294,870,926,192,166,820,596,460,007,362,949,012,800,
429,773,088,227,784,295,103,964,725,873,871,482,198,196,093,420,830,055,652,
640,447,615,759,742,440,726,510,760,577,940,129,185,847,109,150,466,305,474,
690,504,131,522,665,464,023,988,590,727,653,040,346,046,370,679,727,892,192,
644,115,105,842,886,646,459,582,762,112,592,556,300,656,991,602,736,255,817,
990,833,055,591,489,600,838,966,196,076,563,006,376,962,485,083,136,856,934,
721,534,574,164,249,010,511,977,617,461,586,029,138,391,153,929,508,905,731,
262,793,398,417,745,396,775,154,954,182,978,064,885,099,661,276,616,757,139,
928,395,817,392,482,757,927,602,277,138,432,795,083,210,901,835,086,795,654,
941,107,727,604,386,697,640,675,387,837,587,248,373,157,958,431,634,559,320,
866,125,158,547,394,048,044,268,161,598,458,099,758,992,162,270,942,076,319,
420,093,656,445,480,322,677,314,106,599,897,652,298,487,856,538,401,185,404,
432,755,516,352,842,440,072,895,669,429,442,476,989,499,295,723,021,242,562,
630,405,832,459,688,590,285,443,177,586,486,868,476,414,703,326,171,762,420,
640,945,007,389,761,960,590,510,185,348,187,709,924,625,873,991,284,284,104,
230,112,928,049,716,827,843,228,068,295,399,974,654,010,804,831,898,567,531,
556,972,731,698,933,380,848,406,920,634,170,671,194,758,601,506,129,835,394,
437,714,034,508,250,836,047,764,800,362,089,182,782,493,968,117,097,428,827,
813,018,026,977,998,633,621,103,010,682,125,211,376,577,701,914,564,421,913,
257,630,091,652,464,593,678,418,472,656,080,054,081,758,641,392,608,665,841,
269,149,577,162,365,962,018,579,356,844,007,321,632,230,262,561,774,005,512,
285,882,437,352,656,955,746,450,718,235,032,072,941,557,157,565,091,478,413,
229,610,326,769,346,662,948,565,330,501,236,328,083,388,367,707,347,014,726,
827,420,114,476,889,921,432,086,080,854,025,058,380,176,826,603,882,893,104,
323,257,734,396,364,215,804,509,779,839,512,605,033,764,425,526,213,096,998,
292,513,218,582,388,072,224,982,666,870,713,240,716,119,360,317,734,652,651,
927,459,530,399,952,901,705,054,338,869,095,093,267,327,844,303,414,822,534,
920,057,805,091,425,359,341,383,304,961,636,277,453,050,099,905,715,128,216,
174,596,064,200,763,839,136,603,289,955,894,020,648,642,051,873,563,140,022,
122,262,317,001,736,520,528,740,024,704,021,123,169,731,624,438,068,279,309,
769,476,163,538,774,988,298,086,992,899,154,199,684,072,838,649,698,654,447,
427,730,020,069,380,772,313,024,144,354,197,699,252,731,299,065,392,481,100,
398,167,714,533,220,216,289,234,866,807,049,197,824,158,526,901,238,105,334,
786,660,171,175,723,127,504,715,680,025,829,642,453,020,524,301,112,195,770,
709,249,751,088,008,980,790,181,633,859,142,256,828,159,400,307,602,380,009,
205,735,748,864,036,115,071,129,104,297,819,919,454,652,087,048,376,676,971,
247,905,924,138,146,666,917,753,802,944,180,620,234,366,965,314,793,948,312,
432,969,724,368,224,462,432,790,131,492,797,119,025,663,960,081,976,809,420,
693,508,192,237,374,626,590,427,229,163,559,682,052,797,440,510,958,475,653,
628,783,204,266,035,168,910,140,512,114,622,262,045,132,800,917,827,198,209,
282,096,952,076,474,610,665,616,349,672,209,024,404,589,241,932,808,049,100,
209,116,718,211,867,417,208,252,663,242,178,230,030,483,406,039,397,951,612,
426,909,313,772,372,166,961,349,761,359,329,655,893,783,481,390,702,714,006,
855,893,396,187,859,554,269,953,929,871,346,125,249,775,037,600,956,459,348,
418,884,734,704,323,971,950,754,557,175,452,235,434,028,788,013,813,702,204,
947,044,011,533,310,454,832,692,620,390,408,082,684,572,404,799,482,315,949,
737,277,399,045,928,082,865,789,956,818,699,498,391,045,184,429,424,802,327,
527,518,065,632,500,435,162,794,256,962,777,345,662,213,623,870,605,826,906,
350,173,705,038,886,286,626,923,508,934,907,823,664,476,508,257,615,929,900,
666,454,006,196,014,718,234,370,033,104,599,938,712,688,894,387,571,207,744,
532,562,722,165,016,906,160,835,977,301,465,924,340,079,624,915,413,494,817,
765,273,813,778,315,819,617,123,040,291,293,922,230,751,098,834,784,742,664,
305,719,328,836,411,073,978,542,453,887,393,386,652,837,579,928,541,099,151,
159,913,793,258,388,650,291,286,050,980,818,043,881,363,534,263,051,784,703,
784,093,354,601,746,045,492,839,539,564,648,643,864,478,299,981,829,138,417,
557,229,504,757,163,090,511,216,015,428,497,596,775,258,039,864,422,567,904,
967,867,669,724,585,196,230,093,869,985,145,073,100,995,559,844,103,893,549,
155,181,014,248,924,658,091,319,718,532,300,303,980,279,308,393,023,495,145,
214,177,781,268,061,301,509,023,818,239,785,651,842,455,603,358,857,651,004,
597,108,943,694,908,751,928,170,317,507,833,333,787,411,079,790,127,795,279,
608,448,561,044,134,816,173,385,018,993,362,157,560,190,740,055,885,251,347,
910,898,783,980,415,928,420,599,471,629,137,027,746,942,532,419,157,175,685,
268,455,363,783,756,174,303,202,012,593,659,467,925,614,302,767,878,863,887,
089,964,489,184,165,039,930,072,945,722,051,410,345,359,770,698,303,964,804,
429,905,613,185,740,111,318,798,677,976,392,092,521,983,370,216,600,268,980,
462,547,509,303,312,619,241,693,319,907,105,463,918,476,930,924,714,317,702,
438,856,838,489,195,803,018,225,670,051,986,915,199,219,163,939,339,949,132,
763,453,150,146,568,311,683,728,057,414,031,029,499,430,707,675,730,764,820,
956,496,586,145,572,908,928,772,828,826,873,281,251,190,280,146,560,300,219,
794,891,656,337,527,673,982,279,824,892,341,383,212,868,874,840,128,482,852,
995,887,941,947,601,346,301,131,669,802,200,819,622,389,239,930,920,353,633,
581,995,842,857,811,515,533,823,887,833,463,725,593,763,824,898,642,654,460,
533,505,934,425,659,142,842,763,182,292,585,650,189,672,464,127,931,467,974,
911,475,952,561,633,024,448,273,867,707,848,015,347,913,054,374,268,235,318,
487,659,470,325,096,341,754,943,823,950,717,361,230,341,322,379,217,141,781,
658,876,766,458,576,524,272,348,213,749,669,280,593,025,147,237,199,770,707,
313,755,913,986,952,134,823,549,969,112,398,116,604,817,513,537,810,700,085,
574,370,635,416,496,120,741,564,613,203,901,395,627,001,651,732,109,043,696,
792,090,413,051,429,635,040,176,972,286,300,555,828,718,118,319,808,109,737,
780,908,164,599,561,423,179,967,413,535,232,424,570,086,138,833,427,866,446,
088,582,027,473,959,652,369,337,395,713,132,311,846,631,290,250,567,133,043,
140,652,735,924,769,695,518,160,865,929,155,529,419,032,332,279,592,709,754,
208,438,490,767,554,261,152,371,081,582,428,586,362,333,486,101,560,102,559,
670,399,132,664,797,547,064,465,101,375,814,403,315,658,502,199,742,734,469,
538,966,721,953,152,724,311,415,373,264,980,323,716,647,407,602,057,344,537,
461,559,970,954,975,530,729,000,134,360,865,428,358,619,888,853,301,898,716,
822,002,286,753,958,936,003,580,613,168,327,103,029,968,747,681,530,555,436,
563,261,446,595,615,270,605,580,795,931,343,318,239,577,307,068,385,178,638,
205,547,306,470,122,383,527,836,283,152,339,098,040,934,382,218,425,636,649,
356,212,654,162,411,911,967,041,604,009,580,556,694,291,667,960,476,772,955,
120,179,553,649,669,660,333,371,734,840,202,268,403,807,556,628,056,707,242,
972,640,667,903,522,788,752,610,512,610,396,108,797,497,752,229,129,856,053,
998,057,557,338,477,075,992,220,081,153,158,177,818,839,817,350,946,129,357,
353,315,878,384,320,383,271,982,018,624,956,091,215,263,986,847,637,739,858,
125,148,125,434,926,129,799,323,954,611,749,789,146,044,511,930,047,345,611,
695,083,627,584,201,488,106,582,239,135,009,622,729,277,359,295,335,562,422,
476,304,046,824,537,540,592,123,442,665,361,900,518,791,150,424,649,483,277,
657,042,187,113,240,114,422,426,180,541,936,560,946,454,597,564,722,890,600,
867,793,069,689,938,256,227,081,354,150,070,403,807,842,681,844,111,153,330,
951,499,338,677,544,431,816,292,129,559,523,182,364,370,272,011,078,600,761,
073,045,278,227,504,018,582,060,256,865,827,376,538,117,385,989,722,913,644,
395,364,638,998,981,904,315,303,499,124,909,242,100,049,858,975,863,028,759,
616,205,879,221,944,753,852,741,264,415,402,796,933,623,338,688,224,976,122,
829,972,405,215,053,461,010,533,055,815,192,214,832,882,648,725,271,400,490,
910,624,918,149,924,696,383,489,354,633,720,225,046,437,920,122,827,149,327,
673,385,394,491,905,586,872,347,669,417,578,611,269,539,292,625,704,926,133,
282,130,541,116,505,115,750,815,010,956,913,968,817,813,237,897,291,124,062,
157,186,506,389,516,609,508,713,138,705,362,758,688,116,205,033,765,174,511,
600,787,159,158,759,414,025,898,024,411,116,554,990,006,147,943,616,239,678,
277,825,531,350,621,034,138,433,827,225,016,697,067,317,802,635,349,108,694,
180,562,056,774,328,835,002,146,732,001,691,089,350,337,561,439,473,179,085,
008,499,018,243,231,292,957,475,333,190,819,036,573,858,974,261,916,123,250,
631,869,932,057,738,173,431,896,744,679,152,241,292,531,336,633,538,340,495,
503,366,828,878,316,223,512,266,113,719,841,575,609,452,350,820,174,844,962,
191,993,494,784,923,878,476,895,801,992,380,274,798,624,043,285,775,703,356,
751,424,047,150,731,614,756,437,332,883,557,305,156,611,294,455,855,556,577,
350,570,764,085,917,943,312,048,170,638,525,944,954,287,669,385,399,731,021,
234,176,220,878,294,180,477,251,782,102,216,187,031,760,435,875,224,157,887,
508,398,060,982,971,563,503,306,226,047,803,444,205,056,240,643,372,445,763,
861,818,556,895,226,451,248,193,081,089,222,445,609,602,162,159,642,237,452,
047,859,519,879,013,653,527,790,247,296,931,032,611,977,752,793,494,405,608,
148,553,185,227,929,118,940,488,802,686,915,739,294,775,876,791,575,955,948,
149,768,207,739,663,931,826,440,658,259,505,353,589,743,182,942,870,370,790,
202,368,831,118,152,901,817,639,482,977,057,209,288,685,229,221,611,427,195,
321,507,815,240,859,542,459,932,432,564,183,903,541,860,176,906,784,257,266,
451,519,419,544,888,306,395,048,803,388,495,815,429,420,831,224,281,253,340,
182,142,455,539,750,602,316,656,699,984,543,823,604,192,358,519,757,657,130,
213,254,738,966,713,738,040,049,240,234,876,041,901,100,501,787,517,181,209,
233,193,352,458,072,172,681,809,831,428,730,072,368,674,481,045,079,361,052,
466,474,602,039,274,061,876,078,884,465,453,977,439,430,945,962,876,468,020,
724,068,948,070,712,185,920,538,515,398,280,110,688,807,990,377,807,734,174,
387,824,500,070,653,373,124,005,154,964,897,161,941,659,257,210,692,760,248,
235,042,350,690,300,070,502,321,024,832,848,182,418,434,948,148,566,523,180,
816,535,694,136,892,365,175,557,821,356,166,634,389,404,656,979,770,033,114,
771,843,787,802,097,892,999,730,049,240,652,082,605,410,983,378,446,069,849,
100,692,934,537,348,766,446,679,871,459,587,041,130,268,914,780,162,628,326,
849,148,314,838,396,011,388,586,208,539,563,013,298,493,842,203,192,965,280,
348,293,057,422,661,579,933,394,061,262,148,504,642,258,165,242,901,845,163,
037,198,905,895,292,140,870,749,193,798,603,920,385,921,366,025,911,721,615,
932,269,693,340,074,517,692,758,510,996,652,333,133,944,065,770,473,160,040,
661,223,428,913,865,623,953,777,053,695,242,238,220,691,003,736,196,792,581,
075,420,365,502,659,759,169,393,908,174,864,296,934,999,194,953,392,430,479,
333,761,888,724,208,292,600,158,544,800,830,939,848,891,478,135,091,778,371,
276,226,515,271,988,786,749,281,081,690,316,484,433,981,861,775,724,958,735,
399,042,565,724,622,417,112,454,736,309,349,103,895,956,563,968,724,974,853,
063,873,081,737,445,911,803,679,490,970,508,013,869,362,743,710,134,659,669,
204,837,181,886,006,342,319,148,485,853,031,003,403,798,625,160,197,440,315,
657,794,752,285,668,109,048,467,457,301,654,872,527,906,215,871,402,134,041,
561,330,800,170,774,590,321,984,523,636,263,194,712,374,597,664,121,029,532,
980,789,298,638,602,494,060,651,426,204,780,690,522,494,393,343,223,954,663,
506,696,617,324,790,706,063,508,043,384,965,446,119,429,122,457,101,884,675,
618,401,721,325,020,735,777,061,194,936,900,332,818,599,588,888,039,926,893,
651,307,278,604,736,726,724,857,301,877,166,809,768,434,854,016,536,458,376,
797,295,003,056,371,894,051,432,542,783,385,961,651,359,956,256,246,755,528,
841,897,478,224,800,704,742,664,638,009,534,832,478,887,725,514,930,113,285,
063,867,341,032,466,369,448,448,667,650,752,959,800,096,464,906,106,022,889,
161,559,709,176,279,305,663,579,446,449,962,061,273,779,478,573,303,430,987,
070,674,504,365,818,031,015,261,345,995,998,624,947,916,452,202,818,949,394,
795,202,431,131,585,652,310,452,338,516,236,102,964,702,903,734,862,878,341,
927,961,265,713,000,348,741,066,844,571,671,361,427,288,626,397,146,060,636,
826,981,873,657,571,668,137,936,741,658,811,803,759,804,724,707,885,414,357,
975,571,204,533,386,883,819,096,809,436,462,852,660,492,522,447,636,793,950,
840,122,193,670,506,909,664,878,913,156,282,951,018,870,765,262,176,316,926,
564,342,662,218,480,276,886,584,832,500,564,440,013,421,997,550,945,524,640,
524,125,867,893,759,189,478,363,633,573,396,314,367,127,143,013,886,782,938,
028,472,587,526,676,784,297,402,567,439,224,118,297,640,229,765,919,207,988,
542,116,765,512,173,684,532,596,918,198,973,908,681,474,746,978,526,892,634,
668,128,825,175,986,511,286,760,396,132,419,259,065,688,079,257,131,454,173,
909,111,432,635,762,049,824,404,568,418,799,444,486,494,044,714,633,282,438,
001,054,164,943,499,707,567,576,178,645,757,909,679,331,726,783,668,878,111,
639,213,620,436,099,889,603,805,871,950,887,555,744,212,077,479,759,093,075,
109,272,857,738,262,877,509,063,258,188,158,223,639,545,421,559,667,519,677,
362,700,811,140,700,429,325,985,536,515,394,212,151,335,824,549,599,461,470,
657,859,930,226,516,511,492,424,003,681,983,397,790,295,268,532,082,509,166,
522,549,314,641,641,659,862,647,533,171,618,311,385,066,323,879,057,904,079,
556,160,045,509,073,292,246,427,972,679,433,720,694,113,190,180,929,377,159,
388,707,280,176,563,345,972,667,007,887,071,184,600,130,360,775,423,514,254,
353,218,592,620,646,484,612,256,587,789,873,236,374,027,698,490,197,065,687,
924,213,595,196,503,294,984,486,594,630,397,916,084,368,967,096,334,073,563,
273,175,666,337,046,211,296,938,542,087,376,479,191,600,669,347,694,520,131,
078,494,181,173,339,890,727,065,452,779,747,435,670,504,783,903,678,352,653,
399,872,629,268,118,498,385,796,933,033,645,737,567,791,970,866,565,235,189,
037,195,709,233,857,534,710,080,645,354,614,102,507,849,492,429,699,300,452,
000,921,811,561,159,932,500,790,188,814,584,962,011,734,005,631,712,633,558,
578,267,955,526,514,509,307,620,703,234,660,939,556,910,089,165,560,488,702,
993,339,120,091,098,965,815,374,439,961,528,787,109,106,229,922,540,102,868,
644,730,779,258,832,555,759,722,329,286,198,099,950,748,674,839,625,511,042,
657,518,565,554,562,401,451,260,216,786,954,415,785,299,513,770,987,417,041,
147,412,250,447,683,475,745,991,014,164,059,833,833,923,301,490,763,838,515,
664,880,759,538,512,877,773,143,931,537,750,188,190,094,583,451,527,956,182,
249,894,191,004,140,613,448,442,068,652,809,607,170,002,715,343,608,375,191,
075,005,869,878,480,139,783,678,295,199,207,641,127,297,116,998,091,862,605,
156,526,260,951,550,477,155,328,076,111,680,100,220,067,355,946,126,500,972,
836,970,587,880,116,014,887,218,857,757,794,164,506,854,289,952,076,105,562,
286,369,828,629,334,494,135,612,941,311,408,501,789,114,228,427,353,617,132,
482,798,125,694,993,847,063,399,749,948,927,614,010,692,422,779,038,378,458,
824,001,144,597,308,477,657,321,309,852,013,995,129,977,093,089,204,960,577,
516,536,709,872,336,514,137,475,860,707,940,565,761,606,506,233,580,525,003,
852,984,322,904,700,649,846,498,254,235,574,500,917,050,553,410,337,327,321,
345,085,256,304,197,935,532,086,519,498,182,007,028,606,695,327,312,767,964,
537,372,605,598,868,448,608,727,595,905,473,010,415,496,091,012,690,367,678,
123,749,947,229,378,478,936,772,490,481,000,874,696,004,569,798,201,386,144,
144,842,579,983,935,638,156,363,166,395,042,664,507,546,439,620,286,289,761,
885,486,108,210,881,450,254,786,083,786,524,911,998,288,059,978,407,181,141,
808,483,325,007,869,144,534,007,175,735,442,113,953,040,443,489,160,909,079,
372,008,733,752,412,724,254,474,624,172,524,469,515,418,406,459,986,002,372,
702,710,317,443,139,823,614,722,432,446,376,611,139,681,092,468,693,577,411,
946,432,040,671,007,346,092,309,364,052,686,300,297,793,183,681,545,994,518,
876,658,169,864,615,097,225,283,790,352,252,609,594,521,303,967,600,178,342,
594,835,554,076,354,610,839,451,051,837,367,881,698,588,320,809,488,067,020,
169,111,713,895,082,059,796,711,525,070,601,630,497,494,085,025,550,889,818,
765,494,244,429,882,758,689,720,288,525,751,293,060,045,546,278,575,250,388,
798,052,831,085,202,751,369,315,572,158,230,749,510,109,995,220,260,491,335,
229,418,141,251,782,715,969,780,935,541,185,577,813,458,743,797,691,606,878,
374,471,299,350,659,214,555,887,652,192,252,469,052,875,557,287,383,016,301,
663,447,847,741,684,559,554,104,451,788,616,918,952,166,554,139,461,599,037,
987,306,854,025,880,287,320,268,353,470,252,347,910,122,333,497,529,189,169,
793,641,550,142,218,107,148,031,197,430,646,243,013,460,017,354,937,147,202,
832,225,621,457,833,521,593,907,457,815,913,263,352,245,750,128,673,759,001,
798,236,500,741,256,873,793,675,155,228,359,978,559,918,669,497,194,539,692,
283,946,438,680,091,398,954,161,744,254,258,822,284,117,125,025,410,697,648,
278,083,170,283,762,767,185,021,179,904,945,551,322,313,243,140,939,530,933,
260,463,658,177,478,685,464,057,727,616,594,578,115,469,767,575,139,884,863,
611,907,598,702,677,175,021,542,493,466,299,448,757,560,021,112,288,037,845,
494,878,743,696,350,914,139,118,508,095,163,844,618,564,195,239,064,850,520,
664,344,234,305,344,035,023,605,642,566,300,694,940,026,468,159,220,137,102,
224,690,437,063,154,875,929,452,877,834,228,742,474,892,211,554,274,021,072,
875,826,656,759,528,337,325,548,754,335,472,135,874,703,278,083,945,966,802,
061,618,260,413,172,141,823,264,104,914,696,209,260,099,422,822,282,497,299,
126,345,883,653,658,676,732,865,684,088,748,532,031,564,534,472,106,808,079,
769,650,815,860,353,019,104,732,482,246,419,877,571,026,173,802,922,332,873,
062,188,549,355,794,216,516,052,140,780,433,571,536,493,156,640,884,582,008,
918,619,718,564,357,428,288,021,780,100,285,728,820,732,813,924,176,546,776,
919,366,813,358,919,134,940,062,447,928,299,213,964,915,587,065,216,098,391,
363,056,455,645,895,040,237,641,984,049,411,723,897,183,151,288,868,826,199,
337,421,645,472,228,442,368,762,793,108,082,514,837,069,880,600,283,244,963,
274,318,110,337,815,089,495,746,170,084,756,963,971,546,618,099,710,793,234,
186,938,480,273,026,366,070,609,425,586,361,580,265,720,208,528,743,526,913,
640,785,744,136,759,752,151,686,789,383,187,872,363,838,039,715,780,105,407,
341,566,548,686,108,685,099,265,855,274,728,823,320,673,714,596,484,420,887,
737,024,199,071,468,031,109,179,470,035,461,408,602,421,060,837,112,500,357,
229,643,714,508,037,890,973,413,043,268,800,378,129,639,095,921,409,017,328,
546,833,068,214,913,402,805,605,893,603,868,082,895,814,717,096,058,632,711,
326,193,743,239,807,662,859,487,129,879,905,138,931,596,775,176,906,081,882,
815,198,641,406,832,823,368,806,435,093,812,923,196,624,832,877,259,329,470,
611,457,401,403,542,309,704,252,521,359,292,819,605,454,516,904,206,794,068,
220,685,101,429,499,326,166,354,277,525,604,096,362,107,086,957,737,947,861,
753,523,956,017,210,376,307,720,312,619,012,303,609,788,276,376,511,319,566,
342,669,254,731,630,964,944,081,954,294,847,457,945,789,469,072,058,020,714,
844,986,624,126,440,137,607,618,319,807,298,775,750,313,702,278,536,142,465,
314,678,221,155,747,785,511,195,857,958,171,378,615,763,574,386,730,393,475,
360,467,176,444,840,283,662,527,997,916,412,378,589,047,106,777,433,663,219,
005,005,146,886,124,885,178,537,116,374,574,398,834,652,982,165,499,022,179,
505,144,089,888,799,768,723,346,909,215,377,353,257,478,909,683,917,572,468,
197,558,296,364,028,547,129,134,527,602,550,412,295,332,301,232,318,385,818,
241,230,179,697,081,145,782,800,783,503,672,101,715,713,151,341,141,101,518,
695,833,616,425,171,521,034,644,609,657,027,246,568,197,359,814,891,291,996,
838,427,719,874,915,771,496,209,818,861,299,555,826,105,914,187,658,533,790,
058,443,080,216,160,337,760,461,842,696,304,820,259,653,048,209,725,801,574,
685,172,381,920,077,148,367,343,993,957,630,248,788,115,439,909,537,602,749,
801,985,027,564,492,145,597,822,915,895,918,846,969,205,319,473,696,968,138,
881,539,103,052,696,506,770,406,773,290,836,248,368,970,139,934,762,938,558,
795,386,984,706,057,295,967,373,884,983,859,171,790,573,727,495,176,605,812,
152,107,250,507,081,599,160,804,615,933,013,197,349,745,241,539,525,767,671,
180,369,907,579,346,386,838,106,419,421,371,643,239,154,106,539,386,309,093,
434,907,268,556,583,326,057,892,720,648,876,215,377,170,334,089,519,054,919,
263,937,205,387,554,356,102,345,290,705,635,617,199,468,955,080,937,419,297,
102,014,091,134,931,224,236,884,209,924,455,065,549,470,579,952,220,393,924,
293,958,112,869,455,481,409,103,524,850,532,366,176,925,124,662,008,240,406,
776,980,415,784,783,712,533,567,647,329,470,416,080,712,339,161,464,332,692,
092,918,705,386,037,197,900,159,152,212,877,018,295,272,072,910,081,090,309,
683,170,610,683,469,466,459,991,451,864,702,565,363,402,882,380,413,367,949,
884,510,545,262,783,110,781,613,426,307,749,082,219,511,441,156,241,750,959,
566,324,233,809,941,845,689,541,949,565,292,969,914,242,678,226,942,182,545,
872,071,922,590,010,810,204,336,563,423,565,751,743,113,574,814,019,269,714,
912,530,507,708,546,172,847,324,256,900,162,092,857,210,828,721,454,672,044,
820,464,814,746,782,874,311,357,367,199,094,123,574,487,041,736,095,973,812,
984,095,361,114,593,026,095,721,461,412,877,863,249,578,039,698,541,795,406,
227,125,920,353,525,221,022,276,257,687,610,924,591,430,626,116,044,519,745,
488,775,486,459,862,401,724,689,234,027,914,755,475,885,072,096,879,077,714,
442,482,634,271,098,646,748,248,452,394,600,149,682,638,357,292,067,674,463,
176,630,646,598,484,720,731,227,896,588,581,114,948,903,841,799,949,680,133,
720,989,739,132,291,936,969,899,694,113,351,658,293,450,877,152,690,680,262,
721,690,710,878,098,208,566,908,612,205,031,256,600,491,148,657,305,682,481,
387,170,778,594,406,832,408,853,404,109,520,211,295,701,915,413,392,560,240,
675,024,678,568,478,375,533,277,683,696,418,713,407,733,299,563,640,764,959,
063,180,122,667,280,888,596,239,681,955,301,120,646,518,071,948,753,496,254,
570,954,540,376,192,236,424,753,081,281,314,606,502,444,566,798,028,609,212,
308,742,024,236,886,158,489,122,288,734,815,349,684,546,322,961,431,861,705,
451,111,117,549,089,703,626,296,870,777,557,961,204,168,129,059,286,519,525,
820,185,533,985,043,210,713,216,844,922,728,356,882,177,129,156,522,109,461,
556,253,297,662,298,950,661,849,379,734,888,603,371,333,880,822,465,008,608,
727,105,783,949,741,817,876,221,776,663,343,638,465,528,156,896,852,277,623,
882,492,130,726,970,474,508,674,756,657,876,932,798,428,674,015,701,434,147,
341,205,017,425,084,807,643,711,993,969,696,337,917,368,936,059,321,374,532,
539,213,965,055,738,739,645,545,969,001,622,725,591,414,052,872,786,353,840,
450,813,812,904,367,571,133,126,143,133,185,211,152,941,705,118,593,448,725,
459,331,177,419,598,443,293,903,798,916,139,486,148,869,343,677,616,571,626,
114,244,452,592,365,267,577,382,420,147,928,013,640,948,919,398,307,825,113,
591,240,681,840,188,902,902,008,629,217,254,700,987,157,493,199,879,078,859,
331,360,659,416,636,034,119,280,562,394,978,577,748,618,985,470,223,493,728,
245,498,827,531,968,523,402,238,566,720,891,218,274,097,562,091,425,525,266,
940,014,187,302,744,623,328,835,476,314,760,098,308,582,089,425,355,115,133,
551,299,161,000,101,972,736,875,647,739,747,184,619,283,558,407,793,121,292,
042,689,104,859,393,257,759,336,008,042,338,569,756,561,868,038,225,656,335,
568,296,116,820,870,287,516,984,271,606,719,454,796,426,714,254,925,487,643,
495,223,119,973,360,083,079,292,387,049,351,236,084,463,580,096,101,112,178,
585,889,456,362,121,669,428,181,527,952,775,656,815,728,371,042,728,422,151,
843,939,321,505,793,602,733,557,572,764,606,179,231,015,970,764,563,303,838,
916,648,425,857,529,312,250,046,478,360,708,246,516,921,943,091,551,617,342,
671,200,382,327,725,696,816,379,369,028,043,134,438,267,290,678,364,157,663,
275,118,429,628,201,082,678,650,317,713,555,367,855,905,576,724,669,646,990,
535,017,901,771,857,938,485,008,741,905,512,986,786,253,525,143,693,414,816,
152,309,981,680,000,818,901,270,983,980,443,603,301,376,908,537,911,507,406,
106,127,740,135,227,591,760,387,086,605,426,249,420,090,606,414,286,416,720,
875,300,953,042,905,817,934,941,412,535,498,173,506,738,893,174,644,372,387,
503,712,727,617,017,371,479,396,436,361,151,640,605,902,815,579,520,644,478,
111,368,044,538,726,450,276,424,794,538,946,057,107,324,654,921,041,560,310,
792,988,196,076,798,548,202,582,779,023,390,784,952,081,168,536,838,489,676,
827,466,979,594,388,181,553,821,483,378,290,911,969,111,565,368,881,335,662,
399,759,651,653,896,081,494,668,515,301,646,708,598,969,856,627,303,429,131,
686,826,470,864,953,315,160,809,960,020,272,521,867,025,346,055,387,434,115,
829,262,467,616,289,850,228,545,561,740,277,819,233,085,187,735,010,175,144,
667,830,351,164,027,925,607,897,225,244,268,647,737,496,045,999,150,435,237,
472,989,899,945,335,513,698,624,956,103,055,936,064,215,185,445,760,651,050,
046,439,365,253,641,325,094,260,315,383,986,164,189,427,671,238,133,608,539,
007,951,003,440,503,481,181,484,183,819,261,998,314,932,931,263,066,489,024,
236,184,548,609,035,849,112,226,907,532,909,840,722,033,595,093,638,998,915,
463,061,598,797,635,077,890,413,161,003,522,542,781,210,489,375,448,538,145,
499,180,558,453,007,033,750,467,934,047,974,092,800,404,868,990,811,940,178,
728,596,438,866,773,115,331,148,553,763,851,392,894,731,279,058,965,736,863,
428,779,396,273,779,807,536,808,189,157,148,632,344,891,607,015,008,697,694,
690,809,000,507,844,274,884,128,042,492,217,067,598,677,342,495,311,402,631,
733,739,163,394,522,889,511,783,668,390,743,312,338,019,455,873,806,388,828,
314,768,036,747,894,867,191,011,055,470,547,802,059,297,830,511,978,029,159,
475,389,351,167,057,420,474,951,451,464,451,581,762,087,738,267,037,488,385,
177,844,444,183,934,489,548,420,286,473,833,539,132,128,839,323,450,349,987,
400,259,455,362,760,594,092,999,841,982,792,375,935,248,499,748,865,870,033,
090,310,988,029,556,038,104,324,668,235,000,048,379,147,480,646,393,572,032,
284,092,300,057,946,130,701,031,497,283,596,806,289,872,432,235,285,421,504,
876,809,327,846,193,176,793,417,949,052,625,896,238,925,484,238,117,182,224,
438,132,560,293,902,730,717,600,452,403,173,749,331,052,158,554,641,786,697,
759,803,865,851,867,670,259,409,013,512,755,918,208,570,279,277,237,096,474,
762,632,419,537,444,306,353,905,947,782,860,497,390,444,154,054,990,928,622,
403,481,438,884,314,357,224,679,117,787,580,341,905,355,846,742,789,148,763,
421,224,648,802,421,011,803,030,311,217,896,484,984,772,667,630,219,613,518,
347,215,899,742,834,693,818,100,435,119,613,785,910,862,428,570,665,946,040,
266,751,209,045,594,802,507,196,803,375,980,774,382,419,272,365,174,550,173,
928,068,332,627,325,713,318,186,572,042,419,673,029,867,018,911,955,243,030,
169,947,286,019,675,211,566,394,362,407,854,126,035,334,679,279,986,023,518,
848,791,248,863,108,462,465,398,581,564,847,818,363,866,955,376,192,256,918,
282,587,885,829,326,713,506,137,049,260,919,586,763,757,372,106,306,919,891,
048,040,104,996,744,935,953,092,513,617,504,429,825,374,828,563,388,431,052,
181,920,089,675,070,756,411,422,573,071,769,762,096,256,860,949,093,794,087,
445,445,299,093,884,471,903,149,829,368,531,566,901,357,327,715,798,118,731,
780,571,647,879,279,880,027,229,327,839,962,350,815,496,415,158,893,560,634,
605,335,358,456,707,278,002,619,607,180,833,696,938,855,091,367,303,721,153,
481,131,542,975,640,003,039,996,754,225,681,309,693,041,227,910,993,189,808,
027,045,228,428,379,998,613,011,501,838,187,449,529,818,129,515,439,232,301,
285,488,872,773,820,056,947,198,636,854,489,776,626,941,345,515,098,084,736,
141,165,791,029,911,617,055,675,444,188,941,742,410,970,031,339,693,800,448,
153,882,457,152,718,416,255,549,708,094,282,479,835,706,842,865,103,300,198,
937,116,696,158,846,658,997,580,174,485,697,608,962,737,350,003,810,575,753,
671,650,341,576,124,019,778,499,367,262,698,731,277,079,261,537,134,375,240,
807,076,813,565,133,554,119,772,977,151,810,471,229,328,700,357,830,043,039,
402,379,506,576,911,054,587,432,338,908,306,304,611,221,860,428,372,601,316,
441,017,143,300,198,398,988,318,511,937,057,440,503,564,682,996,680,042,052,
103,891,446,660,784,163,419,938,322,249,805,510,999,329,815,014,728,053,280,
659,106,288,455,128,477,114,836,532,702,467,633,331,073,081,366,556,784,398,
047,636,273,748,717,587,491,975,038,770,688,948,682,902,893,471,801,236,267,
512,031,145,652,674,015,802,087,714,800,918,957,485,263,840,138,414,241,375,
308,643,260,463,987,270,176,580,694,910,504,294,525,683,453,112,481,646,258,
878,461,681,488,234,748,697,908,521,458,618,566,775,416,236,950,100,395,785,
537,218,938,108,096,214,838,239,192,117,126,405,743,844,724,439,799,519,010,
524,539,372,993,866,291,748,256,309,010,084,098,076,612,211,054,692,415,623,
043,286,770,462,812,628,567,143,351,129,676,854,488,530,284,128,708,902,507,
225,369,108,382,843,806,824,917,023,941,353,750,938,442,797,576,964,199,394,
680,929,214,682,786,342,461,939,945,235,659,265,725,427,545,443,850,037,232,
637,828,758,364,876,705,451,360,032,962,268,620,521,207,889,740,214,516,626,
374,606,735,214,634,817,349,236,789,677,380,044,715,771,062,033,026,720,403,
894,298,133,382,122,735,070,069,611,124,506,567,315,315,401,532,922,184,448,
535,329,111,395,544,516,479,301,988,955,827,454,371,360,640,061,997,406,386,
624,785,788,263,071,643,994,997,009,122,163,040,392,109,702,930,902,247,406,
303,879,839,852,868,908,154,646,123,705,754,807,360,887,312,005,610,119,990,
933,598,920,858,499,169,954,047,179,657,503,752,090,292,518,503,881,805,139,
652,818,925,541,040,078,552,893,408,868,880,210,280,585,045,034,833,504,496,
410,144,218,770,031,047,247,127,298,318,987,456,808,273,324,673,137,479,162,
380,921,034,036,859,427,980,094,078,672,201,393,414,920,101,266,696,699,575,
951,109,458,905,919,010,981,241,862,013,157,541,710,927,162,656,721,968,299,
950,183,823,763,559,036,372,482,066,985,098,042,451,600,893,055,587,771,124,
301,874,705,095,883,762,462,728,550,371,129,127,552,779,693,905,595,588,025,
511,715,910,232,738,647,144,541,856,230,818,514,516,265,276,076,745,135,877,
763,982,285,359,384,243,394,716,541,885,190,754,209,572,071,216,280,695,661,
205,691,966,970,279,816,429,402,687,168,039,402,610,689,726,810,586,030,181,
325,518,194,386,095,556,054,029,795,455,020,902,353,219,571,673,291,917,142,
384,463,351,259,088,696,588,115,675,551,569,271,148,738,297,407,109,247,985,
451,303,480,029,517,215,430,084,452,391,666,457,055,866,072,808,958,098,523,
049,444,651,158,877,270,252,704,444,599,520,617,574,353,616,365,893,961,195,
801,567,153,096,320,315,352,674,369,486,823,698,798,880,736,338,366,511,690,
393,455,933,352,100,201,553,674,997,039,983,101,917,649,942,322,483,716,512,
252,673,553,514,116,231,409,356,855,363,069,405,125,435,473,918,532,111,255,
705,173,864,438,005,950,940,437,589,124,810,717,905,797,819,390,742,292,667,
251,157,735,902,193,630,552,252,770,092,156,055,611,373,244,050,396,726,449,
844,242,288,748,676,632,456,953,449,792,169,990,090,314,091,045,500,851,964,
023,665,732,453,170,667,560,762,404,765,412,526,069,178,124,202,371,695,596,
350,275,737,733,006,211,558,786,734,899,901,407,915,311,256,660,592,969,047,
508,493,298,505,050,901,416,310,883,289,940,190,500,035,787,092,652,177,170,
172,447,705,100,202,287,270,629,604,328,278,919,300,829,171,903,983,566,125,
744,953,414,136,131,757,027,660,914,497,342,755,823,330,844,451,256,338,806,
226,366,964,796,475,007,832,967,565,957,637,154,870,647,040,160,915,585,907,
170,023,313,307,269,481,499,226,220,851,869,954,188,164,946,909,220,517,762,
006,525,690,902,029,269,821,661,953,648,870,098,721,007,906,776,906,553,242,
452,449,087,770,455,375,875,719,730,961,575,530,608,511,045,403,954,902,879,
257,006,954,761,224,230,798,106,753,042,887,485,055,472,267,491,916,953,887,
056,909,986,343,270,555,586,893,428,820,548,017,701,142,248,289,584,783,274,
501,622,072,548,404,913,767,752,418,734,687,129,763,427,528,586,532,520,136,
996,733,406,461,789,500,527,893,505,020,082,578,547,137,946,364,746,738,324,
909,317,537,824,350,692,279,655,430,485,389,547,593,780,389,512,391,251,606,
250,567,479,554,008,248,642,845,844,131,336,666,995,665,588,204,521,367,467,
432,385,774,576,203,602,890,853,600,232,703,542,288,926,002,952,458,630,908,
239,716,315,713,917,231,548,180,485,895,359,034,804,137,132,151,155,147,277,
337,459,152,795,749,896,963,963,149,797,398,424,010,087,153,953,355,047,282,
105,007,771,837,421,284,076,027,472,246,378,522,343,669,894,518,275,882,374,
679,370,121,215,692,894,314,022,660,902,059,890,332,255,085,494,109,747,309,
503,102,379,161,790,576,897,112,297,914,060,035,990,566,707,762,799,775,809,
761,709,139,030,178,834,965,859,611,774,717,886,718,405,830,484,406,669,119,
646,272,704,542,510,059,013,346,459,595,456,448,138,141,675,217,309,456,906,
461,586,850,491,474,009,308,148,815,708,402,459,540,936,630,924,064,364,057,
762,263,409,082,018,719,109,740,394,693,053,517,972,800,703,243,030,834,316,
431,199,546,077,468,239,811,103,296,315,964,793,687,361,614,272,935,265,522,
241,295,032,752,783,529,327,068,808,070,116,382,947,046,719,373,087,246,465,
312,567,110,456,580,832,884,901,476,667,409,426,984,191,598,836,210,093,999,
438,801,256,362,832,104,075,929,296,393,285,886,849,424,799,147,484,034,039,
821,568,466,272,774,305,505,752,010,909,566,241,015,927,991,967,115,225,170,
311,935,411,850,577,451,060,745,837,640,236,681,648,633,898,791,902,205,041,
731,157,412,644,628,200,909,366,877,395,010,753,692,460,495,810,805,325,546,
246,360,472,714,233,426,637,060,425,788,007,574,049,763,745,896,727,909,508,
846,358,740,858,091,156,937,502,330,711,636,849,106,163,018,440,126,139,290,
491,862,568,971,913,773,471,049,195,008,945,031,099,632,294,506,033,059,235,
866,396,201,462,623,076,241,977,029,627,711,721,794,166,362,485,628,679,176,
712,730,916,651,348,896,054,546,626,902,413,019,153,514,137,370,093,372,230,
785,064,994,870,313,930,830,378,628,954,289,947,757,652,238,308,821,087,144,
863,132,091,483,827,377,146,537,167,525,404,513,825,065,649,680,891,236,684,
318,993,434,296,260,443,123,963,557,828,982,188,693,373,663,400,824,841,272,
821,266,303,495,972,223,817,690,300,454,416,499,757,740,119,621,293,400,711,
085,651,861,826,072,276,432,231,329,825,537,462,582,017,556,322,720,139,188,
566,582,900,393,895,699,914,477,450,581,771,441,094,679,203,459,489,101,821,
633,393,567,696,690,757,078,232,059,608,207,857,498,465,306,880,404,920,746,
388,422,846,813,884,549,898,071,061,626,092,403,889,881,171,116,573,792,283,
391,705,995,313,813,395,841,012,253,364,584,093,967,387,533,960,164,503,988,
551,468,563,940,770,161,832,704,270,777,803,461,208,098,715,331,091,527,532,
669,262,800,816,846,998,811,178,859,729,142,673,797,672,372,924,062,208,420,
780,447,384,266,794,155,625,820,079,525,977,352,880,865,566,338,618,433,367,
565,484,019,994,961,992,479,191,754,822,045,466,122,691,822,219,431,806,464,
530,312,341,548,980,795,622,074,900,677,099,032,858,705,104,370,073,779,501,
619,744,645,654,296,894,707,975,131,595,725,565,846,933,368,275,599,878,023,
342,838,301,481,525,493,841,289,613,962,972,413,104,795,651,633,633,624,639,
782,256,350,564,822,878,552,965,015,989,182,513,749,644,904,042,827,488,975,
541,095,589,197,137,440,000,226,971,359,252,812,909,981,304,008,299,185,700,
277,236,777,410,189,534,498,742,229,176,533,474,860,277,568,618,071,662,964,
039,986,778,285,326,807,486,999,964,354,805,768,489,657,690,480,961,929,943,
048,054,111,939,999,207,289,572,414,931,593,906,224,891,424,240,677,527,995,
995,132,754,975,866,769,857,771,894,294,315,816,753,331,406,727,034,293,395,
664,240,821,711,724,702,636,906,436,021,575,801,231,823,505,949,299,163,968,
608,719,241,370,674,707,506,459,529,296,300,995,048,199,027,641,717,548,271,
996,063,651,179,924,808,334,152,688,435,688,355,308,129,708,393,991,543,579,
132,861,024,277,647,468,551,477,626,122,670,950,947,994,196,489,274,693,785,
061,947,031,654,330,127,226,504,955,136,759,390,204,094,704,668,669,299,860,
094,997,258,488,599,309,324,437,835,034,875,832,851,791,542,385,853,243,039,
623,116,686,285,992,167,245,101,295,971,330,435,452,575,592,068,257,326,502,
868,498,068,803,799,934,074,200,820,933,484,053,809,721,097,599,472,083,037,
171,003,076,025,852,423,387,751,975,356,342,581,381,880,603,877,792,507,954,
626,184,847,321,270,172,300,630,810,200,304,795,678,249,138,032,180,962,300,
506,848,087,838,315,637,508,013,418,065,009,144,455,375,211,916,058,059,246,
426,237,719,409,886,356,496,750,468,848,410,260,580,299,081,150,802,901,093,
270,470,176,610,977,172,610,763,702,846,025,212,765,376,835,516,927,406,910,
367,124,675,841,531,728,485,131,168,565,674,058,825,811,319,281,955,219,779,
968,775,802,985,639,318,420,997,023,309,194,203,450,215,318,084,418,532,694,
223,167,242,938,506,719,830,843,680,618,178,268,496,261,876,966,933,014,736,
939,459,653,927,101,406,004,054,317,910,040,991,177,744,097,573,121,246,975,
306,095,560,298,808,234,239,558,213,251,421,605,766,054,891,048,720,345,534,
583,317,639,234,735,567,944,878,052,411,185,648,022,329,932,556,000,907,308,
336,753,398,506,221,789,603,052,543,486,664,184,775,219,708,806,740,138,361,
061,029,300,935,899,326,370,960,832,953,523,400,901,743,873,842,364,688,127,
117,936,558,113,581,120,975,507,372,987,681,856,121,866,668,041,865,787,573,
730,534,885,282,695,249,767,563,185,228,031,974,229,743,482,218,655,041,412,
774,422,576,080,928,335,088,286,135,022,780,592,636,078,134,867,178,037,669,
742,478,534,089,134,095,415,537,617,680,695,952,579,523,276,522,050,190,090,
721,645,371,106,498,892,103,448,141,614,999,586,421,107,914,880,452,237,094,
175,604,363,743,669,740,021,561,936,545,516,336,006,770,246,925,511,337,791,
787,240,517,902,319,980,130,012,421,561,010,725,841,125,324,807,784,781,656,
894,621,095,835,907,123,490,609,116,165,707,289,719,995,076,607,994,883,126,
406,979,676,041,570,776,972,820,852,147,484,690,457,594,095,274,994,519,005,
620,621,537,781,668,716,262,376,777,526,736,737,736,359,883,678,118,345,324,
837,797,100,553,676,675,726,707,922,143,150,434,422,282,458,283,507,401,658,
570,517,077,443,028,155,466,866,207,943,913,981,075,807,427,383,720,738,217,
789,337,154,583,729,968,205,143,703,128,068,673,076,655,229,773,651,123,213,
704,737,726,606,555,165,454,262,113,571,381,072,229,613,272,037,545,036,091,
092,475,969,155,989,770,242,116,688,833,337,574,877,315,808,903,591,529,945,
069,653,812,001,479,538,129,347,473,256,617,713,721,974,828,045,141,039,273,
795,941,993,470,060,826,956,683,375,660,122,847,413,866,992,378,693,829,103,
632,564,274,452,551,563,797,867,951,988,403,960,852,723,208,342,806,873,571,
020,650,533,679,061,969,147,303,242,677,957,560,772,063,856,133,062,453,482,
564,876,302,439,887,601,658,756,771,892,986,135,911,204,351,905,668,598,510,
695,724,292,696,254,848,877,560,525,468,926,317,804,777,560,585,390,840,370,
080,007,189,248,525,921,249,904,219,927,354,488,584,684,564,621,135,514,232,
976,557,592,998,524,457,716,019,010,576,600,467,351,885,520,117,264,557,323,
135,453,441,146,819,088,489,129,360,015,130,218,055,558,770,964,543,605,829,
106,262,592,704,275,824,412,546,314,932,923,072,305,201,985,378,936,252,549,
809,341,314,787,446,614,413,076,562,253,583,890,432,206,113,369,397,544,614,
317,952,280,556,460,351,238,292,531,628,529,982,150,198,031,317,703,109,161,
881,584,537,454,015,296,306,382,079,725,523,751,523,723,150,200,183,313,703,
115,719,693,281,140,401,123,892,352,956,618,016,627,027,257,814,654,767,117,
126,456,826,524,419,264,792,569,270,831,460,564,783,353,342,997,430,240,278,
585,045,924,535,756,946,405,296,014,378,416,778,153,345,273,400,788,731,860,
358,371,792,876,957,409,651,867,915,696,094,003,806,884,956,218,231,249,724,
868,000,934,494,017,851,810,053,632,144,119,821,798,818,774,445,590,790,751,
635,063,083,615,236,211,017,132,233,522,065,973,222,529,213,002,220,503,144,
249,674,879,837,592,407,409,623,076,619,283,415,187,440,055,860,013,726,723,
374,093,417,351,380,632,103,003,836,959,929,992,275,298,127,216,360,203,494,
960,397,031,797,084,008,498,340,010,065,622,740,019,258,652,966,814,442,229,
068,047,860,651,969,413,258,212,467,499,211,988,986,294,834,326,200,894,777,
847,380,200,654,541,280,247,890,784,024,227,788,112,267,304,597,248,909,660,
459,483,345,971,877,590,007,808,191,949,041,207,155,517,738,806,094,884,145,
452,887,111,805,963,980,614,507,325,213,744,033,086,598,173,617,430,072,710,
085,665,507,186,622,040,827,983,002,038,055,784,052,925,159,011,643,047,414,
001,277,999,119,082,126,165,086,766,646,290,202,768,687,918,563,878,408,609,
439,544,098,559,774,176,961,711,368,016,341,712,672,899,450,965,439,294,604,
081,388,205,756,729,214,928,957,859,763,153,985,237,493,046,144,775,028,822,
256,513,504,881,269,153,269,479,572,071,011,889,167,695,629,429,500,737,983,
079,413,915,101,833,801,461,217,547,627,565,156,576,628,370,083,039,322,068,
959,774,260,229,577,586,563,410,860,933,507,935,644,641,462,511,603,153,502,
027,323,027,064,231,627,398,613,389,912,248,278,498,870,076,841,137,742,042,
440,282,106,350,364,646,514,478,506,809,131,247,953,996,107,191,395,537,094,
129,214,577,078,544,406,993,629,290,324,534,122,684,588,946,824,644,562,359,
074,338,853,302,221,008,076,802,499,866,719,445,303,530,234,895,935,020,623,
231,654,732,704,580,001,128,138,957,253,650,041,295,756,561,639,474,808,435,
977,910,750,182,163,177,142,044,907,410,111,103,690,351,089,899,823,717,710,
744,462,738,644,942,836,100,287,250,485,187,990,363,664,778,484,260,583,679,
581,974,099,899,190,394,837,954,871,519,660,898,728,917,044,950,810,962,539,
218,242,042,391,523,735,570,149,689,975,214,434,274,986,912,310,948,408,810,
111,241,777,090,521,297,383,380,416,797,378,259,969,850,833,006,463,932,059,
654,432,971,002,176,862,867,125,649,784,263,157,065,722,466,081,936,395,006,
786,615,408,722,899,069,610,999,018,647,530,116,278,173,388,298,910,456,471,
075,351,092,733,501,024,882,548,114,233,979,185,194,445,929,089,837,418,155,
046,748,784,662,975,990,081,627,499,923,962,731,008,593,273,358,394,129,857,
957,357,654,765,632,774,361,018,438,722,825,258,293,093,422,081,121,108,534,
735,051,944,174,872,329,640,768,907,559,648,664,114,600,838,780,880,780,449,
663,232,445,050,979,400,281,198,174,730,017,992,989,881,926,468,430,833,018,
528,256,855,963,119,774,288,939,267,187,816,505,269,578,175,648,407,411,254,
350,038,404,652,478,538,811,862,541,807,319,975,313,246,865,551,102,104,656,
880,728,605,404,730,380,978,725,200,556,176,622,291,404,980,105,106,236,920,
357,073,643,195,303,135,210,935,956,288,218,212,866,573,302,633,797,244,908,
645,824,775,691,583,009,956,342,191,369,503,175,323,395,604,122,772,078,401,
435,699,072,436,941,021,787,839,721,665,372,340,036,436,679,704,092,884,839,
615,713,725,498,795,184,757,163,219,976,616,698,831,921,508,265,723,497,672,
911,035,426,684,241,730,565,292,305,178,566,391,072,236,929,140,468,572,750,
644,272,106,068,804,750,725,344,166,542,078,986,622,112,889,525,563,097,403,
243,856,247,629,583,902,217,395,638,516,556,378,539,524,274,354,682,121,500,
119,641,024,557,920,746,466,136,086,191,581,497,681,805,218,465,737,131,652,
763,027,732,637,775,441,454,201,099,360,550,600,761,486,890,969,778,439,864,
385,943,605,792,810,915,057,692,526,370,764,829,627,269,843,738,106,693,711,
661,287,248,498,664,395,897,031,416,086,084,024,662,922,352,376,746,312,093,
673,442,610,819,660,112,015,891,879,165,201,405,739,092,049,074,767,380,219,
294,625,267,368,983,032,222,276,517,924,236,923,224,346,683,130,963,159,780,
834,056,811,633,043,540,845,835,692,559,946,172,685,295,653,338,637,839,493,
557,386,364,336,823,688,018,746,962,221,218,241,385,563,654,807,710,422,806,
789,399,838,420,852,410,902,820,143,837,519,845,130,417,889,062,501,474,744,
031,179,336,952,035,242,452,751,571,416,928,587,055,885,406,978,206,554,345,
258,099,150,891,389,723,329,653,968,372,519,376,892,598,455,079,876,407,385,
450,511,008,264,879,276,127,229,984,512,896,625,366,380,526,998,466,719,226,
828,539,115,895,746,123,187,015,294,710,863,512,403,035,058,249,930,588,289,
691,811,690,014,151,761,072,009,298,014,492,146,623,736,356,560,310,263,444,
240,228,295,421,259,911,690,806,503,403,101,844,066,537,601,408,814,118,855,
389,410,765,584,147,863,446,974,068,426,639,512,378,023,449,342,936,005,067,
000,652,405,949,052,509,535,293,998,178,122,929,278,363,968,624,293,543,101,
573,946,461,754,200,056,657,513,309,661,440,084,970,170,944,327,446,369,117,
626,372,445,305,415,595,570,262,782,571,274,697,453,329,459,465,642,461,887,
803,573,224,629,838,873,915,358,384,772,521,809,357,479,609,328,307,024,099,
825,818,508,797,052,206,543,319,623,048,533,388,875,763,095,767,587,091,723,
744,200,436,273,124,778,259,129,942,904,541,366,372,923,343,874,223,801,529,
134,777,951,801,774,868,237,264,009,003,923,493,032,033,587,327,470,604,308,
862,129,848,843,706,459,402,689,432,848,639,316,185,544,937,240,385,303,764,
103,118,265,713,824,000,228,678,895,148,365,249,825,974,241,418,676,397,788,
411,097,896,032,334,800,906,671,083,500,985,947,129,839,594,542,719,557,702,
806,903,515,671,677,634,688,538,312,957,375,830,712,449,843,872,727,029,306,
148,300,396,155,388,149,833,866,475,604,233,533,570,845,623,006,420,615,011,
387,630,204,960,070,790,923,966,372,173,395,058,671,210,344,084,148,954,489,
311,512,141,243,971,836,701,493,906,733,094,393,816,871,996,408,599,772,926,
854,801,251,752,958,045,566,308,680,490,448,182,306,818,353,366,511,588,275,
899,707,574,905,808,548,883,188,584,728,556,622,352,918,768,473,878,927,158,
775,579,132,659,746,122,356,235,827,841,286,909,143,730,147,033,738,782,443,
589,898,529,385,496,689,481,286,374,144,376,534,692,798,923,267,614,404,785,
389,023,821,615,664,448,243,780,322,362,397,740,332,636,376,948,071,892,377,
268,025,363,827,879,906,578,419,888,833,004,418,475,726,731,611,182,281,089,
228,492,724,117,738,737,096,274,525,873,870,657,090,554,703,222,183,554,259,
987,024,785,533,585,386,343,099,065,000,539,999,805,349,054,308,764,455,161,
502,704,237,221,989,693,308,680,856,443,085,759,663,681,185,139,097,752,908,
598,398,576,081,699,684,275,076,106,221,873,394,223,213,406,873,576,971,584,
131,750,832,963,744,882,109,162,421,819,433,843,036,710,398,761,542,325,787,
490,702,094,539,999,423,543,782,400,244,182,468,111,481,373,902,962,451,620,
725,909,597,478,191,283,668,224,849,231,323,696,283,908,170,983,234,386,754,
243,856,049,181,751,367,100,914,146,787,293,348,676,085,235,829,236,521,674,
968,200,130,767,134,087,948,708,386,573,568,312,824,842,037,238,153,708,819,
023,023,706,084,810,793,359,203,365,159,300,516,023,986,843,784,820,235,260,
583,912,484,014,196,925,871,903,909,752,472,334,137,525,431,842,416,469,582,
286,280,783,153,545,927,672,984,231,410,126,548,108,014,758,016,635,868,774,
298,030,366,748,438,842,862,853,427,165,201,182,136,418,736,498,153,311,483,
595,812,604,171,148,760,978,896,267,902,747,418,360,289,421,665,752,530,669,
273,867,946,477,888,182,776,400,917,249,094,911,749,568,215,689,095,755,455,
586,078,753,636,274,235,593,793,964,612,702,809,691,783,912,995,067,219,827,
940,744,527,005,317,864,075,239,518,126,167,978,739,808,129,035,276,982,018,
863,634,946,264,902,581,745,471,246,328,984,570,041,160,322,942,221,354,114,
286,582,445,051,600,369,075,509,022,570,749,011,438,712,264,721,012,645,110,
381,338,255,986,250,070,401,674,248,375,646,807,968,017,489,766,346,512,110,
093,162,428,717,461,419,080,255,788,577,502,904,359,616,226,062,263,230,387,
492,274,768,658,215,850,667,018,867,203,477,375,579,216,959,367,975,341,547,
015,317,532,983,800,333,520,470,880,744,767,454,119,951,048,014,495,091,824,
145,727,489,463,646,967,259,057,739,452,663,122,780,249,748,116,202,959,703,
362,204,318,482,504,289,684,770,630,265,854,617,961,769,509,720,384,291,246,
355,850,829,779,101,633,084,966,381,758,938,505,982,509,668,500,884,289,642,
179,391,416,029,408,035,417,291,298,218,319,304,327,967,608,004,057,849,846,
897,502,929,712,944,502,069,601,602,345,493,842,592,606,205,293,837,944,167,
241,817,382,715,905,587,398,846,673,408,527,940,332,172,256,451,489,025,522,
514,007,262,093,277,956,691,928,306,663,724,872,333,836,280,809,861,948,624,
970,274,832,694,633,958,119,394,928,370,614,215,705,350,818,779,703,131,449,
727,674,855,230,736,880,352,715,331,864,540,136,309,331,183,484,948,842,654,
656,981,832,887,706,489,882,669,552,856,342,570,404,580,904,204,884,594,955,
768,101,817,448,647,745,760,632,011,089,352,288,399,504,313,812,922,997,334,
413,758,902,184,587,344,139,403,263,918,358,971,230,823,991,468,278,536,756,
182,777,526,566,070,785,987,716,806,019,003,157,362,409,027,121,078,788,259,
442,108,689,195,051,890,003,915,723,859,876,910,863,975,714,581,393,908,576,
712,548,254,029,544,320,245,856,573,314,162,327,028,677,512,668,386,159,917,
685,882,125,445,040,698,128,158,036,788,182,143,120,277,681,752,588,254,802,
168,987,378,935,626,880,405,977,581,296,094,277,398,757,055,298,959,632,774,
801,459,177,165,474,571,633,831,320,268,441,789,819,793,838,522,731,026,250,
984,495,375,645,025,871,221,706,176,414,981,486,360,934,287,186,166,722,123,
914,621,786,834,550,195,885,583,181,596,790,234,361,178,993,838,850,788,936,
341,854,972,824,579,446,068,067,205,634,729,748,495,556,740,322,912,799,332,
695,588,598,920,011,694,560,422,258,034,945,927,361,201,970,765,571,085,577,
848,537,016,377,862,599,626,706,755,365,265,367,720,097,806,340,500,851,641,
556,298,865,176,746,457,237,592,077,752,011,118,930,039,633,371,612,308,496,
029,071,040,287,189,147,212,645,161,816,333,394,660,791,811,852,492,301,246,
440,748,458,627,707,730,406,189,218,686,367,386,164,820,392,424,713,392,708,
800,984,291,066,571,332,073,982,484,749,815,010,625,690,599,200,141,966,652,
716,045,974,230,753,552,119,476,954,601,325,475,191,367,205,416,222,885,767,
876,192,053,977,844,911,147,087,077,397,223,870,906,695,561,244,071,047,408,
354,505,750,191,576,163,640,215,486,450,871,637,236,931,862,097,454,693,199,
253,776,244,520,198,690,716,214,149,617,547,289,389,031,934,675,425,704,250,
910,946,597,735,174,077,386,593,909,005,491,937,560,017,728,854,648,629,300,
230,155,176,490,319,736,142,430,903,612,205,868,545,641,844,953,713,126,224,
547,825,410,569,669,890,803,090,378,843,375,600,233,365,810,700,292,912,619,
359,145,551,689,174,801,604,723,668,844,883,982,426,956,082,841,929,120,568,
808,851,458,006,433,079,216,229,355,425,562,413,939,120,872,270,088,733,667,
066,283,601,368,421,228,948,891,739,576,480,755,244,427,148,477,019,906,355,
030,543,388,227,411,140,685,999,764,676,230,476,685,915,922,284,300,045,862,
434,665,605,801,221,860,876,702,158,938,491,527,194,654,060,309,475,088,244,
168,082,727,003,331,242,119,148,669,337,757,874,905,364,588,926,959,840,463,
807,081,674,836,576,871,339,594,695,100,813,539,205,161,447,045,448,871,702,
429,747,199,140,631,963,373,466,546,057,603,598,691,855,761,685,212,970,800,
329,877,555,652,112,899,835,328,633,712,741,667,446,905,776,634,184,461,240,
309,716,450,985,787,264,583,902,534,963,740,381,650,024,140,897,133,619,406,
066,492,707,402,358,140,944,699,027,577,685,019,037,309,515,759,276,014,103,
908,455,859,464,211,351,641,655,046,731,410,902,591,409,342,327,784,093,752,
841,785,355,584,439,830,273,468,054,357,912,444,108,778,373,113,831,086,702,
308,061,300,717,133,395,371,187,694,678,801,462,006,799,042,285,832,732,259,
407,607,291,290,483,715,868,146,979,332,023,260,268,523,230,355,258,650,639,
977,305,799,787,459,440,111,929,205,656,398,543,728,244,730,492,661,315,591,
247,315,857,536,018,261,320,638,077,423,118,359,966,882,405,418,834,177,395,
773,823,954,000,754,473,839,688,704,903,965,361,908,603,024,328,238,784,638,
926,340,590,380,894,825,866,107,465,875,175,788,301,288,692,102,510,153,227,
386,450,946,070,893,337,286,604,102,707,772,820,172,509,799,295,780,773,947,
520,860,769,142,178,045,548,197,891,861,449,136,738,691,500,702,225,282,142,
959,469,083,192,648,595,366,300,569,138,156,002,908,738,318,586,477,588,930,
454,918,276,478,023,170,839,241,824,681,064,330,872,640,477,742,214,044,187,
882,408,117,232,416,517,880,818,719,019,605,941,771,880,847,282,975,436,908,
340,856,448,289,634,095,925,322,943,164,958,489,697,593,181,212,251,203,448,
072,516,523,427,025,223,395,462,319,003,419,786,175,745,214,634,368,498,891,
373,821,108,650,397,603,209,547,646,752,929,932,636,170,772,030,751,637,994,
869,069,341,361,193,822,644,364,206,435,665,626,333,637,993,221,487,007,266,
785,891,137,204,303,294,427,292,113,402,871,821,068,423,946,516,098,870,741,
258,416,274,013,869,597,309,444,893,569,019,274,633,757,703,889,255,487,221,
254,755,277,870,156,957,428,469,395,951,366,412,016,474,460,410,827,530,637,
282,083,899,557,146,135,770,751,399,557,438,130,812,343,038,163,473,290,050,
696,688,160,536,444,949,659,431,883,785,189,204,587,399,481,479,318,972,667,
918,833,179,752,493,746,654,974,649,217,790,891,835,229,218,449,005,640,109,
993,770,272,950,620,718,571,543,611,773,687,942,824,607,006,360,148,924,957,
562,623,457,401,707,810,403,677,991,310,219,954,915,386,052,768,660,526,986,
586,646,557,760,663,478,329,236,852,864,323,010,025,884,469,303,831,360,223,
744,583,179,488,845,099,112,301,593,889,561,880,574,414,059,891,143,685,271,
690,021,988,688,776,799,639,923,387,226,518,386,196,246,573,767,185,209,435,
591,699,544,601,924,709,889,357,255,585,240,105,877,433,587,313,382,387,424,
915,754,558,801,048,535,327,263,364,029,992,731,164,330,803,921,231,145,306,
302,672,391,390,830,519,250,524,566,882,113,707,836,052,724,015,303,800,512,
782,204,761,181,187,301,397,892,076,898,692,679,915,811,141,562,273,805,557,
637,899,199,872,878,202,515,046,991,825,735,374,244,952,949,160,915,329,856,
954,469,543,410,082,105,202,289,749,579,699,568,602,700,310,992,482,147,027,
911,598,208,850,858,253,273,931,413,050,426,448,978,786,349,460,150,863,929,
974,917,207,599,777,010,606,535,405,194,661,080,649,634,991,106,875,689,473,
581,749,284,056,448,599,010,127,315,275,498,388,284,038,490,304,949,947,210,
720,889,778,729,962,776,131,380,778,737,112,261,835,769,691,345,717,991,126,
929,612,537,242,766,378,873,803,173,076,111,782,940,213,329,922,108,494,490,
362,128,562,720,779,986,697,926,210,451,091,053,107,463,543,384,483,863,600,
897,032,409,054,877,416,750,238,146,916,028,633,774,211,351,010,070,804,951,
579,785,694,186,835,701,529,411,570,928,999,095,470,511,595,664,395,224,400,
175,715,825,253,430,712,471,875,078,421,514,830,899,060,258,688,201,099,949,
620,670,639,637,644,457,707,978,807,504,659,730,060,571,820,423,077,785,954,
131,107,144,176,876,170,205,866,214,046,366,532,228,838,424,086,954,744,962,
778,570,981,101,104,246,519,562,117,176,491,655,405,547,369,725,571,793,382,
037,545,148,862,119,476,430,562,164,752,421,425,796,486,819,211,666,172,600,
333,828,944,398,122,694,627,524,375,349,238,797,196,182,213,134,671,230,418,
797,995,887,427,567,079,401,332,861,928,360,286,799,895,641,716,683,439,826,
384,533,316,738,379,718,296,994,544,740,387,350,260,575,294,853,234,159,681,
807,085,043,646,598,390,878,547,128,898,572,608,616,353,903,145,826,584,535,
445,962,273,987,279,359,131,678,093,871,983,831,767,071,808,665,469,317,518,
614,763,439,092,916,514,522,160,884,677,829,046,166,833,615,009,018,599,396,
964,905,250,011,313,062,669,155,466,173,874,316,065,064,675,281,682,415,025,
540,809,730,260,574,038,327,992,932,982,986,084,373,901,579,775,931,244,011,
713,466,572,277,608,206,412,423,418,085,476,016,012,998,377,092,917,276,891,
392,727,587,706,343,376,315,598,648,923,762,271,939,831,538,978,015,472,572,
763,498,071,764,431,027,066,088,122,791,306,885,215,531,904,346,093,871,052,
942,633,053,170,627,547,301,388,041,050,262,215,254,419,832,352,241,829,653,
091,905,844,502,626,637,124,848,341,135,598,669,192,744,883,816,363,864,013,
865,774,002,622,289,061,546,592,088,447,227,028,482,981,308,016,241,252,607,
731,453,932,117,720,758,717,097,325,682,029,423,722,112,535,999,911,089,656,
539,187,628,844,879,501,858,769,652,194,761,682,570,859,606,632,067,900,820,
075,390,508,557,293,188,422,950,113,387,494,452,791,130,298,218,045,472,642,
744,576,568,942,254,583,504,086,882,913,285,256,614,652,596,353,390,604,368,
685,551,410,946,502,029,401,268,713,383,186,817,895,944,121,191,231,882,883,
407,574,812,595,347,663,887,531,595,858,594,205,299,812,257,615,732,237,801,
845,900,573,864,602,938,547,671,653,299,643,427,771,731,884,093,319,399,676,
444,109,480,401,721,442,864,611,491,841,087,053,635,810,329,412,753,075,213,
451,080,244,763,245,968,996,829,768,928,418,782,774,849,311,625,081,048,326,
596,406,686,871,320,231,613,734,496,437,020,731,906,699,903,139,022,769,609,
144,835,154,498,093,905,493,801,551,985,671,912,381,987,137,934,834,065,207,
942,171,718,528,607,152,343,009,358,750,111,664,760,306,010,304,705,475,297,
196,624,114,508,046,513,475,791,158,878,491,043,592,303,291,627,833,180,512,
697,033,143,588,967,009,038,705,024,134,080,885,577,116,980,299,411,086,985,
575,351,492,403,797,538,361,214,540,240,086,477,459,596,354,669,569,676,890,
325,478,764,034,487,136,569,833,009,287,410,232,312,215,627,289,279,921,222,
701,417,862,696,378,877,992,516,927,906,928,049,756,408,444,996,638,915,270,
697,567,706,245,893,137,408,161,675,216,384,758,077,708,464,993,486,702,315,
655,509,894,042,197,330,915,365,372,365,127,400,749,410,222,020,079,505,340,
376,144,742,280,518,631,494,035,790,702,220,039,311,821,331,311,948,999,178,
801,022,966,138,576,657,187,739,698,143,836,330,304,926,075,048,798,174,394,
600,620,464,240,564,030,498,693,211,910,372,133,448,610,475,964,270,542,616,
444,746,475,198,801,315,886,676,748,777,305,159,914,059,945,169,226,585,287,
414,882,614,682,649,894,526,978,429,493,282,918,651,217,549,636,883,054,781,
247,825,190,800,677,510,171,892,953,369,874,030,336,426,289,447,273,625,624,
049,465,363,786,137,641,298,666,398,948,110,872,763,754,988,294,461,927,820,
112,486,551,486,915,401,171,968,610,591,719,153,746,121,181,103,606,737,791,
313,972,864,383,377,377,026,654,793,789,174,583,739,497,077,732,838,577,993,
303,440,729,764,709,134,564,229,848,466,359,148,936,524,676,000,401,595,092,
034,216,877,283,923,484,399,348,720,349,334,961,509,030,418,709,194,248,536,
939,114,687,294,291,943,016,699,984,503,355,369,085,994,336,868,905,691,236,
722,151,518,245,940,689,341,911,532,406,318,046,417,882,528,878,958,578,406,
021,305,970,011,710,508,228,546,715,274,497,675,632,280,316,884,961,785,355,
012,449,604,179,879,086,965,434,523,923,415,122,074,024,042,064,854,942,355,
607,092,094,050,608,914,740,565,928,690,524,602,504,702,287,546,046,101,737,
648,964,002,321,441,646,888,528,746,335,848,158,093,240,196,793,731,008,170,
425,664,429,345,408,687,933,214,875,615,797,730,363,086,215,189,054,937,673,
341,153,394,279,527,332,173,348,156,145,550,511,868,847,417,184,597,176,332,
104,848,144,101,220,803,349,375,191,716,845,617,314,072,759,333,546,410,129,
673,538,014,037,988,160,822,163,508,138,235,636,696,616,599,945,327,331,706,
891,654,719,818,485,618,254,410,117,414,012,266,659,240,224,987,273,701,997,
017,233,924,870,512,809,067,050,805,374,546,269,271,645,997,858,516,627,286,
177,608,722,138,955,964,295,137,257,273,002,361,898,976,985,770,620,917,315,
306,623,500,434,320,770,926,807,415,675,159,896,350,486,905,083,546,731,672,
192,512,127,043,100,742,754,289,531,915,427,418,256,982,904,537,280,079,777,
194,564,074,556,076,997,268,869,279,834,801,633,694,488,354,128,318,901,001,
881,115,426,669,989,365,722,520,720,985,777,591,027,596,223,369,493,408,709,
802,061,919,179,086,485,850,747,415,673,876,427,280,401,962,510,072,706,546,
527,788,610,514,206,555,153,670,015,719,428,061,161,356,619,348,071,914,600,
868,793,752,565,485,706,251,122,361,046,769,917,056,110,677,799,742,904,961,
766,122,918,470,149,241,322,512,480,140,064,038,930,879,285,400,498,905,167,
808,697,922,666,252,624,869,264,750,216,392,832,752,576,789,801,188,574,000,
585,919,393,696,488,599,540,234,735,264,938,887,206,633,734,616,634,442,272,
544,141,882,075,366,422,415,605,767,663,899,881,248,528,321,572,568,714,159,
712,424,465,496,086,654,892,180,931,411,904,479,096,927,400,621,712,620,392,
194,008,846,040,484,749,239,117,438,169,531,785,063,542,786,998,604,988,519,
447,394,921,113,247,916,860,830,107,474,422,664,406,890,549,848,444,275,278,
992,053,373,147,774,350,472,105,553,400,774,874,334,367,808,095,160,556,953,
077,207,246,625,342,205,868,743,302,238,199,754,737,639,736,483,337,518,643,
089,050,217,948,521,194,286,808,363,085,504,703,906,415,530,237,258,975,297,
362,670,935,480,476,352,281,938,584,903,718,154,078,384,278,646,373,693,253,
899,124,459,129,914,058,617,559,756,088,518,343,599,227,591,543,132,663,437,
785,886,794,379,199,672,554,444,287,083,654,078,422,417,957,454,833,794,612,
253,735,330,317,859,218,151,704,884,191,250,993,295,926,676,351,660,611,222,
957,683,660,804,387,893,745,941,912,285,690,152,137,774,055,095,437,008,140,
530,824,153,809,301,445,113,030,266,277,337,139,600,469,059,319,823,025,086,
431,622,819,604,384,245,510,163,472,133,937,681,190,928,237,972,361,454,952,
065,893,977,248,994,773,884,557,553,589,248,056,584,807,292,192,485,981,985,
154,512,285,066,970,961,117,255,859,712,416,250,075,992,702,466,019,697,315,
346,555,447,190,306,286,264,491,174,666,261,944,338,799,067,759,756,971,668,
778,564,091,764,997,707,575,614,098,802,440,819,386,260,381,858,085,684,984,
470,453,869,916,483,099,322,883,309,272,107,389,939,058,853,056,510,477,249,
696,178,637,318,661,981,646,236,551,107,712,474,078,859,553,196,516,855,650,
733,451,169,827,593,224,066,927,383,627,492,257,131,533,422,130,887,803,963,
609,701,887,548,094,320,632,441,161,009,610,255,250,431,592,270,663,564,146,
665,355,439,391,870,705,738,724,342,649,356,229,823,818,948,853,037,173,538,
934,284,747,114,803,072,150,613,551,876,356,489,479,978,679,306,982,591,775,
428,248,294,590,824,435,294,305,507,747,733,627,417,936,590,655,876,293,376,
103,701,169,626,218,904,521,757,382,946,392,473,455,927,650,893,852,642,562,
744,307,474,123,359,195,945,177,319,591,022,895,315,839,942,934,728,471,264,
896,115,722,184,477,641,890,147,852,709,628,729,648,824,938,784,528,851,750,
686,925,550,552,387,611,010,168,966,928,478,375,861,189,166,956,667,695,208,
469,951,721,188,848,809,598,169,061,457,059,398,015,114,949,770,100,312,008,
812,840,275,605,581,981,373,801,089,263,003,435,853,154,546,064,485,490,995,
628,023,501,222,244,632,246,983,291,018,425,604,766,886,392,173,333,508,793,
439,396,073,633,452,775,442,154,753,484,599,901,102,692,440,213,296,712,230,
078,554,507,336,348,720,951,231,245,793,812,499,871,953,755,414,842,140,911,
785,427,473,948,865,078,980,806,087,935,659,520,460,671,181,800,945,300,424,
334,472,151,091,303,046,444,368,546,786,766,006,014,720,350,816,706,945,640,
792,094,342,436,351,161,802,824,426,512,071,293,363,248,530,943,439,649,676,
548,784,052,659,714,944,566,339,533,937,717,128,389,798,670,429,930,725,180,
978,820,834,819,195,750,577,263,987,572,261,995,583,339,358,264,984,854,192,
117,463,894,930,049,745,876,793,593,873,379,686,387,341,196,453,352,680,022,
989,951,445,732,868,075,983,068,100,873,825,389,898,375,148,064,028,985,076,
937,135,886,851,387,555,345,169,007,172,415,808,446,745,741,327,315,531,159,
435,613,710,497,207,624,500,222,467,308,212,711,774,482,478,935,348,625,756,
487,734,363,227,105,913,924,996,997,614,115,588,765,719,496,132,068,931,409,
226,496,820,675,024,108,237,096,995,916,427,940,280,636,874,050,201,793,466,
923,679,181,487,437,494,817,512,412,785,865,178,122,720,626,192,805,565,444,
655,600,978,341,063,469,461,107,698,309,736,669,220,024,315,771,712,399,076,
326,583,500,513,336,494,832,194,630,931,247,433,841,185,297,221,928,183,650,
417,481,768,066,548,066,627,347,466,560,482,555,584,830,068,582,441,559,303,
234,662,027,976,228,300,083,746,873,532,457,809,859,828,129,836,969,729,517,
208,545,946,917,885,112,129,146,779,189,766,202,339,705,981,587,166,670,904,
379,586,111,404,962,838,350,964,449,829,366,747,475,968,051,413,987,868,228,
751,456,491,642,733,932,585,347,908,326,174,936,851,025,242,772,346,655,300,
515,291,957,818,404,705,265,109,575,591,163,797,521,406,696,218,989,016,876,
731,984,757,390,103,085,321,083,354,800,760,673,417,506,428,290,626,561,234,
634,092,869,953,636,904,805,232,478,643,750,116,842,910,790,281,719,450,156,
604,756,423,628,879,746,319,696,945,718,288,182,963,006,909,029,872,531,992,
510,397,182,613,763,517,164,623,262,895,480,186,029,261,046,180,653,722,227,
152,011,293,241,545,263,749,833,709,605,381,199,676,076,233,318,424,281,711,
464,314,433,098,227,237,356,963,382,098,096,636,543,956,782,267,152,593,637,
247,657,715,419,736,956,935,212,509,434,504,834,238,022,720,280,855,570,940,
993,009,088,966,224,728,547,702,882,718,997,168,491,051,996,753,020,828,824,
757,187,212,760,478,745,751,523,266,816,613,930,117,626,446,855,759,011,676,
625,435,886,532,279,893,979,691,740,598,856,113,870,099,823,936,856,497,581,
701,324,823,315,753,403,802,604,808,447,263,433,425,670,128,098,357,181,457,
529,167,986,792,564,079,329,885,059,053,622,172,911,539,637,104,640,405,094,
783,395,884,077,096,160,374,633,163,152,002,130,339,416,123,724,288,579,750,
629,946,070,343,146,821,627,656,919,793,123,767,919,331,850,493,354,588,093,
662,110,731,045,112,247,012,726,770,394,795,533,325,013,323,856,484,519,259,
074,080,408,443,904,524,284,415,883,015,879,448,525,156,285,459,988,994,008,
868,725,012,453,496,380,513,217,716,311,315,520,573,509,607,837,721,841,463,
825,652,367,964,577,089,196,853,086,635,935,768,590,360,688,266,375,305,126,
146,710,694,573,561,822,835,628,394,707,853,289,366,452,756,572,589,555,593,
827,972,145,730,361,118,782,598,808,558,888,895,357,180,512,218,143,483,909,
619,078,718,137,896,423,809,005,664,386,155,256,737,369,918,272,870,145,782,
355,859,514,441,094,681,409,261,596,336,725,911,933,415,731,467,617,838,383,
440,045,394,688,072,320,310,932,011,374,573,371,554,919,758,466,182,635,883,
303,120,639,350,027,000,079,747,715,131,503,916,728,701,882,428,608,504,254,
337,536,989,009,157,481,716,375,266,356,097,141,201,589,802,326,242,196,474,
030,817,409,198,950,243,022,011,193,507,251,303,795,928,755,597,089,641,832,
349,481,661,442,538,541,907,220,051,814,969,905,602,612,774,811,056,346,980,
714,980,024,463,279,192,096,180,306,660,815,899,602,493,546,835,740,609,690,
122,542,816,201,839,689,725,831,313,308,479,050,894,480,506,922,831,770,868,
189,832,914,551,335,598,326,133,416,202,633,422,044,824,983,412,183,645,392,
459,459,111,612,827,403,774,100,336,182,528,646,922,384,572,666,305,178,939,
452,676,314,922,708,122,106,243,165,236,010,519,311,522,745,086,436,769,397,
824,375,814,766,631,900,359,901,817,635,985,071,318,034,958,504,888,970,476,
835,902,064,244,321,950,130,717,184,515,668,769,922,286,653,016,902,199,855,
802,970,753,983,040,771,391,426,661,195,225,229,775,399,246,256,548,391,576,
951,104,919,356,730,099,415,536,149,544,569,523,267,326,024,952,482,355,285,
237,669,907,963,317,345,551,588,567,441,987,486,180,354,961,562,860,106,026,
318,689,314,163,438,454,676,272,851,501,820,026,493,257,313,819,953,364,786,
366,346,450,000,231,755,720,347,481,707,026,081,733,218,326,448,519,195,929,
339,696,260,483,940,214,237,966,998,944,791,573,213,161,761,240,163,764,982,
043,780,367,100,215,953,421,384,084,779,025,651,066,552,822,539,139,957,316,
611,363,118,429,631,740,092,527,913,232,020,507,917,952,921,024,985,775,226,
938,180,551,523,388,529,318,034,093,412,622,005,813,486,463,540,011,263,203,
008,642,669,872,749,159,965,960,917,939,714,667,246,348,529,419,861,668,506,
954,430,459,242,072,516,994,210,940,928,523,892,484,336,525,420,531,177,495,
343,899,799,091,275,273,167,120,008,101,819,548,280,783,085,635,717,139,013,
199,447,649,727,325,345,165,050,234,002,691,260,076,127,261,375,827,550,608,
071,376,523,556,324,985,669,070,999,570,441,411,522,224,923,238,741,348,158,
154,925,048,484,970,016,429,847,635,958,623,712,023,022,582,135,497,833,509,
425,863,596,302,318,237,610,110,863,357,275,792,430,316,878,011,793,898,335,
600,675,056,798,135,850,076,295,697,716,015,110,198,696,470,355,166,062,910,
726,218,651,484,925,527,262,363,017,478,323,709,997,373,969,738,769,843,667,
622,062,181,972,680,467,014,843,709,406,478,245,148,413,946,038,317,258,864,
730,611,647,673,261,449,472,585,182,896,610,180,017,391,106,648,561,565,188,
602,669,918,477,006,101,978,562,286,249,946,547,308,908,543,262,305,534,691,
335,989,161,522,554,860,735,306,988,786,572,102,786,005,747,594,962,460,859,
664,230,388,219,737,617,082,192,653,060,486,064,487,790,799,941,094,456,257,
077,909,038,383,464,639,890,418,348,891,949,039,280,066,342,481,737,085,857,
971,510,748,512,506,240,366,827,994,098,583,945,214,190,450,845,017,782,080,
091,569,803,706,634,650,934,549,339,136,121,244,304,054,475,179,332,574,623,
465,135,215,623,718,736,995,117,039,423,008,368,682,329,061,610,289,479,711,
021,387,062,823,414,841,550,817,338,070,009,718,586,609,965,204,025,813,295,
323,803,065,506,915,573,592,974,805,796,108,560,371,199,153,080,174,669,184,
650,160,384,598,291,465,262,172,600,859,240,982,216,407,772,078,541,603,301,
361,337,661,240,964,865,742,519,876,644,874,107,501,382,490,166,561,736,715,
417,873,302,334,852,173,181,944,756,306,585,375,691,924,698,844,060,486,914,
482,588,880,573,288,745,553,693,509,074,230,217,794,640,914,559,852,145,812,
923,714,398,821,402,172,897,338,888,190,777,105,194,681,889,694,093,011,134,
583,864,363,166,500,553,780,464,714,832,582,947,588,846,482,133,007,790,602,
864,128,996,445,133,519,344,850,512,347,393,044,909,446,595,816,533,825,587,
397,703,883,687,873,756,052,212,813,301,666,685,473,486,563,383,296,681,575,
426,494,185,811,779,851,075,137,480,452,785,479,925,766,371,149,240,972,679,
978,421,848,774,131,806,624,150,191,790,402,974,375,269,863,757,763,817,300,
834,778,568,012,923,294,660,522,982,294,271,360,806,667,681,498,343,252,128,
815,668,655,346,824,308,827,136,953,065,614,492,734,231,422,321,682,912,173,
230,863,538,361,322,160,463,524,782,810,020,251,356,825,897,289,308,643,337,
237,111,396,275,734,927,665,549,789,275,753,727,904,207,650,832,465,215,323,
357,450,922,520,755,888,664,883,930,939,085,526,978,367,514,473,388,478,285,
654,762,362,541,237,143,986,030,853,095,434,820,833,174,509,801,169,631,344,
927,947,904,730,183,859,939,016,794,891,341,472,448,270,981,562,320,103,899,
564,262,565,366,731,072,592,376,138,925,446,744,717,300,397,893,341,772,945,
029,668,954,368,496,333,076,795,556,715,736,918,399,957,395,503,870,341,186,
848,701,116,853,319,191,489,802,139,176,645,731,489,361,839,186,899,443,638,
481,015,980,309,725,197,120,893,036,523,344,336,480,576,665,619,088,753,904,
300,414,079,151,748,535,548,513,226,677,257,341,576,074,140,273,722,248,000,
580,911,821,519,082,718,985,811,048,976,735,207,085,775,766,706,739,761,325,
187,590,726,592,198,202,940,196,005,368,146,123,308,009,471,722,016,494,222,
396,181,818,118,169,907,636,667,534,722,527,184,057,806,481,656,725,361,515,
484,065,754,369,846,844,695,271,727,375,668,103,800,636,527,448,229,760,134,
698,454,655,870,292,630,715,062,474,625,655,262,514,431,925,745,329,901,385,
847,232,158,223,057,329,225,983,075,659,809,807,636,977,835,437,964,224,750,
199,726,765,371,798,494,938,285,318,375,840,165,539,547,974,750,236,836,907,
746,962,284,901,330,301,208,474,043,049,367,626,487,736,954,041,049,835,168,
109,455,467,063,805,755,702,417,176,754,287,218,531,989,848,376,948,226,409,
157,364,644,841,870,996,379,739,095,342,286,120,091,866,650,786,010,289,125,
234,761,003,584,259,164,104,732,889,740,546,211,891,854,484,862,052,970,059,
550,690,142,174,898,971,746,711,823,120,743,685,589,227,588,343,054,366,701,
613,300,334,350,251,432,603,170,053,017,826,341,929,319,826,417,337,550,057,
217,354,928,925,346,344,364,669,100,460,264,768,494,116,179,302,164,753,246,
663,944,038,895,550,746,937,654,383,753,853,717,869,965,209,544,929,329,388,
921,789,830,747,908,258,271,573,163,752,440,563,524,102,672,704,702,274,351,
169,396,505,526,160,062,975,412,552,947,605,805,007,731,076,350,634,330,825,
882,519,817,888,776,827,076,579,753,348,442,978,342,845,118,971,744,041,533,
953,824,780,529,428,939,511,962,612,272,973,675,059,408,428,722,415,429,697,
964,532,606,652,690,420,610,583,208,071,856,261,784,302,731,965,508,264,421,
719,423,459,778,137,241,300,261,742,484,643,339,327,626,401,090,734,790,268,
770,677,541,056,865,373,676,000,256,667,442,472,385,655,855,319,510,914,737,
204,431,886,885,243,269,609,647,072,384,168,970,446,031,056,200,550,128,843,
911,958,268,900,139,754,629,114,733,740,751,762,433,954,018,646,065,076,242,
767,650,979,695,489,222,110,775,990,135,647,392,123,061,483,488,993,842,067,
273,540,986,871,762,828,542,828,379,606,789,597,088,623,119,180,088,802,143,
134,510,116,659,644,125,871,786,745,688,774,091,731,439,319,474,614,920,233,
681,363,871,559,904,765,905,124,968,860,097,184,839,199,471,020,075,167,203,
352,029,662,777,179,755,747,592,845,197,585,264,877,481,206,657,832,111,786,
796,919,546,872,342,311,354,537,000,145,186,526,686,405,231,882,377,498,826,
371,799,554,550,809,827,773,606,195,954,541,240,018,560,829,733,914,760,865,
806,565,791,299,943,703,512,416,725,366,066,602,302,665,192,476,637,615,575,
802,580,973,663,364,323,267,892,566,594,207,335,963,361,392,097,027,827,354,
730,288,088,007,445,265,952,912,427,009,318,125,411,412,643,392,325,535,462,
924,224,813,629,763,372,557,628,478,372,575,838,622,595,138,502,533,220,000,
549,682,622,160,736,947,859,767,414,074,325,283,749,636,729,234,199,511,955,
913,820,184,966,154,583,875,716,609,693,355,964,093,550,597,628,005,970,550,
380,782,685,767,237,961,684,461,697,236,431,308,303,391,786,095,777,647,097,
479,148,128,923,091,331,393,030,534,157,788,294,001,323,435,914,683,186,402,
971,698,749,347,893,391,224,873,907,251,594,465,888,456,514,630,524,724,257,
700,138,285,419,784,132,815,642,634,600,828,292,785,769,754,089,429,498,713,
344,380,967,376,988,454,680,648,702,185,128,492,921,615,031,982,099,437,944,
306,551,078,040,202,769,388,302,039,293,193,238,589,889,021,003,905,697,894,
126,693,799,381,988,100,017,325,735,049,204,708,534,705,332,626,534,016,896,
157,274,547,172,957,471,047,027,141,282,664,635,840,003,420,481,770,323,010,
972,496,523,784,623,531,568,611,249,415,195,417,406,747,597,613,260,946,900,
422,345,289,075,954,789,795,774,767,539,726,612,634,805,149,871,705,740,170,
760,850,875,178,313,879,973,375,918,448,831,286,313,074,759,914,280,329,100,
471,135,691,227,644,506,843,940,239,137,317,517,547,555,416,769,369,381,708,
539,982,295,819,836,570,830,949,176,697,039,710,179,571,741,938,588,286,282,
455,497,941,103,786,841,159,398,440,442,541,502,544,945,508,187,820,910,981,
290,909,184,367,424,349,785,211,134,743,555,222,965,239,760,983,023,531,885,
897,990,740,777,074,241,107,417,294,851,135,674,061,842,073,157,679,387,736,
995,187,741,535,621,261,297,698,610,835,144,329,764,448,797,828,476,976,596,
214,241,175,468,539,003,910,043,598,692,747,552,384,206,110,510,603,989,240,
238,130,964,324,257,793,132,164,148,444,893,430,051,353,355,592,084,084,955,
505,036,734,897,684,558,742,677,218,037,494,839,420,371,134,171,130,341,668,
310,822,518,741,114,050,821,081,931,809,531,563,767,089,679,835,919,534,120,
889,667,760,027,049,752,390,099,918,142,435,007,817,195,692,757,883,147,851,
004,710,300,291,766,306,587,558,358,217,032,104,306,614,468,090,972,988,441,
572,176,755,189,785,584,435,579,933,854,796,921,738,622,789,398,936,561,799,
735,768,772,825,708,565,580,569,325,677,717,720,682,084,967,771,620,275,436,
781,275,792,369,041,994,401,250,204,848,269,177,424,908,784,680,410,639,881,
577,619,392,392,879,144,620,026,073,094,897,465,372,680,432,688,685,194,854,
788,356,762,217,129,900,723,181,634,918,539,017,356,525,887,547,139,467,046,
646,020,065,560,281,920,728,450,961,666,367,675,917,685,876,573,958,566,136,
716,449,219,963,576,061,054,416,799,242,987,374,628,439,875,235,180,193,067,
111,456,001,282,111,097,777,702,420,920,315,683,018,864,631,859,779,277,778,
207,696,142,691,029,328,061,459,438,381,732,908,643,483,695,412,561,050,221,
895,472,634,766,070,371,914,058,991,638,126,727,208,862,774,568,608,420,418,
618,061,428,689,129,707,691,129,228,756,572,157,360,836,515,689,348,835,265,
563,118,639,907,375,423,822,878,857,311,554,298,999,947,989,136,319,489,301,
334,790,360,221,726,485,598,813,651,236,223,979,719,501,195,918,386,816,452,
442,856,465,541,753,831,369,507,994,480,693,512,263,231,528,813,697,778,613,
908,240,700,324,634,143,224,695,379,710,308,593,055,641,536,864,702,295,645,
653,278,255,410,326,029,557,700,908,092,236,818,630,468,971,358,192,682,997,
609,822,963,733,977,491,184,750,737,166,019,724,016,952,782,453,514,096,350,
456,523,768,285,199,225,741,419,335,718,214,410,848,146,653,092,792,313,892,
556,116,019,517,626,250,513,444,350,823,114,513,448,879,449,579,208,242,086,
177,095,586,952,256,883,707,061,104,501,277,011,865,704,088,437,915,127,141,
022,144,698,096,967,442,523,665,502,184,130,712,266,507,850,459,143,803,310,
140,393,738,957,808,474,110,399,397,943,049,139,620,865,280,401,248,465,636,
621,880,746,483,901,423,575,389,809,509,341,813,337,791,375,980,805,069,709,
366,393,236,398,256,053,055,924,336,611,097,854,800,038,728,100,924,121,257,
838,297,171,608,302,212,096,355,456,465,858,463,257,548,301,323,552,851,255,
222,794,632,874,801,015,784,375,108,889,999,794,519,957,904,515,354,834,998,
768,840,081,247,732,418,070,501,562,873,916,268,450,363,851,091,088,905,578,
415,485,633,317,438,607,457,799,466,110,483,123,681,231,949,586,377,324,789,
623,509,971,387,132,826,361,060,192,421,120,911,998,514,855,501,263,482,602,
977,354,695,904,994,746,036,387,926,102,938,509,220,041,128,393,249,944,383,
912,279,798,605,669,619,934,598,212,590,073,446,540,122,029,318,592,504,637,
956,776,649,407,731,224,796,328,261,558,200,674,068,935,609,719,746,137,907,
685,580,513,680,711,735,466,633,991,859,928,218,030,569,016,112,057,629,437,
795,748,568,478,480,439,622,128,538,694,828,874,269,828,204,671,870,172,842,
350,657,929,992,229,035,728,691,692,725,261,756,647,693,148,574,080,973,033,
238,387,747,299,147,592,273,092,098,528,670,854,065,016,458,965,139,299,085,
549,563,054,214,469,484,568,102,311,350,793,138,072,004,907,597,162,213,075,
761,928,650,909,354,088,948,608,484,216,894,692,523,572,661,881,203,986,123,
442,283,454,336,312,286,820,276,841,953,241,879,063,299,902,712,668,999,257,
007,377,198,476,386,326,202,806,893,173,676,972,585,796,368,706,064,100,348,
097,598,408,560,630,841,997,424,820,303,469,531,937,542,734,303,860,917,162,
850,799,481,259,690,866,925,668,340,902,364,616,054,668,672,130,585,447,476,
363,485,913,713,310,487,509,519,853,599,038,930,964,672,709,972,586,703,943,
080,386,669,966,893,357,582,196,207,540,531,637,813,532,262,120,439,764,023,
820,177,777,674,053,768,602,073,096,824,875,009,914,836,103,152,338,299,264,
372,486,674,980,719,901,390,951,514,860,297,010,070,898,358,058,410,643,565,
998,186,569,203,284,170,151,663,256,353,749,731,691,436,724,479,717,276,192,
404,368,891,539,833,109,369,432,558,493,738,577,294,127,402,435,323,967,112,
226,001,181,095,048,624,321,515,020,696,759,963,614,003,966,831,367,311,130,
787,132,800,207,846,271,434,003,652,880,658,473,491,090,498,486,067,238,757,
136,623,715,080,567,114,187,903,321,324,319,563,049,300,869,421,541,364,721,
341,424,739,973,153,384,459,339,340,050,569,853,851,367,307,807,829,730,317,
071,879,351,203,218,430,557,529,769,032,468,716,259,605,532,815,681,366,813,
257,230,121,608,052,258,391,482,739,400,444,852,376,202,274,147,075,536,034,
159,965,607,118,013,386,358,447,004,291,512,098,444,978,626,748,724,318,814,
298,774,284,602,488,026,328,684,576,560,063,073,831,538,334,957,180,509,501,
212,279,768,893,675,340,827,326,122,117,957,880,024,976,959,994,559,233,732,
849,071,841,379,624,294,644,948,972,318,292,009,730,087,961,807,354,391,316,
866,452,581,230,739,287,077,843,851,471,933,090,967,846,286,273,933,279,868,
022,295,542,267,426,304,054,437,663,675,742,838,671,500,535,574,493,324,366,
297,598,764,488,081,419,173,980,240,426,044,603,733,401,213,040,661,633,989,
958,803,662,122,542,138,634,421,644,798,095,299,701,578,817,727,552,654,972,
551,376,834,165,180,524,342,012,514,356,981,324,213,961,914,225,646,161,963,
152,321,848,260,790,320,381,766,097,932,273,916,750,128,249,037,973,847,547,
409,905,317,222,561,591,688,601,562,018,930,667,507,420,546,468,366,332,813,
539,294,264,296,681,852,343,222,974,063,033,261,623,742,792,846,562,673,102,
115,028,968,916,147,943,722,458,095,545,309,597,114,817,468,973,329,121,242,
988,954,877,819,170,730,176,506,942,411,905,324,235,901,957,181,221,806,356,
791,944,307,754,554,336,835,195,206,160,698,824,418,688,553,530,013,737,474,
323,750,048,475,645,748,235,984,847,053,983,129,081,691,339,904,912,122,435,
519,435,379,153,752,772,414,475,688,559,325,852,170,763,918,556,349,524,632,
564,000,912,251,855,095,157,762,116,999,155,109,535,297,750,552,314,525,628,
692,836,806,618,161,236,696,429,132,893,099,317,057,502,000,282,800,153,678,
798,168,848,051,899,931,248,496,415,928,812,297,909,347,788,511,432,386,209,
638,639,806,649,185,135,262,841,530,974,015,775,205,944,214,968,226,688,091,
075,102,955,856,841,412,106,947,014,408,310,296,094,870,174,036,283,636,978,
239,108,955,425,375,629,720,121,797,583,583,464,568,347,179,041,911,113,009,
645,318,926,532,755,558,084,529,310,873,945,728,031,967,011,537,062,974,042,
621,402,639,528,168,533,165,059,507,363,701,231,004,278,450,247,297,798,344,
363,779,953,504,880,869,719,248,654,823,475,559,112,423,081,764,474,204,593,
444,763,970,869,299,380,736,792,702,066,100,273,611,697,401,778,211,237,045,
118,430,894,662,315,384,748,271,802,070,166,163,644,889,123,804,820,045,046,
474,563,215,828,983,048,948,536,519,378,385,446,495,998,217,701,126,053,437,
299,011,403,577,465,720,279,963,860,778,326,069,445,325,631,695,660,239,702,
814,197,532,878,263,175,790,394,933,796,080,269,265,390,537,869,597,323,710,
460,844,977,174,890,669,129,169,206,799,941,555,298,378,435,008,417,795,845,
412,056,929,299,904,573,296,630,940,095,324,104,185,941,271,977,581,807,774,
237,246,637,373,984,188,206,420,948,185,112,154,698,938,548,079,545,787,106,
019,179,743,430,118,322,591,540,241,027,577,118,645,080,630,777,308,258,156,
423,459,612,160,971,711,317,674,734,532,804,636,973,737,399,148,210,418,211,
760,320,285,277,310,771,591,443,193,933,244,396,252,100,831,026,596,955,492,
458,120,701,713,146,438,553,755,850,198,095,407,466,413,358,247,074,562,510,
206,802,182,784,223,157,103,445,530,095,670,813,346,920,977,228,215,681,098,
724,989,708,023,945,707,029,842,272,287,803,557,890,630,967,991,791,342,766,
782,094,201,588,881,310,105,087,154,575,374,077,558,023,845,965,223,230,718,
953,407,164,623,725,227,692,218,626,988,892,318,378,561,805,905,062,198,373,
727,765,102,109,299,967,449,822,244,051,963,933,834,530,393,562,298,914,286,
054,916,879,887,151,477,009,460,498,093,457,800,002,755,282,055,423,125,510,
112,083,050,051,280,867,031,003,639,600,364,249,662,166,748,754,956,547,196,
186,199,101,378,476,870,106,024,682,132,019,472,577,580,518,375,570,285,825,
209,521,962,490,599,542,304,786,700,928,120,417,007,523,952,306,209,991,201,
735,612,447,854,549,564,732,248,628,684,830,716,552,266,218,790,105,243,922,
721,318,945,323,698,836,876,855,514,958,141,410,015,909,291,009,643,399,885,
610,176,693,858,537,332,700,285,902,817,724,759,720,131,893,962,228,570,631,
589,628,973,611,210,044,821,147,990,559,720,803,327,742,473,244,151,347,253,
128,553,130,713,666,094,809,405,028,833,082,741,321,748,834,934,526,004,652,
623,794,198,468,983,246,401,031,458,904,378,879,094,683,456,988,496,307,494,
760,334,399,753,266,541,201,805,383,231,195,167,310,254,864,537,849,084,780,
613,963,150,520,663,300,094,994,159,157,638,916,401,944,807,819,025,408,004,
727,203,480,329,880,470,027,541,989,932,674,803,584,279,398,457,499,515,222,
538,356,929,136,978,728,477,663,995,987,240,795,615,586,336,505,342,414,204,
781,877,073,914,747,879,777,630,089,381,984,029,328,929,408,015,075,145,111,
915,935,661,961,054,194,695,143,406,821,176,235,656,296,919,537,605,921,435,
706,131,923,050,580,990,673,592,538,191,504,689,268,291,168,923,911,636,674,
205,846,651,496,351,621,879,652,916,103,931,644,160,765,797,582,219,688,835,
430,040,377,945,197,377,584,327,206,376,862,148,802,656,888,317,529,843,576,
958,150,888,792,643,411,228,176,937,199,337,017,852,929,479,917,356,001,447,
388,847,890,688,198,133,096,364,362,387,002,137,343,646,153,180,822,452,035,
193,386,573,121,933,316,624,264,462,400,942,577,549,574,237,979,890,032,593,
468,263,948,568,804,493,639,993,359,526,877,116,868,973,272,719,092,578,085,
280,202,149,275,408,250,175,425,919,515,546,091,338,547,059,006,822,928,363,
876,105,873,520,110,906,179,145,568,627,190,121,758,342,208,860,752,561,428,
686,692,575,113,604,534,748,656,181,276,792,437,149,321,496,652,838,342,552,
365,499,981,637,079,196,791,634,442,545,897,641,208,838,863,290,240,739,370,
768,680,085,885,366,617,321,650,524,775,411,937,430,787,436,444,040,335,879,
547,133,961,566,323,276,668,314,055,589,175,585,610,873,534,647,682,187,038,
027,255,614,905,722,362,226,229,950,848,462,000,284,052,890,870,472,288,625,
911,312,302,119,433,202,918,817,095,711,316,513,806,612,666,090,549,299,093,
100,116,509,512,804,879,230,474,550,068,750,425,908,769,242,072,308,171,686,
991,086,128,633,284,538,720,703,732,543,212,532,746,283,532,513,423,389,369,
018,828,054,617,036,786,268,030,073,992,274,926,790,361,780,393,648,485,950,
388,186,636,934,060,408,229,825,520,973,025,681,782,391,019,018,769,829,903,
963,575,249,802,654,801,883,067,184,055,875,044,246,161,907,829,863,959,419,
789,499,566,150,099,424,926,766,406,532,323,381,387,378,907,160,968,827,289,
872,892,753,354,869,809,781,333,592,849,295,050,739,191,835,524,129,140,414,
607,365,481,787,777,684,536,056,860,737,201,977,624,684,596,362,452,272,864,
444,891,204,980,029,095,561,536,042,858,754,970,325,426,732,508,460,514,235,
599,092,722,454,914,011,021,741,771,194,363,997,077,898,181,996,474,604,736,
193,227,362,890,609,449,219,132,835,745,059,257,550,145,975,643,882,069,077,
009,511,217,391,302,379,015,205,272,359,422,253,818,290,868,786,177,389,169,
165,736,479,373,834,072,362,280,981,799,763,992,403,376,943,015,897,003,407,
748,651,498,399,449,114,249,340,609,993,167,814,605,450,898,690,362,416,330,
149,886,971,965,347,560,127,335,320,996,768,206,332,432,285,147,301,034,736,
735,198,097,715,577,758,377,426,396,324,506,676,396,526,718,188,815,169,689,
024,800,054,501,259,013,451,495,085,084,991,228,352,824,524,965,336,847,622,
821,087,379,398,601,307,276,313,602,221,282,110,579,952,244,114,750,922,831,
067,483,767,260,806,218,974,220,187,976,848,992,328,640,332,836,719,987,674,
330,985,978,314,562,177,776,046,238,373,064,441,107,702,376,918,750,275,130,
164,005,322,519,139,928,511,406,830,130,842,489,181,854,310,495,856,672,780,
850,921,802,509,139,809,692,463,018,545,165,183,848,144,596,665,213,075,447,
732,092,251,617,825,910,666,928,145,622,722,674,304,379,598,156,588,801,820,
799,074,645,757,935,536,521,613,394,784,256,992,715,010,194,742,447,387,255,
389,541,403,969,401,981,486,108,624,478,409,417,795,861,316,647,564,961,756,
065,894,691,080,428,713,365,039,770,465,222,361,549,098,469,698,800,832,859,
896,679,657,674,896,583,502,439,960,552,250,352,289,750,583,203,416,770,106,
359,200,775,642,269,875,227,075,973,351,125,152,821,053,435,712,103,879,014,
063,267,275,161,757,847,001,626,110,274,592,382,105,977,335,719,503,267,809,
748,869,852,070,658,727,400,197,524,112,098,438,869,512,144,602,917,210,609,
805,884,729,723,038,430,490,748,868,124,313,308,940,394,404,177,814,220,682,
466,599,237,296,115,289,355,365,345,380,034,620,425,790,469,896,279,964,640,
801,947,617,595,378,234,797,962,843,832,442,581,285,210,823,806,626,802,943,
337,866,047,206,444,597,135,042,847,102,766,317,367,062,230,630,088,775,619,
650,183,108,760,674,762,092,957,848,160,846,185,924,824,505,909,417,671,572,
735,558,789,520,108,877,534,656,730,794,561,675,182,541,866,353,121,389,319,
064,152,358,532,235,244,847,691,769,073,445,375,484,413,734,449,333,846,749,
010,123,585,376,551,881,861,436,086,021,742,028,467,652,618,333,767,639,104,
467,847,633,101,117,698,591,861,351,837,492,766,715,129,417,018,626,581,252,
263,040,923,524,042,408,195,208,789,716,868,437,541,516,899,653,574,977,827,
744,376,516,189,296,735,717,228,200,826,766,729,326,871,423,791,180,172,345,
303,852,840,369,661,858,421,639,422,303,104,245,269,650,399,088,805,997,069,
490,009,626,633,547,465,227,944,791,425,243,099,864,656,926,176,060,848,455,
949,769,112,541,272,000,548,960,287,539,443,883,615,755,958,304,559,614,606,
188,015,094,106,797,221,426,530,804,598,837,502,953,303,857,687,542,846,065,
135,965,498,769,661,940,612,587,187,011,731,921,783,021,993,736,098,678,358,
788,417,565,103,549,799,274,217,792,103,814,368,926,478,195,119,616,029,491,
340,472,096,890,763,459,802,552,182,092,926,963,478,902,192,828,502,272,490,
929,454,742,205,700,232,339,664,164,934,944,020,725,634,765,587,804,029,018,
470,145,720,726,304,641,356,680,609,814,265,808,377,637,877,742,975,674,896,
709,993,793,350,199,738,547,389,011,154,051,395,528,076,326,239,695,577,337,
290,307,105,687,308,936,682,479,099,303,026,124,914,960,692,692,639,824,756,
664,509,933,409,988,288,415,685,588,707,154,157,898,361,076,090,678,414,301,
492,644,025,508,180,801,656,807,506,203,972,641,741,533,659,637,109,281,374,
939,162,549,558,803,824,093,597,350,905,150,542,746,389,876,900,001,134,075,
333,897,752,318,904,319,854,032,549,943,556,294,577,482,230,751,896,292,639,
455,429,999,647,238,423,532,105,627,995,087,971,843,647,928,047,417,506,071,
060,180,875,710,129,833,364,053,407,072,560,824,919,065,409,427,339,306,985,
761,645,292,926,009,053,449,051,508,123,629,369,919,846,058,848,697,518,314,
237,887,748,411,103,201,556,072,011,007,091,064,334,979,691,477,006,172,819,
846,005,552,133,098,366,562,929,323,865,629,939,881,988,523,096,211,566,383,
141,577,309,979,328,570,575,708,192,300,684,585,542,717,837,571,559,047,610,
152,888,679,509,674,602,347,431,651,901,441,231,614,088,747,908,022,827,182,
756,149,319,699,400,013,966,057,470,840,705,221,637,467,625,670,431,709,953,
307,278,852,120,668,763,801,066,263,538,232,420,459,448,798,809,239,666,372,
653,483,974,879,689,773,753,153,939,577,263,622,237,020,590,261,008,465,114,
504,279,999,297,006,373,065,626,006,937,166,165,574,958,225,130,270,034,649,
199,795,199,858,016,346,941,579,690,918,291,581,165,927,355,185,632,553,589,
430,485,498,013,843,604,710,505,603,503,892,826,936,083,591,639,206,358,759,
657,091,085,992,068,385,010,805,853,701,664,724,587,997,861,949,724,840,898,
118,140,140,103,693,062,431,696,825,308,467,946,862,850,556,759,316,973,067,
815,689,417,586,394,468,680,217,086,503,773,626,189,547,333,184,118,233,787,
583,369,583,334,470,779,495,995,009,464,758,220,316,574,152,270,179,163,931,
671,807,219,006,366,583,590,567,500,766,363,467,953,743,646,068,132,686,301,
950,114,402,937,893,081,866,959,057,064,305,861,201,839,023,628,598,688,203,
262,621,543,756,901,234,539,741,295,207,300,154,230,902,847,566,843,381,899,
980,885,678,446,769,700,933,590,582,323,949,300,030,795,087,295,610,151,909,
576,122,556,633,061,764,598,362,975,303,091,974,360,960,324,672,946,842,479,
342,746,409,098,494,413,149,760,363,280,539,622,643,277,640,878,084,768,082,
565,242,058,500,974,948,145,269,504,713,285,331,420,196,589,101,668,415,623,
043,451,414,780,906,441,788,689,797,291,207,840,313,875,244,351,193,362,323,
352,384,901,814,362,294,598,048,290,431,073,908,758,706,288,020,646,075,070,
719,137,893,245,246,085,873,510,342,436,220,865,825,377,152,119,449,719,926,
205,082,124,952,345,785,042,303,426,830,224,664,478,948,458,695,850,021,726,
275,368,148,709,811,616,796,850,614,311,588,717,555,099,534,426,319,307,893,
265,077,314,203,856,300,609,712,440,546,044,655,677,307,590,464,292,398,074,
471,214,264,545,243,152,849,413,905,103,690,680,879,583,284,001,211,496,459,
510,555,736,639,041,729,526,782,228,540,831,585,178,264,945,905,185,921,623,
047,911,897,780,541,501,215,816,725,274,722,876,315,448,902,720,580,954,013,
149,971,076,323,546,483,488,303,773,952,109,993,107,339,312,162,024,214,327,
592,240,937,202,935,041,411,174,021,124,250,684,885,523,923,454,392,055,794,
831,395,537,962,201,095,750,029,367,158,596,691,840,506,031,769,848,145,122,
354,936,029,090,444,696,882,337,876,186,409,792,133,567,944,132,766,345,218,
412,530,702,181,885,438,678,599,212,776,426,879,255,286,666,985,099,213,083,
240,623,096,532,123,812,984,925,373,718,812,226,220,839,649,413,554,468,966,
000,626,673,234,504,658,418,857,024,384,308,458,813,537,691,689,192,728,411,
063,126,913,398,405,270,450,732,723,774,798,990,250,062,339,561,172,972,107,
032,095,909,718,505,772,032,164,262,959,521,767,287,689,153,732,750,679,228,
758,884,067,537,068,705,239,314,480,799,736,156,942,615,597,486,725,537,083,
645,147,463,362,736,319,277,510,999,160,357,657,063,990,352,884,675,635,147,
541,122,029,657,569,613,859,144,213,601,601,587,584,284,433,216,208,823,392,
262,977,091,540,176,894,188,041,607,157,794,291,120,074,374,147,276,663,453,
002,627,441,627,205,082,717,267,691,783,171,547,617,466,209,423,845,483,091,
498,874,349,898,984,102,809,527,784,430,376,025,067,037,704,990,014,468,009,
087,580,731,277,553,102,514,986,372,373,043,924,954,824,595,233,345,904,286,
272,883,260,870,543,935,793,605,215,237,635,184,154,797,800,119,112,361,426,
092,905,891,702,138,521,308,582,424,889,259,357,209,673,665,069,190,506,096,
273,981,220,234,977,855,120,905,790,430,657,344,487,274,727,512,543,151,712,
058,359,346,617,358,316,242,331,832,063,831,642,736,283,821,008,909,958,561,
073,044,506,340,084,866,463,082,259,276,411,569,491,802,467,596,321,679,154,
290,139,908,429,516,051,218,685,040,597,287,607,441,332,766,474,432,804,876,
863,464,577,973,590,273,825,247,976,878,469,477,393,257,097,085,387,737,169,
836,584,999,236,692,278,219,067,678,612,998,175,609,998,397,137,966,422,020,
417,928,535,688,953,239,790,522,071,316,203,184,789,046,252,735,085,876,265,
539,576,270,661,643,933,871,932,749,409,055,796,571,902,301,291,738,299,051,
067,278,715,132,249,529,451,052,016,509,810,483,480,574,148,335,292,227,488,
814,728,871,815,665,095,405,510,468,565,532,874,330,743,845,328,770,919,202,
224,027,229,260,768,934,842,840,713,103,440,189,228,344,515,538,527,520,048,
800,832,380,529,071,865,968,557,690,581,422,976,652,985,322,554,345,330,379,
350,420,601,745,479,785,726,756,332,634,161,837,628,011,127,771,066,356,910,
002,577,987,836,922,607,928,012,991,927,159,366,441,571,321,448,025,101,357,
961,272,214,154,812,138,953,642,762,509,539,311,188,838,564,601,726,307,918,
916,770,164,932,574,500,085,510,423,064,221,033,838,396,542,071,721,246,745,
632,706,062,749,986,953,635,541,293,936,557,924,974,140,663,342,443,877,848,
159,732,492,984,549,225,328,259,026,446,208,685,834,034,849,088,973,985,165,
166,637,797,235,007,533,197,523,035,608,173,620,557,071,476,411,800,513,543,
559,768,433,851,225,750,942,342,089,434,561,656,254,592,894,759,243,524,688,
292,622,754,090,096,933,763,417,422,052,245,840,554,937,128,979,960,499,487,
204,231,277,072,958,532,674,615,315,539,123,357,980,439,630,950,901,532,391,
922,329,310,142,842,974,442,289,689,286,924,851,867,990,598,461,436,330,783,
484,882,989,177,967,963,323,198,677,227,343,045,482,348,765,677,722,595,931,
585,139,678,431,140,018,118,473,342,819,040,325,714,296,887,804,063,851,989,
329,537,705,674,095,002,093,620,287,363,791,428,488,412,405,531,503,634,475,
447,762,827,067,484,019,327,897,599,885,251,876,930,908,824,982,103,285,312,
440,987,987,540,057,187,724,047,878,437,524,069,556,082,371,879,955,515,965,
815,360,721,852,031,098,912,538,983,557,971,479,365,450,498,504,710,367,495,
903,104,540,772,928,330,061,773,885,070,806,022,382,031,316,345,221,604,819,
542,164,044,344,201,200,159,531,348,292,465,576,454,470,617,706,921,580,469,
354,158,283,758,529,337,145,558,367,251,901,376,386,272,945,189,113,025,023,
029,389,999,365,640,169,918,216,417,037,263,385,714,429,661,337,907,113,766,
479,202,262,630,613,143,011,952,225,819,094,044,221,043,785,514,499,225,386,
495,149,357,230,907,556,687,601,802,923,323,381,417,969,814,660,415,973,699,
246,868,317,982,584,323,801,255,234,298,087,694,000,524,179,811,195,984,702,
849,634,929,290,635,996,719,725,990,510,205,839,021,606,452,366,623,456,577,
172,678,437,466,677,881,291,079,017,325,639,888,256,935,861,821,383,071,077,
142,454,653,736,104,415,994,070,492,329,871,722,636,168,880,790,719,994,629,
588,814,616,752,813,638,846,346,393,573,088,470,584,711,869,343,010,360,614,
897,865,157,474,863,702,316,493,117,008,516,161,848,747,605,035,363,791,020,
974,791,325,791,543,203,545,817,981,538,766,277,340,667,268,760,455,223,089,
836,261,746,716,112,106,961,956,587,569,371,050,890,193,974,836,671,906,688,
738,323,955,939,367,369,879,807,335,185,431,049,638,454,767,738,901,320,857,
135,290,294,245,880,894,970,189,424,451,206,992,728,948,581,669,627,856,555,
981,717,122,925,277,059,899,944,626,042,463,351,205,244,680,365,047,022,279,
728,145,357,183,329,118,767,186,225,210,961,082,961,336,158,176,484,160,085,
907,848,328,792,281,050,381,386,567,038,722,150,849,588,989,281,523,145,959,
122,889,596,143,071,851,009,726,257,651,469,321,024,612,251,376,001,139,235,
899,840,405,767,616,287,346,054,607,582,189,095,230,954,592,271,606,233,876,
387,474,299,118,144,661,000,638,507,845,074,313,653,590,913,444,133,691,460,
581,437,188,445,111,937,172,874,244,973,319,435,321,738,061,570,376,358,180,
381,249,368,330,564,268,106,065,122,073,371,944,270,907,885,560,855,831,888,
948,389,708,279,815,874,105,181,622,337,784,851,184,441,653,403,474,199,880,
809,831,428,086,550,452,220,521,912,485,850,693,807,214,540,930,444,367,759,
271,953,302,243,657,167,661,102,469,456,167,555,575,072,027,604,002,942,304,
877,936,124,917,549,544,649,013,896,546,182,617,974,315,210,488,338,898,273,
956,794,355,155,597,687,423,942,103,911,599,986,682,950,611,720,698,431,267,
808,628,913,402,958,899,508,105,376,212,833,670,400,552,551,153,183,773,638,
141,892,993,399,225,295,704,776,717,643,916,327,265,220,396,166,647,750,259,
673,951,906,376,777,487,751,112,939,228,281,053,666,006,843,675,201,218,498,
533,367,704,249,446,344,620,285,979,481,843,428,104,723,240,567,503,323,326,
658,914,583,657,770,659,598,797,015,789,775,706,379,446,605,163,877,803,293,
932,022,144,401,052,159,750,000,637,565,245,129,061,677,326,903,337,928,979,
237,182,187,237,519,670,335,449,690,330,991,231,427,166,467,796,551,930,013,
885,665,277,111,653,097,043,787,401,497,520,299,477,545,225,582,645,551,105,
601,427,828,740,445,120,891,242,481,447,308,241,802,866,171,217,081,401,478,
999,654,505,684,369,582,588,495,651,879,241,182,911,642,948,966,975,562,566,
210,857,693,534,099,156,415,477,114,560,332,087,816,179,503,753,654,400,565,
632,707,972,066,784,801,721,213,017,459,016,534,239,145,422,168,188,516,595,
642,174,205,313,921,337,565,419,581,166,409,329,195,216,896,118,976,511,959,
205,683,975,912,920,274,018,055,998,397,243,836,048,870,443,965,468,521,318,
903,441,718,244,435,750,921,126,378,044,796,416,502,806,592,665,336,878,527,
311,381,596,561,339,707,072,003,102,156,663,845,895,342,828,205,201,328,331,
360,687,253,249,607,800,437,670,494,248,242,663,722,709,108,768,956,457,524,
928,854,271,171,567,484,984,386,866,336,541,831,960,230,972,267,066,706,483,
815,616,940,196,407,765,472,295,788,719,252,746,924,769,269,543,680,906,421,
766,706,837,555,462,275,555,805,955,267,944,558,082,311,634,578,261,043,377,
422,073,527,951,643,657,538,503,663,744,583,247,266,739,728,390,859,633,368,
905,272,274,657,630,597,602,620,974,535,650,840,452,685,818,085,837,464,057,
991,053,251,579,295,468,411,139,299,145,035,387,376,736,753,926,653,887,810,
702,549,450,748,875,315,038,343,648,725,349,047,894,671,813,635,724,832,392,
884,431,178,600,931,194,197,220,356,116,273,535,027,294,687,814,906,582,432,
044,723,828,516,814,582,583,474,396,876,164,667,345,596,631,381,367,606,303,
981,419,677,363,471,682,982,594,047,816,924,323,201,310,424,167,486,817,029,
950,597,816,929,754,505,305,954,766,283,337,377,786,039,667,767,824,882,878,
628,889,668,911,649,596,517,165,764,465,500,633,851,122,168,933,492,420,987,
609,369,203,529,417,294,684,949,367,770,012,485,453,043,566,690,755,559,346,
505,330,351,260,344,583,546,844,831,908,006,038,871,294,970,452,228,161,876,
432,503,575,206,433,924,250,303,120,127,647,577,707,182,351,685,896,219,168,
397,541,615,899,953,264,587,114,091,628,912,430,651,559,021,365,710,743,209,
320,086,635,851,218,172,746,784,830,635,828,907,154,878,546,980,432,794,978,
797,956,611,497,632,450,030,571,813,253,281,750,894,063,449,029,015,823,638,
474,617,351,009,071,976,284,749,159,300,524,666,447,011,043,829,490,508,987,
342,623,639,591,771,343,405,728,907,919,736,729,138,311,795,122,948,957,642,
334,934,631,646,525,086,115,369,606,140,650,249,786,445,505,016,013,125,430,
830,551,004,005,892,854,053,743,213,154,619,773,653,809,085,181,081,355,933,
352,850,894,629,152,659,668,469,977,112,004,303,695,886,775,480,959,322,219,
200,808,312,676,168,510,000,856,391,347,664,250,827,615,669,267,155,995,840,
052,225,986,840,007,014,033,215,844,536,447,423,330,121,766,739,679,097,555,
913,708,508,973,669,102,037,872,206,119,050,411,647,882,221,699,134,016,230,
233,853,759,415,698,485,301,796,467,861,848,342,597,572,027,018,774,161,675,
450,386,968,005,978,869,719,063,681,500,743,905,401,054,981,845,469,196,641,
789,442,973,458,212,842,310,912,611,666,555,208,968,700,791,340,677,983,620,
097,177,317,595,670,140,941,022,454,273,247,289,524,012,855,534,019,275,180,
627,857,210,738,076,935,619,935,822,966,240,066,330,111,198,246,970,804,404,
990,169,266,118,841,317,189,231,351,257,762,994,573,359,071,970,923,407,226,
631,992,396,869,522,305,147,732,461,769,378,006,844,121,562,527,080,339,285,
783,896,748,145,225,280,629,026,244,632,405,113,182,197,428,533,626,163,294,
308,796,934,752,951,333,270,924,317,291,169,934,217,359,463,526,320,630,969,
979,340,979,793,642,910,193,196,582,013,668,989,513,261,595,155,081,205,769,
981,159,489,470,081,422,368,287,607,590,520,160,990,732,822,762,763,139,417,
831,131,146,861,389,008,453,005,794,879,764,257,150,394,132,011,062,377,673,
462,195,852,341,403,949,989,745,971,563,881,335,322,266,599,240,005,009,122,
201,953,928,930,784,647,404,222,279,772,233,230,297,972,734,997,347,736,268,
025,347,514,508,753,730,325,647,812,328,101,572,918,098,336,293,484,786,345,
021,956,973,845,344,475,513,481,319,835,111,843,248,889,632,954,687,308,169,
076,887,038,791,606,762,567,924,933,177,298,408,547,306,511,948,253,505,042,
714,687,768,029,703,371,147,377,861,781,463,828,716,628,863,192,824,699,538,
808,068,024,879,429,611,070,381,749,255,455,563,072,676,680,904,653,678,690,
150,854,698,009,652,156,218,304,819,120,977,199,763,217,468,247,212,787,929,
860,725,944,094,160,598,272,878,828,350,800,265,734,047,002,422,189,779,414,
538,046,876,375,501,452,741,162,219,736,817,996,940,916,712,427,783,642,936,
769,991,952,445,733,742,274,262,302,026,471,034,128,128,310,368,272,684,215,
245,702,546,794,830,239,645,283,699,962,993,516,091,796,363,986,946,017,458,
467,198,838,049,732,871,697,389,986,055,730,774,276,995,840,458,719,523,440,
942,917,376,868,651,886,591,817,666,260,485,109,114,112,331,326,950,976,594,
522,479,621,371,034,122,103,220,383,989,756,970,492,237,833,907,826,742,767,
391,175,077,020,375,220,027,102,238,322,315,515,717,026,253,417,949,248,110,
231,568,519,374,032,100,896,155,052,598,441,819,339,486,859,878,502,252,669,
913,569,465,036,031,298,418,861,105,187,606,260,891,363,277,662,633,535,194,
859,102,745,103,613,568,238,037,824,038,069,461,101,263,281,094,634,749,494,
207,978,421,752,824,586,237,116,853,418,329,872,684,287,359,978,250,354,118,
549,211,170,798,891,714,624,331,716,194,896,662,805,100,632,037,486,510,022,
092,586,844,611,573,089,911,024,813,074,598,698,652,671,310,755,123,807,893,
232,122,546,336,287,674,811,437,122,659,373,818,637,566,889,779,788,721,765,
424,888,111,933,220,654,835,319,604,712,559,334,986,483,629,414,264,854,637,
793,720,857,495,512,628,897,689,956,510,476,320,835,133,058,502,474,531,537,
907,869,844,812,811,771,929,064,061,905,919,745,986,235,066,612,223,111,843,
155,764,310,541,106,648,137,452,381,347,869,049,053,112,495,316,902,576,881,
603,252,117,538,683,841,786,341,334,743,976,321,221,717,502,437,034,732,296,
782,397,196,979,230,678,227,167,946,205,542,746,454,693,905,615,257,965,900,
786,656,801,855,567,145,677,765,903,762,454,609,438,514,957,639,960,262,612,
706,866,339,613,807,103,446,883,643,627,115,094,326,028,587,162,002,458,901,
433,956,828,882,360,629,522,572,211,701,860,469,391,648,262,835,929,355,686,
069,586,632,526,890,376,728,053,291,369,014,921,955,823,422,881,808,865,212,
512,779,867,776,116,468,004,437,125,765,346,719,750,050,256,216,952,825,035,
842,472,369,786,585,049,093,075,446,555,154,153,571,764,551,525,992,352,362,
282,899,512,839,547,963,581,610,355,547,765,687,672,726,095,500,337,302,065,
973,229,278,871,200,731,631,525,433,275,424,599,584,749,807,689,883,305,284,
581,288,500,689,371,471,570,058,129,172,640,786,277,116,741,702,802,372,355,
490,691,956,532,854,883,351,512,029,350,273,690,183,492,180,518,143,031,718,
810,396,433,731,359,414,866,344,171,356,165,679,830,768,547,738,143,933,775,
682,805,853,014,814,892,134,205,412,182,935,899,922,949,786,765,665,637,018,
170,987,538,122,821,075,528,443,883,468,307,643,906,745,256,560,545,159,204,
438,732,372,423,311,987,627,011,964,445,718,128,358,734,878,344,769,414,204,
411,594,245,925,629,753,459,426,705,627,471,014,402,473,211,365,901,417,242,
805,068,342,877,441,121,110,468,098,825,065,766,612,433,396,049,064,310,573,
732,066,582,094,964,945,872,907,052,698,108,336,390,979,044,333,092,135,756,
455,585,813,066,238,748,660,255,870,459,334,586,369,943,098,891,723,528,607,
190,850,725,050,862,195,776,265,975,648,543,900,738,185,154,920,582,945,676,
648,639,282,841,009,097,415,432,315,211,594,196,403,296,888,224,744,770,568,
004,606,281,907,759,389,471,897,648,504,539,317,237,424,413,401,908,449,582,
108,080,599,254,012,131,342,621,466,164,905,253,002,092,144,907,098,236,446,
554,861,241,402,751,203,054,997,171,215,774,470,133,636,758,952,634,283,952,
511,051,115,167,552,206,408,846,198,881,896,468,109,585,015,012,116,532,307,
140,152,246,581,011,860,454,548,612,865,714,902,124,019,509,172,165,739,453,
494,285,726,265,175,989,453,668,418,732,184,022,525,695,879,487,367,744,019,
786,733,684,715,619,595,838,369,638,533,504,770,621,606,678,238,843,344,588,
494,863,566,432,547,573,197,130,358,203,045,772,189,879,071,021,595,370,122,
076,226,181,329,338,488,037,240,924,329,455,927,332,497,778,533,495,569,529,
032,188,047,531,474,041,375,398,664,518,715,318,973,333,061,829,915,485,797,
502,974,693,453,843,264,233,292,766,169,377,292,005,540,135,919,184,063,369,
413,751,689,069,493,784,939,708,500,688,205,683,750,840,154,036,100,605,648,
817,981,884,892,112,111,526,017,232,439,490,871,534,046,090,044,543,107,642,
907,997,340,335,179,373,355,516,620,994,887,381,637,938,988,651,688,673,321,
950,072,496,298,502,759,226,175,527,562,541,834,495,221,037,071,032,686,359,
792,560,743,696,678,540,475,254,736,418,626,059,643,701,256,207,430,433,981,
235,221,727,652,679,366,839,810,603,387,508,525,267,318,068,541,398,516,846,
145,466,752,663,044,742,319,796,603,400,715,159,545,930,320,752,160,555,209,
398,535,219,249,592,757,259,937,738,878,507,639,675,438,451,553,438,384,712,
068,814,341,724,005,212,422,106,210,832,298,240,609,970,034,887,747,188,788,
775,085,410,981,140,722,132,369,653,671,182,857,617,515,008,073,147,828,153,
301,661,160,452,874,187,665,699,697,514,659,332,920,500,648,721,980,699,349,
011,846,059,199,941,606,620,163,544,438,087,835,032,968,240,304,845,802,881,
953,246,703,594,825,011,450,580,073,563,007,915,506,513,200,831,269,547,318,
058,129,039,248,686,104,897,914,422,305,848,453,450,744,109,278,308,934,610,
252,249,125,241,483,998,523,883,626,784,777,577,988,995,473,465,599,523,066,
467,608,172,236,124,509,767,598,287,659,271,273,140,824,817,586,447,789,524,
329,909,210,330,038,117,019,999,002,182,519,502,395,599,982,013,779,220,330,
159,918,713,189,030,031,822,797,048,932,805,203,642,385,071,476,481,635,098,
855,471,396,456,100,180,561,890,413,327,331,797,713,597,227,752,175,339,696,
171,946,978,681,159,373,908,927,701,333,131,519,110,892,146,078,670,535,730,
186,361,523,414,510,184,369,875,041,157,368,894,266,312,164,438,313,952,590,
335,248,065,885,491,443,119,644,991,792,593,301,806,758,360,579,177,405,770,
186,516,816,007,840,275,584,908,029,345,744,554,443,721,660,968,834,175,872,
260,345,655,528,856,080,237,182,582,621,666,208,624,597,065,767,034,163,316,
207,823,828,335,120,199,625,241,711,580,923,487,541,476,108,655,175,714,575,
469,924,124,511,019,968,045,425,141,398,011,468,737,004,239,511,017,995,857,
432,026,937,488,247,161,257,658,401,468,534,889,706,664,953,794,327,439,376,
391,991,013,443,837,028,539,949,162,235,454,930,644,892,847,747,203,634,787,
369,995,112,432,984,686,677,615,978,927,704,706,863,506,656,096,060,172,270,
992,863,447,081,558,734,095,949,972,517,262,828,643,666,767,576,926,625,186,
486,343,946,077,581,053,158,643,305,511,342,725,809,398,596,326,795,430,051,
874,683,644,194,316,465,859,256,701,037,646,663,863,999,839,034,392,784,048,
080,347,445,218,765,103,703,899,951,410,880,652,308,862,981,634,740,216,228,
351,979,827,048,086,250,395,336,347,303,880,862,320,610,373,678,126,572,815,
046,892,336,514,440,704,966,149,285,250,274,360,535,444,267,692,787,325,751,
830,165,661,376,069,349,882,791,711,842,173,619,668,809,597,801,906,130,336,
819,885,269,955,491,061,267,144,368,025,876,627,914,180,334,104,459,375,003,
247,973,747,457,940,613,615,003,448,010,683,713,934,326,004,651,624,824,052,
559,148,355,178,231,451,887,277,991,718,014,907,056,112,975,550,694,317,254,
261,297,188,061,289,125,805,250,709,192,121,930,574,691,817,897,863,010,091,
466,437,205,538,081,600,768,929,465,150,086,748,520,152,761,751,010,872,402,
422,475,182,875,595,699,757,697,566,231,864,867,101,839,143,740,784,599,294,
428,391,576,886,232,050,351,165,753,665,602,559,709,550,697,168,860,441,626,
912,751,804,029,968,228,424,767,626,588,794,667,453,116,056,278,188,485,711,
957,958,178,929,225,009,653,433,022,889,161,664,610,270,733,891,549,037,289,
514,415,208,506,469,107,587,386,815,326,328,189,494,894,175,379,204,042,972,
914,809,139,692,163,250,216,764,830,987,712,003,264,994,079,759,349,244,319,
774,052,080,034,697,106,592,256,009,784,996,919,783,598,583,254,473,172,755,
793,548,947,141,140,930,535,069,254,757,658,369,639,045,953,642,361,447,536,
689,193,466,829,662,248,488,747,569,226,807,497,312,697,837,290,517,025,468,
358,700,575,912,572,523,740,554,521,420,897,174,851,871,113,254,927,331,250,
621,541,853,071,991,209,662,675,010,497,842,589,252,080,930,245,803,637,624,
438,359,892,538,855,462,191,020,748,103,982,352,446,450,684,546,590,467,887,
712,029,348,404,386,457,015,863,714,545,516,432,991,362,074,901,088,243,145,
920,686,906,063,155,624,647,344,114,702,089,101,988,081,612,010,788,171,805,
948,270,381,303,025,324,531,948,553,384,476,610,189,119,877,873,753,853,708,
589,308,087,352,760,209,500,372,077,074,106,316,528,429,849,562,790,130,563,
183,948,398,588,947,713,221,424,113,349,326,794,051,052,250,202,889,747,462,
977,178,841,155,723,340,985,487,103,650,788,375,079,267,134,072,143,397,089,
859,402,103,983,932,733,525,718,603,113,625,404,410,375,622,461,125,063,794,
473,817,622,881,144,147,744,573,179,613,136,320,078,437,558,731,574,576,115,
211,590,121,754,565,265,743,850,966,066,472,598,746,737,885,480,960,702,698,
942,877,609,806,216,644,766,225,729,940,800,006,097,503,350,624,165,443,499,
389,977,699,404,503,111,964,282,190,292,728,918,263,300,639,569,340,955,162,
568,039,017,519,908,443,055,773,091,735,440,040,243,819,678,111,415,561,578,
846,773,265,831,670,964,328,987,689,470,398,139,120,898,918,253,411,148,987,
182,520,422,416,696,891,992,597,990,058,579,654,519,654,490,573,232,858,192,
665,480,611,370,551,992,447,162,060,852,074,534,446,738,335,294,649,012,840,
157,040,551,719,291,931,590,162,420,246,587,518,351,312,170,288,087,030,243,
959,949,723,012,286,017,859,170,388,643,205,516,931,956,752,900,482,206,034,
736,268,604,672,126,779,338,417,094,863,198,408,453,514,344,877,803,633,467,
517,559,340,970,780,709,152,021,514,860,323,616,340,868,508,395,148,068,158,
054,380,590,290,929,060,272,776,909,716,726,179,803,323,642,557,829,381,169,
131,190,967,782,597,080,640,384,584,227,137,498,952,334,124,861,482,874,350,
753,424,526,450,604,645,392,257,777,248,295,039,197,827,797,336,712,920,816,
655,596,846,985,309,580,914,820,042,933,152,363,171,925,790,332,593,720,213,
841,062,304,636,479,765,819,909,416,516,009,390,044,353,600,096,462,961,202,
511,638,596,089,755,988,589,644,175,873,143,329,556,821,164,169,029,596,018,
466,534,428,168,567,655,283,314,189,181,170,806,896,814,175,374,547,865,612,
664,143,852,792,953,368,681,713,692,638,125,026,988,162,711,217,593,607,470,
283,991,448,878,535,975,361,294,908,409,707,508,680,333,109,216,824,699,036,
723,474,296,926,083,709,784,455,253,752,393,548,602,262,940,021,522,355,825,
036,863,638,555,899,643,506,672,791,879,721,721,371,089,232,080,564,377,629,
886,810,573,521,564,325,608,593,484,863,108,333,184,347,480,800,173,222,430,
489,920,677,955,450,232,294,503,567,090,460,517,059,570,174,319,684,713,070,
134,682,216,420,734,469,757,282,855,252,745,114,908,986,939,251,943,405,216,
443,815,380,852,778,544,348,064,556,126,035,127,395,997,119,886,441,544,030,
993,885,250,120,328,722,199,925,391,373,786,774,347,482,700,536,283,536,567,
215,555,599,963,363,211,324,955,601,104,254,953,216,024,160,284,535,019,746,
370,175,109,129,864,217,090,190,946,473,023,676,310,191,208,248,675,077,949,
817,533,109,564,013,938,774,265,244,169,653,855,200,408,385,830,507,704,271,
940,072,277,785,348,140,860,520,722,044,211,896,545,308,918,731,746,067,427,
832,438,663,921,916,016,083,934,596,386,617,310,727,066,604,507,497,955,711,
864,031,218,834,413,175,798,151,866,469,185,049,424,438,335,979,858,519,440,
952,055,042,304,472,241,546,267,202,433,165,731,979,109,649,903,214,455,588,
222,514,439,468,635,366,191,123,283,874,995,355,631,567,868,030,023,744,681,
490,310,565,642,596,626,674,532,024,339,677,983,473,543,619,081,470,408,591,
486,971,545,916,181,985,826,881,139,524,037,955,377,500,102,984,149,114,252,
783,392,781,987,006,234,388,974,797,020,194,228,443,433,507,919,408,116,696,
874,750,320,358,847,060,834,523,178,260,981,547,145,494,033,828,380,892,519,
915,913,177,481,809,319,045,549,306,674,230,774,555,167,809,630,993,140,490,
407,896,227,341,959,769,409,250,837,637,511,175,459,693,630,100,344,562,961,
191,461,272,323,082,962,295,558,563,068,981,854,727,007,937,961,108,003,578,
903,300,175,820,300,697,739,499,847,357,571,133,896,569,027,339,168,071,413,
202,178,814,929,460,940,554,805,750,156,177,723,140,848,378,707,838,089,849,
863,534,983,635,829,738,421,524,531,540,826,355,725,091,692,112,122,824,749,
420,618,708,806,297,174,493,894,634,324,486,164,707,552,146,896,587,133,607,
489,033,200,671,667,548,630,075,697,625,577,331,105,351,941,242,601,018,122,
598,688,749,840,891,793,659,385,050,844,992,338,780,017,999,058,442,832,403,
613,193,181,829,945,172,539,549,369,868,702,176,934,863,823,730,964,567,742,
161,711,722,996,004,106,857,937,675,255,514,497,065,821,392,238,708,057,838,
043,664,720,793,030,638,375,247,280,841,735,324,256,634,507,597,284,448,743,
927,486,468,190,262,985,148,761,738,011,815,218,722,776,553,730,321,474,627,
169,379,944,853,739,529,924,569,291,483,515,050,397,094,949,535,358,750,303,
564,394,464,286,659,267,081,711,044,535,073,683,654,453,361,212,267,243,521,
054,466,114,813,715,451,964,281,388,482,077,224,728,600,147,480,725,286,995,
992,205,920,987,075,227,735,420,386,260,626,530,899,118,667,856,527,757,622,
366,925,452,293,996,773,390,943,622,784,485,542,325,648,387,132,006,264,424,
740,926,411,896,969,032,279,678,716,797,865,575,230,483,372,837,390,729,451,
433,575,004,042,535,900,672,206,976,105,582,518,989,747,065,912,640,279,312,
833,539,768,736,775,839,096,312,595,290,486,817,240,994,400,283,407,053,654,
149,537,666,898,561,011,275,588,279,719,938,030,886,936,428,576,322,625,675,
740,531,739,831,102,670,658,453,561,652,660,883,996,828,008,934,133,470,058,
038,492,835,315,140,764,247,371,361,019,209,891,338,289,325,051,972,229,484,
422,973,448,886,803,915,184,909,981,008,159,629,262,208,735,013,948,192,078,
718,559,517,234,955,308,609,435,602,799,368,016,938,472,185,299,819,765,769,
112,929,266,548,370,690,098,145,104,785,028,946,627,517,689,155,697,966,219,
522,000,098,419,431,080,828,483,946,683,594,530,678,840,749,116,615,997,236,
004,287,242,558,648,431,889,094,192,714,333,555,449,010,850,791,797,807,919,
748,484,261,083,031,658,657,987,602,031,766,916,954,153,830,629,224,092,112,
566,320,706,749,784,259,370,771,341,828,382,700,441,009,241,841,544,504,029,
731,118,561,553,599,583,656,516,084,850,648,798,034,581,961,267,955,070,999,
743,262,005,891,156,737,350,603,936,888,792,782,506,782,562,754,110,665,946,
986,802,850,468,149,551,824,016,427,979,680,120,313,864,596,123,014,451,149,
338,895,315,905,540,855,916,862,802,404,974,326,173,924,072,466,370,156,222,
896,400,425,379,203,520,820,669,006,441,595,570,170,166,540,436,946,649,531,
668,152,490,799,738,313,776,495,019,293,828,607,920,645,924,808,207,634,744,
687,092,961,491,357,430,199,840,383,222,905,706,748,064,603,795,556,185,807,
701,799,362,701,978,861,177,963,807,578,700,573,628,538,118,353,753,712,888,
873,488,578,264,714,782,363,137,632,950,210,707,964,314,266,380,235,536,379,
436,027,306,758,858,461,951,792,382,547,980,877,775,830,912,271,193,244,579,
644,590,527,933,643,418,565,733,796,688,010,359,666,804,868,457,515,356,154,
668,680,322,353,101,839,874,187,185,065,890,058,312,938,816,038,347,023,303,
594,659,248,517,032,292,234,525,206,968,605,681,667,580,206,915,401,156,765,
742,180,440,726,206,534,403,786,837,152,808,795,694,664,070,448,314,015,814,
596,825,582,457,613,147,269,688,517,963,598,902,835,521,856,814,776,344,032,
155,805,336,037,824,579,443,342,392,004,189,232,857,381,978,818,838,634,855,
736,465,329,461,988,342,165,027,510,747,565,657,617,441,057,107,155,322,087,
498,250,060,033,894,818,389,104,582,588,268,257,652,142,784,192,442,824,664,
077,297,162,804,480,126,646,005,337,833,892,179,654,778,742,347,247,352,139,
871,555,394,467,193,777,440,985,819,610,212,212,084,593,128,066,915,884,526,
786,659,189,251,116,697,452,473,032,527,008,560,567,829,657,033,755,887,773,
651,907,616,831,869,502,763,796,946,473,752,473,069,186,438,257,342,301,325,
717,724,637,934,322,330,435,046,934,297,203,243,330,120,498,469,191,213,698,
165,450,647,090,814,951,432,504,031,805,395,221,830,630,210,294,202,278,996,
452,927,518,286,473,441,385,271,261,987,245,937,762,416,794,816,989,254,627,
125,853,425,952,717,140,763,741,608,029,379,720,804,903,149,290,720,800,405,
042,889,016,620,113,969,137,865,489,588,454,049,930,184,527,837,125,240,654,
564,982,911,438,992,741,211,354,611,075,867,646,829,578,214,523,159,428,684,
541,704,587,285,160,077,765,032,223,565,761,940,910,607,122,761,370,920,419,
208,381,668,258,447,409,505,199,927,060,212,216,088,836,737,560,509,850,766,
074,542,924,238,344,546,555,958,965,708,177,698,504,206,369,214,930,895,796,
669,907,826,043,442,977,087,936,281,159,289,210,990,452,359,272,981,536,084,
586,540,529,077,668,434,317,848,351,927,252,326,793,606,303,413,633,221,657,
760,374,357,799,199,859,221,810,727,827,084,622,852,423,066,246,280,933,999,
151,870,748,372,489,147,326,061,258,599,571,595,745,272,828,433,400,986,236,
241,825,354,135,445,556,571,602,176,499,559,001,501,538,155,360,462,570,487,
224,963,656,600,960,494,134,014,823,695,677,592,190,752,806,132,106,462,049,
833,759,500,616,852,212,518,329,134,763,556,415,266,893,201,805,839,518,299,
434,931,089,299,867,806,715,728,000,919,293,700,200,518,839,705,454,564,322,
039,976,769,843,808,096,240,423,241,976,799,225,164,863,296,813,967,982,284,
970,520,076,823,669,609,716,783,465,129,373,576,590,510,550,523,531,485,575,
852,287,449,095,829,391,393,632,423,074,716,021,120,130,393,083,801,414,693,
985,486,815,840,542,324,947,683,013,212,758,053,303,913,600,451,346,981,225,
312,232,140,284,206,834,827,998,302,916,268,094,660,482,303,975,402,260,187,
196,526,620,935,015,096,533,454,294,702,940,574,834,689,634,081,252,438,833,
557,404,275,942,308,829,346,392,689,998,612,021,279,432,384,037,521,540,814,
413,022,387,906,742,146,076,721,645,056,563,850,277,823,610,359,093,144,419,
029,296,167,356,132,354,506,758,396,817,898,126,833,476,649,607,179,944,643,
710,069,095,891,865,712,402,092,704,814,234,485,441,197,948,188,532,952,582,
455,548,737,452,625,816,578,162,952,129,502,384,777,672,214,042,611,008,095,
170,421,272,641,778,540,545,152,450,225,477,113,996,550,718,180,857,007,257,
651,570,215,029,828,759,922,914,070,873,433,178,058,934,917,075,141,737,931,
326,355,230,224,936,799,652,487,970,020,800,623,295,637,349,274,212,239,889,
924,306,600,619,059,904,881,449,144,596,363,973,477,896,958,487,148,179,780,
067,235,385,475,319,112,793,701,975,896,248,703,661,967,825,053,433,823,284,
410,338,629,519,702,028,026,926,106,890,792,931,320,346,214,356,951,578,396,
157,012,109,420,134,450,577,287,765,066,802,629,361,869,093,046,498,316,009,
145,128,807,985,875,468,552,744,274,041,526,164,307,868,096,642,344,320,498,
456,410,692,559,047,443,209,339,326,487,626,338,280,750,693,634,826,501,665,
647,719,222,079,634,327,064,941,262,442,797,213,897,238,648,865,614,514,742,
990,045,936,037,538,535,232,905,670,882,087,891,113,281,093,350,933,424,009,
947,231,857,066,071,205,558,673,195,154,368,834,928,623,965,042,603,180,877,
636,468,754,966,225,016,860,379,180,548,885,036,585,756,616,423,316,008,887,
801,671,898,605,792,111,956,506,819,354,398,612,436,525,285,405,313,534,092,
471,567,477,707,640,854,364,158,810,348,035,274,486,887,064,921,811,830,804,
910,093,060,428,509,007,353,151,518,114,087,595,481,172,702,196,613,231,939,
594,916,912,656,915,183,522,194,546,802,436,236,052,348,683,293,949,951,546,
073,459,731,180,355,417,284,825,435,778,795,841,061,167,956,069,360,859,506,
886,471,768,621,322,899,274,476,787,407,458,742,690,545,209,155,812,704,927,
479,935,853,263,140,404,667,619,623,521,325,230,418,442,369,537,051,777,211,
307,285,230,425,702,918,905,529,187,048,355,943,060,994,486,541,342,029,493,
470,019,302,204,482,204,719,969,666,037,848,046,404,254,101,819,811,426,816,
766,591,082,108,522,779,274,647,010,167,760,901,856,297,177,144,807,295,265,
860,262,792,881,081,389,245,062,240,679,903,035,789,824,383,610,275,084,556,
053,387,635,224,064,533,766,397,315,450,432,911,759,853,753,069,453,589,738,
018,671,973,026,194,958,883,512,551,982,971,013,297,295,017,751,471,084,631,
028,113,825,845,080,876,422,349,510,292,686,015,601,096,988,708,294,266,327,
925,523,084,671,501,459,471,535,041,391,223,663,690,197,648,782,445,511,206,
761,654,127,037,338,652,782,629,687,337,017,745,947,067,033,617,870,856,063,
607,888,642,099,855,226,320,825,596,147,105,794,784,341,058,781,659,062,793,
689,066,294,704,725,901,219,403,041,587,380,860,472,368,330,675,980,131,209,
920,648,803,701,796,544,229,989,424,497,775,920,860,137,765,429,406,774,716,
155,745,069,673,369,304,480,812,290,802,948,857,573,601,291,985,561,212,130,
068,206,895,448,423,411,203,767,632,401,495,400,479,997,379,391,882,612,775,
695,643,957,805,970,456,314,504,833,018,045,314,807,596,307,436,175,968,604,
141,100,189,379,496,832,709,436,840,031,129,949,585,478,176,737,655,030,097,
734,957,800,843,471,235,770,443,035,528,174,754,839,691,674,623,656,738,716,
611,420,317,168,247,827,673,524,735,969,239,569,064,024,190,310,830,054,210,
970,224,521,375,040,810,475,726,176,403,287,714,705,915,680,337,519,866,748,
888,658,460,507,802,740,202,306,103,115,310,863,742,400,677,429,972,132,968,
287,096,692,631,452,201,772,519,381,109,371,172,926,357,856,677,691,901,254,
071,687,298,566,662,821,124,278,627,205,002,972,032,718,884,132,492,335,600,
256,501,759,173,314,416,954,791,843,407,071,568,821,942,609,937,900,983,835,
259,064,319,659,042,331,143,283,041,409,961,986,181,154,712,742,032,062,509,
626,470,307,914,747,428,131,715,427,142,016,657,263,476,550,394,466,126,601,
966,383,334,657,606,653,241,174,500,817,780,966,985,895,616,727,159,783,095,
245,817,797,268,389,468,663,011,807,327,672,198,411,089,031,741,677,277,028,
045,051,111,036,920,886,569,893,797,162,179,077,201,254,333,954,476,954,590,
063,849,150,446,441,610,940,013,306,217,422,316,853,616,530,796,649,387,996,
305,647,941,801,782,141,902,665,065,019,102,638,551,701,388,295,269,079,259,
997,636,651,131,368,276,346,515,594,991,014,622,257,740,028,967,134,095,438,
678,658,058,314,939,014,712,576,795,640,927,701,155,865,283,882,238,577,045,
496,042,688,548,394,039,768,990,376,548,722,507,827,100,553,353,975,578,227,
866,799,753,814,370,313,007,486,810,879,403,323,608,896,285,679,776,917,990,
869,339,221,506,301,541,584,447,922,241,420,450,055,188,343,215,702,337,669,
564,172,156,070,930,306,481,787,601,694,884,776,309,290,860,181,625,615,040,
138,485,962,425,296,794,597,532,224,122,114,627,822,115,176,678,405,947,554,
720,428,284,542,933,742,843,908,600,857,932,656,916,581,959,675,291,032,047,
105,868,646,326,360,950,643,751,399,684,044,793,314,564,819,502,813,514,125,
007,194,562,810,401,643,588,552,112,116,665,975,386,819,039,742,334,170,589,
834,807,304,323,884,106,816,948,738,494,855,979,422,332,578,330,762,757,960,
978,735,718,097,930,192,907,827,977,760,189,601,131,184,806,494,585,612,324,
949,796,567,790,573,358,470,770,171,856,568,120,031,290,173,046,970,970,619,
340,782,231,178,303,681,632,864,119,842,485,267,287,020,197,517,488,597,667,
029,353,124,928,142,541,346,649,503,323,104,355,711,521,106,590,306,557,488,
783,048,639,697,550,099,124,056,377,198,812,946,442,833,526,860,630,825,928,
259,207,057,078,674,567,709,907,258,297,886,278,036,659,469,837,316,550,343,
839,888,897,329,851,262,510,565,307,353,288,363,025,566,878,117,849,317,109,
965,462,419,527,728,548,360,981,338,382,734,152,712,316,706,359,452,217,210,
109,812,915,155,790,237,305,007,504,443,557,457,352,637,527,785,439,900,902,
755,106,009,517,588,287,648,666,548,522,057,348,391,837,994,072,796,312,934,
835,350,886,714,550,234,313,399,330,472,277,333,744,284,950,854,228,209,578,
642,248,723,833,797,605,912,337,781,596,274,103,865,346,728,695,855,258,108,
204,595,593,677,392,687,895,557,845,887,062,382,562,136,195,579,974,031,102,
714,155,107,374,661,074,029,042,396,616,085,373,157,727,361,249,520,294,326,
487,464,625,318,619,935,911,259,749,239,787,618,483,625,335,473,019,099,348,
717,684,346,049,380,977,316,053,861,368,451,088,175,106,730,059,367,343,893,
260,718,332,139,082,790,474,879,353,971,979,560,837,368,489,469,054,040,313,
517,908,153,022,988,269,712,839,154,688,055,086,800,313,206,245,739,823,368,
466,137,486,813,381,022,684,589,578,480,236,939,230,714,694,214,209,873,430,
499,091,840,516,251,636,709,042,344,424,619,591,794,530,391,687,209,694,282,
894,550,859,166,799,056,405,363,783,859,565,032,887,317,902,451,087,704,722,
708,029,678,920,176,978,755,429,900,824,759,022,781,696,627,190,740,268,035,
807,173,708,953,374,463,754,924,818,673,625,665,058,596,396,515,893,609,257,
241,781,467,437,291,154,518,803,133,847,586,321,220,564,664,468,482,272,404,
625,729,550,635,629,696,543,587,125,454,617,373,370,866,639,558,596,358,757,
858,490,390,728,533,417,836,716,213,464,551,933,302,980,897,529,971,394,152,
241,364,885,274,588,067,415,344,483,746,734,588,677,971,827,880,133,777,922,
163,332,764,651,642,725,566,293,599,473,367,158,305,569,004,968,758,918,420,
678,015,147,889,336,052,466,037,139,503,680,636,870,774,319,847,271,681,032,
131,192,406,964,156,747,235,418,630,634,635,859,748,245,801,162,180,008,403,
534,639,400,013,168,292,153,733,021,394,889,088,313,954,046,716,682,343,260,
362,987,025,868,569,240,724,123,617,819,256,555,460,495,876,719,292,689,043,
553,960,500,555,864,614,161,294,356,285,722,183,427,985,084,967,038,925,436,
005,039,283,718,843,698,379,159,781,067,639,019,170,026,106,715,908,687,172,
289,973,867,981,322,580,946,613,792,864,449,871,555,582,900,899,699,335,535,
060,485,559,217,627,377,797,198,612,563,646,681,882,910,082,567,287,296,624,
145,796,126,801,053,218,526,083,115,406,754,259,600,030,872,270,415,149,594,
591,289,324,705,354,496,057,769,183,503,304,105,373,279,510,256,551,390,517,
272,628,122,891,405,100,838,176,921,059,378,510,480,369,136,892,556,945,641,
534,360,945,767,873,987,274,037,898,063,796,737,971,060,253,184,802,297,063,
463,548,103,321,779,988,549,880,754,124,289,329,034,493,070,481,609,262,908,
290,511,960,982,092,701,646,707,063,749,591,312,802,968,170,572,569,349,462,
737,022,931,697,175,616,126,399,554,282,913,232,494,843,150,442,823,088,572,
417,635,517,643,538,004,128,292,777,748,831,001,721,310,141,956,855,642,731,
828,146,045,422,661,115,442,049,769,445,517,635,076,231,466,500,792,233,515,
361,599,306,707,955,985,564,570,821,758,017,129,754,437,503,486,543,199,842,
583,575,002,270,351,105,302,266,901,216,758,659,291,588,446,408,994,309,902,
942,675,494,631,558,701,549,287,683,439,451,218,600,175,928,585,236,115,652,
001,249,243,459,444,461,704,189,620,387,348,477,162,987,751,324,805,486,827,
051,669,060,667,942,617,144,922,286,640,363,079,624,717,713,049,167,910,872,
214,934,165,145,726,511,356,324,890,345,158,414,057,820,132,730,833,269,110,
720,450,368,399,489,502,640,681,354,237,861,343,936,143,043,977,605,584,757,
875,182,990,863,727,571,454,427,657,361,313,901,414,989,550,204,105,691,013,
216,787,227,919,743,129,229,263,409,042,767,531,053,996,721,780,408,169,720,
431,980,983,139,982,184,205,886,386,482,543,931,502,339,215,440,787,260,596,
278,858,754,713,921,882,294,764,690,844,797,499,343,742,940,038,922,055,254,
327,286,559,329,771,445,861,835,371,331,634,027,303,571,670,628,555,083,781,
700,573,172,223,559,241,260,017,220,728,431,118,304,957,327,026,815,727,395,
002,229,289,396,701,552,737,027,981,418,159,540,120,593,145,212,514,892,684,
766,184,199,162,784,680,096,433,721,556,740,723,234,483,066,132,756,343,399,
334,822,098,521,095,018,413,292,854,571,577,085,874,409,234,719,434,212,680,
940,456,207,836,283,506,650,378,104,444,049,868,148,404,406,206,058,146,494,
477,542,712,903,279,328,464,722,374,885,207,881,716,655,431,129,495,785,063,
659,732,210,547,451,394,163,824,520,062,692,331,201,333,307,101,194,966,873,
331,573,523,625,479,333,659,337,955,004,547,813,553,184,798,382,309,817,550,
565,099,801,751,130,472,348,380,676,102,811,910,623,965,294,051,494,645,337,
085,599,285,425,028,398,849,727,287,916,215,611,851,922,693,521,340,068,144,
516,534,024,278,891,051,456,758,336,882,752,631,312,512,103,510,012,544,180,
087,528,252,786,941,817,377,593,320,427,246,051,374,411,759,847,919,316,762,
250,808,617,283,098,780,137,692,664,488,422,700,417,750,156,507,873,722,602,
905,325,034,262,570,270,893,144,463,826,630,707,161,866,886,065,830,786,154,
495,729,046,851,418,873,458,304,390,223,956,704,125,992,817,486,524,844,306,
481,973,126,559,959,398,967,554,411,090,599,684,608,462,196,421,010,878,335,
930,671,956,257,345,341,704,084,366,955,374,778,257,681,482,970,446,669,043,
560,798,235,834,730,528,800,954,450,303,397,835,172,056,499,615,112,475,588,
925,452,490,760,430,539,297,286,630,000,498,727,160,737,345,397,824,425,334,
019,644,868,203,044,881,826,928,451,163,336,771,912,586,411,159,757,349,109,
515,705,414,623,443,713,702,869,858,854,705,753,025,429,660,207,315,807,394,
176,602,457,320,552,640,582,183,177,631,749,715,931,387,871,172,661,570,379,
613,599,596,774,679,821,585,731,715,341,186,099,905,175,450,983,381,459,816,
699,182,182,782,665,156,555,707,219,587,644,527,257,375,850,240,744,484,536,
016,512,668,316,359,419,146,546,535,074,815,567,191,655,578,761,217,267,674,
912,643,741,204,785,104,138,244,633,161,934,553,765,365,739,327,720,629,902,
579,051,353,000,657,271,208,963,324,628,480,375,049,822,744,432,234,289,048,
319,364,326,975,432,902,410,523,702,441,153,198,832,204,452,707,734,223,549,
348,930,126,358,070,260,242,053,041,129,504,506,980,442,052,353,237,936,020,
861,511,744,601,863,023,611,037,624,405,299,798,434,322,714,453,278,689,567,
210,171,044,922,756,432,202,922,365,011,505,970,330,929,926,540,580,505,319,
858,516,496,566,176,214,776,771,649,824,820,185,466,030,137,073,891,521,780,
216,760,558,921,722,549,549,151,979,762,149,988,339,355,672,261,529,090,742,
916,625,723,226,095,141,496,360,065,868,470,664,857,105,826,153,482,992,200,
678,492,838,929,177,908,255,935,069,387,165,638,782,555,961,099,631,469,941,
202,576,675,156,857,568,190,867,268,376,905,329,493,461,649,601,858,820,170,
610,089,693,244,762,194,190,442,454,224,482,119,748,033,722,969,178,164,884,
836,179,514,561,378,561,056,833,809,908,568,257,831,680,010,512,547,281,960,
960,786,293,599,385,222,179,647,095,337,767,440,349,334,035,317,911,854,423,
066,802,708,145,510,703,494,125,943,625,617,030,422,013,903,632,639,142,458,
501,313,775,824,645,789,600,410,402,123,061,049,843,060,546,003,174,380,596,
090,199,486,862,582,583,935,358,090,957,476,811,370,293,610,045,604,680,882,
740,846,913,510,057,861,094,922,856,079,882,003,953,468,830,481,675,837,485,
613,338,545,017,767,849,014,527,614,051,868,841,054,922,447,236,164,754,030,
393,851,814,682,511,626,268,198,129,994,843,954,654,851,110,355,487,664,693,
912,510,869,590,134,552,383,800,867,949,441,382,404,013,424,720,520,178,041,
072,998,785,982,476,392,230,410,591,968,110,143,410,155,731,916,984,499,919,
312,907,993,493,541,527,290,068,974,308,622,190,550,050,232,634,884,837,373,
591,434,477,760,185,400,072,437,488,869,207,962,004,842,208,568,277,443,090,
980,156,391,194,310,253,570,350,749,862,914,998,880,533,554,761,393,747,617,
445,420,729,610,576,242,455,538,227,799,470,492,112,476,579,988,990,319,828,
201,204,875,138,047,965,480,733,288,756,859,840,666,794,689,040,340,764,488,
869,080,559,996,083,132,135,547,408,592,581,504,164,554,802,011,390,736,769,
619,090,181,439,603,171,345,859,594,231,510,074,667,498,495,424,959,050,216,
903,789,219,743,564,128,440,136,384,951,935,171,654,296,485,710,890,483,887,
870,829,306,059,798,477,324,679,203,417,867,644,185,776,423,399,622,676,466,
263,192,130,522,481,240,442,293,767,450,336,625,077,645,320,380,091,602,872,
070,217,348,634,637,932,238,211,586,790,803,920,785,005,880,013,194,300,593,
481,476,575,969,680,517,605,886,227,472,586,298,042,816,662,959,324,930,453,
227,689,888,448,177,904,755,293,596,793,409,922,961,226,541,534,449,727,803,
267,497,992,977,815,113,035,164,748,680,684,170,486,138,702,667,605,387,887,
047,332,377,817,567,392,322,326,356,211,993,258,327,430,725,850,130,581,186,
611,244,012,483,060,769,041,531,703,473,845,607,825,257,951,701,149,791,314,
202,167,823,312,460,240,928,829,101,895,017,067,469,378,360,059,230,845,057,
593,110,296,868,503,752,846,786,624,727,181,459,067,533,536,681,404,156,888,
627,123,308,937,899,957,497,353,877,247,406,650,894,187,590,669,931,661,103,
422,026,255,875,732,841,476,253,423,699,431,230,969,358,992,942,319,789,262,
524,179,645,750,689,385,873,233,215,894,776,710,145,573,715,149,344,272,853,
764,676,655,233,393,647,888,165,570,487,877,030,446,991,432,458,937,268,963,
135,688,391,384,229,819,513,716,559,033,816,903,097,371,296,725,541,022,019,
888,545,700,169,356,354,783,348,457,130,229,955,635,140,060,017,408,501,972,
355,152,186,506,620,204,023,450,238,080,354,051,955,845,316,933,042,215,408,
057,303,130,708,359,147,519,860,663,939,617,465,372,386,378,473,500,078,476,
637,255,472,434,680,117,348,271,621,874,381,547,221,220,957,928,691,066,668,
411,198,112,072,671,629,589,332,400,004,372,185,791,969,664,768,491,306,364,
130,488,272,614,338,040,222,591,299,101,824,028,984,883,160,533,336,657,457,
807,481,255,919,009,747,411,407,231,646,925,636,697,552,241,530,929,052,033,
119,081,469,074,808,061,891,190,464,141,568,711,973,666,068,747,948,554,891,
340,155,407,932,292,085,282,176,805,910,074,641,487,257,878,913,962,948,105,
096,189,785,209,365,602,554,286,428,276,395,438,564,104,549,062,450,959,188,
222,920,987,372,422,261,354,747,119,167,735,467,282,273,630,830,508,690,281,
255,753,127,166,407,301,564,643,298,483,897,690,863,312,378,976,338,455,373,
147,366,003,211,208,646,894,271,985,472,806,432,629,243,959,119,935,020,799,
253,037,495,207,011,219,690,413,667,213,906,165,851,981,180,645,949,333,238,
193,693,543,152,888,147,081,933,091,408,619,910,388,843,937,897,420,202,641,
056,464,165,237,825,798,916,274,378,847,887,216,654,851,541,472,359,685,884,
881,781,991,562,911,385,213,316,275,783,010,222,126,335,943,361,330,097,343,
213,903,566,766,673,022,725,721,502,727,234,595,992,146,991,750,166,620,645,
764,110,877,893,041,484,714,070,235,258,854,019,032,744,251,365,747,798,963,
492,389,432,997,559,111,443,243,165,712,230,246,660,646,464,964,588,989,496,
603,689,533,428,919,046,818,329,260,718,871,973,759,288,691,988,651,464,448,
912,963,067,834,112,519,971,738,506,034,144,514,829,384,699,617,484,087,191,
882,773,356,527,740,680,979,032,239,529,275,497,589,573,139,074,522,840,239,
500,861,759,616,215,624,032,963,208,411,164,902,576,210,545,549,581,096,084,
166,526,751,366,321,660,179,725,349,923,284,163,022,242,519,761,391,033,395,
144,780,453,372,926,805,209,587,733,868,734,673,718,897,104,353,940,352,287,
240,152,138,199,651,381,763,911,034,658,573,707,293,895,710,025,800,062,274,
608,614,071,733,371,879,308,752,410,053,208,975,541,522,072,095,146,660,362,
981,445,402,756,332,687,652,370,809,348,296,182,239,392,428,042,363,662,875,
494,537,988,071,790,820,914,088,736,442,443,226,121,389,092,034,823,194,387,
529,258,547,635,986,576,765,995,888,748,487,199,481,358,384,803,805,540,534,
529,292,265,732,443,623,313,547,659,739,031,783,722,019,781,515,660,515,574,
509,225,356,569,195,799,371,269,722,343,155,210,727,939,787,514,879,428,278,
935,970,363,362,077,769,142,092,190,711,659,689,948,026,270,134,697,259,687,
570,888,757,841,682,798,787,854,039,173,754,438,141,790,311,524,609,317,708,
717,594,625,030,340,949,749,455,902,537,347,947,428,689,878,067,199,309,869,
099,219,159,828,887,574,550,858,753,238,548,355,925,980,935,032,443,782,637,
255,416,850,605,584,540,025,696,119,601,311,080,834,924,214,849,671,273,010,
255,828,149,174,876,566,252,852,738,631,504,028,596,857,322,402,157,053,378,
898,677,604,455,383,008,955,150,806,099,139,396,215,836,649,733,136,706,641,
950,138,856,441,671,122,086,459,081,989,324,890,502,594,918,204,437,192,392,
323,615,507,787,720,697,558,061,091,002,829,546,961,515,748,927,559,894,147,
702,170,217,609,126,176,878,374,533,672,062,084,583,113,395,070,223,665,280,
275,366,879,148,692,542,372,879,923,003,822,767,069,569,449,355,026,589,101,
616,285,789,111,764,002,545,288,430,713,821,088,446,141,975,019,330,029,967,
629,450,346,698,731,172,958,776,821,083,813,110,036,903,365,362,013,920,632,
591,122,391,559,686,644,994,221,538,763,218,114,826,641,108,678,715,585,965,
837,421,974,294,376,779,680,588,232,163,064,293,736,753,378,573,727,426,350,
455,642,480,621,855,886,250,000,570,035,133,483,473,001,584,050,015,936,675,
818,191,876,650,315,725,345,679,638,591,624,599,163,078,884,204,120,275,449,
475,447,965,780,650,750,857,669,839,179,230,183,509,361,373,019,780,277,402,
630,170,246,093,958,431,523,897,454,562,707,356,581,954,485,334,187,908,838,
194,324,466,296,609,807,416,231,642,009,660,997,529,601,192,376,796,246,569,
121,116,893,506,765,912,967,403,136,391,853,604,529,734,178,923,283,473,511,
871,844,142,750,807,069,799,055,958,775,185,597,202,823,886,349,058,419,495,
844,294,822,242,541,776,125,420,684,778,349,927,719,115,916,021,117,394,679,
606,360,425,046,726,945,733,080,258,276,267,385,916,962,845,648,264,166,887,
422,694,904,123,504,347,897,559,694,995,580,483,128,415,947,931,424,844,762,
910,303,225,036,957,707,743,085,083,469,942,251,379,539,344,457,251,119,430,
499,298,784,222,302,426,805,426,010,595,925,025,412,943,606,275,909,410,982,
966,379,584,137,130,960,357,327,663,652,169,105,928,911,584,815,216,373,965,
577,116,210,050,555,262,042,320,506,169,125,765,787,190,765,625,933,139,142,
782,895,921,785,404,084,078,920,391,939,348,223,494,533,110,888,793,690,440,
026,106,786,600,191,825,541,930,373,786,442,396,422,892,364,752,345,789,280,
881,972,535,609,946,041,409,353,482,909,261,813,465,356,917,488,023,240,445,
835,489,454,841,162,182,928,801,292,340,483,945,097,843,214,893,468,779,677,
102,477,592,132,543,915,255,509,116,932,322,806,751,939,124,734,802,792,449,
994,171,567,512,594,098,269,563,108,922,856,254,902,039,712,204,065,126,293,
006,801,897,376,273,490,907,165,105,716,631,455,033,417,087,754,317,002,324,
240,331,316,283,734,506,553,656,106,997,848,470,382,879,234,541,043,198,979,
041,467,447,031,770,781,128,252,810,609,084,499,403,046,448,238,251,874,730,
528,109,397,941,966,548,780,576,642,890,349,652,107,673,513,622,975,100,098,
666,479,513,539,424,238,997,080,125,947,768,547,098,079,879,002,700,526,024,
364,940,789,045,593,172,610,060,294,676,091,584,360,682,980,766,669,647,301,
253,343,832,803,747,408,528,858,904,070,523,839,754,923,466,927,278,457,288,
689,714,625,249,424,033,456,758,813,218,500,503,248,921,146,670,865,998,645,
047,278,910,483,068,902,544,115,533,034,788,161,540,094,555,862,518,958,120,
789,709,183,357,737,027,288,989,787,174,129,362,525,739,585,821,428,139,918,
873,485,223,381,730,888,858,960,255,035,072,987,134,176,277,641,335,923,386,
506,940,921,069,363,072,563,783,836,989,550,828,536,082,396,808,902,830,659,
303,130,312,513,112,469,284,863,828,971,534,601,430,378,722,248,054,763,261,
536,899,297,263,634,802,864,335,959,956,853,520,218,470,344,015,289,593,079,
748,248,325,009,318,496,878,551,716,898,985,790,151,817,627,076,302,152,542,
649,353,516,735,430,286,430,660,173,094,832,700,272,325,223,992,910,398,891,
943,070,095,104,411,995,420,961,468,861,058,750,132,202,971,768,564,627,387,
242,534,032,317,845,909,744,383,015,296,397,052,633,690,348,792,280,966,817,
632,944,991,189,705,013,855,443,699,975,362,197,712,167,813,530,385,373,883,
879,741,160,694,105,739,210,451,727,509,310,533,854,060,687,848,125,981,624,
563,532,314,514,463,425,668,213,212,117,526,470,268,434,099,661,782,321,877,
933,952,350,477,504,356,416,320,737,131,564,563,909,256,272,755,862,254,255,
236,986,022,360,992,041,360,436,295,679,402,541,691,644,880,708,480,354,059,
024,797,882,723,604,791,471,589,119,538,976,476,369,118,956,179,641,237,685,
614,125,444,128,093,843,698,699,573,686,076,427,612,775,829,576,728,907,313,
207,209,640,530,985,516,565,435,621,655,814,354,645,579,524,463,666,691,503,
046,273,566,436,603,607,218,334,196,995,988,406,378,134,023,366,255,837,301,
253,500,722,013,276,918,383,443,227,389,822,064,640,301,908,984,982,254,435,
782,109,309,708,465,095,795,636,778,553,326,075,654,458,357,372,628,146,048,
152,343,045,169,117,448,449,891,426,121,348,382,304,958,342,522,497,928,050,
759,045,154,650,453,834,870,095,236,820,224,472,522,578,807,902,639,095,435,
467,725,248,157,044,735,408,462,938,165,300,814,361,720,943,761,576,506,566,
330,672,290,098,856,331,434,241,195,342,689,184,964,175,793,243,510,504,040,
739,741,245,261,876,223,242,491,001,805,353,291,637,605,180,291,873,340,735,
542,728,161,899,253,839,139,830,059,108,491,028,630,542,152,940,010,643,263,
424,974,544,867,939,945,974,455,555,613,818,159,588,895,201,496,308,430,917,
665,640,508,520,690,542,446,893,910,885,223,514,857,852,855,466,505,575,144,
431,143,353,334,387,482,844,340,666,276,065,261,068,131,881,727,244,643,535,
489,045,596,250,056,133,766,148,265,003,350,530,538,566,975,599,515,030,685,
197,079,185,790,759,583,592,959,233,883,906,964,129,512,501,538,720,755,753,
673,270,421,360,793,629,558,054,707,053,231,694,229,961,918,409,149,173,406,
535,357,069,422,429,541,654,664,517,765,120,006,319,123,126,991,494,684,386,
229,143,365,159,157,229,574,732,629,555,147,061,948,742,191,401,445,185,770,
543,023,674,030,134,230,581,040,945,779,217,277,184,166,927,345,195,613,809,
225,838,774,201,767,290,962,605,194,936,375,920,197,237,989,888,265,881,516,
216,774,508,021,400,602,370,456,584,262,459,813,153,654,256,716,738,088,885,
395,673,353,573,124,144,836,134,417,263,496,340,451,597,266,838,587,244,990,
909,928,531,819,630,039,568,574,157,409,567,029,436,449,538,380,152,648,844,
676,330,121,093,949,777,597,061,647,888,385,906,508,357,581,083,176,591,062,
529,789,645,096,725,062,680,701,226,573,554,415,981,420,281,353,269,671,818,
512,583,249,862,664,019,656,421,926,240,673,292,378,241,759,066,070,831,684,
665,746,569,982,020,382,395,555,036,711,192,722,407,768,364,451,982,255,775,
043,163,804,548,478,711,663,208,379,776,568,256,833,041,403,275,405,878,981,
869,410,432,089,854,898,444,705,452,712,918,907,927,004,441,446,778,709,926,
662,320,812,813,467,598,488,772,990,801,743,260,480,136,247,864,485,173,582,
629,484,102,907,711,999,978,250,046,422,064,056,226,757,879,495,796,099,820,
609,399,474,806,898,478,231,073,322,531,077,222,398,435,945,745,524,658,529,
688,000,222,664,502,912,384,946,574,652,087,653,854,080,004,621,204,838,596,
167,188,717,776,312,400,638,596,261,805,683,257,492,203,057,585,165,824,125,
373,485,331,412,217,737,541,753,529,722,096,041,227,981,322,556,521,799,032,
595,182,507,206,299,638,982,497,853,666,733,191,035,887,573,350,261,604,744,
533,470,813,608,423,981,216,089,829,197,736,322,156,758,697,329,176,979,351,
864,585,638,918,214,018,467,172,157,250,679,489,003,205,719,306,591,565,389,
580,219,636,924,783,663,214,045,041,545,626,261,636,929,726,708,267,908,678,
267,122,416,256,276,471,122,232,910,151,193,771,619,420,994,242,350,800,801,
754,171,966,632,627,411,764,618,247,145,447,537,637,805,804,586,807,869,106,
638,054,608,798,757,840,285,432,246,505,256,556,261,908,399,060,975,002,303,
919,431,531,677,798,014,786,382,572,820,541,551,686,017,333,952,928,583,926,
394,295,858,572,359,809,338,816,641,035,007,540,234,387,038,843,873,099,908,
293,322,667,564,534,510,926,072,050,853,158,614,288,773,272,534,917,745,542,
327,138,732,297,451,403,063,344,745,582,424,506,198,378,399,396,648,813,792,
290,181,558,037,394,747,658,653,472,416,845,929,451,889,294,879,356,429,608,
153,705,942,393,979,135,556,347,478,614,669,097,709,178,481,959,918,599,434,
529,635,800,816,795,109,455,108,774,536,485,653,445,464,877,240,592,097,455,
817,450,868,524,217,362,572,974,794,669,258,238,043,066,932,330,821,866,459,
458,308,604,478,563,609,234,534,506,622,002,897,191,058,442,764,903,181,965,
515,501,915,280,254,519,300,269,466,308,781,060,620,973,518,160,849,533,710,
850,805,602,313,996,540,948,560,291,481,191,227,496,583,572,463,383,125,682,
995,730,802,859,663,092,311,969,977,253,726,687,786,017,064,756,293,266,978,
877,331,777,393,572,642,982,004,729,848,047,327,545,438,022,493,328,280,248,
079,038,627,376,961,882,450,569,723,655,266,153,178,265,971,606,843,674,929,
005,253,722,117,823,808,556,505,576,864,438,551,308,799,752,217,729,041,728,
360,458,030,973,921,976,182,423,728,926,586,819,021,518,505,233,930,969,481,
929,589,083,334,394,853,854,749,698,078,485,763,320,479,506,887,896,937,278,
285,565,254,786,595,722,367,343,202,794,285,367,951,651,591,472,593,568,024,
896,663,005,255,790,772,836,989,905,678,404,834,459,106,182,490,129,915,963,
462,916,986,718,546,980,986,809,299,479,943,515,211,555,883,900,977,734,209,
098,561,789,130,610,491,963,029,693,081,453,773,656,701,020,774,655,940,235,
456,733,299,325,156,753,310,835,199,985,978,649,334,627,872,631,291,661,690,
777,724,489,857,034,654,285,238,958,066,080,637,481,898,895,798,021,329,050,
503,005,398,294,657,920,387,693,781,556,071,321,384,450,943,032,732,948,586,
302,070,408,511,697,364,542,811,855,230,058,760,085,295,734,885,108,249,428,
062,553,450,970,363,505,823,176,551,409,645,909,285,554,852,551,224,337,284,
331,596,532,742,064,938,489,877,453,640,422,000,339,971,068,108,065,634,492,
290,770,323,333,572,235,714,916,690,387,576,912,833,846,530,074,000,684,739,
513,343,503,829,614,739,291,941,965,178,172,361,233,928,785,062,111,764,826,
952,571,370,601,892,023,146,918,228,522,881,338,359,352,371,967,645,211,462,
581,299,446,190,116,434,474,436,567,258,534,901,892,482,920,004,658,872,617,
943,859,580,581,577,944,606,249,260,141,014,726,703,484,145,539,260,864,374,
102,307,019,334,307,531,636,370,639,106,194,655,622,554,836,184,751,829,507,
595,146,750,216,062,449,711,153,480,472,206,463,440,057,162,673,650,872,625,
148,248,808,616,273,737,402,054,976,917,315,142,393,329,709,502,524,354,103,
012,624,041,699,483,598,477,773,960,883,094,480,821,874,022,295,875,646,692,
434,163,677,954,135,327,137,040,282,330,015,286,540,267,776,587,812,587,908,
015,548,757,588,848,896,681,492,356,897,002,308,157,242,262,129,269,646,567,
457,550,555,058,323,671,733,247,295,232,552,579,987,422,170,494,219,578,452,
507,917,721,906,105,834,183,602,300,771,637,927,778,483,249,920,033,865,457,
538,794,233,318,328,138,529,350,589,675,797,863,074,283,216,895,451,275,092,
400,494,363,038,008,440,378,380,347,954,151,241,128,511,938,078,053,823,493,
892,314,983,081,758,867,202,781,290,586,493,773,977,280,797,116,304,166,154,
516,887,689,797,719,468,599,109,058,650,720,007,157,762,651,768,356,103,045,
197,721,680,738,750,851,358,024,115,643,878,366,268,595,940,970,910,646,949,
542,554,460,895,731,974,382,312,426,802,540,301,643,075,823,817,280,058,035,
562,434,340,885,772,167,599,868,842,580,184,995,666,295,834,681,765,902,568,
807,761,295,433,100,939,730,425,140,053,015,013,372,537,586,017,957,104,081,
369,530,225,295,953,802,720,563,743,606,215,163,693,677,845,183,672,134,192,
415,479,487,660,129,945,924,974,763,617,450,442,344,046,367,530,499,653,912,
676,767,947,576,389,856,743,463,841,891,414,286,979,890,364,954,383,094,196,
599,392,838,658,504,975,110,801,549,071,762,770,912,655,950,504,879,272,115,
728,708,973,747,327,524,557,129,455,130,516,852,094,412,062,196,008,170,123,
332,661,654,838,454,857,854,383,586,542,918,646,314,400,288,962,796,718,508,
660,044,421,623,781,246,806,789,175,611,947,909,788,593,416,007,012,010,268,
055,672,304,103,538,336,556,050,270,882,507,510,868,361,583,308,783,511,624,
550,607,924,350,550,366,108,043,707,247,826,543,249,286,160,836,210,970,288,
157,398,833,782,398,557,795,685,073,718,754,011,036,499,784,535,103,022,994,
051,261,325,544,760,340,901,126,178,234,896,732,248,694,029,677,100,655,123,
397,451,832,590,331,869,027,078,770,899,306,473,846,455,180,220,662,512,815,
302,289,698,947,551,538,630,643,665,128,988,341,476,382,085,011,241,827,571,
166,104,351,968,885,413,325,132,485,096,321,081,554,843,261,257,701,288,841,
534,162,603,596,451,309,981,324,859,694,713,237,827,443,792,097,656,783,969,
269,978,269,243,311,615,645,716,306,517,935,474,192,673,008,191,382,418,466,
874,405,155,165,857,767,975,671,791,482,337,713,266,193,595,504,013,001,302,
341,103,737,291,650,917,025,512,988,754,264,777,847,452,769,357,661,271,152,
009,096,606,646,583,000,125,973,851,224,887,851,412,837,017,290,644,663,718,
026,802,042,417,265,893,440,362,742,098,122,980,524,687,940,479,982,610,713,
986,918,033,160,184,538,469,669,469,605,154,525,265,594,379,082,606,196,999,
008,877,544,513,968,067,146,606,763,057,183,341,867,119,761,702,041,558,639,
725,644,269,143,619,066,638,796,720,613,135,687,531,448,108,082,592,487,925,
890,830,288,478,571,751,623,540,767,786,905,271,100,115,083,781,581,603,307,
209,035,709,040,965,834,403,369,553,979,360,002,661,948,129,802,821,143,509,
767,577,117,032,281,286,550,530,956,120,915,187,390,227,336,320,152,109,755,
751,657,799,760,637,388,860,333,350,103,700,312,677,235,423,920,759,170,645,
509,395,951,380,888,187,165,444,658,405,503,156,672,342,270,549,644,767,422,
258,989,629,376,670,252,095,868,255,950,096,657,881,100,489,608,295,388,974,
817,932,768,822,961,989,851,367,750,690,953,084,736,950,988,181,590,940,406,
590,260,620,182,011,139,562,610,820,370,322,875,651,568,946,926,750,723,660,
383,084,703,267,173,715,413,118,236,577,627,731,416,338,293,225,643,621,922,
846,486,754,866,101,326,740,825,417,842,001,350,658,127,362,000,343,946,812,
681,225,663,595,077,901,483,050,180,300,739,439,223,248,737,763,407,635,970,
312,701,665,610,493,984,180,489,427,500,214,389,819,382,036,912,955,536,200,
077,169,393,809,832,722,661,016,265,654,020,271,333,619,667,395,707,961,346,
106,590,489,496,333,758,756,875,074,791,049,498,396,285,144,525,489,833,682,
382,507,913,485,348,209,413,908,319,696,356,499,664,509,106,339,982,677,481,
338,460,037,775,149,620,080,064,229,945,566,699,601,564,478,789,971,146,064,
702,961,044,743,844,834,073,837,720,241,235,366,054,515,295,626,435,253,137,
280,212,524,580,691,136,549,876,909,214,969,509,053,846,508,420,869,123,208,
199,406,197,268,039,323,819,611,482,473,351,202,616,379,507,723,969,274,106,
310,938,623,679,628,202,214,547,966,433,631,713,082,220,490,995,294,829,236,
519,954,881,536,108,242,252,831,929,669,394,883,688,595,346,005,694,032,509,
175,159,676,010,809,283,970,152,036,270,306,211,376,274,584,050,738,639,670,
242,573,306,224,386,949,524,568,922,909,099,269,055,956,094,864,669,392,801,
161,501,476,368,642,239,052,027,486,378,696,410,851,848,305,782,214,193,064,
391,028,139,938,340,140,571,574,649,657,498,132,877,557,423,979,313,116,465,
632,510,445,246,165,403,698,060,902,045,351,001,279,658,295,761,617,997,397,
507,687,595,974,049,909,608,711,249,553,405,595,791,154,264,566,871,208,753,
696,087,569,646,101,547,578,589,333,330,060,903,716,338,706,162,243,088,645,
961,093,810,400,270,531,012,795,033,679,034,516,335,594,134,299,436,565,643,
565,020,512,028,048,595,205,166,128,881,608,394,545,843,652,237,324,453,296,
801,567,453,740,631,559,724,093,923,555,855,525,214,993,154,934,142,398,430,
411,279,054,076,573,919,675,585,680,707,683,510,459,563,697,098,836,059,673,
413,861,236,402,551,721,630,143,142,746,075,531,520,804,653,750,565,403,673,
679,818,442,677,077,132,670,631,448,515,549,299,377,853,092,060,885,860,303,
881,798,711,544,238,961,836,823,572,057,553,034,255,217,561,919,239,530,775,
840,148,964,583,421,549,896,891,343,898,865,217,147,884,407,847,626,914,381,
167,693,522,347,935,123,541,896,287,880,679,310,198,130,934,020,812,658,482,
214,753,681,884,533,788,899,478,643,796,563,321,348,194,714,309,178,797,495,
635,806,437,479,972,025,227,719,648,824,716,935,368,356,529,440,415,620,320,
986,048,026,122,330,444,902,874,274,486,166,029,086,883,238,061,052,816,965,
105,927,106,453,180,481,048,008,478,137,103,541,013,726,919,642,448,699,827,
605,380,985,189,689,272,722,487,618,794,257,271,305,769,322,324,471,336,426,
938,463,273,973,773,729,674,607,501,451,955,841,554,946,006,786,968,071,180,
327,902,420,211,986,127,010,771,047,945,978,276,706,953,888,247,621,934,343,
560,462,167,167,023,675,837,054,551,539,680,032,366,217,115,607,081,185,044,
223,975,354,232,966,128,621,462,768,026,345,540,453,075,089,399,242,705,888,
963,646,281,745,051,819,051,664,741,943,119,947,553,298,585,189,997,373,702,
076,536,957,945,907,523,075,981,054,321,269,064,775,428,313,003,645,524,688,
916,925,859,801,290,756,289,702,464,154,013,593,010,085,820,529,906,612,263,
160,099,236,731,524,051,008,250,062,833,737,851,121,589,290,910,781,355,225,
068,124,890,060,837,750,004,707,434,570,259,521,971,487,136,512,857,129,392,
890,268,232,381,568,239,776,060,308,813,294,833,647,926,113,615,991,666,242,
593,454,580,996,447,805,816,493,346,263,744,393,898,964,699,254,401,162,151,
903,722,077,170,974,294,177,907,962,955,105,043,614,760,791,509,286,034,839,
610,422,209,019,322,359,654,750,243,034,054,805,874,064,849,588,652,364,426,
107,543,203,248,992,522,957,339,295,024,585,365,010,652,387,577,899,267,291,
630,669,597,432,050,166,248,000,590,239,085,900,488,998,653,851,645,022,643,
389,553,804,214,432,415,273,870,217,280,683,603,494,546,990,121,953,358,721,
806,316,730,171,177,023,062,350,836,421,940,929,666,935,156,753,544,211,332,
460,665,861,138,916,869,476,903,194,661,502,426,952,321,165,575,992,539,076,
210,233,290,263,859,920,020,568,830,895,897,771,531,252,027,027,596,281,348,
642,589,777,582,749,808,629,986,137,118,355,815,769,400,340,874,641,782,700,
218,530,911,545,422,634,776,066,079,757,405,657,893,763,989,142,487,944,211,
415,246,284,470,519,345,739,025,904,072,067,948,332,862,465,132,955,214,908,
871,121,542,979,627,929,390,950,039,094,755,550,642,741,283,275,498,953,935,
391,584,511,973,167,551,458,614,154,632,580,236,474,561,720,771,304,353,124,
252,230,412,842,958,139,705,327,397,722,168,468,703,008,630,217,238,430,230,
346,351,559,308,088,954,473,202,641,572,966,932,780,290,891,430,733,876,592,
081,809,245,781,440,649,646,598,525,952,822,240,564,873,400,050,013,295,218,
867,408,477,912,667,735,446,292,563,318,015,128,482,077,952,580,892,373,324,
142,147,501,432,067,389,137,593,207,783,764,889,148,872,498,971,695,571,226,
508,221,544,836,269,104,099,386,744,313,387,334,677,953,738,424,287,893,527,
587,889,197,108,691,979,025,743,452,143,735,214,438,203,065,863,873,630,941,
308,769,011,100,850,023,026,280,554,337,831,080,357,674,980,342,315,428,803,
956,074,451,902,045,662,754,923,476,088,264,160,851,832,279,636,023,620,486,
101,639,532,647,091,970,099,194,937,420,538,267,846,636,047,000,731,138,303,
548,128,184,005,697,890,807,540,000,334,778,670,775,374,944,992,572,329,340,
250,668,597,505,233,361,905,664,990,603,304,657,187,122,666,201,906,565,198,
928,198,654,748,721,376,651,692,434,327,082,920,749,928,894,169,788,636,800,
864,527,807,917,792,469,660,517,291,356,131,794,279,513,070,491,803,697,550,
039,438,688,378,008,913,622,167,999,770,688,465,418,095,511,183,700,391,581,
566,437,227,128,870,198,914,919,364,690,873,047,564,943,680,259,538,778,032,
756,502,310,283,757,633,023,792,923,077,669,711,951,767,969,657,477,544,152,
743,365,619,351,247,951,057,161,955,659,697,547,753,423,665,626,560,032,546,
248,422,194,461,241,808,569,561,352,998,057,104,969,826,673,067,067,349,980,
750,520,122,631,687,570,221,515,678,050,812,529,115,016,169,629,773,039,304,
164,463,116,642,950,294,958,444,158,277,756,191,784,052,469,498,185,120,931,
038,981,630,761,906,888,280,086,456,599,678,725,417,739,593,949,605,540,288,
199,024,242,364,780,519,316,353,833,852,890,870,216,459,538,675,603,539,245,
221,806,318,226,032,240,206,266,518,824,676,298,424,622,417,474,581,770,469,
644,444,442,671,354,049,671,062,859,351,444,818,745,275,073,016,772,911,615,
915,159,387,843,390,669,206,482,669,221,534,768,329,029,970,983,777,709,493,
479,491,563,504,662,100,199,343,091,449,633,304,683,831,855,918,978,048,883,
862,888,313,561,537,432,329,578,540,922,526,264,659,351,095,681,966,764,270,
821,866,100,592,241,046,941,470,536,950,291,393,352,210,800,288,737,750,404,
715,877,629,233,710,643,564,475,489,411,643,405,924,276,733,629,492,258,801,
787,923,682,053,628,274,132,389,703,639,970,037,517,032,051,984,553,511,847,
244,970,957,010,620,610,469,117,421,643,769,634,693,876,652,747,076,860,793,
056,481,498,959,267,736,512,339,473,426,508,585,777,760,549,931,180,439,117,
333,773,789,130,742,695,422,565,805,648,659,013,768,442,706,667,722,757,622,
681,762,842,225,558,407,592,461,839,661,126,695,459,910,893,716,200,457,004,
906,784,386,658,803,724,479,342,751,643,911,335,055,492,486,725,889,498,403,
033,883,163,169,008,594,420,479,888,061,279,851,491,638,212,904,483,730,440,
496,296,280,710,154,070,084,068,952,315,974,405,438,466,737,681,824,107,105,
189,942,884,584,885,041,656,123,656,643,665,681,503,288,125,446,033,168,057,
452,236,820,731,963,666,301,544,306,988,042,887,307,764,968,463,481,622,704,
562,120,911,857,880,406,872,395,836,901,984,370,097,068,433,686,125,807,055,
794,025,295,733,172,332,458,388,299,470,277,196,960,120,607,655,362,026,942,
775,031,036,752,953,921,657,186,006,524,087,300,379,006,655,758,086,181,110,
972,350,105,404,165,456,661,467,752,770,511,849,877,932,502,103,660,963,807,
198,615,476,879,077,222,116,299,196,288,416,650,235,545,570,096,756,177,653,
779,967,548,963,306,791,291,288,244,235,664,340,072,158,038,788,534,577,368,
046,815,482,591,454,326,821,565,435,272,927,438,482,272,332,071,802,861,944,
109,650,068,476,942,863,055,478,581,450,239,224,974,240,999,929,435,126,120,
759,748,989,125,836,424,380,434,152,464,666,182,255,491,268,220,574,103,313,
535,432,833,447,573,669,584,408,858,034,173,094,514,056,572,186,267,151,201,
797,729,009,443,081,884,106,455,263,534,936,648,394,377,371,139,869,743,104,
467,512,909,106,728,211,938,179,514,168,650,355,481,299,146,369,174,254,187,
085,417,454,196,991,375,697,211,082,245,248,141,488,676,130,050,933,602,964,
150,848,466,029,812,110,820,948,534,457,208,310,496,089,082,914,447,583,125,
863,956,091,711,739,088,377,878,782,866,822,069,949,124,035,433,802,338,613,
133,612,873,286,354,265,508,523,806,539,402,879,336,650,556,743,079,277,055,
993,972,631,633,415,528,847,417,968,133,789,505,917,666,544,886,383,113,377,
979,354,697,464,053,658,865,237,319,805,137,665,132,644,127,865,079,203,627,
477,105,679,793,972,823,855,315,166,152,629,934,677,410,644,477,086,862,318,
283,890,751,476,674,787,627,823,121,710,785,792,930,165,128,206,671,137,505,
971,258,644,456,875,067,124,759,107,823,135,046,907,675,037,398,406,234,747,
792,243,341,324,683,458,872,074,262,906,956,810,003,653,732,725,344,562,385,
529,119,349,507,850,546,577,908,848,575,994,053,135,806,785,004,288,323,574,
709,650,929,617,718,201,218,074,436,842,025,849,154,596,796,323,853,754,359,
707,309,935,458,865,076,711,699,273,743,716,591,469,899,564,823,425,801,679,
505,580,839,005,456,122,862,299,609,424,477,933,763,027,694,592,912,277,714,
431,944,391,191,808,249,044,997,894,035,256,683,304,216,520,991,379,039,788,
324,110,835,176,838,868,376,942,751,939,945,601,987,017,602,532,099,210,651,
256,620,006,652,157,108,441,534,330,212,998,106,627,712,892,712,158,060,646,
143,355,943,766,269,133,480,266,294,228,794,097,297,621,063,111,046,448,209,
847,723,115,305,436,129,011,263,168,848,666,566,045,694,031,428,896,743,893,
590,608,853,227,544,338,885,978,956,476,622,653,200,778,485,187,720,725,718,
293,261,116,447,445,920,797,272,463,664,785,269,705,029,459,545,478,141,397,
872,447,806,847,048,379,709,957,704,869,188,331,658,130,127,904,047,347,922,
439,785,382,430,945,092,182,195,347,385,920,893,471,501,930,576,687,118,743,
992,615,752,071,800,331,982,275,979,164,429,787,295,540,325,756,044,498,000,
408,470,499,328,820,164,912,852,497,653,357,077,669,965,004,620,553,610,926,
384,524,734,167,524,274,599,426,284,167,168,636,288,245,531,884,466,049,573,
555,789,401,228,009,463,904,724,933,128,200,013,740,755,563,633,996,434,189,
749,762,066,322,352,299,393,849,998,943,174,446,572,055,826,932,969,105,855,
852,923,187,865,601,920,567,980,588,780,892,720,646,257,228,453,795,620,952,
744,577,507,413,884,532,352,667,300,358,906,493,145,766,139,830,671,508,635,
363,636,860,419,853,203,504,662,055,803,814,481,423,156,633,309,223,098,494,
128,869,790,146,599,598,283,617,615,911,469,364,279,685,549,583,075,682,440,
110,294,581,793,996,764,090,272,072,915,936,966,031,363,077,882,786,252,410,
938,109,761,190,564,656,561,357,981,234,842,655,302,437,404,483,544,081,148,
576,140,077,242,393,705,522,561,493,735,481,131,894,341,765,835,141,569,491,
568,623,345,346,858,603,746,593,096,055,518,650,158,037,917,800,791,303,669,
135,741,754,168,832,522,238,514,041,106,796,062,349,008,657,522,699,161,530,
855,557,905,043,459,847,374,753,148,486,554,375,209,363,966,226,724,997,718,
658,456,123,714,681,177,937,405,579,720,844,445,644,440,667,667,566,803,559,
887,726,871,563,279,956,111,662,347,314,775,247,924,694,401,220,740,391,950,
012,517,141,948,267,286,210,397,516,558,667,015,359,912,386,365,123,050,506,
908,031,326,266,051,864,091,602,140,233,763,155,222,120,864,786,860,154,093,
643,778,359,062,749,877,242,407,971,831,755,923,798,943,764,008,140,974,780,
795,656,882,105,672,338,538,030,543,777,839,737,437,331,629,622,873,868,270,
293,141,047,969,054,829,978,192,859,893,025,639,065,873,396,847,181,016,563,
694,678,609,000,480,475,825,486,372,715,441,745,230,401,372,583,380,646,931,
812,639,029,424,020,577,234,940,923,676,076,620,510,649,949,496,455,680,350,
676,640,309,955,807,230,151,364,327,656,045,050,920,206,020,361,325,721,760,
644,096,938,057,394,186,659,198,439,415,459,876,751,748,331,655,294,722,294,
329,248,587,346,414,974,472,035,657,269,680,545,878,807,274,660,723,885,153,
425,261,628,820,475,653,146,632,192,412,914,520,293,034,828,448,618,586,614,
339,739,185,061,086,560,636,308,586,832,736,818,646,051,302,151,919,493,951,
737,389,083,616,080,505,775,734,579,806,676,339,148,814,585,649,065,679,802,
213,884,748,595,848,101,370,268,956,382,865,041,211,878,763,304,811,950,476,
485,651,040,234,407,971,665,820,890,441,159,445,965,923,574,342,553,441,233,
489,844,381,857,378,141,482,491,987,569,545,390,562,519,317,170,436,647,207,
621,037,915,766,415,423,739,712,043,188,226,050,883,032,186,959,478,352,767,
619,054,660,302,454,806,609,937,651,902,086,498,235,531,655,060,709,346,583,
054,357,250,302,319,303,020,576,247,353,112,831,989,668,399,087,672,790,690,
642,103,148,811,697,926,828,497,865,806,947,374,492,596,776,807,023,190,929,
288,973,357,841,917,991,442,129,205,819,199,777,461,990,158,313,792,048,229,
314,245,307,314,081,805,395,413,025,762,469,971,240,709,937,822,285,347,393,
245,118,215,856,496,466,371,558,842,489,203,839,034,479,731,620,232,916,107,
183,228,359,376,560,198,798,566,947,181,465,111,048,236,669,836,718,997,475,
160,682,732,869,002,165,136,908,237,586,892,383,802,740,888,700,352,463,091,
645,017,103,368,456,356,724,926,644,979,861,191,275,260,533,232,867,126,338,
423,166,909,657,456,151,568,394,444,870,618,118,060,206,434,579,356,818,078,
012,695,606,427,267,932,409,608,387,956,363,902,930,861,244,332,635,062,781,
740,808,620,860,491,521,008,215,564,381,834,065,909,710,429,636,173,908,160,
324,678,653,060,403,433,795,243,069,980,014,577,103,877,192,894,028,700,721,
933,629,696,078,987,287,922,837,300,453,597,698,224,005,225,789,616,089,140,
133,785,970,916,410,883,041,711,251,208,563,469,279,668,087,746,899,256,536,
992,608,411,527,810,338,683,763,687,540,147,793,714,669,719,222,129,141,920,
366,589,747,039,372,533,264,797,811,824,663,027,105,717,031,623,394,010,352,
387,665,024,100,423,787,026,211,225,968,917,543,164,800,012,797,960,991,530,
701,375,542,681,128,556,923,145,335,328,750,349,102,063,632,380,816,610,290,
656,556,294,881,343,300,830,509,700,314,477,825,202,670,889,462,951,655,470,
923,393,773,104,120,094,332,372,261,975,933,408,274,283,234,564,937,979,771,
988,016,670,773,845,370,873,371,644,278,750,949,589,979,244,624,424,432,438,
983,161,273,547,760,270,854,884,283,562,235,699,571,213,453,193,179,848,069,
087,016,601,975,479,200,996,623,590,572,695,644,187,932,877,534,360,685,313,
723,262,212,138,169,802,887,491,938,976,249,082,180,960,074,432,755,044,882,
783,021,502,122,243,029,550,262,597,836,383,138,855,150,162,865,968,767,191,
231,871,498,374,881,714,629,894,964,812,524,207,417,677,579,987,582,905,206,
955,912,477,767,932,239,701,963,133,777,447,913,734,510,972,980,090,805,581,
695,523,861,512,193,098,258,150,441,802,196,368,343,681,882,264,921,823,263,
016,059,442,123,209,767,653,933,117,427,519,367,848,327,460,224,196,034,999,
811,200,262,446,114,501,016,133,095,990,462,570,163,123,500,447,533,227,381,
962,817,799,790,741,536,789,790,779,959,544,876,633,846,746,217,030,741,502,
259,038,125,010,363,299,620,945,720,243,735,534,241,618,151,093,700,185,167,
943,106,433,823,536,317,871,695,604,087,312,182,080,981,863,918,236,837,416,
453,336,108,148,710,686,906,002,276,319,370,778,608,281,628,522,253,008,496,
506,982,007,118,710,626,217,615,544,809,167,209,395,576,508,051,017,718,986,
445,088,079,716,155,214,569,497,798,453,038,380,946,833,263,403,188,877,911,
336,012,862,705,241,206,822,945,818,056,028,985,667,728,589,704,778,590,258,
109,775,463,338,567,004,909,598,028,691,232,069,277,009,655,680,487,324,060,
170,775,027,750,261,333,292,045,475,671,385,500,477,110,963,756,951,229,385,
334,702,800,620,628,297,854,913,813,877,627,028,247,271,182,939,009,820,506,
629,641,550,879,041,828,028,575,685,899,758,428,572,261,183,429,482,496,218,
660,646,960,234,216,225,106,913,929,308,357,928,989,308,026,853,640,510,333,
604,168,855,522,846,444,024,025,298,904,136,944,746,943,472,357,000,408,131,
390,234,291,430,999,716,390,290,319,396,163,943,104,581,215,067,160,542,249,
045,931,783,602,434,032,776,255,357,890,413,711,609,581,233,784,389,687,053,
023,164,523,459,136,755,057,830,960,012,039,842,528,479,534,733,216,860,691,
940,366,176,672,479,710,229,466,810,776,686,809,729,036,153,495,460,201,700,
008,488,809,675,243,755,763,042,026,729,656,755,884,572,120,396,048,829,988,
751,577,435,754,442,848,605,779,066,154,790,875,391,188,507,766,299,215,326,
238,457,704,685,820,681,728,499,805,487,135,274,945,193,606,523,833,938,942,
373,433,972,375,341,996,216,088,958,326,627,701,488,774,302,165,560,670,474,
979,313,534,009,907,534,811,652,673,101,367,413,953,384,285,966,811,958,860,
860,664,371,585,825,121,620,853,382,556,854,412,604,068,663,708,347,048,078,
483,630,765,313,332,372,395,633,258,455,473,266,397,242,706,440,131,231,646,
410,092,192,383,537,387,949,366,949,764,154,273,376,164,563,668,581,420,942,
127,580,498,080,543,911,547,958,523,740,546,265,284,101,890,927,941,102,707,
878,618,060,782,284,012,211,051,483,882,286,377,254,020,534,852,628,350,929,
180,769,597,054,987,931,109,517,765,118,084,807,482,223,600,659,448,441,653,
017,671,021,982,022,603,064,337,941,356,188,870,406,173,618,385,101,476,711,
645,294,273,389,404,597,983,200,301,289,325,130,229,637,128,620,501,123,338,
507,370,329,036,879,616,558,303,326,088,794,398,225,357,431,286,217,641,694,
123,770,595,924,290,310,055,903,814,751,838,799,488,809,653,824,396,930,362,
837,739,443,348,445,824,256,005,971,173,329,506,655,035,944,386,601,811,017,
131,269,766,145,347,003,796,292,791,071,245,292,479,966,676,934,642,229,415,
524,891,964,438,785,935,959,638,411,481,997,904,692,474,747,573,649,105,719,
618,118,304,794,475,576,220,376,348,555,475,118,678,714,726,278,639,001,553,
026,837,484,782,811,303,653,086,071,091,949,959,018,070,826,391,806,322,347,
715,230,758,274,596,100,914,386,633,884,450,763,197,352,305,761,872,789,333,
045,259,740,027,988,090,074,175,468,777,513,386,840,042,503,708,433,863,911,
058,865,249,485,168,670,068,747,818,915,109,812,860,955,329,456,042,456,536,
213,890,784,385,610,691,241,509,925,991,551,284,008,443,869,298,305,538,590,
618,755,341,955,641,044,852,658,703,375,320,247,357,924,992,584,188,808,863,
959,317,552,244,819,490,549,308,163,763,737,502,688,931,932,007,788,430,414,
839,447,445,558,674,360,746,113,101,474,305,129,518,146,265,252,339,435,653,
253,695,493,526,100,758,788,665,638,392,209,831,098,645,474,818,899,464,030,
528,323,249,368,622,556,607,079,969,056,035,428,979,698,004,667,292,545,120,
161,494,028,319,820,113,676,323,401,295,113,008,647,355,212,845,618,305,082,
524,513,433,272,098,735,841,281,290,215,424,678,716,452,947,771,378,759,549,
346,365,287,053,243,160,430,911,089,998,056,714,815,426,744,120,755,008,903,
885,890,217,428,027,793,556,414,356,488,309,352,784,741,590,051,921,315,738,
595,462,999,137,810,598,769,037,063,988,068,052,196,509,801,099,327,353,864,
779,553,458,446,271,034,262,962,202,205,505,466,480,082,048,972,094,721,261,
937,055,099,694,921,511,960,312,752,753,591,844,582,373,450,675,338,437,338,
738,213,429,310,343,202,550,971,095,201,926,323,271,081,483,586,437,254,055,
190,006,528,600,950,768,849,431,874,260,766,397,110,918,955,701,673,923,292,
591,541,295,468,600,824,721,604,579,057,235,731,759,346,030,129,189,808,990,
852,112,845,720,149,840,108,673,832,966,554,859,874,443,595,280,868,800,233,
058,232,680,796,108,574,158,339,323,791,753,345,869,133,245,086,445,940,524,
722,553,329,521,305,979,237,495,832,810,156,748,931,757,209,359,289,951,558,
943,411,413,300,269,786,827,615,322,823,663,625,787,677,639,904,094,003,440,
828,450,013,839,690,627,491,278,571,931,968,263,800,541,896,098,100,159,855,
794,938,675,681,326,018,679,209,970,330,269,399,260,887,054,886,697,846,035,
069,747,934,574,062,042,815,585,889,275,472,645,370,351,866,932,883,812,313,
671,916,302,989,237,963,372,579,974,193,114,847,788,766,726,876,236,312,079,
598,768,377,867,167,743,510,174,584,348,804,721,724,190,443,538,969,249,725,
643,370,012,805,016,995,153,105,723,099,828,545,187,720,141,912,041,453,493,
413,004,584,446,345,423,300,062,459,752,832,338,611,697,857,413,793,533,576,
161,476,255,486,516,121,923,493,334,935,261,302,920,730,679,320,586,066,946,
286,246,833,212,463,518,087,971,261,277,355,423,940,438,203,005,090,917,193,
799,220,901,018,627,169,741,707,979,416,872,829,324,422,869,229,313,553,167,
356,897,636,195,349,104,032,780,688,212,397,443,987,392,872,442,956,337,651,
829,919,853,422,211,748,340,601,795,905,531,295,756,379,296,058,895,711,944,
240,848,111,259,272,892,353,947,539,560,306,176,078,343,201,011,437,974,159,
884,883,193,437,147,848,112,917,875,727,793,073,778,553,733,175,926,822,004,
615,893,567,681,052,582,375,881,639,588,299,681,198,321,495,806,708,769,610,
143,639,319,700,145,071,879,752,504,613,137,387,166,055,261,422,098,210,349,
957,229,425,839,643,899,844,346,649,770,857,823,735,094,787,112,024,583,292,
564,335,553,062,663,667,722,882,735,407,011,532,723,022,747,727,244,716,894,
520,751,817,925,004,620,740,680,446,645,065,454,784,980,002,540,055,389,290,
216,621,135,165,263,972,843,104,001,819,393,098,897,259,579,154,970,071,022,
281,687,771,379,250,810,799,157,889,097,633,270,239,190,141,180,840,040,992,
647,982,338,555,785,226,986,951,926,566,985,962,121,002,452,308,001,890,934,
779,736,286,627,931,599,275,359,676,737,951,681,225,075,581,447,341,905,011,
731,374,644,772,761,051,951,265,469,024,117,589,469,024,435,799,190,983,143,
846,861,420,050,419,127,690,639,123,926,867,260,078,017,314,137,031,602,775,
966,950,121,340,536,755,785,418,878,935,651,583,859,065,625,850,257,851,840,
395,176,861,047,212,920,347,410,392,768,813,658,238,272,666,879,511,301,137,
082,501,553,699,592,941,894,653,597,026,333,470,016,350,673,912,904,010,197,
548,978,129,750,538,191,060,314,099,973,457,422,092,202,582,700,270,385,528,
169,884,504,213,310,029,891,552,102,850,698,481,833,542,801,692,334,569,049,
231,837,552,987,945,671,401,692,560,889,979,576,295,303,714,893,563,357,410,
265,361,998,784,535,075,231,720,067,795,904,262,301,878,197,165,930,080,754,
143,090,736,913,168,247,620,929,395,465,767,831,501,394,009,222,200,376,107,
849,482,447,326,305,762,218,090,513,603,709,465,048,267,150,212,823,638,386,
817,486,263,096,315,514,069,027,486,837,582,331,862,774,829,294,749,558,362,
391,489,095,021,151,009,024,118,875,117,170,104,406,559,619,263,053,289,298,
758,478,231,314,430,060,409,732,092,156,238,444,124,698,345,144,087,467,956,
434,519,337,114,047,228,960,227,239,448,696,535,198,697,816,265,674,914,311,
750,015,996,910,177,746,237,439,139,831,026,159,403,720,891,080,014,729,640,
105,607,519,473,009,104,886,844,389,062,864,569,249,106,439,389,975,412,939,
735,914,484,944,702,382,539,594,951,576,786,183,787,708,578,904,250,656,967,
714,828,295,856,298,873,744,396,120,297,214,346,346,364,563,733,129,646,827,
041,097,057,155,380,347,815,998,800,609,450,195,372,777,111,908,047,947,943,
078,078,910,167,719,885,786,929,395,859,501,664,673,222,883,630,651,103,172,
825,016,601,348,785,866,775,873,694,671,319,187,935,751,913,976,938,374,105,
459,806,570,103,876,739,242,770,850,037,169,284,153,534,530,511,821,683,865,
224,157,028,530,781,540,931,906,255,952,896,655,698,587,921,663,169,786,097,
576,401,482,064,866,941,407,572,784,415,151,547,236,177,470,332,389,950,573,
844,373,257,309,051,204,210,652,094,006,745,928,577,355,453,904,439,244,321,
961,123,705,071,505,361,561,080,479,038,447,376,181,753,056,369,590,257,528,
154,414,082,522,210,307,112,738,617,971,443,938,063,998,535,534,847,285,250,
081,578,673,217,921,543,024,738,687,232,433,504,427,685,744,574,365,911,922,
513,622,565,169,324,544,165,884,676,310,000,773,126,172,246,350,179,432,721,
436,577,682,740,246,036,721,218,974,008,135,721,244,359,421,890,084,532,208,
479,888,690,698,855,101,849,117,600,995,902,143,709,718,445,041,522,405,585,
473,994,065,842,884,525,946,210,538,365,963,378,164,322,748,990,882,743,069,
507,952,366,336,118,700,440,798,861,710,763,661,531,720,569,525,172,135,839,
618,036,271,017,703,306,177,998,656,673,166,523,229,278,754,156,721,730,607,
028,120,436,264,275,810,239,255,070,062,322,639,184,127,121,098,183,044,941,
778,423,949,740,094,513,561,036,592,768,694,791,941,613,308,465,779,047,471,
641,804,880,447,221,572,234,535,247,677,508,052,086,875,014,202,344,472,076,
653,158,400,995,687,746,414,757,078,859,011,197,120,258,466,578,751,868,346,
662,214,198,463,934,605,321,350,307,577,092,950,372,591,697,905,872,629,271,
688,263,645,988,690,632,751,893,349,678,480,778,832,460,714,636,392,082,824,
964,788,525,201,451,151,854,696,342,863,089,551,210,131,548,236,035,409,493,
297,638,902,250,212,305,730,698,462,398,407,168,634,677,458,358,415,433,550,
459,778,496,808,097,924,105,908,128,565,384,022,885,734,248,207,993,158,529,
985,926,767,920,542,298,583,158,059,181,849,046,335,315,016,312,723,288,835,
561,632,039,057,827,495,230,749,629,851,152,382,763,088,392,005,217,258,474,
750,904,343,428,243,538,493,865,589,581,316,245,180,379,645,603,399,565,286,
241,617,027,325,563,370,131,015,802,337,346,458,533,125,094,090,809,619,895,
909,539,986,055,449,538,917,737,700,396,112,356,515,093,751,429,628,514,189,
494,092,344,845,653,795,303,997,837,662,204,382,012,622,939,698,656,712,641,
661,847,212,430,018,217,445,240,152,838,436,551,745,081,319,692,224,184,436,
577,572,128,299,272,567,111,079,645,040,997,459,274,847,193,520,234,651,626,
261,064,778,186,565,284,370,952,294,425,194,772,659,626,615,613,550,027,828,
139,226,323,809,167,799,973,494,009,300,503,569,723,961,716,836,440,924,743,
420,739,108,436,761,533,026,110,113,689,396,846,171,646,959,358,007,098,751,
950,214,569,112,158,560,882,193,813,449,817,826,717,639,217,045,201,953,754,
981,044,684,178,205,826,741,777,282,786,845,018,829,588,032,928,267,182,709,
041,618,584,861,693,246,459,120,206,492,909,517,512,382,528,562,312,407,308,
006,638,281,257,510,621,730,716,134,567,526,285,529,339,756,623,632,197,405,
204,708,505,425,390,985,570,963,223,632,558,562,965,910,761,922,483,935,529,
084,900,830,805,491,862,751,954,449,585,612,917,965,130,106,697,966,995,105,
472,910,317,884,068,916,430,264,330,083,668,258,413,762,114,314,276,876,273,
687,582,315,528,825,756,895,778,663,767,219,108,638,460,723,519,454,159,809,
534,453,421,925,725,781,035,824,303,806,720,592,508,993,800,549,126,438,621,
914,188,924,816,317,562,034,967,024,480,926,690,280,619,852,055,449,553,482,
986,671,430,375,445,261,339,140,690,498,368,432,156,907,076,596,715,587,245,
248,699,411,384,960,039,772,930,488,414,278,181,307,977,666,094,656,893,838,
555,333,047,311,810,511,891,960,795,914,966,496,448,346,024,874,371,640,602,
746,507,785,489,055,038,558,249,154,192,296,132,267,977,234,355,511,307,331,
382,290,921,570,113,896,581,210,519,379,614,943,500,208,035,737,551,342,837,
987,442,354,597,329,583,749,032,659,640,799,728,831,745,178,275,206,421,427,
174,264,580,616,879,058,311,567,734,085,703,388,164,156,088,816,263,179,469,
279,590,379,109,639,818,749,147,665,533,590,499,281,890,444,530,416,123,002,
694,605,041,113,375,853,435,432,469,407,684,920,208,517,740,537,943,184,035,
878,483,007,958,566,107,693,772,340,931,241,133,453,763,789,055,223,637,551,
899,762,532,576,038,440,646,266,899,669,510,913,148,833,992,795,872,690,774,
702,103,789,976,832,321,721,523,575,947,439,150,548,724,675,072,851,996,858,
990,348,629,392,783,916,520,556,449,988,950,246,049,273,287,333,814,455,554,
225,519,455,951,995,335,503,617,413,774,959,043,891,270,497,570,927,441,063,
064,835,687,169,382,873,688,358,143,381,512,022,801,509,168,070,596,187,231,
849,429,853,260,295,191,899,779,873,656,317,299,314,397,203,446,008,348,574,
534,985,688,557,572,095,526,082,151,148,190,479,237,521,330,390,689,441,908,
010,723,661,400,215,355,410,535,020,231,129,358,515,699,285,949,286,887,751,
246,497,310,500,429,064,362,873,423,145,411,947,474,581,589,001,609,643,549,
095,644,614,389,129,262,055,478,064,693,266,715,847,288,939,814,915,991,318,
643,863,019,829,839,828,573,284,909,258,283,932,459,891,298,553,917,514,129,
064,121,233,176,765,812,064,075,507,045,086,165,707,833,592,023,759,138,164,
580,172,061,807,056,315,349,054,403,261,161,721,332,995,161,622,248,274,943,
372,906,661,580,450,665,663,191,764,495,908,613,282,449,541,517,196,966,745,
291,409,929,107,620,516,667,502,477,937,491,025,023,284,134,138,051,505,960,
987,197,200,946,143,530,995,289,962,164,168,903,492,974,900,987,039,827,681,
376,672,655,813,271,826,286,208,041,272,731,452,139,833,634,084,358,796,837,
415,704,444,146,879,953,752,280,705,732,948,200,218,845,512,343,289,072,672,
462,651,379,721,302,148,153,625,413,607,775,835,121,566,977,745,401,791,635,
932,639,818,739,285,574,852,330,995,906,019,144,633,888,383,742,103,886,607,
609,694,941,249,370,027,958,276,678,066,237,245,878,596,081,702,050,045,156,
144,557,563,606,673,796,318,819,309,851,970,612,969,312,277,606,417,469,094,
436,142,684,380,341,606,847,832,304,493,224,754,617,920,349,087,822,890,511,
793,617,034,457,350,645,481,574,388,070,958,164,673,527,793,064,916,873,405,
534,913,144,942,755,438,542,438,549,756,300,689,168,130,856,349,803,357,132,
333,756,700,356,098,164,213,617,976,879,807,527,332,268,039,389,313,314,978,
474,766,070,203,761,979,174,902,399,089,303,449,266,313,046,084,935,217,399,
859,261,704,062,767,101,553,444,573,284,735,467,038,402,608,584,060,517,126,
514,179,724,092,970,015,030,202,090,398,231,553,392,179,054,919,114,948,446,
655,503,201,603,826,469,032,799,100,700,550,610,940,881,102,235,514,684,727,
798,151,343,440,230,029,624,776,471,983,040,720,526,874,372,213,295,108,075,
157,885,633,797,190,561,857,247,640,630,276,620,324,649,380,264,975,015,194,
654,647,547,591,003,119,733,589,094,210,148,376,676,498,593,400,677,104,117,
931,500,910,672,933,670,234,844,953,575,404,942,333,550,635,092,402,547,807,
062,749,999,058,375,808,296,483,572,106,903,653,130,819,681,544,206,669,861,
682,945,656,890,582,690,138,928,705,509,987,065,241,013,792,501,331,796,869,
088,897,384,240,317,493,192,259,388,109,784,730,278,940,972,364,779,311,351,
027,677,753,425,486,616,142,572,364,188,858,363,033,065,879,271,101,374,744,
076,354,037,191,429,183,862,449,778,116,907,225,434,360,838,410,671,779,110,
535,083,659,612,212,246,304,391,341,988,584,310,450,663,881,888,912,500,469,
895,631,007,845,756,903,012,975,732,419,708,848,949,513,101,243,212,680,535,
077,613,558,269,958,790,133,880,242,354,735,441,193,271,809,261,338,420,493,
775,454,707,667,730,155,601,476,794,720,078,091,315,918,043,578,805,724,804,
879,264,551,618,116,056,746,459,371,512,339,923,759,711,441,406,465,295,048,
791,654,520,981,655,493,253,094,365,196,729,684,086,362,379,169,765,769,766,
926,625,199,417,710,693,311,884,392,836,819,041,873,833,917,348,361,306,204,
613,009,920,528,815,262,057,800,124,106,354,791,890,674,084,998,304,674,946,
973,618,843,650,336,268,283,990,546,484,764,175,764,520,799,254,267,608,512,
671,158,836,131,600,699,736,205,627,712,305,181,080,652,176,382,108,184,011,
275,430,173,733,503,679,796,706,607,258,018,471,376,377,189,692,464,617,523,
936,004,314,580,839,698,934,667,972,775,327,029,970,806,745,600,691,361,535,
145,453,816,282,728,513,189,391,394,387,751,882,383,283,565,413,649,081,595,
640,840,469,678,082,422,803,941,475,354,882,662,614,686,857,695,575,311,016,
481,264,621,581,303,462,808,000,774,311,700,091,583,008,779,577,641,789,653,
857,374,283,184,570,192,361,366,824,244,128,150,505,657,119,620,055,891,277,
520,095,885,428,840,023,798,991,899,049,835,636,575,544,279,547,352,504,517,
179,614,579,600,507,562,115,603,924,422,112,079,190,137,255,818,225,818,817,
123,602,974,032,615,386,262,709,675,494,648,326,602,737,767,735,372,442,702,
077,747,431,742,815,390,099,282,559,280,039,612,482,172,184,930,848,197,509,
555,594,383,066,227,883,335,016,075,703,248,607,731,963,653,515,902,165,690,
412,672,327,362,185,804,752,434,844,765,076,819,395,546,713,141,959,149,032,
040,712,967,120,804,739,368,603,010,597,587,396,730,669,170,177,587,234,444,
985,799,448,020,815,731,745,532,934,979,742,857,055,085,258,730,144,679,408,
065,043,354,964,768,491,536,018,603,789,484,654,679,187,365,352,102,546,661,
109,550,335,123,733,683,669,750,823,172,938,215,452,295,054,146,793,322,545,
717,252,610,266,951,680,656,179,480,596,892,858,517,389,896,822,262,992,198,
032,240,159,366,267,556,548,003,035,934,597,502,873,987,759,628,899,935,474,
757,389,525,390,566,364,575,408,312,595,882,949,366,199,382,253,271,987,465,
967,390,221,301,275,453,636,515,803,879,090,821,083,065,843,121,440,471,208,
177,860,865,494,932,413,023,330,140,933,479,003,465,843,310,205,635,346,465,
336,258,993,192,150,246,311,863,162,255,937,106,626,663,888,265,471,209,813,
047,758,698,568,058,214,473,088,920,029,019,216,136,812,477,023,225,892,229,
238,405,776,085,753,670,180,053,967,034,134,561,294,400,890,955,041,040,092,
478,814,711,630,716,853,979,948,951,206,786,229,232,988,758,580,747,403,732,
329,121,770,697,727,310,330,838,578,318,450,681,501,960,955,678,232,605,055,
377,572,875,654,257,722,290,583,566,262,447,691,658,447,619,260,722,781,871,
469,729,875,808,488,866,459,953,213,888,500,797,861,404,295,325,624,390,574,
076,521,725,641,287,537,272,458,636,426,199,286,997,015,452,384,852,464,448,
712,456,348,950,106,022,612,819,354,583,967,885,487,337,230,457,015,642,156,
300,515,126,265,887,548,616,937,743,052,207,846,478,396,805,298,750,698,917,
626,595,199,378,143,679,114,963,714,232,662,978,466,478,726,237,724,434,743,
452,005,500,975,344,950,241,200,382,090,969,247,076,988,339,450,864,919,608,
699,780,519,633,414,753,159,646,065,442,069,633,073,307,741,051,820,910,842,
811,130,664,566,210,304,586,904,802,534,778,003,239,363,564,581,675,121,090,
760,060,506,703,125,204,586,808,465,934,951,753,287,482,747,590,788,228,284,
409,842,182,140,342,576,555,611,630,879,637,397,323,850,932,611,802,357,851,
523,976,057,900,785,676,658,708,039,214,828,418,504,682,165,720,975,824,761,
735,845,979,374,780,147,013,888,863,691,649,607,237,334,370,164,378,192,396,
508,633,874,435,943,597,076,653,806,147,697,467,389,349,606,928,330,578,806,
555,238,385,357,791,697,867,043,333,397,088,853,309,844,586,820,320,274,727,
747,909,183,516,698,224,178,563,843,612,201,520,275,076,653,883,730,032,775,
496,470,107,257,976,879,808,370,340,756,423,469,171,692,555,295,673,490,479,
539,003,671,901,057,302,862,939,682,615,023,799,755,474,915,359,453,121,391,
685,088,013,294,795,060,885,417,916,734,251,567,100,876,913,313,863,237,393,
120,829,211,338,089,771,663,094,287,332,599,741,967,091,700,953,682,381,781,
385,169,343,967,944,183,844,956,351,872,249,910,768,112,084,625,376,374,730,
234,178,189,927,539,980,082,817,487,200,007,298,009,959,199,998,822,164,023,
514,254,697,419,975,047,267,755,134,575,069,335,846,285,631,063,429,268,608,
983,033,575,273,289,689,336,139,717,153,018,312,484,765,374,072,399,347,560,
514,509,939,407,659,609,411,127,833,788,673,495,877,248,972,070,114,609,751,
962,004,558,782,399,362,810,329,512,083,671,371,923,718,270,053,650,729,827,
003,965,733,784,909,776,942,181,039,697,549,384,893,944,580,451,130,896,726,
510,354,576,720,788,633,716,076,734,144,845,180,571,961,509,076,200,379,980,
489,687,066,983,494,457,881,253,710,447,473,775,697,122,219,410,134,046,418,
951,095,146,297,803,111,740,800,297,946,342,166,929,291,819,051,835,628,908,
570,214,318,779,050,219,698,096,741,646,146,763,680,277,782,554,231,692,938,
820,810,145,608,204,460,503,013,830,204,643,994,934,843,572,906,614,705,269,
074,545,708,132,269,596,578,079,643,201,998,522,160,671,828,956,687,651,273,
632,095,940,922,416,714,699,367,589,346,995,693,229,128,169,242,927,123,930,
379,635,049,909,592,390,359,459,844,302,693,260,926,599,806,112,444,956,209,
483,683,045,775,052,342,819,777,580,281,421,840,438,735,397,503,100,051,354,
982,140,304,065,130,583,586,103,989,483,252,501,310,154,764,245,013,673,946,
407,014,006,696,022,465,020,428,950,044,826,233,952,507,568,804,992,568,254,
664,583,896,598,798,142,387,693,659,863,840,951,794,540,973,107,833,294,728,
135,457,143,391,786,479,089,714,910,593,504,182,813,480,189,458,779,373,163,
618,103,736,884,032,703,084,164,132,681,331,485,618,615,619,609,994,388,041,
561,658,606,456,586,291,704,789,352,871,164,169,455,403,905,889,947,447,799,
359,647,621,755,729,827,943,442,694,210,984,241,533,963,000,171,584,892,903,
930,144,919,884,701,730,872,201,969,335,098,500,469,752,566,969,938,059,780,
126,695,307,970,651,995,996,507,849,569,280,508,146,964,802,540,129,615,738,
015,958,321,593,501,675,992,395,558,197,637,768,932,272,748,567,001,910,372,
437,693,255,563,365,986,582,622,463,881,108,156,315,452,283,758,161,865,998,
411,883,529,253,946,127,521,633,960,325,410,514,338,830,171,916,398,551,321,
079,645,426,009,522,767,444,674,106,866,559,867,588,240,636,871,339,471,308,
101,774,882,117,692,674,773,600,699,471,925,968,583,569,622,460,717,571,111,
824,176,983,269,458,640,534,000,814,723,776,824,420,957,001,057,668,602,835,
829,734,045,762,380,498,822,015,486,439,829,208,176,540,019,636,794,694,869,
420,805,082,114,471,359,233,488,705,457,450,541,979,531,028,178,771,438,569,
099,705,724,275,985,909,152,534,572,061,179,088,015,292,729,246,503,046,847,
359,830,431,084,569,139,623,412,227,008,660,898,613,993,604,981,642,832,323,
417,949,427,307,075,972,255,858,079,636,732,755,838,282,140,112,484,253,837,
195,618,064,314,661,619,252,674,944,981,427,959,436,505,381,989,598,709,714,
925,012,489,803,216,132,059,425,337,860,676,264,326,050,828,680,545,508,498,
532,025,577,149,255,353,745,237,461,251,377,977,992,682,832,286,802,394,232,
602,193,150,214,930,393,928,238,160,183,763,653,508,691,486,506,986,913,787,
574,656,270,342,576,627,432,218,643,187,863,756,481,102,457,829,037,556,869,
748,565,019,101,613,263,503,565,606,534,188,902,940,971,804,265,870,565,814,
639,904,408,051,280,102,342,736,918,123,885,846,317,203,197,676,603,393,862,
138,751,623,471,000,834,790,361,416,038,499,694,903,380,213,187,261,418,936,
482,933,545,061,462,489,857,616,283,256,790,117,407,638,322,718,592,289,861,
401,658,799,992,986,052,069,091,334,098,237,663,117,859,853,970,720,763,953,
811,569,896,401,216,828,644,681,045,734,455,183,255,565,939,890,634,561,081,
627,102,632,037,232,843,416,201,072,862,706,375,481,018,063,285,858,413,439,
435,661,483,311,720,075,610,154,057,599,427,837,246,050,847,247,114,000,507,
375,030,004,014,001,274,100,735,759,728,338,225,854,690,260,676,498,737,157,
065,367,786,582,351,802,100,474,263,919,601,740,230,828,421,137,589,555,601,
810,892,482,646,434,321,353,841,909,570,308,570,812,952,013,890,805,206,853,
356,117,016,059,327,445,779,589,003,454,128,159,378,747,718,754,364,189,129,
856,452,488,831,291,555,748,020,901,926,662,422,767,147,687,543,979,816,699,
830,979,251,616,155,235,516,899,907,107,900,197,785,028,983,071,659,397,452,
201,252,896,566,284,316,496,957,540,292,416,118,277,379,179,997,565,431,419,
461,902,356,782,864,965,713,911,275,786,740,831,276,409,216,911,827,312,174,
619,239,087,103,749,081,632,846,137,740,199,866,454,075,916,477,527,231,849,
693,110,972,576,711,267,782,330,536,968,723,349,307,259,433,572,959,814,068,
748,757,620,362,148,011,536,861,146,044,468,226,837,578,925,725,686,966,747,
418,381,955,812,588,662,147,693,839,164,112,068,413,122,120,051,996,738,012,
926,309,122,447,422,088,780,967,447,564,698,562,399,139,982,113,561,173,275,
265,354,312,024,074,948,286,365,531,559,038,505,770,269,965,533,470,755,423,
684,006,007,164,952,378,864,590,342,849,329,452,539,954,063,457,165,819,632,
475,358,737,561,197,462,047,608,313,774,384,297,629,326,913,805,416,288,703,
979,319,277,223,480,436,850,919,004,695,055,390,300,731,536,904,854,240,892,
723,780,618,856,363,213,756,015,237,833,677,716,445,917,277,100,901,848,517,
956,924,408,762,515,182,075,913,274,009,171,458,464,609,771,345,956,451,993,
222,661,124,496,873,195,987,819,231,373,969,565,203,218,507,722,470,592,196,
999,245,506,273,050,295,132,818,726,400,538,611,938,992,890,505,585,208,987,
002,741,641,176,026,682,307,320,289,559,957,689,363,093,891,511,140,193,760,
234,722,437,463,408,998,453,848,696,768,180,852,625,168,002,857,774,193,029,
271,600,707,976,660,630,251,503,760,275,771,533,964,166,623,914,007,769,451,
630,970,803,241,204,783,213,606,915,937,495,384,119,943,128,390,546,763,047,
183,841,484,457,453,601,530,826,876,992,362,862,362,348,609,806,557,613,266,
848,433,761,509,004,618,381,719,025,474,640,613,684,271,151,445,031,763,641,
680,949,690,917,075,930,511,672,086,911,640,947,211,703,731,077,300,632,209,
843,799,570,384,500,967,009,369,441,037,148,722,031,236,207,520,305,043,769,
119,950,387,204,398,111,933,857,602,292,281,973,623,358,951,937,012,784,015,
877,495,362,665,021,974,971,713,199,022,325,488,627,935,315,791,444,381,729,
893,941,022,315,608,066,295,724,886,532,993,321,833,458,158,569,976,407,110,
276,265,295,551,940,845,485,550,270,029,477,898,579,086,104,847,044,651,662,
628,948,805,372,969,764,020,840,497,093,614,965,948,430,711,419,746,005,037,
770,215,626,528,208,609,615,950,852,028,196,481,659,463,101,253,806,255,418,
735,353,448,931,155,996,202,840,851,247,924,334,584,352,467,847,552,234,709,
987,003,506,125,209,067,849,068,384,391,036,087,441,755,226,595,576,938,269,
347,052,941,955,545,558,204,859,810,031,909,139,345,077,043,840,633,348,826,
367,936,778,019,218,010,198,590,123,800,565,116,423,796,411,111,953,428,269,
603,298,509,113,366,557,247,871,042,674,575,624,061,206,095,486,762,424,424,
114,626,784,231,697,370,556,817,627,098,067,651,751,775,811,312,585,326,979,
286,960,295,535,902,458,977,660,089,190,772,480,126,104,497,709,231,257,423,
868,135,007,899,270,407,366,510,779,471,540,599,671,320,836,930,038,551,169,
390,430,150,180,323,233,844,387,779,231,999,233,253,351,035,352,378,638,675,
777,538,400,035,720,005,217,850,476,957,904,383,768,135,221,340,016,795,199,
749,419,958,185,628,322,089,775,471,068,375,925,902,238,509,105,928,811,348,
120,308,005,286,676,166,233,665,546,472,786,568,206,745,204,827,627,603,370,
157,433,607,059,300,101,179,020,342,239,293,886,194,003,151,058,392,500,437,
858,271,622,120,010,205,550,011,486,442,508,460,275,206,121,759,744,818,922,
592,494,281,391,180,191,520,058,096,416,014,341,323,709,410,564,033,863,630,
176,094,172,870,423,045,817,529,884,100,750,781,088,675,001,935,784,255,274,
992,069,443,919,805,840,009,587,727,952,494,209,693,426,225,884,585,324,216,
136,015,922,773,221,971,260,371,289,239,837,956,158,147,827,470,066,369,043,
665,677,676,138,349,574,621,456,285,681,948,192,954,797,554,702,109,966,185,
627,093,778,216,493,183,145,813,212,516,573,623,477,114,817,516,231,446,741,
043,290,173,123,199,226,018,499,501,106,122,871,263,883,343,694,937,581,166,
216,596,285,185,898,533,294,346,191,146,001,298,329,687,913,480,740,881,251,
514,109,459,796,093,458,101,653,220,212,863,674,427,401,316,388,087,177,875,
016,403,485,577,062,600,901,482,214,945,445,445,230,086,290,195,683,714,205,
705,243,239,154,016,520,611,100,288,964,183,423,245,432,189,603,397,306,132,
696,338,382,674,689,759,635,722,435,468,102,297,456,755,498,971,018,130,366,
410,974,483,655,066,530,826,494,962,794,349,656,221,935,185,981,775,662,746,
949,213,374,790,109,788,823,108,973,587,746,133,272,122,359,871,055,202,902,
608,613,428,873,112,407,033,503,921,353,154,526,737,765,702,085,117,912,344,
831,357,736,286,116,914,764,356,821,151,827,150,153,609,212,866,331,473,346,
054,554,883,301,427,071,412,394,204,489,894,557,560,782,172,034,851,978,268,
449,650,766,332,277,837,673,910,549,186,239,744,752,523,498,799,046,339,138,
186,439,822,483,128,290,359,682,708,268,840,730,748,177,769,074,337,222,474,
105,113,929,333,065,820,507,918,428,108,036,751,285,480,141,787,143,705,469,
710,730,103,288,079,650,806,512,952,201,316,306,565,676,106,489,631,777,162,
345,252,407,012,983,993,290,891,294,054,765,365,483,620,588,783,879,250,107,
125,685,025,450,890,834,834,033,094,675,421,294,326,447,162,214,077,055,144,
961,462,733,527,152,727,151,904,015,487,690,599,418,008,454,503,460,060,830,
196,328,534,885,001,070,973,446,245,667,536,255,704,183,682,075,088,675,047,
844,074,802,034,110,117,982,665,971,967,423,729,118,794,007,115,611,145,516,
535,895,688,096,490,701,776,454,733,414,643,773,847,422,209,766,456,993,706,
904,366,230,242,267,615,201,654,330,726,642,087,386,755,614,727,104,826,954,
828,217,796,893,620,351,102,698,663,219,758,252,413,597,054,804,193,539,289,
889,865,291,473,641,710,706,585,240,967,540,017,835,453,951,249,498,809,767,
171,441,064,103,860,750,096,672,423,787,727,568,434,390,163,929,130,150,116,
959,992,861,805,311,960,951,849,781,637,487,827,997,559,553,900,166,847,593,
244,171,965,410,532,458,328,552,224,753,583,420,466,349,845,178,512,135,921,
921,633,614,380,361,434,761,936,417,316,702,830,193,453,387,206,375,058,300,
979,664,107,914,432,200,634,674,647,579,852,661,782,184,608,335,937,621,267,
679,056,614,903,511,932,883,283,402,057,089,920,785,964,566,284,335,460,894,
974,039,736,086,002,291,040,946,046,168,380,764,710,528,625,487,548,083,080,
633,898,375,922,475,033,365,282,007,668,257,030,337,784,076,306,555,074,482,
258,167,292,263,577,111,529,307,032,373,632,439,098,397,272,311,007,667,504,
212,251,113,930,233,767,391,648,942,651,669,264,255,136,914,834,661,974,645,
423,525,594,074,448,776,599,687,922,286,126,056,144,455,301,920,969,387,772,
906,140,975,190,579,795,556,296,826,019,150,564,461,079,692,429,223,300,647,
777,838,353,928,378,828,852,708,452,183,583,550,525,113,807,378,056,520,408,
676,431,114,434,496,370,137,999,180,104,850,556,830,399,567,169,424,308,888,
746,501,141,215,179,462,847,995,062,826,643,000,796,034,773,112,028,242,347,
463,920,388,606,768,746,108,306,938,389,516,598,685,120,226,339,926,708,741,
392,430,277,463,034,702,592,732,417,283,103,563,083,112,578,192,241,895,139,
351,383,051,293,885,332,489,578,165,944,769,001,706,849,861,964,449,639,082,
599,494,652,477,171,265,319,606,343,402,486,047,295,512,571,579,406,918,595,
227,361,110,135,479,933,320,249,925,077,352,102,893,782,435,056,732,509,162,
585,236,792,589,288,637,347,610,758,893,890,006,179,407,940,167,253,075,147,
955,938,383,667,157,721,199,550,928,173,751,979,977,855,073,958,312,084,573,
587,560,501,574,617,167,327,243,033,858,274,196,804,655,523,059,368,946,724,
139,291,682,175,204,895,444,735,372,866,931,005,363,949,620,940,333,004,487,
175,348,851,498,952,953,775,959,999,815,321,137,806,116,335,559,946,876,009,
172,332,603,598,176,230,145,355,797,608,946,699,460,785,041,896,166,475,552,
218,556,033,644,871,130,799,418,302,448,370,072,274,797,528,307,088,778,508,
727,944,838,193,399,109,867,137,905,461,704,817,059,581,124,404,565,036,005,
766,605,051,067,575,803,699,312,267,892,490,166,261,485,898,995,681,241,452,
077,798,803,807,517,937,380,039,338,272,259,839,381,404,607,329,069,840,324,
109,065,959,747,114,197,851,037,720,122,394,048,547,951,392,168,617,749,161,
859,948,805,986,976,535,906,954,830,300,907,697,995,993,000,021,543,660,258,
228,398,716,922,006,881,804,860,598,541,352,861,845,757,877,421,731,659,234,
857,290,019,945,390,241,706,640,684,315,574,608,664,423,446,977,059,395,675,
664,433,442,699,494,948,813,294,298,468,967,747,326,888,932,551,437,920,319,
872,268,671,828,687,969,293,297,841,601,528,516,763,087,399,692,349,751,787,
167,601,999,420,162,426,070,304,670,648,401,497,822,379,604,693,055,713,587,
230,786,823,475,326,375,629,865,189,260,549,252,005,190,360,260,261,705,240,
155,168,825,169,426,614,603,609,401,564,683,212,274,741,156,118,396,140,342,
794,390,594,545,149,832,976,035,747,954,975,369,845,642,962,187,620,182,352,
606,850,790,798,369,985,517,858,800,041,178,533,692,198,307,469,719,129,494,
813,729,469,679,057,557,815,199,729,810,701,162,621,084,304,483,405,563,443,
607,906,418,368,463,073,303,802,913,459,075,741,988,145,036,137,199,577,492,
176,959,431,949,396,302,822,740,191,658,670,955,893,314,371,214,254,695,179,
879,631,119,743,793,611,576,037,971,257,577,888,766,639,056,772,912,671,115,
163,475,692,185,777,201,831,062,653,107,052,470,963,998,202,117,672,920,464,
789,781,767,025,032,960,138,346,875,100,186,632,980,255,847,536,183,145,614,
327,061,919,244,586,471,774,244,765,059,438,433,869,081,409,496,310,998,279,
646,231,265,051,243,308,600,994,758,765,119,055,610,031,940,738,572,064,515,
263,230,063,550,587,725,927,880,508,723,209,333,801,147,802,906,085,763,222,
083,863,477,559,081,671,725,283,767,851,447,213,496,038,082,590,242,636,261,
189,932,633,988,320,098,284,760,927,588,920,639,087,674,767,947,922,366,061,
447,815,581,538,991,366,066,580,546,840,314,361,153,295,077,111,854,828,606,
925,189,996,092,905,014,282,850,283,223,497,233,547,977,057,154,337,254,591,
582,387,200,605,414,278,523,608,622,822,494,885,277,943,429,962,292,866,347,
040,434,569,687,910,421,737,742,126,587,929,310,276,268,307,979,860,712,408,
050,896,198,826,446,532,129,153,941,209,059,770,036,099,894,967,798,337,541,
343,773,515,390,362,425,569,617,976,837,576,601,888,622,371,074,080,541,459,
072,606,802,381,763,904,377,351,363,214,826,721,752,478,275,642,157,279,971,
299,596,700,902,647,253,028,081,297,440,489,132,110,410,284,171,320,561,897,
626,164,276,250,834,651,623,589,627,625,948,208,391,509,406,144,868,276,076,
826,983,378,046,457,522,791,879,984,040,773,302,657,752,386,018,047,332,834,
177,452,303,463,170,574,127,166,818,595,894,311,609,626,840,808,704,983,868,
922,636,524,866,026,522,839,500,146,874,847,430,268,176,797,990,451,240,597,
123,606,604,327,931,196,928,671,849,937,996,540,794,601,082,315,917,026,972,
946,406,998,267,591,467,557,232,453,669,112,211,406,166,583,893,743,977,764,
697,115,509,425,561,688,769,019,748,316,545,055,527,676,070,603,694,002,601,
109,827,502,196,313,934,920,656,269,430,200,547,232,440,985,951,780,465,858,
504,475,285,137,535,170,905,129,793,028,635,220,313,557,924,447,581,811,482,
045,707,435,153,436,911,477,703,602,165,821,070,435,017,083,481,229,562,579,
651,647,652,648,245,264,482,000,209,759,798,152,983,812,685,687,438,671,334,
968,576,002,469,272,595,543,007,911,732,279,001,159,428,127,970,204,324,056,
245,624,284,989,991,708,412,163,705,492,174,837,601,212,311,487,399,949,408,
724,509,379,816,398,936,503,052,851,467,449,212,508,831,334,832,281,105,694,
868,671,919,233,565,121,427,989,105,523,754,623,679,041,504,777,934,936,303,
166,518,120,740,148,135,659,519,325,064,631,763,337,914,120,356,839,738,758,
061,509,385,564,561,900,551,513,372,732,600,141,532,186,610,704,535,328,458,
543,525,849,533,936,074,713,491,095,675,981,092,590,663,871,431,270,477,236,
159,791,869,190,903,688,128,011,139,927,365,054,899,646,001,981,310,363,704,
469,848,704,588,662,001,199,143,029,982,667,953,956,842,324,328,923,013,658,
714,383,782,268,047,744,283,429,951,891,133,533,155,209,445,240,765,865,881,
342,927,854,049,178,168,924,226,146,958,138,718,606,591,590,373,805,762,874,
293,713,767,479,690,633,285,872,375,350,637,629,996,879,896,150,058,359,811,
735,454,379,054,779,704,021,727,722,195,006,752,893,191,679,076,832,964,335,
575,437,815,650,945,835,201,881,107,001,934,032,448,409,863,823,256,909,633,
598,235,156,450,613,471,937,599,322,598,079,549,605,307,006,386,206,062,729,
012,221,798,442,323,516,145,646,605,356,268,263,411,846,807,397,189,558,815,
009,755,093,394,862,655,365,431,739,752,109,559,719,163,438,811,820,200,611,
326,940,859,535,873,455,481,846,578,999,448,077,895,343,068,253,988,660,216,
726,524,230,284,898,865,094,149,386,198,520,103,222,584,818,561,432,763,041,
451,038,870,949,229,951,978,600,191,841,201,013,196,659,911,938,673,399,807,
344,379,495,579,301,084,284,327,768,818,576,053,810,671,903,164,641,606,661,
531,289,870,660,122,988,186,578,841,773,105,071,600,369,297,253,644,201,607,
037,237,603,541,824,441,533,743,903,849,705,381,228,863,087,907,580,343,712,
198,916,296,177,794,926,518,506,336,432,246,614,055,911,219,918,465,951,234,
459,606,221,880,606,661,014,020,889,347,110,736,884,512,835,071,876,292,397,
183,920,164,455,191,793,630,286,481,969,260,996,444,781,595,544,495,725,157,
879,154,185,441,125,313,945,563,448,454,712,325,726,748,065,435,705,708,127,
802,549,672,161,561,062,195,378,532,468,300,954,201,494,958,121,296,840,890,
592,301,760,797,659,453,210,467,835,116,264,158,906,700,867,514,722,029,378,
844,539,083,721,733,218,415,645,218,821,690,216,717,293,736,650,303,328,902,
193,992,746,509,661,051,810,817,481,881,264,901,672,193,977,103,696,587,697,
979,570,695,801,907,229,311,003,949,087,446,828,708,030,459,124,011,618,166,
050,978,938,045,119,719,831,027,960,770,413,652,110,513,170,990,340,783,957,
798,014,111,487,168,582,517,324,250,661,793,876,628,776,011,478,339,378,830,
799,278,583,921,775,811,753,617,339,354,441,925,430,426,852,901,645,598,433,
607,811,955,139,083,432,435,609,330,779,994,338,752,470,543,643,598,423,255,
582,359,249,958,862,270,653,924,631,827,936,338,239,218,943,991,844,227,176,
611,588,821,753,019,236,156,031,921,830,760,791,747,998,330,698,662,314,438,
384,543,629,507,870,197,271,335,196,686,658,239,409,887,945,850,986,386,330,
263,957,690,991,757,058,943,109,420,943,179,502,855,912,037,087,566,047,057,
845,323,210,681,326,175,260,950,567,641,492,954,059,983,833,398,500,608,232,
822,782,786,369,941,443,618,122,432,769,709,794,019,689,466,580,052,229,152,
228,645,810,375,291,887,818,535,311,264,138,145,086,756,000,932,616,878,931,
281,514,081,223,960,374,922,043,925,096,212,034,231,390,016,373,604,502,763,
498,022,121,787,621,125,312,394,747,091,252,904,844,888,260,494,818,987,757,
205,173,984,117,313,066,952,566,591,551,271,998,895,430,794,472,473,478,381,
431,494,706,344,262,167,206,936,714,809,651,930,924,987,842,650,671,333,445,
766,023,111,281,542,731,259,833,179,063,827,454,643,724,433,579,636,158,877,
299,890,702,044,045,469,316,168,963,758,062,904,548,218,471,920,997,214,878,
647,782,612,306,579,472,336,907,471,691,653,581,779,569,840,482,256,107,766,
160,628,087,473,306,662,850,357,718,819,870,380,689,785,502,763,736,314,875,
324,006,645,263,957,117,012,928,632,439,824,429,017,871,929,809,027,419,543,
486,587,544,775,842,829,876,998,643,330,752,460,058,365,202,687,409,754,766,
812,547,899,945,022,988,299,671,825,128,477,243,047,648,659,584,959,083,363,
897,478,704,390,471,135,095,838,877,410,215,051,077,013,710,827,419,387,779,
759,578,789,422,003,672,082,783,183,383,759,376,478,833,526,565,995,218,164,
274,486,016,530,828,509,656,006,109,710,656,688,161,205,762,502,418,684,001,
449,815,816,013,804,284,421,326,838,826,401,788,588,319,795,842,039,073,743,
880,783,686,019,673,877,383,667,529,627,247,759,263,389,211,451,688,315,871,
467,255,074,541,100,717,279,475,956,971,366,575,923,233,737,112,713,347,803,
203,213,383,724,732,638,245,784,531,934,503,366,850,085,296,679,530,421,863,
415,976,417,057,419,420,774,123,589,197,434,606,518,131,734,597,607,729,891,
475,428,478,985,461,583,956,526,318,771,252,617,054,023,671,784,322,207,976,
466,261,982,859,392,176,232,990,306,803,169,372,289,809,082,706,901,868,872,
409,774,718,381,885,226,334,673,027,309,458,347,815,575,163,781,377,114,020,
741,946,834,127,392,558,365,897,268,317,140,717,623,376,122,455,361,491,609,
168,339,414,875,137,492,661,230,522,103,326,696,377,406,597,735,927,398,470,
232,642,104,829,135,361,015,372,782,074,472,987,896,894,965,457,560,150,029,
596,324,482,208,150,742,223,606,362,212,643,351,454,237,070,657,897,466,494,
311,256,996,362,565,664,872,095,992,592,059,450,071,290,822,233,278,606,614,
584,249,572,998,334,325,655,198,507,744,062,214,567,183,818,948,102,005,791,
519,778,206,806,046,431,351,442,268,857,575,905,871,602,351,486,246,316,768,
705,828,083,736,391,426,362,264,423,999,476,778,465,374,532,580,716,872,691,
827,244,298,284,464,210,569,731,463,799,897,499,056,142,216,285,798,730,454,
596,770,196,698,785,967,475,673,989,652,731,790,895,956,466,834,768,966,748,
119,710,957,716,260,731,512,135,670,995,729,637,547,122,994,056,983,947,329,
023,141,450,369,219,630,312,316,222,494,714,577,719,530,806,576,978,281,060,
118,746,405,567,459,372,701,034,849,394,644,820,039,109,778,767,619,923,243,
412,922,791,444,332,047,378,790,857,282,132,018,159,184,502,161,494,106,534,
686,583,086,656,137,388,310,665,650,805,898,582,264,137,297,246,768,745,114,
095,345,951,657,172,915,774,847,184,182,122,994,248,586,629,437,842,377,917,
290,899,582,533,404,020,689,606,948,070,338,376,237,086,763,375,977,847,131,
513,710,551,062,563,818,813,640,869,444,943,850,176,940,002,935,374,396,174,
434,040,474,500,949,177,101,031,443,617,446,567,367,665,956,895,295,157,765,
399,193,193,849,063,672,998,220,375,151,406,449,615,123,885,499,357,163,715,
015,103,154,212,688,839,767,379,616,859,758,752,425,070,467,990,794,812,557,
793,856,077,922,366,153,718,272,060,011,527,135,166,553,445,379,043,733,170,
838,170,023,844,163,011,593,602,917,869,764,711,621,615,034,792,427,368,463,
944,739,075,344,482,174,709,428,049,747,912,473,610,680,330,644,491,079,440,
983,039,650,952,828,447,091,323,475,772,091,106,225,825,578,205,414,486,690,
506,232,872,302,405,779,289,440,151,328,281,046,233,058,039,431,545,207,229,
836,023,930,675,519,325,117,624,806,080,042,238,241,035,142,445,130,401,798,
543,515,337,332,895,221,328,234,299,339,517,336,092,527,851,595,157,718,515,
644,375,713,802,011,378,025,789,376,657,958,451,792,817,369,025,362,154,876,
458,008,393,646,898,439,640,845,636,629,267,069,485,935,377,778,536,953,022,
754,332,046,211,685,887,235,069,246,567,556,824,073,389,706,045,525,808,305,
483,325,411,064,846,802,790,725,258,027,825,452,381,814,152,347,198,456,072,
890,374,786,641,075,345,518,475,008,228,724,336,469,271,701,912,515,056,377,
854,365,399,793,419,854,843,952,201,253,960,020,380,020,736,387,759,798,897,
316,454,005,978,553,401,603,928,658,190,278,910,604,329,367,529,962,284,147,
452,011,359,221,935,197,199,009,557,717,805,141,936,117,206,561,948,202,153,
196,986,362,741,209,303,993,242,263,401,844,094,724,558,662,107,441,507,797,
846,387,868,177,819,570,989,529,691,732,801,302,919,299,841,825,890,474,898,
819,133,683,633,473,411,432,755,238,450,591,918,886,856,738,975,662,193,856,
054,764,228,023,419,868,429,035,301,681,054,011,645,726,505,500,369,914,446,
508,328,079,665,265,142,948,083,990,006,243,548,239,366,048,028,024,233,484,
432,408,468,956,645,932,120,898,937,514,218,105,571,119,722,486,036,768,092,
916,573,779,462,710,347,281,631,970,198,409,555,386,015,885,156,780,001,387,
318,348,885,773,212,123,103,500,033,320,255,724,757,863,080,872,038,609,791,
288,158,837,476,259,683,797,656,329,478,449,812,729,114,825,608,309,114,305,
722,001,298,253,190,870,804,087,497,469,568,794,297,777,300,486,719,871,176,
791,144,895,486,085,666,381,116,649,564,508,872,919,110,858,645,087,690,554,
371,040,032,932,656,305,188,492,710,786,405,604,051,667,943,214,082,582,477,
446,627,124,960,870,222,134,170,035,872,211,723,042,489,363,608,017,152,672,
418,017,295,085,208,397,320,273,062,514,669,394,452,017,083,714,411,921,794,
299,330,506,599,364,129,282,466,986,654,953,963,119,760,527,186,723,523,390,
332,095,801,241,218,185,195,787,198,968,062,900,345,738,866,132,062,890,098,
141,273,943,131,561,252,401,442,430,367,565,324,054,669,951,611,072,066,610,
500,503,659,596,339,729,912,912,033,534,547,832,105,022,841,938,620,132,288,
875,677,520,962,423,289,250,312,476,692,409,648,395,628,934,227,889,924,182,
921,164,951,154,729,112,866,120,433,528,570,558,958,610,716,491,098,366,145,
493,627,392,746,390,100,245,531,869,446,696,174,423,050,919,726,436,313,902,
677,271,862,686,861,392,203,677,738,657,573,246,911,307,613,229,072,444,039,
792,762,935,005,579,734,376,872,571,992,075,271,936,460,837,839,063,849,702,
778,713,164,635,259,302,080,000,453,606,326,717,451,508,535,417,858,762,547,
433,780,619,488,961,377,738,590,683,755,066,069,893,634,235,344,355,414,331,
306,329,728,902,785,894,279,667,226,505,025,983,157,323,376,969,462,510,587,
387,887,215,911,070,292,731,552,601,315,987,426,344,019,586,756,595,299,074,
863,984,878,696,441,202,747,116,311,328,758,133,914,588,152,652,066,525,677,
566,946,999,336,688,655,357,113,280,227,774,158,347,043,473,647,129,833,798,
524,479,636,121,304,387,821,426,381,639,683,207,582,709,065,597,347,195,074,
559,205,045,207,825,393,222,991,055,978,685,787,309,131,092,706,681,838,807,
326,888,362,019,444,560,514,340,534,965,841,506,852,727,583,034,460,866,993,
484,787,110,362,869,069,913,713,908,415,623,595,866,797,594,280,204,680,302,
464,740,529,174,671,486,841,363,668,363,755,765,930,578,066,781,866,777,081,
434,766,007,185,224,699,742,198,137,593,478,333,068,838,817,785,668,851,866,
828,955,318,297,917,311,737,200,980,778,760,162,796,513,172,853,047,232,056,
979,446,281,949,767,861,258,233,949,391,058,110,932,768,733,461,398,312,034,
661,565,290,658,735,045,352,497,391,072,136,311,612,561,067,051,085,609,491,
998,926,351,176,639,432,111,040,241,018,502,699,407,823,208,297,611,014,582,
966,711,467,845,653,331,808,790,897,834,851,360,020,717,392,144,771,331,880,
903,386,870,527,852,604,742,374,193,185,663,331,089,143,440,444,950,262,479,
181,976,607,080,539,103,025,091,398,505,684,242,656,508,021,039,473,814,437,
511,930,459,150,064,087,602,778,049,599,935,379,440,078,068,163,046,048,329,
403,912,051,262,168,661,388,301,653,498,754,626,999,092,328,146,952,268,286,
854,955,787,820,710,713,050,380,278,501,922,083,432,143,232,826,147,708,398,
719,645,102,719,602,957,174,347,229,891,663,883,750,230,452,221,014,463,635,
440,154,722,976,584,030,812,687,480,493,556,895,952,815,358,962,051,740,993,
923,181,218,869,562,506,401,721,018,979,019,956,302,112,191,434,789,265,720,
703,360,742,952,329,000,000,748,120,106,944,616,773,457,489,248,603,991,417,
042,998,681,707,736,288,553,497,254,918,641,173,641,150,964,989,393,236,332,
628,941,702,043,509,027,699,026,262,105,289,614,083,930,475,822,081,041,619,
476,850,292,989,958,624,273,749,872,741,049,324,006,498,631,992,001,858,905,
339,082,024,749,288,100,300,341,179,969,301,571,044,493,208,103,464,245,769,
926,099,872,585,399,608,762,097,081,703,600,883,931,459,534,968,138,863,200,
510,946,806,709,508,230,897,550,960,843,688,832,794,530,785,122,149,196,123,
162,129,067,548,163,015,200,123,577,082,717,068,533,008,712,478,329,892,257,
371,030,972,231,117,434,391,922,623,668,740,969,906,814,935,866,547,895,085,
891,405,805,588,308,580,573,057,000,559,377,235,109,576,268,612,855,165,102,
386,827,479,102,524,023,267,664,435,565,717,443,993,031,533,411,926,323,110,
411,880,964,050,461,524,965,475,552,974,714,354,439,082,647,420,712,612,226,
683,778,360,202,381,146,650,295,881,412,551,753,150,679,691,530,028,947,642,
019,902,563,210,651,115,410,186,409,392,468,258,733,761,275,903,327,884,083,
473,699,473,425,567,092,552,780,979,265,084,160,812,353,811,341,959,076,856,
968,897,922,969,246,164,837,735,792,119,938,442,737,402,036,702,684,222,918,
307,132,765,588,320,044,906,442,311,144,004,061,038,495,414,506,694,771,047,
772,152,001,455,467,462,547,131,800,891,516,644,172,230,114,694,766,169,853,
777,350,121,169,099,199,719,288,320,272,869,052,369,227,446,645,270,645,960,
307,722,800,040,952,674,597,097,871,546,191,715,074,852,681,175,570,493,132,
364,090,724,191,671,670,077,660,208,450,057,554,310,525,716,003,198,253,150,
752,466,945,351,126,259,009,476,694,656,410,783,592,348,748,889,245,834,383,
072,468,275,549,837,301,443,872,310,135,038,091,636,172,488,249,849,814,933,
167,690,660,722,452,554,214,410,679,640,597,418,081,345,006,529,823,137,927,
412,483,625,572,972,826,600,193,988,453,235,404,876,919,098,798,381,068,924,
250,970,561,130,381,174,470,657,870,711,267,640,687,000,490,856,040,449,744,
699,461,888,068,453,502,660,088,276,448,518,126,059,217,844,197,599,613,027,
541,837,385,563,780,778,169,326,014,423,976,770,087,600,213,247,629,808,219,
535,479,535,527,131,020,306,966,559,428,675,064,959,353,928,722,060,597,943,
333,013,153,620,967,273,868,049,543,792,033,066,833,444,386,893,684,840,057,
805,071,674,691,399,978,279,341,615,498,908,216,214,948,980,860,917,628,204,
477,097,850,495,936,910,545,175,312,037,782,754,781,968,827,578,012,792,818,
536,142,963,921,079,266,881,878,999,308,671,174,460,729,138,151,992,266,013,
301,098,734,960,798,626,202,721,782,160,153,530,329,958,471,224,519,644,860,
412,506,017,130,967,850,924,915,028,070,571,635,011,128,652,511,806,606,638,
665,505,732,568,217,049,715,161,826,083,134,236,391,493,200,245,708,953,190,
300,611,685,999,534,559,169,049,240,553,781,351,142,630,315,067,902,121,804,
305,910,906,019,019,775,419,125,698,838,200,943,338,667,721,795,016,964,882,
260,636,144,114,042,560,215,857,659,911,440,349,732,683,812,194,131,307,506,
970,967,404,222,846,340,698,159,948,287,866,409,809,213,690,680,692,303,449,
029,704,969,954,583,157,631,539,085,019,820,364,695,190,094,610,515,782,314,
755,308,613,939,643,841,536,375,042,982,776,390,138,725,610,109,431,395,492,
185,502,542,579,911,709,135,797,630,775,902,403,038,203,902,533,197,406,231,
836,591,629,903,437,819,005,049,139,292,314,162,273,939,683,219,045,584,140,
230,637,218,272,655,889,090,310,933,014,364,475,093,770,513,864,098,119,631,
066,649,049,520,940,233,701,153,896,353,443,702,934,573,538,550,360,952,128,
228,707,781,379,274,125,391,407,392,234,279,468,463,314,724,944,219,629,202,
268,070,030,479,713,290,394,019,991,727,269,504,216,835,191,153,657,855,115,
875,822,052,792,748,184,138,890,900,715,853,090,280,274,934,802,993,052,640,
915,090,661,727,821,760,791,266,669,807,420,775,462,047,258,779,282,033,558,
161,664,408,135,870,194,421,953,042,361,514,405,709,784,178,190,120,343,858,
599,004,583,174,441,707,434,558,973,640,558,838,111,153,546,180,499,576,644,
256,110,284,849,790,686,315,328,523,663,873,164,135,162,274,521,018,903,408,
279,897,997,988,964,941,396,668,751,843,928,329,940,391,424,373,951,146,180,
396,971,797,139,923,428,695,569,593,736,452,039,876,269,830,745,171,132,037,
703,554,367,557,462,208,839,133,959,907,826,241,957,181,721,425,651,117,081,
343,797,226,185,872,923,656,677,161,180,313,068,034,041,085,338,818,097,055,
643,742,766,543,832,150,615,954,418,562,254,443,815,989,667,755,756,670,039,
819,725,958,087,299,336,787,914,067,301,987,497,458,758,937,888,998,947,013,
733,006,529,024,396,888,997,224,191,416,758,345,874,747,161,839,689,370,321,
698,775,387,125,314,067,178,468,064,694,719,030,882,063,407,468,879,143,476,
916,199,865,884,049,770,095,459,837,848,813,633,667,116,338,139,230,130,281,
964,825,345,780,604,718,787,731,780,413,972,053,769,028,060,363,663,413,942,
864,237,896,111,568,335,887,930,892,638,533,324,403,311,699,220,520,432,688,
684,197,871,317,994,764,010,915,929,613,550,279,763,392,296,972,709,145,832,
677,056,720,311,524,066,916,860,512,130,420,381,559,271,772,737,680,818,979,
761,836,489,067,047,499,798,714,492,696,810,346,144,987,412,928,269,596,270,
739,763,471,171,826,339,085,844,573,094,917,994,968,451,565,750,428,691,215,
564,312,254,733,307,643,466,314,228,493,974,386,928,123,640,741,228,157,324,
242,496,886,136,412,670,462,928,070,078,953,789,842,167,147,317,167,516,950,
729,275,236,804,288,907,074,309,964,246,750,000,574,949,031,156,955,577,864,
052,172,129,294,454,486,724,620,377,605,525,614,921,310,927,378,445,376,921,
552,355,499,815,201,997,710,346,691,803,310,963,968,248,593,900,850,353,080,
764,628,668,284,621,951,853,577,680,659,110,234,259,657,374,858,316,953,401,
023,852,236,181,282,708,659,254,456,045,896,777,208,010,224,446,565,251,651,
906,294,608,398,013,751,366,646,307,588,574,026,130,420,407,334,996,765,093,
859,781,034,934,837,058,115,747,050,884,066,799,798,430,787,019,502,691,870,
534,460,788,624,048,692,783,316,876,038,997,669,298,110,586,654,231,317,162,
627,758,944,063,723,009,977,680,102,407,912,351,018,895,902,390,080,806,949,
124,506,175,415,867,607,366,212,332,805,725,949,605,736,832,608,623,636,040,
804,894,118,729,703,432,572,987,695,224,008,538,058,689,749,872,605,165,859,
605,641,092,664,201,033,776,801,249,759,612,095,700,655,845,783,853,709,107,
026,097,768,314,751,468,425,494,742,889,928,530,256,792,710,110,167,868,095,
991,919,492,789,406,400,693,887,091,039,335,908,637,774,043,452,643,627,339,
772,960,361,706,221,268,049,034,577,009,093,576,285,452,820,761,175,097,363,
707,335,402,070,271,793,549,165,488,811,012,173,540,044,295,779,683,881,579,
472,154,875,887,163,542,011,813,972,623,727,150,271,060,365,136,600,597,219,
696,128,803,572,650,331,703,920,511,090,190,298,136,284,714,022,692,848,355,
823,890,988,310,290,920,734,242,071,634,878,120,876,824,207,752,897,766,740,
135,924,723,293,534,731,915,352,437,012,686,055,425,302,622,952,655,442,208,
562,252,456,559,103,543,875,304,670,716,242,540,971,223,656,249,829,303,213,
116,854,876,663,192,373,486,373,238,657,334,625,646,105,470,154,017,031,050,
306,184,998,479,288,112,919,520,886,595,650,583,791,385,326,033,791,086,624,
932,873,365,758,060,509,401,048,569,508,827,111,898,866,311,645,308,372,352,
829,768,839,241,073,071,309,990,434,986,927,691,979,995,990,548,541,156,340,
566,738,424,336,218,835,827,275,778,238,410,459,407,400,489,042,991,720,377,
043,862,239,343,549,858,600,450,356,540,528,264,070,955,292,469,605,593,566,
939,201,992,398,138,409,624,370,263,812,293,685,563,315,611,627,290,828,664,
789,677,794,998,732,801,722,280,799,310,354,657,229,149,059,377,234,104,394,
120,542,879,473,333,112,275,740,894,393,451,339,960,878,576,082,854,155,849,
804,533,910,718,619,256,111,606,615,275,916,980,561,091,066,049,369,852,065,
010,374,224,323,859,892,292,098,793,742,520,387,186,239,210,884,559,994,538,
312,332,618,721,884,439,613,931,235,574,295,714,674,439,464,077,189,600,066,
374,958,674,885,044,594,164,611,159,704,056,459,572,070,566,272,212,351,797,
364,208,145,252,360,784,151,171,398,526,759,350,164,013,530,748,315,805,082,
364,772,899,861,257,914,313,083,481,002,452,917,792,264,294,208,136,822,680,
565,547,562,442,876,352,098,542,265,062,587,794,123,329,651,127,087,485,498,
307,124,467,756,418,110,060,817,275,492,617,669,347,858,561,820,408,519,142,
531,775,817,569,576,094,337,215,236,578,723,629,841,137,740,602,540,655,491,
762,806,433,486,860,629,392,610,745,128,434,781,464,612,644,844,298,416,560,
249,709,908,039,499,254,002,355,070,196,404,083,912,215,845,506,553,032,040,
115,879,888,525,457,137,630,705,755,955,980,556,195,354,316,368,678,041,622,
821,598,646,699,618,013,670,776,893,694,827,231,028,114,464,766,131,264,328,
938,730,378,405,577,267,168,194,443,465,130,896,803,921,086,649,291,042,552,
593,753,548,487,882,895,749,518,486,483,432,174,348,688,272,452,248,352,342,
261,587,114,973,103,928,406,432,373,785,130,001,007,399,044,593,509,790,036,
137,067,266,898,409,951,994,065,364,476,411,930,484,679,424,774,263,717,663,
089,190,099,428,464,048,318,568,349,773,781,035,097,572,988,824,943,208,119,
489,003,436,798,563,863,435,448,325,399,920,915,703,355,967,029,450,136,783,
308,840,190,974,132,073,656,345,838,544,064,988,398,275,544,505,379,871,584,
672,623,163,704,512,383,746,275,488,419,124,389,004,962,476,623,455,308,855,
051,372,493,793,555,095,525,496,271,183,860,028,097,377,763,272,944,522,776,
515,264,291,651,243,429,295,827,279,910,405,897,869,563,773,387,631,608,429,
012,249,956,058,731,378,570,066,841,354,737,762,437,462,367,729,163,044,341,
466,762,265,984,997,461,313,962,334,090,863,329,928,720,485,669,284,114,624,
286,215,954,160,381,552,820,561,751,232,976,016,147,093,942,922,337,356,160,
271,292,052,857,043,402,243,519,218,887,153,878,419,478,117,847,998,073,466,
063,278,360,896,320,589,701,323,976,972,307,349,482,775,600,810,025,613,359,
645,546,135,942,153,998,700,257,348,288,349,848,500,324,458,155,990,249,310,
701,863,992,341,301,313,195,383,610,266,234,282,676,233,276,595,215,778,575,
424,483,928,651,389,796,536,688,376,378,033,829,779,553,083,038,109,413,932,
998,056,774,455,771,844,610,963,915,855,935,925,022,436,879,249,912,720,902,
511,339,662,616,834,455,726,380,351,477,124,784,715,034,981,582,381,454,522,
959,909,891,556,824,280,907,965,429,462,876,812,646,822,319,083,590,726,256,
878,247,368,969,273,229,821,514,211,144,418,513,666,319,166,244,653,484,861,
594,995,892,533,086,988,602,697,357,630,699,723,427,571,805,862,528,489,763,
185,744,088,812,563,219,202,484,830,992,602,882,541,567,968,073,230,561,871,
117,961,384,745,143,190,919,408,034,228,717,845,566,844,398,435,321,369,091,
063,391,449,827,305,677,676,129,928,144,575,410,742,677,692,117,759,544,545,
127,809,803,055,248,099,012,772,851,163,011,902,164,965,483,070,589,457,293,
518,022,436,039,634,679,050,815,352,699,728,156,399,519,476,780,435,578,762,
655,408,142,742,608,531,614,601,976,395,354,127,409,101,179,884,115,302,377,
111,967,999,854,462,139,646,489,281,677,608,951,203,162,368,337,514,988,648,
471,835,499,952,727,851,530,979,594,399,573,156,980,192,643,174,819,248,855,
627,610,018,185,240,308,415,069,192,013,764,048,270,896,574,629,377,325,548,
335,708,261,030,984,896,797,599,344,477,179,664,096,152,288,353,093,994,549,
341,474,823,759,640,889,781,439,433,230,661,748,628,911,741,941,382,331,769,
411,767,469,103,661,882,688,430,545,576,786,505,346,371,578,967,527,077,019,
625,317,866,842,898,183,630,218,816,932,931,637,281,175,948,663,717,156,415,
273,524,044,200,749,671,090,694,389,292,746,544,290,560,479,302,640,801,893,
044,933,786,342,823,609,074,759,593,344,897,748,548,811,594,711,997,706,164,
766,787,262,318,670,981,959,152,754,447,469,144,681,628,035,959,310,393,249,
962,502,040,427,647,134,081,709,004,901,360,181,175,539,085,048,547,508,255,
238,225,954,797,413,493,844,874,790,023,119,656,485,574,995,195,477,935,294,
283,105,789,961,850,164,937,470,124,124,201,358,518,656,815,576,678,844,528,
955,687,905,640,042,150,412,431,345,766,451,637,951,314,533,517,165,812,858,
613,957,818,592,259,107,673,873,591,151,979,713,155,936,265,302,574,369,956,
455,883,550,734,521,528,230,615,419,255,598,374,671,483,123,324,339,072,596,
487,508,529,806,868,616,912,302,966,502,050,509,978,672,713,536,574,748,522,
842,147,320,703,219,875,037,206,746,551,797,634,726,799,087,086,353,651,286,
981,384,566,390,108,766,991,617,209,312,385,721,924,211,210,232,442,370,507,
081,971,322,272,736,101,931,641,991,141,624,687,031,472,900,379,322,032,153,
743,080,065,279,963,904,188,113,098,093,989,662,395,358,260,888,899,297,657,
910,140,738,425,127,539,276,010,699,440,935,282,559,255,696,466,955,413,136,
272,935,024,702,160,083,788,710,469,216,913,434,227,568,210,610,436,817,795,
770,690,695,683,251,805,673,748,288,105,730,667,569,586,799,298,958,024,710,
216,174,207,541,515,079,040,908,178,455,635,231,748,080,174,941,134,342,242,
773,212,108,598,307,530,373,699,739,192,581,009,937,527,088,808,777,263,338,
071,629,407,961,424,695,549,139,031,259,298,209,659,557,784,026,247,137,541,
823,677,668,826,005,970,011,704,454,337,874,163,980,553,887,022,346,350,627,
005,504,821,771,785,682,095,492,434,942,271,886,030,760,200,678,786,511,981,
805,731,589,599,517,360,903,002,897,829,967,287,532,701,942,333,163,263,327,
516,040,414,701,348,160,138,728,106,440,505,017,211,388,953,392,979,511,292,
301,133,054,888,307,803,096,371,199,161,802,943,784,708,700,826,478,804,215,
932,544,768,480,501,259,289,700,751,822,491,881,035,800,392,559,891,668,332,
868,028,385,162,947,937,182,180,238,079,291,068,903,501,265,117,989,741,795,
114,118,418,918,166,700,806,422,429,949,080,934,946,325,725,869,693,970,864,
224,219,259,915,746,510,605,678,096,281,058,784,055,410,313,488,554,361,008,
176,416,377,579,060,269,367,675,045,076,750,168,936,223,778,273,042,719,880,
254,309,903,393,368,695,894,510,784,473,922,389,313,855,703,026,478,002,048,
492,275,407,911,578,899,805,001,389,366,247,235,964,990,412,787,884,307,013,
543,080,670,762,836,032,144,975,212,883,032,595,329,161,888,157,034,960,017,
691,848,141,699,605,878,021,831,503,040,390,999,409,046,328,638,098,036,118,
892,910,303,022,162,843,115,754,471,168,810,150,956,903,119,813,271,090,137,
072,711,870,773,250,577,664,146,717,362,813,188,422,615,155,659,036,210,672,
150,306,693,861,702,713,754,655,221,062,429,508,079,875,214,491,369,858,345,
016,300,425,225,047,015,505,163,435,720,249,228,710,175,843,878,554,176,842,
196,816,736,495,982,489,716,342,953,131,208,869,785,611,521,109,245,647,445,
772,149,763,522,689,252,809,453,899,041,897,433,394,744,892,471,081,827,798,
921,609,303,964,193,028,408,470,908,739,383,635,568,354,383,104,619,425,216,
686,572,053,300,102,155,732,003,465,056,609,676,315,055,692,615,291,044,208,
787,617,638,175,408,838,030,120,341,613,503,495,883,754,690,270,467,209,548,
330,774,968,206,024,774,584,438,365,281,473,638,336,727,477,792,026,596,920,
622,862,800,249,904,140,673,584,003,395,711,358,078,051,585,755,829,002,412,
004,032,056,264,945,107,887,262,103,227,393,474,546,241,716,346,958,965,241,
422,579,109,041,146,034,969,088,481,167,300,975,682,406,108,153,435,610,663,
386,724,719,491,583,818,606,537,078,582,920,630,678,035,350,979,938,637,681,
669,376,083,771,758,486,800,743,266,604,009,809,099,810,621,741,938,286,128,
295,273,720,449,337,229,968,905,480,863,226,115,742,255,758,132,665,069,925,
729,626,878,006,166,849,853,473,608,201,393,081,729,378,020,214,501,793,240,
624,866,985,769,406,142,648,367,529,786,014,666,261,773,520,246,218,029,374,
330,873,156,007,097,408,869,785,483,823,292,124,636,724,880,909,116,396,402,
771,997,262,900,092,453,617,434,197,939,940,064,918,264,608,528,793,263,822,
694,366,858,209,685,006,380,767,045,384,693,640,485,425,897,537,817,487,750,
105,853,856,105,842,204,963,609,099,610,939,520,766,089,106,703,633,313,535,
050,893,382,500,700,933,546,067,054,600,158,591,559,368,074,348,311,235,494,
666,874,624,636,403,282,659,222,868,903,833,560,481,268,443,341,779,569,161,
266,591,629,036,516,726,650,564,047,015,458,216,047,028,061,065,371,975,153,
165,453,053,648,818,315,137,631,216,449,317,247,949,905,330,202,913,990,163,
199,492,259,277,764,238,948,256,325,634,203,713,326,171,721,161,804,221,113,
835,781,723,896,272,100,643,950,113,035,204,218,727,351,877,827,207,627,804,
398,578,012,013,769,840,631,890,437,442,863,968,717,668,822,918,846,495,960,
028,750,105,069,119,021,410,711,243,426,536,532,033,078,463,744,884,392,310,
249,868,468,181,282,565,721,505,023,514,756,652,972,913,419,084,944,572,702,
126,422,413,319,112,357,958,889,305,365,235,757,398,036,301,357,693,823,762,
316,309,080,927,924,439,788,979,263,213,453,197,726,483,072,833,332,746,037,
053,681,544,349,041,015,514,729,575,735,017,377,317,180,545,338,192,170,686,
788,684,440,203,415,458,318,439,996,119,874,757,742,458,927,858,483,043,980,
681,032,775,491,632,504,885,501,428,606,061,675,170,544,273,627,331,127,797,
352,685,150,957,869,819,600,696,180,977,331,326,002,993,913,370,176,348,961,
146,301,325,601,591,840,529,639,106,069,073,997,222,515,041,758,484,780,994,
672,563,096,981,663,222,372,763,290,099,325,848,422,810,666,746,941,807,729,
766,952,675,566,884,021,752,710,298,414,787,928,606,220,623,148,166,198,581,
928,592,005,074,223,812,472,460,533,876,690,669,915,677,989,033,475,527,847,
638,936,396,381,256,322,170,119,259,465,554,959,604,474,019,477,305,115,220,
729,408,738,027,334,881,705,588,465,473,034,384,962,991,015,174,913,280,881,
958,306,384,634,702,439,220,396,464,285,057,170,741,017,081,549,075,959,529,
105,620,483,950,360,001,835,813,225,130,777,712,026,256,692,135,327,928,435,
858,430,072,232,041,063,263,674,531,329,159,952,792,041,492,747,206,635,663,
094,592,535,361,859,479,633,386,862,682,929,655,656,585,113,804,106,879,696,
973,932,276,581,862,960,123,150,938,098,622,256,979,567,351,116,419,309,745,
334,197,782,115,643,913,394,983,519,971,995,685,718,584,685,390,515,880,731,
645,450,901,075,204,968,456,433,254,371,880,219,979,210,454,753,591,991,438,
030,514,766,990,378,158,756,188,837,146,517,258,905,122,845,293,994,352,408,
553,167,859,871,308,292,133,883,470,118,473,925,625,725,838,083,931,103,307,
771,808,107,021,321,466,874,205,293,718,716,469,122,891,843,029,005,263,039,
682,484,254,405,672,770,134,259,647,682,645,837,512,656,352,220,140,218,379,
863,399,811,384,479,591,419,421,567,100,108,260,778,047,474,416,589,550,042,
700,367,934,901,781,887,018,645,217,175,832,033,941,816,473,580,928,325,730,
160,317,337,169,412,733,543,925,626,350,480,858,560,453,493,367,970,403,737,
925,033,940,415,784,592,458,016,169,625,466,410,647,977,984,539,782,017,663,
647,989,959,866,100,485,133,769,989,942,803,900,957,275,462,353,712,715,467,
176,896,069,841,098,944,091,967,892,415,683,014,262,917,275,957,118,952,609,
298,876,498,614,033,822,002,712,556,400,414,902,646,310,485,631,594,645,532,
091,834,474,217,098,772,670,448,919,601,874,726,432,077,193,914,316,446,403,
903,245,272,484,329,373,765,455,528,319,186,396,237,613,098,919,207,753,145,
702,695,740,590,342,471,336,691,864,013,552,297,026,576,431,325,155,243,003,
893,654,928,596,599,244,040,408,426,811,431,375,109,274,971,985,471,212,536,
870,416,560,414,619,422,936,966,247,366,274,510,832,801,204,880,312,880,800,
404,132,585,505,100,856,496,874,551,700,092,380,122,017,827,252,363,631,993,
723,674,055,565,604,264,896,491,631,003,710,674,976,911,860,283,054,726,620,
167,086,146,148,253,822,629,079,003,333,135,039,352,616,485,273,415,126,828,
490,591,169,462,354,334,927,564,761,559,321,676,121,747,744,081,400,450,210,
269,731,839,184,455,349,588,819,177,696,464,012,172,764,629,925,714,899,937,
842,580,758,587,539,730,988,110,834,724,510,636,609,976,576,185,213,766,328,
527,218,304,556,098,289,803,379,323,633,749,711,078,982,681,578,180,306,262,
388,599,357,694,148,741,178,776,658,216,797,803,390,316,369,557,984,420,785,
487,069,489,758,066,641,674,347,516,248,462,459,588,836,131,237,751,596,259,
811,695,713,232,119,205,719,758,980,783,662,890,221,905,657,580,863,467,969,
372,829,737,583,217,293,310,491,015,550,590,017,986,908,677,293,300,561,571,
137,699,331,517,909,845,117,039,306,880,411,266,558,373,740,150,518,484,704,
047,490,173,805,635,705,218,925,997,639,008,355,330,378,797,208,146,616,692,
011,208,439,232,585,377,114,164,298,910,856,881,321,249,697,320,218,781,440,
665,471,370,290,947,805,864,803,908,263,504,855,885,957,494,517,743,944,586,
706,181,514,636,660,040,505,551,532,758,347,164,401,135,696,250,094,064,001,
090,200,792,306,534,812,690,280,233,647,874,577,790,234,277,450,620,071,944,
897,510,293,931,124,495,007,224,831,609,506,211,509,517,151,322,761,820,854,
767,510,018,843,390,553,789,459,500,424,676,655,540,985,742,719,760,280,895,
761,617,802,918,797,348,518,956,500,458,345,132,885,419,449,385,290,509,050,
373,159,563,248,092,610,284,253,812,949,351,218,832,837,053,486,048,842,954,
271,911,876,052,719,829,951,352,351,235,463,949,822,266,676,995,148,493,955,
840,409,875,432,342,498,811,251,910,119,258,552,427,705,318,132,498,482,071,
743,047,736,700,901,399,040,387,900,618,174,282,034,128,875,080,902,273,388,
060,214,616,983,053,216,995,772,932,477,340,384,449,607,223,843,298,981,036,
390,046,541,852,932,276,793,192,290,202,988,106,620,211,597,400,498,391,833,
689,933,090,824,072,387,629,917,219,393,787,810,864,418,255,656,906,801,844,
984,137,101,361,130,758,980,168,485,584,520,273,239,280,207,930,202,578,901,
072,009,933,234,442,894,356,677,654,164,592,442,371,179,528,285,668,815,218,
880,921,859,428,101,644,511,864,027,672,267,157,157,948,526,190,240,433,888,
723,552,900,469,105,738,661,910,449,634,898,187,185,257,556,194,962,856,617,
701,904,018,909,733,634,620,390,738,840,944,674,090,595,790,992,695,839,479,
272,932,753,280,726,510,576,897,942,210,021,307,250,246,282,349,414,611,365,
620,544,987,671,022,607,535,762,663,548,058,502,256,854,646,970,190,832,633,
294,285,427,280,588,937,920,477,412,214,999,719,260,424,167,038,495,459,735,
700,078,435,518,541,886,015,065,906,572,141,452,909,139,845,398,148,217,660,
830,824,601,463,949,612,242,946,695,694,564,990,307,301,828,041,822,369,976,
751,524,278,899,468,196,946,856,098,362,976,747,253,508,009,205,072,556,743,
689,884,494,903,949,872,932,476,279,031,104,991,539,805,463,378,697,831,245,
185,120,829,676,748,985,451,119,454,997,067,712,250,142,807,325,405,269,339,
340,653,810,076,101,290,984,636,547,236,418,637,013,627,537,212,200,279,245,
713,964,027,925,124,695,567,762,047,162,349,148,799,493,455,899,154,590,079,
735,838,477,011,461,676,424,879,715,150,664,164,448,400,405,608,146,303,814,
207,852,216,878,182,977,788,005,211,818,911,614,288,600,130,664,912,315,784,
836,677,398,727,476,022,562,237,621,216,407,057,882,201,076,914,708,649,347,
751,654,366,702,968,398,258,604,405,022,805,889,027,259,708,661,577,559,625,
587,831,737,897,039,350,258,920,687,185,038,409,565,019,147,258,560,889,769,
397,089,064,534,463,833,919,768,219,226,006,258,276,392,184,288,136,662,513,
262,171,585,381,669,194,497,211,677,191,903,544,231,036,111,410,990,846,320,
552,912,000,687,643,118,629,415,186,450,842,006,655,092,314,733,736,199,128,
195,313,326,573,326,061,727,849,404,321,821,719,945,566,065,407,865,843,275,
503,216,000,327,606,383,242,191,907,811,040,239,850,337,653,204,607,208,473,
433,979,998,359,029,658,096,536,139,595,962,258,749,988,319,095,736,389,150,
336,566,036,610,239,287,397,715,324,931,192,822,588,258,832,033,668,022,655,
480,253,851,171,058,274,324,134,922,183,262,534,231,116,511,117,703,947,716,
269,768,807,511,777,013,352,647,240,921,221,065,901,394,530,978,190,053,083,
495,813,378,465,626,154,040,243,636,272,814,335,285,320,595,369,037,818,577,
649,709,279,551,297,301,937,955,425,512,757,091,971,860,916,749,323,173,984,
612,464,823,947,322,776,398,337,982,409,118,314,937,227,618,263,895,010,972,
055,875,171,637,786,006,648,856,192,130,158,023,642,797,915,752,840,128,793,
384,480,449,915,809,641,849,947,007,301,296,881,658,875,672,480,882,554,277,
483,812,350,222,860,302,783,987,380,947,609,332,596,874,644,650,393,235,977,
761,490,706,901,744,340,703,957,752,041,580,901,940,502,459,058,721,716,143,
410,191,136,576,175,929,887,182,658,384,127,161,037,401,017,969,937,253,329,
377,842,904,447,622,678,023,428,390,916,870,412,833,293,980,983,725,734,328,
547,575,031,068,505,058,854,309,270,852,028,559,969,113,308,326,062,884,667,
699,964,503,761,122,520,290,317,983,343,394,750,538,755,179,020,717,757,850,
584,250,631,361,254,196,136,942,719,733,051,610,873,617,086,605,543,176,272,
549,421,046,649,849,528,899,376,704,560,393,114,819,521,062,795,849,988,870,
226,750,299,228,725,128,145,701,280,152,769,247,173,083,766,125,529,420,226,
629,109,942,805,196,371,156,451,244,493,227,439,790,185,859,850,223,687,080,
358,022,279,543,452,130,840,469,479,070,753,230,735,593,783,203,534,849,398,
085,670,934,437,375,431,993,904,050,300,700,370,421,710,734,528,955,884,107,
333,660,835,901,103,729,559,443,744,303,112,896,629,317,482,750,402,438,557,
806,097,701,682,422,136,737,035,201,873,008,404,867,857,768,195,326,422,997,
779,667,585,887,198,396,352,071,470,263,923,059,238,586,607,351,970,792,853,
793,449,014,775,220,254,757,503,000,591,690,814,672,879,621,695,169,396,137,
534,773,140,588,015,888,486,588,802,466,892,147,222,105,293,497,379,240,181,
922,173,463,070,242,953,868,989,055,005,144,894,590,145,109,584,449,795,220,
465,850,434,499,317,324,211,309,139,834,004,620,077,675,436,489,976,328,401,
178,178,659,544,212,033,775,064,190,777,612,314,911,194,169,576,652,054,867,
623,356,341,680,401,783,834,633,892,286,475,833,087,032,831,462,994,632,205,
565,139,468,023,920,841,362,432,313,378,190,205,791,100,692,841,158,948,606,
515,065,790,468,545,168,601,436,721,071,592,613,052,417,181,952,020,353,866,
804,306,180,545,140,121,047,068,587,475,327,377,516,331,719,302,101,287,973,
329,258,892,529,274,039,471,681,176,359,748,197,723,685,101,259,862,823,094,
249,564,172,003,788,817,820,361,177,358,756,956,276,587,440,873,021,198,207,
792,395,898,707,936,058,431,995,357,952,482,771,875,756,339,411,102,459,201,
255,764,796,468,896,789,077,795,764,968,034,734,316,086,541,423,295,336,909,
337,533,038,087,882,177,214,875,104,174,398,178,361,601,015,869,459,155,219,
169,419,093,875,736,715,964,929,710,647,507,448,945,589,313,185,995,540,973,
256,470,751,078,096,060,397,779,829,484,972,679,051,901,011,203,767,742,152,
096,567,364,243,535,955,481,715,982,736,200,314,147,892,830,147,554,581,928,
786,358,775,878,227,082,235,684,510,601,187,191,047,031,814,051,351,357,425,
953,108,730,228,214,410,500,279,873,785,560,744,089,876,318,325,787,949,751,
099,154,258,092,158,586,052,372,237,344,648,754,470,602,013,308,267,815,937,
673,223,617,136,044,032,959,287,040,421,619,312,686,820,665,168,258,250,617,
451,134,306,988,087,940,933,011,881,154,927,463,915,025,869,748,737,357,212,
655,125,147,626,089,942,388,050,116,607,889,160,035,780,386,712,990,091,887,
661,127,817,260,786,699,502,089,674,137,511,715,470,528,300,772,889,131,277,
974,741,264,973,926,601,338,364,027,539,841,200,901,515,360,242,512,874,003,
470,300,572,606,499,182,697,991,330,494,806,468,462,751,615,582,622,167,435,
118,699,264,026,859,419,623,900,407,985,827,946,730,057,646,053,501,186,099,
221,084,886,923,979,504,521,294,390,880,699,759,227,310,613,644,686,268,574,
190,015,045,443,848,853,009,513,489,667,194,670,459,786,041,698,903,090,111,
637,933,374,070,299,341,392,038,965,756,318,145,629,834,623,271,143,015,180,
212,092,683,660,185,053,745,497,381,990,939,092,565,451,486,996,837,288,409,
463,356,795,570,752,099,697,572,977,174,958,210,360,673,364,725,089,353,815,
929,003,699,347,700,145,149,221,361,408,269,106,279,236,513,680,804,105,840,
576,498,161,326,590,913,350,430,241,526,921,658,739,267,443,116,045,003,569,
088,447,577,422,420,438,846,976,613,686,834,763,093,289,029,229,977,063,698,
471,396,849,479,019,371,370,434,053,853,833,702,624,027,071,043,833,597,082,
864,262,163,724,268,647,693,041,060,609,441,128,505,663,419,253,813,730,333,
175,624,328,482,617,787,069,961,330,627,096,209,170,592,453,477,905,384,954,
119,284,376,373,201,572,055,548,105,535,482,555,778,044,830,563,496,494,113,
750,834,433,455,619,453,987,950,527,682,633,046,927,839,918,218,778,898,382,
351,403,914,795,644,909,115,147,904,305,135,611,378,277,751,407,903,625,494,
689,206,279,809,751,024,813,452,915,149,892,309,354,152,776,290,345,381,398,
389,471,233,518,922,508,465,842,134,372,063,433,062,199,809,883,240,514,633,
030,433,628,022,634,083,192,556,923,162,565,852,924,939,044,408,096,550,485,
461,075,933,167,984,054,606,049,191,273,638,205,803,284,958,719,599,944,298,
894,573,147,415,696,358,590,185,217,714,785,197,873,242,822,158,087,698,840,
633,345,459,574,914,424,135,125,958,885,754,647,322,767,210,066,491,915,587,
838,993,396,789,527,361,754,007,218,947,637,562,184,815,015,982,199,191,123,
144,056,260,575,963,567,385,879,680,201,547,122,981,571,368,511,000,350,352,
334,858,393,136,579,711,232,113,204,722,849,167,531,931,560,039,207,045,974,
690,666,797,106,819,730,403,143,893,944,779,920,935,854,135,011,318,235,053,
301,386,747,343,924,142,270,145,226,206,146,414,250,867,176,203,630,477,907,
069,739,871,535,926,279,833,982,729,318,744,645,856,947,873,267,688,321,332,
383,813,518,381,476,066,153,328,741,213,943,935,820,182,687,418,739,626,311,
558,805,235,159,397,254,935,371,255,997,462,048,584,622,961,148,951,937,076,
113,151,885,478,590,339,353,992,453,841,626,381,484,799,553,436,993,505,820,
346,543,752,897,879,775,359,728,355,251,646,738,160,983,044,472,841,253,076,
092,010,759,134,188,411,337,566,456,619,648,008,876,877,261,859,525,599,134,
582,449,612,119,882,834,494,879,687,887,382,673,592,755,075,541,171,167,955,
252,977,566,656,454,039,142,613,752,376,383,323,179,575,355,160,287,580,538,
893,856,323,826,957,167,634,643,005,861,125,763,704,681,786,364,822,601,820,
228,956,476,055,386,044,282,900,023,520,874,880,195,714,178,415,782,100,554,
247,241,020,681,307,737,175,287,027,222,282,514,629,349,990,735,290,795,455,
972,919,619,072,998,944,036,681,428,930,175,393,762,804,611,138,877,455,816,
641,084,303,593,196,480,506,622,219,955,156,341,060,659,132,987,914,600,482,
950,902,870,336,765,568,889,095,729,316,917,499,062,311,272,774,001,323,651,
683,456,498,738,782,044,761,289,701,244,499,402,120,420,587,769,611,445,713,
478,895,373,445,946,639,666,322,012,679,164,438,902,370,484,351,564,772,122,
548,520,800,729,286,985,968,368,534,051,299,410,941,359,838,103,796,602,944,
215,112,800,007,950,441,126,410,276,129,836,421,336,349,770,296,921,585,561,
111,866,398,165,853,489,186,091,952,619,632,769,048,630,845,041,527,538,714,
450,876,900,072,802,608,050,580,848,795,477,045,182,669,351,637,787,561,052,
881,336,042,952,660,092,229,683,840,130,280,880,772,677,162,741,700,788,957,
745,185,262,657,031,771,057,819,766,524,146,450,392,005,566,116,758,261,931,
564,123,755,968,184,496,062,258,948,961,311,054,666,682,232,566,269,832,551,
275,339,094,501,403,906,262,620,349,194,366,112,532,991,341,242,192,565,643,
975,425,102,741,826,621,242,941,934,320,269,784,323,938,885,299,979,222,055,
275,612,497,357,289,026,747,158,732,419,344,685,986,063,481,408,939,880,226,
639,019,299,907,980,583,944,495,229,631,251,910,136,949,762,467,415,762,029,
087,847,089,329,248,893,758,286,687,812,733,983,713,019,251,931,844,021,706,
615,318,784,151,062,033,033,900,153,249,528,434,754,991,824,728,537,534,242,
578,723,812,809,213,490,584,807,753,633,258,725,950,701,005,852,727,158,504,
721,073,768,079,068,939,916,345,423,812,768,107,327,416,581,341,369,384,092,
349,956,294,573,798,179,054,150,045,833,021,108,205,465,412,111,494,704,931,
570,486,743,671,601,728,270,002,880,360,997,008,322,932,307,924,629,176,613,
736,735,839,165,298,289,039,215,810,413,650,629,518,043,180,883,268,542,171,
932,825,420,818,198,798,023,394,299,327,369,154,334,799,367,820,167,532,563,
228,927,220,195,096,473,492,243,731,853,084,012,130,750,510,683,420,934,665,
727,720,137,671,205,452,032,693,682,936,117,169,835,097,568,436,931,312,695,
580,431,117,210,036,103,615,105,381,054,685,001,897,450,895,191,518,177,415,
643,353,751,627,048,720,105,415,733,437,722,268,633,221,684,851,346,430,820,
973,223,518,493,737,008,027,073,851,957,353,878,279,391,606,565,434,911,612,
410,758,807,665,763,131,924,014,434,783,502,824,219,056,043,638,555,291,733,
363,031,783,473,979,869,418,527,266,853,604,695,747,569,797,033,498,519,174,
612,253,610,980,887,674,863,225,746,047,686,481,839,638,303,296,943,023,666,
502,907,371,720,099,412,262,450,337,038,510,440,084,610,600,449,957,323,507,
212,993,976,038,165,295,095,379,506,974,042,006,183,470,860,117,208,570,007,
324,103,229,031,656,648,581,675,727,003,999,599,572,002,413,566,955,548,701,
505,598,506,417,233,538,694,697,328,273,961,114,936,906,704,212,831,577,367,
844,911,709,216,567,060,257,626,701,364,981,494,603,891,594,548,221,137,293,
015,940,214,398,357,313,588,882,610,442,974,513,074,969,391,118,650,404,302,
154,193,717,889,219,411,272,409,461,152,251,680,367,011,648,994,502,980,095,
561,019,312,892,547,321,948,653,125,005,847,433,401,657,047,928,807,490,480,
764,548,729,742,026,481,251,794,335,040,569,166,893,522,603,936,985,276,261,
896,237,287,913,974,846,782,803,077,470,217,882,217,344,891,001,027,755,211,
344,173,936,819,807,852,490,162,519,036,237,452,800,815,054,445,448,027,641,
926,285,621,472,677,112,410,257,421,326,185,586,811,666,344,775,272,609,307,
020,952,555,167,208,231,251,715,485,328,786,092,657,228,822,158,481,264,309,
568,594,278,254,055,172,256,984,545,695,656,261,625,862,834,797,011,724,385,
952,280,052,426,932,160,721,645,245,372,699,185,279,478,613,033,417,307,047,
022,938,843,828,469,443,164,048,745,557,247,953,182,635,992,265,973,287,635,
023,419,032,091,197,061,921,529,015,284,803,440,800,612,981,353,769,844,960,
698,061,808,249,236,132,146,286,653,360,970,392,761,415,528,906,461,170,399,
115,915,992,411,606,340,283,019,098,398,232,607,036,383,274,014,223,220,626,
915,355,245,811,972,189,054,551,786,141,536,611,663,642,664,685,440,392,299,
662,786,781,302,453,375,419,203,964,932,422,922,716,674,996,726,216,656,039,
216,305,380,784,967,659,158,100,478,192,301,852,784,342,108,655,969,229,961,
355,464,383,754,666,097,622,127,740,033,749,052,614,467,168,910,064,699,238,
647,554,685,033,452,756,125,672,136,976,411,151,510,744,196,143,042,606,488,
774,005,693,875,113,846,583,499,641,758,190,346,955,788,590,516,550,010,992,
493,659,087,246,243,653,063,235,296,562,645,065,606,076,967,230,829,951,410,
332,505,834,089,067,603,229,110,676,367,750,176,333,508,529,669,772,066,298,
549,532,166,408,522,872,895,964,772,567,078,306,580,688,222,773,074,104,361,
763,340,541,079,337,820,858,631,708,886,911,308,361,405,864,897,807,095,135,
783,905,327,038,498,597,574,515,326,539,423,002,759,249,333,556,541,002,356,
942,827,941,462,217,248,878,635,437,773,267,027,147,782,519,868,874,553,313,
340,621,625,244,465,122,796,030,177,818,954,432,236,125,073,303,710,440,673,
343,871,999,511,657,287,638,230,787,182,957,405,877,263,758,559,910,046,648,
433,025,665,103,768,149,234,182,299,119,627,715,301,942,970,851,026,716,985,
397,979,727,008,779,006,418,172,264,242,226,113,168,616,822,793,719,888,642,
556,255,114,105,471,603,172,107,087,874,653,807,046,305,862,637,158,488,552,
458,915,977,024,255,908,690,283,553,189,196,634,131,670,356,507,692,396,695,
625,205,948,668,502,358,793,262,354,583,287,859,752,604,676,420,386,688,888,
383,973,914,410,218,862,152,661,796,579,575,301,893,622,529,801,169,825,237,
236,200,292,284,033,126,006,788,490,601,007,799,703,672,863,592,058,605,428,
318,756,105,116,756,844,163,879,786,154,428,907,752,631,420,227,473,205,366,
418,834,389,342,747,749,578,585,172,819,054,941,791,329,086,886,510,813,168,
188,875,350,250,818,578,282,309,117,282,302,721,196,343,092,537,252,945,649,
910,919,166,515,192,538,443,093,793,109,473,780,021,442,400,629,969,307,724,
425,927,240,898,955,932,691,912,719,478,767,311,029,989,831,501,437,530,859,
082,509,682,144,810,152,865,597,740,611,668,407,329,808,918,241,301,342,893,
244,699,281,195,675,279,185,712,084,449,960,772,740,217,526,574,629,838,489,
743,872,218,959,829,161,674,080,096,463,946,968,906,855,610,118,369,615,765,
965,788,065,869,002,003,218,140,038,154,467,818,133,936,323,552,488,843,866,
620,017,195,456,659,096,102,303,227,175,420,606,033,042,298,734,280,201,266,
240,632,238,488,915,564,771,097,837,482,297,716,310,405,395,133,103,112,633,
425,252,610,945,555,741,152,576,528,049,269,081,889,920,931,223,527,020,615,
428,990,255,637,503,927,098,319,289,753,822,192,779,640,469,437,675,915,115,
401,800,791,602,099,880,549,440,768,055,570,457,242,193,898,979,265,064,309,
535,258,794,029,079,961,936,615,524,237,167,677,612,304,935,209,977,960,590,
690,067,415,316,100,862,708,661,900,810,916,766,586,778,885,942,718,053,409,
523,818,589,745,047,446,428,178,604,216,768,350,260,087,132,943,252,856,645,
345,686,231,741,487,297,018,719,935,339,682,211,293,208,121,401,299,808,129,
694,211,336,044,765,826,118,292,299,430,353,578,346,826,977,111,958,378,657,
012,175,461,199,886,832,757,917,721,603,368,194,269,021,542,385,356,172,144,
152,223,373,268,953,129,829,854,971,386,965,257,810,786,712,210,316,905,846,
336,240,061,887,127,873,059,826,647,582,387,173,612,930,807,488,127,333,878,
705,846,207,610,372,233,374,814,244,592,101,135,529,592,322,028,770,868,650,
644,738,997,000,875,568,031,224,822,778,143,583,324,961,431,667,995,626,623,
049,718,043,505,392,469,047,161,691,362,961,394,983,377,580,570,113,083,768,
328,843,376,420,641,571,843,672,123,349,413,803,472,526,193,040,895,029,888,
467,311,948,508,696,491,056,423,544,243,128,503,660,065,374,006,581,514,164,
458,823,863,447,499,558,045,446,670,324,046,038,265,512,924,897,636,915,506,
797,559,543,142,126,706,332,841,419,344,494,041,348,109,487,619,043,696,260,
219,165,687,645,316,479,146,309,266,657,921,084,434,456,540,824,064,229,857,
059,900,564,520,429,794,537,901,681,097,425,814,916,550,542,048,701,851,496,
861,199,236,796,234,544,912,226,596,580,869,192,118,533,278,059,937,419,788,
490,063,004,255,991,340,682,281,742,414,730,441,393,549,712,324,822,349,309,
897,149,035,624,546,607,479,924,421,791,242,265,089,959,878,559,699,612,758,
221,073,059,545,833,512,632,431,785,060,885,545,107,593,838,668,721,225,781,
466,780,824,370,360,573,325,059,975,091,778,957,366,032,371,100,851,252,712,
434,653,758,173,428,177,099,569,398,432,197,401,946,634,271,893,214,294,825,
509,109,441,896,674,827,041,269,224,591,139,030,686,430,082,809,918,478,583,
409,787,581,899,457,007,660,482,514,521,575,181,814,510,462,092,308,967,171,
878,590,132,908,105,807,866,864,837,868,068,497,791,766,700,224,237,246,538,
480,436,260,161,502,087,698,102,031,858,885,325,644,969,546,278,983,698,811,
648,787,716,283,800,500,665,611,539,618,659,135,842,984,754,042,346,044,219,
444,864,735,734,236,055,100,202,998,974,136,715,129,234,649,736,755,460,887,
490,218,073,613,343,571,238,972,901,412,359,145,692,012,967,078,986,769,581,
217,272,926,343,346,024,349,350,776,649,414,188,329,529,147,400,563,901,344,
984,686,025,306,341,812,987,177,963,786,420,892,841,253,566,459,817,108,840,
540,608,184,447,063,240,642,905,405,580,965,835,557,594,795,642,952,593,535,
776,165,258,381,492,217,020,178,577,502,420,808,332,738,564,285,804,566,094,
704,975,165,770,125,485,684,340,777,476,712,362,461,572,196,524,939,196,840,
979,832,672,737,946,326,886,735,946,051,234,892,853,437,813,034,309,864,480,
894,344,637,133,582,365,941,940,207,314,990,442,783,271,040,779,696,126,540,
340,309,853,689,005,401,807,710,215,602,467,012,281,967,947,833,550,216,068,
682,726,886,821,254,599,724,730,175,521,695,080,060,185,955,370,884,660,217,
130,578,443,231,694,864,881,219,625,498,754,316,945,424,037,158,159,425,807,
460,379,587,506,457,928,221,778,401,795,302,941,992,786,156,939,386,749,563,
270,165,601,763,862,791,201,847,077,790,409,838,513,819,230,313,141,313,157,
723,409,939,114,687,314,703,171,197,891,989,166,067,413,582,002,376,392,146,
951,338,751,750,286,484,682,662,543,019,463,079,297,413,019,367,270,369,832,
018,592,991,427,669,138,599,324,491,952,569,304,230,993,392,555,105,473,310,
113,779,995,046,949,535,308,956,749,605,735,492,718,455,942,899,613,140,379,
122,216,051,815,095,881,575,218,481,781,320,557,123,146,497,872,775,553,293,
453,447,585,743,934,132,235,242,770,355,250,864,169,860,173,760,070,376,507,
078,244,506,310,003,778,461,581,536,521,654,404,028,205,995,864,433,319,526,
967,083,031,354,755,637,473,196,121,463,039,668,333,321,847,554,468,643,515,
682,054,228,100,647,042,233,156,277,822,996,834,699,487,002,763,258,242,926,
059,904,766,610,075,255,236,624,315,744,099,862,913,270,670,719,989,079,291,
447,897,204,856,080,416,106,595,115,434,881,031,130,992,065,919,257,444,663,
485,624,246,334,360,683,813,876,795,349,190,821,242,733,486,114,140,286,562,
888,530,831,856,203,760,705,167,427,990,279,980,121,434,469,297,211,243,126,
917,049,332,653,614,402,100,095,128,536,885,950,588,319,640,595,189,985,394,
543,182,231,151,899,993,896,195,471,447,916,691,016,003,808,104,703,118,810,
064,504,424,849,888,773,395,715,350,766,632,156,629,568,115,038,642,774,086,
180,575,399,551,438,430,425,049,259,245,857,785,727,796,016,630,886,833,107,
013,385,938,257,005,895,781,967,037,126,129,588,971,913,691,628,923,613,899,
250,075,304,156,726,023,361,138,615,257,386,362,642,052,694,593,508,760,436,
303,838,465,474,062,597,763,455,189,703,257,756,522,113,010,647,907,823,707,
742,827,507,942,730,851,243,718,995,714,179,855,770,294,210,557,841,873,784,
641,897,620,452,162,240,550,949,143,276,740,978,031,727,334,626,418,044,000,
378,990,843,655,089,307,783,663,607,838,114,330,939,848,610,398,222,275,323,
102,014,417,804,494,835,926,920,432,286,136,411,391,990,687,785,849,561,482,
765,568,511,503,419,737,238,097,658,512,544,915,372,085,708,558,137,064,736,
299,855,240,044,593,848,929,468,154,236,859,942,796,415,732,760,190,554,013,
753,628,739,651,131,605,837,346,362,599,984,942,181,033,156,505,006,624,999,
146,876,611,500,205,058,110,950,496,202,051,987,740,913,831,848,509,308,709,
594,213,864,666,146,740,088,906,835,435,244,679,702,629,503,369,213,843,905,
130,777,142,895,575,097,361,932,515,378,102,867,835,789,594,338,394,621,529,
160,331,002,767,178,841,734,342,405,531,074,293,749,659,788,637,751,258,289,
448,610,764,067,072,183,786,896,806,033,199,869,400,101,564,286,321,731,187,
363,589,938,918,743,205,638,145,066,988,366,353,317,051,890,165,712,514,602,
745,437,568,564,153,634,034,336,955,429,175,245,298,992,523,152,330,191,411,
320,554,467,120,578,129,008,213,273,130,112,440,915,863,892,105,225,385,581,
696,790,942,859,726,455,933,698,190,301,261,282,346,735,774,955,882,459,245,
135,199,313,480,807,739,401,095,343,969,948,000,696,741,791,629,683,578,431,
072,932,713,819,315,060,989,609,936,827,833,934,002,831,949,688,268,928,433,
170,508,948,242,554,534,821,380,228,813,534,841,366,831,998,652,856,873,981,
634,714,033,039,330,698,563,538,847,405,945,001,150,499,328,781,562,461,861,
039,211,408,477,722,218,650,304,778,859,377,870,177,705,357,382,544,486,091,
869,001,665,873,859,418,431,785,759,909,199,329,289,957,745,071,122,411,242,
082,112,514,667,731,359,845,042,682,196,503,307,237,425,775,484,472,459,513,
246,494,754,388,389,668,073,452,662,708,534,276,707,242,614,906,987,894,122,
833,152,493,415,783,532,560,462,923,706,246,662,780,635,931,935,428,819,726,
399,487,591,207,547,561,561,358,122,991,171,337,098,053,340,352,405,085,646,
793,010,614,773,039,838,426,442,272,265,789,147,867,618,121,741,393,469,941,
240,522,391,663,650,361,183,453,629,103,194,619,359,306,104,378,488,724,610,
863,987,550,944,699,140,507,357,974,063,464,200,526,627,101,515,008,899,272,
775,482,276,922,854,959,079,212,558,315,762,036,671,137,743,327,900,441,291,
599,174,317,240,628,490,924,954,496,476,942,121,792,940,176,750,077,078,648,
941,605,819,406,495,064,208,664,843,851,654,381,805,834,766,631,877,558,415,
918,306,538,510,222,677,583,186,734,388,393,655,333,449,223,988,523,186,761,
857,346,193,762,607,084,052,409,283,849,011,619,085,125,157,931,727,065,182,
105,202,803,425,154,968,186,363,371,796,476,139,410,217,028,065,542,436,130,
773,670,639,627,953,219,175,651,504,975,967,632,403,875,310,322,007,071,757,
438,640,690,279,807,577,411,127,584,731,779,075,791,685,631,491,661,571,173,
375,530,035,466,920,264,078,581,075,554,599,827,675,574,113,728,598,442,902,
997,676,237,213,810,028,556,088,240,914,887,533,270,036,845,124,271,786,628,
431,849,794,921,479,276,646,401,468,772,544,794,162,580,568,933,437,417,075,
990,019,567,539,483,396,787,315,320,206,822,473,017,943,518,084,658,664,331,
228,982,466,442,252,860,760,126,619,045,696,484,652,555,606,004,700,804,105,
392,521,355,577,704,743,483,464,463,144,441,025,004,753,887,169,258,778,310,
190,229,347,283,485,832,028,636,178,867,486,860,084,554,455,614,725,250,678,
137,118,615,646,516,455,363,235,714,947,551,358,011,010,890,305,006,729,558,
563,571,003,008,555,125,773,718,030,517,351,231,786,708,760,639,100,735,467,
952,931,387,129,931,294,465,894,342,000,046,799,186,131,124,762,751,811,915,
661,296,280,296,743,031,509,725,186,616,324,229,832,268,109,007,688,874,827,
141,503,608,316,459,904,144,072,823,073,901,045,185,517,657,621,429,904,493,
342,391,035,335,258,805,516,675,866,230,040,928,849,887,147,042,736,506,160,
265,642,333,026,793,698,028,566,109,599,378,601,540,021,010,305,071,752,835,
632,068,702,290,454,342,215,407,322,850,247,028,170,513,316,187,398,013,499,
934,113,129,819,988,951,465,110,589,764,964,114,992,152,569,717,590,824,311,
087,272,791,705,972,578,688,371,651,702,930,726,528,183,606,419,172,860,218,
591,182,526,838,320,258,435,025,788,723,700,204,273,641,132,855,591,943,158,
249,290,644,077,789,021,273,167,285,553,643,740,970,545,908,186,725,646,073,
322,249,304,475,033,023,877,345,643,090,703,995,882,700,789,442,431,691,754,
738,059,976,466,146,452,912,243,274,852,821,093,008,512,729,539,526,362,328,
090,200,237,579,012,644,541,188,350,137,471,297,856,078,154,998,942,112,259,
609,702,013,002,392,354,930,689,479,579,154,034,793,815,223,975,046,231,106,
744,716,139,671,578,381,707,532,948,460,197,171,134,657,579,080,771,422,102,
982,094,963,800,312,012,420,680,473,597,428,202,485,521,862,674,659,003,214,
437,537,649,792,802,449,029,552,981,113,889,554,762,838,142,321,583,926,824,
321,961,487,029,403,502,319,826,526,815,955,566,227,893,146,248,793,290,773,
799,649,333,182,813,059,217,825,173,167,443,412,611,129,757,017,763,779,161,
185,878,407,784,141,443,575,094,030,824,655,542,694,537,574,037,260,565,306,
566,494,566,965,707,367,141,473,817,497,670,862,092,363,905,187,643,941,998,
732,166,376,766,664,473,499,028,508,518,858,457,755,121,816,192,410,492,693,
231,681,431,117,619,761,957,648,657,063,057,395,693,972,825,197,604,487,124,
467,541,510,566,393,208,433,162,564,542,693,290,518,923,655,870,133,803,237,
408,286,160,603,441,943,056,684,844,463,825,741,303,045,941,848,780,008,362,
167,300,153,364,322,789,691,432,802,734,140,862,865,268,950,241,425,975,672,
156,229,018,504,762,238,808,521,444,922,706,939,392,128,189,027,019,174,595,
434,435,534,856,238,897,384,438,834,270,405,048,239,761,006,656,090,830,528,
931,403,490,272,981,860,878,384,842,697,025,620,030,956,033,239,417,964,671,
166,395,432,665,222,840,207,506,305,212,546,531,668,382,757,302,865,337,783,
448,487,282,195,440,256,534,360,816,572,167,284,182,353,790,674,610,998,095,
435,738,740,106,387,686,060,578,628,409,936,519,071,692,400,262,916,137,739,
502,808,646,839,813,349,615,200,558,145,932,568,074,964,673,564,548,419,185,
562,210,093,118,446,533,730,888,160,351,121,333,362,406,579,533,414,991,635,
517,605,597,206,434,891,434,718,658,892,317,765,100,690,350,826,307,864,678,
854,245,241,494,643,825,514,650,201,624,885,986,673,493,051,359,287,872,689,
838,728,803,554,296,240,391,379,646,278,849,020,988,093,339,032,313,275,078,
571,012,841,578,648,530,432,357,388,604,478,542,012,930,818,709,791,148,125,
235,708,723,898,656,267,913,866,131,071,478,971,205,550,379,725,885,565,582,
136,770,205,740,961,348,238,155,270,443,460,557,580,448,214,059,455,151,319,
424,532,119,931,179,287,435,462,060,208,755,233,962,015,816,456,635,636,408,
527,744,127,354,819,207,141,823,793,188,445,821,740,725,226,887,952,822,005,
117,048,083,588,853,131,734,059,055,399,918,626,820,171,271,184,387,866,341,
046,840,893,614,210,171,179,412,055,823,721,990,939,627,040,632,813,622,633,
937,404,660,716,888,021,397,763,519,645,187,238,569,620,607,768,799,611,223,
277,571,656,721,272,880,026,909,829,145,516,836,998,458,489,069,989,133,036,
230,890,523,764,120,197,298,277,264,587,434,990,012,186,776,171,185,730,515,
655,967,535,079,097,041,516,916,107,534,278,692,352,082,489,310,590,964,892,
788,003,739,655,339,931,425,106,255,604,466,520,728,536,853,749,431,311,424,
816,363,110,753,086,692,064,501,363,026,172,615,461,102,072,196,565,502,299,
646,723,649,035,740,066,592,332,526,547,727,644,102,095,830,659,219,017,206,
760,976,274,066,601,966,695,459,058,007,354,579,713,716,121,985,825,151,708,
271,547,267,252,405,811,003,229,926,335,058,101,839,219,663,299,720,123,609,
904,139,669,932,632,333,103,094,773,356,823,674,526,983,036,736,732,753,181,
252,008,275,314,250,228,638,949,881,599,105,990,889,201,738,397,176,221,295,
856,548,761,232,909,964,647,140,764,137,794,774,913,310,102,573,313,924,196,
283,835,966,642,651,765,524,317,924,717,131,052,677,754,544,387,304,755,120,
512,683,555,560,381,017,879,137,460,390,172,921,583,062,471,978,470,194,443,
383,070,233,007,498,143,507,437,625,572,745,616,285,617,796,535,384,614,609,
905,813,881,689,114,561,993,782,808,374,024,717,139,947,446,203,770,400,339,
315,336,450,756,058,959,509,103,347,700,119,171,009,532,950,742,925,519,029,
792,006,604,157,066,998,332,433,194,484,040,471,345,507,851,430,077,360,202,
701,444,981,221,517,268,601,001,147,730,446,492,233,369,928,072,775,201,382,
895,141,484,353,706,169,659,039,981,173,527,058,532,557,921,520,566,294,770,
470,147,532,958,139,063,255,318,424,428,089,897,540,096,141,352,331,695,091,
972,705,040,816,957,489,784,436,708,584,428,051,537,483,758,435,456,267,330,
694,753,054,086,235,711,845,260,631,388,189,016,564,813,584,967,114,680,085,
383,248,756,026,503,845,069,856,416,430,216,299,300,101,917,089,526,775,982,
779,632,324,423,091,304,451,946,431,406,894,351,737,408,228,319,907,735,899,
713,490,732,985,136,791,267,941,535,398,438,924,947,460,913,646,263,843,351,
871,903,054,238,882,711,455,590,087,975,028,032,504,475,596,344,095,117,152,
940,886,488,375,200,597,696,836,740,446,987,093,150,729,430,804,287,501,954,
075,786,631,513,728,098,774,148,799,774,923,956,969,457,470,505,211,253,540,
455,577,212,919,591,415,207,545,778,113,386,031,244,078,239,438,332,499,820,
604,860,864,876,660,988,322,141,558,176,069,543,597,407,629,250,784,480,401,
337,834,856,944,789,843,870,877,606,690,503,500,477,751,977,071,410,450,004,
412,596,005,882,437,321,835,180,873,686,634,364,191,011,128,901,080,184,598,
246,792,581,405,812,751,217,817,737,677,459,691,735,911,153,645,976,021,188,
313,242,065,009,224,589,761,291,495,803,784,745,641,212,981,408,222,392,961,
779,390,120,598,991,632,506,415,164,377,725,358,823,069,965,110,717,977,131,
803,171,607,667,787,583,820,321,905,203,603,568,045,951,649,299,206,151,744,
516,273,251,009,493,604,816,880,740,965,826,766,250,333,879,302,161,525,163,
752,642,214,551,289,791,032,642,492,215,580,225,723,182,196,318,156,518,863,
714,619,261,189,808,149,902,466,690,184,367,148,646,673,639,363,824,472,408,
488,096,619,255,819,046,867,006,380,261,862,289,566,066,795,763,711,457,065,
322,719,090,020,779,944,188,125,523,557,836,310,416,866,826,788,482,182,824,
013,567,682,365,001,078,003,854,922,119,655,263,532,088,952,967,306,079,473,
602,553,937,121,677,986,883,801,072,085,564,351,006,550,081,270,630,623,011,
868,014,917,148,339,838,037,478,605,858,204,796,396,681,292,507,626,304,986,
316,578,360,814,269,592,916,604,169,697,128,075,264,525,043,207,707,814,508,
352,020,991,099,875,756,473,969,318,689,376,046,158,819,146,464,558,164,212,
150,592,881,891,745,417,977,236,374,655,530,095,893,058,640,144,843,749,750,
065,793,711,748,304,221,210,882,965,745,123,756,689,389,083,659,601,558,421,
319,962,556,978,075,929,250,335,817,686,236,844,739,151,222,818,455,657,132,
466,630,496,412,586,796,775,535,548,687,234,518,095,074,039,539,259,031,889,
674,304,646,299,666,687,897,847,014,345,134,754,920,146,373,001,167,009,023,
330,881,062,590,792,579,923,878,869,055,050,014,790,023,527,817,822,238,238,
731,932,163,172,432,818,950,237,605,313,292,572,495,923,099,551,167,687,222,
392,152,636,007,580,172,121,009,700,345,534,935,022,605,814,676,742,232,385,
770,339,442,868,222,769,961,390,898,365,923,351,264,417,742,918,917,406,534,
916,227,515,788,952,198,935,781,583,845,563,753,353,454,969,521,299,773,850,
597,193,184,185,254,942,892,524,137,863,532,020,138,350,340,373,919,598,397,
213,740,001,683,032,477,835,233,679,459,435,369,489,544,425,932,121,967,061,
232,561,297,938,499,704,390,271,483,427,684,852,094,959,108,807,553,485,033,
293,145,258,481,112,507,545,641,994,082,910,704,101,605,332,156,421,235,784,
160,617,707,755,555,598,239,839,714,283,174,800,769,864,909,146,783,766,989,
854,656,507,517,740,287,454,115,281,155,311,881,460,634,040,716,549,232,609,
462,553,873,595,790,083,542,687,517,000,245,104,908,773,730,750,017,930,436,
681,068,952,753,042,706,823,052,058,687,646,090,825,660,508,779,913,750,219,
319,562,626,940,541,851,624,958,432,771,881,290,672,433,027,888,784,280,804,
800,227,602,851,782,644,862,558,684,421,563,677,091,442,057,102,464,491,276,
852,900,195,351,640,077,273,253,908,339,751,499,412,914,512,637,251,482,294,
167,465,672,312,023,952,911,010,544,771,936,726,423,267,787,853,754,226,248,
171,261,549,047,356,565,371,636,766,981,148,201,974,184,904,556,739,107,560,
386,603,884,666,334,253,288,193,556,676,306,773,205,940,538,618,229,340,917,
278,955,802,852,355,299,383,613,240,999,739,017,804,580,548,647,144,438,295,
725,611,213,214,105,456,288,358,678,551,932,428,269,797,605,538,394,923,621,
005,799,976,478,167,517,552,638,997,338,198,993,163,726,099,295,109,790,735,
165,630,122,011,630,885,624,784,648,287,048,401,001,726,294,147,247,370,402,
967,004,935,224,398,199,317,462,002,481,739,633,405,767,335,525,222,692,820,
933,595,344,405,595,244,266,716,045,054,978,006,950,308,272,803,498,919,792,
911,948,756,208,970,717,259,470,746,795,328,189,858,539,576,274,811,815,227,
622,579,743,483,754,731,019,861,622,990,992,691,967,914,268,097,973,322,826,
182,502,081,164,649,556,032,680,607,032,435,292,019,159,762,608,701,853,179,
346,633,089,795,752,953,734,314,454,577,876,509,929,421,624,741,139,305,744,
057,072,469,550,947,509,608,158,882,379,624,895,022,588,924,065,842,341,605,
505,718,970,026,267,415,441,669,536,368,349,747,123,632,845,221,478,536,177,
417,195,731,984,094,430,659,498,168,723,376,713,386,428,190,578,875,583,150,
048,997,708,465,511,148,212,618,939,588,246,339,338,262,043,169,020,820,986,
422,091,476,793,099,017,381,421,205,936,311,493,662,481,559,612,142,248,911,
421,476,546,049,932,388,818,371,119,115,190,507,175,837,766,512,976,227,034,
541,970,653,708,139,663,121,652,489,322,479,355,102,520,717,097,546,917,719,
908,425,376,544,915,226,293,659,083,353,360,559,324,871,496,878,854,869,962,
422,194,463,112,354,769,576,554,535,257,137,529,534,143,374,418,103,124,362,
665,164,460,248,641,456,572,306,771,702,558,554,944,280,553,453,442,916,646,
184,881,246,149,668,780,636,894,639,724,470,592,505,951,072,498,973,844,214,
751,492,197,460,994,611,092,045,509,846,922,291,447,871,830,433,585,224,503,
502,663,609,409,055,826,546,620,649,338,712,467,621,863,299,685,296,381,980,
756,110,349,053,457,941,493,811,303,032,460,442,819,795,199,118,504,738,370,
215,499,231,667,815,950,010,702,227,376,545,744,543,199,713,236,484,456,978,
628,350,827,001,490,944,603,319,830,361,152,307,993,607,232,167,928,059,016,
748,707,691,575,728,433,050,002,939,196,006,032,040,121,966,916,745,781,388,
452,850,571,252,127,667,506,850,734,886,005,294,255,327,452,149,020,206,369,
790,725,658,652,448,531,262,541,262,407,742,911,228,452,674,263,090,787,066,
670,493,195,066,278,792,668,808,852,368,471,454,204,363,806,194,395,878,485,
493,692,152,209,806,542,580,554,299,771,346,945,095,717,731,690,226,407,643,
432,380,346,641,462,818,628,873,656,798,140,926,016,337,992,021,969,917,030,
170,639,245,362,084,159,648,071,411,288,183,202,274,907,762,337,348,502,385,
568,425,186,200,064,796,542,509,348,355,060,607,452,492,681,621,784,992,305,
897,483,442,046,605,471,778,479,820,874,442,525,417,791,564,745,068,844,416,
786,058,375,517,545,787,182,541,217,124,568,631,130,609,039,848,470,578,358,
762,332,207,516,815,188,081,891,952,976,738,585,366,261,222,133,257,063,791,
564,796,777,888,008,879,707,101,160,618,902,752,127,686,061,923,078,802,614,
064,086,737,340,819,639,861,739,379,052,239,734,273,036,579,591,603,920,823,
931,865,491,173,039,017,730,324,208,073,672,950,804,601,460,761,162,937,292,
560,332,146,651,937,775,682,953,488,908,686,157,510,940,712,268,836,852,185,
709,902,933,462,809,146,649,079,122,902,746,345,047,930,860,305,821,357,154,
311,082,083,893,657,768,618,793,058,163,352,850,386,742,970,065,772,994,936,
587,382,079,947,718,814,832,005,445,900,530,191,806,840,311,145,866,519,582,
009,906,046,255,016,777,051,193,437,762,411,752,553,472,766,941,785,229,066,
168,685,025,871,019,574,371,808,540,538,759,930,940,482,692,747,419,290,346,
747,568,177,636,862,905,243,614,830,174,895,051,233,135,227,833,731,858,915,
431,021,072,714,636,023,090,332,547,004,747,270,483,752,504,772,146,166,095,
766,549,999,649,716,314,330,608,225,742,390,946,599,397,050,135,329,652,650,
219,122,623,142,024,325,168,887,496,708,669,814,979,206,426,006,909,400,045,
314,622,350,201,802,186,959,348,868,959,480,063,952,527,549,780,911,761,710,
654,541,862,175,989,862,321,099,227,644,774,865,747,685,282,152,294,864,179,
516,042,795,471,336,252,769,570,820,746,056,159,858,182,227,975,609,390,214,
029,823,365,031,075,304,836,960,870,750,181,751,192,200,941,020,467,644,644,
071,257,647,363,875,937,279,106,853,413,336,471,364,898,095,687,227,641,692,
893,903,618,031,030,576,697,312,850,660,239,213,259,466,733,518,455,682,473,
526,857,805,674,417,613,613,933,968,984,036,558,804,390,452,550,230,834,773,
570,962,548,342,284,481,678,716,744,856,203,909,086,353,767,616,210,634,534,
129,753,275,189,795,893,488,235,284,744,212,273,149,918,960,814,122,621,483,
556,802,820,171,572,104,728,124,717,888,664,334,905,413,336,081,637,123,757,
942,181,395,959,372,830,159,057,455,391,765,567,764,808,918,706,064,809,470,
457,681,921,083,820,768,423,445,836,227,931,079,584,908,182,707,680,855,103,
503,042,286,551,544,774,979,080,682,610,896,626,914,844,045,651,455,602,019,
710,103,007,602,777,807,343,304,056,932,562,947,063,786,307,977,633,527,835,
988,869,847,785,680,118,335,726,715,712,376,333,632,590,699,698,507,931,602,
708,427,247,896,808,452,478,280,920,299,375,169,363,651,696,528,686,163,713,
809,966,940,589,266,217,860,694,771,354,744,680,960,093,793,499,690,992,699,
931,437,440,731,273,072,737,961,638,833,809,700,299,618,878,376,954,885,182,
899,672,067,233,606,672,990,235,334,711,551,407,236,271,389,347,845,199,052,
111,128,103,070,192,534,985,926,984,413,059,110,865,743,247,248,918,724,130,
544,163,155,296,765,186,719,304,564,565,474,565,097,721,851,443,729,971,828,
598,330,668,453,102,672,476,846,970,410,430,463,391,833,970,901,933,752,833,
865,084,841,538,482,213,294,302,949,909,378,253,962,030,301,230,200,293,158,
544,010,096,622,371,139,622,165,311,698,796,399,983,875,088,364,581,279,660,
397,629,543,574,996,333,832,769,690,961,047,763,625,027,468,360,895,808,341,
633,358,808,606,128,909,312,702,000,516,476,527,288,165,390,013,231,596,800,
697,612,748,397,305,973,474,847,839,574,609,485,444,126,986,178,450,509,235,
624,261,758,208,579,153,155,005,657,189,117,258,932,527,339,984,307,665,489,
816,605,519,131,826,642,005,747,188,722,351,452,936,552,714,670,283,205,312,
582,519,996,756,970,322,540,316,715,433,310,903,383,694,409,291,155,654,652,
059,695,984,374,396,761,920,985,045,792,729,229,201,892,358,756,649,595,436,
538,102,491,780,568,593,804,012,122,803,458,832,761,793,411,496,063,752,106,
396,600,149,273,623,876,686,899,124,774,656,210,910,952,307,149,456,114,929,
459,355,590,361,194,677,795,631,549,668,061,297,079,781,345,912,730,092,042,
182,862,229,227,981,032,569,426,961,699,759,170,010,387,097,001,588,096,669,
910,415,982,673,013,270,329,162,044,184,639,362,860,514,220,726,806,515,781,
966,005,005,817,020,375,776,995,900,424,516,419,842,989,043,155,031,573,990,
418,878,536,643,014,561,186,891,182,448,525,599,569,704,702,971,686,817,541,
080,573,603,064,737,921,941,157,208,566,507,453,490,477,146,387,502,275,845,
890,804,180,728,360,635,699,489,477,956,796,669,651,225,773,911,808,142,958,
310,862,036,083,189,612,461,512,676,630,390,418,609,368,611,019,903,405,212,
125,539,836,047,071,555,704,317,716,812,488,153,583,192,578,212,965,171,829,
839,707,332,260,750,344,316,832,529,508,980,722,912,868,610,153,011,510,857,
829,259,973,253,701,994,505,907,039,866,989,044,571,751,568,482,152,693,177,
743,282,253,748,149,811,020,376,132,042,203,434,325,426,825,939,133,847,441,
801,209,854,814,168,220,805,126,022,742,533,524,551,433,256,211,788,750,904,
881,494,652,859,804,256,084,330,224,070,506,989,628,188,963,884,348,556,655,
057,843,117,655,010,782,999,980,313,966,378,770,898,638,803,534,415,667,760,
987,617,123,257,702,486,572,609,345,526,590,004,472,163,026,885,265,770,597,
433,254,725,885,696,541,748,203,821,580,508,046,763,997,382,588,109,981,931,
988,279,716,373,148,050,374,000,237,280,113,747,988,564,279,445,068,729,099,
583,847,565,391,632,593,385,648,838,972,372,148,079,477,697,018,342,897,401,
418,308,694,135,682,070,863,517,645,435,248,163,682,879,417,204,392,100,951,
425,895,199,948,021,742,046,979,342,881,330,222,047,710,761,535,046,288,534,
593,369,842,306,110,991,635,246,139,529,521,715,318,364,206,070,257,336,684,
991,804,698,614,819,018,956,272,915,533,524,413,632,475,260,907,194,350,728,
916,713,131,073,890,178,133,167,583,413,436,091,095,213,172,957,330,240,845,
184,549,650,479,227,423,230,797,605,963,321,335,000,567,962,886,656,646,993,
478,311,468,396,363,286,388,761,611,391,393,878,281,175,321,962,429,261,418,
567,865,261,342,670,301,706,490,681,658,603,443,317,883,286,711,512,919,609,
466,285,566,383,521,795,819,043,724,445,333,064,745,857,806,597,369,670,201,
076,566,168,499,567,805,940,595,877,614,240,905,484,071,178,362,915,555,901,
903,235,617,032,646,826,859,643,173,444,951,928,663,651,478,855,060,701,204,
958,399,121,522,267,312,909,340,171,892,313,652,341,269,052,620,906,663,036,
065,368,161,771,220,910,544,525,523,158,469,160,722,069,118,917,601,638,823,
457,241,216,597,780,451,069,877,173,556,567,226,290,530,289,972,703,724,492,
563,938,303,619,843,943,071,728,669,785,470,583,861,298,457,047,042,933,166,
102,717,494,722,794,444,909,885,149,603,153,810,585,714,999,962,158,251,356,
957,776,729,243,517,712,347,044,674,098,673,435,161,390,591,856,806,747,479,
554,657,957,545,384,441,058,594,033,079,041,209,969,410,763,260,711,534,933,
330,189,682,768,902,373,699,936,509,570,495,393,603,584,672,706,057,134,853,
378,896,588,605,070,325,595,263,588,504,766,587,390,339,921,421,988,326,467,
862,737,419,975,667,445,228,174,274,733,029,694,578,070,560,890,825,847,377,
495,923,881,701,857,736,857,283,705,232,793,491,906,923,286,532,014,021,601,
558,406,468,970,670,338,024,454,663,324,354,019,385,828,335,233,934,935,500,
925,158,368,131,004,103,654,549,724,722,199,467,186,080,955,530,288,192,159,
816,313,690,259,065,253,719,057,460,449,778,043,798,536,484,631,446,024,644,
377,877,833,300,970,143,624,925,428,119,515,745,889,117,851,577,227,202,734,
879,370,531,587,562,606,739,681,791,001,993,057,949,178,412,854,549,557,291,
857,539,578,204,979,038,022,569,688,870,543,897,811,979,869,312,577,507,705,
201,521,751,201,971,018,473,972,007,614,208,961,795,838,893,788,055,976,113,
546,768,231,167,626,798,725,666,639,326,321,478,940,767,784,936,340,550,322,
368,219,183,271,588,471,455,047,429,082,609,370,293,549,208,046,756,395,250,
687,450,684,159,430,518,519,028,684,070,485,927,031,753,607,529,058,636,123,
283,282,970,659,640,404,235,939,573,975,861,857,962,452,176,879,483,623,440,
532,686,028,138,323,826,334,375,034,848,631,854,232,379,829,106,170,487,082,
643,626,434,575,974,227,144,530,746,296,950,841,918,147,364,968,119,083,934,
857,897,338,712,448,479,507,574,923,342,191,308,557,232,048,771,535,524,190,
248,812,647,267,210,444,832,422,035,008,895,538,379,189,364,334,750,726,600,
564,064,932,970,695,762,314,347,733,031,938,579,258,896,751,599,294,344,849,
401,546,069,009,079,380,803,687,325,562,781,029,538,440,397,547,738,051,748,
122,543,923,198,445,122,428,948,314,089,694,778,285,649,762,561,754,703,914,
371,886,873,899,557,024,514,805,645,011,218,455,397,191,389,271,867,019,875,
756,144,771,510,095,864,453,048,598,650,425,835,780,950,639,159,580,277,487,
120,000,941,358,933,686,804,450,340,196,495,537,067,396,039,309,406,780,507,
963,828,886,740,034,427,330,793,470,754,649,973,662,236,925,033,396,544,246,
242,668,148,262,121,886,638,611,369,916,437,484,447,165,058,484,652,825,663,
669,264,593,320,859,688,788,048,948,941,811,862,962,576,377,539,726,893,387,
097,366,630,953,708,095,568,283,579,840,878,227,643,762,791,616,212,850,806,
718,875,256,550,471,369,203,395,256,026,860,533,458,598,540,574,151,779,772,
234,907,495,345,558,732,817,843,588,890,100,436,684,388,005,827,843,981,836,
085,680,426,590,732,565,907,230,585,236,354,842,851,877,741,687,337,271,295,
887,609,878,209,085,195,561,473,226,560,374,550,637,612,919,538,169,828,913,
993,404,774,858,349,282,075,889,196,729,191,616,782,964,063,148,559,100,901,
598,062,431,949,765,157,093,873,649,828,768,883,136,943,105,915,725,896,602,
470,426,541,364,383,343,617,704,813,683,396,927,745,626,620,991,969,479,006,
402,380,137,475,591,299,507,154,170,523,895,988,255,385,475,784,320,375,250,
395,385,265,851,792,222,580,125,925,431,514,916,982,901,686,535,036,671,996,
220,550,629,003,983,656,641,715,703,897,215,600,414,658,179,844,201,214,440,
802,447,093,641,470,092,639,714,724,675,835,191,411,163,729,904,827,755,833,
632,202,309,429,454,460,729,780,145,866,905,002,521,284,514,497,642,110,085,
822,349,495,923,622,120,113,090,619,064,722,708,859,157,681,955,125,575,296,
382,872,982,125,347,116,728,579,109,820,673,748,647,036,301,551,170,858,017,
848,541,160,052,259,181,923,133,876,555,551,305,713,411,741,598,388,256,588,
649,087,099,812,591,879,041,678,799,225,259,144,682,097,048,031,301,890,634,
861,108,805,636,798,836,014,878,483,986,990,455,396,518,587,921,289,063,042,
421,703,664,074,178,563,456,508,097,877,085,823,594,607,314,243,138,248,037,
192,426,696,842,531,666,972,629,773,778,873,547,185,393,463,935,355,028,633,
753,898,967,813,313,555,486,242,473,100,584,110,843,399,333,843,351,030,106,
810,514,921,363,891,612,393,924,063,818,871,110,044,590,129,677,155,952,649,
064,487,291,237,208,992,061,843,418,180,821,961,612,083,186,959,548,283,199,
563,997,267,416,575,978,948,364,000,465,828,994,181,050,646,592,091,731,243,
119,173,261,516,760,229,429,607,154,736,575,122,308,249,426,270,461,022,162,
930,465,621,911,742,189,334,015,205,880,739,755,101,085,046,435,483,539,205,
393,947,645,063,057,429,344,657,143,124,212,630,861,996,159,409,272,660,804,
047,411,963,859,426,679,249,792,734,081,088,852,101,178,178,490,960,387,030,
149,246,882,554,078,267,133,785,998,044,387,213,787,112,214,943,796,142,073,
024,312,947,615,894,241,155,230,071,813,143,404,324,974,799,034,808,303,056,
680,204,017,393,471,669,735,551,144,503,765,615,049,507,427,767,743,101,743,
615,458,282,923,022,866,367,818,949,605,388,299,980,744,442,938,058,312,477,
230,020,409,781,573,219,962,671,226,653,875,574,578,580,582,881,970,497,421,
096,022,331,046,639,422,473,278,933,025,401,706,833,301,129,701,366,882,522,
214,255,011,315,701,572,659,078,102,636,964,432,781,056,471,540,040,336,897,
700,640,815,013,899,590,057,261,839,847,555,746,309,486,116,173,082,339,044,
040,150,546,755,066,971,170,861,690,078,655,936,057,032,831,266,300,047,379,
581,645,942,060,238,592,256,567,263,790,110,576,890,538,348,894,168,963,302,
578,605,647,418,725,064,721,311,637,715,884,082,818,979,657,668,264,575,978,
653,485,901,384,535,451,941,428,753,832,015,253,010,960,179,375,474,896,416,
343,422,954,677,622,567,283,274,251,974,063,399,030,547,925,289,890,964,311,
744,855,071,850,320,608,829,346,647,740,929,071,141,732,058,855,499,701,754,
952,359,436,688,651,537,099,893,730,446,911,252,475,667,994,353,766,579,520,
941,727,537,627,679,276,639,734,410,543,140,310,860,529,595,302,800,005,890,
166,350,357,053,089,143,438,487,949,801,201,888,933,987,074,095,215,664,401,
722,680,464,748,096,243,983,422,743,571,563,570,622,132,055,488,404,338,744,
648,528,474,427,406,882,815,265,815,861,861,633,232,746,868,940,661,614,586,
627,945,573,998,449,609,379,275,978,755,465,329,759,650,128,175,406,238,952,
889,419,504,241,622,776,689,679,209,192,719,248,757,242,792,419,816,230,072,
283,121,914,557,453,892,328,735,420,614,990,091,513,042,703,418,717,615,903,
893,028,056,769,288,192,802,496,259,332,920,069,967,461,764,135,690,230,243,
035,440,150,500,292,136,961,522,520,369,573,381,082,591,283,306,184,752,503,
728,309,714,193,079,594,847,206,045,182,174,433,585,487,870,329,016,498,648,
704,083,201,322,822,099,742,253,824,495,799,560,098,000,980,023,500,088,731,
204,618,044,122,524,842,217,939,974,181,207,628,940,733,577,612,249,181,525,
985,318,040,991,853,721,500,923,119,019,868,992,062,018,694,137,227,360,660,
938,348,351,708,317,373,285,979,511,019,203,942,741,388,344,168,337,696,413,
972,744,039,109,432,348,101,779,771,166,156,856,851,916,760,972,666,267,734,
619,869,222,857,695,383,630,828,050,580,806,479,232,403,387,819,091,458,967,
708,172,590,779,309,537,875,461,015,841,158,274,933,068,348,174,030,029,120,
791,643,638,751,299,078,541,884,042,095,673,207,391,442,120,465,923,244,354,
468,727,533,959,868,645,635,445,702,627,201,813,724,709,752,827,200,034,489,
229,671,335,794,646,727,526,308,622,540,943,468,639,420,449,281,546,391,773,
782,135,891,408,744,246,903,884,780,072,325,627,221,454,728,736,386,464,361,
761,893,781,768,471,142,494,086,469,054,168,910,981,962,162,598,692,990,088,
007,288,622,442,735,895,948,185,199,182,606,050,872,266,416,586,697,258,824,
531,446,002,237,444,372,682,916,407,759,280,666,132,294,886,073,234,405,934,
109,510,867,647,032,972,359,886,928,900,586,362,132,489,125,126,336,353,728,
549,862,921,631,231,525,130,892,897,600,619,929,756,509,901,576,285,780,594,
860,239,516,310,037,987,146,825,870,880,399,635,585,415,007,605,999,064,506,
370,746,857,369,193,998,631,403,404,020,375,393,525,032,177,222,113,581,459,
013,561,944,794,931,623,100,275,516,294,843,628,892,091,644,084,981,550,833,
170,952,593,322,398,992,435,924,247,961,417,347,067,959,027,867,993,785,144,
399,970,059,311,033,165,357,858,529,995,939,393,457,131,943,424,613,932,502,
129,705,407,866,811,225,149,312,240,035,397,860,785,777,258,773,586,712,178,
512,916,074,112,408,165,448,994,005,082,374,413,307,589,350,768,180,096,176,
608,731,339,290,564,579,753,192,439,872,665,584,129,836,290,937,441,145,860,
589,201,855,009,736,151,254,350,290,920,616,869,720,340,141,753,081,736,344,
480,686,747,998,031,925,709,386,386,083,946,909,804,591,925,781,175,174,912,
980,579,511,892,062,709,825,283,380,260,034,185,989,538,060,525,785,170,181,
879,578,036,013,740,470,694,196,188,796,485,174,895,030,261,449,695,831,828,
379,091,062,828,707,930,780,391,299,358,364,026,615,129,859,844,742,692,573,
062,099,161,979,151,081,409,423,771,250,153,962,187,602,003,299,695,123,804,
761,652,285,867,529,208,083,449,581,800,725,562,874,918,730,321,139,397,303,
368,376,425,656,417,674,986,047,032,355,244,282,025,228,314,893,061,236,838,
559,370,898,981,269,709,007,904,137,635,353,800,166,492,353,706,345,306,065,
355,447,187,223,504,020,108,289,720,260,228,025,529,366,845,189,639,909,974,
522,047,906,726,487,074,063,601,251,864,263,796,806,425,947,187,509,316,529,
526,958,325,291,694,053,217,898,409,584,056,932,780,660,880,387,366,218,274,
823,822,677,193,597,614,226,166,807,103,075,752,197,846,751,983,279,112,960,
092,317,032,887,175,791,658,834,078,239,109,128,575,922,793,215,910,358,657,
704,993,204,182,601,972,402,639,890,755,323,910,631,967,198,704,861,104,614,
024,343,966,725,578,438,627,767,442,535,574,004,762,803,295,335,621,683,394,
158,064,269,188,244,156,688,406,397,635,795,702,322,297,428,250,026,601,096,
549,266,715,086,903,279,058,189,897,696,155,674,432,751,625,376,962,332,848,
963,483,946,150,376,156,784,262,261,127,827,569,899,321,520,291,984,143,878,
361,852,422,248,209,783,713,467,416,295,185,971,891,980,815,778,292,433,760,
195,584,445,889,414,095,949,390,330,534,107,531,999,210,683,981,921,990,012,
708,871,603,132,841,952,882,023,287,263,691,027,095,766,395,871,772,276,446,
001,016,071,690,822,240,824,358,087,454,380,127,026,856,175,652,245,440,548,
380,469,225,443,706,355,655,429,860,013,748,351,135,277,059,377,254,172,766,
211,086,049,985,971,951,990,492,093,362,653,804,293,654,039,211,492,656,819,
042,172,481,501,935,890,093,729,803,494,436,563,977,610,122,903,342,287,071,
169,339,084,481,447,747,964,625,986,585,157,671,975,106,134,348,187,356,077,
586,193,431,769,749,708,620,665,663,745,685,930,106,297,708,269,661,981,504,
819,131,283,862,429,981,689,410,836,979,360,959,226,852,120,994,212,452,354,
637,617,994,447,833,711,758,305,297,706,208,374,172,024,453,487,256,154,297,
772,187,286,365,596,527,389,224,844,542,886,374,209,697,097,688,650,186,484,
764,708,883,672,600,834,796,174,900,850,060,718,216,005,625,375,275,177,190,
321,561,775,533,804,427,778,640,466,097,590,092,128,224,444,037,304,793,445,
235,862,906,038,088,726,448,277,857,374,915,717,218,021,145,659,956,590,358,
255,652,241,619,611,547,111,206,287,237,953,219,261,547,171,075,188,176,909,
632,931,722,301,189,339,210,593,564,746,653,003,803,531,829,704,981,281,817,
374,098,662,254,838,910,764,087,744,599,339,286,563,105,188,741,069,732,327,
814,157,520,876,694,367,233,974,089,462,002,346,038,976,385,287,047,860,681,
019,997,231,074,469,606,906,994,804,642,031,960,670,048,074,654,473,186,374,
244,152,681,332,865,466,544,354,311,249,498,530,341,178,444,548,635,763,114,
929,190,453,824,674,615,812,799,381,437,004,067,062,723,995,062,908,251,944,
089,802,923,193,543,711,493,880,193,724,359,329,871,972,710,082,133,070,034,
350,464,182,838,232,059,218,614,763,627,168,923,619,131,203,483,130,212,290,
387,333,299,487,494,830,021,450,277,524,260,053,926,481,116,012,456,425,657,
278,960,051,939,677,635,308,664,614,118,525,033,958,942,996,722,285,301,963,
392,742,730,210,445,098,379,497,290,022,264,748,384,747,844,498,789,128,656,
654,797,113,861,654,395,723,802,132,551,571,087,602,916,277,031,754,250,040,
353,030,112,235,235,476,171,499,954,885,457,024,196,695,306,364,492,566,866,
723,383,897,714,189,332,593,628,329,536,182,467,759,300,213,860,627,240,326,
825,772,538,582,708,961,558,575,971,744,049,492,688,474,661,819,763,797,020,
967,441,100,804,766,263,890,160,138,603,299,208,090,999,681,334,515,900,107,
908,059,342,122,373,421,161,018,426,091,763,979,998,470,691,726,493,774,595,
437,403,962,048,434,852,050,752,695,221,105,292,587,169,181,559,957,656,527,
242,343,647,595,534,732,901,368,784,143,918,141,557,491,078,198,144,497,941,
631,131,079,072,819,572,756,454,294,236,448,335,101,819,657,779,688,421,052,
513,122,449,516,169,742,294,789,859,605,129,543,895,308,976,665,780,293,656,
773,658,344,328,415,645,799,188,226,304,380,628,351,799,023,248,482,847,467,
548,827,921,000,778,765,598,434,472,721,173,880,665,299,823,963,489,422,650,
033,957,818,846,578,364,631,092,086,964,790,843,249,690,609,979,305,177,735,
184,279,780,566,632,187,698,895,075,233,995,855,455,079,294,043,956,383,695,
055,931,591,013,285,807,503,035,372,398,828,260,499,925,613,886,963,429,763,
415,308,950,169,420,687,794,128,112,053,270,096,801,331,980,206,338,574,673,
897,850,327,717,864,236,524,289,653,771,333,679,571,855,864,488,498,638,739,
757,723,331,071,196,253,036,364,312,948,289,811,126,880,789,456,374,295,692,
513,254,283,901,572,473,380,717,236,135,798,232,161,007,734,271,895,641,084,
888,825,708,462,500,954,796,217,187,305,657,740,847,220,944,868,193,792,633,
729,098,638,484,793,907,352,368,191,673,874,968,448,844,001,092,183,093,345,
349,765,549,925,414,520,260,410,279,817,881,898,477,231,043,957,851,601,368,
380,907,599,798,118,253,300,571,798,925,925,691,935,714,689,451,754,099,319,
296,756,599,560,835,425,269,494,820,336,402,551,644,288,669,188,687,777,751,
035,009,409,717,888,671,223,747,125,826,245,051,260,704,901,772,743,200,916,
701,735,522,778,943,858,028,245,756,163,748,320,843,585,705,565,706,935,551,
393,565,334,625,509,026,961,515,631,695,416,625,119,206,815,821,695,982,655,
363,373,027,144,436,875,541,499,105,213,778,371,884,371,079,352,835,555,784,
393,289,633,857,637,769,033,756,917,926,976,855,596,393,698,356,527,824,477,
255,681,843,880,829,001,982,762,725,423,949,590,337,461,577,211,826,506,093,
907,584,727,301,235,486,622,242,610,615,862,649,072,137,786,830,377,797,736,
799,721,777,713,550,735,995,978,103,651,698,547,783,018,572,885,279,423,754,
713,312,233,234,729,972,160,896,439,652,641,962,456,496,259,843,098,995,042,
774,904,936,190,851,870,900,218,646,308,191,663,366,143,721,556,838,441,451,
765,186,820,548,038,507,768,077,217,330,743,769,544,872,228,679,009,382,226,
477,295,134,994,167,186,617,615,428,308,002,472,848,765,459,224,318,574,423,
730,584,298,768,804,021,287,779,153,815,510,662,227,090,743,250,664,979,601,
304,067,779,119,886,736,242,813,833,414,761,595,509,923,955,985,332,845,318,
361,000,069,067,380,906,696,486,678,427,364,607,570,143,155,858,533,847,846,
417,307,659,687,201,596,327,779,380,785,124,419,378,544,443,464,400,639,156,
288,158,366,341,238,495,291,680,403,635,272,561,679,380,136,911,812,372,482,
786,315,172,326,455,434,152,695,820,909,027,918,890,728,502,118,900,873,249,
099,829,318,820,617,468,579,103,324,049,920,165,940,179,533,217,904,231,967,
747,735,982,071,621,239,958,826,546,560,803,891,492,488,617,002,570,273,118,
230,274,966,325,599,293,924,947,071,884,084,116,660,084,242,986,496,315,703,
529,780,159,782,270,145,985,539,479,460,453,659,755,718,281,807,168,422,236,
864,864,297,327,710,593,285,584,786,925,066,891,058,256,794,175,569,109,497,
410,815,810,065,788,602,890,522,158,742,834,306,250,798,179,272,247,474,174,
890,370,652,528,083,109,059,128,257,186,043,439,943,446,944,548,287,224,636,
847,010,298,108,986,660,310,720,530,062,860,905,249,887,107,988,632,637,997,
880,092,905,111,722,560,233,250,567,019,013,540,953,348,504,191,798,678,820,
983,448,225,892,564,282,882,266,738,497,367,525,817,175,137,591,662,900,953,
085,851,110,883,278,677,731,017,560,178,764,938,391,701,627,924,716,176,972,
215,222,163,951,305,737,101,651,568,965,912,291,753,384,212,001,829,127,375,
595,378,161,424,543,352,412,390,926,429,349,863,341,910,552,730,193,715,603,
760,189,384,203,020,389,101,448,548,262,777,098,261,548,857,741,326,146,136,
472,231,218,073,094,155,151,058,485,408,840,998,933,638,014,975,589,305,995,
025,119,149,240,016,838,703,340,892,036,230,648,113,398,185,165,918,115,223,
708,253,935,902,862,477,755,970,727,386,712,014,851,376,016,652,788,272,673,
997,917,055,532,802,733,181,809,397,991,254,098,359,334,022,711,751,413,378,
148,835,565,204,199,839,176,207,420,361,438,761,345,552,747,606,834,256,645,
127,858,882,774,564,082,016,967,283,597,969,848,562,103,690,674,289,457,946,
283,817,961,066,299,437,523,056,186,164,068,629,684,190,129,446,851,366,080,
742,503,883,373,660,187,880,458,623,820,512,545,420,596,494,865,364,890,425,
967,401,826,428,580,949,822,604,092,443,285,457,018,421,166,557,560,506,454,
811,448,251,184,660,157,808,547,451,737,639,492,802,873,294,410,055,550,357,
901,205,909,567,927,009,130,494,453,809,023,401,291,812,856,876,416,678,067,
407,239,719,279,842,337,378,572,129,245,620,003,437,040,849,702,350,193,639,
461,572,422,561,045,834,082,539,373,002,644,907,880,802,939,508,560,410,842,
979,201,595,329,772,250,986,550,309,777,846,852,188,189,057,908,377,595,297,
583,619,088,244,430,006,386,834,205,295,595,040,183,869,200,548,437,904,107,
438,354,723,538,318,582,492,992,898,524,013,935,463,634,806,946,270,480,343,
988,483,584,224,149,351,008,236,521,040,759,808,562,034,674,008,183,412,380,
192,853,354,130,344,601,640,923,874,703,814,252,954,586,364,694,895,546,571,
195,016,303,269,543,248,352,356,276,070,558,543,722,751,416,481,286,049,814,
387,886,880,401,822,750,635,485,274,681,636,576,981,744,502,311,096,308,067,
709,748,557,973,431,177,135,102,036,949,963,586,579,731,939,745,732,589,683,
261,282,090,991,762,564,271,598,124,197,500,277,906,796,413,822,497,003,951,
627,132,284,957,704,053,805,653,654,568,853,057,889,875,798,174,701,139,701,
629,367,026,911,711,103,716,713,049,254,050,345,749,885,779,660,965,464,201,
219,249,115,854,414,717,559,523,374,075,985,403,183,843,654,864,461,794,873,
057,986,257,705,034,629,201,046,801,488,430,885,271,017,572,999,374,389,005,
731,685,417,840,849,569,302,324,819,655,810,016,679,221,783,779,254,797,565,
690,435,687,823,524,517,412,807,715,398,215,325,249,178,359,439,820,504,175,
861,750,211,137,858,150,638,949,466,793,293,182,949,039,643,235,136,712,823,
294,439,715,499,373,205,812,961,744,052,745,625,663,509,038,422,678,517,333,
150,029,457,517,046,571,594,685,498,492,353,123,070,973,372,229,642,794,633,
602,743,446,597,611,955,884,180,805,660,555,987,542,815,844,475,998,105,782,
881,727,022,935,371,451,835,874,595,552,191,892,355,623,068,220,242,012,207,
548,837,764,114,735,294,523,312,046,182,044,637,799,560,216,384,529,685,676,
365,490,810,408,094,241,401,679,058,291,251,554,405,809,695,209,434,153,276,
545,759,913,475,974,180,030,196,215,985,802,222,600,604,773,467,033,025,713,
233,239,029,515,811,612,916,953,019,215,535,726,808,850,415,509,181,344,160,
718,519,806,716,252,973,845,708,197,040,031,423,903,749,809,864,905,118,267,
951,054,774,346,530,288,867,998,499,626,002,807,216,712,557,830,457,853,639,
695,940,843,713,215,745,865,497,586,635,731,647,928,379,675,629,539,219,695,
207,920,091,856,121,773,860,158,248,422,076,945,334,218,243,018,253,192,147,
806,210,577,501,780,476,840,889,863,487,585,948,864,881,410,069,314,311,617,
818,122,907,387,980,791,736,749,435,509,887,638,994,747,390,814,361,706,862,
967,801,784,386,302,607,033,359,091,527,103,005,399,849,148,145,775,893,056,
901,989,592,675,611,457,672,509,823,483,173,829,174,883,930,618,454,987,182,
375,881,638,292,766,581,798,268,701,770,571,861,890,073,051,540,360,219,962,
967,827,983,763,539,832,857,482,792,992,353,472,501,220,582,411,784,042,495,
295,526,425,269,883,702,373,761,739,166,399,330,660,130,993,333,390,863,790,
377,284,384,337,318,435,869,777,297,646,017,362,043,862,214,778,941,126,471,
907,031,376,542,914,364,018,572,270,164,315,962,542,667,157,689,066,421,085,
028,957,915,353,825,063,686,512,336,570,726,320,651,788,874,586,653,575,875,
433,109,159,610,985,120,596,650,022,038,798,358,476,050,710,842,644,668,023,
552,147,481,122,469,208,582,211,452,401,775,328,371,575,187,279,408,803,509,
122,010,264,844,560,561,335,627,023,391,665,857,375,667,869,292,317,768,321,
405,258,281,027,515,141,985,856,528,282,326,469,654,560,659,113,510,642,129,
122,922,849,825,837,565,239,602,029,462,363,714,639,285,183,867,366,977,939,
328,093,392,413,905,370,433,461,436,062,265,639,335,879,068,309,013,042,604,
088,653,317,952,144,792,457,980,188,699,410,184,240,064,454,428,517,123,900,
627,910,582,490,542,340,854,419,656,919,399,817,814,201,967,408,179,432,829,
455,610,003,716,960,927,000,009,143,090,253,630,047,960,100,152,588,321,337,
551,828,891,903,399,442,249,659,186,909,127,704,085,237,327,296,271,285,714,
255,188,994,626,268,033,623,577,247,544,760,476,904,861,062,067,929,305,180,
872,608,677,206,764,015,514,837,759,282,915,371,393,363,115,443,797,724,823,
890,863,570,777,160,646,528,718,919,818,304,940,866,406,772,478,302,286,438,
786,582,064,047,180,775,842,428,006,175,817,443,996,006,701,706,776,894,683,
305,498,794,366,425,445,971,405,267,419,209,163,516,309,180,815,035,023,755,
553,456,661,735,861,918,231,410,679,673,066,399,490,262,044,123,071,999,743,
684,564,681,972,131,640,451,652,869,126,439,819,122,979,923,995,574,583,927,
793,906,212,183,871,796,168,769,486,295,141,086,366,057,076,672,170,346,236,
340,976,896,941,083,982,015,591,128,332,711,318,470,627,362,149,214,006,792,
383,066,706,502,085,186,095,030,720,948,782,593,171,442,823,371,399,413,917,
322,028,987,617,659,316,132,283,124,656,825,968,325,158,229,024,857,650,260,
551,632,429,465,822,015,815,266,297,330,890,851,362,369,011,815,839,176,611,
413,931,741,978,671,961,802,407,635,762,254,777,522,769,774,456,828,029,313,
767,297,977,050,538,849,556,367,534,623,579,155,779,727,050,678,000,524,502,
166,123,891,567,960,570,348,254,134,819,326,662,396,834,493,019,783,976,550,
590,989,364,773,579,826,238,618,774,136,919,913,088,508,157,209,234,171,169,
508,703,060,034,730,464,786,504,494,910,463,425,270,186,535,576,581,669,627,
437,001,522,824,143,355,669,709,739,677,397,080,640,140,505,215,072,076,701,
061,292,238,929,444,771,129,092,891,508,472,808,965,554,031,339,867,858,632,
099,161,806,989,171,037,557,379,044,282,229,492,917,390,124,217,664,514,949,
303,742,942,594,158,832,103,815,924,681,235,461,220,335,692,808,607,964,723,
176,499,187,696,968,462,918,612,761,976,369,844,246,809,225,103,106,663,714,
464,150,728,773,917,727,877,067,974,885,357,368,933,381,189,484,460,350,277,
313,265,413,024,749,169,542,475,058,429,715,474,561,594,604,728,342,432,495,
301,707,012,787,383,777,530,398,361,663,720,981,543,179,288,397,176,095,492,
592,660,200,241,904,537,217,627,428,471,384,224,268,560,446,012,760,498,732,
731,948,463,557,488,330,665,741,579,371,781,847,333,139,732,136,296,457,338,
368,455,977,212,670,396,375,300,360,627,644,486,733,564,584,823,799,711,382,
543,339,036,557,845,335,670,385,316,504,387,996,199,053,311,491,998,318,751,
906,906,648,335,758,537,740,811,387,383,287,271,833,958,639,768,558,879,670,
486,045,406,096,609,277,225,415,103,178,504,084,542,522,395,760,593,972,428,
769,128,800,404,479,788,547,770,026,264,573,235,407,420,129,700,565,245,731,
416,928,445,855,392,367,602,554,323,619,023,236,157,907,716,212,543,280,666,
520,074,043,983,858,130,213,887,516,369,171,623,292,531,642,031,510,169,866,
278,622,926,342,710,247,572,798,868,856,748,307,536,784,349,162,203,822,504,
390,773,356,958,750,320,223,717,141,573,162,787,311,196,913,702,238,776,907,
630,643,976,198,768,552,748,548,052,709,740,426,162,702,490,008,266,247,875,
981,136,462,472,940,072,813,496,082,728,239,405,313,483,728,512,347,861,034,
850,769,777,842,749,207,009,683,275,942,191,174,308,069,595,053,681,451,442,
709,121,332,139,597,799,500,773,026,123,105,964,254,532,437,059,867,858,607,
443,684,144,289,707,322,847,684,358,678,813,500,174,109,677,589,735,696,093,
461,960,342,980,664,023,397,370,169,025,742,850,472,652,773,651,427,938,755,
406,220,966,511,089,687,200,937,681,925,094,364,152,257,786,576,627,359,746,
726,951,640,600,598,233,182,068,028,543,878,617,453,319,644,270,874,297,987,
245,522,170,504,058,452,887,066,987,288,667,448,988,075,524,068,781,438,950,
207,131,358,840,467,887,326,050,814,080,355,073,934,049,419,581,178,718,174,
474,676,355,297,592,687,122,920,789,092,042,376,084,259,278,374,601,666,466,
621,429,940,460,054,850,783,627,952,893,050,721,408,352,334,437,503,434,101,
523,383,770,727,114,849,420,999,794,035,648,003,595,289,697,673,058,016,308,
516,089,203,028,912,291,484,173,630,040,236,287,992,846,371,562,374,126,477,
189,934,455,981,734,040,044,037,654,482,784,809,628,319,485,716,650,081,492,
705,021,834,068,540,304,741,510,440,475,415,285,838,747,508,418,394,438,029,
486,556,192,413,524,817,281,513,104,540,916,046,151,117,828,394,342,576,724,
510,201,089,858,164,123,352,762,805,625,919,332,551,287,600,635,013,347,944,
667,880,730,694,097,009,664,480,686,446,149,333,894,116,401,404,609,185,265,
225,722,794,321,754,142,455,343,196,053,836,972,172,166,834,381,276,425,725,
767,334,317,430,594,649,470,760,215,095,988,397,531,145,565,144,511,063,025,
606,004,697,370,353,090,405,099,685,472,360,916,278,903,277,346,750,641,449,
503,376,152,869,227,361,257,551,627,007,092,975,832,254,168,975,622,010,255,
995,769,526,557,705,376,579,830,441,380,951,812,946,318,353,991,858,827,402,
203,403,076,201,556,122,584,210,067,421,099,690,111,160,440,572,076,760,177,
973,176,978,066,948,808,049,346,837,734,876,592,106,134,581,336,922,049,249,
524,180,900,843,064,921,542,098,853,866,128,165,098,566,526,925,591,102,404,
929,217,538,338,060,009,325,197,689,352,131,873,076,522,770,676,262,810,996,
550,767,915,580,822,977,060,723,873,070,260,111,515,982,001,167,384,615,025,
660,358,783,303,879,642,683,573,050,126,163,348,296,863,474,367,094,332,697,
622,759,976,706,068,884,378,127,377,691,814,725,661,651,612,075,321,327,596,
752,334,169,657,755,094,158,546,702,513,549,355,757,859,020,132,856,514,865,
928,952,617,433,133,808,486,700,571,088,224,731,869,693,153,003,671,582,626,
055,096,547,634,287,806,393,093,787,962,700,546,022,971,932,703,018,304,978,
557,937,568,182,050,321,230,336,722,180,326,728,113,073,890,901,229,404,438,
948,794,466,543,356,892,604,371,721,026,501,929,095,889,872,411,046,966,289,
721,319,463,633,693,821,337,715,555,649,965,998,078,315,568,017,535,538,772,
535,169,124,783,853,188,120,670,364,838,461,025,749,653,169,812,568,995,627,
087,047,296,360,800,322,728,871,611,597,545,527,411,266,456,489,439,794,369,
739,030,669,580,782,613,165,741,319,902,166,909,576,719,621,532,269,577,368,
446,774,758,073,047,990,300,863,550,229,756,868,200,328,841,161,519,610,169,
304,970,337,566,769,001,843,505,818,738,672,788,285,540,228,415,752,636,311,
386,779,864,790,764,989,207,364,705,516,127,404,346,444,354,514,156,627,690,
522,320,284,550,132,159,001,089,620,019,281,049,368,442,848,315,730,712,988,
223,666,640,824,711,880,442,219,710,155,270,377,447,712,200,574,679,888,222,
965,501,262,199,589,133,508,334,341,282,880,621,927,859,695,705,733,398,485,
660,822,012,439,600,793,687,531,958,785,226,055,859,271,915,981,947,058,730,
028,501,648,511,416,764,717,114,617,663,615,092,253,377,224,346,582,535,820,
965,454,242,251,016,243,369,894,077,272,199,456,396,214,868,727,867,085,693,
852,619,092,299,965,691,804,231,495,533,511,197,595,403,128,740,415,849,676,
246,361,056,468,196,036,810,217,473,029,712,086,445,978,156,222,121,012,052,
370,262,605,126,033,645,648,686,883,319,102,492,177,451,586,064,180,005,738,
962,208,905,266,246,573,878,481,172,634,598,634,250,347,645,782,827,692,033,
588,579,901,959,362,153,694,613,928,907,505,288,022,989,928,846,431,238,800,
042,674,555,173,142,345,324,432,865,529,849,628,522,506,512,439,646,476,665,
909,803,358,086,144,363,821,496,732,918,225,769,261,589,151,639,636,989,361,
282,848,522,279,564,908,450,455,721,567,232,214,632,903,098,849,876,925,062,
183,206,264,232,363,653,457,527,206,634,428,743,589,293,506,308,667,595,358,
054,607,424,207,682,559,639,564,010,067,189,595,455,638,300,358,539,575,297,
855,386,554,176,886,353,379,685,323,344,744,859,489,834,807,499,688,868,113,
597,471,983,174,047,006,821,810,098,225,892,380,210,660,937,364,219,505,488,
351,984,533,509,160,768,228,358,361,707,722,042,114,833,040,539,606,370,096,
485,332,929,524,328,370,801,691,691,979,536,221,575,536,145,220,804,464,983,
539,601,602,549,573,589,746,667,960,754,553,786,149,278,570,672,161,833,672,
721,031,510,608,613,941,027,338,566,495,167,965,100,808,145,146,989,702,496,
334,468,701,486,982,829,325,775,733,350,882,379,918,155,825,995,972,671,131,
267,550,375,787,105,366,559,275,684,471,019,649,137,425,077,273,809,164,775,
853,295,531,471,718,749,471,261,488,363,264,650,053,521,711,127,754,914,864,
541,493,799,496,977,562,394,259,879,755,515,981,197,617,929,226,240,105,416,
092,235,945,316,852,228,484,185,450,254,695,742,940,912,627,133,408,745,099,
308,789,193,691,195,573,370,684,373,435,112,826,904,980,215,562,444,351,771,
744,109,250,362,898,773,185,933,495,967,166,638,097,949,559,527,442,809,239,
200,598,937,009,307,430,154,515,611,738,630,334,820,190,743,602,899,414,157,
129,048,020,315,865,235,086,830,836,733,451,833,736,228,229,862,736,102,154,
742,906,357,387,730,853,796,981,165,668,862,819,372,501,853,568,152,638,845,
384,599,638,514,151,224,970,827,963,345,892,740,010,555,842,477,145,568,224,
765,938,459,868,837,906,884,381,311,959,048,954,549,200,950,465,119,067,933,
910,273,849,702,258,983,434,962,911,827,051,152,039,694,885,151,461,280,429,
418,241,846,532,110,769,968,550,572,129,358,480,209,095,190,656,591,116,237,
355,946,793,477,136,880,033,898,901,033,283,135,248,653,005,396,428,239,133,
310,688,438,915,157,703,484,138,232,297,123,923,234,533,855,659,634,867,595,
968,477,683,845,384,207,260,484,661,837,576,106,842,809,181,379,773,091,315,
872,666,748,186,417,653,386,643,174,675,625,343,924,270,610,134,715,256,057,
573,707,104,954,486,411,556,747,918,548,246,891,500,546,193,684,387,439,183,
068,088,211,657,483,251,970,001,124,580,682,448,979,177,453,835,516,084,858,
601,265,844,880,156,401,633,106,503,272,743,955,913,525,704,739,474,203,118,
906,110,764,477,713,069,339,378,618,651,125,114,861,090,111,099,739,213,069,
364,472,955,421,099,521,071,634,496,969,326,699,101,749,937,532,960,701,275,
186,851,005,678,621,018,507,524,365,831,231,331,351,095,138,718,643,454,520,
198,063,142,704,361,506,874,566,738,004,386,321,881,643,956,776,075,719,195,
630,662,274,346,595,369,566,325,096,134,668,182,431,846,963,900,916,583,386,
180,769,879,593,318,484,474,048,059,836,595,226,639,580,707,644,176,333,287,
723,736,645,080,477,698,691,414,217,731,085,319,909,145,731,122,036,544,638,
828,052,761,669,854,396,181,531,442,445,343,210,901,307,434,953,499,596,706,
838,421,778,156,343,685,082,434,018,615,682,837,751,376,830,585,158,612,438,
316,589,129,286,447,183,820,136,435,826,339,972,744,271,943,908,118,488,686,
898,011,622,066,512,506,203,693,991,055,450,840,905,759,993,009,969,113,773,
865,801,909,335,237,023,379,427,365,245,497,986,479,066,847,467,791,383,917,
568,107,232,168,516,184,729,394,924,016,354,528,825,131,021,732,514,643,874,
273,505,434,261,749,630,907,878,033,880,166,984,674,166,823,958,956,307,811,
396,893,516,644,475,957,476,849,885,610,407,720,069,299,167,025,815,313,676,
114,444,860,892,596,990,189,678,430,745,270,536,278,140,360,667,599,235,509,
755,038,240,774,951,974,706,737,660,062,794,387,431,894,806,099,680,363,583,
610,827,728,654,477,543,668,563,073,053,120,782,944,136,062,761,631,241,585,
039,683,274,134,835,168,108,074,680,701,510,916,754,640,907,843,579,616,402,
958,649,307,817,642,251,410,868,807,330,398,017,368,026,632,262,291,948,019,
393,225,485,618,255,668,114,746,082,028,408,440,155,392,491,896,901,430,747,
632,748,242,682,644,193,793,717,241,666,568,230,184,926,114,799,021,132,875,
137,326,086,094,785,684,712,498,777,319,847,808,139,575,642,721,047,922,739,
396,762,754,503,377,667,048,810,529,695,638,546,148,194,829,121,855,423,256,
092,358,656,589,472,874,540,531,907,037,289,693,256,853,806,063,632,329,298,
536,930,459,965,167,684,403,263,982,513,089,965,256,223,818,407,420,396,562,
946,917,592,916,369,581,655,222,979,981,270,779,475,213,662,233,883,427,774,
318,431,625,115,103,952,886,548,077,417,222,310,090,672,060,653,133,832,842,
815,942,368,878,826,083,830,517,273,366,320,213,891,811,411,002,791,898,135,
396,040,366,217,668,139,905,267,600,246,447,127,102,203,442,761,499,227,460,
542,487,133,294,487,879,142,960,024,021,510,562,015,172,717,269,384,386,496,
576,208,680,948,729,613,354,174,079,257,130,010,739,204,356,321,940,420,630,
680,706,383,810,558,255,125,001,858,453,486,028,135,670,904,195,196,592,311,
905,194,045,621,750,939,298,660,568,470,616,348,071,167,591,788,143,627,331,
243,894,621,530,638,796,177,989,278,771,794,580,734,778,761,837,670,829,289,
432,393,043,427,553,899,713,210,357,087,825,210,534,500,827,685,909,128,258,
670,150,426,886,238,339,031,573,298,153,144,182,965,388,764,090,399,310,685,
148,024,288,256,110,389,620,134,528,804,029,368,376,594,131,354,754,303,942,
665,714,348,250,042,644,044,690,313,626,573,287,180,414,086,567,207,082,750,
915,626,965,772,333,443,573,600,991,641,183,382,988,053,564,488,968,147,388,
628,015,625,333,616,094,653,034,212,013,838,842,624,600,302,341,492,994,172,
959,299,826,814,306,165,462,606,736,178,012,437,866,458,250,875,489,430,724,
397,222,690,775,903,481,014,787,202,499,272,152,287,651,612,921,766,497,322,
836,541,931,712,240,352,976,498,775,770,120,437,510,797,529,329,389,006,744,
809,793,653,077,217,119,368,301,874,025,052,541,702,066,054,609,918,107,026,
157,234,509,154,221,290,528,314,221,173,679,245,758,542,383,804,139,743,043,
835,641,352,802,120,143,157,330,856,346,409,998,945,946,283,222,522,813,166,
665,611,126,644,374,481,770,479,659,192,227,778,838,986,861,658,492,061,233,
276,240,445,698,451,431,978,940,492,674,317,252,930,270,228,969,186,379,844,
205,774,543,440,150,667,285,367,977,593,778,597,323,725,571,649,315,416,811,
697,183,904,246,892,902,987,326,388,827,853,650,995,540,357,408,778,938,333,
212,987,328,335,619,572,994,812,223,010,674,111,237,638,210,338,414,914,597,
975,454,607,601,616,908,974,848,978,665,040,607,406,000,422,010,312,727,545,
557,987,073,110,206,526,197,272,927,211,761,694,278,129,231,167,090,809,378,
134,377,150,839,101,340,703,946,152,486,517,082,233,562,052,590,773,343,470,
898,265,843,362,331,700,787,161,373,802,971,684,933,957,275,987,474,446,691,
579,403,828,909,821,764,440,015,874,152,983,894,766,854,292,408,420,500,092,
766,111,995,151,540,633,193,001,685,893,364,821,211,222,834,938,345,358,899,
707,298,238,825,526,998,277,579,783,508,086,826,168,440,414,851,177,655,180,
316,777,956,990,316,628,525,107,965,252,953,580,259,826,516,301,943,959,148,
492,783,847,176,649,389,019,045,553,137,944,907,390,642,065,919,684,331,092,
686,184,404,960,684,093,675,068,110,528,901,314,893,219,041,000,791,556,509,
413,345,852,480,346,217,932,375,711,205,251,410,213,053,985,595,155,000,023,
040,023,250,390,042,246,030,914,634,649,211,405,695,434,160,929,030,771,083,
788,657,379,051,234,216,681,039,302,477,674,986,750,446,536,161,704,357,589,
814,043,344,150,026,293,636,490,845,489,020,429,495,658,459,075,416,262,466,
120,939,287,976,101,080,758,746,001,197,747,886,231,426,924,461,142,568,956,
250,186,435,325,159,741,298,653,217,018,517,530,152,070,758,167,171,106,070,
065,076,897,247,068,858,771,955,391,285,544,442,064,213,512,511,781,777,920,
993,767,265,568,741,240,925,572,343,945,993,822,259,123,230,484,811,371,419,
721,013,253,257,398,063,494,314,582,722,540,518,356,075,031,524,282,808,814,
101,303,786,443,530,516,890,047,938,489,911,930,777,319,954,369,725,422,673,
301,902,865,912,872,625,034,079,945,450,289,391,964,033,497,879,627,936,291,
593,957,987,343,972,642,326,433,673,298,573,897,725,770,422,046,774,057,803,
918,804,271,762,521,869,221,203,201,828,541,531,250,493,885,610,052,692,033,
046,154,743,195,879,228,611,263,163,129,918,890,096,083,729,897,643,431,733,
910,577,939,163,596,849,670,098,527,391,332,657,206,804,267,926,231,140,016,
384,723,922,267,949,432,545,094,461,096,884,731,131,275,350,343,634,015,624,
021,386,292,317,328,839,212,612,276,769,087,752,382,116,721,486,017,031,117,
890,326,649,978,405,135,354,503,801,339,425,767,388,052,017,411,983,639,472,
869,183,071,040,174,760,750,690,164,150,643,945,844,165,314,557,017,903,314,
175,130,446,371,268,611,533,169,642,612,767,371,907,928,370,054,597,570,042,
964,804,177,958,833,380,142,405,681,408,706,336,040,486,523,413,619,376,209,
511,581,617,608,928,054,785,129,725,751,325,049,666,646,920,993,913,134,986,
680,119,082,024,199,507,816,283,069,408,634,916,985,094,013,807,494,883,238,
162,051,999,287,757,270,051,994,341,689,380,779,173,072,841,209,750,702,145,
611,809,306,311,833,497,169,040,576,713,022,670,315,534,917,606,512,223,214,
020,411,121,110,123,627,810,319,077,857,970,858,941,152,588,561,128,119,972,
912,909,652,533,224,810,998,745,994,261,151,755,784,403,848,233,004,545,021,
861,075,644,524,321,423,288,346,045,220,969,173,646,220,101,821,069,713,313,
218,708,099,495,994,696,515,601,198,007,569,712,211,379,786,687,322,064,612,
907,922,497,956,674,566,125,121,536,305,983,764,788,916,115,316,646,148,614,
988,048,654,933,750,671,783,133,080,760,219,563,304,577,293,915,127,327,100,
390,462,676,648,980,012,463,453,906,446,163,379,056,423,132,538,842,346,606,
292,939,797,104,952,093,263,629,264,474,991,958,869,352,517,392,642,624,682,
906,188,910,987,712,601,539,855,424,559,500,966,539,669,745,782,570,191,818,
693,297,479,593,628,159,655,486,044,210,486,094,831,899,432,779,565,647,549,
629,476,857,833,968,491,595,465,835,033,711,516,977,274,315,316,107,321,913,
881,884,219,147,963,283,068,369,801,446,168,704,975,801,746,947,271,034,712,
145,035,421,777,948,111,614,557,664,469,549,164,167,001,416,351,923,070,675,
804,663,453,727,376,703,022,348,680,963,392,722,674,292,506,325,799,332,894,
277,741,178,500,157,722,782,182,560,882,801,713,805,119,199,289,131,924,722,
069,894,852,490,573,346,244,889,876,042,024,658,475,754,850,799,185,491,566,
936,493,390,223,789,252,801,306,921,633,971,403,999,992,582,435,371,144,939,
412,121,956,681,209,377,228,737,018,528,742,775,651,466,117,528,555,008,247,
677,317,177,292,491,719,827,694,986,111,268,802,317,952,467,079,704,698,245,
326,908,215,928,515,086,013,311,527,171,446,111,274,845,647,010,958,638,727,
892,182,150,812,488,219,659,554,136,240,488,440,846,009,465,461,218,911,847,
926,504,104,428,006,012,670,408,212,373,016,582,968,041,555,471,152,067,083,
237,311,148,686,566,843,516,894,847,247,499,290,653,174,965,630,761,765,802,
415,898,464,994,066,148,213,820,708,369,855,536,266,116,757,614,070,830,357,
316,004,514,436,033,175,286,600,356,802,879,718,257,294,019,994,773,773,868,
124,514,281,689,858,686,059,766,551,747,066,990,733,484,282,715,666,784,276,
725,885,183,232,132,228,301,779,710,416,929,787,388,715,622,302,595,252,924,
821,832,288,486,648,812,806,331,113,159,010,229,719,677,022,480,207,617,026,
726,200,264,179,728,037,759,411,101,302,177,162,701,850,342,489,004,171,841,
023,102,695,601,311,901,740,372,712,309,634,072,393,246,734,736,944,765,807,
107,931,245,328,967,758,507,719,837,261,720,782,181,474,916,794,960,400,040,
497,423,954,770,289,933,083,878,639,437,823,135,981,973,998,869,624,763,749,
128,834,175,086,990,231,796,795,862,737,859,301,622,183,044,173,199,315,704,
913,518,986,218,665,480,913,137,650,712,770,988,843,745,311,056,893,272,108,
216,145,180,675,031,230,719,412,620,944,136,388,708,771,687,907,068,132,969,
490,501,563,772,131,486,771,127,456,194,837,228,509,987,603,005,954,598,528,
628,151,808,829,552,514,908,282,337,636,528,251,497,348,214,854,506,220,735,
849,351,833,288,405,650,670,603,995,712,195,673,112,447,191,274,160,463,074,
314,386,436,313,538,440,033,023,855,425,375,508,078,194,645,919,276,844,292,
681,153,029,502,273,552,049,764,006,138,261,345,636,439,323,291,077,504,009,
738,415,043,007,696,581,213,839,637,831,683,976,740,869,426,407,699,555,046,
593,300,069,779,337,927,239,341,710,320,725,853,538,395,528,412,348,181,572,
057,391,554,218,138,998,400,970,444,693,811,031,275,634,980,752,523,262,688,
378,807,245,551,766,931,065,829,934,417,497,652,594,918,120,789,977,313,220,
594,234,767,905,463,802,406,413,086,225,349,009,943,430,452,971,963,245,409,
605,736,622,819,963,904,152,684,400,544,526,676,994,548,638,207,543,387,870,
488,242,630,510,473,011,198,563,800,182,516,616,461,542,259,481,721,867,821,
580,464,286,527,318,018,731,726,827,277,753,537,639,887,281,298,169,183,131,
978,476,084,375,622,599,239,624,715,842,139,000,867,416,676,065,794,540,440,
743,449,653,919,311,593,505,157,691,350,299,959,849,403,598,204,267,067,694,
066,023,765,560,739,680,120,501,124,655,292,540,138,102,724,242,280,010,147,
356,016,123,046,564,014,312,059,685,662,351,464,750,211,917,318,052,014,961,
283,522,606,658,657,439,304,491,023,821,576,926,178,889,582,411,687,918,105,
589,564,783,647,486,607,384,743,342,351,405,708,804,334,019,156,014,304,770,
913,686,881,438,219,026,644,374,969,522,214,544,229,240,357,762,338,201,498,
063,274,302,915,110,602,887,806,462,041,320,188,425,335,818,272,114,166,397,
370,394,773,093,446,730,133,762,747,263,370,933,714,182,863,571,348,228,845,
501,311,062,627,630,790,463,408,836,553,650,055,387,436,090,428,846,981,869,
308,331,797,984,842,504,355,215,109,289,414,072,653,086,384,100,743,898,205,
761,111,432,280,624,747,408,272,421,655,709,107,696,103,061,957,015,562,583,
917,106,949,217,957,840,755,662,652,599,629,044,381,105,005,495,791,112,944,
584,998,255,675,579,712,853,481,735,599,221,012,234,637,801,157,584,353,185,
489,683,746,964,123,386,409,830,140,110,957,180,842,870,488,994,798,846,297,
973,496,134,549,233,133,795,563,685,158,682,806,928,786,328,370,378,220,823,
706,093,088,756,878,716,979,543,251,245,196,428,209,749,083,745,613,817,359,
730,419,125,026,251,561,565,494,216,215,867,228,134,201,287,305,014,301,129,
971,291,505,914,555,021,512,036,558,046,889,437,558,042,318,091,378,852,844,
088,012,336,356,561,628,885,645,539,718,123,426,947,972,848,521,673,769,300,
056,884,471,399,514,604,747,779,493,516,333,522,182,806,054,440,064,953,753,
426,099,556,225,038,851,663,855,660,680,384,343,336,491,085,987,917,107,237,
672,999,265,800,836,038,197,334,384,203,235,322,139,876,475,590,553,467,673,
943,502,902,670,572,636,788,857,819,650,298,100,480,523,769,601,183,667,783,
815,357,028,559,858,009,297,406,717,312,195,423,613,173,415,096,530,191,141,
453,130,397,574,384,865,445,998,211,205,624,462,981,301,974,758,224,607,017,
767,144,174,536,397,505,433,460,550,061,412,607,256,523,933,998,326,816,171,
086,747,428,580,802,602,413,368,713,088,408,448,815,578,240,843,525,738,965,
296,640,522,494,128,623,149,119,480,352,235,689,440,542,860,824,435,417,666,
846,894,272,542,016,911,585,340,334,192,860,529,578,542,961,049,638,743,687,
051,524,137,304,442,803,598,495,089,156,612,538,804,602,657,638,588,138,918,
257,311,311,210,612,916,476,154,623,350,662,889,333,157,988,583,659,206,705,
419,887,637,041,889,195,953,024,879,514,259,134,186,760,035,469,916,901,910,
776,790,848,553,829,213,476,630,588,847,635,800,881,240,009,764,940,154,518,
779,316,957,367,241,750,071,800,562,581,446,696,053,875,403,579,806,691,562,
547,663,398,655,385,072,277,408,989,273,080,792,100,885,605,237,537,847,438,
483,778,764,026,601,124,362,339,343,872,158,085,587,232,348,077,454,903,608,
753,827,140,418,905,100,225,047,433,003,401,867,436,258,153,952,978,976,373,
149,518,447,543,061,862,800,062,251,679,953,963,344,586,415,667,019,269,220,
191,028,794,656,946,919,034,996,347,012,505,382,614,047,062,627,942,386,301,
084,086,304,022,048,361,635,105,052,634,881,729,751,210,837,729,193,958,902,
750,240,412,036,679,597,206,007,674,540,193,076,223,938,531,631,636,532,272,
593,168,435,119,420,516,320,563,780,619,675,000,966,657,461,991,636,597,245,
236,070,035,963,690,168,848,967,528,375,749,817,415,624,060,696,462,891,893,
312,919,852,988,943,264,322,144,638,014,032,466,573,392,605,064,749,668,276,
717,848,419,453,306,594,624,351,781,393,942,458,963,818,423,191,383,762,894,
492,540,209,520,197,289,692,139,167,729,807,977,037,749,469,207,273,797,158,
016,540,485,070,586,556,032,637,791,544,151,411,360,340,084,837,584,997,623,
547,407,266,862,348,483,296,080,134,859,546,998,196,246,335,036,274,007,103,
534,794,746,358,944,072,998,688,996,071,725,826,129,210,991,950,782,798,869,
558,442,047,597,717,042,348,626,064,746,368,017,951,723,745,994,937,256,877,
596,355,269,268,518,635,128,208,560,167,067,349,325,186,478,654,751,313,687,
881,512,992,193,741,488,576,302,931,683,178,034,785,312,252,421,150,293,527,
511,022,238,324,704,955,864,062,647,819,772,671,039,152,217,686,876,523,400,
214,814,072,826,544,902,364,039,726,722,976,466,209,971,176,317,668,162,442,
208,712,077,006,652,573,005,535,555,914,714,967,027,653,645,723,558,949,604,
310,135,520,448,599,635,812,278,305,838,314,470,094,307,935,205,834,475,252,
584,541,780,016,057,386,957,887,067,756,779,167,584,039,492,233,144,957,876,
568,280,062,249,916,758,507,352,767,882,140,274,248,676,744,074,880,719,596,
102,920,734,791,182,192,660,156,247,952,627,929,368,092,816,441,035,369,002,
261,444,611,797,649,118,461,272,646,319,399,543,813,435,034,574,486,270,659,
436,292,716,327,086,477,498,280,721,864,907,071,582,148,257,126,982,662,926,
136,527,120,348,604,599,228,837,368,204,229,642,786,059,423,365,116,803,038,
724,909,721,588,843,269,451,901,817,295,769,660,183,061,450,457,176,578,096,
370,370,286,156,366,846,610,081,831,405,858,563,759,926,495,516,995,110,374,
576,160,996,674,742,705,203,204,288,744,205,427,564,624,752,197,961,897,012,
028,189,428,357,250,358,173,337,079,373,180,879,267,910,163,259,773,286,341,
149,520,721,991,393,289,739,707,508,455,282,466,106,876,922,919,793,995,854,
800,622,492,506,889,615,399,622,545,540,617,280,179,389,604,110,552,599,121,
902,419,211,803,800,990,984,483,023,967,015,866,322,092,236,435,411,628,232,
171,465,089,720,339,586,863,874,202,618,326,718,762,549,370,424,231,113,486,
986,433,526,446,490,481,830,538,433,278,872,034,937,191,015,729,813,556,381,
613,519,512,270,644,745,357,985,178,504,911,681,293,767,314,027,151,520,873,
329,359,032,588,493,493,528,834,103,335,600,858,072,513,591,131,049,123,126,
527,259,356,207,453,017,325,878,423,873,089,864,979,634,703,235,664,201,596,
217,037,148,206,999,654,164,326,016,305,465,495,680,549,580,862,474,492,326,
941,868,924,803,917,006,266,147,381,474,955,773,361,009,255,967,101,139,936,
199,545,971,824,057,189,710,944,316,964,404,954,199,950,742,629,550,539,621,
117,003,408,898,170,312,135,270,652,947,972,749,030,592,045,477,474,393,400,
646,885,770,557,222,006,265,112,181,283,072,127,788,661,416,847,234,004,835,
034,853,241,957,066,321,822,542,826,792,545,687,405,206,655,795,611,389,431,
620,401,719,444,408,859,613,789,020,559,257,982,706,057,718,810,678,928,195,
604,725,818,566,824,117,298,161,436,968,083,904,376,190,174,266,890,328,775,
752,766,567,107,820,257,180,203,602,289,021,703,803,300,910,135,754,444,737,
093,733,110,917,364,258,371,726,281,004,671,165,560,466,549,887,015,394,417,
696,189,646,631,352,104,726,114,875,368,143,914,693,570,559,752,699,829,492,
813,488,051,782,547,580,783,709,468,806,238,991,848,910,838,954,262,711,366,
990,631,725,274,819,270,886,041,955,326,402,905,463,841,480,598,962,291,583,
918,928,398,213,910,912,625,469,638,543,794,328,372,230,185,935,283,524,306,
817,804,492,231,585,722,885,921,290,881,741,036,087,275,100,355,413,331,193,
121,892,688,849,592,598,821,001,295,974,470,220,879,942,779,307,863,496,639,
459,356,038,748,511,840,687,871,109,364,333,723,870,563,764,552,438,525,136,
007,003,573,720,992,573,792,231,955,195,905,156,212,620,936,932,177,040,913,
492,873,183,583,971,004,832,838,307,622,127,422,531,756,455,732,689,098,156,
937,526,349,942,893,913,710,995,086,213,149,711,352,395,305,463,229,865,150,
537,561,494,039,109,003,354,337,485,932,876,137,483,543,452,191,949,304,716,
955,094,510,981,863,984,785,714,825,399,922,204,900,811,025,246,769,154,734,
719,889,587,859,845,071,102,882,085,834,548,074,364,287,398,517,545,808,501,
581,055,304,752,322,226,638,736,435,062,094,507,791,896,917,889,737,215,014,
884,439,421,751,854,268,541,717,169,473,050,860,349,742,619,394,962,583,277,
080,116,755,758,459,742,132,586,848,329,477,806,542,099,609,859,470,023,645,
931,498,444,799,434,366,545,496,095,934,261,957,494,717,934,190,328,215,404,
823,193,961,159,538,851,081,751,415,833,604,532,681,390,441,308,330,788,788,
336,165,395,615,222,344,482,407,565,281,394,137,713,792,178,009,334,365,123,
445,837,224,424,718,845,580,189,218,616,561,923,974,020,469,383,766,625,802,
199,620,383,999,870,288,807,539,375,822,968,692,246,381,125,687,236,762,348,
949,962,822,797,542,227,247,866,351,446,314,587,895,337,244,855,505,286,075,
404,320,849,606,113,546,164,817,372,895,417,682,245,453,198,570,727,215,919,
434,343,644,691,994,091,958,023,175,221,150,140,337,425,632,137,522,047,021,
889,897,748,916,091,824,514,803,009,104,429,888,835,598,216,637,648,877,031,
288,893,876,464,250,052,977,616,420,550,526,044,309,011,091,768,324,651,011,
707,388,058,541,466,859,941,343,074,259,077,821,851,403,433,986,360,982,312,
738,297,170,118,863,324,866,967,801,395,683,503,503,888,856,871,785,608,169,
618,221,860,290,146,280,263,573,431,415,343,687,313,528,650,339,430,696,434,
520,181,948,533,430,659,620,596,843,901,705,989,278,361,773,617,297,582,358,
644,663,137,524,751,228,046,304,136,254,653,774,377,633,515,939,511,518,685,
723,945,865,656,436,825,986,151,133,936,695,655,412,709,731,242,278,480,240,
317,782,862,665,405,823,539,015,276,724,872,272,132,394,975,280,549,273,272,
025,997,423,625,362,968,156,337,688,986,584,159,489,070,945,283,449,703,201,
549,521,074,677,159,193,364,204,621,390,322,358,140,702,691,916,412,795,365,
499,673,218,774,535,424,187,557,851,980,927,799,830,129,231,101,346,930,473,
159,501,033,096,621,851,936,746,112,355,969,234,916,686,829,893,248,826,753,
228,800,918,007,971,615,012,835,354,525,154,506,821,251,073,352,667,320,725,
362,198,562,240,020,726,490,816,734,905,928,601,992,095,763,660,213,017,835,
702,114,484,829,001,205,928,334,266,926,917,533,331,989,898,024,891,502,460,
567,757,414,443,737,896,575,668,887,607,894,458,543,196,550,467,311,834,531,
783,912,561,924,828,105,314,668,260,940,472,516,959,765,926,646,051,534,177,
141,615,677,530,669,271,023,261,222,621,526,580,318,070,845,590,986,883,959,
904,862,754,292,592,883,556,781,641,218,585,045,676,619,287,136,828,755,142,
589,852,865,142,929,644,161,910,365,563,131,888,459,125,347,478,169,122,394,
371,486,322,244,377,108,166,801,120,858,022,117,904,509,249,766,723,550,527,
180,911,687,417,518,658,040,373,149,942,005,635,999,008,893,287,779,123,779,
720,133,442,013,593,635,076,365,743,831,025,099,888,559,320,811,457,633,023,
328,636,983,433,225,605,729,342,682,840,527,203,274,471,873,488,921,590,024,
653,868,294,239,431,882,755,564,122,505,087,751,622,741,379,594,153,306,128,
193,331,990,185,741,305,526,976,892,726,671,889,789,856,523,786,218,760,031,
576,194,769,435,347,039,385,477,323,287,864,688,897,982,872,498,905,226,388,
748,899,467,705,398,463,967,479,287,914,395,227,449,442,832,124,175,500,678,
484,914,720,993,705,274,198,519,985,743,450,602,293,560,664,276,194,057,355,
031,955,572,690,511,476,511,285,837,720,891,212,144,824,512,231,082,533,647,
135,727,876,184,279,430,786,168,435,011,421,268,143,376,160,060,044,538,145,
344,990,310,959,299,284,559,947,392,006,457,718,296,118,721,638,721,844,211,
171,978,559,542,763,533,742,363,955,029,640,984,622,138,396,564,681,093,380,
816,774,572,059,160,251,556,771,667,531,426,065,034,156,157,657,006,604,430,
597,483,106,581,461,714,107,621,977,067,294,610,344,799,773,429,389,289,464,
399,020,950,736,779,326,295,983,372,928,030,037,647,268,201,840,037,554,834,
831,724,815,770,174,011,136,965,698,786,301,354,211,684,284,966,979,955,028,
041,025,617,885,194,516,111,696,596,035,850,891,572,507,457,181,296,442,362,
142,591,129,553,277,725,932,474,120,962,981,226,289,277,078,669,709,759,494,
673,297,564,277,666,015,940,678,238,150,810,796,539,966,181,607,925,050,207,
876,198,180,992,140,497,071,415,184,952,282,120,532,190,696,707,171,910,485,
657,415,256,496,565,247,084,768,267,321,620,945,554,196,267,510,111,537,851,
575,729,987,946,853,082,122,065,628,765,568,174,228,470,805,323,432,174,570,
823,757,279,547,950,266,915,517,260,652,100,516,845,333,132,111,447,885,078,
341,423,148,373,718,046,963,877,127,982,630,599,475,257,939,207,309,043,216,
895,786,632,836,384,089,834,090,110,232,960,290,753,896,849,346,493,219,663,
904,163,282,259,275,040,846,443,517,220,321,525,671,349,900,017,712,376,212,
966,673,105,717,388,582,481,097,806,487,285,160,421,584,747,838,307,968,918,
822,406,340,349,835,112,988,002,289,060,586,486,489,693,299,598,166,692,223,
876,002,493,098,867,159,086,005,670,809,630,007,746,165,329,952,827,391,799,
901,802,673,606,671,737,397,691,411,600,016,723,808,677,784,692,076,205,058,
124,571,583,058,667,224,773,953,209,960,408,304,967,333,363,029,196,656,850,
193,598,479,118,961,075,880,643,073,749,366,765,053,106,081,498,279,501,616,
045,171,305,048,667,279,576,959,283,589,211,447,800,324,910,485,370,041,946,
342,515,346,267,109,367,355,111,831,257,991,495,148,573,741,222,493,756,712,
467,785,210,045,610,023,384,447,425,759,045,267,767,191,037,560,423,410,795,
219,328,635,341,902,937,376,229,367,617,328,792,116,002,737,155,034,495,248,
441,216,451,889,872,238,337,434,204,019,914,093,212,283,160,088,203,563,520,
821,142,417,444,415,941,359,814,235,713,699,612,741,582,515,465,700,689,320,
414,317,443,475,531,232,118,668,888,567,606,635,555,679,447,371,079,776,271,
977,740,558,617,730,063,475,327,742,771,219,496,794,042,600,328,054,257,074,
675,902,178,973,469,357,162,882,551,500,850,834,758,817,389,383,875,579,866,
541,425,207,668,725,770,788,823,801,185,456,646,987,637,317,117,068,387,774,
926,912,424,246,130,439,236,350,766,364,781,934,473,790,350,189,080,463,312,
598,594,040,990,118,051,684,182,998,612,204,160,097,669,574,962,987,521,233,
094,878,814,401,400,134,239,696,866,617,207,843,496,733,858,730,776,032,029,
661,935,772,439,445,412,741,042,616,655,618,300,947,734,469,202,934,603,160,
869,281,708,938,209,880,327,802,583,228,777,657,904,675,470,438,247,552,657,
734,880,731,945,626,339,602,353,060,779,402,625,916,466,705,539,282,211,337,
319,223,878,787,897,717,426,909,534,966,944,687,813,420,101,348,812,416,643,
727,925,074,851,716,994,031,419,206,851,360,024,883,575,371,291,224,213,538,
607,555,058,675,691,878,166,401,853,253,450,937,810,353,853,782,626,066,104,
800,900,963,679,663,540,029,036,148,777,266,082,720,566,565,855,630,055,550,
494,528,506,057,129,069,313,227,399,974,333,144,350,678,997,530,985,125,193,
471,774,071,110,054,952,857,194,140,170,076,062,931,942,618,422,139,655,070,
538,230,531,036,868,721,948,898,086,957,921,169,958,910,980,471,338,033,213,
023,412,031,394,950,192,600,947,142,258,660,001,953,430,176,526,132,340,484,
308,141,240,177,603,391,933,079,992,588,541,977,357,807,722,754,174,180,781,
189,543,652,533,759,113,945,829,465,362,011,913,984,062,099,487,061,384,132,
854,090,248,143,517,848,292,386,625,359,814,609,911,116,683,825,658,944,412,
772,002,060,360,547,012,382,428,601,128,897,839,839,640,711,450,062,898,305,
152,935,387,726,558,775,476,865,365,217,657,183,276,431,092,430,996,493,323,
629,252,183,786,560,150,584,824,281,173,719,117,942,847,130,854,960,432,791,
881,741,288,486,727,312,526,028,552,960,326,052,534,082,488,822,169,980,877,
502,428,643,924,674,259,446,864,619,995,799,113,710,917,205,141,889,541,192,
986,348,429,590,411,003,320,829,829,224,425,463,040,772,859,042,863,436,906,
854,400,749,661,969,839,196,753,076,718,912,174,929,847,542,337,257,318,639,
209,036,430,396,153,857,547,484,236,018,818,791,988,873,779,741,875,827,941,
607,894,748,043,870,698,465,142,761,661,487,626,364,342,836,802,366,075,517,
591,251,914,591,230,265,113,380,784,357,036,144,585,662,162,457,503,595,786,
053,123,256,908,898,712,319,527,266,004,675,912,838,618,834,394,317,265,469,
890,966,537,335,463,868,500,326,258,000,760,454,078,800,083,147,803,835,508,
063,568,411,599,773,810,332,255,686,992,359,558,740,926,454,200,797,634,117,
571,156,918,677,852,489,831,260,880,197,524,156,434,264,355,964,590,634,373,
338,940,676,602,735,732,531,010,182,201,130,087,835,726,991,041,851,054,008,
127,536,152,300,951,434,524,713,170,751,476,595,206,708,420,064,511,396,985,
387,392,360,574,302,994,775,781,733,346,558,657,585,694,952,703,561,990,296,
090,943,904,221,395,191,275,492,886,123,556,015,304,718,293,595,187,538,459,
399,414,075,021,594,660,759,557,073,857,727,805,205,873,164,143,673,476,738,
098,552,766,481,271,040,746,576,327,669,211,427,057,994,731,376,451,911,219,
072,571,685,920,462,197,322,938,791,412,474,751,618,405,342,073,003,007,049,
293,780,494,696,588,393,081,035,704,671,937,280,815,988,298,145,904,153,074,
854,615,035,926,394,421,266,307,715,252,215,909,542,893,252,728,908,187,903,
966,650,084,297,516,601,422,460,668,136,372,469,639,315,248,317,732,453,706,
047,035,729,598,663,655,078,492,054,252,428,424,313,258,521,287,688,585,898,
110,685,092,877,455,155,652,738,796,109,611,096,996,484,134,896,901,653,328,
091,965,334,721,504,502,893,141,088,046,033,403,941,344,690,313,342,814,108,
224,555,528,185,057,943,647,059,579,661,613,439,282,415,795,158,165,811,023,
456,190,955,384,525,341,138,378,599,530,104,804,334,502,238,008,916,871,844,
500,017,812,422,235,935,994,457,006,721,567,623,960,057,620,534,394,403,896,
827,746,807,586,670,388,637,007,607,714,584,151,498,178,203,913,612,118,015,
238,694,564,793,825,449,361,519,166,666,377,244,479,789,672,304,183,788,159,
786,905,904,616,357,523,070,333,461,348,660,932,834,818,005,760,112,313,350,
600,962,628,448,693,858,692,056,316,258,835,198,622,717,383,846,634,869,617,
601,751,990,932,832,199,293,407,869,655,447,463,620,764,685,761,363,025,831,
159,820,270,353,160,078,175,312,672,655,675,298,543,211,411,875,787,073,950,
232,172,095,587,456,794,898,790,487,344,462,323,411,774,424,653,636,499,988,
645,838,734,570,057,012,505,504,852,789,439,768,236,134,941,883,578,693,316,
642,337,394,974,193,303,766,310,586,763,375,686,024,838,473,939,155,236,959,
273,815,835,429,538,759,171,201,036,513,134,417,132,534,260,535,388,200,280,
751,109,961,866,022,051,284,162,836,227,260,695,885,320,374,842,709,814,062,
474,885,311,118,239,942,385,975,661,994,900,722,660,325,317,352,602,226,681,
754,844,867,514,008,598,483,716,748,702,531,450,621,386,451,729,918,307,481,
851,686,121,451,207,675,982,774,747,248,232,900,718,979,183,812,156,296,512,
372,677,801,377,391,241,338,223,357,153,421,567,116,834,816,765,013,003,268,
498,003,651,614,034,704,312,864,782,609,402,357,319,246,911,598,540,253,560,
681,390,613,132,181,497,566,412,899,018,972,662,413,433,909,654,536,434,208,
918,392,384,352,141,087,790,689,775,696,696,875,573,754,945,590,484,436,287,
345,355,137,226,393,371,782,040,884,596,911,730,927,395,486,187,986,567,906,
224,630,879,438,524,253,051,783,560,142,574,148,634,461,150,286,473,383,930,
678,261,449,733,039,401,099,863,312,113,720,336,298,172,046,035,674,845,140,
113,413,724,600,383,252,239,437,620,515,091,057,428,286,524,557,587,373,924,
891,807,404,233,831,418,582,372,492,674,326,946,502,891,692,868,702,388,968,
440,231,717,281,379,742,282,731,214,412,932,284,100,242,258,285,058,968,268,
944,816,899,269,864,391,955,099,870,513,108,563,435,806,599,488,085,010,359,
280,017,516,963,752,159,495,535,257,166,696,662,424,117,722,337,347,145,397,
619,958,067,542,370,719,588,777,908,406,364,936,449,628,723,738,403,307,933,
722,316,051,737,214,739,578,091,950,229,466,537,516,501,210,464,545,558,093,
302,865,275,913,745,481,555,980,405,472,261,266,512,735,593,865,839,875,121,
379,910,492,176,138,678,917,157,423,510,431,760,895,066,904,106,945,954,328,
857,805,772,361,147,820,913,358,092,405,241,715,123,758,273,883,983,720,010,
634,789,828,583,598,202,761,329,385,970,553,894,687,171,338,742,089,816,209,
360,140,238,170,986,083,876,168,148,181,911,706,466,227,368,193,265,574,331,
612,281,891,913,017,924,169,374,613,702,890,028,623,886,389,476,547,904,062,
423,787,353,110,518,509,689,899,586,993,931,437,964,528,970,247,271,930,048,
680,613,689,882,301,330,873,892,245,924,672,356,356,044,353,138,090,393,853,
710,926,812,676,271,581,030,545,648,496,008,709,215,178,511,475,655,199,402,
535,761,125,460,058,394,215,071,999,725,060,864,061,106,355,815,948,326,034,
318,385,135,797,696,876,285,260,397,873,613,669,059,066,041,119,036,766,051,
683,364,276,709,896,158,082,697,682,236,335,908,079,639,386,453,208,199,104,
939,981,946,494,325,661,683,866,243,535,144,096,011,868,308,421,148,933,131,
648,742,860,186,093,698,549,662,451,764,396,006,215,590,953,460,318,044,760,
303,887,825,431,442,523,252,752,679,863,958,455,796,886,192,959,831,463,035,
929,446,874,637,537,823,433,816,960,338,803,615,137,612,445,859,777,653,402,
812,869,746,568,408,518,803,509,598,062,856,851,954,105,959,676,213,186,826,
212,833,287,757,387,196,580,280,423,263,597,475,119,390,591,442,907,520,558,
922,790,738,499,881,157,691,946,996,369,469,025,121,227,264,048,772,089,566,
672,711,418,362,324,257,375,103,306,630,117,695,658,911,679,704,353,318,216,
612,856,625,627,109,927,411,933,459,790,075,759,682,226,834,610,604,936,066,
492,768,450,628,507,911,966,886,714,550,611,124,603,243,924,352,525,471,303,
479,117,561,914,915,852,665,409,223,490,639,776,588,198,022,407,974,003,487,
238,801,374,138,222,376,278,296,261,305,883,995,573,870,673,861,640,198,340,
119,295,805,827,808,661,402,903,425,788,063,795,763,497,807,397,519,124,661,
264,036,796,836,785,673,891,246,480,420,969,808,855,976,564,186,431,734,855,
064,110,339,050,259,713,862,391,695,929,717,435,443,357,677,337,300,680,255,
282,926,556,663,100,787,090,967,478,683,275,581,532,301,433,980,455,795,713,
169,051,047,610,534,729,883,462,103,385,428,016,172,230,849,880,780,048,959,
145,341,301,341,072,251,235,190,890,368,190,434,068,260,364,371,532,920,282,
792,273,756,138,853,415,223,511,618,199,983,992,527,121,380,582,044,549,147,
408,706,414,253,245,086,857,593,742,534,149,513,123,011,725,699,887,083,075,
955,877,437,207,874,822,447,003,218,403,225,763,765,579,504,850,684,193,285,
557,831,612,076,332,668,705,955,006,302,109,375,656,283,307,711,781,751,970,
625,910,441,568,979,071,216,499,784,553,626,112,545,777,891,803,553,175,092,
178,090,385,803,593,518,950,308,441,351,478,144,722,390,057,946,423,188,567,
005,973,287,678,227,049,289,932,460,042,061,459,831,569,888,224,822,986,392,
467,227,165,364,093,069,447,615,211,094,433,150,336,882,708,504,637,455,523,
083,579,082,496,967,227,532,442,190,174,798,788,073,526,463,085,504,370,413,
540,263,702,326,544,291,188,062,400,002,805,688,255,339,264,264,505,078,652,
603,115,315,596,100,327,411,047,683,340,436,718,955,719,181,880,191,187,930,
909,986,253,388,098,230,110,154,915,445,014,854,716,282,869,723,733,008,175,
391,646,012,628,952,629,104,056,929,013,206,044,263,258,205,451,726,054,519,
483,594,257,871,317,951,832,178,558,431,149,930,436,291,037,043,196,547,613,
374,393,647,342,143,862,709,438,925,659,684,015,450,258,823,085,099,543,176,
236,898,505,285,824,186,952,065,863,951,647,073,444,912,235,727,554,421,393,
907,051,647,787,222,632,961,619,518,736,143,178,141,479,551,242,276,145,441,
557,601,103,791,684,446,476,220,036,336,834,667,247,098,577,429,091,705,691,
156,858,027,630,738,366,081,077,195,251,596,167,039,456,316,436,297,321,827,
700,789,467,379,980,200,070,939,628,701,197,038,607,676,562,515,942,225,582,
563,637,890,634,500,244,638,771,747,949,062,937,177,706,673,707,822,132,987,
489,687,717,008,077,605,481,513,755,933,440,285,948,537,647,072,946,822,169,
403,098,365,614,498,953,040,880,803,726,076,943,517,809,042,246,989,552,518,
877,488,045,002,760,234,717,053,578,158,233,107,162,690,280,003,463,477,185,
654,800,589,698,382,207,037,923,798,579,466,508,807,985,692,094,419,886,273,
240,098,062,260,565,357,217,788,191,100,948,505,187,437,205,754,804,488,123,
890,945,628,413,429,973,745,953,453,988,498,246,715,156,041,480,996,388,649,
503,317,840,457,156,922,177,535,279,836,427,878,262,507,336,609,880,436,803,
002,193,097,072,928,283,322,816,175,560,928,893,263,487,186,596,820,551,351,
211,460,906,703,002,395,580,317,364,818,259,157,459,022,017,084,264,080,693,
263,057,353,341,131,513,664,404,491,985,193,989,927,164,150,934,149,867,339,
122,724,855,966,072,172,042,684,990,418,794,178,563,612,713,650,189,865,649,
657,298,244,565,618,896,224,952,881,640,275,810,830,766,471,920,726,334,221,
502,847,662,544,920,394,910,825,950,522,838,256,296,708,896,958,602,273,072,
499,427,369,424,080,927,983,715,024,628,783,049,786,199,406,950,595,950,406,
509,657,250,120,809,114,127,751,875,229,792,171,236,779,935,825,780,049,638,
233,809,178,064,825,789,815,195,857,034,087,077,905,173,799,683,395,831,021,
954,946,908,330,265,819,128,223,267,311,003,704,194,111,855,233,110,232,532,
442,876,791,421,865,374,628,785,570,958,423,348,481,141,755,303,599,641,725,
249,835,005,729,382,672,493,654,683,743,901,257,998,283,663,919,604,151,031,
999,603,224,488,116,673,908,118,773,687,485,188,577,013,014,895,596,815,957,
793,419,121,527,075,896,022,782,199,084,223,590,199,272,969,758,299,292,185,
203,918,550,263,593,050,364,790,753,055,417,192,864,857,756,343,825,186,521,
657,162,066,769,792,571,581,259,510,918,065,543,730,223,007,078,461,516,809,
391,871,709,343,133,664,969,606,259,712,208,465,127,410,095,821,846,231,953,
070,934,393,182,287,580,775,803,096,968,179,564,605,104,711,864,970,750,177,
777,835,155,996,441,888,871,937,650,044,206,962,258,681,894,288,209,017,228,
879,801,341,859,675,249,194,489,607,183,627,635,821,843,798,984,602,926,394,
139,006,604,568,313,006,175,055,772,241,764,080,660,699,617,712,644,685,415,
737,419,571,998,731,691,697,052,425,754,876,487,333,254,605,426,415,338,951,
719,043,391,122,580,994,343,566,852,437,860,192,866,556,179,799,293,628,825,
318,268,049,898,824,350,432,122,068,421,699,677,150,151,022,485,840,642,073,
846,756,552,583,857,395,980,906,371,959,424,407,336,943,585,828,406,890,649,
633,746,691,052,957,507,021,590,647,762,266,283,281,049,482,335,671,732,060,
023,289,934,741,495,176,722,793,681,700,374,088,751,629,745,684,019,391,657,
378,044,921,637,603,306,122,728,972,621,329,008,371,415,913,343,143,136,247,
420,614,025,975,068,006,789,330,507,851,244,971,636,222,553,879,276,055,871,
041,236,137,290,009,364,105,457,008,762,511,865,792,061,407,563,169,642,034,
993,115,327,426,065,384,714,444,354,511,958,813,820,184,245,065,080,574,851,
169,827,036,524,482,416,111,666,268,464,394,733,694,105,335,227,429,401,661,
705,767,108,846,881,345,049,541,270,111,727,397,911,932,615,568,776,493,181,
734,520,188,281,173,045,129,506,746,871,916,677,135,457,313,153,712,679,204,
780,503,952,044,110,317,349,443,134,149,406,080,538,941,139,131,167,484,036,
383,484,236,620,884,701,307,223,666,280,873,397,413,982,489,756,683,277,572,
075,122,933,571,669,646,234,084,704,174,510,786,045,689,090,651,614,087,915,
161,091,831,651,151,958,517,829,322,305,805,319,287,222,044,929,376,446,987,
441,893,389,195,936,651,759,194,583,872,245,638,652,912,430,939,620,862,600,
987,180,733,016,393,410,670,707,287,878,613,275,226,862,833,226,685,380,874,
488,703,719,746,043,522,329,245,091,584,556,456,654,976,601,229,678,261,655,
349,578,892,105,380,986,527,511,921,090,722,833,092,965,662,634,870,033,711,
741,111,024,341,716,708,045,611,947,031,458,646,743,534,034,833,416,808,425,
242,415,881,412,525,536,336,988,487,258,753,030,760,405,010,434,350,691,009,
370,798,134,424,659,380,146,825,656,610,592,458,520,468,593,158,537,223,523,
833,527,276,065,810,696,451,010,443,545,074,994,483,623,619,721,303,178,557,
145,488,761,144,463,166,273,064,305,375,579,723,719,145,228,246,345,696,853,
222,714,300,238,865,753,304,235,492,033,011,313,539,648,186,164,194,476,847,
839,674,897,365,497,369,012,281,353,239,985,703,858,561,303,998,737,463,433,
881,027,876,171,242,047,058,309,177,181,845,922,806,960,441,598,491,323,484,
659,735,903,690,100,654,725,441,411,824,593,517,826,090,589,923,361,091,288,
207,592,897,482,079,040,164,324,736,441,294,314,908,089,207,437,046,133,781,
996,390,142,227,786,453,656,870,695,348,583,376,286,567,905,498,801,931,982,
005,727,570,526,722,461,368,952,020,418,498,712,904,886,480,702,555,821,452,
606,666,773,077,265,385,242,523,054,872,192,039,285,839,682,077,604,346,208,
997,795,595,629,737,231,285,443,761,171,170,592,312,026,909,599,242,206,842,
825,828,706,695,761,247,885,753,055,110,082,896,816,117,951,696,660,545,116,
592,097,985,654,855,458,734,512,516,719,776,001,854,772,111,962,567,689,545,
282,727,397,649,174,214,524,146,525,912,979,982,077,923,131,503,806,505,409,
464,022,994,027,186,726,457,641,549,064,377,161,023,816,429,047,836,391,675,
244,898,815,167,222,699,418,505,034,856,837,066,133,339,857,440,273,770,623,
977,285,001,710,232,175,410,675,787,686,048,757,968,514,829,227,382,943,686,
059,493,138,234,360,183,400,400,475,462,191,037,466,965,956,467,774,094,749,
641,562,726,115,033,790,553,274,082,412,829,324,544,313,904,687,761,965,138,
832,997,502,637,219,885,863,874,976,854,082,158,518,077,793,461,064,038,928,
705,455,870,847,237,547,599,519,804,337,552,169,617,487,872,300,479,269,162,
442,214,281,570,358,081,653,148,607,616,471,173,323,621,688,699,239,661,579,
756,592,550,607,993,173,287,597,809,953,296,742,657,424,484,989,638,265,580,
389,173,247,639,945,931,132,186,887,337,810,690,899,723,670,597,246,428,052,
571,642,948,332,740,983,245,860,454,285,822,326,263,184,105,788,600,761,543,
845,268,752,218,194,229,239,751,942,009,725,334,020,890,835,929,441,203,053,
042,048,381,883,475,891,571,721,874,945,833,180,219,260,323,244,427,180,351,
203,296,975,162,621,646,777,031,772,328,799,407,733,229,674,000,181,880,161,
711,177,285,291,732,403,968,496,502,415,328,831,188,329,453,256,935,218,916,
969,471,976,249,661,159,491,907,135,192,199,976,004,487,874,073,186,323,794,
656,583,061,767,089,470,946,538,073,558,645,309,891,054,240,371,689,522,329,
764,521,626,390,424,014,451,425,661,085,576,509,464,110,718,231,187,022,175,
033,490,307,480,381,520,588,881,452,870,738,806,853,651,770,844,191,676,574,
947,311,630,893,073,321,105,409,854,637,400,899,416,126,203,528,101,904,853,
762,503,955,159,099,399,775,791,969,668,183,612,141,285,024,696,123,271,300,
916,133,681,686,190,282,329,133,092,702,030,065,456,410,833,532,146,332,455,
923,327,741,387,834,102,578,523,945,864,706,913,243,419,879,389,723,925,066,
294,503,574,836,664,731,078,215,447,062,037,296,302,782,881,893,895,775,058,
617,032,426,699,110,076,202,628,770,334,886,575,433,571,278,702,923,182,813,
300,621,901,220,299,335,555,031,686,193,380,178,151,374,900,532,602,982,611,
727,022,259,155,418,201,397,671,045,644,760,561,048,360,923,724,776,307,165,
386,144,231,945,486,744,666,982,233,334,438,790,208,449,216,583,178,864,041,
429,572,594,064,830,445,592,201,339,493,855,790,657,511,316,411,615,023,022,
216,687,377,465,417,153,412,786,025,324,699,655,213,524,119,913,492,187,800,
596,279,271,899,304,617,311,392,713,428,583,518,815,707,887,614,529,261,314,
296,894,137,118,533,099,237,928,402,968,365,873,672,968,882,867,153,907,879,
013,070,355,885,020,548,139,379,753,201,431,122,058,770,331,487,315,089,569,
252,579,369,168,567,444,028,714,982,737,760,446,185,391,775,030,862,567,036,
816,402,002,264,878,383,061,679,266,145,729,674,914,523,781,307,255,598,274,
009,410,086,878,892,288,078,647,830,875,254,654,804,553,876,373,475,540,179,
150,570,559,916,278,272,567,679,870,793,873,929,231,837,922,186,648,372,509,
675,222,726,419,311,319,823,812,109,454,287,089,177,054,521,267,765,961,453,
006,320,932,410,970,373,596,502,775,842,046,915,248,027,728,983,433,470,896,
404,199,644,139,603,464,230,289,188,884,193,387,395,033,188,481,652,032,571,
299,684,195,851,690,253,373,055,199,311,482,922,572,414,719,308,382,933,807,
674,109,124,888,994,730,411,990,886,125,158,620,971,680,493,353,616,787,383,
159,577,829,148,066,508,859,437,145,378,529,995,348,203,892,328,691,191,152,
271,369,906,062,460,774,222,542,367,566,195,642,596,932,393,410,296,902,075,
242,238,378,789,858,357,666,764,852,391,094,232,359,979,252,272,023,157,943,
006,674,071,242,710,639,907,663,451,584,228,828,385,832,718,973,988,674,940,
423,731,676,558,307,699,463,165,820,551,572,903,713,130,758,283,395,014,701,
281,319,253,897,830,719,522,982,659,632,398,661,201,302,902,285,154,633,834,
830,066,143,595,494,850,245,648,167,721,946,867,256,958,142,980,427,235,660,
474,033,939,198,255,985,770,562,503,469,990,152,938,902,109,243,485,751,404,
442,139,773,417,558,783,823,830,084,959,347,689,032,340,741,262,324,054,563,
346,290,169,827,430,999,225,452,535,392,728,406,065,929,142,836,157,827,506,
263,032,226,476,248,562,891,248,885,063,507,590,384,583,499,928,907,713,565,
805,693,013,963,592,176,117,650,534,910,163,936,782,199,792,441,196,093,510,
902,507,116,062,156,911,395,016,253,807,637,742,562,118,889,557,894,095,520,
613,925,469,539,636,573,290,570,077,940,073,532,696,245,544,493,598,868,442,
636,639,322,512,362,531,564,320,516,252,509,919,849,703,251,885,043,924,362,
651,741,964,247,291,508,161,670,293,091,210,730,401,208,226,603,579,776,245,
207,243,317,162,792,132,641,738,499,230,340,273,223,329,727,028,240,685,990,
141,346,611,882,052,094,883,204,219,517,335,268,344,369,692,677,389,528,773,
140,539,856,855,056,078,228,170,179,380,264,288,562,872,633,354,855,869,318,
186,688,569,716,874,008,450,658,030,688,297,380,208,910,138,214,208,748,227,
126,494,655,683,288,248,696,437,498,507,930,070,613,067,328,316,361,337,849,
047,897,622,483,862,678,409,666,545,999,055,427,153,577,306,231,655,145,968,
288,181,093,549,246,446,875,336,329,607,508,733,903,310,597,335,661,523,191,
593,848,303,094,992,884,029,054,431,712,720,021,168,668,475,029,542,530,099,
569,989,300,069,981,067,833,092,706,118,011,827,461,124,397,482,166,704,286,
761,293,277,968,319,644,405,405,684,889,608,806,178,172,609,435,513,830,782,
013,926,993,550,348,311,101,596,856,092,300,614,249,727,180,609,515,645,350,
871,698,240,003,014,443,977,681,917,875,519,176,322,464,328,319,107,537,665,
096,366,144,086,103,386,134,055,247,921,697,709,839,813,430,866,974,325,829,
082,101,624,376,721,086,845,444,744,339,659,706,337,946,257,281,793,953,438,
584,833,863,184,279,385,858,578,976,718,317,841,641,206,180,885,918,472,428,
249,250,042,691,584,324,008,850,992,007,784,409,703,796,356,534,679,670,869,
957,235,825,885,098,333,672,863,329,278,627,796,045,236,261,644,671,465,276,
932,165,903,178,124,376,509,995,049,744,101,707,884,768,177,661,117,678,527,
608,951,103,226,829,622,461,973,055,666,072,603,326,553,038,661,681,939,936,
587,197,544,076,529,728,684,649,721,618,110,478,510,942,446,615,024,335,853,
421,410,240,111,241,055,402,399,604,261,684,809,398,500,845,037,470,604,745,
906,259,513,400,094,909,702,829,017,289,797,810,266,005,091,705,210,587,558,
842,781,006,465,668,204,074,668,657,465,365,945,161,108,987,306,637,049,445,
868,269,555,560,076,316,904,957,594,255,687,897,746,290,704,751,301,765,496,
256,369,706,666,787,724,163,775,188,405,739,936,367,043,938,485,190,195,642,
036,951,417,402,702,708,009,976,050,902,581,513,407,200,754,889,737,928,043,
029,529,492,737,403,725,155,979,053,737,880,026,046,788,049,853,266,655,461,
076,102,216,809,291,415,172,741,414,346,650,655,263,322,515,289,983,253,964,
785,776,902,617,037,072,304,460,621,665,579,332,316,978,039,377,084,292,767,
781,668,482,346,658,733,682,484,983,029,832,365,425,444,752,414,316,086,942,
597,963,494,655,580,948,030,197,178,067,685,107,853,672,081,767,249,600,998,
211,170,217,416,017,123,859,916,582,815,524,638,316,902,217,424,310,594,838,
772,469,842,971,138,519,775,538,225,049,852,427,839,594,487,532,988,103,276,
507,597,284,765,722,667,488,119,956,337,199,405,423,047,162,922,468,997,748,
972,639,091,509,773,929,217,443,786,463,785,497,362,736,465,293,129,136,090,
463,957,494,621,604,966,000,458,154,754,905,505,570,821,125,740,188,558,348,
906,574,404,135,987,335,031,481,575,346,394,231,289,299,650,512,432,598,639,
157,248,892,583,539,856,074,776,537,263,307,200,989,156,183,185,020,894,183,
871,639,303,794,167,895,254,313,008,833,694,694,141,013,963,603,695,775,381,
818,791,385,379,559,802,242,699,674,452,685,038,804,369,968,370,316,355,262,
744,800,152,126,184,482,354,233,915,913,609,464,046,182,320,721,378,423,551,
050,984,419,921,786,360,860,164,475,023,372,259,058,985,338,479,066,622,631,
905,480,976,067,317,347,680,253,276,002,184,026,013,956,201,535,388,109,922,
416,519,818,251,399,702,549,786,881,553,422,186,068,136,102,972,104,243,554,
502,497,908,322,413,078,029,561,340,818,430,371,201,658,167,955,010,762,772,
269,542,855,464,696,945,120,617,004,837,615,781,087,290,702,940,962,959,854,
663,498,477,430,579,151,897,807,062,081,173,706,121,798,573,839,716,398,905,
840,937,567,398,937,204,876,249,473,659,282,166,724,367,476,978,405,320,302,
965,009,723,697,649,855,614,614,456,650,434,896,386,766,552,661,654,871,434,
412,533,070,639,424,106,104,090,905,884,150,549,201,287,018,184,776,144,872,
357,972,059,185,653,830,042,859,134,864,615,023,736,629,276,001,679,952,967,
824,344,785,029,921,490,233,578,282,485,792,006,927,019,118,645,253,542,848,
242,963,680,555,597,026,706,049,385,681,261,143,145,858,911,264,607,866,677,
020,223,561,916,331,313,512,614,706,795,677,759,218,077,700,930,705,121,874,
520,543,294,788,937,724,077,875,779,128,031,253,423,175,553,032,067,605,937,
005,970,926,990,508,555,468,719,617,478,498,440,150,277,106,380,060,706,409,
300,780,449,851,907,210,551,284,746,826,022,153,525,100,463,531,422,652,608,
416,295,837,572,719,098,911,427,918,211,053,191,540,240,276,500,921,705,279,
693,695,616,717,127,933,043,069,059,017,457,314,579,317,746,356,347,299,965,
784,260,401,398,023,897,133,597,505,107,127,263,754,821,094,720,802,376,017,
492,289,364,477,422,641,393,665,611,648,822,379,544,706,276,042,368,064,934,
157,823,779,257,612,593,000,189,254,178,030,566,377,318,587,732,785,199,690,
186,006,521,706,217,042,055,148,680,102,028,318,836,853,846,944,605,807,533,
534,721,084,209,091,720,887,217,701,021,519,936,532,042,389,267,220,171,668,
606,284,493,121,793,660,033,680,289,220,903,910,478,656,400,179,611,071,872,
653,108,510,680,040,555,151,083,903,532,445,468,825,510,643,005,004,404,088,
453,670,241,481,015,682,909,803,477,587,333,825,536,136,822,314,869,682,317,
500,059,835,110,354,122,678,760,730,054,063,125,731,680,365,994,513,278,296,
630,037,744,724,640,459,693,883,018,595,875,898,177,715,882,119,344,822,690,
978,091,947,911,625,194,783,689,830,228,248,871,639,952,567,140,236,775,809,
782,668,770,600,276,220,103,767,154,355,114,024,003,257,636,450,119,035,936,
558,248,910,424,359,233,176,382,642,697,644,293,780,031,839,435,905,983,289,
384,105,380,867,975,281,980,754,466,316,477,588,511,352,401,667,279,901,579,
747,657,403,448,159,706,853,723,545,263,878,799,277,852,953,818,403,574,959,
932,678,568,421,754,540,773,923,151,962,724,688,556,496,703,760,184,398,531,
127,360,157,018,039,365,235,817,130,244,834,728,358,829,472,750,650,397,459,
210,013,273,697,578,663,955,591,905,926,971,709,249,340,167,278,552,506,843,
149,789,375,648,966,167,918,119,822,656,667,384,995,785,556,592,243,523,880,
089,557,075,131,955,671,542,238,223,279,866,330,272,132,468,678,476,288,435,
589,394,279,910,795,026,355,941,966,817,580,530,982,748,396,756,744,327,717,
029,668,637,867,927,523,670,894,164,236,266,519,141,630,506,448,436,574,588,
916,657,169,562,934,313,336,518,248,053,129,681,185,154,112,256,428,039,346,
797,427,835,924,644,618,310,305,189,760,621,314,975,353,268,029,063,807,737,
783,525,625,565,626,308,832,850,490,917,915,248,933,451,896,646,236,439,433,
459,630,703,244,229,825,241,764,882,202,750,875,388,843,672,329,559,063,123,
867,438,484,115,107,771,047,122,717,568,367,246,220,645,609,939,562,052,677,
992,243,995,466,250,059,973,846,250,365,069,834,777,295,343,030,523,154,811,
545,103,543,708,664,795,892,298,940,818,930,952,073,817,972,344,534,750,159,
454,834,814,986,355,555,314,218,837,037,028,037,304,332,082,523,473,770,544,
664,991,059,489,300,176,980,865,594,138,464,962,016,347,485,425,488,311,414,
501,243,273,401,612,281,438,175,184,042,587,311,663,835,626,313,893,928,527,
214,872,778,395,173,631,296,748,499,786,473,627,775,336,368,908,312,335,227,
313,845,963,642,514,462,397,659,083,571,980,552,836,254,134,553,632,579,245,
950,030,334,091,176,301,066,846,056,178,411,777,883,646,839,020,714,073,943,
645,073,325,137,282,027,511,613,464,543,859,057,001,779,393,697,059,377,439,
413,766,605,030,559,843,098,998,697,980,903,969,909,902,538,301,350,233,542,
716,046,053,939,359,066,984,677,819,137,396,351,526,298,859,901,170,592,219,
723,838,534,444,875,527,315,858,310,702,657,166,177,404,351,721,680,438,933,
813,439,948,770,018,424,835,155,674,798,740,288,098,201,288,263,768,650,351,
030,200,774,119,925,868,275,047,287,548,036,156,772,326,397,827,770,308,732,
689,609,864,983,122,042,798,246,038,692,387,691,973,985,614,099,793,949,630,
212,490,884,611,798,254,512,491,943,584,003,108,675,985,898,591,806,132,741,
177,564,236,879,751,485,109,928,664,895,675,441,448,151,599,031,516,789,029,
657,567,135,107,317,742,050,132,363,627,765,224,444,748,210,340,482,768,654,
379,837,545,618,727,316,724,048,772,452,105,832,781,935,399,075,979,549,317,
516,683,841,608,297,156,716,604,166,183,461,057,283,167,553,215,989,945,877,
115,358,004,657,751,114,431,062,228,674,219,078,490,670,276,762,706,857,710,
261,394,513,290,128,542,500,298,970,077,111,299,988,696,552,851,814,915,208,
893,177,290,890,191,079,754,373,429,389,633,743,888,157,472,688,374,613,233,
376,829,891,955,781,788,833,425,000,822,316,000,637,635,151,693,406,240,606,
590,009,692,718,428,352,919,753,161,839,403,162,467,205,647,354,298,526,995,
726,949,985,750,781,697,593,869,423,366,093,981,996,537,857,092,172,386,992,
359,518,176,628,305,989,801,760,480,117,714,565,943,763,978,680,138,440,865,
406,749,461,839,199,702,059,592,816,636,213,069,446,175,907,569,012,314,255,
082,880,787,809,600,690,532,483,523,848,850,105,230,802,025,409,622,679,687,
364,523,152,690,932,710,221,400,555,856,154,663,024,630,362,010,329,062,556,
004,879,503,752,557,816,284,485,578,683,583,903,184,417,737,569,197,387,963,
714,486,493,029,112,359,918,206,351,723,937,849,156,048,240,085,623,192,977,
112,766,611,994,505,394,345,285,060,846,495,954,489,289,927,383,221,961,975,
389,565,628,435,540,134,694,389,862,913,243,046,733,979,664,673,377,665,901,
268,089,332,795,495,262,349,642,799,455,153,468,492,183,105,217,313,100,912,
373,193,374,832,051,877,261,094,837,572,503,181,199,655,568,210,235,688,698,
844,071,308,797,996,602,549,262,745,522,681,912,427,049,568,817,632,771,367,
572,095,792,166,096,697,670,435,596,414,829,874,940,255,083,972,455,996,402,
516,863,905,687,267,025,886,385,410,175,507,975,785,856,738,753,539,452,925,
420,717,212,472,670,613,213,476,454,067,831,277,451,786,713,339,792,699,159,
365,190,794,789,257,465,764,824,268,160,829,342,883,985,988,947,263,356,765,
529,597,187,685,017,169,674,646,254,629,608,331,874,279,557,195,814,137,614,
228,013,634,605,443,898,403,153,887,405,007,500,961,562,050,695,700,158,733,
270,319,632,739,608,264,815,252,278,579,216,992,562,876,163,653,211,119,907,
975,367,277,673,454,373,842,350,848,258,126,723,502,357,524,796,082,094,478,
327,196,553,288,402,987,935,335,206,493,885,175,944,522,483,402,117,152,340,
851,447,216,196,498,545,489,240,608,122,830,167,236,830,342,356,332,760,640,
120,721,250,218,480,718,063,778,613,903,726,371,826,634,214,931,754,236,052,
607,755,869,804,546,600,154,561,105,620,111,752,744,010,402,366,003,257,418,
103,253,344,073,722,574,633,104,715,359,920,135,671,741,966,104,301,707,307,
902,598,617,143,280,045,976,857,060,670,112,774,377,177,107,853,612,442,586,
257,344,492,799,742,214,091,429,273,599,459,902,667,007,502,154,915,298,165,
574,803,539,723,752,469,875,810,960,292,825,520,583,729,929,031,151,293,237,
428,954,348,821,632,222,796,795,237,719,519,638,344,102,666,826,787,624,085,
873,481,065,254,737,039,627,389,090,923,105,600,304,653,258,479,364,040,545,
499,630,979,624,268,678,462,237,829,007,771,015,370,434,858,294,794,122,011,
574,070,850,099,214,757,782,188,926,521,916,871,756,388,936,933,057,286,056,
147,669,077,450,854,370,877,219,206,744,483,985,557,164,666,912,316,831,970,
674,733,637,603,411,268,071,423,493,331,723,205,444,066,563,559,000,652,172,
823,611,730,901,338,484,722,083,057,250,758,786,502,642,568,415,795,980,527,
009,574,431,768,307,067,151,769,405,091,517,380,972,319,112,159,469,826,068,
790,407,157,919,685,460,767,595,930,981,520,605,982,293,229,559,764,077,928,
687,440,122,137,748,522,610,598,100,486,739,472,984,180,262,309,265,857,886,
873,632,333,368,403,759,489,487,392,435,878,221,784,810,195,293,412,032,440,
233,383,678,749,551,683,600,628,523,145,888,976,130,993,690,840,922,431,793,
447,188,140,868,134,912,425,968,379,887,186,827,830,923,782,005,007,100,058,
917,455,626,426,161,697,909,572,515,067,070,128,547,570,901,892,023,744,613,
599,336,430,719,782,172,861,466,082,264,918,224,243,311,149,190,993,585,868,
090,011,032,119,315,661,820,218,790,122,680,675,247,856,752,940,498,208,520,
444,510,160,849,737,114,152,519,439,131,593,489,328,565,130,659,965,517,321,
860,863,335,031,135,644,108,908,328,477,808,941,253,275,237,059,514,922,255,
796,461,429,814,492,319,765,942,281,228,634,163,975,247,922,460,023,303,783,
393,646,314,135,314,329,699,917,263,370,544,623,103,920,174,635,204,607,482,
664,219,318,480,048,859,932,364,241,246,379,066,918,527,316,330,376,984,011,
781,728,102,506,152,630,859,601,686,726,362,878,058,178,952,775,713,237,281,
270,340,806,421,969,782,094,443,533,720,742,159,660,032,044,698,065,022,563,
440,262,898,486,326,360,470,574,887,070,897,343,247,153,711,756,450,550,677,
055,899,523,655,993,640,987,490,199,986,130,329,244,458,240,398,230,694,103,
625,522,779,855,981,727,611,357,869,199,568,503,115,797,957,519,009,462,480,
773,475,865,046,427,164,985,228,661,745,911,854,224,169,707,930,487,366,260,
491,592,867,180,019,810,286,769,380,809,329,442,479,206,347,099,803,029,760,
376,543,274,137,136,587,930,814,010,356,150,612,975,607,613,523,797,048,833,
222,411,867,697,130,678,110,536,163,453,989,046,092,019,283,443,672,150,662,
676,188,046,771,299,616,848,358,399,923,211,043,708,976,402,923,472,068,054,
257,322,934,783,586,959,762,404,156,712,127,597,719,311,567,687,057,676,756,
901,082,034,212,230,206,744,511,552,027,464,466,460,927,798,986,754,931,189,
928,737,395,057,016,733,493,084,178,899,143,804,840,909,240,236,370,144,777,
414,497,682,624,480,158,695,447,087,042,339,617,026,804,702,169,653,652,600,
514,687,482,239,485,442,062,051,734,081,043,108,465,981,045,571,776,713,706,
948,848,986,479,309,320,618,232,306,524,645,786,732,051,360,473,835,316,521,
231,309,244,565,593,213,405,659,784,626,889,863,311,787,072,810,436,326,692,
268,231,331,742,461,847,676,414,458,837,003,646,771,656,870,153,270,412,444,
182,253,856,352,556,068,191,764,118,168,725,915,745,365,658,973,611,792,155,
207,261,193,640,062,583,967,006,674,680,541,471,165,054,735,469,118,656,833,
238,070,237,824,562,302,415,149,339,017,883,896,677,699,973,842,898,836,030,
537,052,617,792,007,322,627,796,145,282,363,638,442,623,405,560,303,080,971,
864,139,644,595,890,718,400,501,643,073,164,145,574,376,460,830,614,950,785,
857,416,486,047,041,293,904,313,898,767,524,628,443,739,526,655,910,531,704,
238,474,604,069,225,397,825,963,305,592,931,297,229,033,628,761,294,896,133,
199,602,213,609,442,217,698,528,243,649,876,109,352,472,825,882,596,858,495,
716,559,718,775,501,547,767,679,241,502,590,952,038,647,572,233,153,226,152,
669,630,917,996,745,830,751,300,935,794,873,287,497,260,932,617,590,183,377,
808,521,084,497,982,325,189,165,709,431,000,293,153,067,186,157,565,309,080,
212,589,211,725,827,018,106,904,071,182,493,009,333,863,498,645,090,865,679,
727,781,550,242,996,890,313,211,706,032,797,375,974,874,592,251,224,577,863,
500,179,635,568,322,138,345,665,716,503,744,388,080,851,413,073,048,927,012,
014,506,865,143,690,261,204,875,214,379,354,008,617,816,410,486,214,675,129,
305,941,280,465,334,061,691,933,914,845,268,809,537,251,762,153,281,897,301,
835,854,525,185,338,939,224,748,357,679,554,673,564,296,023,347,514,870,841,
826,465,011,815,478,911,381,462,463,122,893,765,660,371,591,386,754,518,316,
375,886,635,067,076,075,179,619,861,289,772,909,216,184,451,104,238,076,917,
341,958,716,688,258,034,674,280,136,102,678,021,978,530,614,332,283,492,499,
704,329,484,921,195,482,824,312,073,243,765,577,980,052,060,478,130,999,736,
638,453,888,625,628,905,979,354,956,997,301,974,658,736,230,324,724,954,138,
989,999,498,848,917,719,590,178,751,318,221,219,641,894,099,454,399,702,765,
413,679,695,906,879,570,479,292,010,800,992,647,434,347,874,882,321,055,011,
194,942,987,994,846,956,002,881,793,431,890,871,296,600,075,851,804,634,041,
669,424,917,030,652,717,952,710,625,604,257,417,729,827,954,019,847,426,767,
083,486,805,280,075,560,252,606,140,077,988,618,710,365,459,232,668,733,147,
510,185,703,214,114,678,561,273,649,168,109,666,141,134,942,189,459,943,370,
732,573,600,224,427,855,729,725,724,425,358,309,326,050,139,581,629,656,995,
585,982,515,303,968,166,863,287,568,786,722,293,182,911,780,156,633,548,055,
153,708,450,977,183,466,926,772,785,954,146,173,559,764,749,687,026,243,495,
909,390,263,385,283,967,644,466,007,214,913,332,410,160,345,395,524,885,261,
663,235,838,813,225,734,749,971,228,922,521,485,393,401,961,515,548,487,371,
792,000,672,221,329,611,276,375,542,558,892,439,069,073,119,322,401,288,775,
809,750,122,917,077,345,337,431,011,039,989,945,879,247,732,054,586,091,662,
262,294,265,119,321,136,936,727,082,836,029,499,001,275,938,449,578,801,226,
558,808,529,549,534,972,170,442,667,013,114,999,245,579,445,531,715,670,235,
313,084,560,507,560,805,342,407,998,810,427,315,125,688,145,638,916,549,149,
637,369,025,073,825,999,617,274,737,976,558,225,840,502,908,442,221,121,818,
886,390,651,797,153,067,593,206,615,009,172,363,050,313,435,332,335,580,452,
177,289,938,298,566,881,867,486,873,868,926,399,193,626,486,505,660,141,146,
726,359,696,524,914,125,354,657,857,865,389,899,888,454,616,979,888,935,668,
359,167,804,562,677,573,503,692,666,014,668,873,857,859,483,857,401,239,825,
777,327,453,629,918,372,793,238,368,974,658,280,356,127,983,629,565,230,447,
323,310,444,020,367,101,846,266,644,328,236,375,444,688,643,360,731,225,331,
486,633,855,121,751,860,828,281,211,670,560,492,664,752,574,517,690,663,182,
497,538,087,278,949,289,863,924,105,099,458,417,594,443,198,041,675,108,620,
732,761,923,848,867,398,854,164,699,325,662,673,046,407,043,073,065,541,203,
370,808,710,344,475,789,885,048,290,657,330,283,776,112,884,920,449,036,087,
472,067,648,033,681,821,375,087,097,036,534,423,889,004,516,648,537,492,392,
134,431,619,957,750,368,233,598,748,016,972,629,174,203,122,022,936,661,575,
012,554,520,561,603,751,403,057,744,999,968,452,903,537,594,456,967,162,070,
193,319,770,768,937,511,673,790,462,843,028,225,631,504,781,834,862,751,394,
556,943,402,970,895,574,830,180,722,518,282,888,033,762,273,363,303,129,089,
629,352,132,043,773,694,208,822,700,188,039,329,727,979,860,449,291,666,615,
142,804,121,697,746,475,026,754,335,059,950,997,585,040,260,289,072,969,540,
417,978,995,929,478,814,174,296,300,942,925,035,990,832,494,744,443,320,274,
049,533,661,814,759,549,085,553,033,346,328,892,451,368,519,544,053,970,366,
724,688,167,502,609,953,686,530,569,402,562,208,399,505,611,385,681,483,811,
932,067,043,882,870,380,931,789,673,652,000,865,282,944,103,596,802,682,703,
596,393,347,041,664,668,270,354,010,079,975,760,313,472,733,982,372,790,782,
407,292,572,435,471,546,016,192,143,618,997,874,024,341,595,187,116,886,307,
658,909,163,468,845,772,602,639,881,735,349,705,257,236,025,125,216,676,174,
566,072,736,010,801,417,428,700,795,765,129,485,102,130,941,569,167,824,790,
046,787,968,434,677,916,038,990,975,196,095,702,394,953,854,445,904,577,431,
636,636,307,561,467,690,511,326,022,710,112,880,494,076,721,810,945,535,090,
038,025,040,330,861,935,628,861,308,112,802,015,643,058,568,945,715,484,745,
722,240,457,471,911,747,232,645,812,639,912,576,729,397,958,854,031,602,769,
731,294,433,550,120,472,650,547,923,377,842,882,874,113,816,918,134,851,934,
758,633,679,239,746,187,750,764,855,351,857,934,580,110,109,623,942,244,366,
403,221,193,720,467,310,966,272,895,022,703,576,647,812,258,844,152,150,255,
639,773,280,948,509,454,733,453,716,664,394,728,918,531,673,117,391,112,174,
802,818,979,314,035,844,751,848,922,025,491,282,292,600,687,195,259,317,280,
631,687,606,169,996,645,946,409,758,850,819,545,229,182,338,082,269,907,132,
131,904,246,755,663,476,981,026,708,885,260,825,128,562,286,767,032,868,333,
568,948,398,349,784,007,221,673,675,247,717,942,146,509,531,404,931,776,836,
665,811,126,099,890,949,123,825,430,166,212,647,259,848,874,401,751,011,597,
643,566,814,900,040,658,741,872,496,650,541,760,045,776,055,388,303,739,710,
415,840,485,925,644,866,665,799,116,267,808,408,208,029,563,904,297,792,719,
258,484,083,031,752,219,590,346,019,597,173,620,251,399,968,365,714,253,402,
136,291,268,346,107,648,407,372,803,311,583,697,002,830,039,659,409,378,216,
810,677,364,939,170,154,916,444,031,755,431,708,159,076,116,706,295,913,941,
921,509,969,532,965,542,579,878,989,796,367,915,158,923,560,132,075,694,855,
835,669,957,409,315,008,366,403,628,353,501,412,302,003,302,502,306,251,582,
400,837,172,597,768,360,999,167,876,558,906,637,749,690,299,518,179,234,212,
238,870,543,678,551,152,919,815,019,224,172,546,895,889,819,917,123,068,930,
053,182,320,731,727,176,478,056,413,056,113,696,394,393,139,152,227,783,000,
595,935,269,306,154,472,114,676,253,114,068,460,172,590,675,000,101,507,329,
516,262,524,485,345,884,785,602,231,636,821,461,467,012,358,940,781,526,446,
142,368,334,198,816,009,428,646,551,671,968,618,643,036,227,909,800,328,726,
092,056,034,516,302,944,662,700,217,088,438,738,886,752,194,464,065,403,371,
361,292,968,829,695,255,697,373,668,789,780,247,688,886,707,319,436,406,194,
745,565,595,627,761,191,562,107,776,102,388,156,744,764,489,874,776,181,683,
134,450,569,291,190,585,366,065,115,008,430,867,921,109,188,684,274,620,278,
939,959,141,840,083,177,052,711,040,738,604,348,997,762,786,508,936,295,517,
009,135,897,264,562,097,458,726,391,551,668,567,349,141,349,665,845,975,224,
598,611,168,977,259,397,046,950,250,378,375,789,851,159,926,379,007,275,921,
789,157,950,849,090,010,101,358,600,157,952,717,443,033,872,175,415,013,459,
184,177,473,739,147,457,617,497,426,397,317,334,932,534,365,639,025,035,585,
724,262,049,880,382,745,054,474,940,587,504,484,227,828,294,250,499,716,589,
687,741,737,784,726,002,115,058,241,196,552,497,329,179,106,656,148,051,336,
789,647,289,164,619,549,275,396,643,961,540,018,124,291,526,221,560,287,519,
068,852,413,786,905,900,677,800,785,473,039,295,200,212,837,816,496,282,989,
059,803,801,705,305,392,437,733,401,381,306,067,154,438,763,830,038,748,919,
406,073,266,693,294,697,855,382,263,893,494,118,257,360,043,251,932,561,243,
776,989,642,678,818,420,790,231,209,343,677,809,723,825,823,921,402,516,443,
175,403,680,714,239,603,954,257,534,315,030,346,357,685,584,259,907,380,381,
660,992,739,505,875,686,913,367,879,524,867,702,397,345,750,729,696,703,402,
895,128,315,286,053,160,439,932,641,878,410,841,633,161,047,611,268,578,645,
849,834,266,077,599,312,843,049,477,512,055,780,683,025,166,087,402,079,602,
382,687,114,279,173,499,213,573,924,109,908,262,337,516,882,333,375,114,319,
310,189,452,015,725,932,311,523,553,123,521,570,430,329,611,906,655,186,459,
260,137,312,790,786,002,209,245,996,527,398,107,569,693,015,857,486,950,290,
146,074,741,709,156,994,207,144,726,593,549,242,591,741,206,853,520,877,091,
561,499,581,039,792,195,906,054,717,694,437,602,185,744,802,582,069,992,835,
228,771,556,477,861,668,760,309,669,552,073,420,228,278,771,266,978,958,586,
974,673,040,192,567,084,829,827,955,212,941,264,072,705,631,540,999,841,464,
694,105,033,175,805,055,440,065,921,447,297,816,934,367,866,478,230,113,832,
979,744,066,666,154,464,493,151,508,532,433,336,672,723,516,120,246,428,657,
525,101,474,300,940,774,205,881,494,537,256,452,883,937,524,063,745,187,032,
228,199,978,155,302,781,501,238,653,419,638,679,779,740,741,467,341,932,601,
149,718,402,825,704,940,520,684,454,289,887,443,033,191,840,760,402,152,598,
100,991,544,494,103,706,858,926,306,159,605,978,892,522,026,393,650,953,542,
566,451,051,389,141,751,653,925,877,875,596,317,328,473,113,049,454,876,864,
279,343,368,313,093,332,353,604,803,679,271,063,746,083,960,340,994,565,549,
506,821,718,753,933,864,051,201,773,158,411,045,237,417,564,818,342,294,953,
203,767,570,196,030,795,252,265,235,462,183,506,298,935,523,846,482,985,237,
235,579,151,035,902,158,982,547,128,564,014,292,460,649,801,469,647,355,877,
678,840,612,115,100,795,338,613,761,990,284,778,669,182,806,971,801,077,321,
507,630,509,548,011,185,699,629,564,884,589,525,629,884,071,411,359,953,312,
388,706,190,761,979,483,989,715,170,176,087,781,245,228,768,485,481,968,411,
046,378,927,596,027,508,847,306,186,130,951,591,474,804,157,103,242,609,504,
182,434,813,868,141,381,692,356,300,471,573,214,881,248,923,996,600,228,127,
309,804,487,261,650,321,344,231,426,959,419,496,150,117,102,059,382,719,549,
453,590,391,309,034,546,403,194,169,293,161,371,238,132,169,750,779,040,741,
608,883,326,899,256,977,160,058,965,670,334,806,858,196,722,764,533,287,740,
848,383,286,746,297,241,237,653,592,914,743,873,515,972,846,442,786,901,722,
303,497,014,161,917,729,044,333,486,431,855,828,067,015,303,606,951,430,870,
695,598,226,836,337,029,736,185,135,083,045,794,415,660,812,603,990,468,694,
228,165,405,034,166,293,127,069,687,583,721,744,454,929,687,135,159,005,625,
785,881,913,930,851,585,915,171,388,297,906,282,324,754,765,372,281,031,132,
607,264,005,442,392,041,729,615,701,444,944,905,958,785,788,630,223,541,849,
046,919,824,960,858,119,579,721,582,704,471,690,118,774,141,623,916,287,134,
986,949,593,027,646,824,684,593,091,441,562,711,630,774,623,772,465,522,246,
269,754,203,194,537,314,131,179,663,100,853,400,473,568,042,537,680,459,935,
003,201,725,086,041,486,030,609,897,618,619,918,448,564,309,347,104,258,377,
493,575,257,541,476,946,832,564,725,435,307,815,459,371,344,538,185,772,628,
078,192,309,774,263,269,213,619,278,401,440,260,159,189,214,395,193,189,157,
451,344,569,891,212,286,826,612,541,176,134,961,836,391,101,516,816,465,782,
522,578,696,383,700,650,820,224,310,328,388,319,519,966,057,870,851,048,038,
435,931,546,403,839,565,953,762,343,123,144,953,605,282,352,591,913,230,308,
587,085,022,747,451,553,102,264,012,007,830,865,591,679,960,128,788,979,219,
946,940,722,481,145,957,340,424,833,560,281,056,563,454,667,416,162,318,127,
367,375,903,220,761,559,626,759,442,422,982,593,223,808,247,170,948,804,242,
637,789,216,240,645,203,933,978,008,634,842,418,449,884,474,945,803,993,494,
776,454,969,276,687,937,156,172,284,994,000,679,910,891,053,165,396,307,154,
240,928,658,979,456,641,831,144,112,885,201,653,474,509,988,563,371,313,743,
432,216,106,717,544,383,461,015,671,404,758,713,960,650,538,739,637,752,082,
618,736,757,449,604,391,854,097,735,857,952,062,558,950,930,745,871,601,712,
989,126,837,487,539,032,750,722,561,173,123,937,681,540,731,369,114,904,711,
949,428,000,640,489,004,667,233,737,354,816,228,870,412,841,710,804,593,905,
688,541,686,502,579,470,704,381,708,055,041,124,294,241,571,391,102,109,526,
593,628,098,913,773,222,050,274,374,577,770,200,031,624,723,148,832,456,939,
537,162,758,661,450,681,642,656,769,755,457,341,015,175,491,975,788,357,633,
958,791,093,663,405,692,861,379,497,275,397,399,214,135,524,479,762,820,232,
511,561,493,966,126,311,630,509,912,849,024,687,705,746,320,276,250,378,317,
027,988,156,644,620,111,045,780,908,815,799,688,824,398,104,067,226,098,559,
863,403,195,132,805,674,206,872,264,566,567,873,681,890,738,240,340,151,150,
699,503,879,029,345,189,268,757,446,361,905,166,314,690,912,896,886,542,974,
031,976,734,157,397,222,813,746,129,357,584,164,494,697,321,431,704,611,810,
384,609,539,704,212,494,427,827,602,613,781,849,823,077,424,878,352,045,756,
198,630,258,870,862,270,432,368,628,447,782,792,132,652,747,123,914,927,927,
613,342,970,323,139,239,916,717,885,630,200,834,666,601,358,544,356,154,560,
072,261,081,957,125,887,448,231,834,016,260,716,313,988,380,889,706,784,661,
211,543,222,971,072,919,172,055,771,059,245,412,637,477,433,203,531,427,090,
077,822,769,878,364,029,521,425,112,643,165,459,651,024,050,732,148,283,981,
003,369,124,568,894,508,927,457,533,244,362,093,485,318,141,199,350,797,984,
912,157,279,229,775,911,910,960,159,543,276,373,894,082,755,835,767,532,191,
282,046,889,150,286,259,491,521,249,365,160,923,298,729,172,314,119,942,536,
283,151,089,637,881,330,892,885,057,198,873,950,135,469,178,946,337,143,968,
141,985,865,161,203,029,724,126,801,623,378,255,805,745,180,905,638,241,712,
797,917,677,235,691,955,269,284,641,857,948,415,456,320,898,373,516,437,512,
022,480,814,610,205,946,475,235,876,748,291,723,743,963,701,367,765,987,149,
298,921,623,032,157,977,011,076,538,392,695,376,849,389,455,988,235,414,742,
340,737,584,173,846,728,154,363,417,263,887,130,011,148,707,355,294,784,364,
078,802,286,844,590,463,143,807,090,147,321,482,563,275,599,113,112,248,022,
609,030,390,066,226,922,155,872,858,945,767,515,331,357,930,223,570,519,676,
954,762,298,066,110,471,228,153,054,487,143,380,961,306,049,252,992,500,602,
326,353,849,504,865,293,391,251,675,524,363,226,529,310,792,224,071,729,973,
490,555,904,018,082,889,128,673,055,873,229,891,305,521,279,939,441,271,165,
949,550,323,369,984,237,725,249,627,986,136,630,892,514,377,432,251,566,428,
272,435,783,910,835,206,481,662,090,903,368,116,317,273,019,978,488,997,140,
815,148,191,998,946,306,043,993,069,450,414,293,122,299,225,018,531,465,101,
467,829,141,863,733,738,492,312,468,061,858,238,916,973,235,222,043,270,969,
783,346,228,422,345,283,636,917,388,919,373,703,881,817,838,043,314,843,806,
938,358,163,985,443,037,979,836,005,998,913,855,045,897,318,446,062,592,745,
775,891,669,645,111,734,504,376,424,966,657,714,264,516,627,350,852,089,401,
245,472,755,735,997,476,553,637,158,931,099,062,837,096,340,234,187,893,723,
134,649,041,629,315,417,302,357,143,223,539,052,531,121,018,674,913,870,706,
414,283,189,676,281,120,760,932,778,814,984,947,359,324,181,359,324,557,457,
217,622,017,806,513,829,177,651,287,322,795,428,031,781,391,645,549,860,168,
029,889,434,876,304,938,505,166,811,171,896,241,215,457,871,448,753,729,447,
399,811,720,746,292,682,420,846,168,079,391,071,904,854,052,969,557,904,950,
040,879,742,153,292,468,921,165,695,002,545,606,430,811,985,656,701,863,993,
000,628,111,519,165,329,062,904,172,296,407,353,383,369,250,867,338,175,486,
271,870,029,094,464,175,613,365,120,633,173,701,378,980,498,259,525,908,422,
605,867,745,042,872,003,362,716,083,231,218,467,038,665,739,938,524,520,802,
297,010,996,224,701,218,071,052,772,454,711,604,774,226,279,479,883,903,395,
841,091,170,631,105,517,313,265,786,963,083,506,964,059,514,436,544,657,922,
531,176,373,981,406,646,477,967,911,543,096,428,107,310,416,627,869,538,517,
864,478,084,800,469,219,197,654,121,611,726,948,875,416,470,865,042,564,742,
448,325,424,694,004,785,950,317,497,985,734,026,893,743,090,068,668,846,521,
155,531,319,559,233,339,301,245,440,131,620,925,591,854,886,247,438,682,826,
321,903,593,838,891,659,463,929,352,384,963,056,704,065,175,224,341,244,555,
198,234,012,748,365,850,736,834,627,296,379,909,502,820,652,476,192,644,320,
106,925,086,704,126,589,248,807,581,529,941,512,187,760,458,662,705,749,200,
961,227,388,215,682,494,834,258,070,427,760,391,364,183,083,487,401,631,892,
980,818,426,355,940,501,634,894,160,431,990,479,678,949,766,455,806,291,877,
006,555,614,059,816,472,855,321,021,747,231,135,565,069,241,617,305,853,267,
467,998,733,821,927,742,576,388,291,143,294,378,247,545,951,636,254,694,521,
908,599,849,431,940,279,079,974,501,880,172,787,719,812,257,189,290,000,794,
033,050,970,620,775,137,826,855,989,867,949,193,416,942,615,958,748,415,644,
052,074,740,472,972,798,910,814,865,740,270,347,203,179,440,927,401,942,194,
792,907,359,202,930,386,136,590,479,548,364,878,729,949,331,073,892,684,703,
890,567,751,532,872,897,486,425,861,522,974,925,852,197,870,991,504,567,952,
513,582,918,382,762,338,880,113,089,919,146,809,195,350,259,366,538,632,202,
404,806,306,660,869,259,903,105,443,337,101,353,811,595,624,678,079,858,137,
348,317,123,808,901,276,386,040,329,676,992,466,579,641,445,361,713,166,559,
493,801,244,357,384,731,013,118,182,405,084,326,358,672,477,987,137,061,468,
247,294,758,777,684,122,777,939,671,099,322,017,047,241,314,266,020,988,611,
001,000,076,312,549,761,964,991,183,485,035,957,186,587,792,713,603,983,114,
367,477,351,457,148,228,962,812,882,493,935,921,822,736,340,065,005,527,514,
736,152,586,221,687,014,448,690,117,809,317,226,119,999,682,510,717,778,608,
247,336,661,043,988,395,142,204,526,759,170,735,282,449,702,065,645,165,671,
728,661,760,281,462,154,261,235,011,437,173,031,633,118,937,085,167,450,707,
513,744,240,072,181,690,213,878,073,243,046,976,036,805,569,792,825,381,992,
900,816,640,787,146,230,548,487,120,484,091,082,091,331,684,211,947,482,485,
852,415,978,400,747,808,835,891,694,450,495,883,113,000,125,777,826,449,127,
386,635,300,059,369,416,787,791,611,615,740,900,501,044,198,579,868,377,504,
800,599,840,344,160,221,165,995,984,955,063,490,640,235,333,925,626,948,391,
180,119,086,222,804,318,500,566,919,964,007,838,842,234,925,506,878,311,244,
864,171,254,042,567,462,315,486,586,918,883,373,310,719,953,287,687,377,870,
545,643,198,401,700,515,459,947,346,905,439,441,511,241,078,887,778,834,622,
004,350,123,209,246,400,795,239,243,215,368,946,049,943,200,755,484,296,699,
880,362,424,396,398,676,351,495,436,986,614,816,671,961,515,900,659,693,686,
167,278,041,083,385,180,389,662,522,458,100,831,404,906,720,217,661,548,835,
263,075,638,794,707,286,544,869,137,166,017,500,220,138,525,158,283,096,442,
206,037,546,785,955,662,065,680,681,271,839,130,715,830,355,773,943,086,407,
626,021,154,357,459,939,785,258,345,629,430,287,769,024,681,718,268,345,770,
110,438,896,996,774,617,025,330,055,400,611,750,853,171,918,923,845,994,555,
441,559,088,944,289,335,712,438,649,212,189,012,764,104,065,458,958,783,826,
300,547,148,233,995,923,681,109,017,968,122,274,958,727,052,764,803,648,875,
848,672,025,815,287,942,860,130,076,185,215,266,383,390,094,324,403,527,841,
852,166,045,941,531,142,263,274,371,772,876,491,215,381,855,005,933,187,874,
607,681,714,943,113,491,804,517,732,453,093,484,352,981,207,700,853,741,986,
768,304,602,443,469,616,978,033,457,579,745,922,144,339,695,669,424,264,256,
454,512,063,324,563,016,726,865,757,273,502,052,447,063,821,485,800,875,581,
173,061,974,913,801,135,573,159,082,224,935,375,740,068,234,274,443,469,363,
523,220,484,902,514,019,225,302,720,544,346,324,853,386,407,657,373,425,545,
795,606,567,880,477,622,094,217,008,088,566,335,712,567,579,893,990,815,559,
490,745,476,435,159,294,239,155,920,294,929,622,434,255,538,969,430,623,477,
688,348,695,611,154,390,259,808,255,879,697,910,793,883,107,974,012,494,555,
879,320,061,644,643,082,264,929,069,763,081,170,867,398,008,794,337,126,144,
458,352,848,807,139,508,381,324,620,967,255,286,607,382,156,099,269,896,754,
971,237,884,812,399,396,591,923,696,252,094,619,752,748,421,813,079,785,183,
625,712,249,255,773,044,996,314,533,089,940,733,363,492,757,790,991,150,656,
119,852,200,493,789,435,770,720,592,750,057,725,467,810,856,877,222,576,878,
944,257,977,176,444,220,500,704,975,986,668,702,796,343,242,951,015,755,593,
059,129,917,702,770,137,178,178,924,935,440,757,578,337,488,841,579,667,959,
540,734,747,177,510,072,902,421,403,311,429,840,498,222,868,085,632,719,984,
560,493,491,330,341,986,594,906,716,873,257,380,554,000,590,839,845,284,845,
056,268,950,062,633,024,924,253,881,325,721,404,536,430,620,038,323,583,268,
752,318,717,043,569,035,773,433,987,326,271,840,648,126,907,144,104,176,666,
073,336,446,631,071,793,596,601,689,050,142,959,509,499,606,378,701,190,047,
142,659,079,459,003,114,459,120,580,830,810,913,324,205,213,045,208,297,689,
038,434,408,576,810,734,190,953,964,784,509,944,304,635,110,739,857,960,019,
003,806,302,412,684,532,236,798,131,273,807,129,918,080,824,854,499,143,732,
870,516,359,223,799,369,669,786,559,011,166,248,209,342,825,167,522,701,742,
305,033,672,293,789,620,751,343,404,360,891,196,800,729,083,507,372,894,261,
310,790,674,051,177,257,784,865,058,714,405,786,370,807,100,568,244,542,099,
961,809,491,216,422,885,272,106,640,472,602,345,236,387,520,537,678,772,728,
124,515,230,107,708,281,952,739,984,929,811,772,329,417,688,767,386,244,551,
985,957,079,426,410,264,546,563,974,613,304,314,258,955,784,475,597,263,781,
162,731,798,387,504,469,736,930,194,149,550,314,276,804,653,289,388,184,338,
595,731,873,039,221,497,312,726,556,129,994,262,567,741,083,454,468,409,980,
575,784,605,435,734,126,370,750,859,308,458,374,948,679,704,749,116,590,121,
546,659,552,554,096,462,768,649,868,135,010,995,602,690,743,221,597,288,496,
132,245,774,799,345,781,433,963,737,607,092,308,526,888,114,748,199,514,947,
278,042,065,240,396,763,733,120,010,931,571,303,209,950,760,805,995,310,321,
552,806,815,996,994,167,958,092,009,676,740,455,493,209,266,737,697,043,939,
162,226,550,608,318,068,296,740,115,041,577,416,216,575,232,611,469,748,387,
990,045,180,639,046,046,059,224,489,272,158,510,957,712,393,608,335,688,231,
540,324,495,876,631,969,270,133,966,384,610,848,016,116,458,175,456,797,814,
423,544,156,650,063,466,349,268,098,566,661,537,094,205,396,509,924,955,074,
220,985,317,606,894,762,455,156,516,175,243,946,428,205,729,705,311,025,845,
126,431,788,839,437,647,847,763,946,389,468,035,968,793,627,209,756,227,579,
890,686,620,772,204,205,854,050,156,863,060,017,865,298,028,836,840,941,408,
514,680,102,536,526,729,736,323,703,521,733,328,995,148,751,961,814,416,804,
749,290,580,608,366,142,936,439,604,840,583,606,761,981,331,610,305,368,283,
585,954,752,038,625,416,300,658,628,650,662,400,723,431,684,379,460,659,726,
794,865,054,403,093,812,361,408,170,909,614,967,128,706,462,032,056,635,448,
692,862,929,127,253,319,032,017,567,312,433,714,367,076,550,475,808,431,528,
840,124,899,535,783,301,986,859,701,198,803,917,401,892,832,078,243,700,009,
517,225,745,319,908,255,333,758,484,951,570,551,456,081,670,156,279,384,628,
123,048,330,304,903,608,357,560,385,311,836,052,521,071,514,164,292,253,772,
895,453,091,399,800,468,366,073,913,409,762,338,147,680,963,121,459,914,953,
419,181,732,759,826,039,988,566,950,631,918,165,943,154,948,002,517,885,860,
879,743,058,266,187,816,963,190,765,331,452,942,350,749,084,379,466,065,907,
336,803,026,123,395,324,290,241,862,987,377,950,624,686,036,885,467,898,645,
400,837,865,223,609,002,642,420,153,074,911,699,333,441,000,088,668,157,981,
652,529,296,204,622,943,422,555,576,816,721,988,573,697,994,250,340,043,314,
767,440,961,592,190,494,698,105,902,373,434,378,650,036,361,174,620,550,536,
969,827,406,014,748,132,998,746,675,305,148,220,300,204,638,611,508,035,882,
191,030,798,478,085,944,885,536,827,592,256,720,225,410,909,543,799,445,937,
652,534,350,985,099,696,332,538,292,138,609,845,266,407,463,762,358,917,591,
259,455,025,697,190,126,700,922,860,957,342,902,559,597,667,536,301,399,913,
247,012,017,619,591,498,031,943,821,319,337,234,929,571,405,029,048,584,762,
752,208,282,154,737,517,086,212,411,127,312,840,249,571,815,202,638,133,492,
672,278,547,551,814,958,214,375,528,574,608,076,247,181,573,703,397,219,179,
160,484,676,685,313,417,493,037,600,693,292,202,594,730,946,752,790,526,068,
308,965,208,926,091,624,020,131,415,514,356,884,119,849,964,967,768,563,241,
440,555,287,433,877,270,678,227,616,134,323,758,159,099,759,485,151,829,619,
667,819,880,750,753,971,239,014,766,007,391,427,339,628,508,673,586,845,468,
726,874,865,437,760,675,333,523,022,690,157,513,920,290,440,600,372,098,077,
932,183,277,833,150,110,288,195,018,037,849,981,287,161,123,895,689,704,465,
617,804,971,452,260,449,379,126,518,734,265,583,379,105,426,733,951,019,430,
568,922,024,496,525,392,176,683,429,265,896,745,686,226,997,165,056,544,148,
578,409,657,244,628,952,059,456,943,344,698,566,007,207,211,722,950,697,231,
474,280,762,152,116,763,749,034,773,491,451,563,293,482,067,961,539,080,130,
522,970,061,361,533,510,566,443,789,491,433,503,927,131,006,873,894,177,746,
460,112,836,653,713,885,813,733,693,865,568,288,787,343,002,664,001,420,757,
192,145,434,519,741,085,265,898,128,843,598,985,042,116,271,671,351,551,925,
237,308,805,262,207,340,495,114,647,333,975,892,588,788,394,957,868,413,838,
118,893,182,862,192,606,571,832,639,463,500,789,734,844,541,912,583,365,056,
735,948,148,985,151,372,762,774,566,755,622,280,959,932,607,174,442,851,458,
496,317,756,342,681,511,335,517,531,046,869,705,648,670,734,452,890,292,748,
209,973,026,698,729,515,632,714,828,886,779,230,553,415,931,795,338,790,055,
332,564,896,637,298,122,179,595,971,890,428,977,506,169,538,832,806,396,709,
038,738,476,542,178,924,891,280,136,186,686,216,503,566,595,316,192,836,832,
718,850,994,448,891,878,918,558,124,336,287,675,957,469,900,993,689,337,754,
736,680,995,398,463,788,616,212,850,817,108,947,916,352,349,167,779,236,981,
794,611,217,961,073,075,837,166,825,241,045,397,530,607,599,982,529,017,808,
239,371,123,474,131,023,051,707,095,616,854,442,567,501,111,024,947,313,922,
448,974,334,100,961,074,102,303,476,577,140,876,480,424,337,703,929,800,926,
620,550,574,656,253,524,767,874,928,024,611,355,463,065,628,233,845,649,209,
758,584,987,874,903,464,539,668,003,591,830,314,441,654,493,986,350,092,125,
754,634,718,766,517,337,567,536,935,573,794,145,797,361,291,577,679,290,174,
655,959,290,159,190,208,587,553,613,571,969,039,469,751,147,431,264,914,568,
486,629,830,799,044,462,557,381,640,139,578,527,110,547,323,321,037,575,355,
190,974,316,875,674,419,902,691,515,295,669,141,197,752,014,956,744,813,115,
352,275,662,439,123,525,513,319,526,859,781,136,403,036,421,862,989,153,644,
615,975,683,939,567,880,746,996,164,003,529,615,962,378,540,134,352,864,539,
080,459,829,837,035,318,839,745,569,397,055,296,674,041,319,904,532,937,802,
384,263,618,441,441,776,684,287,981,409,908,675,980,233,228,647,499,866,460,
405,903,731,933,240,752,916,445,764,099,272,856,866,820,537,396,540,093,691,
975,645,424,312,327,508,836,892,356,930,009,055,732,697,794,035,951,391,145,
207,373,940,856,999,641,100,965,375,852,030,483,015,887,660,660,254,141,229,
771,650,403,027,432,022,176,199,584,077,393,164,669,637,085,619,863,636,517,
656,601,213,062,508,491,833,039,859,961,151,284,890,255,949,351,899,528,218,
923,114,204,490,921,655,120,466,402,255,403,866,761,920,176,809,172,379,841,
248,972,832,153,048,453,280,603,838,304,238,479,532,461,234,248,752,751,250,
592,674,986,938,461,445,421,146,791,058,542,891,492,633,207,345,135,486,695,
204,919,256,672,612,380,234,854,620,107,051,287,684,702,324,266,329,894,962,
136,599,107,868,628,086,853,605,834,690,905,247,860,053,042,354,630,373,262,
823,308,943,476,796,883,560,388,751,517,781,328,220,000,503,778,179,780,982,
128,008,815,977,508,946,173,377,091,110,725,760,668,297,516,432,072,564,779,
542,011,454,452,081,848,256,145,434,759,647,491,563,911,123,965,079,965,887,
233,748,780,849,823,475,771,423,311,570,013,364,639,326,393,516,085,479,216,
655,676,664,526,442,284,224,111,835,022,687,193,435,116,241,055,045,096,517,
598,199,449,501,540,812,858,671,920,317,920,306,655,201,982,881,875,165,548,
530,807,845,561,138,388,143,470,210,006,851,582,963,175,147,882,240,882,850,
694,413,190,737,419,418,242,483,428,368,373,619,429,495,564,709,823,385,818,
839,080,110,358,230,895,052,458,085,706,821,411,102,905,765,985,397,225,023,
932,408,595,225,614,464,022,271,684,979,047,162,266,737,539,520,033,285,152,
276,846,542,821,475,586,519,657,119,270,285,592,364,256,683,465,903,638,281,
175,490,537,397,301,720,035,931,888,700,274,347,259,249,891,987,275,012,610,
221,562,119,981,029,022,445,888,814,416,218,678,392,243,782,292,809,479,637,
628,626,471,789,925,769,804,351,620,160,089,784,544,556,306,881,147,415,182,
747,208,869,883,153,867,346,784,887,395,886,375,827,289,406,953,952,733,537,
847,161,123,236,951,885,003,216,796,464,698,822,738,074,025,966,926,100,856,
830,259,198,718,175,944,459,204,050,527,966,221,737,516,563,229,037,526,103,
026,283,564,991,370,168,939,341,591,368,907,070,890,788,928,265,132,294,416,
550,686,789,334,464,611,857,898,416,079,453,853,781,444,639,122,216,076,505,
597,106,377,097,919,385,926,879,674,200,738,311,898,965,066,347,455,343,913,
551,856,765,219,289,455,690,488,203,307,110,797,064,269,951,110,219,038,441,
434,896,512,000,416,710,984,012,519,903,437,654,707,651,815,306,161,464,790,
192,995,500,640,739,644,569,721,573,251,822,084,562,898,414,766,722,442,648,
648,874,567,725,361,003,492,633,470,087,166,729,901,026,032,938,185,166,056,
784,464,026,019,488,553,371,579,070,618,523,890,308,384,683,650,142,270,110,
051,375,841,359,155,367,207,627,962,240,420,251,059,942,557,812,300,085,009,
547,187,446,289,269,466,279,993,835,882,136,894,438,718,448,849,640,347,293,
512,546,535,878,080,884,310,328,435,904,761,348,979,819,184,734,419,478,107,
542,410,576,250,817,540,602,906,512,476,202,986,620,595,392,928,755,064,209,
448,133,974,353,140,417,308,677,371,900,820,552,785,780,307,469,647,215,032,
039,091,375,153,269,294,924,383,820,152,857,318,571,155,824,864,668,631,418,
260,126,027,412,838,394,695,313,128,785,125,257,998,915,004,596,625,830,913,
344,995,906,688,018,580,907,477,741,780,630,454,971,559,723,632,867,309,098,
216,416,799,119,242,383,528,463,274,377,021,862,115,737,017,046,601,990,442,
782,315,955,638,094,547,248,077,368,392,767,296,795,617,089,449,776,090,505,
954,849,642,325,659,540,543,382,973,782,945,519,695,003,593,479,586,281,718,
452,310,072,611,575,518,729,200,822,737,121,776,032,275,141,545,383,768,402,
096,520,760,780,144,009,677,010,705,156,468,158,516,675,437,816,645,195,754,
190,881,118,471,694,108,423,544,634,206,635,375,110,544,210,540,274,858,345,
185,120,313,054,156,776,276,740,329,277,405,713,505,816,760,869,232,528,994,
432,003,820,874,382,686,760,124,160,646,815,802,959,350,523,968,177,857,021,
383,644,506,503,403,254,580,437,126,630,221,147,359,367,357,046,062,795,807,
957,894,433,841,475,573,282,897,121,905,350,893,004,494,769,176,596,333,676,
580,667,625,041,214,805,935,663,095,533,954,720,754,900,543,908,208,960,362,
096,415,657,513,073,673,312,099,004,105,427,382,643,966,666,089,354,994,736,
820,894,629,765,471,221,356,179,130,263,560,596,635,880,391,044,750,047,553,
773,398,014,976,959,788,285,449,550,106,323,891,467,213,644,128,735,531,791,
175,468,247,939,159,090,715,909,348,234,390,506,717,896,731,929,744,100,205,
260,124,844,693,828,985,767,246,366,590,323,367,503,572,644,478,947,475,587,
671,561,681,159,388,583,073,184,440,346,321,638,741,796,670,210,610,645,606,
827,276,541,991,315,536,795,329,475,190,839,935,714,463,047,275,440,690,500,
457,434,259,612,032,990,409,040,059,020,930,141,738,304,833,622,811,668,759,
975,869,473,371,306,810,116,576,435,448,344,736,657,027,118,174,746,983,643,
388,665,446,135,389,840,036,858,611,524,734,029,940,637,007,674,119,259,149,
034,907,757,343,916,397,863,689,062,457,731,147,021,110,668,180,715,081,144,
931,583,163,131,416,000,929,227,368,223,596,718,900,425,279,743,117,606,688,
029,285,129,599,048,379,117,805,813,623,865,242,519,311,788,506,808,345,242,
549,838,222,165,879,057,676,173,991,772,994,907,934,954,615,030,263,883,168,
093,769,478,842,746,119,019,106,301,728,827,166,278,704,262,193,181,859,730,
903,692,883,555,509,757,209,093,251,208,691,734,491,919,432,314,316,813,154,
653,473,723,020,749,739,104,714,216,066,766,757,419,640,254,804,045,436,016,
835,113,260,222,680,582,110,653,100,316,030,592,363,643,357,161,022,165,583,
542,303,977,660,582,562,074,681,371,129,189,736,278,936,818,647,493,222,312,
340,762,682,973,735,000,459,719,173,696,140,625,617,804,704,866,455,160,692,
930,626,022,475,078,530,953,240,813,739,484,665,775,151,888,581,397,245,278,
321,268,955,640,191,712,973,093,538,464,395,849,485,066,094,761,589,778,491,
873,456,322,183,450,015,683,246,817,053,811,783,145,511,377,435,133,489,906,
279,805,831,432,392,531,314,158,700,238,294,582,506,179,071,085,530,729,390,
185,999,151,983,575,958,303,556,356,694,786,318,185,172,995,877,887,518,580,
251,769,045,407,542,903,905,705,108,402,902,131,441,817,999,284,558,709,487,
216,459,657,565,703,136,492,576,488,207,619,370,069,925,222,362,119,553,333,
563,297,729,379,679,704,902,477,372,534,270,216,130,262,520,230,257,548,518,
473,787,865,746,706,199,163,156,752,748,539,763,407,877,419,649,119,761,133,
134,092,333,411,721,633,318,062,272,064,337,655,963,048,792,815,919,643,738,
640,959,739,215,304,260,211,521,219,454,678,418,637,530,048,816,231,391,545,
477,829,189,276,708,127,853,726,259,284,524,916,374,817,503,317,768,255,907,
931,805,430,127,894,838,464,852,252,901,528,505,518,891,667,521,789,710,551,
435,313,897,137,518,762,250,229,149,920,846,134,391,687,334,240,309,362,436,
429,989,710,308,638,375,402,047,947,918,450,677,508,049,412,801,750,810,477,
479,526,816,664,329,548,228,832,477,628,481,518,693,215,357,258,814,849,878,
772,334,144,816,013,775,241,175,860,921,489,014,782,434,614,959,987,278,719,
580,160,390,645,945,975,831,515,907,049,533,790,775,010,681,578,030,592,386,
556,076,701,766,832,566,750,150,194,768,206,739,215,073,892,205,090,464,036,
114,487,907,295,221,442,384,413,215,849,330,122,160,888,167,145,939,651,340,
764,330,353,637,284,225,739,901,363,200,217,952,948,771,932,264,828,905,691,
269,664,028,815,826,644,449,517,271,230,552,957,218,117,458,954,569,078,656,
875,875,292,543,671,173,516,681,086,249,620,757,262,846,492,076,150,308,102,
216,688,220,118,694,596,711,765,554,529,319,853,170,122,545,481,029,872,454,
760,752,301,336,968,820,922,647,909,217,443,321,808,378,156,077,191,281,373,
635,954,313,482,184,761,127,686,358,010,655,835,478,573,788,507,276,549,662,
399,845,239,992,592,886,306,334,753,489,731,751,278,490,091,997,457,716,075,
971,915,178,942,899,545,407,864,921,212,474,447,156,876,562,596,053,125,229,
246,830,194,655,277,168,582,311,637,327,150,187,474,978,346,898,903,882,976,
083,816,180,350,642,034,285,409,552,233,106,660,828,552,724,669,655,154,290,
384,531,283,174,689,533,408,390,223,616,091,792,890,491,485,568,396,302,711,
020,843,510,618,128,955,802,074,371,959,530,619,320,578,720,443,278,656,894,
809,169,240,326,045,459,382,364,378,620,568,964,039,810,051,704,298,843,381,
635,201,757,073,813,891,356,801,807,241,995,770,593,867,804,619,995,008,004,
653,830,649,806,297,244,962,033,647,006,783,841,161,265,450,671,043,942,275,
393,129,888,727,184,013,721,612,977,426,539,786,401,600,436,314,942,724,664,
129,979,135,460,862,797,400,343,801,289,172,738,423,915,719,702,055,435,201,
944,611,073,230,362,504,962,840,895,821,988,363,077,324,067,240,171,020,678,
602,608,157,845,123,845,801,117,245,388,835,078,917,306,311,289,846,278,751,
033,458,868,253,991,255,780,527,236,094,818,261,459,170,820,446,441,831,336,
204,880,570,775,939,650,776,059,059,099,803,906,320,496,729,924,292,173,731,
030,119,193,194,335,345,579,058,326,431,019,330,107,983,526,665,196,225,304,
405,707,805,599,809,336,573,390,425,332,418,684,319,164,413,335,689,499,159,
746,829,220,417,556,635,107,669,133,681,412,764,165,209,833,025,299,483,175,
205,540,179,001,173,952,708,015,496,661,791,122,607,070,884,876,524,389,646,
796,700,706,307,201,934,533,519,191,796,579,796,792,548,671,539,219,532,789,
145,765,702,306,994,105,648,823,377,368,226,690,894,646,098,670,130,800,778,
239,301,920,740,811,843,524,905,935,615,302,922,946,884,307,853,948,298,229,
321,807,035,473,987,720,083,603,570,027,641,315,705,898,614,045,106,852,952,
304,384,356,970,409,175,218,366,285,634,035,287,393,849,545,607,963,814,864,
731,971,195,209,565,812,387,900,610,324,137,800,364,845,788,536,750,672,663,
894,161,283,011,801,058,125,469,186,344,902,744,766,354,829,389,053,759,819,
111,677,112,649,671,103,295,968,171,274,282,505,415,336,842,938,699,312,537,
743,069,403,154,039,270,552,099,097,501,991,923,045,367,349,851,631,826,449,
275,884,139,693,802,891,656,089,710,462,077,906,098,705,292,259,290,064,828,
279,604,165,189,819,070,417,585,853,615,070,608,338,482,401,379,177,109,053,
507,371,801,061,424,403,899,237,675,012,560,814,605,180,098,008,786,161,908,
804,951,010,942,541,949,329,119,301,013,061,022,507,513,819,426,154,822,596,
930,275,439,633,378,914,645,577,879,097,343,228,232,461,627,752,029,144,324,
805,567,422,640,314,132,967,528,858,831,526,128,639,036,373,978,440,553,690,
307,518,818,366,223,848,041,044,893,206,220,561,284,963,493,058,570,268,813,
702,613,022,454,483,386,230,295,397,853,761,426,422,897,644,636,349,821,288,
434,587,144,579,908,114,665,240,740,357,860,188,348,441,116,424,997,278,139,
206,247,042,657,098,390,921,288,197,331,390,475,187,546,322,701,055,784,053,
032,120,526,118,817,198,944,037,362,220,372,201,597,354,066,755,767,115,902,
737,126,111,355,961,761,885,902,089,748,879,145,199,153,823,486,274,589,265,
717,005,363,569,850,648,318,581,219,587,741,537,174,245,807,069,609,842,412,
345,898,937,336,643,450,730,123,312,898,958,006,347,348,352,414,643,775,605,
226,984,530,646,265,375,770,742,364,875,844,366,695,437,682,241,261,186,834,
473,161,331,223,006,970,876,167,399,092,896,512,431,125,450,226,654,108,158,
109,354,303,328,333,462,104,029,881,578,819,156,494,895,500,588,786,400,825,
355,471,212,811,412,427,126,766,513,194,361,680,091,307,278,423,993,687,934,
193,103,168,409,158,608,703,995,532,345,433,865,517,268,422,572,562,630,745,
157,842,497,128,753,233,375,110,025,341,801,967,400,578,457,064,288,568,891,
655,491,430,687,224,011,015,444,929,208,563,394,499,408,135,038,953,123,467,
251,850,912,628,771,958,001,719,716,841,860,802,938,727,433,062,932,691,955,
643,115,062,064,522,978,215,060,489,547,720,919,601,579,961,818,629,652,571,
430,266,418,160,341,168,898,837,710,699,763,004,225,244,388,763,563,344,860,
778,844,601,302,680,483,104,735,535,028,463,982,755,169,635,426,418,337,591,
495,058,619,411,723,456,864,523,518,374,767,904,690,897,994,610,775,755,587,
973,037,709,425,764,841,864,057,934,317,099,829,160,040,931,720,305,790,954,
325,103,518,634,900,874,080,493,343,320,689,664,558,501,893,730,953,662,113,
656,236,275,276,543,221,089,522,724,060,891,569,797,183,036,930,021,031,310,
205,041,093,862,135,335,497,004,390,192,654,841,044,113,821,450,692,974,234,
348,234,128,061,447,940,574,103,638,482,509,412,375,180,747,849,324,450,424,
138,016,822,440,190,048,953,312,505,973,923,312,820,985,042,991,423,502,673,
861,658,388,726,985,899,058,861,587,419,853,405,012,645,615,982,431,306,318,
732,538,232,207,031,680,597,563,745,846,736,705,496,823,704,029,311,108,975,
450,727,674,830,872,485,930,053,441,174,059,759,665,957,450,824,550,620,360,
463,162,482,730,343,110,842,649,632,272,102,794,589,245,301,916,103,227,474,
137,955,127,433,688,971,681,301,904,610,063,848,406,401,847,241,488,618,020,
800,156,854,713,375,558,985,873,788,867,277,986,227,265,191,862,120,744,690,
489,205,895,634,982,407,326,722,282,916,531,691,445,649,522,861,047,918,582,
356,452,278,168,685,605,984,239,556,161,218,103,397,307,823,408,822,105,678,
915,707,129,121,788,937,075,287,550,289,268,224,523,139,956,966,613,975,114,
970,795,558,204,613,847,779,710,781,950,139,966,547,888,294,113,247,277,405,
187,414,525,767,282,864,517,610,491,508,758,755,834,434,742,428,215,943,053,
932,312,876,600,707,703,995,758,835,152,267,520,594,796,527,134,604,933,279,
063,451,989,200,634,495,861,140,310,749,950,496,874,911,433,201,223,040,575,
390,178,540,754,698,676,798,556,028,024,529,202,238,262,382,626,447,787,607,
356,070,471,864,989,196,512,450,548,031,296,657,304,345,069,065,970,918,833,
703,860,359,621,440,807,470,032,848,485,907,619,375,017,592,654,169,232,641,
597,116,809,066,559,707,074,506,252,196,342,187,353,650,116,351,724,247,998,
412,666,567,445,092,998,046,420,156,751,667,616,562,812,719,634,168,491,714,
859,459,695,455,641,987,103,850,380,577,347,837,554,508,422,234,869,944,592,
584,716,524,807,407,839,462,001,458,606,877,620,398,016,724,823,414,361,182,
118,639,978,672,285,751,842,447,754,113,844,092,903,679,002,285,671,958,901,
837,236,788,177,216,039,776,969,471,306,457,408,775,641,621,478,476,336,674,
612,117,258,869,447,462,374,915,536,231,996,915,312,506,253,588,552,448,746,
493,143,286,837,529,224,266,286,903,075,907,109,065,464,332,815,677,213,271,
498,767,970,454,973,334,627,333,956,821,804,862,580,797,833,536,050,484,478,
192,129,296,257,475,122,974,618,502,915,389,478,549,838,419,452,978,975,389,
176,851,966,583,080,730,453,121,942,798,504,403,772,625,188,920,762,687,574,
156,631,006,620,288,669,450,486,209,768,843,177,301,583,495,279,667,577,304,
011,987,583,633,223,583,241,957,690,306,155,510,870,285,956,399,445,275,494,
442,633,840,417,777,875,934,990,865,696,651,456,213,368,960,506,211,330,722,
340,221,297,652,142,543,613,143,592,010,220,615,691,511,134,154,631,893,895,
844,605,516,891,646,788,812,803,948,451,900,237,648,447,622,094,602,106,855,
146,807,859,801,437,736,002,091,336,628,542,988,706,407,143,592,392,072,082,
806,462,582,712,647,634,719,336,956,147,520,796,723,365,847,609,414,542,315,
358,909,203,488,317,644,619,478,928,575,315,676,964,900,700,524,619,107,944,
624,503,014,401,163,962,814,238,736,013,367,082,836,494,694,223,828,085,834,
757,653,082,536,501,188,841,110,557,875,584,266,670,957,232,286,792,984,507,
541,522,684,548,740,019,652,379,237,939,048,217,826,096,675,303,912,523,900,
180,759,693,557,993,931,733,924,290,625,772,671,292,689,967,555,240,818,778,
592,443,696,145,938,101,661,967,625,628,445,031,919,562,161,632,265,868,421,
986,617,412,417,430,088,692,867,029,292,749,039,602,923,530,038,114,149,305,
548,980,139,741,358,142,497,327,765,186,919,271,971,080,062,675,433,347,792,
540,801,733,798,980,889,149,354,750,167,207,084,847,250,748,153,233,318,973,
545,679,139,725,480,109,712,192,098,828,601,537,542,967,689,725,271,362,777,
395,650,298,232,093,580,318,967,013,850,627,485,152,604,730,819,951,736,419,
451,943,628,969,163,481,746,294,756,599,151,919,815,477,928,510,003,891,800,
470,577,988,294,265,356,364,526,480,150,413,948,569,526,722,948,011,941,546,
565,174,610,972,900,529,195,929,317,883,032,720,386,927,154,978,446,945,738,
536,495,307,138,757,236,324,198,065,859,045,271,614,998,981,885,233,112,744,
549,856,377,504,271,841,814,069,760,578,784,321,773,196,015,913,316,710,866,
748,475,156,670,766,772,414,971,077,596,747,436,721,049,682,252,002,385,890,
096,156,605,960,645,552,353,765,596,343,591,839,275,865,201,204,297,196,058,
709,210,259,720,293,503,529,345,917,634,798,591,150,721,351,188,373,803,098,
261,775,555,965,749,563,804,272,717,727,697,372,293,193,396,403,313,743,877,
516,568,547,324,362,711,600,263,757,484,360,954,113,920,694,690,203,908,097,
024,708,194,981,457,310,137,765,643,817,251,984,932,021,493,539,928,161,663,
636,638,460,074,090,544,479,123,231,474,790,669,089,406,876,150,725,933,159,
831,972,254,111,015,896,304,792,290,176,570,551,821,776,571,126,510,810,001,
059,385,149,224,661,199,153,069,911,842,933,747,348,134,324,479,946,216,846,
731,864,020,775,478,947,768,394,926,671,006,246,100,233,625,212,131,692,647,
033,660,475,980,949,374,590,295,549,208,055,389,064,900,263,041,228,954,742,
771,127,346,197,656,132,221,100,667,309,602,958,744,336,081,923,288,244,351,
307,573,211,575,623,641,752,732,237,560,754,534,316,334,975,122,494,770,115,
263,272,810,055,341,198,272,728,143,832,067,404,693,377,353,508,460,481,469,
238,799,044,807,040,428,824,546,268,665,129,378,886,859,789,687,803,772,967,
627,714,161,408,642,871,044,261,983,951,900,855,328,479,985,919,538,670,256,
231,036,379,353,799,270,821,620,946,411,321,397,653,614,266,889,468,323,299,
974,610,962,703,984,377,526,824,770,723,464,983,374,410,548,303,179,333,709,
592,817,371,997,945,631,962,615,373,464,396,188,249,165,211,229,746,983,393,
100,661,990,640,334,279,538,772,689,896,876,122,466,732,945,425,204,119,155,
727,284,324,934,103,841,188,405,879,706,459,917,359,073,504,857,237,079,125,
858,277,911,039,584,347,049,503,094,489,350,386,616,540,807,405,801,600,388,
481,284,798,853,676,931,980,899,423,110,264,924,445,561,786,218,165,024,660,
309,865,711,127,092,217,625,161,344,577,787,988,922,202,820,850,365,809,587,
599,318,850,651,448,754,161,636,692,144,476,661,375,893,369,200,099,975,858,
365,607,447,510,411,142,126,339,706,295,453,460,275,141,309,469,292,767,934,
130,080,172,945,997,382,647,020,661,753,540,687,122,206,178,944,843,386,382,
104,649,086,310,262,470,732,578,208,741,239,592,430,624,103,370,939,717,512,
580,391,769,595,982,754,376,497,976,542,001,267,655,453,673,742,630,300,804,
981,651,925,894,491,287,913,610,428,305,971,045,759,557,386,403,669,157,015,
771,943,448,167,686,722,506,495,206,377,459,258,563,911,016,981,988,157,620,
391,114,467,299,914,681,586,313,166,211,285,157,273,924,600,707,304,740,285,
013,815,901,191,664,813,556,913,550,351,190,904,530,098,505,821,752,848,856,
043,380,656,138,489,543,409,758,948,294,183,693,468,772,122,376,518,638,017,
453,107,026,777,583,554,049,501,383,565,382,640,028,441,905,465,346,868,960,
533,203,664,895,206,947,531,016,425,783,042,080,471,336,085,347,634,744,944,
060,901,508,786,164,214,255,435,439,843,744,004,388,092,462,784,255,859,783,
149,427,084,567,729,937,934,824,249,554,631,761,505,620,238,892,337,352,979,
388,480,705,753,395,586,589,906,579,899,321,793,156,411,877,464,811,106,662,
518,636,045,168,751,836,644,704,151,335,182,433,125,871,997,312,807,616,868,
732,019,319,719,810,718,671,626,708,243,998,165,297,862,621,261,254,929,721,
408,816,466,392,235,112,899,261,233,868,951,147,604,035,591,279,028,492,528,
223,252,359,530,126,870,873,662,763,425,306,373,016,200,703,183,480,768,374,
556,314,131,584,854,407,900,805,375,555,371,669,132,844,864,311,600,318,752,
732,197,179,701,104,650,760,874,599,826,122,285,311,910,737,185,696,809,641,
562,591,764,984,872,709,493,959,039,800,301,445,882,569,271,620,094,124,459,
136,352,203,450,359,748,700,217,281,872,868,160,510,049,399,072,235,647,800,
580,052,097,860,443,994,343,488,848,698,338,634,484,151,647,703,368,146,865,
435,970,627,913,105,977,383,432,844,603,764,715,043,722,180,871,610,671,831,
531,131,045,027,527,417,933,320,986,583,718,104,246,317,346,191,118,575,660,
576,658,019,828,774,051,358,921,856,418,212,628,670,212,819,294,603,461,973,
466,428,304,154,224,869,613,937,553,740,898,285,666,258,930,594,813,984,633,
599,058,319,374,252,693,000,801,881,465,812,010,263,660,159,895,701,884,942,
875,682,628,581,275,259,129,812,708,133,546,359,005,765,803,424,926,072,657,
907,941,501,329,365,861,157,460,993,561,434,488,234,796,602,178,758,735,338,
772,210,539,259,443,171,086,925,503,071,657,522,234,706,293,550,761,885,027,
159,815,060,146,314,520,466,395,553,221,329,837,911,537,988,915,342,264,284,
564,749,184,054,161,316,864,309,124,044,749,489,837,323,204,715,321,424,886,
502,138,162,758,776,974,050,218,408,135,305,558,672,793,796,787,989,419,515,
605,292,975,202,012,643,971,749,243,392,249,458,759,013,334,892,618,774,500,
196,617,100,654,067,504,182,936,654,190,481,878,743,017,289,268,622,363,854,
858,388,239,436,875,029,384,053,651,104,583,679,862,423,947,622,031,127,411,
106,966,953,797,973,248,840,248,830,484,267,650,318,628,354,122,452,712,716,
439,362,476,796,423,924,794,191,034,563,182,096,783,161,154,530,386,095,521,
627,456,999,233,574,794,210,525,822,937,720,517,470,571,107,327,046,011,950,
313,195,192,244,450,946,026,789,721,542,697,550,992,958,492,509,620,852,161,
415,641,732,651,910,769,401,064,107,040,850,149,410,191,838,195,565,272,836,
674,730,740,391,022,882,074,276,459,442,175,526,517,544,594,610,190,139,935,
771,968,764,897,984,773,304,508,402,781,346,413,376,050,511,563,953,546,458,
021,870,694,773,008,080,073,997,914,015,416,708,227,492,141,825,659,804,242,
538,508,786,106,957,050,411,130,167,590,302,357,423,848,994,020,600,245,536,
281,991,619,356,928,284,709,951,202,287,159,649,666,809,448,703,643,604,046,
878,925,498,974,823,035,897,117,482,766,110,312,285,400,015,431,589,607,888,
507,403,115,564,764,667,478,285,083,587,225,766,015,171,939,269,057,472,867,
313,274,041,362,990,140,117,157,356,931,078,394,718,260,621,582,281,603,445,
542,762,393,837,063,599,277,074,355,269,666,253,400,826,366,492,663,995,448,
188,210,600,498,001,976,594,117,812,450,297,111,815,137,559,907,873,238,432,
212,732,213,254,833,349,512,502,830,620,103,684,060,446,537,227,747,975,069,
907,375,371,805,771,310,097,150,820,425,470,858,428,210,971,885,133,882,814,
703,507,433,188,259,685,635,038,725,646,802,019,258,936,682,856,463,339,190,
644,171,272,477,151,564,878,067,956,659,334,934,671,443,095,928,883,606,997,
969,639,045,081,911,277,635,920,429,197,664,730,457,606,559,321,934,706,419,
300,106,784,573,728,536,596,835,678,900,525,355,395,521,464,709,171,296,466,
867,943,127,216,033,160,027,254,567,957,932,433,927,382,279,637,665,467,201,
277,691,617,428,814,652,880,644,880,388,770,691,116,357,426,189,706,663,297,
605,504,988,019,625,028,003,896,155,694,747,218,706,267,332,353,154,836,201,
640,100,843,805,880,901,545,565,941,914,277,547,034,994,136,094,425,336,461,
513,466,284,945,010,260,120,066,163,879,842,268,711,373,285,882,183,652,816,
461,321,056,361,801,973,223,061,744,968,472,698,820,780,483,236,744,629,269,
836,569,165,648,947,385,160,659,601,278,957,366,627,104,069,629,586,022,032,
259,230,784,648,951,933,411,832,153,554,351,905,347,765,054,223,320,139,895,
827,374,461,152,101,840,441,511,784,155,699,117,067,371,781,618,919,851,866,
499,204,341,079,062,428,455,762,558,760,234,761,099,291,809,531,180,499,805,
557,803,641,615,665,775,001,852,911,291,497,397,987,989,628,817,094,304,094,
609,679,333,235,064,010,888,547,173,944,357,308,779,915,177,032,937,872,658,
961,352,991,587,534,919,382,004,139,431,535,641,428,398,230,104,535,852,164,
626,238,039,169,298,222,720,163,028,632,629,322,765,218,776,704,511,173,494,
351,365,341,704,424,379,125,260,092,490,867,851,536,447,609,095,371,010,306,
602,858,986,191,141,863,659,913,559,901,116,615,694,379,785,236,537,249,371,
421,149,029,509,491,170,277,348,863,111,238,459,731,530,859,344,775,074,225,
162,917,463,515,317,421,363,100,643,361,498,751,780,827,899,440,521,136,963,
867,780,567,632,339,539,536,789,092,067,833,624,744,294,345,970,741,715,041,
231,125,021,938,851,721,958,689,137,865,468,307,933,102,488,842,368,495,989,
669,174,972,041,404,437,144,512,863,402,128,474,851,422,890,110,507,854,029,
946,703,179,311,256,140,470,518,756,900,114,386,416,008,081,055,174,207,270,
669,651,380,961,326,170,549,344,636,545,690,613,427,288,508,558,297,289,435,
140,780,842,030,925,640,603,734,601,227,774,160,663,725,974,986,459,854,048,
916,056,656,797,825,553,476,001,044,317,595,530,839,245,929,199,430,705,676,
683,562,302,627,762,524,069,291,032,689,455,423,261,778,628,603,922,174,603,
749,559,787,389,276,582,595,832,436,514,313,264,436,109,684,078,007,230,302,
755,694,682,248,800,092,735,905,346,466,623,638,499,226,852,397,188,780,375,
166,811,239,869,146,558,009,863,390,675,353,455,304,529,673,412,067,999,412,
098,439,631,323,868,042,397,480,279,422,310,171,236,476,813,915,305,643,373,
311,541,788,119,699,457,538,085,408,507,471,505,742,978,910,043,724,399,026,
403,661,018,498,784,784,255,134,176,904,569,614,853,964,826,422,179,537,994,
075,376,739,235,672,501,789,931,942,266,732,632,668,423,687,480,160,448,423,
977,317,672,288,029,704,421,127,889,035,864,478,583,071,398,521,792,608,982,
099,031,621,783,511,957,596,726,174,589,953,872,279,247,867,558,850,396,844,
692,912,725,726,538,624,983,542,463,878,379,378,450,183,713,502,035,563,149,
756,653,130,069,472,676,510,071,399,288,230,412,855,933,665,217,883,019,082,
592,957,996,333,706,601,528,049,528,033,699,787,980,556,270,284,988,409,588,
231,721,202,733,870,249,091,358,197,379,117,660,151,234,958,250,657,832,838,
165,774,066,452,652,058,143,908,028,191,953,187,992,844,712,836,372,065,685,
983,930,448,021,673,285,668,085,132,426,297,779,426,082,635,830,787,517,684,
120,231,141,428,300,469,542,136,124,988,521,344,727,968,297,602,124,898,315,
998,945,165,363,435,294,606,210,309,559,109,851,437,947,097,768,171,433,020,
718,423,067,744,641,844,606,205,007,168,721,867,824,768,597,480,840,532,483,
920,491,802,760,212,027,172,231,684,412,524,011,966,209,947,678,181,036,425,
890,989,192,835,098,824,939,927,118,157,228,951,705,734,712,738,221,926,877,
327,828,814,694,930,333,910,863,660,398,886,179,282,425,104,417,597,695,083,
066,869,863,789,577,247,233,582,646,314,124,281,000,921,757,011,727,094,350,
425,053,591,642,446,781,969,011,924,468,652,970,966,564,747,530,831,024,461,
537,170,312,036,541,638,112,281,835,260,690,184,859,225,773,480,574,143,358,
611,968,032,234,673,004,838,554,257,936,545,248,795,541,014,536,327,093,362,
616,281,045,308,177,190,551,734,447,639,974,882,411,903,620,896,808,234,478,
368,250,551,545,901,433,259,421,986,875,923,583,981,768,453,616,814,391,983,
916,600,674,807,810,041,623,242,394,134,271,052,036,120,984,833,059,431,973,
315,981,664,153,515,789,253,015,956,734,565,959,793,446,415,303,354,745,267,
396,621,114,974,045,140,690,333,350,739,039,983,988,386,253,210,024,074,014,
611,122,970,398,376,928,718,570,901,027,686,456,372,575,196,402,054,263,782,
518,219,409,286,757,008,760,722,569,586,328,166,663,029,738,845,230,057,015,
668,859,339,098,215,507,487,747,365,029,554,111,025,068,822,320,754,237,361,
552,319,625,342,546,880,438,237,586,676,461,786,618,155,874,921,713,977,666,
768,520,790,103,261,668,908,013,706,589,471,393,307,141,213,021,011,176,111,
040,799,684,343,713,413,296,229,412,514,933,653,460,869,746,242,457,805,117,
207,654,221,800,787,965,342,585,830,295,766,567,117,454,790,981,102,642,327,
343,020,604,893,317,883,091,813,405,675,756,910,659,173,305,054,734,362,738,
480,369,815,035,315,163,263,299,307,897,026,946,276,262,571,637,083,642,568,
624,769,859,865,535,680,515,060,813,330,131,304,082,870,939,051,421,880,753,
692,011,713,149,360,257,440,950,100,364,164,532,547,632,933,738,132,620,547,
306,672,457,444,127,744,668,495,082,431,872,023,081,184,462,494,866,367,004,
387,469,859,994,646,604,716,441,608,275,915,964,475,595,711,839,884,383,834,
651,240,588,819,003,035,922,268,702,019,371,806,036,301,532,451,831,358,919,
129,496,135,851,371,782,318,072,363,085,747,257,307,939,918,547,814,939,907,
869,621,636,476,195,149,854,528,996,336,435,753,472,658,162,820,352,260,686,
155,936,499,768,443,145,994,446,846,271,853,766,682,351,777,820,322,196,959,
141,085,508,612,887,236,702,899,301,979,569,408,384,197,411,355,863,688,701,
087,277,921,861,491,515,225,088,821,309,742,442,269,226,317,045,340,916,154,
982,167,112,921,747,749,520,612,644,417,988,211,566,214,388,373,627,770,526,
864,645,118,547,926,083,108,573,699,276,978,133,278,294,276,780,332,448,114,
778,521,121,788,719,130,297,323,078,977,798,684,073,517,333,547,355,961,752,
925,589,155,597,341,237,709,770,273,076,226,738,641,800,262,733,452,909,285,
848,840,728,216,129,350,384,232,380,513,624,078,571,701,907,147,868,922,580,
080,117,211,084,373,976,159,166,595,932,794,042,525,986,906,406,984,206,330,
543,586,925,288,921,197,933,689,522,796,767,963,464,288,728,361,529,602,373,
200,656,358,035,480,211,351,253,036,332,429,086,970,687,235,921,511,914,351,
883,011,702,956,650,363,016,071,437,848,473,392,897,560,639,858,079,527,226,
402,567,533,716,227,915,001,455,332,119,051,490,813,772,195,527,028,653,062,
385,967,694,443,395,871,330,022,162,518,559,898,800,554,785,326,347,111,485,
943,747,419,346,724,507,763,054,028,807,835,543,525,715,051,743,198,883,797,
242,599,555,140,476,550,740,895,352,864,113,472,683,255,322,985,381,556,850,
692,126,493,580,871,351,599,131,047,900,856,091,810,043,058,401,255,703,334,
376,783,894,526,282,367,051,917,768,614,958,008,238,893,018,354,269,757,316,
537,656,723,332,681,740,941,836,563,801,556,295,449,120,353,838,412,288,080,
719,026,716,942,759,782,419,370,885,629,403,218,443,405,432,808,332,001,073,
581,154,888,390,632,091,859,435,976,420,864,027,889,948,985,866,817,896,955,
146,814,438,936,965,986,747,035,758,758,993,433,042,742,409,031,869,927,539,
574,698,211,178,009,576,569,396,530,769,652,645,810,143,040,548,773,758,453,
102,150,266,383,869,726,934,497,039,608,497,095,578,847,097,057,261,855,204,
321,090,933,334,972,801,955,353,537,869,230,051,900,553,395,467,093,751,390,
193,183,824,456,891,911,492,227,447,952,685,559,416,040,227,998,391,958,924,
920,594,810,761,335,534,544,626,894,793,518,039,682,012,581,984,124,267,823,
917,632,270,937,975,471,419,252,729,829,953,629,574,341,112,026,716,912,914,
243,991,221,719,009,410,569,034,793,248,455,973,549,995,399,873,987,827,483,
028,481,185,385,506,365,119,191,419,738,098,282,248,360,480,930,771,557,192,
119,427,902,825,565,175,413,693,985,778,873,504,035,968,555,068,204,220,474,
414,640,917,432,498,027,948,962,747,722,579,552,596,010,511,810,964,162,918,
221,433,701,331,667,788,432,105,428,242,270,064,997,736,461,930,524,589,082,
526,194,387,520,553,098,329,384,098,369,813,855,536,908,096,506,499,796,734,
578,309,186,211,064,846,305,473,936,378,659,079,929,495,702,147,285,066,522,
219,236,233,729,313,635,760,114,639,087,172,175,604,112,779,930,028,342,218,
162,110,246,874,860,774,472,832,374,833,503,153,290,038,561,553,731,001,015,
555,121,206,439,257,813,415,427,651,720,006,269,992,193,470,512,574,097,343,
845,731,565,125,699,720,937,148,012,977,491,510,073,612,517,638,960,107,203,
899,031,398,818,808,839,717,745,328,037,485,501,873,296,278,151,414,500,694,
667,521,955,033,602,276,435,459,765,746,961,954,898,253,744,782,226,452,173,
817,629,670,794,794,815,609,768,844,150,231,435,917,206,366,047,134,459,869,
723,832,717,681,322,583,936,674,245,343,440,569,628,484,628,940,289,589,968,
532,487,497,460,515,490,328,286,564,477,961,857,401,786,894,292,229,996,993,
980,383,457,171,055,407,063,022,200,442,337,496,542,142,997,619,159,823,226,
609,128,472,848,363,241,755,930,878,530,310,721,414,471,380,546,778,750,585,
587,518,797,970,607,830,575,713,653,409,992,886,190,353,157,816,083,078,301,
631,544,335,008,141,266,884,747,833,554,241,129,864,551,332,471,613,030,787,
604,968,997,393,144,916,383,523,957,428,179,910,832,918,197,465,106,954,423,
658,100,714,594,449,352,924,659,026,156,132,795,357,872,406,329,221,344,086,
767,840,721,817,613,441,972,248,966,674,726,224,136,581,120,805,791,027,759,
981,316,062,013,462,069,359,256,878,697,351,187,355,597,850,081,245,945,091,
274,067,333,506,624,531,197,629,335,297,730,859,736,351,011,777,229,804,254,
533,560,650,968,042,519,199,677,018,942,218,115,011,271,900,383,589,495,879,
408,405,418,238,535,256,367,108,301,109,883,481,671,991,969,219,905,145,307,
658,319,855,051,665,054,480,368,036,210,349,058,007,762,725,107,525,639,222,
193,480,777,405,258,364,164,173,598,926,390,939,471,707,722,334,370,255,348,
698,140,762,778,805,012,013,833,281,166,048,191,109,391,846,443,040,452,757,
109,260,596,698,167,178,062,747,375,080,437,830,309,145,399,586,908,896,646,
385,683,863,314,974,406,390,717,168,941,690,558,469,695,096,986,110,221,902,
029,537,484,728,106,768,426,387,582,509,836,745,992,071,699,796,546,049,246,
156,114,326,373,520,319,373,127,757,164,450,027,713,632,155,325,205,017,729,
885,929,431,161,842,488,182,385,714,219,913,089,374,679,349,923,042,595,890,
042,190,921,418,249,624,419,998,859,053,726,652,032,686,909,437,547,351,129,
094,717,446,240,979,233,262,459,303,302,267,296,566,113,937,883,495,762,837,
274,512,390,980,651,263,440,944,336,004,710,881,902,902,602,765,477,830,646,
695,454,078,338,657,896,192,537,840,132,470,377,930,693,344,754,114,584,232,
013,481,997,607,419,884,139,798,596,769,954,543,629,946,177,515,549,582,016,
404,436,566,050,632,539,573,602,796,358,014,045,719,750,784,608,304,947,791,
987,634,466,801,987,655,887,452,653,101,176,558,934,240,122,330,165,197,636,
665,482,222,895,165,946,066,127,733,164,756,994,470,623,376,941,867,813,480,
423,086,295,781,684,310,534,300,750,536,472,774,450,391,549,865,676,057,974,
090,976,972,860,923,782,999,611,163,697,168,070,622,120,926,492,640,691,925,
839,946,905,963,053,816,156,421,065,758,915,011,028,700,904,821,973,934,550,
946,117,125,832,510,752,523,104,385,536,104,647,544,779,233,904,788,270,444,
385,413,723,249,695,717,026,831,824,977,308,952,029,060,125,614,909,546,247,
117,390,959,598,587,325,250,941,134,340,956,198,450,806,434,708,179,443,994,
537,224,986,228,580,655,741,580,697,149,748,739,176,160,934,459,956,748,563,
957,346,865,952,873,018,223,833,627,596,577,055,643,724,488,989,778,078,421,
440,652,948,255,530,668,738,971,634,950,052,056,909,253,463,130,638,698,995,
019,541,168,119,949,338,579,122,601,897,050,929,737,952,166,981,612,836,756,
949,676,384,661,380,408,755,420,952,387,350,999,170,097,890,111,194,357,515,
157,995,044,906,875,994,335,923,714,482,617,004,740,613,981,759,548,287,799,
925,892,728,263,391,543,686,606,128,772,833,559,237,978,596,564,997,859,854,
471,126,775,303,841,826,882,588,950,387,037,584,640,090,180,542,329,965,273,
387,781,277,906,002,596,386,404,089,782,947,859,660,952,024,848,061,919,723,
611,350,280,799,437,311,819,978,243,794,592,527,969,957,541,304,026,563,344,
285,329,319,574,244,847,510,830,881,436,325,620,826,130,861,329,967,451,251,
945,666,987,452,055,344,243,883,374,673,917,883,962,905,901,184,906,762,033,
022,278,576,545,836,390,157,610,854,462,827,439,316,534,894,887,481,943,234,
581,874,832,477,439,521,331,350,950,685,531,241,302,289,060,264,415,423,122,
021,625,639,329,555,529,510,648,519,518,511,329,636,348,150,945,571,250,577,
437,165,959,250,947,943,371,082,270,342,449,651,177,148,589,005,613,555,860,
493,330,684,354,465,718,113,784,845,446,073,401,722,422,434,402,509,589,423,
433,902,562,287,803,271,807,654,276,102,179,055,175,497,503,340,576,792,887,
703,158,264,145,413,065,085,645,777,884,648,108,890,846,240,584,470,727,753,
047,552,558,586,163,738,385,117,237,555,536,038,125,233,340,633,577,824,389,
673,378,208,992,254,312,858,473,536,821,466,759,514,629,520,860,432,733,632,
740,975,177,088,659,529,190,446,737,963,708,006,191,087,388,812,120,735,657,
566,257,484,457,643,385,971,740,360,598,266,166,418,275,735,657,214,595,242,
148,618,103,728,590,577,219,540,566,108,044,365,518,148,285,420,436,886,823,
938,544,521,540,062,106,719,050,590,036,330,065,833,060,180,153,619,497,937,
818,710,058,801,448,734,263,422,829,453,130,855,629,665,518,686,864,083,062,
192,985,567,229,444,105,136,059,309,181,483,890,119,345,286,680,725,455,746,
656,018,259,411,568,477,756,522,830,416,045,851,631,318,912,870,291,665,166,
628,190,177,559,647,812,878,233,606,696,544,820,881,055,029,960,943,790,066,
368,485,652,965,128,055,638,614,913,143,598,895,869,736,116,783,179,701,219,
267,502,005,363,890,941,251,441,485,453,701,523,294,715,138,911,123,616,055,
750,068,354,026,886,926,514,858,718,917,758,118,599,890,443,399,245,781,814,
441,797,410,079,956,718,255,072,147,197,031,690,007,363,267,431,321,314,504,
179,092,186,630,570,695,866,431,361,240,049,425,162,092,777,768,608,437,560,
318,229,575,174,439,572,557,941,285,629,661,969,946,979,041,463,798,665,678,
688,479,410,527,098,525,745,284,941,157,849,806,138,159,039,150,193,307,157,
336,257,246,872,538,265,437,914,334,602,863,089,491,164,306,908,149,516,289,
692,064,127,102,084,704,437,939,727,540,697,049,462,398,940,508,176,636,390,
131,698,775,686,633,026,618,691,358,148,641,168,041,117,131,291,120,758,027,
465,017,334,085,964,548,221,287,687,889,999,031,859,255,802,773,407,688,641,
361,175,612,214,407,401,508,495,933,689,499,051,443,452,933,581,477,977,776,
212,500,057,989,128,362,512,081,571,879,381,639,936,185,488,290,933,909,972,
003,127,708,730,637,832,825,500,599,541,600,063,381,849,589,849,213,299,865,
696,410,137,445,118,247,908,749,507,811,699,620,668,122,418,391,893,130,208,
936,576,667,324,520,876,018,750,015,059,047,862,144,266,204,019,412,733,701,
163,968,943,306,266,352,595,624,288,130,795,605,115,831,709,498,839,792,839,
391,409,098,279,189,741,437,676,806,695,746,632,621,281,412,534,618,396,265,
110,966,543,628,624,451,638,014,361,354,708,706,523,682,389,472,261,444,387,
502,295,484,556,185,516,262,994,897,813,734,921,971,027,011,942,555,999,786,
905,332,560,878,904,778,674,206,426,969,386,987,519,940,953,589,947,803,845,
958,986,370,433,352,159,312,845,487,152,773,237,258,258,284,486,954,664,657,
927,229,968,057,125,661,439,403,024,048,551,700,739,131,759,386,516,080,843,
145,486,397,895,071,805,514,908,429,291,283,906,664,916,148,019,640,183,993,
252,905,109,401,217,750,861,601,418,423,583,264,301,713,486,544,308,716,248,
895,383,315,574,786,496,650,216,030,354,332,319,117,845,563,776,567,254,968,
716,541,168,602,524,013,445,241,560,274,869,406,935,671,850,785,074,534,920,
736,413,630,421,104,428,637,715,083,027,621,015,660,565,867,573,468,683,165,
655,669,935,985,850,691,349,919,077,292,869,821,980,104,512,694,280,597,494,
300,171,455,647,144,154,089,834,019,142,214,495,979,695,796,681,341,751,462,
885,153,278,200,750,098,265,265,799,549,301,479,158,821,329,977,340,033,986,
070,374,210,573,089,536,302,434,812,544,215,578,329,168,142,673,732,010,676,
275,075,611,742,814,964,250,552,416,794,933,728,236,960,849,131,690,051,098,
039,522,654,498,306,704,683,547,376,870,351,174,732,856,740,030,250,992,495,
089,851,648,369,962,933,207,765,445,146,242,064,775,473,705,760,871,250,577,
197,869,435,673,242,041,128,984,167,797,907,770,944,139,062,403,089,214,939,
703,413,021,883,217,315,549,071,982,042,025,208,176,848,328,997,406,985,838,
505,825,192,620,208,110,445,494,415,369,727,612,857,424,908,753,714,515,809,
565,415,193,948,377,070,599,075,832,266,527,254,814,836,798,881,932,390,738,
079,357,780,581,749,040,250,141,669,943,861,805,022,736,446,666,639,925,905,
539,829,053,994,730,093,760,896,898,373,566,862,083,241,436,994,784,004,605,
417,886,430,558,668,827,201,394,004,693,790,302,103,634,406,013,291,571,252,
702,340,421,454,927,161,649,750,967,428,276,336,974,935,695,405,415,738,003,
194,806,314,867,317,425,681,159,989,262,839,557,442,266,900,994,901,134,139,
698,263,471,679,991,571,088,541,019,921,471,312,982,682,443,142,276,120,209,
436,702,041,729,373,759,890,042,010,706,444,424,557,666,144,097,226,208,634,
859,783,763,767,309,021,701,331,555,056,514,630,739,445,062,834,174,168,097,
627,656,512,275,074,861,628,097,568,858,607,660,310,287,233,053,430,647,542,
330,327,479,987,956,846,148,484,504,424,756,467,103,050,666,628,112,056,628,
302,785,480,948,642,117,498,357,404,048,607,044,380,413,015,024,787,031,789,
583,507,583,475,532,660,369,709,200,349,533,038,978,757,893,892,864,761,996,
642,400,166,206,504,795,983,716,486,413,032,715,338,051,046,801,452,500,530,
130,098,755,574,683,463,345,181,247,973,670,919,680,371,292,317,746,699,133,
968,198,913,992,831,657,113,694,263,245,687,559,620,833,529,828,747,396,037,
629,305,302,402,089,344,425,747,845,665,283,622,753,200,654,787,892,497,886,
692,463,579,376,961,601,168,178,717,041,722,307,840,573,460,949,462,420,754,
167,940,587,753,535,485,320,918,778,131,437,413,906,943,726,710,121,748,288,
495,152,596,178,005,653,369,471,705,238,977,726,924,693,947,303,991,351,934,
761,931,302,949,447,854,350,359,487,055,737,401,971,561,135,688,204,210,278,
041,994,841,935,668,041,363,215,793,115,556,716,565,366,083,445,321,920,984,
902,476,178,547,769,220,428,463,790,280,414,461,285,887,253,484,185,565,886,
252,389,002,771,666,244,472,806,444,018,131,996,578,013,378,891,554,256,786,
456,792,166,960,432,355,056,884,455,431,902,945,587,258,861,395,371,647,106,
969,027,771,437,832,051,289,611,333,337,373,391,606,565,973,755,054,828,739,
320,954,389,620,503,834,514,162,242,158,023,591,033,812,173,984,037,019,832,
965,043,665,892,045,254,714,802,712,196,029,643,860,633,712,437,494,111,494,
683,234,011,894,429,746,503,399,214,041,755,554,338,257,392,549,378,071,436,
995,551,740,430,538,895,531,152,422,464,003,446,440,824,967,233,830,421,757,
944,413,524,545,452,726,839,348,883,710,108,364,171,637,653,642,993,102,867,
165,533,806,247,260,575,387,926,630,560,877,758,111,406,144,298,601,550,235,
464,332,275,885,698,101,793,167,303,030,179,166,855,144,505,751,621,160,497,
327,967,568,982,705,100,202,524,810,500,122,279,706,792,969,668,661,252,964,
542,211,679,321,780,930,690,232,984,866,705,267,666,530,141,348,369,916,554,
946,801,497,373,724,329,632,148,429,365,346,002,870,617,639,421,938,912,186,
972,915,089,215,306,228,098,543,478,764,726,464,181,924,851,556,946,616,712,
930,153,388,012,051,854,090,787,086,007,161,213,151,583,538,791,019,247,360,
563,064,821,832,281,129,336,189,943,242,379,174,470,801,226,345,379,816,537,
568,003,134,044,315,757,723,785,365,736,171,861,055,759,711,038,700,706,094,
078,260,907,091,371,815,774,735,376,859,330,176,047,174,459,862,045,203,294,
142,618,854,382,754,198,344,680,719,863,162,049,016,967,326,554,907,252,841,
294,763,138,583,055,156,976,220,946,936,138,804,172,836,934,974,840,795,663,
883,907,298,071,713,320,118,156,735,020,010,885,399,570,127,339,394,491,728,
681,349,201,857,607,982,957,134,784,365,367,429,647,440,596,058,491,960,987,
606,478,298,621,094,827,141,098,320,524,218,036,172,430,256,600,591,690,398,
665,048,254,433,026,339,180,471,462,556,998,413,485,036,101,369,124,749,437,
616,760,341,793,886,456,918,956,825,137,337,111,317,188,142,108,807,847,030,
276,344,754,239,691,002,999,242,836,124,254,412,184,684,284,117,908,520,253,
523,667,378,065,404,868,119,452,523,474,686,006,094,875,381,340,262,516,590,
612,181,508,029,963,542,964,356,180,134,847,839,157,341,177,411,319,913,691,
689,389,124,988,666,207,707,635,642,971,987,406,344,320,260,190,398,927,531,
580,529,420,523,294,919,471,106,612,536,991,208,403,714,815,872,982,164,157,
465,984,319,472,567,857,491,306,432,894,149,026,461,007,206,779,421,798,931,
486,530,112,773,872,343,453,206,225,283,205,447,534,871,794,630,329,012,033,
337,632,006,344,515,661,284,630,642,794,779,403,846,866,197,924,124,420,806,
686,277,653,174,518,671,456,602,357,039,364,621,579,966,314,954,137,581,810,
935,360,965,728,999,525,944,595,300,972,373,294,131,909,108,077,908,645,449,
974,152,380,543,122,058,779,940,666,599,580,345,792,571,224,449,648,225,075,
778,547,608,482,250,790,828,974,966,984,082,595,170,654,267,639,398,480,866,
428,465,550,373,811,450,121,725,983,161,600,000,140,062,532,151,037,259,180,
590,986,052,103,678,213,175,021,353,716,352,080,213,124,355,176,200,321,973,
553,721,107,499,489,421,664,841,548,984,708,606,571,577,185,391,931,748,379,
144,783,260,329,239,100,857,867,797,106,085,684,012,267,302,743,015,588,849,
171,193,463,147,388,008,911,564,772,312,680,271,599,498,215,136,333,968,748,
006,209,279,833,573,799,799,611,450,420,380,640,951,226,781,321,428,259,235,
346,943,012,767,963,057,864,651,010,148,079,607,112,853,400,658,557,861,097,
609,388,643,638,299,846,950,503,560,655,805,025,599,506,092,831,920,328,476,
839,593,992,288,594,967,869,962,536,137,380,864,977,366,733,148,177,122,610,
422,461,271,983,714,821,073,975,304,802,109,203,785,249,704,470,435,488,380,
371,484,785,072,649,259,242,751,904,691,508,279,781,807,202,710,015,020,800,
731,776,959,788,014,669,803,658,959,896,317,642,626,535,586,979,382,402,668,
711,759,561,664,076,203,140,009,353,517,102,695,154,191,899,936,758,893,198,
711,470,657,685,728,723,032,549,216,635,729,792,295,425,322,006,287,238,167,
245,005,287,260,064,846,354,106,118,065,135,342,657,088,452,693,923,398,337,
633,131,256,275,707,035,314,233,414,733,130,465,739,276,536,746,287,804,280,
173,065,741,176,130,523,188,603,098,681,640,561,697,312,710,963,939,328,557,
694,042,280,911,537,953,770,963,334,134,759,822,185,337,814,750,656,250,669,
224,887,531,825,860,914,193,013,989,430,309,858,579,686,664,576,250,566,533,
941,711,422,701,076,581,634,193,682,371,130,322,382,455,606,521,047,034,063,
977,389,072,701,029,116,760,113,115,669,012,731,657,949,283,556,235,567,015,
732,551,091,042,715,636,329,628,243,450,590,156,742,021,611,860,123,050,112,
703,701,407,558,687,507,425,529,134,559,075,827,994,773,635,775,080,477,923,
276,941,088,343,680,779,704,381,632,593,570,585,610,907,920,814,675,442,099,
059,152,538,066,459,511,954,819,565,475,865,568,627,254,027,663,714,277,153,
355,347,428,646,996,659,521,891,610,901,085,582,743,719,416,387,723,670,931,
195,306,599,194,220,596,202,820,458,810,963,823,227,399,017,392,430,597,218,
257,622,121,188,167,309,778,744,993,702,355,197,591,541,991,525,570,056,448,
872,887,683,597,421,978,187,379,650,999,439,483,252,589,668,247,980,930,323,
248,146,111,070,218,653,744,119,991,342,434,856,262,255,347,143,606,661,604,
801,821,524,410,834,210,406,128,399,746,918,376,260,447,306,911,479,597,802,
170,279,068,712,182,327,407,017,861,676,783,463,202,359,720,881,418,691,966,
216,849,726,232,655,919,379,968,683,457,524,470,070,367,426,344,621,349,505,
931,292,035,357,276,080,244,025,300,631,124,809,699,595,528,707,039,394,016,
174,738,616,419,715,203,251,669,590,637,706,231,876,874,198,191,717,394,915,
159,013,369,976,229,960,465,102,770,290,700,517,259,738,841,264,690,011,086,
013,668,220,803,230,542,334,586,208,921,636,856,223,436,904,852,148,716,821,
027,840,841,866,269,449,772,290,551,235,073,323,021,109,539,494,262,428,088,
720,955,882,962,999,416,502,336,814,861,269,728,229,584,467,897,432,893,846,
079,452,011,822,951,285,063,668,593,937,879,830,223,590,417,931,117,559,450,
592,423,405,601,812,540,834,434,983,374,745,804,246,568,730,446,832,383,905,
888,614,440,417,633,477,829,439,196,868,244,055,116,942,005,197,638,219,602,
739,781,561,913,882,064,518,514,115,351,614,577,274,456,025,381,241,765,381,
166,408,899,463,040,134,631,942,411,099,169,095,056,222,902,301,485,884,533,
734,513,954,852,823,512,067,546,934,565,622,819,859,979,411,272,110,022,631,
675,622,480,995,614,127,852,813,077,708,125,545,761,008,147,046,922,618,223,
235,733,209,550,117,603,402,499,250,395,892,970,478,884,480,746,615,800,123,
419,126,865,538,902,424,362,709,044,916,950,236,815,554,190,096,392,374,202,
814,100,443,397,413,655,860,197,329,190,785,491,165,209,491,546,095,246,360,
956,838,307,165,502,940,732,862,881,984,299,070,952,566,171,826,492,520,611,
142,337,248,015,893,833,722,835,968,451,420,030,651,761,692,603,369,282,400,
445,317,889,038,470,533,522,017,198,312,759,264,242,895,294,102,593,991,511,
651,147,110,837,910,206,723,645,364,945,312,119,606,325,793,347,979,424,558,
118,024,255,676,848,053,826,376,397,458,595,260,254,879,951,280,495,245,354,
465,418,641,896,969,712,746,027,700,737,304,732,775,426,054,059,283,198,868,
421,722,942,617,061,426,116,358,296,821,839,468,571,958,969,897,216,278,538,
487,742,698,962,646,793,065,982,835,314,352,493,057,299,313,189,234,513,238,
707,782,168,091,583,084,268,954,642,579,792,996,585,754,615,675,192,232,108,
103,048,773,338,832,029,615,627,009,316,437,357,944,400,742,278,971,842,810,
699,953,096,195,538,599,950,781,296,247,055,523,610,513,448,535,812,333,044,
829,081,256,997,445,268,994,608,043,211,272,673,710,295,953,452,857,898,383,
437,507,074,973,415,471,101,212,869,072,326,068,632,052,308,557,336,859,336,
060,621,284,082,321,135,323,532,280,223,903,621,305,021,478,331,375,164,436,
743,141,296,375,669,363,463,365,217,205,357,316,579,498,916,970,441,507,128,
842,922,777,199,505,833,533,240,715,892,523,485,864,519,579,630,005,526,030,
065,084,520,450,518,570,877,210,070,858,143,613,555,497,925,522,135,976,665,
388,158,268,785,372,940,103,987,699,502,585,054,405,842,522,585,025,997,503,
775,627,140,656,988,434,613,674,798,192,115,440,272,255,538,081,715,948,995,
562,270,551,953,756,156,023,193,628,479,074,230,254,726,206,637,556,684,924,
241,034,912,287,540,795,252,436,175,425,401,660,598,015,572,200,711,915,786,
475,701,453,989,367,996,375,042,920,234,811,070,197,836,457,051,887,581,941,
174,142,126,471,967,911,672,979,464,167,293,369,222,982,899,841,977,473,345,
941,883,184,294,070,588,095,244,579,082,273,642,781,236,436,851,671,418,321,
246,535,357,155,822,273,415,201,736,338,663,032,406,005,220,806,928,990,240,
520,420,554,240,933,530,560,595,051,267,228,496,570,364,716,870,975,995,432,
466,759,202,710,013,095,922,072,492,507,879,958,043,367,220,964,258,975,179,
422,862,182,503,894,562,564,186,760,893,923,039,925,478,883,419,144,659,674,
080,076,240,131,626,256,748,494,312,415,607,816,340,890,552,981,397,592,471,
842,129,963,471,557,491,952,762,623,227,022,434,045,259,912,364,161,046,636,
629,710,686,062,723,602,218,215,244,215,854,446,739,109,435,271,092,463,981,
708,838,795,851,589,347,742,865,117,232,621,141,411,851,021,567,723,415,658,
115,027,300,732,496,346,913,953,775,214,649,310,932,208,583,899,635,215,354,
812,340,278,716,879,909,373,857,533,605,087,065,046,556,773,698,610,630,797,
790,963,600,736,957,809,252,087,791,881,324,493,054,409,160,022,739,939,185,
287,889,400,740,763,965,144,896,969,330,926,745,048,962,887,243,928,431,179,
430,699,830,058,287,671,464,599,325,499,106,651,753,061,691,669,345,908,503,
082,821,610,635,042,257,721,416,894,314,996,707,581,887,251,448,575,012,325,
567,458,771,955,797,041,061,121,710,692,771,233,166,778,676,381,145,653,729,
187,267,448,766,344,955,195,603,822,218,185,218,224,967,266,299,145,949,715,
788,570,967,783,963,162,761,876,811,454,381,639,728,370,134,846,120,213,456,
012,803,801,516,659,768,335,395,634,458,628,353,249,483,530,625,189,201,434,
250,139,712,665,509,139,990,845,584,337,040,432,870,945,618,938,166,831,041,
246,841,742,192,379,026,575,158,143,385,665,361,620,084,587,831,403,292,902,
628,856,164,993,033,362,970,423,614,166,566,549,773,691,745,601,186,898,632,
059,859,548,141,593,811,880,480,265,082,416,141,370,438,929,828,997,785,222,
628,781,725,399,959,320,696,087,167,645,281,106,346,408,742,982,432,707,904,
008,491,245,802,245,659,227,565,579,395,039,193,720,165,726,184,867,022,714,
289,826,741,934,399,847,886,951,003,982,306,673,766,403,770,814,231,167,430,
633,366,149,464,887,088,568,013,877,671,119,857,374,427,680,465,624,712,633,
933,167,492,705,973,064,231,822,077,451,218,141,360,137,835,580,992,293,355,
966,029,323,662,104,919,575,304,316,325,838,769,753,344,823,276,124,612,976,
005,248,909,382,441,003,433,324,032,479,140,314,975,979,257,779,285,864,214,
018,344,729,841,468,766,547,625,731,008,564,496,940,416,302,657,825,395,128,
965,766,346,071,940,919,942,454,528,824,130,015,364,712,725,898,947,572,404,
836,024,361,854,243,555,413,546,900,676,461,339,985,177,419,250,388,598,989,
183,848,665,503,458,885,316,139,391,790,651,135,777,611,992,099,555,287,733,
818,080,002,875,505,541,310,869,860,169,054,551,848,123,484,845,272,608,446,
578,842,410,765,198,152,470,763,468,383,216,606,280,876,862,139,552,530,196,
379,096,199,519,936,092,135,224,907,812,525,424,825,192,612,239,829,465,097,
363,787,032,319,801,886,587,872,797,631,972,150,997,878,088,163,727,406,566,
824,859,565,315,948,794,571,125,598,408,930,243,152,511,398,642,970,493,350,
454,256,805,958,587,768,085,328,332,920,002,852,952,733,557,118,441,012,929,
345,180,001,029,433,915,026,807,622,066,833,469,293,001,757,585,351,511,966,
812,516,098,936,181,495,284,750,668,566,023,039,652,005,637,276,232,750,828,
929,783,431,196,368,443,966,518,321,397,720,314,908,616,692,288,529,777,136,
631,846,704,421,200,181,457,942,794,473,269,447,585,640,290,237,049,564,407,
134,358,624,868,243,193,702,787,289,200,023,349,545,223,443,264,311,556,934,
419,309,628,295,750,681,234,443,436,646,048,545,235,657,865,765,193,665,240,
757,835,637,418,281,669,789,190,349,292,496,553,796,966,144,231,108,217,542,
072,265,074,117,218,664,974,175,887,802,789,544,354,441,761,091,398,142,083,
517,922,615,492,353,142,499,848,662,073,030,162,175,227,115,639,471,774,688,
469,709,763,141,293,098,382,135,783,429,156,795,385,420,752,235,563,306,873,
306,388,076,119,959,045,588,792,133,338,633,455,486,015,108,747,602,383,815,
946,505,206,057,428,316,514,334,198,417,873,114,524,313,589,948,587,540,355,
802,191,369,028,429,904,433,501,780,274,536,134,632,047,402,724,079,548,303,
210,784,925,660,948,139,361,221,327,780,688,996,819,505,369,768,369,522,231,
921,831,996,848,758,401,408,546,614,899,806,983,550,342,506,639,742,933,809,
910,270,528,601,759,597,668,359,806,393,369,004,683,186,237,196,199,388,580,
277,786,608,707,430,483,014,234,935,123,338,129,828,020,125,019,290,301,087,
866,993,167,943,044,021,325,142,624,636,025,583,455,081,337,967,557,978,220,
500,573,545,763,406,677,734,480,821,992,494,668,720,610,480,563,535,399,162,
749,888,152,014,245,364,074,760,038,838,327,594,987,433,438,125,159,434,270,
071,594,582,358,900,332,845,509,073,402,321,547,156,870,572,168,423,823,795,
168,020,134,082,282,994,865,232,724,618,203,125,207,781,324,048,646,832,465,
702,497,523,413,129,363,299,578,958,001,685,306,699,778,953,795,146,549,202,
407,017,082,168,941,522,968,918,452,504,702,348,933,855,333,157,642,743,451,
086,847,504,843,565,419,642,865,674,534,167,791,335,988,822,024,104,287,609,
788,465,102,372,898,620,648,908,124,701,198,502,097,612,191,413,550,849,177,
909,666,264,354,652,502,541,256,117,643,594,241,187,741,327,312,407,773,563,
249,050,679,737,894,131,796,833,589,662,614,923,859,756,493,903,612,102,839,
318,447,858,817,106,772,012,751,620,939,110,776,134,435,328,708,665,408,625,
891,358,933,444,784,203,963,671,281,534,534,930,707,067,616,127,475,957,945,
635,904,889,602,840,538,806,366,184,859,136,406,485,209,002,333,583,562,356,
693,340,305,958,384,394,345,074,027,577,992,532,824,585,288,700,365,173,547,
944,447,339,560,040,926,110,027,363,594,072,349,984,332,479,737,393,515,524,
221,930,112,091,065,908,526,541,082,087,750,904,874,293,800,399,431,447,212,
429,487,203,134,741,570,560,706,286,019,875,170,509,115,849,156,412,990,521,
803,306,339,397,350,321,079,503,874,154,982,271,446,538,043,899,330,081,733,
263,613,832,592,319,026,282,687,340,812,651,916,182,868,586,802,732,326,743,
310,815,503,235,988,752,422,123,615,442,640,355,972,665,187,751,535,065,671,
925,758,795,533,450,099,749,792,071,138,509,124,434,596,896,458,898,529,256,
020,005,756,249,595,676,575,306,137,072,755,329,499,773,103,147,486,366,908,
141,602,723,135,420,384,871,299,645,527,183,221,938,051,794,907,060,372,193,
221,647,055,609,770,259,296,932,983,775,793,184,965,961,786,399,541,026,284,
016,006,781,372,538,457,427,587,440,592,949,406,037,590,594,432,470,284,823,
246,024,696,161,185,219,252,091,465,964,424,400,719,386,958,048,912,389,752,
836,484,188,303,236,137,240,521,847,053,995,008,964,953,684,740,360,781,808,
532,134,190,327,583,814,143,934,434,108,816,167,665,932,198,694,612,020,452,
198,346,148,388,321,673,631,446,731,988,135,575,908,882,253,025,440,197,511,
895,903,440,297,058,677,426,317,154,036,203,916,432,331,331,051,894,112,075,
276,333,718,757,172,791,771,019,378,236,410,578,021,763,548,008,365,252,356,
439,745,281,233,242,874,894,033,064,805,165,479,141,335,354,913,609,658,888,
214,421,418,817,552,482,361,373,841,291,264,647,316,047,681,371,794,109,175,
436,216,004,027,214,218,658,453,209,319,556,981,167,072,443,114,510,969,625,
394,164,365,877,314,438,460,216,217,143,586,653,266,194,147,774,630,025,268,
958,099,707,323,005,501,130,500,301,711,659,541,238,690,674,795,348,510,865,
751,082,049,077,858,670,635,399,586,990,604,943,706,325,291,952,941,567,612,
908,110,665,261,541,544,410,203,584,582,284,586,121,920,300,673,390,050,934,
572,983,281,594,696,208,606,902,980,005,272,353,399,255,403,612,080,800,659,
844,147,585,122,913,150,156,512,409,124,946,813,673,525,319,589,310,537,615,
384,604,755,683,380,308,610,204,348,774,491,104,844,079,037,783,009,607,052,
993,189,545,463,800,254,829,787,337,394,445,070,291,549,678,961,189,160,600,
094,192,009,038,639,828,991,418,063,847,700,619,595,789,446,952,802,058,982,
771,346,533,130,422,666,613,078,136,654,563,717,368,300,200,579,245,716,925,
726,386,336,676,967,111,280,306,937,749,155,567,337,752,584,265,066,578,295,
508,287,048,482,376,603,859,799,079,804,243,424,790,017,497,872,241,788,644,
981,887,908,604,214,828,005,393,764,732,540,240,030,695,805,626,323,841,135,
064,957,795,433,695,051,607,947,280,846,555,842,318,597,744,366,208,889,113,
637,312,917,155,439,636,814,604,765,924,489,047,257,263,994,054,882,308,826,
181,804,416,891,981,636,946,619,850,560,718,771,802,913,755,858,509,428,104,
546,788,990,933,754,184,879,954,424,261,387,352,244,175,798,429,910,348,920,
409,742,615,960,373,230,589,775,956,754,317,815,328,308,162,476,214,212,445,
356,031,857,352,324,367,205,244,399,939,280,093,855,459,727,332,841,022,493,
247,346,721,145,262,506,971,428,079,936,444,287,659,794,315,299,197,997,226,
399,877,817,975,044,052,028,964,758,421,011,463,994,614,200,612,533,903,269,
359,021,809,835,887,800,022,702,225,746,646,940,059,077,971,006,584,132,960,
237,808,913,199,504,780,004,393,872,459,977,175,798,470,940,286,714,267,565,
391,798,304,379,934,666,991,293,266,651,895,458,498,144,898,630,759,293,100,
120,430,242,317,049,171,088,454,492,404,811,890,025,325,908,597,581,472,102,
244,036,736,572,842,240,990,939,436,445,426,894,485,251,698,220,589,627,171,
600,680,312,674,802,059,575,185,380,712,525,036,050,543,181,055,600,850,649,
590,257,480,691,422,677,652,405,325,403,358,277,378,909,512,227,988,412,571,
157,505,414,201,333,262,720,661,638,721,474,316,612,786,934,941,005,663,470,
467,617,793,950,599,126,155,073,201,585,742,585,997,056,471,383,000,067,564,
811,461,235,609,687,498,591,376,250,863,330,468,823,866,842,647,061,357,691,
465,940,645,640,057,334,416,150,780,443,235,725,633,298,731,415,244,667,751,
896,806,144,395,324,417,287,914,682,351,357,037,047,252,043,800,323,439,290,
265,474,081,495,115,613,364,718,349,363,732,485,941,630,027,010,294,104,010,
100,144,640,561,685,803,643,558,569,876,050,681,687,536,608,032,633,137,602,
412,094,427,101,597,689,817,308,369,669,981,840,605,845,919,804,599,479,605,
938,092,475,295,278,102,461,830,691,489,202,591,926,872,617,416,633,071,659,
697,746,878,074,717,872,487,694,118,579,856,741,643,700,276,141,938,500,752,
051,022,323,692,773,028,948,832,601,849,020,795,293,668,369,355,726,766,646,
685,882,165,501,587,761,196,383,166,792,862,450,695,162,970,619,650,378,490,
056,473,777,884,339,800,365,737,794,547,481,364,305,610,904,775,089,516,567,
323,397,666,654,652,164,207,489,671,847,494,756,968,278,114,276,527,717,615,
766,794,597,240,822,865,444,540,000,545,720,399,231,291,917,455,689,602,880,
983,253,335,235,292,967,486,291,748,655,505,708,950,124,689,408,764,953,307,
004,063,857,171,082,194,637,647,935,358,636,989,115,372,827,574,039,077,000,
211,815,307,814,502,533,490,705,059,624,033,331,002,310,683,029,965,707,461,
862,003,315,284,677,379,396,125,723,930,059,835,534,296,232,825,469,283,380,
451,968,526,039,991,459,091,758,439,912,548,322,042,580,978,340,286,466,762,
475,615,813,680,625,484,279,787,021,873,697,623,527,704,462,494,096,082,636,
074,383,851,645,881,823,916,290,514,282,555,427,216,250,663,733,806,032,942,
792,825,280,500,665,713,676,981,566,357,932,963,547,763,165,522,848,157,034,
537,290,630,182,164,492,843,389,418,194,592,559,930,081,835,143,184,386,272,
163,059,032,282,433,657,670,940,910,808,754,439,160,123,072,336,422,707,281,
991,413,754,128,202,823,266,595,982,271,427,718,782,600,857,993,826,155,924,
506,533,709,524,318,568,854,496,598,304,704,013,986,036,532,070,148,915,706,
775,838,254,887,466,715,950,175,757,387,228,241,710,764,770,465,579,273,973,
260,743,007,584,865,812,186,761,350,965,643,838,411,373,273,637,031,231,174,
780,408,853,159,177,842,383,365,851,926,701,210,014,504,806,729,874,284,636,
030,353,201,692,326,208,882,051,079,590,113,451,446,854,363,585,929,526,634,
720,633,838,949,844,498,953,419,632,899,773,520,149,167,644,292,750,506,625,
809,421,260,608,756,103,420,962,048,053,421,688,583,517,948,389,806,766,913,
601,698,915,249,080,742,656,010,311,723,679,922,211,083,760,283,311,191,537,
038,538,031,813,342,265,221,751,296,968,432,799,123,705,642,472,639,498,966,
451,966,101,819,313,659,970,066,490,424,238,413,850,156,597,910,652,854,183,
170,217,223,483,289,534,771,661,408,734,765,051,549,362,798,358,860,061,392,
108,774,001,917,019,072,818,074,021,176,812,494,307,262,252,983,988,992,319,
089,804,651,510,379,219,790,454,718,058,215,203,818,082,291,317,810,487,683,
164,653,365,397,033,047,010,000,612,795,167,515,870,643,505,836,297,267,854,
721,519,858,415,396,905,839,748,952,698,866,197,517,921,844,271,178,506,718,
807,331,807,336,014,456,515,072,485,709,822,444,228,582,295,205,000,824,450,
191,124,767,179,336,017,689,577,249,766,813,814,429,605,176,435,095,501,505,
722,149,696,055,790,950,244,793,774,278,335,209,264,357,907,618,973,644,421,
075,326,813,361,330,878,777,641,849,844,507,931,817,543,559,468,107,095,282,
550,301,489,509,084,621,699,765,081,716,978,091,816,233,584,864,249,610,863,
121,109,422,234,023,028,217,487,633,152,940,218,051,019,181,871,415,845,627,
607,772,196,562,935,087,977,584,347,476,464,862,704,372,917,361,500,152,484,
865,639,446,223,267,966,723,732,425,513,463,373,005,416,302,543,025,609,932,
632,096,527,462,823,327,012,567,594,254,817,177,463,110,949,159,037,206,024,
806,909,781,264,558,809,577,915,565,292,505,756,515,311,625,185,742,380,119,
858,522,557,260,436,864,910,947,050,130,126,141,304,517,460,792,668,245,060,
396,255,460,245,437,823,727,953,206,856,096,266,260,790,823,330,807,665,629,
630,879,376,959,461,103,948,175,265,618,120,506,199,436,237,227,964,700,633,
008,193,731,873,180,539,639,834,687,528,719,820,276,516,158,497,398,420,028,
755,461,281,123,077,240,814,807,753,414,780,143,869,474,490,829,244,888,501,
662,776,120,653,538,398,005,696,295,852,857,607,336,495,566,630,069,862,013,
136,666,017,575,872,401,892,633,247,273,100,646,853,933,327,514,385,628,956,
015,009,322,597,455,545,842,767,802,716,797,969,337,614,786,926,589,807,821,
434,195,367,776,065,382,520,122,491,077,726,932,967,140,384,004,473,052,236,
621,031,660,933,372,664,129,441,197,348,934,814,979,977,278,745,415,444,113,
663,062,133,919,754,875,825,494,288,507,875,591,306,293,138,636,131,171,909,
034,930,246,056,410,949,632,373,905,069,375,876,159,841,249,825,170,337,202,
152,555,006,241,709,445,773,804,598,880,985,205,102,251,192,367,930,452,538,
322,595,468,401,848,991,260,609,433,133,741,877,444,747,061,883,790,132,081,
590,805,901,539,252,058,480,961,303,556,656,716,153,981,351,826,008,527,570,
925,403,762,250,286,188,761,674,593,797,552,847,995,575,038,479,184,794,628,
619,992,578,386,013,680,276,125,929,015,393,049,831,316,284,700,382,666,155,
397,179,602,907,843,155,685,356,815,035,772,955,904,663,764,383,464,453,533,
422,825,957,891,825,464,185,205,811,378,315,054,731,045,013,165,943,220,481,
613,807,127,221,090,057,328,873,547,899,182,491,862,222,558,865,639,194,096,
718,846,317,523,679,627,175,689,538,993,211,601,165,100,545,035,478,697,489,
866,278,199,476,617,248,836,414,682,774,011,909,113,990,486,826,263,715,872,
529,400,420,540,672,290,992,671,733,774,325,757,566,948,248,990,310,821,672,
617,751,745,543,276,575,062,085,963,685,536,130,423,421,695,334,458,711,739,
631,391,451,146,182,719,903,231,005,082,230,255,780,434,162,567,627,830,555,
147,898,585,223,020,617,644,765,217,974,421,998,736,994,767,309,527,164,994,
218,312,458,649,784,568,317,009,715,487,661,905,635,009,602,863,436,733,566,
379,051,479,148,495,671,171,773,085,980,230,584,648,628,613,213,969,082,499,
351,783,798,352,607,965,776,985,658,448,404,585,788,430,910,165,301,071,430,
953,937,824,370,845,421,988,653,607,030,072,496,057,218,735,943,683,231,219,
292,068,079,111,992,172,381,206,475,209,225,595,650,544,573,848,085,570,958,
079,885,481,690,757,972,283,981,651,071,514,707,677,830,697,209,015,919,247,
879,232,659,318,712,264,258,019,377,592,316,798,749,785,885,560,264,368,233,
235,157,587,706,162,493,620,099,797,071,945,132,686,900,791,245,865,162,511,
453,283,166,275,573,039,922,914,402,653,520,450,714,008,057,360,464,878,823,
484,711,180,267,922,383,548,117,076,235,825,150,596,734,187,559,850,681,434,
882,852,825,475,570,255,710,115,144,368,974,850,130,541,627,384,885,013,525,
729,120,525,584,325,827,618,641,035,303,288,128,178,501,914,918,322,904,662,
456,745,771,968,021,783,622,178,655,534,007,476,031,019,601,977,301,825,548,
977,936,306,685,565,143,199,777,807,339,120,301,075,196,712,913,127,649,251,
116,432,034,645,472,912,090,195,050,446,759,392,447,525,992,074,237,415,749,
792,864,867,363,416,450,409,366,783,738,984,221,596,579,085,543,679,082,507,
640,056,514,245,681,242,881,307,453,401,285,443,605,723,408,219,971,147,536,
828,602,476,301,981,261,551,332,888,406,252,944,251,657,821,257,659,255,663,
762,171,667,132,180,067,224,635,188,716,597,988,715,870,462,237,645,997,210,
195,135,761,876,906,326,826,194,804,576,221,326,055,885,534,422,196,664,247,
617,467,944,363,651,895,932,435,880,884,588,451,538,720,062,297,941,313,706,
187,377,201,541,875,420,299,680,132,880,584,409,040,366,763,813,282,342,801,
247,365,574,915,169,498,634,324,954,492,100,383,417,744,702,941,478,121,195,
697,251,821,887,250,933,510,944,989,153,439,130,520,448,319,755,347,667,816,
372,144,035,669,539,051,896,436,621,760,572,491,333,609,219,832,571,138,816,
455,471,489,630,587,100,713,698,729,688,803,198,294,245,793,569,366,990,103,
663,195,302,605,054,430,020,857,194,449,317,332,319,933,007,115,548,722,545,
280,211,378,831,715,409,296,040,360,297,188,566,739,136,203,360,289,430,304,
325,376,298,807,295,442,382,682,213,726,635,950,020,350,547,380,655,301,053,
406,576,762,112,158,533,395,758,576,728,682,222,216,006,070,705,526,894,227,
939,513,436,792,508,846,227,977,639,682,560,264,198,449,554,111,532,631,655,
559,686,492,205,791,103,617,167,761,232,707,168,169,524,501,745,728,448,396,
872,030,039,142,665,910,096,774,672,095,004,570,986,530,543,258,200,775,029,
387,149,400,206,454,115,142,847,766,553,904,436,964,841,693,733,465,773,287,
148,537,717,294,774,144,090,596,942,009,267,357,735,705,357,091,303,243,698,
151,787,655,467,269,080,887,709,491,344,305,850,266,242,120,733,377,898,484,
974,123,664,717,306,990,221,591,840,755,356,343,261,340,614,990,248,259,711,
265,719,838,017,018,928,715,391,953,736,426,863,782,694,874,951,218,620,347,
037,443,622,602,228,676,039,041,013,681,128,805,562,692,695,981,375,746,159,
533,813,908,105,162,031,979,971,319,796,285,871,806,688,884,124,456,498,909,
509,975,795,792,800,690,161,010,470,712,891,625,659,605,881,926,193,649,262,
494,685,646,218,097,354,669,695,583,504,457,185,536,957,061,658,885,357,593,
642,753,110,391,791,462,541,106,388,580,411,679,042,797,331,787,943,787,391,
274,633,275,784,377,869,575,974,239,888,327,380,687,566,011,685,678,786,448,
243,287,405,768,135,488,617,588,819,386,508,048,786,329,282,144,208,110,286,
938,028,570,393,518,763,369,215,374,658,637,270,672,908,582,389,833,447,576,
576,137,439,438,689,477,452,150,861,253,496,567,671,242,359,981,886,077,786,
902,064,671,564,535,274,957,194,068,200,087,765,662,174,745,471,616,908,082,
990,790,241,607,823,865,659,138,997,178,304,641,863,443,433,394,952,907,611,
359,239,787,658,319,447,276,028,185,690,583,681,867,702,526,946,985,527,721,
847,200,208,764,058,065,677,686,463,027,793,322,113,858,450,513,301,357,651,
273,929,666,670,092,732,351,211,250,129,228,080,444,070,106,728,496,114,305,
950,585,853,466,725,805,610,558,928,124,860,317,446,308,465,664,685,764,180,
418,611,243,172,516,106,736,917,914,156,132,100,310,753,218,790,289,393,563,
759,263,935,858,883,846,729,431,804,182,300,049,469,671,007,234,019,075,763,
388,334,716,815,644,157,483,711,917,243,415,803,989,839,130,050,198,701,926,
101,024,087,541,551,506,358,461,517,112,616,829,843,366,592,778,271,074,391,
995,197,953,645,223,773,390,217,805,521,636,664,641,443,138,451,359,289,472,
768,625,809,015,229,853,570,310,029,150,430,170,090,754,323,066,076,253,202,
047,524,265,537,893,158,929,066,430,588,108,862,914,622,842,634,646,270,740,
122,838,436,057,255,269,095,597,615,369,349,976,768,948,911,464,253,451,706,
768,777,340,855,592,838,476,885,193,347,171,382,833,485,312,268,366,220,984,
714,079,516,850,806,133,823,853,475,271,732,396,519,898,618,667,471,859,785,
843,411,491,979,245,440,728,955,340,262,088,780,645,196,071,761,511,998,667,
007,914,088,120,424,614,695,011,245,176,975,367,658,121,402,899,743,418,474,
590,854,031,109,730,927,375,609,566,780,236,027,177,669,150,674,894,682,145,
756,825,077,370,259,817,074,335,658,895,659,468,045,131,727,134,787,032,971,
706,619,099,317,751,827,515,295,454,222,707,708,030,743,531,300,803,736,177,
741,368,034,333,769,917,603,396,428,495,315,889,630,518,655,323,582,561,601,
062,208,860,851,681,395,860,049,323,082,838,231,500,823,899,748,639,922,994,
116,621,995,951,361,952,020,567,586,926,411,800,016,028,733,926,215,891,676,
833,559,072,160,338,975,220,608,278,755,487,326,398,989,904,496,066,220,613,
629,736,903,206,477,963,870,174,106,078,526,428,049,518,647,252,467,425,784,
209,885,240,817,378,483,372,976,145,014,066,240,341,001,309,749,480,930,172,
799,193,093,402,238,740,836,014,420,022,031,310,137,092,011,091,908,576,179,
114,401,577,795,367,096,426,812,488,394,726,589,285,434,427,230,269,605,324,
241,974,777,878,169,552,024,554,222,148,866,650,147,545,148,540,873,421,543,
708,306,221,542,486,676,922,729,623,387,553,413,386,061,160,134,663,780,012,
682,305,861,393,001,808,512,538,580,324,958,868,072,685,634,410,871,716,125,
444,608,341,830,774,652,000,598,560,997,495,501,545,088,372,743,695,232,779,
281,431,697,419,059,034,269,880,435,819,649,838,954,062,823,508,566,786,611,
558,132,147,077,151,997,426,822,202,757,994,960,778,073,147,953,573,364,228,
188,447,600,676,929,150,695,207,012,172,208,794,240,691,106,685,189,719,294,
916,963,540,106,919,855,779,529,589,873,929,552,163,567,794,074,610,998,241,
738,671,429,484,599,159,055,234,387,253,715,652,876,762,291,013,832,236,143,
393,632,281,747,272,022,820,223,802,943,544,806,487,753,901,319,263,100,543,
052,264,869,650,774,373,336,296,310,293,014,763,690,547,753,815,155,799,434,
011,369,345,454,141,024,993,501,682,484,506,808,503,055,992,548,612,369,286,
837,419,095,341,135,248,569,158,222,451,935,488,362,753,566,239,897,013,614,
977,597,447,026,250,140,058,426,842,675,733,938,347,315,761,351,270,449,516,
737,977,609,886,545,973,178,034,847,124,306,010,991,743,639,161,873,263,124,
621,380,630,227,298,585,290,564,335,971,367,622,921,049,531,357,656,563,897,
036,557,633,393,670,238,461,107,679,718,662,516,137,096,057,798,201,748,448,
582,572,502,683,600,078,991,038,937,302,229,842,342,310,626,495,142,593,556,
300,221,247,375,759,910,347,123,936,798,102,171,484,240,365,149,362,116,140,
210,940,438,276,942,191,595,251,796,324,642,576,542,987,700,152,164,290,053,
577,963,778,039,022,989,602,571,413,785,697,151,146,558,448,402,183,376,671,
004,879,092,821,124,943,177,195,506,561,746,029,760,899,764,573,834,755,585,
687,979,364,703,235,453,369,821,285,620,004,341,971,684,749,890,713,796,380,
841,621,895,620,979,510,175,267,268,970,522,825,378,491,357,010,924,688,344,
760,795,818,486,891,162,822,285,558,329,064,226,926,390,780,126,055,002,385,
301,749,081,361,326,772,800,080,627,429,610,689,343,818,547,235,449,079,586,
104,822,710,778,503,908,780,049,209,421,767,681,924,391,568,696,945,987,263,
180,337,558,621,963,160,710,242,919,283,178,140,664,927,107,540,227,939,774,
836,114,633,334,805,258,368,729,431,360,619,534,954,695,097,794,667,240,616,
857,683,423,981,802,157,531,970,821,179,056,952,348,308,720,955,388,135,917,
576,777,291,332,371,224,630,473,869,726,849,942,148,732,158,579,848,037,235,
606,324,878,724,852,775,488,347,402,140,571,443,897,818,147,604,567,134,964,
895,024,500,497,609,413,993,086,948,052,419,719,403,127,186,350,359,719,017,
282,851,676,696,575,655,631,428,696,256,409,333,160,166,252,493,832,461,180,
595,808,459,643,023,136,577,956,696,193,982,825,793,157,942,514,095,131,745,
233,961,389,167,328,745,532,289,104,422,025,669,396,972,418,014,418,165,290,
472,677,970,634,275,011,048,161,762,736,816,290,300,497,138,998,578,766,854,
368,127,838,496,668,019,187,095,671,012,294,922,613,486,916,254,759,123,056,
004,446,168,002,451,284,484,392,250,988,809,997,182,083,054,329,020,695,723,
430,805,878,367,062,913,464,094,282,113,506,308,179,500,652,391,527,668,332,
239,102,141,851,552,431,862,434,574,111,016,421,682,247,536,606,739,560,744,
185,078,753,677,621,625,882,804,133,428,712,132,341,789,200,337,601,882,196,
551,632,849,711,473,189,272,711,984,816,072,274,596,118,086,303,120,862,994,
181,247,178,540,383,025,517,802,475,874,892,575,739,033,291,288,608,048,539,
754,751,593,714,928,324,572,986,156,468,083,094,349,168,534,002,841,403,805,
638,142,969,865,844,902,128,530,151,230,041,430,434,670,888,567,275,328,227,
868,451,528,582,099,522,353,719,699,193,204,520,907,828,644,893,431,970,060,
648,436,840,841,961,394,991,886,816,934,774,312,340,276,056,503,699,230,900,
473,658,701,182,244,677,943,926,440,662,950,971,860,578,474,011,165,932,468,
265,603,923,207,782,428,302,433,696,866,306,768,990,626,426,250,958,326,374,
974,521,528,676,800,694,295,986,176,203,610,267,789,880,892,139,888,905,735,
998,406,534,728,656,633,696,513,797,713,433,196,600,677,519,648,358,769,113,
691,752,593,127,835,009,905,223,290,335,468,617,979,042,110,208,685,890,662,
612,130,323,245,288,554,351,879,544,221,142,198,484,604,519,418,301,466,417,
027,586,701,231,617,259,518,197,408,337,151,234,318,724,538,206,116,742,284,
152,333,062,976,997,232,363,461,152,177,007,156,185,135,370,381,223,692,055,
172,135,931,423,724,440,536,854,694,044,791,539,318,483,592,397,799,567,824,
463,562,311,731,114,405,402,264,588,113,783,812,509,707,058,263,635,758,080,
800,769,752,226,792,314,555,102,042,700,293,166,622,787,934,927,973,194,031,
066,010,586,462,676,373,098,687,142,010,331,784,733,757,662,837,663,491,947,
946,397,303,187,774,392,731,605,250,962,650,764,616,205,402,508,756,403,109,
029,848,617,332,753,581,521,645,676,151,686,400,723,595,497,513,602,619,119,
798,858,097,942,059,950,973,471,895,403,368,584,958,925,987,932,569,907,736,
935,637,731,075,431,451,836,929,096,841,500,240,787,237,697,535,382,025,590,
049,451,862,717,783,525,013,173,611,835,134,680,224,240,352,379,633,557,920,
470,210,083,043,799,569,027,421,312,723,382,007,622,175,935,126,303,683,636,
738,237,984,302,078,697,815,678,981,818,568,559,364,279,414,935,663,479,595,
146,234,409,589,927,658,851,363,227,984,395,865,788,743,103,635,818,014,567,
898,407,115,780,374,123,065,764,690,351,655,044,318,522,130,550,375,942,657,
695,369,937,412,373,778,154,954,711,271,139,536,731,323,139,233,025,288,039,
286,792,687,423,185,342,924,529,548,142,374,362,057,783,653,314,356,594,983,
777,828,527,484,875,429,084,590,337,168,216,322,855,042,694,119,164,578,745,
471,887,866,494,853,985,102,532,708,487,604,588,893,610,152,950,455,883,387,
817,726,442,118,149,870,221,110,772,877,996,960,076,540,764,036,180,139,178,
136,657,993,388,856,402,079,682,499,537,723,238,520,117,789,833,899,948,997,
040,471,419,699,037,812,351,944,707,929,780,605,931,181,477,278,167,746,064,
878,547,697,154,714,083,942,282,542,902,640,338,107,417,053,597,982,993,442,
309,935,022,283,893,473,630,086,185,444,919,597,445,213,718,282,654,539,152,
500,490,761,972,642,368,855,448,352,146,853,034,697,144,157,146,659,391,554,
828,053,512,183,962,288,415,325,243,838,508,773,935,351,083,293,098,180,046,
736,266,895,373,653,417,568,080,592,798,931,240,387,438,753,239,518,714,435,
260,325,068,376,147,918,515,421,688,578,156,596,628,138,962,220,852,555,317,
226,206,545,825,571,177,094,481,860,764,028,553,874,059,364,632,403,984,461,
414,923,477,802,025,771,372,105,346,362,966,094,006,089,191,027,812,486,311,
570,059,498,493,202,181,087,805,892,111,916,116,536,333,234,174,505,606,595,
939,621,007,580,458,473,739,899,853,162,980,271,926,710,438,598,507,245,282,
019,982,788,998,349,655,033,417,935,079,509,668,246,335,340,769,843,820,710,
183,827,131,713,033,667,957,127,015,877,320,136,709,247,196,276,045,296,531,
525,669,240,317,794,435,043,120,255,536,273,362,498,315,988,194,816,968,182,
131,497,424,932,216,072,701,387,651,915,867,668,563,118,291,088,571,557,715,
806,476,251,874,295,715,611,077,009,898,982,582,097,571,867,332,496,127,957,
749,803,466,396,646,210,937,747,241,776,358,645,276,381,859,416,709,470,222,
242,593,502,476,058,054,078,023,418,894,481,837,743,831,967,086,779,785,033,
710,166,336,925,796,377,184,055,838,753,258,345,238,698,419,678,809,169,955,
772,535,278,915,777,800,865,040,784,881,528,902,757,608,649,567,046,082,892,
619,456,446,989,918,855,416,175,626,781,204,393,504,264,662,117,012,344,287,
408,062,582,211,539,458,577,518,777,418,268,304,712,256,596,974,994,227,943,
503,942,563,522,173,653,129,846,094,742,720,339,966,262,148,077,837,344,420,
648,427,306,618,519,183,174,004,773,181,249,936,450,841,869,622,890,039,348,
855,230,037,341,512,017,721,545,447,583,511,141,270,626,561,371,202,462,350,
644,551,021,578,980,014,458,288,721,576,580,280,201,240,373,857,886,801,078,
081,055,177,166,662,675,594,474,449,113,908,660,312,712,842,240,234,354,357,
340,878,596,356,357,594,261,019,685,336,982,042,694,060,675,084,924,906,461,
604,701,708,584,813,642,514,211,325,199,974,462,160,477,656,220,054,096,182,
533,260,798,878,795,336,712,917,269,092,157,634,098,188,561,732,900,081,702,
630,920,418,840,862,911,465,561,197,043,501,460,877,041,169,747,470,675,007,
347,879,495,697,994,645,736,525,094,596,269,314,977,881,220,429,069,399,643,
737,853,661,370,749,721,739,735,569,999,943,166,290,027,269,496,010,385,809,
144,358,319,678,682,265,476,394,963,540,325,965,516,119,790,920,736,137,507,
084,290,219,863,704,216,117,236,497,645,463,162,862,593,258,024,090,100,636,
689,870,258,960,024,953,304,491,749,776,295,049,297,156,284,426,422,938,787,
965,567,158,712,766,425,060,022,147,297,793,084,354,157,229,774,704,913,356,
168,719,681,362,029,097,960,456,098,761,375,015,739,799,932,527,382,813,146,
987,334,433,262,594,491,609,704,845,176,386,352,664,927,959,583,868,592,494,
067,805,329,575,745,263,693,770,715,272,707,439,094,571,367,979,089,898,411,
854,623,569,130,434,990,881,729,530,130,975,407,790,759,720,795,171,492,459,
668,778,176,532,981,723,726,324,932,775,833,743,931,144,492,063,537,834,931,
940,781,964,935,585,995,181,394,471,784,401,434,977,251,969,030,466,240,522,
244,804,783,227,320,761,132,664,633,270,794,917,822,685,428,665,861,288,789,
813,798,046,688,080,313,594,268,305,388,063,126,180,452,252,494,753,766,112,
132,491,889,342,042,908,048,270,209,740,273,452,387,998,443,821,750,513,485,
090,082,287,422,646,042,515,007,446,180,027,534,701,409,567,423,433,301,655,
344,735,306,371,570,016,904,483,039,022,563,560,258,076,110,799,231,608,168,
256,009,297,957,891,592,342,829,295,103,043,077,123,111,788,202,142,535,735,
612,796,779,765,979,185,864,626,273,044,958,203,237,935,905,114,924,990,535,
240,073,597,335,262,612,741,095,083,497,105,512,404,698,668,496,598,755,985,
347,487,392,355,524,863,533,858,194,278,736,400,305,827,894,370,403,434,296,
114,014,716,223,428,672,556,807,641,961,909,731,357,286,836,773,973,696,121,
344,290,521,588,039,699,018,977,346,093,902,942,695,913,827,064,739,333,356,
695,481,250,877,142,416,374,078,539,885,251,136,323,746,506,313,190,672,790,
170,264,052,896,515,970,356,343,325,069,181,122,362,196,078,551,016,930,399,
861,396,600,477,678,484,223,676,835,781,191,389,829,352,363,128,166,791,216,
385,570,005,832,238,959,113,376,513,436,103,970,793,476,318,782,218,945,646,
387,005,403,826,385,815,258,473,961,852,170,556,031,859,545,476,390,757,912,
430,672,997,744,369,928,339,480,798,475,062,532,961,792,327,306,845,049,514,
408,410,417,239,703,995,775,507,637,094,364,624,102,481,589,483,022,461,090,
481,455,709,906,643,250,046,113,938,582,824,870,891,554,413,183,525,232,316,
519,458,187,109,316,739,022,559,051,740,973,054,960,947,370,282,670,955,130,
546,225,469,874,146,708,460,501,802,302,102,291,148,066,143,517,053,534,007,
324,934,690,069,947,771,547,588,156,056,256,888,440,898,463,556,943,679,687,
454,243,684,046,833,281,138,541,523,151,369,504,476,658,040,920,433,365,266,
345,504,555,265,811,187,573,260,938,681,528,979,631,862,995,694,019,253,202,
936,498,920,863,895,113,683,455,759,886,932,451,156,775,658,599,245,595,528,
721,984,957,414,790,274,702,870,817,131,914,145,847,004,027,339,062,308,372,
297,086,467,590,310,253,858,433,035,328,409,528,699,309,909,505,978,985,228,
380,172,705,657,178,692,473,847,716,872,912,342,660,020,586,291,399,261,131,
160,640,285,233,145,006,651,486,489,387,900,855,881,794,897,622,123,422,923,
146,416,618,995,101,386,170,576,806,576,610,515,239,329,799,008,832,865,850,
725,619,232,124,577,485,869,916,259,261,926,361,523,564,702,946,588,937,335,
836,232,961,810,336,470,354,184,289,460,184,057,761,035,876,198,535,840,353,
661,098,426,202,925,632,579,438,419,556,835,557,562,829,711,727,431,024,857,
306,487,507,183,807,046,701,526,475,001,068,376,053,212,101,340,688,209,368,
842,198,641,951,193,521,211,884,072,404,062,508,952,882,550,807,671,045,327,
659,639,135,486,458,351,354,549,634,682,056,180,578,854,150,523,060,835,022,
854,403,880,926,895,098,047,501,075,333,153,594,416,391,627,780,344,565,349,
471,032,595,543,780,136,364,926,175,119,748,514,930,776,247,858,440,257,050,
382,168,064,915,766,238,834,084,432,658,750,701,342,710,003,728,805,779,921,
276,776,257,401,078,904,618,430,015,562,888,069,552,388,426,824,674,102,887,
004,919,645,098,784,297,018,792,984,972,139,661,067,215,559,935,869,500,126,
515,653,562,706,152,381,210,444,240,636,656,208,234,798,889,476,575,668,343,
190,613,324,923,029,651,345,413,480,406,722,644,323,914,225,163,952,821,087,
179,278,132,417,181,217,197,048,635,561,507,085,889,116,585,266,732,520,976,
049,154,958,203,150,614,048,675,343,871,801,774,696,239,732,056,721,838,315,
899,107,044,052,456,044,139,646,381,258,911,199,783,128,825,803,089,306,257,
472,867,959,091,243,034,307,993,938,024,052,936,954,693,129,757,109,218,755,
904,760,650,675,198,766,248,230,672,614,309,316,455,646,816,024,842,171,668,
832,035,333,090,001,648,764,774,775,309,288,446,187,775,751,877,541,502,017,
931,604,248,078,980,593,144,889,591,136,858,991,985,248,989,165,722,118,314,
030,526,661,775,501,055,700,452,368,312,291,043,276,125,537,450,699,590,896,
664,845,399,741,866,494,285,274,000,722,603,197,981,980,287,424,326,660,975,
534,902,497,334,780,142,004,896,837,515,604,204,676,743,746,853,475,116,651,
813,007,037,987,287,034,688,296,222,050,185,341,427,508,049,898,016,455,244,
709,697,386,551,877,840,932,568,872,113,240,625,171,862,713,166,826,013,056,
099,019,938,710,415,830,559,050,829,756,566,894,682,966,804,991,698,303,776,
034,658,775,164,509,319,875,175,247,729,273,921,152,055,610,665,813,014,174,
001,725,762,467,577,008,802,694,785,845,296,723,933,379,702,129,908,282,485,
559,145,069,791,609,523,786,216,400,298,962,950,995,193,831,150,818,228,930,
479,581,979,715,324,609,361,878,261,534,279,660,837,199,106,824,516,840,668,
978,344,820,189,194,895,761,034,624,409,709,265,496,421,499,201,847,195,855,
711,793,786,045,893,724,097,886,097,820,196,976,395,836,460,088,969,694,451,
652,050,516,362,773,294,400,347,092,142,987,309,184,088,956,517,777,206,910,
296,795,015,855,063,600,064,046,019,289,873,262,611,403,480,836,566,867,220,
714,667,603,356,850,956,568,275,186,712,917,891,934,823,611,135,253,965,491,
009,529,138,218,967,984,332,012,486,203,281,391,227,193,197,193,480,262,316,
147,341,200,534,217,312,873,125,106,756,413,338,786,067,546,759,950,274,614,
840,080,697,646,810,309,382,588,769,442,596,253,167,390,212,481,808,773,867,
717,567,786,715,088,474,110,139,687,790,048,910,480,342,150,941,918,595,154,
498,197,348,088,181,862,513,754,825,683,471,752,130,755,060,004,810,796,443,
534,547,905,236,788,709,869,154,321,658,510,528,755,441,994,386,130,735,816,
576,476,858,475,338,464,125,574,820,299,510,250,123,816,779,077,967,801,824,
330,598,120,321,883,057,532,688,129,622,611,823,781,692,182,874,949,514,718,
483,954,813,094,212,360,001,251,792,073,304,681,543,429,332,660,055,188,917,
618,494,747,377,316,468,229,609,513,742,229,351,065,653,324,099,159,274,817,
493,611,027,762,133,311,682,495,994,199,943,018,974,920,903,784,472,148,772,
175,201,878,306,428,516,434,758,059,276,219,049,895,203,548,258,862,408,141,
472,073,831,718,444,818,482,287,188,813,008,812,846,420,001,021,562,240,260,
175,090,790,016,389,927,648,575,811,242,504,662,931,939,174,557,154,476,797,
019,813,217,751,682,450,417,771,662,065,866,291,833,885,898,472,343,294,830,
118,847,735,355,712,174,427,598,222,689,193,711,399,996,801,194,298,756,234,
650,167,154,983,584,635,071,888,871,745,795,770,850,607,895,330,626,434,344,
380,081,866,102,696,804,482,071,350,834,962,314,832,074,904,658,299,184,642,
375,592,710,868,614,460,877,408,835,291,162,085,966,252,855,777,517,614,104,
268,609,603,588,348,002,006,089,318,562,455,876,482,433,048,128,235,491,466,
993,892,589,831,473,945,884,182,808,474,530,982,256,682,679,512,062,452,710,
078,688,150,196,766,205,982,665,360,924,541,159,033,380,018,596,151,713,913,
317,679,675,923,393,479,009,074,441,545,346,891,750,759,645,801,452,004,225,
039,316,328,856,876,713,239,129,042,449,610,505,469,959,252,941,042,850,515,
862,037,385,922,003,087,609,330,350,800,111,415,661,369,770,964,320,203,274,
325,783,909,796,231,731,014,817,122,847,831,817,423,232,174,702,317,486,759,
015,060,420,575,939,366,769,509,680,569,161,719,053,128,723,808,154,225,817,
059,099,809,829,913,202,171,539,814,644,939,280,999,426,138,556,835,308,478,
189,653,151,795,553,086,612,546,342,476,810,238,867,952,006,480,467,594,539,
227,566,663,789,552,624,061,382,607,010,052,267,092,536,725,087,801,351,816,
448,515,141,093,915,342,163,005,274,024,392,972,704,794,838,939,869,930,298,
196,408,706,721,110,393,484,463,684,925,588,133,839,225,381,829,438,758,816,
525,379,050,619,138,761,045,044,699,952,326,668,343,864,251,646,349,875,249,
467,787,767,028,946,952,825,881,085,644,335,616,440,191,762,353,032,724,998,
618,374,132,636,547,744,826,261,031,572,992,771,871,930,906,876,992,529,507,
845,383,489,397,333,996,443,805,034,433,294,417,634,830,411,648,750,629,245,
831,749,291,715,586,381,665,647,737,922,400,531,079,942,956,656,549,259,195,
135,707,330,944,966,507,349,716,219,156,676,130,220,413,924,716,468,784,814,
008,838,155,953,998,729,455,680,656,628,931,608,631,506,320,542,929,593,551,
943,329,429,523,916,185,051,712,744,686,525,211,990,088,582,745,467,792,296,
996,989,339,893,286,259,731,060,187,692,093,772,334,640,474,764,171,472,692,
124,301,363,962,893,188,686,249,365,879,453,719,483,615,826,271,616,928,491,
707,594,866,892,809,892,042,395,644,022,802,995,487,030,046,583,118,855,560,
683,638,634,629,102,546,320,689,685,664,127,958,107,945,538,730,115,548,458,
382,093,605,052,707,543,067,789,517,059,247,946,811,200,388,093,570,242,797,
737,531,674,568,861,737,513,527,490,106,807,878,604,523,313,272,334,043,169,
107,748,438,178,267,763,926,369,117,198,284,897,840,086,562,503,653,659,589,
947,479,359,060,975,536,421,013,246,327,158,522,158,356,306,942,926,352,201,
456,906,897,787,381,964,187,379,155,826,335,363,596,060,743,182,426,682,058,
726,933,725,488,658,974,247,681,045,994,260,030,496,877,667,356,607,063,738,
879,999,239,637,260,222,064,770,126,219,373,581,049,970,704,608,715,896,182,
197,120,932,597,726,344,997,937,057,187,877,396,582,758,366,290,190,450,075,
562,409,781,595,051,883,247,392,681,245,599,901,059,527,980,212,665,068,292,
316,469,057,942,433,449,073,429,460,318,977,144,448,647,571,379,780,266,321,
256,491,166,888,566,217,698,821,093,475,819,201,097,818,302,754,563,094,112,
928,955,632,077,034,961,662,729,480,394,135,373,887,157,245,003,165,464,072,
797,256,366,030,023,642,523,070,509,370,981,414,793,532,882,040,522,058,272,
687,920,165,435,044,310,883,471,168,219,745,225,716,136,002,950,862,334,262,
700,834,559,893,117,164,693,441,387,611,474,752,574,420,551,567,552,792,880,
534,845,910,192,653,295,759,166,071,785,466,919,450,044,896,178,865,406,113,
981,371,908,174,439,524,477,409,000,690,351,077,120,574,207,765,386,894,333,
258,281,056,381,514,043,687,889,074,110,387,935,491,390,103,530,482,108,597,
564,788,349,256,109,328,398,295,305,769,214,113,993,340,569,387,316,620,520,
792,346,503,056,720,781,777,532,881,584,015,891,660,183,387,053,077,276,137,
368,647,291,925,221,856,888,621,716,571,438,535,122,440,012,469,742,702,346,
993,846,694,045,213,559,247,328,609,773,684,686,510,009,717,739,828,236,967,
116,675,151,688,571,720,770,975,720,213,789,058,074,696,307,685,653,544,053,
364,501,671,460,341,126,473,968,268,818,222,661,257,806,450,072,796,109,764,
835,530,591,482,343,984,434,941,439,075,733,080,636,951,269,995,044,657,099,
419,348,209,090,469,079,993,313,341,955,370,729,772,464,960,219,322,851,205,
341,289,483,038,130,051,042,856,334,707,050,371,204,438,422,089,353,918,591,
115,595,825,479,519,758,619,954,165,714,692,282,623,407,965,351,672,792,638,
854,351,760,838,468,892,474,525,449,372,070,499,190,130,227,646,531,240,679,
510,976,139,373,041,593,666,512,348,867,719,179,179,070,554,187,679,679,547,
204,194,412,310,606,028,635,059,873,255,169,328,958,610,054,216,222,489,355,
970,106,851,134,928,764,748,447,995,880,585,309,389,729,458,348,077,666,690,
621,564,011,202,627,506,436,241,733,236,288,725,689,818,104,211,181,907,435,
302,736,423,656,985,357,614,157,297,552,908,189,307,750,484,541,046,021,316,
070,548,289,964,308,396,982,970,025,865,726,936,174,602,062,840,647,353,351,
385,596,369,749,492,465,959,487,484,666,596,721,319,748,082,795,196,043,699,
339,584,775,304,122,714,146,263,895,103,059,718,471,194,218,154,485,621,270,
536,581,963,161,660,601,326,669,293,193,204,360,322,347,557,192,378,990,688,
080,576,812,655,831,363,642,484,384,211,725,887,579,758,353,996,134,553,387,
017,324,376,470,759,919,401,674,145,068,623,226,550,826,398,687,191,301,562,
283,107,514,330,307,000,828,785,099,552,673,580,331,971,458,510,151,902,372,
104,885,783,773,737,263,011,790,578,281,052,314,726,270,723,406,566,132,711,
795,080,005,904,282,094,435,764,970,658,599,772,333,323,187,886,439,777,830,
494,062,270,041,723,766,343,297,562,416,253,114,015,305,381,422,229,679,906,
112,941,443,263,101,480,690,087,698,212,582,621,231,615,975,395,161,265,087,
255,599,056,791,457,292,240,388,406,916,128,600,810,530,706,179,576,022,168,
266,620,699,236,061,074,608,016,315,438,186,898,585,667,609,674,834,492,711,
674,294,590,433,485,650,307,025,443,259,908,406,150,636,078,655,005,556,941,
740,857,465,641,891,532,552,538,143,704,274,577,294,523,561,635,052,265,078,
014,215,538,523,528,751,227,919,436,744,588,926,937,776,925,287,031,788,061,
958,534,639,089,547,882,040,638,012,452,146,872,976,745,580,276,160,529,772,
701,018,361,734,199,443,930,815,028,387,589,471,357,688,672,787,625,772,184,
816,955,307,928,153,092,766,402,284,268,681,832,892,138,219,628,324,859,818,
136,000,168,276,562,858,684,187,126,310,598,149,910,156,773,589,880,140,591,
936,620,637,921,087,137,542,114,103,243,111,199,062,505,691,078,421,807,472,
367,038,607,017,175,289,343,135,482,380,584,721,283,777,261,697,571,984,980,
981,164,635,366,039,417,323,822,206,598,193,260,708,559,106,978,702,036,527,
249,615,975,015,641,594,079,869,385,268,800,436,705,789,356,645,816,055,778,
994,619,143,949,013,116,208,515,299,414,109,558,037,515,155,899,997,163,614,
595,154,099,893,105,138,655,136,950,059,188,630,618,479,312,163,981,622,777,
170,072,170,296,744,815,696,830,863,872,498,513,061,040,907,275,467,956,599,
173,467,737,855,341,859,529,080,830,236,307,006,862,127,592,771,930,347,870,
395,848,155,850,573,371,748,026,292,614,938,057,977,726,357,849,672,550,338,
230,129,207,905,616,915,187,146,792,478,344,709,997,392,953,111,270,838,030,
757,450,952,169,225,261,356,785,791,473,968,498,061,429,189,485,992,052,620,
767,046,736,905,719,990,068,790,892,140,029,583,927,603,668,415,530,648,333,
784,881,103,367,288,298,171,219,664,371,370,898,382,149,694,969,459,411,025,
351,578,871,257,908,126,206,019,769,551,834,430,291,921,108,299,227,229,172,
724,795,374,916,212,622,828,649,253,150,800,994,466,097,780,517,000,999,120,
993,124,627,209,721,792,685,550,741,111,849,064,288,086,163,293,916,320,405,
207,363,796,665,736,518,580,218,125,111,629,021,755,221,186,956,425,185,884,
742,686,730,122,102,627,574,859,328,755,205,193,133,056,996,802,310,935,966,
755,266,891,927,840,034,024,103,110,346,081,802,130,999,426,487,437,027,711,
724,148,931,903,855,985,407,252,664,754,181,992,650,934,239,726,501,503,306,
715,771,494,829,707,182,593,312,805,724,504,790,929,584,481,103,077,233,569,
872,761,105,670,208,259,111,112,121,358,059,492,193,325,730,148,784,392,318,
426,694,538,842,816,743,587,063,199,223,626,436,799,929,448,914,847,846,048,
257,582,261,716,038,366,355,843,691,668,553,132,874,655,541,828,312,633,735,
853,308,599,555,445,266,414,545,395,793,010,177,976,877,731,983,394,498,175,
048,832,979,144,964,680,126,462,538,870,286,284,908,629,759,622,800,552,502,
537,831,934,993,995,726,179,911,751,343,227,271,315,865,357,628,751,854,376,
225,393,945,355,242,016,619,576,888,584,740,142,244,665,644,397,174,177,855,
770,604,287,210,503,116,707,510,217,001,524,998,561,937,477,115,913,879,089,
577,143,652,513,633,735,240,664,953,139,260,440,181,364,088,685,606,529,774,
647,551,579,544,715,023,897,103,616,151,577,869,402,605,745,776,293,631,322,
586,435,797,258,940,265,956,567,681,233,596,425,142,199,189,218,596,137,406,
490,481,096,196,979,192,392,429,347,463,122,693,190,572,633,513,238,497,803,
662,721,592,997,166,186,003,875,221,933,532,399,199,232,739,535,353,308,760,
714,500,046,290,933,291,314,352,463,146,402,742,626,558,354,619,415,561,728,
309,295,192,360,916,702,097,114,798,273,092,948,483,584,864,127,977,989,852,
744,728,629,549,953,687,455,628,069,238,073,302,120,518,400,036,659,484,447,
187,130,516,372,327,626,794,884,634,453,137,106,516,642,809,120,042,153,602,
438,372,558,117,741,495,343,649,568,185,310,728,584,048,787,988,431,157,209,
673,982,504,490,214,864,885,252,079,841,940,746,785,196,297,733,485,835,481,
736,588,031,208,475,288,204,608,045,571,972,456,497,034,794,020,796,892,548,
902,420,746,287,292,588,616,010,782,369,115,728,064,580,396,396,516,572,263,
444,006,352,840,185,551,430,361,776,949,675,402,544,924,322,859,764,171,374,
040,009,204,084,947,183,171,592,024,475,316,142,079,720,448,635,515,263,759,
540,753,884,642,457,421,730,621,184,765,741,223,598,018,648,244,449,060,779,
135,850,283,649,730,632,632,052,239,150,228,835,574,716,082,401,550,506,530,
956,314,800,204,074,735,819,002,411,425,600,552,550,687,547,879,266,494,707,
591,714,450,698,685,568,187,717,700,756,386,161,186,774,492,462,453,463,912,
904,974,861,127,137,568,583,513,229,751,445,461,796,907,453,665,481,161,784,
606,251,704,721,339,885,496,611,671,798,617,710,999,754,625,041,680,261,942,
044,129,917,074,126,208,240,332,120,328,674,612,518,282,694,124,816,536,279,
253,856,707,647,554,484,623,592,222,671,180,258,736,675,270,532,802,647,232,
625,105,441,945,141,476,187,812,436,808,095,216,506,936,447,339,553,489,475,
264,811,420,001,082,632,861,562,475,383,709,079,442,595,981,092,766,975,584,
898,216,032,130,011,687,811,457,992,191,850,657,218,515,942,844,066,067,395,
099,333,402,499,243,746,586,693,536,212,127,263,124,966,156,385,903,370,600,
249,962,400,178,846,341,037,600,694,144,982,011,418,103,310,925,502,407,706,
256,379,117,718,234,039,451,271,470,671,870,432,638,165,859,957,460,783,908,
791,260,248,122,236,109,659,489,714,793,598,631,328,605,535,783,591,224,640,
474,143,003,738,156,721,488,655,309,939,454,885,374,206,689,319,973,800,872,
230,145,956,336,245,385,840,038,835,932,368,389,878,876,467,458,066,670,449,
597,092,756,503,078,625,933,873,787,222,247,127,907,154,233,061,619,567,629,
334,164,319,839,828,870,403,905,457,853,628,017,390,282,270,385,668,387,489,
578,342,958,846,284,222,418,841,307,185,343,315,988,757,679,076,441,704,356,
866,233,787,684,768,963,929,278,218,724,432,939,555,168,637,913,420,546,676,
934,064,425,488,676,205,739,047,022,796,791,685,898,324,947,434,903,861,127,
840,472,211,850,197,697,281,317,825,097,175,409,632,172,205,944,574,009,898,
106,564,286,243,806,993,021,479,840,458,004,243,766,340,649,527,604,992,230,
025,185,403,080,994,500,732,649,565,423,669,302,955,440,943,744,197,387,940,
492,897,113,749,876,097,049,220,333,241,521,307,230,063,077,057,068,347,628,
597,067,906,458,527,617,655,005,386,951,469,090,166,640,637,374,598,224,593,
503,085,829,752,440,912,194,069,405,621,585,059,093,532,966,635,808,177,318,
774,727,467,689,744,603,776,978,326,135,600,353,784,273,118,174,429,707,350,
414,914,126,054,805,668,668,387,173,684,579,334,381,772,516,371,078,268,846,
796,689,436,252,269,688,701,904,668,593,379,666,934,967,120,504,417,023,962,
906,885,081,153,099,187,861,873,576,677,203,308,642,562,013,685,048,885,160,
420,224,494,873,541,235,460,051,696,494,107,089,414,971,214,607,247,483,644,
317,624,301,197,373,541,181,511,037,493,914,022,195,732,769,272,607,374,445,
472,054,631,952,981,311,936,751,711,367,427,911,954,912,806,469,518,301,054,
740,904,146,776,116,452,705,879,190,929,390,900,824,953,686,563,921,744,385,
908,359,636,790,690,839,311,444,718,738,738,094,496,000,110,761,865,442,210,
445,956,630,737,337,139,632,831,634,787,132,669,244,074,181,378,353,229,541,
501,433,869,428,418,286,386,567,915,349,756,560,189,892,135,903,506,187,489,
390,708,493,387,535,933,100,084,165,597,532,179,224,284,275,441,739,701,701,
894,198,017,343,897,206,208,059,185,795,193,000,606,845,710,586,431,981,021,
064,055,657,978,143,149,812,552,174,920,779,007,685,028,548,031,228,966,299,
869,039,164,952,362,819,039,183,133,950,336,377,517,337,411,131,011,796,937,
061,629,687,108,559,759,393,074,742,049,322,893,074,277,574,276,778,202,742,
471,065,280,524,286,209,013,089,778,988,275,007,589,097,537,095,394,396,956,
687,465,341,741,373,197,094,391,629,272,993,772,673,742,167,712,184,841,300,
862,439,069,992,064,797,617,300,449,580,359,853,067,772,312,991,224,692,746,
971,968,964,811,335,235,014,200,847,406,006,252,370,424,110,431,681,557,587,
174,855,723,005,731,244,901,897,445,912,329,166,811,110,715,917,040,734,561,
455,184,436,623,868,385,728,769,871,437,271,224,930,107,365,415,568,285,785,
829,519,847,452,656,918,222,532,283,872,602,986,772,574,063,455,654,797,429,
326,771,091,191,077,942,314,697,577,584,100,924,915,163,853,256,358,111,650,
526,401,269,414,237,309,619,544,089,813,500,318,769,072,010,113,387,218,645,
799,544,628,118,684,347,028,648,736,405,362,328,036,800,781,499,575,544,787,
612,799,755,481,339,191,014,214,922,132,945,304,232,945,192,312,448,376,347,
689,325,725,476,304,776,737,248,981,718,047,088,287,514,702,341,387,868,724,
606,179,742,075,465,745,336,091,733,535,744,762,964,590,172,543,068,675,336,
430,475,762,731,145,529,342,070,476,784,448,288,664,575,670,574,218,608,868,
574,299,288,880,706,737,566,198,256,351,204,434,841,863,966,560,146,173,330,
759,959,248,622,639,257,176,401,127,563,873,505,859,236,848,534,906,744,182,
350,767,823,311,112,300,411,099,926,550,657,104,638,797,484,314,147,085,030,
684,166,394,335,770,923,332,490,192,529,871,731,775,132,419,682,331,950,937,
948,504,483,917,779,458,669,016,666,814,312,359,607,105,916,779,949,719,384,
753,572,698,295,930,622,156,336,564,311,289,817,287,819,463,582,063,847,178,
387,120,655,314,679,021,044,500,466,963,321,459,702,983,491,414,053,861,052,
756,919,925,882,226,590,244,943,387,520,244,779,418,801,253,396,120,707,353,
675,102,049,456,230,881,792,856,356,511,909,143,612,271,726,936,280,024,799,
982,262,753,360,560,654,755,063,041,778,656,428,371,081,005,015,283,259,481,
357,008,387,054,398,742,057,076,047,072,671,520,756,316,647,155,672,621,081,
426,930,738,567,861,322,055,042,096,066,236,088,560,450,132,817,621,814,203,
845,555,871,056,316,685,062,549,594,224,085,984,633,135,989,408,899,316,308,
674,016,667,221,523,598,090,287,319,535,634,096,011,729,688,400,543,144,028,
048,871,968,470,249,464,632,938,745,604,445,274,315,710,601,651,080,889,486,
079,228,817,377,059,535,509,462,750,214,954,628,492,710,314,521,858,659,955,
630,599,162,220,815,991,385,960,921,539,574,206,617,332,287,311,342,452,481,
553,897,874,883,845,224,996,010,294,350,456,755,411,665,865,846,170,103,976,
282,973,978,796,806,876,458,814,290,241,611,218,495,944,373,356,736,490,384,
388,094,244,776,005,362,027,306,499,533,104,902,311,777,322,573,211,984,523,
409,709,571,094,104,591,648,998,697,319,678,217,866,405,872,759,603,851,105,
441,530,602,738,149,877,495,926,601,490,196,449,023,037,754,750,506,509,463,
951,229,198,185,895,634,705,065,258,420,435,487,281,978,366,439,923,358,117,
026,528,669,917,248,177,370,765,229,206,593,711,574,504,128,269,674,275,566,
209,802,080,528,766,789,016,186,900,665,368,886,800,161,958,647,693,095,033,
875,213,595,539,576,005,298,613,003,871,249,325,888,554,911,737,995,240,658,
752,812,598,264,556,382,349,353,583,230,330,475,450,394,730,238,479,692,382,
806,782,805,084,898,061,328,276,354,335,884,207,631,822,839,960,769,576,529,
571,512,901,678,665,602,283,996,768,550,516,124,144,760,181,199,396,082,978,
512,679,250,916,452,539,095,363,747,589,542,806,230,154,238,458,461,541,315,
320,357,798,588,275,725,222,733,953,167,792,712,008,667,293,697,834,164,237,
399,810,681,389,584,037,313,251,066,758,777,507,876,197,925,753,095,849,056,
516,236,731,832,277,041,937,222,348,757,567,263,854,342,850,468,086,960,736,
388,394,800,253,922,907,580,489,558,041,276,311,201,937,913,803,941,918,865,
927,822,592,952,207,736,418,409,393,958,946,280,639,572,420,937,473,031,507,
809,507,418,777,247,694,879,820,840,191,295,288,854,781,730,024,728,616,762,
470,911,136,583,042,412,042,944,089,121,740,841,131,602,650,940,426,122,954,
646,114,553,164,731,784,771,388,925,310,455,004,385,054,173,507,234,634,827,
308,539,033,987,881,010,125,874,978,027,040,677,105,637,075,544,321,156,646,
706,516,284,695,016,830,535,205,618,496,947,800,659,450,833,755,662,523,124,
181,746,795,781,404,912,197,338,661,485,217,147,735,499,361,059,094,648,816,
583,083,773,797,043,966,925,471,014,643,652,773,400,145,300,313,730,613,231,
528,794,281,484,844,990,989,158,462,700,839,764,061,218,242,107,455,410,777,
195,576,683,354,674,406,685,923,288,397,893,280,087,316,994,983,747,887,208,
892,842,925,805,965,473,304,979,323,220,145,835,707,725,556,071,524,745,886,
280,320,868,603,753,985,530,967,617,476,379,762,141,779,286,130,828,086,530,
325,541,905,580,977,805,325,418,120,360,553,052,370,700,546,516,650,047,312,
918,556,609,189,234,736,064,979,287,242,309,565,617,868,569,577,434,122,076,
417,026,830,321,311,920,544,353,661,328,497,906,312,848,717,792,477,949,842,
765,279,043,321,770,375,913,017,227,699,226,959,200,952,962,238,280,304,736,
984,692,805,369,965,208,319,756,700,575,891,337,459,610,815,278,638,070,874,
080,278,708,436,365,786,316,978,711,352,320,870,105,446,524,949,750,796,658,
643,315,045,086,558,214,161,348,101,217,799,744,596,576,303,658,081,338,836,
827,021,501,609,720,115,643,284,239,396,405,914,426,607,418,868,613,357,038,
929,638,949,004,569,693,184,297,806,971,673,762,022,869,801,899,785,605,263,
494,535,410,936,653,860,146,998,261,829,863,391,005,062,015,412,851,947,698,
055,919,446,653,305,826,109,945,354,509,346,455,721,357,779,214,857,981,933,
060,774,925,980,980,172,154,317,399,867,079,506,683,173,280,296,709,144,040,
938,625,119,632,393,936,509,547,211,276,845,978,800,174,306,429,100,331,797,
367,940,442,354,390,768,252,506,469,701,093,911,176,247,696,489,280,521,026,
071,266,867,386,128,737,687,325,949,218,512,366,414,921,167,907,623,652,826,
391,461,490,885,084,258,323,246,202,813,559,017,368,796,741,385,979,592,698,
581,472,699,169,954,849,585,004,126,515,949,186,154,834,218,073,240,860,160,
540,614,065,669,067,319,824,669,867,011,438,674,310,581,092,690,302,892,360,
485,869,528,322,019,296,535,762,469,612,670,352,348,676,287,269,930,399,004,
021,258,661,479,052,468,012,844,155,065,205,752,598,160,887,795,930,633,300,
551,498,595,488,178,727,865,115,983,552,083,086,686,822,505,450,030,531,966,
199,831,750,013,567,061,784,112,593,986,608,542,521,582,274,425,539,985,936,
699,950,943,651,790,920,170,663,864,159,211,315,496,059,127,624,984,271,576,
917,810,507,716,159,136,077,679,823,915,589,842,675,946,131,065,366,417,245,
208,356,319,228,252,140,842,083,853,805,902,151,068,722,687,411,009,137,346,
479,565,990,659,752,322,980,508,449,015,672,661,675,676,129,170,631,311,101,
698,156,132,805,507,844,571,052,653,344,506,996,304,370,314,810,941,564,744,
104,522,392,344,092,645,179,403,980,813,859,516,856,853,824,929,298,024,919,
030,809,523,867,287,103,661,249,212,861,902,502,629,471,948,602,256,350,070,
191,063,271,823,124,297,795,088,187,879,662,145,195,020,661,362,141,577,406,
469,981,826,198,682,426,742,777,975,705,410,185,721,870,128,538,000,932,639,
996,793,896,430,359,967,433,366,450,371,475,495,257,440,954,179,207,365,059,
245,504,013,068,657,645,196,670,871,443,302,030,168,800,385,635,276,013,049,
481,361,801,580,268,845,656,445,465,910,698,411,170,742,517,655,368,075,665,
813,566,853,242,284,416,980,152,164,509,967,387,522,828,804,333,479,577,302,
985,131,829,952,750,263,191,733,733,415,928,583,934,578,150,159,345,844,372,
919,025,190,712,152,750,916,842,499,912,704,060,259,686,415,534,383,956,576,
129,486,936,367,408,220,798,234,788,717,218,159,390,776,446,283,531,146,064,
812,145,298,416,253,620,748,174,117,453,513,116,255,151,261,170,565,423,810,
809,456,589,712,644,706,469,012,901,737,388,330,779,616,505,873,262,305,191,
654,095,625,891,671,426,136,391,836,159,255,030,697,479,647,112,169,032,080,
300,036,813,476,205,931,040,412,451,944,525,044,469,969,790,742,171,878,322,
527,793,082,769,544,115,754,976,225,789,259,811,452,021,035,605,028,139,149,
056,733,799,059,274,812,624,675,699,868,311,209,613,955,940,742,348,194,891,
776,717,157,770,152,838,113,165,069,186,574,951,866,327,908,692,932,464,169,
696,236,922,697,189,703,321,571,416,176,163,426,985,615,027,067,893,611,668,
490,733,714,580,174,639,009,429,824,574,578,242,883,850,052,291,852,227,490,
179,363,280,557,199,092,606,212,920,076,672,501,351,246,552,374,058,794,580,
127,841,718,972,408,962,303,692,994,751,625,369,088,369,904,261,935,930,773,
136,228,356,597,856,093,706,051,207,448,510,643,485,149,775,995,643,466,158,
199,225,119,116,330,562,135,917,072,728,500,378,510,794,372,810,574,735,589,
422,488,064,529,311,759,192,477,798,713,198,740,316,878,464,838,323,837,901,
385,311,699,851,168,328,441,132,775,270,941,256,769,554,150,376,098,110,924,
933,894,955,513,857,379,552,258,680,571,536,831,674,128,029,535,774,826,620,
103,035,650,239,016,002,456,549,962,347,143,113,837,787,200,032,342,412,776,
964,160,588,376,936,705,348,085,970,786,160,022,849,290,123,464,045,835,872,
690,365,690,273,876,055,956,987,120,853,395,876,840,591,484,940,536,733,734,
157,322,038,329,044,233,091,183,833,522,505,264,591,703,918,874,532,141,222,
934,302,270,148,045,196,287,114,775,142,233,711,051,704,202,556,473,742,202,
965,505,421,459,039,006,061,913,317,202,417,370,566,849,526,011,336,784,758,
022,531,266,025,260,625,376,022,901,539,770,355,846,820,343,842,905,159,688,
815,264,359,057,797,747,653,468,474,261,760,741,004,225,098,650,782,428,031,
556,767,178,722,383,979,825,369,643,836,433,575,554,955,727,419,533,695,853,
516,131,800,315,991,359,722,443,424,106,831,766,573,637,047,660,296,898,029,
537,025,205,641,642,369,538,390,839,391,584,773,470,401,766,829,576,788,956,
107,794,371,020,121,135,961,272,949,642,029,378,060,649,349,758,327,234,348,
105,806,408,851,101,132,442,203,175,115,304,702,010,042,995,383,044,696,300,
736,323,460,933,808,189,370,887,936,579,520,009,010,435,668,571,976,494,055,
908,857,892,155,288,999,660,685,918,363,211,674,094,300,174,365,370,728,147,
811,158,138,417,309,482,438,089,821,809,598,587,860,436,817,904,602,770,751,
667,151,930,685,159,423,794,420,362,704,545,038,836,761,641,956,756,753,383,
835,342,791,800,049,482,219,988,225,931,877,231,770,812,088,535,856,341,169,
062,511,970,361,156,270,005,811,384,591,354,833,469,634,594,608,620,914,932,
439,584,819,524,816,961,996,080,738,178,430,153,971,181,254,522,625,406,545,
620,318,040,015,822,621,144,049,102,407,352,276,258,035,013,980,754,679,327,
676,537,972,388,741,307,852,735,712,031,355,540,378,648,527,223,981,201,286,
555,905,360,905,013,073,217,556,937,234,332,285,426,017,511,691,142,790,490,
149,577,118,203,959,409,951,298,584,272,376,222,131,230,411,817,542,831,869,
030,916,812,044,900,045,126,852,460,797,300,444,315,126,528,817,835,065,896,
385,564,436,650,577,864,851,963,033,915,364,976,328,762,110,314,045,372,504,
101,170,590,111,631,324,594,923,244,040,415,730,149,560,740,653,441,260,073,
032,984,449,259,512,189,083,361,032,994,364,432,828,384,299,182,784,927,254,
233,525,975,248,976,322,992,258,062,640,605,773,184,816,110,554,054,256,099,
668,002,132,681,035,616,238,666,645,644,915,454,335,504,827,405,506,418,557,
363,043,723,943,964,245,300,021,788,484,191,424,137,336,551,464,734,027,613,
174,092,165,844,875,685,965,449,983,121,518,449,957,199,746,059,481,469,588,
324,120,790,377,632,043,240,015,276,832,993,747,519,931,047,355,450,882,612,
865,457,502,815,662,386,591,068,425,923,438,563,245,361,423,115,878,838,166,
961,194,410,475,855,578,927,877,586,554,162,604,704,469,332,986,897,897,209,
664,962,640,763,341,903,272,846,303,590,377,883,751,375,037,365,699,326,153,
728,494,489,083,244,991,977,686,013,985,589,241,630,998,892,870,383,869,800,
435,568,425,385,286,589,552,984,313,089,075,837,478,907,893,110,035,682,089,
716,997,626,507,885,456,244,531,996,974,114,597,737,546,333,504,567,793,871,
154,698,098,187,782,258,807,049,187,790,488,376,393,515,386,574,422,844,449,
711,011,182,592,608,101,277,392,855,831,571,432,571,839,746,310,346,644,707,
738,531,003,672,289,286,436,157,415,140,226,947,343,929,447,708,232,591,308,
647,084,034,601,175,518,184,565,274,535,153,895,525,644,261,094,224,849,606,
485,037,799,154,454,570,066,749,433,922,775,065,450,951,208,421,605,007,739,
392,822,081,229,204,591,331,780,938,650,653,961,961,866,120,990,668,500,791,
556,124,471,557,177,172,710,997,619,071,282,672,843,697,763,549,570,865,360,
541,753,617,703,115,459,318,099,128,262,042,425,375,865,909,097,655,739,192,
379,948,225,033,854,111,569,897,780,266,416,797,628,192,159,421,600,820,684,
165,861,240,035,710,768,198,924,963,374,473,052,004,785,256,078,498,155,384,
019,807,787,566,078,286,131,670,545,937,407,289,838,979,124,589,514,409,302,
924,007,471,440,092,557,877,693,375,244,320,990,067,439,796,558,247,492,832,
252,102,346,848,495,495,606,366,470,918,844,855,572,960,531,831,385,955,909,
802,365,474,361,729,571,752,457,718,721,238,474,701,868,529,914,263,536,048,
154,769,474,861,998,131,710,615,302,998,493,337,041,463,543,356,980,181,770,
982,267,824,166,964,788,284,686,725,354,894,190,929,940,801,547,000,027,006,
681,803,134,829,445,324,724,056,444,008,821,409,037,727,366,546,315,370,535,
638,436,408,306,740,768,132,029,169,096,925,620,205,270,936,406,381,999,922,
956,900,367,206,899,404,340,395,746,705,199,579,310,774,387,587,067,937,117,
537,779,647,773,324,468,302,667,906,829,115,994,746,182,159,542,238,107,444,
044,714,171,536,634,182,329,733,792,940,696,991,411,313,038,560,496,498,221,
197,358,144,152,057,505,750,039,436,865,718,434,160,942,792,974,027,044,734,
528,153,028,664,909,929,062,625,267,570,179,953,926,794,018,820,055,784,563,
932,155,267,198,357,387,308,956,966,442,399,710,527,061,105,439,024,749,040,
058,320,629,670,702,760,181,700,320,026,535,341,132,251,017,079,034,247,278,
628,293,965,910,792,006,300,378,228,903,316,199,681,033,501,401,993,717,013,
554,007,673,663,658,620,149,168,543,245,481,897,784,594,800,957,895,365,149,
793,372,782,826,339,715,698,246,989,882,362,562,954,895,815,919,059,959,814,
618,015,362,598,215,448,319,616,211,423,054,079,990,240,365,909,260,152,542,
869,123,698,849,357,742,015,727,351,479,261,448,116,492,021,523,122,439,007,
041,139,165,326,879,469,821,973,463,548,424,035,329,461,257,147,149,757,406,
218,174,244,470,320,139,558,647,740,676,676,865,539,040,085,399,058,535,798,
111,431,306,808,352,553,345,301,988,995,252,355,189,918,359,366,745,131,215,
450,236,611,242,688,044,615,306,426,167,976,209,906,699,064,962,447,226,008,
792,300,945,700,277,150,652,328,660,810,839,344,016,856,044,476,935,452,451,
206,201,636,194,228,478,212,800,761,091,224,316,778,472,663,962,912,349,549,
370,371,988,135,293,057,547,604,238,366,952,260,917,817,348,227,382,809,736,
147,952,031,883,895,168,572,581,431,793,903,999,966,503,835,367,711,942,561,
281,556,687,873,399,902,152,227,931,957,961,576,681,833,776,105,041,682,864,
971,044,574,727,107,547,561,924,937,103,859,964,933,524,101,235,954,759,224,
795,733,516,307,253,400,478,351,437,669,481,941,724,710,234,573,477,794,711,
061,708,932,062,036,186,587,765,573,522,229,989,727,486,700,984,617,540,242,
553,481,494,978,593,263,080,686,713,602,044,181,221,558,415,206,884,226,075,
049,935,061,852,495,952,707,061,566,513,216,176,839,115,425,334,901,417,306,
075,350,976,497,716,658,111,223,907,993,530,923,336,201,584,674,924,953,764,
509,165,562,590,360,943,616,755,633,019,796,071,352,190,349,732,430,748,934,
771,850,824,755,606,428,609,610,203,008,559,819,923,062,482,316,347,996,807,
313,073,385,843,573,393,452,849,783,809,326,716,204,275,909,923,707,082,282,
373,368,733,413,050,169,155,733,270,080,984,021,790,670,429,586,492,408,043,
010,444,886,595,247,053,978,676,227,675,773,534,421,873,728,996,969,515,832,
579,198,308,892,502,379,438,404,941,269,654,464,294,976,554,172,614,999,814,
252,289,269,588,735,426,440,962,423,496,953,232,309,944,108,749,347,380,247,
730,972,260,849,829,163,994,510,956,233,102,091,509,183,432,275,425,382,695,
414,260,644,681,856,740,785,182,062,973,767,546,832,737,678,454,177,114,392,
306,610,608,793,336,824,848,488,458,078,066,907,577,597,999,149,744,415,012,
884,264,423,928,023,692,094,739,939,356,212,818,607,350,640,969,369,344,008,
939,457,504,868,400,100,764,899,673,716,560,074,384,507,843,682,031,775,930,
464,643,572,333,378,209,138,471,008,330,553,364,698,318,793,310,067,188,494,
705,609,242,491,206,532,973,880,639,679,121,923,891,486,235,542,354,727,188,
558,827,587,798,650,631,609,689,628,380,349,638,917,865,665,762,121,687,327,
106,490,581,075,177,670,456,339,343,949,649,827,552,829,822,394,498,016,864,
545,378,984,254,549,789,011,280,520,994,506,238,168,248,766,943,762,103,807,
563,754,641,826,910,909,783,746,508,360,645,529,438,500,767,128,034,988,815,
486,077,491,596,170,003,610,830,421,115,446,305,399,738,811,437,381,102,971,
885,999,632,850,975,433,134,420,496,177,493,441,399,098,594,490,750,513,204,
477,286,820,850,791,338,784,458,102,293,335,833,027,050,767,847,949,453,779,
619,403,181,270,384,253,335,775,167,231,786,252,548,441,329,871,187,912,732,
220,940,840,688,086,076,377,311,508,514,415,131,505,080,619,057,503,746,423,
043,049,238,573,287,048,380,460,032,435,678,844,993,164,615,746,675,429,060,
968,091,116,472,717,035,369,924,129,085,704,351,464,176,054,496,012,053,296,
155,791,658,517,657,096,084,918,496,014,913,576,286,819,556,705,104,051,472,
664,484,782,147,468,034,175,773,922,026,084,845,855,319,653,761,571,713,291,
582,074,741,807,930,457,158,389,841,379,645,032,497,139,054,831,077,312,586,
354,076,870,741,271,231,524,029,963,885,122,576,337,736,405,710,784,695,083,
090,400,398,409,943,701,446,773,097,344,122,647,220,594,923,701,135,303,069,
087,278,395,194,149,020,316,281,623,061,918,862,101,069,444,823,637,280,249,
134,897,482,614,560,868,932,350,408,589,584,905,060,840,740,557,653,243,617,
606,059,475,412,118,598,754,168,308,437,580,919,125,122,487,396,778,263,670,
065,542,443,022,806,361,228,604,799,399,055,990,680,642,929,987,856,842,154,
749,020,879,588,549,699,999,847,054,016,832,722,635,440,053,638,087,648,131,
687,883,165,152,455,085,261,684,792,815,754,330,008,425,270,727,504,805,393,
288,528,440,614,409,384,461,856,387,645,382,330,226,689,517,839,883,118,082,
673,538,052,694,945,276,422,675,281,977,681,772,493,062,024,491,811,688,681,
166,097,651,103,417,548,543,031,542,781,303,017,252,575,750,520,197,741,115,
952,689,053,135,897,872,544,680,388,180,450,630,249,969,993,159,729,262,102,
943,883,397,535,000,927,533,709,066,335,343,363,606,097,328,323,969,273,680,
025,570,397,507,606,852,633,979,797,743,303,480,963,536,530,422,741,954,109,
213,082,664,898,376,157,420,293,406,054,726,737,604,831,288,542,595,123,608,
049,490,589,751,421,903,624,910,518,426,235,106,886,801,004,486,937,628,266,
462,422,092,038,245,790,384,670,058,543,453,259,900,137,517,595,102,947,293,
090,373,482,372,510,633,964,570,192,663,640,975,429,680,747,283,653,405,428,
678,531,243,237,151,856,436,035,044,177,598,765,459,604,850,826,509,703,203,
004,658,618,391,811,624,342,821,313,944,944,944,847,545,121,973,600,698,785,
112,598,997,183,116,735,385,947,787,964,138,265,177,560,068,433,514,838,145,
695,776,706,489,773,458,659,633,749,224,500,434,280,292,911,180,341,202,397,
599,685,359,903,255,702,158,712,944,003,222,429,552,781,133,541,422,870,680,
740,154,687,338,652,700,984,133,185,856,845,911,448,801,687,014,360,820,738,
327,719,400,847,134,275,583,608,785,961,341,789,760,084,700,180,778,549,928,
927,705,720,523,206,414,519,792,059,158,152,957,591,690,592,277,447,131,208,
192,352,165,891,252,776,570,086,676,506,987,903,680,026,304,038,262,581,142,
858,193,720,301,545,909,972,789,629,941,803,059,360,537,232,564,057,466,105,
264,232,794,206,054,586,533,046,507,099,176,592,905,383,042,375,873,349,264,
899,437,810,361,836,104,900,367,143,814,560,938,581,048,682,069,789,570,590,
164,315,430,569,760,628,854,539,874,215,155,146,621,190,770,627,817,402,090,
044,387,087,100,488,195,048,045,717,896,404,672,670,518,272,427,612,645,334,
019,966,952,060,916,854,541,576,972,836,160,015,596,389,839,061,127,535,211,
390,988,104,703,076,757,820,504,675,731,293,159,180,536,886,229,194,947,784,
449,523,379,573,494,603,588,936,060,258,710,566,660,985,073,865,817,112,857,
906,008,157,201,312,696,456,157,864,977,788,374,884,266,460,653,134,171,287,
528,765,398,414,814,218,515,201,057,644,580,390,820,119,329,596,267,496,505,
157,877,289,951,096,800,992,894,485,719,701,227,186,949,208,753,860,445,942,
933,658,442,971,447,430,574,085,422,969,048,224,008,067,191,567,168,088,138,
802,295,026,898,830,900,018,448,839,254,393,690,926,788,393,276,208,226,190,
951,889,892,438,492,653,723,124,146,430,922,677,433,484,161,360,865,957,484,
448,341,800,448,021,922,510,299,093,509,431,011,789,324,731,059,833,181,093,
752,277,327,230,354,967,579,740,688,304,848,895,082,144,045,940,175,600,270,
645,983,152,124,546,636,284,072,160,401,396,417,862,730,573,920,271,939,581,
499,041,020,255,879,800,738,794,271,998,866,230,672,853,695,331,446,172,604,
449,525,001,945,540,740,680,490,374,295,599,629,449,661,678,631,676,009,365,
834,744,598,507,320,930,181,133,225,067,396,848,136,121,670,492,959,255,953,
661,944,717,197,197,738,874,877,679,843,592,946,386,365,511,107,524,839,884,
510,982,799,693,586,211,064,442,022,259,391,440,322,184,471,939,791,465,014,
008,404,386,979,726,180,562,356,063,021,804,361,094,539,555,381,566,718,591,
236,249,713,532,000,809,655,601,755,719,571,895,721,596,071,134,059,271,340,
451,192,574,917,661,279,901,609,863,007,770,938,529,935,018,968,062,167,709,
310,574,684,700,321,356,015,909,788,754,778,714,042,688,506,972,332,526,281,
546,995,010,581,963,002,772,867,945,250,053,026,338,974,586,686,288,348,884,
431,711,408,112,394,351,166,060,622,691,914,993,320,789,389,277,222,833,752,
146,346,864,341,522,227,169,111,188,984,898,675,595,372,025,970,613,911,931,
953,164,576,919,963,473,035,298,613,135,544,005,368,946,161,366,043,007,888,
002,149,309,310,632,386,962,633,190,290,954,460,168,400,025,331,213,146,090,
342,425,772,435,166,765,566,938,509,308,452,386,491,178,918,618,972,597,938,
648,870,788,407,537,665,991,831,199,604,960,158,380,785,667,081,190,457,738,
706,051,134,878,358,113,078,906,101,347,617,835,405,549,731,527,305,580,455,
076,895,352,569,277,183,774,083,369,603,504,696,806,782,734,654,848,984,553,
141,606,989,504,065,117,795,500,616,963,222,976,043,298,076,413,647,760,685,
190,445,716,529,898,264,860,650,759,933,953,787,305,214,369,203,644,818,195,
379,820,406,764,728,600,586,062,994,219,861,768,866,209,682,233,674,433,923,
478,817,199,225,588,604,317,574,355,575,423,123,060,782,433,797,030,689,320,
923,364,157,572,929,057,041,465,788,499,982,488,757,020,908,252,673,412,387,
935,106,124,113,203,384,390,288,988,605,447,921,808,592,588,364,990,575,548,
129,309,548,593,532,709,187,314,414,704,488,130,744,094,940,279,124,602,330,
114,956,497,647,862,750,643,794,373,230,627,754,013,552,626,375,851,395,391,
247,202,987,277,361,144,574,865,676,033,547,772,781,470,775,222,183,918,769,
172,420,145,860,012,095,567,620,037,733,626,195,378,676,949,429,456,170,386,
958,725,707,067,878,411,515,867,030,989,155,189,054,618,138,901,353,748,551,
683,640,383,949,361,317,046,565,390,231,923,829,713,853,691,803,116,406,101,
722,413,205,624,135,212,935,610,648,271,646,856,201,258,488,396,098,213,847,
171,939,527,492,403,715,240,115,489,379,176,933,902,609,186,437,440,615,502,
039,303,009,428,533,521,305,767,591,260,720,654,146,455,191,323,098,666,257,
812,818,788,146,220,408,980,253,123,340,951,989,836,370,568,534,996,693,733,
769,497,653,852,437,913,976,228,246,426,150,736,387,014,437,880,942,940,916,
028,014,419,176,213,157,317,463,500,406,197,526,443,815,509,194,409,815,330,
302,212,783,068,268,238,576,507,046,006,674,398,412,195,294,694,896,667,214,
213,740,037,179,635,972,242,542,867,372,883,479,215,322,500,444,255,567,383,
151,442,271,389,471,922,706,187,592,804,211,930,678,911,480,352,908,882,253,
028,877,563,559,500,776,780,888,649,278,162,763,773,477,053,252,408,174,520,
123,373,600,389,445,990,946,220,481,649,173,014,617,153,565,192,392,492,904,
162,064,442,068,890,612,379,163,056,412,621,541,056,737,271,397,721,933,838,
877,603,339,490,153,455,172,418,716,743,759,362,591,867,648,343,754,623,041,
830,665,923,217,998,773,204,557,307,196,114,955,009,699,389,320,423,642,577,
795,753,686,135,130,906,383,543,599,606,878,396,875,515,635,707,596,512,633,
424,197,367,550,148,846,022,134,457,379,208,080,016,820,908,122,070,928,100,
489,688,170,265,704,559,159,316,508,919,347,814,024,402,299,596,619,235,052,
958,828,131,509,643,390,423,070,480,791,781,281,321,320,046,894,700,459,617,
678,488,953,539,287,489,450,900,823,605,333,489,256,799,115,707,900,518,184,
408,747,512,376,070,242,584,762,923,945,547,247,324,653,343,189,155,658,888,
316,819,324,814,063,996,242,158,601,167,480,782,773,898,071,545,928,352,751,
314,967,976,962,666,261,308,330,276,542,205,511,606,857,071,305,107,276,639,
390,934,597,671,175,114,430,572,662,682,964,866,317,428,903,549,918,876,907,
942,690,257,967,231,510,593,237,347,560,686,199,131,757,641,618,385,873,851,
172,686,657,711,440,256,051,845,125,240,317,252,019,123,132,534,884,231,282,
633,020,172,218,240,219,107,748,658,921,203,067,116,070,300,703,203,052,202,
746,440,797,457,292,811,870,770,449,419,406,683,155,865,678,683,816,530,656,
114,567,691,038,785,675,220,865,198,582,637,178,175,923,438,736,707,955,191,
385,977,917,850,389,695,532,749,289,649,936,046,751,974,844,743,658,560,782,
743,799,759,436,740,928,710,357,380,057,099,701,303,654,585,309,344,683,325,
328,811,563,945,295,343,399,364,866,776,810,061,671,460,584,283,127,227,333,
931,708,581,067,908,839,273,763,355,910,034,139,772,671,541,310,497,466,726,
604,431,780,036,387,690,925,658,263,744,006,584,393,501,774,799,399,247,362,
005,635,690,954,319,794,362,542,526,136,447,887,518,005,967,446,901,372,126,
067,323,993,491,033,205,658,744,892,064,266,725,997,321,326,716,019,411,492,
264,534,627,632,782,257,000,761,407,051,697,512,459,801,722,064,798,584,950,
816,677,717,973,389,203,895,391,560,912,696,572,510,091,045,701,873,463,289,
028,740,550,849,845,691,872,615,424,798,586,422,311,709,523,993,993,374,388,
604,364,015,021,184,143,682,102,966,276,117,236,676,147,191,550,217,774,302,
417,437,842,297,962,107,471,277,896,633,494,256,350,409,792,298,151,755,526,
043,494,725,788,996,225,186,326,885,458,284,913,427,351,493,816,691,128,731,
522,151,274,035,204,095,185,705,400,323,375,761,674,456,928,839,424,962,782,
980,539,982,290,580,677,129,272,868,706,046,158,973,189,812,737,336,643,119,
528,337,455,662,505,017,111,038,465,373,884,810,662,002,963,903,467,011,058,
038,769,764,655,737,961,486,012,641,797,872,728,892,874,251,098,104,920,348,
624,641,530,452,824,426,290,278,166,648,072,880,781,833,249,881,182,794,106,
073,498,836,047,822,554,811,802,267,279,226,025,873,975,357,527,866,883,036,
894,236,804,182,655,864,463,260,853,648,540,488,690,517,069,490,884,936,601,
743,219,585,004,600,023,407,406,565,918,480,744,962,411,259,261,022,128,191,
876,122,510,088,015,893,465,055,439,514,454,055,359,087,643,946,480,930,672,
605,441,514,001,077,027,738,391,702,758,022,446,577,470,896,714,053,299,645,
511,740,604,167,204,089,098,886,070,887,652,809,381,194,344,621,884,671,007,
355,461,730,999,282,173,685,449,824,966,423,004,269,058,930,471,562,561,860,
524,619,824,820,977,550,210,867,488,264,746,487,525,411,003,952,161,198,425,
828,293,088,676,138,567,077,823,300,173,416,112,592,229,677,852,852,579,475,
749,568,593,765,385,216,332,191,222,994,620,479,316,035,156,766,337,573,165,
749,099,219,855,288,517,551,200,332,101,528,451,001,813,579,739,111,785,089,
630,043,874,772,313,045,424,834,077,076,504,058,813,318,210,467,781,174,274,
125,135,817,244,528,470,968,598,307,243,288,352,116,173,998,930,755,660,202,
471,915,070,647,797,577,915,774,977,062,275,658,432,026,147,042,946,796,463,
266,290,614,389,435,548,780,581,367,620,454,367,083,877,188,263,024,762,950,
433,395,463,122,089,569,099,021,091,081,034,731,745,877,026,964,585,585,183,
361,766,181,842,932,360,017,044,495,410,454,247,818,007,819,780,326,575,134,
875,609,829,075,588,808,745,428,987,255,860,406,809,281,433,518,052,430,794,
753,236,107,276,806,106,586,644,701,108,134,266,860,760,539,119,408,210,514,
720,488,302,558,778,684,513,660,589,218,721,217,573,956,438,595,120,857,965,
399,942,862,216,785,503,384,661,145,762,643,650,358,517,853,273,542,258,870,
661,593,561,600,790,025,192,005,671,130,124,966,478,477,419,988,323,979,737,
268,582,205,971,445,605,491,108,936,260,424,334,094,136,153,471,344,954,351,
147,524,114,590,437,061,269,850,987,033,648,918,177,812,915,727,301,937,664,
290,663,134,292,016,685,680,155,400,890,527,103,895,424,736,252,793,439,823,
185,361,765,199,390,397,403,274,313,931,916,374,411,831,676,513,995,014,266,
194,009,731,886,544,909,678,968,336,326,800,227,319,628,768,030,284,366,555,
238,962,229,305,048,508,158,131,217,886,075,042,473,725,311,992,947,476,175,
206,062,009,646,978,846,254,349,192,433,423,171,489,890,372,734,885,181,605,
612,130,539,854,931,956,511,967,115,802,807,965,480,202,587,783,223,123,643,
221,095,998,786,475,823,369,966,903,309,112,708,609,735,024,967,487,304,729,
492,493,644,502,845,322,935,918,248,683,774,368,832,689,211,460,975,903,989,
987,585,860,140,089,089,055,969,123,926,533,442,350,339,517,352,955,554,046,
673,686,348,400,533,656,692,440,587,554,792,292,091,251,172,453,107,083,995,
499,187,224,952,888,309,445,033,696,394,611,671,182,105,939,841,059,657,266,
520,600,978,227,513,299,159,679,404,141,861,849,541,312,432,505,707,139,788,
194,637,058,690,689,211,712,512,835,048,972,391,945,842,388,540,499,080,056,
592,271,208,971,902,135,066,566,228,932,669,162,225,198,864,825,306,630,228,
568,701,832,273,812,372,497,161,470,510,164,729,548,818,282,617,713,985,596,
846,736,939,360,400,873,858,986,859,676,828,639,862,870,142,411,668,515,799,
809,719,276,810,753,817,533,239,082,209,320,753,442,267,093,875,183,941,020,
407,800,807,931,160,094,349,821,099,713,354,036,810,932,128,874,930,159,369,
114,038,156,017,482,192,022,698,493,551,037,460,415,243,154,196,844,489,156,
160,065,320,614,329,261,418,841,259,917,629,118,013,511,802,220,005,510,913,
231,834,259,647,621,514,887,608,873,385,541,141,533,943,952,140,650,936,409,
515,575,546,054,239,900,969,463,450,938,301,475,031,411,761,373,564,670,689,
898,745,201,331,258,364,293,230,675,837,728,027,905,048,190,399,395,188,155,
620,998,326,647,792,142,419,822,522,374,881,260,528,748,158,693,588,242,847,
586,879,892,745,290,443,541,988,365,837,559,145,159,032,904,608,496,988,082,
626,316,589,978,944,736,584,453,345,296,871,233,195,621,753,308,860,017,617,
251,521,741,088,340,781,714,147,087,691,949,934,805,554,276,431,253,384,762,
028,232,735,793,315,743,117,462,518,945,353,483,449,959,497,050,341,029,242,
292,392,640,310,059,113,573,448,887,230,085,305,978,787,734,350,487,164,874,
737,075,572,104,713,546,358,265,240,148,430,276,979,409,344,301,728,160,766,
273,287,181,498,087,717,776,102,990,976,237,318,345,379,566,474,036,896,796,
870,853,259,653,349,393,384,103,391,495,199,289,983,640,061,398,547,747,178,
475,485,694,276,512,187,133,542,092,815,974,112,228,535,612,480,059,206,209,
720,540,300,812,136,623,505,979,577,873,136,177,884,697,346,867,089,058,002,
490,425,239,366,785,316,389,235,606,304,899,969,123,049,287,914,684,491,835,
398,717,428,161,039,186,921,541,331,602,090,720,231,851,051,214,212,743,082,
913,405,254,847,818,032,764,949,981,012,428,079,897,546,882,170,277,264,732,
027,766,271,551,878,280,171,412,573,377,416,756,844,769,353,795,643,523,782,
798,672,308,387,890,206,738,373,565,999,673,835,844,902,605,054,838,278,380,
744,134,204,359,335,749,157,940,501,301,911,241,726,690,881,335,706,574,665,
797,128,986,346,273,304,525,291,596,847,982,423,206,354,789,236,526,473,844,
060,829,108,068,210,333,744,450,935,015,977,606,206,414,931,661,919,988,334,
126,227,155,038,844,156,197,420,770,552,903,306,985,445,669,825,274,879,185,
840,732,351,976,470,191,561,451,694,576,623,204,322,571,430,008,288,944,166,
558,857,598,968,855,063,021,239,903,459,972,239,693,844,940,865,252,853,511,
698,023,558,921,676,764,652,141,310,001,781,531,311,300,173,389,938,912,491,
167,702,927,304,237,558,755,709,119,887,362,035,102,753,747,149,651,198,864,
318,020,448,769,809,971,203,215,869,132,375,463,299,323,950,877,686,526,603,
288,930,064,758,493,966,327,580,334,377,999,565,924,308,358,194,244,806,350,
537,639,522,116,108,098,391,472,017,708,466,370,024,233,162,446,603,569,610,
994,323,516,957,559,580,328,952,450,884,033,349,812,750,242,427,989,079,531,
383,109,570,954,870,505,332,700,820,079,989,431,793,758,163,619,304,090,045,
386,098,367,380,343,419,398,749,642,822,190,962,766,088,166,049,228,775,941,
422,884,281,449,632,859,588,359,511,210,339,755,444,349,227,304,305,789,269,
432,227,279,661,377,176,940,407,618,755,497,888,926,466,365,704,677,135,263,
410,581,898,261,817,111,068,876,267,133,855,071,577,362,396,501,966,478,398,
272,264,081,632,506,127,567,618,584,499,998,878,947,357,361,674,835,643,673,
108,530,876,867,699,648,065,002,158,045,628,483,383,372,216,835,274,752,054,
227,059,315,758,267,182,989,863,609,508,280,055,970,299,608,246,917,900,274,
311,461,596,970,494,597,032,854,123,438,299,601,084,969,274,631,819,793,408,
712,556,461,557,599,771,219,222,003,365,141,080,535,141,492,748,561,043,712,
346,133,602,289,535,159,202,386,450,115,788,078,841,203,510,167,298,336,227,
183,108,883,083,071,020,406,364,461,601,915,789,362,616,901,546,745,420,878,
756,695,301,251,822,147,173,553,192,216,119,449,617,529,899,178,355,151,012,
611,774,793,365,086,931,065,532,589,202,468,711,424,835,093,905,569,250,665,
179,000,184,142,757,131,721,017,210,118,013,702,765,080,733,814,928,096,028,
321,060,775,279,140,158,940,669,557,246,407,546,200,729,200,846,836,974,526,
964,655,471,145,660,849,114,103,670,451,247,378,228,458,382,347,904,737,146,
084,930,407,350,787,285,878,794,441,941,422,934,445,019,315,574,352,367,294,
624,141,482,848,669,175,497,233,162,595,161,618,892,059,146,712,458,479,597,
994,312,388,181,368,200,898,368,605,871,867,241,948,450,594,639,091,470,240,
077,583,794,537,536,870,186,963,538,037,107,884,999,424,775,292,128,307,598,
353,555,942,256,756,799,219,196,829,944,235,530,502,930,973,352,273,551,478,
559,979,398,942,667,084,271,086,405,916,615,262,119,894,778,529,030,736,206,
265,891,200,628,759,763,419,388,041,113,745,767,855,087,488,861,639,605,946,
524,984,014,080,058,991,860,084,178,742,815,911,333,932,994,789,734,288,785,
663,879,202,088,337,519,204,601,398,391,372,057,022,062,128,721,967,402,908,
877,498,580,512,822,514,724,733,135,684,313,881,933,552,332,595,409,640,795,
622,699,242,227,256,617,170,835,231,414,984,991,926,108,195,856,879,127,072,
451,482,440,656,257,475,149,545,418,106,384,336,125,642,480,768,603,950,471,
384,456,345,226,118,346,836,885,669,827,137,168,185,595,370,882,238,099,430,
373,893,364,189,818,701,740,750,150,357,226,986,064,991,087,775,427,095,476,
879,260,415,724,061,015,833,430,037,887,117,861,522,834,959,410,819,735,687,
367,184,573,096,773,589,646,732,476,203,379,122,282,526,447,092,474,458,903,
662,260,667,289,228,344,850,915,911,748,909,635,400,177,685,598,354,786,543,
327,052,072,080,141,876,081,322,672,644,588,550,571,985,810,216,572,975,043,
292,906,240,212,536,461,500,194,254,395,836,555,241,311,450,561,702,054,779,
663,641,990,798,009,816,249,394,789,544,815,053,930,163,766,407,615,276,933,
458,067,542,532,093,369,982,043,321,936,292,331,375,594,198,341,163,541,597,
693,676,580,243,656,351,224,499,229,285,434,238,305,058,690,848,653,516,053,
890,577,094,595,547,718,376,675,760,993,447,759,269,022,690,607,104,393,933,
169,345,778,354,227,583,104,198,486,458,849,191,921,214,522,140,688,769,196,
477,891,582,710,859,444,232,553,511,041,925,422,779,430,047,959,236,324,078,
084,599,823,801,640,494,578,258,955,994,757,156,492,169,110,329,103,208,242,
515,199,572,923,103,004,202,339,232,296,859,950,929,981,457,277,837,126,665,
648,061,045,344,704,300,457,847,565,460,171,323,669,002,395,941,716,936,654,
897,254,940,242,713,220,406,896,307,146,710,577,019,773,604,042,968,107,323,
849,770,944,305,171,676,453,306,992,180,490,591,941,883,491,612,101,187,138,
946,778,465,920,473,631,105,112,744,573,593,688,666,048,555,060,985,943,228,
021,035,288,406,774,113,805,273,815,335,621,270,286,045,375,186,345,373,103,
396,585,147,532,233,190,378,218,668,606,741,502,403,832,696,246,820,082,014,
622,986,499,256,481,546,750,257,862,100,377,024,059,627,085,872,699,741,716,
963,822,633,592,659,734,011,347,695,884,876,388,568,165,248,105,806,491,464,
486,643,380,493,213,099,766,554,972,454,257,670,964,429,356,403,097,324,766,
186,635,143,070,458,131,878,562,393,275,277,179,123,473,996,543,894,845,498,
860,076,839,218,380,917,946,368,705,633,840,820,366,469,847,917,086,333,789,
534,645,538,159,373,591,625,165,249,487,725,662,504,738,254,585,518,669,389,
087,649,489,759,189,405,975,249,347,957,270,854,643,905,253,781,507,816,421,
567,455,002,436,248,062,343,962,576,755,232,568,235,717,410,542,588,208,462,
291,970,526,800,100,338,248,399,956,981,688,899,301,103,510,802,818,124,252,
827,829,732,151,365,132,885,410,193,557,748,213,873,356,521,487,242,704,012,
955,002,141,143,937,973,145,208,719,756,068,058,975,859,568,032,987,272,332,
138,949,178,973,120,619,851,228,242,343,344,471,233,946,697,670,450,549,322,
700,349,225,790,533,782,671,220,374,648,125,447,459,386,590,481,917,670,054,
092,047,307,464,339,348,055,330,665,045,967,972,604,977,407,618,660,297,754,
201,761,108,825,201,890,089,522,413,209,226,230,160,298,719,561,795,392,243,
297,579,215,130,945,883,980,714,243,547,710,928,723,225,429,304,675,498,833,
100,142,386,891,449,272,439,977,443,531,996,558,068,922,492,916,927,151,150,
400,601,353,967,815,226,223,744,553,045,389,764,049,544,734,351,356,320,547,
586,036,094,357,741,341,988,577,933,077,650,532,062,250,488,512,667,907,468,
834,124,698,318,169,908,153,141,719,066,620,502,152,734,642,777,854,607,660,
322,758,063,675,992,878,550,674,805,446,784,381,141,565,987,670,954,507,662,
377,821,346,339,663,957,417,048,085,848,530,167,115,456,997,474,249,812,927,
876,584,688,733,618,137,593,717,065,304,905,454,498,424,823,106,237,142,087,
979,780,022,480,331,239,421,062,995,715,366,522,957,204,434,115,141,818,753,
955,617,654,765,275,814,732,377,754,125,806,440,680,587,813,399,265,754,725,
431,299,943,598,571,187,333,296,778,729,706,260,550,664,493,631,339,719,263,
351,822,494,785,633,717,160,677,166,161,088,279,402,005,812,242,674,574,036,
133,438,989,608,996,224,046,009,602,174,986,395,145,984,249,400,048,970,127,
486,155,288,079,201,617,068,953,235,634,012,162,972,949,216,070,738,979,216,
918,084,434,497,421,600,611,125,124,586,395,461,247,448,116,539,470,709,316,
654,438,629,229,318,783,399,367,562,405,645,632,271,837,674,204,378,720,416,
390,489,287,245,447,955,011,706,606,875,598,919,521,604,542,166,360,855,667,
547,863,470,983,043,440,964,105,639,705,580,315,711,918,110,319,140,056,002,
763,233,971,429,284,611,563,803,400,570,280,307,306,731,161,871,995,864,114,
868,261,487,623,918,465,123,056,661,093,557,821,140,285,855,622,060,780,957,
013,216,052,705,687,368,990,383,679,002,240,726,512,380,044,402,902,262,591,
821,878,343,602,763,980,463,450,927,594,601,839,014,820,299,280,968,016,166,
584,391,131,885,360,537,870,429,745,560,654,790,799,356,451,404,340,447,560,
396,639,290,946,926,026,015,720,449,169,949,682,025,124,261,996,207,323,289,
660,938,246,114,303,192,249,499,786,610,020,547,205,178,586,875,946,651,321,
129,205,275,937,301,767,309,894,630,349,052,201,527,923,897,521,926,369,925,
032,789,614,680,558,213,900,877,305,764,338,093,006,852,308,392,140,204,428,
135,111,957,530,269,155,410,027,413,167,282,879,054,925,577,576,653,707,147,
630,966,845,199,418,346,017,011,107,281,658,858,812,118,727,786,401,918,956,
619,345,810,609,074,673,060,254,247,617,778,364,723,325,455,391,787,844,953,
119,329,315,712,792,960,691,072,877,472,675,508,123,222,066,623,705,736,575,
681,796,443,859,597,419,725,894,853,104,038,679,224,321,503,996,266,249,082,
670,032,905,651,254,036,969,134,414,104,668,021,951,521,318,133,028,447,142,
581,562,323,343,066,149,739,342,860,027,249,228,437,721,933,559,757,683,499,
025,734,561,862,518,465,967,925,564,685,759,444,408,853,523,916,183,588,829,
803,350,038,651,887,661,934,029,127,832,680,681,227,715,891,255,303,550,114,
450,256,945,087,368,347,768,752,000,177,983,326,485,750,432,887,998,186,253,
285,733,280,500,449,776,328,365,895,460,529,437,797,256,155,152,039,365,925,
958,668,115,782,998,078,597,374,144,996,848,714,551,526,408,880,098,971,891,
644,525,475,042,115,275,285,958,362,297,129,132,556,994,348,582,214,047,866,
695,253,389,033,859,267,480,717,781,921,003,371,851,146,789,743,307,018,733,
317,244,016,724,042,579,833,101,107,216,476,644,384,486,331,572,167,006,369,
749,785,781,576,389,225,356,387,348,504,307,425,212,134,208,642,304,161,175,
024,349,816,237,040,722,842,368,581,472,759,392,102,257,133,056,375,120,383,
805,538,758,441,925,785,873,647,650,328,189,251,411,284,173,603,583,379,397,
824,231,554,588,011,908,932,440,669,769,121,099,182,009,574,543,697,690,548,
088,994,298,055,931,651,165,039,519,583,953,659,149,159,275,411,767,424,578,
913,784,125,945,741,755,520,520,676,018,605,558,316,099,450,732,858,701,653,
660,829,861,085,598,690,536,876,348,267,024,318,985,604,287,018,740,897,491,
607,924,272,681,567,027,901,773,832,617,096,494,118,209,976,424,726,851,565,
875,071,490,062,254,351,116,990,839,689,086,485,035,585,054,795,662,432,071,
629,228,435,315,700,736,105,173,429,376,265,877,864,483,034,877,178,279,591,
872,986,996,598,047,071,509,944,881,886,925,330,543,855,212,759,939,903,752,
576,485,054,922,618,455,580,134,645,234,711,248,430,175,136,025,654,605,503,
707,322,092,528,058,813,967,443,638,942,426,107,361,447,912,626,845,655,497,
273,307,328,784,888,811,558,997,371,828,844,838,219,924,048,277,214,663,416,
625,605,345,432,491,024,198,665,059,723,407,729,134,835,295,189,621,610,005,
614,963,496,025,973,187,337,014,651,880,738,092,678,311,643,707,601,788,575,
951,917,411,114,053,423,930,157,330,480,380,315,053,437,897,389,808,958,394,
076,483,830,653,315,010,344,969,638,532,581,710,170,780,585,928,105,724,602,
265,531,468,800,411,132,913,194,542,786,117,755,134,073,083,510,520,585,088,
633,781,532,518,444,898,497,236,156,517,818,633,141,751,478,386,304,561,343,
974,649,365,584,706,516,903,526,255,793,465,244,253,281,997,762,765,005,864,
808,647,832,720,941,198,098,171,171,036,972,356,777,193,028,990,087,863,814,
348,341,248,556,021,393,528,848,514,799,586,806,139,603,514,363,735,735,224,
903,368,150,919,077,123,374,400,319,320,764,989,224,357,061,209,149,352,103,
863,322,693,327,119,580,554,114,286,398,306,675,540,251,371,312,247,585,927,
676,875,390,111,756,656,817,914,108,450,251,756,764,785,670,427,972,351,726,
152,741,144,955,828,878,309,570,937,764,462,005,655,884,458,696,288,676,110,
142,662,068,534,620,085,446,587,844,190,780,372,216,413,167,153,689,077,532,
319,955,646,896,603,219,183,027,910,044,506,258,376,976,574,423,192,953,385,
407,564,596,822,514,890,670,907,179,039,025,798,872,941,465,750,766,744,599,
008,865,143,029,093,167,686,640,794,509,232,069,188,612,503,379,749,657,800,
023,014,184,377,753,214,803,521,958,811,063,769,452,691,108,183,014,711,560,
345,152,466,722,856,118,550,501,955,407,659,235,908,651,162,051,590,177,576,
093,977,646,926,096,131,602,365,077,383,297,937,541,077,689,679,765,734,384,
208,879,036,050,988,534,825,018,981,415,998,046,790,931,690,545,589,326,841,
447,223,126,985,622,228,614,566,456,128,474,183,391,586,928,782,127,855,549,
127,160,246,391,693,101,895,079,115,097,345,925,252,552,035,184,823,192,487,
882,089,309,984,866,035,833,040,428,785,737,865,529,611,822,571,324,583,998,
320,861,365,705,927,618,055,371,912,779,068,875,930,297,722,736,721,289,438,
726,013,427,936,859,691,825,198,046,884,081,319,088,642,554,423,062,846,105,
372,646,059,377,013,009,739,716,648,342,419,670,206,428,261,229,907,714,900,
529,633,083,056,043,105,781,282,113,271,108,143,570,636,557,306,688,066,210,
707,445,815,703,371,441,529,413,788,324,912,879,936,813,396,688,327,863,145,
576,673,135,891,451,271,221,208,397,313,903,698,741,343,061,765,800,165,672,
097,995,913,636,593,251,064,744,422,048,250,449,958,399,068,315,924,386,838,
476,220,561,861,595,396,437,568,489,809,892,061,027,723,277,063,460,730,151,
834,987,781,522,914,704,117,278,602,755,226,563,003,505,651,297,414,397,012,
140,103,028,943,752,242,887,218,642,148,925,165,387,631,622,691,732,858,589,
551,576,952,798,443,718,468,268,681,782,929,058,143,732,110,320,897,920,171,
725,069,209,396,671,240,298,050,116,312,235,972,733,903,239,082,349,320,349,
878,437,996,475,520,642,928,478,211,952,477,207,293,466,379,558,780,955,988,
984,419,927,458,790,815,616,811,122,796,955,886,469,790,474,327,586,920,836,
103,872,488,921,136,921,086,786,991,127,938,901,184,107,685,375,441,187,186,
085,101,632,487,523,519,056,721,894,369,693,063,365,495,703,720,001,901,434,
446,333,235,965,527,502,276,024,428,551,836,206,791,388,606,640,841,746,072,
252,512,837,989,076,754,664,143,249,360,711,595,647,406,556,618,176,372,072,
286,794,167,409,896,433,499,834,018,648,948,359,976,032,834,197,244,777,029,
458,772,771,261,237,688,210,034,482,829,963,960,741,621,212,903,650,592,269,
240,052,981,625,072,187,066,882,919,166,759,685,337,819,863,274,349,427,635,
429,430,712,904,314,222,298,641,797,460,986,511,848,646,346,521,208,090,857,
902,903,338,997,243,981,842,495,435,993,243,515,741,404,230,807,941,255,774,
537,211,360,372,623,448,352,021,264,982,071,018,593,281,332,279,925,125,706,
926,954,660,114,871,952,056,315,404,606,283,913,657,187,483,772,220,447,254,
655,702,376,583,716,166,706,781,612,555,132,849,434,111,203,039,898,468,757,
878,136,336,428,293,827,507,391,364,339,141,710,789,095,269,171,891,944,170,
629,252,702,293,419,424,497,584,584,336,080,566,580,919,839,340,006,812,186,
613,232,130,604,228,175,029,594,666,726,699,830,381,105,679,221,261,224,007,
042,982,213,401,135,985,105,804,900,836,613,153,666,156,918,623,500,205,315,
148,721,496,029,801,524,059,580,202,161,296,430,486,029,528,871,819,745,456,
120,292,422,127,604,672,714,287,710,486,301,894,854,263,863,504,534,200,741,
982,108,982,625,705,332,653,911,247,292,531,351,966,656,596,522,535,634,333,
560,730,831,740,144,752,556,640,567,449,162,769,646,805,409,688,505,688,434,
822,535,604,226,060,323,043,528,491,515,742,640,821,308,787,937,475,155,024,
070,067,399,788,539,472,307,737,912,149,208,653,641,987,088,321,441,915,862,
367,535,479,863,588,166,651,157,655,665,697,818,321,820,723,418,556,845,755,
327,654,020,146,162,670,855,599,184,095,682,759,034,992,654,162,864,001,212,
800,479,183,561,220,581,204,922,361,039,836,701,212,508,838,534,128,672,680,
282,673,767,595,146,335,095,459,706,680,110,661,008,660,787,310,689,207,770,
240,575,183,082,846,538,569,416,950,876,318,036,491,269,468,498,809,198,518,
993,231,437,495,520,287,879,817,746,412,015,091,315,885,414,690,305,726,678,
169,537,255,144,441,242,285,324,176,472,984,852,352,073,010,116,858,766,502,
797,558,541,849,733,097,858,578,195,986,653,238,033,797,753,376,338,721,179,
367,064,494,939,483,590,467,071,543,077,073,160,789,890,440,612,685,707,528,
122,729,100,325,448,546,183,457,141,624,290,895,562,415,188,569,888,779,236,
181,752,551,071,711,717,007,918,155,811,371,844,189,968,161,700,145,916,820,
202,509,986,010,303,346,399,981,006,837,619,887,869,641,115,489,615,639,698,
257,291,737,783,436,971,781,541,356,177,500,815,719,253,702,018,565,992,534,
754,124,316,451,954,687,832,121,318,637,446,906,048,402,174,355,211,034,803,
192,168,464,159,610,937,487,477,585,629,250,732,085,452,823,668,426,947,359,
669,555,259,862,941,349,644,420,829,194,704,495,976,322,566,555,846,085,095,
388,866,046,971,435,623,041,297,790,274,235,607,698,492,995,982,343,451,930,
348,151,391,576,748,001,508,288,086,768,507,138,439,817,240,192,886,076,371,
728,913,648,251,379,224,536,879,290,071,080,500,163,588,842,563,793,076,611,
644,763,057,746,546,283,950,595,788,252,656,612,809,689,459,920,289,352,383,
894,436,784,705,409,015,796,573,655,059,600,939,547,288,770,953,729,803,987,
037,964,704,723,159,527,985,487,754,893,359,037,174,720,619,180,815,392,194,
130,189,433,090,768,081,217,250,453,738,937,112,592,083,575,797,570,047,859,
642,686,984,636,104,825,480,385,056,025,703,313,588,265,084,020,830,478,849,
004,209,369,429,547,605,136,904,384,905,473,248,165,171,644,350,860,253,975,
110,039,032,933,240,645,106,205,958,942,537,915,940,094,619,690,221,329,401,
833,377,500,632,204,243,657,510,002,227,902,187,377,686,009,440,173,684,014,
168,078,580,706,495,352,593,636,817,713,955,763,988,289,179,104,077,422,122,
477,766,858,473,251,711,502,103,254,190,716,181,219,596,859,261,622,789,662,
511,332,601,804,625,825,892,819,277,095,135,627,534,050,616,417,720,517,237,
696,406,343,400,587,315,671,288,224,672,520,282,677,829,982,063,769,278,443,
774,325,930,148,421,050,322,923,166,244,017,582,990,191,416,034,885,922,542,
225,088,571,952,922,864,159,273,109,983,631,142,602,240,128,195,350,332,846,
381,211,931,918,589,963,291,829,270,060,225,577,065,572,918,706,298,510,147,
818,781,863,863,148,240,801,917,761,064,983,611,896,689,429,822,197,540,697,
998,835,912,453,338,031,006,903,183,830,489,907,715,639,846,203,690,314,150,
745,033,747,793,960,892,174,223,400,501,465,723,420,149,592,532,471,285,529,
982,917,273,185,104,360,256,783,012,560,123,705,646,943,944,518,108,736,925,
584,233,507,216,336,739,662,710,766,491,947,115,984,091,584,526,491,278,929,
695,939,937,301,338,721,699,255,431,453,418,226,009,535,245,232,739,450,070,
328,506,840,400,162,954,865,319,024,283,135,368,317,384,467,248,657,253,811,
765,675,640,727,110,198,332,086,848,987,435,689,970,730,370,456,274,926,895,
792,954,579,388,974,386,297,121,367,974,423,133,086,013,161,220,256,535,968,
337,107,139,588,304,272,004,959,440,939,632,508,855,240,056,272,977,996,514,
901,520,907,904,251,696,035,650,528,392,651,449,581,660,018,904,233,042,612,
315,858,650,169,574,507,082,828,136,140,110,526,057,994,905,591,066,337,800,
152,723,386,874,293,170,957,358,480,035,808,370,556,720,361,869,732,830,931,
324,159,083,335,448,854,160,094,197,225,201,811,426,372,912,612,425,191,015,
351,459,970,006,822,257,122,116,378,595,353,038,796,916,077,199,169,551,624,
074,904,530,908,179,040,188,467,689,523,793,968,546,797,931,328,571,200,947,
119,250,063,470,431,682,433,090,311,938,996,653,848,264,568,075,560,931,049,
010,105,373,743,133,356,373,238,077,131,573,752,293,877,533,053,621,234,741,
255,553,193,813,986,096,763,144,331,906,583,891,320,376,473,048,941,528,822,
520,643,490,774,299,029,697,735,197,505,147,269,064,076,759,222,992,602,473,
859,300,052,513,939,055,565,683,843,571,477,902,473,720,503,075,250,874,894,
703,906,980,749,738,436,058,502,266,990,431,485,539,109,393,527,654,129,892,
847,941,709,828,301,690,688,298,227,491,043,629,661,337,492,835,570,785,790,
391,353,242,328,326,071,528,943,805,315,302,913,774,835,565,492,464,670,674,
798,145,062,280,393,262,297,486,479,158,315,389,563,716,198,865,662,217,240,
894,278,648,513,161,264,181,386,693,018,675,333,081,289,154,944,423,865,290,
472,006,388,870,935,156,340,904,990,227,615,588,135,082,486,935,271,924,354,
191,346,930,987,788,210,251,939,568,925,851,102,077,534,488,244,449,052,256,
130,802,203,212,767,226,732,171,823,005,651,852,934,656,322,346,870,854,624,
193,660,475,360,740,641,372,764,404,703,398,048,047,290,466,016,048,185,493,
433,199,057,996,006,010,010,881,456,874,519,677,086,849,864,379,180,668,364,
245,507,164,037,634,369,616,582,039,526,989,646,787,079,845,150,620,242,804,
203,864,342,529,679,331,120,566,095,590,937,270,706,022,540,548,083,800,285,
855,061,441,837,218,886,655,321,720,930,898,745,487,811,388,281,677,418,271,
926,595,547,909,235,394,293,808,464,787,953,395,122,024,352,976,641,492,949,
322,658,296,078,811,675,368,165,918,920,670,475,553,879,817,262,031,770,875,
130,179,866,944,018,785,545,290,600,761,877,538,607,436,974,743,633,002,730,
090,696,423,102,114,502,426,996,423,278,625,948,679,063,864,605,871,447,772,
926,711,743,605,362,005,255,862,889,432,766,415,100,403,228,023,188,288,813,
751,177,498,997,344,537,450,643,401,994,793,577,567,986,567,384,950,248,523,
628,373,750,838,395,648,182,377,444,732,701,815,511,533,470,918,054,148,779,
593,099,049,450,318,264,929,082,659,236,892,348,473,565,655,426,234,815,098,
744,968,534,374,244,549,172,466,818,956,528,096,133,498,614,518,770,022,608,
516,516,714,137,877,249,252,630,420,483,262,220,402,162,187,314,647,115,551,
187,193,369,580,205,886,716,126,236,736,408,729,221,516,329,263,774,863,817,
193,853,662,233,415,368,039,999,193,458,351,418,923,749,911,810,461,705,902,
242,047,582,930,813,541,489,341,720,321,108,977,814,985,665,858,919,604,297,
188,530,253,991,678,265,760,608,015,187,028,878,258,930,363,556,340,813,591,
720,141,346,203,476,488,845,218,433,349,452,408,655,531,736,114,945,430,822,
771,780,912,379,780,238,604,223,521,691,484,888,344,613,355,985,862,734,918,
650,525,139,110,747,166,131,377,929,566,319,236,901,234,490,874,582,605,646,
264,326,773,389,254,162,484,414,668,645,017,193,421,911,982,831,498,613,754,
582,254,996,232,677,234,033,933,259,601,510,449,929,849,266,603,805,303,421,
136,221,076,687,663,689,235,015,586,190,935,714,424,221,990,452,000,490,642,
753,880,742,896,311,064,051,130,043,789,862,282,709,931,039,013,591,915,019,
354,954,989,342,295,486,199,135,673,087,767,510,870,387,312,756,550,526,390,
217,307,671,691,966,826,918,572,660,218,618,630,188,606,220,002,903,930,704,
084,991,252,694,180,695,502,030,530,880,115,661,293,986,841,631,962,455,209,
653,931,751,209,561,075,449,786,879,887,737,930,949,625,380,475,123,491,527,
515,094,550,792,458,427,012,799,674,286,043,403,693,826,755,696,344,573,488,
354,730,956,848,494,781,099,260,451,650,200,998,972,715,263,967,514,056,806,
793,156,722,864,843,778,279,170,917,392,788,560,209,230,008,818,459,015,586,
629,292,228,155,476,879,408,492,200,528,204,519,408,644,318,301,896,023,140,
385,079,756,896,374,452,061,578,325,272,194,296,991,042,570,854,254,231,433,
375,264,778,752,701,572,782,967,109,225,069,511,314,822,520,301,342,371,238,
902,131,200,149,627,524,060,401,817,402,885,494,024,896,143,622,889,737,108,
654,758,636,645,289,910,630,015,290,626,507,160,907,712,560,868,617,482,165,
060,707,127,263,751,620,787,471,293,925,825,743,320,179,753,592,290,490,978,
672,930,917,561,901,006,398,692,902,316,032,539,601,046,622,097,092,610,794,
229,535,382,906,044,936,149,396,295,730,506,461,108,223,070,512,628,794,563,
795,442,566,988,294,073,638,999,060,804,240,372,271,666,903,551,254,274,024,
593,409,706,738,078,745,302,179,617,977,685,486,866,359,406,505,648,677,283,
621,334,171,028,296,550,281,916,849,199,774,866,131,592,068,275,089,668,341,
270,851,022,308,432,110,466,686,678,810,107,383,284,517,784,752,730,717,553,
820,040,694,981,574,583,070,263,844,724,537,042,427,193,779,054,234,456,926,
871,872,228,614,029,627,492,919,597,820,612,825,914,894,293,585,491,800,301,
188,639,309,552,610,993,635,008,645,542,620,833,721,794,381,377,794,010,068,
968,247,868,882,951,351,917,614,232,765,725,635,534,472,481,659,123,047,001,
564,254,669,136,012,478,645,359,106,309,426,024,695,302,529,135,418,000,541,
134,859,584,160,472,307,969,354,832,569,327,547,783,605,639,596,719,430,332,
842,210,162,693,927,743,198,211,234,011,069,607,464,543,694,428,665,814,116,
465,530,069,486,887,634,841,477,939,654,262,526,131,170,410,922,490,631,108,
574,964,244,162,944,872,267,784,459,810,681,170,666,369,786,639,726,771,206,
305,483,441,246,618,736,275,910,692,349,759,362,801,951,030,557,209,314,796,
048,559,793,129,770,364,217,554,097,077,909,007,043,565,306,937,911,380,606,
303,702,553,296,494,199,915,444,769,252,186,525,484,156,541,587,240,245,811,
380,387,476,071,797,128,998,594,994,800,937,244,148,927,637,306,561,194,549,
800,978,964,139,413,057,148,075,732,046,741,321,283,501,692,470,438,327,478,
091,471,497,779,632,219,994,798,663,292,760,287,967,649,571,396,541,246,221,
944,757,060,750,951,143,450,500,776,829,321,268,362,326,149,420,284,726,647,
603,732,049,380,158,577,133,270,767,160,786,147,130,968,697,047,833,976,788,
604,166,038,317,142,105,221,116,014,408,598,546,623,593,015,018,266,444,562,
195,009,805,773,953,169,716,903,076,169,338,816,531,668,758,140,665,642,136,
079,010,378,516,686,449,329,750,921,482,474,355,444,781,427,547,561,763,559,
824,479,121,461,990,276,685,954,844,948,265,693,961,505,825,312,311,386,323,
408,298,831,326,411,014,212,498,585,101,973,855,703,580,511,502,418,637,533,
529,818,425,879,104,882,509,298,208,312,359,105,567,925,910,346,645,710,082,
035,778,265,582,198,108,936,748,610,835,294,170,547,253,481,521,450,892,260,
710,240,210,717,987,693,009,429,075,490,829,078,668,559,898,426,212,113,288,
725,311,532,618,060,080,126,476,118,865,178,778,407,717,867,410,676,852,167,
551,668,214,099,205,624,093,007,834,766,450,404,228,408,633,919,721,967,086,
900,437,970,112,870,803,065,240,080,472,037,059,580,653,299,724,512,417,483,
892,980,030,544,825,953,324,903,781,363,719,653,297,645,619,063,184,960,714,
731,794,680,659,501,729,198,293,550,614,488,443,106,041,145,598,202,037,883,
650,680,762,792,787,365,722,161,150,845,974,766,602,790,482,635,899,366,243,
716,061,149,370,116,752,784,215,745,095,558,004,671,925,594,579,084,083,382,
091,253,847,523,188,635,166,745,174,063,588,152,337,911,090,508,411,683,439,
790,610,371,337,842,287,847,100,948,744,150,898,714,661,517,765,682,569,969,
251,552,427,008,558,799,358,661,373,743,930,198,439,230,872,020,302,261,347,
146,982,108,224,376,055,051,741,380,536,359,216,333,088,596,050,189,341,115,
695,174,266,294,242,431,295,172,759,339,759,097,875,505,878,179,113,475,209,
034,065,506,692,517,344,243,400,359,320,295,927,459,866,609,622,602,313,789,
707,815,577,000,666,739,235,953,287,440,077,402,305,223,249,055,706,320,446,
876,857,337,237,593,371,539,071,613,767,105,120,457,328,343,548,670,472,890,
600,166,546,314,391,515,845,964,447,958,463,382,902,386,915,102,469,899,580,
328,153,230,209,378,856,434,926,014,101,029,964,458,481,912,142,318,462,422,
580,742,997,541,898,175,417,390,675,346,760,671,323,526,601,012,031,986,257,
458,186,814,164,912,133,640,708,911,739,264,687,056,143,274,236,483,020,469,
368,698,799,092,250,039,148,056,408,584,833,412,980,434,843,923,245,740,431,
514,112,757,017,042,622,637,253,243,754,340,608,601,153,883,345,351,898,784,
674,486,525,440,768,378,246,430,151,600,574,765,164,081,060,128,522,104,680,
509,873,206,977,796,261,147,756,735,412,455,002,755,104,939,696,181,328,630,
471,938,296,354,108,443,558,112,812,957,204,067,989,423,931,738,032,196,155,
169,764,420,718,401,839,551,390,932,613,090,462,838,141,317,848,471,558,653,
721,167,219,927,166,740,258,888,496,770,790,549,501,500,770,025,528,305,399,
245,917,556,632,547,253,558,925,712,112,884,490,074,021,853,213,920,949,381,
453,664,064,938,833,009,990,278,519,822,367,268,124,243,279,260,090,094,473,
018,278,624,354,572,374,467,245,210,265,154,308,948,739,936,627,957,708,248,
762,529,479,550,958,717,880,867,193,074,826,372,075,479,808,885,306,463,400,
343,108,530,002,674,278,039,454,352,890,295,811,775,528,890,423,697,472,854,
242,411,636,154,514,700,864,300,074,006,146,527,876,460,082,815,301,539,170,
796,965,201,395,053,848,448,267,606,235,283,442,099,692,470,331,553,688,614,
549,242,009,989,607,354,517,395,465,884,577,475,547,677,281,180,871,528,086,
687,653,451,469,312,508,011,181,108,188,594,587,609,681,370,338,542,270,714,
909,333,605,513,609,391,470,354,625,329,311,968,912,501,650,225,926,454,320,
521,655,648,689,484,242,548,933,534,078,821,268,795,438,142,309,808,331,259,
652,524,451,935,753,821,127,627,014,103,948,150,874,832,563,054,856,683,147,
725,269,470,076,299,807,415,162,169,505,401,135,866,785,395,084,368,252,804,
373,876,663,839,244,508,696,196,093,607,713,911,954,679,341,773,849,974,998,
109,815,797,078,431,392,662,657,070,653,179,597,719,969,963,941,496,498,633,
861,936,534,896,187,290,575,845,975,392,730,268,407,206,459,047,837,959,710,
649,351,086,782,109,510,342,091,545,636,678,569,805,945,200,338,404,328,921,
174,452,018,136,930,282,635,170,464,211,655,321,352,360,025,591,744,314,103,
084,994,721,952,373,360,911,555,219,999,222,525,963,588,342,855,526,108,060,
951,921,793,858,464,440,389,489,571,553,731,237,208,279,456,423,916,893,795,
459,721,361,669,949,699,883,110,839,796,554,625,826,552,126,784,384,811,703,
184,260,828,602,699,826,897,371,286,606,028,957,335,878,702,551,892,392,145,
681,770,221,452,251,527,787,360,729,824,678,613,753,887,656,671,829,834,905,
333,991,815,838,835,931,799,070,744,950,961,487,457,628,908,141,376,840,964,
063,803,033,576,530,794,225,283,159,391,339,533,327,219,991,321,036,795,076,
993,899,598,804,700,296,064,939,453,269,624,334,888,312,186,062,084,218,903,
440,534,706,482,974,711,549,947,286,887,282,054,343,729,480,563,695,729,585,
235,776,018,797,172,748,241,497,226,110,984,887,498,329,141,957,497,961,365,
287,848,333,988,515,362,822,038,962,612,939,760,642,213,049,219,359,307,179,
029,998,904,085,437,384,628,932,133,862,505,740,658,349,628,059,301,117,837,
809,742,836,067,229,243,541,570,402,575,395,319,770,584,148,403,879,222,120,
280,050,578,564,467,674,543,178,529,140,305,917,894,757,509,122,518,109,421,
717,498,089,977,391,637,606,867,895,070,150,978,826,993,640,441,898,280,123,
809,270,409,792,583,522,822,038,740,521,900,779,551,314,101,436,284,665,333,
006,720,273,190,286,148,018,923,953,247,848,478,089,475,421,633,491,629,971,
044,036,598,099,077,651,592,278,583,225,203,151,729,111,163,953,584,474,182,
921,371,568,745,786,556,906,969,200,581,642,290,315,184,472,678,500,492,132,
447,062,881,072,151,235,305,679,776,627,577,115,866,612,673,170,986,284,332,
665,121,562,686,604,689,869,883,063,561,031,979,147,449,000,042,999,325,109,
856,396,728,681,068,403,882,519,387,101,099,373,520,040,005,549,411,008,416,
548,028,972,164,538,040,016,028,612,120,338,926,541,372,557,710,909,579,443,
314,496,677,988,161,823,711,611,660,365,302,664,462,494,137,739,902,710,468,
332,635,921,040,626,549,526,672,291,879,423,183,256,654,647,343,730,331,085,
087,131,632,946,864,432,390,646,569,553,925,808,868,514,430,281,849,090,051,
931,153,713,595,763,921,116,430,660,937,959,008,332,086,958,243,244,927,670,
908,995,546,418,034,053,395,837,682,335,991,303,717,771,003,683,083,624,125,
621,239,120,255,147,726,554,352,756,864,682,110,764,414,790,688,789,521,055,
860,562,455,111,021,260,548,985,912,508,583,584,122,211,840,881,882,734,306,
379,632,959,211,301,300,987,701,997,519,225,454,987,884,896,771,909,375,567,
921,900,890,717,896,105,422,092,440,956,381,208,012,887,905,534,422,327,712,
298,332,782,521,946,037,424,069,259,601,460,291,603,773,525,933,895,239,794,
323,298,861,640,755,496,764,567,431,387,150,348,656,317,705,950,130,350,185,
249,472,577,245,997,643,680,806,248,434,553,781,240,804,321,934,469,264,228,
550,044,869,139,161,013,464,897,818,557,661,565,158,802,850,657,856,733,443,
724,040,637,406,895,799,943,603,915,055,816,746,551,643,323,469,351,378,289,
993,052,196,505,196,645,422,782,826,242,434,313,254,552,629,953,697,919,219,
188,484,940,501,938,119,875,722,083,504,762,998,112,946,752,140,392,492,041,
832,462,938,067,217,834,418,454,986,673,473,305,824,954,711,580,857,965,329,
897,497,466,469,807,067,379,018,021,910,706,828,993,566,464,878,114,536,742,
583,063,650,881,176,746,480,563,510,635,687,500,043,758,484,459,005,109,269,
865,697,293,875,000,932,701,633,862,098,146,431,622,546,738,791,226,122,985,
476,234,165,018,414,938,212,741,865,110,770,677,279,456,786,552,105,268,543,
239,790,491,286,798,138,751,134,398,774,203,584,024,669,685,790,370,042,090,
573,108,883,481,257,240,309,365,079,478,495,549,365,303,243,347,086,562,523,
271,968,055,188,276,028,268,985,695,870,925,071,005,447,255,663,521,114,061,
323,161,950,916,393,788,777,054,603,243,254,789,649,048,720,011,279,162,413,
945,404,543,990,373,104,447,401,062,706,989,142,266,673,205,850,657,135,665,
537,424,184,955,170,214,975,895,673,701,158,760,554,285,797,812,421,717,352,
090,944,744,106,192,160,084,643,439,066,746,085,109,269,718,096,609,813,976,
560,484,081,631,517,511,563,315,400,017,075,594,037,064,972,849,700,154,846,
638,380,320,789,096,649,906,413,826,823,159,112,213,344,838,519,011,052,777,
599,797,163,515,014,714,944,535,765,300,785,177,768,121,660,956,403,633,492,
159,568,263,232,846,714,896,181,570,282,377,676,914,993,943,138,294,386,504,
326,520,201,383,185,436,306,209,853,743,298,543,773,506,451,184,378,029,054,
524,639,083,894,750,820,030,637,879,403,565,172,460,853,419,858,196,761,401,
552,524,134,958,163,399,728,713,681,003,073,129,888,851,483,111,175,738,480,
476,055,340,741,813,655,006,607,259,916,830,185,146,535,629,550,872,624,447,
767,711,110,836,804,397,682,229,595,441,763,143,671,298,159,485,284,702,465,
780,500,212,970,480,049,650,853,929,853,397,686,532,205,840,880,439,580,568,
500,517,770,024,066,326,385,076,434,121,165,798,505,630,444,177,022,363,858,
632,170,922,957,507,514,851,978,120,471,917,794,734,002,428,773,121,721,581,
166,817,199,943,287,964,350,306,668,420,373,605,834,045,212,021,807,017,482,
370,265,129,429,853,435,797,464,748,968,945,853,830,967,901,022,510,172,862,
894,380,349,541,526,913,911,393,836,933,095,015,703,292,175,226,578,518,100,
838,955,568,241,852,125,477,703,247,065,741,047,821,104,143,005,979,187,072,
244,027,651,765,566,960,058,185,155,441,640,424,326,971,668,852,244,256,664,
426,846,624,380,688,309,972,633,136,466,725,021,012,783,590,502,211,799,139,
782,771,850,958,163,311,759,017,436,591,634,169,115,401,438,576,575,343,637,
054,625,356,375,689,071,951,100,464,550,324,556,228,586,621,405,716,578,473,
515,365,664,152,565,888,031,562,711,509,133,380,468,311,653,153,970,203,636,
180,149,292,067,143,591,211,715,919,311,454,871,457,687,916,053,346,003,767,
656,634,248,084,386,924,846,525,540,331,302,955,694,672,640,585,474,419,521,
038,642,951,901,615,158,614,182,347,100,345,716,068,491,645,891,768,238,218,
405,323,810,168,254,586,010,725,365,153,392,021,312,675,231,792,864,743,582,
546,234,632,334,986,447,063,280,427,807,824,561,856,663,644,659,499,915,887,
518,770,754,266,583,606,233,484,155,566,902,040,432,555,939,410,913,513,664,
056,498,801,342,540,970,136,198,167,439,189,905,402,023,080,131,015,250,078,
774,430,569,954,523,862,493,184,256,811,694,536,202,573,952,608,151,984,161,
512,064,294,886,053,966,749,891,368,629,885,737,977,744,584,817,987,702,833,
758,370,294,423,248,098,866,579,525,188,288,491,147,089,325,225,327,688,461,
741,379,479,134,575,665,093,205,588,249,919,067,935,892,862,632,789,135,388,
634,561,723,048,790,282,123,051,076,110,059,640,635,831,081,460,965,929,588,
715,493,200,110,074,640,394,717,014,192,012,809,639,665,346,540,740,640,534,
273,898,739,426,263,675,053,314,769,950,496,165,640,241,801,935,288,235,532,
749,056,613,862,248,653,735,483,741,522,671,672,377,649,555,156,110,825,567,
132,669,840,316,637,543,491,587,191,442,859,219,904,548,800,395,913,735,675,
798,603,074,429,715,066,763,018,858,943,831,715,600,251,329,384,251,117,118,
797,330,677,057,644,933,165,020,156,214,632,111,703,695,061,042,854,137,513,
068,042,508,227,799,145,449,469,984,346,829,598,035,296,378,987,556,472,273,
492,885,691,434,277,392,970,197,858,495,422,829,054,398,347,879,200,895,541,
084,377,118,467,057,439,979,383,181,828,551,187,114,895,002,848,078,981,704,
844,089,056,381,970,699,554,104,957,294,278,821,939,591,999,807,117,533,776,
000,736,730,371,642,970,909,965,852,560,448,382,200,620,043,583,768,690,885,
995,162,708,790,823,467,944,046,119,035,724,812,172,032,600,100,906,683,642,
591,186,760,212,081,692,490,544,302,295,074,583,620,167,958,845,426,478,116,
466,950,163,460,281,914,553,178,150,696,683,415,753,515,862,008,140,092,119,
768,973,484,538,018,029,892,847,175,959,017,216,930,839,457,032,804,195,963,
951,741,895,077,911,806,949,939,074,823,045,236,419,479,270,653,759,507,503,
911,640,333,453,253,886,331,636,241,523,468,565,306,133,720,100,324,045,099,
706,448,026,731,011,071,834,719,230,575,449,126,347,676,111,540,451,391,739,
288,130,143,488,335,337,798,726,811,764,643,329,388,451,268,624,594,948,395,
928,869,416,861,385,410,713,970,064,227,636,181,291,216,714,250,342,649,858,
680,632,434,449,995,941,141,530,238,962,595,372,748,086,046,908,664,704,514,
774,344,430,364,795,660,713,847,123,460,013,334,408,920,280,688,692,710,337,
559,874,612,444,528,199,658,301,719,822,927,194,901,467,177,780,617,735,702,
064,204,566,764,048,581,358,346,249,959,157,831,333,395,209,844,055,205,401,
154,695,187,620,563,536,822,113,442,211,279,909,958,742,503,140,313,230,386,
929,688,753,125,191,034,642,933,937,031,873,071,788,626,994,266,632,279,536,
125,618,510,670,592,427,915,094,086,640,341,727,919,667,970,728,862,813,152,
784,545,231,193,769,316,685,799,818,823,974,932,201,273,355,603,239,062,352,
293,747,763,788,092,072,598,625,040,256,058,203,299,131,523,764,627,045,773,
062,555,286,872,137,295,990,267,545,083,726,675,828,945,683,707,197,879,351,
064,311,949,436,790,798,561,723,103,606,745,498,176,765,457,512,229,275,210,
139,752,388,724,938,498,429,024,584,209,500,999,585,100,102,285,231,658,546,
271,492,483,049,940,311,866,193,514,798,319,253,096,426,519,416,130,366,271,
367,261,303,040,881,941,658,632,446,727,546,879,670,509,805,239,679,420,313,
934,596,919,631,075,883,494,018,369,386,577,085,584,985,734,181,634,467,164,
392,144,647,769,744,786,107,266,870,872,184,292,501,394,785,787,433,248,815,
361,956,842,145,537,204,877,285,005,707,709,477,801,174,839,294,181,862,526,
286,310,972,608,712,880,723,883,363,910,686,131,879,827,575,895,461,218,081,
207,890,042,883,152,683,638,828,824,897,352,474,597,187,029,377,014,624,853,
041,712,594,075,832,209,768,073,581,805,901,919,567,804,721,134,180,441,401,
639,882,788,319,265,004,490,958,249,114,735,062,878,660,775,719,589,808,972,
250,796,207,186,493,138,166,057,111,216,983,365,128,318,567,641,233,824,847,
703,579,926,040,286,118,552,922,175,754,075,475,825,543,885,189,217,951,465,
242,984,916,263,901,450,468,257,008,665,663,740,789,349,976,762,005,600,013,
954,671,979,980,618,714,898,018,535,548,761,329,338,216,169,230,154,023,720,
597,771,618,519,563,458,577,837,525,404,958,180,527,854,299,316,426,990,609,
566,076,522,025,633,051,711,890,684,465,755,069,590,733,598,109,531,103,444,
468,109,373,291,914,421,112,493,004,279,873,703,121,678,482,785,334,659,432,
588,941,106,922,856,364,569,976,064,067,652,566,943,426,253,755,741,560,699,
954,744,100,548,954,367,905,676,274,005,728,733,001,988,706,311,121,911,049,
999,807,955,583,942,435,323,609,080,595,547,647,826,361,069,213,452,278,560,
646,163,820,569,048,744,743,212,580,145,792,229,976,362,683,585,106,792,169,
970,042,903,042,900,217,475,602,888,459,543,541,237,970,402,638,089,311,878,
608,655,826,655,348,338,888,469,082,016,535,460,501,746,570,934,228,283,658,
884,182,035,467,559,290,774,572,996,772,407,194,405,166,829,529,978,029,463,
580,059,182,472,471,434,372,056,795,921,909,305,218,707,395,938,494,329,836,
968,322,170,399,184,887,261,964,684,588,807,912,803,320,397,026,301,284,966,
400,593,719,654,989,357,676,868,838,139,302,808,249,044,100,168,701,037,823,
974,097,521,338,421,630,528,945,852,355,240,771,216,109,193,284,042,968,552,
757,817,399,492,009,370,350,476,166,007,580,802,630,359,331,444,775,637,402,
498,347,482,846,147,715,165,184,732,171,014,460,839,535,474,993,576,978,347,
305,477,470,636,014,398,746,601,831,079,202,032,523,999,379,212,450,124,993,
408,180,225,474,764,802,049,224,373,643,501,897,285,883,936,511,727,959,142,
500,553,592,801,593,243,273,662,003,267,205,981,654,574,231,803,414,651,592,
571,742,647,246,058,243,702,663,120,179,781,585,946,405,129,921,911,200,732,
954,436,663,380,152,795,471,810,658,106,451,149,002,607,238,765,594,891,171,
123,791,725,712,584,529,963,251,881,130,422,438,873,873,376,959,950,444,987,
532,976,476,093,168,162,135,931,928,907,542,548,165,940,749,835,325,846,268,
426,943,177,058,586,475,005,812,629,867,577,490,217,097,048,179,101,471,481,
283,637,828,144,793,262,337,796,256,954,923,523,606,002,754,477,822,820,906,
175,411,538,890,312,178,970,477,966,541,558,077,689,975,875,506,703,444,209,
151,977,713,431,561,810,890,056,816,506,527,367,514,190,342,419,062,203,245,
464,332,097,375,824,921,253,165,295,732,461,641,442,965,262,660,751,347,610,
833,619,029,812,558,461,608,283,823,574,267,147,824,801,229,479,998,072,543,
932,629,841,499,996,176,638,399,944,741,585,256,218,690,171,037,185,914,840,
419,626,964,164,341,442,709,475,794,083,880,567,110,816,474,031,839,161,369,
084,099,461,214,827,897,439,196,687,761,920,213,328,834,746,465,920,963,640,
499,138,144,607,187,160,694,933,625,147,191,646,021,477,046,448,118,390,134,
670,357,479,104,627,324,905,361,757,279,682,251,892,646,185,420,087,825,823,
274,574,227,618,504,902,076,923,069,680,730,835,526,338,800,845,149,345,918,
523,128,633,808,190,999,086,655,936,331,806,484,685,766,221,177,749,207,154,
945,718,363,647,461,915,044,725,064,135,236,803,291,142,303,920,126,949,219,
399,173,010,955,885,432,373,721,264,078,264,076,828,186,544,367,176,080,712,
436,748,257,146,318,196,671,423,399,661,118,287,805,995,379,026,198,121,679,
459,810,443,393,376,520,650,274,833,859,446,358,221,481,415,643,983,589,629,
190,311,213,387,400,042,588,331,787,845,234,778,664,240,443,848,965,321,907,
926,029,935,169,643,839,615,974,226,970,750,337,700,736,008,955,407,342,075,
184,053,504,708,211,062,014,136,902,123,204,358,904,728,597,749,021,778,944,
815,129,471,843,815,794,449,749,788,622,187,988,774,673,473,997,198,342,527,
419,997,536,225,006,585,687,609,873,303,580,361,757,302,488,055,740,002,292,
225,393,734,758,130,265,175,720,527,094,502,004,925,831,923,259,303,262,890,
176,813,682,721,734,857,779,251,974,486,739,218,639,864,114,017,124,135,911,
126,742,566,660,800,226,122,870,203,894,774,818,802,804,920,877,247,543,079,
530,255,098,252,920,376,716,515,166,130,231,106,786,936,313,872,845,062,242,
125,386,301,236,849,758,447,521,012,082,155,723,423,397,700,346,057,986,896,
843,763,548,504,989,546,725,138,639,165,966,755,345,417,823,320,526,254,580,
155,919,776,298,381,962,989,496,337,094,581,418,714,032,813,371,013,947,965,
102,347,800,447,218,958,249,073,832,669,940,554,424,354,758,050,147,412,438,
488,078,111,274,272,315,603,798,207,469,503,227,434,987,844,171,067,247,493,
411,948,964,642,813,778,085,081,104,571,107,033,594,591,589,034,251,930,982,
010,720,761,693,131,900,294,901,720,631,410,264,931,847,613,375,024,577,012,
971,279,111,362,881,489,617,071,915,272,040,416,020,853,167,396,988,119,546,
071,809,325,632,135,650,343,070,912,108,440,504,211,376,002,142,771,572,407,
145,702,948,631,232,779,212,347,908,964,659,289,130,494,302,976,991,532,975,
895,046,310,691,700,368,328,508,929,672,805,952,224,480,379,106,496,143,969,
042,353,748,020,338,836,528,214,110,643,178,118,085,328,809,944,365,363,357,
179,987,741,901,285,050,473,809,818,720,776,072,889,898,433,898,206,708,803,
241,736,668,277,467,177,400,299,744,197,496,888,398,072,828,152,453,010,426,
674,011,057,635,721,792,741,104,179,931,493,986,068,804,942,466,452,952,505,
995,922,897,053,557,059,458,503,683,412,589,190,018,335,486,263,456,897,891,
736,922,634,170,195,620,149,101,316,976,690,237,345,079,384,063,498,216,087,
235,616,206,160,710,067,446,439,055,421,100,715,003,941,130,690,541,567,414,
910,785,399,678,825,305,661,380,893,766,054,853,433,426,655,220,397,866,919,
425,822,190,866,060,607,699,572,152,393,165,887,157,031,170,345,832,103,972,
040,545,748,649,077,508,958,663,223,150,494,765,384,755,362,742,719,423,821,
542,937,033,112,702,651,575,981,510,733,019,345,957,267,132,988,908,839,524,
719,205,638,554,933,603,618,258,498,349,466,769,835,655,172,400,607,974,115,
654,814,693,072,044,931,924,410,947,375,099,103,396,834,891,739,617,238,042,
294,559,362,264,726,345,768,611,043,391,789,873,643,817,892,823,135,271,841,
246,386,153,113,796,989,256,650,808,811,265,077,292,226,945,626,485,523,750,
615,925,890,111,672,809,294,978,108,380,513,561,360,027,249,749,741,905,399,
855,525,305,407,831,893,384,464,647,412,826,801,531,235,107,260,002,217,866,
627,561,614,009,859,363,362,573,856,561,799,573,601,437,768,235,041,082,083,
168,009,556,968,161,011,994,520,101,864,135,881,686,079,959,324,798,044,376,
925,144,823,493,197,614,755,927,884,506,696,856,267,053,993,161,554,494,789,
215,087,303,304,010,149,839,245,016,788,100,284,251,502,319,130,975,378,171,
496,814,867,168,101,477,003,867,534,991,207,260,440,005,015,512,427,512,685,
073,252,045,119,681,585,851,328,979,390,478,868,626,747,646,797,536,281,723,
748,946,164,439,158,983,301,948,733,827,731,848,111,830,391,177,901,421,440,
260,747,823,471,158,044,772,824,188,321,596,166,229,749,631,889,855,999,956,
800,111,223,682,380,338,070,352,630,019,083,367,002,850,817,351,981,895,629,
490,489,844,613,172,807,548,564,265,523,130,451,907,404,101,484,078,405,289,
599,394,943,674,549,605,630,008,300,548,791,444,211,781,366,435,935,658,237,
128,469,418,711,134,533,163,307,379,766,093,152,113,229,795,911,231,464,550,
149,319,757,748,701,866,074,243,147,004,969,481,931,763,919,903,594,501,084,
960,220,041,451,722,214,533,581,610,139,337,512,304,972,195,173,488,830,228,
811,943,486,298,500,460,717,170,826,351,270,920,557,473,059,307,507,777,589,
070,299,924,704,274,425,846,040,541,293,402,148,804,575,007,333,496,319,287,
909,894,331,650,352,439,777,121,909,313,756,911,017,964,016,704,248,088,748,
005,248,606,407,081,525,708,746,307,184,029,333,755,425,382,781,153,518,642,
111,001,334,156,801,921,180,999,278,330,483,079,109,309,924,517,401,776,519,
433,894,570,812,584,332,923,782,720,379,663,820,491,619,770,319,218,543,065,
433,463,149,465,913,222,208,003,778,068,864,263,746,335,125,425,003,147,810,
679,159,541,529,614,043,209,225,369,226,140,592,304,757,607,308,653,481,304,
094,244,425,987,430,587,527,586,551,329,535,454,560,936,871,431,656,752,899,
276,014,393,417,598,055,848,333,266,303,007,897,126,092,216,220,736,134,353,
456,615,223,322,593,623,929,791,481,984,202,222,119,360,701,776,538,770,731,
601,523,464,309,607,549,647,468,181,555,117,084,419,216,155,059,742,181,762,
097,908,099,891,750,052,972,392,514,140,400,081,840,759,080,904,916,565,410,
974,334,681,474,781,047,093,989,379,497,036,207,965,573,364,527,769,412,721,
076,351,449,010,848,883,564,064,984,536,380,390,762,588,159,388,615,694,019,
465,018,667,428,092,678,406,848,517,609,697,057,714,072,858,773,878,791,257,
181,915,117,694,162,492,135,541,482,594,314,381,582,711,857,720,713,920,189,
846,750,879,937,367,436,905,389,515,047,766,830,151,441,825,896,086,954,912,
778,771,009,540,888,748,329,146,816,697,981,429,779,991,842,459,468,016,667,
994,898,762,113,689,325,088,502,012,825,932,440,950,244,511,783,194,773,128,
717,483,068,408,916,942,914,136,327,285,899,753,739,113,128,635,507,058,582,
955,233,212,349,193,980,692,396,871,784,361,902,463,966,579,969,636,266,262,
456,352,982,879,899,413,625,284,437,443,887,825,357,033,743,842,301,324,691,
966,353,412,637,619,276,615,168,063,075,460,236,385,574,777,425,340,541,251,
203,631,510,736,755,196,081,962,255,641,147,255,453,947,327,657,543,034,451,
020,635,478,067,453,706,330,436,821,563,300,163,820,875,349,466,388,384,975,
227,448,216,544,272,074,255,658,875,925,155,537,022,123,553,841,631,105,555,
006,490,089,653,406,859,183,126,345,237,452,043,635,441,499,364,286,159,151,
308,128,152,225,668,028,442,845,883,778,640,348,209,735,938,950,464,208,768,
491,358,470,362,841,264,037,338,283,040,514,641,311,152,473,163,919,187,267,
579,712,594,030,434,034,480,266,169,062,114,672,241,602,747,774,124,256,876,
818,721,125,710,501,964,108,562,306,277,623,783,543,411,378,403,264,953,049,
974,267,379,000,441,841,923,735,182,437,237,575,189,510,465,690,308,208,782,
582,170,904,781,742,765,933,537,140,769,388,990,637,358,905,064,334,895,818,
545,049,302,832,248,489,939,981,810,104,727,651,324,873,378,787,462,953,644,
684,246,762,763,721,913,078,874,247,531,296,879,939,121,448,675,515,261,779,
297,929,488,130,684,910,274,038,270,924,021,188,785,782,032,154,114,239,332,
772,246,270,265,654,462,158,881,252,151,833,184,781,705,310,970,101,041,838,
744,590,327,794,570,849,477,625,330,285,640,883,694,844,909,206,271,252,344,
365,584,467,644,968,556,805,064,426,820,969,213,430,598,842,310,741,592,095,
270,550,830,944,479,544,275,318,789,823,801,654,034,639,306,710,143,698,109,
734,253,737,202,721,423,750,384,198,673,085,700,839,525,967,534,671,056,895,
398,926,038,939,231,436,506,224,585,688,073,646,865,471,336,913,482,667,653,
337,656,793,835,552,215,587,037,408,127,178,917,126,161,330,269,463,932,518,
658,666,782,993,221,346,121,978,253,057,704,297,456,842,388,106,021,009,167,
324,200,623,695,766,422,199,474,974,744,659,003,524,593,624,195,155,579,058,
354,752,601,794,486,625,762,385,821,646,610,881,154,001,228,445,016,110,157,
079,888,811,343,011,685,025,463,769,948,346,084,317,775,207,925,163,852,965,
020,519,001,797,773,511,307,313,431,890,980,151,743,166,899,848,771,298,971,
419,794,541,157,835,354,954,164,734,015,488,200,329,967,504,683,222,646,067,
186,936,218,661,150,042,620,418,528,281,194,269,105,423,055,017,722,500,217,
698,091,155,592,853,677,691,648,951,166,927,866,155,304,170,650,760,796,566,
258,673,415,401,531,446,906,704,895,320,804,005,355,864,654,536,170,254,783,
296,259,591,624,569,183,318,199,190,573,197,428,034,128,335,667,505,499,130,
727,079,398,891,077,589,489,227,779,252,975,968,948,319,487,800,650,896,800,
846,594,947,072,075,979,381,431,886,900,818,137,877,339,860,281,477,669,463,
102,035,263,554,932,219,501,942,341,725,489,310,866,588,095,517,453,011,577,
295,253,856,838,909,828,890,877,153,594,158,129,543,562,598,892,793,010,539,
353,088,785,733,024,207,337,038,745,477,356,950,803,594,647,331,387,081,330,
810,769,510,924,332,131,768,158,457,364,952,120,336,280,831,242,017,416,206,
249,624,379,315,387,569,962,529,259,570,238,595,013,731,732,697,378,263,647,
837,805,949,783,925,123,028,543,703,859,231,796,584,068,086,329,624,715,478,
720,356,187,269,188,197,594,379,834,479,501,193,839,701,418,561,114,039,031,
458,298,382,678,788,416,773,609,764,936,584,849,069,554,423,883,127,963,267,
273,931,859,655,715,074,934,574,370,904,613,550,447,773,855,602,762,935,328,
412,951,689,575,869,107,819,010,445,835,653,406,764,987,095,341,524,183,852,
316,327,590,020,646,922,360,822,340,780,485,922,135,093,832,166,615,704,661,
242,691,683,805,831,790,753,966,791,801,305,861,999,264,378,474,580,348,075,
746,840,174,259,313,316,764,718,686,797,275,310,707,371,821,746,224,545,177,
968,944,259,170,550,624,040,615,542,840,590,190,089,240,297,615,821,597,982,
036,578,623,484,735,847,773,516,308,597,133,857,930,641,224,742,935,949,858,
382,487,716,823,861,050,998,555,569,696,106,091,844,310,224,721,171,747,566,
340,195,578,976,127,856,336,855,406,231,793,800,899,394,302,628,971,023,482,
709,141,272,282,779,472,007,086,574,086,497,956,640,541,702,523,835,369,815,
693,502,879,534,876,196,819,891,324,215,406,725,626,865,831,338,161,553,639,
456,412,934,016,854,705,430,772,071,648,263,748,700,427,409,413,873,542,362,
529,020,747,396,517,429,852,670,863,836,349,512,908,219,566,920,233,242,972,
745,177,925,516,682,717,830,730,845,649,470,529,358,003,407,923,555,924,525,
127,586,582,140,236,218,056,912,977,287,564,414,083,737,081,365,596,511,477,
310,062,222,560,812,394,027,752,205,463,697,757,614,317,035,785,987,877,255,
635,952,257,474,650,072,522,230,667,906,826,585,426,749,537,556,420,303,310,
760,411,853,638,804,345,365,071,163,576,781,665,694,902,362,881,579,046,373,
322,717,966,169,271,141,160,528,621,171,640,520,888,755,543,867,842,479,023,
346,112,453,374,393,919,922,878,261,243,480,955,412,513,000,087,074,585,593,
488,350,690,462,849,006,473,826,245,967,699,642,416,887,333,929,688,116,962,
440,627,529,502,946,087,742,101,509,452,045,303,884,805,395,669,775,626,786,
630,811,517,788,871,500,531,387,008,581,562,646,104,140,203,336,746,920,622,
825,311,437,134,555,616,580,719,263,747,862,097,335,248,110,261,149,025,927,
897,490,096,554,040,248,397,395,210,848,217,453,308,131,113,108,950,791,332,
262,930,813,859,697,755,197,724,722,321,557,722,052,798,160,605,716,043,359,
044,785,148,836,616,804,179,713,896,876,310,198,904,317,011,087,995,483,903,
796,817,023,844,596,510,804,143,870,979,838,190,310,983,897,335,517,295,663,
797,641,512,486,414,403,876,186,079,878,653,800,297,555,117,688,105,652,172,
662,944,070,324,082,090,983,747,226,442,131,304,394,749,815,465,572,855,261,
515,461,825,900,624,546,449,106,651,019,478,480,975,145,113,936,468,288,023,
352,277,874,495,412,524,598,261,186,385,322,500,630,951,354,746,068,355,933,
586,499,655,729,183,634,660,470,313,846,064,525,882,352,810,965,199,383,558,
657,763,206,788,956,416,537,203,625,906,036,023,765,332,937,223,316,635,443,
895,482,832,314,552,856,391,952,184,342,662,138,337,332,273,447,505,999,549,
874,113,233,551,364,361,581,959,650,077,804,504,054,663,248,346,182,033,046,
434,613,513,231,668,108,208,739,496,657,608,575,353,851,146,769,381,242,732,
547,392,538,114,291,951,373,987,289,999,981,534,752,064,290,416,299,831,954,
232,428,255,082,813,409,359,328,499,251,052,873,246,734,928,295,888,182,866,
136,537,237,348,390,484,695,633,891,916,176,267,608,144,240,768,057,105,074,
379,610,144,961,312,028,549,737,195,991,827,517,885,704,193,836,296,143,590,
478,905,781,894,493,893,905,850,155,341,227,446,745,984,447,239,116,390,715,
899,930,264,392,354,686,762,642,495,422,443,802,483,979,507,907,075,298,007,
303,627,484,980,238,118,437,350,023,039,365,848,235,137,746,826,627,036,516,
913,381,497,573,726,248,918,993,301,384,535,854,711,285,553,104,995,690,913,
054,200,740,517,628,005,633,635,094,773,178,631,427,877,385,731,326,924,336,
773,550,745,953,620,272,509,146,113,675,362,775,866,159,206,542,852,838,834,
416,546,811,618,496,508,139,971,552,721,050,484,806,303,408,619,418,664,185,
403,983,094,818,338,256,029,510,443,334,898,887,973,614,888,185,878,277,365,
863,849,297,441,952,186,610,184,946,187,090,609,173,213,019,754,025,167,742,
215,369,241,514,226,171,760,128,014,997,544,549,756,011,427,612,604,900,020,
915,588,544,063,040,179,691,428,537,828,240,967,254,749,230,458,978,889,887,
683,261,083,261,050,285,273,789,113,350,568,553,901,608,208,703,673,122,008,
536,644,751,366,692,801,685,414,627,537,799,062,873,672,957,235,483,214,796,
101,383,043,851,817,702,169,577,826,818,979,409,890,302,560,578,809,009,255,
393,810,966,565,027,339,085,329,875,760,000,347,640,341,008,405,455,034,986,
979,787,294,073,271,978,774,934,896,739,696,162,069,817,238,312,954,193,876,
704,733,950,326,437,529,138,400,200,344,358,545,197,196,286,367,305,821,024,
108,474,096,972,154,416,583,214,401,516,788,854,235,246,311,766,953,341,197,
582,503,762,094,921,799,538,345,624,735,837,303,464,638,203,895,296,831,087,
250,462,361,491,832,917,796,785,967,993,851,096,257,621,149,695,059,270,781,
694,474,820,902,371,506,313,352,717,391,229,699,449,357,543,724,324,180,114,
768,387,666,835,371,716,382,663,113,099,800,746,784,624,632,507,024,751,891,
748,841,404,255,370,041,911,418,623,837,725,053,190,649,590,839,188,518,647,
106,170,688,586,962,342,179,210,974,166,589,546,791,496,737,001,376,987,723,
949,413,676,097,691,149,357,019,377,272,352,656,092,417,119,608,290,248,708,
137,397,483,454,718,532,727,690,993,463,473,467,886,900,016,446,151,986,776,
720,563,827,314,311,023,239,591,030,991,954,995,910,606,924,463,813,216,729,
051,682,966,160,222,137,379,790,327,913,282,814,089,661,956,477,337,199,157,
666,756,997,666,034,840,786,934,422,824,752,140,755,851,580,722,574,043,713,
518,250,944,695,670,212,955,378,435,797,214,196,431,554,574,220,335,271,662,
639,292,159,343,863,098,418,740,009,214,966,977,117,111,355,260,086,941,691,
271,127,053,009,179,843,490,737,522,985,683,101,196,862,317,786,191,174,965,
583,873,125,396,679,558,085,999,821,697,112,193,191,267,270,988,555,344,534,
503,622,168,969,856,004,204,616,988,407,470,249,165,193,575,210,261,873,105,
229,123,719,371,980,506,528,644,889,137,647,853,125,672,520,552,592,097,797,
897,385,649,692,240,888,513,862,533,269,438,922,646,513,678,921,661,619,510,
598,179,869,785,483,912,696,913,463,573,905,103,674,447,331,374,717,273,906,
546,212,786,503,268,444,128,144,454,710,669,606,049,224,119,552,435,060,049,
443,658,006,536,949,703,765,302,123,386,307,301,414,887,626,958,196,367,636,
118,858,929,735,501,172,916,548,520,317,566,062,898,799,716,939,731,020,847,
765,247,506,204,777,640,840,235,966,836,430,000,466,573,233,327,072,413,813,
078,323,844,230,695,321,131,200,558,344,191,053,585,008,502,247,481,681,632,
712,508,922,860,482,343,474,224,791,664,212,987,751,426,400,061,346,218,100,
199,994,785,007,602,027,050,857,581,012,694,091,660,887,878,641,142,876,985,
030,822,893,162,232,783,799,216,868,299,027,424,489,903,882,745,650,970,551,
273,097,783,792,139,933,267,442,594,935,666,581,391,534,138,846,063,904,028,
973,487,485,910,725,353,267,402,435,546,125,032,142,192,496,376,810,026,149,
455,610,007,925,146,394,538,337,787,744,305,776,505,527,540,956,888,729,475,
158,027,432,285,703,856,059,984,523,339,094,782,721,504,679,305,266,566,668,
173,869,626,894,325,515,808,514,459,155,991,056,027,472,534,549,555,823,016,
389,810,459,735,845,807,213,615,836,862,218,028,426,703,317,667,850,964,008,
271,962,036,159,813,565,003,039,163,398,307,887,238,120,268,020,546,317,632,
991,301,264,922,677,321,614,952,190,676,226,988,969,824,608,269,324,701,243,
719,193,082,351,835,967,863,970,476,099,977,281,100,142,606,920,307,780,492,
905,195,936,054,406,903,119,506,289,264,567,093,515,211,959,773,330,632,840,
395,272,902,080,898,986,775,260,014,893,836,619,875,415,830,870,574,771,572,
589,107,470,599,154,647,676,948,192,656,384,647,117,458,456,198,614,237,454,
336,080,337,856,103,746,757,243,118,226,214,717,655,960,148,781,006,802,754,
957,117,036,030,712,058,879,543,689,472,312,877,498,998,444,679,679,224,401,
326,815,531,125,885,081,566,157,682,165,236,328,906,608,696,104,423,434,427,
724,011,372,608,101,243,228,302,244,203,954,173,085,051,044,641,750,304,145,
445,263,959,149,626,333,797,879,213,132,089,157,127,249,720,598,291,174,612,
453,265,364,971,287,013,001,245,043,897,445,009,544,324,149,176,934,336,522,
672,378,780,120,542,026,187,150,777,433,629,048,186,103,553,617,547,490,559,
090,525,006,458,539,546,672,902,618,946,337,029,555,137,182,997,659,470,353,
016,529,195,786,188,496,476,447,341,837,157,919,588,277,376,388,052,269,908,
341,702,205,773,490,765,210,894,535,038,775,703,817,426,300,376,527,706,249,
155,612,391,718,950,965,254,081,991,159,488,923,877,103,328,395,805,351,664,
587,245,821,128,228,145,071,756,997,792,782,631,595,990,769,088,156,493,353,
277,426,204,266,907,948,181,418,510,313,596,942,812,409,198,761,490,419,032,
964,170,339,893,410,237,479,521,070,065,737,145,518,671,979,280,178,738,027,
695,644,036,923,527,262,432,663,948,529,144,265,640,738,499,786,121,076,064,
652,325,693,849,557,359,480,741,371,618,694,691,616,033,640,306,515,366,705,
212,750,153,543,259,744,874,716,760,764,634,704,447,538,705,748,059,096,112,
298,488,466,446,375,022,910,734,658,857,766,624,905,482,630,256,973,651,631,
996,339,466,402,216,860,155,093,495,482,204,701,290,384,236,234,662,173,037,
901,851,699,973,634,922,753,904,458,040,439,787,156,194,959,883,966,774,114,
499,261,140,216,944,038,386,560,319,702,565,712,169,360,433,838,698,138,478,
719,091,005,663,308,982,705,026,345,698,932,400,679,776,181,594,970,566,666,
494,810,938,969,825,799,576,508,110,955,919,576,326,564,205,144,582,303,889,
684,563,029,595,110,481,023,915,732,538,750,050,104,150,835,040,942,586,631,
988,821,988,627,240,061,556,133,192,141,570,104,726,275,699,718,995,617,021,
473,249,552,701,661,307,324,256,842,871,816,108,427,651,426,642,013,184,356,
144,895,376,351,184,497,156,663,210,757,809,558,597,000,835,716,300,213,763,
610,417,608,847,012,250,439,020,537,958,481,795,316,137,518,930,228,764,789,
714,982,818,563,921,774,207,104,918,131,397,271,875,628,108,033,701,616,834,
647,178,033,263,977,741,523,199,289,307,635,632,567,089,828,998,881,413,550,
289,507,652,990,393,057,704,658,052,320,142,170,762,741,861,446,072,340,782,
844,244,666,188,601,321,411,542,565,923,944,421,250,478,100,896,969,053,836,
406,668,731,973,203,716,148,495,123,284,344,873,077,335,759,757,494,156,725,
188,069,608,166,609,440,414,644,776,900,415,639,624,782,284,344,071,748,097,
175,572,352,146,580,648,999,133,110,375,358,492,509,246,082,660,856,311,758,
760,479,249,335,983,957,067,133,632,527,179,796,750,923,769,765,565,675,280,
247,087,160,407,211,063,148,919,685,420,123,257,971,100,027,296,397,604,787,
381,974,024,319,755,978,895,235,455,976,939,859,439,621,930,165,533,553,113,
194,098,858,833,411,922,294,641,701,470,803,016,896,404,866,934,763,301,133,
617,197,636,076,620,958,225,291,299,749,604,612,516,095,197,892,699,213,595,
742,683,827,832,285,732,506,240,914,613,749,703,901,495,141,160,913,252,834,
792,249,669,339,245,080,742,174,347,054,930,811,757,581,311,137,375,369,834,
284,673,462,369,956,263,935,094,597,784,702,303,299,694,875,888,690,655,675,
826,238,042,946,805,193,515,219,473,750,533,463,439,558,371,156,178,797,793,
246,012,897,609,069,413,299,067,219,636,099,567,004,476,984,790,244,039,590,
777,237,969,400,111,599,836,395,458,320,608,174,945,820,914,894,761,868,439,
604,740,407,709,761,907,195,638,505,654,519,744,810,769,810,466,007,171,031,
871,215,094,373,801,800,470,189,671,240,023,743,188,773,880,064,414,474,052,
835,566,341,212,825,674,245,288,056,715,139,312,177,597,665,895,776,269,205,
450,898,436,079,098,366,811,293,155,799,174,176,342,574,572,452,392,860,869,
654,947,700,829,395,395,142,290,855,595,465,224,968,081,043,321,355,218,486,
774,738,352,019,756,163,607,237,285,006,982,599,421,542,787,106,962,141,153,
056,712,178,238,140,547,497,020,922,531,595,270,068,552,052,107,183,151,872,
896,212,812,440,069,365,328,325,705,635,809,101,150,820,629,440,608,962,442,
102,068,719,890,847,424,391,211,306,398,480,315,134,775,838,794,655,878,416,
387,924,676,283,275,847,243,001,288,554,966,501,370,021,259,791,349,080,478,
377,742,272,823,164,119,642,753,206,166,957,321,885,321,652,277,603,306,598,
079,768,060,350,576,592,860,109,778,203,340,566,754,023,470,629,832,417,112,
409,826,904,167,887,515,364,646,522,463,658,104,911,680,101,923,636,966,038,
537,693,095,350,267,466,065,454,278,783,106,688,843,354,936,239,018,312,861,
508,992,145,170,169,280,093,325,655,985,028,103,234,422,156,262,763,103,951,
537,662,908,564,310,854,010,049,202,092,949,139,239,749,573,499,060,594,927,
402,625,848,557,429,858,327,468,518,439,770,896,955,407,575,297,021,890,523,
670,040,657,333,305,428,935,758,880,786,770,025,345,259,666,328,109,940,026,
209,714,135,010,500,632,232,515,963,926,955,831,808,284,888,677,436,959,672,
068,077,661,417,403,152,711,789,895,380,113,082,947,142,550,676,124,296,890,
920,000,131,163,442,727,854,974,534,699,501,745,638,423,743,280,814,518,539,
328,171,096,481,580,882,083,753,281,271,420,668,465,909,999,287,692,787,074,
372,434,102,600,588,376,978,364,882,777,038,258,053,932,221,939,884,937,683,
972,451,611,659,016,921,902,028,500,206,845,288,962,221,524,299,743,676,330,
438,770,954,228,247,729,966,998,600,447,266,930,122,735,483,541,949,678,886,
106,598,306,886,796,606,354,028,967,446,621,139,108,154,685,075,910,272,074,
283,470,286,433,685,176,752,894,976,075,644,627,577,568,330,951,855,246,458,
875,028,925,233,755,107,757,645,385,945,358,034,715,350,734,607,615,685,703,
327,170,962,304,581,823,770,568,296,973,320,226,641,254,726,148,409,393,784,
296,830,994,688,113,283,677,496,590,067,084,107,136,268,732,214,849,470,450,
762,235,248,569,146,933,873,133,377,582,894,406,300,726,000,404,993,375,185,
207,955,622,313,706,819,062,931,092,360,935,689,041,177,753,067,722,735,751,
367,258,115,569,785,762,986,716,294,170,308,184,355,040,775,464,421,742,689,
422,884,277,885,405,480,690,055,792,134,827,933,385,127,236,818,219,306,262,
556,709,541,783,368,234,217,123,099,193,250,213,197,218,079,505,102,265,386,
062,320,367,403,324,511,523,440,195,210,053,988,342,632,632,183,749,676,435,
672,541,803,370,287,265,891,606,052,460,839,538,913,316,513,850,776,126,527,
924,531,264,663,077,792,948,663,893,420,225,129,081,383,898,779,464,234,851,
931,572,454,542,355,513,847,591,087,937,029,376,340,129,414,560,324,685,715,
930,549,844,278,897,482,778,958,862,830,765,826,289,877,068,949,108,039,184,
704,332,027,634,048,831,858,201,005,433,043,825,745,875,910,749,037,311,777,
117,495,010,515,913,203,242,921,591,652,660,736,185,492,027,046,561,086,344,
286,367,305,936,319,637,244,314,360,295,735,227,736,902,939,148,115,719,877,
246,517,955,288,390,868,805,711,660,753,666,499,895,839,976,474,766,482,940,
367,060,956,516,683,400,912,849,354,148,544,813,134,903,798,970,777,012,767,
002,452,131,237,506,438,967,226,917,316,410,341,262,312,744,673,204,611,643,
202,428,528,494,822,770,290,094,432,176,449,012,238,653,591,459,042,161,777,
561,923,210,933,057,044,018,125,764,317,968,857,734,908,460,798,752,670,250,
159,508,239,176,068,977,997,302,425,180,026,900,868,762,748,384,030,751,735,
215,499,565,593,226,644,268,169,239,188,359,220,219,536,645,764,507,925,375,
354,316,266,593,736,579,696,813,551,820,963,571,085,773,078,995,574,644,624,
688,829,619,856,211,097,354,348,737,060,581,245,225,568,858,291,177,786,442,
247,969,081,901,097,522,848,638,502,224,013,602,404,910,485,572,744,971,676,
705,266,680,485,842,247,676,124,808,641,419,700,211,820,587,699,346,900,064,
481,271,787,864,796,851,518,339,259,566,155,264,893,606,818,029,306,452,231,
718,627,142,417,766,406,745,761,417,414,958,317,735,291,083,841,360,735,598,
582,377,383,802,597,509,942,333,120,642,973,058,788,109,349,080,904,852,863,
236,930,885,807,309,375,777,233,881,586,450,141,630,798,461,536,445,447,702,
030,482,334,951,391,106,051,536,878,117,531,636,649,486,402,145,264,539,621,
370,660,808,475,865,371,656,506,756,279,695,162,432,785,984,100,513,701,582,
797,780,271,990,999,741,694,821,499,757,114,202,974,348,196,298,340,534,939,
840,528,950,215,900,964,997,232,979,465,035,117,040,864,184,170,015,910,553,
674,726,547,402,616,351,468,378,750,502,532,980,246,528,550,421,655,769,110,
110,933,070,230,776,937,188,385,063,876,289,688,780,568,661,803,773,226,598,
527,038,404,818,673,448,727,428,174,732,526,931,817,601,364,545,136,136,263,
886,318,574,378,909,512,340,120,266,732,068,705,232,183,309,650,949,835,008,
806,608,675,266,766,566,049,943,494,730,897,956,567,821,399,483,503,109,130,
246,291,468,585,373,991,353,256,521,492,715,027,628,851,342,459,246,789,063,
483,876,504,430,601,114,594,403,357,462,587,544,028,142,232,347,555,946,202,
265,602,942,431,590,927,127,113,860,703,805,880,332,875,151,328,813,983,278,
488,626,934,127,329,104,077,829,038,842,494,232,980,352,173,705,226,840,429,
277,350,410,192,635,896,903,903,729,124,375,080,150,649,429,169,838,558,962,
895,135,244,371,459,418,482,127,902,306,381,451,182,250,269,849,627,208,067,
700,598,730,027,850,136,124,707,079,103,682,056,852,894,347,331,484,960,656,
826,270,239,586,603,665,431,223,893,478,042,121,512,442,632,689,780,111,177,
531,013,620,170,120,393,032,221,313,285,059,802,157,673,151,058,554,727,325,
654,221,232,440,229,461,456,116,548,102,243,513,807,088,457,905,495,537,087,
462,477,267,554,315,739,874,494,713,434,695,564,019,625,001,793,251,387,838,
607,979,133,941,742,965,296,232,723,655,954,194,254,156,446,963,102,631,390,
753,511,471,369,898,976,117,717,039,984,820,856,940,542,920,356,057,336,267,
063,064,257,660,805,880,010,570,800,444,251,366,321,743,088,665,859,899,190,
862,678,664,016,638,681,868,048,081,093,222,583,490,811,624,234,807,036,719,
203,424,007,322,587,830,765,445,399,054,539,600,188,256,885,634,864,544,665,
684,251,480,613,231,120,735,849,297,886,041,534,713,395,174,880,810,884,952,
956,124,845,084,094,055,172,796,449,847,792,562,316,756,340,011,624,637,052,
645,938,669,294,440,328,664,829,073,865,531,022,079,675,018,161,995,028,479,
277,827,167,561,040,478,284,981,955,224,775,730,122,073,178,123,347,951,925,
961,979,736,441,243,280,759,014,196,268,819,222,386,180,373,051,349,843,230,
257,263,408,683,672,382,965,062,437,366,209,146,340,540,933,754,888,993,036,
902,547,788,928,888,212,315,335,602,236,141,872,835,461,570,003,442,902,093,
828,510,779,173,454,354,390,071,922,152,111,297,459,709,049,138,316,400,663,
296,777,405,512,048,316,899,555,250,371,382,641,018,544,002,609,095,722,911,
279,073,808,189,476,126,284,179,419,621,904,530,352,558,871,946,260,084,014,
505,638,822,768,799,730,151,200,033,920,958,565,774,211,519,701,090,158,631,
563,180,441,428,877,771,765,245,726,528,529,866,613,507,890,364,131,376,809,
195,488,284,143,506,533,562,492,751,690,205,220,755,783,669,470,408,659,617,
640,729,630,661,986,536,762,841,753,824,761,644,938,341,646,999,159,082,636,
615,598,765,849,838,893,339,497,062,547,671,077,210,289,296,664,685,286,711,
747,513,760,036,428,707,941,662,971,866,799,512,752,744,990,898,065,115,192,
723,117,541,943,205,491,690,115,606,796,032,443,766,496,021,232,058,157,968,
158,961,889,912,289,576,538,229,664,139,565,882,915,174,392,065,496,400,151,
648,899,277,314,068,115,232,981,072,764,269,743,682,588,268,661,163,710,786,
495,508,382,597,615,952,987,441,878,755,220,626,952,609,630,680,389,161,579,
953,536,321,649,542,473,338,242,481,927,787,482,059,500,939,453,058,344,573,
335,557,997,027,082,417,638,436,458,260,535,881,509,883,400,484,425,065,271,
591,340,268,585,278,438,681,572,651,002,513,783,731,405,185,396,847,004,600,
600,962,380,192,920,102,226,938,501,363,668,824,141,599,741,743,088,839,930,
123,460,696,674,573,842,924,472,199,464,284,306,889,503,567,101,459,444,782,
969,052,626,064,119,176,086,772,026,000,042,173,800,569,391,408,501,827,190,
714,045,079,697,890,965,393,887,608,911,107,526,919,992,119,136,713,258,359,
386,777,262,775,818,205,759,605,770,767,448,453,321,634,424,490,485,928,853,
328,957,025,046,026,271,656,504,725,667,441,710,488,498,899,210,747,042,708,
017,907,312,931,270,450,758,669,639,203,398,262,378,550,739,776,826,934,660,
713,324,897,310,898,394,293,561,229,354,708,304,783,442,283,751,535,376,028,
149,848,557,490,149,586,929,125,371,531,299,633,579,206,159,881,819,794,007,
581,504,328,778,674,210,511,410,949,569,826,526,394,391,356,121,000,013,774,
331,721,591,802,323,389,771,012,736,682,404,205,754,331,703,439,248,548,082,
818,567,916,411,222,678,991,282,085,324,274,231,134,986,322,925,895,164,402,
492,028,532,086,750,729,160,888,119,155,714,758,744,914,431,714,545,788,394,
399,834,102,404,120,489,035,720,407,657,146,585,621,423,072,856,602,097,090,
320,890,929,410,597,944,841,677,422,556,800,409,835,221,367,016,042,391,355,
206,671,876,604,529,822,313,931,031,266,074,892,573,894,038,372,157,005,969,
315,566,418,457,284,460,208,993,610,048,446,267,719,775,551,642,982,918,326,
185,605,324,869,071,305,189,342,048,954,602,340,004,682,387,644,993,369,435,
884,196,365,804,671,128,759,452,102,476,980,045,337,282,121,294,726,242,574,
553,070,500,486,522,737,005,080,812,521,944,025,036,506,624,766,432,633,591,
620,509,291,591,731,283,179,534,410,870,720,839,020,752,968,222,202,380,975,
160,301,631,112,367,232,935,236,760,264,356,335,052,557,375,040,490,089,993,
623,921,477,106,244,009,315,062,178,888,649,834,198,444,073,627,530,677,369,
253,137,979,854,656,753,039,440,882,282,229,175,255,905,222,305,410,478,025,
606,912,306,336,945,517,643,739,561,754,268,095,909,821,118,043,648,921,003,
373,416,661,325,506,306,631,811,877,439,953,605,861,313,693,265,621,110,821,
018,307,931,036,016,286,694,043,463,180,468,509,685,783,703,162,825,291,869,
527,742,724,048,353,611,476,199,216,575,204,177,843,704,798,498,919,868,758,
636,430,549,349,846,820,076,682,399,862,768,706,404,244,960,765,931,138,175,
015,757,914,920,251,920,866,623,817,655,959,886,992,838,104,759,727,873,071,
649,001,554,314,672,325,367,567,535,859,110,810,508,605,547,270,408,499,253,
864,121,568,820,370,575,360,620,133,328,854,995,465,069,105,915,910,383,426,
988,983,689,547,903,841,859,490,836,462,695,091,357,570,110,468,897,602,587,
917,898,115,375,016,614,535,268,090,271,298,596,287,020,769,782,965,019,997,
034,323,083,555,481,034,633,192,435,854,752,393,310,679,608,806,718,548,718,
707,522,976,468,293,427,153,407,408,407,520,910,945,564,957,933,125,472,000,
983,857,902,588,697,783,741,979,340,056,807,590,247,131,713,039,284,551,757,
253,527,354,060,348,090,924,182,356,190,882,124,713,356,629,372,809,261,027,
960,842,524,213,630,889,059,259,945,091,080,320,762,236,768,067,503,196,574,
860,858,033,980,999,040,485,629,183,042,996,789,192,806,437,544,035,826,366,
536,268,082,901,450,906,978,573,433,104,286,076,871,444,706,032,209,400,361,
058,177,079,351,534,455,648,234,390,411,983,905,527,158,537,274,626,474,589,
225,287,543,788,932,089,185,354,478,966,214,339,877,455,585,009,446,785,052,
695,784,128,932,626,288,489,292,258,063,254,696,966,825,260,398,359,146,414,
377,158,484,550,435,784,757,370,217,031,523,035,492,648,346,901,188,436,497,
923,489,821,802,707,647,798,158,382,175,474,946,726,696,110,582,877,801,427,
147,561,729,500,755,514,467,345,736,083,346,705,687,327,042,963,756,481,819,
067,175,350,053,315,422,580,974,954,944,746,624,940,482,900,359,686,745,004,
470,863,900,727,975,248,211,539,247,652,649,095,103,924,417,956,955,088,778,
877,745,973,446,258,688,183,125,795,453,587,668,778,499,977,049,572,816,086,
628,940,408,223,377,903,664,721,616,004,916,578,907,886,681,277,781,729,415,
113,847,724,102,511,092,901,628,047,963,028,658,377,234,558,537,863,336,054,
447,126,738,591,689,559,074,393,577,926,998,636,031,189,835,345,111,700,436,
919,864,972,378,788,988,310,255,285,166,201,374,834,751,221,303,295,074,119,
193,634,718,480,044,161,380,861,554,647,557,344,017,254,790,707,436,502,886,
748,219,575,919,394,980,703,704,949,923,656,272,541,711,146,542,863,851,203,
711,213,566,662,604,811,422,624,125,414,345,830,027,606,303,689,206,507,458,
573,072,574,740,168,457,430,932,113,953,343,749,983,382,738,890,308,414,931,
830,982,693,515,521,894,681,967,656,330,518,339,111,422,045,728,188,595,092,
316,382,663,273,222,689,484,995,456,174,498,760,198,540,221,481,798,929,519,
731,973,097,240,140,217,137,090,591,424,020,493,547,360,625,929,018,395,606,
328,195,659,593,025,713,312,104,564,124,714,739,734,312,675,359,551,337,932,
689,855,246,434,707,723,264,355,738,941,042,078,336,078,297,925,379,599,014,
734,996,906,579,646,101,115,336,969,073,045,163,246,713,083,636,009,741,640,
231,169,258,674,439,051,296,453,881,665,694,443,096,731,671,223,074,862,118,
204,935,992,852,181,452,215,302,530,505,001,971,517,430,603,821,906,232,196,
549,371,009,079,657,035,012,674,285,105,376,922,694,294,171,096,764,287,662,
704,945,650,722,007,618,561,618,391,588,294,988,569,242,148,025,561,980,721,
032,490,370,526,426,076,221,781,728,166,178,240,740,943,643,681,733,113,293,
546,528,198,277,558,367,404,960,235,710,039,938,566,713,312,979,191,208,760,
582,121,790,602,348,915,024,170,195,526,104,558,839,213,421,667,299,672,348,
302,889,101,423,643,135,915,499,430,433,613,473,791,282,288,098,968,660,863,
544,520,555,839,239,481,478,253,143,261,735,220,027,989,038,470,545,525,528,
676,714,291,390,474,061,858,294,840,491,255,463,620,708,880,149,965,388,511,
887,665,184,040,135,080,803,082,570,660,284,815,017,814,633,813,465,063,875,
815,112,366,778,764,549,542,883,625,441,357,647,834,556,547,331,147,358,320,
882,690,178,728,133,328,996,340,900,515,949,442,564,995,787,960,970,799,677,
833,407,103,233,137,147,064,397,763,510,688,608,869,062,062,213,806,897,705,
695,599,653,498,880,746,219,100,829,446,373,985,905,228,043,201,240,525,657,
920,867,798,602,170,060,229,987,074,784,602,924,347,982,055,475,996,706,858,
658,485,713,696,944,040,395,552,696,549,232,514,965,205,816,392,923,375,813,
540,546,774,118,727,246,031,084,873,816,448,296,107,376,771,331,994,717,102,
252,904,548,173,416,660,922,762,238,013,697,157,919,225,551,893,045,634,551,
080,009,970,160,614,931,595,640,624,374,210,617,144,790,320,374,238,186,490,
584,336,341,161,100,484,384,047,875,723,592,401,079,512,372,020,607,014,442,
679,723,108,489,592,285,697,632,124,002,952,407,268,248,950,733,759,059,945,
452,886,820,732,326,755,920,166,901,530,512,835,598,095,818,659,791,130,264,
973,147,996,650,685,170,084,414,545,877,513,309,361,444,524,565,759,025,098,
926,416,118,622,342,942,312,992,393,157,744,918,920,696,301,144,314,082,118,
512,998,359,357,995,213,792,060,729,635,812,751,038,103,484,550,581,858,314,
732,732,710,615,648,839,680,198,148,221,123,833,475,865,489,450,833,124,704,
088,641,769,868,170,720,284,451,241,686,703,206,496,909,108,698,805,595,440,
365,050,773,725,154,733,883,725,274,692,012,915,126,450,536,148,939,259,155,
716,417,699,885,809,551,047,374,647,579,572,853,203,501,627,679,458,946,839,
110,857,585,660,269,330,234,044,662,097,933,338,650,355,432,692,327,450,504,
930,253,756,833,467,801,493,171,975,517,377,334,585,793,126,053,788,730,774,
563,653,514,139,686,390,080,562,425,182,519,392,046,786,680,663,115,825,844,
195,400,081,523,094,563,067,830,396,886,618,391,906,476,410,422,337,891,360,
709,307,361,572,353,826,611,538,634,831,746,379,718,565,231,676,244,984,436,
624,219,996,205,892,795,868,413,467,836,796,464,390,090,027,467,273,421,589,
699,267,404,646,867,435,088,033,333,655,810,101,503,648,421,128,065,225,426,
802,339,578,195,735,017,354,676,584,805,541,660,237,389,794,978,232,224,509,
977,695,985,583,647,580,595,161,153,874,854,394,918,839,109,944,945,514,708,
514,798,786,880,100,278,131,032,240,626,259,455,091,211,603,082,129,140,027,
416,653,614,568,699,938,278,063,557,222,579,685,866,442,786,922,294,172,498,
656,719,132,329,242,146,565,761,870,375,404,347,252,428,423,438,195,709,623,
250,422,528,859,378,104,776,254,387,220,743,570,570,914,238,988,636,722,599,
392,635,486,836,041,233,433,801,567,211,545,499,766,059,029,595,399,105,091,
172,339,292,597,059,130,199,240,758,823,092,236,615,135,124,233,413,860,094,
683,041,386,263,902,116,208,831,062,817,048,546,567,171,372,439,693,689,205,
176,122,644,969,119,702,639,901,662,316,189,101,285,235,733,279,595,902,156,
736,901,906,375,758,594,112,215,908,720,883,232,617,161,682,048,755,353,355,
780,243,907,082,088,434,432,380,361,148,964,622,498,430,278,621,864,496,818,
905,578,885,560,144,396,671,665,191,197,817,700,756,551,387,688,286,907,953,
853,601,272,140,854,303,329,393,194,017,368,007,120,418,581,718,810,239,053,
936,472,371,494,181,544,440,152,007,763,131,343,924,121,367,959,161,887,377,
855,174,222,470,458,481,703,730,458,525,839,575,717,003,974,836,516,669,396,
217,902,274,476,466,952,199,019,593,625,189,993,834,415,461,507,766,885,042,
265,572,410,973,866,977,656,596,896,032,035,557,867,122,832,104,348,137,840,
966,901,236,177,316,084,092,386,472,460,928,326,254,487,659,486,626,987,334,
515,140,095,965,164,799,213,306,267,403,680,965,985,530,595,881,858,237,922,
009,417,114,860,022,649,180,786,508,454,714,415,743,873,355,692,207,152,256,
874,568,283,004,694,055,310,808,521,763,361,290,626,282,859,363,210,529,943,
575,873,315,504,636,574,520,898,437,289,255,724,597,765,095,661,737,693,369,
891,638,546,373,959,497,642,265,810,071,224,003,454,327,387,383,051,442,699,
612,030,390,517,453,156,125,874,651,798,602,830,333,053,762,994,768,868,139,
463,931,131,949,365,518,218,574,356,396,784,205,159,559,292,970,550,012,364,
387,621,362,215,228,046,421,482,358,276,441,484,792,010,080,208,718,904,331,
576,798,315,905,358,607,029,754,352,991,057,708,368,212,462,997,326,580,720,
181,783,682,584,196,562,121,642,413,952,902,245,488,197,478,435,693,321,414,
406,270,927,921,505,034,246,725,865,158,248,545,429,429,119,481,675,119,832,
878,389,342,850,614,599,772,502,462,810,838,359,986,346,450,925,080,544,799,
843,240,649,836,342,563,264,091,705,352,778,600,501,408,101,734,307,333,434,
878,117,310,478,008,298,687,359,304,544,686,148,063,101,106,178,157,506,506,
726,900,461,337,213,515,987,454,714,643,999,236,606,799,914,216,055,171,605,
775,855,510,542,250,041,482,066,014,546,477,888,297,135,972,672,368,982,001,
530,360,266,366,130,888,903,861,344,257,563,167,421,904,667,384,431,945,405,
100,234,848,301,493,600,346,471,121,508,149,638,143,149,375,355,968,724,058,
830,120,295,470,772,242,058,674,883,957,462,338,773,911,646,594,935,841,383,
981,327,157,698,172,952,342,683,859,846,217,772,443,748,808,458,694,483,539,
141,853,865,378,909,048,384,635,373,607,287,104,369,791,243,456,874,125,971,
417,763,313,012,060,900,635,364,391,706,142,013,619,851,207,262,468,869,308,
774,497,510,416,509,296,561,851,369,464,800,715,496,231,471,346,716,992,015,
888,641,451,207,326,562,941,147,866,424,706,056,825,835,712,317,485,853,585,
094,487,231,558,302,988,312,978,584,509,595,373,580,624,471,419,579,438,414,
813,199,297,812,301,442,080,132,198,572,015,816,639,851,716,780,658,725,521,
926,079,263,258,977,123,862,270,411,892,449,772,157,839,240,373,244,434,352,
636,709,563,897,328,919,661,006,184,552,716,424,206,202,587,332,978,141,021,
219,942,019,838,342,849,198,204,709,471,332,847,666,501,006,136,047,443,605,
005,037,198,714,013,020,375,331,645,801,233,055,382,933,596,704,343,364,907,
979,082,440,584,309,986,092,659,238,906,597,835,285,299,600,651,022,614,665,
564,760,535,547,166,549,506,739,883,897,824,619,518,783,927,161,798,808,063,
956,405,036,883,683,812,112,953,102,214,091,839,890,398,119,792,119,187,334,
712,257,120,249,479,996,646,090,636,336,380,355,988,272,379,296,737,675,790,
170,445,451,769,420,396,669,756,149,382,135,949,727,683,019,464,152,174,529,
934,112,421,954,337,958,908,011,131,157,349,251,899,646,322,386,386,629,332,
804,982,711,286,751,537,405,854,158,416,720,798,171,342,048,913,769,315,137,
695,588,247,530,094,822,528,044,854,891,250,671,727,546,856,122,435,210,255,
955,132,512,121,704,121,999,480,416,065,990,802,354,787,457,974,757,753,140,
051,551,020,997,465,727,638,302,053,595,665,429,241,464,076,401,065,565,387,
029,297,028,756,965,283,222,388,178,705,112,626,691,010,553,474,855,374,742,
308,080,287,624,770,621,197,546,035,153,532,869,904,980,693,738,982,399,299,
712,095,895,863,234,246,866,512,215,789,998,259,461,903,173,252,186,374,521,
811,386,102,136,003,523,220,171,918,704,814,244,276,300,377,010,882,877,395,
114,297,959,372,978,338,752,847,325,780,650,682,611,310,395,634,825,128,233,
715,358,270,427,169,884,954,169,997,962,169,725,797,837,938,061,626,563,167,
634,086,621,739,594,801,887,541,651,252,057,392,348,036,939,025,302,304,147,
162,280,908,438,771,602,271,127,940,371,137,336,818,609,226,814,343,556,921,
347,324,083,774,695,055,969,855,662,695,075,264,921,485,968,607,662,429,433,
468,670,387,886,225,382,521,493,553,585,262,376,345,621,223,048,961,243,334,
985,811,178,432,307,947,825,381,383,325,289,017,634,911,554,066,734,298,681,
913,260,885,558,764,557,109,013,480,833,547,775,658,926,997,704,635,983,935,
003,947,558,162,359,560,568,741,925,036,646,983,756,125,049,350,991,326,508,
238,725,555,351,549,456,468,161,761,706,689,049,514,678,084,443,141,974,254,
972,800,163,649,306,909,525,329,149,666,406,109,145,514,171,277,350,115,880,
332,617,573,383,907,920,337,741,602,178,770,704,983,849,562,422,879,672,135,
149,882,226,911,044,567,950,751,947,746,071,748,791,919,875,224,483,764,588,
283,284,723,959,731,626,312,538,969,246,287,889,452,612,307,538,390,539,590,
821,654,242,196,790,615,984,678,389,804,239,017,725,071,049,878,342,149,867,
460,815,158,260,868,475,832,152,792,085,315,970,982,818,096,175,810,229,343,
819,191,896,808,949,731,941,043,910,784,305,372,925,182,808,733,222,776,977,
646,565,002,371,311,562,066,153,626,788,003,054,071,756,974,975,323,770,305,
824,073,286,883,642,299,033,687,848,095,537,624,946,933,180,725,491,596,630,
091,504,682,879,020,734,676,154,875,235,591,010,184,524,391,296,938,808,643,
348,438,737,868,700,596,659,798,074,037,467,418,492,809,604,293,775,073,900,
754,900,524,709,319,514,857,819,503,693,284,565,903,678,063,559,858,886,228,
198,024,722,100,455,881,570,831,050,971,242,052,366,851,564,102,938,119,123,
139,527,311,565,753,465,254,265,272,742,972,574,608,837,345,857,222,232,039,
944,905,162,072,064,802,801,440,687,336,807,551,315,031,231,305,202,031,662,
511,361,669,055,300,793,083,992,841,597,176,143,113,355,352,809,759,177,805,
632,241,718,092,622,835,081,419,009,165,948,238,427,017,097,823,788,489,816,
466,181,184,448,691,129,903,391,399,733,986,833,593,510,300,486,146,552,054,
984,313,968,659,883,093,197,833,268,109,825,821,621,595,828,261,233,403,978,
278,844,222,815,668,381,467,900,137,041,189,555,717,227,928,472,732,427,162,
788,426,853,254,035,532,772,994,705,300,912,218,004,105,222,714,673,130,572,
509,933,301,018,204,848,314,261,668,194,190,107,465,730,167,798,773,724,808,
784,869,982,371,300,852,709,964,814,982,788,448,389,024,255,082,345,178,518,
551,441,538,761,014,305,087,129,203,553,665,795,207,733,814,290,713,630,069,
911,065,795,094,828,535,102,642,000,029,567,934,308,248,120,274,178,335,707,
017,491,033,754,436,216,030,445,128,386,763,019,874,993,660,956,166,220,393,
509,580,526,764,733,254,113,232,364,518,949,627,699,900,267,102,400,510,067,
963,695,821,391,593,439,982,035,843,649,617,364,723,079,442,219,555,155,310,
050,467,711,910,917,853,859,388,645,425,364,689,544,112,769,962,080,128,134,
748,614,224,943,610,608,649,867,448,511,826,656,891,578,663,373,468,197,645,
757,803,565,910,937,853,774,779,138,768,097,901,184,021,204,087,482,298,351,
807,598,765,226,080,051,615,523,612,353,153,309,689,540,784,379,181,932,487,
903,060,300,715,974,148,835,344,327,452,611,477,816,138,251,918,985,342,656,
735,412,360,851,637,239,463,248,162,060,544,659,886,385,509,627,311,387,630,
546,716,675,454,103,937,774,643,333,917,049,748,858,015,930,723,335,506,315,
837,104,024,481,868,612,951,974,027,545,752,098,026,691,739,139,172,138,018,
372,754,557,279,316,607,717,294,720,625,785,438,806,130,047,976,250,856,328,
446,923,944,046,529,002,875,818,545,292,657,223,183,193,235,910,178,386,873,
391,072,816,020,681,048,285,491,335,451,740,699,912,187,990,376,339,860,755,
931,059,671,067,478,818,035,131,238,573,284,339,634,716,985,196,523,504,393,
543,537,412,764,166,538,254,291,213,691,934,779,664,099,358,585,502,529,930,
854,480,689,835,778,730,901,280,819,512,770,021,640,819,284,793,259,481,129,
739,734,820,605,404,388,652,943,431,291,890,848,528,000,674,364,921,524,736,
885,759,410,193,696,813,035,746,182,787,047,733,166,956,303,122,989,058,258,
941,366,068,833,927,762,178,624,892,238,155,130,295,046,035,385,956,900,284,
270,134,738,576,329,479,003,927,894,330,454,205,169,326,655,741,219,581,157,
250,320,502,959,104,283,246,924,571,219,547,737,398,363,886,875,107,452,289,
225,715,630,216,311,495,915,162,435,578,133,886,324,745,897,204,792,507,048,
573,385,842,104,434,775,973,207,571,722,565,908,981,117,165,293,055,767,687,
947,255,485,819,328,694,475,520,244,607,235,616,514,737,416,388,716,647,228,
746,162,817,202,212,555,666,166,757,122,199,798,205,734,311,382,131,378,429,
424,803,033,942,517,235,536,435,119,599,748,842,716,346,451,066,773,874,290,
344,842,913,796,864,173,167,262,467,444,432,435,256,029,942,352,576,506,288,
904,243,834,990,734,141,065,587,946,585,107,555,825,547,149,847,835,362,136,
275,644,725,024,059,757,534,020,597,939,104,810,793,067,718,959,191,420,640,
610,758,100,931,352,189,404,059,070,267,220,175,454,070,602,301,646,094,680,
066,982,474,080,272,009,043,911,053,264,097,243,884,178,437,982,197,063,018,
137,017,127,408,254,591,770,401,615,466,255,530,552,606,503,864,300,210,564,
691,442,853,775,125,836,228,523,735,770,658,502,491,959,935,174,587,311,244,
090,580,728,140,183,279,791,188,820,337,808,736,679,142,435,713,108,045,910,
384,922,597,308,935,824,037,011,340,780,927,461,269,974,041,353,959,363,867,
726,027,776,373,328,541,602,358,141,717,070,208,025,569,319,417,526,221,859,
164,563,783,660,025,587,533,037,850,261,171,717,794,314,004,137,120,471,308,
565,963,455,093,848,899,524,234,086,700,869,146,031,336,626,675,734,194,871,
705,346,247,053,604,266,085,358,320,489,815,367,494,279,542,628,124,805,881,
541,113,533,870,429,921,921,312,498,393,930,293,974,638,035,493,753,479,002,
446,769,626,769,771,516,376,784,326,070,653,831,521,978,834,797,893,533,033,
289,654,668,533,029,059,208,449,271,820,608,109,974,638,481,107,134,126,188,
812,351,376,363,088,626,911,856,029,425,660,838,472,219,232,981,765,857,912,
239,912,601,654,450,961,230,146,651,278,078,878,619,831,757,818,457,546,154,
390,513,516,559,756,100,378,421,770,608,606,590,023,640,808,111,124,792,091,
294,298,682,491,391,985,301,723,096,230,453,633,096,064,844,161,874,708,656,
382,247,661,819,509,291,479,767,919,474,628,848,206,518,699,408,309,658,186,
138,751,896,909,262,835,113,365,189,900,878,945,353,037,984,786,695,291,453,
166,281,483,235,728,350,868,132,674,574,630,836,572,644,471,669,354,012,707,
673,611,313,205,829,994,343,101,762,176,526,833,333,349,955,283,047,885,518,
332,202,223,690,345,814,396,899,742,601,822,571,091,924,064,027,628,049,256,
316,470,815,640,615,087,589,188,583,236,601,242,793,787,626,690,089,030,180,
837,011,114,628,634,861,959,813,205,031,940,509,955,926,618,561,623,213,672,
436,708,007,457,508,984,554,526,031,481,285,437,700,715,437,767,569,730,208,
794,653,776,167,396,595,042,722,982,464,958,704,159,636,120,236,284,933,260,
651,974,987,768,304,367,435,413,352,405,069,109,960,836,555,669,463,173,881,
994,735,068,273,400,829,838,446,930,785,688,502,122,190,645,047,115,741,326,
847,745,391,694,846,622,231,172,745,186,959,824,347,408,154,321,408,586,209,
425,129,329,755,568,816,191,817,905,099,583,583,183,480,177,617,069,115,402,
992,550,986,333,371,040,454,229,644,875,515,255,928,619,851,544,523,956,377,
302,677,406,094,730,972,918,401,580,742,417,618,796,267,384,873,925,525,357,
435,842,580,010,648,885,775,059,687,765,135,636,887,551,040,072,082,292,611,
979,455,169,907,924,118,431,978,756,960,615,025,142,295,990,944,101,570,479,
824,600,878,975,397,912,856,691,169,519,269,619,186,992,792,212,513,031,991,
841,250,687,999,425,621,075,765,448,588,027,201,037,838,203,892,463,496,932,
094,338,491,945,086,821,280,057,105,439,452,819,087,775,297,067,792,649,302,
475,096,997,366,101,543,868,096,395,470,085,509,085,657,122,680,021,371,564,
840,727,214,941,934,971,704,465,344,667,299,097,459,814,619,327,613,760,757,
833,671,630,566,740,092,534,283,304,849,146,275,926,495,245,294,247,454,865,
052,865,024,349,511,881,415,949,266,154,836,222,806,174,787,607,130,870,886,
895,088,351,386,558,871,749,214,263,071,988,992,253,224,575,616,178,552,955,
855,226,233,945,628,686,067,568,774,292,196,728,995,485,961,821,201,695,615,
986,694,178,174,240,255,909,216,999,520,043,096,710,183,463,668,292,733,660,
945,282,207,560,982,998,825,355,167,061,449,770,025,186,609,345,166,989,121,
122,533,651,460,182,598,018,974,411,149,655,992,990,648,081,312,311,611,821,
533,139,436,596,655,188,911,980,042,307,276,493,303,526,938,775,995,064,998,
116,147,751,201,878,282,904,204,359,053,050,978,545,845,486,187,024,443,461,
233,576,363,720,602,220,017,013,572,367,590,154,204,340,465,037,346,926,624,
658,042,289,915,889,249,751,652,415,941,041,220,728,820,270,371,835,582,490,
234,281,248,774,061,673,909,120,668,902,610,416,173,064,509,370,171,710,151,
320,922,645,114,124,164,304,424,580,421,302,862,367,184,353,394,767,240,501,
044,252,981,665,309,870,663,974,648,954,150,892,025,883,917,881,962,852,842,
725,343,648,692,295,622,252,438,169,444,720,899,258,898,840,531,464,414,488,
851,634,744,883,798,855,886,676,560,153,382,161,354,625,967,530,343,465,307,
429,788,512,979,038,200,990,054,703,536,045,014,837,963,846,398,638,307,485,
041,100,963,273,856,308,953,934,384,660,461,965,222,325,478,621,017,104,557,
819,755,199,809,802,321,047,696,839,799,772,556,685,419,563,688,378,166,371,
235,827,015,424,412,319,231,904,981,288,557,030,564,257,727,940,235,820,537,
169,311,152,869,506,382,346,925,087,934,891,054,450,009,452,211,284,389,576,
202,204,879,970,673,793,176,866,034,272,548,444,914,311,999,288,275,645,609,
970,731,808,301,986,281,877,970,826,138,846,038,203,621,792,657,316,775,471,
896,352,862,357,077,795,372,921,514,032,438,325,362,114,050,125,267,708,791,
732,145,369,456,269,754,800,670,417,020,229,582,633,510,693,542,035,109,087,
030,817,446,274,109,530,702,424,396,201,266,834,524,595,684,181,478,451,055,
052,419,995,775,085,166,026,795,167,030,595,537,928,716,049,968,826,884,658,
019,180,501,115,151,190,241,125,498,048,497,517,860,743,581,688,326,505,353,
781,608,277,746,567,544,020,701,950,748,448,285,661,856,554,934,242,547,204,
710,859,511,534,792,482,540,627,592,917,704,855,138,059,703,157,333,178,231,
530,742,128,266,107,329,272,512,703,430,061,505,747,061,037,808,625,619,452,
714,651,808,579,937,592,080,525,539,220,588,125,499,384,616,158,505,004,600,
209,084,499,978,880,987,964,603,996,273,368,739,493,616,771,359,011,930,254,
643,588,538,510,810,438,292,500,870,294,996,186,548,395,971,806,762,118,389,
117,075,431,365,614,693,306,056,650,238,025,414,171,391,110,658,498,952,829,
912,154,224,790,258,471,028,564,156,109,526,330,243,753,958,853,237,193,185,
483,289,465,801,685,044,240,319,850,184,066,672,916,617,428,772,170,018,581,
468,057,713,392,844,401,077,501,189,905,075,807,738,388,705,765,627,451,727,
848,189,858,639,215,369,155,110,379,730,514,541,210,253,144,394,875,408,665,
397,432,565,037,945,181,026,287,308,935,480,736,460,534,991,646,983,679,300,
970,423,144,387,541,233,824,244,157,630,629,800,711,363,499,632,680,139,423,
575,368,311,414,220,113,240,163,837,983,299,951,503,144,674,082,520,419,448,
624,599,418,685,676,198,806,862,364,830,015,855,627,664,188,209,385,152,271,
727,584,728,993,062,853,909,011,061,547,832,643,599,380,890,009,653,594,486,
067,100,712,965,532,255,520,217,986,377,618,060,376,868,540,130,497,683,341,
576,349,666,789,733,385,513,125,713,012,558,066,154,404,677,830,950,537,781,
501,051,821,576,594,877,290,327,308,166,303,985,974,047,972,498,910,945,206,
416,030,032,890,241,127,411,714,816,541,679,358,998,851,012,969,785,103,118,
658,717,735,628,777,717,427,857,116,117,476,107,319,583,932,435,257,678,853,
150,061,498,501,792,006,026,751,080,945,043,367,391,004,725,543,017,916,650,
429,732,594,370,570,345,460,421,042,641,937,623,922,276,321,661,536,972,811,
636,756,973,379,377,674,942,671,678,838,410,330,070,047,433,210,234,305,092,
335,973,752,438,131,007,949,805,382,981,133,118,021,309,219,462,072,087,985,
396,282,302,930,422,291,859,213,502,009,103,838,619,921,203,504,659,904,914,
938,430,244,141,545,203,960,464,188,749,166,722,112,038,942,835,631,290,760,
165,816,318,222,429,822,985,011,036,316,917,891,099,634,192,460,780,164,263,
083,860,620,760,506,483,163,111,667,059,561,089,528,217,563,911,710,480,224,
168,430,915,675,208,626,005,154,870,053,243,092,017,621,315,133,929,007,983,
279,581,701,983,314,982,624,233,510,467,589,575,748,888,583,790,458,563,427,
360,016,576,740,015,785,590,331,634,504,439,216,531,734,672,986,651,060,754,
721,557,131,060,173,459,059,450,629,842,674,215,233,911,451,793,252,207,751,
925,551,681,116,160,179,058,280,074,016,244,001,718,682,081,621,012,431,512,
379,837,939,211,531,778,102,119,318,273,703,385,668,749,926,020,260,345,886,
971,573,144,137,275,976,839,087,576,129,920,895,213,087,597,159,518,115,594,
199,245,386,344,711,940,425,702,574,799,606,143,055,209,706,194,909,553,245,
956,647,216,866,533,663,599,288,547,084,078,980,500,662,282,398,919,637,252,
285,186,145,193,710,784,698,011,838,007,603,122,283,217,684,968,563,089,120,
945,725,145,132,317,440,065,270,028,210,197,700,703,364,733,536,935,186,893,
917,678,628,449,367,864,759,427,508,812,547,685,074,472,964,908,633,027,073,
306,899,810,356,434,277,895,962,633,053,685,619,213,251,794,317,349,314,987,
937,035,710,457,102,467,537,367,682,790,437,835,598,747,005,723,022,685,809,
266,722,733,365,504,096,527,083,209,453,595,341,031,995,175,364,024,061,630,
564,050,145,775,371,905,651,918,631,931,703,722,361,404,430,743,722,483,717,
641,230,290,153,178,407,576,736,487,797,470,148,110,198,849,208,820,661,038,
920,044,595,323,051,069,099,144,772,696,208,808,762,725,910,245,815,932,969,
475,134,945,501,799,716,581,150,582,566,234,749,361,271,705,904,771,212,365,
122,073,164,518,760,686,788,046,830,228,307,408,343,102,641,480,561,261,652,
883,822,318,914,688,233,014,910,376,085,826,704,098,190,633,848,064,659,473,
596,547,273,412,003,692,591,814,709,765,019,482,666,999,732,351,618,160,977,
086,347,031,060,209,954,557,663,542,141,757,344,073,830,511,775,505,761,806,
028,268,664,768,244,987,015,614,161,877,993,053,134,688,701,646,403,353,216,
211,932,782,469,383,437,994,480,798,110,318,135,333,108,848,901,472,211,388,
401,289,200,296,029,553,733,402,799,072,801,645,540,867,786,293,519,729,729,
878,696,366,512,313,058,896,605,874,561,627,634,106,187,573,588,656,418,545,
823,568,464,520,975,890,898,294,282,565,245,127,010,773,199,146,445,583,215,
019,375,701,140,401,657,749,166,215,023,760,881,009,686,998,840,097,905,118,
745,372,781,478,133,048,090,000,399,431,258,290,400,572,319,917,405,534,910,
926,477,859,474,074,402,102,886,982,171,951,243,991,247,930,112,330,490,808,
505,661,936,909,520,872,647,750,819,453,695,473,799,761,953,152,973,456,420,
722,382,626,113,700,258,004,641,652,820,145,116,588,519,683,410,034,626,002,
685,777,465,629,941,550,755,136,440,885,843,878,758,771,754,110,084,101,073,
716,925,237,503,712,217,940,094,826,497,704,543,081,330,420,887,755,328,872,
039,351,002,783,356,089,420,812,070,523,472,860,268,022,630,282,431,568,340,
504,807,892,314,804,837,217,183,513,201,209,422,586,407,100,003,159,592,865,
620,571,907,326,005,635,602,548,042,824,009,592,804,354,448,061,425,505,607,
376,631,490,252,634,455,048,068,523,129,273,907,778,378,526,484,923,351,214,
643,210,867,126,888,399,817,958,846,194,572,833,643,177,540,723,949,910,800,
879,945,453,973,260,072,153,553,085,377,964,934,531,374,692,006,601,161,530,
495,962,858,654,524,695,481,858,448,407,707,403,984,968,768,894,646,566,703,
299,511,379,862,702,239,615,371,617,824,493,638,947,549,776,926,049,920,569,
831,047,707,214,445,119,468,742,398,832,757,654,214,433,479,888,008,280,221,
381,448,813,311,953,298,104,257,461,028,558,611,666,830,553,810,367,321,016,
196,575,710,370,581,264,893,029,621,733,120,048,485,847,635,166,343,308,202,
678,015,689,851,034,663,662,943,031,287,062,124,966,219,996,139,456,973,330,
933,544,439,352,233,523,047,442,590,527,563,397,587,331,680,000,466,854,967,
983,990,993,652,041,153,398,649,938,559,252,289,029,176,752,223,021,124,988,
794,058,033,958,172,430,829,452,922,030,683,253,985,624,950,016,648,216,830,
869,996,004,062,608,097,355,810,619,014,731,082,608,864,109,560,732,463,506,
565,175,445,334,328,851,068,957,217,763,136,164,729,313,441,407,953,167,446,
082,574,597,189,753,064,620,544,788,247,488,427,052,653,557,636,751,493,065,
603,500,235,594,723,235,942,645,616,660,787,449,955,448,170,136,068,475,913,
435,516,410,851,454,044,131,571,457,638,318,447,419,866,432,675,966,477,395,
331,766,673,348,055,330,255,948,938,062,461,565,816,879,405,752,749,854,475,
601,971,606,956,547,164,696,875,474,993,449,685,150,812,120,263,839,361,910,
582,907,859,108,142,928,655,236,450,526,455,738,594,938,635,158,408,241,632,
629,865,980,618,793,134,988,113,770,475,305,645,678,536,795,489,870,366,708,
337,959,300,246,137,626,916,763,663,605,447,823,347,188,822,794,708,595,295,
977,698,384,944,934,802,664,944,624,686,603,087,561,600,661,363,117,395,586,
832,575,643,922,086,263,350,456,758,340,312,554,146,714,800,904,587,628,501,
821,388,327,607,241,896,864,502,828,398,720,082,208,202,308,414,298,449,990,
970,922,334,502,524,161,601,565,939,336,734,388,549,651,643,740,213,593,314,
458,637,527,847,725,589,587,004,245,496,303,443,523,561,378,825,670,277,400,
542,795,338,621,275,078,263,724,524,960,292,753,142,652,295,214,334,400,723,
017,114,569,066,579,362,099,622,124,428,119,481,875,231,680,289,809,488,924,
223,558,894,267,000,016,578,150,104,215,357,162,393,751,816,014,467,179,621,
214,887,347,674,196,186,805,861,788,556,168,074,032,318,858,323,958,907,293,
538,905,630,682,572,214,159,127,182,848,901,246,514,671,436,293,957,299,570,
071,938,748,977,320,325,880,279,201,759,604,105,805,195,357,330,022,063,510,
911,362,560,942,534,930,309,532,639,637,816,243,380,494,591,423,317,048,060,
274,338,165,272,431,256,055,396,923,257,123,751,134,893,399,370,579,654,462,
262,138,915,909,847,955,164,511,576,431,898,675,430,181,046,292,906,441,493,
854,256,613,523,021,318,406,178,708,892,701,406,123,523,454,270,944,121,407,
827,885,741,128,078,817,989,800,923,279,070,214,441,960,312,919,061,322,424,
490,069,120,288,621,167,016,206,006,340,741,738,490,790,633,093,146,850,877,
636,035,717,293,325,102,716,163,138,518,804,489,773,899,965,490,518,340,637,
268,340,477,992,497,965,860,332,834,714,650,745,749,804,371,050,976,759,651,
077,578,928,457,125,143,896,002,219,158,787,512,410,661,807,137,509,466,662,
858,609,869,335,338,179,314,941,346,782,217,587,637,643,111,840,799,967,686,
091,202,616,890,650,959,463,630,669,968,310,076,613,012,660,553,454,388,650,
072,561,878,324,804,471,659,170,950,527,009,530,672,895,688,551,750,168,353,
925,931,134,258,103,021,102,611,925,939,452,764,444,395,700,791,387,992,582,
209,623,100,561,856,449,544,922,366,078,802,237,015,786,152,489,487,470,346,
303,064,199,158,440,957,154,359,225,175,508,533,399,004,209,549,404,624,375,
465,257,685,123,210,846,395,741,062,818,520,112,318,164,920,355,986,662,734,
072,818,617,191,748,641,325,183,801,139,488,426,007,682,421,510,309,671,818,
398,331,225,797,797,350,962,231,036,046,002,324,627,420,195,597,433,136,819,
132,485,096,401,227,265,237,053,792,364,010,812,489,410,564,888,620,498,221,
511,418,988,658,321,642,823,293,731,943,073,297,853,151,203,507,867,636,175,
780,190,817,828,178,611,722,247,180,243,674,119,132,598,278,098,036,125,927,
189,177,111,400,823,039,624,286,955,335,635,409,184,090,340,254,675,262,189,
676,813,994,623,839,616,414,570,124,628,733,805,150,866,965,936,639,264,301,
875,236,565,624,963,751,565,079,579,437,444,919,012,206,268,287,363,117,476,
446,638,359,838,937,520,792,274,762,880,797,814,727,269,580,188,666,824,822,
252,014,240,732,498,384,328,126,415,510,798,432,432,576,471,772,807,720,908,
908,141,768,030,176,926,474,409,100,635,812,185,800,663,546,636,623,018,521,
358,614,481,485,990,563,482,504,291,195,304,229,078,837,835,421,711,035,381,
283,154,346,817,666,755,184,223,522,511,729,010,989,146,745,611,783,570,974,
857,131,189,205,070,616,989,241,768,487,289,984,861,353,301,041,318,944,423,
425,624,984,677,055,421,434,834,897,151,432,331,062,812,717,420,232,330,297,
532,050,783,436,708,550,766,298,387,003,640,124,006,132,632,317,357,329,708,
438,423,069,565,764,355,027,336,214,366,343,495,350,228,171,133,643,536,929,
066,194,532,665,425,325,290,954,560,438,741,872,578,414,763,889,616,326,380,
226,165,200,948,659,347,439,308,389,108,675,857,827,123,514,430,527,253,102,
805,572,515,846,247,289,255,197,835,278,407,671,217,329,781,324,486,266,105,
484,134,380,803,448,031,939,114,455,879,219,095,490,607,480,723,107,326,332,
217,275,445,293,269,589,081,553,852,289,326,098,581,421,504,481,487,170,741,
838,769,692,494,665,049,239,399,061,357,839,370,462,892,321,555,422,851,431,
398,797,107,154,497,932,386,247,094,529,276,072,700,572,159,860,725,170,981,
242,071,247,464,617,418,319,440,226,668,924,933,277,908,661,591,037,790,629,
495,898,146,757,828,572,874,094,788,557,137,082,568,464,191,792,554,883,856,
735,213,633,802,751,802,941,435,706,176,695,037,633,425,247,427,289,935,226,
988,754,429,466,211,533,697,431,716,357,131,921,006,510,812,707,469,922,950,
974,140,945,992,667,019,731,997,864,187,218,087,740,972,724,831,647,607,054,
339,949,242,494,645,721,998,987,997,982,964,245,030,941,319,550,787,893,741,
916,691,363,595,920,094,027,833,221,599,099,304,477,552,965,808,615,798,866,
508,934,065,472,079,916,953,360,266,447,209,927,569,879,437,393,283,964,482,
082,328,701,404,792,699,392,202,309,888,297,338,821,594,768,594,957,460,667,
704,361,481,815,772,857,238,355,895,184,668,181,876,497,723,563,241,805,020,
482,500,231,637,979,520,884,845,772,487,163,550,748,839,105,619,474,325,504,
510,177,116,640,619,543,469,250,655,841,253,154,625,199,102,641,250,433,163,
856,790,577,596,996,992,143,137,131,390,334,625,796,819,460,075,921,820,295,
865,332,493,476,872,410,764,404,334,214,165,357,025,434,965,636,872,864,699,
305,625,065,700,875,632,329,845,274,996,014,219,813,767,679,666,487,023,539,
034,840,488,087,098,283,994,590,248,330,188,298,410,648,223,624,657,045,660,
102,682,685,509,742,156,286,205,177,942,156,953,313,794,188,151,528,542,722,
790,437,448,102,180,272,915,906,165,478,239,691,400,082,773,506,500,798,630,
422,697,932,057,914,037,851,830,682,591,866,945,547,023,424,245,190,705,387,
184,161,571,067,026,209,426,537,100,167,281,696,965,592,661,476,316,394,434,
171,672,390,646,952,937,921,858,669,133,921,301,334,384,232,144,692,439,935,
054,307,950,897,260,799,946,776,070,006,828,239,371,771,634,964,824,394,890,
949,069,102,975,010,913,279,164,660,855,517,137,139,394,503,409,659,689,400,
173,789,481,771,122,495,413,557,979,681,159,786,688,870,459,389,736,737,824,
096,189,641,077,297,013,623,752,448,911,044,266,903,060,976,255,973,626,452,
063,202,047,538,534,021,380,212,327,025,847,068,662,264,659,089,513,025,665,
477,404,180,474,763,123,084,842,848,640,841,726,660,609,726,050,351,997,220,
143,482,600,752,068,871,833,226,035,500,347,996,427,424,965,781,005,704,983,
282,281,573,300,009,973,214,366,527,425,765,337,439,500,880,494,634,706,438,
342,124,514,933,733,067,805,137,085,511,835,053,563,345,255,884,675,818,772,
232,974,714,360,249,794,942,996,456,769,117,006,357,762,062,972,823,282,479,
654,221,605,818,263,293,902,902,853,687,687,512,647,046,134,109,608,528,788,
103,376,075,736,865,017,921,387,016,486,502,942,993,160,162,807,054,373,011,
006,395,747,930,890,568,058,563,028,262,179,960,589,516,852,425,506,731,619,
131,785,473,738,414,166,598,124,274,030,699,647,007,934,673,440,249,824,751,
535,261,888,727,621,688,190,330,214,593,710,700,411,622,874,876,509,459,033,
798,930,298,353,043,998,802,503,632,833,897,177,213,552,581,479,789,440,127,
801,050,502,160,756,155,981,716,175,967,319,255,227,537,442,977,895,066,581,
704,994,997,485,163,431,834,552,210,434,788,468,929,924,170,645,601,507,773,
820,262,238,732,742,287,647,264,532,323,318,944,503,771,800,313,248,565,533,
411,995,079,092,425,606,938,534,858,243,551,458,362,752,833,527,446,045,826,
454,541,258,571,322,374,243,493,187,037,125,502,658,300,616,962,993,312,595,
505,664,268,226,155,280,366,075,791,636,054,026,232,688,262,740,480,867,676,
505,275,881,173,845,675,953,486,843,065,645,803,090,498,576,023,780,428,501,
264,429,927,568,485,542,742,304,864,189,588,630,664,979,366,431,470,161,430,
581,302,517,293,976,030,536,870,178,963,552,226,268,675,414,159,871,759,496,
530,791,734,859,175,252,217,476,502,405,189,522,354,516,395,855,315,988,857,
737,125,869,714,123,871,702,588,622,579,186,087,200,861,385,636,278,434,248,
641,166,583,984,796,396,517,212,834,427,619,009,144,523,254,278,448,383,097,
593,295,922,811,662,387,449,380,026,259,201,928,709,356,528,685,026,958,372,
944,121,788,757,528,932,153,794,367,824,138,764,646,223,992,562,551,444,788,
133,125,630,821,155,163,298,851,168,034,589,264,670,912,044,820,185,907,384,
132,848,892,459,006,106,732,168,001,633,145,517,531,148,668,141,487,361,378,
176,757,873,370,987,909,720,127,666,149,386,848,177,751,359,871,540,731,287,
037,808,714,667,902,176,214,767,448,408,253,254,725,912,572,738,720,231,135,
484,232,091,727,885,316,193,572,652,025,992,909,184,668,047,028,129,832,909,
181,539,746,754,266,013,484,754,819,010,386,812,292,504,317,259,699,812,573,
369,822,515,568,833,688,140,020,019,141,058,308,363,651,104,776,607,562,059,
832,820,455,746,556,845,749,455,374,685,796,134,835,031,413,747,756,438,850,
589,870,114,835,846,290,559,869,520,884,684,561,477,710,811,527,922,303,012,
502,407,999,756,691,285,201,564,926,616,326,277,036,897,183,883,172,921,953,
767,664,434,626,620,023,900,057,152,055,197,581,284,111,973,456,089,449,808,
553,986,108,537,397,760,715,129,492,050,133,956,562,746,605,636,684,016,490,
432,976,668,268,784,462,160,450,435,618,092,735,007,295,184,972,283,012,744,
553,156,467,568,041,304,527,604,068,432,879,675,431,170,616,296,351,395,506,
863,300,138,234,609,398,340,134,683,698,711,266,959,768,438,372,236,343,535,
271,358,373,038,673,792,283,145,896,080,608,044,894,430,544,528,283,079,763,
575,926,373,830,636,067,527,540,299,004,165,601,575,800,424,703,178,162,475,
052,081,415,017,547,126,335,822,477,442,062,474,193,558,987,698,982,900,210,
590,130,920,751,611,185,260,387,663,628,681,285,569,128,328,059,087,408,889,
317,778,137,988,004,950,693,475,698,748,761,044,369,238,247,916,755,675,418,
505,186,449,195,119,052,426,239,193,584,795,793,768,470,603,405,795,214,323,
927,939,343,307,854,571,531,925,414,876,215,982,151,439,686,684,563,469,367,
724,793,900,157,654,091,913,349,769,784,288,669,725,164,568,803,905,165,016,
591,637,277,281,075,899,619,350,250,082,042,612,101,550,424,871,391,833,218,
986,318,534,813,051,966,146,561,989,735,610,030,299,411,330,898,883,649,243,
315,063,527,832,299,397,810,788,659,447,940,817,705,602,334,044,216,028,969,
676,447,179,294,595,362,711,842,950,702,507,345,299,665,960,905,773,397,789,
382,972,532,640,523,963,673,689,300,330,265,443,018,021,876,828,913,826,843,
328,318,675,428,385,114,824,324,874,649,251,447,593,933,717,727,870,545,490,
134,078,270,935,280,983,672,417,706,173,744,962,240,011,985,952,371,019,915,
857,369,721,077,644,131,644,199,855,992,717,201,985,542,993,648,960,407,430,
795,416,579,355,319,614,181,418,110,029,807,709,548,581,728,943,308,373,080,
495,979,585,067,514,929,667,871,792,959,692,305,574,172,893,550,641,910,007,
146,086,170,847,095,247,489,737,546,838,165,117,881,597,506,484,852,149,549,
768,383,631,528,483,143,103,567,982,982,510,133,607,395,045,284,831,127,889,
717,296,152,571,661,432,978,432,659,250,655,595,064,078,727,633,631,422,710,
218,945,016,876,190,041,406,296,758,177,725,155,087,472,527,173,408,585,140,
609,524,349,047,154,594,316,451,152,515,003,865,017,145,988,297,294,020,575,
471,187,442,112,359,142,549,354,701,112,235,158,752,102,532,542,242,595,466,
026,346,930,441,138,088,108,846,625,025,169,444,988,140,036,581,802,021,966,
798,468,519,805,503,912,684,276,257,068,640,767,300,896,238,351,601,720,286,
746,153,122,923,111,645,751,538,647,705,041,743,681,519,219,298,729,284,904,
065,441,150,124,231,401,593,422,718,668,732,528,637,146,001,108,283,541,755,
838,347,991,596,001,232,135,568,712,767,405,976,112,599,657,468,948,544,622,
089,744,542,240,573,943,333,331,500,296,005,197,105,423,087,039,141,725,656,
785,653,543,877,003,436,757,480,717,514,834,778,045,924,281,642,088,078,224,
526,018,749,759,083,114,306,354,075,175,255,358,163,859,566,379,639,582,149,
370,411,975,232,677,333,386,664,126,863,702,536,861,611,317,827,375,458,271,
979,658,167,913,029,402,362,015,921,609,739,608,939,048,319,253,945,842,838,
572,855,095,037,129,384,781,823,679,469,628,706,464,748,525,743,631,237,091,
243,945,336,910,106,501,108,492,729,329,170,216,395,310,989,698,840,870,467,
049,188,771,334,948,478,351,378,763,296,275,407,527,182,060,008,593,191,378,
825,809,967,437,117,269,496,799,793,682,707,188,733,737,211,965,481,490,634,
873,505,014,739,482,874,161,609,536,689,956,666,018,644,371,904,114,018,441,
374,429,095,906,546,721,534,962,001,785,243,437,247,132,494,226,374,640,299,
632,026,850,480,296,556,962,932,799,865,118,749,603,808,083,706,403,573,090,
653,461,772,475,859,647,716,952,562,407,401,734,459,345,474,255,610,438,336,
022,455,347,582,685,596,235,747,791,439,457,819,525,404,142,162,387,642,637,
744,516,368,033,153,256,245,523,076,337,307,054,963,168,661,499,189,080,557,
427,889,718,463,974,054,013,892,628,995,999,046,876,304,557,705,671,273,914,
193,034,464,128,604,140,430,350,865,583,937,744,262,079,000,299,292,360,432,
723,721,985,993,620,962,853,210,684,904,594,666,856,031,267,399,266,890,484,
598,167,597,707,230,947,916,782,269,549,208,948,254,944,331,124,890,427,583,
097,630,506,970,176,779,955,335,735,013,787,099,838,208,890,404,705,339,427,
799,069,212,184,022,289,160,523,024,854,271,858,603,152,319,262,299,901,603,
060,540,622,687,152,471,497,960,714,172,380,229,426,679,527,030,876,720,426,
022,018,974,348,713,702,342,151,443,037,429,166,163,018,104,762,178,224,976,
099,636,060,002,750,061,436,149,998,115,009,558,651,764,475,703,338,984,556,
475,266,693,815,988,631,593,829,682,509,124,908,454,119,485,912,291,875,571,
938,614,638,653,989,780,429,883,294,004,927,858,210,020,469,040,098,934,668,
987,829,563,188,008,983,090,752,392,010,503,149,695,528,771,900,560,514,421,
269,530,899,363,074,883,259,979,351,729,942,478,788,445,654,785,812,783,402,
985,679,642,101,738,463,364,088,241,269,725,733,920,935,464,911,369,916,374,
559,275,193,933,642,191,858,939,824,187,067,703,198,058,432,435,259,925,359,
199,384,979,642,357,555,560,329,239,734,893,862,895,957,632,544,475,153,247,
014,055,450,106,922,831,511,003,399,485,885,885,604,521,894,261,968,657,006,
338,303,827,161,865,123,334,467,627,170,846,401,526,799,166,515,202,047,514,
838,597,250,870,491,891,717,985,632,648,471,898,686,350,788,949,888,823,046,
273,127,075,567,275,780,625,790,221,063,610,970,218,044,233,400,114,299,967,
112,248,787,644,757,672,132,647,200,198,048,748,388,936,221,568,278,206,536,
163,557,956,886,095,360,602,429,505,845,907,095,538,050,559,907,857,296,720,
388,359,225,537,951,315,708,048,411,196,942,851,299,038,730,247,929,307,945,
803,354,674,865,637,591,001,921,193,613,974,796,961,453,028,872,346,167,126,
765,208,820,144,118,746,049,159,045,669,225,984,993,929,814,741,379,698,968,
645,308,495,632,521,628,822,012,137,158,012,792,718,587,096,029,999,228,426,
642,155,468,066,703,092,430,309,246,859,475,172,062,689,276,839,058,310,453,
965,225,895,248,465,029,319,681,450,857,251,845,295,812,151,600,584,955,076,
095,444,664,406,099,427,954,997,028,641,567,625,370,696,007,352,979,089,158,
269,250,230,916,397,601,452,035,408,081,632,592,682,536,018,970,796,339,050,
306,937,134,720,079,939,761,453,161,759,111,732,587,486,690,765,549,859,993,
067,463,332,542,150,326,376,490,448,573,574,844,525,223,746,427,197,244,598,
338,266,811,069,683,977,337,182,932,110,255,981,292,019,286,451,990,307,151,
917,762,699,808,296,185,641,067,655,604,225,025,181,266,735,543,663,093,169,
415,900,118,962,013,378,166,952,725,888,900,209,129,828,859,234,627,406,069,
909,211,630,025,802,271,135,814,911,146,530,600,870,475,038,746,771,172,568,
416,760,632,929,633,756,484,558,457,161,883,764,183,024,944,378,122,415,518,
327,153,585,693,695,306,238,616,067,738,714,465,806,934,168,917,644,810,995,
591,662,813,370,110,040,331,182,380,295,013,138,441,119,276,930,381,375,798,
471,509,872,171,917,856,895,881,544,282,327,815,846,660,490,073,244,473,043,
818,772,502,980,357,471,037,383,423,363,751,727,404,371,111,479,010,043,561,
181,347,043,784,018,863,035,049,154,780,631,116,838,578,647,728,773,274,223,
974,365,474,065,927,703,456,314,230,209,372,473,196,694,026,405,994,654,279,
225,388,749,150,970,131,042,203,753,473,501,815,266,465,040,856,369,433,397,
020,742,232,258,739,453,255,358,572,443,302,294,023,987,417,188,489,874,033,
113,788,098,095,963,072,830,831,333,005,702,942,389,025,061,442,885,693,937,
551,622,624,773,075,095,718,139,312,617,480,221,366,645,750,136,489,836,245,
719,213,081,953,271,901,465,142,736,282,847,137,488,112,885,646,118,737,723,
722,314,033,821,237,811,779,946,736,386,759,579,155,037,773,245,700,029,886,
880,703,186,633,150,817,349,192,897,321,212,882,328,627,780,982,484,167,930,
769,591,953,946,970,229,512,009,360,128,951,786,053,785,505,124,293,446,585,
759,743,026,311,655,581,091,208,883,727,748,826,702,959,176,974,519,373,267,
550,191,380,512,554,839,006,998,952,511,991,135,101,939,232,344,564,243,937,
119,616,527,894,596,486,962,421,129,459,571,179,603,941,019,394,427,341,531,
733,148,348,885,699,958,695,012,110,403,368,935,598,130,905,729,487,561,024,
264,250,712,230,391,110,889,921,107,423,293,177,059,815,559,333,545,684,832,
825,266,926,307,023,548,056,198,926,004,891,047,383,787,686,594,028,731,795,
948,441,579,890,722,018,861,393,325,288,199,996,974,437,889,399,828,150,452,
539,723,193,356,326,467,077,627,355,163,072,344,050,601,707,812,778,363,373,
926,596,963,927,179,056,570,218,889,583,968,142,018,302,016,938,305,713,660,
978,506,369,724,454,163,733,255,278,390,312,659,555,391,125,056,124,370,250,
917,223,778,482,037,811,395,725,213,737,093,623,074,703,746,826,861,437,480,
512,922,894,465,590,931,309,793,809,074,688,380,122,573,788,522,418,831,866,
430,676,639,993,715,000,947,748,273,326,251,106,459,658,749,374,631,405,431,
374,741,887,524,831,324,183,611,476,626,029,143,139,115,799,574,696,373,861,
879,499,247,610,841,626,397,918,291,107,000,194,304,743,169,651,196,698,983,
901,943,277,257,968,261,678,287,140,379,764,592,059,535,223,914,026,910,616,
696,750,598,404,478,372,512,752,120,484,492,969,234,632,282,101,350,244,503,
310,246,692,190,815,495,073,076,214,434,058,781,015,270,231,034,856,085,088,
048,429,816,955,589,566,647,765,591,067,939,086,163,181,250,289,312,435,119,
485,096,599,699,238,494,530,384,693,512,047,803,539,264,385,344,141,604,046,
789,588,653,941,281,013,015,491,626,924,112,518,483,243,479,460,530,246,495,
448,584,535,903,221,280,985,068,521,342,595,161,089,585,212,615,605,019,461,
307,093,714,428,732,667,609,203,302,378,777,719,757,861,715,979,061,267,794,
287,172,318,676,296,487,889,455,746,343,716,402,219,005,285,034,762,294,671,
080,903,663,410,953,076,829,582,731,319,005,365,439,117,148,031,461,703,089,
436,375,925,497,603,722,948,462,155,488,057,412,563,799,845,914,407,430,755,
356,039,336,296,439,623,754,016,976,710,898,882,667,471,789,211,851,572,406,
782,627,772,128,632,574,003,950,713,105,164,292,533,891,783,392,395,751,354,
696,815,701,268,511,263,615,266,379,128,355,859,247,532,935,434,616,046,988,
232,637,899,180,612,384,163,952,349,374,473,923,248,808,643,004,367,910,916,
791,935,620,485,002,030,712,832,583,002,430,032,289,973,154,744,569,743,090,
008,503,988,575,704,716,250,088,689,831,610,800,179,978,070,786,790,646,618,
463,860,855,752,013,707,540,509,433,497,360,065,515,963,329,887,093,226,567,
855,005,770,413,267,081,998,827,687,878,237,002,423,532,395,348,687,010,331,
762,103,156,357,610,268,824,198,974,047,821,413,817,557,816,990,503,670,974,
912,420,046,055,691,567,886,479,531,538,183,149,043,129,154,614,440,198,948,
350,730,991,777,223,501,245,027,168,771,452,123,215,397,075,700,746,260,189,
400,970,683,320,591,153,722,939,048,432,685,409,627,531,689,112,181,821,029,
051,609,555,092,842,392,350,170,630,371,311,309,560,362,849,183,468,610,989,
834,040,035,543,197,413,089,201,008,763,851,399,277,798,434,877,749,065,396,
476,325,913,922,727,682,561,667,267,864,073,282,540,436,796,656,284,759,083,
705,857,301,795,576,999,278,936,748,275,660,095,831,795,904,009,715,553,893,
287,714,793,175,033,476,470,207,888,993,574,221,411,537,760,135,280,795,490,
140,671,710,462,765,922,100,918,014,281,664,022,522,856,827,912,263,355,462,
521,394,665,956,304,442,467,382,011,070,043,487,259,208,080,287,588,225,889,
869,451,708,536,583,819,447,329,803,777,237,106,025,088,007,319,441,962,412,
926,649,178,927,210,853,913,784,888,956,322,161,194,743,797,275,607,786,987,
681,289,838,815,518,600,499,313,020,845,172,207,795,392,851,805,330,047,337,
238,062,319,518,946,362,018,410,042,671,817,842,376,134,694,594,213,720,418,
482,534,831,086,557,270,218,914,801,249,220,950,480,052,332,846,525,717,645,
689,157,055,917,773,566,269,712,670,406,442,367,059,417,199,112,835,241,612,
419,408,367,849,981,706,632,539,684,578,071,115,794,062,462,282,508,521,958,
198,485,046,889,201,287,088,392,158,705,051,129,512,536,088,359,919,601,786,
345,659,708,192,127,305,348,279,685,012,942,589,944,103,834,880,209,689,351,
509,251,977,960,792,894,887,897,552,508,731,105,204,632,491,820,192,355,275,
241,480,958,931,752,424,689,284,477,095,937,067,452,258,350,343,750,966,264,
753,654,441,564,796,146,255,554,626,564,292,715,250,799,109,259,381,365,257,
546,814,036,075,854,185,094,044,651,285,809,176,456,947,955,379,852,769,659,
283,523,758,578,432,323,322,965,630,236,799,002,365,944,238,157,414,814,198,
494,490,515,378,699,959,567,223,316,493,087,314,608,773,197,324,123,850,698,
656,345,706,410,727,245,763,350,688,015,116,027,523,658,862,384,279,026,745,
257,950,595,085,726,317,914,790,362,220,012,221,697,452,408,027,471,637,188,
130,904,834,763,087,258,947,076,968,513,498,132,219,362,855,737,137,137,619,
059,770,839,632,484,713,972,425,293,265,168,076,104,172,714,432,621,111,856,
491,197,914,143,681,593,267,041,614,295,217,232,018,539,483,443,274,709,909,
192,844,548,150,050,237,193,891,755,034,594,248,416,406,521,044,735,782,765,
882,191,062,181,705,454,444,656,253,755,546,196,910,214,646,683,056,024,308,
654,086,863,362,865,001,837,596,970,567,677,913,961,328,094,261,781,166,010,
556,789,776,074,647,479,577,797,757,295,546,226,573,771,500,662,859,230,907,
059,260,051,643,527,158,022,257,215,561,178,407,422,006,695,502,589,853,662,
931,626,109,659,670,596,836,052,924,197,817,897,781,586,239,577,536,940,190,
815,062,879,546,425,274,891,641,463,534,345,363,159,486,188,284,574,989,927,
174,004,043,469,572,518,670,108,140,622,001,562,453,159,592,847,070,300,930,
077,095,429,522,406,532,833,783,135,376,773,223,489,861,210,613,204,714,063,
752,778,222,337,682,971,780,247,489,415,581,742,559,613,689,169,455,249,199,
817,048,609,188,300,191,242,274,960,859,571,812,984,347,106,943,396,638,017,
557,504,107,476,654,214,466,743,442,844,905,590,066,350,650,343,237,990,153,
623,161,288,676,837,565,161,149,536,210,505,637,901,249,595,278,550,862,427,
674,065,105,872,021,352,581,013,365,007,164,280,627,194,494,564,564,438,936,
617,017,208,061,058,386,959,521,301,733,654,843,470,845,172,893,310,543,631,
450,741,007,685,299,751,581,545,801,111,544,321,202,035,836,205,205,546,273,
345,931,417,579,599,879,072,070,697,895,773,606,006,841,795,194,073,571,715,
756,709,767,539,836,951,853,587,543,458,073,201,776,440,163,776,766,907,665,
386,318,501,302,003,804,642,062,219,677,171,539,294,227,925,336,779,403,571,
587,989,925,120,818,554,789,400,826,920,418,119,755,307,395,237,683,640,490,
811,645,706,457,174,009,295,047,011,796,318,981,374,587,950,701,512,418,549,
669,277,303,539,165,098,911,173,065,287,543,049,268,293,587,111,351,329,209,
461,205,511,854,700,992,913,722,070,111,400,393,559,217,473,262,285,225,924,
381,399,059,063,073,478,030,777,248,868,670,435,443,657,784,790,531,940,670,
938,569,305,081,536,638,500,808,121,458,600,442,597,499,223,569,975,444,612,
706,781,837,061,790,347,051,468,071,042,402,034,863,112,262,144,866,708,012,
439,729,756,983,133,989,597,245,756,399,832,343,560,795,882,191,277,763,652,
691,923,804,638,544,390,454,041,382,598,826,588,402,802,317,680,935,010,113,
757,940,132,904,635,032,492,830,302,537,963,485,513,028,971,668,792,326,149,
769,928,385,485,908,729,225,446,396,925,003,444,177,534,256,413,121,157,896,
763,864,608,281,128,687,521,134,108,576,853,494,605,395,428,492,625,752,156,
309,528,243,495,780,437,232,264,333,893,168,099,731,562,035,311,325,080,340,
821,729,993,129,497,374,950,691,311,928,094,711,278,095,606,247,706,044,673,
991,686,944,592,715,397,421,561,170,809,182,902,853,237,984,198,187,231,272,
200,714,407,647,056,340,135,439,141,773,081,801,283,588,767,709,603,170,028,
774,533,579,095,195,424,733,960,615,212,368,009,492,616,231,554,767,747,263,
679,095,654,891,397,517,466,917,279,194,800,871,678,958,529,593,724,172,380,
838,820,818,020,665,073,160,552,103,588,335,489,811,934,975,222,998,412,217,
918,794,359,631,542,834,107,834,150,033,804,869,942,782,005,592,333,869,543,
329,868,968,449,673,196,272,177,311,464,491,789,153,645,497,985,381,167,634,
538,378,228,331,653,687,382,340,549,700,700,927,477,298,216,026,055,117,938,
930,187,110,508,452,149,798,441,241,210,562,712,333,013,774,820,767,443,862,
208,372,885,056,457,260,896,373,720,979,449,338,303,739,189,847,160,425,687,
610,059,338,807,558,916,025,793,226,873,840,407,163,324,856,704,355,197,117,
525,464,096,277,508,260,354,173,807,653,368,844,294,657,503,959,758,651,574,
004,004,480,651,416,815,119,220,968,542,458,667,871,082,167,310,811,242,450,
874,856,896,608,634,289,130,471,257,042,318,799,474,778,429,903,587,808,719,
828,645,073,258,288,836,183,382,486,809,583,932,974,218,178,864,502,579,915,
436,481,010,555,892,305,852,832,039,254,005,938,529,160,532,596,177,911,374,
947,826,787,078,115,618,474,676,747,166,204,894,649,221,579,573,696,266,077,
984,897,759,109,401,850,178,394,158,068,138,407,231,723,711,511,674,622,622,
031,688,107,915,152,069,153,437,984,544,979,147,699,159,865,502,239,680,469,
440,987,940,868,325,374,216,402,751,331,733,382,938,836,751,977,303,157,824,
424,770,273,991,485,748,481,248,365,111,116,786,789,985,287,738,317,395,728,
882,684,660,192,453,667,175,840,144,085,230,333,708,789,264,521,095,921,258,
533,071,690,960,241,890,891,528,809,837,764,268,182,356,011,896,406,391,357,
852,099,746,871,283,892,049,888,047,408,271,083,787,402,839,970,322,989,533,
497,287,642,178,668,375,734,883,832,143,056,845,770,003,495,633,148,895,301,
795,640,192,427,593,159,877,754,346,713,009,528,380,388,152,118,308,725,190,
192,694,692,432,031,490,795,851,251,266,601,154,063,637,522,716,228,082,484,
331,076,737,409,094,687,733,905,884,620,039,658,019,240,455,167,862,232,147,
635,953,270,837,766,660,358,270,402,379,056,890,163,444,712,157,709,508,103,
408,005,933,486,488,283,359,080,732,592,955,236,364,228,190,261,272,437,266,
211,851,835,907,755,295,277,449,311,294,117,994,315,951,697,599,228,387,341,
271,830,564,752,344,653,756,713,536,472,117,309,401,594,369,831,906,541,245,
172,512,090,097,791,226,923,184,418,436,027,341,624,421,498,853,262,842,981,
582,806,303,049,404,334,909,931,821,549,250,982,238,887,272,798,217,217,255,
100,075,331,353,843,721,725,892,011,627,149,712,279,422,167,025,592,553,442,
948,564,298,425,558,509,792,819,655,831,887,632,033,320,456,481,112,765,439,
696,921,173,868,126,000,591,582,187,544,946,935,034,271,296,424,244,919,147,
077,160,147,415,770,153,421,303,433,439,603,111,028,246,812,322,077,193,527,
380,203,421,287,261,479,436,252,063,738,813,355,872,278,235,817,313,050,956,
906,889,376,386,464,210,288,024,937,384,888,469,996,327,742,741,186,782,591,
399,829,632,324,497,467,159,090,448,430,360,540,042,332,767,404,929,457,864,
815,324,977,026,802,992,186,939,666,519,460,088,239,743,164,738,498,878,189,
375,341,965,687,383,687,866,597,162,155,296,767,431,360,923,258,823,647,981,
828,658,772,486,196,042,352,781,533,997,971,269,198,500,895,543,698,283,127,
622,708,661,167,530,734,186,003,616,027,291,761,573,620,500,103,254,260,807,
025,664,031,422,759,004,126,704,368,956,659,055,917,901,562,258,153,382,941,
979,217,690,213,718,018,735,847,746,833,706,247,985,595,484,632,121,978,322,
331,064,878,327,977,894,494,607,305,232,545,625,826,294,793,901,916,950,574,
733,883,846,120,447,368,746,590,058,468,718,657,116,928,459,447,675,466,302,
925,546,654,144,452,258,204,516,220,223,956,511,332,159,676,060,841,194,723,
030,669,478,382,828,010,977,685,671,244,497,874,704,587,002,207,200,118,024,
670,951,748,131,281,376,083,745,552,774,414,237,452,057,796,463,319,544,448,
854,346,253,921,204,196,228,996,061,770,142,022,089,056,430,902,948,159,179,
510,218,214,227,318,429,495,773,503,854,243,252,040,021,383,789,911,567,784,
729,373,457,733,226,554,603,259,470,283,254,751,052,354,756,536,372,513,568,
099,114,143,463,190,975,384,354,495,517,900,395,398,354,040,020,532,792,477,
920,652,520,808,074,089,914,291,352,039,345,375,920,493,752,984,147,633,248,
667,293,757,351,055,563,368,989,033,114,126,822,884,304,253,114,337,402,995,
693,701,042,894,608,805,698,199,293,284,283,165,409,610,083,011,593,332,232,
809,933,838,560,726,052,765,724,857,711,118,101,066,178,724,638,946,838,628,
806,005,987,371,217,744,506,063,352,358,828,567,654,817,550,562,436,115,103,
513,692,267,323,337,905,744,774,584,618,559,027,529,454,086,583,639,820,913,
539,617,700,407,840,350,453,558,703,209,670,154,531,035,034,388,472,669,260,
718,791,251,504,509,539,195,430,904,131,615,257,089,337,288,125,222,178,305,
629,993,143,223,928,391,216,086,206,637,746,493,658,328,420,862,950,963,848,
723,523,649,758,858,926,115,627,646,244,290,387,886,033,077,627,155,818,602,
589,398,036,025,731,646,033,417,196,048,558,304,772,988,941,504,850,678,238,
594,296,919,551,752,815,326,313,243,775,609,073,092,689,808,344,806,371,278,
774,820,855,472,543,137,658,134,078,873,705,233,461,901,739,245,771,088,644,
423,814,888,398,686,263,794,129,520,629,044,818,583,633,324,597,633,311,560,
629,434,904,595,663,290,625,130,891,655,009,218,075,450,195,507,714,797,179,
604,999,944,993,205,053,321,545,483,299,630,143,846,045,740,764,773,419,302,
114,536,467,859,179,177,414,152,095,543,565,754,046,219,338,991,415,297,445,
223,021,310,448,872,090,948,994,938,297,921,883,385,165,163,971,311,083,103,
628,425,448,823,650,757,922,236,032,209,336,717,750,695,084,703,249,870,829,
724,914,476,654,065,943,502,170,470,193,232,798,974,326,125,268,037,621,595,
858,860,976,615,399,369,865,818,934,314,026,928,718,630,541,202,168,213,195,
712,848,394,752,302,706,270,593,230,788,114,495,460,453,800,106,272,868,357,
357,969,815,743,076,503,175,904,276,604,788,206,454,499,268,332,353,276,388,
728,767,870,485,722,266,748,926,291,744,276,745,191,717,155,579,354,162,912,
038,980,447,594,124,933,408,049,526,603,531,261,544,538,823,753,493,075,544,
700,234,381,832,194,159,485,101,057,109,497,286,954,630,373,661,060,137,859,
162,897,156,100,965,870,780,154,794,209,163,408,254,286,827,379,482,076,505,
083,327,451,102,807,835,228,310,015,065,529,167,759,515,247,921,134,812,429,
965,139,784,878,923,168,159,158,064,337,744,475,041,101,088,959,919,527,219,
572,476,363,927,709,675,445,884,398,784,017,125,890,563,219,125,722,321,743,
957,266,816,062,972,451,111,796,148,766,005,955,168,085,665,075,796,389,038,
458,992,838,141,689,616,864,401,073,631,700,732,504,686,696,411,840,436,790,
447,703,288,076,168,093,141,470,157,006,718,852,088,802,255,500,053,907,588,
651,192,528,522,063,517,905,607,422,701,142,402,193,968,420,009,492,545,253,
083,361,787,958,053,594,055,135,528,231,547,117,395,751,844,090,994,799,334,
251,155,542,536,322,103,299,668,100,334,287,911,418,622,347,578,992,679,951,
798,407,240,100,789,497,734,468,878,853,320,334,522,201,198,350,607,171,441,
856,259,889,566,369,211,746,781,673,728,143,995,535,917,775,009,715,651,459,
500,706,122,979,616,832,801,273,565,388,542,660,274,866,092,040,791,309,353,
533,110,999,890,129,205,345,686,983,213,428,501,965,153,883,962,930,277,427,
854,559,344,283,187,174,428,710,635,835,145,231,075,490,440,655,425,961,601,
386,236,076,680,128,062,779,914,524,831,665,987,093,629,023,685,554,599,784,
156,652,498,065,757,064,811,217,494,460,390,255,355,985,349,594,684,159,465,
617,946,820,574,099,687,058,038,101,182,486,385,371,155,062,494,387,005,343,
719,521,952,034,451,939,403,082,427,971,153,165,577,318,893,809,980,487,947,
331,496,639,255,518,287,980,847,246,911,019,437,825,728,517,285,114,421,185,
613,670,307,632,323,810,705,281,594,283,797,511,998,118,381,306,678,343,599,
939,403,982,817,361,241,281,920,491,620,812,105,551,519,883,816,054,461,952,
045,397,434,795,709,988,324,728,845,738,684,953,701,132,523,175,993,878,088,
625,379,780,848,801,618,458,386,924,515,266,962,633,780,016,325,173,400,685,
608,352,080,268,076,597,892,581,495,280,262,975,356,574,443,307,092,123,051,
980,058,839,482,705,317,725,952,115,719,767,356,097,262,926,237,027,964,685,
870,316,285,191,730,017,457,714,552,260,139,691,999,649,126,385,900,893,280,
142,191,351,004,978,679,749,833,593,620,645,240,698,091,773,344,351,247,369,
114,629,932,216,302,550,030,737,331,205,908,498,324,786,190,520,748,915,814,
016,929,654,070,674,942,237,393,424,658,408,534,077,500,583,287,973,580,807,
250,439,273,029,606,116,658,517,596,662,480,588,461,458,648,539,156,278,616,
121,227,739,268,593,354,500,961,354,064,699,807,964,395,715,119,394,677,417,
635,018,694,833,151,550,467,980,085,130,879,497,494,794,410,334,068,673,105,
233,236,585,783,386,661,906,715,871,503,929,204,042,391,678,483,035,470,450,
755,532,734,554,749,767,404,853,083,274,492,940,278,660,644,757,940,389,616,
567,869,202,386,638,006,926,922,446,371,094,069,680,448,580,767,054,178,637,
723,647,902,396,608,196,360,805,888,807,821,875,003,196,376,481,958,226,057,
462,565,902,380,171,884,404,461,088,789,227,556,976,347,583,530,488,374,379,
453,726,366,383,420,999,237,488,189,132,379,334,146,959,340,676,491,031,898,
936,963,478,563,483,968,079,834,673,295,192,029,900,509,699,196,869,400,615,
120,879,103,044,516,973,944,988,859,484,130,654,542,358,313,439,293,815,411,
264,980,273,371,787,199,072,372,416,190,418,216,102,231,370,758,406,443,977,
756,936,823,892,214,699,732,997,386,861,824,127,418,266,655,875,387,283,775,
208,515,303,773,846,529,399,429,252,356,199,763,615,296,466,473,551,534,159,
458,817,446,613,109,380,463,041,984,665,837,885,285,926,499,580,865,438,204,
294,925,280,280,625,484,277,409,886,961,456,022,464,210,783,881,705,584,751,
778,720,825,924,952,959,256,545,902,133,375,713,909,288,594,163,237,319,304,
042,672,644,163,864,054,479,412,113,538,866,518,941,634,010,632,150,491,703,
764,682,687,988,909,130,658,263,260,523,226,789,937,825,639,524,860,238,910,
970,294,505,307,831,178,926,467,084,187,747,391,086,782,205,996,832,274,944,
949,592,065,756,259,716,793,862,178,572,802,365,495,942,822,856,147,711,591,
306,059,463,975,919,178,092,073,230,816,371,864,048,832,504,646,146,516,008,
987,339,568,963,342,933,151,812,176,591,140,455,871,979,686,855,049,387,794,
158,739,201,649,809,118,302,583,510,186,249,698,314,299,712,978,025,313,519,
040,465,820,689,298,472,977,518,412,903,611,332,624,492,790,320,485,545,465,
563,066,562,649,318,799,998,276,815,390,094,323,112,050,716,579,291,456,906,
250,463,270,206,260,851,184,071,182,805,973,400,165,042,686,978,816,948,607,
363,118,989,597,624,364,790,093,679,431,137,417,648,465,332,537,325,649,560,
516,621,094,210,838,936,197,534,961,803,342,960,995,751,702,376,587,706,523,
734,295,613,362,819,195,318,829,743,990,601,828,629,693,905,370,006,538,300,
324,741,755,288,482,599,682,276,441,509,565,013,966,613,251,236,585,013,372,
528,624,552,338,993,360,566,008,423,587,162,559,852,490,125,495,927,294,415,
765,412,539,317,094,236,747,546,716,590,105,345,880,704,080,910,014,295,004,
864,407,703,759,808,983,672,882,604,127,682,270,381,027,071,235,115,280,131,
380,882,316,595,752,859,946,779,678,127,188,090,036,654,787,829,171,622,223,
289,756,171,212,552,175,811,356,640,878,547,669,546,125,822,614,926,324,002,
219,984,911,379,410,675,273,169,625,874,195,696,297,434,692,814,319,176,237,
380,174,046,094,310,359,458,964,366,207,530,822,181,404,335,640,279,202,274,
661,041,687,062,736,384,935,570,832,551,208,233,573,728,305,527,133,138,106,
689,848,312,831,368,084,093,672,468,772,323,148,545,539,562,317,872,099,045,
191,674,812,749,469,742,051,333,744,625,854,335,340,797,878,997,745,041,471,
991,748,714,223,162,130,094,766,858,639,983,870,023,819,637,528,266,658,498,
251,869,773,040,828,353,014,583,374,534,154,583,571,589,822,280,535,366,656,
386,145,033,725,135,301,548,979,657,595,594,578,021,690,015,659,070,479,582,
267,145,432,124,496,754,712,199,851,717,707,948,323,883,863,916,234,050,475,
617,003,215,080,601,658,471,645,540,100,048,119,154,285,581,248,487,911,190,
270,515,493,014,048,984,745,492,312,208,764,072,304,517,747,647,110,482,545,
655,715,532,767,856,351,633,026,833,894,364,439,452,358,225,329,690,337,400,
199,914,950,005,494,564,087,087,159,819,923,936,042,409,161,024,124,003,888,
654,681,989,761,951,091,452,101,507,888,475,460,143,998,034,819,074,040,135,
497,001,390,927,361,882,586,919,393,134,690,518,591,412,480,380,470,461,523,
969,438,843,190,219,030,554,301,425,717,024,559,997,406,712,438,301,872,780,
203,305,440,994,779,210,045,261,968,771,591,289,529,406,382,872,969,049,194,
531,987,554,748,995,545,426,605,784,701,346,643,256,110,518,782,162,092,341,
958,540,237,321,642,835,367,256,918,882,363,031,859,779,937,064,952,115,285,
658,451,191,757,962,227,626,478,373,896,862,231,716,185,233,767,967,361,959,
791,496,999,716,249,488,279,312,145,463,497,369,425,321,405,829,681,378,955,
559,708,871,518,663,831,973,175,443,249,064,139,029,839,412,143,528,963,608,
321,265,321,214,407,552,008,517,809,651,773,710,878,270,104,227,986,161,018,
002,760,348,991,142,623,344,432,928,785,082,535,184,353,066,250,827,955,426,
717,173,872,775,604,631,229,466,571,369,872,361,171,569,609,449,562,844,944,
701,821,475,126,925,959,636,882,622,946,216,002,526,468,965,489,251,622,022,
338,685,698,227,793,876,433,441,121,254,050,887,102,670,166,911,669,152,871,
501,294,302,135,614,956,868,161,010,078,063,719,271,145,012,535,662,630,260,
554,361,817,203,360,604,359,474,563,346,527,774,354,299,404,924,768,252,400,
108,071,669,388,485,912,802,859,064,530,551,057,421,169,040,925,930,015,202,
484,199,219,099,206,067,388,725,015,731,382,806,643,243,034,753,448,821,557,
831,371,845,002,269,250,046,692,940,948,075,854,586,040,948,104,540,248,829,
815,672,366,162,226,941,864,787,055,808,494,338,774,030,760,046,551,620,565,
870,535,034,202,531,673,606,555,689,232,364,258,203,924,577,711,656,450,748,
191,299,906,598,701,654,883,616,332,909,223,526,382,895,541,715,437,025,782,
496,245,843,672,886,174,921,563,187,733,857,694,722,753,642,125,868,683,928,
358,456,320,430,666,817,341,988,861,277,523,405,583,473,972,302,228,725,473,
023,010,216,203,979,185,255,675,675,636,701,357,223,668,172,916,346,781,438,
436,265,279,297,253,664,566,974,350,198,878,367,039,622,457,633,685,445,300,
537,584,440,178,278,289,401,347,658,839,684,531,401,624,070,186,361,445,383,
942,297,378,988,656,882,392,324,334,746,968,892,499,373,064,587,919,804,039,
586,308,882,173,654,572,846,470,863,170,205,058,776,404,222,160,934,922,816,
784,064,412,308,164,898,382,725,194,187,740,168,164,788,583,136,586,678,959,
898,174,650,637,383,410,187,034,085,389,906,758,425,176,608,186,768,714,357,
254,805,254,609,157,755,240,806,901,654,534,276,193,808,889,461,624,948,958,
070,226,030,060,438,912,495,870,524,341,727,903,058,743,325,045,227,353,671,
544,181,469,681,413,262,262,061,900,409,311,965,113,124,597,427,320,268,676,
133,768,526,752,559,255,890,307,307,038,545,216,557,167,512,130,002,573,976,
804,911,411,314,339,351,197,510,571,401,576,060,414,709,672,237,837,992,312,
982,187,002,992,618,620,905,312,819,577,259,448,385,584,606,419,650,772,288,
064,880,548,325,711,722,629,829,306,514,038,780,438,910,115,703,611,490,312,
923,311,652,968,376,002,808,039,275,909,818,742,347,333,307,427,425,033,172,
313,559,966,710,322,964,884,362,783,142,729,993,627,032,818,119,314,917,041,
616,727,123,377,510,356,174,099,730,351,418,734,044,916,266,855,808,276,297,
819,735,478,484,257,192,131,128,105,114,537,852,839,351,628,459,964,835,096,
079,669,864,761,618,113,971,291,341,266,025,330,229,626,436,217,583,975,101,
806,544,645,031,703,955,919,057,404,721,376,549,290,710,657,456,460,652,987,
717,404,534,790,032,180,266,893,318,416,993,508,768,812,780,372,904,551,760,
372,844,924,047,926,447,575,086,668,523,368,789,979,917,810,982,134,366,519,
764,846,835,046,665,384,455,773,189,089,379,955,041,341,583,622,622,766,838,
454,554,263,126,733,645,711,480,241,687,030,815,557,000,481,262,319,071,331,
204,324,414,857,725,571,124,905,267,894,729,006,065,355,532,772,149,557,223,
964,759,292,682,822,113,820,160,055,482,798,683,607,420,027,937,816,933,272,
469,727,284,261,244,768,830,387,923,810,383,077,678,055,440,124,561,942,204,
118,316,351,432,631,595,322,614,733,735,267,004,857,254,040,941,940,008,373,
100,478,014,793,766,431,609,987,211,039,384,575,562,270,029,811,946,072,007,
885,557,468,687,892,597,027,338,731,554,490,080,109,511,861,848,587,847,738,
140,684,163,339,874,494,817,323,350,235,167,597,738,767,471,675,836,693,993,
752,665,289,522,560,564,288,674,450,595,123,746,877,290,378,634,027,946,500,
175,723,128,078,515,319,564,081,232,712,169,555,982,735,014,547,294,612,816,
259,525,071,604,968,093,839,530,858,781,548,714,520,663,162,018,731,303,708,
859,362,499,634,561,247,895,355,166,146,127,865,055,566,546,438,926,063,839,
939,206,834,018,891,699,778,496,369,448,711,092,009,937,709,369,826,880,806,
903,332,313,537,710,625,903,915,191,650,269,006,638,819,808,581,807,068,510,
207,731,225,787,762,285,261,612,285,260,494,058,144,948,393,439,803,059,961,
421,899,452,289,363,404,607,026,387,885,056,121,667,279,763,852,016,380,190,
075,243,013,748,946,753,771,639,974,178,050,814,988,657,212,320,423,757,347,
083,342,318,930,366,096,341,275,080,910,730,100,115,578,477,148,883,118,040,
784,585,348,990,123,244,220,505,342,232,875,769,688,635,817,795,086,103,827,
974,864,565,601,189,225,907,198,516,921,232,723,125,872,990,142,032,096,362,
623,714,019,854,421,231,818,496,418,689,160,885,101,861,216,800,173,966,191,
202,115,411,821,818,249,596,448,608,851,370,493,698,194,517,549,961,888,983,
279,834,275,583,135,526,193,030,273,389,276,897,104,829,603,239,447,978,443,
045,231,241,209,902,251,657,742,630,325,765,814,099,125,190,824,849,279,281,
271,457,463,386,883,697,977,238,659,889,122,671,418,535,916,102,039,273,765,
033,574,904,192,212,324,359,969,728,038,250,201,283,157,018,218,889,298,317,
196,722,249,594,675,512,410,961,547,069,247,615,685,693,792,063,048,912,706,
361,597,217,920,308,024,325,202,636,362,894,873,882,134,165,096,724,845,494,
446,498,922,914,737,911,887,402,965,467,791,744,586,597,726,241,196,263,975,
056,447,647,493,831,082,893,187,754,770,020,930,880,342,361,271,602,041,380,
433,393,007,398,239,913,147,725,335,412,174,597,411,055,660,236,196,445,784,
929,009,887,959,400,002,888,946,319,239,179,384,837,075,605,600,862,287,933,
047,198,202,768,668,052,665,338,013,218,350,513,372,217,544,858,804,626,887,
816,550,867,838,427,110,222,018,963,217,499,776,503,720,612,025,448,406,969,
081,278,240,587,166,864,311,783,315,252,237,695,787,563,273,967,664,250,395,
765,638,760,629,125,479,486,448,740,556,567,219,537,577,917,144,349,024,564,
752,000,557,184,008,784,238,715,694,096,632,758,222,840,408,923,551,481,175,
809,108,862,422,490,644,558,696,199,319,222,047,262,984,193,204,770,103,744,
595,788,337,200,007,384,080,321,230,479,754,380,635,700,513,028,072,890,688,
741,875,634,183,832,240,743,940,356,803,328,543,930,019,397,864,757,764,917,
447,415,823,806,159,554,744,383,791,863,315,584,539,081,496,117,990,506,508,
108,312,839,413,301,179,406,372,406,709,964,337,981,438,725,622,056,544,796,
012,787,914,301,206,987,227,682,566,805,469,030,098,826,403,518,107,499,019,
529,195,608,663,430,160,711,452,127,767,392,084,156,796,599,699,742,116,445,
689,275,239,891,879,459,388,406,428,731,944,195,263,542,660,604,212,184,794,
636,175,646,421,824,072,358,280,162,617,364,451,752,192,283,553,190,126,492,
799,369,447,356,498,761,532,764,796,037,003,273,761,196,585,579,165,819,895,
217,978,969,650,895,840,626,739,012,301,112,540,021,823,216,272,546,389,440,
386,611,448,870,013,482,198,346,945,735,844,508,514,277,739,736,461,042,344,
008,679,906,536,276,509,588,516,911,710,293,617,136,383,280,463,505,398,366,
411,756,072,013,762,060,969,461,608,158,573,594,367,582,277,125,545,129,842,
074,537,399,553,930,107,212,784,844,955,807,276,351,849,984,412,609,309,375,
553,089,242,217,384,254,343,342,622,667,913,902,793,623,971,598,586,696,503,
953,697,910,896,596,355,884,593,928,291,826,991,364,456,787,997,409,595,204,
081,965,821,358,814,834,689,526,312,916,102,698,320,471,824,293,174,384,182,
912,976,454,938,484,797,551,684,703,550,863,827,856,037,462,470,567,156,856,
614,968,268,514,983,266,300,944,289,276,471,553,622,847,932,187,418,948,879,
073,134,560,705,404,024,682,770,863,575,292,079,891,456,708,611,891,701,256,
555,871,573,570,323,938,064,058,121,724,190,262,430,061,996,557,160,366,921,
083,873,517,632,095,573,431,403,102,303,549,859,881,233,844,260,534,208,904,
128,854,211,475,627,869,728,599,714,567,571,504,373,550,940,824,870,545,506,
100,815,930,565,066,426,233,782,063,377,332,693,710,478,063,694,514,311,181,
798,143,220,356,339,986,821,909,065,931,058,356,620,381,691,980,762,415,340,
526,731,003,292,000,845,706,922,448,129,692,832,551,199,602,012,525,339,826,
276,772,648,154,526,557,759,659,713,442,160,665,707,883,714,307,099,643,144,
475,553,342,989,378,154,639,146,473,408,292,018,185,915,534,186,620,429,255,
136,457,879,032,897,916,751,267,543,664,646,157,176,917,910,992,031,681,577,
051,779,520,104,025,025,937,461,615,933,734,541,908,880,480,205,458,902,076,
453,788,355,616,456,176,133,749,022,018,992,148,501,791,838,896,322,380,154,
245,753,064,740,190,473,389,517,550,503,357,085,927,036,127,968,490,111,196,
363,731,955,231,803,178,917,888,165,056,416,677,181,694,303,904,451,447,928,
893,941,857,071,016,920,974,150,506,364,027,557,580,100,468,074,019,779,391,
114,047,513,384,062,473,703,428,862,019,287,321,644,066,218,360,282,468,455,
486,705,478,950,838,303,783,620,474,986,020,403,910,877,665,293,288,464,169,
606,517,219,624,715,765,387,104,925,137,415,411,137,079,259,896,517,414,206,
231,320,892,930,358,531,755,337,947,844,858,932,070,056,504,680,557,214,270,
123,889,732,447,217,903,633,367,610,593,067,791,432,546,007,352,448,075,545,
294,028,816,396,258,418,358,816,695,820,241,552,157,878,988,813,785,889,588,
708,363,735,973,588,630,810,710,931,335,268,064,284,453,611,104,290,269,598,
439,866,586,811,357,673,559,126,079,097,986,594,360,440,850,937,556,401,100,
842,746,158,713,268,885,290,438,418,353,103,519,871,862,042,390,525,397,832,
654,053,521,489,111,641,771,396,118,990,495,731,446,774,335,156,542,308,724,
462,629,773,225,846,158,110,181,064,115,080,927,561,436,284,654,118,045,290,
469,547,004,314,755,919,842,220,076,699,002,102,272,846,690,968,585,903,786,
684,614,164,682,021,559,376,995,467,776,693,561,794,165,658,055,512,658,800,
920,003,031,457,654,573,762,639,091,500,700,366,260,155,510,771,676,012,380,
847,354,864,040,973,911,372,238,846,624,750,084,001,425,049,557,001,239,480,
619,885,121,772,517,333,304,059,039,929,931,659,259,153,435,724,239,684,902,
652,259,940,865,281,920,563,481,373,869,360,122,352,030,874,103,859,624,052,
426,785,934,418,540,615,720,934,587,291,832,923,695,511,295,075,206,366,023,
438,216,677,445,336,696,034,611,994,569,883,074,107,223,245,259,515,788,036,
684,479,706,459,221,547,404,301,684,098,738,196,466,177,815,844,978,327,988,
552,145,699,519,046,247,932,514,722,555,020,748,960,884,845,145,419,109,039,
952,041,043,958,482,168,143,902,315,442,162,998,253,128,500,490,813,099,580,
280,135,490,631,589,799,055,550,678,042,325,533,063,632,104,531,169,834,297,
358,069,319,837,221,566,623,378,037,298,296,836,022,789,621,757,157,195,401,
629,171,325,761,396,198,019,191,552,792,555,443,223,491,227,221,559,909,081,
371,630,842,310,429,452,442,987,902,838,619,731,743,030,180,657,276,767,895,
755,192,047,243,850,835,606,242,971,734,397,208,208,586,897,118,831,858,841,
436,690,167,731,882,412,252,199,054,582,941,640,104,887,451,943,045,984,796,
709,668,921,475,083,107,923,993,678,348,235,797,491,831,007,715,350,210,229,
917,531,308,512,866,728,982,472,482,672,878,625,990,909,599,263,407,438,660,
154,005,808,929,272,521,370,588,807,086,457,970,531,229,856,614,831,454,243,
483,639,697,775,901,847,338,558,497,130,229,261,552,525,464,461,060,737,059,
253,454,686,537,983,623,509,081,307,710,291,426,494,727,359,590,100,087,489,
310,346,185,349,676,881,946,299,639,979,574,241,453,382,019,836,602,192,509,
770,884,102,859,236,555,203,405,830,748,473,561,409,456,268,331,788,492,351,
011,409,469,723,099,979,312,314,484,865,412,531,921,226,861,380,597,149,267,
477,721,160,993,846,437,495,430,937,935,909,211,059,238,323,951,341,741,378,
169,143,114,948,303,877,014,623,682,581,095,520,242,297,877,048,779,490,231,
987,011,041,656,529,315,730,015,290,356,543,176,932,949,162,712,844,565,093,
016,990,294,584,533,244,042,930,220,330,463,222,974,080,208,528,741,384,958,
970,625,466,036,967,230,596,394,053,866,705,970,657,247,694,597,240,564,950,
195,411,270,422,881,486,440,221,617,584,521,844,196,973,707,866,609,003,774,
059,863,712,529,265,544,804,165,890,669,138,695,764,786,060,815,223,538,044,
345,979,461,096,755,391,614,658,100,071,982,243,556,458,012,360,407,042,606,
417,619,599,211,421,964,129,406,017,916,451,998,828,314,323,375,134,817,187,
114,449,976,588,498,014,986,597,376,385,835,531,651,314,798,061,217,353,937,
183,410,668,738,081,121,875,159,825,630,958,584,939,641,219,328,534,083,902,
240,605,116,638,526,884,437,038,708,377,349,382,630,164,015,625,071,135,561,
682,780,512,798,574,671,428,887,878,453,648,314,931,943,697,760,578,326,348,
716,039,847,754,717,291,986,427,437,280,308,257,818,675,226,015,838,587,223,
774,599,443,802,745,789,883,528,051,539,297,248,710,879,926,394,176,972,066,
019,362,436,860,666,066,247,532,749,235,541,546,613,581,277,072,746,286,717,
645,639,238,853,670,982,271,143,987,667,220,069,006,695,294,103,939,075,725,
925,583,492,219,735,125,018,881,112,626,311,838,105,765,478,159,555,719,100,
322,888,633,987,142,931,639,022,935,317,861,369,586,403,327,183,413,383,954,
403,362,885,730,905,653,410,304,316,821,235,514,368,172,466,068,462,432,634,
699,102,248,134,371,839,544,507,042,070,435,256,907,624,479,825,259,883,857,
418,187,727,705,624,719,721,327,176,223,945,181,102,006,514,425,984,380,331,
776,921,557,097,672,388,890,799,278,388,685,362,321,802,961,177,960,843,227,
420,710,918,215,046,620,216,343,220,022,383,327,462,421,490,594,620,164,355,
182,002,655,549,424,738,125,659,384,507,469,182,658,671,146,823,851,780,150,
281,615,811,653,683,421,367,350,003,270,634,820,003,483,151,512,904,265,729,
874,184,292,772,350,971,558,420,759,129,999,436,053,557,525,691,219,535,570,
152,155,337,293,918,627,755,732,108,083,935,782,147,814,191,399,402,263,420,
769,967,525,528,800,441,422,044,252,490,844,972,251,336,756,744,700,182,418,
201,410,658,213,382,587,036,219,368,128,743,832,163,628,833,928,540,727,394,
632,269,982,521,752,311,974,156,586,870,477,425,303,039,420,448,145,929,989,
734,051,164,650,989,280,612,194,726,873,087,201,856,741,968,639,149,459,453,
867,420,032,935,313,928,062,786,096,179,826,295,290,920,709,011,555,748,247,
884,561,698,394,949,140,426,275,960,483,636,683,568,483,401,997,317,365,610,
268,419,541,988,792,662,843,083,389,848,375,122,785,964,430,719,858,138,571,
916,904,215,221,653,551,758,604,128,592,056,888,669,359,714,762,545,633,463,
607,931,523,920,426,234,159,552,277,032,387,110,805,047,200,533,884,474,366,
913,074,276,970,140,166,886,220,689,047,322,462,142,090,584,276,431,516,697,
581,715,174,945,235,588,285,273,576,286,369,893,320,493,305,408,194,342,938,
630,758,285,569,107,979,596,036,341,837,370,836,588,391,580,592,056,794,544,
639,628,621,127,619,640,863,531,139,906,359,587,774,387,042,695,865,874,840,
425,095,119,787,958,523,992,358,241,049,207,897,144,226,004,798,853,555,283,
028,699,623,212,274,873,667,275,562,182,248,164,151,590,477,007,179,507,291,
864,291,972,363,066,735,675,602,039,415,300,804,562,200,495,326,235,120,074,
226,595,125,811,135,947,615,527,773,488,862,172,667,109,490,510,574,171,613,
705,594,820,842,572,706,603,229,730,057,385,101,763,114,566,829,724,223,680,
457,491,295,626,609,041,488,795,471,474,663,603,498,590,882,589,799,960,219,
668,651,769,433,051,477,061,793,886,123,055,091,536,299,927,988,788,395,690,
525,203,551,312,427,165,395,879,207,456,174,082,098,966,061,746,285,879,207,
388,152,325,208,688,547,995,852,951,902,136,327,063,316,521,882,642,287,089,
476,506,359,528,301,387,107,461,193,459,800,657,667,640,229,143,456,343,384,
480,657,741,546,879,762,944,369,187,339,101,196,145,951,107,234,160,462,232,
296,629,761,618,174,305,164,129,935,691,742,831,373,619,248,015,798,284,673,
567,927,119,556,425,402,786,941,057,201,061,637,330,685,094,755,028,272,346,
846,136,395,004,302,355,855,744,303,140,288,767,232,269,065,858,965,585,553,
780,085,851,564,457,002,072,567,829,695,749,185,385,325,538,998,627,549,452,
853,869,487,776,577,011,425,534,687,638,908,592,986,711,379,410,420,754,945,
063,289,585,267,057,408,307,451,096,655,415,236,811,142,300,941,880,398,869,
830,355,136,471,332,631,048,584,527,679,977,505,654,826,645,992,342,639,937,
413,918,827,704,097,273,615,333,974,416,362,326,891,760,415,710,299,870,524,
244,352,338,995,399,728,629,917,832,478,518,063,940,648,186,254,915,915,627,
316,673,711,964,152,577,287,785,277,456,714,523,741,909,328,800,122,154,861,
828,246,046,808,210,316,844,809,857,298,577,031,005,181,521,170,489,069,744,
366,363,990,454,123,694,287,203,919,769,090,850,607,099,420,378,751,035,055,
985,186,869,355,261,318,473,906,061,057,984,222,123,369,460,244,063,017,160,
903,599,323,309,275,265,906,210,208,264,795,976,128,919,306,726,530,729,962,
577,767,854,749,645,072,785,288,957,889,777,586,460,427,541,933,414,353,522,
975,242,385,044,483,102,665,383,799,687,514,285,237,157,860,631,472,714,823,
521,220,617,047,413,757,992,311,544,211,563,634,352,835,625,699,198,043,884,
708,251,247,829,844,167,989,740,679,917,586,530,839,150,021,229,462,364,087,
817,773,548,175,945,825,220,492,747,836,797,026,358,863,531,230,532,516,403,
979,276,764,714,457,771,654,672,269,618,881,290,666,859,948,792,074,400,035,
283,602,399,766,426,934,708,058,540,112,524,967,969,271,876,612,332,893,373,
143,728,140,760,259,261,177,300,761,212,442,526,353,184,700,975,858,576,256,
468,650,999,482,373,467,138,671,449,013,127,205,205,178,736,763,660,292,854,
553,405,885,291,609,482,882,978,485,331,542,583,721,020,167,377,666,807,429,
313,884,566,683,936,345,997,504,660,001,795,877,128,281,745,778,645,511,073,
971,963,224,370,832,481,692,916,489,148,840,163,802,892,253,604,161,008,845,
532,532,823,326,157,099,991,984,373,557,558,581,612,276,898,862,671,587,379,
045,154,681,401,641,659,630,694,016,872,614,618,951,832,210,738,216,871,154,
087,239,572,156,882,488,782,410,198,804,578,482,352,670,226,050,441,196,477,
555,256,274,804,496,301,158,035,443,167,384,775,326,297,233,397,331,056,484,
729,261,035,524,753,500,078,837,699,306,767,203,511,911,599,491,774,402,450,
420,848,550,428,153,575,891,601,714,851,806,382,256,681,400,774,807,792,482,
189,483,130,820,112,831,788,807,276,069,264,954,782,345,693,878,631,150,487,
284,890,837,844,911,120,762,732,603,132,807,944,829,387,226,499,429,807,058,
961,650,161,715,823,247,927,300,853,820,625,877,368,792,132,340,125,525,977,
981,881,755,435,730,265,812,250,100,618,858,353,983,145,389,204,670,388,570,
135,425,221,514,937,661,862,562,248,859,362,909,081,050,446,373,254,915,753,
397,887,931,841,373,107,458,452,611,470,781,203,960,132,446,567,159,564,439,
947,806,364,064,608,153,544,510,197,312,466,082,391,600,399,009,863,921,215,
093,548,252,742,708,870,281,272,625,983,583,915,754,081,859,870,048,955,120,
101,856,989,009,028,087,857,549,902,682,545,214,189,659,009,151,110,404,961,
379,116,594,138,965,668,666,404,826,945,893,957,315,014,154,929,861,162,820,
367,714,873,060,079,409,552,297,287,251,631,026,827,962,182,226,151,666,474,
366,865,134,871,312,463,844,540,976,218,173,565,025,339,862,008,531,991,441,
319,432,641,214,560,990,164,274,529,512,568,490,617,961,107,750,084,774,283,
402,135,052,404,952,217,291,585,673,114,405,240,896,887,831,359,834,069,844,
808,424,755,743,712,702,206,635,460,128,858,011,264,045,767,811,432,083,387,
619,189,391,463,493,986,448,687,572,140,629,933,905,780,797,486,769,351,370,
219,796,298,757,697,890,646,699,363,154,569,775,162,242,322,934,695,954,637,
865,547,829,615,798,660,014,140,422,181,281,613,788,681,688,621,753,501,727,
334,279,785,904,761,844,822,269,933,630,427,992,471,096,686,961,817,521,809,
117,907,510,657,552,278,447,082,146,323,603,690,224,282,280,395,805,746,206,
485,310,069,334,939,024,759,630,941,294,376,899,088,741,967,492,040,733,801,
092,751,280,578,306,030,914,357,060,797,084,728,861,188,860,699,409,587,781,
781,845,618,033,353,755,223,504,750,415,563,894,992,117,009,973,576,200,292,
441,854,458,064,120,629,255,594,888,763,737,161,524,666,718,441,039,140,194,
084,724,474,182,351,305,895,726,929,960,791,302,665,791,233,899,239,413,810,
126,465,232,369,652,212,562,332,301,046,585,252,321,243,947,243,633,054,298,
526,169,617,585,188,653,123,519,936,914,060,232,872,248,894,685,936,299,826,
884,175,796,487,104,672,233,741,684,099,221,083,852,664,200,193,212,051,443,
691,676,944,479,376,473,336,643,275,010,774,470,820,427,771,116,061,389,105,
923,735,853,681,409,697,177,690,640,729,173,659,435,241,143,555,247,055,586,
090,692,412,474,737,870,465,327,141,200,613,799,214,400,570,320,312,003,974,
729,559,051,648,532,292,831,330,195,033,674,715,915,588,232,337,845,525,942,
788,559,050,660,696,703,680,546,014,127,124,598,960,476,893,034,286,327,836,
319,999,399,238,040,610,609,130,352,491,836,119,600,278,008,312,596,961,647,
623,227,233,451,946,154,399,569,747,983,233,200,712,789,543,080,490,425,734,
542,249,806,595,345,160,263,932,280,278,187,328,976,865,195,366,355,830,218,
276,333,467,610,754,519,853,902,533,649,360,306,372,009,800,570,240,753,586,
238,862,917,694,425,614,740,668,664,273,802,261,780,869,575,016,588,665,700,
389,019,028,004,066,718,658,123,693,360,119,539,657,160,882,893,906,526,281,
335,105,389,199,693,572,582,758,199,665,889,614,963,431,405,615,614,269,696,
619,725,160,586,757,336,576,423,025,022,480,155,029,219,778,201,145,063,873,
296,980,725,126,571,002,672,112,338,756,284,062,827,858,257,196,181,591,771,
784,639,886,009,576,935,352,489,064,167,695,224,174,616,258,683,652,483,338,
896,229,581,405,025,756,545,268,379,860,273,648,339,947,133,766,940,263,127,
023,394,426,949,851,620,216,051,436,461,015,788,795,414,351,757,445,241,697,
593,404,890,808,250,657,196,420,296,118,424,424,671,761,721,023,163,611,586,
038,014,874,090,724,192,209,269,247,214,521,835,234,367,323,150,314,608,650,
517,978,968,852,419,884,128,899,904,223,933,770,404,888,245,804,141,480,343,
677,150,788,023,672,542,078,663,327,428,059,958,186,406,967,035,140,488,311,
894,127,598,839,204,708,102,434,001,522,060,321,305,714,890,341,988,906,132,
968,139,071,492,162,561,504,207,864,082,101,902,217,320,856,297,480,476,156,
714,253,908,438,142,496,984,694,543,359,426,975,908,938,205,535,729,885,932,
170,176,192,877,318,683,126,447,439,005,774,737,707,831,396,756,667,573,940,
926,110,330,082,836,812,968,348,015,897,586,526,722,184,888,535,632,360,317,
101,926,543,631,245,312,221,190,402,050,449,982,145,587,625,373,793,094,630,
541,709,101,774,796,108,667,513,225,077,795,001,070,339,830,418,622,027,317,
233,099,518,535,517,903,407,061,153,768,071,177,802,613,550,627,748,011,980,
753,363,807,988,303,010,055,870,626,712,870,923,205,548,013,840,017,994,117,
296,260,438,398,704,248,695,478,978,307,540,026,955,192,866,663,989,496,515,
590,793,157,790,001,076,887,021,193,669,758,021,696,562,083,029,203,796,474,
447,735,646,728,334,366,983,977,693,617,058,570,454,391,844,965,405,376,441,
846,685,520,754,760,938,885,497,023,782,346,603,429,542,562,245,083,800,598,
323,375,373,763,803,993,641,204,497,910,004,942,897,499,922,460,811,510,674,
858,974,349,952,525,558,745,637,283,740,331,053,052,868,151,552,497,371,148,
568,521,591,426,511,928,168,778,856,465,504,836,114,636,871,864,687,369,746,
331,054,712,259,635,644,985,791,667,146,323,119,543,604,566,363,163,463,549,
609,881,835,233,878,626,689,215,849,453,485,060,728,830,192,672,358,582,322,
032,638,358,857,636,618,112,266,774,236,128,028,157,920,331,334,238,672,975,
417,354,349,887,664,278,947,332,280,994,960,609,917,429,792,792,377,153,513,
991,930,692,714,434,851,391,663,890,450,432,069,094,679,407,220,331,007,403,
568,772,103,108,793,076,250,505,375,128,757,696,483,203,028,164,078,968,265,
498,337,793,058,150,623,235,114,843,092,605,536,318,156,500,249,189,903,310,
774,699,085,078,901,790,643,845,968,008,002,732,860,420,501,158,565,361,514,
299,672,084,305,843,167,924,595,953,160,563,667,878,552,327,011,384,960,761,
661,368,034,286,400,313,937,008,545,453,216,435,358,306,998,689,428,221,468,
904,474,784,766,626,038,560,869,536,866,941,329,859,233,633,591,867,178,774,
982,784,628,224,886,040,077,271,500,991,828,226,864,459,645,164,046,820,585,
445,492,917,469,426,417,616,872,764,386,265,465,417,182,121,451,680,887,794,
613,265,767,451,495,466,214,590,250,469,030,426,754,485,337,798,776,743,668,
440,608,088,156,605,830,785,637,692,927,247,779,372,678,456,136,979,612,214,
192,065,345,957,434,772,227,586,477,136,355,302,579,706,040,015,090,016,702,
757,806,809,653,917,295,200,214,122,279,930,991,166,365,122,122,550,937,776,
263,249,911,741,655,843,627,254,757,197,990,512,860,297,579,529,538,685,836,
796,409,182,057,567,545,702,583,613,760,307,166,079,555,609,724,995,505,848,
374,992,397,629,219,164,042,107,375,115,641,296,215,830,863,759,369,690,459,
685,043,711,862,371,477,360,309,650,217,848,295,321,153,564,987,809,608,938,
685,576,018,368,131,660,432,293,461,353,303,002,876,067,399,957,151,921,935,
381,107,427,277,326,966,462,931,210,074,808,619,737,023,987,403,798,657,993,
466,404,207,283,038,208,525,435,027,193,020,963,908,076,832,002,562,973,334,
911,846,710,457,632,258,355,403,637,676,212,232,119,860,302,224,599,505,136,
733,202,197,584,903,480,681,616,984,630,020,309,354,323,327,572,702,766,976,
877,257,496,182,584,195,934,397,250,630,352,498,027,476,589,310,111,081,798,
502,953,735,156,978,091,080,177,673,019,127,201,258,485,061,260,470,390,636,
364,116,503,900,401,762,439,557,101,960,112,791,914,909,166,289,841,169,227,
827,873,594,285,140,886,597,181,003,808,204,965,727,998,903,937,797,930,319,
926,070,118,823,419,242,015,068,255,267,984,139,018,121,314,004,168,863,580,
071,185,522,591,193,938,937,569,856,527,759,565,034,201,883,902,622,117,840,
747,182,761,381,726,042,310,354,240,559,898,784,497,893,149,879,684,731,984,
657,783,135,481,651,095,269,694,226,486,825,618,713,137,597,460,345,828,952,
388,485,896,108,846,287,664,913,380,166,949,591,532,302,743,683,193,928,480,
753,336,589,626,643,218,007,640,110,162,337,033,703,071,747,968,492,104,215,
256,725,745,345,772,347,051,950,877,257,465,002,438,257,875,159,251,846,977,
874,822,730,472,823,578,201,403,726,355,066,737,320,981,177,806,607,568,205,
880,579,446,024,685,454,112,694,897,521,669,978,860,153,681,896,004,671,514,
588,346,474,286,107,242,589,592,261,608,488,071,866,863,255,634,408,773,200,
969,022,326,712,096,554,904,241,722,030,707,546,457,929,858,177,445,639,390,
136,255,079,900,230,338,128,901,608,658,483,539,333,417,102,721,819,137,002,
171,872,021,376,556,166,666,547,681,975,572,714,721,108,753,201,231,717,619,
593,699,692,639,272,915,464,059,301,439,981,835,523,219,670,581,669,663,787,
642,625,172,057,265,022,836,612,418,416,576,606,167,915,489,434,791,640,190,
621,747,944,496,685,382,047,264,228,100,556,883,300,608,357,759,277,669,562,
192,983,650,483,116,004,433,894,762,639,803,554,843,413,304,207,802,538,659,
768,657,619,725,398,542,818,430,862,482,830,462,267,845,285,633,410,752,142,
106,225,572,449,282,408,768,959,425,501,815,643,861,593,342,665,252,541,522,
439,049,029,085,450,680,832,698,800,335,239,550,583,341,843,078,450,365,380,
862,143,140,028,138,442,286,541,828,836,849,826,822,969,301,390,620,318,817,
918,157,303,106,949,747,632,027,395,377,097,600,043,564,620,487,686,965,310,
808,367,732,666,453,177,138,402,732,276,257,726,468,550,148,674,304,300,453,
921,489,894,508,068,093,244,832,025,094,544,667,521,193,285,755,563,869,372,
928,994,240,278,286,125,297,463,974,338,327,743,156,930,257,360,581,537,249,
632,410,239,328,892,005,555,502,172,064,484,716,719,396,993,912,359,334,057,
341,781,872,312,634,564,068,761,739,470,953,830,279,088,834,835,991,382,132,
187,237,363,435,198,497,183,037,961,826,813,744,144,595,837,249,654,610,847,
736,291,318,548,948,632,766,917,880,991,907,296,633,105,047,582,991,402,510,
200,994,109,096,700,678,355,861,693,731,028,196,238,497,396,570,202,051,097,
867,232,137,875,409,745,157,479,005,940,452,970,405,263,668,228,603,739,379,
079,787,370,483,078,472,610,526,449,096,853,292,883,881,880,023,435,022,980,
511,829,019,245,698,357,955,759,760,118,016,606,191,022,374,462,678,666,519,
578,729,425,588,532,008,875,812,885,873,238,461,771,497,393,375,521,900,522,
508,159,498,308,232,214,626,043,408,929,021,085,646,562,457,344,960,540,184,
231,939,281,670,864,522,634,991,568,494,621,836,934,822,550,604,084,344,274,
702,768,196,908,223,452,669,255,764,753,744,771,699,319,037,407,283,514,619,
175,660,182,058,895,792,470,260,359,177,740,467,694,828,606,635,445,375,458,
768,461,691,253,935,984,168,549,831,062,924,149,855,051,034,543,301,601,886,
361,408,668,353,320,232,406,997,324,509,864,895,780,853,906,585,759,892,750,
961,340,893,878,466,099,414,612,322,734,453,558,738,721,399,712,810,048,232,
965,995,607,229,340,412,973,493,925,779,087,267,331,929,980,584,873,651,643,
263,553,003,449,807,280,604,715,337,122,683,507,040,841,953,837,748,521,580,
939,819,046,229,918,803,011,049,518,217,341,997,089,988,125,157,826,096,326,
644,514,038,687,374,783,135,645,617,765,425,514,870,503,666,960,081,483,111,
261,926,463,145,016,292,726,001,616,981,824,763,135,398,010,304,196,656,183,
886,139,298,690,623,305,952,923,518,387,248,633,860,664,439,062,688,320,954,
144,050,125,934,063,215,018,377,610,871,021,175,356,066,484,092,839,599,229,
592,652,290,956,768,078,009,351,037,401,765,348,295,716,433,327,893,649,553,
781,996,788,840,460,513,695,386,446,892,528,534,940,003,128,954,143,138,407,
039,848,158,219,901,824,128,896,874,647,142,307,336,287,313,871,769,969,857,
307,893,430,082,252,060,159,303,446,983,382,526,884,397,081,034,504,221,388,
482,720,557,220,378,271,121,018,943,503,619,823,183,996,508,558,250,423,376,
309,455,500,507,142,229,716,517,182,176,531,972,381,929,213,401,981,254,053,
110,846,166,115,229,018,610,602,799,472,229,381,214,480,933,367,581,793,982,
703,409,220,331,379,919,516,280,079,982,701,792,081,598,852,377,945,033,255,
497,448,300,574,559,958,555,528,213,655,065,057,606,904,613,810,540,961,217,
212,496,702,842,145,698,250,483,521,989,164,999,345,893,991,953,795,893,299,
153,812,963,024,331,159,484,564,850,532,351,316,707,302,683,684,466,779,240,
551,045,113,810,407,216,801,596,062,620,933,074,250,065,837,464,505,314,005,
496,895,322,457,969,100,973,322,267,856,073,148,019,727,171,804,700,347,642,
631,564,536,002,023,132,815,548,446,873,820,163,404,592,485,106,418,529,545,
718,937,250,374,116,878,787,200,687,201,767,077,240,266,598,297,105,502,626,
304,969,676,333,900,366,338,657,163,559,538,006,502,744,610,054,714,083,921,
205,026,788,509,272,849,831,304,267,254,051,843,069,165,771,515,759,675,279,
679,831,117,327,128,232,459,790,766,598,606,749,821,882,668,093,439,450,775,
553,500,341,641,820,932,354,033,496,769,730,038,168,356,458,280,035,451,308,
847,568,079,703,066,642,175,606,118,301,023,320,105,472,699,588,759,169,617,
733,096,620,674,686,503,126,542,110,077,088,511,626,289,419,922,541,312,308,
582,469,535,857,370,384,458,181,827,686,402,470,866,030,031,439,012,240,326,
242,656,767,197,672,901,311,867,690,821,766,459,678,990,073,688,043,718,784,
078,615,502,829,978,042,763,717,256,178,497,070,908,402,112,425,147,423,294,
532,057,536,579,982,303,798,256,961,598,751,077,547,016,575,351,047,412,227,
089,462,575,462,767,409,012,845,574,948,100,702,763,193,256,137,125,132,840,
701,441,853,120,962,141,331,857,747,693,108,675,316,888,444,009,515,950,882,
740,843,857,266,259,198,627,348,050,475,355,032,326,869,561,962,375,176,655,
275,734,978,973,246,875,933,445,121,232,052,834,290,483,830,832,955,063,134,
840,903,054,606,212,698,850,409,720,003,485,175,654,840,954,001,337,892,221,
791,636,417,182,764,762,594,074,389,983,440,399,420,674,217,968,076,376,190,
479,753,817,326,993,217,714,028,281,059,118,822,099,253,279,992,097,042,253,
512,997,182,004,213,548,289,469,791,870,264,718,271,763,041,764,807,621,433,
510,895,286,274,507,558,064,152,443,803,925,754,066,958,806,088,561,290,512,
287,300,084,915,364,299,823,625,278,706,369,180,355,052,086,549,924,002,578,
885,007,863,348,124,961,138,430,171,340,377,890,844,219,012,674,986,158,891,
252,111,113,934,976,538,045,340,202,620,548,632,572,916,754,377,262,708,430,
352,217,111,051,940,043,977,517,852,703,127,123,202,836,806,924,315,484,661,
318,074,679,661,795,383,582,655,377,476,316,791,719,577,224,264,906,027,003,
508,601,831,294,559,361,914,029,727,761,559,491,808,229,854,142,180,898,001,
417,918,454,034,594,534,615,600,536,938,336,095,686,795,508,678,892,337,845,
808,936,511,477,961,211,729,119,742,932,190,416,920,416,751,554,706,492,580,
799,490,590,995,760,268,948,919,425,981,024,853,430,122,060,288,269,915,068,
857,257,678,689,217,757,450,847,163,575,738,310,495,510,677,639,817,367,241,
464,986,416,821,365,516,739,018,408,701,805,692,120,449,760,698,597,145,239,
059,699,589,723,931,426,579,191,161,092,164,999,739,453,769,930,816,133,905,
133,677,620,735,781,607,066,769,492,450,785,169,270,841,316,973,558,684,161,
151,319,930,257,368,596,445,615,234,808,082,862,558,477,927,831,606,128,466,
907,085,895,358,269,314,583,407,178,497,045,115,207,451,209,664,982,102,118,
426,747,151,231,512,671,996,064,239,158,045,688,637,127,169,596,580,720,146,
652,046,493,275,726,672,367,884,724,179,266,262,027,113,783,888,407,481,836,
235,051,987,883,387,368,159,125,052,017,550,516,161,268,217,796,168,149,900,
126,712,515,569,414,889,463,871,328,587,903,051,114,957,600,157,888,199,263,
939,861,109,869,638,669,487,182,078,393,267,897,762,148,112,998,247,676,404,
363,524,527,000,371,138,146,566,974,491,753,179,554,794,198,655,044,780,365,
485,448,062,645,359,496,413,785,342,362,838,723,919,920,229,892,722,730,525,
440,231,986,659,083,133,817,107,573,485,781,816,634,606,736,770,296,996,824,
226,266,698,360,471,384,044,671,609,141,392,265,768,099,484,313,159,166,599,
890,428,727,550,389,724,180,587,661,450,018,537,550,889,724,489,512,760,803,
349,107,143,095,009,776,273,171,859,846,919,472,878,587,878,627,105,974,148,
044,434,404,432,202,772,533,657,773,048,614,344,511,635,858,122,660,902,076,
725,048,033,398,952,500,558,981,656,899,972,701,003,235,307,802,129,488,050,
721,509,074,254,548,498,166,471,762,277,585,552,667,659,487,203,968,152,417,
559,754,578,567,779,525,543,041,238,080,153,331,893,577,050,121,683,938,403,
063,715,707,800,087,002,106,636,436,817,618,329,326,914,129,181,191,609,006,
416,636,486,849,779,581,510,840,577,226,085,822,528,368,635,626,114,529,676,
531,113,703,700,396,208,092,266,026,331,184,764,139,320,874,570,290,380,043,
740,543,822,467,478,079,515,837,975,330,279,590,474,059,287,449,128,348,552,
389,203,166,213,399,430,385,410,313,107,381,767,801,858,789,042,483,612,738,
323,805,456,764,682,529,757,811,240,385,823,996,991,890,373,577,020,147,248,
843,808,692,571,922,778,510,948,900,983,965,911,896,273,790,896,998,056,566,
681,286,020,849,261,748,835,592,608,353,556,935,088,837,891,568,807,927,304,
174,426,385,239,867,335,818,548,102,400,732,958,615,162,184,244,931,174,311,
058,249,932,967,391,900,656,316,114,312,043,545,137,375,438,549,248,687,975,
256,099,220,616,448,071,885,457,101,571,710,130,751,880,661,976,400,126,203,
721,532,255,199,471,302,465,530,843,706,025,384,475,270,696,554,449,137,563,
974,329,613,607,211,180,504,679,056,111,726,787,662,553,854,431,867,771,736,
996,700,157,581,204,302,593,895,739,372,567,753,864,155,136,093,910,210,942,
343,041,209,279,782,808,714,833,968,485,330,135,379,934,075,958,425,465,050,
028,613,912,850,380,452,162,777,041,208,828,417,314,256,350,392,348,360,864,
997,373,491,479,255,280,716,268,250,013,757,561,466,215,721,812,834,953,936,
390,955,159,305,844,096,982,671,815,965,543,368,857,500,570,043,197,729,574,
466,609,677,601,687,093,778,290,880,747,217,333,664,170,754,441,878,267,989,
063,644,559,498,135,997,861,763,805,011,135,044,458,248,367,407,500,920,784,
395,779,466,572,388,024,284,365,712,666,579,200,317,105,335,093,223,126,559,
626,750,176,684,755,991,805,570,545,281,628,709,487,652,999,783,742,139,258,
001,431,275,783,931,087,295,504,195,673,428,711,427,187,885,393,154,917,851,
659,814,172,176,533,091,898,531,421,053,533,224,185,039,621,263,389,685,294,
657,477,836,205,176,989,891,733,591,087,185,737,395,195,301,721,854,131,924,
682,143,602,114,522,578,953,635,663,474,965,438,025,514,596,832,224,596,777,
290,536,791,133,207,116,232,559,013,169,795,881,723,151,257,025,777,681,062,
300,055,952,379,018,689,018,816,594,335,548,866,018,471,305,473,831,294,519,
186,341,334,593,838,780,109,809,823,392,121,310,615,770,253,995,379,994,636,
437,289,390,483,628,520,270,131,247,066,768,393,228,061,886,955,571,653,668,
882,862,599,579,001,803,908,202,651,908,071,842,604,575,706,061,783,233,258,
815,540,791,751,515,862,693,076,801,018,015,337,696,564,410,281,591,490,815,
250,259,421,929,993,642,364,481,040,278,927,742,037,441,572,932,334,326,103,
477,870,101,025,414,684,552,389,103,582,937,807,078,033,501,869,391,117,225,
608,315,541,795,573,263,407,269,571,434,019,758,690,363,809,420,393,140,616,
362,184,457,776,538,582,958,291,400,887,649,583,226,136,490,658,751,966,757,
398,677,927,425,026,025,609,724,707,802,187,672,763,202,905,624,221,614,614,
250,859,437,936,538,223,073,228,231,723,483,407,136,339,923,475,754,714,870,
118,148,363,336,586,983,615,024,529,305,676,542,147,295,851,117,019,995,727,
361,001,288,921,759,061,833,631,386,168,194,254,421,186,045,613,386,519,062,
008,172,167,848,250,243,868,631,381,347,390,467,720,126,067,060,450,361,465,
521,456,429,921,190,898,239,025,217,478,382,672,881,961,261,690,801,253,786,
930,816,648,805,103,743,700,940,388,877,242,008,273,000,445,418,298,585,851,
588,970,603,439,885,392,336,113,197,325,967,610,243,410,785,162,424,928,639,
034,365,170,112,327,505,322,795,671,690,391,270,675,759,487,703,714,085,965,
692,703,923,408,154,675,377,030,422,540,658,810,258,197,214,632,420,196,783,
041,865,767,258,146,744,648,844,697,185,150,551,163,483,184,535,244,410,650,
121,138,513,277,166,090,493,178,686,722,216,504,641,013,633,043,024,086,053,
896,252,597,928,916,820,948,759,818,770,475,246,897,768,628,166,743,464,150,
729,637,111,414,226,124,492,131,425,518,449,440,140,674,421,416,019,931,678,
129,162,261,830,610,981,503,053,846,726,663,146,130,749,954,879,259,869,912,
600,458,479,687,124,014,175,637,546,646,502,199,567,518,023,260,972,792,960,
696,664,329,084,776,946,632,890,688,621,962,231,038,789,577,461,161,443,059,
289,107,338,504,163,857,531,553,424,474,153,562,425,304,472,976,994,208,174,
672,803,032,237,949,610,331,160,718,861,636,343,899,550,876,673,704,538,679,
493,995,356,416,475,613,294,393,053,877,211,763,462,657,242,582,980,074,222,
976,114,124,841,292,362,346,134,330,709,621,571,184,400,365,196,210,350,407,
782,265,107,002,668,002,458,960,571,771,574,452,792,686,014,212,195,314,513,
125,132,081,961,637,784,033,937,772,166,661,192,400,365,639,550,142,737,691,
307,127,947,268,449,872,557,851,356,151,774,313,673,728,292,513,674,356,943,
657,170,674,711,760,476,360,181,856,530,284,334,605,415,024,000,133,036,195,
126,807,339,167,180,227,567,463,306,174,970,251,867,321,433,560,880,254,670,
239,673,416,141,155,987,777,920,747,966,936,956,524,325,081,603,734,715,726,
535,169,540,228,285,234,558,710,388,878,900,366,670,899,190,775,010,571,154,
143,604,718,207,453,692,127,226,209,008,162,576,946,949,313,983,949,536,315,
235,074,545,008,657,250,246,243,399,897,251,973,308,137,606,348,561,851,730,
999,058,879,476,679,371,884,512,676,474,166,749,657,067,752,629,474,758,723,
092,751,702,646,775,860,165,086,579,725,481,643,675,459,472,226,673,672,676,
785,154,696,339,435,128,117,419,944,163,504,138,707,061,762,361,012,810,948,
286,069,692,003,263,816,033,758,441,670,384,150,759,780,598,257,097,326,607,
631,528,988,937,334,853,241,087,259,195,240,817,473,205,233,217,835,358,668,
036,892,595,989,402,713,287,748,555,218,993,711,081,845,722,530,228,328,753,
790,975,955,035,904,403,206,076,601,118,816,460,523,203,818,772,953,837,776,
022,754,517,280,170,758,128,230,624,747,950,374,429,937,679,312,696,564,305,
160,485,274,718,181,799,259,048,056,214,116,820,710,755,673,624,107,188,300,
017,823,024,978,942,928,561,597,874,841,754,274,158,931,873,517,416,417,911,
671,866,897,420,012,547,411,574,218,625,897,073,345,653,876,762,316,492,960,
650,179,711,317,721,607,324,940,069,815,070,664,971,746,022,297,428,598,087,
341,855,266,274,496,245,145,576,208,644,688,708,933,281,843,441,000,250,116,
914,386,397,436,947,978,969,333,047,196,249,024,597,749,073,646,592,452,550,
527,776,660,850,764,163,070,430,879,602,789,960,771,072,985,559,120,517,491,
196,673,220,698,010,379,421,748,148,542,995,077,285,908,544,019,566,040,197,
201,034,276,150,263,088,777,986,900,433,910,639,771,094,627,585,567,222,469,
622,854,393,731,390,504,598,683,924,861,322,913,216,516,547,396,157,541,004,
533,651,438,941,887,639,124,347,298,117,756,655,945,731,547,475,143,207,674,
890,492,080,011,547,534,654,698,233,386,751,272,819,425,632,199,390,015,107,
193,091,848,165,242,120,741,281,489,361,753,711,220,869,470,061,663,373,339,
047,280,870,542,185,987,854,245,984,646,842,032,228,696,224,754,610,633,856,
944,369,911,288,702,859,257,982,547,720,556,329,925,085,239,171,894,974,991,
118,871,375,085,622,224,099,103,441,535,491,355,548,162,293,612,881,760,711,
813,099,668,195,711,414,348,149,810,538,638,156,587,218,392,952,753,732,305,
823,738,427,590,445,930,857,787,817,117,857,224,791,461,318,335,874,429,886,
445,130,279,514,827,983,218,697,003,752,904,367,302,333,628,577,944,601,777,
558,771,910,439,447,566,578,159,344,509,991,982,262,280,403,970,622,340,351,
614,140,818,748,554,925,116,986,283,062,822,186,760,426,213,255,389,887,248,
345,675,008,471,363,832,330,335,138,929,487,625,884,326,873,168,295,064,966,
447,882,420,747,019,661,202,216,861,999,072,227,001,413,997,326,345,226,104,
258,212,447,550,106,764,555,762,784,621,063,323,142,187,334,419,472,873,578,
349,571,261,312,028,869,541,688,816,537,658,921,126,950,841,942,843,710,821,
744,949,804,572,141,625,394,529,570,120,521,900,060,021,722,135,359,592,270,
960,261,822,724,544,804,823,151,730,372,332,021,085,399,202,499,457,842,285,
450,553,179,011,969,574,499,254,302,882,890,699,661,095,435,461,730,893,445,
088,700,135,295,836,519,554,193,149,820,753,964,465,127,938,838,962,863,285,
917,110,073,924,573,213,259,744,040,098,970,522,680,408,492,596,763,544,940,
189,009,177,999,938,068,932,813,307,453,708,212,446,055,399,345,155,838,354,
978,278,202,955,936,215,658,523,584,519,356,494,179,005,268,215,781,730,021,
225,284,780,792,602,699,685,705,142,590,486,399,693,680,757,519,504,051,205,
283,049,543,194,524,043,710,847,908,334,915,749,618,773,353,889,581,002,422,
837,310,929,532,268,898,396,438,806,943,839,764,143,911,133,843,377,226,271,
711,733,515,486,782,823,301,320,524,388,381,715,569,627,858,575,162,345,624,
831,855,844,812,941,190,661,338,822,473,210,159,642,254,801,559,842,178,365,
473,000,313,375,856,671,878,943,230,892,826,782,150,316,790,558,517,367,631,
310,703,514,444,708,519,281,313,857,882,045,317,562,552,424,842,140,823,185,
400,983,879,700,381,820,471,645,905,675,815,006,275,281,453,383,256,147,034,
144,521,076,495,124,169,500,634,745,590,787,128,343,832,979,000,874,406,984,
869,339,624,626,625,462,273,208,891,776,778,977,500,518,805,961,351,207,529,
617,011,381,484,331,887,441,226,453,927,001,283,694,350,691,098,125,151,547,
348,690,530,428,814,092,612,341,166,641,041,475,391,692,232,663,136,183,783,
394,639,051,371,118,352,324,774,448,010,977,598,311,305,895,151,272,313,957,
897,897,239,938,756,888,520,746,016,740,133,987,546,234,466,365,394,893,714,
909,745,721,010,106,594,364,445,176,398,177,307,305,502,210,583,383,145,516,
724,279,394,072,530,299,179,001,238,146,111,666,738,966,439,285,200,309,697,
823,453,626,945,516,617,912,686,496,541,738,517,948,804,215,994,150,565,857,
831,944,536,697,348,191,601,297,969,737,638,440,781,359,314,973,965,550,000,
421,502,673,634,931,795,408,370,782,323,614,449,269,344,331,714,130,106,450,
829,657,811,354,361,395,703,026,871,239,557,068,542,204,654,995,647,045,418,
203,999,055,012,143,881,048,601,535,255,832,849,826,577,958,030,359,800,070,
635,095,073,342,503,416,807,593,158,860,647,818,549,991,561,632,956,449,587,
187,126,601,483,667,077,709,019,105,707,402,655,780,083,378,176,533,789,704,
319,324,670,803,406,058,331,633,421,904,936,556,496,893,691,297,039,528,549,
229,556,580,929,781,339,772,121,693,269,177,836,217,782,116,297,950,425,590,
339,815,700,319,498,494,815,306,254,089,135,205,824,966,598,539,830,169,744,
205,760,322,997,851,933,197,523,879,843,643,872,006,422,441,984,777,115,254,
142,902,059,737,126,177,044,013,050,586,844,920,062,940,284,481,390,080,717,
653,995,717,602,014,173,348,439,144,464,227,355,253,667,156,458,014,317,523,
765,404,363,853,491,540,045,063,335,482,622,002,194,357,352,074,953,112,496,
711,327,792,914,913,325,525,438,188,548,636,312,612,763,551,862,963,652,471,
346,639,432,983,499,383,082,113,988,950,530,561,264,186,122,072,111,155,480,
264,457,350,694,179,955,409,561,682,758,803,207,015,267,656,311,051,433,251,
207,298,666,588,543,775,347,566,664,369,205,050,252,511,665,390,687,796,146,
357,793,412,435,125,380,139,269,129,198,741,249,685,731,143,165,622,257,742,
713,610,440,798,275,212,477,982,552,777,833,362,934,810,856,721,381,660,263,
214,968,296,887,028,906,344,549,976,168,689,047,626,139,196,048,971,047,938,
219,649,521,530,456,889,517,605,811,621,130,124,584,684,453,042,319,192,560,
301,582,686,151,628,823,296,703,566,669,256,800,622,067,726,010,125,121,385,
735,872,134,817,112,005,596,942,448,400,170,905,422,349,365,589,673,484,898,
732,930,173,828,845,826,988,246,473,408,531,902,073,758,625,189,705,494,278,
852,321,605,338,483,759,781,537,602,937,720,470,756,585,114,928,791,618,983,
411,696,115,949,801,018,634,860,705,471,486,298,274,509,587,570,379,989,238,
170,391,744,431,825,580,828,828,023,466,132,742,893,459,838,014,935,469,804,
707,134,602,098,176,929,035,748,563,948,675,165,033,162,148,684,151,151,285,
389,292,674,135,780,926,365,168,314,521,053,743,300,990,628,261,920,707,045,
284,215,075,852,582,666,371,324,406,711,009,976,933,922,616,900,848,527,911,
111,039,057,612,559,892,967,488,551,942,239,043,726,922,621,555,656,985,103,
924,529,562,028,276,638,386,588,956,072,185,516,900,057,822,430,408,765,844,
587,513,041,200,171,445,748,664,832,332,614,809,072,818,530,103,435,688,768,
620,027,755,988,896,403,438,817,200,112,718,242,527,093,429,633,057,646,446,
238,912,134,056,393,726,075,441,097,949,208,758,054,977,129,179,917,450,765,
230,166,357,697,504,356,386,223,524,012,166,417,279,901,200,235,398,713,494,
108,093,525,182,047,493,890,425,327,809,923,438,293,954,305,375,850,850,021,
061,120,006,557,995,563,328,229,254,765,830,670,617,403,411,413,880,773,850,
836,267,294,496,356,212,319,186,765,015,631,627,473,083,968,512,667,750,976,
070,567,645,395,741,667,276,181,956,101,133,974,897,152,099,238,129,505,446,
853,308,897,572,436,750,912,841,722,913,852,212,540,952,756,594,225,886,133,
795,169,850,721,537,789,729,197,599,142,920,964,518,157,183,788,771,220,127,
814,970,431,558,806,084,451,002,535,936,328,301,152,063,071,440,283,797,114,
250,145,701,742,280,448,982,531,045,218,418,976,054,961,214,489,986,676,990,
802,534,224,790,529,027,908,238,707,855,235,287,848,679,971,859,665,027,765,
063,182,837,179,764,985,392,767,013,026,750,198,942,433,047,696,167,805,222,
344,187,804,230,586,787,160,060,411,264,911,080,218,407,813,941,503,120,824,
444,959,454,931,865,397,998,240,671,436,250,128,346,975,279,361,122,091,477,
601,119,746,238,711,087,749,825,660,101,453,053,781,809,669,816,534,296,695,
788,583,202,691,209,796,058,037,628,684,218,908,093,561,940,631,184,104,686,
132,086,120,827,586,295,584,368,545,278,021,692,473,994,886,820,414,258,855,
407,323,035,389,357,404,873,085,446,792,420,905,370,203,710,944,267,482,646,
006,030,048,028,437,186,587,249,873,635,538,491,842,814,263,638,071,787,395,
131,137,142,136,934,962,055,494,658,880,015,003,599,922,406,560,715,893,330,
025,528,548,282,176,117,521,493,399,896,061,251,102,196,813,517,252,951,196,
818,797,972,537,969,462,193,022,658,906,216,084,702,306,941,307,109,382,846,
321,884,392,959,124,831,069,982,810,548,604,026,899,979,290,448,205,389,601,
032,984,416,958,960,445,196,314,463,471,547,741,912,124,415,857,665,865,466,
582,167,514,573,769,547,332,501,707,093,705,845,258,226,093,363,952,150,912,
586,348,172,223,213,625,458,735,976,372,765,485,713,010,728,881,680,673,102,
960,099,615,221,501,535,609,612,437,856,177,586,813,151,587,764,162,999,164,
303,635,858,102,995,502,052,205,065,441,657,256,907,278,023,136,038,891,750,
333,311,682,396,306,507,239,816,562,941,834,902,318,455,305,087,963,170,925,
367,310,833,809,576,329,180,635,237,037,187,306,025,919,521,311,824,178,873,
936,314,344,857,117,912,147,022,121,320,690,987,651,024,840,341,869,023,860,
943,375,933,057,701,893,806,072,204,920,526,085,727,480,796,256,908,913,600,
773,755,220,408,919,581,392,437,409,060,312,392,684,359,509,946,405,171,614,
151,562,157,045,191,361,168,562,327,814,084,471,972,051,090,941,934,057,814,
930,345,682,731,325,667,865,591,895,459,915,177,406,318,883,967,974,551,190,
079,259,155,492,209,557,687,086,577,320,264,317,115,194,303,747,653,250,337,
296,564,464,647,211,865,960,592,928,776,788,795,265,485,751,005,233,008,228,
454,394,770,359,968,562,640,190,985,509,522,321,963,049,789,573,239,703,689,
727,279,895,170,148,883,515,075,901,003,364,444,340,796,729,338,858,194,858,
602,211,199,580,192,800,360,735,337,755,197,203,150,740,238,405,349,549,694,
422,875,346,266,720,420,721,884,485,540,632,699,729,057,035,452,017,102,492,
006,503,322,326,222,137,910,732,607,396,524,952,016,140,010,085,146,788,510,
812,294,584,044,807,952,264,113,688,591,705,283,812,994,866,813,318,108,180,
279,344,821,060,660,751,527,813,475,158,399,351,135,257,451,733,754,830,177,
091,333,156,046,782,016,099,501,647,438,736,639,131,656,633,082,173,600,213,
854,770,252,074,154,658,146,095,706,964,153,904,124,130,831,321,895,228,291,
567,137,224,380,361,679,746,396,711,072,256,039,629,509,678,491,354,803,302,
198,664,685,124,687,250,134,496,596,297,493,935,085,263,472,470,892,756,088,
867,833,673,187,820,490,763,405,866,578,763,561,735,563,758,212,286,903,896,
805,687,381,313,249,985,606,045,185,246,980,237,161,087,796,200,304,697,198,
224,977,451,265,713,795,456,418,819,484,777,618,732,108,320,014,986,200,707,
443,885,082,338,515,445,116,411,188,133,743,086,504,113,986,509,412,217,392,
069,454,870,574,883,215,939,732,412,172,185,419,582,997,360,968,240,502,608,
588,113,295,794,798,730,276,996,269,570,759,440,161,098,577,401,886,351,826,
149,559,559,098,494,374,831,122,077,330,908,055,034,559,950,122,455,388,424,
034,415,178,815,680,163,678,562,025,671,727,967,557,415,856,042,137,872,283,
585,651,167,625,125,330,941,439,670,189,374,441,928,241,502,480,380,051,582,
421,265,190,941,770,052,119,960,220,352,760,410,897,490,725,617,636,122,575,
736,041,270,366,156,743,245,001,348,018,394,971,605,608,864,054,157,864,398,
697,478,651,208,600,806,288,588,911,354,748,475,186,804,663,890,498,203,090,
594,817,528,806,722,413,759,037,427,281,008,859,850,340,599,984,773,355,846,
310,312,943,028,591,637,658,869,782,950,025,809,575,673,731,253,197,505,828,
380,516,036,992,951,298,858,799,510,484,715,513,033,548,998,045,059,665,968,
426,855,004,360,443,240,462,328,909,525,514,004,981,556,238,669,707,306,202,
468,991,477,668,736,340,203,017,405,331,491,938,546,215,226,416,917,813,401,
028,777,953,455,335,980,612,984,006,435,151,571,514,618,697,183,827,696,091,
004,625,195,921,313,444,239,829,191,664,895,684,418,779,263,562,406,530,442,
283,850,935,509,359,252,695,144,977,977,949,615,461,005,132,339,044,663,524,
094,490,803,867,759,026,656,458,942,037,882,532,728,279,866,013,716,521,320,
567,611,871,851,885,593,581,558,890,834,786,366,989,628,496,407,251,054,839,
041,447,185,108,188,648,768,295,859,504,322,071,210,552,911,612,615,575,689,
282,032,398,909,251,597,553,507,856,918,428,602,727,626,701,761,000,258,083,
343,126,382,805,825,528,424,340,846,387,705,935,122,207,984,511,437,442,285,
270,328,682,005,010,864,382,111,143,328,945,068,285,317,101,189,841,488,460,
464,197,274,369,886,654,601,707,010,722,245,462,389,572,100,125,193,050,030,
235,603,168,921,515,375,601,886,783,980,766,530,510,627,202,510,800,774,492,
119,767,793,482,665,645,990,772,055,760,164,632,487,875,813,178,801,662,128,
629,177,494,953,709,673,788,319,435,685,651,990,019,119,355,282,814,592,675,
394,997,435,676,543,154,043,823,720,426,946,408,255,649,397,543,786,361,475,
107,354,944,073,698,056,672,287,059,611,772,503,958,278,882,329,826,466,710,
139,220,472,952,791,284,435,343,914,815,713,298,244,285,971,576,424,418,582,
599,898,511,367,184,405,174,563,390,008,330,461,293,894,767,524,902,568,332,
595,537,403,308,750,277,748,332,524,768,423,982,311,799,365,364,172,709,150,
398,167,549,524,826,391,881,618,921,682,079,335,770,111,864,565,964,710,477,
557,789,285,623,132,831,483,588,033,486,048,991,186,290,675,708,131,009,885,
677,916,586,254,167,266,557,430,365,720,269,791,511,153,498,181,571,529,203,
207,353,597,676,362,423,362,424,988,348,299,316,294,020,110,095,882,969,520,
696,394,284,217,848,932,664,005,085,803,666,552,340,290,433,055,556,268,765,
663,061,298,734,336,186,789,965,404,623,731,800,298,570,332,335,526,254,271,
753,875,314,537,006,549,692,897,376,100,645,403,983,275,592,240,645,350,903,
776,031,037,385,169,288,800,709,814,471,923,175,419,738,946,886,635,235,119,
920,679,603,300,573,854,433,290,302,278,813,063,462,210,055,413,230,213,113,
184,900,605,973,213,112,379,437,219,191,770,291,616,697,632,908,738,670,272,
676,946,787,829,962,300,823,358,311,233,511,440,892,357,134,588,556,731,547,
757,063,079,922,592,408,022,251,820,723,685,229,810,621,293,768,445,474,206,
770,131,336,849,879,895,210,712,436,102,211,042,681,343,462,780,367,902,633,
598,175,019,997,053,199,271,065,848,847,454,197,024,500,686,847,724,496,351,
379,525,153,545,567,539,927,613,215,823,310,128,569,581,965,242,829,357,027,
486,119,451,046,261,503,625,330,629,145,318,299,335,124,580,721,212,842,029,
967,967,485,472,693,396,948,009,701,941,079,377,629,509,180,786,068,333,954,
072,576,526,306,606,364,944,114,893,426,562,860,089,360,241,924,946,273,680,
190,688,947,154,143,938,987,311,875,831,162,117,160,250,000,621,697,088,429,
211,476,968,312,190,892,834,479,780,469,039,504,829,450,536,949,870,874,359,
000,011,510,738,927,169,792,642,191,710,277,543,807,735,348,334,280,443,619,
524,833,144,881,341,440,898,732,465,386,526,189,719,758,879,829,205,293,383,
361,928,755,207,146,759,452,490,408,598,538,390,079,920,328,598,766,304,445,
335,852,591,099,899,691,522,544,145,873,641,625,185,723,778,617,413,371,633,
051,315,615,916,633,191,980,578,607,884,121,990,067,166,846,498,895,849,647,
116,383,044,453,779,245,374,396,644,139,074,066,287,079,561,934,324,169,743,
261,130,435,375,447,825,274,274,757,087,974,528,925,915,505,912,136,895,002,
436,237,307,706,222,838,256,610,468,762,989,824,673,615,898,061,051,782,512,
593,569,174,133,155,091,556,386,959,374,128,284,616,659,836,047,921,440,797,
500,001,665,354,344,954,774,523,669,079,217,021,844,103,435,101,417,707,482,
266,080,548,935,445,706,093,621,539,098,726,158,196,845,253,953,905,832,031,
706,118,537,216,289,875,642,989,555,013,572,533,341,614,462,578,632,217,402,
385,870,087,491,211,876,384,824,613,201,482,188,702,350,023,115,339,779,143,
809,259,333,703,479,718,489,135,925,428,305,507,426,742,825,848,509,274,428,
214,711,096,650,574,392,318,293,680,946,426,117,807,584,703,537,367,155,757,
116,822,935,440,701,787,261,079,057,146,931,031,835,926,658,203,733,894,379,
992,315,906,710,146,828,761,869,042,051,653,805,657,306,766,348,228,099,734,
524,334,781,948,868,478,462,884,505,875,574,875,217,438,450,918,757,146,257,
675,267,793,048,106,303,133,168,424,962,227,517,517,143,086,903,233,452,598,
646,802,092,782,289,387,244,889,831,136,117,696,721,733,925,971,528,421,051,
068,478,308,801,921,070,237,861,639,069,207,684,359,038,596,335,676,152,663,
801,691,587,435,190,137,316,260,469,179,443,905,834,202,220,984,724,954,669,
087,550,993,128,781,998,501,810,309,508,398,145,282,219,884,387,160,762,001,
499,437,939,655,640,394,370,849,064,628,346,209,234,473,917,033,865,720,965,
224,691,845,808,590,202,350,111,311,578,434,590,189,068,840,001,697,939,493,
826,384,442,260,766,212,286,534,977,126,046,953,102,616,074,056,181,281,643,
559,868,363,082,136,126,344,910,023,132,112,186,660,935,722,071,523,730,359,
712,444,208,469,825,591,771,399,265,957,295,329,848,183,076,748,405,211,738,
059,583,859,340,789,979,694,252,477,213,038,800,017,237,579,889,356,158,401,
626,976,727,407,194,370,698,342,832,931,693,639,269,694,990,723,306,618,467,
432,074,732,845,889,927,662,023,224,427,714,670,632,662,901,116,849,583,229,
091,031,702,739,772,735,543,101,363,962,927,718,146,319,756,843,517,759,075,
430,396,242,819,067,929,093,437,910,237,428,013,096,088,123,786,310,134,938,
449,954,840,648,726,008,968,287,693,043,266,718,733,251,478,895,994,507,452,
739,088,300,727,286,471,628,013,081,469,866,246,418,908,937,290,323,915,513,
274,051,680,848,555,959,011,122,147,215,298,225,568,826,450,103,806,588,060,
717,131,286,254,772,976,496,141,023,453,262,329,074,356,762,213,054,467,715,
349,926,730,113,544,487,947,928,682,731,042,288,691,208,570,317,506,620,221,
698,899,622,285,178,273,904,783,706,239,120,207,789,109,375,572,869,232,800,
148,079,794,553,356,514,298,703,472,011,932,203,940,353,406,898,426,179,670,
696,440,494,855,590,317,082,789,289,641,651,081,586,180,891,489,552,816,820,
868,994,570,210,555,416,678,761,850,970,985,951,188,152,815,777,048,221,477,
288,294,349,928,110,316,572,244,230,443,259,136,208,581,888,806,099,623,334,
685,558,044,895,087,033,680,811,735,790,133,591,098,276,199,477,924,831,471,
181,723,791,166,770,096,241,781,631,491,418,946,317,703,443,513,616,045,818,
302,642,820,006,361,031,058,514,531,897,802,563,344,478,931,460,217,633,892,
662,121,213,162,027,473,432,136,764,157,980,568,734,816,813,453,605,381,143,
261,713,467,614,641,585,993,286,329,319,908,514,967,985,450,800,363,969,480,
653,340,222,760,422,077,850,289,757,151,289,539,763,013,591,491,352,667,705,
601,336,488,769,594,552,219,560,117,273,303,150,009,339,443,025,827,666,833,
042,419,926,263,190,904,608,934,775,729,949,902,217,632,956,218,572,687,941,
222,131,901,510,580,680,371,642,901,102,974,841,517,758,235,512,699,901,708,
103,111,302,515,799,114,193,653,511,232,149,533,665,333,743,226,459,361,712,
365,026,292,686,915,705,103,250,150,748,973,773,683,202,364,369,117,915,842,
121,697,458,958,397,178,824,268,495,147,735,737,129,366,735,887,719,466,096,
168,814,041,375,366,258,202,747,612,810,348,096,168,934,669,975,817,428,303,
227,946,804,326,724,180,073,535,931,252,584,321,703,238,950,989,317,738,926,
567,045,445,505,218,874,701,379,815,034,023,926,927,540,959,185,292,440,906,
665,847,687,471,470,809,921,682,933,000,969,983,512,368,476,253,928,211,587,
663,330,782,094,568,466,562,919,077,779,241,950,798,848,844,122,990,906,753,
523,028,325,724,096,905,205,183,113,891,610,645,859,768,640,715,954,949,140,
676,412,022,910,655,757,658,638,669,297,932,466,691,878,207,178,048,410,908,
573,790,373,173,072,089,327,759,133,594,234,290,443,544,099,018,508,586,493,
482,014,222,819,044,914,755,625,263,257,708,949,494,866,346,116,647,987,000,
903,669,277,510,217,501,088,432,382,564,812,120,110,917,069,326,230,827,140,
775,755,180,696,199,026,554,061,692,041,363,611,391,628,946,800,759,814,582,
518,231,658,212,700,331,081,219,796,774,140,532,487,689,705,086,250,597,712,
367,760,695,242,570,956,364,041,450,384,225,087,026,256,838,970,673,208,368,
017,950,774,984,649,306,913,770,681,598,733,683,417,636,227,466,646,171,617,
160,132,590,551,308,451,026,162,307,189,987,594,339,589,467,058,623,953,271,
958,426,308,070,216,365,150,518,159,100,441,423,035,463,618,667,824,034,901,
331,418,985,317,408,411,930,653,708,765,577,610,883,220,195,393,229,015,460,
935,495,841,998,310,365,172,114,752,104,325,028,592,960,874,931,676,652,598,
260,817,306,931,108,587,688,986,474,660,262,698,187,310,986,586,201,704,651,
011,588,955,789,367,918,754,279,980,117,905,149,915,760,090,088,031,877,564,
377,017,881,870,000,668,299,835,648,241,084,949,892,656,179,954,841,902,196,
610,972,537,645,056,563,484,804,597,194,658,382,198,272,034,972,013,557,719,
633,820,332,545,037,477,640,283,811,994,291,550,426,891,468,448,329,901,011,
272,628,145,852,587,899,901,433,138,041,106,450,688,209,781,454,515,676,167,
023,131,554,985,266,965,023,492,543,602,418,456,400,112,514,254,340,949,663,
397,157,483,557,888,456,957,624,330,817,957,704,437,429,552,833,965,056,831,
185,821,379,190,802,068,747,318,546,956,813,880,275,374,049,363,049,376,141,
222,600,974,897,389,570,571,032,893,707,897,516,421,487,426,325,133,322,299,
655,417,869,162,225,822,803,027,128,437,159,361,834,329,896,536,605,845,752,
596,458,625,944,365,228,399,980,968,588,096,111,265,969,937,229,466,308,653,
330,908,173,842,787,047,432,457,483,956,194,258,285,200,373,418,884,045,111,
179,694,807,879,645,116,364,938,948,346,685,277,678,457,124,609,033,593,493,
108,627,221,279,503,405,537,262,186,230,847,958,667,185,112,254,271,030,272,
161,163,282,778,891,658,126,329,301,379,706,695,923,060,030,401,074,422,839,
457,994,103,316,433,008,497,943,463,622,232,300,901,688,886,680,675,137,994,
848,999,458,963,437,835,293,803,272,261,796,701,224,700,800,142,392,590,974,
784,899,712,686,407,534,728,409,883,393,157,248,332,821,131,410,230,875,801,
369,070,378,536,648,922,741,525,494,051,023,262,884,422,383,988,904,332,457,
695,551,035,437,508,175,163,889,836,662,332,620,386,399,403,527,612,461,833,
525,043,137,111,777,195,672,873,349,168,375,655,865,565,765,318,887,747,945,
288,944,876,609,171,007,861,949,325,047,196,369,605,772,082,187,292,362,627,
575,251,272,629,763,461,713,409,881,774,538,065,210,192,077,971,934,002,083,
638,127,083,473,839,707,902,025,078,777,729,761,513,757,698,137,490,167,255,
983,795,676,344,293,317,363,764,706,618,516,674,872,283,965,261,106,183,397,
585,805,776,482,591,796,563,731,843,499,987,093,589,627,464,126,758,199,382,
663,361,296,957,098,773,658,059,973,018,868,738,590,793,464,764,103,253,594,
868,273,338,261,279,069,684,784,455,438,687,014,323,437,184,269,753,807,370,
212,911,078,118,601,247,848,303,999,010,808,855,030,694,901,624,342,706,505,
672,321,060,826,917,484,612,425,067,967,556,352,897,286,769,376,118,279,469,
377,393,949,859,424,022,375,297,167,424,741,555,202,304,091,497,156,310,961,
110,831,075,891,053,910,808,359,383,099,060,914,723,636,151,476,224,881,763,
440,517,024,294,314,187,869,148,607,360,592,006,152,549,513,503,741,030,492,
261,823,944,204,908,422,457,649,508,999,795,694,204,288,897,177,632,868,949,
375,544,877,951,282,238,391,854,625,439,651,920,893,207,087,104,031,087,413,
877,750,557,811,002,169,216,662,424,818,784,967,752,818,145,993,809,495,800,
187,224,822,349,204,109,849,530,862,088,317,041,462,889,057,226,050,251,560,
972,073,586,190,784,619,055,343,157,303,016,402,993,313,007,325,309,629,353,
178,800,557,004,510,888,951,900,981,413,389,409,350,887,451,176,554,955,136,
986,749,067,484,246,216,260,153,454,909,094,093,180,391,440,384,964,185,126,
683,035,370,390,998,272,872,816,876,806,080,765,962,979,367,376,784,773,248,
047,320,592,020,119,582,070,105,203,870,918,731,418,519,257,831,187,507,755,
312,487,457,628,918,493,347,003,598,443,968,909,863,247,329,182,260,826,412,
865,239,079,081,883,432,985,401,158,176,196,110,801,692,973,416,731,614,551,
167,462,236,197,520,724,578,415,847,172,233,788,767,441,989,559,209,348,937,
204,869,764,534,407,185,783,239,504,708,490,429,930,093,853,322,198,269,257,
175,334,327,518,145,866,727,872,165,316,200,136,094,752,524,965,306,804,868,
081,659,633,229,239,833,156,272,429,902,788,996,128,956,415,490,139,594,962,
315,720,950,785,581,862,199,770,023,209,074,518,649,018,443,343,446,585,901,
294,974,961,933,156,211,421,616,910,914,179,047,559,237,759,710,036,923,263,
279,847,992,230,618,320,070,623,428,830,098,688,048,470,472,811,582,920,054,
576,966,444,847,276,737,207,030,781,839,845,413,629,441,855,954,695,256,111,
797,737,283,953,081,870,116,862,247,384,581,449,077,175,219,143,109,208,194,
680,713,449,812,119,076,340,858,139,710,040,508,912,439,451,069,629,304,229,
230,238,329,914,114,287,691,257,691,558,760,391,283,920,667,686,671,470,397,
440,537,017,712,025,620,747,987,484,148,891,706,061,361,295,762,132,841,433,
551,826,169,639,598,281,321,247,981,294,375,997,313,278,409,458,579,830,205,
339,043,637,887,702,147,741,536,687,968,286,497,971,740,930,138,564,471,740,
871,076,117,733,234,497,298,534,319,535,995,172,353,128,702,671,802,669,622,
401,128,608,148,561,495,761,185,213,271,830,784,544,168,230,548,436,304,215,
324,744,646,390,081,700,504,645,389,988,488,499,104,734,190,239,048,045,487,
691,956,047,090,606,728,426,571,943,136,605,521,973,470,487,789,920,014,112,
898,162,987,451,047,613,910,063,861,923,101,695,171,326,022,168,442,663,058,
506,939,249,426,455,074,953,712,705,359,584,517,404,669,918,485,836,093,467,
343,934,824,631,632,244,665,511,976,376,931,673,192,452,142,938,781,217,566,
916,687,084,324,531,370,059,209,770,433,683,577,727,122,140,478,541,974,313,
062,832,466,081,975,694,680,450,984,719,487,478,986,311,091,399,455,506,976,
892,982,002,050,086,227,833,461,349,274,696,370,492,189,338,942,633,087,630,
850,698,410,200,758,669,392,709,003,692,319,014,802,270,791,827,172,207,992,
374,877,125,493,955,288,929,062,575,854,287,457,318,807,500,864,453,859,745,
869,717,945,464,721,188,409,854,664,447,549,686,005,706,205,052,640,124,273,
399,018,175,399,191,987,490,363,651,642,432,639,740,139,152,697,821,616,077,
708,335,920,567,208,555,192,808,543,398,933,097,922,015,392,683,553,021,599,
191,345,765,252,907,492,217,613,792,325,474,881,582,333,520,942,262,587,719,
969,165,439,922,213,532,048,601,023,354,832,268,712,268,376,213,038,565,241,
147,436,911,130,735,622,859,397,547,797,878,813,263,642,461,578,882,884,373,
609,615,539,694,446,256,931,319,016,410,730,339,236,337,409,109,864,671,603,
544,682,900,603,324,684,635,506,029,060,064,373,675,997,773,929,256,223,199,
227,759,859,960,838,722,282,073,295,718,353,310,870,499,393,898,062,025,599,
740,884,508,623,673,646,306,452,777,520,827,633,025,134,216,522,802,907,592,
315,065,038,833,398,479,898,109,308,734,966,001,922,843,431,557,346,261,413,
360,107,301,777,333,897,454,687,725,891,981,901,379,267,919,015,179,126,393,
342,154,997,125,374,812,436,589,632,517,475,179,310,804,293,569,158,351,261,
872,691,465,121,051,026,720,232,079,682,322,803,258,502,812,904,739,736,904,
071,630,306,981,187,304,681,062,364,146,829,461,228,424,701,398,933,804,743,
788,667,699,779,883,106,207,382,130,472,638,882,998,743,006,644,197,125,603,
883,281,625,811,966,424,009,699,016,072,506,117,281,185,337,495,220,979,324,
306,031,599,220,335,212,314,381,446,499,567,137,715,650,563,598,666,858,002,
657,034,055,511,355,678,365,596,867,098,459,793,739,363,394,724,578,355,402,
621,685,586,030,223,962,817,334,283,739,235,607,221,580,584,095,341,469,401,
419,938,886,000,332,033,725,759,085,125,590,902,278,233,951,164,239,083,229,
746,263,345,113,247,439,892,838,398,770,685,056,596,993,716,590,250,557,399,
482,154,321,065,234,250,356,709,569,053,768,111,577,691,847,881,822,005,591,
257,119,073,034,237,170,160,315,995,822,954,183,306,453,434,803,031,293,902,
963,758,375,067,799,715,662,998,462,327,245,098,048,468,848,742,534,981,511,
230,217,225,276,338,169,835,462,137,033,972,014,690,336,319,175,379,021,780,
776,695,195,986,937,350,455,175,770,664,518,719,557,562,653,385,663,103,564,
992,095,590,157,274,819,451,198,385,807,906,474,615,488,559,911,770,262,506,
587,607,297,761,036,828,662,117,415,516,353,970,448,063,833,968,853,880,131,
182,381,179,515,627,728,597,335,783,255,484,185,966,811,237,626,958,925,681,
125,776,362,329,454,962,231,357,354,687,259,742,470,791,609,625,536,556,774,
491,944,419,785,364,309,004,784,295,080,744,594,771,099,385,755,375,380,892,
942,901,629,721,236,381,157,366,945,896,787,817,823,147,923,455,321,060,728,
071,431,681,497,324,282,140,262,606,735,496,956,328,858,051,366,366,565,160,
293,441,973,513,136,543,238,266,893,641,385,747,495,400,474,959,417,902,119,
535,683,964,247,012,449,629,748,934,740,603,405,895,974,032,656,300,812,554,
715,043,162,596,431,306,149,873,044,875,211,161,261,429,527,013,613,486,345,
893,408,199,097,049,882,298,458,065,393,439,379,544,769,060,995,408,182,683,
722,664,939,512,340,269,538,356,732,289,155,999,384,493,613,468,785,904,017,
266,857,858,687,532,121,554,933,068,844,889,537,808,405,243,749,555,366,462,
997,462,062,831,847,076,578,872,347,584,362,566,768,792,271,170,216,286,163,
691,072,754,911,463,775,825,264,782,037,877,209,407,695,971,200,574,553,690,
865,925,872,405,584,340,972,729,249,364,267,799,998,803,499,254,067,142,040,
492,201,105,415,181,671,612,229,617,533,658,151,401,135,256,171,882,176,623,
086,322,666,640,985,462,954,015,569,227,120,434,322,733,667,477,322,335,030,
532,142,273,767,785,760,820,435,568,130,705,708,045,646,391,330,852,013,869,
805,227,168,896,890,591,745,730,140,153,547,574,673,248,108,631,872,011,948,
050,185,734,214,748,994,489,307,212,892,364,792,368,064,536,209,991,786,117,
819,237,652,369,895,956,488,995,191,878,258,642,404,728,526,195,153,865,848,
350,443,254,470,461,082,588,321,227,442,304,347,849,575,459,319,455,591,785,
606,025,099,818,568,865,754,853,385,857,696,558,674,002,304,231,409,624,212,
773,188,314,074,880,020,223,224,533,028,435,237,157,727,092,111,361,201,221,
135,405,461,193,450,949,413,297,586,267,863,791,826,181,182,099,503,414,971,
428,852,763,072,564,022,342,325,234,240,349,365,440,013,189,314,161,689,025,
451,128,265,054,408,756,339,240,382,312,153,348,877,828,241,636,456,845,105,
994,083,562,357,231,463,342,789,386,969,834,181,597,139,505,782,294,078,329,
165,691,288,869,433,297,233,828,042,721,521,115,297,408,675,332,359,642,497,
858,328,081,648,363,807,051,373,386,623,023,398,758,829,392,118,377,763,517,
314,050,209,445,603,190,075,184,491,473,394,851,869,721,078,518,708,541,006,
908,601,467,914,393,558,776,613,236,267,503,988,773,064,820,303,194,080,059,
438,486,911,442,067,066,591,667,682,954,272,586,692,177,201,154,364,928,235,
782,756,182,892,418,497,238,446,933,699,807,415,600,452,852,487,450,281,236,
949,646,808,721,156,139,832,577,161,461,594,310,048,988,422,607,370,899,804,
112,238,149,672,966,344,642,295,275,844,936,102,709,626,391,816,702,406,996,
027,880,305,673,457,148,104,636,616,752,953,561,451,838,817,606,171,400,819,
950,099,670,590,543,341,702,824,983,762,586,610,415,973,140,808,301,698,413,
139,377,581,097,130,569,304,613,407,457,615,011,125,997,428,311,043,483,166,
519,648,815,862,089,507,630,098,406,545,805,876,059,125,314,447,514,967,333,
258,711,830,015,654,520,787,591,188,050,632,554,342,545,787,407,785,634,562,
355,093,751,537,239,134,402,333,554,813,049,498,057,089,685,592,987,814,465,
682,849,803,613,567,589,626,977,543,035,894,091,413,764,126,745,696,915,056,
935,856,638,487,735,651,569,864,925,007,737,132,513,680,919,891,368,306,262,
776,068,942,468,752,120,411,497,479,024,080,373,508,449,549,019,397,016,234,
954,179,345,555,695,309,106,625,523,188,555,258,297,255,513,637,089,016,469,
124,403,221,873,285,486,004,356,725,899,257,144,745,529,138,794,878,061,920,
893,943,014,476,841,305,366,995,847,039,856,931,993,446,705,469,288,036,955,
917,454,310,431,529,965,497,994,696,734,581,555,373,260,544,061,080,120,552,
763,165,474,984,090,280,458,892,818,738,159,839,724,562,829,553,431,861,350,
158,758,361,902,786,217,571,875,569,548,776,210,155,962,340,518,854,448,235,
616,810,778,390,583,248,726,526,750,632,583,949,039,379,037,909,670,405,441,
599,945,596,681,888,487,641,494,876,146,595,479,871,233,089,304,212,598,254,
873,517,936,456,264,801,919,483,205,329,745,890,778,572,506,160,966,854,413,
247,815,733,061,771,212,014,095,039,688,122,520,305,475,726,624,541,151,361,
193,792,506,463,438,737,304,495,325,350,779,853,860,153,687,620,186,557,954,
744,253,945,371,499,186,099,612,095,854,094,705,447,752,872,929,983,395,924,
983,122,140,219,305,183,140,325,864,335,202,536,613,249,471,055,643,429,900,
128,512,391,209,522,872,164,252,036,647,943,087,565,274,773,479,305,636,728,
095,053,102,071,978,706,838,360,883,189,397,933,987,836,975,409,741,531,492,
013,063,765,495,590,942,530,288,353,203,722,969,089,987,708,818,076,244,650,
960,268,750,759,472,894,846,772,191,209,599,980,683,559,430,272,624,236,048,
805,653,660,716,626,112,525,527,874,540,979,694,098,374,139,461,201,613,100,
359,524,815,685,900,261,633,422,715,430,381,937,035,197,043,831,133,333,384,
614,709,395,668,248,368,324,781,994,149,403,949,051,552,651,878,571,624,939,
784,353,286,151,009,091,152,791,812,703,810,978,621,236,350,397,024,563,069,
222,056,998,446,022,907,886,522,330,256,161,155,715,876,254,635,466,819,934,
508,069,224,405,677,276,173,092,749,265,552,541,723,936,449,990,003,927,293,
204,984,241,790,435,458,037,627,449,239,860,330,547,152,874,501,339,310,415,
564,379,119,834,505,180,877,434,012,638,719,054,937,235,672,174,708,681,592,
708,864,500,858,480,989,568,464,871,751,859,705,424,538,010,580,464,501,947,
518,140,378,612,131,373,433,117,716,130,203,528,966,230,160,203,231,126,886,
107,168,760,789,475,241,900,515,817,441,418,840,585,249,232,024,805,439,305,
171,871,942,474,795,042,172,290,090,186,314,242,125,052,103,648,219,760,281,
864,292,385,723,359,232,218,992,610,508,576,250,895,368,890,990,693,681,414,
947,784,285,107,924,182,892,256,014,186,852,810,484,856,582,678,796,908,161,
282,547,006,283,933,659,027,248,858,063,838,464,872,945,691,759,220,029,191,
014,376,162,532,785,506,656,800,929,406,635,177,982,936,348,933,571,354,327,
743,967,993,303,807,357,117,586,130,791,036,536,842,636,273,857,590,237,203,
864,792,960,302,514,689,282,573,192,112,540,297,894,197,527,145,836,820,121,
173,497,261,367,121,011,951,499,309,748,333,229,006,744,460,335,120,683,906,
643,798,849,063,504,728,199,750,243,903,824,324,054,949,622,544,068,753,097,
537,586,957,474,576,204,666,366,952,087,065,126,938,347,644,300,312,639,760,
315,419,965,979,875,616,470,059,834,379,271,958,655,110,769,645,155,972,456,
024,154,072,321,417,716,488,383,328,790,080,105,100,120,499,344,399,233,923,
057,842,426,937,319,342,476,953,413,311,584,265,455,608,001,458,301,182,663,
256,891,911,834,777,905,384,703,390,570,676,732,418,298,878,102,815,513,439,
982,317,299,068,492,498,298,473,976,556,711,454,625,826,145,554,780,092,500,
923,258,914,138,630,688,269,420,889,013,034,476,488,823,833,618,663,186,087,
173,694,560,839,903,038,483,385,904,492,499,395,159,922,747,227,221,075,785,
809,286,715,186,484,234,511,140,937,371,637,765,984,124,467,177,607,804,931,
880,625,983,005,430,221,422,512,203,698,595,318,380,154,112,369,103,676,672,
712,976,826,224,288,713,197,074,824,431,746,717,481,437,014,091,692,454,122,
808,068,292,529,481,333,659,856,393,338,766,090,786,877,670,788,121,513,114,
034,145,357,234,721,736,204,117,568,131,553,166,816,064,725,910,354,303,009,
290,848,397,307,003,693,195,405,461,639,459,692,747,057,492,854,451,234,238,
032,140,722,781,963,809,384,645,874,881,535,881,639,694,768,756,799,392,544,
078,975,658,529,924,717,608,916,249,647,704,580,987,799,262,414,062,187,894,
622,667,068,219,546,402,625,798,145,766,862,849,240,315,046,108,929,414,450,
611,970,365,991,198,937,591,886,019,706,051,039,099,159,707,051,891,640,436,
282,095,675,141,204,777,554,387,595,893,267,201,214,608,940,903,008,779,577,
299,079,192,922,156,672,270,039,460,529,810,633,689,438,659,926,548,464,669,
654,984,757,652,827,859,602,141,121,209,861,306,163,650,969,970,708,868,214,
869,441,362,984,811,166,912,867,130,657,717,034,073,704,546,665,032,304,407,
005,047,974,316,762,295,835,995,625,877,838,241,717,233,107,338,548,355,314,
743,050,274,480,978,251,921,588,483,338,594,344,376,831,839,845,600,634,067,
257,711,005,078,793,556,647,835,296,677,138,093,706,719,987,447,219,638,692,
287,444,807,901,662,300,622,008,844,487,063,749,686,605,493,511,594,831,682,
971,911,441,975,073,618,821,127,745,949,286,980,470,685,518,579,546,309,804,
060,776,264,893,987,508,063,260,672,488,348,678,137,725,858,085,257,586,796,
535,578,272,392,046,145,111,373,133,994,937,479,442,337,471,224,478,939,944,
783,657,271,278,902,465,427,224,427,907,081,818,284,619,395,143,023,193,915,
441,933,521,097,456,244,047,165,126,924,184,369,269,019,094,686,224,032,425,
866,782,852,521,667,920,242,015,535,533,077,855,923,754,566,403,086,231,316,
450,833,771,104,927,209,040,902,587,750,455,954,555,331,030,161,386,618,759,
812,974,697,601,270,012,280,784,214,257,348,303,371,200,294,059,482,563,991,
844,949,258,007,756,184,733,654,817,420,394,598,939,753,859,168,800,840,617,
065,181,987,412,978,770,400,004,072,470,790,776,319,751,301,672,184,521,257,
267,811,682,868,225,341,847,976,477,764,565,643,164,863,828,754,241,729,833,
745,039,318,746,490,475,060,112,270,626,856,330,479,027,802,193,450,934,930,
373,964,208,799,392,631,626,248,024,478,025,091,877,983,397,310,957,554,898,
492,863,956,598,281,648,721,618,230,705,020,322,523,321,458,746,582,791,911,
400,743,863,328,379,642,454,781,772,502,254,561,799,611,394,752,971,682,102,
671,109,567,482,153,141,162,545,596,100,855,021,975,943,481,619,676,220,337,
137,683,933,069,521,270,914,346,974,231,964,260,217,329,572,989,723,795,192,
735,697,414,321,795,293,174,966,248,036,205,074,252,051,338,040,540,920,025,
757,776,278,542,269,541,055,111,569,952,908,543,675,694,542,532,848,385,159,
003,295,342,069,183,711,078,327,780,667,599,379,771,543,824,584,537,625,287,
043,894,955,171,469,551,003,741,616,321,258,731,068,546,870,904,642,870,052,
024,512,724,031,498,964,610,673,507,012,680,769,262,210,186,533,334,037,362,
697,068,926,380,273,183,726,876,558,910,305,982,902,113,025,402,460,369,224,
498,343,595,986,745,471,401,939,139,661,912,609,434,887,443,270,642,849,103,
196,559,603,496,229,943,642,999,000,629,524,416,221,500,032,554,033,831,077,
442,991,153,359,697,780,558,473,184,230,614,216,385,125,480,970,639,444,495,
543,084,492,469,672,327,454,840,919,012,091,518,015,365,193,943,866,591,312,
517,902,495,510,772,866,504,613,349,661,001,077,165,526,531,016,807,171,726,
704,405,597,547,711,462,435,483,937,052,240,649,862,926,982,832,977,764,060,
277,495,912,490,582,114,742,971,161,287,416,917,468,311,347,455,564,204,208,
040,014,546,190,579,443,610,153,343,406,938,853,402,910,647,416,845,573,992,
577,197,375,517,062,234,783,439,783,722,711,743,063,837,018,480,208,808,444,
767,734,656,907,220,094,511,366,339,416,028,626,852,775,823,668,846,635,131,
798,769,728,023,829,026,694,759,429,263,025,634,236,975,742,455,268,631,320,
275,276,252,310,629,283,153,256,378,352,100,346,549,488,818,467,086,696,313,
600,344,292,585,744,779,010,930,297,696,770,722,340,959,367,448,661,003,353,
512,941,666,601,495,495,574,771,071,141,121,671,093,491,984,211,228,489,515,
338,059,686,913,462,181,574,940,126,844,132,976,830,738,303,764,880,489,051,
132,691,133,755,758,856,426,006,692,097,399,440,824,707,425,777,516,329,523,
540,325,483,209,870,317,639,539,849,039,479,761,007,907,788,335,048,734,433,
293,654,469,693,415,524,611,937,147,693,029,165,098,971,509,415,988,033,055,
075,654,330,141,587,267,502,323,328,796,439,957,482,283,595,388,324,179,050,
031,466,738,415,139,282,249,029,378,283,031,353,634,508,252,622,986,246,384,
574,940,810,535,861,350,852,148,790,297,498,586,065,487,123,828,988,771,775,
420,363,708,486,159,012,070,061,597,455,202,912,559,602,962,804,910,486,314,
425,445,117,051,272,429,852,003,083,266,063,393,117,976,022,258,940,965,191,
823,701,716,375,862,785,862,464,165,101,262,603,171,376,406,397,687,202,753,
841,477,092,412,772,502,038,136,059,390,371,468,641,159,180,957,231,268,407,
372,405,820,370,055,357,481,660,113,633,264,800,205,055,767,064,884,146,595,
579,387,078,359,779,451,399,780,652,789,104,568,742,606,518,761,449,165,595,
252,722,052,808,505,440,227,014,581,908,504,863,951,967,383,000,270,197,355,
531,917,431,575,886,996,523,986,036,121,466,122,366,962,674,789,342,457,101,
496,144,575,267,137,497,391,051,807,317,508,439,446,557,278,156,683,538,916,
705,676,824,821,892,344,193,319,057,001,676,560,815,960,989,425,648,259,712,
012,855,930,426,837,328,396,528,397,650,146,316,517,777,348,357,850,293,853,
731,944,022,915,985,864,180,640,107,902,445,043,240,917,574,923,189,313,583,
642,850,925,179,086,031,320,202,265,983,012,371,976,773,785,285,518,315,308,
384,749,520,202,353,701,005,367,442,470,758,850,289,146,721,046,174,094,986,
972,995,372,891,232,711,725,637,519,856,003,609,784,821,542,760,649,763,087,
603,567,319,315,968,553,160,931,358,515,844,945,175,576,818,541,675,262,210,
077,152,211,383,006,632,489,996,126,147,303,220,070,033,517,197,954,991,233,
914,798,697,679,750,765,984,514,063,752,339,777,601,634,177,213,574,606,593,
346,778,040,826,595,680,877,123,324,458,982,392,683,321,994,981,857,226,976,
566,360,263,402,313,417,100,639,744,800,070,891,046,716,397,813,814,593,461,
432,678,217,863,623,613,794,142,269,662,565,887,748,240,578,030,817,133,446,
462,944,652,722,920,975,820,506,917,317,174,864,233,579,060,875,551,478,412,
412,066,951,081,982,893,263,836,460,106,575,884,044,936,489,399,406,217,374,
285,482,780,227,944,583,237,182,605,378,502,577,877,643,655,642,001,609,672,
881,076,415,186,902,467,469,370,454,749,111,354,925,570,388,137,240,552,789,
706,033,274,525,335,542,522,616,599,239,330,097,956,825,657,914,490,126,896,
520,407,748,152,035,208,416,631,312,244,148,072,096,265,045,468,588,831,846,
336,445,785,309,431,611,112,023,447,678,994,180,783,048,391,980,299,676,780,
375,607,365,678,745,048,222,544,028,340,164,683,348,914,677,234,206,701,991,
120,253,023,772,684,036,863,892,387,278,574,476,219,692,382,932,435,751,084,
633,550,159,725,378,497,830,142,187,750,074,751,319,580,484,915,103,375,749,
034,502,151,884,230,600,503,630,816,141,518,569,998,676,554,372,264,786,581,
161,110,968,118,205,793,766,471,155,933,756,195,496,676,559,743,620,007,917,
828,552,888,099,926,986,206,990,330,087,468,297,071,361,151,759,776,741,269,
444,700,726,951,905,303,917,370,958,772,867,511,781,160,507,467,968,287,927,
613,502,178,444,059,069,359,447,819,906,660,543,419,888,811,412,391,971,912,
008,007,917,227,438,765,741,924,505,582,361,149,885,449,699,748,052,995,782,
655,642,314,787,845,007,346,487,455,669,347,535,149,389,208,022,088,646,401,
014,970,531,689,000,913,137,560,550,400,766,608,103,078,362,337,286,179,428,
625,179,662,521,225,011,450,718,395,570,992,956,622,086,790,571,532,017,032,
854,798,347,453,475,783,318,578,917,209,770,612,835,717,666,155,584,763,596,
316,507,219,151,346,220,399,599,719,226,778,939,556,906,289,441,705,225,402,
240,750,463,091,004,745,673,588,037,138,835,722,702,498,282,545,928,544,536,
634,798,800,613,157,395,436,061,985,552,466,145,959,717,861,179,186,323,358,
465,052,159,124,712,209,290,007,986,974,730,283,454,881,292,921,164,367,769,
689,830,837,645,752,619,010,094,927,137,248,991,327,701,540,211,408,033,413,
880,459,334,428,649,681,326,269,256,680,083,386,641,193,358,392,487,870,257,
385,815,539,127,650,430,958,517,906,621,919,772,782,437,236,469,538,649,612,
786,767,740,613,072,532,259,735,346,097,777,467,513,527,036,183,090,194,662,
596,212,858,179,909,932,927,253,169,098,103,490,199,859,190,831,681,835,795,
546,340,947,471,608,545,294,787,489,338,780,373,795,067,328,852,022,061,677,
167,449,472,064,175,285,352,317,095,038,878,090,316,883,445,500,990,727,529,
774,273,859,725,060,859,609,008,159,434,448,323,488,879,445,525,890,658,206,
315,099,123,651,594,899,251,194,369,639,037,166,660,279,697,975,918,819,782,
757,156,444,214,567,443,491,787,500,848,696,011,501,730,299,090,898,401,631,
466,453,029,776,505,584,876,644,273,539,020,950,128,345,704,352,078,058,117,
668,656,903,395,372,061,379,890,306,584,333,603,646,230,229,202,054,536,316,
531,391,150,052,671,678,962,449,895,996,588,110,770,231,192,469,866,831,007,
459,074,858,005,061,713,900,951,115,278,951,498,068,917,311,028,868,016,104,
789,313,697,504,959,886,445,947,917,714,939,340,503,205,269,609,818,035,069,
685,315,346,534,848,079,685,709,932,988,277,391,853,810,483,314,791,620,782,
194,576,038,185,051,139,511,875,783,855,092,370,694,692,316,652,351,225,045,
466,100,127,012,140,953,009,615,108,630,877,914,703,970,100,086,692,153,006,
289,470,162,413,884,254,827,948,272,078,512,150,464,243,007,076,303,830,558,
397,878,943,027,504,107,705,502,119,322,079,224,134,223,338,779,956,918,508,
089,086,485,505,216,961,296,089,005,733,090,568,214,098,581,581,611,094,528,
935,473,551,630,850,827,449,587,864,757,504,584,529,696,694,465,371,197,816,
545,465,089,414,359,590,837,153,108,815,947,973,728,518,430,353,763,664,956,
893,959,696,248,726,898,669,578,984,200,971,745,334,371,697,227,801,733,881,
170,326,599,044,674,377,712,477,757,871,401,880,561,847,654,699,458,097,218,
281,951,366,775,079,552,632,115,197,003,213,650,842,561,312,590,790,637,613,
018,062,653,243,230,288,829,623,037,158,129,548,169,490,655,024,428,665,040,
243,655,675,924,620,547,236,714,964,770,661,640,775,075,330,651,271,467,632,
023,474,800,741,639,755,389,364,613,562,870,861,314,087,685,015,751,569,238,
501,568,112,960,628,269,018,312,648,042,197,092,959,035,408,203,096,901,504,
484,416,702,300,963,108,338,961,141,296,628,366,332,423,536,344,637,776,927,
066,359,068,021,477,449,852,880,215,983,989,805,834,661,279,614,376,350,957,
692,046,501,193,484,717,722,678,999,613,896,355,644,328,964,179,189,948,835,
316,563,669,152,245,870,497,845,746,078,484,598,933,355,787,097,260,659,677,
610,669,136,928,986,055,058,371,857,875,640,571,488,378,175,912,196,631,036,
045,791,408,598,524,900,901,097,502,884,143,852,583,362,543,206,493,904,185,
496,144,129,767,674,480,190,061,880,210,590,593,966,811,609,782,385,963,483,
740,563,995,203,106,550,703,285,957,834,643,691,409,644,398,869,070,281,955,
126,603,280,542,607,214,778,984,630,663,475,001,928,188,208,100,995,394,814,
334,578,132,966,086,063,849,715,883,544,196,684,376,216,618,903,412,363,496,
117,821,631,857,974,046,302,122,102,132,751,136,972,746,978,575,023,611,772,
437,930,233,586,726,064,042,067,665,728,707,799,339,639,133,399,300,021,989,
569,299,484,272,670,306,834,403,139,943,558,154,351,001,316,433,011,553,994,
662,833,269,251,749,633,032,877,377,401,562,224,684,075,807,080,482,768,307,
326,456,146,657,919,949,561,119,686,302,770,984,547,001,930,298,088,602,398,
469,634,878,886,047,602,779,060,549,554,864,559,958,883,686,497,637,536,752,
693,196,242,181,583,594,903,978,238,604,475,382,753,702,876,667,739,844,033,
929,969,366,420,024,051,540,382,839,919,512,662,903,555,498,510,781,677,430,
336,152,390,146,192,082,945,428,291,190,454,019,868,607,475,248,319,742,251,
309,576,606,335,690,050,960,281,607,565,336,883,346,061,785,679,511,463,149,
934,507,263,747,859,764,684,166,192,208,711,113,451,422,789,917,551,937,691,
507,263,870,997,532,961,431,089,043,550,263,245,386,876,595,435,803,505,051,
530,282,675,372,386,704,005,113,900,781,176,063,063,175,151,454,041,375,024,
374,030,380,219,442,092,225,532,139,784,266,048,246,821,948,997,141,750,775,
549,273,076,795,049,262,562,689,960,012,895,912,852,726,687,896,031,925,279,
434,090,963,270,656,715,872,452,097,140,736,550,669,439,928,680,171,641,880,
918,248,002,608,991,325,065,657,149,618,815,585,172,547,848,644,079,421,001,
828,722,743,468,613,554,985,961,713,727,477,778,609,247,730,829,474,595,891,
247,006,557,129,867,292,192,382,317,321,493,028,614,806,900,463,714,692,672,
978,763,652,371,772,021,604,551,755,967,429,578,565,383,296,916,946,410,915,
858,456,699,437,439,382,764,202,828,325,594,003,609,305,022,405,256,490,486,
457,688,231,594,948,540,933,149,175,364,746,506,411,846,451,650,609,217,257,
791,772,082,713,871,945,213,604,237,915,071,991,199,557,932,153,527,191,174,
324,187,992,614,345,417,560,530,638,920,651,085,288,987,944,708,216,488,928,
247,869,792,752,172,844,922,642,680,068,553,343,812,927,328,128,077,070,379,
099,162,387,375,178,337,342,119,507,726,198,994,198,216,895,463,282,677,366,
210,465,477,829,915,668,434,035,151,467,178,904,828,854,770,768,426,541,157,
913,736,904,807,385,992,687,215,691,984,621,987,921,018,870,447,785,752,889,
534,167,384,494,618,264,702,282,624,098,667,793,363,432,112,017,289,936,284,
652,966,856,370,725,286,755,345,178,997,758,428,886,141,845,303,417,671,904,
881,478,307,067,088,922,538,672,389,236,181,886,015,416,032,685,004,952,094,
515,791,472,327,586,188,483,178,215,623,557,320,443,056,622,020,446,316,570,
574,198,673,564,571,682,907,845,450,870,447,168,488,048,865,127,049,676,335,
140,917,347,884,108,475,768,065,346,920,050,351,353,316,563,000,519,114,639,
753,363,392,376,797,759,418,753,542,735,419,803,300,919,156,981,234,728,748,
771,229,570,903,618,412,914,896,836,238,588,893,980,960,667,709,451,251,015,
801,971,249,478,115,781,289,804,311,991,478,420,669,580,156,863,461,355,986,
533,210,684,406,924,247,082,736,207,913,048,641,223,868,823,376,223,342,806,
050,299,430,973,252,569,592,873,562,241,049,128,313,429,784,271,657,770,663,
990,796,572,067,339,018,565,493,405,023,817,188,564,619,126,790,905,461,736,
262,285,257,188,050,381,287,783,168,541,768,450,079,770,988,485,113,819,974,
361,231,398,972,620,066,462,019,268,231,644,974,305,181,365,061,647,156,040,
343,243,648,272,985,875,589,744,056,764,973,179,162,482,424,125,580,941,119,
477,870,812,796,082,364,922,588,649,844,281,255,564,566,323,528,909,813,489,
687,029,045,040,950,439,979,667,177,962,597,465,469,557,892,471,018,244,448,
150,162,377,589,352,666,614,464,767,726,596,892,970,346,698,404,595,837,350,
564,656,402,861,508,574,146,760,040,562,043,286,616,412,815,693,251,390,167,
710,574,449,596,715,288,089,303,514,962,997,134,408,390,136,075,789,774,393,
700,731,300,343,360,675,157,970,007,331,427,501,868,722,911,497,966,590,663,
659,640,561,345,048,034,463,442,846,591,634,956,213,699,285,775,863,186,626,
781,567,178,142,458,924,332,229,463,888,155,919,144,533,188,927,904,491,795,
783,933,459,930,875,450,908,249,864,775,674,696,947,785,016,969,379,044,545,
517,877,105,078,309,355,039,398,794,444,853,703,462,686,523,698,774,404,258,
962,511,767,335,637,425,616,240,528,829,584,913,505,715,083,359,004,567,055,
919,862,455,660,722,029,399,137,605,174,112,925,882,908,712,048,013,322,457,
051,015,811,104,433,509,098,562,905,110,158,250,758,750,224,523,144,471,990,
092,259,113,273,614,642,362,798,038,555,951,297,877,110,756,508,996,743,686,
464,457,272,985,402,122,366,135,178,649,835,519,504,840,209,206,623,048,910,
954,181,396,729,609,728,667,700,004,637,967,653,669,907,442,278,868,329,886,
176,818,393,529,949,416,683,765,357,541,251,196,019,113,163,461,263,814,282,
375,486,942,008,195,189,487,660,954,731,336,861,372,920,824,738,774,274,319,
213,700,158,136,314,900,976,336,571,872,968,542,753,307,378,156,415,557,234,
626,910,638,283,955,076,052,017,902,168,787,886,386,634,946,709,252,943,675,
989,840,210,923,982,792,112,285,180,683,805,659,220,271,535,742,686,968,904,
822,466,999,956,457,419,755,143,479,484,643,213,995,865,725,762,350,266,186,
517,466,148,296,915,009,127,456,992,172,821,026,413,477,188,517,870,048,326,
499,202,991,273,767,460,374,178,677,650,903,149,035,106,556,014,447,028,919,
668,302,794,430,973,306,971,158,457,685,290,694,183,951,334,602,486,186,894,
652,116,064,173,526,972,939,670,798,520,827,324,252,815,846,910,887,625,957,
913,035,616,034,826,729,687,374,193,528,047,418,915,222,086,141,836,779,385,
359,433,906,701,276,708,126,219,529,105,202,710,806,620,059,243,148,056,859,
965,767,225,443,080,286,543,416,873,553,327,733,461,211,345,328,069,372,987,
832,010,531,580,459,137,589,367,441,746,396,611,147,144,629,521,602,689,284,
416,372,839,365,094,144,214,263,889,589,543,621,772,134,438,416,875,652,215,
587,620,009,361,640,388,275,714,151,124,105,235,038,502,130,419,718,782,057,
941,240,820,566,977,780,029,261,353,921,495,518,826,300,019,276,208,013,946,
425,348,515,246,099,526,358,438,930,508,841,456,662,648,798,061,525,152,463,
205,289,970,485,098,148,599,747,357,947,300,842,280,120,810,516,384,772,819,
881,863,525,892,892,364,813,707,498,277,692,740,830,070,193,839,157,374,045,
390,189,774,466,002,260,430,253,718,621,264,947,178,035,728,416,545,058,128,
903,394,201,399,196,308,436,672,781,962,206,062,967,607,063,221,679,425,403,
824,767,168,848,957,561,124,974,757,820,898,499,885,384,990,905,694,293,450,
335,116,422,899,357,885,734,085,851,764,115,844,728,766,721,868,969,673,256,
914,582,789,437,646,522,127,806,490,716,681,075,846,236,278,724,369,038,495,
442,782,652,189,791,412,693,342,293,234,524,600,352,034,219,175,570,025,878,
691,217,938,807,987,116,426,812,948,407,763,273,514,844,509,992,123,701,217,
740,444,505,758,606,422,686,342,908,412,039,546,762,987,458,788,118,448,291,
993,841,837,857,736,390,138,290,467,743,579,006,503,862,720,570,432,276,766,
699,118,634,171,322,846,554,499,709,251,654,566,040,503,694,004,441,426,023,
065,313,652,030,807,790,019,976,189,652,121,359,113,352,517,256,459,304,931,
286,730,853,727,900,691,786,663,775,232,023,082,384,835,802,468,471,204,068,
538,536,693,745,640,196,788,971,632,144,318,306,259,969,317,233,089,461,962,
626,910,325,850,547,657,150,936,436,880,501,084,322,136,128,792,978,941,224,
455,003,153,489,396,899,444,749,841,485,696,614,373,069,499,953,440,878,462,
514,424,940,226,846,564,503,039,749,957,879,969,073,095,383,379,972,893,286,
727,501,504,431,173,062,474,486,102,080,204,514,622,797,178,158,103,885,864,
734,226,983,625,385,006,447,928,592,571,382,054,640,624,900,665,313,998,124,
039,235,661,458,422,319,755,539,026,200,080,286,936,036,118,759,113,077,014,
443,525,929,585,569,615,210,909,037,728,842,334,209,528,702,173,056,930,146,
421,003,912,749,943,293,716,411,340,108,302,666,459,198,280,256,795,431,701,
654,758,125,371,724,716,866,474,661,183,483,665,865,620,904,492,307,339,010,
666,819,312,165,228,491,612,675,664,349,139,289,121,436,835,285,704,816,050,
569,600,985,769,172,148,412,231,789,313,146,707,462,419,047,610,179,936,535,
259,296,511,877,152,780,598,519,311,137,938,532,574,878,976,417,211,738,214,
406,916,204,860,858,890,603,397,167,535,075,599,127,032,146,649,296,320,655,
230,519,614,624,780,817,334,609,114,512,556,098,161,785,703,914,908,514,759,
491,175,343,175,661,449,627,668,781,857,100,200,151,085,965,557,133,496,525,
089,874,821,283,130,384,689,782,686,263,691,737,687,843,270,816,120,947,043,
136,493,896,134,922,442,007,997,009,639,513,675,569,194,486,971,602,850,118,
379,819,845,036,737,034,691,721,783,120,164,369,348,329,301,324,170,155,838,
814,705,618,212,324,363,467,365,573,301,452,918,830,441,672,817,570,891,859,
819,493,887,362,476,629,594,723,337,151,376,890,576,808,121,124,724,414,526,
862,339,759,996,165,494,126,549,583,898,005,167,456,922,982,726,944,966,365,
610,250,974,329,315,579,679,542,649,489,507,608,361,979,066,182,549,077,672,
935,661,054,127,184,521,141,195,962,522,989,394,642,998,418,637,712,284,002,
114,558,681,035,269,680,819,300,034,491,655,817,449,330,994,059,714,271,088,
803,450,698,047,448,312,473,110,975,426,096,168,740,855,303,189,597,983,579,
354,240,586,806,756,270,431,255,900,269,449,514,451,870,015,584,039,361,409,
434,299,484,339,336,704,569,344,691,963,121,148,713,275,027,657,534,563,930,
316,630,531,103,543,051,613,641,308,214,607,975,174,785,428,720,251,231,143,
957,695,134,396,520,818,823,602,022,892,137,085,779,008,912,107,452,175,339,
820,912,666,289,276,488,648,030,451,485,484,016,770,449,739,516,285,958,729,
840,736,632,058,666,870,932,349,761,091,373,911,564,979,735,567,234,603,664,
194,516,012,907,544,457,657,057,270,132,337,347,486,469,491,216,491,129,987,
448,551,300,611,084,886,735,852,339,701,006,913,730,473,415,840,380,200,648,
307,899,624,954,540,938,103,410,401,484,133,618,197,747,835,923,010,974,578,
304,251,733,715,747,575,122,742,975,495,549,019,761,532,816,123,248,266,501,
774,711,672,493,245,834,935,713,704,562,339,800,592,627,943,261,046,114,541,
821,345,647,054,000,160,172,742,174,315,963,221,563,729,178,136,327,999,368,
703,247,843,243,201,548,306,743,751,207,412,589,098,851,733,902,001,964,097,
877,109,016,609,405,235,928,641,218,744,265,796,577,394,213,038,466,929,900,
434,867,882,946,975,486,062,431,496,145,665,127,039,997,535,218,445,540,538,
123,034,155,242,521,945,924,353,659,168,861,714,872,386,956,895,568,456,996,
908,099,884,420,385,141,315,166,490,789,750,628,963,996,392,329,803,686,865,
750,101,414,210,001,563,340,338,547,266,190,082,223,583,454,232,476,932,537,
601,822,217,981,945,401,520,444,878,926,336,733,325,560,919,020,152,384,639,
323,351,622,547,616,296,859,436,850,127,090,297,831,574,366,363,184,178,767,
271,238,474,594,639,849,576,183,272,428,203,015,080,853,714,973,450,183,381,
281,179,616,698,954,211,464,717,388,551,841,363,127,861,179,726,792,030,700,
855,130,849,284,986,556,545,147,922,745,018,628,972,099,683,335,786,126,547,
229,143,857,479,765,988,324,383,777,475,539,751,324,583,597,012,284,184,580,
731,314,886,591,918,218,670,119,483,445,023,625,092,479,560,995,413,580,025,
393,662,818,092,026,604,962,202,181,944,718,215,462,245,164,758,270,685,752,
725,310,043,828,285,605,905,082,718,937,859,652,558,866,088,932,117,562,550,
463,207,305,749,723,660,824,430,716,148,661,126,300,159,039,431,445,816,109,
729,795,751,808,180,430,019,380,226,192,648,194,993,729,767,634,606,448,512,
195,162,788,145,660,688,067,916,751,539,287,069,274,311,470,029,853,402,464,
703,390,253,624,162,913,384,321,472,301,912,930,102,469,635,030,179,316,851,
915,441,949,167,164,400,216,025,681,447,239,270,121,165,306,448,076,788,674,
372,313,617,602,191,578,919,987,064,130,401,553,802,466,081,700,944,385,268,
816,187,317,664,708,660,418,818,377,177,053,260,193,031,463,709,831,202,104,
595,598,744,792,838,202,885,322,860,958,081,334,730,862,507,181,437,323,922,
433,499,030,184,890,612,565,767,987,576,476,206,421,534,985,836,569,759,929,
252,678,380,296,442,781,645,894,584,281,079,408,030,157,578,226,179,659,588,
998,245,582,706,412,837,833,855,975,180,414,855,352,408,212,733,635,617,510,
943,047,764,618,273,528,791,818,192,638,223,081,550,461,805,881,580,288,150,
127,057,238,826,169,732,953,480,090,658,038,821,058,428,727,812,221,350,725,
641,273,972,622,269,972,992,377,381,849,228,779,330,624,313,524,487,335,169,
454,228,544,194,284,812,140,474,816,546,302,014,965,889,937,960,843,351,528,
295,763,365,682,674,288,474,565,907,285,841,761,662,751,955,158,012,367,091,
838,373,031,148,760,445,657,501,486,940,647,066,776,119,693,045,373,085,108,
604,186,734,330,435,617,964,328,104,875,274,382,184,310,450,968,116,990,007,
703,868,031,115,907,900,739,461,246,680,777,498,554,292,415,900,400,782,171,
416,862,149,493,848,885,509,192,187,300,701,872,381,130,968,670,534,438,337,
615,108,774,329,193,099,573,516,151,797,764,176,670,977,417,616,543,069,732,
657,577,940,519,756,086,088,326,501,881,363,969,304,808,570,333,339,505,613,
822,769,710,138,762,195,487,214,203,872,050,764,021,415,009,817,639,802,506,
197,000,913,932,083,595,030,242,995,992,920,676,667,024,907,969,273,285,376,
899,511,155,851,361,125,958,865,841,047,141,503,977,889,172,685,956,237,937,
890,135,577,173,788,574,193,056,512,568,693,168,519,398,154,298,559,814,870,
279,760,082,970,452,324,517,842,557,636,618,559,198,361,320,049,494,842,395,
454,268,256,912,600,447,978,191,995,710,102,867,735,058,546,850,962,585,986,
705,651,424,495,884,567,540,771,288,754,856,399,408,490,079,315,987,858,315,
815,620,983,111,160,142,078,872,625,983,042,058,880,491,607,641,134,198,225,
661,473,046,177,164,493,544,901,870,516,582,844,609,085,755,471,179,128,450,
860,503,125,887,106,272,256,362,856,754,299,230,230,064,272,164,666,476,557,
344,739,054,325,027,622,843,742,673,066,490,332,707,511,688,718,333,626,031,
862,079,541,039,346,639,427,783,059,380,004,436,132,279,219,760,346,136,533,
138,642,531,204,289,443,878,321,014,062,918,045,557,324,679,690,781,665,575,
285,627,594,010,499,497,522,991,125,537,358,499,309,472,480,974,143,259,895,
844,115,815,921,719,015,356,940,674,204,678,682,853,979,031,314,172,455,386,
134,087,222,658,275,345,460,798,951,188,943,039,391,745,497,793,120,495,890,
097,539,042,794,264,862,919,861,190,784,553,851,552,028,833,064,780,373,594,
650,908,379,324,955,050,854,117,802,803,052,626,826,404,783,671,424,672,562,
975,800,667,946,079,386,357,178,351,028,307,186,072,573,044,675,226,601,892,
726,077,056,586,724,240,123,351,874,634,416,300,159,236,648,622,939,026,639,
852,930,710,401,248,392,493,730,446,353,838,958,068,301,392,224,230,669,713,
759,310,878,640,201,586,897,658,432,053,508,295,529,931,365,130,034,162,483,
692,164,834,168,813,088,252,966,397,934,288,200,103,512,569,203,070,793,880,
838,101,041,509,803,691,250,765,825,263,673,983,034,959,131,297,944,295,217,
979,662,614,558,993,245,213,322,843,625,908,784,091,444,143,641,526,520,897,
044,605,518,357,381,297,950,062,479,895,580,128,182,672,964,058,094,844,750,
521,215,258,396,623,293,334,957,213,681,921,107,835,553,908,528,490,445,993,
615,204,251,270,488,274,448,311,937,512,302,091,613,835,949,723,819,087,345,
117,781,300,621,319,755,533,254,412,209,493,432,912,381,013,010,925,594,103,
135,996,536,153,812,306,479,160,095,781,143,154,928,692,067,220,793,358,143,
367,109,020,667,570,495,174,899,702,121,480,608,342,728,164,037,850,201,375,
461,745,759,892,180,553,261,942,045,675,270,549,343,380,048,491,191,187,512,
797,670,688,445,917,277,164,690,433,583,782,540,162,806,992,138,274,803,010,
747,246,164,638,494,746,286,045,407,452,077,299,881,378,788,148,750,082,905,
859,049,147,425,539,913,256,909,503,212,260,651,669,467,391,310,379,687,958,
278,159,112,976,821,417,396,933,650,416,722,722,405,638,445,648,472,914,116,
233,053,045,731,128,955,333,345,049,624,826,294,011,200,421,369,833,384,904,
693,297,433,082,451,224,296,955,378,008,566,108,287,569,424,703,166,364,641,
118,552,199,238,054,881,473,682,797,364,651,476,466,500,003,318,918,830,732,
228,793,788,271,223,507,483,983,114,809,726,572,570,778,041,278,574,559,503,
083,456,528,161,911,805,776,295,017,996,828,615,970,812,832,538,640,730,596,
562,058,814,021,676,129,227,048,029,147,519,528,567,373,361,462,513,896,209,
256,421,414,988,946,631,821,769,693,131,075,256,418,431,587,499,963,302,077,
620,781,368,670,340,933,355,498,287,223,847,645,894,005,091,076,233,347,548,
889,513,654,853,280,812,985,255,000,045,975,038,501,865,402,455,505,591,857,
568,677,656,897,599,934,144,599,170,800,846,148,149,144,465,414,536,502,286,
326,992,128,093,671,906,548,522,691,053,125,120,187,741,255,254,158,901,426,
642,097,683,830,487,750,071,489,219,321,853,810,273,785,769,006,370,343,012,
083,246,002,156,512,490,583,895,540,131,066,047,212,683,831,345,978,915,629,
903,505,574,694,760,505,621,314,860,769,301,236,987,837,158,375,093,976,496,
953,085,714,569,695,557,575,738,263,303,933,929,138,983,898,281,532,184,690,
092,437,594,330,602,911,888,218,431,271,332,174,399,467,040,265,986,852,999,
001,963,172,443,544,181,469,330,813,395,918,726,207,197,041,871,182,835,692,
700,615,720,152,599,943,764,631,625,487,881,701,094,921,165,231,728,866,663,
386,169,453,451,717,499,891,070,211,040,223,712,302,755,819,011,499,042,577,
616,082,745,260,074,494,664,786,699,243,937,377,022,089,224,305,269,530,590,
464,847,923,495,856,000,444,756,034,857,426,587,151,095,337,992,871,483,654,
560,174,999,558,279,683,677,467,581,066,363,149,650,570,258,120,105,819,006,
142,951,477,355,567,039,687,960,022,021,538,847,338,158,543,574,960,758,477,
187,040,545,538,505,321,787,207,625,466,470,484,705,408,632,382,516,291,308,
642,913,954,800,859,989,001,502,545,058,699,769,806,529,171,458,847,315,701,
349,044,246,144,891,140,700,428,351,135,823,458,155,207,185,791,424,445,279,
029,700,474,488,791,011,367,566,902,794,939,811,988,345,248,014,457,438,943,
391,227,957,167,931,201,811,186,833,742,344,732,728,890,019,146,863,208,417,
031,353,613,543,914,334,887,222,136,638,700,775,860,730,621,224,966,677,604,
588,851,243,511,193,149,912,915,823,475,904,961,773,329,123,425,706,024,464,
331,117,123,096,933,921,154,760,365,441,236,312,224,771,291,918,912,807,340,
569,092,529,508,949,771,656,810,564,191,554,412,347,701,070,407,015,627,665,
387,852,365,512,435,538,874,313,698,082,347,433,965,484,825,266,912,914,803,
178,229,220,942,139,423,370,194,884,991,976,391,268,978,777,266,434,967,027,
278,975,701,746,983,989,781,339,545,938,315,808,245,402,422,709,690,539,105,
633,685,733,623,735,390,099,325,360,303,071,018,815,599,624,362,617,319,157,
034,174,521,544,906,803,771,933,272,740,425,618,290,099,020,363,580,860,513,
208,210,064,864,734,517,322,769,723,945,813,751,828,007,397,588,888,800,018,
979,534,282,323,607,703,247,863,784,147,287,635,186,024,870,808,571,480,366,
984,539,464,569,704,074,804,898,899,569,855,563,838,988,176,124,487,715,674,
749,158,098,475,022,758,721,187,709,064,716,001,865,773,983,035,742,723,575,
868,631,184,601,864,245,184,395,103,685,250,627,300,958,928,661,949,172,934,
201,645,234,553,890,840,101,777,112,142,224,179,031,769,561,251,234,030,190,
973,137,416,366,895,657,356,828,563,258,345,532,084,209,818,871,357,764,996,
979,494,777,361,596,712,470,912,254,309,331,291,339,026,596,617,347,387,278,
877,046,744,836,670,964,474,011,295,715,825,896,380,679,004,344,999,886,303,
642,017,603,533,860,686,115,330,332,600,956,473,630,458,185,131,544,792,339,
209,870,835,414,999,504,634,289,996,097,629,820,851,731,828,136,030,101,189,
822,186,159,911,010,794,139,176,006,696,691,832,768,361,199,029,934,709,314,
950,942,532,313,604,373,849,937,303,213,428,942,951,362,119,798,909,238,928,
452,446,661,487,351,456,099,963,386,265,883,858,891,044,212,384,831,003,542,
603,137,808,279,762,798,144,777,649,756,557,373,234,318,715,597,948,597,875,
617,689,131,842,421,813,003,885,028,265,771,586,610,983,126,248,174,652,271,
793,117,958,328,170,320,688,790,644,705,874,274,936,915,646,442,396,447,439,
200,991,483,600,760,335,340,763,540,247,383,004,447,566,493,019,597,293,707,
090,401,518,329,751,518,296,581,643,692,577,485,745,571,575,743,291,083,096,
165,911,876,244,215,686,084,608,975,450,402,478,562,941,632,752,911,599,288,
844,074,283,758,017,050,052,687,079,180,399,991,308,316,036,200,238,301,936,
829,739,957,410,230,713,580,026,095,361,765,208,672,842,363,847,254,495,430,
335,827,648,364,858,721,002,098,862,612,022,029,149,809,456,392,704,558,403,
832,328,297,817,129,336,407,593,005,068,846,264,541,556,947,093,048,941,602,
974,487,226,625,213,262,205,713,249,115,869,165,669,962,807,937,766,293,411,
553,292,741,507,252,116,495,762,443,182,782,232,634,352,270,854,333,568,209,
068,232,344,862,488,028,371,284,722,552,036,887,189,956,250,714,188,937,167,
414,904,513,463,321,796,243,303,196,641,092,814,424,120,001,999,478,630,567,
187,084,761,244,652,098,345,876,773,485,162,221,946,375,778,222,117,912,142,
016,837,635,474,420,267,859,044,573,751,409,313,871,642,797,755,337,197,462,
943,147,775,248,460,610,314,602,072,259,928,041,021,023,847,665,179,980,381,
509,222,499,592,495,809,218,552,730,607,563,682,573,830,767,334,137,584,923,
902,526,726,911,261,212,855,578,476,052,056,265,130,838,719,467,160,419,503,
418,186,106,708,015,109,391,007,193,204,000,616,077,169,736,616,393,969,437,
253,125,218,151,105,221,988,387,569,105,862,982,482,990,835,054,024,489,906,
044,284,024,673,305,965,723,781,355,460,119,843,506,956,844,176,263,422,939,
981,219,546,809,721,327,950,802,620,731,691,411,914,512,619,249,673,904,291,
914,295,441,020,461,356,259,700,751,740,853,503,345,704,938,541,626,511,297,
010,126,834,416,657,725,955,410,155,180,130,720,693,314,476,833,840,125,513,
167,709,732,430,730,219,194,623,670,168,273,014,619,835,314,197,864,483,372,
602,614,905,723,421,163,794,058,323,897,303,290,685,647,153,729,162,375,828,
092,205,713,405,920,688,340,951,967,722,184,268,516,910,302,477,818,113,314,
893,619,525,083,498,559,830,069,270,413,564,869,554,933,873,151,662,502,801,
424,268,298,571,649,831,585,907,280,757,806,165,428,952,668,600,062,064,035,
373,913,218,257,737,808,978,765,770,235,736,400,189,768,415,948,056,427,743,
712,926,880,162,492,835,307,088,956,591,384,191,946,266,685,967,372,129,605,
610,964,985,037,461,082,445,284,109,251,663,387,864,058,033,672,582,569,676,
454,485,352,225,127,632,269,131,092,326,067,460,793,514,526,050,815,576,241,
655,294,571,908,960,969,046,471,793,546,460,407,056,769,131,608,857,159,903,
005,208,784,188,453,695,073,802,532,972,773,917,359,494,539,621,096,713,761,
443,037,379,983,917,245,392,559,152,804,565,924,466,593,188,902,730,791,801,
828,566,430,592,083,974,923,491,015,511,528,649,552,175,415,732,881,725,374,
901,756,148,019,475,372,786,185,540,904,604,023,998,967,710,302,590,310,889,
067,603,633,417,746,190,502,380,458,216,226,079,536,244,466,539,849,372,969,
399,980,230,587,435,312,122,938,467,862,526,659,410,124,975,812,356,742,026,
040,257,364,333,360,988,195,838,161,884,549,683,463,937,788,226,998,980,615,
007,917,861,280,382,529,831,852,355,231,814,446,765,547,123,630,728,118,008,
228,080,598,121,287,762,921,571,562,903,208,525,286,561,786,121,386,857,540,
599,020,685,551,159,335,999,708,484,494,509,256,050,933,955,517,953,046,532,
760,106,202,902,461,318,548,274,164,953,975,391,378,418,722,565,347,614,026,
613,870,993,270,301,892,861,177,002,273,927,544,684,448,738,468,745,930,966,
827,749,355,013,939,212,348,155,245,970,521,952,359,134,095,091,392,915,382,
225,157,079,767,610,124,611,925,514,597,659,735,231,761,328,297,357,502,252,
771,188,965,302,600,028,980,207,284,431,317,263,547,004,981,236,528,291,001,
503,397,905,591,448,754,609,627,618,239,252,545,355,131,325,608,357,247,106,
912,022,034,037,318,784,163,993,492,966,531,029,307,493,926,066,979,483,713,
173,909,375,485,948,179,906,934,502,345,852,065,644,640,939,468,242,990,693,
233,172,778,498,082,724,012,706,773,630,817,560,561,970,330,846,130,776,616,
304,476,254,147,253,811,116,250,294,183,116,655,248,067,365,483,641,034,399,
191,698,923,812,499,501,471,209,046,932,936,023,356,723,434,363,269,907,816,
611,308,123,007,430,382,102,824,619,513,225,592,753,679,014,095,780,059,279,
902,549,284,305,221,497,131,766,427,943,476,607,173,256,089,213,354,603,419,
025,858,274,809,134,851,592,574,234,562,916,743,549,145,275,230,040,285,561,
164,947,538,791,737,080,167,223,700,200,279,051,829,310,930,644,360,674,248,
746,411,992,956,837,249,761,007,574,009,969,705,955,978,902,592,298,975,311,
675,167,364,416,709,015,452,359,839,148,617,396,169,443,865,144,662,803,526,
485,758,966,756,434,863,426,107,302,673,986,362,862,717,889,867,198,528,501,
937,417,716,724,006,367,899,032,738,010,462,439,535,863,943,924,050,094,834,
906,384,109,311,941,794,147,124,500,007,851,489,774,654,169,753,108,524,832,
426,437,291,689,544,984,991,829,707,084,789,420,082,295,786,707,009,956,359,
638,436,877,621,916,373,805,350,052,428,418,123,846,869,257,080,600,048,430,
391,552,587,121,646,470,626,913,457,280,746,044,722,811,194,196,729,797,921,
784,274,172,463,179,546,118,296,649,168,005,373,188,426,694,685,475,240,377,
041,771,987,287,206,195,899,230,077,675,450,425,828,774,027,039,319,768,811,
018,535,617,800,879,960,916,076,748,859,996,913,857,866,989,379,812,865,668,
795,993,781,695,169,618,879,989,059,312,031,414,223,485,091,034,532,453,411,
250,382,361,140,281,448,481,723,220,213,452,716,472,693,657,238,461,739,581,
640,349,628,855,007,660,087,164,224,052,494,974,563,837,178,372,663,652,080,
628,753,390,005,907,239,340,049,815,191,021,337,841,114,539,086,535,328,537,
362,487,575,442,705,643,941,813,982,645,471,089,078,802,430,813,834,847,187,
195,344,341,590,259,583,904,426,849,944,437,592,239,510,411,881,414,542,440,
770,614,625,721,425,606,307,172,577,350,229,550,651,650,582,019,051,260,469,
094,729,118,302,414,864,194,512,169,679,052,742,978,410,721,607,151,314,497,
468,198,380,078,922,740,525,959,786,836,787,358,836,572,500,363,072,057,811,
950,508,500,601,141,069,773,969,911,699,727,836,192,452,669,643,430,835,248,
127,443,566,989,476,343,032,155,493,321,548,190,256,316,414,426,415,690,444,
894,702,504,884,145,691,623,425,160,427,399,986,638,596,981,493,838,913,964,
356,639,474,544,542,794,804,459,797,665,492,488,867,656,567,846,551,457,409,
362,793,941,548,882,251,048,331,987,291,179,919,842,220,303,619,995,721,662,
069,520,443,159,267,074,486,642,095,669,369,002,781,375,683,999,130,112,401,
778,709,712,641,838,631,392,181,936,766,749,888,901,111,544,639,867,408,382,
588,282,002,957,619,453,591,773,067,471,144,081,281,147,162,928,019,835,547,
532,354,920,621,483,081,581,285,963,645,533,507,136,990,455,952,473,417,855,
774,550,769,920,500,556,506,368,277,948,814,741,317,632,607,326,494,569,435,
004,107,963,107,490,824,227,392,230,298,600,947,128,064,803,361,969,989,782,
332,089,340,639,007,022,134,100,645,721,575,449,531,682,071,802,558,487,405,
662,668,129,913,641,936,297,051,331,351,535,507,481,805,104,137,644,307,638,
726,657,771,377,892,668,551,148,562,327,424,540,847,589,543,608,139,483,882,
554,373,216,783,334,232,798,108,609,823,346,223,987,955,422,750,786,768,810,
324,624,700,282,449,910,880,121,571,172,159,651,435,294,336,696,471,449,464,
765,741,088,407,313,016,100,090,033,214,096,717,774,745,486,417,814,715,207,
625,608,521,610,809,408,752,557,619,375,470,037,128,045,479,360,293,308,832,
118,170,306,214,770,870,635,593,937,590,648,414,218,644,395,544,675,876,043,
804,475,371,669,053,766,174,030,228,084,063,009,760,807,476,524,285,625,201,
578,660,746,832,473,162,537,648,961,293,763,665,805,979,412,348,155,868,217,
561,473,134,050,954,976,653,723,435,837,182,946,132,391,308,901,085,550,612,
351,876,581,256,274,250,471,304,716,180,464,745,711,840,534,015,451,314,173,
759,621,277,950,958,288,994,355,103,776,854,202,446,128,127,743,177,525,488,
339,862,650,695,880,857,100,382,178,234,946,258,351,556,556,672,724,874,254,
622,778,949,839,485,072,785,167,350,856,627,457,372,925,940,354,481,789,580,
737,936,746,984,402,824,166,390,158,030,805,366,322,156,343,626,721,122,495,
071,557,850,637,376,191,953,758,244,506,011,519,796,623,698,351,712,418,355,
447,268,793,707,166,656,961,181,591,554,545,051,892,200,726,229,229,327,886,
419,028,098,531,257,927,819,219,652,888,458,410,595,602,508,819,270,308,135,
028,019,504,856,898,942,927,315,769,449,787,739,883,670,294,777,152,860,093,
319,697,404,016,297,143,043,312,582,613,359,587,058,627,224,868,910,373,745,
450,673,842,607,847,715,166,940,522,224,405,143,714,097,757,147,349,442,739,
746,768,152,449,940,463,015,701,770,462,475,778,147,218,218,847,519,847,253,
943,805,908,534,556,965,413,541,878,385,646,541,275,266,455,676,934,096,166,
966,171,551,454,728,963,615,237,745,457,828,464,660,705,016,432,694,615,927,
119,849,823,893,975,822,171,191,895,088,005,565,255,954,898,379,426,203,404,
962,688,139,146,820,065,737,327,939,556,091,342,381,069,671,492,089,938,976,
634,909,269,697,463,060,742,898,093,690,694,839,006,851,065,536,298,005,912,
274,174,479,199,392,539,156,608,891,075,301,737,202,313,856,624,133,684,331,
901,411,637,301,105,310,695,929,486,660,257,147,079,333,081,669,719,781,764,
425,966,498,422,768,597,176,027,501,786,397,478,880,738,039,300,773,318,364,
488,794,320,702,682,386,614,364,494,771,691,589,886,698,050,509,974,609,362,
024,104,925,519,488,367,771,797,232,671,170,595,937,542,841,255,249,354,612,
510,380,157,908,774,634,277,782,077,525,143,944,359,318,028,130,428,822,335,
319,568,293,300,765,537,590,386,406,957,965,330,225,346,976,870,633,364,207,
337,595,035,479,151,640,384,338,364,847,893,504,203,141,134,555,955,489,490,
974,090,354,766,471,374,993,693,054,536,844,327,891,822,101,366,197,827,940,
151,435,256,245,635,188,471,964,814,289,308,292,066,032,239,695,708,465,922,
495,356,022,300,478,638,527,907,893,756,625,895,187,026,414,777,497,905,897,
504,857,783,452,453,775,096,218,694,137,213,565,998,455,611,827,445,506,142,
087,250,320,919,852,729,219,218,604,113,247,070,349,942,509,812,960,652,193,
993,829,954,498,009,309,123,164,277,052,526,725,926,178,703,068,905,265,986,
645,297,830,706,834,600,846,196,942,204,857,402,941,993,684,846,778,994,590,
026,860,529,259,119,391,824,462,476,777,003,113,833,621,298,975,597,989,433,
636,813,471,530,135,801,244,554,101,138,047,508,311,452,581,603,117,086,759,
134,396,000,185,404,836,244,431,209,902,717,165,457,674,437,900,941,561,006,
732,545,579,363,252,353,208,803,550,844,721,728,240,569,932,581,432,093,907,
492,967,924,837,749,055,066,832,265,538,240,013,636,540,641,780,254,740,885,
410,066,069,779,946,263,658,073,939,444,637,727,466,145,814,275,296,900,289,
533,208,832,821,797,395,134,809,672,080,593,244,656,144,077,479,586,939,984,
244,573,649,220,295,487,319,840,754,157,862,225,967,522,792,717,107,671,502,
740,413,154,976,435,007,908,006,990,828,704,668,427,989,373,269,375,433,102,
522,254,578,482,177,649,664,873,238,278,346,888,354,286,836,337,349,548,475,
126,417,715,276,320,072,181,578,029,402,312,165,230,327,556,179,132,911,659,
104,149,367,742,384,908,351,234,866,565,353,405,835,446,288,745,391,943,290,
895,928,696,061,450,048,103,013,796,421,956,477,250,610,931,599,588,387,090,
716,252,061,536,027,090,016,298,919,121,762,596,028,928,422,936,338,805,765,
440,751,131,093,124,621,691,352,450,431,908,641,667,929,266,723,219,524,303,
243,080,227,543,600,657,329,533,734,549,439,962,770,166,065,191,090,082,397,
551,666,226,936,701,803,501,654,552,789,289,928,619,227,536,063,264,779,858,
811,407,423,140,503,178,537,408,645,357,085,798,349,135,245,727,653,904,163,
884,621,825,372,873,066,231,611,705,796,521,078,753,571,440,683,570,719,983,
288,745,856,622,711,396,275,599,324,555,352,764,323,751,148,037,809,201,209,
961,133,869,098,867,505,908,620,034,103,209,535,598,916,533,331,852,003,996,
196,046,843,307,453,057,093,579,460,202,888,890,033,112,944,453,898,648,476,
737,181,847,781,340,253,539,767,060,928,136,959,210,083,481,301,794,174,687,
302,194,099,993,921,910,729,795,340,067,172,734,034,806,310,114,353,677,258,
894,584,811,480,145,034,893,985,534,435,161,020,516,206,414,140,345,556,967,
067,660,657,604,004,253,998,520,105,684,809,980,456,196,417,843,385,934,442,
946,429,986,358,469,908,854,945,815,617,537,746,589,099,008,270,994,190,675,
828,984,989,481,810,144,688,814,700,602,963,892,110,612,414,517,219,665,431,
608,552,344,022,325,001,517,900,714,651,607,565,939,929,077,553,490,333,696,
573,545,872,457,484,614,156,664,867,427,397,233,900,672,522,468,214,498,859,
263,317,293,340,754,778,240,329,734,936,468,081,627,810,278,267,845,031,689,
842,712,629,653,551,697,769,647,666,490,401,118,045,123,900,076,743,253,531,
344,705,964,139,671,750,673,615,316,915,792,989,348,435,286,725,227,937,463,
850,319,910,448,258,906,360,148,868,320,376,722,595,454,034,487,051,521,611,
056,384,159,003,441,984,517,123,567,489,114,969,558,767,037,291,225,058,042,
107,005,110,544,111,985,171,006,925,398,668,666,689,665,448,058,953,884,821,
900,319,224,311,586,628,126,738,972,969,364,024,296,865,181,534,940,642,718,
214,629,782,234,467,032,557,740,276,099,390,280,793,648,503,648,935,344,089,
524,252,563,692,951,527,664,603,703,326,436,732,626,968,238,828,766,894,632,
355,561,530,765,090,005,484,408,640,426,628,129,241,261,305,044,920,035,623,
301,349,596,204,052,277,567,775,280,529,738,420,365,026,367,009,543,506,144,
981,656,339,427,133,524,400,076,499,493,559,697,948,567,179,372,498,770,578,
463,586,853,426,546,352,149,884,305,407,133,921,752,805,215,014,364,561,308,
312,374,338,815,725,488,316,645,747,807,484,707,930,479,953,222,246,754,923,
366,264,701,774,444,987,350,551,137,979,078,007,039,228,720,859,802,247,417,
148,712,109,414,479,188,504,579,970,972,906,894,783,944,130,652,268,660,785,
007,010,650,215,031,173,111,071,580,057,569,795,306,164,587,839,087,092,808,
970,688,714,449,571,577,921,654,750,259,723,387,652,991,095,146,147,862,781,
137,757,629,343,425,099,932,344,723,568,484,035,662,208,776,102,059,831,028,
831,359,926,423,678,313,252,360,471,351,627,342,387,783,185,482,254,719,406,
626,932,314,691,483,194,046,968,764,080,756,101,289,795,633,292,734,886,866,
325,375,003,092,844,121,324,834,836,728,033,592,881,220,369,625,571,206,479,
752,962,599,918,050,370,320,438,572,460,753,875,323,331,908,083,164,204,169,
744,826,499,152,831,464,127,282,870,307,350,756,955,944,426,628,616,480,231,
902,949,075,524,885,866,149,914,522,173,549,843,804,627,782,132,716,561,490,
704,094,541,873,501,185,098,218,501,282,904,154,917,932,474,916,819,983,318,
628,875,798,769,190,585,515,380,312,133,818,464,141,787,087,732,851,443,311,
600,757,612,465,975,563,767,590,771,499,439,716,437,420,969,735,001,989,474,
385,844,876,494,521,595,323,608,805,623,464,080,465,533,144,394,022,589,705,
695,542,471,494,493,153,057,013,558,962,375,665,532,389,043,883,278,904,975,
378,870,368,315,965,687,537,867,483,152,453,270,236,773,164,490,207,676,877,
987,070,591,295,703,765,451,562,763,173,025,364,801,426,748,795,930,891,998,
306,166,949,361,780,461,811,815,676,778,192,742,796,748,902,165,396,182,140,
542,777,799,824,011,389,842,580,039,093,554,741,345,689,564,815,199,575,279,
829,827,092,723,171,862,901,322,760,181,536,549,208,656,924,424,173,308,959,
980,738,332,662,842,054,694,369,048,943,418,280,757,006,530,489,586,318,199,
360,117,291,338,307,501,292,536,838,395,008,641,305,506,979,274,880,842,528,
432,635,162,237,064,008,951,891,578,583,638,344,883,862,823,598,875,949,865,
382,700,969,814,479,127,954,200,430,823,874,052,475,403,098,927,063,867,717,
928,731,874,866,487,121,564,224,495,071,465,644,826,830,146,932,445,092,281,
219,076,335,824,217,276,048,578,100,737,727,176,052,974,859,811,378,763,691,
906,312,019,270,119,047,308,646,407,249,776,899,526,728,543,910,669,289,191,
096,187,176,547,462,460,384,246,488,794,352,994,811,117,657,694,852,266,449,
728,605,694,479,406,388,297,977,449,527,483,915,430,784,061,972,122,243,626,
299,062,995,304,782,806,165,557,210,131,006,947,397,056,198,649,444,393,537,
497,758,585,693,090,325,461,034,787,422,749,451,654,312,777,680,340,800,361,
530,474,171,409,027,667,784,829,916,804,169,992,453,797,560,766,127,318,965,
333,249,865,505,110,264,363,861,427,771,053,925,097,895,499,402,419,482,670,
615,423,930,310,818,066,574,377,571,046,824,161,505,239,318,128,961,787,131,
104,364,670,439,334,103,499,680,643,642,310,111,380,336,277,931,940,641,765,
972,277,920,766,679,574,404,737,089,113,439,711,608,870,990,556,286,861,273,
625,093,520,754,257,239,192,383,301,031,554,793,481,858,733,331,150,277,824,
367,052,917,440,617,639,484,649,667,249,365,422,910,866,853,540,977,403,182,
719,609,596,463,946,599,668,007,227,106,077,569,810,667,284,754,134,908,675,
109,341,555,606,325,973,321,103,976,446,465,490,644,183,308,937,822,417,128,
115,861,666,389,342,739,099,239,998,114,304,035,159,208,386,889,184,370,004,
920,036,232,768,118,665,058,594,303,674,903,935,714,142,572,878,635,744,989,
926,362,831,750,749,932,091,575,798,575,704,421,493,705,550,534,942,673,130,
097,498,896,434,422,515,647,782,931,569,614,733,887,165,668,467,204,749,714,
034,106,771,382,968,420,645,009,822,890,588,962,372,300,570,561,689,938,595,
062,222,197,067,178,922,559,056,434,902,174,573,354,451,378,625,494,544,978,
726,142,230,525,406,330,217,356,664,547,344,825,808,769,352,797,384,327,752,
397,939,837,755,821,167,182,717,545,807,615,767,839,139,565,850,639,606,604,
904,496,545,356,963,285,541,695,040,628,755,344,306,326,542,162,387,036,028,
806,634,718,588,800,013,336,953,302,672,966,363,625,402,791,242,191,975,128,
692,170,826,414,560,992,386,209,174,403,505,526,387,583,663,129,151,529,355,
124,169,002,265,362,144,088,256,145,798,688,696,354,085,537,787,614,650,401,
611,848,078,642,824,185,957,232,329,125,799,363,683,439,143,816,249,806,372,
463,000,923,464,119,845,418,900,856,933,588,262,649,614,407,023,202,851,764,
576,576,441,121,252,442,621,955,981,439,647,663,271,770,589,045,523,829,851,
121,125,006,338,653,660,224,478,407,632,507,393,304,877,470,289,234,127,241,
549,686,411,094,306,062,765,217,536,382,458,683,628,074,895,365,321,274,491,
774,051,429,733,012,816,274,460,643,621,160,033,250,775,755,000,730,014,153,
468,841,713,589,602,417,610,447,368,470,306,441,801,456,797,241,632,569,629,
576,630,657,748,878,255,700,700,644,294,439,061,975,103,070,252,150,359,464,
508,454,507,271,636,453,198,065,392,421,926,228,241,455,754,431,549,357,826,
587,778,024,216,782,581,653,002,803,548,343,135,026,348,524,408,039,856,768,
837,187,351,084,094,693,892,535,553,846,426,657,717,777,205,966,802,874,541,
473,415,370,887,316,868,345,998,899,242,954,883,240,484,826,991,228,162,050,
329,195,305,843,485,326,768,833,161,499,082,594,800,945,732,359,771,886,256,
277,421,015,980,819,902,237,950,715,119,664,497,604,782,119,450,460,194,154,
468,342,586,372,552,571,969,832,087,234,587,677,749,821,982,456,580,740,904,
405,688,100,754,673,401,090,702,366,333,620,763,376,332,492,883,439,188,365,
798,197,194,552,414,382,007,694,043,756,025,204,540,049,532,549,425,440,628,
361,209,246,666,197,070,332,279,274,115,425,051,390,443,914,726,663,990,266,
975,686,280,818,200,482,066,539,688,998,066,520,319,889,793,458,582,394,923,
542,090,156,780,837,948,581,340,961,643,928,890,111,036,438,541,990,890,956,
991,366,686,528,379,069,600,532,175,178,209,670,920,882,760,595,986,130,310,
153,832,411,660,913,155,585,984,700,842,121,086,361,087,486,748,097,043,729,
363,869,075,620,036,702,788,178,714,759,159,666,565,692,972,217,400,883,641,
019,381,198,426,418,698,342,963,018,016,387,370,710,496,887,073,823,466,680,
258,361,352,633,078,301,457,230,826,488,144,994,652,194,104,552,555,045,097,
158,990,561,338,987,449,088,280,371,227,075,118,344,648,336,588,836,172,096,
453,688,175,664,372,152,860,438,685,689,796,192,818,591,745,252,810,868,471,
866,856,336,833,647,554,929,338,594,383,573,727,608,089,187,704,352,128,595,
743,015,187,816,677,328,913,012,459,424,544,508,837,517,427,713,947,644,337,
811,769,327,808,843,320,399,860,722,071,285,326,737,697,030,210,442,765,745,
905,006,866,449,077,759,187,256,941,116,532,656,852,698,233,263,919,836,136,
188,010,522,523,433,370,522,025,021,521,764,333,355,321,463,969,613,981,318,
695,045,817,985,626,503,490,535,561,674,870,503,225,928,653,392,751,244,526,
161,547,498,865,958,807,281,365,413,133,740,380,098,855,890,131,753,206,494,
445,297,990,998,197,730,235,980,319,657,243,178,952,177,787,895,158,000,093,
144,308,677,018,007,528,067,090,602,894,945,763,715,226,212,952,306,751,068,
774,006,295,740,907,092,263,170,357,961,297,582,043,317,675,114,739,258,482,
887,311,087,601,284,089,849,593,929,430,717,195,532,126,010,643,070,638,357,
464,365,334,106,042,838,554,235,584,794,997,661,488,027,601,093,657,212,834,
736,641,176,012,180,066,693,427,548,061,965,743,561,671,135,165,119,331,341,
937,525,628,963,576,107,069,434,829,082,305,336,421,225,257,588,604,599,542,
994,179,814,177,709,938,416,654,554,673,466,689,655,933,034,383,415,173,797,
154,199,486,266,571,609,923,901,683,674,989,646,526,130,121,245,418,700,606,
981,277,050,844,512,680,710,534,115,805,023,748,534,884,874,071,267,196,395,
465,539,886,952,847,279,175,652,729,896,030,656,122,291,774,167,900,575,819,
632,777,479,744,479,333,057,929,791,239,577,368,222,815,191,111,286,507,920,
516,010,165,156,660,936,001,079,520,335,700,783,697,607,845,660,046,674,001,
635,967,978,117,756,923,553,253,257,239,815,751,822,063,195,216,259,640,265,
820,657,434,095,066,179,797,046,871,709,719,420,072,991,807,368,832,313,239,
428,457,956,643,021,504,063,980,277,153,522,131,173,352,673,435,465,023,395,
032,442,869,697,004,303,128,863,437,616,167,118,865,695,453,379,179,982,903,
066,149,449,417,941,891,585,436,015,483,418,805,116,487,784,837,664,613,399,
955,222,293,219,393,432,466,489,640,469,429,782,002,697,633,921,707,850,123,
744,800,324,615,654,619,939,518,086,478,800,000,234,087,458,652,381,236,796,
176,374,829,219,398,383,320,677,804,287,852,082,609,183,895,052,026,505,394,
574,988,725,279,038,666,831,091,154,363,024,901,089,160,928,371,128,804,383,
475,004,718,974,074,515,802,840,648,769,289,441,152,123,546,249,693,753,536,
303,211,762,953,305,822,357,786,191,377,279,172,247,497,492,943,696,076,464,
460,641,389,187,557,085,358,284,547,401,738,414,435,698,784,124,510,216,553,
186,552,463,747,873,898,549,353,788,672,373,050,266,120,041,599,128,599,235,
937,891,534,039,523,036,453,731,317,096,167,585,565,344,340,878,090,795,554,
356,168,561,426,585,035,882,999,493,218,994,569,061,976,924,254,861,217,348,
758,258,752,899,437,352,528,528,031,338,259,633,654,858,420,469,175,884,848,
817,209,685,679,702,985,589,283,893,837,694,795,947,890,338,139,967,592,973,
469,251,958,654,996,561,529,614,317,866,529,981,759,587,011,826,275,926,438,
742,361,404,958,418,975,763,376,375,544,520,337,348,625,721,238,541,159,902,
845,131,611,658,131,734,682,706,405,385,125,648,762,146,670,109,891,531,833,
643,784,150,970,617,649,472,156,877,331,584,704,679,030,008,975,445,867,806,
376,984,216,528,804,913,691,101,946,217,078,354,408,304,832,946,777,363,119,
855,075,470,485,093,186,738,503,144,977,420,608,576,528,836,348,929,669,103,
163,704,726,369,067,194,624,945,210,330,418,006,463,360,380,174,032,234,838,
227,193,925,176,575,385,789,684,267,475,631,062,960,721,351,651,061,039,127,
607,037,005,580,229,270,772,857,542,229,160,213,519,968,507,254,018,245,910,
333,316,422,098,828,587,879,935,335,907,405,255,043,841,134,409,672,366,625,
891,606,603,483,621,418,662,790,347,461,698,781,064,551,776,201,494,335,595,
951,159,873,649,901,186,724,935,980,532,510,525,105,941,602,889,700,581,473,
199,323,656,400,236,319,572,855,658,641,003,135,990,029,855,295,063,579,177,
583,789,703,054,471,113,181,182,902,450,517,302,049,709,870,491,522,725,128,
446,091,141,222,826,336,883,524,369,155,380,550,657,737,994,447,777,787,329,
327,378,075,428,771,751,329,043,486,777,267,558,700,900,757,101,661,737,224,
912,595,066,829,412,103,631,100,909,667,252,264,390,984,130,639,794,249,113,
839,436,918,796,210,105,524,486,264,481,505,283,541,780,044,791,093,132,013,
718,471,080,176,344,346,282,790,689,008,871,755,944,353,261,793,285,135,187,
492,824,510,915,849,606,460,780,867,426,796,257,997,976,427,080,514,095,013,
496,666,107,024,803,978,185,056,910,560,912,591,136,117,890,717,329,271,380,
237,287,027,179,032,448,163,900,829,385,002,606,134,816,061,409,757,308,696,
711,249,120,931,809,049,447,935,030,809,027,985,993,648,909,388,149,814,801,
360,823,394,690,333,118,027,169,972,203,045,642,417,434,605,830,443,725,024,
999,308,897,913,474,686,371,647,978,990,128,931,964,030,896,365,580,132,479,
745,372,182,981,004,212,836,955,749,496,580,477,928,275,107,841,314,369,206,
680,068,668,665,232,652,720,073,271,068,386,881,577,082,769,516,535,346,478,
818,995,119,520,542,741,529,646,569,711,815,848,060,228,523,372,213,819,578,
153,771,932,722,225,035,685,215,038,344,683,951,662,340,492,262,553,148,186,
483,198,738,551,734,320,846,636,396,472,860,604,648,299,139,200,914,662,190,
755,662,454,719,449,997,336,587,616,328,635,021,957,044,067,817,258,643,342,
920,053,796,924,884,906,091,160,187,774,799,338,773,317,869,129,297,774,546,
010,051,089,546,193,753,395,902,527,474,508,936,922,247,012,205,114,197,535,
947,515,786,316,316,043,224,723,821,901,544,232,641,160,115,432,212,406,201,
603,006,727,172,606,321,020,951,466,717,237,515,854,949,670,318,526,793,280,
736,924,464,875,497,775,816,727,324,510,968,749,953,221,775,576,085,766,948,
653,487,859,784,632,238,278,447,796,173,529,687,074,389,493,530,814,228,605,
288,435,897,274,936,984,721,592,170,590,173,670,563,298,448,903,180,431,955,
518,048,195,425,563,048,501,125,381,616,824,034,206,760,927,778,088,908,120,
901,946,240,373,489,797,070,136,020,908,048,902,727,592,031,399,356,469,606,
939,759,022,021,498,624,545,761,875,515,194,332,756,826,262,973,939,826,127,
166,040,744,984,999,534,346,311,265,073,727,090,767,240,154,760,812,131,663,
579,846,013,599,793,713,000,687,053,924,489,892,176,442,196,911,514,663,557,
587,944,538,228,887,670,922,114,203,490,940,334,673,812,342,120,059,082,155,
584,005,109,891,178,458,862,954,246,773,196,688,866,188,427,868,550,283,974,
265,292,839,353,233,546,775,239,791,473,008,665,875,639,214,827,244,110,874,
032,233,325,413,638,613,688,038,587,415,826,822,328,939,896,925,617,904,920,
678,842,849,216,578,162,896,423,337,337,129,235,334,664,282,439,789,972,072,
523,589,787,211,806,694,181,006,368,571,172,902,088,325,970,477,504,027,786,
592,651,904,286,327,106,606,649,362,915,747,358,987,556,300,322,645,015,741,
179,625,339,448,056,061,597,986,552,770,996,510,603,903,449,884,767,395,312,
473,563,034,492,930,454,615,440,991,250,799,934,456,972,270,672,866,057,125,
594,340,244,194,072,195,347,088,787,418,763,804,712,901,503,447,765,601,587,
730,046,180,955,261,155,766,686,154,197,596,757,252,226,496,690,186,544,707,
489,899,570,947,787,153,967,553,133,378,040,836,609,402,460,450,737,151,730,
779,849,769,657,493,009,760,408,798,011,125,865,407,234,233,195,511,289,701,
667,711,052,339,434,397,059,725,742,929,225,286,353,143,426,892,150,792,371,
129,628,178,396,310,945,750,737,789,183,551,125,233,826,432,964,241,389,416,
346,774,027,055,903,520,395,703,357,563,785,916,404,586,872,233,396,725,479,
037,556,476,502,287,139,915,594,323,612,273,793,832,516,745,842,548,759,433,
617,648,673,760,039,999,911,766,992,178,431,543,262,620,585,422,785,900,957,
779,570,819,787,331,091,142,473,568,423,279,430,485,283,572,959,701,047,572,
449,665,905,595,982,998,371,241,408,525,952,926,449,917,378,818,671,011,153,
865,437,920,299,600,278,214,463,299,574,467,395,808,787,468,767,361,005,682,
206,287,967,471,993,437,346,166,926,822,936,738,817,857,047,832,939,663,225,
142,123,866,021,008,963,046,265,933,192,370,484,718,769,231,270,507,098,909,
815,893,543,897,347,695,986,212,574,980,777,567,743,118,680,599,785,177,133,
891,046,709,120,988,721,817,183,828,229,364,440,433,574,172,297,030,077,616,
381,765,266,155,181,457,712,994,163,795,052,330,053,657,837,919,965,886,524,
184,403,036,456,067,198,844,462,831,158,068,045,419,637,366,919,143,238,849,
564,038,808,339,227,542,067,463,425,574,041,510,566,685,992,639,908,302,064,
160,008,967,989,247,531,123,510,225,599,876,894,394,870,473,384,078,937,050,
426,181,427,126,209,467,337,460,594,373,792,916,423,851,132,796,318,806,018,
448,982,249,624,751,657,940,000,817,754,513,031,883,282,556,873,370,723,382,
740,072,339,376,639,826,885,486,047,870,939,567,880,099,722,947,577,148,880,
702,752,311,505,882,084,003,427,520,601,426,532,333,836,501,716,789,515,855,
905,187,372,316,508,824,613,931,991,535,304,060,020,311,528,056,245,100,412,
546,362,307,464,658,460,583,111,534,179,456,557,107,375,801,811,485,885,003,
760,801,091,647,792,101,615,443,439,642,777,491,355,171,084,897,479,777,642,
421,123,887,127,207,868,828,489,086,995,649,776,892,578,710,766,910,328,675,
550,138,964,050,906,460,308,141,589,184,165,754,325,319,461,575,088,431,599,
936,249,816,950,796,895,895,929,555,844,527,887,872,722,888,804,553,079,142,
459,867,539,762,671,121,097,886,991,322,223,388,785,102,109,903,143,802,864,
225,630,113,754,608,765,973,652,712,642,142,589,603,000,594,736,192,705,572,
832,267,929,663,098,228,654,409,486,594,720,317,641,553,294,830,775,647,545,
858,090,517,726,955,508,814,374,627,732,370,557,455,348,129,954,251,177,351,
110,370,436,203,011,263,433,278,115,732,534,933,512,720,426,645,477,055,067,
657,693,767,074,609,233,756,764,305,955,421,261,093,120,786,693,685,102,803,
319,422,640,830,856,672,993,497,889,461,482,602,149,670,498,639,414,989,654,
922,215,546,784,248,257,498,987,365,671,908,144,966,951,185,154,210,045,944,
426,910,490,752,251,724,748,025,954,691,963,456,884,070,744,881,743,537,867,
874,907,430,199,083,645,444,389,585,635,306,771,452,041,997,634,776,673,490,
484,439,569,265,724,685,390,898,225,712,331,709,590,942,849,935,645,728,671,
978,187,070,894,967,374,393,844,727,743,772,611,171,124,786,628,275,595,665,
194,857,484,298,689,070,422,242,305,280,844,452,465,154,972,289,077,154,068,
257,045,998,419,745,362,785,844,661,408,266,905,475,367,400,602,637,802,419,
048,469,055,897,096,947,528,881,888,664,861,191,778,547,131,143,083,466,176,
158,515,937,317,434,706,877,258,189,287,249,942,981,791,859,894,555,043,482,
525,687,884,144,251,698,091,287,036,673,672,094,376,655,582,199,935,816,128,
326,753,561,794,260,897,174,547,867,177,767,756,509,929,344,522,418,676,564,
457,476,361,219,160,060,931,767,423,654,898,145,029,826,045,030,318,995,415,
236,219,281,721,214,473,370,739,774,039,432,999,764,845,887,238,976,785,296,
453,536,595,939,748,675,509,982,254,337,815,706,816,714,488,796,505,576,607,
607,358,561,994,338,630,673,669,824,192,471,656,088,692,271,260,080,852,754,
499,163,700,678,771,683,300,268,858,718,366,208,009,686,790,323,284,414,342,
602,520,506,171,567,723,480,353,535,662,831,146,008,341,578,230,782,937,902,
594,879,749,000,283,731,516,334,045,122,133,125,088,131,856,967,992,176,593,
473,656,350,893,365,070,435,602,777,873,664,505,924,412,532,397,443,478,072,
369,330,238,027,336,767,181,010,781,872,567,056,910,357,481,113,153,451,073,
257,990,332,501,142,844,228,915,347,335,406,242,674,723,357,289,971,220,356,
622,310,561,512,812,391,807,273,133,642,087,655,404,449,808,998,463,860,533,
152,769,508,716,469,859,163,827,554,120,729,340,398,491,754,511,373,744,471,
551,043,759,442,918,809,643,969,315,980,209,062,004,811,079,109,312,859,044,
962,215,662,424,122,652,939,218,512,403,127,347,907,039,065,276,488,919,184,
990,759,360,940,182,971,591,380,157,302,352,462,972,415,344,468,794,072,357,
121,256,611,238,770,318,617,206,222,831,886,762,279,351,125,225,347,316,452,
781,417,462,391,142,502,932,930,934,292,890,906,951,195,764,770,283,580,161,
067,308,129,378,515,760,963,334,874,898,760,501,661,888,070,641,247,765,399,
671,341,959,317,815,440,297,782,496,739,062,836,020,684,785,902,870,651,069,
417,724,949,838,700,695,426,358,667,633,569,753,571,606,052,619,239,911,502,
968,181,266,674,352,669,905,255,855,029,151,655,040,637,980,128,647,095,789,
171,225,525,295,822,353,326,214,182,548,766,550,122,272,982,625,535,256,266,
146,480,234,011,719,785,522,285,022,627,450,566,403,995,384,964,887,042,681,
501,739,948,217,304,302,136,003,903,895,761,260,664,802,266,109,783,795,731,
270,470,753,740,091,517,160,016,805,215,960,050,494,823,191,019,105,645,326,
255,190,751,597,851,236,041,496,169,913,811,877,971,793,438,880,839,495,584,
359,465,792,878,503,392,299,978,007,800,962,250,783,583,859,468,615,827,315,
488,983,225,477,713,650,461,358,862,883,173,992,878,132,856,314,322,656,120,
835,355,380,932,277,162,480,214,494,872,915,973,795,494,209,995,829,338,875,
495,506,410,536,497,699,216,621,013,520,970,158,921,872,416,123,053,222,558,
160,104,188,173,794,115,498,283,295,453,661,673,914,118,193,621,163,964,109,
780,101,956,366,244,564,966,231,129,886,587,112,124,000,105,800,792,860,218,
943,132,836,542,358,852,311,340,680,218,715,511,534,237,862,673,113,143,867,
027,058,632,679,740,086,496,549,294,393,905,542,281,581,049,777,131,086,778,
313,846,021,359,203,529,165,706,815,508,043,115,509,886,304,826,821,789,518,
008,117,056,983,318,491,153,504,470,966,285,205,114,102,853,844,949,556,377,
265,131,576,721,850,260,135,528,539,201,245,763,080,349,215,997,588,732,841,
910,433,877,045,520,319,396,852,099,232,083,646,312,836,884,029,064,610,535,
754,688,160,886,024,398,036,836,091,774,728,975,573,366,393,544,908,007,201,
402,863,639,757,081,699,486,693,556,169,758,872,328,972,088,876,242,673,801,
025,357,707,453,167,175,408,488,873,244,333,038,479,343,274,342,061,923,056,
523,514,578,263,650,980,521,583,042,613,566,835,715,017,444,138,686,244,279,
615,964,430,342,552,978,304,657,802,791,066,280,804,777,390,300,901,370,534,
364,294,603,725,888,373,923,157,811,151,955,418,814,691,445,737,133,253,077,
894,357,433,278,060,036,437,295,243,084,670,397,023,727,012,885,017,540,762,
368,320,170,199,188,580,826,089,733,585,644,529,762,381,845,211,309,426,101,
434,931,556,077,756,832,031,938,303,646,588,465,678,132,824,078,718,588,098,
743,587,906,021,711,507,668,532,638,420,499,645,667,067,460,462,905,820,780,
848,184,417,004,104,635,492,588,510,272,093,779,044,538,605,710,194,037,797,
798,190,912,711,138,150,801,418,738,562,390,425,877,517,367,017,162,492,879,
820,087,246,928,926,711,779,901,588,177,973,518,130,209,717,412,873,600,408,
541,435,450,957,950,109,838,413,683,547,291,096,601,750,557,019,834,645,572,
468,715,906,897,118,901,957,893,942,032,893,749,077,920,384,084,698,690,822,
246,196,471,864,623,216,163,522,038,024,772,300,855,996,119,178,117,964,815,
436,204,471,187,800,636,143,629,522,596,245,465,715,714,758,705,451,904,610,
366,394,873,544,775,443,688,250,964,832,423,316,809,496,173,437,670,494,290,
471,246,617,261,457,439,906,873,514,094,310,251,591,226,110,282,645,473,385,
047,635,056,326,165,503,169,495,173,460,837,244,581,620,075,927,742,303,949,
395,189,402,608,319,541,552,592,252,659,101,309,582,155,060,972,509,349,153,
927,722,671,833,754,971,665,287,603,663,486,879,023,588,834,469,212,524,018,
233,108,089,189,272,163,893,987,063,641,844,222,490,375,391,399,924,373,049,
308,241,464,801,463,836,703,529,573,984,509,956,129,897,591,508,612,430,753,
428,095,712,131,011,944,107,895,197,739,238,746,927,153,215,581,917,121,095,
109,617,397,027,189,533,826,285,680,321,334,026,132,646,688,936,636,275,143,
413,222,333,709,808,888,266,556,625,258,032,050,365,264,139,895,705,364,544,
649,922,254,931,463,287,334,175,118,938,582,411,736,262,842,149,935,735,150,
152,679,545,982,728,116,950,033,254,710,522,540,141,763,887,322,767,038,650,
383,630,003,426,104,480,565,730,251,001,846,167,659,927,891,708,935,166,467,
626,949,982,606,474,185,499,773,471,015,145,648,566,043,846,254,897,637,831,
354,865,548,998,166,832,860,315,451,228,090,686,408,864,777,163,139,059,940,
457,112,146,566,751,087,179,108,888,938,046,586,992,368,882,985,957,110,470,
010,990,989,985,738,901,317,138,223,199,181,181,056,432,994,434,478,989,562,
322,776,859,760,232,587,126,294,254,433,390,842,475,295,168,165,210,312,482,
001,077,061,633,744,731,835,701,603,008,642,595,364,873,932,893,323,360,784,
025,905,120,996,170,348,020,013,598,873,977,663,368,822,868,858,389,050,034,
233,570,316,074,450,234,589,488,893,818,474,569,545,741,763,082,645,465,446,
052,498,368,710,570,022,776,648,777,184,652,351,727,568,499,142,248,851,652,
825,401,083,940,659,220,154,466,212,140,424,430,606,146,091,382,824,875,789,
276,581,439,488,972,936,593,039,764,287,362,028,407,981,319,421,153,713,863,
911,344,798,503,437,887,844,028,996,089,696,474,331,068,775,554,969,097,890,
949,260,233,641,524,024,103,469,491,296,837,315,774,898,325,244,626,992,940,
823,102,647,755,324,117,857,248,364,078,644,673,595,450,486,778,160,013,448,
284,378,604,217,370,561,789,927,975,782,979,820,245,271,930,397,917,498,317,
368,866,044,312,036,258,452,437,154,915,777,910,018,941,658,540,947,797,874,
203,688,902,159,100,592,977,316,665,041,577,582,394,717,857,970,293,360,740,
944,500,263,181,556,142,648,285,525,963,987,475,539,212,299,162,384,584,901,
642,786,969,121,609,484,911,590,691,850,376,446,029,057,519,701,760,429,193,
300,704,068,705,420,007,627,385,042,626,912,308,965,961,155,760,917,466,134,
922,816,241,332,992,472,922,792,762,866,524,239,215,698,147,697,208,860,412,
649,191,885,953,423,895,728,300,974,652,127,237,765,138,991,531,922,865,571,
989,279,266,200,449,475,975,312,801,993,162,701,577,959,396,707,689,084,158,
786,392,628,229,284,949,984,859,670,357,801,231,050,191,480,508,961,862,596,
799,073,854,763,283,904,283,932,678,354,286,082,410,301,892,478,973,434,662,
090,896,857,765,601,317,793,511,069,957,670,540,634,302,242,005,487,622,406,
074,626,879,307,896,668,328,064,977,187,065,787,970,692,606,701,528,179,573,
210,492,925,876,464,045,469,631,098,297,930,456,256,486,756,743,934,857,485,
983,041,533,699,003,870,847,326,235,219,017,748,129,733,832,971,587,931,922,
643,128,921,654,742,606,225,508,996,022,558,395,110,327,611,462,144,293,294,
856,777,558,683,632,530,033,834,200,750,020,055,729,077,214,732,813,518,082,
239,556,279,959,053,326,044,652,727,007,850,316,529,150,047,453,527,948,878,
436,990,186,497,867,278,781,695,743,472,813,357,435,364,081,505,947,385,885,
302,813,994,996,212,745,865,036,703,485,342,406,580,015,304,541,551,687,497,
930,907,142,730,000,839,142,819,097,949,083,656,490,556,803,582,312,364,303,
569,780,113,903,683,933,555,730,121,987,992,333,821,109,200,417,056,189,100,
624,682,649,286,080,875,539,231,395,719,455,477,856,406,983,199,647,575,308,
388,836,434,211,576,858,634,112,666,960,034,946,202,681,859,956,197,010,567,
226,886,977,933,173,420,008,737,986,206,160,367,828,851,675,306,505,985,986,
004,487,443,061,669,529,772,584,473,261,524,198,798,697,100,663,529,623,887,
439,337,938,701,533,460,269,783,091,279,680,052,194,721,182,796,418,139,285,
319,364,454,851,458,458,863,810,619,007,693,557,373,612,896,105,149,817,545,
771,191,009,590,989,674,208,631,467,732,747,211,541,031,130,247,903,670,221,
707,057,625,069,262,319,588,059,582,886,591,132,253,222,182,021,879,657,451,
923,528,344,612,893,267,390,892,235,011,071,026,598,345,373,346,571,221,962,
264,993,649,538,885,802,436,857,332,817,815,691,833,904,863,208,490,963,644,
572,478,962,324,879,058,764,153,085,928,998,807,635,668,065,033,961,906,600,
207,615,237,730,679,880,756,475,979,696,112,817,757,873,737,287,476,533,295,
479,930,100,191,073,142,020,539,958,115,510,196,286,597,870,926,388,055,940,
782,776,682,725,596,345,976,011,899,503,528,135,163,981,246,363,762,360,384,
325,940,597,011,635,231,347,499,415,832,253,779,198,299,144,340,096,060,802,
171,912,899,336,893,658,637,627,863,454,160,920,767,255,320,192,600,844,080,
339,281,095,022,071,636,452,821,008,247,810,805,782,725,949,923,373,687,349,
023,365,679,450,421,738,944,325,010,078,221,993,198,960,121,184,576,134,019,
927,741,653,091,910,654,288,102,016,377,022,919,731,610,539,503,279,411,918,
718,184,161,100,112,052,534,815,339,449,128,425,083,604,723,746,730,783,241,
129,433,685,346,867,496,334,905,034,740,356,806,870,054,394,975,889,720,839,
054,689,368,238,476,510,794,560,656,719,460,474,405,479,400,735,872,899,893,
579,095,537,528,967,987,201,033,361,287,195,215,432,329,877,200,830,694,702,
883,258,078,662,145,961,569,992,007,030,843,418,765,466,089,548,361,352,883,
033,482,180,503,317,285,691,144,205,128,333,215,129,035,171,844,586,746,489,
976,446,431,843,748,216,983,732,476,764,996,654,458,125,434,205,367,681,412,
576,713,761,662,548,453,960,853,697,871,363,095,120,320,320,288,063,927,058,
640,013,661,669,572,358,180,953,200,739,547,340,403,727,390,744,147,758,794,
550,586,300,240,014,144,655,492,791,267,361,753,475,465,657,125,669,375,985,
426,971,608,500,221,113,808,311,561,901,184,646,719,966,348,674,500,772,761,
790,634,210,310,688,542,890,298,098,521,469,375,669,648,917,253,022,920,865,
322,159,476,479,092,844,004,440,496,855,024,060,540,306,255,609,308,578,145,
747,142,306,493,342,521,706,842,608,492,708,339,598,287,472,030,626,078,159,
265,889,781,606,649,174,900,437,464,814,661,440,975,891,762,916,749,872,248,
552,763,137,626,651,376,951,567,789,502,039,504,329,749,927,951,564,641,670,
163,595,185,721,971,868,895,429,909,072,680,057,352,166,324,794,895,514,648,
935,891,131,498,921,423,609,728,149,441,936,662,363,230,575,797,119,433,592,
858,122,738,803,726,906,540,609,413,829,351,889,294,368,552,626,589,072,849,
029,219,080,775,855,858,476,794,762,135,440,978,399,708,394,901,545,512,047,
170,177,355,262,538,203,774,227,647,281,566,632,905,537,717,623,912,079,301,
150,000,667,801,326,411,750,854,452,084,986,115,621,651,847,672,989,411,975,
215,489,621,526,793,992,150,039,535,126,459,130,551,606,248,339,315,655,423,
968,747,174,050,459,157,226,360,973,237,711,956,553,368,368,213,125,412,923,
919,861,749,603,265,767,694,892,176,298,054,870,695,345,908,783,124,280,240,
830,747,971,067,437,172,826,404,830,183,486,031,041,493,673,606,174,086,683,
584,588,391,974,148,257,260,673,178,289,221,949,764,965,571,523,968,970,368,
670,162,695,737,611,986,088,992,821,984,801,512,549,529,843,943,987,269,479,
031,400,762,211,686,071,033,486,229,546,665,882,244,637,245,759,399,483,494,
803,030,112,008,369,728,547,148,324,983,799,913,224,831,737,170,561,225,102,
103,650,784,822,870,875,048,727,167,689,977,528,447,319,612,277,660,780,922,
280,914,638,688,442,959,238,935,627,558,604,075,195,538,938,683,915,654,256,
159,021,444,105,419,548,099,630,671,211,006,696,779,479,498,079,467,000,256,
854,057,692,071,652,143,956,857,535,963,719,076,148,443,776,260,662,789,944,
608,467,900,390,805,709,455,985,548,712,895,543,891,359,825,845,109,858,327,
376,562,730,462,767,985,457,444,070,526,098,606,733,877,283,307,923,861,399,
636,638,814,235,474,713,602,388,835,219,609,627,226,794,720,962,749,054,884,
179,126,266,870,229,025,533,250,760,278,142,434,257,750,889,178,187,268,122,
653,817,127,874,310,577,734,530,509,569,864,909,995,369,995,513,261,575,890,
365,978,361,339,735,042,625,038,878,439,260,952,611,387,850,434,871,124,792,
338,193,980,038,283,210,072,830,550,198,707,404,164,462,090,696,820,750,692,
875,619,733,270,331,971,223,699,963,271,685,274,091,096,600,557,125,953,245,
241,980,963,005,283,528,686,357,700,256,890,611,302,019,369,809,213,904,399,
961,883,034,489,471,523,369,814,557,532,668,181,564,925,153,925,851,377,566,
011,663,802,728,051,583,880,866,119,353,066,076,489,403,119,667,754,648,497,
503,851,741,543,511,851,521,030,022,557,136,532,113,743,986,661,450,411,160,
667,336,621,131,217,260,901,392,057,694,048,482,497,812,300,524,506,178,939,
568,737,249,918,575,633,917,137,020,354,249,401,915,311,519,193,398,776,747,
487,643,075,603,148,177,846,409,492,693,972,649,417,616,106,184,921,535,258,
670,939,135,112,603,359,500,837,010,147,587,190,728,351,956,866,142,380,603,
221,114,734,144,646,020,325,512,822,141,368,350,484,627,678,027,704,458,728,
158,152,834,844,464,404,953,325,296,515,947,285,339,399,044,948,988,891,588,
350,176,256,624,103,975,230,527,645,680,867,231,060,233,317,790,956,688,743,
354,603,968,036,416,186,528,725,101,611,830,142,524,919,131,967,547,137,248,
388,203,660,399,217,658,217,388,490,791,297,471,961,088,828,035,438,482,753,
522,201,744,542,631,653,242,336,454,081,614,865,901,642,952,620,237,529,663,
668,751,849,127,719,748,711,688,528,084,246,056,331,788,258,296,018,575,290,
781,725,316,144,849,473,629,196,874,301,416,795,371,228,742,903,667,124,649,
710,757,078,785,249,344,808,395,827,635,339,102,502,017,409,887,110,512,339,
871,000,512,315,828,449,494,115,245,903,669,314,648,597,717,984,941,394,814,
399,978,683,605,872,444,458,118,208,122,213,625,185,635,797,179,733,380,128,
153,420,791,070,824,424,667,402,419,691,290,192,345,507,634,343,919,561,712,
573,926,039,863,192,722,294,775,369,765,961,693,604,189,160,487,716,409,601,
629,988,086,402,711,006,928,181,975,231,242,938,527,011,328,844,067,061,144,
821,067,402,342,172,602,646,699,245,302,876,433,876,525,098,162,139,731,864,
499,321,069,690,927,374,163,552,125,544,409,874,089,660,585,483,968,445,502,
902,967,714,245,968,184,502,359,827,830,614,996,323,060,982,403,510,346,671,
772,539,155,016,505,566,647,157,721,643,462,225,242,792,082,458,292,598,758,
619,046,236,848,478,280,373,804,379,249,101,454,258,736,255,333,022,624,436,
341,811,123,610,287,278,313,348,699,864,302,136,847,268,993,893,431,194,949,
004,633,327,147,416,615,515,071,902,363,075,923,304,724,837,402,299,214,726,
323,371,182,541,614,871,992,317,218,910,105,144,037,695,939,212,478,472,535,
970,360,316,594,275,544,527,847,767,451,908,893,996,022,619,203,386,393,766,
274,916,478,860,480,633,881,728,408,383,063,381,267,951,524,446,582,669,194,
909,325,592,566,775,608,172,161,965,513,447,448,477,906,500,075,091,595,166,
361,280,514,938,309,945,745,110,938,236,147,000,326,070,631,450,445,584,483,
848,038,525,006,397,161,943,210,457,392,570,989,040,992,821,387,191,961,789,
890,558,577,105,457,902,161,177,679,166,564,016,464,150,442,183,102,394,224,
465,138,260,055,269,937,093,653,200,116,788,154,496,679,049,441,691,665,300,
273,848,550,044,927,544,260,831,837,513,134,456,558,965,487,658,255,556,753,
589,611,561,694,428,625,582,856,228,609,062,435,058,767,977,165,762,651,281,
096,788,806,878,634,215,325,547,252,456,277,608,375,483,808,867,870,089,402,
320,296,280,542,187,294,569,214,560,455,995,750,243,279,692,809,440,337,899,
614,195,202,984,775,499,354,608,512,413,323,751,016,720,949,277,015,027,193,
420,936,253,005,853,199,562,091,394,359,630,081,453,854,418,014,443,971,765,
906,220,218,731,078,612,363,539,060,417,515,619,945,224,429,967,527,110,627,
258,185,648,725,624,812,778,925,222,116,276,877,510,127,389,674,186,301,366,
919,419,724,608,912,289,717,304,939,857,685,373,071,222,565,157,629,119,695,
227,460,756,792,576,751,386,829,539,987,262,540,108,657,699,968,953,818,507,
877,602,888,266,273,950,827,513,956,991,522,384,590,919,600,196,769,923,700,
404,843,755,897,713,640,054,728,052,439,493,749,908,019,827,278,848,119,274,
186,374,390,314,942,182,652,397,566,271,955,071,814,230,265,947,653,091,329,
931,557,698,277,403,126,812,061,375,223,834,054,944,339,458,903,842,832,758,
551,666,764,844,519,968,025,730,415,667,955,312,776,505,801,248,026,099,616,
147,088,366,222,295,241,806,020,810,761,240,665,184,073,427,515,695,126,624,
716,640,149,419,478,581,190,933,047,081,448,716,150,790,681,596,670,700,115,
466,809,612,920,077,451,254,205,465,695,072,646,581,668,557,590,856,955,703,
067,842,539,184,195,501,896,299,763,340,774,423,518,453,629,516,072,828,522,
515,816,282,958,832,071,544,442,706,992,768,840,273,028,299,983,567,861,707,
570,400,649,710,014,426,100,428,382,318,958,352,848,996,855,925,060,574,086,
025,956,834,857,331,394,798,856,926,314,862,973,461,118,878,275,207,673,181,
931,890,189,133,701,429,938,459,955,488,054,373,905,757,222,822,356,126,286,
527,580,977,899,126,578,716,388,449,645,451,707,351,652,385,117,911,956,052,
994,747,382,601,393,123,624,100,928,454,652,626,119,412,149,623,541,827,342,
438,022,186,834,106,725,024,117,077,432,737,017,889,870,127,818,196,989,515,
494,736,743,434,753,533,406,287,081,157,576,807,908,178,559,075,595,162,186,
723,485,624,431,137,696,268,563,383,433,657,499,004,983,153,529,230,137,681,
016,212,251,417,935,012,880,285,454,050,219,876,257,473,979,620,436,893,566,
025,009,303,449,693,252,777,181,826,150,031,692,307,843,482,694,461,129,242,
149,366,764,831,350,083,009,236,850,227,373,537,075,262,793,171,179,088,438,
427,294,531,130,787,666,770,338,071,396,837,944,247,755,573,701,262,188,903,
539,153,860,695,563,324,518,344,750,279,934,677,346,367,163,954,937,757,712,
857,602,696,499,552,859,628,937,068,986,306,907,186,304,006,174,495,075,615,
876,423,958,735,779,138,478,726,706,517,639,178,871,074,690,710,882,590,592,
466,350,256,935,367,489,260,778,629,442,236,484,077,022,416,158,611,207,445,
888,256,756,642,422,614,125,626,715,332,121,992,105,522,148,886,779,477,525,
332,805,057,791,697,233,840,290,733,960,370,115,320,255,342,009,249,359,731,
698,736,844,701,194,176,665,943,830,071,519,512,721,436,463,116,969,357,788,
815,795,767,880,695,077,882,079,681,672,094,729,102,108,367,369,223,416,767,
005,997,762,435,344,070,754,211,067,429,436,570,918,287,031,828,814,752,750,
970,837,964,883,153,202,487,161,215,786,723,816,957,638,339,783,465,119,395,
061,818,062,462,648,322,281,938,044,939,990,280,864,959,937,783,322,533,240,
837,262,128,828,751,485,929,558,071,856,255,556,908,976,835,729,260,427,859,
161,314,043,864,860,681,841,589,134,804,723,470,740,036,029,975,455,895,321,
971,402,680,803,738,419,251,097,983,187,724,848,919,099,259,579,533,527,910,
796,975,079,586,450,338,607,374,268,143,739,891,191,269,907,982,820,653,566,
119,112,343,356,870,539,213,812,710,784,783,785,659,930,214,462,969,671,300,
443,836,718,232,902,287,359,639,883,073,101,469,394,304,237,946,403,253,677,
022,944,245,524,482,715,213,008,131,256,762,930,715,178,962,863,640,044,925,
682,262,270,794,720,309,440,700,928,716,630,989,657,789,034,689,125,072,990,
689,213,597,589,062,753,760,043,728,651,917,268,403,819,644,282,791,256,304,
359,615,517,446,557,780,822,133,949,199,529,456,186,416,661,592,822,065,787,
472,569,126,692,698,082,600,408,878,863,089,077,656,229,259,494,775,456,290,
326,748,283,025,099,781,877,009,503,274,842,673,244,007,465,915,179,339,808,
741,909,414,029,476,375,543,751,640,072,765,443,384,199,600,373,242,948,029,
247,129,898,118,855,050,451,857,124,486,588,118,496,372,084,253,964,345,589,
105,310,671,808,021,442,570,168,899,988,103,313,498,652,794,311,144,972,987,
101,220,627,696,634,743,808,762,270,363,808,434,406,110,273,368,142,236,593,
058,277,776,836,893,200,080,348,252,808,556,328,189,011,787,393,546,447,504,
547,067,149,746,452,649,720,690,638,084,423,490,377,349,167,708,940,190,000,
243,931,554,473,704,200,174,901,503,111,558,039,777,869,432,791,644,325,799,
224,214,218,192,950,750,853,928,480,751,990,871,923,367,640,658,493,494,554,
023,109,000,808,783,424,972,749,299,945,097,952,389,974,014,496,020,013,879,
652,205,513,613,141,791,221,648,005,995,856,086,174,450,231,365,408,431,935,
906,229,260,330,944,910,353,374,316,498,883,243,701,170,288,713,443,277,754,
822,421,535,699,836,073,038,580,327,654,510,083,844,488,140,575,769,075,365,
317,545,488,374,154,130,081,134,798,588,648,555,749,204,797,508,821,382,421,
440,707,497,874,351,718,331,851,814,110,031,660,802,270,490,461,400,054,571,
896,986,602,861,411,821,526,178,484,378,712,607,758,029,007,151,367,071,746,
083,033,181,970,278,032,654,242,941,372,945,957,309,945,435,851,277,452,074,
349,098,325,958,118,308,766,915,048,546,461,061,578,241,799,578,209,715,777,
521,021,660,508,125,414,411,334,063,222,085,537,045,202,788,299,581,256,861,
531,262,842,304,230,752,287,596,933,979,658,443,402,080,650,317,082,019,141,
459,516,515,073,444,194,344,872,832,853,122,066,025,940,728,698,502,994,135,
093,887,628,762,983,452,298,978,981,994,483,681,154,421,056,704,946,533,409,
143,345,867,403,181,198,088,716,907,417,353,644,912,290,915,675,582,630,515,
083,666,077,568,446,929,411,368,749,527,564,644,634,448,628,209,232,226,461,
847,286,478,097,103,673,001,214,268,723,325,072,797,302,960,065,159,570,344,
818,368,269,341,216,987,327,088,839,456,625,624,144,368,401,625,296,391,214,
842,673,071,086,531,954,592,419,706,364,469,918,119,205,412,473,136,699,354,
160,626,031,121,262,559,846,450,579,217,293,312,437,774,337,243,451,246,967,
097,297,872,219,154,999,396,120,188,033,364,605,136,011,034,173,143,176,610,
952,025,348,413,386,428,772,514,356,326,655,564,599,582,730,299,529,679,351,
005,576,652,766,930,454,912,039,900,731,075,440,603,462,842,557,789,615,085,
092,243,849,948,288,968,267,609,397,508,167,052,972,700,694,426,746,723,490,
832,860,430,314,294,699,611,376,012,657,365,541,931,706,453,566,592,319,666,
208,488,853,487,870,927,269,572,783,077,546,261,765,159,464,044,748,607,145,
241,035,251,147,990,232,609,542,770,515,842,741,740,171,521,522,976,804,660,
953,005,992,178,981,190,808,771,063,510,502,634,703,172,243,374,662,277,532,
548,933,629,900,685,932,656,729,261,276,471,335,502,913,300,249,751,722,364,
358,287,490,900,627,243,737,126,028,597,007,648,098,531,063,349,890,944,840,
259,893,233,919,543,063,338,504,619,205,217,219,348,843,796,049,599,678,937,
540,857,529,799,823,979,932,846,391,361,115,684,656,455,673,489,405,894,314,
601,986,198,619,420,417,977,599,117,842,947,800,039,697,072,123,027,413,814,
841,378,677,517,231,554,950,488,175,717,039,727,645,456,744,863,856,177,311,
108,839,911,713,762,949,370,195,423,209,273,057,935,470,009,632,841,702,641,
387,410,905,872,710,440,492,328,724,153,604,262,667,622,490,286,352,924,395,
292,158,339,235,503,017,532,734,644,899,436,398,836,462,818,609,304,989,944,
219,892,559,828,116,331,112,201,842,088,729,591,000,072,948,572,675,702,569,
912,515,563,089,745,359,252,349,954,203,251,469,425,729,074,227,406,454,931,
917,463,444,302,135,760,575,478,820,835,843,043,698,570,538,178,552,052,827,
268,027,870,633,792,908,050,674,242,874,750,130,560,346,152,870,761,938,969,
138,160,170,040,735,413,100,289,145,774,942,020,569,598,117,027,218,119,209,
071,173,970,379,506,239,708,124,234,512,820,784,748,053,815,503,145,187,485,
693,968,000,916,895,666,462,426,885,707,285,565,519,890,129,455,772,110,461,
474,828,417,251,744,940,075,002,955,757,184,232,807,512,275,082,811,676,036,
946,152,637,355,378,788,282,277,169,312,985,130,744,721,443,286,881,662,191,
348,788,084,564,040,409,459,830,262,533,903,055,411,634,811,931,895,738,370,
737,069,771,029,404,973,872,711,240,643,537,737,453,559,422,315,879,459,588,
625,545,401,335,371,793,505,247,059,082,890,429,590,007,573,821,380,018,814,
764,308,206,560,366,447,814,517,771,727,198,327,832,097,600,023,823,182,957,
268,337,051,446,347,008,171,304,400,415,371,993,053,240,286,056,613,107,311,
990,308,860,592,640,993,082,424,915,502,801,800,245,363,457,696,614,762,919,
619,791,080,201,249,038,704,523,889,300,761,502,982,510,991,220,771,728,965,
794,210,322,488,172,343,527,464,875,969,162,151,894,082,377,576,609,510,989,
193,855,964,269,776,066,682,888,103,495,968,575,410,529,984,708,007,850,352,
080,316,192,452,135,956,731,471,463,496,236,007,911,464,576,286,086,079,756,
954,416,549,658,806,969,998,174,157,069,763,967,086,334,886,421,652,110,660,
423,661,318,685,652,962,048,230,782,383,757,579,125,292,365,103,331,992,185,
760,276,568,441,562,732,789,076,665,179,002,830,056,911,252,720,350,373,731,
126,165,271,176,740,716,973,461,392,021,952,416,900,896,499,758,320,271,449,
662,823,008,893,356,194,456,410,969,990,680,175,946,510,327,946,449,422,800,
245,043,306,869,382,779,776,319,802,290,794,058,546,119,925,497,290,735,766,
747,919,249,085,670,904,230,378,699,038,827,716,642,681,988,417,930,574,208,
629,552,700,262,631,838,909,336,635,168,163,046,366,972,046,467,394,557,841,
760,362,411,484,312,191,705,808,413,012,167,286,987,958,148,772,536,798,807,
276,715,998,845,899,515,526,295,807,276,254,271,711,054,481,294,412,053,773,
202,095,847,782,553,439,388,555,080,579,204,419,989,965,559,285,535,692,203,
754,640,300,186,389,963,018,948,512,176,985,609,142,183,523,822,562,793,483,
265,825,535,000,078,186,889,913,812,191,047,982,704,451,212,546,791,972,991,
305,327,505,497,055,906,435,212,507,602,845,769,855,552,551,731,075,622,026,
507,169,013,445,249,577,576,140,600,943,909,285,679,059,410,729,533,845,009,
952,330,824,063,045,360,722,015,041,041,125,150,902,645,505,742,934,498,489,
066,711,121,429,663,548,831,872,508,607,573,235,140,723,642,933,766,761,597,
177,933,846,756,992,141,861,968,095,277,630,590,334,126,265,653,267,541,339,
874,791,991,402,731,417,899,011,802,430,944,990,510,007,385,300,144,062,307,
835,121,977,489,585,793,267,917,047,815,431,824,209,773,703,507,190,599,565,
397,935,242,935,091,868,546,129,127,613,025,942,923,494,408,113,811,792,793,
437,891,090,534,389,040,405,331,059,841,638,433,583,557,207,693,747,060,713,
013,448,555,328,044,540,123,001,063,160,316,812,841,914,368,108,073,854,113,
755,048,608,639,736,549,345,507,100,655,519,246,223,168,965,462,324,699,328,
995,385,092,627,993,537,595,420,591,895,506,760,691,645,415,011,995,181,594,
054,641,244,713,144,684,545,613,602,011,925,947,936,603,600,789,545,182,707,
872,869,417,012,234,579,020,425,664,855,003,168,483,247,968,322,473,676,763,
032,968,903,436,242,912,318,555,812,855,753,496,648,574,407,015,706,577,428,
762,658,388,672,439,583,358,386,557,001,461,233,888,393,324,406,014,426,207,
758,018,957,151,175,051,947,250,569,749,615,497,587,736,892,836,882,498,445,
069,706,442,810,108,353,887,134,720,605,191,567,637,043,809,537,434,595,296,
988,346,379,369,082,919,600,844,577,260,683,981,262,477,300,435,493,272,407,
268,860,681,360,165,614,385,352,881,012,468,509,499,605,552,461,935,569,750,
986,540,902,400,906,755,227,529,086,716,769,595,220,007,868,543,865,400,414,
600,345,656,706,707,347,477,528,742,121,669,577,028,241,079,089,235,923,125,
337,511,031,231,135,218,619,462,826,059,032,845,032,349,981,067,833,670,225,
906,246,022,992,011,951,549,129,487,377,387,199,075,523,655,192,953,459,472,
667,574,349,417,403,423,092,316,967,505,531,150,153,803,099,150,364,105,005,
170,841,520,481,830,884,635,859,256,548,412,084,600,691,130,018,481,232,025,
780,084,975,698,406,320,002,076,086,320,099,797,931,184,411,446,074,688,458,
831,633,464,105,070,415,390,457,429,187,407,149,389,182,388,342,809,052,602,
755,427,419,979,382,660,204,315,088,487,439,221,555,277,726,486,465,866,659,
705,532,614,093,917,562,919,494,426,899,732,803,816,087,100,368,150,152,378,
997,990,882,673,647,156,636,488,484,474,725,284,794,197,780,684,472,452,845,
950,031,334,643,696,149,552,879,954,397,521,889,443,478,267,696,854,230,897,
996,645,773,812,070,699,396,670,469,687,972,520,210,242,790,634,672,992,730,
962,592,769,220,679,543,232,683,459,222,909,352,860,753,550,348,596,530,439,
602,394,524,635,093,588,165,135,751,367,406,460,095,620,007,839,771,020,306,
648,821,932,128,778,399,952,301,404,497,775,671,555,657,453,300,720,098,774,
082,609,838,352,965,744,456,236,877,753,324,773,989,321,215,210,065,944,688,
816,019,998,178,649,510,907,245,250,813,829,159,620,366,299,887,560,803,205,
039,139,862,135,181,555,154,006,733,701,001,058,162,972,150,698,211,270,852,
153,075,963,727,451,800,626,197,818,613,497,897,086,672,763,761,717,770,192,
733,007,212,851,111,722,412,477,202,328,476,629,691,266,959,491,032,021,811,
235,085,064,661,772,016,625,173,152,724,920,500,436,801,658,613,351,098,068,
489,446,781,191,006,596,054,466,360,673,867,529,874,970,618,327,319,139,043,
176,396,645,387,342,421,477,328,632,407,577,299,738,122,723,079,647,971,181,
057,563,897,499,904,776,835,439,911,854,510,818,020,728,077,222,433,958,011,
139,667,345,389,612,693,456,145,991,460,733,415,569,760,871,769,094,382,632,
867,552,134,164,060,286,091,015,286,845,640,045,833,426,131,701,760,299,952,
072,909,350,510,280,313,889,125,144,355,678,528,493,252,611,039,996,240,475,
098,893,323,107,115,292,562,608,939,454,053,521,368,308,115,880,461,054,862,
514,868,871,118,192,784,192,083,955,056,588,759,521,384,443,877,765,405,469,
044,472,574,138,635,920,714,688,159,213,575,548,678,820,986,160,687,863,643,
167,402,325,520,918,144,647,217,694,561,417,765,047,999,802,217,498,345,987,
662,001,048,607,048,096,306,457,799,893,062,005,420,215,659,308,167,167,101,
140,433,458,126,880,894,876,055,799,718,050,948,842,086,511,551,399,038,098,
643,673,630,296,461,529,308,484,520,731,744,390,606,653,591,312,373,084,108,
219,762,941,253,400,963,726,012,764,500,472,747,590,315,934,533,564,914,962,
832,847,165,949,081,271,296,680,500,391,667,995,761,803,579,051,797,012,506,
676,515,478,727,411,474,488,887,061,804,647,536,803,240,335,150,093,181,472,
018,976,399,864,391,205,042,720,508,827,903,905,448,659,883,656,291,652,322,
258,968,493,604,747,168,128,583,481,653,351,109,529,270,729,492,808,878,926,
598,924,925,003,228,663,119,198,660,021,713,351,717,215,940,450,516,694,131,
869,078,192,428,638,431,556,051,354,679,948,219,190,248,468,108,779,913,709,
860,054,598,614,564,788,638,677,134,822,654,298,478,061,142,906,310,719,281,
620,464,538,940,145,335,952,976,543,270,603,181,428,892,490,905,997,766,107,
061,971,562,262,456,186,724,595,905,159,364,936,717,027,879,394,645,225,075,
766,931,931,489,479,580,732,378,694,534,000,818,658,882,198,114,209,168,245,
820,826,678,138,928,635,934,943,600,098,946,403,149,059,980,317,181,623,853,
819,608,365,534,367,540,220,711,950,072,625,495,415,148,498,733,381,412,035,
627,703,617,198,417,647,125,875,470,209,717,513,088,715,362,984,138,284,352,
834,641,060,581,262,196,174,109,386,802,528,806,070,242,219,510,533,770,901,
530,518,400,688,915,144,191,443,936,405,857,253,287,478,116,267,606,282,957,
462,513,486,730,426,559,738,362,158,673,939,785,154,261,470,967,476,231,017,
874,653,575,037,835,013,002,638,961,528,349,104,700,456,352,012,586,043,674,
982,407,347,584,854,173,755,241,921,391,093,450,721,921,280,654,737,326,657,
022,711,160,288,909,495,626,368,203,417,571,520,071,835,055,075,249,481,779,
523,445,556,137,115,887,669,624,109,385,684,325,224,422,026,640,336,104,318,
648,270,223,262,667,571,977,051,303,954,335,730,426,182,617,564,753,681,812,
750,507,717,958,834,564,447,180,261,150,551,341,282,426,905,683,545,894,527,
699,333,418,507,702,051,802,399,920,013,101,717,413,273,953,566,617,960,022,
097,456,338,984,898,176,094,935,230,916,199,356,386,580,676,159,412,913,226,
316,474,479,802,071,831,063,944,812,916,224,095,691,394,878,837,977,302,653,
537,886,719,448,190,037,525,650,412,705,412,582,182,846,836,326,003,676,269,
205,233,321,621,526,188,799,416,594,347,605,390,288,918,410,452,892,166,055,
494,342,484,587,049,095,834,656,029,870,206,056,955,166,377,412,664,375,279,
562,432,398,276,179,828,414,893,848,379,415,582,936,947,988,322,401,632,535,
342,872,528,599,259,612,132,568,510,561,447,550,339,740,432,733,980,125,217,
742,095,790,385,626,550,406,004,600,072,719,203,813,811,631,233,232,326,349,
746,330,415,812,169,369,645,688,103,082,694,098,578,394,960,866,542,401,757,
238,150,370,634,086,281,088,938,819,694,470,261,574,747,263,658,615,513,707,
502,871,477,311,314,094,580,023,540,843,983,289,376,873,891,775,358,350,762,
845,750,615,077,895,063,446,636,288,809,089,222,497,211,185,404,619,703,404,
131,708,236,651,381,768,791,240,092,023,005,321,130,073,933,268,544,273,334,
721,116,301,137,191,099,468,929,966,219,312,281,207,060,489,634,438,297,242,
188,367,577,731,411,390,478,078,433,479,062,463,792,027,937,306,695,797,652,
718,234,605,865,167,723,531,006,170,577,856,830,547,587,056,517,572,021,086,
838,323,269,451,736,373,052,649,291,280,044,419,762,156,224,847,482,514,487,
240,435,276,252,324,188,714,258,330,204,966,127,092,370,910,415,456,460,649,
276,482,437,892,251,176,932,058,125,849,477,247,047,200,899,389,457,262,592,
924,014,585,857,721,474,153,907,281,614,846,501,400,053,983,273,828,349,526,
118,130,644,364,931,541,062,658,605,637,945,339,335,870,856,047,762,777,608,
343,793,974,102,103,476,163,236,332,087,039,949,632,224,891,545,131,201,214,
204,630,294,630,882,199,099,778,221,526,986,486,875,399,295,734,657,956,952,
402,606,573,438,488,278,006,614,022,130,038,975,813,896,195,686,457,977,625,
523,826,611,491,567,470,541,131,848,084,418,558,871,875,355,535,759,815,011,
717,949,501,738,392,118,137,082,242,584,455,467,064,828,904,749,729,297,878,
136,526,045,649,440,230,667,118,300,501,736,017,789,220,179,083,266,878,437,
620,592,353,689,951,372,370,011,906,130,726,482,408,772,230,173,424,401,817,
159,682,506,605,610,520,399,880,478,347,298,614,653,619,596,860,607,284,314,
296,845,204,630,894,653,944,549,437,591,632,762,838,255,588,820,253,706,401,
732,567,888,155,597,306,205,780,949,242,115,919,500,360,496,641,096,447,653,
448,847,104,758,546,251,723,055,331,731,179,005,726,115,217,572,484,948,922,
881,139,024,524,878,002,469,620,084,754,115,591,949,792,244,911,904,804,192,
767,482,352,392,057,347,954,267,541,409,597,737,119,725,424,606,986,551,031,
842,384,310,392,975,702,151,192,755,592,449,436,981,461,238,049,636,830,310,
137,961,175,606,802,160,880,772,910,661,693,142,339,178,632,589,014,543,818,
524,540,446,456,499,566,499,046,634,288,947,794,692,160,363,293,950,755,505,
548,672,749,009,962,082,351,017,516,221,616,599,681,491,711,817,027,545,683,
016,991,560,262,199,928,161,648,659,668,659,087,413,378,602,667,823,548,466,
036,902,042,996,160,537,042,773,728,038,935,242,078,195,252,293,370,369,950,
262,636,014,399,313,907,910,301,237,125,556,603,647,503,997,583,420,142,612,
629,640,044,227,058,916,876,261,853,144,698,384,872,099,650,051,967,117,587,
196,973,688,765,896,802,829,809,533,052,327,482,250,193,737,515,587,981,684,
949,652,520,329,383,904,652,256,110,105,993,404,161,196,751,677,871,422,598,
966,156,872,779,179,091,990,623,214,571,090,103,086,426,216,179,861,304,595,
687,132,121,449,867,252,789,072,351,284,745,814,664,402,164,363,376,957,156,
801,394,320,084,699,221,233,337,025,871,265,210,641,408,819,967,660,727,172,
709,389,149,682,547,641,017,216,827,555,748,417,919,619,162,448,910,536,678,
791,947,956,727,967,817,821,194,430,158,409,660,396,449,708,651,266,093,177,
751,140,650,449,331,417,761,247,328,629,676,638,904,992,247,333,625,943,543,
113,401,176,747,071,770,965,021,271,931,828,939,095,885,441,002,244,175,867,
501,929,664,609,799,084,542,958,788,212,942,633,442,692,651,176,243,350,653,
397,917,157,537,918,360,459,862,090,736,652,831,708,740,193,414,576,429,183,
477,054,477,840,694,829,276,430,717,293,575,572,567,455,484,157,076,990,294,
958,347,521,763,524,299,805,422,862,806,318,208,875,583,172,299,312,094,934,
970,444,831,705,609,802,653,762,113,069,812,865,262,768,947,873,514,109,898,
400,713,627,032,840,617,342,771,862,940,842,180,619,495,291,124,744,279,164,
820,928,996,729,899,905,862,104,952,835,559,837,170,009,255,201,807,740,723,
169,287,343,382,248,931,758,284,960,702,968,232,388,736,096,691,199,998,448,
748,489,638,250,548,155,786,477,178,008,380,584,269,074,270,480,871,135,081,
006,582,930,485,486,626,021,736,442,795,271,228,855,092,221,077,443,391,350,
775,939,181,665,993,126,770,413,752,794,790,114,229,034,091,556,686,586,486,
419,921,456,199,063,553,292,532,814,721,088,443,229,565,886,245,374,888,790,
503,450,837,532,958,220,598,480,005,575,566,363,005,977,190,358,618,401,284,
081,922,309,090,071,943,433,453,127,339,862,091,447,765,073,730,850,227,587,
284,897,864,783,721,256,279,626,030,746,070,609,884,426,737,104,219,884,033,
877,827,178,450,918,155,958,347,073,941,570,225,205,196,236,331,054,280,161,
318,515,945,900,000,814,062,833,144,066,828,566,063,213,340,560,036,721,209,
770,263,894,734,078,687,399,546,752,834,683,070,499,249,981,077,212,242,295,
055,174,888,087,827,051,782,893,020,260,369,798,079,666,609,137,759,604,907,
467,530,690,323,123,384,218,147,007,456,572,861,063,121,039,464,361,906,658,
538,574,973,504,349,170,117,097,280,330,140,839,248,787,084,175,424,076,650,
044,129,462,831,155,932,582,440,717,556,858,623,488,816,440,963,557,742,698,
568,149,227,076,877,242,488,321,009,103,438,122,945,826,286,993,981,066,429,
171,815,820,212,508,593,573,908,732,975,174,897,148,016,101,433,818,979,691,
076,895,605,512,972,480,766,225,572,384,332,370,042,330,573,917,943,211,466,
210,216,320,605,630,999,469,725,939,087,597,333,532,522,255,394,869,892,777,
377,692,156,548,755,991,276,960,289,620,453,882,900,648,885,367,920,012,536,
052,341,607,128,817,624,155,424,576,665,612,307,614,373,250,433,230,459,370,
177,057,403,935,003,310,706,671,010,354,273,020,817,930,085,482,285,126,501,
728,499,227,300,293,891,176,289,834,277,427,717,950,325,479,058,639,683,182,
551,506,660,499,675,770,113,176,837,376,823,130,239,064,296,972,662,721,440,
339,421,529,415,668,642,871,042,645,381,812,830,479,442,050,319,612,747,647,
258,982,408,304,994,497,741,286,375,328,287,165,104,281,174,691,214,612,205,
709,063,628,093,387,085,466,813,729,180,287,587,009,924,067,502,255,629,298,
099,733,990,987,795,333,888,628,791,371,808,900,279,321,779,071,252,813,298,
106,399,588,946,408,446,325,563,213,364,003,957,622,151,204,755,826,408,446,
419,128,103,842,604,810,940,821,414,569,710,694,239,032,788,641,316,021,491,
209,599,816,454,129,776,516,139,636,143,872,831,163,570,332,108,895,222,015,
863,985,216,342,715,793,911,374,185,695,126,061,317,874,714,396,646,430,400,
566,684,891,942,748,770,988,152,815,577,048,874,724,823,030,295,096,676,207,
718,374,286,417,328,787,799,727,344,382,150,200,377,098,727,331,540,915,795,
971,848,066,940,949,565,272,602,566,142,190,274,630,152,808,612,252,632,518,
896,372,925,365,703,325,707,375,434,589,986,036,149,986,247,804,169,392,329,
035,649,114,736,226,574,206,660,105,688,482,892,321,484,462,144,017,716,342,
506,199,811,311,232,087,548,025,285,261,660,057,877,888,179,470,932,985,158,
368,258,933,000,990,503,386,943,140,333,065,440,083,426,385,030,832,336,719,
280,332,991,838,059,763,061,163,142,550,461,916,306,262,179,519,746,325,982,
448,562,978,310,371,693,646,333,389,606,476,875,251,204,354,689,334,892,863,
591,941,736,881,398,239,407,914,193,423,440,493,718,688,425,811,087,374,677,
614,457,868,466,332,769,868,591,565,708,195,294,483,352,141,172,747,470,323,
049,333,371,865,159,512,094,082,765,975,635,586,872,294,444,863,264,024,567,
720,276,043,920,848,007,623,459,257,759,543,144,006,976,697,596,460,814,869,
488,581,489,783,967,708,820,600,204,199,726,322,331,424,203,922,468,335,479,
844,661,138,684,838,349,748,434,597,260,143,269,888,315,090,485,238,717,121,
943,707,201,570,471,652,712,956,588,395,544,867,356,875,134,858,235,534,318,
424,226,904,373,400,710,037,350,386,559,173,642,918,007,594,549,914,680,728,
875,004,415,511,253,659,581,112,448,493,791,903,083,929,924,181,992,779,000,
300,926,388,213,496,814,308,542,765,423,844,576,054,808,441,608,844,452,618,
041,038,597,964,589,600,083,791,098,770,745,115,718,205,441,194,555,004,696,
476,039,846,835,619,032,978,004,598,461,751,772,687,137,481,625,023,094,545,
893,628,815,480,487,659,588,712,815,371,688,283,238,139,199,275,678,092,879,
701,353,554,619,299,324,725,148,848,802,200,462,912,535,899,430,208,445,765,
609,173,701,219,361,689,468,299,836,189,794,054,934,882,393,510,216,735,349,
579,529,848,803,616,166,371,189,045,992,797,714,073,063,319,140,801,571,855,
512,110,643,822,030,064,478,427,967,879,635,383,349,397,382,291,655,974,742,
683,975,723,717,872,460,220,307,114,904,232,828,226,839,800,918,385,407,128,
485,419,616,031,489,473,342,623,633,046,149,700,233,684,069,241,442,853,121,
219,722,132,892,523,060,929,704,209,634,638,903,807,254,875,110,033,691,359,
680,495,154,491,869,426,548,719,547,572,489,745,162,044,166,889,697,509,428,
328,221,443,036,089,441,795,055,149,819,153,323,520,317,991,293,124,368,683,
985,339,967,478,405,641,602,417,834,317,582,584,083,898,768,696,047,755,594,
183,867,171,314,278,489,370,718,981,316,015,400,787,178,751,643,701,356,593,
289,917,889,268,305,626,803,962,343,462,684,109,573,951,084,453,483,881,162,
714,248,784,899,996,521,330,905,801,238,762,683,518,748,955,335,118,870,232,
790,884,177,192,804,239,025,644,331,223,155,040,260,549,056,125,861,420,617,
945,881,340,840,917,840,043,007,651,352,453,126,537,150,797,088,931,817,932,
721,013,028,722,968,340,895,829,357,034,477,669,253,160,642,989,979,969,428,
334,950,427,333,298,344,864,416,024,604,355,956,431,137,218,524,628,749,305,
771,189,698,048,478,162,907,955,406,310,815,698,531,386,904,742,029,235,324,
687,678,168,012,358,788,401,365,671,742,158,983,424,471,789,468,742,457,202,
920,946,248,307,212,059,700,920,017,023,885,556,883,846,693,307,122,727,202,
229,358,557,839,166,095,441,756,669,528,995,489,890,417,568,448,645,731,619,
992,810,931,430,268,454,659,419,785,815,474,435,089,491,930,538,951,771,836,
994,653,791,773,340,506,850,967,724,995,774,913,329,619,485,082,912,154,437,
604,542,482,525,868,719,520,213,654,064,488,098,658,375,489,954,041,917,404,
182,355,938,551,365,366,846,657,366,737,083,807,377,268,569,086,845,605,006,
385,373,789,291,197,941,916,826,365,041,426,144,573,887,854,647,656,677,382,
808,759,276,989,744,999,684,879,200,518,655,403,716,890,030,470,581,416,886,
009,008,269,810,165,998,750,581,936,989,244,977,709,126,141,393,217,694,412,
715,335,989,294,650,257,595,075,876,892,636,991,651,437,071,543,480,168,723,
060,356,292,642,376,530,117,049,315,070,808,917,589,546,530,628,690,629,974,
359,876,011,852,558,333,091,631,781,901,952,596,753,347,423,402,904,842,082,
368,168,471,219,987,423,768,993,241,143,913,993,648,889,810,667,675,079,138,
711,706,181,159,798,834,978,647,007,141,401,829,037,887,663,661,115,384,289,
178,329,454,533,797,368,590,023,252,600,444,155,186,348,533,304,286,690,691,
869,751,393,771,250,654,004,970,185,054,927,454,674,251,723,105,837,464,644,
683,303,786,462,702,663,908,280,680,462,315,880,484,464,144,980,166,118,576,
366,975,306,827,158,612,154,882,792,775,064,323,903,634,219,501,484,196,767,
569,832,232,026,653,135,947,208,758,681,018,345,328,240,663,412,733,441,868,
694,161,803,352,830,657,710,441,041,511,648,648,144,045,969,245,502,004,953,
069,219,823,812,269,238,632,536,607,393,237,096,158,537,603,788,867,195,421,
797,880,106,825,060,189,472,871,471,073,816,043,891,213,757,545,601,637,395,
606,686,854,462,419,220,436,034,408,483,500,608,801,645,556,697,891,062,864,
761,472,488,241,544,417,561,421,291,160,697,125,301,313,281,077,862,691,083,
753,710,999,319,784,402,080,598,417,796,254,199,307,491,658,747,889,640,118,
098,545,733,362,463,822,442,880,615,811,675,195,778,918,002,046,305,289,162,
717,198,128,028,797,393,842,167,919,237,216,462,225,667,845,995,434,757,499,
416,281,845,876,950,126,790,166,908,431,091,999,375,761,127,109,435,010,076,
859,227,557,826,033,589,976,037,224,834,292,607,408,759,860,770,069,249,552,
956,594,427,131,708,934,433,996,140,786,825,933,446,267,626,757,159,077,540,
051,868,454,098,693,538,528,139,408,551,265,515,227,544,463,918,621,207,785,
557,436,411,697,919,657,499,268,709,082,289,930,182,292,415,644,004,707,963,
320,041,961,794,958,400,207,997,314,659,276,032,507,872,508,949,531,291,366,
741,534,293,105,865,704,208,904,192,733,101,736,017,957,555,242,143,523,328,
311,806,508,798,022,086,074,076,050,337,579,979,575,508,613,920,453,822,387,
081,741,846,930,787,835,820,130,689,214,652,384,726,876,131,683,655,056,465,
841,099,043,136,641,749,414,561,644,124,616,675,093,725,612,996,609,567,884,
582,518,166,399,920,923,879,401,482,846,945,415,426,880,519,772,433,530,365,
422,924,126,237,491,199,390,613,571,761,476,296,160,549,133,316,043,146,627,
066,025,037,369,501,849,052,628,371,923,373,495,485,699,604,606,633,115,697,
127,916,962,722,412,221,983,727,749,829,377,664,246,374,626,260,530,982,760,
659,604,194,304,721,276,019,202,707,328,816,566,649,840,520,386,073,676,151,
880,484,931,233,427,535,095,115,221,600,038,723,197,502,051,314,304,476,210,
557,627,761,698,877,136,979,478,718,650,073,840,242,298,302,355,056,486,027,
355,637,725,998,714,497,190,800,537,408,092,764,577,777,015,667,172,188,848,
225,421,818,609,122,685,600,174,008,694,535,442,453,756,236,907,636,874,309,
059,451,311,627,196,240,513,135,227,398,625,540,360,322,603,177,575,524,242,
133,578,301,234,633,130,235,355,661,877,800,585,336,309,890,690,351,647,961,
583,088,232,159,947,310,258,632,204,478,136,016,667,871,973,389,994,925,767,
685,039,860,181,235,064,345,276,065,275,867,615,879,839,742,656,416,990,056,
648,111,564,120,763,006,158,016,459,964,315,153,602,672,909,522,020,664,413,
080,189,322,016,439,046,641,573,820,457,385,081,578,708,071,809,380,492,450,
948,820,986,079,721,194,366,903,757,305,156,200,174,233,903,588,770,508,906,
490,321,897,106,688,434,090,230,911,370,833,110,989,888,833,252,449,110,096,
338,008,752,445,224,197,520,293,162,744,522,667,940,519,161,803,675,033,728,
398,564,963,241,758,433,431,181,271,883,942,791,754,188,205,035,377,456,788,
761,661,769,779,444,609,035,773,922,078,669,756,425,640,998,021,757,149,800,
167,359,013,558,281,069,453,273,048,957,623,748,933,480,007,490,142,092,622,
025,688,724,243,030,187,527,870,199,678,129,526,260,783,137,901,635,458,931,
115,072,848,268,630,368,275,887,456,050,345,939,354,615,834,193,875,032,473,
183,787,766,836,526,913,054,721,110,931,699,873,831,070,803,865,137,578,310,
683,522,482,118,179,649,543,154,519,920,997,088,939,569,685,875,511,333,721,
550,785,600,438,753,440,301,624,971,552,148,631,725,335,253,219,390,940,774,
511,171,794,999,030,743,758,831,499,762,389,914,161,489,155,923,823,833,082,
598,412,671,064,437,580,846,378,656,747,053,741,677,617,997,007,766,173,526,
319,753,827,448,464,493,799,144,719,774,376,493,532,382,949,427,231,809,713,
440,730,798,751,142,532,960,899,232,404,025,690,652,538,057,821,994,352,328,
062,668,334,546,142,048,289,858,179,034,404,137,119,991,163,418,424,421,261,
185,199,317,802,542,081,028,931,877,813,523,590,150,364,244,530,920,404,646,
807,590,184,977,636,789,183,775,508,357,352,640,149,524,187,078,958,685,679,
699,734,859,524,929,125,775,683,711,150,861,895,904,344,464,727,655,334,608,
588,063,578,233,252,406,403,905,734,008,972,968,264,553,385,667,113,366,254,
081,522,840,579,173,314,286,522,780,345,959,928,528,097,147,217,431,289,627,
951,733,089,776,670,178,999,455,165,569,601,010,042,590,171,729,007,178,120,
477,982,282,617,532,984,644,990,882,116,126,863,358,263,929,450,313,733,803,
462,840,858,509,810,197,083,402,025,453,878,551,625,781,935,760,171,056,519,
669,222,286,069,459,771,206,245,726,424,611,285,916,978,517,589,896,649,397,
272,908,742,452,141,870,170,692,119,077,349,587,001,488,895,778,763,638,259,
494,282,408,337,108,237,175,916,149,612,103,591,965,920,507,039,063,227,266,
805,283,246,421,768,014,526,679,373,724,751,177,759,262,023,960,776,016,768,
523,252,722,926,344,456,460,450,459,226,998,865,962,967,719,530,117,957,332,
053,369,960,276,111,006,988,388,625,334,098,588,294,123,862,835,645,516,381,
853,878,803,822,344,221,828,284,422,926,959,438,282,126,261,550,524,102,492,
434,654,145,885,552,442,459,770,803,527,092,030,732,261,646,722,908,820,553,
420,448,121,932,597,138,273,694,759,281,496,680,249,924,565,543,724,770,791,
159,145,240,369,287,267,124,018,414,505,750,826,940,890,268,291,093,459,970,
557,445,038,947,780,532,086,198,493,199,160,499,259,019,828,078,765,453,400,
872,870,318,748,322,001,209,811,375,786,357,268,336,535,844,986,031,670,525,
047,341,815,070,640,476,187,102,794,105,981,095,274,658,649,646,411,405,754,
657,147,111,499,362,671,622,487,355,098,185,839,554,782,017,104,956,501,507,
291,973,377,818,271,268,755,854,006,349,479,280,413,839,895,255,465,749,266,
391,077,784,215,771,271,639,696,597,175,993,141,547,158,853,752,872,753,050,
043,680,562,389,946,668,122,747,797,179,275,546,391,751,189,317,704,922,005,
592,302,803,284,214,340,884,164,870,416,915,195,181,416,826,099,994,659,298,
919,862,668,117,853,876,219,133,481,630,062,832,302,282,258,468,543,481,517,
908,123,895,196,215,233,173,423,414,755,226,945,660,857,542,939,431,110,416,
392,341,411,536,180,594,457,283,039,066,373,518,640,279,961,238,421,795,653,
378,143,440,354,355,882,478,830,857,650,966,001,234,251,279,602,357,827,929,
654,104,737,162,508,148,059,973,942,872,250,724,933,779,202,561,422,915,691,
944,950,676,325,423,276,922,644,373,568,699,959,536,246,363,875,706,222,488,
706,609,067,570,924,481,982,377,865,986,981,827,023,422,756,364,037,178,160,
674,766,842,012,296,090,929,100,614,998,612,962,149,307,236,213,953,475,474,
995,416,269,668,727,451,179,536,911,974,339,553,862,319,138,666,635,393,035,
558,750,589,555,614,456,927,585,847,795,573,150,924,254,302,273,815,774,990,
132,085,649,225,258,687,661,223,098,629,774,885,198,862,948,929,868,253,341,
232,777,494,399,049,842,040,833,702,416,834,224,331,951,652,184,892,182,966,
181,601,537,447,089,771,371,266,709,161,979,382,126,182,744,896,659,548,553,
709,818,564,949,724,282,177,503,294,889,507,337,757,233,503,193,962,651,584,
820,681,610,925,443,428,812,741,453,979,108,623,899,455,173,136,519,444,702,
435,936,166,655,658,841,658,836,057,983,386,030,185,529,447,049,508,758,748,
848,786,092,438,734,806,560,038,919,786,272,836,635,283,958,381,716,454,287,
545,438,505,757,884,371,888,086,142,809,138,427,125,437,285,195,861,503,008,
108,291,048,974,251,336,938,049,172,020,398,383,857,598,173,922,503,383,086,
043,189,104,810,685,538,674,704,403,644,788,631,929,157,254,999,889,152,709,
226,384,862,863,501,014,457,918,231,254,260,771,599,195,901,484,237,427,672,
900,016,519,085,039,657,171,691,048,850,169,367,625,484,421,610,225,818,179,
106,952,429,017,901,371,061,134,883,708,897,982,666,257,981,679,825,861,773,
526,151,147,991,995,721,011,193,372,567,572,202,450,585,960,509,496,586,594,
877,385,443,032,129,402,106,858,242,093,858,821,473,206,985,617,016,997,116,
742,679,459,920,577,497,724,678,839,184,082,935,846,171,499,098,915,631,229,
569,865,951,337,647,183,571,234,120,895,390,920,345,611,360,073,624,774,426,
323,743,021,963,375,992,162,331,181,098,337,736,886,427,709,998,058,329,925,
918,757,517,698,039,284,439,827,370,737,439,732,606,198,719,053,634,589,294,
537,944,486,509,309,774,405,312,337,067,748,045,134,362,764,143,386,999,002,
219,043,780,588,899,299,141,367,644,572,221,195,031,597,416,129,527,608,335,
263,665,544,959,955,695,953,857,969,428,721,375,287,353,484,558,296,663,042,
194,557,715,709,583,144,758,190,043,824,939,378,899,789,771,536,857,717,111,
026,460,057,638,546,503,009,076,483,305,074,150,361,640,746,474,976,794,773,
293,266,057,611,126,240,129,779,190,088,475,102,701,119,731,038,611,934,239,
977,065,161,374,325,149,942,147,413,849,525,043,457,207,287,866,850,326,055,
911,221,635,956,550,845,220,545,242,645,307,175,825,468,403,323,919,478,732,
941,315,034,873,194,498,565,909,489,751,904,040,109,078,036,570,641,094,471,
970,827,619,586,222,356,052,844,727,726,975,715,350,758,102,378,211,297,242,
161,875,929,214,337,293,504,303,562,944,445,911,624,781,926,717,217,743,424,
899,137,035,231,822,768,815,811,557,716,971,654,486,587,001,023,943,357,694,
394,064,146,052,140,048,581,253,932,122,730,225,177,275,215,368,547,564,680,
150,369,395,368,901,690,834,030,764,215,018,816,330,688,797,240,611,420,204,
040,569,173,213,147,835,313,877,897,064,074,786,371,244,850,362,782,660,226,
346,187,612,242,029,958,761,703,116,161,597,106,647,318,912,859,503,115,269,
627,249,706,319,559,926,542,774,431,370,582,274,206,660,487,887,748,014,582,
026,336,023,426,925,256,859,708,519,545,331,847,737,544,420,766,470,014,336,
154,293,356,105,832,218,511,980,453,812,764,432,757,815,805,063,686,153,077,
594,388,347,461,814,893,365,875,071,701,898,063,477,311,614,015,297,616,532,
900,749,392,806,467,605,107,655,873,954,682,696,755,096,008,004,804,100,012,
726,020,883,549,674,293,604,454,407,078,923,964,908,111,240,955,742,049,905,
165,791,757,359,780,903,706,393,757,402,804,991,902,741,498,414,748,254,379,
378,141,974,821,812,995,050,074,015,871,867,890,021,953,391,261,290,703,168,
771,131,384,996,383,332,234,065,594,094,990,524,895,742,953,204,105,101,186,
134,889,591,338,811,677,871,553,711,781,231,319,312,498,998,016,935,381,385,
117,720,934,988,786,788,969,438,909,703,158,247,204,090,758,190,623,147,355,
799,944,393,362,271,101,789,468,672,519,482,048,661,775,566,033,164,240,232,
488,375,630,564,583,231,902,562,389,846,351,560,521,298,551,090,009,882,712,
035,102,177,588,992,979,566,748,509,264,112,000,639,483,197,546,293,961,207,
510,257,075,838,617,659,609,476,542,343,519,943,534,540,941,546,014,137,869,
187,777,840,437,707,937,430,547,940,839,233,536,920,160,769,194,081,236,823,
385,504,326,967,145,881,053,947,830,184,469,385,972,186,083,830,456,244,123,
111,514,324,440,248,541,272,486,786,141,946,182,521,496,882,767,174,047,774,
426,480,262,932,908,209,031,091,841,980,877,774,775,384,774,519,483,570,997,
671,823,258,480,206,097,223,681,581,493,626,372,334,927,694,689,518,916,815,
903,979,137,194,997,065,340,056,649,874,187,092,284,302,411,046,441,329,534,
905,530,756,637,728,075,213,101,561,218,178,802,114,342,747,153,628,188,479,
873,819,226,765,246,049,534,054,005,314,621,434,917,552,187,746,999,096,300,
289,193,525,051,715,149,180,488,312,757,973,786,414,825,085,862,140,444,221,
276,207,713,469,200,314,432,475,915,001,542,224,414,269,625,626,334,770,652,
747,087,954,116,654,322,580,534,865,604,922,716,156,249,255,000,306,757,155,
596,224,413,414,954,947,143,201,077,351,189,164,206,703,502,542,612,784,949,
328,020,083,259,559,575,394,433,286,490,628,058,618,842,870,717,941,942,694,
389,529,747,250,311,743,834,659,638,038,706,228,841,773,847,134,538,966,114,
774,468,832,750,454,691,988,869,156,919,783,206,238,565,630,153,234,747,355,
042,707,167,516,054,186,599,938,239,864,327,262,106,648,402,150,628,670,820,
525,329,628,936,820,486,252,119,662,802,681,213,231,331,202,061,848,038,487,
336,018,678,108,212,225,292,991,125,207,157,954,518,453,451,329,138,440,904,
446,195,861,531,728,539,751,731,111,444,375,701,178,772,814,797,568,214,207,
676,173,007,433,979,669,924,617,107,838,715,783,183,496,017,247,026,930,741,
707,374,627,446,634,731,148,186,226,407,733,241,462,207,373,313,201,257,968,
328,871,620,394,240,660,107,339,965,205,787,845,050,754,789,554,836,934,183,
301,139,115,478,962,730,691,847,166,397,410,062,884,979,014,835,074,434,768,
222,248,545,367,309,074,256,165,324,261,278,711,698,234,337,307,880,352,400,
891,772,355,908,837,238,358,181,293,272,131,741,298,140,127,376,394,231,977,
278,046,528,217,568,644,871,980,647,798,437,919,935,907,472,898,840,025,442,
965,261,521,115,127,813,859,409,003,968,102,755,918,184,329,525,412,810,050,
580,353,339,234,039,916,427,637,150,493,631,398,801,553,198,024,833,196,296,
203,959,173,665,673,978,991,803,194,663,575,172,530,595,628,767,490,436,875,
360,131,206,069,092,538,929,761,344,513,937,966,896,543,907,095,597,862,373,
303,525,568,417,347,604,179,032,155,063,769,626,828,252,303,761,100,812,433,
388,702,068,464,035,620,208,955,741,418,111,709,580,048,147,142,461,709,989,
027,083,020,892,704,262,644,574,104,205,173,738,309,487,559,996,798,695,540,
120,411,806,537,194,152,513,415,305,062,870,479,427,848,544,382,758,692,546,
303,303,128,743,375,960,498,265,480,535,576,464,447,454,744,836,455,373,018,
759,077,185,352,283,243,444,088,679,815,153,236,421,439,949,919,138,402,061,
534,012,217,624,604,073,844,141,758,665,518,430,530,300,807,730,708,656,621,
549,261,631,716,469,240,088,628,385,479,707,522,324,909,641,989,655,374,962,
721,251,110,884,437,422,419,378,132,433,824,513,366,556,345,365,697,147,914,
326,636,825,325,480,383,276,499,387,400,880,126,104,227,632,713,230,833,790,
341,472,639,762,076,032,425,149,677,012,948,216,192,165,639,657,306,334,824,
798,220,626,927,277,013,640,980,820,117,216,417,712,083,354,984,595,219,331,
775,323,151,819,826,194,115,988,049,213,249,203,437,483,288,866,971,606,770,
012,682,754,888,168,268,947,243,361,581,621,040,874,785,720,698,451,641,910,
042,192,224,332,415,268,616,748,250,470,187,035,092,004,570,872,700,613,303,
877,487,208,487,518,292,425,777,024,019,627,597,647,529,215,671,351,021,438,
155,595,893,915,730,747,102,238,307,954,797,581,441,128,605,567,636,101,932,
770,027,723,920,854,389,723,618,559,706,798,627,644,690,731,904,287,649,203,
188,281,415,031,072,048,316,606,222,434,084,714,860,910,999,082,971,982,075,
451,112,326,655,279,107,756,609,385,481,853,412,045,791,649,132,377,171,693,
604,320,580,123,743,209,023,960,665,073,305,392,418,009,765,002,776,752,828,
596,040,941,623,228,579,993,572,122,417,327,159,516,982,778,076,547,666,968,
161,686,827,400,433,874,309,878,897,571,823,028,612,123,628,695,974,946,660,
609,555,362,869,581,071,480,297,216,589,214,945,276,713,385,293,000,583,111,
860,057,367,629,144,496,053,932,045,712,865,355,680,363,802,189,111,807,947,
594,997,203,886,927,518,908,684,422,240,762,966,566,873,543,153,521,581,608,
663,253,713,984,015,397,004,599,866,132,936,029,801,380,645,240,322,269,200,
295,377,121,676,055,969,380,542,605,780,953,730,139,335,114,909,314,232,348,
384,696,844,828,273,828,340,322,230,966,082,831,100,759,167,693,174,089,564,
171,788,791,441,796,622,815,544,957,009,772,315,210,121,859,545,435,224,256,
912,175,138,928,746,529,073,842,590,946,847,249,752,482,306,698,034,974,483,
168,295,841,159,374,991,281,452,700,757,084,767,182,035,039,545,260,344,166,
528,203,588,030,375,416,247,687,111,627,157,428,117,319,084,853,553,567,879,
833,161,079,101,580,734,044,521,534,313,149,543,107,185,200,984,025,991,051,
978,257,714,206,018,305,289,233,990,593,137,177,877,066,278,370,465,004,078,
969,028,021,442,091,664,055,734,015,949,923,282,026,322,685,293,994,829,840,
524,229,247,450,840,843,154,728,250,694,505,351,241,046,671,911,109,480,149,
524,675,089,021,189,542,195,147,850,830,648,709,651,420,782,685,060,674,236,
819,496,951,408,439,262,061,255,363,033,745,624,719,822,018,536,747,758,024,
580,291,510,627,631,202,797,812,805,830,537,685,801,819,617,807,278,186,208,
536,505,414,160,381,029,111,050,108,238,831,462,735,477,686,073,218,267,598,
050,709,883,497,014,274,228,033,370,727,124,997,108,470,111,955,096,738,908,
788,069,035,642,347,941,347,260,915,414,200,077,588,254,060,723,650,249,775,
762,303,222,474,303,366,915,224,719,362,366,755,146,220,193,790,819,044,018,
972,277,953,195,707,504,800,435,371,151,324,284,840,737,485,322,335,669,025,
144,369,990,837,889,822,845,274,777,436,133,461,850,996,206,926,097,156,851,
881,437,911,707,770,316,193,325,861,510,974,860,412,007,420,716,388,601,600,
404,878,620,572,970,090,640,864,339,463,936,742,746,703,402,445,460,359,849,
420,518,711,658,404,794,758,884,687,537,242,229,329,886,003,036,607,386,250,
878,151,961,828,812,852,477,928,292,112,534,224,007,541,329,389,830,633,806,
130,666,239,558,154,799,213,309,563,678,284,454,651,947,698,997,068,024,234,
120,781,320,711,295,803,591,125,743,188,979,344,568,413,424,533,708,185,674,
524,553,175,242,410,751,235,450,557,325,219,523,849,938,147,726,106,960,503,
922,547,759,548,390,199,178,417,523,066,117,805,349,520,162,817,849,663,260,
122,008,900,828,457,761,281,497,491,251,441,322,735,162,664,622,599,499,703,
065,774,873,528,528,593,485,247,972,689,066,162,206,687,675,893,210,384,846,
823,935,752,270,331,903,358,098,458,973,614,776,291,552,853,968,461,805,155,
095,545,398,259,193,025,493,837,755,497,080,572,197,504,233,360,056,923,341,
347,446,254,841,676,848,217,695,217,064,544,445,976,185,098,292,522,986,148,
029,364,924,875,146,958,889,897,455,240,511,913,959,196,301,921,014,824,337,
564,665,871,715,420,477,181,434,789,912,115,514,244,478,892,489,200,726,681,
081,025,209,350,418,714,583,547,686,144,651,889,077,315,458,536,436,773,998,
804,194,153,564,722,137,293,624,944,266,581,233,039,033,754,855,640,084,988,
385,478,402,114,034,903,835,792,411,545,902,045,265,793,885,188,654,359,815,
059,198,334,493,642,163,690,649,816,787,932,709,973,921,161,164,965,010,670,
694,962,920,942,182,959,436,967,761,916,910,568,886,098,106,743,763,212,502,
278,841,308,569,877,321,852,296,012,792,433,721,356,936,288,103,756,186,979,
702,747,270,883,120,968,925,492,977,789,488,795,708,362,040,799,758,645,184,
133,884,499,227,586,557,556,175,742,036,246,843,846,305,080,816,159,944,567,
675,949,982,284,897,377,525,073,811,228,856,452,768,746,831,911,347,040,471,
784,767,612,904,179,857,932,861,896,996,336,252,661,704,700,051,833,909,494,
917,884,212,359,774,295,319,367,644,205,369,487,604,129,243,823,584,979,812,
498,647,384,772,434,998,935,167,616,171,465,036,130,885,472,369,276,137,141,
236,044,098,869,894,674,270,767,697,270,647,178,889,431,658,276,023,881,133,
110,548,981,025,010,056,675,973,165,845,770,072,721,349,170,734,671,914,612,
489,225,768,521,238,512,789,820,344,229,451,973,905,291,086,689,144,600,895,
024,193,996,635,840,123,453,642,514,927,502,704,243,427,208,699,342,597,921,
277,497,946,215,649,551,403,446,019,425,509,035,258,764,974,146,908,629,136,
122,287,672,185,966,625,275,620,266,731,608,721,845,727,002,557,501,613,260,
573,762,239,247,967,545,859,566,647,403,601,478,424,950,280,089,859,490,423,
259,164,611,389,254,893,645,419,944,611,622,203,629,504,546,209,020,858,030,
519,355,829,998,731,409,308,272,519,522,073,648,172,515,110,938,277,854,629,
008,283,899,410,229,816,118,155,399,157,777,831,615,324,641,779,137,146,306,
236,310,212,041,459,031,601,205,342,876,456,825,207,462,434,261,948,897,947,
949,291,475,772,671,568,458,256,833,314,471,526,295,282,536,450,077,538,419,
649,480,285,958,544,006,428,364,088,579,578,415,396,775,759,903,794,678,931,
519,345,134,434,051,560,605,343,619,757,749,650,116,399,150,012,994,638,905,
311,865,901,142,607,390,189,637,562,316,797,457,408,713,544,479,311,932,432,
281,694,536,163,477,886,939,065,759,312,937,519,523,114,427,453,466,638,631,
468,517,934,374,491,616,340,439,123,289,645,475,358,456,066,171,221,518,500,
497,649,533,964,812,468,034,936,665,891,145,652,147,382,030,685,587,591,765,
972,133,382,972,566,923,018,181,898,729,474,611,144,329,270,172,730,482,372,
872,846,781,080,227,289,786,535,518,874,660,552,004,793,673,439,076,405,380,
269,229,171,102,447,762,387,184,670,712,134,392,556,892,779,511,197,466,539,
990,498,417,101,499,570,701,139,523,679,366,328,756,849,119,901,657,118,781,
527,761,877,421,440,995,430,450,952,465,963,021,064,826,397,243,952,190,268,
466,064,071,572,432,539,009,331,863,925,117,895,921,460,397,611,624,418,565,
728,056,692,082,459,758,886,291,565,400,501,956,548,471,488,051,856,399,075,
720,746,323,589,253,029,610,256,999,612,672,032,087,806,651,927,827,767,731,
540,699,153,977,665,829,565,034,699,384,029,694,308,905,240,088,434,080,955,
988,561,260,050,370,753,890,546,156,575,091,783,353,214,023,612,124,697,755,
138,858,191,566,473,454,488,489,273,957,240,964,420,593,667,689,693,702,031,
576,795,118,131,214,789,030,362,615,944,657,712,319,677,759,623,393,244,004,
589,129,841,694,181,155,723,441,549,964,824,654,985,589,857,682,083,368,914,
768,040,746,884,514,027,257,572,006,893,984,453,252,482,918,306,979,237,439,
010,699,483,736,429,642,810,902,278,812,325,802,114,299,461,006,053,476,275,
931,884,494,833,300,073,786,355,626,001,451,130,387,394,698,226,589,059,084,
034,279,536,684,410,110,280,257,517,235,792,419,800,374,558,349,391,028,103,
938,654,619,764,776,793,984,014,007,247,795,421,138,318,638,564,046,963,191,
216,988,071,602,916,097,708,097,560,562,306,870,917,814,914,555,065,886,081,
348,308,384,381,963,337,655,789,511,801,016,729,410,742,335,234,712,663,794,
671,447,107,186,098,215,635,611,554,941,404,358,095,072,175,121,286,678,878,
151,202,309,550,064,260,216,164,573,467,728,235,070,990,233,797,111,320,458,
999,891,840,430,389,919,106,992,873,534,298,970,061,295,853,592,511,586,139,
397,548,445,475,791,799,543,547,353,732,855,821,485,709,080,231,454,390,227,
743,884,931,297,742,004,544,188,308,680,487,006,347,243,660,355,609,358,969,
325,779,211,120,604,120,097,054,121,443,789,922,985,443,166,579,683,447,267,
776,676,182,817,435,735,672,835,706,750,248,403,677,772,786,030,835,405,994,
608,498,704,924,390,154,746,462,997,388,614,591,406,124,992,619,527,729,550,
899,894,043,667,949,427,847,824,097,673,398,841,382,182,599,636,186,582,323,
738,163,006,625,660,633,641,505,639,453,564,347,091,391,189,500,006,123,481,
589,830,746,465,492,102,494,253,142,202,029,090,637,353,524,430,695,284,521,
594,850,033,158,501,777,654,128,708,163,058,141,481,688,194,534,435,638,387,
430,061,293,875,302,406,707,332,906,613,265,226,541,487,891,496,091,128,935,
052,460,030,185,045,187,015,160,893,626,843,644,865,771,276,394,483,557,988,
519,790,029,031,212,576,206,353,802,742,836,360,840,135,242,383,509,261,466,
627,193,156,258,009,122,076,685,674,229,040,294,434,571,751,718,709,883,848,
402,177,280,320,983,102,217,845,011,149,554,814,500,920,908,259,966,232,350,
266,865,939,126,733,009,400,811,044,133,914,246,095,329,343,393,418,727,101,
538,446,608,697,796,054,207,298,393,751,985,624,043,958,423,694,387,681,574,
850,788,602,780,414,604,084,234,996,328,486,357,967,511,282,253,215,801,263,
688,436,359,020,469,631,273,827,448,730,583,266,047,189,182,828,238,630,883,
777,797,791,849,002,749,003,549,426,888,998,839,276,424,211,906,308,376,610,
124,570,478,990,022,386,705,805,634,926,570,010,459,166,251,020,961,551,445,
268,580,147,026,866,000,671,646,475,659,460,208,032,768,918,380,419,607,600,
490,915,815,649,144,282,268,940,345,419,278,256,831,068,272,827,304,358,212,
773,787,793,975,029,296,775,288,329,359,613,753,894,979,613,712,311,060,733,
302,171,489,491,165,295,676,417,479,006,935,896,168,861,348,466,208,419,130,
817,207,103,764,231,622,559,301,305,100,843,950,813,163,086,536,075,983,612,
400,245,155,436,801,895,918,832,436,810,250,519,104,962,874,640,262,680,938,
936,600,825,838,987,073,288,541,097,352,773,066,136,778,629,083,782,266,691,
093,468,050,540,454,247,473,294,543,204,549,229,500,895,322,279,757,288,907,
263,422,748,986,981,523,882,955,517,079,552,533,497,672,910,867,018,692,966,
254,769,262,099,257,107,488,322,942,048,803,295,639,782,964,394,451,298,996,
267,196,848,268,259,871,826,146,035,482,124,963,193,191,288,469,908,054,943,
593,629,415,111,368,921,556,567,350,096,254,269,945,234,150,528,983,247,139,
636,196,308,475,215,612,639,830,253,846,821,116,723,098,739,218,672,665,707,
725,824,897,758,934,719,298,301,660,431,041,983,968,358,745,227,225,592,197,
908,670,334,890,884,153,540,439,389,999,112,883,112,942,638,509,999,157,151,
489,434,014,622,235,501,204,249,506,523,620,857,633,427,303,700,385,850,378,
927,433,230,488,107,438,495,429,034,753,726,855,932,775,758,797,306,878,708,
030,747,152,871,179,460,966,587,516,526,656,806,107,090,415,495,899,221,159,
202,893,864,699,875,575,859,481,117,536,516,690,982,760,194,644,745,559,187,
063,496,007,277,310,097,811,738,768,972,008,400,356,807,967,188,490,867,233,
351,101,471,538,671,113,457,217,577,368,129,523,205,746,329,264,509,944,615,
907,549,605,071,305,876,367,633,879,502,811,238,639,180,345,154,225,983,028,
161,596,653,347,222,862,465,235,365,241,115,209,144,491,643,230,040,114,179,
254,976,797,460,639,234,144,455,574,957,922,701,160,806,530,215,479,881,842,
003,568,897,703,368,517,805,269,333,197,990,020,547,430,675,481,308,758,774,
496,510,656,943,196,000,672,509,475,070,413,722,303,679,809,880,148,332,783,
030,766,908,748,434,168,366,741,403,554,500,221,456,550,867,977,406,937,660,
720,817,376,601,862,900,298,638,332,315,628,853,961,013,560,542,724,419,670,
724,158,844,925,654,759,307,786,789,036,747,726,227,744,293,189,913,471,484,
942,949,266,985,274,311,870,202,838,076,790,038,815,063,088,306,035,602,624,
395,538,414,732,476,949,647,203,237,241,984,509,897,786,478,936,262,561,419,
765,067,216,295,973,889,275,398,157,420,327,764,366,713,954,632,576,972,614,
134,586,431,318,464,629,013,967,165,411,624,451,000,201,611,940,360,798,395,
251,092,645,908,798,792,894,626,375,050,015,152,567,280,522,180,442,581,097,
484,912,146,382,634,247,124,750,386,067,669,268,038,385,969,047,618,589,181,
522,605,334,116,160,831,578,540,479,968,480,153,918,377,521,529,714,152,802,
762,214,373,856,190,221,748,532,743,100,275,635,618,082,656,200,482,335,375,
783,750,369,382,188,945,643,897,654,533,737,734,544,774,496,122,651,038,408,
474,466,205,864,640,313,048,014,812,590,410,514,575,480,084,642,358,990,893,
001,960,255,102,340,360,773,513,410,171,215,927,636,958,700,905,795,226,570,
339,929,109,658,075,743,795,127,971,946,837,767,418,875,630,241,973,596,836,
452,341,650,937,948,578,333,228,539,329,672,188,336,631,909,510,346,020,116,
610,195,148,477,609,952,873,848,298,834,665,491,414,802,523,848,034,253,928,
439,436,500,449,062,509,958,632,786,918,431,371,443,685,979,693,196,348,397,
371,704,741,308,817,515,322,009,016,239,430,808,520,794,221,842,352,296,686,
085,513,336,949,086,742,612,681,419,974,365,076,652,882,090,113,675,623,982,
257,551,247,267,089,022,011,050,816,059,220,132,691,426,625,910,439,193,039,
021,974,850,995,705,875,001,688,581,334,916,503,946,711,190,078,230,566,021,
843,918,227,859,115,880,236,716,152,401,888,459,464,858,382,663,085,442,895,
211,402,069,788,113,571,012,162,384,440,600,802,940,129,015,976,710,818,259,
001,767,873,992,916,621,491,852,141,708,524,243,739,037,552,770,099,673,168,
741,020,881,877,351,352,377,118,954,795,156,448,383,085,447,956,018,629,590,
678,513,157,946,541,054,448,738,815,193,268,809,371,616,248,980,334,666,756,
671,227,624,351,963,077,779,361,969,949,739,293,565,936,527,064,341,672,597,
206,783,956,958,728,607,002,898,358,080,044,375,292,961,440,390,661,826,646,
120,555,161,309,068,016,609,838,141,571,659,925,081,832,903,709,283,778,094,
423,589,342,969,220,797,408,116,842,537,132,528,589,117,648,619,082,341,667,
938,653,839,304,081,818,832,417,502,998,861,312,050,328,932,456,443,479,478,
257,262,725,816,254,631,757,018,489,122,843,188,025,035,059,455,235,553,186,
496,396,807,420,616,444,802,341,098,618,067,664,037,639,279,122,357,299,693,
731,728,479,493,727,276,759,792,497,361,072,221,555,482,492,553,194,410,851,
728,750,916,630,405,770,106,668,755,231,602,772,873,025,259,626,357,479,586,
800,861,114,681,125,141,002,174,946,003,234,662,980,311,962,740,814,319,719,
834,119,780,377,842,148,683,075,096,702,461,708,064,815,440,239,570,948,132,
979,543,378,713,810,602,781,931,255,574,994,244,858,094,148,506,309,328,262,
248,637,829,934,950,485,760,268,871,682,549,031,713,789,370,073,907,339,525,
239,567,889,391,218,987,625,362,827,775,388,064,074,462,514,584,763,802,495,
475,888,345,391,947,010,234,679,409,173,709,466,411,592,787,667,818,545,518,
987,776,303,295,369,355,694,232,246,797,525,835,275,503,955,348,422,779,432,
826,986,536,799,170,525,494,713,878,106,595,278,177,771,966,342,432,785,596,
909,296,694,465,799,454,722,187,616,251,583,243,907,943,062,669,737,981,121,
317,498,268,302,332,975,589,186,916,317,919,903,287,081,881,654,742,490,884,
087,969,578,618,908,158,035,969,314,693,876,568,568,203,930,331,217,131,883,
759,558,482,118,914,355,193,744,178,815,076,694,996,758,402,949,092,681,755,
581,611,179,258,659,696,974,290,425,187,149,570,308,000,795,147,856,832,009,
716,683,109,796,508,250,943,487,463,949,424,458,522,136,718,518,136,313,350,
421,804,527,208,308,172,215,963,955,308,752,423,177,934,372,043,805,914,838,
420,643,152,542,730,653,718,975,439,195,567,826,866,621,585,057,429,956,273,
404,859,100,326,173,065,548,401,805,743,602,483,430,354,409,233,707,800,368,
210,189,364,145,792,751,732,838,827,986,664,992,325,732,460,833,197,228,698,
142,937,974,610,383,275,943,958,070,210,084,890,398,607,955,193,313,714,802,
287,995,629,382,420,863,922,565,586,438,493,163,621,866,054,875,405,738,413,
266,340,891,384,441,414,312,320,555,513,634,847,827,026,077,018,069,771,231,
904,362,502,958,186,133,418,652,882,628,115,749,995,387,614,604,855,211,936,
031,045,486,636,960,582,762,464,261,037,762,848,359,726,354,214,920,898,587,
145,029,523,690,862,870,774,292,041,345,121,746,363,296,087,910,214,027,662,
730,422,118,432,731,393,446,571,655,691,644,942,106,227,087,298,798,256,258,
232,569,514,616,855,003,389,414,257,642,259,378,442,651,723,695,089,237,461,
978,604,840,933,683,047,150,761,147,166,394,660,681,981,426,509,607,818,268,
338,640,819,945,804,803,796,364,203,761,620,979,581,687,720,234,294,260,514,
489,699,221,050,127,167,720,352,774,231,330,883,425,532,399,710,591,909,729,
338,262,391,848,947,141,611,903,350,675,437,681,820,713,527,215,037,393,813,
375,542,464,030,469,533,127,925,046,879,395,820,953,368,416,675,887,634,070,
565,118,777,971,042,678,802,827,899,035,474,928,416,733,121,663,383,021,434,
133,613,341,316,143,787,918,388,488,463,804,781,571,793,837,976,126,402,982,
325,208,040,512,189,250,071,637,677,463,304,891,083,537,208,922,771,826,364,
012,643,536,756,721,202,491,789,180,370,446,806,121,193,201,771,292,230,015,
086,887,029,024,850,858,617,537,619,869,385,829,688,272,458,100,734,354,687,
646,892,851,524,479,658,072,868,678,861,983,421,344,485,392,570,509,181,954,
038,014,527,622,739,658,167,260,555,671,925,248,896,704,410,647,164,268,355,
714,172,932,822,045,954,606,960,448,796,180,520,203,050,462,140,526,999,970,
543,198,837,373,153,446,638,130,367,027,500,324,134,884,492,262,919,750,526,
444,732,337,045,218,083,215,634,647,613,845,802,199,000,035,339,704,433,890,
454,777,585,841,122,427,402,830,935,044,227,970,049,591,652,116,012,768,319,
251,412,276,282,135,681,240,500,476,201,288,706,296,038,249,190,979,061,610,
040,463,892,404,471,714,581,591,127,921,924,561,923,735,883,675,639,489,552,
918,922,544,390,869,069,461,711,974,496,740,771,512,575,429,125,733,654,367,
499,383,113,210,103,934,460,265,539,324,364,324,299,926,872,416,870,608,367,
502,524,448,859,873,787,461,390,821,358,437,597,179,848,362,337,325,209,822,
349,725,707,537,053,652,300,281,820,638,767,645,480,409,051,991,461,529,779,
963,783,756,745,743,503,217,552,875,335,813,921,147,924,934,146,459,894,771,
588,655,728,339,726,514,445,688,529,949,728,084,415,831,473,589,238,674,033,
395,507,604,957,638,239,603,486,813,780,928,788,529,916,405,464,778,214,211,
579,131,520,796,528,475,675,739,821,852,147,912,784,856,481,681,608,875,137,
881,347,111,350,791,482,556,429,801,234,456,130,198,757,385,214,553,736,843,
172,269,295,400,684,943,314,201,392,219,537,493,091,440,262,679,205,919,385,
813,727,959,362,437,542,663,452,140,000,508,797,772,531,344,438,891,149,253,
515,075,044,572,892,169,786,041,352,426,509,646,510,706,370,383,183,200,787,
663,337,942,334,948,074,364,232,580,284,389,237,294,758,004,153,397,704,494,
496,536,145,563,054,003,378,686,960,073,211,922,261,855,662,744,826,914,637,
089,335,829,370,723,662,721,058,624,813,163,571,054,218,293,108,751,737,311,
973,345,200,265,036,695,048,932,500,452,568,569,952,218,066,606,398,177,101,
394,620,210,773,418,777,347,980,634,343,559,293,230,930,019,819,280,870,776,
325,398,453,999,749,673,737,706,098,725,362,899,527,475,197,361,683,103,391,
688,081,257,920,696,413,902,825,413,598,614,281,809,562,777,971,166,409,277,
112,832,312,696,671,712,986,263,684,231,701,820,160,438,419,057,395,914,143,
535,406,218,384,447,745,080,043,046,610,888,221,758,919,212,058,953,388,082,
795,884,224,963,232,628,109,074,839,805,472,671,250,206,225,967,180,925,534,
393,267,726,138,791,474,093,190,180,756,745,625,564,643,160,623,432,842,881,
754,452,590,800,342,968,265,454,113,118,751,945,858,137,606,553,577,606,506,
690,851,645,438,059,567,002,530,810,847,179,120,341,187,648,628,260,320,931,
334,117,214,307,027,772,322,362,848,827,701,538,553,154,267,215,801,565,167,
361,895,837,330,528,649,849,425,211,606,615,528,371,946,908,813,475,954,791,
396,326,389,957,894,117,985,552,859,689,002,793,112,127,648,701,231,077,567,
423,542,116,855,351,700,942,204,663,315,946,404,316,956,993,210,698,728,131,
725,531,813,313,962,839,178,592,493,448,111,537,131,351,807,287,232,289,628,
598,194,841,465,198,606,064,422,816,782,150,160,598,919,209,543,330,536,871,
539,053,847,960,110,656,962,395,882,889,938,713,342,887,033,603,864,438,967,
120,595,545,184,456,467,094,620,459,363,745,550,331,684,617,651,032,318,224,
275,167,699,608,618,140,545,965,162,255,719,926,597,582,935,591,805,212,212,
799,273,711,673,196,925,838,889,265,555,719,393,982,912,487,502,981,254,920,
657,280,096,232,475,192,001,849,038,335,003,478,947,384,883,906,879,297,642,
630,641,020,745,499,542,068,452,350,601,005,633,792,377,820,319,410,528,448,
440,493,674,585,210,425,129,044,990,181,330,340,198,527,691,958,808,817,359,
646,632,324,616,978,936,400,826,568,783,036,731,450,373,650,831,395,233,610,
100,613,639,124,857,165,842,587,167,333,239,857,132,447,716,996,751,567,403,
278,515,116,051,290,610,438,953,819,797,538,145,029,448,953,814,972,404,344,
290,307,471,208,817,526,289,924,929,699,042,268,386,372,726,314,347,674,577,
886,962,336,119,461,556,239,880,394,816,289,783,827,525,480,519,308,733,759,
664,423,258,075,393,654,179,647,764,112,291,623,217,096,681,537,956,438,853,
888,844,781,694,009,285,746,609,380,190,709,845,863,502,623,651,826,527,542,
645,308,720,156,254,999,935,901,545,811,071,753,781,655,054,002,816,282,505,
528,118,154,628,955,970,865,113,996,409,434,670,523,005,173,753,636,933,101,
251,497,568,559,789,954,109,168,859,497,868,056,295,323,913,000,322,467,093,
172,811,147,009,108,577,689,318,337,380,825,878,992,123,969,307,623,943,220,
783,307,414,044,617,545,846,951,137,177,991,042,511,784,017,409,210,896,981,
040,869,772,226,470,744,206,404,348,708,025,463,748,044,660,533,185,001,623,
986,491,848,144,468,740,550,094,190,634,447,691,901,798,204,026,122,202,285,
329,479,857,500,112,389,708,782,907,307,338,962,492,192,117,986,047,303,835,
381,565,307,294,093,012,562,683,586,777,801,872,953,613,749,642,506,213,807,
133,865,711,248,748,286,427,711,268,796,611,833,690,223,867,581,843,269,690,
928,297,539,847,347,291,012,103,297,269,200,757,670,000,385,338,955,585,920,
743,770,961,010,064,805,398,211,588,865,220,552,954,792,609,006,447,626,163,
037,536,483,662,284,640,720,290,235,124,763,366,135,801,233,881,616,088,755,
614,954,361,288,313,352,126,869,408,290,832,212,420,764,976,544,081,040,780,
711,014,843,233,447,626,511,305,502,004,033,864,075,915,549,154,788,516,281,
014,791,673,445,139,895,142,754,910,493,612,700,216,802,219,550,069,815,378,
842,170,644,471,896,913,012,007,103,321,088,957,593,479,125,898,328,980,674,
680,244,823,811,232,083,613,882,453,637,855,004,995,207,937,926,698,393,947,
820,232,202,980,626,416,827,972,851,406,218,706,920,337,932,668,239,376,810,
481,305,543,901,368,612,807,418,269,370,804,007,407,078,156,966,551,212,147,
579,756,359,652,466,692,916,234,943,057,259,766,648,484,122,051,194,573,656,
151,261,176,653,665,037,984,237,376,063,147,156,833,410,157,430,682,420,647,
383,503,632,427,795,523,100,335,969,618,188,306,213,133,904,805,821,451,464,
420,517,609,800,019,860,589,701,079,496,774,974,407,901,908,528,715,793,952,
137,136,480,673,729,682,785,496,157,442,109,089,581,731,765,937,598,075,494,
019,149,454,314,437,484,038,313,338,705,210,567,191,580,624,733,107,720,401,
989,306,853,653,725,662,354,147,842,929,597,864,155,512,806,976,578,002,171,
999,946,786,525,476,027,031,120,276,895,890,023,415,216,289,052,771,332,541,
672,375,464,405,693,213,750,179,250,444,385,309,967,867,947,082,775,399,631,
233,830,959,127,412,514,946,866,967,348,392,008,661,553,759,927,339,317,783,
819,712,841,719,626,116,820,012,253,758,438,654,787,334,800,965,890,503,140,
232,211,844,820,838,581,669,187,975,890,976,633,656,967,060,173,794,302,050,
129,017,796,914,301,308,027,834,015,345,639,383,724,884,132,818,759,923,848,
047,794,484,331,898,851,010,156,832,292,295,012,166,287,213,573,069,179,539,
477,596,986,291,130,793,011,360,578,434,664,358,710,285,748,860,491,119,077,
361,910,065,494,571,371,335,817,346,442,973,769,743,291,773,750,287,383,609,
649,446,066,121,471,432,836,769,927,990,259,278,720,160,027,151,099,798,064,
675,520,916,802,467,307,877,209,361,990,747,282,865,527,470,511,324,748,057,
134,428,332,046,022,832,945,733,410,396,918,039,860,451,576,738,065,546,236,
254,622,420,378,564,593,608,901,686,602,984,371,693,216,058,300,207,202,624,
548,774,362,471,651,298,890,843,907,201,777,802,574,964,947,128,452,956,342,
850,604,874,914,773,504,549,327,298,196,455,278,538,143,584,941,555,634,913,
799,789,922,191,292,093,941,720,408,778,506,376,699,345,527,099,027,752,978,
266,270,922,301,972,008,447,253,947,775,965,466,674,429,292,695,572,700,977,
826,222,020,072,240,380,911,791,964,258,854,133,503,336,356,004,588,139,815,
225,816,640,432,926,532,974,244,862,478,480,340,415,260,975,943,627,945,875,
353,060,933,301,430,452,395,801,074,605,392,588,408,032,198,538,081,633,502,
285,336,635,522,457,730,434,418,148,981,535,813,560,077,614,207,227,668,828,
771,921,704,916,718,093,318,681,679,923,608,520,054,448,930,474,235,537,891,
462,899,400,616,524,500,992,045,901,916,855,439,411,522,165,547,758,012,501,
291,649,777,880,280,635,353,652,890,571,469,246,309,760,359,425,364,414,508,
925,410,423,360,651,455,830,437,147,079,920,721,336,450,806,484,377,546,344,
988,110,581,828,851,536,760,728,260,303,454,943,276,873,873,659,590,916,393,
834,250,061,756,910,406,232,134,436,269,961,653,969,691,939,321,742,648,368,
711,278,758,716,249,018,344,084,522,274,467,481,693,316,769,146,801,283,708,
825,376,626,404,226,707,863,239,805,183,186,597,103,575,423,562,354,471,887,
202,193,505,243,893,523,947,421,107,077,428,996,539,046,685,913,235,210,864,
697,334,897,311,007,827,922,255,263,963,800,896,445,609,388,624,310,978,513,
166,709,302,338,290,799,343,442,494,577,962,201,060,805,383,128,630,885,449,
559,398,961,904,139,040,831,145,856,436,413,062,484,511,120,714,672,047,700,
064,580,951,744,177,107,286,692,499,651,335,732,319,406,232,720,966,296,746,
827,127,194,354,161,521,750,244,124,145,672,113,594,668,076,831,972,318,172,
372,696,483,342,910,670,536,013,533,771,782,472,517,684,665,633,658,079,037,
173,417,660,432,912,000,979,031,028,386,412,128,586,532,438,070,049,078,071,
044,757,342,410,936,837,736,673,245,299,158,402,503,951,594,227,924,677,728,
140,158,935,234,536,322,802,706,936,303,722,536,731,310,820,896,827,329,822,
416,036,653,316,225,215,935,584,132,511,774,858,927,353,938,660,781,091,832,
027,996,469,206,850,325,835,239,717,400,934,880,468,355,148,050,638,583,423,
113,848,341,364,446,257,072,796,648,549,831,310,432,755,424,790,357,649,328,
019,623,917,444,841,657,605,718,652,814,563,296,690,933,354,050,414,853,158,
107,204,062,867,663,594,026,156,107,205,226,967,119,736,183,410,938,396,178,
465,989,592,236,015,325,411,771,601,540,219,060,673,723,674,978,854,559,965,
850,206,283,950,586,723,782,854,761,871,873,966,764,803,931,071,401,034,058,
903,150,565,898,379,488,815,419,607,269,687,732,476,430,802,377,339,425,890,
769,029,780,124,774,949,892,269,174,761,679,029,728,257,126,358,923,176,345,
095,281,890,209,175,694,448,650,910,250,707,113,909,551,477,347,500,913,973,
078,774,753,130,602,761,552,312,916,471,450,906,806,944,830,074,731,815,936,
279,024,650,800,665,535,666,933,016,974,791,976,704,497,411,714,379,732,775,
210,430,064,885,246,496,352,968,138,997,870,523,820,799,133,245,026,132,284,
057,976,373,667,074,755,122,288,445,197,635,695,238,888,007,804,169,515,718,
528,682,524,082,839,078,355,484,266,772,443,146,010,966,021,789,835,500,712,
927,145,819,887,911,798,656,307,574,033,214,370,005,303,176,812,917,342,981,
193,308,446,069,169,584,830,185,984,086,580,247,780,374,521,792,467,187,833,
141,757,907,751,647,821,775,982,556,956,107,398,675,652,468,819,824,419,065,
421,383,426,450,586,474,259,254,447,727,501,475,749,660,375,449,606,374,187,
981,603,320,825,670,648,708,014,311,880,932,835,576,147,670,167,415,942,605,
469,490,757,029,996,649,566,222,511,930,817,169,446,898,009,922,429,235,284,
197,023,066,933,228,487,411,249,140,245,450,484,105,148,751,568,282,703,980,
246,656,350,623,061,566,940,821,626,882,739,852,810,847,733,716,558,816,034,
089,225,633,804,951,156,495,848,235,990,242,241,237,219,026,809,730,344,574,
675,009,600,779,437,147,040,577,031,933,721,387,723,328,529,294,453,904,647,
674,236,604,342,242,489,690,708,059,395,217,859,937,021,780,046,874,051,930,
404,831,703,136,966,688,661,152,055,017,605,609,570,334,805,097,107,212,950,
597,612,865,884,947,402,188,990,521,821,227,000,444,289,314,016,146,092,263,
313,755,232,798,406,913,438,982,277,112,264,645,826,039,734,458,236,970,829,
782,185,638,983,354,606,717,609,717,757,605,063,858,082,595,963,495,948,504,
889,166,188,694,392,515,263,400,998,279,311,991,021,169,364,698,575,444,766,
481,412,899,932,787,448,545,623,383,139,907,992,929,374,150,074,700,807,642,
083,537,808,474,222,109,081,575,467,798,749,104,515,197,566,170,230,384,113,
871,670,220,226,207,288,814,778,980,192,935,649,569,410,725,480,871,895,200,
563,214,037,995,142,560,322,878,798,815,212,136,277,811,211,211,185,017,665,
358,182,597,865,477,032,570,744,108,616,716,177,965,305,203,565,234,263,742,
822,742,508,749,907,536,836,672,925,962,914,545,605,810,557,477,086,071,102,
107,264,359,406,999,482,488,933,797,232,638,687,151,380,686,536,146,023,218,
740,238,255,318,544,844,300,218,543,248,665,479,101,404,152,519,406,722,764,
284,729,573,407,444,044,849,250,944,062,383,083,985,853,798,695,203,741,879,
062,649,082,659,197,825,895,833,124,549,048,257,295,451,775,872,558,920,140,
036,930,352,309,476,364,874,998,899,400,511,145,463,345,099,741,423,866,474,
892,553,869,077,484,427,664,348,156,797,659,404,200,742,190,139,820,568,698,
535,239,833,189,945,006,381,683,698,792,053,920,535,534,021,952,045,508,000,
645,060,392,235,117,278,984,710,635,559,886,900,231,190,078,764,805,587,672,
487,713,566,657,230,314,681,807,308,503,636,397,817,660,045,857,489,027,457,
428,727,007,854,748,626,720,232,289,029,019,052,898,538,175,907,241,696,702,
776,245,597,396,579,964,186,715,435,320,412,144,783,121,155,620,192,615,715,
547,804,665,635,099,854,272,785,224,914,845,152,136,341,619,931,622,159,708,
614,603,280,770,970,685,000,883,260,652,303,957,956,636,627,929,320,683,836,
817,985,414,400,214,797,115,562,517,798,855,348,101,164,210,539,670,753,007,
891,314,597,000,015,739,262,700,152,223,580,021,182,705,173,219,729,732,012,
487,935,182,398,785,109,820,164,877,105,709,155,999,924,863,722,210,320,431,
711,426,028,115,458,795,876,379,858,202,873,632,880,197,060,010,965,860,358,
334,840,110,239,642,573,537,906,790,431,900,511,060,428,082,586,588,336,652,
617,009,299,685,638,781,861,911,010,202,261,398,053,686,672,873,022,011,907,
401,122,530,593,495,533,027,275,421,163,246,682,872,685,787,406,823,924,015,
411,119,969,671,918,283,844,191,538,207,978,433,167,113,227,514,280,578,319,
382,025,083,883,664,068,105,330,580,603,163,776,589,949,528,116,702,264,735,
676,608,611,383,189,735,710,828,732,904,445,550,305,973,169,529,907,864,525,
458,620,946,147,317,207,930,190,940,745,233,652,033,058,016,797,817,034,576,
710,135,196,926,775,164,227,978,822,738,871,167,834,725,816,598,120,755,913,
937,951,008,528,523,350,500,917,457,296,913,879,700,001,888,477,309,133,119,
283,716,887,538,609,887,674,472,143,107,074,659,910,927,465,229,380,963,659,
252,688,474,832,943,833,109,135,200,810,488,315,269,230,551,551,821,946,296,
693,883,021,931,670,648,586,648,693,822,158,886,121,842,960,522,145,062,438,
441,183,825,011,838,047,859,655,132,110,763,898,436,490,904,016,832,671,995,
789,967,220,903,295,245,119,213,496,960,490,672,485,208,928,675,145,984,388,
007,817,426,004,309,334,397,864,970,804,417,494,124,731,763,462,823,335,311,
743,680,796,344,031,805,297,831,118,611,779,870,781,833,638,211,064,868,393,
324,452,305,291,616,771,048,488,696,063,404,873,423,296,309,312,248,376,066,
487,994,198,265,375,240,957,716,105,912,452,990,151,220,060,229,305,896,655,
036,201,118,381,590,319,105,333,558,779,881,626,462,519,235,579,656,159,202,
244,885,852,124,208,146,055,324,095,595,293,541,353,207,135,285,309,052,997,
909,487,562,790,528,025,922,056,737,092,280,799,896,554,826,129,028,348,594,
932,719,928,463,980,786,094,386,560,315,881,053,017,713,663,988,167,343,288,
556,990,658,162,259,866,433,128,156,208,305,824,954,973,492,955,801,842,130,
222,265,339,287,332,398,237,199,012,479,025,616,543,331,563,636,466,324,959,
663,585,684,221,656,880,663,413,402,740,655,332,709,141,423,301,716,406,909,
538,407,611,209,706,099,594,883,199,942,304,053,086,079,024,438,787,167,431,
080,502,755,767,171,912,717,171,056,026,368,329,810,882,874,577,481,938,476,
756,358,087,951,065,942,616,746,269,969,097,513,811,805,512,376,620,804,732,
795,317,098,817,756,576,332,776,532,737,017,507,081,121,558,502,398,477,912,
055,419,748,839,645,940,317,358,785,083,615,618,089,829,795,857,725,068,836,
001,710,476,509,567,804,902,474,352,722,101,522,924,143,648,328,728,319,581,
276,068,385,799,624,208,995,912,514,854,649,987,454,665,415,451,687,430,222,
396,882,298,267,444,435,931,801,620,342,441,327,390,486,202,302,571,735,410,
318,208,871,199,357,883,403,591,585,114,537,073,020,866,623,810,515,549,832,
412,431,510,164,988,260,856,757,208,394,743,861,864,117,841,500,513,457,310,
997,126,158,700,783,581,867,117,679,434,295,100,744,565,813,492,499,671,299,
745,476,635,259,741,877,874,487,412,151,935,525,118,954,768,622,453,165,062,
082,130,519,456,223,903,823,480,879,393,601,163,372,526,035,183,213,306,490,
363,972,146,213,545,041,001,272,710,697,818,586,928,785,432,608,247,347,914,
113,109,019,735,847,068,953,631,632,513,053,371,103,122,185,145,855,061,791,
714,937,628,874,108,167,925,014,211,945,047,553,921,590,140,216,517,719,635,
837,565,551,163,790,364,748,823,917,635,368,638,318,079,674,452,995,826,877,
082,296,619,623,992,403,222,241,287,366,822,506,739,910,433,106,639,673,934,
804,284,044,350,502,063,029,938,943,991,044,861,050,603,877,148,598,968,990,
589,061,035,515,387,695,286,322,483,626,857,820,564,369,380,141,542,383,086,
847,097,542,799,684,940,371,718,716,229,956,170,061,837,753,814,636,253,932,
218,720,208,196,505,865,595,746,061,899,544,679,492,163,192,238,218,291,310,
152,883,417,496,988,049,995,774,730,512,275,092,775,178,757,781,469,453,056,
503,079,165,044,716,865,983,009,541,783,606,527,852,458,159,670,340,410,817,
356,133,228,395,502,298,795,253,913,308,554,663,975,106,863,078,747,588,455,
781,856,576,094,841,130,908,465,723,183,919,771,569,781,750,149,483,331,244,
835,391,856,039,376,633,602,303,338,793,409,838,238,302,546,465,029,970,320,
282,024,495,448,652,902,279,025,476,719,605,644,546,365,851,007,297,358,228,
285,047,622,481,176,719,665,429,194,310,669,140,216,610,069,735,747,726,845,
242,390,983,933,937,590,268,183,515,060,316,416,279,368,402,006,604,204,241,
881,588,732,313,637,572,731,645,719,152,315,462,150,853,367,593,591,277,263,
113,214,112,583,252,443,306,862,032,130,420,005,916,117,156,029,586,171,208,
983,295,572,387,648,219,121,390,422,925,328,825,420,270,463,438,974,712,794,
282,434,434,775,739,503,083,055,663,395,931,304,674,895,850,631,024,232,933,
633,550,296,689,703,366,529,507,561,394,292,449,112,675,314,833,163,087,132,
705,555,414,218,532,214,633,222,956,333,044,820,835,419,158,359,228,737,203,
710,542,224,945,744,328,926,967,892,343,949,529,883,661,275,227,951,329,985,
725,151,525,922,118,364,700,264,339,306,003,677,438,092,515,369,849,636,870,
325,387,977,307,646,661,088,989,727,489,375,482,857,105,577,731,244,157,385,
837,062,949,390,162,444,414,841,127,526,360,664,280,268,015,491,291,218,391,
695,289,424,152,201,901,842,269,259,116,987,510,074,979,222,687,842,252,878,
770,569,373,657,232,055,841,774,862,629,747,205,874,418,031,257,918,341,134,
474,936,389,024,520,844,198,676,987,822,524,870,874,412,884,990,274,788,250,
440,718,320,863,893,121,616,068,875,086,174,261,992,870,696,532,494,853,772,
560,122,386,985,331,523,799,416,450,035,641,102,052,506,024,220,660,964,862,
626,807,664,675,569,092,170,991,809,854,188,748,893,995,478,978,957,863,881,
171,509,874,245,368,481,630,558,282,768,197,579,216,415,055,660,876,054,955,
337,062,049,899,677,739,851,991,853,739,869,555,511,075,793,580,395,493,586,
011,573,426,046,029,858,944,309,521,456,184,125,129,559,545,638,543,490,303,
231,667,163,727,046,679,895,884,202,724,351,645,621,142,218,797,453,584,041,
945,102,696,408,492,373,821,853,397,289,209,541,299,644,009,599,681,447,430,
636,270,730,557,401,290,796,778,311,049,481,413,148,992,438,563,292,580,874,
608,233,424,477,162,070,247,883,665,711,498,358,220,620,501,582,878,017,670,
487,087,571,197,191,170,039,472,967,393,880,570,818,954,399,550,395,084,642,
097,765,633,815,510,517,275,338,018,413,443,426,821,537,041,605,743,994,239,
515,506,894,343,127,843,137,404,190,661,268,237,872,046,020,026,263,714,747,
983,460,499,441,168,853,228,759,023,812,377,675,365,141,082,344,070,849,078,
079,948,547,881,443,445,644,835,261,797,198,448,853,131,343,667,030,068,726,
701,776,547,182,431,927,535,091,368,386,203,005,900,450,444,678,816,324,041,
448,424,961,805,181,994,035,038,974,495,058,174,154,000,921,896,115,631,869,
936,817,209,726,614,178,148,307,806,113,951,045,345,199,458,431,683,890,321,
247,143,357,592,453,799,093,576,617,424,093,590,635,412,287,471,576,733,625,
305,162,273,620,746,479,900,639,271,137,105,220,405,453,673,404,248,196,464,
579,058,526,252,769,275,382,512,481,293,130,111,930,049,914,911,511,474,399,
210,119,099,964,503,845,764,420,295,495,116,592,719,135,353,005,249,196,478,
605,359,059,999,483,848,943,525,892,219,292,772,007,626,358,994,194,517,475,
450,845,721,365,043,642,083,258,145,069,454,172,188,510,619,103,254,385,175,
111,748,434,598,256,723,804,233,111,626,314,011,942,725,553,716,754,556,845,
227,887,833,245,868,659,345,481,142,456,621,662,125,902,839,418,992,887,651,
401,726,237,804,687,896,982,622,082,696,250,120,589,928,363,996,423,172,276,
605,161,877,782,300,289,881,803,929,608,448,515,603,448,107,889,095,499,428,
154,853,484,511,420,417,531,896,238,552,697,937,239,491,111,665,032,120,443,
802,852,474,001,062,738,723,964,482,100,636,272,557,311,737,578,553,622,776,
543,792,171,466,337,262,647,263,104,354,421,174,483,057,805,196,617,833,982,
170,275,752,701,596,392,735,257,249,139,086,602,399,579,215,889,086,774,994,
025,277,085,003,231,058,939,946,477,017,552,571,897,378,627,355,624,551,224,
523,950,553,290,304,757,563,405,585,720,291,231,989,028,998,281,177,981,353,
514,832,521,270,409,084,018,637,009,860,590,222,004,724,208,425,020,534,881,
079,919,144,412,342,395,162,008,952,814,283,997,386,246,956,929,483,009,806,
656,346,504,254,346,991,519,698,798,217,146,001,772,318,591,894,212,577,576,
919,133,127,251,005,183,634,125,328,536,485,639,474,491,998,526,211,131,254,
424,238,225,273,913,200,611,216,355,761,586,467,441,675,404,072,147,108,556,
440,096,681,263,933,130,286,521,137,376,230,562,188,754,357,788,304,624,919,
690,628,471,401,848,511,974,865,684,976,798,411,191,502,872,434,887,787,773,
122,878,911,783,546,915,885,962,851,883,399,639,917,509,404,744,678,106,286,
383,920,663,645,450,116,966,609,754,786,302,905,797,688,874,952,730,746,398,
248,150,380,052,336,755,873,518,043,848,439,583,330,235,799,435,079,248,839,
285,604,259,399,715,588,292,315,795,007,383,798,801,050,316,589,158,463,016,
012,709,751,210,974,226,215,697,356,619,753,862,434,240,731,755,753,119,094,
502,333,724,092,511,430,792,292,098,794,826,996,005,748,743,391,130,577,262,
432,220,570,412,051,263,965,832,266,764,830,411,384,470,224,020,312,239,017,
224,265,986,916,969,608,538,817,589,941,288,583,940,941,714,984,703,149,499,
369,975,843,402,762,509,482,855,293,144,032,454,451,847,101,512,766,824,549,
292,976,803,736,551,931,834,162,734,137,732,180,653,146,726,889,005,326,082,
310,904,107,068,467,213,450,068,916,139,201,686,751,447,364,924,731,046,424,
226,277,970,751,338,656,285,866,566,383,555,521,911,111,437,860,760,582,449,
197,278,859,736,986,713,231,134,672,378,705,573,848,984,758,672,398,418,064,
756,542,715,197,080,395,755,514,945,560,324,146,025,168,590,171,299,032,301,
131,944,871,503,052,737,747,796,652,524,655,352,987,612,373,993,147,482,568,
339,123,452,098,450,067,512,277,312,810,515,232,183,114,363,138,466,564,059,
373,855,380,361,198,185,651,907,666,462,579,275,971,224,971,346,946,113,922,
209,222,119,712,868,799,002,025,601,225,051,297,018,350,803,719,273,824,964,
135,225,927,340,584,301,009,792,378,305,407,459,191,859,491,704,464,883,528,
618,319,051,092,183,431,725,287,594,212,965,731,366,983,595,075,201,518,372,
803,194,595,143,169,390,525,163,632,778,859,156,362,983,268,052,926,370,521,
109,356,440,947,913,146,557,201,722,469,511,103,393,193,784,836,499,542,738,
429,546,376,302,572,395,240,791,134,907,000,198,560,489,369,832,932,661,250,
738,065,191,129,196,362,809,836,272,417,824,637,544,323,903,867,282,512,853,
477,326,709,735,483,654,422,878,781,624,746,498,469,920,733,726,857,468,863,
735,668,921,431,512,525,683,773,719,962,879,827,560,676,141,111,694,632,226,
042,358,196,582,072,730,469,932,321,449,156,145,734,733,991,048,420,852,169,
633,359,370,154,061,490,440,225,002,868,737,830,488,208,307,746,580,924,046,
519,938,366,455,356,547,176,018,933,999,871,039,084,080,291,690,818,636,526,
157,295,382,810,033,980,921,900,863,106,109,450,761,327,540,825,400,785,495,
624,937,173,244,787,473,415,242,262,697,988,292,633,289,345,087,471,455,123,
647,515,923,358,496,082,486,186,563,459,020,712,179,191,673,406,337,516,910,
904,511,992,198,847,354,796,064,303,010,984,908,750,915,525,396,465,719,586,
454,894,510,279,685,624,429,676,455,313,805,280,974,996,109,411,774,109,827,
531,706,513,953,614,087,446,640,914,778,603,989,026,322,458,365,504,619,419,
292,106,709,540,855,678,097,180,765,366,770,506,059,120,270,273,991,781,304,
379,669,303,676,335,922,736,743,779,685,131,932,249,665,063,338,719,247,765,
924,572,060,146,122,250,772,790,724,613,979,775,887,342,875,882,494,821,351,
540,646,071,212,490,607,361,401,334,878,536,500,970,635,293,753,810,911,558,
330,584,991,925,188,026,139,088,097,274,146,178,131,599,557,332,895,690,151,
038,096,518,587,837,204,428,118,617,566,688,094,069,746,161,142,022,841,070,
365,876,221,614,657,913,340,570,454,258,447,393,202,956,589,967,575,192,812,
836,240,583,391,010,510,035,364,651,125,138,655,949,285,576,786,075,675,652,
645,071,678,824,818,114,364,892,435,507,021,273,162,041,235,851,049,144,654,
343,045,325,717,660,855,434,944,381,611,235,358,046,480,192,576,554,367,068,
893,713,419,341,669,497,101,928,514,765,408,273,059,972,356,220,962,619,209,
215,525,171,398,175,848,833,584,716,886,804,011,875,344,926,790,330,278,948,
877,134,857,900,264,043,729,193,173,214,666,581,395,654,130,689,081,698,609,
131,993,727,096,236,824,334,061,694,759,579,447,852,842,565,716,843,691,944,
795,203,505,930,331,650,454,363,409,852,542,294,902,165,838,695,126,372,358,
689,876,924,330,604,381,298,889,598,987,031,832,049,429,776,663,976,979,162,
744,054,791,006,603,061,360,440,218,559,446,529,703,264,920,590,312,583,873,
410,371,988,535,848,327,027,449,645,524,075,409,241,079,753,518,763,373,179,
859,765,075,271,229,618,000,620,820,957,786,763,347,423,844,227,746,745,364,
852,614,256,083,945,786,773,050,138,001,770,019,896,403,315,954,878,011,486,
079,468,342,326,728,676,229,779,394,738,100,843,480,518,657,944,792,577,411,
862,278,266,861,693,339,631,538,158,931,218,390,126,390,249,870,085,260,158,
240,249,903,921,762,886,617,247,842,456,835,578,484,840,473,883,317,484,954,
324,980,947,621,868,321,415,339,631,171,958,937,176,676,267,563,544,910,575,
753,193,518,146,254,703,131,464,806,333,772,766,622,535,192,027,473,353,951,
849,296,788,063,199,898,226,628,742,507,753,816,278,571,539,841,960,275,954,
424,445,152,669,612,162,056,493,906,280,096,105,650,449,106,606,133,448,963,
548,569,395,171,292,977,122,623,851,596,358,695,663,704,315,388,025,751,028,
841,877,028,734,052,472,077,970,506,466,500,382,001,464,135,590,162,213,116,
487,048,090,644,797,444,263,373,600,873,211,644,719,382,497,833,146,049,707,
139,214,118,949,732,717,149,847,839,341,652,145,212,693,017,148,672,709,792,
954,268,998,733,279,188,606,189,259,928,798,862,253,879,647,946,214,990,304,
038,437,977,436,341,364,673,975,282,159,127,052,037,887,583,934,306,668,834,
069,408,939,813,368,786,699,964,199,901,192,062,756,412,110,333,897,893,136,
407,871,964,694,753,952,273,913,259,578,308,356,851,884,246,036,193,273,800,
992,436,334,146,790,976,055,369,584,787,022,943,530,484,473,833,817,603,239,
835,779,701,980,090,377,029,272,653,753,822,246,125,916,127,077,025,873,181,
405,821,527,929,311,181,188,215,290,801,834,852,687,960,754,346,920,390,717,
322,573,996,048,864,304,957,374,841,999,796,072,872,925,146,730,785,676,887,
201,676,337,140,763,624,619,875,150,745,306,396,922,316,967,379,902,522,688,
122,660,959,667,594,474,986,827,238,564,287,439,846,249,197,245,575,311,465,
996,240,389,219,965,081,705,616,392,241,519,277,328,647,953,665,121,008,376,
196,446,935,204,121,213,312,494,488,078,983,938,820,855,279,787,368,362,486,
634,198,687,340,887,487,475,017,204,309,947,241,488,380,713,084,132,580,306,
897,491,175,263,395,505,419,740,740,542,858,877,103,538,473,890,426,411,232,
063,807,237,400,527,619,084,821,344,822,872,261,216,119,034,583,705,030,792,
092,308,066,525,205,982,718,914,267,900,111,906,031,571,893,577,514,716,665,
994,453,595,274,212,482,353,647,697,680,954,678,260,334,284,587,065,864,042,
331,913,592,885,865,287,077,581,042,802,651,477,159,249,983,265,595,740,686,
412,080,073,550,861,341,728,008,599,309,567,815,173,368,530,994,752,472,238,
503,843,842,681,336,657,737,300,973,180,590,399,232,994,317,499,950,975,724,
078,097,249,029,911,532,995,846,028,582,972,507,169,781,186,741,062,988,061,
274,403,589,820,685,268,947,760,071,361,720,404,669,009,419,454,240,648,029,
314,182,942,837,118,462,526,232,207,160,156,861,430,758,797,415,362,631,369,
344,904,600,841,775,654,798,674,371,451,395,846,275,130,594,520,022,630,278,
664,084,790,136,757,999,581,899,159,678,951,530,048,770,533,912,038,983,340,
098,517,308,900,345,618,067,111,289,625,331,684,239,221,662,552,914,143,455,
652,502,207,327,171,639,399,893,501,388,460,889,285,728,624,829,016,610,372,
570,816,199,255,551,211,422,601,637,210,420,204,540,873,743,618,226,436,516,
282,659,813,415,942,507,290,111,492,486,291,394,803,593,040,022,989,500,454,
126,834,429,326,758,435,313,417,723,133,777,823,340,129,490,401,370,084,531,
202,366,588,113,970,210,868,363,522,019,455,185,275,935,515,193,989,714,312,
729,768,643,956,912,137,748,483,320,812,332,157,596,269,202,242,636,935,700,
857,672,308,581,455,658,161,624,427,462,500,603,445,237,789,831,841,433,312,
744,259,858,020,756,487,286,966,372,459,581,970,165,539,377,624,058,308,570,
612,212,252,381,035,128,315,914,459,298,541,237,356,815,745,889,429,451,500,
728,181,457,169,623,615,131,508,519,690,051,049,602,948,899,082,899,923,591,
142,429,802,028,795,944,475,630,458,011,013,019,670,971,501,956,684,381,054,
577,957,597,897,710,557,775,024,789,058,138,807,672,905,930,741,134,755,254,
687,621,970,315,503,961,039,686,970,428,304,021,206,513,786,512,958,640,906,
724,637,165,942,065,706,227,190,351,524,680,222,875,879,278,582,108,687,769,
817,460,939,431,309,488,406,482,970,600,762,096,130,935,395,202,831,590,448,
337,518,227,498,958,805,033,908,385,337,471,019,901,183,429,063,095,554,688,
896,124,890,771,899,630,026,856,027,056,245,265,088,733,821,897,452,677,166,
470,972,839,031,514,280,858,280,276,242,566,312,773,573,519,733,519,707,675,
835,916,365,632,078,842,068,223,141,723,944,368,298,710,360,634,705,446,821,
967,997,236,608,751,089,342,073,985,645,426,515,538,217,735,256,233,918,171,
742,888,796,375,290,438,480,114,336,832,133,785,972,584,442,845,187,836,311,
971,875,811,181,687,941,727,173,609,144,239,202,849,675,868,953,430,457,031,
051,740,898,133,483,361,757,537,931,541,430,510,014,692,223,674,984,516,554,
192,410,134,484,539,219,463,520,972,944,484,259,602,196,869,483,926,344,087,
558,034,340,185,371,734,007,833,494,178,432,004,109,022,820,803,830,015,417,
939,437,273,264,985,155,931,220,607,267,142,456,586,614,451,905,760,424,896,
316,127,299,897,337,983,886,182,296,448,598,192,435,842,361,978,424,354,269,
530,989,555,598,692,665,469,208,812,057,061,400,211,612,186,295,092,405,204,
597,679,377,933,882,703,910,133,760,179,137,553,324,636,439,055,096,222,917,
080,949,135,095,934,822,954,332,014,385,903,664,056,022,411,610,190,264,617,
512,263,139,030,679,687,775,873,935,825,896,673,738,608,232,023,580,550,003,
876,834,582,349,596,780,451,472,388,686,047,787,622,830,732,255,701,862,360,
984,300,043,624,248,530,966,887,141,751,954,557,126,035,010,652,721,863,020,
994,584,583,247,829,520,255,033,641,504,762,276,323,402,225,083,048,679,113,
019,206,414,942,116,670,230,712,243,556,971,145,772,885,896,876,021,585,645,
622,309,924,561,218,215,270,005,494,888,447,376,380,766,384,778,954,159,392,
735,148,247,707,814,691,409,734,514,281,313,573,533,188,969,932,816,083,692,
969,984,462,119,821,504,682,633,666,115,217,213,468,678,065,260,744,341,785,
560,525,213,601,571,135,721,723,313,650,843,234,688,057,241,818,850,466,282,
764,168,633,436,977,556,591,608,576,303,128,200,125,730,872,122,338,316,870,
027,297,965,804,526,394,402,174,872,462,282,063,805,090,920,100,697,617,932,
234,643,950,876,552,975,666,127,584,186,260,441,053,885,413,630,046,632,380,
581,211,698,221,269,310,200,332,303,230,479,593,487,732,004,082,407,360,988,
456,888,180,046,426,589,286,967,314,258,757,986,292,664,298,389,560,710,413,
652,559,978,683,969,865,313,696,849,274,937,989,574,469,336,971,189,303,013,
503,841,347,690,700,056,154,824,780,964,344,734,609,344,080,069,441,199,232,
643,910,750,017,734,317,621,154,374,631,837,696,518,626,092,270,228,826,885,
038,827,145,324,300,362,756,052,824,528,719,446,267,126,467,553,072,206,430,
607,130,657,338,048,766,294,385,073,237,497,673,796,225,767,009,052,301,992,
423,450,684,060,138,894,242,202,689,603,796,927,596,786,707,913,947,098,251,
809,153,338,475,691,803,364,444,135,730,943,915,519,822,361,134,818,277,975,
806,979,999,295,094,016,152,398,963,997,457,781,722,508,884,538,165,252,086,
522,015,365,720,458,653,737,699,094,596,989,438,623,825,983,820,611,279,332,
750,530,039,335,211,897,506,336,909,520,412,184,358,527,929,253,122,298,602,
745,688,790,899,310,789,544,159,978,837,064,363,824,042,917,474,729,581,818,
719,063,780,536,314,922,407,661,121,621,662,105,898,242,065,031,655,094,320,
042,545,733,909,033,324,227,280,763,521,479,999,737,197,331,564,511,337,184,
404,794,123,552,678,900,994,086,062,303,854,042,093,706,273,408,549,444,853,
368,132,272,768,190,889,403,828,159,609,907,120,872,174,820,576,783,100,935,
882,353,979,121,990,980,351,025,941,385,455,238,720,427,885,940,252,079,706,
665,021,010,151,691,950,654,393,572,539,837,879,199,932,613,952,648,511,710,
572,023,574,844,810,402,507,684,496,798,105,226,798,050,111,421,311,494,720,
897,783,225,571,259,052,094,894,560,025,022,492,397,525,391,756,062,730,767,
359,264,574,528,702,646,351,770,939,150,063,656,124,914,174,775,845,460,565,
796,237,976,431,426,819,673,801,266,320,711,710,888,873,094,396,339,153,196,
226,174,973,642,752,870,277,928,531,669,081,507,425,593,524,644,871,719,908,
509,005,053,475,241,040,811,129,054,260,225,496,386,379,983,350,659,704,455,
349,845,433,375,261,909,264,290,177,776,657,676,519,435,311,479,502,805,459,
266,694,106,730,891,224,798,418,040,919,600,998,715,848,037,014,179,083,856,
595,375,955,673,728,403,121,861,314,886,556,009,108,902,648,167,357,646,969,
473,986,429,714,486,134,504,208,448,027,997,765,424,885,912,954,075,225,950,
507,264,888,480,630,785,713,319,255,885,983,063,486,611,893,254,801,261,915,
930,601,221,991,965,874,497,384,320,900,651,387,878,284,573,053,732,528,894,
829,810,807,190,090,256,986,272,827,291,580,525,476,899,176,523,140,346,994,
096,947,538,634,294,308,215,224,710,476,795,990,429,278,692,271,281,715,398,
502,703,686,300,654,516,850,967,376,565,355,607,893,128,617,548,144,641,119,
147,437,608,701,571,963,218,982,291,154,768,895,600,306,200,413,573,123,549,
092,552,147,945,737,986,605,817,307,652,071,779,050,221,117,224,083,566,023,
788,057,918,349,947,123,912,134,779,174,839,669,678,568,363,137,947,330,228,
826,216,848,282,244,170,273,909,778,723,100,947,517,986,441,368,424,117,444,
568,348,665,014,409,933,019,817,774,776,980,665,072,331,567,518,039,430,657,
929,052,023,677,749,703,350,061,062,195,070,057,877,816,909,634,230,340,323,
944,938,873,169,320,678,611,877,196,451,882,331,062,833,265,297,944,910,123,
804,044,867,729,059,210,713,459,114,313,181,895,741,209,912,040,865,617,433,
068,218,713,553,142,043,122,854,010,810,157,192,056,486,571,132,313,410,196,
411,032,911,402,795,441,979,092,473,435,734,535,410,971,131,029,954,710,696,
089,504,199,340,112,493,404,325,038,053,972,242,397,113,823,488,675,039,345,
455,180,583,085,529,258,849,927,437,144,342,474,743,249,476,188,642,572,500,
089,713,894,426,803,705,589,344,423,962,324,672,100,087,004,645,955,414,370,
276,712,873,798,922,141,811,993,228,735,809,853,475,901,811,110,596,295,162,
235,574,073,459,414,294,652,046,157,797,446,567,618,115,258,916,972,073,079,
952,500,129,965,111,194,743,727,522,136,361,375,831,744,984,571,709,109,209,
155,953,562,139,762,113,404,526,547,144,263,798,180,054,225,907,643,403,134,
171,879,962,388,395,919,471,497,588,677,452,508,702,240,667,601,589,522,310,
507,429,849,487,271,282,576,006,722,639,730,572,900,447,092,816,638,968,202,
839,594,573,910,414,277,199,060,298,901,250,910,850,370,099,051,200,851,274,
815,908,748,884,303,850,884,267,349,559,634,226,832,832,161,837,937,730,669,
485,174,798,905,630,703,121,843,413,684,174,921,193,136,727,656,366,494,085,
919,064,157,560,309,677,812,045,250,190,408,624,014,120,303,144,439,752,650,
193,097,415,295,890,069,807,722,106,082,793,848,044,039,300,278,008,941,457,
665,677,621,157,383,564,165,381,070,563,060,782,361,059,036,307,454,145,242,
056,402,520,425,791,142,188,950,954,926,698,114,601,120,896,335,220,795,995,
393,684,663,373,906,209,626,401,806,854,959,964,118,917,093,686,872,688,143,
019,652,219,375,795,126,345,666,294,494,396,299,900,271,009,013,707,217,184,
015,039,654,940,981,740,413,390,304,720,933,347,679,271,114,497,708,901,869,
506,492,874,688,426,268,074,268,287,154,628,275,797,202,095,131,477,341,900,
295,728,644,708,733,792,249,577,018,860,561,178,327,885,669,320,245,786,312,
814,756,027,632,791,429,349,434,577,881,947,869,647,400,206,556,149,550,711,
546,398,177,633,517,434,126,683,072,445,575,283,920,308,310,932,658,086,756,
942,633,928,694,126,976,142,042,667,471,327,162,307,842,570,674,785,888,076,
344,373,466,441,295,872,322,625,944,172,215,243,460,350,097,000,749,979,097,
686,691,871,198,740,944,685,544,358,575,984,503,724,412,322,684,272,265,314,
843,954,044,448,672,938,822,409,254,949,662,473,090,297,657,262,217,266,496,
754,086,436,220,865,070,495,283,878,115,123,863,976,118,683,394,433,445,355,
624,064,371,396,750,804,528,756,634,979,316,225,721,097,398,949,939,025,737,
071,651,126,703,364,537,105,037,055,675,493,103,528,173,241,200,632,285,161,
150,490,052,101,676,102,166,478,306,377,431,728,989,444,341,216,320,022,750,
233,099,601,397,983,919,476,424,697,849,522,409,868,803,768,451,149,119,360,
916,670,538,398,374,569,248,006,043,453,475,380,058,182,361,049,008,618,445,
892,831,414,981,636,567,681,839,697,135,438,608,381,312,928,072,513,792,544,
226,779,861,879,345,362,108,442,124,645,665,465,086,843,355,567,267,782,002,
459,636,178,504,670,119,365,266,199,094,917,829,250,345,677,005,301,197,829,
189,678,868,077,391,613,327,175,100,841,268,180,597,252,690,524,392,402,585,
226,478,325,480,413,633,278,138,862,145,511,320,075,943,176,216,107,457,202,
133,842,121,793,493,698,509,726,644,548,037,574,450,061,349,605,694,046,574,
053,607,884,582,597,427,654,953,905,415,844,172,393,012,615,783,031,072,381,
326,025,587,819,711,908,778,163,080,232,221,509,340,369,659,446,922,410,847,
027,756,229,619,669,797,948,233,641,151,551,403,680,180,643,740,097,342,433,
906,840,869,665,406,609,770,797,769,298,701,914,624,686,818,462,196,730,941,
819,241,774,262,755,850,568,916,612,411,572,606,828,139,951,252,823,194,113,
460,103,650,717,937,266,062,827,115,003,374,306,383,681,621,451,398,581,673,
479,441,163,582,727,840,178,159,858,452,761,326,985,341,661,323,913,165,806,
768,208,875,129,370,801,095,398,930,819,869,019,895,055,761,965,642,932,104,
431,576,066,136,656,330,210,636,989,784,601,567,591,511,518,368,917,765,648,
478,192,809,520,622,111,223,288,187,056,247,587,956,544,843,705,531,240,797,
200,439,015,680,702,620,673,318,376,352,794,920,743,811,447,946,900,511,148,
741,739,553,448,173,068,860,645,687,681,897,544,356,971,270,915,190,942,856,
356,824,279,449,668,795,049,370,606,581,896,901,317,712,453,077,990,002,928,
317,245,419,822,693,743,515,936,082,163,733,190,551,952,857,815,534,719,032,
661,591,239,810,456,569,407,879,163,764,592,977,787,131,487,603,638,702,310,
891,891,320,033,756,662,415,822,720,340,565,794,572,142,705,821,485,779,768,
937,216,020,333,755,645,731,982,504,408,055,499,524,972,032,737,640,580,330,
097,900,680,855,806,831,741,271,626,804,625,152,194,420,278,821,053,626,426,
708,505,458,732,907,050,924,784,227,844,088,814,873,033,808,385,126,822,430,
217,172,398,756,946,931,719,943,931,924,570,448,813,098,045,610,731,216,331,
653,686,624,289,627,005,382,256,589,674,051,724,053,451,456,995,955,705,797,
670,401,339,930,571,352,041,110,058,929,913,698,025,504,168,391,570,270,347,
750,797,080,993,265,728,715,643,090,351,155,981,986,885,069,029,954,717,790,
250,923,889,191,202,239,614,842,807,724,576,139,266,976,548,538,589,255,286,
128,521,576,296,100,443,421,918,357,535,651,759,723,807,628,222,218,396,371,
907,559,650,689,920,940,551,082,636,398,558,247,124,026,708,956,819,675,382,
214,918,213,177,158,671,338,612,394,016,285,487,101,121,136,017,362,406,117,
901,040,054,361,712,637,246,287,014,201,608,948,728,111,727,892,484,027,279,
805,593,490,734,502,022,378,264,996,793,959,611,793,903,434,992,221,970,098,
938,870,987,617,118,717,785,402,734,759,314,211,817,965,918,950,276,645,249,
061,013,034,672,384,905,960,494,966,896,005,322,844,940,029,749,717,745,588,
154,758,195,942,210,962,422,046,595,016,714,826,415,345,220,646,641,841,680,
360,924,740,912,671,078,422,493,230,358,509,403,517,566,978,383,181,545,414,
009,313,167,795,386,152,673,793,514,027,538,695,771,699,774,186,152,492,149,
193,052,004,806,096,657,411,686,459,844,746,866,795,412,981,062,595,700,876,
396,237,818,869,305,286,128,746,509,267,495,505,362,131,769,668,280,045,303,
340,010,845,612,963,781,469,549,425,253,279,765,505,543,139,660,114,609,311,
459,075,489,452,099,001,901,438,218,462,920,870,414,168,485,759,129,589,018,
183,573,536,561,286,261,766,475,385,047,838,883,927,847,554,599,311,956,838,
195,925,543,000,655,198,094,566,513,516,375,568,109,773,854,735,743,451,555,
387,150,625,369,548,238,378,948,112,577,366,782,604,636,958,849,682,431,467,
817,187,034,887,518,746,265,320,965,349,809,113,173,110,995,111,125,976,792,
610,416,315,683,459,977,152,229,112,071,452,896,639,584,381,278,942,190,501,
804,773,644,668,927,756,899,637,095,372,854,897,116,812,119,776,140,368,648,
198,746,163,338,306,734,107,683,503,236,119,649,861,634,013,289,507,223,610,
840,834,594,571,102,841,362,734,328,738,938,617,377,245,936,570,213,769,260,
027,002,993,096,113,620,727,821,360,010,891,828,616,266,807,866,377,288,382,
713,400,245,964,860,331,511,361,494,050,154,161,152,152,791,954,382,778,614,
137,652,338,032,056,862,891,110,212,000,602,360,142,240,120,396,332,702,025,
688,177,674,732,987,302,484,755,251,495,033,126,962,983,180,708,372,169,306,
614,414,363,705,420,125,264,510,704,231,292,045,009,585,927,770,090,566,964,
688,422,258,919,683,060,091,708,651,739,821,299,980,774,656,526,624,909,675,
957,799,758,996,072,428,932,198,322,269,406,227,177,251,514,032,670,828,119,
523,571,702,314,806,705,550,762,424,066,171,620,718,952,031,618,193,985,096,
415,863,378,570,725,794,839,280,524,040,258,224,103,302,207,189,873,764,457,
035,521,496,923,639,174,239,145,182,114,543,719,392,803,292,808,377,248,321,
186,483,151,486,530,508,748,047,507,943,487,501,916,184,186,884,038,597,141,
600,476,097,165,515,863,076,737,577,473,777,011,695,772,499,046,120,335,115,
776,596,330,064,105,950,735,172,523,817,910,373,688,972,707,198,398,406,625,
321,497,305,908,851,885,634,543,350,583,206,638,015,229,161,676,833,530,407,
844,375,375,449,378,017,724,964,148,013,244,355,997,170,766,851,106,019,787,
261,048,545,287,291,858,558,940,317,840,463,230,922,141,138,861,182,663,324,
128,863,405,309,297,876,980,863,084,419,690,519,594,469,169,091,330,609,658,
615,796,286,891,215,035,780,632,732,791,862,542,145,568,969,113,134,257,353,
446,721,125,558,697,449,878,765,353,706,324,914,037,843,939,137,032,569,311,
702,914,012,361,246,733,143,114,434,303,334,899,650,958,053,970,770,725,226,
842,870,007,325,472,523,524,491,236,268,223,213,595,923,960,288,857,565,176,
973,175,092,841,019,295,431,899,504,217,523,814,551,643,453,477,772,359,866,
486,407,616,652,223,805,313,052,650,147,465,552,267,602,760,235,937,849,106,
063,747,034,258,180,620,979,867,016,324,929,816,811,486,080,578,749,066,075,
633,735,099,329,137,302,310,573,732,955,848,915,189,983,751,814,720,127,275,
695,045,662,988,332,738,189,650,937,842,793,976,489,401,696,397,041,743,209,
262,366,004,983,577,764,768,329,145,578,943,549,962,284,392,776,738,700,921,
873,729,509,922,669,474,544,750,949,954,805,737,343,672,574,136,785,304,270,
135,644,204,702,268,263,328,306,799,521,952,615,453,434,699,744,720,115,900,
050,769,736,431,553,635,298,668,751,486,138,429,853,085,372,133,099,569,349,
274,636,867,668,503,610,607,480,412,834,792,005,280,044,738,391,872,153,906,
577,640,175,114,837,053,139,762,297,714,275,572,624,965,418,743,343,126,892,
158,706,936,082,668,981,340,100,850,563,982,110,410,726,507,680,340,373,691,
112,114,517,550,565,267,141,353,800,015,433,008,644,443,324,193,756,676,678,
912,594,671,483,637,087,375,135,055,041,907,683,790,112,555,909,663,167,922,
610,722,163,689,439,433,623,789,597,089,844,725,529,111,316,083,182,146,335,
387,007,715,234,502,419,843,178,066,091,068,002,450,927,025,549,869,440,186,
725,210,815,018,545,369,685,403,458,625,031,355,686,221,554,547,456,060,858,
237,179,607,264,315,372,057,024,992,390,146,001,993,784,478,069,440,768,007,
862,600,520,472,946,412,384,711,472,967,654,398,959,128,343,488,723,484,485,
252,708,189,134,180,390,263,419,129,206,283,114,296,607,623,036,431,579,010,
241,183,057,289,166,856,738,656,627,421,641,526,525,524,739,923,752,424,706,
000,118,925,446,718,733,158,980,933,897,576,900,694,934,098,683,802,712,344,
997,214,752,002,397,074,261,871,310,040,536,580,468,576,766,422,537,437,534,
823,582,411,434,351,497,412,373,058,342,722,658,660,306,125,459,885,596,193,
406,371,531,790,273,535,128,473,745,663,048,267,583,193,688,320,222,106,163,
390,704,397,538,185,628,597,287,735,211,643,469,972,766,842,854,576,728,205,
795,001,953,797,747,373,413,333,195,855,346,799,813,831,225,050,388,510,515,
651,734,158,482,974,305,887,112,941,696,517,874,199,985,769,405,509,549,664,
558,097,025,182,056,058,251,244,445,148,532,063,413,921,894,440,916,781,907,
658,676,605,333,313,812,406,407,730,661,235,053,236,095,144,127,258,158,717,
607,057,814,784,735,027,976,929,623,663,345,307,246,478,752,450,116,066,166,
040,537,927,432,815,206,706,738,924,958,600,148,662,303,880,824,922,483,164,
670,783,117,504,039,550,892,611,848,539,115,073,732,178,105,995,280,381,206,
262,441,859,222,730,317,878,021,358,215,812,315,088,215,914,526,526,699,532,
030,421,292,361,265,513,747,445,162,360,473,323,099,434,776,926,194,879,448,
443,402,599,751,941,930,801,753,394,553,752,127,424,604,093,041,413,062,933,
680,751,951,079,936,028,818,826,652,201,505,271,900,494,842,507,041,557,011,
429,067,060,410,210,786,626,494,692,928,431,956,039,762,842,494,106,309,916,
823,051,340,103,850,165,140,953,895,009,394,369,466,347,175,790,872,355,251,
616,753,483,431,959,490,015,569,410,597,353,620,379,171,558,093,889,657,285,
553,444,892,228,542,488,261,020,706,323,214,309,308,363,336,618,081,064,929,
886,263,614,092,779,472,472,255,493,617,224,083,677,881,222,838,490,455,437,
115,744,712,402,096,171,271,904,224,855,640,585,699,910,806,037,842,565,463,
396,585,742,766,946,864,724,036,786,252,905,274,328,121,510,092,403,643,026,
056,362,103,738,608,191,233,939,209,865,297,482,752,421,134,484,664,851,638,
583,060,266,333,629,229,011,868,298,580,546,512,476,677,693,776,894,965,719,
015,380,244,863,677,764,804,836,614,949,317,457,371,424,502,318,188,447,047,
753,566,063,354,687,944,650,187,830,232,022,642,463,704,184,287,846,682,074,
752,752,110,291,560,124,379,036,609,604,263,076,937,535,480,555,753,648,881,
111,993,066,369,657,770,932,559,554,053,414,468,792,786,083,625,090,982,745,
225,809,116,223,497,317,507,102,271,718,468,808,250,743,038,795,906,947,711,
953,710,608,673,760,167,315,205,109,137,944,198,702,788,358,857,585,035,626,
177,888,846,142,584,408,212,757,672,920,554,160,763,285,251,916,790,549,514,
856,386,830,553,112,158,957,604,587,099,311,784,327,524,466,994,117,674,507,
974,905,075,546,484,204,401,973,752,396,772,581,514,768,725,646,279,185,241,
798,790,597,727,595,445,606,648,854,699,222,701,431,876,715,261,512,756,140,
388,794,641,307,502,872,142,266,015,126,681,217,422,224,014,997,314,539,205,
403,919,070,870,404,759,312,324,518,904,510,973,494,520,592,384,337,883,846,
729,753,300,476,957,542,630,025,576,495,130,948,857,768,452,001,118,070,277,
001,463,595,613,718,987,749,450,535,334,532,439,600,755,722,208,929,460,975,
267,273,731,587,727,428,099,335,857,763,473,795,511,276,779,854,868,691,656,
705,721,205,004,391,919,611,313,413,483,596,411,497,294,958,210,865,348,112,
006,458,270,505,385,770,158,662,203,307,282,599,810,463,003,901,202,298,500,
359,791,687,774,496,228,148,483,264,878,844,652,157,560,381,337,896,613,289,
913,040,341,770,295,307,127,569,535,902,840,330,389,998,162,369,734,667,872,
403,832,279,712,774,749,980,373,942,286,611,516,349,828,405,003,157,036,499,
022,241,563,332,612,703,363,458,154,963,552,324,586,975,620,554,198,962,662,
886,835,817,132,241,031,760,899,708,655,038,845,591,810,454,254,446,334,222,
339,029,393,693,801,423,138,841,366,666,543,012,431,626,348,160,383,458,681,
447,141,225,831,147,927,773,538,717,011,574,844,836,908,687,292,560,488,940,
955,052,316,438,133,908,601,863,855,839,234,744,228,814,132,537,907,858,438,
509,621,784,393,895,903,723,209,654,208,554,205,222,378,959,843,437,553,684,
641,335,059,737,276,707,891,985,566,271,414,233,834,654,117,418,831,792,736,
822,985,538,394,416,948,962,452,884,963,155,547,405,752,085,102,541,158,412,
906,270,932,454,916,078,081,801,209,577,158,196,478,370,227,000,928,375,659,
614,317,320,207,741,055,929,661,573,296,221,005,422,807,052,043,507,461,863,
384,159,711,798,524,569,848,774,694,735,962,315,252,994,979,175,300,381,500,
742,221,487,409,408,266,404,063,776,569,304,151,307,694,223,609,788,759,689,
035,993,497,421,375,992,177,932,466,148,460,539,319,012,981,652,163,840,927,
664,363,585,189,044,111,529,020,445,308,573,382,037,340,772,457,630,568,941,
162,585,122,005,941,129,887,547,364,922,542,245,275,474,338,915,568,300,537,
385,168,954,387,473,963,265,987,622,909,809,030,249,400,316,609,087,515,236,
108,779,543,359,312,757,225,034,358,254,268,715,274,183,045,357,652,802,995,
035,389,813,516,962,925,809,924,007,736,481,027,987,450,883,659,362,097,010,
159,940,343,626,612,918,481,818,146,555,711,461,428,219,994,655,102,828,865,
658,282,954,141,910,579,269,694,621,028,315,964,027,471,147,144,330,997,343,
307,488,051,765,596,702,431,215,180,361,077,884,532,652,910,299,651,256,463,
083,127,275,831,644,744,366,658,216,880,324,698,115,164,452,766,828,325,185,
604,940,212,380,447,799,751,235,659,195,578,876,398,205,433,669,888,121,561,
402,020,887,741,824,807,249,772,159,586,158,426,120,306,597,339,179,590,219,
847,150,121,452,198,428,669,483,274,945,112,545,152,353,946,701,181,927,305,
885,085,198,055,112,431,670,554,974,208,681,927,682,446,238,617,861,315,539,
656,565,695,118,464,493,926,577,726,160,883,547,424,147,117,110,034,957,183,
621,722,722,057,792,125,492,505,597,293,122,410,567,858,511,017,193,505,584,
241,193,280,882,404,861,660,975,516,584,496,685,264,847,965,060,552,574,537,
682,929,932,133,312,871,018,760,495,053,427,070,980,833,173,980,437,925,461,
219,602,143,600,159,705,485,318,049,428,044,813,721,800,059,174,833,726,570,
612,124,616,308,130,573,796,067,300,636,545,825,207,271,894,671,143,119,685,
139,166,194,460,593,699,852,044,116,250,047,649,228,637,922,822,198,740,346,
578,696,178,866,084,298,844,770,724,673,904,240,510,957,120,743,227,347,189,
958,256,838,861,642,597,266,519,854,458,680,660,285,801,222,225,844,861,097,
434,804,984,967,477,053,421,221,489,682,268,229,178,382,381,774,448,900,815,
560,427,676,747,437,180,540,057,405,104,631,845,306,006,175,693,794,298,713,
035,855,021,351,047,450,601,478,727,953,320,381,274,154,243,511,367,227,502,
843,377,061,303,398,661,707,886,161,845,859,532,922,280,266,890,825,944,662,
307,302,996,702,221,147,773,649,258,717,842,438,843,782,283,834,054,820,650,
848,591,290,114,870,779,827,547,830,292,274,543,412,596,623,710,730,972,532,
308,948,527,972,607,221,368,816,035,330,591,966,431,262,471,442,924,705,795,
050,319,597,122,551,827,674,323,113,958,240,731,103,742,823,285,614,297,141,
929,717,395,944,066,021,388,247,631,091,481,662,625,949,489,320,391,678,980,
454,583,984,115,747,772,043,500,487,134,006,079,212,331,705,104,853,739,025,
454,493,102,171,744,347,010,310,656,304,408,100,315,498,532,362,089,911,636,
697,139,172,438,899,500,038,614,218,236,182,601,508,357,042,197,245,701,088,
020,710,106,884,621,361,392,499,927,558,963,026,606,027,832,593,566,832,150,
333,184,662,415,952,566,490,632,659,211,443,923,796,536,353,138,430,143,322,
571,178,531,793,590,171,542,544,207,804,605,550,560,625,526,682,445,290,438,
816,133,835,919,614,172,346,739,234,564,297,700,818,693,981,349,373,218,280,
970,056,671,160,484,247,819,619,310,974,578,514,929,493,191,250,204,363,965,
991,941,868,917,000,730,392,724,575,732,499,391,844,131,756,682,334,761,458,
512,673,685,640,093,556,164,574,880,920,916,188,170,929,676,820,583,148,168,
580,711,718,281,781,411,135,283,057,642,278,570,999,196,925,484,783,855,213,
747,646,092,175,149,575,167,637,214,296,024,924,187,559,124,765,802,024,979,
505,394,313,494,003,709,931,118,663,340,985,239,198,977,855,654,133,605,601,
304,528,895,965,811,597,655,729,557,592,678,896,117,210,742,683,093,811,717,
409,148,395,580,116,853,647,987,126,325,948,712,878,249,342,573,385,562,833,
331,961,847,128,914,023,333,965,359,995,357,020,442,020,158,951,817,511,968,
648,700,985,739,158,073,159,134,849,930,690,088,049,986,697,267,070,102,388,
146,709,705,739,071,251,187,392,653,377,696,547,191,562,568,449,058,370,191,
204,089,083,277,837,479,100,657,976,691,295,163,623,349,402,463,296,448,163,
484,535,402,236,650,133,339,303,977,684,831,720,207,777,303,206,721,099,444,
973,191,313,120,614,286,172,313,268,510,374,259,072,163,723,038,673,494,884,
529,108,259,905,243,432,461,927,142,746,188,698,908,017,516,348,172,447,287,
653,690,273,950,806,792,925,463,140,249,242,718,934,406,562,725,647,098,388,
490,870,000,936,765,185,891,189,904,321,785,274,564,998,033,126,983,471,114,
697,340,361,518,379,913,048,852,499,810,395,724,672,334,241,628,293,389,930,
500,608,306,960,930,837,918,571,454,745,858,529,757,318,482,869,310,422,960,
142,823,317,906,695,460,155,759,681,812,309,798,906,126,126,286,134,846,385,
800,349,972,300,642,571,491,683,129,123,268,556,256,097,415,697,182,720,802,
714,271,185,011,325,257,959,908,624,210,076,698,473,298,647,212,895,331,457,
899,714,679,801,121,236,067,086,576,118,123,237,193,548,371,989,690,983,845,
820,748,131,055,650,938,662,702,435,523,474,085,802,486,840,314,226,046,692,
037,430,775,595,862,296,467,711,133,223,808,749,046,513,709,802,219,212,756,
754,437,274,080,812,890,536,001,044,742,338,986,445,583,793,373,062,680,227,
226,832,185,593,891,189,184,414,551,721,188,140,633,284,033,858,950,394,190,
651,319,579,559,442,698,845,637,905,645,722,078,938,630,670,001,065,350,671,
502,306,455,661,152,596,551,039,720,302,142,858,009,189,176,934,876,720,633,
919,573,028,855,381,874,128,489,370,333,132,442,926,016,777,432,371,765,104,
217,092,024,123,902,582,091,389,061,943,460,561,877,412,419,267,710,351,902,
405,699,187,429,689,778,809,382,083,810,875,596,452,569,243,635,565,788,002,
324,479,794,729,059,991,904,700,469,005,479,745,097,735,918,937,458,877,574,
877,041,755,058,156,972,617,577,417,129,481,753,278,505,045,194,029,056,332,
534,509,920,436,821,449,069,654,154,877,925,880,854,451,841,217,239,561,741,
380,393,592,977,176,344,473,046,781,849,619,279,387,618,358,915,170,529,530,
839,637,195,321,046,783,727,561,553,227,883,151,500,208,197,335,878,029,202,
837,576,266,924,363,112,871,721,749,856,945,293,828,476,986,190,918,794,860,
172,950,544,419,315,156,851,652,833,582,587,212,622,158,778,815,024,390,998,
334,667,001,263,719,921,574,926,910,806,269,839,593,981,989,111,153,791,601,
353,005,798,090,215,042,627,935,761,563,751,187,127,875,938,678,733,970,505,
857,585,105,173,912,986,104,408,461,300,583,591,656,174,385,610,784,456,135,
213,545,087,458,248,527,289,389,817,596,690,982,110,932,204,369,255,219,169,
866,719,354,492,660,414,804,891,924,825,420,676,709,802,874,760,004,107,491,
254,783,104,160,655,686,711,613,598,066,627,697,939,999,801,793,579,735,844,
344,244,309,368,100,026,965,155,568,593,734,337,811,992,653,082,044,708,252,
588,044,805,544,473,356,924,344,726,629,465,617,885,951,041,942,666,187,225,
098,551,991,742,954,582,661,164,194,319,744,383,960,314,635,269,056,861,120,
166,446,476,513,473,443,371,126,264,390,340,684,674,170,787,777,606,752,401,
044,813,958,541,073,264,765,388,095,882,734,820,529,875,733,453,347,144,542,
233,542,446,738,156,160,664,947,015,181,693,398,472,342,875,689,606,638,489,
211,144,664,214,453,996,276,775,674,231,882,420,045,251,731,212,185,068,899,
167,742,223,451,790,242,281,169,908,232,448,014,143,919,009,557,119,373,027,
360,454,127,725,760,944,816,000,864,750,058,770,936,536,345,930,697,547,033,
087,051,835,092,171,265,680,372,430,226,333,325,564,929,326,893,881,786,533,
405,611,230,828,143,722,906,218,953,477,266,711,571,283,975,570,638,258,188,
733,792,520,469,610,441,868,469,176,008,214,597,408,118,681,919,200,222,730,
907,254,669,005,274,535,431,666,455,879,326,652,123,456,421,991,580,115,754,
657,785,177,647,568,390,804,217,801,957,149,455,012,021,055,889,536,106,430,
603,516,817,318,822,819,701,974,229,367,808,265,933,897,975,450,012,710,294,
036,876,961,214,474,994,665,260,992,662,631,406,872,524,562,906,342,653,050,
428,054,233,917,656,076,671,678,249,745,651,927,201,670,877,978,301,687,414,
756,717,916,956,789,622,382,891,095,325,480,078,415,391,553,466,069,490,741,
774,139,392,284,045,779,222,097,871,768,066,496,386,370,204,754,881,530,629,
222,126,724,946,324,716,909,107,116,898,383,470,240,387,934,474,132,650,599,
367,364,651,306,785,045,288,762,944,797,813,652,984,827,978,177,879,899,025,
839,645,345,064,876,155,757,669,262,658,655,461,855,419,571,941,573,042,586,
140,551,239,190,110,130,506,028,992,170,202,437,129,315,209,644,746,660,101,
219,484,002,474,698,272,233,357,540,610,056,226,892,434,639,479,152,555,656,
454,264,807,643,921,184,076,009,451,330,595,766,735,712,877,352,531,999,073,
585,968,668,073,061,709,349,782,181,226,553,866,449,819,441,328,184,924,323,
552,111,765,043,289,719,106,799,325,251,808,681,437,546,081,032,566,209,376,
509,879,698,427,056,449,471,816,072,763,045,175,680,432,364,359,191,758,070,
988,497,876,700,111,705,645,044,097,318,055,531,082,713,409,562,204,639,452,
696,773,892,136,404,227,876,184,716,379,049,398,986,976,692,273,163,943,448,
317,820,742,228,212,937,455,981,205,476,452,013,333,786,140,793,726,655,255,
809,256,268,792,742,656,107,699,963,822,523,826,544,640,445,435,916,159,661,
224,174,450,615,287,329,675,089,613,558,288,829,901,276,220,165,296,134,638,
101,944,050,770,711,408,367,352,215,469,564,266,303,687,246,375,105,071,406,
501,431,062,108,725,660,502,494,092,987,868,115,079,506,048,416,157,650,459,
865,526,073,914,065,501,236,362,702,258,579,060,937,796,405,530,134,349,945,
941,934,329,152,745,527,272,281,170,153,779,114,730,942,986,667,007,379,591,
610,563,187,247,043,087,920,139,565,432,620,163,724,867,196,022,565,407,869,
587,495,882,960,769,812,017,056,452,198,809,719,738,253,765,452,064,656,338,
246,785,395,937,797,577,115,354,382,101,080,595,507,922,184,752,228,943,252,
101,038,340,518,399,146,647,009,391,422,127,010,143,235,734,851,525,168,371,
500,922,321,542,244,297,904,441,622,727,355,519,097,165,320,005,945,484,494,
467,722,434,914,467,570,813,388,007,154,869,984,071,349,740,205,156,675,083,
255,989,211,585,746,690,655,499,160,860,113,348,703,979,278,430,428,419,112,
531,460,188,061,110,012,388,337,722,139,615,800,643,052,419,639,990,123,307,
879,958,607,524,372,618,740,326,550,599,141,048,996,507,816,793,813,249,814,
633,581,175,157,524,746,490,882,139,846,510,382,107,930,385,244,097,055,749,
428,644,236,319,262,337,421,143,416,878,720,106,507,056,638,519,121,850,074,
902,688,865,017,330,123,549,658,409,484,539,851,527,447,724,456,821,538,359,
250,982,181,644,368,229,425,929,168,160,464,757,453,145,324,915,255,762,719,
173,664,723,909,765,783,782,883,628,301,754,207,629,426,831,727,924,676,343,
686,199,317,738,328,556,003,920,909,256,799,044,737,471,155,425,590,906,320,
772,872,437,442,152,046,805,684,257,932,398,328,170,509,648,643,545,219,344,
063,922,101,554,331,373,467,434,045,605,002,510,333,261,404,333,909,126,430,
244,929,118,739,024,704,716,328,499,935,433,694,736,211,766,166,089,568,352,
455,690,130,997,347,621,623,991,961,958,843,850,703,075,862,261,765,042,214,
157,957,217,023,972,491,181,161,906,442,024,306,789,112,159,987,720,410,285,
119,836,530,982,677,401,874,180,210,712,131,073,152,819,222,433,930,444,963,
255,238,471,322,657,251,797,965,261,787,463,340,201,972,382,620,184,777,738,
143,353,266,356,212,490,552,123,091,270,491,963,677,576,669,177,355,360,134,
082,576,504,062,820,646,406,919,006,832,573,991,712,358,028,549,298,592,530,
342,961,367,719,956,541,824,990,924,739,322,247,886,324,078,100,511,180,305,
250,215,971,461,055,812,396,005,822,297,110,486,890,629,891,263,721,142,612,
691,678,978,741,875,644,241,711,209,292,072,399,133,248,686,320,229,920,926,
669,741,105,662,236,247,433,588,200,325,886,774,381,503,279,884,535,607,574,
262,321,604,481,428,232,455,797,190,696,275,342,341,719,889,926,552,629,179,
989,779,890,932,228,223,056,960,739,835,805,273,599,804,800,583,838,120,603,
531,335,788,829,974,873,676,566,191,496,523,178,302,497,004,737,913,554,518,
457,369,114,780,096,199,522,195,278,576,580,340,126,440,088,603,910,177,951,
786,046,595,844,297,907,124,634,439,612,633,115,639,907,513,779,628,840,365,
303,406,472,525,059,153,480,105,502,564,443,738,478,808,950,212,114,998,832,
729,757,033,606,719,935,254,056,263,730,336,782,204,832,910,771,638,602,602,
351,844,755,035,872,769,189,455,042,756,577,943,020,302,503,847,194,232,585,
734,123,699,974,710,084,558,862,890,540,425,730,510,516,840,413,241,291,642,
245,891,508,225,501,288,758,271,463,489,525,383,500,224,746,527,471,763,862,
492,741,607,110,883,759,985,304,613,764,940,163,968,890,826,419,670,956,941,
614,791,203,933,090,928,972,764,313,310,495,251,598,934,412,588,444,879,173,
659,944,743,372,009,693,247,966,884,587,152,259,432,098,356,089,422,561,957,
015,823,777,897,155,611,896,848,177,873,257,817,804,449,171,210,584,847,239,
191,539,222,189,574,521,729,896,089,698,435,814,341,531,327,266,986,757,817,
439,551,865,320,880,726,778,458,572,167,353,541,196,958,000,398,894,669,094,
241,245,491,850,205,192,776,331,486,958,375,110,339,326,681,533,042,140,321,
247,706,266,172,585,021,817,490,168,076,654,529,052,168,059,959,011,349,144,
849,627,077,408,839,484,814,680,164,781,036,079,275,355,522,671,163,852,107,
594,531,577,993,610,478,514,807,989,723,665,845,431,823,884,986,973,261,283,
332,276,072,948,093,950,898,529,445,324,275,302,239,543,952,920,206,793,851,
226,883,847,640,681,104,503,826,820,881,920,018,567,078,942,444,966,919,121,
930,862,691,868,893,549,417,980,293,492,360,781,179,959,903,459,828,869,877,
781,383,552,629,571,419,981,735,156,044,671,382,518,804,812,852,581,572,951,
750,234,172,225,646,599,808,916,294,573,219,011,737,646,407,253,022,252,608,
731,665,190,902,722,368,407,182,193,357,842,156,094,775,744,337,188,001,137,
142,786,537,069,843,096,417,017,843,312,621,733,023,604,543,314,859,752,479,
848,455,033,517,832,238,801,493,288,600,041,725,302,698,594,119,688,011,455,
086,491,006,229,911,616,749,439,945,703,662,219,485,158,962,014,940,689,639,
659,902,771,355,578,585,160,987,742,300,453,387,101,945,019,252,572,377,940,
215,582,754,215,276,194,736,032,762,843,615,776,256,361,435,347,728,813,825,
062,533,944,206,209,941,325,959,278,114,230,528,554,708,337,591,148,089,200,
086,221,783,453,643,479,646,067,557,097,903,221,110,950,258,770,576,513,435,
051,865,654,536,784,075,670,711,210,263,720,595,643,894,547,176,342,366,196,
815,063,471,397,647,407,371,640,091,639,829,142,027,675,176,560,614,387,917,
567,227,100,973,152,776,662,599,065,743,323,827,355,329,180,467,972,149,496,
820,110,713,177,742,474,072,253,237,087,829,380,178,320,412,395,544,143,445,
543,476,092,152,595,648,008,259,338,504,980,853,742,488,908,265,860,764,037,
256,066,292,711,275,075,135,005,232,383,564,385,341,308,230,536,277,973,350,
347,494,980,702,344,895,356,165,390,082,278,041,378,551,336,091,398,081,553,
033,527,390,095,416,267,538,614,594,055,502,029,602,974,188,906,573,124,275,
203,550,453,033,762,199,448,738,998,303,041,323,432,634,823,377,215,146,868,
148,294,163,083,304,530,122,362,661,717,380,639,723,044,967,156,578,663,664,
348,804,579,320,899,682,049,377,833,039,346,977,916,216,143,091,056,750,428,
535,511,973,306,731,688,998,778,165,927,167,174,262,102,658,843,920,734,146,
116,649,215,812,036,805,758,930,031,355,676,344,291,647,255,975,171,733,406,
647,627,938,982,599,026,366,306,989,685,680,961,462,063,758,937,390,997,117,
235,365,740,956,966,039,174,082,358,898,572,171,653,448,337,149,563,756,275,
190,489,132,294,281,256,439,561,027,902,790,441,124,379,622,632,565,736,680,
984,820,794,721,135,659,397,340,790,312,914,273,469,516,216,228,543,995,116,
533,144,542,076,942,285,403,904,063,392,412,821,597,851,301,251,111,056,567,
252,902,832,846,384,052,952,309,367,430,700,734,161,039,064,667,073,086,753,
960,161,967,236,390,468,358,769,991,396,232,700,668,156,254,948,096,153,373,
234,110,404,349,148,848,654,489,791,747,397,502,253,930,314,391,318,905,536,
789,501,501,066,719,060,178,979,849,419,563,798,364,293,107,415,441,447,863,
925,031,527,451,681,145,166,704,753,738,784,219,590,673,998,340,602,264,697,
742,812,439,042,930,386,440,398,380,454,916,972,876,482,119,960,423,051,531,
028,563,710,144,391,829,213,069,015,297,480,264,893,313,152,910,069,479,836,
904,726,042,754,499,883,571,806,754,207,220,418,646,892,611,895,877,599,723,
830,316,200,685,649,297,904,389,494,781,280,082,575,396,131,180,218,946,861,
267,228,171,458,629,134,418,198,234,904,906,151,482,807,190,344,163,623,186,
131,748,556,673,075,326,312,624,757,095,466,933,722,965,597,005,322,202,381,
796,725,626,592,874,132,080,252,389,060,207,038,276,332,384,131,844,034,997,
003,329,208,389,875,243,652,980,905,426,903,191,847,056,083,553,170,641,318,
356,467,514,987,277,382,028,680,571,847,383,318,774,886,437,281,524,760,755,
663,034,946,527,664,883,182,706,044,603,330,740,996,159,685,443,447,398,736,
242,799,989,189,142,166,033,539,800,248,323,601,186,275,997,842,096,909,080,
471,445,460,123,467,635,030,817,778,867,960,089,251,634,429,258,606,569,802,
419,468,728,433,917,689,689,458,888,340,629,314,846,541,906,186,474,842,030,
642,835,184,671,063,425,833,422,997,727,012,967,392,459,623,112,651,460,854,
645,456,614,820,141,207,766,035,020,933,799,868,320,871,040,100,637,822,054,
919,561,212,335,457,224,326,592,909,518,913,106,964,206,484,011,324,647,969,
541,432,844,311,817,588,503,390,686,489,042,273,392,237,360,422,430,423,285,
465,510,852,628,327,444,827,279,547,067,357,431,804,107,132,531,381,820,899,
050,643,324,861,039,178,980,830,896,253,130,204,437,372,214,227,250,319,246,
701,910,142,978,952,924,703,327,829,110,130,878,002,074,355,783,504,138,425,
992,466,745,986,667,359,804,912,806,578,750,405,340,383,014,437,840,025,276,
868,456,636,479,442,890,773,066,877,010,451,181,174,901,342,393,060,362,170,
197,992,237,863,132,890,023,727,436,314,656,046,375,726,781,999,572,536,117,
764,451,180,220,546,935,739,337,348,363,295,017,866,507,846,856,974,913,053,
900,057,568,664,844,820,387,599,346,427,023,755,048,185,694,755,856,535,274,
682,931,847,312,808,051,123,435,287,374,759,932,687,732,329,778,198,453,168,
027,811,631,029,580,448,511,616,035,333,895,435,799,905,533,569,837,255,858,
141,226,900,539,507,414,683,982,342,400,359,367,760,540,596,719,102,598,497,
261,981,707,188,446,843,776,975,342,529,267,716,163,889,835,996,172,010,422,
917,163,416,008,723,536,372,500,004,250,012,299,985,464,127,171,311,544,568,
313,997,428,085,409,013,878,435,560,450,630,638,688,888,022,651,532,862,942,
566,116,131,919,840,608,586,551,879,429,179,577,240,103,315,443,200,110,373,
410,076,549,313,112,310,654,900,290,565,378,435,812,377,783,676,145,277,928,
013,434,826,408,688,927,825,962,100,029,272,446,086,096,825,786,853,457,703,
446,646,723,464,739,559,708,478,375,082,670,120,228,161,278,650,046,208,318,
840,288,233,410,905,982,464,061,445,058,053,688,149,189,231,120,540,165,357,
678,057,977,483,171,909,166,230,373,749,678,711,325,737,538,433,214,546,175,
740,244,505,939,228,810,019,345,431,410,715,186,195,292,913,765,794,869,692,
469,786,639,879,428,922,361,395,688,411,156,211,233,645,553,475,983,340,751,
043,785,365,416,906,613,491,940,178,796,575,090,301,229,417,814,630,259,408,
207,848,678,940,173,733,237,635,344,606,623,339,899,703,402,769,113,432,231,
937,115,597,535,116,250,496,915,522,679,683,756,647,959,178,949,198,853,916,
583,280,238,830,990,587,286,141,377,328,600,714,361,551,268,855,748,804,772,
540,987,997,813,830,386,230,661,564,471,900,515,630,426,115,695,523,266,040,
550,406,101,635,662,355,145,909,643,623,612,870,545,699,746,195,955,535,819,
158,916,271,147,018,709,302,754,997,633,419,872,205,778,861,824,940,124,539,
710,104,951,246,840,644,916,921,522,729,392,393,906,196,092,010,151,624,254,
346,774,268,765,669,866,421,623,008,255,984,290,700,200,621,060,887,358,788,
428,374,378,721,202,869,668,352,132,201,617,098,208,500,939,435,093,911,845,
386,121,012,925,788,283,924,258,431,911,402,598,533,750,059,033,567,059,456,
310,498,397,058,885,043,636,842,286,094,301,180,911,295,161,134,439,530,556,
637,416,723,188,985,326,883,470,736,049,320,543,391,107,761,530,603,269,733,
987,614,901,495,396,969,702,713,469,080,693,154,478,372,721,454,155,421,796,
849,136,461,173,232,068,796,873,354,203,909,932,829,067,975,540,979,024,654,
971,436,924,379,381,030,967,957,793,556,751,102,543,808,009,185,183,127,370,
697,163,265,545,007,920,867,897,571,601,482,664,791,315,905,717,836,006,087,
187,822,037,694,017,877,126,010,471,224,768,367,500,403,538,413,756,868,026,
714,627,859,635,045,791,755,841,828,565,731,841,053,610,863,815,786,416,267,
959,332,265,902,445,196,005,012,513,896,937,252,080,241,101,824,330,031,452,
687,853,994,997,207,261,914,900,150,687,737,192,197,857,441,450,818,923,701,
030,001,402,258,190,361,473,813,405,826,929,658,430,049,183,571,279,725,431,
408,975,560,655,101,459,423,846,075,988,546,085,750,549,429,848,801,878,090,
205,431,811,841,514,601,831,857,544,538,307,967,448,281,203,833,238,321,392,
651,623,383,409,453,471,573,526,051,711,308,028,091,051,981,501,512,285,706,
966,147,269,667,247,578,414,221,593,576,784,065,413,077,350,992,361,312,499,
252,737,759,017,075,764,837,663,902,413,234,958,357,045,831,567,226,284,382,
979,583,738,238,523,904,817,596,123,382,629,047,623,880,647,692,835,582,977,
531,869,828,919,983,921,521,067,649,018,759,853,275,560,665,089,434,010,301,
417,972,342,148,758,693,261,380,703,659,850,351,363,307,426,406,966,132,152,
654,114,295,604,582,159,034,098,127,018,532,887,769,384,573,858,900,194,929,
903,166,136,687,633,277,084,068,201,261,251,165,489,257,138,949,792,911,969,
427,527,902,918,582,722,569,831,103,340,063,381,656,103,802,265,152,005,023,
849,296,791,045,064,694,036,887,562,797,629,390,599,549,687,332,657,596,507,
803,157,750,682,759,057,116,051,415,076,001,600,860,617,270,958,102,051,241,
933,193,756,269,118,060,503,766,629,713,651,952,120,170,681,784,622,408,810,
518,684,571,224,176,335,696,399,030,522,182,973,656,724,945,112,974,055,975,
958,509,037,518,241,348,419,200,673,250,712,846,221,614,538,282,889,654,709,
886,653,481,101,726,595,750,636,615,941,132,240,651,526,558,064,851,303,215,
339,715,950,724,459,270,901,977,392,718,786,073,154,734,767,583,871,385,836,
186,420,802,752,079,170,459,128,685,930,832,318,754,245,087,223,416,543,816,
593,471,683,355,351,506,848,192,429,584,734,853,986,368,519,938,099,419,570,
536,402,201,182,695,210,420,402,975,770,179,671,728,448,259,431,829,922,750,
111,420,512,377,833,950,884,481,123,388,566,285,506,744,813,891,364,990,226,
952,721,219,743,944,117,907,684,290,891,176,672,662,445,466,362,459,183,393,
050,444,739,234,640,813,860,649,369,534,968,900,973,591,682,490,349,541,002,
423,044,801,199,906,011,974,973,636,697,973,547,674,622,626,853,618,690,514,
301,808,880,480,473,880,403,704,836,885,873,162,135,340,371,975,803,851,052,
555,366,832,365,643,205,681,406,624,329,021,207,208,620,619,080,807,998,424,
079,415,473,676,367,701,063,737,071,705,164,504,581,740,597,681,840,499,467,
451,415,331,450,099,867,834,123,754,078,335,879,046,540,915,059,961,729,775,
414,355,402,639,877,255,513,950,669,651,986,322,167,418,298,820,776,781,475,
711,957,920,763,646,080,395,645,811,485,913,711,208,431,566,847,665,132,485,
774,895,266,212,569,258,327,802,028,492,222,049,637,954,017,079,399,845,612,
259,752,455,526,852,438,253,871,501,903,877,323,777,510,456,146,877,555,752,
956,132,397,768,522,207,025,553,536,678,752,236,647,816,301,109,748,355,036,
523,539,912,249,770,164,051,117,249,920,261,421,514,103,365,329,258,848,324,
486,829,894,365,326,216,421,513,063,852,224,412,077,199,468,816,116,342,858,
168,349,225,970,419,495,257,726,741,489,906,790,265,737,332,303,457,591,094,
880,721,702,634,880,548,363,484,863,057,180,622,949,013,743,717,782,593,984,
851,597,771,563,949,252,824,842,150,677,946,966,277,879,151,288,424,664,776,
126,783,495,095,568,522,511,253,822,621,883,417,432,689,265,469,190,690,041,
694,240,762,457,962,256,127,687,143,694,574,457,515,711,742,109,155,119,397,
763,501,883,741,269,928,912,788,223,183,073,432,699,186,343,112,343,571,204,
124,373,089,139,896,688,416,702,168,011,253,532,086,967,205,011,128,696,912,
336,267,268,293,983,201,218,599,987,333,449,386,620,685,022,741,400,481,955,
797,990,154,765,413,598,875,719,164,539,795,208,820,161,038,339,573,497,775,
239,053,379,036,893,005,392,772,891,760,680,343,351,659,056,219,817,359,980,
420,797,406,644,494,613,593,718,207,884,289,747,870,276,038,061,940,984,421,
214,518,710,314,914,682,644,715,375,161,904,356,898,927,860,253,102,399,066,
331,711,830,667,607,670,784,789,453,496,830,445,301,203,499,586,959,793,849,
802,034,201,517,046,726,733,750,213,698,792,996,203,002,190,162,495,084,489,
126,275,434,317,063,459,955,737,719,510,671,959,525,221,344,629,466,799,198,
350,051,103,660,926,618,394,457,216,413,519,232,071,490,426,278,198,143,047,
355,763,130,810,528,809,773,773,927,053,578,284,829,277,925,092,699,461,551,
815,420,939,726,601,124,006,861,721,893,061,986,573,828,419,707,727,092,557,
942,368,127,841,239,079,837,995,024,179,406,283,698,690,543,893,853,355,013,
266,512,872,171,185,228,512,251,587,184,447,607,662,907,383,490,980,055,489,
826,538,776,475,548,824,286,710,785,816,662,858,722,450,973,928,855,124,651,
801,069,422,676,406,270,586,202,551,077,053,598,393,283,670,274,654,152,333,
180,220,772,720,826,363,473,657,995,635,107,064,749,678,204,706,517,948,436,
055,103,413,811,283,354,155,148,622,666,678,521,165,424,385,378,978,183,568,
259,136,157,679,018,920,499,746,927,727,717,965,489,372,369,455,487,713,632,
259,787,149,031,871,669,622,197,543,344,175,389,484,865,604,723,458,856,252,
064,769,048,754,372,208,893,342,425,900,078,866,320,923,312,852,679,109,362,
764,806,099,828,656,641,913,659,334,141,650,804,454,011,565,227,391,590,045,
569,449,386,045,016,511,917,294,602,006,495,404,403,265,387,802,180,323,493,
134,253,439,457,936,556,465,905,924,522,657,241,556,292,218,754,711,915,005,
691,225,287,716,102,789,059,237,267,241,462,309,531,654,652,567,684,757,727,
527,680,570,427,071,552,603,268,559,041,802,970,870,872,087,340,029,156,559,
821,295,489,695,785,657,613,829,903,191,246,701,771,362,431,973,565,911,338,
563,587,197,930,282,784,448,003,252,831,041,487,968,619,632,527,731,489,942,
361,267,991,808,848,151,537,080,136,200,821,701,364,028,265,444,133,416,311,
781,261,808,888,813,327,266,306,425,764,953,879,509,833,774,547,910,868,654,
501,272,943,599,281,051,071,081,318,803,212,258,609,667,165,724,442,149,806,
234,216,145,722,905,968,946,771,851,377,288,653,256,749,964,931,862,148,713,
237,807,591,804,133,971,855,894,641,815,366,135,706,263,594,449,745,818,091,
384,352,003,757,619,357,361,171,551,593,457,200,390,237,851,615,812,227,393,
073,781,627,243,953,498,867,636,811,644,585,935,145,275,094,922,427,972,838,
496,218,265,051,056,312,143,271,421,530,262,366,321,737,538,587,984,329,355,
250,666,378,013,833,278,283,157,099,840,673,981,965,786,512,363,082,771,357,
439,482,908,655,565,893,738,356,740,579,240,608,436,452,169,980,653,448,543,
417,995,482,505,828,979,981,472,526,967,185,442,926,610,498,399,611,704,766,
317,821,833,689,354,881,668,009,329,680,473,816,387,633,702,732,794,018,695,
920,517,372,399,839,139,534,800,532,388,261,373,908,568,806,872,050,125,367,
258,493,620,830,787,587,640,798,642,110,969,822,616,939,023,051,976,388,475,
995,844,136,975,134,938,570,574,877,060,797,250,524,174,473,746,167,911,769,
601,353,731,600,150,405,399,822,338,273,869,905,172,642,802,331,691,280,384,
924,435,723,803,713,286,548,324,667,366,876,004,431,214,832,769,994,425,929,
512,506,965,640,546,060,112,259,857,673,407,973,106,200,591,145,013,539,735,
041,720,779,979,314,245,815,375,049,988,329,384,167,426,428,349,133,955,208,
371,710,423,460,145,523,158,197,091,954,713,038,519,674,509,077,084,680,379,
689,523,637,226,121,544,473,941,529,941,582,494,712,800,753,783,694,658,104,
313,826,695,424,579,284,933,054,448,289,185,271,209,940,202,037,994,982,370,
618,784,840,344,556,066,877,301,411,394,488,917,388,005,648,251,718,621,818,
824,237,016,550,655,848,413,034,724,440,633,356,235,302,972,740,268,182,310,
989,752,029,630,769,868,052,105,304,671,703,060,883,272,421,933,242,396,990,
070,527,265,668,768,238,922,987,636,163,528,790,079,448,662,663,787,949,420,
970,580,760,401,381,780,613,826,735,588,177,039,449,215,232,497,149,035,123,
580,724,301,245,017,049,590,386,924,831,846,281,428,034,884,906,731,228,948,
332,794,592,012,732,647,389,761,983,968,319,587,166,152,741,207,765,135,992,
998,922,379,755,685,954,272,599,367,018,630,648,059,870,863,530,614,534,118,
886,886,049,268,880,375,014,441,894,963,000,143,427,620,416,978,792,673,342,
353,475,633,892,757,019,066,903,361,271,722,527,653,998,187,813,037,183,652,
523,312,938,622,508,495,126,443,834,441,049,487,519,281,404,639,756,052,359,
561,732,842,632,075,783,915,305,753,712,522,730,512,836,161,330,580,619,264,
813,593,097,177,165,316,453,923,740,998,178,540,305,693,091,461,989,692,972,
221,372,446,486,485,578,234,671,522,725,844,282,260,266,072,491,494,357,431,
122,686,075,168,733,813,284,448,757,735,728,840,340,701,238,796,711,938,151,
677,559,906,796,784,725,669,047,271,329,124,645,772,280,656,810,755,729,821,
611,176,375,802,404,951,491,335,199,807,987,862,937,808,210,142,287,962,051,
929,016,922,524,785,226,718,945,800,928,625,783,398,796,794,117,316,692,680,
742,964,861,446,437,625,532,847,686,096,345,134,780,402,019,429,333,144,914,
119,180,665,471,345,060,428,631,683,739,768,207,661,060,670,915,167,176,728,
131,475,912,094,628,212,772,106,283,221,818,239,641,343,974,685,102,207,835,
320,095,976,777,662,137,495,385,141,611,277,590,414,814,655,859,357,105,969,
029,440,073,375,884,603,298,914,043,187,550,031,003,610,396,666,757,185,227,
041,782,725,878,836,733,118,430,100,808,289,056,094,822,157,390,204,861,629,
322,099,085,780,268,503,646,882,546,760,822,049,269,072,613,283,555,082,051,
634,105,516,601,385,823,958,520,248,158,178,693,077,062,833,186,146,932,159,
988,363,719,919,996,188,276,337,386,299,318,552,167,400,092,656,111,116,195,
674,951,032,551,265,465,607,297,283,029,263,583,632,574,598,669,813,535,983,
971,305,333,438,075,125,070,284,574,860,362,285,096,315,329,683,433,747,089,
758,077,357,407,882,183,143,051,165,582,660,131,310,165,761,325,711,441,756,
031,090,416,739,633,796,933,216,613,131,371,643,852,130,889,632,971,819,998,
946,219,660,032,336,290,831,606,725,436,220,713,858,314,958,278,160,224,325,
530,664,829,953,470,085,056,398,934,501,699,532,224,354,373,374,353,210,540,
964,254,435,402,040,488,444,758,343,325,131,410,251,529,427,072,917,279,053,
368,964,899,922,814,163,782,156,461,014,539,812,964,676,124,174,053,958,840,
243,924,692,696,869,264,474,580,621,256,100,116,925,927,232,411,185,727,284,
326,133,686,363,830,011,280,269,394,326,485,304,549,919,766,359,388,260,749,
538,341,356,324,145,655,228,531,144,688,206,394,097,014,236,506,125,410,604,
635,201,791,971,761,313,404,898,906,019,330,939,386,232,390,109,464,040,830,
031,291,521,711,307,727,869,095,249,888,109,958,078,178,074,720,462,061,642,
000,731,475,251,251,447,717,005,132,379,006,509,674,747,227,330,462,778,858,
996,847,350,003,912,269,123,232,261,667,463,227,729,334,487,496,628,811,918,
907,652,929,309,790,979,326,435,548,817,209,808,024,226,794,028,988,766,629,
308,031,254,983,914,860,613,444,121,273,899,330,144,463,231,625,534,745,798,
423,575,396,862,946,082,944,830,907,593,717,280,665,338,925,015,095,117,280,
128,528,005,209,373,403,582,248,230,701,294,455,811,419,268,800,447,702,632,
632,587,179,800,225,008,683,763,058,195,816,416,444,110,001,648,054,944,692,
201,565,790,894,189,493,590,413,738,732,184,417,503,461,149,097,628,528,389,
695,738,045,804,990,069,727,354,216,487,463,708,644,710,235,847,508,728,070,
424,150,033,294,396,354,627,955,561,216,056,263,078,688,687,214,068,313,913,
602,063,440,505,925,577,734,891,837,049,051,597,182,777,845,025,729,134,133,
838,750,659,007,147,218,450,256,322,882,437,280,545,288,848,114,817,012,699,
753,763,490,795,958,880,550,757,867,997,261,948,504,128,343,258,282,473,794,
740,542,750,590,483,677,951,734,306,034,276,016,999,809,964,332,979,547,442,
657,454,527,854,424,389,961,885,087,925,004,630,465,222,034,312,600,254,652,
555,451,739,521,023,132,863,450,908,442,028,547,021,126,082,819,845,248,314,
077,961,939,247,151,869,526,669,059,722,139,994,552,332,435,531,145,930,484,
664,298,502,082,386,537,073,410,674,107,477,777,738,412,624,920,966,205,613,
566,197,649,613,222,911,786,258,288,831,772,358,227,654,358,358,436,137,714,
973,445,786,561,269,220,746,486,715,624,838,789,353,351,882,856,562,563,576,
942,531,091,005,224,612,705,524,186,120,455,048,910,983,651,280,769,622,393,
008,257,000,950,910,658,018,714,191,054,436,768,091,089,023,044,856,784,246,
878,834,592,420,856,342,550,952,840,766,924,100,168,526,639,579,199,471,754,
221,890,244,593,204,139,629,251,953,672,128,924,061,940,269,222,790,179,422,
984,952,891,116,314,474,489,805,708,731,050,854,622,224,623,744,916,132,958,
089,777,578,463,075,170,406,528,739,665,801,241,872,702,365,141,197,800,349,
936,818,327,169,922,545,147,171,730,494,355,164,327,744,663,586,153,914,173,
422,647,811,659,653,543,380,185,267,626,930,506,853,363,783,119,204,106,900,
394,034,390,459,151,490,731,258,892,188,858,769,656,253,771,969,085,375,854,
872,098,776,641,823,829,006,486,888,924,984,488,991,779,440,914,555,138,602,
484,163,285,315,290,998,712,522,688,059,741,302,502,098,777,333,197,938,363,
867,712,381,490,011,756,468,457,661,921,324,574,789,220,199,239,721,468,166,
765,467,990,598,497,526,226,451,112,989,707,513,323,408,974,015,201,330,434,
322,239,744,672,016,459,708,879,652,772,067,227,448,284,657,794,110,904,263,
227,305,986,123,036,343,357,510,384,365,792,269,189,351,594,169,437,334,629,
173,311,071,207,905,356,767,106,451,849,749,796,455,949,863,939,807,697,636,
341,029,316,919,598,039,871,944,577,401,127,586,075,745,087,265,301,562,629,
508,980,824,307,164,336,651,448,450,175,443,216,126,973,923,939,065,018,491,
870,885,878,659,532,211,379,389,994,375,253,932,387,399,937,529,119,330,688,
846,804,548,302,422,469,562,907,076,193,508,337,458,918,348,140,476,397,649,
419,871,290,402,518,759,046,727,329,948,355,296,908,408,934,158,891,498,944,
609,932,088,378,443,370,035,332,080,667,288,262,690,869,807,115,172,626,680,
347,726,214,074,429,894,506,195,257,958,352,293,867,339,471,636,949,345,132,
955,832,546,172,071,241,005,629,864,645,925,459,650,183,333,299,135,831,875,
243,738,793,496,156,551,358,985,584,172,362,916,306,706,032,509,454,313,524,
737,048,240,902,170,492,427,606,921,659,805,735,132,967,121,993,285,139,082,
643,583,570,310,510,545,146,476,650,668,858,838,845,498,482,373,645,287,781,
189,589,734,125,545,511,529,291,487,292,968,102,564,433,967,644,914,366,919,
987,405,926,480,261,147,722,945,568,181,360,996,677,318,898,086,250,335,634,
916,048,867,593,332,316,123,015,703,119,358,288,601,100,877,306,789,528,748,
250,081,907,731,297,476,831,202,414,802,078,327,083,882,523,296,304,859,333,
795,920,662,700,655,569,769,695,152,959,714,689,419,292,238,476,307,075,966,
106,204,773,682,475,728,406,663,774,059,998,062,237,297,041,170,361,912,731,
365,041,674,891,782,497,218,240,803,436,344,031,589,561,883,788,708,559,383,
806,094,824,892,937,953,840,545,930,276,164,561,660,278,344,798,120,268,864,
858,127,869,175,074,543,441,530,150,081,822,753,918,046,917,785,662,852,030,
409,559,957,858,691,162,190,033,619,583,834,944,742,046,377,555,582,134,573,
409,469,626,188,907,156,357,823,696,094,711,558,924,039,224,688,049,867,514,
499,036,213,220,020,465,698,481,550,504,412,853,151,496,850,940,266,785,841,
252,787,298,812,235,216,557,333,212,126,349,037,066,986,818,827,900,326,720,
271,807,351,268,114,774,182,114,544,193,038,811,919,938,134,408,419,963,222,
316,642,015,093,870,945,725,562,512,551,704,274,679,887,647,075,633,143,313,
545,426,038,211,712,320,845,012,241,581,741,746,420,764,875,945,908,427,383,
368,696,796,221,133,951,175,590,770,962,998,298,185,770,493,669,081,624,639,
944,924,338,285,272,098,728,496,173,146,145,097,579,692,003,244,161,286,271,
485,015,698,057,173,204,474,468,314,721,864,284,815,747,738,725,405,129,362,
239,172,401,294,123,257,327,642,274,600,267,666,100,135,346,296,420,760,809,
355,125,203,710,353,607,434,529,536,956,292,359,767,484,703,977,632,837,412,
196,020,025,905,426,614,390,440,988,227,204,048,985,589,173,595,996,352,396,
072,438,510,177,267,874,542,936,866,976,073,241,184,160,805,790,518,397,261,
146,872,112,555,267,817,002,418,610,108,681,030,439,459,942,366,793,988,830,
971,399,860,054,685,174,405,945,954,069,574,246,536,644,863,171,089,247,387,
167,842,843,063,857,673,063,836,541,574,432,716,592,477,386,407,233,763,085,
255,439,481,077,720,001,030,572,638,362,363,285,920,853,307,865,006,832,386,
260,397,623,464,539,100,716,239,794,868,947,166,364,654,119,119,058,933,225,
053,970,958,559,357,779,098,818,877,800,418,784,887,379,690,278,958,767,790,
868,265,240,576,434,647,023,374,572,162,323,972,612,781,267,977,255,164,247,
056,844,015,912,452,446,035,885,998,050,712,790,230,807,673,971,255,624,514,
061,178,591,496,543,217,281,481,981,480,679,381,215,133,340,479,008,084,988,
798,619,195,354,290,854,820,085,109,292,507,531,821,916,186,301,477,057,368,
675,821,100,543,753,903,691,912,953,802,804,336,817,578,596,532,737,717,568,
108,801,823,837,860,224,200,584,352,607,192,122,250,261,641,761,678,176,610,
034,106,558,655,365,576,201,291,822,002,285,868,875,639,401,111,277,155,530,
053,883,755,575,385,639,284,360,463,614,342,723,284,150,018,105,794,195,316,
095,812,764,217,317,378,757,712,231,391,169,083,067,370,677,207,972,195,601,
894,734,382,183,863,475,265,799,284,399,029,443,542,191,554,628,679,519,879,
004,203,784,808,082,850,243,137,032,995,659,315,384,041,672,255,633,496,505,
827,844,286,131,713,004,186,075,943,216,740,288,903,064,935,343,704,205,281,
448,494,694,704,912,063,822,491,866,737,182,512,596,930,945,354,005,323,344,
203,029,881,353,836,813,806,716,343,008,571,602,285,678,252,573,823,263,947,
118,825,361,513,374,355,921,787,584,202,874,434,427,426,403,371,767,260,881,
554,032,626,968,104,722,739,736,156,489,989,306,639,012,448,363,538,526,126,
237,768,009,829,080,694,763,552,190,821,166,749,829,726,962,598,126,013,613,
998,619,575,857,683,259,688,527,298,381,018,224,240,309,955,100,402,110,803,
681,127,249,357,537,133,576,629,787,120,441,640,131,113,549,078,845,861,928,
052,932,062,360,726,260,375,936,580,313,299,137,311,565,471,510,337,583,111,
703,152,444,169,401,330,533,065,423,253,129,880,136,240,312,256,895,098,295,
794,996,240,908,734,729,035,703,659,437,141,022,323,462,089,326,497,552,144,
374,331,271,293,360,832,070,754,753,430,738,539,968,890,908,342,855,764,282,
498,291,252,047,810,233,882,316,089,223,506,195,370,829,795,300,825,941,794,
808,677,987,773,378,796,274,445,725,181,410,309,263,979,269,102,880,881,449,
274,362,360,964,667,940,517,994,890,182,878,798,036,842,172,082,911,323,106,
453,566,701,780,358,089,969,262,682,699,296,718,310,647,258,369,539,085,205,
513,632,666,395,265,323,396,518,552,562,323,070,540,944,413,475,261,381,003,
493,725,939,403,256,187,924,129,783,960,041,505,963,644,424,334,265,809,380,
873,894,226,125,767,239,528,286,202,375,502,610,264,189,007,520,013,048,273,
720,474,414,328,539,419,570,317,772,610,080,702,164,434,586,756,009,740,516,
867,958,799,149,209,812,138,502,033,546,893,075,798,316,921,789,829,506,797,
793,738,791,558,413,977,276,385,870,721,824,528,125,893,088,529,617,386,258,
294,492,421,229,896,525,401,986,313,657,818,659,448,610,962,603,050,261,054,
452,475,401,122,073,593,642,122,252,954,214,655,656,689,938,263,031,033,946,
076,327,351,457,588,216,190,518,319,565,456,004,338,350,403,262,339,321,860,
136,631,682,531,081,773,961,199,944,389,222,351,883,477,324,615,245,406,630,
666,742,767,448,246,197,769,477,677,956,042,870,611,204,449,125,015,935,015,
287,404,040,296,065,721,629,690,226,208,742,091,525,533,953,417,150,334,103,
678,737,037,642,320,374,463,225,136,600,102,480,950,515,210,606,762,625,545,
558,114,500,979,323,618,974,793,997,422,354,701,172,751,827,100,086,960,581,
547,697,634,383,538,851,936,934,434,013,744,734,518,767,621,081,842,687,528,
272,387,699,442,667,093,133,111,787,208,142,487,154,813,052,082,604,502,530,
406,635,739,147,544,088,180,732,797,888,466,506,097,092,064,539,506,268,652,
874,942,569,258,427,778,787,559,670,172,464,402,674,666,468,113,278,394,425,
163,376,071,962,663,565,243,689,356,470,621,394,012,097,450,400,464,777,881,
577,518,252,086,872,749,488,715,727,528,083,498,538,511,210,921,485,153,404,
061,158,938,652,505,438,976,209,650,078,806,395,132,944,660,882,969,841,771,
785,992,318,061,409,883,629,700,311,780,058,574,813,475,838,498,391,775,351,
718,661,299,576,879,945,184,552,615,866,634,017,769,036,041,835,099,258,328,
257,555,125,357,846,110,333,410,637,780,686,784,029,776,440,185,212,745,256,
104,471,509,972,756,619,738,149,471,609,734,215,188,885,959,248,922,162,534,
694,345,300,718,869,020,162,244,116,492,087,094,480,337,159,320,589,765,433,
771,279,859,427,836,466,131,250,270,473,269,112,494,893,125,089,262,024,891,
000,265,997,673,897,371,299,149,048,570,445,832,100,127,659,298,962,695,916,
369,405,695,770,333,885,714,567,159,142,210,906,037,825,326,477,420,593,351,
046,169,631,090,921,112,143,915,016,498,848,047,728,661,881,655,921,298,195,
232,541,755,969,397,018,465,560,491,233,552,004,267,650,035,891,063,060,839,
947,755,146,377,121,774,855,226,168,821,356,466,157,953,037,817,628,722,180,
674,096,640,390,871,493,681,694,721,577,645,494,379,767,549,516,963,546,853,
558,026,708,645,909,345,409,416,694,343,350,698,340,195,012,422,006,405,163,
933,592,634,695,235,044,227,673,198,265,772,460,932,199,166,675,778,063,591,
439,083,628,400,024,740,100,096,563,818,092,629,429,202,273,883,813,437,429,
874,409,937,888,431,867,276,906,670,786,097,844,576,268,215,883,422,482,967,
903,114,485,731,325,393,871,577,292,710,573,446,873,301,125,691,577,704,081,
112,230,892,579,709,744,453,515,735,882,157,724,286,939,389,235,339,200,891,
879,128,494,885,464,464,558,530,697,683,967,818,022,009,660,749,144,421,112,
296,250,812,997,764,182,539,437,172,716,716,511,718,537,986,656,594,212,854,
708,064,893,293,156,169,253,537,743,863,239,210,737,724,127,065,722,186,472,
539,939,655,493,171,726,395,955,134,109,086,240,333,938,654,832,648,023,468,
185,797,650,019,459,082,367,180,395,852,278,127,053,558,982,308,053,441,221,
066,653,720,430,821,504,848,958,806,690,583,351,209,742,411,065,181,097,732,
038,842,758,150,586,018,740,735,375,858,146,354,093,122,711,492,280,753,525,
498,217,013,133,747,324,568,271,728,998,642,447,031,779,133,759,074,729,704,
582,034,663,955,184,091,675,686,929,203,715,630,410,808,070,920,778,719,856,
633,229,183,359,922,952,698,376,832,864,789,066,492,411,817,636,535,667,159,
923,338,402,702,218,547,083,561,386,094,013,059,949,724,051,315,478,700,900,
742,563,515,899,576,657,043,352,996,726,470,415,987,510,749,332,444,378,256,
746,148,064,554,166,710,929,087,036,137,003,390,606,317,343,057,872,156,820,
419,477,879,362,505,207,133,529,291,615,100,894,755,032,389,929,986,137,446,
575,135,388,773,764,385,883,087,603,137,932,058,340,152,037,347,442,749,572,
743,171,769,188,660,771,000,974,773,234,967,556,718,000,046,981,554,391,574,
827,246,991,183,975,710,908,985,697,646,293,713,109,368,737,262,584,090,068,
716,347,515,045,635,221,520,221,601,302,293,651,433,065,307,168,363,202,424,
250,391,723,840,133,293,081,917,985,216,031,054,372,518,881,328,264,973,139,
932,241,390,994,601,153,765,063,889,917,098,078,844,983,450,548,664,142,092,
798,719,357,018,574,975,483,515,690,975,110,049,651,456,424,976,643,222,879,
682,949,177,210,654,150,653,700,530,464,679,028,675,231,218,593,096,233,905,
053,368,182,357,886,289,618,179,526,726,095,814,250,139,143,899,671,557,438,
321,393,913,349,238,899,285,122,945,166,197,929,723,737,760,732,578,638,311,
839,534,071,119,050,295,580,493,893,097,938,065,715,997,707,634,984,364,172,
268,757,170,992,932,263,379,296,714,040,084,219,917,347,986,366,839,022,432,
053,877,180,333,973,776,120,903,269,130,685,727,762,610,165,816,569,122,630,
409,307,809,185,064,720,293,716,125,523,549,600,501,464,173,563,829,744,096,
344,976,406,785,922,172,139,690,227,593,027,260,834,388,408,887,067,390,734,
248,909,522,975,539,728,054,052,087,931,599,057,858,763,758,031,435,427,242,
819,316,542,336,397,051,022,546,613,489,830,367,660,850,048,033,084,882,124,
126,709,428,404,391,736,970,343,732,616,561,905,730,649,281,760,381,904,630,
709,790,313,692,231,744,164,317,697,333,911,324,866,950,745,070,345,533,603,
474,311,267,206,804,368,168,052,293,898,226,708,076,682,855,366,813,509,286,
352,279,881,878,966,109,813,100,064,101,871,247,269,324,911,177,453,270,551,
968,291,045,677,568,508,004,792,933,548,001,372,206,328,400,566,416,816,800,
285,830,540,074,788,685,185,181,523,243,596,384,190,412,701,317,345,645,723,
916,055,562,759,812,459,624,760,733,121,185,986,634,498,763,488,050,316,768,
921,557,071,578,210,217,000,990,430,464,363,180,001,526,741,096,514,494,603,
220,330,213,012,693,277,173,735,393,050,545,418,952,369,859,404,614,745,021,
917,335,148,324,807,060,286,055,495,398,165,006,986,589,321,870,431,327,921,
657,064,083,320,494,167,046,707,048,543,315,707,239,514,254,901,443,474,465,
937,228,397,910,728,391,345,524,256,851,465,319,195,090,603,323,874,784,452,
972,291,651,377,140,739,036,044,522,878,443,391,204,593,723,753,073,207,482,
149,956,093,225,569,447,596,608,639,875,081,597,253,908,343,566,334,832,746,
482,503,513,927,033,230,541,336,870,382,866,924,300,749,405,311,931,153,612,
461,503,212,076,171,397,063,690,430,772,786,682,860,625,171,751,957,400,661,
391,389,388,793,647,497,229,135,047,148,376,601,674,289,560,100,099,425,009,
183,632,214,661,248,578,203,024,832,273,099,525,674,944,164,396,664,120,022,
295,019,517,305,898,888,612,193,044,504,722,155,103,360,393,186,012,021,044,
108,538,397,921,714,571,234,290,615,498,445,709,111,692,379,720,388,946,659,
312,198,120,553,912,928,804,167,992,081,255,201,489,772,794,335,664,085,182,
995,529,886,289,009,542,939,977,147,738,793,990,996,636,257,151,521,072,437,
220,000,039,450,676,153,496,046,568,471,800,239,157,822,115,558,994,699,814,
721,272,853,806,545,710,612,830,833,882,553,882,834,177,638,284,561,130,442,
503,436,029,399,275,026,322,094,482,406,085,778,138,488,861,677,225,106,452,
499,851,109,161,727,812,269,420,326,754,493,897,993,834,707,646,197,389,375,
781,424,961,541,150,169,522,024,417,809,396,856,847,434,069,674,784,635,572,
021,202,615,534,432,866,304,391,175,243,669,864,147,687,399,223,981,183,330,
774,749,587,990,678,045,453,909,867,979,516,696,167,973,009,630,955,547,313,
632,831,845,273,807,102,919,916,851,893,544,532,217,114,656,981,385,493,164,
520,426,453,544,690,454,722,075,994,421,302,076,716,612,549,835,162,288,789,
571,500,382,342,133,999,461,915,098,670,808,687,985,395,616,781,627,003,708,
231,683,796,673,176,618,647,336,049,976,140,480,987,897,607,542,247,492,690,
270,293,080,571,827,751,214,953,661,704,736,826,661,033,722,328,081,594,060,
295,642,915,923,819,932,088,465,400,317,024,813,152,589,733,919,481,650,986,
854,000,065,989,245,103,988,748,887,162,995,578,126,036,054,713,817,297,080,
008,502,165,451,159,972,296,130,148,009,656,153,810,890,451,756,420,600,254,
537,906,076,680,000,018,433,079,732,794,932,204,032,522,882,854,603,688,242,
536,227,795,277,247,831,189,214,068,554,691,104,800,520,407,459,549,847,012,
116,643,283,539,820,431,199,210,541,173,758,775,191,638,597,487,917,849,379,
206,759,034,886,035,146,397,570,179,705,509,997,790,087,740,843,035,417,807,
896,820,797,577,961,031,300,724,927,815,824,102,747,858,592,885,443,968,681,
155,346,219,635,491,218,012,867,487,584,577,406,044,210,471,294,563,508,425,
842,063,127,752,405,443,668,023,923,563,370,673,184,385,774,368,965,367,050,
894,779,458,057,372,994,467,958,341,179,967,891,979,905,917,488,762,707,594,
818,360,321,243,055,475,130,495,734,902,706,412,826,149,048,052,220,978,247,
911,919,124,664,113,883,781,934,642,194,149,765,120,797,134,272,107,037,586,
037,433,211,774,174,873,516,015,606,749,540,746,279,409,678,226,784,341,894,
829,638,963,542,145,173,332,619,297,318,872,211,439,691,860,190,184,073,127,
357,800,446,895,467,181,696,529,485,095,881,549,135,743,192,909,557,412,549,
432,094,815,766,743,028,730,466,193,024,410,160,811,875,400,508,856,890,021,
646,899,332,754,973,916,109,362,962,075,638,985,925,895,072,240,669,938,967,
983,396,343,148,620,261,618,397,473,098,020,597,294,532,155,554,206,378,237,
852,372,554,824,648,341,698,972,065,691,569,435,837,588,237,509,132,398,307,
617,515,718,675,816,142,609,545,282,313,936,382,774,951,379,735,387,392,455,
690,671,893,019,844,859,572,699,375,979,610,991,528,387,951,936,619,109,252,
442,778,676,634,415,050,162,262,187,620,717,990,076,461,076,065,944,121,439,
882,699,616,932,665,075,015,364,129,889,751,342,332,815,221,030,595,579,719,
737,347,885,667,717,666,419,836,753,702,312,401,029,078,920,357,080,385,709,
468,560,420,879,823,775,961,077,906,353,825,993,161,025,349,337,881,602,314,
577,720,261,733,648,421,572,566,048,115,307,095,863,277,920,158,525,890,429,
383,098,329,754,151,532,782,678,059,412,613,808,309,742,409,059,387,379,739,
469,857,437,109,587,976,705,043,884,772,074,285,683,900,692,788,932,626,841,
555,510,235,076,074,729,605,675,256,367,271,791,111,550,850,103,967,942,947,
382,000,651,568,433,186,264,885,795,884,467,953,365,827,109,384,265,600,266,
930,056,209,500,308,360,026,122,347,730,230,217,854,666,543,158,776,523,017,
690,687,440,888,789,353,099,754,518,178,522,524,890,316,516,333,010,595,316,
117,598,660,727,741,946,370,894,436,488,625,582,456,357,367,091,474,710,225,
137,050,732,307,360,644,886,556,798,901,855,579,058,845,298,177,905,762,796,
760,361,418,897,413,341,915,193,597,707,870,997,842,951,849,110,090,526,089,
046,415,501,156,759,102,179,602,690,129,525,314,630,547,100,893,480,024,901,
524,917,841,850,452,404,425,397,403,940,386,818,188,802,789,261,252,358,000,
977,119,427,369,394,323,959,498,601,630,591,637,253,116,389,725,193,370,405,
538,960,072,696,007,350,833,975,646,309,909,420,988,487,171,643,040,976,755,
576,875,261,840,019,163,516,736,462,267,004,752,734,637,220,988,189,231,197,
687,288,733,696,644,631,570,995,624,808,258,040,297,362,206,295,236,631,350,
273,896,223,190,313,874,426,673,756,006,149,724,916,478,920,650,741,186,885,
768,317,796,425,613,944,039,687,180,841,844,352,421,428,097,425,785,152,258,
463,510,277,459,956,160,486,876,029,089,096,412,697,408,435,330,025,072,172,
088,495,870,153,858,917,194,244,358,448,452,651,847,004,522,648,570,420,522,
103,524,239,826,106,459,259,667,285,159,815,503,379,952,462,411,913,391,783,
272,747,487,058,467,919,378,911,300,362,284,574,224,132,192,674,572,582,241,
716,038,440,186,392,686,145,388,414,436,934,031,554,374,479,431,218,487,596,
251,349,184,868,608,070,684,801,348,965,218,397,050,668,659,791,367,552,058,
811,630,215,315,422,051,864,911,508,104,098,322,781,676,540,189,444,480,041,
572,066,246,641,439,568,066,701,018,361,498,685,881,061,103,463,728,644,520,
392,306,431,420,795,334,200,231,122,466,753,431,250,495,111,996,053,997,965,
698,629,401,060,671,422,716,861,120,856,173,569,096,320,461,376,294,159,047,
053,931,221,674,590,918,249,472,900,897,618,974,680,185,802,431,154,164,925,
184,504,934,730,478,138,093,989,337,891,834,631,435,378,834,581,633,086,454,
751,116,854,218,409,523,062,092,275,632,421,968,661,938,985,298,154,824,152,
642,968,770,425,850,495,930,865,794,841,950,376,912,322,574,771,694,112,081,
115,609,010,530,618,030,276,719,045,966,615,597,108,511,030,516,150,589,125,
108,356,772,470,115,253,203,010,347,023,678,471,094,575,261,560,531,505,707,
782,106,816,659,500,345,501,314,004,484,452,576,861,777,151,330,628,669,036,
885,553,978,570,610,454,665,482,360,229,252,105,295,518,204,676,828,042,835,
771,207,261,405,362,023,958,815,077,001,004,083,831,741,938,457,916,015,517,
936,577,794,427,186,485,667,336,735,678,881,331,188,167,208,581,064,987,749,
544,279,906,271,020,958,185,040,599,219,555,210,222,952,823,234,053,153,683,
977,356,409,560,010,310,475,963,865,225,719,449,230,790,583,748,146,345,777,
389,755,436,753,663,732,905,022,691,312,316,776,795,278,961,392,070,189,140,
468,059,009,240,067,983,554,360,820,662,327,863,349,212,446,910,055,133,436,
159,409,427,742,760,572,757,217,424,379,248,564,416,624,848,133,856,667,424,
681,771,929,825,281,491,687,525,977,515,028,787,440,691,634,654,893,094,600,
919,031,286,479,687,423,267,785,034,018,531,422,166,498,358,666,016,966,161,
466,729,500,172,638,266,460,907,556,485,516,393,356,316,355,350,263,898,290,
062,170,661,776,208,210,311,010,276,340,100,376,203,023,366,467,983,517,447,
125,606,426,739,622,640,297,464,343,242,603,052,015,457,578,614,329,750,881,
973,736,887,203,517,200,809,893,293,447,952,209,604,110,905,330,759,543,153,
459,395,430,635,885,039,229,846,310,038,894,085,127,814,220,535,556,817,078,
152,478,067,596,612,166,883,047,199,251,138,441,387,749,723,046,062,124,078,
034,636,836,915,774,678,692,904,634,567,860,836,464,191,871,731,791,336,076,
563,272,122,728,827,590,520,288,502,140,345,338,442,884,005,917,684,919,408,
885,592,197,491,887,978,269,060,305,986,278,626,777,252,789,984,922,628,184,
212,790,318,888,515,422,950,847,761,430,222,082,297,947,068,178,652,253,331,
194,448,602,078,286,141,444,174,898,292,896,398,075,278,026,051,607,706,607,
856,597,136,574,887,143,173,634,850,373,769,603,935,404,128,109,557,941,784,
492,212,254,329,431,398,416,037,948,918,497,037,805,458,778,051,146,914,965,
587,511,166,609,404,691,817,174,839,603,130,743,535,687,066,527,945,350,757,
537,642,054,340,642,167,638,278,742,663,955,279,229,151,365,859,931,300,847,
056,962,433,127,858,300,230,419,026,837,986,349,834,304,152,960,053,955,655,
114,536,956,754,893,803,367,615,087,969,720,985,822,861,928,970,015,981,966,
627,502,381,825,233,610,582,745,094,726,284,006,041,270,224,024,774,526,918,
179,982,797,547,988,667,872,762,068,238,164,628,224,008,486,434,491,429,731,
143,721,330,041,576,277,976,693,259,942,391,337,959,008,617,727,841,203,992,
936,433,086,579,580,147,142,668,784,035,048,968,062,211,601,209,375,399,147,
245,736,392,371,211,981,019,156,443,168,247,836,952,624,727,127,335,291,113,
172,520,318,387,861,286,599,896,917,031,988,367,109,058,054,366,690,606,160,
464,038,637,391,196,395,050,312,252,235,627,041,409,755,172,417,345,274,422,
114,629,239,233,553,230,509,068,583,962,448,219,344,907,578,277,116,822,246,
401,459,028,900,323,922,347,855,283,010,230,999,922,701,694,406,238,657,553,
530,290,939,826,983,366,350,557,192,119,227,663,484,006,511,989,408,619,877,
113,651,095,561,154,575,939,469,835,979,412,925,983,826,242,479,504,603,071,
020,585,754,287,593,763,795,992,029,275,968,518,846,851,909,831,462,170,744,
975,276,839,407,858,484,555,821,594,045,800,376,442,613,929,049,360,472,754,
985,806,251,421,760,965,827,024,364,115,613,502,472,047,742,136,496,766,715,
964,532,012,733,636,731,530,999,636,120,994,204,579,618,047,936,033,875,263,
434,367,339,296,047,093,945,841,306,605,787,100,310,189,007,957,530,899,903,
308,728,435,464,654,463,081,689,498,743,854,801,991,957,218,858,181,446,892,
883,368,384,525,790,081,600,609,429,419,724,414,654,824,341,297,141,895,329,
011,475,804,310,857,225,795,711,778,007,938,880,783,861,654,057,637,547,763,
223,753,990,780,787,547,688,172,107,943,379,296,659,831,439,224,119,858,816,
576,492,144,179,531,011,007,951,153,021,976,223,144,685,145,425,534,607,211,
749,086,256,863,532,376,785,876,780,102,276,011,668,587,270,134,033,041,292,
666,051,619,920,534,799,621,085,432,219,477,255,579,627,878,360,421,584,617,
218,515,997,896,244,210,321,469,922,523,362,123,554,782,970,142,294,325,336,
086,067,096,399,316,021,549,977,433,371,726,596,065,772,377,818,304,359,235,
848,680,926,601,848,961,640,753,441,755,523,762,522,657,337,724,966,458,475,
352,893,787,570,198,092,871,240,933,128,608,550,117,062,476,166,933,042,743,
589,490,724,946,909,583,192,512,072,425,440,698,115,875,393,287,380,077,069,
999,542,078,996,449,599,776,063,008,838,975,924,207,898,929,217,310,659,519,
317,408,657,582,643,881,621,538,063,332,131,216,023,917,054,711,738,264,145,
494,857,236,554,713,827,328,002,551,824,422,069,988,673,323,981,298,454,747,
528,244,354,344,818,987,409,406,731,678,307,760,181,517,005,751,007,581,713,
822,249,952,483,832,817,029,691,903,138,536,886,935,166,431,112,006,540,980,
001,343,244,724,917,874,451,534,411,324,881,756,794,930,277,918,414,593,782,
604,303,934,135,670,669,832,649,751,130,580,136,731,535,041,276,561,815,654,
380,865,853,999,456,575,975,442,970,614,750,434,443,506,392,787,621,315,124,
063,249,077,605,562,028,532,693,735,063,739,891,645,618,233,495,598,490,570,
947,144,561,602,871,880,723,794,278,621,948,361,537,157,526,618,069,554,748,
416,116,468,760,124,860,525,893,630,958,054,161,274,241,830,291,921,366,258,
691,579,026,422,249,767,743,501,544,831,180,337,855,107,574,166,764,710,714,
159,087,751,313,282,041,097,116,021,343,582,867,821,870,912,282,242,061,034,
624,149,360,520,365,963,464,401,797,556,157,414,608,578,711,742,885,465,789,
856,194,388,608,007,567,874,178,344,601,151,494,587,514,074,299,189,167,534,
310,667,683,213,043,351,680,034,819,126,852,639,413,908,264,086,676,612,659,
420,688,170,952,398,978,672,883,274,310,899,345,455,748,175,050,768,043,189,
812,400,484,741,993,789,038,711,661,003,738,715,067,558,979,748,196,331,947,
727,361,411,197,469,002,565,075,185,732,855,600,167,391,716,659,165,069,216,
056,105,800,351,483,513,527,946,713,668,289,743,838,337,604,578,516,862,703,
855,127,054,238,027,280,498,030,089,297,004,936,540,914,540,101,890,952,303,
974,600,375,275,446,191,752,806,455,354,828,938,327,183,549,458,082,099,166,
422,954,910,130,550,851,479,260,071,916,025,290,767,632,057,333,545,177,100,
747,361,328,874,319,696,623,361,321,162,785,367,588,243,926,748,044,391,609,
358,834,196,158,200,310,951,140,640,272,963,342,680,939,623,850,036,292,843,
808,582,763,844,378,506,157,966,255,106,891,296,083,535,175,844,776,216,144,
115,938,118,137,898,176,369,981,531,017,745,935,213,164,861,560,480,774,954,
307,629,342,883,169,129,288,383,060,005,944,927,256,225,509,543,570,591,778,
226,209,605,883,854,047,500,776,917,560,880,789,990,536,049,557,138,975,143,
264,627,192,560,687,868,446,464,342,499,101,315,116,386,583,335,635,494,462,
757,847,750,509,048,176,450,246,037,737,725,894,966,954,903,312,874,141,036,
494,896,187,835,884,618,897,415,058,252,696,338,877,846,955,635,996,281,230,
430,111,372,350,855,286,331,943,284,571,369,963,480,692,136,813,611,180,312,
342,645,534,204,886,742,991,757,406,753,325,519,107,709,339,246,954,972,055,
355,368,572,860,654,715,540,762,288,747,987,014,682,434,797,995,719,309,798,
801,611,310,995,757,728,717,006,359,359,257,817,986,634,349,746,357,273,522,
669,551,630,019,991,720,347,218,443,322,809,094,445,540,985,857,461,785,975,
779,460,579,488,213,518,486,214,639,518,078,155,174,517,163,398,975,801,270,
212,324,993,247,163,599,809,284,020,942,110,318,146,147,114,178,722,783,292,
112,728,537,729,664,141,602,444,318,316,043,013,264,992,846,211,336,562,381,
248,462,646,648,700,781,945,127,539,123,515,246,266,287,977,414,353,291,469,
947,121,053,011,392,854,433,185,233,545,497,498,544,084,043,744,236,599,385,
931,761,633,878,402,037,162,240,983,489,396,123,368,649,207,613,264,961,049,
268,829,849,382,123,992,955,915,749,682,394,164,621,013,174,834,793,420,514,
889,332,559,663,440,410,529,499,766,645,315,402,768,643,350,049,081,494,040,
921,084,857,667,746,397,455,969,526,828,950,138,093,815,759,592,490,471,868,
394,458,610,152,311,383,539,387,061,721,173,243,455,490,267,235,392,394,780,
849,962,030,811,349,438,365,675,385,326,211,241,218,066,885,596,086,456,388,
484,663,874,017,319,084,159,186,905,180,691,314,253,612,476,648,680,889,288,
317,188,032,212,331,130,511,204,187,111,657,253,938,307,322,570,355,188,638,
303,534,742,453,718,668,897,615,000,196,740,352,492,432,375,296,676,977,123,
961,613,880,981,275,924,645,954,689,025,178,459,934,086,063,869,896,657,450,
478,709,189,285,723,503,819,513,968,693,786,615,513,752,880,628,264,332,465,
021,977,048,283,728,621,914,240,550,136,755,175,531,183,494,248,137,188,876,
295,780,378,997,439,418,848,466,850,107,292,318,883,142,359,991,398,818,477,
123,020,007,385,480,162,001,246,327,074,025,685,527,720,004,727,941,621,273,
079,409,384,609,183,880,118,698,801,780,714,040,603,913,352,022,179,638,621,
868,158,713,224,854,733,624,086,608,904,596,785,232,236,443,412,557,991,716,
407,667,092,895,839,764,714,129,791,679,838,172,563,030,157,637,153,324,719,
720,168,576,266,761,731,922,474,749,699,105,051,917,263,618,235,055,096,004,
045,659,557,624,673,457,894,560,803,884,367,277,342,545,331,605,527,204,517,
435,657,556,368,446,430,244,897,966,831,833,335,476,229,343,628,957,136,674,
841,529,522,527,412,234,204,839,009,102,921,882,867,990,365,591,286,098,656,
937,935,192,240,482,189,850,258,400,543,759,034,228,401,335,934,188,631,198,
617,797,721,397,165,949,379,651,787,505,168,913,972,932,449,943,223,031,466,
390,590,451,806,619,392,947,499,059,822,471,890,364,287,475,176,132,484,291,
164,891,162,088,453,067,687,004,156,198,101,544,434,701,667,945,662,217,879,
067,159,768,408,413,637,769,248,301,488,580,567,056,444,173,273,180,938,985,
713,834,107,624,191,885,900,431,992,264,988,964,998,587,518,367,595,278,054,
046,404,923,991,131,932,561,684,608,628,448,154,997,151,878,885,261,280,625,
772,608,005,686,573,567,377,268,019,646,577,866,608,465,678,412,699,743,625,
377,746,733,413,354,400,881,658,036,005,349,769,616,526,458,746,620,765,580,
468,783,122,173,994,982,925,343,037,496,722,020,635,258,859,909,074,126,485,
239,365,827,902,541,091,921,235,961,044,109,087,957,404,182,694,078,059,876,
586,842,480,760,824,721,453,385,463,818,891,711,397,019,683,124,661,213,513,
925,499,990,166,411,032,609,647,723,703,351,602,339,181,148,108,660,999,003,
342,779,013,343,442,616,714,207,872,723,157,583,380,556,813,239,651,233,882,
456,909,826,869,464,257,122,352,354,587,264,093,846,026,218,141,937,061,425,
714,571,311,511,876,360,683,592,600,597,334,794,748,298,454,969,502,794,091,
436,512,604,169,843,519,987,965,729,647,172,460,382,883,994,029,834,924,507,
705,840,083,308,759,627,568,977,174,562,861,860,691,430,957,729,860,686,629,
213,308,700,724,676,056,456,579,854,947,634,149,318,619,908,600,321,607,474,
399,654,644,778,199,795,988,211,393,147,258,405,575,916,978,260,766,919,933,
314,060,856,053,276,492,807,572,710,259,780,868,698,648,139,116,145,320,935,
132,908,932,427,094,381,835,511,730,875,877,984,802,296,079,716,513,120,705,
636,484,683,988,235,079,700,607,182,219,467,747,589,623,293,886,132,359,091,
814,743,819,598,289,782,966,058,124,067,225,386,705,210,510,899,223,123,247,
294,123,631,998,069,993,295,379,440,572,413,310,401,283,673,445,659,248,694,
268,597,727,496,833,972,725,704,291,802,958,938,587,938,565,499,704,967,219,
358,540,819,276,732,223,527,457,184,131,808,913,725,880,902,694,029,105,785,
430,668,558,243,728,330,858,305,555,494,680,117,039,241,006,833,922,732,162,
210,379,889,209,495,623,675,078,519,632,110,308,706,463,423,806,525,566,063,
854,951,179,843,808,768,143,735,310,081,969,561,865,871,029,273,753,119,141,
799,020,555,088,069,080,527,839,104,362,076,423,459,042,201,540,323,385,830,
980,415,415,894,584,101,052,742,070,462,810,495,120,030,935,945,588,344,730,
159,670,856,379,855,203,371,621,505,381,068,517,218,773,594,068,671,107,553,
575,467,420,870,074,590,757,351,859,434,880,950,312,421,350,930,379,553,763,
569,245,485,125,726,403,689,264,391,632,640,599,321,208,635,686,671,489,410,
831,961,877,020,013,503,008,737,960,338,404,596,438,911,304,768,057,697,847,
016,272,625,068,532,827,654,134,518,512,035,693,958,793,543,494,835,825,264,
025,246,396,674,785,238,493,212,241,371,519,102,535,245,009,049,953,338,218,
651,839,809,157,168,001,550,579,875,410,688,777,219,094,803,864,268,525,312,
887,031,292,409,148,026,304,894,521,115,345,616,269,183,246,598,433,437,359,
640,437,453,134,431,984,767,447,426,951,132,444,119,629,386,555,402,695,819,
127,786,049,329,745,232,718,850,976,195,294,308,691,625,374,291,398,780,065,
143,852,264,220,723,735,320,151,339,099,023,797,519,714,422,222,428,965,937,
651,669,549,809,257,398,456,625,093,739,370,792,818,451,381,330,140,857,928,
124,050,214,526,778,351,338,157,771,710,609,307,012,074,118,145,303,297,352,
251,155,154,139,702,348,414,408,880,948,202,633,311,410,610,310,980,825,449,
551,982,874,922,527,983,112,584,410,826,943,863,752,977,911,963,926,612,175,
334,654,522,997,609,889,360,669,401,964,473,694,560,359,589,127,004,463,090,
582,038,053,222,285,081,614,051,229,108,838,684,782,582,851,874,088,288,635,
752,420,255,510,354,394,700,628,386,919,176,763,617,958,754,977,675,793,947,
704,354,534,317,323,207,190,289,269,960,097,331,036,955,850,628,100,129,378,
371,834,424,416,569,481,779,096,800,157,830,904,377,424,973,865,799,989,318,
409,724,954,099,283,610,111,301,775,575,879,169,565,258,693,488,899,117,303,
649,292,398,763,624,913,525,835,819,304,434,334,641,249,770,347,072,423,775,
134,242,137,300,484,581,054,417,165,939,417,292,658,371,725,389,350,538,768,
525,604,041,206,381,794,591,071,834,473,333,848,023,434,956,141,674,284,009,
382,526,936,648,103,666,103,249,951,849,199,861,945,412,398,990,741,177,912,
659,259,447,204,526,522,582,309,964,820,721,040,345,559,705,089,135,760,920,
548,934,836,977,788,719,202,942,317,461,186,781,648,432,955,811,473,577,316,
035,946,391,755,096,327,415,761,286,696,264,276,098,040,059,353,384,900,625,
196,776,390,470,018,744,363,318,780,897,739,578,672,466,616,787,917,601,619,
718,018,747,292,853,397,806,811,295,711,196,567,859,728,602,744,270,313,355,
242,908,344,672,273,818,526,378,426,983,498,042,645,432,047,951,871,257,908,
309,882,357,968,524,759,615,343,671,188,365,536,800,093,115,237,568,558,215,
863,419,044,583,844,694,044,215,717,633,031,938,698,201,630,998,434,132,030,
095,319,602,470,493,585,347,878,076,159,160,661,472,941,164,945,340,212,516,
328,111,482,913,031,248,686,787,565,523,849,950,681,785,399,106,786,455,589,
795,082,065,392,185,606,933,332,937,342,990,496,478,923,350,042,632,420,178,
103,982,188,386,335,128,399,397,204,955,897,624,822,007,430,027,320,799,873,
597,028,169,161,030,094,009,332,506,787,187,337,726,928,631,327,903,190,024,
286,207,476,133,551,316,393,871,972,128,113,009,888,877,002,862,187,816,045,
088,843,232,002,487,398,749,640,394,383,278,786,614,668,264,585,459,164,164,
585,717,651,100,089,981,978,643,188,298,256,667,727,909,622,289,709,146,393,
205,466,794,744,879,246,405,246,367,214,080,116,416,003,430,141,255,018,950,
148,848,270,437,314,331,125,091,130,990,241,933,851,992,501,006,574,045,179,
379,054,445,699,881,316,987,354,123,300,137,630,691,680,769,424,437,507,362,
780,114,645,480,565,466,605,474,396,017,946,429,385,741,751,277,800,492,522,
858,581,700,128,550,518,473,423,503,598,859,056,732,701,588,639,075,813,543,
457,165,100,674,147,444,791,705,492,839,590,796,619,323,780,499,036,346,988,
591,390,870,862,156,126,825,296,017,198,028,485,976,920,582,737,130,638,097,
118,395,622,932,135,709,241,920,623,002,756,753,494,009,819,076,999,052,785,
480,287,684,716,740,936,963,833,949,350,477,905,449,480,391,898,729,524,869,
230,286,720,447,116,256,260,350,139,319,139,845,571,819,200,275,680,648,285,
705,714,572,856,992,667,628,377,984,996,948,174,337,906,972,212,790,298,112,
637,459,537,458,406,670,985,710,645,158,554,470,606,387,901,532,676,229,347,
307,083,256,280,456,799,941,563,154,335,072,433,865,703,374,611,692,835,195,
741,170,038,401,103,321,183,213,033,164,200,299,716,571,160,231,884,628,967,
807,368,329,783,403,213,949,360,944,148,595,315,805,296,612,230,915,835,939,
298,619,780,545,015,417,380,138,544,317,640,457,970,647,452,749,250,047,257,
970,488,118,745,994,346,393,120,839,202,787,358,261,274,751,187,647,294,591,
336,825,543,996,232,728,045,235,292,608,307,589,359,672,699,927,408,321,570,
228,536,827,290,053,793,578,169,152,026,991,555,847,643,902,126,429,216,690,
038,570,913,266,817,921,445,116,838,274,758,674,520,930,800,841,975,639,564,
691,125,692,433,783,445,376,786,310,251,989,004,288,980,968,472,753,902,678,
698,146,313,066,440,929,512,609,431,951,371,797,644,561,984,349,624,376,870,
491,335,315,963,008,370,438,769,196,208,944,124,225,564,372,446,980,421,456,
628,731,314,717,582,930,325,420,989,119,834,269,332,252,011,956,152,765,929,
356,450,623,964,995,711,172,155,432,478,036,016,302,270,606,627,001,349,805,
110,809,457,384,900,278,309,150,124,276,865,034,584,666,840,860,410,563,344,
060,022,305,583,585,882,754,784,751,036,790,713,335,825,387,806,620,094,261,
563,416,183,352,258,630,504,601,626,198,627,476,380,016,539,831,560,696,524,
601,219,072,227,838,338,047,511,013,778,895,436,912,433,790,860,723,212,112,
428,978,462,199,864,370,021,901,622,724,098,133,303,366,648,227,453,806,523,
928,951,958,617,719,808,798,956,568,095,720,464,313,238,538,073,220,261,503,
221,959,027,540,321,884,520,432,769,598,505,271,152,954,639,009,691,237,061,
721,060,539,148,147,496,560,582,940,692,032,391,811,880,814,468,012,830,250,
834,708,099,424,993,133,440,302,622,513,902,393,485,197,957,751,098,185,045,
913,665,806,481,495,366,000,905,392,725,481,945,893,210,738,276,491,856,624,
351,895,548,183,957,250,720,567,573,894,385,404,333,980,872,263,625,725,394,
568,758,154,558,250,242,087,473,451,477,765,357,685,217,579,934,271,197,458,
486,389,375,540,130,645,093,087,242,152,050,160,240,677,225,274,074,813,335,
771,222,133,885,688,538,046,734,127,869,512,241,454,363,480,455,411,121,050,
590,318,720,184,271,548,058,873,699,313,219,510,092,496,426,388,681,429,157,
361,713,531,276,809,048,696,814,376,614,103,682,836,745,399,264,206,747,506,
487,614,873,058,074,869,943,868,662,584,988,562,666,285,439,789,653,871,012,
197,344,082,586,828,923,975,978,104,644,137,141,120,693,432,478,053,106,417,
036,340,427,015,578,388,540,107,925,478,328,577,316,732,939,859,102,514,634,
942,263,017,122,435,245,759,724,378,753,599,144,968,167,576,176,279,530,987,
244,648,834,460,455,918,942,358,456,965,326,688,052,103,748,955,496,806,868,
493,943,845,718,267,943,929,888,797,933,725,296,493,823,691,887,427,651,570,
856,738,598,159,572,633,309,924,947,854,382,261,806,977,438,268,900,975,042,
681,295,637,880,220,865,159,991,344,292,872,510,862,396,345,835,900,095,957,
619,280,865,902,957,414,676,773,863,817,371,429,806,056,632,569,424,956,139,
122,967,652,730,664,259,589,652,847,125,850,103,697,511,808,929,240,147,444,
890,036,638,260,617,914,584,315,384,939,157,556,617,239,215,898,921,689,717,
159,353,670,741,108,490,699,816,985,325,230,991,535,878,401,884,708,706,335,
920,805,571,328,771,397,868,712,953,236,750,820,541,984,876,588,499,542,255,
466,867,629,204,456,199,086,983,657,623,989,680,197,593,454,944,702,094,048,
643,584,153,656,914,082,235,164,231,365,249,778,661,078,754,223,371,527,246,
599,501,782,156,430,482,321,223,346,919,169,700,803,752,839,489,088,838,755,
856,933,900,280,663,610,372,160,546,365,351,096,946,358,224,624,412,221,332,
376,841,561,357,739,078,593,212,439,382,783,347,627,171,845,290,972,691,762,
506,576,184,890,033,009,351,600,896,383,009,786,835,072,945,432,003,425,573,
612,918,954,333,980,207,062,828,346,123,223,732,246,455,699,557,193,067,795,
610,992,351,466,860,665,389,427,987,544,893,847,472,030,193,105,137,894,116,
741,135,347,970,009,240,840,994,625,502,388,916,886,434,856,488,057,333,546,
283,722,473,767,731,492,793,075,121,412,908,050,426,595,133,233,007,951,966,
186,972,455,339,415,234,184,903,737,398,659,203,447,692,986,745,910,853,155,
428,734,463,458,274,031,123,935,320,121,800,017,502,970,270,315,328,422,996,
477,378,447,957,481,579,424,369,063,779,851,470,784,892,120,333,068,861,176,
930,002,685,884,061,975,243,893,101,379,860,136,196,252,052,996,109,643,012,
438,317,137,123,813,598,205,845,391,939,653,969,718,735,859,453,098,258,811,
334,600,191,075,938,285,853,921,518,817,417,082,554,108,677,019,916,633,508,
860,786,801,990,094,365,264,776,811,725,072,998,314,982,159,298,648,277,523,
335,617,750,297,292,559,987,231,127,672,084,962,306,379,968,831,499,928,436,
785,470,258,510,944,828,340,048,228,805,496,509,144,035,522,282,619,558,290,
201,548,372,444,396,456,702,307,681,582,297,733,660,979,767,383,750,312,421,
616,439,551,839,752,418,446,927,238,514,032,409,151,376,477,973,664,232,664,
621,673,570,166,120,056,211,941,717,022,851,205,082,805,692,634,760,030,936,
350,595,094,419,695,491,136,897,070,820,651,596,768,475,478,279,873,739,136,
146,473,982,019,704,766,989,501,640,456,774,768,552,176,517,787,094,144,178,
379,976,383,378,440,285,465,705,024,308,443,911,252,143,773,166,561,879,035,
518,642,644,107,094,007,602,409,059,442,314,153,920,454,085,437,382,490,433,
502,235,157,026,353,341,354,197,778,124,262,791,745,688,637,331,671,499,519,
100,153,559,953,795,174,661,445,094,408,103,225,488,530,738,237,072,636,520,
497,963,465,339,325,736,210,133,604,853,881,371,218,043,192,264,291,303,195,
464,352,499,018,833,016,255,859,362,209,921,494,148,362,798,269,171,640,149,
524,484,646,803,795,919,541,921,486,617,399,578,821,465,736,962,113,694,822,
780,414,056,811,264,286,747,139,656,325,262,109,489,562,486,905,750,163,562,
519,541,670,214,935,901,241,872,232,074,356,678,925,728,723,532,177,902,708,
639,183,339,747,020,903,861,887,915,342,938,732,162,194,042,560,263,643,486,
909,677,147,065,084,650,449,666,174,168,442,847,608,283,508,995,970,865,419,
525,012,299,278,081,616,965,010,276,539,159,140,406,768,237,998,202,606,769,
055,773,277,475,213,961,489,382,494,340,495,922,838,768,806,994,731,887,546,
860,867,533,064,905,359,993,214,841,112,619,787,753,582,605,886,486,519,593,
993,909,560,346,891,869,578,357,088,294,031,041,468,685,362,045,470,209,302,
485,623,433,890,510,024,441,404,780,070,412,204,928,070,119,247,550,470,690,
783,451,429,941,232,175,524,885,044,581,183,185,202,585,600,141,091,288,006,
393,235,735,231,032,232,420,966,749,429,876,317,242,101,410,951,414,689,851,
990,736,185,535,774,663,965,372,231,529,464,769,814,814,502,259,364,645,586,
698,407,881,961,654,834,734,473,995,448,964,907,499,391,464,077,450,457,431,
511,489,774,696,214,493,147,287,414,809,360,343,303,091,201,823,185,716,362,
442,708,137,171,420,349,185,860,562,477,987,481,657,191,221,158,784,955,122,
237,096,701,631,106,912,712,780,565,732,533,729,762,905,228,449,593,725,014,
653,810,054,521,135,681,593,995,447,562,834,786,917,949,715,013,487,970,536,
701,830,641,007,507,570,716,986,859,400,642,986,320,527,571,639,506,956,974,
467,914,474,583,704,272,164,385,329,575,803,201,630,251,177,036,859,313,285,
480,243,329,951,083,272,898,712,817,874,287,717,928,277,279,239,630,881,782,
046,647,558,781,862,198,773,854,169,231,602,167,455,445,929,991,944,826,623,
948,753,640,943,632,552,776,456,841,433,890,541,113,432,137,589,703,900,534,
697,681,614,749,293,451,400,486,421,426,127,893,602,385,166,010,130,095,526,
393,867,445,577,879,157,438,292,601,626,283,619,890,059,430,250,261,706,066,
561,393,117,035,850,060,320,900,208,518,373,289,863,164,323,025,542,457,446,
135,306,297,833,544,331,173,434,681,934,528,829,522,952,278,903,830,411,330,
342,828,356,721,003,425,785,249,840,498,651,237,060,153,327,756,050,636,022,
579,949,784,446,873,026,364,255,582,078,419,485,520,935,557,101,818,856,244,
120,997,146,667,275,835,375,078,343,353,446,290,902,468,606,386,355,912,987,
960,690,494,032,810,642,297,543,730,772,423,642,627,585,699,724,704,766,958,
821,725,825,282,887,434,712,294,165,561,939,959,460,846,970,540,980,458,465,
474,607,938,148,680,011,841,671,097,740,010,443,578,633,461,608,097,847,049,
855,804,052,648,090,701,642,336,789,850,982,215,869,474,037,970,391,888,828,
538,127,531,214,405,294,112,734,635,765,965,362,609,738,663,225,841,341,308,
157,938,359,650,838,163,599,309,853,734,154,861,279,822,857,093,640,542,518,
439,385,640,413,566,312,501,770,439,880,640,827,092,352,598,875,735,802,846,
959,499,529,410,738,274,727,901,975,414,088,828,571,644,435,606,651,340,401,
584,678,893,347,595,045,951,028,424,899,917,710,769,167,816,679,872,868,564,
937,366,816,391,254,096,831,379,018,572,865,778,389,217,281,463,257,784,042,
565,545,135,826,640,957,019,535,105,955,577,401,623,678,256,606,117,136,651,
720,423,452,243,578,244,719,909,352,148,671,026,770,936,116,206,022,333,139,
432,528,595,394,970,355,079,124,417,301,426,869,084,892,426,541,593,159,879,
348,169,302,676,251,664,552,817,488,165,206,891,804,086,934,678,643,412,672,
361,170,167,240,196,031,319,227,087,813,559,858,139,534,181,230,722,995,628,
536,350,326,447,936,061,000,093,333,022,150,814,572,657,401,474,077,827,561,
998,703,577,388,976,047,788,431,656,357,949,089,322,874,429,106,773,287,056,
455,034,260,623,247,692,596,063,056,347,275,786,825,047,677,098,876,025,579,
554,164,875,577,387,585,858,103,563,788,747,977,287,194,898,263,298,730,446,
341,366,012,683,883,540,671,736,008,156,286,649,780,453,153,547,837,533,845,
788,974,683,573,606,514,058,414,353,002,446,888,977,174,412,262,046,871,080,
357,794,539,905,604,842,691,099,847,845,376,729,552,996,080,740,976,559,840,
015,831,090,598,986,473,478,777,464,547,160,560,571,650,589,866,745,147,897,
570,847,345,991,127,889,385,836,969,212,972,288,319,301,157,491,296,598,566,
930,538,998,524,893,868,649,029,561,328,888,952,816,678,164,446,033,264,892,
196,826,408,989,240,086,885,998,059,244,390,788,668,763,196,617,002,653,534,
569,570,396,075,375,418,241,668,810,809,775,474,799,845,537,728,014,802,164,
372,936,999,680,079,830,522,103,594,896,942,544,653,082,071,546,541,613,746,
627,705,444,565,803,455,516,062,320,645,051,391,275,125,399,457,077,077,211,
137,196,836,884,172,003,232,101,253,522,920,148,958,790,465,894,537,944,180,
596,145,900,860,618,950,706,545,520,553,207,998,488,645,078,954,964,013,745,
248,435,753,809,737,455,238,389,383,021,984,746,603,851,055,821,246,639,373,
571,274,133,015,908,323,077,201,156,994,497,752,311,445,304,231,853,031,634,
427,056,609,060,674,656,528,028,277,914,942,058,920,431,827,158,264,214,983,
306,173,078,764,233,229,658,036,242,000,363,073,520,394,703,123,068,791,173,
137,995,621,613,613,877,812,337,307,750,418,696,278,792,353,682,367,674,571,
626,868,039,167,197,235,596,452,875,469,270,092,375,846,026,225,053,080,510,
434,480,811,922,837,899,992,867,960,235,849,910,585,467,976,429,388,972,986,
678,939,783,194,788,912,548,533,784,098,672,614,309,817,933,730,282,695,635,
163,363,087,691,485,725,509,496,814,041,232,784,664,741,580,903,513,389,354,
113,607,137,144,569,168,500,948,296,938,030,331,191,223,340,641,864,928,579,
024,468,327,094,932,288,376,949,448,915,637,090,768,066,898,554,216,273,183,
286,942,009,524,850,573,113,999,602,950,451,654,650,170,234,540,324,374,539,
944,214,910,361,080,262,254,003,264,492,026,076,030,804,883,551,009,856,286,
313,141,735,222,749,440,432,296,166,083,473,747,229,652,900,641,250,634,833,
054,039,162,370,408,552,726,936,105,115,222,784,243,220,972,699,699,516,815,
963,979,108,530,493,796,345,531,766,760,198,756,137,202,246,787,222,125,378,
016,952,025,405,610,937,266,837,664,894,869,882,552,145,994,145,599,905,284,
589,095,433,568,700,359,724,079,181,888,580,105,582,086,068,072,208,017,152,
137,140,281,473,776,763,062,524,783,981,079,569,962,102,383,434,110,243,607,
748,474,532,395,269,880,779,215,015,026,761,761,210,787,313,481,132,424,928,
714,369,041,800,596,528,849,837,933,449,098,894,303,694,565,950,417,589,710,
511,169,464,499,981,452,813,530,690,796,319,323,941,027,351,235,662,869,324,
966,659,937,702,400,417,042,362,223,359,665,819,329,128,175,525,346,122,737,
178,228,811,558,970,123,925,278,011,258,172,223,551,418,860,724,694,696,729,
089,761,181,363,605,059,663,258,478,008,759,673,259,448,898,580,022,505,101,
048,865,534,894,336,086,642,089,737,396,252,686,942,374,430,278,044,414,622,
804,952,754,814,317,240,175,983,539,776,923,416,161,113,406,339,029,812,811,
723,421,438,951,853,195,777,318,558,444,952,459,386,472,647,256,677,829,729,
418,055,369,823,586,509,507,696,232,912,213,963,798,994,711,733,698,479,625,
642,769,503,324,826,456,085,511,762,775,707,692,474,598,334,923,277,044,623,
566,475,509,226,235,594,944,380,745,418,095,372,427,777,309,970,613,301,427,
791,971,191,287,252,614,276,405,183,731,616,150,946,475,503,146,965,424,615,
722,976,882,557,756,619,330,641,711,593,298,875,072,387,145,600,984,717,866,
096,820,084,473,149,638,732,401,932,385,338,472,053,025,255,068,497,894,857,
442,380,529,683,985,224,819,685,787,212,559,149,030,366,087,453,605,144,028,
310,001,777,139,187,254,642,521,373,094,356,517,372,923,847,399,490,474,366,
331,659,482,728,905,359,233,549,807,132,659,805,794,509,597,410,155,783,116,
391,232,611,645,701,965,393,507,947,709,418,250,102,238,290,862,567,950,424,
570,725,859,404,788,377,966,121,986,076,543,137,020,952,135,649,410,389,457,
600,469,265,889,223,611,491,716,465,802,059,458,643,559,939,087,413,643,489,
901,518,493,611,830,805,891,508,560,600,186,915,233,969,633,891,837,490,022,
140,663,816,751,100,476,650,060,126,850,360,753,747,954,346,932,934,522,955,
852,074,949,844,190,347,755,567,669,933,646,538,548,085,640,656,394,019,729,
771,855,269,227,044,187,463,040,899,131,891,908,526,928,512,283,099,345,536,
908,293,704,418,999,819,002,517,536,626,672,287,628,948,830,383,648,309,483,
737,321,636,171,779,439,060,420,316,083,203,387,641,979,262,287,468,853,285,
689,668,515,996,573,810,648,269,969,927,588,756,565,036,524,935,368,104,879,
388,305,137,907,463,743,986,365,725,563,951,831,746,664,974,570,557,187,481,
353,302,114,698,996,559,492,734,644,647,608,753,570,995,618,739,524,569,166,
689,325,978,962,006,979,723,757,209,915,889,749,549,481,830,923,599,130,911,
235,780,197,475,998,692,247,611,376,482,517,660,969,815,904,053,058,914,826,
992,875,355,266,362,776,738,705,548,876,337,466,345,089,684,492,436,925,383,
545,644,290,712,045,806,751,520,742,916,672,609,595,882,766,748,119,793,276,
630,042,087,436,930,118,599,147,217,916,074,958,708,098,056,008,178,232,402,
750,813,597,389,814,368,573,896,150,967,287,465,725,185,801,226,034,715,789,
214,315,006,403,586,862,563,783,683,687,771,236,537,452,051,964,363,680,578,
363,025,868,411,374,047,197,689,278,971,687,554,553,918,005,836,923,168,390,
591,036,149,875,569,448,988,820,657,176,037,275,314,547,198,438,661,764,332,
936,554,714,328,413,973,993,430,486,324,752,630,740,632,616,755,751,560,303,
949,481,257,486,477,924,935,063,734,314,745,917,192,701,706,181,964,354,468,
262,037,307,486,886,608,459,907,519,052,496,265,773,980,584,176,112,084,370,
743,646,055,836,451,533,197,984,677,913,802,684,099,070,149,224,329,301,867,
280,393,896,728,907,052,259,327,579,289,301,411,319,818,366,113,758,725,556,
700,769,421,467,458,748,275,920,331,216,003,702,485,606,535,809,935,587,780,
732,079,125,232,963,729,269,398,725,767,027,750,809,506,814,026,999,462,529,
583,361,140,670,892,715,705,357,567,799,373,106,012,223,107,051,126,591,018,
954,620,701,741,368,489,923,897,105,542,675,573,837,276,268,631,597,486,799,
222,188,851,042,282,990,459,906,470,789,831,999,555,027,743,622,246,062,278,
556,508,359,947,866,142,948,471,220,645,382,450,805,508,040,514,379,808,706,
786,018,014,286,634,720,091,001,056,898,962,737,984,755,615,333,302,496,686,
243,219,583,003,617,460,443,617,770,846,396,772,611,956,100,010,614,736,882,
591,802,039,437,415,929,351,882,848,672,903,397,947,008,630,756,705,827,892,
527,039,207,689,413,419,223,260,430,145,175,170,990,479,560,407,352,873,358,
126,749,387,573,025,234,457,817,727,895,557,798,841,623,440,265,109,754,593,
338,891,269,976,002,419,914,199,299,561,196,809,131,626,241,576,704,396,209,
578,812,285,627,131,182,823,736,770,640,111,149,174,657,493,130,407,243,777,
331,190,590,412,406,877,356,439,321,395,295,698,435,886,262,005,430,482,784,
023,032,845,400,663,218,073,910,795,451,018,128,993,850,604,681,284,900,848,
413,283,005,181,821,548,300,605,977,493,974,766,989,374,266,940,774,745,214,
238,309,492,771,870,128,438,524,150,100,607,467,887,406,018,656,282,312,662,
538,488,111,297,819,580,016,679,384,288,970,564,485,285,105,724,530,084,209,
330,525,818,830,209,071,528,552,431,887,300,962,792,536,181,748,483,950,017,
386,406,106,566,961,983,167,938,518,430,705,464,539,223,249,274,795,660,264,
461,230,827,646,151,922,328,518,493,580,501,557,533,344,989,772,205,220,527,
447,358,270,291,562,207,470,598,041,339,406,875,521,468,226,493,274,663,863,
296,343,400,793,538,875,945,387,494,190,478,509,423,000,595,835,369,153,616,
901,680,168,092,216,930,354,848,987,236,825,554,713,067,796,200,845,416,471,
183,207,701,086,908,337,446,090,587,470,111,350,662,042,845,914,697,575,672,
933,143,410,432,826,322,053,314,968,181,985,717,377,506,915,147,549,518,138,
851,601,826,895,454,756,066,697,333,034,068,900,423,747,411,684,184,954,917,
291,054,976,723,116,291,672,039,946,582,542,814,452,518,723,661,308,063,589,
507,086,061,716,885,838,560,049,702,402,917,041,946,989,396,724,557,115,472,
194,730,795,283,366,004,394,329,219,392,833,807,813,307,938,272,835,078,235,
033,355,306,888,869,423,043,466,930,510,120,271,823,235,539,016,434,174,194,
546,868,234,745,121,807,069,912,383,183,784,268,629,133,266,865,052,740,187,
156,491,896,932,081,553,191,611,274,663,408,189,277,359,961,325,054,236,125,
243,668,157,661,124,617,495,112,693,653,235,554,093,160,836,468,518,930,351,
749,513,860,664,337,287,739,222,212,553,868,471,758,434,186,171,747,087,975,
217,844,726,568,974,883,924,459,935,344,015,200,065,065,167,892,891,262,932,
655,376,608,177,279,862,639,171,892,512,434,078,072,556,092,022,157,343,084,
937,935,345,988,951,306,745,629,058,483,681,302,634,585,999,963,394,058,621,
038,706,581,406,438,374,491,694,364,622,377,451,990,355,425,494,392,218,099,
636,173,449,438,559,405,962,423,353,341,905,764,183,361,161,510,625,034,559,
737,911,076,925,426,229,182,710,235,445,106,772,172,048,351,451,340,224,387,
139,228,544,122,126,284,279,368,242,460,263,882,469,694,731,174,959,357,419,
854,241,138,429,860,329,867,697,670,600,988,509,040,269,192,886,766,112,985,
657,760,416,054,221,252,403,186,691,369,267,668,794,589,942,862,813,039,273,
250,712,727,582,598,560,480,156,194,092,462,951,646,829,296,747,803,468,104,
369,046,806,422,018,061,760,127,753,043,716,219,691,490,506,530,917,777,422,
174,055,917,645,775,722,829,501,212,762,687,701,589,951,074,099,651,541,470,
509,728,201,093,186,565,451,358,295,271,246,793,291,466,185,559,403,529,041,
913,569,454,069,661,468,050,573,821,325,165,689,084,818,637,161,210,270,325,
256,499,771,770,255,436,198,813,516,894,349,688,226,171,011,608,925,712,136,
854,048,676,442,468,123,931,684,132,562,372,988,221,615,465,419,015,713,518,
838,980,809,376,178,888,322,303,324,835,767,402,656,419,547,965,496,508,881,
674,605,298,447,934,195,575,517,296,308,852,572,517,486,393,663,748,719,313,
540,218,584,896,311,398,166,119,904,913,830,716,342,929,624,241,181,392,212,
924,684,323,955,841,438,658,457,118,230,107,751,698,417,917,299,344,695,941,
276,144,772,118,111,966,810,480,687,488,796,811,444,518,177,901,791,268,057,
996,028,483,581,698,581,738,178,843,562,665,373,726,297,744,335,766,857,073,
481,424,336,334,500,425,773,083,625,514,239,292,243,452,916,676,098,034,566,
587,932,448,088,867,283,937,569,338,523,215,364,699,957,405,841,815,945,845,
796,887,237,390,505,194,632,646,731,845,915,768,371,934,365,928,815,016,587,
967,697,425,450,724,473,989,050,183,825,449,821,915,766,364,123,280,526,657,
158,956,814,012,802,485,362,346,910,186,050,186,570,048,731,194,414,107,096,
099,875,323,220,614,414,526,724,979,813,463,082,780,821,936,213,425,189,616,
230,343,430,312,322,164,916,198,033,464,312,802,311,355,543,215,679,069,477,
490,771,070,004,234,539,870,685,179,381,646,161,894,617,463,562,996,875,889,
131,285,719,600,007,342,640,667,427,034,640,600,852,929,872,738,912,548,733,
750,593,565,261,143,380,471,506,011,291,460,705,467,225,384,088,035,225,218,
099,180,022,453,451,735,517,217,817,772,940,263,852,388,897,687,455,822,306,
482,409,198,003,571,543,215,081,670,531,250,772,771,261,722,659,368,591,029,
838,212,140,308,797,390,963,547,766,704,939,825,556,637,079,101,896,485,186,
187,004,715,811,530,284,393,211,020,721,064,294,895,180,262,939,235,329,167,
988,978,672,854,920,162,051,758,607,368,924,720,255,978,559,862,594,539,149,
469,390,672,728,689,042,956,823,941,320,297,601,936,288,131,103,131,716,039,
786,258,530,149,336,034,410,654,945,582,733,356,755,081,326,964,827,278,839,
252,010,389,294,699,162,750,634,507,322,708,348,315,516,874,712,009,915,678,
497,658,720,619,002,779,417,205,670,054,812,498,574,797,717,678,353,025,517,
688,130,299,763,514,535,678,001,261,151,259,096,325,507,845,301,799,095,393,
751,834,678,316,396,529,060,623,887,332,317,098,500,234,641,782,681,792,792,
284,529,953,391,785,703,957,956,602,948,327,713,746,259,547,245,855,106,257,
794,629,512,777,152,297,425,170,600,550,893,445,319,560,311,366,637,825,345,
840,371,165,528,911,574,348,232,659,703,703,461,942,150,541,899,820,185,595,
959,431,146,131,915,656,049,100,761,604,363,267,139,407,975,276,915,599,892,
866,404,746,067,185,208,680,072,538,315,674,885,770,436,483,415,003,031,574,
515,105,890,881,592,665,515,023,898,032,206,222,080,381,436,065,568,492,447,
166,319,382,846,144,206,261,981,691,295,070,803,369,995,715,281,504,794,721,
428,382,810,500,540,102,813,977,140,130,872,594,361,327,972,398,511,856,619,
873,448,231,376,495,419,117,300,798,012,275,761,482,341,095,580,681,401,738,
093,899,157,312,344,478,814,140,245,058,824,705,506,132,658,838,920,900,583,
299,959,881,776,447,629,991,591,384,118,605,349,624,715,153,627,631,143,902,
348,582,812,507,901,490,223,370,113,610,106,575,564,987,344,097,885,509,725,
138,724,337,953,785,830,710,516,589,060,674,033,050,757,582,230,303,970,845,
160,927,836,528,048,194,771,670,897,409,931,847,856,129,818,626,981,606,983,
446,617,192,192,789,153,726,265,115,658,313,347,634,796,346,928,621,369,043,
344,860,362,110,395,123,379,655,040,532,394,646,074,598,003,924,526,216,213,
559,368,846,107,571,327,950,782,625,306,568,810,646,790,404,879,142,985,638,
042,090,154,508,363,593,799,121,013,350,695,742,934,252,201,814,249,863,253,
127,248,875,222,196,863,429,952,410,368,672,301,126,602,716,465,343,264,897,
775,403,774,029,101,961,780,023,663,751,741,637,906,027,171,474,434,675,866,
914,590,724,732,368,267,359,936,823,564,676,822,844,056,290,358,639,721,402,
998,008,765,348,896,057,586,950,659,236,648,234,246,027,280,501,933,152,408,
324,373,573,756,225,816,957,836,776,421,449,962,353,002,720,962,741,535,432,
219,922,894,171,992,447,442,893,065,664,351,565,293,580,622,790,183,628,128,
693,113,879,578,273,054,228,552,759,937,552,804,582,305,394,382,173,878,650,
975,936,179,518,078,189,016,639,497,529,245,443,174,498,437,124,851,081,140,
949,375,063,050,874,497,281,686,481,097,138,182,385,853,716,255,473,657,273,
722,631,520,347,019,756,876,472,826,546,189,526,378,217,366,913,695,290,230,
976,463,108,277,821,135,068,559,705,350,535,004,457,959,204,002,005,658,382,
107,674,683,894,964,705,122,520,932,184,471,859,866,059,207,967,295,410,296,
707,876,091,383,668,254,715,958,257,380,160,804,597,617,576,111,468,617,355,
255,164,718,275,959,790,807,658,738,606,848,460,956,221,747,565,928,510,073,
279,961,882,083,558,710,735,114,947,456,526,549,365,618,055,646,792,327,251,
285,261,967,417,898,605,939,047,919,897,647,497,744,490,731,164,637,535,481,
202,865,586,028,208,429,771,139,037,803,679,616,645,639,028,145,044,278,603,
673,721,875,801,759,982,650,712,069,551,384,527,203,505,903,295,194,280,971,
616,149,077,214,248,128,796,272,965,271,782,192,421,055,309,332,817,564,057,
055,577,845,169,912,600,167,468,421,190,181,538,122,191,086,752,444,548,514,
170,446,456,225,570,094,392,328,056,273,201,980,064,707,120,050,280,605,055,
865,162,350,276,075,675,375,907,059,334,818,295,473,121,292,559,795,861,638,
115,746,460,033,769,996,706,309,930,386,922,627,138,985,151,818,509,166,561,
492,612,486,494,340,910,423,942,244,230,547,977,954,457,726,670,948,728,289,
868,261,968,676,680,976,124,993,635,306,514,701,418,944,049,540,928,554,014,
638,901,723,710,793,407,635,672,940,720,236,666,243,985,802,062,089,218,917,
890,965,663,621,095,796,655,926,878,829,725,950,710,136,673,959,861,430,585,
087,914,212,567,631,787,786,562,040,205,280,566,658,836,014,062,297,398,256,
592,991,729,316,579,814,340,342,391,885,095,260,285,524,164,370,202,398,185,
075,625,491,582,811,471,015,312,799,586,084,304,142,274,723,944,132,151,241,
382,727,485,267,565,565,813,433,080,790,506,950,971,323,880,969,838,698,222,
639,374,885,039,810,138,008,881,529,597,028,451,785,352,094,053,714,481,557,
335,442,327,317,418,518,533,543,326,356,446,274,487,806,721,023,259,857,560,
350,360,257,044,234,027,821,161,885,062,343,250,538,499,927,649,260,339,638,
024,443,469,985,341,593,325,775,109,098,497,521,480,282,477,121,579,679,603,
015,523,453,208,381,889,988,850,264,004,997,162,421,065,820,508,270,830,107,
535,789,417,597,562,648,970,723,295,580,264,178,327,133,065,497,675,605,951,
051,583,923,124,741,836,482,631,280,666,097,976,548,874,082,429,472,690,252,
989,956,326,320,495,508,953,321,744,921,220,105,696,164,282,373,657,038,450,
136,274,017,893,180,297,757,318,263,614,137,976,089,227,482,846,758,249,484,
008,997,873,452,274,961,138,923,651,138,942,609,110,261,452,943,523,494,072,
595,439,500,738,259,675,656,674,719,147,999,369,892,954,704,912,609,438,513,
208,589,004,508,337,344,344,166,723,293,064,568,950,376,007,143,141,497,191,
129,449,609,106,356,211,586,012,131,657,699,701,506,211,305,604,941,038,477,
723,750,973,852,375,885,860,499,816,731,900,128,067,713,601,626,144,395,024,
822,790,650,880,814,502,911,830,144,824,002,790,166,645,762,589,358,483,937,
836,782,196,991,914,565,451,783,810,814,342,188,050,694,400,301,350,287,939,
646,393,352,296,977,998,664,086,714,181,536,938,009,523,531,035,354,960,847,
160,090,388,049,444,413,199,932,023,767,418,342,771,929,709,376,017,733,403,
974,426,738,161,665,297,332,843,820,184,498,426,873,185,517,952,076,138,836,
769,190,287,819,474,069,917,496,444,014,201,925,130,789,233,667,382,432,266,
564,301,606,194,246,209,064,073,666,030,095,575,664,135,407,611,321,248,123,
399,377,447,342,502,311,961,853,589,002,208,954,201,321,154,930,802,141,382,
387,966,571,385,126,694,438,640,622,028,870,530,487,857,720,863,126,700,788,
337,901,468,031,724,135,004,182,804,648,254,304,601,766,182,789,734,419,987,
331,591,686,908,939,977,070,135,711,273,257,735,691,938,702,048,408,288,386,
340,324,144,021,773,729,295,991,343,604,175,975,409,550,940,052,582,896,176,
699,089,044,281,186,904,200,630,498,252,749,169,819,930,263,397,829,320,220,
580,900,845,659,899,819,397,163,599,868,148,816,956,989,103,162,978,199,478,
775,956,830,805,581,038,813,936,527,930,519,682,953,070,473,349,286,759,784,
784,886,257,567,049,496,366,551,147,384,728,002,185,103,216,134,428,995,984,
422,486,265,687,492,879,235,912,030,637,448,715,529,700,226,219,899,910,650,
438,801,533,671,819,571,694,444,989,036,992,007,032,657,174,052,467,335,799,
922,955,208,970,344,280,356,455,931,385,588,139,958,727,088,187,695,003,644,
089,368,719,471,031,327,708,869,006,167,883,411,174,623,687,029,696,284,719,
210,008,159,753,579,330,881,292,347,550,268,059,362,271,948,882,627,144,935,
487,033,228,190,635,883,564,593,932,535,878,243,350,857,522,036,024,008,225,
190,863,873,697,028,624,828,428,883,875,910,215,201,602,673,161,621,265,430,
691,744,465,628,509,914,795,627,499,252,841,463,378,616,617,582,259,639,931,
291,454,372,810,741,470,638,798,859,828,425,293,564,029,697,178,144,284,011,
592,608,560,975,198,744,989,721,831,423,708,637,704,686,214,854,970,742,120,
890,854,892,882,956,554,046,904,598,983,231,290,617,502,428,140,520,992,849,
715,163,854,347,376,436,359,578,410,644,114,837,403,460,593,476,841,686,189,
432,168,695,859,639,376,805,645,490,327,615,528,683,023,012,759,762,376,550,
742,224,526,359,104,061,501,698,171,730,506,683,178,827,722,342,863,035,616,
583,691,509,495,344,139,206,026,179,640,286,494,558,978,632,805,549,583,374,
517,499,993,520,332,848,882,654,596,929,975,076,054,245,266,466,503,623,084,
519,435,139,750,246,088,577,878,290,244,931,967,767,298,284,049,554,967,682,
596,713,975,695,556,751,699,075,994,786,036,459,524,953,913,953,139,269,916,
635,665,560,990,445,056,518,047,498,320,039,793,618,895,666,678,889,594,118,
848,138,852,682,187,189,753,168,041,738,132,089,889,466,496,485,393,167,100,
269,038,493,643,192,790,382,455,839,406,104,105,898,383,298,836,905,060,258,
982,263,479,793,142,709,104,270,279,429,975,465,129,396,178,705,589,849,368,
708,743,363,739,001,423,131,001,785,181,079,880,032,792,436,818,283,376,454,
528,216,217,215,007,175,233,710,291,679,361,774,090,592,310,228,247,435,086,
154,588,461,878,470,676,421,877,257,388,594,678,273,814,999,251,031,631,876,
716,850,209,313,533,303,084,948,987,636,973,023,823,712,063,346,188,213,448,
645,896,097,259,629,229,279,179,791,101,086,251,820,310,965,473,050,154,221,
767,361,879,846,801,047,279,544,512,847,803,572,317,573,439,047,235,493,978,
247,837,140,020,852,500,013,169,980,584,660,169,955,339,239,471,609,908,939,
013,045,063,106,472,302,893,241,062,094,886,009,726,383,019,874,845,863,652,
697,583,159,964,800,580,995,982,763,697,789,692,188,673,599,600,817,476,975,
318,990,477,951,837,926,515,674,155,480,388,828,340,174,154,211,583,655,356,
944,643,234,489,319,884,059,638,514,891,936,938,521,414,262,191,472,534,544,
193,439,674,519,504,277,011,311,000,892,224,753,938,597,526,115,313,568,744,
463,555,078,585,282,483,213,012,588,037,587,767,173,361,402,536,590,152,293,
020,530,318,699,102,251,714,645,071,950,660,316,646,296,026,744,076,752,253,
503,933,413,991,951,159,218,659,208,170,425,720,038,527,171,892,429,650,336,
288,808,231,926,303,094,266,506,659,487,536,979,918,191,754,474,267,508,784,
022,177,810,147,922,815,353,060,858,991,496,703,237,915,671,507,832,830,595,
403,363,349,405,138,490,238,760,973,075,786,357,345,488,364,265,977,234,868,
181,739,619,131,310,709,706,898,333,930,439,166,848,681,051,885,035,567,113,
149,237,635,651,221,504,962,200,835,728,269,332,076,980,970,696,428,941,691,
513,800,347,727,492,030,011,917,060,732,481,933,398,242,515,315,889,010,319,
044,465,120,291,383,280,940,215,421,888,224,097,494,130,512,315,825,625,196,
238,184,071,237,895,066,665,306,918,727,094,345,441,691,685,775,293,098,883,
590,133,647,087,797,993,288,286,385,826,738,643,256,085,761,961,288,388,251,
043,487,581,770,870,087,592,961,794,248,288,951,220,433,389,140,925,554,097,
922,034,743,187,933,149,837,500,765,441,458,392,534,150,349,403,110,605,466,
470,690,550,826,437,367,839,126,125,227,106,297,415,543,831,134,443,654,313,
685,347,446,411,310,400,781,743,246,715,506,486,118,964,565,325,959,946,822,
401,881,025,960,094,625,156,327,386,216,743,820,995,505,947,869,347,416,462,
857,403,057,251,692,302,586,452,838,313,329,760,311,911,521,726,516,948,578,
014,681,779,147,447,428,860,597,515,012,310,655,647,681,157,507,071,023,111,
701,366,937,360,566,167,372,178,181,301,118,720,674,494,649,153,613,823,177,
632,166,947,617,962,157,632,064,255,494,169,124,324,277,800,354,865,529,523,
675,840,466,182,274,937,312,611,320,287,558,380,636,322,247,778,098,810,295,
539,515,303,672,869,247,526,666,681,737,677,871,784,418,850,384,133,742,636,
593,421,569,305,123,113,916,668,192,677,950,694,811,915,828,899,365,843,184,
470,216,983,584,349,973,407,999,946,370,249,895,153,229,834,833,373,676,426,
732,980,008,730,270,616,091,950,701,875,353,585,487,252,958,091,702,327,901,
973,833,696,148,465,648,560,853,791,149,300,964,700,760,190,146,193,393,976,
182,698,477,817,969,031,887,692,655,073,212,973,728,896,208,103,644,737,568,
659,692,202,199,625,959,000,711,531,867,591,732,772,357,048,731,242,960,754,
151,988,260,454,431,923,151,416,841,966,834,413,526,748,863,271,281,465,921,
133,792,535,232,481,563,710,294,013,228,431,240,058,661,605,355,959,854,372,
660,193,797,098,326,826,932,785,145,371,778,468,022,868,313,244,920,775,244,
590,909,253,846,269,736,291,773,370,122,065,536,085,789,161,529,301,130,791,
188,175,136,937,742,395,638,531,487,567,785,592,370,796,715,976,648,338,217,
034,983,955,188,969,423,506,780,151,609,447,289,743,621,692,049,439,391,629,
710,689,320,547,064,794,401,938,447,666,575,633,056,244,835,195,730,365,763,
501,600,602,233,796,972,512,403,035,164,350,066,843,604,184,218,003,107,865,
982,357,956,377,858,166,982,047,232,766,945,055,083,019,753,428,426,537,236,
449,347,176,327,560,921,579,778,633,685,670,730,083,683,128,407,126,150,545,
200,968,859,693,500,698,700,526,919,077,147,152,679,373,487,063,948,187,437,
166,319,297,591,386,088,105,799,854,649,984,333,646,734,367,406,176,348,313,
225,758,076,188,547,777,379,499,990,435,833,263,124,895,972,240,021,543,583,
538,515,890,741,606,825,285,881,322,815,268,752,405,986,011,427,111,508,949,
574,451,744,688,702,462,679,557,691,892,532,593,020,962,940,484,386,396,647,
379,194,718,876,247,517,178,571,314,890,514,796,150,305,464,845,750,171,476,
479,414,698,088,745,622,713,245,801,476,314,639,889,984,308,459,705,787,808,
000,982,900,424,132,379,048,619,132,643,348,509,218,485,230,430,912,691,070,
745,932,958,578,859,504,196,681,855,480,642,545,455,696,781,572,361,268,013,
973,249,732,453,132,558,520,094,109,188,846,095,855,854,294,762,193,554,810,
317,179,830,251,511,176,332,313,363,915,415,279,893,855,228,522,294,742,210,
075,991,071,597,059,064,304,845,093,134,858,530,505,730,726,142,656,387,273,
467,322,069,820,565,304,283,997,779,204,641,221,978,940,909,595,128,348,532,
960,587,469,405,477,135,206,258,735,378,440,060,011,014,067,198,412,561,610,
879,734,106,924,167,463,053,169,463,820,383,147,014,495,489,737,710,281,246,
333,970,344,345,882,202,618,810,554,666,493,379,860,658,410,044,620,721,200,
460,687,561,214,142,220,718,421,608,957,164,242,689,649,514,586,330,667,462,
798,664,392,670,613,437,113,985,226,694,461,126,953,899,819,251,750,722,920,
938,799,858,014,039,898,731,596,709,247,029,447,124,059,876,328,850,325,136,
333,155,151,702,031,174,855,065,936,552,638,469,247,835,749,064,862,795,427,
146,266,674,440,095,441,596,499,829,133,697,831,314,897,987,156,864,398,194,
755,987,717,553,799,690,176,700,172,848,989,602,466,234,348,680,311,947,580,
498,596,592,826,858,859,085,580,652,846,110,849,910,338,477,202,917,401,199,
509,376,963,761,135,841,351,626,370,770,638,726,206,994,997,704,670,441,051,
279,636,750,675,697,655,987,909,816,377,960,243,356,637,458,470,450,922,099,
573,928,232,189,149,071,609,254,019,678,142,070,135,527,550,321,329,591,289,
311,094,638,268,374,473,437,549,993,610,253,605,426,772,235,422,181,087,967,
576,042,186,540,089,624,961,465,654,204,798,952,354,591,997,495,874,720,849,
288,796,429,413,087,514,081,501,565,867,873,233,028,329,990,999,723,943,763,
369,074,900,280,994,618,849,863,014,874,410,755,684,907,154,494,220,617,179,
488,474,528,296,382,123,502,287,481,427,621,501,646,790,070,860,372,424,772,
002,234,388,721,375,245,975,740,904,460,761,824,150,897,295,248,751,976,135,
975,725,056,746,747,232,794,865,894,901,365,126,458,688,156,606,729,117,799,
291,602,334,081,085,752,144,379,963,158,488,428,965,407,230,292,715,721,994,
171,875,296,035,808,146,586,022,532,415,137,229,235,477,964,447,883,376,692,
565,400,700,148,388,456,635,457,959,446,825,067,238,072,587,341,125,122,575,
551,128,509,885,073,334,556,772,723,284,348,837,527,289,668,188,552,497,376,
057,224,916,366,179,964,352,837,482,421,353,534,160,355,487,312,966,709,971,
380,603,413,345,423,667,877,469,998,508,971,657,101,205,483,990,201,016,497,
203,543,161,892,925,093,868,214,127,849,606,467,059,577,182,143,042,145,284,
974,235,304,877,452,036,012,597,818,028,896,332,655,259,435,405,576,321,241,
900,352,815,726,225,901,662,816,431,302,653,797,531,536,007,569,133,666,186,
780,663,452,545,617,003,799,600,401,864,781,904,773,835,398,206,088,598,837,
512,375,769,495,244,231,199,399,866,685,193,461,971,225,777,666,519,132,164,
276,011,127,387,803,528,993,335,366,858,385,822,020,123,566,648,005,151,236,
850,796,071,984,304,190,016,212,304,045,562,744,917,821,974,052,766,235,771,
302,816,885,575,527,503,838,911,795,922,792,567,281,186,110,344,918,180,357,
763,388,594,911,034,935,555,874,205,873,912,329,844,739,236,478,455,325,999,
261,590,675,941,338,339,232,211,434,848,094,139,791,169,811,041,949,477,342,
986,529,224,210,717,206,571,834,945,974,777,811,022,709,470,826,607,588,641,
407,523,134,112,238,142,434,227,681,574,858,335,656,163,935,948,763,728,131,
351,852,460,176,901,946,626,098,350,172,486,783,361,646,171,288,611,083,315,
832,813,292,344,326,508,161,777,888,763,048,938,888,107,056,247,142,249,002,
516,067,330,920,395,189,657,559,784,281,343,559,383,376,824,036,560,156,271,
553,503,213,667,593,475,645,478,260,254,517,701,834,576,453,930,876,009,737,
039,330,641,791,230,052,771,250,951,503,306,426,498,128,639,337,354,531,095,
994,419,776,172,089,806,924,486,382,176,086,028,718,477,228,253,590,651,092,
551,594,532,625,641,144,997,440,601,533,076,290,326,817,239,520,646,433,781,
168,232,723,006,003,514,391,712,354,827,750,164,305,591,413,416,217,393,635,
782,541,663,068,485,027,412,836,366,174,405,634,425,007,801,034,251,013,111,
060,222,913,421,364,416,319,748,769,362,907,514,868,504,284,948,415,751,119,
713,003,235,360,987,207,065,210,552,693,084,464,253,057,653,638,200,973,091,
153,082,161,283,357,553,256,624,158,134,937,148,376,527,527,276,791,097,610,
515,949,758,200,197,500,057,229,671,679,588,210,927,001,165,021,412,118,431,
962,496,285,532,961,695,164,866,697,039,847,008,225,436,826,389,037,602,242,
137,955,165,611,568,651,687,858,082,463,998,708,894,577,201,975,327,076,772,
857,514,669,118,983,619,913,208,061,929,067,475,878,132,536,835,199,448,258,
648,328,629,835,686,820,953,064,848,082,849,167,347,890,503,030,573,201,956,
572,021,049,194,508,787,594,145,234,414,670,874,754,090,309,314,901,714,112,
521,956,851,071,807,482,431,126,260,788,357,038,006,384,618,989,632,248,138,
682,926,341,126,025,874,966,058,090,110,589,989,642,741,918,736,424,709,781,
220,929,249,720,038,808,502,112,678,350,014,443,683,794,961,485,481,988,115,
412,897,714,543,360,681,457,357,331,624,447,226,806,787,754,500,749,463,044,
311,159,104,927,047,764,028,055,488,500,221,884,586,032,037,776,822,901,829,
183,400,278,346,670,669,285,587,812,860,955,271,676,545,981,147,570,407,273,
928,122,901,074,153,676,418,662,462,221,813,869,544,562,109,093,727,812,530,
190,636,689,393,612,602,554,888,228,217,280,349,865,117,349,825,447,769,668,
399,306,266,696,953,830,035,564,763,415,329,147,608,158,413,962,381,509,706,
604,202,328,021,680,369,234,400,927,183,184,539,424,375,045,278,580,519,830,
788,439,824,596,311,536,133,921,904,232,394,646,433,271,255,080,073,102,028,
054,423,619,944,728,375,475,333,704,551,530,166,907,288,952,718,156,777,478,
944,637,813,681,103,620,894,653,435,355,012,965,218,640,243,105,155,759,520,
919,458,983,131,957,520,610,361,525,627,576,472,778,471,982,209,536,532,448,
838,917,439,350,972,842,125,511,622,664,921,304,468,115,270,832,788,330,408,
398,554,557,541,732,461,422,627,897,376,391,066,192,785,721,541,629,015,766,
718,551,889,267,558,568,755,562,291,785,468,344,742,950,753,796,764,376,538,
068,720,984,330,496,745,396,004,934,181,857,785,352,947,194,108,492,822,420,
691,082,950,559,811,216,269,619,468,579,615,819,341,153,894,441,447,037,114,
390,931,967,221,472,242,307,481,184,212,625,860,016,132,612,689,234,275,390,
300,993,134,154,204,865,406,280,728,981,897,217,498,227,700,868,259,451,772,
594,958,932,637,521,283,370,527,579,353,207,041,901,279,665,670,378,237,278,
790,305,666,394,856,272,633,339,122,499,517,810,187,518,407,259,555,980,090,
801,683,913,250,169,045,853,503,911,368,693,004,544,000,623,915,889,409,419,
566,779,085,558,312,636,627,924,505,008,074,399,060,031,612,478,163,660,192,
156,717,200,886,440,705,816,057,355,707,799,055,387,993,876,427,625,544,741,
968,211,966,167,636,398,631,701,962,740,941,989,771,885,214,991,891,083,936,
996,309,412,700,528,000,298,966,240,373,532,808,749,668,930,218,055,065,914,
720,407,818,810,030,388,257,661,812,388,132,325,316,030,248,990,121,760,676,
294,251,277,259,925,704,622,921,782,985,314,568,981,863,461,374,952,164,931,
096,658,835,944,077,604,389,402,710,628,154,338,619,521,601,446,069,909,208,
941,429,345,933,742,928,996,690,166,360,636,941,476,689,813,082,249,083,222,
295,762,795,968,987,723,525,855,401,240,825,246,272,526,884,333,013,920,768,
336,383,308,450,810,703,268,530,608,982,318,044,327,994,709,029,166,019,624,
456,299,663,617,340,437,420,878,083,957,913,699,731,965,276,753,844,021,145,
486,932,166,152,964,387,087,448,464,210,954,934,966,953,566,920,168,500,530,
623,524,211,451,925,807,014,377,459,818,034,239,896,629,224,563,777,450,529,
702,761,024,004,555,294,401,618,026,269,585,505,404,864,469,722,682,704,743,
686,371,094,057,816,583,547,888,501,637,620,161,641,623,180,370,078,165,788,
499,627,412,350,609,847,445,563,308,752,686,283,787,191,920,306,926,164,008,
746,915,493,170,233,350,104,116,133,317,149,223,512,554,558,803,866,307,765,
962,849,778,460,536,716,472,542,641,323,905,477,773,228,995,459,325,553,547,
746,730,906,324,696,868,499,820,756,206,662,479,950,463,673,603,492,490,788,
680,970,941,848,304,003,181,230,303,002,178,599,107,146,951,155,530,540,035,
728,067,925,251,512,589,375,805,171,377,572,855,465,336,849,573,043,299,029,
306,957,063,727,258,586,132,082,011,046,903,619,408,222,386,091,677,058,832,
966,081,509,498,196,142,471,426,962,043,680,180,757,427,099,874,853,582,799,
330,636,609,148,284,932,900,515,989,090,267,437,052,838,820,230,562,708,050,
590,442,314,837,718,872,453,853,477,676,508,782,795,637,217,709,673,062,871,
151,376,703,683,348,138,083,933,030,020,662,338,587,487,495,993,038,829,040,
921,335,935,497,237,577,268,080,549,254,045,835,852,003,543,212,990,461,637,
734,777,913,475,777,163,109,039,931,604,980,985,579,697,489,882,002,526,357,
804,224,740,430,068,831,393,709,858,607,525,732,891,904,791,958,222,548,607,
468,764,414,365,529,768,065,768,476,634,780,876,179,756,920,900,750,042,336,
163,122,072,199,407,806,198,487,371,040,484,718,218,008,323,238,519,183,817,
469,844,135,945,473,435,270,394,745,004,581,519,913,955,930,789,626,851,944,
126,853,771,414,039,018,993,432,748,391,882,538,391,103,966,922,709,544,587,
312,394,532,617,411,918,782,063,460,229,343,043,017,875,770,136,882,959,720,
824,327,005,313,395,858,609,346,287,742,235,497,532,812,221,189,157,869,949,
443,718,417,024,499,928,038,426,454,849,849,595,067,782,201,251,981,380,642,
684,676,381,280,713,672,769,531,014,810,042,292,135,654,698,630,260,794,807,
936,133,548,950,441,236,018,717,112,521,677,903,352,860,618,839,865,290,559,
808,854,169,078,674,160,107,281,924,630,454,762,201,151,903,044,694,647,065,
117,694,124,954,721,167,228,399,089,919,581,462,242,301,055,232,204,666,138,
302,111,141,588,305,130,380,547,169,191,625,178,384,819,140,389,994,190,090,
093,687,749,611,176,572,557,230,002,651,372,453,592,673,755,949,160,553,883,
959,238,221,836,662,718,474,245,317,567,767,566,895,018,986,929,160,279,546,
332,592,003,491,357,529,673,561,525,349,826,890,719,940,050,660,286,818,612,
984,026,883,059,194,369,461,886,897,258,829,855,372,689,512,367,034,619,566,
413,767,148,604,124,095,694,106,915,730,145,594,886,461,281,257,750,419,486,
760,538,886,013,144,769,884,305,292,047,932,042,917,210,212,630,801,347,598,
985,984,717,152,535,603,316,866,550,730,113,855,570,369,319,413,857,967,385,
011,397,691,225,019,371,282,496,707,252,468,449,764,816,001,320,802,904,440,
027,414,436,794,653,167,326,025,220,881,985,400,283,435,563,246,403,497,178,
838,945,900,802,616,555,892,245,373,053,683,580,690,164,083,220,053,267,768,
664,144,795,676,347,312,111,096,802,699,419,626,744,066,361,589,461,379,899,
882,209,377,830,802,251,145,089,419,310,758,861,981,541,461,835,287,292,877,
029,289,180,651,898,558,331,463,942,334,731,628,912,477,561,041,338,522,713,
849,918,593,935,683,729,737,358,212,089,113,012,806,801,013,844,646,123,800,
366,641,700,512,837,608,523,122,282,422,499,130,408,504,012,839,116,879,557,
412,611,959,972,761,772,137,647,230,738,080,398,764,474,409,058,473,384,981,
864,660,855,465,074,550,454,967,422,390,082,599,605,855,112,148,987,631,905,
266,661,602,984,293,997,521,041,399,185,900,439,340,128,112,159,285,596,369,
728,016,444,251,771,960,077,199,658,631,163,822,279,352,242,084,210,077,948,
345,655,558,465,630,432,026,818,613,546,127,413,431,194,772,362,137,982,640,
981,893,135,287,841,224,544,591,041,834,865,907,299,220,739,878,023,210,841,
309,474,855,255,067,044,898,148,091,237,818,805,166,105,744,221,013,135,205,
337,549,648,743,677,415,635,554,333,598,112,762,762,121,454,572,712,891,071,
215,869,806,458,599,865,987,441,319,203,715,331,267,271,255,958,926,348,587,
738,119,310,404,623,741,549,199,682,660,548,470,935,283,089,899,192,152,828,
046,354,794,789,084,524,481,247,621,994,726,150,271,810,538,319,706,423,263,
442,328,387,230,662,856,101,049,161,298,429,329,409,251,916,388,002,968,673,
407,727,006,742,519,665,126,885,347,205,394,503,725,936,980,599,846,825,818,
208,686,063,926,213,789,676,737,305,643,483,719,982,154,777,912,021,950,890,
680,657,632,105,496,004,479,565,512,948,204,898,590,766,275,999,404,092,367,
476,730,726,674,538,207,506,125,523,180,589,097,010,199,308,152,010,584,739,
549,355,965,359,304,374,602,890,378,155,717,420,554,528,808,490,610,974,430,
174,830,374,045,287,969,723,628,553,344,324,248,065,537,468,772,865,823,517,
833,730,739,642,377,988,033,223,030,525,544,393,133,984,136,657,640,758,914,
165,036,914,549,378,632,554,789,746,015,886,614,629,088,613,203,467,133,773,
959,725,553,538,701,204,212,318,905,384,823,544,774,293,453,567,610,945,879,
604,844,378,758,424,010,538,301,375,486,942,931,160,087,430,403,167,340,049,
950,939,047,462,145,613,970,737,034,072,444,470,742,008,820,198,412,351,407,
777,024,198,484,274,911,888,511,093,567,537,712,197,698,946,482,478,418,132,
388,316,180,250,965,050,332,511,233,933,306,205,301,212,293,128,924,569,553,
399,633,882,033,159,411,180,183,280,183,931,114,182,058,163,220,977,326,254,
866,784,159,997,457,320,822,735,576,746,961,096,763,025,264,768,142,674,551,
243,500,300,674,506,360,495,319,887,865,651,683,904,459,360,710,685,122,951,
597,444,458,316,391,465,981,346,874,643,379,435,791,025,433,428,358,609,165,
443,856,073,457,255,185,922,899,003,276,952,807,795,289,811,639,611,990,533,
603,398,915,803,499,199,940,224,600,067,271,272,988,829,783,954,292,570,739,
210,181,056,361,593,206,449,193,663,564,144,495,561,924,711,347,898,217,348,
807,664,758,424,537,498,841,339,948,178,769,146,333,893,970,769,211,091,895,
172,699,363,662,309,073,063,409,765,368,202,570,618,271,005,881,861,213,733,
754,972,247,265,337,328,906,047,451,546,358,285,461,419,791,551,327,263,910,
280,707,428,448,667,467,608,263,086,464,867,295,589,682,904,258,788,406,894,
103,978,403,692,183,120,795,757,102,266,952,826,753,479,798,454,943,307,855,
953,590,625,029,508,324,754,852,000,369,124,803,469,756,895,690,586,305,031,
541,875,323,646,406,421,729,167,376,316,118,911,598,263,180,609,595,199,596,
438,552,467,239,262,632,097,005,950,137,736,005,641,755,512,530,493,316,247,
243,227,603,151,226,146,661,566,440,037,432,511,047,430,912,832,039,376,072,
826,802,077,154,639,716,992,362,776,466,707,214,689,834,245,188,474,085,455,
216,370,076,873,341,227,118,179,498,131,706,713,262,610,828,844,270,019,038,
395,285,287,655,374,079,748,425,630,657,163,775,879,499,563,540,063,958,487,
777,717,678,604,060,671,400,793,033,611,571,977,049,811,999,533,538,642,456,
322,096,799,458,053,062,608,245,135,091,270,066,775,297,951,505,270,996,386,
721,841,729,249,661,041,457,482,725,639,397,545,795,307,592,214,734,178,209,
812,696,873,184,170,556,460,984,099,668,739,948,261,652,806,607,625,517,044,
870,430,371,746,349,142,584,766,559,379,304,830,208,843,377,199,573,706,678,
010,796,068,054,252,657,013,868,929,542,449,876,137,532,524,753,489,560,646,
358,917,382,158,420,423,888,455,357,103,677,295,253,919,780,476,478,400,564,
260,716,414,051,309,890,401,027,827,538,026,089,043,348,000,420,406,408,818,
540,904,792,648,360,545,081,407,791,387,109,148,807,848,339,419,702,631,433,
394,203,486,318,803,368,223,764,831,119,804,611,179,342,631,019,197,104,622,
273,029,662,224,576,069,803,583,813,732,379,183,422,947,936,946,654,221,277,
376,794,899,939,341,267,523,874,602,171,897,180,262,300,135,858,697,231,850,
778,562,325,870,307,255,309,892,686,387,374,325,017,921,669,828,965,170,795,
868,353,553,557,151,362,303,410,784,798,619,112,525,097,252,640,465,348,416,
228,467,855,749,484,207,970,659,788,674,513,206,505,223,590,971,129,484,839,
786,494,328,693,813,696,294,854,928,935,301,724,426,310,092,236,717,349,310,
434,590,462,346,129,087,361,063,345,100,900,944,475,817,897,455,799,799,015,
461,343,007,396,527,818,853,616,316,754,763,235,195,480,217,958,530,382,711,
623,848,125,467,486,250,673,971,116,646,539,531,872,338,213,695,605,995,029,
878,894,346,777,109,876,528,397,800,547,233,379,890,237,964,913,344,454,873,
243,712,335,067,848,210,705,446,265,307,955,209,720,210,586,790,754,617,743,
467,671,123,980,035,124,918,344,524,165,173,311,857,662,792,985,216,801,258,
862,909,129,385,857,304,880,719,899,557,837,779,363,014,760,694,595,263,186,
903,149,960,215,773,004,592,377,805,591,176,982,223,806,206,636,824,148,843,
534,914,118,415,796,209,327,509,174,251,137,076,506,277,893,393,709,673,316,
895,989,193,607,692,447,787,523,404,435,759,540,812,733,694,084,579,625,421,
716,296,667,898,731,372,993,687,263,884,967,483,704,377,507,888,758,279,514,
644,107,944,527,996,777,517,623,430,231,627,414,352,237,079,302,377,468,887,
187,541,690,795,175,165,332,147,479,388,589,769,713,566,899,733,010,182,364,
452,808,645,298,567,326,213,859,712,749,744,315,646,746,338,563,907,544,297,
344,917,110,356,494,927,828,700,296,014,744,475,726,934,925,532,362,275,232,
424,392,019,144,711,748,875,897,900,397,715,869,736,156,126,780,517,652,884,
055,526,170,440,531,619,555,664,447,010,157,054,135,224,148,498,860,303,897,
722,238,499,800,875,941,553,745,727,867,586,692,213,639,940,500,771,103,823,
762,261,863,651,763,826,523,405,350,701,754,647,964,734,200,617,432,582,902,
095,480,657,412,147,317,912,906,395,004,825,216,133,632,485,710,973,916,657,
776,228,524,310,693,074,966,604,477,561,623,289,948,386,652,951,900,300,606,
720,729,658,124,588,955,387,449,750,648,176,897,827,154,866,081,013,485,194,
076,673,826,342,098,455,874,317,529,158,815,710,184,759,266,460,803,683,712,
038,940,509,514,496,034,131,325,853,932,289,716,301,077,837,238,993,080,254,
247,689,710,552,010,899,752,508,518,871,484,937,690,610,013,058,398,766,345,
253,047,820,871,707,228,124,049,235,258,532,546,991,867,215,272,079,711,303,
560,996,672,423,355,336,606,683,227,099,554,700,884,404,651,805,282,175,664,
282,692,751,480,645,814,178,120,081,821,587,400,967,485,854,002,932,301,242,
268,212,809,942,138,784,274,485,174,913,331,789,739,005,892,964,291,592,325,
100,880,379,637,274,461,483,428,009,016,223,865,991,151,445,337,136,654,223,
247,525,064,006,866,864,771,968,727,590,076,620,782,110,470,818,265,269,299,
263,726,073,001,755,505,513,592,152,540,250,628,347,865,057,201,979,510,725,
790,461,809,822,420,932,920,136,630,872,039,014,611,667,085,272,477,987,316,
377,097,549,666,285,625,335,650,737,969,581,798,917,353,412,542,707,926,417,
323,646,137,916,529,136,392,611,727,673,816,621,070,305,864,883,665,117,330,
459,112,279,486,581,904,196,436,940,005,622,796,761,710,565,684,951,615,807,
887,705,309,142,531,299,182,206,404,326,844,716,024,858,715,294,860,145,898,
952,282,601,343,833,516,998,933,340,444,187,489,353,334,486,100,644,813,143,
697,553,780,598,278,484,979,254,819,937,295,687,504,721,218,971,723,272,788,
888,797,909,617,265,571,190,529,331,749,335,884,338,771,903,424,479,146,192,
320,472,119,472,566,754,494,646,241,164,973,938,482,636,504,077,305,822,078,
869,175,479,679,591,432,544,616,355,694,492,301,880,893,702,299,821,387,353,
211,596,475,522,560,400,062,327,443,946,231,742,605,102,343,055,798,143,775,
382,613,228,396,205,560,774,403,635,112,432,015,605,117,723,834,868,678,539,
519,539,988,963,078,212,671,908,244,735,205,021,057,644,067,323,228,186,641,
887,346,948,189,683,540,252,021,497,985,057,656,330,209,009,578,610,091,420,
838,486,789,550,903,975,357,844,355,286,503,510,934,935,756,048,037,306,011,
487,264,848,892,223,282,464,657,842,692,266,764,820,731,725,250,790,873,919,
591,457,809,899,690,612,118,810,425,340,119,829,859,397,564,945,941,649,786,
403,937,342,607,069,412,867,669,713,138,434,750,505,367,789,015,683,415,699,
953,317,156,175,318,296,632,716,037,583,676,311,613,368,802,166,856,795,840,
787,529,171,955,869,127,800,567,887,916,239,063,243,656,224,735,936,426,624,
847,147,779,934,635,360,536,091,615,203,061,135,836,698,549,881,620,286,641,
240,079,515,992,976,396,553,090,477,550,604,147,231,397,184,950,415,265,506,
032,204,835,721,060,283,768,310,527,148,027,956,042,278,028,169,145,812,767,
230,682,340,773,148,186,899,908,495,403,877,647,349,304,314,803,839,182,671,
463,529,514,200,581,932,076,989,396,248,245,371,596,552,904,245,841,864,847,
313,694,564,626,655,429,252,427,882,397,634,020,716,733,830,438,320,273,040,
816,256,419,321,099,238,093,774,491,938,002,476,609,291,006,807,593,286,445,
708,993,162,793,549,770,218,046,064,823,780,233,129,591,881,175,166,584,968,
459,528,776,373,141,274,229,399,040,462,733,202,521,400,940,809,001,255,856,
437,880,183,049,169,101,366,572,748,787,964,418,349,118,960,823,205,194,111,
440,842,810,212,621,783,630,822,482,441,068,265,092,112,472,553,508,838,085,
766,489,842,507,595,452,968,730,779,971,404,563,460,370,947,984,393,893,293,
644,573,078,950,273,377,358,850,772,117,625,631,366,396,217,100,425,129,918,
066,002,627,293,382,785,616,205,968,817,823,954,144,058,295,166,730,861,857,
849,629,139,096,493,217,966,593,370,204,926,836,655,160,230,007,059,620,474,
209,868,713,822,827,312,163,095,792,520,242,141,627,308,441,053,388,262,136,
263,264,263,918,334,432,908,948,518,919,226,704,050,980,987,947,018,197,065,
173,737,109,403,780,016,204,133,919,485,680,704,527,795,094,044,965,660,275,
031,717,400,448,296,753,349,820,604,579,717,063,980,628,748,524,654,901,847,
573,100,051,413,353,860,353,971,917,203,257,577,666,695,150,530,646,231,521,
592,017,798,758,266,770,907,956,388,836,473,547,212,111,471,049,973,009,520,
222,090,155,866,785,113,119,606,261,996,396,787,462,130,841,319,829,816,527,
732,555,268,075,737,619,563,291,525,261,433,655,499,443,077,502,945,248,731,
668,842,916,036,019,984,539,921,096,413,722,230,888,212,138,413,224,959,173,
583,919,149,286,589,437,316,143,716,613,188,446,077,858,541,082,529,060,195,
379,551,687,188,161,875,799,500,757,375,598,215,526,332,991,010,179,159,473,
372,502,992,806,560,335,059,608,200,514,506,313,270,448,588,077,509,972,309,
996,370,340,536,043,038,491,507,509,502,032,928,574,732,624,594,383,683,485,
264,077,956,561,556,069,958,235,176,338,219,673,294,592,218,786,974,959,354,
607,930,825,105,233,830,979,957,832,239,135,840,210,805,673,782,627,192,652,
140,743,822,745,264,943,736,652,454,063,950,695,720,614,040,301,782,911,502,
952,736,999,590,921,223,460,643,664,652,704,745,289,663,960,133,631,781,702,
167,785,593,545,230,726,387,979,453,512,992,170,687,178,074,995,411,664,044,
884,302,913,484,679,554,477,689,183,453,609,143,050,338,371,456,968,440,298,
023,027,585,510,257,218,863,055,673,385,676,608,009,651,689,701,547,954,008,
458,125,196,120,571,999,037,918,391,305,830,130,883,360,115,549,200,451,371,
832,964,615,283,171,847,315,470,920,157,230,582,323,969,526,799,909,660,301,
481,215,883,283,811,387,741,935,075,919,282,288,582,749,094,439,126,474,849,
012,647,688,701,114,722,455,174,285,545,385,272,182,338,004,385,309,664,914,
715,479,575,614,639,140,872,684,732,654,018,049,965,496,290,568,533,062,638,
691,945,115,440,725,561,461,207,576,902,293,230,588,681,017,674,319,561,798,
994,839,450,536,207,782,332,955,633,422,480,427,637,750,369,931,345,308,544,
740,584,121,782,220,893,014,923,691,212,084,086,655,028,917,604,173,378,713,
093,189,261,297,669,667,028,534,973,054,571,868,925,312,263,500,270,845,749,
400,419,739,590,314,597,854,748,984,484,891,724,183,526,328,270,998,315,276,
062,257,409,462,303,852,256,824,581,235,657,557,860,646,795,568,124,914,697,
145,994,642,407,002,347,179,216,642,731,436,096,600,295,540,251,993,825,315,
386,279,462,077,958,939,099,341,416,653,122,724,582,712,890,829,886,211,689,
468,104,741,901,196,137,905,899,224,421,238,777,544,332,338,582,475,285,262,
022,323,044,388,054,100,968,814,072,470,551,096,103,489,964,700,587,860,223,
175,159,081,413,235,920,508,845,918,844,188,643,698,216,695,341,808,865,644,
335,136,386,694,422,013,674,015,749,260,218,539,508,744,221,423,126,989,122,
851,449,119,146,745,536,422,903,070,677,354,272,427,416,576,093,592,152,019,
183,741,126,645,645,749,721,930,821,154,954,390,111,956,808,157,015,877,731,
418,422,330,572,077,910,748,263,312,249,655,520,176,340,163,420,670,374,923,
927,742,131,996,879,556,355,341,059,577,428,299,604,028,672,489,763,800,363,
090,459,988,236,630,647,397,772,135,782,262,096,467,859,251,933,364,221,025,
957,724,642,788,522,956,912,608,184,058,222,798,717,025,678,162,812,097,201,
733,705,819,278,378,133,688,080,525,898,799,829,894,452,639,234,393,026,441,
596,112,183,064,741,763,362,260,511,338,784,289,588,811,007,794,513,725,109,
662,371,442,653,875,276,572,046,192,412,760,995,471,098,357,853,411,316,039,
997,982,537,743,884,861,155,488,693,122,407,102,127,283,864,228,568,573,680,
811,300,557,310,391,735,007,964,454,359,355,579,690,244,389,294,068,028,565,
239,641,514,587,512,443,817,334,129,101,411,566,478,626,610,318,152,528,530,
444,751,620,551,605,626,645,633,751,104,396,876,764,601,240,254,675,677,811,
874,077,521,083,594,713,113,639,341,011,487,707,791,793,049,564,615,728,391,
767,031,591,750,005,795,283,675,001,737,277,675,580,240,816,976,022,014,281,
313,555,006,184,072,535,359,109,327,867,431,674,270,548,469,649,529,512,100,
511,412,429,286,426,101,277,900,398,643,870,980,080,084,022,818,672,054,748,
705,526,672,157,623,413,900,982,635,506,976,032,147,843,008,937,865,377,242,
809,926,519,145,077,552,951,869,906,765,327,245,931,580,942,070,994,757,439,
777,077,320,050,288,991,548,239,503,596,497,868,339,133,016,017,725,956,307,
678,256,655,486,051,566,447,142,132,855,974,434,908,490,721,848,849,692,057,
421,243,412,898,852,358,699,560,545,203,855,559,283,073,176,990,157,970,455,
037,709,208,450,183,361,472,800,482,901,415,626,840,572,429,432,143,901,085,
241,738,457,981,629,087,131,350,266,701,289,877,732,566,043,508,814,763,129,
833,824,694,584,079,432,445,286,157,950,375,054,670,290,327,521,354,988,203,
366,574,939,680,477,399,513,699,391,067,349,847,696,976,318,569,586,897,725,
648,316,406,579,933,439,272,313,171,196,308,787,011,013,360,129,600,892,985,
982,570,946,523,920,400,894,653,097,610,476,814,624,641,263,667,421,923,573,
538,014,190,840,889,714,414,143,384,718,677,764,627,717,233,708,267,882,325,
975,710,391,916,434,707,130,370,327,172,876,953,693,960,137,874,142,207,774,
955,253,376,455,487,164,953,595,044,656,411,845,310,105,014,896,078,178,595,
558,589,710,153,080,697,428,000,321,868,279,625,477,202,563,470,071,372,176,
384,024,773,754,462,167,474,804,381,580,013,178,801,487,034,751,367,324,066,
685,217,248,408,105,678,338,242,041,290,056,603,584,466,557,748,563,250,018,
583,115,543,323,058,186,853,113,952,610,483,278,048,543,512,794,486,466,607,
834,919,274,370,592,605,859,173,791,869,417,621,005,207,422,659,090,666,437,
072,992,684,818,270,735,442,338,264,195,963,043,595,863,960,198,864,938,264,
652,321,790,081,810,858,710,000,099,536,829,868,868,113,141,242,303,723,002,
658,161,636,621,723,526,608,928,953,770,035,931,384,245,358,253,084,313,068,
905,014,136,335,993,773,455,794,862,842,791,640,780,393,865,063,939,085,653,
126,530,590,718,143,028,247,399,362,977,969,945,116,010,586,758,411,552,683,
593,919,531,562,507,177,241,139,771,815,172,695,359,566,581,502,260,974,706,
463,979,630,910,478,744,728,775,896,483,371,708,380,725,326,535,658,928,959,
323,543,926,208,553,433,086,375,383,704,756,577,674,221,292,526,722,892,045,
913,540,435,603,980,912,477,621,813,615,904,170,737,683,148,838,140,485,799,
480,741,288,776,392,174,134,333,438,047,743,769,816,359,669,640,186,606,764,
694,442,841,141,200,286,891,977,995,877,954,151,588,089,568,167,363,726,195,
513,325,093,903,057,988,976,405,068,352,237,612,804,019,688,877,266,827,014,
473,790,120,924,806,674,564,220,583,221,798,039,791,525,391,286,720,305,446,
932,776,145,514,778,373,792,705,155,480,563,404,531,171,884,491,336,456,313,
955,857,226,664,205,215,361,518,856,811,243,395,612,369,368,510,049,393,460,
039,417,728,250,000,885,074,709,003,851,927,097,745,252,470,595,284,987,478,
789,528,577,795,589,108,350,414,212,075,054,966,684,654,582,056,061,297,736,
012,464,099,916,902,944,241,940,325,551,682,249,302,862,186,521,059,766,558,
514,041,316,125,178,801,309,740,383,637,019,525,876,467,745,666,928,762,541,
757,731,854,556,760,693,441,980,194,238,487,990,592,776,419,698,807,923,468,
373,495,751,625,936,558,024,282,884,251,700,508,457,259,636,501,976,936,598,
583,612,685,671,217,787,770,536,276,923,380,249,547,464,756,254,311,260,091,
923,588,493,599,576,230,966,494,176,273,585,679,077,805,999,826,109,201,689,
793,841,327,219,872,840,286,116,663,117,472,032,459,669,757,568,586,906,782,
044,503,159,600,029,316,952,000,667,704,895,482,460,759,742,368,431,997,799,
326,118,130,332,883,752,059,331,992,274,553,958,747,502,325,430,347,428,433,
349,515,847,260,099,003,753,951,988,455,534,802,695,185,921,672,412,428,275,
639,539,606,053,626,094,652,658,947,944,825,633,453,759,088,724,204,402,184,
724,014,809,798,302,024,644,030,183,765,557,716,721,301,819,829,096,375,526,
732,372,343,750,874,116,237,710,210,986,839,198,316,394,085,482,378,924,129,
285,297,404,616,642,812,063,016,957,393,940,984,126,457,751,256,343,580,915,
168,110,069,199,155,650,428,528,451,605,249,454,001,792,692,952,633,066,627,
232,603,718,333,113,660,785,217,572,227,018,547,887,305,141,569,759,183,794,
859,256,811,938,453,132,689,828,592,402,929,538,497,668,739,732,723,308,633,
863,800,221,171,617,441,520,911,471,049,977,718,372,140,613,585,118,541,908,
983,788,439,373,438,074,014,105,273,708,192,839,799,867,172,881,858,929,853,
046,780,378,716,732,176,329,449,146,329,537,668,118,165,557,857,824,860,493,
973,948,895,907,569,935,696,408,046,723,339,120,182,156,283,724,426,459,702,
002,311,371,657,771,890,886,374,573,765,218,269,518,379,418,996,811,788,701,
946,371,042,423,891,831,538,021,602,913,519,490,420,854,887,834,613,083,866,
176,770,597,337,671,805,221,678,285,452,582,207,234,288,076,837,670,927,562,
375,614,414,181,957,216,550,203,236,083,166,275,906,880,164,463,523,760,533,
257,598,576,354,835,202,548,121,530,899,638,985,609,624,423,878,787,115,920,
526,256,157,807,501,873,948,615,747,299,528,146,065,035,183,301,149,388,858,
497,850,790,200,185,385,623,344,208,658,316,248,816,269,264,675,843,837,600,
175,856,859,760,673,643,518,549,983,127,916,749,948,300,173,027,753,894,084,
349,318,101,245,812,658,370,308,110,557,977,964,763,148,228,574,537,071,901,
608,278,315,859,986,642,877,974,214,856,967,739,809,683,898,534,484,970,082,
930,051,990,007,244,855,530,048,040,825,260,398,437,919,579,568,866,055,436,
940,306,798,366,133,846,130,647,266,949,791,922,554,249,612,252,476,291,125,
709,573,695,557,634,855,676,190,075,720,322,679,364,565,481,316,095,679,355,
095,354,149,393,099,021,604,140,483,808,742,355,557,715,918,582,337,729,728,
788,976,623,777,127,461,989,546,338,957,542,156,499,890,966,550,275,466,599,
638,073,701,010,415,904,154,052,201,205,694,533,879,734,825,559,032,395,012,
604,091,299,835,752,426,344,009,884,532,632,599,915,557,090,789,622,904,756,
464,702,621,285,696,499,842,735,904,270,855,320,679,027,033,885,952,722,096,
174,346,891,967,844,694,693,887,236,697,740,320,700,358,891,486,418,662,508,
093,925,226,690,692,867,481,612,100,234,884,890,179,503,416,328,643,733,122,
170,459,978,999,985,018,767,777,826,595,244,335,500,035,933,864,896,743,108,
481,741,378,126,333,227,050,757,530,012,466,857,106,915,690,816,755,503,038,
787,206,084,964,152,970,270,605,014,609,929,186,092,312,875,441,090,219,309,
027,863,979,534,164,829,394,351,461,668,444,714,043,418,770,732,709,261,317,
662,588,315,221,535,445,214,016,379,632,774,470,663,700,911,204,171,314,307,
434,081,790,871,205,476,089,974,784,171,956,471,661,298,682,162,563,943,140,
248,814,254,958,532,193,994,323,452,531,798,051,061,761,297,098,078,872,525,
077,104,612,513,597,927,044,851,079,138,815,596,913,603,288,789,694,965,825,
005,162,592,663,590,932,058,614,565,238,022,562,797,528,349,642,570,063,411,
215,930,095,544,643,943,434,706,986,021,531,145,819,966,068,504,871,094,063,
102,385,574,194,100,691,835,390,945,222,861,030,223,746,118,858,310,574,870,
044,210,998,550,159,445,731,880,645,848,799,920,360,127,601,858,381,840,120,
672,782,581,467,527,286,518,166,292,524,116,829,010,450,476,014,475,894,013,
491,318,615,033,998,053,289,686,261,029,743,146,293,056,865,403,177,694,631,
940,487,709,395,698,355,595,225,198,152,616,801,415,358,246,976,318,495,114,
454,480,305,125,113,887,825,142,780,014,191,726,045,759,820,626,104,611,101,
488,624,275,299,975,865,243,916,969,131,791,585,609,483,525,633,112,034,991,
719,376,666,987,707,713,280,477,966,572,381,638,606,042,692,214,402,339,746,
398,281,136,561,913,756,571,391,466,896,181,212,376,570,279,721,361,458,732,
525,468,193,440,126,477,255,617,446,844,137,674,272,332,595,829,364,654,325,
830,912,571,624,832,678,475,553,459,263,618,632,237,920,782,158,591,261,534,
972,669,894,576,493,394,732,693,888,494,668,369,069,172,819,408,704,495,352,
112,750,745,726,009,499,716,886,012,648,167,864,669,101,313,768,047,915,196,
931,278,536,309,924,550,391,422,397,821,850,451,864,944,589,297,647,548,501,
273,783,551,014,520,932,178,742,176,073,457,901,148,484,468,991,995,766,817,
942,364,956,196,687,902,201,332,026,569,465,940,845,450,789,155,344,489,384,
771,531,045,344,969,068,805,348,050,498,640,467,892,793,514,320,814,068,799,
139,597,594,707,976,061,490,456,148,587,638,577,511,786,679,443,139,673,199,
586,915,512,536,922,357,272,159,815,278,811,302,653,610,177,790,240,602,472,
529,985,663,526,586,782,116,138,230,508,890,243,531,317,177,338,220,060,357,
770,192,775,636,928,220,177,055,056,289,099,410,885,099,111,983,685,638,501,
559,353,382,424,752,263,480,146,598,069,719,647,931,726,228,672,975,459,504,
558,325,295,969,229,179,855,881,119,079,553,617,744,268,127,623,371,814,793,
360,678,917,171,722,587,331,571,995,666,713,355,131,014,465,158,143,733,853,
853,705,981,754,157,114,419,978,301,235,941,394,704,303,762,762,370,752,583,
695,785,115,766,799,501,165,474,435,055,673,840,853,999,347,911,526,804,315,
520,194,934,708,631,568,089,082,826,305,264,411,464,794,882,257,351,167,601,
597,466,134,459,755,841,964,289,696,242,420,700,536,727,617,052,005,366,273,
033,591,432,364,117,776,935,419,955,659,290,792,779,977,460,071,598,135,601,
510,016,351,843,614,023,758,056,011,081,372,303,616,892,267,024,157,903,836,
266,518,640,163,331,223,773,671,961,909,043,428,613,215,525,580,007,769,655,
182,266,882,949,826,526,841,345,777,474,721,750,131,730,885,900,221,943,092,
695,421,845,687,664,123,171,324,672,899,548,391,665,112,243,880,715,908,009,
682,002,220,405,356,519,400,881,868,793,858,879,957,066,981,683,245,465,531,
870,187,025,281,517,206,292,411,563,505,914,690,274,642,050,283,201,493,550,
205,103,166,519,797,567,843,815,827,332,139,685,896,430,441,821,462,166,126,
071,925,510,654,413,219,593,071,049,204,706,423,888,567,753,950,593,762,396,
030,976,656,987,004,795,994,690,563,288,224,468,657,579,322,623,132,258,166,
539,555,194,901,532,529,513,612,023,226,861,919,749,620,403,951,993,092,175,
361,298,791,016,638,974,813,105,068,747,895,555,778,819,522,066,507,803,048,
408,150,244,945,489,018,906,818,471,217,262,610,129,311,897,750,202,619,985,
337,713,124,155,584,996,384,543,136,425,999,331,567,922,880,055,446,536,082,
805,464,651,893,157,543,029,168,981,522,237,504,424,289,728,100,103,052,537,
725,670,278,429,121,849,025,878,001,783,134,043,680,913,388,173,091,097,164,
120,515,139,288,833,661,800,668,225,136,234,900,527,705,012,433,247,462,522,
448,989,237,708,721,510,444,658,589,450,681,263,458,740,864,805,224,497,814,
885,059,316,006,110,225,699,438,116,761,716,980,450,383,572,364,962,579,073,
579,282,776,974,774,298,705,339,094,109,868,957,755,172,947,935,997,181,567,
433,235,151,973,583,500,927,506,115,666,519,101,917,512,805,026,299,066,145,
203,980,260,615,182,081,166,960,488,576,314,915,084,629,989,496,447,557,954,
585,459,379,410,060,508,879,688,133,080,776,395,127,748,215,107,035,328,810,
218,118,513,300,152,846,591,036,886,386,396,702,594,442,437,865,169,008,167,
738,150,692,989,543,850,403,277,738,752,086,332,040,053,916,563,646,024,845,
414,518,727,111,146,608,575,990,151,713,181,573,930,352,999,679,063,824,515,
867,899,586,611,381,795,168,576,275,646,826,024,697,827,584,481,214,217,830,
990,567,383,199,404,595,788,707,567,727,794,320,231,555,849,575,032,350,245,
544,049,514,437,113,091,338,313,193,502,230,561,543,085,388,421,452,423,031,
470,667,826,939,669,745,036,873,719,258,072,383,548,594,503,944,067,895,499,
359,041,778,963,222,871,189,847,630,903,208,696,565,757,898,641,056,678,600,
018,728,691,163,958,783,229,555,495,329,963,529,592,800,704,445,971,761,860,
761,647,872,012,939,898,358,898,988,036,164,513,190,455,308,094,622,271,591,
660,061,954,587,310,624,851,659,855,292,706,749,441,590,623,403,985,788,665,
205,913,587,191,532,786,235,266,616,380,899,226,675,152,199,574,831,779,622,
200,673,841,018,926,993,914,608,820,561,382,238,649,299,346,020,592,722,823,
504,749,081,206,259,804,404,704,787,895,677,806,772,405,344,442,866,100,469,
868,149,884,056,792,560,592,967,242,174,002,102,432,375,264,802,136,521,179,
230,280,847,889,111,355,325,687,519,584,790,621,495,777,745,122,211,959,105,
646,091,609,361,916,883,248,108,867,832,105,588,583,496,306,363,567,535,495,
428,606,337,798,670,931,445,506,295,473,777,837,242,543,425,129,056,432,695,
998,841,434,769,784,915,627,057,529,865,186,770,753,305,756,989,012,670,312,
456,548,327,217,580,717,996,317,501,736,006,023,850,310,674,888,246,497,187,
467,922,373,747,083,224,844,206,175,608,197,504,634,111,169,015,014,698,338,
273,266,373,160,083,936,268,254,418,077,358,833,813,141,452,776,345,019,836,
849,503,681,463,942,528,945,838,810,501,994,864,909,711,570,060,470,127,983,
447,381,760,454,299,255,406,441,101,619,237,372,677,409,336,313,656,322,315,
366,685,638,226,038,830,682,390,439,236,925,193,587,660,727,689,849,006,031,
882,976,174,179,887,477,081,073,355,378,019,026,003,379,011,569,509,813,058,
483,097,423,298,252,415,971,162,029,954,053,658,775,072,841,390,566,321,067,
860,669,077,110,420,145,634,847,030,325,099,627,590,939,548,195,859,405,665,
688,442,661,163,793,431,352,226,164,449,246,709,345,303,829,957,469,518,902,
454,571,724,215,428,459,797,343,133,362,635,062,258,995,080,700,651,010,259,
345,077,966,358,797,850,878,032,337,971,866,190,908,800,612,025,191,817,725,
966,871,795,606,835,885,960,420,545,420,232,607,241,894,675,915,345,919,778,
797,293,538,731,480,346,241,695,870,309,303,961,027,922,369,257,955,602,658,
061,845,673,052,011,249,272,928,719,712,124,910,136,277,546,022,889,174,172,
710,702,599,032,875,144,110,363,285,149,553,310,153,457,213,404,054,391,762,
547,539,493,767,905,603,113,011,384,311,844,675,645,710,029,666,950,763,991,
012,380,121,724,715,750,740,298,589,646,470,320,616,387,962,543,602,330,699,
783,733,452,417,206,332,881,043,473,229,536,070,053,133,088,337,212,733,776,
655,520,455,877,689,171,639,989,978,158,351,124,753,184,476,737,286,061,507,
319,106,151,207,499,275,899,862,478,046,401,657,225,783,313,564,888,473,971,
171,148,781,861,741,130,956,319,720,762,082,939,503,242,560,356,366,272,388,
652,657,159,371,374,413,693,469,675,258,295,988,425,843,142,915,274,677,585,
164,270,666,420,067,129,440,663,558,000,203,900,349,281,359,596,854,989,387,
819,810,618,773,304,368,941,241,187,168,619,321,521,554,188,400,934,700,679,
392,368,702,471,634,215,487,922,239,582,353,530,311,512,712,706,595,618,268,
309,072,346,797,024,064,482,023,533,500,750,326,332,879,841,892,461,245,283,
226,473,439,209,107,799,292,314,558,300,506,419,780,814,649,021,347,156,563,
508,821,940,692,235,587,322,142,618,212,934,579,742,914,979,751,909,169,035,
107,772,592,126,075,731,541,434,795,477,659,526,997,464,354,459,506,803,018,
218,169,831,992,615,905,423,156,799,942,051,672,422,559,399,038,231,900,615,
010,400,769,215,357,281,877,680,543,798,801,250,387,885,491,963,475,566,654,
218,528,861,051,524,598,578,813,048,431,679,565,068,140,644,820,344,248,161,
304,093,296,132,019,101,571,033,910,350,832,115,070,145,875,960,886,063,003,
092,290,108,156,886,150,069,170,938,872,053,982,419,941,767,519,123,302,991,
408,341,171,516,504,442,018,623,368,856,397,322,477,310,055,052,476,574,672,
366,063,569,509,210,159,945,943,272,140,605,588,881,919,846,721,053,933,679,
681,408,345,720,558,789,762,529,663,805,704,374,594,687,217,218,841,867,581,
916,499,786,032,992,040,764,622,982,332,876,785,312,182,352,858,380,072,423,
437,086,513,891,907,505,526,959,789,189,879,479,919,433,403,045,487,178,252,
351,235,682,587,211,376,339,549,772,793,880,257,552,811,981,943,855,964,867,
223,273,470,659,004,617,375,154,976,007,969,693,297,185,931,730,538,229,192,
646,328,166,701,820,901,726,672,346,119,930,069,994,916,789,480,758,993,410,
219,060,783,998,173,465,925,675,738,533,089,504,334,045,090,605,625,748,362,
376,994,157,878,582,090,761,900,880,953,741,605,898,197,118,016,273,373,621,
874,703,757,910,459,521,587,124,120,513,762,087,269,490,788,105,674,002,220,
964,786,775,966,293,285,963,535,487,014,419,009,227,066,298,267,989,744,498,
023,294,696,652,710,135,348,940,388,706,877,846,173,766,532,234,315,004,568,
841,357,862,563,794,847,790,076,085,053,167,501,353,177,019,303,031,075,459,
685,636,044,772,339,882,182,484,341,808,449,569,184,927,738,841,511,821,623,
554,085,882,320,469,454,809,588,205,149,766,763,787,042,802,580,147,045,594,
356,725,699,276,264,797,524,767,223,438,154,567,409,007,203,794,354,550,380,
211,838,207,183,536,261,168,246,274,851,724,491,896,301,227,981,550,109,748,
873,282,389,139,491,293,662,787,542,826,713,323,740,386,923,953,736,939,598,
608,319,324,615,461,513,960,881,224,693,620,055,452,144,928,044,985,092,196,
703,642,210,086,281,263,541,426,646,585,117,795,147,010,908,895,472,539,193,
383,501,996,884,459,006,505,955,097,305,406,672,751,781,181,166,358,424,393,
237,802,382,229,365,874,728,583,093,660,256,696,900,596,691,339,838,754,620,
690,815,803,282,586,673,794,851,576,219,433,835,855,577,925,061,753,552,672,
102,498,506,126,330,099,381,397,676,113,929,690,904,552,690,489,961,590,201,
380,429,587,695,299,990,792,763,111,283,258,380,282,042,695,809,713,525,922,
752,114,248,643,382,871,880,203,902,065,973,661,907,784,843,395,477,540,071,
234,277,669,983,830,946,317,685,162,823,601,579,472,305,997,230,155,590,738,
274,469,707,227,338,955,097,424,679,485,904,648,978,771,938,089,099,547,949,
744,144,356,282,129,169,658,249,157,674,826,023,686,446,101,539,547,757,580,
036,130,664,406,670,051,462,284,376,813,710,004,872,652,557,210,156,664,468,
558,863,659,257,815,210,411,105,014,483,715,354,683,200,224,615,269,327,326,
335,653,125,004,170,084,197,651,509,334,034,730,715,049,360,412,733,928,576,
419,938,277,582,914,057,809,654,166,723,617,519,502,149,329,213,641,756,971,
534,178,837,553,654,859,149,672,659,061,976,347,937,182,030,166,701,899,805,
089,423,216,450,948,732,016,648,768,549,151,727,721,627,538,499,555,711,403,
293,060,383,675,048,953,863,673,656,983,698,972,619,133,702,624,066,191,916,
293,166,896,025,573,399,149,258,025,897,667,255,268,333,598,973,667,653,604,
150,679,384,148,669,761,737,039,015,606,060,310,807,262,146,901,721,559,038,
658,842,491,675,863,767,079,295,190,166,725,345,301,684,838,957,652,060,586,
017,669,388,811,086,911,890,821,741,908,315,793,414,859,381,346,308,613,789,
753,683,254,362,211,809,529,540,286,096,206,052,957,826,027,475,012,491,811,
101,598,807,578,782,828,627,883,681,172,635,113,356,560,755,917,024,737,273,
986,204,350,711,453,510,448,517,994,203,116,372,595,277,452,042,087,351,929,
520,168,876,435,578,837,065,458,337,883,677,713,380,511,611,634,949,161,074,
807,376,737,684,216,364,443,281,250,734,183,745,687,169,428,274,426,648,298,
275,047,392,134,036,140,749,510,890,052,274,831,492,060,265,325,388,501,913,
636,808,545,825,118,395,828,419,657,637,471,310,172,873,991,729,517,051,962,
420,582,536,638,063,099,846,446,204,029,721,043,083,817,212,131,002,092,148,
859,905,753,427,569,006,219,018,793,916,864,004,773,550,335,299,791,412,864,
752,036,946,059,800,286,015,445,935,796,583,033,619,329,244,873,431,462,455,
292,182,748,168,215,346,334,337,323,034,940,915,089,404,874,460,282,450,557,
754,068,309,211,902,148,590,242,382,800,821,647,685,089,275,330,809,220,332,
754,196,142,036,692,140,089,563,780,810,596,852,540,591,517,167,730,172,314,
517,195,713,687,608,507,819,987,845,899,568,389,708,705,048,491,298,925,192,
563,083,786,989,710,247,358,443,124,057,833,477,058,555,316,615,509,786,056,
404,244,504,253,142,208,284,577,940,551,254,349,860,869,372,094,900,261,640,
775,093,280,195,207,191,522,431,270,961,573,812,064,916,408,561,685,756,188,
263,158,770,720,880,221,605,940,537,261,662,630,706,963,322,142,013,186,766,
994,087,717,192,676,136,423,605,752,427,626,493,903,739,138,442,922,991,093,
669,784,451,475,412,931,238,861,263,705,609,085,712,798,448,883,764,942,370,
587,574,861,001,849,496,424,337,519,681,633,849,755,178,122,269,039,239,650,
968,090,349,510,296,823,202,371,051,357,945,010,476,826,106,856,267,947,732,
790,212,089,135,956,719,356,067,699,015,352,439,941,030,636,397,708,711,185,
170,500,341,973,940,647,751,134,563,382,577,952,304,678,899,356,143,433,170,
631,274,726,870,388,021,171,074,410,146,520,330,004,556,350,823,134,090,981,
811,797,896,637,201,853,594,986,141,803,782,024,910,926,434,744,381,036,265,
131,673,074,566,548,464,754,462,365,079,688,706,565,836,265,205,452,749,586,
670,394,946,831,539,757,093,984,214,343,602,180,059,808,131,086,042,085,483,
784,630,735,450,326,340,555,021,089,071,433,444,734,606,701,295,719,903,875,
463,471,702,106,171,232,730,663,459,381,347,896,127,101,393,942,964,705,810,
629,015,704,622,682,369,886,860,908,930,820,417,924,499,700,022,539,691,528,
918,150,645,257,234,224,079,551,591,693,122,432,669,212,747,082,658,262,891,
458,143,101,901,196,668,377,757,547,752,441,013,737,058,084,142,075,008,216,
764,161,443,988,899,242,299,351,175,888,828,575,497,720,020,421,380,607,446,
204,070,408,896,742,508,660,530,724,996,629,665,516,754,305,536,163,537,328,
892,395,345,704,795,777,453,957,204,953,403,422,971,036,391,445,610,264,842,
234,848,213,978,597,416,034,322,719,471,974,374,467,507,361,111,182,398,487,
082,318,216,814,579,308,678,786,420,965,478,078,121,968,472,195,424,801,989,
056,616,672,295,347,308,324,715,765,804,296,097,538,880,010,163,520,187,692,
934,996,180,929,761,328,559,719,772,827,119,548,519,043,962,946,056,043,072,
546,689,860,834,146,584,743,528,699,789,321,370,152,290,618,208,248,858,893,
460,196,602,610,644,866,324,230,681,042,256,586,648,263,088,242,867,321,220,
862,681,777,730,333,581,645,861,956,478,091,278,269,080,835,113,918,705,170,
314,169,547,946,413,215,718,305,591,063,688,395,068,731,981,466,165,767,579,
155,519,374,073,085,009,547,867,312,184,689,173,076,697,389,305,708,472,617,
405,515,135,156,051,399,845,147,822,555,901,018,840,423,471,389,528,023,761,
471,328,207,312,485,715,213,166,108,130,565,015,101,091,666,693,028,223,536,
962,805,992,172,855,811,670,383,555,358,092,205,364,400,168,713,894,829,334,
542,164,856,323,778,072,420,069,357,676,517,645,935,890,783,623,497,655,579,
118,436,373,927,805,888,598,092,765,323,068,663,425,315,915,425,683,626,330,
553,920,449,667,718,166,274,000,581,763,467,940,357,132,427,339,527,405,711,
770,609,763,871,053,610,242,132,840,008,987,954,380,743,801,087,872,351,787,
294,311,333,649,918,917,043,891,880,289,462,639,141,944,227,907,168,199,602,
672,155,464,465,670,687,526,619,504,519,696,015,220,534,744,415,208,996,543,
945,824,611,481,433,780,526,894,249,050,017,468,237,908,357,994,606,889,212,
165,346,475,138,611,003,141,221,966,231,019,678,402,859,029,943,954,444,200,
141,356,359,613,667,901,634,216,621,848,248,298,033,061,457,775,097,891,545,
430,942,671,335,519,859,143,714,319,506,528,306,048,026,321,335,655,764,752,
402,791,242,730,101,527,563,610,798,700,453,958,535,719,738,929,863,901,096,
774,216,939,535,273,095,260,508,497,011,339,622,264,103,155,833,324,983,718,
757,522,329,045,928,646,390,901,061,972,970,573,617,506,034,140,374,069,022,
185,136,159,645,828,922,786,378,215,322,889,361,672,937,336,426,194,218,947,
319,214,653,501,473,907,342,232,849,114,014,787,942,043,379,840,833,484,995,
958,266,071,381,578,840,692,452,784,501,694,456,749,595,436,539,219,495,111,
640,830,185,823,588,454,145,935,271,735,602,021,225,926,400,189,941,240,607,
474,912,713,811,940,607,177,194,990,034,090,201,828,476,251,507,525,765,669,
845,824,699,409,140,335,253,934,681,779,097,907,353,815,936,532,122,503,443,
366,055,194,719,286,904,654,569,099,630,750,284,552,127,488,217,649,256,812,
067,925,993,603,913,009,479,814,370,135,402,002,901,368,677,677,125,529,179,
059,156,325,591,940,223,774,123,753,614,208,831,456,813,807,953,612,221,752,
873,630,807,631,737,788,243,606,666,374,570,652,660,217,875,659,993,590,074,
263,927,303,067,662,158,271,663,802,343,818,987,298,753,012,060,258,785,399,
249,041,073,221,396,984,063,326,005,667,261,826,441,811,051,334,270,293,254,
664,502,506,975,812,750,272,413,846,455,754,186,471,899,967,977,423,032,134,
518,647,778,918,775,318,639,565,624,567,106,138,084,537,935,162,845,643,374,
582,987,786,283,531,849,240,101,682,524,565,192,876,071,659,726,614,914,819,
006,415,296,814,576,254,382,587,814,062,230,061,167,463,071,246,734,977,001,
915,823,562,162,965,417,443,963,967,656,444,590,202,597,273,745,392,637,012,
506,872,613,138,984,724,823,389,916,287,779,941,092,570,274,525,169,514,441,
866,009,831,543,087,439,459,497,045,881,604,114,331,556,486,455,544,845,795,
889,034,456,907,161,510,462,124,321,215,560,264,597,820,387,011,829,970,430,
129,562,854,071,891,745,325,188,085,026,331,099,848,588,388,908,992,147,497,
271,712,411,700,762,870,543,502,854,267,890,853,997,700,658,416,686,717,333,
158,139,309,201,753,673,075,052,522,629,019,118,233,861,848,075,239,818,989,
530,806,192,375,483,812,619,180,355,370,559,286,159,477,462,266,363,160,956,
720,828,277,731,469,762,440,405,795,168,807,789,587,633,031,029,426,493,581,
280,211,863,742,730,144,879,072,836,655,378,787,279,892,569,716,309,126,522,
347,698,789,422,559,867,270,843,578,194,872,954,236,522,455,595,127,247,376,
701,607,619,939,617,783,431,521,433,274,081,440,159,056,252,121,384,228,635,
174,894,737,618,677,854,252,942,349,632,368,303,619,511,673,007,720,057,791,
667,788,046,600,062,290,610,741,903,463,320,763,104,905,092,625,669,829,429,
091,437,247,711,784,347,289,605,143,262,887,676,464,326,812,158,785,326,296,
040,699,008,313,829,550,256,751,397,901,543,486,735,024,289,268,290,563,726,
725,660,992,406,866,258,590,047,190,440,251,520,184,982,388,985,006,002,616,
397,065,155,126,896,394,344,926,497,926,558,934,700,656,937,625,771,405,082,
925,437,625,204,216,348,562,851,554,022,247,982,297,794,763,430,695,464,859,
739,721,864,619,356,431,487,199,004,231,337,133,628,191,180,772,678,559,427,
750,277,614,215,308,212,508,153,009,333,399,373,096,556,430,245,150,359,415,
365,227,790,430,785,541,840,579,754,656,947,089,155,205,299,723,962,273,806,
073,858,275,445,518,496,020,699,242,813,203,488,410,610,295,119,233,919,466,
373,652,990,923,502,981,435,067,601,618,531,297,733,095,635,765,111,818,135,
389,943,699,556,901,745,007,222,164,473,556,497,020,470,749,855,121,946,173,
830,023,378,010,619,891,949,392,381,855,747,362,648,538,980,126,169,117,726,
190,331,008,500,531,369,875,021,858,472,751,076,887,345,675,618,723,955,833,
659,901,060,559,586,622,856,180,040,875,824,300,350,116,992,887,326,396,230,
894,650,075,916,800,375,298,302,582,412,579,315,145,373,565,225,717,351,817,
432,737,056,527,902,494,003,420,648,562,893,694,138,669,980,097,153,227,016,
356,959,204,055,667,544,214,676,989,051,562,033,214,213,154,730,156,538,621,
295,781,677,785,895,536,897,769,226,641,570,027,955,185,717,100,350,160,941,
385,411,491,435,498,897,212,561,123,606,002,038,259,137,912,956,584,694,142,
018,507,621,715,951,818,165,401,187,153,049,047,172,458,857,739,520,490,934,
454,975,779,387,529,649,409,116,100,666,814,681,350,244,083,679,447,006,535,
805,741,249,509,376,034,004,295,342,591,660,865,596,786,078,366,769,651,743,
716,145,987,248,970,005,880,316,605,244,585,726,202,096,410,463,763,846,003,
558,043,766,484,801,823,493,765,883,586,031,664,499,504,009,883,681,633,345,
993,133,289,189,005,507,338,360,473,769,052,229,149,800,206,623,510,606,025,
886,113,874,495,991,906,979,267,336,635,646,833,409,689,349,830,422,672,628,
041,696,625,429,721,645,424,279,862,979,710,143,478,068,532,669,372,167,097,
855,165,253,093,353,787,455,706,231,453,778,977,675,609,101,183,504,008,728,
945,176,035,570,280,523,499,023,529,332,216,951,326,687,318,071,789,902,244,
530,099,967,703,628,139,909,403,086,554,214,111,325,588,070,542,221,784,479,
251,930,405,040,231,568,461,552,524,861,816,446,844,287,979,950,623,382,605,
750,071,957,590,501,388,858,868,042,642,048,164,281,751,180,707,327,044,927,
719,922,801,651,120,467,010,376,294,417,295,231,931,255,117,669,191,181,898,
830,581,042,534,391,503,765,396,632,511,470,080,483,563,199,956,664,627,018,
886,447,326,614,865,913,259,707,813,277,001,990,741,681,602,275,935,512,065,
943,438,347,335,026,948,458,755,938,042,708,108,790,940,156,630,570,126,876,
171,537,504,739,852,193,443,069,422,963,478,779,289,416,989,281,385,741,455,
748,831,053,825,551,365,925,587,307,462,199,257,554,370,139,590,445,174,320,
293,989,190,440,941,378,429,832,408,969,481,370,229,257,561,747,273,828,646,
174,782,520,301,791,555,856,692,834,205,937,188,776,018,973,469,684,452,271,
183,625,105,344,701,938,979,236,295,962,381,401,383,535,727,927,478,946,622,
316,894,017,602,624,344,781,153,823,198,837,459,555,856,214,611,699,481,813,
975,999,489,558,943,409,721,456,847,421,456,846,490,796,466,770,798,237,764,
420,344,024,462,196,124,304,342,451,478,157,196,603,965,363,694,763,528,918,
081,094,243,896,157,035,964,331,244,648,679,503,818,442,241,852,704,655,242,
215,061,747,485,078,820,581,269,180,570,563,391,842,912,467,010,607,606,042,
549,170,984,337,390,073,738,842,270,936,947,118,942,517,296,015,621,317,850,
051,234,384,457,059,786,371,706,122,934,378,345,913,939,131,375,485,456,502,
797,640,035,399,172,178,897,135,130,060,602,357,886,274,208,751,697,550,082,
269,722,628,981,318,449,187,352,109,572,580,042,301,552,819,061,229,543,067,
515,213,543,859,833,412,118,002,848,628,098,376,579,379,535,443,850,386,315,
435,315,357,369,158,919,672,275,888,669,787,862,813,779,730,306,775,832,106,
686,143,882,680,095,631,702,889,369,898,929,177,403,766,502,359,202,532,701,
321,357,824,505,270,597,977,823,964,256,645,777,170,324,315,218,232,193,482,
232,881,605,752,741,684,818,632,214,569,824,547,311,878,060,806,326,295,808,
806,550,380,040,499,866,813,771,758,897,500,553,114,330,292,875,136,627,000,
723,959,204,320,759,286,074,403,365,339,835,370,737,618,010,596,350,819,694,
645,587,079,653,935,769,086,548,572,894,856,518,157,697,121,227,663,440,889,
949,742,025,913,366,612,848,814,769,516,925,291,899,626,158,979,075,609,793,
717,219,440,243,779,012,867,140,448,612,119,347,634,326,002,006,628,645,800,
991,319,980,754,385,637,593,231,979,699,743,823,335,102,823,634,638,494,358,
149,709,120,127,928,376,995,135,914,004,075,221,483,561,051,125,014,265,835,
696,501,014,889,741,978,583,051,523,933,375,733,920,488,426,728,884,543,133,
301,708,329,513,521,467,327,538,722,070,258,430,205,117,187,961,144,437,471,
091,297,485,528,632,508,059,569,519,903,848,267,168,987,524,554,704,619,085,
381,235,817,858,577,898,796,149,742,110,521,751,827,380,521,523,581,653,756,
361,747,338,178,322,139,374,807,643,615,950,656,303,735,056,638,582,487,002,
751,063,416,646,633,391,708,826,098,213,721,726,195,322,108,251,831,747,870,
330,991,110,067,160,802,259,115,698,377,628,601,370,306,238,089,234,904,758,
144,820,091,371,236,065,481,532,000,670,627,114,312,926,393,166,530,701,241,
116,320,381,830,381,975,491,732,512,483,600,345,062,494,643,758,186,396,808,
383,274,937,625,412,908,982,359,563,966,252,564,658,661,033,030,980,182,961,
793,812,232,976,590,428,530,030,045,770,465,360,862,367,959,303,517,404,202,
351,338,682,937,129,281,966,528,677,886,131,798,215,574,300,224,944,250,222,
225,369,431,472,428,725,949,643,681,570,778,679,578,479,664,614,012,227,342,
254,713,233,972,377,598,640,876,987,521,548,922,134,394,583,437,151,057,287,
760,230,585,170,448,949,397,839,730,608,375,714,622,523,384,517,751,815,376,
701,176,737,950,535,289,000,114,670,698,257,571,147,577,803,411,677,335,355,
325,631,008,202,960,313,938,409,727,487,082,497,078,661,738,647,590,451,892,
758,066,776,167,584,370,554,889,557,703,857,416,264,284,688,601,216,950,655,
771,349,774,499,594,218,462,265,479,070,240,653,124,134,142,453,857,225,717,
794,778,007,541,640,858,490,265,628,839,794,621,918,445,312,300,706,068,150,
954,041,034,130,807,149,281,086,367,234,204,219,488,653,122,367,075,099,524,
403,605,569,418,431,577,622,495,390,961,108,641,856,888,948,991,762,130,868,
709,674,778,641,347,915,241,555,095,055,466,110,929,714,940,983,211,119,437,
142,832,673,656,273,972,707,462,297,519,943,958,141,802,106,436,444,927,824,
698,531,278,886,486,011,097,825,804,000,585,194,883,137,863,370,290,321,540,
682,487,629,607,516,375,131,862,039,687,773,141,709,799,704,211,460,847,548,
003,108,511,348,266,143,934,497,654,231,155,625,902,667,151,655,004,930,094,
061,074,064,044,132,721,003,113,546,416,181,896,159,689,859,544,513,995,204,
226,823,088,566,489,280,333,805,766,752,642,153,741,436,147,313,581,433,958,
083,791,385,137,786,836,838,868,905,548,050,513,624,900,572,403,008,224,176,
517,264,507,060,491,132,590,732,803,796,062,206,065,607,063,741,695,393,098,
992,885,408,607,091,658,136,949,856,584,323,533,441,723,385,150,986,008,646,
537,779,490,283,701,462,157,260,957,167,102,600,973,471,652,620,938,666,938,
598,628,158,026,196,030,468,939,951,153,101,847,953,106,032,996,947,566,935,
534,430,631,234,451,833,986,798,256,854,439,345,549,067,926,646,905,725,826,
652,228,469,835,753,361,567,850,092,599,301,997,638,026,324,323,293,751,025,
638,238,146,220,525,282,185,349,181,726,866,186,626,957,284,697,765,580,207,
492,665,639,454,904,799,822,422,349,033,840,185,067,221,473,546,586,720,681,
151,982,633,657,155,755,413,566,144,134,168,350,267,425,922,846,763,954,765,
240,505,810,634,922,173,782,162,630,281,289,064,826,952,010,801,429,836,070,
010,984,927,809,872,187,302,461,630,649,099,937,087,001,079,316,000,571,848,
308,163,346,154,177,765,358,796,983,165,759,627,618,214,347,461,831,918,502,
617,696,164,321,610,065,317,067,881,933,591,947,672,911,782,515,689,646,058,
544,477,319,233,532,639,193,602,288,001,410,079,721,591,827,098,641,323,706,
952,793,254,670,691,032,902,922,492,683,906,606,768,180,732,582,337,285,657,
786,320,297,558,291,932,716,267,740,585,626,068,189,442,832,891,743,412,030,
386,651,172,455,218,305,359,910,673,636,989,875,492,094,619,083,835,287,385,
804,544,817,206,522,932,007,559,285,455,796,060,603,102,934,957,258,691,775,
580,576,141,976,666,539,689,083,003,425,447,689,650,722,978,826,955,078,382,
550,662,009,152,823,781,637,202,631,200,570,708,188,161,462,987,558,136,845,
297,531,698,072,678,585,830,472,169,402,088,453,235,335,832,019,037,365,389,
873,523,768,108,388,783,994,835,902,159,831,068,756,310,030,549,789,553,567,
575,566,079,510,429,871,305,530,465,785,236,049,255,863,511,438,047,293,483,
467,479,740,940,489,979,430,067,442,031,501,198,228,647,532,198,334,604,614,
762,048,349,661,075,455,605,244,690,924,583,897,913,009,644,188,838,358,806,
389,577,804,649,564,656,625,009,708,427,670,868,016,790,688,201,079,474,482,
895,755,038,990,862,155,600,861,035,728,918,596,119,534,879,877,329,527,702,
966,676,717,036,398,325,723,031,025,813,145,244,178,685,963,906,626,879,628,
279,565,071,832,434,084,878,211,389,255,021,019,105,092,355,287,856,635,854,
701,764,837,737,138,688,146,289,262,440,471,982,361,209,554,812,817,853,201,
563,353,111,124,744,402,579,961,184,403,181,202,632,255,105,838,141,549,061,
342,378,603,539,783,472,049,746,290,073,987,941,889,061,771,449,653,722,958,
112,068,947,237,124,448,176,012,838,596,107,255,191,072,743,167,050,532,757,
579,865,098,278,324,798,189,941,247,044,925,552,105,368,273,175,305,273,364,
784,472,568,419,641,164,954,433,968,971,815,560,664,784,756,778,991,640,663,
451,425,149,507,682,600,713,321,003,080,999,435,757,875,049,119,060,312,393,
273,311,100,079,394,666,102,105,571,782,077,098,794,382,066,640,015,099,372,
776,823,991,992,302,261,373,114,524,514,742,475,815,237,822,191,813,615,732,
643,652,461,563,861,173,394,872,799,099,342,172,439,148,899,852,841,179,552,
649,767,881,202,734,993,099,301,897,922,125,215,460,073,299,937,382,476,237,
491,604,859,498,950,659,390,100,896,946,897,228,405,156,784,093,555,030,987,
357,064,332,559,989,194,886,323,475,600,061,631,860,822,764,993,079,311,905,
054,627,986,778,550,569,152,609,574,105,929,960,215,261,233,977,633,699,948,
904,520,615,814,177,268,491,670,743,985,363,909,384,562,107,406,360,324,574,
660,119,738,492,015,972,135,109,908,001,883,183,599,482,702,768,069,942,479,
162,408,637,678,876,231,906,431,006,099,432,619,244,709,464,575,256,604,837,
973,935,249,385,690,937,317,528,307,160,619,238,681,107,644,816,285,012,465,
495,576,770,244,699,542,279,073,433,829,090,476,895,235,815,000,643,604,909,
523,838,173,682,223,592,906,428,738,954,811,982,444,854,667,120,086,540,610,
640,862,390,608,454,448,696,375,246,720,546,677,718,242,531,646,752,700,365,
628,619,053,594,052,360,609,754,172,211,532,984,006,619,542,091,697,785,141,
248,558,068,059,803,961,966,056,470,675,327,739,386,320,225,395,627,274,949,
878,298,027,578,204,697,697,888,244,420,494,822,933,582,698,747,221,238,824,
534,419,961,083,019,194,123,795,212,612,304,860,959,659,704,567,043,266,933,
580,598,027,313,653,664,934,808,467,275,263,165,443,437,354,616,689,198,278,
188,315,762,416,534,700,750,890,382,243,857,784,509,530,490,817,372,511,284,
531,327,891,575,624,626,263,867,799,389,286,893,504,779,793,227,052,378,891,
975,405,467,374,999,278,398,000,685,015,834,057,943,740,008,281,356,636,273,
543,831,966,418,678,547,090,566,618,033,604,548,614,877,364,888,909,630,964,
194,195,884,844,912,315,258,038,342,247,231,292,724,974,449,400,073,088,711,
306,876,558,294,355,398,021,685,554,823,260,443,703,213,948,152,910,732,410,
204,592,970,787,575,004,469,596,015,159,668,062,263,661,983,738,590,742,812,
410,293,533,043,869,390,605,074,705,784,824,202,038,921,195,336,305,646,965,
215,347,908,342,913,802,792,933,510,679,684,434,129,299,024,102,671,637,159,
983,011,031,898,906,837,981,791,085,158,274,569,325,984,889,161,139,091,011,
513,456,989,676,884,479,835,853,918,113,834,080,912,837,690,741,463,956,725,
691,595,502,550,159,460,743,881,231,702,846,633,105,032,131,971,067,144,973,
230,448,278,496,598,378,501,354,738,959,082,136,285,162,643,661,746,719,828,
962,344,429,225,817,320,657,760,993,169,503,677,094,136,858,618,993,910,209,
781,927,212,268,884,256,560,185,022,199,035,412,913,216,657,070,668,286,129,
325,337,332,242,541,578,811,059,117,330,181,033,154,443,921,902,222,421,254,
846,111,193,299,678,104,314,342,511,160,827,873,008,232,918,483,229,601,012,
908,586,959,830,586,680,593,088,550,388,262,380,204,914,163,509,900,873,378,
653,512,709,112,184,731,113,255,629,890,532,743,538,593,739,096,237,380,027,
590,199,790,259,113,549,534,235,815,019,547,896,258,647,180,325,572,301,209,
340,442,147,924,684,801,741,694,989,137,888,756,233,176,234,738,978,356,052,
058,506,668,969,034,730,118,883,965,901,279,824,863,159,271,848,242,461,093,
601,925,901,772,863,402,261,947,822,217,921,055,176,718,397,042,434,218,258,
760,824,392,786,989,731,994,346,287,584,111,940,783,891,961,388,717,514,081,
235,415,838,601,433,208,289,857,518,328,539,244,165,901,078,435,790,525,287,
455,537,645,975,772,981,431,402,643,910,943,480,326,653,500,437,334,823,225,
896,859,809,772,183,001,287,509,472,989,520,476,719,097,397,476,772,852,034,
117,384,060,186,969,266,370,893,335,734,641,171,886,698,421,277,090,470,133,
457,883,260,200,367,171,666,106,065,047,686,376,312,833,783,839,550,559,501,
022,785,533,973,484,411,962,810,691,590,104,371,590,051,074,505,377,856,188,
922,254,985,061,482,510,472,765,490,496,155,178,734,271,231,513,680,420,173,
828,624,582,786,609,026,629,076,650,772,640,537,962,532,180,251,806,357,483,
383,245,706,908,034,390,468,794,632,686,724,414,529,399,920,926,691,537,286,
100,314,555,483,782,656,815,248,217,681,689,431,233,673,933,835,702,158,486,
026,018,135,163,999,423,410,934,784,971,109,680,716,506,697,796,416,639,637,
561,907,389,410,668,225,608,211,166,159,053,602,319,538,675,211,490,261,352,
563,538,884,375,330,849,928,791,185,341,874,444,313,283,263,845,711,248,629,
742,846,677,187,542,259,439,634,875,348,222,483,482,867,051,749,145,624,436,
900,093,750,822,200,232,757,984,203,826,489,502,510,249,808,272,342,627,030,
245,953,126,663,460,399,437,724,019,098,184,266,500,131,719,281,912,308,306,
480,344,514,559,513,713,212,127,832,165,834,550,392,743,016,549,179,565,374,
825,229,550,245,162,657,826,657,429,599,189,797,995,836,977,904,561,693,453,
555,564,530,295,695,447,086,690,282,190,849,117,577,002,212,419,947,585,178,
596,378,421,973,344,009,798,032,562,102,608,254,762,484,337,612,930,897,975,
969,831,924,386,970,710,153,318,169,711,990,351,259,489,675,452,368,707,915,
540,459,077,364,405,910,582,616,540,179,970,608,481,781,037,669,454,585,902,
908,635,596,625,544,397,035,109,992,827,521,953,943,316,501,480,232,971,414,
006,601,211,508,655,288,553,099,992,656,118,490,107,071,261,954,364,259,181,
169,890,913,373,643,700,116,119,639,850,260,106,004,170,430,751,357,924,450,
997,023,130,859,966,958,392,211,998,013,808,399,759,582,652,155,970,899,959,
966,825,828,508,424,477,562,918,970,565,463,055,063,492,832,388,610,307,556,
160,923,034,906,291,970,149,333,703,456,528,264,211,015,985,021,136,151,017,
751,074,639,026,817,637,609,278,983,411,130,885,442,570,007,709,526,750,174,
014,688,375,345,464,095,451,563,431,109,992,507,087,359,994,140,588,194,979,
020,800,972,613,387,860,190,911,717,521,475,846,686,727,721,252,766,644,640,
527,729,838,457,762,759,030,003,310,551,803,705,666,170,169,096,794,102,137,
204,471,449,547,020,355,295,181,043,034,577,333,697,991,821,849,760,007,458,
999,190,222,657,300,981,867,337,127,717,799,538,545,240,541,996,583,902,204,
537,688,906,888,106,043,864,063,282,544,550,790,353,397,660,129,276,901,528,
214,800,443,860,510,392,480,163,750,079,500,041,966,680,413,205,342,732,888,
379,200,912,957,864,978,358,611,227,189,492,623,383,281,462,459,900,439,600,
001,865,671,183,831,963,503,410,773,981,071,671,881,389,461,483,586,476,332,
817,475,535,988,962,013,775,704,774,345,806,431,260,490,119,296,460,761,696,
157,058,423,899,005,798,508,142,709,386,221,112,567,011,640,639,743,897,913,
840,982,216,735,622,546,142,867,090,312,973,805,092,406,125,024,771,511,011,
881,325,428,533,505,355,297,944,041,447,466,851,838,908,455,099,853,945,299,
015,301,722,422,252,282,356,338,789,664,745,437,117,214,615,279,385,988,216,
844,076,738,964,356,602,258,267,260,787,810,706,023,950,209,756,787,736,342,
126,462,574,954,998,699,656,686,321,124,020,770,762,313,505,087,218,027,717,
790,980,705,494,831,630,177,996,005,045,039,937,181,149,485,220,537,607,116,
179,919,624,128,881,632,348,847,343,897,327,170,776,337,730,591,229,760,174,
855,526,036,337,955,007,073,137,073,392,002,916,830,580,863,794,952,935,406,
199,264,806,168,095,673,366,474,719,383,277,428,122,450,325,982,438,652,876,
372,863,240,259,175,702,109,722,331,491,983,402,727,853,135,432,760,090,499,
891,898,583,927,835,144,715,153,632,542,104,756,936,965,961,301,934,565,492,
928,824,974,259,295,690,334,849,119,458,367,232,387,199,049,728,456,033,053,
611,207,748,469,649,126,484,484,733,586,686,002,841,298,573,458,050,660,634,
588,384,752,037,997,291,106,035,702,386,355,001,705,304,681,720,694,061,299,
811,514,912,014,944,513,236,505,308,989,112,344,056,370,387,800,701,667,582,
174,675,704,001,938,361,028,530,581,010,057,344,913,368,898,574,593,551,047,
232,627,728,277,969,859,809,254,240,023,834,020,047,330,623,781,383,264,715,
535,444,392,001,890,006,963,645,657,358,996,150,486,377,509,280,257,447,674,
054,075,290,210,399,705,513,059,108,971,938,035,326,348,830,783,674,779,220,
564,964,549,388,086,293,256,505,908,645,115,108,666,347,336,891,308,187,182,
866,742,687,925,034,598,791,254,996,607,528,554,758,219,722,948,151,311,017,
763,839,117,643,434,684,877,678,072,309,231,902,120,416,795,268,239,265,749,
100,878,420,049,038,454,815,284,711,099,724,459,992,148,590,153,671,436,253,
863,305,187,916,735,586,725,254,875,328,328,981,958,260,712,520,458,704,282,
280,074,117,713,036,018,006,408,461,266,351,826,458,477,962,671,742,549,300,
130,436,148,711,619,902,761,869,709,907,921,864,196,353,921,650,694,538,176,
577,666,610,037,091,589,193,104,191,845,772,292,799,373,187,781,520,831,915,
422,578,150,972,575,335,721,790,620,571,852,677,781,235,393,518,774,934,719,
136,342,011,752,670,293,513,645,407,299,729,402,811,687,507,661,267,689,904,
338,743,633,812,052,310,820,778,522,402,444,363,025,857,705,041,821,245,542,
358,342,524,068,855,399,440,823,966,666,031,986,508,573,459,497,452,571,435,
047,399,341,617,335,643,386,802,804,527,774,669,863,538,641,727,810,346,597,
641,796,862,988,789,385,047,515,602,850,051,738,764,638,934,739,026,531,096,
484,568,654,177,522,654,166,031,299,733,789,427,817,378,659,534,541,359,799,
852,842,889,865,461,768,860,046,576,676,285,352,811,528,975,108,651,934,578,
090,690,867,358,164,972,842,058,379,312,877,471,430,290,625,004,019,420,466,
877,783,701,226,981,830,958,620,683,286,850,220,945,700,828,536,141,947,564,
788,514,090,344,998,249,825,438,076,038,101,184,380,410,703,621,621,764,789,
620,940,586,802,893,043,994,193,875,482,280,361,681,992,585,689,270,439,197,
163,344,440,463,778,668,134,536,996,115,642,224,173,733,032,621,191,242,584,
856,258,924,971,664,520,086,339,162,947,756,899,269,577,576,257,916,976,621,
798,857,011,286,367,197,851,571,426,919,687,344,534,893,706,378,198,947,374,
084,802,002,861,919,753,133,412,605,811,470,173,785,943,456,997,719,671,963,
417,900,298,388,895,449,076,174,589,960,782,438,228,651,898,816,509,689,361,
877,458,790,522,388,592,946,792,177,005,251,689,872,004,790,599,605,785,470,
595,721,100,202,648,627,994,472,533,368,462,021,931,209,480,432,442,316,815,
941,668,971,108,482,749,586,454,330,313,491,442,354,037,630,879,439,482,016,
063,732,561,878,430,274,530,575,810,702,385,549,979,976,710,454,678,592,112,
523,339,935,061,043,288,920,008,723,778,223,520,822,094,420,187,839,877,879,
850,251,879,263,206,989,338,352,918,474,210,623,813,827,945,014,890,992,257,
533,762,501,199,166,579,749,916,749,305,756,372,840,410,215,876,238,000,643,
522,126,924,475,232,304,579,531,760,391,676,562,831,249,524,365,625,399,520,
727,084,067,697,803,751,154,256,929,194,817,772,921,462,788,126,373,386,289,
684,775,242,862,140,263,541,999,138,566,141,166,506,076,302,734,054,233,912,
805,596,862,960,128,351,272,907,857,658,899,714,236,535,422,955,251,748,517,
911,742,121,857,700,855,839,757,298,445,116,828,718,314,611,316,737,553,028,
138,041,450,879,535,742,049,860,839,364,591,706,718,542,605,668,358,077,689,
662,327,174,574,818,007,076,115,982,345,355,808,056,462,269,369,292,849,182,
909,396,428,425,157,994,976,323,880,273,235,549,737,459,021,246,129,924,981,
882,959,089,921,927,568,826,049,763,344,578,674,231,276,460,857,412,694,808,
096,145,636,034,985,142,552,075,926,007,948,984,121,998,335,651,933,336,996,
386,940,235,767,483,826,927,516,879,439,219,960,106,916,683,579,336,516,845,
348,372,910,807,704,116,367,063,118,541,419,121,448,308,923,484,025,478,249,
383,162,977,919,620,653,421,395,532,594,956,576,750,068,642,353,854,383,084,
525,396,523,016,204,933,716,681,173,610,903,046,393,915,462,438,080,523,741,
375,590,901,777,056,244,835,238,321,508,493,032,529,573,099,176,009,891,784,
167,726,344,768,762,155,178,186,658,008,663,152,011,697,022,817,523,295,706,
918,359,185,675,713,137,755,368,225,493,783,608,283,653,007,455,833,588,212,
096,690,232,388,404,638,439,728,499,180,191,625,164,691,050,874,908,694,407,
897,447,408,706,246,844,588,101,223,746,629,911,741,474,094,598,894,350,010,
973,054,116,712,346,974,270,206,203,157,708,885,117,774,377,014,992,816,061,
112,727,778,764,464,646,785,035,342,785,495,864,144,081,320,160,845,876,860,
181,886,169,559,096,248,363,929,748,855,564,042,128,565,160,597,535,520,816,
288,759,388,673,723,169,311,323,881,691,226,428,427,819,489,561,374,991,652,
635,842,102,589,081,457,706,353,758,962,821,993,161,138,553,002,385,851,667,
573,866,669,525,794,883,961,009,868,854,186,644,338,961,648,716,085,120,173,
031,241,218,464,372,164,991,496,039,318,300,481,642,535,369,369,997,215,607,
220,398,331,638,475,737,774,507,944,463,821,058,409,917,994,815,145,552,809,
629,181,895,636,337,278,554,677,685,214,806,257,762,675,022,458,219,597,065,
093,984,933,056,776,441,170,849,010,218,717,440,216,219,342,756,045,064,194,
171,573,668,563,473,423,138,163,373,596,152,349,144,131,091,828,339,819,159,
947,328,645,311,850,405,638,839,379,769,300,559,009,560,388,023,314,273,879,
092,634,779,251,204,310,694,963,609,593,225,328,616,442,976,962,139,208,209,
020,304,713,358,973,639,443,040,228,654,569,590,307,171,735,567,821,378,526,
204,580,830,748,003,584,279,833,873,136,875,092,471,423,277,472,288,543,926,
294,516,744,796,805,555,413,774,385,527,619,033,016,081,249,780,128,090,346,
708,071,923,074,014,842,900,884,553,748,642,597,572,384,428,963,963,380,312,
586,929,284,463,008,149,991,051,604,264,976,566,578,135,572,702,659,620,517,
151,896,927,999,684,516,574,005,577,733,068,353,177,403,364,202,285,690,213,
146,644,478,991,024,642,126,001,765,165,026,133,834,135,870,661,343,052,387,
926,031,420,602,564,526,197,854,824,249,054,936,232,235,073,228,680,625,203,
665,969,369,035,790,129,027,166,901,556,172,301,342,294,172,728,318,143,157,
630,530,168,884,264,602,351,212,775,225,718,221,670,772,989,353,227,278,720,
749,620,357,677,674,464,467,088,395,146,902,392,119,947,348,250,776,051,076,
754,980,797,559,466,146,149,103,205,182,151,117,488,913,858,639,215,449,272,
590,051,113,832,961,071,068,513,640,784,054,834,019,006,238,822,367,068,336,
835,150,503,646,167,527,632,042,580,689,932,591,235,638,965,657,982,457,432,
306,573,478,181,976,081,267,762,131,275,795,218,464,341,396,765,330,682,408,
192,669,187,246,216,495,541,638,908,737,586,022,485,272,826,666,411,595,681,
852,573,731,343,621,236,825,187,113,846,866,055,456,135,935,130,633,789,404,
612,876,567,550,511,143,724,279,391,415,480,175,289,302,866,829,300,239,507,
751,348,755,723,357,254,035,148,130,954,828,430,203,466,647,671,270,247,863,
078,058,584,791,115,099,413,308,845,808,137,076,704,264,277,505,879,128,828,
241,076,633,863,847,572,215,966,459,553,475,153,565,024,316,803,925,098,530,
588,876,948,010,870,032,067,482,959,547,950,905,247,264,884,421,971,324,798,
124,914,925,585,298,835,531,182,132,399,105,175,999,047,409,383,229,351,253,
100,570,916,866,426,740,779,165,592,149,447,717,657,118,219,292,855,396,791,
709,252,730,325,751,277,130,942,006,268,169,234,037,910,657,966,635,881,033,
463,346,227,890,157,231,333,229,170,009,848,044,494,946,986,202,129,755,042,
849,721,464,900,599,926,283,233,712,118,686,447,774,796,036,674,955,437,646,
015,693,370,608,943,209,353,356,668,861,141,911,573,742,422,169,894,023,853,
844,026,737,258,910,517,859,633,188,093,345,436,234,273,206,664,952,469,213,
078,488,445,194,400,248,464,975,917,822,950,042,268,853,575,155,064,857,882,
608,368,132,673,976,570,675,242,697,923,566,722,427,946,299,208,421,080,545,
286,651,793,240,619,061,792,595,124,762,290,614,152,503,384,296,242,604,912,
931,318,105,899,982,988,722,247,004,337,452,367,768,774,490,761,516,092,834,
029,039,594,831,046,057,690,753,580,280,137,573,018,169,067,422,804,002,168,
497,828,928,835,253,422,001,020,034,799,008,070,493,834,232,924,309,708,432,
518,637,454,165,958,293,817,656,566,363,550,010,889,453,120,280,034,327,441,
772,588,277,640,335,741,944,820,689,740,341,202,924,613,871,696,417,642,908,
498,603,136,520,903,784,959,478,813,392,170,870,974,372,068,276,486,344,275,
961,583,785,097,042,481,478,310,979,802,961,615,325,202,707,036,620,498,731,
062,799,158,867,644,839,703,503,955,292,418,468,661,868,202,082,843,733,590,
448,300,792,731,976,174,791,244,163,816,674,145,155,218,201,117,267,086,387,
021,756,888,185,161,553,944,857,678,653,758,981,237,292,961,356,165,154,703,
834,597,018,638,771,459,469,477,208,738,705,573,261,165,072,945,624,946,282,
210,639,653,268,624,594,717,345,868,026,460,539,154,636,116,035,858,657,958,
257,681,859,535,871,708,999,306,811,592,860,364,228,418,319,584,503,224,689,
413,854,686,837,639,846,667,390,414,897,654,071,934,235,133,359,862,218,504,
705,888,819,868,236,646,929,647,348,323,593,656,804,572,226,102,006,483,294,
925,123,817,220,216,655,863,102,797,839,981,467,262,307,682,168,300,163,151,
361,129,936,070,594,369,252,979,923,274,103,221,018,713,062,123,923,443,467,
449,698,920,291,585,197,714,700,301,100,083,555,014,322,800,917,073,616,262,
213,718,003,496,144,789,652,547,999,996,907,633,185,648,605,921,769,371,479,
544,395,347,505,627,771,911,099,954,413,609,863,436,632,085,495,463,826,153,
263,237,986,572,036,866,564,348,966,669,626,369,104,526,346,216,905,260,566,
296,796,306,888,550,169,876,522,537,923,375,306,158,688,471,604,469,114,294,
804,804,399,011,435,429,751,455,621,879,352,024,209,460,352,671,069,596,945,
726,117,385,127,421,272,296,273,700,948,850,881,106,372,087,051,128,577,712,
797,666,262,788,042,543,401,665,071,898,891,636,613,288,199,830,942,693,025,
650,088,703,477,404,722,551,698,508,265,211,862,583,848,144,207,970,236,988,
567,452,513,175,908,060,290,898,569,938,076,234,204,630,252,799,424,438,542,
067,368,121,430,572,973,512,893,486,089,187,591,780,164,868,218,113,112,648,
880,371,166,652,556,303,099,705,192,675,476,704,285,708,787,397,189,012,705,
885,064,955,323,453,109,509,726,504,698,384,912,770,429,533,729,469,457,631,
696,482,292,257,943,151,408,791,398,957,907,547,170,007,986,131,144,431,487,
602,997,924,642,788,499,000,812,936,982,950,784,976,069,738,167,094,638,166,
125,414,842,043,161,974,769,160,955,772,891,992,259,843,724,771,918,324,810,
686,067,346,526,573,399,639,867,655,866,895,549,549,291,300,331,192,062,461,
989,818,398,906,999,628,345,120,370,372,737,047,145,035,076,125,183,944,169,
002,226,828,086,446,462,303,754,609,749,545,178,949,798,716,062,101,985,784,
083,944,008,646,169,375,719,986,092,417,212,843,214,723,284,948,484,207,832,
418,986,298,639,826,880,370,515,709,842,693,695,047,097,804,889,629,953,000,
194,015,744,730,313,896,366,814,393,469,377,592,771,117,968,815,700,424,777,
589,790,005,156,873,756,611,718,669,285,836,410,914,117,948,203,070,119,346,
372,788,866,057,003,427,984,085,017,998,767,382,361,057,256,214,428,322,570,
242,198,860,609,189,108,932,532,520,648,713,398,542,940,800,562,341,722,230,
742,016,935,718,351,483,103,125,255,241,765,065,163,589,318,325,994,033,853,
842,879,022,058,616,529,703,355,021,764,034,304,474,134,041,250,449,526,460,
047,345,234,964,311,217,799,909,240,716,602,617,234,134,817,925,898,772,365,
172,509,236,906,199,019,130,941,093,883,469,385,062,067,571,558,090,550,641,
971,632,145,826,333,874,619,468,932,566,440,703,050,436,552,540,868,749,881,
228,299,903,725,559,221,244,854,924,421,161,715,751,734,227,348,661,055,254,
199,235,225,893,771,172,170,503,777,801,539,396,843,295,067,079,916,052,696,
481,561,775,464,433,598,498,971,020,143,046,762,673,417,809,344,181,331,260,
670,972,035,986,075,533,701,032,548,384,206,354,740,256,490,513,491,584,156,
588,100,054,552,648,363,047,061,108,065,284,021,204,693,507,431,673,097,685,
340,078,480,066,055,263,691,248,725,341,086,350,020,357,044,795,694,039,069,
283,040,576,693,241,060,221,104,413,870,686,069,870,058,879,566,248,837,334,
092,612,734,542,163,224,794,143,574,650,781,403,440,511,264,185,104,902,558,
358,425,880,974,551,223,847,258,291,113,404,663,144,739,014,631,514,797,818,
209,809,709,959,099,749,105,220,808,404,775,897,076,600,296,085,752,780,036,
486,058,318,901,207,362,047,615,794,698,746,862,762,737,290,712,874,459,690,
666,701,232,637,795,041,896,465,555,528,250,045,458,234,641,202,357,686,065,
005,182,407,372,142,121,668,839,435,104,261,874,493,805,865,303,728,392,370,
613,703,466,529,862,533,369,905,122,424,185,636,577,004,088,970,484,468,450,
219,840,595,473,844,264,421,215,219,361,272,898,188,618,000,746,904,459,409,
192,654,757,123,660,720,994,042,231,440,500,445,864,821,986,850,726,997,832,
765,483,980,830,397,588,226,367,321,234,574,664,575,536,088,250,603,608,802,
819,740,364,795,340,112,955,538,396,013,455,666,143,219,529,975,068,958,400,
287,005,889,251,155,907,352,488,536,315,223,520,468,476,938,784,700,909,751,
584,748,304,668,409,353,166,349,013,470,049,497,462,664,586,201,725,212,646,
356,794,492,546,068,962,652,457,922,026,266,921,594,907,542,211,416,716,953,
722,141,689,085,278,645,000,175,378,099,407,082,996,119,946,982,741,179,175,
807,824,177,314,304,768,620,326,965,200,593,446,469,763,220,464,732,368,749,
493,363,174,025,730,175,003,917,214,963,444,294,778,165,437,218,299,682,253,
591,229,892,492,896,295,931,054,284,399,512,836,980,586,378,013,575,235,934,
690,588,913,275,761,800,760,266,774,538,065,013,281,558,724,829,190,764,650,
119,293,347,526,262,228,076,919,898,933,507,397,892,065,257,873,447,772,492,
009,810,351,875,689,955,042,424,813,777,537,461,639,781,493,983,178,802,841,
951,522,506,646,093,273,135,364,397,557,532,676,606,781,858,747,798,206,607,
101,125,378,495,607,036,321,807,514,081,348,300,075,579,111,961,015,063,185,
587,222,940,492,265,710,499,221,877,313,257,668,714,138,167,649,076,694,578,
483,564,600,030,586,901,386,209,071,008,527,163,334,373,166,991,678,846,204,
950,735,078,195,085,456,686,512,547,656,295,922,378,041,988,068,393,991,369,
657,418,854,714,446,567,755,185,359,399,200,215,663,969,871,992,116,273,333,
940,822,543,605,747,085,109,902,805,091,623,630,210,197,279,600,895,194,338,
168,961,344,173,545,513,591,064,627,490,459,032,576,428,717,346,851,783,347,
708,209,810,537,139,389,237,931,783,245,153,183,875,085,606,384,583,574,289,
822,601,363,786,325,977,575,035,266,074,145,732,424,441,336,484,513,369,839,
444,959,168,406,570,081,516,539,280,579,821,113,233,039,354,902,373,775,445,
424,080,042,794,403,467,942,923,380,473,775,782,226,196,966,665,088,938,632,
103,903,736,393,062,846,414,471,161,106,325,767,484,752,037,162,001,260,770,
179,784,499,723,669,333,620,838,890,878,234,859,886,420,810,300,573,892,429,
832,908,456,798,071,435,958,536,475,796,009,993,704,881,703,932,052,298,311,
172,045,692,376,844,160,569,625,757,037,341,487,648,366,561,845,652,778,656,
399,547,489,538,308,341,293,296,034,664,870,034,171,295,648,817,908,304,341,
655,383,796,310,095,227,076,276,258,540,292,316,381,916,248,494,965,099,548,
362,134,160,929,097,689,192,081,536,883,035,771,085,991,831,167,354,168,108,
446,785,646,406,687,948,707,122,134,923,375,485,787,367,960,016,072,245,648,
643,493,890,443,017,504,692,258,295,905,005,887,999,356,392,730,144,075,210,
334,154,784,919,095,845,703,318,134,940,950,828,483,997,113,779,163,375,422,
858,809,808,169,026,166,070,107,472,534,867,810,705,474,975,290,263,636,619,
818,901,485,987,086,703,004,580,384,045,374,423,389,992,286,518,714,201,983,
354,722,283,494,687,135,458,540,821,851,943,726,263,325,238,941,235,919,125,
485,609,590,411,024,880,453,103,953,532,315,660,364,601,607,170,673,881,525,
274,612,487,567,370,732,512,467,671,152,138,284,793,133,768,523,303,453,814,
570,871,534,753,392,294,800,047,954,802,221,883,627,939,390,393,980,637,850,
764,143,560,432,101,726,020,665,265,666,133,895,025,321,106,097,708,955,747,
718,253,707,584,496,585,118,158,615,619,854,730,401,610,694,839,874,682,667,
637,034,703,406,648,015,394,737,859,136,268,662,425,059,929,209,754,552,893,
761,053,102,859,110,111,857,624,025,679,252,366,464,184,736,149,231,279,915,
707,615,598,326,760,275,124,790,478,797,249,475,629,819,596,426,864,427,355,
714,205,466,603,334,860,890,176,270,237,274,377,147,036,897,625,812,769,586,
729,416,403,372,275,322,634,972,152,516,327,544,562,094,090,996,176,870,461,
000,898,418,906,758,368,797,972,341,366,556,957,959,849,742,088,554,732,722,
014,762,776,531,912,029,857,411,223,769,415,187,962,830,615,217,565,383,886,
688,949,144,753,762,746,240,373,561,049,561,722,897,255,477,585,713,162,308,
093,356,271,683,950,290,811,439,042,808,097,212,891,269,514,043,173,467,154,
901,708,993,395,231,958,585,253,470,930,646,317,084,999,911,232,395,498,130,
664,293,453,023,475,115,509,771,703,636,058,611,971,476,378,967,400,405,493,
276,209,135,774,726,155,251,051,597,076,196,863,050,855,695,249,448,799,555,
154,592,540,180,792,442,211,029,247,632,125,816,903,140,598,471,224,571,334,
777,803,410,409,452,261,007,808,004,472,700,945,765,588,234,184,764,846,930,
690,420,089,440,769,716,286,798,456,097,501,343,423,822,990,198,163,352,284,
664,630,459,598,156,487,156,130,457,664,712,361,868,366,548,418,400,868,435,
197,310,653,368,186,760,073,037,828,526,222,274,869,539,096,710,107,909,824,
154,630,473,931,678,461,319,584,658,251,936,322,864,709,998,302,116,272,524,
195,261,883,809,896,168,636,122,214,276,799,796,729,243,861,240,958,662,550,
410,915,652,668,639,211,880,371,131,206,905,362,444,377,782,815,835,728,848,
591,086,112,218,584,536,169,629,813,233,608,624,771,536,133,399,284,002,888,
652,855,866,157,463,528,868,477,478,200,443,629,196,778,015,237,975,314,785,
025,695,549,812,074,076,806,814,853,795,747,453,341,427,125,237,458,188,004,
035,473,883,314,779,222,576,613,409,777,855,021,033,093,999,310,001,799,338,
491,196,964,392,141,760,552,825,195,589,976,038,435,969,146,443,599,360,482,
511,835,750,102,231,440,398,727,086,330,816,757,173,706,651,136,027,465,017,
650,531,860,847,683,215,816,144,491,907,613,507,734,369,626,971,316,141,682,
987,046,960,588,501,124,944,361,004,772,043,977,774,977,421,249,568,357,326,
965,974,653,168,985,251,482,094,475,641,046,164,830,219,114,120,752,749,762,
619,886,850,452,781,200,402,841,273,310,121,227,185,113,643,963,698,173,018,
312,576,473,465,963,300,981,482,325,850,528,579,279,399,780,073,716,721,334,
879,067,023,740,863,979,244,271,709,475,538,606,394,393,030,119,850,332,817,
932,554,185,902,066,921,080,790,526,240,380,061,295,837,191,750,620,411,470,
981,718,602,469,645,003,730,409,264,893,806,291,068,828,322,153,520,253,374,
729,263,799,120,935,215,488,411,109,543,934,965,000,342,956,562,523,751,390,
850,026,511,759,383,757,647,957,969,840,834,261,504,226,735,151,352,581,949,
364,390,150,579,023,389,206,509,607,800,734,856,041,371,826,826,576,523,532,
231,633,866,282,017,358,618,654,209,339,281,531,044,132,683,637,560,268,119,
580,048,155,487,547,206,269,519,630,210,458,034,107,638,332,829,920,098,084,
183,636,130,606,587,301,034,413,832,964,525,996,601,871,582,643,150,615,483,
566,209,770,929,746,895,431,229,156,294,594,482,181,433,305,130,346,894,072,
312,800,939,824,687,089,309,165,271,682,338,346,220,700,288,966,020,159,458,
052,403,175,774,385,865,318,384,822,930,546,983,897,994,993,408,528,443,263,
597,876,030,542,978,942,340,782,933,440,791,630,293,116,027,935,977,026,888,
954,021,540,076,169,814,509,758,184,723,446,380,385,390,890,572,012,997,662,
357,475,236,755,876,492,602,962,138,635,323,720,341,556,460,663,889,164,649,
711,663,828,310,455,257,277,747,874,200,179,411,857,494,503,636,882,414,769,
150,792,534,451,317,692,008,978,425,090,107,958,013,406,927,925,249,544,063,
822,547,712,973,834,237,046,514,228,565,338,924,140,861,211,865,015,655,787,
717,051,045,668,764,520,922,010,729,721,917,331,960,892,419,257,915,199,720,
819,568,646,748,455,192,475,939,529,526,182,359,038,522,010,504,814,134,635,
442,788,437,579,438,010,317,593,480,999,757,527,461,923,239,227,003,788,229,
576,982,630,826,902,859,501,793,056,338,545,186,119,556,923,424,679,244,985,
606,402,875,421,486,459,473,346,884,941,082,399,711,240,107,582,237,437,574,
016,616,859,093,732,422,057,715,117,530,936,465,034,047,774,822,150,502,822,
675,164,426,324,054,474,129,938,352,744,542,230,747,176,857,527,927,517,150,
456,399,848,853,674,905,148,635,495,832,588,736,437,259,166,217,473,832,134,
500,556,258,015,803,786,337,617,253,175,834,224,919,293,498,539,041,227,614,
676,995,137,837,626,930,614,982,327,463,729,678,974,325,998,733,774,814,572,
995,593,854,908,982,250,199,351,415,128,505,333,063,883,671,296,951,856,511,
202,133,772,014,599,756,224,254,618,860,604,975,297,140,602,729,559,642,639,
030,606,357,906,407,383,913,232,096,412,573,304,908,418,747,810,208,745,365,
312,582,835,756,660,806,502,437,272,495,066,109,889,112,375,471,206,031,255,
784,498,260,938,262,231,663,951,195,700,456,628,368,624,664,828,932,982,304,
378,278,505,046,323,654,209,677,584,628,239,865,211,708,753,068,970,774,591,
000,615,529,941,865,714,197,503,969,588,194,742,922,871,236,055,866,779,242,
297,035,596,008,343,997,493,787,346,803,696,845,453,036,764,198,889,474,861,
222,278,658,418,994,704,874,160,204,885,353,442,984,887,208,178,087,927,908,
665,109,673,985,651,078,414,683,780,249,378,250,149,777,841,109,073,714,503,
402,698,811,022,238,796,159,612,446,388,653,687,826,027,317,069,107,929,986,
591,328,787,737,677,186,756,436,724,903,978,148,076,376,118,356,726,224,435,
768,932,444,209,769,713,629,315,116,422,383,680,486,913,978,469,702,441,528,
647,501,020,408,920,154,622,981,646,541,012,851,587,828,562,544,560,309,594,
678,133,916,944,988,943,155,770,075,242,373,072,992,201,583,061,167,577,360,
314,135,259,784,997,915,053,858,517,129,360,419,184,782,642,372,030,724,987,
872,341,600,628,137,905,893,960,650,935,425,316,937,611,695,933,796,439,072,
943,567,666,355,802,303,450,315,141,776,174,999,493,771,885,947,173,793,802,
998,097,403,136,208,347,430,577,722,294,995,195,920,345,586,095,117,538,495,
731,494,068,949,080,315,700,807,797,289,986,468,460,341,174,585,029,327,607,
405,776,938,375,546,472,248,491,918,718,187,324,384,545,488,018,055,770,854,
126,726,006,954,416,606,995,464,197,058,313,032,639,832,899,239,542,718,696,
857,887,352,148,837,264,340,321,661,372,396,602,986,553,697,452,815,602,580,
351,133,599,245,661,693,468,514,641,705,147,973,125,258,196,524,653,472,795,
568,152,717,644,838,510,097,312,272,112,263,110,549,766,154,920,472,214,320,
490,605,913,391,348,541,148,118,145,221,378,461,943,573,148,687,458,160,127,
580,353,640,715,461,925,128,004,979,825,148,544,978,949,910,753,750,624,817,
300,141,379,428,007,572,917,522,177,090,830,358,872,741,230,599,569,072,191,
992,827,278,059,976,006,003,751,388,849,623,623,343,790,303,649,579,738,640,
396,682,246,380,116,745,536,326,595,054,342,664,700,330,633,068,664,563,394,
048,858,042,124,316,771,640,673,347,442,568,332,786,383,963,731,031,057,696,
149,795,985,647,932,624,518,890,881,861,605,441,718,717,381,858,713,527,534,
819,269,586,715,616,718,137,686,703,667,410,671,169,005,564,431,081,316,259,
618,756,267,423,231,492,704,445,359,408,671,394,797,188,532,121,958,771,906,
268,632,408,034,606,280,419,882,608,639,630,157,540,605,533,646,611,883,479,
039,869,971,352,367,835,286,115,611,979,246,082,742,561,438,655,022,883,644,
639,859,126,639,024,366,705,624,643,340,032,532,950,346,326,281,475,874,346,
036,694,041,041,943,437,004,386,386,960,249,206,240,286,388,140,960,927,871,
225,995,800,721,727,441,163,490,920,286,991,113,785,688,519,022,962,528,844,
180,359,457,597,497,106,008,040,953,979,555,667,339,281,421,848,021,801,383,
450,895,829,534,524,724,761,617,635,422,917,727,181,807,232,029,249,512,919,
800,098,598,820,315,010,842,122,840,802,755,567,652,897,746,545,470,662,603,
550,386,030,363,250,402,314,465,828,601,722,421,087,473,707,566,784,328,752,
331,590,538,264,423,039,857,374,152,622,185,369,830,234,630,904,857,064,906,
739,546,209,887,023,905,357,171,971,926,144,216,229,798,912,016,371,549,145,
323,279,065,871,086,848,008,101,864,878,793,454,133,461,211,222,755,051,329,
082,610,759,600,886,157,852,596,113,843,719,376,032,671,054,375,537,962,077,
808,558,696,976,841,755,925,595,315,679,578,394,651,261,923,792,358,400,637,
583,301,006,346,088,083,470,470,228,809,012,947,599,206,664,414,208,368,874,
817,583,985,545,163,297,435,867,688,521,566,306,140,685,563,547,531,915,678,
862,977,433,819,738,660,086,854,847,127,707,914,199,034,044,266,480,769,153,
195,130,043,859,016,245,392,485,713,201,399,977,607,825,401,499,772,202,316,
266,285,248,245,141,822,346,004,055,583,497,427,264,580,313,058,905,625,985,
708,773,113,396,522,167,277,471,167,800,195,457,353,105,245,388,724,873,001,
301,332,523,740,422,178,446,558,777,781,113,007,490,254,816,929,814,544,511,
796,788,080,289,477,974,650,498,736,485,352,752,963,032,760,610,192,329,766,
748,190,457,145,122,809,690,310,922,321,732,294,298,586,941,256,195,151,610,
246,813,175,658,361,025,022,112,887,957,404,245,133,433,793,325,182,284,439,
627,012,468,219,264,908,345,455,365,645,857,873,111,364,021,243,411,488,478,
371,359,294,014,265,468,614,752,751,560,558,120,951,894,853,490,396,331,700,
887,283,564,297,184,829,900,753,394,808,443,397,801,042,669,623,499,203,846,
269,663,614,440,282,263,507,135,626,677,240,641,041,204,853,994,372,881,946,
068,800,963,816,658,167,671,674,985,896,966,330,231,586,604,123,725,870,600,
903,611,558,961,438,218,770,339,010,852,079,911,422,957,697,457,535,830,673,
701,456,701,506,962,401,556,929,565,521,259,231,748,804,732,135,557,469,785,
637,397,486,653,911,488,899,611,569,127,176,209,095,900,005,696,182,797,843,
470,482,877,530,313,593,258,353,704,722,331,702,807,534,872,103,104,746,292,
406,687,732,169,302,437,237,585,013,329,512,309,687,833,058,556,348,250,617,
875,005,506,752,065,402,245,295,324,284,854,963,935,483,310,013,669,884,877,
229,765,002,118,994,596,523,062,028,993,906,876,383,865,329,571,535,292,622,
436,072,335,083,830,651,144,144,142,779,998,844,264,211,645,219,029,682,610,
358,087,435,108,315,231,203,154,380,737,890,638,408,039,357,219,766,922,846,
829,463,519,718,096,681,192,833,867,031,679,840,543,761,921,030,843,887,747,
511,374,118,510,492,965,795,218,463,014,583,560,286,801,289,965,714,460,114,
022,895,926,120,805,648,508,096,782,934,267,589,962,544,599,676,168,494,933,
834,218,338,382,615,388,958,694,889,513,407,027,996,325,598,073,682,255,378,
663,879,128,313,556,373,298,614,368,643,804,014,884,120,773,320,966,674,861,
367,476,025,870,133,997,211,889,489,981,989,553,179,419,310,476,463,831,752,
275,862,509,861,665,350,134,045,475,053,793,671,403,796,803,862,368,348,133,
307,674,646,137,052,913,456,082,408,959,991,025,673,636,950,270,702,649,418,
660,069,040,945,862,707,415,779,540,911,326,261,127,035,416,303,229,639,381,
248,690,416,868,423,458,142,524,187,299,173,454,533,262,172,627,432,182,599,
289,317,615,159,679,571,216,206,572,145,066,765,824,071,984,251,517,540,438,
906,647,576,233,791,077,684,131,146,374,355,661,593,406,253,717,125,105,260,
187,118,177,429,119,505,244,512,901,371,286,871,083,326,637,059,984,357,786,
495,351,088,364,475,205,214,941,688,364,625,881,018,493,696,535,825,757,858,
879,820,235,881,746,333,396,326,104,931,118,434,713,896,918,821,657,937,636,
373,774,334,537,429,311,806,791,788,572,549,533,042,577,045,940,594,113,857,
381,256,546,417,484,718,068,376,398,075,950,714,678,792,594,477,054,490,564,
479,504,161,257,557,412,301,713,419,020,232,632,952,115,939,723,323,337,099,
678,199,599,734,864,778,224,905,463,781,135,405,728,625,401,575,688,183,002,
280,438,422,180,102,724,319,268,982,510,877,902,853,529,748,387,929,590,963,
658,958,819,756,619,284,933,415,262,932,410,173,222,884,551,732,718,257,662,
975,280,891,701,916,519,003,485,996,147,111,051,189,319,063,844,495,642,674,
072,547,247,773,803,940,627,670,744,954,129,394,751,674,246,978,372,397,300,
970,471,981,175,332,793,100,550,738,571,741,908,830,090,127,325,458,777,089,
013,014,076,705,227,155,315,733,117,647,639,410,917,521,006,091,293,894,467,
756,617,430,130,961,413,778,196,552,830,437,867,867,334,246,107,548,750,312,
622,114,021,903,160,557,520,368,639,156,208,005,909,529,009,492,391,433,063,
116,960,252,801,469,904,491,095,189,038,282,351,681,134,538,353,551,904,112,
960,869,371,491,861,616,543,965,652,825,322,616,058,592,321,743,691,564,316,
600,587,370,074,559,399,156,321,961,756,151,524,637,778,583,843,194,186,696,
760,609,564,256,314,925,878,857,872,593,851,523,490,561,979,265,789,449,688,
512,142,350,545,297,301,453,910,050,583,227,635,100,915,853,961,449,808,366,
914,076,888,824,475,152,244,173,898,156,656,816,410,883,010,015,792,861,071,
367,346,716,527,821,002,058,084,804,850,200,423,387,369,880,191,981,654,657,
916,194,457,050,448,604,358,992,451,564,808,668,723,541,976,660,186,436,975,
808,183,697,232,889,914,128,949,986,712,419,664,623,235,761,385,167,282,000,
290,130,384,619,178,392,069,745,603,011,163,762,232,128,154,678,597,887,608,
091,568,918,709,770,908,157,249,877,544,902,264,288,285,715,297,360,169,294,
094,758,947,871,107,410,813,897,438,725,794,692,540,912,996,580,307,723,340,
337,071,252,334,012,300,122,824,618,738,519,145,994,503,044,926,282,092,825,
133,971,854,165,951,986,126,811,736,525,171,804,423,360,002,123,636,165,128,
087,229,931,746,650,850,340,993,926,173,526,453,736,485,306,061,699,888,632,
597,457,305,360,969,381,072,807,566,113,100,198,282,086,889,008,637,974,269,
493,021,552,752,214,598,309,421,423,375,661,665,760,410,376,207,272,732,572,
250,811,481,622,480,600,663,917,424,399,004,024,754,425,143,059,066,407,192,
582,087,386,152,014,076,316,165,394,167,433,668,795,425,684,438,920,896,102,
432,560,234,905,321,715,108,377,142,459,961,739,347,127,492,240,970,589,544,
694,704,861,422,122,425,386,765,799,851,035,168,654,823,661,729,337,440,515,
351,128,951,458,948,843,884,355,203,913,139,793,460,104,148,625,529,025,238,
380,754,755,639,553,126,843,589,483,633,500,934,994,782,659,611,160,579,729,
524,504,762,274,130,974,443,991,948,309,035,358,379,682,055,197,302,582,378,
871,113,192,569,229,159,335,545,205,471,110,798,069,287,086,799,419,000,268,
181,152,842,347,913,312,608,398,668,315,464,361,421,281,257,298,342,669,716,
327,935,890,086,854,652,456,158,221,348,622,325,344,851,730,388,105,774,139,
115,958,602,408,226,752,302,778,823,933,174,371,219,606,708,291,102,287,571,
890,508,020,044,369,388,894,027,941,589,551,322,735,567,998,279,410,126,256,
403,142,948,255,142,756,805,269,444,416,403,685,935,017,537,965,752,659,432,
140,708,183,589,313,978,794,429,435,283,668,874,585,010,044,262,730,185,301,
928,785,058,144,989,019,557,848,553,180,771,824,345,661,005,056,714,446,338,
392,225,771,310,431,981,727,614,828,000,203,984,926,852,566,946,153,371,187,
651,418,222,862,137,021,681,534,801,456,874,872,169,993,109,777,948,806,450,
872,353,523,125,672,051,047,062,475,630,870,065,011,712,581,469,437,828,400,
515,388,461,282,310,069,964,480,252,920,169,695,635,170,100,355,049,920,558,
145,547,144,712,579,443,379,959,170,989,244,754,565,739,459,462,653,003,546,
640,697,000,020,706,867,631,209,239,352,930,836,432,794,581,185,729,001,876,
277,526,508,407,883,715,306,040,737,351,388,808,292,345,579,222,873,437,894,
697,068,692,056,881,666,116,537,360,086,541,129,390,871,759,530,291,111,183,
873,791,361,080,275,275,804,611,731,464,454,387,002,121,849,789,650,871,056,
440,137,869,378,551,597,360,581,399,859,316,400,394,204,340,193,480,349,663,
082,676,707,905,027,431,159,764,493,486,389,408,399,174,036,894,250,028,187,
568,426,247,950,404,967,926,189,863,585,816,623,526,837,902,602,321,397,057,
506,456,119,143,388,122,591,563,811,521,473,582,241,127,445,833,340,940,394,
113,451,516,857,927,867,536,100,271,968,009,837,322,771,434,424,265,715,308,
524,999,526,875,605,844,126,491,688,115,889,032,439,686,540,939,747,276,060,
528,631,080,323,627,912,317,257,174,066,347,567,585,696,545,591,656,741,089,
192,006,271,569,606,700,614,772,038,135,910,501,366,979,760,986,514,032,672,
114,940,474,176,180,195,279,253,025,546,693,294,292,381,699,674,371,113,126,
533,688,268,288,397,275,023,402,603,708,405,835,103,621,407,033,562,427,018,
789,221,623,267,599,146,118,861,022,795,755,903,516,995,413,141,222,735,091,
434,494,318,209,427,269,838,420,831,128,729,227,924,289,755,794,675,077,143,
078,574,068,246,619,805,882,026,345,729,752,123,879,644,043,017,047,113,643,
882,722,823,045,043,984,566,404,788,560,185,500,756,427,540,666,164,496,435,
058,694,347,929,242,862,952,207,298,650,635,083,857,174,354,624,550,954,646,
961,169,343,472,458,451,511,507,253,232,581,295,148,939,783,222,696,677,678,
927,476,788,171,257,000,972,130,156,839,531,044,964,920,173,532,272,657,829,
942,797,978,894,539,685,361,180,699,053,776,024,155,996,115,790,041,995,034,
672,919,699,504,759,728,805,003,358,487,825,699,307,760,496,326,195,813,949,
873,491,476,508,533,917,083,759,127,242,954,417,431,903,566,135,240,491,838,
436,228,702,224,223,536,566,981,271,986,090,231,738,814,754,980,198,471,323,
631,312,153,730,481,004,765,245,490,056,306,831,096,566,767,032,136,098,932,
712,842,898,661,544,539,075,972,760,418,690,033,187,283,459,926,283,074,241,
293,561,203,014,985,122,716,105,657,912,089,217,998,786,128,520,902,203,901,
313,780,665,738,130,103,121,046,194,887,991,121,441,368,817,668,207,958,634,
247,492,695,752,854,818,223,166,481,738,248,785,197,809,252,341,253,684,768,
016,047,979,907,732,326,882,581,325,878,688,948,882,084,526,423,321,045,895,
965,790,870,449,903,301,139,370,927,263,526,187,281,287,079,046,693,822,143,
142,774,997,026,202,973,044,112,116,405,939,435,078,786,187,783,339,111,248,
945,771,677,936,261,590,322,933,166,308,901,389,745,005,909,360,866,059,571,
181,753,784,856,969,755,446,094,205,456,833,367,476,965,044,211,618,371,088,
144,356,003,067,142,198,262,637,421,196,553,901,547,866,689,761,673,640,414,
546,434,269,123,205,896,815,176,277,794,356,153,172,138,839,301,344,530,560,
629,425,472,941,738,266,300,650,504,968,066,065,821,093,769,304,017,009,740,
598,600,343,997,583,698,034,350,158,299,972,159,300,752,279,818,946,027,022,
249,144,585,139,791,748,145,031,570,249,318,507,541,352,368,762,436,936,896,
809,258,417,316,093,456,255,744,773,290,843,531,451,913,439,495,859,453,923,
187,536,191,661,894,515,961,713,615,791,083,878,937,687,285,325,319,715,038,
311,605,616,379,260,726,886,775,071,621,746,018,073,144,443,938,024,114,484,
287,346,183,921,054,343,773,910,854,054,596,357,635,227,930,309,692,463,195,
065,834,804,739,661,098,891,664,242,002,777,864,321,836,669,083,983,726,806,
318,080,400,274,912,305,281,057,914,652,028,756,218,099,022,662,293,464,894,
516,840,860,857,312,832,707,208,366,061,290,994,882,127,189,548,681,776,292,
881,082,211,389,337,525,621,868,616,156,922,708,882,635,916,524,651,501,330,
537,301,476,442,846,343,210,351,801,940,333,696,365,732,102,540,354,657,761,
024,372,022,279,538,264,620,906,658,193,925,887,778,620,720,430,865,359,426,
420,759,721,301,586,290,080,649,786,288,628,181,442,098,425,927,667,583,105,
163,279,472,509,777,535,294,904,156,530,478,735,773,342,563,099,260,236,798,
821,324,143,387,624,096,055,251,404,783,287,101,656,393,107,799,922,562,034,
809,612,653,885,085,138,919,038,053,638,763,235,762,889,032,117,122,933,259,
325,818,250,859,314,362,824,238,108,549,159,341,715,365,727,590,421,164,926,
100,732,215,187,611,303,744,138,725,280,019,420,084,871,936,413,934,553,536,
856,006,524,913,301,213,606,098,543,092,214,351,683,085,486,208,480,146,216,
220,999,159,285,381,585,059,999,653,686,549,656,277,700,549,031,947,024,599,
252,516,604,224,828,059,170,953,043,052,302,321,255,188,033,442,170,144,561,
421,507,882,767,028,529,497,797,370,918,473,886,038,001,014,494,423,203,953,
330,837,402,315,821,238,024,183,965,024,764,239,010,735,171,252,464,097,792,
062,536,765,411,380,217,693,249,473,101,855,053,593,485,881,038,364,143,140,
114,637,878,545,651,307,238,482,371,154,900,883,817,521,522,795,454,792,524,
050,249,825,796,937,014,146,948,071,320,153,034,502,493,769,085,261,439,281,
174,173,712,481,622,710,027,507,681,454,694,280,017,745,907,205,013,596,539,
763,657,674,020,997,649,474,434,317,460,293,548,166,404,134,398,618,025,025,
708,808,349,039,334,789,837,982,208,479,307,058,026,861,376,647,888,253,756,
987,022,105,855,211,572,843,483,975,946,529,860,971,036,757,785,809,463,990,
144,350,410,249,185,957,677,505,284,992,181,836,051,584,114,364,559,166,489,
532,826,546,549,877,948,929,444,739,761,303,491,517,313,768,602,415,457,357,
027,825,396,487,073,482,827,467,832,347,602,583,155,348,185,139,547,829,528,
493,088,941,437,322,685,897,358,027,194,642,533,118,505,133,508,843,241,714,
870,939,588,501,263,524,043,852,965,367,201,967,013,558,906,973,962,511,412,
289,713,780,448,989,527,066,533,906,489,222,608,145,448,496,610,240,064,036,
676,804,845,381,900,351,006,077,257,647,428,005,342,588,030,780,348,011,260,
967,334,173,073,407,773,358,578,676,902,155,968,920,767,588,677,611,450,314,
184,730,795,901,283,632,908,570,829,966,839,779,124,452,626,070,261,490,464,
914,949,704,826,107,894,383,093,553,943,377,824,949,622,691,390,029,519,553,
373,279,859,648,071,882,145,866,706,385,391,450,094,205,738,158,932,811,192,
947,462,639,729,651,917,410,957,075,026,235,460,864,513,857,945,124,055,447,
213,164,645,091,219,702,276,629,308,970,754,739,280,557,518,522,285,256,252,
072,797,599,564,046,530,861,486,195,354,444,898,505,661,689,064,703,909,608,
430,543,277,711,238,277,292,051,431,418,600,572,444,590,755,170,939,804,837,
313,087,514,918,336,014,236,048,667,466,343,119,586,415,184,463,659,723,491,
847,833,190,229,518,974,836,949,772,967,726,509,062,321,101,123,581,383,931,
214,843,739,086,463,578,560,441,740,049,488,813,253,375,182,108,640,175,700,
642,659,035,979,774,440,892,347,259,721,614,732,026,811,742,937,735,651,554,
754,782,654,086,219,132,865,463,322,922,262,574,712,095,769,354,095,697,311,
306,057,736,750,290,014,682,748,349,700,449,260,844,458,330,701,611,502,873,
897,639,794,428,354,525,201,283,619,894,455,699,816,415,703,121,914,022,586,
581,489,941,702,409,040,561,224,536,574,568,675,782,497,000,888,259,517,957,
988,296,244,835,027,334,156,977,096,977,399,351,323,485,794,907,885,558,260,
732,556,481,841,584,806,518,866,113,848,388,737,160,455,660,351,458,101,030,
983,944,672,875,286,101,955,860,028,474,377,867,383,908,316,387,626,327,816,
052,280,081,741,222,155,350,737,635,364,756,854,810,932,955,754,671,246,509,
442,449,501,617,841,800,002,508,985,713,319,871,925,114,030,487,647,890,293,
297,635,167,031,876,997,521,120,934,115,622,169,721,903,600,309,179,983,636,
992,258,495,154,508,647,739,011,452,747,146,726,234,178,114,417,931,554,517,
777,066,494,449,850,202,990,733,744,905,674,664,998,714,303,161,195,795,265,
783,205,327,158,083,355,482,477,198,320,624,905,227,863,856,537,379,803,809,
847,088,305,339,400,571,404,461,976,471,303,902,891,650,499,054,607,039,535,
959,293,139,706,839,839,425,144,015,130,205,471,889,652,760,028,258,046,906,
328,175,477,651,324,040,066,050,051,475,694,211,623,413,059,025,232,147,085,
591,177,053,774,768,114,634,097,500,512,708,731,132,966,086,457,544,878,720,
990,839,246,623,422,456,798,709,391,886,078,739,549,011,850,868,358,186,828,
044,600,536,312,111,047,374,104,050,847,027,957,694,268,225,631,013,568,727,
583,287,051,208,384,772,948,043,494,852,758,408,285,389,374,800,470,836,200,
557,458,558,135,723,035,988,437,564,042,259,889,731,888,688,450,651,314,876,
458,418,227,924,397,685,383,079,223,593,843,829,415,161,919,957,175,311,048,
337,380,085,275,056,249,255,665,395,070,148,115,078,711,043,580,805,456,337,
186,425,302,760,568,388,805,147,202,019,824,014,441,991,544,747,989,481,282,
872,316,181,105,059,886,840,704,699,445,938,371,724,361,125,892,906,699,199,
319,537,429,937,815,040,364,413,404,579,496,572,517,789,321,305,253,552,014,
439,143,152,445,906,763,602,974,004,927,451,961,295,781,592,544,742,130,978,
618,306,001,547,109,431,478,446,266,976,201,433,824,160,963,462,444,334,327,
929,144,413,249,747,082,573,609,329,317,809,811,465,734,552,945,058,769,541,
401,471,791,131,359,307,152,697,950,545,003,596,986,642,469,302,357,413,957,
160,784,914,169,036,266,721,711,165,531,457,739,240,191,108,199,742,377,572,
869,231,443,808,171,445,632,654,475,541,791,692,425,417,627,110,791,433,282,
086,848,230,241,007,731,995,897,868,816,099,314,782,288,083,758,443,909,894,
911,209,375,869,751,483,140,923,904,387,126,754,585,105,502,192,166,566,613,
350,802,688,244,976,771,952,839,904,939,330,267,777,321,025,621,058,637,843,
201,949,962,187,727,907,012,346,105,412,242,725,686,299,204,639,803,287,202,
654,105,564,439,542,229,276,302,964,321,028,020,146,016,957,105,448,858,270,
074,677,017,516,059,158,138,728,482,282,911,723,067,381,864,755,376,223,081,
054,139,118,869,111,807,083,632,497,437,867,179,558,290,640,246,417,968,845,
796,891,337,231,971,665,768,055,758,480,913,246,088,284,483,315,398,499,992,
520,717,619,296,747,159,168,499,804,471,106,070,256,869,211,556,691,934,479,
103,723,557,335,132,232,118,088,258,433,745,375,253,884,964,973,778,793,209,
714,240,880,497,247,188,562,356,724,914,563,653,007,497,344,347,665,326,693,
943,140,820,099,629,175,980,030,152,535,347,850,765,865,668,683,969,020,988,
264,695,199,931,109,363,885,158,166,187,900,765,120,652,781,352,305,998,340,
507,421,437,778,825,952,748,666,179,367,986,934,580,325,144,841,418,703,403,
552,653,644,584,972,812,188,776,171,829,873,421,542,666,430,222,078,817,450,
876,919,226,738,135,804,944,506,950,000,066,310,432,891,552,213,539,363,387,
486,357,833,116,501,103,219,501,727,130,875,172,283,235,423,208,788,329,732,
878,339,819,812,826,359,465,013,742,147,965,320,378,257,951,150,711,168,464,
458,802,563,471,043,926,363,750,745,534,278,129,493,548,942,754,933,428,855,
989,156,282,663,812,519,189,021,796,401,533,108,163,347,854,210,408,899,802,
804,044,277,218,688,940,535,965,705,289,433,601,277,845,950,481,979,751,846,
469,227,866,956,243,786,405,928,359,095,306,399,101,365,885,538,397,445,901,
826,048,077,491,502,475,291,455,837,770,725,318,482,102,615,380,873,385,246,
170,044,006,718,037,681,578,335,512,604,155,086,987,872,266,937,315,517,696,
193,137,285,872,550,306,828,839,749,660,949,687,222,672,366,405,147,171,725,
309,140,532,724,417,762,821,688,379,494,669,253,894,864,605,172,456,622,156,
388,809,420,817,753,767,930,621,358,603,686,705,585,232,583,919,159,175,031,
370,509,965,907,632,823,399,745,305,860,506,887,761,473,364,877,427,524,034,
579,648,126,684,244,074,848,722,857,845,073,484,317,360,429,909,311,048,963,
347,886,304,296,063,328,807,679,982,116,360,354,894,546,557,042,773,131,900,
007,913,266,745,916,626,475,637,977,499,868,380,228,002,092,476,382,211,359,
973,747,832,839,463,781,240,955,164,054,682,699,573,951,232,445,961,273,322,
934,597,866,387,543,503,386,280,286,678,937,051,665,686,801,363,978,362,470,
473,788,084,878,361,899,050,804,772,304,487,437,558,496,760,721,798,768,677,
670,083,935,587,271,867,302,361,850,994,638,145,340,950,174,837,390,351,395,
503,202,045,665,286,782,912,769,566,651,856,113,981,353,905,507,922,399,395,
535,103,766,599,472,998,035,502,910,022,903,268,661,082,215,091,995,493,189,
007,099,070,595,862,280,193,801,450,913,639,862,174,272,908,166,363,878,650,
414,648,095,092,087,385,816,592,760,435,180,368,588,005,629,805,539,393,959,
946,991,328,256,093,874,359,386,327,077,186,430,811,752,393,804,552,255,615,
378,088,036,165,659,269,893,920,131,568,314,396,772,308,636,181,197,132,243,
833,213,230,819,102,884,423,969,738,115,830,698,698,271,258,653,745,040,200,
066,633,173,953,646,725,643,225,961,510,925,625,674,153,144,861,765,466,584,
652,690,009,734,512,291,711,060,052,005,471,652,031,150,030,562,905,414,811,
598,953,978,070,924,432,729,209,323,416,009,350,693,514,155,562,110,760,381,
612,874,004,649,404,739,544,663,708,558,439,818,607,523,852,463,598,430,262,
540,145,875,131,808,904,672,420,288,250,934,705,621,016,583,275,069,574,834,
559,769,811,781,354,722,696,199,228,283,843,953,786,434,750,152,390,649,551,
278,754,050,799,931,158,577,628,808,339,508,921,370,007,679,808,483,995,710,
339,812,443,471,009,713,966,529,200,464,544,717,074,972,696,293,028,954,314,
571,456,334,083,374,664,363,882,015,213,693,318,484,173,008,839,491,673,370,
233,351,670,494,693,451,140,968,250,729,383,836,505,361,105,033,298,794,911,
266,659,709,793,331,090,428,080,382,604,882,747,494,983,111,814,693,290,555,
197,043,537,857,819,961,872,748,408,578,802,342,170,877,482,171,540,096,435,
958,263,934,818,764,180,431,751,362,369,789,592,709,612,065,797,160,241,886,
789,519,826,052,401,741,756,471,041,081,629,850,414,221,561,755,501,608,793,
980,416,970,304,630,928,170,210,297,038,780,779,425,308,152,112,285,100,559,
170,606,452,418,730,918,470,912,632,592,123,264,606,053,952,883,836,625,523,
951,603,050,818,604,672,992,968,249,637,303,543,841,161,922,715,426,446,098,
716,831,136,865,000,560,705,943,547,528,042,939,992,043,690,818,287,648,088,
656,216,314,099,125,946,127,716,010,686,270,308,474,097,227,475,120,778,843,
709,386,719,681,566,645,051,765,829,037,817,256,890,270,522,948,477,117,432,
945,697,913,080,783,922,611,380,192,254,539,807,145,399,811,031,307,512,529,
534,634,903,891,123,310,203,740,238,383,649,851,442,767,426,331,296,444,375,
084,865,604,959,698,418,715,300,330,214,941,418,403,161,048,928,823,379,117,
996,774,605,210,657,274,512,037,415,004,863,700,576,635,900,867,854,539,288,
179,138,678,471,321,260,525,360,543,146,155,250,271,330,358,587,896,172,738,
477,782,596,117,572,677,623,785,991,910,504,835,474,434,036,718,646,425,969,
708,884,215,354,636,543,269,930,986,306,444,030,406,946,100,660,916,056,296,
584,530,046,900,133,993,660,998,947,780,907,610,843,024,814,806,757,962,430,
182,056,492,274,465,748,792,364,904,243,014,222,850,051,328,470,058,772,565,
410,880,145,688,835,669,965,672,744,634,273,683,914,862,619,668,048,033,219,
195,618,825,821,876,517,125,464,305,116,097,975,700,197,407,714,453,550,214,
561,677,278,365,236,867,511,104,463,180,423,656,875,472,552,326,402,271,915,
685,156,991,521,469,047,090,362,070,499,941,429,297,067,491,869,338,947,796,
537,043,064,683,339,603,308,345,037,702,058,099,585,029,966,219,560,796,119,
885,882,364,409,978,455,643,240,401,474,541,090,827,741,158,522,618,695,309,
739,776,641,121,782,928,110,898,723,500,737,223,945,385,458,921,378,285,316,
308,877,792,588,925,544,559,622,926,514,333,116,001,287,917,296,522,061,969,
850,116,677,427,115,892,135,202,444,633,137,489,364,846,175,247,235,716,121,
185,997,641,329,349,193,575,873,846,346,370,231,962,508,135,531,534,021,575,
171,479,513,340,661,792,465,967,842,578,982,507,217,016,838,683,746,655,462,
182,447,121,840,258,236,912,319,742,316,206,701,994,014,102,304,279,752,380,
220,794,077,975,807,785,377,084,255,317,230,926,930,475,015,283,385,730,340,
795,861,939,061,472,001,761,045,732,333,633,173,938,055,388,261,143,923,179,
341,741,749,778,944,252,644,897,821,066,138,233,230,416,632,094,884,550,050,
698,841,726,250,460,389,587,257,614,626,231,066,742,174,578,771,781,335,420,
835,338,224,871,181,107,478,411,921,418,889,409,161,630,617,676,432,930,402,
485,112,994,120,835,052,740,073,341,178,805,390,771,094,879,838,565,885,678,
258,930,319,779,794,596,969,152,564,931,226,250,986,745,803,972,583,000,620,
910,862,002,844,738,054,993,645,355,523,700,817,619,297,647,136,709,996,362,
105,334,817,204,998,581,239,520,293,121,992,169,247,805,854,489,762,929,595,
263,465,269,608,877,027,309,579,691,776,335,589,858,127,184,169,016,853,004,
494,431,766,790,815,909,358,776,801,502,751,228,726,303,535,145,605,259,258,
807,398,121,249,911,071,741,954,786,220,437,024,145,695,965,993,518,634,963,
331,734,360,933,070,989,945,942,055,430,205,997,052,754,500,126,083,166,895,
434,332,541,118,847,026,642,755,558,964,259,639,109,019,483,871,051,162,506,
291,703,885,354,408,186,652,511,517,272,696,216,615,482,356,278,136,876,731,
008,307,046,385,406,183,529,170,011,273,197,914,543,765,231,273,085,431,449,
287,928,249,655,507,572,053,226,709,058,058,191,722,281,749,938,547,827,590,
029,294,330,582,251,498,214,113,502,887,390,384,896,042,213,693,792,072,384,
047,857,987,215,865,559,151,625,785,115,232,948,905,877,193,214,771,904,091,
444,913,793,393,631,744,383,147,826,763,444,642,957,031,319,798,611,424,827,
644,593,789,632,562,378,649,643,950,848,205,928,977,960,366,244,717,540,051,
910,243,773,837,645,348,733,767,751,818,276,584,926,837,919,697,079,978,474,
857,889,943,972,791,905,513,543,771,950,967,543,536,135,085,309,407,493,899,
513,314,806,259,676,644,720,255,765,832,460,500,965,279,640,672,164,102,153,
547,678,126,081,276,512,868,183,511,031,084,720,351,523,896,099,542,380,701,
010,374,512,006,372,719,305,671,386,582,402,108,757,696,141,848,696,618,684,
812,378,826,759,566,655,784,867,401,473,645,407,872,424,793,444,824,433,305,
827,859,499,628,499,899,531,574,472,458,933,631,169,815,827,271,370,242,462,
068,502,288,158,631,004,408,617,889,946,667,498,426,579,177,009,479,246,069,
370,801,353,555,791,464,111,617,979,769,715,389,746,810,543,694,379,748,412,
824,602,667,278,722,480,474,373,524,770,765,254,576,619,492,360,615,936,836,
249,519,742,401,422,940,949,168,835,977,849,634,533,455,855,717,604,600,154,
255,103,728,121,490,368,753,284,085,690,580,371,324,057,393,115,852,670,953,
815,738,071,235,513,594,773,864,015,418,459,388,743,531,273,574,005,974,706,
170,342,043,885,307,571,489,075,032,998,405,730,303,794,924,361,292,747,907,
888,990,079,753,831,779,771,404,200,567,211,655,622,116,477,957,371,341,011,
293,163,983,375,527,701,011,246,383,214,225,546,131,824,029,904,092,925,427,
525,256,946,251,196,811,972,906,597,343,298,832,002,837,176,395,262,577,966,
863,304,386,308,049,949,615,519,627,785,669,104,812,504,554,412,556,351,962,
409,329,167,410,501,129,367,655,812,269,614,675,716,693,288,953,545,063,306,
321,820,819,425,554,821,711,602,174,528,148,365,241,565,388,080,284,314,028,
247,212,600,076,047,521,040,919,580,951,294,034,636,637,864,795,388,466,543,
530,377,996,964,414,213,167,763,748,755,324,900,714,306,555,254,338,438,689,
314,873,650,352,848,490,513,988,798,566,572,155,807,846,452,336,652,842,413,
563,958,734,153,010,765,691,529,773,311,917,003,525,886,158,793,600,026,947,
518,381,597,021,776,080,518,139,786,351,634,767,842,765,261,572,934,283,599,
911,046,045,900,723,176,170,915,707,129,389,337,486,780,164,802,968,990,694,
732,651,246,692,966,999,644,190,417,471,737,616,518,035,203,291,423,692,348,
808,094,853,323,456,128,537,598,979,464,626,089,518,902,522,021,890,815,342,
956,983,227,698,494,995,249,326,787,936,309,060,119,424,203,165,088,756,322,
535,579,888,271,696,624,022,641,980,110,564,722,561,975,417,852,470,525,536,
936,132,346,824,387,834,268,854,230,668,417,163,981,646,647,626,128,098,464,
384,344,984,749,841,415,148,466,341,331,196,505,750,879,714,301,311,032,330,
835,928,442,322,934,095,430,674,565,879,197,680,883,071,780,444,851,302,896,
449,577,147,585,839,563,299,402,106,088,169,896,252,778,607,339,229,216,579,
305,336,940,936,894,869,083,279,619,328,573,804,625,391,615,510,076,795,278,
129,562,663,521,209,918,824,063,636,912,173,720,313,972,512,749,481,239,351,
179,322,874,101,861,879,339,153,508,953,449,064,609,703,170,159,543,463,848,
884,193,803,193,393,111,996,072,551,871,852,856,161,467,300,271,075,420,589,
428,549,499,053,601,600,397,322,419,160,937,828,845,500,656,357,865,476,075,
981,697,870,962,917,198,584,973,768,284,637,462,594,327,930,794,049,048,045,
752,996,380,412,782,290,711,926,350,637,084,502,264,195,833,832,865,751,692,
933,851,222,418,120,939,908,201,345,816,072,470,992,424,733,191,431,046,083,
764,704,106,771,261,223,522,540,739,511,058,691,362,328,021,002,628,453,651,
340,463,977,542,546,765,396,301,268,388,031,747,076,467,426,684,756,429,592,
923,660,573,105,596,081,704,298,697,545,874,580,703,755,070,727,899,612,442,
809,346,345,713,440,039,281,598,538,362,922,032,193,448,216,978,686,092,307,
856,546,045,321,750,916,562,586,493,224,466,440,290,223,744,504,230,356,211,
634,038,874,647,469,622,266,508,503,826,406,577,462,775,095,049,020,914,024,
966,888,611,297,415,555,550,419,500,184,343,808,695,649,687,140,615,135,199,
968,974,430,942,490,205,132,211,166,984,272,912,925,984,602,573,328,309,298,
091,819,655,214,193,055,841,352,840,452,805,900,832,914,353,691,703,666,283,
815,230,756,903,224,593,561,208,924,897,449,189,147,372,309,123,100,648,278,
843,153,588,446,702,675,256,288,480,062,157,381,166,875,366,362,790,666,235,
709,042,780,589,343,409,498,354,616,059,622,573,184,367,891,351,972,217,514,
602,838,865,298,543,864,655,229,052,924,743,332,199,247,397,493,553,474,183,
040,776,427,492,938,895,343,357,578,849,596,206,310,184,743,393,451,842,119,
903,456,830,535,601,504,915,011,701,018,464,471,766,669,915,665,928,273,085,
925,079,528,250,587,303,688,574,898,947,256,665,818,435,753,307,586,555,228,
998,631,809,545,564,449,711,061,968,940,861,679,807,434,082,749,342,177,518,
746,688,611,954,765,294,234,909,705,213,690,386,674,006,388,764,781,104,542,
694,769,979,134,721,748,846,055,741,558,004,258,945,100,527,281,485,474,861,
428,928,237,097,470,313,015,381,447,344,595,884,236,974,428,698,454,615,998,
562,247,820,355,823,631,218,747,859,353,705,312,177,894,942,183,095,388,585,
442,806,824,196,438,785,868,504,279,367,918,242,353,937,064,583,727,397,203,
138,245,867,119,191,871,531,239,602,293,478,596,108,168,985,434,895,186,426,
433,190,129,494,670,258,881,934,865,962,741,422,932,193,952,833,343,913,158,
827,452,645,537,734,064,855,385,439,291,834,876,776,917,982,988,871,544,803,
812,784,140,393,858,109,161,058,097,023,668,694,600,586,317,942,313,283,816,
953,640,253,216,221,170,551,569,961,729,905,069,383,394,960,572,640,671,095,
746,936,277,423,135,664,157,907,153,720,038,057,606,171,999,940,392,205,264,
614,238,732,711,256,198,078,418,574,481,197,291,243,574,760,193,226,469,463,
769,380,379,277,749,978,719,456,553,522,599,733,160,803,286,253,703,781,817,
318,162,855,751,321,415,386,297,753,134,963,101,536,981,651,487,389,018,194,
504,716,472,549,278,064,370,933,085,308,744,189,281,672,716,671,325,760,879,
069,869,959,665,576,322,449,788,666,169,594,615,342,816,872,271,953,579,796,
602,365,091,265,878,553,873,196,547,340,087,045,079,159,542,673,664,359,102,
919,912,336,966,201,646,822,059,931,587,357,554,569,571,913,467,177,150,958,
032,328,412,831,687,176,944,363,050,118,470,914,651,124,766,601,301,132,122,
189,080,490,561,219,262,799,156,432,996,293,957,081,304,617,186,565,743,207,
780,732,213,790,128,560,102,110,297,119,079,178,625,898,059,316,514,228,865,
214,795,601,650,759,216,725,395,882,411,448,780,785,230,583,530,013,739,943,
823,033,149,075,240,799,867,102,059,342,843,403,499,625,254,691,987,270,262,
331,698,283,262,325,327,380,658,889,539,532,144,268,705,438,825,631,722,681,
563,540,925,113,869,069,370,883,692,011,406,643,697,595,787,169,147,095,742,
788,243,730,241,499,558,803,917,450,975,767,378,347,512,182,029,716,690,288,
799,749,525,531,112,022,802,109,903,890,572,370,756,214,747,551,238,735,000,
482,822,838,047,491,932,989,793,742,284,593,804,929,881,780,499,775,606,799,
712,597,593,833,723,832,602,347,246,444,910,197,596,673,281,007,317,798,976,
522,289,512,632,927,183,462,575,448,122,293,852,785,056,864,457,888,313,405,
953,889,163,650,470,413,884,787,709,124,343,948,316,183,560,283,980,747,627,
968,364,873,733,137,361,781,090,330,733,413,454,785,310,939,340,904,445,303,
693,718,917,900,909,768,122,964,972,336,795,876,097,180,504,813,491,916,014,
798,082,406,761,021,321,732,697,355,589,483,491,509,967,825,789,364,058,355,
012,283,800,453,763,930,236,964,852,750,343,013,041,724,828,684,606,218,094,
219,264,100,304,426,513,201,875,777,544,148,821,711,348,008,374,181,913,624,
366,094,705,261,691,943,982,875,644,470,361,392,187,920,768,909,478,894,437,
014,872,069,859,250,433,714,044,282,274,746,020,764,611,980,056,722,205,677,
913,565,503,640,084,109,331,364,400,604,020,644,721,217,946,286,595,144,288,
568,220,406,513,527,280,804,640,500,891,887,616,342,855,162,245,082,992,290,
053,656,193,302,190,542,758,647,650,127,633,817,564,675,990,974,544,779,006,
755,493,417,753,233,273,514,042,756,230,251,326,887,851,779,114,100,002,467,
839,353,498,446,646,520,777,960,969,620,985,359,806,175,497,086,706,796,634,
434,068,613,688,464,508,990,683,109,173,618,395,539,361,604,295,521,649,287,
431,367,365,454,417,895,219,697,651,686,411,938,146,457,396,622,610,284,477,
952,915,245,927,341,072,260,772,080,434,220,399,913,277,680,947,839,139,288,
142,176,872,618,105,684,789,238,203,377,006,272,626,802,409,945,733,589,986,
407,513,181,604,410,159,612,775,238,983,146,663,353,600,368,638,481,189,313,
802,343,973,157,440,258,516,029,515,554,129,378,523,338,201,349,736,842,447,
379,764,748,281,707,940,849,525,273,882,608,752,778,292,960,544,518,620,203,
277,744,446,689,284,759,731,908,634,455,918,467,817,267,347,344,024,641,521,
480,970,161,349,927,252,876,375,439,572,196,433,554,777,055,061,104,523,538,
474,432,322,080,130,778,099,854,523,011,745,753,449,974,883,434,434,533,708,
106,611,945,649,019,551,247,899,391,259,707,858,223,659,334,679,414,715,634,
116,475,661,052,911,883,923,316,293,787,346,943,528,589,486,008,333,326,005,
552,575,608,036,702,039,292,262,341,615,806,906,339,894,813,224,594,895,813,
739,261,970,360,661,555,540,439,827,716,371,334,144,608,310,344,379,017,738,
599,136,201,855,670,533,837,861,695,249,436,738,695,235,556,374,981,348,295,
092,253,667,178,073,630,217,779,475,860,797,927,176,471,042,104,518,989,256,
530,775,040,959,169,044,619,558,644,487,377,579,156,173,883,827,032,100,671,
621,460,254,022,509,423,533,261,579,236,136,791,795,066,645,463,528,955,112,
394,376,556,424,689,268,944,796,625,727,812,123,699,609,584,745,334,747,830,
357,610,022,122,748,026,451,740,574,533,776,241,769,721,116,078,397,484,004,
665,436,573,681,252,110,899,224,453,764,337,402,785,641,085,835,282,060,018,
538,812,908,118,211,527,595,545,552,014,276,865,908,220,932,990,513,614,277,
558,647,678,363,866,488,949,232,486,935,261,447,591,282,134,351,921,047,324,
094,521,603,424,711,940,534,360,109,834,347,671,332,946,951,570,566,622,494,
066,361,829,532,106,274,910,009,635,209,114,565,455,392,595,598,678,601,984,
928,415,023,945,414,860,492,151,704,995,680,885,110,141,268,479,226,813,947,
359,725,172,157,022,716,617,053,220,314,512,390,109,194,248,595,208,287,212,
904,739,098,881,885,867,813,203,603,814,327,905,587,893,957,936,740,412,502,
317,258,054,901,337,085,463,283,087,111,836,516,966,385,264,975,940,151,971,
343,445,265,147,267,214,260,670,237,506,569,705,059,156,446,258,670,913,336,
085,918,758,569,432,125,815,171,183,804,120,517,388,262,741,107,451,904,661,
246,831,568,962,924,924,108,111,048,602,755,979,938,724,794,345,015,384,320,
444,647,133,452,753,708,344,451,819,223,135,631,623,190,393,538,072,560,855,
966,511,082,100,302,233,133,823,094,396,838,207,586,228,245,591,375,242,511,
068,935,303,619,788,494,621,521,468,524,020,715,892,496,707,948,595,290,365,
086,863,480,165,386,372,512,787,760,106,577,789,429,625,217,096,636,089,817,
658,458,138,962,732,826,913,778,962,388,465,726,636,921,687,457,695,012,159,
337,275,354,064,586,891,069,298,160,548,292,680,081,470,073,792,763,768,257,
292,222,619,659,847,265,949,077,154,800,469,662,207,454,948,316,687,829,889,
882,071,912,984,048,138,613,479,858,116,869,837,044,262,768,397,665,945,398,
071,557,019,588,741,355,906,647,565,457,722,636,860,153,753,127,918,659,776,
130,281,171,083,074,591,541,779,441,156,817,648,473,876,600,942,459,781,702,
919,444,064,314,097,348,053,648,483,491,640,173,186,460,113,845,852,302,091,
624,869,723,075,742,690,725,026,777,825,100,594,215,496,926,667,380,638,476,
375,544,376,986,026,758,860,553,643,650,329,167,861,530,812,501,758,110,780,
056,148,806,832,587,952,269,315,041,022,820,864,016,673,518,257,167,082,532,
711,257,205,212,252,893,963,825,200,480,190,259,588,697,797,569,316,159,121,
849,522,666,587,771,911,261,608,778,260,737,929,472,331,206,537,814,483,582,
635,313,192,827,169,934,188,372,458,000,047,892,791,662,667,487,268,617,097,
456,673,595,024,031,537,761,138,529,000,390,598,656,420,755,475,692,414,643,
482,099,484,766,915,755,403,499,326,781,743,177,166,712,843,401,250,243,900,
302,847,016,270,163,357,941,136,657,947,185,583,968,925,254,229,643,054,955,
270,910,985,833,440,848,180,793,175,963,115,484,219,607,361,879,561,592,414,
561,605,985,703,019,856,454,901,724,355,133,315,345,896,253,753,318,862,832,
433,411,973,635,073,392,902,599,673,690,808,106,565,516,428,956,745,406,847,
416,648,703,337,824,602,322,571,972,472,781,664,024,743,518,539,094,239,188,
959,536,234,757,558,263,551,339,969,388,695,498,137,166,913,302,134,786,625,
206,926,748,844,299,840,779,208,314,013,834,198,180,306,667,298,713,532,599,
545,509,035,585,634,988,685,124,004,680,205,103,642,378,682,472,200,869,581,
228,312,254,070,114,901,876,446,846,404,834,403,367,552,511,524,158,417,246,
563,743,658,285,456,079,189,383,299,734,620,012,455,093,085,357,631,394,201,
056,563,238,217,981,621,947,761,520,762,848,928,699,310,426,415,531,707,428,
909,204,597,505,009,311,974,111,792,865,409,492,548,158,732,499,906,831,438,
653,145,187,712,008,205,639,098,129,613,104,050,028,344,388,655,347,372,469,
847,609,003,155,913,202,495,879,943,775,641,202,345,620,580,329,180,138,334,
077,109,674,601,900,774,420,705,895,491,480,807,227,640,232,188,988,615,030,
434,105,549,457,446,728,105,767,359,483,362,427,133,677,781,364,535,130,812,
988,441,196,959,290,712,289,061,987,295,663,736,531,790,956,976,534,437,757,
663,911,883,621,495,834,055,098,447,803,977,788,027,744,853,456,886,569,856,
334,011,171,075,617,953,014,367,853,142,927,137,441,792,229,182,183,252,765,
241,823,938,852,038,898,372,556,952,061,965,727,044,250,123,061,789,081,204,
350,498,550,942,608,497,404,302,029,933,816,989,323,423,043,392,013,425,863,
883,486,518,208,658,101,582,031,357,707,567,393,482,585,532,133,622,552,274,
552,962,212,637,899,334,099,959,789,172,620,186,668,794,971,045,460,126,327,
740,765,215,332,747,818,101,479,024,533,696,618,906,361,339,481,861,495,785,
790,412,820,988,015,390,524,587,371,272,556,645,889,743,812,920,081,339,287,
525,528,290,342,964,029,100,804,743,514,910,864,950,875,727,572,382,902,511,
622,258,236,440,701,677,254,718,839,409,262,128,397,583,851,831,263,679,778,
753,577,440,592,558,271,786,046,618,809,476,621,684,047,746,384,894,367,381,
270,119,119,626,120,304,807,787,767,989,036,334,028,611,505,604,718,063,911,
462,646,327,288,011,167,177,248,421,349,834,617,231,398,938,804,807,973,449,
917,360,220,667,039,680,666,005,163,321,542,373,342,229,479,115,521,773,396,
823,991,977,803,297,273,668,310,044,124,965,820,554,003,628,662,891,812,607,
672,596,595,773,709,943,981,919,427,137,194,694,650,468,103,203,227,521,230,
814,823,089,435,287,661,700,495,658,615,113,916,447,276,499,610,527,359,169,
268,899,160,073,887,613,900,985,030,999,696,418,525,505,015,480,976,367,636,
235,927,600,245,292,163,690,798,014,265,370,208,694,846,946,256,330,699,439,
618,562,995,971,550,872,893,105,936,061,226,980,327,357,114,209,444,741,760,
901,169,767,239,023,307,739,073,539,327,738,184,975,595,782,750,330,087,044,
093,303,985,695,077,932,245,166,631,369,046,869,935,817,836,495,211,982,995,
178,819,257,489,731,949,591,028,125,656,009,195,141,236,301,387,210,099,188,
453,072,871,587,754,285,551,227,064,528,944,992,736,598,205,816,003,165,694,
915,738,689,294,794,338,437,982,969,811,713,727,402,619,503,428,029,340,714,
948,332,385,097,293,642,119,837,388,237,085,250,200,387,623,778,666,484,142,
678,633,225,381,713,229,973,932,240,197,947,280,528,393,106,317,989,792,372,
414,312,480,507,359,982,497,080,398,770,905,809,910,696,292,127,099,984,655,
996,372,192,454,263,694,943,929,008,445,005,229,268,677,026,166,817,991,655,
537,170,817,653,380,241,324,756,624,720,814,440,678,950,569,606,931,007,585,
298,504,388,296,309,818,907,221,336,251,747,617,068,117,211,201,333,596,390,
596,013,520,394,025,934,986,856,051,641,920,603,730,899,951,795,621,070,850,
623,489,772,371,176,517,125,619,167,850,635,075,024,014,656,071,923,022,892,
276,110,283,493,085,861,431,292,319,348,989,494,645,103,630,504,247,288,363,
444,325,017,805,009,161,983,607,108,972,643,242,201,643,786,188,726,800,893,
402,744,472,502,890,820,978,711,813,887,627,564,555,180,224,444,609,160,625,
210,660,226,983,080,225,821,238,831,437,858,818,937,408,155,033,153,076,575,
802,725,355,745,458,421,590,816,865,038,260,343,386,834,287,539,565,104,235,
984,159,153,645,405,148,509,824,037,923,151,816,345,336,170,295,654,231,748,
857,598,060,709,542,854,610,291,994,319,571,125,516,380,860,821,504,547,203,
251,925,070,002,425,109,486,694,615,222,653,168,957,315,321,795,379,185,690,
152,689,923,635,501,296,107,169,881,591,428,053,880,857,182,799,216,067,679,
868,190,801,485,330,766,955,617,711,958,446,073,951,885,441,729,696,659,717,
309,115,984,078,994,344,349,607,745,421,612,982,030,204,747,377,634,936,219,
057,785,247,298,867,295,728,536,114,604,049,131,085,711,913,528,350,339,427,
489,376,304,142,474,415,610,183,969,445,292,790,131,968,582,723,152,946,114,
452,372,832,033,661,513,535,445,495,010,268,007,420,365,081,624,362,704,371,
386,551,334,978,628,905,045,384,793,168,564,204,191,656,224,359,754,481,497,
105,286,738,778,241,033,233,884,153,970,727,191,226,235,150,403,724,510,497,
407,396,624,247,148,703,156,638,099,849,745,892,363,370,772,982,650,191,067,
336,815,075,037,491,625,043,617,877,158,943,393,525,528,660,398,746,358,318,
097,263,822,860,255,324,700,475,603,506,596,471,200,018,563,274,030,161,000,
587,978,489,358,740,059,746,123,318,064,128,387,262,009,451,539,420,271,723,
280,356,127,192,146,831,229,445,277,298,566,689,181,531,777,776,110,299,677,
324,266,007,753,198,409,009,269,231,860,679,568,403,423,766,470,021,178,886,
674,245,100,055,031,617,480,032,614,011,777,267,380,009,798,842,453,185,054,
495,045,865,375,726,152,395,361,130,412,160,829,950,759,832,218,267,097,286,
392,685,848,152,971,983,150,624,482,938,790,538,144,960,786,751,307,344,005,
313,539,898,752,376,968,994,078,867,888,898,264,878,531,833,643,722,904,820,
444,850,724,591,329,097,127,839,951,021,658,855,725,073,844,380,780,363,694,
161,735,945,583,988,545,702,839,753,206,110,766,748,458,336,399,696,301,758,
308,853,321,293,380,870,101,707,765,148,522,087,808,808,314,801,419,494,580,
425,339,658,659,461,327,477,543,131,834,054,348,512,734,019,441,480,932,733,
253,017,264,319,611,739,715,485,563,798,437,589,912,785,247,682,855,776,952,
757,621,434,599,598,826,933,190,425,146,883,388,557,239,650,001,097,848,782,
576,042,430,409,176,186,113,903,159,186,056,370,255,736,697,600,133,873,131,
434,700,729,737,398,958,661,617,985,038,165,067,146,836,990,261,048,446,772,
925,772,428,909,557,395,866,611,275,637,595,418,378,995,660,911,800,247,011,
261,139,872,906,708,951,096,090,393,997,854,123,729,673,415,721,513,253,408,
795,377,542,334,851,617,377,537,161,882,124,713,623,990,203,372,505,462,396,
471,654,435,932,442,075,751,288,194,205,866,846,323,943,671,162,373,576,552,
027,823,591,011,891,158,017,555,894,603,511,595,181,157,338,367,303,672,383,
550,471,197,651,549,164,449,771,391,860,302,349,348,792,926,901,054,210,035,
841,079,567,286,127,118,267,993,277,818,352,096,645,526,260,920,879,810,845,
144,245,135,679,794,402,434,234,836,434,961,638,976,906,991,572,065,692,118,
098,811,864,848,738,583,716,242,519,447,447,650,344,575,162,325,350,338,484,
444,660,718,308,396,961,223,323,303,051,469,272,683,232,617,757,707,027,984,
814,586,633,144,963,582,565,643,161,283,346,022,390,787,240,449,572,029,928,
025,603,810,655,340,594,755,437,020,309,560,250,332,296,620,284,543,232,586,
079,257,889,985,881,487,127,532,029,358,003,196,337,033,451,312,606,656,444,
711,184,341,116,154,619,029,051,949,509,020,089,546,946,634,783,187,520,368,
180,433,172,894,946,347,395,189,912,756,212,242,467,585,321,624,121,600,929,
460,716,711,104,364,995,470,447,744,647,849,287,761,009,161,882,593,777,613,
791,885,416,226,283,874,860,399,885,068,548,767,569,065,710,967,896,847,333,
546,486,424,991,236,795,284,401,971,848,927,653,818,736,876,460,896,263,249,
115,110,398,098,052,231,467,337,948,772,858,652,034,207,489,312,675,766,745,
356,434,691,517,251,713,407,744,714,134,290,926,883,968,277,654,526,111,748,
450,193,320,806,797,442,470,405,226,391,572,755,027,424,430,038,571,513,524,
639,534,226,567,448,377,820,198,533,136,228,639,115,096,745,978,079,417,058,
490,324,762,306,433,070,802,652,188,005,839,753,845,690,078,716,024,008,406,
183,183,122,582,527,014,274,779,631,532,930,792,635,403,455,101,018,751,754,
372,057,703,652,568,167,144,258,992,203,511,524,778,100,304,520,720,965,493,
678,041,882,885,762,935,873,002,058,795,333,354,988,826,114,774,647,874,197,
730,790,247,777,204,476,094,169,451,196,600,695,481,863,396,914,901,562,882,
527,878,704,580,183,704,349,591,559,987,772,530,416,875,042,204,159,109,877,
033,802,547,935,939,026,001,571,052,926,096,881,109,021,059,360,650,285,176,
454,625,544,072,032,830,489,361,299,199,500,457,044,121,780,933,073,149,347,
646,313,906,109,834,246,891,301,946,999,586,655,600,528,443,457,184,953,821,
044,140,882,452,457,031,370,432,121,868,474,634,027,708,941,717,408,313,786,
534,481,720,130,423,568,645,920,507,731,191,863,361,880,129,563,700,827,427,
656,537,316,967,319,353,226,777,163,372,179,341,244,432,237,123,626,524,919,
878,347,719,922,879,454,029,589,403,193,574,988,481,857,186,190,472,923,264,
272,654,545,965,334,416,804,577,021,509,009,047,680,848,252,994,880,979,221,
442,721,916,088,219,131,255,537,266,215,079,246,963,930,596,802,056,123,632,
454,755,072,047,664,218,461,141,830,956,892,039,913,975,927,646,581,031,233,
769,395,376,535,234,326,825,619,783,944,581,472,051,837,242,258,645,023,997,
129,628,883,165,593,353,563,026,154,643,677,428,693,815,791,783,553,850,409,
152,756,549,733,435,598,366,535,394,291,295,312,685,599,040,362,531,224,972,
480,783,831,027,444,345,186,758,693,764,401,179,767,571,188,084,011,601,493,
453,105,274,611,513,215,734,426,298,454,013,959,384,068,773,114,294,475,229,
521,411,394,699,374,172,561,522,612,574,095,816,547,718,067,768,221,920,283,
399,298,042,793,584,217,926,742,630,214,802,247,347,897,371,347,618,499,627,
783,988,157,663,306,447,640,485,890,498,946,196,833,205,594,471,923,976,756,
810,967,535,642,918,074,672,071,289,273,875,067,578,205,243,866,825,747,319,
909,244,231,416,296,900,360,463,613,994,983,445,967,861,411,722,216,797,676,
405,966,901,804,781,132,700,461,131,101,301,126,783,834,532,060,462,972,384,
248,286,750,487,627,134,253,522,112,983,179,491,348,034,132,083,569,240,847,
272,311,146,581,564,928,715,577,149,529,438,547,953,538,339,747,983,008,834,
933,214,981,494,193,168,039,616,277,264,351,234,413,971,909,159,639,785,846,
955,454,153,750,144,206,325,112,616,015,846,121,250,340,560,671,796,073,628,
208,978,808,660,092,826,855,056,057,398,414,264,838,685,626,232,290,779,390,
776,883,870,641,991,481,982,414,357,775,688,115,410,132,101,083,882,206,110,
655,423,796,526,827,534,822,163,719,812,558,977,051,308,786,142,954,262,561,
685,384,182,928,372,808,622,896,690,221,615,996,226,539,348,309,634,571,125,
803,408,962,077,006,564,654,117,568,636,639,798,268,958,231,760,073,074,961,
711,181,296,033,196,932,841,308,837,963,669,707,632,921,842,720,182,112,000,
617,519,671,006,628,596,881,568,993,845,354,210,951,073,189,025,137,212,008,
006,792,460,078,232,221,934,609,550,914,945,108,296,991,791,493,125,815,585,
574,261,117,947,288,450,317,963,009,695,271,816,519,130,183,610,421,623,185,
979,954,445,749,468,293,914,260,142,208,361,727,940,065,082,151,669,385,260,
787,871,588,704,743,920,842,821,842,894,227,396,799,093,270,354,727,842,505,
132,085,166,297,998,058,876,507,739,626,984,434,885,503,218,092,991,118,041,
594,036,162,069,481,659,730,724,373,303,652,290,774,164,316,186,494,755,090,
000,036,309,751,241,185,337,914,763,447,957,221,441,044,998,798,490,943,122,
675,579,808,595,324,622,441,884,682,452,946,332,790,452,923,182,002,939,880,
905,878,389,186,674,742,675,290,969,137,352,349,436,658,033,918,045,546,179,
246,452,518,359,248,393,283,895,567,089,660,461,090,533,121,324,210,614,107,
313,424,362,759,184,756,794,978,398,300,569,133,842,854,870,432,592,866,342,
965,334,308,244,966,105,103,772,502,983,301,511,332,137,003,573,889,722,694,
890,011,576,641,310,345,291,929,266,607,431,744,489,824,518,845,116,457,578,
543,567,276,290,872,692,177,799,463,583,555,592,158,540,370,392,042,372,941,
662,439,328,693,353,486,207,482,792,568,794,918,745,344,160,143,302,488,989,
716,036,509,167,175,385,824,683,915,809,625,478,408,261,607,346,069,676,474,
956,753,142,186,246,064,681,840,303,984,760,990,427,498,446,037,140,929,053,
513,348,887,991,803,506,972,353,749,682,810,515,316,571,735,896,392,916,352,
739,451,876,975,997,734,182,253,505,519,808,083,445,389,647,271,277,411,947,
101,583,622,635,659,291,027,813,051,778,145,496,660,054,906,539,963,174,319,
706,323,356,846,606,360,150,617,745,597,373,386,404,978,676,034,326,278,675,
341,932,614,893,525,356,186,475,299,708,071,355,702,905,012,995,464,915,377,
235,050,330,951,601,970,262,484,926,404,602,043,788,154,102,972,207,107,701,
434,480,759,823,389,230,680,378,758,650,653,610,097,008,932,708,684,598,156,
131,324,050,584,158,906,750,392,766,184,081,196,549,589,905,200,736,563,281,
219,037,403,336,298,718,542,361,906,479,776,576,841,883,021,785,005,326,134,
975,046,590,239,281,383,402,241,282,075,770,238,171,338,708,449,457,210,889,
882,292,171,678,960,753,415,644,510,817,635,693,477,529,847,397,690,616,660,
048,890,361,441,424,970,763,451,542,263,714,512,736,802,850,728,764,062,648,
384,716,218,237,661,302,501,148,069,400,355,972,958,332,834,638,551,626,344,
169,937,062,194,498,185,393,355,551,565,932,511,845,024,408,905,796,468,412,
099,295,346,382,621,102,339,863,415,276,953,401,568,792,222,776,026,167,248,
148,620,837,373,206,852,897,231,308,627,436,181,874,170,887,629,933,452,363,
145,706,937,022,192,579,620,159,103,523,937,518,264,383,614,424,508,541,281,
248,289,200,205,988,195,737,223,422,489,374,684,428,505,555,320,313,790,351,
898,956,303,188,070,232,260,743,507,603,807,216,882,548,834,362,609,843,295,
867,430,775,161,472,232,491,579,238,202,111,119,168,722,005,515,858,255,430,
074,679,175,637,916,089,195,503,055,495,565,290,550,180,185,255,968,806,365,
483,786,947,936,105,852,909,833,498,736,130,448,803,210,802,318,557,226,985,
107,745,513,839,513,032,953,225,544,808,913,544,921,132,659,622,320,381,650,
440,744,070,746,367,963,124,885,903,680,611,547,811,256,872,489,544,374,443,
434,629,328,087,966,992,739,944,962,697,638,871,784,896,273,967,346,311,803,
568,620,953,343,688,670,200,574,232,420,905,125,554,610,269,766,597,181,125,
175,953,058,922,260,145,348,111,338,498,800,049,340,494,550,353,159,394,709,
531,248,522,717,610,846,034,347,484,649,216,991,378,308,990,963,955,527,929,
963,351,422,000,183,345,373,761,287,572,482,828,039,427,353,807,977,570,516,
775,185,160,990,517,864,137,202,954,284,232,650,013,060,066,354,941,098,684,
670,914,885,541,597,622,530,827,264,468,901,846,702,334,937,286,871,788,580,
798,862,829,932,513,043,869,087,187,764,973,325,853,916,006,758,623,783,558,
433,679,848,021,824,427,296,517,043,471,706,902,358,244,675,989,550,832,590,
050,275,767,529,797,135,956,764,092,269,977,954,986,159,810,735,226,569,246,
175,124,211,190,518,505,365,343,643,363,536,768,406,651,473,176,249,195,044,
299,942,971,183,570,915,590,992,324,404,001,633,204,313,618,497,650,664,179,
194,135,867,048,514,146,145,072,926,242,040,072,042,818,327,849,463,300,185,
847,104,011,858,626,073,871,941,683,617,476,735,208,993,308,857,876,412,440,
092,718,173,109,263,808,290,556,872,907,773,862,122,607,636,166,100,086,588,
067,561,037,254,859,429,496,257,079,678,256,101,443,358,240,448,835,136,559,
813,326,972,321,828,401,070,816,679,736,039,691,133,343,465,975,643,215,575,
485,082,670,116,375,288,451,560,520,286,693,778,919,820,502,549,333,245,724,
278,105,683,421,892,947,064,001,605,929,537,589,150,219,989,276,971,527,959,
549,762,790,402,769,765,313,240,718,342,592,536,061,462,277,959,991,054,810,
504,968,972,381,012,663,561,653,087,958,509,972,334,605,268,955,765,855,034,
737,663,558,509,419,061,896,278,407,986,043,746,974,589,089,233,397,188,278,
250,877,803,497,405,861,998,956,134,227,332,985,652,265,301,116,523,673,190,
006,043,839,648,963,234,721,684,487,162,258,498,272,139,378,522,207,628,502,
066,568,030,921,514,649,723,651,215,887,842,120,333,272,809,233,748,078,834,
613,024,914,386,185,299,021,720,902,015,768,638,481,983,686,466,739,230,085,
719,231,408,131,346,601,876,260,516,325,334,896,375,167,099,902,079,110,969,
178,075,833,662,112,179,168,802,666,646,022,182,609,048,235,031,297,422,149,
909,980,570,271,049,968,733,959,035,786,196,513,110,098,827,509,220,139,785,
326,809,299,995,498,520,781,218,723,363,721,804,993,127,511,723,351,692,283,
474,808,352,338,352,488,556,105,247,011,695,885,969,241,947,747,729,054,396,
514,787,330,879,410,826,965,825,042,082,859,290,477,903,435,281,076,545,084,
985,759,435,386,617,850,750,128,697,225,427,751,491,792,543,620,035,057,668,
748,360,220,171,597,170,371,655,300,641,068,750,607,799,906,459,422,077,161,
073,979,106,843,848,834,590,652,327,106,496,626,933,249,224,757,292,654,224,
966,848,747,386,672,323,234,927,828,648,561,972,836,460,241,333,221,396,105,
933,335,625,439,179,185,933,911,732,267,694,315,391,361,508,029,189,521,058,
485,544,745,218,924,047,285,285,628,439,125,235,878,447,325,639,728,294,306,
153,830,072,266,598,770,998,113,218,536,310,890,048,431,009,251,441,539,229,
283,185,504,663,728,613,864,631,327,139,234,639,417,035,313,739,053,928,120,
757,432,184,738,670,010,714,032,036,180,899,806,232,952,644,150,769,012,773,
204,002,745,201,534,328,195,664,268,604,431,189,061,582,108,764,793,393,386,
031,657,312,706,382,244,873,781,383,014,307,566,752,297,475,901,710,437,334,
221,511,000,978,129,934,283,909,754,885,244,868,517,358,837,009,268,936,535,
768,211,401,800,869,000,939,361,133,123,395,527,145,099,409,021,073,495,813,
017,127,185,570,586,787,344,515,003,798,703,874,493,689,246,819,386,205,856,
808,509,372,579,211,637,061,307,475,346,185,543,816,447,913,946,133,694,885,
725,293,953,595,353,410,506,156,402,661,394,562,573,982,324,849,645,902,009,
086,098,516,766,545,557,290,786,632,496,446,381,421,903,958,582,565,119,146,
262,191,623,262,028,750,630,604,926,570,915,645,641,340,473,950,571,685,541,
598,682,587,490,343,817,849,747,908,609,184,386,902,768,650,094,726,779,607,
381,136,467,898,688,257,004,037,405,909,289,233,917,871,657,618,297,843,852,
496,326,983,508,584,511,781,939,060,864,733,708,716,122,167,491,419,438,730,
276,643,307,395,265,817,542,643,512,232,249,339,066,433,748,887,055,352,606,
480,507,519,001,849,749,625,403,069,899,183,967,876,652,140,581,081,360,950,
143,114,117,306,061,347,036,779,289,899,830,127,514,828,233,669,975,298,333,
824,855,984,434,680,832,539,455,474,113,235,877,740,013,722,077,998,045,932,
272,068,645,700,987,381,941,637,483,581,949,812,667,852,228,943,649,201,004,
904,695,269,380,949,621,750,245,083,862,110,565,608,497,786,835,580,969,773,
178,561,732,355,541,412,767,990,142,719,706,936,895,279,087,359,471,714,190,
956,848,088,173,403,566,425,315,965,885,376,487,063,331,471,752,142,529,944,
368,203,566,581,266,697,666,763,287,545,402,067,642,971,770,696,884,691,411,
430,789,155,669,040,264,503,115,211,528,008,241,405,462,395,264,814,291,041,
213,368,350,377,366,961,718,060,857,527,713,194,338,132,335,361,441,106,621,
705,781,976,116,291,685,301,591,006,423,721,809,011,665,644,483,521,120,026,
915,872,268,735,036,427,765,477,207,021,064,178,844,438,831,233,168,009,960,
914,159,915,249,956,898,187,090,178,063,976,687,423,780,203,727,295,400,058,
112,843,887,779,977,332,057,082,855,453,379,504,184,913,441,430,035,946,988,
055,574,290,267,701,191,598,737,897,842,416,308,548,178,669,562,915,229,602,
068,010,551,606,603,057,570,087,932,709,719,211,042,355,121,841,418,637,276,
534,492,046,729,170,970,244,450,831,130,217,989,694,712,628,784,176,754,173,
081,401,650,177,686,700,058,823,441,992,379,803,878,287,640,632,164,691,343,
037,343,138,979,570,500,987,279,472,321,541,006,161,786,890,208,783,793,244,
020,773,974,992,503,989,367,093,073,029,412,717,683,055,253,480,338,051,109,
586,108,192,181,276,520,255,831,252,200,270,465,556,692,496,381,762,499,420,
587,292,667,050,473,385,576,690,461,086,496,132,916,641,074,030,801,352,256,
414,272,892,757,006,058,012,147,940,014,349,050,716,348,750,805,283,365,121,
712,547,401,483,732,328,095,591,755,677,461,430,797,517,895,415,098,566,552,
802,595,849,668,292,525,475,237,595,086,476,617,973,902,427,218,434,980,055,
036,071,129,199,873,409,972,580,167,318,792,663,424,664,378,972,361,523,146,
258,654,133,564,257,358,012,627,528,051,586,560,016,142,444,656,123,883,322,
565,728,838,832,795,092,609,573,631,338,642,798,259,820,979,576,853,664,627,
441,045,592,000,860,211,974,917,136,403,976,774,845,321,868,748,352,435,345,
140,781,872,315,399,436,083,318,125,219,726,884,367,819,963,893,778,074,780,
729,445,555,141,253,959,367,893,033,346,959,964,559,382,524,037,652,225,192,
931,224,995,999,176,536,713,757,031,101,952,597,931,202,269,061,359,805,631,
342,192,105,585,826,585,341,495,637,588,708,670,078,267,759,794,462,763,791,
040,836,563,352,630,905,778,260,584,330,086,011,311,332,960,597,602,858,294,
880,512,758,085,024,761,259,601,790,793,407,538,973,880,729,177,869,608,565,
295,980,853,710,336,354,959,251,773,742,340,148,469,179,477,240,861,745,729,
438,899,601,904,558,836,930,965,589,335,614,761,434,505,410,683,311,753,605,
325,181,378,328,529,380,117,328,616,913,173,558,485,840,643,382,969,391,285,
915,464,830,638,499,697,984,285,118,036,003,044,626,847,296,394,703,463,313,
764,463,731,651,988,856,158,061,759,832,798,644,085,348,942,281,249,826,410,
264,640,050,648,243,862,548,185,311,856,368,437,191,169,280,998,174,201,157,
618,855,875,698,265,746,409,259,896,252,071,678,472,946,684,280,031,806,193,
059,544,869,395,907,963,071,665,883,105,781,206,824,643,857,437,335,960,634,
982,905,574,283,233,430,850,887,512,542,928,950,671,417,747,509,293,605,711,
858,719,289,258,644,172,662,899,841,380,316,599,229,273,542,044,281,763,324,
266,539,143,453,226,807,179,291,632,903,692,835,433,433,963,702,579,837,274,
612,889,910,988,064,975,035,397,062,613,518,471,253,028,330,884,095,362,199,
346,200,140,313,205,243,309,094,677,180,312,420,832,379,522,492,381,770,954,
489,419,261,232,903,315,439,861,436,152,644,115,210,813,505,090,642,361,197,
114,449,721,946,613,016,841,948,671,965,152,010,280,747,104,714,450,274,642,
737,527,038,090,062,607,408,071,419,049,825,019,755,141,842,821,051,861,944,
649,265,555,255,712,730,962,523,827,950,650,530,784,548,646,562,721,864,582,
052,490,997,399,801,467,191,884,689,247,883,655,032,901,363,233,790,849,138,
791,637,766,982,098,642,346,607,038,578,855,533,086,390,033,471,376,898,503,
579,039,656,679,014,198,407,643,128,883,863,346,724,845,159,076,587,877,879,
273,152,194,787,783,452,047,958,609,432,373,574,962,297,558,836,590,483,646,
638,132,109,494,328,230,038,498,242,439,381,894,797,670,518,234,332,157,780,
483,912,746,106,578,359,844,175,255,960,541,757,229,896,865,595,017,001,693,
262,595,456,739,944,386,907,775,175,938,302,967,974,569,558,866,149,323,188,
879,135,781,180,387,709,937,754,955,145,596,692,966,943,972,379,783,396,461,
078,719,935,862,465,948,186,275,661,362,675,899,542,715,685,907,652,293,854,
540,458,727,577,882,804,287,103,838,980,122,930,898,513,296,292,429,521,925,
905,532,559,002,239,977,558,309,561,723,676,370,243,150,659,278,707,516,333,
168,006,600,043,656,343,314,535,846,804,740,032,719,198,103,084,302,585,603,
312,609,545,930,462,753,077,778,514,876,750,715,790,061,161,543,989,449,995,
991,034,716,472,040,757,534,907,511,125,768,321,622,556,912,123,379,655,691,
974,368,876,711,185,059,859,522,321,306,094,876,181,625,357,895,817,466,224,
864,156,662,908,828,754,883,247,776,345,382,771,030,831,454,978,194,139,586,
062,842,837,149,420,648,409,540,678,559,645,573,234,408,308,276,628,522,553,
848,174,928,751,304,613,069,361,398,364,348,281,995,898,149,739,353,576,300,
703,753,003,487,689,323,292,364,037,999,333,611,242,645,276,876,745,992,735,
202,364,177,387,010,099,640,023,715,500,957,648,308,552,856,714,232,355,499,
385,990,553,292,562,547,556,375,318,852,370,328,183,709,936,674,348,333,698,
646,551,814,182,501,146,598,541,434,457,740,301,271,224,052,213,690,237,024,
608,732,633,442,548,722,696,021,855,061,149,200,319,966,879,450,159,430,479,
146,365,324,475,804,875,089,544,272,074,284,952,309,045,364,683,087,058,892,
940,196,900,501,941,802,271,232,483,054,296,115,457,787,089,445,967,227,012,
017,729,913,023,954,944,893,617,744,193,809,278,945,714,211,600,149,165,675,
943,034,812,928,122,428,598,802,026,330,018,834,546,515,390,271,180,130,273,
052,761,878,063,150,337,719,145,252,318,302,882,231,059,909,173,243,652,186,
515,464,553,841,239,262,476,063,569,254,440,807,113,734,969,767,330,407,485,
965,751,906,219,938,476,757,413,154,053,009,532,107,996,377,370,906,787,983,
860,484,760,065,132,354,437,950,346,707,354,835,867,349,626,171,259,403,026,
575,888,546,235,303,980,729,063,451,091,766,137,082,064,811,939,246,727,276,
371,040,002,001,268,246,570,933,703,201,946,279,134,365,681,475,114,442,217,
650,623,759,507,476,239,273,306,101,353,473,794,158,048,507,219,603,899,896,
186,768,991,072,658,371,206,353,102,490,239,265,487,863,248,516,606,133,046,
595,801,125,890,350,593,615,585,843,373,993,139,711,106,392,053,406,518,259,
111,604,231,438,386,974,453,173,804,802,092,498,764,421,535,761,751,901,591,
708,089,970,955,224,208,870,350,569,812,261,110,162,174,314,491,157,849,520,
112,925,731,115,374,000,703,380,208,221,777,179,769,201,729,956,532,225,354,
984,282,899,611,728,701,260,707,902,762,733,400,470,967,209,389,512,365,953,
646,530,814,237,902,129,347,052,136,353,335,735,254,021,170,390,416,020,893,
908,195,970,382,058,971,733,807,099,155,882,856,515,049,282,205,528,309,494,
898,455,992,576,049,929,925,753,894,910,855,172,060,233,032,886,174,827,822,
394,283,726,539,995,092,395,564,386,043,838,536,975,632,123,516,029,332,478,
442,242,163,025,178,369,095,757,489,667,248,153,409,922,477,899,145,911,669,
055,859,547,081,425,554,181,698,499,317,029,736,852,835,436,441,064,493,515,
916,508,016,148,882,626,460,571,294,781,598,950,818,909,469,021,947,825,940,
767,153,418,108,247,794,340,437,677,646,054,662,412,510,285,029,742,345,282,
352,343,562,680,862,269,921,696,374,411,768,358,239,036,840,917,923,522,072,
457,486,564,419,663,619,002,497,571,874,978,331,452,059,262,348,537,858,311,
850,392,707,241,755,662,499,348,684,491,640,566,693,131,795,029,990,860,017,
577,385,558,498,615,693,588,548,227,456,725,377,409,836,178,014,858,983,060,
850,306,038,504,727,695,551,676,229,528,050,055,476,645,752,895,033,275,081,
430,388,673,459,059,962,953,039,922,641,380,685,154,482,233,924,120,859,849,
437,247,996,074,674,643,564,698,270,314,748,870,397,878,831,900,115,113,205,
654,661,528,178,891,220,226,858,075,391,265,327,983,603,823,505,634,944,613,
362,657,349,449,339,631,991,041,197,876,638,825,750,994,203,635,650,756,697,
896,817,482,721,543,202,715,599,174,258,134,215,371,817,117,239,675,445,895,
050,153,897,756,385,671,061,351,073,940,722,730,166,655,209,377,062,436,426,
909,163,459,870,113,110,090,467,538,315,090,391,790,448,115,999,050,207,575,
244,580,278,756,528,542,196,591,972,036,162,020,500,407,569,739,764,291,192,
106,061,049,518,692,000,329,318,619,037,017,867,450,522,836,142,937,120,675,
797,507,534,059,201,679,425,393,104,156,579,355,180,209,990,823,211,534,083,
701,911,589,797,972,867,849,188,923,252,722,887,462,222,015,417,248,305,141,
291,697,453,107,865,634,033,549,533,010,964,861,480,638,343,285,717,213,511,
877,791,471,978,150,768,331,341,296,112,274,484,589,993,788,461,003,003,695,
518,857,962,905,502,230,417,686,922,672,266,143,064,341,941,683,293,996,519,
383,681,167,102,210,153,258,210,010,597,615,970,021,297,982,625,810,591,510,
377,980,793,535,094,941,699,052,219,519,827,885,257,196,504,028,696,401,195,
178,325,566,477,530,795,857,001,243,117,327,321,840,578,023,171,423,240,492,
277,900,488,240,698,962,572,656,485,519,029,313,917,134,961,923,798,238,106,
411,046,242,766,134,048,749,481,317,873,543,014,468,439,953,293,650,512,132,
252,322,500,401,107,984,514,294,503,869,124,404,503,817,044,832,325,642,074,
402,538,829,497,906,855,836,289,306,784,787,017,058,936,770,562,199,005,301,
991,821,165,563,049,094,792,591,963,438,906,859,648,980,889,490,533,990,052,
287,584,249,559,390,537,252,327,229,700,381,042,452,876,982,992,965,129,208,
049,044,964,192,581,698,527,124,037,239,399,600,643,977,106,471,893,390,973,
067,603,701,759,440,068,438,476,368,656,882,831,942,509,621,418,539,168,328,
807,143,671,960,896,226,936,562,664,627,789,036,836,977,539,371,708,503,211,
439,230,068,349,028,769,326,309,042,947,313,726,448,095,180,942,316,551,725,
274,743,162,809,863,097,512,511,653,833,323,921,324,602,362,921,567,257,562,
940,517,641,307,199,977,611,115,256,785,873,311,191,553,867,944,002,708,886,
943,964,905,665,008,298,398,484,657,033,736,502,876,767,279,291,214,090,033,
083,096,081,112,701,867,982,991,403,271,276,695,907,062,382,199,444,640,460,
630,427,458,293,696,733,616,188,523,643,183,030,578,651,518,977,914,093,749,
374,823,822,731,080,774,089,151,881,639,914,647,041,136,515,891,712,727,979,
203,310,279,912,982,790,219,635,672,640,733,171,693,127,118,569,482,338,654,
124,269,347,993,246,736,756,780,064,816,022,682,897,121,573,314,064,904,467,
894,300,572,871,113,830,859,307,185,968,363,686,820,548,488,816,069,307,926,
240,687,154,190,974,659,267,893,464,105,970,855,930,351,387,482,750,264,922,
154,449,915,539,990,524,991,531,971,805,564,766,257,873,347,608,495,252,681,
836,703,182,122,326,234,456,217,606,690,646,263,502,401,069,799,335,712,046,
827,736,086,758,207,628,722,034,276,588,296,875,726,168,754,474,713,967,957,
033,976,785,605,196,015,851,390,432,492,542,599,676,148,009,279,111,969,861,
451,879,383,057,537,246,174,779,111,446,021,493,934,861,115,830,120,610,409,
250,273,169,187,193,653,766,637,137,686,582,465,553,730,422,900,449,579,758,
276,729,417,635,537,715,303,307,427,971,457,784,666,944,903,887,691,958,419,
331,591,307,091,531,244,768,259,150,817,536,133,795,488,904,698,438,999,807,
918,124,829,297,327,274,849,010,321,994,063,298,238,163,268,896,741,851,159,
805,379,388,048,746,101,043,782,970,001,523,730,537,732,330,086,775,814,115,
724,935,930,661,270,521,267,159,221,969,747,648,874,521,057,284,524,139,121,
180,548,603,243,938,904,783,606,783,054,995,165,993,843,000,832,288,635,316,
917,204,937,816,448,740,119,513,819,575,895,368,323,547,793,337,425,680,955,
497,403,081,564,840,581,532,434,376,003,570,671,237,358,534,048,569,034,093,
512,832,610,777,741,086,948,968,365,109,902,931,428,219,906,128,745,270,889,
117,812,793,033,018,205,728,419,661,821,133,283,452,788,533,836,674,119,967,
047,153,931,132,246,836,413,892,497,082,502,164,958,799,790,309,819,502,151,
528,562,126,658,486,863,718,309,222,884,568,694,182,908,090,114,968,934,612,
056,260,836,866,284,498,253,565,059,151,286,718,803,910,118,789,187,539,504,
981,680,555,914,007,040,665,139,948,474,533,485,527,945,068,849,059,316,603,
022,608,270,217,285,963,980,058,525,166,762,784,632,808,446,517,565,822,715,
728,490,028,511,799,115,469,027,971,338,069,488,047,954,057,211,536,232,152,
302,436,938,025,309,354,803,550,779,113,969,825,561,932,724,109,323,550,543,
155,552,219,323,969,306,111,225,688,169,351,236,124,131,200,376,875,466,696,
626,154,006,072,954,966,661,415,008,863,796,401,070,900,745,678,081,856,805,
124,838,983,016,829,421,201,006,311,977,749,977,152,340,436,947,856,845,535,
544,006,169,750,944,808,965,646,056,633,853,896,595,262,884,763,436,611,967,
775,828,701,579,079,405,234,657,098,478,995,009,808,502,290,454,791,515,486,
284,327,012,292,721,169,943,080,569,837,734,736,344,910,361,275,130,925,309,
518,515,021,076,819,548,319,741,350,501,539,665,665,348,750,622,141,408,127,
794,676,711,400,927,594,570,954,797,864,366,910,936,746,314,314,054,601,032,
829,260,432,817,361,895,926,094,451,131,820,861,161,048,698,457,260,326,305,
576,957,692,117,776,314,898,898,482,982,688,868,087,262,815,014,228,503,124,
949,241,519,837,335,190,303,462,742,642,461,726,908,899,277,724,462,816,519,
682,432,927,379,293,127,669,721,734,736,562,418,629,645,001,476,943,975,184,
009,955,634,159,626,351,591,954,901,766,790,138,442,247,178,235,504,554,590,
558,313,843,938,784,162,186,060,867,636,246,885,636,545,291,278,017,301,147,
136,174,525,785,705,815,475,997,367,130,525,795,256,595,330,236,991,424,458,
001,335,273,175,148,242,496,740,451,973,729,888,986,954,812,124,921,045,777,
779,775,168,051,879,362,367,160,390,000,630,117,173,483,588,503,309,781,652,
229,147,798,499,415,199,531,339,676,825,408,930,847,191,369,032,189,547,316,
320,618,394,558,821,398,747,175,136,977,384,103,888,568,780,839,182,360,645,
378,281,680,384,829,230,856,159,588,324,756,480,180,597,576,498,427,723,850,
836,707,557,266,522,853,885,904,811,500,428,987,756,701,875,722,403,175,557,
209,452,198,787,590,611,133,609,172,560,843,661,004,369,005,842,331,568,416,
939,722,158,680,690,554,150,289,015,713,333,566,711,232,488,072,347,898,876,
976,444,158,970,362,325,335,105,522,839,938,775,717,247,455,884,585,313,486,
845,228,442,330,652,189,578,278,901,136,857,648,464,964,100,067,884,175,147,
266,088,456,568,660,490,502,003,234,535,723,956,701,737,161,073,061,874,645,
068,780,496,340,453,132,888,173,771,916,558,668,897,869,599,201,715,302,658,
718,994,537,138,928,496,176,965,419,452,043,845,896,416,776,879,595,971,708,
539,176,205,155,428,065,377,799,527,852,656,208,102,270,176,495,736,494,306,
471,234,908,234,574,089,162,013,476,089,972,395,258,369,079,625,656,714,054,
623,654,487,886,780,284,706,531,899,287,800,040,011,331,999,815,542,050,239,
363,112,508,457,112,384,446,411,895,029,094,180,886,730,667,351,040,593,057,
762,776,555,408,648,496,606,926,697,124,171,011,916,143,720,796,693,483,953,
848,407,274,469,741,484,102,662,721,772,456,839,793,706,136,631,097,396,325,
314,173,787,794,430,821,567,967,866,128,343,403,987,653,781,448,462,758,769,
941,717,478,718,281,123,327,769,214,777,471,498,858,160,515,855,474,145,383,
249,509,919,349,824,913,716,107,516,885,861,942,490,056,733,501,512,082,424,
042,420,576,563,337,833,231,494,887,683,583,447,546,861,227,338,348,130,101,
622,974,091,354,424,070,235,758,926,711,022,743,406,921,592,857,788,446,026,
563,593,205,333,258,468,285,552,872,897,828,202,239,292,542,986,332,540,718,
699,228,019,577,554,849,805,448,459,282,758,138,558,479,747,005,835,701,592,
700,118,704,778,098,554,803,258,801,433,332,774,246,605,381,966,072,254,329,
843,332,896,600,750,661,198,490,724,293,991,699,349,492,730,247,494,307,861,
468,439,231,648,947,463,310,198,128,633,756,253,485,144,233,442,650,027,585,
743,754,112,461,415,055,679,357,742,932,471,948,792,254,199,641,644,454,885,
396,181,707,413,277,584,551,883,465,250,987,541,978,618,758,336,746,485,998,
388,758,466,103,899,714,253,699,878,448,379,978,374,727,200,804,402,394,226,
130,956,207,474,813,405,335,732,834,275,528,982,910,032,736,953,830,457,101,
980,645,461,601,941,504,271,243,384,778,627,407,986,622,546,087,066,345,504,
265,576,445,368,189,149,611,388,987,061,049,804,843,354,324,810,499,660,419,
061,309,067,876,547,979,453,023,815,407,722,143,637,566,568,754,246,811,820,
049,369,346,174,928,041,969,333,076,378,253,341,452,097,119,063,002,278,117,
148,463,614,641,556,611,002,013,190,626,825,903,708,602,496,295,625,144,558,
482,176,751,226,715,553,596,460,154,486,283,550,106,430,450,044,840,131,651,
661,435,066,181,608,550,581,368,704,413,062,915,332,859,963,016,740,278,140,
003,961,251,152,159,889,664,355,069,892,789,071,673,556,318,659,497,048,781,
868,482,471,358,299,512,968,753,302,119,109,812,264,435,411,807,963,934,730,
619,288,816,056,486,962,083,722,505,778,980,371,258,115,690,221,166,748,611,
305,621,734,126,842,929,146,745,248,874,359,509,856,347,370,381,949,678,366,
889,278,585,125,146,955,901,308,956,124,628,662,356,147,558,053,906,095,679,
528,677,242,429,269,170,134,966,942,424,273,093,041,401,675,521,504,495,849,
341,219,436,962,676,232,726,133,845,408,627,922,915,207,004,927,993,460,722,
252,019,480,063,548,754,477,648,326,042,869,993,805,949,526,419,729,050,844,
199,504,785,454,947,213,651,735,074,233,187,700,620,943,855,007,238,729,746,
572,714,070,061,448,557,187,235,118,179,249,648,568,688,011,415,764,950,936,
409,950,257,953,096,254,174,572,461,970,954,444,919,081,081,277,238,077,270,
234,169,559,613,530,425,498,192,526,180,929,873,613,190,989,176,636,278,355,
314,958,893,254,512,497,816,007,543,037,205,900,972,814,546,999,837,313,080,
396,267,258,221,928,475,832,163,686,003,203,797,894,852,253,552,529,683,256,
600,028,404,363,591,805,235,931,171,770,461,658,242,476,394,424,687,303,871,
756,621,458,006,483,051,068,831,025,153,538,007,107,120,705,849,856,489,702,
917,982,988,521,907,938,774,250,521,378,604,552,745,677,875,932,181,678,714,
391,756,215,099,894,653,011,043,994,404,297,019,714,891,158,257,471,697,268,
278,629,033,517,439,791,935,281,390,845,725,431,529,864,708,038,041,563,051,
509,064,577,425,622,290,657,588,730,641,528,353,749,463,272,824,212,527,247,
813,733,623,320,393,962,038,283,042,613,745,231,177,167,506,639,739,166,888,
578,291,952,787,285,010,652,239,859,772,695,402,434,932,673,258,050,766,066,
556,364,263,716,964,504,278,636,492,190,281,557,742,624,658,711,220,709,545,
050,958,070,031,167,722,182,892,039,896,810,415,659,897,550,439,034,778,825,
682,211,030,367,809,442,112,966,773,211,346,547,342,240,203,499,247,655,034,
763,917,777,655,696,898,736,768,298,810,197,965,557,564,324,262,007,609,895,
175,073,603,671,085,227,920,056,710,619,635,745,431,395,139,920,294,585,780,
541,925,498,005,831,847,570,080,604,335,335,433,194,724,981,108,378,289,580,
688,888,787,263,952,901,194,097,387,451,195,385,644,120,247,276,017,616,154,
637,444,732,783,272,277,948,587,495,064,592,312,273,454,759,286,136,136,134,
993,074,015,708,871,415,188,906,228,415,474,194,898,085,452,084,090,218,025,
310,807,494,620,391,148,538,350,701,568,904,340,316,711,698,696,910,860,905,
202,969,944,528,510,103,429,354,966,261,768,515,960,325,858,915,600,932,211,
128,313,700,696,183,458,882,234,417,224,602,278,197,511,911,023,389,310,157,
871,707,170,458,619,948,133,116,629,486,719,372,130,232,860,907,261,756,275,
793,901,539,154,200,317,872,039,814,753,028,572,219,209,163,898,988,979,205,
617,699,449,286,060,251,427,470,232,061,153,950,487,918,292,867,333,949,403,
612,408,892,471,858,004,286,922,731,071,663,076,807,302,403,841,274,848,990,
655,069,169,419,910,425,560,206,359,371,938,460,047,027,106,452,952,183,367,
615,781,781,719,823,350,289,909,672,795,134,918,888,194,317,128,137,080,237,
005,304,709,554,804,961,521,102,891,741,067,029,427,951,079,934,061,706,775,
756,310,788,870,053,256,099,230,014,644,595,879,862,656,472,206,816,807,725,
633,728,641,659,838,288,868,751,120,713,615,439,606,886,550,033,228,141,027,
768,965,518,449,536,176,552,664,686,688,794,368,900,374,978,848,873,458,056,
357,496,806,270,720,250,723,609,219,316,846,382,107,935,629,821,908,386,158,
242,857,213,952,863,864,699,565,579,993,227,900,947,764,573,150,247,505,907,
795,650,092,063,883,358,983,048,803,641,162,104,640,275,001,607,934,347,761,
191,176,430,014,754,254,046,583,415,449,560,564,073,393,023,824,797,824,860,
173,734,524,265,711,522,953,271,902,611,019,319,491,557,005,580,083,127,415,
530,753,901,308,917,099,674,866,071,975,208,311,068,461,944,247,829,083,783,
342,492,230,814,908,621,342,466,603,667,517,951,009,469,392,018,669,032,291,
094,775,894,810,648,778,358,279,959,562,403,916,318,201,738,520,291,772,769,
151,125,690,604,987,849,276,863,067,318,527,429,896,170,846,582,681,597,418,
734,404,960,415,197,942,501,113,907,916,364,590,436,946,870,041,444,371,309,
317,730,768,152,760,596,330,055,178,886,013,946,535,475,760,739,896,460,702,
888,146,024,964,435,495,783,825,175,521,670,494,994,348,303,211,137,683,547,
496,799,541,443,115,618,773,812,351,382,397,944,647,956,314,523,749,696,663,
645,646,398,744,193,618,892,494,422,069,499,559,355,567,062,880,468,460,793,
037,310,994,458,253,117,257,598,822,608,104,748,253,981,373,431,639,318,984,
888,283,040,695,736,476,478,597,950,868,335,348,222,599,961,013,484,703,897,
697,830,730,588,531,443,051,864,024,899,210,771,604,548,319,998,410,006,557,
547,620,752,881,007,677,458,632,910,990,921,012,236,774,642,165,427,084,346,
783,985,793,788,837,579,841,022,753,155,012,574,463,021,460,337,360,999,350,
143,038,122,799,267,092,992,696,138,782,020,035,698,156,459,732,761,039,744,
968,345,829,283,412,943,296,413,624,041,306,576,292,331,906,180,163,123,981,
541,099,786,288,410,037,856,531,863,570,491,851,584,544,688,872,787,143,516,
310,262,466,188,772,524,685,531,427,355,137,416,073,785,259,532,617,887,183,
837,962,842,205,921,398,277,886,318,836,981,805,466,352,392,895,983,347,908,
959,287,286,770,653,069,875,794,555,079,088,335,598,336,856,210,597,081,416,
159,924,415,225,254,022,175,286,765,791,866,201,928,756,820,076,003,352,459,
435,485,815,359,528,904,827,719,793,387,671,363,814,293,630,333,954,345,590,
910,804,614,666,333,979,608,237,549,629,988,726,897,558,310,249,393,270,831,
350,327,626,702,904,475,949,209,271,769,241,874,562,698,993,270,607,096,244,
205,650,304,879,820,914,633,567,781,092,469,897,697,410,606,870,261,040,969,
766,265,926,265,448,400,805,631,796,640,153,848,892,049,664,989,388,835,659,
209,116,607,463,473,189,925,743,352,004,243,082,474,029,930,853,265,360,866,
739,320,962,087,024,904,734,451,784,763,624,031,352,397,180,379,672,346,340,
196,211,163,602,969,981,009,517,008,108,207,081,142,817,960,084,586,870,706,
299,354,183,584,395,136,075,427,571,805,768,830,948,022,315,002,231,775,095,
398,747,076,224,807,898,456,488,740,530,597,056,705,623,678,855,727,048,629,
088,230,350,857,378,106,353,520,120,063,678,883,350,400,935,156,486,122,111,
462,023,798,789,739,975,936,575,266,175,240,240,437,174,113,870,641,467,926,
339,465,463,263,704,278,906,078,085,672,380,016,397,684,367,352,590,096,696,
816,920,188,081,192,272,728,404,780,948,359,360,556,787,749,784,626,505,747,
652,042,568,229,218,808,070,524,826,317,903,137,244,768,786,029,485,823,260,
396,390,969,896,661,005,040,417,040,751,341,742,615,867,604,058,942,764,379,
662,098,637,587,429,664,386,566,248,020,958,918,975,970,894,847,449,337,781,
421,128,784,466,627,256,746,025,542,030,574,123,481,888,284,865,358,032,581,
785,287,202,511,365,383,530,645,697,925,805,766,930,583,615,585,919,643,415,
927,707,602,101,473,025,868,349,081,743,858,173,533,289,331,659,269,358,634,
901,840,234,046,520,001,918,827,624,266,886,993,484,902,763,548,655,662,169,
220,267,876,785,381,298,244,791,927,090,264,319,915,209,031,810,258,237,101,
326,179,019,692,285,058,704,167,990,303,615,754,780,259,257,416,832,532,015,
442,300,826,241,845,712,196,476,717,989,319,035,673,940,618,980,652,963,381,
979,351,033,943,143,785,923,027,452,389,512,739,646,472,146,988,385,352,482,
041,266,320,957,826,844,158,360,466,768,296,545,852,129,640,035,149,288,357,
052,782,695,553,443,962,633,241,694,806,880,617,118,926,519,288,194,092,922,
008,942,906,594,227,647,502,481,480,874,522,363,585,705,397,426,931,174,366,
332,626,186,932,281,850,972,499,239,983,411,427,872,559,991,988,729,160,974,
062,751,043,249,745,109,138,728,065,769,544,529,807,090,300,379,615,786,514,
417,913,123,599,203,975,091,647,143,696,418,098,586,264,562,905,301,401,815,
053,535,900,468,578,942,484,203,024,648,080,487,872,305,169,526,108,755,101,
733,824,662,702,707,963,611,675,453,498,789,466,502,303,961,687,890,734,629,
213,665,926,871,186,676,322,434,924,763,797,704,290,825,880,876,907,124,755,
863,995,029,861,521,853,395,877,942,891,673,356,624,588,140,707,629,227,438,
504,948,834,397,124,164,648,501,485,827,739,504,354,597,074,718,281,038,714,
995,918,056,025,943,583,876,890,705,438,859,090,146,084,792,730,953,741,532,
934,463,724,318,244,967,495,837,709,682,278,232,822,637,950,774,775,938,067,
331,531,152,284,480,055,223,151,393,205,432,075,747,334,886,234,003,968,347,
429,972,275,705,568,130,548,760,882,361,386,206,373,191,911,508,396,143,417,
449,749,922,847,237,057,689,174,026,353,885,240,269,002,942,964,301,147,169,
579,675,359,366,088,157,335,930,521,621,757,644,240,917,206,716,779,314,169,
990,068,143,615,704,921,468,106,592,932,938,933,237,883,631,991,234,683,051,
054,160,111,816,100,366,762,079,343,535,152,791,131,782,020,354,532,924,372,
909,632,080,541,324,781,406,019,200,408,530,854,741,401,789,878,596,805,776,
770,187,290,856,650,727,447,555,328,616,089,772,469,671,297,979,549,389,218,
639,425,697,225,178,559,535,014,709,893,012,351,101,564,774,501,389,190,414,
277,532,705,328,417,343,998,260,247,211,096,730,231,340,174,716,978,581,958,
562,227,833,732,753,829,004,740,544,889,399,624,092,934,787,257,932,363,041,
617,653,413,334,824,115,560,894,659,496,876,957,487,870,174,373,179,840,304,
657,616,872,462,202,256,513,721,703,448,829,807,116,761,340,243,881,868,632,
838,789,428,145,176,060,041,709,976,041,525,927,881,104,733,535,189,270,802,
307,342,223,911,711,837,755,134,269,132,611,671,771,177,329,650,009,136,601,
417,413,968,299,234,752,979,065,903,886,873,576,144,018,913,283,535,058,445,
006,246,340,065,994,433,757,535,021,185,224,010,008,827,530,874,785,514,949,
832,391,671,291,066,038,763,974,233,320,465,347,267,078,606,100,279,892,902,
142,923,822,633,045,859,731,198,857,107,500,155,932,166,369,162,280,860,989,
196,076,615,770,673,524,589,460,383,113,151,996,714,397,213,888,897,596,827,
661,646,701,528,035,102,699,897,371,431,265,598,541,040,350,305,779,110,720,
726,647,826,853,747,578,569,036,531,529,487,224,597,755,618,325,586,327,214,
466,082,226,579,744,712,242,537,728,431,549,505,524,393,500,803,212,815,040,
652,698,374,276,702,334,159,475,557,794,060,595,312,627,175,104,033,417,210,
595,967,049,589,100,305,737,580,057,393,043,253,390,351,621,998,140,430,358,
111,238,583,245,025,314,709,651,822,839,946,026,803,861,954,183,501,036,975,
850,957,762,526,616,565,137,838,514,157,232,813,238,664,516,370,721,359,307,
444,269,562,088,755,083,280,808,775,475,467,280,836,226,877,235,795,579,364,
803,012,266,724,491,398,845,760,882,886,843,243,093,871,676,241,546,999,498,
807,069,008,905,565,444,873,719,774,480,821,037,576,688,628,222,860,663,109,
464,121,711,206,485,242,914,562,577,787,414,623,304,367,777,776,069,914,804,
948,729,576,937,309,309,534,312,090,555,310,900,752,859,176,496,678,072,905,
075,428,357,884,236,303,454,272,955,003,615,040,033,933,242,724,874,905,739,
131,213,937,502,815,437,666,877,545,713,909,896,665,750,962,663,911,379,190,
870,137,108,389,244,022,126,591,071,367,137,407,894,523,703,801,526,089,225,
448,629,058,088,445,058,944,872,387,331,920,693,197,322,924,617,639,805,030,
929,830,565,828,197,106,691,778,748,620,452,950,831,424,802,135,972,368,685,
558,350,362,929,340,593,167,342,972,252,617,211,808,833,758,255,300,567,971,
086,474,935,731,937,076,613,946,015,217,400,236,464,183,876,261,989,176,292,
580,415,654,703,777,988,291,346,621,112,199,010,655,106,232,457,350,389,558,
118,435,051,916,876,526,248,018,917,436,320,085,433,504,445,755,950,433,797,
523,572,360,073,894,210,115,048,144,658,448,358,487,261,129,280,287,717,884,
088,186,556,673,457,329,351,613,722,921,699,972,717,841,054,674,228,671,207,
490,815,694,870,924,472,610,569,566,422,803,084,477,011,120,548,513,585,936,
836,704,783,542,922,711,594,333,293,985,257,194,808,386,740,625,931,085,590,
556,795,192,114,204,509,396,720,529,662,389,530,948,341,467,400,560,057,594,
059,028,199,029,376,742,328,840,899,168,273,534,224,267,533,367,363,679,690,
654,772,356,088,592,138,907,389,511,611,119,304,473,148,550,263,175,427,796,
166,757,050,258,578,076,222,259,960,366,386,185,627,699,821,428,697,153,654,
793,107,452,286,936,648,377,973,300,293,022,909,776,344,474,771,715,085,294,
770,254,871,966,884,113,988,393,032,320,460,767,977,575,888,041,472,486,384,
386,393,131,937,290,788,538,792,046,437,509,192,672,682,960,105,978,783,609,
298,408,462,227,433,098,455,370,047,760,524,666,427,235,414,748,203,124,431,
743,216,540,096,243,335,259,137,239,984,888,752,676,242,970,541,142,537,742,
535,124,568,207,902,575,106,507,634,236,474,282,387,694,814,037,314,584,508,
166,472,673,248,835,869,006,382,363,036,812,096,207,368,120,834,186,422,295,
737,593,619,938,717,122,294,362,298,647,710,662,755,332,290,260,020,998,750,
249,718,588,952,733,506,132,588,709,051,450,026,473,923,417,778,000,761,982,
955,748,648,051,620,954,281,062,657,390,015,747,345,630,585,875,997,335,075,
905,437,376,086,643,120,600,190,954,835,287,215,015,990,082,997,916,700,790,
392,574,445,541,221,970,749,037,607,008,343,642,682,790,214,166,181,633,933,
144,795,589,714,470,509,901,170,314,815,592,111,603,410,512,057,367,038,212,
827,343,284,494,500,601,363,408,139,207,160,447,402,029,418,184,235,469,700,
999,529,138,462,651,457,101,985,578,411,312,401,437,067,042,095,609,043,180,
709,828,877,060,788,333,357,327,318,157,727,233,655,745,598,069,029,007,709,
628,828,831,821,748,473,189,482,291,370,727,915,867,942,219,487,334,752,135,
447,599,615,376,342,936,636,113,354,935,184,800,552,287,856,802,904,799,775,
985,425,478,243,625,654,861,552,022,280,638,395,293,465,907,475,173,869,451,
322,174,770,851,455,691,383,399,459,889,423,159,458,290,081,580,094,761,752,
608,886,222,578,719,524,742,090,546,115,575,092,836,304,726,201,279,316,884,
281,484,239,383,922,354,648,655,855,680,042,460,667,571,837,654,753,417,093,
703,511,707,971,752,830,046,105,115,415,121,328,585,935,569,996,807,828,409,
889,604,670,936,057,775,854,974,973,816,720,330,107,581,048,679,432,997,214,
010,089,715,064,748,490,074,838,854,207,891,347,802,394,610,479,248,562,847,
594,588,256,662,763,682,834,917,700,719,436,310,270,620,382,226,701,394,986,
743,238,034,209,025,752,793,679,535,462,853,451,147,744,870,440,289,770,196,
149,495,892,627,695,615,206,944,931,279,435,162,564,291,799,304,765,291,416,
216,313,005,412,352,634,967,511,906,474,000,054,449,450,632,876,837,662,330,
515,701,926,689,702,613,418,591,617,442,006,777,526,132,406,432,491,062,341,
859,955,297,793,201,762,206,138,708,407,898,370,096,647,155,754,040,625,717,
278,759,618,237,021,411,467,709,841,720,164,502,113,901,364,584,723,784,594,
039,897,711,557,733,605,349,749,512,621,229,035,105,885,301,096,120,647,872,
058,150,103,359,972,691,131,429,392,492,919,691,906,631,603,020,863,985,560,
608,048,184,989,528,882,948,475,554,929,015,795,551,190,671,782,547,522,791,
617,087,186,395,221,835,105,474,476,287,916,023,097,026,049,003,511,713,074,
132,881,669,338,254,579,755,739,662,131,144,012,179,734,374,785,180,951,813,
530,103,363,863,956,025,757,068,647,872,009,265,232,818,517,224,616,238,494,
350,260,224,980,338,445,581,929,910,773,742,317,596,641,005,577,659,919,056,
356,028,485,635,397,374,871,661,579,496,676,246,911,265,149,026,763,983,761,
430,138,849,551,001,189,173,970,541,611,871,104,310,266,839,527,101,898,992,
817,067,870,504,405,016,946,428,117,322,730,680,612,573,159,953,613,678,215,
135,138,903,352,176,089,607,126,473,465,940,886,168,908,588,346,626,731,275,
240,820,421,522,880,507,173,651,666,240,651,245,703,327,204,709,500,841,230,
227,647,469,583,907,795,250,209,981,040,455,486,985,068,909,966,255,062,362,
500,567,658,640,264,864,845,497,410,167,569,934,670,122,054,332,003,133,764,
161,103,000,302,319,066,927,574,049,504,151,647,070,638,919,499,937,755,061,
215,647,043,776,825,566,956,915,274,875,115,886,159,770,750,237,686,388,448,
878,289,449,609,560,412,352,091,379,358,905,784,506,597,544,523,328,183,059,
515,881,780,617,443,638,117,082,608,978,944,746,609,868,700,980,575,512,303,
351,857,282,676,298,552,877,169,508,758,704,603,597,325,313,379,557,689,738,
058,850,720,826,816,516,505,652,951,906,058,483,227,139,479,771,393,473,387,
373,357,467,581,808,142,478,938,567,456,293,018,375,520,372,719,509,866,051,
359,554,479,598,724,271,944,729,913,462,911,005,484,112,304,890,562,166,213,
742,465,340,762,950,674,819,520,083,412,266,654,232,299,601,171,262,594,777,
079,535,332,521,072,315,192,493,588,551,713,221,987,061,182,559,558,313,340,
628,582,564,766,440,738,903,623,443,854,319,008,565,211,896,292,052,655,225,
999,089,495,899,505,684,000,251,841,880,978,268,500,020,459,254,072,509,920,
958,823,301,574,950,369,365,065,314,890,458,167,638,826,990,070,781,456,743,
202,602,331,403,341,226,179,858,844,758,796,105,511,271,598,020,548,094,978,
511,446,433,023,960,721,820,165,258,279,766,685,417,351,276,625,814,746,336,
636,346,339,962,354,451,699,241,269,536,607,502,440,189,669,629,383,449,953,
633,812,125,740,484,286,929,854,361,839,917,234,320,445,322,684,166,090,525,
805,031,597,564,089,173,068,426,043,154,826,114,059,438,123,827,623,751,741,
893,862,101,253,648,553,969,961,111,622,027,305,068,753,781,067,178,373,132,
079,046,093,095,092,017,843,680,442,778,695,864,126,872,596,596,667,780,822,
698,732,895,959,055,037,180,400,342,795,442,441,399,667,593,209,491,020,991,
246,839,741,930,116,724,848,811,337,103,288,700,750,541,261,506,418,571,006,
580,235,626,333,456,413,711,566,710,896,744,003,824,754,593,221,164,258,350,
554,172,721,700,089,270,899,981,616,120,134,774,228,404,601,152,618,899,887,
478,507,366,611,081,483,664,589,763,830,648,405,058,389,674,911,686,774,872,
941,929,865,634,181,695,552,044,332,076,971,621,343,730,445,402,077,695,448,
765,226,925,861,379,742,775,938,556,812,694,915,568,101,950,340,045,288,949,
379,017,372,102,799,949,690,230,281,143,816,929,576,592,710,426,060,710,274,
232,619,966,091,570,325,124,791,819,636,864,988,758,790,054,589,204,337,543,
525,901,317,782,006,634,644,850,518,440,827,234,303,537,203,052,770,561,727,
045,656,162,953,166,348,326,649,123,397,680,520,317,629,318,429,035,537,718,
894,919,690,735,460,793,030,968,629,283,318,222,359,433,888,161,218,515,558,
343,117,547,721,969,254,338,689,752,881,890,057,040,555,427,360,857,272,320,
793,102,093,063,722,380,732,073,470,551,559,587,792,135,682,434,567,642,886,
967,695,318,114,903,727,495,385,778,641,937,118,846,966,073,169,834,086,428,
810,095,410,142,460,470,841,832,107,024,025,833,866,993,666,747,715,474,015,
460,343,983,239,501,345,985,674,998,305,362,830,802,843,047,503,780,928,209,
744,203,743,672,611,583,463,714,228,140,143,331,741,817,406,356,584,009,900,
229,002,416,207,671,508,335,981,391,666,018,106,605,770,044,599,223,851,208,
776,008,840,207,324,225,571,450,923,903,591,148,547,712,052,382,022,280,431,
835,750,677,638,444,470,822,097,389,855,243,044,532,324,385,698,733,569,816,
453,531,165,650,182,388,952,805,592,129,697,565,320,416,789,992,113,504,090,
129,264,806,248,149,662,475,647,731,574,758,302,929,596,674,904,785,880,776,
489,279,950,536,718,804,048,984,722,285,413,680,786,782,614,958,041,674,473,
108,420,470,321,892,530,861,553,074,601,069,810,809,983,551,065,356,270,299,
144,410,962,781,868,915,346,553,124,454,788,821,960,449,784,274,109,905,370,
269,402,905,417,431,839,483,958,237,304,451,896,671,847,926,406,139,559,514,
665,402,493,749,470,079,605,272,845,977,759,785,280,834,317,228,909,353,050,
768,395,383,012,782,729,244,534,275,490,121,269,233,784,517,317,571,484,411,
038,490,373,698,482,892,328,572,559,266,344,738,450,344,294,043,838,251,100,
733,088,737,756,387,001,621,609,431,098,556,333,047,819,479,560,394,773,077,
176,765,279,777,998,998,148,718,309,402,053,899,624,068,467,073,028,615,705,
255,005,077,587,310,961,355,534,195,671,348,378,819,615,995,822,853,942,761,
672,859,068,709,444,196,372,313,432,946,707,806,891,760,392,579,705,769,189,
633,193,652,224,428,041,638,165,546,230,764,099,857,155,173,960,595,963,482,
827,195,406,413,792,278,505,926,290,702,391,453,777,572,932,234,005,183,931,
892,110,105,245,144,555,708,052,817,933,482,900,831,426,877,608,897,735,687,
669,976,142,858,006,255,232,226,864,602,972,084,963,693,170,823,331,401,073,
084,707,006,872,179,752,725,735,328,685,288,947,287,951,784,695,054,345,103,
921,886,039,628,349,411,926,573,597,704,011,213,971,207,954,837,089,028,349,
186,983,294,802,927,896,092,533,015,388,583,517,133,517,041,622,497,499,267,
021,288,695,054,026,433,764,206,778,977,880,217,309,036,115,601,634,340,996,
708,447,226,388,975,266,671,100,598,000,077,206,252,724,833,132,619,754,325,
131,548,288,620,233,716,422,215,919,295,840,041,805,050,717,879,319,423,839,
093,173,282,854,673,396,004,574,437,410,023,862,918,615,997,863,678,646,310,
059,940,846,343,884,307,614,291,927,334,162,454,648,329,119,008,296,708,560,
915,500,662,835,557,033,772,469,449,741,812,895,821,061,259,503,777,677,630,
505,259,067,262,464,656,126,528,576,734,926,971,222,327,847,045,639,949,510,
234,117,518,391,495,467,540,689,023,745,378,196,045,872,674,486,360,014,977,
325,640,523,180,036,672,873,496,992,584,389,874,523,158,377,687,070,272,022,
996,352,222,847,978,377,227,119,409,984,143,933,855,858,412,365,016,540,499,
375,057,895,034,015,862,558,865,185,131,906,377,512,316,118,217,089,010,338,
456,363,709,102,920,294,445,171,908,382,002,206,078,159,956,965,583,233,108,
256,767,048,868,327,526,914,679,476,874,631,060,414,215,271,038,164,334,487,
637,132,913,957,347,226,057,793,289,605,773,088,378,776,553,665,305,029,210,
137,789,910,658,611,606,266,494,771,653,496,260,299,378,297,756,477,239,362,
742,735,530,314,286,879,926,472,503,222,679,429,461,579,141,234,166,822,555,
590,851,674,843,280,734,216,368,466,042,505,397,066,429,359,035,385,057,179,
655,594,618,153,617,900,424,549,785,451,215,133,968,212,686,423,256,400,313,
574,770,069,801,612,005,079,813,736,169,101,382,775,576,894,852,852,317,322,
638,175,221,860,332,939,490,538,048,401,443,411,326,107,200,171,982,167,753,
809,712,112,240,447,010,657,413,495,444,024,406,067,360,637,380,252,789,424,
360,207,009,181,974,970,145,678,811,085,398,461,692,631,607,529,847,931,255,
424,227,803,562,828,135,839,431,711,649,422,173,465,551,554,585,752,643,997,
880,892,353,470,046,579,795,324,398,131,063,727,494,262,382,397,306,467,194,
943,912,698,171,580,210,235,594,459,008,601,920,135,097,057,325,919,389,786,
705,029,085,894,753,568,994,590,973,152,549,614,580,316,692,754,505,662,164,
584,762,188,958,091,538,193,998,131,369,304,928,930,456,102,184,359,460,573,
649,574,672,908,607,484,363,258,445,553,240,459,653,766,890,172,542,766,482,
084,499,986,951,928,938,580,231,809,269,778,427,144,775,408,105,459,311,360,
314,454,862,471,552,500,142,348,936,254,687,666,117,970,383,724,903,338,722,
327,298,852,235,383,755,726,602,869,468,209,883,264,846,110,090,340,790,118,
051,144,387,887,697,333,808,269,996,220,256,824,055,051,842,746,251,198,825,
536,923,112,441,835,487,458,116,773,552,029,891,111,117,980,154,554,130,701,
039,128,180,056,289,063,939,022,621,464,066,647,488,033,434,326,401,719,871,
303,668,868,576,378,067,017,660,980,609,697,729,386,830,369,519,258,570,061,
075,822,996,679,169,064,498,189,608,419,622,084,144,127,217,674,826,947,490,
762,767,880,817,303,077,459,671,004,324,827,522,266,548,602,289,405,693,559,
961,813,186,116,614,692,547,413,283,840,463,169,844,898,073,615,649,419,123,
834,972,371,564,698,674,002,507,000,062,130,408,715,062,586,934,242,429,566,
395,746,427,929,993,195,740,043,056,116,123,843,000,745,335,296,942,024,772,
364,292,231,567,918,210,638,649,767,029,932,370,855,722,163,531,715,373,567,
136,447,691,730,556,674,667,382,724,144,455,171,374,320,634,164,073,898,631,
740,469,514,379,649,381,868,414,436,849,795,466,862,513,241,554,043,257,096,
408,174,044,333,121,963,899,570,513,090,792,559,677,579,083,775,697,640,047,
168,295,657,082,578,545,961,822,338,020,292,852,793,362,346,380,714,966,684,
213,680,980,690,152,915,349,491,141,058,277,722,033,794,012,646,867,738,533,
251,605,528,619,486,289,206,456,823,623,638,035,704,487,851,750,323,633,633,
424,125,277,701,341,165,504,523,576,358,938,389,614,711,135,705,399,585,112,
870,379,018,832,158,903,917,948,967,185,913,675,070,315,599,268,436,199,266,
626,366,273,226,243,400,091,890,359,504,515,294,182,681,578,064,325,400,775,
790,032,928,985,936,852,502,801,073,326,373,491,799,064,104,258,789,315,520,
382,166,899,671,035,042,601,065,213,583,609,756,563,820,514,725,120,183,714,
326,605,773,552,892,001,780,695,415,794,848,547,874,141,790,702,420,059,903,
150,175,126,624,511,353,452,024,609,914,514,274,811,988,285,312,320,551,949,
640,114,343,248,458,127,332,550,357,647,315,626,591,375,758,540,502,929,362,
406,881,156,964,883,206,849,226,008,545,478,479,956,851,762,620,813,876,148,
150,273,719,082,572,102,791,325,952,037,567,647,799,108,440,354,055,364,662,
380,234,561,529,280,148,046,385,466,490,266,479,364,961,018,293,805,311,864,
214,784,387,808,149,989,840,016,220,816,814,308,894,646,295,927,170,955,222,
262,645,299,350,344,021,927,872,846,912,471,196,816,575,006,308,568,364,439,
982,794,413,280,104,908,761,531,722,260,691,265,670,159,163,262,518,559,311,
122,135,784,098,676,625,828,376,475,686,897,279,243,243,377,941,358,951,136,
936,655,252,700,233,237,298,679,722,151,129,547,192,452,898,335,942,123,686,
441,463,380,068,208,199,916,450,754,296,824,388,322,185,300,824,708,814,426,
641,282,136,121,199,555,345,785,732,365,480,693,933,956,412,099,089,406,016,
052,325,518,112,516,942,340,450,881,015,852,287,821,840,575,543,549,786,444,
035,804,357,233,653,035,513,660,465,571,738,119,573,038,616,419,413,019,728,
938,597,833,542,479,033,446,997,852,355,435,399,458,140,995,539,984,051,545,
327,108,584,187,101,686,625,440,684,989,047,539,350,603,007,466,227,923,877,
239,426,844,935,943,257,380,830,074,342,345,921,646,023,864,820,379,128,397,
127,742,962,867,429,950,723,010,909,270,442,732,162,784,104,541,126,770,747,
040,716,478,201,314,651,595,611,862,553,833,582,332,970,011,003,598,918,700,
090,645,023,971,247,913,515,547,462,309,203,048,863,603,279,772,042,348,970,
968,659,514,537,958,108,905,920,795,019,789,040,975,033,657,816,670,655,107,
249,122,800,177,063,158,052,558,383,104,912,117,117,769,500,850,988,009,478,
438,871,168,940,928,455,483,395,765,069,883,832,889,595,649,742,316,378,444,
071,361,953,986,887,030,678,754,588,594,826,934,135,456,744,286,629,508,239,
698,546,610,638,247,173,710,530,663,712,967,858,315,418,661,261,685,933,784,
225,034,070,948,595,425,418,749,379,695,816,386,879,076,750,543,628,063,368,
009,456,764,258,261,910,814,414,141,626,561,359,677,422,230,046,572,007,803,
402,665,745,502,127,924,848,067,875,217,892,404,965,589,850,669,769,780,811,
097,121,551,559,747,303,484,642,259,895,872,288,764,158,347,931,368,865,456,
989,066,662,395,750,788,205,199,004,634,101,429,745,645,251,567,382,856,604,
635,914,082,653,487,975,136,657,816,137,253,215,772,225,491,737,499,623,806,
125,563,866,402,354,658,660,691,932,272,534,780,804,543,614,278,315,654,947,
299,720,786,084,009,981,681,605,181,247,485,629,423,655,885,089,160,573,117,
210,270,479,609,374,432,200,556,710,212,737,907,261,807,256,946,356,086,612,
266,170,479,985,670,265,845,239,525,166,940,045,503,850,320,627,457,742,805,
069,580,603,423,874,409,178,656,955,863,493,581,358,847,634,643,244,113,750,
727,024,500,953,895,102,203,107,195,675,473,613,567,964,537,265,355,292,580,
198,264,552,215,759,762,849,191,404,610,346,109,785,402,758,381,390,260,996,
080,838,440,769,435,973,289,367,925,511,781,705,776,387,579,213,372,083,909,
927,419,097,049,472,705,650,856,377,146,434,575,066,941,030,868,083,729,619,
754,828,094,122,879,869,969,570,662,634,128,301,501,897,095,461,215,154,613,
251,888,175,475,524,198,303,595,086,492,800,932,589,333,931,420,369,088,294,
223,679,288,992,799,887,282,753,718,124,329,575,011,812,852,984,211,145,561,
897,459,684,828,198,328,716,374,445,681,618,529,654,914,848,803,307,984,111,
162,559,878,769,485,284,929,178,326,577,778,952,406,196,416,921,501,366,292,
246,423,957,589,083,171,054,668,711,589,966,519,155,140,171,797,017,320,310,
625,516,103,671,489,701,505,690,258,078,572,382,810,052,539,675,109,524,916,
308,602,579,244,581,530,125,278,291,409,911,878,958,943,253,674,896,065,012,
036,240,417,268,746,154,661,784,647,914,559,886,104,312,940,181,595,083,902,
769,598,646,917,568,967,405,381,588,215,641,320,232,085,100,271,953,553,102,
709,768,227,755,318,281,412,473,160,167,660,462,526,172,715,481,475,500,801,
319,976,328,553,912,320,714,172,337,925,903,995,989,743,732,621,305,800,861,
944,273,095,967,810,124,770,900,806,247,731,888,648,510,999,060,806,441,205,
942,004,328,655,670,257,142,770,685,310,701,705,179,248,082,700,491,582,217,
785,283,277,478,542,618,862,058,319,551,026,053,948,646,014,938,147,344,159,
324,244,264,884,526,264,833,127,843,364,376,889,115,260,396,521,815,579,700,
337,066,877,999,646,106,462,743,610,622,719,191,980,658,337,298,830,947,721,
908,244,135,398,451,856,264,227,182,827,680,158,690,044,093,236,164,318,793,
465,590,118,416,859,633,363,062,460,522,070,350,219,196,066,615,957,106,082,
556,163,985,293,233,580,536,663,499,204,060,191,268,383,202,339,404,570,768,
772,600,023,827,103,061,849,916,669,362,388,545,590,434,043,592,344,560,302,
885,061,716,822,943,022,675,263,444,379,937,091,793,966,994,823,916,042,488,
672,580,927,103,254,477,770,796,214,621,385,205,473,974,770,464,171,649,344,
710,097,944,230,258,254,763,913,792,111,307,458,626,089,471,106,524,852,360,
189,085,389,547,785,081,740,934,564,023,157,491,017,244,676,810,635,310,824,
782,633,902,377,922,594,209,245,791,491,636,702,507,568,135,082,676,182,835,
279,798,159,160,323,310,546,159,130,868,685,612,478,059,602,365,143,373,318,
310,014,258,243,071,110,156,273,805,518,105,013,432,440,686,379,507,426,273,
124,579,349,704,680,796,624,338,688,959,363,321,652,571,629,431,340,973,557,
173,871,931,164,233,812,425,331,871,542,715,988,469,460,901,312,653,955,773,
010,327,843,291,318,704,655,062,407,778,702,282,663,932,412,207,333,205,534,
953,115,270,005,249,879,079,951,346,095,187,129,856,049,477,225,645,939,645,
630,830,054,971,302,983,835,096,913,530,763,912,095,555,950,239,393,425,726,
206,747,987,329,684,023,940,438,596,512,593,372,428,863,400,603,567,897,773,
858,844,668,751,158,331,771,869,759,029,795,841,452,475,180,772,168,547,985,
696,967,422,566,056,991,802,148,189,446,587,662,847,732,411,499,712,411,438,
584,514,446,053,932,737,337,028,504,356,279,980,963,327,514,468,141,120,626,
980,661,354,790,241,260,904,587,642,310,363,622,148,798,113,736,253,216,449,
497,059,608,855,128,660,180,969,025,060,159,498,620,350,968,596,430,037,130,
219,936,229,889,718,194,851,440,000,588,519,249,680,575,524,318,257,396,185,
229,294,536,606,191,048,327,940,372,352,916,964,628,700,317,028,483,956,584,
939,844,482,845,984,650,794,142,301,655,759,660,054,137,209,096,612,644,257,
579,100,360,050,675,196,445,717,992,098,830,795,166,683,987,133,590,783,978,
688,379,088,128,900,872,235,039,393,069,576,843,039,617,484,698,277,224,330,
113,497,030,017,485,823,119,041,241,329,595,406,188,087,464,483,739,551,063,
667,302,171,502,717,807,558,695,116,045,792,351,639,645,015,480,735,789,076,
160,546,068,319,713,138,618,743,499,394,769,873,540,242,110,924,608,519,069,
730,057,081,803,565,869,767,036,579,222,295,566,805,554,511,793,673,288,443,
306,404,554,857,189,614,334,489,614,273,886,943,125,033,531,063,761,923,195,
595,132,675,834,173,519,146,990,834,111,181,604,019,272,777,120,402,151,933,
048,256,834,415,349,339,919,516,027,157,752,683,031,680,164,659,109,571,597,
087,442,263,004,410,582,419,882,438,836,778,584,499,868,591,483,818,763,497,
361,270,719,626,153,862,394,640,376,321,849,643,622,102,782,306,438,862,871,
998,960,397,016,869,313,106,245,454,654,151,596,949,136,479,313,356,029,510,
828,954,622,026,353,948,362,634,933,338,672,965,948,245,274,691,911,786,780,
698,224,830,173,500,968,088,164,337,320,124,492,659,713,967,387,206,772,108,
687,750,306,517,084,309,919,431,882,081,884,626,778,568,190,508,824,802,350,
560,426,628,309,505,332,655,949,359,611,461,168,390,461,698,057,976,160,069,
685,728,162,537,417,148,491,115,721,528,270,195,273,573,144,235,956,486,394,
151,883,566,214,525,364,303,225,888,469,857,407,971,164,783,349,684,618,897,
575,780,188,003,500,886,245,963,314,609,156,989,557,350,085,031,033,815,279,
629,104,408,726,618,853,480,631,041,412,672,440,426,423,913,237,298,328,693,
689,557,120,320,328,942,525,358,833,667,129,700,772,407,415,116,226,416,366,
871,855,605,462,079,015,514,595,745,062,434,355,205,269,525,972,224,907,402,
352,102,475,594,673,721,696,115,579,612,074,925,579,695,076,739,853,561,604,
435,656,788,808,131,712,121,918,893,552,974,259,772,677,809,688,065,008,152,
510,876,327,435,606,202,387,067,849,491,666,654,814,909,727,516,186,231,493,
392,753,234,056,683,247,835,856,071,488,249,926,317,186,888,251,550,529,598,
477,289,202,150,668,720,144,067,492,247,008,104,361,923,699,382,057,240,332,
250,013,331,716,435,028,202,955,124,524,878,972,429,954,671,413,731,178,649,
704,579,756,688,151,728,651,149,986,315,623,576,335,349,594,839,724,378,162,
626,349,106,890,209,491,590,075,984,503,161,007,189,427,806,807,796,959,985,
466,723,880,769,837,318,887,651,561,235,491,922,812,857,493,113,853,179,934,
695,883,154,959,420,250,507,140,257,238,624,373,375,871,551,016,165,186,166,
933,875,159,733,863,409,530,880,569,422,270,410,736,430,947,777,389,637,208,
617,646,250,599,466,690,761,533,319,258,891,453,531,268,757,218,936,370,700,
060,354,729,864,394,106,029,971,377,421,560,266,040,022,277,376,295,121,581,
736,140,474,331,044,102,936,481,615,459,867,409,135,566,817,594,254,214,118,
612,605,684,713,868,481,292,549,128,785,289,659,727,931,290,372,379,294,664,
261,219,889,240,636,037,012,678,308,423,457,313,837,680,634,217,263,628,225,
711,711,461,288,703,350,281,403,996,957,368,689,575,533,748,038,792,017,605,
524,199,500,951,333,295,804,447,533,520,677,344,527,127,580,404,039,600,832,
004,296,918,691,668,888,583,884,501,302,280,626,908,359,535,712,813,584,175,
770,827,385,771,912,117,436,986,012,539,802,716,761,471,245,954,474,759,173,
560,650,807,273,861,319,078,194,614,358,785,320,659,626,654,216,853,812,247,
037,153,343,239,498,226,188,644,830,705,754,638,251,443,865,467,804,330,603,
139,512,939,375,464,762,834,038,680,875,987,337,701,026,484,861,759,083,785,
486,605,844,167,260,319,519,174,193,962,644,132,717,236,323,187,632,991,004,
482,973,446,771,101,415,086,047,356,009,885,221,474,131,264,026,515,792,825,
549,659,088,971,784,882,097,787,416,490,957,289,799,786,051,214,261,579,757,
368,045,841,304,554,103,270,183,271,695,235,034,074,480,149,153,247,372,378,
204,914,456,636,727,932,157,086,417,588,664,261,328,957,914,358,346,195,327,
256,852,324,158,565,380,181,260,449,653,429,568,136,914,385,423,366,837,329,
689,909,788,952,907,194,002,592,476,776,657,015,620,801,511,570,790,098,452,
224,362,968,756,597,011,325,304,563,493,900,984,419,261,475,877,163,652,516,
590,013,793,806,125,262,347,247,348,302,832,261,522,645,247,450,100,815,048,
053,456,386,460,179,204,780,026,633,183,343,008,790,279,384,218,322,178,702,
467,707,309,809,236,244,181,312,302,138,209,900,493,195,153,516,736,754,835,
625,262,334,823,656,270,186,395,579,970,891,555,671,953,196,094,494,314,368,
944,181,115,209,877,549,496,439,423,210,369,244,340,981,262,359,635,291,325,
171,275,407,123,607,589,623,069,776,932,953,493,086,182,187,126,221,913,894,
893,672,896,175,488,589,443,535,970,645,156,042,194,342,164,321,945,494,738,
734,820,945,803,846,422,847,109,044,846,032,325,289,726,361,220,422,208,189,
391,952,609,809,665,071,312,431,611,484,105,785,336,325,966,058,310,028,114,
431,754,538,584,248,510,966,380,952,817,165,475,016,189,903,422,283,873,262,
074,957,931,724,733,746,749,233,231,437,513,407,524,024,117,917,438,087,569,
701,108,252,276,345,579,509,098,690,083,426,764,660,001,569,004,980,742,446,
741,171,024,084,175,476,959,390,278,079,180,201,787,077,469,154,950,918,575,
811,543,238,723,120,699,436,735,960,363,878,435,307,559,531,065,228,246,145,
544,098,338,840,158,564,832,445,591,473,762,711,846,412,747,026,876,541,592,
765,481,563,483,661,671,529,096,568,519,743,158,968,028,594,261,649,315,993,
052,942,726,212,450,345,999,803,054,457,104,617,273,441,336,596,635,545,537,
656,793,798,290,718,773,599,621,040,252,731,167,975,556,768,525,765,532,078,
617,022,351,506,855,717,523,363,572,275,074,421,603,412,935,573,915,388,514,
918,399,822,807,460,876,189,084,259,462,823,102,586,858,159,413,668,540,443,
651,219,061,750,042,732,392,191,777,237,502,131,855,523,843,559,267,743,128,
123,889,899,897,233,535,799,787,072,217,156,986,594,097,033,916,544,232,548,
984,833,534,564,106,952,937,700,621,229,237,143,735,014,659,681,407,297,159,
133,458,492,578,854,091,151,287,880,293,372,763,897,086,509,624,496,891,724,
787,256,782,248,899,412,778,279,510,769,704,772,051,963,783,376,148,336,066,
043,965,488,674,797,266,454,863,437,223,191,367,285,870,104,678,578,434,335,
572,898,683,756,135,617,584,583,342,200,290,823,640,420,782,589,303,056,861,
940,236,847,776,099,078,614,007,837,215,036,347,351,628,756,357,926,876,680,
474,122,012,078,234,261,991,196,959,167,616,145,471,851,733,255,021,371,560,
124,339,340,012,070,553,968,795,335,829,061,784,652,842,134,464,681,765,320,
185,031,136,590,899,055,787,983,805,471,963,694,589,067,024,913,902,108,010,
325,394,856,335,543,012,120,482,227,276,512,804,496,151,767,030,194,852,377,
493,902,096,783,517,326,771,525,492,163,622,185,903,080,358,275,976,443,982,
915,754,011,289,485,433,431,763,561,554,986,780,970,233,511,538,296,711,558,
886,338,080,376,570,190,437,123,333,614,122,556,228,248,555,067,763,391,846,
599,822,510,666,288,584,564,910,981,085,690,501,870,751,296,716,953,906,620,
012,650,181,221,749,334,000,130,508,620,352,620,476,118,280,888,241,476,471,
007,915,070,773,912,770,970,289,665,373,443,618,289,273,635,187,953,470,201,
838,821,283,529,501,675,596,987,731,623,337,313,500,784,065,482,511,312,723,
898,301,706,657,202,294,410,704,037,697,836,533,869,352,016,961,636,438,335,
596,402,837,796,636,243,712,634,488,797,853,432,935,666,397,848,101,416,362,
256,588,457,301,354,446,942,082,209,283,409,625,393,538,528,580,049,738,617,
189,149,272,628,231,603,707,187,743,980,491,055,457,787,754,229,171,416,156,
972,263,949,862,041,337,675,334,379,305,999,100,883,256,589,045,579,611,967,
894,358,964,002,015,120,322,640,873,644,135,105,259,767,882,791,281,026,802,
414,322,304,955,173,567,210,054,109,958,260,809,801,978,027,929,412,471,058,
715,589,537,834,992,041,744,746,809,716,157,955,869,234,065,079,896,102,605,
898,282,927,295,027,517,424,987,173,556,542,199,522,194,507,390,393,973,345,
154,598,570,978,845,616,768,007,386,496,927,516,906,856,770,083,944,290,860,
747,680,024,709,725,137,107,306,002,651,359,922,868,612,871,752,530,855,228,
298,495,137,174,233,094,531,165,234,638,954,820,062,611,969,824,423,407,667,
345,228,319,001,547,779,668,412,990,528,368,708,600,701,244,708,894,445,130,
413,911,686,415,325,469,118,443,477,865,320,086,658,144,457,095,378,329,486,
784,846,568,536,385,635,375,042,368,049,117,862,071,487,248,964,409,048,878,
099,673,386,919,160,030,153,020,468,358,019,124,368,935,952,988,197,554,407,
338,717,680,205,177,244,756,642,148,137,947,028,562,959,378,773,014,345,998,
229,114,438,385,450,873,741,274,773,897,292,956,291,556,147,397,295,493,678,
692,177,139,038,867,388,665,030,035,242,898,384,586,022,173,591,504,593,400,
388,587,143,310,455,150,738,066,992,711,069,141,004,715,078,742,954,698,262,
924,861,178,122,187,332,640,672,989,205,452,503,717,190,819,002,780,501,655,
473,485,738,235,705,565,000,645,667,143,587,638,666,518,360,460,971,378,704,
472,161,288,439,299,675,240,424,156,548,516,693,625,941,951,640,767,175,438,
837,610,951,669,759,951,986,174,679,918,182,273,171,203,958,118,293,256,265,
616,435,895,583,859,047,895,131,692,956,741,421,267,372,889,265,970,356,678,
980,660,738,880,182,194,200,457,356,083,054,594,629,805,363,257,668,173,878,
414,392,443,356,429,516,606,350,822,215,250,270,069,717,135,271,439,562,189,
884,938,632,534,262,682,700,838,040,118,913,213,920,226,504,988,722,923,656,
089,863,489,286,327,479,301,458,618,542,724,145,326,033,079,330,414,659,988,
242,701,792,941,481,880,011,930,803,631,803,561,021,482,261,167,181,245,447,
050,764,148,293,761,950,635,604,284,001,315,663,491,962,746,135,974,114,191,
417,881,702,101,808,898,489,890,812,425,989,577,556,887,793,564,365,372,096,
372,574,580,375,911,959,628,408,233,231,423,929,444,104,493,150,730,101,112,
625,448,406,763,387,417,643,009,005,374,318,778,421,097,362,120,768,191,895,
716,216,272,446,733,490,641,342,191,309,381,679,266,167,051,542,482,963,208,
849,571,287,375,622,682,986,924,553,791,984,550,036,113,741,775,283,668,389,
485,722,469,342,895,114,219,915,599,934,731,447,252,657,206,898,618,685,627,
131,796,443,823,880,651,750,775,133,967,634,810,606,620,447,997,647,054,893,
785,547,496,067,816,278,857,572,333,191,127,718,099,361,155,112,078,119,842,
404,793,072,308,282,568,642,871,071,373,630,058,840,741,581,661,695,256,720,
455,328,473,767,858,833,570,579,754,088,839,275,243,552,746,146,148,241,348,
401,015,655,342,092,203,355,823,784,595,493,167,016,933,985,487,690,405,373,
667,675,836,627,957,149,132,354,618,971,114,307,627,028,207,200,909,310,982,
799,830,928,562,711,430,387,317,815,672,141,916,334,480,371,728,722,543,765,
302,350,750,986,574,126,336,839,214,704,544,997,778,131,320,375,969,723,375,
318,978,077,492,611,569,221,990,820,524,281,058,986,781,447,629,711,792,171,
368,380,292,109,861,219,176,175,275,797,721,823,932,444,224,853,534,876,171,
447,394,373,907,331,293,582,007,887,641,613,972,207,726,231,265,815,445,451,
299,495,069,769,979,708,034,694,137,366,979,536,965,591,380,906,715,086,847,
618,670,307,146,866,587,831,508,942,865,138,518,300,748,434,400,276,664,879,
122,373,535,629,867,098,342,580,862,810,659,406,547,901,213,057,498,102,839,
464,788,804,195,466,174,417,041,656,616,595,287,188,669,605,028,301,373,771,
231,352,950,856,522,475,290,177,694,454,122,575,893,769,859,932,451,841,252,
647,811,995,942,348,199,946,671,683,842,465,767,357,821,000,849,246,188,783,
092,523,576,764,461,112,081,887,065,861,075,445,990,885,299,712,334,622,008,
812,088,762,052,542,848,376,930,088,549,677,911,357,955,702,514,737,898,331,
826,120,087,053,991,148,765,788,990,068,542,337,109,637,174,786,204,570,155,
728,155,253,145,976,855,805,593,397,385,984,529,444,863,800,355,562,741,662,
338,171,634,651,793,203,437,107,873,416,381,900,485,269,616,932,388,550,654,
454,478,847,167,021,074,692,037,305,025,353,909,805,300,950,614,959,437,556,
459,127,388,137,268,427,217,027,676,580,704,736,086,210,360,827,370,918,443,
574,625,602,895,828,767,138,873,641,128,940,306,024,376,317,588,688,006,678,
148,408,138,353,546,839,233,604,769,495,242,666,302,689,554,226,589,343,108,
992,326,981,207,513,696,612,771,740,399,737,121,686,500,000,894,189,581,513,
075,312,017,978,157,465,412,423,903,165,015,594,964,751,501,213,043,785,938,
631,019,051,579,900,228,228,108,791,927,599,399,453,274,105,991,653,611,127,
361,009,001,972,579,100,616,043,064,076,717,758,528,925,318,199,136,094,683,
683,859,136,399,778,898,594,172,618,555,511,397,883,293,728,662,997,267,288,
661,607,087,073,936,631,751,102,814,961,487,493,890,486,781,180,556,996,945,
870,357,980,636,891,303,307,789,822,696,298,651,820,894,580,124,460,139,045,
638,714,586,477,793,389,037,359,868,033,529,655,047,714,828,833,170,114,506,
596,682,802,269,509,303,594,588,619,627,119,445,855,047,232,320,338,624,256,
019,242,659,872,795,648,540,019,973,257,868,805,369,330,749,617,913,436,788,
690,782,038,734,823,711,839,691,346,507,682,185,458,878,745,504,702,376,531,
857,717,714,606,833,789,830,432,474,664,535,621,362,429,511,843,557,602,188,
901,631,673,532,896,586,151,344,640,603,919,083,619,592,650,327,315,744,488,
179,214,066,107,950,234,128,005,717,703,761,530,241,918,247,718,653,374,684,
575,933,019,845,417,130,959,735,436,852,898,177,837,587,499,186,740,285,780,
766,709,459,048,480,859,341,335,142,953,966,398,138,072,646,204,038,481,873,
190,935,656,478,108,517,470,330,551,779,389,557,696,027,438,948,405,836,596,
758,099,177,355,847,392,086,840,002,739,406,163,199,219,809,677,087,581,100,
396,318,477,284,168,989,451,637,844,246,257,063,044,010,226,941,297,710,266,
391,824,537,105,494,244,498,731,387,515,973,535,751,841,318,376,901,900,393,
739,335,665,716,788,321,050,105,831,987,772,903,446,393,218,617,939,656,748,
900,603,911,720,234,134,124,906,214,511,351,526,124,895,953,833,729,539,248,
134,178,717,010,763,392,003,989,814,924,268,498,160,674,896,231,809,580,279,
965,934,202,190,197,997,278,002,481,240,494,491,361,110,256,622,309,708,321,
054,288,446,793,838,877,458,787,914,724,820,001,903,136,929,252,531,693,721,
514,831,241,478,196,388,277,872,292,908,625,662,628,800,757,952,075,771,872,
948,032,637,308,423,950,650,934,621,959,990,681,398,514,285,168,823,319,464,
555,144,265,535,346,541,205,614,402,528,055,794,337,055,707,495,617,280,239,
377,406,543,847,364,373,060,607,550,064,151,672,943,831,124,098,206,079,977,
201,101,156,978,805,488,765,662,734,424,882,935,828,666,105,973,589,510,819,
900,439,566,416,222,743,935,409,502,065,422,498,891,151,995,082,785,422,482,
531,705,660,443,122,313,285,732,974,038,086,565,557,566,976,277,169,365,485,
008,708,769,717,840,890,521,974,904,288,391,810,975,799,410,817,155,662,178,
286,751,288,826,329,168,812,552,430,642,860,199,459,946,906,794,873,561,808,
333,071,526,323,316,145,507,650,641,914,664,289,012,224,398,095,388,805,850,
351,053,997,268,162,315,497,835,029,095,288,818,561,681,485,225,275,186,441,
379,152,688,652,105,299,208,742,034,445,351,350,853,759,849,665,391,079,061,
161,030,103,778,140,055,000,533,393,799,740,699,926,492,410,924,543,757,412,
866,862,574,579,435,380,777,742,976,609,853,356,500,112,735,303,595,688,243,
668,310,671,020,360,191,897,389,673,861,883,282,932,282,356,018,346,670,791,
701,699,084,826,437,006,661,929,042,368,204,956,859,596,069,494,289,953,037,
181,509,517,888,541,679,224,611,315,341,538,414,958,060,143,358,927,761,938,
860,618,586,344,251,744,294,099,089,984,547,440,550,106,349,907,159,907,587,
542,743,850,607,709,338,520,141,727,380,008,350,092,736,217,795,111,575,266,
964,876,708,972,944,124,341,843,694,522,505,768,588,831,709,815,975,451,843,
413,478,143,754,462,683,120,885,822,860,006,954,455,346,386,231,853,454,656,
851,589,760,922,505,125,732,442,558,088,077,964,093,400,379,138,749,045,987,
735,623,001,496,618,584,411,137,003,494,200,663,630,057,057,013,482,274,156,
244,746,479,965,850,548,927,556,503,011,892,012,164,779,852,824,042,925,547,
094,889,890,062,718,141,065,476,944,127,117,819,850,565,835,796,600,161,164,
792,851,825,823,400,120,440,296,635,831,105,491,339,464,029,377,680,275,198,
515,994,148,567,736,284,381,030,823,713,380,042,725,051,886,589,085,733,050,
572,136,820,599,453,776,370,189,641,122,070,380,462,606,568,108,054,725,700,
130,087,177,309,654,210,924,081,232,530,712,419,520,610,706,153,933,719,839,
733,758,619,756,645,702,839,435,088,112,537,038,232,414,042,313,415,772,726,
487,633,031,404,874,331,321,644,921,702,822,158,805,805,144,606,756,247,567,
656,139,355,165,206,485,435,257,097,539,425,332,653,644,040,212,894,571,646,
635,688,689,534,764,352,103,623,783,850,149,432,157,643,500,927,593,882,379,
488,904,792,511,441,411,785,280,732,191,021,383,868,906,809,446,178,027,896,
998,525,614,304,511,707,560,406,013,590,457,893,637,327,044,992,804,897,037,
446,784,471,170,125,831,486,106,281,623,505,900,909,910,530,982,331,456,207,
351,242,127,762,362,160,380,744,426,066,755,598,100,367,252,034,495,146,453,
771,334,715,405,709,343,571,199,259,147,815,687,893,681,943,968,593,236,223,
078,764,085,251,531,881,310,879,515,549,290,930,016,547,328,279,926,371,613,
002,950,821,910,332,562,195,324,903,713,403,306,166,453,211,873,235,688,635,
794,777,541,063,921,273,714,846,231,634,347,909,150,289,487,490,907,572,501,
343,861,763,984,557,509,289,834,626,428,570,779,454,629,192,311,318,498,059,
190,979,320,443,505,223,398,401,189,417,372,372,257,690,435,039,465,315,052,
414,007,979,601,995,389,700,724,621,198,485,468,582,723,172,081,506,461,036,
527,728,032,097,260,458,971,776,204,520,109,524,522,076,296,830,339,893,728,
107,211,522,566,398,128,140,253,305,201,178,085,405,869,327,776,929,951,090,
700,049,985,902,427,932,460,569,519,544,916,169,347,586,668,170,029,741,928,
273,324,717,626,266,825,263,583,630,662,951,859,035,868,933,268,554,763,367,
075,824,307,394,970,527,516,689,256,291,336,884,786,147,712,296,576,896,988,
838,333,051,588,149,128,675,443,139,836,633,717,876,687,968,562,372,393,526,
775,690,552,707,085,818,091,895,917,446,487,104,348,752,412,837,755,664,805,
311,863,290,916,999,304,288,741,789,005,479,497,210,707,577,122,191,270,351,
261,918,702,091,165,365,191,939,703,900,170,348,143,420,295,306,714,097,363,
271,681,813,609,510,527,190,994,423,469,095,143,136,253,535,827,014,177,560,
476,593,579,698,809,176,266,465,151,245,312,507,571,359,878,584,649,429,921,
196,746,755,675,571,556,099,864,199,930,972,781,969,216,495,563,475,640,858,
388,120,977,313,021,352,504,224,220,379,291,984,810,401,669,064,837,189,126,
980,468,092,895,780,634,312,923,861,557,020,565,496,574,939,904,088,211,697,
100,094,672,359,531,580,996,694,522,150,746,190,046,852,418,055,018,776,117,
049,212,320,848,345,351,279,362,921,664,448,441,595,158,056,773,545,832,857,
398,367,699,763,013,371,360,258,596,384,175,891,368,437,826,950,166,402,915,
127,958,147,018,221,611,496,818,512,964,415,966,183,353,859,636,046,779,898,
366,087,098,834,340,700,927,119,797,102,585,012,066,526,661,045,593,331,610,
165,279,284,969,464,846,360,845,594,078,136,128,074,508,847,219,047,930,097,
128,021,387,511,476,117,042,148,257,088,823,976,832,024,442,645,852,274,608,
048,016,694,854,028,570,775,187,090,339,187,726,595,154,926,836,857,345,995,
631,526,658,948,646,661,730,513,521,277,387,693,468,886,179,360,097,798,064,
207,826,122,462,999,674,877,510,941,681,978,731,108,004,951,646,287,687,103,
471,260,648,224,010,187,905,554,879,005,785,932,780,019,402,129,735,398,262,
134,663,381,026,152,327,919,886,015,586,702,782,212,579,955,744,425,211,930,
389,284,903,911,160,749,527,570,590,385,620,171,827,973,047,938,227,549,106,
382,704,489,560,454,269,770,472,746,303,262,882,185,540,368,199,593,835,384,
217,798,407,899,824,458,846,501,002,502,151,358,370,431,779,796,565,615,631,
438,870,232,188,483,376,663,400,582,776,086,174,839,506,871,341,565,094,995,
283,930,369,601,738,266,885,531,595,545,795,043,034,735,038,536,530,077,648,
198,868,691,438,603,863,258,230,862,736,422,096,204,953,136,926,078,382,142,
781,761,674,994,014,346,505,394,143,863,440,826,773,278,229,406,294,699,670,
676,002,635,432,537,832,003,941,602,162,424,509,264,689,887,696,346,689,271,
398,011,262,608,926,672,104,057,559,564,400,294,043,756,642,361,393,460,542,
716,720,790,698,456,976,381,234,913,054,153,437,633,569,251,684,445,623,475,
091,098,802,735,177,215,935,510,849,961,938,730,905,837,134,047,838,147,722,
163,408,223,822,666,518,792,743,485,780,874,147,470,662,981,551,294,077,130,
960,985,617,141,165,868,943,850,452,242,140,182,269,030,232,221,018,981,397,
285,026,806,296,700,102,528,593,112,492,778,950,885,363,748,258,266,839,052,
373,413,464,802,260,644,178,041,394,509,442,736,847,449,778,824,695,994,689,
420,166,147,471,080,782,054,389,044,058,054,880,133,783,485,075,471,308,179,
536,180,967,822,646,878,848,893,212,199,358,040,574,572,661,463,581,606,618,
687,373,203,068,178,199,967,673,655,794,824,328,988,725,022,075,186,536,397,
973,415,033,589,650,278,714,770,408,031,755,602,091,435,487,759,313,917,644,
072,805,656,666,466,728,690,853,058,539,737,851,908,695,291,016,169,045,391,
204,084,528,544,915,900,032,418,866,692,438,250,842,485,624,080,632,922,430,
165,602,047,932,411,665,608,847,067,729,214,257,471,711,526,645,333,113,511,
885,353,752,285,473,807,219,388,644,205,802,249,056,245,398,432,579,464,323,
286,725,889,835,763,110,501,227,469,438,028,306,100,720,628,444,173,840,263,
440,454,595,507,313,350,786,060,090,379,310,776,338,997,264,990,766,146,347,
688,866,906,497,721,420,271,444,375,479,506,570,488,362,696,251,005,594,443,
610,459,596,316,783,439,572,122,769,402,938,198,156,902,778,005,281,893,072,
864,303,042,377,942,982,421,440,829,343,664,790,991,265,922,625,288,714,895,
959,822,059,253,020,210,124,836,368,318,826,095,626,744,713,964,034,447,127,
711,219,690,888,252,522,299,463,647,511,959,588,366,031,429,289,590,409,775,
510,772,240,871,766,066,297,873,302,446,265,750,276,385,946,883,728,612,432,
778,693,175,266,109,335,114,072,419,024,940,066,740,624,023,556,446,467,569,
691,396,654,244,621,819,710,449,034,435,448,204,894,272,982,591,516,805,071,
334,319,083,784,262,426,307,828,867,107,549,090,572,860,153,374,519,398,983,
456,417,810,866,293,599,758,922,616,989,503,169,243,798,447,489,149,024,390,
515,262,243,225,988,627,629,251,999,093,328,077,270,636,102,484,716,565,839,
008,666,808,064,175,745,252,472,045,029,865,334,910,520,101,993,835,688,067,
059,709,422,053,624,523,110,621,351,829,049,694,735,094,758,220,734,472,214,
411,456,605,544,946,182,659,103,784,431,550,149,101,333,723,218,125,857,554,
114,549,619,669,240,870,955,766,743,811,478,321,603,441,989,885,361,523,013,
155,511,923,103,464,756,150,474,977,871,030,548,193,432,101,597,247,835,772,
202,572,654,614,226,808,120,655,176,443,263,805,058,284,592,688,614,070,146,
241,767,980,898,976,366,672,803,052,299,743,133,862,010,999,610,282,124,486,
817,644,771,048,212,956,895,008,747,326,001,157,608,643,217,381,665,066,852,
602,225,802,258,147,761,901,436,710,302,822,083,194,640,139,733,350,642,325,
488,302,930,662,423,595,551,463,400,761,852,765,658,050,151,679,977,241,946,
815,702,685,228,587,755,420,757,289,411,962,150,109,181,166,348,452,769,317,
114,093,294,539,293,392,961,910,395,348,631,171,527,204,047,447,084,345,290,
203,524,831,305,553,189,853,140,235,963,951,002,375,883,311,221,128,330,522,
608,926,902,910,523,013,809,160,598,089,774,689,883,044,903,796,279,113,723,
501,602,497,916,835,722,545,459,644,560,311,754,365,037,399,174,448,382,145,
328,456,930,686,525,382,661,640,925,249,474,333,789,950,931,331,522,196,297,
552,690,786,207,600,611,016,397,480,256,619,858,235,666,818,391,895,502,558,
939,414,166,358,135,708,234,121,657,758,629,143,835,603,521,405,455,215,350,
513,870,984,802,047,413,732,717,521,290,533,025,624,651,485,788,141,518,424,
976,530,080,345,793,968,186,463,390,856,494,874,650,751,912,350,933,278,432,
144,445,212,917,419,748,296,260,465,684,374,215,935,726,659,185,195,833,740,
779,677,517,403,589,791,284,116,246,766,647,745,011,592,678,299,483,948,617,
392,537,236,961,931,334,797,704,398,557,578,104,497,810,384,768,017,974,515,
063,403,583,144,763,042,956,570,639,022,646,390,002,865,727,960,653,974,309,
335,343,841,033,877,780,894,995,614,108,988,298,909,442,141,573,479,422,317,
211,194,468,215,576,302,812,397,281,135,605,099,271,015,420,603,848,118,576,
104,828,755,058,953,172,252,037,126,835,585,800,481,214,875,787,484,038,594,
672,353,618,923,366,628,421,849,445,419,295,232,635,367,094,424,226,209,792,
066,133,229,325,981,430,506,494,475,194,179,623,465,502,321,145,911,241,299,
008,444,277,582,328,125,233,797,553,146,311,425,946,923,279,069,118,922,052,
937,921,519,437,223,655,113,198,375,086,087,014,402,747,787,286,708,949,856,
184,513,383,595,724,388,274,582,936,409,876,958,963,663,735,580,924,628,428,
550,699,917,359,346,500,371,698,074,684,151,207,248,769,093,457,347,299,681,
338,868,693,590,739,953,395,557,290,632,971,269,236,032,622,446,336,909,489,
632,518,825,567,797,007,714,845,838,617,499,676,979,916,612,233,472,022,257,
806,734,354,288,748,969,957,472,647,483,514,070,847,300,965,806,630,528,725,
014,014,044,737,007,914,658,246,491,453,924,980,522,912,429,235,038,593,641,
565,476,468,249,807,588,554,684,151,459,620,331,342,394,682,497,256,278,750,
791,293,153,086,313,141,208,718,917,601,286,923,038,233,216,237,711,221,760,
593,082,151,530,608,787,291,975,065,800,214,086,406,595,289,375,860,064,767,
112,580,573,845,796,576,595,848,258,109,365,494,245,087,215,242,940,752,391,
395,086,661,248,541,976,706,211,592,423,126,969,098,625,339,658,832,706,693,
350,457,604,518,388,729,815,498,895,911,906,405,336,348,653,831,447,780,427,
680,705,303,811,902,700,053,988,763,101,979,117,194,654,338,370,863,966,433,
271,386,528,048,088,402,102,364,896,451,733,985,543,058,179,415,411,771,121,
425,052,515,637,944,026,120,913,337,988,592,629,108,172,162,031,856,401,783,
355,937,729,042,214,876,070,172,806,106,164,587,545,163,499,569,245,631,258,
718,032,512,337,339,892,856,004,090,764,231,332,726,470,689,365,931,357,356,
735,165,509,175,905,037,099,450,258,733,380,015,467,959,717,520,582,188,542,
748,418,771,855,051,954,963,191,926,004,318,432,672,715,814,337,759,173,874,
041,519,319,864,611,830,621,077,193,136,618,675,472,622,812,450,082,447,941,
529,497,578,041,354,075,025,394,015,984,058,889,292,889,479,003,499,463,473,
884,152,362,179,695,282,112,708,234,704,610,318,815,531,862,262,098,137,620,
713,782,483,288,108,981,219,927,491,578,362,214,314,649,675,450,303,956,405,
400,934,308,898,748,816,997,701,368,375,895,097,698,161,872,212,512,828,335,
895,481,793,734,009,529,730,804,116,617,886,900,382,609,710,348,439,771,497,
116,995,624,029,818,558,452,918,031,993,247,441,017,138,666,776,477,422,727,
139,156,840,233,923,605,392,965,724,831,014,434,620,644,562,918,647,549,009,
111,411,820,149,290,879,893,609,821,677,715,208,329,236,702,729,934,285,263,
566,148,231,035,050,677,705,993,777,535,162,654,468,844,322,237,996,848,904,
131,326,010,463,608,046,202,793,707,130,928,242,292,592,236,223,885,778,041,
542,940,840,705,199,560,588,557,095,730,150,477,161,075,760,703,920,821,342,
763,976,943,143,376,135,453,764,282,445,296,494,705,101,345,621,576,257,534,
701,352,233,737,151,023,571,464,189,707,315,188,646,570,877,253,256,937,175,
895,942,481,445,717,667,189,546,884,648,450,586,129,217,555,089,174,213,658,
270,314,200,918,501,730,156,554,780,667,116,951,665,319,421,832,060,630,387,
667,145,400,971,349,454,448,022,718,580,551,706,799,327,403,018,711,982,497,
373,094,604,224,412,806,736,659,640,252,563,800,983,299,668,874,195,568,136,
921,890,708,525,904,674,911,632,386,550,466,695,168,763,208,608,018,878,930,
999,044,868,139,023,865,258,998,297,300,597,728,191,457,645,107,129,571,894,
444,511,913,316,071,630,574,851,468,515,664,432,153,114,249,805,245,882,142,
791,408,096,642,244,904,316,366,856,385,128,888,746,687,695,019,645,883,484,
710,664,961,695,396,991,790,388,016,378,129,725,409,693,110,106,261,560,496,
775,775,900,089,523,055,493,585,841,746,689,066,150,306,245,208,419,417,116,
012,033,568,761,889,131,289,047,616,439,318,357,755,368,419,553,673,895,740,
485,376,179,761,911,544,273,236,292,685,626,756,825,685,230,242,317,896,849,
685,784,502,888,306,407,686,534,421,072,663,481,033,807,407,940,986,742,206,
292,299,469,394,490,600,794,992,157,310,185,893,189,828,256,722,930,509,439,
893,970,897,394,599,512,323,848,531,558,187,341,775,828,258,669,046,074,810,
775,636,081,189,405,956,745,823,575,426,305,061,760,751,877,230,544,484,029,
945,946,942,732,440,432,759,704,063,228,534,222,234,782,768,363,544,280,134,
454,318,598,208,480,197,602,778,299,379,121,621,346,548,006,868,644,571,069,
700,974,901,031,220,449,419,499,330,905,121,576,782,844,304,883,514,398,703,
800,996,921,049,945,980,111,483,018,754,854,306,940,685,011,321,034,332,698,
844,850,835,548,400,435,325,790,936,412,995,368,893,784,998,990,603,329,260,
491,038,896,459,445,290,739,077,836,471,840,160,185,292,505,950,705,585,876,
025,637,989,317,656,880,592,491,021,161,224,252,407,223,481,877,131,953,473,
070,278,145,060,673,536,450,452,934,603,016,895,342,249,962,258,925,375,095,
836,579,643,191,232,302,540,978,061,224,724,758,371,599,511,157,146,333,296,
386,613,905,848,366,589,129,932,970,935,951,284,260,906,511,434,145,299,700,
965,934,142,852,558,943,977,081,593,234,011,470,229,574,148,939,636,985,172,
506,732,320,072,686,758,207,288,035,622,197,223,271,379,582,819,609,506,600,
837,644,554,697,953,329,085,528,928,856,706,819,762,666,492,183,484,448,291,
768,969,299,312,972,797,536,736,862,023,610,732,186,974,551,415,407,125,703,
539,922,543,979,814,477,091,468,170,522,051,303,574,693,664,041,383,024,374,
845,767,750,116,178,866,091,286,249,231,132,572,458,396,110,665,173,205,951,
392,934,072,107,218,659,530,343,194,853,419,021,875,940,905,445,891,662,693,
732,845,527,757,852,464,388,939,320,202,370,929,668,395,619,029,485,435,119,
901,826,551,259,516,738,963,622,521,815,692,434,820,738,989,468,089,490,684,
911,298,623,006,033,859,898,417,685,180,338,427,461,437,084,860,978,583,209,
737,078,762,205,620,401,485,588,193,293,602,467,027,850,511,664,754,141,432,
059,973,003,281,067,139,478,362,936,254,268,814,395,540,550,808,055,467,225,
631,125,241,072,304,628,283,144,244,685,299,200,857,884,886,658,700,333,126,
162,216,208,506,577,050,993,709,971,569,776,488,270,228,077,395,507,685,886,
484,638,103,145,159,772,233,203,628,539,363,620,634,071,992,508,475,539,654,
634,984,912,011,077,889,010,087,445,384,876,187,835,188,235,331,739,058,757,
364,445,522,757,289,589,078,880,784,840,433,890,485,889,786,131,739,036,977,
573,974,602,857,579,845,789,217,681,441,410,325,684,373,664,781,137,876,852,
898,364,413,357,935,535,882,019,979,599,040,074,710,939,928,620,834,787,685,
969,358,408,466,070,520,364,650,717,613,694,172,443,610,230,217,134,551,633,
016,176,422,520,786,874,564,956,741,735,696,331,546,917,246,593,165,869,291,
865,739,394,568,809,090,576,446,179,639,593,281,617,673,580,914,430,196,500,
508,723,266,456,380,553,622,177,687,004,325,083,150,233,456,676,011,437,163,
071,658,927,600,998,838,669,335,538,441,716,630,875,651,031,197,799,105,652,
619,228,431,346,573,198,758,570,922,467,810,466,259,059,812,166,818,282,354,
906,613,871,446,946,644,881,338,693,805,778,836,068,381,685,596,216,217,558,
312,295,778,409,625,728,109,928,057,243,480,571,182,596,779,480,380,569,502,
370,145,667,673,268,416,356,711,868,461,184,811,248,870,012,962,684,517,809,
531,510,645,753,539,719,648,529,096,053,545,346,373,909,888,353,329,777,003,
864,438,152,376,594,305,393,789,203,251,256,441,038,577,560,961,181,765,735,
734,517,020,189,999,326,961,190,210,112,909,011,433,739,379,451,869,530,692,
152,234,062,563,730,742,891,564,163,470,997,227,340,588,369,654,562,989,551,
372,126,569,245,445,916,717,868,870,968,274,355,852,932,691,921,846,235,124,
230,160,401,767,484,282,582,301,968,684,438,464,379,190,033,496,966,648,501,
240,801,848,458,400,540,843,833,781,305,725,325,464,385,933,026,614,090,182,
973,748,841,769,937,437,999,779,342,168,877,892,354,667,984,831,796,293,657,
657,833,790,176,180,491,810,626,956,126,564,073,430,495,717,683,672,328,989,
555,117,859,909,260,015,439,933,257,795,521,627,097,355,509,211,516,772,561,
197,459,755,642,282,318,317,168,330,012,041,937,346,311,595,947,788,916,648,
596,801,597,723,637,423,443,486,985,743,186,411,181,850,643,063,476,826,713,
271,935,629,421,613,101,414,832,947,503,788,484,675,917,798,710,331,544,243,
714,391,377,509,488,275,653,278,929,688,521,424,577,525,969,466,540,438,568,
292,144,263,354,033,533,222,021,384,162,026,989,696,304,184,039,223,225,558,
097,884,819,444,813,750,092,791,307,848,266,599,651,582,227,450,263,313,159,
210,745,075,991,918,832,894,614,246,844,888,477,859,204,180,151,200,029,757,
985,353,330,904,172,499,078,359,049,686,017,032,812,924,666,445,700,920,365,
436,723,059,126,990,609,313,664,088,347,647,853,328,642,796,396,523,677,762,
353,870,685,811,906,483,259,168,422,096,347,206,941,745,398,143,273,108,757,
660,468,202,779,205,732,594,183,087,643,852,195,823,301,199,312,251,124,244,
016,226,514,180,567,077,672,900,765,968,661,057,000,201,720,247,557,544,406,
143,958,796,423,789,833,033,204,387,802,107,778,649,045,916,855,461,826,622,
005,028,893,147,512,686,587,396,148,151,068,455,512,708,045,676,089,965,731,
402,504,849,699,428,671,451,405,813,848,811,390,298,653,861,164,998,376,653,
287,187,828,347,925,376,614,166,285,743,188,275,671,072,174,951,840,061,446,
504,207,788,189,749,770,775,586,123,888,346,901,447,611,386,450,550,996,608,
401,143,410,109,857,212,788,432,136,403,188,896,486,003,133,745,480,267,916,
675,336,887,058,258,083,360,275,484,266,209,883,086,855,493,580,282,157,151,
160,080,397,073,010,790,271,822,946,784,570,931,226,647,225,840,069,987,248,
386,995,619,660,561,136,702,965,951,175,782,958,741,388,285,449,563,395,334,
247,903,600,801,108,538,459,594,060,229,957,042,720,819,233,932,730,234,332,
567,032,150,497,863,773,933,635,063,017,931,237,217,560,603,023,796,470,148,
661,636,905,847,472,402,526,244,453,236,479,358,149,764,453,104,318,179,863,
471,316,365,901,270,983,840,682,558,409,436,721,197,884,021,372,234,833,390,
860,265,825,232,407,073,473,775,005,397,101,300,969,095,536,911,335,976,033,
173,240,299,888,238,738,175,323,020,637,461,364,583,489,772,816,517,813,377,
968,949,459,018,744,880,860,148,752,341,671,737,809,054,703,756,165,709,372,
977,711,909,989,471,280,248,893,687,101,143,313,061,249,818,874,249,834,717,
825,485,297,351,204,280,659,736,778,083,151,015,096,995,235,791,376,915,800,
099,694,729,765,022,901,451,820,501,497,256,657,637,659,254,855,897,968,883,
251,361,415,380,232,599,457,801,893,478,600,854,859,649,095,428,218,907,822,
849,110,806,763,509,074,214,845,684,707,705,123,014,237,505,285,662,429,600,
282,655,074,236,865,208,208,832,339,669,986,742,367,355,283,890,989,568,277,
807,590,017,915,330,008,591,215,766,620,888,359,996,641,377,665,598,639,987,
975,536,263,580,755,126,584,585,008,566,454,152,377,346,213,505,194,373,795,
531,122,926,171,250,244,136,384,266,723,359,844,814,890,753,979,898,999,433,
433,662,614,239,789,911,223,412,708,617,922,907,431,406,928,307,089,175,585,
607,734,317,426,198,081,412,827,846,587,925,792,110,385,445,511,835,381,829,
273,950,459,256,156,775,641,844,686,006,136,017,680,966,233,972,227,262,406,
558,767,474,802,130,055,153,294,722,128,224,942,333,699,557,608,923,957,791,
603,721,049,297,256,903,543,313,683,393,201,068,308,975,071,681,066,341,899,
299,976,398,764,871,002,747,251,147,902,767,146,709,132,884,200,002,320,490,
177,580,259,509,237,180,565,182,118,916,838,042,171,688,189,348,649,148,736,
257,647,000,469,000,775,917,744,713,338,671,974,298,769,285,200,668,009,240,
787,146,866,476,941,614,324,297,412,131,173,521,744,076,605,726,609,037,070,
924,832,908,733,626,735,659,553,454,505,697,211,935,968,453,322,462,888,625,
397,789,555,077,607,098,812,955,216,785,047,687,097,434,183,388,640,157,656,
741,670,372,040,102,829,174,478,029,600,750,201,690,109,738,749,118,116,049,
168,795,278,802,978,994,836,770,067,683,662,882,161,838,299,960,877,000,378,
644,512,424,085,611,031,162,778,467,706,876,737,320,875,464,253,214,278,248,
847,710,334,488,908,258,667,941,551,889,327,697,670,839,667,365,327,849,828,
260,750,205,446,753,925,408,498,663,404,454,536,922,165,121,145,898,791,007,
353,536,264,867,895,011,535,190,734,424,469,033,443,769,694,609,525,144,424,
416,244,323,520,816,454,664,158,916,893,338,461,291,215,467,172,604,234,033,
995,728,640,821,703,375,255,703,850,077,830,028,413,277,846,590,241,991,681,
281,816,936,185,876,144,072,966,887,678,541,843,437,278,690,062,509,152,608,
785,291,298,116,580,614,686,611,079,862,417,926,996,760,918,279,974,009,241,
378,257,179,143,938,121,098,575,636,404,732,193,990,349,320,893,164,405,481,
483,081,380,516,062,116,614,105,468,772,840,617,897,010,422,133,053,794,994,
280,002,874,526,943,362,240,737,916,614,827,170,420,457,752,906,637,204,197,
891,294,037,071,230,722,391,466,266,503,153,230,197,759,117,076,857,015,741,
843,907,322,522,663,396,932,889,517,936,120,164,265,754,784,770,386,544,972,
968,319,975,212,148,961,758,755,545,656,384,755,606,538,116,238,629,297,483,
419,098,274,050,110,619,543,222,468,659,581,241,319,130,075,445,943,016,014,
132,611,037,011,233,552,606,504,277,712,616,773,812,405,229,963,143,190,409,
299,639,913,453,531,508,445,926,142,174,024,490,574,325,010,537,825,142,665,
899,833,437,605,823,735,589,251,910,257,756,186,052,046,766,610,572,974,146,
770,678,757,389,661,572,930,787,249,240,591,576,441,499,531,837,192,164,256,
000,691,650,791,580,224,228,893,257,575,790,285,187,275,638,943,418,628,837,
193,513,284,234,978,083,941,840,426,833,143,772,041,385,183,977,489,300,908,
398,987,636,097,641,939,587,841,040,714,393,638,001,271,519,005,215,118,033,
452,744,526,639,978,146,425,781,779,204,381,803,064,380,091,515,336,062,269,
788,711,329,361,744,486,279,356,338,236,329,813,588,146,946,293,804,983,413,
046,596,188,949,696,916,683,574,901,263,130,263,251,480,654,885,729,851,584,
585,733,270,156,824,637,774,748,698,976,967,776,322,116,911,392,876,145,487,
010,250,152,674,509,576,027,748,190,277,666,995,169,869,439,597,191,927,489,
181,267,143,800,811,401,434,516,693,083,119,560,424,188,010,488,212,868,272,
291,568,574,413,111,694,915,914,073,158,455,888,645,670,962,142,676,151,695,
487,475,310,103,057,032,401,263,562,768,521,140,132,380,391,964,178,078,353,
322,113,505,613,377,259,596,597,894,647,029,234,404,475,001,657,090,448,691,
928,834,789,747,685,359,038,739,030,044,141,426,274,032,606,655,371,140,313,
783,438,228,946,221,454,283,894,236,221,755,137,648,686,403,504,852,868,946,
508,204,713,912,981,799,521,714,543,120,476,396,793,182,352,027,397,095,827,
957,222,015,928,739,492,443,023,366,237,245,846,926,844,576,856,623,738,468,
961,916,025,922,278,218,915,190,636,061,810,132,566,984,704,410,032,698,093,
038,684,893,110,590,187,399,617,518,549,046,231,584,071,881,910,975,615,453,
542,712,343,822,028,540,058,740,857,523,608,559,723,147,668,383,937,045,094,
098,871,346,963,249,841,164,313,765,239,173,958,160,826,213,833,396,278,961,
268,849,559,933,072,207,233,343,122,987,593,550,224,975,389,138,835,251,547,
690,476,706,244,825,102,805,036,226,084,913,587,221,752,141,530,939,247,407,
000,960,890,510,896,296,922,822,233,871,011,234,077,583,375,338,830,208,662,
148,103,780,556,635,249,556,053,435,527,080,195,646,571,757,692,577,574,223,
141,675,040,256,185,968,683,110,634,637,249,702,654,415,536,020,144,729,234,
081,244,513,637,026,551,571,568,537,924,660,599,274,845,995,364,790,765,670,
835,686,266,747,158,443,560,980,674,022,140,930,825,641,736,713,403,366,317,
023,331,105,147,174,874,995,692,911,523,143,384,243,332,331,758,307,818,057,
862,504,951,532,502,724,623,892,087,336,854,938,048,164,291,017,629,264,092,
777,903,544,145,458,911,159,577,635,497,716,058,204,381,955,760,901,102,107,
766,399,542,059,138,290,602,339,645,145,330,360,675,266,305,589,348,478,371,
795,164,108,349,362,601,733,653,831,487,390,173,907,376,616,212,538,792,300,
306,174,348,078,284,892,615,828,046,196,421,001,051,792,167,311,477,706,986,
911,695,176,349,378,914,525,953,396,062,543,796,108,931,753,004,316,806,507,
075,469,778,087,892,018,124,143,969,095,489,326,831,651,668,324,238,555,509,
274,501,374,819,298,619,975,048,024,357,238,920,041,475,897,161,608,626,697,
061,158,721,625,460,993,493,482,866,479,897,345,032,267,493,767,437,457,631,
050,719,768,466,740,742,916,082,026,146,752,023,024,204,061,369,371,418,416,
474,626,065,541,084,697,708,871,942,825,415,899,956,818,089,416,897,131,034,
596,189,841,080,414,546,752,583,398,042,590,062,218,503,263,044,865,413,406,
460,636,060,072,415,932,575,854,591,892,588,073,143,655,190,796,327,841,179,
012,597,912,938,953,161,388,723,768,901,953,591,449,996,555,086,225,737,328,
935,270,556,878,045,541,753,337,633,795,816,555,895,095,095,037,194,014,848,
279,773,600,595,137,876,036,247,205,237,097,703,449,572,413,963,950,458,615,
337,787,946,190,136,988,374,826,895,174,427,157,269,542,120,399,642,097,950,
916,336,921,875,098,244,754,399,030,476,605,180,164,640,184,964,443,518,133,
447,988,949,239,682,754,601,458,963,283,501,900,301,088,743,954,537,000,227,
121,383,053,527,128,767,914,097,423,606,399,992,516,204,292,447,496,589,986,
015,927,566,655,125,520,945,286,558,848,544,587,974,483,857,730,553,667,377,
651,189,681,975,568,444,037,894,118,490,919,034,196,728,402,241,211,995,891,
325,343,680,201,927,989,419,234,010,632,239,784,452,710,527,205,089,766,257,
114,054,202,507,585,149,674,923,316,207,624,780,112,955,323,664,439,034,326,
212,765,034,730,910,980,411,602,828,070,851,686,638,329,978,002,647,511,511,
786,226,511,037,290,791,798,447,319,206,848,892,203,264,142,564,276,850,710,
942,349,732,748,103,281,746,588,346,949,791,438,720,951,134,902,267,433,061,
631,275,808,079,506,474,806,593,399,592,066,236,652,852,122,038,441,945,746,
082,800,102,589,298,899,804,885,457,262,060,700,837,323,062,965,992,424,999,
342,853,048,666,364,591,633,475,666,477,173,488,838,897,112,649,275,043,471,
353,175,219,418,903,905,942,684,827,561,701,506,028,158,192,263,574,151,178,
619,826,688,880,427,791,821,243,691,282,234,628,251,370,629,576,142,650,723,
500,224,626,810,640,964,469,846,731,767,129,813,808,607,072,398,528,864,001,
982,853,464,129,946,075,588,076,495,385,834,994,961,828,683,252,469,561,169,
164,873,294,009,254,100,509,080,264,048,147,057,564,228,424,899,292,844,833,
127,110,135,391,020,139,870,178,018,239,969,946,903,338,195,870,663,654,241,
439,648,571,296,036,188,711,674,000,054,482,736,564,107,675,437,633,201,172,
140,873,291,535,081,241,956,465,310,079,197,471,364,857,996,909,315,299,002,
249,236,912,256,073,493,257,112,899,746,462,757,091,644,490,942,294,976,327,
813,562,525,214,440,589,532,462,471,338,943,185,259,193,314,812,862,180,461,
989,483,329,716,149,761,574,777,557,515,742,475,548,000,736,631,229,531,411,
119,928,466,083,265,932,408,573,329,510,291,746,563,433,977,067,483,386,753,
011,902,313,716,956,204,849,448,907,721,277,225,418,158,849,097,265,783,629,
699,722,649,524,162,084,542,377,189,260,233,593,313,239,864,554,798,506,793,
611,507,887,356,911,166,638,894,659,725,066,355,189,640,784,995,342,471,941,
753,694,251,949,325,203,096,338,933,172,380,930,673,013,193,389,803,931,008,
161,475,171,308,160,543,156,683,377,659,002,759,470,038,390,220,198,586,055,
399,491,069,863,834,423,416,161,556,582,359,266,200,812,255,214,381,752,658,
854,980,367,964,261,215,661,321,155,360,968,733,358,752,012,363,886,939,779,
599,132,208,744,308,327,295,866,312,104,268,692,803,264,589,751,290,279,282,
570,296,745,744,152,497,446,791,083,504,444,005,591,694,880,025,315,624,534,
261,648,248,285,154,992,546,329,323,997,412,696,785,341,418,464,139,956,730,
697,361,013,231,244,140,853,184,832,870,892,997,543,808,245,116,355,043,337,
862,881,015,037,908,959,161,120,120,936,412,122,776,723,489,472,104,532,206,
269,801,177,188,319,359,959,985,379,131,885,894,237,044,388,656,194,222,647,
965,204,244,348,297,896,020,698,107,360,319,108,795,808,204,324,298,892,801,
938,556,403,040,766,907,552,203,330,476,225,154,697,993,584,647,777,642,362,
672,747,261,622,556,701,511,697,053,133,105,945,355,031,073,134,238,507,338,
100,413,156,995,075,443,370,849,203,530,249,893,507,709,156,196,447,848,643,
297,118,535,186,903,291,602,102,753,913,015,832,714,237,411,392,605,817,398,
150,372,846,901,976,741,390,559,128,142,948,730,153,427,956,193,864,573,566,
895,942,359,838,715,634,399,938,277,852,846,574,046,904,535,284,225,742,026,
910,484,387,331,639,646,433,517,817,796,917,565,117,689,995,602,812,639,049,
123,737,179,571,542,105,138,297,685,305,983,387,427,247,817,982,174,771,540,
980,410,235,446,534,049,134,679,985,623,390,956,010,740,634,916,980,417,726,
779,381,870,207,588,716,033,153,904,838,295,089,143,695,756,771,446,842,597,
594,838,330,923,575,893,100,770,079,758,686,992,750,613,072,548,821,923,174,
285,862,415,587,788,062,385,054,194,876,304,358,460,305,937,335,493,483,500,
071,996,542,254,316,549,899,108,817,480,696,500,914,771,822,816,737,654,240,
037,623,427,095,961,364,813,191,240,720,649,119,558,330,872,412,644,515,877,
893,951,192,181,554,239,297,161,286,899,062,930,397,192,357,814,704,586,554,
800,770,742,252,917,010,100,267,474,953,648,818,846,132,902,502,129,186,433,
956,097,439,966,574,715,344,974,471,627,385,813,699,092,575,171,965,210,147,
725,359,329,999,783,536,560,066,570,316,227,112,553,048,454,806,881,749,141,
749,759,624,354,164,652,893,658,759,487,194,574,350,932,479,041,586,886,146,
742,462,845,956,814,738,402,965,474,278,878,664,499,777,894,915,012,078,848,
400,638,351,838,844,963,406,640,391,154,189,316,310,151,152,798,176,982,322,
182,967,623,936,716,037,385,300,327,148,060,194,413,707,237,992,018,017,258,
506,185,884,378,130,207,436,229,902,073,622,367,939,978,667,729,831,506,716,
421,933,468,448,237,721,332,321,998,141,953,289,800,771,619,481,307,606,144,
610,333,381,106,639,429,127,379,113,791,052,086,633,731,894,376,076,144,650,
463,704,487,550,576,420,507,464,766,536,081,254,068,478,836,719,297,803,681,
051,769,916,508,288,480,334,369,088,033,986,641,941,210,430,074,750,592,688,
427,343,750,184,168,792,583,728,514,209,395,630,740,742,380,104,964,606,079,
342,694,386,490,894,282,932,043,015,023,706,544,474,368,478,743,001,251,915,
165,972,216,694,352,285,382,560,680,820,773,583,723,328,387,488,133,493,511,
452,112,880,668,110,938,938,943,755,804,407,100,794,760,673,523,713,983,755,
340,575,565,166,817,137,162,985,163,760,250,100,430,800,153,885,929,359,848,
587,206,619,561,817,796,061,027,392,467,077,524,737,550,223,783,105,371,154,
597,934,733,694,287,087,593,471,498,856,677,024,654,006,833,468,998,971,970,
605,182,357,259,360,634,054,703,734,674,862,178,468,173,007,006,862,962,426,
959,319,638,460,496,926,242,501,077,163,228,726,829,026,420,766,590,393,510,
512,974,042,707,668,500,720,743,190,516,939,135,270,016,268,779,647,142,318,
940,256,990,621,884,646,870,781,816,841,123,299,229,587,023,774,017,357,749,
359,683,724,956,531,100,720,682,826,819,618,920,040,640,808,375,876,340,186,
915,475,708,393,139,315,968,504,570,213,492,752,944,086,263,646,013,684,926,
775,500,163,605,079,833,149,683,311,524,429,856,370,878,484,478,014,640,050,
499,308,660,789,860,004,564,208,639,991,602,975,144,724,609,008,261,856,629,
742,294,631,911,376,738,869,075,792,782,067,630,258,825,097,796,353,193,712,
027,566,983,749,775,475,839,264,168,286,312,378,238,940,555,747,531,325,572,
074,489,711,122,973,400,885,418,057,991,277,105,160,194,235,145,542,487,922,
178,788,697,671,574,076,680,756,864,660,458,468,084,403,752,172,264,765,799,
529,156,504,153,771,737,893,954,300,728,822,854,937,052,748,094,595,518,510,
577,541,582,386,381,162,144,074,007,840,601,942,250,878,553,630,055,893,350,
844,413,752,888,996,664,159,875,536,588,030,386,466,130,361,409,604,047,388,
741,732,849,901,401,882,375,313,167,654,720,041,088,320,688,780,165,237,914,
799,152,730,815,255,548,394,126,136,317,897,256,250,657,311,832,789,598,017,
988,654,664,513,556,632,583,442,267,075,926,493,778,569,825,524,088,674,943,
734,519,326,046,539,682,836,397,609,232,733,206,797,864,628,095,361,436,610,
129,690,589,960,763,983,982,561,870,234,617,826,480,896,973,806,655,840,490,
239,166,794,871,641,179,550,745,971,445,956,955,255,157,096,418,818,890,325,
539,304,668,748,623,114,692,579,290,602,002,558,401,236,827,433,235,592,012,
409,145,218,956,214,764,415,632,166,419,949,309,894,531,266,657,314,748,338,
196,770,144,424,563,585,711,748,257,830,216,887,534,081,798,725,453,079,245,
271,546,813,107,993,048,427,205,052,455,836,424,231,307,006,953,686,509,181,
787,155,531,481,264,742,498,023,378,629,271,000,447,719,969,962,139,750,521,
151,490,564,931,073,344,542,413,043,541,944,392,358,508,472,398,120,895,852,
051,556,941,250,192,303,683,595,839,346,238,091,118,221,308,594,335,257,947,
940,239,049,568,788,941,024,510,206,495,716,959,976,759,167,082,047,944,722,
370,790,103,546,849,823,395,086,989,832,895,435,846,127,748,229,581,930,178,
695,918,779,903,421,135,693,818,538,222,355,984,423,881,836,143,921,024,348,
815,753,581,710,567,849,729,885,818,864,154,729,547,233,383,781,955,410,056,
311,218,501,518,970,623,450,374,271,585,609,846,836,990,385,578,976,358,439,
071,423,074,655,868,418,316,830,038,890,992,799,260,839,670,912,772,982,892,
229,112,450,201,433,084,534,787,550,109,871,023,737,082,818,396,157,890,072,
575,683,091,814,215,037,779,542,510,709,132,999,076,817,112,941,050,981,126,
115,851,302,690,738,213,411,504,939,552,877,867,038,273,279,408,159,973,324,
106,813,969,897,983,616,194,390,864,688,643,894,630,019,448,293,630,018,700,
997,232,341,463,402,105,336,370,059,967,412,223,425,816,952,431,079,398,303,
050,167,372,481,489,711,107,033,799,753,320,112,109,839,456,990,482,253,500,
616,641,310,445,529,576,594,227,698,297,667,295,337,363,878,169,265,814,081,
521,537,175,419,681,135,350,114,315,812,349,171,092,664,791,730,031,505,011,
544,674,957,126,812,527,784,398,732,689,647,297,290,338,248,483,564,639,642,
186,231,265,073,415,083,788,766,108,974,256,190,368,053,990,608,958,179,650,
039,421,928,434,306,422,477,226,923,513,740,666,088,098,169,372,740,940,577,
787,309,717,266,979,632,555,687,342,044,388,037,514,088,203,359,757,177,875,
618,634,259,923,841,975,209,006,979,456,481,452,730,408,483,875,831,363,249,
332,350,434,151,897,270,345,994,980,269,632,421,488,886,540,956,986,840,124,
673,389,956,106,499,412,843,832,313,794,209,999,362,837,046,839,900,700,258,
758,797,741,337,616,791,401,591,217,278,274,787,385,562,872,269,023,426,589,
432,659,579,658,588,386,095,046,665,372,243,497,289,480,018,991,343,509,324,
642,058,270,253,173,936,460,518,346,956,161,915,398,603,563,909,377,185,844,
416,165,905,298,766,712,945,438,680,094,858,039,123,759,336,917,859,961,013,
779,919,704,519,966,497,666,501,820,502,206,548,044,415,345,052,117,419,645,
810,243,826,872,390,628,895,686,983,165,479,315,479,684,466,345,447,325,575,
214,637,707,498,689,545,415,448,984,707,652,527,228,642,925,642,067,395,080,
897,494,712,169,213,727,880,083,362,268,315,041,748,797,638,252,370,258,664,
061,181,749,233,633,889,197,084,715,283,439,691,632,699,750,758,002,175,133,
492,197,936,668,986,493,457,553,562,851,178,804,771,910,902,021,943,203,556,
593,540,098,192,970,845,614,627,474,205,844,042,784,431,032,163,535,254,402,
035,303,443,968,191,647,118,242,301,927,281,592,130,110,035,882,963,789,887,
762,017,094,833,963,898,621,331,553,868,546,334,055,926,890,911,011,660,485,
649,092,070,292,614,190,195,036,614,168,007,923,729,975,854,706,349,996,364,
032,129,491,396,933,438,316,163,162,678,873,372,938,106,654,039,253,324,093,
486,118,524,612,239,568,771,560,670,994,308,536,224,721,602,547,337,914,695,
473,534,019,789,400,576,418,050,974,119,803,859,664,425,460,644,668,153,109,
000,941,013,619,326,331,860,438,205,441,096,456,030,003,313,402,340,518,151,
029,223,777,411,007,003,713,776,038,165,586,710,661,618,954,820,460,688,390,
807,719,770,775,227,768,476,290,546,551,579,855,623,835,465,056,955,656,431,
494,957,155,935,382,839,210,935,419,049,923,968,294,573,051,090,590,743,870,
643,772,798,309,295,639,727,964,196,309,525,716,700,055,808,782,539,001,532,
034,724,679,169,601,756,131,379,510,428,324,147,751,983,780,087,248,752,451,
606,615,174,184,870,359,557,402,000,380,213,306,733,684,554,948,020,347,324,
590,848,820,468,151,888,402,533,660,395,889,265,021,415,821,373,252,099,188,
340,815,929,281,181,488,139,151,703,908,588,774,135,412,811,538,900,570,289,
840,939,792,860,848,624,748,962,282,740,806,749,884,828,672,905,912,050,954,
584,136,148,787,200,242,901,911,336,898,083,767,031,814,352,884,428,747,489,
257,411,362,597,795,809,175,389,057,609,064,193,017,382,545,982,493,162,717,
024,924,122,201,933,356,877,931,892,806,672,270,180,135,201,930,399,807,441,
555,001,020,681,620,631,873,374,290,622,473,138,677,659,095,820,624,465,073,
613,941,587,215,888,944,043,520,008,356,671,386,027,952,909,547,556,876,345,
434,527,491,565,193,152,160,661,387,629,531,450,821,844,135,295,871,858,106,
068,283,802,993,129,343,097,660,548,236,822,397,579,828,563,984,686,394,500,
257,206,472,061,800,393,845,239,031,269,839,356,243,212,057,024,489,159,094,
678,914,032,216,946,539,728,227,564,114,860,797,541,516,405,064,536,205,580,
798,772,091,626,919,766,373,278,692,313,214,253,527,873,021,294,601,010,338,
976,044,357,480,654,778,260,617,635,435,620,178,932,475,215,221,968,047,336,
499,726,376,349,948,053,684,771,079,790,482,271,212,429,349,702,769,620,731,
228,673,701,198,374,624,733,856,147,559,617,358,295,592,215,731,635,475,014,
132,239,883,285,405,487,538,447,848,251,601,773,900,486,855,332,025,365,835,
831,405,929,698,003,713,946,135,996,495,969,032,703,120,777,499,098,146,911,
848,430,627,371,281,948,490,427,509,056,743,210,532,102,039,731,478,928,906,
207,592,764,652,977,490,709,742,025,301,926,425,041,804,821,239,596,347,977,
503,898,441,706,151,696,864,675,098,687,985,130,381,527,654,789,966,165,259,
999,149,469,020,875,099,021,178,197,831,607,321,016,972,145,598,525,656,375,
701,919,015,055,218,678,392,469,268,551,162,769,538,740,806,498,828,972,317,
011,259,347,081,105,624,455,320,217,818,274,434,501,430,578,705,699,377,467,
494,769,075,409,845,468,720,708,793,332,628,810,990,112,233,294,743,456,791,
249,813,816,836,874,082,380,631,369,538,246,882,926,008,879,000,951,601,893,
354,801,735,114,019,996,043,637,703,413,656,616,878,175,567,930,071,780,362,
111,925,894,647,997,242,791,570,518,674,992,812,186,172,874,233,056,286,935,
026,830,805,668,658,073,715,705,136,602,306,684,491,652,794,935,625,550,162,
590,367,396,353,186,017,464,225,239,672,844,995,686,879,470,217,846,501,360,
269,302,011,874,176,231,821,989,112,440,541,692,736,032,650,137,434,405,866,
412,906,143,056,192,459,407,348,958,634,032,852,865,729,961,301,428,305,110,
755,116,488,752,778,545,621,708,655,194,653,359,558,252,149,743,551,824,269,
977,830,272,989,997,025,126,092,608,582,551,160,499,082,902,772,822,497,311,
975,342,315,295,922,286,086,179,320,529,527,627,632,298,006,398,605,288,835,
696,720,405,087,504,739,363,743,310,863,999,002,111,575,919,082,231,841,071,
814,742,611,667,703,058,218,492,942,502,292,658,296,151,947,300,192,722,475,
284,694,134,637,735,193,791,393,548,789,700,896,761,265,044,897,410,673,831,
266,291,903,132,780,838,699,778,404,661,048,496,569,494,820,039,547,094,028,
488,328,375,352,632,906,120,120,335,746,689,591,242,031,311,598,502,328,698,
718,408,587,244,551,423,996,792,862,448,444,259,737,926,354,252,729,706,463,
526,144,423,658,690,965,679,374,978,792,257,521,898,084,986,128,584,307,095,
797,561,195,254,613,882,626,879,645,645,691,095,036,871,651,168,054,873,298,
098,960,459,673,327,329,847,421,321,695,742,557,323,985,911,910,454,258,256,
144,318,811,734,165,140,483,443,998,853,194,091,023,039,373,448,202,055,863,
236,248,255,384,198,083,985,461,755,673,976,386,113,170,065,879,178,847,608,
608,581,587,054,875,882,318,696,098,406,304,330,588,085,909,908,961,722,928,
634,804,296,359,968,162,850,255,868,529,266,580,196,146,056,422,503,110,542,
037,656,614,546,560,490,418,259,028,056,485,349,736,417,025,191,452,885,524,
903,490,805,325,020,156,867,054,073,039,236,148,621,081,911,757,361,507,502,
464,423,294,887,576,736,713,946,789,873,840,012,764,684,314,816,554,332,976,
224,547,431,591,392,906,195,791,133,305,927,553,753,380,733,773,933,012,090,
184,359,140,145,122,788,083,685,531,129,172,353,152,058,008,790,104,769,991,
764,775,805,928,087,445,336,108,160,992,571,754,325,360,684,637,939,680,164,
592,974,817,965,989,942,768,385,826,551,311,943,307,770,653,249,190,026,969,
434,191,668,671,105,942,827,458,632,614,267,491,635,191,797,711,587,016,006,
059,873,906,048,752,578,966,435,319,793,500,038,371,985,847,574,214,262,933,
085,755,299,974,204,240,259,118,537,410,639,472,966,059,509,085,807,840,576,
039,852,949,926,094,013,917,172,789,727,454,937,284,184,625,661,403,042,774,
377,211,713,839,943,934,104,225,834,218,479,523,093,894,682,550,908,351,345,
743,200,965,669,896,200,346,396,985,209,915,746,613,775,262,602,119,086,573,
314,088,403,902,097,415,190,116,129,043,376,096,973,155,885,577,800,020,362,
336,339,424,231,571,456,878,931,361,388,163,902,061,616,226,241,541,445,431,
910,072,909,776,514,379,787,118,325,597,129,440,613,381,604,303,542,468,055,
052,581,209,024,282,951,866,831,108,165,524,427,204,572,393,644,636,111,706,
213,354,994,080,371,862,014,151,647,838,083,855,070,375,422,924,824,954,877,
687,521,298,832,897,325,921,770,643,389,087,432,133,671,888,646,830,250,364,
907,676,221,332,887,861,231,861,234,601,158,586,305,841,601,347,795,353,739,
278,602,817,222,307,755,100,961,583,424,377,908,843,675,127,198,369,851,815,
079,739,939,131,043,616,886,593,935,358,563,079,214,118,582,161,882,942,290,
734,844,002,647,437,551,795,025,439,167,104,614,085,023,438,496,280,016,023,
054,709,889,092,012,778,777,062,575,687,827,528,229,229,285,692,197,768,527,
257,155,541,826,911,074,844,172,369,593,945,111,850,158,617,607,533,821,587,
358,594,442,031,002,171,608,474,773,171,269,536,349,111,034,988,186,856,517,
844,801,896,632,089,927,533,321,484,486,938,828,604,035,562,249,217,464,623,
306,443,374,624,927,921,296,157,966,741,830,122,661,656,894,633,371,383,905,
193,286,228,049,625,878,542,013,582,568,480,686,566,818,945,938,360,027,341,
844,642,231,479,799,738,752,849,456,062,309,737,096,907,229,518,122,256,767,
715,294,295,407,091,331,060,133,121,966,494,099,393,333,478,395,906,645,544,
513,804,194,435,398,081,822,326,758,492,181,175,481,777,058,913,993,967,848,
693,444,880,602,177,194,977,636,091,580,224,710,406,539,685,321,042,224,080,
557,160,715,912,086,098,996,460,354,101,750,602,453,968,550,365,827,400,566,
990,998,503,351,262,545,056,980,220,216,530,038,539,424,626,382,087,401,490,
192,663,784,774,233,671,879,126,723,682,442,036,943,403,927,518,072,445,472,
337,815,005,542,559,363,350,251,706,573,325,692,704,675,136,454,233,359,553,
785,792,157,150,410,703,927,846,038,801,605,606,286,520,995,144,743,517,385,
668,403,092,584,556,166,505,428,217,317,145,525,062,744,394,121,962,228,945,
296,917,437,407,656,443,714,047,832,406,634,510,949,956,808,308,086,596,475,
469,545,535,936,004,544,874,752,918,182,782,879,063,150,789,369,169,179,541,
020,891,239,224,243,750,218,893,244,564,403,940,179,279,704,658,895,593,379,
514,659,108,183,086,836,193,794,603,216,976,324,654,434,852,306,879,255,276,
115,323,356,804,301,441,570,253,158,607,577,759,404,914,710,668,364,475,075,
936,811,044,438,588,767,426,965,912,422,892,980,279,378,700,919,936,933,240,
527,632,348,425,047,209,903,293,175,740,099,377,433,111,911,169,159,449,633,
554,493,954,498,415,901,557,222,238,857,318,188,702,936,094,708,383,905,735,
312,484,280,558,720,364,563,799,180,523,277,819,823,244,117,063,210,835,441,
010,865,185,911,780,813,313,802,976,029,013,592,276,521,244,224,299,082,865,
900,784,407,032,139,461,573,567,751,227,750,483,055,901,856,449,469,583,590,
133,801,488,807,540,977,633,084,599,298,406,068,590,172,358,743,705,921,352,
139,745,330,642,677,041,468,179,218,651,291,349,905,809,929,491,301,533,297,
819,828,868,452,793,624,794,573,186,742,281,598,864,662,572,643,687,282,807,
246,853,114,208,970,838,017,329,312,204,471,697,901,828,503,636,902,695,253,
817,998,067,297,762,756,977,492,770,125,391,361,427,456,034,969,305,406,972,
436,133,196,324,657,166,690,039,306,517,338,192,031,632,822,711,250,788,465,
097,494,890,695,872,628,469,509,015,401,570,134,241,792,208,029,840,280,477,
937,855,827,456,294,931,740,446,997,120,228,368,683,820,154,593,339,121,395,
846,174,121,909,592,135,776,275,466,950,114,157,220,078,248,192,997,438,605,
234,095,722,777,651,738,893,890,168,536,935,423,987,535,484,222,715,736,905,
530,082,574,352,184,246,283,113,919,721,580,603,810,930,139,395,979,769,591,
097,180,293,839,253,989,197,933,913,959,339,772,872,124,736,921,167,831,790,
113,782,706,209,789,448,083,708,377,357,448,716,985,813,818,341,211,887,988,
182,167,973,268,260,973,940,862,879,775,098,916,878,114,146,195,065,208,784,
708,711,514,985,983,375,775,798,485,874,406,013,631,955,234,501,454,140,824,
394,337,069,881,708,415,818,360,279,855,032,823,719,632,515,758,314,129,330,
745,462,190,831,629,404,663,590,932,268,642,451,770,319,285,425,216,909,142,
913,765,573,568,600,654,182,892,397,676,386,519,454,296,087,901,287,497,344,
370,986,420,300,040,192,777,496,617,304,899,317,757,182,810,994,919,969,040,
022,767,223,426,697,573,579,510,411,676,911,416,471,017,295,456,941,986,950,
715,392,796,923,698,756,691,820,421,977,487,002,317,362,686,255,949,015,451,
540,688,168,214,624,822,649,985,205,685,873,376,545,821,168,039,522,259,440,
944,206,496,371,514,474,305,758,896,267,602,483,145,586,829,301,778,348,377,
825,623,985,310,082,667,644,743,745,079,899,080,261,877,643,019,546,400,827,
798,795,880,259,679,773,275,406,044,332,562,979,884,432,185,002,419,996,799,
658,503,249,785,342,351,670,146,270,492,485,078,473,313,049,867,240,236,911,
434,137,943,579,332,578,806,945,057,338,905,725,840,968,501,558,252,971,615,
437,912,829,161,197,405,241,262,705,630,835,986,310,002,604,563,188,505,137,
099,738,133,643,012,222,203,267,520,906,204,900,698,896,890,138,902,558,392,
907,336,822,761,642,982,611,718,342,915,710,072,153,576,942,123,632,160,533,
488,105,905,958,361,199,375,120,645,940,623,281,209,070,978,346,420,825,824,
723,192,427,234,947,484,688,603,280,940,749,473,332,305,932,744,252,545,921,
437,404,836,896,843,402,508,180,118,218,216,008,038,886,963,233,242,561,182,
298,801,955,625,008,232,422,832,874,597,863,650,135,614,036,465,767,873,624,
072,056,995,975,473,200,028,723,126,101,498,703,277,850,739,048,287,048,385,
904,223,477,018,168,685,148,102,286,048,988,626,333,699,023,484,484,018,801,
453,697,692,765,246,747,166,178,920,859,483,398,107,532,269,487,822,174,677,
913,404,096,546,760,224,315,748,039,181,643,734,601,084,580,991,610,105,396,
470,385,488,592,577,084,656,957,905,057,262,832,481,692,740,594,713,392,290,
783,375,568,921,894,926,023,233,128,678,587,236,948,825,561,435,802,950,029,
723,369,094,343,608,692,129,100,299,545,983,096,653,196,476,260,098,399,542,
886,601,410,313,174,230,813,420,846,631,464,771,740,146,308,424,527,740,017,
655,268,146,066,591,301,253,503,833,297,351,572,658,297,722,704,343,064,606,
695,586,132,540,501,780,657,242,602,503,520,978,584,437,043,430,703,668,160,
637,885,154,721,082,662,005,088,481,942,095,675,393,595,756,351,044,481,710,
174,866,879,175,717,125,021,071,173,814,566,714,153,807,010,888,553,056,391,
982,934,867,446,104,459,782,294,641,965,720,436,994,498,359,865,584,744,740,
346,381,424,752,945,302,555,494,329,129,626,864,736,618,318,888,730,287,479,
669,260,385,837,682,725,158,269,644,437,749,331,690,803,667,752,430,075,551,
585,595,041,006,304,421,388,264,826,616,230,481,871,610,875,451,885,354,712,
038,939,276,152,304,278,791,534,968,270,129,494,191,804,282,375,654,471,844,
410,859,137,775,101,313,555,276,435,573,943,513,153,545,851,613,295,886,907,
295,611,168,835,350,207,316,647,877,509,592,834,701,945,760,396,379,289,123,
475,457,406,342,931,033,159,627,087,664,232,577,443,420,617,280,042,685,214,
177,243,057,479,941,368,548,507,877,223,826,896,872,765,320,578,826,448,699,
720,733,857,349,532,725,634,856,930,050,058,295,935,368,444,919,851,378,245,
593,167,770,416,713,915,726,238,779,338,697,469,568,741,245,362,185,834,710,
784,985,360,344,740,200,422,941,987,430,541,942,376,749,201,594,652,710,628,
478,912,290,979,318,222,877,912,563,268,089,330,764,758,796,831,522,553,514,
717,158,748,880,405,847,161,537,793,854,365,088,323,210,999,742,435,122,668,
238,644,703,070,301,755,555,013,716,900,339,137,274,589,999,212,895,278,479,
124,493,810,868,319,112,262,369,925,736,814,233,963,436,803,374,991,903,983,
581,784,716,555,069,485,489,833,845,494,261,699,560,877,459,976,759,107,490,
159,244,077,195,607,487,355,029,758,782,713,194,210,922,473,974,408,804,578,
018,394,295,019,162,745,031,667,536,654,011,941,070,848,610,670,947,148,445,
814,516,928,080,702,494,354,836,368,507,836,877,144,486,913,274,976,879,334,
052,243,687,332,978,548,749,663,282,540,551,737,892,389,498,518,241,574,421,
882,086,696,237,908,791,395,805,587,493,783,692,410,072,669,759,129,816,256,
265,111,127,893,607,625,279,261,248,955,316,099,140,243,432,281,708,803,836,
102,036,358,288,729,968,144,783,153,192,886,403,787,110,958,817,136,731,761,
018,876,342,486,125,482,135,024,349,261,758,067,184,565,658,007,600,285,244,
093,229,698,625,159,599,389,441,524,706,923,717,021,395,021,540,671,001,959,
395,580,906,379,135,787,772,448,403,376,932,367,456,485,800,112,242,722,606,
496,674,203,092,925,357,821,887,530,368,192,495,155,976,090,886,850,991,142,
654,654,973,846,106,260,966,998,690,848,233,740,244,616,784,868,749,777,337,
929,265,751,328,211,753,797,108,246,084,869,221,760,058,806,345,843,961,607,
628,240,769,543,025,907,288,678,360,886,828,034,563,237,261,272,157,878,748,
992,939,573,912,479,952,448,716,145,983,017,445,858,438,077,059,360,306,581,
571,570,092,410,595,374,496,986,254,040,926,246,725,121,593,655,004,952,471,
999,336,548,989,308,367,908,734,831,420,442,916,140,217,297,285,883,062,088,
396,685,181,049,099,003,285,078,213,878,750,009,830,757,421,022,801,864,451,
516,740,974,866,134,583,961,377,066,793,138,138,539,608,083,241,040,372,516,
521,393,455,345,543,014,639,742,406,868,719,477,084,432,865,768,635,533,397,
441,570,906,573,621,447,049,259,643,962,583,205,132,477,278,818,523,266,265,
051,174,520,662,805,164,265,855,194,449,791,581,333,159,191,118,308,820,907,
284,906,574,179,659,700,115,552,712,802,055,367,912,413,020,460,651,531,552,
096,555,022,661,662,197,618,259,958,313,171,854,085,298,322,488,415,127,382,
539,790,971,623,824,210,599,795,801,470,232,534,274,093,341,899,313,993,422,
740,133,926,403,256,447,891,631,572,392,607,249,362,037,815,346,573,988,308,
433,831,063,732,579,621,010,912,927,750,204,036,136,419,110,304,581,699,392,
318,890,910,449,039,873,883,329,525,434,525,342,973,624,320,489,080,279,283,
927,975,207,111,883,322,420,455,208,910,656,766,859,298,553,460,834,596,137,
411,914,618,818,042,890,994,671,978,776,254,581,197,154,163,103,360,232,355,
713,430,151,274,595,338,579,251,624,138,663,892,942,835,029,690,359,654,685,
371,818,179,918,188,734,854,825,398,875,853,320,877,288,562,591,003,919,028,
091,647,324,288,935,740,045,665,647,637,637,707,597,974,584,823,597,666,827,
049,288,595,230,354,275,794,321,527,613,906,121,090,475,258,991,805,104,374,
834,787,322,901,331,559,788,926,174,653,411,698,744,226,527,831,684,509,971,
959,355,498,544,732,593,268,569,112,560,289,991,950,896,632,796,414,909,878,
430,243,781,957,338,684,893,342,612,429,488,685,190,303,934,927,915,580,169,
510,377,147,760,124,967,325,570,717,131,405,995,552,601,747,476,400,959,415,
659,139,917,014,932,571,510,158,698,416,836,376,247,477,014,517,072,520,995,
006,557,908,789,133,284,446,843,236,418,173,471,797,808,790,924,974,650,122,
995,972,408,544,294,932,982,876,444,055,848,066,467,818,763,956,919,217,290,
024,301,664,695,070,851,990,501,862,444,038,562,789,033,788,160,681,679,615,
546,418,517,626,621,810,278,195,923,606,188,959,855,893,914,350,705,059,691,
876,552,772,309,186,140,737,828,400,135,851,460,105,664,559,366,155,017,214,
340,861,177,907,934,761,444,913,086,916,897,623,527,901,554,861,074,219,535,
470,647,469,437,551,488,804,134,872,643,839,238,060,970,073,751,915,730,456,
200,758,065,888,133,078,902,696,597,106,302,760,708,452,130,250,069,618,404,
009,096,160,648,050,113,872,786,337,429,876,901,169,688,432,180,272,838,379,
881,476,469,173,568,763,999,127,672,443,653,771,759,950,742,915,008,458,177,
305,432,413,169,293,830,363,386,183,557,592,541,473,029,823,843,318,363,650,
088,149,119,766,703,136,211,525,111,063,590,964,051,582,965,552,433,191,432,
357,253,390,792,072,961,869,028,106,079,796,938,170,319,581,334,939,476,932,
202,373,921,466,531,984,597,690,046,914,626,829,272,253,071,759,868,559,420,
320,701,624,398,586,796,806,957,068,678,209,505,077,332,929,347,456,675,087,
598,072,384,487,618,697,859,164,000,913,122,392,533,155,460,506,312,027,368,
957,090,306,169,113,633,597,521,726,291,870,713,986,940,660,656,523,727,773,
114,930,602,305,902,211,649,934,588,334,673,279,938,539,331,399,157,767,403,
059,962,129,669,684,396,618,396,425,706,067,711,295,245,928,356,793,081,322,
436,423,105,383,607,504,262,529,154,616,508,297,081,217,400,548,368,330,198,
125,710,839,886,691,819,294,589,574,713,878,405,266,663,696,137,707,829,252,
767,937,859,785,242,126,884,536,357,261,240,990,092,166,071,348,636,085,209,
012,512,635,921,016,370,689,519,884,789,365,169,746,242,401,748,025,065,228,
778,570,864,563,848,698,293,580,427,356,020,209,084,161,985,023,173,479,053,
394,632,869,591,310,247,926,820,517,041,599,926,383,001,002,775,019,550,970,
499,079,630,052,276,794,885,641,033,012,968,365,111,324,647,857,746,000,246,
058,141,387,696,237,954,769,089,666,546,868,634,074,184,946,565,442,996,875,
659,293,179,397,488,535,597,911,399,674,940,596,716,338,028,177,458,507,062,
566,460,912,872,972,370,561,949,846,886,828,283,729,661,810,288,570,642,399,
568,769,276,421,951,265,395,996,588,468,705,793,459,449,772,391,338,197,006,
805,737,250,935,474,049,199,233,847,412,009,432,466,327,495,635,905,111,232,
682,927,020,469,342,124,527,623,963,206,801,073,779,596,443,811,641,460,042,
756,211,789,625,623,202,266,345,675,171,106,907,173,484,747,615,194,345,003,
742,427,807,463,643,047,682,367,696,135,136,013,534,272,464,280,850,016,023,
807,215,768,606,299,441,247,850,705,784,754,745,029,623,776,943,384,473,290,
142,847,311,897,881,163,186,665,648,966,630,035,807,389,639,542,650,602,844,
531,000,802,474,636,288,523,821,407,727,389,089,227,032,426,295,004,650,582,
647,024,911,388,456,233,106,166,051,391,954,857,580,813,533,094,422,780,541,
636,622,051,948,410,929,187,743,197,620,062,982,349,900,785,474,981,698,769,
156,300,358,658,389,732,377,880,645,619,273,609,620,614,521,372,871,804,829,
523,716,237,151,199,018,029,574,591,990,745,880,560,985,974,954,566,390,856,
246,376,400,691,859,726,404,333,948,860,778,498,532,896,535,623,262,314,903,
923,686,634,551,373,004,397,944,127,284,072,977,030,506,763,257,233,217,017,
283,633,156,283,509,573,877,841,682,533,309,260,000,806,227,950,532,834,997,
497,355,087,142,771,524,029,054,930,406,915,275,217,309,815,413,202,080,193,
074,774,865,010,808,591,009,544,902,898,348,872,203,685,575,168,147,786,217,
780,862,341,074,429,429,520,157,816,031,941,982,097,489,726,784,786,597,546,
149,008,141,672,991,980,109,272,526,995,455,525,224,721,362,068,040,082,937,
435,640,530,277,971,208,492,638,540,590,893,311,543,005,817,419,725,428,204,
914,562,447,561,127,321,901,573,470,908,794,551,169,208,279,623,411,184,566,
668,682,969,493,037,591,674,104,182,589,811,417,776,153,987,616,461,634,656,
617,859,796,103,576,106,192,763,919,911,037,735,131,379,873,241,437,734,385,
793,491,094,988,710,072,938,712,106,576,731,318,285,373,744,220,788,606,783,
296,830,062,106,024,642,106,230,680,439,684,813,199,104,665,291,647,534,303,
115,682,188,543,736,284,422,042,132,777,698,487,065,111,618,473,937,678,302,
542,986,890,602,298,327,179,679,547,541,068,792,651,490,784,200,594,023,928,
040,207,007,714,210,484,080,326,276,517,077,495,125,769,697,262,452,023,705,
732,492,862,866,872,652,641,591,027,504,795,279,315,436,380,335,101,321,241,
697,326,714,013,128,088,848,929,196,213,513,907,936,226,479,283,462,475,638,
875,632,354,287,586,967,926,650,478,142,091,770,022,371,879,477,900,382,731,
505,415,998,809,553,961,260,206,395,434,256,856,817,002,788,076,651,597,779,
147,436,790,703,834,156,249,730,534,530,029,176,708,637,114,724,602,273,050,
240,372,662,748,080,948,079,527,491,600,061,883,007,328,761,119,213,256,653,
918,635,316,845,898,331,900,391,321,631,746,043,398,711,698,455,418,766,045,
571,818,465,587,153,471,164,412,122,122,778,570,175,926,160,213,032,889,204,
452,319,840,591,831,478,860,223,443,677,714,129,171,231,106,873,069,602,458,
828,337,041,655,555,524,703,026,247,586,453,377,448,937,208,363,818,409,064,
968,481,115,174,893,650,025,047,966,659,009,106,014,070,420,092,414,242,402,
214,666,167,911,218,317,321,499,516,837,520,542,484,515,463,270,759,422,123,
066,244,095,464,268,336,530,111,357,560,228,294,550,311,647,448,912,330,412,
506,923,271,746,437,666,640,838,380,348,628,472,301,860,581,391,000,610,361,
680,253,549,854,790,336,006,963,484,053,899,063,404,325,995,700,293,580,999,
802,526,672,637,170,433,537,980,878,436,344,883,293,567,120,396,293,444,366,
545,883,351,768,909,029,350,868,749,819,777,504,281,355,568,702,654,505,248,
224,755,160,835,929,650,648,118,966,779,465,789,432,568,083,495,511,311,834,
886,337,268,992,144,730,105,169,532,736,446,535,418,071,969,663,149,841,583,
747,952,366,693,330,839,715,464,295,485,537,973,842,688,042,624,775,685,645,
621,924,263,749,413,701,202,050,504,575,757,447,677,143,051,298,152,657,285,
909,260,746,431,808,518,188,506,792,049,004,684,817,458,630,016,819,167,384,
945,644,998,700,146,007,237,124,289,341,431,460,997,218,926,782,743,053,258,
938,213,219,828,997,696,419,393,298,255,893,060,482,498,507,934,233,356,147,
435,263,054,271,394,606,982,270,809,458,353,659,284,488,298,048,686,880,268,
861,866,309,371,762,899,690,149,000,870,147,307,398,983,477,571,836,298,523,
540,010,497,960,251,698,448,047,077,922,989,881,653,540,806,887,384,274,445,
857,108,450,179,738,343,813,071,607,868,596,093,007,541,056,595,905,308,581,
859,150,109,584,729,504,697,989,445,610,905,940,201,210,518,696,795,461,700,
952,630,910,147,170,592,304,086,091,226,022,714,095,671,323,738,139,768,884,
752,488,434,895,891,053,021,928,364,686,349,723,619,153,856,311,820,383,586,
775,447,676,746,730,578,052,871,684,914,241,716,792,855,130,957,387,265,184,
012,919,735,097,483,766,379,931,194,169,989,290,027,139,129,566,932,629,468,
029,394,983,745,544,742,844,901,820,347,181,194,715,370,719,716,209,540,913,
799,146,036,201,055,610,777,890,013,358,803,674,595,494,595,350,392,859,237,
877,538,420,499,800,061,979,992,380,935,078,412,343,750,912,607,821,052,736,
481,876,362,274,976,208,436,260,892,853,303,793,175,344,711,259,445,850,754,
402,499,540,801,314,982,617,513,176,506,455,429,355,046,328,062,406,808,077,
401,564,664,700,306,533,655,012,891,017,734,785,761,938,833,531,330,912,297,
618,768,091,988,020,144,988,947,716,841,048,334,395,306,725,094,204,997,594,
920,186,784,887,512,781,987,804,974,837,459,767,376,750,135,131,152,184,547,
870,557,931,659,279,391,314,557,724,663,570,390,425,103,075,438,652,154,613,
862,451,559,380,446,601,600,664,058,238,211,798,469,982,375,582,038,073,992,
824,498,119,791,095,318,684,676,192,393,316,152,143,737,682,935,826,321,418,
175,322,183,578,792,518,829,915,367,537,624,173,613,194,837,952,404,797,260,
836,869,828,103,657,485,034,543,379,210,991,847,360,995,515,400,604,581,845,
256,445,995,750,231,535,759,055,022,137,011,258,303,769,906,962,156,535,785,
583,276,306,483,894,290,741,993,757,448,388,680,741,338,014,816,894,331,773,
707,239,152,449,618,939,582,007,410,891,405,281,022,528,248,350,681,988,124,
848,305,314,941,837,813,813,420,291,734,105,569,577,156,137,265,160,899,501,
854,640,067,944,737,516,605,152,554,505,122,792,397,201,570,230,983,344,441,
731,994,735,654,149,696,080,314,237,118,213,721,945,990,349,741,409,889,217,
087,448,546,964,292,798,991,571,630,632,928,106,938,776,404,694,574,721,742,
301,879,722,291,338,619,380,047,932,865,089,366,312,610,286,662,333,468,865,
929,230,797,383,495,355,881,571,610,312,936,820,476,274,738,657,513,206,406,
403,075,918,754,447,234,588,133,007,334,398,268,754,453,003,321,249,608,020,
561,060,464,321,372,349,897,897,312,032,751,850,199,753,877,041,613,140,530,
977,349,973,457,723,015,475,616,311,116,024,229,954,842,462,190,089,542,596,
044,138,546,121,419,217,852,750,842,720,926,974,909,047,167,192,537,170,041,
443,224,819,145,948,836,568,665,670,370,277,608,413,957,746,194,142,951,171,
615,242,310,963,603,300,766,262,852,163,755,252,398,748,740,506,034,588,595,
492,147,334,526,769,622,641,891,413,002,755,541,192,863,641,029,557,188,429,
790,506,956,594,597,697,657,674,986,291,735,770,050,960,553,173,376,265,611,
441,306,437,878,646,302,518,080,550,169,700,524,582,258,256,137,829,290,656,
548,754,731,490,488,232,319,323,813,112,486,382,194,534,374,504,013,423,603,
540,426,763,711,741,771,521,812,074,742,160,473,092,492,470,810,008,842,234,
124,658,550,552,618,813,347,690,269,411,718,446,497,061,238,704,641,695,041,
387,300,196,496,923,368,287,688,330,365,945,059,331,013,109,663,394,959,841,
958,620,309,437,488,867,656,390,448,003,756,389,004,770,242,016,733,183,385,
482,777,114,775,138,096,046,210,311,258,426,816,510,396,642,351,220,166,645,
964,918,301,223,420,354,357,306,095,788,763,987,116,755,014,847,551,808,682,
758,966,083,848,550,592,410,532,618,333,780,471,200,426,981,490,163,931,827,
699,929,780,511,100,568,371,342,004,913,605,630,000,957,983,884,440,685,225,
065,484,097,765,963,674,775,061,576,502,975,017,409,226,783,596,667,646,962,
859,014,156,080,505,903,211,411,140,233,365,639,627,455,082,775,856,615,486,
810,523,859,376,558,402,581,499,193,508,603,001,575,824,059,911,457,664,830,
601,318,053,456,201,145,733,104,384,033,976,467,092,414,677,424,565,527,802,
395,441,587,479,790,287,285,463,514,829,993,595,198,108,106,048,442,510,522,
378,565,209,543,867,172,449,054,432,129,877,472,962,127,642,962,632,241,262,
749,180,855,122,609,929,547,392,988,517,748,540,869,787,743,763,382,997,492,
556,894,230,335,345,015,851,002,282,084,545,783,982,584,189,037,915,588,065,
823,678,383,465,394,626,247,660,870,007,620,975,063,069,486,767,313,094,608,
161,703,482,076,279,854,349,265,586,492,278,294,674,635,834,715,972,240,740,
418,239,629,426,111,608,819,467,623,657,160,451,879,968,737,131,392,038,675,
758,218,269,350,387,855,388,990,642,516,408,372,740,768,437,799,639,678,184,
761,475,034,120,064,413,986,162,569,059,128,197,738,463,370,083,609,011,737,
477,741,116,324,481,317,420,132,298,812,787,305,593,546,845,667,415,799,289,
439,193,711,554,350,522,742,928,714,055,701,049,227,001,430,044,352,921,162,
338,443,746,663,384,698,420,656,841,168,022,783,815,073,682,711,175,494,392,
347,234,304,379,288,348,863,219,425,109,525,735,475,461,341,292,420,205,093,
069,113,859,628,482,245,921,121,124,354,433,352,259,115,085,945,800,113,305,
610,437,401,433,911,961,193,464,527,085,224,730,278,406,547,542,630,862,010,
267,892,683,707,319,941,263,997,247,069,564,812,629,128,472,254,925,720,370,
171,381,390,148,440,068,608,873,781,071,941,375,860,772,718,824,347,651,920,
588,275,681,863,479,684,083,630,608,493,857,169,446,910,411,702,653,176,141,
322,875,167,951,995,365,550,789,301,626,798,777,708,272,191,035,642,013,137,
335,506,674,569,270,145,535,726,990,915,642,268,577,546,771,521,224,532,626,
503,515,794,489,577,392,049,478,038,028,470,700,009,278,451,427,166,239,503,
193,189,768,421,820,737,613,224,547,059,442,999,163,887,544,168,197,594,147,
681,970,527,586,212,314,488,977,387,618,654,574,570,354,997,578,016,669,362,
073,297,215,347,396,070,439,290,138,610,223,242,927,151,916,647,260,167,256,
108,161,010,366,585,424,315,871,608,195,632,327,218,843,497,361,917,183,798,
326,770,491,993,311,462,836,552,912,933,336,591,240,397,841,399,576,489,287,
742,428,081,764,958,305,629,534,832,049,686,541,419,087,223,094,929,189,823,
449,490,716,507,400,640,932,737,341,895,438,810,555,120,675,493,629,493,513,
063,162,333,385,584,509,758,116,289,622,573,978,281,223,390,413,467,882,201,
944,665,173,367,286,844,450,268,072,820,520,698,874,054,033,315,063,502,265,
983,963,482,496,699,516,221,922,651,936,020,611,818,935,599,883,839,403,807,
396,583,039,466,834,932,061,767,101,663,935,966,282,507,870,171,986,330,339,
467,563,084,497,664,444,325,988,432,800,481,525,148,192,429,853,579,091,587,
301,234,544,186,572,417,454,574,998,887,696,269,256,623,229,072,332,120,244,
499,091,916,275,276,016,681,363,561,767,829,671,802,062,509,161,099,672,598,
256,589,537,906,871,656,128,592,897,049,255,906,021,629,849,770,580,068,483,
550,258,639,129,772,643,528,668,783,882,579,631,598,148,105,248,748,048,715,
922,868,124,450,756,033,451,745,051,687,029,509,684,116,100,416,096,930,767,
780,548,715,096,786,931,941,692,637,526,319,473,700,995,924,111,172,305,804,
592,394,805,906,007,042,895,205,723,610,458,719,486,846,393,921,287,445,723,
425,061,558,840,943,048,955,251,566,622,298,841,275,549,234,902,765,455,854,
029,896,559,924,566,781,876,535,250,712,590,382,255,910,337,979,345,829,658,
112,182,046,327,742,638,669,579,639,610,566,600,106,461,572,397,666,638,024,
112,266,382,732,255,913,989,315,729,631,399,561,802,308,258,333,875,496,107,
713,759,802,319,348,959,114,018,004,015,585,021,243,392,497,619,391,508,295,
292,168,450,319,980,916,047,612,721,552,470,776,177,057,485,824,172,951,354,
751,962,188,535,419,697,293,669,878,617,181,458,092,408,244,275,960,768,273,
234,282,181,559,201,748,076,674,265,639,487,436,499,437,961,369,948,217,615,
104,086,885,214,836,254,548,667,908,104,701,510,221,814,433,401,143,556,889,
933,119,274,388,633,461,340,100,075,756,516,601,869,022,295,423,996,905,014,
037,108,189,758,191,742,721,562,682,400,301,628,243,999,515,007,340,681,684,
850,181,742,672,703,630,869,427,009,245,210,239,427,606,924,099,598,136,176,
925,478,226,145,976,767,243,334,395,062,233,989,003,911,356,422,465,267,637,
439,618,535,888,609,729,025,763,237,085,778,941,745,567,627,289,712,749,083,
622,313,841,696,400,540,863,370,165,551,354,233,456,827,078,095,549,656,185,
919,146,688,913,758,448,178,229,883,010,173,757,762,555,143,976,825,315,789,
272,969,594,977,771,599,495,166,988,186,354,061,690,318,441,602,739,329,898,
426,557,240,667,821,866,602,949,375,120,064,320,428,144,766,269,024,781,473,
987,355,217,097,839,077,917,955,569,996,945,642,212,787,099,918,497,857,144,
465,576,468,022,832,800,481,422,742,422,524,937,274,752,267,995,437,026,419,
055,359,249,132,505,986,822,524,252,109,628,561,154,650,749,821,705,343,123,
416,574,702,890,087,934,888,515,086,804,165,569,356,638,804,165,283,678,565,
735,094,217,209,106,899,548,574,849,593,980,467,196,176,775,258,471,677,755,
402,502,703,767,213,215,077,227,828,759,042,875,951,450,581,790,948,687,621,
853,541,639,753,572,714,244,761,966,791,032,719,502,707,191,852,985,675,088,
686,326,977,931,351,487,765,495,763,735,717,726,689,106,882,866,384,125,452,
343,591,039,622,778,398,333,526,896,549,350,709,705,795,636,810,468,947,111,
262,974,526,093,099,443,621,451,721,215,662,779,748,829,781,035,340,860,490,
283,718,456,618,309,922,435,738,646,841,736,188,733,797,614,813,729,820,806,
013,047,593,543,444,960,013,225,397,079,365,566,081,868,225,118,912,390,397,
625,325,678,177,927,051,521,919,207,235,155,569,257,362,091,218,579,043,977,
292,444,108,015,522,469,872,559,379,885,332,825,460,912,900,650,639,962,751,
298,672,306,838,626,208,061,874,373,186,545,972,968,555,095,164,374,209,523,
526,092,118,624,285,066,600,506,006,220,894,814,615,192,768,346,269,428,781,
189,626,289,668,342,586,308,767,460,305,157,881,484,486,911,718,928,119,054,
304,466,705,604,508,172,014,565,329,598,255,213,713,646,224,526,455,431,685,
173,055,872,833,676,468,301,093,463,114,126,291,623,792,210,407,931,939,327,
190,905,472,626,810,119,269,662,678,784,735,321,205,478,810,955,013,509,922,
991,055,450,872,583,575,014,821,343,812,969,719,364,503,075,941,302,178,929,
049,234,496,218,780,119,307,015,197,204,916,726,692,669,136,424,052,418,012,
339,400,335,156,671,177,293,078,284,201,840,521,716,056,659,315,348,859,984,
728,098,488,000,154,225,610,633,822,354,268,401,562,782,175,445,301,571,210,
306,324,488,875,276,552,748,544,124,881,032,545,292,500,816,142,265,310,862,
561,656,635,470,708,779,950,933,263,422,476,486,262,998,358,896,754,323,960,
024,549,548,038,829,461,682,928,321,761,132,105,668,649,659,626,637,565,811,
431,816,944,650,014,622,577,629,753,172,128,791,328,736,708,070,146,592,771,
547,179,470,469,722,663,765,271,816,282,109,357,677,081,017,015,247,078,995,
336,948,082,862,575,425,854,740,603,795,791,711,100,481,881,869,495,218,834,
390,632,495,854,208,099,791,086,873,371,203,075,689,073,163,463,717,063,210,
359,274,492,144,812,346,743,737,838,185,200,437,115,230,682,287,832,678,603,
665,442,834,908,785,307,290,319,370,122,364,541,744,612,087,086,801,686,224,
815,355,437,440,183,019,841,390,195,137,204,807,393,008,141,370,156,067,210,
298,326,369,207,702,514,743,547,165,637,675,404,579,132,149,541,367,398,039,
315,827,959,581,966,971,798,579,414,521,530,677,756,033,887,675,046,312,689,
344,745,588,641,743,565,009,380,437,058,211,311,508,240,011,332,910,806,070,
506,688,759,600,702,131,766,220,311,314,407,332,216,356,479,188,835,141,248,
258,540,613,681,619,263,167,727,422,991,437,122,992,880,069,097,026,127,208,
239,229,139,075,563,179,576,748,789,589,761,794,584,023,431,298,700,350,815,
091,201,504,161,945,754,463,419,350,726,968,406,173,391,136,652,799,758,200,
896,120,433,448,477,754,858,879,145,701,311,544,580,089,871,513,297,321,433,
904,278,385,939,360,026,123,717,070,438,142,831,331,087,806,373,854,255,275,
385,191,356,311,496,476,064,381,529,061,714,420,054,495,374,429,498,345,910,
443,330,539,842,438,465,170,634,298,546,425,099,917,341,388,506,834,223,821,
234,328,755,466,030,778,105,817,534,862,519,514,144,095,759,483,019,172,892,
939,068,773,860,035,836,133,456,958,525,910,560,539,693,574,362,685,398,190,
797,055,652,479,942,708,304,858,546,573,582,353,843,553,419,858,414,198,992,
006,859,419,115,174,801,624,946,206,888,785,161,161,186,704,002,553,343,249,
602,707,421,328,668,463,441,375,773,065,817,314,043,052,339,699,829,129,088,
854,059,853,520,476,846,227,554,448,352,470,377,761,959,179,519,662,193,403,
152,493,752,726,884,178,885,139,915,431,069,386,638,372,170,610,079,166,501,
790,131,122,268,200,885,622,785,324,834,502,334,625,116,021,637,367,109,383,
287,969,562,172,203,297,266,219,033,905,744,168,142,486,649,940,623,861,760,
607,371,760,811,163,227,531,445,710,565,421,437,812,512,967,935,339,042,855,
099,331,212,373,272,171,665,764,192,463,809,288,680,199,096,474,653,101,016,
899,766,412,008,222,781,293,374,899,086,540,241,524,715,926,765,220,455,257,
196,604,199,909,813,945,697,731,866,941,624,944,878,327,233,005,068,081,397,
212,895,052,185,948,674,878,232,830,048,080,586,450,622,901,670,544,683,957,
186,411,014,000,506,696,158,703,926,459,323,862,124,184,180,650,818,213,160,
592,069,355,736,586,873,643,965,981,851,811,337,741,470,270,689,038,666,028,
258,262,167,316,809,894,577,259,529,255,858,218,945,394,387,513,136,809,621,
834,231,436,680,715,164,080,263,790,779,474,864,425,371,543,385,079,942,321,
755,189,469,444,562,896,690,669,495,908,744,678,655,226,719,782,433,747,297,
369,354,883,004,170,595,635,846,941,035,182,954,956,739,643,573,365,635,978,
846,370,792,799,343,453,055,366,679,489,398,837,840,119,730,355,456,134,227,
813,337,399,542,923,854,134,936,754,326,368,182,172,844,577,747,149,083,748,
865,398,087,846,694,297,914,342,655,134,107,366,048,053,825,434,372,088,999,
992,934,661,185,674,264,464,583,812,943,987,814,051,994,326,561,662,642,222,
073,044,269,471,014,770,887,449,427,656,855,098,535,207,735,857,736,523,983,
648,283,437,769,197,937,194,848,518,514,816,723,551,323,640,458,630,659,405,
481,165,109,009,751,037,358,922,004,004,274,204,348,226,726,457,227,870,476,
489,895,852,530,904,574,482,370,144,323,135,309,181,039,649,296,962,535,102,
334,612,560,151,313,756,517,986,371,011,177,596,219,270,453,566,016,910,914,
232,545,131,230,668,102,797,689,263,068,474,142,397,306,354,034,214,451,450,
370,526,099,412,113,422,724,481,340,063,464,765,511,132,422,264,055,228,043,
972,076,523,742,503,855,205,053,724,980,503,958,110,653,670,989,405,896,285,
787,440,177,649,778,036,003,720,690,666,690,877,467,778,595,017,354,955,901,
503,318,242,936,324,116,341,591,715,058,153,488,834,704,508,409,249,350,587,
593,653,329,709,521,260,856,216,008,767,097,259,369,429,079,722,249,858,105,
539,748,449,636,509,727,320,540,613,912,184,296,646,972,514,091,179,517,777,
054,708,259,580,222,786,538,615,505,562,788,321,036,197,886,585,576,123,909,
960,125,002,771,166,684,212,446,016,867,601,399,323,348,789,739,359,652,594,
009,045,536,270,755,811,175,972,059,720,913,299,349,266,868,610,390,454,042,
482,152,358,018,513,639,807,920,154,462,244,698,402,780,171,238,329,721,134,
305,444,426,460,144,917,067,177,641,639,991,870,743,849,816,287,443,532,664,
399,112,063,133,407,388,142,640,169,029,364,043,837,745,474,867,651,850,799,
836,687,291,667,412,573,787,235,813,354,679,527,750,641,779,165,344,294,371,
668,695,438,820,790,724,671,533,016,505,261,966,960,861,452,666,200,521,725,
768,470,823,749,655,929,608,782,778,265,210,765,999,985,370,954,291,578,719,
708,869,557,901,045,883,585,428,478,883,949,071,586,919,367,459,079,424,861,
816,758,963,800,788,113,103,593,545,165,041,716,592,664,532,773,166,245,857,
631,353,350,698,277,254,955,062,039,482,992,561,775,626,067,831,422,149,733,
560,425,249,430,131,014,177,649,495,677,031,750,833,852,854,674,436,316,725,
012,112,162,186,681,154,674,195,593,623,756,068,628,281,735,189,835,922,305,
579,317,628,428,691,674,527,088,397,937,766,901,218,361,052,276,699,576,034,
198,611,364,776,918,967,224,808,982,988,314,533,937,938,899,013,038,791,678,
440,811,732,289,692,810,605,935,119,019,551,876,862,013,919,978,590,500,387,
039,223,644,649,726,689,777,814,486,781,056,402,613,357,325,120,086,038,764,
369,350,144,801,227,079,778,535,602,082,471,719,811,701,533,356,116,638,200,
982,502,424,333,735,947,181,080,302,168,383,439,168,418,253,414,055,071,757,
413,755,973,539,267,412,166,286,194,726,710,587,495,564,346,177,367,818,184,
627,152,364,320,139,112,024,142,346,043,461,496,940,233,807,344,712,391,888,
396,658,721,792,055,613,257,284,616,791,405,566,490,565,972,747,112,139,927,
684,980,561,337,861,925,549,498,918,850,885,087,751,422,018,619,717,415,167,
679,670,910,690,729,923,738,787,141,294,425,303,654,941,330,808,735,571,112,
953,675,725,763,870,606,666,478,236,490,915,269,417,594,844,663,497,858,058,
471,911,404,235,811,512,331,058,269,848,185,032,617,204,755,817,715,968,172,
224,590,477,843,241,152,071,816,324,044,442,821,391,958,115,771,017,146,956,
740,264,477,845,031,537,086,149,278,330,209,052,652,973,565,228,238,337,008,
776,681,646,082,068,927,135,239,208,916,866,451,785,727,304,295,733,900,570,
709,465,213,462,152,815,091,877,878,295,440,049,801,562,573,168,071,307,134,
424,066,924,200,315,884,389,329,342,745,891,042,998,043,134,350,525,015,453,
556,353,996,691,624,949,237,468,293,521,522,808,426,276,034,022,822,913,657,
867,396,083,204,315,121,396,934,713,589,186,558,808,036,053,320,794,113,423,
942,015,403,910,275,632,141,211,058,913,706,554,039,177,326,097,905,516,825,
552,772,604,140,019,274,998,673,981,500,679,296,016,708,731,904,341,985,040,
482,360,537,764,618,336,140,912,980,856,457,674,593,636,130,554,183,237,815,
106,608,267,751,880,114,141,887,848,425,993,269,063,176,415,947,265,858,514,
605,940,063,395,179,935,269,412,527,166,238,975,558,465,343,106,462,998,537,
973,079,347,588,761,601,806,735,931,244,197,228,178,170,705,539,764,936,654,
568,397,922,388,522,151,802,998,154,953,998,472,795,645,175,572,206,167,572,
541,805,365,545,477,743,997,101,330,480,308,306,231,505,695,311,909,664,065,
187,941,035,296,018,134,150,600,878,535,574,280,309,080,496,301,782,964,838,
125,863,751,971,104,159,882,292,050,576,265,621,454,255,551,029,083,880,926,
366,571,599,488,002,941,620,917,785,474,657,041,171,039,952,218,618,164,884,
021,088,980,886,160,664,964,673,173,525,320,177,771,706,917,843,960,001,573,
501,199,249,374,675,124,032,804,184,487,159,768,876,710,085,870,911,589,042,
776,551,052,272,959,565,790,039,667,938,421,696,357,114,335,894,359,754,879,
907,790,666,553,771,361,185,846,744,407,418,798,636,860,349,226,481,628,501,
692,059,357,617,784,378,690,476,278,533,732,947,386,755,185,947,665,180,981,
156,285,041,602,934,398,716,362,020,814,806,649,906,967,861,978,945,951,875,
045,470,148,363,884,338,855,823,965,916,400,996,303,888,933,871,081,085,528,
794,221,105,760,179,843,912,295,246,634,127,960,490,283,823,834,134,931,994,
278,428,463,704,887,036,308,747,641,779,906,722,048,151,118,063,646,013,831,
207,006,116,336,254,606,329,365,038,444,749,225,364,835,679,516,683,979,640,
252,467,930,611,523,529,657,258,821,746,642,710,971,886,252,530,860,951,986,
528,288,919,902,460,811,332,332,928,747,539,889,077,134,767,206,826,814,274,
044,700,752,725,161,966,284,153,610,692,276,946,095,523,282,124,889,462,726,
665,109,066,508,265,855,085,306,289,007,071,413,724,236,548,695,692,502,535,
207,536,949,581,748,989,608,528,945,287,754,707,551,509,994,747,776,847,869,
267,094,336,377,632,223,658,035,486,987,451,091,960,143,752,694,979,720,653,
119,935,654,025,469,480,725,106,092,403,293,376,808,005,402,383,796,710,499,
821,970,761,396,953,333,905,036,827,666,522,502,288,579,101,531,901,770,067,
549,003,741,557,610,911,744,799,531,788,591,896,833,685,223,325,115,191,455,
444,267,506,585,978,863,124,629,801,847,961,407,669,424,141,957,903,517,859,
195,565,226,798,611,379,762,700,716,210,831,184,534,222,064,666,280,613,157,
297,780,323,684,186,152,235,873,070,131,567,157,433,480,486,208,304,441,688,
046,402,104,418,751,100,600,517,858,003,169,725,812,401,724,883,188,005,114,
591,813,059,379,642,812,732,483,019,310,290,768,523,435,385,628,652,294,693,
806,713,943,723,472,659,741,357,076,701,371,193,630,182,936,253,373,286,062,
823,647,480,488,007,348,116,588,666,531,553,822,375,336,999,379,487,948,576,
551,166,495,607,660,881,995,780,838,784,894,917,348,007,346,062,043,669,307,
294,281,335,925,316,996,332,231,317,514,188,141,676,437,265,545,130,496,331,
403,701,920,563,730,563,065,857,292,239,758,634,140,233,168,801,858,412,022,
475,012,121,480,319,964,063,019,125,294,306,649,513,116,537,493,931,232,571,
107,286,980,140,621,472,018,523,112,219,948,728,689,117,849,472,926,896,872,
679,997,616,037,956,437,348,974,548,195,517,976,396,854,547,510,261,404,468,
749,036,992,380,031,670,889,738,445,274,049,679,522,097,975,039,364,251,563,
711,520,185,785,816,952,868,413,150,269,180,404,501,318,756,686,813,023,881,
507,797,123,283,571,312,681,337,224,943,056,230,125,838,580,475,944,173,316,
414,798,091,332,524,937,778,770,347,818,458,273,393,288,894,247,136,358,091,
981,117,090,773,020,058,476,084,860,121,013,484,423,563,938,258,616,820,299,
376,588,429,047,001,435,724,343,223,624,241,041,904,697,607,290,871,342,727,
184,428,507,930,012,650,975,383,115,058,155,568,886,098,028,982,574,891,080,
110,668,734,378,677,032,648,837,777,429,031,445,069,716,329,164,374,006,589,
171,062,172,868,148,517,589,408,468,622,728,797,879,112,752,102,760,391,741,
620,089,649,612,837,455,843,050,091,454,045,894,549,855,955,416,914,216,124,
217,450,721,504,469,752,917,266,025,345,708,085,211,668,150,765,016,873,714,
609,949,669,841,826,667,694,213,828,815,628,036,238,574,590,509,864,999,097,
813,923,025,637,260,678,471,179,857,610,380,920,883,987,669,292,689,188,985,
825,491,905,416,958,036,836,704,160,275,823,735,282,076,869,080,056,726,656,
126,321,554,473,208,750,629,804,988,309,665,177,600,719,991,847,395,087,158,
233,692,045,450,621,071,176,262,959,154,921,214,312,059,723,266,335,812,040,
918,477,915,347,349,321,365,099,410,857,832,211,386,342,968,906,918,635,954,
549,356,600,003,987,435,204,769,261,445,903,941,729,470,745,835,991,633,838,
789,273,332,292,927,752,214,932,863,559,466,270,391,674,021,492,901,892,147,
631,255,566,195,652,366,015,711,450,341,553,871,786,929,329,238,927,732,878,
998,906,685,093,402,400,292,801,980,146,888,150,392,397,750,421,553,687,700,
007,712,570,323,795,717,729,734,614,735,754,770,613,570,300,558,808,954,913,
967,008,753,258,163,390,713,064,194,888,716,881,124,216,360,470,051,850,441,
449,247,265,693,924,469,155,279,935,098,507,706,252,875,203,037,907,434,903,
264,122,663,701,831,406,394,294,712,268,252,875,816,418,393,501,170,625,641,
768,273,680,152,766,898,391,738,946,104,340,265,659,458,687,939,694,020,610,
490,854,640,277,108,994,648,202,138,239,360,047,010,229,553,327,195,334,726,
229,669,158,991,143,562,324,320,204,874,591,273,228,073,756,275,761,859,323,
368,578,614,832,440,973,697,078,574,912,175,823,617,535,343,583,501,647,436,
675,861,520,353,929,081,285,584,384,615,663,139,274,075,271,202,102,158,799,
341,321,490,502,625,070,601,843,867,926,307,507,279,060,068,760,935,809,452,
768,153,084,119,607,027,554,633,249,678,638,988,913,527,129,782,495,438,102,
108,729,729,181,096,156,823,664,904,904,898,775,060,844,658,559,471,805,423,
919,238,121,595,843,093,502,260,686,496,847,541,415,897,178,505,720,179,716,
996,346,049,792,068,287,405,512,863,903,107,207,290,524,275,255,401,692,683,
965,195,061,475,444,368,667,323,149,686,900,522,739,339,026,131,921,703,938,
828,828,791,731,694,313,162,911,185,019,083,817,245,008,772,640,613,634,120,
908,407,944,602,738,484,507,808,714,417,954,054,582,676,060,063,604,438,434,
878,613,317,420,519,654,080,549,083,456,746,158,279,405,172,088,658,706,270,
807,528,025,825,273,587,585,590,326,386,241,446,441,169,560,762,942,405,783,
349,774,450,994,683,850,551,572,284,340,844,851,972,493,035,149,843,692,639,
429,421,127,278,274,451,894,615,158,559,521,487,028,781,750,044,751,154,347,
797,301,318,883,109,306,480,337,599,313,395,524,714,222,301,123,576,586,964,
691,863,102,677,710,386,196,545,034,693,350,531,350,425,394,515,149,230,161,
321,016,343,304,978,119,450,182,184,148,370,987,595,462,557,591,734,463,488,
618,532,006,757,367,570,208,321,744,495,610,424,104,188,792,475,885,921,162,
881,390,297,631,760,834,198,160,731,997,092,961,333,319,466,435,108,698,332,
497,262,666,355,553,988,118,072,358,754,830,781,145,457,773,780,855,976,869,
737,405,516,741,085,960,691,516,745,359,641,354,932,323,357,579,190,213,778,
062,526,416,502,946,949,258,805,395,099,230,582,208,307,583,991,501,198,130,
333,118,616,577,445,960,466,325,251,493,828,286,554,728,876,867,257,420,182,
203,916,555,126,121,727,467,716,747,452,462,955,341,808,175,715,369,895,730,
133,777,596,307,044,138,865,207,187,000,324,279,489,364,170,335,666,790,750,
111,631,879,556,653,761,488,878,515,519,662,733,752,065,289,289,852,160,445,
482,260,531,850,101,029,839,215,301,788,032,910,439,409,016,499,986,794,626,
394,183,498,650,846,966,038,077,284,775,573,838,099,082,216,245,994,274,672,
856,286,655,555,711,689,282,730,155,037,441,983,629,604,914,990,594,775,572,
487,948,120,401,092,206,525,941,993,151,960,619,705,020,532,136,712,103,396,
414,451,863,029,505,495,344,848,784,376,861,076,281,327,923,754,570,695,446,
199,409,528,942,740,890,506,523,373,342,715,152,487,813,932,598,438,474,628,
532,934,885,920,495,738,957,507,993,805,928,110,437,888,450,841,021,413,846,
439,853,793,921,980,219,810,449,761,331,191,738,824,836,198,361,075,797,774,
022,764,531,380,697,652,959,867,081,885,292,408,201,557,381,525,069,286,894,
950,860,859,306,123,520,796,898,086,858,287,351,855,368,074,047,013,102,717,
949,224,197,170,993,634,085,879,381,009,556,858,913,993,555,703,429,620,042,
713,543,572,913,142,153,618,703,600,887,990,847,989,644,950,339,412,052,885,
221,694,363,816,269,409,505,491,949,137,593,154,196,482,695,613,367,459,663,
109,165,687,374,287,183,381,627,461,746,787,459,165,115,415,727,113,098,585,
045,428,894,723,259,091,487,411,567,038,277,823,363,416,390,171,506,379,810,
163,234,228,467,947,011,923,185,947,289,264,558,980,933,402,287,393,248,791,
915,635,499,471,969,935,049,774,639,873,461,314,050,738,605,159,188,285,879,
758,517,924,734,479,171,604,112,983,281,224,042,727,403,979,359,405,402,058,
551,387,112,489,927,675,033,611,709,909,996,467,657,930,061,718,033,902,886,
967,666,884,934,009,583,023,040,199,632,758,429,935,935,216,165,039,927,137,
250,856,100,187,859,668,478,808,960,252,687,349,878,243,790,857,312,637,535,
314,755,820,698,788,437,956,113,654,517,415,314,312,149,408,776,945,480,292,
297,972,540,523,840,620,630,883,730,432,342,232,118,823,312,628,834,913,767,
613,224,110,993,660,631,402,157,248,799,193,374,378,581,241,970,056,948,137,
042,865,932,730,211,870,240,266,834,302,139,739,517,588,646,001,628,671,061,
833,359,844,578,281,006,194,345,505,025,130,690,047,054,100,566,721,453,397,
962,183,894,257,231,178,969,241,667,784,994,738,209,072,005,228,076,455,159,
596,226,546,169,692,032,739,885,571,203,488,077,803,229,250,665,817,387,385,
013,749,709,246,475,766,711,106,098,874,053,871,302,989,560,865,626,720,530,
207,996,876,195,258,064,808,120,943,495,902,108,951,843,091,920,030,858,440,
339,787,342,519,025,184,777,425,004,666,313,937,490,885,684,199,729,483,142,
422,863,103,707,065,774,239,195,150,320,738,923,897,722,390,429,657,629,586,
917,103,632,579,010,486,983,801,121,960,812,755,360,405,878,451,962,439,868,
215,977,394,477,687,972,886,705,526,278,371,882,434,068,714,966,381,785,623,
026,530,641,648,220,655,406,151,849,748,723,788,339,715,004,204,031,828,193,
219,026,347,428,974,351,689,325,983,672,985,046,970,173,156,314,857,938,006,
432,555,866,778,791,813,570,457,263,389,013,761,183,543,036,099,698,259,733,
198,406,945,697,425,280,388,322,153,676,668,184,904,536,328,940,923,654,501,
978,038,013,479,193,298,970,168,333,623,534,105,115,041,400,903,571,104,526,
635,622,409,116,850,360,040,310,461,149,712,306,598,704,339,552,778,371,306,
379,994,170,031,933,822,156,643,328,889,480,863,140,430,822,797,695,275,490,
726,713,230,576,467,879,644,083,504,964,682,123,350,482,182,224,751,580,213,
885,176,923,071,261,689,410,947,943,912,328,787,901,506,120,454,973,196,474,
796,021,968,907,403,808,253,572,523,677,958,408,469,221,135,848,466,604,285,
112,768,949,814,625,212,604,582,896,818,828,175,109,707,754,489,024,513,972,
109,889,716,977,793,347,761,747,903,107,765,757,218,100,748,772,768,928,328,
917,335,630,498,717,865,549,779,134,173,370,211,351,953,872,878,743,228,613,
867,458,837,822,993,767,938,506,512,471,281,755,049,552,985,086,510,918,071,
976,339,358,899,312,533,802,691,859,745,885,277,143,458,437,778,594,184,187,
383,310,635,402,865,646,533,856,538,640,219,713,874,677,583,790,570,849,889,
385,471,159,868,990,805,666,009,534,601,166,882,432,527,586,267,532,604,162,
151,943,999,254,735,180,841,040,070,003,408,433,551,964,284,183,253,510,976,
924,789,811,323,181,354,140,168,676,602,228,281,428,646,420,248,519,452,937,
858,884,949,995,105,034,638,215,891,623,583,913,076,941,049,754,545,624,416,
479,939,106,411,264,891,090,272,706,573,613,321,392,727,702,933,384,995,765,
714,052,496,140,011,573,652,729,317,529,854,212,429,607,377,444,305,463,343,
603,785,478,765,523,814,845,805,113,976,815,994,201,349,437,666,261,256,466,
879,748,265,463,504,948,005,580,574,171,076,941,592,043,772,202,002,952,039,
899,742,459,103,765,402,465,237,206,713,673,938,807,393,797,048,076,893,329,
756,561,509,069,348,683,692,034,440,559,716,113,855,021,231,483,134,088,503,
806,896,750,602,512,703,765,735,204,233,787,433,345,753,170,322,268,744,690,
474,694,408,259,545,494,256,027,838,415,917,966,291,825,446,822,205,462,584,
588,419,367,521,274,832,380,985,040,967,989,541,739,153,328,085,460,320,660,
891,602,720,877,291,003,633,617,095,818,023,322,620,824,382,488,076,018,593,
529,126,128,581,874,220,698,052,061,120,500,429,076,029,700,547,738,197,266,
368,772,953,261,048,271,543,734,510,455,848,401,798,150,200,452,865,752,758,
981,211,173,995,804,989,685,653,515,501,822,423,311,599,354,012,776,479,217,
514,862,585,249,417,340,543,563,177,907,515,430,991,970,339,191,674,152,890,
255,334,492,875,588,427,757,894,522,991,859,427,225,669,561,903,236,272,842,
366,219,396,468,338,477,761,993,102,289,707,174,953,332,316,962,483,737,767,
645,194,553,791,768,074,753,772,456,928,335,875,318,029,185,846,081,322,256,
052,004,430,326,829,570,847,151,367,678,391,821,964,425,780,579,477,039,833,
728,825,589,765,115,997,641,042,779,804,329,745,860,417,266,010,848,783,843,
943,111,975,822,966,399,185,715,703,084,422,114,733,650,629,849,045,359,477,
866,455,240,451,493,583,546,823,186,101,451,032,446,489,235,738,003,627,797,
074,227,976,284,780,968,633,259,803,195,446,412,177,586,224,877,253,568,683,
877,566,415,109,029,097,654,945,071,278,813,225,244,070,098,452,793,897,014,
788,661,901,655,061,486,061,610,953,053,314,261,655,468,901,289,306,360,188,
851,388,046,059,872,737,082,460,489,716,029,071,370,045,782,912,335,186,247,
768,961,060,524,693,497,310,957,162,963,356,937,084,510,596,224,585,122,679,
150,480,036,547,721,966,858,552,971,253,767,513,473,350,518,992,712,525,425,
155,304,324,890,537,672,123,075,024,108,427,496,314,266,474,627,063,676,807,
684,435,231,519,383,818,140,326,796,621,107,067,599,088,544,825,278,617,294,
850,149,929,827,707,496,264,366,836,547,519,240,506,274,858,693,723,878,172,
574,960,335,379,649,612,557,264,545,312,787,283,905,001,517,911,992,817,003,
759,911,072,022,270,311,819,292,818,365,312,487,889,288,849,063,163,733,667,
200,765,274,070,756,800,870,605,249,612,476,852,719,567,326,615,688,168,038,
988,580,809,339,175,188,237,914,340,603,617,761,324,302,938,666,562,790,223,
996,902,645,169,336,093,468,582,990,603,812,338,176,771,133,443,881,960,990,
362,621,880,062,744,629,321,516,390,003,941,321,352,939,882,433,967,660,278,
958,509,414,784,629,174,322,063,343,050,796,726,566,465,661,342,130,618,717,
680,258,702,337,257,360,570,819,964,232,981,004,509,379,759,264,011,238,377,
871,532,624,357,148,314,797,884,344,749,109,752,350,760,062,124,927,570,971,
427,967,092,769,066,841,797,680,159,700,184,394,824,988,674,362,980,659,108,
281,696,685,562,343,354,061,511,160,437,517,988,863,730,953,240,614,120,347,
239,567,163,134,635,687,121,283,139,628,396,666,065,334,978,555,011,005,264,
375,893,769,249,330,951,090,779,125,256,065,817,949,345,551,990,796,200,732,
627,388,634,599,660,129,584,523,552,107,848,357,296,704,575,471,611,925,950,
713,006,469,809,160,065,280,195,360,925,580,271,395,574,929,827,280,751,748,
685,438,774,363,886,634,978,627,938,799,102,666,685,013,313,061,234,884,980,
821,164,219,918,515,294,362,066,220,760,266,337,223,732,050,919,656,564,866,
302,952,152,487,565,028,500,212,954,304,924,777,197,770,503,707,859,649,766,
899,779,037,664,072,834,588,544,958,808,959,379,142,823,201,313,077,845,783,
531,399,236,992,861,726,030,012,201,604,713,513,187,218,454,125,972,478,766,
922,414,734,164,592,728,736,404,921,344,824,361,729,283,400,034,788,181,588,
783,707,645,338,443,731,386,577,384,476,702,068,138,940,205,459,319,108,927,
092,486,297,542,417,908,476,057,094,559,980,320,565,892,867,612,916,796,893,
408,241,198,985,798,911,658,271,167,000,091,494,385,572,915,982,113,337,725,
199,213,860,974,758,954,676,257,819,096,735,254,374,464,639,140,995,852,183,
114,843,048,753,825,756,903,376,080,541,554,814,499,931,485,121,429,977,105,
608,308,924,490,097,812,329,029,492,947,191,767,307,742,369,772,072,522,263,
898,767,854,584,802,070,398,491,932,175,045,252,304,155,729,870,753,882,828,
452,173,759,532,429,979,871,240,333,749,026,140,696,119,534,246,526,770,214,
280,151,679,740,912,836,137,977,282,037,467,907,201,860,181,189,664,680,330,
330,519,434,765,306,162,977,923,444,504,010,227,430,718,044,966,412,186,696,
933,247,447,748,510,173,006,668,134,012,280,843,797,769,989,862,976,083,122,
782,317,893,992,003,006,571,590,413,958,150,271,308,755,237,484,956,558,293,
854,727,160,714,074,332,904,826,156,439,654,532,091,945,815,892,751,644,785,
394,600,917,998,547,853,672,315,009,533,855,702,071,386,125,748,999,835,573,
141,825,361,122,044,762,082,776,681,199,573,934,668,691,372,514,625,039,881,
323,374,136,904,666,456,587,451,221,641,350,580,573,476,523,082,127,560,808,
198,005,523,994,307,071,315,647,675,042,239,087,219,378,565,276,962,214,556,
876,384,081,315,159,122,335,531,488,317,256,216,326,945,261,939,338,282,425,
984,864,506,934,933,582,296,942,233,887,750,739,336,179,986,891,691,250,545,
870,193,869,431,800,310,908,206,486,588,455,437,721,631,048,460,512,001,945,
365,191,067,448,175,715,398,301,528,473,012,850,216,797,889,919,526,677,274,
998,563,334,529,011,847,740,667,268,633,204,485,973,865,956,993,694,525,498,
038,508,675,799,530,766,307,802,214,292,103,097,792,287,475,520,811,319,632,
417,968,696,159,572,966,991,312,123,184,905,912,708,514,964,486,450,863,837,
824,066,593,872,814,603,051,230,781,629,958,541,532,416,194,455,437,210,735,
742,378,995,748,136,355,807,946,029,279,265,534,927,363,062,366,142,515,162,
911,219,272,368,278,972,965,791,966,920,739,349,293,135,968,999,271,406,974,
166,672,301,709,614,166,974,253,662,330,976,768,591,254,655,418,867,111,586,
752,476,003,297,885,879,482,141,067,259,817,430,872,170,432,541,487,199,847,
099,242,206,738,207,631,157,176,916,826,282,539,174,834,417,680,272,809,881,
752,468,937,049,669,970,269,385,591,232,883,296,775,557,299,137,021,143,463,
451,829,055,192,411,106,400,775,418,758,198,947,562,282,057,864,852,956,474,
245,883,735,324,453,089,185,643,663,073,481,456,467,396,717,712,275,658,878,
065,921,117,781,535,112,523,876,221,739,746,309,389,773,478,848,362,796,840,
826,115,833,297,570,835,298,991,502,560,286,161,415,752,118,409,957,244,766,
617,817,421,688,249,444,194,134,168,311,038,527,103,298,088,601,654,076,680,
305,517,923,944,875,828,611,113,120,012,065,423,047,597,436,082,594,244,765,
069,920,081,364,547,337,812,237,998,372,434,282,069,105,333,012,858,265,994,
962,106,731,302,650,283,163,927,807,682,247,758,716,298,536,827,379,785,189,
910,040,050,474,893,018,541,101,105,055,115,524,352,024,845,302,198,687,746,
463,594,346,399,364,167,358,123,364,289,036,847,270,742,465,199,118,168,054,
155,875,454,338,560,796,893,778,789,917,364,862,585,117,892,940,711,194,438,
650,880,961,996,725,233,390,026,701,122,590,870,327,432,002,625,361,696,621,
245,353,944,167,087,032,566,348,767,482,008,001,042,575,272,199,844,461,398,
402,075,930,948,484,971,815,351,832,645,303,193,580,734,358,720,188,783,516,
161,977,637,712,899,472,824,797,517,464,976,955,586,592,962,245,784,735,985,
276,608,410,275,759,629,947,503,808,080,560,732,551,971,504,990,845,372,791,
149,162,489,906,142,408,106,459,673,558,534,835,859,339,582,045,265,675,763,
938,861,483,046,986,086,799,064,523,589,703,685,090,811,874,921,305,911,120,
720,403,392,918,485,413,923,526,622,139,352,507,298,841,230,552,692,477,167,
629,141,934,891,293,584,125,918,362,132,323,382,048,271,426,857,133,706,745,
520,220,309,938,022,292,048,897,611,661,634,871,076,311,126,490,388,507,194,
304,683,535,023,431,844,633,119,376,942,202,236,989,757,642,496,021,764,772,
922,075,702,301,841,794,761,464,838,176,066,478,813,400,539,719,733,821,883,
717,253,074,854,995,751,998,581,816,922,945,965,871,139,420,460,529,971,769,
139,391,205,799,750,205,824,369,044,856,309,549,854,786,668,510,329,541,346,
559,552,871,025,462,116,599,168,651,146,155,210,483,717,429,635,006,136,232,
735,991,636,549,107,281,139,311,186,925,045,710,762,771,659,920,315,262,028,
534,517,431,484,956,617,162,050,720,521,913,105,074,512,961,593,120,787,750,
554,063,658,309,403,936,518,664,080,090,863,413,327,708,483,806,257,296,351,
208,635,869,656,138,171,447,974,631,212,811,125,027,687,429,066,262,919,280,
355,718,758,305,890,685,549,905,247,094,855,681,101,899,164,378,182,045,514,
866,949,460,678,047,133,160,452,726,182,605,146,415,022,751,510,229,648,914,
055,689,718,116,189,330,007,690,692,206,416,728,668,987,320,959,642,589,164,
392,333,807,069,956,296,042,405,687,195,732,950,968,894,604,671,358,319,670,
442,431,739,835,426,477,046,908,870,224,305,909,733,080,888,460,102,364,661,
566,248,012,524,805,570,352,244,846,563,927,326,185,223,937,299,512,298,720,
181,239,857,251,626,548,469,205,935,468,767,282,457,679,775,045,257,861,807,
721,590,397,069,057,511,444,744,127,943,931,746,023,095,362,571,492,394,353,
594,321,567,734,463,379,382,316,677,444,838,334,032,569,051,230,830,654,706,
170,297,480,253,228,761,268,715,096,715,305,039,833,200,418,781,404,148,338,
495,265,935,604,221,217,028,049,047,508,971,330,273,831,510,980,200,293,819,
383,626,617,484,611,172,760,376,530,582,775,904,014,734,000,032,284,973,453,
132,506,151,740,419,524,777,458,483,720,120,791,062,147,378,477,997,881,326,
405,180,557,743,046,000,198,487,375,060,780,389,283,700,379,225,603,104,763,
562,385,568,423,262,140,391,266,483,423,379,120,844,472,983,468,854,437,542,
134,872,692,354,121,790,492,382,737,972,049,367,898,577,964,127,961,258,331,
224,167,329,487,521,790,874,561,884,288,825,780,567,460,940,710,496,399,172,
407,460,353,746,167,124,609,798,204,820,834,441,428,026,940,481,163,862,110,
150,450,338,745,659,408,862,963,856,346,175,704,343,817,928,648,097,941,745,
431,461,924,340,326,453,901,820,404,717,229,910,712,097,995,608,114,259,606,
307,779,088,049,858,242,036,128,371,423,801,882,463,584,645,611,476,270,414,
814,267,201,073,491,748,875,583,570,871,964,009,582,397,381,954,326,776,097,
562,161,045,279,608,077,827,159,633,345,944,655,467,326,562,603,905,909,625,
600,253,011,172,876,550,309,306,326,429,777,060,091,379,641,792,589,513,696,
096,586,096,711,976,945,553,198,592,571,595,084,637,472,225,503,221,560,112,
192,257,005,377,753,709,124,183,243,837,878,685,216,996,679,713,134,095,460,
977,971,990,335,736,986,096,905,403,536,825,766,098,074,366,319,429,436,091,
676,330,706,384,187,444,348,672,641,024,362,083,922,314,141,246,674,445,902,
895,527,981,072,189,338,964,100,002,357,754,333,331,132,383,716,567,327,141,
931,087,020,027,413,263,122,451,343,479,632,329,199,837,757,008,399,466,446,
824,721,604,006,465,145,921,752,417,607,069,690,444,978,358,870,991,343,850,
754,202,209,917,372,096,423,139,406,134,424,392,669,369,751,667,945,824,549,
682,141,153,483,438,436,923,509,032,273,333,734,783,936,118,542,015,126,235,
029,538,638,851,331,165,463,633,205,551,795,998,755,841,983,867,748,800,334,
547,801,062,349,686,395,034,400,813,806,393,590,781,319,892,507,178,861,241,
160,128,092,674,972,553,869,709,360,802,982,790,184,424,510,261,591,808,287,
325,267,587,833,904,143,981,048,428,285,270,064,865,671,085,150,391,169,582,
945,901,580,408,136,061,706,177,596,043,833,808,624,603,593,527,634,648,556,
230,369,065,238,987,370,839,867,259,242,863,657,546,785,517,049,557,772,657,
730,884,982,667,495,034,617,736,693,788,984,309,964,861,324,246,198,005,714,
439,091,295,422,261,047,331,288,378,281,465,481,726,270,005,807,809,438,865,
719,145,108,761,186,108,642,833,422,010,756,066,818,051,384,982,183,349,935,
754,701,451,629,519,191,328,898,335,540,098,541,514,498,824,299,713,875,841,
433,599,321,255,772,231,663,597,765,163,605,834,823,016,736,612,608,004,285,
237,611,469,601,002,874,682,510,745,336,151,264,056,373,506,843,307,342,344,
637,394,738,513,600,174,765,510,407,208,567,259,416,389,840,076,956,314,502,
522,737,967,012,709,273,992,628,315,101,587,339,255,986,588,921,177,890,785,
356,528,615,998,431,209,969,726,266,895,222,745,785,811,374,222,020,355,164,
220,443,119,341,288,065,989,933,492,221,509,711,248,847,024,236,065,716,794,
887,277,028,412,318,077,123,715,788,473,150,110,255,037,744,190,343,171,041,
809,612,489,277,068,409,894,311,611,198,847,207,421,356,539,743,933,213,905,
543,108,746,535,132,659,341,370,038,257,146,016,397,224,545,746,876,818,192,
155,104,841,351,516,813,077,042,014,663,505,789,100,629,836,689,171,967,052,
131,837,834,255,686,582,409,203,701,134,082,892,030,122,183,221,205,476,478,
208,996,387,114,231,827,385,095,649,301,983,551,268,882,567,009,685,234,897,
354,896,835,853,416,063,827,740,644,935,230,766,420,580,359,601,619,723,833,
355,775,789,928,042,119,793,267,487,759,704,468,050,243,578,559,051,445,320,
704,564,117,985,239,292,461,975,565,849,610,226,150,596,820,959,673,080,145,
960,710,641,571,820,074,331,811,973,537,223,028,822,583,679,394,753,551,883,
493,919,317,182,046,803,297,211,771,311,543,112,366,780,898,383,874,370,789,
398,300,238,849,715,900,201,354,134,697,102,818,274,915,068,983,688,155,969,
045,008,181,464,106,646,102,553,407,377,899,519,469,833,944,915,344,884,039,
524,472,480,796,883,120,960,150,663,991,433,246,895,778,804,128,064,995,612,
200,179,508,300,183,599,695,825,646,483,404,948,141,345,503,471,231,889,875,
879,757,608,460,845,780,676,112,233,446,732,761,664,477,244,414,032,682,028,
171,762,760,547,824,298,273,222,625,458,491,883,996,946,896,565,641,241,710,
474,568,716,001,000,833,939,715,392,853,167,588,488,753,000,705,251,716,554,
405,498,649,767,717,695,945,429,146,340,560,880,313,056,206,462,821,049,837,
407,781,817,403,328,205,837,345,595,115,322,708,910,111,761,288,799,826,388,
748,226,758,659,160,594,653,332,785,899,243,952,359,708,980,490,108,941,124,
670,217,122,586,504,356,186,401,832,801,863,825,076,477,124,980,613,973,197,
953,347,993,172,835,084,485,051,276,182,144,854,732,985,433,581,246,282,239,
984,941,453,390,682,592,018,074,636,241,562,541,153,864,465,838,207,435,724,
802,300,246,403,721,553,473,078,387,700,067,571,727,059,727,296,780,202,116,
402,235,330,628,141,453,047,587,035,943,805,571,059,716,546,010,789,459,389,
153,620,826,079,158,295,032,999,125,441,663,014,396,567,442,428,925,061,309,
171,232,641,846,544,825,452,634,965,708,617,457,000,259,943,023,066,354,709,
898,020,008,956,022,961,989,615,446,938,617,070,639,786,142,669,062,343,390,
744,302,080,613,126,450,006,846,433,305,880,147,976,830,502,190,686,288,601,
390,939,703,227,151,409,381,681,139,542,452,538,971,278,736,270,365,399,328,
134,792,684,266,093,859,359,900,819,608,280,887,982,035,884,977,971,274,176,
498,677,147,568,970,666,798,373,028,736,092,186,833,766,923,981,346,439,871,
704,973,201,964,474,253,634,953,331,640,760,775,430,501,218,586,049,369,171,
660,623,621,472,231,785,278,651,833,390,024,835,624,138,724,503,818,345,680,
030,394,037,248,042,173,299,146,840,361,017,521,959,754,162,322,913,117,089,
975,803,570,027,268,479,175,004,067,910,197,093,645,450,715,252,936,247,370,
995,165,663,086,074,414,379,363,714,453,801,971,208,177,111,217,979,181,396,
865,522,203,963,852,726,844,304,552,068,149,660,490,151,465,735,562,186,593,
724,586,873,470,306,410,930,150,488,137,488,715,218,676,774,075,647,012,378,
108,022,927,372,507,351,075,279,322,252,181,852,638,799,551,315,465,260,428,
366,876,638,271,938,747,043,002,630,830,982,252,824,021,595,428,798,880,138,
625,803,131,054,070,322,889,281,476,287,215,207,311,746,273,066,857,169,642,
574,406,927,785,233,618,860,391,258,384,508,774,393,293,867,023,739,558,936,
442,269,043,514,629,448,881,213,408,904,772,422,212,080,960,606,970,587,529,
242,255,183,976,231,429,204,174,644,185,038,645,063,678,673,707,152,578,910,
470,718,048,821,299,059,479,394,794,569,872,675,761,517,616,347,059,397,328,
963,484,429,142,403,440,803,923,608,657,578,057,918,118,114,428,200,301,628,
857,001,661,649,895,096,429,133,322,950,790,498,747,010,357,886,619,336,255,
113,476,707,370,983,866,749,205,726,270,632,690,219,189,209,328,038,233,190,
973,378,125,564,036,432,397,502,828,932,175,772,714,282,967,608,673,283,857,
297,492,945,388,222,448,545,836,426,776,901,036,576,474,014,520,020,753,938,
497,271,662,913,288,192,587,393,849,759,891,676,448,206,095,508,421,718,213,
175,013,922,850,483,115,282,827,244,255,391,742,041,197,383,026,081,548,373,
811,064,263,619,817,658,388,116,403,434,585,073,159,012,067,657,488,532,406,
753,911,337,405,312,899,023,763,222,740,968,170,413,560,061,321,181,401,688,
698,512,922,001,067,534,627,161,987,968,108,632,378,592,362,497,358,712,854,
991,822,597,846,478,450,775,275,912,876,606,019,364,257,642,974,208,465,025,
572,044,230,441,322,862,142,149,838,707,879,715,072,112,448,947,261,029,396,
262,404,765,522,652,420,321,936,586,939,205,103,441,520,359,928,429,340,359,
601,372,935,316,128,885,916,684,356,957,337,539,284,855,964,658,886,174,239,
162,901,737,154,507,490,232,860,786,562,702,818,576,991,883,416,099,961,682,
333,396,567,663,238,237,037,761,638,093,158,591,733,943,421,786,768,105,181,
845,181,453,954,967,981,934,442,248,086,836,459,407,103,722,637,290,961,095,
681,623,050,244,262,647,489,408,437,216,132,148,602,502,617,972,537,726,756,
146,261,614,648,103,138,673,541,529,443,148,688,017,967,128,080,405,812,365,
350,726,713,706,351,691,808,585,872,550,775,797,817,787,558,083,519,894,670,
836,589,698,617,415,993,642,400,525,077,683,154,010,943,559,929,366,445,954,
684,212,223,312,738,609,781,913,294,089,699,708,908,341,810,001,211,979,366,
008,498,139,060,206,666,603,424,942,639,510,920,466,463,517,050,057,545,442,
450,895,121,345,884,886,373,455,862,343,310,006,715,209,897,418,790,154,080,
780,970,451,322,723,680,792,062,574,869,234,988,679,474,739,228,320,596,471,
201,546,792,558,319,781,217,030,457,696,796,050,311,163,169,086,335,918,872,
282,861,144,190,951,247,424,969,663,567,329,742,908,322,785,158,638,476,295,
979,094,729,102,620,729,120,108,130,312,702,970,711,094,411,649,513,178,227,
309,137,268,048,597,115,120,987,350,683,743,907,115,948,715,824,418,289,598,
080,625,441,933,654,361,192,116,855,471,006,502,606,654,409,975,351,331,659,
157,597,356,504,198,111,650,773,481,038,058,980,104,427,221,225,382,108,681,
762,981,288,302,736,382,118,567,378,943,598,540,001,876,589,437,081,154,072,
631,774,852,794,204,014,097,106,440,236,008,401,235,476,459,674,794,013,985,
069,185,538,435,408,733,237,113,830,131,697,909,316,820,285,225,702,642,254,
008,385,801,096,275,632,788,343,610,553,701,380,967,258,806,908,296,690,319,
654,770,007,444,276,967,695,058,663,005,782,357,566,708,385,695,188,050,467,
472,949,860,784,787,567,942,981,303,474,778,765,658,206,203,879,291,630,490,
545,968,940,349,822,857,584,711,353,628,150,902,629,065,332,457,302,660,553,
562,842,464,927,301,889,838,678,521,832,753,459,637,634,651,023,326,379,745,
988,523,292,664,207,481,203,440,943,144,618,596,692,072,520,831,104,393,440,
379,643,337,577,878,378,015,254,826,754,892,319,883,999,962,984,793,021,005,
789,495,102,347,211,098,431,320,710,497,080,479,536,417,054,405,854,045,936,
876,988,619,632,804,859,132,831,168,370,758,729,484,988,986,609,374,854,358,
655,829,968,627,002,173,559,358,367,510,057,756,662,751,694,755,718,898,078,
968,724,113,883,556,683,689,259,731,055,395,858,736,855,903,716,305,221,457,
210,531,192,228,437,839,759,991,499,570,611,452,877,067,531,649,156,052,631,
753,227,160,033,747,875,018,206,119,221,761,490,701,144,459,994,273,121,510,
885,948,140,024,481,789,404,076,415,321,924,034,431,269,546,173,406,475,880,
103,840,316,554,771,289,488,065,402,597,539,307,943,103,607,188,325,207,634,
924,300,846,735,278,517,349,469,148,328,665,780,966,034,457,094,199,472,887,
317,859,168,995,044,976,556,969,517,195,898,270,846,487,986,815,697,775,956,
601,860,331,474,898,508,406,242,919,021,631,390,720,435,400,855,764,164,785,
271,239,521,957,282,111,806,500,532,407,523,622,185,820,168,078,329,901,707,
756,120,460,996,490,562,185,250,300,242,248,888,625,621,619,245,481,507,461,
366,935,243,022,832,738,209,622,944,259,245,452,466,858,985,572,149,152,775,
876,957,914,405,673,119,063,827,106,660,505,973,593,458,621,343,444,381,358,
261,645,662,154,217,917,821,553,822,801,281,243,191,421,985,354,148,870,238,
392,082,449,297,650,528,974,735,077,923,869,723,184,752,083,365,663,658,787,
761,254,362,450,411,935,001,728,342,912,847,831,123,159,827,334,901,598,119,
459,527,867,761,981,874,420,643,515,330,952,776,071,383,634,258,242,249,218,
767,988,728,114,368,838,036,652,746,940,079,802,133,619,283,444,844,381,870,
374,951,952,072,527,656,194,572,340,326,303,814,742,361,699,220,932,647,789,
418,719,742,188,086,283,499,461,518,806,987,664,323,446,008,426,402,805,280,
839,349,472,485,752,916,626,412,495,913,266,279,471,143,418,170,070,302,265,
262,263,571,721,384,530,764,376,021,189,313,844,036,509,943,639,351,708,644,
139,192,625,515,768,122,303,282,612,379,697,392,418,040,294,501,259,404,740,
995,433,470,108,412,086,321,906,099,213,160,699,868,313,888,501,752,542,102,
014,076,517,280,183,143,306,632,323,238,565,449,544,739,164,852,641,959,494,
434,758,293,587,886,651,287,129,256,658,805,028,193,900,148,433,573,976,735,
086,835,114,814,842,054,137,662,040,888,475,911,905,937,072,268,730,029,148,
427,322,128,681,587,148,361,647,703,608,111,127,315,409,216,985,885,932,387,
065,009,924,122,508,132,118,899,924,792,633,698,658,579,249,673,280,191,223,
779,218,370,482,056,735,169,026,246,730,012,144,463,711,447,440,046,398,804,
918,901,052,904,390,869,887,853,232,118,897,736,373,322,983,189,277,221,459,
448,940,553,428,049,993,421,233,180,794,206,502,869,528,853,960,639,773,073,
045,781,653,368,353,485,289,565,796,322,359,136,621,084,313,415,220,632,184,
345,579,917,556,132,730,525,526,944,976,832,179,776,025,275,636,495,428,231,
407,237,197,653,693,093,533,717,090,743,893,851,215,220,932,975,803,538,447,
460,064,190,923,390,510,441,262,787,333,359,070,960,148,835,810,782,523,954,
379,472,311,256,055,977,200,377,418,565,765,835,277,237,411,683,447,749,449,
281,449,127,107,428,505,545,259,727,054,025,737,122,448,835,887,565,656,835,
247,839,221,751,416,272,235,193,577,616,805,705,757,179,205,126,165,889,735,
993,742,724,395,748,295,762,942,990,530,428,578,289,303,901,072,286,753,090,
159,894,303,763,727,485,662,522,173,801,311,625,083,751,001,680,316,411,301,
624,277,218,270,397,517,696,727,661,286,442,657,320,833,167,511,718,984,076,
282,963,649,544,590,918,218,005,730,338,248,063,215,951,138,837,764,745,492,
464,167,252,671,182,322,834,880,369,484,234,253,794,492,960,649,161,215,415,
629,044,496,682,433,565,760,500,773,647,590,918,408,901,993,592,678,775,452,
195,320,825,643,797,809,912,586,015,772,138,308,900,032,146,839,594,025,999,
667,608,623,434,516,310,754,931,969,789,574,463,731,235,743,339,507,574,680,
455,122,580,515,286,846,844,310,009,630,024,216,367,872,057,903,268,944,629,
753,780,564,258,977,087,014,517,328,039,794,620,434,653,866,385,621,862,832,
745,685,268,195,499,089,226,992,496,375,878,902,163,782,685,588,943,787,356,
951,551,499,526,549,690,018,268,535,201,154,708,171,974,239,756,009,695,473,
958,096,516,010,438,859,137,548,902,287,342,116,924,196,720,873,549,729,085,
589,912,156,311,989,781,392,616,268,101,949,911,260,311,428,688,760,745,929,
826,516,119,306,813,965,816,406,358,613,594,920,136,015,671,354,595,044,594,
446,172,317,403,914,657,280,652,205,533,401,301,788,519,244,235,305,297,383,
256,131,906,055,560,605,955,801,346,686,658,675,292,614,913,844,382,049,623,
460,674,420,905,113,015,243,462,967,321,962,302,756,247,530,678,842,631,364,
464,392,168,643,766,609,868,430,912,075,106,582,611,933,393,331,655,881,789,
938,684,852,682,090,696,165,127,300,435,430,570,515,627,125,656,977,322,963,
708,164,381,117,287,493,455,139,618,446,671,038,883,422,761,207,907,151,699,
430,468,755,067,239,348,106,808,437,727,485,725,669,853,069,219,975,971,377,
582,933,295,853,054,803,836,849,986,824,418,225,553,408,693,189,100,189,138,
693,491,507,903,380,431,934,449,994,857,561,498,063,169,375,291,671,687,196,
060,898,923,397,998,139,744,850,257,943,885,814,882,048,022,460,665,279,873,
145,380,171,716,633,224,796,940,665,257,526,366,465,291,789,059,083,791,359,
739,704,867,524,579,552,255,292,894,559,367,701,009,037,694,871,970,040,570,
592,923,828,451,685,513,912,646,377,904,179,158,176,160,113,766,065,958,486,
033,797,448,419,989,726,962,465,757,762,325,191,114,065,091,418,311,409,081,
608,519,156,055,792,161,024,461,542,106,002,215,524,520,590,574,518,735,130,
598,106,972,784,891,709,745,012,467,605,112,086,715,019,482,253,699,502,322,
008,638,772,359,655,593,530,746,337,867,968,108,701,941,616,275,725,135,808,
078,635,070,504,228,612,344,846,412,796,730,965,741,910,142,255,867,928,558,
151,995,730,203,175,668,582,330,711,871,344,160,584,585,606,469,877,420,674,
997,716,228,666,872,511,408,244,190,426,580,546,120,686,614,286,422,653,622,
135,179,294,538,049,446,715,808,367,774,736,026,826,991,329,793,448,432,753,
742,460,152,634,582,406,260,048,669,631,531,648,951,579,446,640,011,559,337,
528,620,060,092,147,107,234,503,017,630,077,517,834,836,118,047,829,129,288,
426,713,458,035,885,381,280,603,068,910,151,071,898,525,414,653,727,906,038,
146,627,289,142,568,443,764,182,951,222,614,993,402,560,435,094,375,284,970,
549,511,892,737,989,359,077,824,783,645,803,364,481,901,335,000,921,929,560,
345,408,665,814,953,409,538,918,337,920,788,766,892,179,390,323,902,080,910,
947,324,256,920,020,112,723,465,380,379,936,335,120,149,858,766,256,315,487,
153,126,215,936,221,168,144,416,877,835,339,504,129,037,819,560,229,038,937,
564,972,461,974,582,388,622,644,485,712,752,144,656,523,183,056,316,843,229,
680,822,276,332,031,795,214,559,109,323,393,786,451,339,052,873,213,225,906,
190,487,846,259,602,679,028,393,385,044,498,228,890,754,256,083,986,824,873,
107,779,539,612,474,267,278,946,618,358,719,954,323,719,583,261,151,525,802,
157,183,184,760,029,553,518,535,629,257,167,119,558,780,613,511,625,913,279,
442,741,409,716,390,244,056,776,554,725,972,590,247,402,898,379,989,323,239,
241,566,851,746,465,891,501,470,020,965,044,261,458,499,658,566,942,596,751,
728,501,592,527,710,712,834,258,342,364,940,020,899,284,520,208,586,890,880,
842,955,062,244,037,525,795,062,463,369,152,379,718,456,832,583,729,917,318,
458,881,248,772,042,244,906,703,511,880,025,872,908,133,297,966,249,970,097,
613,201,830,661,099,311,980,110,555,713,793,718,743,410,988,632,866,075,720,
917,111,286,099,818,927,907,988,110,766,683,265,765,456,258,183,788,550,255,
519,663,950,119,604,993,007,160,967,900,640,531,600,191,665,876,127,673,203,
676,887,302,087,402,682,994,949,079,567,085,572,056,782,609,585,661,846,589,
697,529,985,177,989,438,622,445,145,504,446,067,888,599,249,184,722,654,796,
103,511,260,495,598,342,550,987,723,947,366,758,294,603,539,262,003,251,364,
102,920,891,090,783,191,617,232,722,522,623,449,801,090,720,617,216,549,086,
434,860,292,076,804,199,918,038,611,323,895,424,932,739,959,502,516,993,117,
649,128,371,799,025,089,706,264,543,212,108,820,040,166,466,016,238,511,272,
549,305,336,618,492,983,826,184,017,735,200,026,239,526,201,943,677,998,682,
873,319,151,854,816,419,970,654,024,043,684,815,031,505,164,845,982,085,474,
720,086,906,527,093,042,884,080,951,402,779,492,497,742,268,154,165,788,994,
594,353,876,014,026,186,974,203,006,499,799,581,330,498,165,232,121,464,426,
817,340,787,810,493,108,391,273,260,883,431,446,134,787,039,760,992,439,378,
866,795,056,532,316,117,013,965,913,970,884,045,736,065,366,127,935,448,966,
437,122,614,803,630,119,679,063,245,038,251,631,422,726,372,469,402,634,074,
141,087,449,503,866,062,804,612,155,961,873,339,169,102,055,347,160,068,394,
069,872,214,204,548,402,808,899,601,260,179,212,767,156,512,788,689,357,336,
885,031,299,146,747,115,803,313,587,386,287,924,588,940,019,404,904,535,523,
521,721,451,511,047,866,659,706,986,877,489,099,673,349,594,379,766,014,919,
299,700,289,473,627,916,123,339,887,581,216,592,372,936,911,588,318,153,109,
467,235,633,620,015,145,130,555,161,021,357,713,074,706,309,076,694,053,321,
608,151,928,391,350,639,846,403,205,166,339,090,050,980,088,766,029,613,916,
805,697,065,753,006,229,187,995,443,441,286,397,655,554,522,768,766,744,914,
416,569,757,017,540,535,606,208,097,452,728,972,616,181,141,750,558,105,006,
671,048,269,188,002,380,051,289,515,054,735,697,124,734,186,607,451,630,762,
774,276,409,942,040,367,832,893,399,538,043,753,313,607,066,277,384,815,210,
115,008,955,088,769,910,970,908,079,229,271,361,985,037,766,977,174,842,005,
072,254,023,407,755,394,843,006,491,014,558,866,076,191,570,133,381,789,148,
992,604,794,003,504,784,790,960,358,316,259,338,034,767,755,782,619,276,912,
930,234,258,098,730,761,235,990,989,894,616,112,520,058,568,553,547,811,469,
970,732,284,171,793,552,690,719,127,694,342,285,309,895,306,358,492,957,179,
380,309,356,589,232,469,781,452,548,840,052,490,878,541,508,129,004,795,817,
067,833,225,835,046,186,717,289,337,099,083,168,625,958,978,291,319,536,162,
605,856,351,822,218,994,942,152,155,400,010,474,723,482,603,525,373,802,846,
795,227,692,854,747,809,391,047,058,112,500,613,796,507,404,145,625,587,948,
537,874,165,219,647,449,812,211,775,357,956,407,684,383,536,122,552,915,563,
427,453,802,128,855,435,320,758,114,586,009,864,113,148,711,134,662,552,555,
712,482,539,223,139,755,781,609,241,936,379,655,748,448,829,534,558,657,151,
834,680,422,684,733,943,329,753,682,568,980,508,020,949,104,542,286,782,508,
769,569,347,140,692,366,417,206,606,622,874,294,873,949,109,757,144,908,323,
928,656,458,035,515,293,230,792,377,708,532,236,163,396,279,608,705,585,571,
190,298,370,849,079,014,243,397,638,179,634,015,299,899,449,424,258,065,943,
990,762,033,946,674,656,251,385,156,330,092,385,831,574,653,893,454,157,596,
392,897,618,860,014,911,010,757,673,933,297,044,665,899,749,529,441,420,286,
369,197,986,311,726,564,676,933,067,244,744,409,451,301,472,027,004,214,783,
130,028,009,260,526,452,261,524,838,088,988,844,952,596,676,953,449,537,874,
008,405,152,008,996,540,890,842,395,604,003,832,427,714,882,952,393,139,809,
698,546,849,863,281,438,596,939,577,073,647,947,666,054,369,137,277,526,776,
596,961,855,878,195,971,555,376,686,357,202,251,095,366,121,159,926,606,035,
799,536,745,655,210,825,162,804,391,142,133,127,655,656,152,681,610,017,519,
831,282,210,048,083,725,308,926,457,385,292,163,953,015,833,417,672,149,001,
327,911,776,791,733,997,540,205,378,705,745,841,230,508,629,439,907,881,962,
731,471,638,882,225,087,182,876,010,374,622,549,512,284,993,078,731,287,532,
216,047,674,212,307,806,117,387,236,566,997,052,533,158,353,145,439,678,359,
268,509,145,766,801,857,437,630,473,690,183,715,728,279,778,255,585,929,404,
594,319,357,799,182,358,756,711,469,758,051,449,465,569,208,311,645,392,743,
430,235,933,012,222,906,077,899,853,383,980,733,011,801,601,944,858,504,482,
508,562,085,783,993,029,419,693,774,044,727,918,362,483,355,238,430,973,584,
363,876,398,276,041,056,609,779,885,283,627,059,770,608,344,410,916,565,925,
314,718,384,161,024,524,205,397,374,280,864,129,745,085,478,531,839,902,500,
622,965,486,727,141,335,084,106,558,077,535,462,826,106,106,276,944,869,270,
692,559,473,350,229,166,495,636,439,484,943,015,301,238,118,684,675,481,021,
520,425,146,721,297,119,179,913,455,324,202,804,776,449,671,784,853,195,809,
197,892,876,005,491,929,146,687,689,659,467,039,043,954,835,022,601,467,964,
038,906,734,659,639,425,636,000,475,093,185,874,535,605,591,321,759,155,746,
184,879,284,377,018,982,067,850,931,316,489,232,293,344,931,559,207,335,482,
032,745,342,104,990,985,273,064,586,522,038,975,210,007,432,638,651,626,419,
393,182,753,979,696,450,657,565,839,612,638,673,814,533,979,225,253,513,752,
714,820,803,417,740,687,151,328,854,303,991,041,557,817,797,098,485,356,239,
698,738,079,184,598,568,495,352,846,454,220,016,138,993,588,235,055,444,872,
075,632,879,626,715,981,067,131,196,491,888,600,273,765,739,723,360,629,010,
927,024,728,654,723,704,764,235,953,454,379,629,167,302,035,540,433,780,491,
216,877,574,341,986,589,121,720,053,264,275,547,175,410,220,781,318,979,341,
563,269,506,242,453,534,014,043,682,199,085,393,335,845,620,500,652,881,944,
520,459,925,198,102,885,787,192,787,682,525,579,488,115,844,605,284,545,431,
850,076,540,435,581,395,804,609,732,950,993,663,715,537,049,454,250,624,326,
985,153,316,283,167,904,599,159,605,149,538,218,316,289,747,108,758,983,479,
626,645,205,244,017,185,805,282,300,509,090,789,687,460,991,045,206,989,374,
531,089,676,513,362,942,574,271,989,686,606,802,537,874,568,025,432,628,964,
014,419,334,812,416,160,175,544,197,634,995,036,732,472,484,799,289,190,938,
438,907,526,705,724,788,669,969,184,185,489,625,654,254,675,914,661,513,191,
012,416,906,544,401,042,299,971,039,664,208,028,738,172,156,656,623,200,276,
349,100,007,962,429,229,391,148,765,493,860,087,027,837,137,025,901,759,917,
975,697,610,299,543,033,675,848,076,156,146,339,298,158,817,594,566,411,684,
928,983,133,309,945,886,003,489,853,206,003,582,798,154,989,250,328,736,313,
661,812,748,690,592,680,838,080,888,352,726,842,090,345,840,163,464,144,933,
822,981,895,097,723,884,022,655,717,006,032,504,229,133,800,873,497,029,811,
634,004,818,132,672,253,206,894,316,705,058,635,897,643,475,958,080,623,279,
026,288,138,906,494,541,199,986,259,542,739,195,800,063,036,595,789,706,261,
918,152,332,296,017,459,006,020,531,178,259,890,176,972,572,387,189,276,527,
226,368,671,996,414,701,062,851,233,218,668,017,356,597,214,507,196,940,653,
204,950,640,123,743,998,294,542,913,233,336,057,515,584,907,303,595,689,429,
861,243,332,262,008,308,694,205,973,399,846,841,960,033,456,799,662,062,222,
391,405,627,556,432,295,922,974,611,048,910,438,740,993,536,119,896,699,928,
107,085,233,123,273,396,968,355,453,031,029,930,386,451,084,313,218,975,892,
420,333,111,702,382,994,065,345,790,124,572,188,568,857,138,240,623,821,310,
793,901,673,180,117,678,361,499,824,289,913,795,735,984,294,573,787,250,149,
387,738,076,986,120,785,215,661,988,405,732,573,313,475,840,314,348,885,719,
557,880,032,346,557,274,727,390,752,499,220,770,859,491,585,505,140,894,900,
345,345,882,681,276,106,345,007,141,204,908,258,539,679,084,947,184,985,083,
221,376,178,305,758,947,106,306,757,734,845,844,846,677,534,253,421,518,586,
535,086,293,222,505,248,216,653,784,873,276,937,693,268,314,083,008,647,873,
428,735,479,289,086,471,860,864,065,027,302,708,126,533,528,593,774,961,771,
117,726,569,792,282,741,198,487,419,284,862,385,458,258,652,906,184,479,500,
465,207,034,580,173,100,579,190,508,964,638,607,161,447,011,837,232,512,476,
657,061,733,462,509,554,539,479,058,554,167,775,888,614,382,779,406,539,006,
429,930,343,798,618,753,689,051,547,499,719,335,582,372,536,337,809,503,840,
866,625,757,416,922,576,445,252,871,047,276,463,991,606,310,204,423,451,574,
526,947,304,871,318,675,104,034,753,907,236,117,454,571,360,256,873,853,111,
009,666,078,176,212,819,176,091,491,985,936,563,338,019,121,868,988,396,090,
968,290,758,295,721,093,492,916,183,118,664,783,517,452,630,812,636,530,965,
624,613,083,007,934,046,636,720,788,208,530,305,729,989,196,048,292,053,579,
581,670,189,500,950,859,835,400,788,876,414,609,154,234,410,783,728,007,621,
739,988,741,554,616,097,472,978,149,910,913,324,323,419,142,283,187,509,133,
329,480,800,076,500,386,866,779,720,282,903,861,959,646,191,810,274,080,478,
608,830,572,698,184,763,042,220,655,176,572,553,774,557,882,454,410,975,165,
370,299,128,427,372,719,619,311,154,110,218,916,232,426,641,643,721,994,547,
014,786,917,564,265,803,973,895,199,590,314,803,488,470,943,906,577,559,535,
675,754,206,883,377,978,331,390,073,298,428,573,556,003,404,157,485,728,964,
525,565,249,601,927,125,660,841,196,451,812,311,164,900,247,252,639,829,402,
292,563,353,519,608,980,304,540,863,909,769,958,925,944,767,601,340,692,299,
641,829,665,122,891,767,568,903,296,651,067,402,420,081,793,549,645,811,155,
134,612,921,949,315,899,103,849,539,000,364,112,194,284,770,408,064,098,100,
238,172,374,839,460,178,988,460,913,212,417,859,966,708,467,391,397,226,371,
540,593,025,256,701,870,147,337,134,328,087,831,483,841,079,041,029,595,457,
186,180,371,226,924,998,384,406,769,318,185,172,812,624,324,853,072,524,206,
396,498,875,301,132,887,469,839,648,558,761,598,324,123,499,052,671,821,421,
483,393,927,228,199,411,685,334,117,908,341,617,250,921,115,227,223,469,672,
505,460,706,393,106,711,057,449,924,252,601,571,529,767,641,840,459,724,286,
928,330,007,799,669,506,983,880,972,581,883,435,220,646,652,996,223,322,219,
796,107,433,633,878,685,501,501,695,721,206,811,350,396,481,125,360,937,620,
365,036,039,912,400,379,816,370,734,583,927,181,907,750,269,900,492,907,017,
510,432,926,706,745,562,125,438,398,974,422,258,164,191,907,932,126,002,530,
512,138,574,702,419,960,968,840,189,889,821,378,671,536,702,424,434,640,858,
817,291,509,870,022,737,029,834,387,839,680,092,845,658,914,366,970,679,226,
766,686,977,105,807,021,022,476,860,821,810,728,770,696,786,188,794,508,072,
688,548,198,539,172,088,762,688,830,995,065,182,183,401,695,493,496,609,696,
451,762,702,474,954,908,742,611,782,035,414,591,520,534,484,765,126,790,078,
040,249,005,703,309,894,162,770,691,030,695,652,613,085,734,214,673,968,534,
418,687,851,164,196,487,030,151,254,250,596,134,158,493,574,134,956,619,088,
536,250,163,825,600,478,717,511,134,869,763,624,740,345,033,409,427,675,265,
455,458,909,783,586,676,678,660,259,652,627,627,621,864,297,646,743,295,570,
104,099,036,005,831,538,963,843,678,012,016,433,443,924,318,509,623,646,188,
819,129,977,808,566,960,846,658,075,707,809,898,249,092,509,091,900,817,919,
455,056,224,128,420,530,241,761,709,539,701,433,476,962,092,055,440,729,762,
452,199,029,868,374,099,375,800,368,102,407,615,479,521,716,194,322,160,955,
256,954,568,604,958,376,005,786,965,169,335,317,396,586,524,755,622,997,346,
896,082,725,904,492,543,068,223,279,150,950,766,500,447,895,927,108,506,820,
284,648,105,582,280,413,884,897,734,505,974,542,932,627,168,445,368,111,420,
189,091,207,588,407,687,172,568,018,359,746,516,041,131,079,350,467,735,416,
175,510,948,875,793,806,668,266,627,526,854,699,229,112,424,571,565,586,396,
873,063,190,266,925,987,559,268,054,150,720,844,642,540,700,243,509,501,939,
582,456,342,653,290,143,032,236,952,382,665,867,188,551,675,726,982,129,749,
393,372,373,372,667,581,240,205,229,244,840,462,400,969,058,831,428,182,942,
700,242,971,454,584,532,716,692,196,957,063,732,204,275,554,171,895,711,280,
934,092,171,351,077,191,596,380,749,324,662,699,291,739,859,361,005,055,356,
404,289,560,327,547,471,926,601,387,811,501,910,006,256,689,949,903,163,295,
522,497,401,040,825,070,608,919,986,019,478,530,470,024,794,701,866,995,802,
596,580,342,540,322,289,074,090,115,591,980,125,005,654,251,931,821,146,229,
890,182,834,244,120,574,518,003,023,658,358,794,164,255,477,479,462,748,277,
727,269,471,472,606,486,766,921,398,724,388,841,135,497,804,612,158,366,580,
208,426,372,454,108,609,145,652,004,736,426,215,365,381,101,489,395,756,277,
888,837,842,260,558,944,689,171,292,796,330,043,040,637,691,191,814,227,478,
705,098,831,455,460,758,486,290,714,478,002,434,584,228,404,626,142,080,064,
768,192,686,701,878,182,205,827,436,767,041,698,437,541,547,185,177,260,098,
244,375,692,318,309,347,894,543,751,496,612,804,902,825,591,387,979,890,058,
718,122,641,146,582,667,496,490,931,114,459,846,358,965,109,240,359,542,245,
558,074,122,965,912,679,471,923,363,167,743,841,713,015,581,087,424,387,915,
601,765,849,989,830,221,953,704,996,627,690,650,281,295,196,725,045,743,082,
343,153,807,985,813,936,486,124,960,710,947,268,219,375,230,548,871,191,138,
783,967,517,326,468,660,066,887,882,363,349,165,644,377,981,111,028,451,976,
774,849,399,259,112,065,464,391,399,500,025,559,625,145,633,192,242,344,710,
804,298,356,759,872,607,595,344,110,016,937,287,467,704,957,270,600,910,296,
519,046,913,160,453,554,598,682,002,843,155,983,197,795,911,643,568,117,007,
294,746,319,487,775,011,611,498,408,201,916,342,843,320,799,843,367,844,695,
742,662,118,143,928,344,596,360,905,683,781,880,974,374,347,232,254,685,717,
735,489,649,113,182,847,401,064,472,242,739,301,318,048,236,705,333,319,005,
234,479,498,342,338,058,462,699,907,663,735,073,850,666,327,486,893,433,274,
908,098,089,489,516,219,300,497,592,204,013,156,736,481,760,021,970,995,033,
033,345,943,160,588,121,901,825,789,927,851,739,784,766,135,550,378,121,979,
297,725,471,175,575,996,360,825,829,210,862,250,965,977,026,057,397,390,028,
461,310,278,387,544,652,782,233,583,515,267,815,305,857,897,847,955,650,914,
179,524,238,392,949,732,710,243,611,160,255,034,716,114,782,784,838,932,372,
156,550,163,017,694,049,669,938,998,638,912,470,803,021,987,047,098,358,739,
045,426,887,306,725,767,393,370,273,592,238,939,345,956,275,976,979,348,114,
964,308,625,649,043,838,407,197,886,552,026,004,915,165,397,918,373,662,399,
255,135,379,332,129,999,745,718,140,064,827,191,140,063,525,243,706,906,002,
469,813,698,131,149,488,879,585,483,413,922,648,421,384,070,689,112,873,303,
208,854,242,639,765,749,179,988,894,538,572,186,345,504,918,503,780,249,884,
920,949,672,212,043,716,484,972,057,239,334,699,577,456,956,032,882,231,792,
762,637,397,857,889,453,320,002,707,942,641,667,664,635,308,006,431,344,184,
195,844,565,624,548,895,067,649,223,499,610,149,387,764,339,809,718,515,489,
154,339,355,538,135,086,793,040,009,819,200,478,970,086,619,503,039,131,336,
221,766,559,877,345,618,265,146,719,398,399,234,995,728,907,660,403,539,434,
764,003,906,035,707,799,594,151,546,448,093,794,797,846,821,182,437,105,795,
047,956,386,738,561,686,859,648,684,175,910,115,967,296,763,441,489,131,585,
148,246,370,033,717,156,980,833,539,040,268,904,872,816,557,320,765,770,848,
241,368,453,346,513,924,715,470,934,860,541,821,092,995,052,406,948,929,601,
162,677,511,645,209,508,003,341,660,159,232,475,362,875,384,476,626,093,657,
601,073,554,561,226,476,128,563,840,680,186,436,380,865,772,550,846,727,511,
523,833,542,706,204,560,006,399,608,279,755,057,193,379,089,194,654,407,100,
538,880,860,709,562,792,356,232,433,197,759,488,950,644,138,506,009,669,846,
650,891,710,632,323,698,618,399,579,640,339,167,617,361,915,326,202,835,269,
231,807,606,600,181,328,617,036,700,901,435,354,727,631,115,299,177,273,257,
610,200,412,863,421,390,225,091,208,207,288,744,487,716,781,521,263,193,405,
511,456,940,482,149,977,019,294,237,065,052,789,893,829,174,709,292,370,758,
013,084,531,747,018,453,141,904,196,243,521,843,124,125,216,680,090,332,129,
464,329,938,750,684,091,025,597,976,568,701,495,601,612,052,734,525,175,218,
386,210,528,347,468,812,340,005,146,504,155,866,496,333,949,844,928,745,803,
579,069,706,004,745,321,437,698,414,634,756,193,515,783,684,051,943,718,962,
308,026,402,998,578,439,406,950,252,822,888,892,684,514,505,756,234,985,161,
729,737,104,975,900,971,687,772,013,470,966,952,915,260,549,623,901,645,555,
769,232,169,921,004,336,633,522,628,894,152,489,254,384,513,357,012,376,818,
974,613,731,377,457,701,088,203,127,671,068,928,594,044,009,094,833,114,390,
027,917,854,969,907,830,453,383,298,474,679,430,681,241,214,417,841,832,661,
221,340,881,686,989,162,545,700,270,850,896,049,380,672,197,867,673,694,832,
380,181,197,405,474,291,208,059,369,839,257,009,421,939,748,097,570,882,595,
370,858,973,438,769,329,653,312,338,407,806,543,019,358,050,261,286,194,970,
262,081,889,044,554,443,563,106,310,351,567,225,241,497,973,297,962,912,131,
803,032,890,561,838,670,656,271,496,214,304,077,444,197,404,059,144,220,431,
368,132,575,458,587,054,150,826,189,648,360,927,317,059,250,472,989,711,247,
916,483,961,316,356,036,020,037,489,099,421,169,747,859,127,499,626,205,243,
186,902,872,801,292,828,663,293,954,968,455,874,023,323,150,789,824,791,994,
270,075,284,696,278,972,472,758,744,879,911,080,603,820,213,675,058,789,550,
198,000,995,285,011,672,481,366,289,128,219,156,181,777,933,551,854,145,025,
987,632,926,850,564,929,662,507,442,463,381,677,428,077,257,772,153,608,299,
935,920,706,039,625,121,791,556,383,214,407,503,397,951,963,669,568,625,939,
020,989,508,362,431,508,430,937,067,933,308,737,250,356,296,051,012,788,640,
461,218,654,527,297,058,027,891,135,393,163,642,067,930,549,263,998,049,584,
256,235,789,426,517,566,162,984,183,626,073,662,820,150,218,165,829,256,807,
102,119,527,734,670,785,095,043,249,912,421,173,458,236,396,572,919,668,217,
421,223,317,403,363,304,471,560,271,037,432,700,487,656,114,532,911,055,882,
298,346,535,853,688,265,521,168,183,379,329,305,079,338,378,240,869,120,301,
430,054,024,790,655,502,702,178,529,769,474,213,555,983,181,012,649,854,340,
335,548,587,678,915,759,530,829,567,495,831,555,962,710,502,228,605,360,761,
609,012,249,097,749,423,222,514,262,246,598,733,537,221,683,059,601,479,628,
536,363,879,540,227,413,107,784,768,078,849,183,275,708,325,010,840,148,373,
289,315,120,554,574,970,590,740,159,452,153,304,950,538,970,461,200,724,255,
257,132,744,509,098,132,831,334,611,086,276,192,768,580,863,468,260,064,824,
075,957,895,699,123,574,916,617,859,855,979,545,790,384,304,628,550,151,045,
056,410,027,408,050,030,057,562,625,518,111,491,265,033,234,819,760,264,748,
321,092,933,848,011,655,519,108,391,316,428,289,444,475,694,928,204,066,186,
283,416,660,622,919,136,856,444,717,424,569,297,631,626,133,757,806,793,014,
851,130,495,668,425,704,780,940,286,041,937,042,469,955,578,950,974,821,099,
795,046,122,960,836,928,272,946,795,944,613,361,070,942,083,051,815,610,866,
566,639,940,324,833,300,149,156,031,409,240,318,858,921,426,197,646,545,866,
425,926,264,288,587,919,882,597,424,130,654,108,999,245,165,012,570,123,896,
896,893,406,563,607,723,436,291,087,783,965,056,376,867,799,699,648,856,645,
502,251,242,898,285,941,230,949,916,701,834,538,628,153,424,172,182,629,270,
894,503,195,501,186,530,844,433,017,766,164,618,804,605,020,433,466,159,463,
082,355,334,192,904,965,234,862,309,411,472,540,070,560,867,464,177,837,031,
785,772,247,878,518,958,102,668,903,063,591,875,751,217,817,522,610,919,173,
989,189,196,552,108,065,360,716,798,319,389,888,496,196,804,532,308,547,346,
205,232,152,213,876,635,388,964,059,868,983,661,883,698,311,019,801,374,734,
721,496,203,893,740,716,036,507,148,237,523,515,531,795,061,270,965,100,692,
963,625,540,268,675,563,051,288,052,788,781,966,467,761,277,271,123,741,187,
251,619,769,433,008,241,109,982,959,214,350,740,151,841,455,560,700,874,822,
665,858,128,087,346,243,196,708,868,115,276,571,563,348,883,865,576,873,790,
190,423,919,487,151,215,734,722,851,650,103,403,263,247,233,188,790,463,171,
827,447,592,472,241,736,931,764,597,172,056,946,405,335,108,944,741,175,197,
424,924,207,202,810,930,695,435,255,095,672,756,204,104,709,400,620,235,640,
839,217,879,882,479,283,440,518,747,810,324,318,588,685,285,698,215,296,459,
350,922,358,332,869,238,354,598,023,508,054,674,900,076,673,565,940,388,555,
364,412,824,600,928,749,303,206,710,290,614,229,188,390,777,110,357,582,249,
333,576,976,603,234,731,592,440,510,469,177,080,420,884,795,473,403,403,215,
945,117,312,043,770,695,812,133,598,466,892,789,124,881,626,846,365,886,047,
937,090,628,378,717,321,176,987,228,956,574,649,951,099,568,792,803,674,079,
420,564,534,111,025,775,856,416,463,567,215,968,359,924,432,755,316,697,008,
245,954,139,839,924,552,982,418,948,375,716,681,071,447,893,224,421,960,504,
118,229,123,611,554,922,788,023,340,472,480,203,966,259,812,795,795,027,414,
782,592,595,174,088,066,861,884,094,441,788,740,576,450,925,961,699,335,315,
160,687,189,996,274,545,428,749,562,296,762,189,117,214,444,834,072,056,678,
275,012,368,698,363,303,529,652,507,389,713,190,993,056,484,181,670,807,324,
794,753,435,001,507,654,414,789,036,794,959,336,047,862,208,556,709,786,475,
015,625,855,731,407,750,744,933,526,285,976,693,147,281,543,686,510,167,352,
519,580,857,154,468,866,185,239,619,001,080,561,266,443,036,787,629,491,550,
477,032,519,166,459,883,819,670,873,261,278,246,014,620,477,733,269,169,638,
491,396,670,272,068,438,975,723,768,025,075,807,165,536,061,194,769,718,013,
646,764,519,944,092,168,396,889,921,715,646,361,184,813,537,608,397,334,298,
775,168,458,862,486,503,123,393,543,119,690,138,466,804,226,705,761,733,922,
971,582,111,686,588,343,725,077,730,348,063,933,099,720,838,059,563,338,906,
487,054,094,328,024,698,136,462,787,213,015,305,086,815,449,079,700,510,105,
340,561,112,042,793,114,357,043,052,507,651,610,045,846,208,664,242,346,095,
146,752,672,665,851,163,767,561,253,039,415,085,253,061,606,775,910,715,634,
357,854,459,336,856,449,563,276,342,222,083,245,526,090,033,639,569,707,683,
615,693,936,881,538,184,626,664,112,343,594,549,605,099,006,695,937,285,515,
322,106,421,205,986,608,133,116,328,147,829,878,047,121,581,231,465,755,933,
387,854,322,245,260,186,542,886,049,757,898,804,834,540,158,132,360,531,378,
646,049,709,819,372,988,833,901,010,794,876,003,659,475,147,741,135,937,983,
153,477,564,459,024,693,306,784,063,719,911,045,315,335,670,474,715,731,604,
780,936,837,754,767,455,901,003,836,086,679,557,574,804,611,419,937,780,308,
166,458,954,741,476,055,431,242,562,466,290,991,144,642,214,368,278,104,714,
504,239,917,847,768,196,283,079,300,805,457,720,807,866,377,091,914,201,469,
647,537,261,444,935,973,259,076,489,027,842,436,934,473,739,419,370,626,809,
015,293,022,947,562,178,766,391,984,978,243,120,799,419,455,096,458,122,404,
664,135,425,225,278,853,428,089,583,822,974,526,315,692,807,518,843,153,401,
272,267,920,772,470,375,760,840,937,478,795,568,447,433,733,046,110,736,006,
220,357,369,811,494,384,046,430,275,344,544,838,829,094,455,482,202,002,524,
538,956,987,940,020,435,067,294,594,121,189,258,021,410,361,939,419,573,831,
716,128,350,776,674,623,909,966,438,705,498,741,415,823,354,910,381,382,105,
347,203,143,107,322,306,477,101,721,084,936,614,978,012,241,399,193,538,000,
301,485,446,434,554,864,482,039,688,875,838,209,165,947,551,780,658,042,636,
705,817,513,153,168,954,296,062,673,809,640,227,654,637,854,605,096,980,237,
389,175,494,904,285,071,670,763,732,902,868,346,292,197,474,977,830,441,627,
447,911,846,646,190,591,666,269,796,319,864,030,915,511,432,708,672,052,983,
474,088,081,046,726,624,933,187,523,220,947,185,450,759,852,357,396,085,327,
448,362,788,899,733,547,182,750,539,550,447,041,499,561,568,616,165,379,637,
995,224,768,095,625,272,696,954,719,877,325,714,111,158,686,105,856,507,744,
410,142,841,917,279,722,329,474,815,442,806,160,665,065,194,121,436,102,251,
894,763,783,489,995,169,212,042,567,331,969,621,486,901,413,641,068,589,369,
436,618,189,229,127,234,952,763,121,104,866,629,926,653,223,037,067,917,089,
275,590,776,651,736,042,036,012,871,573,091,954,622,191,593,478,909,351,473,
774,862,513,394,575,707,821,366,438,456,145,658,779,087,873,942,077,057,631,
747,105,853,835,847,324,817,955,234,843,067,725,998,050,883,700,672,605,593,
781,997,972,969,663,482,417,513,326,972,521,483,163,766,060,659,159,877,373,
568,708,166,931,267,753,242,562,015,063,467,439,188,050,419,757,111,826,312,
071,426,428,430,163,100,851,391,581,849,187,050,576,566,342,015,045,061,958,
991,077,817,622,390,021,644,423,357,589,326,199,557,572,047,734,676,047,997,
434,846,315,342,413,786,587,679,016,548,133,244,891,010,024,337,356,157,757,
342,369,927,202,044,305,231,493,765,685,068,222,684,880,032,267,614,668,549,
669,861,149,632,940,545,225,765,464,325,077,930,014,468,842,640,481,028,662,
421,309,520,808,356,509,356,728,898,752,386,676,304,837,165,731,922,618,303,
111,387,184,912,304,520,389,024,251,730,281,680,257,830,626,865,097,768,634,
432,970,833,209,622,104,760,740,120,928,981,667,727,422,337,909,565,528,711,
386,993,656,738,694,169,104,226,878,804,979,970,263,061,088,008,337,477,007,
711,901,951,289,804,203,406,581,432,425,854,412,992,621,912,992,139,468,903,
731,924,512,521,329,484,145,261,745,630,938,404,460,174,436,537,695,095,730,
586,613,441,896,660,199,542,012,487,037,665,850,493,096,257,340,093,092,000,
941,656,761,836,934,349,843,695,353,377,795,406,145,485,219,135,332,860,093,
113,601,358,053,009,764,066,738,845,668,803,118,567,000,236,482,543,107,448,
211,161,709,076,767,227,158,940,288,791,906,866,150,652,450,956,602,262,507,
492,940,933,642,060,184,500,683,596,971,536,745,404,445,590,109,885,747,711,
334,686,704,728,886,823,205,679,131,176,209,650,294,913,543,520,133,921,715,
982,456,711,180,157,529,437,602,284,447,202,121,596,457,068,971,839,965,393,
985,591,666,022,728,952,923,099,967,477,758,725,971,856,725,483,051,560,501,
816,052,809,359,055,839,258,722,736,376,822,824,964,966,196,671,543,840,065,
526,283,016,795,691,507,355,913,887,037,225,583,955,461,787,722,634,930,994,
131,090,792,711,542,487,892,932,083,569,689,285,504,526,713,957,622,074,534,
544,541,688,689,072,972,393,541,142,375,621,476,898,798,813,316,876,067,209,
209,462,936,422,722,221,577,339,942,761,401,213,106,715,879,808,964,319,578,
373,449,829,666,525,814,812,189,705,237,676,479,153,894,778,117,148,423,187,
581,733,051,214,864,788,015,754,919,415,254,214,346,948,026,653,248,170,894,
207,826,026,671,886,878,873,980,575,517,183,181,445,830,877,188,154,835,730,
620,038,064,383,864,876,723,926,872,027,512,364,313,397,335,648,727,055,515,
142,940,458,030,146,751,175,952,862,675,461,508,042,048,521,499,535,879,043,
632,390,739,699,955,629,325,200,410,799,082,521,576,805,414,990,260,212,563,
591,781,524,163,231,120,959,921,555,943,930,069,023,231,163,519,201,207,414,
526,072,543,962,001,631,629,931,149,065,443,783,309,538,428,545,901,151,681,
718,961,968,570,433,471,197,361,147,401,649,830,643,607,211,624,903,988,208,
202,325,445,866,998,384,847,633,420,992,098,510,418,725,865,016,732,984,985,
597,621,730,725,985,338,081,894,799,733,716,754,155,941,867,815,429,613,745,
066,587,268,884,584,367,796,625,910,212,788,215,662,111,449,751,916,426,342,
648,779,687,592,391,081,207,373,681,141,418,443,725,187,802,736,565,746,427,
729,186,365,706,285,468,671,125,427,640,743,833,273,175,346,133,575,093,127,
109,914,390,533,127,041,350,793,832,851,126,399,619,902,830,634,893,398,937,
556,528,368,282,011,845,508,392,549,533,626,883,883,551,067,294,581,675,420,
153,891,201,695,146,480,647,915,145,389,613,093,356,830,789,560,604,641,631,
429,477,808,697,619,735,161,728,799,638,449,746,362,982,898,794,653,564,985,
685,181,187,771,113,052,287,947,328,939,898,997,188,406,008,501,202,631,624,
551,648,157,971,093,113,201,840,069,070,768,579,089,784,682,119,322,250,571,
410,653,050,756,086,716,632,016,557,484,129,564,276,936,794,072,622,572,844,
873,966,517,900,241,089,265,542,428,660,059,257,900,322,971,595,145,465,286,
008,571,883,485,162,585,891,232,994,362,727,624,213,974,676,433,700,036,674,
606,738,415,851,235,239,772,665,537,032,217,862,793,032,044,017,634,598,475,
033,024,915,417,603,777,190,611,769,405,443,469,052,179,675,324,115,694,332,
678,406,356,273,565,348,311,887,051,628,086,715,804,764,060,930,205,066,064,
266,390,858,534,733,396,504,172,088,671,765,608,037,223,687,669,884,166,286,
418,011,447,031,615,232,617,176,216,498,590,459,020,712,482,378,220,154,328,
946,653,917,701,277,070,811,495,317,545,507,340,574,268,612,959,700,304,675,
442,498,834,130,984,818,960,870,630,120,377,129,507,737,900,494,625,262,471,
495,138,041,288,369,761,723,481,947,682,235,166,883,300,207,619,734,318,172,
643,342,973,589,781,508,578,761,425,640,474,738,402,641,157,530,900,173,794,
882,437,658,632,945,344,689,507,270,014,958,596,441,175,715,563,822,360,096,
528,461,543,496,141,545,537,901,509,918,731,751,474,992,463,428,362,985,777,
295,440,268,075,128,587,324,708,540,601,888,396,207,820,833,285,202,803,586,
726,034,801,092,525,054,269,798,406,816,724,253,283,325,260,107,577,639,648,
340,301,462,143,447,258,450,646,075,036,054,432,158,853,071,008,742,237,224,
650,331,195,626,251,656,591,090,550,919,142,253,073,217,429,416,826,419,704,
684,112,698,835,662,692,654,389,314,423,707,002,018,757,393,001,152,651,297,
248,434,009,018,722,057,211,198,603,854,197,610,672,897,326,253,950,106,125,
662,477,579,280,652,510,714,272,362,174,491,843,640,118,802,359,913,303,470,
904,426,885,710,828,261,488,714,842,754,600,649,854,425,523,206,275,408,234,
526,508,062,641,004,522,981,218,528,657,087,804,625,695,224,850,899,711,916,
033,393,999,719,039,160,305,481,823,518,179,261,170,023,529,848,426,531,358,
489,482,533,689,409,062,806,499,204,484,638,925,494,762,394,213,450,521,777,
005,893,361,538,479,840,385,829,152,974,373,469,313,946,744,297,135,014,770,
386,634,102,949,741,278,079,785,905,012,233,500,204,403,892,022,264,742,512,
826,855,969,006,356,762,704,798,201,032,507,956,352,595,826,346,021,586,323,
523,674,218,105,755,080,305,921,239,882,813,177,693,672,876,118,091,707,791,
874,487,172,843,649,481,777,590,061,497,365,040,872,138,308,103,418,524,752,
636,120,822,695,746,779,243,860,320,614,753,867,843,800,458,757,676,657,504,
819,476,935,833,962,277,203,645,540,330,483,598,725,328,055,124,897,121,553,
647,161,149,077,995,978,520,612,985,992,303,420,092,650,701,297,489,439,189,
381,585,197,093,920,069,781,384,491,423,960,901,237,454,220,915,349,449,706,
932,929,847,826,206,476,625,956,465,524,268,308,003,331,800,081,345,147,189,
119,726,380,514,582,283,408,887,436,254,803,776,324,248,033,360,483,551,832,
196,707,626,943,619,901,225,878,933,628,085,997,243,167,580,711,534,649,367,
928,228,551,619,400,234,811,511,648,301,038,420,918,756,442,826,436,133,414,
362,350,093,085,012,375,302,994,793,925,669,632,763,262,866,718,439,054,308,
047,577,230,430,626,689,776,274,972,023,289,582,662,355,736,750,981,558,840,
270,828,853,818,784,882,893,151,939,513,321,180,886,643,713,940,918,642,190,
755,050,500,785,304,343,004,996,165,194,293,279,262,395,794,458,293,100,008,
922,176,567,367,873,579,196,714,780,055,930,845,173,189,187,915,213,674,118,
582,268,843,152,160,249,398,373,004,738,098,724,328,958,071,353,258,285,697,
699,110,337,769,879,612,706,969,360,811,283,691,182,586,431,102,466,047,474,
873,527,166,442,058,883,420,027,229,146,436,380,285,469,459,280,548,890,288,
266,166,378,141,185,339,529,041,293,181,542,102,664,011,075,323,452,153,354,
542,534,382,833,088,099,061,568,522,641,910,946,328,637,078,644,214,054,211,
970,078,380,283,345,372,144,753,924,598,655,461,462,119,778,767,562,107,366,
595,795,182,349,978,932,412,621,540,146,650,459,120,682,359,221,293,818,119,
788,466,360,962,255,503,014,695,410,916,158,193,966,940,478,728,853,169,848,
674,433,839,781,391,778,287,111,164,181,591,421,975,497,252,672,106,346,610,
606,636,555,205,782,298,177,910,051,810,345,494,010,174,601,854,525,959,872,
160,542,654,776,919,728,241,521,004,842,095,657,593,784,837,866,474,838,120,
194,995,919,836,845,037,753,930,554,767,731,710,295,650,259,403,996,621,675,
336,572,106,460,033,940,640,534,424,199,462,281,685,243,814,957,986,094,427,
363,511,094,136,763,150,198,170,100,670,244,643,778,701,830,149,235,934,036,
304,954,832,237,487,446,911,198,715,273,069,346,822,463,856,003,451,517,339,
887,145,541,160,987,197,712,516,098,749,634,853,612,794,241,964,123,979,590,
785,684,547,534,643,108,550,130,379,249,603,047,924,298,123,053,723,220,220,
107,761,642,868,483,337,625,716,220,310,117,995,435,100,475,771,989,690,234,
212,375,615,832,887,438,575,512,739,445,618,113,148,617,802,079,969,319,674,
990,389,255,194,517,748,451,362,175,225,926,339,166,057,355,711,239,690,142,
577,663,479,599,388,090,390,930,792,813,864,161,798,728,408,487,536,964,221,
349,486,658,935,053,790,861,077,659,329,772,151,195,417,194,624,737,105,930,
044,505,307,716,803,202,516,106,475,669,421,127,390,182,178,022,861,476,411,
636,338,475,009,593,336,069,485,588,071,815,283,444,986,925,523,954,226,328,
223,628,834,576,445,659,841,156,209,446,970,684,154,372,420,641,235,179,989,
268,805,635,420,039,403,346,488,598,707,886,316,283,352,277,836,075,080,332,
886,796,321,455,310,279,974,494,406,276,710,324,534,371,956,274,177,055,583,
500,053,185,827,397,926,431,081,008,161,536,733,844,640,496,952,740,582,964,
726,160,834,368,935,167,219,507,603,603,776,706,191,223,528,380,989,784,470,
124,434,520,243,758,091,627,833,752,440,165,356,831,575,103,012,426,029,684,
010,125,353,921,304,450,768,180,925,239,514,939,738,438,996,707,596,699,503,
010,153,037,430,946,889,015,527,875,017,204,084,981,274,933,765,355,249,720,
701,370,832,838,226,196,653,450,831,782,644,586,439,246,133,184,606,666,514,
516,009,088,123,634,699,373,196,215,926,055,797,906,767,005,349,712,370,158,
673,788,081,768,629,529,038,478,852,830,681,784,864,712,833,432,855,482,917,
925,092,311,221,581,859,562,859,921,741,065,756,524,297,527,537,071,981,413,
912,215,751,623,941,168,729,235,730,220,735,943,876,105,065,975,602,422,001,
782,696,287,722,816,670,861,867,396,970,018,351,482,211,324,823,820,971,045,
061,351,302,269,778,270,691,704,773,406,515,993,309,167,263,470,817,851,643,
645,869,372,998,459,063,504,601,212,207,904,558,975,149,903,457,970,559,546,
284,722,329,242,609,188,313,872,536,908,783,828,810,784,167,225,125,967,863,
927,003,218,457,080,972,599,775,241,150,283,582,852,509,178,130,700,721,976,
938,864,362,138,886,383,846,695,764,306,574,370,520,997,329,552,080,293,434,
650,655,684,384,143,444,981,761,587,181,084,137,380,461,595,113,556,205,798,
170,167,641,729,146,677,235,514,947,360,617,011,914,257,296,370,833,362,143,
175,866,049,364,829,826,223,391,762,288,380,238,750,009,160,945,797,966,352,
759,149,976,691,896,024,212,527,644,484,637,527,641,344,185,123,589,025,107,
595,419,594,955,693,506,387,521,382,121,117,282,716,165,750,476,285,261,964,
399,152,324,702,630,233,630,804,695,727,406,682,683,678,024,962,425,458,813,
530,032,227,485,391,561,924,237,447,800,233,014,310,299,728,036,764,892,826,
747,846,009,664,704,136,547,252,074,280,481,987,977,864,701,965,348,016,219,
454,484,564,160,403,504,983,491,518,069,413,616,614,606,221,162,334,247,591,
427,662,421,452,299,151,278,712,192,721,349,341,256,532,951,725,067,909,051,
167,256,897,544,650,605,866,714,624,815,589,580,130,655,482,156,241,423,545,
566,173,912,536,852,266,099,162,646,374,164,724,305,419,531,355,868,722,673,
684,224,264,899,893,743,618,893,928,575,168,214,691,742,274,432,814,029,654,
024,090,787,623,901,932,704,623,073,350,077,438,853,088,633,174,888,220,675,
935,133,764,277,077,510,587,554,647,394,203,622,612,704,833,531,798,140,230,
100,325,157,903,258,679,775,363,530,586,003,663,753,337,919,175,534,778,021,
069,066,745,529,456,619,512,458,920,633,518,170,690,534,299,238,242,687,043,
968,543,993,414,695,264,910,770,480,008,813,512,746,446,347,212,285,088,426,
028,250,157,740,058,029,630,899,535,344,850,815,316,922,522,735,106,563,856,
523,513,563,532,053,514,576,560,257,412,249,259,442,755,636,396,109,210,996,
825,304,183,416,545,796,254,460,467,454,054,870,524,604,288,008,722,319,851,
465,066,905,283,491,801,070,519,165,463,437,418,123,217,873,753,550,244,732,
050,586,656,488,037,330,360,158,332,249,878,492,764,836,981,136,954,532,527,
118,328,046,401,917,144,288,763,301,470,861,451,495,399,101,062,177,657,389,
784,363,087,953,578,868,087,266,645,950,972,498,288,941,890,710,335,031,399,
971,628,688,074,845,291,352,090,720,100,332,733,679,378,168,219,497,936,882,
612,165,109,476,801,828,042,670,187,264,777,361,179,357,499,542,989,137,008,
347,294,348,929,854,587,947,211,560,442,084,581,109,734,645,053,597,725,133,
205,169,700,864,302,991,701,717,614,173,528,682,803,992,168,475,044,131,702,
474,365,030,736,052,634,544,711,478,927,090,428,994,106,750,236,595,138,995,
273,083,738,160,926,349,707,845,305,660,736,550,492,250,211,618,410,394,994,
513,191,750,464,763,098,850,618,202,589,381,786,824,731,558,710,284,643,710,
976,868,239,467,351,737,097,323,422,117,501,737,668,618,771,508,689,448,475,
571,184,308,691,414,588,338,869,705,524,008,834,300,105,066,739,562,341,367,
103,883,469,191,346,567,272,890,445,460,242,792,841,655,457,100,810,205,571,
658,554,714,427,762,441,139,437,646,977,832,948,357,644,762,453,020,623,995,
518,942,658,254,764,975,300,205,300,074,870,777,053,352,307,022,371,902,223,
712,434,083,470,782,170,551,948,118,518,893,453,339,199,635,049,924,614,702,
693,142,787,804,164,758,220,495,295,350,308,027,046,612,229,692,131,587,064,
025,889,298,878,600,040,041,830,558,663,594,032,420,677,270,985,136,690,203,
153,314,019,516,047,914,022,116,993,665,256,957,908,498,858,158,032,616,853,
972,927,957,206,273,550,542,317,179,668,873,719,721,862,841,813,448,403,960,
525,575,864,577,640,896,995,866,954,754,590,894,768,689,821,707,258,829,114,
546,495,646,949,858,287,509,673,197,573,954,525,484,908,672,178,699,918,701,
709,219,620,298,757,568,365,407,709,720,618,396,510,438,861,778,768,783,594,
077,767,125,652,339,964,113,806,693,171,873,139,090,129,024,266,691,028,160,
117,662,429,949,399,950,429,037,184,544,477,749,997,964,530,591,600,460,931,
125,779,499,046,870,403,394,071,088,788,343,573,005,438,696,479,613,903,758,
720,203,604,711,402,636,334,387,953,949,545,689,780,707,748,917,669,028,885,
912,418,489,562,539,552,996,839,608,863,837,990,269,741,960,887,971,868,359,
258,509,777,072,118,738,038,669,256,355,292,943,957,894,112,143,524,398,105,
014,782,252,511,446,583,764,168,655,945,928,621,480,231,236,612,855,593,012,
711,892,880,486,252,885,243,716,922,784,843,757,118,269,168,787,101,920,103,
937,344,462,866,116,470,253,465,321,517,000,578,990,476,831,060,995,177,173,
089,888,413,547,902,636,598,068,488,812,237,240,391,491,607,713,372,898,296,
447,092,725,496,228,473,908,517,167,514,171,961,244,561,618,947,366,925,955,
172,062,405,590,500,948,069,474,429,848,185,132,940,914,814,769,845,605,146,
845,248,816,619,238,762,211,050,249,928,602,565,184,737,118,491,219,037,042,
337,624,625,302,921,460,195,608,700,526,547,649,298,063,797,677,820,423,310,
906,998,443,293,825,724,003,770,266,896,694,263,504,957,198,211,041,094,427,
871,300,273,179,143,732,977,639,011,064,853,992,485,540,046,189,661,562,569,
502,332,647,734,250,175,700,846,079,091,164,652,191,026,239,662,341,133,550,
907,921,759,546,516,121,234,273,146,203,479,517,894,952,741,944,469,201,823,
695,480,137,109,721,183,773,131,360,443,842,839,147,494,241,497,621,569,161,
486,729,414,212,184,254,928,075,096,220,216,237,192,406,258,753,960,434,906,
526,357,239,655,945,051,040,505,732,799,120,957,383,350,220,591,246,604,072,
585,908,338,832,273,711,522,446,517,301,805,983,643,999,660,296,232,234,678,
462,434,058,131,815,932,560,503,672,920,340,120,490,252,616,494,934,620,119,
552,833,710,095,587,164,921,885,067,525,345,123,449,618,844,451,125,353,532,
824,144,959,651,178,491,869,791,319,188,398,908,709,141,506,682,924,001,870,
660,967,356,406,756,871,076,789,320,554,724,092,693,853,296,257,978,857,628,
447,947,314,172,069,758,065,151,953,175,933,823,604,632,580,436,379,617,502,
581,073,656,662,033,392,013,305,963,027,168,945,954,764,660,578,038,558,861,
282,049,420,467,800,138,772,304,308,861,931,143,916,943,410,213,337,503,070,
934,983,866,550,635,594,989,528,922,388,745,708,282,862,639,853,909,126,457,
101,720,976,973,901,279,128,021,063,592,989,187,225,854,076,279,745,204,240,
157,169,751,354,749,038,192,877,671,207,656,692,725,659,190,031,461,754,497,
643,401,450,781,345,236,951,329,475,430,261,018,008,879,368,130,143,341,624,
432,272,621,472,085,234,959,295,771,127,566,882,918,247,808,587,186,975,492,
797,597,518,629,273,393,463,301,546,375,408,991,611,868,602,316,740,384,734,
323,059,173,672,249,871,386,604,711,104,788,909,825,764,922,578,694,736,313,
327,824,515,192,098,756,677,238,450,577,090,879,345,006,701,890,953,705,159,
481,470,263,728,482,099,336,929,662,680,376,041,730,892,566,807,656,878,556,
510,240,304,499,743,058,162,519,787,952,560,539,661,073,011,698,822,787,140,
854,867,197,540,905,260,058,948,390,013,990,401,182,074,828,594,232,095,177,
724,223,668,750,317,755,484,786,355,991,125,853,717,687,341,710,590,224,929,
085,793,601,729,683,162,562,917,370,206,025,370,050,592,428,282,971,647,711,
573,915,644,824,275,589,467,038,395,001,776,303,527,933,887,178,694,347,258,
702,562,418,730,843,395,666,935,746,824,927,482,952,895,117,499,001,300,945,
367,095,302,415,840,887,707,187,689,290,376,297,688,383,277,822,085,666,792,
447,182,496,848,312,491,702,871,081,722,303,427,965,436,451,018,455,656,033,
859,276,291,104,138,900,745,600,835,666,247,928,316,826,881,952,589,027,030,
543,968,707,056,299,392,662,084,493,106,601,090,418,101,574,172,983,864,843,
762,702,451,625,802,127,256,159,126,530,860,066,606,809,619,891,262,532,901,
433,729,770,295,555,460,334,273,294,762,113,559,344,516,520,545,501,846,351,
718,746,779,309,434,018,875,598,818,939,446,205,873,858,634,004,961,557,057,
279,964,424,733,080,062,253,537,449,148,505,745,004,308,183,077,885,157,346,
808,306,571,605,867,644,019,410,924,399,721,402,940,054,611,681,263,274,335,
942,199,661,288,526,613,452,753,810,660,053,059,583,229,062,593,767,673,129,
826,612,425,887,436,200,622,452,993,539,157,448,031,703,383,342,004,947,460,
228,219,265,612,295,620,997,379,908,889,691,037,225,022,415,935,937,198,562,
322,172,526,899,994,010,317,736,211,146,799,615,388,139,553,468,139,564,743,
159,757,980,983,789,218,252,253,116,069,406,515,227,050,399,759,459,286,704,
268,054,956,220,462,299,022,691,461,127,071,300,357,765,146,875,007,490,438,
631,793,910,607,150,707,489,243,066,748,961,960,716,508,320,638,469,898,375,
048,203,093,380,533,244,852,027,358,338,734,619,717,247,037,012,684,212,063,
731,142,430,823,093,084,369,028,380,020,565,392,125,283,215,991,394,474,431,
472,801,239,312,487,800,187,582,832,172,766,859,836,363,846,577,660,238,822,
688,957,134,049,315,868,418,511,273,126,957,284,216,477,794,515,584,591,563,
074,633,857,647,772,345,019,178,340,480,450,258,972,059,063,033,193,997,039,
038,748,207,150,634,095,277,253,560,361,642,946,378,025,239,967,745,630,424,
085,589,994,162,414,261,326,585,061,803,248,859,007,007,857,840,279,703,681,
208,496,797,386,725,678,852,548,586,431,731,711,348,059,851,767,485,614,950,
759,378,450,106,958,415,480,962,203,983,040,161,940,295,764,995,715,502,896,
855,289,264,086,338,131,508,769,862,692,624,400,284,772,037,539,372,842,811,
558,779,409,198,577,352,534,296,783,687,269,301,986,206,258,157,677,651,104,
040,097,498,654,669,061,244,976,343,227,150,857,332,556,035,028,684,447,967,
231,821,154,326,291,773,970,129,367,612,488,900,242,921,635,618,380,046,823,
669,428,230,498,949,322,682,653,785,301,362,721,602,015,761,857,051,338,516,
718,638,388,420,343,113,029,674,243,868,941,831,342,329,906,272,537,373,964,
723,491,373,866,594,521,787,969,541,727,363,662,940,581,668,418,045,501,551,
807,861,505,670,148,677,114,280,328,136,997,240,077,634,553,886,973,818,090,
034,127,858,768,834,905,300,694,148,368,621,477,691,649,439,745,115,691,744,
064,576,704,024,694,692,754,552,801,661,366,127,965,074,449,350,324,499,029,
926,512,909,875,777,017,971,938,937,635,336,284,566,240,215,885,712,544,944,
822,017,258,066,183,523,333,205,100,788,930,511,788,455,695,239,150,136,346,
940,041,052,106,620,888,394,675,986,984,527,747,406,390,825,625,186,611,520,
812,530,002,932,324,247,723,388,976,304,991,870,758,853,867,186,707,875,152,
812,025,179,589,420,437,782,405,945,525,242,371,110,394,327,621,896,349,149,
039,189,928,715,793,616,039,783,654,284,255,273,993,260,125,171,664,114,606,
439,438,291,617,261,810,760,058,542,510,493,977,662,419,035,653,382,006,725,
456,487,212,471,661,872,475,450,373,737,985,099,245,521,049,259,299,580,771,
528,165,802,525,803,848,110,484,252,538,367,370,723,375,834,127,423,594,195,
874,469,942,086,552,898,647,724,849,148,146,435,684,266,669,395,852,280,079,
184,122,495,914,559,563,887,080,011,096,932,880,163,135,011,529,226,502,725,
919,577,571,541,409,337,443,862,963,383,937,334,825,183,534,510,593,898,039,
346,002,893,283,170,948,210,116,106,257,396,613,274,740,193,584,509,267,767,
452,398,795,007,797,475,613,225,905,400,107,797,307,410,963,832,996,705,049,
476,562,358,010,879,579,800,928,747,180,946,281,538,857,636,544,913,608,526,
292,729,989,203,445,573,830,498,876,223,802,830,010,127,242,406,519,508,367,
833,110,212,534,214,659,453,082,387,685,770,608,006,382,701,444,021,954,405,
710,904,406,642,137,714,224,275,209,483,209,682,292,905,801,364,120,762,842,
096,713,594,346,582,708,040,701,152,411,571,386,740,282,746,344,712,839,349,
426,204,471,635,452,868,356,485,421,558,850,593,039,002,095,135,465,315,726,
712,903,903,235,867,804,260,178,043,411,677,258,321,676,677,108,946,762,514,
863,025,369,646,900,633,554,678,824,463,423,298,539,891,108,501,803,277,642,
235,152,156,617,432,146,994,159,586,196,505,045,669,727,933,676,062,369,667,
936,363,536,724,404,314,622,183,237,350,119,344,076,713,993,466,881,038,426,
762,512,537,710,767,512,793,902,636,242,293,973,256,873,376,573,198,145,903,
017,653,998,650,308,223,892,524,199,405,022,444,130,058,361,904,881,018,719,
135,364,107,654,670,701,861,112,289,125,855,983,059,726,138,165,876,449,870,
111,088,437,125,332,568,767,414,206,778,888,482,232,136,955,079,141,335,634,
081,159,275,507,226,276,238,199,364,464,938,216,153,972,022,733,826,297,358,
954,672,218,569,734,104,281,611,471,847,629,448,707,069,722,264,996,228,967,
677,322,216,863,695,182,284,540,224,359,343,971,609,415,598,489,257,774,916,
469,092,643,559,995,474,507,300,846,323,089,460,520,780,510,882,965,080,925,
379,344,503,680,356,778,300,539,211,362,396,084,683,843,889,744,489,753,212,
789,369,640,882,018,968,551,493,127,557,923,238,605,542,135,179,857,400,758,
069,020,447,147,490,847,343,604,649,250,305,802,625,722,548,231,769,548,853,
446,059,451,377,089,653,729,282,874,989,992,637,380,378,782,468,816,365,583,
702,668,824,227,254,174,053,290,935,712,392,857,143,554,439,967,963,295,107,
484,274,001,059,586,125,268,691,952,710,453,700,921,070,144,628,630,843,644,
713,601,494,882,832,233,434,877,277,073,078,982,057,764,336,716,708,490,792,
437,096,881,852,592,347,830,407,639,535,606,867,698,478,274,320,103,338,286,
014,001,539,009,540,279,605,747,697,753,991,086,556,031,423,746,558,709,343,
787,465,863,445,503,423,451,780,653,794,987,613,112,560,265,306,100,019,796,
367,526,380,781,168,588,695,719,037,417,659,242,126,477,563,212,255,602,739,
869,294,697,220,121,204,334,890,698,052,994,801,172,975,740,580,152,481,416,
674,988,605,341,200,319,173,667,983,368,305,996,666,315,776,673,897,608,964,
157,914,184,599,639,233,061,065,111,720,428,934,957,734,180,020,408,486,180,
722,385,050,159,805,976,645,734,944,070,467,240,681,099,961,113,092,512,589,
463,954,572,544,906,493,223,214,212,626,718,927,591,661,524,179,025,365,351,
124,825,053,569,335,789,231,447,307,886,062,981,006,009,339,246,827,038,853,
801,497,420,138,025,988,225,356,155,127,999,915,722,245,720,247,118,039,061,
192,746,742,173,864,255,465,134,152,119,884,883,168,972,796,562,130,009,625,
988,745,794,127,286,992,617,528,836,293,563,984,778,928,271,115,420,782,189,
670,187,254,058,038,183,510,607,101,152,204,050,951,869,556,702,643,316,151,
251,632,978,026,734,266,819,965,294,757,222,266,625,060,062,549,620,819,091,
211,052,848,478,182,799,481,660,089,147,709,147,576,484,289,903,695,014,768,
127,787,851,388,469,534,676,969,795,966,228,372,895,735,893,747,880,043,468,
578,289,210,487,980,742,104,955,941,692,106,377,973,964,145,265,325,451,252,
953,183,775,246,287,222,087,911,291,783,582,823,197,422,882,719,375,157,216,
048,163,085,125,403,946,308,923,918,312,037,091,040,908,094,857,380,886,523,
075,799,939,730,548,238,160,130,110,031,281,730,026,575,966,033,965,419,278,
905,136,427,627,939,939,159,388,337,369,746,676,367,660,807,164,147,155,864,
722,765,773,963,377,919,567,196,059,756,614,502,426,519,117,828,848,873,844,
207,988,938,997,736,695,758,375,495,350,309,111,937,391,591,437,562,145,201,
961,613,986,744,231,298,555,615,157,794,251,220,508,862,468,796,080,729,009,
816,486,331,563,532,449,699,528,473,345,698,139,907,717,761,591,641,339,869,
896,587,052,658,921,970,699,120,604,079,288,998,381,051,913,288,092,179,733,
265,291,083,397,666,277,434,203,219,363,037,928,835,712,960,019,430,154,052,
009,806,220,770,496,972,955,838,231,295,061,465,916,254,888,402,305,345,344,
300,809,162,506,698,236,447,984,204,142,805,754,505,674,401,021,719,580,687,
479,117,537,244,425,736,873,221,119,398,709,724,249,911,811,553,862,499,313,
803,958,181,484,539,971,565,045,508,247,826,865,857,877,613,168,602,359,937,
076,563,816,786,991,957,924,814,628,116,892,469,213,888,958,874,716,629,684,
749,786,369,647,961,589,303,266,204,213,418,348,624,013,682,867,940,804,277,
822,874,544,140,375,120,545,658,095,088,654,106,830,973,710,483,477,532,830,
324,001,998,791,099,659,106,088,972,385,066,051,574,516,969,591,338,350,557,
624,303,949,219,235,433,940,516,135,245,754,298,831,440,076,218,461,240,710,
820,868,476,514,084,777,971,652,647,005,515,257,169,217,397,906,034,831,921,
811,104,653,167,062,648,680,630,954,356,161,060,803,591,815,817,958,057,690,
229,870,621,518,426,862,821,242,382,774,005,936,034,181,902,486,248,320,905,
051,776,480,042,644,766,004,761,174,920,202,956,941,048,578,719,142,130,697,
995,195,808,158,574,423,139,610,908,641,011,285,768,404,495,989,055,108,771,
188,409,170,070,439,454,950,583,557,725,150,840,375,255,678,947,223,552,728,
225,314,528,312,159,586,164,644,425,664,925,625,572,579,030,353,640,661,978,
673,790,379,454,245,897,686,090,406,181,176,657,944,619,698,534,311,804,913,
879,578,578,134,780,831,292,544,361,200,066,261,364,724,213,386,156,310,913,
459,891,447,069,495,551,762,153,835,481,130,016,893,961,183,103,257,937,853,
547,619,672,432,275,440,803,040,711,216,063,902,658,562,429,357,869,154,873,
446,336,556,629,160,966,110,719,508,191,827,474,149,326,425,672,140,516,079,
561,166,963,457,869,372,593,831,841,999,460,182,931,220,501,575,159,654,711,
060,191,811,474,922,508,195,314,860,191,265,839,677,235,430,199,992,512,409,
671,058,859,962,140,121,291,497,808,081,703,558,722,924,837,187,032,503,795,
425,895,050,133,411,377,105,577,859,815,107,330,823,685,752,793,986,178,918,
118,466,911,791,563,209,876,194,663,892,657,756,126,827,161,916,228,062,457,
116,795,176,891,225,024,368,359,387,281,500,981,759,450,427,839,801,334,977,
714,284,775,986,860,069,035,203,874,768,492,277,605,590,191,179,875,879,132,
895,936,187,532,398,624,099,221,352,089,773,075,043,593,786,339,612,026,633,
423,911,067,620,567,889,776,808,705,267,014,263,961,077,435,612,875,888,315,
107,804,720,586,996,017,256,800,998,016,365,697,273,551,224,614,264,158,372,
067,660,745,725,581,485,791,799,267,283,471,761,147,144,896,405,931,070,037,
667,299,014,809,981,681,640,450,760,704,862,462,765,313,260,079,589,875,389,
027,755,702,678,348,681,276,383,928,487,117,715,458,260,075,910,341,177,601,
658,091,603,221,180,001,738,123,586,429,915,163,561,160,047,525,074,172,940,
783,186,374,715,168,361,890,272,918,045,083,486,890,547,729,166,070,245,267,
817,297,360,938,205,219,230,279,878,316,420,845,044,323,483,055,633,315,897,
063,052,610,138,821,339,934,757,564,081,356,864,751,640,376,513,490,629,558,
854,486,287,034,005,543,038,407,051,890,680,997,486,375,475,309,849,825,358,
933,426,052,673,232,582,390,055,186,497,027,932,070,876,861,711,904,107,233,
537,810,689,604,904,257,918,370,688,351,581,090,293,792,043,909,702,936,788,
757,944,052,362,925,562,390,301,304,185,873,132,685,582,930,102,525,788,167,
205,454,648,454,757,007,543,064,011,926,525,249,967,045,907,614,210,185,738,
762,431,172,217,189,512,222,859,145,623,807,911,508,983,524,175,910,447,648,
164,615,790,126,339,574,418,100,642,957,609,033,712,046,046,106,627,950,494,
400,143,269,107,128,431,611,076,939,196,260,976,728,208,823,296,031,246,994,
311,945,007,534,430,327,071,313,235,282,891,763,896,132,710,018,806,098,712,
983,673,921,655,135,705,810,947,321,072,063,794,616,190,884,571,202,732,501,
953,598,807,826,163,034,042,065,119,681,866,756,548,781,590,185,964,928,002,
688,671,080,150,421,607,961,407,719,956,388,616,183,529,972,534,837,860,004,
742,494,165,001,081,482,685,592,026,631,034,349,452,817,810,208,328,019,195,
056,577,687,668,122,205,401,028,114,203,544,631,012,192,507,262,087,077,981,
740,514,706,725,861,547,123,713,356,951,295,941,241,615,236,513,298,444,688,
428,576,029,926,145,509,613,722,356,057,964,172,002,663,068,438,831,690,591,
640,253,284,655,393,861,201,541,359,157,748,767,686,768,174,414,285,362,719,
149,119,759,352,773,459,310,758,260,914,350,290,049,990,951,967,658,741,944,
661,136,607,474,798,885,728,115,353,140,285,534,843,476,958,123,711,055,840,
538,550,043,885,411,494,436,333,908,484,639,590,396,529,289,016,147,664,031,
255,880,948,973,185,129,486,215,079,057,338,750,968,741,963,767,966,600,413,
245,981,917,714,136,675,990,513,652,212,975,866,090,477,362,373,729,935,474,
265,143,303,586,379,874,406,802,081,799,572,904,513,478,646,250,703,582,623,
384,488,353,584,786,197,557,132,037,484,228,345,280,869,675,330,505,097,695,
095,528,464,261,756,391,035,735,322,202,948,389,787,269,524,416,105,256,194,
574,297,653,898,662,559,023,340,994,675,902,026,090,407,693,495,830,029,186,
877,022,780,047,736,347,350,584,176,065,070,356,561,776,069,356,551,304,091,
058,793,830,436,834,481,772,193,588,959,422,818,259,841,558,730,095,782,048,
376,337,584,920,282,673,283,898,290,766,329,352,714,996,904,765,635,480,581,
841,201,370,470,460,967,506,333,554,150,509,261,886,827,148,434,291,422,714,
787,468,104,113,609,217,704,064,346,483,341,442,960,056,025,564,774,943,211,
925,028,439,816,189,807,745,929,939,624,724,837,125,227,282,854,639,253,635,
373,910,913,641,295,649,103,577,284,061,702,896,598,150,560,104,932,562,634,
630,683,600,780,811,311,163,972,530,990,128,940,640,565,103,059,385,877,515,
800,100,122,404,792,470,611,529,669,278,011,198,655,526,012,197,668,159,842,
215,000,530,669,511,008,970,935,678,079,777,348,291,373,961,444,274,363,647,
205,346,502,479,030,293,169,263,121,337,604,561,342,198,151,117,313,465,549,
304,341,253,133,582,095,570,341,643,358,237,298,828,131,028,256,725,279,720,
101,091,544,200,571,335,459,063,222,253,533,370,338,885,180,023,833,857,476,
377,248,745,728,540,653,634,794,085,548,938,439,766,148,739,340,950,137,269,
754,710,413,192,791,993,107,069,292,313,448,402,679,538,526,656,211,348,785,
557,743,926,184,884,525,485,395,438,155,270,523,205,830,205,038,530,921,863,
697,723,290,114,500,125,432,238,986,599,575,987,087,298,667,799,672,596,924,
395,154,800,096,329,310,684,462,206,738,859,890,969,298,337,568,602,248,459,
348,147,763,799,169,486,741,276,798,047,986,629,717,119,899,960,857,247,388,
416,812,737,366,736,283,570,026,234,316,387,638,533,244,491,565,844,754,780,
328,561,105,650,692,527,778,182,890,836,126,691,766,586,857,136,301,855,876,
573,892,745,542,950,946,077,752,769,555,706,697,557,083,417,603,427,535,834,
625,893,988,661,549,122,302,684,831,879,176,379,843,593,231,527,754,896,951,
281,367,746,201,148,196,667,187,858,000,827,692,699,346,517,816,997,581,477,
987,707,784,683,393,483,440,644,570,948,055,715,294,429,079,060,020,101,447,
043,702,002,919,391,567,678,484,713,851,168,257,463,923,217,393,020,179,421,
248,958,846,470,668,401,327,043,842,917,189,809,662,695,278,104,282,449,155,
284,658,018,121,153,330,695,224,183,916,700,586,541,508,766,856,894,738,936,
070,335,440,355,654,685,134,773,302,304,602,568,415,500,173,934,494,569,647,
877,687,340,933,614,460,287,207,114,665,381,049,683,025,261,145,155,945,830,
713,356,618,647,646,212,905,984,863,597,071,095,619,044,506,552,239,362,310,
767,051,548,854,753,892,432,305,214,341,690,906,617,128,958,244,235,376,165,
108,184,264,409,317,640,418,924,381,053,104,786,590,372,450,924,552,512,980,
657,567,795,440,529,836,827,567,100,267,301,405,107,986,476,465,896,192,331,
903,456,809,400,925,470,807,241,992,148,246,555,249,309,026,123,054,887,179,
265,066,253,411,425,888,601,435,110,887,574,695,453,556,310,967,360,624,470,
618,275,783,299,188,271,982,711,037,371,355,961,790,956,736,297,841,291,597,
052,125,103,240,973,625,111,995,040,307,493,948,410,992,466,767,867,800,502,
195,135,681,968,679,011,650,963,888,192,098,360,818,075,837,182,696,252,577,
749,567,777,276,602,329,202,466,383,262,747,898,089,280,838,460,893,100,310,
121,985,796,672,316,058,873,148,412,440,688,700,324,148,449,218,323,657,430,
028,642,299,677,638,573,333,449,333,102,705,793,062,144,571,558,577,463,447,
469,821,918,416,720,921,740,622,934,810,081,114,843,551,770,247,446,792,298,
445,870,962,930,639,229,527,779,464,683,229,654,548,256,100,128,349,657,610,
771,543,103,249,886,096,443,474,847,761,607,266,874,377,955,339,950,484,928,
337,870,159,897,709,218,794,628,664,785,991,591,033,180,711,346,394,568,602,
587,654,789,782,850,539,569,416,165,252,420,668,989,722,898,173,598,045,375,
178,448,465,279,892,996,798,714,425,272,972,628,206,817,467,416,286,892,116,
772,115,585,041,095,207,985,571,175,145,076,766,360,439,260,398,773,171,549,
286,099,736,746,903,993,829,263,370,908,685,984,052,825,073,286,404,841,891,
407,924,311,407,229,202,843,789,979,421,220,669,838,602,538,269,236,314,876,
143,907,801,402,088,545,989,180,103,534,337,614,912,759,233,933,084,629,267,
622,513,424,743,823,765,583,545,989,265,668,441,412,651,380,526,154,943,013,
701,668,624,444,898,541,885,825,768,591,806,322,132,868,117,999,172,119,748,
997,575,965,960,504,665,465,825,868,296,066,281,939,424,686,283,905,597,068,
793,347,019,723,479,393,497,758,648,370,184,577,688,783,600,306,453,276,910,
292,521,154,560,635,320,248,280,558,844,750,804,157,241,746,599,580,854,525,
730,679,807,646,662,755,424,906,048,709,317,951,279,455,688,249,690,190,566,
886,098,754,670,330,291,960,165,354,489,388,328,980,710,297,552,202,127,112,
123,868,190,722,556,434,056,920,769,663,826,315,439,699,653,342,736,808,148,
504,517,384,348,182,009,872,248,486,870,883,865,290,930,809,811,269,933,982,
018,021,134,434,458,069,525,613,368,647,601,368,727,857,295,226,655,571,337,
213,355,712,104,978,315,337,363,421,814,129,439,072,703,144,086,765,017,574,
396,106,995,354,576,976,376,310,204,239,714,685,030,647,279,342,617,998,480,
764,131,239,862,797,979,606,663,888,878,149,963,819,016,465,699,825,888,350,
264,585,576,026,523,735,882,388,220,587,399,919,724,803,067,492,547,343,092,
677,946,695,227,853,470,929,487,665,609,178,973,767,563,465,329,009,254,709,
288,026,442,195,781,044,227,196,527,497,996,464,685,554,278,372,215,832,402,
797,681,241,971,289,041,024,715,773,296,049,302,112,597,550,456,398,019,458,
319,099,738,351,790,893,236,985,506,678,235,211,990,117,659,609,425,687,450,
233,684,744,270,276,630,648,035,525,661,832,034,878,881,149,796,284,693,627,
469,741,313,881,382,745,126,464,365,908,796,651,805,316,153,236,062,977,525,
652,062,447,475,417,420,599,469,909,467,294,205,787,193,994,222,742,229,142,
690,929,203,800,193,341,840,730,339,990,343,245,700,425,995,296,868,890,518,
279,095,120,504,309,370,406,797,265,689,007,728,620,850,967,554,371,900,627,
947,170,806,337,064,691,010,436,055,348,574,382,906,007,943,180,422,365,583,
461,357,904,422,980,724,896,400,858,870,153,800,016,346,177,847,585,357,259,
730,626,784,234,889,098,321,758,050,555,542,897,078,242,996,653,790,949,427,
298,870,961,415,029,457,208,397,360,780,640,781,214,919,123,406,627,242,241,
474,176,514,319,585,223,034,612,997,032,044,108,948,169,679,820,374,218,564,
109,255,389,684,457,130,581,483,517,183,430,386,433,496,743,885,997,657,617,
468,854,615,591,637,121,583,257,258,139,888,143,636,807,620,133,068,629,564,
928,006,869,061,655,645,990,409,369,272,403,207,682,200,138,970,784,881,746,
510,234,431,166,558,947,624,046,544,368,927,121,475,319,440,706,491,680,493,
022,043,492,385,428,124,189,984,283,151,303,639,207,561,830,013,269,006,191,
340,939,437,797,756,887,751,252,732,987,951,036,500,065,081,581,725,488,598,
533,933,224,470,512,337,911,966,339,675,632,981,924,471,933,463,201,364,469,
554,812,708,108,443,872,737,747,263,018,724,309,464,969,742,877,482,507,695,
969,178,666,211,871,995,388,438,665,499,961,143,310,203,689,755,266,468,677,
616,087,300,146,528,804,368,002,489,004,066,526,232,262,644,979,122,137,327,
278,574,278,893,492,896,736,133,678,840,823,691,715,051,846,932,216,726,202,
823,698,006,138,955,323,176,242,479,270,083,796,705,895,289,765,058,585,828,
268,547,950,830,797,591,394,992,631,354,986,604,791,222,626,777,909,884,041,
545,979,143,637,587,079,770,981,308,575,533,235,644,280,941,499,413,234,496,
817,561,440,397,048,771,111,531,389,661,051,975,524,948,985,243,330,035,960,
837,809,643,143,421,212,694,838,395,744,774,453,722,127,829,467,942,348,662,
642,218,855,112,241,627,694,474,751,567,407,799,103,882,088,982,746,161,834,
515,404,791,335,679,398,900,066,319,885,079,345,408,952,896,277,112,586,151,
788,641,545,032,761,409,089,019,875,262,066,830,524,876,194,659,715,219,259,
858,656,994,858,563,961,113,304,251,649,104,755,171,426,586,476,368,308,343,
947,522,354,889,562,363,720,164,287,262,493,652,021,714,452,548,839,879,981,
268,187,463,753,530,422,589,245,105,835,817,843,001,105,318,261,035,171,133,
472,220,877,742,851,145,114,569,816,580,329,369,298,208,786,331,548,577,164,
244,077,807,195,863,826,117,638,787,126,471,447,954,719,237,887,682,119,742,
391,798,654,844,338,595,971,719,568,025,486,359,789,061,981,100,210,601,942,
484,406,714,313,662,283,113,624,641,189,407,902,436,077,946,244,548,765,525,
292,296,366,233,870,453,243,674,481,534,344,057,273,990,925,813,442,686,931,
823,311,505,435,691,009,371,313,509,279,433,336,783,508,295,988,142,906,875,
953,729,315,216,334,696,025,514,021,941,012,770,109,538,781,791,895,630,042,
673,172,943,174,618,427,287,204,561,640,697,110,127,179,245,448,795,306,538,
588,503,371,503,353,558,436,972,985,200,041,546,462,441,667,182,707,122,005,
672,055,160,825,994,969,855,318,140,658,285,950,414,262,957,015,305,619,499,
560,667,336,210,793,934,568,879,948,485,022,840,088,306,422,946,733,730,205,
295,529,105,027,450,363,433,802,489,945,235,116,522,108,254,572,788,075,434,
018,321,702,958,475,074,800,114,522,569,900,885,211,838,511,940,141,121,222,
324,090,739,645,813,069,038,861,610,998,539,256,321,819,173,949,810,526,324,
649,451,399,949,279,603,055,791,430,584,016,214,875,619,450,319,620,670,797,
874,129,789,351,204,059,759,577,829,466,203,708,845,302,309,837,318,872,014,
429,771,547,813,709,179,410,031,516,069,286,944,976,188,560,500,032,809,518,
250,306,830,250,449,907,445,973,434,375,844,057,340,264,086,731,768,498,827,
619,624,070,368,113,025,109,479,411,501,887,074,455,765,792,195,520,016,585,
019,148,960,282,509,200,196,019,285,178,529,776,515,369,939,890,247,368,511,
939,307,926,666,250,969,676,919,659,825,440,193,282,931,964,549,275,066,539,
602,584,272,679,478,140,986,663,576,816,391,542,939,396,690,542,043,788,222,
566,826,820,424,099,011,593,294,217,069,070,075,198,820,240,516,232,327,856,
281,500,197,975,381,049,906,114,088,770,186,417,585,584,509,196,131,077,897,
581,802,255,174,118,568,041,436,248,743,489,668,352,159,534,346,948,496,278,
327,588,403,983,459,331,439,262,328,896,296,664,652,125,046,116,620,584,282,
871,240,656,149,544,651,475,843,120,612,873,552,001,540,626,626,173,800,887,
785,651,492,801,193,431,924,821,123,622,729,313,908,399,008,641,281,717,009,
754,068,039,916,217,246,712,152,812,829,135,147,412,267,946,972,456,952,289,
228,175,895,683,175,587,089,837,333,265,473,608,225,803,072,672,863,077,749,
449,352,883,775,064,118,297,668,017,487,032,774,460,746,273,241,992,841,855,
954,607,443,836,222,445,291,645,261,042,058,002,784,096,968,757,023,936,360,
183,195,292,849,268,193,095,542,685,238,270,769,803,380,506,180,531,501,818,
468,383,460,445,459,469,751,882,434,939,172,820,610,471,590,630,426,305,229,
547,779,358,158,949,404,302,085,226,911,262,886,708,958,677,504,531,019,474,
279,340,011,527,688,610,004,528,551,945,969,561,126,889,554,861,710,746,136,
910,883,702,325,521,310,613,506,308,327,831,581,908,922,192,571,238,333,430,
259,895,942,152,226,328,159,539,862,185,055,448,926,629,087,784,150,733,683,
955,849,879,296,827,451,682,624,267,170,898,878,880,572,696,257,875,249,304,
507,070,083,060,938,631,702,338,200,464,398,520,115,622,964,675,365,924,997,
270,632,652,876,860,913,745,869,997,672,763,193,474,877,609,727,881,573,323,
957,409,342,460,037,528,917,786,174,589,036,146,276,594,891,037,093,902,180,
644,253,414,741,559,709,315,941,902,994,141,747,014,708,089,011,303,776,527,
929,078,555,187,362,063,603,053,882,938,649,276,122,292,721,948,414,374,246,
705,407,267,253,043,358,316,579,480,058,129,446,517,250,311,242,373,620,420,
247,419,831,255,798,596,758,419,421,987,856,741,756,037,149,354,344,427,204,
832,121,899,195,066,379,647,583,364,238,329,983,097,781,923,207,256,400,815,
361,055,673,941,913,796,917,595,572,001,678,293,861,498,737,641,139,722,485,
379,342,755,588,072,079,916,916,045,472,049,154,071,065,390,198,580,071,750,
020,848,867,368,062,041,522,260,210,342,745,806,116,305,646,527,870,997,159,
607,837,971,216,626,736,547,646,643,494,361,368,327,078,007,781,091,727,178,
669,129,887,546,695,513,257,708,344,266,484,317,874,440,397,041,797,442,256,
733,831,839,506,000,204,934,427,653,810,464,519,331,854,783,939,698,566,957,
676,100,406,123,129,866,763,192,979,835,010,579,912,602,216,459,878,664,983,
147,632,065,777,694,683,970,954,431,875,048,359,328,892,768,238,876,880,665,
336,973,525,856,739,164,877,550,506,806,115,837,209,089,923,111,268,235,101,
924,032,231,244,024,893,642,343,589,223,133,064,737,323,592,208,288,521,962,
274,976,332,080,717,868,326,532,634,501,887,465,846,702,408,034,836,575,749,
369,037,848,357,018,647,031,304,058,607,936,075,115,068,611,144,623,704,350,
943,248,391,567,763,548,215,187,950,696,333,485,704,905,629,698,405,379,107,
381,822,986,401,610,245,848,075,026,557,358,400,893,973,933,139,403,990,825,
803,262,139,408,180,330,907,388,863,826,230,711,452,947,337,026,298,730,272,
534,164,398,225,601,418,462,821,993,658,910,627,397,723,057,097,991,015,510,
853,663,404,140,612,401,270,353,930,498,602,842,195,611,419,642,048,125,637,
983,296,122,398,184,080,760,353,920,256,682,423,908,335,529,471,347,716,610,
502,717,429,286,344,149,371,946,705,593,799,291,074,293,516,728,589,778,361,
103,037,383,839,543,515,517,400,910,027,148,187,148,048,602,172,381,347,933,
782,822,722,961,007,228,711,649,542,389,807,135,001,499,369,607,283,042,196,
192,823,023,388,908,297,768,170,111,156,220,032,434,839,310,911,557,171,389,
615,908,211,374,076,417,996,265,680,581,245,771,798,308,910,154,546,028,767,
651,082,870,784,721,090,104,550,101,492,288,390,908,112,111,196,446,613,226,
328,426,664,260,098,471,125,352,016,007,913,894,054,264,218,516,477,078,697,
567,402,961,233,277,967,159,774,696,640,636,843,553,539,498,915,341,429,372,
103,133,629,593,513,624,311,597,271,931,833,371,289,894,591,567,700,862,922,
646,366,636,339,388,601,220,007,595,735,966,688,792,625,068,934,775,273,106,
268,248,484,237,663,071,735,360,230,423,528,947,285,953,861,003,838,851,520,
481,111,181,477,592,001,344,949,946,609,796,616,718,912,232,393,821,883,691,
970,340,645,621,584,258,014,063,910,418,830,934,919,941,446,354,885,835,856,
388,342,906,862,578,800,915,963,682,983,732,227,011,192,653,535,031,410,120,
320,403,514,322,903,842,001,178,456,876,790,047,992,757,076,921,461,005,699,
830,694,287,133,265,934,760,975,530,382,567,150,331,868,521,513,058,149,212,
479,636,027,756,569,887,606,516,070,132,722,459,885,233,329,996,080,747,236,
969,504,194,385,011,190,017,703,427,869,684,497,756,232,747,843,516,174,631,
446,021,480,063,692,921,445,182,331,582,412,319,181,145,963,194,707,182,360,
362,663,949,763,698,038,256,284,865,957,576,761,228,717,927,512,855,594,852,
211,445,169,254,220,360,476,089,276,976,639,758,816,158,450,119,758,812,514,
656,970,181,052,095,768,698,803,901,685,109,997,958,002,965,326,139,068,705,
499,327,296,889,431,535,791,644,192,132,301,359,909,392,761,828,361,743,902,
733,122,935,772,252,274,040,244,254,550,730,141,937,450,777,639,036,520,175,
126,128,920,832,572,407,230,368,936,803,786,075,624,890,429,565,882,210,832,
088,713,106,399,325,568,643,119,977,248,801,204,014,916,805,730,357,002,589,
570,038,840,168,635,187,533,275,582,151,891,766,648,714,111,472,482,614,214,
647,039,333,180,583,903,525,633,680,267,362,206,217,511,971,187,028,777,364,
657,538,223,152,700,341,114,669,238,618,960,659,859,268,638,659,826,490,804,
456,287,821,416,597,172,886,076,029,210,315,378,320,740,467,738,184,362,159,
495,843,216,140,335,339,740,234,389,051,673,841,047,625,293,291,635,925,645,
360,640,581,712,896,570,832,956,037,447,200,436,785,422,390,027,505,244,676,
465,572,107,966,066,343,650,254,983,450,368,093,103,685,723,166,753,978,851,
627,029,415,471,213,783,882,698,040,690,676,884,468,351,852,824,310,969,773,
084,551,285,277,443,030,522,517,231,257,387,713,672,347,498,935,306,932,709,
342,851,509,384,479,611,978,036,139,087,251,672,218,822,837,216,327,242,629,
897,504,933,833,946,786,449,182,124,575,291,308,236,358,046,735,830,510,966,
729,488,588,360,464,197,708,902,419,805,054,172,514,905,336,164,910,880,065,
082,683,753,922,005,981,990,382,549,783,010,722,378,012,730,040,863,450,660,
591,989,600,043,421,343,027,944,122,110,478,696,980,994,689,093,624,373,101,
032,905,444,793,887,662,332,116,947,062,991,909,114,353,405,561,772,123,112,
123,355,877,852,944,113,525,742,850,216,803,732,215,995,658,793,334,383,991,
090,613,321,461,189,651,992,078,179,440,930,111,597,047,056,342,697,486,331,
095,713,027,496,930,352,075,423,072,911,722,124,354,757,626,255,365,002,670,
310,602,996,325,954,838,964,215,816,033,958,145,800,168,785,064,173,441,210,
272,247,509,778,026,771,215,617,690,723,746,946,884,415,408,443,459,008,585,
138,489,607,558,234,307,780,325,749,200,111,347,917,047,100,500,587,910,077,
763,172,704,454,242,369,925,714,357,990,874,513,449,576,887,005,833,931,332,
188,828,797,030,854,489,668,123,502,948,958,757,294,950,006,682,596,816,027,
202,790,685,397,476,148,003,015,315,113,020,838,419,645,192,819,630,296,519,
807,959,403,644,698,935,017,867,579,750,483,361,716,218,643,571,504,998,289,
736,010,978,823,824,010,889,115,773,997,938,669,418,599,940,021,487,290,083,
356,337,866,956,537,241,399,152,800,938,560,663,878,372,137,730,008,513,518,
303,873,024,452,163,212,252,748,155,427,489,884,104,792,084,792,436,723,425,
824,512,359,758,878,867,402,847,024,040,226,198,294,625,892,284,094,172,601,
572,741,414,211,226,373,916,199,540,805,480,104,327,341,902,821,027,253,910,
359,917,829,705,914,725,006,797,429,927,539,213,559,151,863,389,613,534,059,
369,148,691,323,807,100,654,987,699,015,541,720,555,141,875,226,963,602,941,
078,344,290,415,354,039,470,894,441,816,488,540,034,901,771,057,789,351,049,
686,571,509,636,646,422,338,740,142,578,213,007,008,203,966,251,448,359,162,
447,877,741,375,117,854,154,236,818,015,244,043,653,827,249,426,760,056,050,
209,643,578,307,702,435,776,772,557,433,965,759,672,053,736,473,745,093,981,
486,373,827,642,557,415,745,619,846,181,772,669,246,361,662,556,918,237,761,
358,558,821,905,147,121,548,425,550,287,794,323,722,728,786,018,359,104,876,
461,972,323,582,848,213,904,408,433,604,197,455,798,853,299,895,680,625,772,
724,799,371,127,397,608,310,886,983,859,221,468,110,171,161,626,406,507,861,
543,975,286,607,251,897,390,698,264,734,084,666,782,333,229,527,363,446,147,
130,965,401,990,776,624,184,543,796,880,093,408,029,349,698,332,878,185,535,
400,573,611,910,060,916,388,568,304,695,830,306,575,888,824,129,613,376,798,
325,720,559,172,852,156,842,784,204,053,896,097,242,016,384,889,028,968,816,
335,157,241,488,497,744,034,597,987,434,662,839,889,033,812,197,326,192,001,
806,338,232,324,435,328,185,728,972,259,465,686,173,494,922,641,409,228,771,
279,071,796,501,102,578,973,947,287,078,943,016,110,001,144,909,721,556,758,
632,722,028,010,015,307,158,852,879,264,672,073,702,504,979,227,320,921,696,
511,549,313,864,793,900,730,756,593,246,700,915,156,455,397,601,626,110,149,
325,683,800,785,287,812,267,095,663,548,227,543,039,791,920,369,138,586,549,
925,535,351,096,264,670,702,321,846,780,263,267,211,455,078,053,208,995,525,
807,687,908,639,309,969,266,948,035,493,559,229,124,058,654,401,397,059,607,
448,114,176,530,073,808,361,916,428,754,260,965,926,214,517,916,383,895,637,
444,937,025,960,426,223,345,819,212,344,575,950,951,816,355,928,891,811,164,
115,726,411,282,999,778,453,521,939,531,658,337,079,541,173,443,608,490,383,
093,171,364,903,944,375,522,444,467,727,736,189,107,123,058,043,562,333,242,
408,732,296,596,048,045,181,905,111,667,352,300,535,343,073,701,152,415,685,
609,313,318,977,531,229,673,973,800,034,578,691,334,562,886,516,308,046,331,
882,684,315,349,895,789,147,110,240,335,344,526,180,890,490,823,876,851,951,
975,175,075,520,420,254,404,123,756,537,796,517,703,445,663,361,496,775,945,
603,352,042,752,815,215,135,740,557,181,243,478,864,309,707,142,587,330,644,
112,806,230,153,326,307,918,893,929,643,566,242,728,465,899,496,368,523,879,
509,058,169,202,592,534,969,314,437,723,664,880,396,895,966,743,593,434,543,
784,314,193,442,417,178,676,755,093,553,577,300,020,564,257,501,667,806,758,
223,518,238,769,295,640,108,143,661,547,771,112,665,431,888,683,473,076,252,
477,543,920,887,013,396,127,363,096,729,707,993,092,005,867,831,406,864,426,
702,133,624,490,689,435,434,316,441,282,490,986,937,686,630,264,103,395,194,
620,942,160,503,955,108,928,562,868,083,962,196,527,965,725,958,657,170,731,
195,422,533,160,198,121,560,803,664,797,302,654,504,323,321,533,710,396,344,
425,671,169,229,202,841,738,275,116,965,191,045,076,007,373,077,011,132,912,
341,868,905,748,768,821,346,990,083,994,950,236,037,710,181,336,296,175,029,
553,016,648,051,253,644,781,013,303,380,470,998,619,681,825,471,535,479,464,
727,344,307,558,796,799,557,518,323,753,858,403,497,607,384,125,031,232,811,
190,405,701,056,963,759,822,183,505,233,735,193,068,326,347,461,274,106,938,
167,493,424,464,386,207,502,786,080,297,800,986,098,860,159,322,056,324,393,
950,607,930,300,723,544,434,991,193,930,843,339,814,476,522,475,772,314,489,
264,991,812,486,774,630,421,175,899,080,886,000,912,484,295,323,503,790,396,
150,329,452,960,318,993,771,823,378,193,791,006,347,844,824,738,049,667,556,
469,710,580,485,696,517,493,736,944,463,291,827,386,174,817,306,296,166,811,
078,552,963,058,696,464,718,826,423,939,929,153,534,967,115,603,938,723,729,
522,101,974,146,066,350,181,629,179,229,421,679,476,010,259,537,450,643,531,
487,658,589,224,265,159,988,941,117,540,580,223,881,967,062,570,402,431,884,
771,194,408,833,108,140,321,440,352,904,187,145,877,194,357,652,021,262,601,
997,359,336,079,915,739,426,081,887,727,071,888,789,226,436,403,751,326,319,
235,471,816,489,147,724,304,492,564,283,959,388,772,050,737,976,347,725,871,
154,931,961,326,945,013,170,000,146,268,355,450,268,044,898,963,177,176,339,
112,370,149,585,381,738,859,219,068,439,016,905,713,492,695,920,206,586,720,
919,397,830,563,581,183,725,124,922,021,570,634,591,717,376,788,599,719,764,
351,560,636,444,291,819,711,691,912,665,628,152,331,055,883,721,075,803,852,
344,252,687,698,778,197,724,820,894,855,126,094,637,391,710,717,428,186,746,
217,680,059,132,760,678,818,554,416,027,154,844,191,391,540,634,784,661,672,
169,552,936,688,251,843,607,232,044,764,802,346,661,770,405,759,379,109,176,
024,196,483,539,687,466,153,888,590,842,022,006,576,246,578,289,263,493,323,
729,991,508,246,981,728,877,157,209,120,649,410,731,316,449,879,069,306,644,
044,511,349,420,660,533,711,311,801,155,180,468,573,084,730,531,347,033,186,
803,833,256,460,241,853,737,079,709,723,135,846,000,174,619,081,968,703,453,
840,862,963,031,099,478,264,641,858,825,705,360,227,596,014,557,861,926,424,
867,780,599,551,930,365,567,282,977,227,337,481,695,800,602,064,288,583,805,
576,530,387,586,546,077,286,395,728,319,143,950,416,982,725,419,046,523,126,
176,600,353,225,890,570,984,497,747,299,381,294,980,880,259,997,732,442,946,
406,678,962,761,292,929,487,550,906,743,459,457,036,651,943,269,596,740,310,
597,710,735,899,986,789,894,052,405,810,379,945,881,621,483,484,308,278,157,
905,603,602,922,101,192,248,714,235,546,637,472,544,489,483,303,093,878,799,
572,156,093,017,364,645,377,792,805,959,936,033,401,187,170,621,941,790,094,
580,363,329,758,545,613,868,822,499,158,114,721,767,666,352,295,060,697,139,
129,382,322,393,780,480,000,222,037,415,794,561,131,186,752,935,633,831,372,
720,560,446,015,003,118,258,114,577,277,972,180,678,436,417,829,826,060,856,
279,856,254,170,570,327,471,890,492,138,992,175,647,312,893,410,435,246,239,
745,719,540,781,696,255,328,059,951,161,259,898,603,632,804,184,909,324,778,
528,491,901,140,375,596,673,359,569,490,766,884,953,760,139,005,224,345,533,
787,748,808,454,311,488,580,487,176,320,510,709,449,027,383,961,538,724,027,
603,116,924,152,600,937,322,664,595,595,899,692,278,944,409,808,868,689,570,
476,435,799,537,092,879,917,620,135,041,451,879,981,115,481,333,095,514,915,
453,375,886,288,468,213,522,443,298,482,198,122,634,428,289,679,948,659,387,
375,248,353,166,692,529,896,436,394,189,183,055,387,001,019,542,635,298,806,
812,681,120,985,313,556,296,409,904,022,473,873,196,431,335,265,654,573,286,
454,526,533,146,325,491,367,585,573,186,592,441,289,315,055,949,465,074,684,
086,898,114,458,938,978,362,759,656,232,029,722,715,730,626,165,923,511,223,
272,506,517,936,299,140,038,096,637,074,289,260,645,340,045,686,570,416,251,
528,405,357,376,101,432,511,240,065,447,475,760,023,168,362,152,799,820,875,
821,575,722,740,438,045,177,375,963,672,541,737,370,170,862,539,442,961,203,
296,301,586,670,976,788,955,890,303,235,591,303,234,849,650,205,847,616,176,
661,369,477,425,700,030,766,730,927,613,541,834,558,895,545,334,810,630,403,
166,337,556,057,917,461,751,234,415,545,876,447,747,375,831,351,998,059,701,
253,722,727,990,126,693,459,381,494,762,976,018,673,663,005,161,109,188,607,
699,041,729,927,922,670,895,799,905,337,657,139,465,999,180,481,632,590,411,
004,160,051,853,201,451,773,802,690,446,769,230,285,274,002,083,062,955,296,
653,584,462,972,009,411,700,672,030,374,515,583,722,309,027,286,301,177,478,
668,299,630,664,885,856,598,072,080,986,775,942,720,760,101,406,815,882,927,
448,201,677,541,363,582,237,574,283,755,047,801,253,026,791,743,904,762,934,
316,268,876,778,907,841,103,961,359,808,837,711,413,778,572,867,319,573,590,
510,745,970,465,922,054,656,525,096,531,097,888,027,879,090,246,412,091,752,
105,003,976,344,842,942,136,172,085,315,578,205,020,167,562,982,174,686,007,
812,808,089,662,271,243,258,542,406,530,139,537,821,151,786,305,820,589,377,
556,195,262,466,786,174,778,623,931,514,014,638,183,497,257,747,109,102,358,
928,770,316,557,202,081,170,733,124,195,928,013,763,683,729,217,963,550,821,
187,203,426,657,582,540,110,821,434,467,126,656,024,314,779,370,422,228,002,
501,515,308,389,453,364,417,048,499,465,547,103,902,475,658,192,693,953,147,
437,219,126,762,155,516,895,498,068,103,298,401,317,549,014,105,979,085,268,
627,341,339,044,364,630,729,008,490,351,603,142,250,822,001,465,744,283,847,
682,029,216,400,132,540,060,829,868,486,449,018,365,747,085,144,518,185,382,
416,422,887,252,378,066,145,983,932,000,453,461,291,035,100,269,225,717,126,
191,464,178,932,735,096,933,870,864,692,057,288,802,624,200,158,037,156,138,
692,994,608,713,273,259,236,769,958,346,200,481,321,659,963,499,020,054,415,
062,849,054,657,149,028,780,800,775,082,089,830,798,731,779,429,465,069,777,
440,234,130,796,344,062,835,221,530,543,256,137,787,334,438,380,807,976,678,
720,634,756,130,616,066,749,784,838,895,515,683,128,696,899,640,621,455,281,
183,179,006,218,256,505,297,788,343,151,783,521,268,240,270,824,450,477,384,
989,814,546,385,561,321,757,748,805,415,696,233,394,224,465,360,259,392,252,
210,301,083,667,574,064,010,024,488,107,912,025,372,533,757,696,801,255,029,
358,012,065,587,340,813,375,850,092,310,040,599,068,832,801,957,779,487,272,
348,447,319,154,542,403,715,292,794,857,823,061,117,558,236,182,577,755,602,
962,652,413,509,559,638,711,744,502,747,374,326,199,076,589,198,321,081,288,
947,909,881,247,579,486,974,742,434,219,120,412,598,750,642,010,312,129,218,
339,689,697,972,545,230,957,044,018,680,126,768,250,202,648,221,773,374,159,
078,972,056,493,031,676,275,635,898,656,983,386,395,007,485,587,467,258,605,
358,384,190,998,547,950,010,303,923,523,214,127,035,954,501,119,446,616,549,
194,079,403,663,197,648,748,353,275,318,750,815,389,385,873,281,661,549,001,
442,578,206,828,610,564,456,620,378,460,306,599,075,493,621,735,542,832,068,
868,413,415,748,301,258,767,111,697,342,414,682,911,960,885,348,936,999,095,
449,016,196,462,261,940,684,231,729,270,754,306,395,533,863,391,662,830,055,
446,352,859,603,893,197,231,311,343,139,662,459,720,703,153,739,839,524,385,
146,204,903,416,535,246,253,822,781,820,413,771,422,828,275,672,255,898,292,
330,812,306,632,009,491,263,590,911,480,343,438,407,181,769,639,157,534,690,
192,935,388,394,218,421,327,151,087,904,133,332,673,713,109,204,643,312,476,
795,608,014,116,699,154,833,155,350,605,621,869,666,106,137,242,974,058,696,
132,981,396,106,985,922,333,699,073,196,267,422,503,745,392,855,717,712,075,
690,778,084,271,546,203,179,424,260,524,626,489,132,061,535,995,528,334,345,
417,060,406,060,123,114,020,779,570,015,839,731,364,238,606,150,802,958,323,
947,989,860,646,215,547,806,116,602,679,523,041,885,322,577,788,758,363,176,
434,236,730,399,060,548,733,969,058,178,322,892,177,204,115,939,882,076,711,
471,156,070,735,515,539,109,673,535,634,146,882,057,724,302,212,115,771,383,
479,638,266,044,308,352,865,353,248,326,202,995,365,632,892,239,725,145,888,
846,018,728,952,677,396,993,030,087,154,772,647,771,844,194,833,681,155,204,
631,862,300,050,548,285,283,476,245,043,198,525,264,129,176,090,769,078,198,
205,426,345,411,391,495,293,808,152,208,477,561,725,783,363,945,803,985,544,
198,666,228,643,119,983,509,662,462,311,981,421,208,094,561,318,420,768,841,
995,495,169,626,461,380,375,494,072,987,692,757,514,919,660,885,484,723,890,
817,783,693,166,949,944,646,940,884,691,674,638,732,453,175,271,840,431,559,
788,823,480,278,071,621,633,255,056,038,576,594,979,557,735,381,344,336,772,
573,704,021,424,984,996,481,131,985,784,552,673,849,287,696,489,076,610,181,
932,717,967,406,098,501,060,637,934,442,625,561,660,198,947,540,995,683,883,
137,252,022,925,473,859,208,765,188,738,734,527,671,505,585,639,950,543,257,
750,780,852,860,210,111,327,018,544,539,661,260,348,366,900,470,845,762,355,
795,204,181,526,397,106,951,300,082,680,945,032,565,052,008,457,230,402,794,
879,180,876,177,876,625,711,865,626,810,908,848,306,253,440,144,800,178,130,
939,973,229,552,302,204,723,809,200,931,527,078,333,422,143,746,422,741,622,
562,973,809,742,469,838,732,148,200,876,757,901,975,771,094,309,727,670,413,
074,065,518,971,501,314,798,623,890,368,320,053,128,338,830,586,828,700,210,
205,321,129,053,033,577,448,971,160,186,140,490,750,150,415,437,795,547,797,
112,114,603,133,286,639,611,354,195,406,813,157,209,273,808,372,119,049,295,
145,856,595,189,583,938,118,671,861,121,115,200,897,685,610,211,106,482,507,
079,787,540,291,413,380,427,088,716,082,237,771,955,441,092,977,499,580,221,
533,525,352,990,802,611,354,103,521,786,298,341,880,361,269,119,528,555,530,
187,344,134,856,598,830,546,372,448,302,871,103,044,577,490,445,016,203,156,
709,718,684,890,446,615,798,360,656,380,897,921,125,706,226,557,365,014,649,
097,649,277,782,735,291,581,185,263,162,907,969,529,700,377,289,012,123,685,
708,270,623,822,623,655,050,901,529,474,137,160,522,029,736,766,619,321,878,
169,988,386,339,235,991,975,062,211,221,609,741,638,555,956,040,820,854,638,
447,291,651,544,894,177,821,502,123,271,085,770,528,564,674,633,038,022,580,
638,696,933,851,617,611,021,951,136,039,181,415,644,877,285,420,679,284,306,
943,047,459,968,808,772,801,115,720,826,193,331,329,888,932,178,194,765,917,
055,452,605,227,794,677,028,387,196,836,373,893,959,693,821,262,550,622,904,
706,938,531,049,590,955,407,402,356,859,034,385,386,170,150,567,643,892,887,
195,936,654,075,670,385,016,355,320,908,962,341,911,122,846,151,229,386,964,
080,697,178,223,202,309,771,328,538,631,059,475,439,924,979,179,682,302,640,
919,741,508,811,658,961,236,961,487,086,562,228,117,524,755,304,544,736,282,
696,922,301,303,256,370,496,137,497,895,274,792,157,889,093,305,801,479,336,
886,067,759,010,414,927,940,167,926,708,552,361,533,274,198,014,994,275,320,
039,520,168,103,993,943,896,750,357,384,788,906,534,154,529,841,038,875,138,
537,419,600,740,793,118,595,287,600,518,784,802,160,242,247,755,648,969,856,
636,185,160,450,207,500,778,655,154,037,861,728,940,972,288,620,583,566,096,
929,285,218,351,260,948,596,719,640,686,898,536,941,677,980,547,433,883,725,
703,690,305,142,537,611,308,475,763,135,671,567,114,065,106,745,855,230,715,
529,360,942,093,558,677,891,241,174,312,623,882,298,531,284,618,001,047,642,
325,146,108,020,957,054,201,801,888,833,445,283,904,232,758,565,265,273,731,
800,563,474,745,554,792,489,164,571,705,714,360,883,588,827,782,471,364,018,
623,787,847,001,914,655,087,256,552,263,555,278,236,594,033,554,910,440,090,
453,694,364,828,941,943,909,860,673,727,720,157,448,082,846,784,723,211,691,
770,736,481,987,827,752,970,130,379,400,004,119,611,092,451,573,882,529,579,
048,570,668,507,783,237,902,420,232,426,228,116,730,982,524,551,051,239,635,
866,420,795,602,967,587,804,521,159,290,866,736,051,795,518,447,098,214,880,
912,505,829,707,150,320,927,728,814,114,185,330,383,540,964,495,083,975,750,
493,891,482,691,062,668,034,530,432,326,792,138,076,582,584,876,478,145,307,
151,731,076,156,415,370,010,591,052,723,696,002,496,876,552,901,555,250,136,
492,053,760,192,751,423,296,876,002,134,952,434,177,182,430,815,353,663,081,
291,601,242,760,439,556,562,623,034,352,521,025,288,385,407,961,540,378,890,
889,468,107,943,544,290,352,290,993,525,670,432,697,897,787,467,809,976,734,
561,103,772,073,393,258,438,903,065,721,049,204,787,328,186,000,955,945,268,
790,065,826,548,802,480,561,002,484,895,007,461,697,889,610,476,619,029,121,
818,380,199,132,714,270,894,054,493,830,843,837,462,691,718,516,317,306,689,
323,380,147,005,733,470,070,586,547,187,576,823,247,193,003,035,064,910,791,
204,132,709,870,535,858,576,253,443,609,807,491,472,092,554,107,355,505,367,
291,657,808,351,012,069,840,190,413,732,049,475,371,002,890,604,478,010,263,
659,690,208,316,452,198,668,875,973,097,614,480,226,927,107,208,666,346,449,
720,244,441,964,329,582,529,113,826,084,040,864,584,043,353,658,746,922,061,
519,460,711,396,654,859,391,488,720,764,609,501,789,863,669,749,773,214,560,
697,200,128,547,372,290,644,258,217,542,508,691,947,765,795,105,810,598,911,
962,473,958,448,844,576,269,927,143,959,027,921,994,026,140,601,565,946,121,
675,184,283,590,068,033,619,305,688,892,525,380,003,923,090,736,600,112,370,
192,538,160,288,179,409,864,965,162,092,524,610,978,912,968,641,763,443,280,
479,911,009,381,224,622,274,481,082,759,695,152,619,051,916,739,231,831,119,
746,908,936,802,451,428,006,788,117,282,530,834,664,386,807,146,350,229,057,
735,815,218,797,185,096,710,143,585,050,008,857,858,274,900,903,387,059,530,
440,692,672,922,744,244,827,609,980,183,843,032,705,574,300,322,603,743,044,
921,828,393,197,066,897,516,904,396,470,374,588,651,659,661,713,962,695,719,
313,335,342,365,156,632,732,291,383,239,211,110,023,318,759,956,351,776,568,
373,415,442,094,503,240,793,140,770,869,423,444,659,291,343,648,010,352,436,
576,586,948,725,745,182,658,173,549,548,733,446,993,822,808,569,478,786,633,
957,651,548,440,953,919,244,827,400,918,606,095,960,403,546,654,934,775,731,
327,000,829,904,432,444,586,470,402,797,779,198,826,620,522,296,366,880,649,
139,590,086,917,277,556,328,876,521,489,394,060,197,997,639,580,463,316,600,
791,532,052,411,970,204,814,333,980,792,199,282,498,550,248,869,448,286,396,
348,552,284,874,344,230,787,012,440,713,999,496,114,815,905,637,445,682,982,
711,761,411,183,018,972,680,800,264,049,917,305,189,015,974,961,544,055,540,
059,957,653,704,887,441,629,476,633,600,607,663,422,377,480,243,512,268,763,
205,111,963,632,116,339,197,182,304,398,624,053,526,362,579,659,094,079,005,
075,262,833,030,279,813,324,088,600,464,268,922,655,758,737,299,537,910,307,
397,325,313,483,826,317,382,011,265,596,809,272,674,965,559,620,470,830,630,
256,086,039,350,667,253,959,995,342,155,926,704,215,301,371,989,317,223,635,
414,816,171,509,765,326,519,487,225,087,490,432,178,074,535,460,857,885,971,
419,276,670,341,992,661,114,880,272,775,990,047,674,005,068,218,237,562,778,
393,036,956,227,320,827,606,221,430,586,284,960,536,586,929,797,974,926,508,
297,986,882,992,445,815,116,453,225,182,816,459,450,427,350,514,590,242,295,
883,755,287,132,193,444,491,618,030,421,989,456,750,839,305,365,822,389,120,
311,669,402,132,535,496,881,993,788,373,327,565,538,723,052,184,792,563,542,
149,932,177,733,829,315,441,702,943,778,108,863,400,814,496,834,206,259,090,
335,170,177,323,513,023,430,168,387,337,492,576,135,157,037,366,209,216,698,
221,595,203,040,074,014,853,847,171,169,063,625,655,611,944,440,915,848,001,
060,886,515,530,910,753,238,069,333,086,265,562,656,176,317,207,554,278,010,
669,131,225,120,812,993,334,344,924,868,054,970,251,846,583,570,725,450,506,
595,706,127,818,783,430,008,486,879,308,317,066,702,351,839,617,432,199,312,
114,025,051,790,840,929,058,211,967,172,314,191,778,402,060,992,672,666,838,
429,571,055,740,182,111,268,179,553,530,231,836,641,261,714,649,548,571,006,
818,101,057,785,065,689,360,862,723,830,423,883,329,418,557,671,117,647,861,
333,051,613,047,637,483,781,361,663,636,903,645,078,495,075,600,113,437,479,
715,796,567,156,286,473,705,055,149,299,470,712,276,198,590,365,983,539,819,
001,224,823,724,079,151,597,976,369,605,605,489,377,069,216,771,031,659,412,
548,043,810,302,660,088,900,647,523,359,249,551,618,912,508,029,462,767,992,
853,034,892,986,398,024,355,562,416,626,572,561,744,368,840,007,508,864,967,
957,764,546,187,293,305,025,997,345,735,593,347,198,927,328,524,241,443,865,
327,943,419,184,101,733,454,448,288,526,513,111,310,354,623,157,180,201,865,
427,216,167,916,753,923,820,281,499,466,872,166,503,147,146,744,401,097,163,
200,616,155,978,646,214,407,687,397,029,127,532,177,259,585,279,364,569,247,
448,185,040,980,978,651,412,468,273,924,707,355,298,990,827,599,448,687,322,
842,159,556,496,323,045,683,066,330,033,410,162,737,826,552,008,650,378,546,
260,317,638,716,415,703,760,006,786,895,447,144,882,681,257,555,281,087,052,
090,566,487,000,179,860,418,681,423,309,673,999,138,984,802,545,278,229,153,
732,844,873,128,863,646,651,984,195,778,893,876,945,735,918,411,793,294,466,
520,321,358,558,735,794,966,281,350,385,047,665,900,861,355,882,551,033,288,
602,967,464,855,604,340,951,342,235,045,026,888,420,550,707,526,983,883,500,
719,552,043,577,373,206,160,089,061,534,625,168,229,406,324,267,415,519,263,
614,799,458,030,783,316,711,628,718,669,888,549,100,221,363,472,375,865,065,
476,198,539,508,730,579,977,510,214,533,087,831,499,439,471,660,886,549,496,
041,757,320,118,504,262,414,293,058,788,776,041,240,268,545,431,545,289,297,
963,293,733,805,617,255,496,904,802,313,389,617,311,905,056,393,881,736,297,
479,691,657,893,481,159,058,594,209,604,537,006,296,462,581,679,770,310,206,
306,166,157,108,896,225,404,376,308,048,819,155,612,079,091,486,797,340,146,
374,333,436,249,498,544,518,018,113,968,638,728,140,283,680,720,263,765,544,
501,312,943,659,424,299,649,577,165,297,670,715,565,506,207,688,697,980,954,
347,045,456,531,323,978,384,802,867,449,823,320,124,708,272,453,874,775,408,
037,810,168,546,199,339,934,760,634,010,036,913,514,598,125,220,662,934,310,
358,509,893,193,547,464,505,811,578,680,631,847,740,247,743,110,201,479,631,
890,191,835,542,731,926,691,709,312,217,828,399,522,765,191,688,443,014,116,
244,367,609,606,438,092,320,251,823,533,231,444,876,628,000,492,539,535,372,
725,952,013,536,957,127,096,997,514,248,804,780,731,162,016,865,748,819,658,
432,809,604,610,665,748,428,881,634,647,152,956,811,369,361,586,022,152,275,
991,493,319,718,723,669,123,638,713,493,689,515,441,918,165,398,684,333,750,
904,947,056,653,051,531,462,462,748,231,087,255,882,001,525,331,228,326,531,
400,151,504,277,835,950,087,114,301,188,043,081,056,241,351,015,405,101,557,
505,041,127,748,531,863,198,004,762,496,494,370,820,263,244,534,218,551,879,
923,595,538,057,372,566,863,905,018,526,737,496,573,313,027,954,067,258,622,
524,805,965,352,795,557,095,274,638,012,719,462,547,688,755,048,696,366,133,
427,553,769,357,572,433,006,465,424,508,438,052,324,944,943,101,100,271,190,
727,001,211,347,209,495,661,153,126,383,550,563,638,853,261,822,056,334,459,
475,632,936,427,212,677,840,957,973,959,348,690,089,906,320,639,316,542,184,
086,202,202,738,263,388,478,972,475,244,420,726,090,594,759,395,693,103,741,
032,597,206,314,331,305,471,836,290,169,690,534,488,499,256,542,374,286,305,
033,167,940,016,776,109,775,623,801,707,345,277,599,006,352,262,965,572,111,
857,822,478,450,460,933,310,462,645,901,566,164,114,964,397,139,627,187,176,
209,268,153,264,916,704,107,692,067,547,513,883,100,437,554,679,936,722,702,
159,643,890,282,674,957,081,359,909,650,239,957,503,121,945,891,655,040,607,
507,965,951,550,082,663,452,746,004,485,031,807,371,401,536,166,770,077,318,
282,977,342,548,617,432,690,742,730,895,912,733,764,796,573,119,786,505,988,
775,791,864,024,796,727,189,116,519,266,302,496,304,487,678,402,550,292,131,
025,527,012,017,972,518,838,171,221,751,417,306,257,013,068,596,688,357,009,
814,273,509,197,306,086,486,758,844,471,527,770,088,823,786,008,277,884,517,
930,614,822,587,507,200,179,666,900,676,623,909,329,703,646,817,825,993,300,
700,605,308,922,264,315,671,552,284,906,158,775,808,090,160,354,882,078,145,
720,292,756,122,357,098,868,176,651,397,545,463,937,134,289,982,831,851,243,
824,640,614,135,013,438,893,723,614,104,469,336,654,601,241,860,360,150,873,
392,583,454,593,785,813,421,834,222,480,247,217,295,918,292,400,726,562,768,
411,996,528,154,487,075,662,208,965,326,063,786,670,064,311,063,943,211,068,
398,772,172,448,256,555,338,838,802,101,043,179,765,697,641,370,669,399,538,
157,628,178,522,524,268,757,152,950,201,613,960,443,979,073,788,739,085,707,
353,305,193,767,442,510,163,974,155,544,193,459,474,274,309,909,353,522,021,
667,377,970,323,176,240,571,685,525,109,259,393,666,935,788,958,551,172,343,
503,859,210,412,204,259,962,870,708,343,693,016,297,575,149,796,497,855,465,
412,790,581,547,648,992,322,680,207,017,689,705,122,336,915,120,450,424,604,
015,182,661,671,320,591,780,520,485,763,125,046,273,239,087,068,402,222,626,
414,934,141,343,709,881,281,929,050,448,872,427,784,250,863,591,651,031,703,
253,114,295,480,354,922,555,707,673,247,110,208,546,067,736,983,080,060,908,
712,353,762,343,055,137,955,701,045,548,703,017,532,978,166,352,569,214,264,
965,851,096,195,979,405,514,135,346,801,216,571,887,944,412,852,293,156,368,
047,771,518,234,050,509,447,694,101,451,421,350,767,859,130,087,969,486,047,
176,042,122,570,041,312,770,023,218,277,220,950,028,755,459,022,192,759,744,
711,198,005,219,542,977,729,002,992,950,152,600,353,366,529,422,829,118,346,
866,912,205,941,159,100,362,766,702,374,189,611,357,261,514,934,441,713,954,
420,241,455,951,670,450,384,093,612,845,292,228,760,616,239,612,753,343,856,
478,536,839,864,354,774,571,014,071,268,712,563,749,944,253,981,863,420,340,
684,540,065,238,739,035,658,916,320,728,543,045,655,994,519,701,368,568,489,
632,193,480,441,438,052,174,495,085,008,654,453,159,183,680,038,518,090,408,
653,245,913,284,024,966,718,676,922,171,017,987,455,272,021,283,102,162,002,
199,898,526,837,314,374,561,785,534,155,423,550,426,582,213,352,924,225,355,
225,357,639,513,095,208,545,490,076,592,696,607,954,480,218,156,443,691,201,
642,721,009,495,159,812,856,208,392,342,894,663,101,235,699,877,351,322,000,
467,340,785,129,074,441,188,256,100,441,873,025,720,857,299,330,419,350,182,
567,419,670,669,838,956,014,182,913,019,937,777,044,939,771,258,980,058,771,
390,934,827,668,654,058,102,184,381,630,957,986,133,232,598,503,526,231,705,
819,314,228,763,186,663,864,894,963,914,644,925,099,985,210,099,520,366,217,
473,386,529,693,630,848,466,357,319,671,888,278,821,546,707,392,935,688,306,
041,118,090,746,133,945,515,330,734,995,060,651,719,232,245,205,899,321,599,
443,181,796,283,360,816,696,736,017,433,858,958,736,197,443,719,812,412,425,
503,057,305,749,633,467,744,822,427,032,008,901,135,248,633,419,291,923,669,
668,442,432,188,824,937,271,101,285,867,116,188,002,706,113,215,725,023,893,
221,329,538,112,421,937,296,260,941,809,679,147,040,299,538,874,614,424,167,
425,000,797,772,099,432,817,207,090,945,124,893,845,869,722,674,369,660,319,
189,563,105,114,395,665,117,263,508,744,157,986,622,186,939,636,932,505,367,
401,982,335,133,337,828,688,875,780,093,949,935,495,250,400,077,075,250,386,
930,830,704,347,438,636,648,089,466,177,093,294,583,636,168,514,276,693,865,
992,601,335,117,065,587,701,903,323,425,939,794,134,986,589,918,730,038,661,
369,837,537,649,615,969,564,850,389,321,302,936,261,969,115,261,445,762,865,
205,424,541,833,638,249,557,283,796,034,615,157,478,437,227,710,348,986,663,
494,363,366,537,727,030,625,835,704,130,034,637,319,645,856,587,336,489,403,
626,227,280,855,638,604,825,046,830,757,151,903,762,372,633,710,997,366,635,
318,415,372,326,702,657,138,458,690,615,073,055,078,031,622,968,476,578,354,
990,132,516,724,352,308,874,846,872,352,940,224,135,411,996,129,706,150,396,
154,539,222,055,627,693,738,341,007,336,466,609,823,506,501,821,880,091,800,
145,876,824,146,672,475,017,116,476,507,885,958,154,538,189,753,520,527,338,
515,986,912,941,507,233,935,641,976,875,474,526,262,096,770,138,589,365,673,
576,726,582,160,675,792,073,655,520,564,590,137,849,746,812,817,603,088,133,
066,048,556,933,014,890,535,276,439,433,283,909,702,506,756,039,495,597,111,
841,034,683,166,254,261,824,688,913,400,815,007,592,609,549,636,321,177,702,
410,174,185,948,721,553,224,666,023,042,442,446,753,625,383,640,588,884,242,
553,690,896,952,870,286,286,390,793,104,048,728,983,994,321,088,108,265,875,
355,707,745,464,681,462,206,585,090,488,767,540,816,708,715,624,179,102,759,
764,199,512,186,988,088,299,705,408,668,455,713,840,277,060,445,060,378,554,
672,166,324,362,610,694,878,833,134,579,828,331,299,883,196,172,120,884,153,
613,676,773,008,217,716,814,531,831,766,137,723,680,069,432,087,331,047,072,
567,770,286,179,288,286,838,194,780,950,113,661,120,873,499,492,678,681,827,
205,396,530,363,229,814,806,367,999,907,193,673,439,272,407,825,423,882,607,
169,366,589,655,507,549,065,018,201,285,606,831,727,946,386,387,653,302,367,
424,743,005,331,799,281,057,496,994,540,754,163,476,796,349,505,644,044,224,
357,409,516,589,844,696,221,392,217,606,224,919,799,484,957,128,822,577,031,
765,284,420,219,613,003,520,636,298,414,067,549,601,386,137,208,283,849,949,
092,124,093,301,281,468,401,482,189,456,489,652,155,191,823,541,967,795,163,
059,962,186,979,682,574,953,111,088,542,621,084,267,568,814,036,124,014,278,
716,551,645,452,508,764,457,480,672,371,766,941,165,008,250,135,991,936,657,
281,631,345,706,304,517,822,353,850,416,625,352,507,590,852,625,655,723,888,
672,232,847,323,299,781,642,964,769,538,518,206,655,807,575,304,155,587,695,
771,931,656,058,338,253,181,041,798,353,625,469,114,564,832,925,215,439,003,
617,907,229,484,855,077,521,900,007,254,128,267,039,495,665,127,685,573,579,
328,703,107,162,847,128,935,985,590,598,177,606,681,512,487,369,156,362,590,
456,964,891,833,619,216,576,875,705,033,968,499,892,934,754,214,499,983,236,
633,312,541,746,845,456,564,893,582,658,765,950,930,013,236,832,653,297,265,
267,713,936,608,807,692,909,652,878,149,421,880,531,349,018,520,624,120,309,
704,508,277,108,522,677,411,277,992,777,641,346,044,170,607,429,460,934,558,
448,695,770,380,719,783,353,003,829,898,109,095,723,490,119,209,199,018,634,
297,208,512,120,919,007,609,178,107,868,494,464,156,494,814,013,550,703,159,
088,647,758,957,696,142,073,137,557,382,980,618,500,295,157,369,290,130,166,
468,382,167,183,849,978,155,374,224,477,611,160,706,493,802,316,551,122,512,
792,885,747,453,545,908,032,303,826,031,431,791,785,242,617,977,178,679,370,
799,240,434,804,030,809,604,234,637,362,000,247,532,788,153,169,097,211,915,
634,291,704,313,316,642,239,112,406,189,197,978,513,675,919,777,972,761,280,
088,095,197,776,072,622,703,824,808,685,253,703,126,836,948,154,315,992,601,
073,088,611,956,924,926,469,763,889,595,857,928,502,913,801,247,587,185,320,
338,222,522,010,158,718,071,746,471,411,440,194,692,133,863,206,344,285,404,
847,573,754,209,157,774,897,388,730,744,419,235,607,166,636,584,852,632,377,
479,891,980,601,288,337,158,859,302,763,101,399,989,922,254,992,224,601,557,
658,788,497,674,672,102,518,272,029,386,362,950,644,722,527,345,994,284,970,
669,703,112,969,111,948,776,140,906,240,461,021,105,359,381,134,574,426,827,
373,808,993,397,457,292,443,442,428,389,956,600,067,524,631,433,130,649,691,
480,649,417,913,959,808,217,248,514,595,590,012,758,425,659,853,285,289,051,
343,345,397,040,132,963,783,961,271,232,798,727,814,087,230,244,515,276,982,
345,754,834,928,691,240,222,521,797,816,254,414,189,974,369,416,348,972,283,
066,216,630,700,395,854,265,346,047,042,732,382,976,858,622,945,983,150,531,
578,821,828,032,278,389,121,602,865,527,587,007,471,993,471,758,510,371,956,
139,999,129,496,749,091,139,526,548,610,932,093,263,476,632,872,840,317,179,
060,090,833,334,705,992,274,703,576,419,923,627,520,475,660,367,697,189,286,
969,131,624,599,450,760,530,967,343,802,515,069,005,640,419,115,700,669,622,
887,616,035,390,309,464,458,180,891,843,676,621,897,121,576,935,406,583,362,
154,128,273,114,682,730,261,668,355,680,421,827,050,005,861,251,488,497,741,
376,172,906,563,656,093,910,327,821,757,095,806,885,861,054,554,197,644,520,
087,608,574,555,442,295,271,137,190,598,608,079,801,305,133,578,710,198,888,
525,859,987,939,368,685,505,225,303,839,181,242,201,127,465,571,874,012,002,
261,656,227,932,549,411,880,103,520,008,494,685,491,780,547,548,272,838,323,
702,745,626,585,568,731,459,695,254,495,012,608,662,574,568,807,676,339,132,
925,426,256,662,713,234,339,968,208,269,508,957,316,314,091,454,679,456,278,
360,199,226,498,499,219,465,660,655,307,851,021,444,344,124,535,777,813,507,
430,851,952,707,530,812,828,161,389,523,609,866,824,582,913,814,127,383,489,
126,683,508,821,149,916,177,782,556,729,388,084,882,283,854,620,954,624,881,
672,977,685,264,505,437,005,250,988,403,991,694,109,500,533,175,946,650,571,
095,609,863,252,523,412,602,549,547,740,763,642,213,119,828,179,529,708,386,
972,822,926,786,789,426,027,288,996,613,179,368,974,212,361,211,847,301,568,
582,568,975,869,179,878,997,080,565,541,386,937,306,492,367,571,842,068,881,
081,790,569,273,639,073,352,062,897,477,418,532,701,723,643,082,446,835,589,
489,138,180,961,725,989,434,080,925,263,179,560,087,234,425,198,302,332,772,
942,297,604,913,060,880,237,928,191,802,525,490,659,292,270,822,499,246,947,
081,062,807,302,159,474,529,773,769,208,619,803,485,633,431,366,642,500,392,
877,633,678,603,644,118,310,395,882,956,185,634,168,345,434,409,273,654,676,
169,211,032,185,193,259,020,593,964,487,002,145,254,628,764,499,968,848,851,
423,341,302,108,535,572,305,354,293,254,901,355,622,558,917,470,812,941,934,
840,494,919,888,046,305,984,348,345,383,446,352,956,155,023,343,845,115,002,
063,333,853,614,665,376,563,879,733,222,843,159,087,376,993,073,967,638,489,
410,675,431,602,912,987,585,632,926,637,271,167,700,273,579,124,745,231,992,
853,377,400,683,681,431,688,627,955,571,771,213,032,431,520,901,656,823,016,
509,139,535,820,258,841,127,965,732,930,663,797,612,928,439,563,438,129,731,
647,173,532,391,233,094,989,116,265,090,857,129,925,239,079,435,531,592,943,
335,443,377,816,351,909,762,173,862,240,931,630,056,231,125,003,798,013,399,
120,305,178,475,941,991,931,154,243,936,783,687,233,925,346,367,417,903,115,
620,861,725,281,449,269,399,562,800,013,769,043,071,248,650,199,123,716,729,
381,944,437,768,789,481,738,771,077,118,514,296,133,265,812,380,859,569,406,
406,223,410,165,580,421,606,129,236,319,756,151,101,415,914,973,599,324,285,
455,946,773,270,884,544,852,573,156,974,882,228,345,206,199,832,813,939,222,
130,568,939,179,486,490,760,970,902,404,526,291,860,821,257,075,024,255,260,
869,961,526,023,322,225,690,033,749,456,084,899,937,870,042,822,433,779,629,
745,530,332,060,706,006,429,191,560,476,392,133,654,011,347,001,763,501,356,
758,035,444,585,315,733,125,938,508,096,982,030,026,892,551,502,437,690,694,
061,867,504,972,698,885,841,515,826,488,357,674,349,374,613,828,046,820,808,
242,704,844,013,644,268,907,492,267,752,630,414,628,580,007,982,815,504,518,
544,445,726,940,529,445,214,280,354,237,727,677,745,298,978,149,165,438,740,
769,795,559,031,638,318,940,576,609,699,892,565,627,394,265,082,856,692,177,
130,943,454,526,692,100,357,540,906,821,384,178,804,964,207,307,257,913,769,
162,535,940,307,518,520,760,339,255,754,312,946,858,572,998,646,125,683,174,
082,292,403,994,371,865,438,133,454,917,854,119,238,492,666,136,448,426,812,
874,932,413,617,687,264,101,171,355,156,502,012,706,773,325,857,552,131,132,
454,848,791,777,181,153,812,716,928,648,525,070,263,146,867,856,168,174,411,
234,529,929,586,027,447,386,478,804,668,871,682,949,579,314,196,721,112,423,
767,026,626,301,992,027,645,698,172,286,897,715,777,091,299,017,253,874,375,
563,918,347,763,982,301,950,722,701,924,208,901,436,459,014,233,391,361,045,
630,541,869,950,934,113,250,756,663,018,519,139,233,886,199,843,115,373,484,
321,717,013,406,541,918,671,919,268,989,937,728,011,948,592,254,296,895,173,
934,426,710,910,392,742,758,212,963,658,079,099,391,666,099,855,481,628,890,
244,878,955,475,944,777,824,537,330,222,613,397,976,731,507,747,099,066,943,
358,495,919,806,274,900,658,584,865,466,757,075,442,265,600,982,642,160,745,
001,219,138,904,652,381,053,059,595,136,291,151,974,381,492,166,720,553,384,
377,716,330,708,311,248,179,701,619,813,866,412,556,822,466,046,734,826,064,
202,070,555,057,656,446,516,081,775,101,258,118,351,886,220,281,826,620,074,
512,036,155,264,181,854,997,895,077,395,428,574,577,280,483,710,418,469,174,
163,431,894,096,058,522,974,717,005,692,190,575,426,048,156,842,347,723,080,
273,061,575,802,305,334,926,160,954,895,316,929,533,422,619,286,719,101,853,
696,409,835,969,939,972,709,762,685,866,125,979,347,654,157,026,518,466,816,
733,177,592,487,192,674,672,337,389,893,939,566,623,016,329,451,043,816,571,
919,213,886,576,723,815,896,620,832,896,644,076,418,454,280,522,832,869,344,
622,076,055,572,613,423,591,300,735,581,958,001,273,026,929,084,015,188,290,
151,411,307,393,093,168,935,089,527,722,826,291,524,807,061,613,476,012,958,
317,644,429,981,544,823,700,224,274,855,670,506,105,622,096,551,655,758,555,
171,671,819,382,182,585,298,949,792,428,568,611,755,885,645,183,307,879,236,
041,290,368,100,819,786,526,675,804,294,038,333,727,020,785,315,691,221,891,
200,422,986,373,425,705,839,738,722,487,737,442,888,295,822,452,397,622,020,
886,588,686,052,950,223,737,836,938,392,527,326,136,445,332,203,769,501,648,
558,689,521,127,586,505,314,345,062,088,380,911,755,192,388,620,387,445,513,
307,628,026,143,734,504,794,743,726,162,416,404,151,510,825,556,788,297,829,
483,662,851,595,637,208,219,963,657,881,330,382,561,450,536,817,694,409,754,
623,733,172,711,657,558,528,703,112,388,045,702,253,408,965,182,346,403,493,
460,952,581,681,845,960,234,083,011,216,393,246,015,778,707,742,818,347,575,
573,352,607,306,937,376,242,240,937,218,260,307,824,505,422,840,753,030,979,
039,561,630,016,480,374,679,565,207,481,911,405,944,300,487,937,153,597,923,
752,171,830,682,422,600,898,556,896,702,741,451,270,853,326,506,193,728,911,
122,165,640,091,907,082,749,607,201,642,667,101,398,199,068,196,730,410,416,
751,644,558,675,885,867,850,993,129,348,543,712,651,312,526,210,198,461,366,
280,615,296,269,286,956,686,897,788,362,350,361,541,055,994,832,594,464,715,
836,751,698,080,813,245,673,535,572,661,777,610,586,869,963,567,539,178,512,
660,857,609,947,226,081,860,976,006,149,824,697,978,173,127,837,449,977,390,
504,970,429,248,822,584,200,943,252,168,369,622,771,713,176,103,646,438,838,
596,961,451,778,856,093,814,085,875,521,464,545,164,851,405,978,814,788,965,
403,479,933,179,742,380,407,854,315,767,984,449,985,144,467,249,763,724,704,
092,035,607,522,867,868,328,089,374,631,389,924,010,601,039,008,528,102,465,
123,740,463,701,040,276,619,394,128,731,064,992,511,499,570,528,851,802,074,
332,409,019,352,343,282,799,508,870,332,425,193,986,074,951,328,055,213,382,
297,676,692,558,714,838,972,256,758,175,655,779,735,809,335,136,246,117,638,
765,239,104,030,753,571,406,741,544,253,672,075,607,197,797,438,501,465,421,
159,929,721,487,153,520,960,995,980,502,730,382,790,431,949,478,165,321,694,
231,012,485,372,597,538,060,424,833,730,769,562,873,665,267,258,070,481,195,
932,169,589,959,831,872,441,592,892,441,646,843,674,257,701,922,963,889,220,
644,725,698,073,365,644,043,283,148,770,225,927,477,374,586,369,097,284,313,
457,263,726,359,095,564,291,818,136,049,637,778,334,576,872,286,307,866,828,
840,029,542,921,076,016,524,982,197,296,455,335,097,634,972,700,051,929,879,
478,120,225,972,650,575,368,066,035,437,615,387,539,450,171,788,045,547,321,
227,692,663,398,317,914,386,353,813,012,826,246,255,540,189,515,752,928,457,
045,601,220,892,984,711,470,241,300,421,374,522,393,188,238,107,707,828,791,
495,337,640,697,182,932,648,382,184,255,542,589,414,903,738,725,646,687,424,
173,760,311,655,712,408,824,412,015,231,176,901,885,058,757,043,541,260,113,
251,505,404,920,227,084,401,984,606,317,536,517,290,859,886,786,137,620,261,
146,509,102,640,082,651,891,054,202,229,261,526,308,642,440,636,809,840,642,
311,958,418,751,659,613,059,351,322,091,465,959,258,872,774,023,452,862,271,
702,443,615,777,124,406,737,861,744,014,988,388,153,375,918,337,223,828,110,
101,614,354,584,909,337,744,145,419,391,275,278,663,642,061,581,847,072,303,
442,365,665,861,834,530,833,725,177,185,141,429,656,690,908,904,658,402,132,
679,359,873,760,799,716,103,176,675,137,043,088,792,091,497,616,782,922,270,
237,649,803,336,798,118,814,668,573,401,946,812,635,336,450,807,322,091,184,
774,430,265,213,939,698,308,246,748,980,576,133,245,859,563,099,450,847,186,
772,754,979,237,408,094,923,215,576,531,181,780,336,379,762,394,177,438,798,
999,057,602,847,382,432,812,579,502,328,072,685,302,012,603,545,393,073,890,
614,984,870,796,297,512,394,402,835,418,371,243,265,636,321,377,929,017,115,
549,532,269,220,447,348,685,360,234,499,290,404,347,585,834,227,092,659,709,
911,276,062,743,210,140,757,527,128,242,498,022,026,438,556,273,233,794,039,
982,354,358,208,039,734,368,384,660,071,995,007,549,919,133,804,185,787,334,
755,828,080,912,434,010,672,437,016,368,620,363,990,204,542,840,855,577,464,
885,671,030,017,188,769,578,296,176,817,512,853,684,825,385,733,099,830,653,
103,086,927,577,056,933,794,374,727,722,284,379,380,728,169,670,919,275,817,
528,668,446,383,484,921,671,744,344,511,797,608,429,247,591,191,414,467,387,
462,634,611,058,207,265,556,565,884,529,181,449,725,512,845,909,619,272,911,
414,872,259,929,348,753,055,928,402,619,957,714,773,129,632,356,669,923,464,
197,587,179,445,662,628,684,605,752,897,542,851,796,359,931,022,329,949,425,
876,469,886,168,767,288,906,268,363,202,608,725,468,705,825,496,165,152,330,
974,397,579,811,189,234,749,475,155,294,845,366,280,534,296,655,863,625,864,
358,221,623,210,340,068,818,669,038,370,337,404,911,610,388,258,168,181,604,
525,573,608,421,795,614,533,507,236,685,782,145,918,580,852,227,988,300,336,
595,967,684,849,473,062,154,612,669,893,318,335,228,156,859,550,274,943,303,
850,806,942,183,478,684,025,178,395,230,223,590,561,649,490,763,691,423,257,
779,650,863,333,113,364,861,448,837,979,181,827,773,673,177,991,735,019,734,
226,811,955,174,550,208,744,068,089,604,156,499,728,073,659,625,800,182,648,
303,918,467,393,022,258,846,122,960,683,855,239,130,800,023,713,926,768,260,
099,259,020,168,312,247,173,947,155,870,558,395,061,787,000,842,564,496,793,
034,804,502,884,632,445,086,074,520,324,048,882,005,376,477,543,065,562,974,
434,691,002,860,724,287,546,272,067,141,801,476,116,540,983,469,545,408,689,
305,864,270,405,398,148,357,602,673,759,486,828,602,301,498,563,414,971,791,
522,245,817,842,692,149,840,236,458,237,126,496,033,160,593,695,609,291,954,
431,718,801,813,606,674,122,957,197,927,485,310,559,076,373,216,207,410,460,
167,533,899,443,025,063,789,707,078,307,025,040,960,442,504,237,320,205,690,
550,150,438,060,772,747,364,449,586,219,079,683,620,664,551,081,978,983,161,
218,659,319,893,284,921,662,348,611,491,980,381,802,064,801,933,779,789,796,
128,963,799,355,604,559,347,106,403,478,952,790,543,450,838,992,314,483,714,
227,032,503,275,534,965,465,600,167,801,962,937,403,107,135,650,900,705,124,
126,535,642,558,971,548,278,360,200,495,759,335,837,193,022,675,526,828,643,
849,894,499,631,261,657,016,881,470,122,005,213,294,500,820,086,654,059,388,
283,085,840,508,100,964,377,871,835,703,323,845,707,069,208,397,313,415,300,
174,792,917,089,971,048,977,769,604,053,410,992,305,022,225,323,272,001,974,
450,689,838,740,508,769,025,501,183,913,666,116,332,637,588,418,592,314,442,
193,735,764,906,954,406,157,320,106,662,734,667,470,545,211,426,573,131,195,
291,113,747,098,576,185,734,045,679,353,173,334,844,146,682,840,214,916,442,
853,440,759,675,180,239,026,834,595,254,722,786,152,521,610,643,613,813,365,
687,970,930,591,207,753,372,801,745,548,083,734,182,694,451,272,270,009,993,
333,053,908,126,005,075,382,755,488,687,366,175,414,214,181,714,045,074,877,
218,295,101,557,167,147,764,095,020,176,552,715,020,956,279,714,900,052,713,
388,128,298,298,423,514,432,479,042,449,759,149,587,743,223,231,667,472,509,
229,177,259,628,097,890,917,546,875,774,179,196,447,296,105,859,312,633,939,
417,771,081,658,435,017,642,461,774,307,828,573,510,665,286,714,329,742,705,
219,787,608,651,267,121,225,908,341,333,802,381,568,923,524,737,069,586,876,
740,674,356,644,169,365,268,723,197,495,477,794,508,944,597,208,262,195,582,
062,646,741,062,609,162,345,090,260,794,279,095,068,410,027,010,616,585,524,
159,188,326,566,522,546,471,571,280,637,567,692,917,710,059,987,310,828,790,
411,863,788,977,309,768,154,081,496,931,545,233,862,387,323,227,903,719,187,
885,524,654,276,244,718,876,466,266,350,172,446,052,009,785,643,037,747,080,
662,754,615,470,701,139,472,347,810,934,975,894,413,860,322,374,947,438,459,
621,982,147,195,674,617,273,103,869,213,756,340,604,455,140,753,330,444,605,
969,040,751,357,275,124,902,374,709,515,988,470,959,533,858,690,853,415,824,
493,644,165,998,036,526,939,764,845,194,539,317,629,813,752,015,787,501,668,
259,799,615,485,256,961,336,549,513,656,697,225,889,924,162,000,374,987,406,
667,993,929,827,148,609,751,426,560,781,076,725,170,642,213,047,902,666,017,
066,529,661,452,881,165,990,659,720,315,949,612,351,798,238,276,166,622,233,
926,847,058,391,223,916,524,336,270,508,768,893,883,064,296,396,880,901,166,
154,979,955,315,850,951,635,611,191,890,735,262,448,449,628,995,852,197,127,
883,231,875,731,280,256,186,628,239,831,555,591,403,944,266,031,812,667,194,
168,258,582,234,318,985,396,821,122,873,645,576,111,405,608,620,402,038,951,
876,410,006,035,163,919,577,700,430,839,229,371,251,558,818,634,946,302,723,
875,355,439,541,835,968,325,576,396,781,474,256,720,324,602,605,382,087,834,
121,929,971,445,671,555,781,842,515,833,202,330,354,329,302,337,546,693,846,
323,868,013,251,481,517,376,949,143,134,892,745,897,760,832,314,416,465,569,
662,518,640,077,483,922,563,818,572,459,837,655,375,142,969,734,922,246,143,
449,718,558,425,847,060,664,105,439,201,408,865,546,002,897,976,707,482,418,
603,452,117,091,558,833,072,949,833,035,362,738,589,693,534,071,987,895,014,
433,423,291,596,294,091,834,653,985,801,216,665,555,761,931,767,160,469,001,
803,097,208,517,096,421,764,975,412,713,513,841,777,689,629,882,184,166,595,
246,757,866,708,257,043,011,283,470,723,503,232,029,024,121,248,366,943,054,
260,323,488,190,883,668,668,797,333,681,084,995,417,009,360,201,909,248,545,
909,496,770,929,585,433,263,750,462,649,213,154,261,723,558,605,349,371,798,
931,555,749,628,627,763,810,759,294,044,151,630,778,751,524,820,790,161,637,
735,167,731,024,081,488,475,222,051,768,292,687,341,745,479,544,762,081,209,
739,542,758,532,773,548,402,899,764,657,290,497,465,126,890,758,184,509,788,
084,407,065,712,809,252,806,841,162,408,636,345,756,108,478,781,427,523,873,
643,499,395,983,175,093,725,060,913,557,655,436,388,865,124,802,658,121,271,
144,281,518,317,947,512,733,291,356,939,032,293,942,623,450,901,399,086,705,
872,109,427,391,982,027,621,163,534,931,298,804,766,897,643,839,959,262,347,
101,996,011,676,230,830,792,644,980,552,469,593,130,171,184,585,761,889,314,
064,180,214,192,845,496,669,505,365,448,500,388,720,084,949,471,572,521,108,
377,559,159,905,766,787,428,115,441,155,267,151,105,808,550,617,033,734,782,
223,057,565,637,086,030,196,004,628,742,295,722,730,433,150,339,460,995,103,
856,107,198,877,522,603,781,509,172,205,244,961,113,396,729,873,024,220,810,
906,213,212,626,866,994,694,280,977,109,746,221,313,226,631,283,808,500,697,
134,719,705,058,187,226,340,598,013,434,268,045,253,676,373,211,388,134,327,
584,722,535,186,927,397,785,154,409,375,735,744,906,859,665,732,588,356,968,
520,320,678,760,234,504,988,446,835,275,714,788,228,342,536,917,816,261,209,
216,851,402,142,775,253,001,216,776,369,497,608,930,112,088,097,162,673,924,
047,104,529,060,366,813,200,094,485,949,452,069,888,818,100,820,540,162,455,
597,980,937,865,583,595,485,254,243,952,437,191,990,484,347,049,406,966,630,
669,823,931,991,078,296,183,452,436,598,093,173,897,367,761,120,299,360,467,
869,828,062,899,866,582,054,038,989,416,178,187,942,570,858,461,231,763,581,
374,515,780,577,712,565,205,271,985,215,271,745,426,865,231,673,180,877,673,
973,323,704,172,951,672,731,454,653,117,307,689,757,866,427,399,687,921,777,
677,192,099,514,619,024,540,797,566,028,871,347,851,490,629,371,105,340,805,
114,249,748,403,383,700,064,590,259,343,273,756,466,834,339,344,942,557,742,
200,328,418,963,564,462,624,740,292,623,973,116,896,232,602,931,033,450,668,
424,246,963,536,907,530,543,661,476,937,993,310,404,152,040,874,737,308,035,
263,766,750,255,796,476,691,614,989,134,794,280,465,961,351,139,720,567,755,
830,036,352,508,665,297,404,347,622,030,821,204,277,583,192,312,192,685,810,
740,665,752,089,995,531,972,661,613,796,170,166,123,337,212,354,664,187,285,
409,646,017,073,922,811,127,534,490,462,450,501,384,451,602,632,314,579,969,
331,933,171,085,483,473,832,917,958,279,656,285,243,870,940,438,831,863,678,
684,628,875,880,573,953,989,850,792,519,581,883,375,627,771,647,518,663,725,
066,254,756,902,683,010,210,659,784,045,631,391,772,512,236,911,523,603,339,
866,122,488,196,330,098,871,134,532,317,990,008,594,973,185,918,969,654,531,
779,702,608,168,524,738,656,117,075,763,150,430,710,552,691,733,990,342,007,
116,386,856,555,121,121,410,872,986,572,350,841,612,211,589,926,645,156,526,
898,441,261,776,423,175,082,581,601,816,632,277,391,815,416,672,243,530,231,
166,063,699,355,015,213,621,220,139,141,567,694,360,265,507,255,982,201,591,
816,769,636,773,910,944,155,768,873,837,491,124,249,026,328,320,475,869,573,
251,981,753,124,241,724,913,027,141,442,492,263,861,264,262,165,776,183,910,
906,012,287,879,435,637,722,298,076,169,496,292,286,233,374,050,342,207,914,
224,712,406,708,244,382,909,993,114,968,382,727,558,059,544,150,931,091,006,
786,221,530,370,320,588,350,712,738,961,674,054,180,234,576,837,830,791,807,
282,807,700,393,872,059,589,971,813,881,443,097,679,718,337,137,715,461,458,
905,231,299,332,446,325,905,567,050,581,475,943,118,901,826,557,504,283,256,
254,155,883,841,049,747,367,491,184,926,692,302,470,262,759,405,171,973,877,
096,076,971,737,175,018,893,714,419,375,493,033,158,583,399,353,106,810,256,
818,316,269,904,067,792,939,917,807,803,184,252,063,193,115,109,341,413,374,
827,311,745,634,662,324,978,434,357,234,335,244,914,151,823,943,570,884,935,
715,023,619,029,021,108,010,151,686,712,933,825,320,344,988,369,439,962,513,
053,063,857,673,056,126,376,889,925,133,798,711,180,505,719,674,857,743,919,
908,856,442,594,829,864,902,745,830,343,146,325,350,421,207,811,376,355,043,
235,371,313,545,434,396,745,535,002,082,228,085,647,207,406,334,325,595,267,
892,206,089,443,273,186,659,532,623,983,026,184,724,588,733,947,894,539,218,
580,501,287,060,744,634,276,318,824,742,495,165,650,339,265,500,874,671,002,
466,069,434,758,224,178,946,830,262,856,368,874,015,429,724,568,119,530,526,
807,115,306,334,516,463,666,311,227,916,463,030,104,929,844,414,741,858,977,
140,444,748,771,821,500,758,645,588,303,971,238,933,986,723,714,805,790,160,
929,651,349,247,106,329,991,520,295,894,352,264,255,288,600,697,214,289,344,
790,227,303,941,339,949,406,691,508,091,329,370,197,283,684,004,096,536,701,
393,037,755,204,684,204,734,321,164,985,280,724,905,196,599,036,411,387,003,
264,454,035,715,094,332,121,574,036,264,023,611,409,809,414,247,983,993,873,
030,330,251,440,742,132,621,713,345,058,485,675,843,000,226,408,265,143,821,
686,842,780,873,408,357,356,633,046,225,426,008,516,140,848,078,407,591,925,
142,832,644,920,773,465,261,284,026,990,319,944,212,031,039,608,801,165,582,
369,991,322,829,680,438,716,848,309,168,982,383,240,720,717,392,324,100,492,
736,920,060,937,269,735,665,633,470,736,018,097,459,009,957,489,189,757,446,
272,042,673,894,110,517,147,878,716,165,356,188,148,762,746,809,401,193,102,
088,922,806,913,621,870,568,009,293,172,943,973,760,627,509,510,552,332,898,
314,108,671,834,588,054,303,088,650,849,349,879,010,432,205,373,270,828,037,
310,503,326,886,214,170,230,821,590,503,298,302,785,417,073,621,291,168,036,
540,949,897,711,142,986,261,015,209,771,822,879,818,977,404,616,309,618,239,
854,232,690,011,631,185,226,396,547,910,507,234,892,865,759,367,698,851,736,
786,779,715,975,057,347,184,814,813,335,578,749,059,886,437,968,415,335,168,
758,061,267,403,260,646,568,348,338,684,963,635,561,054,216,426,770,379,970,
229,303,788,946,192,865,946,826,647,157,346,171,257,247,234,785,801,483,355,
913,324,693,740,564,438,301,984,099,495,662,637,263,968,102,481,843,953,377,
136,401,448,390,655,323,475,348,425,782,171,000,059,071,148,812,354,401,292,
412,168,481,938,478,342,954,334,634,264,291,400,577,073,348,778,847,373,547,
064,605,834,040,563,567,045,997,265,447,533,795,907,005,616,512,293,755,324,
785,766,274,683,816,486,626,172,196,574,970,215,295,705,546,192,928,891,410,
562,033,435,495,454,939,987,731,463,514,488,527,351,052,887,663,233,737,003,
700,204,462,813,021,311,980,682,933,391,065,942,911,154,524,272,523,058,892,
215,823,947,188,362,867,472,464,883,146,732,608,694,354,742,394,895,281,267,
242,165,128,928,402,897,233,147,833,731,227,912,222,759,686,235,200,184,215,
852,519,381,660,587,528,818,144,109,996,287,743,122,033,786,341,644,137,191,
443,144,986,588,408,237,089,190,171,221,664,792,711,077,789,462,009,654,993,
881,687,618,809,865,814,075,361,406,565,601,231,063,187,081,327,332,152,314,
922,916,550,120,833,926,189,988,266,136,583,440,240,357,208,559,895,002,210,
643,554,864,832,992,776,694,162,422,879,399,641,730,645,927,380,452,377,954,
287,836,612,438,995,365,946,940,891,625,940,313,465,065,334,515,575,263,692,
661,625,662,844,658,512,420,966,128,275,775,119,369,823,536,735,400,492,710,
725,824,789,239,246,619,404,526,664,939,951,840,983,377,825,489,535,203,082,
715,153,276,242,863,572,417,380,238,317,934,657,264,815,210,371,676,169,635,
676,745,539,882,242,098,554,093,943,032,047,262,337,893,247,505,831,905,328,
246,278,939,616,903,154,031,582,529,999,387,884,838,775,089,846,553,287,153,
899,492,966,705,502,229,650,978,919,794,770,484,869,311,959,440,833,453,410,
318,804,954,616,845,974,960,957,141,685,940,080,725,500,993,235,365,024,243,
869,365,502,055,895,371,597,134,491,029,261,898,702,167,306,590,122,736,371,
504,793,740,240,710,691,447,702,535,746,069,759,902,745,556,766,155,037,756,
053,345,957,437,729,096,916,196,839,291,022,558,048,214,853,688,757,398,231,
372,545,776,070,482,415,783,984,727,832,821,483,125,242,035,244,324,807,289,
487,762,681,353,494,810,138,030,965,452,156,721,889,722,059,809,228,480,923,
820,295,404,121,999,706,743,181,819,453,500,029,577,677,080,937,207,536,903,
629,376,570,069,490,898,336,288,632,241,205,325,052,049,927,781,871,483,288,
915,723,516,490,349,486,012,483,735,773,742,224,267,132,825,065,342,553,921,
757,824,238,610,187,350,644,927,762,765,266,810,381,444,624,357,680,858,099,
177,998,901,410,657,318,659,591,890,050,371,047,521,409,472,975,052,553,498,
257,487,601,174,553,585,961,933,987,553,033,064,892,539,602,121,056,950,279,
459,479,662,801,528,308,157,119,081,780,445,507,099,175,290,139,719,056,705,
244,798,585,289,484,705,485,620,186,856,356,971,293,856,961,505,084,251,282,
014,942,473,449,762,617,828,812,806,667,963,630,693,189,405,441,998,180,459,
147,325,226,614,519,660,805,476,667,493,885,519,009,396,473,589,365,385,528,
455,405,379,474,470,268,287,922,014,100,684,616,125,026,005,835,925,404,922,
763,316,149,982,826,066,620,559,884,047,034,850,845,825,142,520,687,095,853,
789,975,016,967,283,776,816,667,033,135,848,823,509,318,785,609,732,714,870,
451,794,398,859,039,938,076,005,463,035,193,545,410,614,030,103,983,374,360,
505,797,579,845,448,900,970,218,412,826,032,760,262,414,850,354,211,889,995,
710,094,879,652,871,599,448,220,819,071,294,240,980,699,454,496,557,211,666,
461,183,705,072,954,094,802,955,217,390,414,886,497,985,303,260,695,807,804,
805,698,703,939,248,922,825,401,023,004,947,351,508,795,196,013,147,645,945,
859,108,928,045,061,042,704,329,256,135,536,594,892,298,922,515,503,362,185,
178,485,612,353,773,969,653,137,584,502,287,259,770,181,993,635,496,214,248,
002,979,726,580,189,740,184,298,813,213,303,727,281,735,366,840,206,113,119,
408,349,434,994,339,313,679,252,300,518,338,615,819,991,657,713,294,753,689,
526,196,105,268,043,124,133,783,202,698,577,229,992,777,588,895,802,892,723,
241,984,173,550,828,756,949,058,618,840,733,425,249,843,147,355,042,775,403,
981,222,686,094,101,002,931,527,164,756,105,874,106,067,827,983,172,728,610,
848,292,386,190,757,493,684,505,279,553,042,297,126,508,050,377,451,868,011,
241,309,979,679,737,327,229,429,217,404,807,147,465,121,946,613,610,306,817,
833,333,411,974,668,713,342,524,853,095,872,524,899,160,783,141,853,363,085,
719,362,262,288,441,158,038,562,852,758,102,452,596,861,264,783,319,744,892,
737,258,040,911,008,006,678,160,168,898,468,143,194,977,852,382,495,919,026,
269,208,689,089,583,182,322,908,754,168,273,327,596,693,343,555,289,401,799,
160,781,800,044,939,193,849,814,635,002,614,305,326,838,813,108,932,969,250,
535,302,139,728,029,408,310,322,899,399,224,956,304,383,278,232,642,804,371,
729,674,616,422,032,754,931,034,602,842,950,148,385,634,762,943,641,097,511,
704,636,280,772,798,036,004,737,417,719,890,535,610,232,746,089,830,230,957,
995,767,199,662,682,674,386,228,649,346,721,253,980,566,825,909,103,989,824,
435,649,109,987,539,488,645,247,403,655,769,418,800,993,519,294,172,874,445,
280,652,565,490,884,864,946,320,145,830,271,966,415,134,347,210,051,436,676,
497,742,875,210,650,302,459,323,327,200,597,037,597,913,739,873,889,827,714,
844,879,012,462,014,400,086,866,455,544,234,782,734,000,412,903,578,508,871,
210,563,524,222,738,936,764,241,024,704,999,773,894,626,854,762,482,921,270,
883,415,196,465,268,202,848,195,888,421,106,902,704,733,985,104,252,257,985,
298,186,196,682,234,442,514,510,813,319,980,082,675,790,708,919,399,830,346,
484,797,740,886,652,250,404,452,626,755,963,627,496,656,532,373,712,492,079,
485,550,043,214,239,471,066,578,352,953,933,923,867,516,282,982,538,464,582,
544,229,105,443,577,991,791,535,948,082,055,793,124,540,031,414,143,601,501,
395,022,976,817,986,929,860,214,694,550,376,915,061,833,243,725,929,458,954,
987,100,002,313,352,284,871,987,500,678,312,426,322,394,830,263,867,339,822,
732,130,804,968,960,449,106,225,775,227,496,093,195,758,604,054,552,764,245,
704,880,501,942,490,511,515,289,640,027,616,739,053,106,789,911,815,278,373,
761,137,257,197,365,264,401,405,637,330,430,299,128,344,628,465,963,457,537,
348,914,874,347,071,105,737,303,551,323,801,882,437,774,172,657,286,993,380,
884,859,753,330,249,319,378,979,761,403,623,592,868,929,322,826,544,632,829,
276,261,839,076,037,438,499,836,336,177,874,687,114,932,165,788,364,780,980,
998,692,141,975,815,614,116,010,169,084,292,496,273,326,474,811,273,366,216,
942,167,897,677,836,418,617,693,444,706,442,519,986,322,611,239,604,055,159,
131,764,274,940,641,550,867,955,105,072,545,648,601,069,949,233,123,742,553,
208,832,303,835,987,927,158,084,191,783,103,686,525,086,106,953,171,349,865,
344,650,598,599,517,911,021,446,781,789,861,419,545,294,895,954,311,706,935,
582,518,743,496,129,794,981,519,180,138,085,418,975,878,559,112,750,411,721,
060,741,388,272,016,654,926,328,860,154,739,375,213,493,075,314,820,644,579,
790,346,984,566,596,823,547,474,240,487,653,849,648,383,611,992,012,635,759,
512,948,380,440,794,617,658,325,555,876,438,505,742,745,355,201,671,113,170,
060,642,717,071,546,271,242,861,945,571,042,229,505,556,853,476,598,419,925,
730,241,555,636,697,989,973,789,537,691,878,225,878,529,669,960,556,524,574,
145,437,059,400,157,688,361,865,157,539,733,577,216,878,443,260,931,325,090,
328,938,678,306,131,937,841,303,000,280,946,745,362,825,438,077,730,310,043,
517,290,353,316,215,238,468,359,212,402,038,409,898,702,439,400,954,140,626,
425,642,141,862,053,204,559,298,768,166,782,109,262,713,298,905,696,193,949,
885,400,690,089,359,146,211,022,017,527,646,065,917,197,204,202,468,717,333,
447,045,129,919,187,219,259,337,066,576,428,746,649,859,622,627,467,948,636,
179,525,590,951,601,079,117,435,105,972,651,870,954,654,941,145,239,498,633,
613,589,523,419,677,399,442,780,510,194,468,182,505,439,576,020,690,370,447,
476,438,049,061,629,532,391,666,143,094,882,593,929,654,061,061,281,402,492,
083,482,949,318,340,455,555,825,149,609,126,257,760,449,499,633,021,266,970,
969,334,617,467,233,278,953,544,439,854,649,143,573,310,754,479,560,513,732,
635,066,018,078,790,989,883,615,233,471,970,601,244,937,317,797,992,025,299,
292,474,078,970,766,211,443,154,351,384,326,297,494,134,083,268,677,710,025,
159,664,705,298,539,921,255,885,428,961,667,239,384,271,618,657,855,264,854,
411,584,605,060,828,870,327,131,127,963,419,995,180,230,201,401,839,148,639,
302,502,859,304,250,304,629,367,143,743,898,740,279,323,454,130,881,996,263,
403,783,572,168,167,679,047,560,895,080,391,762,862,012,886,221,013,702,326,
284,803,457,019,114,210,351,494,137,860,827,250,488,353,263,868,820,763,761,
778,725,275,791,815,641,013,052,352,692,473,154,349,481,275,824,579,782,816,
364,600,510,495,896,620,879,726,173,142,114,734,761,984,476,845,304,094,058,
700,700,675,984,622,081,298,093,748,108,476,243,632,269,622,583,617,413,721,
768,471,111,473,069,416,090,834,046,381,422,059,300,430,092,235,715,782,191,
562,772,531,657,778,181,532,421,367,787,380,041,010,101,774,883,176,933,332,
792,389,622,578,402,872,061,276,621,739,291,595,157,318,080,334,212,953,109,
259,526,066,309,628,849,117,098,813,434,960,578,181,530,992,349,989,498,729,
163,839,274,456,329,646,810,748,569,831,897,628,534,337,714,394,320,027,959,
838,356,076,775,696,951,425,253,148,544,640,220,310,138,252,844,471,835,781,
381,650,653,017,689,570,646,376,813,277,706,794,938,136,322,461,227,360,433,
691,199,141,024,591,480,747,802,189,278,052,761,323,489,259,287,110,913,254,
350,066,241,613,430,311,581,675,884,967,675,438,459,084,498,721,893,138,045,
293,322,876,764,301,576,888,632,167,278,403,407,747,464,151,476,476,011,892,
070,504,760,281,388,962,810,557,142,464,126,430,010,771,905,596,136,779,445,
109,800,996,422,534,334,057,524,678,651,577,058,590,297,514,060,949,625,773,
959,346,880,803,932,311,923,003,052,035,939,982,141,993,982,943,293,114,680,
493,313,483,944,398,195,823,836,357,346,709,719,780,196,123,973,971,909,205,
906,471,172,784,160,609,171,516,037,032,869,792,769,937,075,315,474,595,685,
936,468,870,172,972,572,580,493,465,192,149,180,480,539,167,232,104,838,386,
431,195,985,688,572,841,817,722,853,265,582,347,384,938,891,283,827,358,651,
297,627,254,897,485,891,562,050,040,872,199,574,968,672,000,804,312,050,269,
426,847,391,305,163,393,521,369,151,142,869,376,027,057,013,617,108,616,852,
188,093,759,448,081,776,108,246,535,538,466,183,678,516,894,112,370,137,174,
228,291,962,220,090,058,872,005,994,488,076,723,279,562,650,864,489,771,710,
100,107,558,321,385,348,386,756,124,780,560,753,037,105,429,067,168,486,322,
766,100,715,469,235,313,498,298,588,747,804,279,138,499,530,366,491,650,156,
907,276,779,028,517,991,251,482,458,212,801,336,922,524,623,250,461,518,015,
067,859,046,711,270,093,549,264,611,915,496,566,066,594,477,889,104,386,454,
130,985,740,132,727,567,471,971,216,810,464,854,290,767,309,486,268,344,287,
950,397,506,019,680,117,522,524,337,353,237,423,492,302,419,992,044,807,674,
016,876,099,725,017,584,989,876,222,352,317,913,432,017,615,204,077,588,948,
374,946,426,047,847,063,320,530,182,716,397,743,251,034,661,490,107,815,691,
661,451,627,423,086,804,837,067,111,051,658,781,826,754,118,265,930,881,244,
841,183,635,234,637,480,896,139,988,841,260,481,741,727,877,086,482,204,411,
137,012,351,941,933,870,547,792,836,895,670,890,520,197,419,728,476,854,832,
110,650,500,353,934,331,597,597,517,174,140,226,621,860,137,070,097,696,662,
393,765,647,922,580,977,967,442,240,515,142,604,028,713,137,299,905,060,600,
391,736,515,675,530,829,885,124,763,873,242,719,833,238,431,137,701,954,522,
864,023,473,708,974,982,543,190,483,440,340,792,764,316,514,923,652,171,358,
022,878,706,558,113,949,633,296,402,275,879,431,458,525,157,316,306,468,754,
773,638,319,687,453,332,058,473,594,097,585,374,333,936,623,433,834,067,231,
155,538,267,838,970,327,192,606,969,006,494,714,195,987,589,052,129,368,602,
828,434,828,985,394,242,677,606,317,653,651,503,815,423,824,414,748,099,423,
477,596,697,425,164,556,154,751,411,420,432,985,555,366,106,425,305,303,892,
328,594,078,706,903,604,059,668,709,153,438,763,758,170,029,313,402,899,787,
542,636,174,563,310,134,764,064,726,171,709,499,038,623,278,707,616,724,811,
783,871,876,182,405,103,549,603,329,330,670,531,917,711,839,229,107,075,655,
232,541,225,209,081,767,926,450,908,134,456,801,102,526,729,052,616,645,052,
952,009,745,450,760,194,556,369,856,824,865,949,085,198,337,167,993,455,121,
219,245,203,033,120,069,765,831,976,955,387,123,591,713,061,458,564,282,576,
242,111,590,189,762,152,700,987,501,382,353,405,675,720,053,873,752,119,560,
319,776,955,282,771,135,130,845,905,663,649,926,858,347,769,940,318,470,489,
800,052,177,345,667,549,344,118,348,268,618,671,034,117,200,672,686,206,423,
379,088,055,583,388,819,213,956,005,879,738,621,032,188,873,022,452,567,539,
777,846,935,589,789,650,390,052,301,028,042,197,607,357,254,326,392,448,156,
740,914,648,816,246,904,505,936,106,677,047,702,665,927,322,830,168,796,046,
624,100,211,189,287,079,798,399,011,073,076,714,289,613,150,766,503,181,341,
514,623,986,651,046,829,319,686,700,501,228,278,679,049,597,476,166,903,637,
715,585,910,697,772,764,906,142,857,747,876,536,110,531,944,883,316,464,948,
393,334,477,747,704,594,662,879,683,548,268,638,705,172,728,307,020,898,157,
003,619,256,231,668,196,439,790,646,095,941,430,727,977,472,028,513,693,635,
534,083,266,536,756,049,156,323,192,893,171,478,319,457,684,192,910,413,921,
201,032,390,861,900,700,037,469,864,115,661,925,777,011,725,508,212,067,782,
724,016,074,282,865,403,680,549,637,788,843,897,423,589,156,186,961,681,407,
769,370,515,857,543,250,557,003,256,109,248,316,897,363,385,936,625,325,459,
566,951,302,710,630,714,931,603,379,502,365,748,550,341,984,530,526,194,738,
727,024,099,026,051,724,171,432,193,350,492,100,812,116,695,825,308,961,537,
656,575,795,298,590,557,385,083,455,320,617,654,114,907,491,920,846,731,296,
882,891,948,681,742,169,556,568,804,209,292,775,762,817,970,108,196,852,972,
029,518,326,717,378,566,297,227,144,219,454,021,398,428,526,732,320,720,713,
797,151,331,332,669,066,835,142,495,420,959,760,255,942,330,680,527,245,131,
597,164,367,925,154,738,261,554,003,256,446,357,217,059,584,911,509,674,313,
051,648,514,700,405,714,317,290,773,619,766,514,738,835,467,987,194,607,070,
618,308,601,982,533,586,462,070,027,498,395,739,264,946,391,728,693,309,655,
015,155,447,048,819,901,164,918,646,561,761,676,371,212,024,586,421,059,562,
406,506,823,240,818,209,898,067,807,764,092,439,085,754,136,552,649,867,891,
641,580,269,761,988,283,742,765,345,577,423,663,250,693,468,450,605,107,906,
996,086,373,678,715,913,337,481,674,793,621,829,542,736,677,275,325,627,589,
325,452,689,255,136,709,074,290,093,096,315,476,419,680,950,309,451,213,095,
716,332,219,869,883,519,017,721,490,405,995,547,244,571,004,726,799,526,920,
876,378,008,100,566,368,637,562,622,279,926,358,416,973,492,296,637,365,920,
014,166,880,685,383,973,761,262,441,027,319,692,801,047,357,311,456,428,462,
474,438,046,620,952,764,411,971,683,711,641,422,798,780,788,218,380,216,734,
327,179,467,198,088,011,487,827,208,008,108,206,234,009,048,779,595,112,711,
320,723,323,017,273,461,681,500,887,868,926,628,447,122,972,837,812,558,619,
361,008,537,579,387,472,866,929,299,714,287,306,886,047,894,551,892,503,583,
364,823,946,624,733,662,768,706,998,784,822,226,095,805,097,869,764,568,658,
675,293,176,241,549,311,773,237,349,283,739,521,634,658,386,323,331,454,727,
910,334,256,871,451,483,853,424,827,519,949,000,258,479,816,793,383,319,703,
736,792,483,153,586,996,771,033,116,459,177,247,560,508,589,183,442,352,035,
533,126,922,614,066,519,476,896,261,463,239,227,505,127,823,648,172,821,859,
250,952,106,336,709,205,288,766,853,532,442,265,452,989,690,633,597,402,596,
435,221,196,043,945,951,177,917,782,977,144,565,297,139,949,428,485,161,014,
738,059,350,641,757,329,137,105,201,234,946,907,162,328,536,021,663,174,247,
243,776,306,654,214,433,188,930,564,888,045,922,990,037,990,753,112,630,981,
931,532,016,185,924,026,268,544,948,638,246,938,939,307,152,902,577,925,521,
539,747,460,330,621,740,699,761,163,403,518,122,888,906,088,031,487,906,519,
937,161,364,213,237,688,398,098,839,108,338,852,265,696,930,757,059,121,041,
189,918,721,663,529,909,409,867,335,426,955,346,832,233,973,299,313,736,229,
296,185,331,547,181,861,443,510,060,990,132,330,337,976,496,114,651,272,399,
271,990,039,071,852,866,397,082,724,053,922,483,070,337,932,991,216,932,628,
002,749,137,357,521,145,602,856,509,743,441,351,786,161,288,868,342,219,945,
369,929,452,094,032,374,766,415,513,693,846,068,261,201,126,632,626,590,633,
192,039,731,886,111,613,893,250,148,731,655,896,798,576,771,416,418,736,635,
644,450,060,729,194,665,667,372,397,079,693,920,063,072,794,023,077,939,508,
578,409,985,442,681,696,330,826,623,217,214,903,454,487,234,280,574,034,067,
861,326,888,582,112,026,056,910,259,539,860,229,746,647,335,928,255,406,228,
329,574,759,780,914,121,512,831,119,599,589,951,096,633,432,030,283,358,336,
299,045,532,518,315,900,984,496,364,531,053,283,846,530,176,746,292,449,119,
816,902,356,965,032,951,497,150,509,596,328,347,738,818,323,109,265,017,835,
695,602,412,854,430,275,944,448,115,586,364,521,415,510,129,627,684,296,617,
041,395,826,793,289,655,892,905,898,211,454,890,509,708,478,676,808,572,524,
188,624,748,925,901,816,608,427,013,356,668,445,591,155,469,403,619,056,735,
038,044,524,177,390,371,473,988,171,286,843,113,737,329,126,199,315,961,168,
606,847,478,075,854,941,931,546,448,460,183,567,350,439,890,774,776,942,864,
040,760,408,591,609,500,008,938,788,492,165,426,647,551,480,592,728,680,589,
426,212,283,088,701,670,303,818,858,123,011,202,234,695,310,713,646,858,243,
839,616,964,516,469,940,072,245,269,685,412,118,852,797,958,416,740,950,691,
990,757,577,072,925,335,999,636,870,320,217,927,241,487,949,791,672,840,523,
077,672,556,124,121,408,512,454,879,537,997,451,335,177,155,181,630,368,549,
859,378,022,183,145,011,640,785,962,735,271,356,273,138,287,905,615,665,262,
502,558,572,882,533,083,174,401,138,293,214,587,075,669,144,542,630,336,687,
769,812,552,518,267,970,248,956,019,610,833,985,051,973,753,753,124,232,817,
292,294,918,993,485,944,327,351,979,481,771,388,157,813,659,782,226,123,657,
838,887,106,251,986,210,313,970,835,657,425,792,192,756,086,994,008,888,756,
698,359,065,494,331,857,143,703,945,240,709,629,942,457,719,782,039,898,947,
559,317,940,633,255,207,253,072,611,468,658,146,309,226,111,981,039,914,067,
939,786,904,657,024,266,944,704,022,228,391,784,709,433,540,617,961,292,493,
212,034,444,924,456,913,792,662,086,058,133,452,132,596,537,199,466,792,081,
096,647,711,334,155,137,595,853,417,005,836,486,912,540,764,430,227,508,482,
127,255,530,522,742,181,139,373,313,138,361,433,841,842,853,658,137,148,497,
019,572,983,585,318,691,954,227,556,406,360,059,756,780,041,437,478,191,932,
976,027,369,560,359,090,024,231,143,184,524,681,372,024,213,666,895,676,531,
172,018,093,229,276,910,243,932,324,684,697,289,426,705,835,003,738,272,921,
404,811,840,265,935,613,995,853,793,259,610,407,855,615,514,632,757,814,102,
972,583,888,330,536,876,323,008,978,961,969,223,783,657,553,887,650,149,278,
171,372,364,311,301,848,424,124,741,903,043,553,552,319,200,003,402,717,353,
059,158,203,263,368,952,879,429,635,873,811,278,490,241,954,790,611,569,730,
739,857,581,983,739,003,444,862,359,723,838,955,952,556,753,634,994,956,280,
195,288,488,836,644,660,260,751,875,395,202,823,797,202,436,177,051,465,281,
805,623,559,958,680,598,802,414,251,221,522,426,139,556,133,761,847,528,606,
879,990,799,381,572,333,277,516,474,199,614,994,084,836,348,100,800,997,773,
408,748,524,808,470,592,235,385,909,053,796,954,196,810,151,390,241,673,364,
579,815,356,544,653,687,339,472,446,206,214,240,214,552,177,984,364,415,725,
794,118,976,854,544,772,013,934,483,194,449,978,415,272,183,259,646,694,990,
738,491,478,051,898,207,831,237,613,709,647,874,198,338,246,105,281,696,579,
680,130,710,692,694,062,166,897,926,029,145,733,053,565,935,440,153,185,701,
005,351,887,883,871,957,953,357,941,897,948,294,276,252,342,855,450,495,529,
786,873,647,255,709,918,428,308,286,105,428,250,394,162,195,555,833,670,119,
122,121,989,487,646,614,440,079,486,430,161,843,092,760,768,453,402,106,495,
357,875,687,571,444,336,579,360,530,030,069,182,670,005,993,632,362,213,403,
457,023,148,076,629,765,026,220,962,658,510,291,326,973,828,480,730,079,340,
955,433,626,497,746,650,487,793,648,863,929,331,927,925,112,007,513,533,915,
006,060,196,854,822,181,167,839,332,743,824,952,510,740,297,078,210,711,680,
376,817,877,439,244,296,557,527,578,071,850,093,408,002,225,894,561,617,002,
480,991,115,547,035,658,271,289,420,723,793,415,168,252,373,957,099,817,218,
542,774,653,151,912,790,075,199,799,217,349,410,098,207,142,728,359,966,120,
342,968,238,829,699,005,841,734,074,337,744,927,352,870,135,448,063,561,200,
428,167,175,929,528,572,688,863,090,051,390,083,637,554,776,433,845,392,296,
605,929,928,010,347,875,215,327,411,457,749,563,939,848,695,740,767,579,269,
244,150,234,657,109,002,009,258,190,169,081,373,786,391,918,812,743,591,004,
352,394,402,511,017,189,369,185,976,871,222,461,092,258,901,088,864,205,039,
310,059,940,585,828,639,186,349,976,322,803,744,709,515,478,030,148,207,290,
174,272,177,857,220,326,269,492,724,612,718,290,084,502,607,729,846,102,365,
259,138,300,719,071,943,330,671,217,000,513,732,212,505,530,513,621,034,191,
154,042,194,511,523,107,517,611,499,562,262,035,734,220,987,848,761,339,875,
754,310,795,890,775,725,126,135,465,806,077,689,847,646,815,088,195,426,354,
480,444,740,504,863,071,619,951,955,291,276,481,733,219,041,283,257,780,861,
828,454,786,345,811,730,563,965,418,160,667,927,932,477,912,285,730,479,828,
855,132,228,487,148,960,457,020,437,006,581,557,389,143,904,940,070,801,544,
856,493,374,540,284,414,913,434,723,316,397,332,298,504,823,690,079,188,336,
342,295,576,637,636,652,649,110,396,143,689,389,955,037,983,728,254,356,529,
159,822,299,044,853,577,746,807,288,408,510,797,160,139,282,814,422,785,410,
757,788,119,051,053,906,331,277,535,363,684,434,363,446,579,730,736,365,888,
780,500,958,146,990,373,737,302,638,940,802,386,137,255,101,476,699,964,292,
297,630,887,785,432,159,803,592,855,430,804,035,145,372,445,355,402,143,063,
593,812,764,753,111,411,411,330,673,106,552,766,032,711,167,646,792,968,774,
576,852,104,281,341,787,061,641,155,593,169,570,216,192,795,568,391,748,243,
123,738,493,575,604,703,758,164,391,111,037,995,328,810,685,535,032,839,708,
354,000,275,670,960,324,345,002,506,745,652,008,916,388,599,009,528,274,297,
257,580,606,222,255,970,141,154,115,623,366,788,347,237,699,999,852,879,625,
291,343,564,058,790,744,930,714,200,129,093,496,017,534,538,701,255,516,222,
780,653,736,278,668,812,243,570,744,975,628,080,251,722,928,654,679,333,170,
898,503,682,559,815,810,397,001,727,864,997,954,926,745,809,798,737,084,467,
282,818,117,045,870,425,878,950,888,253,043,974,398,909,048,515,923,873,892,
635,386,518,095,329,430,345,229,006,505,811,386,994,160,849,325,222,718,684,
780,053,774,350,638,950,299,332,217,346,827,680,300,752,687,430,881,401,249,
130,110,333,223,030,089,092,813,185,561,001,137,475,367,610,771,561,072,168,
212,211,452,069,538,105,742,432,099,874,741,081,327,456,997,096,521,862,891,
661,860,986,082,408,319,082,647,378,833,187,780,573,652,193,025,268,265,255,
284,151,750,332,462,855,236,439,776,278,321,634,986,027,806,041,721,821,838,
190,823,585,653,468,260,645,243,499,505,268,867,112,047,708,964,819,486,971,
724,486,576,025,536,321,905,159,439,930,289,164,128,352,762,082,371,226,737,
592,245,688,725,819,941,448,357,374,943,045,765,878,065,944,601,752,623,313,
802,076,147,688,340,202,180,052,723,141,339,646,632,510,954,785,140,902,483,
188,877,910,630,193,481,437,742,348,781,161,673,098,255,753,940,940,766,642,
574,152,163,375,383,840,681,315,824,952,361,575,733,874,713,546,179,523,284,
990,901,091,183,128,554,996,597,519,144,410,629,676,369,098,824,290,246,672,
042,514,169,034,685,294,546,943,182,596,949,669,576,058,447,999,289,527,413,
984,811,641,528,044,289,506,968,279,093,843,071,601,517,317,500,304,753,520,
235,610,623,582,879,550,470,457,924,619,843,708,134,727,740,563,637,988,984,
891,837,655,403,338,971,023,777,126,470,128,448,733,842,528,509,368,163,070,
744,861,616,119,659,658,369,037,862,723,709,630,514,652,565,541,476,191,871,
840,858,407,551,505,580,773,997,585,177,996,559,626,833,827,812,496,318,462,
593,853,381,440,187,852,411,400,580,025,829,041,308,519,237,047,058,991,930,
185,198,676,043,488,493,654,258,741,688,239,373,439,825,294,722,392,360,616,
243,763,645,191,533,023,808,455,501,356,513,128,314,259,673,949,903,536,199,
062,632,064,304,151,497,193,142,406,524,321,154,005,093,483,203,651,074,522,
462,202,372,567,399,149,252,837,333,155,140,603,011,312,035,115,072,167,895,
251,648,913,813,148,614,507,854,045,188,797,981,971,617,142,828,363,711,884,
255,509,815,542,305,012,265,563,519,858,470,555,071,938,329,488,864,397,839,
115,781,041,625,424,524,771,872,743,256,151,562,932,907,405,812,629,495,962,
227,043,368,949,734,890,630,916,612,072,068,208,932,174,665,229,441,168,657,
239,260,179,529,324,355,046,302,164,165,765,170,651,420,962,395,329,586,800,
756,456,151,879,760,386,511,954,185,633,723,962,304,481,718,447,147,920,747,
231,284,151,644,547,684,685,836,840,313,046,383,459,271,587,642,080,223,882,
327,028,283,508,229,630,083,540,056,175,530,813,142,018,254,862,323,084,206,
324,265,184,216,673,603,767,155,507,179,714,000,621,779,774,742,406,625,090,
421,421,500,186,077,305,103,398,264,287,722,415,855,372,941,452,022,097,677,
424,541,848,744,584,335,785,856,433,414,396,733,476,072,903,806,153,803,974,
408,396,847,480,882,518,878,154,848,903,082,828,323,510,301,989,604,066,793,
874,294,844,634,787,353,750,096,553,006,729,022,761,644,203,022,924,301,041,
717,572,543,465,540,571,780,489,987,074,514,326,398,622,671,348,086,449,229,
062,343,024,302,909,730,684,121,472,346,903,126,908,329,471,078,008,062,627,
050,034,728,356,091,620,791,279,728,618,448,750,317,640,861,127,266,391,081,
315,931,873,570,650,932,612,655,360,421,710,358,052,534,149,200,240,557,478,
297,693,760,871,803,178,670,378,831,154,317,302,059,303,994,229,130,799,588,
351,199,549,384,692,889,960,929,865,297,571,526,517,775,152,086,788,061,798,
908,265,599,780,261,464,270,555,258,357,673,459,278,712,576,855,725,863,466,
892,054,230,841,079,548,313,715,964,039,414,757,093,370,904,114,553,373,667,
830,291,336,453,291,597,139,209,137,883,781,732,238,806,507,430,478,698,317,
551,587,742,568,581,292,574,406,621,498,022,034,808,659,873,481,932,629,703,
329,868,444,031,562,148,295,768,081,308,976,375,039,986,539,312,240,389,226,
737,115,682,978,300,122,829,374,144,356,154,067,664,366,947,483,998,784,545,
405,230,619,536,254,003,413,736,217,297,028,310,699,949,001,175,239,879,611,
186,961,978,237,206,939,761,161,879,372,033,730,100,082,027,954,440,347,142,
520,951,956,754,612,632,376,755,639,596,764,520,896,839,058,271,282,836,567,
561,771,014,228,739,784,325,857,511,649,008,070,455,935,159,391,751,010,817,
348,483,961,654,400,116,005,005,907,855,293,238,297,956,928,246,141,055,274,
149,394,554,596,163,920,084,518,326,765,074,389,821,758,647,811,307,469,038,
246,898,032,471,859,403,141,690,762,020,857,279,619,301,514,406,823,079,564,
707,168,747,464,110,266,510,670,907,585,804,156,773,282,000,690,232,544,188,
089,333,338,397,039,245,341,126,897,137,685,953,237,324,014,751,800,199,160,
065,414,208,511,720,115,408,365,715,580,472,314,196,339,825,488,534,453,157,
750,989,566,229,483,027,455,244,411,324,121,436,795,856,813,697,113,442,197,
510,394,694,261,453,624,563,709,261,191,709,597,585,891,504,065,352,121,880,
060,827,826,583,840,286,778,149,262,208,472,130,632,236,113,370,669,981,117,
919,448,985,584,835,773,374,884,777,819,334,022,511,137,675,894,970,854,936,
044,669,524,829,255,972,479,904,248,312,703,041,557,950,574,885,260,395,433,
683,369,143,620,982,947,950,677,394,872,774,903,980,507,248,233,711,791,990,
308,751,181,361,351,984,714,355,827,980,617,124,937,152,179,671,948,196,867,
135,635,976,965,463,350,681,496,651,298,904,444,849,855,236,634,213,784,420,
190,494,397,503,652,715,082,877,759,940,680,138,247,640,536,544,577,294,005,
477,369,377,926,236,389,839,990,066,681,006,431,241,754,270,433,888,923,664,
388,818,912,868,165,357,068,299,848,711,662,977,003,608,506,881,711,276,409,
464,562,201,580,415,801,677,965,211,902,105,314,052,219,333,219,991,243,862,
730,151,197,938,551,096,578,983,165,807,442,610,316,534,325,550,824,317,881,
092,981,599,754,057,117,320,970,856,911,752,773,407,420,436,942,832,855,488,
245,243,963,446,986,695,019,137,371,506,478,366,473,253,206,049,983,022,144,
535,438,368,542,220,205,583,693,834,595,955,717,043,418,773,206,383,790,903,
554,425,936,260,682,691,332,909,141,855,222,622,541,910,131,582,877,503,979,
065,903,342,538,350,233,218,995,288,758,309,106,941,360,156,966,945,843,518,
492,584,488,850,861,792,258,650,504,072,896,886,985,283,754,534,185,359,397,
440,554,704,118,716,478,257,600,037,758,742,851,442,343,460,539,939,485,947,
428,298,131,379,391,647,004,819,658,744,343,724,848,144,194,184,286,908,827,
263,805,268,703,186,628,611,298,398,185,627,542,815,067,361,843,759,848,383,
824,440,810,210,765,132,518,703,931,423,418,705,210,392,666,093,994,789,371,
813,504,995,560,468,445,397,971,504,911,936,864,417,980,816,672,416,867,300,
075,006,342,962,651,596,973,749,284,219,738,915,841,329,176,047,551,121,581,
901,499,144,863,862,918,411,583,811,949,458,338,448,581,033,534,154,071,422,
118,294,547,679,437,373,889,935,318,643,708,383,302,664,245,522,111,928,561,
977,221,370,583,613,526,655,370,482,666,001,955,857,676,302,877,217,488,521,
736,643,123,822,908,369,207,888,235,406,215,870,158,742,086,584,912,643,628,
882,903,472,284,415,546,780,044,596,092,756,883,120,688,115,719,477,074,328,
857,106,048,178,568,144,599,194,486,266,036,257,100,895,833,535,809,190,924,
111,796,131,533,779,756,579,860,073,847,669,802,209,646,666,423,272,545,386,
778,176,917,501,431,401,751,713,539,629,578,413,173,350,097,249,871,405,524,
060,816,607,283,521,426,169,872,549,143,500,970,009,697,506,835,559,650,041,
175,190,506,979,669,821,993,165,719,731,453,385,307,612,510,758,562,518,237,
220,154,902,303,994,948,282,797,981,508,172,046,244,481,042,163,223,034,198,
094,296,885,967,285,552,009,430,858,784,246,187,382,008,798,379,573,443,651,
320,398,301,009,612,211,962,591,017,950,208,107,945,751,284,596,084,699,959,
260,851,855,587,080,872,809,778,239,173,355,185,612,737,689,662,680,552,188,
638,187,511,764,397,141,317,930,587,582,015,079,863,303,462,586,408,167,101,
039,400,573,088,285,760,554,555,656,712,485,249,494,358,496,810,586,771,326,
242,573,719,791,533,262,292,719,738,466,303,155,336,491,253,747,409,929,741,
825,837,093,931,486,845,284,541,757,284,589,197,056,479,715,713,048,906,945,
826,101,813,648,014,897,094,943,701,755,202,706,183,499,235,639,912,498,850,
478,026,326,959,288,000,212,379,096,568,708,434,802,418,039,503,576,326,972,
803,243,315,814,290,798,827,830,858,628,001,385,697,059,479,014,333,487,043,
939,355,308,051,137,742,771,957,194,264,694,509,231,686,835,780,077,239,367,
961,849,277,278,168,041,945,352,088,241,716,742,329,271,347,495,344,899,715,
720,254,183,539,436,199,391,041,172,862,818,508,639,425,642,419,760,598,208,
912,755,686,145,475,585,053,249,223,588,644,829,139,904,227,799,919,934,859,
135,408,659,976,188,769,670,360,802,145,291,636,800,591,000,552,232,382,984,
753,953,965,443,246,608,171,773,858,317,440,878,665,670,539,928,772,216,438,
765,424,794,428,845,481,831,685,103,158,263,295,747,962,148,548,844,654,397,
751,654,260,950,392,259,146,431,399,252,303,064,022,471,972,788,368,985,513,
746,814,102,086,495,135,065,223,456,060,987,855,989,140,947,986,124,587,598,
068,870,898,932,473,098,721,692,944,924,760,562,034,718,035,647,326,438,794,
524,303,503,075,881,096,122,076,582,536,169,849,276,467,355,561,165,697,165,
992,283,919,688,649,180,968,176,537,560,967,803,571,421,577,576,968,979,950,
386,435,893,137,333,373,198,828,428,577,058,369,366,964,219,991,196,301,136,
726,218,770,431,652,483,680,648,073,375,336,950,793,242,721,333,033,248,757,
349,983,568,715,976,021,784,977,903,355,888,975,523,746,123,853,901,836,139,
805,087,852,756,584,462,163,498,679,423,820,414,569,276,483,739,420,629,286,
580,888,564,847,998,121,013,907,745,457,299,613,055,912,504,425,630,343,958,
294,233,411,837,316,307,810,281,431,469,736,360,227,534,798,128,752,714,443,
251,336,385,198,476,804,708,359,588,545,639,588,511,840,851,360,166,910,294,
786,029,412,707,840,155,530,357,048,625,787,919,288,488,877,242,016,094,412,
209,285,168,410,611,482,329,535,139,847,913,716,357,828,579,486,317,006,914,
188,256,579,319,847,824,966,068,086,360,764,443,451,210,470,858,922,923,270,
940,492,118,789,635,660,273,244,286,561,609,424,204,024,016,673,098,082,231,
869,672,615,600,861,506,936,937,344,784,889,450,334,995,430,371,317,295,161,
362,963,055,527,694,652,565,789,567,383,472,269,579,764,142,297,998,659,562,
217,562,067,326,407,203,337,661,630,491,872,924,358,048,791,150,585,661,919,
738,061,499,380,055,515,992,716,542,910,092,648,975,343,613,309,298,489,419,
347,614,708,282,143,944,592,158,691,677,162,180,932,413,545,170,239,317,668,
231,699,935,484,387,814,642,097,462,919,809,551,654,718,661,604,118,606,686,
786,408,742,140,142,314,145,924,114,574,850,805,422,018,881,211,016,208,302,
388,823,261,145,507,657,648,195,174,411,548,616,079,152,352,760,504,835,479,
319,848,400,806,231,573,560,240,930,999,753,892,069,694,805,311,430,076,190,
738,844,893,091,215,384,832,457,787,646,810,106,129,655,306,468,933,398,213,
986,688,203,511,958,539,388,689,079,333,364,410,991,771,091,038,633,598,964,
875,739,759,303,783,403,699,218,312,249,712,105,839,070,978,465,975,174,313,
422,298,375,494,121,427,691,251,549,986,881,877,615,152,452,120,330,511,380,
694,029,424,345,381,540,534,780,888,113,425,007,059,446,436,969,277,906,340,
936,174,235,228,996,372,111,666,618,850,897,485,034,964,481,593,106,759,667,
335,423,702,498,410,834,830,853,981,877,365,518,281,267,111,383,050,436,494,
389,811,281,183,780,943,492,724,459,014,370,082,654,142,262,449,799,536,839,
211,734,328,908,305,685,077,935,592,364,592,327,230,537,736,122,446,346,787,
582,918,277,705,718,587,691,885,291,736,991,691,083,902,949,541,161,983,828,
559,836,875,334,085,831,660,474,831,968,915,425,600,545,833,272,742,814,091,
659,761,582,675,794,418,176,932,712,176,186,356,219,905,482,706,615,154,457,
714,025,829,897,949,264,891,477,338,760,200,391,517,915,266,072,337,006,595,
376,288,426,514,240,908,800,379,140,288,933,386,002,908,879,058,004,475,997,
785,089,064,419,916,942,394,940,371,565,289,758,059,070,354,618,685,879,301,
514,738,859,211,352,040,976,035,316,832,594,480,156,430,570,195,142,560,414,
919,058,411,583,183,061,812,266,487,185,479,168,791,151,271,250,846,711,284,
950,456,444,913,427,533,170,174,204,890,359,964,008,557,235,318,214,045,623,
907,530,943,276,150,592,557,279,993,598,896,602,229,993,037,872,943,887,206,
161,153,244,056,814,743,042,385,677,476,097,628,790,095,310,667,942,138,247,
608,134,795,625,845,634,160,524,786,659,952,826,259,084,452,958,555,217,295,
681,054,630,920,844,163,829,200,718,595,802,864,815,023,811,236,128,997,455,
020,085,540,702,621,275,671,812,833,730,909,196,421,840,090,301,169,072,223,
233,533,677,423,232,815,057,251,259,416,476,288,021,326,950,305,493,621,675,
312,600,037,486,689,334,318,371,572,283,010,973,186,134,516,998,959,192,569,
054,518,756,873,865,874,082,934,826,594,701,164,767,646,039,534,960,177,328,
645,209,301,878,866,648,430,573,635,696,387,046,999,438,879,193,480,901,531,
501,269,877,859,406,042,275,813,745,412,515,629,597,053,423,783,047,363,264,
884,169,649,893,607,735,612,814,693,730,427,021,987,974,124,472,743,017,699,
530,821,867,988,148,383,665,662,039,992,288,819,872,094,956,614,972,880,160,
535,273,264,283,749,379,180,785,488,677,773,210,917,555,328,302,865,648,060,
721,772,299,673,344,189,050,618,003,045,173,453,901,090,119,215,987,774,779,
920,544,736,520,817,393,228,911,559,813,160,498,938,789,511,098,761,099,898,
623,113,230,581,271,619,375,396,554,515,648,396,565,216,096,460,112,576,305,
784,419,296,641,410,916,007,583,913,490,047,853,960,208,795,042,917,114,899,
226,537,009,877,859,316,200,139,501,426,226,420,938,872,357,667,350,039,953,
299,808,176,862,378,457,743,860,330,108,772,615,950,195,542,074,661,969,497,
506,679,112,630,375,109,534,084,553,156,719,723,445,258,338,638,151,108,506,
912,686,279,244,001,243,074,799,260,207,511,198,145,665,208,483,583,787,544,
756,941,935,145,453,381,758,800,836,956,620,174,409,655,422,085,472,958,019,
195,330,796,908,085,249,736,174,614,701,114,184,229,703,492,042,642,424,009,
699,698,166,488,414,695,643,560,034,818,377,613,478,769,926,517,930,208,170,
960,793,240,342,967,758,969,637,772,650,644,916,749,054,910,243,188,010,923,
601,042,750,532,890,094,403,763,889,619,364,506,910,865,973,599,059,474,718,
946,840,671,151,939,669,681,805,410,502,020,824,796,302,463,799,333,516,484,
550,323,060,805,202,683,486,552,655,810,185,017,587,999,758,751,129,350,403,
097,728,992,721,924,410,392,237,398,339,569,461,482,093,091,818,915,646,939,
187,591,433,335,718,274,211,203,995,185,455,250,951,543,617,720,602,990,138,
995,611,147,570,647,724,070,988,271,769,782,224,299,745,759,941,935,361,560,
398,572,334,325,517,271,126,983,087,064,353,152,824,278,033,686,543,627,617,
245,715,358,201,895,010,424,934,929,849,633,877,603,721,601,899,426,953,255,
910,611,190,710,510,701,836,776,752,160,464,260,270,920,439,921,446,556,212,
492,227,141,556,114,227,676,744,591,755,133,992,154,911,130,936,797,550,184,
445,657,937,912,818,730,714,251,931,593,018,661,228,746,937,328,261,698,544,
492,519,311,472,363,272,994,752,034,870,386,166,223,881,508,806,364,873,828,
035,781,982,889,952,922,004,590,412,262,122,890,525,973,968,900,720,623,056,
686,720,473,513,160,579,640,001,792,626,271,287,479,231,701,934,035,360,896,
372,392,540,480,010,471,809,444,267,209,043,658,626,224,786,516,278,433,474,
508,669,389,887,534,093,945,297,506,421,283,252,176,924,955,000,455,113,981,
989,674,676,924,934,322,082,848,565,042,883,446,501,838,619,112,306,859,956,
562,993,792,554,101,743,330,266,227,288,270,494,952,853,917,189,392,989,551,
328,305,429,962,581,477,537,473,531,253,108,764,361,900,933,805,379,966,529,
675,209,709,400,510,978,899,823,765,244,316,298,478,436,038,316,070,679,842,
061,808,484,331,199,354,311,630,637,894,905,650,401,642,546,809,081,032,216,
689,414,267,189,999,964,447,812,206,399,094,820,083,242,151,289,578,068,388,
969,785,246,156,025,227,505,218,166,260,144,949,253,347,897,529,775,370,686,
739,139,708,209,103,488,800,528,562,159,497,439,191,648,307,882,604,585,798,
025,992,558,864,055,484,168,815,619,380,485,563,950,625,985,159,852,039,151,
768,739,942,326,382,129,770,704,287,417,887,678,723,258,860,667,969,339,888,
101,662,989,277,912,078,812,958,983,157,785,250,228,272,238,047,883,596,680,
006,917,547,046,296,315,987,764,105,151,407,258,962,146,542,896,566,872,887,
444,709,383,859,729,433,535,336,332,277,696,614,046,030,978,638,958,120,241,
917,938,695,397,382,558,796,494,063,888,160,040,280,516,384,113,205,203,209,
480,319,381,697,991,624,707,794,261,114,326,999,867,565,096,740,345,772,712,
043,299,641,043,467,556,670,440,979,306,107,160,826,817,299,217,015,522,709,
815,002,601,439,950,645,677,907,610,406,342,357,535,239,460,064,359,412,467,
384,956,262,689,895,646,466,969,451,181,982,594,130,689,744,993,261,769,677,
525,285,710,436,958,000,756,549,496,902,417,078,263,642,414,738,410,249,675,
941,735,658,613,498,814,854,545,445,919,909,056,857,754,631,299,820,598,599,
810,782,781,821,079,543,861,027,525,331,867,805,818,046,254,849,128,248,291,
643,735,223,929,748,830,462,833,382,464,767,903,872,849,217,091,421,552,008,
782,123,908,525,285,434,268,394,711,294,577,194,676,175,605,492,109,950,077,
587,817,516,455,089,287,628,682,652,785,237,734,381,365,089,765,091,399,531,
874,068,964,522,263,600,833,931,620,859,917,801,632,567,334,047,396,660,530,
282,467,020,070,431,208,004,061,933,430,245,670,772,812,866,947,697,082,269,
279,434,723,334,787,907,260,037,081,666,442,802,510,186,579,721,138,013,931,
773,424,480,022,515,813,642,542,807,451,397,957,703,732,235,269,862,352,574,
342,003,483,595,688,234,203,279,238,070,793,613,256,925,162,033,377,221,897,
122,932,400,536,773,664,478,112,613,433,458,954,567,052,705,299,245,061,977,
766,372,084,274,795,173,626,946,340,706,549,662,541,503,606,021,919,309,056,
503,047,265,576,873,519,029,867,396,391,675,968,034,103,346,469,399,731,985,
947,347,512,569,655,844,921,072,262,677,893,142,395,247,319,562,026,392,448,
332,886,687,035,586,436,681,545,662,641,732,249,334,338,775,080,971,900,280,
443,861,308,477,805,602,449,381,282,333,623,924,284,204,538,368,783,789,518,
514,695,646,872,148,857,496,674,872,986,474,981,176,396,106,066,827,057,142,
922,612,495,846,004,988,041,281,157,438,779,472,046,915,960,894,515,701,785,
110,076,460,962,744,890,277,844,899,293,081,502,684,873,991,748,195,598,583,
566,037,737,564,039,742,189,792,880,681,978,555,912,137,973,388,298,257,165,
452,217,971,738,712,608,572,338,672,838,182,960,629,646,671,836,106,853,966,
270,413,464,834,478,957,494,231,071,703,367,979,594,313,636,562,519,805,938,
037,699,543,838,094,800,913,453,997,070,317,660,605,595,437,719,109,366,766,
108,004,404,906,924,534,701,926,448,924,452,592,353,628,206,529,904,819,902,
484,266,947,506,191,726,359,837,789,599,437,359,705,721,151,417,538,451,436,
022,722,640,594,461,858,681,436,453,154,822,875,313,123,801,751,054,122,836,
566,438,893,712,979,138,989,293,609,772,667,599,132,696,729,339,031,368,552,
889,966,621,529,526,689,209,649,168,120,447,087,882,940,214,528,191,519,223,
950,907,398,725,183,474,784,217,350,621,703,432,206,264,179,648,680,703,475,
589,416,142,816,617,726,519,285,331,187,536,013,604,260,708,277,592,362,283,
166,561,773,576,594,359,704,840,795,597,442,732,026,450,104,004,699,629,262,
637,457,015,083,647,765,022,217,794,493,030,829,892,271,382,359,205,738,187,
899,878,245,386,283,660,062,327,819,778,768,485,197,816,910,173,332,619,619,
292,575,834,351,320,218,985,022,475,998,884,981,636,145,145,455,747,800,945,
451,746,261,286,272,977,117,466,650,445,988,504,661,193,413,105,768,642,767,
242,652,699,628,957,884,214,185,670,847,870,183,055,867,781,567,782,678,100,
685,438,098,909,509,006,972,266,992,824,818,985,958,224,189,136,117,125,114,
641,488,334,682,654,992,917,865,827,821,916,939,550,855,021,362,607,783,375,
475,041,924,373,960,543,793,154,395,411,772,995,107,293,796,650,980,401,890,
662,600,368,552,613,824,244,810,709,476,283,713,097,516,857,751,869,340,767,
438,427,078,118,078,220,437,988,239,344,151,023,154,709,912,892,847,791,834,
097,967,384,081,943,015,838,231,690,699,258,084,518,185,163,085,431,598,951,
783,929,502,880,026,976,689,273,180,227,578,605,594,346,494,508,966,980,529,
783,521,053,685,014,633,430,449,211,539,949,201,848,822,081,362,243,771,062,
892,799,555,162,597,997,173,376,319,904,573,828,258,866,259,793,672,883,277,
748,393,540,040,403,198,600,079,640,062,330,288,150,847,215,178,804,168,506,
374,635,428,506,293,371,114,187,725,286,793,463,978,358,587,045,532,949,704,
797,136,430,872,998,703,361,367,959,288,552,177,072,911,203,917,237,082,450,
340,814,985,205,546,476,526,585,934,485,088,055,121,518,004,993,673,178,612,
771,104,629,979,701,560,921,793,095,168,188,772,360,669,144,381,349,305,454,
273,706,524,552,498,887,301,028,079,960,396,294,438,028,077,141,925,336,271,
547,232,503,838,655,073,652,450,047,172,555,724,908,539,237,256,429,424,435,
485,179,612,179,659,163,825,241,325,778,501,081,857,995,698,764,212,195,713,
303,902,307,908,685,723,730,732,194,483,884,194,798,237,773,425,067,508,102,
083,841,394,612,813,992,473,037,853,527,560,723,655,313,687,237,704,442,885,
491,475,154,538,363,543,785,315,874,572,929,185,290,150,651,297,949,631,660,
091,530,679,200,576,853,423,525,723,002,364,973,520,279,276,657,742,862,508,
214,791,641,800,769,244,577,755,514,350,436,334,175,526,465,859,789,301,410,
312,623,953,966,760,397,255,925,202,616,536,102,844,047,886,308,159,764,698,
218,072,770,040,001,027,343,725,015,434,348,899,855,343,583,414,783,958,707,
853,714,652,282,652,928,931,510,856,308,760,615,402,708,496,149,314,693,347,
778,888,235,908,514,370,244,766,502,512,482,836,264,231,597,306,255,872,790,
307,150,499,569,524,960,338,138,193,702,609,537,890,820,064,576,345,644,529,
203,520,606,085,001,158,846,760,536,996,394,973,742,051,563,930,126,571,110,
052,571,296,715,456,175,006,638,904,623,172,189,558,181,819,132,453,489,186,
064,907,254,510,185,461,097,702,041,826,394,749,865,625,119,402,151,950,748,
636,059,891,963,622,782,205,510,372,141,939,710,469,422,295,527,867,507,849,
466,364,491,451,128,025,384,310,258,043,236,461,919,444,276,553,460,513,521,
899,426,825,252,722,434,902,675,881,360,109,952,524,365,155,118,152,685,470,
645,010,094,394,561,552,287,224,050,485,065,990,258,004,199,158,420,474,050,
013,290,959,400,842,700,477,062,089,146,634,231,396,112,103,566,519,630,065,
882,761,691,260,080,085,304,197,167,097,009,135,895,290,504,264,196,835,796,
134,738,876,760,319,200,753,805,127,377,658,065,817,142,971,663,328,854,891,
372,616,688,776,299,479,351,130,558,727,325,703,449,126,669,738,828,878,457,
694,051,849,746,781,227,303,820,878,015,159,900,049,204,598,342,471,479,921,
836,022,817,386,321,857,296,908,297,419,821,551,461,679,449,165,725,086,947,
852,859,676,879,843,788,519,482,293,405,939,216,216,691,834,831,279,618,244,
722,713,066,933,042,670,815,932,504,297,718,145,682,283,141,308,963,970,415,
559,670,698,730,180,479,320,153,994,801,331,708,965,739,450,497,598,242,582,
195,102,788,549,234,859,555,889,379,930,140,210,728,790,306,793,176,342,883,
575,419,533,899,435,429,292,343,937,312,550,260,757,461,053,170,976,650,581,
750,933,940,464,563,166,081,814,148,341,123,132,101,945,885,568,948,628,861,
389,067,428,635,081,114,662,663,398,972,605,574,853,626,238,709,208,432,606,
151,460,369,048,210,929,148,742,054,643,833,874,379,552,544,340,604,940,377,
488,819,104,729,266,732,034,195,738,533,455,708,411,158,613,586,864,825,870,
801,095,623,864,085,222,220,199,101,215,393,205,423,967,773,004,823,446,923,
706,885,167,151,655,260,335,289,166,107,325,061,415,529,812,122,775,235,008,
209,208,485,048,664,118,149,863,622,142,916,293,967,702,700,314,346,068,579,
328,682,574,580,236,035,396,857,920,979,025,523,066,703,866,163,873,021,911,
211,348,847,423,580,513,829,344,369,323,366,311,727,266,149,725,365,155,742,
998,769,775,648,940,779,989,475,009,322,219,956,388,814,134,450,265,164,296,
705,055,612,469,862,434,380,888,208,720,733,920,753,640,379,214,505,474,746,
173,003,680,675,020,227,724,726,912,131,403,065,177,877,661,883,793,708,219,
729,731,780,556,440,544,890,367,777,557,325,537,041,477,268,922,372,238,373,
710,598,845,386,623,652,770,304,184,086,365,440,722,998,190,926,247,095,109,
097,453,732,418,975,285,167,879,199,045,667,771,975,961,612,660,513,408,034,
039,417,362,064,739,306,461,206,870,709,130,373,026,740,274,461,597,947,390,
654,014,558,096,547,431,858,309,492,608,204,545,627,991,211,943,695,683,284,
520,518,180,062,950,292,823,717,175,456,334,290,009,102,026,614,785,006,585,
658,654,530,855,310,910,444,693,350,536,026,726,422,909,026,277,687,831,018,
161,600,334,502,375,935,739,430,393,049,118,313,727,062,644,458,419,709,786,
431,428,343,556,912,638,839,971,283,286,230,256,879,985,296,474,609,850,978,
921,019,546,459,982,440,082,698,781,361,285,104,334,354,254,071,752,644,628,
551,501,710,306,185,026,931,606,709,817,960,445,551,013,549,273,825,374,622,
977,982,830,019,245,851,417,049,424,651,190,915,081,511,696,976,221,565,635,
306,187,804,246,126,968,771,570,120,833,253,976,456,924,725,020,248,545,708,
876,468,245,483,664,741,713,476,887,431,102,093,983,579,652,083,872,255,693,
126,983,902,099,391,211,008,155,708,212,805,849,737,962,934,861,275,636,740,
697,247,085,527,064,247,319,325,142,461,822,784,256,297,244,382,509,854,272,
698,765,873,831,841,144,659,357,496,328,844,496,676,377,483,701,444,701,188,
389,237,448,235,392,538,545,692,608,692,361,389,060,920,877,090,177,072,612,
311,667,964,033,021,407,131,419,922,877,934,235,521,301,823,417,501,002,343,
608,063,927,264,012,551,928,648,739,445,074,032,201,187,836,830,174,809,255,
166,470,934,138,146,193,746,389,575,632,878,477,837,837,593,947,584,537,482,
368,424,450,797,329,960,622,707,608,610,609,052,434,112,288,011,132,745,430,
894,461,887,820,404,235,432,927,122,031,759,323,697,347,074,662,617,286,293,
569,012,169,725,278,725,854,591,472,535,841,589,977,749,675,561,076,178,010,
395,941,084,348,352,877,787,626,075,973,208,655,784,722,746,765,398,600,765,
409,355,090,624,654,198,153,959,721,338,492,451,962,600,271,858,247,926,473,
095,538,019,413,666,394,011,073,835,487,064,458,879,566,194,206,905,704,996,
566,208,813,140,716,976,791,793,532,492,883,527,987,261,248,217,464,102,463,
418,788,729,018,808,207,873,051,099,917,990,677,861,648,925,028,246,422,114,
274,548,015,935,100,944,673,093,176,716,957,473,480,392,248,912,838,957,067,
298,381,839,204,317,012,617,588,634,994,056,965,773,211,243,772,128,153,986,
674,104,646,613,789,914,870,884,457,772,860,221,936,844,873,636,123,012,700,
989,174,581,671,335,121,154,352,679,313,086,102,216,479,215,441,391,335,479,
521,733,258,446,815,324,227,647,101,378,668,580,081,134,459,938,516,972,214,
593,048,318,806,731,704,064,757,124,072,813,281,559,265,833,321,840,566,555,
016,834,206,633,650,994,896,684,703,711,513,633,497,456,926,377,696,940,224,
476,476,478,138,191,856,652,605,842,807,491,961,387,857,231,891,573,312,769,
418,678,940,872,512,847,993,572,776,949,664,271,291,445,401,704,237,003,743,
088,501,445,307,832,170,881,908,844,029,800,471,199,574,676,699,811,703,518,
184,824,040,576,851,309,835,193,016,544,329,557,391,388,948,399,459,638,990,
696,453,842,325,223,583,763,505,344,224,578,332,692,481,966,053,923,047,671,
198,509,805,642,160,799,809,368,101,903,312,444,524,392,803,840,679,748,986,
613,486,144,918,266,592,980,520,606,700,469,241,911,929,502,671,256,758,803,
323,096,019,916,151,582,779,431,694,540,039,980,606,269,172,758,478,921,499,
444,699,667,939,476,428,814,098,435,424,426,748,949,852,435,194,754,608,745,
079,325,243,561,143,921,375,692,766,264,074,237,855,088,210,473,931,385,411,
626,882,427,193,326,088,240,748,802,503,172,845,646,610,351,722,396,498,269,
428,181,092,497,769,659,722,776,865,001,786,049,828,026,900,002,339,949,633,
065,137,440,594,209,026,450,002,385,158,749,667,506,382,757,072,076,347,179,
230,692,457,845,223,800,192,082,857,692,116,562,611,999,020,357,658,836,990,
829,439,020,397,222,367,472,262,951,626,277,668,682,414,725,707,870,253,731,
283,256,448,153,769,580,018,543,784,100,220,282,469,266,925,643,410,732,018,
968,976,051,924,204,514,497,846,399,434,020,825,280,094,234,067,295,422,468,
093,480,811,409,688,515,247,371,708,113,565,741,790,806,226,684,903,438,009,
080,680,773,140,845,810,638,311,016,596,264,525,869,710,169,071,223,537,468,
482,886,949,764,674,167,063,345,965,913,150,875,306,869,545,633,500,598,617,
365,147,638,208,825,912,349,514,287,577,678,379,252,387,448,265,937,495,409,
314,785,518,467,870,524,836,015,398,299,804,808,759,274,868,458,914,583,021,
007,870,044,426,338,193,893,681,056,055,183,443,175,800,612,510,888,358,594,
601,025,854,976,156,320,510,597,653,949,093,314,788,105,993,951,448,984,283,
339,111,244,110,546,109,471,583,716,977,386,106,241,134,520,677,439,769,289,
135,373,674,919,861,502,262,858,103,817,462,607,479,646,835,253,161,405,137,
473,985,250,480,525,539,053,306,453,135,587,132,470,043,236,121,593,927,326,
469,785,638,210,575,971,735,916,205,885,978,668,234,170,878,213,055,611,242,
284,695,107,010,715,431,567,072,506,608,320,059,125,715,748,269,543,941,923,
137,228,750,678,814,291,353,838,413,562,007,693,209,513,056,487,252,575,310,
090,205,447,164,541,303,610,170,849,657,851,284,955,164,217,350,860,993,511,
678,960,161,755,651,808,020,582,899,742,070,462,561,948,686,521,421,496,544,
921,579,184,545,118,423,295,236,585,131,387,719,574,536,797,276,597,904,253,
426,880,463,024,056,088,662,311,978,673,555,076,980,881,687,860,373,347,593,
942,423,373,756,458,529,761,310,783,619,301,463,231,444,827,176,576,419,390,
431,637,006,188,285,681,824,161,321,697,457,753,104,543,205,168,899,485,885,
297,945,637,593,587,138,997,746,164,434,395,528,472,172,892,548,062,353,404,
322,512,588,065,698,337,500,117,453,721,099,172,628,465,852,546,346,596,965,
918,272,344,977,402,493,833,699,889,966,924,649,282,272,546,037,004,714,189,
636,034,769,268,138,845,835,359,852,551,393,048,686,058,751,493,510,973,107,
592,315,153,605,535,750,969,583,732,541,821,698,392,886,299,428,102,375,726,
672,226,804,023,803,162,935,837,263,755,079,086,346,353,523,307,572,626,445,
009,816,783,227,710,759,148,953,397,500,606,269,896,124,733,414,701,861,191,
557,029,345,664,549,583,508,807,175,842,172,504,663,576,546,529,238,254,028,
956,433,918,711,980,538,767,263,064,848,268,120,866,467,101,721,564,920,518,
716,682,031,767,090,595,189,411,344,274,599,929,868,921,920,389,244,992,553,
859,616,189,291,369,117,348,834,158,647,126,889,245,104,560,161,934,286,259,
500,013,273,503,437,051,236,425,072,813,858,443,273,507,018,820,926,509,191,
627,247,044,504,986,691,932,379,868,009,912,355,753,777,241,909,455,092,145,
738,617,720,012,519,485,104,309,940,120,036,316,669,728,465,269,749,321,861,
780,841,452,294,234,228,015,506,040,033,727,900,892,773,670,636,776,407,635,
419,410,633,266,036,491,913,167,837,171,308,930,794,509,057,936,783,805,232,
347,582,733,734,121,547,780,479,111,520,494,734,447,184,437,073,427,360,887,
170,507,789,922,491,733,724,574,833,034,134,544,368,316,335,804,488,508,601,
538,175,251,257,356,014,088,386,086,333,935,420,235,229,030,393,966,829,004,
622,331,977,396,993,336,710,305,338,143,233,913,764,244,688,543,554,104,774,
038,064,818,623,671,613,458,082,679,026,192,684,490,508,867,704,978,896,818,
557,337,470,944,371,296,833,277,677,307,446,390,326,525,925,658,078,517,024,
351,897,004,116,024,748,896,656,117,205,382,260,075,170,518,790,006,507,996,
562,458,936,180,234,755,550,328,150,064,354,585,889,449,732,619,000,957,058,
794,051,866,740,178,068,645,263,273,477,715,208,166,492,114,248,489,432,785,
708,242,834,816,240,419,210,639,112,685,637,738,168,114,872,770,372,304,403,
556,907,281,756,914,293,969,793,379,602,373,078,700,993,403,160,342,332,460,
282,986,331,455,605,116,945,416,581,957,016,143,754,211,387,833,236,594,091,
455,565,082,429,919,793,208,781,834,378,737,989,403,655,962,841,154,383,588,
908,871,675,755,532,694,177,844,649,079,400,486,859,553,543,074,303,027,969,
105,080,700,621,526,906,281,970,834,108,396,143,118,420,228,083,203,945,987,
961,858,562,293,005,101,775,685,681,909,056,083,756,468,439,123,826,569,267,
025,727,183,845,500,104,490,338,182,888,340,416,685,513,861,494,473,952,431,
695,377,770,624,606,415,375,417,420,083,398,338,454,366,816,502,176,516,005,
741,489,698,493,670,444,543,091,114,525,889,726,376,994,031,692,844,314,563,
069,345,935,469,656,681,948,506,249,883,924,540,796,518,923,458,883,752,463,
903,414,268,312,064,908,303,615,370,823,201,832,830,284,157,214,743,986,230,
607,293,821,414,082,938,249,782,566,653,089,351,044,365,056,623,732,711,361,
117,793,604,592,240,392,392,931,290,590,697,989,391,069,941,999,342,859,724,
513,676,697,524,045,951,367,492,725,886,426,335,612,235,182,325,314,308,159,
485,570,704,084,449,507,383,006,620,450,363,428,842,648,604,879,515,454,858,
131,067,902,066,676,679,029,697,627,570,672,825,424,876,639,435,315,196,700,
863,491,804,246,732,078,799,377,702,426,934,830,093,928,640,294,240,996,845,
055,537,698,425,902,084,053,002,758,527,810,792,457,015,414,520,194,239,178,
198,635,042,933,565,155,124,470,751,034,550,865,925,025,550,003,755,349,430,
888,378,383,648,662,480,357,755,537,902,595,514,769,507,315,805,254,334,641,
540,455,644,599,246,717,368,065,153,899,114,832,324,802,501,272,220,968,291,
294,931,600,510,733,592,025,235,299,630,791,251,974,667,380,669,006,003,399,
115,380,636,782,077,241,114,212,225,381,181,745,116,505,921,827,547,903,801,
867,132,320,038,006,382,000,052,233,479,132,658,387,949,700,054,524,355,095,
954,055,554,420,512,375,960,079,565,691,887,650,966,407,194,263,590,415,862,
898,554,938,231,672,306,997,459,004,308,955,375,514,469,318,135,434,001,505,
396,724,790,489,647,987,788,483,882,279,020,745,669,580,650,183,751,347,715,
959,862,179,410,752,048,919,965,058,520,568,531,882,135,318,905,623,511,943,
239,050,566,692,467,862,621,787,773,316,285,149,477,837,682,208,589,204,829,
112,117,744,744,898,991,292,213,613,795,324,651,211,350,123,962,646,662,855,
204,996,138,209,343,611,042,790,898,249,251,201,573,625,212,365,941,738,456,
159,891,930,777,133,573,187,406,963,462,824,797,326,238,932,006,275,823,895,
786,781,839,262,674,981,453,411,155,837,233,665,838,395,976,110,702,937,217,
290,750,710,264,360,047,974,789,114,198,490,565,807,460,040,849,819,372,134,
131,380,519,648,330,412,366,890,812,634,734,170,986,108,699,116,572,057,864,
887,520,895,816,581,066,644,922,002,203,673,538,106,993,122,144,718,954,221,
306,429,989,790,633,463,823,305,982,048,648,600,171,932,083,285,245,518,207,
798,078,864,576,968,868,117,250,341,186,685,563,108,782,755,570,406,831,104,
460,747,443,552,513,624,704,813,079,154,390,975,136,810,637,224,038,530,188,
908,706,328,580,473,124,282,012,278,821,842,412,409,624,672,998,479,943,978,
040,179,922,283,698,292,448,255,703,044,256,920,419,689,996,067,249,902,899,
703,103,013,516,732,314,133,553,774,528,951,457,794,256,401,661,790,693,128,
967,408,506,712,197,003,169,397,246,402,568,234,374,354,831,471,796,875,012,
717,095,602,771,370,469,833,900,893,268,131,659,709,591,653,300,881,008,146,
993,935,887,810,429,574,373,719,654,172,317,722,740,693,414,143,206,571,399,
580,840,631,527,203,203,414,208,198,924,981,362,018,609,458,057,475,214,573,
888,148,766,887,898,738,336,626,092,960,132,903,908,571,665,107,849,979,034,
687,260,989,429,760,998,249,454,067,289,713,865,976,378,533,358,589,070,308,
196,742,467,553,813,241,260,001,818,013,420,011,181,473,189,767,416,522,697,
760,755,108,793,145,168,906,429,432,333,430,141,846,421,388,221,687,436,052,
076,446,262,242,558,739,821,049,501,147,927,701,170,482,762,154,341,542,049,
415,992,436,579,022,386,072,831,153,957,350,043,304,621,376,245,863,065,154,
155,869,794,906,082,269,606,477,500,352,593,571,178,967,409,808,276,027,423,
955,357,484,194,346,498,869,252,148,419,609,408,866,273,678,750,028,135,698,
054,007,514,076,320,733,999,947,035,316,892,887,681,564,461,663,957,032,829,
982,346,945,070,265,052,769,991,855,260,902,457,667,461,591,251,248,381,966,
284,637,917,899,132,528,790,787,032,637,319,891,920,798,824,291,477,174,859,
873,504,087,577,321,288,309,790,738,300,908,631,692,178,287,737,327,683,941,
543,450,676,468,790,703,587,696,924,495,076,911,689,227,535,245,470,702,144,
485,016,918,367,140,329,543,933,509,005,529,049,102,065,830,224,747,691,682,
603,463,345,843,401,313,375,219,605,379,318,352,144,675,333,539,419,227,293,
198,351,562,909,755,468,460,161,317,041,602,539,782,917,364,763,126,878,026,
137,031,089,550,378,287,447,186,819,026,627,849,276,952,782,788,575,367,667,
656,647,290,066,769,181,097,210,449,879,289,612,944,223,081,528,801,603,719,
729,177,904,745,008,538,832,454,752,100,256,314,806,782,749,718,591,746,268,
802,441,958,941,472,748,897,222,021,782,095,567,425,005,543,020,146,971,747,
578,026,387,865,336,514,773,865,291,562,521,883,493,984,540,925,142,185,773,
559,937,372,266,240,102,527,641,004,667,252,282,313,959,189,216,157,712,192,
413,614,407,206,154,047,198,242,424,665,762,717,125,056,856,235,150,340,188,
195,380,511,449,423,370,216,633,828,096,519,138,706,141,106,116,482,705,475,
468,770,728,669,045,449,444,571,770,696,410,315,440,405,837,826,597,599,396,
283,439,418,484,844,365,282,413,406,775,593,132,462,788,926,657,294,373,380,
994,571,357,138,110,906,174,020,661,891,384,140,773,157,127,103,342,391,576,
880,164,322,771,044,042,256,382,378,976,140,589,756,462,757,993,834,442,753,
651,884,927,002,722,814,888,361,331,784,774,292,702,066,410,569,630,514,182,
632,787,530,119,029,663,251,161,725,925,354,745,418,945,144,856,596,587,885,
395,120,568,249,598,913,131,639,827,750,352,251,614,509,617,670,256,569,418,
601,522,663,836,520,500,700,580,597,606,844,495,103,224,605,977,863,691,716,
505,644,140,521,931,445,953,581,146,274,897,295,592,301,465,850,660,313,133,
650,793,812,533,952,628,707,590,367,488,186,886,186,639,852,122,314,403,792,
236,661,248,718,866,831,503,712,912,898,538,424,275,769,031,837,498,959,166,
873,226,730,852,608,309,251,766,040,402,179,479,921,810,565,984,931,868,069,
787,486,559,521,618,630,830,087,343,444,255,373,358,919,038,347,583,715,769,
382,814,183,410,729,671,612,413,687,804,266,771,912,207,047,569,698,766,701,
335,646,491,754,416,053,684,312,736,810,301,352,764,847,564,222,683,070,259,
008,305,965,436,323,914,189,767,497,013,741,230,116,229,268,617,240,779,701,
098,629,353,805,527,030,880,593,334,954,485,600,327,735,686,915,709,919,864,
973,489,380,237,949,865,978,274,946,040,045,690,460,635,997,443,844,114,702,
996,462,452,671,493,521,652,993,295,294,666,348,139,383,725,272,116,607,912,
736,642,662,331,630,229,640,205,440,413,617,878,342,158,130,143,742,001,047,
970,676,338,572,162,603,469,116,993,741,089,274,795,713,508,083,277,948,316,
385,021,492,506,662,805,818,249,368,390,699,372,644,325,811,269,955,384,806,
947,698,693,555,897,982,144,313,905,333,926,322,435,034,985,364,762,056,823,
807,619,706,375,514,454,598,897,580,241,279,768,550,210,708,054,739,775,073,
276,941,742,915,537,416,550,501,145,697,357,473,259,027,907,042,210,416,756,
423,547,173,593,659,623,775,183,927,928,957,185,424,722,758,584,734,180,237,
478,009,137,143,432,830,601,404,775,743,832,419,822,860,696,971,380,201,896,
550,431,496,218,604,764,776,637,638,559,594,720,609,018,982,558,470,384,911,
201,252,420,737,675,773,719,303,317,889,509,048,289,645,471,116,626,411,221,
929,434,665,856,430,664,171,859,729,659,554,637,358,602,814,668,443,526,754,
603,828,911,482,607,539,089,691,488,772,704,088,870,870,522,742,293,212,981,
286,982,860,862,143,178,887,027,107,268,124,092,017,442,051,343,067,855,099,
782,096,369,354,096,912,695,508,344,948,538,319,649,530,084,317,795,425,271,
159,196,425,855,079,110,509,094,231,389,046,741,464,252,959,702,126,613,106,
407,699,599,971,689,438,663,000,745,063,254,237,317,258,987,995,411,246,751,
646,344,103,479,902,376,249,125,974,539,442,898,999,511,238,940,986,909,019,
804,355,788,417,484,103,110,477,156,799,717,311,310,596,758,160,352,180,951,
550,035,206,390,888,103,468,131,008,879,395,589,220,325,593,222,752,384,588,
826,909,809,041,795,946,056,336,960,661,665,958,078,542,023,167,689,520,032,
548,159,792,213,994,407,626,106,004,858,700,056,295,952,391,368,066,948,222,
326,381,281,755,592,309,226,171,239,673,717,119,444,190,793,818,657,348,097,
244,607,912,204,504,485,695,184,154,052,437,833,587,763,688,865,697,211,576,
931,491,084,532,017,696,712,719,279,493,204,746,764,055,696,789,741,314,069,
390,092,656,167,747,445,338,721,675,939,583,980,098,526,959,243,584,242,668,
948,917,457,921,922,809,578,904,438,541,143,425,404,089,829,958,546,201,104,
708,124,036,484,000,062,496,008,205,273,782,536,554,919,354,492,125,123,331,
902,415,016,941,183,570,588,914,431,279,615,267,142,047,637,945,216,232,838,
724,182,981,948,078,896,287,686,218,762,207,729,438,319,794,499,906,774,752,
452,750,056,684,670,607,998,632,076,483,250,470,153,065,401,354,114,905,444,
189,592,892,147,576,913,960,144,388,678,601,671,368,118,610,837,675,527,706,
127,031,147,329,824,728,514,701,760,901,498,117,236,907,632,425,778,040,436,
291,907,115,661,393,533,606,672,572,065,906,850,909,881,769,563,470,922,329,
700,433,385,640,156,936,865,901,916,937,248,139,378,450,466,744,266,754,799,
592,309,437,463,852,405,354,551,336,533,961,477,379,684,234,605,186,117,972,
367,984,751,331,558,740,848,168,840,735,708,781,103,943,184,276,182,945,506,
399,003,488,970,848,669,238,644,390,343,256,768,208,832,066,249,859,834,023,
437,526,261,294,018,120,168,576,778,478,115,544,621,721,703,938,451,483,373,
191,259,188,327,430,142,673,995,262,677,942,790,461,750,492,647,661,231,942,
274,489,857,481,465,235,436,986,054,498,989,955,657,301,512,598,820,306,477,
207,336,049,369,030,169,300,406,060,043,368,723,176,859,988,251,809,438,834,
566,909,046,327,519,266,312,452,092,004,249,250,420,601,189,318,806,921,216,
016,614,776,748,376,464,433,761,267,438,380,421,830,599,733,149,594,518,985,
462,697,669,243,338,903,101,226,800,136,349,874,248,155,145,386,384,344,972,
112,269,777,282,866,970,039,536,737,593,082,033,899,481,141,570,057,651,629,
611,666,297,854,256,059,603,740,578,444,374,520,001,133,160,758,139,433,678,
325,578,852,073,297,486,585,882,071,885,967,138,771,501,469,328,327,499,900,
983,287,285,210,349,200,840,926,720,725,877,354,091,983,967,858,876,044,009,
092,278,852,333,756,914,534,331,310,920,244,414,718,525,045,147,194,155,883,
017,248,332,501,625,224,446,659,229,866,086,524,294,278,538,029,315,927,915,
878,754,967,293,057,650,709,185,007,599,795,057,342,085,946,949,153,657,995,
375,254,974,800,177,887,721,477,091,545,316,735,095,217,284,711,357,661,989,
597,742,090,835,841,088,631,564,234,526,604,757,677,813,161,079,872,707,410,
943,294,045,382,571,863,163,766,485,359,376,569,853,491,532,227,955,942,871,
108,155,374,099,364,949,428,218,028,683,757,255,765,881,098,036,896,474,928,
466,622,925,473,205,506,681,726,612,281,593,304,508,376,954,411,912,244,076,
130,164,426,441,110,186,173,482,446,623,128,550,177,651,298,960,540,806,751,
467,656,752,430,037,157,335,176,010,260,051,568,295,668,412,434,138,319,306,
564,378,032,447,341,701,576,769,217,164,238,916,552,950,525,126,250,557,137,
127,918,596,747,356,408,038,641,635,669,115,126,280,946,126,747,431,181,552,
581,912,979,255,709,979,938,191,628,538,384,840,283,915,967,738,862,480,916,
307,960,032,966,500,649,553,224,134,511,412,860,975,606,290,909,965,244,132,
950,185,824,172,228,728,981,085,629,952,208,331,290,531,198,843,163,451,154,
981,788,549,245,237,382,644,432,791,177,564,882,057,306,072,447,317,142,137,
051,467,543,564,021,535,276,298,691,994,074,761,260,303,300,020,381,357,819,
166,365,730,715,936,527,641,036,872,556,125,441,261,970,124,700,275,028,042,
281,476,647,923,333,719,494,988,770,056,396,596,785,667,810,886,443,238,546,
343,508,571,123,767,382,563,646,983,212,241,238,873,278,774,433,444,207,054,
494,225,595,296,416,150,119,879,064,446,940,347,545,001,901,133,658,440,459,
558,712,462,368,908,506,498,755,501,408,753,605,248,661,621,041,538,552,507,
926,013,767,991,319,017,176,991,504,946,037,268,099,320,576,891,118,207,033,
636,817,674,631,480,637,215,422,618,016,899,854,180,183,056,980,227,682,334,
055,191,214,994,207,990,226,597,124,926,113,112,294,079,237,628,678,087,199,
358,387,286,773,201,962,311,411,763,803,178,381,385,658,527,679,110,883,702,
976,398,594,015,025,703,654,185,577,232,483,176,543,405,931,564,381,448,434,
590,136,709,572,906,456,367,184,090,371,051,409,008,576,218,678,083,824,577,
787,265,383,338,875,792,267,576,169,717,262,511,542,756,752,688,157,242,273,
095,679,126,433,699,613,142,890,497,876,750,985,967,928,954,998,414,064,458,
419,145,198,267,413,751,054,707,204,346,789,864,500,478,319,044,585,398,488,
803,061,788,965,442,314,113,651,109,338,250,934,078,183,863,549,022,278,342,
303,019,026,819,331,276,709,713,932,601,888,825,118,581,072,303,592,886,539,
814,392,670,927,828,709,798,333,407,388,936,034,105,472,179,775,090,354,444,
039,721,845,943,790,943,430,127,896,941,487,662,036,866,006,388,160,528,958,
768,005,196,038,250,149,317,277,125,795,315,430,211,816,283,436,821,509,462,
954,496,435,129,451,188,571,439,945,602,130,854,117,638,665,614,620,198,983,
155,682,964,630,786,472,692,405,007,195,956,372,821,243,972,176,432,629,907,
162,350,268,297,948,958,654,835,930,258,147,829,963,840,804,882,142,107,532,
954,479,470,500,766,163,443,367,773,919,784,703,730,478,609,144,403,208,093,
998,025,338,549,227,123,150,578,778,069,058,398,292,104,524,993,026,438,640,
077,303,566,224,545,507,685,874,395,447,561,401,232,836,371,555,588,324,846,
092,837,304,494,774,969,324,028,047,937,327,044,966,400,199,089,337,837,373,
839,755,989,314,072,815,349,537,076,803,788,732,695,129,146,806,654,375,741,
221,381,532,483,272,629,300,260,221,196,473,200,855,121,893,422,838,208,160,
313,707,257,188,641,023,844,381,085,200,027,742,110,409,955,187,502,402,420,
884,128,740,113,379,156,581,335,216,371,274,774,813,708,336,121,734,279,233,
115,940,722,957,473,456,642,347,536,807,908,094,382,604,035,506,364,484,289,
485,629,922,083,725,731,530,920,785,520,750,737,103,627,718,608,148,761,365,
047,825,457,582,698,976,470,991,013,875,912,585,161,590,547,239,442,222,416,
887,968,275,643,076,280,111,429,407,397,180,681,418,868,424,724,903,352,345,
564,726,195,604,648,669,231,469,598,983,419,199,599,350,408,201,263,147,893,
031,089,930,960,215,369,550,476,846,173,758,494,953,395,983,825,838,430,661,
342,144,508,805,090,191,724,363,418,881,829,614,315,514,492,908,179,254,764,
273,547,543,515,749,160,368,756,053,760,939,579,646,209,782,742,395,467,866,
772,419,027,940,802,306,878,846,057,453,768,878,086,633,384,587,932,752,741,
962,084,750,327,066,063,542,675,967,938,743,221,404,415,870,038,701,816,628,
087,084,717,712,696,925,564,636,416,568,198,190,634,570,650,980,730,144,964,
952,854,625,888,358,752,529,603,642,960,505,349,243,538,275,126,159,642,036,
213,448,071,407,025,100,080,112,192,684,091,309,225,002,220,330,936,984,955,
117,496,019,904,873,557,466,321,826,045,053,940,266,562,465,855,703,327,829,
442,496,235,442,717,162,376,766,117,443,716,069,990,049,482,191,224,432,104,
569,204,401,362,054,845,322,515,671,592,473,334,328,106,634,568,611,862,333,
895,325,731,639,112,333,993,995,439,237,234,839,100,453,494,935,270,655,154,
037,523,784,922,467,398,809,637,953,021,813,855,595,791,554,853,765,637,585,
580,029,909,017,004,800,701,024,457,841,716,374,826,076,326,405,372,616,190,
237,328,262,192,549,760,666,358,515,722,869,051,411,026,310,729,069,222,536,
928,458,096,863,926,732,666,291,303,475,587,049,500,357,993,019,871,023,406,
883,708,320,992,299,701,268,015,910,002,200,915,344,301,565,325,520,006,104,
729,397,415,200,541,950,586,005,657,102,432,675,922,406,047,590,908,626,314,
180,330,336,566,389,176,255,660,082,662,869,616,917,360,348,992,522,602,732,
938,177,436,675,764,401,072,722,655,039,128,108,329,932,027,306,272,170,571,
731,454,173,903,152,746,249,994,645,228,216,250,090,500,233,467,883,259,931,
438,954,199,161,661,410,832,988,839,045,889,936,603,292,634,864,360,306,540,
351,718,057,028,857,421,278,738,789,398,072,146,703,250,183,592,327,635,741,
491,087,531,378,401,753,510,354,160,215,483,158,562,622,831,209,978,990,261,
880,076,682,726,316,680,793,488,195,099,812,616,248,179,186,397,721,919,065,
900,910,960,417,795,353,187,337,075,984,081,232,956,224,851,653,816,621,767,
746,417,085,709,703,687,418,589,989,647,827,539,665,328,941,758,325,372,974,
172,368,409,121,676,870,175,731,403,036,566,800,145,634,085,077,002,108,706,
319,235,958,101,190,741,075,942,474,372,365,545,798,486,990,061,279,176,840,
928,389,636,847,382,823,387,282,933,941,180,695,080,078,098,104,972,297,739,
895,077,907,900,361,184,164,478,152,958,870,004,799,807,697,904,647,995,935,
101,404,663,583,400,616,744,578,458,880,042,356,366,280,772,999,984,554,802,
537,493,735,940,605,619,776,812,345,840,182,228,405,437,463,445,707,541,076,
305,000,041,670,886,029,528,797,056,369,290,709,702,934,383,208,122,408,988,
639,205,496,661,660,278,427,105,126,256,880,180,191,934,680,152,435,878,561,
320,312,186,401,236,721,996,757,013,860,935,149,670,426,497,909,688,193,742,
804,322,532,251,715,312,788,095,613,512,086,504,355,602,451,562,194,683,545,
985,366,540,149,155,785,291,430,898,251,530,883,409,914,633,669,424,553,581,
964,944,358,804,969,617,553,444,404,831,223,371,103,518,202,359,334,694,737,
495,229,181,640,071,881,578,588,102,097,168,591,091,119,311,046,880,832,366,
185,017,321,205,567,683,934,789,861,788,052,776,133,471,292,194,867,638,082,
629,639,965,380,811,602,583,023,340,334,848,795,257,581,920,704,175,037,126,
179,947,996,094,317,594,988,935,226,454,072,556,626,157,379,017,481,818,280,
582,680,912,063,671,213,945,639,252,926,500,856,428,503,681,759,218,325,384,
937,351,555,242,158,999,503,648,959,062,579,259,079,118,553,672,196,876,260,
639,934,167,672,653,075,992,208,289,699,322,823,615,467,753,294,910,832,375,
673,412,321,510,755,672,732,770,127,413,748,119,968,434,225,097,942,956,428,
081,630,793,184,882,189,361,436,691,627,545,350,344,316,850,199,893,962,179,
291,044,452,392,718,097,544,851,821,934,814,293,083,937,819,533,021,179,477,
167,534,021,101,705,601,884,726,090,930,293,476,382,166,479,613,936,782,929,
720,440,068,790,062,551,373,921,240,309,447,482,741,457,718,256,040,087,343,
028,853,480,175,863,099,699,747,336,137,733,151,157,381,489,109,626,727,441,
434,037,249,581,645,432,618,586,552,124,900,728,310,352,346,071,935,556,342,
776,962,246,141,197,589,784,930,611,669,017,325,823,326,331,165,060,686,636,
428,081,926,061,882,126,053,953,564,102,633,792,904,377,424,063,989,560,008,
694,717,748,732,341,884,718,027,041,885,125,044,279,487,167,121,066,901,212,
556,612,863,907,958,297,295,636,548,080,521,220,328,497,880,440,821,246,188,
048,776,067,093,508,738,812,575,340,529,696,991,508,861,874,397,420,275,328,
677,054,650,384,233,263,543,153,598,139,736,050,512,887,398,789,880,620,129,
045,594,169,899,058,413,797,792,281,108,904,270,645,338,559,405,133,600,818,
876,362,451,196,115,651,315,198,847,054,792,597,434,446,650,011,184,075,991,
812,067,747,446,589,954,842,637,785,915,259,554,014,886,441,458,494,349,683,
324,402,008,813,677,258,154,110,814,564,381,697,321,102,624,038,163,783,698,
322,383,480,996,020,383,289,183,010,323,446,750,662,624,292,672,339,311,173,
060,423,597,227,516,048,584,120,779,889,967,230,651,595,377,457,946,872,930,
503,715,094,948,740,292,140,634,003,341,677,860,662,113,953,630,848,041,023,
732,811,267,063,199,521,660,302,823,924,805,260,343,600,173,039,647,164,812,
035,733,056,763,527,035,789,597,743,399,249,739,801,875,047,463,093,285,101,
874,387,235,099,789,790,139,998,598,425,075,485,189,720,448,536,813,644,682,
506,907,509,031,657,943,289,989,557,734,205,755,671,349,994,277,614,491,300,
790,116,244,698,221,374,754,804,491,090,718,078,933,258,995,284,180,899,917,
560,920,840,177,990,742,455,411,007,689,880,301,816,738,991,319,487,001,736,
378,825,346,095,960,872,312,751,782,193,448,536,182,630,859,037,475,443,078,
840,167,485,944,514,815,303,655,731,750,943,678,370,145,047,314,613,935,469,
781,190,533,209,761,813,209,437,648,124,223,288,940,143,950,889,497,166,321,
140,155,231,622,441,044,732,986,097,737,116,700,318,586,852,149,074,201,861,
737,658,434,998,404,315,081,174,156,929,829,297,931,777,553,034,954,625,044,
344,347,465,859,564,811,940,962,484,038,546,859,326,056,754,872,316,653,461,
706,919,845,284,920,518,414,440,567,115,895,907,855,133,186,686,816,736,225,
026,957,501,898,405,123,896,930,519,129,624,751,153,464,464,283,831,143,333,
312,562,742,407,761,400,982,498,867,039,202,812,167,339,955,362,657,918,681,
217,811,513,585,947,202,224,497,766,540,217,985,430,886,250,980,354,393,565,
191,944,999,917,003,720,217,495,834,195,756,860,371,094,499,448,464,286,164,
082,605,466,494,073,056,181,927,666,209,350,443,256,328,719,325,169,719,923,
587,528,891,517,650,266,772,987,844,329,119,798,675,986,818,047,853,492,243,
416,330,290,311,334,601,247,458,197,580,113,873,413,193,426,270,232,824,913,
199,371,748,267,772,595,416,385,432,928,054,890,484,294,372,359,227,697,430,
437,172,627,080,975,834,111,621,146,496,253,380,718,165,975,723,490,576,911,
882,131,689,400,701,829,088,235,535,763,448,335,215,110,426,905,984,268,239,
776,676,191,991,564,092,782,335,108,201,714,054,708,368,591,936,663,238,931,
392,248,335,417,312,777,051,283,198,894,887,678,100,572,743,719,489,471,081,
694,748,828,040,725,056,607,070,685,830,369,204,866,800,150,530,588,988,080,
926,142,276,090,077,706,667,515,670,523,134,226,912,841,018,517,187,754,009,
543,196,415,069,803,055,419,379,866,077,974,639,571,590,514,196,486,409,068,
884,003,651,023,630,640,395,457,493,027,936,817,259,534,656,520,760,634,590,
494,239,319,844,997,403,539,913,088,973,203,440,572,310,013,565,020,532,768,
684,591,503,235,695,080,222,209,108,676,645,587,751,056,963,613,740,198,944,
386,960,816,104,137,599,818,729,235,789,307,168,201,900,114,472,497,022,522,
183,274,520,105,541,851,828,772,320,281,197,632,491,554,943,762,464,371,832,
620,526,249,877,469,955,521,565,009,629,239,592,415,852,737,043,287,781,775,
830,510,505,035,204,274,618,556,193,883,990,107,021,244,779,774,423,139,702,
267,631,978,790,009,574,757,074,714,708,615,109,049,910,619,893,478,170,533,
019,886,608,171,368,841,254,083,825,489,993,768,807,332,781,537,185,304,613,
040,800,929,692,160,557,747,554,459,372,117,016,893,471,898,864,952,300,842,
746,239,119,529,806,498,174,491,669,689,330,409,933,917,621,704,730,087,722,
368,778,537,539,813,126,845,372,959,174,394,934,203,489,045,554,127,110,166,
849,826,130,092,063,320,132,417,542,934,668,907,043,305,110,981,189,968,357,
712,839,608,027,451,312,684,152,006,546,970,323,007,182,616,472,770,569,977,
266,890,835,820,763,688,393,809,692,910,172,836,543,506,702,809,295,046,077,
643,772,285,310,359,470,714,350,488,421,556,105,202,196,532,922,062,795,327,
002,075,120,133,244,533,527,675,242,502,867,856,159,900,565,615,930,657,265,
439,718,432,661,764,823,775,148,233,336,998,631,856,255,955,587,341,303,893,
308,976,248,176,931,783,867,263,977,445,721,985,903,121,518,814,459,823,941,
444,596,514,592,188,958,301,858,807,110,308,832,087,987,165,525,919,438,919,
734,687,027,137,640,034,921,366,075,794,773,299,325,082,697,420,984,179,759,
359,706,329,092,065,197,986,572,142,175,180,920,115,673,915,034,699,946,714,
719,480,948,354,810,032,863,314,581,379,070,309,425,828,235,408,148,520,556,
093,298,968,819,161,642,695,843,551,938,660,085,803,456,955,220,619,800,215,
299,152,206,611,114,629,149,731,920,258,493,032,054,189,310,344,615,262,428,
337,791,870,326,591,712,093,366,583,799,821,900,794,561,866,225,975,822,100,
872,916,569,246,393,617,347,366,218,877,142,120,466,072,445,201,579,243,521,
654,526,618,553,209,912,364,140,128,465,932,580,974,616,171,599,144,577,558,
865,205,626,133,592,513,166,786,496,105,002,222,131,203,418,334,031,620,566,
304,254,893,967,444,688,687,119,354,335,156,964,366,728,318,776,122,475,207,
387,824,429,168,632,831,719,492,934,040,674,010,550,276,502,808,516,721,154,
636,365,807,706,318,126,028,077,559,447,560,520,936,992,698,013,232,972,980,
823,181,479,084,120,971,822,470,413,498,341,223,217,421,059,898,827,056,585,
595,647,477,555,742,327,263,407,975,534,362,976,239,617,348,077,547,795,353,
030,793,434,198,166,929,255,086,149,645,198,291,773,596,255,959,833,034,962,
867,673,710,925,218,280,812,633,108,637,386,125,975,785,247,740,606,309,869,
909,081,826,563,641,066,971,650,329,830,096,073,719,424,770,357,278,714,870,
616,026,287,777,469,383,831,484,853,269,179,958,858,113,210,422,447,879,426,
417,210,773,915,763,733,974,156,636,328,002,462,925,372,346,934,873,705,674,
608,746,746,812,377,607,440,915,831,375,771,146,273,066,609,033,146,347,410,
776,725,199,335,700,442,377,188,666,616,140,502,834,029,500,547,190,272,385,
520,319,127,785,453,082,797,952,135,913,965,587,140,366,264,465,305,713,894,
442,197,337,547,346,287,717,186,029,488,882,802,755,072,466,514,659,724,543,
576,935,919,444,384,363,611,942,751,657,454,278,973,049,034,123,171,083,848,
379,799,756,695,853,387,289,119,219,587,709,306,773,279,161,691,843,857,169,
492,828,107,430,135,684,931,428,568,871,156,514,173,958,662,885,597,910,980,
864,531,632,055,157,698,238,214,918,226,974,592,185,594,748,578,469,785,572,
555,426,082,690,827,930,802,118,611,363,451,314,013,104,753,165,881,066,837,
579,086,748,657,705,570,707,277,205,621,843,408,596,460,063,795,372,727,964,
511,989,472,445,185,578,253,495,086,385,064,061,427,926,697,506,596,168,823,
486,874,259,817,394,182,694,922,734,966,404,592,320,539,010,048,477,777,963,
572,163,374,894,117,667,780,702,058,775,546,850,504,241,503,240,592,364,868,
461,525,093,592,357,479,931,012,653,637,446,949,313,015,178,989,949,168,216,
480,912,312,909,468,075,310,372,504,416,994,428,218,227,711,879,581,829,924,
854,720,656,664,968,157,654,565,040,440,742,390,324,030,298,912,507,065,306,
241,192,733,136,537,013,121,758,704,576,522,784,607,787,769,921,007,211,243,
935,407,356,652,592,220,853,965,880,045,922,420,635,576,624,646,704,896,688,
334,906,662,178,318,051,846,014,542,312,373,204,565,952,594,105,266,794,882,
347,429,829,104,471,600,001,780,109,985,334,876,219,575,354,582,934,551,795,
323,669,648,277,331,599,754,237,962,634,403,490,499,097,546,565,619,114,188,
061,918,726,747,342,057,050,878,720,031,367,691,128,339,201,574,362,072,207,
100,383,772,673,489,935,680,881,262,140,592,270,147,426,417,822,972,065,221,
617,024,714,238,452,614,394,214,030,439,698,671,116,504,272,465,535,755,987,
314,362,736,704,127,784,041,362,919,741,188,283,163,553,580,774,661,049,339,
501,261,112,613,101,761,404,325,871,491,525,796,237,693,181,773,713,044,143,
500,226,634,096,586,053,406,228,298,988,856,092,196,143,389,730,689,132,609,
851,129,250,534,538,220,731,406,109,783,555,321,633,896,762,508,275,040,257,
819,340,655,589,222,354,953,226,731,304,435,060,463,643,202,318,436,775,404,
119,065,816,802,932,487,779,322,298,780,699,557,216,937,796,148,038,538,553,
038,594,428,670,471,876,912,936,622,216,968,874,153,319,654,981,295,231,757,
916,837,528,737,176,906,167,646,077,073,852,565,575,101,389,736,974,010,200,
657,136,422,529,248,027,229,265,837,287,192,386,772,188,631,681,837,356,868,
127,851,933,115,450,871,887,690,002,282,225,963,158,420,020,664,905,521,647,
855,386,267,172,419,496,908,615,086,969,478,004,645,635,034,201,558,782,306,
135,527,200,588,554,346,462,971,379,666,067,030,340,281,958,286,984,974,112,
120,933,319,338,741,202,224,862,714,280,070,061,353,496,491,172,401,644,926,
885,671,635,406,793,075,112,141,115,010,652,753,416,921,875,910,350,798,785,
194,791,635,272,637,441,526,161,491,699,107,802,076,962,657,488,933,700,467,
851,429,859,546,777,185,325,825,931,584,320,492,979,920,174,413,438,235,031,
139,100,730,163,033,932,648,308,419,716,531,489,010,886,134,370,192,758,330,
810,322,952,893,939,328,788,481,132,664,074,078,530,876,554,899,954,577,018,
353,546,103,686,755,294,218,418,820,714,757,236,699,188,320,610,340,299,551,
238,072,518,840,550,910,943,843,983,459,707,235,891,219,175,250,148,145,581,
009,486,578,776,334,973,642,093,184,985,756,789,267,940,513,096,034,438,483,
902,583,750,851,692,969,279,741,614,275,155,270,496,104,141,776,249,959,931,
499,208,654,783,506,096,567,868,386,364,112,474,691,362,520,772,100,863,358,
543,526,020,772,555,140,400,952,439,832,534,264,764,274,986,962,710,032,343,
749,482,722,744,950,446,451,586,382,404,151,770,563,618,026,753,511,887,099,
726,665,606,633,103,166,366,923,933,531,197,748,832,015,089,361,594,110,222,
915,650,379,413,752,106,141,197,009,005,539,399,802,596,496,599,964,586,195,
479,976,217,971,178,570,194,534,818,935,942,154,273,160,624,950,545,036,209,
403,287,384,394,392,180,523,165,801,803,397,885,121,131,076,442,587,531,523,
650,808,759,774,856,776,399,770,125,250,923,371,957,936,355,384,398,529,383,
463,043,518,208,354,387,047,298,870,034,728,611,957,664,833,546,899,574,809,
775,766,809,642,133,903,105,793,644,323,202,767,918,554,803,844,661,946,864,
327,496,036,600,852,295,911,423,601,040,367,231,121,597,765,520,581,301,906,
045,869,875,756,852,629,259,488,715,233,130,012,292,521,155,521,535,229,390,
182,076,175,829,431,976,148,754,352,149,587,014,133,569,380,045,369,123,203,
356,711,087,104,038,181,523,160,456,851,548,878,272,143,154,368,252,178,039,
634,336,332,249,373,611,110,204,408,598,388,345,851,790,370,886,522,024,728,
006,961,929,993,868,848,154,794,540,951,576,672,534,897,756,980,505,966,079,
967,437,144,090,615,700,275,921,819,210,165,037,515,379,930,007,907,020,976,
901,741,738,478,035,350,827,706,760,420,166,586,160,656,920,716,190,159,124,
474,787,127,482,051,827,062,276,112,326,885,241,158,721,872,186,183,933,827,
073,384,132,864,089,511,926,928,006,994,546,391,085,408,924,701,860,318,208,
752,957,911,898,102,966,010,353,579,403,593,477,753,327,445,885,029,292,617,
705,635,885,244,544,076,041,620,491,683,430,058,242,217,372,913,084,386,406,
689,922,963,806,038,523,876,808,046,432,852,797,846,749,991,900,388,938,545,
453,475,777,800,102,019,783,905,096,803,698,617,584,799,109,721,044,298,235,
006,400,136,657,593,151,391,354,209,674,369,284,041,056,272,510,863,302,492,
301,734,953,334,780,472,221,131,459,016,429,179,931,944,796,073,872,408,826,
296,212,687,392,510,603,505,911,509,823,908,576,565,244,689,540,272,909,480,
215,079,456,755,942,217,703,241,088,142,381,419,453,049,362,032,474,819,150,
835,860,965,958,843,240,915,057,263,749,834,697,735,543,556,017,478,821,245,
276,363,810,589,277,419,204,220,306,799,038,627,072,964,427,449,012,029,204,
346,018,149,362,780,615,723,431,077,514,953,651,642,470,376,382,241,734,562,
328,604,780,814,781,513,390,672,100,607,296,921,514,524,318,556,484,225,922,
449,171,022,099,131,171,784,153,758,883,010,116,024,657,945,305,565,546,280,
684,737,163,232,622,309,402,715,658,480,265,481,232,648,891,744,125,822,765,
079,177,595,098,329,129,072,760,721,376,185,494,361,708,147,594,489,926,435,
507,750,707,943,464,967,170,058,407,465,238,172,535,668,338,130,528,894,763,
338,416,069,216,739,299,973,502,063,119,150,888,596,558,867,075,485,133,773,
594,551,422,013,650,910,516,110,082,547,295,957,735,234,033,471,891,966,857,
429,366,870,857,432,138,856,155,822,597,676,719,839,300,188,905,577,905,333,
169,588,989,573,320,090,284,803,753,749,215,811,264,330,745,907,533,003,875,
536,314,539,122,246,056,369,764,681,074,112,625,097,830,708,086,512,672,174,
985,146,711,555,534,859,474,024,056,846,097,663,080,478,356,228,368,441,982,
869,810,635,195,102,933,885,617,396,777,517,972,618,042,116,063,610,629,800,
536,769,178,959,826,878,622,458,729,307,288,191,402,068,290,242,107,148,643,
380,253,401,580,429,356,179,955,354,474,036,541,267,539,563,537,677,439,596,
292,626,047,510,072,810,611,182,299,425,736,837,478,543,261,930,637,082,737,
360,895,694,524,282,641,412,922,776,710,905,636,598,478,275,307,348,617,168,
600,501,743,341,886,112,970,506,789,497,642,365,293,946,358,599,718,736,538,
068,550,332,336,218,400,630,661,664,507,811,988,238,734,725,997,011,917,111,
205,091,534,654,913,957,028,370,225,341,435,768,223,829,411,864,156,116,615,
857,215,775,473,320,857,880,479,404,249,809,922,147,960,869,725,062,875,858,
997,749,433,059,531,781,431,798,502,644,854,682,939,903,124,164,602,340,892,
216,902,091,664,677,229,398,586,339,018,973,450,609,819,761,056,828,330,386,
476,851,039,172,999,854,355,427,019,340,689,162,849,247,835,018,356,497,273,
609,928,895,042,264,056,903,626,783,086,184,835,598,811,737,786,796,761,249,
403,166,720,813,961,917,427,199,556,575,981,994,152,431,333,074,792,738,648,
608,864,179,994,490,398,933,362,650,253,462,617,556,157,929,183,536,752,780,
073,508,679,393,798,410,160,656,878,355,877,514,614,345,302,161,311,996,248,
374,918,893,814,741,560,074,177,793,477,821,663,264,419,685,154,529,080,209,
567,295,747,505,014,371,221,669,728,253,311,037,146,104,049,230,964,089,858,
589,033,719,831,609,494,052,475,185,179,289,765,249,203,187,652,882,223,580,
768,843,943,249,469,991,284,412,939,756,327,792,240,921,105,674,147,698,643,
516,993,203,177,543,943,314,514,210,499,889,147,960,011,797,828,908,006,614,
114,772,725,344,566,861,307,761,903,191,739,027,132,182,855,618,802,773,594,
689,281,735,932,554,669,635,497,795,298,882,734,634,072,032,814,534,896,462,
799,381,477,200,488,738,293,064,969,825,273,010,062,487,510,935,365,963,758,
024,259,298,405,840,979,492,582,394,368,664,238,852,091,184,568,965,276,806,
943,687,588,050,758,029,865,252,622,745,269,867,339,773,207,133,177,765,038,
661,726,373,980,525,095,414,269,200,038,331,044,368,103,941,043,303,936,723,
717,427,955,198,689,104,144,761,363,439,691,971,657,244,759,233,381,920,511,
167,008,469,325,415,030,123,666,375,931,315,779,109,884,814,030,116,674,862,
852,784,311,277,101,017,414,346,100,192,336,976,842,770,237,417,135,846,758,
212,173,036,779,742,769,460,166,990,366,230,567,775,206,194,702,698,235,627,
619,253,323,801,349,690,179,765,791,162,101,727,687,866,810,657,996,537,614,
051,171,923,215,168,864,207,078,499,166,747,338,417,688,255,202,935,810,754,
680,857,300,160,509,125,847,059,550,275,893,231,349,579,408,405,866,353,724,
699,052,966,460,788,009,216,861,304,870,584,751,911,128,342,592,946,646,470,
485,471,467,462,899,075,598,848,272,932,145,540,392,956,354,119,506,236,148,
525,313,555,703,779,688,452,456,234,185,407,743,588,815,264,095,428,779,470,
086,810,842,143,905,091,577,073,763,042,944,630,907,473,611,122,501,393,461,
659,226,604,512,693,568,790,166,062,356,259,715,733,189,769,689,125,941,130,
553,794,175,906,009,523,341,116,192,713,655,905,342,671,684,115,595,770,428,
335,169,336,971,671,459,659,823,282,568,579,402,018,140,924,650,257,322,813,
368,106,906,555,738,952,293,457,203,785,576,470,198,342,146,419,914,042,428,
348,401,107,452,584,932,759,527,590,322,236,594,844,711,439,693,382,818,440,
826,510,122,287,471,268,130,077,141,870,932,966,643,148,042,347,030,412,903,
013,417,560,107,511,475,677,597,201,864,364,656,613,201,834,876,740,865,754,
703,879,744,514,505,080,843,636,501,228,381,427,244,898,391,106,894,966,733,
761,628,872,394,003,192,431,111,731,218,111,278,461,883,900,609,629,082,150,
048,254,280,914,992,651,874,290,306,050,849,805,563,215,915,304,484,504,705,
539,325,755,795,721,423,768,463,871,790,913,460,626,662,688,186,232,951,776,
834,814,940,410,177,706,703,642,371,702,921,815,413,035,122,900,451,489,445,
027,933,555,663,329,067,792,260,392,585,333,430,834,040,584,173,776,739,067,
794,515,056,206,474,847,998,365,863,029,620,983,614,053,114,679,218,687,910,
841,025,530,967,162,609,166,149,040,934,565,919,158,406,105,209,672,617,583,
102,422,035,360,996,418,093,515,569,797,437,570,244,338,947,592,979,387,847,
341,343,441,324,551,517,398,227,427,639,312,392,892,437,667,238,481,465,485,
753,380,357,420,663,130,246,093,768,181,065,519,257,818,655,046,394,571,367,
212,115,464,543,713,689,679,330,112,023,469,812,368,503,762,105,696,841,437,
526,212,024,431,869,866,984,667,411,876,835,436,110,719,474,273,879,457,830,
282,607,776,936,445,499,021,247,985,314,903,548,725,250,694,078,903,568,148,
466,555,070,948,248,561,197,714,504,185,303,555,748,797,020,076,759,233,861,
711,605,575,267,241,313,832,999,315,449,882,452,658,438,950,154,176,660,932,
522,115,011,775,286,471,292,464,221,775,264,576,804,139,016,786,080,586,576,
957,689,189,674,014,247,685,551,664,896,944,889,820,452,114,015,214,762,402,
039,846,502,738,959,434,014,204,937,611,437,020,612,910,628,282,366,782,009,
424,320,521,466,085,353,978,496,781,210,294,298,371,043,855,731,770,444,920,
641,149,875,122,977,413,868,630,174,587,039,669,113,783,431,990,713,381,581,
011,794,234,011,642,167,938,224,927,586,160,295,550,684,390,792,907,126,133,
257,488,028,579,941,779,922,306,403,530,348,683,153,519,122,221,698,674,741,
939,217,827,068,615,788,801,603,346,984,916,323,946,108,222,614,177,600,055,
945,570,608,250,527,255,761,148,284,519,914,311,580,868,182,347,782,188,325,
654,407,245,973,380,409,647,209,446,401,978,601,084,108,921,858,324,417,960,
236,599,932,083,007,064,903,030,730,877,075,814,081,748,030,657,658,349,474,
321,404,498,907,933,351,254,266,059,289,669,011,715,038,787,944,910,112,114,
543,104,568,953,433,217,614,432,802,224,926,809,121,245,425,500,524,385,652,
565,368,481,679,811,755,833,928,366,008,945,931,042,788,366,917,168,450,632,
565,764,545,654,378,174,381,718,899,309,994,959,411,011,258,991,917,864,711,
108,312,224,347,238,889,983,973,176,272,848,755,349,030,237,392,823,773,285,
423,270,258,137,831,496,451,626,525,288,957,891,238,495,276,634,888,834,099,
944,919,830,028,776,179,680,652,266,885,178,527,060,680,635,090,764,314,630,
408,599,961,760,089,695,628,304,053,496,195,624,697,111,501,465,356,954,775,
080,672,862,845,611,432,882,533,195,932,475,483,736,533,146,274,471,255,017,
914,419,476,543,444,906,862,041,644,227,152,902,326,464,451,207,799,594,854,
889,356,372,429,409,272,718,712,135,004,414,033,489,597,626,753,299,337,831,
645,850,880,773,690,536,951,450,679,224,593,515,456,690,669,710,744,508,159,
237,179,382,393,543,563,892,127,466,996,558,928,496,685,851,889,724,965,557,
836,599,657,792,738,535,826,009,676,876,288,056,033,262,339,973,172,247,171,
391,534,343,788,287,266,615,817,592,380,203,546,099,651,475,703,040,216,057,
592,865,384,232,997,162,645,845,209,133,316,570,380,670,533,088,367,864,454,
752,374,492,427,908,906,411,032,806,431,867,664,360,328,216,513,173,551,475,
310,272,084,288,556,993,207,503,258,460,957,683,642,515,804,198,461,681,641,
148,045,581,808,853,951,116,296,790,022,792,378,532,221,331,907,702,803,415,
484,970,598,060,835,539,251,038,195,641,433,748,400,997,942,884,894,065,194,
261,577,355,433,064,911,287,096,477,092,832,178,513,289,295,576,296,504,454,
046,217,438,605,659,134,949,665,695,461,532,537,200,993,536,702,533,919,321,
406,600,353,321,354,708,249,400,783,358,304,655,530,747,007,592,121,639,670,
217,047,348,919,137,834,199,411,840,584,331,429,284,232,537,561,260,333,195,
429,890,737,604,664,372,478,504,911,292,074,663,482,554,424,128,866,262,294,
001,810,077,644,410,883,007,519,826,636,493,995,571,868,031,789,947,941,764,
279,675,692,037,621,326,270,235,423,786,041,598,081,638,443,467,955,797,136,
865,672,046,015,782,801,548,649,750,338,430,104,140,494,429,932,141,865,316,
327,834,682,866,143,942,228,518,571,182,293,317,351,892,854,397,887,783,046,
985,173,829,277,527,106,407,906,474,362,596,704,889,658,452,589,202,271,025,
363,257,050,107,913,532,265,065,265,989,667,669,319,116,419,128,325,062,014,
824,866,880,225,009,312,327,786,662,723,002,381,145,009,103,000,823,472,629,
335,932,799,783,068,468,417,236,199,666,867,713,994,278,241,551,081,442,442,
722,872,494,797,731,868,878,422,651,355,585,216,330,446,505,864,726,692,058,
696,558,221,239,660,029,696,522,914,615,587,032,243,673,086,317,485,467,451,
242,585,679,311,031,268,862,495,702,176,486,790,955,668,100,925,549,315,154,
518,295,967,525,335,051,156,623,300,319,257,119,834,355,698,511,461,159,050,
592,218,356,301,410,121,205,905,344,617,163,354,217,606,427,478,120,591,399,
915,394,540,123,092,665,327,488,084,424,157,397,696,906,015,625,534,598,476,
391,204,037,668,522,295,601,192,795,918,250,557,246,915,401,946,281,258,922,
915,761,388,803,459,788,641,645,962,979,782,041,452,464,212,743,785,919,749,
385,051,650,100,625,139,830,176,588,299,087,643,691,781,856,854,756,292,033,
061,260,867,324,333,684,137,280,818,050,681,362,079,654,555,727,223,970,675,
154,565,001,800,277,590,288,236,721,074,481,578,688,396,568,282,762,153,796,
026,124,898,031,219,201,958,768,268,544,764,738,419,353,708,834,984,922,152,
518,289,561,467,660,656,453,645,863,684,045,161,233,953,465,929,340,778,676,
267,269,020,770,616,317,205,582,263,335,053,940,388,923,436,481,571,064,141,
355,622,307,218,098,995,695,120,975,678,732,579,545,842,065,564,209,445,093,
370,275,729,855,553,250,056,026,315,329,743,571,467,150,836,695,722,236,581,
243,264,916,219,450,348,350,398,041,650,343,724,276,222,377,937,496,141,594,
730,951,134,944,629,659,000,020,954,378,207,537,173,084,441,060,508,046,493,
337,103,890,905,378,745,145,873,814,111,409,949,046,833,554,424,917,287,601,
133,330,473,372,968,087,275,231,703,163,067,566,531,071,967,359,407,946,778,
377,691,413,285,272,754,886,543,923,361,172,999,080,832,256,977,607,404,801,
062,032,073,103,336,533,252,577,605,289,635,968,230,031,545,711,424,025,753,
554,591,130,472,932,244,270,604,341,374,443,674,704,278,207,725,867,654,716,
519,666,505,865,346,633,631,380,149,144,208,183,866,358,463,554,143,885,960,
591,809,950,821,552,308,041,500,684,899,507,913,734,504,756,504,404,567,238,
333,141,138,160,607,204,923,403,578,287,816,257,405,478,415,991,166,668,025,
205,039,723,810,517,464,639,636,597,288,859,723,449,473,972,796,683,683,112,
720,817,218,498,727,057,736,382,138,669,100,967,823,677,147,612,050,607,392,
796,670,094,898,583,357,260,328,862,334,497,842,557,824,002,006,552,202,749,
168,169,374,068,740,215,794,525,087,317,777,857,931,518,069,739,253,737,148,
152,802,950,979,322,534,989,352,622,740,511,425,024,773,766,080,925,406,217,
851,670,223,645,177,742,742,869,757,586,767,196,353,773,055,986,162,869,573,
894,398,711,544,464,752,395,356,060,366,131,863,623,780,297,520,314,356,828,
349,243,654,878,726,092,058,512,754,682,718,136,241,837,087,377,173,053,482,
078,866,029,180,583,642,664,091,759,793,295,013,038,777,037,498,741,833,343,
378,997,034,591,969,563,355,405,355,910,415,546,081,262,533,627,046,626,065,
586,118,234,496,899,361,925,767,433,876,625,226,872,584,351,797,704,192,708,
341,469,192,239,131,533,111,767,998,046,551,726,078,558,515,035,753,261,005,
737,436,130,933,182,488,672,722,677,195,691,962,478,128,811,591,345,487,867,
928,587,893,957,032,418,709,414,254,273,938,029,194,647,756,174,293,476,465,
304,566,872,536,484,541,736,267,317,239,629,721,576,251,674,232,121,148,258,
819,285,254,430,047,212,842,251,191,663,121,369,323,557,153,897,528,871,436,
278,614,869,139,845,029,432,301,362,354,625,882,442,645,170,535,048,633,731,
475,708,651,451,617,524,149,935,856,184,720,517,266,699,908,608,953,330,432,
920,821,576,854,497,103,758,686,111,935,465,245,071,311,492,278,251,776,547,
477,067,312,737,291,066,077,432,629,871,033,855,783,305,424,335,232,729,758,
211,446,287,973,034,578,029,710,336,382,404,263,296,123,150,935,878,161,103,
335,248,408,461,647,959,750,806,727,377,362,636,800,043,313,331,025,714,130,
480,852,693,601,302,644,238,863,858,412,709,786,519,395,154,371,544,306,757,
588,933,017,125,285,449,345,278,295,455,183,102,626,507,609,062,298,205,799,
677,223,474,953,048,040,428,612,186,290,703,421,121,578,395,497,303,579,702,
739,957,968,912,780,647,892,890,364,700,184,423,994,742,630,264,171,062,125,
370,978,054,390,250,801,757,686,396,813,791,070,019,462,241,817,297,928,742,
631,769,115,550,383,316,906,763,147,082,883,827,068,023,897,666,568,781,092,
536,639,743,908,285,220,247,483,368,967,644,841,973,210,692,852,291,113,014,
931,159,583,091,538,930,158,783,418,914,643,529,791,911,692,039,884,729,999,
483,648,197,999,417,559,300,542,790,971,470,956,802,237,683,971,519,061,616,
537,403,837,996,251,961,794,589,144,225,638,283,344,049,455,513,793,149,134,
594,538,100,736,731,757,329,066,594,413,653,916,898,318,989,812,770,042,798,
226,707,493,305,215,292,350,668,568,171,036,958,883,443,207,756,133,811,435,
629,928,592,436,975,958,620,598,125,944,005,672,505,038,372,573,661,205,156,
080,751,154,474,980,984,019,819,928,486,500,688,889,912,701,207,688,840,130,
589,029,966,649,142,360,308,776,361,099,073,047,737,528,984,978,488,911,603,
603,268,655,424,209,519,220,495,650,253,206,793,180,134,999,640,047,034,063,
636,315,734,436,222,975,888,392,590,310,646,774,859,060,755,251,461,007,816,
026,081,569,571,334,277,947,313,859,550,211,272,541,378,150,808,783,640,993,
899,101,763,103,631,939,315,106,034,931,996,217,447,300,485,671,825,668,491,
508,395,364,677,431,591,908,511,681,326,027,481,192,415,656,700,374,301,468,
393,099,024,456,585,753,339,443,482,846,302,352,988,755,509,239,812,801,133,
079,179,173,586,661,208,635,835,345,493,180,979,532,777,484,716,397,735,608,
196,820,657,614,037,758,352,077,808,788,134,696,805,966,758,656,330,189,916,
929,859,048,486,270,114,398,594,353,537,002,842,635,242,466,698,334,782,754,
858,776,074,598,085,463,312,285,052,159,862,300,677,508,217,382,421,399,203,
130,779,304,421,861,408,829,898,223,954,569,308,135,852,920,193,494,104,863,
157,274,168,632,587,277,818,454,725,040,197,691,830,416,694,635,066,492,715,
545,823,400,007,206,957,599,559,169,846,018,283,428,463,781,420,567,733,882,
362,215,240,890,003,672,909,870,472,543,106,431,166,639,619,920,288,647,563,
240,781,119,693,500,627,246,133,067,503,239,426,847,274,812,356,883,068,173,
332,393,272,603,068,046,740,999,765,986,945,923,363,657,827,926,790,546,822,
246,290,045,837,820,052,299,131,665,283,162,444,121,991,888,457,295,036,569,
876,637,369,783,480,616,909,652,812,094,705,087,936,485,133,024,469,522,257,
298,443,672,985,259,003,213,770,868,823,436,555,146,748,020,912,989,661,537,
405,300,964,164,230,814,243,127,070,279,955,736,047,320,130,948,162,181,280,
510,125,539,971,447,199,040,617,380,515,497,399,942,557,020,240,502,254,605,
378,580,133,104,453,994,830,344,537,841,182,103,707,752,108,299,742,595,848,
630,759,020,001,760,958,487,298,568,637,977,669,048,937,479,125,850,206,645,
516,686,432,266,859,259,332,239,659,515,850,641,141,534,834,545,919,111,624,
719,798,731,476,531,586,995,838,727,145,265,613,385,360,409,879,307,831,618,
858,866,763,829,112,051,262,238,712,401,909,170,901,950,891,279,725,000,997,
742,243,193,715,585,224,167,750,419,912,283,555,040,062,049,150,199,513,797,
510,370,377,751,078,340,809,901,539,166,387,509,955,839,582,410,568,948,079,
208,768,679,502,374,775,805,087,407,810,929,198,005,145,754,011,722,616,474,
251,283,995,661,380,673,077,611,723,251,725,460,287,936,835,765,308,890,896,
882,627,789,551,477,565,124,168,947,353,165,213,112,186,351,157,128,548,210,
862,701,320,085,261,586,549,085,203,404,725,409,177,952,054,085,964,103,945,
482,857,040,484,964,782,145,875,987,699,042,107,581,799,675,312,984,776,855,
338,521,378,102,369,975,618,361,823,073,135,585,845,242,880,146,350,284,390,
955,699,720,889,506,227,097,136,245,547,536,743,953,461,380,613,852,696,877,
376,615,014,648,779,909,259,106,804,789,416,789,231,920,351,184,317,205,910,
269,310,328,453,260,425,494,331,882,499,872,455,881,024,494,425,478,306,212,
395,311,237,413,339,410,692,020,228,521,604,112,320,174,734,453,283,395,203,
464,286,909,256,705,798,694,489,753,310,398,175,119,347,033,966,683,769,286,
746,750,948,631,660,362,038,741,198,049,047,894,234,995,049,041,269,954,314,
557,736,957,613,650,746,748,839,032,512,575,473,552,605,283,090,836,558,223,
951,029,806,710,724,509,051,724,652,708,895,373,097,507,523,023,885,271,455,
786,881,860,438,008,733,923,011,984,099,517,974,732,188,868,191,073,973,046,
044,665,907,732,889,407,453,930,677,273,217,564,189,452,855,180,958,260,785,
126,247,815,810,664,243,520,462,292,966,726,823,546,839,861,965,190,381,463,
993,537,088,576,619,635,206,567,569,930,502,804,698,584,726,844,414,344,824,
219,070,350,785,132,494,420,248,335,644,728,199,715,108,797,307,101,755,829,
795,293,459,862,138,498,344,847,154,427,606,564,956,855,062,527,317,647,802,
848,967,366,915,596,559,692,229,607,656,558,294,956,776,551,867,126,977,016,
647,981,944,582,713,547,357,264,922,238,558,262,296,597,423,845,624,414,400,
404,376,989,800,223,536,398,615,320,825,416,624,664,673,124,157,321,408,177,
074,639,947,183,676,097,503,022,749,963,949,854,373,864,235,566,048,497,853,
069,802,948,736,810,112,519,364,590,105,161,478,974,531,732,472,661,663,131,
040,659,246,026,870,223,788,853,658,453,881,454,862,384,042,687,491,342,151,
401,762,191,689,767,944,535,746,561,639,862,252,626,191,346,401,521,466,058,
627,396,838,563,937,515,192,278,155,988,193,744,646,271,470,156,257,758,895,
454,547,026,374,513,715,054,869,744,114,675,452,032,889,900,928,570,306,702,
166,150,768,199,507,366,169,932,509,182,301,452,909,101,272,997,979,180,116,
921,767,257,681,477,978,435,420,268,633,540,877,346,262,212,135,536,383,418,
135,253,167,054,089,995,170,858,654,030,302,604,066,008,301,486,465,665,476,
694,321,666,025,284,187,756,048,372,605,547,501,502,958,972,807,228,708,764,
607,005,699,235,417,862,424,501,895,271,681,844,158,433,329,634,210,086,942,
769,530,237,059,419,463,780,648,799,052,939,191,604,377,375,434,188,186,974,
880,724,243,058,481,179,263,432,638,770,895,927,975,842,658,543,555,558,818,
331,996,425,478,344,943,557,530,495,154,660,430,250,573,929,932,963,175,010,
636,267,461,279,271,020,414,316,223,057,851,305,230,757,177,098,395,861,784,
792,794,125,849,257,763,207,726,330,633,938,369,664,545,425,499,428,174,740,
730,600,128,141,298,321,373,334,366,244,832,435,933,712,170,554,773,454,828,
561,697,753,130,404,934,593,787,531,114,864,601,101,713,526,236,384,512,296,
134,425,110,231,836,420,386,790,281,051,234,279,949,635,537,391,390,639,232,
340,814,610,584,986,321,001,092,195,404,904,648,952,659,959,126,216,953,232,
040,457,795,717,606,115,556,079,809,413,162,007,892,607,746,157,684,307,394,
255,175,823,980,752,380,509,923,358,420,022,497,085,454,632,908,169,620,923,
361,431,006,843,241,768,665,471,963,887,717,580,605,236,058,735,489,259,912,
778,147,496,572,326,390,815,575,411,726,621,484,800,186,865,747,381,473,085,
021,820,796,027,288,746,828,021,963,582,874,332,008,551,074,440,608,325,615,
495,080,743,481,796,278,211,446,047,213,835,847,377,220,460,992,287,006,701,
022,280,658,974,751,720,291,335,518,082,781,603,339,268,615,013,472,105,237,
541,811,069,593,684,579,586,766,402,312,579,285,684,361,457,255,520,842,670,
705,416,071,143,270,578,852,745,642,414,906,878,944,349,470,057,829,877,327,
313,839,295,946,374,564,181,080,076,534,600,648,257,143,070,893,911,133,782,
471,441,806,552,232,036,589,791,951,514,352,953,046,867,394,299,504,023,870,
821,525,006,143,978,252,748,751,097,128,768,019,997,015,236,554,411,787,716,
960,714,011,023,441,843,473,048,208,865,236,632,710,519,255,045,182,110,819,
412,431,735,436,219,338,188,099,333,861,129,054,956,080,950,097,923,473,462,
003,781,562,748,260,079,073,682,320,029,653,822,394,019,408,694,018,698,352,
688,523,760,808,668,471,196,261,844,233,569,218,611,534,190,937,646,967,770,
720,812,380,866,850,612,258,619,420,445,184,652,600,662,059,926,079,767,144,
577,905,768,368,051,040,785,313,698,368,157,921,945,041,804,789,648,476,627,
007,419,086,930,799,966,121,752,275,307,547,096,799,855,770,990,473,380,641,
122,667,022,049,216,288,015,951,054,372,113,393,879,911,957,550,886,844,865,
725,907,600,573,750,738,062,259,726,138,928,653,145,216,713,703,066,847,047,
989,489,770,611,918,059,683,229,227,754,954,374,856,971,569,475,547,947,112,
669,102,683,834,380,845,371,600,420,088,645,022,181,394,476,233,159,004,018,
866,350,003,492,367,684,600,402,693,210,250,408,878,533,523,439,063,980,308,
740,648,149,890,817,005,498,576,339,085,782,751,726,546,385,619,858,569,718,
048,957,199,106,768,112,354,408,323,669,209,195,552,172,876,773,269,480,012,
638,039,214,605,416,529,860,508,408,438,202,698,976,556,217,172,958,864,754,
648,650,688,685,001,581,422,742,777,479,033,407,598,982,136,490,279,434,911,
711,285,759,142,717,614,220,250,179,816,034,693,480,880,298,282,465,230,166,
119,655,994,295,944,010,385,800,506,749,847,056,678,286,962,263,821,589,064,
041,363,379,166,714,338,088,251,926,508,862,730,151,390,784,441,848,501,576,
953,657,826,550,801,984,412,801,220,177,145,554,741,802,867,884,887,754,200,
573,123,638,663,645,377,440,499,339,207,219,303,509,531,756,968,283,163,196,
441,972,427,437,807,719,296,559,402,906,944,651,665,252,385,588,541,692,344,
383,722,392,253,065,859,855,903,490,765,429,528,676,110,310,789,970,557,208,
551,451,650,947,700,600,745,467,282,487,655,035,983,349,370,966,710,924,369,
255,226,088,619,059,037,539,431,068,648,296,080,474,320,871,286,179,689,198,
437,406,890,778,787,344,704,217,088,230,552,918,269,524,003,772,054,974,843,
216,253,058,717,391,199,913,105,380,006,714,627,679,522,727,414,271,050,577,
930,363,950,457,487,995,282,998,342,940,619,979,664,642,779,178,400,651,541,
970,866,052,229,590,376,443,313,592,033,149,203,685,398,787,004,791,651,901,
346,829,138,572,978,458,026,676,067,877,615,653,937,840,315,722,227,131,141,
081,242,791,279,665,103,785,465,967,336,440,993,073,188,019,429,904,733,021,
850,732,212,864,281,479,927,640,439,906,237,675,861,758,348,057,582,063,485,
853,036,768,963,569,611,399,283,794,920,818,032,759,450,915,663,875,548,907,
471,348,585,982,754,501,414,732,645,546,615,010,373,268,341,941,417,164,833,
925,019,843,743,599,757,298,745,437,244,217,557,179,299,513,894,933,552,908,
440,078,427,644,118,681,011,837,570,517,577,938,832,168,297,868,473,163,717,
422,242,389,137,177,007,748,429,504,953,877,540,420,631,372,547,732,410,639,
979,664,972,440,758,872,795,085,015,106,711,275,813,556,291,180,897,984,785,
640,754,592,910,144,241,474,593,702,396,094,871,812,841,004,324,829,007,435,
029,579,488,406,330,816,027,499,073,015,931,896,350,468,970,091,246,027,883,
880,418,395,223,311,689,983,450,762,570,693,863,531,778,213,982,924,169,141,
475,721,989,507,766,428,511,548,222,513,671,248,905,958,041,203,927,873,550,
362,935,157,268,364,849,343,670,431,025,785,961,070,637,572,798,742,058,188,
818,669,030,408,669,939,204,475,948,929,943,353,960,871,284,808,220,701,691,
912,845,537,160,329,816,088,273,214,453,953,584,055,554,357,754,455,691,617,
554,332,292,793,156,683,354,572,081,360,757,860,707,505,006,078,353,337,036,
836,879,580,897,659,236,850,500,864,504,860,551,070,992,196,897,758,424,021,
030,474,410,534,965,530,524,853,524,962,766,805,443,745,617,295,783,642,595,
232,295,783,973,774,510,014,023,807,194,386,402,074,303,580,398,829,944,855,
202,211,424,103,613,326,771,561,490,476,093,636,985,762,377,320,200,210,327,
960,375,012,125,912,945,535,840,536,936,151,141,610,273,340,208,063,268,805,
993,354,811,045,967,763,682,529,710,850,987,811,433,078,262,703,978,278,403,
267,890,442,768,466,414,197,233,634,219,632,134,059,257,418,741,114,981,955,
208,539,462,520,215,682,549,958,415,102,897,891,736,764,449,864,371,999,252,
800,756,453,027,446,879,992,288,396,430,649,339,556,400,455,538,408,809,583,
302,143,572,509,802,864,688,626,273,177,999,144,496,276,530,274,960,876,657,
991,772,860,727,633,528,723,991,981,001,537,275,664,596,036,792,208,390,352,
611,369,422,693,569,615,020,441,004,567,117,482,895,399,709,694,591,866,451,
345,162,863,958,054,150,109,353,503,770,102,237,931,097,951,977,164,816,045,
650,034,826,698,704,480,543,076,548,187,024,188,515,325,830,705,670,956,714,
965,992,129,013,213,367,893,166,212,099,229,312,740,201,442,360,484,917,673,
521,073,326,366,894,600,048,257,241,083,831,768,493,000,577,903,967,954,935,
184,398,140,793,754,379,186,834,605,413,504,643,041,790,464,006,155,358,684,
022,176,730,843,877,939,138,119,527,066,483,989,441,069,795,913,497,958,470,
777,594,733,023,422,698,095,355,600,626,100,014,642,483,163,335,443,380,608,
264,848,719,738,574,848,364,368,278,326,369,086,296,018,063,759,129,107,290,
257,326,347,007,483,359,955,776,221,256,108,472,187,658,713,067,202,974,961,
873,101,517,821,434,983,374,544,364,887,214,499,036,862,331,408,913,622,737,
925,707,146,837,291,601,389,386,740,119,470,540,684,738,166,947,693,782,376,
849,146,479,010,398,443,810,260,126,296,598,072,295,413,952,039,696,205,565,
634,269,509,044,786,008,608,955,452,857,694,776,115,049,905,639,993,752,076,
433,672,035,558,821,889,069,960,855,648,514,087,316,951,845,240,149,364,441,
184,585,963,182,047,289,938,486,812,540,255,518,568,279,717,238,966,312,906,
944,622,029,091,005,901,549,510,518,226,293,723,687,075,274,196,180,753,341,
925,849,337,851,573,964,329,173,094,847,518,067,532,367,382,258,152,471,895,
275,847,071,338,712,132,598,356,754,831,511,325,338,360,875,933,127,749,855,
988,241,494,281,675,318,253,753,790,006,784,090,912,456,378,683,855,877,843,
845,350,537,300,653,932,964,864,666,164,946,480,672,860,211,435,601,089,213,
578,864,795,135,579,736,837,044,290,260,261,521,506,065,483,176,108,407,746,
786,825,577,722,814,011,749,525,740,975,948,889,420,965,575,221,295,500,453,
608,690,812,515,797,485,579,885,932,596,168,946,143,634,155,198,111,502,786,
517,453,517,182,562,547,366,331,966,048,009,275,449,137,900,319,948,611,203,
650,492,377,082,589,685,027,866,874,619,145,372,041,945,890,857,894,412,464,
719,776,490,242,043,577,646,226,900,065,802,558,578,650,018,321,449,554,607,
392,251,023,051,049,760,522,121,660,862,660,199,580,889,259,125,441,281,782,
735,736,036,434,941,810,986,925,321,749,177,597,898,963,449,878,891,705,657,
439,249,686,477,345,991,352,937,110,956,536,080,624,173,148,216,702,008,483,
056,701,988,393,612,859,795,878,080,862,800,050,078,247,936,827,596,612,022,
954,677,258,208,077,282,081,494,277,016,882,829,933,668,976,502,583,291,599,
153,184,353,455,474,804,429,658,743,737,780,001,682,750,688,006,269,197,387,
092,275,688,092,798,182,927,272,257,116,862,604,207,494,314,882,944,753,589,
818,278,348,224,519,521,147,152,949,858,155,574,342,609,192,231,899,101,091,
769,178,403,987,438,460,739,684,098,950,196,543,200,908,626,509,691,754,437,
325,897,606,859,363,270,906,369,431,307,814,318,632,078,339,155,511,215,939,
829,948,289,291,803,659,149,969,905,877,292,296,887,465,072,027,915,172,805,
196,010,189,764,233,750,907,573,210,053,587,294,243,569,545,915,788,716,023,
804,326,656,485,827,452,111,201,369,012,748,191,636,469,943,747,492,925,303,
016,354,120,783,507,787,474,122,673,388,937,976,465,872,542,788,540,311,564,
136,957,971,959,486,609,781,284,608,638,581,079,594,796,583,370,175,111,093,
324,812,128,202,872,408,769,497,770,264,869,345,215,678,877,236,008,294,890,
973,996,551,988,216,929,213,422,816,511,984,428,450,544,938,582,894,003,190,
597,929,324,472,004,679,812,340,096,350,288,309,500,479,371,270,959,850,785,
013,145,449,762,286,076,301,970,149,656,888,535,011,721,737,572,676,049,063,
563,694,899,194,348,262,809,750,366,129,512,549,733,726,855,769,723,039,755,
018,369,534,692,932,516,938,304,201,738,489,041,481,529,728,057,423,531,018,
147,365,691,392,642,151,410,365,358,138,635,830,918,643,927,658,481,193,864,
838,603,558,445,431,382,684,017,323,760,809,074,409,977,904,378,501,401,533,
867,174,592,791,909,360,313,478,838,230,656,676,243,328,835,785,184,757,758,
210,800,953,812,208,873,811,097,984,380,790,032,722,107,006,923,755,728,103,
772,717,598,802,239,710,088,917,353,530,989,298,060,202,023,739,661,936,095,
583,328,367,338,631,941,446,712,712,116,625,606,081,947,873,901,210,515,574,
733,091,924,118,300,004,395,710,341,326,484,694,423,976,414,105,936,961,632,
135,561,937,366,737,917,932,091,013,983,264,033,849,980,850,599,380,952,768,
720,888,087,896,054,432,744,483,939,976,200,264,987,897,527,711,987,830,365,
307,834,028,654,343,755,280,831,123,506,339,179,075,058,240,792,437,850,405,
749,352,650,097,166,665,052,620,439,565,548,156,808,757,724,299,969,291,305,
109,589,574,179,540,705,730,745,873,038,032,392,775,982,928,839,425,690,549,
556,923,073,662,906,155,322,928,789,245,001,151,807,142,034,081,272,597,859,
367,978,756,348,442,205,889,092,844,439,887,028,617,716,148,530,841,406,382,
947,818,568,899,786,533,750,437,617,081,696,749,927,497,637,148,445,164,462,
355,920,332,331,549,155,274,991,383,088,871,847,867,880,734,319,399,588,567,
075,882,458,042,021,131,330,428,194,084,599,893,628,005,989,590,113,023,526,
345,524,977,681,595,929,701,985,540,464,843,192,328,092,101,605,255,337,997,
714,801,607,879,041,131,985,143,629,383,711,944,149,180,873,585,605,367,454,
316,692,900,446,786,429,477,845,252,556,348,925,358,999,939,394,716,757,418,
564,189,841,003,915,481,600,209,596,176,436,420,048,960,023,868,319,459,418,
446,081,342,839,195,375,416,123,528,495,647,488,856,139,887,147,872,309,904,
040,941,151,835,336,578,820,080,265,627,617,800,394,196,163,716,342,393,416,
281,949,756,247,925,387,119,785,044,196,087,609,987,344,038,983,575,091,000,
700,766,549,832,453,954,200,500,941,285,053,079,059,253,728,104,994,346,630,
658,409,034,181,858,132,770,911,847,825,475,319,820,337,988,871,653,256,267,
766,173,754,250,736,018,415,459,851,045,221,227,600,123,296,491,520,578,409,
976,205,025,019,894,732,770,249,305,997,456,096,211,912,693,989,226,465,680,
043,565,285,860,482,253,942,467,704,866,496,764,688,973,390,554,239,577,530,
723,829,305,490,491,703,768,416,631,303,629,263,904,296,502,288,508,030,742,
915,487,047,858,993,419,472,303,450,459,126,118,060,432,373,979,741,942,349,
067,424,317,375,855,152,357,503,468,705,303,545,285,255,339,528,554,106,117,
542,071,140,691,888,360,619,136,666,988,133,804,273,804,941,876,185,413,156,
083,424,079,705,904,755,334,935,461,173,744,809,297,308,302,549,549,522,434,
921,180,972,015,667,299,125,010,266,817,929,235,116,232,221,612,945,086,348,
441,303,778,599,449,579,322,365,773,426,475,318,029,838,374,078,240,305,620,
306,425,534,951,034,643,316,608,814,628,972,363,548,317,289,397,874,114,707,
357,817,650,012,953,271,794,340,691,307,684,312,829,165,201,272,805,122,895,
498,386,025,290,714,056,947,089,794,071,904,566,128,688,649,950,939,897,567,
166,496,698,466,527,017,080,718,116,676,757,703,619,838,868,947,428,136,837,
421,922,374,032,024,547,205,108,204,846,224,190,388,716,792,328,780,082,313,
038,438,507,247,033,414,873,296,390,393,911,787,425,907,935,317,179,756,787,
646,611,558,858,873,961,579,288,041,864,351,815,069,592,926,635,131,471,798,
722,054,188,798,737,723,575,673,704,688,281,825,166,577,357,323,639,457,948,
051,185,823,894,614,749,195,740,699,930,912,195,168,037,343,522,557,286,589,
088,232,739,739,792,649,014,293,469,371,657,031,127,588,521,675,301,489,993,
337,609,453,123,032,387,002,239,234,607,739,296,872,932,070,074,978,894,408,
771,609,238,254,095,550,158,831,530,663,874,463,291,971,113,634,762,225,514,
867,126,640,336,046,135,593,486,282,055,725,324,167,103,550,611,679,329,735,
111,392,822,381,204,392,830,399,928,174,365,674,373,347,695,719,803,529,151,
059,465,449,647,897,949,619,959,590,263,461,692,773,294,998,545,490,713,275,
403,946,609,881,000,135,321,512,947,582,957,160,221,730,596,042,572,343,685,
669,352,065,496,186,838,127,146,496,983,729,748,694,518,661,407,844,207,664,
619,602,794,159,502,053,257,266,744,422,167,044,688,172,040,339,760,495,026,
483,479,088,815,582,834,702,726,727,244,073,470,458,667,648,923,652,754,013,
629,863,818,256,596,770,782,983,882,200,615,781,500,615,224,201,880,002,771,
604,379,549,814,605,726,087,898,110,928,780,346,132,916,073,349,567,506,620,
382,000,017,286,764,697,656,106,391,509,993,650,720,973,349,512,581,459,926,
408,859,444,216,309,317,462,361,491,747,836,835,516,051,233,050,899,346,264,
231,242,655,856,183,858,574,808,118,316,045,988,207,727,133,256,894,632,424,
656,107,877,995,802,743,790,844,431,192,645,113,993,493,135,545,214,998,425,
862,271,166,935,814,825,987,629,464,814,736,742,516,750,750,280,867,624,278,
162,417,559,768,106,733,041,991,163,106,275,577,703,089,242,340,451,531,051,
263,465,629,643,353,943,440,332,397,275,467,846,245,582,168,336,028,161,993,
338,721,130,313,159,109,908,132,126,338,365,309,437,698,590,537,907,304,749,
604,511,004,192,378,677,558,835,278,518,830,354,882,922,485,773,947,768,550,
558,997,653,092,803,225,030,857,589,400,004,691,395,713,931,111,903,214,721,
718,987,333,579,331,652,309,399,056,564,181,768,030,202,027,912,707,586,358,
264,999,163,138,387,341,183,053,969,225,879,842,601,008,023,760,777,362,318,
096,461,393,852,954,453,906,411,283,125,454,225,008,329,474,423,194,725,611,
088,537,343,438,419,455,464,609,499,993,545,480,232,646,645,042,627,483,139,
487,770,729,090,602,683,194,872,913,060,083,054,123,552,876,675,494,104,776,
161,155,026,637,914,626,348,791,739,235,597,073,235,241,307,321,690,498,621,
842,962,752,956,423,638,020,323,654,474,306,203,809,839,786,619,306,748,734,
314,178,629,800,125,231,458,838,545,191,179,343,676,115,867,008,898,118,704,
168,113,282,536,115,461,352,686,368,472,837,336,876,399,139,286,823,968,293,
444,483,064,960,562,874,346,463,877,857,196,759,566,648,346,770,188,165,285,
103,669,877,980,701,461,263,389,636,680,579,192,808,405,430,878,444,509,221,
793,171,491,524,886,229,467,016,471,002,887,551,250,424,731,766,855,118,829,
377,592,592,823,835,525,993,609,000,375,892,347,101,821,178,641,760,849,179,
169,571,904,861,084,937,420,684,038,806,148,277,216,008,005,622,931,593,020,
117,002,420,306,445,173,932,737,892,412,834,107,626,582,445,988,960,284,555,
159,166,604,507,259,084,905,100,131,717,445,568,262,271,714,291,401,976,139,
924,064,257,650,254,792,553,145,589,453,227,297,731,365,736,676,346,034,858,
050,299,974,649,422,650,867,965,413,171,837,146,358,764,973,380,389,455,772,
592,207,805,065,296,167,288,916,554,147,821,731,819,144,840,025,408,771,584,
997,908,331,378,936,477,453,116,680,221,961,986,402,703,076,673,638,799,150,
401,857,572,104,678,660,660,557,647,964,618,193,756,302,529,456,653,118,103,
988,746,123,301,601,430,906,589,363,646,508,132,459,510,675,898,761,984,394,
765,545,253,885,079,545,400,195,138,073,164,913,247,009,499,382,231,212,782,
046,972,717,040,184,832,303,362,524,364,568,173,506,754,484,893,803,857,883,
706,621,640,214,508,901,313,375,395,269,507,970,916,526,316,020,667,053,366,
135,952,100,732,951,900,764,849,909,564,441,891,409,378,476,261,369,389,053,
589,524,317,153,111,800,783,876,607,230,547,042,386,508,735,233,634,485,103,
604,936,519,262,287,005,787,183,590,960,433,091,388,358,226,850,359,443,789,
872,072,691,052,513,831,557,315,677,789,591,912,811,396,309,915,744,141,946,
367,527,037,723,079,669,055,086,138,494,982,347,108,533,195,129,700,773,280,
169,207,626,068,775,444,381,916,677,685,282,572,345,932,965,123,933,990,496,
536,038,733,798,996,097,291,905,016,265,298,276,824,797,703,985,110,883,916,
726,390,605,137,090,104,210,590,848,368,314,295,132,669,313,939,435,366,184,
844,176,107,160,376,363,669,517,197,211,640,918,947,346,560,478,674,385,429,
433,760,785,066,165,709,490,121,703,242,392,820,584,013,162,933,950,512,571,
633,502,905,839,922,468,414,999,815,130,299,592,919,514,318,800,988,698,627,
505,985,054,623,141,988,236,376,245,784,960,788,388,850,074,056,528,431,528,
890,140,862,035,968,115,529,170,221,519,448,115,360,647,499,978,943,201,884,
352,146,915,456,740,783,278,794,785,508,029,722,735,338,876,959,622,581,617,
350,117,040,036,133,926,359,030,408,856,991,051,351,963,837,252,697,632,330,
998,893,841,255,407,159,287,672,932,465,672,780,679,959,128,336,370,688,715,
552,143,622,718,675,078,464,356,642,519,368,667,809,840,063,916,435,720,539,
520,600,274,700,872,886,089,876,133,202,301,555,326,735,020,838,809,473,452,
721,635,507,464,167,919,957,593,585,550,248,560,865,195,271,177,789,772,373,
706,090,432,887,599,759,920,912,061,210,357,475,465,594,133,077,604,324,310,
466,656,424,631,122,541,189,837,088,990,848,552,430,141,488,586,056,005,690,
036,015,842,886,361,026,185,806,321,331,009,099,690,565,734,859,336,646,403,
067,233,816,226,171,243,452,336,689,190,611,737,182,904,518,817,250,133,768,
113,243,206,167,893,728,433,258,644,573,344,788,740,275,831,662,832,945,999,
743,434,885,670,188,946,453,245,346,501,291,186,131,708,237,202,395,911,837,
806,995,196,010,153,785,164,504,980,465,603,508,574,932,097,437,971,949,195,
812,489,283,164,765,765,271,308,547,305,058,701,555,159,799,254,251,361,066,
607,527,868,262,208,368,000,367,441,979,977,741,635,603,913,234,296,833,647,
551,783,316,497,929,071,141,644,675,609,377,545,293,838,813,096,994,900,875,
138,848,125,038,509,208,915,877,184,337,680,374,700,057,321,322,819,912,210,
850,791,654,279,850,049,870,144,998,461,973,795,067,508,730,790,164,544,919,
619,712,132,564,494,810,148,818,335,455,492,194,899,334,519,729,325,265,210,
106,600,826,957,863,594,034,250,654,705,395,909,486,900,984,179,978,459,718,
309,738,763,895,271,862,150,225,222,676,113,264,431,060,612,352,373,474,553,
495,055,453,935,208,657,126,819,753,961,832,374,850,432,098,147,169,455,661,
833,777,692,967,452,157,975,155,514,557,842,981,212,256,481,698,398,290,783,
479,853,093,184,495,714,148,063,488,361,068,968,852,794,352,692,484,202,488,
920,908,428,203,932,391,587,933,276,415,228,193,762,265,409,923,684,941,142,
892,655,921,149,828,563,331,853,344,958,842,630,453,988,124,373,014,545,899,
581,604,752,778,053,080,750,788,340,521,995,814,959,345,740,336,291,878,228,
308,293,970,939,591,591,299,309,694,895,526,886,698,722,024,260,092,849,009,
515,847,055,837,478,689,817,349,425,167,624,361,516,930,242,489,305,654,631,
855,968,553,024,844,576,605,892,030,403,575,069,316,897,058,243,026,827,042,
085,063,657,722,104,343,859,268,028,941,820,870,533,291,943,070,507,370,034,
340,039,667,707,295,513,579,251,261,923,740,761,779,240,353,425,855,171,941,
646,071,257,175,292,997,538,921,759,656,615,590,764,872,206,926,740,782,312,
158,577,960,982,764,968,256,655,608,304,130,620,566,816,785,461,330,643,904,
611,783,283,909,438,243,239,168,229,124,982,198,792,510,154,069,591,429,904,
731,314,038,935,942,566,210,822,746,608,236,569,595,300,628,213,467,793,031,
922,977,362,437,758,283,206,720,752,266,683,466,501,826,626,912,362,211,276,
542,983,383,878,705,585,466,452,715,259,353,816,995,868,260,179,652,393,893,
813,241,372,437,632,067,785,303,994,367,450,544,726,672,195,717,632,352,569,
920,699,884,956,897,660,157,264,115,214,339,746,077,616,328,759,979,276,161,
619,685,077,594,436,649,214,722,333,744,445,839,894,882,846,976,101,415,497,
077,988,140,223,684,493,834,328,785,130,535,487,203,309,051,366,263,054,981,
940,656,738,549,836,222,292,982,000,195,710,805,828,653,301,304,416,947,988,
133,473,156,918,349,646,669,056,610,603,849,907,789,529,130,753,322,679,596,
541,529,171,753,216,028,506,743,472,222,820,020,204,243,119,427,190,220,766,
734,120,535,957,420,173,128,219,713,556,514,543,794,629,501,670,851,514,127,
968,246,319,317,021,530,784,520,586,052,918,359,268,270,268,572,594,862,210,
679,449,897,241,940,706,052,160,635,742,536,361,375,934,155,870,325,057,240,
216,326,697,398,249,917,764,553,568,482,053,064,582,262,720,940,675,715,918,
310,851,745,889,009,147,045,902,846,798,516,274,751,378,307,228,841,250,019,
855,376,150,462,419,910,791,122,784,795,283,160,011,673,366,714,533,775,009,
722,738,992,889,925,636,804,098,652,270,334,094,394,093,342,009,122,206,702,
687,727,887,948,220,317,246,124,340,705,680,954,032,513,532,761,547,623,445,
271,959,356,084,846,154,116,735,433,369,371,088,765,695,353,628,446,677,364,
109,201,195,126,834,493,968,186,304,129,454,415,392,004,214,614,361,800,336,
629,082,693,730,675,563,528,103,719,930,980,591,513,658,530,054,618,480,674,
719,784,080,785,405,471,253,723,266,156,948,582,505,672,269,688,048,703,139,
124,654,287,224,423,051,570,461,310,612,976,581,759,475,260,505,854,998,242,
374,352,178,721,921,078,272,835,424,516,466,815,700,688,775,584,635,498,435,
264,713,115,324,236,693,704,992,790,770,288,089,117,245,012,655,242,678,757,
726,141,329,082,053,858,318,015,962,213,908,259,340,090,224,903,629,439,301,
612,804,006,703,080,137,437,378,392,713,237,762,889,491,955,177,337,149,100,
510,182,353,492,674,158,549,868,266,897,940,330,352,352,514,697,637,712,897,
999,668,223,623,839,907,903,525,450,659,926,581,563,614,631,590,183,176,442,
629,746,854,087,729,757,045,443,036,674,064,591,719,486,503,779,249,689,727,
724,351,784,476,449,177,314,071,763,010,111,071,958,636,843,433,873,267,384,
928,373,054,694,357,601,469,484,825,052,074,615,287,978,772,833,040,285,485,
208,761,226,987,495,784,637,291,567,761,500,891,103,975,994,609,654,075,670,
166,675,459,473,425,578,511,755,880,748,690,296,950,082,127,356,923,306,033,
655,583,463,089,597,358,842,807,021,614,460,944,183,360,919,840,106,066,230,
593,625,395,744,075,250,677,643,228,712,675,537,006,529,644,264,559,082,980,
546,988,184,061,159,867,167,622,354,996,601,994,483,981,581,330,267,906,504,
842,623,891,165,891,334,405,317,080,088,306,457,728,496,169,278,419,985,858,
687,503,122,360,952,299,108,124,546,770,868,105,497,602,014,552,958,296,494,
111,134,612,450,606,499,573,562,443,197,349,961,735,011,926,430,745,604,371,
485,689,646,999,646,808,020,817,357,639,506,957,699,974,764,474,000,456,687,
125,607,787,956,250,902,327,420,463,366,286,507,274,672,966,248,849,057,567,
884,752,541,223,616,897,065,075,997,296,254,684,402,149,139,318,154,868,234,
320,682,804,296,714,124,934,406,128,452,437,558,039,296,551,920,145,422,496,
034,287,745,508,450,374,457,041,035,782,191,912,207,534,819,476,768,094,122,
632,380,638,877,959,423,657,584,296,040,560,584,506,081,099,837,765,630,967,
671,344,134,861,250,822,438,401,220,992,818,379,819,173,046,409,466,423,725,
415,596,088,354,052,098,380,225,554,427,570,898,095,487,699,470,333,028,435,
932,126,949,679,017,492,218,210,960,560,278,005,002,722,326,197,097,461,646,
374,826,311,221,951,362,455,450,873,407,953,294,677,286,715,238,357,612,965,
159,720,754,856,943,369,618,406,636,267,875,304,461,100,344,121,942,080,962,
662,081,234,854,458,485,214,052,822,480,480,882,679,321,211,051,457,640,617,
912,516,835,071,920,260,216,022,269,899,973,563,672,326,238,250,385,081,149,
069,261,821,415,295,448,559,710,505,044,974,845,763,636,922,022,614,510,934,
984,244,265,991,275,933,492,041,004,672,093,904,664,448,709,268,538,427,116,
187,792,519,143,368,280,390,579,846,096,333,333,264,429,408,254,715,088,400,
087,927,637,802,477,238,026,128,991,810,708,276,821,065,029,256,090,025,824,
018,974,209,332,435,883,687,155,111,078,335,354,072,241,536,094,443,172,932,
173,948,585,568,291,150,381,153,978,590,192,387,575,788,405,041,689,750,134,
348,869,401,442,998,188,891,614,893,726,360,433,904,049,778,413,456,001,189,
851,839,783,666,971,156,767,221,963,842,205,822,597,432,840,068,938,938,174,
103,270,432,563,589,076,721,621,188,157,767,805,645,126,705,080,573,106,734,
341,713,918,128,468,209,431,667,620,827,488,978,042,102,739,908,644,915,877,
820,274,496,080,456,851,448,370,787,658,321,395,343,792,451,126,470,969,205,
298,345,003,418,890,491,770,677,241,100,098,429,094,191,761,596,189,869,127,
830,158,869,269,736,475,062,184,096,060,668,181,450,369,557,477,921,774,275,
151,497,237,773,206,916,443,287,569,609,890,487,164,677,595,518,491,581,667,
640,269,868,383,695,827,532,816,167,933,027,662,466,334,558,064,009,055,042,
245,860,347,573,717,112,238,593,846,607,064,229,560,034,864,169,173,546,985,
633,436,379,527,467,712,523,317,310,793,287,786,606,194,749,764,083,360,163,
094,426,961,101,080,165,252,851,229,043,340,701,214,990,457,067,418,966,163,
620,114,603,439,393,501,854,581,447,353,460,313,672,214,005,583,447,487,232,
482,944,686,456,237,269,996,805,674,644,644,940,447,759,778,136,818,777,552,
969,939,478,586,387,075,922,238,469,748,665,762,701,558,332,079,178,555,557,
412,618,624,183,631,251,261,029,331,420,397,673,111,881,464,431,378,442,774,
322,264,396,094,778,641,477,338,070,280,655,539,248,209,701,683,457,749,669,
445,635,365,683,313,650,250,709,775,679,456,370,675,268,410,584,570,824,778,
334,872,933,179,691,576,477,704,846,553,184,193,351,726,955,368,275,735,692,
688,497,248,819,595,996,042,121,959,372,808,574,324,573,290,281,045,065,204,
356,527,563,737,000,467,715,932,184,323,290,806,110,694,625,907,820,600,986,
259,702,625,877,669,904,906,371,942,484,073,813,688,337,006,732,516,551,351,
335,044,828,018,007,504,685,200,528,281,649,156,324,626,153,795,955,818,089,
172,553,957,922,526,899,301,106,275,923,644,339,233,854,630,056,431,460,973,
442,276,681,778,531,625,521,294,484,371,204,949,449,906,696,483,422,000,138,
448,391,365,960,701,714,518,206,966,554,293,876,226,185,305,155,369,660,334,
932,669,806,341,973,357,242,448,672,360,242,868,593,264,121,812,631,033,649,
070,489,943,849,538,739,928,148,735,160,673,981,713,452,312,567,910,603,370,
675,055,616,750,782,426,552,456,603,906,567,149,055,536,249,602,493,062,215,
680,859,126,294,347,417,890,352,407,744,261,105,229,848,496,413,454,172,482,
221,202,017,287,605,806,026,309,047,617,686,425,984,462,635,541,264,601,653,
473,753,149,881,670,128,319,271,345,698,545,654,714,508,011,224,019,507,211,
194,280,060,836,247,803,476,154,333,814,262,363,971,409,286,522,318,274,896,
321,645,486,631,806,824,813,168,408,289,980,427,131,139,550,034,264,846,563,
265,814,107,392,253,303,474,926,712,303,674,185,714,537,310,953,342,507,070,
272,347,563,321,672,085,702,516,818,702,838,371,931,242,665,304,210,716,848,
304,820,718,360,030,711,130,665,417,530,812,277,668,848,698,904,934,068,476,
726,482,629,538,593,790,448,219,919,218,491,929,927,340,221,424,841,217,611,
767,447,896,235,388,860,171,654,968,384,385,950,342,424,237,413,932,560,741,
086,270,756,142,939,444,033,228,522,887,892,468,881,203,377,212,658,833,827,
261,656,494,206,262,345,535,955,682,570,261,220,206,584,925,241,316,178,033,
816,850,490,645,143,356,789,975,436,507,431,565,777,178,503,275,205,743,978,
136,644,486,372,095,987,292,323,913,149,395,484,615,717,434,682,637,941,292,
994,406,878,875,640,474,693,338,651,267,138,693,984,417,195,888,582,620,609,
811,073,897,512,920,334,173,267,630,890,930,041,706,393,724,703,766,062,344,
409,830,513,178,682,349,668,093,968,239,006,856,639,486,268,760,336,577,921,
147,698,318,611,584,588,375,671,709,675,839,754,518,821,123,434,819,235,827,
324,910,409,076,787,904,345,651,744,079,624,503,224,830,510,908,464,006,477,
013,849,284,923,835,583,955,535,700,912,943,911,001,267,564,716,588,406,538,
592,024,037,826,962,563,054,495,606,808,278,638,412,331,367,399,269,228,945,
535,424,650,787,576,224,997,828,135,303,880,426,144,002,680,975,783,859,617,
887,050,453,872,686,023,097,463,136,523,356,839,093,782,140,356,634,610,271,
468,034,895,116,708,321,808,497,111,788,237,131,581,891,929,077,442,528,910,
656,950,936,577,913,935,058,825,310,305,787,991,767,263,332,217,536,412,081,
669,421,166,137,604,316,084,951,218,402,322,509,762,835,590,432,786,477,608,
882,062,369,868,018,268,206,523,537,232,442,078,119,375,049,294,484,948,255,
507,827,983,017,844,776,068,793,776,946,144,891,317,318,670,746,671,593,180,
452,324,115,061,521,634,326,703,112,167,235,067,142,822,582,920,306,732,472,
166,424,102,603,949,178,636,338,651,737,662,355,403,967,241,371,712,803,975,
898,588,187,652,385,371,475,581,565,522,131,524,369,423,113,461,767,777,443,
687,413,579,600,021,798,078,399,097,829,329,763,455,186,650,713,618,963,028,
288,369,882,224,570,021,933,731,919,518,096,401,104,393,168,080,579,967,886,
049,977,725,283,723,831,957,080,770,763,844,776,231,133,376,479,881,371,652,
167,412,590,036,714,874,712,436,014,382,663,226,051,086,482,747,449,603,589,
198,264,182,563,958,522,592,422,881,040,211,917,618,571,494,735,789,391,017,
144,053,093,900,828,901,047,799,962,419,180,945,095,408,268,433,701,219,815,
262,250,145,496,871,439,861,887,264,006,185,223,146,495,827,593,535,789,598,
744,938,743,852,949,553,453,669,617,983,910,289,259,014,547,319,473,756,856,
337,755,960,563,614,201,999,419,359,764,139,154,844,766,730,103,348,497,504,
839,725,663,412,634,204,811,300,723,902,075,672,419,043,473,702,800,533,118,
831,787,574,646,989,895,059,910,540,313,904,523,359,694,891,167,585,225,082,
125,580,486,941,687,403,742,894,869,909,116,913,745,423,121,425,745,336,256,
082,960,365,120,699,602,440,333,411,624,913,540,778,570,832,169,151,980,003,
173,185,975,746,060,946,403,063,910,389,763,499,804,011,824,908,839,802,944,
026,845,953,210,721,799,364,827,983,129,200,834,478,558,627,688,618,137,242,
467,991,619,817,363,713,103,700,765,821,958,072,393,935,710,881,836,819,242,
680,455,598,525,441,733,493,932,281,566,627,543,662,436,026,544,907,776,694,
847,284,239,508,242,628,361,882,435,411,895,057,578,353,859,018,076,101,068,
805,685,055,880,878,959,286,225,699,002,907,361,425,711,998,639,760,860,239,
295,062,079,671,478,412,300,830,886,479,240,569,609,084,182,544,434,517,246,
602,414,931,457,900,513,877,817,287,781,696,974,252,584,210,066,553,191,105,
059,206,610,499,409,369,487,884,908,249,511,636,506,924,683,252,359,174,464,
613,779,944,096,686,373,145,900,006,538,393,296,436,294,370,869,998,991,081,
660,000,315,306,276,997,645,346,225,207,365,260,510,679,616,413,188,543,403,
296,434,687,553,308,180,777,522,404,299,529,532,437,938,290,123,449,505,615,
421,512,510,524,379,924,831,226,571,775,026,829,901,251,366,174,433,121,691,
703,147,297,726,060,937,186,322,921,582,470,031,147,989,208,741,333,160,959,
333,886,771,654,241,350,046,275,262,109,156,139,255,419,668,658,062,138,645,
647,156,104,472,408,952,744,489,987,336,265,015,589,576,778,694,339,224,799,
660,040,392,836,644,519,342,012,900,374,791,464,890,106,696,675,420,666,082,
095,426,673,676,396,621,732,171,173,121,106,318,502,352,524,773,949,079,896,
330,030,533,936,453,017,125,848,373,583,156,891,322,753,813,406,463,626,212,
435,237,184,065,923,746,753,260,273,428,915,083,381,815,917,391,503,776,168,
177,206,505,646,104,606,454,902,765,054,490,084,163,418,736,847,839,867,643,
010,169,181,628,527,936,248,871,097,393,415,284,530,596,193,255,217,306,320,
824,806,651,220,468,279,079,669,907,107,437,653,226,658,960,332,223,310,780,
835,976,072,034,983,011,675,611,074,247,054,825,995,452,062,085,783,796,631,
840,205,276,063,862,443,801,548,145,973,861,239,805,436,023,639,358,468,369,
674,524,106,944,312,260,433,982,732,431,972,262,008,768,649,567,159,116,013,
223,884,777,898,822,451,119,647,619,710,721,827,924,022,021,842,151,731,266,
294,281,403,533,855,661,878,670,086,040,517,053,477,326,263,385,045,202,791,
422,848,434,655,420,998,169,187,828,792,081,979,616,334,970,914,936,033,757,
275,085,257,061,456,268,507,677,672,257,801,148,911,653,607,283,461,764,872,
901,108,316,148,083,323,191,020,647,066,930,837,203,300,493,419,918,256,167,
746,278,898,664,359,776,849,319,695,628,757,659,093,532,013,292,593,883,798,
556,150,055,163,330,081,137,247,152,336,173,063,654,605,096,828,905,896,787,
727,423,268,955,075,731,296,463,515,099,199,058,311,983,679,848,621,564,371,
236,919,769,566,852,030,644,376,493,512,244,195,214,963,753,160,081,389,664,
929,864,034,264,643,875,283,324,414,800,609,869,973,369,140,728,447,867,757,
575,756,013,993,629,161,550,304,851,998,301,164,960,089,058,118,011,262,260,
696,739,999,619,155,242,099,473,558,342,042,682,987,566,228,444,425,541,527,
676,341,956,554,030,589,406,892,515,996,621,739,216,935,027,684,227,686,173,
121,742,011,399,172,423,528,857,883,403,061,075,558,974,592,993,141,934,566,
745,163,452,351,583,426,921,571,070,707,183,133,804,349,288,043,807,408,913,
602,855,118,722,749,451,582,065,748,456,137,242,650,045,461,205,376,794,202,
515,518,616,532,979,455,846,995,305,441,897,020,920,515,060,378,782,249,761,
895,304,553,497,262,673,332,459,401,528,889,329,676,882,700,515,113,796,895,
777,355,378,735,484,046,413,351,833,623,174,165,215,995,831,383,138,052,199,
117,771,224,965,162,714,652,403,531,043,979,027,591,132,476,996,136,301,127,
147,336,362,349,987,568,097,680,815,953,832,281,914,207,239,086,447,349,959,
800,570,872,119,659,798,394,512,342,050,179,313,823,510,765,299,453,958,103,
441,259,845,498,493,194,096,150,439,528,412,478,685,331,596,625,595,437,464,
177,460,623,649,694,132,020,638,366,638,673,365,926,199,183,901,757,367,429,
901,096,962,855,521,059,005,626,658,559,819,125,115,106,336,914,061,377,463,
352,510,777,298,898,453,281,715,895,777,093,334,730,155,041,551,790,858,951,
542,012,855,601,915,971,554,106,374,902,044,174,962,870,841,991,227,553,374,
038,786,216,432,536,265,240,695,577,251,724,972,713,260,318,675,725,941,073,
781,979,587,262,287,945,019,640,599,204,840,620,080,737,610,558,185,546,859,
749,971,164,561,098,329,232,972,884,001,278,267,954,621,646,988,204,366,144,
001,861,605,280,623,246,646,809,099,631,438,724,659,569,053,144,969,015,458,
240,729,716,437,000,130,778,458,016,171,787,594,373,023,566,906,026,355,205,
924,418,922,868,983,139,639,426,778,749,212,689,908,900,195,030,264,890,487,
148,722,419,477,571,712,138,357,011,749,538,593,330,775,893,466,790,391,133,
058,028,334,678,910,671,546,721,934,488,160,216,399,241,705,281,378,441,660,
218,418,509,882,244,501,983,075,786,058,748,820,098,046,258,705,762,095,516,
119,913,739,607,278,161,924,561,500,158,184,676,498,481,301,160,617,396,953,
893,566,562,602,238,729,846,306,166,380,033,236,526,457,252,265,132,659,735,
007,123,893,765,961,173,610,877,914,071,368,261,433,914,044,298,362,534,052,
446,533,907,826,133,026,105,001,564,997,200,719,566,791,568,713,539,301,091,
752,150,949,221,813,719,437,409,721,876,008,581,634,718,923,712,381,948,968,
023,282,411,548,793,464,560,927,373,071,663,762,014,809,335,818,074,907,396,
638,195,517,030,798,417,344,002,057,661,034,681,111,620,617,842,457,586,826,
665,979,046,748,994,900,383,853,824,965,715,165,343,465,311,612,195,347,218,
792,848,135,179,240,060,595,726,275,292,526,508,746,321,777,637,828,445,830,
213,972,158,491,751,577,684,424,656,148,833,952,885,121,821,251,249,952,920,
990,589,312,897,067,482,663,998,171,879,781,134,408,736,878,060,711,268,371,
784,258,009,540,907,013,575,834,934,891,029,812,633,560,539,422,755,589,856,
488,004,977,322,849,136,701,562,553,802,263,040,198,921,863,680,181,006,394,
375,593,438,207,250,672,114,226,235,677,326,917,630,356,086,032,282,378,336,
922,823,180,287,967,011,923,084,746,060,750,497,490,729,068,196,236,284,826,
095,465,351,613,455,949,502,432,643,872,602,765,420,341,415,003,004,139,476,
524,715,637,835,910,441,445,054,580,154,514,695,176,635,631,520,573,270,268,
522,839,574,895,421,228,197,864,469,678,687,307,824,667,204,292,377,560,490,
051,300,077,474,970,254,105,385,254,239,493,878,623,183,816,899,362,385,156,
948,940,551,099,896,802,511,180,999,435,138,741,793,691,262,041,288,090,987,
711,479,092,605,285,502,564,639,204,589,381,059,958,296,326,850,760,767,229,
629,892,014,582,174,463,673,161,645,556,065,481,759,216,852,599,135,747,822,
792,398,351,929,657,840,226,034,393,067,437,713,471,953,352,547,787,575,508,
620,814,395,436,300,011,068,140,141,997,232,953,449,676,675,536,680,483,722,
423,129,912,831,298,390,319,474,338,954,268,413,375,947,656,600,897,104,484,
734,742,821,298,251,930,390,055,829,337,880,552,200,355,588,114,804,416,643,
712,761,249,544,604,423,558,544,129,622,923,332,524,567,900,238,007,366,920,
995,049,841,519,410,060,523,097,579,093,607,392,231,716,663,362,447,330,207,
745,056,795,565,517,970,131,538,866,294,118,635,528,238,773,273,069,471,112,
745,066,067,599,964,529,524,111,410,731,239,534,869,860,809,059,375,323,533,
601,263,867,031,638,677,571,097,800,997,191,213,770,343,998,329,271,169,543,
300,140,667,578,204,686,072,639,773,078,934,737,086,847,037,186,586,517,856,
570,612,218,187,335,815,131,595,727,427,733,482,668,611,544,894,184,749,858,
648,163,664,025,811,428,780,220,731,494,762,944,333,706,322,922,513,862,004,
910,764,397,908,858,350,497,170,278,808,532,372,169,300,494,329,293,922,710,
713,985,155,386,672,961,120,812,826,119,551,772,851,068,511,336,749,626,994,
287,920,390,882,646,371,632,019,771,960,644,129,294,949,679,335,997,536,916,
693,297,230,554,699,738,088,456,934,442,753,295,096,425,736,836,850,527,189,
739,476,560,581,330,421,544,247,379,320,558,770,625,671,154,255,689,123,738,
063,860,868,796,155,322,789,826,341,485,328,856,180,552,305,521,047,550,535,
576,109,597,055,398,478,426,882,290,153,611,538,312,697,711,497,534,527,478,
255,223,752,779,312,279,246,657,508,373,661,322,625,037,263,628,343,174,992,
399,018,258,908,125,084,422,398,207,604,561,438,621,183,558,957,427,928,608,
299,008,234,680,831,088,764,734,724,658,961,172,057,157,501,156,208,531,198,
737,680,161,701,059,932,502,722,248,522,559,015,884,942,128,637,713,623,120,
628,898,842,422,293,044,067,553,021,418,262,862,687,693,323,158,329,378,123,
466,476,544,408,928,035,115,070,137,291,298,815,503,456,813,694,500,466,265,
065,753,599,487,694,248,233,279,955,445,678,625,682,915,235,576,433,598,179,
593,702,935,342,287,674,476,694,534,033,288,902,716,407,395,857,139,055,645,
952,157,205,752,702,078,179,556,998,460,664,951,574,017,973,792,490,346,633,
300,186,612,884,056,532,983,384,165,463,237,893,571,314,923,601,027,353,865,
600,277,025,630,859,950,156,444,040,938,944,830,455,052,337,493,421,979,521,
142,622,274,031,813,738,729,426,248,566,887,547,326,512,138,093,165,349,951,
392,359,193,911,283,172,493,068,724,683,465,030,472,054,920,078,046,283,918,
364,277,874,974,745,805,518,394,446,209,174,773,065,188,928,520,913,265,113,
142,186,338,711,669,935,851,523,446,199,053,912,201,143,860,390,061,642,839,
818,469,103,663,484,435,155,373,096,935,812,524,002,831,136,129,437,541,533,
386,886,620,688,591,172,657,517,056,459,541,709,238,450,413,650,200,853,447,
201,593,154,721,040,900,342,653,016,947,744,505,746,292,143,324,042,190,853,
548,806,675,896,368,729,441,466,107,202,128,449,829,613,144,056,471,489,777,
443,508,643,718,433,658,157,740,344,317,372,179,105,756,686,553,448,454,274,
412,829,055,910,917,086,650,411,660,115,197,484,257,392,789,518,430,134,206,
651,003,392,244,841,008,636,340,656,926,901,019,973,952,234,121,023,439,623,
497,040,363,146,597,657,104,139,438,522,274,071,352,041,533,274,955,204,792,
318,684,336,692,755,001,207,648,964,928,486,041,681,026,617,759,573,565,964,
285,849,890,503,105,334,135,149,880,460,512,986,997,019,961,661,785,005,558,
868,515,513,590,131,968,851,977,812,842,846,646,679,636,953,798,180,145,868,
230,943,278,646,487,209,905,340,798,222,423,608,787,729,904,764,402,750,662,
659,493,693,875,636,580,083,760,515,365,260,495,398,427,802,635,389,915,558,
354,346,269,477,839,491,551,108,277,457,451,280,903,008,992,564,677,588,797,
933,982,415,056,176,000,668,769,349,697,881,382,585,795,971,266,575,743,314,
444,246,323,667,527,268,056,824,114,798,654,156,762,239,046,793,947,834,924,
410,761,538,731,427,947,866,569,049,666,589,481,261,161,396,220,912,239,527,
426,932,712,602,133,440,831,001,026,888,201,977,974,031,000,487,001,764,771,
190,142,135,708,880,241,125,801,159,600,626,474,455,301,309,908,523,071,004,
547,318,790,740,940,330,162,982,447,207,133,519,741,293,756,160,889,121,935,
127,262,932,197,474,867,940,924,078,703,147,164,785,741,007,230,618,943,278,
498,623,579,871,991,832,001,209,006,507,354,931,893,581,846,917,157,076,725,
506,424,785,731,901,197,866,367,366,670,177,833,004,217,579,563,506,347,654,
534,665,819,041,997,079,624,921,736,669,499,513,637,874,575,006,535,618,679,
833,982,368,703,361,088,019,577,240,953,164,977,186,399,671,429,051,466,183,
556,999,714,296,398,894,934,213,015,967,724,994,268,264,565,181,452,448,219,
657,961,836,823,483,155,463,035,519,646,891,249,233,460,496,696,865,824,453,
574,593,107,276,550,795,612,165,208,370,119,950,652,945,349,004,559,656,893,
720,820,574,105,130,607,870,577,855,035,938,591,502,327,537,318,966,644,747,
976,723,814,041,617,403,864,502,434,998,437,091,453,572,555,614,714,761,883,
158,179,739,972,354,046,865,538,447,642,200,629,492,360,593,613,228,413,674,
321,562,467,957,265,579,093,569,985,606,121,296,908,872,401,952,598,144,440,
004,024,861,927,719,681,797,646,890,565,946,261,177,780,079,051,822,606,663,
560,450,013,886,135,109,085,680,624,468,810,218,840,277,411,319,157,225,264,
828,431,972,376,264,075,089,137,007,323,982,327,347,349,716,293,275,341,966,
002,582,795,313,978,221,420,396,004,786,984,641,611,107,592,973,959,816,954,
056,674,216,130,745,199,469,083,371,438,414,455,774,608,133,322,550,020,853,
231,676,153,875,794,444,798,629,164,627,141,434,016,910,273,461,206,725,747,
430,337,037,595,675,867,247,945,062,314,407,487,407,686,347,291,176,319,460,
117,997,378,796,666,805,879,787,235,082,074,482,267,933,329,947,385,971,400,
865,635,871,482,445,667,938,884,859,361,854,770,026,269,840,142,961,668,297,
312,949,424,658,520,419,015,434,936,791,017,762,741,914,221,950,711,479,726,
146,520,675,466,409,464,540,571,200,793,487,861,719,689,699,369,732,780,985,
066,952,464,565,888,790,340,425,925,681,325,364,660,797,429,936,314,073,030,
719,785,003,802,001,177,628,805,052,295,553,526,623,517,752,979,384,751,992,
923,125,710,538,051,827,047,625,402,615,147,272,040,274,110,424,068,504,447,
934,139,044,109,771,938,370,044,573,974,845,153,759,412,974,785,317,362,636,
112,671,193,829,581,787,031,675,601,687,044,076,969,970,657,392,464,842,746,
203,751,697,083,520,740,616,918,728,132,283,130,600,143,568,122,409,659,861,
695,099,042,390,539,598,113,839,030,876,274,377,818,353,921,522,468,659,480,
901,578,200,192,664,859,090,729,507,283,487,676,564,526,560,098,507,437,206,
850,354,484,864,334,246,072,356,313,425,989,889,970,341,216,550,354,431,691,
917,233,306,451,322,966,513,265,515,193,018,516,032,549,494,347,989,098,436,
539,126,882,462,476,949,542,209,892,630,668,745,231,028,650,534,630,122,511,
486,167,428,878,998,193,960,998,858,177,808,188,411,510,340,175,237,403,036,
357,623,590,770,505,358,223,708,560,902,648,226,090,937,643,170,854,945,196,
576,455,958,900,066,426,265,123,358,628,965,030,918,771,407,192,185,543,359,
577,386,935,906,498,269,683,092,293,073,772,303,117,185,329,297,102,077,457,
171,889,010,905,482,618,899,118,227,281,968,773,285,124,502,587,484,952,949,
945,765,060,710,351,944,035,381,093,889,708,243,359,852,749,167,144,884,671,
901,660,604,798,449,348,731,918,619,412,794,494,306,322,767,049,941,424,138,
787,154,997,254,876,639,528,761,203,106,438,453,068,546,157,823,200,493,041,
743,823,726,686,768,073,440,393,876,272,389,239,808,951,594,373,648,710,710,
842,402,608,428,897,193,322,453,880,712,608,593,338,828,048,311,190,321,178,
866,801,609,566,104,550,275,534,550,035,659,993,986,271,138,227,975,969,844,
263,176,558,290,517,015,032,657,713,308,225,423,095,823,661,019,837,116,006,
040,821,712,168,270,985,413,510,651,308,275,216,727,463,718,921,297,419,927,
235,459,717,888,502,506,578,296,599,108,020,475,045,294,477,604,531,586,750,
614,089,749,389,052,495,298,667,537,585,679,398,200,607,622,991,690,162,533,
436,774,004,101,532,300,496,990,005,232,189,221,252,164,534,803,024,471,287,
325,628,936,866,420,583,478,016,368,612,139,739,250,937,827,136,337,766,217,
753,671,529,311,968,059,831,201,265,874,751,021,671,439,506,433,407,991,377,
405,475,699,669,030,706,114,971,092,478,770,430,132,327,525,769,701,419,250,
834,182,280,668,049,566,404,332,302,900,979,911,149,251,158,731,595,457,200,
440,992,607,946,545,820,384,487,053,508,128,984,222,305,663,942,309,403,200,
369,326,606,831,607,212,181,246,042,385,769,958,795,972,326,690,525,303,470,
580,622,204,528,715,101,197,810,043,747,883,659,184,173,030,629,050,448,749,
439,094,948,185,848,004,232,879,577,767,590,087,900,188,377,551,701,413,893,
776,441,576,107,621,136,783,295,147,547,427,869,700,220,390,813,403,594,063,
997,232,192,976,511,886,205,417,301,889,716,343,208,572,129,646,521,748,959,
705,045,392,045,381,774,043,751,018,084,826,382,338,674,866,722,101,640,938,
603,360,675,733,101,508,622,444,833,654,424,301,439,450,359,322,599,241,352,
105,815,462,962,268,666,842,138,187,621,694,162,484,113,172,187,795,082,832,
254,363,286,449,005,522,225,762,687,930,784,654,382,587,582,084,030,842,955,
804,665,797,752,860,507,900,658,685,474,661,560,648,912,108,596,606,246,733,
238,830,785,838,884,867,212,659,151,174,901,357,138,760,243,220,111,266,731,
529,164,691,189,417,408,122,672,981,782,547,646,971,026,941,938,971,274,020,
713,289,409,275,850,672,334,740,724,921,684,489,391,449,250,036,523,248,183,
067,603,011,343,616,323,194,716,123,459,509,271,922,477,808,142,191,422,158,
793,390,169,994,721,189,983,957,479,868,328,046,870,411,164,513,355,663,374,
818,891,329,371,255,512,318,560,278,614,490,356,218,225,135,357,163,673,988,
088,440,810,549,549,142,682,652,225,392,620,124,330,502,307,135,868,575,724,
014,364,253,782,415,606,556,912,396,334,226,856,309,654,636,057,832,901,025,
075,214,608,199,884,893,681,946,036,683,251,388,279,964,771,999,228,181,737,
067,577,731,525,065,760,409,265,228,764,667,976,572,148,690,910,472,873,761,
395,077,262,310,060,211,062,435,380,697,927,347,104,099,459,293,737,753,835,
075,167,961,080,275,131,295,526,343,900,476,219,554,225,360,523,432,134,332,
685,704,392,342,084,452,520,895,450,197,552,376,014,411,872,516,822,683,233,
719,793,139,282,015,913,397,317,568,578,797,355,408,454,876,297,220,110,538,
250,137,683,554,708,665,076,213,935,607,469,559,253,288,106,511,818,916,236,
465,988,301,640,682,567,236,058,754,578,357,900,709,231,312,868,548,327,744,
827,510,493,459,914,349,892,600,850,058,687,585,943,930,647,494,526,285,344,
976,805,973,956,198,419,657,151,732,529,614,346,527,505,026,032,993,680,624,
176,173,042,302,155,275,489,506,306,746,657,750,479,754,433,807,557,417,368,
518,623,869,794,181,346,450,786,604,528,742,011,521,989,346,109,435,677,474,
550,493,494,695,362,767,814,842,297,198,114,500,051,240,142,117,196,568,945,
099,984,517,955,909,214,378,106,767,273,265,556,931,211,336,745,324,785,191,
561,068,083,960,248,916,275,233,647,863,879,754,181,548,614,319,094,096,118,
321,168,885,432,315,409,370,478,450,379,986,765,795,862,114,825,342,501,280,
988,733,041,547,339,565,627,816,029,328,243,169,701,759,390,223,699,418,308,
322,373,019,714,284,327,537,841,559,530,606,613,271,278,306,971,302,312,708,
608,599,098,662,130,457,235,565,637,752,479,777,786,021,334,678,244,248,000,
424,765,194,910,428,874,369,089,802,209,961,015,105,557,917,077,255,836,533,
971,917,062,648,243,496,040,455,577,447,722,363,343,028,243,202,346,840,639,
754,383,028,338,598,993,358,889,298,631,803,604,122,357,202,057,396,893,457,
050,981,693,338,227,916,013,397,234,001,153,646,904,976,135,389,036,954,557,
493,534,353,879,344,801,375,190,718,975,442,551,818,612,780,686,907,123,773,
799,423,512,712,542,781,700,165,535,759,397,497,693,585,743,324,379,822,556,
964,560,203,517,316,718,128,590,814,473,786,123,720,768,046,888,902,458,482,
795,412,506,412,125,288,811,833,463,836,429,859,183,647,328,366,883,778,312,
392,475,572,621,583,369,667,946,632,605,853,296,897,538,563,671,870,916,911,
651,157,736,541,994,786,093,047,350,383,200,290,758,362,010,859,499,896,720,
819,374,175,523,155,489,095,575,725,855,041,257,150,366,621,427,846,622,062,
194,862,217,131,469,771,606,622,142,725,198,083,065,949,747,140,784,877,235,
315,148,820,752,072,708,818,680,069,137,651,029,899,236,182,208,192,604,444,
429,179,319,113,400,545,452,915,740,124,683,362,460,913,983,733,532,570,334,
194,377,963,143,697,910,682,858,208,462,048,654,303,750,482,437,227,844,100,
159,864,470,362,150,941,158,508,484,060,404,033,368,494,737,227,639,813,468,
926,494,982,353,320,363,399,197,804,507,761,688,289,327,448,672,050,488,807,
549,972,162,837,339,310,474,377,470,382,198,881,185,507,544,788,212,315,345,
351,255,262,264,121,876,358,679,735,349,452,007,121,593,947,695,340,141,609,
309,807,772,841,713,491,034,114,419,460,407,418,123,979,271,721,636,257,048,
006,626,611,242,088,194,767,216,034,038,110,536,311,869,520,021,369,099,224,
077,464,284,606,076,160,212,365,637,525,254,414,874,873,496,238,834,058,809,
713,121,328,077,987,600,154,972,026,204,172,427,654,639,713,101,084,223,791,
543,911,008,574,479,118,523,965,184,513,924,897,546,866,927,626,389,554,741,
288,362,553,026,023,198,241,119,783,042,800,436,009,550,037,114,718,740,347,
239,617,333,369,153,718,153,700,861,045,618,020,854,007,811,554,455,714,257,
175,001,252,690,056,347,025,176,922,925,034,422,093,347,976,457,050,002,182,
315,917,261,850,832,979,875,256,220,546,268,834,707,243,025,086,768,553,941,
732,283,539,590,117,941,017,491,789,200,752,799,613,557,721,332,678,214,120,
144,078,283,723,389,554,192,221,579,868,797,853,392,449,859,456,284,365,467,
498,479,083,284,132,031,625,186,424,264,067,338,940,086,808,109,347,366,683,
388,751,438,483,981,537,358,251,510,277,310,243,682,770,333,898,551,454,768,
440,485,634,719,838,637,789,758,668,631,881,367,710,271,806,234,439,231,658,
747,189,434,215,487,762,213,693,591,783,147,959,467,527,052,902,484,949,786,
164,244,076,245,711,716,166,897,483,244,871,960,856,659,720,574,725,659,799,
611,301,095,681,337,955,056,903,442,155,273,150,096,152,774,148,376,497,205,
554,550,174,498,655,521,673,669,775,667,126,404,932,525,691,246,944,927,917,
304,307,019,636,405,365,272,693,844,288,175,070,931,384,859,922,636,856,999,
375,361,784,157,638,373,048,129,464,253,152,215,047,583,893,931,330,554,677,
686,537,187,781,901,490,520,357,733,754,130,228,062,674,437,810,736,381,123,
950,803,346,037,426,288,499,028,825,636,475,745,473,118,531,476,408,599,904,
008,851,345,981,428,113,095,364,996,014,774,503,715,125,714,923,190,636,155,
393,581,597,658,098,991,141,909,102,688,021,531,642,848,939,173,282,654,712,
740,384,051,721,933,427,424,173,063,010,087,807,275,651,062,474,915,876,721,
020,738,305,863,671,775,322,422,175,311,978,358,412,794,388,136,028,315,394,
517,227,823,894,008,758,392,974,037,292,694,044,652,246,338,618,770,799,834,
781,900,719,160,231,593,512,009,700,174,639,994,292,485,469,901,769,621,626,
503,632,662,947,209,401,657,508,847,430,646,143,029,832,993,640,719,953,013,
468,270,208,440,821,952,947,728,283,086,383,970,175,484,160,244,924,970,061,
129,925,762,954,196,321,701,836,998,752,189,319,605,480,987,193,384,610,301,
286,119,631,127,787,324,921,903,162,844,336,529,546,171,662,395,816,090,973,
158,628,891,529,528,647,133,751,195,541,345,125,602,836,086,797,151,527,316,
993,668,147,016,254,380,119,444,002,902,447,558,845,424,920,592,348,672,179,
157,569,364,484,668,347,377,144,312,884,710,935,320,877,830,875,514,328,445,
319,040,276,554,048,852,172,177,372,756,195,748,156,343,141,706,970,552,091,
220,026,954,552,177,023,494,523,476,055,807,416,573,604,845,653,354,886,754,
182,326,714,256,880,394,013,024,049,164,008,118,852,187,024,169,568,039,304,
761,182,042,562,364,818,577,634,751,983,445,831,082,834,607,936,476,801,651,
072,350,208,744,599,400,519,980,051,308,210,599,370,413,842,687,246,187,196,
237,607,097,272,298,030,625,518,121,250,263,460,572,519,142,274,206,352,279,
313,475,818,200,413,568,180,828,970,184,223,073,644,950,383,288,133,513,496,
362,365,836,748,790,428,986,624,246,575,136,734,713,276,169,373,358,742,305,
350,923,046,427,473,578,772,790,918,609,545,557,266,282,238,268,903,818,017,
004,601,635,445,103,867,094,361,280,722,862,485,066,904,361,167,821,405,861,
246,324,125,984,339,124,221,459,775,009,277,831,486,737,548,025,498,392,096,
433,504,941,019,485,422,994,285,299,619,009,524,573,072,027,128,905,548,323,
705,409,320,167,791,652,881,414,099,500,424,250,930,571,353,613,803,281,626,
943,660,023,114,882,622,179,648,480,244,970,367,110,176,003,968,543,762,609,
517,390,250,563,597,397,809,711,601,633,727,016,095,577,650,932,943,727,209,
581,746,337,507,452,109,677,974,284,746,712,689,993,573,051,874,997,686,627,
627,648,525,826,114,138,790,169,556,674,368,458,282,333,063,505,179,623,364,
176,387,978,037,628,967,419,562,471,282,584,695,540,335,037,210,786,711,919,
799,656,512,229,912,313,914,087,651,107,283,707,928,891,495,602,127,623,663,
235,456,544,752,675,610,913,942,764,812,837,441,767,249,447,788,267,787,932,
855,340,513,517,864,143,623,929,123,592,421,139,343,833,248,538,713,873,538,
989,870,862,891,771,898,212,354,945,221,390,146,050,294,991,439,886,436,206,
243,793,574,885,367,316,735,767,306,823,165,536,180,860,469,738,590,791,974,
146,684,651,171,446,918,883,375,851,307,160,609,716,558,566,172,500,398,872,
869,864,978,490,955,040,323,377,810,762,004,022,800,610,839,955,457,656,820,
526,353,147,730,707,366,195,911,644,733,194,838,405,154,074,738,098,250,364,
340,377,359,606,027,093,909,351,882,134,892,665,229,978,773,584,616,240,488,
241,909,087,408,010,904,257,070,848,445,150,037,373,901,536,524,886,228,904,
832,842,723,129,259,719,688,866,116,703,102,960,114,338,255,331,540,219,068,
242,927,541,362,404,008,856,280,603,108,309,641,880,398,853,658,191,500,452,
188,126,783,288,123,756,836,533,173,455,738,306,882,635,215,065,617,432,351,
093,355,451,367,876,494,451,954,980,486,168,186,854,452,931,692,215,580,578,
311,055,682,314,467,849,862,533,634,029,622,466,124,279,288,325,618,890,238,
390,748,239,057,549,178,838,152,357,485,904,274,770,350,046,430,298,897,643,
387,405,572,575,615,875,770,235,051,763,214,537,321,354,923,031,523,295,038,
665,599,349,002,998,590,268,752,660,405,327,540,886,358,642,112,064,961,651,
122,669,314,967,340,662,114,832,224,158,020,911,888,965,140,855,905,112,905,
260,755,777,569,748,854,197,291,589,125,063,089,767,634,405,897,985,479,420,
268,924,609,880,995,623,541,942,507,309,620,228,710,074,502,427,570,877,438,
861,726,978,493,321,117,544,640,226,351,248,440,803,967,782,287,196,623,822,
219,974,179,564,758,350,959,626,607,135,870,100,836,864,125,318,810,664,706,
068,093,686,468,462,963,230,618,208,818,425,659,104,885,075,655,829,680,350,
619,027,342,494,088,726,298,352,750,673,112,649,547,835,417,467,388,738,070,
016,651,894,763,078,571,224,818,207,998,152,585,308,802,490,398,066,505,199,
999,280,454,424,896,345,732,985,673,397,355,553,526,078,372,815,331,086,528,
163,935,095,137,641,827,120,534,634,126,483,515,301,436,887,302,855,414,947,
437,029,566,788,105,698,080,745,108,615,866,958,286,118,950,990,607,272,504,
653,326,976,744,498,239,669,067,989,097,104,333,325,883,646,978,237,112,604,
359,123,321,534,513,545,669,352,317,579,353,173,913,629,103,158,463,904,468,
927,656,210,103,056,158,842,402,283,214,611,594,258,758,890,895,685,366,370,
761,514,514,863,143,499,431,188,378,408,728,865,422,770,426,981,169,550,131,
077,305,507,386,736,608,315,463,992,734,028,908,645,963,164,835,455,543,928,
794,806,109,846,350,905,036,511,932,559,676,581,261,858,746,825,737,527,395,
245,167,425,145,303,640,455,352,164,720,703,358,157,762,111,864,005,234,125,
892,425,938,586,031,412,789,004,915,200,338,681,342,797,969,376,369,330,942,
078,598,301,325,913,296,803,661,216,802,048,463,413,514,841,500,842,092,813,
430,471,701,017,409,872,671,079,976,476,733,748,343,392,260,295,661,404,166,
125,709,200,038,129,560,890,444,030,254,554,644,480,166,016,011,181,408,026,
535,688,486,928,582,432,816,900,533,492,953,117,601,863,367,850,532,676,787,
025,155,838,002,552,564,287,013,509,549,448,435,488,827,168,410,827,693,640,
541,485,898,657,401,211,030,671,867,724,318,268,262,211,337,120,163,961,057,
636,449,783,486,859,165,541,572,278,605,020,483,453,022,305,515,660,462,393,
344,075,078,262,365,629,848,367,883,786,888,233,192,539,267,308,683,652,515,
114,851,151,820,248,934,178,135,138,028,368,771,215,157,725,046,156,143,084,
017,111,428,687,186,709,578,326,898,504,158,526,348,579,348,206,942,482,619,
548,939,727,260,636,612,863,190,225,059,943,301,546,950,694,113,544,182,882,
385,821,294,042,341,546,893,807,521,957,084,947,450,545,695,298,654,911,986,
733,728,868,643,747,075,733,326,831,063,433,096,530,182,103,799,571,351,391,
199,749,381,598,801,320,682,266,773,426,158,933,555,450,689,433,429,053,253,
319,529,236,513,843,300,869,972,412,934,228,418,889,570,352,663,820,658,600,
191,720,269,574,874,070,780,663,776,551,604,619,471,818,512,641,689,627,555,
967,727,852,875,113,256,246,695,183,629,934,421,290,177,820,847,143,439,872,
952,772,145,605,772,147,306,311,632,903,759,092,730,186,382,250,203,688,726,
290,511,153,781,836,135,939,082,899,588,871,772,765,855,923,058,520,996,644,
032,398,156,378,467,707,175,816,556,745,045,158,183,640,366,433,431,269,362,
456,083,399,300,949,578,076,415,203,078,176,110,460,365,631,028,477,645,119,
538,389,704,675,629,388,833,383,861,780,783,348,826,844,167,298,520,188,552,
083,870,623,273,805,217,925,988,680,932,592,346,456,706,554,935,639,192,612,
784,362,088,651,525,985,396,678,780,287,992,487,151,183,057,932,650,792,666,
434,522,051,780,986,666,857,293,768,860,367,142,308,471,762,810,216,500,443,
954,057,920,477,673,689,967,184,115,514,123,069,709,566,577,406,976,354,372,
952,283,342,077,825,060,745,525,191,701,451,810,360,074,705,241,378,174,582,
278,531,018,799,383,783,245,464,132,929,885,031,697,366,267,489,073,295,591,
527,871,388,741,643,815,820,535,487,515,639,184,656,079,273,950,314,990,661,
776,483,735,237,125,656,615,529,045,794,661,514,114,023,793,966,177,905,674,
770,635,897,231,166,732,349,331,876,880,895,218,447,293,507,547,447,238,194,
077,325,483,430,566,829,129,285,883,738,681,068,062,779,738,343,481,199,710,
728,292,107,936,503,507,621,928,773,139,770,511,362,498,659,221,160,377,166,
755,891,311,328,604,946,853,331,503,109,814,950,645,137,081,389,084,492,365,
810,732,035,403,784,531,064,307,343,974,081,697,040,398,055,862,324,097,863,
169,009,353,509,493,773,643,826,886,249,919,110,781,622,134,918,995,485,448,
031,567,577,946,974,943,075,766,053,967,019,486,723,125,980,920,999,165,277,
022,348,881,200,471,384,189,966,529,682,916,933,867,720,879,861,602,154,825,
802,924,418,379,005,411,168,288,245,417,440,947,311,718,880,274,768,442,671,
216,381,981,382,635,076,816,835,286,750,354,103,648,405,315,585,128,992,424,
607,355,095,844,029,186,003,899,095,310,182,206,150,900,661,682,515,802,139,
541,402,327,675,561,815,532,594,953,196,167,186,373,521,287,554,578,203,565,
212,302,311,044,837,640,903,910,748,320,917,758,613,285,990,031,783,792,727,
283,836,410,415,494,873,860,913,809,681,450,164,967,133,779,346,653,686,899,
573,045,009,688,864,490,328,324,214,244,915,995,883,912,466,486,202,638,198,
049,220,325,602,476,325,484,089,066,078,393,507,756,596,499,169,612,261,459,
025,551,569,582,424,520,764,593,120,052,179,627,910,007,421,038,989,432,532,
352,053,438,370,420,205,478,416,881,484,422,260,488,359,196,530,099,081,056,
737,779,035,647,421,249,025,357,024,052,227,939,378,419,882,975,233,470,035,
764,245,905,216,828,464,481,169,395,956,856,014,476,427,476,276,877,699,336,
783,950,009,860,775,175,445,736,667,306,598,568,335,425,062,709,389,688,144,
469,657,785,805,208,953,072,398,076,448,909,024,832,076,298,359,864,517,996,
419,814,329,084,255,366,791,259,988,098,239,652,923,645,671,438,040,696,121,
592,354,288,209,709,302,357,479,355,370,112,720,484,085,557,226,793,338,372,
278,316,942,702,088,628,239,032,267,113,989,032,044,859,311,733,108,420,566,
066,542,830,665,034,355,985,556,125,147,118,597,284,440,595,701,649,627,311,
620,442,540,925,266,205,301,535,915,179,694,685,880,766,779,133,899,159,047,
308,557,496,736,661,457,860,467,796,915,528,368,170,848,707,820,951,390,463,
020,685,153,838,060,796,920,160,490,639,295,277,660,948,115,811,496,223,154,
418,462,353,055,004,356,000,328,398,015,970,257,019,312,207,901,311,006,435,
176,547,280,709,739,734,016,175,213,440,031,423,267,336,777,411,893,276,619,
786,880,017,626,511,523,851,421,185,338,663,702,464,946,555,337,895,074,776,
420,689,150,516,705,483,733,402,680,845,274,004,398,723,301,752,808,365,736,
709,809,139,829,609,474,125,377,533,289,511,347,328,876,737,020,315,872,232,
802,496,056,094,240,632,474,986,757,420,235,217,725,893,338,227,101,211,542,
309,957,787,536,991,224,807,307,137,816,816,939,313,650,083,138,166,572,306,
295,441,419,928,793,307,786,444,494,448,869,804,578,972,298,144,961,196,726,
812,624,448,015,815,061,358,333,900,249,724,312,554,653,298,223,986,606,614,
600,363,475,460,691,436,671,741,503,504,163,483,975,533,805,352,007,832,528,
266,143,658,841,948,100,339,441,223,148,227,096,597,780,204,709,694,747,811,
260,082,400,236,688,708,163,121,467,921,839,967,919,914,941,752,173,966,501,
046,419,420,851,997,797,368,023,236,529,610,987,500,284,831,302,836,903,819,
995,432,622,013,286,607,761,220,567,669,270,384,516,208,261,948,382,961,926,
668,378,563,680,887,242,296,767,145,063,718,552,268,007,618,524,058,049,559,
613,058,473,567,449,793,459,018,895,799,211,021,791,421,058,581,323,165,780,
262,732,510,725,871,879,744,638,939,555,540,685,229,753,475,569,084,425,858,
503,087,151,972,449,077,774,829,446,372,769,968,476,227,283,106,744,243,318,
131,804,925,425,816,965,222,867,893,554,740,994,908,285,628,712,652,037,053,
173,366,933,501,573,295,989,965,652,285,789,043,373,526,698,867,273,699,647,
678,439,370,939,252,745,498,855,983,375,268,389,060,482,187,252,240,281,188,
727,954,482,563,396,186,019,042,628,354,173,073,814,431,580,550,794,170,587,
660,175,761,186,991,891,185,565,422,957,688,431,338,870,162,126,057,572,331,
555,250,360,641,638,889,565,324,067,797,407,033,288,446,501,074,688,865,720,
651,875,695,809,554,960,652,166,075,114,560,609,575,138,408,637,812,310,617,
772,688,179,397,476,449,390,732,045,562,973,637,806,552,734,015,056,530,950,
782,220,304,199,789,018,604,957,944,320,517,125,065,856,997,514,733,257,422,
145,819,404,418,606,049,362,597,584,424,010,909,641,883,110,772,101,827,425,
176,910,912,539,729,999,543,269,319,070,061,358,499,199,601,602,769,911,491,
953,696,913,978,804,404,431,528,025,747,009,911,796,290,406,382,933,428,255,
418,756,630,389,431,511,486,265,798,624,625,865,601,319,364,561,867,038,446,
880,127,286,091,312,484,623,108,248,414,675,751,820,271,001,296,699,207,534,
484,246,173,584,115,380,941,907,979,946,219,757,271,817,632,116,736,213,382,
649,923,960,249,397,282,696,666,550,291,059,043,417,450,897,911,935,495,670,
481,930,639,935,550,183,804,798,389,011,733,041,758,069,333,209,831,742,942,
559,933,315,590,348,871,439,688,409,441,534,360,494,615,789,960,645,818,526,
633,094,935,917,055,069,185,191,062,093,866,909,183,631,388,402,002,281,642,
782,612,354,342,540,141,978,428,298,785,146,694,087,098,177,682,365,736,127,
437,810,152,465,058,493,677,545,178,850,413,817,785,236,809,097,407,318,443,
590,268,418,695,874,746,798,436,008,991,285,096,631,853,711,491,377,404,498,
393,242,065,655,510,446,937,397,108,546,792,912,017,470,093,906,565,238,709,
455,973,076,677,725,861,776,204,003,242,973,595,920,724,864,183,671,645,939,
098,461,102,507,431,082,075,626,076,968,117,412,686,698,671,057,895,852,543,
983,729,112,533,845,016,522,307,876,955,312,722,046,175,199,848,359,081,448,
880,368,603,745,876,852,600,322,354,580,393,839,261,473,775,395,295,755,939,
010,360,394,223,747,447,156,849,545,755,671,453,811,111,404,285,922,343,072,
605,132,266,238,245,784,304,459,891,575,463,766,480,270,181,074,177,556,092,
369,116,289,344,811,346,111,693,299,584,855,742,904,589,842,733,895,224,850,
369,228,821,680,968,770,079,575,345,594,735,639,868,419,699,328,212,623,165,
785,593,055,058,403,156,128,459,478,279,530,613,687,884,962,266,893,717,597,
893,392,135,231,450,457,665,453,262,015,188,812,754,063,843,675,790,732,063,
068,500,979,114,242,414,830,966,777,301,601,223,552,311,850,957,567,138,810,
658,875,785,830,355,786,095,945,950,951,275,915,283,308,613,183,722,842,520,
685,260,251,738,609,418,365,542,218,816,573,563,370,652,545,833,713,015,612,
814,582,396,775,673,986,840,634,887,175,232,745,607,515,669,344,212,969,669,
603,057,997,844,573,850,068,882,179,845,950,222,704,903,149,801,704,893,421,
831,415,780,713,467,341,625,878,513,849,744,131,558,906,614,031,261,990,497,
641,637,671,790,680,126,683,212,560,050,020,384,624,107,898,804,949,916,499,
829,076,661,172,415,471,672,035,934,883,004,849,288,728,726,407,192,831,772,
739,068,891,046,150,121,229,551,801,548,171,485,204,874,457,646,408,501,042,
935,792,041,047,044,183,743,851,353,638,938,169,759,684,342,887,232,808,272,
071,986,115,957,281,171,705,389,883,385,364,772,067,890,929,418,285,817,333,
856,978,648,879,749,534,444,158,395,636,792,498,330,355,205,903,875,429,631,
376,323,552,168,885,507,524,129,056,052,759,172,700,826,377,458,006,679,690,
385,514,112,407,623,339,290,681,020,793,188,927,760,799,009,053,249,703,573,
041,904,534,656,024,515,256,604,437,877,317,414,465,100,433,549,350,108,810,
441,566,039,061,349,913,466,928,591,215,271,171,937,926,533,221,118,525,759,
532,460,290,673,040,203,170,842,426,195,358,808,532,897,570,559,115,802,702,
969,992,214,305,166,483,254,707,562,904,302,261,940,241,581,148,373,869,928,
463,359,614,881,866,646,227,135,057,838,538,224,387,356,271,304,413,043,066,
341,820,052,403,955,282,342,778,530,474,829,222,148,654,765,410,206,202,453,
847,905,538,609,062,944,129,630,653,698,280,729,490,426,539,225,163,658,680,
328,597,720,617,618,989,367,449,325,274,562,676,258,259,221,088,027,704,528,
649,045,554,791,435,849,780,745,944,910,752,312,912,636,241,637,124,514,028,
228,828,970,460,658,449,042,564,752,831,143,937,344,562,833,166,237,242,588,
952,160,581,754,438,990,719,896,561,987,097,242,007,477,450,853,574,506,700,
134,472,631,743,832,566,844,173,113,692,365,164,729,629,701,831,633,643,779,
529,426,912,822,804,898,682,483,002,399,961,527,335,397,401,806,062,893,434,
923,889,056,868,574,406,199,662,222,583,957,273,163,481,267,124,433,140,072,
377,099,721,458,114,063,690,535,940,502,585,379,000,607,880,076,093,318,138,
013,979,388,740,818,634,770,220,827,364,679,485,407,092,000,099,291,951,491,
997,634,506,378,921,227,840,877,514,488,887,418,922,194,507,379,152,768,356,
174,158,421,961,181,892,510,706,464,345,346,577,562,534,748,732,218,980,768,
436,280,781,948,483,376,136,203,557,241,257,733,364,812,891,777,812,605,984,
344,841,186,396,941,086,611,821,900,564,941,208,476,071,243,321,326,770,193,
290,125,174,861,569,263,782,991,316,014,416,276,095,282,034,735,922,631,086,
034,249,473,063,779,480,045,427,729,623,999,178,453,090,000,683,781,125,537,
085,749,095,993,959,141,371,073,071,499,557,277,799,804,649,991,658,297,958,
103,096,679,261,683,688,901,788,430,876,887,844,290,321,663,801,308,275,271,
678,093,708,496,897,817,766,295,993,989,906,089,282,601,630,212,245,033,531,
675,082,232,811,021,684,875,507,305,843,386,088,652,392,546,959,296,284,043,
184,948,539,624,995,407,860,598,125,894,879,025,226,790,480,992,925,008,870,
914,501,895,593,435,287,743,972,225,046,944,177,834,170,272,734,996,299,943,
214,329,535,160,041,408,134,183,338,952,334,946,673,472,894,408,823,409,463,
072,908,272,829,884,293,214,721,545,651,185,368,732,511,612,506,062,728,972,
463,239,357,212,753,600,271,085,136,645,522,233,420,838,368,810,133,013,788,
861,450,237,154,263,498,842,535,294,592,786,352,614,239,275,091,001,232,102,
258,192,661,982,232,437,095,675,882,677,666,214,841,770,635,249,961,940,207,
661,103,100,396,660,283,661,531,350,882,693,509,888,967,263,368,675,762,973,
065,655,029,459,814,468,161,826,619,523,760,954,144,932,373,166,002,976,871,
476,288,317,481,658,958,204,582,527,101,098,211,369,745,153,864,058,134,112,
682,210,338,753,727,152,488,275,325,322,145,515,369,373,080,057,124,617,838,
227,854,386,870,565,148,459,520,231,264,063,225,867,981,650,145,622,360,636,
679,200,604,705,866,397,649,056,406,284,815,656,128,104,561,804,605,746,652,
368,316,009,705,000,581,873,151,050,908,965,754,875,543,566,175,021,508,504,
424,386,490,380,912,868,510,362,360,157,439,788,648,700,265,888,088,408,238,
362,915,434,090,149,341,820,653,764,220,654,070,645,267,969,470,806,734,847,
797,092,938,091,702,119,442,432,177,539,947,481,548,983,000,596,424,916,416,
935,239,076,721,336,884,118,612,351,278,211,228,174,491,646,610,793,678,401,
413,235,618,246,070,599,930,929,591,692,597,833,070,405,457,035,109,744,216,
530,440,295,815,228,781,216,352,773,918,571,774,421,260,080,198,285,718,143,
141,236,896,031,591,434,004,056,544,509,542,613,838,902,206,226,949,226,993,
334,233,378,530,688,173,859,210,273,244,546,509,975,034,522,527,543,943,582,
473,330,921,556,385,493,547,946,693,026,770,411,848,769,959,271,482,459,883,
415,986,870,603,785,858,556,973,966,227,688,139,339,710,775,896,936,717,993,
954,459,665,911,424,553,347,465,306,038,708,043,420,980,280,327,658,546,379,
514,620,084,221,838,751,012,218,847,459,130,164,131,558,982,799,004,333,351,
089,740,841,013,349,696,330,686,790,744,735,929,956,477,176,940,480,993,952,
163,078,196,182,470,573,381,645,872,978,594,051,422,380,134,093,002,948,809,
077,316,737,983,462,860,633,047,659,453,819,654,125,501,374,778,750,857,941,
905,245,503,924,420,508,489,902,651,955,987,934,122,177,749,666,217,266,583,
570,018,999,546,775,182,527,396,183,854,972,528,233,389,876,736,612,413,743,
290,022,654,397,286,978,430,094,317,373,704,542,916,902,482,017,996,206,688,
728,144,999,076,400,027,405,884,433,032,344,640,157,249,637,052,929,466,126,
537,643,437,392,400,819,196,817,709,256,226,024,604,219,076,176,234,825,074,
628,847,338,196,356,396,632,991,054,538,059,263,956,542,603,177,125,617,349,
877,624,224,835,325,832,828,735,544,890,883,755,265,368,301,885,447,594,538,
017,647,526,668,145,775,844,288,738,326,854,145,100,550,362,851,956,723,083,
212,048,532,144,486,966,631,581,743,054,313,217,301,701,044,242,250,455,171,
482,306,194,089,644,039,662,830,340,743,443,863,143,548,788,754,117,689,532,
468,481,905,659,595,255,991,615,458,355,984,940,152,683,723,206,652,073,446,
727,843,645,966,048,047,410,871,444,844,709,647,837,831,789,156,751,798,950,
590,515,695,790,489,516,379,604,711,384,192,719,851,461,584,558,557,474,920,
364,428,298,177,649,370,591,703,632,602,627,200,833,906,216,492,536,828,804,
897,114,653,774,570,137,657,279,654,707,984,873,792,290,880,881,540,363,388,
181,695,932,061,460,713,123,873,550,208,714,214,284,694,203,407,017,769,616,
707,746,846,484,980,680,559,639,767,102,383,588,716,048,575,019,840,969,156,
114,613,651,740,407,010,744,431,347,042,276,279,986,322,203,774,737,694,617,
102,686,520,776,864,281,035,324,939,648,603,746,546,574,206,578,301,411,072,
425,020,178,992,720,342,932,813,692,190,695,900,111,413,213,669,286,100,115,
752,516,060,708,708,601,628,045,457,569,657,556,756,921,211,390,832,806,654,
604,391,556,356,984,843,344,682,104,988,556,400,092,067,998,436,973,280,948,
199,220,088,771,085,156,033,001,967,420,980,331,961,360,881,083,864,138,509,
006,804,413,796,409,702,164,803,036,481,218,599,414,720,437,537,756,985,198,
401,043,793,360,459,215,096,790,133,431,065,456,007,090,796,330,097,710,592,
441,363,999,105,290,936,196,446,007,029,866,057,190,494,141,660,687,502,219,
324,269,991,610,582,469,613,692,973,981,445,342,250,732,207,596,579,865,068,
578,414,695,595,568,432,347,121,050,023,632,153,767,601,579,904,313,459,651,
702,069,957,881,458,652,425,296,008,822,638,245,935,694,590,734,686,806,749,
572,174,192,908,983,232,031,562,307,547,763,327,598,853,111,337,790,025,030,
876,499,577,424,993,752,819,546,575,699,128,787,186,771,598,870,226,718,601,
361,494,333,306,388,416,652,156,115,533,541,989,496,403,628,414,831,421,408,
586,359,447,983,485,483,409,190,456,271,162,353,004,385,396,257,100,034,769,
196,089,512,300,787,237,087,059,122,329,755,023,401,450,430,678,533,196,928,
536,013,454,395,099,110,984,291,101,100,131,005,778,034,493,591,496,997,897,
695,534,665,503,879,838,540,692,143,828,188,366,434,699,120,851,126,703,986,
716,001,859,788,340,057,776,374,386,519,903,465,556,568,098,325,447,197,067,
387,505,794,116,634,426,600,797,817,718,417,146,056,973,590,985,121,941,531,
739,546,261,148,797,984,630,983,315,168,876,493,660,778,809,036,434,119,801,
650,624,446,521,068,295,208,213,750,936,498,090,103,679,894,807,695,255,348,
619,505,119,420,760,105,587,120,025,795,304,774,111,939,661,011,271,100,464,
830,684,423,707,677,177,651,441,861,812,485,377,528,738,336,076,388,585,991,
226,786,377,362,493,932,504,728,065,937,975,355,632,434,717,899,942,442,091,
498,664,406,968,917,565,620,026,757,779,071,324,253,600,919,301,471,688,247,
806,514,912,642,189,468,744,593,694,074,623,896,672,154,823,661,103,443,371,
288,626,825,538,239,198,973,392,175,370,352,904,289,700,093,969,758,498,867,
086,406,762,630,643,326,315,297,679,055,810,075,232,007,072,824,124,268,400,
356,982,867,189,744,533,272,474,702,266,735,829,697,343,538,035,473,209,045,
465,085,962,407,236,435,078,714,266,795,643,060,666,098,598,793,959,860,178,
670,229,723,847,717,781,322,041,504,444,935,921,103,896,367,082,597,569,669,
992,550,773,881,244,470,426,714,998,077,049,522,422,214,886,319,217,290,082,
411,065,471,436,478,833,470,842,947,965,115,910,695,697,484,570,424,980,931,
209,540,286,310,445,001,214,105,116,155,346,469,197,532,069,147,884,715,157,
966,655,787,346,649,174,544,970,037,867,179,903,977,980,998,484,728,403,220,
202,860,515,718,644,500,435,576,698,963,684,323,502,667,504,537,985,745,987,
423,053,714,860,077,570,919,298,913,749,504,029,766,579,697,769,754,469,799,
526,291,451,650,443,827,479,101,191,659,648,525,735,449,941,342,203,548,188,
253,855,286,922,057,467,902,884,381,481,813,399,412,847,000,744,996,642,279,
663,618,936,880,203,474,391,778,701,613,268,197,137,308,503,645,892,734,629,
125,340,014,690,895,316,560,614,720,249,377,216,173,825,582,366,599,847,115,
849,966,295,917,149,960,289,119,813,226,426,191,979,328,543,725,952,799,316,
186,780,436,800,622,680,796,156,069,921,535,860,823,373,410,045,649,638,747,
253,403,254,328,293,200,977,876,911,104,179,833,267,449,239,344,429,056,307,
909,607,300,552,002,551,219,072,447,801,788,745,983,485,310,396,945,341,532,
277,609,318,947,996,436,462,825,825,351,047,784,738,958,536,417,809,519,359,
341,277,178,618,288,519,717,600,918,683,820,920,198,735,003,852,395,256,263,
183,421,583,341,862,387,116,929,704,191,034,960,967,422,329,031,463,970,135,
885,977,059,997,286,880,438,349,023,381,109,994,326,032,397,772,860,385,199,
410,173,410,281,907,253,734,309,354,638,123,225,335,593,533,930,554,386,264,
992,921,720,708,095,745,239,147,138,350,277,387,516,372,396,420,731,230,095,
352,601,646,352,406,559,019,415,978,093,260,319,388,396,265,916,185,860,770,
775,902,690,859,603,252,779,819,784,837,514,244,916,032,349,035,513,951,119,
499,211,000,091,080,061,099,759,396,880,555,213,822,854,835,615,680,281,858,
856,884,026,726,879,275,410,423,711,527,604,564,693,680,911,953,529,842,020,
627,852,011,735,834,085,963,056,966,094,489,861,881,267,498,745,253,191,848,
867,312,912,228,462,618,224,234,905,566,148,910,772,739,535,362,223,267,862,
652,412,713,587,583,114,708,069,176,882,429,187,630,300,412,271,567,572,776,
317,354,033,078,697,149,705,590,377,857,106,546,061,022,325,113,521,615,932,
222,075,597,736,381,174,176,334,898,581,145,231,846,791,596,706,604,134,691,
011,669,423,148,716,571,474,222,654,923,373,828,486,931,777,098,107,928,299,
563,897,123,911,457,616,506,618,161,018,899,424,694,196,336,953,385,510,468,
971,948,656,768,543,701,624,578,757,197,677,254,154,304,425,780,696,708,182,
188,267,832,512,526,969,907,507,105,941,137,799,182,472,790,538,524,563,443,
169,430,390,824,621,676,147,176,124,927,095,472,611,950,914,727,376,495,042,
839,622,397,852,713,443,311,732,800,533,608,757,780,747,688,785,132,914,257,
210,569,159,155,239,897,907,565,783,852,065,731,095,639,155,424,122,197,974,
036,284,646,437,717,382,103,281,868,167,004,367,097,389,596,245,914,376,587,
939,298,839,369,364,626,882,137,855,418,058,257,178,522,113,159,667,351,075,
358,070,105,191,522,922,446,521,830,558,402,828,496,638,773,293,151,689,943,
403,706,143,715,079,191,081,812,703,478,596,711,497,820,870,319,139,275,827,
326,184,136,980,265,137,536,593,388,833,765,640,737,641,741,903,207,577,279,
141,103,997,227,938,807,950,728,363,143,821,531,344,174,273,967,872,455,237,
206,809,386,190,080,524,761,101,210,983,036,987,803,952,075,478,909,241,854,
223,189,087,695,553,457,152,896,829,099,869,490,379,179,791,767,424,881,781,
796,612,119,526,652,737,413,071,480,810,059,128,546,194,919,803,401,384,933,
744,757,677,430,559,705,498,878,557,000,712,227,452,796,787,050,732,673,828,
970,327,030,066,496,401,700,625,296,604,409,169,783,401,795,804,195,190,318,
427,287,183,654,089,364,957,307,740,906,140,976,781,684,000,266,125,994,926,
580,921,894,588,843,587,415,373,751,784,677,992,459,691,476,083,119,661,986,
490,996,519,636,297,802,201,683,267,701,407,768,782,185,032,984,006,409,701,
006,041,768,244,048,026,450,319,196,308,589,935,310,554,118,664,682,383,371,
814,341,468,671,987,427,107,451,747,746,781,877,306,417,122,913,319,932,509,
382,183,559,708,637,749,434,098,386,329,615,271,623,371,879,719,058,594,165,
704,404,521,278,864,475,454,437,539,054,869,452,820,902,572,493,641,081,612,
986,619,814,736,347,901,299,531,078,854,817,222,111,271,760,522,008,141,810,
575,216,939,341,658,823,089,972,259,556,841,978,310,771,382,868,895,550,935,
291,450,477,576,036,810,585,288,317,934,044,219,145,846,757,314,950,606,238,
405,656,207,746,222,367,830,272,870,534,400,184,024,091,312,556,984,397,715,
161,920,782,590,937,605,890,089,685,332,011,320,225,448,732,110,454,132,639,
995,785,607,660,791,243,544,947,232,827,628,556,248,436,010,817,831,110,626,
925,496,458,545,581,728,311,472,327,383,151,672,707,931,415,899,550,986,925,
559,056,214,349,263,997,048,444,480,296,256,350,651,278,411,821,377,671,485,
813,428,838,663,680,702,109,498,160,150,141,122,488,533,536,916,171,032,035,
387,928,733,650,253,506,427,394,845,449,832,999,041,589,663,298,028,576,840,
614,604,617,755,717,431,139,429,046,613,533,137,074,260,856,390,022,322,359,
659,984,415,403,791,924,141,402,361,368,838,754,309,210,960,199,205,283,135,
431,224,002,868,215,743,065,739,463,950,711,234,834,231,568,452,754,317,433,
034,634,881,826,723,627,928,486,443,123,652,863,601,391,239,063,550,209,158,
679,213,480,879,670,159,307,418,290,897,864,324,132,179,247,051,107,836,030,
734,246,305,361,105,530,917,928,404,854,267,963,603,776,926,766,794,079,335,
113,445,206,114,569,141,154,034,913,344,430,264,183,148,751,105,516,098,710,
385,338,529,381,453,831,343,358,049,631,047,551,806,135,279,472,101,985,898,
399,921,794,621,818,786,668,415,566,495,234,683,349,890,177,960,356,613,259,
662,657,911,995,994,825,989,443,237,072,639,633,349,406,922,713,457,474,218,
788,762,598,460,161,923,574,773,025,185,973,091,033,325,885,678,236,451,280,
923,693,887,153,156,111,479,901,099,681,377,419,445,510,912,648,454,521,223,
418,787,623,359,082,282,098,374,062,041,413,322,428,496,222,259,760,884,072,
441,396,873,860,060,997,323,298,773,547,322,981,580,637,644,143,143,674,558,
387,450,034,581,558,816,883,669,841,500,196,679,831,842,327,174,252,154,377,
385,618,549,907,096,789,603,684,716,576,490,840,704,642,761,069,317,005,536,
859,085,877,155,645,056,476,668,327,626,185,868,470,094,684,925,697,411,388,
828,513,838,407,457,259,734,075,453,895,038,075,913,819,423,585,015,471,035,
033,815,667,321,684,650,044,049,135,570,916,036,878,849,698,759,267,099,747,
541,000,644,414,717,349,375,852,993,838,864,271,892,525,672,526,284,626,686,
280,706,956,162,633,548,666,495,955,215,430,917,891,606,789,891,537,906,555,
540,928,958,595,381,753,664,720,713,975,947,318,908,022,380,432,405,783,969,
721,596,528,248,081,146,804,677,621,024,977,937,646,332,939,523,155,004,469,
322,897,485,002,911,157,540,554,898,179,837,263,718,303,256,212,372,367,508,
245,063,536,998,983,647,435,491,842,412,177,052,915,484,393,849,446,627,389,
214,145,799,704,682,917,902,254,332,619,749,822,564,626,923,166,225,797,472,
745,685,187,885,880,974,065,520,862,346,860,853,796,333,803,551,477,702,017,
670,579,181,888,719,414,849,430,865,702,523,596,660,895,054,769,344,113,147,
743,524,199,878,036,765,535,415,995,009,840,192,680,281,932,836,035,589,424,
247,290,894,697,909,138,754,628,597,863,629,566,406,902,760,902,536,209,872,
987,118,693,373,106,100,652,739,685,779,153,632,484,885,157,034,749,932,225,
396,921,350,864,148,748,495,615,567,534,685,940,196,875,988,276,982,571,543,
027,732,139,123,930,442,014,315,788,960,875,704,209,430,457,503,933,969,619,
722,468,203,253,413,738,135,324,475,510,143,816,485,279,299,514,118,560,424,
877,133,256,012,063,111,141,184,087,627,222,349,701,127,919,578,529,236,823,
788,060,810,013,588,970,981,011,969,820,040,831,163,234,380,957,454,680,044,
788,487,352,880,567,609,249,376,148,559,768,778,000,624,656,156,341,637,911,
185,393,391,213,646,058,261,831,665,239,858,690,150,045,312,316,204,134,106,
604,835,549,589,069,412,410,213,185,533,139,817,395,924,899,840,816,895,726,
492,111,576,955,822,194,776,545,369,306,308,308,143,246,280,259,287,843,076,
041,221,523,491,482,977,436,542,807,350,634,443,043,895,752,099,069,810,957,
503,428,535,975,133,499,742,104,545,456,180,585,534,913,212,994,328,585,433,
517,554,284,088,675,559,724,445,236,929,215,478,005,795,015,768,814,426,182,
423,158,810,389,889,400,380,976,592,174,005,525,145,759,736,357,972,441,955,
096,966,713,556,246,526,964,475,272,883,235,831,732,990,082,788,007,727,464,
764,777,638,465,908,022,314,007,629,567,679,654,902,508,113,754,328,666,162,
141,058,500,355,289,802,071,567,564,729,027,762,980,915,376,055,193,882,525,
038,889,362,332,715,754,470,234,839,018,640,015,051,780,222,415,220,617,219,
059,966,599,858,259,396,212,724,402,616,847,403,814,282,221,158,371,574,099,
267,251,143,455,646,407,667,779,263,354,590,272,785,919,451,940,846,411,105,
244,639,251,201,084,316,464,923,102,899,431,310,847,499,835,019,883,912,437,
538,757,028,724,958,394,744,812,878,013,107,521,786,405,447,246,447,681,271,
959,918,502,262,064,572,887,426,366,639,068,680,598,813,392,697,706,938,423,
604,252,294,506,228,767,210,490,520,885,821,703,948,898,122,066,699,097,830,
875,260,370,123,759,698,689,696,693,610,886,512,638,361,495,609,035,013,686,
782,285,524,024,682,888,195,239,085,286,058,092,695,625,084,403,583,085,121,
833,424,418,437,799,248,452,757,557,295,274,089,311,361,718,920,754,613,146,
438,248,956,181,541,215,084,482,633,953,558,821,714,734,145,705,488,980,428,
264,959,068,148,751,779,298,724,009,381,571,913,779,960,234,773,912,639,973,
276,683,650,143,153,071,505,310,098,264,268,138,713,189,678,939,531,156,243,
487,445,267,781,532,413,184,258,704,248,135,832,737,051,071,886,102,079,675,
034,651,227,834,496,996,460,470,502,709,787,574,348,225,527,081,853,909,143,
771,944,440,967,628,599,872,400,960,051,194,401,109,557,035,728,075,368,974,
375,952,024,566,245,691,863,351,944,323,083,885,442,071,418,142,849,208,266,
194,688,870,388,400,457,116,101,843,271,518,653,708,578,911,518,822,407,298,
742,124,628,767,340,331,978,174,038,255,994,070,307,802,787,993,585,626,005,
253,632,343,257,570,082,422,688,766,405,888,791,177,692,099,746,925,560,186,
362,255,841,326,482,476,672,932,330,465,447,735,612,924,536,241,268,514,455,
441,048,958,250,326,922,590,474,607,374,697,257,493,803,943,353,738,216,966,
182,388,911,241,198,535,381,681,926,234,064,869,137,949,763,001,110,055,535,
639,907,959,307,865,728,101,817,910,460,892,206,718,330,592,942,539,647,790,
017,565,094,728,046,247,066,666,349,485,941,473,952,639,705,578,537,042,064,
102,869,268,085,105,030,998,515,301,492,907,886,727,378,382,421,781,841,202,
585,051,985,507,001,001,090,076,923,184,004,270,542,460,858,737,810,164,047,
295,989,859,543,468,495,373,680,623,396,442,208,604,955,086,242,762,681,172,
047,502,335,553,359,714,342,515,153,229,650,054,150,817,102,022,275,056,371,
538,037,179,945,490,020,126,744,808,242,192,323,763,194,745,200,882,513,396,
069,693,605,651,971,235,805,217,520,576,273,320,429,725,502,076,288,587,732,
514,255,542,021,981,565,330,709,706,378,800,286,009,222,554,923,536,479,043,
813,503,067,893,811,022,122,327,764,833,544,857,917,925,728,252,176,790,165,
930,619,639,479,888,951,579,705,826,265,938,971,082,930,495,232,222,503,535,
687,849,772,689,982,905,720,509,941,290,418,233,302,000,348,720,472,008,969,
249,392,041,173,947,671,852,921,510,131,367,272,707,687,453,120,406,801,211,
997,870,718,300,611,839,964,106,243,649,956,500,501,419,288,877,915,136,768,
843,665,887,211,827,717,540,978,648,409,305,397,129,348,935,401,697,328,303,
993,481,313,740,100,422,187,607,606,491,799,150,001,849,865,762,372,670,450,
743,704,269,232,949,027,028,841,114,202,000,495,126,357,065,667,694,674,223,
286,990,557,486,124,381,510,993,856,233,429,347,969,778,092,979,911,642,856,
455,222,106,045,453,459,718,766,576,627,285,169,101,055,728,024,983,511,610,
719,290,661,213,223,053,924,832,179,045,695,627,215,907,383,067,633,170,571,
893,852,703,971,347,107,992,905,511,421,337,617,535,344,222,410,064,827,619,
361,198,350,831,224,483,315,766,943,469,021,312,622,350,253,803,249,042,754,
686,045,746,189,692,735,674,362,471,491,436,342,414,173,641,041,991,706,445,
920,264,902,145,650,195,145,807,153,435,846,634,901,638,037,716,793,823,486,
011,012,144,836,337,488,508,799,971,478,116,969,396,465,621,879,941,105,014,
007,139,386,602,698,177,169,162,752,173,838,925,619,401,851,237,123,050,087,
413,547,434,118,307,036,629,673,106,733,024,061,852,168,410,701,160,079,408,
942,424,344,582,629,408,538,499,908,724,963,018,803,049,714,229,468,479,897,
385,540,228,031,481,003,168,239,339,027,245,932,151,224,570,299,396,575,421,
013,875,708,660,400,440,514,940,763,202,996,156,107,428,150,841,300,116,615,
256,513,212,258,999,398,596,525,971,371,001,714,083,271,033,591,872,826,629,
722,519,574,829,373,189,497,892,042,811,541,559,573,033,991,338,108,127,131,
991,005,181,153,174,093,556,636,360,194,031,544,947,576,592,188,571,694,362,
270,103,805,026,350,962,793,077,706,297,201,769,596,783,326,243,156,733,485,
498,339,864,748,756,929,194,641,197,257,601,473,706,687,865,309,004,130,227,
332,313,543,978,200,445,856,563,051,560,889,520,270,423,539,226,936,025,159,
252,412,702,932,917,861,262,886,826,723,947,655,969,461,798,300,802,107,156,
875,107,255,115,687,004,562,885,888,621,408,079,921,152,411,451,478,894,917,
467,288,759,291,422,343,504,217,983,579,487,404,969,509,268,519,895,367,331,
429,034,113,629,905,103,807,553,099,127,273,218,242,295,346,756,709,373,412,
925,628,798,092,537,358,441,570,310,342,165,714,067,138,988,391,447,876,406,
933,133,902,207,239,362,036,600,600,206,321,612,632,260,461,877,208,844,340,
839,947,037,889,157,388,939,545,309,458,578,102,769,370,017,488,752,671,494,
514,849,799,831,637,756,787,923,554,575,259,848,509,074,752,984,381,738,904,
200,789,038,174,045,265,544,451,235,896,612,456,837,229,253,477,530,981,720,
444,171,862,029,869,777,426,142,344,456,488,652,909,300,041,758,618,835,322,
665,114,592,755,181,805,089,344,368,387,414,403,598,260,909,898,768,724,430,
108,697,172,288,318,107,520,433,307,538,459,475,144,064,117,559,217,235,969,
015,847,155,083,098,818,885,012,042,811,391,655,238,283,043,593,839,017,379,
117,763,653,510,554,645,396,129,778,474,401,377,120,955,960,678,478,888,853,
292,679,558,959,672,744,418,744,033,818,492,829,356,324,221,880,998,906,098,
182,431,320,058,412,899,036,981,746,426,889,376,133,416,628,995,450,291,291,
233,531,794,425,817,491,510,386,943,766,103,811,274,914,431,546,407,834,671,
096,130,363,416,396,338,402,217,203,031,700,349,620,945,026,594,751,934,988,
084,161,926,026,296,218,257,210,446,797,589,500,682,884,926,859,649,867,052,
195,666,057,239,269,076,530,468,479,270,567,508,399,712,974,079,517,489,096,
500,206,106,333,510,316,505,044,504,879,352,749,514,806,962,353,543,560,811,
380,316,021,740,655,406,175,299,747,973,506,364,165,292,680,712,623,058,243,
262,384,116,848,243,898,122,956,077,966,704,601,714,052,701,209,725,526,706,
311,256,436,616,341,552,487,740,291,722,446,300,208,590,457,556,975,715,744,
621,231,471,446,993,449,911,169,381,168,836,456,574,485,551,899,865,465,699,
893,184,476,744,220,054,089,243,195,198,282,814,209,811,135,843,887,040,264,
076,740,657,043,711,617,252,834,832,484,408,229,263,346,286,408,124,644,440,
306,360,160,596,701,787,818,723,302,383,319,440,657,749,608,065,452,382,979,
507,288,455,696,769,764,097,076,489,277,871,065,471,946,571,029,342,117,508,
854,666,424,795,942,489,528,575,158,836,593,373,535,277,902,947,315,212,179,
831,167,902,287,535,671,040,105,778,377,732,966,151,575,943,107,639,670,390,
716,049,880,021,131,241,640,884,903,474,403,884,660,698,928,976,482,097,869,
075,773,609,728,155,909,088,895,091,249,884,138,077,130,738,132,612,160,798,
771,082,151,315,942,465,586,066,323,872,820,626,373,667,670,946,259,770,610,
925,095,046,520,116,094,297,209,221,988,096,826,615,731,564,654,595,325,707,
410,292,545,194,846,090,005,388,265,496,941,965,853,023,803,648,743,700,099,
112,176,860,585,644,682,385,727,912,988,563,216,521,684,554,994,917,959,934,
754,668,121,258,363,927,248,600,052,822,025,689,192,958,778,560,545,468,257,
046,788,875,415,058,432,954,324,739,687,503,466,161,771,143,007,817,884,142,
068,122,458,852,898,583,737,989,982,106,871,026,171,466,138,323,054,675,458,
568,103,721,329,248,104,982,894,931,238,098,657,543,506,641,625,039,757,040,
185,437,749,337,720,370,849,533,453,913,089,719,505,202,925,923,184,304,770,
939,453,157,393,717,927,834,084,996,760,751,193,117,688,100,062,000,726,970,
003,044,573,835,341,836,890,046,311,181,469,701,328,001,105,620,717,870,860,
640,341,134,008,062,049,055,787,005,759,333,035,331,585,433,633,202,655,580,
006,533,958,709,489,296,570,342,384,404,535,842,195,055,784,702,540,632,890,
111,723,824,133,140,269,928,879,875,258,586,570,390,327,219,891,041,571,022,
599,969,682,398,981,821,984,880,019,264,199,101,169,543,354,562,184,393,449,
810,655,150,265,154,598,073,760,314,999,707,684,035,897,034,740,450,227,997,
124,193,779,414,770,620,161,702,850,743,528,771,402,425,011,382,942,911,754,
925,647,145,470,515,983,088,102,883,019,685,551,818,140,154,089,275,674,210,
686,194,608,786,204,496,034,787,100,301,393,677,454,041,232,169,282,155,564,
714,539,854,163,856,012,205,906,774,585,850,230,962,093,400,474,873,171,443,
083,620,087,038,165,804,645,205,357,203,542,572,990,917,183,621,822,149,735,
740,553,394,749,233,165,680,761,037,234,147,945,951,205,430,605,859,287,894,
000,570,765,633,363,557,775,293,859,068,624,379,359,782,420,904,282,116,691,
137,156,517,238,475,991,597,018,700,540,901,381,519,881,618,116,047,815,211,
284,240,820,527,432,570,461,496,631,995,780,815,003,256,054,712,991,878,329,
868,421,546,214,946,320,927,535,243,754,831,326,764,735,492,570,483,343,316,
734,456,585,069,681,543,185,748,646,237,411,939,852,469,505,354,471,497,943,
982,043,260,423,761,031,356,958,845,976,600,263,845,163,967,314,935,615,079,
948,617,428,991,276,287,209,277,544,793,043,032,333,200,121,837,766,345,731,
942,811,342,878,722,080,749,671,021,426,403,868,536,732,445,894,682,685,340,
763,528,191,709,582,056,948,883,858,078,016,085,058,837,588,560,897,362,642,
313,503,871,164,683,561,779,411,186,066,807,499,701,929,082,418,583,930,098,
500,438,566,393,799,827,089,896,147,287,463,937,049,967,557,072,557,641,894,
798,523,636,823,684,366,161,269,174,413,051,041,042,865,447,480,443,092,715,
374,415,378,335,532,973,672,140,017,921,000,880,960,552,861,767,509,865,656,
289,737,367,812,261,574,354,327,229,756,854,300,564,320,131,981,751,989,945,
153,828,085,860,962,185,428,656,188,294,762,437,022,393,204,248,428,646,677,
613,940,257,651,062,302,449,816,018,213,712,382,106,256,447,042,111,495,917,
418,978,873,753,574,515,738,926,987,267,071,975,673,349,511,685,683,949,686,
387,149,826,120,306,691,853,699,568,096,128,432,995,669,242,657,193,352,846,
852,568,123,029,088,270,479,913,562,395,614,908,847,367,019,350,863,352,981,
814,077,984,035,719,084,459,837,938,602,340,568,015,030,423,886,497,868,151,
661,608,161,650,533,893,469,449,869,476,222,178,100,209,468,142,048,882,006,
995,189,629,786,889,782,405,856,167,418,687,489,098,000,445,946,688,997,317,
447,224,234,710,125,564,599,510,666,309,655,274,570,645,592,315,485,302,020,
652,959,559,116,156,780,100,128,609,702,784,549,415,912,884,980,728,010,802,
719,672,594,209,798,343,293,819,848,077,520,357,436,877,766,541,472,246,070,
536,658,716,741,051,153,719,758,196,450,871,592,817,849,019,907,465,881,485,
992,339,774,219,149,148,889,942,008,499,926,845,152,814,590,090,837,191,397,
797,871,883,563,458,781,361,577,825,320,166,754,893,114,515,385,174,931,076,
521,988,210,959,541,402,751,797,403,335,047,639,089,383,424,845,989,148,673,
898,299,722,589,620,612,558,647,424,655,777,967,627,946,195,933,489,979,247,
593,797,223,061,816,746,367,163,761,047,068,906,219,314,192,572,455,653,740,
822,416,322,820,311,304,605,214,089,822,332,136,741,432,016,430,190,995,328,
979,782,106,235,550,035,536,170,395,358,322,559,282,760,319,714,089,132,788,
677,774,797,659,752,580,706,020,534,804,107,119,162,137,829,780,768,798,425,
686,118,166,828,609,237,972,478,025,340,229,016,584,772,669,206,688,939,220,
608,342,757,276,253,763,787,011,248,384,580,268,451,003,467,614,188,404,986,
025,092,018,250,513,056,823,444,938,662,794,780,177,433,092,759,509,108,103,
882,788,209,963,008,876,918,997,169,920,785,929,059,247,646,623,773,114,812,
814,859,043,920,954,915,876,453,870,414,650,133,169,924,832,587,891,585,916,
089,106,864,023,812,508,967,192,656,813,597,428,010,744,279,294,410,965,737,
433,649,195,527,807,623,863,850,188,246,900,683,521,439,390,269,187,102,311,
158,403,955,933,199,197,766,943,960,269,131,045,609,881,855,332,155,098,389,
674,117,275,601,852,862,378,826,999,802,497,134,657,736,411,977,373,205,448,
277,110,056,655,333,024,674,200,056,629,447,414,435,658,856,995,056,828,378,
566,718,945,095,104,531,625,881,989,769,889,556,464,007,803,436,456,891,163,
850,736,729,034,336,169,697,024,916,171,521,509,004,338,453,753,743,257,890,
079,138,945,835,797,573,076,384,653,888,393,185,196,380,635,884,499,765,639,
912,153,441,563,900,067,923,568,809,149,271,480,044,510,299,598,918,043,550,
586,237,652,807,886,864,999,678,637,375,653,034,177,879,425,788,489,027,084,
432,339,138,462,365,878,940,128,210,049,134,082,160,373,240,775,988,549,539,
638,023,539,506,465,285,107,193,859,998,045,521,086,057,866,695,994,420,059,
353,916,001,911,860,607,155,642,599,627,356,328,251,389,152,309,823,747,083,
825,115,337,589,161,809,488,972,194,975,272,801,865,810,976,422,549,763,475,
475,992,294,421,504,411,913,048,497,652,452,527,604,038,767,516,149,616,291,
035,222,992,628,815,124,433,204,369,302,337,643,457,794,320,337,303,828,230,
433,659,358,282,293,860,381,923,480,709,297,259,698,854,008,293,459,149,726,
905,293,736,501,070,212,868,166,592,388,183,703,940,150,193,635,724,841,744,
200,307,380,374,469,826,590,512,689,343,421,108,182,457,534,880,383,885,434,
429,951,644,838,773,259,895,317,503,062,589,460,339,518,099,687,584,462,090,
913,506,807,196,667,851,844,195,762,810,838,434,910,691,276,227,898,661,377,
148,044,850,909,816,871,158,001,221,697,081,696,574,562,781,908,636,244,594,
005,064,218,843,694,753,724,294,081,773,182,873,458,243,884,566,052,227,992,
564,998,036,250,782,404,236,825,605,328,417,173,754,215,854,282,655,319,070,
952,480,296,696,308,103,807,090,371,299,503,409,354,285,300,826,198,159,563,
100,188,639,551,421,541,050,484,187,454,104,116,543,882,483,287,686,311,241,
940,908,072,894,683,790,725,081,858,155,290,396,931,856,997,156,797,076,182,
920,385,010,003,403,273,532,416,381,637,623,241,918,013,492,442,818,446,551,
665,301,643,522,948,666,787,236,197,805,658,737,326,685,518,567,744,535,903,
458,548,251,601,835,724,983,972,744,485,330,984,681,562,353,543,796,625,947,
751,558,891,994,230,025,463,176,024,922,652,205,259,374,048,212,748,388,879,
677,292,675,406,204,295,141,095,848,021,032,441,067,152,824,828,656,503,355,
767,416,250,663,091,550,263,928,735,237,404,325,063,849,094,546,843,769,969,
944,715,706,752,857,807,524,875,513,928,910,832,590,906,395,543,501,604,909,
425,371,407,145,506,575,808,054,051,816,491,656,112,954,417,528,350,704,144,
658,676,047,677,512,591,946,148,205,645,694,129,130,317,389,075,685,579,274,
329,506,964,202,763,786,573,157,330,801,481,213,888,145,133,141,286,843,287,
208,830,931,165,743,038,806,510,360,041,548,256,875,267,692,873,440,822,913,
529,091,757,045,404,452,180,467,313,185,744,051,846,329,795,549,654,311,323,
613,813,616,348,964,031,284,542,006,633,251,197,471,207,318,165,960,837,510,
712,827,878,944,919,817,606,135,688,788,057,351,753,731,268,100,208,076,829,
017,736,892,634,529,059,107,224,491,920,808,725,804,551,586,454,600,552,364,
024,476,588,421,198,454,322,069,102,160,949,084,597,052,185,351,929,651,355,
370,081,398,678,455,708,096,323,695,945,987,097,394,968,970,926,933,429,588,
722,242,161,152,618,019,684,876,679,956,931,632,354,355,365,727,679,422,030,
296,747,659,168,158,778,851,468,068,369,954,695,615,610,840,957,892,933,065,
976,165,286,288,860,667,445,579,563,474,164,951,528,197,038,295,893,884,781,
332,575,653,933,519,392,477,713,732,530,957,111,468,181,927,974,491,716,574,
153,291,640,958,890,306,570,218,643,329,053,720,775,044,012,919,983,503,116,
118,937,956,745,130,214,253,801,235,956,145,923,145,631,978,405,076,216,542,
431,852,038,859,485,265,304,399,255,877,183,451,290,541,792,556,450,334,027,
147,701,425,096,021,664,130,961,421,845,990,490,761,902,640,174,468,788,020,
026,610,927,593,546,412,675,688,390,792,811,716,872,603,393,401,948,165,909,
573,567,362,856,187,963,458,885,132,563,795,818,714,706,422,697,125,370,803,
292,629,554,652,217,792,159,015,054,580,255,039,708,521,083,471,465,082,926,
090,359,122,049,852,417,238,886,267,480,152,879,200,916,672,368,661,259,281,
671,214,004,513,893,611,963,475,259,753,441,262,101,264,462,156,317,855,805,
902,387,550,878,361,212,308,908,938,074,376,747,160,253,274,196,266,138,378,
637,164,615,588,041,633,299,970,446,191,269,416,936,354,688,310,257,264,972,
328,572,905,338,627,432,326,196,611,532,981,591,293,162,125,524,766,588,193,
950,739,324,557,718,877,024,907,061,402,735,123,105,898,415,407,202,598,214,
796,520,987,699,326,781,319,141,779,908,873,414,964,818,275,311,143,268,124,
882,848,767,720,338,845,706,345,224,851,307,922,883,605,470,535,343,348,692,
642,868,310,855,432,574,501,439,856,591,238,380,901,750,290,014,911,758,385,
537,596,015,337,828,120,713,104,164,464,367,704,664,474,461,315,938,602,658,
484,216,958,474,491,584,482,633,208,582,972,266,730,521,962,514,304,035,161,
319,193,506,102,250,802,665,863,772,999,408,247,871,158,443,812,240,318,494,
344,066,544,758,649,584,235,014,742,703,131,810,836,890,164,780,004,775,079,
722,133,397,516,312,669,442,488,353,219,184,144,481,430,272,279,993,820,134,
466,028,776,771,046,321,068,470,502,905,072,518,892,887,031,769,873,225,215,
544,046,054,673,043,457,206,966,116,707,833,717,519,067,410,512,830,540,480,
991,735,397,938,042,945,115,005,515,418,109,018,057,353,590,267,664,968,456,
052,395,519,269,675,114,227,548,330,477,207,546,526,457,565,054,291,523,847,
482,285,090,216,080,616,463,676,581,269,609,432,977,015,454,880,855,752,535,
512,024,612,103,936,472,050,426,905,407,207,499,502,381,533,040,067,710,700,
595,788,918,197,854,283,888,988,488,975,163,355,862,370,708,804,553,861,424,
984,922,461,096,939,471,903,303,537,545,353,009,389,844,247,052,332,467,777,
937,123,114,515,146,742,670,972,081,425,280,008,322,842,035,960,707,504,960,
982,606,853,788,174,344,318,433,000,679,353,708,135,069,380,545,108,566,760,
843,318,506,414,920,960,765,191,194,493,735,373,190,092,352,344,135,049,352,
132,716,008,061,610,902,176,027,152,865,326,231,688,934,686,873,366,704,547,
329,317,131,228,724,274,797,833,690,556,060,284,065,021,995,884,475,273,511,
410,605,741,024,328,971,488,428,792,328,165,920,780,083,924,274,948,185,999,
947,670,162,830,881,839,091,082,303,714,780,171,496,202,560,568,519,947,513,
011,565,593,789,210,220,159,576,214,860,225,996,304,747,640,612,941,687,002,
489,389,624,237,110,731,375,327,635,728,419,579,682,453,600,156,114,199,330,
554,041,808,493,403,093,657,737,498,041,051,000,564,168,378,099,422,066,945,
686,693,430,148,172,408,699,173,644,311,111,342,380,126,589,769,269,105,272,
558,603,536,955,097,059,199,864,184,156,638,492,398,640,786,473,853,754,215,
337,326,936,248,674,523,879,804,606,279,599,563,274,003,305,184,893,185,998,
718,539,890,339,385,473,135,561,870,975,134,338,522,944,396,378,094,875,329,
413,892,380,337,085,079,563,340,382,031,183,228,005,072,993,881,802,570,493,
721,185,974,522,948,063,422,649,684,392,126,176,117,368,456,060,238,169,508,
210,055,415,633,397,119,960,116,067,380,910,156,335,362,147,961,270,922,478,
042,707,744,909,388,570,921,298,819,744,860,960,625,051,210,007,275,473,637,
041,084,009,041,535,148,317,135,522,417,349,758,125,284,183,324,338,525,204,
006,530,756,526,270,860,815,636,763,150,427,544,772,415,677,654,628,760,045,
366,000,196,981,306,894,448,630,723,015,943,133,511,457,164,964,947,709,370,
233,252,690,013,607,921,473,125,521,296,877,397,417,357,376,732,038,572,979,
453,115,219,413,555,859,299,679,947,281,323,781,986,683,376,684,001,996,343,
505,411,899,037,190,419,154,417,744,640,508,807,103,486,138,563,150,017,424,
088,725,315,017,447,684,478,277,691,603,221,216,097,071,229,646,300,814,519,
242,911,547,693,736,440,577,645,156,512,959,683,310,651,853,200,742,180,242,
805,298,013,226,715,247,821,239,020,645,789,545,217,323,653,738,837,398,222,
403,850,929,625,145,421,168,241,639,118,154,467,840,243,397,464,063,986,399,
119,446,544,980,407,819,579,772,959,284,770,536,645,182,910,772,791,667,694,
615,237,021,246,312,600,437,482,484,384,890,987,711,615,547,894,751,779,941,
341,121,653,880,262,115,229,328,915,800,073,224,690,302,889,709,394,557,304,
712,459,197,449,741,535,507,568,583,582,246,563,331,569,986,406,638,514,912,
018,111,938,320,290,431,406,286,578,989,897,161,476,778,300,533,992,289,851,
479,748,969,955,201,052,094,871,877,116,254,551,944,786,453,300,896,171,742,
135,409,483,585,130,154,079,663,865,157,309,651,682,971,890,562,193,700,245,
522,820,827,335,111,785,536,569,563,119,754,901,869,597,465,056,710,565,852,
741,726,841,158,195,213,081,769,947,455,269,290,134,700,882,880,281,088,590,
931,030,770,720,828,393,980,684,176,962,861,548,946,629,139,224,594,594,267,
636,737,815,692,958,568,119,332,071,664,414,100,468,936,731,347,307,369,487,
137,723,451,952,213,630,859,467,958,659,353,247,489,828,005,376,572,416,883,
578,236,258,858,374,586,687,297,538,559,984,829,224,807,580,549,414,093,441,
916,337,689,203,405,695,399,523,272,035,968,287,794,731,307,672,615,757,361,
810,492,015,007,476,703,567,257,328,877,551,371,145,843,478,334,640,926,442,
116,751,538,974,923,180,811,048,647,264,150,683,137,373,246,349,936,956,466,
967,569,376,688,086,878,262,016,102,370,205,956,626,420,371,546,770,864,687,
456,575,708,746,409,367,443,325,480,995,680,055,485,575,212,245,082,835,737,
816,856,411,105,616,899,711,772,475,745,951,483,691,327,913,130,400,119,581,
161,713,023,864,164,076,572,457,872,829,480,628,799,859,463,208,168,908,973,
336,069,146,126,553,302,184,399,860,716,779,622,754,082,013,980,255,674,399,
991,562,571,792,807,511,876,301,144,698,603,745,137,997,560,828,202,534,221,
041,383,320,317,678,284,151,174,417,209,505,094,122,434,275,790,604,073,830,
723,816,658,593,258,899,517,117,686,176,753,860,640,072,897,604,859,954,697,
465,744,285,637,684,378,197,072,724,359,888,580,844,252,632,859,309,320,099,
117,329,075,453,551,594,947,395,077,568,272,597,996,193,215,598,485,818,147,
331,303,943,132,953,181,534,485,548,175,265,651,752,875,486,861,159,211,089,
449,024,308,566,850,097,346,057,248,426,554,256,721,117,060,814,012,675,466,
470,098,172,020,980,191,680,973,123,243,061,704,482,329,182,563,196,673,289,
173,962,765,427,036,718,373,581,895,804,173,294,508,825,674,613,132,478,684,
667,713,203,693,655,541,763,750,887,328,479,581,380,390,765,587,836,989,861,
000,281,851,546,308,041,478,536,161,961,673,711,927,841,124,760,782,107,725,
156,004,432,722,764,369,973,250,496,639,850,180,467,681,084,243,862,179,856,
025,867,115,906,870,329,464,147,780,809,395,790,139,255,634,818,592,366,530,
200,754,596,519,325,843,854,171,130,069,005,107,518,667,178,889,133,024,632,
630,936,468,102,635,855,371,093,011,637,954,594,052,907,027,242,890,822,845,
625,536,225,046,278,824,243,294,437,723,346,918,157,325,600,356,728,196,753,
953,191,145,786,387,270,718,039,976,706,514,801,030,720,201,477,598,553,906,
513,342,578,079,979,931,277,299,236,885,674,786,779,547,901,422,990,417,369,
593,702,697,184,779,521,650,967,838,166,852,497,101,497,314,943,191,974,279,
293,777,543,301,522,978,814,931,675,358,717,666,939,515,901,785,316,423,976,
280,441,018,888,590,623,986,773,944,015,084,878,663,707,698,095,777,274,350,
327,952,029,111,016,635,993,105,549,793,344,185,703,848,673,575,851,693,330,
312,013,585,786,625,388,912,933,870,665,238,559,224,633,629,445,097,402,513,
442,289,360,154,180,713,747,083,081,412,869,025,231,519,107,484,467,643,561,
224,036,406,055,605,349,733,262,216,795,217,347,302,418,988,005,621,969,610,
688,699,767,967,409,818,724,708,242,047,161,584,199,255,599,179,843,005,071,
862,710,655,425,621,060,406,518,929,581,245,778,135,806,373,684,524,939,762,
297,224,907,731,343,390,186,020,264,021,530,702,750,903,153,228,024,231,553,
374,296,287,717,084,489,289,064,994,727,901,038,265,881,775,727,617,316,825,
430,887,745,033,913,645,108,852,728,226,939,754,805,110,718,208,554,731,188,
317,697,382,635,289,704,594,196,417,039,710,552,816,756,989,949,592,740,089,
755,106,815,025,706,757,681,579,059,272,763,295,175,974,080,321,367,334,294,
080,906,393,659,389,816,683,783,889,472,698,637,000,207,392,574,882,328,519,
816,162,137,224,635,661,362,291,740,253,827,367,566,292,860,468,971,155,080,
440,517,619,267,503,324,448,502,909,049,060,287,747,712,532,691,255,873,268,
534,667,647,505,991,259,443,939,975,475,980,958,607,262,778,692,136,756,661,
937,093,508,033,001,626,917,363,932,513,416,249,655,909,361,290,565,899,049,
185,800,832,989,977,966,027,113,928,917,896,408,189,737,265,169,116,527,615,
526,473,778,580,731,089,092,747,842,872,018,672,365,359,549,214,068,409,218,
202,549,459,602,411,077,568,857,317,779,587,404,326,002,894,494,751,074,965,
428,187,135,677,936,444,710,786,503,243,107,322,104,609,633,367,865,223,032,
869,134,402,119,215,205,952,144,514,993,814,868,330,093,902,392,175,068,467,
625,665,655,581,856,188,874,185,323,361,526,113,663,164,764,746,680,748,768,
945,226,796,443,293,868,439,253,534,165,689,895,850,601,118,697,877,030,639,
814,186,768,323,921,471,851,600,269,944,877,518,588,305,575,337,354,513,304,
269,496,521,681,614,755,451,559,943,314,025,416,127,633,567,357,787,317,805,
331,321,666,158,549,398,692,014,623,780,134,406,798,428,214,716,450,146,459,
973,596,191,768,190,288,611,075,021,830,503,421,508,783,457,509,152,341,797,
963,120,516,582,717,117,404,661,399,597,385,752,704,784,191,912,391,746,602,
101,243,571,751,224,071,754,820,123,770,047,656,682,243,510,865,602,990,311,
141,901,317,052,549,528,366,268,924,966,486,205,224,013,338,204,529,371,896,
787,880,143,547,045,310,664,608,918,727,296,244,652,878,312,044,212,704,050,
841,592,459,958,924,269,215,232,474,948,872,834,435,462,021,477,121,974,294,
860,234,663,890,904,142,316,834,141,334,923,287,676,982,181,599,834,078,005,
209,716,723,677,987,269,849,922,512,381,327,742,015,995,593,666,029,140,940,
890,018,393,883,575,005,603,747,748,105,292,980,018,272,097,321,629,858,538,
934,117,491,781,477,662,582,949,093,063,383,050,458,424,931,866,399,318,866,
444,193,008,305,432,256,428,503,216,389,543,243,219,510,679,920,621,583,401,
493,502,890,465,109,775,399,904,283,965,062,610,361,044,846,036,862,457,641,
305,615,160,836,621,152,408,999,610,510,297,951,937,281,607,192,143,895,716,
226,100,931,681,490,402,702,176,213,865,356,728,406,329,011,093,550,570,872,
709,599,364,155,967,204,029,912,036,867,661,883,979,316,000,874,527,610,941,
254,317,316,881,679,144,389,768,754,571,982,748,519,986,467,462,827,685,013,
056,442,473,593,261,347,567,733,330,669,791,470,792,106,826,391,190,204,238,
568,440,104,850,828,468,962,740,971,468,892,747,392,434,104,897,807,559,741,
698,067,621,210,539,084,671,909,125,056,445,292,980,132,823,215,946,998,305,
235,608,627,999,506,368,032,587,272,970,477,884,198,809,733,697,341,659,172,
885,993,083,617,960,868,289,230,934,492,535,040,450,958,246,891,608,084,773,
409,037,182,148,879,343,670,135,868,049,434,091,835,005,268,328,025,679,137,
103,428,534,701,549,066,226,238,214,891,779,223,728,124,903,993,380,967,861,
129,323,251,808,060,635,976,624,439,491,982,907,975,753,315,549,184,985,216,
166,215,609,676,334,952,610,197,302,882,563,942,689,230,823,016,949,004,211,
940,448,501,393,714,718,039,599,289,310,220,678,273,667,181,806,649,216,121,
553,409,949,804,181,880,790,610,480,686,980,775,919,296,022,359,280,626,095,
372,605,032,703,155,013,891,920,386,776,740,031,685,876,974,114,239,604,233,
669,544,028,234,353,814,942,862,880,554,642,117,909,952,990,669,937,610,804,
531,500,622,730,553,080,745,146,957,200,155,137,133,868,669,529,133,656,319,
469,565,488,287,912,464,846,774,202,011,567,792,711,766,918,860,808,945,017,
009,736,491,434,801,525,186,461,413,908,149,634,203,798,594,900,769,188,541,
726,728,788,119,955,149,518,822,052,429,596,992,870,166,277,474,827,083,777,
749,308,022,740,381,936,206,129,097,362,337,489,758,362,395,899,354,705,701,
291,958,278,364,805,046,429,942,686,879,195,766,968,617,816,001,295,026,971,
697,821,758,057,989,022,112,308,644,803,719,485,890,480,284,362,696,122,817,
242,880,351,819,181,407,295,668,036,777,629,356,461,998,607,369,074,265,133,
574,065,787,534,211,606,924,478,037,620,656,710,068,572,743,245,148,068,915,
731,165,286,098,000,292,591,030,214,998,782,408,405,161,688,880,007,477,640,
262,190,668,103,344,072,663,697,031,546,278,710,665,061,198,243,063,687,857,
965,424,568,877,151,182,430,545,777,185,070,249,743,230,391,050,390,253,276,
921,813,060,822,812,284,668,357,332,933,242,684,757,023,282,231,118,271,396,
227,398,959,732,895,338,877,564,467,626,982,852,695,610,512,528,004,505,880,
808,092,157,292,038,140,982,717,896,623,289,957,505,158,365,403,810,054,246,
471,180,852,243,566,641,184,309,385,126,325,029,093,589,189,687,759,924,328,
317,213,859,364,705,225,479,393,171,084,186,325,716,805,795,189,864,946,151,
973,735,378,473,464,064,547,761,977,740,426,006,917,886,263,440,592,820,054,
765,671,810,025,680,313,090,330,953,822,185,817,966,898,366,778,657,245,977,
917,283,010,515,618,386,538,806,886,014,027,299,511,712,106,713,992,890,202,
736,992,956,787,048,510,605,239,256,587,965,554,631,108,987,354,041,354,354,
007,117,914,518,843,541,951,479,411,747,701,122,509,005,482,366,738,312,139,
632,103,197,880,608,944,055,517,498,420,070,798,933,685,799,449,887,192,707,
379,444,814,213,122,908,360,984,237,948,847,503,600,737,244,611,799,616,881,
759,845,937,261,391,425,210,743,260,424,182,159,077,915,751,882,853,670,993,
167,243,529,432,173,186,521,146,856,198,376,011,948,756,954,234,470,618,636,
331,822,940,802,395,097,728,224,147,705,029,339,860,225,278,676,552,180,290,
142,174,490,072,097,208,877,056,798,068,971,770,017,176,634,673,969,106,390,
613,874,064,426,963,849,557,381,790,214,828,649,636,414,280,809,438,711,674,
718,896,076,640,577,406,244,311,917,405,124,288,919,969,092,320,337,081,205,
369,339,635,459,053,253,975,149,164,953,730,028,150,152,854,107,130,543,405,
447,530,709,297,583,070,171,493,409,803,518,663,984,317,653,890,493,977,246,
940,670,696,743,917,595,996,117,093,491,587,401,515,962,437,684,350,800,541,
545,084,214,320,218,356,555,956,961,661,628,036,453,689,331,654,486,156,019,
894,901,023,409,091,806,816,626,456,044,801,455,329,457,258,793,057,734,519,
526,790,677,345,477,819,384,559,657,070,079,820,463,962,251,156,796,451,749,
917,209,715,709,342,260,187,892,759,755,547,863,934,041,463,537,543,398,318,
523,171,020,732,219,235,837,289,225,156,271,042,445,016,392,724,681,913,149,
280,484,096,997,052,160,086,853,247,498,748,257,612,605,997,400,610,308,053,
598,695,518,373,568,026,992,022,725,582,633,503,289,154,083,166,040,073,960,
660,081,145,107,872,504,196,267,787,340,578,259,434,959,291,118,120,186,748,
390,422,980,334,854,353,899,688,094,149,755,132,294,684,606,311,681,709,434,
230,220,241,732,501,099,915,593,117,374,441,877,675,540,134,275,845,978,015,
071,263,022,853,895,565,096,465,184,943,770,556,604,927,480,272,572,664,929,
646,766,826,823,010,397,206,966,586,904,892,068,295,069,566,591,739,186,687,
435,895,691,419,618,402,319,491,996,270,298,145,297,088,427,861,234,558,938,
149,600,730,234,679,341,695,296,119,140,811,482,416,878,619,545,887,040,056,
136,618,663,761,294,197,462,282,736,713,615,892,731,090,242,883,522,240,464,
551,048,919,897,329,830,088,832,116,078,129,914,213,343,874,300,413,418,917,
322,402,070,761,600,595,481,214,448,258,361,153,919,129,905,150,128,706,934,
782,420,165,678,539,276,391,193,683,573,284,290,526,197,995,215,388,110,336,
458,615,746,978,585,634,479,937,992,783,970,749,243,250,929,057,798,865,837,
235,457,349,652,630,234,406,243,664,323,577,017,710,071,566,294,804,392,616,
869,345,545,634,893,216,105,669,425,510,409,717,662,979,900,798,802,517,441,
323,737,801,814,637,562,909,896,806,485,640,390,602,451,606,544,109,220,005,
578,183,200,495,574,034,790,249,124,467,508,035,191,152,275,684,167,166,573,
146,923,267,683,548,551,631,864,078,830,658,091,324,864,621,278,602,191,426,
201,503,909,658,291,966,979,663,321,197,002,291,815,114,550,957,912,069,267,
918,303,110,496,540,462,051,886,912,525,117,846,325,372,715,728,313,822,781,
334,780,920,184,807,685,933,262,649,414,156,106,522,588,720,071,240,668,247,
642,141,833,828,188,899,891,701,872,550,130,584,810,221,872,608,666,973,890,
241,422,748,321,588,455,067,284,314,578,328,863,333,220,419,326,817,802,333,
347,224,893,138,222,164,676,074,274,751,467,122,900,194,819,128,294,593,358,
740,670,570,896,480,896,984,728,772,744,488,772,507,197,827,555,878,045,647,
118,143,239,294,137,188,827,123,035,172,465,269,728,971,473,440,431,750,618,
912,503,910,765,811,349,742,931,395,600,376,378,389,682,301,998,269,775,962,
513,322,007,104,127,172,952,938,190,333,740,522,017,534,587,428,991,612,838,
501,946,491,578,876,951,015,515,773,806,776,542,676,567,539,909,342,060,387,
985,054,444,499,126,910,389,732,657,560,447,501,232,902,997,625,076,635,958,
069,194,997,496,435,894,051,224,433,897,800,678,446,103,896,855,639,591,073,
356,033,173,055,922,272,398,951,647,698,270,531,069,581,825,621,206,320,398,
234,031,206,244,644,543,789,698,246,562,689,096,917,023,162,766,158,594,468,
081,606,155,125,308,725,357,334,447,418,925,935,036,991,398,039,758,482,660,
911,391,702,084,580,414,662,091,013,970,935,856,259,225,320,631,504,659,874,
548,279,190,176,974,186,070,548,931,630,752,970,307,990,402,812,461,207,576,
854,934,072,142,757,827,718,478,781,318,240,044,257,615,254,183,912,753,054,
374,886,415,054,011,953,280,782,482,447,492,333,202,543,762,337,479,782,345,
062,371,696,284,785,297,901,057,049,407,358,559,015,701,879,215,353,845,916,
429,486,865,669,273,697,433,966,646,128,489,925,998,977,168,528,175,719,811,
670,458,602,098,757,786,720,744,814,796,251,833,185,608,252,951,491,208,531,
152,957,112,438,993,140,623,841,954,821,511,763,675,200,003,056,216,171,782,
250,137,472,755,186,619,767,265,484,325,125,421,515,494,572,510,297,728,815,
015,372,232,515,995,210,147,749,067,145,737,721,954,920,662,322,885,352,001,
727,314,839,114,953,350,955,111,640,125,433,991,803,225,358,093,438,758,289,
808,996,301,137,384,007,126,616,760,992,175,144,608,353,985,782,038,200,242,
811,344,453,179,366,841,555,506,059,112,018,905,791,555,553,519,484,434,413,
775,799,983,227,363,049,213,380,805,645,839,787,379,237,043,790,584,068,380,
576,812,012,428,076,919,223,111,299,240,928,740,995,068,142,502,625,992,226,
713,007,623,296,515,624,266,322,443,527,940,766,036,509,893,593,290,961,532,
923,529,036,669,607,540,799,089,009,053,386,931,715,862,332,098,527,077,233,
206,484,444,071,665,725,524,924,407,496,297,363,743,086,221,653,374,510,367,
734,187,849,074,024,687,420,343,420,709,929,227,233,984,721,412,373,467,395,
935,957,228,707,123,913,091,829,331,878,210,649,788,191,033,622,336,475,263,
672,502,812,668,731,097,653,675,582,274,329,373,089,235,115,171,079,295,117,
160,081,039,412,937,817,795,545,741,216,959,834,772,642,982,229,348,488,109,
281,778,751,829,250,347,192,623,387,197,907,783,106,791,664,180,122,334,188,
558,497,737,282,765,713,007,438,901,127,756,698,681,290,118,755,438,382,050,
193,640,868,920,004,902,340,347,022,852,204,672,107,183,595,311,714,651,616,
996,486,343,204,531,685,421,927,928,569,751,265,795,430,886,962,683,976,891,
494,184,806,229,023,028,522,003,153,333,352,094,502,000,621,532,618,255,336,
025,496,776,307,533,563,505,492,982,359,980,038,279,019,137,253,233,852,972,
092,553,831,852,761,865,295,500,189,485,285,422,995,181,413,979,656,964,261,
636,887,997,847,305,159,139,292,931,369,728,903,518,642,323,458,744,870,878,
940,618,372,687,369,819,718,635,651,149,809,035,644,304,720,569,589,110,232,
096,613,889,288,975,298,755,064,415,725,767,870,043,263,581,644,388,230,049,
878,857,274,868,552,043,804,493,278,917,376,826,945,211,347,479,554,830,904,
728,428,534,766,504,914,462,276,106,010,262,187,243,002,839,154,052,730,270,
753,418,244,774,557,310,002,673,201,805,007,977,606,476,187,730,938,835,900,
492,881,108,670,609,211,945,979,636,729,646,071,847,301,241,508,466,349,173,
617,059,870,530,058,958,303,750,300,011,343,884,733,685,306,586,998,077,205,
529,947,883,029,802,965,335,177,563,589,412,947,296,867,907,545,055,968,803,
589,467,019,692,514,502,896,827,947,312,474,494,783,029,312,367,644,429,243,
259,637,993,561,360,552,083,182,505,406,111,154,719,590,384,230,602,354,615,
381,451,561,037,174,023,389,800,110,882,598,878,683,917,654,016,464,607,152,
593,810,839,079,369,543,361,473,310,481,012,080,876,721,042,055,651,676,620,
296,539,053,357,062,569,528,413,207,140,490,072,791,690,760,930,265,528,179,
358,882,401,891,137,759,004,863,534,413,622,630,880,720,001,191,387,467,608,
772,389,383,248,812,481,694,099,731,543,907,227,617,774,213,594,317,333,238,
716,008,178,275,233,872,315,892,028,585,954,929,919,987,121,442,557,027,967,
892,218,712,225,517,512,627,004,313,120,907,283,394,272,618,117,006,001,702,
703,991,641,384,571,520,305,494,845,595,189,278,400,612,655,499,360,433,240,
130,243,190,873,409,577,258,754,813,034,372,545,646,478,774,516,429,856,016,
405,519,175,084,811,870,937,056,053,609,849,864,238,016,029,637,940,977,688,
175,567,961,422,736,896,931,248,411,230,400,819,689,526,757,356,187,090,860,
460,644,736,197,026,966,571,935,071,757,519,032,671,379,466,844,717,947,525,
795,536,526,400,652,983,807,263,081,742,522,269,583,912,095,603,841,701,618,
300,892,544,377,490,594,319,150,067,450,046,414,334,927,982,889,125,857,487,
417,175,780,716,776,908,709,288,858,569,703,566,246,033,248,874,455,332,377,
281,498,365,778,498,790,607,682,933,265,834,113,648,952,042,541,467,105,203,
121,459,829,159,754,414,710,188,213,213,628,670,878,195,921,345,436,226,295,
832,280,296,829,195,903,607,395,746,541,962,005,018,869,183,555,531,483,108,
096,831,016,282,487,007,111,988,657,014,407,067,673,206,492,609,521,858,930,
386,093,235,522,810,862,204,344,517,370,776,186,316,638,550,227,663,395,587,
103,497,093,376,941,683,412,068,959,730,478,644,523,576,369,187,476,789,500,
459,995,829,806,174,339,073,635,897,262,148,201,449,471,113,891,058,524,729,
546,729,548,604,616,390,572,128,143,992,227,121,289,635,269,232,487,462,830,
936,149,554,712,507,633,003,427,139,253,433,057,294,651,811,982,447,104,692,
271,859,172,932,839,867,281,679,392,706,178,041,776,365,313,745,287,751,231,
364,792,378,648,075,286,473,837,940,123,969,937,914,142,486,579,929,691,014,
559,983,989,776,770,454,269,054,868,348,866,892,271,468,580,360,592,065,524,
918,865,603,016,915,032,857,258,936,277,938,554,107,731,670,921,973,046,396,
160,531,733,042,441,518,316,350,065,049,120,155,834,942,148,671,573,596,821,
345,501,517,629,203,698,502,201,032,271,299,487,882,988,410,829,329,303,964,
811,116,613,627,167,488,680,509,063,846,560,600,254,660,874,169,685,221,102,
556,355,798,437,262,688,061,810,338,701,503,653,908,185,851,711,784,815,301,
788,673,400,365,140,925,888,381,155,674,257,754,019,353,587,477,609,642,638,
252,687,483,183,379,054,679,829,796,938,902,556,473,237,353,171,091,041,682,
480,526,145,624,896,133,262,199,956,467,761,263,747,052,583,348,012,743,559,
309,963,735,266,918,440,018,207,532,171,387,175,402,632,551,308,790,647,758,
588,802,325,099,906,201,693,948,385,579,100,503,027,779,461,366,819,159,983,
129,317,303,722,673,690,738,545,059,110,961,747,792,109,740,595,478,317,554,
220,026,044,539,951,402,450,257,006,665,964,697,655,505,811,312,395,387,151,
510,828,558,010,075,380,329,827,535,048,322,967,306,958,523,163,451,669,462,
712,291,622,695,560,815,509,785,056,229,500,559,829,164,307,298,968,265,463,
408,619,323,936,716,319,752,186,998,028,392,235,702,400,216,003,704,997,973,
526,897,439,361,268,972,561,515,975,283,488,396,851,985,596,209,648,222,545,
197,736,888,848,130,963,952,738,917,457,569,505,042,239,474,037,100,619,255,
078,242,853,776,035,904,116,825,774,431,613,545,036,143,344,482,327,589,443,
762,458,107,345,282,143,807,318,309,196,027,905,266,939,332,351,414,089,982,
930,459,764,597,674,027,957,152,009,025,057,104,905,068,468,780,141,243,121,
635,842,526,306,347,992,483,319,340,856,170,818,647,897,162,439,211,093,009,
760,546,798,051,095,695,525,455,718,818,581,813,049,207,009,714,480,275,070,
490,799,123,585,078,550,655,704,975,597,130,732,360,072,180,276,365,210,613,
043,796,740,641,086,896,577,377,678,914,932,060,922,753,297,091,517,629,431,
360,604,074,486,274,716,247,657,690,743,994,533,475,197,095,000,491,674,013,
779,781,413,286,320,545,280,289,286,542,187,376,247,581,667,094,622,915,481,
609,481,807,680,703,556,212,320,192,338,890,894,166,299,390,070,487,843,957,
397,850,261,845,740,071,753,531,340,333,788,076,221,355,014,007,241,847,970,
203,869,551,525,424,265,957,514,343,064,822,830,271,474,536,886,577,472,334,
242,309,138,533,504,409,849,708,450,134,078,680,752,980,764,157,124,888,196,
173,583,171,284,440,095,951,390,126,152,043,309,248,100,005,239,444,921,797,
486,851,721,403,163,381,990,211,078,510,083,548,057,723,770,571,848,336,347,
953,360,597,996,032,949,585,952,951,349,377,241,178,632,573,684,796,861,081,
533,719,986,677,239,814,850,040,838,569,235,748,558,677,192,820,817,957,332,
277,063,641,747,439,006,687,671,906,022,333,207,680,474,447,440,388,361,182,
315,820,556,774,787,010,371,310,215,004,417,441,528,618,170,724,519,264,259,
758,540,631,052,712,064,552,858,058,416,652,341,693,440,282,750,035,127,250,
981,628,466,083,339,758,681,281,336,169,705,915,642,553,230,947,568,294,043,
924,393,182,065,352,918,995,421,944,941,834,622,985,170,923,295,765,187,419,
635,112,541,255,344,937,110,742,630,969,270,380,649,677,139,534,041,827,736,
206,487,729,546,252,177,523,125,941,604,952,749,259,078,761,674,505,901,142,
246,515,899,106,591,819,162,765,082,782,043,487,148,272,962,583,765,592,876,
074,190,529,016,191,561,762,606,453,240,168,419,108,855,437,887,327,553,155,
126,012,274,497,366,131,436,478,163,757,908,379,974,809,629,986,014,730,790,
740,208,693,449,249,447,987,311,065,057,654,996,794,176,151,504,265,190,145,
762,208,328,596,973,966,706,866,938,603,592,288,092,723,186,303,029,396,345,
790,362,116,893,106,025,393,870,448,484,683,521,090,860,010,220,876,965,289,
735,142,327,365,854,464,505,812,881,949,133,449,998,682,028,930,819,696,179,
158,281,498,078,328,793,461,719,845,317,470,366,920,382,205,680,790,585,756,
011,048,837,342,918,961,557,204,801,137,642,429,704,735,603,561,015,514,092,
394,113,088,698,471,883,799,960,830,659,537,736,353,348,859,461,922,936,782,
354,482,605,737,986,154,730,021,535,615,543,780,799,054,938,378,325,291,723,
339,705,311,282,900,181,222,637,407,129,489,157,997,409,793,128,868,304,945,
597,369,912,312,799,434,846,363,701,265,997,811,703,935,229,348,744,592,516,
651,548,573,003,851,489,752,518,782,484,386,338,778,247,440,543,688,500,940,
917,721,145,976,964,984,113,696,752,960,059,250,205,457,933,249,439,820,986,
660,746,552,145,669,550,243,380,716,560,993,350,739,874,272,606,828,596,956,
385,763,044,594,972,826,118,685,228,979,125,016,910,777,500,193,420,548,727,
559,246,440,679,101,225,871,423,704,167,911,269,750,312,293,156,940,751,673,
539,512,073,307,514,006,242,731,267,852,948,049,060,811,947,584,062,944,373,
395,164,021,049,406,687,280,580,688,097,718,677,068,339,015,853,789,220,775,
990,042,956,451,106,616,343,683,754,147,278,057,489,771,310,691,200,109,370,
648,180,545,752,527,689,778,967,969,715,855,317,725,727,844,358,235,234,416,
876,449,036,466,754,058,580,740,709,278,315,357,916,278,049,498,741,110,527,
713,716,558,246,196,748,151,561,709,982,000,553,429,227,636,309,682,051,302,
642,311,052,184,995,141,944,350,271,610,864,349,418,660,423,357,241,691,401,
258,649,038,826,925,416,343,362,895,960,331,965,066,713,382,273,051,952,303,
045,401,167,499,276,206,691,839,275,553,319,105,377,190,717,944,149,551,789,
740,845,682,094,268,999,241,377,374,343,172,421,136,647,457,449,549,263,063,
692,718,456,756,088,604,257,564,461,791,162,612,763,144,327,628,380,409,036,
606,757,095,142,556,025,072,494,142,439,590,270,538,018,517,502,382,649,868,
146,682,046,337,436,034,905,745,624,934,726,767,867,146,323,854,255,647,509,
441,062,625,242,337,350,939,925,278,147,754,619,696,814,979,687,922,752,969,
317,271,602,548,656,099,231,403,275,094,002,148,251,247,110,178,487,659,692,
574,039,363,706,352,980,859,180,244,883,600,367,753,173,290,964,258,186,884,
177,167,038,998,689,945,554,118,077,919,112,822,386,541,028,421,287,151,961,
583,296,650,949,707,106,117,046,240,961,555,684,801,383,238,412,664,625,024,
905,817,172,915,855,260,423,046,964,852,833,835,862,409,711,846,893,090,304,
091,188,540,099,247,855,690,319,917,154,172,894,590,899,756,547,874,730,510,
867,016,564,601,192,574,141,794,426,893,915,846,574,839,332,502,896,355,022,
487,982,020,352,519,989,711,515,027,521,719,915,400,569,386,652,009,640,101,
637,334,030,895,196,115,537,638,751,068,866,048,325,288,540,602,675,260,395,
454,069,326,861,796,886,456,601,025,263,449,292,610,889,381,464,264,884,204,
217,822,857,047,923,958,433,745,711,941,136,426,148,936,533,376,027,712,085,
927,104,421,878,049,711,772,135,098,477,151,951,930,303,567,276,892,957,299,
471,987,398,025,731,475,421,908,795,513,614,759,423,698,200,038,794,399,269,
265,911,988,216,373,504,240,661,680,939,552,291,993,108,798,451,650,968,197,
645,822,536,093,213,680,485,401,750,722,679,078,046,069,541,677,568,339,311,
950,651,781,173,536,247,149,965,824,369,697,028,076,477,137,119,896,448,231,
548,514,971,049,063,642,879,942,601,837,333,251,957,161,623,381,284,980,298,
482,528,001,270,429,295,993,325,924,801,081,927,032,568,016,475,545,160,685,
690,742,202,999,625,174,446,339,392,756,657,351,822,080,609,745,236,045,798,
831,615,223,673,169,522,281,661,039,142,060,758,170,967,389,250,093,965,439,
803,696,619,356,506,131,066,520,878,937,352,419,067,731,863,378,796,545,968,
850,245,742,012,266,894,858,246,125,868,393,633,838,412,822,964,626,749,683,
860,342,396,121,544,191,654,306,125,869,497,562,504,793,100,499,912,097,047,
594,128,176,331,470,791,251,753,280,603,254,176,729,634,069,652,213,140,607,
751,225,775,532,482,851,499,133,022,262,328,629,134,144,510,377,165,148,041,
913,791,774,263,359,414,093,285,729,052,301,408,266,002,051,196,831,569,990,
499,050,038,567,064,968,450,293,382,573,844,273,491,732,720,633,233,110,529,
107,899,879,956,354,657,222,121,358,402,849,186,950,987,438,004,740,690,902,
544,847,178,907,095,849,292,102,325,229,631,524,828,646,902,145,670,055,161,
799,972,501,482,073,818,447,705,043,089,877,809,108,061,301,349,275,338,809,
342,181,537,089,440,486,035,537,551,567,891,320,144,388,808,262,835,742,349,
372,005,152,509,517,969,740,950,244,951,180,112,941,239,135,865,070,746,048,
234,111,208,329,173,416,145,486,531,333,445,139,140,263,854,839,625,601,576,
550,693,042,777,364,818,188,437,358,029,318,790,446,185,650,438,797,363,273,
738,709,907,082,276,036,604,418,849,177,657,593,944,604,286,540,962,216,856,
672,416,387,078,507,951,084,231,987,997,928,956,814,135,715,069,057,143,776,
160,606,413,089,178,422,589,426,315,583,768,201,001,256,990,129,078,044,879,
699,647,580,054,113,082,501,606,921,506,671,893,084,100,698,281,130,170,017,
835,375,160,829,403,238,528,696,935,040,371,638,980,739,145,900,188,967,241,
040,223,239,294,841,297,114,057,094,641,996,289,356,458,659,540,759,340,277,
452,705,981,854,540,785,834,045,832,530,440,435,538,608,699,890,567,183,545,
412,767,961,032,135,260,536,753,144,176,695,283,241,133,098,097,335,957,553,
508,209,295,134,245,121,115,650,403,696,990,502,870,352,712,687,758,036,392,
390,239,770,272,186,742,386,930,641,481,966,496,040,913,774,798,504,254,414,
148,655,275,291,547,414,751,098,552,389,495,896,433,322,097,523,462,680,541,
007,342,876,670,718,193,382,700,512,945,941,318,617,834,124,690,707,125,586,
130,196,971,108,545,077,512,386,723,823,420,278,948,833,223,853,481,732,949,
207,455,423,141,538,705,791,522,312,709,229,598,962,071,593,961,287,523,429,
917,702,247,701,496,962,911,781,101,602,212,344,245,760,233,476,171,425,974,
529,876,938,597,162,083,746,608,794,218,148,627,758,037,435,008,787,156,102,
245,063,643,167,558,569,666,634,612,284,675,328,052,118,615,998,694,528,002,
077,334,905,084,421,659,838,181,651,429,095,478,998,516,351,557,742,318,129,
600,246,863,331,395,606,444,127,982,336,792,539,361,621,744,333,516,652,128,
012,599,778,306,850,029,734,890,862,166,377,936,319,896,703,201,667,263,641,
035,323,759,603,339,895,145,503,655,337,960,231,330,051,249,842,761,579,617,
050,759,703,671,353,871,767,424,413,984,451,702,562,190,236,105,043,547,518,
838,161,307,504,061,748,533,454,829,021,533,290,204,133,802,947,405,189,728,
345,255,961,439,271,650,016,141,169,805,701,174,485,740,506,866,250,726,098,
037,297,429,592,343,082,628,579,254,417,559,900,514,416,776,967,129,666,075,
853,658,188,984,025,885,232,231,996,810,984,574,316,404,248,602,902,059,440,
823,494,422,048,373,866,315,117,551,416,053,429,755,527,381,475,816,608,646,
126,682,948,584,655,539,468,669,722,279,728,737,655,849,830,971,886,938,197,
409,272,475,907,126,204,202,153,747,944,871,083,674,433,058,671,436,303,374,
339,963,127,082,783,009,776,854,954,193,884,965,479,739,599,172,917,829,707,
173,687,831,958,442,320,761,384,325,456,668,493,492,015,018,642,279,113,979,
873,471,470,544,894,887,378,947,293,927,379,714,179,965,182,532,309,494,211,
486,004,603,583,967,159,827,087,573,222,217,861,380,432,972,247,533,081,412,
591,895,912,217,095,264,310,159,241,901,457,168,526,513,004,463,264,748,238,
976,779,927,276,070,184,662,439,422,897,314,643,316,483,298,519,300,602,908,
664,434,594,300,521,443,000,568,417,159,854,085,568,572,250,656,518,401,622,
607,282,247,846,623,392,591,791,039,154,890,330,779,441,100,428,523,507,989,
496,399,487,929,845,051,413,854,651,460,130,220,216,703,859,010,576,171,547,
337,489,572,386,324,366,609,928,276,540,477,296,099,903,031,120,849,611,548,
535,640,948,245,672,676,011,226,027,061,738,542,795,131,613,674,609,100,600,
724,351,406,860,125,756,949,884,446,674,109,718,842,446,370,957,515,486,275,
530,207,743,555,497,075,665,461,108,914,069,581,536,331,052,622,954,621,136,
274,032,325,820,038,818,295,245,286,650,200,071,607,685,019,637,085,052,347,
316,405,279,168,444,867,561,594,894,601,941,393,227,679,635,263,953,651,831,
355,959,182,842,352,623,956,723,917,316,899,147,143,515,221,960,740,172,339,
072,478,342,361,010,415,889,579,872,705,545,012,873,779,455,361,286,047,909,
710,564,969,907,164,065,125,417,263,837,753,514,782,816,609,125,864,783,601,
586,576,694,003,520,048,334,600,872,338,534,375,392,605,317,454,982,271,394,
519,495,944,050,613,578,118,349,795,490,114,377,992,759,133,540,962,828,180,
197,245,599,346,458,540,439,645,473,631,039,648,827,375,170,942,954,010,626,
252,841,324,312,778,935,071,048,287,269,595,616,228,559,090,747,926,599,814,
873,478,736,090,694,014,807,775,243,520,183,994,421,813,303,969,705,393,347,
844,069,309,823,673,297,766,802,755,946,364,282,374,364,455,412,923,259,126,
967,384,789,474,118,204,549,181,786,854,922,871,933,980,263,983,737,924,639,
929,995,649,319,466,533,706,710,860,188,529,817,708,089,408,224,006,010,811,
985,517,432,953,556,697,045,056,371,470,097,654,295,480,071,385,765,039,621,
818,599,492,953,315,042,642,407,529,203,448,264,538,221,507,161,597,642,221,
329,506,612,817,111,018,884,005,087,896,222,740,616,678,629,522,874,974,477,
755,713,462,839,598,363,560,059,313,728,687,597,720,252,514,920,247,214,618,
425,710,023,523,640,756,970,762,502,655,367,557,615,346,176,505,972,677,518,
807,511,702,930,927,662,609,936,369,904,274,173,763,838,808,232,362,894,775,
078,144,497,300,779,407,963,308,040,024,691,426,641,948,577,608,463,314,593,
119,211,410,785,558,986,979,310,934,225,865,486,001,209,408,415,286,679,526,
543,292,160,805,946,368,544,642,664,444,630,270,074,981,059,799,844,388,573,
160,759,992,142,946,716,744,878,027,261,628,125,719,966,351,865,734,156,179,
100,373,284,674,316,050,604,997,083,424,336,935,570,987,189,330,005,499,963,
010,121,512,499,904,251,419,113,483,591,557,189,086,920,260,548,019,517,171,
840,268,967,986,805,968,098,882,534,133,174,816,850,492,279,915,559,742,116,
151,465,744,094,041,133,707,833,991,613,279,204,672,374,213,616,882,441,408,
792,508,700,783,484,626,371,632,350,253,881,301,683,604,091,365,655,421,004,
908,824,231,691,407,899,676,579,406,020,710,354,335,958,367,509,577,542,246,
740,810,473,722,195,466,901,948,888,056,274,284,480,976,662,278,642,494,076,
210,280,506,475,982,007,460,130,418,504,340,952,777,024,778,421,560,024,509,
449,696,973,720,784,113,972,277,758,789,788,338,318,574,711,522,506,557,430,
972,246,858,169,431,241,175,838,934,469,146,088,392,779,147,049,427,772,318,
937,670,877,351,769,227,544,660,354,980,631,327,404,020,766,429,664,711,489,
464,819,718,735,294,964,102,475,939,063,025,708,095,437,354,595,428,144,199,
323,827,499,512,495,303,579,368,927,531,700,077,978,002,530,764,157,133,193,
877,212,819,892,124,144,938,431,755,897,623,717,581,012,091,030,434,466,426,
019,650,737,610,641,046,019,179,329,337,775,272,584,170,247,197,995,541,693,
772,169,544,010,248,683,311,978,335,267,456,311,246,767,163,644,439,318,380,
608,588,629,271,543,054,766,492,293,397,249,767,261,759,446,183,204,417,782,
654,249,465,949,179,165,690,103,208,114,022,794,080,330,479,734,211,044,388,
920,500,586,587,574,528,687,019,388,807,645,418,680,799,315,306,404,050,643,
258,224,827,363,327,238,219,646,574,682,768,080,264,136,788,190,716,302,027,
730,366,338,464,657,228,464,853,840,778,297,934,172,161,885,742,139,103,930,
423,939,569,980,690,358,741,877,927,367,637,448,749,238,593,509,174,091,604,
585,176,983,447,913,388,221,503,596,701,673,853,185,101,852,719,400,622,121,
145,869,509,643,211,301,346,769,949,947,355,211,609,276,435,759,855,966,874,
061,756,447,735,783,957,202,228,536,733,392,305,753,822,549,423,429,082,497,
331,981,689,723,652,427,876,865,107,064,844,549,756,684,654,383,046,409,271,
759,921,272,680,134,067,332,068,385,307,804,487,672,694,423,537,814,149,871,
536,610,579,708,898,576,356,528,907,445,480,805,323,005,697,086,300,449,141,
258,578,048,064,311,108,539,573,007,854,947,783,290,148,779,908,068,022,419,
476,369,026,191,347,825,636,600,766,004,363,268,391,085,306,638,983,364,267,
273,205,112,874,320,734,817,398,207,400,421,325,865,149,582,822,096,643,015,
526,535,414,209,648,393,792,439,008,853,080,988,116,913,904,345,731,542,614,
786,058,863,811,276,948,765,208,387,138,055,078,711,561,316,012,455,204,269,
255,565,646,960,820,091,081,036,447,118,728,968,333,548,501,741,461,837,130,
615,589,867,123,750,333,131,411,531,824,183,902,218,945,361,173,557,690,671,
901,814,849,929,150,747,198,340,998,067,859,489,034,180,043,407,415,113,122,
131,293,543,037,699,464,133,408,754,841,995,032,788,654,283,814,339,396,288,
248,440,522,106,192,116,588,545,248,855,831,263,191,667,949,065,278,906,645,
358,963,467,507,399,392,814,745,955,254,291,641,294,244,914,782,732,532,411,
483,809,764,003,960,790,122,109,436,266,737,229,480,038,274,959,593,001,924,
602,795,407,952,830,407,893,091,046,033,743,235,819,876,000,576,078,726,659,
823,777,985,682,181,649,193,160,295,336,241,267,819,146,891,852,124,387,180,
762,529,702,486,055,949,628,061,384,714,643,394,526,206,654,740,908,359,485,
979,590,640,541,667,182,108,667,579,444,441,833,097,402,894,680,399,037,018,
206,658,779,737,695,918,284,307,609,255,943,057,432,639,867,261,909,683,594,
270,160,231,146,751,048,271,031,348,390,827,836,992,353,520,729,275,546,398,
635,680,885,569,897,380,651,959,454,142,266,857,830,280,616,721,970,577,429,
933,559,017,966,791,590,733,273,919,209,112,803,560,814,841,182,091,832,339,
934,179,008,892,707,655,579,017,215,825,725,096,355,089,514,340,459,046,062,
735,452,854,008,151,997,475,517,241,415,209,396,945,202,796,371,138,355,625,
667,964,185,020,349,431,568,663,601,792,820,795,854,659,709,575,835,675,156,
159,991,756,090,034,889,009,497,085,617,573,916,422,945,796,658,611,454,317,
822,613,427,412,863,414,575,697,515,638,818,664,851,654,154,811,536,270,568,
416,356,427,057,104,186,854,659,215,137,346,045,196,634,160,470,617,176,905,
720,970,693,362,272,611,491,384,052,304,677,421,138,054,954,712,358,437,366,
824,937,587,607,527,121,160,913,282,642,950,623,233,339,013,150,103,119,516,
633,008,689,869,739,648,014,055,215,070,188,843,516,478,234,814,848,930,268,
037,096,406,152,356,742,411,433,617,642,632,455,382,717,914,449,453,657,815,
533,383,951,184,676,180,922,381,667,137,593,845,024,678,627,034,723,631,339,
289,679,090,257,588,745,665,033,506,171,431,895,755,665,555,121,915,826,785,
073,086,790,493,173,078,034,845,477,355,559,254,937,116,526,019,084,536,747,
222,215,086,394,757,332,201,894,435,785,211,879,331,857,010,116,586,743,906,
243,878,483,992,003,528,526,333,358,107,661,730,086,915,389,342,855,685,391,
188,245,687,410,003,898,153,162,080,882,599,405,409,665,106,376,350,081,266,
831,402,393,614,181,636,945,377,449,806,284,036,985,895,261,116,360,869,037,
832,857,127,321,032,189,009,850,398,433,127,307,107,459,981,585,525,369,659,
132,887,623,655,447,955,059,749,203,069,348,738,423,956,181,125,158,208,506,
257,269,257,799,513,583,320,605,547,388,625,171,991,089,787,649,889,854,064,
234,831,465,289,526,760,035,011,283,680,657,034,619,068,330,889,292,389,381,
950,295,093,135,694,002,673,187,402,812,596,821,249,996,439,442,903,108,278,
527,836,802,115,425,886,694,702,085,937,582,213,504,697,069,918,694,663,381,
660,894,571,429,240,701,348,307,079,911,929,092,772,716,785,124,348,938,111,
790,539,755,754,907,516,114,468,687,580,213,021,195,687,982,438,667,864,531,
509,905,812,588,129,386,144,928,809,559,213,082,102,557,244,505,791,147,892,
919,328,640,684,452,094,799,237,189,722,284,252,937,715,967,680,522,366,302,
427,097,281,160,268,600,014,454,033,643,101,173,312,322,222,955,176,096,494,
951,230,236,602,626,724,670,477,142,333,483,424,062,454,139,560,243,309,562,
324,500,911,762,390,663,087,203,440,656,562,049,959,655,563,620,963,729,131,
629,591,210,029,665,107,639,693,538,646,371,690,163,510,993,853,053,182,811,
889,819,893,401,901,226,222,913,715,498,183,703,816,532,094,567,284,686,787,
176,513,000,951,571,105,166,699,246,279,319,754,622,484,689,499,358,023,636,
054,432,694,175,041,047,473,539,103,041,910,719,212,777,797,762,237,802,760,
915,701,896,220,741,018,724,200,163,492,097,333,135,848,926,777,631,310,789,
819,850,642,592,934,400,531,637,239,291,039,977,130,229,098,934,141,858,795,
200,060,348,569,082,977,119,327,000,863,653,775,257,220,327,093,151,728,969,
172,512,476,846,579,923,924,698,902,115,901,072,645,701,841,856,870,196,421,
935,713,990,857,493,995,145,778,113,460,139,316,544,128,534,492,011,355,842,
571,828,429,753,708,822,342,297,593,334,724,852,699,413,342,244,752,301,894,
318,767,896,823,640,047,046,613,471,252,356,284,727,696,995,261,813,697,941,
347,672,658,044,952,264,853,992,649,798,958,165,703,575,497,005,451,760,579,
276,304,563,871,950,115,158,718,343,283,802,811,220,482,150,341,479,606,858,
006,622,278,451,528,083,250,942,627,430,139,597,394,531,191,237,368,978,304,
690,692,821,458,456,385,699,857,931,429,284,873,448,573,837,732,872,698,796,
993,729,128,105,890,970,451,391,563,267,387,227,070,978,282,070,922,598,957,
846,618,868,280,734,324,083,666,594,697,949,493,532,985,462,649,890,611,506,
149,821,355,948,162,997,084,268,405,571,301,225,178,853,609,642,512,455,264,
945,652,734,192,873,543,540,099,512,181,816,799,978,783,817,678,694,554,959,
527,700,526,137,403,587,573,152,641,868,170,783,918,041,132,846,853,138,468,
931,239,681,377,248,176,889,187,604,178,327,072,214,286,421,093,838,307,812,
167,427,444,543,945,022,832,385,808,580,794,118,539,750,051,761,173,366,299,
286,819,969,014,388,511,496,095,232,082,082,609,978,379,380,693,639,110,537,
821,365,127,238,162,658,234,104,761,373,229,900,016,270,188,611,837,837,753,
499,444,879,494,186,174,567,564,422,365,321,322,477,610,250,922,914,826,742,
927,856,429,677,746,084,139,862,484,821,021,416,595,189,367,325,133,577,636,
653,023,869,386,488,619,216,414,194,989,849,728,439,884,594,065,388,494,765,
687,996,360,344,747,387,586,295,297,691,365,876,252,402,481,926,227,715,741,
683,258,701,809,110,575,352,646,168,422,697,994,040,672,573,508,709,889,245,
723,052,081,715,780,010,612,488,906,246,774,481,788,163,838,844,492,932,351,
704,114,293,481,000,168,590,900,486,347,009,132,505,662,848,801,808,061,834,
176,941,139,320,166,610,880,478,064,571,165,943,332,810,437,073,808,871,900,
602,843,134,634,118,204,782,998,744,424,318,855,079,004,623,294,036,774,552,
349,595,458,339,503,532,684,125,034,582,736,503,525,507,320,981,129,803,659,
056,399,395,094,264,806,702,233,991,075,196,585,028,930,767,269,736,053,950,
981,856,485,947,704,930,615,967,209,972,200,528,893,416,932,304,181,855,660,
153,006,042,647,571,059,578,492,096,771,244,469,408,930,863,232,454,082,491,
980,936,054,970,192,842,575,346,038,174,996,655,864,273,208,377,588,890,265,
344,568,883,468,424,613,121,911,841,750,380,772,692,717,967,716,169,822,484,
594,502,953,538,123,037,917,910,724,687,949,667,494,956,861,898,637,311,707,
432,470,464,070,301,024,995,214,044,637,605,664,787,639,635,763,614,460,461,
349,984,382,385,913,105,590,724,382,043,563,308,385,346,324,549,414,968,221,
497,400,605,483,580,177,192,516,255,731,609,569,929,443,717,000,867,668,759,
434,189,972,739,036,889,860,656,519,258,356,157,402,026,898,782,461,872,470,
884,589,982,303,909,576,695,799,338,281,192,581,102,192,542,711,539,472,829,
147,429,178,073,667,756,808,520,465,269,882,045,201,871,298,373,807,501,744,
573,433,452,817,218,074,455,080,896,066,840,202,287,905,890,369,548,782,955,
986,667,842,459,320,491,817,609,286,808,750,677,035,614,892,912,396,826,926,
795,760,017,652,472,099,006,616,440,826,096,268,830,550,168,774,335,837,440,
551,693,755,962,775,234,157,995,012,797,973,001,962,964,633,886,301,676,120,
180,446,351,614,188,008,145,746,012,344,783,719,933,335,937,961,939,502,044,
515,846,127,566,512,087,789,098,436,092,484,381,471,667,976,604,584,463,925,
176,300,464,364,738,095,006,119,047,629,183,940,057,237,112,012,870,592,546,
724,513,675,754,984,422,062,314,199,737,145,051,039,925,028,128,595,406,542,
026,452,413,928,253,006,287,751,738,271,090,871,162,810,634,449,394,552,801,
477,032,721,555,742,248,281,470,382,382,145,748,952,102,809,700,977,086,764,
240,892,409,613,744,678,896,196,070,908,356,864,418,369,596,972,219,144,074,
080,038,723,856,363,390,444,134,193,706,513,103,718,573,450,365,855,801,169,
865,915,443,268,428,514,966,671,606,757,553,543,631,666,387,989,726,493,355,
693,339,495,679,155,372,855,446,990,009,641,444,626,952,617,106,676,123,497,
623,796,005,540,969,034,531,434,654,476,357,565,574,833,382,798,241,616,565,
535,334,582,202,363,868,957,649,851,912,523,140,386,777,184,489,797,338,560,
762,918,902,359,319,272,514,218,813,790,839,773,618,113,233,950,987,044,797,
446,868,491,403,249,209,903,213,768,710,967,651,509,429,077,897,448,542,622,
326,653,861,328,271,757,869,929,908,844,524,144,517,952,427,653,950,319,523,
078,024,403,611,103,455,391,664,389,236,327,249,756,815,043,321,801,352,204,
998,782,073,699,518,876,995,081,686,587,232,066,616,117,619,787,129,310,058,
593,603,347,243,807,000,943,677,977,488,974,625,149,726,861,240,894,087,683,
619,288,693,166,194,282,209,828,846,283,007,757,801,955,219,114,905,675,041,
247,873,218,942,805,932,522,958,722,466,225,078,762,630,542,233,346,150,893,
724,444,555,996,146,556,404,482,207,462,375,047,389,734,207,861,177,371,383,
404,856,444,778,636,320,146,985,348,113,342,849,043,649,251,850,642,491,632,
955,005,876,050,064,303,771,973,125,057,545,621,898,950,519,878,112,743,157,
566,299,733,264,169,516,374,547,395,238,465,200,439,141,712,587,117,165,837,
235,546,536,004,609,308,290,309,751,513,017,709,341,452,486,572,352,585,995,
746,911,665,493,940,685,841,754,043,295,207,780,856,020,235,732,724,957,801,
205,824,958,569,684,237,363,541,472,584,386,737,270,641,008,270,095,756,016,
674,792,103,717,991,638,938,006,258,640,695,279,133,987,008,846,036,015,589,
647,735,222,620,871,259,372,941,793,551,822,650,854,331,673,045,007,223,036,
550,768,991,013,545,985,023,185,099,079,436,332,021,303,570,391,392,629,428,
915,881,356,337,598,230,705,794,662,414,363,487,825,217,595,521,591,780,353,
325,629,152,792,876,501,288,363,321,844,410,814,646,063,945,884,209,852,572,
737,381,434,881,871,933,847,678,222,183,521,621,265,589,857,614,609,866,326,
174,281,403,897,099,986,358,797,979,091,004,879,284,902,330,254,726,398,480,
343,647,862,585,756,127,943,558,824,911,560,460,482,588,476,624,703,569,107,
483,247,851,735,367,726,975,957,530,451,292,992,922,893,470,572,437,442,730,
359,375,025,824,594,436,111,095,515,034,538,481,644,434,872,562,812,323,791,
559,417,395,880,903,369,131,300,703,878,661,837,192,310,529,304,876,658,862,
591,807,911,127,124,843,657,375,297,671,420,726,731,697,577,655,687,850,063,
305,840,174,878,001,959,220,705,282,775,502,161,684,311,178,532,093,094,600,
490,482,314,073,437,249,702,766,966,379,038,865,925,937,412,583,695,162,658,
881,491,163,378,203,218,460,760,193,462,160,089,076,103,014,728,721,317,052,
237,693,929,808,320,627,547,771,100,582,347,078,075,847,595,543,097,005,534,
802,843,544,613,412,697,347,403,798,440,575,076,945,157,337,096,721,694,980,
747,363,129,881,223,117,974,185,676,416,338,597,732,858,222,661,406,877,168,
378,446,997,682,238,878,226,321,456,390,047,533,087,571,030,857,338,587,290,
188,068,465,293,212,031,746,467,620,558,928,043,802,695,901,140,399,357,438,
774,926,978,664,160,685,789,665,738,269,938,070,386,678,120,581,840,371,771,
343,998,586,678,509,059,058,094,744,101,585,718,659,584,498,227,352,533,719,
780,617,649,004,582,395,912,549,559,602,842,839,243,884,733,373,412,083,512,
078,353,768,866,049,466,147,453,966,444,263,654,983,275,260,945,326,559,746,
404,556,470,939,418,460,072,052,174,454,100,034,124,441,458,647,782,176,031,
840,185,597,715,276,246,709,436,929,023,592,328,389,419,046,134,838,081,360,
291,602,948,015,436,312,870,882,322,405,804,398,014,356,517,365,840,643,545,
422,829,381,633,370,329,729,717,357,876,185,490,425,631,193,536,272,301,684,
620,299,042,750,177,324,544,487,396,959,971,562,501,273,462,102,557,737,183,
675,981,790,569,111,120,155,215,844,855,165,800,559,575,885,212,904,129,648,
603,392,304,943,763,514,224,259,510,702,307,599,257,541,963,108,134,940,169,
814,796,613,757,732,496,854,081,635,547,324,225,089,173,779,069,609,091,395,
929,867,564,331,259,567,117,848,420,030,394,050,065,469,088,263,304,851,551,
429,581,167,914,480,826,737,144,974,266,021,698,722,563,166,362,050,927,685,
324,956,207,797,333,371,779,632,952,337,981,071,682,146,576,560,882,306,925,
215,353,704,629,034,724,092,058,577,898,140,590,505,741,727,954,631,440,344,
017,585,243,359,359,366,651,985,854,695,374,648,593,419,743,564,893,335,030,
458,222,341,689,613,023,687,008,899,528,291,451,941,503,683,622,439,785,788,
414,155,561,907,477,725,051,537,955,393,322,142,492,900,195,392,652,672,082,
383,000,341,417,348,234,587,450,770,442,673,083,804,511,798,674,934,663,173,
268,162,805,710,164,932,838,839,061,484,487,595,500,953,149,813,007,597,420,
513,038,914,119,616,872,663,068,857,874,851,850,108,433,629,836,930,802,811,
357,252,970,387,301,005,083,661,955,356,118,968,631,144,985,239,818,761,919,
778,892,228,571,722,629,803,710,307,903,722,820,495,888,041,760,111,109,095,
740,444,766,547,542,467,538,767,166,103,491,282,706,636,003,970,757,721,999,
596,933,096,048,503,325,602,816,267,833,350,289,572,666,535,119,576,258,295,
293,911,091,270,515,581,842,306,360,117,080,546,573,582,871,723,617,365,077,
410,024,806,697,481,265,596,339,727,543,699,119,702,524,483,237,704,649,129,
098,980,137,037,954,942,060,576,365,737,850,083,633,438,187,405,957,485,072,
858,278,063,165,851,698,982,821,590,926,101,670,866,522,616,862,824,472,654,
312,833,811,080,245,249,370,799,872,547,972,526,738,477,769,541,575,858,337,
963,749,844,806,939,238,549,073,641,127,096,633,761,777,118,255,618,851,757,
129,317,282,163,323,058,883,755,222,988,373,346,751,128,271,563,970,975,917,
764,482,799,930,346,183,140,512,198,029,458,445,179,546,996,042,307,004,514,
226,219,943,623,379,411,033,256,162,396,331,620,192,916,278,144,157,843,776,
937,455,605,848,903,754,898,081,392,568,630,159,332,399,171,915,763,735,468,
835,235,511,481,745,847,221,213,655,522,674,282,413,421,294,396,399,067,754,
014,127,582,478,448,527,707,074,775,167,134,138,605,770,700,945,666,701,561,
382,819,166,557,188,950,157,791,876,050,395,371,121,201,714,577,799,859,192,
153,076,409,210,581,594,099,770,074,619,798,147,806,826,837,871,651,036,394,
961,236,252,211,845,331,926,576,464,273,239,414,566,487,522,810,668,148,065,
791,891,909,608,663,616,121,672,125,840,494,979,542,930,229,812,204,012,983,
943,221,513,951,988,149,576,857,825,676,701,854,870,966,069,470,201,872,936,
548,239,022,544,522,210,173,679,018,783,667,300,463,025,236,776,523,821,895,
096,492,458,345,480,734,888,767,412,928,859,418,402,449,508,068,129,800,132,
357,119,915,434,577,787,370,443,358,498,644,409,591,953,571,865,708,452,000,
746,361,310,428,349,022,385,248,895,947,628,038,140,869,223,307,123,963,413,
733,488,787,849,380,624,378,486,019,238,540,438,197,062,672,111,097,834,798,
057,958,908,962,643,982,394,652,546,316,188,737,065,320,479,017,151,481,291,
455,207,855,066,044,687,286,249,246,076,234,908,892,212,986,997,628,928,381,
903,724,168,628,220,277,563,321,730,740,101,141,287,108,946,785,605,876,526,
346,491,293,317,809,620,019,263,358,222,276,092,032,865,351,375,010,919,521,
836,766,851,636,739,487,157,278,190,436,692,914,855,321,161,474,498,869,533,
827,983,235,023,915,425,949,655,708,636,006,642,971,975,128,763,360,195,603,
554,106,518,830,277,459,266,178,689,038,763,589,559,998,085,119,435,425,763,
498,890,006,367,743,265,612,246,514,345,851,884,455,367,703,949,207,580,705,
023,452,018,153,970,412,683,343,892,223,150,132,276,685,943,799,604,554,615,
118,512,899,188,598,426,703,841,646,092,738,625,769,327,989,156,736,604,425,
199,092,738,096,299,582,984,428,039,996,061,143,680,391,520,918,672,682,480,
900,630,153,194,593,878,175,778,740,567,296,563,999,388,541,575,608,403,593,
765,513,168,719,963,446,129,860,003,077,288,948,453,736,701,748,867,206,186,
049,721,613,965,861,486,689,832,133,698,227,055,096,859,084,783,970,019,010,
783,120,468,923,208,943,295,898,016,398,003,576,247,593,209,366,859,513,469,
174,830,339,717,686,383,285,957,742,110,151,957,928,617,257,249,252,153,897,
140,720,055,193,539,386,798,265,648,552,947,031,002,056,552,742,195,352,846,
512,564,392,147,632,253,711,548,804,848,238,208,105,779,992,831,764,271,338,
372,922,558,110,330,902,887,080,899,802,959,620,495,959,312,539,736,658,740,
349,963,490,283,163,585,587,660,881,590,020,589,154,091,635,999,075,480,599,
676,045,314,533,803,959,504,290,680,997,612,063,700,799,110,322,937,086,943,
152,319,705,650,591,343,195,623,022,417,405,188,076,466,388,184,429,815,688,
392,672,312,707,275,493,126,607,893,148,010,865,382,084,233,930,994,919,183,
519,131,228,441,640,722,003,194,760,684,005,905,361,531,456,587,794,830,025,
566,242,700,425,155,983,047,180,415,379,771,849,016,568,837,377,669,770,958,
988,826,676,837,193,087,665,729,806,314,191,873,217,551,998,319,229,452,107,
977,053,198,425,138,755,676,198,210,640,840,841,376,293,676,693,372,381,225,
707,889,418,102,176,067,627,024,092,558,721,980,029,983,411,882,123,155,045,
556,255,421,968,226,409,017,018,300,134,128,239,180,413,896,001,154,426,542,
358,324,127,587,771,123,431,880,390,954,411,511,786,685,001,943,633,573,660,
233,836,628,882,438,029,688,737,180,231,810,131,301,317,168,564,228,510,135,
414,724,892,520,375,714,115,399,785,694,177,460,052,194,363,372,854,862,957,
373,798,176,007,771,608,749,787,696,996,601,090,659,178,967,422,363,849,602,
712,162,932,372,616,584,405,142,113,708,127,710,400,851,855,722,261,673,045,
440,602,400,870,747,340,691,595,239,424,353,582,884,570,559,129,733,402,816,
239,619,021,621,977,518,046,455,056,317,643,157,484,721,708,376,884,737,069,
716,813,590,622,357,828,620,669,840,085,832,820,870,843,838,132,056,622,122,
183,335,034,335,241,654,609,460,482,963,617,802,038,387,396,246,938,143,494,
223,606,887,856,654,402,655,963,977,420,233,735,044,659,555,632,786,548,279,
994,994,222,186,062,295,953,766,464,644,066,343,859,151,316,737,519,501,471,
658,009,273,695,726,641,817,481,147,556,626,236,075,554,112,617,977,579,517,
442,953,416,775,187,175,943,516,212,784,734,467,778,992,771,366,278,657,534,
569,903,714,802,290,078,962,577,444,755,477,315,192,540,443,909,751,137,987,
895,108,029,174,593,694,212,166,188,622,064,236,688,155,521,873,065,985,448,
989,527,404,290,143,864,623,202,505,524,212,304,248,066,641,774,088,373,079,
697,392,321,424,952,690,659,802,787,743,059,014,584,797,024,269,826,370,225,
942,991,242,798,109,526,764,337,397,869,932,099,437,967,027,030,457,377,325,
084,565,340,646,482,557,627,317,379,721,827,777,644,679,202,604,001,479,991,
257,865,523,160,966,196,112,639,791,806,365,478,282,013,624,817,194,685,223,
673,633,077,787,961,265,960,327,369,740,082,974,042,382,318,101,669,359,304,
540,653,569,691,831,501,497,146,178,962,982,098,656,450,035,549,800,845,566,
806,083,330,983,934,993,492,100,886,672,096,778,192,775,931,750,199,683,302,
642,859,751,892,854,553,731,137,619,431,914,772,984,014,031,435,357,805,519,
219,726,356,348,434,677,354,708,693,330,976,607,485,097,692,931,673,117,481,
161,485,214,906,487,845,446,816,840,166,590,468,464,651,999,074,682,569,860,
218,201,423,964,590,377,252,110,918,067,946,996,122,784,933,662,322,000,914,
240,805,071,457,866,667,848,921,308,372,112,086,678,495,946,204,924,381,529,
336,199,212,616,886,992,273,884,502,123,833,670,160,168,380,740,563,541,840,
893,754,635,157,397,292,645,683,406,953,888,295,609,827,184,451,036,405,761,
344,996,287,095,339,569,056,670,744,485,092,399,042,337,487,514,482,204,106,
966,351,624,486,061,162,662,002,150,140,594,669,026,313,236,656,887,173,552,
993,284,238,860,642,232,417,324,147,933,304,025,577,973,531,315,084,984,251,
510,445,612,337,877,402,393,897,265,737,428,494,740,540,914,867,183,851,610,
589,963,684,315,117,408,939,378,003,276,738,336,065,882,939,417,828,632,803,
205,857,930,900,734,944,830,808,829,996,351,956,197,009,004,112,020,296,773,
948,802,521,058,698,756,858,803,505,150,075,739,916,883,429,480,653,997,495,
484,046,311,801,865,315,092,979,852,157,875,469,101,264,108,089,598,605,404,
508,361,735,198,097,844,608,946,604,120,394,889,478,169,962,889,937,488,587,
120,448,662,348,183,474,930,972,247,603,477,244,394,796,571,676,894,491,532,
498,961,177,306,356,887,975,541,065,447,426,459,279,410,723,290,122,439,639,
691,499,625,975,513,728,076,819,238,700,972,394,069,008,540,520,145,260,539,
614,348,360,571,453,846,298,580,505,660,784,294,123,146,043,890,623,379,879,
578,543,640,070,138,339,793,007,585,440,433,863,960,035,596,927,037,882,699,
874,631,098,355,753,233,318,646,322,434,009,571,147,722,787,116,517,895,888,
096,258,197,639,384,487,249,016,033,694,680,378,348,540,285,650,544,108,410,
147,944,268,136,182,490,940,936,566,987,113,737,123,148,828,672,582,027,880,
329,874,009,874,516,780,367,614,813,679,070,161,556,771,894,024,608,551,582,
021,436,764,909,049,478,493,044,649,324,930,671,643,430,083,504,531,497,888,
191,666,683,842,380,553,055,375,656,651,043,224,025,212,934,281,589,326,643,
798,703,197,834,746,283,767,180,982,591,739,551,456,924,796,789,897,325,535,
910,785,771,494,625,276,738,591,990,411,682,633,746,552,564,953,454,968,595,
710,279,380,248,317,474,998,104,101,545,001,659,585,634,368,090,415,981,209,
044,282,065,648,478,798,997,331,743,545,175,173,931,932,612,204,371,857,318,
898,697,254,699,744,691,718,296,820,354,754,482,571,403,975,163,243,800,061,
652,067,662,625,628,024,353,780,698,100,795,482,867,225,895,800,416,790,596,
269,480,806,267,135,071,230,916,309,207,787,576,413,313,474,756,580,835,096,
957,055,243,166,167,210,556,606,104,122,520,998,261,511,847,300,142,746,492,
448,771,476,373,187,844,537,876,310,445,034,060,231,606,800,380,083,179,217,
397,823,151,489,203,022,775,184,803,502,015,289,459,562,386,903,842,066,131,
883,374,986,000,464,251,967,160,407,823,374,011,266,167,151,748,477,684,634,
599,010,514,556,946,089,058,735,581,111,844,980,895,555,503,517,306,681,976,
846,706,766,523,784,611,563,791,090,451,171,018,169,104,150,086,334,870,024,
779,234,638,477,105,278,719,111,556,245,043,662,563,483,456,815,951,819,944,
581,658,467,459,041,772,828,655,099,996,375,166,966,970,843,105,694,687,725,
997,669,400,406,892,713,135,397,535,638,067,782,722,655,300,861,541,486,777,
075,108,270,157,553,056,489,968,039,863,827,029,670,423,892,779,933,703,574,
989,589,042,650,530,661,704,157,452,955,828,312,015,065,498,462,343,181,276,
530,354,069,076,882,008,644,251,675,995,300,682,633,138,125,770,914,401,162,
851,403,636,838,642,868,237,384,128,786,873,222,013,992,927,963,568,178,697,
594,509,466,445,624,938,129,380,477,082,417,058,821,383,422,481,925,583,788,
731,565,403,011,709,889,171,351,633,488,760,270,804,236,153,908,536,218,062,
989,428,929,451,094,262,042,038,404,644,500,657,146,058,034,295,001,107,267,
871,146,642,544,799,877,840,717,503,518,590,175,842,692,999,577,565,173,686,
970,802,086,982,185,873,355,249,811,964,166,405,908,123,467,766,031,585,287,
071,916,974,463,017,850,684,085,605,287,319,043,238,919,291,293,362,090,248,
748,988,643,787,829,763,568,789,973,932,854,367,825,434,419,281,182,461,798,
537,670,771,248,927,156,913,442,186,594,419,134,383,627,972,944,684,518,592,
155,245,409,593,547,484,598,923,350,444,471,129,281,153,583,144,476,350,875,
067,521,451,407,382,586,632,560,716,653,293,988,747,425,624,317,611,628,816,
791,677,408,622,249,158,006,689,476,952,845,702,107,700,722,949,709,336,940,
846,434,077,266,139,227,031,525,184,993,238,828,742,627,499,205,870,377,244,
838,648,092,241,301,378,051,203,693,747,447,800,592,083,621,317,897,701,111,
978,432,542,030,143,136,527,504,235,621,207,201,931,139,045,621,851,049,614,
724,080,452,442,391,283,455,723,331,797,134,552,053,456,460,678,149,965,547,
635,704,805,230,773,957,474,750,573,607,069,502,567,385,462,391,877,400,986,
281,139,855,403,297,578,678,930,377,269,864,404,007,223,698,460,631,225,908,
240,132,324,045,891,753,616,270,169,971,409,581,784,422,499,793,345,880,788,
854,607,742,716,856,308,813,789,240,638,134,561,722,664,676,484,191,813,193,
318,775,376,238,885,921,254,831,103,555,238,113,727,707,464,577,911,172,669,
827,246,019,400,122,045,396,730,127,250,096,699,458,317,403,113,826,073,362,
475,810,048,554,581,872,593,495,736,742,897,137,562,694,624,542,712,690,730,
809,749,143,575,638,950,540,697,600,010,431,211,700,987,104,316,127,365,381,
518,203,649,856,173,852,183,278,013,620,128,132,768,103,605,219,846,823,571,
709,238,849,740,630,028,438,251,008,883,641,652,641,605,845,999,140,001,616,
655,333,968,238,030,353,703,067,706,802,338,602,014,265,982,185,095,274,133,
643,021,859,660,377,015,501,221,016,681,299,501,256,246,475,087,038,594,313,
311,080,740,083,483,204,138,901,042,646,218,899,360,576,674,567,181,903,471,
174,679,784,925,871,183,799,652,936,204,696,842,437,067,043,397,895,645,056,
247,726,232,704,202,780,935,506,577,754,237,539,169,867,126,222,746,072,408,
930,457,087,420,266,411,171,986,494,507,471,338,062,321,923,707,012,023,734,
091,535,442,083,029,533,343,522,080,586,387,261,016,526,777,645,843,452,929,
990,409,814,972,068,244,166,422,698,336,022,662,446,937,634,735,250,236,562,
587,312,862,076,052,996,393,890,547,604,073,249,474,153,121,113,816,293,241,
703,342,148,748,199,056,595,341,565,882,192,020,109,407,086,243,574,648,340,
482,735,942,116,380,455,165,903,698,087,972,686,229,678,279,738,530,155,443,
382,011,245,108,006,281,359,913,181,566,397,251,729,034,755,357,042,692,499,
322,981,870,070,764,349,158,596,842,103,474,940,838,807,742,154,949,500,678,
349,858,306,973,066,574,081,315,528,835,637,376,689,280,982,493,682,588,928,
927,419,177,850,324,581,581,183,556,937,294,120,344,987,788,592,797,313,557,
418,446,233,962,508,490,449,961,065,560,258,304,252,434,134,856,822,447,721,
228,179,402,249,205,952,760,419,443,361,842,622,013,966,115,133,740,274,250,
504,616,162,548,357,385,661,343,825,895,654,968,526,888,474,499,450,573,263,
774,082,136,940,397,361,042,794,963,341,319,903,543,202,724,981,024,530,760,
930,757,286,620,245,304,722,701,413,836,772,853,518,127,257,213,686,632,960,
047,569,235,356,122,604,108,574,672,085,101,969,174,881,617,006,816,764,012,
269,764,032,705,720,626,550,508,970,149,086,066,208,942,232,738,717,592,760,
583,455,337,746,202,178,376,030,220,666,135,783,189,478,709,262,561,390,960,
116,849,872,581,485,030,650,739,818,343,345,735,330,679,591,230,464,526,881,
343,725,068,177,209,241,960,851,611,972,273,446,208,323,375,237,086,993,988,
939,123,823,441,812,123,599,710,288,925,288,318,568,276,318,176,191,249,505,
292,732,042,368,895,302,404,913,522,611,237,051,572,633,947,749,504,332,851,
913,073,367,418,974,453,883,342,295,557,764,831,096,689,718,078,131,437,189,
626,363,463,085,517,937,987,189,281,612,253,623,114,920,809,467,125,889,911,
025,454,514,823,784,483,266,133,892,593,382,620,852,542,362,525,598,419,504,
071,605,683,498,988,157,249,927,595,131,034,300,373,249,285,083,950,960,178,
847,000,148,464,239,963,569,759,154,170,864,518,722,396,653,118,602,688,679,
037,322,198,641,921,778,636,680,458,647,456,295,867,584,973,204,115,088,319,
672,379,929,645,276,260,785,830,475,409,876,288,416,676,953,898,505,588,317,
346,232,855,270,096,930,264,435,508,079,139,958,965,197,950,109,086,776,148,
120,040,421,156,697,461,116,080,138,804,287,748,035,665,804,620,700,573,953,
045,329,053,806,066,334,370,819,090,677,618,371,700,601,741,828,372,386,786,
402,002,218,591,676,385,139,966,324,690,960,011,176,352,972,917,028,768,408,
260,024,621,050,578,915,282,018,169,817,468,143,885,149,295,136,067,633,836,
653,134,737,136,611,126,699,272,730,371,180,222,510,557,378,245,111,983,023,
670,938,341,686,835,869,973,480,543,054,808,758,990,647,664,287,413,268,266,
934,093,367,414,099,176,164,929,039,448,493,527,227,143,316,172,142,589,684,
740,725,449,809,244,727,065,671,179,647,959,808,831,057,544,512,787,513,824,
660,867,996,744,728,370,665,628,555,861,833,085,796,287,255,321,516,715,191,
414,545,521,517,955,597,184,288,845,236,655,056,143,371,966,725,255,476,661,
312,780,485,532,233,446,350,666,851,196,165,464,891,887,633,666,816,629,077,
823,061,303,307,241,989,752,488,263,054,433,924,817,614,336,019,437,529,456,
185,020,667,450,790,789,256,385,077,654,200,643,631,813,121,379,105,298,914,
661,030,479,238,021,151,926,042,200,600,299,601,240,599,059,515,143,843,914,
870,860,862,641,508,128,888,314,838,080,050,378,848,338,534,729,814,163,157,
701,219,187,602,622,578,864,376,710,947,795,993,815,504,495,519,939,480,948,
122,937,332,841,235,113,498,987,237,055,717,859,755,931,687,925,448,296,600,
983,823,867,763,286,566,819,463,537,493,086,455,752,252,945,647,136,099,067,
269,821,944,911,398,534,520,653,348,929,481,510,284,632,745,252,640,700,842,
793,801,663,840,196,803,344,722,544,827,905,262,947,241,770,792,324,321,386,
692,394,800,716,332,244,979,538,368,539,464,412,856,173,176,377,488,977,813,
896,889,027,714,175,600,949,788,385,406,568,722,751,289,830,161,644,594,439,
918,095,350,686,566,614,351,964,320,691,564,798,177,352,424,711,608,289,071,
000,324,753,769,304,168,174,911,523,641,287,893,957,668,807,892,281,468,380,
053,736,208,692,299,169,996,181,550,712,825,651,555,805,673,950,694,092,292,
679,843,100,431,293,372,944,822,064,788,882,241,315,943,279,649,184,365,293,
230,246,340,172,760,229,851,123,596,754,687,683,704,244,268,365,966,879,483,
553,771,920,862,815,710,179,689,756,369,561,573,821,401,459,522,481,833,327,
481,722,049,033,242,817,713,269,397,751,431,290,887,699,932,070,270,091,154,
057,656,847,630,804,482,295,834,865,655,447,279,026,041,808,180,545,790,560,
570,465,616,211,806,581,503,676,992,658,084,051,373,275,437,296,455,768,588,
904,809,634,101,929,250,794,128,393,738,731,676,877,001,154,098,757,767,684,
089,444,588,450,653,800,592,776,727,557,788,461,231,385,831,188,539,349,535,
298,142,231,482,468,593,857,169,631,806,650,125,051,081,843,245,930,169,690,
242,101,052,399,930,070,975,295,167,499,494,673,170,975,130,496,369,264,682,
321,619,250,028,933,194,511,163,181,630,485,411,953,744,862,680,995,140,735,
120,059,013,177,509,049,445,066,542,873,840,606,267,054,646,292,083,504,268,
438,131,879,332,871,750,701,980,760,521,341,992,756,894,095,889,719,903,391,
776,564,946,997,782,772,062,798,552,160,297,596,491,284,152,486,726,346,835,
598,258,540,888,194,136,589,625,033,911,833,792,481,786,782,117,460,853,201,
338,590,370,076,759,952,230,330,909,126,434,040,892,395,798,652,134,835,498,
842,885,514,941,425,562,673,128,989,012,057,214,813,341,081,036,575,505,231,
667,749,132,932,806,058,944,146,699,012,192,460,149,560,808,145,615,674,534,
760,404,909,330,082,125,585,292,385,295,020,983,811,842,741,077,297,756,459,
230,529,893,377,131,860,220,311,885,222,061,012,676,374,039,228,802,410,974,
355,843,593,969,643,918,320,831,895,214,078,037,408,276,923,641,527,696,471,
763,657,755,739,011,063,794,023,473,977,033,952,420,196,373,040,834,771,840,
756,734,459,929,992,285,918,478,682,314,937,385,001,850,108,997,634,039,788,
983,793,433,422,440,376,973,590,184,825,387,271,648,111,184,403,361,099,541,
197,059,616,683,609,281,918,229,026,975,464,247,832,736,947,225,268,437,121,
382,690,405,929,447,680,974,376,701,828,001,847,482,376,348,101,482,220,611,
529,565,162,515,572,825,541,359,965,660,257,129,996,029,970,609,574,020,003,
047,585,364,354,970,758,474,087,434,883,113,279,401,019,643,827,803,228,602,
764,702,109,783,694,098,422,779,605,744,503,791,927,375,568,483,488,282,940,
201,368,643,485,312,720,556,312,670,823,486,320,957,522,358,263,945,087,051,
577,481,358,040,016,125,583,101,990,386,806,235,952,021,675,877,823,011,936,
796,945,161,330,923,461,670,471,940,819,271,239,281,809,125,034,061,509,858,
317,096,864,141,687,507,763,023,579,945,794,625,902,454,715,062,165,402,074,
086,124,979,095,474,730,295,406,714,080,443,474,013,263,152,311,602,780,951,
183,855,934,887,556,724,792,246,219,512,096,201,053,919,755,118,092,983,540,
565,010,226,921,313,050,239,556,522,517,106,315,843,185,219,635,247,251,936,
485,193,131,332,898,263,006,014,533,484,298,059,489,114,204,017,727,470,942,
630,902,625,076,422,893,496,381,780,241,986,187,705,258,598,889,348,263,749,
904,382,926,924,116,325,226,579,663,066,435,470,012,362,728,425,265,884,685,
062,543,191,663,575,970,589,941,676,965,864,931,416,808,707,462,505,590,696,
022,203,265,701,485,439,352,337,447,016,122,852,746,108,051,639,793,624,408,
858,743,335,660,849,712,454,767,546,482,669,888,062,421,606,586,022,087,488,
736,112,547,271,077,232,651,252,527,240,435,549,951,652,596,876,270,166,357,
323,584,405,755,162,109,433,603,475,679,088,282,523,609,629,691,202,474,045,
902,551,521,981,324,867,302,309,352,054,508,791,718,384,328,668,196,758,877,
942,127,227,404,680,011,703,123,137,387,159,825,869,650,794,240,821,722,532,
822,545,433,973,774,666,457,290,438,651,686,685,569,401,234,622,681,639,943,
165,052,217,035,281,009,769,825,671,274,226,487,576,126,945,350,743,071,416,
478,278,787,764,095,108,579,979,752,826,892,255,352,394,874,408,984,717,888,
637,437,028,749,388,651,427,639,441,433,009,721,678,759,129,995,011,218,087,
813,019,489,414,119,347,514,217,128,200,926,076,751,033,286,815,710,036,413,
745,699,391,596,159,140,731,832,660,516,817,851,325,433,997,206,793,063,137,
845,609,487,658,073,913,831,366,889,460,599,081,500,196,119,714,810,657,835,
464,076,992,317,898,203,386,281,034,782,684,267,433,878,168,073,890,093,613,
535,025,104,539,084,645,631,375,398,837,026,253,996,557,266,434,757,322,975,
091,078,585,752,598,881,976,291,181,540,613,000,813,529,469,495,318,147,875,
565,237,008,356,446,782,462,627,711,931,505,748,057,255,699,037,656,716,700,
172,021,979,044,791,794,988,917,572,445,915,888,649,051,120,353,346,062,372,
976,236,134,813,394,514,522,562,303,757,472,877,707,891,207,154,007,455,349,
992,669,566,377,126,684,015,029,261,536,327,145,233,988,333,723,248,013,056,
379,470,690,636,198,861,539,177,928,632,328,236,741,938,483,413,107,857,677,
722,780,836,733,318,043,189,011,402,195,273,530,172,975,663,539,167,211,510,
104,988,398,519,453,484,297,003,716,545,654,070,664,559,312,091,880,676,952,
677,671,129,991,001,105,154,701,592,510,411,688,323,962,676,576,116,945,160,
345,290,198,314,141,896,193,596,883,970,084,493,597,278,104,088,438,058,784,
643,165,498,952,181,819,831,858,347,795,737,529,851,339,100,174,370,621,003,
712,715,252,620,993,232,036,488,204,487,336,425,674,586,268,026,636,570,325,
642,860,393,975,019,312,467,873,437,857,486,023,688,055,368,572,826,161,614,
401,424,960,395,056,030,058,552,005,534,454,929,893,515,666,798,524,510,044,
447,596,466,467,378,529,169,687,165,731,944,992,978,248,042,267,488,315,913,
181,215,796,661,884,117,858,845,617,181,350,077,706,183,563,104,991,642,638,
483,752,193,022,070,486,541,240,968,405,914,196,692,435,824,480,267,871,830,
505,204,705,849,637,511,793,189,468,245,921,599,211,920,289,895,990,622,487,
189,343,330,410,022,131,516,583,667,604,521,379,364,526,906,986,602,417,190,
909,775,817,384,961,794,744,287,733,202,642,684,161,820,038,372,466,602,596,
874,514,411,647,425,114,197,285,726,265,047,686,852,652,733,262,226,004,709,
094,246,249,749,527,960,705,446,621,816,064,606,913,921,386,107,968,866,728,
185,874,828,960,832,463,848,409,443,862,828,779,684,721,723,458,054,696,159,
142,363,192,676,950,261,206,422,942,058,018,494,205,686,622,304,323,211,180,
619,561,813,370,428,658,151,350,892,080,949,176,926,441,622,748,855,913,105,
737,702,768,787,249,652,025,995,129,312,220,973,928,747,328,730,062,520,916,
214,662,899,647,718,954,363,084,728,113,093,993,294,428,456,870,200,123,314,
791,695,834,763,991,938,670,898,890,366,909,452,551,215,168,810,456,577,061,
086,756,512,895,418,296,597,400,359,899,098,710,009,393,995,490,871,244,665,
628,573,709,821,414,219,121,212,844,118,099,245,428,298,385,303,501,273,628,
926,845,304,986,239,403,104,443,598,985,523,116,096,049,156,346,173,401,756,
573,264,303,068,116,709,349,767,943,302,558,563,983,839,514,546,987,526,078,
416,601,147,808,932,865,725,311,427,969,269,595,165,359,881,779,523,282,142,
031,517,736,420,895,644,587,943,326,997,206,319,433,403,249,307,034,239,621,
098,588,891,511,594,535,284,458,595,513,492,511,406,268,590,049,467,457,127,
602,918,149,453,766,358,311,986,436,020,423,363,012,863,272,258,205,667,453,
526,557,664,084,962,583,446,681,951,517,887,027,461,761,310,741,155,053,248,
353,519,987,271,898,866,441,237,973,939,850,175,305,037,874,627,849,141,281,
148,221,663,358,748,069,874,073,979,540,046,842,862,865,667,943,865,425,431,
859,310,617,327,875,195,557,854,741,373,298,773,730,100,388,922,613,997,057,
265,664,819,725,261,648,513,416,323,449,327,487,194,331,589,639,215,856,475,
049,989,761,629,066,904,126,712,380,840,598,410,285,958,076,194,988,031,100,
528,912,556,517,486,898,114,448,993,848,402,392,557,445,841,404,498,933,039,
785,752,169,777,753,744,190,535,974,745,830,494,233,782,416,588,920,399,555,
074,340,703,207,836,432,855,412,987,544,328,409,298,741,845,890,257,078,549,
820,074,958,072,496,517,603,627,800,703,509,972,225,827,037,499,896,379,199,
758,137,466,986,957,985,579,683,025,003,999,573,558,046,558,409,389,529,996,
285,708,005,065,973,481,578,798,207,652,050,762,764,898,628,717,190,002,423,
587,021,135,064,085,086,918,121,828,004,402,848,976,048,183,795,116,695,945,
519,752,875,542,272,699,677,846,229,347,650,328,152,645,079,639,341,541,431,
077,049,089,021,666,667,372,932,924,536,867,601,113,256,633,629,673,745,245,
626,711,180,533,450,409,000,373,020,609,230,448,066,960,331,638,440,360,030,
275,738,241,313,795,644,740,319,039,894,158,559,129,897,706,707,194,276,532,
903,373,022,379,605,504,780,115,367,239,693,925,229,766,034,280,717,682,145,
037,960,858,377,685,751,718,987,810,569,641,282,623,206,452,053,581,436,915,
464,861,440,029,076,819,338,660,170,597,136,213,500,321,462,713,766,535,916,
192,275,630,599,574,956,792,501,702,025,929,429,852,167,617,566,874,712,539,
445,915,689,076,497,663,883,163,502,041,097,109,551,223,732,589,321,309,290,
016,638,326,309,785,162,219,590,382,634,596,535,717,433,828,069,151,967,977,
252,064,782,745,292,368,797,832,471,059,124,134,721,100,996,475,610,548,870,
157,401,407,211,121,922,599,774,881,553,338,839,529,298,477,572,592,520,893,
988,480,946,151,384,530,452,591,797,924,244,587,074,576,851,496,088,482,489,
426,675,120,172,995,273,533,149,160,347,208,662,524,164,757,018,387,387,870,
385,676,766,086,414,519,372,098,682,746,704,869,631,304,274,905,922,397,293,
910,491,026,911,981,713,826,086,031,496,765,862,658,033,181,588,506,505,145,
157,311,249,675,780,775,028,646,602,238,207,956,105,408,767,831,288,211,122,
696,134,572,281,513,630,677,669,245,796,572,275,576,152,553,734,716,627,140,
703,037,412,282,300,734,695,215,748,177,946,790,474,395,617,336,668,270,785,
976,548,558,303,773,657,086,033,838,336,252,701,768,126,281,525,554,516,776,
850,922,688,830,651,817,990,963,035,940,213,119,989,926,973,790,243,403,479,
208,421,970,147,692,569,130,640,030,008,406,452,962,149,648,888,388,039,766,
858,645,910,220,525,144,040,920,940,374,385,484,486,953,249,466,348,573,817,
999,699,585,968,349,272,924,486,493,913,946,538,315,509,319,576,187,553,580,
656,935,209,910,492,416,801,709,424,726,450,380,366,959,042,137,813,451,047,
292,647,301,732,874,381,721,581,657,052,733,313,051,790,194,882,976,100,280,
692,458,689,739,076,535,273,658,501,784,148,790,993,511,057,795,752,180,944,
393,400,855,052,633,526,944,165,703,297,177,995,455,396,579,593,442,335,355,
063,189,063,184,432,495,380,762,645,952,401,618,241,716,984,657,683,244,912,
290,514,607,888,786,223,337,183,562,950,402,011,318,765,513,363,769,412,783,
572,090,726,705,418,085,461,359,763,398,734,518,635,624,954,511,732,306,282,
020,215,608,802,407,319,140,137,659,443,172,861,785,066,958,032,254,767,572,
324,900,604,269,979,694,133,454,334,591,803,364,179,643,472,213,176,959,586,
250,195,525,195,736,826,556,364,143,638,165,583,472,839,316,679,053,495,243,
052,376,795,812,173,219,203,519,347,920,742,576,116,115,527,587,026,069,593,
885,235,067,393,135,881,512,349,000,368,081,122,190,256,648,226,945,143,811,
377,747,576,540,206,139,569,736,224,222,491,311,149,273,766,007,115,936,702,
229,983,125,626,343,528,995,595,052,868,970,113,099,139,879,509,469,584,293,
917,482,453,388,057,007,695,053,240,707,256,621,454,000,799,732,289,039,474,
197,512,675,129,089,283,849,059,634,155,461,964,161,144,355,550,032,373,130,
945,141,613,756,159,470,510,413,270,001,684,052,379,970,488,962,443,427,350,
135,014,818,303,273,586,554,990,528,275,900,113,779,625,498,658,055,590,470,
837,521,612,152,345,143,318,320,891,578,488,266,473,194,937,123,122,872,589,
526,804,793,067,870,145,230,740,092,546,038,572,297,774,531,811,958,762,161,
887,356,217,432,805,007,953,639,754,842,202,006,521,189,019,243,121,082,758,
226,208,060,159,016,349,651,343,241,687,887,388,819,271,389,146,055,837,601,
652,381,715,901,277,670,945,124,549,905,229,243,602,356,550,529,972,775,504,
319,688,063,206,083,076,858,308,671,608,228,611,236,214,807,890,276,898,189,
697,231,875,392,857,386,481,118,909,746,537,634,296,108,410,975,801,252,758,
240,939,765,521,931,932,513,823,884,547,476,449,121,490,604,805,929,802,764,
518,901,402,295,918,199,595,121,968,944,520,191,591,589,208,020,069,735,017,
726,142,438,447,248,101,677,803,895,545,247,353,865,183,334,236,314,732,050,
234,319,771,590,007,347,484,526,353,448,660,749,245,057,307,456,681,412,064,
524,628,334,742,224,650,360,004,283,740,117,938,689,426,001,463,725,452,729,
296,573,181,213,295,389,467,113,128,018,243,713,831,180,812,567,255,679,012,
946,092,043,487,599,812,132,018,676,083,936,549,989,407,698,037,029,641,695,
359,827,126,889,177,035,019,072,458,594,580,100,517,123,465,968,320,178,296,
136,713,793,356,380,951,895,842,019,899,736,643,724,936,561,814,083,209,975,
972,760,688,957,005,648,331,457,623,419,031,349,365,127,579,769,672,402,215,
511,564,838,852,362,653,110,083,730,123,208,457,041,427,286,609,520,976,612,
341,427,690,085,111,853,050,942,585,168,373,344,397,081,559,855,223,803,244,
516,084,250,800,307,242,205,893,540,821,335,422,467,106,977,041,880,467,631,
418,028,499,491,842,018,302,502,646,501,601,243,170,603,196,085,152,982,249,
289,605,649,999,014,438,969,392,927,851,350,807,979,282,311,852,182,843,821,
239,455,818,875,214,822,090,289,554,492,816,746,481,463,518,805,716,316,892,
200,563,012,445,672,533,432,078,666,216,052,571,825,473,461,637,369,373,801,
717,423,596,381,733,498,146,735,081,594,178,999,120,297,797,854,896,957,546,
028,804,980,541,827,511,925,730,328,234,940,352,276,983,983,858,950,153,943,
712,770,462,194,453,841,743,675,326,030,920,800,876,099,070,913,280,816,084,
125,329,576,310,518,628,430,830,843,037,400,899,166,771,512,588,895,181,989,
678,580,002,758,133,495,286,527,201,522,839,864,932,429,728,209,728,363,692,
027,738,364,712,112,610,245,934,807,468,429,264,291,609,610,094,157,545,335,
545,966,882,719,625,822,644,673,843,179,232,700,930,581,054,185,795,225,059,
277,533,164,558,498,643,667,529,693,552,305,170,698,122,318,715,300,334,452,
553,425,603,185,315,317,196,442,055,984,908,163,369,277,235,854,769,890,795,
298,806,316,994,182,464,905,210,612,564,910,904,082,898,343,887,868,214,879,
947,578,982,093,753,395,791,571,235,676,125,852,099,486,006,855,945,512,818,
425,411,459,812,581,664,090,754,278,432,048,246,220,376,907,062,107,988,609,
861,422,507,525,689,008,054,196,099,917,633,364,236,558,204,676,549,223,866,
456,981,102,080,558,460,308,814,836,490,627,734,918,405,108,361,613,855,819,
186,686,877,108,931,870,890,648,961,061,636,414,836,296,396,446,297,050,568,
727,326,523,948,423,831,676,174,612,562,240,254,144,646,240,465,578,795,025,
728,236,329,457,295,358,567,570,130,517,440,687,457,976,397,287,267,854,348,
360,963,403,030,582,050,494,257,224,947,155,502,314,839,022,549,244,469,192,
759,643,419,657,492,405,506,936,914,899,241,881,462,124,159,401,999,392,415,
819,549,132,279,485,722,927,775,828,475,923,152,422,486,275,299,496,001,028,
632,268,503,446,730,548,757,280,039,426,475,084,275,679,366,343,338,367,651,
479,340,066,651,653,775,340,008,021,696,201,280,154,766,503,459,827,342,310,
242,230,739,818,180,937,483,913,201,174,335,661,972,873,074,769,595,936,906,
912,123,359,649,515,950,016,117,188,279,565,166,796,530,279,475,860,962,528,
484,496,396,136,111,244,645,686,862,281,954,293,653,003,367,123,951,782,933,
545,413,639,166,324,195,303,943,204,299,149,939,024,155,251,565,391,561,226,
053,535,270,461,474,752,907,491,584,934,939,089,826,059,428,197,108,899,588,
169,156,909,346,713,869,215,954,545,505,178,452,099,924,579,246,360,679,628,
526,176,432,210,562,151,241,973,597,823,035,878,647,814,273,663,246,954,074,
123,239,600,727,663,567,750,485,510,944,748,114,311,599,012,952,598,157,673,
036,293,927,616,631,627,520,362,591,366,595,146,895,785,132,614,514,814,682,
183,930,953,140,569,310,982,444,070,288,171,285,586,955,173,739,003,744,675,
450,386,139,974,446,327,691,255,963,577,731,441,240,963,254,794,671,016,607,
125,707,412,180,864,848,085,546,713,384,707,814,793,631,076,448,791,778,995,
639,024,593,242,074,651,119,514,441,095,936,644,279,031,955,673,740,347,126,
374,785,876,698,069,138,877,303,534,122,788,817,537,883,597,979,481,369,201,
148,546,377,861,765,740,297,306,423,963,077,225,091,569,670,659,989,008,274,
690,319,334,453,971,520,994,977,366,208,052,077,007,293,168,551,144,015,333,
007,402,670,676,625,125,207,743,258,382,008,319,969,160,349,930,020,580,639,
186,609,368,902,101,994,045,014,077,388,398,013,049,515,431,666,715,864,523,
029,706,095,965,447,943,313,743,225,638,522,559,587,216,396,509,985,056,468,
442,073,421,880,381,580,591,106,455,908,456,895,784,760,297,571,905,701,809,
415,774,265,796,934,957,807,573,299,910,655,978,861,571,846,137,088,381,872,
576,830,290,441,746,369,759,132,152,317,767,935,869,182,081,911,523,158,659,
526,658,076,723,379,244,927,165,852,970,213,745,326,009,748,058,601,674,831,
605,138,394,841,671,779,677,459,961,303,143,263,358,454,541,250,710,008,683,
755,707,074,488,797,907,702,510,820,954,274,934,410,239,146,328,531,550,306,
752,597,847,833,234,994,112,140,484,465,483,236,511,047,923,610,236,458,727,
469,037,038,174,743,996,540,355,152,472,748,235,921,745,947,803,737,184,518,
142,181,597,839,149,603,132,368,497,417,427,545,179,303,741,305,915,530,910,
536,300,101,981,869,190,080,552,333,764,451,288,021,612,103,968,825,585,680,
564,387,267,797,712,650,424,713,831,636,386,673,477,925,793,022,049,302,952,
635,826,732,454,867,138,010,279,888,473,423,714,512,348,280,220,552,435,705,
787,908,429,726,355,546,855,887,476,240,736,591,036,184,845,141,763,725,692,
414,408,615,392,473,362,576,323,319,936,211,760,450,960,540,559,425,040,358,
483,016,330,133,884,025,900,051,982,587,525,006,692,555,146,899,977,916,469,
290,295,520,349,628,228,669,843,718,052,783,053,000,043,249,249,815,591,468,
065,979,504,392,522,334,230,943,358,907,892,652,334,377,125,138,067,501,409,
983,558,642,009,695,148,377,605,657,808,284,777,232,186,724,955,567,601,640,
795,196,958,951,494,374,065,256,271,354,940,736,708,527,704,157,371,382,069,
514,114,817,527,833,530,611,762,726,527,323,710,993,729,963,260,898,685,924,
749,689,695,861,290,509,320,848,735,634,860,512,746,782,090,109,910,981,831,
828,340,965,939,578,959,562,935,540,843,997,842,534,743,628,023,050,557,210,
154,321,947,552,197,863,012,218,598,845,473,312,601,967,573,066,454,501,364,
382,589,684,310,084,295,846,844,468,006,093,654,425,271,755,179,800,971,399,
345,512,155,452,372,975,772,232,694,465,099,641,414,507,143,411,337,682,095,
283,199,855,540,311,608,076,415,087,865,570,363,367,326,217,548,344,684,862,
913,086,869,648,559,442,004,783,083,276,610,065,915,220,159,056,051,933,126,
988,287,189,332,940,131,835,292,635,937,355,256,004,870,179,737,874,373,856,
601,623,836,865,647,586,355,628,033,103,616,677,528,628,288,043,743,411,545,
270,029,318,903,813,938,788,971,882,249,567,538,570,944,473,881,872,912,639,
229,455,616,393,047,614,579,312,508,186,427,206,279,404,297,803,171,460,139,
657,022,487,041,886,910,286,797,978,419,622,067,696,974,669,663,713,898,618,
195,306,937,126,896,309,779,691,644,078,375,064,925,012,244,975,126,456,638,
740,519,576,855,158,538,644,088,495,921,838,325,490,310,103,214,608,831,947,
477,988,537,940,725,810,857,376,019,975,250,706,985,557,078,611,964,261,961,
555,012,984,621,852,937,445,509,518,887,851,127,878,548,510,806,571,427,477,
124,390,261,499,587,316,239,016,172,167,046,841,463,237,822,332,992,682,458,
344,696,687,830,932,500,529,977,492,959,650,605,665,768,303,129,122,810,906,
854,840,953,178,393,493,287,953,702,805,407,560,167,975,249,481,443,284,151,
698,280,917,496,111,162,980,758,805,296,923,643,688,851,146,582,239,738,899,
813,187,660,259,831,524,453,471,661,638,128,931,260,779,465,656,685,551,751,
242,448,351,763,212,439,709,106,460,175,371,404,708,663,203,902,658,111,892,
267,884,576,161,699,981,035,458,403,945,566,720,751,322,532,616,552,312,824,
395,896,945,448,301,509,899,234,151,748,298,291,996,442,148,087,254,393,348,
552,670,489,862,978,407,049,273,203,051,527,632,345,917,141,521,331,665,629,
781,320,042,363,290,541,166,926,397,475,275,321,881,479,717,218,939,612,012,
166,853,723,442,031,313,449,721,974,036,655,922,825,187,110,391,933,977,768,
983,308,715,340,172,041,605,962,400,447,195,131,567,076,235,035,751,575,435,
442,874,956,763,002,244,856,072,301,404,698,634,108,457,098,201,321,709,159,
539,473,191,812,889,109,573,495,296,009,527,962,854,505,957,424,731,135,344,
492,031,409,478,795,161,305,355,588,740,171,478,978,784,189,416,467,707,777,
157,595,915,338,197,690,672,003,975,452,268,122,320,106,168,652,219,552,797,
390,605,985,948,592,149,348,215,890,323,943,255,715,275,969,009,605,550,978,
673,967,759,349,476,341,038,857,464,613,349,575,979,126,535,778,109,174,998,
803,867,911,388,130,933,308,261,017,624,847,390,869,810,519,090,030,739,551,
814,439,935,622,652,266,956,097,399,819,634,478,917,421,923,381,509,680,436,
122,787,383,088,683,011,489,956,574,912,836,881,859,851,647,198,208,019,646,
348,876,285,210,571,553,551,867,410,758,167,032,108,120,607,340,925,869,411,
752,744,828,323,632,120,624,555,562,128,658,495,381,133,660,129,260,715,682,
096,988,255,875,840,879,222,794,639,393,520,702,364,632,094,571,165,122,747,
925,726,917,258,953,765,757,429,881,242,727,818,997,871,711,172,935,253,644,
555,882,046,863,865,907,709,572,991,281,949,846,604,430,559,404,059,758,300,
124,195,221,496,483,269,689,525,244,156,735,739,954,977,599,568,230,240,631,
997,017,079,986,428,338,360,382,454,360,809,182,654,785,214,351,015,523,639,
690,343,210,940,906,765,999,788,543,421,189,453,207,303,565,066,465,323,064,
687,199,032,631,437,324,868,125,809,079,565,494,047,575,041,461,978,011,306,
525,577,371,533,210,407,402,396,133,846,957,012,560,356,192,435,540,529,920,
218,496,071,889,091,291,458,293,762,834,923,257,244,399,044,736,332,710,305,
144,597,302,617,291,889,196,081,150,978,376,253,946,477,000,732,290,408,397,
431,882,865,239,358,130,378,804,582,595,510,592,323,443,139,776,869,289,063,
800,356,506,085,801,642,980,893,762,475,542,400,795,221,307,888,800,701,771,
571,127,732,286,119,447,182,108,538,861,435,549,293,934,196,777,525,257,157,
898,539,518,849,687,771,144,221,073,272,097,832,754,210,189,484,124,923,187,
736,618,786,063,491,315,216,697,666,744,087,438,194,289,384,853,573,228,007,
115,279,971,282,961,321,612,183,299,418,299,166,536,710,921,801,028,719,640,
408,149,521,082,389,851,392,772,254,033,531,498,313,583,654,622,426,747,831,
098,117,875,268,384,322,584,262,855,794,265,298,149,504,265,709,567,659,932,
870,467,375,244,906,851,505,833,883,495,299,541,355,724,465,534,140,545,950,
683,651,752,706,378,104,019,899,336,569,970,696,946,880,594,195,579,102,446,
569,368,920,804,787,001,919,938,683,653,791,986,490,333,117,313,181,109,325,
047,950,992,382,977,073,799,705,254,134,510,423,942,048,011,088,247,251,791,
097,852,091,767,988,821,593,125,032,124,947,694,933,888,226,558,532,491,312,
035,852,796,730,209,816,919,605,614,408,195,172,063,982,184,489,188,955,998,
751,024,583,599,538,740,734,924,174,014,428,057,811,263,743,811,011,251,007,
817,774,999,817,515,874,902,944,448,338,772,542,774,144,235,130,014,484,928,
312,968,367,070,226,720,588,958,364,344,971,514,539,542,511,003,287,918,833,
987,482,829,449,210,190,543,778,337,916,608,249,892,513,274,177,485,146,399,
384,129,336,182,948,993,888,309,452,545,217,817,346,896,427,000,553,999,947,
547,681,157,528,900,534,949,272,106,225,056,036,802,571,850,787,991,105,611,
213,468,123,000,401,269,214,841,703,564,736,475,931,476,604,206,519,299,347,
198,351,024,037,360,324,038,478,813,593,298,184,490,678,903,924,239,599,851,
905,428,282,378,912,708,283,866,097,567,112,975,506,093,202,833,818,686,415,
214,353,426,631,263,684,902,468,607,408,193,710,313,290,551,380,504,468,129,
899,491,420,693,405,314,672,555,004,261,421,252,586,601,147,613,393,661,730,
381,332,882,250,399,755,973,353,198,769,622,640,270,893,452,942,055,644,641,
669,615,389,647,909,492,916,026,264,199,149,428,512,284,519,002,340,674,879,
006,627,498,679,330,710,101,433,481,409,196,447,157,323,835,443,875,391,465,
219,503,367,552,596,998,356,055,366,246,205,601,669,554,241,885,383,446,242,
307,566,281,787,468,024,813,441,954,034,739,663,403,262,409,499,181,782,788,
994,370,113,039,052,038,105,018,512,753,173,034,857,454,172,579,457,684,556,
509,026,620,824,879,538,503,753,313,281,536,244,952,549,740,825,953,216,032,
340,500,069,262,759,221,381,478,990,209,095,098,596,342,571,277,309,678,054,
623,056,949,097,053,960,904,431,584,836,447,249,184,363,204,382,252,064,690,
978,517,299,355,127,855,100,823,652,878,636,803,099,895,467,068,170,470,188,
342,399,537,468,024,057,066,622,753,362,252,979,557,283,692,291,187,508,972,
338,777,962,704,893,111,128,842,523,922,317,146,386,163,785,584,223,881,202,
490,347,756,456,403,867,772,843,727,157,290,829,748,558,119,548,539,895,886,
113,904,124,158,850,987,727,578,457,727,688,095,966,376,883,806,566,915,121,
552,678,690,159,499,824,836,596,067,470,768,312,642,999,770,392,777,056,508,
065,392,462,969,207,784,809,663,551,298,857,931,580,621,669,989,088,451,426,
997,121,721,544,733,859,093,359,484,251,456,660,394,765,176,637,183,212,997,
740,711,002,030,965,620,636,671,487,737,623,406,886,558,529,853,377,713,258,
155,667,784,759,976,373,722,050,943,254,086,995,077,923,864,313,147,148,099,
531,030,224,641,179,362,478,086,975,337,055,541,918,704,617,154,907,350,154,
578,363,719,517,893,025,210,156,044,365,067,133,916,602,003,468,073,394,715,
555,917,908,701,261,861,228,243,602,497,020,522,521,896,716,295,714,544,961,
058,275,017,539,265,477,482,374,891,316,798,485,399,375,084,041,798,851,900,
596,494,995,721,500,781,851,345,963,185,953,622,605,279,800,107,724,709,100,
611,118,513,599,540,346,466,726,689,244,628,206,352,549,461,608,642,675,299,
953,435,680,520,056,668,713,319,675,475,204,238,826,944,851,623,907,225,747,
015,709,902,963,778,231,676,181,553,337,006,343,626,307,694,066,710,534,869,
585,775,934,239,929,431,780,206,468,963,545,625,830,266,433,305,086,091,008,
625,718,745,724,151,229,099,671,214,007,350,960,581,865,487,313,107,864,974,
732,183,106,841,914,551,917,758,939,056,931,052,005,196,228,724,955,211,732,
382,649,771,629,065,913,018,369,294,001,431,880,725,345,496,844,165,808,092,
432,068,462,784,000,790,650,131,970,125,661,097,250,093,013,714,744,014,107,
431,784,576,679,800,784,546,277,447,758,113,812,870,760,857,064,642,101,647,
728,396,448,103,084,893,635,371,896,565,561,705,268,893,190,110,826,226,370,
869,323,125,996,030,654,363,516,748,174,849,525,243,032,587,970,310,507,352,
953,461,712,167,412,000,232,073,963,378,256,964,602,771,261,287,889,415,401,
714,226,023,850,325,554,824,237,917,985,521,421,429,631,981,501,432,614,582,
889,198,896,302,599,306,571,164,230,373,066,292,842,582,019,490,670,558,647,
814,870,172,863,990,934,518,042,934,436,442,300,460,225,518,218,807,806,850,
071,006,136,562,130,380,868,168,047,937,862,006,346,909,234,017,807,207,802,
833,310,629,900,794,295,002,908,106,904,894,373,218,886,829,426,023,874,253,
584,385,469,659,767,146,668,490,266,446,289,610,978,933,445,571,999,147,877,
698,912,048,729,043,323,697,095,087,766,444,403,397,165,576,411,137,268,869,
008,562,491,794,845,919,674,432,128,162,691,826,063,504,661,065,087,058,123,
378,626,583,508,283,837,041,957,443,273,605,503,564,142,323,833,384,879,919,
092,925,028,196,672,106,283,799,445,018,364,625,046,690,285,523,690,950,063,
931,188,934,976,092,860,444,979,742,261,187,807,653,007,886,662,648,465,887,
138,285,473,857,630,122,856,774,067,680,878,420,323,923,979,023,732,546,108,
804,558,052,438,896,787,797,270,915,067,859,208,472,640,886,635,211,421,117,
927,538,573,262,690,216,829,488,555,125,111,278,176,011,094,104,415,077,922,
249,710,100,274,332,051,225,082,820,056,618,583,283,485,170,812,626,002,653,
923,665,343,607,932,600,348,717,723,775,750,675,856,831,338,980,875,590,733,
951,162,383,563,564,385,948,232,812,745,615,338,389,024,378,892,690,930,264,
756,350,813,017,629,684,133,040,234,043,794,513,159,833,623,253,407,709,497,
408,535,486,739,731,269,537,014,703,401,408,883,352,837,333,347,931,046,925,
755,495,377,882,199,001,927,832,515,608,689,832,664,796,342,935,722,048,244,
738,249,459,719,199,215,582,363,827,271,471,489,023,196,073,047,011,609,608,
462,285,118,757,204,700,941,148,058,021,158,065,001,013,853,226,695,351,767,
469,476,227,732,441,113,835,041,983,285,840,862,424,330,804,394,879,833,946,
504,352,492,663,675,949,237,746,814,764,539,738,094,571,486,080,102,203,365,
397,054,276,334,458,043,215,203,169,738,512,538,795,496,978,449,738,069,907,
155,140,058,877,963,942,723,201,079,031,044,868,355,175,821,091,377,374,479,
413,385,570,602,485,713,426,358,738,270,161,425,762,304,723,015,611,863,646,
128,603,921,670,009,216,006,059,787,742,646,165,932,151,743,600,559,041,339,
162,725,650,813,857,719,793,449,573,295,122,220,296,350,534,218,675,571,650,
106,436,714,630,863,936,184,898,614,713,273,707,912,023,306,297,517,957,755,
969,046,431,027,941,780,393,938,879,423,235,300,637,584,973,053,546,576,931,
379,004,177,904,874,470,906,148,103,447,553,720,860,875,497,916,053,842,768,
924,389,630,537,573,739,458,063,787,473,624,698,277,629,245,993,241,389,791,
053,599,236,468,022,424,171,530,062,393,525,690,659,550,866,900,288,858,525,
604,233,484,198,398,681,359,930,729,881,182,536,968,267,296,004,974,141,864,
078,398,909,976,403,199,903,450,988,707,352,902,509,975,589,799,077,917,841,
962,142,629,450,556,023,430,611,176,793,723,128,602,224,848,673,967,396,181,
150,757,060,355,230,410,317,716,064,705,620,288,509,184,799,589,410,861,422,
550,351,054,325,630,375,751,653,725,272,808,753,118,947,356,111,603,569,029,
873,000,334,969,894,223,718,282,933,049,915,740,434,789,370,800,649,214,898,
563,736,778,818,707,795,536,915,067,403,359,190,081,259,074,582,998,735,415,
001,146,521,282,185,182,194,415,645,781,271,177,825,192,335,395,316,622,816,
626,328,657,855,116,324,061,347,608,705,487,673,469,093,214,233,150,570,951,
451,610,009,051,968,593,381,178,276,305,736,175,204,453,875,987,464,035,086,
101,299,233,354,939,210,248,065,211,213,194,247,476,987,086,706,526,359,355,
823,435,114,321,399,289,937,196,746,364,838,087,755,432,289,867,098,987,894,
746,266,756,990,036,536,654,716,513,735,009,865,661,695,680,929,651,088,485,
141,341,094,849,820,944,157,340,773,097,843,763,464,316,790,518,295,935,589,
624,418,053,955,445,675,826,359,813,372,713,437,730,749,713,882,743,736,955,
918,534,078,126,217,624,242,114,637,663,420,417,186,210,043,022,348,398,360,
273,539,742,579,499,336,877,966,989,665,915,353,242,766,622,865,393,589,587,
443,558,349,704,815,590,753,979,256,713,811,489,882,721,739,940,505,317,900,
085,158,689,089,534,660,970,204,873,068,306,434,556,970,163,096,380,425,974,
419,591,863,551,213,782,857,785,942,382,893,835,192,079,774,693,230,773,073,
893,213,543,487,958,355,373,493,383,926,070,411,636,296,485,927,840,744,018,
537,766,814,299,330,085,074,543,547,808,930,566,277,012,858,802,378,507,181,
482,297,009,677,174,637,383,791,020,132,030,073,504,565,599,453,746,262,906,
267,367,883,718,380,781,433,737,203,969,556,852,033,479,309,345,599,781,524,
829,787,763,065,276,880,862,246,462,531,293,923,040,260,387,622,528,706,012,
754,520,058,357,713,293,132,657,554,298,645,626,936,337,070,123,662,610,905,
067,663,992,988,564,097,685,565,638,587,857,479,384,611,238,278,890,981,552,
191,570,318,923,575,267,751,606,022,741,176,182,850,399,535,716,139,459,936,
255,957,877,994,967,731,109,966,267,540,533,288,813,570,545,472,034,852,655,
802,773,066,611,245,057,479,792,936,411,640,550,352,223,617,555,566,658,237,
356,855,624,504,611,878,623,179,631,332,895,046,097,367,266,949,385,213,515,
225,387,853,616,831,526,828,516,329,942,442,069,637,570,323,382,829,507,592,
257,693,678,227,539,623,315,471,969,742,018,242,911,332,124,087,718,748,014,
236,892,673,785,689,937,085,348,901,781,621,588,211,896,137,035,247,683,030,
712,834,772,318,433,413,312,199,160,150,226,314,085,448,085,071,260,584,790,
726,066,221,747,205,630,960,195,637,902,126,129,104,043,870,743,635,017,036,
369,142,734,718,190,659,198,059,134,834,045,270,752,346,696,204,304,961,587,
734,105,706,327,268,691,803,014,170,486,896,194,101,223,251,307,006,606,184,
885,921,716,796,819,579,812,899,922,908,454,925,001,053,592,400,328,293,477,
700,813,436,042,242,534,014,436,879,588,657,412,105,851,573,758,519,602,047,
895,927,682,875,369,188,722,000,028,565,264,042,170,906,249,225,261,126,786,
356,251,303,629,288,393,551,505,821,004,177,796,180,816,174,884,225,342,910,
618,272,534,997,166,786,708,510,470,731,108,848,103,383,026,507,235,895,236,
078,791,145,582,191,806,384,954,798,529,021,903,989,608,107,219,602,053,123,
556,253,632,392,130,909,821,992,468,833,343,218,342,840,807,200,952,832,913,
685,305,108,407,492,577,750,974,690,293,537,787,743,077,045,706,878,282,393,
410,768,329,595,852,507,375,704,386,823,749,706,905,856,688,595,098,960,266,
778,542,171,884,148,132,199,562,161,309,711,788,030,886,969,651,246,118,795,
556,162,115,315,234,673,961,108,290,417,839,288,494,089,108,202,538,179,467,
245,002,432,374,181,927,101,704,035,559,459,278,007,154,058,971,605,087,283,
798,517,911,556,189,231,899,666,977,407,588,889,140,484,552,897,286,586,291,
997,027,342,667,759,153,022,708,800,021,797,273,956,792,381,139,818,317,928,
353,545,565,374,145,279,660,084,842,330,936,366,521,403,321,004,938,019,812,
757,285,626,801,284,268,704,565,365,826,361,175,171,930,097,410,636,427,325,
622,861,212,841,500,938,581,673,289,185,550,112,533,927,997,995,548,147,256,
672,669,014,595,387,172,322,278,699,985,969,826,791,053,851,330,801,818,937,
602,490,445,690,672,561,274,880,709,168,005,260,648,681,816,457,050,356,897,
063,338,382,787,957,990,132,289,766,252,628,899,016,917,311,390,135,687,336,
055,977,244,157,390,256,574,664,434,033,373,540,871,346,169,847,819,876,549,
832,532,457,796,882,252,066,900,619,158,012,524,192,948,421,618,510,145,219,
748,624,123,239,158,108,392,863,374,612,000,775,080,414,785,384,602,327,095,
933,555,151,236,712,252,395,038,145,145,001,828,125,422,462,960,918,596,921,
626,765,528,273,224,569,298,598,752,398,314,901,801,251,648,519,347,091,431,
042,601,837,624,963,398,330,317,049,690,130,583,190,698,086,324,779,954,990,
336,709,793,507,794,386,450,738,932,720,288,332,485,499,145,392,388,792,980,
188,497,699,118,723,492,454,460,313,654,814,768,236,068,809,533,937,262,725,
455,866,467,201,509,858,363,657,614,589,782,973,239,146,978,708,449,881,585,
428,808,782,221,958,785,575,009,181,135,736,544,858,561,386,403,845,733,525,
747,323,945,985,155,966,303,211,212,002,842,158,167,785,951,506,428,212,941,
862,225,464,162,017,245,395,059,582,013,555,666,100,267,898,532,410,086,018,
136,659,480,696,751,633,810,383,931,069,416,921,462,105,841,139,474,983,041,
855,926,804,815,734,364,488,050,475,337,370,636,152,872,853,586,079,388,139,
576,739,810,199,490,001,006,715,284,369,078,499,336,697,723,260,073,846,546,
138,449,842,544,628,469,283,316,368,309,809,405,296,293,957,213,175,258,425,
592,772,411,478,165,247,087,788,063,832,976,271,323,412,193,251,475,761,073,
029,166,710,647,982,717,951,357,022,319,021,456,506,055,477,000,042,155,119,
002,166,583,346,490,911,729,794,334,659,034,403,183,496,058,578,706,656,726,
079,785,760,874,533,217,848,813,683,495,369,765,478,736,763,916,287,982,500,
871,982,152,101,188,395,884,071,150,617,180,136,064,562,544,318,042,899,151,
761,828,546,935,423,068,856,964,392,077,860,257,691,948,973,378,625,799,196,
199,110,432,482,734,151,564,263,223,127,604,311,329,907,503,317,804,447,850,
913,467,572,682,412,025,546,175,393,938,003,198,610,405,179,522,100,734,120,
950,280,798,184,418,682,482,852,429,922,998,153,101,308,729,011,296,510,444,
668,493,725,818,392,930,030,104,154,717,814,007,223,842,497,722,363,647,232,
192,214,869,595,003,547,403,003,399,600,596,684,787,982,592,890,531,087,401,
814,188,059,284,536,824,721,879,877,498,878,529,016,698,899,940,157,443,836,
997,685,444,850,360,869,429,680,750,047,284,012,218,460,938,092,580,877,243,
629,980,509,632,011,748,043,102,701,152,348,673,472,161,116,174,551,986,602,
904,890,748,879,621,222,431,825,659,050,835,918,469,658,381,090,353,920,982,
793,243,076,589,003,797,093,866,138,003,958,388,768,561,056,093,662,782,435,
961,130,753,693,558,232,246,835,531,175,409,270,743,667,059,361,643,295,311,
450,656,273,190,491,731,290,960,649,905,938,106,663,461,539,169,250,662,965,
977,013,204,078,324,794,282,668,339,072,285,249,822,500,305,709,983,714,731,
385,178,735,524,542,763,974,945,689,439,697,537,552,295,706,657,406,162,013,
784,164,853,395,262,401,048,774,827,963,411,300,383,144,071,294,000,683,415,
235,774,426,127,976,007,811,062,060,675,743,296,827,018,831,052,908,405,423,
155,927,119,412,911,331,252,536,740,048,845,397,048,160,406,157,282,701,702,
051,806,930,997,474,782,256,730,147,034,971,460,789,425,242,465,192,521,711,
412,069,003,477,821,550,753,211,566,605,940,177,004,617,859,518,903,963,592,
417,299,672,207,357,916,297,662,383,297,989,483,535,867,391,238,804,463,506,
467,749,040,464,894,843,768,177,603,119,418,825,656,554,194,453,146,265,143,
474,282,748,562,557,404,026,052,983,798,729,398,785,931,435,705,367,618,291,
381,974,232,882,311,120,514,629,807,220,448,822,972,809,008,874,014,623,734,
380,776,197,493,910,897,419,222,841,915,850,278,129,664,512,600,660,583,090,
543,557,078,499,393,058,026,645,035,193,644,265,730,365,916,209,733,366,796,
181,631,668,760,855,308,238,726,185,468,857,577,744,755,082,487,344,829,741,
219,533,650,860,650,034,240,365,828,278,585,256,739,529,217,373,615,366,525,
079,492,138,427,677,084,556,772,932,951,480,427,420,429,564,522,781,897,003,
955,097,092,471,927,030,115,458,355,197,274,527,437,488,721,396,469,290,545,
987,343,474,188,312,244,485,235,562,730,198,827,952,500,961,124,914,833,222,
629,347,321,247,352,252,381,906,168,934,776,812,468,400,209,011,624,957,028,
823,644,160,960,663,439,941,891,626,621,139,825,857,121,729,700,312,311,588,
166,309,433,968,626,844,860,386,832,258,965,194,875,298,493,179,935,946,684,
298,102,338,087,908,365,150,616,117,115,290,243,190,412,173,228,698,111,521,
399,269,879,424,804,334,612,767,267,481,612,782,734,727,584,950,168,187,695,
987,318,083,277,269,294,056,997,646,773,932,294,014,186,712,008,991,503,314,
310,744,923,048,381,406,789,874,210,877,182,186,325,631,612,026,046,268,789,
289,948,595,429,764,947,344,767,801,385,000,771,249,372,070,119,506,972,860,
639,545,684,672,032,291,841,352,233,889,545,081,607,377,405,882,147,810,039,
877,146,627,905,728,655,800,693,258,288,903,715,633,720,475,775,544,077,286,
903,798,939,149,470,365,365,534,057,802,842,015,665,604,436,963,212,614,493,
718,585,550,848,525,307,448,611,227,623,145,232,880,606,326,453,261,867,517,
689,842,247,017,221,692,396,821,494,811,168,605,305,432,993,834,068,723,401,
005,552,076,616,206,782,422,013,102,330,493,016,937,567,758,224,511,131,265,
149,856,660,274,383,766,251,832,952,629,876,325,924,516,020,799,064,758,661,
917,449,878,720,768,112,424,973,713,367,611,275,682,614,668,480,433,932,104,
107,995,453,358,284,877,201,825,912,989,146,643,109,937,931,944,409,814,909,
085,625,252,493,426,834,113,828,246,699,904,126,910,724,954,305,754,993,974,
855,285,175,818,336,130,398,212,489,419,765,028,472,505,734,115,784,055,540,
392,211,040,206,913,008,932,187,887,987,944,722,196,923,076,924,535,069,937,
795,239,159,723,127,988,221,211,075,460,234,474,678,714,744,376,397,756,150,
964,771,485,383,096,116,934,928,251,491,138,791,290,928,184,412,391,141,172,
591,265,658,837,930,956,141,664,805,150,915,490,545,300,264,383,689,686,447,
826,203,462,149,509,579,151,897,848,581,947,517,038,127,529,711,007,495,166,
593,906,309,016,761,369,378,541,773,296,872,609,342,498,986,229,197,022,405,
274,503,457,126,878,077,499,935,289,841,174,587,933,242,519,141,361,040,019,
252,125,749,897,745,686,559,438,396,931,348,966,517,403,969,656,757,108,399,
732,159,397,820,549,995,051,470,609,968,628,855,797,849,311,746,985,385,393,
427,072,991,043,116,005,080,376,463,326,579,598,730,803,352,252,691,285,860,
731,728,434,233,629,294,095,411,050,489,928,656,225,052,468,262,754,210,149,
633,024,711,964,068,026,955,613,015,564,008,563,622,671,681,372,597,903,283,
561,826,426,331,344,761,501,585,034,216,056,247,872,890,640,723,006,409,926,
613,708,376,909,669,028,401,615,643,803,396,979,048,009,029,545,307,909,579,
176,179,423,156,503,743,548,521,004,497,384,315,340,024,100,380,278,636,747,
697,391,628,438,347,621,946,194,740,758,188,629,860,450,376,104,648,378,908,
699,579,808,628,467,602,024,032,568,494,846,623,603,242,302,346,668,255,538,
293,699,826,405,252,720,581,983,744,248,569,539,621,387,554,921,812,140,677,
846,484,047,581,122,776,254,832,584,985,849,958,521,789,662,196,167,058,113,
975,034,295,909,261,358,971,963,172,751,593,745,809,887,675,840,279,904,392,
543,581,917,768,056,829,378,015,358,444,242,484,636,552,959,597,897,530,896,
194,691,798,126,855,464,326,894,811,463,345,612,311,238,947,675,295,242,001,
817,173,462,836,422,375,954,033,064,394,947,660,822,331,820,542,208,410,987,
711,429,201,430,613,195,414,507,707,443,289,493,049,546,379,951,593,029,139,
994,623,992,657,923,844,907,700,453,999,678,344,494,211,215,225,980,588,144,
497,984,417,462,404,299,248,138,088,473,499,302,011,115,009,433,981,651,274,
911,744,524,230,324,380,286,698,503,462,417,366,794,624,011,654,432,128,470,
182,164,649,493,102,387,247,500,624,019,828,654,317,031,209,679,981,366,370,
422,822,022,285,897,761,192,538,466,180,670,843,401,614,107,884,086,187,644,
417,240,633,904,104,334,430,726,462,818,225,754,215,862,060,004,286,639,584,
500,912,171,206,299,206,222,141,688,690,070,386,060,815,763,505,724,532,643,
537,494,375,148,713,146,174,469,816,305,334,804,158,937,528,561,025,440,513,
367,697,515,939,473,641,858,227,574,509,692,142,221,743,108,656,151,244,619,
461,829,308,358,352,601,255,536,832,565,754,340,954,610,196,117,894,260,498,
566,994,541,615,029,440,414,090,981,877,387,194,081,920,187,592,903,189,402,
614,088,857,593,895,044,829,402,280,154,417,309,678,165,346,409,913,787,035,
872,340,229,100,756,699,651,161,316,419,231,870,689,281,075,616,375,408,773,
528,408,608,753,670,783,749,967,482,497,387,139,835,814,062,212,762,889,151,
286,123,062,498,808,945,707,867,493,508,029,204,847,638,916,278,417,677,648,
182,815,944,795,090,051,333,226,781,218,217,646,777,067,325,368,260,918,679,
835,489,213,392,609,426,488,985,120,445,827,782,532,786,465,920,820,434,427,
160,100,581,343,142,145,350,826,254,192,816,344,239,056,751,731,478,358,135,
479,116,831,143,762,001,109,349,627,883,852,718,174,197,062,108,647,479,507,
092,349,890,910,654,630,573,021,526,042,303,520,078,898,341,406,044,603,588,
580,823,738,145,776,895,333,550,674,576,742,873,220,840,236,709,272,771,672,
088,781,033,817,032,892,967,722,088,995,215,141,722,025,309,050,192,780,024,
383,659,140,300,901,494,745,603,530,931,425,079,477,386,452,176,991,802,882,
355,056,644,817,992,433,613,192,252,452,101,792,261,898,596,192,203,408,450,
883,521,632,547,535,801,152,579,808,015,472,729,092,588,589,378,989,370,631,
590,075,716,545,308,231,218,955,341,189,232,595,634,736,926,576,607,561,770,
426,642,617,443,537,819,724,017,134,693,607,725,453,414,923,507,879,249,539,
872,052,646,053,495,172,446,760,492,907,897,902,570,400,065,716,981,578,703,
334,442,775,612,880,606,221,947,803,453,571,588,505,552,317,519,085,570,789,
445,015,368,296,347,177,651,790,628,481,045,765,131,338,395,583,681,133,539,
932,877,201,492,397,821,671,237,795,919,814,954,859,183,274,946,791,640,846,
516,792,318,723,113,986,787,162,334,980,499,218,391,516,125,077,869,467,692,
011,399,342,725,346,172,422,569,518,237,294,416,588,438,061,530,468,716,155,
122,099,912,761,336,730,282,476,095,173,473,018,151,123,950,240,125,465,618,
377,235,533,169,814,308,585,429,686,090,875,099,365,150,487,820,767,174,167,
756,479,582,879,184,881,921,548,781,760,258,150,058,932,823,841,757,706,570,
690,743,448,138,009,408,566,453,550,184,267,241,364,952,673,133,295,369,263,
722,692,240,171,369,914,241,529,660,540,216,518,659,686,443,758,907,288,951,
858,079,946,910,235,886,507,726,357,769,940,046,180,913,030,092,320,786,723,
006,226,421,072,988,382,380,079,480,665,409,942,197,517,946,081,020,175,675,
521,383,549,272,276,458,222,560,624,615,008,513,205,251,122,163,651,007,741,
994,287,658,914,063,999,216,065,423,709,797,902,588,704,055,569,783,737,668,
405,448,294,430,679,304,952,153,266,481,213,302,138,970,680,308,687,368,084,
537,207,645,738,763,317,953,153,241,610,907,024,814,181,239,583,275,444,754,
257,943,596,610,022,091,012,123,548,040,086,528,714,694,258,999,340,840,367,
132,420,001,456,052,179,446,787,508,749,527,297,680,081,803,330,777,057,683,
813,580,346,437,252,133,651,893,676,542,431,094,645,138,106,864,740,397,842,
218,843,497,240,851,164,522,590,349,361,956,321,712,874,693,736,650,917,122,
169,168,447,723,321,104,997,357,840,452,371,656,296,377,577,077,754,901,173,
337,949,552,028,244,662,436,608,088,058,389,649,957,927,871,970,877,640,248,
219,848,081,564,837,611,969,724,476,718,468,282,286,953,337,165,731,957,144,
355,984,726,834,985,145,262,872,538,823,201,404,605,689,172,198,360,941,553,
101,404,283,742,311,097,614,851,105,974,093,706,645,284,119,718,302,363,680,
531,539,330,282,049,802,401,774,129,702,898,482,216,222,913,093,430,654,934,
162,109,335,887,975,601,815,036,698,947,942,886,006,799,591,756,717,823,056,
284,810,517,809,078,092,056,491,450,271,893,487,991,097,925,970,939,772,490,
767,710,119,618,603,985,061,025,218,763,938,036,608,187,899,885,868,178,496,
293,799,843,585,452,563,885,339,838,991,847,390,158,903,841,316,158,496,774,
389,698,015,629,170,925,554,417,559,960,837,844,237,457,640,220,374,254,903,
704,154,267,310,206,355,837,014,344,622,490,893,571,829,453,593,801,882,698,
830,526,261,007,875,057,741,996,908,019,755,411,340,745,216,202,005,407,838,
337,868,605,897,735,590,726,567,420,223,582,699,832,166,778,700,327,512,444,
503,921,563,085,681,658,216,484,641,636,917,134,391,088,552,865,405,274,738,
193,493,912,790,242,889,046,328,603,625,968,663,462,514,105,798,610,312,513,
990,835,429,554,781,152,477,714,591,178,380,165,797,647,460,970,755,812,551,
167,183,778,517,652,328,945,368,280,575,975,765,686,624,410,793,830,200,944,
944,705,316,076,175,348,331,760,629,365,206,978,893,977,964,217,709,499,383,
499,565,826,504,373,485,010,699,172,366,469,812,636,721,508,075,472,529,094,
757,296,162,270,054,576,626,244,808,300,613,319,872,959,862,866,103,073,885,
185,943,058,827,403,014,084,544,425,286,577,138,529,129,786,207,660,813,804,
745,436,419,944,062,908,057,909,320,511,803,903,775,830,417,280,963,220,338,
224,007,380,989,090,718,282,492,154,675,852,881,156,015,505,249,857,735,246,
662,136,483,177,723,015,083,189,011,199,222,293,685,657,364,810,252,948,935,
015,479,606,550,061,984,895,077,913,126,535,351,294,526,001,793,121,195,057,
109,928,410,626,583,315,721,453,299,271,882,920,041,961,734,285,614,658,770,
313,125,379,694,240,377,797,218,769,223,776,940,386,023,815,980,359,072,882,
824,746,594,466,100,603,457,128,986,806,400,988,339,515,009,571,190,267,025,
389,235,703,396,580,020,160,878,640,722,100,852,322,380,885,606,988,139,451,
787,987,919,682,440,778,990,256,752,393,005,706,907,202,751,389,449,832,832,
762,070,108,235,946,876,334,320,798,033,761,049,249,892,240,481,804,542,075,
472,324,642,519,873,292,897,931,942,800,900,202,738,679,103,152,137,507,131,
721,252,446,302,612,604,576,635,267,977,109,177,511,781,658,126,247,715,061,
720,992,696,075,288,114,653,265,678,184,512,205,189,694,654,873,000,169,925,
478,965,420,400,034,284,430,755,913,630,822,506,347,700,284,333,513,937,134,
008,586,838,535,410,443,728,098,193,518,413,453,004,246,813,537,294,077,578,
343,720,591,311,655,300,624,307,762,174,327,658,917,302,027,090,794,041,697,
777,315,440,157,282,712,047,973,930,695,923,073,222,967,361,487,547,442,389,
063,077,489,874,208,373,168,053,164,913,314,472,777,748,516,711,206,576,167,
629,531,427,695,322,528,460,040,451,335,645,171,618,578,562,685,313,886,882,
825,471,624,468,158,001,472,581,676,961,005,691,594,427,938,507,529,512,250,
401,242,431,313,194,043,396,909,632,742,134,267,844,550,788,615,058,402,837,
239,630,158,416,758,253,113,181,406,249,372,834,347,044,786,453,600,365,050,
907,805,248,313,916,843,327,591,909,372,635,900,175,033,873,256,610,800,162,
947,674,929,198,067,872,186,786,529,191,286,995,582,768,950,804,618,348,487,
648,524,410,956,802,513,892,700,546,786,206,015,854,760,634,870,873,053,339,
713,413,209,457,462,817,612,522,501,217,732,675,268,048,646,328,994,353,737,
132,870,438,146,704,493,713,180,304,956,736,977,482,316,989,070,407,017,701,
270,568,391,775,592,006,797,010,084,717,395,906,784,863,096,092,865,696,045,
316,686,718,014,564,150,417,085,937,322,033,482,859,873,414,102,411,767,208,
376,723,903,089,883,977,982,388,662,866,854,369,900,070,018,075,290,040,160,
412,139,271,776,050,107,371,997,125,807,411,956,049,120,428,930,945,888,993,
042,350,121,435,781,618,689,987,668,754,712,220,930,239,373,679,825,633,783,
431,042,245,092,168,608,057,201,684,873,073,831,653,911,345,386,363,623,911,
135,753,678,253,940,886,922,631,619,724,139,262,576,749,097,628,317,384,806,
761,433,907,885,348,831,879,541,874,142,154,561,702,109,410,943,070,582,407,
767,022,163,039,890,061,114,887,052,098,923,337,689,429,567,390,493,298,300,
204,969,657,061,976,909,353,391,971,168,405,369,409,609,356,147,314,927,312,
306,927,777,796,976,424,043,948,724,985,559,408,719,681,525,417,806,552,284,
862,974,912,877,188,820,779,088,942,181,694,135,091,607,061,882,457,122,344,
652,116,430,682,734,333,193,456,673,565,844,043,221,879,256,577,688,141,529,
856,408,143,974,434,609,632,253,319,621,325,976,082,704,228,820,347,707,833,
311,182,325,135,572,991,816,849,885,266,137,761,381,741,790,851,181,292,790,
385,899,171,359,172,869,138,017,286,860,182,691,853,359,532,787,301,873,964,
296,009,706,996,341,231,405,357,012,693,518,767,802,838,894,174,124,923,303,
156,246,270,800,212,904,671,971,269,812,935,114,534,221,056,041,862,528,359,
571,215,650,055,449,113,313,973,422,327,516,130,602,006,696,883,044,478,260,
211,403,394,836,015,749,492,894,844,550,599,543,621,225,866,622,072,364,493,
818,282,146,825,701,398,684,465,615,561,336,211,144,500,085,213,731,023,670,
253,331,323,075,176,775,691,568,620,626,513,034,692,181,547,469,881,652,723,
057,366,355,850,941,177,223,466,264,316,281,699,606,993,635,897,992,398,596,
134,027,437,586,551,481,367,389,923,645,268,982,049,148,476,221,224,791,592,
979,859,868,524,480,626,894,368,610,564,646,527,533,119,294,061,516,282,962,
583,861,565,840,680,941,184,451,830,470,597,537,046,819,342,602,772,448,722,
470,020,020,436,302,762,516,119,917,152,161,399,592,603,809,912,906,900,349,
599,926,407,831,748,603,593,839,240,127,582,725,507,405,534,323,581,992,712,
251,647,943,126,333,179,602,522,685,661,456,889,234,790,076,689,922,201,791,
392,073,561,231,095,105,073,388,054,118,928,474,574,628,624,709,205,139,236,
692,919,549,357,665,068,334,643,310,388,569,034,292,677,814,620,916,638,823,
457,728,184,808,939,251,421,155,808,020,506,567,619,276,340,576,782,491,280,
561,623,140,517,097,293,376,470,551,911,655,269,981,146,706,018,046,908,192,
833,019,639,169,658,966,767,867,286,321,964,459,244,049,346,530,815,267,655,
119,218,407,921,876,840,358,509,354,678,275,611,665,967,315,567,480,741,525,
810,122,104,906,291,389,792,609,603,355,937,179,933,786,106,522,871,670,064,
721,633,138,946,842,728,871,946,103,979,360,210,665,713,887,416,657,088,793,
358,456,585,850,678,417,496,353,918,350,739,348,094,765,717,511,763,090,635,
733,908,758,363,198,181,153,456,616,245,628,980,265,091,430,558,807,129,712,
785,058,156,351,625,325,751,171,682,592,754,810,639,926,578,774,416,646,269,
494,802,235,893,065,602,092,690,309,871,114,037,868,489,878,774,549,672,166,
451,322,949,324,614,602,403,601,642,874,393,153,027,695,836,901,195,397,700,
320,635,764,528,854,479,634,675,910,877,911,093,070,367,147,806,435,775,161,
745,474,352,274,054,775,768,480,963,495,396,869,117,133,018,847,655,428,763,
654,224,171,229,874,367,410,359,103,056,607,568,529,751,443,820,630,712,234,
542,619,447,640,405,596,932,953,564,330,998,186,417,845,930,268,349,585,571,
204,737,699,054,567,775,255,244,008,794,241,708,325,547,251,950,688,597,436,
740,316,371,269,150,937,661,109,144,702,218,287,066,102,989,248,386,355,920,
431,634,865,881,516,828,239,878,494,355,600,172,675,754,807,661,190,320,598,
308,579,388,413,565,418,718,152,951,465,876,395,549,140,142,960,122,781,206,
012,991,248,131,798,113,165,469,860,720,779,350,862,738,312,623,433,590,020,
326,881,201,883,365,054,405,234,885,819,345,184,573,360,186,877,536,635,409,
083,791,828,008,582,044,561,588,368,051,582,483,081,955,195,563,557,572,281,
559,596,352,947,311,245,244,392,295,320,426,164,365,457,702,031,136,661,185,
890,552,886,187,002,397,022,781,846,665,736,149,419,125,337,720,237,225,526,
450,280,503,913,519,866,616,959,097,988,624,036,395,349,499,006,498,580,638,
789,359,531,699,180,621,783,525,428,640,655,281,839,302,418,822,233,002,580,
303,082,847,519,740,169,803,535,727,125,918,725,516,955,106,511,872,265,210,
227,005,469,431,436,059,126,532,652,618,738,574,394,616,718,470,064,698,929,
576,959,695,156,250,244,919,259,300,567,970,558,810,746,457,704,730,779,864,
210,288,559,863,808,417,407,784,483,670,215,555,540,790,729,948,602,852,996,
534,095,453,228,857,020,593,689,702,460,163,466,190,781,180,094,428,761,472,
362,802,051,381,176,237,021,672,704,417,951,142,688,870,246,393,240,069,571,
615,202,509,481,262,765,728,708,476,083,921,703,752,825,205,386,168,178,431,
096,057,161,481,020,719,998,625,675,971,250,223,120,335,111,902,554,808,166,
634,274,498,346,075,847,940,421,801,748,415,931,558,684,125,270,690,027,129,
106,567,629,568,732,872,121,815,348,216,727,333,214,711,630,053,635,759,199,
003,994,560,963,825,821,192,247,334,553,388,184,407,856,166,336,755,611,831,
549,199,767,514,779,929,997,795,686,815,397,453,358,576,207,810,922,791,571,
224,418,060,129,078,254,625,183,977,545,016,698,770,926,189,666,439,311,644,
355,188,643,840,177,213,457,280,553,321,108,815,997,179,108,208,042,831,377,
075,521,539,645,019,663,450,599,593,967,819,402,469,569,001,468,911,151,584,
173,825,891,812,975,250,160,974,389,567,385,881,321,414,850,358,733,589,090,
363,754,667,658,372,877,476,215,515,882,393,582,972,042,066,912,447,116,400,
571,622,219,732,702,897,110,911,474,014,539,842,407,516,476,252,025,014,311,
184,185,732,380,260,043,048,441,964,550,151,785,172,276,897,658,514,672,795,
327,290,895,386,304,907,586,585,082,115,322,242,730,240,766,801,628,566,717,
670,084,196,183,537,500,568,299,974,397,840,363,569,927,490,496,392,629,058,
139,348,249,064,927,903,720,507,269,257,327,453,150,975,278,393,660,939,382,
696,657,844,257,293,542,988,462,880,118,953,154,251,865,862,607,470,014,145,
221,183,834,916,620,337,144,895,200,884,586,445,958,985,203,700,654,964,870,
297,701,381,206,030,920,382,645,880,345,035,579,780,163,059,155,818,883,596,
343,518,445,374,646,832,379,210,861,333,748,668,736,194,927,751,539,571,600,
674,704,594,335,077,338,899,047,339,665,883,372,054,298,429,613,845,398,730,
232,321,433,167,398,079,322,510,866,285,141,815,807,443,707,251,284,795,761,
676,320,155,195,371,463,193,575,513,818,476,772,918,787,651,356,683,809,494,
561,237,827,818,922,985,655,893,464,347,518,458,097,120,250,233,886,881,848,
277,081,851,104,185,109,615,051,403,410,009,615,559,614,296,173,797,405,799,
517,162,952,242,875,077,782,620,586,218,560,285,429,002,113,746,819,662,129,
041,640,723,411,127,820,100,163,905,645,690,295,702,923,294,052,408,047,836,
019,578,417,111,525,869,210,316,682,042,191,882,997,956,770,456,471,347,427,
844,865,040,362,690,257,574,431,696,301,519,813,590,664,969,550,724,345,643,
194,963,022,451,257,881,792,109,434,523,211,259,497,338,616,459,603,570,636,
131,975,251,863,899,479,053,545,646,465,865,866,761,103,599,069,761,500,700,
350,600,336,469,931,359,599,604,887,623,248,304,874,224,014,370,662,833,272,
724,605,615,432,828,776,295,911,555,257,117,641,701,292,553,148,161,400,234,
357,159,820,078,510,511,103,866,041,092,704,130,859,599,710,540,679,092,076,
570,035,318,954,719,932,402,438,691,966,806,374,317,527,860,697,157,046,988,
253,220,080,160,924,259,620,745,689,576,886,350,386,531,729,204,769,729,310,
134,468,047,229,826,892,552,105,533,777,457,615,617,029,573,953,840,166,395,
331,341,482,501,029,649,518,073,988,834,087,064,522,848,635,356,810,041,419,
833,044,328,418,060,705,628,452,059,920,126,911,821,132,636,981,017,045,670,
820,417,026,484,591,495,731,824,569,834,455,601,268,560,468,420,588,093,331,
900,433,387,698,721,184,262,345,664,908,879,227,323,164,305,039,410,297,827,
924,449,164,066,008,787,846,214,739,297,634,663,538,354,818,396,861,631,951,
999,792,812,197,398,448,988,194,323,512,379,492,417,709,599,680,312,825,744,
253,240,454,719,789,511,543,715,746,058,875,337,468,275,543,330,332,533,160,
783,284,676,057,068,421,504,757,380,454,400,894,943,547,023,983,222,051,267,
101,612,887,832,869,691,360,797,766,308,469,258,638,344,969,825,267,821,388,
808,816,064,005,262,493,883,221,529,002,455,514,560,226,556,206,972,747,518,
588,737,159,039,612,648,668,790,839,074,568,790,072,820,596,807,013,909,175,
364,829,423,873,681,101,135,680,081,778,339,469,783,766,387,618,633,644,191,
816,853,291,210,476,281,545,307,047,425,469,187,886,144,395,392,482,220,762,
080,545,240,688,752,013,983,976,464,899,082,683,510,084,598,724,484,337,262,
381,269,099,344,098,465,641,723,412,159,043,523,976,218,320,569,469,394,720,
332,809,133,137,056,358,731,736,409,752,937,119,680,147,593,032,448,007,743,
466,496,983,100,258,196,889,635,239,176,466,273,878,260,467,327,527,620,616,
823,276,072,412,762,895,441,706,797,932,582,692,736,885,275,436,358,534,292,
926,831,272,872,193,333,412,026,964,783,562,332,209,199,391,126,015,623,724,
302,530,301,346,611,434,949,247,775,160,811,851,192,020,554,781,887,867,126,
639,119,260,000,789,027,285,304,998,803,480,453,229,486,166,936,873,781,269,
678,619,107,688,797,544,479,401,017,362,841,463,635,572,909,649,626,637,281,
809,561,729,231,003,467,132,267,533,226,808,077,540,816,180,103,640,474,612,
130,780,466,147,684,666,034,473,671,646,981,394,549,992,368,708,458,605,088,
830,299,176,712,753,497,607,908,222,250,590,563,654,002,902,060,665,567,653,
035,402,842,977,485,008,190,519,483,732,745,749,222,370,734,897,213,778,426,
038,214,731,738,942,532,942,687,891,873,262,286,565,316,728,346,134,817,771,
130,255,294,848,480,537,772,798,440,444,342,310,308,467,426,159,122,387,945,
440,658,624,574,308,774,738,726,461,184,008,098,790,538,016,212,632,655,253,
974,428,060,131,453,593,801,774,873,715,137,298,959,131,870,796,183,343,747,
201,104,708,121,339,053,160,854,088,234,598,005,324,178,004,732,332,259,261,
669,484,072,334,521,210,477,490,802,863,208,471,657,992,705,726,100,572,980,
516,344,660,325,160,495,834,609,148,206,625,419,186,422,192,393,485,486,610,
141,004,135,649,068,504,320,944,192,828,887,769,615,152,805,758,086,112,871,
068,729,361,639,050,000,031,382,258,458,865,826,472,546,079,556,601,789,240,
961,793,681,283,650,972,217,789,675,904,912,657,713,332,694,910,573,175,644,
020,486,808,033,390,731,414,358,954,604,574,360,034,029,838,278,642,509,545,
191,738,272,311,105,848,259,218,359,680,724,782,742,383,009,289,289,113,021,
708,017,473,557,466,279,498,267,778,561,162,328,548,848,277,073,675,850,165,
118,523,971,199,562,695,003,534,810,259,831,368,255,560,643,421,030,989,608,
697,214,669,555,216,371,665,433,563,235,561,126,773,495,769,845,129,747,246,
387,550,484,842,129,735,670,518,480,415,412,423,242,388,539,385,803,813,680,
576,688,881,913,440,234,912,284,653,716,002,109,540,912,026,781,394,673,875,
339,596,179,411,004,395,021,318,068,109,776,309,728,885,162,088,823,423,469,
392,387,411,058,230,502,818,693,890,943,655,691,857,287,449,421,983,092,175,
018,369,654,870,556,568,663,220,627,258,254,991,825,864,984,956,129,136,725,
405,214,578,174,314,614,944,051,483,877,721,433,269,647,495,758,669,829,596,
142,215,719,479,311,681,119,888,478,890,932,503,728,742,844,185,186,341,596,
374,598,855,411,103,129,151,124,868,616,827,253,249,463,899,327,487,226,574,
996,071,049,207,519,163,295,782,268,623,115,537,518,941,393,993,763,520,713,
626,035,594,475,551,018,118,007,062,134,760,027,350,146,495,207,914,593,210,
451,482,695,781,237,804,424,809,269,590,156,732,717,978,337,593,099,220,597,
760,797,797,767,337,539,966,673,236,416,790,201,760,168,566,650,767,349,614,
387,388,943,931,171,950,594,646,262,277,890,346,632,449,135,717,851,254,281,
323,440,658,795,237,248,371,454,455,712,663,237,905,991,340,343,491,446,828,
967,102,477,425,165,541,324,759,270,914,883,470,404,232,616,739,448,442,846,
458,677,938,722,413,560,679,652,294,728,248,606,543,167,426,167,216,818,051,
544,645,777,371,069,944,916,897,134,320,932,479,506,016,377,069,084,218,534,
920,248,692,433,383,765,648,859,671,895,533,142,517,645,201,821,913,578,943,
503,511,844,945,230,133,815,279,757,769,214,097,768,759,290,339,116,894,588,
878,306,365,448,156,262,835,907,972,399,549,052,338,411,346,862,597,595,368,
637,226,687,472,894,537,975,450,814,547,309,560,121,707,355,724,083,074,389,
544,141,731,767,061,897,047,468,488,105,432,814,259,605,903,273,178,130,973,
155,382,476,054,666,370,242,263,947,151,930,701,321,529,134,799,923,936,982,
940,511,970,825,065,247,157,108,054,560,159,786,445,263,461,807,148,196,793,
984,849,988,172,662,547,262,320,309,436,688,888,834,896,172,724,494,763,985,
009,633,565,275,738,984,144,847,645,345,870,497,757,220,782,831,438,510,183,
621,863,742,752,840,103,739,239,990,494,312,971,965,674,969,031,501,275,977,
684,750,425,455,730,901,838,741,152,020,089,740,078,266,559,261,388,001,091,
636,268,260,458,853,228,852,706,219,818,419,243,282,455,772,823,111,725,067,
814,505,185,858,229,694,033,036,837,443,609,016,074,258,963,326,724,587,544,
871,418,896,211,932,779,127,865,322,152,863,659,633,902,382,751,393,401,674,
859,429,652,983,605,663,196,261,542,072,281,202,019,018,080,798,561,742,849,
365,509,299,425,327,275,020,277,712,714,364,519,072,352,932,411,221,399,020,
806,629,333,467,069,302,563,864,028,407,350,025,689,134,081,396,469,433,120,
945,949,361,489,852,546,854,522,433,524,703,988,517,855,503,107,419,804,718,
016,154,774,911,447,166,871,894,185,110,139,370,432,370,498,709,122,329,562,
933,452,367,608,598,137,184,951,382,882,984,140,299,193,241,731,759,164,907,
861,359,100,890,891,776,986,719,084,799,274,635,919,799,379,415,180,782,184,
519,185,503,046,559,869,182,136,929,180,767,625,522,494,112,457,446,254,833,
571,378,195,230,988,677,817,099,688,406,335,235,432,805,031,794,802,016,517,
561,554,737,382,176,950,857,088,559,210,929,932,419,260,469,991,696,309,189,
920,366,276,693,294,498,521,514,699,004,367,751,781,938,321,321,298,519,277,
661,803,639,586,672,648,722,689,529,090,492,946,246,756,993,989,253,714,845,
751,731,222,435,332,736,337,605,902,925,399,839,863,688,840,076,071,326,994,
417,133,650,942,862,138,962,271,877,990,107,633,977,030,793,213,210,402,187,
779,695,863,460,968,530,366,477,353,946,134,684,539,580,438,339,390,397,583,
689,063,883,127,178,580,681,276,261,065,900,936,675,973,015,176,882,847,998,
509,384,491,868,613,113,161,433,024,414,845,119,094,720,277,717,325,701,677,
788,303,391,014,128,102,262,547,568,014,704,478,328,194,173,644,376,488,475,
514,907,193,542,394,749,033,978,856,558,000,408,806,397,965,630,188,961,965,
118,041,439,147,611,933,803,948,585,041,333,327,256,052,006,258,733,531,429,
038,228,687,810,732,349,919,824,953,038,023,248,790,945,366,968,957,891,030,
638,764,236,252,595,539,861,467,401,816,580,896,469,773,163,218,926,597,001,
681,041,429,133,886,467,619,066,047,534,352,085,192,234,196,915,682,669,022,
959,459,502,076,586,308,494,068,815,474,428,050,502,889,349,568,271,440,767,
830,913,099,370,516,304,620,681,995,203,831,855,238,099,141,817,481,569,676,
534,498,025,425,772,157,260,800,580,680,275,972,075,700,765,379,412,567,083,
547,097,268,062,082,306,071,144,888,197,458,577,772,303,294,456,866,311,594,
991,377,294,918,380,594,626,225,306,080,695,928,575,499,923,428,020,456,778,
599,547,273,023,557,529,041,813,420,791,735,063,485,768,027,433,117,322,330,
296,430,322,906,927,924,758,225,038,372,800,793,323,937,229,588,674,677,931,
642,662,673,389,982,046,085,661,179,957,312,672,874,743,155,337,746,364,355,
258,508,638,681,253,359,490,711,748,392,140,989,526,913,375,064,147,518,683,
364,558,666,016,349,416,710,327,211,647,557,349,658,303,796,311,958,372,022,
584,755,182,051,875,405,871,718,644,266,465,218,226,249,989,468,448,956,511,
704,505,019,295,901,148,934,071,861,449,532,086,021,296,271,168,111,982,791,
879,526,834,784,397,499,769,041,006,301,152,605,126,976,700,795,348,398,754,
171,682,949,993,671,172,692,389,806,925,469,363,010,628,358,308,085,777,741,
843,488,977,137,283,321,422,697,495,957,372,824,083,906,024,408,983,408,647,
301,828,489,643,241,331,630,541,950,268,987,793,179,295,941,192,114,307,800,
841,849,635,605,674,548,112,694,032,991,098,511,506,851,511,777,193,174,173,
470,921,143,038,453,339,949,382,400,476,513,044,304,704,228,240,304,150,601,
160,080,103,882,837,715,366,370,960,382,063,920,730,107,625,192,270,676,136,
642,113,241,604,571,495,261,197,714,297,652,245,687,706,666,717,004,598,425,
723,477,089,648,199,447,423,558,041,628,201,373,227,478,997,874,508,856,750,
881,125,274,733,204,171,997,006,116,586,809,639,277,294,101,651,853,400,328,
026,900,268,438,371,355,893,833,732,559,673,416,419,316,642,634,288,313,054,
356,960,294,548,457,274,629,482,256,450,319,366,480,442,939,814,031,068,268,
656,658,743,378,111,520,368,433,562,416,263,759,442,395,799,416,730,290,828,
006,231,559,186,475,305,252,483,118,613,350,846,562,423,811,259,164,149,272,
938,664,913,296,210,025,962,595,197,050,556,634,581,526,918,580,414,291,330,
276,243,828,271,615,979,623,716,553,569,083,469,467,147,110,074,419,144,118,
250,990,673,251,630,158,626,467,310,252,637,026,387,853,224,777,547,694,236,
992,509,038,387,695,518,198,438,071,267,028,522,112,457,559,630,654,516,922,
889,701,238,727,768,133,076,206,415,269,380,701,743,813,871,094,340,140,479,
374,470,572,922,290,569,264,844,631,263,054,321,638,860,017,584,128,105,439,
103,883,358,532,956,138,151,161,223,313,410,271,851,479,908,928,109,198,262,
276,073,315,861,930,534,934,035,811,440,540,016,176,411,518,445,698,076,338,
485,851,133,357,386,994,358,057,751,566,765,783,768,624,735,521,016,918,650,
082,872,825,829,443,528,533,107,918,919,567,448,464,925,053,794,386,550,904,
369,401,523,904,561,442,592,311,920,748,411,549,964,721,943,866,363,152,648,
549,816,160,527,725,682,757,284,257,076,259,338,022,496,803,880,002,680,426,
706,589,010,650,707,898,852,755,279,291,519,234,666,514,451,683,953,000,564,
086,197,456,606,853,435,051,497,039,242,138,095,920,526,362,974,824,946,508,
881,349,900,063,617,054,588,293,029,685,376,709,028,146,642,594,476,336,611,
304,121,189,604,073,261,533,628,970,188,426,581,860,859,746,959,969,480,326,
536,468,180,483,643,749,478,489,597,295,351,415,667,681,813,204,792,927,174,
896,053,350,096,480,649,700,936,658,331,931,331,752,973,093,232,060,306,661,
611,156,876,257,953,621,704,136,714,436,049,862,599,598,234,625,242,654,979,
355,295,352,734,454,344,614,226,216,996,202,963,828,007,242,692,915,628,918,
617,107,805,559,361,835,859,937,024,390,471,311,493,958,315,651,469,417,069,
451,705,596,784,488,166,219,988,453,192,935,380,563,279,850,126,938,358,135,
304,942,463,950,171,055,026,701,196,120,270,099,222,772,628,640,037,449,065,
584,259,938,938,199,150,770,706,269,687,290,748,450,509,718,360,854,612,210,
165,726,948,863,483,269,752,620,736,079,953,939,639,995,162,586,950,817,084,
821,701,600,270,513,058,856,115,637,599,248,053,906,085,955,152,766,603,844,
230,580,544,533,000,938,016,733,986,899,960,257,379,624,003,289,905,324,679,
105,096,800,035,335,065,143,905,078,373,470,728,501,469,402,025,983,591,040,
342,061,770,601,651,621,819,296,503,207,671,256,443,485,656,904,688,086,758,
738,042,804,235,875,617,334,664,387,909,677,589,993,003,406,385,118,085,589,
245,366,386,302,828,144,737,031,511,334,906,188,036,550,211,365,830,315,504,
670,904,905,784,848,511,332,292,507,993,979,107,217,742,313,766,007,990,220,
356,628,469,145,514,455,417,403,324,054,178,439,580,464,399,918,970,988,077,
821,362,916,029,034,734,848,532,735,974,314,060,686,526,731,448,516,965,700,
045,205,688,744,252,654,361,667,611,760,552,352,612,959,930,572,537,445,570,
353,568,756,491,047,227,997,770,580,566,880,222,540,557,660,830,381,825,971,
960,997,716,250,561,478,263,133,035,425,008,815,800,896,821,001,362,519,029,
755,332,855,116,379,625,406,787,322,459,391,524,897,186,987,993,492,832,964,
354,528,335,882,631,651,829,191,613,654,529,209,804,786,989,153,985,128,387,
112,865,120,619,256,652,588,035,095,724,775,871,412,298,065,083,550,382,231,
244,381,161,642,523,317,302,737,650,210,415,476,987,433,313,967,368,996,892,
761,622,345,826,028,917,610,689,649,948,752,806,923,225,218,641,937,274,496,
261,449,616,236,099,561,979,743,279,550,064,672,982,110,100,946,540,968,887,
840,031,877,945,880,712,887,064,162,349,876,587,740,186,178,343,446,312,088,
235,824,034,692,399,999,308,614,924,806,436,648,750,290,997,226,874,541,459,
788,686,461,345,265,305,509,569,568,853,505,311,454,303,469,659,971,212,511,
905,792,543,785,192,298,109,280,610,559,144,039,437,805,674,072,725,509,248,
387,794,335,632,170,298,656,256,859,328,400,491,093,429,243,088,135,203,884,
775,729,169,484,121,748,954,690,165,614,657,848,161,804,620,513,944,796,340,
945,031,698,549,404,130,320,460,688,489,771,069,987,356,899,510,871,503,532,
130,166,927,870,896,776,543,917,280,246,697,741,890,917,865,357,681,029,462,
042,997,306,083,289,282,913,058,296,843,503,267,237,900,962,548,484,298,401,
109,031,290,082,431,646,710,320,411,115,456,037,267,860,145,864,447,125,668,
790,588,191,735,953,667,691,053,137,189,826,990,683,681,831,174,191,485,747,
455,749,433,938,475,780,231,693,066,578,556,072,239,667,363,380,680,867,934,
293,598,014,122,263,769,308,026,270,623,192,322,572,886,701,281,246,369,168,
618,273,042,915,396,458,844,986,549,940,191,043,070,945,244,389,941,329,801,
324,920,101,245,820,594,278,073,723,279,079,611,033,353,525,401,078,721,712,
450,690,752,758,569,874,593,946,857,322,430,231,903,689,262,312,701,647,423,
146,269,714,441,370,299,260,600,093,503,597,224,339,587,660,870,750,805,979,
261,517,830,932,583,815,951,653,802,386,116,550,737,347,326,045,744,032,771,
615,916,983,566,348,202,326,943,266,414,264,149,847,943,930,469,661,724,910,
231,723,466,684,535,990,184,246,214,688,730,305,242,620,542,718,015,597,440,
928,219,671,475,529,162,333,882,410,939,842,552,881,400,010,629,131,648,566,
289,909,556,503,419,521,503,788,588,296,267,286,997,278,916,098,401,138,578,
441,598,892,039,258,708,126,017,838,479,492,426,396,181,614,314,033,221,797,
545,800,170,257,486,546,692,698,036,757,913,534,840,311,277,905,577,804,063,
476,213,815,211,232,285,071,190,269,137,812,461,925,554,007,533,315,502,022,
936,023,187,711,096,891,782,021,852,251,530,397,000,144,235,337,070,059,574,
270,986,983,431,036,502,701,101,982,830,398,801,350,783,738,658,772,235,459,
586,909,191,089,891,203,923,028,383,867,220,667,942,194,928,196,548,101,337,
877,496,998,142,502,749,694,146,670,010,783,552,231,955,630,966,351,089,192,
490,496,504,707,575,616,983,856,894,592,857,754,685,076,621,086,715,868,796,
772,082,553,320,296,266,970,277,436,590,309,663,926,020,797,263,385,292,571,
520,965,600,990,374,725,745,810,753,731,344,208,845,307,898,625,193,975,327,
363,363,717,165,654,877,833,856,631,447,446,138,340,842,735,908,513,479,023,
391,833,885,454,826,722,312,713,314,893,680,811,508,181,005,074,506,124,239,
751,479,688,921,668,258,412,100,158,615,680,130,183,767,397,031,186,221,429,
578,287,547,757,641,135,687,118,702,213,817,593,887,224,205,139,489,398,135,
175,704,995,691,595,916,558,347,892,065,651,371,450,607,242,447,684,079,008,
284,122,081,683,048,685,113,804,751,726,284,520,023,980,159,410,534,894,117,
823,942,918,484,530,646,500,975,431,133,798,462,624,461,085,488,348,869,867,
997,498,512,284,004,497,039,797,230,623,221,690,161,918,329,573,300,356,799,
065,349,588,351,165,168,309,600,622,421,885,232,808,863,090,799,045,279,403,
446,677,020,379,570,004,788,297,656,042,486,216,494,556,621,432,291,962,886,
793,380,396,564,152,963,932,294,557,546,660,773,056,947,564,757,078,688,850,
393,231,568,446,673,571,551,119,002,158,829,923,898,684,579,282,302,214,421,
443,890,324,364,094,950,259,125,191,445,428,532,251,449,718,111,775,738,580,
695,641,568,534,644,279,868,776,172,290,069,110,047,799,788,318,133,159,695,
047,847,687,149,055,144,227,919,737,300,793,516,431,850,100,684,131,158,257,
596,623,687,965,994,340,259,757,165,839,264,042,345,702,035,065,453,205,903,
537,847,317,838,826,176,468,991,048,305,615,038,551,013,806,174,958,058,811,
304,483,447,577,646,564,441,241,107,622,153,464,333,541,837,998,462,522,427,
953,383,413,135,829,137,860,507,472,721,270,938,291,091,167,885,342,239,412,
017,425,374,818,935,226,060,230,936,240,599,616,884,739,951,790,763,216,038,
579,452,067,355,151,983,983,324,056,475,538,480,535,237,524,764,893,301,654,
359,279,422,184,070,572,571,860,904,133,051,047,999,687,177,815,749,644,215,
914,688,467,103,410,165,377,892,341,335,590,107,644,782,292,185,248,777,927,
293,383,083,139,194,210,314,807,201,092,442,644,614,060,897,683,433,443,463,
508,403,259,055,963,945,186,507,704,262,615,940,811,920,192,070,631,742,003,
762,240,372,557,835,960,639,454,357,463,980,465,081,958,023,548,719,148,218,
694,666,060,780,368,770,467,257,783,908,117,975,270,111,096,175,519,210,415,
730,308,950,513,585,007,589,439,735,272,474,622,475,458,180,830,829,436,343,
502,860,181,316,771,044,758,325,053,085,513,618,142,014,552,090,500,106,668,
588,912,165,532,897,592,561,656,442,252,013,405,735,460,997,137,953,897,802,
619,211,712,807,559,795,175,086,776,216,277,866,716,885,049,883,798,353,082,
909,973,377,183,094,666,556,699,442,856,125,308,406,648,053,730,788,560,545,
832,476,071,848,959,887,183,033,348,669,158,841,841,774,773,340,319,773,448,
115,170,530,550,720,116,534,361,338,266,731,351,483,929,719,832,247,745,936,
966,277,384,908,753,033,414,355,567,750,958,585,954,170,610,592,162,348,933,
981,529,873,937,854,958,387,118,203,965,135,504,994,129,283,670,468,618,998,
459,887,332,219,458,421,253,579,101,682,600,478,143,341,428,882,216,022,113,
985,568,324,242,056,609,781,076,507,794,547,333,835,219,865,778,007,810,377,
579,264,587,032,668,014,397,492,645,328,215,512,493,301,806,350,678,346,768,
785,784,486,556,920,386,052,877,411,609,570,838,725,860,812,171,531,547,601,
599,218,759,450,849,558,694,100,642,974,290,189,761,853,351,217,888,597,743,
777,121,761,495,502,383,034,046,312,500,965,621,503,611,803,360,243,720,514,
508,339,797,495,472,806,033,080,354,359,395,882,378,565,328,686,073,313,310,
192,867,762,813,354,127,067,678,976,452,179,822,640,645,570,278,555,325,615,
817,707,637,572,575,647,708,612,641,610,612,707,427,496,490,119,985,468,548,
876,151,918,522,158,769,889,845,792,174,095,109,734,100,948,033,470,504,456,
091,974,706,973,463,883,937,605,479,732,842,926,540,840,083,327,844,204,798,
667,348,952,766,012,333,048,457,827,610,529,360,474,788,034,992,416,511,388,
155,515,967,962,791,085,627,420,563,191,361,471,946,334,688,003,637,961,447,
710,259,896,668,115,248,247,129,397,888,937,118,525,018,062,185,219,511,188,
387,973,090,371,522,067,400,170,884,009,893,741,329,129,175,368,013,803,122,
668,590,569,682,215,141,274,459,643,706,651,260,825,719,484,580,186,344,525,
860,751,373,842,975,788,132,849,484,483,341,695,954,954,120,574,724,270,735,
021,689,164,024,440,626,457,490,081,266,692,221,379,396,994,714,526,386,480,
563,673,848,677,906,455,900,415,325,475,558,337,748,275,183,037,280,825,880,
346,814,504,516,560,545,661,665,531,169,276,198,010,726,352,600,369,991,202,
223,550,490,255,602,799,207,491,826,549,906,649,603,528,331,922,266,171,175,
969,531,599,213,699,328,332,308,413,774,318,968,764,406,867,555,411,481,895,
320,449,566,748,960,239,893,120,538,087,705,531,978,527,312,514,421,670,800,
494,323,589,412,978,879,830,627,695,387,884,598,627,893,371,874,535,208,518,
913,946,648,846,334,698,939,455,069,094,567,906,052,929,744,287,192,824,553,
190,211,222,267,259,440,436,658,811,090,182,033,878,035,619,471,838,721,192,
309,966,305,348,306,120,006,105,174,229,461,000,956,105,975,494,575,011,405,
104,527,568,155,743,466,693,085,874,077,955,326,971,777,735,467,432,466,253,
927,311,893,872,521,916,439,321,458,868,258,693,402,326,671,417,021,259,793,
148,151,365,579,363,250,923,092,357,804,224,549,706,275,882,714,514,729,489,
428,028,836,157,155,103,095,488,389,170,674,110,004,360,830,719,760,290,360,
343,436,758,217,222,083,005,662,867,230,121,635,966,477,093,298,609,478,413,
123,852,400,118,839,077,739,677,880,452,913,112,331,851,558,932,431,639,482,
980,613,601,283,087,312,714,927,327,170,139,299,865,415,405,987,686,450,768,
056,859,643,815,490,903,393,311,006,225,244,550,597,112,878,019,012,583,752,
520,475,559,325,792,436,877,626,688,293,498,923,484,962,365,194,504,236,733,
109,815,878,197,268,475,120,834,096,431,352,269,053,210,263,450,270,277,351,
426,210,426,914,204,951,964,453,971,960,003,887,121,431,834,792,263,061,720,
336,287,334,410,295,478,331,978,387,119,932,916,583,422,346,576,244,265,266,
247,398,326,584,854,303,751,099,349,128,968,424,591,642,669,582,229,839,001,
242,254,280,471,581,316,267,555,913,759,599,836,686,834,296,918,301,396,570,
856,644,454,293,370,220,271,969,948,227,404,779,026,519,252,756,218,235,340,
475,854,277,421,630,569,292,304,936,859,626,025,771,501,595,570,220,548,585,
346,001,243,551,441,040,258,913,332,387,338,461,122,428,895,148,888,535,851,
091,164,955,719,539,767,230,638,853,698,802,845,819,477,768,869,234,357,890,
581,575,164,529,460,725,635,571,501,126,861,107,637,241,659,775,689,644,056,
687,717,316,822,574,710,289,923,903,213,565,307,363,384,686,162,345,420,028,
390,870,465,761,955,850,566,353,232,496,643,487,930,598,096,525,611,955,800,
287,471,050,424,629,844,710,697,206,809,822,193,182,031,148,939,062,956,882,
147,494,296,784,760,507,618,195,042,552,901,024,792,971,627,635,366,975,262,
234,718,800,154,580,200,888,154,736,898,767,364,862,365,094,314,241,248,380,
650,209,659,218,352,772,330,654,754,978,238,954,736,617,694,724,244,846,161,
535,206,331,646,356,263,396,874,944,706,478,678,605,647,969,340,485,374,765,
828,112,530,866,884,466,077,894,620,432,854,512,387,226,399,311,581,145,238,
439,721,844,482,354,867,080,083,944,439,886,431,572,778,674,105,375,295,988,
658,240,287,509,236,122,217,411,992,489,147,714,802,698,281,638,578,016,928,
915,577,435,155,658,566,337,380,059,275,550,695,020,406,904,122,543,572,646,
870,424,677,818,817,677,736,535,502,767,980,669,633,167,528,773,745,065,333,
898,318,463,040,891,561,560,136,638,011,866,978,294,966,083,972,512,834,834,
441,139,196,669,146,286,466,537,667,622,660,229,481,112,700,268,486,205,503,
217,871,783,803,362,086,952,608,153,843,965,468,029,180,112,033,928,345,365,
409,124,088,542,921,418,125,395,553,923,079,789,075,836,343,022,977,017,285,
551,017,698,432,748,858,719,436,515,177,781,566,852,059,146,250,833,925,368,
247,565,859,449,514,601,161,139,409,973,993,359,032,242,683,142,521,465,453,
744,552,074,230,703,234,688,736,793,521,680,459,153,904,904,396,668,200,215,
229,069,733,669,419,903,254,798,082,075,254,283,659,601,540,861,747,289,301,
227,246,617,557,529,351,730,981,939,028,274,735,093,006,675,236,781,320,513,
500,896,580,723,000,405,635,030,989,752,530,590,630,824,732,165,942,345,259,
959,329,546,427,420,518,398,840,969,499,399,032,519,008,179,776,234,284,734,
178,347,765,214,590,002,534,611,844,394,579,492,296,122,195,604,223,950,514,
036,651,599,074,720,365,289,675,985,979,667,412,834,256,561,303,834,296,304,
848,739,545,591,670,220,238,571,043,977,507,441,197,617,864,287,295,733,184,
446,676,900,861,394,515,093,139,397,046,433,031,002,938,841,234,842,388,311,
452,154,538,903,175,927,765,380,014,629,019,160,821,338,818,320,725,196,693,
991,588,382,328,047,265,821,995,674,451,074,921,012,087,839,440,368,794,819,
920,440,094,723,991,518,138,537,363,923,501,499,256,656,775,030,148,614,264,
195,483,210,237,974,351,333,224,957,408,743,660,086,222,775,854,640,558,913,
287,223,429,305,676,187,778,965,877,673,441,267,229,184,607,834,355,682,816,
271,471,012,660,263,371,033,778,785,304,046,965,594,671,215,443,936,285,191,
304,848,497,414,695,015,173,770,842,744,779,002,038,191,379,009,227,715,052,
644,047,884,547,265,074,582,055,352,418,648,432,906,260,843,581,064,597,797,
692,964,123,905,317,039,612,319,999,763,350,301,178,848,817,773,921,938,953,
846,664,706,868,760,954,276,921,080,776,682,931,900,172,011,344,473,227,701,
797,457,768,153,542,794,322,906,123,978,836,502,192,342,138,624,802,515,634,
634,001,921,178,783,273,148,374,483,496,417,115,817,764,608,357,299,378,847,
039,095,682,088,448,294,970,030,811,981,446,986,961,151,982,785,163,320,156,
300,251,511,728,603,056,212,314,343,898,394,068,396,939,276,002,676,915,491,
607,038,934,880,128,090,405,256,241,261,326,374,418,971,528,559,557,356,370,
918,570,757,893,643,548,484,053,409,149,891,293,524,772,233,645,723,607,406,
104,706,020,816,874,496,091,330,428,522,466,608,866,681,520,767,391,214,936,
493,635,592,547,994,763,342,791,383,788,068,618,589,029,115,281,749,303,304,
474,066,031,195,016,957,456,466,300,490,285,782,957,070,204,544,523,175,537,
730,967,787,361,082,046,592,893,349,767,392,250,295,739,665,761,305,697,372,
934,485,381,825,363,866,898,617,281,034,330,309,977,801,369,300,437,210,298,
019,088,489,204,642,505,177,363,598,828,924,105,444,370,856,546,426,725,330,
873,154,482,938,777,511,702,599,248,748,644,396,542,810,484,483,324,795,742,
985,030,642,271,349,982,957,157,346,261,742,029,926,900,845,247,724,933,216,
864,919,682,341,921,435,062,397,309,089,804,172,128,666,333,582,930,262,849,
005,491,283,211,650,397,141,750,088,440,870,388,423,636,090,267,029,750,053,
249,457,440,268,854,938,030,305,442,299,554,037,906,671,192,028,308,773,928,
580,188,016,497,956,065,221,368,330,084,489,857,947,654,760,563,910,647,719,
673,371,508,726,412,948,627,181,795,198,820,880,123,306,640,650,589,090,539,
749,602,437,240,634,974,136,502,297,490,989,702,621,384,327,923,881,827,343,
632,580,955,420,726,304,383,177,717,769,843,526,942,627,779,211,624,679,951,
779,049,620,438,989,796,492,118,318,906,725,027,374,311,249,071,674,311,402,
971,520,123,500,209,125,166,242,498,059,574,464,702,056,196,875,148,192,796,
765,347,969,277,282,605,394,629,100,306,381,804,741,488,254,116,216,347,147,
241,884,122,165,935,251,307,438,390,792,890,713,032,209,160,877,253,830,025,
065,432,558,097,400,311,557,768,735,505,930,634,879,556,200,556,421,723,655,
941,618,978,914,070,757,051,551,762,902,366,587,810,432,105,613,031,962,720,
169,419,063,497,460,764,587,547,905,546,847,074,185,407,822,255,725,023,768,
952,994,097,016,251,114,196,658,349,601,798,396,269,659,917,220,130,450,735,
094,444,500,258,221,721,791,381,694,742,493,061,500,380,970,488,507,778,173,
589,698,200,887,918,242,405,235,278,947,293,890,143,698,740,066,980,637,301,
909,300,556,356,794,468,108,534,225,044,121,923,571,341,606,523,700,161,543,
221,616,684,264,542,327,662,528,126,288,383,974,825,847,827,862,883,073,280,
319,798,301,428,320,864,012,217,582,140,874,027,307,060,863,730,788,613,055,
271,347,239,285,638,962,127,448,629,042,855,886,073,492,368,569,206,896,838,
110,768,629,098,697,930,073,812,530,408,934,972,739,490,532,634,287,003,920,
758,830,849,790,452,351,229,893,121,720,950,695,111,748,397,234,496,045,772,
038,610,769,296,246,429,052,972,584,115,119,915,890,581,566,211,471,986,487,
814,355,788,001,404,686,147,489,753,773,383,388,190,500,664,213,865,604,375,
124,390,507,060,379,845,171,175,621,725,530,012,506,282,826,107,608,998,299,
935,732,642,840,883,157,629,280,088,449,977,198,387,423,590,536,818,215,358,
797,984,529,027,241,374,950,386,110,766,467,876,193,636,821,339,428,109,919,
481,621,028,409,799,188,554,039,876,611,351,837,350,085,516,947,381,192,090,
451,172,700,003,328,151,730,907,473,234,525,749,928,688,301,530,057,353,212,
481,393,523,094,322,138,983,237,050,241,287,587,431,001,340,488,755,968,892,
537,764,738,500,501,217,002,400,644,140,753,104,411,860,970,995,679,615,678,
699,812,447,604,939,285,766,707,677,424,295,380,848,023,362,216,592,668,991,
695,229,523,286,073,444,592,546,398,928,260,816,056,360,810,005,338,286,574,
013,754,768,474,787,329,971,224,437,637,553,481,084,948,042,585,254,483,839,
911,976,896,980,406,534,845,302,769,111,968,386,956,856,641,998,228,118,418,
235,868,618,096,192,353,775,559,333,924,618,075,548,376,664,259,400,336,994,
787,671,154,656,204,204,284,121,983,649,763,737,889,119,902,889,882,693,104,
568,398,464,243,186,974,210,448,480,791,140,563,730,919,428,573,642,683,435,
631,974,100,502,435,412,903,985,775,377,140,950,862,594,357,461,054,825,731,
846,027,140,036,095,687,564,728,612,920,013,832,900,449,780,517,894,964,377,
615,439,934,156,939,865,240,361,801,795,549,734,241,651,253,379,762,678,377,
420,608,667,739,064,292,856,574,914,143,197,602,892,053,564,008,334,079,041,
306,086,782,552,531,901,080,102,656,129,072,638,728,937,177,159,083,967,387,
796,601,038,226,445,944,632,130,392,868,515,362,352,301,658,335,071,791,597,
071,360,959,933,295,879,842,023,429,006,433,436,919,984,032,303,410,880,441,
913,177,552,569,048,820,084,417,960,323,047,713,734,624,922,855,272,499,737,
995,633,846,439,725,928,447,829,474,918,089,603,292,104,693,152,594,789,069,
431,948,784,218,177,844,405,493,664,894,960,999,437,160,710,224,548,248,022,
507,041,366,310,768,273,218,972,118,720,589,192,461,942,016,655,720,604,794,
045,163,004,476,996,412,545,294,494,005,040,701,487,865,646,983,259,466,402,
878,814,022,150,638,097,521,660,533,755,672,651,192,121,880,065,009,090,917,
635,106,065,847,878,490,879,254,650,232,705,293,760,107,996,513,132,591,919,
783,071,728,724,711,160,983,063,216,516,674,175,482,128,787,590,503,334,127,
892,158,362,171,169,783,356,405,651,271,507,852,885,293,925,668,611,686,101,
828,431,441,861,363,864,134,765,226,383,148,310,500,458,335,926,991,357,116,
645,106,727,652,841,525,697,167,430,670,258,644,536,069,583,240,811,210,220,
525,541,551,479,539,604,149,793,775,106,311,542,155,949,021,726,308,228,939,
695,062,793,452,012,618,537,188,553,737,980,595,257,321,313,213,366,428,390,
059,520,325,353,895,849,805,826,765,335,231,369,226,432,733,360,048,776,791,
205,007,334,172,953,875,253,528,277,086,971,549,794,606,686,514,262,708,575,
626,456,776,615,296,535,550,151,413,143,580,798,872,460,700,529,375,931,147,
284,314,891,945,300,792,460,783,869,150,779,609,921,052,409,018,410,865,251,
362,034,531,716,737,296,852,141,232,712,587,815,152,539,194,614,971,081,497,
891,798,876,018,714,822,127,410,659,695,477,351,397,126,270,081,704,011,597,
603,155,931,749,953,750,769,245,559,024,555,503,584,721,886,558,220,438,817,
395,287,643,243,660,263,796,128,831,765,398,403,678,977,343,670,126,547,157,
138,201,790,198,282,360,063,030,368,659,504,541,526,700,560,238,806,093,986,
401,279,474,341,648,908,563,040,863,001,304,988,404,292,739,540,168,744,089,
614,084,884,161,603,960,653,583,553,167,907,203,938,337,240,684,895,292,516,
851,409,781,504,756,171,784,945,290,005,374,348,049,872,912,818,452,910,646,
890,823,855,977,666,141,219,821,378,100,759,352,556,432,416,354,803,318,870,
292,614,170,147,439,669,459,613,032,575,268,841,502,205,844,216,705,836,660,
267,944,975,563,740,875,146,094,715,150,503,129,576,005,339,993,667,623,439,
718,397,113,249,963,121,028,088,566,492,754,294,457,699,152,541,900,157,278,
971,071,218,703,598,284,645,313,234,760,244,634,119,748,043,042,123,728,389,
161,033,033,954,033,444,749,482,885,460,531,221,466,696,773,267,504,275,209,
189,470,720,704,922,534,609,291,984,406,800,836,960,236,279,233,606,681,974,
538,558,698,743,444,838,730,054,181,281,418,989,724,742,557,277,873,638,935,
906,246,302,651,604,370,541,886,559,694,383,518,394,990,930,438,178,368,180,
648,887,937,711,961,727,312,996,495,797,751,805,914,013,975,588,880,774,024,
354,091,227,595,567,499,874,480,413,744,808,082,358,488,147,194,867,677,686,
417,515,311,465,892,388,018,327,149,999,280,207,609,997,795,618,176,372,711,
939,090,430,079,255,431,551,235,639,873,630,065,663,839,088,954,469,954,909,
131,293,126,479,763,533,374,459,316,992,469,049,654,577,442,758,045,906,467,
303,642,005,930,552,997,454,522,943,111,813,118,036,178,027,151,063,531,427,
511,346,555,401,939,245,510,438,101,618,628,310,827,953,657,503,500,571,584,
057,363,250,953,881,749,609,767,749,576,177,540,376,383,464,714,422,417,823,
002,804,233,947,088,712,650,512,308,830,468,754,970,714,520,953,176,082,647,
427,946,270,673,051,753,133,676,948,218,391,387,976,426,224,572,396,210,269,
247,976,234,637,708,828,212,823,552,932,628,825,597,992,152,056,632,077,391,
866,049,540,377,809,402,172,098,850,326,041,028,642,636,292,436,687,287,901,
718,542,594,660,075,884,461,749,631,824,184,415,249,473,938,042,017,225,093,
287,111,507,071,910,036,145,929,060,546,857,387,483,203,311,198,776,519,148,
561,983,379,291,220,933,155,434,705,415,598,506,616,214,021,995,820,600,892,
301,012,076,332,678,769,898,169,622,024,991,585,673,120,806,076,236,057,081,
430,158,660,935,640,679,429,630,850,219,627,164,213,672,227,867,673,812,905,
163,520,446,656,793,630,738,444,458,611,424,546,468,724,773,162,825,437,189,
673,202,957,564,829,073,476,162,000,379,163,528,517,762,695,506,828,767,453,
612,065,645,120,028,740,992,941,620,654,479,320,998,684,339,309,102,223,986,
318,017,610,870,834,790,996,195,507,286,283,441,127,205,088,882,618,127,768,
435,669,457,588,966,096,158,493,882,797,164,230,095,341,203,322,599,201,724,
909,243,810,397,229,286,899,653,911,200,882,011,400,249,222,718,389,726,685,
717,919,063,953,753,723,278,727,873,697,859,458,476,810,363,519,650,013,096,
191,999,032,028,020,312,371,205,839,621,906,617,639,901,454,116,310,581,081,
622,637,477,870,436,724,136,256,181,170,404,384,335,172,685,155,565,837,890,
962,550,598,554,879,342,076,362,359,784,272,471,227,114,704,817,724,599,507,
117,753,393,423,335,093,515,999,030,752,415,137,449,526,831,013,567,641,818,
760,096,859,191,038,630,848,039,417,639,266,933,798,364,690,017,097,235,137,
836,051,764,734,985,163,463,491,002,048,523,913,349,442,117,261,134,388,975,
890,685,089,516,066,996,404,346,762,325,814,614,693,459,639,576,403,432,087,
034,840,954,217,978,638,439,305,034,815,647,930,769,274,223,554,463,500,633,
424,457,140,102,141,222,031,666,834,352,846,347,801,452,618,189,425,199,448,
740,057,873,678,719,763,091,528,048,732,002,145,073,378,942,909,951,743,547,
348,369,667,904,690,776,447,314,093,477,513,339,349,308,094,174,586,006,784,
571,314,522,231,732,134,869,389,168,017,510,549,135,317,084,089,102,938,440,
468,466,462,788,070,800,107,873,403,977,525,900,945,738,288,333,441,927,518,
020,879,365,037,423,370,881,060,746,002,000,798,062,241,232,754,454,504,074,
534,042,468,819,525,410,464,673,116,701,763,946,428,192,326,955,210,432,685,
980,458,673,321,965,374,000,164,866,775,450,766,332,819,530,975,786,248,844,
526,040,751,215,426,941,708,837,338,034,736,062,639,876,164,698,866,382,063,
693,607,649,879,867,977,942,789,879,411,462,737,170,924,122,985,047,496,451,
686,236,504,741,443,072,603,002,250,933,901,921,175,755,900,991,052,981,680,
181,083,477,675,911,479,601,505,522,313,291,214,646,517,202,832,341,086,441,
291,073,723,857,370,560,961,655,295,144,408,382,282,208,227,435,232,981,092,
849,714,848,000,866,449,762,443,643,501,655,659,552,109,439,554,750,363,978,
255,901,096,886,292,431,447,976,763,443,710,642,057,632,158,900,514,020,383,
957,569,269,942,092,307,838,743,406,092,964,822,804,097,459,280,544,660,147,
769,320,617,463,618,439,082,865,895,416,095,584,576,308,037,351,215,966,230,
032,258,040,698,020,194,881,546,544,985,705,444,773,050,534,510,310,802,812,
523,057,711,506,765,247,552,153,106,844,240,551,877,894,118,244,062,045,193,
165,689,278,793,051,514,645,301,370,148,633,577,749,987,445,509,827,877,148,
518,275,261,789,732,004,693,284,608,797,097,668,267,504,706,425,613,378,765,
167,110,080,486,496,049,021,769,473,303,848,202,460,397,946,893,262,925,554,
065,718,262,259,760,573,337,687,015,720,239,404,796,035,686,200,301,380,797,
758,167,955,170,431,093,577,567,161,218,723,097,388,726,471,749,914,386,206,
653,467,782,045,331,492,471,973,648,253,791,094,273,254,286,979,405,637,284,
194,669,004,695,447,855,807,654,160,525,717,620,801,054,763,963,220,539,218,
476,833,945,924,035,181,899,706,049,349,941,564,777,573,647,944,246,559,290,
523,649,499,967,792,803,836,433,916,061,668,083,219,705,521,890,700,257,002,
857,063,006,022,883,910,284,845,270,077,615,543,512,820,088,366,917,018,454,
073,925,816,890,977,662,472,714,011,416,695,213,956,285,368,133,555,853,559,
880,206,181,513,441,591,579,299,502,423,225,071,010,954,728,081,198,870,714,
010,428,317,810,414,469,549,646,866,337,841,448,402,373,905,525,908,397,338,
852,478,850,086,900,929,712,847,904,884,169,170,887,742,342,723,476,913,792,
430,301,131,699,975,602,258,189,488,389,258,548,743,512,381,026,571,932,064,
964,344,571,264,158,157,973,913,956,750,319,417,304,341,929,297,781,555,743,
871,635,242,908,466,334,632,151,048,318,376,495,596,621,125,012,154,024,363,
436,025,154,193,162,571,019,527,525,033,468,442,828,700,130,096,008,043,243,
197,552,506,485,163,836,927,904,677,711,106,836,546,172,451,634,845,004,031,
132,810,039,803,686,414,398,450,559,432,550,075,380,494,930,024,760,412,171,
827,564,104,941,635,100,496,161,811,126,669,057,065,160,868,912,767,281,992,
379,897,439,741,778,379,801,496,260,039,991,291,165,312,284,233,605,449,363,
211,807,656,942,895,400,375,759,222,980,086,709,135,187,663,970,521,068,924,
955,216,168,922,522,556,619,769,132,643,607,623,213,276,291,233,048,287,784,
171,257,544,728,213,938,238,404,992,333,871,275,941,075,135,781,569,254,613,
583,111,795,866,386,778,896,258,439,039,350,893,683,817,243,493,596,971,716,
178,885,644,444,260,693,089,722,664,051,198,739,298,224,281,125,795,203,254,
662,583,551,052,710,540,427,132,574,728,842,546,999,184,555,000,074,705,878,
706,757,923,867,072,388,973,586,479,712,565,997,590,699,230,401,742,573,708,
499,980,616,345,481,996,188,203,153,223,689,240,869,574,278,633,077,378,256,
769,819,920,987,002,598,830,084,185,552,149,426,345,115,351,039,510,517,818,
356,530,829,142,762,357,263,098,082,871,871,487,975,909,060,747,020,632,414,
266,897,992,594,089,429,640,352,028,346,374,870,737,687,972,346,773,246,296,
633,223,178,009,342,711,787,529,261,773,394,729,556,191,673,172,540,459,193,
524,014,543,327,455,027,734,892,532,461,602,317,637,898,648,306,788,588,376,
182,523,952,351,920,233,924,899,565,208,873,510,595,592,082,090,501,699,373,
313,107,443,983,902,918,842,386,897,640,094,524,212,769,003,739,818,383,732,
333,652,675,808,876,464,652,769,067,128,687,129,761,719,192,069,210,790,036,
904,439,693,437,800,557,632,723,156,897,954,501,585,191,406,425,910,029,201,
648,666,158,546,335,931,088,152,989,500,093,156,471,216,312,103,249,127,412,
093,869,143,562,015,265,227,853,806,296,448,424,292,308,963,616,866,093,533,
272,968,064,434,749,216,849,212,219,544,657,486,083,335,690,562,599,092,351,
509,652,303,090,705,781,583,708,004,858,307,276,932,968,952,512,509,967,154,
052,413,792,957,490,345,687,477,439,432,521,667,224,617,517,308,608,744,727,
487,438,838,590,276,331,599,930,069,814,312,123,169,678,023,382,830,351,904,
868,030,693,557,872,569,588,583,822,063,250,764,009,559,660,058,123,651,687,
278,558,574,976,111,533,098,743,939,547,478,760,699,982,190,700,939,061,937,
264,468,366,485,326,585,293,703,716,345,776,815,238,112,932,478,000,766,855,
110,928,414,212,176,299,960,209,401,676,107,927,096,941,123,125,718,816,441,
829,483,417,889,628,334,519,254,228,032,382,136,091,055,653,492,156,868,042,
033,766,413,737,200,823,871,065,070,074,639,943,726,201,140,769,736,504,389,
186,046,517,655,781,170,034,039,097,278,031,660,117,299,080,419,510,459,191,
709,109,473,314,213,273,322,269,713,603,580,199,259,214,101,701,323,538,373,
460,319,504,553,929,095,179,410,294,004,856,686,248,868,603,076,104,379,690,
097,733,997,708,774,564,085,013,830,177,846,575,898,254,768,599,871,778,687,
575,211,117,437,422,038,115,143,878,834,889,347,611,491,879,527,008,070,942,
005,853,049,845,279,514,574,913,824,884,833,493,349,845,962,793,009,301,155,
362,567,713,196,771,144,996,472,356,208,881,572,845,427,019,050,226,394,950,
440,837,517,466,299,161,524,933,969,903,707,941,675,830,496,070,489,685,899,
932,868,249,360,459,972,786,437,896,388,876,035,163,602,785,838,034,780,542,
036,309,472,604,842,732,674,442,707,579,476,730,307,693,365,190,836,137,741,
051,753,735,107,981,435,050,049,197,578,266,154,722,735,134,062,681,813,672,
170,531,436,253,506,039,779,473,475,656,803,971,288,886,142,597,599,147,841,
225,322,936,341,857,961,178,816,981,266,527,864,919,166,757,462,029,385,655,
088,314,811,372,179,268,661,154,873,879,248,519,444,181,865,112,662,986,778,
768,654,771,669,765,952,430,477,214,755,984,497,578,482,246,674,414,770,424,
741,552,747,142,060,329,425,245,239,547,127,499,648,623,263,517,074,914,258,
279,309,748,974,956,171,409,547,163,772,260,629,347,127,924,285,551,185,865,
983,397,355,781,210,300,574,963,388,826,498,357,466,136,212,215,646,135,306,
183,828,384,096,742,161,257,182,884,802,561,119,479,872,170,550,370,750,173,
631,753,038,974,799,195,794,414,499,602,152,383,994,404,487,179,378,707,336,
072,916,650,167,250,071,046,519,187,107,928,807,240,401,715,007,783,004,982,
813,155,023,936,575,210,741,339,319,081,060,652,384,687,740,967,612,920,113,
132,579,919,735,819,189,431,583,839,521,159,627,620,712,839,199,169,650,780,
504,631,811,947,234,060,715,547,660,483,552,183,785,226,934,768,475,960,181,
151,270,356,926,029,189,591,600,137,041,312,763,562,326,192,295,407,658,210,
038,630,943,539,967,685,565,264,036,757,841,834,734,995,463,011,967,006,223,
336,347,202,075,244,254,689,919,301,283,157,085,004,026,605,692,661,979,139,
271,725,529,805,789,259,521,876,784,243,187,222,751,650,797,249,951,716,823,
242,110,449,203,151,349,297,803,732,244,805,790,636,066,898,852,094,826,253,
971,331,002,947,217,446,855,392,926,859,939,262,016,669,790,107,093,236,080,
198,189,965,508,334,290,984,244,874,674,073,626,809,165,927,039,010,281,808,
506,871,738,462,252,934,628,467,868,117,756,521,595,566,161,626,003,404,773,
917,779,581,737,700,131,415,869,354,105,366,078,684,346,495,528,544,986,007,
822,435,448,449,308,751,196,659,433,796,159,714,474,588,285,561,608,983,606,
985,917,511,804,186,636,946,216,085,265,576,106,817,106,392,129,904,051,578,
977,152,469,555,667,502,009,352,089,049,679,407,565,456,334,844,791,943,730,
386,035,136,564,598,993,437,221,412,235,048,228,623,914,350,110,744,752,248,
566,983,483,796,805,003,529,175,222,669,658,673,796,374,956,339,036,926,932,
922,410,193,065,666,178,317,062,495,114,693,691,974,212,357,746,319,890,022,
339,563,138,287,323,359,561,809,278,546,310,966,467,047,445,235,903,226,316,
849,853,602,043,733,563,664,764,564,867,095,030,092,074,692,582,142,938,225,
748,792,053,555,101,449,946,601,456,977,316,975,188,678,350,012,882,241,632,
933,233,664,048,387,390,646,488,112,182,123,610,354,898,802,283,549,200,651,
891,138,499,634,560,031,388,315,446,655,420,186,151,654,673,807,705,710,236,
286,099,448,745,695,723,894,309,375,921,550,188,695,391,334,065,078,604,709,
659,545,802,963,168,025,543,752,766,122,163,027,331,017,748,868,180,603,108,
117,716,527,188,962,069,866,128,164,872,645,865,052,511,942,617,302,662,798,
808,233,246,957,927,134,820,615,612,875,526,600,825,010,479,143,710,104,549,
744,759,943,963,827,186,230,130,829,552,816,123,910,878,874,042,324,028,519,
342,966,057,031,748,184,895,220,174,680,829,144,639,097,330,481,995,809,043,
189,583,489,481,712,958,813,860,763,461,989,573,056,316,801,919,959,789,615,
670,316,785,857,560,779,741,804,928,302,154,291,720,677,741,076,310,917,440,
193,314,368,894,320,544,671,047,505,227,854,628,492,664,566,661,388,864,256,
496,281,257,423,512,554,767,501,043,972,490,974,217,825,005,065,898,570,336,
457,830,384,610,828,186,462,945,712,382,310,567,147,503,744,359,207,468,109,
194,078,807,324,406,756,727,801,247,849,471,203,632,363,793,173,931,484,759,
550,838,282,014,108,341,450,312,915,570,573,312,695,155,409,964,953,752,738,
045,997,060,605,102,286,293,410,371,627,570,968,474,935,522,260,272,444,718,
357,537,003,021,165,928,004,932,619,288,820,002,144,619,659,663,372,443,919,
028,253,805,630,264,051,641,606,382,052,009,252,916,462,065,556,854,509,935,
337,539,463,304,666,633,771,899,712,598,584,050,563,807,912,899,276,542,941,
805,498,359,892,404,693,147,581,004,349,280,350,332,801,101,160,937,400,597,
007,563,230,963,376,072,850,610,935,510,752,436,159,162,865,515,654,071,373,
548,876,995,476,397,030,102,850,791,338,496,447,900,590,352,432,652,495,227,
293,530,357,506,184,679,108,772,980,987,641,021,844,969,687,548,869,372,034,
174,163,761,662,143,859,408,982,090,113,573,594,578,526,088,421,932,078,173,
556,962,639,456,952,894,583,531,382,884,988,223,573,151,778,811,415,956,466,
684,069,688,388,316,432,980,440,371,703,761,707,393,768,749,061,970,941,558,
099,067,928,062,769,969,460,116,607,372,264,107,236,090,206,353,796,535,305,
289,028,019,754,385,330,920,875,786,842,579,939,822,152,875,388,712,140,535,
008,937,916,234,748,517,074,529,091,325,201,797,452,139,822,294,788,513,638,
432,060,990,549,787,805,289,345,130,024,283,200,585,458,577,320,788,307,203,
954,624,041,008,913,476,953,697,560,261,421,857,628,697,655,133,770,772,285,
218,828,875,118,367,371,472,487,009,020,528,261,434,992,373,869,696,493,855,
304,677,172,731,766,802,072,394,438,705,307,246,899,803,783,784,432,275,560,
227,580,419,146,233,798,957,220,775,751,929,762,555,777,194,834,482,588,945,
365,994,778,520,463,693,738,156,351,173,140,756,471,440,327,300,105,866,871,
879,549,095,620,218,518,979,591,943,790,644,224,522,745,890,384,509,256,829,
185,339,388,372,887,523,623,626,431,917,058,375,427,270,448,698,170,620,455,
623,127,926,631,836,324,233,451,115,714,827,237,840,525,836,765,004,073,314,
440,972,886,726,628,747,138,396,033,355,958,704,661,763,234,719,381,495,678,
422,935,582,396,490,526,862,089,803,962,010,092,405,768,608,361,990,072,063,
541,859,324,130,398,770,339,188,567,007,469,067,220,226,524,128,673,645,679,
512,337,177,489,475,594,526,804,543,102,041,264,596,989,809,091,241,704,051,
699,899,046,196,832,842,711,961,740,196,428,642,090,847,916,764,313,463,282,
999,958,116,435,995,996,957,088,047,198,439,367,564,024,962,923,320,630,236,
266,343,305,756,381,383,036,231,062,061,112,079,851,490,387,019,285,929,810,
558,345,721,004,789,477,259,027,451,691,544,613,138,964,577,408,094,407,145,
072,730,777,235,488,879,221,693,375,011,225,002,483,872,301,487,163,830,652,
665,283,926,377,766,576,970,452,477,562,988,963,411,620,936,147,007,633,512,
891,186,065,645,877,751,398,896,345,601,348,271,046,941,712,101,005,410,642,
807,461,640,838,977,161,623,317,725,654,812,228,619,806,222,363,847,884,030,
258,912,053,916,623,967,879,081,883,200,276,735,146,853,512,315,171,326,510,
328,081,864,247,223,762,153,388,338,042,437,337,967,225,796,988,449,763,788,
597,384,679,518,693,822,014,547,715,282,786,487,928,276,356,720,833,898,906,
440,012,745,351,349,084,120,526,180,490,722,044,605,666,812,683,657,443,208,
299,170,212,866,459,774,088,443,014,154,333,676,018,612,360,690,949,437,176,
024,145,691,210,434,763,302,416,832,571,060,548,650,780,798,350,469,775,072,
593,795,006,058,445,779,000,852,992,393,331,726,017,824,683,302,944,148,472,
604,505,282,165,001,610,060,319,696,078,575,083,516,094,839,159,963,982,760,
965,736,533,912,328,198,558,659,893,200,222,599,190,120,279,787,664,149,004,
477,823,964,732,402,117,037,329,290,625,680,467,427,164,633,744,065,892,550,
167,813,188,245,446,324,188,102,517,036,769,108,342,782,977,524,961,679,637,
869,431,469,941,408,203,249,807,118,777,356,054,218,415,761,865,484,846,989,
303,001,244,653,751,405,941,340,985,340,443,796,242,925,578,444,901,360,560,
980,883,721,089,772,391,565,079,279,989,648,776,299,325,626,157,393,564,717,
834,030,937,448,873,726,816,027,930,042,602,192,765,932,260,961,955,281,921,
249,704,366,005,558,093,486,899,110,502,150,308,828,938,669,760,563,164,800,
167,951,737,802,550,908,759,004,824,453,315,136,859,212,948,533,487,150,075,
132,742,255,347,054,324,139,737,722,505,152,809,903,800,238,446,025,721,320,
198,544,323,489,712,310,306,944,362,325,169,798,507,182,903,480,924,903,971,
898,162,697,482,469,890,297,868,630,626,040,327,855,994,429,069,900,452,279,
291,194,894,657,184,149,615,310,762,438,826,631,480,645,139,886,687,009,934,
437,609,583,733,111,347,386,689,014,678,285,209,325,750,440,256,135,558,507,
854,591,582,475,693,520,138,079,924,624,288,959,162,600,928,293,962,097,269,
370,880,034,692,662,046,983,921,099,771,825,560,082,663,842,971,483,201,327,
450,079,711,187,970,548,757,796,991,293,667,976,878,602,998,109,588,903,360,
604,334,205,141,083,131,631,240,639,106,027,742,539,523,183,586,804,253,555,
939,319,763,653,883,297,316,212,872,002,093,743,119,752,059,163,879,117,895,
629,057,494,586,599,305,260,945,972,953,434,240,321,710,736,051,233,554,634,
286,723,156,134,321,300,055,932,512,198,900,660,409,471,451,748,330,987,820,
215,923,922,328,460,891,898,809,100,841,114,442,353,488,903,574,532,065,893,
463,822,958,662,851,255,122,531,378,214,813,607,232,685,495,445,209,213,214,
877,944,501,761,436,290,638,506,979,018,787,429,917,007,927,822,200,588,684,
502,709,841,262,127,425,565,532,869,778,723,798,758,247,662,132,589,124,848,
801,627,526,257,682,143,364,083,913,132,979,254,546,345,438,817,777,830,188,
561,611,318,059,974,097,241,107,915,899,799,651,091,293,067,508,705,085,986,
924,442,510,445,126,757,874,458,718,670,022,417,645,051,675,081,417,221,384,
705,393,545,347,758,970,719,974,873,148,158,564,772,997,068,400,950,208,225,
445,900,983,991,275,557,220,754,884,100,552,699,062,220,001,249,495,455,507,
121,339,162,186,423,284,529,443,320,413,754,850,542,177,478,869,215,567,659,
410,550,053,035,251,706,450,432,218,289,875,885,483,077,812,281,805,510,826,
377,003,318,573,627,963,576,933,254,800,251,392,135,127,248,448,215,932,623,
289,153,957,441,998,629,442,026,995,483,793,389,448,329,315,318,485,858,682,
001,539,178,979,785,722,238,614,580,794,771,014,011,229,482,657,759,444,202,
222,438,838,254,383,334,572,546,622,653,029,075,255,763,413,578,356,350,733,
475,039,827,909,233,431,202,470,585,963,277,912,054,682,920,659,214,535,379,
960,305,936,551,532,650,357,222,325,579,470,308,920,057,451,678,843,685,105,
978,180,024,254,926,236,348,682,076,221,579,267,180,969,259,950,539,137,400,
835,350,411,262,870,001,796,471,845,441,728,761,986,115,956,117,629,863,071,
834,913,824,188,718,071,828,709,568,707,356,953,224,439,831,879,534,912,001,
897,641,084,974,696,312,200,110,816,837,324,738,636,139,352,545,529,076,849,
394,532,440,735,521,011,985,379,259,548,918,864,418,109,417,306,259,012,748,
269,107,561,435,556,404,747,239,396,550,248,206,928,179,764,092,894,748,521,
913,107,092,469,000,571,825,451,670,419,780,506,085,601,922,580,376,651,292,
739,549,758,357,974,024,968,833,579,883,348,505,963,234,046,835,087,370,985,
493,587,705,308,378,031,785,994,452,469,755,823,721,284,396,911,390,052,440,
407,962,982,039,834,769,737,037,263,151,695,954,821,135,497,099,025,790,471,
480,983,593,023,526,461,275,762,585,528,249,896,157,787,933,168,715,244,607,
636,863,357,436,566,057,260,974,753,100,184,151,122,428,621,550,355,144,701,
294,981,068,996,807,365,350,751,609,533,526,900,991,868,869,256,116,640,046,
977,565,069,033,115,570,754,579,870,954,508,067,966,309,397,983,991,928,462,
133,555,451,700,324,552,024,136,938,420,268,122,615,952,850,918,633,285,709,
993,899,337,992,777,448,578,553,959,168,074,923,887,119,110,080,361,844,320,
299,438,548,285,838,372,465,301,932,435,655,317,469,481,747,353,852,884,462,
751,700,388,500,872,684,365,859,869,411,462,188,713,056,577,766,490,727,872,
314,261,513,083,990,488,306,045,433,354,848,557,180,593,813,584,654,518,244,
437,903,279,084,107,966,173,954,354,342,341,294,890,083,418,534,715,334,191,
547,061,407,733,954,941,085,591,917,253,224,489,704,827,160,405,611,767,205,
983,178,000,464,534,502,336,430,290,134,517,258,994,221,370,258,108,255,277,
354,365,670,363,797,071,147,779,537,598,918,774,775,312,943,531,579,398,090,
179,239,969,760,451,067,923,436,444,425,455,889,107,475,635,457,153,613,731,
030,321,506,994,615,040,636,538,058,855,625,612,662,428,269,386,112,483,970,
155,657,442,263,870,542,466,290,715,256,224,188,292,140,220,484,766,967,457,
296,507,214,324,299,754,067,093,940,315,991,887,704,258,098,196,430,085,264,
271,178,277,578,818,330,062,736,096,334,522,485,687,159,597,029,791,337,892,
694,428,244,551,861,743,244,681,298,661,535,252,024,012,955,260,587,196,514,
845,558,256,994,833,334,864,735,350,440,238,156,442,012,463,918,316,943,880,
857,429,718,217,618,607,518,738,223,514,580,722,811,781,302,306,764,308,588,
065,396,558,619,867,575,462,704,265,694,565,965,874,003,529,824,830,239,080,
159,011,154,885,937,122,815,417,764,903,596,538,136,776,149,932,671,576,670,
517,168,479,715,752,496,259,388,322,153,906,936,196,785,949,079,675,212,953,
270,656,905,590,602,982,783,185,357,178,249,846,271,673,520,367,670,021,162,
278,691,399,604,397,130,394,551,179,201,049,896,088,783,797,555,022,058,449,
866,111,153,457,710,458,480,719,590,877,684,665,738,535,739,395,665,042,693,
893,371,299,929,567,587,445,828,190,407,027,317,160,288,766,624,402,042,025,
061,697,191,465,397,711,919,965,401,614,194,468,081,246,213,487,610,388,892,
008,069,212,824,712,603,607,800,077,333,864,112,470,172,398,234,870,236,766,
679,025,125,830,965,053,711,028,506,064,794,173,857,351,756,458,676,260,100,
419,236,667,525,775,625,473,191,160,050,352,275,239,818,954,545,698,533,091,
685,514,118,963,435,431,196,017,192,298,226,000,114,817,209,057,270,113,076,
572,058,511,408,764,860,837,697,036,385,447,561,554,711,530,770,756,646,323,
948,351,053,436,810,324,529,498,130,958,324,390,127,507,649,095,928,259,349,
464,769,175,344,653,478,509,058,597,724,751,488,319,656,508,754,784,963,154,
586,877,626,479,043,111,332,046,804,012,642,782,679,402,935,595,246,325,432,
874,377,557,892,296,436,712,429,934,087,639,595,309,448,780,738,422,842,491,
412,866,607,682,530,454,260,606,995,821,588,995,393,984,710,539,670,335,560,
417,267,212,195,988,111,942,875,293,726,231,719,848,414,473,606,064,094,293,
490,381,026,770,380,469,243,836,505,490,132,197,618,108,873,481,783,466,541,
289,100,201,804,704,913,352,473,052,251,282,635,904,991,385,258,519,027,290,
726,287,371,657,914,432,258,439,859,495,357,671,029,997,931,921,723,259,224,
301,507,187,020,894,505,345,453,289,391,411,774,980,392,482,369,930,509,219,
680,748,725,869,299,484,505,276,161,427,541,341,349,256,022,573,107,810,373,
099,388,967,343,580,981,541,327,909,410,129,223,813,986,823,988,437,768,820,
931,554,880,541,228,396,299,647,598,762,578,091,347,194,686,662,530,444,605,
179,936,847,648,947,279,570,041,546,479,024,011,618,805,711,213,844,755,416,
487,582,617,756,481,975,961,714,861,842,013,759,280,517,301,154,182,914,071,
368,564,511,916,038,601,181,147,529,616,786,157,405,791,060,848,721,557,219,
783,504,648,764,251,038,527,822,452,121,210,574,613,812,950,899,710,972,223,
365,799,798,588,970,243,588,497,262,421,711,058,242,966,417,691,844,769,546,
186,303,893,633,342,066,283,691,260,304,153,206,751,068,894,706,317,576,798,
156,092,982,013,242,412,260,503,202,401,859,909,801,238,488,576,749,720,846,
596,912,657,905,874,100,353,275,261,498,025,732,223,594,888,180,753,289,333,
718,456,674,630,854,441,501,703,990,626,686,098,546,486,428,481,672,503,302,
176,868,931,089,468,908,972,945,418,865,329,542,976,782,877,950,393,987,269,
599,403,282,781,890,125,181,675,128,961,237,458,808,867,392,394,370,202,330,
438,128,452,149,146,400,190,067,307,079,690,165,591,565,239,599,027,751,429,
574,123,191,735,532,575,756,216,504,397,591,657,309,313,320,501,797,533,338,
533,990,082,836,774,434,885,487,970,005,279,156,096,954,925,955,348,338,425,
893,026,494,274,190,715,919,675,031,248,351,475,117,905,812,341,878,118,893,
889,340,674,764,693,629,941,898,728,292,093,022,370,834,519,878,617,594,057,
442,053,294,141,338,876,299,033,169,772,020,212,981,242,487,899,101,171,665,
147,571,150,924,936,021,822,449,589,255,422,290,118,515,685,032,134,728,101,
322,962,713,460,991,614,729,319,856,218,165,855,736,258,362,863,111,300,975,
214,698,196,463,029,757,010,843,605,651,673,596,349,196,221,606,469,264,176,
035,751,784,919,078,142,617,346,461,604,986,116,357,692,820,930,144,451,236,
005,672,940,100,648,538,007,872,632,477,161,590,448,943,103,401,984,112,269,
137,760,632,801,275,640,335,844,795,204,256,262,072,799,882,223,646,016,694,
012,857,786,450,234,407,499,951,951,735,051,381,570,312,398,594,429,421,051,
772,966,423,277,286,710,777,295,735,298,613,464,757,134,274,264,709,001,605,
157,204,549,537,006,915,213,385,923,117,778,006,194,500,583,456,500,562,777,
401,943,556,374,533,658,184,181,660,069,179,144,498,562,772,456,157,048,333,
434,696,314,256,230,000,940,498,846,443,019,720,578,209,526,194,039,300,964,
005,327,494,468,107,252,572,704,468,565,477,216,748,819,492,320,928,172,600,
806,352,191,930,837,603,759,070,967,915,596,575,616,812,677,872,925,546,000,
106,555,176,221,140,976,916,550,770,297,189,667,654,249,077,858,410,610,403,
001,019,550,451,438,085,478,019,219,447,923,877,114,991,939,973,975,649,007,
639,074,789,016,965,891,517,836,960,171,567,106,671,207,834,170,232,144,722,
087,623,428,604,823,199,231,790,752,701,225,733,799,708,717,228,040,071,815,
121,562,355,870,208,772,519,902,961,392,978,031,385,567,516,215,002,463,049,
866,728,661,777,402,521,472,428,153,986,862,385,491,583,638,785,793,649,018,
198,037,049,339,926,080,339,017,461,618,151,553,574,730,197,536,317,510,734,
057,859,858,565,209,478,736,842,326,676,842,454,411,230,795,622,174,216,894,
627,070,684,048,137,749,781,096,519,892,154,490,221,901,585,948,684,684,149,
562,655,631,157,157,908,880,405,573,789,791,261,707,166,698,000,442,891,111,
370,634,956,304,656,482,488,044,239,751,692,102,549,896,967,115,815,444,851,
592,279,529,835,578,467,547,509,959,559,436,268,609,118,575,707,710,496,633,
735,945,733,622,626,706,005,471,546,627,790,991,590,496,232,593,090,980,992,
602,480,813,520,554,695,179,604,418,557,387,069,768,010,393,331,062,156,078,
323,360,096,397,410,066,126,016,160,529,860,533,284,952,910,296,430,589,787,
829,324,314,170,753,532,998,692,991,129,821,176,322,290,540,032,380,183,599,
421,834,205,988,608,457,289,420,167,741,724,483,169,120,683,859,433,698,400,
651,621,382,762,495,633,812,283,657,319,112,822,915,158,159,689,905,069,288,
035,382,844,230,017,774,774,483,093,353,169,986,315,352,781,381,029,642,533,
548,260,755,352,389,292,542,588,748,973,533,151,970,404,971,532,166,855,156,
486,775,570,214,045,099,187,169,624,057,965,536,859,038,439,681,247,901,678,
460,494,836,379,759,819,117,270,128,884,789,570,023,094,776,177,601,542,160,
527,404,549,384,281,362,140,611,050,519,778,732,330,138,036,827,538,553,468,
295,759,371,457,382,181,229,121,398,289,551,120,071,138,238,905,526,333,488,
435,153,527,027,974,829,020,865,658,623,457,490,655,175,210,510,616,726,402,
696,818,006,436,132,793,737,159,636,143,603,127,269,845,718,547,249,811,215,
551,689,423,047,695,624,870,854,620,394,113,176,340,338,738,909,908,302,095,
170,788,409,429,780,926,069,694,902,641,256,266,434,745,545,041,924,245,929,
922,280,287,662,180,311,807,329,969,661,106,102,593,418,722,338,374,858,248,
913,247,742,525,280,070,660,605,894,847,818,541,229,951,443,811,683,520,757,
521,087,434,909,795,557,504,232,604,730,130,274,937,231,617,629,367,892,032,
094,097,719,737,316,193,793,607,571,183,594,701,967,280,424,301,336,537,959,
821,774,990,151,972,121,652,938,051,244,513,607,556,735,300,339,169,943,615,
856,301,675,288,360,039,399,987,170,179,984,333,754,531,831,372,731,365,934,
984,734,461,133,675,345,972,624,510,105,504,765,549,285,878,863,809,688,514,
786,895,206,187,184,530,830,512,438,252,475,156,380,714,236,278,876,145,584,
235,552,064,281,431,717,141,972,257,345,459,122,192,607,211,418,474,424,374,
958,190,536,539,503,572,048,745,101,366,288,009,780,331,956,121,009,744,942,
949,481,590,923,413,291,374,819,411,286,970,773,673,475,107,142,672,820,841,
381,125,894,241,421,979,754,784,627,011,211,847,284,412,313,338,743,730,129,
983,797,297,617,860,309,553,252,079,288,591,179,449,390,187,180,083,642,686,
967,450,176,189,968,143,721,619,431,396,066,246,273,891,166,656,879,912,314,
517,846,925,038,844,556,937,092,431,303,193,303,095,334,278,491,793,792,359,
437,709,463,455,145,224,532,133,211,194,276,079,471,320,661,266,698,983,258,
727,134,098,450,941,838,187,200,022,998,731,428,558,683,669,047,864,174,745,
446,915,105,492,208,436,112,661,475,093,603,687,920,705,611,491,550,714,894,
361,303,763,518,904,566,018,913,171,666,774,347,633,955,849,684,158,257,327,
800,889,754,122,804,100,805,940,734,095,707,511,850,791,546,399,874,806,255,
395,797,713,848,373,740,141,344,932,647,929,337,804,394,220,698,004,905,008,
396,552,078,792,648,013,959,663,351,790,544,904,712,645,881,045,319,565,206,
314,970,744,746,902,609,722,646,633,744,233,741,889,560,463,547,060,237,936,
309,090,937,772,545,137,814,514,349,099,740,368,598,960,619,486,783,489,610,
747,711,778,882,397,803,155,119,416,188,716,713,991,863,818,060,493,904,203,
230,303,407,805,752,146,325,658,362,731,534,679,205,272,038,447,338,961,853,
090,282,013,200,208,282,768,042,294,896,415,484,671,161,400,912,639,023,787,
187,026,778,862,773,718,088,221,355,604,323,179,443,860,867,502,590,514,386,
203,510,054,400,160,597,765,226,210,743,280,621,752,533,610,079,084,480,520,
984,406,862,999,387,946,728,315,202,870,335,619,936,970,407,368,065,224,589,
832,250,487,911,723,277,817,256,542,873,669,012,070,351,163,729,609,405,921,
636,176,996,949,498,800,257,559,472,135,094,030,612,864,183,670,967,756,688,
550,172,033,958,596,442,225,713,315,543,355,727,575,898,984,846,447,727,279,
657,015,494,797,700,225,089,398,764,881,887,091,711,248,895,172,712,825,970,
057,458,504,897,359,407,777,094,933,363,516,958,281,819,127,072,954,076,254,
608,635,705,926,649,271,359,264,606,432,419,038,796,986,362,210,870,467,463,
284,155,479,892,934,456,651,962,743,928,430,295,779,374,371,883,628,527,684,
860,091,593,014,198,923,967,647,526,834,616,242,434,191,613,180,951,898,289,
558,425,912,468,040,556,352,443,916,633,945,371,122,170,192,688,587,070,569,
236,463,183,274,693,032,884,620,942,819,048,064,637,333,740,234,049,309,334,
677,031,525,201,146,286,638,074,060,950,948,871,410,928,436,714,769,389,038,
158,833,038,934,119,722,645,580,446,017,476,871,758,134,324,717,331,572,875,
081,446,567,432,399,990,086,850,661,606,099,491,396,044,410,036,569,930,053,
325,664,514,950,223,946,355,645,040,056,168,079,727,944,919,345,324,575,053,
113,085,315,633,776,250,593,254,815,111,545,830,891,491,250,186,636,225,383,
014,877,234,353,820,569,249,883,319,974,245,319,406,467,774,163,736,237,470,
771,760,559,979,912,239,088,570,749,800,911,699,184,664,644,296,920,207,251,
423,962,810,295,839,315,800,859,446,592,927,942,849,521,093,671,658,513,406,
313,707,749,454,102,468,564,711,430,814,516,924,424,649,793,288,272,885,314,
274,786,593,205,288,138,876,925,958,950,320,109,154,479,758,822,297,744,442,
579,044,179,989,975,579,667,329,881,847,728,926,395,901,175,954,083,469,331,
592,117,923,319,499,798,998,643,722,560,436,026,420,238,493,056,153,258,556,
308,599,767,235,599,619,302,886,225,340,121,825,927,453,844,396,155,925,259,
932,468,418,081,198,710,662,143,424,619,651,860,087,345,572,983,080,317,348,
844,981,020,566,068,560,135,378,078,888,136,582,731,876,590,053,380,255,935,
530,907,927,871,255,222,745,043,085,405,324,818,919,921,957,872,720,512,333,
368,360,445,152,777,410,059,563,985,564,716,098,725,710,224,713,576,956,007,
722,559,490,312,773,103,949,710,246,363,848,276,540,721,238,494,728,538,999,
646,534,867,972,846,140,372,701,482,994,549,739,594,485,322,221,192,073,911,
588,781,406,668,805,446,737,546,976,371,416,406,108,920,160,044,097,076,093,
424,888,369,412,039,660,520,907,281,256,416,420,042,957,573,191,442,172,156,
136,536,045,917,052,254,362,855,126,063,659,154,064,914,297,854,202,364,248,
320,048,395,471,380,177,672,654,542,617,722,408,751,481,435,255,413,390,905,
488,919,180,794,788,551,905,157,442,064,330,276,188,894,076,900,896,552,024,
263,460,487,178,500,133,193,538,564,932,335,417,191,330,475,009,412,762,213,
186,461,984,340,879,422,291,363,632,174,810,177,614,422,973,789,182,258,905,
494,197,586,767,423,530,814,516,278,883,531,507,854,264,743,856,265,807,429,
721,151,269,316,254,864,536,186,656,503,600,003,197,410,984,881,749,364,230,
324,445,141,560,955,980,415,325,065,131,587,889,930,581,268,728,368,192,111,
419,683,383,997,598,049,399,262,871,709,076,808,057,115,026,664,865,797,498,
718,421,278,004,494,698,395,484,856,672,055,158,406,616,175,436,144,403,712,
962,065,394,832,419,946,315,328,255,399,465,825,046,162,972,582,441,847,947,
267,167,333,315,709,168,173,745,119,769,706,699,037,871,433,782,884,322,144,
452,485,102,121,008,260,270,652,273,170,797,053,030,068,814,791,350,331,319,
313,422,872,151,581,473,955,004,914,785,137,368,743,365,719,432,005,829,995,
767,467,272,997,178,612,690,831,566,917,687,942,862,867,674,149,083,829,337,
077,445,586,786,003,971,721,942,900,061,258,917,592,271,401,729,211,864,211,
736,225,993,730,350,085,229,643,673,803,665,854,448,673,707,426,010,959,263,
131,928,452,188,718,372,959,319,492,680,198,694,926,971,224,445,020,274,273,
691,262,198,132,208,491,063,670,861,621,146,332,786,964,739,155,566,253,979,
447,783,151,582,187,725,547,132,596,554,967,839,568,308,136,518,323,848,501,
759,218,966,623,931,427,410,155,447,968,510,041,497,295,762,691,205,850,668,
803,934,426,723,391,018,386,710,463,931,487,017,063,582,054,795,460,637,930,
414,700,419,055,819,013,464,980,755,330,364,315,238,826,055,592,423,578,943,
658,425,750,294,863,645,269,879,003,073,283,371,007,312,688,482,331,871,850,
010,658,507,618,565,610,911,370,195,285,430,541,308,154,346,532,547,065,156,
679,343,198,951,263,119,063,108,802,677,789,277,611,921,905,798,920,571,659,
548,010,251,882,649,388,354,752,723,180,015,660,201,853,549,100,496,041,968,
023,307,517,115,320,795,064,778,145,700,131,238,841,767,646,088,519,502,430,
764,659,672,039,745,015,959,357,168,989,854,870,214,644,088,451,925,060,029,
029,992,032,267,783,120,349,012,161,686,651,677,855,303,281,765,403,121,514,
405,013,391,829,723,474,550,716,481,386,275,696,188,645,813,953,892,273,224,
538,558,451,160,741,946,949,025,228,330,534,228,902,553,575,747,648,202,225,
636,033,709,607,932,025,150,595,414,242,601,912,996,476,897,768,175,201,260,
619,229,770,809,986,599,036,675,554,612,767,797,580,910,720,193,302,535,769,
175,694,655,171,600,330,707,921,023,496,722,297,268,417,563,367,004,837,217,
640,614,739,349,786,931,301,675,241,536,644,088,421,534,420,618,789,632,032,
300,937,812,804,950,546,943,127,080,181,125,397,503,783,032,357,827,036,766,
579,834,720,028,881,044,109,495,090,269,631,049,184,035,731,779,824,222,146,
503,023,113,531,175,167,707,364,977,723,006,414,687,313,827,328,059,108,099,
110,347,300,021,736,695,684,940,895,856,347,843,191,206,879,788,610,532,554,
940,863,381,587,845,269,312,949,899,159,315,561,148,727,561,404,013,819,496,
418,721,451,504,597,582,858,788,287,727,576,041,601,649,931,417,220,986,177,
378,980,378,365,943,692,705,571,144,821,588,316,086,947,450,041,775,058,387,
256,200,853,365,267,489,624,191,734,328,400,067,078,704,669,909,189,604,040,
465,412,744,370,766,696,841,928,701,037,597,500,212,676,599,486,180,428,424,
820,031,574,962,599,075,124,887,077,437,359,392,473,314,840,282,340,906,370,
325,927,452,380,366,497,414,935,602,746,924,737,387,654,380,153,797,522,939,
976,379,841,770,035,978,226,761,444,599,591,697,923,545,294,617,437,674,679,
928,061,859,784,998,660,090,271,722,683,618,661,724,422,531,757,934,015,071,
573,730,921,888,658,667,536,738,109,875,968,739,276,230,769,042,411,546,413,
299,358,442,382,297,164,043,265,496,100,199,660,487,785,135,283,716,835,874,
406,093,980,416,893,460,240,135,459,109,286,381,788,691,980,478,060,406,500,
096,600,045,856,424,422,847,090,190,146,961,208,328,019,391,791,394,804,337,
846,038,656,471,013,827,546,623,858,970,174,397,337,759,022,795,607,295,982,
378,829,245,174,882,287,932,312,778,571,416,325,447,066,807,743,641,753,167,
585,845,334,266,316,319,505,271,109,422,633,872,423,618,966,690,133,045,747,
618,548,172,952,729,110,526,490,189,624,263,853,682,476,510,017,697,982,224,
284,453,662,006,073,677,977,334,624,082,442,739,615,113,086,505,027,948,636,
192,732,940,442,660,240,965,938,961,031,397,068,943,347,377,337,094,375,190,
268,104,151,771,459,613,883,512,144,795,995,693,281,194,491,958,528,770,260,
465,299,373,876,046,149,349,252,648,943,060,428,860,653,501,931,270,246,112,
851,360,183,504,972,067,167,482,459,133,498,123,347,471,428,869,504,120,885,
457,979,518,612,456,520,731,928,432,664,301,067,011,445,754,838,460,318,211,
277,416,920,941,903,589,609,881,963,771,451,219,470,310,346,886,747,177,238,
314,008,713,421,483,683,790,988,473,863,078,585,101,482,688,732,227,490,458,
050,905,275,615,777,335,944,259,071,344,777,742,632,551,242,968,670,357,898,
616,987,950,796,122,479,450,708,144,003,180,495,947,188,960,540,970,725,452,
741,248,393,148,291,351,146,079,629,523,759,211,959,525,320,148,008,484,933,
147,913,338,393,674,913,229,519,909,549,176,579,064,777,579,463,669,197,546,
160,013,738,430,425,230,809,228,529,227,540,259,757,758,034,281,723,999,532,
758,668,183,447,812,606,648,194,409,604,833,932,892,853,524,528,690,941,149,
081,976,964,380,447,958,435,488,472,360,401,999,259,873,521,223,525,854,700,
933,323,787,365,370,351,804,420,605,903,499,430,307,771,460,845,630,930,596,
620,233,837,671,000,458,888,710,277,088,189,861,126,663,970,067,714,533,256,
751,268,040,097,284,574,532,659,489,178,569,084,644,242,008,450,995,000,441,
525,231,365,745,485,107,065,704,876,561,490,823,139,210,207,195,883,339,966,
655,888,871,665,361,671,820,983,311,043,614,868,456,846,455,394,117,337,795,
584,319,061,221,556,454,010,732,305,211,093,546,821,023,680,806,632,425,864,
826,413,029,591,320,760,651,091,141,262,202,802,400,000,672,915,457,334,975,
519,881,861,556,050,875,709,782,823,684,665,225,924,755,016,000,748,340,196,
381,991,514,717,356,241,640,362,585,269,108,483,625,199,809,244,173,724,960,
232,358,446,242,886,723,694,690,908,006,092,140,559,355,058,419,974,846,933,
734,247,764,188,657,415,398,093,796,863,541,898,640,275,067,840,538,840,863,
493,808,094,786,458,734,125,919,858,767,223,502,634,867,052,228,762,316,946,
029,513,699,964,523,243,682,153,580,927,707,318,197,911,750,158,440,507,342,
834,314,594,632,474,550,491,165,865,615,981,703,363,296,333,138,578,517,331,
254,867,776,386,513,229,650,477,305,783,297,897,511,807,051,052,100,104,973,
545,750,796,798,644,245,707,679,591,966,447,760,961,640,754,689,965,134,845,
725,569,353,038,910,085,157,072,925,408,290,336,598,696,273,399,919,793,984,
339,709,560,480,022,486,216,331,667,574,079,297,038,226,476,735,729,513,046,
402,335,356,003,504,324,759,511,787,150,368,350,761,619,098,712,064,176,607,
287,537,763,725,123,581,394,043,540,703,373,105,596,681,317,890,682,245,254,
394,011,365,485,556,619,738,577,190,254,626,095,431,156,122,668,083,237,953,
795,823,804,383,554,059,707,565,781,046,351,485,715,235,382,466,858,469,755,
112,628,239,788,878,187,514,712,344,425,210,236,571,782,934,753,011,027,678,
015,545,050,514,676,863,557,366,717,383,609,435,107,513,822,620,208,745,882,
947,230,170,691,744,025,968,365,489,556,457,370,014,680,919,093,401,295,638,
323,981,049,280,895,021,384,610,261,269,824,107,449,575,741,692,478,943,348,
446,451,406,178,675,933,478,198,948,030,431,152,566,175,268,079,856,030,039,
918,760,442,811,436,001,884,917,527,715,653,941,505,690,133,667,371,604,768,
645,010,604,564,293,769,287,175,874,859,247,430,593,612,711,823,009,862,966,
441,110,737,580,175,920,298,794,579,172,434,128,454,592,733,849,346,052,014,
171,861,734,187,522,216,074,286,568,795,528,149,792,903,472,132,415,747,830,
687,922,701,808,215,357,528,638,775,985,472,591,713,465,624,052,638,095,471,
583,924,154,553,056,505,035,256,220,890,479,021,440,198,993,612,179,597,493,
810,599,645,013,436,844,318,211,510,309,747,420,867,668,682,523,309,096,988,
769,952,286,598,091,925,620,380,877,742,415,352,649,071,041,878,686,382,773,
719,227,395,863,273,345,696,238,846,140,651,041,618,997,790,778,962,722,923,
930,425,696,227,326,917,543,598,402,358,209,513,880,236,458,709,483,188,274,
861,724,826,182,819,625,696,213,709,674,833,718,774,254,692,748,275,635,199,
296,822,308,359,479,604,298,410,471,454,919,656,497,979,806,942,381,406,738,
660,448,470,411,348,369,052,959,279,770,561,551,508,299,961,037,740,596,770,
157,224,490,238,202,735,178,281,326,719,497,245,272,941,327,934,047,128,086,
587,270,479,824,074,264,473,528,046,079,091,490,339,894,361,415,968,030,724,
211,303,959,400,939,886,029,918,427,974,578,332,055,161,991,462,891,163,746,
282,379,141,746,297,949,554,377,502,318,310,135,560,231,418,036,521,561,903,
959,234,089,823,889,299,982,356,974,088,748,256,307,129,774,894,810,708,250,
399,331,034,207,005,450,575,733,176,405,506,112,054,985,971,661,046,497,536,
561,287,516,136,692,909,030,305,562,890,169,344,520,446,476,971,354,580,733,
511,417,397,742,194,194,533,507,929,727,334,605,954,263,136,603,910,746,793,
145,856,339,191,777,366,993,016,415,699,059,830,442,452,725,661,942,717,448,
802,271,318,633,133,204,302,245,153,088,128,960,489,527,360,143,359,955,479,
426,601,598,393,631,708,531,668,819,103,906,531,263,230,237,955,158,920,492,
350,554,459,873,503,020,117,696,333,595,233,392,029,652,192,310,915,491,286,
369,282,345,109,537,698,639,979,280,909,010,498,401,081,485,827,981,220,859,
841,294,610,116,903,573,634,886,753,032,925,944,356,851,227,724,475,745,406,
545,066,606,943,741,283,606,198,120,649,136,512,424,139,413,923,717,889,449,
497,975,945,601,527,735,101,138,871,644,095,522,803,581,583,473,098,312,911,
834,919,187,054,468,564,883,694,087,464,925,884,531,691,861,425,428,960,980,
699,338,335,637,011,961,629,684,901,398,802,690,011,279,328,309,901,756,989,
476,969,764,165,834,058,611,877,686,611,241,699,267,612,117,828,606,034,539,
984,292,429,913,768,614,221,918,733,413,456,177,054,755,803,723,726,468,815,
342,220,327,655,676,007,335,661,646,005,853,762,766,674,572,871,678,485,784,
164,901,774,749,749,869,155,347,152,031,524,825,908,784,262,019,847,556,454,
198,958,066,647,609,893,679,906,517,814,563,778,504,393,657,147,131,939,167,
869,707,494,737,257,208,920,727,724,914,020,356,891,617,134,541,635,873,925,
010,726,496,288,088,551,866,005,810,937,439,528,718,532,507,222,502,709,322,
168,022,258,892,642,992,666,201,904,739,243,587,808,845,746,557,845,479,011,
445,942,734,871,732,099,279,771,155,584,103,609,370,909,798,265,978,723,913,
349,133,460,730,248,377,857,119,347,517,444,996,093,311,707,327,389,710,927,
504,938,559,417,942,021,804,022,364,703,832,259,307,705,576,900,941,310,450,
244,222,248,614,383,064,648,492,882,223,680,083,216,135,786,633,337,403,484,
529,957,659,419,135,617,801,359,623,052,987,649,936,866,555,184,819,428,829,
185,817,148,673,186,076,501,836,229,252,944,972,139,516,983,369,973,141,844,
894,166,137,960,058,011,517,482,681,228,228,112,657,067,322,622,240,278,121,
494,777,424,074,126,744,311,550,154,530,464,534,628,160,825,642,492,573,300,
104,976,325,724,365,404,423,621,674,246,124,980,246,208,095,617,438,857,298,
278,657,726,444,137,677,704,364,734,143,938,270,230,298,432,202,537,314,308,
824,462,798,429,332,806,465,001,492,461,762,245,749,698,644,336,087,896,572,
382,893,613,139,339,747,722,223,694,941,968,793,461,541,449,763,120,313,384,
531,042,157,921,712,614,620,721,808,286,088,237,380,268,631,715,003,586,142,
666,321,355,445,858,877,394,931,394,187,319,405,221,614,483,092,350,286,735,
598,089,382,675,753,610,086,370,250,873,189,258,774,441,901,441,402,805,245,
192,870,334,017,331,472,190,728,130,830,119,556,109,008,188,367,811,557,701,
171,348,777,044,733,284,000,287,778,164,484,285,083,236,961,121,721,257,184,
757,971,995,978,162,200,410,218,671,965,681,829,185,893,198,342,476,585,319,
084,977,342,643,512,440,792,575,928,628,471,126,291,698,035,609,187,934,638,
336,569,634,445,601,616,888,485,217,309,609,378,523,609,984,835,473,934,547,
011,178,724,935,640,491,248,258,252,786,529,208,353,975,741,240,231,286,819,
093,887,227,172,935,374,925,264,681,748,956,723,976,351,719,354,142,895,419,
046,087,808,424,611,543,878,061,000,662,618,680,150,513,463,970,230,425,138,
957,794,099,774,864,289,965,775,566,887,954,385,784,838,812,300,823,485,304,
499,820,513,894,314,391,115,421,696,194,684,122,503,450,044,597,797,116,772,
139,907,738,460,133,265,074,669,846,338,866,619,756,220,584,262,873,951,588,
118,529,147,821,082,131,791,009,079,951,618,089,507,313,693,929,069,839,899,
927,133,386,323,197,244,197,058,547,425,212,907,677,655,686,390,148,863,643,
744,290,668,174,619,587,904,536,587,398,002,175,453,003,212,923,491,206,234,
796,073,127,127,206,229,705,814,350,203,147,691,940,621,943,502,507,526,374,
759,627,977,968,367,826,141,891,355,304,579,722,210,444,060,215,757,235,466,
699,893,870,853,606,730,839,873,870,094,937,122,737,053,992,798,011,473,946,
055,353,489,679,870,030,007,933,281,442,239,732,797,524,281,504,349,340,396,
853,285,556,099,338,695,392,883,321,592,041,869,545,564,795,001,079,454,054,
169,807,446,156,788,887,714,000,435,435,314,771,091,977,329,960,287,199,566,
213,114,496,117,569,510,813,329,440,035,827,688,897,582,740,651,999,115,006,
427,372,296,189,120,532,130,872,946,633,930,201,600,035,160,033,947,430,750,
957,544,475,369,903,143,185,818,524,878,529,550,500,065,265,895,194,598,974,
688,461,016,722,842,220,039,793,119,514,144,598,916,509,993,058,278,230,997,
813,585,033,441,106,692,872,508,844,798,292,771,278,499,995,331,092,197,165,
694,338,469,605,097,994,347,598,445,930,755,677,681,914,505,259,173,992,032,
636,545,085,508,662,492,708,815,672,438,550,738,578,198,089,015,645,289,981,
274,484,392,673,330,161,368,744,713,466,422,188,657,699,276,504,817,324,217,
086,801,707,804,053,170,318,383,124,027,310,680,560,375,989,196,405,783,807,
613,351,356,543,329,448,268,826,162,797,625,025,212,172,228,281,742,428,316,
436,091,137,270,188,525,447,418,162,552,286,276,300,023,072,461,771,985,517,
615,859,724,261,003,569,128,434,626,317,189,001,969,322,293,626,659,283,861,
656,511,559,032,144,956,724,602,048,688,227,783,450,888,992,391,778,020,062,
855,428,297,310,012,992,802,810,162,578,247,688,376,452,792,978,407,612,813,
729,230,222,057,601,645,436,093,550,519,157,724,500,343,423,485,474,118,906,
324,700,982,335,140,181,189,791,200,735,962,788,472,110,680,306,032,574,738,
111,508,894,320,169,202,547,277,024,584,875,540,403,105,807,871,547,131,451,
277,040,588,139,679,841,345,098,264,910,567,806,781,478,739,015,493,257,336,
446,696,875,284,775,871,995,694,139,129,490,920,836,492,610,061,442,713,688,
656,800,670,410,193,853,012,750,462,323,590,669,070,182,978,532,047,673,598,
745,189,478,408,196,315,439,320,970,634,741,715,221,065,405,300,391,279,065,
830,859,440,154,012,776,201,881,931,347,516,428,465,874,422,115,077,963,277,
480,304,314,166,607,619,763,646,488,620,968,225,029,464,080,852,147,538,300,
869,347,297,991,192,388,175,065,352,373,400,579,562,637,044,749,653,254,689,
526,118,653,112,861,703,483,075,837,783,463,858,760,391,081,659,037,374,527,
269,987,920,580,394,064,235,959,935,145,631,948,570,042,495,331,274,795,958,
851,472,830,191,448,236,926,140,111,090,515,461,523,712,668,711,912,552,162,
072,886,623,860,343,252,295,401,726,574,578,363,501,631,793,459,185,961,677,
706,919,368,929,693,267,912,198,982,595,741,008,597,879,414,978,117,359,969,
329,936,625,551,076,805,900,305,387,576,589,560,313,870,145,556,326,901,155,
498,246,282,051,761,757,699,812,376,573,418,366,726,886,751,485,623,349,027,
235,688,073,048,121,904,171,441,548,042,334,766,839,343,584,977,429,956,355,
507,936,746,387,826,274,872,602,813,263,315,391,394,686,838,080,451,650,247,
742,326,642,281,947,565,684,656,263,540,451,046,190,814,702,018,550,974,689,
813,698,493,134,196,702,326,320,345,303,648,325,202,318,833,403,886,430,641,
196,467,853,145,475,375,461,226,349,754,333,427,493,591,769,811,372,540,487,
910,616,665,511,471,136,470,651,307,680,274,291,339,535,045,093,055,882,509,
787,664,812,037,954,577,365,971,260,878,016,091,734,430,941,268,193,911,234,
063,902,916,138,659,988,485,148,857,008,946,249,856,168,157,521,328,474,267,
623,274,614,879,345,897,220,236,334,323,873,420,843,055,868,090,601,377,021,
584,873,461,475,983,004,705,793,039,661,113,087,821,314,710,962,678,349,595,
453,728,389,963,091,055,221,771,181,497,838,297,818,517,222,504,741,796,456,
247,268,628,142,296,112,392,838,659,838,526,619,548,761,604,375,441,279,318,
718,462,721,159,576,273,747,809,290,974,746,583,155,097,182,903,160,165,924,
606,418,744,014,040,099,056,295,028,722,926,163,719,882,622,956,206,821,835,
884,712,699,694,163,527,464,670,842,686,087,907,570,819,446,258,271,679,901,
302,616,182,629,399,614,359,226,067,294,455,447,295,912,869,764,903,089,443,
722,995,845,965,369,984,098,754,016,120,190,780,167,540,075,636,287,748,032,
699,207,944,934,356,475,714,170,626,334,076,278,091,984,161,676,420,701,049,
212,377,819,140,545,893,793,705,459,561,140,027,555,906,798,168,002,471,912,
603,765,719,974,753,757,680,721,757,096,792,677,733,232,265,011,281,349,479,
213,464,073,752,337,767,624,392,170,384,172,987,764,591,132,436,276,592,368,
477,194,316,101,433,150,430,367,934,514,929,635,943,642,107,424,711,593,122,
925,881,951,744,357,158,034,425,460,838,030,333,532,780,064,226,612,557,693,
264,749,126,927,564,859,593,223,042,540,110,825,944,946,179,534,923,647,407,
685,326,113,333,455,054,805,998,567,445,187,382,430,716,340,057,991,606,339,
639,082,106,458,013,920,115,415,019,351,986,908,153,593,783,845,617,744,959,
884,991,212,143,632,890,778,675,203,694,907,125,001,967,490,681,485,111,711,
259,252,799,477,452,260,190,288,343,689,180,327,237,934,274,191,808,951,499,
016,699,230,586,307,089,643,632,691,108,483,355,598,886,133,337,814,095,625,
208,378,903,079,788,541,420,189,848,799,693,376,352,913,382,394,982,587,919,
410,205,238,640,612,999,991,796,829,699,930,706,925,800,788,053,059,865,531,
351,624,775,735,406,636,491,474,988,709,386,198,141,941,938,087,817,225,324,
161,750,308,895,860,504,020,590,706,217,273,993,048,854,798,722,943,114,271,
474,397,822,448,754,904,982,166,891,960,682,516,943,409,544,020,013,785,026,
951,830,955,422,175,800,846,993,470,523,829,224,059,482,904,781,128,850,960,
821,811,216,699,433,242,009,484,680,031,354,908,598,222,102,040,586,635,536,
751,456,763,355,839,229,010,759,739,671,040,986,607,793,890,405,892,737,131,
609,842,522,979,467,285,032,909,292,878,935,521,711,524,054,112,667,386,210,
771,010,241,474,396,713,156,045,085,727,928,798,228,713,373,392,203,987,668,
976,452,159,286,673,796,581,831,220,244,968,548,939,863,405,016,597,485,817,
676,769,803,771,641,779,017,631,891,586,423,355,393,888,526,277,148,972,277,
398,596,629,973,019,501,220,525,020,409,670,471,875,853,782,671,770,225,891,
914,088,413,431,149,296,276,222,762,188,790,622,465,861,528,622,859,916,457,
747,795,870,982,350,426,311,668,215,624,373,320,221,696,177,987,425,060,831,
907,938,766,766,952,250,626,483,786,011,382,394,030,279,861,758,776,057,840,
378,243,169,607,125,812,450,020,070,852,814,045,603,871,790,345,687,416,327,
721,868,776,957,792,210,725,700,995,596,326,770,853,390,073,112,752,819,750,
135,519,583,201,917,199,772,933,654,224,355,070,640,818,243,662,296,922,823,
060,174,099,595,776,757,535,142,662,750,798,450,917,935,399,058,408,674,696,
633,627,195,002,753,389,012,412,772,177,562,654,797,548,396,691,562,138,462,
594,587,311,908,262,959,244,727,239,276,038,262,592,372,896,990,428,200,660,
150,711,819,964,382,855,844,883,690,039,618,181,628,086,312,112,840,137,566,
389,729,765,051,332,726,630,958,258,592,170,447,788,043,674,117,144,633,643,
298,550,743,650,648,623,240,953,917,123,612,818,828,206,593,133,177,218,354,
530,777,855,835,551,617,630,999,800,606,915,628,003,338,355,270,635,922,536,
333,828,268,198,704,583,154,656,441,248,689,215,313,327,731,125,489,707,274,
537,144,010,528,990,163,783,040,195,314,527,580,856,022,655,771,262,426,842,
926,164,815,249,284,156,336,045,798,838,062,691,052,373,977,676,251,105,873,
366,751,212,896,389,561,343,736,176,628,927,838,607,780,035,403,017,218,794,
409,407,681,609,143,298,919,480,920,028,149,749,615,445,574,654,354,541,872,
631,415,135,560,184,687,599,918,564,663,083,030,273,023,665,889,598,082,049,
687,658,013,279,295,528,958,736,162,793,146,296,035,942,652,402,556,389,105,
685,483,940,989,641,106,406,562,126,050,544,566,497,760,251,763,650,000,081,
689,727,143,356,180,437,166,908,063,580,358,726,452,185,376,445,102,633,225,
404,538,031,829,984,686,191,997,927,570,064,920,761,410,982,632,136,246,542,
138,950,454,114,467,167,174,246,184,130,598,808,897,536,920,150,274,864,994,
169,877,649,489,707,170,489,039,561,071,022,824,655,794,791,042,002,841,244,
481,797,699,079,437,506,698,607,768,254,898,950,146,565,512,592,232,744,248,
926,093,093,887,219,583,273,493,897,405,184,649,770,116,166,912,832,649,318,
865,905,936,940,419,867,727,238,255,906,734,581,631,350,843,431,055,663,211,
182,589,130,922,556,071,852,637,202,495,593,861,880,091,840,407,888,288,234,
342,062,368,600,962,958,549,866,104,422,235,686,210,199,380,659,949,058,376,
265,075,626,679,196,159,357,088,345,173,900,610,260,866,247,280,842,654,383,
788,533,189,635,918,002,234,657,439,697,361,330,657,842,322,207,909,263,026,
035,274,183,416,367,589,379,159,940,339,747,545,124,620,713,789,762,805,226,
459,312,728,452,845,534,928,243,660,090,686,002,274,334,228,096,000,162,857,
520,338,130,581,666,675,224,184,196,703,375,543,583,737,232,089,006,893,379,
390,617,224,447,227,366,936,318,762,441,280,718,275,390,093,351,514,924,862,
965,484,861,135,852,787,364,727,333,320,326,328,394,412,375,404,004,938,106,
001,282,583,474,803,292,674,675,599,287,633,747,571,336,135,204,264,125,966,
165,724,371,682,004,484,908,036,424,910,174,687,430,492,243,511,279,192,367,
591,030,917,574,576,686,338,239,785,818,287,800,296,060,989,139,855,237,056,
570,427,125,471,430,215,377,248,028,485,162,088,784,886,376,229,335,458,073,
601,027,868,372,824,009,768,433,259,993,865,306,871,771,275,211,608,283,362,
166,138,082,333,910,239,865,628,014,818,188,848,114,363,959,605,045,681,321,
768,232,204,406,664,333,433,195,074,796,817,252,665,320,175,879,900,175,561,
426,083,316,521,148,726,474,968,797,517,740,195,886,734,039,861,523,051,928,
444,360,420,096,351,157,629,522,099,026,180,500,227,605,410,791,187,673,539,
594,539,686,438,033,758,721,561,174,961,979,816,284,037,499,121,266,062,267,
557,731,204,246,070,276,188,512,295,803,767,540,934,464,036,418,869,940,048,
723,429,847,982,208,833,622,974,534,312,156,019,118,160,017,172,155,680,778,
582,852,885,062,981,715,210,519,829,065,580,706,117,433,703,795,225,960,200,
071,877,738,808,573,581,916,087,257,138,326,041,036,202,817,881,612,393,933,
411,265,083,116,538,966,412,805,802,707,525,920,028,074,426,003,417,149,913,
103,054,455,063,617,390,075,362,853,740,674,806,380,284,463,039,180,506,815,
426,847,800,934,499,713,344,869,921,484,012,880,059,580,105,390,119,990,387,
324,461,532,115,170,914,806,827,605,326,299,736,834,056,508,341,596,032,720,
540,160,916,851,065,950,539,990,558,069,903,570,585,581,863,737,491,976,489,
018,483,482,453,925,175,613,453,145,087,095,443,346,008,122,126,514,184,025,
397,948,372,366,634,309,761,282,597,299,445,694,713,266,264,206,418,082,238,
978,664,924,653,312,283,553,814,657,247,763,296,855,042,739,301,071,920,681,
699,660,556,068,827,981,170,411,534,052,040,129,340,800,323,824,319,915,026,
962,261,343,989,280,245,093,887,188,131,360,694,361,095,301,218,632,650,152,
483,496,765,829,054,703,275,485,563,165,045,038,281,284,179,260,640,135,084,
458,005,307,731,969,034,625,790,605,202,216,915,787,546,240,583,122,757,407,
133,284,889,208,953,795,013,834,651,524,354,724,539,800,325,854,139,098,459,
140,840,784,752,203,121,405,194,962,829,259,920,709,508,324,766,642,000,222,
367,345,180,088,278,477,845,802,208,679,709,291,157,054,576,661,385,017,930,
472,526,788,163,355,467,912,508,113,514,793,638,406,546,556,174,327,170,605,
353,867,142,651,011,147,499,508,303,906,653,173,897,877,844,902,324,656,594,
184,985,517,362,909,973,786,093,924,812,786,028,241,794,961,792,181,744,342,
435,073,216,051,709,320,633,024,028,918,990,147,451,913,695,775,003,622,388,
391,903,752,847,907,044,666,176,104,943,960,237,969,986,782,705,202,952,157,
573,677,981,201,391,406,023,131,511,614,635,544,983,891,737,598,460,962,394,
470,454,550,148,684,604,047,766,743,101,420,526,981,389,498,006,103,402,572,
872,860,658,786,248,942,236,051,653,712,393,201,273,910,426,112,311,503,143,
929,223,555,694,255,100,426,095,790,393,087,949,830,381,317,894,834,595,138,
149,928,769,574,840,859,995,254,009,960,198,111,771,213,062,204,555,124,021,
636,087,419,505,498,522,031,025,642,953,063,961,267,457,221,477,737,928,409,
443,356,457,128,197,926,822,951,106,386,243,746,929,564,415,743,921,374,587,
245,420,307,477,508,404,683,837,587,694,181,798,133,653,137,357,449,874,365,
216,733,181,008,371,840,826,682,535,077,367,202,281,978,018,037,863,672,676,
509,955,192,885,518,803,037,354,453,750,416,922,308,219,271,790,682,374,330,
877,189,452,038,768,272,102,430,435,967,367,957,415,035,370,788,740,392,591,
229,805,900,849,641,854,158,520,988,522,813,126,112,668,133,232,866,143,561,
653,167,347,138,717,616,578,422,616,153,292,580,728,557,406,539,716,319,654,
536,409,249,750,644,561,000,969,228,768,160,331,590,898,635,261,324,244,779,
560,354,838,013,107,812,062,314,251,425,341,593,585,578,929,769,145,391,544,
486,684,091,531,298,420,514,719,283,596,585,000,019,706,320,289,293,400,590,
837,860,620,957,321,376,138,548,256,620,697,520,164,897,630,860,557,627,238,
156,135,094,970,867,375,107,779,186,610,557,212,226,326,047,379,178,895,491,
935,304,100,925,614,614,534,739,557,889,173,730,059,314,437,023,784,784,654,
485,308,537,241,005,858,137,828,914,495,151,380,171,358,702,962,512,160,715,
688,028,523,845,390,350,417,549,128,722,928,231,248,976,583,451,363,612,234,
335,635,096,460,235,134,090,051,465,795,929,140,740,171,627,642,752,234,746,
950,797,384,587,323,125,678,349,977,777,477,831,449,248,734,857,367,776,236,
761,854,774,282,971,117,472,307,256,138,163,403,787,574,367,819,772,561,851,
278,543,775,724,080,105,672,789,876,224,352,306,033,342,583,351,675,776,607,
053,419,115,605,696,237,472,875,312,223,595,601,209,648,831,474,177,594,842,
067,672,062,730,770,558,752,464,121,694,655,062,586,410,334,357,920,431,632,
421,150,700,319,684,603,868,005,517,898,440,057,885,581,479,986,278,726,400,
582,432,412,806,750,961,356,635,239,400,034,267,910,955,577,104,595,191,822,
219,459,340,767,026,203,131,676,036,335,339,867,075,417,445,566,015,234,211,
383,781,005,786,504,155,919,211,635,681,255,192,648,056,181,824,479,075,236,
651,052,148,373,359,929,846,155,779,270,761,276,050,255,943,233,774,293,093,
747,152,899,246,285,543,433,102,467,587,690,565,909,555,319,150,786,197,163,
109,588,943,392,520,907,254,046,642,559,873,085,812,048,632,328,459,176,021,
452,833,365,076,551,630,021,070,648,639,423,528,377,125,505,553,175,170,313,
689,494,897,181,010,372,704,961,622,234,803,332,089,020,338,517,564,756,275,
811,693,221,990,399,052,820,587,609,019,988,000,621,944,448,787,922,760,690,
479,960,483,253,762,588,040,657,179,766,572,300,773,214,178,438,656,509,284,
297,649,752,598,150,680,459,049,829,165,701,002,354,853,113,958,973,937,036,
948,643,114,940,999,119,753,203,167,610,740,397,240,166,213,489,029,303,484,
792,149,369,387,002,162,106,088,634,112,571,563,632,230,104,905,263,121,968,
915,653,838,537,157,042,744,404,067,636,990,765,262,447,730,988,946,713,879,
220,185,936,801,824,149,529,342,127,661,260,161,019,729,554,655,892,245,685,
527,155,275,073,924,951,721,314,380,977,525,051,773,875,716,953,906,218,767,
597,774,378,357,942,981,805,441,586,029,217,201,512,120,772,204,748,915,971,
530,435,381,484,554,117,139,602,064,036,329,304,052,912,258,700,310,514,173,
628,727,100,459,836,842,196,920,415,652,522,948,426,537,085,891,653,591,048,
676,752,706,660,735,959,507,322,995,991,688,578,182,764,771,815,020,828,692,
767,984,596,762,586,271,949,237,021,572,269,400,759,215,231,337,662,507,147,
610,205,248,130,112,728,487,400,172,599,286,346,030,938,237,157,164,900,441,
818,828,150,062,306,211,481,704,605,416,715,519,717,887,751,879,592,461,683,
384,262,627,637,576,171,707,845,990,399,743,482,603,485,407,271,571,358,655,
342,559,393,641,779,736,806,838,901,515,546,407,585,033,043,807,190,641,833,
264,752,413,741,581,705,367,766,921,675,273,812,885,570,326,686,799,677,758,
779,041,291,784,555,570,282,477,506,931,425,343,726,742,716,542,780,526,064,
852,953,072,494,362,109,391,661,625,777,859,559,306,368,367,437,717,002,220,
772,080,536,684,267,489,713,877,834,087,615,735,649,449,617,387,056,828,958,
872,903,923,081,647,486,600,054,074,852,071,284,734,513,047,550,070,057,976,
167,635,155,071,563,997,643,512,120,614,288,615,287,057,889,670,761,847,614,
721,276,654,130,324,735,527,356,409,553,633,674,970,388,603,267,929,444,921,
785,143,742,307,360,910,015,497,314,504,465,387,754,037,245,382,222,173,063,
951,669,794,921,869,398,325,647,571,531,347,833,474,355,930,610,681,689,747,
432,985,154,820,668,595,176,728,688,187,030,637,812,635,473,147,889,750,732,
256,636,550,314,626,064,272,056,459,847,066,665,701,028,667,244,692,965,026,
210,548,757,872,756,012,702,070,342,383,819,579,726,781,157,286,331,805,903,
277,374,881,793,881,967,162,964,691,427,867,179,706,917,544,915,780,817,220,
285,138,480,735,231,267,389,631,534,816,659,678,501,222,426,466,935,501,102,
510,280,153,324,578,778,405,501,416,829,105,718,119,792,982,008,682,718,145,
694,856,554,091,254,105,925,080,642,257,497,331,545,722,522,753,509,356,290,
064,602,500,103,478,136,361,346,236,708,317,548,146,513,229,203,424,553,668,
898,332,547,942,516,264,046,477,897,872,563,971,421,174,792,033,868,709,179,
970,730,738,185,164,688,754,865,702,371,270,980,142,612,858,646,965,064,011,
967,647,224,748,587,975,321,238,632,506,463,408,611,413,353,434,633,606,758,
401,620,053,444,944,659,898,188,047,745,448,614,199,606,111,796,169,950,445,
933,450,961,322,156,616,659,265,341,028,207,870,397,952,898,332,089,618,948,
945,307,000,254,257,711,010,139,431,357,511,994,995,222,533,759,194,154,025,
645,626,313,016,227,691,135,952,355,745,421,301,089,361,306,163,540,725,391,
138,640,799,943,033,358,567,744,343,418,480,234,976,131,546,107,948,946,855,
514,997,814,182,426,153,879,878,999,714,847,526,718,946,046,994,897,930,471,
268,121,545,336,610,067,060,936,731,526,326,495,388,315,865,433,822,078,719,
023,526,670,199,056,295,224,974,854,791,565,550,281,606,815,052,516,450,536,
699,217,114,808,337,778,305,341,060,229,043,364,009,946,486,718,155,387,171,
263,128,364,933,394,248,875,295,435,971,934,746,146,775,397,370,459,452,256,
865,004,427,527,890,521,827,804,828,980,942,437,683,477,930,072,619,477,183,
872,497,369,608,313,583,724,107,320,064,877,571,974,668,010,292,125,216,692,
335,071,231,722,774,127,908,739,522,839,969,257,046,397,768,935,722,857,285,
292,724,384,799,343,565,979,944,345,330,054,581,030,782,459,032,245,883,486,
717,413,969,938,557,583,090,125,698,714,974,108,304,182,306,134,104,264,586,
909,391,804,075,804,791,890,506,812,072,034,917,721,771,070,455,601,118,701,
308,665,306,297,227,935,021,972,566,921,166,033,791,206,741,720,096,675,681,
497,210,083,394,155,082,636,384,825,666,267,615,207,592,477,878,696,278,412,
495,696,480,573,359,084,416,178,196,469,413,964,123,608,578,594,089,404,907,
196,013,739,777,231,114,782,477,991,376,855,103,453,871,811,889,461,482,048,
137,326,493,580,725,974,595,923,756,252,085,878,495,795,008,098,249,111,903,
195,270,380,538,166,405,501,143,793,227,013,978,645,070,629,623,521,178,913,
870,941,320,249,980,078,261,207,129,496,550,996,008,314,993,248,039,277,916,
692,683,376,083,936,376,918,945,185,738,824,931,440,134,737,521,742,259,728,
545,587,321,031,159,511,872,267,764,655,467,665,350,909,674,045,869,155,299,
858,434,910,256,613,856,299,822,223,897,527,791,789,103,121,709,510,140,207,
457,547,219,158,682,263,212,488,210,584,731,034,390,626,372,211,132,179,475,
518,645,353,083,598,482,657,346,089,029,562,145,720,213,262,366,731,265,113,
976,349,011,782,470,239,150,424,641,164,762,634,177,751,521,226,266,080,385,
142,298,811,937,868,499,945,943,836,925,668,300,013,239,313,578,904,472,402,
330,869,258,433,324,362,040,025,324,461,763,050,449,788,049,866,394,342,684,
399,717,678,302,596,591,870,885,633,094,045,047,656,228,291,994,221,257,908,
985,625,657,632,516,620,244,192,363,416,750,933,338,834,221,077,303,883,670,
047,979,691,941,411,224,608,374,730,148,392,377,438,392,496,200,022,026,699,
052,667,018,693,533,890,945,760,368,753,801,468,459,857,096,895,419,445,029,
719,203,434,309,540,906,431,783,615,063,397,814,060,033,240,525,300,311,242,
198,852,372,086,751,625,174,583,016,817,477,283,245,843,227,687,499,257,863,
222,664,232,392,135,737,142,698,079,015,124,683,182,077,705,750,109,167,311,
479,381,295,961,074,171,377,670,526,167,529,419,628,476,194,777,632,336,970,
275,916,855,969,690,536,214,451,118,575,112,036,593,957,483,433,706,699,585,
470,800,402,178,751,330,588,320,696,060,659,210,092,547,119,466,399,650,048,
604,869,542,478,674,465,528,660,740,366,879,374,775,544,011,016,321,543,704,
997,464,350,452,522,609,320,422,152,570,248,820,507,020,455,085,284,306,174,
710,044,191,495,534,646,169,214,328,152,177,277,647,108,630,349,654,730,927,
978,873,426,026,215,135,101,328,708,475,521,112,227,020,083,174,895,579,065,
014,593,705,292,677,909,835,522,161,925,829,867,830,076,908,830,286,816,136,
501,823,531,963,731,014,936,773,213,527,620,465,571,937,729,904,247,870,134,
378,968,593,791,019,837,071,500,050,279,546,673,904,146,214,541,000,268,454,
163,149,109,199,682,819,656,207,444,530,417,203,211,666,528,970,156,907,385,
021,581,873,842,632,403,362,889,703,983,261,075,917,567,150,184,695,296,871,
550,638,250,048,720,074,268,550,665,910,572,549,454,636,860,748,633,454,736,
130,350,246,867,409,911,862,028,815,421,548,902,525,794,567,458,403,867,876,
720,924,962,688,709,321,879,983,181,103,130,235,020,415,640,930,811,988,814,
695,008,403,553,852,295,044,002,592,824,571,690,911,321,737,667,732,428,068,
809,121,206,523,074,000,421,109,140,693,134,240,875,899,556,578,455,356,330,
859,798,331,294,388,300,691,534,297,805,471,456,865,670,522,896,274,136,662,
984,670,085,712,537,794,400,450,248,948,146,881,942,667,630,777,820,179,658,
481,122,476,533,584,206,764,065,654,761,364,831,523,640,281,945,701,522,954,
819,483,672,010,194,477,421,769,065,222,698,602,407,721,914,060,639,389,714,
578,194,248,409,209,278,911,674,596,582,214,344,363,898,673,700,614,332,801,
531,064,303,690,163,076,667,535,033,488,370,580,169,762,440,135,384,577,516,
363,644,902,827,087,056,005,866,609,580,122,671,440,035,333,910,103,636,826,
392,891,237,189,215,482,424,491,240,808,051,743,016,111,339,907,328,353,505,
363,482,372,501,435,809,630,129,233,122,994,451,454,307,875,997,937,300,701,
240,083,112,961,975,444,443,518,689,395,818,096,736,950,837,500,277,302,263,
502,884,207,880,127,872,235,721,368,070,512,625,513,600,448,983,575,921,899,
542,284,954,132,127,850,622,267,942,234,350,452,781,575,510,301,349,914,879,
809,779,125,001,076,369,181,277,003,538,145,222,205,842,481,125,803,971,999,
795,490,828,850,631,067,384,735,961,370,781,789,385,306,584,141,485,284,618,
915,813,298,140,257,289,030,912,871,920,617,224,499,398,261,662,531,056,231,
846,312,295,829,762,733,449,116,542,603,594,930,865,138,215,542,446,804,241,
117,389,094,506,542,645,837,112,524,424,946,180,739,364,950,215,530,968,692,
476,189,824,978,130,393,293,609,605,762,330,920,050,697,961,664,817,024,854,
828,771,670,722,293,118,197,064,346,208,297,414,000,475,322,786,698,519,634,
795,842,729,076,433,261,516,333,612,465,690,431,901,109,082,296,981,136,335,
096,112,077,853,378,007,955,816,343,761,943,538,155,238,942,283,836,602,615,
003,179,163,571,208,204,868,014,114,064,577,503,264,181,503,335,510,496,068,
288,378,639,070,018,477,952,547,452,502,358,445,260,331,849,199,436,388,124,
816,562,809,386,031,757,141,088,658,759,667,793,717,783,349,112,025,920,919,
885,017,480,914,199,475,002,604,398,035,567,437,465,044,455,340,780,313,803,
481,555,921,312,141,418,340,286,657,098,765,301,866,977,354,231,892,809,233,
088,757,154,096,026,672,062,156,093,553,651,105,747,525,366,491,315,315,865,
654,755,258,488,786,391,214,769,156,024,815,729,852,249,210,034,341,575,837,
775,245,806,854,072,735,050,630,416,351,033,922,069,874,438,757,503,893,860,
803,561,627,642,093,105,873,089,289,644,797,943,511,241,557,140,142,691,842,
730,124,133,980,841,304,531,781,032,239,475,002,680,932,452,149,035,260,608,
373,674,234,385,296,833,014,016,006,715,652,461,402,023,081,438,103,938,420,
945,470,353,276,431,513,978,388,301,541,919,449,181,815,671,133,113,758,302,
408,502,202,349,532,402,557,480,151,289,863,686,023,033,313,725,421,203,471,
874,986,207,842,787,252,611,594,698,915,661,554,349,090,535,293,397,969,963,
970,168,232,442,111,141,274,323,900,285,490,580,802,916,240,222,525,023,033,
808,053,962,100,635,135,363,938,339,196,626,650,473,799,090,116,841,848,297,
241,241,802,612,316,776,814,808,482,103,558,641,663,387,615,567,821,704,231,
797,510,572,636,488,890,288,812,836,659,211,610,201,283,064,260,139,559,519,
887,949,266,592,518,958,452,314,910,412,217,876,019,219,250,645,022,986,137,
107,180,138,033,300,976,736,441,570,186,539,847,498,123,532,989,344,270,050,
919,007,886,571,257,287,450,780,554,270,955,355,947,965,357,776,763,673,477,
468,459,231,803,002,189,492,850,717,102,161,420,192,114,879,692,172,275,325,
718,753,938,034,428,417,266,073,789,526,638,030,658,439,596,002,488,182,972,
423,980,260,530,845,504,894,150,835,201,554,016,642,680,147,849,472,952,760,
349,969,682,844,185,764,861,346,987,504,239,742,482,360,158,035,343,793,330,
952,491,458,073,854,726,719,252,777,943,133,623,635,690,564,261,754,173,609,
213,400,114,516,765,825,366,878,760,659,590,512,107,600,986,825,927,640,513,
810,097,574,261,827,636,790,581,239,726,541,890,694,834,802,162,386,913,393,
439,910,663,705,047,413,155,382,698,117,310,253,104,395,009,255,594,239,677,
012,824,683,381,873,314,687,842,985,752,262,891,176,675,041,600,501,838,967,
862,355,621,163,348,512,583,152,376,468,654,626,466,967,771,692,950,594,466,
927,053,188,784,515,559,339,341,566,025,279,687,133,272,238,479,490,723,927,
704,799,296,458,196,366,416,936,302,948,228,744,397,855,459,896,860,648,492,
776,567,416,263,518,003,904,186,020,264,050,728,155,206,116,424,292,050,346,
520,849,423,794,114,428,275,301,555,470,306,426,121,308,338,068,351,968,551,
728,867,576,913,992,590,750,989,544,655,737,760,268,363,691,164,712,559,429,
402,470,086,124,848,732,773,600,360,961,591,965,192,633,401,920,740,536,655,
922,755,172,444,652,494,383,533,887,657,005,517,957,018,263,786,668,432,203,
667,254,554,753,188,375,081,318,985,093,087,392,163,677,721,642,458,980,613,
369,399,076,082,056,003,107,909,209,539,868,392,820,181,959,876,935,015,654,
306,906,753,221,359,780,284,868,756,611,978,868,316,255,816,515,216,406,855,
980,640,547,963,296,495,295,909,004,593,864,638,690,492,011,674,768,209,767,
832,096,481,788,876,418,901,119,446,542,174,105,428,900,299,575,035,846,590,
511,935,090,095,964,378,782,424,792,740,837,926,940,317,563,496,096,355,460,
011,229,331,125,975,481,149,641,722,597,424,365,548,057,723,562,638,873,881,
970,680,886,006,634,050,460,883,268,330,246,604,147,680,011,415,917,839,223,
641,569,729,355,505,110,699,878,391,132,090,398,616,081,321,738,076,844,868,
304,405,297,429,613,012,001,379,191,744,829,894,291,353,895,014,811,969,681,
644,754,537,880,531,813,967,338,581,719,504,523,743,191,687,359,167,356,289,
482,269,052,554,896,986,972,307,402,652,764,073,291,446,496,360,650,638,189,
714,972,839,467,722,691,888,807,724,611,951,649,676,009,194,249,137,552,503,
969,460,817,126,311,364,168,106,250,715,540,865,733,388,195,968,449,151,798,
504,473,914,353,046,604,293,125,687,968,883,149,449,476,650,108,452,419,088,
185,668,524,600,324,082,722,665,176,076,165,658,974,007,186,909,308,741,104,
023,706,879,620,501,290,926,676,642,770,106,700,240,909,892,996,054,796,494,
178,765,255,330,743,716,083,724,952,235,409,265,530,465,767,278,638,189,639,
842,609,727,255,909,499,998,715,965,217,511,848,271,861,927,251,794,393,852,
444,246,566,558,860,562,127,502,265,361,514,503,945,787,195,362,330,427,925,
959,476,363,213,948,900,972,144,698,388,206,465,460,330,691,020,086,232,016,
462,988,157,286,016,037,922,440,000,394,981,456,024,539,221,215,487,491,237,
495,342,047,832,971,234,180,491,988,593,947,963,443,978,158,631,852,643,596,
862,177,138,678,452,638,878,225,821,052,506,504,698,931,698,829,784,419,491,
291,467,839,427,107,999,175,217,798,615,059,068,698,385,163,980,229,401,488,
242,223,272,325,229,842,116,489,731,785,455,039,495,809,989,063,000,591,870,
931,764,092,249,891,188,512,625,641,661,197,556,760,167,428,870,984,800,222,
539,401,710,219,244,186,400,437,217,542,681,670,989,188,989,525,285,016,323,
141,392,337,852,720,122,860,997,154,404,653,098,169,437,170,476,801,933,395,
832,109,964,739,691,566,454,723,911,542,451,646,696,560,209,583,401,375,190,
975,030,609,566,640,404,422,594,521,553,258,124,526,126,410,294,460,160,457,
779,146,275,513,016,271,002,925,405,551,513,523,709,556,249,797,225,047,683,
594,158,872,181,318,564,997,059,149,487,707,754,165,168,960,257,872,154,095,
140,212,479,795,358,177,411,890,478,015,835,264,091,526,329,161,330,290,501,
574,665,702,220,335,889,627,514,129,735,057,678,657,290,485,098,329,604,212,
269,062,635,477,068,030,428,952,508,539,015,237,177,122,279,755,378,313,063,
272,970,832,838,198,376,886,193,245,081,089,107,267,669,102,515,267,371,429,
734,621,433,235,200,278,722,289,481,495,008,656,798,331,813,174,568,796,497,
241,937,785,235,409,300,907,638,222,313,542,500,357,138,900,341,819,041,472,
884,849,385,426,599,747,931,071,077,773,401,597,535,468,994,140,612,431,247,
388,913,043,090,811,044,413,176,119,933,981,844,871,670,114,491,551,588,803,
255,307,539,760,600,330,867,334,097,930,260,297,137,438,064,431,602,636,138,
499,377,082,988,906,426,983,883,571,354,599,970,540,546,547,101,675,600,934,
450,775,446,387,747,965,986,445,453,461,286,515,329,010,848,840,920,582,064,
679,837,636,972,753,748,629,619,520,619,399,854,396,058,306,618,219,869,907,
618,284,815,948,354,312,608,173,464,485,127,500,247,557,621,532,978,454,378,
953,412,050,585,260,265,410,561,084,204,485,097,753,557,143,195,174,353,285,
214,783,069,791,202,959,561,764,070,608,141,211,412,993,270,809,356,022,770,
196,581,978,216,385,330,384,104,481,414,967,484,474,435,844,034,192,855,445,
612,681,738,615,320,139,124,738,564,863,348,387,746,950,347,747,196,538,468,
845,508,707,776,142,488,443,276,911,916,326,459,026,403,029,615,134,071,934,
221,055,259,577,464,170,708,584,771,247,489,858,688,573,303,161,926,631,604,
851,370,298,772,134,412,814,061,530,726,651,092,247,100,201,013,461,095,411,
893,485,424,149,980,016,487,342,679,248,803,364,673,310,567,463,526,250,683,
242,164,574,009,190,798,752,032,451,053,914,376,624,372,104,295,657,127,796,
411,816,005,803,323,512,323,996,561,879,511,733,221,989,992,411,091,116,423,
606,850,977,153,967,926,569,138,999,618,756,037,521,068,764,263,677,560,627,
965,667,890,721,018,041,232,100,425,527,059,254,451,234,218,739,859,687,503,
771,924,860,936,096,895,438,966,594,237,599,533,095,017,760,706,401,210,568,
160,491,778,371,380,600,554,521,291,731,833,507,863,651,019,377,097,610,020,
723,454,070,070,214,925,706,036,658,409,986,836,487,321,685,632,114,717,583,
725,538,113,407,934,086,404,364,993,603,897,793,610,643,055,705,807,767,118,
989,984,843,819,520,331,203,793,158,881,003,554,519,748,974,188,767,139,605,
432,858,457,971,879,706,336,863,485,812,654,761,037,539,314,135,044,765,502,
290,490,715,805,166,788,189,697,621,160,270,578,153,842,327,107,284,405,842,
572,408,086,432,220,755,046,182,866,424,822,402,719,702,355,518,440,998,200,
753,654,281,096,478,418,336,879,677,701,775,400,941,947,959,597,040,699,741,
387,606,853,474,536,589,752,723,853,849,169,167,278,200,717,160,682,843,928,
944,417,639,245,444,203,689,389,134,957,578,805,306,643,774,567,479,253,257,
011,290,167,153,186,889,888,220,670,665,694,569,672,840,246,885,989,908,269,
372,254,425,983,011,565,305,211,683,180,391,430,141,152,738,972,693,290,000,
963,517,796,140,837,629,908,405,362,376,531,584,402,725,668,764,470,659,423,
205,850,906,932,591,269,082,336,345,141,526,719,319,377,654,914,300,258,877,
122,908,596,689,908,757,187,291,191,300,229,546,855,252,375,834,217,251,258,
706,699,861,833,353,351,430,838,448,202,800,493,901,995,400,077,675,400,985,
027,539,572,731,531,610,689,161,254,307,858,402,100,962,317,271,409,890,191,
651,698,224,507,310,791,256,772,885,115,180,687,704,726,957,792,035,841,303,
389,961,177,604,487,253,113,901,148,713,184,107,607,079,023,253,405,648,573,
794,835,119,245,422,156,182,981,557,660,834,050,784,892,814,947,076,014,252,
211,397,882,999,212,548,853,265,164,986,950,162,531,986,888,749,620,289,531,
759,209,070,301,311,219,426,191,377,637,078,640,487,514,995,191,934,751,569,
473,656,559,409,478,569,250,793,836,819,502,388,255,109,087,241,245,149,645,
789,297,954,786,253,229,473,769,555,293,502,434,949,583,337,379,919,879,336,
531,504,307,415,256,489,511,845,868,611,523,768,409,913,683,822,653,829,514,
518,106,161,835,266,469,768,193,930,237,105,769,758,946,922,348,130,506,138,
121,124,964,867,020,990,548,598,447,043,752,376,177,128,664,264,895,530,755,
456,193,506,264,742,582,669,939,801,823,511,478,535,636,890,890,006,188,566,
000,971,150,551,709,732,231,695,218,885,625,975,674,387,408,738,733,421,507,
057,225,699,360,909,828,204,578,478,489,328,388,710,218,550,829,190,200,758,
167,632,366,455,202,344,986,996,671,979,041,961,499,728,332,244,370,547,409,
502,490,007,873,497,583,376,175,016,801,595,296,118,327,855,649,658,935,764,
730,819,338,634,278,476,745,256,836,328,178,850,799,364,617,886,385,957,341,
572,514,983,770,945,531,064,142,303,850,431,841,256,059,172,550,883,305,957,
781,140,983,861,341,906,412,152,496,141,212,179,439,613,577,619,801,138,514,
156,893,320,300,358,033,845,922,926,128,169,040,076,204,928,753,970,109,722,
074,237,505,406,607,832,123,246,390,203,510,529,005,809,588,315,537,201,352,
411,809,743,501,078,559,926,494,410,006,138,896,543,355,540,903,448,554,645,
873,576,334,539,716,020,853,805,559,677,351,535,617,150,351,255,010,114,563,
698,670,086,213,215,141,283,109,028,391,677,460,316,789,554,631,945,274,754,
316,084,720,509,014,450,591,491,427,141,559,783,927,488,728,548,881,792,835,
253,427,875,233,356,982,310,787,490,259,014,410,749,593,889,076,470,524,777,
167,648,449,399,065,230,359,812,865,066,307,426,384,930,127,805,763,874,625,
336,636,360,216,963,259,420,922,121,365,501,900,678,076,074,650,534,670,321,
612,109,961,135,344,503,866,136,090,650,095,205,149,615,702,240,833,737,371,
023,874,214,914,780,788,168,417,486,109,142,472,015,691,719,700,770,888,951,
732,623,332,943,659,303,203,376,166,624,930,523,186,898,369,074,306,893,509,
170,390,409,966,637,080,016,327,324,116,630,493,106,212,853,174,942,859,678,
627,474,791,801,879,261,127,540,208,014,448,182,205,017,191,362,338,521,431,
326,553,772,602,613,184,640,019,303,804,302,441,036,024,000,664,425,553,471,
001,178,456,166,196,020,480,944,909,389,282,891,032,271,176,842,045,579,775,
875,993,252,023,632,725,101,106,677,570,808,587,771,817,598,542,954,219,709,
534,449,983,292,045,126,000,447,121,930,264,323,607,033,957,670,684,729,377,
858,732,305,433,387,078,818,481,874,062,328,286,364,962,255,454,133,780,074,
521,782,578,955,499,299,530,274,542,926,037,040,660,279,014,077,570,296,233,
143,413,186,881,780,129,427,965,874,793,472,586,277,925,768,666,920,776,793,
366,492,446,932,630,095,696,460,100,565,752,283,516,732,666,877,074,932,645,
491,635,044,145,489,238,528,169,712,135,891,150,451,679,158,272,306,790,387,
741,788,392,632,892,028,976,893,563,477,886,123,444,994,800,526,520,922,958,
133,538,272,163,262,175,702,529,585,947,142,966,919,625,483,960,989,756,346,
824,352,489,018,440,259,746,925,189,786,361,290,192,635,932,568,629,604,245,
414,198,535,304,340,826,696,667,901,042,936,954,669,291,456,780,877,046,372,
772,213,782,214,116,938,309,615,871,015,044,452,490,656,082,215,918,459,010,
361,665,494,989,205,001,747,587,969,950,875,178,132,582,984,746,417,124,696,
233,472,000,201,493,969,531,278,860,783,220,006,762,952,809,590,796,173,236,
733,764,125,690,903,560,516,003,090,279,289,209,223,289,494,090,272,131,836,
058,144,243,915,242,723,283,284,407,799,979,239,528,214,060,101,748,561,442,
076,700,635,919,838,302,977,437,471,401,048,442,415,695,683,552,022,400,088,
018,235,561,645,121,879,350,167,631,748,650,953,627,130,898,983,312,956,010,
614,425,859,270,719,572,289,816,915,062,546,053,712,935,087,487,143,649,009,
678,774,298,640,814,628,176,570,645,471,644,574,155,311,361,220,432,974,437,
753,091,061,993,251,857,519,472,141,609,337,004,775,254,907,660,908,169,561,
049,504,209,868,369,674,848,214,763,291,249,004,631,717,065,915,310,411,979,
171,691,084,785,968,112,769,983,946,109,842,835,906,941,721,897,528,955,050,
571,852,961,172,466,663,152,929,195,399,039,717,994,425,745,176,928,251,448,
878,379,050,025,365,946,621,569,550,936,906,665,831,358,380,568,288,420,514,
635,393,655,666,066,259,402,124,694,188,193,227,731,971,874,651,554,052,106,
413,310,411,443,791,487,710,153,794,230,828,070,976,381,732,044,596,516,754,
787,969,230,741,461,377,562,440,815,080,171,560,646,765,492,627,276,496,213,
017,138,121,025,945,741,997,446,191,280,976,667,710,346,928,807,920,494,826,
675,461,179,637,306,545,885,891,065,686,346,315,057,073,950,237,822,391,900,
167,554,292,355,996,461,339,683,288,049,754,184,725,357,348,555,943,252,081,
518,982,944,144,034,831,523,397,560,345,431,231,496,163,342,516,141,319,709,
571,421,807,015,742,914,857,878,351,768,653,992,303,240,324,537,490,903,852,
017,880,365,480,931,722,206,771,720,500,926,357,425,322,866,253,390,235,068,
178,945,729,528,153,742,169,600,484,267,435,941,025,999,485,450,380,508,957,
599,281,815,715,460,125,123,419,625,952,289,625,310,044,650,894,166,251,985,
758,973,304,034,327,042,100,088,371,023,466,455,383,188,431,371,184,477,388,
429,964,927,556,410,113,481,866,031,817,687,428,594,083,513,745,457,719,747,
702,911,489,623,182,339,525,803,559,285,882,118,736,683,351,406,103,635,582,
185,782,958,917,580,183,997,060,828,431,124,937,886,426,120,643,969,381,915,
581,589,814,301,782,484,076,123,027,246,425,402,042,343,295,874,796,161,788,
711,705,351,658,567,384,430,813,518,124,024,540,433,887,315,009,036,069,223,
382,927,159,946,202,592,311,145,261,339,399,094,012,483,816,529,203,906,418,
718,683,434,468,896,586,921,599,196,951,509,264,480,779,963,822,229,866,065,
615,505,341,744,802,688,074,481,218,526,251,915,898,514,474,253,897,534,438,
349,586,019,109,473,128,816,824,583,232,991,225,411,229,818,013,246,216,909,
557,299,387,426,343,688,988,702,442,137,099,874,297,428,655,430,538,200,926,
760,829,266,961,953,759,997,130,139,995,702,684,003,394,285,771,270,785,780,
899,519,330,544,160,983,063,306,665,722,590,929,963,492,272,482,646,633,874,
699,970,247,708,292,325,801,486,034,238,515,459,374,459,403,476,363,061,609,
534,163,473,966,084,027,192,479,391,405,951,803,263,926,579,610,623,501,605,
478,505,949,764,771,221,742,992,831,584,886,408,052,922,307,853,312,723,002,
692,105,059,066,209,018,259,092,595,010,198,176,512,720,584,862,573,097,586,
414,191,212,608,189,068,215,275,989,286,173,188,807,947,854,718,810,005,793,
394,371,553,382,411,752,205,807,783,902,183,962,014,618,927,524,163,193,462,
233,099,432,836,361,137,853,370,224,282,063,794,648,709,204,889,973,334,865,
832,984,064,502,901,704,505,563,866,937,370,953,668,524,976,952,915,431,773,
994,537,417,157,899,447,592,661,317,713,480,024,310,811,603,372,669,046,804,
311,984,825,105,210,539,842,624,164,710,917,378,064,591,894,996,079,620,431,
418,295,752,491,956,888,860,908,942,803,033,038,005,733,738,222,090,718,803,
138,841,446,006,456,461,774,905,928,892,872,496,124,652,209,935,714,644,100,
305,761,916,306,267,888,377,103,423,883,113,679,022,691,794,234,148,132,464,
935,310,993,614,357,042,900,814,186,469,136,740,740,638,926,152,467,117,622,
691,764,839,763,461,170,608,331,084,808,430,852,916,605,491,082,995,121,315,
957,701,835,622,891,482,375,675,056,690,797,211,611,072,136,906,023,465,392,
562,009,466,226,969,318,138,470,480,478,250,826,423,917,330,724,884,377,597,
358,554,510,219,601,868,057,123,578,447,803,980,141,432,838,321,390,414,580,
254,176,730,428,280,302,682,741,921,272,139,527,098,022,918,699,472,541,330,
592,174,407,778,921,814,113,126,212,200,952,618,149,394,974,381,608,835,013,
801,819,708,819,974,194,285,894,193,798,753,506,275,055,804,687,379,733,686,
308,882,117,340,637,676,880,414,303,445,635,133,375,132,008,230,146,214,853,
851,362,010,801,909,764,409,696,531,674,433,248,367,994,891,732,351,515,865,
869,798,416,087,523,857,107,957,417,242,723,170,786,518,891,313,872,299,768,
497,370,423,671,436,096,573,806,761,047,856,466,879,701,070,516,988,684,090,
053,264,091,487,633,934,151,511,395,378,801,647,533,846,628,028,068,268,271,
857,122,606,492,407,910,336,915,120,448,163,400,938,313,619,850,295,355,009,
461,950,124,424,427,032,862,105,966,214,138,303,858,722,604,516,506,282,115,
839,120,744,125,410,976,024,258,279,056,931,748,192,577,487,736,146,826,497,
604,089,138,157,216,269,614,197,598,195,498,257,427,008,901,278,609,729,147,
085,668,805,817,905,838,786,195,872,368,192,464,154,640,420,038,181,973,428,
743,890,149,097,173,913,513,114,203,374,007,762,158,979,631,015,115,344,764,
626,600,082,407,783,249,641,306,295,594,269,715,127,188,548,186,849,351,486,
446,456,937,760,696,424,540,812,311,449,586,493,530,271,201,021,857,823,397,
194,922,236,103,752,473,179,365,842,522,670,063,364,075,105,167,121,690,878,
142,709,520,340,144,149,852,865,487,946,612,659,180,955,661,397,019,029,379,
436,391,216,460,058,574,770,965,674,428,606,532,863,429,468,719,435,690,122,
671,421,644,567,298,781,785,352,550,740,200,598,168,559,737,567,810,260,656,
170,836,735,254,420,060,490,974,016,946,432,603,453,789,188,486,267,226,832,
657,427,909,152,055,246,968,663,367,679,063,453,847,961,103,648,396,796,971,
502,389,762,380,815,528,119,926,916,060,074,335,171,223,056,837,747,405,962,
228,280,187,108,835,080,917,408,827,995,158,539,834,407,781,862,647,653,704,
178,271,004,746,985,127,392,521,878,822,390,942,920,124,754,281,042,993,235,
426,334,222,130,448,000,622,528,671,737,350,632,871,551,088,722,285,119,701,
038,489,459,949,327,829,123,322,016,982,736,078,417,881,493,057,874,495,009,
098,458,787,927,843,964,410,612,413,318,705,084,011,722,095,925,162,485,591,
304,945,020,588,818,419,752,887,495,506,141,802,621,875,714,266,485,647,062,
043,212,440,915,711,743,462,842,496,183,841,064,362,219,292,242,252,712,150,
546,426,837,653,373,516,809,782,116,488,893,948,272,973,696,822,556,204,456,
560,563,340,138,887,530,455,724,776,836,737,401,245,236,233,931,020,722,213,
417,774,374,793,575,379,693,938,489,216,438,625,121,702,262,510,289,089,880,
116,196,549,081,859,836,708,361,156,242,644,473,380,842,699,966,627,150,022,
537,773,979,385,763,233,889,824,560,521,097,917,493,105,702,029,761,873,585,
658,273,386,717,059,179,379,616,250,508,015,444,994,428,386,584,540,579,397,
118,609,024,775,739,821,674,922,009,876,268,660,181,908,508,529,212,633,638,
098,111,575,943,260,781,852,250,796,035,652,925,141,332,672,551,380,823,888,
338,870,085,482,333,683,980,830,587,932,512,984,816,986,723,770,707,947,321,
119,449,023,393,133,588,323,384,291,557,735,659,281,528,208,468,719,433,028,
810,652,757,440,117,587,408,984,917,484,318,541,085,223,883,824,034,350,150,
363,878,204,862,207,937,936,715,142,922,595,938,789,068,900,684,082,837,405,
657,631,020,027,285,263,298,380,884,523,152,010,052,786,446,942,436,667,808,
404,441,038,856,344,809,616,386,441,877,795,303,594,447,130,064,670,910,626,
443,694,865,400,567,005,771,568,575,095,805,408,061,171,162,167,046,826,589,
366,250,729,392,065,532,137,853,067,156,500,723,430,464,034,008,165,704,623,
944,802,248,394,352,800,325,163,695,877,608,976,679,532,765,825,215,137,719,
636,998,334,540,271,263,948,853,944,270,417,739,813,031,392,814,964,880,597,
798,520,243,329,524,488,003,585,677,020,553,763,125,984,352,701,100,610,864,
013,323,558,926,325,047,673,593,763,657,537,625,397,848,399,830,261,685,880,
467,251,967,939,274,321,323,536,640,454,135,979,015,079,909,946,461,854,912,
483,202,334,234,683,579,548,858,022,411,230,105,652,715,631,708,800,781,114,
491,384,249,966,020,471,930,366,940,626,156,564,592,186,792,504,978,458,837,
913,852,852,176,701,467,566,013,608,737,855,574,070,713,305,013,570,016,270,
779,344,431,144,928,371,259,205,740,631,033,575,568,205,625,184,596,469,118,
610,405,172,228,047,389,926,404,563,421,464,574,668,742,221,638,615,600,314,
285,390,870,607,331,000,689,445,935,372,243,485,598,528,329,873,125,096,848,
154,574,346,614,052,391,177,620,074,757,061,324,354,757,119,674,197,484,777,
700,813,947,977,724,361,210,100,663,695,595,500,397,024,479,970,350,172,827,
155,276,304,446,555,748,953,091,634,082,765,925,159,693,904,989,384,394,251,
011,939,455,553,555,605,425,930,760,357,286,499,787,900,254,127,361,682,940,
050,750,272,129,321,853,619,314,450,369,595,508,851,044,637,386,134,073,876,
988,056,675,949,160,014,478,155,581,156,542,685,509,047,130,455,848,758,365,
941,892,858,252,816,065,321,035,569,950,497,958,738,194,373,926,508,589,610,
220,285,227,006,527,388,135,669,633,976,010,908,621,131,332,813,725,481,006,
293,963,010,203,217,219,394,757,665,895,484,204,404,705,728,838,550,330,939,
330,748,690,200,176,908,678,681,575,554,309,240,643,497,785,612,065,563,717,
345,614,344,655,837,199,659,954,029,109,066,077,912,990,330,659,446,546,867,
444,439,531,381,739,816,577,643,158,354,861,549,670,900,574,726,662,043,774,
850,223,971,732,987,523,375,974,252,154,468,840,111,520,629,238,456,953,267,
350,325,643,317,498,226,079,616,208,948,122,995,848,613,807,156,810,334,342,
725,573,693,357,481,557,226,070,793,771,328,539,527,257,950,340,453,735,873,
365,259,130,397,970,185,976,324,869,246,920,086,280,586,680,244,762,061,855,
829,224,293,930,702,104,199,954,190,642,414,265,662,349,328,200,869,973,934,
850,592,877,204,317,737,070,933,476,480,381,308,892,709,272,341,595,726,898,
204,242,164,621,607,851,911,546,265,016,834,712,122,303,897,338,042,360,280,
641,950,474,448,990,548,457,599,509,211,851,617,573,175,289,988,737,532,224,
127,306,899,162,273,362,818,943,194,607,966,324,444,372,752,488,173,374,996,
480,630,678,531,925,563,581,737,543,697,510,133,660,733,742,490,640,248,903,
352,146,088,632,258,193,366,714,091,233,817,073,272,405,862,237,040,532,695,
088,469,759,960,425,151,630,755,800,506,930,796,450,210,129,096,309,664,026,
750,213,106,624,676,356,316,997,410,794,365,650,087,351,896,864,757,416,684,
566,449,893,601,315,861,712,750,668,915,838,848,926,668,042,654,767,172,218,
428,665,028,426,864,091,407,423,049,478,731,770,278,885,366,832,530,136,025,
328,967,882,782,093,347,017,460,535,926,487,537,021,572,287,213,332,828,516,
910,522,340,163,825,386,580,368,343,915,533,018,230,746,479,183,739,900,659,
849,774,656,955,482,295,082,507,837,450,549,190,577,981,240,416,684,760,917,
791,091,796,562,808,747,580,566,737,461,131,672,454,230,412,501,493,555,206,
642,105,392,157,614,719,910,575,739,882,796,928,859,685,448,308,997,059,003,
384,552,916,759,843,248,424,677,004,909,945,846,467,609,435,163,843,802,517,
551,338,001,252,514,728,121,534,216,732,695,580,471,093,606,666,052,912,479,
606,799,726,362,006,468,355,141,851,422,361,498,697,652,745,721,666,212,616,
076,471,745,750,681,071,356,759,183,411,206,502,117,043,457,070,079,861,209,
226,680,992,959,815,899,770,265,878,197,726,783,525,884,867,636,623,184,465,
553,163,660,763,263,346,323,525,260,755,704,782,254,303,589,882,660,838,936,
237,965,868,129,306,875,891,023,882,795,683,437,118,098,301,644,160,241,973,
453,479,990,161,998,277,904,433,489,957,365,155,613,342,694,888,451,425,671,
036,043,606,907,974,220,596,117,524,049,667,779,743,441,145,409,248,953,596,
910,477,659,320,381,067,962,054,877,965,198,645,166,754,792,903,983,653,692,
147,338,549,609,414,010,092,539,667,598,444,232,667,606,620,804,118,890,692,
806,493,976,417,528,523,392,489,912,566,190,027,946,675,257,616,026,587,072,
903,973,390,345,401,868,349,817,572,577,939,088,363,410,412,809,019,874,931,
390,403,915,047,512,085,758,761,216,495,343,753,178,878,303,899,272,453,310,
491,200,238,838,589,023,179,448,577,750,697,351,338,886,837,995,356,152,856,
375,590,459,671,933,249,099,623,989,698,798,434,342,505,366,758,480,417,182,
638,391,432,284,032,982,982,829,201,361,190,104,483,039,895,651,887,924,522,
784,167,720,057,708,063,677,997,170,980,995,684,575,999,986,029,638,808,779,
851,077,006,080,502,649,175,264,020,780,186,849,192,296,528,679,827,134,736,
243,145,377,461,902,577,006,469,115,751,200,696,331,476,258,650,946,628,851,
593,082,889,204,728,804,769,046,376,736,638,365,483,453,432,370,568,126,611,
246,716,459,986,720,635,541,242,790,500,609,669,208,922,374,592,493,654,514,
528,943,276,788,860,882,289,841,156,503,087,394,099,159,379,315,845,756,392,
989,520,412,240,297,979,560,562,301,203,121,894,033,303,620,772,983,094,403,
255,319,835,475,150,168,605,598,485,783,568,746,668,573,227,604,563,508,251,
761,005,162,961,933,843,536,857,290,029,000,246,560,034,627,738,069,575,700,
951,187,730,809,767,752,371,964,850,841,221,176,029,234,206,446,050,617,673,
343,052,437,031,199,863,925,301,455,389,624,290,125,645,949,764,088,590,534,
941,848,520,720,223,472,120,430,928,100,183,139,820,678,860,774,777,070,723,
453,508,770,259,376,921,121,942,179,585,410,044,234,107,772,614,258,656,911,
557,122,221,855,810,759,463,221,870,014,617,778,142,947,482,430,320,483,748,
352,789,783,733,340,542,666,578,261,728,674,161,370,984,359,582,923,960,861,
348,108,276,500,130,648,359,145,108,819,404,777,962,489,748,434,222,970,113,
571,595,596,462,263,929,745,372,369,982,014,196,255,677,103,368,102,556,830,
883,601,681,115,404,513,481,142,314,175,463,187,415,670,659,387,345,279,216,
135,671,453,513,431,891,406,862,733,091,221,987,686,168,919,098,897,221,650,
426,799,200,871,350,732,672,579,695,852,265,238,389,076,910,039,386,962,385,
154,081,234,837,013,078,138,810,905,844,522,626,423,409,682,873,881,187,073,
117,443,474,364,954,252,241,148,106,880,314,753,183,842,900,941,241,625,982,
894,020,208,526,756,117,897,180,458,165,706,038,736,578,274,413,062,387,772,
455,396,271,519,981,145,035,441,348,364,079,998,908,285,515,940,489,654,464,
950,687,106,997,405,818,833,376,621,922,501,299,308,403,307,678,022,890,496,
185,934,084,043,873,840,785,648,544,378,791,554,174,879,128,639,340,354,751,
631,542,494,991,691,649,773,825,704,203,941,584,324,324,588,230,208,995,322,
369,840,523,000,069,293,359,194,849,945,677,589,384,806,460,059,940,473,685,
449,736,138,100,879,576,833,716,493,071,030,795,511,308,963,402,098,172,799,
940,760,170,772,912,697,028,952,752,350,303,154,330,527,815,782,829,367,787,
016,210,760,176,131,611,330,322,557,721,129,486,946,925,005,752,900,665,950,
049,547,005,560,189,654,589,840,227,938,555,293,447,253,625,971,944,461,491,
132,681,207,678,478,717,286,702,982,974,230,241,329,212,615,112,649,351,942,
917,218,873,882,800,274,553,241,008,364,614,800,611,531,701,564,122,373,269,
712,552,437,786,642,763,658,306,014,202,365,000,010,371,560,446,119,899,609,
834,106,277,447,339,754,537,025,121,474,767,008,609,400,775,155,684,214,787,
554,701,515,128,545,057,313,202,992,739,662,756,721,905,408,315,683,637,623,
630,278,906,108,739,914,285,766,051,705,441,824,734,132,814,731,650,895,019,
244,341,566,049,317,559,212,211,583,170,256,520,824,840,995,177,013,384,503,
395,562,686,388,937,642,141,462,105,169,915,903,407,360,584,891,721,881,833,
798,882,143,518,824,391,809,618,971,109,699,640,354,414,392,304,160,315,426,
188,775,353,801,690,214,221,197,848,904,575,455,886,243,048,815,910,033,567,
998,901,304,571,051,600,172,626,761,935,714,688,949,133,025,386,397,955,361,
392,651,715,476,066,255,005,621,965,007,696,309,595,028,612,231,496,827,464,
417,684,839,205,911,235,939,700,926,834,432,520,749,102,215,485,288,376,955,
326,818,836,091,612,809,860,823,884,451,739,959,062,081,315,769,041,849,216,
038,852,015,695,472,401,510,596,093,774,214,730,523,312,268,122,104,123,175,
073,867,858,631,463,144,873,927,057,624,622,623,292,575,507,437,715,335,777,
728,332,524,514,119,743,396,901,771,572,160,945,374,144,615,221,059,077,739,
091,875,781,432,346,252,347,056,147,792,441,442,422,172,069,125,527,113,188,
073,225,491,917,975,840,444,481,999,011,930,513,677,333,850,685,633,537,623,
155,928,090,684,237,958,473,415,318,603,290,916,749,852,804,158,270,683,936,
179,803,216,310,479,122,651,013,251,107,412,653,986,423,380,406,855,501,455,
357,648,464,069,405,420,074,449,697,020,384,509,670,434,798,629,083,170,168,
527,690,457,367,324,925,281,426,819,846,806,885,330,817,945,416,884,289,690,
236,080,533,041,326,033,575,714,659,506,862,882,854,094,243,504,986,029,906,
753,080,024,027,637,244,517,639,738,395,565,371,896,208,174,019,509,110,541,
997,195,055,114,140,190,855,357,969,936,727,933,723,002,125,693,804,076,150,
149,181,999,561,836,100,295,936,800,847,912,677,008,727,522,412,687,658,436,
305,233,201,946,385,076,726,585,677,130,602,181,579,490,808,882,412,181,896,
595,912,317,151,967,584,671,992,758,745,974,376,923,140,053,165,050,709,902,
629,574,306,343,496,583,747,799,879,886,272,114,129,770,036,096,409,994,321,
975,060,813,874,159,776,811,884,158,899,589,210,913,888,295,993,291,740,118,
665,112,589,474,636,916,576,557,311,866,670,915,942,882,154,412,347,204,377,
521,902,150,194,870,695,447,492,572,643,153,392,228,813,454,097,403,600,422,
941,131,615,727,029,251,398,427,885,042,567,882,700,772,974,280,380,196,675,
717,122,983,924,877,511,601,178,555,628,823,448,785,026,886,168,015,640,709,
641,051,488,216,677,948,369,438,990,679,529,521,571,776,249,886,441,790,364,
421,712,875,982,852,468,279,100,633,171,442,265,204,944,956,805,021,312,671,
420,014,154,455,521,683,008,114,760,682,396,152,812,473,392,494,539,291,701,
703,041,553,453,936,083,756,840,235,909,959,107,325,226,022,074,058,039,763,
047,728,319,611,696,529,979,339,965,026,721,749,183,505,786,284,358,251,163,
631,863,570,858,461,502,131,257,048,005,809,155,349,950,771,944,119,067,046,
915,432,665,186,096,515,605,503,042,582,335,394,327,676,105,602,712,760,606,
294,572,414,157,426,561,306,596,579,202,756,803,002,164,716,776,869,256,065,
076,246,544,851,104,337,988,243,077,000,509,483,177,819,212,090,971,767,453,
149,151,388,438,345,541,292,391,861,752,770,051,114,767,804,951,729,148,963,
890,146,523,383,472,880,156,418,983,539,689,590,047,138,421,108,648,916,519,
094,622,817,340,815,009,403,489,917,766,781,638,510,022,847,011,209,800,294,
781,465,520,605,147,590,243,564,544,217,458,605,586,930,294,896,872,569,534,
284,697,166,043,241,603,049,008,015,545,767,825,493,292,877,336,987,571,551,
807,684,201,924,680,683,461,497,590,091,713,223,604,505,138,469,096,386,594,
307,246,484,381,806,282,036,200,669,108,068,655,540,973,202,510,065,225,450,
707,962,429,336,579,803,375,158,251,100,745,845,350,185,121,531,016,903,569,
513,048,343,805,142,567,303,507,304,031,584,504,066,759,047,486,989,242,274,
994,720,307,802,394,826,630,420,231,124,730,384,765,654,888,503,346,171,081,
992,332,744,691,461,558,533,710,820,642,485,707,313,001,439,363,145,544,918,
527,024,381,213,707,727,988,011,154,985,190,767,775,644,683,471,167,857,209,
176,231,731,003,555,209,529,814,321,273,661,436,320,999,761,717,539,360,175,
468,023,534,323,907,895,927,296,474,959,792,328,402,675,202,118,140,886,876,
832,809,151,236,043,346,066,067,674,305,916,162,350,426,178,472,144,310,705,
513,499,012,484,609,808,679,447,738,497,141,937,158,254,329,875,234,681,623,
948,863,241,338,172,121,754,349,784,134,568,824,494,802,403,792,606,695,302,
109,069,578,373,828,066,934,341,696,226,025,755,310,737,776,182,811,592,812,
785,917,335,171,716,236,111,111,819,235,683,599,758,956,423,019,034,487,537,
058,682,044,905,173,521,796,872,154,963,043,175,595,783,090,086,715,610,815,
461,541,666,611,478,948,197,608,394,436,571,167,652,595,166,933,131,274,007,
133,303,076,822,613,130,921,189,734,005,746,312,377,107,453,269,870,187,182,
946,981,195,397,910,900,743,713,323,217,584,405,397,203,364,527,942,541,402,
721,316,983,635,790,810,276,339,139,231,607,269,523,384,444,612,482,998,869,
420,594,458,092,132,970,395,343,972,894,578,087,691,736,418,139,234,977,376,
437,735,550,757,936,668,733,544,624,407,811,173,119,173,315,204,468,140,834,
388,943,812,209,618,040,839,580,225,410,809,777,532,939,758,955,247,647,116,
761,258,747,234,091,040,465,345,887,545,884,810,899,516,702,281,925,075,148,
389,488,659,597,742,414,295,906,365,502,759,094,488,929,845,911,016,507,857,
796,404,005,022,355,284,876,612,287,982,608,595,896,176,383,989,131,255,415,
640,733,272,296,476,666,199,720,975,024,368,745,441,712,684,342,694,516,942,
206,942,828,597,164,905,173,053,255,021,030,450,460,933,607,411,598,814,100,
369,680,768,053,947,908,929,309,158,890,847,129,687,061,739,794,925,306,157,
758,925,615,779,679,275,123,562,445,652,387,872,133,889,383,761,114,377,973,
297,282,891,879,286,453,195,471,836,035,349,616,502,520,610,274,038,657,227,
985,475,258,866,739,926,363,405,421,181,139,700,383,016,558,933,849,628,122,
377,872,450,858,466,141,380,779,861,930,770,498,892,346,897,788,747,736,914,
803,813,051,872,910,822,271,701,596,908,049,386,758,802,983,596,065,049,007,
493,605,791,264,988,402,963,847,038,801,702,284,194,601,232,026,834,376,331,
590,484,824,567,287,132,019,025,800,336,585,752,898,638,162,246,925,116,077,
124,095,017,127,964,642,396,763,420,684,580,276,186,442,850,280,610,606,783,
113,939,902,870,966,115,800,256,814,964,148,509,973,855,397,899,000,964,885,
217,886,835,847,996,883,120,505,626,796,823,027,711,639,598,885,506,673,962,
695,498,318,296,002,431,410,645,929,338,795,636,392,941,212,313,622,407,127,
432,002,584,551,333,046,507,073,777,131,238,702,886,478,568,249,374,558,400,
336,559,914,459,045,642,605,486,715,064,540,256,069,889,733,472,859,670,753,
325,179,687,728,532,568,771,918,059,484,577,688,288,081,938,113,287,027,226,
609,217,931,699,722,369,534,398,045,820,858,096,433,646,046,365,734,196,582,
084,468,928,848,330,242,147,431,305,281,204,828,154,340,883,960,893,405,971,
513,218,683,062,095,187,261,860,680,437,014,831,677,495,668,934,505,052,240,
434,267,288,395,790,733,669,726,734,497,095,376,164,573,049,523,463,295,484,
581,696,134,452,113,658,484,258,752,604,940,660,332,689,928,987,410,008,745,
468,378,541,454,139,983,007,015,287,679,772,839,723,742,048,743,218,284,353,
764,959,556,874,593,617,954,358,015,042,098,985,794,967,847,997,797,074,781,
759,429,486,100,315,566,367,668,879,987,769,357,705,504,152,685,996,457,195,
434,641,490,939,632,239,047,118,650,886,876,368,060,617,674,154,450,415,106,
361,848,724,740,188,661,617,070,445,552,423,584,305,453,520,358,195,809,240,
178,695,674,695,169,331,266,827,219,767,107,687,575,439,845,518,003,244,732,
885,695,830,605,059,785,648,975,045,186,963,611,881,729,442,575,256,060,832,
356,160,742,054,455,233,078,706,514,191,269,131,395,860,667,695,873,023,735,
042,113,592,622,416,425,292,790,552,912,017,597,792,919,855,266,501,929,122,
932,905,618,703,278,857,184,267,473,308,317,782,884,334,751,510,469,856,504,
140,460,167,875,517,974,507,505,685,678,701,153,819,640,863,696,738,900,651,
075,885,268,596,104,129,989,735,963,386,388,532,805,302,113,097,691,074,677,
004,184,324,463,837,615,531,058,323,331,741,673,617,108,373,755,980,053,865,
975,290,462,926,565,491,539,774,492,500,185,029,514,745,518,631,164,456,057,
722,591,801,003,524,748,247,664,415,517,006,500,065,277,792,268,944,412,180,
167,061,875,580,694,706,832,317,033,360,943,604,249,689,350,561,513,138,888,
518,661,361,274,376,609,822,664,809,015,115,495,556,074,067,590,048,328,168,
009,381,872,415,903,941,232,379,728,934,184,096,717,629,042,288,640,460,803,
764,646,006,084,723,321,658,857,804,988,105,104,491,851,257,863,748,833,528,
711,873,647,803,193,112,673,506,868,465,995,496,745,358,561,263,052,169,033,
704,372,855,715,392,656,448,530,002,846,683,769,023,277,079,512,461,673,582,
648,038,189,349,517,766,709,474,565,232,642,947,615,400,227,363,729,144,945,
742,372,514,922,013,964,121,796,476,812,715,171,727,323,122,346,730,816,646,
385,396,324,034,723,704,126,447,174,200,379,492,983,556,235,569,322,680,593,
537,149,775,950,950,371,986,931,903,596,490,896,149,704,279,978,884,223,052,
799,063,783,951,119,261,492,714,767,445,548,098,140,966,881,018,288,510,825,
929,407,324,208,766,988,077,691,849,270,168,176,583,994,314,680,969,429,956,
213,619,014,381,767,781,208,914,627,528,842,983,370,389,355,577,115,176,714,
672,958,304,634,183,738,416,306,173,598,492,327,195,908,505,829,094,288,371,
671,511,563,408,375,550,048,748,590,940,681,779,353,885,649,775,914,484,697,
864,773,337,310,073,249,438,284,550,329,937,645,639,383,957,449,555,714,937,
202,843,599,109,854,403,556,134,590,763,643,491,622,902,404,658,077,941,281,
641,830,052,803,172,138,479,405,389,019,588,701,980,022,470,395,893,172,312,
584,209,810,071,826,736,514,572,526,802,459,392,653,902,746,843,671,639,649,
046,346,985,938,517,598,955,469,191,149,844,448,630,680,560,720,473,402,572,
413,444,825,488,601,407,589,247,985,436,623,551,415,203,201,292,933,162,824,
248,894,511,485,750,665,784,550,867,041,288,045,646,810,792,452,508,027,361,
523,116,312,271,897,414,505,817,522,333,129,830,127,597,394,265,256,993,259,
812,723,455,036,047,545,752,972,692,497,332,540,419,048,531,847,499,420,310,
491,817,870,696,442,333,813,023,718,613,701,390,453,476,407,879,605,557,760,
236,882,538,997,974,603,165,814,823,933,098,222,671,678,872,851,513,002,469,
369,312,234,067,118,557,932,907,299,200,013,097,215,239,524,889,272,470,245,
364,957,774,505,954,022,016,850,688,892,287,449,595,231,350,369,036,413,740,
614,230,406,011,211,198,520,563,375,311,201,554,070,625,330,999,620,256,492,
271,325,339,315,852,396,302,008,947,978,029,950,505,521,225,472,524,270,347,
249,991,123,521,132,845,767,976,733,459,881,842,850,488,784,774,634,275,418,
598,524,298,416,077,368,530,266,106,659,106,084,405,229,240,811,822,414,902,
799,471,594,704,972,832,691,502,342,129,463,030,567,463,523,933,533,787,714,
620,273,108,219,273,056,132,058,003,579,474,059,757,793,447,043,414,217,967,
824,340,350,777,803,895,099,990,795,468,131,413,524,963,075,852,065,250,369,
778,554,547,332,709,204,361,302,747,678,924,875,212,970,997,197,529,744,717,
513,698,340,598,369,300,757,735,917,279,102,713,840,839,019,849,478,566,050,
921,215,371,959,735,036,442,954,777,988,130,472,087,136,975,066,085,873,687,
156,603,013,832,202,303,072,358,360,214,622,318,928,980,344,266,937,313,287,
078,836,992,005,946,237,182,438,177,125,873,457,085,918,583,842,180,988,596,
979,212,992,161,768,827,711,220,801,473,288,081,399,142,593,387,692,790,404,
913,212,275,258,632,559,840,938,856,120,125,054,916,366,662,452,091,536,248,
891,551,190,142,264,563,574,849,591,786,421,430,902,196,628,198,516,751,443,
843,118,022,956,925,291,167,034,149,052,851,672,697,937,874,165,884,656,502,
641,766,385,846,187,741,126,941,926,403,881,851,650,715,687,376,426,877,714,
499,676,085,946,906,194,555,851,670,463,808,417,625,881,429,855,994,846,474,
076,421,122,323,925,881,979,357,953,410,630,461,832,334,793,810,149,529,705,
415,045,543,334,821,405,189,209,462,032,299,107,849,286,318,319,026,331,747,
597,387,176,570,744,706,166,416,664,877,801,993,018,857,568,976,800,895,221,
736,912,072,639,684,127,167,407,733,201,484,517,494,031,310,387,355,379,596,
675,332,934,077,153,157,898,775,950,657,247,088,399,964,987,909,093,166,431,
595,819,769,093,968,824,229,363,270,315,147,949,657,807,325,210,418,277,725,
489,862,095,761,039,646,702,674,026,760,797,239,042,075,923,323,416,675,805,
530,607,846,046,549,973,391,624,574,184,876,597,287,430,446,359,759,049,761,
619,874,042,641,755,675,890,109,193,106,555,224,040,781,119,193,727,371,140,
175,404,641,275,436,609,698,398,308,681,784,767,834,109,548,622,874,050,853,
337,687,644,758,690,023,829,571,474,627,146,487,381,355,032,260,200,716,848,
720,683,308,949,120,752,942,360,853,198,815,758,585,480,160,795,590,335,579,
815,620,649,736,189,220,933,162,356,058,511,586,526,776,310,574,153,515,038,
938,989,703,835,566,220,005,334,214,585,223,358,896,145,661,457,666,974,624,
671,652,732,390,538,172,650,113,458,363,893,767,515,592,703,687,452,025,839,
905,049,504,746,274,615,051,026,700,105,081,870,921,273,117,258,847,519,801,
413,993,488,578,228,477,202,753,903,012,749,907,053,045,986,698,565,458,944,
469,836,628,028,542,204,766,203,255,148,535,906,160,199,789,703,763,176,536,
176,077,660,000,971,881,298,192,395,376,521,090,427,158,173,268,853,776,817,
775,884,449,801,818,266,352,320,512,833,785,094,383,942,671,693,709,152,589,
652,176,789,165,495,737,191,274,519,771,695,958,821,132,825,149,252,733,726,
100,063,614,031,710,031,189,588,952,126,953,281,208,495,152,665,017,985,147,
627,911,199,002,631,429,042,474,623,585,356,469,179,933,533,996,072,957,555,
045,125,270,460,887,472,767,334,453,454,482,808,885,469,200,491,607,882,520,
305,683,621,472,038,329,231,229,199,793,934,907,710,016,912,215,330,467,247,
062,254,428,635,406,574,521,242,259,714,403,735,754,241,321,975,123,859,931,
480,704,824,239,907,355,003,796,427,882,817,938,838,264,332,953,330,734,310,
849,620,793,137,076,435,116,571,940,513,781,667,883,776,905,073,310,020,043,
011,187,141,134,714,535,367,302,690,697,162,684,957,326,123,022,959,540,386,
236,448,622,419,244,168,364,702,597,586,984,332,484,367,547,773,892,448,502,
539,579,903,778,428,903,672,942,955,403,660,221,516,723,824,438,474,793,354,
961,833,990,366,943,280,700,512,734,630,763,650,258,582,278,880,318,220,930,
419,061,978,808,662,884,408,524,280,655,777,659,656,928,577,023,640,386,489,
161,998,450,390,491,553,703,779,380,874,289,004,255,814,637,068,963,507,095,
962,044,982,038,774,441,951,942,100,949,014,551,974,367,816,161,570,258,016,
545,078,065,497,543,099,934,970,909,751,478,601,680,030,234,817,057,777,840,
356,229,637,062,280,309,927,714,852,832,096,827,638,498,428,684,826,804,926,
378,739,685,750,475,689,922,321,533,238,431,555,057,055,020,920,631,821,805,
290,698,365,098,104,977,018,412,471,731,666,558,444,911,571,820,620,209,437,
816,306,450,396,880,013,166,670,459,509,209,237,593,444,928,457,135,132,894,
779,078,537,017,484,541,071,989,755,475,412,219,979,833,940,782,059,665,316,
460,569,960,711,769,726,125,711,429,296,150,818,478,741,413,698,803,728,833,
966,130,607,334,492,491,525,126,045,303,706,625,320,598,094,784,033,458,211,
171,151,137,170,572,876,641,781,548,802,246,531,089,056,933,957,753,213,821,
415,859,574,877,091,066,235,507,659,657,911,333,021,627,019,725,699,273,591,
067,087,934,044,776,153,611,252,795,516,614,411,914,997,551,787,541,613,733,
238,286,625,624,841,464,238,099,758,100,145,036,637,356,575,298,975,981,412,
539,784,393,045,407,825,894,578,806,548,474,886,183,281,553,391,024,395,804,
129,596,345,378,787,572,868,825,456,537,925,654,214,319,657,805,581,968,209,
180,476,674,935,605,859,889,629,138,182,679,275,418,942,508,015,167,843,915,
907,914,813,110,856,760,633,110,145,142,962,450,279,913,638,229,189,515,983,
006,118,673,957,728,279,477,018,609,809,802,321,809,628,567,600,037,560,405,
040,630,212,259,403,742,409,540,439,668,517,594,563,268,431,762,970,510,386,
905,089,520,122,144,918,464,618,900,115,484,024,619,667,997,345,718,756,273,
359,429,408,515,590,145,896,224,246,006,476,338,303,992,697,986,447,181,979,
025,951,205,480,631,914,208,357,040,858,474,884,487,642,189,685,737,446,757,
437,150,445,087,398,513,985,642,823,979,053,384,461,696,316,919,119,519,893,
472,412,842,697,114,299,460,929,236,687,978,122,822,234,332,102,615,425,004,
240,822,574,900,003,165,973,642,566,171,253,533,521,809,029,911,141,751,427,
876,661,832,564,565,399,991,358,729,183,463,655,368,159,165,446,717,050,822,
949,900,945,128,627,991,653,889,655,076,572,525,261,494,753,804,921,947,705,
686,212,827,385,679,533,978,021,493,709,363,229,646,773,227,492,769,785,803,
081,116,428,301,339,530,119,180,886,851,013,808,138,498,536,797,316,769,682,
560,193,327,827,127,918,993,884,442,625,352,827,525,526,201,246,485,943,054,
471,458,225,619,797,467,950,101,826,176,501,757,091,497,692,199,751,223,883,
786,084,418,719,963,025,463,106,284,247,078,703,912,957,474,874,812,958,008,
183,330,441,423,788,361,025,152,785,703,869,977,521,622,105,134,333,019,534,
134,361,966,199,967,899,204,007,643,116,172,476,163,616,401,197,730,469,974,
850,236,681,108,523,390,126,496,384,723,734,508,210,550,811,621,310,360,007,
555,191,417,561,009,174,163,863,926,577,556,359,427,145,582,570,674,711,506,
426,038,577,963,234,761,953,443,506,481,897,569,215,093,621,337,274,555,128,
285,577,703,166,409,292,958,247,067,385,881,493,082,789,835,575,028,129,720,
534,958,380,458,682,116,078,750,249,604,234,829,665,128,400,496,448,651,064,
602,601,757,945,222,886,643,961,471,049,369,897,068,810,212,681,063,603,497,
990,875,726,372,713,388,316,217,813,666,683,033,824,528,399,780,534,288,264,
686,293,462,208,980,045,957,891,332,161,330,486,672,898,943,928,461,130,170,
304,631,233,193,635,944,802,663,871,364,586,337,578,596,470,863,575,089,381,
152,800,552,028,023,197,665,146,828,107,896,141,946,970,044,618,993,490,073,
647,909,035,371,003,742,094,325,263,323,330,510,374,650,184,211,971,663,593,
396,919,553,974,363,496,710,923,402,132,065,083,345,701,068,526,596,441,382,
278,093,828,464,073,366,523,187,662,916,119,816,305,135,975,371,632,831,224,
200,614,869,947,190,016,834,761,267,373,608,272,615,852,585,972,498,974,785,
745,895,570,438,896,032,816,794,191,807,090,007,864,801,657,302,604,460,557,
820,874,039,342,512,564,618,129,746,197,897,679,420,540,097,063,313,488,668,
784,312,031,622,473,854,801,766,419,773,615,586,667,564,129,932,439,881,525,
437,332,895,737,212,097,815,883,244,100,435,646,805,548,427,502,029,712,377,
682,340,166,098,120,729,378,430,414,103,202,803,151,457,310,079,372,124,024,
850,442,309,102,323,961,601,018,788,411,452,109,440,222,401,650,701,707,213,
759,532,001,373,778,543,895,925,970,948,049,765,215,096,076,007,665,109,180,
820,064,233,279,928,001,873,009,407,611,936,376,279,480,681,594,816,797,776,
094,143,416,289,739,357,356,304,818,066,496,091,460,257,627,316,963,315,685,
213,690,665,356,089,942,771,148,515,233,082,182,240,007,708,085,510,031,906,
360,052,234,619,542,488,912,770,277,901,375,725,044,514,778,823,021,931,965,
928,886,308,840,864,567,036,724,491,873,112,362,118,195,074,066,522,821,999,
902,622,775,004,340,960,782,778,455,651,962,979,901,670,218,530,313,558,878,
835,251,728,340,445,811,684,310,562,345,906,522,613,114,644,487,708,116,779,
075,886,899,652,563,916,090,029,653,865,720,468,824,861,557,640,309,765,077,
586,152,024,418,440,891,277,356,720,188,308,942,264,292,564,472,901,711,934,
150,917,845,798,117,519,578,612,947,966,085,906,834,776,095,416,480,128,009,
196,007,386,294,050,273,114,147,143,206,375,566,208,094,256,725,221,563,209,
283,702,040,432,026,782,506,355,659,658,897,578,485,597,699,224,216,540,345,
234,637,545,296,193,903,093,008,711,955,357,610,299,552,736,077,395,682,853,
451,028,670,832,864,350,960,606,125,068,455,619,432,093,935,017,114,706,638,
385,292,113,343,489,344,113,199,170,536,424,414,871,306,026,819,154,226,147,
368,669,454,611,752,210,019,323,017,510,695,707,921,931,636,091,795,439,392,
328,798,103,232,630,225,809,015,123,659,976,521,455,167,459,183,885,742,290,
610,426,260,119,814,744,473,580,716,595,923,545,184,014,735,798,582,017,545,
735,228,056,903,079,668,820,039,397,400,098,681,268,046,316,309,201,214,984,
761,766,360,113,472,850,686,506,809,384,533,299,165,046,208,476,040,327,050,
965,683,836,378,318,884,023,097,751,700,186,180,167,855,208,506,661,339,426,
233,659,566,801,908,300,796,815,679,390,675,670,658,472,600,976,411,665,408,
710,102,178,496,868,860,362,722,377,325,420,195,947,965,033,030,447,549,489,
670,956,326,966,456,386,092,936,487,203,674,916,783,966,211,939,776,546,531,
638,693,229,532,187,785,785,854,325,608,307,955,000,976,650,031,869,749,103,
066,158,211,415,602,541,285,722,864,692,872,926,494,052,038,312,040,232,115,
949,836,571,255,732,649,660,159,262,188,096,535,153,640,049,399,259,597,179,
734,103,056,397,978,601,061,141,477,178,550,907,130,864,751,148,710,321,852,
666,322,456,937,274,746,434,247,012,573,047,444,691,027,923,967,617,208,645,
437,604,369,850,583,732,885,632,834,852,426,853,611,301,837,151,678,581,123,
877,656,940,370,976,523,065,148,610,752,953,031,304,666,943,201,504,030,024,
923,611,769,945,212,580,311,694,832,543,423,110,545,402,600,451,652,385,192,
349,003,112,907,842,166,172,013,027,607,031,908,315,801,364,137,781,141,913,
085,582,485,023,310,099,168,034,145,897,952,377,087,527,112,820,773,477,089,
034,504,224,942,728,035,569,464,971,152,478,367,589,479,280,877,029,895,777,
954,722,521,714,199,547,938,405,485,553,056,414,478,496,321,628,956,837,941,
455,117,897,084,415,772,769,316,971,438,753,757,554,557,679,861,392,979,451,
925,300,122,703,724,644,392,175,735,165,471,972,432,757,194,970,658,432,659,
163,480,987,320,147,253,856,238,144,953,048,770,394,427,787,263,694,802,966,
257,257,323,683,141,344,742,190,227,870,790,065,234,899,171,672,004,932,950,
042,054,130,530,873,527,060,094,771,400,621,126,297,176,071,430,789,885,719,
814,303,045,332,720,193,096,697,487,472,241,239,408,782,744,123,462,259,041,
722,827,608,982,815,441,374,957,620,766,402,769,320,243,860,381,195,410,020,
514,888,568,776,730,921,252,970,926,320,440,257,937,535,592,364,942,992,654,
242,792,589,211,216,355,129,780,903,811,551,526,152,166,994,687,496,948,612,
912,042,994,186,200,487,875,787,629,661,822,257,529,428,861,165,293,237,264,
583,533,465,736,558,314,051,551,027,678,168,044,582,589,049,982,510,475,498,
417,744,323,141,796,557,431,395,407,878,371,281,590,850,685,334,734,739,516,
082,001,544,443,793,914,805,456,938,310,845,512,514,962,346,612,417,045,840,
062,607,549,567,840,258,543,231,450,354,892,501,454,989,078,955,850,508,710,
395,272,450,665,511,275,887,200,386,079,477,607,938,053,830,797,727,050,830,
529,606,982,131,171,105,106,695,169,729,539,952,154,811,955,352,547,028,498,
925,032,711,906,640,865,277,697,580,288,958,111,588,976,779,244,940,708,877,
519,864,195,040,752,152,343,156,026,052,759,125,970,552,835,159,605,497,415,
120,591,606,381,173,187,802,622,470,925,118,465,022,416,983,741,030,682,070,
695,250,501,590,391,948,442,574,259,177,380,150,921,755,624,566,054,135,131,
548,867,279,292,988,619,978,247,689,479,068,482,558,452,861,220,637,842,519,
805,879,102,352,637,192,837,275,740,289,965,308,994,693,158,612,881,808,243,
344,227,653,640,685,725,106,279,582,441,903,259,086,077,667,690,297,732,097,
229,077,379,406,474,724,435,639,909,376,391,502,632,984,501,636,143,401,619,
785,514,329,717,624,821,345,109,838,748,578,710,711,790,330,212,451,654,892,
656,727,377,666,312,127,169,793,767,145,097,243,377,388,736,245,926,794,208,
784,790,786,994,762,143,165,867,987,698,366,566,490,641,969,593,688,266,269,
291,329,472,928,187,493,738,777,631,699,356,794,482,254,468,628,668,915,773,
145,292,289,062,323,479,734,745,324,368,768,229,278,051,089,595,805,583,658,
677,538,632,467,339,910,492,934,788,357,264,069,487,354,819,506,211,097,915,
504,080,049,119,842,041,559,182,615,462,743,741,901,070,835,655,187,364,810,
875,108,677,358,960,633,719,995,591,910,513,351,196,478,706,465,308,753,480,
165,275,751,860,108,950,137,633,693,754,858,046,879,886,052,371,327,310,659,
497,852,386,814,128,964,521,692,374,677,749,371,607,124,668,579,731,744,567,
740,001,012,198,384,558,057,499,468,784,596,368,539,189,513,814,263,267,827,
872,207,402,495,269,491,245,054,891,196,993,808,951,245,753,556,831,300,138,
575,975,200,377,239,887,781,451,945,984,234,497,810,477,652,480,479,932,562,
067,924,597,846,743,941,231,153,030,460,268,501,127,541,015,309,790,461,977,
220,426,029,975,855,651,424,223,352,823,733,907,136,521,226,477,300,014,923,
142,843,502,410,139,327,623,462,318,844,622,009,014,489,139,767,033,333,090,
865,109,735,397,512,101,576,092,220,103,091,433,904,369,481,167,282,560,892,
292,019,348,888,581,648,111,972,553,826,227,887,614,407,290,917,188,068,957,
388,482,563,886,663,947,484,329,699,916,831,230,612,182,409,888,016,873,812,
041,949,696,422,846,999,518,099,093,953,697,358,772,817,837,759,701,547,389,
463,400,800,974,008,663,314,534,197,310,336,043,409,262,161,893,724,205,355,
053,110,187,992,108,366,822,781,682,737,556,700,648,798,293,917,021,737,885,
592,134,054,270,751,574,999,943,877,751,246,284,131,388,711,416,844,965,246,
059,943,032,160,424,212,286,702,361,652,223,135,954,925,340,621,799,758,181,
819,923,048,834,623,920,146,722,195,433,204,339,340,852,534,348,467,473,402,
012,299,203,184,331,515,034,043,948,885,128,597,081,025,861,304,774,216,103,
491,983,292,756,074,844,328,103,890,966,042,768,451,355,661,112,486,053,706,
755,787,321,991,532,907,726,332,758,420,379,916,364,668,287,449,590,995,571,
105,748,866,134,355,706,547,504,039,598,225,859,816,737,786,533,895,882,829,
748,979,146,370,176,340,075,935,217,799,203,635,320,996,140,561,522,794,993,
651,077,321,269,835,088,871,351,582,038,376,146,181,456,888,467,591,244,301,
135,499,224,518,624,653,249,167,689,901,948,893,366,771,921,144,819,267,340,
271,580,387,039,962,293,858,147,808,080,793,317,980,670,179,608,797,088,038,
840,218,988,742,940,278,076,720,267,654,068,190,224,310,467,529,450,628,444,
747,058,645,508,525,129,686,716,449,951,116,619,514,105,512,464,226,482,977,
709,799,737,623,653,450,059,042,485,824,902,309,939,374,809,932,178,258,672,
673,494,660,891,343,217,508,596,326,367,905,617,064,852,536,946,701,176,840,
522,057,697,349,355,478,901,425,524,742,736,582,035,178,415,727,049,299,308,
969,704,311,852,420,630,053,719,480,031,031,124,507,031,352,268,332,392,118,
703,879,673,214,029,800,760,194,059,899,622,403,990,279,065,210,543,447,930,
261,367,410,290,328,463,417,516,276,748,734,746,189,011,820,377,826,704,114,
205,800,367,007,061,487,247,834,083,750,495,761,013,813,022,055,952,414,766,
904,971,279,069,119,336,976,603,066,994,917,166,167,535,439,745,872,694,572,
358,412,467,449,894,722,989,477,801,653,037,998,619,660,210,295,063,840,752,
678,713,538,498,971,448,298,524,240,393,608,980,804,710,976,184,031,533,012,
618,485,002,702,800,809,697,720,542,135,881,441,367,572,847,876,854,593,418,
302,417,046,372,458,330,979,623,159,928,387,178,780,740,041,869,013,332,780,
661,386,146,864,619,342,605,171,208,004,601,882,019,565,446,808,725,551,268,
512,354,195,946,944,926,658,381,749,581,762,057,268,671,325,128,300,959,116,
527,199,498,657,294,772,843,534,159,737,625,171,321,273,325,578,290,585,232,
754,284,284,351,929,090,949,344,641,101,608,980,579,664,456,938,988,480,351,
731,400,133,876,846,863,476,878,690,729,974,199,616,390,708,800,429,526,279,
747,239,952,667,486,002,930,459,331,039,202,806,594,477,870,776,452,350,074,
435,512,278,239,820,807,589,298,096,769,839,545,944,007,427,978,407,799,412,
217,975,482,071,522,265,686,020,277,068,449,323,691,569,391,704,754,366,673,
986,831,741,827,949,497,342,604,697,616,244,128,236,803,364,332,026,284,079,
786,503,798,382,375,016,084,932,302,876,248,163,991,452,151,780,626,803,283,
326,523,617,357,452,134,583,303,715,199,392,820,850,524,026,531,323,348,106,
773,932,973,820,378,238,083,756,716,886,307,102,506,306,820,272,203,912,917,
328,036,520,112,125,968,961,545,456,448,191,417,729,019,566,524,317,832,846,
926,760,118,115,887,442,333,884,141,144,915,764,825,407,809,907,315,081,151,
711,599,926,884,046,761,897,936,196,997,233,843,886,157,015,265,357,060,373,
353,183,943,886,456,541,090,628,687,104,780,463,366,933,111,795,846,602,021,
350,636,363,346,191,114,762,844,648,618,325,753,549,755,838,131,725,504,529,
064,159,676,135,048,035,538,954,307,342,217,221,218,912,838,442,374,452,058,
094,586,724,317,320,229,971,936,017,787,783,035,411,562,127,753,669,058,466,
578,141,057,543,367,060,028,876,500,637,776,886,647,806,529,500,111,133,915,
402,696,471,529,969,601,420,955,864,050,776,812,602,358,388,038,312,855,189,
386,976,288,320,214,479,871,812,369,521,659,886,811,957,821,915,133,455,755,
925,706,450,535,518,112,480,577,844,925,283,773,014,856,693,128,115,595,499,
494,656,290,006,567,916,087,817,875,846,484,956,992,182,416,034,048,704,719,
514,007,699,637,562,365,403,546,809,855,946,158,819,408,985,884,161,288,659,
128,581,258,323,378,130,167,282,219,313,712,142,940,264,020,114,754,522,707,
921,166,867,710,110,180,761,522,083,135,904,936,834,237,109,178,235,796,160,
778,027,722,327,207,727,998,246,314,569,324,657,595,664,654,074,763,590,549,
446,217,091,878,565,249,714,323,049,114,937,869,726,748,489,915,442,763,602,
754,664,550,454,515,444,797,628,605,256,643,018,182,717,011,174,550,554,979,
552,936,933,623,309,561,395,946,893,794,011,286,483,721,969,943,065,460,393,
170,660,724,898,875,857,305,027,967,129,101,526,512,190,171,923,747,873,803,
869,904,133,168,505,247,273,757,340,189,976,137,658,835,988,644,604,914,324,
027,932,128,693,044,444,946,992,712,689,729,349,965,265,225,836,032,898,806,
424,882,645,689,105,491,568,015,417,729,412,110,301,346,065,969,842,018,174,
779,083,526,111,460,354,872,157,189,675,576,690,086,905,507,392,442,897,630,
158,048,914,053,237,844,352,059,777,715,219,842,792,485,439,633,207,623,670,
438,410,678,131,778,463,182,299,936,015,529,677,612,233,292,185,720,936,671,
652,328,250,451,895,993,008,505,082,982,098,682,992,409,266,260,731,946,075,
785,377,398,060,908,369,237,627,901,675,327,905,734,382,338,827,117,979,576,
329,788,070,866,868,713,712,129,168,818,955,132,247,014,846,770,407,754,844,
417,316,232,833,363,506,178,093,692,200,882,754,689,262,097,358,205,678,603,
545,659,370,270,540,575,457,665,941,632,703,762,308,035,772,662,573,945,211,
675,939,987,587,105,378,073,464,767,631,185,595,863,217,959,608,649,372,184,
205,259,510,555,641,423,717,744,506,990,147,161,607,839,503,498,810,090,223,
861,551,780,671,832,198,589,957,781,200,812,122,416,394,014,929,160,485,433,
315,000,692,496,522,355,243,606,945,783,094,505,934,012,058,980,308,213,133,
927,775,730,881,729,144,406,937,193,429,290,833,437,273,485,738,303,590,394,
897,372,686,481,244,883,732,669,504,597,622,034,384,709,663,765,284,597,799,
335,878,493,064,455,512,486,750,799,480,157,029,554,779,513,934,664,707,876,
213,528,474,472,768,462,386,102,921,779,345,031,980,704,792,669,899,960,920,
496,444,842,871,578,792,859,764,780,732,307,415,903,938,242,812,105,955,981,
771,350,920,695,957,593,814,067,894,175,640,297,955,622,660,973,768,552,179,
854,784,714,540,666,848,189,101,894,006,087,723,600,150,425,614,273,000,617,
671,763,461,722,013,912,282,188,569,713,631,745,578,117,257,529,618,962,156,
360,561,695,123,877,514,217,003,075,185,389,624,971,630,948,704,069,511,302,
289,561,023,577,052,444,771,176,367,737,401,290,184,730,264,242,201,932,908,
148,549,195,641,200,117,861,370,062,735,141,047,237,721,825,367,072,017,311,
659,840,354,342,475,623,206,322,445,442,421,436,447,816,600,019,796,087,152,
729,676,710,196,141,390,905,296,145,987,681,170,976,871,662,697,695,788,265,
294,837,898,170,198,750,319,928,259,932,692,553,787,634,955,063,501,015,880,
319,812,838,341,269,230,292,856,253,302,596,278,446,925,200,701,509,285,475,
504,653,764,542,335,315,743,362,254,653,523,638,464,769,627,009,922,518,413,
990,740,995,727,678,248,772,897,683,447,378,288,598,322,441,499,057,960,688,
669,928,727,525,871,753,598,595,316,452,292,966,953,735,427,840,964,523,003,
189,510,043,926,586,656,361,323,484,977,876,598,354,696,689,890,964,371,445,
595,188,719,552,370,714,501,458,477,913,778,107,878,308,701,903,542,177,064,
187,916,662,145,471,958,247,210,035,152,761,003,428,442,968,761,519,070,555,
669,098,286,095,666,764,661,780,185,887,225,947,756,248,950,605,962,518,094,
873,826,372,756,997,234,182,994,990,604,660,595,997,476,596,044,015,698,664,
788,326,280,806,413,601,215,007,145,214,451,496,465,918,305,656,407,605,915,
798,407,352,737,390,825,041,572,038,126,422,743,798,407,884,806,617,446,147,
036,809,417,363,440,555,243,258,654,748,753,962,330,482,922,166,007,273,465,
929,233,928,018,287,070,963,568,221,284,834,285,332,576,902,886,769,274,819,
049,474,238,509,443,874,634,472,226,837,636,172,093,818,391,783,505,736,693,
750,555,576,172,352,493,231,338,487,653,056,084,395,708,458,464,110,157,205,
721,290,129,414,161,546,219,961,916,448,649,646,099,447,192,702,081,442,221,
277,409,948,309,924,700,998,760,621,951,313,199,378,825,522,347,534,804,512,
496,358,023,743,128,222,259,476,318,535,356,773,443,287,406,075,602,446,226,
741,825,061,886,324,162,182,393,430,582,762,495,217,873,297,907,120,681,206,
602,394,135,811,388,061,782,983,530,839,615,163,292,485,902,754,769,472,780,
465,954,238,330,588,641,759,052,274,589,943,506,940,013,752,684,792,424,533,
417,470,017,699,695,010,918,993,456,896,383,999,707,733,616,065,800,131,746,
501,395,624,487,629,824,253,437,216,097,199,913,855,694,117,623,660,161,507,
043,924,426,969,162,686,549,817,689,791,756,353,820,600,007,777,129,753,448,
615,468,103,033,680,989,842,872,963,025,548,259,196,752,342,102,735,905,599,
600,799,386,863,113,347,449,170,588,976,202,353,148,024,471,672,189,780,093,
702,282,314,621,424,507,366,230,741,164,463,663,794,003,634,737,143,661,509,
730,216,845,365,826,943,126,525,847,523,845,103,873,149,675,866,717,780,560,
477,126,941,664,215,827,109,339,026,707,353,101,999,824,677,851,289,702,645,
737,049,350,142,907,841,054,249,920,516,418,203,704,677,026,733,944,495,175,
980,026,636,088,754,213,058,305,610,682,541,402,338,949,858,732,296,426,475,
531,685,369,921,695,019,490,529,867,461,636,670,702,143,603,501,627,401,411,
864,809,306,329,800,615,026,883,253,980,163,620,293,186,549,771,365,805,644,
632,814,491,209,961,164,870,486,976,747,411,395,783,526,711,464,439,423,186,
939,876,813,198,049,673,212,113,805,321,313,840,516,725,197,740,759,582,053,
811,736,470,056,089,319,543,203,226,683,136,476,311,997,977,268,949,918,551,
594,034,689,289,903,385,808,325,499,063,819,904,838,444,660,983,208,808,112,
923,623,474,737,985,127,399,467,659,687,458,157,127,473,802,490,323,091,556,
557,301,796,065,842,650,841,855,458,660,056,152,520,638,360,387,875,005,005,
470,967,513,314,691,798,911,272,561,569,946,036,323,342,723,692,509,245,822,
372,833,169,312,466,851,231,207,721,037,945,242,990,242,864,216,133,564,716,
145,820,043,967,394,280,488,854,879,473,915,756,553,746,073,632,757,149,835,
945,191,630,089,210,233,192,138,661,531,977,834,444,690,884,049,422,485,579,
743,469,800,794,045,136,679,263,060,101,966,261,846,209,026,665,494,337,697,
300,928,326,114,659,962,884,451,550,029,252,516,322,140,721,314,804,943,628,
719,488,602,095,089,937,144,749,105,087,418,315,469,984,302,256,118,140,118,
492,740,632,165,620,244,992,805,459,627,496,774,234,873,198,973,463,777,108,
968,750,051,290,956,624,957,312,468,598,383,731,766,530,825,870,905,824,764,
401,826,044,125,764,555,063,579,735,034,400,189,212,180,924,338,268,971,773,
756,278,902,979,532,198,088,926,361,722,042,686,501,057,558,457,052,688,314,
758,590,318,482,301,834,574,493,255,252,762,514,829,413,346,744,852,531,886,
453,156,340,115,523,627,378,413,699,472,210,663,421,159,399,656,203,212,548,
299,451,053,946,810,362,265,913,844,190,338,597,476,606,377,855,554,329,347,
524,543,159,753,289,747,290,545,090,450,781,800,383,104,404,217,249,856,939,
410,501,112,914,596,478,605,141,608,654,595,512,644,400,852,449,725,664,261,
424,605,966,049,094,116,411,813,440,978,780,197,020,613,520,729,544,004,510,
493,378,868,407,797,254,587,131,423,039,419,382,208,286,923,615,481,246,113,
431,595,166,291,396,261,274,409,931,549,094,096,790,715,677,734,323,515,621,
428,036,079,381,736,775,697,868,511,761,264,512,456,500,086,041,942,423,429,
341,267,137,837,990,900,676,599,940,473,562,553,864,384,027,841,739,378,532,
211,259,576,054,567,438,972,899,485,052,312,592,207,859,610,199,464,309,773,
533,343,423,107,581,567,327,386,504,528,583,004,378,131,900,162,494,062,334,
737,429,158,152,186,147,039,794,092,793,953,950,474,122,505,263,965,544,714,
071,528,354,559,565,050,536,223,862,245,373,007,613,372,684,976,571,994,942,
286,697,490,936,308,800,958,615,560,249,091,608,646,173,986,203,493,419,575,
647,257,419,354,463,727,134,404,958,109,531,326,554,622,659,079,278,672,928,
230,872,483,104,064,809,277,412,360,745,086,729,845,803,088,965,528,341,991,
299,114,665,912,554,044,914,206,810,481,596,468,079,607,793,870,879,169,339,
776,547,623,038,181,759,572,079,790,717,182,884,667,345,796,481,596,420,752,
371,456,852,543,619,331,521,162,064,218,004,868,113,706,419,211,053,840,270,
406,636,522,621,948,714,803,239,183,156,684,353,198,846,872,678,068,769,967,
561,511,267,143,206,090,277,494,471,550,096,975,206,808,540,663,131,665,761,
955,016,855,703,812,142,415,624,988,195,950,650,175,386,198,878,388,938,393,
172,948,799,538,490,313,401,900,214,022,961,528,411,331,138,910,415,406,660,
828,369,965,278,989,066,126,574,879,621,071,600,339,232,215,828,940,607,142,
103,634,265,186,670,297,844,166,399,755,377,504,443,177,421,692,981,341,126,
368,801,086,508,631,420,520,452,927,221,066,084,747,648,937,447,965,106,603,
198,243,665,494,386,488,739,751,694,772,296,887,914,709,178,482,517,634,130,
213,570,800,856,899,978,296,183,608,324,393,546,422,910,763,881,728,007,196,
700,399,314,022,791,081,012,850,740,497,710,747,442,578,981,205,622,259,664,
610,446,475,012,592,772,825,136,486,695,520,978,560,738,922,889,359,940,990,
540,246,817,898,143,999,540,713,741,888,446,866,244,702,268,205,378,096,106,
533,246,999,332,940,696,958,992,439,068,880,360,410,413,450,012,751,343,942,
290,972,093,251,140,171,200,240,421,043,130,439,517,585,586,933,670,578,567,
746,452,407,669,812,668,902,518,998,191,574,523,294,216,518,514,242,338,817,
823,535,979,715,836,766,801,475,140,006,906,227,707,289,178,932,463,272,069,
565,714,304,192,997,387,397,447,097,086,878,657,408,210,646,789,704,367,934,
606,001,575,813,660,337,663,107,093,014,914,671,758,710,221,689,971,905,212,
034,406,002,928,659,295,633,477,567,042,269,990,457,136,608,555,400,929,670,
994,159,459,666,849,040,220,508,893,334,638,374,688,061,358,478,622,081,388,
508,794,793,732,919,702,434,972,437,715,589,350,367,936,117,012,735,616,286,
605,777,464,608,258,237,909,325,910,958,610,665,575,792,872,322,963,240,631,
176,053,188,807,361,906,905,973,879,889,135,944,949,982,293,839,774,692,859,
056,276,641,719,153,219,327,404,709,222,602,770,124,197,649,871,624,619,538,
843,738,056,129,051,375,107,255,654,986,031,872,964,790,241,014,371,388,410,
226,271,892,761,711,280,455,272,480,663,725,606,764,489,011,691,576,136,789,
031,542,845,855,693,762,168,284,016,861,048,937,249,600,397,534,623,188,825,
289,847,960,472,812,911,481,355,810,720,903,660,790,865,591,852,988,252,669,
205,978,145,718,384,480,989,333,575,041,752,791,751,263,858,478,185,023,948,
411,795,384,931,847,752,815,537,771,842,251,130,964,933,617,124,364,661,211,
746,902,960,498,448,069,142,011,508,044,850,420,363,638,036,899,438,805,261,
755,424,420,471,660,962,787,248,367,849,400,726,269,126,424,215,904,712,657,
940,311,653,811,874,906,003,301,223,922,087,738,411,140,602,479,715,998,181,
930,238,400,830,764,105,359,087,617,701,398,535,652,993,394,487,600,648,247,
233,168,122,106,702,750,153,499,299,317,678,690,995,742,509,612,088,678,750,
433,506,883,688,425,017,593,888,897,971,708,979,507,740,181,377,936,691,877,
365,419,051,533,025,050,113,677,993,466,179,214,352,244,281,216,549,146,718,
303,924,686,940,597,600,438,209,411,255,625,785,121,134,209,684,183,364,520,
093,278,323,513,033,764,543,388,291,595,452,935,672,369,973,969,289,718,739,
344,719,276,374,214,288,875,802,180,549,722,999,717,637,014,576,035,613,326,
405,814,679,956,716,016,011,273,739,213,730,457,952,841,092,578,972,317,494,
571,286,795,794,774,366,193,145,514,764,094,810,834,470,322,800,842,134,752,
400,881,647,287,321,636,769,808,167,112,797,070,388,940,321,299,272,797,526,
709,366,309,747,100,252,275,094,727,437,514,358,619,006,799,209,304,280,660,
029,649,943,005,507,661,167,148,939,196,981,697,330,553,949,255,341,608,168,
299,882,634,723,402,091,285,310,373,428,597,648,751,809,576,994,132,000,019,
339,653,406,716,122,333,898,681,091,448,313,516,486,750,209,776,076,810,776,
344,522,596,932,922,485,133,214,598,287,974,263,852,714,129,164,971,420,936,
009,265,325,635,686,935,402,570,816,094,321,453,738,587,400,673,665,446,482,
151,789,344,269,951,252,171,790,792,619,672,930,478,654,945,106,690,253,094,
483,226,278,889,242,275,578,100,050,283,169,014,591,876,933,432,197,016,922,
864,915,136,172,310,221,027,488,446,903,461,241,391,863,628,236,783,218,563,
558,547,695,152,992,861,798,028,031,304,991,767,998,863,396,646,213,619,373,
163,579,349,492,998,833,642,018,252,820,425,485,132,450,478,338,338,761,419,
353,615,306,886,357,501,077,822,567,842,899,196,388,650,106,451,482,430,197,
464,909,490,818,108,746,478,061,568,062,528,541,268,320,838,157,583,931,072,
194,150,119,425,923,004,845,079,049,614,847,829,941,903,058,201,306,181,706,
955,804,115,779,136,942,063,339,554,055,084,898,405,298,609,871,570,250,109,
783,863,266,738,404,421,448,960,482,113,099,482,038,693,813,206,736,109,629,
341,962,407,688,528,916,740,450,449,159,953,340,920,441,326,101,057,995,387,
159,898,287,693,098,029,702,984,785,868,502,307,913,004,856,639,241,077,691,
933,859,094,562,330,006,712,352,033,250,797,062,774,394,533,516,329,761,822,
895,947,247,361,370,064,891,053,309,967,671,912,959,920,899,504,721,897,441,
435,278,484,254,541,516,779,320,811,501,800,012,078,535,413,091,598,949,969,
915,013,781,389,933,487,726,112,284,963,887,531,254,519,984,721,915,488,516,
301,952,280,894,100,228,372,384,777,281,504,117,139,666,850,244,376,190,275,
729,231,634,130,545,530,611,296,556,803,849,625,002,983,480,755,834,992,416,
909,256,820,792,721,941,390,907,523,839,690,487,987,026,264,327,111,265,386,
751,857,707,719,237,624,213,528,737,937,134,677,586,226,562,866,585,912,501,
493,379,009,114,091,484,258,617,351,556,738,254,815,839,242,335,541,831,113,
179,034,264,572,120,325,237,594,462,451,999,527,507,346,789,431,838,497,262,
048,392,552,006,675,138,524,089,128,343,930,782,369,029,077,178,106,984,549,
861,858,239,605,669,126,205,437,333,845,305,358,452,237,726,445,571,159,137,
464,508,469,825,095,663,463,656,211,870,282,930,996,749,996,419,713,682,750,
841,704,779,817,961,808,022,564,087,691,751,793,764,327,448,460,902,056,974,
357,222,256,661,040,308,601,426,539,826,930,612,037,500,065,201,016,426,364,
379,647,869,840,327,464,185,989,304,884,179,628,461,795,330,445,201,722,851,
298,497,055,547,661,935,919,759,547,948,400,208,042,997,628,830,674,605,095,
212,398,852,040,040,152,459,955,198,862,942,772,634,351,549,073,874,242,501,
766,964,322,818,174,819,646,147,895,717,353,515,356,273,386,522,585,311,444,
269,729,462,253,186,291,357,651,233,053,099,356,744,966,236,697,775,221,956,
846,786,879,818,506,476,642,815,749,387,259,107,156,829,189,945,127,968,628,
697,487,617,910,079,348,992,038,800,271,163,427,711,012,021,890,666,712,163,
536,972,095,809,414,305,838,710,115,515,941,820,221,023,416,402,759,351,505,
978,788,461,796,522,698,149,664,075,539,038,420,707,010,016,208,384,231,926,
318,681,909,895,699,804,539,161,432,436,859,176,214,966,779,436,564,012,645,
895,729,607,395,363,971,178,346,900,603,094,939,425,598,755,062,864,499,651,
057,144,490,333,333,646,598,465,807,782,539,862,397,784,376,633,775,511,513,
966,417,276,586,647,895,718,128,140,103,692,310,939,910,010,854,504,222,042,
470,577,020,561,914,133,336,377,475,191,128,526,797,724,564,660,695,603,049,
083,902,396,704,492,200,787,206,852,663,378,974,460,127,927,008,266,220,414,
474,476,330,929,475,556,603,211,230,767,399,028,513,664,326,572,795,560,607,
500,227,193,183,141,924,168,417,297,321,513,731,658,705,423,667,714,416,751,
896,854,974,966,906,173,959,372,085,179,725,099,654,437,224,060,492,670,944,
265,900,947,521,128,708,675,565,070,485,983,854,290,554,671,221,050,411,272,
385,011,200,429,781,593,591,880,701,410,748,192,999,557,044,417,306,541,883,
614,546,908,419,317,571,207,532,033,133,303,540,126,752,141,323,794,714,602,
760,792,968,842,244,821,450,770,068,161,583,112,823,768,726,808,391,823,869,
753,984,766,792,590,410,324,443,699,411,069,043,220,630,531,110,844,726,902,
320,998,061,964,232,161,531,178,914,057,393,843,804,918,550,252,200,853,634,
158,543,564,405,345,023,542,439,570,221,231,467,986,160,767,186,976,468,428,
709,159,160,565,001,898,961,385,203,622,230,398,423,828,911,011,401,891,549,
519,694,343,261,027,446,753,884,537,038,923,300,499,182,406,512,347,514,716,
768,681,697,123,538,174,509,247,067,702,440,024,493,030,926,591,293,139,971,
830,358,049,789,013,819,334,372,351,716,712,360,371,666,596,042,323,067,336,
075,446,487,686,649,173,780,212,908,191,048,466,071,430,041,863,520,561,530,
548,114,813,219,176,952,798,608,617,681,149,953,719,355,266,719,464,097,753,
619,469,368,355,658,284,153,768,298,165,123,907,583,815,369,509,283,889,938,
255,209,787,044,844,583,241,515,938,382,490,244,037,571,272,417,509,830,364,
262,662,035,324,478,262,540,809,062,703,647,050,998,733,776,240,984,681,322,
732,269,232,058,489,517,092,008,780,290,106,636,072,377,380,600,339,960,663,
586,434,924,455,988,982,050,698,196,485,578,405,999,529,916,421,323,704,145,
936,519,400,127,777,828,415,778,601,789,631,548,531,281,242,186,075,946,232,
923,986,980,283,662,241,974,442,453,506,968,741,981,226,325,988,594,833,578,
904,682,368,144,946,776,826,309,718,644,727,434,427,873,291,736,874,236,707,
182,924,494,988,383,939,386,908,735,231,946,785,623,179,653,362,539,963,146,
819,500,634,211,465,573,545,347,788,387,209,543,652,987,714,946,884,615,543,
363,893,511,125,431,261,025,348,291,406,172,747,517,344,357,792,613,585,137,
352,653,772,774,572,194,630,200,773,785,198,259,974,989,919,483,519,825,191,
821,001,231,995,251,023,248,518,255,116,127,563,518,999,674,041,547,817,624,
932,065,497,688,817,829,153,538,728,815,035,321,075,692,382,590,661,604,641,
439,438,517,602,632,279,224,928,505,245,631,747,579,957,565,700,272,480,760,
290,551,119,445,363,069,891,256,351,174,689,968,936,119,660,184,685,087,911,
794,901,601,821,834,229,032,751,352,611,915,174,357,728,442,028,222,559,224,
573,847,604,099,780,747,366,949,065,066,744,921,302,839,818,921,214,087,996,
303,760,272,597,443,814,142,324,989,061,737,770,610,444,549,922,356,454,006,
119,284,228,764,440,679,827,110,741,873,105,497,021,756,114,341,033,277,102,
405,227,843,852,262,335,150,539,031,958,456,817,394,658,794,404,343,234,472,
561,185,102,710,998,759,558,028,369,710,379,195,105,234,492,573,266,649,926,
223,398,224,731,415,209,258,327,198,480,778,613,563,818,916,605,504,231,154,
168,713,085,268,150,219,609,412,096,375,312,270,583,287,636,546,123,586,748,
568,827,453,435,315,788,803,924,836,088,640,990,721,018,236,543,934,764,077,
050,579,783,384,996,210,768,485,135,553,124,042,484,988,690,437,269,674,181,
087,005,280,536,862,518,655,103,139,375,935,627,540,966,844,111,938,926,379,
580,539,329,781,764,961,762,972,666,562,320,801,569,682,728,593,925,923,307,
877,153,438,522,540,053,391,872,745,225,171,210,109,765,583,595,441,327,009,
298,535,653,229,001,718,358,210,515,098,999,500,906,329,736,981,060,823,040,
976,336,792,799,660,123,205,231,274,660,648,462,289,422,619,600,141,551,139,
422,892,936,640,210,533,015,505,915,178,583,607,869,828,049,678,615,321,088,
970,550,788,249,310,480,183,703,190,360,835,710,623,430,014,754,391,899,983,
637,976,822,713,704,628,334,745,253,983,125,070,195,771,936,001,785,443,545,
305,207,547,513,347,792,886,532,040,492,218,257,709,814,267,857,816,554,512,
941,065,672,017,946,874,374,127,216,378,242,477,094,682,361,095,777,878,862,
843,307,452,967,729,052,003,447,101,867,994,701,009,593,573,645,289,801,908,
358,995,827,313,373,218,073,330,548,042,681,182,090,051,053,351,678,719,403,
368,496,500,277,264,092,108,332,332,578,575,580,765,021,711,123,887,611,645,
341,897,282,866,667,619,104,311,665,086,783,320,297,317,728,757,937,533,611,
646,586,410,039,111,781,476,434,784,943,751,922,352,093,331,226,701,622,711,
319,919,501,416,312,489,380,752,018,851,832,805,598,850,850,940,281,275,111,
548,650,470,086,985,786,168,492,685,142,391,606,631,857,292,498,917,929,228,
755,796,121,656,683,185,143,214,467,936,275,890,356,796,417,619,993,664,298,
600,541,047,822,201,820,039,692,694,589,169,596,115,127,268,072,014,683,402,
628,690,045,822,431,415,578,032,410,964,557,314,194,491,451,856,146,605,849,
399,059,372,720,192,681,496,834,536,399,072,533,307,407,875,872,215,913,744,
759,017,478,009,418,145,532,984,667,966,358,167,696,890,642,092,880,363,742,
023,084,999,626,285,754,636,060,224,995,639,655,229,487,526,212,847,455,262,
443,759,171,746,144,325,355,057,916,063,958,131,074,971,077,506,683,183,835,
705,488,606,291,562,973,749,377,326,300,877,694,733,476,788,387,430,037,787,
000,093,318,019,597,492,586,508,715,632,597,092,636,506,380,542,027,796,012,
406,149,320,229,754,756,958,096,497,735,057,697,730,922,256,235,682,667,306,
623,850,896,412,665,609,004,266,103,849,369,209,072,569,913,386,313,192,144,
363,854,666,306,536,063,123,942,513,872,691,085,746,739,855,278,999,713,664,
361,518,304,667,989,515,288,442,375,063,984,637,353,754,028,079,526,354,997,
399,544,341,745,555,780,883,794,596,762,381,687,074,029,463,294,901,494,291,
730,464,618,241,061,916,735,331,795,828,253,118,794,965,759,303,594,830,860,
402,607,013,535,227,349,348,850,731,443,388,906,473,988,214,826,509,864,215,
663,076,913,460,418,660,156,697,052,286,840,935,825,427,503,925,319,404,507,
139,272,128,532,887,005,987,765,531,319,997,241,986,296,514,078,481,230,505,
495,175,190,514,508,654,710,025,453,372,502,275,047,907,797,835,648,192,560,
643,375,983,545,610,953,195,492,103,079,523,656,572,146,847,218,229,436,018,
092,714,622,978,827,841,933,247,363,872,523,388,070,068,003,785,530,776,132,
544,392,256,939,542,001,724,856,590,361,529,266,280,333,067,842,648,639,065,
441,930,633,641,182,627,347,231,497,667,869,729,441,081,367,316,400,347,353,
799,022,409,247,445,748,724,114,052,500,438,848,215,255,363,178,472,973,549,
180,181,559,018,452,028,587,060,079,602,517,661,667,060,409,814,829,974,556,
157,400,263,731,291,826,385,231,419,512,506,520,869,615,544,630,639,048,037,
100,477,088,967,249,231,354,579,453,383,306,133,385,309,757,066,754,639,569,
218,119,981,090,521,896,606,101,230,771,441,058,894,886,969,509,662,628,287,
118,989,668,431,469,495,712,822,875,700,222,427,265,800,938,765,969,785,643,
623,033,059,347,715,605,270,487,052,653,903,465,796,348,622,951,225,585,694,
325,850,112,847,972,472,653,562,838,077,515,777,474,299,181,766,536,618,493,
329,414,991,671,637,204,132,757,222,200,823,384,418,724,857,818,847,780,791,
430,997,284,795,645,637,427,754,101,123,904,280,951,725,068,349,427,531,348,
972,171,540,422,168,492,357,042,232,935,183,100,000,900,628,352,693,057,414,
232,996,618,597,945,537,359,458,059,237,190,319,039,061,046,578,082,032,830,
941,843,405,554,418,016,408,928,413,816,585,143,291,100,623,630,398,773,115,
837,988,709,264,828,369,360,040,596,974,224,205,626,564,283,757,296,399,484,
243,604,755,281,466,152,137,686,815,545,946,590,095,683,594,546,788,316,554,
434,231,131,131,870,303,602,504,567,245,884,847,601,388,772,436,936,741,969,
655,913,292,529,410,402,189,330,728,681,347,012,212,309,454,891,412,860,512,
827,238,462,179,108,314,653,125,005,377,669,453,163,889,336,190,709,143,291,
853,799,034,963,920,216,653,876,312,801,417,149,228,209,324,846,110,930,529,
490,989,596,261,844,380,357,219,623,175,810,527,082,306,722,112,667,308,375,
037,655,083,508,770,094,078,367,811,277,539,832,763,268,838,108,355,630,164,
940,826,685,902,553,125,683,431,693,524,529,796,086,997,724,846,062,156,335,
498,472,525,188,078,935,314,147,521,780,028,932,583,985,426,625,640,395,480,
409,810,545,741,193,033,771,538,440,984,034,726,536,315,456,266,047,632,810,
148,223,094,088,812,618,062,741,536,246,998,016,737,785,526,198,069,492,444,
670,832,600,094,506,392,562,777,375,075,934,482,862,445,980,563,638,632,164,
967,594,531,985,566,867,267,247,817,062,907,678,923,643,706,347,209,013,655,
750,872,603,270,760,499,564,042,005,153,876,587,970,111,586,213,736,921,262,
523,363,862,842,231,647,272,100,727,905,327,870,776,271,942,540,289,882,262,
318,397,163,740,961,986,363,577,904,406,455,888,216,081,192,672,488,809,716,
852,042,100,437,405,162,030,022,126,028,586,706,705,811,447,171,133,915,435,
166,284,786,966,253,861,922,204,682,095,363,060,070,503,100,642,098,810,671,
501,988,116,168,185,198,100,921,943,511,427,411,920,340,335,216,997,252,880,
080,996,894,140,345,835,224,671,341,674,718,066,599,894,556,087,120,588,879,
768,178,346,465,105,025,247,573,458,140,053,315,575,389,602,447,902,553,906,
098,381,864,496,351,442,244,025,236,689,596,826,102,015,912,685,893,875,806,
740,427,731,630,484,701,663,779,002,527,679,950,975,727,033,126,924,780,944,
789,614,825,598,920,827,382,326,046,731,721,543,039,091,274,083,703,649,123,
945,634,083,713,664,310,690,727,115,024,637,886,198,337,213,152,821,053,453,
337,128,374,320,080,987,266,161,717,803,477,794,986,146,932,097,886,235,413,
281,288,399,173,291,505,931,602,853,505,380,186,544,019,964,808,426,693,926,
596,966,903,031,737,189,975,450,806,810,585,898,298,241,772,764,041,724,305,
036,584,107,760,478,975,158,700,510,313,980,439,128,902,876,669,214,209,368,
837,868,867,919,606,002,385,255,389,080,858,308,865,763,766,378,230,224,619,
271,774,746,790,596,398,552,051,082,796,109,318,517,473,388,052,810,011,611,
599,751,935,077,160,303,606,572,989,808,792,375,438,371,809,489,151,674,476,
703,515,120,272,908,941,407,361,372,120,815,129,806,817,439,370,212,773,421,
670,526,437,378,171,827,175,125,402,698,036,229,478,624,076,020,588,371,532,
084,352,090,965,696,849,610,200,717,156,618,859,866,396,143,262,986,159,998,
751,778,676,772,037,688,018,193,891,829,388,933,380,749,945,182,468,505,371,
235,350,173,348,177,545,863,573,436,100,923,984,151,389,891,130,272,115,885,
750,646,133,548,766,060,074,492,142,410,790,402,516,898,537,077,686,684,209,
970,312,330,993,940,525,945,521,776,190,963,675,580,616,345,749,863,298,032,
393,873,108,438,725,218,768,108,205,976,598,770,563,070,545,338,073,364,319,
867,211,510,129,226,131,239,049,773,221,600,901,415,893,255,544,257,621,904,
060,249,859,845,510,294,951,036,450,385,228,897,375,172,569,767,653,977,176,
579,486,022,414,044,451,244,564,628,779,401,267,791,351,632,106,767,081,739,
177,625,195,237,541,844,212,399,995,044,010,825,883,122,895,474,429,255,382,
050,275,706,020,454,000,178,093,728,411,438,842,731,919,143,526,890,882,452,
269,521,714,097,184,850,648,718,079,579,628,666,770,311,032,297,648,589,569,
858,408,606,516,285,906,233,590,735,907,719,518,899,995,266,282,418,999,411,
870,467,315,924,147,649,672,968,809,997,472,381,489,508,002,792,278,847,704,
717,447,775,940,672,844,686,938,509,644,509,774,150,599,772,411,177,175,360,
938,920,102,563,567,858,123,806,480,126,348,895,643,275,737,169,282,076,223,
496,868,536,628,491,213,805,449,931,348,669,964,559,807,136,568,495,462,147,
867,086,876,429,060,903,987,912,035,772,137,416,431,587,138,473,651,827,281,
319,627,076,205,994,348,265,682,009,527,049,249,904,409,731,824,998,936,100,
365,070,887,561,826,088,115,153,362,998,682,511,689,795,580,705,140,961,441,
229,892,006,772,211,753,889,161,920,923,994,477,461,626,564,894,537,394,908,
103,460,952,154,690,262,790,550,273,037,890,106,187,591,267,548,013,684,206,
928,807,038,853,397,012,026,037,671,170,563,551,646,738,931,209,224,382,109,
543,542,522,789,522,656,799,849,417,086,360,316,525,792,286,714,782,227,681,
633,677,098,030,155,306,936,794,838,494,005,849,469,698,458,081,373,823,585,
155,183,280,126,214,391,141,116,381,896,518,877,314,510,698,993,157,622,780,
758,680,851,661,683,239,075,207,387,154,480,070,190,354,601,147,157,434,132,
416,646,548,381,887,157,507,596,412,568,379,089,691,874,575,092,926,648,467,
318,901,448,214,370,168,721,004,689,097,654,714,739,551,829,103,450,170,184,
473,426,141,936,533,816,009,718,840,078,170,621,189,680,865,098,901,596,151,
396,796,876,713,552,868,239,597,220,371,092,517,878,417,530,980,680,019,641,
580,759,290,792,468,903,090,781,356,739,333,034,744,476,551,934,863,938,302,
973,931,693,018,778,930,751,508,467,154,270,712,912,696,849,436,153,292,740,
410,514,958,189,595,213,923,530,831,163,366,301,955,984,237,522,379,197,757,
295,526,783,924,904,024,102,479,920,969,226,665,584,327,703,091,965,997,676,
624,534,154,506,959,446,629,475,254,308,530,995,259,346,157,789,776,541,053,
983,906,002,433,451,538,438,522,135,666,507,836,453,408,914,017,487,948,782,
173,627,826,222,660,183,573,821,416,072,797,311,178,948,462,588,166,725,500,
550,919,838,687,312,644,981,100,278,862,343,311,915,627,221,529,660,752,334,
628,650,843,965,880,570,276,844,308,164,565,894,264,162,893,459,651,957,543,
044,109,803,577,177,712,411,513,035,429,484,911,496,341,545,798,781,696,819,
889,644,181,819,257,977,533,603,033,698,256,284,001,650,996,603,395,418,699,
768,715,397,951,080,043,404,652,992,340,653,065,772,205,991,954,880,989,990,
619,554,071,560,242,943,265,293,939,843,032,667,033,946,960,787,255,699,689,
403,354,357,186,162,444,291,400,327,010,269,009,771,749,865,701,598,962,918,
530,265,563,509,245,826,049,166,976,438,875,228,547,072,471,595,616,476,926,
281,241,646,542,901,887,148,972,118,510,281,148,727,727,742,153,768,275,915,
905,263,037,158,119,935,244,517,456,778,711,294,195,576,846,337,548,282,028,
017,941,207,957,985,565,586,468,456,419,642,327,252,560,997,245,473,471,954,
274,724,939,332,279,610,069,498,999,249,969,699,604,748,422,031,560,954,551,
025,220,734,554,243,817,450,505,574,444,819,139,777,745,778,726,050,581,788,
458,983,982,651,673,502,620,768,425,844,996,434,876,021,662,151,759,175,123,
630,111,738,309,175,737,800,854,850,789,582,449,267,212,502,935,795,554,021,
459,919,212,563,596,444,328,913,862,220,742,093,532,939,998,886,039,167,269,
889,087,829,574,247,974,521,605,526,206,569,257,651,452,065,757,257,405,012,
820,396,311,270,929,576,111,079,838,881,639,851,405,139,326,806,594,347,564,
647,138,698,178,916,961,492,637,113,544,942,400,787,352,634,622,412,738,764,
569,635,245,073,909,212,674,950,184,455,358,559,270,138,713,630,281,031,967,
484,686,329,539,350,089,251,103,357,083,098,529,711,956,990,655,159,462,920,
174,389,952,262,151,242,858,322,942,906,576,851,014,492,314,382,362,585,734,
839,649,449,155,944,213,065,377,305,570,748,440,712,477,079,706,267,292,988,
726,693,390,235,096,857,112,232,289,428,802,088,233,998,253,835,759,825,053,
384,328,422,526,883,387,359,763,056,318,248,705,704,185,083,436,603,612,318,
477,395,511,779,229,221,488,167,411,738,433,619,171,847,522,342,386,568,838,
915,962,478,253,887,050,659,653,124,863,483,954,360,034,945,445,949,467,110,
156,244,427,496,641,593,724,475,819,241,934,639,410,168,030,649,462,722,418,
288,466,205,532,596,366,160,312,243,690,111,721,868,175,964,164,585,222,766,
060,277,016,815,383,663,877,512,700,884,697,266,919,884,546,275,993,093,790,
897,355,069,019,459,931,689,528,714,939,443,772,168,613,919,347,603,935,412,
439,416,732,341,833,916,096,150,335,726,438,752,649,310,160,387,990,686,392,
146,765,145,317,393,196,263,757,918,783,724,797,832,522,121,675,168,929,278,
095,176,597,054,313,893,240,266,215,022,510,501,778,281,243,199,575,817,236,
366,601,476,594,148,927,303,427,445,261,689,711,827,614,670,013,369,930,573,
214,366,576,396,700,022,618,373,144,269,449,845,073,172,889,327,481,726,013,
969,575,249,915,891,730,119,737,716,946,267,366,164,741,288,517,927,146,289,
072,613,291,623,857,094,850,508,143,747,733,132,388,059,478,360,589,828,596,
198,152,004,200,015,777,834,794,202,760,430,209,466,271,740,906,215,829,632,
027,732,715,880,707,554,263,580,629,294,277,086,454,454,008,688,892,134,486,
836,724,959,716,521,729,401,510,471,901,066,780,126,125,407,086,779,290,863,
078,847,247,285,017,644,931,809,420,835,085,016,502,684,725,336,475,095,710,
895,043,749,162,843,263,019,719,261,516,880,329,141,350,189,865,657,769,879,
564,917,768,271,989,912,301,089,373,117,932,215,272,260,124,598,095,489,194,
314,184,046,082,137,689,549,538,410,188,921,731,205,424,699,591,289,762,182,
368,066,605,173,171,539,561,412,227,939,242,555,491,753,437,250,900,109,562,
688,716,438,456,834,094,411,619,532,373,826,573,750,622,941,901,647,285,026,
954,197,152,488,546,673,910,960,053,710,430,056,115,357,536,149,161,131,543,
503,037,665,774,267,648,431,510,877,969,087,463,702,507,087,916,908,879,286,
440,301,443,446,661,914,555,920,661,948,450,340,204,257,716,014,308,807,124,
251,455,521,754,191,736,661,233,348,168,398,324,975,303,923,334,227,250,324,
676,238,453,458,660,946,805,011,888,286,016,877,518,593,454,607,273,917,314,
474,266,192,569,260,376,923,928,246,536,992,649,614,954,719,283,336,742,158,
063,216,788,180,178,735,835,046,873,239,418,144,218,183,853,593,821,996,155,
605,044,957,674,986,824,455,611,044,184,888,025,109,217,486,251,586,336,047,
542,724,748,145,497,724,499,390,756,054,150,601,446,645,616,317,687,874,513,
883,066,992,633,219,989,660,041,410,532,255,192,662,728,462,388,962,428,275,
671,194,382,320,073,380,461,958,712,926,071,263,145,874,486,354,045,098,759,
630,213,318,241,956,635,966,470,321,960,331,681,609,354,891,203,748,070,239,
788,121,246,527,763,295,508,027,088,124,561,319,547,407,175,468,964,256,365,
393,912,409,805,584,687,343,388,442,948,646,816,268,646,621,903,995,581,901,
270,518,898,149,144,766,772,096,977,558,085,642,810,102,038,872,108,355,391,
430,161,383,603,657,085,663,987,170,811,750,104,324,617,165,614,819,834,397,
546,575,770,517,008,392,739,690,265,869,482,535,036,952,647,969,313,571,500,
720,121,982,924,321,009,247,665,899,053,391,813,028,648,148,635,158,994,899,
620,028,507,151,114,164,059,444,668,297,226,069,313,814,181,835,917,145,944,
048,476,100,819,894,355,481,717,418,487,983,028,935,798,538,470,081,248,475,
987,927,057,443,683,231,372,668,196,412,680,122,706,309,033,824,048,059,848,
362,144,406,276,385,590,225,610,024,817,577,836,001,875,446,090,559,905,490,
608,037,585,313,413,364,792,806,071,072,536,704,954,481,687,995,453,470,159,
647,560,204,191,836,495,239,852,185,124,643,880,181,835,881,316,121,908,343,
419,167,721,224,325,144,178,132,200,576,752,269,791,297,500,459,549,325,045,
043,135,257,153,551,547,893,764,061,640,891,887,111,743,773,540,365,813,578,
254,616,038,509,529,864,079,709,091,215,660,845,809,984,464,485,996,144,566,
857,542,472,166,199,207,071,153,499,282,047,426,561,945,159,848,050,271,090,
113,589,297,477,229,646,102,194,115,721,602,366,370,805,569,362,142,335,366,
518,087,673,148,796,507,191,893,266,345,908,371,059,606,328,190,865,538,819,
772,737,827,957,076,966,908,330,439,038,303,570,183,475,067,236,616,097,980,
353,964,281,022,489,842,960,085,400,630,565,608,860,933,187,941,265,181,887,
198,372,218,517,839,831,977,969,306,646,139,544,830,261,329,005,452,908,010,
417,099,147,875,987,218,883,342,516,276,582,166,744,516,429,523,361,562,771,
056,693,628,619,515,971,378,583,308,024,667,245,057,333,666,527,002,293,243,
035,335,339,149,833,483,548,397,206,103,996,607,677,361,932,534,365,873,090,
859,879,080,842,330,740,765,237,037,645,705,772,678,818,696,817,997,418,740,
506,703,765,738,926,530,742,961,366,982,727,676,032,808,574,847,587,001,112,
541,578,317,054,466,146,058,470,455,157,609,076,757,634,368,019,043,179,780,
383,885,839,702,254,906,002,784,666,958,426,698,955,267,541,985,020,775,275,
057,577,087,446,102,205,670,275,990,601,268,518,820,292,497,132,043,031,142,
454,745,795,299,572,458,115,322,759,571,521,322,153,766,466,433,264,523,531,
881,344,099,383,907,039,322,162,468,279,902,231,281,476,983,665,848,433,459,
062,080,569,313,987,311,812,939,110,574,910,552,218,742,727,050,362,869,641,
873,856,502,921,539,643,574,878,073,080,262,754,729,488,263,968,962,992,174,
513,882,663,528,841,332,035,389,764,070,515,013,831,543,689,460,883,635,850,
107,245,310,820,844,764,954,899,072,205,299,883,577,499,544,603,615,804,038,
639,443,635,365,773,231,479,131,419,123,602,711,351,063,041,508,341,004,766,
802,065,468,648,347,712,100,644,605,979,561,215,869,799,420,247,663,548,382,
229,546,224,462,856,976,638,976,275,152,215,602,806,327,399,564,192,806,989,
457,156,649,018,174,375,977,278,643,385,468,762,745,101,926,841,535,558,681,
735,286,799,709,014,467,003,632,952,947,747,840,912,441,517,235,946,581,014,
540,575,466,546,170,058,468,591,630,014,016,480,307,267,855,560,762,943,586,
918,367,099,564,371,362,763,086,964,708,815,515,816,428,011,084,769,337,268,
560,199,719,950,224,110,892,321,281,748,503,462,438,331,853,983,299,037,141,
195,494,915,705,123,987,701,807,996,662,943,747,418,226,908,855,910,998,092,
616,431,487,009,799,167,390,865,971,029,528,047,637,331,525,094,923,033,464,
987,391,927,875,186,643,604,224,885,123,230,848,894,481,883,343,293,047,702,
982,257,072,767,079,437,755,111,500,573,733,178,163,915,956,251,708,868,037,
479,269,544,072,364,517,102,695,516,573,511,265,519,931,574,905,478,602,331,
070,550,169,949,145,341,836,959,021,030,721,245,635,475,512,988,276,372,810,
471,951,002,558,985,974,932,159,457,053,180,650,338,120,087,341,576,161,776,
760,886,274,115,247,874,846,826,586,071,458,974,301,370,493,063,118,446,882,
923,327,736,312,293,416,301,808,166,086,125,423,807,098,218,308,415,668,378,
454,488,669,896,986,324,207,542,517,300,121,129,136,462,243,711,235,281,908,
518,632,600,941,496,501,184,297,548,466,063,782,472,619,697,750,799,656,115,
380,714,356,751,487,812,151,061,372,778,881,714,539,781,606,428,341,351,975,
224,835,636,264,788,955,234,990,936,566,325,674,255,672,106,522,061,784,559,
373,541,497,177,807,442,850,155,075,235,128,195,383,683,470,150,101,975,772,
259,814,396,401,325,614,116,471,607,667,323,773,418,486,239,513,865,842,975,
473,407,607,436,656,512,703,662,406,398,554,917,900,500,685,258,648,812,791,
849,519,035,003,892,701,412,369,735,431,217,565,132,057,614,683,406,708,980,
814,714,375,721,700,938,962,516,361,815,778,966,560,336,323,443,151,109,816,
048,687,395,238,357,755,793,112,725,449,472,368,852,293,395,837,965,963,480,
675,630,815,708,877,536,841,237,273,197,329,271,818,998,553,763,577,365,582,
319,692,084,890,446,239,581,069,014,586,590,144,517,436,358,509,981,762,143,
187,310,213,954,481,107,744,671,718,067,178,508,074,233,356,076,521,612,080,
929,458,386,689,391,405,397,539,336,532,769,211,573,337,524,827,365,453,706,
405,273,837,431,326,214,073,720,453,615,703,537,707,625,941,953,982,938,476,
436,638,566,756,221,813,704,026,924,736,824,218,539,815,789,228,873,691,408,
071,732,469,789,884,209,043,846,439,059,732,641,662,536,115,490,503,122,745,
106,364,961,398,398,905,977,933,074,213,508,893,764,367,580,837,006,875,026,
693,373,911,337,645,819,021,088,738,311,030,967,922,187,713,445,783,129,265,
459,348,964,589,447,767,659,718,802,802,032,717,818,019,458,879,028,543,473,
587,166,733,507,766,480,216,759,719,072,059,946,292,837,323,352,322,032,367,
045,381,048,713,216,841,449,593,562,575,796,160,957,809,568,825,431,791,346,
380,540,972,605,845,243,975,164,341,387,286,519,493,467,910,540,254,551,603,
197,316,176,663,159,358,361,226,122,236,379,431,325,965,832,590,928,856,430,
383,238,320,046,785,316,874,250,798,444,996,417,383,881,382,361,139,495,425,
617,472,961,760,648,597,861,034,516,203,309,528,777,776,866,579,000,859,469,
290,058,035,178,062,893,039,765,826,499,693,377,738,751,482,083,206,490,122,
298,878,854,657,938,587,251,920,229,919,163,637,813,340,737,655,925,500,436,
051,694,782,473,779,108,349,390,397,778,345,759,334,693,387,973,965,139,412,
217,086,276,971,758,164,964,827,781,034,933,532,993,098,493,444,206,385,130,
003,513,646,883,263,757,904,159,304,564,558,550,657,425,520,731,395,140,105,
800,392,031,912,654,703,453,216,520,025,495,567,509,639,205,169,712,433,374,
723,732,167,767,374,437,595,233,084,603,931,740,374,516,090,183,649,397,510,
004,691,817,641,902,049,863,520,769,419,655,254,455,394,939,561,976,955,481,
121,108,192,298,233,171,219,083,709,863,028,787,810,563,016,648,987,505,565,
984,882,262,121,222,380,381,842,111,140,204,202,517,179,918,429,402,056,189,
514,564,745,508,411,462,836,344,589,161,841,242,769,364,437,617,308,304,480,
379,106,091,890,308,576,667,938,164,437,476,067,694,777,900,420,658,953,810,
864,565,103,622,260,906,174,330,727,331,630,917,623,274,090,309,544,952,881,
842,634,914,150,452,434,533,523,263,129,045,520,418,579,023,778,771,506,333,
037,652,395,836,132,112,104,420,560,557,252,469,156,521,800,138,208,904,061,
827,307,395,462,817,659,079,034,020,504,685,127,402,401,897,469,358,594,647,
793,168,756,867,600,745,203,325,119,055,558,337,478,490,162,602,449,994,123,
422,808,459,617,950,441,530,439,817,891,080,313,300,905,260,254,637,073,553,
762,766,664,519,965,564,108,024,216,868,575,898,296,142,279,428,051,171,075,
469,527,034,891,343,480,233,659,864,694,647,238,029,840,950,915,002,990,580,
978,242,429,139,504,056,899,570,545,244,361,226,610,079,540,479,009,131,669,
946,005,583,730,511,532,295,016,506,499,866,450,961,774,301,142,309,899,661,
985,000,332,564,611,492,746,170,126,375,073,610,099,620,038,241,610,453,019,
576,952,805,595,690,367,976,091,040,302,015,390,719,694,830,447,114,641,684,
891,581,071,498,328,993,753,364,050,001,714,033,722,027,047,217,068,026,714,
446,019,627,511,543,334,485,837,433,927,511,898,065,427,680,405,401,204,592,
157,298,376,150,481,769,580,258,300,384,775,488,354,321,498,049,771,003,927,
037,101,577,694,639,933,778,462,549,310,010,178,942,340,334,814,385,416,256,
314,225,618,852,847,791,944,019,413,932,510,908,483,742,954,238,795,939,891,
460,323,782,865,483,616,984,668,904,698,067,676,334,753,998,887,573,472,252,
089,297,591,014,861,781,312,889,910,392,794,646,547,286,913,096,200,071,010,
199,116,190,323,174,164,997,047,845,820,723,751,420,401,465,987,721,377,737,
573,692,189,287,710,521,833,904,697,528,582,223,550,647,222,190,926,213,556,
480,385,031,195,176,901,190,953,345,613,812,666,574,927,927,661,826,133,830,
696,037,314,441,289,127,999,552,326,791,152,035,328,664,738,484,366,587,949,
033,262,265,387,148,696,932,101,189,495,215,742,893,779,265,435,139,259,421,
807,535,526,062,406,487,318,014,413,974,864,800,177,880,173,392,518,395,718,
744,974,614,831,020,684,729,700,894,890,573,684,379,101,073,717,685,920,067,
079,359,983,098,963,776,116,944,452,028,367,983,419,172,832,792,771,140,824,
122,047,692,757,710,571,735,670,075,185,365,313,784,013,688,978,617,810,361,
301,617,231,346,130,073,164,242,053,344,608,785,182,520,070,315,145,319,090,
258,769,834,684,810,291,695,330,392,871,408,091,340,088,513,253,494,351,061,
305,019,181,136,318,544,769,534,637,622,317,709,185,539,043,822,977,879,248,
823,210,423,553,527,443,158,118,375,223,112,091,708,718,392,086,647,774,080,
473,673,098,161,684,813,817,766,740,009,734,118,299,166,263,048,767,143,472,
575,901,751,700,583,650,410,661,970,706,169,514,432,106,695,352,933,166,530,
834,407,225,091,735,858,892,214,392,907,294,112,417,282,826,484,446,060,464,
242,899,883,864,849,605,358,903,117,441,154,929,824,022,577,756,577,665,512,
534,983,466,865,904,261,242,773,505,160,218,606,265,380,377,452,797,998,359,
968,642,143,977,433,946,469,586,253,298,432,418,404,609,046,967,448,532,257,
358,571,966,641,480,366,498,588,149,116,561,817,749,088,887,643,039,170,009,
311,942,017,852,838,054,753,827,400,435,971,566,010,918,942,998,677,389,388,
122,689,861,269,317,220,259,023,511,660,276,922,512,149,957,235,062,709,444,
462,812,071,756,618,685,090,036,685,228,446,028,714,527,981,103,599,311,538,
494,947,419,940,225,274,523,776,576,285,668,841,544,367,132,612,756,554,595,
004,659,646,207,707,894,282,845,629,208,359,906,916,676,833,829,119,426,394,
901,887,756,521,265,049,924,479,980,071,756,213,815,498,380,904,607,239,605,
426,080,787,672,193,084,432,449,408,180,165,137,787,128,985,445,876,670,145,
204,256,042,552,653,677,774,198,101,496,445,489,218,355,370,603,052,428,514,
011,634,144,095,387,032,242,514,394,256,230,494,788,563,699,902,953,598,147,
884,646,323,976,342,542,248,942,451,808,809,045,691,004,205,586,272,416,286,
942,207,969,424,661,496,923,222,200,650,718,632,954,722,266,918,405,701,456,
736,205,626,776,839,600,363,437,861,674,226,269,268,267,631,702,079,498,526,
158,238,917,347,674,681,198,447,632,107,404,183,430,035,541,590,193,955,315,
787,450,151,950,153,072,964,239,006,165,930,511,743,597,860,253,477,072,412,
408,056,355,574,817,858,855,450,427,297,258,310,072,662,655,800,914,273,060,
082,952,823,826,232,800,136,563,364,152,891,790,126,811,903,614,217,228,094,
479,886,761,124,177,026,432,702,543,824,910,237,900,496,287,169,725,211,973,
171,785,441,217,592,683,770,038,630,015,542,673,388,897,692,450,019,235,304,
777,977,923,076,152,209,311,205,792,705,873,954,244,083,756,447,727,898,478,
516,544,613,001,586,977,744,618,032,243,917,929,084,247,459,257,814,625,407,
353,428,919,344,904,817,665,779,521,388,629,953,277,413,185,991,305,604,631,
658,889,403,518,523,950,944,668,743,740,656,338,204,572,982,340,002,970,941,
354,338,726,658,652,129,559,862,582,579,855,692,886,904,417,627,479,973,613,
813,568,651,049,678,902,812,685,204,523,061,181,306,458,294,779,548,912,082,
769,799,277,527,013,551,268,475,963,431,831,885,597,042,546,295,601,041,461,
729,206,000,340,660,405,968,424,699,842,587,050,842,073,117,929,733,595,550,
166,387,856,477,483,097,107,863,919,912,660,296,180,300,176,982,095,412,231,
082,713,283,551,530,440,904,770,303,132,268,318,251,139,301,567,882,950,235,
448,263,314,951,238,848,527,978,380,723,789,925,477,238,777,735,838,652,343,
017,064,963,457,690,376,193,643,513,433,543,301,316,143,519,439,138,043,916,
035,187,217,153,775,779,055,581,105,985,056,064,579,773,534,120,607,845,749,
471,483,235,047,913,856,396,763,231,038,310,212,842,013,106,278,207,152,053,
721,867,160,676,923,692,047,019,993,816,746,329,606,518,548,695,316,857,080,
611,678,028,700,315,143,174,075,586,112,031,754,536,600,803,497,102,921,044,
568,511,678,984,968,292,296,998,880,337,032,907,996,279,952,369,391,396,610,
626,286,165,915,903,699,196,023,365,823,304,877,981,142,212,843,105,424,798,
466,373,848,640,966,309,079,844,364,530,574,954,267,123,864,997,200,730,669,
235,806,985,880,766,405,104,054,589,951,223,009,212,126,979,442,242,198,863,
231,958,204,812,835,895,029,068,400,366,950,622,612,981,712,558,457,863,832,
129,037,360,995,389,445,899,740,334,592,088,373,344,830,736,422,183,057,497,
582,502,455,646,497,451,193,492,926,917,878,092,100,325,354,660,899,453,344,
467,851,252,090,370,487,418,047,926,727,334,160,908,344,530,841,069,090,843,
445,261,367,443,034,943,195,753,038,776,198,083,134,248,801,435,871,665,556,
496,981,413,823,618,512,999,566,138,595,542,813,180,738,417,173,802,405,051,
100,055,925,063,628,493,915,371,986,333,583,608,223,650,668,322,879,397,968,
813,914,981,935,783,926,621,731,585,189,008,475,158,479,340,616,077,621,900,
839,993,299,699,318,692,175,733,853,536,340,755,358,988,236,693,100,240,463,
593,330,817,890,259,310,250,527,802,230,609,477,353,186,432,729,870,199,195,
070,757,877,820,291,382,130,884,727,640,872,161,574,949,921,731,379,876,986,
677,910,166,991,818,074,134,825,437,820,604,397,693,469,026,117,322,978,077,
337,552,776,363,920,135,502,261,033,810,482,377,530,670,500,352,067,348,805,
759,683,902,243,275,628,756,427,395,092,436,027,082,722,646,348,684,600,285,
896,903,082,629,328,133,309,648,504,297,626,472,529,808,011,023,170,051,631,
281,133,710,613,984,254,483,154,449,146,293,199,629,067,791,398,250,416,105,
303,070,481,131,587,827,508,395,366,827,773,116,908,241,548,196,315,859,853,
360,266,230,069,580,069,823,520,211,248,251,950,335,480,269,189,971,800,503,
193,936,166,074,855,167,445,966,217,278,710,629,727,834,974,763,871,030,515,
280,630,480,348,144,357,461,993,656,874,097,671,965,152,514,087,147,108,855,
066,397,288,132,564,555,683,344,704,265,353,015,284,853,945,029,401,018,659,
279,594,213,650,054,218,993,598,985,336,565,412,367,462,395,615,623,445,591,
838,645,625,078,416,713,999,617,527,231,399,912,836,047,249,060,307,373,241,
629,777,958,341,039,011,515,617,708,004,693,296,354,800,112,505,615,726,385,
038,612,054,213,615,151,828,996,648,809,766,403,754,720,886,111,398,370,843,
057,543,685,725,378,154,436,763,976,507,220,635,367,418,279,299,165,485,317,
891,491,500,212,465,585,369,210,121,118,926,503,738,304,828,959,407,148,522,
116,692,139,277,287,663,355,933,757,132,595,891,873,999,413,310,334,468,049,
373,838,953,792,126,324,632,419,180,924,589,907,279,504,486,656,642,145,468,
956,954,226,671,605,071,697,358,051,250,950,222,685,357,303,592,944,727,055,
237,828,939,282,506,724,790,273,343,731,736,706,286,341,337,174,472,628,827,
651,243,802,019,579,853,088,686,153,245,828,430,105,697,876,538,766,787,236,
744,326,579,174,677,538,854,474,813,721,927,600,727,459,294,058,956,604,993,
040,757,324,102,021,967,756,010,215,335,878,560,764,464,950,756,690,621,314,
851,156,806,864,754,235,129,331,926,112,277,833,930,566,523,509,699,692,623,
287,793,719,148,816,652,484,901,698,573,380,726,159,260,361,690,514,477,938,
692,289,654,921,835,295,130,334,594,232,211,193,231,803,615,163,531,126,609,
363,147,235,980,974,011,553,650,686,305,603,072,987,389,264,101,419,308,721,
054,000,577,255,662,849,327,179,192,657,653,616,832,324,341,935,952,562,783,
544,623,357,730,995,508,968,534,568,015,911,536,438,959,338,199,817,415,994,
537,784,355,561,447,282,394,177,540,367,872,515,094,586,836,119,605,651,731,
379,422,280,643,233,929,370,044,095,141,869,491,348,550,286,840,500,274,068,
559,707,084,355,235,559,603,615,704,914,003,736,009,252,504,721,436,717,667,
646,818,537,534,242,683,282,334,174,419,788,098,502,610,725,753,649,704,444,
740,814,519,020,302,084,227,817,252,575,124,296,783,570,975,935,407,954,167,
839,860,128,612,587,002,883,925,549,616,120,831,606,785,171,312,761,005,513,
164,520,805,883,293,678,268,806,934,915,216,260,828,846,674,556,387,829,256,
555,261,961,868,226,640,148,160,733,544,209,444,380,845,263,644,697,630,693,
540,163,961,415,509,240,124,946,531,640,881,625,597,612,412,159,216,189,333,
952,884,523,528,191,432,443,800,354,092,353,827,258,015,740,049,291,146,206,
852,502,421,064,580,206,249,276,109,888,032,569,125,082,041,817,864,671,623,
643,119,417,449,232,721,568,707,043,533,949,314,903,721,747,208,012,139,553,
745,632,508,670,289,768,077,851,940,579,532,482,568,456,528,999,373,114,075,
581,932,177,508,462,542,662,419,019,576,290,260,800,201,007,288,188,101,693,
686,024,898,634,599,903,349,607,727,992,777,241,421,572,945,950,355,685,397,
025,436,061,636,765,262,721,542,008,849,395,042,240,584,188,362,542,800,659,
322,759,308,955,509,648,643,571,496,698,129,845,392,891,220,174,111,414,020,
912,707,687,322,363,669,244,645,727,960,975,784,604,327,329,726,734,477,887,
742,096,682,544,257,113,044,952,885,354,840,423,550,825,870,829,439,679,346,
933,504,204,049,461,156,786,802,775,715,973,638,995,366,272,009,344,553,818,
692,770,824,460,366,643,327,660,675,597,073,784,549,978,111,317,012,494,814,
198,560,813,776,232,937,746,532,961,762,210,943,898,660,672,543,269,259,722,
333,915,230,547,531,598,687,305,553,951,874,326,198,395,866,873,063,564,225,
027,305,556,149,053,922,215,867,930,588,771,003,650,401,321,143,841,714,000,
225,481,824,243,326,820,693,191,825,820,549,593,159,364,237,673,596,736,420,
591,339,035,418,675,458,595,499,256,826,694,833,340,521,221,218,470,965,430,
458,620,505,982,016,093,525,923,507,122,559,389,545,775,062,385,763,083,057,
059,592,847,283,729,166,114,083,548,658,721,863,524,373,279,962,771,825,633,
827,052,892,833,500,278,687,077,516,544,601,295,908,264,318,062,862,331,687,
198,269,672,687,593,283,276,533,855,121,099,205,220,978,057,024,640,034,553,
631,712,465,617,011,162,661,781,682,374,391,444,145,424,169,725,416,115,627,
367,713,182,472,044,355,953,413,212,476,565,810,311,325,798,087,560,731,140,
378,769,619,574,155,613,529,987,387,241,541,069,152,437,608,553,646,819,192,
155,866,786,178,461,704,218,220,480,913,546,350,794,353,680,926,665,026,316,
138,277,536,939,522,852,442,297,120,174,485,666,880,606,861,218,529,348,035,
341,834,857,253,631,616,534,674,819,312,185,159,788,713,178,772,456,028,251,
539,390,383,872,127,685,180,174,508,957,953,558,921,889,319,832,924,535,566,
427,305,689,914,147,793,685,674,684,445,726,109,274,715,785,505,661,164,243,
542,199,874,709,331,951,670,423,375,081,914,228,925,189,681,392,059,366,250,
554,165,957,975,050,648,755,161,038,513,297,434,018,559,196,458,894,605,459,
502,488,660,383,965,161,622,790,282,381,704,628,809,687,649,564,944,488,594,
386,664,396,165,021,317,584,008,280,103,768,364,245,785,324,288,637,879,531,
019,106,800,708,849,962,201,228,442,386,206,792,579,076,296,322,188,023,982,
966,562,570,176,735,483,403,072,693,808,158,715,316,557,251,123,399,098,517,
021,075,753,561,880,799,792,308,126,626,522,478,041,849,812,073,894,801,994,
708,994,869,728,282,318,456,402,072,442,759,716,945,846,900,184,131,764,458,
625,923,637,565,061,040,129,096,644,833,796,505,147,457,882,991,087,162,886,
717,119,428,764,274,297,815,387,264,506,369,021,169,560,118,649,160,890,304,
280,198,857,454,541,250,532,383,666,133,429,975,003,676,731,653,771,909,045,
668,358,857,529,789,626,423,270,901,413,027,354,407,298,995,796,579,618,441,
732,444,858,013,656,835,275,514,082,894,014,967,658,006,949,163,083,632,179,
191,157,571,012,786,375,036,908,939,979,508,809,617,012,694,403,112,195,274,
347,337,554,183,918,770,619,904,745,878,604,261,138,310,152,820,601,199,241,
849,556,273,513,820,279,054,172,499,615,262,686,841,114,474,250,237,663,751,
865,503,233,474,258,648,392,455,202,827,801,738,242,511,880,921,285,700,886,
331,214,445,272,820,325,220,968,261,378,962,890,190,888,825,892,727,285,473,
769,649,551,588,394,325,399,586,940,240,631,760,562,494,307,989,258,879,421,
096,489,062,949,697,579,360,766,058,520,759,886,281,816,434,024,333,467,426,
990,639,737,051,165,778,903,455,322,181,895,091,444,012,777,689,550,669,825,
288,958,955,383,942,107,722,778,639,495,081,225,359,153,246,528,132,496,793,
958,934,595,188,546,916,474,938,867,470,975,771,069,194,893,794,559,765,732,
199,993,280,743,778,647,896,895,464,172,019,388,347,585,630,995,146,809,074,
541,277,382,158,362,030,771,642,461,874,166,046,005,179,895,389,044,815,101,
037,912,588,568,672,509,265,198,313,995,900,806,172,883,184,412,854,106,498,
126,429,917,611,282,425,179,620,271,109,201,740,990,160,046,843,593,399,996,
215,612,101,841,592,234,816,609,362,166,120,277,352,271,264,675,540,886,338,
599,415,813,621,680,736,825,715,742,361,545,463,977,978,063,909,475,165,433,
644,537,479,436,326,522,676,943,798,476,677,764,773,565,195,909,998,587,354,
808,542,169,879,555,601,187,831,799,336,051,189,541,247,675,687,460,979,919,
275,337,428,567,197,744,849,391,109,245,827,862,467,120,330,305,422,639,603,
997,489,277,313,748,983,716,466,379,020,946,124,589,117,287,505,993,158,783,
486,314,121,855,591,836,539,272,930,554,253,741,124,247,698,622,369,622,608,
840,905,650,677,067,817,637,713,831,457,655,404,279,828,120,903,752,212,958,
439,276,344,554,322,237,868,915,854,436,486,951,421,326,253,737,903,069,743,
286,714,124,531,720,312,653,647,120,604,875,051,092,800,731,158,531,229,693,
578,363,816,422,421,226,210,516,552,376,904,824,770,120,841,809,667,373,353,
774,868,220,226,713,290,778,989,051,559,349,712,158,064,543,085,967,559,087,
146,008,647,540,715,601,902,106,784,498,000,776,976,091,261,517,776,298,857,
896,048,173,872,256,557,997,040,468,530,305,384,244,584,109,628,602,484,994,
269,342,881,937,721,684,025,278,158,418,256,287,138,653,741,759,983,976,572,
042,793,818,724,507,869,337,533,636,546,372,708,543,431,246,417,353,900,623,
882,253,131,707,681,695,780,435,338,016,024,797,572,348,672,949,462,453,315,
703,864,816,607,162,778,785,500,019,287,044,858,813,301,073,257,515,741,721,
173,640,524,259,935,053,932,793,042,402,454,021,381,250,103,592,159,390,148,
910,978,280,610,443,158,553,164,015,136,272,447,231,503,813,219,705,839,978,
472,439,297,701,369,939,002,581,745,268,852,601,510,378,613,236,249,841,940,
876,498,803,172,637,055,869,057,523,487,521,400,520,647,093,250,437,679,903,
837,914,460,458,405,766,650,797,600,808,202,120,638,151,130,885,784,309,206,
262,687,678,343,119,019,332,888,312,450,839,259,432,512,038,891,199,641,892,
449,414,181,681,862,947,999,413,481,326,950,304,577,882,216,839,644,748,740,
497,169,982,785,088,575,858,835,458,095,559,823,065,340,445,669,810,568,598,
649,721,945,838,496,268,356,537,539,970,543,894,160,249,032,670,606,409,653,
701,781,093,802,448,864,254,859,710,641,836,627,653,972,712,150,623,791,959,
745,771,494,568,319,728,306,273,321,759,871,816,000,646,935,464,915,297,488,
063,371,667,306,156,738,241,355,827,525,288,437,489,577,885,669,078,030,607,
485,648,418,375,975,081,341,605,505,254,984,599,835,254,117,871,385,814,650,
166,691,159,962,566,164,929,685,492,593,059,165,757,470,788,221,733,738,849,
019,108,700,362,872,454,208,124,032,626,523,210,260,599,799,610,980,305,700,
210,604,133,744,537,506,928,461,638,180,642,837,199,706,488,625,754,481,290,
422,733,771,592,991,939,597,169,069,529,639,636,180,385,970,894,316,914,355,
077,332,226,918,089,153,244,647,010,574,541,224,601,710,270,631,003,314,247,
222,977,904,275,766,499,640,790,524,338,735,937,158,310,271,906,052,818,808,
885,527,619,948,221,217,333,263,371,427,706,187,632,616,144,859,459,971,392,
303,108,489,031,010,149,404,518,179,118,553,570,535,666,430,997,801,911,386,
013,327,254,389,239,219,853,069,772,505,151,903,711,847,527,036,646,865,396,
489,400,446,636,346,690,510,933,753,176,689,850,782,107,010,613,084,876,578,
106,607,935,421,910,768,330,358,187,966,603,481,653,380,056,180,493,379,501,
866,538,102,219,861,643,632,015,560,771,538,146,359,043,374,104,468,289,688,
338,987,334,753,426,226,548,140,335,003,419,499,622,788,307,769,740,480,379,
108,069,286,825,822,712,812,956,437,324,109,944,882,222,269,509,097,083,671,
395,895,863,804,063,531,271,555,435,605,971,617,700,166,091,619,854,317,810,
090,318,618,591,860,741,429,427,390,047,817,187,090,124,116,222,140,683,176,
572,478,502,160,714,827,796,863,732,625,758,212,174,772,947,297,780,874,091,
695,130,481,567,653,211,700,298,806,908,735,567,830,712,142,045,780,342,425,
393,755,145,865,301,172,392,948,410,247,941,212,805,336,063,840,183,794,077,
002,244,774,707,063,859,683,282,228,435,226,427,898,127,279,985,803,737,795,
815,633,644,567,004,607,829,562,998,198,323,473,606,976,906,256,980,173,884,
594,490,532,458,245,082,376,090,093,482,949,010,473,192,967,773,946,679,860,
400,870,645,014,496,773,789,926,328,401,539,923,772,571,275,291,849,861,559,
273,802,249,076,724,146,902,240,952,537,938,716,999,850,505,328,168,354,316,
577,317,583,128,399,093,421,958,190,132,135,626,935,457,665,449,566,196,120,
188,341,492,870,698,815,587,640,134,651,467,332,910,339,961,687,884,910,143,
762,213,538,117,885,805,173,468,164,814,759,079,732,898,298,653,073,927,814,
145,341,898,304,165,350,671,360,342,669,507,960,186,804,414,080,045,604,209,
978,681,334,755,706,625,374,084,252,592,338,475,148,140,844,709,047,097,043,
558,841,360,042,999,954,320,725,239,070,020,482,676,724,086,475,185,883,152,
377,040,333,931,276,221,323,006,809,768,837,308,171,243,413,677,525,292,532,
004,537,543,698,427,296,879,668,279,897,313,182,790,569,075,881,695,619,995,
060,873,926,366,119,815,917,268,618,956,815,846,320,130,759,479,736,664,776,
783,107,891,625,341,424,462,918,652,991,668,635,819,297,327,969,447,724,876,
636,067,456,962,050,136,314,939,564,950,029,744,101,096,607,578,463,361,107,
762,550,246,077,209,904,857,778,192,124,838,571,239,518,749,158,604,530,544,
557,264,052,352,676,019,097,929,527,157,363,117,083,589,612,403,086,715,870,
996,413,952,446,971,459,245,263,677,027,626,769,652,704,520,305,472,083,185,
075,583,552,198,446,792,482,431,588,215,027,996,420,293,848,825,465,982,328,
290,707,326,995,126,129,130,659,293,255,936,859,188,932,665,706,314,666,787,
554,149,871,926,240,940,903,334,195,565,336,921,123,174,147,746,936,257,655,
500,016,044,144,377,174,781,243,307,271,141,370,949,161,162,060,325,138,519,
952,218,219,579,461,735,288,129,673,200,720,763,176,610,857,099,275,538,826,
486,702,020,177,299,891,227,547,749,443,839,763,607,209,254,254,016,373,422,
607,284,290,483,649,026,639,188,352,004,237,517,418,666,173,410,424,990,658,
465,425,173,597,815,016,423,147,657,305,836,803,037,472,191,041,130,578,903,
331,202,083,256,537,330,739,268,310,634,563,679,015,742,131,855,067,375,497,
782,623,926,726,667,799,180,142,597,811,308,702,614,807,295,097,563,051,151,
687,508,355,861,499,545,901,968,300,021,282,243,793,356,900,406,408,639,376,
135,690,329,376,706,444,788,056,434,975,121,177,023,380,822,812,029,590,507,
183,409,518,415,620,394,706,949,347,082,718,758,805,217,248,434,399,976,304,
905,403,162,522,123,777,708,285,290,736,154,695,649,774,564,600,460,408,851,
838,859,426,183,887,801,304,095,458,692,189,492,328,458,999,254,014,691,400,
180,751,387,709,090,380,751,190,158,393,019,795,353,853,305,641,172,916,801,
643,230,330,602,352,160,775,713,409,432,623,884,451,633,589,109,567,782,143,
650,833,609,225,857,799,929,987,774,963,180,323,444,059,810,911,978,674,122,
810,867,582,351,132,661,682,043,288,071,972,127,115,284,787,402,734,125,394,
247,908,636,125,252,813,952,893,988,146,417,004,416,248,370,955,102,941,690,
176,905,751,416,103,039,178,190,731,013,961,378,357,298,374,670,520,826,681,
638,793,809,499,487,561,707,855,251,194,529,095,468,310,413,122,484,759,086,
875,217,464,189,102,031,543,190,317,206,815,632,771,452,081,897,815,870,663,
454,145,377,423,527,741,120,366,391,829,834,275,003,523,231,593,086,335,806,
171,443,199,396,283,085,823,643,607,163,081,089,574,788,073,314,075,960,913,
772,146,821,012,831,027,707,667,771,815,145,575,310,067,712,206,759,291,158,
712,293,037,549,990,546,719,693,065,841,524,507,159,550,567,721,795,916,789,
989,755,191,659,117,987,250,422,272,130,548,158,365,170,490,522,052,248,525,
851,034,581,886,684,814,301,280,053,688,628,254,120,278,796,235,974,254,881,
449,332,966,955,733,677,274,422,781,305,879,612,362,183,644,805,160,665,022,
272,504,385,533,263,604,755,340,952,884,862,543,084,314,061,974,840,486,918,
915,195,829,599,985,460,988,476,422,909,466,328,895,177,736,083,793,751,635,
305,740,204,734,749,877,774,293,129,911,083,433,712,989,133,938,715,303,212,
176,919,146,897,757,532,347,126,589,779,952,268,804,445,620,032,011,205,220,
710,459,365,006,949,849,379,130,469,053,723,597,347,083,278,773,161,006,667,
533,405,260,557,760,088,789,952,279,803,099,716,319,383,275,359,828,599,089,
255,996,996,614,844,331,231,396,031,291,337,485,325,112,670,295,384,693,321,
682,229,627,243,708,500,591,682,173,325,913,823,654,450,894,551,107,664,878,
244,757,666,051,254,338,557,863,965,632,091,096,757,921,419,028,210,488,980,
111,655,735,458,880,375,869,755,963,373,412,689,841,072,263,676,529,033,939,
949,032,560,897,448,579,270,865,606,255,755,755,913,579,225,976,982,997,957,
992,960,641,779,866,211,056,888,198,185,683,383,437,248,149,540,637,935,912,
559,516,676,216,812,980,761,050,715,774,579,691,668,194,304,520,046,365,261,
616,575,821,263,076,932,220,203,308,028,939,263,824,378,474,654,602,658,173,
130,890,589,562,700,968,162,675,328,314,369,110,351,892,509,254,058,822,583,
055,708,061,291,524,345,925,307,751,080,778,184,630,114,097,019,746,250,835,
334,714,220,875,284,226,608,321,351,335,026,214,387,034,261,841,303,850,689,
173,013,748,118,010,512,826,048,983,821,195,400,119,741,348,735,309,551,485,
148,927,705,598,885,043,892,596,651,279,082,759,770,968,574,707,501,400,273,
540,231,919,056,784,324,972,004,994,889,159,016,526,260,278,605,254,491,559,
962,155,782,257,134,410,675,552,799,374,068,715,953,941,735,854,896,643,734,
207,513,131,112,013,055,133,916,972,737,070,551,415,157,950,672,794,025,932,
915,579,669,517,478,082,035,837,017,050,752,591,111,441,328,305,438,388,117,
774,825,440,508,552,605,924,857,725,838,812,554,232,685,392,680,336,039,674,
159,733,480,077,511,409,338,551,095,347,855,986,001,439,391,587,312,981,079,
933,679,292,741,610,285,202,008,252,584,514,315,803,797,436,103,772,062,537,
020,175,794,864,864,199,087,186,678,864,715,258,512,600,526,783,540,735,436,
256,945,861,839,855,938,196,169,085,579,646,293,511,131,197,332,569,862,142,
110,657,586,519,502,933,024,817,861,115,607,189,016,823,732,833,727,464,125,
516,380,667,156,684,816,610,491,782,942,073,552,858,291,696,691,757,487,385,
959,170,790,626,060,999,731,162,640,284,286,337,004,847,402,715,061,103,506,
239,422,544,960,589,242,762,279,184,902,767,158,463,366,999,691,329,193,087,
480,736,095,395,455,120,334,882,059,328,872,526,942,800,753,513,886,846,868,
709,369,231,392,515,471,170,959,051,996,156,144,017,838,307,486,654,766,495,
181,435,580,755,183,228,494,259,739,490,006,967,226,134,888,878,712,205,848,
326,756,373,215,630,870,494,052,977,214,906,994,531,239,160,038,061,018,881,
204,485,400,487,095,376,114,152,583,855,500,975,640,438,312,410,511,429,057,
467,323,975,084,352,048,620,619,677,659,587,557,041,548,512,433,517,654,195,
571,534,772,572,607,639,463,561,426,134,252,380,043,077,503,590,320,671,682,
026,678,389,919,269,037,419,266,934,150,984,831,176,889,980,982,830,858,615,
440,781,050,754,369,445,754,436,559,644,872,482,785,179,136,889,167,851,098,
917,354,358,583,917,714,441,622,398,328,242,647,084,636,252,013,448,228,689,
099,105,517,146,310,578,540,130,246,373,600,320,758,752,770,702,487,736,855,
247,009,721,211,860,782,326,177,907,061,082,748,165,431,964,411,200,869,769,
610,059,009,039,066,741,151,298,213,693,172,864,358,684,239,634,455,904,712,
830,619,906,251,901,132,931,942,882,504,919,130,938,768,087,192,895,390,927,
462,557,835,381,869,316,862,651,066,980,985,934,755,867,538,702,566,359,282,
420,079,369,987,943,527,683,662,676,716,843,905,515,068,964,276,718,899,659,
804,832,401,863,146,772,557,003,375,970,930,512,831,805,239,217,535,953,670,
344,409,066,604,875,675,027,045,389,455,526,344,546,637,556,344,833,561,191,
363,266,231,278,784,699,151,522,895,311,663,008,491,423,758,455,006,481,613,
515,188,715,861,159,559,502,737,320,486,541,646,611,785,206,301,584,311,312,
647,086,096,741,001,056,018,846,420,267,073,224,760,007,073,993,230,178,643,
526,703,520,110,349,659,815,412,060,860,550,642,758,074,584,481,326,029,916,
967,037,409,525,578,808,184,957,883,705,007,994,685,808,492,626,748,968,590,
585,406,667,266,753,910,629,742,972,808,270,851,067,740,837,769,830,422,264,
479,056,279,234,169,770,328,511,084,476,439,628,099,762,881,514,967,628,781,
524,381,816,674,073,454,554,613,277,597,363,927,994,179,483,047,767,339,674,
234,458,078,671,655,377,839,789,568,774,283,898,666,314,634,346,287,742,219,
208,790,177,510,312,037,965,007,463,522,803,320,814,158,729,140,613,976,833,
211,308,731,085,874,385,649,355,723,605,296,581,054,641,910,123,496,840,886,
082,139,914,561,953,646,651,843,805,281,679,319,527,896,906,066,817,579,026,
635,175,774,743,933,954,823,800,849,178,497,117,815,036,672,257,350,134,219,
299,070,382,793,756,194,189,306,949,437,942,493,295,285,558,847,649,118,836,
681,748,206,534,617,879,972,525,263,575,189,434,323,364,151,827,154,851,144,
909,477,992,773,502,782,113,554,827,174,461,598,862,007,240,321,772,126,089,
954,549,825,315,896,189,346,042,622,573,256,608,077,888,714,822,472,666,647,
809,667,325,604,916,066,106,351,466,554,680,708,796,292,642,467,235,656,079,
127,343,248,285,158,191,119,729,231,209,099,012,373,145,622,857,164,903,717,
925,155,690,948,531,308,326,357,450,208,054,203,421,404,693,512,153,034,421,
610,383,229,190,899,303,342,650,326,623,933,120,424,145,375,911,587,259,746,
480,619,281,313,364,338,235,627,134,014,220,245,545,523,552,430,650,348,149,
908,539,067,018,179,046,752,935,345,429,922,232,613,367,173,548,597,843,001,
067,704,276,142,889,081,344,750,595,337,506,554,553,792,714,527,232,110,176,
694,141,225,151,558,617,818,914,877,968,695,119,671,701,341,589,965,916,601,
016,953,654,309,081,239,963,348,897,546,224,347,908,883,282,760,559,418,666,
602,441,412,341,393,732,244,948,246,666,288,028,173,702,904,091,558,979,414,
391,807,525,945,776,203,091,211,532,238,507,871,587,619,921,473,900,091,109,
922,728,847,085,647,309,889,097,772,738,228,001,103,220,244,994,581,329,815,
886,658,297,826,646,051,372,635,375,596,410,747,003,017,134,568,273,231,029,
615,775,070,085,881,669,660,786,041,114,071,406,279,272,700,056,714,095,703,
380,980,063,877,748,074,955,788,106,697,825,531,253,851,577,092,839,540,716,
373,701,602,207,587,646,358,532,545,552,552,386,180,018,423,775,653,424,871,
412,275,347,164,150,254,381,465,901,705,459,622,558,735,362,091,504,355,625,
245,078,877,832,426,293,872,103,441,795,966,553,449,432,112,478,313,855,880,
365,275,333,985,219,033,573,423,553,700,612,909,709,134,296,710,599,901,825,
669,297,593,864,427,570,603,082,223,209,655,715,277,756,616,492,591,727,916,
008,594,186,481,747,551,188,355,425,149,053,733,301,743,212,795,767,376,072,
663,121,474,342,676,936,983,535,523,285,907,535,961,008,537,410,412,958,618,
531,270,540,988,224,977,877,325,363,697,845,816,761,679,581,275,713,997,976,
589,520,985,414,031,450,198,227,781,539,017,938,399,273,609,973,983,713,094,
377,576,044,434,893,596,674,449,654,605,003,301,333,702,918,798,543,054,897,
571,624,664,096,522,165,142,387,171,359,762,034,539,894,969,193,599,300,591,
057,846,026,090,886,586,212,177,497,281,669,138,245,695,452,996,163,810,357,
360,583,248,850,277,588,762,831,088,832,824,144,856,195,634,749,009,576,600,
931,392,831,176,970,888,405,784,649,670,427,417,222,266,522,323,369,998,112,
589,614,221,093,083,884,109,717,915,067,178,193,293,329,346,356,640,863,726,
564,959,756,980,288,597,787,316,892,474,422,546,437,514,830,476,322,043,870,
244,387,880,001,439,035,077,748,147,332,298,459,643,886,254,496,053,928,991,
004,866,007,591,593,420,821,654,540,256,519,736,559,324,959,597,564,080,912,
288,305,278,483,881,584,429,956,117,035,080,834,848,449,281,771,198,255,926,
999,935,064,253,630,128,867,378,599,084,641,274,741,597,289,177,051,380,537,
505,573,939,243,774,946,600,372,059,995,712,770,571,823,478,783,070,522,629,
527,039,931,561,547,503,825,179,152,777,869,773,939,401,432,571,825,806,874,
584,420,815,463,347,237,373,056,973,201,107,809,874,670,852,557,131,499,595,
272,072,975,046,862,074,373,894,658,917,078,898,742,730,468,811,832,151,827,
280,301,644,567,673,132,968,972,233,540,068,110,914,245,744,706,990,869,851,
425,720,691,604,042,712,690,875,773,491,936,964,155,542,635,461,396,039,514,
641,007,292,699,551,065,567,457,342,327,301,269,017,251,095,742,859,218,948,
312,088,289,624,254,710,913,332,294,453,232,787,972,623,849,791,256,718,632,
321,383,840,823,452,365,031,124,153,436,599,044,233,652,870,432,118,776,766,
996,876,910,103,958,766,644,337,367,223,357,438,008,064,792,971,891,337,026,
740,100,901,822,781,917,799,311,768,010,559,213,455,657,451,048,390,877,888,
549,784,835,943,979,635,173,130,789,561,302,625,242,604,830,642,787,183,774,
840,127,350,895,069,213,888,692,832,475,093,816,697,847,827,159,888,448,787,
394,010,680,949,008,266,899,409,486,311,903,727,899,034,433,931,420,236,149,
331,431,117,395,935,830,662,241,043,721,529,200,126,675,014,645,206,444,927,
235,027,311,200,217,069,845,176,453,986,170,220,290,356,380,123,273,827,668,
099,668,898,350,932,918,922,893,223,663,243,214,516,349,371,462,320,704,391,
789,399,257,809,156,021,337,309,677,891,081,391,011,588,198,241,933,221,966,
516,651,415,182,166,126,959,600,344,325,304,809,292,229,563,037,370,445,516,
800,754,069,825,164,934,923,358,174,855,455,182,894,529,739,707,002,489,814,
567,673,766,019,935,871,661,875,140,108,210,197,607,464,684,826,296,126,461,
347,477,329,014,974,202,624,197,904,786,818,994,435,874,253,637,366,155,646,
325,500,193,921,280,142,060,302,974,041,923,307,936,407,912,100,980,870,409,
686,402,875,396,941,614,027,396,203,574,261,175,776,626,876,679,978,773,434,
118,441,837,395,278,396,808,839,720,934,344,800,235,518,357,775,444,076,693,
951,533,886,372,257,489,474,411,683,981,973,913,124,490,350,310,298,240,415,
950,063,341,302,325,105,269,305,202,738,244,114,980,432,323,272,178,340,340,
892,275,039,414,693,286,156,493,349,130,737,899,838,434,947,822,674,721,231,
949,003,354,567,199,356,075,540,513,501,547,009,144,674,578,546,013,618,334,
692,994,686,480,669,237,232,521,163,949,351,422,256,958,153,962,291,758,616,
387,836,794,462,219,659,139,501,718,881,663,930,370,752,329,664,434,751,534,
084,316,821,761,070,314,484,953,284,737,151,452,205,167,596,647,529,985,658,
556,793,192,607,098,478,804,517,578,066,593,220,859,890,963,003,161,651,010,
026,480,555,519,665,336,378,935,571,509,993,208,950,647,803,399,275,081,824,
637,046,235,033,592,430,886,449,332,787,099,556,088,322,359,823,665,385,317,
257,719,645,767,258,989,568,653,157,558,067,463,798,417,547,698,005,770,219,
842,112,856,120,104,251,418,423,750,916,808,957,765,040,978,360,217,492,185,
697,343,248,147,366,795,493,762,359,155,425,502,913,870,439,705,287,300,612,
940,909,117,125,037,501,203,528,990,023,352,315,274,698,054,487,873,076,915,
737,235,510,831,653,896,899,275,303,729,834,435,221,870,527,760,587,025,351,
610,932,306,326,502,349,658,252,649,979,092,529,621,611,757,050,401,549,148,
252,039,406,783,260,292,643,637,800,418,913,544,932,400,689,904,040,585,228,
580,898,771,060,192,798,866,202,733,461,821,463,907,615,154,610,805,909,559,
103,012,828,282,928,575,413,212,968,891,210,414,538,824,965,012,597,029,951,
936,866,737,741,253,791,531,350,473,108,050,629,013,523,205,778,923,707,259,
377,948,500,671,718,155,073,661,080,971,175,628,856,266,855,026,692,586,493,
510,984,319,899,159,915,758,724,719,141,975,982,778,803,796,901,847,732,008,
214,165,006,552,569,167,641,550,196,842,015,525,463,333,848,417,188,700,941,
277,491,881,240,202,577,440,691,544,289,076,970,984,528,523,252,898,832,130,
281,805,281,633,268,619,387,791,986,334,058,340,132,624,704,333,271,114,926,
214,105,619,501,619,369,563,237,108,679,681,563,120,138,024,163,465,447,158,
969,518,993,895,590,524,627,162,588,872,942,344,787,867,482,198,081,236,657,
335,158,630,834,027,350,531,680,150,801,236,055,201,801,331,580,258,563,944,
402,880,729,780,265,805,398,283,112,993,996,786,945,670,203,706,530,465,480,
927,936,681,793,656,167,490,685,313,694,299,181,373,382,511,542,125,952,301,
886,157,709,021,056,375,442,324,627,836,407,211,864,141,259,245,804,646,056,
872,310,043,162,797,709,115,790,452,060,656,202,961,848,677,213,679,809,461,
333,684,070,995,737,316,608,744,497,692,909,732,268,852,604,784,417,893,463,
583,369,883,028,445,533,184,684,490,022,656,051,642,716,802,614,039,825,143,
760,544,188,072,449,629,960,627,038,627,708,253,540,582,690,760,143,106,667,
260,320,164,294,183,483,707,168,800,621,255,874,021,399,282,962,139,176,903,
946,469,267,421,617,725,869,408,913,856,996,355,830,027,197,609,073,668,358,
950,068,805,180,232,062,222,146,876,484,663,813,781,544,392,388,766,649,629,
623,013,128,147,400,454,292,293,378,549,553,560,957,343,765,634,332,020,094,
412,104,250,300,287,663,446,595,099,063,776,085,354,906,940,979,972,531,705,
893,421,460,263,490,580,403,387,110,664,519,601,690,656,378,978,602,813,086,
786,841,745,789,914,927,564,789,272,301,618,281,015,410,329,978,251,986,765,
585,694,567,930,899,677,622,266,225,670,853,550,979,957,131,026,901,642,259,
798,676,519,085,805,316,214,737,109,495,344,174,394,012,553,867,178,250,380,
858,020,906,720,357,092,121,097,129,281,928,100,028,636,176,078,401,908,078,
841,595,450,315,924,013,086,914,558,287,928,947,362,414,854,430,824,336,155,
524,091,609,767,569,952,927,789,655,582,995,583,980,235,996,267,753,998,811,
826,427,665,085,252,125,467,010,475,513,752,532,116,845,134,145,484,070,478,
382,978,281,931,783,704,479,008,743,338,628,469,570,578,213,954,119,253,770,
434,829,661,817,163,055,005,145,023,696,874,172,361,910,913,631,636,063,893,
510,112,474,997,542,368,541,579,763,867,477,665,696,887,488,554,736,883,755,
975,441,601,485,387,926,962,521,666,830,736,160,323,587,162,152,076,698,161,
896,312,026,956,929,533,512,235,813,513,013,662,124,093,556,584,419,859,984,
739,223,815,719,620,305,902,955,951,239,635,181,776,529,609,203,402,957,400,
396,847,954,097,001,106,942,881,079,256,909,821,981,401,014,082,806,956,246,
492,561,872,347,906,318,810,973,873,974,045,027,622,642,862,069,646,696,403,
863,027,716,624,090,805,487,858,880,025,342,557,130,991,366,001,269,962,143,
719,637,180,162,420,569,517,482,140,242,332,496,200,523,645,033,422,619,104,
342,600,787,780,449,121,676,390,983,217,284,952,358,347,404,287,863,670,984,
748,046,551,023,672,670,209,672,904,536,538,902,717,209,210,121,198,747,634,
251,146,235,793,972,880,464,875,368,947,297,047,749,688,915,427,658,539,925,
856,280,547,397,468,605,493,465,183,569,967,008,286,260,533,295,603,802,415,
218,069,460,090,066,096,116,268,233,582,068,693,119,058,559,872,820,047,844,
058,131,430,066,511,083,474,890,834,801,039,178,487,959,139,089,562,498,374,
621,502,960,307,641,032,701,958,014,520,836,730,154,321,749,642,540,138,098,
596,019,192,523,401,287,493,407,507,812,817,007,299,913,626,160,246,789,364,
314,462,651,579,389,739,045,565,541,175,056,759,425,359,659,406,454,123,969,
202,081,709,547,928,058,502,380,781,776,051,213,303,829,414,413,523,929,578,
538,343,043,402,864,533,267,486,414,233,534,584,338,255,373,163,496,706,419,
141,352,797,124,070,048,502,490,792,854,506,092,544,657,284,132,228,716,952,
638,326,099,318,926,099,599,788,913,633,439,738,492,417,213,746,877,497,047,
606,002,190,241,677,090,007,148,921,517,485,980,893,132,421,014,708,085,238,
229,946,339,713,455,392,158,578,680,629,260,822,329,635,274,785,137,187,200,
649,227,653,201,410,245,640,984,483,570,942,244,858,212,371,071,124,394,416,
656,372,003,827,460,471,051,642,711,691,204,824,055,266,431,911,651,343,600,
461,226,218,982,697,697,538,872,300,936,262,035,797,157,062,024,153,896,110,
427,651,906,439,908,157,809,877,428,525,768,927,095,577,869,900,461,920,674,
974,402,370,230,846,285,965,672,300,757,623,332,859,456,990,844,186,789,104,
538,104,985,489,821,564,422,594,357,929,143,771,707,906,605,007,032,095,446,
163,944,359,034,064,756,949,049,152,137,511,480,967,824,033,820,366,095,903,
001,138,935,074,017,288,610,016,141,048,080,881,162,213,075,394,744,514,774,
694,677,178,204,929,679,203,977,384,926,249,627,988,886,485,454,296,035,167,
705,709,934,650,681,682,792,037,663,163,167,371,655,859,353,356,083,328,468,
129,636,533,780,019,611,376,463,775,635,167,295,488,788,472,220,883,692,827,
113,339,689,667,836,179,659,050,283,878,783,436,194,416,653,265,526,760,788,
106,927,857,013,831,317,613,741,705,425,696,897,725,018,527,080,743,454,487,
984,050,270,447,135,495,995,723,494,639,342,516,109,622,068,068,734,287,791,
305,878,125,969,258,380,046,653,030,378,695,340,807,929,493,413,915,075,603,
387,500,200,609,892,040,081,191,969,740,350,805,633,234,707,529,889,036,071,
263,936,079,104,606,079,021,418,586,953,703,346,297,842,522,097,284,372,880,
632,231,883,796,154,977,996,791,518,577,343,053,595,881,994,429,757,322,134,
872,997,745,953,749,682,957,662,141,236,870,325,799,001,613,341,933,726,363,
240,683,078,734,244,550,112,240,641,618,409,787,491,329,474,007,032,643,364,
126,669,145,632,296,569,211,421,136,381,508,442,560,040,558,517,815,626,722,
750,983,262,177,253,962,465,162,051,772,983,827,390,992,458,474,483,878,073,
475,654,325,262,381,233,634,212,673,601,244,319,493,941,108,418,325,086,179,
516,714,752,902,064,240,158,136,908,807,227,069,039,872,134,132,802,138,574,
866,085,629,175,148,956,163,732,223,117,264,578,038,834,246,384,259,164,652,
471,605,128,293,315,873,168,525,390,221,268,535,360,694,767,125,711,296,121,
417,097,342,204,026,466,630,716,072,277,053,617,300,084,128,023,490,656,104,
078,442,875,393,802,265,236,243,007,490,355,839,998,105,491,702,551,125,360,
791,568,392,951,970,351,882,070,799,341,888,523,436,502,478,771,012,252,331,
734,842,132,968,951,491,113,898,136,201,061,249,291,976,881,828,060,418,058,
200,439,107,754,949,113,816,114,452,730,721,332,623,382,178,077,155,464,082,
433,445,907,322,948,864,075,422,798,674,672,606,000,724,152,917,005,832,233,
249,177,237,057,084,344,993,124,250,304,288,456,167,261,875,812,521,913,586,
465,071,892,652,399,841,834,105,682,074,989,237,529,275,169,437,001,974,486,
926,856,955,745,682,773,574,767,768,452,266,343,431,661,221,687,672,569,443,
122,185,045,328,181,919,413,154,630,884,430,881,605,153,423,965,783,413,122,
300,901,415,844,276,896,389,310,956,525,279,116,099,424,667,896,049,019,536,
154,370,239,553,758,243,623,968,021,983,746,339,033,235,172,921,172,105,704,
688,070,665,446,919,875,044,227,613,213,172,573,171,653,074,142,639,278,626,
842,801,810,740,397,299,254,377,488,087,394,113,128,815,293,974,308,169,158,
264,439,409,843,558,675,689,492,971,919,369,888,431,929,693,169,445,040,076,
068,878,298,383,438,207,031,150,496,578,110,078,927,881,860,264,535,969,860,
370,935,094,071,526,455,312,753,366,786,737,541,554,117,747,675,133,883,518,
795,661,598,874,803,293,613,335,613,537,162,804,785,592,856,795,478,965,963,
952,615,771,722,774,537,705,830,583,610,485,060,357,481,619,615,348,418,428,
691,778,572,440,008,737,145,650,665,943,005,003,152,830,323,044,869,224,334,
023,747,652,962,071,731,724,420,273,741,770,503,052,601,006,721,066,470,856,
653,965,828,201,519,655,453,886,403,673,622,953,391,646,401,774,097,945,220,
033,278,111,408,791,726,630,912,488,394,393,265,550,212,040,427,146,220,844,
704,024,962,483,535,371,993,599,202,691,852,719,337,002,810,891,471,011,548,
874,151,138,035,097,189,132,329,297,950,309,019,238,912,242,649,042,680,925,
451,956,079,282,608,332,776,764,917,593,840,592,432,812,332,089,355,887,732,
580,252,759,616,819,810,743,698,374,206,999,829,429,461,531,576,053,597,455,
442,862,888,859,944,791,834,605,387,618,393,139,278,300,480,524,816,294,055,
151,223,810,864,474,509,499,156,420,368,305,748,564,403,028,545,856,017,587,
031,474,077,495,051,779,297,859,454,532,661,060,660,573,235,258,846,684,723,
482,085,816,933,786,850,326,661,673,572,696,909,348,319,307,082,116,090,373,
680,418,782,063,860,101,333,091,913,689,919,852,192,197,326,133,214,530,688,
740,879,253,081,924,708,432,766,225,205,694,807,091,716,279,368,169,085,395,
531,398,414,164,420,917,620,175,015,754,910,852,165,921,915,974,947,934,185,
082,409,009,244,776,778,821,764,542,918,332,230,159,984,882,943,114,646,700,
210,770,037,769,919,660,873,732,625,337,353,476,479,629,060,955,350,917,666,
971,445,149,538,602,959,875,964,753,223,643,867,842,484,162,900,025,060,826,
744,229,802,509,296,637,717,358,971,027,958,530,735,774,855,907,993,120,864,
612,211,315,102,571,573,207,479,920,522,958,220,089,281,701,687,187,366,687,
356,690,276,311,457,763,364,220,053,239,414,920,917,706,877,296,863,458,955,
184,206,365,019,294,022,304,602,479,920,595,944,823,300,449,942,515,048,919,
007,323,381,477,713,321,564,936,084,261,435,123,387,315,336,291,095,494,222,
010,278,121,009,205,799,506,104,384,012,694,543,558,351,583,779,051,761,020,
764,446,513,817,050,589,565,615,558,055,584,973,994,479,344,248,753,571,221,
511,847,008,360,959,179,442,957,819,290,566,970,974,077,467,533,097,758,101,
996,553,821,307,034,762,998,928,806,744,672,454,887,842,521,624,150,214,649,
399,788,748,112,556,813,767,884,902,810,772,824,433,232,929,479,767,546,487,
384,526,431,613,964,033,735,636,276,891,089,424,373,301,890,848,194,294,878,
533,293,310,357,277,573,266,054,715,089,513,885,604,276,034,725,190,866,976,
420,767,460,268,919,689,319,907,543,116,348,964,356,647,633,318,922,030,791,
687,066,201,426,912,441,621,831,874,860,913,283,609,237,252,741,140,552,055,
408,901,983,059,392,961,601,055,161,796,819,852,269,431,210,919,597,667,005,
966,480,032,087,422,539,112,735,696,207,284,390,896,979,127,151,256,960,325,
793,286,399,951,753,750,091,889,276,782,287,773,749,735,080,812,769,537,630,
200,636,918,666,588,229,015,766,515,836,461,957,135,269,905,213,942,115,251,
470,945,059,636,004,928,630,102,448,586,680,873,929,592,441,788,715,682,112,
714,730,959,713,508,687,995,676,590,503,325,735,408,728,752,573,174,424,578,
276,108,999,395,359,110,955,022,846,336,787,447,082,524,492,963,716,519,918,
105,006,135,222,950,463,002,620,374,288,344,063,081,891,205,901,755,530,599,
510,766,501,127,387,472,140,697,265,107,711,879,147,970,175,336,382,617,794,
252,441,714,824,843,344,490,539,260,895,513,007,586,215,509,795,783,039,558,
935,596,208,263,766,050,016,126,271,293,901,231,508,416,617,183,447,058,006,
236,713,062,479,972,105,277,592,514,283,989,076,210,401,731,451,543,483,691,
093,559,337,056,999,182,188,658,872,516,389,224,909,067,657,011,685,822,382,
015,280,263,547,416,367,197,009,224,277,345,195,614,510,503,685,150,117,476,
451,572,027,344,393,979,807,512,587,232,180,533,441,579,119,653,063,980,879,
469,648,011,165,570,471,260,199,188,855,201,883,350,969,168,310,604,326,622,
238,891,699,021,984,561,755,116,737,942,369,836,346,590,767,911,737,138,347,
706,397,252,938,569,576,605,151,299,824,385,772,751,850,485,707,499,107,339,
519,512,810,941,136,292,406,854,652,815,907,494,915,110,547,402,435,064,700,
086,041,383,652,671,997,788,261,027,076,729,934,140,465,254,221,074,521,568,
415,022,019,053,577,328,563,066,500,484,201,925,984,104,232,139,757,838,896,
026,875,816,289,410,543,628,500,241,135,852,326,449,269,712,669,773,819,387,
334,692,282,655,414,922,307,440,718,437,231,768,042,167,504,605,466,171,152,
252,604,251,858,493,881,640,646,270,818,426,125,638,113,587,542,985,716,189,
891,792,654,034,738,003,011,276,580,520,854,953,780,144,880,303,795,373,890,
112,191,920,755,563,826,341,170,457,534,651,627,982,735,662,212,512,700,802,
713,282,365,908,884,167,527,784,274,994,378,111,440,624,571,430,803,432,533,
367,852,066,683,233,659,089,767,849,034,825,720,538,566,390,048,776,582,775,
956,263,667,511,086,231,892,148,307,327,745,818,236,473,655,338,008,078,588,
087,358,228,926,818,103,770,187,435,222,268,429,826,202,509,728,691,237,888,
575,919,468,069,646,708,874,217,906,483,695,690,927,070,464,330,332,647,691,
322,029,169,728,530,788,672,147,726,388,803,728,575,426,693,411,007,079,473,
864,373,225,186,088,668,030,963,129,678,765,732,094,709,163,435,701,422,743,
131,007,557,615,532,904,411,073,982,765,614,524,339,718,252,096,883,420,523,
953,709,356,152,318,362,529,674,027,740,731,830,729,200,143,468,741,206,266,
593,127,935,388,229,855,399,966,464,947,728,992,601,507,193,495,300,500,980,
329,541,820,474,398,080,900,730,034,576,884,857,229,678,698,884,717,252,382,
751,986,685,465,561,641,331,019,439,919,224,443,677,421,068,648,581,760,652,
933,346,652,766,405,557,687,459,865,956,172,017,508,839,038,337,147,165,276,
882,748,688,362,635,016,113,659,275,220,674,070,249,724,515,763,547,928,919,
814,032,211,925,650,206,416,283,119,877,849,693,129,122,054,701,089,430,664,
802,621,981,415,401,423,140,397,130,531,127,286,139,388,760,027,107,828,499,
683,298,023,217,294,571,400,060,609,114,014,529,392,301,371,283,135,409,913,
484,633,507,825,029,910,767,578,717,357,599,408,208,471,521,452,696,547,460,
740,686,265,762,422,736,872,878,494,636,738,238,019,249,762,093,897,903,911,
746,336,027,505,800,234,483,416,877,618,110,587,022,973,556,972,740,585,620,
104,464,949,428,670,619,797,911,825,922,274,743,066,774,362,283,981,432,391,
891,673,935,002,162,786,499,478,980,736,934,959,864,611,699,475,950,614,782,
139,399,381,122,862,822,055,832,092,583,805,009,342,770,764,010,573,043,721,
677,284,009,457,864,639,362,255,818,720,291,155,311,299,419,218,813,081,189,
305,060,066,245,160,851,908,020,625,835,755,535,600,809,736,837,099,982,213,
355,966,636,603,172,567,517,279,693,552,411,271,986,107,904,786,299,357,225,
010,103,117,264,373,965,447,427,020,575,789,536,410,245,847,433,659,049,260,
402,926,096,727,441,902,632,596,034,469,843,751,023,047,876,848,771,461,523,
139,214,378,916,283,942,290,712,534,313,491,778,335,423,532,762,379,472,361,
731,564,951,778,610,375,381,638,446,761,859,202,743,034,581,544,407,241,287,
860,050,136,357,610,253,816,261,464,088,382,301,406,681,512,793,331,801,134,
810,188,619,565,442,159,863,329,169,317,696,656,753,616,215,818,546,357,336,
073,534,563,459,396,043,921,885,317,332,562,170,984,242,843,392,230,037,831,
415,759,538,634,281,041,012,070,102,746,409,563,932,030,261,542,757,440,366,
301,641,772,683,326,191,640,089,461,299,888,452,663,724,669,741,890,826,725,
868,008,108,215,921,094,178,022,974,352,716,275,128,737,624,191,551,227,089,
179,927,399,250,297,422,984,309,960,472,963,100,469,290,873,745,627,751,349,
147,667,592,961,434,093,629,294,384,731,987,252,976,536,722,323,469,316,788,
535,350,936,230,457,482,368,160,387,062,149,601,049,024,533,525,711,734,966,
913,769,802,453,371,365,641,516,828,657,128,156,672,686,796,135,613,511,417,
792,513,671,809,357,376,662,462,625,793,131,833,529,549,422,290,599,181,131,
917,741,095,724,922,762,097,484,391,069,544,427,952,660,051,667,036,009,109,
808,826,381,000,450,687,438,639,923,647,683,046,145,404,224,976,773,005,566,
224,214,408,464,086,691,931,804,948,609,374,585,803,896,101,150,703,054,806,
432,981,435,819,208,105,165,057,802,466,725,440,958,270,302,092,674,571,328,
161,752,827,066,118,572,849,120,558,907,798,877,300,572,480,223,102,876,289,
111,459,697,802,171,596,511,015,050,813,961,270,270,040,429,256,249,415,695,
883,454,196,403,353,842,125,973,125,474,277,513,380,946,363,823,007,675,061,
314,908,996,540,259,935,136,308,943,543,379,302,282,781,250,268,211,282,886,
205,571,153,782,455,135,292,031,164,035,692,269,031,291,309,992,333,121,486,
088,135,012,598,533,015,244,619,100,513,708,510,460,231,987,665,686,651,415,
911,515,448,061,593,445,472,507,354,871,664,224,795,046,856,413,296,118,757,
577,144,503,959,843,791,813,443,428,391,466,328,751,900,381,327,050,826,717,
753,400,864,006,710,163,626,941,724,401,624,099,568,715,700,826,578,065,145,
593,182,804,726,228,745,842,095,725,229,662,750,905,007,933,445,079,868,792,
353,187,181,981,571,928,558,540,681,590,340,656,304,126,230,724,589,185,679,
347,283,554,591,482,197,161,800,094,511,006,486,300,150,160,265,695,629,581,
566,927,568,719,060,411,819,370,754,444,722,122,731,728,363,015,757,050,901,
696,063,557,430,077,702,554,473,921,541,617,927,052,295,728,329,708,944,618,
019,195,071,758,825,814,395,239,087,140,812,681,855,679,603,803,504,889,460,
204,438,686,451,099,609,032,555,934,791,875,210,959,913,684,209,560,761,485,
263,992,114,722,886,997,134,895,064,566,012,378,121,429,949,713,294,546,565,
461,719,124,762,355,254,007,530,306,175,898,371,760,892,117,630,972,763,320,
698,966,232,737,681,587,590,224,182,204,184,782,113,185,069,163,961,338,871,
352,103,982,403,904,429,565,371,446,319,661,116,553,943,560,262,486,139,671,
061,781,988,896,200,819,101,507,373,271,258,506,117,006,060,226,392,408,689,
268,567,710,096,217,525,867,578,229,012,653,261,143,067,593,855,414,635,684,
427,243,207,634,681,663,048,095,857,262,661,967,683,250,716,959,740,937,357,
104,241,116,971,472,410,128,601,394,947,847,408,254,902,374,690,721,448,540,
909,689,904,448,898,832,869,452,681,295,119,492,312,107,393,348,420,225,073,
248,831,323,827,603,755,047,378,547,981,834,401,759,985,541,765,990,050,236,
759,496,903,328,022,459,742,014,033,468,424,844,707,462,730,990,208,103,237,
750,803,354,557,087,482,160,820,957,949,612,310,066,567,383,280,771,446,163,
166,224,367,955,515,871,099,558,367,939,252,353,855,965,062,367,147,309,190,
114,075,686,721,312,203,147,474,688,216,568,508,363,602,371,873,539,378,990,
498,071,494,321,179,704,609,299,128,795,888,645,335,365,174,678,894,234,596,
089,795,947,033,003,323,133,890,502,472,187,749,804,374,495,173,779,492,359,
322,192,148,608,128,855,230,114,433,773,588,788,524,711,623,501,817,158,873,
874,666,519,417,187,596,541,547,548,829,520,818,242,040,395,486,449,516,513,
037,479,954,982,881,183,596,806,428,491,657,543,134,881,083,321,159,393,298,
365,817,893,302,367,747,457,752,306,550,806,797,704,854,900,376,803,293,136,
376,635,530,985,804,845,511,965,989,823,574,461,408,153,262,547,620,360,727,
980,859,268,537,196,969,619,983,361,246,197,223,932,145,833,155,165,685,380,
725,184,422,736,324,172,792,201,893,651,368,687,717,999,223,352,730,512,430,
930,356,214,707,357,112,557,348,020,693,691,743,345,796,177,798,067,850,777,
363,425,184,082,695,027,958,877,638,449,039,695,181,004,106,779,046,395,205,
016,923,968,642,020,396,973,659,368,855,942,958,433,843,200,031,489,592,337,
402,521,794,276,826,622,781,509,133,700,667,968,113,391,147,406,600,234,783,
110,308,825,269,955,811,830,748,901,443,619,263,161,459,281,332,570,222,798,
241,379,754,666,409,875,636,741,319,723,585,648,395,000,411,762,517,453,708,
796,099,387,168,017,187,642,026,174,696,000,424,553,000,538,047,417,311,579,
004,693,072,730,002,981,525,256,680,348,619,303,728,713,478,431,171,578,890,
367,226,774,337,990,666,815,544,399,853,854,875,378,950,883,530,613,867,831,
409,183,703,595,864,482,090,017,154,357,117,348,408,594,575,498,394,189,992,
869,016,916,131,160,723,125,017,740,182,181,588,856,893,163,757,490,746,583,
518,953,370,548,814,805,957,970,567,081,039,915,737,584,566,122,128,050,736,
594,342,547,294,757,100,275,777,877,262,667,330,757,793,449,464,265,346,340,
014,961,844,802,710,363,983,922,769,432,164,491,703,259,680,431,253,000,583,
652,880,367,870,283,419,881,015,933,867,028,178,810,611,506,807,534,246,401,
807,631,812,084,862,391,638,890,605,673,990,927,364,546,645,845,744,897,414,
045,879,642,802,881,840,689,502,049,349,656,882,923,956,110,796,873,394,919,
732,423,668,634,019,165,968,219,739,010,944,531,162,265,796,967,274,822,438,
792,669,760,489,926,427,592,850,456,337,529,560,952,103,480,908,620,532,013,
265,775,996,303,255,195,612,048,242,693,140,122,335,628,083,199,125,186,528,
281,054,228,074,905,822,137,433,156,416,607,080,570,001,345,607,534,484,046,
359,365,885,041,668,339,065,009,044,949,423,603,140,330,325,516,579,276,694,
061,181,342,885,109,617,228,923,374,517,678,045,942,379,943,695,368,480,976,
554,252,616,450,140,278,445,417,880,531,321,485,484,048,233,914,420,106,499,
731,652,667,275,494,580,940,492,382,073,621,356,127,192,870,674,055,733,337,
185,510,373,747,123,938,000,399,892,498,248,455,985,230,153,398,901,634,748,
446,174,798,728,879,852,042,812,079,103,242,274,875,248,146,262,515,385,675,
694,483,733,352,747,036,157,958,002,425,463,997,312,855,504,486,774,386,040,
090,748,876,728,071,107,130,443,637,237,867,120,664,213,161,563,102,962,031,
121,352,031,052,355,960,904,257,398,899,625,220,695,240,478,511,671,445,669,
789,805,579,800,536,911,904,041,811,304,272,151,794,817,812,768,277,285,684,
001,799,841,097,640,163,856,013,249,460,713,912,920,588,958,622,762,727,793,
248,896,493,965,770,655,580,870,341,530,235,290,208,039,926,621,236,670,856,
074,489,177,364,463,886,078,354,861,501,430,725,989,563,902,620,050,122,826,
587,770,802,524,500,821,407,592,632,742,872,769,011,946,162,298,042,969,524,
304,477,153,371,863,449,083,146,869,821,608,405,453,741,630,350,517,718,881,
896,067,275,030,612,562,562,582,939,555,867,454,418,141,361,652,390,639,506,
236,205,592,758,925,470,940,020,524,366,529,243,542,849,309,660,216,033,199,
050,246,139,156,864,498,565,272,810,106,846,448,307,813,795,609,553,586,041,
460,433,879,989,899,517,881,351,659,715,492,470,982,536,659,459,021,143,012,
764,324,436,188,118,310,973,181,163,722,475,494,167,039,035,731,783,426,534,
118,715,915,296,129,116,799,600,052,837,383,444,359,482,224,624,651,221,542,
224,230,743,356,042,275,742,593,203,128,405,415,672,765,840,533,199,012,395,
192,917,009,847,201,771,460,567,987,672,871,902,548,430,202,122,585,881,522,
963,263,855,891,638,512,801,699,638,437,694,587,377,050,047,401,649,667,001,
156,876,243,446,285,023,859,602,527,022,032,654,819,533,925,599,401,960,408,
806,463,151,854,649,846,927,959,455,797,621,995,718,984,980,923,614,491,097,
485,859,532,836,933,231,808,926,044,893,589,292,901,341,912,614,943,533,272,
350,830,340,167,643,030,776,790,670,733,544,826,720,019,969,417,471,376,867,
724,472,775,642,714,830,856,669,139,759,959,427,817,840,027,898,775,247,448,
861,619,953,545,969,205,593,111,891,044,664,072,879,750,582,837,235,936,424,
020,472,232,160,940,858,457,009,202,403,652,962,060,827,773,452,618,042,309,
409,425,650,035,027,027,217,015,263,163,831,038,164,509,575,346,157,015,264,
424,446,096,939,208,219,364,599,911,500,208,046,641,747,479,757,725,109,741,
007,262,228,847,405,809,797,914,158,775,539,954,077,092,452,567,826,719,352,
420,394,581,186,013,070,493,486,464,644,780,874,538,072,379,111,813,300,232,
825,959,767,811,317,580,877,721,725,558,094,745,749,493,718,876,413,463,120,
945,635,903,057,124,183,184,181,481,325,162,507,915,405,034,640,001,882,102,
079,200,402,839,741,090,583,679,075,771,364,713,075,122,440,942,936,664,665,
396,818,025,689,147,837,415,876,631,143,572,617,632,418,445,788,604,487,932,
884,305,871,241,214,657,636,447,887,549,887,224,613,471,638,855,957,707,252,
953,930,114,838,246,094,168,954,361,167,338,571,478,332,889,103,002,874,599,
493,439,100,561,264,201,044,672,765,419,168,120,540,116,207,651,691,800,015,
525,540,595,736,555,254,162,214,325,795,311,902,985,075,942,427,389,169,385,
434,328,773,895,849,656,317,662,214,283,412,029,337,088,449,825,239,321,357,
589,873,159,153,216,045,118,278,596,849,999,000,223,253,520,531,102,905,197,
605,765,900,368,757,976,501,026,584,355,336,838,860,930,195,179,959,527,173,
339,865,795,687,545,691,098,653,871,773,411,646,345,039,276,771,437,816,972,
795,702,573,246,190,681,415,252,330,091,314,446,105,762,733,664,902,450,491,
551,154,784,626,494,945,350,195,689,124,866,371,863,785,461,354,337,710,159,
831,609,467,083,373,946,949,595,634,857,489,529,171,537,659,197,066,974,840,
042,132,353,093,839,313,988,811,713,370,227,774,661,792,687,877,604,531,490,
379,680,417,793,117,762,498,565,126,868,495,702,969,570,698,657,787,183,892,
766,125,486,443,161,735,892,535,410,265,254,313,886,504,414,628,973,797,119,
552,853,945,024,128,581,310,772,128,200,202,246,546,210,310,262,453,003,517,
309,408,133,753,220,315,696,396,033,561,854,179,653,694,769,726,579,789,912,
110,356,831,181,158,912,293,816,136,136,563,036,399,729,236,316,961,814,758,
534,958,223,489,821,111,170,741,228,719,283,490,927,664,935,673,641,250,991,
227,196,654,554,088,628,188,333,025,540,926,682,343,354,666,198,576,730,980,
199,288,107,115,030,803,279,205,626,868,045,807,883,812,373,487,030,354,555,
101,068,494,845,236,601,677,150,159,727,816,763,587,270,357,515,730,552,460,
797,178,740,632,940,785,130,812,997,134,468,498,901,575,178,769,652,833,868,
922,477,976,076,258,007,337,660,384,789,892,948,806,450,409,026,348,562,914,
345,945,773,741,595,806,607,943,478,826,987,412,621,765,325,509,714,779,122,
127,920,173,378,007,760,885,504,793,081,350,552,380,588,140,115,926,017,495,
965,582,703,072,228,410,745,110,747,845,794,779,967,064,541,502,507,779,958,
150,413,370,330,992,731,428,412,755,715,336,492,257,833,077,487,087,145,792,
424,840,240,341,902,630,959,516,187,004,216,597,999,685,474,372,161,403,239,
678,269,444,803,267,811,517,844,336,246,819,368,549,712,412,796,225,676,154,
072,250,208,141,323,933,814,943,519,737,694,507,690,810,686,700,053,644,630,
525,022,400,621,902,317,066,028,742,566,185,666,183,892,261,921,990,675,935,
245,502,511,091,289,269,300,010,827,705,501,333,312,178,980,627,178,679,150,
227,819,993,245,869,219,005,560,848,021,883,595,951,102,410,994,401,277,420,
008,976,415,658,721,159,340,558,116,166,076,933,684,345,697,648,040,711,416,
678,403,743,356,231,571,266,682,206,313,656,792,117,185,037,035,101,382,623,
148,939,901,841,621,019,599,486,459,318,434,849,977,728,078,585,342,978,118,
737,896,784,811,369,415,202,092,362,353,509,455,059,812,895,643,893,385,977,
411,858,757,970,624,400,099,080,007,555,942,863,678,711,942,002,115,657,552,
333,415,413,567,076,607,105,958,468,444,140,882,734,219,478,656,909,308,882,
856,065,517,983,650,043,789,438,566,179,465,127,804,754,003,261,157,169,621,
963,542,591,954,280,061,457,655,133,856,947,554,723,305,688,923,177,912,159,
400,450,992,555,872,079,390,262,563,181,030,621,904,976,758,225,431,678,622,
036,431,442,980,866,087,244,704,774,073,503,143,735,364,976,039,123,453,298,
350,699,737,302,895,203,786,287,063,868,316,975,949,848,021,472,619,533,131,
907,453,094,106,773,038,023,226,736,968,163,697,285,558,448,174,619,431,772,
072,258,496,265,071,016,797,315,474,946,923,860,504,697,184,980,351,777,387,
060,935,668,790,965,471,123,135,664,360,926,081,728,698,590,435,333,059,971,
314,155,029,145,777,302,568,943,532,691,469,076,919,088,624,356,738,303,490,
094,145,383,336,276,732,118,415,303,881,576,494,436,990,104,645,566,674,407,
403,575,586,034,366,158,846,654,451,775,336,436,808,803,889,258,992,731,997,
792,563,797,275,161,280,965,442,416,044,946,358,550,507,239,264,787,653,710,
686,830,012,160,323,820,985,706,747,234,340,174,237,957,908,833,504,421,950,
224,808,300,094,761,272,488,032,822,960,675,727,685,044,495,636,512,725,534,
378,780,864,625,085,437,817,916,498,666,862,726,093,451,970,493,605,700,383,
071,849,084,248,786,957,864,977,202,371,042,638,728,452,233,191,128,905,332,
661,408,513,781,800,413,848,091,008,584,886,235,715,930,107,209,693,124,241,
494,283,540,564,806,174,114,537,242,147,445,627,409,722,982,823,753,694,136,
665,729,231,222,694,073,663,679,309,024,094,942,839,748,726,777,072,750,939,
894,805,944,791,666,340,608,476,457,292,628,710,261,539,089,672,575,742,872,
124,986,569,721,386,279,666,971,497,181,512,551,197,069,965,566,453,532,579,
014,824,405,704,794,511,775,139,724,358,754,631,489,932,653,819,218,797,878,
457,527,671,510,901,386,769,496,007,210,322,632,210,219,194,887,676,180,969,
470,794,776,714,871,573,162,335,749,765,672,196,399,356,939,049,857,023,032,
540,333,752,511,874,463,319,998,417,713,443,828,770,555,991,885,012,517,733,
840,389,351,534,236,260,550,175,615,321,966,079,283,038,400,586,284,554,105,
339,352,376,062,332,104,027,514,903,801,967,282,612,875,937,352,224,367,026,
261,061,059,871,664,064,030,698,022,996,729,348,330,175,899,821,602,391,582,
092,512,415,689,244,729,352,168,353,129,087,551,143,450,978,265,092,042,599,
722,909,836,396,555,137,478,057,848,531,024,465,397,893,545,355,427,424,008,
872,465,302,872,732,536,602,426,814,710,508,162,948,111,195,987,546,099,561,
109,001,506,884,485,589,595,822,857,982,091,990,585,781,577,817,615,663,753,
872,249,315,645,250,133,615,089,144,111,498,621,411,952,842,996,249,807,589,
342,294,423,926,120,965,387,814,542,839,694,548,385,323,474,227,239,009,634,
636,361,933,289,674,112,653,080,130,191,712,109,401,286,137,256,614,146,665,
731,338,442,403,657,684,550,410,914,631,908,700,028,854,460,456,536,694,419,
334,702,669,536,984,890,299,457,369,383,146,190,803,139,436,487,351,123,779,
979,259,056,053,502,662,571,951,447,346,734,872,834,465,293,743,180,551,612,
105,365,997,517,101,930,822,018,133,466,728,715,940,460,740,078,365,522,168,
464,082,874,834,869,707,866,051,766,661,696,840,322,827,541,720,385,793,179,
588,401,449,157,002,808,702,595,478,114,001,403,239,782,225,439,452,623,377,
928,768,079,040,689,519,609,033,658,353,892,996,743,839,008,768,140,848,649,
949,427,877,250,973,058,355,897,751,742,180,215,847,195,994,898,341,404,736,
160,179,093,432,431,858,237,829,425,345,165,547,174,861,190,625,221,940,830,
073,223,937,273,415,601,503,937,233,280,019,782,202,729,807,788,560,536,305,
121,133,740,495,682,001,912,143,971,937,732,506,967,080,679,345,401,186,399,
769,509,595,166,474,094,936,291,370,539,682,167,410,034,480,941,112,306,739,
090,357,286,924,223,475,901,990,482,256,283,145,479,478,223,618,586,439,280,
579,604,178,384,717,317,585,484,570,026,742,610,376,705,738,361,023,643,108,
967,007,843,468,534,944,368,867,661,822,416,707,687,007,696,862,289,031,904,
644,544,793,280,168,560,548,368,001,491,178,031,152,845,324,353,332,332,901,
401,670,853,769,619,292,301,158,133,944,546,266,358,023,452,752,031,471,866,
990,573,015,717,141,819,027,343,148,981,966,333,362,817,524,037,619,035,920,
078,381,747,830,785,148,369,156,714,717,442,509,064,141,079,596,376,830,057,
650,729,954,297,625,020,556,549,887,342,230,129,103,663,000,503,150,297,216,
583,140,034,492,005,975,137,880,484,016,279,173,319,016,991,220,560,383,659,
321,774,465,142,263,567,328,425,141,193,677,056,583,448,824,287,744,075,439,
883,215,544,813,850,474,941,752,329,343,594,301,373,006,786,065,389,276,591,
524,244,764,475,760,651,529,319,174,836,717,113,186,553,468,959,976,193,091,
397,342,584,403,182,744,923,314,997,187,546,681,381,774,231,902,935,409,413,
115,421,181,675,327,788,650,473,733,267,183,861,558,178,906,415,587,132,406,
594,965,486,091,525,937,355,165,319,651,318,726,768,932,206,998,437,129,808,
615,966,313,964,565,277,463,478,999,819,769,065,628,942,955,965,784,604,754,
116,326,529,871,384,697,164,590,393,295,596,642,983,528,837,003,398,249,016,
773,705,982,643,832,335,255,187,856,074,753,851,991,865,264,117,995,726,008,
348,415,076,344,641,138,266,946,541,533,921,697,017,913,944,923,456,199,555,
385,704,942,844,620,760,291,200,854,840,925,660,823,474,986,410,567,032,168,
789,179,202,326,144,504,203,821,261,961,205,992,432,796,112,886,779,718,038,
391,880,636,383,578,316,961,522,447,552,785,708,395,800,795,872,482,630,666,
037,682,571,910,068,929,625,666,797,944,028,878,442,571,865,024,200,087,171,
763,731,537,249,564,982,320,746,106,391,027,855,010,813,122,259,150,116,651,
778,685,018,459,739,456,116,569,306,066,029,551,373,517,317,590,115,394,203,
460,206,799,120,075,743,054,085,421,413,845,601,945,439,496,891,504,888,143,
635,752,198,767,727,804,500,950,476,622,709,178,112,629,364,033,747,346,352,
549,309,885,632,019,020,772,282,776,554,253,544,960,800,175,024,733,217,833,
523,266,685,553,171,612,786,643,680,036,584,000,105,985,075,581,909,253,668,
529,713,698,416,402,598,526,839,165,868,820,736,434,555,981,508,681,056,575,
401,886,551,711,303,555,883,317,227,995,423,652,896,720,116,529,570,625,850,
980,145,268,911,852,686,973,832,167,542,466,893,759,665,095,239,432,901,018,
667,417,903,827,354,338,961,376,779,189,799,672,166,148,690,756,676,537,987,
831,726,162,849,658,497,383,347,894,707,419,162,883,476,529,091,806,065,627,
528,416,705,090,964,480,140,100,693,780,605,480,639,782,338,409,719,951,770,
454,882,428,814,165,566,777,887,245,525,546,853,924,297,983,142,120,785,835,
663,983,868,007,932,781,998,996,352,943,448,157,819,050,400,317,723,841,458,
009,804,875,312,496,254,821,094,168,732,192,091,263,087,043,920,100,467,512,
734,778,280,251,028,098,268,533,261,241,858,675,159,471,463,116,785,737,926,
894,758,856,644,793,664,681,615,398,668,683,822,378,239,221,924,683,658,760,
892,175,496,944,336,957,788,784,704,348,002,722,252,275,510,303,573,250,085,
912,782,147,871,230,904,745,849,077,809,887,271,668,534,447,230,895,342,333,
948,514,407,065,764,615,585,200,528,353,567,731,204,422,937,907,217,582,345,
103,309,543,257,849,232,484,195,840,026,828,419,849,283,763,495,385,162,420,
341,794,799,222,092,941,440,887,180,032,883,905,646,221,149,682,870,050,657,
966,762,855,986,947,363,376,199,577,592,338,045,487,697,909,954,500,534,031,
932,585,525,162,439,261,616,910,434,473,194,115,293,481,191,543,595,514,276,
780,647,873,380,018,713,312,234,093,355,703,620,340,898,416,951,348,141,536,
027,831,311,032,985,995,576,385,408,423,214,291,238,221,880,597,907,914,792,
423,423,179,052,485,460,412,054,499,257,482,878,503,384,506,945,784,014,910,
647,225,599,008,488,691,650,433,131,235,397,280,375,263,484,941,117,948,123,
464,026,940,664,917,122,257,770,973,262,825,881,793,885,310,939,969,163,914,
373,760,262,232,730,081,150,246,976,100,362,802,185,338,721,493,740,967,235,
414,286,932,393,379,364,388,484,276,943,785,452,398,622,541,002,159,388,366,
819,183,058,620,426,631,520,339,535,167,931,683,791,469,287,405,229,334,535,
742,725,664,065,374,001,165,788,419,775,710,929,966,082,071,211,353,965,573,
205,027,634,570,071,827,629,972,470,249,896,260,491,798,140,528,032,410,145,
919,854,399,211,655,125,755,238,990,862,422,024,680,822,453,132,087,824,268,
388,196,184,273,366,568,952,046,062,512,599,196,450,087,472,827,834,190,921,
554,442,808,908,892,156,568,729,733,222,217,651,937,487,254,069,808,736,761,
429,475,215,844,558,729,514,900,728,297,404,887,566,327,763,836,219,038,672,
003,018,160,540,574,988,938,752,146,781,686,240,728,362,282,156,914,733,200,
176,950,001,157,457,060,098,100,925,468,358,570,629,442,578,630,458,739,496,
390,636,609,595,664,653,637,017,170,609,851,001,370,038,760,327,286,939,457,
962,269,207,742,474,077,910,857,838,200,623,490,276,811,564,129,289,818,935,
361,869,845,183,053,842,175,491,250,748,398,460,300,444,731,749,519,149,987,
843,718,592,341,981,226,918,292,513,568,054,241,508,432,029,286,691,671,716,
745,606,990,108,194,755,425,241,371,053,106,842,737,288,934,584,848,579,569,
863,865,861,374,803,352,602,156,837,650,913,089,083,630,414,972,140,557,799,
699,291,989,769,720,742,172,901,464,976,652,593,629,185,518,623,736,929,578,
551,593,875,457,335,992,185,414,308,464,752,061,653,852,491,784,621,847,923,
178,014,119,342,600,591,303,891,040,291,649,980,835,153,863,999,216,397,493,
919,323,714,067,074,710,079,812,087,637,770,358,528,343,381,042,664,457,519,
125,167,431,360,623,756,753,385,259,621,402,515,745,083,285,829,150,529,211,
642,061,713,707,265,566,820,263,152,944,345,269,593,518,204,031,614,808,372,
012,809,534,458,292,557,656,702,985,952,038,865,145,022,521,144,317,185,696,
275,960,806,305,077,052,724,347,252,564,877,937,136,626,525,462,249,215,925,
303,880,086,914,131,791,197,262,269,394,791,479,274,022,855,251,505,747,598,
004,490,043,730,201,405,306,292,860,234,553,935,647,311,560,377,566,642,874,
924,355,406,195,988,687,587,814,264,679,410,449,349,246,082,642,557,963,755,
555,948,959,565,880,906,153,731,027,458,924,356,593,289,364,408,419,824,777,
367,274,915,429,445,705,018,878,149,270,387,424,332,153,576,004,879,988,178,
605,103,539,880,644,711,267,512,132,231,363,840,061,572,810,622,015,924,616,
061,593,251,566,320,652,764,694,945,479,612,619,323,121,220,348,390,592,980,
973,482,289,663,180,726,783,342,170,103,259,189,604,592,070,788,983,526,408,
084,824,179,169,547,938,793,319,257,020,890,040,324,409,272,255,195,676,512,
268,923,121,261,596,889,331,163,047,494,226,353,090,016,470,530,394,493,788,
133,235,645,001,421,158,632,455,172,554,145,878,914,797,905,201,409,915,458,
390,302,633,660,269,345,142,464,382,366,074,080,436,494,087,724,831,481,266,
185,933,430,603,034,047,338,925,110,527,072,321,636,644,995,598,692,303,249,
871,784,552,720,645,484,665,588,293,457,017,617,294,128,347,851,446,860,965,
879,038,650,752,637,636,831,884,294,858,487,665,431,845,465,075,456,600,113,
635,348,631,915,101,750,814,793,661,402,034,560,884,099,671,954,254,827,273,
830,404,131,056,760,703,696,475,465,753,087,748,188,952,740,452,557,012,559,
056,298,153,278,116,274,023,506,844,022,399,244,812,626,315,717,713,207,594,
480,246,300,885,168,653,941,208,591,885,751,675,362,420,598,133,419,938,728,
103,976,483,055,913,688,815,418,580,255,009,202,954,058,743,534,075,348,875,
364,471,704,612,350,376,324,713,701,780,571,486,644,885,498,613,941,917,976,
249,507,348,269,118,559,083,107,761,411,259,696,901,446,136,520,305,563,329,
093,995,133,112,604,128,578,169,536,105,090,861,197,471,512,522,486,765,231,
623,368,415,153,812,777,543,563,468,997,170,984,346,962,310,636,189,458,367,
192,194,464,209,978,310,330,744,640,517,786,565,755,123,754,718,141,727,375,
842,227,124,281,064,170,034,663,450,697,161,424,613,401,018,019,406,390,444,
753,026,869,527,800,794,902,534,753,009,657,980,945,088,521,859,353,421,890,
589,948,286,240,981,413,697,025,064,068,827,366,846,223,045,286,380,537,077,
545,487,688,785,060,705,106,750,920,886,179,131,711,087,181,298,902,970,640,
706,452,391,502,297,926,886,692,845,195,612,163,452,197,666,854,607,131,369,
442,956,252,697,202,484,920,922,830,926,317,145,708,325,880,305,446,813,976,
406,694,035,616,278,999,265,133,535,640,626,143,348,128,237,485,547,183,858,
685,646,264,221,907,169,596,344,243,753,144,689,708,939,272,506,640,442,763,
950,931,453,366,668,285,055,153,404,228,411,336,645,184,147,358,218,202,316,
333,709,979,055,958,026,351,676,198,639,914,599,641,936,521,536,168,252,260,
294,703,674,606,899,607,074,897,529,415,655,690,477,768,355,304,783,398,899,
682,323,536,617,524,731,181,932,937,735,019,257,857,741,409,742,192,132,662,
263,134,140,999,029,471,438,187,261,297,562,439,149,779,496,990,697,625,256,
464,818,493,794,460,871,787,709,013,696,243,615,710,225,979,259,847,407,571,
230,432,021,599,452,158,967,408,473,391,755,414,031,619,606,674,863,887,301,
525,926,479,617,714,751,431,864,137,100,081,024,603,157,167,531,699,815,083,
757,330,560,852,068,281,742,546,754,821,730,085,007,879,035,228,513,426,108,
957,649,713,153,652,037,092,172,142,012,734,690,623,953,640,110,245,914,165,
606,388,110,055,732,697,800,489,493,191,155,749,645,993,031,140,175,964,348,
230,958,096,863,282,305,190,981,011,070,787,684,012,374,531,981,811,117,672,
626,528,710,778,962,351,166,722,316,311,275,282,031,229,297,466,906,457,504,
114,340,049,453,905,057,573,231,815,820,464,068,251,705,883,555,630,168,277,
842,478,450,069,061,761,776,114,722,135,479,546,018,903,209,896,205,004,637,
145,964,221,971,262,214,531,027,516,995,014,245,061,759,162,464,336,320,351,
880,972,448,252,170,362,053,616,408,291,721,834,697,542,588,881,663,494,955,
530,414,687,896,658,880,414,184,436,240,778,663,516,615,214,764,433,052,581,
634,480,366,481,143,055,142,578,851,202,454,740,242,468,400,651,632,624,380,
549,620,616,405,309,546,795,911,328,062,483,830,135,576,273,190,415,631,942,
766,081,574,177,880,067,917,392,450,009,689,645,071,397,731,476,623,039,879,
193,525,382,851,334,597,658,680,955,513,900,158,297,414,003,914,221,587,678,
096,121,565,324,631,294,635,743,342,411,647,832,718,291,428,084,922,388,520,
485,771,575,810,194,501,792,024,868,040,160,591,444,839,379,513,141,478,407,
626,581,935,035,395,206,744,945,788,168,572,147,029,178,678,060,874,040,385,
162,697,371,413,847,420,241,372,876,442,031,884,577,921,917,686,265,290,455,
138,846,306,447,045,081,490,602,609,286,506,810,079,142,564,106,141,417,721,
055,085,245,885,445,481,596,209,020,406,507,364,097,361,530,033,227,732,675,
853,353,094,203,969,266,304,777,278,668,153,416,912,071,792,842,714,619,447,
371,314,991,504,763,894,549,932,305,818,168,356,443,205,403,676,484,199,612,
890,602,666,888,896,738,289,865,658,518,195,114,105,081,500,603,956,348,570,
378,136,552,693,211,493,539,721,241,392,538,543,892,303,563,945,959,042,812,
552,083,277,297,939,790,524,878,399,570,035,795,385,234,759,389,729,453,272,
710,104,355,059,338,581,510,496,297,253,168,517,602,162,079,967,921,261,958,
240,259,677,395,844,544,163,957,636,111,479,348,010,122,915,393,942,126,855,
988,033,388,052,040,672,765,670,072,268,436,331,371,878,824,356,071,225,784,
815,182,431,503,894,993,163,748,513,744,362,790,634,098,261,342,078,396,809,
720,881,129,066,081,967,707,874,661,635,078,312,833,914,719,714,665,386,428,
786,413,357,692,901,808,348,062,421,070,894,195,455,567,939,506,302,290,888,
014,146,636,978,810,008,243,675,655,284,381,767,644,992,023,955,507,788,988,
958,205,989,310,083,482,736,599,825,162,765,610,786,001,380,494,088,095,080,
245,554,156,655,673,596,718,184,583,702,803,644,656,548,588,048,948,689,861,
558,674,205,394,375,644,314,502,735,156,183,654,494,186,393,428,143,007,854,
485,090,375,676,618,431,340,371,220,475,655,951,431,366,917,152,733,780,855,
038,935,163,508,705,504,467,029,458,582,267,634,464,764,728,930,214,024,695,
475,559,597,819,901,788,846,296,675,131,188,293,198,894,588,993,262,812,265,
786,711,713,313,403,400,393,287,774,825,182,840,762,671,319,863,317,895,332,
522,080,538,241,238,528,454,419,287,972,415,791,040,462,720,888,247,769,206,
035,669,401,918,221,987,783,154,560,416,551,438,304,643,255,029,683,728,000,
114,465,642,850,898,262,708,177,135,722,208,319,495,869,184,385,404,088,196,
707,025,877,465,521,750,621,618,768,819,798,394,720,791,935,142,178,357,989,
728,788,147,883,070,918,109,118,344,522,864,446,820,034,296,278,111,415,884,
233,881,604,208,871,991,302,801,239,223,396,023,297,757,110,935,234,721,104,
604,536,135,331,480,326,999,468,326,741,600,796,632,539,002,683,476,292,292,
668,050,290,761,823,670,351,429,889,619,684,531,521,754,444,337,442,524,911,
541,137,707,596,064,210,106,717,502,991,445,310,041,362,512,722,542,316,733,
717,399,516,851,182,992,764,093,556,135,958,115,478,958,638,100,728,968,935,
155,307,103,986,061,814,239,583,327,350,129,252,660,971,134,186,813,294,513,
080,857,074,588,150,635,341,241,687,607,913,054,294,804,152,490,943,324,514,
027,790,235,024,702,062,481,961,214,727,317,054,978,132,398,747,450,639,616,
125,002,610,044,727,649,025,205,630,917,865,570,853,462,324,842,987,577,554,
264,916,357,696,926,315,859,220,359,339,895,079,214,944,637,369,390,049,163,
706,470,459,047,381,312,547,309,299,183,364,351,569,356,099,144,018,108,460,
673,634,116,554,850,128,571,400,329,602,095,248,991,446,794,293,300,378,275,
904,780,123,266,733,830,060,932,198,753,613,180,313,186,973,477,528,980,211,
447,776,674,134,362,868,961,666,891,319,796,120,047,128,128,462,088,485,386,
165,910,750,477,571,773,212,215,592,140,835,846,301,163,045,744,669,379,890,
689,020,127,355,788,368,199,026,239,931,976,843,829,850,015,595,810,961,414,
916,091,977,676,789,431,932,767,510,749,809,699,725,932,604,617,765,015,215,
364,714,839,874,555,071,830,856,047,928,258,015,566,481,318,684,440,623,547,
024,735,161,891,853,278,303,547,659,881,927,895,692,169,283,520,475,506,327,
976,960,259,495,675,822,319,456,479,312,746,266,638,512,843,460,895,732,259,
910,420,658,892,061,710,492,518,391,204,318,210,270,697,387,381,280,652,553,
683,808,694,928,932,203,156,624,741,879,061,754,682,711,582,710,996,970,908,
293,524,602,349,246,372,565,526,151,427,784,051,346,523,664,554,828,128,663,
793,117,043,139,467,374,946,155,598,638,023,921,227,646,465,223,644,089,045,
858,626,031,851,914,858,112,045,913,314,379,457,095,862,639,306,811,426,157,
361,268,804,064,877,214,276,898,436,608,823,352,814,583,900,594,503,516,519,
345,856,362,699,706,235,015,268,641,511,780,051,293,640,983,135,353,622,548,
524,649,414,163,382,388,455,520,533,551,951,726,173,576,709,714,146,692,014,
828,447,503,070,793,305,630,632,242,775,619,429,745,554,953,768,156,972,968,
103,871,599,669,212,948,065,064,679,232,478,640,152,321,851,970,228,244,449,
395,064,908,222,982,256,993,243,418,802,549,094,451,016,311,478,087,425,460,
933,493,913,304,604,160,079,462,665,239,158,264,334,692,965,304,644,390,975,
418,139,010,243,367,653,120,782,439,768,344,717,649,990,937,604,878,693,203,
767,135,871,470,804,596,532,594,272,244,072,132,989,291,768,391,581,541,947,
801,978,464,744,284,975,677,842,975,455,376,269,460,443,871,979,475,544,104,
955,666,657,068,013,088,307,674,123,214,855,114,574,954,683,150,705,477,728,
703,784,691,941,252,303,730,682,803,486,081,007,885,239,147,801,419,873,352,
020,662,581,191,560,079,045,310,082,880,041,021,597,114,155,549,071,508,553,
142,192,201,074,387,450,416,442,396,700,363,412,289,736,734,416,727,909,310,
031,196,014,292,804,482,842,457,865,418,317,618,882,924,220,421,037,327,218,
257,513,297,761,298,487,708,224,887,308,487,803,527,778,916,068,809,051,373,
707,564,878,326,814,845,289,531,633,321,521,447,169,289,526,081,629,531,943,
715,372,013,066,546,527,288,838,088,120,130,164,326,701,142,172,210,025,618,
804,923,796,326,071,256,031,101,603,084,141,703,051,527,011,819,777,497,042,
750,732,562,965,038,031,815,714,646,281,857,123,807,677,970,541,014,511,437,
759,206,847,610,728,857,304,223,523,010,574,908,649,763,999,818,218,460,220,
810,496,395,566,262,563,976,235,496,251,114,651,414,087,889,497,467,390,999,
705,341,345,227,683,803,049,184,320,207,998,147,517,905,306,558,541,030,447,
509,821,411,509,533,627,873,796,873,769,472,168,887,482,472,264,312,656,302,
336,275,596,778,482,935,382,778,100,846,347,494,830,046,198,509,231,813,201,
887,823,828,093,657,889,292,100,100,532,457,672,487,568,899,467,373,068,887,
473,292,377,275,502,158,552,453,806,786,597,192,888,081,408,370,384,880,035,
843,666,170,944,011,677,410,543,388,599,400,056,103,729,195,314,945,063,097,
587,509,278,449,943,900,440,987,076,543,078,550,937,329,074,964,689,336,195,
652,235,122,213,707,198,952,406,805,228,301,149,632,145,335,315,342,561,683,
810,391,814,182,727,967,153,790,539,717,168,372,255,477,670,220,637,074,392,
864,255,238,614,162,411,156,774,466,752,875,136,770,026,656,024,588,788,603,
798,307,667,397,551,033,828,351,065,677,342,894,147,649,816,160,581,524,856,
459,326,367,424,854,391,188,868,113,693,218,939,676,223,734,065,960,662,780,
894,777,473,727,298,030,232,414,136,687,314,389,595,311,207,668,490,613,464,
008,310,840,882,694,139,565,620,585,359,463,536,908,509,371,332,869,531,754,
978,014,099,000,460,421,753,430,807,102,271,819,020,456,457,193,631,782,453,
992,285,095,354,774,505,662,563,066,047,989,804,135,912,194,947,924,000,276,
869,378,716,951,900,313,312,534,159,194,047,571,548,443,857,487,949,817,577,
068,403,816,085,145,246,858,319,314,342,884,037,787,341,079,089,010,754,121,
936,009,549,384,782,135,227,780,789,543,480,471,144,049,259,180,897,791,555,
841,211,995,292,243,272,764,654,382,819,758,860,552,228,058,284,478,760,288,
114,140,033,928,264,286,372,242,163,243,497,314,612,649,539,096,731,234,684,
992,260,711,235,657,701,413,885,293,210,783,134,327,223,007,821,146,555,064,
486,245,045,101,837,709,431,443,622,063,785,882,136,827,217,160,343,880,901,
124,998,241,181,904,888,415,614,093,015,319,639,020,010,605,327,489,565,748,
828,814,003,374,582,588,270,089,169,549,832,453,820,796,723,114,105,290,716,
576,802,295,116,358,899,471,311,782,971,755,467,641,708,269,298,942,297,877,
622,886,079,095,692,417,105,594,265,085,323,012,168,987,378,605,358,800,459,
292,832,464,799,875,062,145,762,299,160,046,743,772,228,734,672,942,724,974,
369,068,260,816,305,359,480,554,232,447,106,956,689,683,757,606,740,388,723,
832,435,199,617,656,132,538,465,581,878,441,171,531,550,329,335,184,666,580,
412,297,108,397,775,759,526,101,563,809,404,900,379,898,434,228,644,539,945,
010,657,547,125,285,248,144,431,662,372,334,615,941,203,679,372,440,385,912,
388,594,249,341,062,268,006,351,842,801,996,044,681,140,377,319,027,617,155,
614,498,691,142,416,094,957,934,533,006,057,869,233,540,712,315,338,476,007,
825,149,738,166,496,353,268,745,793,002,775,707,313,926,867,878,039,790,938,
625,701,764,734,088,358,874,430,824,361,819,199,835,006,221,808,697,958,832,
631,503,917,828,943,275,896,482,586,158,986,007,333,842,171,074,548,555,855,
830,208,912,891,343,895,551,735,173,587,196,495,212,451,069,285,719,075,365,
182,471,175,981,850,573,479,697,744,204,767,712,487,932,280,803,486,314,226,
300,212,840,847,531,961,066,470,621,009,252,455,887,455,874,560,124,267,010,
866,597,554,375,202,094,484,645,332,837,120,556,401,637,826,382,183,334,744,
205,407,940,151,413,253,798,592,086,108,432,736,807,365,236,174,784,556,636,
812,031,199,651,213,446,105,437,652,799,848,725,827,634,092,027,917,273,418,
397,799,445,693,186,047,680,379,202,131,241,987,393,190,373,838,901,263,115,
645,912,870,283,496,522,162,135,201,731,621,899,712,165,467,618,133,360,753,
412,902,999,682,788,018,135,647,813,039,464,021,779,321,767,797,450,874,917,
427,144,942,422,293,018,961,949,472,645,240,810,496,456,464,107,646,444,814,
719,961,795,013,500,200,897,497,520,545,851,453,118,422,308,792,112,809,599,
432,224,101,802,691,113,563,441,081,478,108,127,253,520,792,560,886,862,644,
521,667,282,477,964,887,220,014,967,912,452,346,338,467,384,226,175,740,004,
193,315,740,698,095,664,586,202,972,732,728,288,690,760,660,014,948,082,484,
197,524,084,993,517,671,614,630,092,144,656,129,765,472,857,590,465,732,395,
096,933,620,495,061,300,162,518,527,934,961,035,164,797,097,656,631,632,383,
153,976,765,975,437,164,425,783,752,050,648,203,557,897,690,315,097,405,366,
765,868,229,208,404,599,643,393,810,538,061,743,106,074,415,170,572,551,575,
509,548,917,257,420,369,691,153,013,325,699,078,682,618,428,332,518,209,201,
485,542,926,503,421,709,567,452,772,221,907,931,310,844,087,753,330,137,573,
251,643,296,403,333,641,215,437,457,259,342,425,382,194,642,571,952,063,834,
734,524,884,220,453,776,721,580,478,247,510,658,968,861,484,891,605,537,084,
165,774,924,858,867,638,803,775,355,517,786,992,334,444,111,002,702,866,913,
941,354,770,265,281,882,705,621,399,742,242,179,483,994,722,768,117,364,285,
716,756,880,620,968,336,346,470,743,801,620,822,632,719,086,589,218,397,275,
356,722,711,357,528,073,483,075,786,476,617,807,615,409,660,324,340,933,794,
264,905,220,699,089,496,053,290,925,728,473,716,303,827,201,303,048,708,619,
720,250,704,232,103,059,245,725,184,569,079,518,775,569,496,241,229,171,555,
903,428,252,764,993,611,341,475,162,438,028,443,935,943,909,752,228,466,651,
529,936,484,431,007,594,664,618,159,708,407,143,718,253,736,050,776,049,812,
712,963,995,014,916,934,257,059,203,978,094,453,170,342,170,271,438,251,183,
743,961,752,824,138,342,830,475,192,500,885,642,737,707,663,915,681,210,194,
091,780,948,388,860,293,088,306,948,637,417,653,844,927,406,221,048,801,726,
034,851,096,586,194,316,187,658,677,047,280,656,842,114,850,302,265,179,371,
848,868,194,535,855,906,204,401,539,975,835,665,162,312,374,284,894,802,308,
685,894,070,267,061,317,793,384,719,101,859,287,069,255,612,779,323,481,105,
779,714,466,184,694,636,176,707,526,340,623,892,804,103,107,249,885,823,046,
330,484,484,124,009,917,656,397,441,908,432,958,688,535,171,952,553,668,851,
007,931,134,792,087,682,261,417,196,194,628,552,383,943,249,825,442,809,552,
197,542,072,534,137,509,432,010,406,387,426,650,055,009,337,942,724,651,262,
885,135,103,198,560,573,373,350,777,519,661,564,850,189,724,893,195,475,307,
964,273,321,724,913,087,737,478,319,458,265,685,652,953,611,781,346,436,194,
723,116,922,877,945,877,105,826,041,397,168,312,536,607,423,112,832,470,965,
669,919,713,738,890,905,041,496,302,623,612,268,500,825,762,078,229,224,595,
156,978,833,970,502,862,104,157,903,908,004,315,058,972,518,880,069,779,197,
240,383,219,825,330,018,009,152,746,798,080,285,858,232,894,800,307,321,657,
670,547,213,813,986,609,178,204,200,472,961,717,560,767,330,541,653,226,611,
433,064,602,486,710,843,600,945,046,701,376,095,257,256,368,160,534,456,454,
128,314,187,771,325,881,502,810,668,037,879,580,094,386,636,844,202,268,126,
689,944,141,939,186,269,487,209,199,246,481,777,801,719,991,620,261,451,845,
846,101,701,561,106,714,638,069,234,596,762,287,296,280,927,033,529,968,634,
711,754,957,023,775,479,837,366,097,173,284,906,441,474,710,506,474,082,243,
591,235,874,425,150,552,225,992,189,514,271,044,934,481,497,992,460,429,754,
944,221,057,714,803,233,997,819,772,532,168,407,141,689,774,332,771,083,140,
507,507,282,335,666,077,416,227,112,249,161,046,105,354,832,674,722,599,986,
584,670,703,654,633,709,408,220,300,205,193,140,853,070,473,538,634,147,719,
060,445,289,344,772,485,155,753,138,955,909,337,815,965,146,353,853,324,734,
809,770,744,512,499,158,282,814,995,264,010,499,645,348,640,939,974,368,776,
814,781,013,288,494,395,054,357,437,188,007,578,686,025,153,291,240,484,428,
597,760,327,447,667,600,930,893,708,542,021,812,857,639,084,479,579,939,579,
395,232,471,730,459,519,043,350,292,211,001,661,545,662,430,824,222,811,184,
352,319,715,447,972,764,899,600,713,392,675,538,624,088,735,253,019,024,015,
956,613,404,243,484,936,354,500,729,399,341,054,282,075,305,841,189,871,254,
364,782,472,810,439,065,494,884,124,321,809,783,081,029,676,582,967,607,506,
678,369,329,609,656,770,302,124,060,895,152,835,585,510,873,669,089,931,825,
934,395,775,010,789,795,430,442,822,205,808,334,270,001,884,175,048,868,094,
754,667,876,346,940,107,995,394,570,598,723,740,788,275,970,280,833,553,276,
522,982,675,387,002,459,780,206,373,265,468,479,010,749,727,472,139,268,108,
977,179,757,787,946,619,389,608,564,925,504,692,893,231,520,994,058,056,227,
192,530,884,212,362,547,420,714,647,229,404,761,564,199,948,389,364,417,229,
345,570,388,860,880,558,454,756,418,483,129,054,313,875,846,235,281,656,896,
590,289,234,533,949,452,082,107,379,429,710,089,486,219,025,502,568,356,810,
461,952,162,128,672,097,175,255,069,618,871,782,937,296,648,154,869,099,378,
669,028,746,548,782,449,990,052,030,266,497,948,705,420,295,149,251,726,629,
353,679,737,932,220,184,046,452,293,573,429,457,993,483,095,703,286,206,979,
504,976,537,410,684,999,812,652,402,085,336,788,189,509,955,979,660,399,412,
524,982,039,464,789,099,234,151,581,601,539,785,451,016,099,738,636,973,500,
165,928,234,641,113,309,064,598,501,562,209,707,064,918,223,645,464,287,536,
373,010,238,135,502,327,361,473,797,780,162,100,857,848,031,102,314,483,171,
409,822,453,253,482,253,546,508,683,053,820,751,055,519,250,808,481,399,712,
207,507,418,572,880,365,088,927,312,485,815,723,757,273,959,611,073,930,867,
420,395,309,312,100,121,590,864,170,728,471,722,513,496,533,354,732,165,058,
913,379,498,602,858,922,902,016,756,617,844,379,139,377,064,698,804,632,077,
680,821,661,324,783,113,440,549,033,739,563,461,575,869,305,544,733,750,651,
475,307,719,390,122,065,484,033,217,063,247,058,242,949,372,166,936,276,096,
524,892,111,037,468,086,757,288,367,831,655,735,066,469,527,230,689,052,630,
005,247,549,824,398,600,366,729,961,406,066,765,911,146,586,043,152,211,731,
034,033,930,432,820,181,206,212,750,321,300,809,711,556,926,531,274,331,094,
704,057,283,205,355,358,953,192,457,740,806,999,655,388,502,220,941,203,707,
211,489,699,682,751,376,539,641,770,876,426,486,201,410,525,301,694,575,342,
951,097,529,849,972,712,110,084,478,459,455,196,837,558,144,223,784,333,215,
715,831,309,762,651,643,064,407,577,745,237,191,454,912,976,785,657,239,489,
836,225,392,671,446,391,480,102,335,422,503,483,710,122,192,552,866,776,622,
758,273,196,105,468,323,344,876,885,918,972,385,002,333,560,988,540,552,960,
255,266,530,058,083,020,853,432,785,161,126,081,870,265,121,376,778,556,281,
675,523,262,988,349,035,455,974,358,962,576,780,578,006,930,228,883,551,746,
025,265,529,425,473,371,423,530,112,168,166,974,853,315,806,777,841,664,954,
559,952,326,244,956,850,550,329,022,630,644,435,077,448,128,568,843,131,837,
254,469,532,594,020,020,034,733,127,439,182,866,425,066,233,266,468,022,824,
027,568,203,108,439,785,464,359,499,054,521,810,948,236,507,281,181,192,982,
091,115,502,335,740,315,199,971,720,532,960,043,410,667,356,403,151,245,866,
530,508,554,295,920,263,192,077,551,630,429,485,392,896,658,258,258,493,109,
373,783,575,488,750,820,041,976,117,027,305,196,149,058,378,919,683,253,854,
524,351,412,966,553,683,757,785,061,513,078,237,955,410,854,070,795,042,517,
994,318,079,650,598,152,596,075,423,325,978,214,340,140,036,646,389,717,237,
336,924,041,692,369,871,286,248,667,069,657,057,014,470,643,858,072,641,539,
995,840,628,281,767,434,666,781,136,196,298,990,628,837,346,994,341,288,879,
781,075,722,101,445,769,452,801,150,285,797,904,312,357,944,195,685,099,283,
955,543,390,314,716,225,246,891,620,012,210,333,191,177,082,177,543,441,796,
336,683,349,395,839,424,817,600,336,716,025,524,333,992,973,885,300,337,852,
333,336,243,112,312,010,056,841,897,596,148,123,770,279,643,888,491,467,088,
914,498,703,507,253,400,504,044,888,782,623,197,601,729,357,357,475,649,431,
497,015,664,944,485,697,886,751,826,963,314,877,528,286,317,459,145,873,794,
697,211,474,768,895,119,290,202,991,415,601,166,676,610,522,897,784,615,098,
990,997,617,204,840,425,608,705,833,355,097,655,233,618,639,700,643,326,815,
648,746,159,279,795,620,724,796,077,157,927,811,249,568,776,710,383,255,256,
693,554,673,975,790,387,594,599,735,722,748,888,757,628,333,151,389,864,402,
114,266,540,861,746,011,862,146,878,824,359,130,312,527,863,678,895,054,259,
050,006,033,933,688,289,899,946,195,037,074,108,818,367,271,697,804,513,778,
671,528,215,270,783,410,398,952,898,315,679,867,092,990,150,649,589,597,975,
459,796,125,655,367,815,957,150,254,345,732,327,512,574,309,422,786,107,967,
061,651,185,893,952,611,666,918,884,349,344,908,028,160,651,200,986,851,140,
201,280,554,279,016,332,482,530,555,230,300,028,685,981,717,891,170,760,425,
349,850,891,463,922,644,054,346,293,731,456,275,045,026,919,242,134,844,488,
450,531,244,340,868,079,694,061,666,037,447,351,083,318,407,658,720,781,918,
504,652,548,976,265,624,781,989,190,922,253,453,289,955,927,379,397,805,541,
395,631,103,171,300,952,709,465,975,181,203,664,199,781,212,961,536,031,018,
159,191,307,114,819,135,365,200,620,014,901,972,546,668,199,770,580,837,345,
135,954,919,589,536,962,259,413,552,011,821,444,616,625,039,999,855,989,689,
536,286,353,787,889,245,763,416,068,241,121,992,047,290,254,974,921,945,283,
577,683,166,736,856,326,486,378,220,188,576,822,333,356,358,800,234,445,439,
339,132,795,275,020,089,122,925,865,181,436,738,149,830,444,259,281,928,809,
198,476,170,778,260,983,430,604,170,844,646,337,109,847,815,685,197,933,726,
402,100,046,546,297,841,992,313,323,060,480,819,059,019,082,608,992,745,313,
268,950,770,326,708,484,746,958,727,065,622,598,369,756,158,487,872,538,948,
943,654,742,451,239,159,850,278,610,144,773,206,017,883,973,717,903,401,618,
930,201,554,115,398,302,802,488,166,089,015,455,135,188,778,212,913,385,322,
701,356,006,003,872,902,820,206,073,430,732,608,942,957,850,412,345,939,745,
654,953,782,459,092,492,723,138,808,537,401,802,962,748,734,350,364,749,325,
167,280,527,177,046,187,964,439,074,787,456,317,741,623,107,341,787,564,195,
993,906,765,122,365,908,210,929,211,769,715,985,435,043,263,259,086,006,021,
555,671,722,749,691,332,457,355,222,288,007,528,623,637,486,450,172,056,999,
988,268,937,964,872,124,839,725,256,980,935,646,061,124,875,494,701,328,263,
822,608,479,837,973,804,319,112,854,337,403,526,370,731,744,089,065,145,432,
683,548,116,156,256,249,753,920,975,387,961,117,902,497,388,053,560,514,900,
607,410,246,531,185,467,408,154,653,363,643,883,063,245,895,226,092,280,178,
191,082,401,187,979,652,034,589,343,595,881,293,271,849,738,220,978,473,349,
244,107,545,488,023,938,335,422,352,769,251,324,073,470,309,569,798,052,139,
566,644,918,145,249,239,983,419,989,458,629,663,845,594,145,151,501,458,423,
807,123,815,605,346,011,266,674,916,810,808,757,414,326,666,368,265,006,827,
146,272,263,177,421,052,785,859,468,343,672,103,881,561,025,349,428,525,780,
376,630,742,977,655,182,687,995,459,594,210,390,783,133,179,603,291,859,202,
909,773,955,383,161,339,754,562,936,035,618,557,747,019,185,501,087,426,610,
664,692,745,522,096,963,866,917,105,547,511,753,621,667,557,043,094,706,324,
975,900,339,245,727,667,524,659,107,863,303,177,178,320,056,932,709,691,489,
374,010,779,483,800,789,995,419,165,597,474,556,287,583,645,842,254,858,282,
590,972,358,508,998,984,371,623,349,099,198,600,091,515,344,288,764,858,231,
939,195,913,238,347,192,544,039,698,714,829,696,801,508,247,477,022,824,850,
161,898,432,173,492,848,926,636,196,891,528,490,195,611,361,676,629,764,496,
919,375,219,215,120,577,180,024,572,483,253,498,549,713,143,932,946,623,724,
818,811,113,085,579,319,400,993,718,201,892,803,378,294,613,856,728,785,383,
529,169,857,681,728,058,337,249,733,754,466,013,123,138,460,828,108,144,530,
843,684,371,893,659,119,687,511,711,630,990,739,128,244,504,835,234,351,622,
649,328,124,155,967,138,588,214,601,264,215,861,143,469,725,512,956,298,930,
904,956,210,060,482,249,703,690,835,002,353,799,650,909,198,196,214,545,701,
609,070,894,587,257,487,253,867,380,749,776,366,603,679,681,736,415,817,243,
766,438,095,686,299,691,056,319,368,072,672,761,185,990,371,518,275,937,000,
072,111,034,611,379,054,498,299,034,485,477,642,052,631,610,365,197,645,582,
109,260,613,741,339,616,155,675,859,388,335,627,500,913,278,030,270,661,412,
950,635,209,687,292,795,694,015,003,406,584,243,405,611,095,529,899,716,730,
974,608,837,805,503,089,351,171,830,692,243,520,402,338,300,588,517,409,814,
315,912,246,821,955,198,731,223,468,311,507,973,737,992,403,973,708,847,935,
436,181,983,388,197,662,858,701,005,284,432,560,002,123,171,404,801,117,811,
364,846,637,740,217,178,083,804,718,544,626,578,715,575,849,441,507,888,296,
044,257,473,211,661,647,330,323,260,923,712,490,901,705,967,002,291,526,084,
521,665,918,948,450,108,858,650,380,537,108,931,504,357,351,034,071,623,295,
237,645,918,766,494,312,616,041,431,743,735,398,011,509,975,883,086,962,557,
306,366,137,790,628,276,296,965,025,127,734,145,081,809,182,167,139,668,668,
182,818,379,571,060,651,115,255,071,781,333,269,341,419,684,041,028,870,911,
084,625,556,213,255,670,946,675,586,138,061,961,388,992,437,835,245,045,047,
691,631,049,799,513,066,082,985,628,171,508,775,463,230,624,829,151,965,065,
731,609,823,887,412,083,101,181,520,266,080,175,168,505,774,529,611,673,970,
089,909,321,904,857,692,162,917,349,949,684,015,415,236,474,082,724,034,175,
526,089,033,300,334,250,770,740,070,667,842,995,890,530,842,159,309,231,816,
834,606,626,255,484,344,538,646,551,612,913,958,753,451,784,959,853,175,530,
641,280,018,693,875,490,016,655,399,636,177,110,262,776,911,014,111,991,366,
073,993,597,975,218,667,044,732,486,222,325,139,499,772,983,429,278,518,602,
855,548,167,587,970,847,515,863,091,072,095,058,158,717,754,836,447,951,044,
307,057,790,277,393,915,914,344,573,298,875,348,264,644,401,171,832,642,787,
510,161,334,747,980,158,397,264,053,535,496,973,084,382,393,317,357,524,280,
222,372,591,668,300,523,623,754,920,808,995,355,312,241,985,278,677,512,445,
156,562,445,136,313,891,434,969,635,196,678,467,861,021,132,828,843,318,071,
102,669,926,979,952,049,281,034,335,675,926,886,147,684,290,492,589,188,593,
022,420,981,816,660,023,144,510,568,827,013,818,128,519,922,055,689,152,330,
288,323,280,446,832,102,940,115,895,544,303,313,471,140,337,649,957,534,381,
763,249,166,330,528,743,230,735,625,734,599,576,615,182,026,603,328,308,599,
367,864,666,576,384,169,152,071,767,125,782,825,374,992,931,626,118,216,968,
034,850,360,872,051,919,979,515,140,952,327,886,389,819,658,976,029,013,845,
027,991,925,812,480,167,634,811,942,023,003,076,042,973,926,453,333,954,882,
506,911,035,379,298,716,182,074,638,177,044,225,874,971,640,850,888,605,595,
311,784,134,140,556,162,041,561,582,084,905,533,808,885,738,060,164,978,463,
337,799,400,029,512,596,566,996,619,869,811,532,104,648,186,439,957,243,525,
662,120,003,426,413,720,844,011,555,432,884,765,043,311,966,346,393,730,671,
456,533,231,693,219,506,601,985,215,403,596,485,365,437,543,108,271,863,331,
709,668,992,074,586,710,569,561,656,692,626,576,638,060,481,447,302,054,788,
759,217,988,511,123,646,179,136,164,130,859,388,884,718,478,766,733,679,830,
983,956,155,351,088,829,538,601,753,899,790,985,311,522,861,243,232,458,360,
626,177,985,978,395,634,756,376,251,085,239,609,211,538,826,128,158,562,494,
565,390,507,745,077,180,832,625,760,730,694,939,711,829,242,716,569,100,061,
604,363,051,921,334,112,755,752,660,892,229,505,792,652,101,556,154,085,788,
235,474,691,954,412,443,524,582,326,136,837,408,134,486,372,786,433,322,659,
521,225,003,800,220,503,277,660,397,327,179,132,004,569,566,095,662,030,697,
177,454,715,272,131,409,777,631,973,700,089,045,147,184,237,668,736,762,462,
972,456,915,397,130,421,844,135,446,186,027,276,465,719,419,624,917,092,672,
740,732,513,236,360,790,127,277,977,838,150,667,214,127,721,850,425,549,517,
352,328,212,547,780,134,626,497,069,833,744,826,574,931,341,889,650,994,522,
314,178,295,814,018,518,949,842,416,263,299,458,088,841,720,559,451,578,885,
711,054,521,170,015,324,565,136,904,816,027,909,794,061,570,316,540,768,861,
422,196,622,606,700,231,930,556,907,217,480,963,816,526,143,409,271,128,452,
678,248,106,056,615,457,184,317,807,212,147,519,001,836,617,663,718,203,857,
760,208,131,623,728,979,161,898,320,620,841,312,197,816,306,741,426,964,110,
662,599,950,848,458,549,473,199,342,251,215,449,697,412,224,281,197,997,108,
655,454,975,939,925,087,025,667,245,535,808,459,803,313,996,406,319,190,707,
286,441,378,631,113,321,141,393,647,381,503,200,532,142,119,206,600,977,494,
811,427,252,517,513,251,190,450,389,651,140,824,941,053,317,528,416,133,632,
043,140,680,170,686,849,865,160,273,043,453,380,106,382,636,635,868,973,004,
043,500,466,060,693,718,148,693,772,434,153,317,391,637,808,600,966,492,782,
019,764,118,687,500,203,732,183,747,762,676,611,710,105,390,274,669,834,159,
865,527,357,633,774,574,872,501,321,659,084,440,463,870,057,010,403,275,414,
876,862,113,904,797,650,484,084,278,150,961,029,783,668,599,215,656,023,741,
509,380,490,426,480,253,649,229,422,744,268,646,121,304,337,145,310,104,384,
505,074,241,712,070,800,600,443,638,890,492,650,080,714,478,619,174,927,174,
885,724,673,502,821,370,217,813,357,610,278,287,891,383,475,886,354,160,679,
187,997,196,817,778,076,975,008,919,421,684,221,287,128,280,521,319,024,676,
679,785,440,528,651,356,329,361,970,750,558,186,328,450,594,185,440,589,332,
612,036,562,312,161,068,682,902,812,361,443,577,965,078,531,741,498,240,534,
417,267,983,401,826,197,627,821,584,775,892,845,212,000,464,792,873,498,909,
408,142,326,409,475,847,510,795,130,491,596,533,338,585,332,198,806,059,610,
515,745,999,700,540,683,489,395,152,010,231,926,231,942,024,245,720,589,868,
497,468,736,602,488,699,832,417,882,766,370,268,715,830,017,586,114,629,153,
246,545,731,856,945,369,558,446,171,574,984,587,164,302,679,019,977,466,415,
875,405,439,906,975,976,509,583,703,115,394,749,372,171,482,598,821,031,327,
480,230,923,093,602,645,585,101,206,478,098,606,830,150,209,854,938,352,846,
565,294,694,243,262,994,947,998,687,274,909,593,701,818,328,155,232,383,912,
435,648,034,553,036,334,942,010,291,786,176,556,705,413,217,735,946,056,893,
155,530,135,227,767,154,925,120,118,705,113,407,311,218,150,554,879,075,123,
303,506,472,339,097,179,628,309,891,550,669,926,233,397,886,966,278,620,758,
583,585,728,941,915,213,257,178,214,386,598,579,805,122,414,063,071,647,798,
412,422,335,655,649,363,157,627,281,819,885,784,552,702,019,701,161,672,946,
319,491,387,895,512,858,490,362,283,826,993,675,559,393,986,232,958,143,236,
226,945,204,535,848,401,503,132,729,824,570,247,296,649,819,517,675,002,458,
427,084,082,247,652,819,594,254,627,891,283,509,469,567,631,228,120,658,172,
440,684,678,649,400,263,000,380,823,244,278,998,178,408,284,554,169,781,059,
800,544,174,295,475,410,794,328,301,060,398,769,157,321,479,925,949,645,364,
248,403,030,520,644,698,297,361,363,521,096,490,099,011,447,545,696,917,416,
290,915,314,450,685,465,082,763,877,035,651,374,883,862,006,279,916,325,630,
120,349,650,498,537,318,773,956,880,553,395,423,567,984,151,739,239,212,756,
492,615,072,944,658,222,543,086,842,020,569,235,483,652,835,745,154,813,115,
048,247,060,687,709,108,882,081,939,258,028,439,543,010,885,989,065,519,637,
222,996,597,101,602,751,541,131,957,415,307,345,871,393,565,028,011,219,134,
561,874,151,389,744,083,048,488,125,434,292,017,631,286,563,973,959,677,575,
497,968,948,814,298,101,875,606,303,421,894,010,473,877,151,718,082,043,827,
064,607,832,570,834,140,791,001,668,405,987,233,615,319,186,123,786,135,776,
967,133,184,569,990,681,251,336,149,487,009,809,869,696,779,307,871,978,901,
287,950,278,218,447,787,349,091,248,486,350,702,423,933,251,350,929,180,613,
917,890,523,269,432,717,644,452,593,787,098,985,414,327,855,340,569,441,435,
399,755,558,925,716,198,063,960,983,060,741,373,098,363,004,604,363,380,875,
837,189,505,315,467,769,713,752,582,353,973,103,687,166,120,846,227,221,282,
343,523,515,206,993,539,311,994,741,743,569,198,048,158,554,160,571,635,572,
235,895,903,030,713,945,659,727,167,411,008,395,893,729,281,969,096,400,889,
842,798,982,042,659,233,609,927,492,236,179,837,514,270,513,331,400,011,579,
953,201,023,342,610,745,536,268,102,220,094,481,303,200,976,386,255,623,404,
625,008,352,284,914,084,923,240,814,732,804,430,304,000,217,746,833,139,919,
736,878,549,656,636,872,303,126,009,899,231,483,167,723,889,898,479,852,730,
823,392,509,344,801,276,086,644,772,723,174,556,604,604,681,050,650,854,856,
632,618,511,722,918,438,341,657,545,173,707,535,654,561,993,132,915,483,225,
314,030,897,927,115,602,312,455,702,462,384,096,809,524,899,964,356,930,946,
672,269,639,032,659,569,181,324,384,192,198,524,951,761,708,131,808,869,354,
432,142,886,712,478,524,738,876,235,601,907,286,823,510,815,348,458,196,889,
298,326,325,907,756,306,444,255,985,764,186,558,572,523,090,109,619,074,655,
417,297,062,190,669,651,863,771,268,031,245,011,107,424,625,861,073,944,365,
873,160,791,571,025,461,797,835,809,492,098,096,260,688,132,798,184,497,121,
799,266,330,740,170,730,992,568,445,788,639,597,838,061,381,031,571,672,369,
726,372,061,382,321,492,660,028,036,811,043,186,849,702,148,488,716,711,028,
414,618,443,573,707,088,867,318,922,027,160,699,478,326,875,331,282,063,503,
791,956,656,481,578,705,373,127,290,905,932,100,953,794,502,104,872,966,201,
304,842,802,795,157,619,449,374,312,144,371,578,951,949,202,756,421,110,781,
096,301,391,325,387,062,993,582,774,185,395,489,327,547,237,024,898,968,160,
308,731,275,549,130,565,426,461,378,800,953,232,993,969,672,735,053,390,476,
126,118,864,064,569,921,610,054,176,338,849,654,226,922,500,723,654,992,128,
463,641,641,081,370,475,293,411,896,740,855,264,723,149,664,267,804,072,784,
096,893,029,288,736,412,207,245,419,792,323,012,314,417,842,069,999,934,589,
640,906,582,549,064,421,278,067,207,987,313,486,880,856,404,483,614,071,223,
338,889,354,950,047,395,912,640,134,793,184,048,692,547,437,477,066,442,913,
540,117,215,519,254,607,368,646,839,814,607,794,832,503,964,133,370,391,343,
168,792,686,512,133,517,069,189,393,077,570,674,865,516,492,020,016,723,396,
498,281,417,562,829,633,616,406,817,758,891,632,139,948,230,796,184,952,475,
918,308,000,781,314,247,149,828,540,225,482,771,839,209,465,985,244,601,918,
115,219,328,870,540,183,903,100,815,739,149,157,760,462,230,080,465,198,936,
856,154,243,312,881,357,720,113,118,074,929,873,063,284,026,126,662,753,731,
222,555,724,478,637,255,854,127,346,343,293,383,524,420,647,108,213,405,013,
849,581,965,256,581,826,192,611,365,773,606,174,325,818,989,734,531,894,217,
244,895,445,041,785,204,532,764,133,714,313,618,733,857,555,076,694,517,825,
732,038,708,638,585,708,128,753,383,161,066,459,463,044,186,321,627,555,787,
330,567,455,417,943,279,989,096,617,016,257,688,465,882,798,886,994,704,833,
249,180,403,803,255,911,475,191,720,728,768,490,762,492,769,915,150,328,902,
711,935,661,451,188,101,118,463,646,729,626,087,912,491,288,450,926,431,892,
313,331,168,434,586,940,408,473,520,994,620,917,164,084,055,910,460,748,214,
081,362,781,503,271,504,524,041,089,578,249,860,501,099,988,534,293,544,720,
520,902,696,929,366,506,317,682,287,961,927,822,412,955,038,201,501,105,545,
942,137,392,017,636,117,498,809,892,204,634,005,387,946,719,534,194,250,084,
342,090,980,056,292,085,253,281,064,913,267,850,690,711,286,412,922,732,325,
821,855,658,489,457,535,008,042,703,069,152,903,675,506,798,980,339,265,522,
073,713,360,689,112,259,547,045,758,135,945,901,658,036,672,329,424,571,399,
576,085,163,152,509,788,412,310,883,909,978,580,987,778,886,691,996,164,820,
958,692,537,123,055,286,991,141,755,544,176,650,990,359,824,821,168,276,177,
709,261,511,014,489,034,485,537,032,876,206,897,167,247,537,502,037,399,515,
199,336,936,168,288,906,059,550,194,654,965,288,036,873,788,323,045,876,765,
873,290,880,916,921,473,225,946,033,114,740,148,107,869,974,517,063,095,151,
355,508,947,580,881,772,897,037,890,200,317,145,916,325,061,341,983,739,688,
230,612,992,450,470,387,658,014,617,867,683,221,460,859,682,906,367,991,551,
649,822,446,182,929,242,822,736,806,052,380,953,776,184,698,710,927,160,316,
308,946,949,696,346,364,331,536,713,767,393,253,562,582,200,646,393,683,766,
604,031,872,271,157,952,143,887,615,661,986,077,780,808,824,257,241,959,054,
337,116,645,195,395,759,268,870,866,692,801,979,126,455,037,494,984,782,630,
669,962,436,791,298,139,402,476,004,896,423,615,402,655,263,172,168,800,775,
043,256,852,681,183,540,658,687,929,705,988,211,688,170,805,182,988,988,488,
374,736,178,369,500,567,242,396,025,129,569,508,520,927,859,598,293,133,162,
228,271,386,712,228,701,189,822,206,669,334,235,944,959,887,221,458,296,062,
068,469,934,293,809,198,896,668,639,314,940,225,600,338,755,139,501,144,976,
095,062,079,776,148,240,899,070,429,705,439,147,310,098,401,991,460,262,663,
760,888,409,843,810,626,202,628,427,758,341,960,248,931,054,937,006,834,085,
515,687,099,570,601,042,859,152,120,733,538,051,733,384,625,366,729,297,947,
017,445,977,713,629,752,898,652,020,428,649,961,797,336,210,582,670,716,388,
621,669,305,225,025,204,663,849,511,952,110,627,871,486,013,740,196,495,874,
135,262,150,693,758,665,475,484,932,831,173,081,970,096,767,350,272,183,726,
107,367,976,497,317,535,665,661,719,867,881,009,965,462,812,498,813,581,722,
088,352,220,653,461,250,629,678,578,170,262,376,399,168,785,708,229,391,819,
282,745,017,331,677,092,633,875,565,783,428,655,513,464,311,159,196,545,536,
823,689,785,868,937,073,094,262,476,103,526,601,965,641,517,956,581,532,550,
260,396,281,288,100,812,158,194,628,833,947,313,260,089,676,479,052,629,427,
477,358,672,532,885,843,142,951,232,443,153,041,551,581,885,831,513,592,395,
826,097,504,572,410,609,961,148,288,532,427,860,515,728,915,369,908,648,262,
198,329,133,084,245,021,762,086,946,389,830,744,555,786,579,619,358,849,139,
080,614,527,201,052,442,243,768,994,398,872,176,970,394,114,907,630,900,386,
311,258,817,901,201,310,056,939,429,457,240,556,201,145,630,404,664,827,506,
089,519,560,022,402,288,052,003,089,170,920,846,489,534,411,257,121,591,749,
583,550,773,505,061,412,500,932,588,073,745,689,442,987,923,360,844,352,650,
699,994,475,065,396,627,324,688,351,686,178,074,357,106,612,709,455,180,587,
653,571,490,652,658,274,306,480,865,852,322,345,996,750,291,868,707,627,957,
324,319,297,000,073,910,885,846,355,656,572,335,174,585,340,303,848,217,656,
869,582,221,697,981,469,565,549,353,879,796,951,619,358,385,705,823,981,034,
352,753,006,092,285,861,870,079,542,448,193,728,833,884,629,422,086,465,908,
799,186,976,348,127,580,061,999,393,757,194,234,798,854,290,580,164,957,163,
489,102,077,736,423,511,421,076,284,358,141,933,825,780,654,008,516,698,743,
797,141,016,719,294,830,283,359,431,347,022,014,307,505,905,772,440,224,410,
532,041,744,200,394,105,421,871,170,132,150,285,626,903,924,553,566,585,141,
685,784,295,840,285,849,627,748,653,839,469,520,381,939,373,495,846,658,704,
751,935,725,710,757,222,382,059,924,446,582,789,330,385,485,081,997,243,266,
955,498,008,044,870,005,856,714,464,488,421,066,724,206,427,141,851,969,653,
405,839,288,125,605,188,102,020,258,837,393,659,921,403,958,924,242,665,368,
665,584,863,922,200,182,018,729,969,629,493,639,809,981,180,423,713,430,201,
007,738,197,738,427,992,644,188,646,895,644,948,624,274,575,320,694,142,402,
376,700,219,698,119,728,188,576,558,925,353,081,194,228,231,843,533,748,191,
760,018,344,092,607,827,922,288,373,479,155,250,348,655,963,086,606,177,683,
971,740,827,351,579,568,994,783,127,799,056,015,023,828,770,941,851,034,877,
227,818,325,374,297,259,092,270,956,009,896,416,811,067,289,254,792,479,561,
862,714,028,427,520,789,397,744,893,039,024,880,109,462,986,025,180,237,542,
971,264,374,679,647,181,027,156,033,000,787,778,023,612,962,348,187,052,358,
679,388,192,648,339,891,612,960,938,495,378,815,716,598,813,693,992,870,984,
692,161,633,503,121,098,853,514,556,843,016,400,814,980,435,825,062,778,842,
408,888,191,325,382,567,857,188,237,454,256,416,767,188,461,285,354,581,974,
836,771,674,618,074,627,680,758,022,333,807,778,827,021,634,902,240,769,276,
773,663,055,769,060,201,068,441,068,351,914,183,697,694,113,002,471,484,128,
062,470,704,769,799,452,647,283,939,109,767,239,398,900,580,491,857,730,168,
576,114,008,963,906,010,706,507,869,670,746,951,484,065,011,272,454,017,873,
933,010,653,848,139,346,973,154,700,773,996,156,195,127,169,176,140,490,327,
131,734,579,617,000,393,037,315,441,298,998,450,013,788,189,934,690,181,482,
103,763,896,927,590,186,312,391,961,751,852,912,402,135,406,607,186,062,505,
289,698,786,234,102,333,680,242,836,674,220,664,386,508,146,648,093,068,889,
980,844,316,644,110,826,932,396,918,112,876,705,146,752,809,527,412,803,204,
309,000,681,840,141,679,825,007,964,396,420,473,020,744,443,179,754,325,316,
337,123,696,838,655,244,852,856,135,164,287,723,828,493,560,787,438,938,445,
712,540,591,969,689,317,957,174,019,451,842,054,808,506,445,538,556,494,844,
306,000,619,291,995,611,830,695,114,697,038,546,416,129,578,412,109,186,915,
178,262,750,158,522,214,805,492,973,812,819,311,675,686,554,544,179,043,954,
983,047,233,928,385,088,990,838,866,338,759,223,171,241,116,303,550,300,173,
455,836,233,068,832,306,379,225,983,691,079,346,292,256,677,803,380,719,929,
169,826,767,536,215,875,306,819,229,648,382,280,077,677,165,742,325,867,276,
715,069,166,839,354,478,086,056,953,813,702,488,959,023,411,085,075,494,894,
773,049,774,026,280,577,046,192,118,175,245,419,988,093,475,168,985,745,329,
300,800,416,417,513,269,063,294,260,507,780,402,962,758,725,603,836,338,074,
535,640,713,202,936,393,094,018,268,317,780,074,975,010,794,482,857,438,563,
900,969,697,307,777,497,512,608,170,693,817,756,422,188,584,660,637,591,866,
781,387,161,520,975,972,796,542,030,842,175,689,576,461,630,310,868,574,187,
996,876,797,569,481,334,658,112,821,687,427,341,643,350,525,648,578,982,337,
430,279,825,602,458,526,430,991,596,742,886,909,636,248,249,369,075,714,235,
216,166,385,688,908,938,744,783,401,465,586,710,712,806,634,913,869,776,583,
111,539,446,128,990,971,132,423,420,938,753,292,288,216,702,204,285,384,786,
875,083,022,574,000,277,425,035,715,069,218,473,485,804,350,420,916,851,273,
414,481,988,752,782,215,771,805,470,692,695,451,927,596,082,620,045,267,313,
864,235,126,102,229,081,124,329,755,370,686,707,594,631,009,937,721,797,605,
921,657,692,914,050,665,283,098,690,390,176,683,899,271,788,163,890,912,068,
518,786,925,762,574,480,442,272,372,268,741,207,398,089,493,304,873,953,851,
037,887,173,759,530,940,486,627,630,468,640,493,667,042,829,512,198,290,295,
956,972,812,110,325,962,446,046,814,488,609,382,506,203,274,079,480,974,011,
403,060,232,656,980,847,095,384,667,448,650,170,976,092,072,406,378,280,066,
410,872,557,741,937,953,299,174,160,168,693,214,052,214,712,914,885,354,518,
058,603,457,769,936,070,453,555,620,994,784,072,801,348,145,980,804,152,988,
921,437,708,626,468,707,183,238,904,870,481,371,309,838,123,923,936,436,788,
090,470,482,968,381,833,447,439,484,329,886,485,309,894,167,697,254,031,843,
835,684,469,493,640,016,969,001,272,981,810,091,287,830,491,274,535,851,382,
427,760,725,567,079,394,433,046,000,545,159,964,940,391,846,938,461,093,000,
662,874,915,960,124,046,771,429,210,610,974,584,744,996,285,187,016,470,277,
121,026,626,713,376,111,389,488,579,226,071,602,049,123,859,038,091,546,636,
796,258,573,955,062,113,920,469,218,649,242,660,783,212,993,197,958,454,022,
748,122,426,780,546,864,903,886,946,646,320,438,472,123,918,167,891,224,205,
705,219,100,413,187,597,838,334,058,409,291,100,299,226,858,878,721,749,010,
102,071,923,308,447,564,378,462,858,336,055,189,940,511,459,718,096,720,614,
083,149,251,492,259,494,917,431,959,069,280,939,986,889,084,731,880,121,343,
809,801,901,417,935,854,809,808,779,996,613,266,297,733,383,244,101,046,228,
747,576,159,852,620,190,858,623,100,431,690,955,832,514,568,860,202,902,634,
431,581,973,830,855,693,631,148,903,212,894,990,368,059,142,150,928,397,202,
703,357,554,531,381,529,304,578,240,719,888,360,285,280,550,873,501,071,159,
889,979,705,775,882,662,516,258,358,854,524,179,518,354,358,728,038,377,190,
285,669,736,550,347,204,941,372,456,310,250,591,268,675,504,431,626,386,811,
634,562,416,729,436,328,245,146,097,534,969,527,487,766,227,893,807,034,009,
390,953,378,657,041,975,134,309,750,715,078,232,768,485,717,803,207,016,771,
429,682,882,653,907,558,083,441,124,360,645,198,051,030,461,654,030,703,290,
110,853,894,699,861,387,814,078,508,833,522,047,853,923,139,102,038,395,832,
603,135,837,559,292,954,279,380,963,124,339,618,298,804,750,952,761,544,731,
003,462,552,739,620,964,799,817,873,493,475,326,585,271,366,923,794,087,478,
267,824,561,575,497,713,989,693,117,850,404,701,843,101,019,931,166,311,338,
988,333,879,982,187,371,063,501,949,276,076,400,400,100,181,530,490,768,973,
558,284,767,653,854,109,204,638,732,551,046,729,235,546,821,411,797,191,226,
681,832,512,286,948,583,490,260,405,311,551,586,122,204,099,434,987,546,107,
730,842,181,748,466,797,598,628,279,789,107,835,724,638,233,803,414,496,814,
220,023,656,623,692,764,051,720,856,598,564,071,668,157,724,407,536,262,019,
187,029,715,658,741,133,988,140,439,716,113,995,837,402,569,075,321,216,391,
446,510,187,114,205,637,931,517,747,121,382,468,134,552,712,610,729,662,401,
190,936,218,962,865,840,729,270,314,478,856,401,388,082,184,957,152,360,794,
559,198,671,375,649,872,753,009,328,361,232,049,818,348,474,137,629,682,385,
040,474,842,147,380,043,261,596,394,300,247,709,002,260,935,449,036,482,285,
346,615,292,034,761,466,487,605,537,408,350,474,700,668,475,461,496,241,499,
050,163,902,648,589,946,098,879,323,637,059,762,209,982,928,179,049,014,342,
326,074,067,997,530,848,387,291,431,411,482,398,242,790,096,577,558,685,950,
334,414,439,385,760,800,345,786,972,500,042,188,538,059,672,561,800,955,259,
107,688,150,128,041,105,139,287,386,608,017,866,516,940,780,704,877,676,932,
688,422,803,566,839,175,735,412,699,839,777,592,909,293,664,058,342,924,200,
430,597,035,606,158,393,074,820,678,152,800,549,819,595,280,744,062,505,990,
684,991,788,446,163,266,154,617,885,525,685,905,257,879,823,035,299,067,589,
443,986,815,264,959,340,049,875,077,197,830,925,511,080,663,255,557,315,850,
922,900,248,737,498,300,729,188,043,196,177,293,929,404,014,085,406,335,907,
051,563,432,452,194,394,496,927,399,873,757,832,977,929,136,044,004,475,877,
345,203,713,337,856,809,539,734,218,134,124,445,816,973,912,087,275,896,522,
472,171,392,354,264,710,487,453,674,256,804,853,723,930,797,165,899,122,534,
764,419,500,450,901,916,698,470,148,555,912,052,066,027,264,518,656,073,995,
813,025,227,489,280,605,560,040,825,395,842,498,680,361,074,768,614,489,073,
067,923,140,989,360,743,112,948,115,984,489,318,791,006,710,744,813,505,303,
352,026,477,899,948,765,934,532,109,875,424,210,282,669,604,588,523,586,182,
580,794,765,269,301,070,971,436,819,263,480,369,963,221,742,508,448,497,116,
222,895,771,652,243,829,834,210,885,722,057,095,373,094,296,849,824,683,928,
494,970,525,879,013,307,762,907,680,145,718,888,672,665,040,959,128,468,611,
816,538,720,024,110,474,761,000,472,479,533,715,738,648,377,010,968,661,873,
089,593,727,485,152,035,445,074,851,701,831,211,467,332,936,087,527,998,038,
704,616,397,395,565,413,186,772,622,717,450,570,349,783,173,808,871,814,149,
090,777,226,167,836,134,329,839,472,667,362,837,338,031,470,959,910,586,466,
018,013,796,709,839,961,465,038,232,237,277,460,060,443,449,884,856,839,164,
085,666,979,125,091,735,861,928,175,706,094,691,830,433,529,718,175,926,449,
837,657,786,782,304,080,407,427,280,704,562,497,395,033,935,317,227,632,245,
813,507,659,852,266,755,860,650,162,105,407,675,459,608,803,511,987,493,902,
425,524,101,562,154,465,674,339,550,906,866,942,360,667,290,392,681,460,495,
569,910,873,024,553,275,844,677,975,767,470,902,432,394,786,650,560,379,537,
755,988,414,634,086,597,850,313,081,463,647,595,242,181,365,950,707,273,610,
315,215,014,491,271,798,195,135,980,910,518,624,631,300,285,560,126,232,836,
786,276,880,042,857,835,751,877,120,189,629,795,078,227,269,131,994,168,812,
002,762,753,130,605,846,440,854,013,712,677,704,946,428,855,695,009,427,450,
725,736,631,778,498,329,443,590,577,535,893,284,164,225,647,608,349,480,169,
073,618,282,896,317,707,986,983,105,409,108,777,012,794,915,556,815,702,396,
755,264,823,941,141,181,645,993,116,308,982,134,235,988,026,674,890,987,501,
954,661,429,878,784,456,365,379,087,896,530,994,940,102,573,084,310,999,007,
710,054,357,058,077,029,822,694,157,082,460,128,678,845,031,206,126,452,590,
705,866,794,474,885,161,729,086,090,777,310,038,181,557,049,944,216,105,176,
600,901,662,726,268,700,475,197,276,932,104,251,551,464,860,445,342,641,217,
518,598,582,861,374,702,408,830,181,835,589,621,144,741,475,214,634,341,530,
339,105,189,531,790,471,066,388,535,625,648,533,396,974,062,252,458,172,298,
008,400,629,792,274,654,504,514,652,067,022,950,897,869,090,508,492,819,784,
367,578,076,002,505,832,043,957,701,720,155,631,031,004,089,024,841,612,054,
846,012,570,157,018,933,955,848,729,017,336,830,476,590,893,498,533,379,422,
443,310,211,556,429,084,812,088,635,159,357,395,201,815,727,895,681,548,874,
495,828,553,426,825,308,226,486,771,525,311,909,553,445,302,114,307,433,038,
943,145,674,846,699,498,822,200,343,330,824,908,983,618,279,166,250,846,602,
619,375,204,265,777,247,403,888,347,916,281,192,117,608,071,141,320,347,473,
142,471,187,116,792,435,178,432,072,713,015,208,997,006,755,134,705,142,820,
186,910,119,409,509,471,843,548,081,540,622,873,563,950,628,199,042,607,250,
662,076,653,453,925,760,547,996,713,830,165,849,318,779,652,925,689,625,138,
533,413,210,783,731,084,173,736,885,306,985,459,023,587,110,925,700,560,810,
649,442,958,290,815,760,373,568,286,215,306,971,853,557,948,895,133,073,334,
852,318,158,327,104,057,506,439,180,000,088,197,949,738,552,447,738,985,823,
154,813,845,255,089,253,181,579,270,185,200,188,590,406,279,630,158,957,193,
714,509,983,326,832,890,080,929,478,082,720,472,212,733,376,766,177,384,785,
091,223,444,695,453,378,151,865,826,821,217,691,119,477,009,310,764,381,862,
023,842,325,578,492,535,595,211,413,037,795,210,007,525,182,710,091,199,378,
939,688,415,097,679,290,466,389,063,371,643,875,951,138,772,507,203,274,695,
115,611,102,331,415,352,655,291,147,940,749,383,507,288,574,281,844,447,392,
513,694,062,939,413,937,609,814,611,447,456,718,165,907,343,724,925,433,730,
950,640,232,898,410,371,918,389,404,488,027,431,355,303,828,003,996,446,848,
881,694,751,093,765,506,142,449,622,596,031,933,539,605,970,583,188,625,873,
754,594,234,965,359,046,420,313,216,144,517,528,637,212,772,227,073,296,745,
708,557,117,627,269,147,494,151,413,831,143,818,787,539,334,087,534,794,662,
681,974,046,919,888,612,763,754,671,432,276,936,461,957,221,602,303,717,383,
398,551,122,858,827,524,465,621,343,844,398,597,447,634,879,144,066,371,433,
077,864,107,457,258,291,245,612,802,480,567,729,916,800,815,980,712,790,613,
594,561,021,021,201,546,246,956,988,620,459,661,911,864,890,701,265,341,405,
863,928,847,637,571,574,066,324,814,015,331,045,747,532,294,191,892,801,765,
245,375,650,025,214,937,376,592,555,367,663,521,516,400,250,141,520,957,318,
897,752,222,645,198,731,400,909,607,291,613,087,744,466,487,150,038,804,619,
791,555,937,387,749,393,224,208,278,291,046,909,963,819,797,717,509,495,390,
334,771,134,980,866,431,323,013,377,483,073,781,486,188,540,673,747,286,657,
472,152,163,774,077,989,979,269,564,069,494,976,999,270,550,479,172,780,871,
695,981,943,793,839,132,687,393,943,867,823,396,607,260,403,780,645,263,087,
481,528,463,916,175,452,895,688,469,979,997,609,294,427,972,152,247,327,515,
921,789,057,020,068,982,200,738,579,919,206,240,527,916,528,288,314,344,584,
750,584,807,141,253,914,802,514,066,690,247,397,633,677,392,193,795,481,923,
786,564,269,702,070,903,381,165,341,986,957,507,504,416,485,524,060,108,671,
946,090,718,197,028,319,311,878,070,137,961,863,141,211,872,098,035,487,016,
982,564,365,147,792,962,020,944,577,489,720,547,260,767,825,500,849,854,065,
619,391,031,735,922,310,959,544,896,385,886,071,495,179,202,104,208,851,697,
781,817,668,014,682,160,165,554,596,869,120,709,677,329,123,201,450,098,692,
652,088,083,227,379,315,424,030,885,034,711,589,037,680,424,519,892,694,300,
244,364,930,993,045,679,926,766,898,678,431,414,787,087,298,890,650,388,594,
964,487,182,329,608,766,646,708,223,925,481,613,782,190,040,023,454,475,236,
637,563,325,847,254,373,299,174,712,386,343,156,673,515,462,676,330,954,443,
082,640,550,670,245,826,115,251,537,555,945,646,025,363,211,176,218,816,875,
604,173,012,065,923,332,288,339,645,328,896,454,932,734,171,110,517,006,529,
634,883,558,097,576,723,034,293,652,015,258,515,801,534,039,341,170,747,453,
536,729,275,194,057,986,394,034,423,590,039,465,834,321,070,900,096,863,799,
167,468,376,270,942,232,991,527,253,382,559,056,652,218,838,633,201,468,388,
328,646,797,323,285,282,889,241,755,316,422,144,218,089,035,799,746,446,584,
442,719,783,214,500,588,655,228,350,650,432,650,877,797,534,468,843,985,834,
665,327,951,816,767,114,131,408,599,273,423,416,647,431,088,930,018,927,423,
729,953,006,619,954,006,411,613,944,595,237,010,768,625,366,409,749,211,260,
952,708,706,261,046,806,474,849,671,599,982,257,189,317,434,816,262,999,092,
306,135,845,557,173,058,845,497,475,526,262,394,739,019,677,772,344,793,050,
385,647,496,708,431,169,889,832,032,515,703,803,023,265,459,873,425,081,537,
225,116,226,992,937,312,984,778,754,407,007,525,671,578,493,998,234,824,122,
090,560,486,700,521,353,054,110,223,084,657,396,293,197,502,139,397,311,537,
874,026,552,039,655,372,442,641,300,248,497,672,511,566,892,865,301,578,267,
469,322,605,716,916,487,979,016,755,862,453,614,750,650,672,801,358,702,439,
836,264,956,181,031,616,261,688,699,698,533,177,497,358,631,957,755,354,483,
992,159,516,240,439,897,272,224,169,853,584,268,946,197,398,929,260,583,807,
379,097,606,564,173,566,328,862,385,650,754,757,314,566,784,071,208,876,676,
615,640,274,209,764,700,910,568,071,542,107,737,162,423,593,308,776,718,959,
840,734,786,086,360,171,258,288,651,591,757,922,787,642,668,922,049,000,465,
270,507,701,772,809,467,099,020,392,614,313,153,401,862,813,382,930,628,675,
074,749,043,443,787,182,522,444,983,885,392,742,304,380,093,421,584,389,058,
896,932,660,296,386,210,134,215,653,839,379,989,075,596,011,383,587,797,339,
966,276,958,938,968,793,417,175,548,969,131,046,152,197,962,525,570,631,130,
217,471,964,208,026,249,124,163,313,760,966,874,050,515,960,605,636,061,540,
029,589,935,975,225,186,352,775,878,196,357,327,177,071,120,189,204,799,009,
659,262,466,929,510,034,782,248,658,254,596,088,937,132,176,883,748,494,113,
363,755,707,069,749,092,787,595,026,371,272,492,910,965,774,302,507,312,039,
208,728,350,469,481,380,990,077,436,107,331,938,877,635,796,258,663,790,607,
093,542,836,740,944,479,563,237,823,090,106,918,369,712,638,056,508,202,409,
122,096,612,135,773,046,917,477,818,040,100,257,503,656,424,690,774,824,846,
124,665,905,809,502,216,960,792,659,366,142,695,855,747,839,335,646,963,229,
024,510,615,370,326,530,077,248,595,512,357,420,969,270,387,922,372,664,533,
978,108,697,797,364,195,293,370,115,093,089,356,738,576,696,802,067,524,689,
839,680,924,258,916,873,297,665,537,957,853,829,205,701,305,090,021,464,373,
065,210,805,960,939,409,278,544,239,246,234,644,149,767,323,924,801,850,233,
942,071,314,011,712,129,302,119,427,185,806,978,318,594,050,172,943,287,151,
764,728,298,601,002,985,804,081,276,251,473,144,756,150,266,196,641,089,208,
105,909,124,356,355,626,910,474,456,445,640,414,390,390,884,127,687,120,498,
152,251,476,693,372,497,529,382,095,227,346,060,598,712,731,053,133,168,952,
456,866,185,421,344,142,508,363,944,332,415,603,619,414,643,993,941,292,069,
507,580,891,765,511,072,879,032,110,456,873,333,857,290,581,918,143,190,256,
640,279,642,617,120,228,242,370,530,253,683,112,338,947,239,474,906,169,171,
559,280,441,684,411,554,968,579,107,889,823,767,466,682,721,033,331,100,284,
874,975,840,816,396,336,539,566,264,564,726,173,343,518,160,408,088,997,207,
604,111,808,673,630,765,075,832,444,675,117,537,319,246,826,632,249,976,240,
588,212,744,476,415,985,636,344,881,132,442,741,983,674,989,322,487,717,425,
532,959,268,197,595,067,520,256,034,262,626,330,795,492,350,922,489,557,267,
543,170,967,330,555,852,456,940,236,366,656,298,265,958,969,873,399,394,819,
941,345,795,719,313,365,118,972,163,165,816,620,293,704,046,602,227,832,020,
419,639,888,578,561,139,443,585,157,907,340,213,656,128,986,164,961,829,268,
336,461,079,449,806,062,232,862,616,359,028,645,022,603,484,434,872,785,825,
944,919,785,440,287,846,616,502,476,177,245,910,518,698,173,800,056,076,016,
408,685,768,042,364,562,840,823,575,649,160,756,196,229,982,921,139,667,662,
301,801,546,684,502,481,188,879,407,835,802,102,483,477,870,026,889,508,957,
240,709,961,089,186,882,332,494,757,206,125,339,996,522,509,313,771,219,845,
677,897,770,871,813,558,673,591,150,345,788,825,537,428,707,836,771,145,638,
222,241,989,837,512,827,002,183,589,280,872,312,506,807,222,390,573,159,705,
900,579,993,510,573,385,152,625,030,381,693,831,585,626,965,415,568,520,324,
082,583,576,005,915,630,913,853,306,315,233,315,769,149,042,133,131,172,328,
729,783,502,012,918,789,154,453,476,041,973,731,590,958,037,241,231,370,639,
507,088,498,191,903,048,494,891,929,885,756,710,072,975,295,317,462,009,500,
722,948,009,818,206,783,852,249,860,249,341,319,991,581,125,825,404,569,528,
730,074,000,846,962,627,917,382,556,882,117,033,761,718,698,515,631,019,250,
358,668,016,044,467,247,316,114,790,794,360,204,007,035,203,363,842,587,453,
540,836,995,313,815,106,591,587,670,189,938,260,043,751,989,739,847,791,174,
184,525,397,182,932,977,165,673,921,398,516,998,797,388,413,158,278,867,046,
806,819,768,233,012,564,898,725,264,329,957,320,750,368,363,206,492,721,355,
725,147,062,378,103,480,696,384,245,264,171,295,369,695,927,707,236,342,885,
598,355,905,940,751,986,530,421,428,183,183,168,931,799,183,070,715,589,075,
088,942,832,433,834,675,713,284,579,998,676,981,482,193,574,616,924,205,026,
485,547,984,810,947,706,558,764,256,190,414,432,071,249,246,439,118,374,662,
986,203,503,872,761,360,792,550,652,827,269,381,478,548,451,704,512,064,099,
653,470,645,432,799,224,841,540,346,147,403,897,566,202,566,268,489,946,232,
473,230,345,805,199,975,203,171,042,415,942,791,438,118,956,350,690,383,378,
983,724,434,117,489,770,936,071,494,910,382,835,237,546,869,238,045,175,395,
588,753,445,362,113,419,839,050,657,588,374,959,782,052,621,140,424,502,173,
611,142,172,562,096,079,633,387,744,412,771,056,036,812,849,157,476,508,712,
463,390,482,324,486,336,711,856,051,322,424,341,588,812,356,527,580,721,863,
363,646,960,926,809,673,942,917,629,975,435,193,530,116,748,622,694,025,100,
373,655,064,506,181,323,055,806,373,923,830,817,256,196,796,305,167,258,247,
181,475,827,108,217,043,388,824,974,282,105,161,938,495,676,181,233,829,540,
362,628,922,754,719,239,986,432,093,112,621,967,728,749,358,966,687,499,240,
325,125,874,100,116,906,411,365,233,998,000,560,533,007,160,916,886,203,664,
214,672,036,502,776,824,322,098,812,120,994,556,099,912,321,047,112,769,214,
493,241,711,812,959,311,681,653,506,447,670,122,635,587,357,969,494,773,659,
781,240,218,130,821,895,504,478,284,465,003,070,678,013,092,661,755,468,667,
077,496,935,760,380,937,606,251,415,390,850,810,167,767,161,741,440,236,637,
611,833,955,484,777,392,106,944,991,092,800,474,259,849,793,852,811,165,035,
018,480,976,466,693,453,838,099,718,258,540,452,934,242,150,869,220,798,444,
346,543,998,289,135,555,553,324,852,436,384,234,713,094,311,673,322,232,079,
123,102,886,241,271,854,219,006,398,474,888,080,179,724,256,104,202,398,319,
659,417,152,277,176,353,780,454,402,620,617,142,808,528,334,525,121,604,336,
488,684,364,203,844,252,454,164,894,867,622,626,037,903,206,428,749,416,234,
835,555,938,700,087,336,085,148,195,355,224,821,406,442,481,674,087,164,542,
052,417,297,562,924,725,299,383,397,091,861,168,232,052,235,848,161,456,340,
159,349,468,476,560,989,153,605,750,081,293,256,662,846,389,978,561,823,352,
101,139,347,657,135,475,631,826,442,764,002,240,730,122,189,978,117,711,530,
699,152,643,508,448,962,605,566,397,711,603,677,669,794,380,139,553,752,206,
047,005,687,690,427,337,710,251,023,495,698,055,271,273,276,572,714,496,182,
664,461,878,846,087,066,768,054,796,467,078,433,228,321,202,738,694,522,012,
924,543,330,287,879,154,649,627,400,176,580,459,518,405,855,442,004,249,194,
432,295,867,258,017,251,468,978,578,187,322,259,307,196,635,969,296,724,580,
327,093,326,193,254,588,458,768,521,619,843,228,376,350,876,923,957,594,156,
626,276,393,772,593,634,651,137,193,859,542,947,953,820,802,931,777,680,005,
064,570,021,861,522,467,365,696,613,918,450,368,077,253,011,258,155,797,218,
023,655,208,535,185,033,735,258,411,733,740,194,219,090,209,332,518,647,765,
742,971,878,691,778,994,413,203,047,211,771,836,392,656,245,355,392,362,247,
990,912,502,234,830,090,397,352,930,241,937,067,282,451,996,579,757,727,797,
929,372,992,209,742,667,543,027,563,604,455,222,578,484,571,172,367,504,990,
349,716,648,792,488,525,897,863,460,277,100,303,967,055,339,711,708,184,878,
960,845,961,886,994,438,028,812,071,019,450,328,811,028,536,336,864,122,896,
416,435,090,792,381,522,069,761,076,438,265,569,855,715,312,261,536,428,598,
067,323,394,330,533,967,859,238,249,232,113,925,725,988,448,266,488,339,713,
800,911,129,628,379,233,553,168,634,621,086,564,970,107,532,296,315,190,514,
080,720,512,670,474,550,651,371,378,350,647,986,103,764,266,949,152,467,763,
373,217,771,887,546,663,763,898,037,303,227,325,628,322,510,175,023,545,678,
307,608,397,790,479,160,622,569,950,300,986,246,957,950,407,197,131,055,489,
433,543,359,993,436,388,590,902,217,824,796,222,190,951,692,106,284,221,388,
324,524,867,065,220,749,009,415,898,224,543,918,158,695,833,740,365,319,704,
422,663,523,297,625,964,580,773,378,032,755,214,767,206,392,680,654,288,697,
613,223,432,535,745,219,987,337,966,195,628,579,207,275,274,173,414,157,857,
984,254,555,804,922,365,257,566,271,591,564,684,704,792,649,844,635,666,255,
787,176,556,334,114,417,984,027,642,040,960,133,849,108,929,156,363,230,656,
956,789,457,392,666,922,796,713,601,564,110,334,325,512,921,436,158,411,345,
732,939,567,470,964,957,401,391,563,620,693,298,434,973,563,064,323,082,613,
933,474,585,036,350,361,079,436,013,171,433,355,914,745,508,392,268,857,822,
711,813,637,834,883,318,625,588,479,274,928,450,147,061,149,942,166,735,618,
955,255,929,599,301,331,345,385,257,154,640,850,873,996,872,659,802,067,306,
899,255,798,492,382,982,839,931,410,466,277,392,048,282,719,408,558,225,844,
159,634,763,902,586,648,540,232,648,173,672,398,025,595,280,943,895,562,312,
467,031,919,382,849,260,097,032,582,624,666,930,397,727,072,767,833,264,669,
158,051,983,421,897,448,597,515,902,384,884,073,650,511,927,082,333,355,836,
466,153,055,651,866,033,231,339,697,348,271,879,839,276,362,229,065,479,741,
798,189,546,235,749,394,324,179,514,798,782,511,510,598,204,096,115,615,068,
551,911,482,372,390,515,976,146,291,667,583,665,321,435,211,119,916,715,735,
420,524,455,843,901,825,789,760,017,817,278,833,490,697,143,111,416,774,131,
045,463,315,793,541,561,459,676,614,581,865,137,127,726,682,025,848,076,870,
089,234,926,267,494,916,670,827,063,996,276,882,901,859,479,305,092,878,592,
534,758,486,765,169,397,819,226,961,152,711,112,627,483,473,916,861,268,150,
183,385,362,733,076,613,059,008,768,483,939,904,418,129,876,633,687,106,447,
703,105,807,955,315,266,354,390,079,953,350,034,456,463,241,819,356,253,308,
451,525,743,054,946,581,780,090,167,540,184,108,492,401,231,652,143,094,499,
680,018,458,964,978,714,598,195,260,011,594,281,738,922,475,290,244,315,579,
844,155,147,332,941,001,163,465,382,844,561,294,656,915,619,070,069,541,403,
448,699,700,396,667,718,995,730,417,464,815,143,553,945,854,692,233,345,901,
950,389,690,762,295,525,288,670,808,918,352,590,648,611,571,742,772,094,217,
615,818,368,007,188,433,616,897,934,227,387,898,056,568,551,532,865,273,986,
278,304,096,024,156,647,001,331,664,341,628,396,432,675,974,280,347,585,586,
412,006,493,074,528,556,573,034,877,872,697,270,309,979,677,828,968,903,425,
507,926,905,484,101,717,013,658,449,144,143,442,435,540,369,934,746,600,576,
128,331,041,020,585,825,782,977,923,228,531,204,960,468,546,311,619,177,718,
946,911,007,324,497,075,511,955,515,351,731,758,503,223,180,024,716,706,515,
655,482,145,590,454,204,606,400,561,906,309,071,855,029,163,511,989,022,177,
449,836,704,134,652,747,429,087,046,854,015,918,848,598,599,111,772,185,016,
286,729,209,722,838,973,762,326,367,473,170,853,137,927,977,329,848,985,091,
493,343,187,660,915,955,929,519,373,337,669,210,502,230,689,892,579,500,097,
625,739,658,526,618,310,576,302,622,811,178,329,990,700,421,719,890,451,238,
228,728,083,870,236,328,162,652,571,980,513,231,341,950,865,725,328,270,398,
241,394,340,094,205,187,600,321,882,087,111,228,221,539,456,190,653,404,492,
570,474,687,854,394,985,927,704,344,815,737,652,347,441,296,057,005,141,041,
158,927,492,833,393,655,583,108,509,809,609,791,556,448,762,198,929,157,926,
749,154,729,736,692,876,860,613,929,485,547,812,422,807,820,160,334,723,935,
759,544,635,553,475,131,499,016,929,724,782,887,457,563,523,984,664,062,226,
564,919,910,423,899,713,709,694,351,159,926,995,378,078,150,544,761,443,870,
959,843,909,898,859,652,300,263,392,999,864,200,384,011,483,032,831,343,950,
863,874,311,755,557,942,177,190,112,022,101,402,007,269,022,537,945,329,036,
766,723,572,083,487,645,548,536,626,413,225,514,712,524,080,998,337,023,747,
779,569,770,088,697,042,650,300,556,738,366,664,451,259,820,499,658,538,565,
286,713,916,613,944,192,258,486,478,669,138,979,649,248,290,182,001,929,007,
336,818,713,907,432,542,856,160,511,849,321,003,966,194,107,834,229,787,175,
603,698,422,983,474,761,969,396,477,961,581,435,504,653,253,740,809,468,102,
509,880,095,761,083,273,267,902,856,935,672,869,864,292,902,091,678,626,812,
540,224,991,376,011,542,048,327,794,641,558,307,624,184,660,148,561,852,074,
199,799,363,702,022,106,989,651,151,608,706,407,773,532,344,215,565,624,619,
913,881,713,807,544,760,859,911,637,856,956,999,219,812,716,339,335,710,008,
024,283,674,100,051,824,863,344,336,048,283,078,104,986,693,649,291,085,441,
488,137,679,255,647,222,309,046,795,665,185,852,730,950,890,765,265,879,205,
969,293,446,271,034,127,675,410,524,546,000,489,820,936,646,455,065,669,416,
447,175,615,693,160,983,643,496,287,625,477,009,479,366,280,872,485,384,392,
024,194,835,541,696,566,563,649,140,258,634,378,110,122,369,688,278,005,720,
241,630,703,562,772,284,850,780,668,496,001,859,563,951,273,604,184,223,285,
280,332,125,279,699,658,724,697,266,438,912,069,907,742,469,996,222,498,013,
386,944,963,978,652,271,303,565,955,842,075,065,419,641,387,515,106,471,501,
167,369,018,864,178,348,413,320,698,737,469,326,995,857,843,260,020,617,825,
929,992,551,857,209,640,782,181,487,904,739,654,094,393,763,493,161,503,224,
891,330,060,919,738,969,806,724,518,088,196,569,768,296,070,032,789,077,323,
920,377,615,956,514,316,518,344,378,038,457,604,789,519,569,984,826,497,956,
794,012,127,299,502,812,790,299,657,109,305,655,290,119,324,111,043,118,712,
172,614,703,707,218,969,386,718,499,841,671,846,034,183,197,884,813,167,650,
433,860,931,978,092,723,620,979,518,647,229,496,733,195,728,204,537,482,077,
705,392,998,888,167,653,300,750,568,532,121,014,628,552,265,073,340,339,538,
271,758,408,226,638,425,727,246,980,274,724,098,512,226,991,095,924,339,424,
023,904,163,605,027,588,795,248,158,730,409,626,513,143,311,483,527,959,963,
413,380,618,783,289,485,268,579,495,538,086,702,189,326,681,443,907,041,975,
767,598,721,912,252,411,463,292,233,667,949,359,948,409,463,776,394,210,480,
831,078,438,404,392,547,250,655,091,934,684,114,134,391,803,308,469,702,410,
499,038,869,816,264,268,706,176,472,543,861,534,399,147,145,830,215,869,840,
705,348,403,505,508,045,007,363,499,423,967,607,005,009,436,190,432,207,192,
098,229,380,161,687,964,347,748,694,234,552,781,594,984,669,430,437,230,486,
415,606,317,324,223,164,754,682,656,500,143,731,437,292,008,331,795,561,927,
505,810,021,247,560,717,121,845,072,149,376,431,279,950,876,816,033,862,763,
017,245,084,244,618,553,340,955,041,890,523,182,358,004,487,346,382,666,291,
747,759,392,335,665,461,922,071,252,300,608,823,232,489,681,979,857,479,268,
972,588,169,174,479,429,898,023,882,603,095,562,778,552,571,625,534,490,574,
399,091,126,948,222,907,344,866,883,695,561,571,295,393,802,125,485,923,592,
147,176,104,791,581,628,712,650,980,066,370,357,745,786,874,044,196,490,743,
983,331,556,890,181,069,418,687,226,261,614,906,884,552,023,385,667,279,768,
954,673,270,400,845,494,809,163,579,031,454,688,617,258,889,926,310,085,565,
996,187,164,185,849,558,694,402,206,142,627,949,003,255,443,854,810,323,262,
337,374,038,865,808,722,361,016,884,911,690,442,935,125,305,162,164,667,556,
839,776,913,966,611,539,474,026,426,667,106,309,023,614,670,539,417,986,067,
931,655,153,396,316,404,146,607,014,543,505,565,321,959,317,211,593,346,775,
872,074,890,481,769,604,454,894,732,753,062,506,352,578,397,250,400,220,706,
525,911,391,739,974,210,484,284,885,893,217,529,256,931,725,112,647,054,424,
219,192,626,755,279,037,133,782,639,816,849,390,863,540,740,975,528,914,915,
681,706,279,303,143,318,743,029,983,521,814,212,405,471,366,979,571,274,531,
644,803,730,124,729,972,433,873,404,171,087,679,101,536,480,750,169,426,648,
423,685,750,897,318,347,125,582,149,222,636,658,397,698,347,552,499,422,015,
062,781,396,424,570,156,051,640,621,518,788,314,722,758,011,519,290,999,059,
542,768,042,230,967,949,503,868,971,359,012,200,887,779,245,000,745,866,033,
896,271,991,023,015,310,843,666,687,442,513,695,929,905,510,954,960,059,641,
229,318,111,384,320,860,756,276,988,418,049,447,667,675,080,888,619,971,609,
877,444,290,428,650,110,450,623,235,762,558,871,766,739,725,249,038,207,466,
178,065,175,896,364,689,151,674,642,167,582,446,260,371,078,699,607,970,610,
935,109,623,973,741,060,632,246,747,668,801,872,391,458,145,192,968,548,039,
072,887,001,227,689,944,271,352,179,237,345,422,581,650,387,157,975,666,594,
318,296,477,959,326,806,378,029,694,028,044,933,219,340,139,805,442,021,935,
295,200,253,546,299,324,388,620,838,164,849,911,838,837,425,452,151,319,599,
473,093,015,661,236,891,321,013,241,553,098,946,164,635,826,418,350,841,059,
368,795,330,016,182,738,409,886,694,901,576,886,317,952,132,469,150,508,817,
719,141,455,657,619,985,521,773,614,827,566,174,776,247,355,899,316,602,191,
462,465,528,725,634,392,536,900,159,639,942,419,106,132,789,527,628,117,990,
316,386,988,765,951,760,955,299,033,343,850,212,221,658,385,019,667,773,113,
594,490,439,706,031,375,781,152,727,829,515,302,322,410,782,029,442,088,915,
062,951,585,859,267,481,075,820,046,868,888,564,104,703,806,372,689,418,290,
211,030,432,652,490,822,943,666,277,653,530,226,443,732,208,307,345,007,980,
096,024,308,158,848,107,655,953,030,210,624,587,378,422,059,670,776,119,109,
614,761,119,547,835,425,244,659,994,162,638,554,854,798,045,517,740,278,106,
556,440,667,152,482,075,433,271,358,993,877,690,556,648,883,634,234,913,451,
235,596,847,559,218,891,113,631,055,382,997,053,207,630,852,945,638,428,177,
559,330,905,775,062,168,211,207,560,975,820,564,437,940,308,802,754,195,933,
762,661,596,207,743,604,178,943,355,456,663,761,681,357,530,382,500,576,975,
715,535,374,096,049,037,703,540,612,724,427,587,403,086,971,448,223,474,814,
971,293,224,292,807,595,045,634,899,220,297,446,050,776,189,490,682,115,304,
037,713,129,165,708,737,518,678,455,603,877,831,575,617,596,953,738,464,382,
645,584,021,328,382,977,968,567,647,594,707,625,447,554,095,881,056,245,832,
221,354,616,676,515,078,621,870,828,827,910,311,179,487,751,822,955,248,086,
495,606,560,028,545,791,285,543,107,502,402,161,827,840,629,834,546,506,887,
989,178,083,251,521,955,160,471,415,175,557,489,162,998,564,600,424,923,690,
512,614,793,058,573,348,986,231,294,848,412,462,841,317,409,296,897,693,521,
738,689,607,987,098,094,918,492,529,706,085,640,849,760,812,477,892,559,892,
025,328,665,976,868,474,595,401,123,386,432,461,628,764,345,719,413,868,120,
728,913,399,364,746,623,479,760,826,957,294,169,568,734,836,096,824,897,328,
463,701,909,696,052,727,179,651,816,448,844,321,781,358,013,838,415,288,672,
676,576,148,878,202,438,008,359,471,285,578,354,470,090,828,227,805,172,258,
617,043,454,652,607,005,844,857,155,684,336,961,554,817,404,375,796,501,134,
002,179,190,593,777,599,395,004,220,494,212,941,428,864,648,051,674,386,570,
853,343,547,078,114,395,565,558,356,991,279,683,380,895,354,716,598,090,393,
851,280,086,900,186,064,554,452,939,795,629,908,110,981,726,978,037,634,753,
528,422,698,178,797,414,306,323,532,462,005,509,874,633,688,606,993,554,093,
163,964,595,616,251,563,359,922,314,046,676,481,414,081,248,914,413,425,910,
752,149,817,699,064,443,137,584,267,921,364,795,119,439,402,027,722,176,703,
559,267,088,787,989,165,739,249,360,031,859,033,760,977,647,080,897,505,182,
811,507,284,008,459,056,535,715,908,341,404,807,351,950,708,312,370,164,036,
721,904,682,747,042,310,516,307,996,052,419,751,863,569,271,110,792,058,091,
912,862,139,947,949,823,898,082,465,446,716,783,937,499,442,434,842,781,060,
438,904,569,074,650,442,632,770,089,456,718,687,026,283,822,095,915,167,177,
062,145,960,820,805,976,994,116,525,091,830,871,221,056,288,274,551,017,107,
464,374,957,886,333,812,559,542,275,370,968,171,128,422,435,644,265,411,113,
283,585,835,701,881,196,540,717,675,761,386,086,429,243,917,755,491,368,447,
403,672,820,227,205,722,629,370,878,710,029,141,172,608,108,185,243,619,551,
252,048,411,767,472,240,970,126,251,405,165,433,003,940,789,426,726,362,862,
606,225,206,953,689,033,285,044,270,182,873,112,044,107,185,982,134,608,116,
672,176,705,987,435,066,114,640,960,972,650,149,713,528,922,028,152,172,114,
237,308,143,864,686,357,368,060,554,173,895,432,167,969,139,498,109,439,513,
665,580,422,297,040,154,281,523,258,085,876,703,731,580,525,140,301,205,060,
304,008,405,057,541,876,024,673,904,601,577,877,813,062,480,925,434,373,665,
585,186,354,234,191,895,921,699,026,391,506,014,210,209,831,590,201,813,613,
676,068,204,042,572,150,123,272,748,034,777,281,481,744,056,434,615,102,621,
258,936,671,704,384,862,861,681,967,648,813,130,325,611,557,040,445,128,690,
517,320,606,404,996,169,476,036,384,541,112,141,600,941,128,429,507,932,815,
412,293,262,242,713,191,666,518,609,192,527,045,612,880,215,006,906,734,833,
539,108,450,580,043,408,373,944,720,954,749,906,296,835,277,644,170,545,768,
614,180,022,165,708,089,494,654,712,565,956,597,658,217,984,090,458,911,061,
146,205,131,802,297,356,354,027,711,870,738,694,369,776,399,759,015,908,514,
995,012,718,958,734,636,533,370,484,771,301,314,421,655,495,176,039,805,984,
072,265,328,664,574,379,409,141,790,736,727,795,100,116,685,765,245,683,523,
098,994,706,977,101,982,579,883,447,907,747,737,074,441,766,203,616,731,980,
730,357,159,185,533,723,827,684,357,412,589,269,255,963,683,765,115,224,598,
649,624,712,666,902,851,057,934,378,838,504,333,637,653,498,589,312,356,029,
464,326,683,520,002,757,558,760,934,188,038,693,830,595,646,681,950,318,159,
448,643,988,120,096,062,759,755,176,462,376,938,953,645,493,974,850,063,207,
588,407,813,280,105,031,390,629,001,567,803,773,762,021,717,542,251,329,667,
112,631,557,522,149,351,137,345,783,213,170,196,892,192,327,177,046,742,499,
403,015,192,385,251,862,142,746,472,608,529,409,382,611,292,245,236,887,098,
863,670,299,715,649,798,259,886,335,440,147,371,961,158,129,717,726,634,197,
759,043,410,898,818,371,796,963,207,294,486,567,187,646,455,871,833,526,602,
984,140,009,451,844,164,576,809,878,828,590,173,911,323,826,189,829,475,990,
223,081,186,733,844,013,060,169,621,406,224,484,380,292,635,656,671,299,482,
337,642,193,004,760,879,850,141,473,369,480,666,119,388,543,307,767,519,087,
469,014,011,392,990,539,797,579,202,918,569,976,854,023,051,045,793,708,771,
328,341,875,690,838,005,711,161,632,079,735,336,193,068,903,318,462,686,074,
276,749,593,561,805,410,106,218,062,252,091,675,672,717,053,723,367,302,219,
880,123,259,025,253,643,171,886,545,909,823,120,479,370,205,922,185,130,465,
007,744,210,661,470,829,259,687,042,868,621,823,878,827,500,789,828,784,230,
464,609,793,449,314,377,019,858,435,099,874,658,454,724,659,284,232,193,661,
528,230,665,895,357,074,464,930,494,796,293,289,793,889,879,312,452,467,068,
141,385,975,794,981,517,922,266,393,188,347,171,298,489,419,270,115,852,158,
164,705,384,582,653,792,711,283,385,102,355,195,545,528,100,201,987,911,123,
023,058,621,615,607,115,088,227,493,448,346,738,444,970,932,824,216,003,955,
628,303,338,143,192,542,155,366,170,617,790,542,831,357,829,712,525,586,220,
810,751,879,756,909,439,288,320,791,637,543,512,145,232,669,249,434,132,595,
402,362,852,280,257,415,070,632,196,756,864,035,875,678,470,846,170,875,179,
881,664,596,574,921,532,487,051,206,741,797,456,531,728,548,745,378,836,466,
002,930,644,066,540,425,864,641,442,833,438,951,752,015,015,012,877,727,809,
944,679,754,073,409,581,769,826,809,039,659,275,006,742,140,760,035,669,948,
241,006,793,803,558,833,226,102,919,082,346,182,586,849,867,462,900,680,931,
254,521,113,090,810,753,524,461,426,488,104,960,628,247,367,386,419,855,346,
592,276,397,278,452,797,023,780,518,934,978,955,036,803,736,894,637,832,392,
793,867,811,956,899,395,237,377,570,654,378,748,950,471,163,465,535,090,332,
502,082,418,246,611,322,762,294,697,220,620,860,554,087,879,690,123,185,003,
112,884,063,006,511,142,092,335,766,348,932,858,872,244,511,280,930,451,391,
788,836,569,298,205,179,661,263,058,084,127,371,541,672,528,389,257,520,460,
396,712,821,656,832,321,836,962,066,923,417,345,601,454,693,923,080,957,719,
135,417,048,204,671,357,636,342,065,404,306,219,107,680,414,836,323,988,530,
787,761,605,876,319,407,399,475,656,183,022,613,761,344,848,132,906,532,874,
426,319,436,283,736,151,023,546,040,624,678,147,497,839,693,475,214,022,953,
237,026,425,634,075,353,734,889,664,748,867,353,664,052,669,059,039,122,760,
087,600,747,063,712,766,316,618,061,985,681,746,402,249,562,316,808,048,885,
787,612,127,080,366,921,503,647,215,240,818,152,782,758,511,387,666,226,218,
624,525,861,570,708,455,021,006,407,575,944,109,496,863,569,354,026,089,895,
876,424,522,463,059,732,784,536,563,118,414,061,339,969,003,294,920,802,793,
210,754,974,150,990,227,161,892,901,382,359,737,835,639,077,287,141,578,457,
231,862,186,070,230,479,929,052,366,250,810,292,427,564,364,748,324,196,611,
855,941,910,310,091,143,184,235,328,821,378,829,219,342,687,621,282,720,676,
902,272,327,244,371,590,655,040,199,200,701,059,887,907,208,724,135,907,854,
164,051,706,485,469,193,940,582,296,187,961,642,692,972,273,061,256,062,398,
534,625,245,133,276,272,424,341,182,974,926,100,769,977,978,977,378,652,967,
642,907,251,790,119,221,711,798,346,189,756,724,229,777,907,264,539,220,314,
266,243,653,131,296,261,737,631,254,863,231,490,533,388,465,003,898,578,482,
708,442,160,818,455,733,349,694,892,045,892,620,759,540,692,493,797,496,691,
594,058,247,030,371,996,948,263,280,783,910,690,954,769,790,149,430,922,238,
565,419,452,796,801,942,650,843,357,677,458,659,828,179,110,329,384,414,391,
771,730,484,997,444,665,509,263,682,803,488,520,255,731,577,964,602,658,246,
453,149,074,111,350,539,788,441,542,215,489,880,848,712,590,669,836,752,166,
927,568,016,091,836,626,876,198,352,452,150,207,195,316,185,262,616,599,677,
407,028,913,957,402,416,847,424,340,916,347,570,194,065,343,689,457,341,302,
161,602,868,732,253,650,380,695,578,183,086,631,849,025,940,475,986,175,846,
199,655,693,602,150,203,620,102,822,090,364,514,313,349,183,181,672,713,250,
090,310,632,963,768,749,807,773,151,800,619,326,206,437,755,837,798,392,814,
748,899,778,791,227,452,517,262,412,084,650,830,686,846,843,285,076,880,586,
094,099,278,705,213,395,075,173,490,793,328,260,091,619,821,927,312,201,595,
971,705,911,002,050,480,054,339,825,105,479,695,161,998,958,857,804,796,859,
820,569,597,243,047,260,982,280,409,869,703,842,546,951,537,316,969,914,487,
829,115,126,248,715,561,263,677,653,304,053,673,669,474,112,788,509,730,039,
024,105,343,539,455,926,788,675,553,600,017,474,140,168,822,502,812,890,429,
760,165,681,850,469,317,851,128,280,822,820,234,844,584,038,272,345,057,650,
865,221,774,948,100,360,148,617,659,842,903,954,538,111,564,628,264,969,957,
331,455,680,047,202,883,677,257,480,460,886,312,426,088,496,117,267,944,337,
546,281,119,660,970,131,735,059,576,909,291,179,129,204,039,741,971,093,515,
686,306,848,210,309,242,601,187,691,181,812,620,318,677,423,180,449,755,975,
079,927,299,715,477,660,789,518,351,536,369,653,455,253,060,541,868,202,769,
534,166,396,247,305,409,578,481,333,686,019,811,399,525,145,159,523,034,035,
833,958,658,505,597,925,993,854,374,157,215,289,230,752,721,395,152,489,633,
422,829,884,153,391,408,569,381,362,198,593,343,212,267,161,034,523,556,826,
283,483,334,078,994,649,413,737,941,180,006,425,792,069,144,914,612,055,741,
517,765,260,375,614,183,314,288,621,672,459,198,203,757,887,509,519,319,676,
106,305,680,398,861,732,212,712,778,949,589,528,263,954,836,036,106,652,636,
703,209,399,715,040,823,047,375,000,325,751,591,196,552,720,811,898,779,423,
922,305,336,431,215,347,420,629,068,196,865,813,375,006,289,739,219,788,845,
978,143,338,822,392,516,480,906,287,059,785,752,467,868,665,425,597,385,614,
567,172,715,051,410,039,314,073,165,053,527,080,456,401,807,977,271,554,198,
533,853,256,351,252,468,404,433,560,407,810,562,599,478,998,859,376,012,522,
528,686,837,697,832,004,668,139,438,000,933,542,641,503,555,212,754,831,272,
322,887,566,621,835,066,817,533,866,521,167,552,905,121,156,231,989,728,654,
780,871,421,891,733,000,049,702,450,552,441,354,002,046,408,963,373,576,432,
988,005,423,097,276,262,267,283,138,130,505,145,560,964,968,896,541,435,266,
471,403,399,538,570,455,844,145,619,853,340,817,862,151,216,699,576,022,339,
345,862,230,185,804,089,634,259,522,104,508,640,332,304,329,040,917,773,307,
682,035,481,843,515,071,420,417,539,501,819,620,693,293,859,790,822,582,021,
935,339,743,407,134,101,983,419,362,928,175,638,870,646,683,756,464,309,056,
893,462,665,382,186,519,802,756,807,648,741,924,025,532,592,252,454,587,681,
081,117,931,901,903,830,151,739,365,419,130,100,992,821,942,428,415,845,661,
356,290,093,669,952,453,658,928,400,290,263,969,871,949,678,171,115,079,884,
083,359,279,860,477,028,049,134,411,042,944,610,629,418,018,644,472,819,851,
155,383,349,116,355,834,958,289,421,388,356,959,917,371,005,139,453,933,120,
946,752,352,090,437,700,157,365,693,713,754,681,454,283,458,815,211,835,846,
795,361,741,684,685,827,162,765,962,980,404,073,302,757,748,869,776,327,429,
244,427,165,615,408,100,860,476,071,200,993,144,917,338,448,376,239,840,873,
126,147,058,232,962,661,871,564,398,397,817,036,650,294,353,100,169,396,199,
615,683,731,455,382,748,914,835,101,662,258,647,745,091,406,089,673,870,343,
939,743,509,351,482,038,775,401,054,821,306,343,727,750,736,121,194,163,087,
786,890,954,243,870,356,640,049,912,601,672,211,533,565,211,353,052,828,666,
840,519,281,182,728,396,595,688,737,071,059,898,124,306,541,650,511,576,661,
646,734,440,441,268,270,345,389,352,255,784,141,729,113,277,256,382,559,539,
733,873,262,138,614,126,166,289,097,819,450,049,725,243,687,851,471,331,661,
543,483,642,079,318,270,350,364,867,170,838,045,838,694,595,908,208,395,506,
194,024,903,970,290,450,036,810,350,798,693,128,952,879,583,589,084,442,099,
296,131,036,096,419,328,508,604,457,231,388,220,915,300,021,042,602,683,296,
246,721,692,997,178,986,502,672,166,845,328,475,439,402,786,265,373,032,103,
026,238,775,186,179,101,207,920,091,568,690,206,690,097,623,240,271,410,470,
718,383,841,920,888,637,072,639,760,851,888,877,163,599,832,304,774,862,660,
844,063,992,149,619,281,378,801,805,918,425,345,117,931,269,204,330,798,650,
785,460,827,986,345,460,893,733,258,182,021,134,109,756,315,343,214,239,816,
126,155,314,761,952,589,167,787,917,957,661,466,120,267,501,366,554,633,581,
565,805,653,801,822,027,877,881,963,297,141,527,511,930,290,477,145,999,890,
437,194,146,892,479,829,892,700,363,323,124,625,256,081,583,458,295,483,990,
011,003,242,690,351,659,763,508,530,856,138,070,498,015,464,907,290,920,302,
294,879,727,125,339,312,864,832,460,238,595,551,860,615,739,967,424,643,567,
197,226,479,903,884,666,635,176,291,918,265,356,711,417,565,399,640,047,041,
766,915,410,138,016,085,569,539,388,461,619,354,230,649,956,535,091,112,845,
592,469,767,515,573,311,770,015,678,148,424,645,952,845,535,380,890,771,867,
829,163,488,903,358,495,589,597,237,982,967,678,018,925,544,923,759,638,182,
320,682,003,392,588,120,238,482,538,303,299,588,519,370,645,775,582,643,268,
057,318,113,054,498,637,199,900,200,593,698,573,128,966,675,787,684,741,198,
529,614,936,327,386,186,834,182,988,259,884,175,670,550,557,415,728,059,714,
610,020,569,068,724,107,714,619,793,728,083,443,135,025,976,958,107,289,776,
684,707,962,130,693,816,915,627,147,361,962,702,660,586,854,678,913,044,708,
128,402,542,348,810,395,589,100,626,371,103,759,871,544,818,764,715,512,627,
020,023,983,281,993,774,189,929,045,664,901,766,548,599,569,289,305,446,003,
054,574,086,964,983,143,334,048,887,056,631,333,680,740,595,125,503,659,327,
007,256,880,307,015,061,450,554,480,723,861,478,069,624,364,356,423,256,721,
423,050,158,888,775,019,189,374,019,461,156,984,086,614,950,128,604,278,477,
087,041,833,139,315,937,350,958,156,855,283,164,983,583,219,821,487,737,599,
016,623,686,085,674,244,781,465,586,709,123,948,531,076,468,536,976,379,821,
603,354,853,198,472,601,174,800,748,804,780,647,541,705,995,421,737,712,660,
440,625,845,246,292,789,298,497,041,928,594,636,468,125,858,270,982,582,230,
095,843,280,806,793,945,672,139,348,386,760,311,333,839,461,509,813,396,492,
388,377,140,619,079,532,639,220,284,273,268,143,129,201,607,546,033,740,564,
254,363,483,844,604,017,079,104,939,790,652,332,543,707,525,233,405,616,733,
390,205,784,187,453,320,186,584,728,658,163,928,779,875,731,038,098,618,229,
403,044,741,261,413,092,615,363,526,660,927,413,172,637,064,192,520,431,650,
978,729,464,575,234,986,138,731,145,562,453,828,570,825,385,191,076,276,797,
477,092,314,255,065,527,996,287,933,968,112,429,000,809,110,890,106,130,704,
291,546,596,987,005,084,406,836,586,039,078,624,352,504,670,451,077,369,083,
181,722,317,680,460,116,565,170,387,286,996,155,539,451,825,841,981,082,653,
327,413,739,356,816,150,592,734,193,699,438,738,600,332,338,848,945,954,776,
567,796,181,272,885,660,099,958,895,650,609,374,443,842,300,102,444,975,652,
978,336,852,682,819,393,302,623,293,250,958,780,909,621,957,748,083,866,584,
652,783,935,637,927,275,016,763,056,571,520,367,253,378,839,250,389,186,733,
173,678,122,333,419,862,000,411,694,949,752,867,181,475,150,023,622,798,806,
139,042,634,024,785,200,416,522,660,806,550,368,481,873,246,745,534,074,238,
820,147,425,009,324,990,659,682,205,688,344,417,878,676,153,809,762,541,689,
140,446,623,553,137,980,327,631,721,055,291,107,243,594,750,832,638,436,593,
920,696,653,323,655,062,064,221,239,263,747,789,663,189,607,586,972,164,334,
445,434,226,210,727,566,252,014,704,589,957,974,369,635,683,588,970,897,178,
649,260,303,637,790,201,152,800,069,055,849,486,988,981,836,659,645,646,635,
608,102,657,801,502,576,089,292,994,329,412,430,396,397,379,966,250,902,570,
453,508,289,303,176,516,008,456,836,647,819,363,379,306,558,198,882,565,126,
261,965,186,145,332,029,087,816,793,674,963,499,783,389,727,914,481,027,556,
555,631,865,158,095,733,233,649,545,806,978,753,885,497,720,380,848,064,712,
421,129,630,875,298,187,457,068,842,027,559,242,975,976,448,930,326,481,278,
826,835,719,463,278,972,302,711,146,390,654,962,473,974,704,402,173,536,908,
531,403,611,616,461,175,520,210,655,381,750,946,070,758,700,020,130,526,273,
718,714,120,747,228,749,561,515,827,288,348,648,450,262,340,107,380,708,253,
349,140,082,689,160,439,372,605,167,462,426,198,745,804,681,956,662,582,141,
748,958,342,330,452,570,295,302,653,823,391,291,075,754,742,995,326,848,885,
293,140,191,369,055,472,251,303,574,164,136,818,415,299,706,141,862,000,846,
498,547,491,193,115,572,786,019,011,088,932,306,478,278,433,470,620,230,435,
231,374,749,573,840,183,259,975,093,390,039,474,038,879,835,222,472,839,663,
360,652,380,477,110,212,689,404,917,191,230,943,933,010,770,134,390,694,213,
113,496,747,998,368,140,436,687,821,722,576,741,692,687,039,410,678,793,056,
065,017,864,713,258,936,914,183,256,239,733,910,089,165,541,183,125,399,366,
317,777,640,822,148,630,278,128,998,262,365,872,830,760,008,768,033,142,982,
680,056,365,151,272,605,391,649,073,957,035,702,681,468,243,709,489,263,239,
282,434,064,129,371,373,805,531,350,463,192,653,619,790,504,712,542,032,201,
218,821,039,306,827,800,688,867,803,604,684,323,465,482,304,822,670,150,675,
416,240,640,824,710,945,685,858,660,590,453,334,457,339,107,389,990,477,388,
191,958,143,110,511,381,289,526,693,761,976,765,993,669,963,334,563,343,540,
937,281,612,016,495,926,314,436,694,336,449,932,326,871,624,735,677,741,634,
727,779,873,564,060,598,504,359,010,900,747,291,608,712,002,203,778,806,164,
164,624,774,967,228,530,550,996,791,972,858,112,891,521,975,269,814,346,473,
252,239,537,486,690,692,970,672,911,700,267,928,123,709,736,931,246,910,072,
594,832,820,607,088,714,542,435,125,831,451,639,911,273,999,027,005,314,938,
704,972,814,716,454,648,071,433,148,806,523,313,448,502,045,790,569,450,696,
258,752,133,038,013,315,020,583,741,757,897,975,378,392,020,846,107,987,402,
429,849,414,701,951,407,158,323,629,012,617,240,640,751,874,938,105,373,776,
617,267,425,652,379,236,792,727,418,455,394,041,395,777,528,974,892,898,515,
742,198,518,829,371,063,563,863,857,643,629,825,374,881,135,472,635,779,291,
633,512,397,222,138,842,469,996,391,080,008,057,612,318,170,890,412,313,795,
829,985,692,758,598,700,795,317,387,072,641,640,305,227,986,262,563,200,326,
507,176,376,123,224,422,838,328,334,866,988,503,197,507,992,057,027,653,178,
740,450,323,353,724,012,567,790,065,911,069,749,319,473,937,832,426,144,420,
683,889,361,660,800,213,785,614,519,280,654,829,262,451,108,048,758,794,993,
226,257,942,965,536,256,930,617,037,037,003,320,185,992,963,437,382,101,150,
148,555,295,875,810,970,999,524,473,997,040,275,396,735,283,829,264,764,722,
528,832,790,892,284,945,457,174,073,388,412,215,090,734,712,668,288,207,963,
621,507,751,045,904,816,897,008,611,244,626,164,463,437,267,865,618,838,282,
941,567,727,302,225,552,648,808,276,319,401,823,602,493,554,197,030,780,075,
065,950,688,292,517,541,178,599,099,617,015,437,747,426,947,683,857,872,865,
655,280,858,306,622,801,735,334,058,870,954,426,938,170,110,591,730,443,475,
374,537,302,451,879,008,067,406,286,196,056,996,136,494,270,112,168,469,117,
959,692,525,535,181,068,268,388,391,826,119,570,841,590,911,829,671,635,830,
707,748,600,928,196,826,290,807,905,675,549,271,109,182,289,021,185,957,383,
926,046,670,687,414,798,183,048,049,803,269,349,231,347,473,749,622,194,174,
147,639,736,416,508,765,255,853,440,488,749,292,550,118,356,323,497,252,730,
774,002,970,817,520,202,384,464,602,195,505,183,202,199,666,529,903,984,774,
324,255,990,608,293,227,456,030,215,467,731,937,585,473,211,443,588,569,155,
549,517,202,268,357,307,695,188,644,011,588,799,653,182,666,196,730,714,697,
183,220,886,686,412,366,843,663,466,101,252,680,448,202,299,625,493,493,979,
596,080,704,540,634,592,188,872,231,107,972,408,186,257,017,094,337,201,051,
912,431,212,068,016,336,488,566,437,036,447,166,953,883,019,895,079,185,753,
301,234,328,994,519,670,126,626,113,320,308,472,316,979,488,259,236,366,618,
495,903,948,655,605,698,568,843,546,891,643,592,746,193,269,727,872,309,824,
509,949,982,870,191,384,731,390,449,394,021,012,161,224,255,583,109,789,173,
250,303,677,940,749,183,886,439,198,259,820,499,782,707,922,550,497,346,763,
529,580,242,954,261,660,726,176,446,761,291,024,702,635,090,809,259,857,502,
493,615,589,566,126,762,960,835,404,219,800,250,550,600,848,854,886,239,880,
149,521,342,893,859,763,944,962,382,680,412,941,329,122,605,061,182,416,417,
412,997,296,473,662,591,582,347,226,569,553,466,170,916,137,379,963,475,119,
547,444,348,287,739,185,488,477,872,520,342,607,806,874,261,939,784,184,784,
117,024,375,630,162,394,895,362,058,711,436,076,266,922,566,364,522,315,243,
117,816,925,352,941,633,990,994,855,148,942,600,217,804,554,339,862,790,660,
979,926,743,680,775,884,370,565,588,502,226,278,420,310,114,705,629,523,571,
728,314,375,428,659,216,994,798,236,709,725,710,369,435,410,071,502,703,363,
491,241,152,027,280,821,752,046,474,209,958,816,235,240,133,159,685,111,288,
402,005,765,770,634,084,317,732,598,361,173,735,383,183,083,061,284,791,460,
420,568,345,520,208,601,018,212,122,479,263,253,299,493,789,376,053,351,501,
952,021,036,168,074,177,569,682,233,205,149,592,443,383,037,259,783,237,476,
596,989,962,039,284,569,713,798,216,228,603,635,076,629,871,951,174,528,900,
499,245,171,288,654,383,897,928,552,319,741,466,876,410,386,649,595,670,431,
958,151,040,658,537,376,335,248,434,145,084,339,794,581,612,361,938,363,111,
556,938,261,898,929,281,272,872,008,852,113,224,334,258,409,601,813,011,252,
178,092,433,893,281,792,814,031,703,334,808,085,126,130,757,168,757,441,157,
705,662,588,574,948,043,139,144,642,931,525,685,203,580,362,537,389,325,381,
564,869,565,585,255,594,836,073,342,141,020,888,659,568,266,065,552,226,965,
938,060,575,167,276,884,407,505,757,418,138,169,624,797,409,672,043,090,850,
826,834,446,306,859,592,030,313,875,203,621,288,814,422,732,566,717,514,275,
254,518,170,213,823,292,845,779,897,727,419,719,074,429,239,225,821,275,530,
597,493,098,048,049,631,203,545,073,075,196,617,123,159,120,106,518,635,359,
525,434,453,381,433,187,704,019,919,354,236,527,925,383,158,488,801,502,864,
932,870,179,919,146,608,713,430,765,811,505,779,136,092,875,779,364,057,088,
090,027,888,931,381,220,073,966,170,034,182,108,558,401,186,275,328,162,573,
930,481,067,227,829,323,690,007,630,528,549,497,756,879,001,443,834,416,131,
529,628,992,924,545,209,998,919,124,968,822,125,623,090,168,266,979,652,090,
700,670,773,285,715,660,273,726,129,811,625,612,138,838,374,321,337,931,374,
249,943,651,353,782,248,350,516,107,768,696,931,676,728,804,728,725,373,013,
989,453,263,867,844,393,008,097,092,686,096,311,625,536,022,352,920,854,450,
236,031,956,781,781,145,026,023,637,659,332,757,150,675,212,644,494,831,260,
848,700,029,949,337,367,532,397,494,755,420,157,987,094,065,332,618,960,353,
689,118,189,881,896,603,007,237,640,442,404,539,941,269,623,873,244,008,892,
899,426,391,179,860,151,771,402,937,380,038,910,345,831,954,243,133,056,387,
771,498,351,691,802,534,865,397,175,041,065,879,164,238,737,956,432,700,490,
277,950,926,618,626,330,295,384,199,166,186,294,796,129,418,788,855,885,756,
736,588,473,937,353,604,795,608,102,352,507,237,446,908,609,855,585,506,500,
363,442,646,161,377,072,748,579,987,416,940,092,194,863,699,636,876,129,481,
597,753,504,686,877,100,039,689,047,770,226,391,489,031,908,213,516,183,359,
145,447,224,855,680,430,584,285,597,051,813,608,559,396,895,658,435,469,085,
891,787,898,915,663,592,353,710,661,322,510,575,546,876,439,636,686,199,025,
970,337,710,448,540,747,299,489,412,284,510,984,366,646,952,900,398,521,979,
002,987,728,765,109,023,026,378,807,694,048,162,961,577,310,768,449,147,103,
344,075,036,267,153,672,690,657,415,122,795,920,909,278,360,800,979,789,179,
491,631,855,443,463,673,416,078,202,701,857,368,712,611,978,192,386,208,557,
643,796,058,900,570,213,526,394,007,035,058,312,310,487,656,454,913,352,576,
859,419,081,905,483,326,602,152,123,566,491,453,022,407,979,323,838,524,019,
711,912,291,645,904,540,445,601,567,470,614,104,771,624,566,788,920,163,770,
329,792,534,725,424,150,784,341,827,522,169,156,120,722,911,879,254,094,290,
943,241,423,437,847,755,881,763,264,157,892,918,196,583,294,201,457,687,900,
455,767,826,050,732,625,195,684,162,766,419,205,266,903,590,870,170,454,386,
540,477,061,766,212,612,793,768,731,882,682,079,857,417,294,858,869,345,239,
877,932,234,993,384,318,267,644,556,888,543,667,782,315,330,054,633,102,267,
897,793,172,887,580,205,219,116,543,403,794,217,778,090,641,106,669,624,048,
268,869,319,519,561,673,370,880,550,881,643,053,945,037,699,637,764,519,951,
626,189,948,004,131,060,660,398,236,580,914,963,284,610,211,393,440,683,455,
446,949,057,093,543,542,914,530,343,043,617,707,021,162,377,683,127,960,452,
999,390,538,372,093,937,007,374,924,348,217,011,433,316,051,399,458,573,824,
823,373,319,625,125,495,696,787,968,071,372,769,753,410,809,221,836,427,274,
077,034,185,773,514,449,631,857,106,661,674,982,317,135,999,343,041,279,343,
966,978,090,278,778,136,294,326,377,678,459,318,444,323,181,375,762,763,955,
441,045,957,393,201,916,015,461,111,491,926,407,837,028,465,583,769,159,947,
569,992,702,628,719,146,203,216,616,670,347,685,483,842,989,767,828,469,865,
372,104,116,754,440,363,222,820,884,029,905,750,447,290,622,680,269,495,095,
656,752,346,545,950,347,698,481,741,826,375,526,082,531,817,110,790,013,566,
488,677,300,802,745,728,800,514,002,232,551,280,768,298,494,647,097,754,055,
976,934,182,221,772,848,593,707,543,637,755,811,847,880,378,042,639,915,593,
568,500,316,181,432,991,220,867,282,994,220,672,473,874,712,169,305,527,873,
151,623,279,665,659,594,365,153,306,454,346,530,002,178,060,355,750,242,789,
752,335,989,392,843,649,011,498,638,848,978,026,518,110,755,053,296,590,546,
347,728,875,833,340,775,486,176,437,971,780,507,536,891,056,941,947,875,814,
962,223,352,560,392,210,731,393,088,927,680,736,743,304,814,511,477,161,830,
782,665,705,533,300,797,343,534,673,868,785,133,714,591,557,484,826,121,244,
136,453,935,353,420,575,783,657,096,853,946,410,019,575,961,484,521,741,556,
559,485,917,627,900,968,155,042,855,739,341,940,964,944,070,059,787,711,559,
582,776,759,548,250,618,269,766,572,797,918,325,302,723,857,463,676,807,365,
145,734,085,037,116,424,879,884,536,115,395,042,653,496,952,207,072,288,184,
077,759,090,150,153,261,814,178,701,066,991,031,609,937,816,265,675,728,923,
677,173,946,852,644,505,358,242,055,328,027,315,912,627,645,137,144,027,791,
376,087,738,952,267,388,182,817,961,176,096,586,393,669,106,129,220,949,219,
422,322,469,503,381,926,038,915,900,228,946,464,879,264,272,902,099,032,874,
776,822,052,851,125,951,051,235,706,066,946,968,303,887,797,520,977,847,784,
101,223,911,467,567,633,860,850,426,596,476,393,850,165,288,552,308,272,744,
871,171,023,079,650,480,239,161,313,400,862,576,900,410,526,549,699,620,983,
197,659,784,128,185,707,342,813,760,170,978,808,026,779,236,103,499,578,739,
435,504,557,522,070,586,597,033,350,472,290,532,480,667,351,452,781,009,547,
778,436,071,639,811,473,865,741,905,456,549,272,409,418,027,292,818,797,456,
812,128,894,456,934,990,452,319,637,146,706,579,470,886,359,932,175,860,014,
419,618,712,199,723,608,791,205,254,095,659,259,409,119,304,619,465,042,010,
086,896,154,807,498,875,860,776,569,232,489,836,529,292,862,159,495,746,605,
658,523,790,932,570,596,502,931,855,018,922,911,131,037,701,480,134,826,672,
791,907,065,483,737,590,536,466,817,357,507,608,856,049,380,098,220,001,739,
875,039,826,190,225,753,019,622,226,821,161,551,625,789,085,797,176,183,218,
092,638,271,517,360,348,306,516,961,686,971,530,869,317,316,917,370,417,453,
019,812,116,308,169,261,875,964,364,305,871,552,032,429,079,769,436,723,671,
846,388,791,526,767,888,432,779,067,680,182,475,723,844,118,260,752,267,000,
174,610,799,228,883,825,301,475,813,038,627,149,313,838,311,334,073,430,008,
909,497,545,567,995,085,887,181,457,074,022,082,131,783,242,025,309,526,450,
524,572,239,272,783,661,783,594,516,916,485,863,880,399,273,237,280,168,329,
266,116,187,024,324,366,699,617,018,756,899,245,345,362,053,925,288,175,683,
669,455,435,403,648,756,289,631,488,783,973,758,168,209,757,202,547,171,168,
520,570,850,024,225,368,461,577,360,603,900,036,560,313,906,314,857,814,300,
786,918,850,901,940,970,524,369,045,528,210,386,886,268,076,149,025,181,818,
335,849,702,537,393,316,438,349,918,347,119,965,102,681,345,207,547,134,963,
996,270,114,594,375,009,695,612,501,683,838,814,434,991,719,852,243,301,731,
145,437,263,758,342,937,209,951,149,731,183,640,251,681,890,111,660,446,436,
873,764,789,087,404,456,464,388,272,820,827,213,282,035,048,077,477,961,211,
894,286,810,518,651,219,311,162,994,479,093,071,538,324,737,806,687,758,875,
446,882,798,112,141,685,032,144,419,052,452,744,881,768,939,905,826,391,025,
396,020,130,846,874,987,237,752,068,953,773,402,284,957,198,990,220,421,721,
990,691,064,534,803,204,877,816,146,073,553,975,213,615,879,030,354,870,757,
607,904,861,008,397,481,188,769,931,547,510,828,797,191,090,500,483,573,763,
736,769,225,025,554,874,569,330,943,436,660,652,641,607,730,590,845,742,372,
995,841,156,557,587,006,584,333,443,176,481,678,081,844,396,965,312,969,129,
831,267,960,933,535,281,978,169,185,497,200,351,852,676,889,307,496,647,687,
733,705,027,035,811,311,179,257,650,899,130,061,435,905,587,919,581,461,754,
605,208,379,439,459,357,793,706,598,232,979,052,378,556,710,981,325,601,957,
962,850,842,421,706,428,738,294,882,683,207,308,712,112,897,396,053,794,051,
407,040,903,795,498,822,379,501,825,765,718,848,290,612,383,053,681,145,146,
018,407,012,225,446,643,716,813,591,580,431,071,948,078,244,127,641,729,972,
155,306,587,799,939,689,289,701,423,519,592,792,175,846,763,993,643,167,831,
895,457,853,126,742,729,028,830,412,063,332,616,928,406,977,807,833,470,300,
739,636,226,240,018,239,654,528,688,583,499,813,331,000,427,018,578,739,375,
445,919,944,927,355,311,322,461,940,100,700,055,815,717,521,165,815,465,919,
708,321,439,670,413,788,195,083,649,258,236,361,975,638,960,811,568,688,327,
421,271,001,019,028,132,309,722,731,735,324,629,084,785,353,412,810,755,847,
257,809,439,649,538,415,516,250,288,248,635,966,525,019,300,674,386,838,736,
021,333,894,549,013,635,878,531,794,441,108,765,297,422,231,652,782,208,907,
408,712,874,652,009,675,497,330,545,568,832,955,094,494,979,627,499,636,421,
040,533,539,317,584,984,250,860,818,253,285,873,482,613,231,286,386,424,902,
445,678,199,132,570,467,574,498,686,791,161,239,895,315,388,212,582,723,606,
551,241,701,386,638,024,370,571,912,104,374,769,807,804,797,148,975,849,994,
701,879,401,833,062,073,612,495,605,219,135,570,002,665,415,639,396,733,158,
386,610,070,338,942,075,291,875,394,683,901,439,478,476,344,492,647,626,909,
354,734,204,780,318,565,109,503,692,897,829,638,801,428,419,369,512,998,589,
266,143,042,331,288,391,783,724,608,452,514,274,263,476,083,011,761,626,724,
473,437,616,055,824,027,571,255,414,719,469,953,991,228,578,352,777,752,731,
766,633,250,621,100,613,752,294,249,886,774,834,218,489,912,609,378,328,419,
422,248,019,208,962,927,705,263,256,798,163,344,883,459,473,059,648,944,480,
727,098,143,515,850,348,754,354,201,160,304,938,630,515,171,977,920,374,735,
979,560,055,691,447,184,144,513,083,730,593,692,652,358,102,394,089,912,033,
367,086,186,439,669,640,812,320,257,867,334,253,900,134,578,682,520,594,962,
040,475,181,027,124,871,961,271,924,114,712,932,784,095,572,787,673,982,025,
984,102,932,406,837,579,385,308,237,389,293,945,387,266,511,683,248,502,031,
058,053,230,421,377,947,729,859,663,672,371,820,021,424,597,357,319,807,415,
050,979,135,996,006,395,846,783,230,071,265,832,580,761,920,482,778,697,491,
409,232,681,478,599,506,500,228,801,502,508,276,570,710,875,739,592,933,766,
163,172,880,615,532,420,455,912,218,912,225,199,309,873,231,616,973,841,353,
875,904,102,380,983,744,362,449,973,888,173,304,157,600,275,917,931,292,479,
512,169,551,779,649,248,483,296,144,617,326,114,329,710,309,611,782,428,792,
154,370,932,782,520,682,851,874,575,223,081,606,419,802,719,970,515,971,664,
417,019,889,974,786,993,744,914,782,166,877,565,652,783,810,200,359,185,071,
972,599,872,974,551,608,808,200,756,167,266,228,597,637,522,538,922,464,224,
630,723,831,188,717,408,582,335,009,520,334,594,184,972,458,974,991,020,627,
481,636,488,825,533,840,632,987,702,433,155,600,155,696,121,751,958,849,958,
884,773,172,684,228,594,080,782,075,462,339,830,052,854,120,885,744,738,980,
209,181,402,483,941,807,068,164,579,725,161,776,163,239,570,327,539,073,947,
197,988,929,341,796,008,520,569,805,871,062,948,613,529,361,590,784,668,380,
587,465,871,749,656,694,987,257,756,228,233,388,942,534,603,621,867,366,191,
086,777,380,217,019,403,531,275,761,290,000,037,164,301,047,040,074,573,135,
983,602,926,722,822,725,930,291,050,684,205,559,733,812,176,653,953,865,249,
430,055,903,226,409,214,647,668,480,966,195,840,453,989,980,483,064,175,028,
678,638,757,021,544,737,808,927,651,448,365,669,829,359,529,401,234,583,540,
697,642,641,611,059,868,491,478,441,048,439,240,089,004,209,990,804,671,371,
445,290,548,249,822,876,849,495,209,179,009,572,783,735,644,476,124,712,189,
730,866,063,411,862,560,762,620,906,176,695,722,973,300,539,396,707,975,868,
555,700,902,911,060,500,497,187,348,504,853,357,640,062,081,921,634,406,984,
091,915,315,861,436,614,833,861,972,385,128,584,703,909,675,576,365,060,067,
440,396,840,674,510,185,663,701,157,500,177,495,717,237,751,027,915,923,332,
619,823,570,533,988,099,384,915,967,397,500,856,740,919,183,333,944,717,598,
621,684,829,575,621,283,784,895,556,104,144,841,873,122,715,814,444,096,518,
781,014,068,472,858,958,640,393,811,110,964,998,344,315,781,217,085,764,792,
449,708,041,954,431,767,932,487,779,856,997,521,176,085,279,783,989,539,825,
458,687,250,620,338,017,811,561,291,540,302,299,680,250,504,968,542,618,683,
247,856,005,811,276,194,912,669,546,077,389,277,800,857,985,761,774,162,373,
235,964,193,286,925,467,580,780,754,356,747,506,736,732,906,609,866,557,213,
615,641,038,042,736,710,389,429,397,327,180,169,150,947,066,434,047,209,738,
614,161,706,732,901,693,214,858,750,503,690,978,901,441,321,996,361,029,485,
728,898,102,787,255,730,596,262,332,840,012,993,373,799,150,189,782,481,576,
686,705,781,555,404,239,073,104,528,389,058,481,126,258,196,253,613,898,391,
813,694,681,742,442,040,405,911,144,306,647,046,589,244,826,027,009,355,046,
106,555,861,138,825,300,439,410,267,054,276,872,748,505,326,791,474,088,678,
045,318,220,828,248,730,178,896,181,671,390,675,077,630,642,599,795,415,010,
236,839,590,742,184,635,713,191,501,627,741,834,366,735,451,417,062,613,603,
498,466,502,272,803,202,276,486,999,263,590,905,322,045,050,278,055,287,845,
144,598,192,848,706,554,026,349,953,652,277,003,466,573,001,636,906,664,580,
584,071,736,855,899,722,050,462,488,079,060,248,432,237,270,282,170,569,495,
605,722,810,805,925,384,931,981,398,055,730,298,310,895,625,989,021,662,929,
802,890,695,837,258,789,374,047,959,455,492,484,734,752,287,665,141,243,318,
912,395,337,777,678,238,625,792,930,419,794,892,803,078,478,833,225,178,538,
144,856,488,911,235,680,103,843,898,593,926,969,857,479,514,980,563,018,815,
166,691,814,742,945,700,696,827,848,149,835,243,037,901,300,657,376,500,202,
985,170,982,932,370,122,166,417,915,318,313,745,975,368,036,656,531,868,488,
168,614,054,408,169,747,080,108,015,085,492,596,154,493,612,397,331,465,975,
396,964,717,953,012,784,355,359,196,172,498,534,967,252,354,235,275,597,351,
834,078,076,672,205,383,770,364,432,247,729,012,547,770,511,111,652,341,618,
926,731,702,058,427,188,126,383,535,000,943,537,139,979,887,077,820,669,750,
471,513,244,444,727,007,080,296,307,579,935,148,171,614,317,987,389,994,656,
841,174,256,827,263,067,849,720,333,551,996,107,165,872,859,661,299,524,610,
132,505,021,804,914,157,537,911,386,854,148,738,036,150,409,884,813,883,067,
195,213,365,783,537,471,578,491,388,326,998,077,185,837,382,655,950,492,666,
279,668,303,327,074,917,643,934,607,188,389,214,085,341,019,747,541,573,832,
124,352,656,199,121,175,479,846,575,248,371,602,360,176,902,641,552,524,953,
079,654,890,230,874,205,031,241,661,574,805,455,418,332,186,273,876,866,035,
979,803,688,085,134,618,534,828,194,529,855,463,176,377,104,232,327,818,568,
451,427,372,703,577,979,715,830,515,886,262,253,330,210,317,491,628,383,892,
741,993,054,057,563,321,177,161,604,650,529,762,211,305,934,168,011,297,333,
558,048,593,138,332,448,876,360,525,157,468,304,513,652,872,883,713,340,987,
767,519,510,325,203,135,565,243,477,705,251,709,725,262,514,287,814,790,286,
358,855,541,861,665,165,827,371,993,371,082,262,888,709,900,801,646,641,555,
998,382,052,522,886,534,651,435,209,297,002,937,848,933,559,716,014,715,558,
149,180,788,726,512,171,644,584,030,649,539,170,627,758,841,328,223,552,995,
521,318,734,695,759,644,596,898,926,685,691,609,843,135,020,926,140,727,739,
525,529,085,738,187,683,323,014,444,203,319,181,583,788,907,485,901,794,684,
809,248,579,807,882,924,800,905,889,241,456,051,977,553,546,033,872,427,474,
733,187,571,438,174,839,589,332,230,445,978,235,786,614,335,221,521,275,052,
224,474,564,881,602,355,073,960,537,762,493,151,162,562,616,494,391,964,451,
669,076,660,386,229,642,850,781,264,467,637,984,250,124,863,205,020,029,854,
996,630,353,333,662,740,846,639,207,727,973,957,464,178,105,829,269,875,902,
305,848,831,183,286,102,258,036,289,858,952,562,861,629,733,747,739,227,944,
051,591,619,481,997,984,128,924,823,177,930,129,558,818,488,498,504,866,838,
829,270,809,583,303,543,450,124,024,405,886,592,663,361,944,552,788,335,776,
200,015,264,727,501,146,894,507,367,941,756,340,681,168,287,765,325,170,236,
891,312,213,036,942,430,610,443,206,791,798,571,838,849,291,541,997,557,153,
935,153,405,563,501,425,519,318,694,490,319,741,620,734,390,156,547,576,207,
920,924,167,756,380,955,270,014,729,518,251,233,244,114,750,380,857,899,937,
931,751,239,538,153,069,281,472,568,707,571,679,939,693,214,164,410,645,034,
078,799,263,984,162,292,263,999,497,460,408,710,663,938,275,626,516,108,834,
588,041,376,657,751,433,802,855,583,533,876,265,393,921,251,767,224,558,855,
218,916,607,858,340,928,507,109,000,394,751,113,093,145,995,577,129,222,702,
074,664,493,990,397,023,134,509,249,748,315,223,924,123,120,902,997,335,559,
662,809,490,230,643,966,189,137,637,609,997,404,473,569,397,354,062,133,994,
237,071,239,988,315,607,656,112,225,213,729,653,556,634,856,743,810,888,121,
542,562,191,459,798,940,467,781,359,614,640,757,008,391,514,286,038,637,651,
006,421,847,385,411,666,870,123,485,401,090,749,681,088,601,060,518,413,554,
525,480,859,862,580,585,550,080,971,471,881,587,219,534,485,554,750,332,921,
115,543,134,443,289,902,113,242,964,829,307,807,251,115,093,874,872,096,772,
458,786,240,789,046,831,423,377,982,200,450,332,247,692,250,168,829,964,987,
286,197,180,943,255,966,850,365,983,401,518,268,989,650,051,513,655,804,613,
464,899,866,264,727,554,263,754,299,498,028,591,007,764,091,806,465,806,773,
004,160,705,900,524,351,806,189,034,590,435,212,724,822,357,859,959,275,368,
678,279,909,448,352,100,392,710,767,255,396,587,166,567,424,154,046,262,184,
205,592,359,557,994,856,909,913,866,910,462,456,824,596,917,197,288,599,916,
110,231,897,752,508,450,928,885,872,817,880,903,217,512,965,488,148,837,694,
046,938,610,522,701,381,231,426,271,690,920,236,835,417,754,723,152,370,187,
594,694,484,359,697,443,369,681,791,526,826,580,377,666,635,429,152,960,024,
444,517,247,217,788,970,482,467,205,171,521,728,364,957,960,881,992,528,712,
991,744,375,450,864,148,106,772,181,196,785,574,675,458,576,778,900,201,235,
066,998,975,182,858,386,649,489,425,836,046,050,300,332,648,853,962,872,089,
927,065,154,138,975,927,928,172,996,935,741,790,270,702,248,515,549,514,476,
363,808,992,365,728,472,332,253,364,905,308,927,366,215,501,775,800,310,588,
771,655,500,769,920,507,614,476,361,702,083,210,317,954,112,372,609,434,433,
254,894,226,377,268,074,276,111,483,887,229,204,405,510,415,312,729,224,050,
899,697,926,146,841,079,183,972,941,466,906,060,458,976,365,884,859,034,086,
665,598,175,037,636,465,555,431,639,072,330,667,084,563,302,463,069,865,663,
694,464,156,900,129,856,918,969,966,773,363,760,832,056,616,558,778,914,495,
461,555,590,913,662,500,399,992,617,816,406,056,374,689,057,504,921,525,666,
701,404,840,881,381,762,304,027,580,848,727,927,127,407,008,563,078,215,859,
387,296,314,267,759,577,372,259,870,651,767,425,484,711,659,305,195,655,836,
572,850,242,047,176,585,690,431,453,446,848,121,623,444,797,991,442,134,129,
292,749,712,537,543,157,163,691,023,240,484,909,247,672,546,198,685,698,785,
969,823,265,573,137,040,873,986,295,730,594,813,158,747,300,984,690,372,497,
645,580,641,504,729,439,513,874,111,523,229,483,232,898,538,840,964,415,070,
856,927,599,988,277,424,043,561,046,721,154,583,606,276,620,667,873,356,926,
387,023,864,261,251,353,539,170,128,457,077,714,477,938,317,075,465,419,874,
131,556,065,103,876,428,585,240,613,562,352,836,550,421,936,347,926,285,933,
969,175,784,529,388,848,821,525,350,457,208,735,903,877,548,377,589,618,676,
196,236,299,726,552,353,176,560,459,782,702,646,249,997,919,215,946,378,890,
887,940,794,743,481,880,665,285,508,152,917,436,551,868,666,453,271,807,108,
095,494,949,791,095,311,297,720,188,082,070,410,477,290,371,321,140,272,511,
031,487,122,407,375,253,415,939,430,217,717,373,816,180,106,763,094,698,771,
027,186,403,147,115,875,553,782,770,377,325,443,534,390,433,749,323,680,933,
044,232,848,132,246,930,310,671,945,597,715,152,374,738,912,082,648,088,122,
295,012,068,752,939,953,653,210,499,306,192,698,941,295,749,880,326,021,905,
591,778,440,684,055,254,240,305,737,388,326,929,972,800,634,475,642,392,992,
706,457,272,077,799,031,499,880,545,448,627,445,212,888,906,855,461,587,400,
991,279,706,045,940,583,207,782,241,249,161,228,946,400,460,287,352,859,174,
257,324,023,854,711,960,027,128,842,666,323,059,591,393,443,235,972,394,927,
693,268,853,156,644,332,985,473,655,900,050,712,464,390,765,004,376,382,149,
818,639,297,858,009,747,604,911,028,730,028,127,168,677,069,748,650,793,236,
141,480,841,082,274,149,754,709,980,864,890,081,985,080,744,322,824,687,148,
214,536,736,178,193,786,189,925,438,443,249,302,248,800,536,882,039,333,958,
921,716,856,104,441,806,849,671,761,661,567,651,672,982,643,931,237,623,613,
687,191,071,590,482,181,302,548,814,094,141,007,574,526,582,076,729,444,471,
451,258,132,800,500,806,006,510,413,665,389,146,298,449,930,712,876,845,381,
538,351,158,316,735,494,536,447,365,379,650,285,689,988,014,206,120,786,399,
316,769,433,796,599,961,593,489,256,003,267,645,871,025,155,771,038,835,000,
703,580,119,984,619,323,976,065,983,667,267,351,943,855,254,443,880,192,105,
960,165,695,188,001,358,338,989,016,793,897,767,207,094,209,709,270,923,847,
925,638,675,879,730,134,914,011,844,469,748,694,131,550,545,183,657,982,028,
904,837,945,646,016,783,290,798,175,460,046,517,183,413,191,140,443,124,340,
100,287,519,592,880,658,192,053,164,107,375,026,010,234,249,756,769,172,672,
423,666,607,547,909,607,121,765,793,171,675,813,262,415,664,758,415,214,120,
167,057,453,579,177,975,730,625,633,290,834,195,029,825,250,118,209,602,381,
219,803,126,289,119,264,783,250,557,753,559,283,157,400,840,139,485,061,310,
478,321,239,025,475,088,198,913,352,314,298,440,991,727,992,721,356,966,960,
370,315,975,322,944,261,615,534,505,607,949,784,690,531,393,284,949,953,663,
491,039,465,274,532,792,822,898,860,781,354,170,724,371,039,856,258,955,925,
768,243,623,221,578,148,906,813,704,839,596,907,442,014,299,333,751,281,878,
603,920,650,474,390,973,214,762,785,212,959,338,686,063,057,324,598,463,351,
083,409,625,684,056,952,829,055,391,283,025,928,254,149,957,374,002,404,460,
784,219,768,432,382,362,778,840,961,673,918,053,873,126,026,923,762,628,802,
385,508,130,860,586,198,562,315,695,651,409,998,088,121,773,997,488,875,543,
729,799,174,809,461,941,147,011,717,357,656,547,134,806,551,966,986,707,105,
644,339,926,897,414,241,166,860,512,783,390,821,211,498,655,392,998,701,910,
783,921,872,493,577,060,009,762,251,741,783,140,668,273,267,027,851,176,590,
921,456,824,908,154,422,443,578,000,572,411,531,063,499,701,328,247,220,216,
909,354,142,968,359,424,155,054,744,120,117,990,611,914,445,713,069,092,374,
296,146,518,412,319,287,111,597,353,800,687,668,254,168,169,471,070,253,156,
788,202,383,710,323,095,788,644,545,452,892,207,379,014,804,175,664,411,789,
917,349,347,832,138,750,588,646,500,638,920,175,683,773,778,248,352,025,219,
889,150,862,193,339,411,298,119,926,230,687,678,240,535,620,945,602,323,379,
554,026,000,328,369,672,086,719,610,958,523,642,581,315,045,641,575,231,590,
660,440,696,900,440,296,479,923,158,834,023,857,769,417,535,433,873,666,454,
834,119,215,041,104,740,749,026,754,488,038,576,271,673,803,367,357,175,587,
170,755,837,889,510,948,747,637,150,816,977,909,887,500,373,603,074,673,284,
628,761,485,854,177,161,554,428,496,010,697,803,640,215,218,114,230,346,118,
633,256,839,941,689,347,594,015,175,997,876,068,912,451,432,844,685,918,629,
278,423,550,815,918,347,770,432,502,910,469,961,335,905,991,989,349,799,606,
075,483,395,699,766,646,560,713,319,936,374,313,432,443,241,608,505,984,129,
001,419,319,984,855,030,765,732,574,111,672,210,477,610,148,448,780,830,696,
268,310,421,200,317,136,794,116,406,786,844,339,243,867,598,379,776,424,790,
622,768,901,729,573,168,543,682,051,287,139,185,092,772,428,848,185,822,863,
196,635,507,927,217,140,006,484,804,482,157,646,263,171,278,767,890,657,626,
876,792,317,109,573,390,776,062,992,748,042,475,672,786,511,972,543,910,570,
977,746,155,678,171,231,582,178,915,355,255,257,423,621,713,181,982,178,958,
578,435,801,170,640,968,951,110,230,773,587,897,413,534,324,288,572,994,636,
721,554,079,202,349,353,689,606,822,393,474,210,520,786,004,433,911,925,361,
986,706,351,061,802,222,768,288,593,409,940,091,659,383,359,496,584,429,600,
787,661,412,222,766,843,203,837,880,649,021,889,964,715,359,207,079,189,546,
973,015,680,404,710,942,150,413,926,652,239,148,716,892,138,920,010,791,342,
293,550,152,758,650,827,267,836,926,731,491,815,652,210,149,921,538,006,396,
325,394,482,936,978,879,660,890,968,584,029,257,578,099,202,830,847,721,599,
551,162,306,641,652,213,337,184,638,546,266,906,226,165,138,301,640,089,323,
591,332,813,684,134,447,777,932,772,563,338,216,504,759,833,474,942,612,113,
035,215,666,166,267,077,733,188,795,057,780,878,317,306,920,688,954,612,686,
901,544,604,510,801,176,435,394,446,656,280,464,551,434,659,724,123,538,589,
516,819,717,103,949,950,312,408,597,918,977,476,063,527,200,020,696,116,808,
114,393,944,605,177,245,821,327,772,471,304,302,595,711,206,525,630,700,120,
363,701,106,141,117,894,291,304,226,712,540,287,548,799,224,831,061,588,201,
088,592,478,634,115,637,539,618,772,236,501,443,750,229,716,806,085,125,424,
136,813,927,763,884,970,156,679,105,979,448,586,199,484,488,260,191,595,725,
485,232,722,674,109,212,998,349,486,853,882,042,087,178,081,975,028,439,740,
739,408,200,468,260,982,935,099,678,417,310,620,840,541,374,759,383,425,775,
013,040,792,668,521,255,900,782,978,381,532,055,477,763,692,688,959,606,466,
174,426,112,610,933,646,927,029,445,972,937,519,033,027,109,169,125,147,777,
077,614,482,521,984,950,616,920,564,628,024,597,640,254,526,146,187,977,631,
981,985,304,315,911,735,786,392,787,983,291,445,510,848,234,293,596,164,867,
968,349,433,546,853,949,732,420,207,441,897,849,154,958,018,495,167,258,683,
122,537,037,372,880,749,241,024,878,220,333,992,689,929,397,342,571,257,501,
568,572,105,836,558,981,434,563,829,365,841,411,683,784,769,250,288,205,862,
792,146,625,724,961,063,489,034,936,324,794,671,835,263,781,304,658,534,964,
380,101,029,895,004,877,880,037,194,463,413,855,144,067,042,254,913,671,237,
061,537,476,603,701,036,857,801,057,527,984,929,054,492,458,065,416,258,195,
624,186,129,029,519,419,218,087,947,313,517,503,698,979,496,565,498,793,377,
288,308,334,654,968,151,154,953,532,721,520,675,338,059,557,457,938,665,618,
448,172,568,145,605,373,612,674,520,107,894,056,899,156,321,690,313,458,930,
444,919,047,335,600,553,266,865,443,091,993,443,575,749,327,633,493,776,051,
339,633,957,698,039,852,326,239,710,484,074,786,437,531,529,808,504,149,700,
525,932,828,956,318,270,769,719,933,989,678,779,315,173,487,663,523,052,516,
207,201,283,244,308,988,276,342,322,124,255,839,041,367,135,798,786,584,608,
472,824,054,731,560,842,040,292,740,809,015,664,831,098,434,837,593,912,089,
013,842,206,802,014,894,617,153,309,098,832,765,786,200,280,418,980,479,200,
691,887,326,180,829,796,006,922,380,681,098,731,078,322,553,964,761,413,403,
995,894,844,034,063,637,596,782,729,209,941,149,806,625,161,345,510,551,614,
611,356,315,526,601,981,644,561,038,125,712,860,991,887,371,950,444,839,917,
904,685,497,793,820,930,968,545,960,127,010,345,297,947,013,991,281,832,706,
536,808,675,307,431,273,154,095,570,315,731,030,663,678,076,880,742,448,352,
422,130,510,044,995,876,989,072,469,222,186,058,583,329,703,176,390,841,310,
521,745,727,474,573,768,944,396,602,535,215,234,211,757,640,242,468,465,379,
896,747,529,290,346,043,616,506,758,627,104,552,662,744,480,561,481,173,016,
312,989,418,945,075,508,347,686,755,815,857,466,131,759,673,196,921,519,257,
216,705,024,131,842,655,188,386,796,621,575,612,675,989,441,399,477,925,698,
327,349,465,000,094,691,370,065,543,668,577,868,131,365,019,862,836,226,375,
939,033,798,542,337,022,590,481,917,607,125,491,824,756,182,002,767,812,208,
670,907,519,709,761,315,617,321,212,421,075,013,566,280,923,579,253,901,916,
921,094,899,736,149,753,250,058,072,103,344,059,935,553,345,127,878,726,417,
137,687,646,994,869,935,802,864,402,781,817,281,044,600,079,300,392,745,701,
271,991,110,575,330,923,247,484,167,885,266,888,407,250,073,424,453,120,488,
948,461,015,384,410,409,025,300,018,699,135,220,823,219,019,272,911,484,011,
192,063,243,672,834,141,564,309,157,279,291,118,228,742,465,439,020,598,782,
785,788,482,304,922,419,773,636,870,150,365,104,663,944,979,668,094,593,582,
070,446,042,585,982,550,766,604,092,686,391,020,457,753,624,472,356,237,574,
455,676,420,786,522,956,984,927,654,394,866,994,493,185,454,056,157,275,710,
855,343,374,664,738,423,815,018,227,971,830,855,030,141,915,026,799,054,675,
685,114,932,479,785,685,327,670,457,120,028,395,271,934,605,240,433,525,539,
005,201,829,007,192,140,878,871,582,450,470,662,423,820,187,144,211,034,705,
891,475,200,798,860,561,447,508,701,631,434,907,820,973,980,235,463,855,731,
759,107,503,305,057,763,991,299,791,751,634,211,824,264,825,724,237,137,973,
556,333,955,259,945,603,675,415,023,276,261,161,057,208,556,411,007,719,277,
836,921,891,966,014,623,443,756,280,791,293,730,041,516,756,669,474,436,170,
360,522,112,003,772,000,723,500,774,689,726,077,333,112,182,263,473,206,526,
561,419,116,863,773,260,571,303,824,147,234,724,352,006,062,706,278,426,643,
506,161,002,845,108,703,684,698,752,615,856,436,411,460,058,663,135,147,365,
483,677,992,185,971,103,822,155,665,727,130,123,365,003,003,989,816,457,142,
544,540,001,585,237,528,022,155,844,333,533,679,543,156,915,897,564,551,956,
785,174,826,194,151,936,756,596,229,685,060,181,922,497,074,351,562,968,168,
721,995,391,258,191,666,166,283,705,776,652,397,476,874,374,322,762,080,667,
979,508,486,836,298,107,432,001,519,174,336,951,897,641,205,934,175,586,481,
609,511,185,619,012,624,133,687,441,060,889,834,011,200,322,284,616,592,207,
024,133,853,508,079,519,561,366,100,027,584,695,944,531,065,506,967,519,217,
923,596,960,271,147,224,723,872,504,161,565,636,099,394,044,862,894,402,316,
862,713,454,207,361,876,739,856,229,867,244,841,422,222,699,600,014,640,164,
680,041,171,343,909,493,468,462,254,704,935,776,947,021,960,403,047,146,163,
405,778,405,687,639,090,794,270,470,367,815,441,632,854,744,979,085,443,051,
752,438,297,448,796,280,395,439,422,895,854,858,845,442,577,505,710,785,593,
965,188,153,006,520,368,825,706,815,823,338,502,930,946,231,478,617,961,056,
076,620,850,824,482,717,829,144,187,999,790,782,903,491,559,945,283,445,092,
267,676,490,641,044,462,937,186,698,276,273,423,563,399,009,911,766,909,392,
143,629,936,210,209,408,898,172,349,431,530,248,750,156,479,002,762,342,935,
993,562,395,304,630,313,239,830,225,532,030,265,155,879,126,602,048,636,583,
480,375,583,232,149,699,257,828,496,951,739,328,667,326,565,974,150,033,750,
905,668,442,980,248,635,920,753,951,193,757,519,650,211,118,494,653,335,321,
985,029,577,306,104,340,320,895,816,276,244,929,512,455,143,794,577,565,141,
546,369,785,156,675,518,184,622,725,111,726,348,258,438,217,774,593,751,781,
841,747,852,701,286,622,708,202,546,395,960,515,943,332,000,285,571,729,896,
326,362,763,372,030,255,340,095,478,056,787,782,979,979,761,641,620,810,540,
033,143,504,243,750,420,905,226,559,776,085,558,688,635,653,239,925,401,332,
948,074,786,165,563,106,172,623,486,060,963,637,708,379,645,528,433,637,716,
060,905,502,512,235,694,730,786,319,771,631,827,935,622,617,295,708,211,434,
409,873,184,126,115,441,936,897,913,501,008,837,227,381,321,440,918,945,185,
957,456,472,294,639,950,785,605,729,528,078,922,431,641,765,981,670,170,755,
555,609,606,005,712,135,537,231,974,774,941,439,952,060,868,903,376,200,548,
416,266,187,031,347,593,841,802,586,633,671,318,263,084,285,684,296,652,607,
368,141,269,080,295,143,752,255,968,605,780,891,742,384,331,101,423,791,055,
391,672,870,368,177,781,546,558,358,296,085,791,540,996,575,110,046,126,591,
848,333,800,818,114,683,851,627,789,960,434,279,835,618,566,433,098,411,117,
227,156,832,103,799,365,913,032,240,704,785,496,529,596,703,993,737,713,031,
519,973,386,070,902,571,662,961,200,880,788,593,236,130,229,938,515,234,295,
397,814,788,518,001,103,570,243,229,710,609,187,468,338,723,176,730,301,948,
032,533,165,610,811,481,824,759,695,102,602,725,496,754,012,303,516,819,397,
288,896,004,614,923,085,849,983,690,670,388,944,347,497,168,062,182,753,176,
006,149,909,057,524,961,504,771,016,281,838,791,402,864,979,083,169,119,347,
695,187,981,289,566,634,782,766,688,226,171,146,434,038,042,217,779,493,536,
564,225,328,874,424,439,376,662,082,724,729,576,034,103,327,044,117,041,809,
205,683,484,062,348,560,585,657,773,567,040,696,652,159,242,759,553,638,827,
115,934,705,216,900,360,127,004,993,443,487,797,210,666,033,016,775,808,478,
794,929,243,279,916,522,270,312,235,716,559,634,054,312,827,754,406,843,126,
874,951,204,067,139,695,067,851,981,307,439,798,514,465,510,228,020,025,517,
428,626,909,246,233,930,805,336,041,856,948,954,721,521,521,841,160,074,007,
060,896,304,178,375,212,791,491,521,678,332,614,786,969,944,569,054,766,980,
059,120,514,631,457,576,143,429,657,970,667,469,795,328,302,191,987,635,966,
640,666,070,322,306,370,426,307,714,022,052,384,613,865,632,899,718,120,440,
583,072,915,143,423,307,459,496,833,246,258,655,044,426,497,490,509,469,018,
967,290,071,528,355,358,217,037,102,052,567,922,047,613,531,500,504,671,287,
765,048,913,345,976,639,732,052,842,917,570,318,409,515,917,007,984,055,079,
439,418,746,920,094,461,507,635,622,446,279,112,199,380,224,230,228,047,410,
349,350,165,099,455,341,064,874,648,408,542,766,660,092,807,597,835,014,112,
772,957,079,358,146,928,353,594,249,414,691,321,952,978,689,729,863,864,514,
933,333,320,620,845,958,775,087,574,737,353,594,762,667,031,921,832,173,793,
470,311,473,588,426,104,047,408,693,771,111,593,754,405,500,214,919,414,853,
583,634,444,790,871,497,929,819,825,666,831,797,237,885,941,634,932,442,593,
061,320,402,405,589,459,358,901,414,777,181,407,700,474,053,250,751,248,995,
692,510,786,054,908,661,706,534,258,325,411,491,677,646,187,288,183,298,060,
019,196,688,692,738,638,228,033,257,394,867,548,407,382,985,924,600,649,108,
807,432,069,551,653,093,137,051,785,171,975,531,560,966,009,488,955,093,883,
217,009,295,364,728,142,502,952,674,890,154,047,658,533,584,631,594,145,711,
764,208,838,502,999,790,674,697,209,904,760,651,501,755,423,534,277,280,466,
617,821,223,211,711,688,695,035,949,755,561,323,986,805,008,301,134,676,331,
670,718,859,609,650,375,246,893,522,382,290,161,974,091,443,783,886,006,173,
221,013,528,685,547,419,585,594,885,538,228,887,159,313,227,036,369,258,873,
773,950,746,216,274,806,525,988,260,125,882,782,859,514,945,634,369,418,024,
543,016,229,058,312,691,478,547,796,244,453,533,847,623,698,511,947,926,412,
157,178,697,067,735,140,941,244,070,044,220,652,292,329,089,913,967,530,296,
340,824,471,963,941,187,100,784,863,841,176,174,688,264,950,659,415,113,786,
483,473,621,386,393,555,525,892,211,795,582,603,011,963,443,269,700,386,689,
672,930,410,348,183,172,019,745,393,051,228,222,909,414,851,876,603,786,551,
606,864,224,335,570,214,339,638,635,845,406,087,420,124,890,407,955,787,020,
243,014,221,377,712,872,670,082,012,237,331,492,213,931,905,725,443,307,714,
649,842,678,297,919,775,387,545,734,228,228,814,413,913,056,750,207,099,254,
171,065,507,974,174,902,537,342,390,177,221,383,425,694,588,070,973,239,786,
940,009,744,615,712,005,520,446,593,027,383,737,820,621,510,664,849,117,453,
839,805,760,321,209,111,710,291,144,238,773,796,858,797,819,128,778,436,649,
446,404,235,129,825,344,291,660,872,571,985,684,951,810,870,621,067,996,803,
339,083,671,147,807,326,952,369,821,563,332,285,228,273,006,742,700,319,546,
256,457,897,499,569,281,389,516,181,757,246,184,409,323,422,230,149,462,478,
497,424,614,018,673,397,089,476,748,221,662,285,077,479,736,121,063,906,579,
160,408,882,777,152,873,323,747,152,741,638,920,561,303,484,754,503,720,624,
987,371,923,964,866,308,880,885,284,467,649,623,754,908,452,949,806,570,936,
608,584,776,933,852,986,391,311,983,896,840,014,219,705,729,385,208,568,686,
454,811,009,473,493,592,120,484,256,294,330,205,052,654,478,286,577,193,081,
259,720,335,028,613,107,895,494,202,962,240,170,689,489,222,491,134,733,907,
830,748,224,608,990,856,017,589,507,948,002,242,744,744,911,105,542,592,398,
016,588,421,903,601,255,361,785,534,924,037,871,580,125,058,018,187,534,190,
785,906,431,514,954,815,414,373,844,755,348,620,475,696,704,318,033,592,404,
355,993,110,935,011,507,634,978,036,432,439,702,967,438,273,543,835,973,816,
425,194,208,454,906,423,043,749,481,520,164,493,119,012,793,539,411,979,967,
204,090,267,391,952,547,827,011,383,144,724,134,149,173,653,949,743,650,064,
244,266,776,172,202,294,185,093,927,500,414,662,039,689,273,319,114,703,503,
530,308,929,087,038,862,058,055,341,970,361,672,215,672,400,864,459,513,847,
959,694,341,067,088,136,356,491,490,098,713,830,575,673,918,421,616,364,575,
338,139,695,543,685,354,593,196,257,192,495,440,886,396,943,589,634,361,468,
643,577,425,395,110,096,492,935,346,029,312,721,305,600,638,524,891,270,645,
516,636,992,620,696,040,547,058,167,843,320,263,585,947,323,698,990,229,734,
695,973,947,949,625,833,580,015,647,252,660,328,217,535,253,333,910,685,499,
333,290,090,094,817,550,691,625,157,811,426,543,805,939,260,180,427,298,640,
220,575,243,628,369,169,149,982,187,167,032,624,689,231,245,893,550,767,210,
628,315,396,523,262,204,521,938,187,632,747,740,124,981,310,981,790,856,643,
753,819,633,097,455,999,345,172,155,362,786,990,855,422,708,009,564,791,835,
300,737,781,445,847,166,360,162,439,971,752,560,477,669,517,209,803,355,349,
251,195,931,893,428,031,332,812,422,142,520,826,379,100,648,868,740,169,851,
772,023,729,262,495,759,020,872,517,020,420,247,950,469,837,660,437,738,249,
303,591,381,135,916,662,569,006,739,701,850,929,873,829,636,599,935,780,477,
933,466,565,740,751,054,661,614,680,521,486,450,588,196,746,823,434,379,079,
193,023,145,320,261,725,863,267,558,131,032,528,270,775,528,235,867,687,400,
434,256,067,481,654,818,307,665,239,097,924,206,886,113,665,851,668,794,377,
877,904,065,964,449,992,555,789,495,423,212,574,858,216,537,767,367,990,017,
131,924,183,842,494,620,340,566,388,761,527,468,374,041,479,448,909,490,792,
001,423,874,853,383,276,648,892,187,911,042,633,839,443,767,263,574,864,799,
860,859,321,646,467,053,242,659,443,794,923,526,548,384,268,964,051,673,877,
540,204,805,916,815,741,078,997,377,828,242,126,220,400,595,159,450,713,728,
311,225,791,393,543,731,679,836,235,695,953,624,676,318,366,273,035,480,054,
536,545,382,560,395,995,960,815,893,316,959,291,830,654,974,583,462,981,171,
601,653,832,158,618,037,058,145,503,393,998,456,456,084,543,212,307,996,722,
979,357,126,065,071,242,113,709,353,948,908,359,643,647,370,583,501,477,881,
636,350,941,981,527,884,655,631,284,671,502,031,082,772,386,873,442,976,699,
600,903,038,777,873,218,168,069,082,166,965,806,370,294,553,179,221,143,849,
987,109,844,072,373,397,817,214,460,583,263,564,962,302,290,017,377,281,158,
894,300,232,915,185,999,497,053,909,031,126,809,461,137,002,985,449,119,341,
203,965,443,557,755,152,935,167,696,446,728,579,276,367,603,470,456,136,796,
586,303,573,035,854,541,205,812,420,986,644,133,944,743,429,697,646,928,765,
281,157,407,441,311,578,443,214,345,169,475,812,448,913,752,406,456,201,332,
336,643,006,645,715,395,985,775,429,830,350,669,814,627,233,017,430,565,197,
935,916,819,512,956,820,653,958,994,537,338,178,584,519,591,134,451,502,192,
660,650,676,716,702,879,937,000,391,811,761,295,918,635,527,819,659,400,818,
096,456,880,876,337,542,510,153,997,693,673,181,998,832,511,895,899,654,503,
352,960,552,360,022,766,276,828,988,866,844,312,703,214,501,060,094,820,836,
501,956,130,031,194,823,363,287,026,318,948,095,763,429,745,476,582,597,066,
529,233,148,540,427,159,465,108,200,047,235,889,906,077,028,713,199,406,459,
598,344,233,754,843,168,526,512,181,432,059,456,115,270,366,770,933,957,003,
561,116,330,618,601,649,936,264,919,734,682,863,650,945,112,329,666,381,452,
697,812,602,140,752,805,769,279,875,239,943,640,561,049,140,198,338,041,161,
395,550,629,637,133,967,041,502,867,040,742,013,349,468,638,769,998,763,745,
549,335,794,078,758,979,981,910,665,859,977,101,979,731,118,911,457,940,504,
471,633,666,956,470,420,469,401,782,070,541,776,679,938,363,606,029,722,485,
381,361,027,635,080,250,280,260,743,770,204,972,763,259,797,735,107,302,597,
017,024,834,308,036,243,866,482,043,017,048,876,378,819,038,628,145,698,331,
284,405,456,826,744,051,772,671,249,865,285,678,533,074,139,259,503,533,279,
404,393,082,386,351,401,044,733,066,666,535,778,875,297,418,832,741,587,797,
355,195,255,035,715,686,239,375,943,195,437,798,646,929,922,758,493,138,328,
070,391,279,408,410,676,401,195,902,787,103,732,804,519,471,321,927,147,774,
473,562,864,839,439,275,591,812,118,643,773,234,283,313,056,342,562,823,693,
453,839,665,569,828,855,814,502,151,149,097,720,608,404,405,810,343,110,902,
991,893,291,927,555,152,118,405,895,788,021,756,210,598,876,874,033,969,950,
908,473,880,555,740,037,843,016,869,291,438,368,561,043,850,364,600,910,922,
891,623,845,407,372,680,192,336,493,934,813,950,310,799,761,433,589,525,709,
937,118,411,485,533,562,360,846,706,611,943,684,555,073,483,158,736,682,561,
653,534,673,286,807,481,191,715,543,393,986,092,362,691,819,019,337,420,847,
257,036,787,330,526,164,385,409,140,205,670,706,389,350,422,559,740,765,135,
545,826,076,806,459,565,235,790,261,565,823,880,337,223,146,637,200,358,563,
007,553,176,817,976,318,109,021,230,010,300,425,138,522,747,006,519,476,035,
949,560,828,297,274,426,892,434,090,151,109,969,639,839,467,543,498,235,363,
005,189,259,778,806,760,465,801,001,289,556,585,954,309,816,040,769,842,758,
005,625,138,435,278,979,150,215,371,978,428,771,216,704,797,319,386,850,193,
720,722,075,459,286,609,741,970,335,586,924,472,069,380,517,204,954,665,535,
950,012,406,413,146,071,279,546,039,543,354,718,608,441,484,386,009,698,122,
933,525,906,518,752,386,182,561,483,624,422,801,776,258,018,601,781,677,873,
058,829,771,735,720,632,740,488,710,580,351,871,190,419,387,328,332,580,248,
279,305,360,147,416,094,482,809,267,258,926,732,850,247,236,984,684,449,187,
514,814,346,072,128,059,711,954,986,445,943,921,251,063,213,297,572,299,135,
053,354,762,365,220,313,323,971,923,105,387,071,466,063,593,313,184,174,963,
567,350,037,310,177,547,850,830,224,457,696,869,682,720,434,488,282,940,164,
455,147,502,878,818,851,355,907,551,097,480,834,789,612,809,356,019,360,408,
429,492,630,648,052,564,670,590,308,425,407,184,874,169,390,831,210,953,644,
248,916,134,372,204,788,202,369,288,934,751,467,474,577,893,156,092,154,783,
186,449,715,527,112,120,255,451,807,317,441,052,904,598,565,330,514,996,373,
962,191,297,286,490,736,352,867,484,210,641,350,069,629,414,311,508,499,073,
620,130,362,942,260,259,235,241,975,516,060,824,074,666,067,006,870,637,331,
931,666,573,157,874,707,607,293,371,934,346,692,236,210,325,383,401,103,464,
367,702,798,786,584,432,965,052,390,743,660,081,887,921,245,051,746,476,150,
661,993,406,858,903,512,503,611,600,898,965,894,144,842,675,214,110,633,217,
217,588,177,401,649,555,290,967,773,322,121,065,168,668,149,241,439,254,371,
535,748,372,419,370,024,132,371,052,312,816,108,186,031,256,475,871,250,872,
184,810,940,047,225,026,479,383,865,372,289,274,631,813,494,277,762,999,400,
029,118,067,858,855,847,135,386,436,037,587,122,556,559,590,803,080,342,577,
415,303,207,276,225,907,111,147,831,645,949,363,286,126,676,015,864,055,979,
305,750,240,402,959,959,642,565,052,026,976,544,193,676,103,465,703,478,304,
038,720,009,890,562,844,800,909,139,056,956,786,765,392,630,891,411,032,885,
430,958,938,025,166,476,385,758,077,387,172,277,023,751,479,816,409,248,643,
626,082,040,209,885,225,377,205,199,050,020,819,363,226,739,162,046,712,849,
506,648,589,094,047,270,249,704,842,053,917,377,215,387,129,003,235,831,106,
134,927,474,756,083,746,524,815,841,195,790,268,635,464,067,596,105,315,817,
849,172,956,301,773,916,099,414,173,029,203,031,492,665,261,165,169,751,183,
643,014,254,787,572,069,585,725,130,023,312,171,257,980,370,186,193,374,529,
250,985,229,421,643,724,979,358,216,064,008,925,772,982,519,404,787,813,255,
441,465,597,656,419,242,135,552,688,981,803,081,931,964,637,471,153,514,865,
982,562,027,360,541,945,242,121,511,033,119,562,956,891,690,008,665,341,477,
851,994,238,653,815,593,753,826,654,143,930,457,547,187,076,489,433,940,658,
947,674,842,581,574,021,768,064,704,420,291,044,717,418,519,791,476,646,993,
197,786,301,524,823,457,957,830,406,805,338,551,123,009,772,409,660,963,229,
582,339,097,351,296,604,579,290,744,381,230,076,901,072,343,924,603,534,960,
809,996,342,152,414,025,070,176,726,328,479,523,773,187,225,032,268,572,415,
520,660,996,307,141,416,774,630,518,280,595,723,860,921,513,626,693,885,012,
225,181,656,451,199,031,415,822,168,163,382,257,718,946,598,911,134,977,665,
233,085,200,775,644,988,206,417,904,984,186,447,150,971,183,115,682,455,381,
223,058,004,853,784,236,917,167,140,668,164,242,850,173,786,286,535,242,957,
283,031,209,093,570,677,377,896,521,740,215,444,997,110,897,316,832,488,193,
824,068,075,682,681,912,250,247,059,698,284,860,824,635,258,996,928,259,195,
453,927,717,836,111,095,329,533,348,893,232,708,583,035,737,929,204,039,636,
930,460,684,906,136,965,406,803,705,813,617,199,924,987,562,805,532,700,196,
613,114,352,298,314,900,661,588,203,023,762,615,144,192,842,042,631,672,528,
861,294,573,194,313,428,661,945,919,887,592,296,048,913,781,288,643,107,723,
944,162,275,098,032,143,021,204,915,456,942,482,905,636,070,319,236,683,363,
334,167,795,065,369,954,913,815,687,789,730,868,192,533,016,267,656,126,487,
603,737,568,428,357,673,432,047,325,869,014,839,681,453,390,305,712,508,194,
797,553,371,791,438,322,693,626,062,883,465,266,168,907,632,186,613,816,963,
121,952,303,348,045,995,664,352,551,377,623,409,126,904,348,289,166,682,189,
560,650,711,048,649,642,603,855,229,717,273,833,866,221,596,252,036,218,217,
346,680,782,317,536,162,265,723,876,056,902,043,920,692,449,809,583,533,516,
992,889,450,272,600,027,898,947,637,899,933,850,406,514,613,527,079,787,632,
563,040,782,338,774,009,903,852,102,930,982,416,218,417,387,575,609,345,054,
875,744,341,611,137,945,042,905,382,663,599,286,580,172,869,840,067,695,255,
063,227,417,363,106,480,781,257,439,164,272,095,119,523,252,929,164,348,177,
612,701,057,465,749,171,379,647,389,299,861,362,153,870,217,807,743,477,434,
162,140,926,269,131,642,830,620,548,856,443,022,140,566,014,211,350,805,903,
873,425,714,875,536,893,237,703,326,290,197,953,277,872,804,932,528,637,628,
358,122,182,762,876,899,999,323,253,649,889,829,675,162,754,517,740,948,468,
652,982,004,187,097,620,261,238,710,440,408,710,725,619,511,252,128,111,257,
872,244,066,281,383,672,608,748,533,617,005,340,316,521,797,896,691,364,633,
543,740,559,323,863,919,802,954,201,582,327,669,245,731,363,731,609,104,446,
263,779,953,560,144,988,329,890,896,236,717,206,705,653,605,625,984,372,632,
999,733,699,246,926,531,050,348,758,736,465,895,565,779,970,468,801,095,545,
193,755,886,324,605,847,619,446,993,584,264,817,657,468,761,469,595,622,659,
969,414,928,032,342,008,800,547,703,543,584,679,275,901,232,434,702,184,866,
758,773,202,391,638,130,141,181,889,228,738,167,497,008,969,374,202,622,020,
464,585,060,690,768,259,299,006,637,450,117,780,048,201,468,405,537,989,087,
847,830,701,899,160,434,697,318,321,096,028,446,437,875,773,503,643,937,809,
285,993,549,384,577,615,397,518,931,932,413,129,168,568,013,058,317,799,715,
350,597,392,332,457,936,397,585,566,584,022,407,202,076,681,053,914,202,644,
367,681,517,711,318,355,364,245,537,970,817,420,172,658,237,636,044,727,637,
454,111,100,243,483,660,397,582,202,522,727,959,991,006,568,671,437,166,902,
642,807,573,392,177,910,095,975,924,958,905,597,877,708,237,058,234,736,886,
369,544,102,018,938,530,659,204,262,957,921,993,755,624,465,761,631,959,272,
564,916,894,796,863,959,076,215,432,327,297,927,313,046,777,817,639,010,201,
111,790,591,997,404,808,572,469,743,688,611,613,086,296,579,524,417,268,994,
410,060,751,782,729,712,151,558,375,398,828,182,983,074,133,658,726,643,866,
553,184,226,539,825,806,441,468,300,066,809,411,772,719,525,875,039,545,028,
767,154,468,562,824,198,251,318,277,699,711,724,805,450,875,441,913,822,723,
066,845,694,298,186,295,383,073,137,494,832,189,176,883,687,469,932,989,704,
774,953,961,949,933,620,003,951,810,260,232,100,943,118,698,882,741,768,756,
908,083,023,721,159,449,281,528,984,937,913,302,401,812,348,720,337,282,143,
953,795,433,051,346,522,561,786,137,911,434,979,810,347,945,123,851,231,466,
617,346,886,841,456,786,690,984,330,865,717,915,976,559,209,196,779,303,540,
237,217,189,470,178,643,657,823,147,993,052,054,706,921,811,965,599,548,880,
933,796,752,626,121,054,917,078,280,096,735,890,800,275,566,696,445,929,829,
169,243,801,430,859,664,884,336,611,484,015,718,329,995,623,347,773,231,093,
119,928,986,261,657,999,543,078,249,858,082,829,090,385,887,498,444,089,284,
451,375,775,755,196,219,293,526,191,224,281,191,337,012,642,369,631,386,528,
794,371,522,408,384,040,080,859,403,222,060,959,964,191,004,068,742,265,646,
676,485,976,629,824,604,772,977,830,100,384,219,500,142,265,546,416,428,775,
553,081,873,270,232,200,529,300,673,267,445,215,537,152,041,947,170,899,538,
317,186,070,324,224,154,446,220,066,699,522,958,504,605,459,254,370,150,447,
447,233,027,818,900,413,363,582,473,176,119,777,795,538,106,686,674,080,163,
403,223,296,398,028,315,497,094,547,110,178,120,011,929,010,144,993,447,049,
756,030,047,950,141,987,492,387,315,105,999,605,076,020,995,884,092,122,762,
927,048,288,062,503,425,398,957,402,047,903,473,314,910,001,929,245,081,078,
985,290,268,735,120,460,821,047,228,556,007,730,736,167,028,468,232,423,431,
396,926,967,819,400,024,476,937,996,957,210,326,742,597,729,372,055,988,853,
237,112,832,997,911,460,631,988,723,630,505,990,622,998,727,115,708,372,645,
057,662,039,307,296,750,899,092,152,551,925,361,151,518,673,672,416,652,724,
885,204,591,720,180,759,746,545,906,279,051,994,798,357,383,312,946,015,489,
007,586,410,820,856,630,542,525,082,963,415,236,954,033,169,111,638,923,451,
515,702,251,871,218,508,752,220,410,152,278,198,723,298,160,502,853,311,056,
685,703,870,852,817,017,179,996,482,310,930,432,191,559,193,904,198,588,579,
494,998,826,124,739,778,434,158,702,718,810,341,805,689,857,926,867,714,170,
477,147,129,535,080,238,238,002,594,291,869,508,201,086,577,654,227,065,910,
649,521,379,541,749,663,400,122,790,249,490,761,811,503,837,771,449,218,984,
799,491,172,875,075,502,485,107,106,652,911,747,545,719,169,070,980,161,830,
792,762,958,753,762,303,218,665,546,337,584,510,994,617,697,643,627,416,834,
156,772,874,970,040,907,995,172,345,405,970,097,598,467,689,436,139,617,483,
104,857,403,417,128,967,758,781,449,752,416,905,018,865,579,321,807,870,301,
107,185,605,417,433,247,495,475,211,601,789,394,013,066,951,997,905,608,273,
805,185,173,855,561,063,486,365,476,394,358,213,304,967,883,260,933,848,854,
994,974,343,841,534,589,028,816,361,319,763,627,182,312,269,983,936,732,934,
254,040,092,002,173,205,852,853,489,833,451,304,873,422,596,888,261,372,323,
943,095,447,535,133,956,620,527,760,719,635,508,486,148,317,271,471,679,413,
711,232,921,687,927,943,820,933,769,527,616,194,597,133,518,782,200,608,018,
597,830,161,544,881,186,672,296,779,773,820,243,649,305,004,716,706,980,204,
119,265,021,389,663,713,124,184,591,643,293,821,903,752,293,424,661,416,413,
044,952,520,860,980,992,964,647,452,839,191,782,457,683,060,531,541,161,904,
650,525,719,491,191,417,672,914,902,380,816,782,677,904,536,237,823,563,248,
977,484,057,398,738,045,021,884,483,249,093,718,439,781,640,762,035,557,008,
319,917,074,693,423,489,926,613,160,616,231,443,460,529,542,700,584,521,013,
457,989,810,220,256,236,176,550,981,761,472,137,498,604,312,994,036,936,722,
982,972,180,030,467,141,060,233,136,981,611,329,473,006,940,662,723,073,278,
056,956,352,498,066,904,155,187,447,539,155,906,567,264,270,147,892,530,357,
550,876,039,321,962,533,457,805,202,494,248,107,025,560,690,650,182,781,370,
960,537,019,590,014,277,520,811,125,478,877,817,689,714,669,692,512,954,597,
668,772,191,221,707,515,428,277,641,818,897,185,575,615,286,553,937,730,257,
553,411,968,383,946,414,981,937,009,346,440,153,729,886,828,195,358,632,060,
111,467,934,944,920,305,404,997,683,061,450,704,652,772,805,779,013,524,505,
860,877,837,914,483,453,608,292,998,818,388,732,321,663,670,243,589,853,558,
359,721,079,136,088,028,309,210,310,158,053,755,282,930,892,707,246,871,833,
033,810,725,286,902,415,196,043,687,734,932,334,172,757,704,134,301,280,046,
698,476,892,303,530,152,157,687,530,134,722,817,601,882,218,243,278,189,596,
363,922,475,668,062,416,154,309,247,409,424,413,602,113,517,776,585,014,915,
047,955,137,033,042,041,745,738,025,162,722,526,558,775,037,569,611,465,938,
077,285,951,880,730,814,828,148,452,296,159,825,721,720,260,939,956,997,030,
093,328,596,993,148,873,479,779,104,510,321,829,319,901,181,208,228,507,356,
012,671,056,331,550,373,128,243,618,873,720,217,714,743,068,770,436,955,398,
458,404,539,886,059,792,334,476,108,038,065,301,712,320,238,704,206,871,840,
851,218,988,638,835,858,970,834,559,750,301,277,222,224,787,051,805,359,133,
509,048,672,487,519,339,346,499,540,642,870,351,776,800,045,237,985,507,024,
223,425,443,012,903,991,087,187,197,009,266,994,578,156,636,918,669,325,786,
213,034,176,017,458,107,620,108,124,385,786,727,443,543,089,538,705,584,774,
197,676,588,879,452,765,280,998,865,149,615,566,534,713,866,995,628,237,024,
513,363,402,343,672,599,412,107,653,082,073,590,891,460,016,289,075,445,124,
125,049,962,111,149,332,928,414,527,626,047,347,719,875,659,188,965,813,587,
201,279,458,694,205,118,847,087,959,554,350,333,962,426,821,444,915,146,515,
397,955,436,917,188,536,501,288,688,155,506,995,501,288,283,276,747,996,409,
624,298,726,528,497,976,828,973,109,082,815,269,504,840,781,600,504,191,786,
735,905,068,026,685,251,716,438,046,367,370,946,368,463,456,413,631,113,606,
314,553,119,168,550,475,530,943,712,897,810,423,407,442,137,801,983,189,985,
867,233,943,112,032,360,302,450,222,738,274,414,897,210,908,769,410,659,281,
979,001,788,115,835,258,156,299,757,260,189,678,113,081,377,817,493,819,723,
417,217,448,165,234,762,177,722,272,179,779,392,257,240,752,684,725,059,545,
148,749,091,681,421,502,013,265,341,752,369,548,019,203,387,901,826,810,953,
733,521,421,630,339,780,287,935,720,962,876,571,261,155,371,354,776,892,386,
205,442,967,400,524,501,179,363,507,343,936,792,255,962,523,558,308,355,841,
829,662,202,473,109,902,237,782,219,741,480,536,256,277,895,571,492,608,292,
983,957,573,891,429,362,084,609,215,052,482,249,943,255,068,740,319,292,058,
598,505,303,887,841,994,479,540,798,784,399,937,540,068,228,310,703,874,825,
068,159,588,248,614,342,447,339,276,674,433,906,274,921,919,695,309,784,686,
782,882,810,133,718,425,089,564,867,231,520,392,372,471,120,330,409,449,166,
053,116,149,554,768,339,868,339,713,731,998,825,725,335,847,544,943,529,306,
507,166,208,258,058,338,253,707,968,359,560,254,372,133,452,385,396,537,681,
565,276,273,130,276,944,766,927,648,720,096,812,555,274,926,212,159,337,143,
931,795,902,853,056,159,122,063,706,175,866,255,768,859,546,037,499,765,451,
646,129,776,192,212,509,242,292,003,641,513,953,186,230,364,753,908,783,392,
147,686,116,898,712,773,954,126,879,273,960,611,799,338,552,546,344,514,190,
556,809,556,225,928,103,158,705,755,687,194,148,258,696,949,139,596,398,783,
772,161,242,901,323,524,532,681,631,053,715,793,287,010,298,469,921,089,761,
249,479,642,066,419,336,080,004,421,201,180,919,770,679,208,133,116,072,039,
138,774,589,319,139,910,754,931,139,414,455,874,659,757,150,502,426,996,869,
643,822,540,044,769,581,392,709,037,414,377,987,634,326,634,807,137,903,140,
802,640,653,894,474,182,473,175,595,565,243,465,918,192,755,842,924,255,537,
272,651,914,828,463,031,136,098,438,507,907,547,137,184,606,790,437,988,467,
397,612,624,794,517,811,564,223,126,234,154,511,627,414,656,653,331,096,562,
340,956,671,042,887,968,376,752,511,433,957,923,632,190,420,076,695,782,597,
615,464,233,069,535,605,427,332,553,176,737,269,774,893,881,381,386,633,602,
478,512,549,974,312,727,150,186,700,026,755,192,532,981,962,705,862,802,465,
216,571,426,347,255,550,917,418,576,477,049,863,516,835,242,326,330,932,686,
255,283,863,955,155,067,200,468,831,635,710,308,350,572,979,333,059,128,589,
493,371,541,694,549,073,884,904,635,520,224,740,538,844,444,032,765,112,503,
665,593,848,872,160,596,189,453,220,152,763,314,914,531,802,266,689,255,800,
546,296,873,237,214,895,058,660,675,351,733,127,066,471,243,178,990,120,968,
133,259,206,226,616,194,071,448,522,649,012,743,260,362,608,843,025,830,252,
863,593,835,587,018,507,855,903,876,578,915,116,578,328,542,465,797,640,012,
549,599,194,819,318,937,649,452,355,146,620,646,045,894,501,557,490,656,562,
558,511,848,368,866,395,775,971,343,813,115,934,874,751,389,466,942,703,445,
055,726,346,814,477,250,320,137,036,683,850,851,967,203,136,946,661,607,798,
776,924,605,033,681,805,207,945,024,511,267,594,010,526,923,792,795,113,967,
269,745,826,347,005,203,079,459,497,534,868,088,892,477,933,469,712,021,413,
124,779,124,185,604,052,880,868,018,981,540,581,061,215,614,466,609,631,381,
221,570,795,158,049,281,473,157,676,308,470,865,377,434,363,880,129,229,906,
804,593,283,252,143,558,336,738,153,361,426,784,080,292,065,595,193,587,732,
848,511,224,087,788,020,854,770,630,749,377,862,986,177,072,498,146,238,595,
666,718,405,857,996,989,044,453,945,571,209,584,076,346,524,021,118,856,699,
455,639,788,408,377,120,495,975,319,927,365,512,312,683,761,760,510,312,529,
157,521,594,661,504,412,736,835,067,640,102,910,985,394,071,024,623,254,627,
161,049,888,550,766,376,208,682,505,500,557,462,232,462,363,704,353,760,578,
420,195,528,406,295,537,863,014,316,740,998,570,249,895,401,891,470,920,870,
767,734,862,817,578,303,886,746,752,774,158,189,409,539,721,020,876,689,370,
907,588,958,247,819,775,478,710,355,177,454,866,077,828,978,254,484,218,878,
690,835,086,820,191,132,115,835,255,599,602,483,580,899,982,251,798,498,896,
674,455,448,866,142,792,524,037,558,145,452,066,355,073,576,167,035,745,150,
051,659,349,788,640,352,061,096,258,759,884,249,060,620,893,899,268,803,629,
234,638,924,146,270,977,803,897,812,743,187,899,058,222,521,395,721,786,573,
484,596,743,100,195,818,633,850,605,346,923,789,059,584,034,309,215,274,429,
267,914,133,359,122,339,672,857,118,585,262,997,887,353,931,746,307,259,152,
432,171,284,064,401,236,895,068,622,691,323,187,470,112,688,606,700,490,660,
960,036,399,281,500,382,376,907,949,452,637,797,391,179,866,595,115,880,982,
211,517,797,873,271,019,818,221,406,471,329,484,580,967,917,800,352,892,296,
651,546,624,306,811,878,737,857,905,738,121,273,162,239,294,815,393,496,004,
437,102,707,716,796,163,660,877,871,134,821,224,622,098,988,248,899,367,507,
558,984,352,182,043,235,512,700,738,002,593,667,906,800,819,924,280,299,497,
022,411,569,315,851,186,740,320,662,307,547,091,938,932,271,773,560,244,364,
086,599,350,676,605,669,673,402,572,115,932,076,561,817,910,150,614,457,602,
038,541,132,727,010,727,911,984,719,013,989,135,600,638,645,371,877,626,144,
866,218,536,127,643,088,287,842,730,938,984,694,849,058,094,122,897,099,328,
924,943,276,306,423,034,965,148,799,396,473,279,756,521,295,935,903,214,946,
884,269,535,204,086,482,342,360,519,554,110,980,901,751,062,675,215,090,195,
752,792,200,332,735,582,763,776,337,271,852,388,145,154,539,954,093,322,901,
638,630,299,969,393,703,789,880,976,812,638,882,425,146,844,163,705,403,891,
517,640,408,764,286,586,197,048,044,912,191,330,263,425,393,821,209,148,371,
122,891,579,773,692,098,666,424,120,436,372,338,651,001,799,522,499,194,840,
241,806,532,035,007,304,601,034,207,247,096,108,536,264,773,167,626,931,119,
999,624,226,301,558,798,525,349,918,552,751,887,708,699,167,032,735,675,766,
484,157,043,215,632,870,993,252,662,467,873,713,637,117,326,641,322,017,013,
998,077,259,044,921,588,414,097,484,355,411,677,996,242,775,238,533,567,830,
457,969,602,205,274,349,042,605,395,386,033,654,212,555,988,990,471,681,585,
836,996,151,655,019,445,838,583,443,382,326,876,373,131,806,727,780,771,737,
389,468,415,654,202,526,737,859,950,288,104,231,949,124,249,007,441,059,001,
959,898,913,316,624,780,910,201,524,143,635,239,369,396,291,758,106,593,720,
112,031,076,525,744,927,894,215,435,259,424,194,081,365,540,452,056,541,047,
116,421,580,778,812,622,123,009,000,985,448,565,485,404,080,389,471,447,588,
722,635,727,271,061,980,414,418,059,368,089,717,644,803,026,077,527,263,412,
716,706,626,327,779,482,541,695,674,099,596,994,327,478,417,781,930,811,228,
487,709,626,936,751,058,909,012,624,737,474,508,493,545,443,273,276,937,338,
441,444,760,877,372,332,642,606,628,612,373,407,507,296,880,971,069,785,094,
630,236,094,769,309,244,652,200,618,689,975,490,658,615,387,933,222,492,211,
561,411,866,639,826,952,501,509,142,039,003,319,637,158,880,008,448,089,627,
508,395,735,366,285,744,572,338,996,535,898,121,885,062,219,511,740,856,924,
648,193,870,243,856,600,293,529,152,505,416,273,847,011,683,564,837,181,372,
636,388,237,120,841,123,909,183,466,145,617,517,792,431,006,083,502,407,724,
814,887,917,165,375,332,936,887,839,319,003,336,777,354,142,004,224,031,318,
946,878,433,397,775,704,711,978,800,376,391,843,528,581,130,391,333,023,472,
808,794,215,149,502,549,226,947,955,021,354,986,061,507,394,555,139,991,043,
029,197,092,052,640,139,532,773,169,668,678,972,087,766,229,518,793,891,781,
512,696,058,533,873,444,428,186,068,394,402,633,664,531,282,824,868,160,651,
278,798,630,398,515,770,177,901,205,963,894,096,284,465,541,810,340,237,387,
823,665,048,735,324,677,302,491,395,492,301,633,654,709,759,072,165,415,179,
295,618,850,735,072,496,299,353,530,227,281,291,921,497,246,053,841,412,658,
609,708,351,442,016,163,453,168,966,701,703,248,373,731,692,526,397,236,447,
975,591,772,683,345,527,266,745,386,315,376,015,180,206,428,612,105,638,348,
722,249,020,034,846,136,775,870,997,487,506,274,351,615,661,361,397,105,583,
525,511,936,442,668,904,757,144,080,150,190,073,115,926,646,233,032,073,099,
608,690,731,354,807,005,856,940,330,500,227,203,901,661,310,213,338,897,930,
008,268,458,453,641,987,041,440,385,995,421,292,378,565,162,117,540,787,987,
330,585,089,093,975,440,516,221,789,161,780,217,761,015,986,015,130,741,251,
362,348,419,802,424,863,617,335,826,128,896,624,763,522,513,938,653,541,899,
816,978,418,738,407,470,853,046,448,522,189,051,330,849,375,817,938,983,056,
557,368,820,645,771,792,508,850,413,725,208,267,191,871,603,573,370,435,806,
047,387,922,349,674,804,074,631,067,211,677,926,244,425,905,845,556,437,574,
986,481,715,292,733,375,334,517,605,778,433,663,191,879,594,988,935,876,466,
091,432,933,683,431,228,462,019,828,322,338,136,808,821,694,835,207,737,201,
106,895,486,405,303,651,067,358,443,352,531,658,292,145,885,095,744,671,509,
015,860,097,708,156,418,387,786,093,892,860,550,586,611,704,821,654,217,435,
111,084,704,173,221,623,856,232,286,286,866,160,366,284,331,149,723,283,019,
998,413,022,329,222,293,496,641,729,398,395,291,677,347,884,111,839,697,163,
180,860,363,277,925,394,202,768,639,691,273,045,517,237,510,667,465,580,038,
471,214,980,328,271,283,990,171,191,175,656,836,558,455,964,112,064,212,784,
607,040,039,081,610,646,270,945,744,654,212,528,650,315,348,141,293,060,158,
263,194,187,232,672,154,439,729,040,160,221,470,911,472,274,726,907,625,458,
495,711,666,976,560,330,693,927,157,065,311,416,328,176,000,093,979,142,099,
120,317,161,065,965,341,025,945,668,266,933,356,599,040,746,878,871,389,537,
158,943,090,795,555,691,692,547,887,693,540,152,117,654,694,780,309,317,986,
829,430,508,559,747,883,622,361,034,496,989,413,491,263,783,030,074,666,532,
411,506,026,849,227,145,980,675,544,425,110,559,731,403,951,318,624,832,213,
003,469,771,292,041,003,834,041,778,104,416,370,849,985,316,495,353,298,555,
001,260,385,360,870,660,068,670,149,403,248,630,306,179,168,674,986,780,822,
540,376,261,778,708,136,984,739,719,773,379,456,132,348,046,152,537,484,834,
791,435,709,027,349,908,761,765,086,685,025,527,059,549,695,178,112,462,162,
197,109,555,361,077,684,204,063,435,555,495,627,819,862,225,247,073,569,667,
184,118,067,143,728,956,629,360,935,412,717,826,246,567,256,690,946,540,968,
967,950,296,451,392,722,033,640,569,550,696,401,967,439,561,771,365,150,165,
691,875,669,762,285,334,304,637,706,245,816,459,441,850,499,637,445,998,151,
623,805,508,826,287,375,928,688,552,203,131,425,680,752,896,300,446,973,157,
245,902,620,392,116,008,793,093,955,244,604,459,296,735,276,524,565,226,616,
665,460,559,404,325,681,758,983,095,704,038,652,199,117,320,391,044,158,076,
590,993,990,076,055,351,782,148,379,513,953,151,132,480,823,868,542,964,944,
719,519,018,257,488,334,302,917,018,115,273,140,169,576,584,700,711,392,660,
368,360,825,771,322,095,830,336,132,738,810,088,588,322,653,277,544,287,468,
539,220,303,669,915,784,592,390,801,361,599,139,942,664,816,038,200,632,693,
231,662,758,996,832,520,234,665,447,089,248,635,141,321,317,053,277,229,727,
362,958,121,948,449,641,815,991,946,597,456,173,683,966,601,099,581,994,726,
769,397,552,231,780,383,103,023,659,916,395,535,678,406,024,626,226,230,600,
108,900,539,878,289,759,808,185,513,954,111,154,284,915,484,795,955,496,596,
880,556,354,002,630,535,697,312,687,685,180,879,361,606,787,665,654,036,748,
986,721,513,128,048,456,300,182,936,912,923,829,039,045,618,737,367,117,401,
557,645,985,996,315,030,146,498,114,542,528,682,637,117,977,936,249,073,888,
923,043,570,433,848,106,710,968,807,651,149,616,846,642,951,453,152,735,687,
932,563,872,622,537,309,875,639,712,095,507,018,203,022,127,701,829,516,796,
408,787,892,633,610,533,434,867,754,507,137,343,339,356,965,837,343,999,001,
143,549,013,453,204,587,010,304,358,376,302,112,061,421,511,785,501,394,569,
036,049,194,875,688,410,305,271,156,679,022,270,682,317,557,104,938,161,437,
829,840,283,629,623,760,613,839,390,200,482,679,797,534,465,864,255,490,315,
088,566,659,564,884,377,208,267,475,799,227,619,745,910,079,754,909,979,646,
384,600,885,754,612,896,140,216,660,348,834,388,475,124,298,544,566,778,089,
461,026,300,501,813,326,644,693,058,593,937,864,522,781,292,503,602,086,261,
163,524,894,004,810,995,812,767,155,881,903,599,773,416,117,794,488,997,302,
873,788,090,406,753,784,555,075,025,785,645,473,855,444,850,165,974,647,681,
786,858,974,399,060,101,962,727,293,569,991,993,777,981,525,455,520,120,319,
945,485,425,124,268,794,389,380,104,003,990,645,740,707,691,425,955,926,204,
404,763,907,063,849,112,482,858,915,203,227,187,051,997,941,094,735,481,768,
480,911,349,531,889,110,298,271,349,366,525,065,812,028,934,499,266,527,713,
165,477,218,729,362,205,580,433,755,907,739,651,780,526,971,839,284,773,705,
597,837,865,559,668,081,410,592,837,514,108,368,201,767,061,768,722,816,774,
051,451,781,576,718,104,663,685,582,607,815,598,277,615,994,685,116,355,798,
538,407,558,003,961,217,556,524,042,854,237,521,703,311,762,030,550,739,406,
564,324,689,519,685,506,253,726,026,491,335,058,917,162,148,940,425,144,482,
426,075,489,617,936,579,385,144,712,339,208,126,401,392,051,603,088,090,509,
868,315,927,159,747,476,924,623,321,581,279,501,481,371,696,660,608,650,312,
395,699,783,902,838,405,685,790,944,662,754,489,259,284,031,992,679,166,448,
947,676,363,752,594,503,684,771,775,981,923,766,256,869,488,437,598,574,471,
314,918,259,638,777,416,567,340,331,050,481,115,513,851,892,988,393,353,567,
297,319,330,453,063,607,419,692,099,932,216,111,037,801,172,539,066,685,469,
473,059,682,196,226,150,282,540,919,534,213,888,216,316,954,631,800,165,591,
452,228,634,019,197,022,324,368,617,706,307,065,896,911,292,963,235,946,203,
672,694,357,695,795,563,335,747,780,528,214,918,980,045,123,105,201,202,565,
209,840,606,552,260,343,082,532,080,658,045,379,784,285,433,262,862,153,789,
580,632,059,054,964,673,995,800,765,173,372,721,358,476,051,718,925,771,701,
181,194,694,840,505,029,596,739,758,436,651,071,141,708,273,703,928,159,989,
197,878,327,209,793,834,726,901,772,650,357,885,806,023,146,851,485,854,404,
088,566,093,044,330,399,062,680,330,453,720,549,945,415,962,285,092,282,144,
239,672,011,496,713,088,788,736,384,979,358,034,262,213,603,785,786,179,556,
747,589,620,719,863,763,659,608,343,660,952,982,284,961,081,098,989,220,834,
732,368,427,657,709,460,656,346,169,892,050,209,679,569,569,280,414,365,935,
565,558,934,188,259,553,045,668,395,307,216,348,723,859,692,567,011,618,350,
155,499,683,657,187,788,807,681,932,324,519,325,559,898,422,541,049,546,408,
534,447,276,080,894,095,269,523,349,360,830,648,917,083,264,095,779,582,265,
703,413,560,965,128,966,685,596,446,120,562,129,263,250,765,038,251,267,668,
077,467,106,298,720,608,630,724,259,631,222,720,458,280,253,938,571,425,764,
250,556,470,511,370,350,140,005,673,128,584,920,164,639,690,821,941,658,963,
838,356,759,132,072,080,519,470,197,126,842,891,365,479,832,102,685,592,221,
446,865,825,534,529,486,949,092,290,915,429,485,682,166,931,249,517,739,051,
257,980,543,822,098,952,177,324,850,198,921,469,132,844,246,750,747,121,013,
343,739,850,278,019,491,972,574,706,167,226,623,700,797,494,358,831,208,113,
144,847,211,141,631,488,808,994,116,018,044,515,106,091,059,627,577,898,244,
734,539,244,620,639,184,765,312,667,204,729,835,650,721,324,386,232,374,219,
625,983,134,671,967,925,824,684,050,649,358,319,121,126,701,632,305,019,493,
151,844,996,311,981,551,153,001,218,305,899,996,276,946,405,552,196,512,796,
130,488,735,300,350,735,267,653,196,842,451,028,847,223,904,760,842,117,956,
589,736,661,524,918,707,007,651,955,309,956,575,300,238,285,880,263,141,032,
328,820,000,152,848,038,560,115,302,434,609,950,487,640,044,474,336,154,525,
256,044,661,440,471,119,058,580,783,869,479,772,727,283,638,624,559,147,829,
070,542,230,016,329,235,299,459,421,624,418,087,407,175,087,259,244,531,012,
295,894,147,551,632,467,582,354,263,080,829,981,280,410,361,368,638,017,526,
822,787,476,324,064,623,521,038,189,494,892,436,539,231,585,003,751,172,659,
185,476,634,563,238,644,508,329,451,984,429,027,300,202,099,871,167,051,357,
183,804,738,032,490,018,494,898,280,343,878,431,410,637,868,821,824,441,363,
283,449,618,076,676,912,814,311,481,376,308,690,448,166,349,748,105,656,593,
083,838,460,675,399,515,578,631,223,391,800,966,723,712,404,762,723,646,679,
615,542,801,711,885,464,501,201,540,476,913,076,036,602,638,145,510,843,636,
680,732,162,367,387,054,935,867,950,669,576,516,842,877,920,559,967,236,875,
019,097,181,408,237,179,681,633,420,757,232,416,118,294,778,492,381,716,748,
949,731,429,598,644,784,337,547,627,323,806,292,050,836,804,860,432,369,926,
355,090,668,675,905,763,760,202,883,592,057,166,976,530,557,028,777,025,763,
475,710,013,506,474,903,927,635,680,148,117,398,990,554,555,942,863,586,385,
615,127,129,735,721,637,211,012,072,266,463,411,863,731,943,019,667,768,646,
184,648,853,309,889,953,574,070,169,827,275,130,621,691,741,115,502,045,702,
857,567,120,171,521,845,804,872,328,904,606,407,036,212,557,935,240,554,073,
268,291,152,451,680,288,532,978,460,812,686,484,268,067,898,697,415,344,015,
708,357,745,132,303,377,787,592,685,887,783,750,923,688,976,234,120,420,226,
575,784,699,743,219,878,865,209,531,353,657,962,915,246,434,011,263,232,988,
428,863,287,759,510,533,211,736,172,963,023,320,964,710,254,819,788,278,022,
207,767,368,639,371,437,710,330,697,960,931,685,428,662,985,826,571,719,962,
467,823,631,958,584,490,961,778,824,257,348,288,024,358,510,238,046,094,103,
981,607,752,405,214,875,938,487,067,708,675,990,451,291,400,913,605,059,625,
533,113,127,168,207,420,276,977,648,082,923,530,114,420,060,272,505,684,695,
715,835,968,904,185,702,997,787,126,328,442,169,655,715,613,975,301,624,699,
953,299,035,154,503,640,014,026,239,844,128,728,506,033,671,646,394,904,321,
604,076,525,289,509,600,478,461,885,507,887,905,627,005,971,843,674,749,475,
101,321,724,807,253,433,883,179,873,113,600,466,295,402,352,305,954,776,099,
752,074,491,074,792,537,174,543,563,915,221,974,635,593,100,160,197,555,837,
301,716,254,474,910,390,849,602,673,132,220,938,597,089,675,104,385,209,611,
698,407,274,731,222,125,121,877,513,588,722,985,476,935,638,665,722,346,827,
190,971,653,718,229,817,316,558,960,150,631,685,974,361,998,430,612,315,591,
162,463,622,397,283,961,683,948,572,513,715,815,449,165,017,205,273,792,324,
144,352,791,806,465,679,614,967,964,299,729,973,167,206,732,936,033,667,159,
701,720,244,668,335,227,745,989,411,625,086,887,387,696,008,995,832,128,119,
044,784,371,428,433,157,687,208,855,702,335,731,052,437,128,685,526,283,913,
013,162,679,992,458,258,944,517,816,578,655,542,396,941,148,684,541,867,626,
627,259,486,996,697,660,172,836,638,014,055,234,162,340,921,003,727,826,306,
131,975,094,393,942,607,409,409,139,336,043,489,299,185,371,245,493,546,629,
546,142,675,374,659,336,704,561,948,774,992,483,703,558,536,704,335,090,083,
891,693,261,078,878,845,295,845,260,643,884,932,332,672,238,081,395,312,158,
640,449,880,520,188,661,841,107,453,991,014,302,820,232,884,769,394,354,389,
930,096,791,796,826,843,048,681,560,332,934,965,979,980,218,954,296,542,000,
059,124,672,312,121,739,427,650,655,032,440,362,427,164,562,895,212,811,437,
858,498,036,349,852,751,144,898,561,985,588,309,303,832,961,274,322,958,778,
386,007,107,892,041,836,745,356,104,343,749,468,311,763,059,727,163,811,820,
697,752,112,355,418,966,221,550,530,124,827,153,540,480,685,712,599,664,715,
694,862,951,040,846,024,715,784,194,710,231,879,332,031,400,458,005,690,301,
130,843,637,065,984,190,966,600,535,771,405,675,003,317,948,469,282,335,577,
957,757,476,738,266,058,167,685,871,962,976,395,147,348,440,931,609,930,746,
447,002,859,545,384,001,118,807,447,227,305,889,509,128,551,544,817,908,005,
364,263,912,335,915,389,421,836,488,918,352,247,030,669,992,336,236,879,289,
057,479,600,387,176,772,279,885,813,274,177,339,391,123,309,878,277,410,209,
047,849,684,124,362,268,558,655,673,435,964,648,147,289,895,800,517,829,406,
194,402,182,455,776,678,509,695,651,463,093,674,185,354,149,349,340,165,478,
528,229,222,432,242,224,934,427,781,383,354,406,186,123,873,988,181,340,826,
597,708,370,816,568,525,955,098,165,117,697,987,876,874,051,198,763,944,995,
425,827,720,076,066,781,747,382,726,650,867,577,126,166,819,370,616,659,110,
775,045,560,662,614,079,297,100,921,526,266,415,542,715,847,245,793,661,503,
658,832,689,001,698,050,499,649,443,972,852,511,371,620,659,837,972,799,864,
012,053,438,287,343,946,442,126,612,983,115,731,050,319,790,411,292,877,112,
894,883,931,053,563,756,316,312,140,165,288,903,335,405,523,401,934,037,268,
352,736,535,929,864,868,545,852,208,434,786,166,360,979,496,792,835,840,603,
503,387,510,068,441,110,550,079,368,395,393,058,005,157,160,479,278,023,666,
747,268,448,953,969,268,986,681,715,783,491,132,177,946,003,311,396,958,438,
758,123,125,490,594,326,069,664,203,273,904,029,989,253,629,862,904,934,966,
690,711,972,707,560,452,612,325,345,045,509,736,069,869,609,572,782,821,072,
538,437,081,312,610,706,812,870,500,081,564,676,222,043,845,126,156,613,348,
022,602,434,205,866,854,775,756,597,237,131,736,992,653,777,254,214,986,587,
384,965,058,685,681,919,959,870,780,323,260,820,518,603,488,169,248,571,317,
030,177,477,198,027,248,146,260,324,591,351,355,211,786,539,281,897,021,650,
165,568,398,809,240,147,344,269,311,790,247,176,490,520,730,553,504,670,306,
844,651,925,513,587,137,126,725,993,624,960,455,415,710,048,079,864,647,592,
072,981,239,156,860,065,212,556,836,707,671,959,898,124,566,198,935,224,738,
263,493,357,854,828,877,468,463,186,652,009,998,879,222,308,491,892,618,774,
236,195,312,768,284,033,728,547,593,527,603,742,934,640,467,217,762,966,941,
389,938,765,477,868,733,279,038,539,536,119,953,359,024,151,284,455,591,679,
606,028,746,754,155,308,139,202,622,641,768,500,258,846,700,935,513,710,584,
336,328,893,405,647,842,972,813,189,749,454,810,712,014,149,415,505,857,927,
153,046,148,376,957,717,696,139,259,292,970,836,334,185,496,319,279,851,738,
838,281,186,162,209,314,970,190,926,975,311,968,204,155,837,755,848,853,374,
196,132,289,014,600,329,972,853,605,751,141,697,816,736,582,307,526,488,646,
347,540,088,095,188,258,067,485,128,407,902,326,526,372,077,378,721,889,679,
693,465,879,882,755,137,317,477,067,631,384,499,585,210,238,464,898,996,598,
281,684,813,769,373,715,527,868,324,913,346,308,307,016,764,910,670,676,379,
598,478,896,941,185,396,691,283,754,098,151,028,681,835,723,460,489,826,070,
876,243,245,598,087,235,902,356,532,814,734,473,020,799,075,482,701,730,447,
022,801,982,343,246,185,599,198,881,316,477,250,812,607,140,226,384,256,707,
826,344,485,140,032,061,603,753,305,286,112,575,600,558,588,105,207,243,694,
546,751,473,899,318,017,516,980,744,742,362,983,165,819,521,803,939,741,423,
485,870,693,577,143,615,213,159,753,019,562,618,860,768,880,533,088,769,888,
598,747,320,969,584,731,706,564,175,604,564,410,259,821,448,452,668,886,608,
343,584,129,458,973,955,057,721,970,992,431,374,676,618,991,310,220,377,181,
487,035,934,357,933,987,317,190,702,277,170,865,754,015,700,115,223,307,375,
131,124,866,351,561,345,954,777,180,567,510,833,401,203,457,957,557,131,180,
486,019,872,816,535,980,339,677,259,963,890,040,332,181,111,121,555,169,485,
528,905,265,197,397,297,438,843,764,570,286,844,008,542,780,195,123,076,227,
798,076,805,452,988,902,269,065,928,669,557,049,571,184,260,176,463,201,139,
267,786,613,388,560,126,160,466,702,461,111,410,332,501,106,351,332,892,287,
113,967,581,922,947,241,882,118,643,240,128,645,840,358,526,410,048,752,723,
643,552,345,740,038,853,108,955,856,040,046,995,433,025,090,145,731,085,524,
278,801,833,327,161,685,121,986,140,507,890,156,901,762,966,868,730,667,970,
828,311,231,753,167,556,389,180,552,618,695,896,408,611,851,742,032,085,898,
326,901,681,731,393,974,733,089,286,293,873,993,614,809,570,735,306,403,095,
758,071,847,267,412,460,104,063,890,985,552,104,585,319,054,953,400,290,960,
794,009,285,847,789,106,780,162,039,282,739,479,278,459,907,571,768,596,450,
610,498,164,124,749,666,941,309,956,351,658,639,862,892,944,143,242,640,839,
875,480,205,893,161,523,335,780,629,317,445,197,040,014,318,027,516,970,915,
743,322,854,250,538,237,794,818,595,904,322,246,791,904,665,278,199,464,285,
470,362,396,616,973,109,540,235,888,715,617,355,067,091,929,003,388,345,380,
284,736,856,852,594,395,950,156,522,692,437,847,666,560,521,262,245,235,397,
623,078,514,003,354,172,224,479,185,932,386,168,481,504,994,413,605,074,156,
176,611,793,675,790,663,100,223,358,418,079,673,774,633,166,841,643,652,055,
123,390,315,447,322,666,503,104,784,342,874,238,651,384,983,885,797,033,943,
696,548,645,683,856,147,248,519,992,456,952,063,285,758,326,451,839,702,075,
798,094,384,801,101,791,632,097,960,757,713,901,716,413,761,360,482,160,390,
229,292,039,370,311,191,948,189,024,022,750,441,141,926,710,656,119,592,257,
270,018,633,880,779,550,401,833,219,561,810,949,518,022,493,951,871,909,709,
844,489,064,171,040,352,666,218,156,768,935,131,675,756,589,194,842,409,310,
690,703,794,649,454,542,037,973,040,325,893,776,761,958,147,310,459,251,058,
395,957,761,302,649,719,140,055,471,926,764,500,114,521,743,110,734,997,711,
015,984,369,899,898,545,812,840,481,210,797,713,764,759,559,134,443,460,038,
347,333,839,780,801,767,687,374,389,757,675,725,144,922,985,043,805,246,720,
675,196,087,734,278,128,928,183,825,260,070,238,576,935,617,791,024,346,987,
126,419,410,817,401,811,768,126,347,991,223,966,389,365,185,390,371,756,020,
819,968,373,870,004,012,113,550,873,143,383,061,103,957,023,649,812,712,719,
368,053,303,149,856,443,438,388,006,181,488,881,636,408,686,482,032,169,970,
746,769,557,880,795,201,631,885,584,633,554,358,181,981,826,541,529,632,207,
839,186,589,502,790,268,372,271,253,934,330,519,122,500,171,657,507,461,301,
582,935,785,142,425,055,340,614,485,647,971,807,248,623,595,113,375,991,199,
045,936,175,973,651,009,395,975,081,578,758,574,254,307,684,268,587,119,059,
569,144,886,042,513,677,213,932,804,589,807,243,544,329,487,092,392,887,009,
493,618,749,757,945,071,808,422,082,822,128,791,255,961,200,681,254,857,639,
836,292,075,313,528,844,990,237,429,016,207,694,295,629,224,816,877,120,951,
092,179,872,493,112,441,992,121,069,511,772,271,278,780,773,247,506,023,993,
461,664,732,135,549,951,633,839,260,820,411,657,672,299,458,702,779,589,527,
810,635,715,844,987,375,065,006,032,371,721,540,726,798,744,344,110,884,166,
424,144,799,116,546,592,476,982,529,396,539,555,362,895,816,293,627,967,598,
561,952,384,035,884,809,544,292,164,591,611,754,932,271,040,467,085,613,626,
479,497,827,602,997,527,323,747,860,550,792,552,587,165,984,616,812,472,615,
932,063,714,477,411,393,171,570,967,106,450,005,149,192,712,636,085,381,888,
113,848,230,723,765,221,541,940,949,595,324,425,193,499,710,626,038,492,619,
590,535,552,546,070,870,155,238,457,412,735,562,673,607,275,015,738,737,262,
724,925,040,677,077,579,673,288,617,848,085,573,172,554,384,090,290,865,317,
019,719,523,078,383,206,605,559,213,456,964,536,837,668,938,954,395,177,353,
752,055,077,162,250,913,036,275,402,677,361,226,976,885,972,749,898,218,079,
041,908,643,449,485,121,662,056,903,128,504,848,348,750,146,229,523,403,928,
208,464,104,346,496,131,027,113,553,283,139,156,515,951,152,381,214,257,625,
963,023,119,593,065,585,155,067,031,902,005,019,979,666,293,264,975,890,267,
316,917,390,060,435,088,758,115,696,407,412,130,274,072,453,473,028,407,875,
064,646,579,268,266,475,764,136,437,864,469,677,637,553,735,142,526,480,546,
741,122,376,139,717,024,751,024,365,809,077,602,679,760,128,849,171,060,845,
703,021,061,473,030,491,655,189,910,895,187,893,351,128,730,382,743,311,681,
472,372,194,662,740,963,626,769,480,647,028,276,878,304,677,738,947,890,365,
372,860,306,343,896,119,351,013,153,414,204,023,184,761,380,504,860,779,117,
311,336,086,938,507,008,904,833,239,151,842,217,034,258,339,445,273,636,512,
622,955,959,062,940,429,797,665,193,724,622,378,412,480,605,069,588,872,808,
109,603,556,353,033,673,405,001,831,476,307,793,917,022,857,498,719,589,216,
243,797,179,823,275,699,332,446,576,440,217,149,633,043,212,455,630,466,058,
817,314,877,877,269,619,044,742,605,882,207,816,475,563,784,322,814,579,773,
067,690,038,128,412,509,117,400,492,956,488,139,440,891,765,165,446,698,605,
049,099,464,951,377,230,854,009,985,455,543,021,774,688,638,491,055,698,435,
657,068,293,020,227,665,489,459,133,297,663,746,109,824,004,075,002,498,226,
872,832,988,533,565,179,941,554,815,261,187,699,836,056,901,196,716,980,638,
876,989,776,858,128,918,676,013,389,640,527,012,325,677,817,496,944,972,680,
929,580,461,694,533,070,012,450,273,245,251,488,902,942,203,636,389,745,596,
524,126,407,888,436,631,122,216,388,510,408,048,746,087,529,159,332,737,155,
961,865,751,067,601,215,148,578,018,608,093,308,807,178,298,469,646,812,226,
839,540,823,692,779,908,375,575,592,093,735,301,228,914,677,602,652,579,779,
317,709,959,337,279,022,847,346,079,045,748,802,435,404,366,150,394,773,681,
482,482,420,965,374,014,428,869,977,301,944,406,414,572,866,542,212,282,892,
433,051,037,070,116,746,422,149,179,121,016,834,429,512,277,325,503,686,050,
207,625,262,494,185,629,355,565,706,493,140,075,938,886,611,951,360,490,196,
525,905,365,763,671,575,273,270,196,884,252,912,855,807,152,439,739,508,627,
163,539,848,621,396,816,016,786,279,841,744,196,888,129,503,391,616,926,245,
305,864,902,935,390,957,309,122,038,739,691,703,714,292,012,396,903,224,927,
440,115,343,808,409,624,059,380,554,789,971,292,983,801,982,126,414,886,498,
148,637,471,398,090,439,983,696,085,387,084,627,958,832,116,974,904,731,944,
882,792,372,653,152,147,583,430,365,881,425,826,860,628,687,242,291,515,752,
840,276,622,716,398,050,142,645,692,308,414,072,678,086,107,767,538,860,232,
088,100,517,168,940,644,024,570,213,661,268,981,661,256,692,488,053,407,588,
574,984,162,461,481,294,422,588,596,124,333,166,937,840,769,681,037,900,658,
717,763,720,143,081,779,876,781,723,804,148,472,642,735,655,565,668,278,258,
896,957,772,432,266,000,652,937,451,095,693,051,864,898,963,709,540,056,568,
754,894,066,887,232,980,833,245,122,017,402,453,981,302,690,320,314,520,092,
492,391,236,775,488,663,810,933,360,839,818,844,825,178,760,580,718,864,504,
669,966,944,498,131,778,182,433,961,240,706,836,357,334,356,636,481,041,685,
845,077,686,060,678,517,530,831,210,284,985,209,116,230,676,332,747,149,534,
430,283,515,174,316,177,276,528,059,975,293,623,335,959,165,805,207,339,430,
757,251,990,279,586,304,388,811,606,346,479,821,359,215,961,808,447,189,697,
850,016,301,188,299,402,251,034,648,604,171,342,344,661,135,360,033,574,266,
653,159,422,086,328,955,563,378,397,483,063,183,539,960,839,070,949,807,359,
093,691,359,567,680,781,811,557,048,815,287,329,376,201,181,199,450,905,147,
545,216,528,178,977,115,519,293,045,387,995,687,985,430,539,507,897,696,058,
729,154,382,333,039,299,366,927,718,197,924,132,375,067,780,945,438,011,893,
131,093,889,400,637,685,858,455,176,055,851,022,819,088,570,438,564,143,045,
465,943,288,866,781,110,571,874,621,964,201,057,585,320,196,336,313,838,415,
474,678,919,671,116,910,501,060,922,098,950,379,523,189,594,249,563,338,180,
834,615,784,933,269,918,575,980,578,888,232,789,446,411,351,455,735,545,503,
501,104,373,334,298,969,237,637,736,621,307,350,066,563,042,091,841,715,709,
826,599,164,490,486,668,742,842,054,859,503,396,271,918,670,644,379,836,475,
453,182,477,289,197,412,792,565,343,316,989,410,676,703,477,291,356,907,858,
799,689,248,981,970,110,035,991,956,583,494,586,402,185,438,929,868,995,617,
104,987,303,365,563,181,535,037,894,567,535,929,880,593,560,417,765,253,604,
144,265,874,105,302,399,593,382,314,912,817,729,871,089,874,631,459,946,794,
825,576,775,160,614,834,084,394,064,286,759,633,800,816,898,502,909,555,345,
411,341,421,042,903,401,435,114,668,617,845,372,481,721,693,090,884,873,460,
750,527,685,337,097,686,105,184,706,026,179,505,402,404,922,700,925,715,938,
073,836,446,040,420,199,398,231,645,437,501,421,520,034,164,791,946,848,562,
550,623,305,093,224,206,501,598,592,171,465,116,392,387,203,068,632,223,963,
130,325,666,131,741,751,646,512,281,033,340,537,538,903,424,836,085,442,680,
640,897,144,268,221,368,530,997,286,867,506,528,618,429,042,978,173,684,106,
166,608,924,225,898,225,758,000,127,668,833,479,493,958,628,359,123,664,114,
483,938,238,410,245,436,651,685,696,219,044,246,134,272,969,448,233,000,277,
683,485,667,022,376,868,651,183,169,011,544,852,447,783,675,706,873,749,381,
772,504,900,370,857,546,393,136,274,732,672,819,384,717,631,109,039,491,187,
914,368,207,215,383,021,799,654,219,699,501,059,824,443,081,639,621,221,039,
257,367,331,950,613,655,221,882,213,118,191,900,256,671,524,616,489,004,485,
739,205,905,605,083,963,401,890,137,669,919,508,297,491,364,764,071,564,321,
219,362,710,177,353,870,839,380,199,297,922,576,486,374,270,361,045,866,090,
744,134,385,690,346,642,434,888,038,669,414,094,161,348,447,028,487,242,646,
345,570,432,461,344,248,617,715,127,463,856,118,821,837,444,769,223,648,846,
349,400,927,406,095,221,196,218,459,837,748,287,962,718,230,684,058,223,986,
127,804,234,827,837,202,323,559,470,302,342,962,172,357,565,659,906,952,864,
230,986,708,362,497,518,350,872,132,902,290,998,236,352,144,621,985,214,879,
447,290,662,474,331,997,533,690,720,905,062,880,332,424,132,204,021,030,446,
085,100,865,459,488,768,160,857,603,128,810,316,897,786,142,937,523,996,336,
330,716,756,642,493,761,101,485,538,956,938,257,809,566,198,490,973,377,044,
586,487,528,188,297,356,001,856,217,028,651,707,959,750,027,512,937,002,194,
342,580,362,569,031,462,926,659,747,325,809,627,850,291,089,475,430,151,760,
591,714,340,185,757,913,016,983,000,906,177,531,606,914,859,712,623,707,964,
964,733,410,070,842,125,902,410,017,063,151,249,264,603,257,523,000,376,252,
176,182,272,247,113,846,772,308,596,155,748,271,423,559,949,515,374,968,540,
767,259,701,485,154,874,898,107,051,337,230,335,423,452,666,194,798,988,241,
217,441,900,733,776,167,591,717,452,724,407,930,175,419,593,947,671,397,297,
900,351,498,214,079,412,200,042,944,873,723,186,048,099,394,507,278,501,990,
453,962,297,361,082,890,020,024,668,177,100,047,182,330,074,881,156,154,842,
278,266,771,328,519,374,523,017,105,155,548,870,894,329,054,244,617,425,584,
305,070,562,588,515,073,037,905,059,930,327,484,598,026,958,505,050,194,337,
808,433,546,388,439,151,336,110,270,590,342,710,167,134,326,336,768,527,337,
766,707,925,451,606,146,057,376,571,810,703,948,193,717,362,494,728,502,550,
936,778,355,247,189,644,886,073,795,174,319,250,817,193,932,368,402,592,531,
859,117,760,401,061,309,552,625,663,222,939,236,589,974,389,451,259,550,017,
095,929,466,446,546,035,456,581,903,782,050,288,316,442,370,777,502,714,547,
136,605,159,346,814,621,360,989,347,116,832,989,852,687,304,712,751,899,824,
600,365,841,611,296,475,900,089,569,028,800,906,525,953,422,688,741,275,133,
895,353,739,488,410,695,326,752,939,367,228,278,797,337,977,644,953,367,428,
727,134,620,950,646,127,745,524,256,506,176,012,484,618,728,396,904,992,374,
675,519,165,000,342,659,952,274,644,590,859,224,128,275,864,479,351,415,319,
779,597,795,173,781,246,206,971,748,479,277,135,520,038,033,411,879,827,994,
816,747,323,531,474,010,801,330,463,195,292,800,673,601,974,215,227,672,817,
989,628,655,959,798,561,368,120,249,714,238,208,267,352,477,042,104,291,721,
701,255,316,246,952,559,080,065,685,720,828,617,017,189,278,308,643,122,848,
877,586,554,035,789,403,942,358,763,977,511,130,975,169,340,216,809,268,916,
773,377,321,711,621,327,703,331,360,026,964,134,497,073,115,280,732,679,243,
143,890,479,931,611,178,544,366,888,190,062,333,514,711,396,151,339,644,902,
845,698,707,040,976,435,340,472,445,025,281,409,212,423,843,956,271,420,366,
332,661,904,305,472,351,077,652,265,891,514,197,496,309,233,384,302,324,787,
538,731,571,005,644,765,374,008,625,984,007,659,325,521,394,202,782,360,608,
424,237,390,151,963,982,680,146,582,553,479,101,591,879,717,276,245,109,712,
981,918,052,248,318,696,069,246,025,206,022,675,579,863,425,970,177,917,234,
485,534,596,400,155,992,861,840,163,160,799,990,249,337,565,748,149,390,863,
173,769,275,826,430,303,027,067,755,235,190,603,686,812,838,979,517,970,358,
188,242,758,407,962,101,677,456,391,116,661,972,798,510,488,547,993,741,923,
755,525,453,932,899,866,305,228,376,326,097,507,444,072,357,362,187,416,100,
012,982,390,362,601,340,616,829,582,421,041,687,519,855,669,814,310,703,689,
812,166,734,753,338,319,228,418,266,995,398,774,825,852,081,146,226,303,183,
980,943,019,017,581,861,140,148,546,584,336,137,829,996,995,129,654,039,551,
225,731,025,142,474,405,635,415,811,995,335,896,336,970,219,089,864,389,406,
160,405,254,447,387,097,379,091,625,912,112,393,935,611,504,300,543,487,710,
451,895,761,753,417,350,576,100,798,250,629,652,823,125,047,125,991,601,925,
502,255,878,967,883,898,009,624,113,845,231,735,898,613,332,729,996,434,236,
618,579,979,061,394,063,740,495,973,988,212,318,810,074,312,656,111,893,531,
207,061,298,631,919,538,940,667,566,820,493,897,188,411,580,896,932,346,342,
932,141,087,100,773,530,476,236,245,609,273,946,968,569,778,335,056,115,148,
681,900,447,135,027,843,284,810,936,675,436,107,886,864,614,950,921,688,494,
708,227,638,330,454,020,661,207,020,407,942,941,683,855,681,992,191,030,067,
513,610,313,402,274,148,027,415,872,054,233,569,405,698,720,140,700,994,102,
642,803,407,274,868,243,546,137,656,962,878,245,919,141,470,205,584,488,425,
813,422,516,012,152,490,659,614,740,117,230,109,177,362,583,426,502,409,862,
910,626,442,474,068,428,307,276,338,011,853,526,485,146,530,501,102,816,197,
406,109,642,550,511,380,165,551,961,437,923,914,115,766,374,632,105,442,492,
241,648,882,927,008,398,107,371,293,984,259,338,825,631,651,502,542,321,829,
579,136,791,865,737,701,547,722,779,913,568,953,840,554,018,033,392,121,950,
967,342,135,317,289,766,575,033,913,062,285,351,489,435,308,503,267,873,396,
059,601,634,851,177,162,592,392,123,333,155,175,106,944,333,680,570,148,606,
391,706,752,433,813,892,673,598,549,958,832,547,750,955,013,329,267,996,937,
132,189,981,654,497,245,179,310,115,187,596,872,872,474,041,004,223,520,694,
603,416,102,949,753,504,900,522,969,167,003,512,505,373,949,189,205,968,974,
856,381,842,218,368,423,617,446,693,934,376,885,380,672,408,752,158,018,915,
485,610,609,290,019,160,480,916,745,495,163,239,502,326,760,746,142,150,740,
292,225,413,057,368,620,611,194,559,770,080,403,769,751,908,909,241,563,493,
276,516,557,612,338,153,234,270,267,179,567,814,967,025,795,787,082,692,537,
031,541,856,112,995,736,783,843,778,424,186,849,234,913,111,108,246,061,625,
248,738,253,808,366,601,735,114,163,625,012,916,706,929,679,329,606,533,864,
692,138,827,131,492,645,805,720,704,468,669,567,204,219,230,799,071,951,320,
538,114,538,409,314,776,231,206,447,013,938,422,458,681,625,300,722,377,796,
648,095,164,672,400,488,867,208,866,517,461,942,907,381,181,137,856,615,194,
247,515,125,511,076,238,666,219,473,905,816,276,006,429,818,494,436,065,984,
773,883,262,965,329,557,518,066,369,555,813,698,687,525,068,010,179,926,376,
577,927,319,128,684,905,978,203,644,392,472,580,096,236,353,955,144,278,616,
890,857,722,661,094,574,536,258,790,618,796,726,348,544,336,680,066,095,948,
342,609,320,931,434,280,735,842,267,479,387,284,561,159,172,996,332,147,159,
969,165,539,325,304,247,108,485,578,167,790,158,028,911,024,327,823,994,559,
312,413,556,624,631,932,492,622,533,117,233,543,771,138,965,485,412,285,354,
989,929,967,551,023,621,348,523,207,089,018,090,263,482,018,587,354,373,376,
704,119,370,072,976,802,328,189,181,968,164,665,708,536,909,561,628,186,193,
587,380,955,548,910,082,597,312,437,857,851,113,491,391,221,370,223,677,879,
814,912,681,233,597,119,497,041,081,253,884,885,367,419,926,641,514,648,757,
010,632,874,565,310,207,177,019,354,510,293,994,108,849,953,879,788,033,436,
129,185,225,980,780,270,389,793,591,673,807,119,172,127,536,865,665,845,340,
448,378,185,097,311,565,744,276,315,841,783,035,775,753,969,054,544,969,597,
630,234,635,977,404,842,556,479,594,512,892,875,942,968,045,125,580,601,700,
311,537,509,795,734,996,081,885,805,575,278,788,498,159,073,056,869,725,019,
508,476,288,477,188,789,510,129,895,482,508,763,841,153,746,892,920,841,193,
404,297,981,323,929,969,997,816,099,036,568,469,701,759,950,173,070,266,893,
842,352,500,070,109,464,866,616,354,013,347,555,920,380,047,452,256,780,108,
237,654,857,077,031,399,234,756,974,282,170,913,342,090,645,943,575,872,362,
054,165,756,951,017,876,251,231,620,903,212,202,330,800,878,608,057,248,596,
861,206,591,749,071,870,315,839,825,012,825,513,559,214,486,785,942,254,833,
775,223,598,268,265,099,047,307,134,679,422,681,569,934,410,208,982,621,684,
286,186,585,264,395,124,413,376,162,917,288,501,318,766,491,152,071,668,517,
357,976,059,170,115,939,566,316,290,333,725,667,495,964,529,838,890,638,761,
394,537,233,387,675,273,615,487,008,794,291,546,417,662,157,765,016,106,887,
789,049,496,389,325,316,536,967,701,483,943,543,620,192,783,283,198,519,955,
904,449,371,430,424,901,803,893,535,198,744,856,002,750,069,591,244,883,590,
978,953,247,425,474,500,296,984,406,001,277,229,488,827,584,775,039,248,415,
248,970,103,923,521,828,604,138,463,196,310,336,092,698,115,141,430,347,615,
433,065,723,911,966,557,801,912,797,126,681,501,712,826,880,547,748,821,699,
345,518,809,156,458,221,446,573,257,299,932,091,810,401,616,683,417,553,711,
145,039,059,670,234,354,789,487,730,371,184,037,996,565,046,883,053,446,709,
644,073,372,099,319,065,103,172,798,399,438,466,257,709,108,317,219,863,183,
935,480,652,540,107,441,913,194,119,725,933,507,026,998,592,826,768,527,495,
287,832,025,118,809,038,375,107,138,184,970,856,145,912,241,194,603,081,414,
890,311,467,598,548,428,852,916,369,867,919,927,122,587,224,466,230,190,435,
092,215,367,885,556,483,144,588,835,667,788,771,473,957,501,906,479,883,546,
121,430,458,549,532,530,034,246,446,706,868,275,487,593,224,478,470,712,418,
781,680,993,391,708,493,963,148,066,739,754,633,303,886,618,005,104,418,606,
872,085,099,519,982,144,690,371,099,363,860,252,952,983,539,709,539,906,746,
061,268,203,052,266,144,334,956,273,453,250,459,977,031,656,949,332,714,098,
127,184,858,318,906,875,618,829,378,700,033,899,337,708,584,195,213,542,401,
989,758,102,412,309,959,307,687,098,611,049,554,698,311,359,039,431,329,089,
802,143,115,438,674,610,447,813,420,745,137,657,381,412,874,712,317,501,660,
583,385,169,371,017,895,405,448,098,339,115,228,294,190,841,993,189,117,708,
424,645,812,046,202,962,238,201,626,773,354,643,243,502,073,967,274,232,751,
675,038,926,962,852,702,268,250,748,642,113,406,882,762,291,777,783,979,966,
870,854,477,207,680,423,370,034,291,913,216,247,847,135,155,965,622,781,820,
756,857,226,822,735,565,153,829,125,227,888,087,851,680,963,837,644,455,665,
873,227,236,845,342,947,490,940,871,748,409,770,630,309,882,696,465,013,751,
886,056,793,122,913,950,439,191,035,236,067,689,607,836,577,496,045,239,720,
587,138,446,860,043,531,630,257,845,233,594,272,716,008,086,826,600,075,427,
732,832,725,492,478,123,685,020,831,451,225,521,304,361,466,242,073,979,932,
522,310,324,688,736,729,238,270,843,769,735,833,786,229,292,961,562,242,061,
262,082,317,934,947,780,413,829,403,022,355,013,710,851,266,994,988,612,944,
930,404,142,635,219,977,585,019,518,398,458,313,702,041,628,424,414,360,640,
386,188,990,238,498,078,266,702,052,640,038,860,300,561,073,854,511,969,774,
958,099,944,867,187,041,449,432,168,122,300,864,447,230,288,319,642,797,964,
625,114,310,269,386,695,278,043,865,703,413,954,446,477,921,488,845,279,711,
438,978,119,821,827,330,823,334,704,729,102,742,618,167,125,415,336,999,728,
356,830,972,327,639,392,548,575,301,755,706,305,444,344,372,530,487,987,134,
092,584,243,035,563,834,241,116,262,757,686,199,338,207,183,889,632,628,144,
069,849,078,729,484,974,664,566,183,241,116,946,384,519,626,115,617,136,633,
391,365,229,036,947,832,973,383,927,659,016,494,239,152,883,557,291,352,650,
760,799,322,552,780,651,140,750,448,352,524,380,845,066,518,249,239,114,604,
260,648,465,071,167,836,916,624,905,053,971,802,797,854,798,976,863,816,331,
988,603,646,951,566,891,127,757,234,142,618,012,757,311,252,213,984,364,638,
926,410,227,874,832,584,473,919,992,476,725,322,116,121,916,493,697,294,394,
610,167,300,835,327,112,851,054,071,926,224,729,384,042,061,130,528,635,288,
954,328,434,392,263,917,126,220,707,974,435,611,471,341,756,990,088,003,422,
459,419,435,515,980,854,020,829,708,002,488,731,409,320,680,449,470,240,647,
105,408,889,018,559,868,449,309,105,925,467,533,814,842,425,438,691,762,621,
058,884,216,303,845,833,519,884,859,667,285,120,092,881,742,613,181,714,839,
769,973,343,838,465,343,186,617,087,738,374,539,106,489,914,063,070,040,273,
928,179,625,748,445,133,412,450,698,881,379,682,033,129,885,496,559,016,560,
468,546,276,415,810,873,851,244,313,958,196,464,839,557,915,774,363,260,166,
061,051,381,155,469,684,202,723,550,550,103,640,642,858,023,890,581,786,091,
903,347,266,753,774,296,445,862,077,400,857,417,727,724,366,247,825,491,849,
553,569,176,346,575,801,194,173,791,465,645,574,979,325,354,028,144,123,628,
148,080,674,331,258,360,432,465,869,174,323,472,913,243,605,143,210,872,594,
591,839,464,722,156,618,200,452,762,769,400,735,389,773,242,525,803,047,944,
166,148,603,172,000,001,969,519,322,216,720,236,621,751,662,351,380,133,903,
500,187,878,524,989,851,530,358,663,524,419,419,224,919,959,189,581,764,713,
052,969,352,772,817,889,219,811,545,981,993,273,188,894,074,453,599,338,921,
601,383,368,205,499,966,802,363,800,697,886,773,576,413,020,594,723,364,595,
194,106,857,059,473,030,047,954,809,218,893,447,848,575,770,626,870,757,362,
384,445,667,713,693,410,002,075,714,202,094,103,034,144,917,370,250,590,309,
932,211,679,633,898,368,974,918,712,023,334,074,493,610,129,761,720,227,729,
915,703,053,327,692,440,775,080,220,843,923,472,374,282,484,255,244,829,347,
270,022,916,871,766,884,971,693,964,301,502,255,481,619,415,229,761,895,670,
112,359,980,638,342,886,641,104,574,877,034,645,305,504,294,019,927,369,912,
794,278,479,928,095,493,334,292,715,095,555,509,364,976,353,611,965,889,624,
852,436,717,841,542,218,947,647,879,457,864,759,860,751,445,245,594,382,285,
687,870,943,985,697,648,495,392,188,141,097,711,806,311,787,534,312,255,668,
908,438,679,575,786,548,304,541,613,088,852,621,167,320,273,613,185,728,231,
546,358,985,905,724,685,099,071,054,995,661,022,688,751,953,515,202,953,437,
716,558,239,701,245,617,710,647,440,407,221,854,466,371,168,810,969,702,759,
427,839,054,495,446,328,319,666,101,770,838,487,553,088,528,209,531,934,496,
766,576,566,432,591,565,867,761,483,837,608,457,931,418,148,283,837,274,821,
888,781,290,712,246,374,693,582,652,057,178,695,507,809,242,120,922,575,507,
228,789,295,570,898,135,423,143,792,824,927,933,614,193,122,567,254,127,831,
689,900,465,745,955,404,563,075,472,285,781,594,560,496,053,075,628,295,921,
277,052,080,064,763,445,392,875,404,844,484,822,424,361,548,789,677,758,681,
552,975,201,623,657,145,385,834,731,288,235,036,171,954,533,271,924,969,026,
943,641,906,241,030,435,708,850,250,397,428,002,417,277,538,854,533,180,269,
387,571,107,367,882,347,216,771,410,487,169,626,011,674,934,310,726,613,887,
737,878,369,712,134,743,280,305,687,582,673,626,720,710,373,268,169,738,536,
214,190,165,829,929,176,353,656,204,569,210,139,270,367,226,426,230,091,572,
531,189,770,912,275,990,854,653,656,675,814,645,174,018,008,072,094,585,516,
062,236,426,294,437,903,989,580,435,147,579,355,208,472,874,773,994,027,841,
605,959,885,602,334,101,210,122,174,960,169,805,310,601,085,755,272,118,814,
835,947,602,340,117,929,281,842,176,902,600,610,327,897,767,782,566,542,276,
252,866,120,691,507,526,882,005,382,705,553,945,107,084,355,506,547,883,053,
581,701,346,649,928,918,256,816,246,293,808,089,461,374,165,766,800,421,067,
120,449,380,564,949,316,160,676,045,231,279,553,098,811,423,099,996,072,555,
882,886,062,406,054,429,029,290,077,879,369,314,958,028,073,063,130,928,072,
662,138,417,921,541,769,332,144,869,045,031,144,966,158,951,082,857,298,942,
786,604,765,518,325,895,995,757,069,228,020,360,348,531,112,829,753,980,134,
681,520,496,817,339,126,374,846,040,692,570,576,573,870,781,235,201,516,255,
710,826,251,505,690,590,003,690,537,249,163,096,202,631,418,989,655,565,158,
561,729,937,989,909,422,208,980,097,657,340,610,094,186,486,678,017,506,054,
190,576,636,459,225,973,593,970,296,686,362,564,624,139,009,955,294,272,926,
842,759,664,361,413,285,092,949,825,793,757,999,009,383,133,375,591,861,838,
385,455,500,199,146,048,189,358,952,870,980,177,335,307,506,338,566,082,527,
058,306,696,362,943,762,164,925,144,956,976,662,233,651,383,559,043,050,840,
121,598,003,717,809,471,938,564,926,515,001,603,623,077,523,038,344,380,377,
800,970,329,702,504,399,723,349,915,500,650,622,663,609,535,274,522,827,949,
340,548,407,641,212,937,387,255,239,269,210,539,470,358,306,984,015,167,387,
341,523,193,383,939,072,687,058,379,156,290,771,110,126,564,724,204,741,452,
571,453,905,466,336,642,275,750,244,265,503,605,324,053,978,151,015,472,313,
877,471,778,386,264,780,548,972,380,411,484,391,689,550,461,668,479,324,894,
675,737,802,928,993,041,164,383,277,232,779,587,914,507,825,129,941,591,579,
851,489,004,590,894,118,456,824,589,833,513,818,120,151,832,207,927,234,896,
855,977,700,324,136,349,239,983,500,641,532,173,924,070,200,207,284,559,759,
482,897,723,914,788,530,818,652,185,530,252,774,334,381,028,428,749,880,633,
085,399,607,042,790,039,847,297,820,902,868,973,571,321,813,749,452,284,230,
960,347,264,615,417,652,672,913,001,004,870,564,009,124,748,233,455,733,176,
288,670,236,876,802,383,586,006,307,468,073,557,902,869,370,659,089,675,894,
803,151,415,022,153,358,647,239,523,861,206,393,070,287,385,811,551,166,833,
427,837,165,127,884,226,842,466,298,945,887,090,553,994,310,998,384,851,690,
464,983,531,497,003,416,426,566,406,635,913,432,793,030,669,745,829,222,437,
272,573,963,820,903,047,357,475,197,869,481,060,144,763,703,050,346,940,819,
711,583,167,659,893,244,681,016,300,552,594,720,551,717,057,830,518,040,242,
342,772,034,919,278,722,163,369,718,325,061,742,004,504,540,954,785,235,231,
458,652,828,829,720,733,215,190,139,401,093,899,706,989,462,326,120,889,243,
939,181,117,658,393,056,387,311,601,348,491,841,544,761,549,745,056,680,268,
061,455,741,160,862,312,775,061,578,708,500,830,771,237,969,011,627,319,372,
068,327,996,277,404,699,555,313,349,529,973,675,616,128,666,579,020,326,309,
237,859,851,570,159,998,406,438,824,442,035,357,909,502,662,745,941,971,126,
100,956,235,924,769,687,008,743,319,931,160,579,059,665,733,263,844,334,608,
958,839,212,501,811,461,783,314,124,395,245,255,370,790,601,928,661,944,869,
240,120,716,048,341,045,027,287,739,898,696,735,114,399,350,629,307,658,981,
432,086,010,300,985,242,548,994,482,271,341,367,014,844,529,599,915,203,753,
665,426,630,684,672,247,409,000,233,903,143,455,539,956,412,385,830,311,843,
628,854,741,862,739,319,070,851,219,334,713,815,559,643,271,064,158,162,626,
151,203,830,163,646,714,595,462,477,987,342,206,396,255,388,353,649,514,027,
766,010,497,298,497,290,955,247,355,257,884,572,235,839,479,074,221,032,487,
245,537,518,841,157,051,436,190,778,057,034,154,907,363,533,304,526,494,995,
072,666,446,403,789,256,095,596,525,843,646,040,045,581,086,524,933,559,703,
457,713,836,885,069,183,084,853,275,477,336,282,329,951,740,053,903,139,205,
303,029,759,405,315,462,274,103,650,137,494,231,004,555,953,359,772,112,967,
411,763,215,557,645,754,318,890,788,550,042,975,549,658,085,087,668,411,490,
734,595,528,231,439,766,549,900,448,377,130,937,183,672,526,349,033,664,060,
322,247,386,273,597,002,883,928,864,686,404,654,783,215,523,277,780,104,556,
125,482,975,585,230,797,899,403,157,916,673,200,240,005,469,189,362,766,359,
006,008,018,238,067,581,700,412,372,968,301,355,871,386,897,879,548,886,350,
826,819,052,893,109,573,672,615,549,438,674,238,279,360,703,780,804,427,043,
826,444,142,176,739,658,648,891,036,509,415,677,094,012,877,891,253,856,959,
406,367,149,736,458,331,816,639,272,051,648,917,971,298,637,807,475,036,979,
998,408,353,863,603,534,327,265,593,177,552,205,421,979,085,174,426,777,479,
068,574,166,484,193,254,650,809,508,662,787,724,907,285,683,489,038,919,875,
918,829,376,119,998,972,443,550,125,945,775,504,265,702,930,099,013,048,601,
052,667,378,921,043,406,247,186,923,304,102,194,785,605,413,862,201,250,660,
875,252,328,286,205,220,480,498,187,275,782,843,607,029,789,794,054,009,902,
187,155,877,251,004,010,549,160,541,112,778,892,058,839,907,724,366,508,179,
071,759,060,294,822,696,321,532,012,597,018,017,723,674,042,909,670,461,872,
002,065,090,871,493,935,739,125,131,969,468,366,836,744,744,383,806,173,215,
939,240,928,166,636,115,457,298,690,778,935,687,471,111,817,720,109,755,496,
363,382,000,931,522,137,190,305,439,771,156,278,711,261,481,565,566,540,281,
468,868,870,990,388,429,950,203,932,771,704,687,769,986,106,357,231,201,224,
530,971,011,620,961,871,741,247,619,777,604,371,792,813,585,468,290,974,633,
403,849,562,821,902,764,213,889,658,637,589,887,160,689,413,181,414,057,581,
276,428,721,480,671,258,517,653,401,357,536,388,080,012,472,169,547,853,450,
948,236,975,692,591,475,142,633,711,567,214,563,259,512,967,700,552,213,699,
554,866,353,616,936,431,851,561,189,925,657,062,060,138,065,865,103,651,759,
207,423,778,602,339,324,860,282,767,039,985,881,765,347,220,563,581,711,414,
076,352,897,784,506,352,865,155,439,098,042,166,540,483,143,716,638,220,767,
104,478,948,005,698,811,761,033,710,816,053,799,501,726,479,694,829,543,541,
367,613,833,518,185,261,516,553,546,024,563,374,499,204,171,799,513,208,196,
456,105,547,563,811,031,136,848,851,167,162,781,295,300,734,689,828,343,793,
669,512,166,788,152,862,573,648,771,936,326,600,990,948,465,537,200,042,109,
198,548,857,389,487,316,655,055,909,041,713,774,613,002,081,900,096,490,350,
251,888,921,376,270,995,074,875,254,628,451,931,752,820,270,172,243,214,207,
179,094,999,307,260,278,771,955,752,409,706,978,706,655,574,641,696,240,459,
259,819,297,877,003,736,303,358,966,299,543,138,055,764,983,126,183,506,391,
746,711,286,519,543,246,559,120,240,249,000,330,277,770,056,999,618,547,553,
539,100,743,374,810,607,434,056,390,743,638,925,243,471,318,997,891,214,458,
457,934,135,981,771,757,189,890,126,951,267,595,394,074,975,644,742,427,202,
478,994,280,394,643,068,294,106,619,819,390,520,876,114,088,178,935,103,267,
731,118,408,745,749,196,873,518,260,393,147,445,677,851,764,193,966,292,122,
482,708,191,677,212,232,879,077,356,298,611,642,266,519,435,194,747,287,301,
742,295,614,582,506,383,053,529,523,815,749,417,574,203,890,561,598,139,746,
286,640,049,628,588,555,677,767,972,616,956,826,450,743,919,683,393,386,204,
831,443,090,527,250,546,994,490,180,993,952,454,560,702,904,704,330,346,324,
301,302,558,194,316,191,928,746,443,712,746,223,674,595,937,993,039,978,571,
131,907,397,691,909,228,366,434,144,202,880,963,139,140,061,387,330,984,801,
919,118,284,401,643,963,980,781,602,617,765,562,693,663,779,425,397,538,292,
221,687,614,344,410,553,763,512,929,370,472,798,522,798,662,745,797,417,515,
495,253,577,378,077,368,679,869,904,834,948,326,070,169,154,713,006,314,648,
538,942,375,563,846,488,242,362,059,355,954,055,340,055,649,093,197,628,394,
853,869,037,387,293,359,548,571,811,545,529,658,354,510,948,428,798,486,420,
822,726,766,208,190,264,341,077,872,940,406,518,376,744,220,344,747,315,429,
007,312,513,384,848,834,955,788,901,186,633,354,638,539,364,161,645,652,909,
100,923,392,961,568,851,179,962,043,312,727,773,227,886,910,054,742,909,401,
084,904,052,598,375,128,822,774,505,193,955,643,662,161,926,996,541,884,784,
565,116,449,941,513,676,270,458,703,590,826,390,733,691,130,058,962,767,639,
764,327,990,243,597,898,157,158,176,520,823,767,108,091,490,065,368,994,291,
344,955,590,169,950,140,991,842,059,373,024,627,194,673,785,063,570,218,464,
026,977,870,238,809,789,256,350,846,846,509,072,628,240,813,577,805,438,292,
247,119,025,112,529,191,014,335,057,613,325,480,164,861,456,587,655,557,470,
519,734,622,095,921,784,938,402,413,418,541,226,091,857,867,542,588,414,042,
979,917,393,120,248,637,140,683,842,781,661,223,544,192,961,352,549,387,898,
608,150,139,970,078,014,252,303,720,477,756,329,042,263,038,997,434,610,779,
477,965,171,281,370,409,988,835,962,507,434,017,844,971,265,228,658,355,769,
879,779,992,779,498,448,555,484,355,984,445,460,762,783,741,867,544,419,444,
623,441,438,919,774,757,126,174,336,142,979,207,993,681,000,057,395,733,768,
764,443,105,488,492,618,558,628,672,063,293,201,023,086,662,093,296,649,906,
169,114,234,958,343,614,386,750,398,391,126,050,518,504,121,988,467,448,540,
715,531,697,052,511,219,116,566,033,582,625,222,489,316,712,075,118,162,433,
466,005,964,410,540,366,147,537,564,137,223,566,086,307,081,003,707,508,535,
724,628,596,194,403,433,419,497,335,424,189,245,737,214,027,551,653,114,589,
121,891,621,285,687,625,709,743,996,926,497,612,316,765,786,966,132,370,632,
556,173,813,662,131,316,533,394,315,770,975,329,696,981,778,272,459,473,354,
412,081,766,824,040,847,733,417,455,870,282,828,590,274,473,049,228,644,460,
377,935,163,274,320,390,319,352,018,628,194,949,975,789,365,567,125,032,045,
757,628,524,591,396,052,462,495,889,181,947,819,587,907,127,808,024,026,338,
837,768,331,761,494,001,869,610,291,500,409,819,726,971,379,213,090,839,100,
066,402,784,709,998,331,626,697,746,892,032,758,963,232,425,589,609,974,835,
056,425,214,402,276,016,044,578,561,551,962,832,332,313,519,572,153,039,303,
238,111,590,352,630,959,928,149,987,655,862,933,322,680,708,524,704,176,464,
118,572,771,664,005,828,876,234,526,707,339,942,849,400,510,783,736,903,347,
185,237,017,298,139,382,448,247,145,681,078,526,780,962,675,409,735,318,753,
484,505,072,334,817,576,814,934,443,023,104,515,056,470,086,306,117,572,039,
138,130,546,554,495,135,666,457,819,814,084,524,073,852,895,658,621,642,667,
610,922,482,192,176,312,671,943,289,234,609,345,509,655,392,052,199,477,835,
976,161,500,498,958,320,497,137,065,472,800,854,558,499,398,188,023,096,106,
346,395,936,313,072,987,532,293,973,815,432,761,037,717,031,429,923,643,222,
459,856,608,664,626,477,385,619,412,458,888,909,203,025,512,577,233,243,339,
138,038,872,588,511,030,134,461,963,265,562,496,612,573,210,688,809,540,119,
193,930,636,019,262,260,691,459,745,566,975,578,314,806,620,728,612,535,609,
001,186,260,677,404,441,172,422,352,624,992,154,598,573,732,822,365,345,858,
766,710,579,384,514,750,486,947,657,836,932,176,604,226,277,016,820,750,219,
249,812,991,023,315,838,281,912,195,250,323,365,335,040,053,783,564,317,560,
227,148,823,349,266,932,205,163,799,767,273,376,939,886,361,481,614,166,950,
618,229,351,084,584,271,974,246,682,115,894,312,371,151,049,381,836,246,729,
724,368,864,791,973,477,785,230,780,664,337,486,023,193,947,464,974,811,666,
565,477,658,625,240,643,376,815,337,227,782,156,612,207,205,519,501,739,893,
588,978,470,404,230,683,356,867,450,281,285,751,639,308,196,959,762,291,799,
022,267,473,585,406,934,613,134,800,313,046,710,749,130,160,218,826,077,301,
029,035,642,971,762,551,592,415,442,878,682,462,999,614,528,979,271,795,781,
130,554,997,066,861,421,079,108,487,820,097,949,524,793,610,609,768,005,358,
581,456,897,523,534,097,151,216,202,395,328,329,980,762,713,961,671,501,591,
949,859,673,345,220,213,294,793,167,774,892,158,305,323,181,223,702,107,766,
512,193,435,805,209,849,635,350,172,453,415,067,235,314,356,762,526,812,292,
676,001,571,910,662,776,143,967,637,234,559,077,735,107,943,088,311,539,822,
122,891,348,464,725,696,801,511,962,883,726,453,437,706,254,859,463,664,093,
998,806,969,288,799,179,533,942,603,212,409,266,909,168,734,045,422,658,955,
744,782,578,817,292,244,688,546,643,506,661,700,018,917,993,845,211,634,705,
379,720,201,760,064,676,291,590,540,800,047,094,026,586,522,810,605,060,935,
959,212,915,193,043,139,698,799,343,719,421,568,309,998,309,594,451,709,247,
418,733,968,852,654,388,993,719,862,342,035,956,922,610,053,246,438,701,288,
560,371,602,599,509,075,699,374,251,644,220,723,512,964,115,624,503,738,196,
741,287,747,753,722,061,980,699,929,809,745,783,411,270,587,195,401,090,466,
821,542,511,558,917,917,165,067,534,725,519,878,254,660,068,024,441,591,942,
562,043,377,153,538,010,072,717,671,528,881,882,089,382,775,879,206,060,317,
256,507,726,537,823,784,772,218,366,745,088,681,094,347,543,830,324,639,803,
066,696,480,632,185,632,984,880,460,953,664,853,308,862,259,789,477,662,613,
221,068,197,119,537,609,635,672,268,362,479,362,015,693,720,401,716,734,811,
562,935,675,864,138,799,566,946,472,100,072,046,491,345,303,826,378,172,521,
030,044,448,398,473,910,240,278,161,660,397,976,087,650,481,077,252,680,343,
638,173,232,477,042,621,450,791,687,366,635,306,341,411,760,774,269,232,146,
898,025,746,069,875,243,685,974,711,311,726,108,864,585,084,114,276,175,215,
147,249,110,287,928,315,110,437,530,474,280,138,988,451,705,263,229,726,879,
254,032,852,050,174,696,282,775,217,974,581,629,464,501,066,779,839,317,314,
787,408,651,747,660,609,892,994,560,489,592,816,640,963,035,201,233,406,155,
432,039,058,676,455,680,814,161,169,999,201,117,874,223,369,862,953,828,510,
302,863,013,085,022,878,255,103,704,802,333,668,586,749,281,997,564,454,876,
368,356,160,026,565,643,628,256,340,519,749,522,389,459,046,971,095,962,665,
324,171,961,750,995,325,434,162,206,446,455,222,433,344,401,537,159,377,725,
816,559,737,797,763,785,496,305,821,470,810,977,093,497,525,172,237,344,005,
676,430,083,199,323,931,563,435,498,426,219,087,568,112,213,939,804,422,332,
508,898,563,416,155,409,528,993,788,903,741,073,922,254,446,200,453,354,462,
344,533,826,858,034,155,153,400,696,332,897,797,132,975,729,337,780,449,527,
988,707,245,325,842,027,627,097,562,390,129,313,734,482,892,965,595,671,903,
432,936,641,707,898,390,881,592,108,326,713,168,967,939,534,685,937,307,899,
959,947,194,094,258,111,245,374,379,415,096,264,296,218,629,002,359,136,483,
807,623,717,122,222,405,691,962,678,367,153,981,634,809,971,466,192,574,555,
144,554,146,691,567,048,521,333,059,952,053,370,901,703,816,953,137,741,052,
699,333,549,849,332,689,072,050,925,705,425,585,717,439,780,486,849,499,488,
716,045,731,535,974,926,733,468,803,370,131,763,006,856,154,876,409,330,508,
380,223,664,231,253,174,708,959,051,026,697,688,095,519,128,012,350,700,542,
738,145,441,295,927,795,685,045,151,482,634,729,081,258,925,311,108,781,121,
647,354,884,938,344,537,832,874,197,473,014,677,864,841,904,321,931,967,162,
691,417,029,349,273,673,410,274,034,749,530,448,671,299,446,356,655,146,626,
462,153,365,207,577,373,268,175,608,152,194,717,045,009,022,681,011,590,681,
659,789,583,177,782,655,053,229,563,565,031,978,866,073,946,868,504,301,433,
374,885,526,382,483,634,175,324,246,525,149,261,889,756,511,802,307,554,517,
960,698,652,125,906,387,780,279,311,618,831,201,687,561,758,765,381,172,076,
979,577,671,970,730,611,526,606,398,995,120,524,914,714,293,926,199,814,153,
456,159,312,839,380,178,317,890,681,678,756,868,566,455,270,074,532,093,206,
368,129,344,240,996,063,397,749,509,532,649,378,538,255,383,020,275,865,729,
034,732,410,270,625,230,491,101,747,944,413,908,469,202,531,991,502,803,745,
537,248,179,286,803,521,023,329,866,789,498,305,807,940,962,315,949,923,575,
305,571,257,640,025,615,656,552,991,111,395,860,645,527,769,217,107,548,485,
540,377,131,249,545,435,571,646,098,231,914,246,428,847,034,105,633,331,986,
216,876,676,798,209,071,468,872,994,993,679,154,499,496,391,066,348,734,719,
150,572,850,001,130,736,205,158,813,039,382,087,840,344,748,064,574,482,606,
995,415,619,592,723,680,667,492,672,872,829,665,708,528,990,503,597,154,751,
093,863,331,762,996,299,636,334,739,835,369,774,107,706,434,419,864,853,703,
414,592,663,584,577,146,988,652,799,711,796,795,953,668,948,788,008,448,074,
781,705,707,890,314,154,709,663,986,610,268,979,385,538,399,882,554,655,225,
604,901,274,700,415,603,809,445,501,335,995,226,634,555,510,907,505,367,801,
632,580,764,741,193,682,917,324,550,117,148,187,210,361,442,874,907,258,687,
570,507,180,102,852,240,061,800,615,149,819,390,273,357,846,066,709,260,972,
246,085,292,261,085,493,184,124,958,857,850,330,240,282,116,350,924,691,681,
641,425,445,241,678,450,905,812,147,796,434,152,820,961,941,663,013,186,618,
988,349,098,240,064,304,364,034,800,375,532,580,717,876,171,453,554,067,846,
362,677,579,356,717,393,732,223,857,742,025,859,890,073,008,564,394,278,369,
615,242,982,840,480,579,767,892,959,668,904,306,728,314,424,430,552,837,512,
758,438,154,672,083,942,120,805,362,987,021,559,233,967,444,302,683,712,320,
484,996,860,035,050,780,930,009,720,958,608,078,412,543,939,854,127,147,006,
622,883,017,279,033,740,896,917,101,215,133,003,315,785,333,406,400,961,807,
289,702,758,937,160,215,864,410,785,733,256,404,575,855,874,674,453,358,266,
856,727,613,023,018,794,073,860,173,356,406,607,869,167,748,215,811,350,390,
822,781,676,469,226,379,842,951,838,463,962,466,337,824,645,791,387,356,738,
644,073,905,179,825,202,816,318,048,669,977,079,509,987,314,821,454,547,066,
524,798,339,630,428,629,619,453,964,621,051,206,713,183,522,372,454,975,055,
447,485,493,071,004,329,967,693,116,396,083,843,612,902,652,675,639,395,006,
152,050,442,910,314,613,198,112,297,083,179,378,313,418,426,163,503,646,366,
006,817,509,231,420,668,202,534,479,005,238,619,849,938,382,291,047,052,307,
311,054,203,444,478,087,336,049,162,267,925,602,642,537,485,776,596,839,008,
476,455,397,544,645,809,603,028,306,137,572,546,247,976,438,140,224,775,757,
778,380,682,950,231,411,679,118,440,068,938,908,938,151,816,792,099,951,506,
778,527,260,374,011,164,581,394,178,259,837,074,197,689,000,186,207,367,460,
304,613,211,863,905,365,536,287,770,932,933,968,527,297,287,766,084,726,928,
637,343,018,617,531,535,070,274,422,924,563,386,596,587,887,877,185,140,476,
965,420,513,338,554,557,496,081,921,657,550,128,230,553,586,741,083,457,117,
412,230,054,490,528,528,538,522,352,463,751,695,883,229,535,741,024,513,158,
404,608,680,428,217,593,427,825,915,401,750,160,806,162,251,116,838,809,924,
415,813,054,109,072,076,443,732,267,665,260,382,473,665,790,365,823,716,211,
286,407,340,381,835,215,262,001,414,495,908,765,993,309,503,089,845,538,546,
549,506,367,138,848,369,419,468,155,462,718,756,312,181,448,114,534,058,512,
108,103,727,399,097,135,113,494,926,398,136,107,732,546,359,380,844,458,487,
255,051,953,556,582,004,291,220,529,232,792,575,613,157,778,795,280,616,564,
550,240,664,358,935,152,950,643,371,836,705,769,756,950,843,922,040,037,741,
052,468,756,660,633,442,947,921,786,236,317,445,681,291,799,363,783,331,807,
111,610,723,611,901,648,255,712,686,115,926,395,364,413,799,634,639,475,424,
529,512,615,627,737,968,191,978,644,002,305,332,864,259,462,040,355,958,000,
859,003,596,450,262,450,633,993,618,894,325,762,929,470,911,556,649,665,721,
670,471,122,551,611,844,737,896,143,341,772,808,013,200,406,116,434,807,546,
234,688,907,641,906,355,747,715,099,317,805,963,097,489,042,967,730,868,373,
243,803,753,219,315,119,553,813,701,503,827,434,062,448,784,857,893,519,331,
482,706,522,383,786,015,461,316,289,124,159,015,436,819,671,813,194,881,019,
637,023,533,139,885,061,185,664,128,223,763,698,281,908,352,720,651,671,910,
509,802,086,670,528,869,026,249,060,823,201,377,911,947,804,583,658,614,420,
004,134,529,427,621,991,579,416,519,942,726,923,506,856,671,453,762,702,579,
854,842,980,167,732,344,717,914,254,157,446,329,489,120,414,208,088,206,153,
300,348,586,025,455,023,981,244,420,170,640,985,317,772,222,296,679,199,277,
585,567,141,543,339,563,603,929,640,560,834,871,792,442,424,462,085,485,226,
448,749,181,156,181,781,601,565,429,101,160,389,403,448,105,105,771,759,601,
838,685,939,093,639,965,266,953,990,905,984,841,151,325,785,203,291,604,561,
697,219,432,244,286,160,066,373,453,554,347,483,172,979,674,565,423,487,082,
382,488,332,755,062,106,698,448,051,843,747,145,699,332,145,014,081,495,152,
533,333,582,902,711,314,339,673,773,990,749,766,734,434,493,366,155,764,990,
277,450,883,844,923,626,651,910,330,169,667,861,324,187,272,967,698,602,093,
191,734,654,725,766,026,707,161,372,652,838,819,876,337,638,858,163,126,795,
041,901,390,437,487,042,961,375,464,507,264,798,875,222,556,259,011,753,663,
168,968,105,431,047,273,399,424,952,410,553,336,405,858,827,476,087,226,465,
829,491,182,935,827,834,048,707,534,570,491,648,158,089,776,203,838,992,777,
318,823,415,650,760,766,016,712,184,876,378,189,787,796,192,200,295,939,111,
532,172,886,745,289,503,524,287,205,464,845,793,923,226,279,643,092,969,555,
747,814,811,585,222,723,929,345,338,031,642,917,226,544,981,017,570,113,418,
511,269,466,563,991,977,394,554,861,703,069,001,383,031,105,169,124,814,246,
413,579,698,148,829,545,268,739,473,396,876,194,910,066,242,877,919,977,082,
440,456,829,645,552,941,584,683,752,114,904,792,503,863,762,546,892,845,932,
519,074,614,603,660,351,307,160,446,166,654,242,180,461,182,406,288,542,594,
095,012,628,370,329,087,001,404,122,483,851,434,065,757,470,612,644,926,419,
199,945,909,965,949,408,893,770,306,631,203,184,298,431,109,735,875,711,981,
939,593,312,921,086,848,402,788,374,482,804,574,634,882,403,792,473,871,555,
911,568,528,586,927,151,347,899,855,194,653,461,703,362,460,901,560,264,985,
554,013,351,658,489,967,686,965,449,430,506,144,690,986,526,316,092,579,079,
090,325,164,487,330,669,009,110,186,825,023,046,417,710,348,856,148,422,571,
834,879,783,813,334,974,789,276,918,090,099,532,795,982,599,180,313,338,093,
684,236,675,015,246,246,368,310,878,462,638,347,481,559,387,249,695,430,360,
846,708,909,360,374,021,510,100,168,380,373,123,438,992,101,341,984,255,672,
896,343,555,043,875,653,804,589,316,293,569,317,313,815,002,311,316,980,977,
966,722,770,540,211,678,559,745,143,255,293,435,107,129,649,206,348,365,492,
630,807,059,612,253,840,096,220,423,554,415,263,000,965,801,649,720,921,963,
790,891,653,951,188,102,212,683,081,960,066,870,731,927,643,886,473,902,103,
516,006,397,892,614,611,885,858,906,799,075,828,027,480,333,425,461,680,311,
526,543,438,489,944,706,522,998,051,745,274,534,880,432,148,093,956,404,355,
404,906,962,895,456,981,774,103,905,533,164,601,782,904,507,313,908,718,653,
018,093,094,838,660,550,836,479,870,865,055,817,751,293,199,736,288,872,725,
435,103,563,319,928,943,113,433,550,713,371,164,168,194,298,625,400,627,152,
363,579,671,883,246,128,625,707,776,109,602,880,883,694,014,564,400,536,452,
139,396,778,617,666,952,754,027,602,127,369,639,091,757,140,081,811,008,513,
546,932,156,473,747,126,259,341,349,941,176,460,305,054,741,402,766,557,126,
290,775,702,185,838,352,493,791,220,783,009,982,195,928,219,492,911,399,843,
032,233,208,477,905,941,134,453,815,533,951,004,804,261,503,832,123,753,971,
080,942,274,201,530,017,137,400,265,485,168,078,463,131,975,048,914,670,937,
947,315,492,073,653,151,874,317,599,918,214,754,132,937,242,023,569,243,084,
138,304,480,096,207,281,152,994,661,034,075,033,628,044,497,694,646,103,373,
136,069,423,520,737,336,348,614,679,502,711,509,712,681,811,715,855,748,950,
338,600,692,632,825,609,367,885,038,696,408,231,145,607,009,344,987,413,268,
712,490,722,925,360,561,943,903,115,954,530,253,309,547,379,251,180,016,046,
529,187,253,267,332,026,390,147,160,296,684,074,535,676,712,442,699,492,594,
034,467,897,139,821,397,502,584,891,700,787,107,693,292,838,984,694,859,459,
798,813,342,736,207,951,205,192,218,877,138,051,607,688,160,646,476,676,397,
928,157,337,696,794,765,816,544,225,877,930,733,200,311,712,321,900,301,001,
631,473,442,574,528,977,980,795,991,872,726,603,174,660,920,487,175,091,208,
005,809,565,018,239,648,829,411,614,575,701,782,107,404,121,301,150,542,717,
163,068,994,246,858,411,224,102,677,526,989,005,596,893,186,695,260,210,960,
944,867,665,505,309,033,667,099,687,300,849,185,213,500,501,769,050,138,074,
041,513,079,783,435,667,988,754,685,544,362,188,525,503,215,704,095,909,793,
370,707,173,456,987,333,543,704,650,770,307,811,368,068,189,919,481,426,306,
281,367,843,932,054,477,224,276,395,152,077,845,853,988,081,760,926,571,677,
409,330,768,387,111,030,930,428,010,355,099,119,395,030,538,154,802,619,083,
615,468,939,844,219,776,976,794,955,378,838,329,387,248,538,340,043,601,176,
141,785,951,740,399,314,927,438,621,632,579,546,988,886,690,362,786,075,780,
724,751,301,167,532,524,532,409,169,686,033,525,601,809,456,213,740,326,930,
995,933,416,673,430,068,994,006,508,340,899,053,447,323,386,017,729,959,603,
859,007,738,235,244,028,677,133,361,622,704,877,429,132,459,044,857,467,659,
487,076,065,576,455,564,366,612,109,741,585,515,265,260,725,495,103,364,837,
864,771,161,387,454,768,709,825,380,254,721,599,792,486,010,614,961,723,620,
526,788,375,774,718,700,161,219,236,823,468,873,693,946,478,064,751,293,441,
787,030,714,656,364,436,098,402,509,052,396,440,595,319,091,364,849,990,138,
424,435,702,077,001,324,797,957,716,910,757,297,950,105,382,128,656,481,155,
532,354,439,783,134,325,392,289,244,258,620,836,999,405,127,715,406,605,835,
095,885,457,267,518,872,633,199,247,334,905,358,175,068,675,113,231,396,745,
722,643,209,621,908,230,373,062,823,307,311,891,991,881,230,353,624,337,542,
497,794,777,059,329,142,980,285,768,343,541,975,388,718,884,119,657,444,506,
824,247,697,595,132,860,129,778,093,066,617,912,689,007,063,995,759,003,906,
881,168,827,596,489,599,295,636,368,686,095,269,751,614,692,849,734,956,797,
120,581,383,460,726,401,135,662,840,633,314,709,563,270,747,988,337,070,555,
031,899,853,161,639,322,317,116,792,871,528,230,195,304,529,444,385,193,289,
386,718,383,279,028,527,707,370,494,278,254,045,500,087,937,980,452,071,549,
422,024,450,065,934,167,999,370,598,072,962,617,572,571,769,038,231,108,450,
652,479,639,389,847,274,890,556,892,570,239,542,209,372,932,162,263,212,566,
133,828,228,958,097,677,026,960,643,884,167,734,334,174,938,909,789,625,864,
409,645,785,669,145,291,805,135,403,280,170,553,868,214,352,610,657,131,014,
745,758,523,510,741,184,277,675,344,661,683,126,693,695,564,079,743,732,561,
793,369,419,332,645,801,499,412,960,209,282,079,867,368,244,637,962,164,605,
690,249,212,807,160,555,945,512,272,141,829,287,624,273,992,592,152,511,655,
171,374,355,556,494,867,411,707,730,525,276,429,756,088,027,047,649,812,026,
668,517,046,650,820,515,728,478,275,051,489,103,196,147,627,670,157,278,922,
457,633,708,270,781,215,014,966,683,372,858,928,316,411,459,111,395,567,408,
226,595,994,723,408,449,778,236,597,233,276,323,495,036,678,516,305,576,455,
735,658,241,479,067,078,094,476,069,641,789,755,167,653,972,715,713,357,067,
070,067,737,891,462,862,359,599,516,972,690,095,113,929,634,389,464,641,675,
952,392,627,618,034,783,169,033,489,365,507,481,748,985,694,775,512,752,100,
824,687,201,183,496,702,614,804,654,263,529,461,799,678,257,564,351,153,007,
038,140,205,522,928,706,104,679,578,083,085,212,784,542,373,083,622,908,192,
076,326,399,998,249,746,169,587,654,394,623,442,623,423,154,207,679,028,900,
070,668,595,183,766,634,924,245,003,781,192,700,259,925,509,565,225,583,116,
693,736,173,862,722,987,681,148,206,780,173,442,709,467,163,970,026,857,913,
050,126,332,905,446,070,233,449,829,463,426,793,898,344,075,514,601,202,660,
731,854,616,795,106,132,514,591,189,508,914,866,074,024,699,914,623,594,445,
634,310,142,548,738,882,390,587,024,424,959,542,773,369,758,329,524,580,310,
381,860,165,281,773,535,498,348,470,793,485,563,370,157,374,771,533,537,660,
548,427,679,461,115,375,620,679,807,840,763,332,300,463,493,767,459,705,308,
289,101,137,513,738,109,521,456,111,450,796,470,232,611,819,540,161,953,188,
574,100,261,891,044,619,305,308,768,684,542,864,698,421,386,458,487,046,929,
830,340,677,742,344,343,944,921,616,850,652,384,058,794,163,135,495,225,073,
091,513,339,209,125,913,755,372,970,419,502,656,403,115,686,295,743,551,932,
360,376,569,822,484,684,800,249,386,086,483,395,309,364,333,284,929,658,811,
216,697,146,393,713,770,546,048,741,816,566,198,794,392,576,066,239,216,229,
569,790,744,306,198,837,458,064,260,281,147,712,545,216,786,198,397,609,527,
616,037,496,416,861,770,689,680,514,416,233,137,064,931,927,813,905,053,065,
562,363,459,502,984,351,482,022,830,952,406,176,470,743,673,497,000,993,425,
507,663,076,650,918,110,469,632,370,032,818,414,687,470,734,202,022,470,416,
715,817,242,773,705,785,401,964,088,759,866,333,537,950,810,336,460,548,018,
050,365,756,856,950,709,333,165,232,659,028,300,856,453,515,504,963,302,994,
143,104,430,439,869,964,304,592,324,774,696,594,737,031,240,930,277,074,367,
782,983,742,004,568,545,654,460,079,708,696,867,044,569,571,111,573,852,183,
787,488,736,629,438,960,453,563,283,060,172,095,374,326,796,538,039,485,081,
960,464,259,591,693,883,574,606,182,755,911,784,279,207,724,801,193,299,471,
549,521,912,100,125,824,401,807,640,465,130,555,385,443,046,850,219,187,439,
077,829,553,370,418,485,474,463,044,911,872,392,819,696,291,900,320,458,269,
138,842,831,260,205,474,398,572,311,462,229,602,819,043,508,604,716,332,888,
594,013,276,123,141,711,059,802,992,163,725,377,753,033,801,646,713,003,327,
640,459,527,738,381,297,720,279,216,182,257,806,067,296,027,509,946,470,048,
305,570,864,120,772,655,873,952,121,335,091,302,114,363,055,502,246,037,447,
728,317,991,766,737,629,649,334,169,500,168,740,280,194,446,033,818,904,260,
123,953,038,958,717,205,675,881,856,116,306,298,238,694,771,407,253,652,883,
038,834,068,479,742,212,295,973,272,391,432,520,066,481,553,205,565,550,417,
742,890,895,950,750,818,283,199,499,911,556,236,593,852,529,891,122,466,553,
497,944,412,560,839,546,019,435,534,018,981,221,604,038,996,004,959,285,245,
624,218,019,528,495,708,038,840,986,914,017,401,217,902,766,341,602,410,788,
725,835,069,825,638,242,340,709,380,198,252,316,781,781,182,366,908,678,053,
086,083,860,220,943,469,975,528,849,719,741,252,547,659,622,206,715,875,743,
577,678,893,664,632,646,657,479,792,272,868,449,010,693,990,671,770,638,167,
802,432,470,575,273,896,515,775,203,595,424,645,888,297,248,758,204,479,563,
436,231,412,229,271,886,977,654,616,615,262,694,734,142,743,342,271,005,228,
423,205,176,734,295,935,128,444,941,646,284,733,722,297,759,817,866,641,613,
232,455,563,801,441,706,641,541,551,588,463,969,375,457,047,725,137,611,783,
073,395,181,894,970,605,378,782,338,533,166,062,784,647,059,581,983,445,870,
189,232,359,633,202,809,837,882,974,985,585,038,763,373,411,554,560,581,267,
608,379,272,106,966,603,365,861,770,720,113,329,066,073,514,799,488,041,535,
078,226,129,495,824,052,112,984,842,315,996,046,207,609,392,321,887,599,985,
620,975,993,841,382,731,481,153,437,124,082,401,098,654,340,605,617,453,189,
095,692,106,956,311,913,367,291,797,021,376,308,962,910,754,015,053,015,505,
256,476,055,104,936,574,088,980,630,311,929,327,443,547,755,597,659,441,770,
497,234,159,465,470,602,463,500,908,284,530,376,254,665,214,944,693,713,806,
947,273,490,521,732,991,457,978,308,695,028,806,343,192,594,753,956,229,390,
999,902,198,016,018,089,475,844,903,429,390,739,599,559,764,299,525,422,439,
430,913,430,410,907,398,405,870,500,915,953,652,736,418,716,735,358,610,571,
342,124,261,172,417,949,445,249,976,080,839,605,118,818,083,118,117,197,465,
884,685,427,385,305,862,496,701,577,797,529,654,372,530,811,721,156,250,446,
272,694,838,386,673,711,662,466,634,434,193,424,204,606,862,477,019,821,534,
341,074,511,651,639,299,511,393,940,554,115,352,105,979,378,247,791,620,800,
501,027,342,192,752,792,815,317,617,945,100,059,498,382,557,759,870,623,441,
657,752,460,935,717,213,464,202,098,339,334,648,245,146,460,033,004,993,904,
943,776,463,072,987,933,753,237,650,662,409,182,563,730,072,070,238,909,611,
438,078,977,056,029,399,152,507,749,964,553,530,387,671,613,886,560,679,661,
601,232,616,289,809,467,439,123,802,794,224,970,572,552,770,148,483,179,227,
808,182,407,951,112,861,304,046,778,651,822,265,292,963,582,879,065,117,940,
293,024,586,590,745,160,553,974,853,809,667,721,691,569,366,115,181,246,859,
940,343,498,374,896,188,452,458,870,539,920,063,312,453,045,608,451,238,698,
236,352,990,583,080,385,324,753,511,260,012,283,863,889,951,962,010,190,821,
730,236,932,664,725,615,101,958,028,610,167,560,055,732,150,215,095,035,012,
038,498,437,064,540,791,578,679,194,401,040,594,583,361,465,252,770,687,630,
145,618,111,760,606,632,083,341,747,498,914,043,692,325,341,772,464,913,803,
751,828,368,705,991,307,032,154,981,185,786,559,592,676,308,864,038,376,175,
843,350,060,860,659,387,500,039,105,560,955,549,436,584,007,667,740,508,145,
586,360,543,500,314,303,793,962,225,568,987,773,764,002,175,281,020,723,035,
599,918,855,260,759,538,773,393,670,220,691,705,940,194,701,003,401,716,708,
807,832,672,847,081,267,819,724,342,572,173,493,981,792,025,876,521,621,709,
673,376,256,117,364,709,447,018,630,265,068,003,701,890,845,261,355,608,324,
510,214,027,061,133,884,153,470,794,214,991,040,171,879,408,352,662,968,968,
705,623,460,326,681,325,524,549,070,403,942,563,050,101,553,692,608,339,580,
468,649,863,200,580,739,103,450,605,948,359,715,073,352,453,564,140,581,317,
405,396,955,229,085,627,468,196,743,084,507,610,772,311,960,656,568,715,843,
990,759,474,787,706,217,970,771,703,869,404,871,203,924,736,303,938,140,800,
971,769,696,835,141,322,448,473,378,474,722,458,967,262,277,105,108,576,709,
392,220,733,763,697,003,563,757,741,839,005,489,357,950,294,028,875,792,211,
412,310,170,547,624,336,502,640,630,571,617,980,971,135,031,980,238,241,768,
455,747,307,625,143,599,443,189,865,061,073,819,474,546,229,878,423,506,975,
758,692,699,680,729,352,249,978,422,673,849,129,854,755,304,104,707,577,912,
064,463,868,147,320,033,134,764,108,208,803,973,466,802,447,842,087,754,515,
625,121,344,764,476,826,046,986,075,536,761,414,418,428,216,353,208,236,004,
162,060,744,697,315,215,431,335,748,537,709,562,125,520,692,883,888,785,168,
902,836,453,283,034,244,243,253,079,035,451,088,813,636,912,052,750,985,108,
986,921,010,718,721,754,597,063,332,756,855,168,575,550,491,790,259,304,823,
496,378,855,842,449,374,740,818,458,710,251,235,619,612,473,529,842,145,724,
802,483,521,886,444,320,371,359,551,193,716,422,387,813,792,412,991,306,886,
464,289,744,116,123,925,309,813,604,643,984,036,995,033,485,610,223,654,649,
376,667,357,684,724,771,761,795,040,006,839,879,887,898,233,468,119,244,013,
074,210,464,008,251,475,436,805,274,086,323,161,393,984,356,214,350,529,341,
944,592,506,299,332,260,682,606,819,869,440,239,494,567,428,175,080,757,296,
716,104,029,644,205,010,791,255,427,423,729,149,904,681,223,081,242,126,555,
305,200,073,542,384,826,928,215,933,267,278,343,424,322,183,108,946,708,639,
367,653,260,134,020,540,301,522,378,079,368,928,823,501,195,816,556,348,574,
102,809,980,543,473,410,909,555,699,476,050,371,410,338,076,459,786,326,068,
001,129,760,369,910,156,006,846,613,692,338,092,051,524,470,015,679,654,305,
844,214,287,553,535,389,346,737,430,233,588,272,726,299,413,843,195,861,560,
770,515,568,533,898,204,072,344,822,236,147,100,528,548,983,700,729,308,569,
411,247,872,203,319,362,815,347,011,846,738,237,910,850,832,590,479,366,640,
071,495,456,880,263,675,198,467,496,931,369,541,469,413,040,183,069,615,460,
847,972,229,159,270,846,459,320,148,560,622,837,325,726,942,443,816,414,707,
704,127,247,447,486,917,145,006,751,449,380,043,608,543,223,236,945,416,294,
274,344,927,856,018,489,598,001,594,587,885,142,265,724,650,435,570,932,816,
496,946,647,301,962,833,571,537,828,753,053,561,354,662,927,804,684,507,685,
057,519,768,190,246,845,333,563,899,209,360,517,376,682,729,010,333,119,579,
623,719,926,514,165,048,710,784,650,635,709,428,376,321,276,697,883,129,742,
003,343,824,976,524,597,400,674,248,955,964,977,754,579,685,610,857,064,391,
020,079,994,433,450,404,221,452,091,234,577,432,596,755,380,854,744,582,697,
070,732,379,365,098,226,434,416,609,855,878,760,774,135,607,339,634,327,055,
891,366,450,257,739,009,669,442,845,819,617,834,482,151,888,506,227,326,551,
358,795,118,158,018,272,335,658,509,945,008,372,148,223,664,103,666,220,417,
272,709,803,036,665,075,361,887,769,699,173,185,371,162,137,808,129,691,809,
202,156,689,412,791,404,336,810,524,655,724,550,587,321,538,535,892,776,119,
862,733,369,810,201,819,398,238,804,279,976,706,584,097,367,106,325,718,029,
887,967,242,913,605,687,233,591,310,268,744,144,549,959,080,475,704,683,012,
964,643,983,841,780,249,454,877,208,046,900,546,481,279,313,321,193,240,152,
003,917,548,031,664,817,144,958,840,898,565,508,107,820,866,446,460,341,486,
243,600,405,444,347,067,006,011,361,196,669,539,086,312,405,089,616,943,556,
472,960,445,484,805,477,732,507,916,295,173,806,209,640,774,373,513,265,827,
546,256,588,999,813,801,063,462,481,246,883,740,989,225,870,984,591,454,221,
589,832,240,824,312,525,615,656,546,503,649,268,821,819,175,009,998,788,581,
549,070,652,779,025,622,416,607,216,635,013,498,394,485,051,127,387,374,866,
777,817,963,052,695,762,424,740,519,464,280,782,400,481,279,563,333,762,313,
287,524,348,936,649,193,769,007,714,210,962,414,762,714,007,106,923,460,727,
932,123,988,319,744,731,285,392,974,261,260,378,037,041,587,465,184,936,296,
804,577,329,505,523,901,611,736,840,796,461,810,895,182,305,904,436,590,531,
910,283,313,836,274,751,232,259,554,055,652,405,283,649,269,747,551,188,063,
137,502,551,888,417,634,324,189,374,782,372,490,620,483,413,711,650,003,759,
114,665,415,836,980,127,530,573,591,265,810,274,541,337,373,535,838,757,610,
946,383,686,037,317,085,913,366,088,677,587,107,292,381,062,807,137,609,127,
979,664,030,600,230,421,479,211,894,564,903,267,179,789,367,382,625,472,606,
982,795,011,889,203,700,037,225,642,370,363,776,335,071,582,787,044,665,126,
964,709,783,490,489,861,149,889,650,499,657,219,469,216,478,446,101,389,513,
783,687,613,906,230,634,210,377,095,244,757,130,228,186,924,438,206,734,495,
148,846,779,864,399,650,230,062,059,815,095,151,975,425,863,111,820,050,558,
997,893,285,496,945,136,098,100,598,305,657,031,321,882,302,621,837,061,754,
492,247,915,037,184,708,341,149,260,254,354,235,324,899,831,636,399,631,481,
088,831,473,621,544,987,706,370,626,795,757,308,634,938,732,885,776,308,224,
506,174,267,378,694,334,939,708,246,931,179,763,498,877,590,385,179,210,492,
994,676,423,403,090,136,500,744,870,149,941,332,791,499,748,885,938,203,423,
284,704,137,407,173,232,814,923,426,404,132,917,529,401,912,296,138,288,825,
632,106,502,011,835,891,081,083,176,806,623,120,388,356,861,069,984,294,491,
447,770,285,063,710,611,071,359,553,385,346,404,620,777,605,053,035,284,801,
865,839,646,676,348,562,759,308,215,929,095,576,567,656,035,110,742,447,203,
732,754,594,199,184,340,532,797,566,562,207,741,310,454,816,539,388,565,802,
154,332,672,686,486,857,803,685,649,296,129,971,416,265,294,671,787,141,534,
167,273,977,231,962,887,451,844,357,024,392,418,507,292,129,295,507,480,755,
679,132,435,711,779,343,488,423,876,512,389,476,517,532,563,797,731,076,244,
783,231,540,109,550,398,591,311,635,524,177,647,361,025,803,451,522,146,703,
342,621,305,415,824,979,539,307,825,815,181,445,330,153,683,868,048,433,449,
662,736,139,086,531,739,463,483,319,114,015,473,880,196,895,200,453,475,596,
150,950,743,097,675,183,659,125,259,214,536,655,378,849,300,947,431,985,961,
979,733,578,371,040,093,598,987,353,502,201,519,810,945,511,091,212,089,317,
919,954,798,305,285,204,097,561,838,445,801,030,881,118,595,841,428,953,893,
977,409,986,813,554,994,341,865,583,771,245,704,353,187,849,369,590,596,033,
190,822,457,718,357,707,572,840,217,989,037,733,531,115,625,916,147,754,472,
732,742,106,891,825,523,187,860,704,099,625,523,039,248,383,446,482,497,193,
029,488,596,598,186,546,220,057,580,825,096,066,430,709,016,935,025,849,332,
300,633,837,485,992,086,071,345,154,247,771,249,135,883,647,155,043,472,928,
399,145,710,848,260,898,297,740,649,581,466,162,973,944,582,439,415,423,682,
634,899,324,438,252,224,339,920,676,922,328,158,102,120,624,584,115,218,685,
454,516,203,999,127,379,704,360,959,906,179,455,214,292,380,944,413,169,580,
656,622,669,103,434,076,516,424,899,611,425,585,590,559,330,425,127,610,003,
296,205,055,288,094,041,843,068,336,751,204,517,680,545,866,275,305,785,654,
054,284,688,938,684,877,032,544,698,977,117,834,416,865,032,708,948,241,530,
697,906,461,240,195,729,337,693,113,546,303,138,383,554,656,710,509,481,610,
030,323,383,622,708,460,304,189,972,615,909,758,068,883,693,962,737,756,911,
060,663,690,351,017,133,522,784,259,981,401,977,157,357,647,472,347,606,113,
750,809,853,482,673,758,276,834,321,218,369,965,409,003,234,394,969,221,048,
358,447,875,672,075,595,633,503,837,722,118,462,427,430,180,245,087,670,105,
734,910,023,664,093,310,776,271,020,095,223,876,291,431,513,347,910,051,844,
368,058,035,979,191,898,918,816,362,561,499,313,966,637,138,493,441,382,314,
528,847,292,749,715,272,730,262,801,750,040,829,686,736,078,482,984,792,936,
547,047,295,733,530,808,761,849,869,855,984,156,642,847,981,845,411,812,891,
700,692,698,109,706,685,269,347,178,304,755,288,266,158,406,108,658,720,429,
764,564,593,670,122,742,872,593,340,399,734,985,906,778,772,388,839,548,564,
759,029,227,442,376,948,130,592,767,658,012,801,593,665,870,851,035,131,860,
586,390,181,263,402,588,566,042,514,891,110,856,285,049,399,812,786,255,582,
070,556,146,702,229,656,290,310,221,117,253,304,548,415,582,247,596,753,488,
297,702,864,061,218,441,012,941,832,156,789,969,828,738,476,921,541,400,661,
235,896,823,078,611,516,465,737,967,689,082,628,816,967,094,149,208,278,891,
640,720,041,526,279,631,264,671,249,757,005,878,541,621,692,182,047,317,037,
494,465,597,313,159,285,134,456,304,338,612,265,220,209,420,114,784,980,126,
047,909,399,668,726,753,304,426,250,204,834,189,353,732,815,588,592,990,287,
574,405,867,184,392,396,402,354,133,213,558,784,425,363,745,669,818,158,345,
782,008,694,365,510,616,938,080,651,322,273,155,678,675,088,655,958,042,673,
732,813,033,483,997,495,826,165,597,407,269,201,030,378,855,155,332,690,182,
837,177,293,304,452,534,638,873,526,904,866,660,884,200,430,224,394,082,486,
876,731,642,531,854,234,716,539,173,668,390,138,190,468,212,365,639,803,430,
868,896,561,384,510,851,435,804,355,363,225,544,134,269,390,189,575,658,761,
157,828,605,429,630,764,456,809,249,204,827,910,880,710,561,174,585,820,373,
942,099,943,401,625,972,357,513,755,263,181,495,698,214,731,848,567,814,653,
680,206,310,729,081,041,235,389,048,023,405,854,676,226,337,758,266,676,308,
379,185,414,899,496,574,838,911,201,762,068,417,068,583,968,900,904,665,122,
269,005,826,977,618,330,530,121,286,669,095,049,937,455,825,021,916,907,344,
217,308,460,628,186,989,114,249,487,883,933,378,063,803,759,883,396,361,233,
257,718,573,905,827,697,547,272,904,068,225,547,865,841,333,851,469,903,921,
657,294,102,226,631,387,740,820,983,783,209,795,180,608,685,139,245,954,679,
009,295,305,234,703,128,188,947,167,057,546,517,047,543,067,179,203,020,417,
340,743,680,562,859,623,775,368,467,601,330,987,404,800,605,669,203,408,725,
672,698,631,183,668,396,653,769,395,745,719,261,013,272,016,152,243,937,716,
718,582,742,046,397,638,657,695,095,679,298,933,374,803,455,130,534,486,484,
696,633,648,459,530,906,952,623,393,507,982,367,541,775,269,890,078,845,144,
347,657,274,532,465,980,637,617,394,769,356,954,475,276,197,111,979,310,056,
396,050,596,764,149,851,697,169,715,438,832,961,442,583,474,428,674,871,311,
454,520,811,308,552,725,664,414,364,184,954,598,566,014,235,698,226,430,250,
766,120,065,951,265,655,541,771,811,270,221,547,164,681,627,760,884,055,571,
831,822,330,002,897,197,587,257,604,778,900,778,007,435,712,838,873,146,236,
452,386,927,382,741,031,050,612,672,257,930,319,246,668,095,384,847,446,077,
985,559,258,995,525,330,261,305,284,877,333,469,371,618,462,334,141,778,370,
991,460,084,959,403,553,909,790,309,115,717,419,442,440,643,558,806,614,427,
044,996,968,020,051,733,309,937,685,858,675,382,430,226,374,110,257,434,135,
140,477,239,743,799,760,425,836,162,954,825,602,858,053,869,863,652,773,917,
126,274,116,447,973,029,729,285,717,573,827,496,704,331,818,736,082,940,839,
930,096,290,365,497,606,645,485,875,792,311,559,941,900,184,201,290,100,130,
642,015,343,027,064,977,096,681,700,257,172,558,549,710,875,749,635,852,000,
090,434,229,741,253,309,072,179,528,416,541,108,564,377,611,285,203,022,443,
842,036,997,029,329,354,333,131,032,337,783,452,801,280,291,820,028,167,064,
380,495,734,595,028,028,032,354,633,981,833,556,870,842,921,102,693,986,488,
206,940,065,613,723,171,479,042,017,764,105,152,007,468,350,149,704,980,328,
677,843,631,352,369,967,972,432,604,277,159,174,798,321,847,785,506,275,099,
222,707,122,284,442,275,422,447,551,722,435,656,364,809,350,218,304,256,234,
935,594,884,189,596,709,437,772,239,266,085,396,577,305,968,923,224,347,327,
634,534,107,916,132,191,781,512,550,423,051,557,276,187,156,023,630,119,216,
503,382,180,526,490,109,102,193,727,951,392,612,425,771,609,470,237,157,369,
907,537,350,213,048,427,863,329,928,427,777,240,235,193,841,116,427,265,097,
544,074,758,691,704,796,676,635,347,273,746,155,528,028,729,946,630,219,572,
903,274,792,167,367,193,486,370,132,863,358,242,609,577,389,969,214,555,219,
184,945,723,053,147,813,139,151,063,861,046,154,406,286,984,744,082,932,890,
814,534,331,270,955,016,776,149,939,373,851,151,948,343,074,171,152,992,431,
213,705,756,474,491,586,092,099,070,333,732,885,248,529,114,594,682,565,112,
551,244,462,014,296,419,570,752,690,293,096,866,304,679,593,363,365,253,186,
013,117,988,359,251,505,656,675,605,369,455,453,201,846,328,032,603,270,646,
223,026,518,721,075,017,545,035,094,083,123,243,603,473,989,727,143,963,582,
285,150,414,058,768,672,543,667,833,602,516,176,094,070,249,829,130,383,390,
449,248,674,213,094,403,395,269,652,934,460,088,670,126,371,822,222,822,338,
461,283,322,092,840,686,567,996,540,334,832,047,834,534,850,915,531,830,868,
570,353,377,144,415,997,715,761,695,355,315,057,865,525,052,308,611,016,003,
191,991,400,292,498,698,039,196,114,057,737,728,078,781,360,503,648,931,066,
990,005,550,343,024,561,137,567,227,257,186,839,151,775,998,395,633,645,719,
104,722,461,763,879,578,772,878,379,985,594,586,034,087,435,494,353,248,188,
419,647,409,175,558,449,229,120,990,957,858,256,563,159,472,743,929,346,057,
061,710,220,108,581,740,160,150,397,971,474,022,528,509,749,876,854,072,369,
168,435,845,761,444,942,179,952,726,998,942,106,155,200,342,406,776,136,799,
452,327,155,625,388,408,500,626,742,150,009,694,442,754,590,945,292,306,357,
323,265,254,917,708,204,584,760,198,139,291,138,382,329,215,818,005,106,520,
992,930,318,732,797,666,320,894,339,512,677,250,219,612,327,629,106,160,838,
844,873,772,147,627,559,101,591,958,489,934,479,762,612,641,954,525,968,362,
264,129,640,640,265,023,205,020,148,646,435,829,119,320,786,679,518,712,739,
364,862,417,642,033,580,702,165,015,681,016,169,064,703,525,944,347,274,458,
838,085,232,483,018,840,550,315,683,706,887,927,619,971,179,386,144,211,319,
141,824,784,664,055,452,471,670,849,031,530,353,021,392,099,516,274,469,827,
843,908,544,886,573,931,158,232,808,976,171,915,708,590,100,535,321,909,980,
277,047,292,354,453,394,333,799,090,997,217,272,308,631,545,906,956,652,466,
393,379,004,669,641,327,696,330,880,956,850,075,959,377,517,885,233,806,187,
804,646,736,221,846,277,942,338,983,572,649,928,654,189,446,332,754,992,058,
041,262,253,168,262,662,409,923,348,157,733,750,286,299,022,981,364,407,555,
286,178,243,068,308,904,825,513,022,437,178,141,955,898,404,954,135,938,954,
254,341,476,268,164,713,752,475,424,054,909,929,079,723,905,829,386,991,180,
628,567,064,797,184,266,419,264,591,464,166,333,098,847,833,346,906,188,748,
248,629,315,289,961,997,933,301,102,787,398,086,431,223,277,036,773,976,221,
460,233,550,784,407,349,470,747,709,737,437,928,325,739,201,928,275,130,102,
445,072,748,442,930,000,623,987,831,374,515,630,850,949,863,440,421,693,536,
027,292,422,023,406,027,202,115,200,119,142,142,071,148,616,344,677,498,876,
837,551,330,096,081,558,025,660,139,308,013,970,722,103,865,893,896,507,110,
587,327,359,863,842,194,005,668,371,352,351,555,927,924,344,613,512,576,091,
951,423,703,910,441,219,733,974,753,218,225,248,557,370,478,024,421,854,639,
948,312,704,159,148,239,788,979,264,737,000,093,188,668,310,607,995,666,600,
748,179,327,819,180,053,318,890,468,006,640,776,289,692,996,148,014,900,016,
783,600,561,055,147,047,234,409,092,643,371,387,614,004,934,741,257,893,800,
645,378,771,026,401,700,651,896,168,450,939,341,900,942,625,963,044,199,960,
349,698,259,307,584,513,375,073,235,985,469,067,474,272,272,681,552,209,585,
316,490,061,476,312,711,790,760,738,041,271,625,188,277,126,145,134,322,162,
983,375,069,731,351,705,758,583,741,756,444,552,681,172,808,337,253,063,260,
393,673,732,520,414,935,116,376,200,750,432,385,626,439,709,495,856,191,583,
256,309,850,217,900,692,960,131,967,706,217,526,217,176,183,332,149,840,347,
484,497,439,260,598,747,813,783,266,438,626,528,892,467,199,443,021,282,146,
925,407,094,396,922,910,112,638,226,497,038,192,889,963,989,702,671,864,864,
465,161,499,227,749,952,066,879,797,783,014,288,048,881,257,008,150,701,690,
887,339,258,595,253,398,089,589,261,816,639,134,534,782,836,289,237,550,879,
817,526,353,804,208,336,457,641,452,972,825,232,359,261,740,700,230,447,702,
239,135,790,950,345,865,195,177,494,607,788,342,511,338,779,817,654,743,111,
817,464,794,983,279,539,155,624,784,765,477,019,138,959,484,796,943,447,787,
351,852,753,684,261,639,934,390,493,851,701,894,636,224,946,541,553,343,470,
535,932,667,921,987,497,212,975,999,920,445,687,123,295,615,811,863,006,156,
103,757,178,967,148,988,873,872,413,430,213,773,014,032,553,431,686,160,088,
505,682,762,016,740,191,560,729,595,453,117,264,171,717,560,921,027,346,531,
678,095,878,108,673,862,446,762,962,589,014,926,350,638,429,660,410,216,771,
959,502,126,549,158,696,200,592,728,011,758,211,221,992,663,373,223,926,282,
785,379,457,360,305,034,548,056,102,129,513,235,236,754,194,048,829,704,544,
875,417,072,544,050,254,439,477,683,919,741,598,956,340,403,013,508,461,729,
448,281,633,738,599,798,924,495,574,702,487,768,756,925,847,867,832,924,032,
416,702,779,469,305,319,147,815,831,135,055,559,670,050,920,807,165,450,070,
933,877,037,794,183,537,244,829,541,316,355,976,764,955,370,445,884,528,865,
456,381,296,555,894,219,689,697,317,720,756,771,473,129,270,046,509,976,447,
223,019,185,982,290,235,195,309,759,983,210,790,210,641,557,604,361,883,322,
354,553,520,804,956,184,411,862,685,023,666,297,110,220,843,644,239,920,634,
323,810,335,456,081,983,542,338,870,265,471,698,794,500,651,959,924,419,089,
672,393,627,008,176,577,813,561,348,098,745,539,743,857,002,473,932,040,125,
079,036,480,060,866,626,803,791,630,907,660,494,603,404,732,090,503,836,866,
428,339,180,627,127,224,900,024,673,354,974,752,904,724,644,713,914,754,374,
349,104,686,737,077,038,824,447,230,700,377,286,363,430,500,334,643,650,392,
024,138,753,339,862,277,155,947,001,437,323,270,875,429,279,396,817,042,685,
603,115,131,316,316,869,737,241,923,648,627,958,909,647,746,127,935,058,155,
991,077,600,412,226,917,793,680,581,665,306,438,716,403,091,280,220,905,311,
651,111,596,560,781,495,722,107,828,824,504,237,049,488,674,629,699,427,848,
042,745,452,867,378,055,090,814,144,050,259,237,639,791,304,185,107,478,614,
059,292,738,104,315,882,341,725,028,773,250,296,694,083,683,882,178,836,085,
558,732,056,119,084,349,949,386,418,708,218,287,898,239,155,196,255,331,324,
689,055,287,532,270,459,987,962,963,117,500,092,803,424,086,970,103,233,000,
319,774,336,596,809,232,126,297,298,730,255,483,866,134,194,663,005,446,680,
082,893,436,921,828,629,285,717,469,075,644,682,644,940,892,737,702,398,203,
512,386,461,704,764,584,358,718,988,624,438,661,394,989,050,520,163,742,155,
096,656,198,029,942,064,921,392,236,124,795,758,782,598,382,383,093,212,251,
045,105,617,288,889,294,039,015,841,711,100,387,259,405,392,082,704,956,645,
521,685,694,282,468,258,688,582,127,529,609,180,829,132,099,578,219,490,361,
891,810,051,523,407,816,645,512,579,658,307,144,571,821,139,572,914,567,299,
702,982,186,317,435,688,592,659,630,241,972,621,128,522,417,060,237,935,791,
148,729,816,986,499,106,225,295,058,004,002,189,174,877,616,990,159,407,432,
974,074,669,835,973,818,597,022,203,951,803,915,237,817,466,382,469,882,631,
074,535,359,667,462,003,078,481,089,808,102,801,068,429,068,564,780,567,768,
024,555,790,756,308,414,394,159,091,178,307,251,075,383,355,668,760,532,434,
033,100,850,990,720,986,243,384,043,784,830,069,722,861,989,617,868,102,546,
303,993,610,164,961,691,483,664,140,042,828,596,953,403,646,145,642,831,799,
218,465,719,275,920,086,918,246,027,383,410,685,481,987,076,015,378,419,101,
152,963,345,893,498,647,530,534,554,573,088,595,168,228,391,941,665,990,892,
972,357,174,317,353,315,351,013,454,678,973,920,661,349,916,707,920,066,938,
262,057,012,110,749,439,615,297,316,103,410,743,407,325,471,480,688,203,742,
331,568,696,832,668,412,627,425,899,990,796,409,577,784,024,619,773,055,955,
396,898,046,285,913,432,513,064,597,062,379,350,060,215,588,012,264,261,620,
217,849,164,967,749,940,497,723,019,803,747,703,867,666,022,413,047,605,542,
184,424,056,824,490,473,012,814,481,625,474,962,199,894,776,124,942,579,061,
547,263,624,861,209,446,802,662,799,960,431,156,994,686,594,064,770,143,641,
081,594,928,226,887,716,906,045,121,831,805,740,397,980,769,718,330,629,393,
315,781,114,817,487,542,903,458,701,171,626,892,319,386,660,590,316,869,717,
199,284,475,938,445,557,514,592,796,092,086,777,285,129,287,012,756,686,292,
652,301,315,729,906,558,547,616,603,127,124,958,932,752,879,382,261,165,022,
745,571,767,357,545,434,500,225,888,611,614,428,848,118,901,632,186,511,515,
356,423,573,265,492,250,009,218,173,475,806,323,677,329,146,464,467,194,203,
812,039,901,651,967,148,124,239,417,590,842,222,803,987,963,624,763,202,979,
266,308,511,313,203,578,756,624,404,700,063,223,006,661,846,725,055,080,861,
198,154,832,772,700,321,406,619,192,482,563,670,314,160,230,645,475,969,679,
174,949,405,333,077,071,703,881,761,410,111,545,473,137,236,038,564,639,195,
336,777,192,015,827,782,324,732,425,940,610,469,160,675,788,511,637,022,518,
179,092,533,310,986,545,220,837,727,500,755,717,173,160,794,944,294,627,582,
082,173,479,130,889,939,645,031,470,413,918,749,638,747,322,299,384,292,935,
921,111,822,016,710,328,940,084,429,610,532,048,890,196,819,524,813,801,652,
656,366,770,707,142,242,567,032,472,867,873,708,664,980,117,352,551,803,226,
782,836,940,832,117,035,913,446,936,712,558,705,938,138,078,424,363,779,395,
033,410,398,760,948,968,529,446,806,732,089,129,322,715,657,833,274,076,395,
247,906,473,247,956,887,924,466,484,576,020,036,103,942,979,259,557,335,403,
715,672,434,284,306,214,143,368,186,634,298,011,041,434,590,007,711,352,680,
789,606,194,503,893,281,618,830,315,806,538,300,948,929,294,773,130,988,522,
990,559,559,420,554,066,872,588,122,786,268,031,272,071,194,953,158,204,309,
890,344,119,931,122,742,102,278,769,933,433,204,012,322,761,665,589,036,884,
384,603,909,615,658,096,914,260,501,241,268,682,391,602,692,691,820,435,417,
449,008,010,602,598,774,420,038,258,406,896,398,524,633,105,739,866,078,597,
659,661,618,369,342,396,211,550,267,421,632,172,824,661,448,154,811,166,242,
396,681,021,125,025,488,203,606,096,125,104,653,061,958,308,255,854,992,392,
270,657,645,349,661,028,828,021,666,514,557,247,317,536,397,374,839,389,069,
202,000,368,607,553,336,735,404,593,590,650,601,216,671,164,399,513,289,652,
148,573,558,043,426,451,817,484,084,204,366,047,249,673,865,764,195,848,816,
334,174,669,303,225,585,955,165,478,358,095,973,424,619,630,812,447,911,168,
111,214,558,581,173,653,432,760,218,980,154,882,372,963,792,007,499,355,414,
170,915,110,854,336,208,055,123,221,606,874,872,177,495,874,112,126,917,245,
657,534,208,131,675,339,543,212,768,157,873,981,330,273,594,813,688,818,095,
317,615,395,093,513,520,231,573,751,409,631,170,265,955,930,888,829,568,189,
732,699,670,621,979,634,708,192,099,305,282,787,370,122,414,875,258,272,045,
141,102,399,933,084,971,295,890,540,061,774,761,404,116,420,305,555,946,718,
747,040,379,432,114,282,813,098,766,083,641,486,261,308,555,637,497,601,513,
431,695,676,672,619,119,533,697,617,161,265,878,201,479,083,359,470,377,254,
376,986,709,089,419,794,564,537,145,188,660,386,923,941,872,212,794,522,034,
760,212,536,214,451,478,142,296,429,718,500,576,371,847,427,808,852,419,681,
507,808,299,801,311,655,287,364,492,522,366,422,563,502,773,558,234,420,149,
619,131,238,224,819,381,991,278,727,854,824,793,209,349,029,421,522,340,623,
691,882,742,059,333,842,267,336,203,013,216,985,400,837,847,368,036,030,682,
095,618,425,833,825,979,461,125,823,595,876,569,083,176,166,900,147,494,221,
794,356,286,595,731,077,914,794,016,850,152,400,134,906,363,650,744,061,205,
508,168,336,517,559,866,022,858,336,686,542,774,531,814,330,187,857,077,581,
369,840,907,507,832,208,553,119,572,394,296,347,754,276,986,416,698,496,881,
258,603,454,839,564,659,185,600,718,286,180,668,172,868,562,879,954,695,035,
077,189,450,228,614,408,189,238,445,138,583,143,997,754,222,520,577,919,040,
458,065,171,144,934,112,975,969,414,053,017,785,654,343,466,964,981,139,938,
478,999,285,112,307,733,592,730,241,993,480,165,770,945,881,228,992,839,258,
683,347,419,008,254,360,305,159,055,954,319,986,139,638,677,223,805,432,842,
637,019,285,671,577,579,909,161,637,643,065,096,171,823,658,492,166,733,690,
093,493,242,037,947,410,758,921,153,960,768,382,489,352,990,681,480,933,879,
117,577,985,138,040,320,692,254,089,466,618,539,608,396,599,322,886,728,253,
724,988,581,081,363,756,489,111,023,101,554,644,816,567,565,213,028,754,504,
780,535,036,555,393,075,728,567,820,379,615,913,593,369,139,899,555,118,058,
339,026,237,608,072,038,604,613,489,320,818,793,309,933,692,169,444,317,491,
694,897,704,229,418,617,813,956,220,843,780,258,247,919,983,243,048,442,782,
715,240,430,764,309,970,554,091,869,246,728,242,611,805,741,731,030,418,947,
869,055,680,479,228,848,552,231,096,500,371,933,597,213,333,969,269,527,620,
042,632,216,502,702,643,791,625,323,330,613,982,999,857,838,904,993,188,401,
569,212,711,928,469,708,935,620,888,832,133,180,221,961,057,417,918,632,501,
935,700,813,314,066,444,659,871,092,439,329,654,013,225,839,273,974,926,833,
186,511,180,896,814,825,020,745,394,163,760,319,133,302,821,381,039,965,443,
985,072,176,122,289,427,705,095,514,235,243,456,270,824,129,320,470,866,986,
046,592,678,422,124,750,623,358,038,614,681,903,855,641,948,830,409,430,533,
245,496,304,381,804,611,831,138,180,445,897,976,841,902,350,303,660,054,870,
656,897,553,830,375,068,249,773,554,084,705,896,685,539,590,233,219,842,785,
631,403,952,629,240,523,678,189,751,091,094,457,039,150,650,602,581,339,744,
733,975,164,107,244,359,913,747,921,328,267,055,383,086,485,697,585,661,840,
610,537,568,436,897,080,245,343,362,965,946,699,506,590,703,819,934,098,855,
209,975,254,154,141,077,334,335,073,806,217,753,912,644,911,367,336,787,905,
022,705,157,351,246,704,581,979,787,185,648,505,389,778,830,438,309,644,428,
149,634,173,797,690,988,440,678,343,751,199,492,961,350,163,678,477,962,537,
521,869,408,988,493,286,061,490,555,215,792,735,075,159,755,557,897,490,674,
724,348,399,932,475,821,161,868,952,045,859,477,622,812,369,688,925,501,908,
719,484,028,669,428,448,668,281,084,331,591,779,778,613,933,275,999,784,325,
241,000,688,838,634,626,145,000,773,579,878,006,933,090,009,360,510,706,050,
778,325,463,360,909,712,158,552,562,470,124,101,076,792,538,724,894,882,481,
087,771,144,582,971,238,073,138,147,708,665,095,382,157,841,295,537,783,521,
211,918,351,613,492,058,866,882,486,892,911,587,866,762,269,360,504,917,982,
770,453,766,475,465,818,646,271,114,139,386,111,921,672,672,214,395,760,202,
462,796,874,271,614,854,869,275,387,712,841,575,656,009,406,661,728,683,775,
279,538,588,107,442,054,191,257,068,031,061,133,468,640,844,730,290,510,065,
207,925,959,948,284,726,616,306,551,242,222,084,464,194,091,412,502,194,845,
987,721,506,371,502,480,246,657,103,224,905,821,805,236,648,566,174,315,751,
627,948,837,587,288,807,599,721,674,268,572,750,984,401,202,884,763,341,607,
361,416,552,668,814,921,186,300,581,660,091,742,231,718,112,681,557,816,938,
719,565,542,714,802,802,017,255,801,743,501,389,836,843,029,954,737,676,911,
569,972,335,211,219,255,745,924,567,019,594,659,559,746,521,230,962,029,950,
238,287,329,719,403,812,170,887,723,376,634,599,809,420,279,016,896,028,212,
897,107,996,733,643,581,742,790,135,822,151,071,716,617,879,561,505,900,570,
682,226,605,346,800,725,580,571,472,143,181,403,915,020,701,996,830,569,777,
437,466,284,982,835,629,367,210,042,606,479,187,122,946,536,468,069,572,791,
527,590,987,033,643,081,088,321,327,691,947,870,617,309,810,388,079,219,820,
207,198,220,080,913,475,185,932,399,130,414,841,509,662,221,481,056,651,870,
345,450,691,734,675,484,163,800,778,128,635,830,143,209,366,579,293,322,708,
604,106,789,765,258,979,928,955,990,393,361,772,277,325,891,181,077,897,057,
034,028,722,779,957,123,885,759,269,211,065,375,057,392,311,997,999,939,820,
835,149,173,740,936,816,126,074,233,463,732,651,294,277,911,678,805,620,890,
149,699,395,033,373,650,196,062,116,020,713,840,061,550,925,767,416,753,032,
264,790,451,051,295,973,007,415,725,746,116,339,155,885,829,626,049,210,477,
062,320,213,913,076,738,117,104,256,516,860,452,543,986,916,786,434,382,605,
428,714,514,581,908,844,625,935,779,129,931,365,092,019,151,937,618,461,527,
909,930,793,937,385,123,586,022,906,421,323,677,161,776,642,166,918,093,945,
860,416,300,457,773,752,416,121,264,739,948,980,127,722,043,173,222,961,843,
868,344,993,889,894,251,721,437,658,581,309,428,085,026,367,572,115,670,019,
077,338,053,024,350,786,977,182,476,232,644,655,504,866,093,181,922,067,801,
243,633,072,128,309,727,482,870,341,759,705,456,733,986,983,765,682,124,603,
497,981,127,867,430,063,222,632,221,039,380,039,800,062,815,609,744,120,307,
924,829,339,885,371,923,746,399,482,262,289,532,898,383,975,260,235,034,513,
871,335,358,478,765,960,817,537,836,505,484,314,801,581,863,532,172,825,775,
700,833,823,691,868,637,006,971,066,951,762,310,032,286,381,461,684,628,558,
356,532,015,253,480,167,545,838,539,151,529,833,141,030,284,300,884,683,899,
750,181,139,186,619,331,221,602,844,253,702,679,021,713,067,594,290,566,266,
941,027,728,871,511,941,126,056,964,248,065,812,134,382,965,215,778,182,514,
857,871,021,608,696,061,413,288,370,475,912,501,379,897,963,824,398,832,097,
280,908,209,848,311,994,047,378,491,152,795,299,703,521,775,991,965,427,262,
227,605,557,477,490,174,253,124,283,038,390,209,375,746,403,447,039,008,588,
615,171,167,388,588,143,722,820,461,823,027,360,627,279,334,153,576,827,804,
446,188,233,157,805,875,654,164,865,087,018,863,812,596,730,839,491,884,512,
602,448,708,977,983,510,801,466,121,933,146,230,988,058,901,313,078,011,915,
695,950,753,867,251,073,961,714,668,063,400,889,496,716,258,892,843,293,666,
037,657,631,924,295,426,275,319,445,116,549,027,168,333,693,489,783,831,964,
100,643,674,066,004,031,551,302,728,325,488,025,553,926,942,372,786,598,230,
553,338,977,947,565,176,670,137,294,807,176,652,099,883,971,319,663,580,720,
713,319,813,924,612,119,490,336,999,148,735,029,900,518,755,177,240,198,053,
117,172,140,625,909,890,149,731,145,361,016,187,962,409,135,723,924,086,284,
287,391,832,324,140,577,178,107,735,654,279,015,006,114,741,048,743,765,837,
132,355,915,630,266,796,453,497,466,590,590,598,268,081,981,495,999,184,555,
824,788,121,575,833,407,916,226,642,902,692,393,947,558,987,490,141,214,739,
685,620,817,549,342,787,683,682,260,634,465,109,322,782,177,476,463,459,581,
477,105,055,988,293,532,198,775,600,986,964,658,256,081,440,859,940,475,792,
903,495,766,837,662,536,581,019,610,092,402,237,090,851,963,458,696,040,487,
212,967,676,034,207,108,966,024,011,858,502,198,346,706,807,436,367,021,566,
425,650,796,954,856,884,466,548,031,596,345,713,716,645,718,610,677,018,925,
461,016,639,087,730,774,309,453,177,168,270,372,563,923,119,294,630,733,449,
349,184,519,204,147,894,648,220,370,829,257,852,050,800,731,240,706,903,358,
357,339,997,097,002,135,639,785,801,802,175,644,886,641,380,363,364,922,109,
326,848,368,466,655,262,473,092,234,685,676,389,422,588,406,058,216,763,233,
336,153,535,443,683,047,780,718,253,737,307,514,980,570,119,500,092,567,665,
196,392,551,751,687,642,210,720,931,370,403,893,189,796,711,977,849,995,595,
132,735,358,593,025,717,593,630,839,974,769,149,578,636,848,938,899,876,355,
579,666,126,893,074,203,674,854,137,150,465,521,724,081,318,223,372,159,830,
812,275,302,820,951,748,700,880,627,054,545,451,623,989,416,762,336,182,674,
383,204,730,939,822,732,430,302,345,812,875,793,768,858,646,365,101,116,532,
491,149,020,675,702,460,238,124,359,710,146,445,772,687,020,123,677,184,023,
491,050,289,306,441,966,959,537,504,009,414,224,244,149,743,649,115,432,252,
918,539,061,926,484,253,151,184,140,360,537,592,057,895,661,316,820,240,980,
923,144,652,714,080,174,984,995,729,403,535,834,161,047,154,700,333,139,851,
882,819,449,574,081,081,763,025,650,814,316,935,510,583,609,447,432,343,326,
890,515,721,627,218,781,962,749,726,719,784,998,712,021,708,255,085,974,371,
615,196,507,663,002,573,568,213,627,719,541,245,979,299,253,112,219,856,237,
894,917,051,312,916,818,484,806,029,090,553,749,950,099,564,704,899,933,077,
077,804,064,462,529,712,059,417,656,570,660,644,250,401,514,176,480,719,868,
708,576,868,112,740,934,438,101,570,516,468,139,703,306,649,367,572,473,116,
033,043,468,717,211,021,061,168,777,448,745,404,791,021,121,284,254,023,997,
788,423,537,072,305,064,630,885,146,229,365,599,599,506,022,134,128,697,753,
653,356,952,632,094,884,895,209,066,235,084,295,893,106,187,454,821,608,325,
053,328,102,987,391,498,116,860,927,871,351,428,587,611,389,559,484,259,707,
414,802,148,419,780,629,021,489,139,079,411,697,909,558,010,745,917,155,801,
906,241,695,134,737,979,190,570,385,041,840,216,804,927,495,760,030,461,212,
906,095,301,116,223,484,267,813,543,205,405,760,915,980,477,135,927,467,412,
560,165,105,271,390,476,213,503,305,500,500,458,191,709,095,163,120,183,379,
997,342,326,183,800,019,749,042,886,550,652,316,193,631,096,892,718,126,295,
091,936,914,037,049,029,005,233,514,130,032,374,095,770,704,310,011,931,073,
595,733,883,339,745,328,492,881,412,281,662,283,063,604,213,355,937,243,171,
386,447,741,670,958,994,093,805,114,414,564,989,203,253,149,657,788,606,882,
025,799,555,307,721,139,679,463,086,877,502,746,822,059,282,777,550,989,592,
510,346,202,585,155,976,228,212,721,701,389,480,822,500,946,776,972,309,152,
351,495,954,442,407,986,076,618,054,850,580,625,957,171,222,736,791,825,802,
886,817,146,765,635,038,065,025,511,359,352,832,576,212,515,287,287,113,304,
639,720,488,212,837,564,665,791,613,733,752,813,654,604,935,279,627,388,378,
212,904,298,010,572,766,983,247,370,779,664,596,431,692,544,130,132,761,991,
482,294,769,147,358,022,309,852,318,655,984,531,839,205,831,629,059,523,003,
219,645,580,934,152,005,271,388,382,592,278,910,389,729,317,238,559,933,116,
673,140,007,010,450,366,906,790,171,470,087,890,138,790,102,808,897,090,540,
809,787,750,459,147,460,503,101,357,862,579,984,777,384,556,506,273,020,010,
755,164,486,749,082,471,111,030,952,298,327,343,110,181,010,249,942,138,151,
677,924,612,809,686,889,711,603,648,514,200,551,299,479,171,138,649,589,866,
382,931,406,772,943,142,388,310,331,512,248,490,093,945,288,783,212,720,614,
648,985,230,092,121,184,139,014,416,673,324,546,900,579,873,394,302,345,420,
241,074,356,218,779,201,146,712,412,940,472,375,833,427,856,429,886,882,596,
046,800,898,100,428,987,538,535,327,342,701,910,546,342,607,384,407,146,873,
264,486,076,323,590,665,584,762,630,472,697,721,676,750,206,027,407,622,035,
085,648,837,208,743,261,074,744,723,970,861,783,681,329,207,582,908,681,575,
494,692,180,696,719,097,587,895,459,653,313,271,015,467,331,057,193,249,052,
048,898,766,185,401,772,054,683,541,756,778,148,649,396,245,033,804,038,918,
540,248,879,521,085,702,335,160,407,866,798,844,343,914,337,040,331,538,648,
543,907,937,123,890,046,110,688,239,662,180,512,835,842,321,048,917,993,565,
165,227,961,117,071,474,826,731,280,095,919,148,466,957,424,506,315,556,741,
265,332,491,302,809,937,952,024,235,875,581,848,223,583,697,802,522,589,305,
467,679,914,357,426,537,470,458,202,134,626,723,651,904,579,690,826,451,779,
219,820,130,228,647,053,872,668,898,454,052,401,407,838,778,336,033,112,781,
949,027,578,226,934,941,409,908,286,119,816,209,721,478,355,834,539,059,318,
519,401,926,733,409,314,096,865,216,797,317,262,403,694,244,669,038,031,474,
049,986,005,327,245,617,316,578,048,454,314,352,848,724,484,868,431,967,253,
296,205,863,323,392,956,402,387,668,359,102,876,666,904,335,193,034,357,292,
366,063,496,367,532,645,261,931,340,794,115,772,843,447,191,079,707,649,502,
649,119,853,367,848,810,754,509,152,483,117,060,784,287,683,901,599,409,671,
071,476,657,320,258,755,194,157,153,447,855,216,260,543,126,425,173,066,314,
008,342,733,517,633,240,631,340,491,829,445,017,163,227,582,259,019,321,990,
272,455,986,517,483,616,267,858,922,894,021,103,313,452,311,652,770,409,670,
039,534,223,843,376,086,662,565,168,597,672,644,360,843,923,300,268,186,132,
708,421,119,985,924,940,992,878,403,461,068,572,564,335,780,273,862,151,978,
567,911,696,637,731,167,824,235,377,388,122,424,091,304,943,082,276,149,821,
051,940,585,439,816,872,903,746,612,210,856,030,431,582,797,092,803,385,612,
367,718,342,342,996,889,522,232,842,263,737,774,428,863,487,660,457,761,003,
856,586,793,969,928,278,377,997,355,851,191,283,863,906,020,322,923,443,660,
867,874,749,041,085,423,720,411,266,066,351,583,333,428,342,947,556,908,987,
011,348,809,692,278,363,138,003,933,790,036,502,059,293,361,501,978,203,797,
265,861,232,515,068,019,348,484,083,818,481,916,655,758,498,624,330,494,509,
206,632,093,880,428,408,231,628,705,577,109,350,507,696,749,056,073,067,668,
383,450,747,790,438,233,837,613,398,215,601,711,855,025,624,713,912,042,132,
064,610,777,902,593,380,677,098,856,051,610,208,615,970,659,381,882,384,329,
153,807,875,486,778,317,158,877,098,057,767,504,466,834,606,171,842,325,370,
597,204,084,058,597,717,289,133,377,100,716,972,445,995,306,184,948,913,554,
438,121,178,230,321,023,875,490,858,244,529,020,651,422,934,679,159,875,642,
132,593,220,761,448,114,282,734,051,841,929,216,907,483,877,820,310,983,704,
345,798,156,252,084,238,448,065,453,802,017,404,924,728,010,601,173,737,834,
639,214,330,870,050,920,990,770,578,914,000,167,319,947,769,841,244,029,808,
846,394,764,931,666,708,302,935,796,776,759,229,686,094,278,479,930,890,088,
453,469,350,123,844,999,617,902,671,783,957,669,227,993,684,602,956,979,573,
852,928,073,425,229,511,285,999,893,153,508,538,655,214,673,350,093,060,603,
399,452,703,645,380,155,575,126,114,925,013,010,558,609,982,966,862,766,969,
227,578,895,692,784,596,452,472,283,387,617,159,862,382,257,168,013,646,883,
295,451,844,788,249,136,716,385,997,819,572,554,106,020,449,779,362,137,329,
380,236,861,574,835,112,513,233,649,578,119,327,562,957,531,145,378,826,206,
831,104,048,658,624,515,744,036,221,229,047,850,645,570,280,112,833,981,972,
089,862,308,985,553,419,256,918,028,676,696,269,243,092,242,504,478,842,507,
317,870,803,393,537,672,483,720,507,227,400,387,289,893,808,227,540,544,080,
506,688,714,967,520,202,326,831,266,094,151,026,680,139,290,682,417,533,837,
242,666,604,934,260,777,149,688,070,951,074,737,775,073,435,476,029,670,991,
352,561,245,175,401,174,192,011,844,783,161,012,320,846,958,585,585,829,452,
072,081,211,854,680,557,433,140,378,590,675,113,505,724,574,814,470,926,210,
047,532,784,349,984,076,376,228,627,612,981,735,494,730,394,647,756,412,333,
402,881,707,774,396,439,261,459,806,611,119,927,429,920,357,933,660,114,439,
369,948,674,725,420,463,140,477,079,010,514,922,928,626,889,711,996,688,656,
249,804,691,868,668,087,074,634,693,326,811,098,305,882,782,810,461,981,307,
667,401,478,421,842,350,032,380,193,143,387,842,892,656,641,868,284,834,654,
826,428,297,622,074,917,297,140,928,269,454,555,107,867,500,259,666,568,561,
570,723,540,675,211,305,414,213,243,335,422,210,231,318,133,855,151,402,732,
625,206,814,559,262,937,792,548,980,181,187,841,731,064,829,288,736,079,610,
669,069,621,479,214,173,090,312,536,760,272,240,408,954,118,385,553,952,149,
425,659,343,164,111,247,076,559,870,211,549,341,519,204,708,100,430,420,061,
136,816,801,095,891,327,134,958,459,587,489,767,552,599,068,663,850,082,225,
767,974,305,677,890,466,782,620,121,041,840,033,453,762,603,576,317,168,564,
226,210,359,586,620,513,614,967,833,397,349,848,976,875,739,214,700,168,456,
922,775,878,117,650,057,904,213,767,342,693,260,945,837,462,516,662,302,040,
105,415,864,488,218,260,237,969,816,632,211,857,854,619,324,640,626,579,462,
401,193,212,880,882,951,620,599,281,222,766,300,239,190,503,389,787,022,897,
419,701,549,679,329,204,116,855,029,987,552,716,005,261,307,509,396,156,735,
636,279,078,206,067,844,913,796,371,204,772,393,285,259,570,969,781,024,027,
944,044,047,309,304,433,427,762,924,511,457,764,312,341,852,974,501,729,131,
546,833,886,381,272,635,312,525,125,994,604,199,489,936,010,279,457,788,616,
926,839,344,837,883,440,858,257,410,073,871,087,942,957,825,542,073,803,418,
394,098,154,929,463,538,206,886,252,960,203,131,266,329,361,553,100,855,801,
474,613,985,675,842,219,687,257,298,354,329,551,817,833,410,686,975,163,110,
542,427,078,213,362,763,603,624,091,168,737,148,524,171,876,174,222,430,807,
460,672,159,874,335,020,747,600,381,531,878,838,087,611,901,476,193,524,305,
127,778,748,609,080,423,462,465,732,763,297,827,225,181,508,382,724,509,227,
763,840,191,468,412,660,140,640,030,667,521,444,479,810,781,177,414,057,638,
569,259,792,081,613,091,813,406,337,546,344,121,698,923,971,119,131,870,466,
732,921,360,866,288,264,990,213,194,924,380,012,177,753,488,982,131,996,746,
935,449,872,259,085,149,311,753,939,760,191,999,298,326,201,559,794,501,475,
910,003,249,207,611,940,457,052,094,355,641,483,449,872,456,084,220,489,289,
737,853,324,957,762,071,907,682,992,532,931,853,259,773,996,858,713,235,491,
928,040,142,471,142,879,789,663,140,462,124,917,556,291,927,795,048,536,611,
347,599,394,636,040,541,565,446,213,833,516,780,220,668,309,789,536,659,886,
815,513,273,902,057,935,043,853,020,284,945,479,944,641,894,583,415,478,911,
968,403,117,600,689,347,552,639,518,331,594,728,398,364,145,314,156,289,018,
900,394,165,547,626,728,535,758,041,700,292,038,277,735,524,737,125,919,455,
486,371,396,753,937,996,398,919,699,681,379,508,691,280,539,980,619,264,709,
000,320,505,044,742,416,820,394,114,057,034,994,140,211,231,956,536,362,980,
177,996,904,809,526,645,539,186,367,305,262,693,120,346,868,784,472,903,108,
869,610,307,237,843,272,961,892,491,751,843,983,201,013,587,999,550,808,458,
749,844,936,260,458,560,833,220,066,084,465,169,728,899,963,201,032,538,441,
819,858,074,727,219,764,418,738,436,528,890,718,883,212,082,895,652,523,815,
787,069,902,195,427,502,137,147,036,379,630,624,828,330,732,648,228,062,806,
783,642,310,705,826,706,527,350,677,957,693,702,715,151,915,967,938,758,334,
681,660,202,253,845,723,503,634,019,171,218,891,729,803,663,812,228,547,114,
646,669,644,302,018,173,659,258,585,473,420,523,505,569,933,179,202,809,175,
974,291,896,596,519,225,522,117,934,001,896,445,285,931,402,752,307,319,411,
243,305,449,178,037,524,353,783,122,541,795,561,836,831,056,559,506,715,131,
529,670,344,764,840,104,543,851,826,219,879,237,621,160,253,219,843,152,491,
635,501,908,419,208,661,735,795,993,174,255,169,464,281,843,709,477,838,099,
085,179,617,463,348,598,346,388,237,405,539,305,891,738,590,551,183,679,261,
831,618,594,704,982,142,799,827,176,689,045,398,949,580,869,039,685,314,363,
956,328,584,920,639,676,149,117,212,428,142,542,969,107,117,567,793,460,166,
320,287,099,240,612,148,720,480,954,634,934,567,057,695,085,265,768,853,857,
765,079,130,736,430,920,361,303,674,800,056,084,143,612,677,552,181,966,768,
493,403,772,334,180,194,410,410,099,158,575,464,744,482,871,009,820,495,754,
403,761,546,400,905,242,476,432,265,330,267,217,908,964,206,446,328,204,266,
493,625,200,256,670,284,721,658,833,403,098,929,077,297,775,897,270,798,556,
451,192,025,235,835,021,869,250,136,068,672,887,517,494,684,151,117,007,791,
784,832,677,246,654,925,295,013,210,564,186,735,055,073,257,425,749,586,829,
454,248,752,256,663,889,845,786,357,447,163,099,804,469,939,408,348,534,256,
699,995,927,884,837,693,470,892,425,300,868,641,923,344,241,721,210,084,825,
290,067,899,531,103,020,450,361,190,895,482,065,677,969,114,486,715,787,126,
454,929,259,816,167,640,593,425,356,924,405,519,718,860,969,174,749,879,106,
655,182,525,265,755,565,359,492,045,983,534,376,855,362,426,709,232,503,097,
824,634,320,946,047,625,990,838,415,863,576,331,025,453,952,427,736,424,812,
393,826,372,115,544,810,739,903,756,330,714,105,808,062,200,357,002,438,809,
362,692,391,651,749,840,991,312,106,445,038,859,247,295,227,290,115,769,016,
730,193,932,249,271,911,176,047,599,384,230,765,395,637,467,290,612,899,718,
351,652,989,178,405,850,018,397,845,817,371,089,874,631,123,359,622,390,139,
020,426,377,866,379,956,425,229,400,291,559,836,213,386,145,582,277,967,615,
526,507,375,547,432,168,428,467,004,060,696,412,840,442,018,949,219,608,910,
050,075,190,216,677,287,702,966,226,328,066,719,607,966,247,130,057,102,069,
295,077,081,339,887,238,552,276,016,338,706,448,653,898,877,754,489,444,235,
713,910,730,310,289,305,412,038,781,527,872,156,332,585,555,674,709,585,366,
997,655,970,578,055,005,971,587,406,010,725,030,066,494,914,483,622,678,815,
248,732,771,852,411,396,510,690,310,621,191,638,778,107,450,575,536,872,783,
056,015,931,132,383,313,048,737,675,939,522,263,289,741,063,909,325,772,008,
520,937,580,460,649,204,604,434,338,960,599,329,819,418,965,020,940,847,382,
018,261,306,929,233,414,998,177,746,517,081,493,672,268,248,320,024,994,150,
426,336,225,537,465,928,270,922,044,218,562,364,748,803,086,063,035,873,737,
263,243,800,072,901,111,852,790,259,248,223,438,606,561,283,284,137,353,968,
985,340,138,637,566,749,224,623,541,343,353,305,900,894,594,820,207,643,394,
784,538,810,550,122,299,686,402,400,364,631,228,184,699,744,937,737,679,163,
860,347,944,744,793,362,111,291,006,634,377,151,166,268,417,562,600,964,160,
984,151,853,807,794,037,728,430,616,269,241,218,634,752,189,219,502,593,104,
683,607,710,595,423,475,968,017,495,093,433,755,897,233,850,648,955,678,725,
330,782,798,773,266,465,590,797,928,835,627,793,879,070,958,897,904,179,172,
500,125,899,870,605,909,171,396,194,310,812,902,166,177,611,347,092,643,551,
484,186,930,898,202,209,966,789,959,001,530,934,849,365,393,218,277,867,905,
518,143,824,986,331,404,260,851,885,000,997,981,019,973,837,915,800,844,230,
541,155,428,100,127,246,371,640,902,360,880,138,100,548,394,943,967,650,619,
851,277,154,542,562,281,814,544,294,093,985,387,723,402,772,066,248,308,689,
359,904,833,343,237,927,534,014,465,667,773,555,200,543,283,310,949,233,994,
525,368,793,204,283,767,506,923,795,949,315,624,033,864,879,139,415,696,564,
949,851,206,972,190,891,502,488,642,307,460,349,535,881,953,887,156,993,729,
968,215,469,588,009,026,716,767,029,471,508,643,069,423,031,025,643,282,254,
915,718,798,424,742,097,170,578,343,695,403,489,024,874,036,813,834,226,300,
981,115,953,736,498,275,908,095,804,017,760,723,863,363,988,580,071,314,878,
712,546,402,403,927,608,799,910,600,366,435,225,394,627,470,045,212,780,308,
723,188,605,983,594,799,668,566,719,338,906,981,670,417,109,413,138,662,198,
696,703,069,097,131,066,340,874,184,657,191,564,291,893,522,537,975,720,674,
686,162,022,486,659,915,701,237,773,258,842,451,510,629,583,192,367,639,559,
815,809,222,675,819,534,476,247,985,965,455,499,576,017,839,590,129,505,265,
667,324,411,940,951,302,217,977,080,147,725,759,401,241,462,300,833,006,278,
449,684,454,329,863,623,893,156,728,019,732,719,857,298,579,910,454,381,588,
677,600,384,775,063,660,052,030,406,233,217,240,655,465,569,629,753,432,322,
293,907,404,989,535,321,356,894,490,742,495,441,490,630,368,155,943,231,342,
642,640,968,145,948,672,499,929,240,042,140,335,887,345,125,678,822,120,762,
470,554,697,036,916,190,824,641,240,941,139,847,194,938,100,648,963,820,983,
964,869,748,495,876,834,488,193,696,369,223,469,637,060,892,649,299,105,375,
048,242,515,058,249,951,341,277,559,908,581,619,218,755,433,608,392,982,907,
014,826,500,340,840,724,295,761,184,771,312,713,126,240,198,705,241,733,495,
886,064,169,265,892,691,250,474,706,196,250,601,779,274,805,017,046,602,104,
862,301,025,206,075,698,103,892,555,788,710,631,066,311,116,895,857,784,336,
624,994,717,710,365,833,340,375,708,667,525,266,309,192,852,039,608,250,729,
539,519,016,628,228,867,088,286,970,392,207,289,709,307,060,902,919,227,565,
829,754,214,592,203,912,392,190,521,480,305,968,454,287,748,767,873,010,122,
796,556,782,115,080,092,431,925,686,346,971,006,973,661,855,707,592,999,957,
690,967,881,347,480,447,021,707,603,579,770,494,199,120,532,624,797,640,470,
944,875,131,259,204,442,101,370,950,357,233,524,095,711,537,450,640,479,857,
237,114,567,214,738,397,671,292,402,798,419,205,077,089,477,089,648,170,540,
659,873,682,432,979,380,781,463,628,827,692,679,254,609,803,920,836,641,265,
210,422,304,158,096,124,731,872,050,815,928,526,147,280,011,114,346,212,834,
531,342,027,614,214,281,761,714,869,583,531,729,192,358,582,964,226,330,453,
023,209,099,338,280,019,872,655,868,589,747,581,981,359,206,076,170,828,050,
521,047,517,152,602,981,868,291,784,915,339,558,711,212,557,328,296,306,993,
815,042,504,050,493,585,736,910,681,323,510,218,186,552,911,397,557,041,159,
398,849,479,074,600,640,791,645,664,805,726,861,657,072,407,957,615,290,876,
405,098,594,243,445,723,618,563,386,394,426,552,200,346,958,687,257,883,819,
558,287,069,492,637,707,842,231,730,976,740,106,652,066,266,486,344,584,071,
549,570,691,821,004,049,926,369,175,416,541,639,246,801,323,692,900,055,319,
599,930,430,471,138,993,584,714,148,181,689,380,574,803,216,015,920,734,128,
179,605,173,652,312,110,447,316,935,382,567,881,462,282,442,994,998,044,399,
009,562,224,473,783,307,874,440,950,352,701,037,205,010,784,227,725,433,305,
385,211,940,650,222,247,357,525,026,930,826,975,032,452,900,504,955,484,847,
498,592,597,542,937,561,929,584,698,971,189,093,583,551,657,263,093,504,314,
407,456,167,394,806,281,072,157,289,392,387,683,997,970,232,256,435,233,944,
420,650,565,115,370,259,153,795,003,024,150,629,656,532,613,911,287,404,773,
073,224,916,356,316,919,479,568,183,628,130,582,666,751,739,025,670,172,702,
331,860,821,646,871,756,204,424,893,694,111,209,871,623,760,795,533,099,848,
203,610,648,851,912,234,327,144,816,721,795,991,989,551,935,129,714,254,078,
838,810,657,306,628,341,807,172,392,980,912,566,465,644,556,845,781,739,583,
494,759,809,915,235,078,077,234,352,635,131,152,102,507,423,266,398,175,864,
007,850,215,253,646,819,293,743,943,884,169,557,617,618,487,082,514,060,331,
603,699,458,741,549,245,603,637,761,949,491,952,636,404,135,208,739,716,624,
071,582,425,951,517,270,212,757,934,424,219,254,396,854,504,009,772,349,629,
209,474,572,819,968,862,317,648,544,094,501,350,859,148,612,471,984,518,907,
387,561,513,486,551,159,196,635,840,955,685,735,963,821,613,647,324,312,150,
743,079,645,513,626,463,885,251,799,003,764,400,589,256,568,592,492,426,354,
948,336,610,638,351,542,934,502,136,693,340,194,624,307,046,527,294,898,204,
007,668,667,224,046,670,707,231,000,921,921,893,196,382,283,016,865,005,080,
896,300,269,981,352,126,285,882,842,159,288,710,797,647,671,733,091,295,254,
692,000,447,003,108,956,430,286,064,925,467,535,361,987,650,468,275,268,011,
103,214,836,036,296,426,300,959,488,309,979,007,560,999,598,303,654,413,482,
338,447,253,560,653,178,509,000,539,461,827,635,834,448,665,186,806,647,372,
909,853,030,972,175,551,535,049,147,680,909,197,591,942,909,423,480,343,287,
470,097,845,732,021,140,541,700,986,477,124,991,565,804,613,358,398,562,104,
796,710,316,999,325,464,150,932,277,989,494,723,889,812,569,716,661,887,532,
120,022,786,655,747,407,857,833,888,518,109,943,288,516,575,105,675,808,192,
193,500,554,940,106,634,354,960,157,191,904,557,618,361,358,817,321,797,212,
311,312,371,621,959,415,976,253,134,131,542,879,382,693,269,843,520,402,194,
066,389,711,061,209,149,514,556,312,872,086,369,888,594,875,905,227,351,002,
347,529,521,027,057,265,876,824,763,829,703,131,088,884,825,855,260,473,522,
871,397,682,094,836,193,972,396,322,653,718,772,157,735,581,049,608,926,776,
920,618,293,804,251,468,106,255,875,089,523,819,335,906,553,081,077,492,300,
183,897,194,954,509,158,223,026,318,740,513,210,452,169,949,493,495,868,124,
898,289,964,001,105,879,341,964,057,693,682,935,291,422,701,785,899,652,235,
095,144,556,486,202,422,700,062,256,766,126,137,676,084,225,022,937,930,213,
089,841,682,381,997,533,125,120,260,561,824,505,084,099,060,095,208,762,773,
403,522,456,734,283,769,717,049,695,370,946,022,055,607,343,066,333,450,847,
414,606,316,148,710,492,487,362,336,285,850,311,258,998,799,611,145,255,480,
737,643,582,175,388,543,405,495,870,316,203,705,237,937,612,175,169,555,128,
196,932,017,854,632,913,928,536,260,680,742,494,404,991,954,371,319,928,823,
886,218,806,769,510,569,494,191,945,414,266,556,476,895,202,837,135,447,087,
685,533,678,086,518,226,242,069,269,016,087,475,199,161,216,581,604,633,860,
633,603,165,680,701,105,181,814,552,117,035,507,778,513,680,682,186,389,367,
566,302,397,396,971,368,304,500,925,332,234,107,104,766,418,779,182,977,046,
824,666,309,699,518,434,567,334,875,736,835,280,717,872,786,819,766,759,275,
442,266,812,038,346,907,250,549,524,244,987,712,260,464,080,506,442,174,771,
782,778,853,935,303,232,382,608,865,966,481,225,023,983,576,671,560,839,809,
251,890,513,065,641,054,749,430,680,911,531,317,347,222,868,212,120,441,205,
218,613,618,948,413,298,851,674,051,503,453,511,892,671,734,723,812,136,755,
571,298,677,488,232,905,489,863,089,815,887,989,352,679,579,759,203,719,313,
292,406,857,710,744,497,036,145,293,504,744,944,360,862,863,974,743,472,641,
521,888,417,232,351,331,756,098,556,332,831,891,409,731,274,153,928,757,919,
285,985,141,862,995,040,661,332,096,864,780,817,784,224,653,360,159,499,569,
222,986,494,986,167,129,850,226,855,296,485,253,449,621,249,224,467,132,682,
350,033,901,189,436,629,906,457,374,429,753,884,400,197,904,979,817,218,345,
904,765,234,081,056,300,611,070,343,374,250,972,014,497,765,540,946,078,499,
684,497,447,564,215,033,155,646,695,830,545,569,518,143,948,522,150,315,694,
165,892,597,449,647,986,031,476,750,213,407,298,755,199,910,867,951,490,828,
474,323,265,385,915,142,416,028,133,785,817,014,027,734,603,855,136,429,225,
780,417,101,066,040,297,403,935,310,879,047,337,325,689,003,553,797,046,255,
572,575,627,717,685,830,248,609,313,633,234,118,923,308,921,269,615,850,110,
278,195,543,462,983,355,450,166,185,175,110,838,535,623,045,691,386,893,533,
060,956,006,614,074,781,583,174,771,699,471,129,866,724,225,076,373,896,034,
979,608,214,839,988,569,828,353,592,317,900,813,532,077,542,105,288,345,771,
508,108,430,276,263,370,094,314,370,480,282,317,508,499,881,883,734,412,412,
878,973,487,965,170,792,464,429,237,669,009,613,680,295,049,489,082,746,100,
079,891,989,918,473,279,677,425,104,868,802,151,571,392,617,036,324,031,523,
555,563,927,047,436,798,098,003,947,465,701,248,634,859,135,013,509,543,273,
558,207,702,610,038,346,458,118,027,573,735,613,679,920,927,700,662,300,350,
457,056,240,024,536,387,512,048,503,218,740,962,707,139,554,708,970,796,679,
198,642,883,417,965,709,068,368,289,311,639,993,383,277,318,754,853,222,699,
724,245,494,983,371,300,467,609,518,350,084,304,829,026,994,427,087,386,175,
134,066,393,297,245,982,008,084,872,998,499,191,329,633,358,307,241,274,625,
428,095,280,712,718,721,464,230,002,827,101,434,029,625,861,723,376,127,813,
928,296,076,768,998,291,251,929,600,742,597,506,469,357,958,005,973,072,397,
640,449,553,546,572,388,808,676,027,207,190,397,624,212,023,299,556,930,101,
619,887,709,022,566,058,063,726,709,997,643,179,324,930,108,987,281,276,836,
666,505,461,044,139,024,364,379,471,793,894,582,874,270,208,554,443,167,927,
331,363,056,618,979,268,846,563,278,366,141,624,952,957,078,326,009,540,033,
523,676,169,567,793,759,207,646,655,776,938,918,731,313,586,355,971,412,887,
510,120,641,154,810,912,175,380,618,227,745,856,158,169,135,727,582,513,290,
416,910,868,486,194,687,278,005,915,012,482,679,779,933,641,327,752,665,468,
186,955,956,991,378,454,372,745,452,135,142,534,610,399,120,367,540,001,705,
617,270,810,101,650,650,470,570,640,476,171,953,868,710,379,090,152,702,783,
438,491,793,303,431,599,171,192,721,887,546,177,336,786,863,667,893,189,143,
527,853,237,004,546,248,951,591,350,226,139,101,373,866,202,489,857,365,345,
608,328,987,755,100,438,474,959,308,725,435,933,030,797,819,130,521,926,734,
521,461,981,901,787,206,443,254,772,849,402,875,502,334,058,804,022,372,432,
103,438,074,580,773,186,902,594,603,308,952,553,594,094,897,891,605,931,025,
054,967,024,728,063,386,345,356,485,769,873,259,500,456,619,967,916,662,200,
337,873,928,797,538,394,062,204,605,591,598,509,005,291,935,372,318,435,703,
607,788,625,009,310,624,679,523,258,342,523,793,595,175,299,636,863,358,900,
636,204,355,743,116,700,369,370,376,396,508,205,069,394,753,623,129,880,283,
425,461,168,310,708,315,329,455,951,002,505,149,101,692,121,704,531,424,528,
880,723,743,043,682,456,730,828,915,114,639,798,443,204,864,271,584,094,782,
662,779,146,717,368,693,652,795,678,473,102,837,963,240,581,629,083,831,865,
061,967,402,749,390,803,901,400,996,744,747,924,890,992,871,348,559,913,366,
581,651,345,258,494,243,681,181,975,720,784,416,217,209,215,346,281,018,327,
038,560,306,215,833,010,711,167,571,570,468,380,765,091,464,503,323,894,310,
420,674,069,508,900,197,107,705,293,037,318,833,544,074,846,158,324,050,658,
945,341,907,956,695,335,904,537,731,929,491,123,107,960,544,300,514,836,086,
190,985,471,580,983,323,446,505,616,391,481,126,905,797,236,447,991,161,849,
423,019,074,139,626,434,970,464,499,378,104,763,339,735,380,952,170,018,666,
810,480,369,868,554,405,809,282,285,033,146,899,132,429,410,763,973,307,022,
704,184,737,571,628,464,974,809,428,592,869,760,685,667,691,668,003,657,646,
601,911,000,858,353,105,082,264,106,369,704,643,498,971,642,812,185,623,845,
809,028,638,079,509,769,779,398,451,408,906,044,757,176,824,657,607,800,719,
075,990,210,169,059,161,938,477,952,483,421,063,264,672,384,281,533,295,053,
508,379,974,581,193,416,139,906,196,426,000,759,391,760,512,033,835,247,700,
088,253,579,863,270,415,182,481,347,117,567,871,241,165,070,436,454,054,666,
342,580,004,356,100,359,526,908,388,948,313,055,090,957,269,826,091,736,543,
995,721,168,320,001,497,142,262,785,088,106,579,013,492,062,154,951,996,337,
512,177,869,873,838,133,695,586,258,885,352,594,725,062,975,495,307,635,818,
322,524,297,392,689,155,889,486,964,196,517,416,819,609,560,449,481,401,684,
533,753,079,235,184,894,586,129,093,237,372,065,247,890,996,763,888,776,446,
948,792,237,269,802,193,974,923,916,414,992,997,407,160,068,742,879,267,255,
652,632,684,304,678,129,571,743,858,152,254,695,846,249,539,098,466,708,887,
373,566,351,623,460,860,964,055,698,178,427,581,930,806,955,873,038,928,935,
087,141,861,985,366,627,310,173,459,102,071,150,997,376,786,511,924,465,271,
669,641,509,410,061,808,416,050,097,438,859,456,116,018,267,632,477,809,093,
315,332,653,004,332,030,738,686,024,407,390,906,501,811,552,043,914,485,748,
723,108,739,827,190,652,067,262,009,585,126,287,480,493,431,551,049,708,994,
061,119,793,976,363,004,352,894,072,658,325,212,810,403,142,575,720,140,999,
441,528,916,681,383,865,848,954,510,410,145,899,845,639,397,318,273,910,798,
086,570,281,011,447,504,850,106,794,374,371,556,421,930,086,286,918,659,095,
524,672,157,817,598,463,894,940,784,993,393,115,554,652,696,822,902,875,269,
127,844,619,703,529,019,796,193,546,645,590,075,941,475,319,892,903,006,158,
095,523,669,508,303,194,629,756,529,294,120,894,612,355,182,294,313,039,119,
946,902,111,383,110,101,441,784,489,284,000,817,024,269,147,981,227,275,443,
585,512,132,698,018,230,227,956,457,323,295,535,891,443,796,999,676,701,991,
564,805,768,137,214,477,715,447,903,769,470,494,441,094,278,035,665,737,806,
296,954,623,226,384,603,635,193,877,840,052,581,114,749,920,581,563,511,369,
854,964,209,816,944,639,308,201,834,180,615,505,780,609,723,456,912,302,848,
481,662,302,852,675,818,227,541,968,898,022,878,996,959,200,324,140,226,494,
401,730,192,248,901,996,189,574,542,999,276,914,659,270,808,388,864,606,927,
316,406,028,612,514,060,661,433,943,612,765,801,755,744,139,913,161,160,836,
272,473,174,331,461,099,514,357,110,962,809,849,758,113,655,614,643,771,087,
512,498,243,901,469,468,301,766,622,613,513,305,952,678,736,633,032,313,242,
609,432,807,137,300,488,352,611,579,045,054,491,959,206,522,055,745,946,947,
672,748,030,136,909,530,545,218,189,414,031,948,717,647,688,269,559,254,925,
649,994,661,401,116,895,100,446,956,265,628,780,740,558,540,621,325,462,174,
101,358,270,887,514,637,080,419,796,440,359,106,174,169,571,654,218,273,297,
363,360,058,306,790,754,503,329,359,158,286,613,834,558,884,509,842,301,830,
922,446,793,584,753,105,421,951,707,858,002,199,256,773,771,775,220,839,214,
058,378,314,321,651,811,851,169,821,035,370,036,561,875,793,564,038,394,896,
156,245,501,336,878,580,383,728,567,400,125,187,585,643,317,237,365,060,558,
667,546,592,193,648,599,185,998,970,691,079,043,606,883,074,958,722,416,205,
469,909,403,506,829,542,401,708,932,848,302,195,328,444,586,832,825,019,266,
296,511,308,736,284,224,341,400,479,585,187,147,298,218,013,814,497,801,577,
625,968,401,733,560,076,872,224,091,399,558,018,527,796,538,365,117,841,037,
712,149,983,132,645,720,882,465,298,588,201,833,965,355,136,199,802,475,264,
826,642,960,089,848,920,614,423,817,796,546,980,888,373,808,677,945,107,549,
682,217,364,745,403,071,437,427,696,399,291,754,698,020,706,010,669,859,794,
060,172,257,994,074,823,468,850,508,829,679,606,983,348,449,330,883,100,624,
648,747,489,149,212,893,660,461,150,066,342,597,100,626,203,442,477,220,651,
264,087,454,015,504,772,802,282,983,537,987,677,958,588,625,234,796,359,406,
602,532,990,619,830,605,468,406,401,719,153,268,479,405,827,591,119,530,584,
116,759,657,522,520,447,930,556,525,933,750,172,380,242,653,205,260,844,671,
870,258,927,900,666,662,847,582,831,942,896,860,171,968,941,663,417,696,588,
899,960,084,167,467,770,198,252,648,691,980,796,331,671,584,265,536,159,713,
082,901,037,497,482,420,357,103,614,528,893,789,090,372,273,898,090,719,527,
562,298,833,479,559,387,501,214,484,139,560,377,582,905,305,071,078,315,199,
868,788,825,179,100,364,959,943,658,623,983,121,346,875,890,983,179,062,440,
404,866,716,720,270,667,662,555,714,180,829,624,042,125,747,203,929,091,753,
431,942,409,315,548,006,413,121,995,147,745,521,575,076,354,548,335,351,177,
328,999,712,376,998,788,174,963,293,169,716,211,109,471,307,446,861,018,332,
284,077,440,656,727,611,676,772,887,774,557,429,493,876,804,269,868,781,023,
659,581,182,126,440,490,631,880,791,517,191,541,151,161,232,085,337,618,754,
794,682,172,238,001,180,522,974,998,290,369,560,320,244,102,104,089,538,623,
796,935,942,033,841,938,913,760,486,845,624,523,166,849,653,892,550,118,692,
646,817,241,527,282,502,235,921,948,792,752,278,182,640,261,680,163,157,210,
434,064,707,635,082,975,908,721,538,487,973,621,211,979,935,756,635,075,762,
235,616,336,417,624,677,737,031,061,454,305,661,570,381,898,377,465,581,633,
435,880,912,333,066,091,998,578,069,350,103,157,905,034,766,449,292,664,158,
424,688,871,914,419,919,794,770,097,220,145,606,950,696,159,917,391,294,595,
169,900,320,468,897,030,252,976,447,735,516,475,635,929,969,594,111,141,089,
637,487,371,769,213,628,456,085,659,927,724,544,299,590,305,318,858,032,990,
912,479,589,654,858,258,563,699,567,031,403,267,585,598,350,778,553,340,552,
591,073,731,620,731,028,263,856,376,872,149,687,189,615,143,965,280,479,306,
197,372,423,710,869,458,834,739,824,165,082,540,347,398,893,179,979,885,976,
878,740,706,170,288,061,142,989,454,091,958,436,768,231,962,332,461,310,561,
302,065,920,063,661,222,453,826,691,809,996,780,429,595,984,752,959,920,601,
338,626,547,987,879,891,383,911,437,519,304,090,305,073,605,798,362,865,967,
666,989,923,472,133,888,955,555,736,201,765,315,700,163,642,470,903,757,897,
561,041,629,438,333,911,560,484,618,684,628,382,241,952,792,917,108,792,768,
925,505,887,529,208,169,750,301,068,748,311,993,108,642,863,621,213,136,158,
787,922,306,246,184,698,786,237,756,481,471,020,637,504,644,342,954,317,413,
728,565,844,206,714,557,328,015,706,619,451,488,924,739,473,514,665,687,998,
779,490,859,765,153,360,223,430,258,348,452,519,283,889,409,045,912,915,435,
446,082,466,876,286,979,681,667,950,708,238,652,563,179,114,815,546,528,535,
924,765,716,072,016,302,374,903,291,649,564,637,676,198,254,666,585,403,132,
382,444,429,691,074,482,834,581,082,939,702,087,367,165,047,198,980,311,405,
531,106,136,026,087,620,710,116,356,591,166,188,736,034,345,360,745,669,731,
690,068,068,040,047,868,459,664,950,321,587,948,416,197,439,186,831,195,533,
557,997,381,405,445,051,461,384,085,620,720,376,989,859,362,196,351,553,547,
342,748,927,094,268,377,758,463,660,484,376,561,845,809,543,096,808,492,106,
993,766,930,021,818,698,333,588,780,439,811,315,454,139,720,711,922,296,488,
274,710,275,818,920,832,293,115,696,359,470,155,946,434,749,928,662,479,563,
860,048,142,749,504,197,608,660,993,329,324,587,731,887,782,804,365,168,309,
367,651,763,543,313,777,837,488,226,367,291,809,006,304,726,705,339,363,502,
995,436,661,543,504,411,153,006,500,956,407,315,354,069,627,662,041,572,461,
300,058,886,800,054,855,401,927,557,964,412,898,797,829,970,256,582,434,038,
361,280,412,091,059,229,814,903,279,677,975,877,507,930,507,135,794,718,126,
526,090,162,437,843,321,718,959,056,332,828,786,440,831,855,918,524,662,987,
280,204,706,192,400,771,305,860,035,339,272,459,883,753,113,272,351,345,414,
981,727,226,481,072,576,236,606,873,190,118,638,818,778,259,897,551,111,703,
972,196,374,516,210,241,127,280,117,313,389,551,582,228,193,861,765,245,774,
325,563,578,782,635,520,762,013,649,975,788,256,299,751,708,698,339,825,400,
088,388,413,621,800,323,443,653,015,718,081,239,234,443,940,114,665,307,868,
446,429,551,131,496,036,949,479,418,555,120,384,094,196,995,181,541,279,648,
307,355,960,218,071,933,119,978,921,911,190,383,489,785,538,995,422,029,823,
521,230,343,501,834,998,445,885,817,996,142,454,677,963,476,997,135,294,560,
638,688,390,527,812,420,133,588,113,893,422,704,413,905,490,769,511,231,734,
321,017,538,269,742,895,611,231,321,640,064,067,541,745,114,730,677,105,694,
871,935,137,083,782,680,698,398,374,880,285,383,481,249,933,327,159,939,128,
848,642,911,514,200,263,318,000,862,820,517,682,351,033,492,382,512,842,382,
688,912,099,070,769,767,948,006,251,250,971,502,803,158,849,330,493,728,754,
666,942,512,116,020,855,150,826,604,747,238,402,563,116,117,585,438,650,075,
859,867,388,666,758,305,193,257,642,979,869,774,005,591,455,151,412,251,310,
546,690,019,084,753,271,771,424,396,477,608,351,745,107,273,882,614,928,553,
809,217,958,843,674,533,541,762,194,940,618,806,649,247,083,542,748,766,195,
852,728,797,510,408,523,509,042,109,054,440,329,285,605,193,843,960,582,487,
051,451,657,893,701,824,694,377,955,088,510,691,849,987,802,260,733,704,697,
888,592,945,642,973,590,543,655,669,029,276,557,577,661,799,888,796,530,253,
387,340,419,559,069,463,733,560,756,796,547,719,522,686,876,275,827,389,478,
169,552,286,909,590,380,385,929,916,622,939,959,894,722,291,844,340,321,269,
274,301,705,823,915,275,098,677,829,023,534,296,881,655,448,333,906,559,148,
692,870,309,171,160,889,040,001,664,362,238,958,399,833,274,062,885,743,655,
391,832,670,585,158,849,613,561,359,609,930,370,551,985,844,896,779,841,428,
013,559,098,140,404,246,672,684,802,561,851,279,927,463,044,291,110,946,622,
520,497,701,593,964,217,811,703,112,030,133,563,935,773,665,519,604,312,893,
066,317,478,838,135,899,475,448,439,140,358,513,023,251,430,398,373,809,145,
024,266,980,526,662,791,538,334,069,128,237,531,117,598,731,279,906,101,257,
207,417,819,739,883,514,340,760,554,422,968,220,102,913,306,516,629,380,910,
009,012,304,884,329,650,031,588,234,842,387,094,899,891,052,202,155,791,232,
137,858,182,094,949,181,335,958,477,379,617,190,550,007,794,071,502,876,400,
961,866,633,803,409,032,096,909,218,319,647,578,339,748,073,558,170,685,933,
101,465,723,467,497,916,322,860,069,140,905,589,727,370,236,466,071,693,689,
538,781,990,189,452,543,882,598,840,246,008,186,155,860,635,983,701,022,306,
329,597,929,184,629,135,431,835,341,704,641,170,088,194,565,872,691,558,309,
255,162,715,589,648,672,752,991,220,436,656,613,421,461,109,731,722,192,391,
290,926,333,075,360,040,991,783,972,987,177,028,041,335,486,636,644,366,710,
811,773,475,962,886,080,753,600,935,099,543,701,004,903,861,584,886,774,401,
968,448,407,364,947,173,390,276,850,959,544,104,426,021,938,134,619,892,720,
358,769,874,619,193,221,269,164,265,846,205,597,676,320,222,730,051,728,073,
483,287,084,498,122,752,768,478,749,179,235,821,183,438,005,518,325,191,980,
537,962,777,054,075,848,540,990,837,003,057,660,007,611,844,168,345,364,985,
110,915,710,538,473,429,107,811,318,908,600,956,749,850,351,742,483,671,794,
368,186,511,191,262,768,407,422,560,529,471,440,982,636,303,046,187,593,314,
165,207,450,356,927,914,562,277,269,090,388,435,316,995,114,021,429,186,631,
704,522,648,528,832,263,873,909,239,593,812,770,773,842,550,970,109,428,442,
274,126,034,388,018,320,349,190,487,137,175,441,306,558,743,261,346,226,407,
915,518,695,197,637,851,114,009,007,136,207,859,841,589,067,709,958,885,568,
190,086,079,192,434,334,514,515,129,040,919,981,126,372,697,293,502,739,923,
975,988,934,243,921,308,342,197,451,599,496,762,451,509,081,578,360,364,944,
917,296,534,348,618,631,831,672,061,056,030,680,874,548,525,457,131,534,676,
722,548,937,241,739,430,188,264,554,556,059,550,697,501,046,082,910,770,087,
257,196,595,713,507,206,649,777,803,709,480,164,724,386,494,925,645,864,314,
963,362,494,881,543,023,727,089,001,737,415,459,213,121,785,363,412,087,014,
219,185,770,142,792,179,495,150,884,698,795,951,801,490,951,310,785,941,071,
737,588,608,915,610,935,896,504,517,008,925,918,414,151,460,865,383,603,428,
192,382,843,357,295,878,919,993,517,278,263,300,626,659,471,453,101,236,817,
423,145,966,395,399,896,058,586,087,193,348,218,163,330,622,068,688,499,851,
674,853,252,286,207,651,884,575,173,981,224,373,964,024,121,079,655,834,551,
343,494,882,452,314,337,966,744,526,005,029,853,230,984,523,237,454,520,646,
255,450,691,887,244,624,607,267,903,907,339,078,317,336,424,686,536,541,850,
328,719,071,998,246,368,353,541,405,389,059,947,437,383,423,789,329,461,039,
406,732,560,173,612,781,527,578,874,242,693,268,593,534,538,834,539,395,723,
484,347,115,900,210,985,348,293,437,633,067,052,125,632,383,720,272,786,896,
906,154,431,483,280,175,106,724,728,801,755,346,867,900,873,237,007,608,386,
113,967,633,147,832,342,126,715,408,556,492,628,545,799,028,619,646,714,927,
178,232,120,192,279,888,703,776,656,187,527,723,849,280,805,319,104,590,475,
299,934,989,339,343,609,618,830,637,798,237,438,552,862,390,400,205,190,017,
974,695,911,891,860,178,655,030,272,025,242,639,643,055,107,132,866,047,905,
349,514,152,928,492,618,614,299,652,414,924,555,003,098,796,102,232,071,987,
889,539,665,952,797,851,315,609,889,930,912,192,132,247,463,434,205,725,856,
485,538,318,578,782,127,793,055,551,721,086,803,006,555,154,891,835,664,145,
228,543,240,479,672,794,802,364,878,816,491,896,591,046,588,289,141,636,661,
572,589,757,013,699,314,308,838,448,924,565,828,933,014,053,894,417,368,843,
371,326,385,868,850,655,672,969,920,439,148,279,215,405,870,601,466,545,414,
232,458,022,116,965,451,534,597,981,037,311,213,632,011,887,770,781,534,008,
473,444,992,929,618,606,292,743,589,100,309,798,105,280,098,140,686,147,382,
973,344,347,802,198,735,026,692,007,916,516,378,462,284,851,103,271,838,820,
864,091,029,204,480,196,870,606,858,191,202,661,651,263,370,025,208,011,452,
704,042,843,339,069,858,402,863,892,238,652,916,562,818,626,416,873,631,135,
142,288,453,456,949,531,801,512,164,399,856,706,653,172,927,672,697,703,448,
583,139,527,533,172,959,027,842,022,888,689,617,904,864,687,104,578,233,810,
889,811,324,430,621,804,535,560,909,783,620,096,334,136,754,422,995,662,670,
261,366,920,622,621,728,602,830,434,716,577,165,750,739,087,902,105,722,005,
696,090,183,729,700,601,601,880,463,849,704,940,472,802,861,269,360,143,465,
148,971,338,776,330,246,585,012,308,435,084,695,672,080,102,798,363,321,564,
805,661,356,643,358,935,141,747,460,918,641,578,833,096,688,082,161,201,336,
531,587,055,113,109,771,161,155,007,742,803,399,375,087,288,458,932,227,885,
630,208,436,751,741,059,672,037,027,907,761,219,445,238,099,564,853,883,426,
359,581,525,441,617,205,683,824,389,127,649,170,492,507,123,638,706,831,897,
204,200,102,056,848,866,922,982,313,833,800,548,369,758,108,812,798,707,458,
167,038,221,149,794,147,691,734,684,502,817,324,128,169,313,294,221,441,774,
570,298,557,745,253,267,949,189,782,543,523,371,916,337,709,309,912,749,282,
444,520,911,482,799,029,508,452,701,364,203,341,506,876,511,277,223,151,698,
950,823,961,243,570,340,118,451,373,635,566,012,726,846,096,562,564,319,366,
267,344,011,297,296,282,864,849,062,513,741,501,202,194,036,054,248,744,025,
962,615,644,931,318,421,479,732,807,661,130,946,017,044,271,501,719,995,932,
384,510,671,275,210,271,276,405,067,953,425,608,127,918,217,883,160,314,234,
338,593,435,985,319,454,900,042,168,542,399,816,157,381,653,869,281,605,534,
884,196,119,816,424,480,306,787,409,292,539,320,132,328,388,012,906,810,907,
222,685,673,245,243,966,905,649,384,829,746,969,453,996,012,765,451,099,469,
585,930,316,981,226,462,314,790,095,380,462,391,418,893,621,540,512,543,739,
882,220,564,408,007,125,110,600,306,007,686,570,697,186,970,904,115,240,357,
377,138,685,757,970,097,910,895,899,871,939,456,058,926,072,110,556,926,287,
420,114,141,256,683,958,857,001,416,668,736,002,419,733,543,890,787,698,641,
263,149,371,854,816,026,669,923,450,888,208,013,161,217,794,425,822,459,209,
582,303,138,965,219,955,619,178,998,924,134,496,432,358,355,930,636,605,826,
947,277,652,285,618,792,631,517,130,759,728,441,638,520,110,986,288,245,414,
016,933,454,496,614,657,609,505,502,610,379,438,578,765,517,494,882,424,034,
340,261,393,306,509,015,570,131,349,580,949,727,693,726,306,455,751,873,247,
325,990,177,887,321,366,538,864,939,052,074,331,453,498,450,194,928,971,113,
500,160,999,573,699,236,976,069,853,308,406,036,977,600,249,618,349,059,714,
204,296,867,544,738,466,246,852,591,912,944,145,131,883,151,552,074,640,684,
890,550,314,498,700,475,618,919,485,748,626,422,523,305,920,508,080,864,655,
832,473,671,472,245,520,091,633,949,354,818,064,076,190,508,206,198,696,687,
654,117,134,257,581,161,314,424,801,793,695,842,188,007,293,133,518,607,724,
799,662,551,275,851,558,695,729,194,494,478,993,420,179,164,653,036,007,504,
810,242,430,395,298,957,788,304,596,122,379,867,709,490,223,732,969,237,837,
804,404,837,124,033,620,376,205,365,923,806,272,320,990,631,332,656,062,155,
322,933,798,828,976,501,432,008,016,317,955,760,964,821,793,150,783,579,585,
435,124,406,428,422,269,754,541,497,484,707,004,182,040,580,140,607,506,136,
823,152,880,954,192,365,288,824,798,369,800,368,403,656,114,964,661,804,569,
835,879,668,821,381,825,768,723,210,464,068,888,385,762,957,860,849,037,148,
440,189,725,609,859,315,166,790,363,128,114,806,454,654,085,512,428,595,944,
095,320,606,356,810,863,038,168,376,818,133,703,738,340,856,642,786,080,448,
528,731,787,642,510,309,740,941,057,424,875,679,890,579,254,769,624,726,052,
587,066,354,375,499,547,726,759,976,896,317,532,364,602,722,441,288,994,569,
645,112,873,411,345,961,680,416,774,482,744,266,876,318,816,523,450,702,070,
010,432,652,754,382,899,112,067,422,918,069,815,372,391,895,596,585,120,195,
363,996,670,777,497,268,245,008,825,894,528,749,920,223,826,771,886,017,566,
075,324,661,232,142,445,578,805,056,332,121,197,518,194,405,776,906,801,020,
632,212,136,596,210,190,504,228,176,110,164,588,858,613,184,114,050,924,280,
073,133,287,196,168,181,017,526,397,325,916,422,665,839,703,917,608,452,261,
097,525,046,785,891,904,240,702,687,966,708,412,820,213,517,852,220,204,470,
259,518,491,892,155,233,249,824,743,245,951,256,283,383,713,420,889,082,823,
380,650,792,345,834,284,248,611,762,112,029,909,328,499,007,260,781,546,969,
329,805,627,584,692,287,548,625,826,082,581,602,741,374,757,207,080,713,188,
066,110,682,369,208,844,033,964,495,032,958,427,888,194,832,205,911,367,406,
711,434,329,456,695,018,800,286,870,760,906,129,749,154,827,705,398,670,290,
319,441,507,838,637,365,877,835,024,283,032,282,837,243,554,175,350,606,424,
313,515,568,430,501,559,780,479,437,419,510,698,106,508,711,046,218,134,116,
542,042,298,325,644,044,837,486,687,187,388,603,261,635,665,231,157,806,039,
037,080,638,794,111,450,753,982,676,252,632,300,021,363,560,906,042,990,965,
172,422,822,667,611,058,139,403,092,458,544,009,275,511,704,687,596,132,597,
983,276,898,701,936,648,894,228,510,503,988,084,420,786,065,366,192,344,146,
796,253,937,849,213,208,855,895,813,985,113,898,626,057,727,117,462,995,662,
571,758,061,465,621,371,903,962,727,907,896,581,165,670,626,585,931,665,309,
071,482,233,675,688,977,735,351,238,968,006,083,324,221,091,887,817,032,415,
313,298,489,683,487,141,812,553,807,470,383,796,402,497,832,342,526,189,050,
745,774,608,277,770,758,864,702,283,507,542,103,335,002,551,811,916,717,503,
712,624,919,213,241,148,982,052,859,093,679,141,497,567,313,175,430,733,911,
950,984,125,680,041,566,781,099,446,817,516,157,263,650,078,076,044,916,821,
836,110,804,786,939,997,145,067,250,570,146,045,580,723,751,391,881,932,449,
397,203,939,351,619,394,449,029,132,195,138,678,488,739,304,773,265,186,424,
038,323,293,917,622,040,145,696,655,788,432,347,913,354,466,641,506,159,526,
362,903,179,462,977,825,125,457,804,632,760,081,083,234,819,699,288,393,193,
493,422,994,993,657,832,947,172,503,367,336,990,465,655,190,830,502,172,984,
791,133,028,046,415,833,850,925,092,873,134,370,112,291,409,962,605,469,682,
408,791,366,426,742,201,431,266,200,061,223,608,947,205,613,725,319,644,954,
373,662,203,812,209,839,824,827,559,260,510,632,852,710,637,861,632,080,561,
675,753,770,298,029,843,238,794,230,870,991,821,112,670,643,023,278,423,606,
170,428,736,477,293,481,027,681,145,605,476,493,231,135,635,592,044,741,793,
262,255,945,739,739,303,042,843,146,312,210,859,501,755,349,508,271,896,583,
929,676,010,642,853,332,493,993,655,574,049,846,955,205,874,854,253,644,113,
963,713,164,862,781,615,157,206,032,589,182,085,137,530,302,051,902,289,799,
584,094,407,789,941,266,871,496,014,796,578,871,360,809,764,350,653,527,673,
706,193,686,661,436,396,396,072,203,658,295,595,864,628,765,447,400,415,171,
865,378,983,270,605,942,759,999,759,210,020,412,189,723,352,457,103,071,322,
064,114,285,756,441,175,303,133,667,499,024,066,025,810,752,141,091,061,207,
225,891,020,960,088,945,987,189,918,826,108,405,826,709,487,465,091,268,405,
351,854,858,298,123,385,295,317,560,502,113,367,641,889,467,972,179,185,983,
397,381,482,847,393,731,219,757,161,611,389,773,406,234,134,591,515,477,885,
337,844,820,672,155,397,120,827,068,537,074,020,743,181,955,569,980,403,279,
464,879,255,188,345,398,822,653,805,792,155,866,333,079,393,140,198,433,896,
738,456,061,116,944,536,855,465,286,609,758,865,307,918,424,129,256,238,158,
731,759,303,766,546,251,172,186,531,876,957,119,915,391,310,166,265,227,169,
875,140,378,800,701,191,842,469,539,597,475,428,681,874,152,898,014,148,263,
115,787,636,730,499,231,124,363,912,203,071,401,627,417,530,777,137,408,450,
686,391,312,033,249,008,071,032,799,771,706,971,731,175,562,200,549,602,155,
545,664,004,819,030,923,421,308,888,228,000,352,200,864,983,507,303,415,567,
858,837,178,673,186,457,330,886,553,973,648,926,965,972,893,342,697,189,697,
408,118,607,287,590,922,743,987,977,028,482,669,156,871,044,539,249,920,714,
129,617,761,355,706,512,295,277,479,647,342,122,377,370,503,931,819,634,587,
181,512,568,136,001,348,070,736,679,037,175,872,801,142,445,073,984,163,964,
942,620,815,641,785,928,555,053,596,222,257,005,795,901,504,954,588,130,424,
890,598,167,045,378,357,816,595,117,085,964,019,410,024,615,196,033,896,942,
218,484,763,263,132,297,343,894,316,328,623,944,474,230,371,647,991,960,363,
991,243,512,107,722,326,637,762,726,268,354,612,843,329,665,411,413,806,107,
777,022,397,887,261,906,097,715,519,013,520,658,520,887,383,140,838,275,525,
856,584,580,884,322,364,395,794,834,730,357,421,548,510,025,948,386,541,119,
111,911,450,562,043,483,765,810,020,227,505,671,428,928,479,342,968,010,569,
804,164,634,293,674,575,138,453,163,978,638,838,587,769,675,840,686,805,627,
117,565,362,306,094,938,385,865,393,513,135,463,385,479,509,579,014,927,947,
157,087,051,686,881,860,599,003,564,586,338,344,971,320,270,692,029,530,080,
401,519,684,887,062,367,270,151,345,086,409,840,525,700,445,662,605,940,251,
597,621,993,712,781,328,929,966,916,693,431,520,104,709,385,010,285,512,550,
496,893,216,456,693,536,418,982,173,606,104,157,229,341,323,505,290,808,225,
440,035,952,574,965,039,404,370,500,856,550,990,439,286,618,498,678,763,801,
729,823,508,461,847,436,166,482,045,549,768,373,205,511,467,624,195,324,133,
442,088,992,043,036,216,958,727,947,895,510,193,432,671,939,860,982,498,831,
038,054,690,351,947,242,707,119,666,053,457,228,807,816,133,131,570,226,836,
336,513,408,986,877,028,788,720,093,345,049,454,138,672,234,882,285,989,846,
647,367,946,191,492,406,548,962,425,901,580,485,916,589,171,055,277,505,290,
836,692,975,126,058,385,074,479,987,973,888,882,936,308,483,381,000,111,148,
101,311,886,329,886,293,644,930,593,023,724,120,783,518,246,442,480,988,271,
184,850,897,860,410,272,926,364,462,761,465,275,885,903,233,139,611,936,033,
380,675,861,006,498,432,884,716,927,870,611,232,045,777,674,131,772,619,500,
916,931,453,522,105,134,711,297,537,979,716,037,587,211,292,143,947,687,464,
569,142,149,781,810,343,573,439,700,902,473,873,803,056,240,044,670,904,390,
104,869,933,674,757,577,325,167,178,707,946,185,774,219,475,029,412,611,957,
951,653,164,747,970,778,945,873,799,083,823,201,354,138,797,595,065,581,297,
141,127,394,312,171,432,349,515,803,174,403,283,121,416,220,999,091,279,776,
826,555,068,855,163,266,824,212,761,685,931,699,824,450,900,096,925,031,656,
552,834,712,534,654,850,135,798,209,332,382,101,369,410,943,343,342,557,414,
725,382,484,661,904,333,143,609,884,481,143,999,533,849,360,235,331,065,176,
971,983,022,704,669,607,521,475,086,860,235,542,241,306,939,139,948,708,438,
787,140,191,996,851,018,842,068,664,953,890,346,494,800,916,651,973,839,763,
333,485,515,590,647,353,469,435,015,897,918,032,582,170,689,844,444,538,644,
651,894,152,193,585,863,163,287,027,149,228,571,711,561,234,892,484,229,725,
155,566,737,165,516,114,262,825,976,114,416,483,172,303,174,565,365,403,368,
231,448,732,070,875,458,308,694,343,622,176,179,227,401,721,749,135,689,306,
403,190,521,145,162,234,295,254,244,194,769,187,936,841,096,956,615,114,680,
759,607,135,624,433,736,095,122,161,848,900,165,268,800,510,022,096,815,446,
519,787,548,642,405,650,221,404,451,957,513,150,696,351,124,261,723,924,403,
029,712,696,784,201,818,443,918,517,159,999,472,281,949,180,705,624,511,216,
980,422,110,276,253,417,584,243,203,884,117,627,723,198,393,352,832,384,192,
215,974,513,194,934,202,346,244,128,325,867,543,506,439,323,776,848,031,483,
484,261,921,693,390,279,656,956,928,786,528,076,435,885,497,367,904,980,140,
532,901,026,556,369,025,802,529,144,912,876,770,601,008,058,241,791,087,744,
393,942,852,722,421,271,168,626,694,038,137,799,484,143,454,857,430,529,293,
862,926,571,647,302,686,423,092,052,248,860,879,721,412,165,781,701,724,670,
329,828,909,302,814,822,917,195,622,767,076,997,727,835,152,496,365,908,514,
533,567,010,792,702,092,493,990,109,660,616,066,932,519,898,559,387,475,113,
970,810,901,012,635,642,290,932,650,769,801,556,050,074,063,418,330,853,867,
581,057,969,275,351,094,624,586,673,278,075,226,870,398,885,958,985,289,562,
549,176,909,561,360,346,216,678,637,616,824,519,049,864,232,079,877,579,592,
180,374,417,785,532,956,643,817,713,610,056,165,090,877,729,018,325,776,517,
875,124,906,944,640,545,652,361,360,816,107,894,315,122,529,153,129,177,819,
471,245,413,502,851,032,983,663,793,587,771,369,574,815,596,613,326,410,667,
258,446,592,071,984,015,322,345,879,770,951,935,734,339,142,471,844,568,485,
427,624,538,198,516,345,509,844,115,669,187,105,684,505,517,476,758,983,315,
704,703,207,160,470,447,871,839,151,376,111,100,485,449,143,882,313,915,158,
184,873,623,242,744,447,989,529,658,588,028,143,622,423,267,384,710,775,584,
211,148,794,837,985,669,041,478,146,467,745,631,884,230,149,659,027,497,868,
113,644,228,841,607,186,628,906,546,958,711,661,295,785,732,349,926,908,959,
994,419,147,097,394,930,111,463,599,618,827,686,385,941,619,718,062,240,023,
785,235,492,856,536,036,601,364,486,444,971,659,152,081,686,462,386,746,211,
965,080,890,954,708,305,626,302,526,512,460,112,383,709,111,651,154,015,505,
897,773,299,265,617,451,522,337,115,014,347,056,135,544,145,209,982,141,774,
249,889,570,746,069,632,811,101,665,034,487,105,875,981,079,862,670,057,108,
502,489,083,812,907,267,138,346,636,238,665,697,037,915,766,296,648,537,501,
117,770,036,429,807,471,393,627,087,700,844,207,420,963,682,003,524,349,204,
521,629,108,121,483,992,439,893,089,052,263,445,733,258,775,497,263,937,611,
610,926,709,485,622,669,042,834,069,162,567,146,432,444,919,346,624,069,173,
311,838,056,067,475,464,949,446,472,816,480,586,189,794,402,865,423,598,134,
010,262,817,153,494,217,611,770,497,629,656,983,446,618,154,201,521,359,967,
636,931,657,004,091,509,754,000,961,298,646,759,432,883,967,510,764,792,440,
622,177,323,148,650,428,247,218,679,018,091,943,399,966,412,547,694,827,480,
246,709,850,254,936,262,337,485,033,436,509,386,091,183,345,731,992,676,194,
731,237,764,859,934,189,183,613,243,981,538,756,935,909,247,707,606,343,941,
031,400,388,522,801,977,719,844,806,081,261,335,538,951,101,476,939,613,641,
304,234,441,329,904,396,294,769,429,964,593,102,906,825,296,370,770,592,977,
646,013,960,373,018,596,513,231,589,351,729,249,631,418,909,655,861,124,389,
375,100,300,462,639,283,470,257,334,157,937,485,588,154,503,738,976,488,289,
483,784,497,831,188,663,147,190,664,672,317,630,723,301,734,786,876,348,380,
159,530,160,961,678,450,145,268,883,598,971,273,789,192,965,991,771,242,135,
572,494,255,512,487,842,795,981,858,981,152,820,399,960,095,447,933,925,234,
377,612,043,066,525,361,321,216,186,129,243,913,843,273,989,621,638,464,356,
692,219,915,126,796,862,481,310,689,665,964,562,032,779,809,748,770,471,198,
749,768,868,755,985,227,813,157,091,926,127,002,352,607,467,515,511,662,025,
544,581,699,856,017,633,804,494,254,513,987,092,903,633,768,666,649,847,696,
961,040,222,970,926,225,593,268,389,412,118,088,124,268,547,022,030,075,396,
623,063,067,109,620,859,069,539,660,753,649,704,641,616,477,790,496,903,075,
512,388,101,892,520,961,692,862,782,407,476,795,297,608,836,793,372,301,604,
544,005,301,439,282,415,051,009,212,116,799,062,063,016,541,954,539,077,401,
733,534,993,632,057,158,133,801,076,818,784,710,042,725,908,982,347,214,674,
066,406,340,564,307,515,267,558,696,893,967,847,977,813,604,818,380,089,867,
840,286,159,729,844,891,156,173,407,500,289,654,791,652,585,133,142,920,054,
642,005,117,497,648,777,370,125,988,628,487,981,336,287,715,059,717,889,071,
378,188,582,545,870,572,609,871,536,181,197,473,194,228,264,619,172,917,887,
849,559,078,210,601,326,012,081,107,740,679,178,087,252,402,507,539,555,557,
655,797,058,889,685,473,738,735,944,732,697,760,563,609,155,839,139,497,781,
199,611,972,567,669,735,772,678,105,665,928,833,548,500,126,890,298,134,963,
298,317,657,166,877,519,694,575,945,878,692,400,470,906,705,305,279,586,206,
970,421,053,335,594,722,252,656,128,577,456,469,334,560,230,410,824,663,397,
486,986,643,621,211,456,567,768,547,184,909,024,081,301,022,616,131,751,913,
645,901,228,645,845,487,964,364,279,310,363,151,205,424,623,345,682,533,255,
990,050,608,005,702,294,962,653,057,433,331,652,613,149,606,798,330,727,822,
609,921,971,122,074,636,438,067,995,126,300,023,391,073,422,631,568,021,858,
092,564,683,938,532,436,109,353,987,432,609,492,327,513,076,479,862,501,223,
102,624,006,059,554,591,887,800,612,004,496,604,783,153,343,771,877,293,698,
446,051,879,199,795,572,560,270,360,993,061,789,571,962,948,102,893,737,210,
807,080,667,243,676,748,817,640,792,873,630,674,200,567,770,178,806,502,393,
910,427,326,171,349,320,914,001,532,255,445,505,987,661,396,246,068,720,953,
116,077,596,455,866,807,351,584,820,558,113,066,782,537,583,750,886,450,893,
726,770,030,140,934,464,097,025,346,646,619,328,277,667,053,541,355,081,902,
597,405,571,243,563,000,739,108,929,421,319,779,727,532,540,158,897,811,213,
228,081,138,169,604,836,529,292,540,360,944,543,783,251,273,316,267,011,406,
466,735,142,628,232,884,957,055,875,377,508,768,313,887,691,353,448,847,852,
325,666,143,768,763,070,674,638,069,813,647,449,617,885,551,191,214,881,713,
105,206,883,180,654,394,071,983,013,616,559,347,635,695,492,824,312,447,454,
319,162,280,116,296,341,427,673,564,053,540,924,425,200,292,036,017,283,746,
547,888,035,306,717,594,259,418,438,948,020,315,059,229,354,033,414,302,180,
330,224,866,462,475,027,299,606,215,351,344,701,226,329,127,949,571,097,135,
606,982,337,833,700,257,207,034,174,762,022,005,562,757,492,503,088,657,206,
794,169,248,582,056,251,769,677,120,949,501,710,046,721,172,722,760,702,712,
775,733,807,320,382,694,784,161,134,653,280,338,539,747,193,470,231,023,866,
704,069,771,405,951,955,716,802,031,231,369,637,857,601,461,355,651,851,978,
679,196,855,069,344,190,729,307,765,883,585,082,709,971,939,508,839,054,523,
425,697,310,398,010,913,962,621,421,464,271,492,261,630,668,792,114,450,737,
809,895,241,915,864,638,087,636,009,300,174,039,296,654,945,867,168,622,899,
359,760,758,609,599,745,113,610,400,025,880,994,453,171,512,823,306,524,182,
249,924,574,123,538,057,182,176,016,849,728,541,058,510,962,783,046,572,129,
695,283,358,685,957,231,707,754,437,769,275,921,103,286,971,943,059,001,755,
668,935,829,900,231,426,473,676,364,775,081,015,718,061,712,887,632,952,981,
578,252,520,762,375,245,693,465,062,354,314,285,011,310,678,180,342,168,105,
575,469,268,207,694,927,010,782,605,988,123,932,485,802,043,132,104,338,915,
216,951,142,808,873,296,973,376,331,328,211,729,709,039,909,973,357,506,035,
055,776,437,479,549,083,689,603,896,245,918,073,912,017,421,742,350,382,170,
293,865,653,543,547,653,691,998,327,625,725,012,740,396,943,948,331,638,383,
298,774,854,090,118,731,063,333,370,403,253,544,048,469,884,953,554,279,174,
603,076,019,181,879,704,943,249,377,756,918,020,306,820,790,263,326,799,322,
741,880,169,620,027,029,902,148,901,730,774,854,782,901,045,810,114,638,490,
412,172,079,769,002,061,483,482,970,954,697,504,638,763,136,146,566,753,699,
081,829,840,398,788,605,090,134,622,434,649,700,762,997,465,800,476,962,569,
186,531,349,059,738,827,114,694,752,004,971,990,723,629,843,836,000,340,953,
522,802,655,664,617,009,432,143,113,124,249,532,546,628,109,159,019,034,654,
003,146,676,812,563,124,037,856,721,747,436,546,336,457,516,549,614,809,391,
246,378,017,706,443,622,663,394,079,443,361,136,308,263,982,084,981,115,329,
474,022,452,358,454,061,790,866,896,975,467,351,985,125,359,485,394,259,859,
815,577,499,045,663,482,808,990,707,303,453,791,571,218,974,308,801,486,151,
386,910,316,083,985,304,945,580,901,413,771,332,146,789,286,981,726,807,407,
241,091,371,141,315,758,491,350,655,984,521,468,639,751,941,698,685,976,428,
255,808,612,688,103,947,148,441,969,427,824,834,222,402,912,286,766,745,599,
566,838,772,940,292,491,625,904,680,435,297,093,878,055,102,197,982,127,947,
850,980,535,316,436,093,238,421,868,561,417,375,021,073,651,028,118,326,412,
868,007,317,797,652,581,492,366,834,776,061,152,676,278,212,024,698,488,384,
614,806,891,856,567,265,689,922,784,187,464,288,609,190,050,495,353,540,240,
809,472,086,305,438,134,994,959,091,161,811,350,483,789,050,564,997,656,329,
104,121,637,258,893,250,780,617,518,288,231,807,178,895,384,619,090,731,750,
095,354,203,384,992,277,184,565,230,861,082,192,038,675,801,882,560,564,073,
095,466,629,113,867,041,821,594,787,547,811,066,363,392,540,425,245,555,864,
138,691,668,067,218,930,875,617,504,927,250,397,812,701,785,098,829,652,778,
126,047,633,219,976,345,361,221,815,238,793,512,054,294,146,849,053,793,113,
518,896,866,403,442,063,299,484,491,398,360,954,120,744,521,525,925,061,890,
508,017,029,652,865,008,479,120,141,564,307,344,353,998,661,860,846,632,717,
263,022,185,641,058,046,882,869,025,891,974,969,223,074,710,199,604,684,973,
304,151,274,425,922,095,261,510,345,179,723,638,660,142,560,713,811,371,731,
302,425,985,903,924,611,789,944,328,689,552,404,589,698,691,629,631,443,315,
270,647,941,361,201,553,924,078,519,635,566,404,808,268,517,901,531,626,989,
510,321,862,274,229,120,041,733,174,064,043,382,484,972,634,150,407,809,641,
560,043,661,165,949,897,450,312,618,740,839,263,285,857,437,583,959,768,880,
426,696,350,047,213,664,084,054,165,762,760,774,620,348,058,527,575,941,878,
295,933,568,623,600,969,214,685,540,837,103,680,429,694,813,141,234,421,801,
186,021,763,170,754,772,562,874,660,937,941,869,581,292,342,545,632,734,375,
221,986,402,632,261,948,631,111,849,356,242,118,729,976,764,628,291,147,775,
894,226,682,144,118,888,760,268,587,923,370,427,354,851,892,676,587,539,409,
379,329,427,878,642,657,462,302,248,325,948,111,494,938,762,706,706,781,699,
345,680,505,826,268,643,762,847,451,452,651,053,235,585,090,747,214,984,656,
467,418,684,711,593,835,287,169,619,356,709,539,159,193,945,447,624,371,150,
120,141,097,927,271,359,851,218,166,923,252,203,544,071,197,903,111,704,342,
974,410,653,948,880,809,030,734,648,822,695,440,967,695,150,314,122,656,988,
281,439,920,401,384,222,688,685,874,062,834,676,555,588,757,314,964,428,440,
122,610,596,149,759,872,688,170,559,559,586,571,947,746,049,943,411,803,443,
743,980,697,101,849,372,015,386,628,396,086,987,538,494,073,916,633,598,233,
563,148,158,106,861,125,883,975,759,147,769,929,664,299,066,110,339,192,351,
759,216,688,340,547,519,513,925,150,360,310,978,144,102,209,844,289,560,334,
100,632,704,837,088,393,964,649,431,389,446,397,463,282,428,595,314,417,644,
209,140,310,285,457,113,888,279,728,588,484,237,479,226,669,939,202,917,861,
101,148,121,325,795,402,859,993,394,241,388,625,227,267,516,161,109,913,836,
851,511,533,894,531,425,210,576,880,336,659,678,915,004,939,364,055,008,459,
114,560,442,898,882,364,330,128,606,941,213,836,864,022,200,277,340,888,906,
884,521,663,951,408,189,563,739,789,632,744,647,361,461,013,971,585,790,978,
918,142,549,245,406,404,397,680,094,532,240,793,011,220,414,390,080,729,042,
833,257,077,943,902,522,702,243,946,199,579,478,491,391,040,606,183,962,682,
406,795,809,950,502,080,331,588,054,308,389,966,920,581,185,348,401,701,943,
612,623,095,929,121,567,197,012,179,491,976,220,168,231,224,591,603,846,829,
531,588,106,397,400,970,105,119,250,481,041,072,353,080,638,665,644,818,832,
868,004,540,080,598,287,273,372,203,890,005,593,536,494,571,896,738,478,337,
192,150,366,191,154,175,695,082,355,310,279,133,491,992,273,327,399,116,649,
655,826,668,969,861,646,511,873,711,850,866,933,898,142,043,291,435,062,005,
711,142,347,439,045,453,312,514,477,084,876,063,878,750,671,489,237,088,228,
632,531,410,857,606,988,930,257,002,736,574,989,513,130,819,222,808,148,775,
323,383,840,456,109,907,543,635,097,418,501,103,399,160,219,786,220,927,871,
741,781,417,223,677,124,702,257,049,256,276,797,808,941,001,587,230,442,913,
346,947,209,608,213,531,006,654,807,421,943,014,550,722,642,186,677,402,880,
751,451,410,093,589,993,520,257,220,021,565,101,072,126,941,149,509,362,655,
950,138,000,367,953,481,461,212,282,358,018,232,775,304,826,231,449,075,797,
790,061,595,295,356,224,710,900,632,889,052,112,783,027,547,404,651,466,149,
039,592,541,502,725,521,184,524,791,867,493,427,177,739,983,599,319,711,141,
478,735,547,297,503,101,209,113,699,428,270,231,710,169,480,763,635,570,474,
320,691,480,510,959,366,673,659,358,348,704,289,071,659,657,602,013,104,371,
211,573,153,464,401,149,653,812,590,762,771,909,631,495,770,259,403,809,105,
554,413,584,262,937,738,650,559,168,077,404,320,107,770,353,823,071,608,137,
481,520,459,002,525,960,189,001,155,332,315,443,429,666,743,612,096,574,282,
592,155,009,458,118,478,618,417,331,074,720,013,430,163,278,221,101,733,178,
526,214,380,355,807,602,089,265,362,950,782,476,269,480,774,542,027,066,878,
409,570,275,283,030,966,498,115,522,536,807,303,495,649,097,751,429,507,519,
172,427,199,765,793,293,504,660,743,691,588,286,725,529,570,506,288,826,301,
187,520,390,096,427,744,316,123,606,959,178,255,555,808,723,295,409,498,037,
688,377,879,968,105,725,980,518,142,955,205,028,390,037,393,148,521,676,779,
983,903,903,918,945,193,398,444,535,427,267,474,045,265,982,638,518,273,536,
052,449,455,179,932,208,074,362,565,266,673,897,031,317,713,967,713,395,417,
790,893,229,011,918,021,873,704,932,080,088,322,522,278,255,128,666,222,882,
817,877,859,002,663,687,101,515,591,639,419,680,598,796,978,313,400,671,669,
000,895,774,261,386,921,199,838,471,313,663,724,935,074,791,780,340,108,978,
260,247,222,518,571,895,856,380,941,488,346,547,382,880,145,831,164,701,776,
939,544,387,953,801,094,062,635,564,923,961,352,143,803,395,147,145,273,973,
225,459,067,442,435,282,362,277,992,972,638,110,451,497,983,683,077,634,099,
291,319,993,828,141,505,104,605,045,081,785,968,679,080,827,263,052,656,654,
971,143,374,543,775,249,117,701,584,970,735,342,982,387,767,150,184,186,812,
634,563,134,223,995,676,376,850,485,742,172,174,541,134,063,091,460,017,106,
561,851,293,503,306,740,954,664,770,910,057,693,146,078,040,668,587,180,666,
541,335,767,690,040,390,588,216,415,043,352,149,655,063,821,019,096,767,200,
902,344,048,518,784,243,075,985,494,476,486,364,239,334,412,291,363,624,721,
703,856,666,138,539,030,724,196,995,279,406,232,300,662,420,945,316,724,950,
572,151,609,377,131,161,366,640,733,857,645,675,242,039,065,898,517,622,129,
671,662,741,326,372,191,855,697,445,593,351,031,181,101,716,278,789,766,441,
781,660,274,071,274,603,459,345,053,091,854,341,677,950,037,713,489,795,867,
599,454,759,567,090,713,248,521,620,458,721,116,604,829,385,129,428,231,686,
055,908,051,304,338,424,865,789,485,268,970,369,069,435,553,558,276,110,534,
780,546,569,637,656,371,624,684,529,184,922,637,165,780,622,429,266,059,892,
150,367,520,590,794,862,589,761,598,369,529,315,352,939,418,255,975,675,304,
846,500,118,633,452,270,091,409,963,676,606,572,666,848,406,874,249,378,687,
193,113,186,586,757,989,580,799,191,540,468,381,940,811,737,206,765,133,365,
733,041,364,899,998,530,268,031,880,983,690,434,188,574,309,079,241,461,333,
535,859,805,838,530,897,074,719,595,890,432,512,167,743,154,229,600,487,685,
704,983,533,601,010,901,304,978,857,617,396,675,744,560,774,435,442,077,014,
600,295,506,620,243,410,209,854,115,117,398,894,344,295,546,153,942,813,885,
254,589,369,296,830,394,589,612,264,705,853,660,515,224,517,938,388,238,842,
691,004,266,967,158,456,817,454,705,181,693,723,044,029,074,834,330,820,785,
471,307,415,608,581,753,182,286,299,544,302,113,431,926,604,835,565,337,210,
582,017,599,915,393,880,855,621,263,497,975,331,180,730,863,399,230,729,670,
531,299,490,910,419,630,734,567,307,856,138,021,488,342,921,322,843,193,397,
221,074,988,245,782,794,451,883,133,376,256,484,786,843,336,562,937,125,845,
958,182,643,400,448,089,850,672,886,149,879,030,417,159,001,192,484,131,087,
162,052,675,672,362,105,796,535,748,744,497,562,067,870,809,642,657,280,905,
392,553,990,458,889,944,352,025,408,689,250,869,629,021,156,510,460,562,017,
778,740,404,473,193,250,251,350,818,857,574,902,825,707,062,805,247,562,914,
462,810,934,678,514,993,687,500,166,696,956,590,731,033,492,513,713,894,100,
563,240,266,392,174,410,212,678,166,498,430,406,216,246,293,416,978,360,561,
543,241,954,629,785,879,084,056,260,283,519,933,668,437,612,688,418,350,139,
893,696,552,828,082,516,981,437,651,536,243,471,336,485,112,692,083,818,876,
645,039,224,561,763,045,141,502,401,871,728,368,668,797,054,096,301,796,602,
378,683,377,757,380,938,148,959,479,274,324,826,146,725,564,365,765,549,676,
892,678,981,367,607,210,898,994,517,178,235,602,467,020,852,960,848,170,852,
035,541,033,099,370,488,459,771,170,975,788,795,084,665,984,321,840,596,544,
810,613,645,635,657,496,111,540,223,724,653,984,248,369,133,809,557,832,931,
725,880,066,331,422,166,988,033,600,843,420,301,797,147,302,122,467,209,085,
766,659,961,411,140,463,852,486,442,182,740,271,216,760,124,593,571,520,847,
968,805,893,406,811,379,513,432,377,531,317,598,809,388,908,394,632,714,618,
669,260,566,559,090,505,325,483,489,748,283,563,454,467,665,841,827,722,519,
738,738,444,206,652,544,097,856,879,185,656,043,329,588,854,059,592,651,086,
086,533,124,750,722,193,388,756,093,145,958,070,385,758,225,029,895,916,083,
668,173,746,657,180,602,702,591,772,404,771,779,041,751,008,006,264,931,692,
780,332,780,897,673,712,583,943,320,572,998,644,881,113,084,433,325,492,621,
099,941,546,886,900,791,480,851,741,351,576,993,123,456,954,330,274,169,197,
150,236,699,185,418,332,308,455,015,184,635,055,145,797,833,401,446,693,216,
662,108,879,439,881,314,440,720,191,090,439,053,845,157,073,822,368,510,809,
077,376,579,516,290,754,375,184,621,112,222,483,844,258,653,840,166,466,434,
929,839,227,078,045,914,262,074,480,213,436,306,976,504,987,953,757,264,870,
918,823,259,918,902,647,267,429,010,905,087,262,432,838,579,292,797,654,315,
398,170,620,643,785,862,713,014,289,745,152,978,348,925,674,450,503,710,790,
536,921,483,671,326,726,902,198,453,498,387,189,899,442,598,026,217,538,094,
582,942,283,387,001,068,885,109,895,625,923,424,411,504,636,362,406,978,259,
358,600,693,622,086,900,392,049,597,839,933,122,209,898,248,622,988,338,610,
940,255,557,570,470,848,174,480,210,717,750,693,435,833,202,595,759,640,479,
386,548,792,144,026,467,461,758,174,281,944,126,561,837,950,126,501,837,007,
762,403,950,201,854,484,134,914,728,270,320,318,956,469,944,528,624,660,965,
119,120,897,167,876,760,204,842,233,432,607,149,873,126,108,866,378,545,742,
062,213,723,933,517,075,543,251,633,010,180,563,474,367,228,117,714,548,067,
022,523,811,766,733,065,309,253,281,006,269,811,179,359,510,928,515,055,953,
861,904,527,775,375,226,210,570,428,119,332,302,334,805,685,392,120,497,717,
750,465,648,393,461,594,233,687,366,958,933,339,770,334,091,611,618,563,914,
484,418,364,007,869,701,720,095,687,906,798,372,757,062,235,071,704,713,581,
589,101,070,992,766,345,248,673,618,819,766,153,525,007,471,620,269,142,854,
299,416,649,185,056,264,612,496,119,527,482,767,299,460,359,852,622,667,307,
870,930,850,351,888,662,175,099,406,513,494,311,649,508,692,132,972,820,748,
031,935,754,182,780,798,669,402,275,797,535,250,549,339,655,824,187,654,512,
877,217,163,900,933,566,117,773,700,304,567,582,340,738,428,685,858,743,364,
579,674,686,403,599,375,855,828,242,471,127,699,295,573,951,424,179,556,587,
786,352,817,859,918,335,196,467,278,419,508,646,086,506,289,025,968,139,426,
562,738,470,838,352,104,817,114,463,977,106,429,201,085,348,300,178,386,182,
686,528,984,099,949,834,127,890,074,405,043,268,801,005,651,400,280,983,738,
905,068,990,282,636,688,687,742,929,971,846,622,944,375,646,650,960,618,215,
115,435,385,497,188,636,125,242,099,047,029,480,277,146,683,916,157,931,456,
589,594,049,539,075,764,849,490,002,318,488,685,445,142,521,322,567,288,800,
091,940,277,430,468,639,621,944,735,357,836,946,034,825,305,249,654,716,610,
846,250,530,771,816,687,773,961,201,085,014,955,837,806,284,251,825,640,086,
459,914,024,411,970,757,735,628,189,347,093,541,003,345,086,310,086,401,559,
739,377,364,142,341,858,097,195,148,558,887,793,155,915,124,990,032,031,797,
736,584,131,943,789,696,395,635,855,800,675,144,558,368,796,099,331,630,322,
447,659,587,211,418,001,984,310,738,024,924,278,666,284,396,578,944,892,064,
820,551,347,641,058,169,811,182,448,219,430,104,465,245,276,084,456,145,571,
141,197,237,786,609,575,081,045,055,489,996,844,489,666,090,693,857,490,857,
420,532,588,583,631,512,935,390,859,284,209,809,255,112,788,379,574,102,930,
892,740,951,181,989,419,296,607,800,344,588,676,926,832,593,238,494,327,526,
148,514,112,433,874,900,405,222,193,180,783,872,731,451,903,632,141,851,733,
448,873,533,736,836,778,414,136,842,641,391,094,331,562,483,988,456,423,244,
112,263,650,655,792,766,701,513,282,883,291,337,783,478,730,040,945,151,976,
335,830,108,751,803,578,280,975,728,557,163,478,695,434,393,542,524,158,364,
236,576,322,483,466,520,952,891,722,720,212,776,765,650,062,678,642,277,414,
014,216,243,574,307,619,577,748,745,989,694,113,275,904,400,165,454,136,991,
911,773,143,364,419,829,037,023,270,949,321,149,277,149,901,945,338,149,784,
399,649,257,238,584,688,633,869,435,457,153,421,124,940,267,900,207,151,141,
269,850,309,940,783,838,949,070,140,629,048,054,051,412,652,646,454,793,638,
897,209,382,804,241,032,646,956,201,113,551,544,450,196,977,452,545,730,709,
272,782,851,985,404,878,117,235,591,716,305,003,182,051,597,714,242,731,352,
650,021,062,036,108,402,441,662,934,305,950,396,126,655,910,730,146,895,543,
459,387,255,875,103,650,084,955,975,844,681,292,398,700,755,160,141,693,521,
945,084,891,007,193,464,508,066,865,346,829,968,424,069,834,124,866,185,605,
143,492,817,134,926,079,208,242,330,398,761,426,844,855,276,240,588,045,879,
444,960,229,247,425,903,475,527,873,431,524,478,711,336,238,234,935,867,898,
133,329,036,823,396,099,822,194,756,785,080,734,893,454,960,468,706,465,274,
417,544,238,959,790,735,854,333,986,277,315,925,297,345,090,808,550,061,961,
401,323,356,154,988,174,096,726,905,337,475,332,019,068,810,300,268,758,896,
012,874,400,119,556,383,309,262,377,117,700,787,915,047,177,036,742,981,188,
723,280,972,397,947,906,857,332,542,021,797,740,873,083,514,246,261,425,299,
645,875,482,979,057,929,220,445,235,383,578,930,267,592,677,550,134,951,877,
713,081,983,782,069,899,524,482,981,278,879,471,710,731,511,780,922,558,607,
589,408,460,817,838,900,066,704,727,977,440,261,499,915,558,044,309,781,578,
158,956,438,089,874,629,459,875,162,054,700,987,952,338,758,185,143,557,261,
719,288,889,453,215,711,395,007,922,045,251,502,214,881,238,751,747,910,475,
734,701,162,089,097,677,179,603,470,741,326,804,580,676,142,761,686,689,703,
223,912,527,348,720,688,151,428,597,466,344,397,715,779,950,021,653,271,316,
514,306,071,753,630,764,924,731,127,030,142,233,644,281,138,098,652,288,113,
263,965,233,199,858,515,400,631,605,817,911,254,073,095,583,776,035,426,517,
092,533,189,628,815,953,588,559,980,004,544,365,153,238,753,062,229,215,754,
349,596,065,657,630,531,901,942,682,847,869,154,423,023,447,756,402,872,232,
125,887,561,932,558,344,764,378,026,673,915,036,513,381,015,096,521,363,717,
177,630,432,573,648,996,287,546,867,621,269,998,279,680,570,247,912,700,286,
895,232,325,741,771,970,321,249,305,244,043,112,984,067,743,267,831,996,183,
736,158,934,921,403,726,221,892,200,145,123,300,583,518,437,656,329,979,266,
100,836,856,881,718,615,258,503,676,777,543,598,819,892,581,935,273,889,373,
465,728,166,460,876,175,830,446,101,402,973,232,945,822,308,031,648,076,941,
503,084,156,481,199,380,771,410,008,200,128,352,540,703,447,308,931,629,543,
915,037,850,444,076,142,460,270,416,095,649,283,333,213,927,964,142,449,921,
522,065,680,489,268,911,771,971,936,118,027,251,700,592,932,340,898,070,085,
980,751,710,832,069,806,639,764,419,271,351,483,185,527,188,940,061,938,128,
721,357,271,618,837,532,331,246,172,879,890,531,147,482,491,603,582,397,505,
384,275,754,454,136,928,766,836,479,718,152,088,720,622,259,535,313,399,045,
984,051,389,520,447,370,568,495,420,246,722,839,285,807,823,021,549,355,118,
644,938,766,819,251,819,438,812,502,129,195,704,486,103,094,553,932,294,224,
114,843,116,111,156,922,012,427,957,450,136,934,547,189,072,497,030,762,028,
282,864,972,537,181,948,054,568,432,262,207,238,518,983,625,339,127,441,731,
552,524,644,033,137,835,979,945,623,320,661,022,862,827,151,920,343,584,748,
359,999,610,711,274,986,981,312,950,429,291,992,047,772,044,576,918,000,896,
159,671,259,415,484,158,212,662,119,159,154,649,492,161,966,370,583,480,957,
995,288,915,059,793,483,656,047,940,246,698,546,073,954,082,511,492,585,038,
931,720,385,274,308,390,083,171,396,613,839,016,999,396,192,056,935,532,940,
851,887,323,536,473,021,071,067,156,787,811,391,289,221,292,033,709,169,422,
078,075,545,280,223,988,790,369,962,996,811,446,569,040,263,238,413,955,378,
667,703,963,453,836,273,074,043,221,263,537,488,427,495,123,227,836,605,992,
226,158,866,667,685,465,282,203,775,941,777,879,711,616,003,589,464,931,448,
112,972,281,427,961,016,491,242,874,064,048,097,020,241,804,460,396,813,088,
107,834,581,351,784,222,347,548,794,053,082,985,657,857,398,125,604,784,675,
449,342,480,481,048,800,929,674,382,718,374,315,719,089,442,860,982,778,892,
290,438,209,584,676,151,453,342,353,640,603,537,370,190,108,104,782,793,980,
682,404,874,968,317,216,315,003,498,427,393,915,594,132,031,378,041,705,485,
902,611,631,811,208,844,407,160,416,115,861,877,869,988,767,007,951,537,101,
486,564,293,498,664,837,867,310,292,572,323,087,637,805,810,768,721,561,935,
050,455,804,160,509,400,233,653,491,506,481,008,058,143,295,115,814,941,958,
814,528,415,243,052,844,436,476,523,570,441,841,704,436,165,404,184,999,176,
431,981,519,658,859,876,394,176,316,218,317,511,739,432,439,566,342,760,687,
439,996,994,615,532,255,503,233,808,781,080,586,423,505,666,504,129,367,622,
943,896,541,533,200,166,566,162,907,751,175,288,889,345,150,371,583,637,055,
722,158,887,699,958,633,655,648,530,673,214,168,774,538,609,972,006,688,349,
567,450,771,333,138,572,917,464,353,151,282,102,452,484,909,618,758,333,033,
930,636,190,067,248,477,523,201,678,088,191,850,818,815,089,799,768,986,059,
549,648,364,592,419,802,367,353,715,396,721,177,940,435,285,218,889,149,626,
633,373,154,967,492,492,871,670,016,741,559,572,542,641,645,172,405,084,967,
221,384,852,048,721,643,971,437,904,609,035,628,070,666,333,152,943,794,831,
046,994,302,896,651,676,143,926,733,864,557,730,974,032,966,318,394,664,896,
033,856,741,975,929,950,542,552,005,497,298,971,202,223,302,802,944,025,668,
502,810,490,172,341,874,405,016,985,610,047,615,221,483,479,471,901,581,710,
947,042,645,983,115,019,858,739,097,607,648,276,205,043,571,508,928,105,945,
138,245,798,705,504,286,148,580,179,547,628,692,158,026,225,722,673,541,963,
091,552,894,818,226,899,083,569,403,749,510,973,641,636,748,170,008,289,929,
724,218,009,104,169,701,909,445,593,507,719,783,181,710,160,475,662,233,008,
284,209,714,455,546,946,981,084,204,953,236,119,876,617,865,769,954,782,115,
972,029,273,282,795,970,190,627,789,843,116,007,130,792,032,398,726,387,603,
910,003,627,081,988,460,038,812,177,476,272,455,071,932,109,300,751,301,418,
806,837,346,359,363,148,599,268,102,918,427,407,853,940,888,728,416,740,615,
884,094,003,711,124,408,740,561,181,638,045,259,570,249,241,107,290,212,687,
139,154,276,698,061,065,291,354,198,260,694,861,027,490,091,648,150,198,482,
888,899,166,232,982,009,314,850,884,345,898,427,014,925,577,957,497,946,473,
141,359,075,510,985,313,761,216,692,577,965,419,090,116,261,489,006,350,173,
456,567,486,809,628,639,059,541,403,933,485,329,476,059,508,772,442,880,608,
514,278,663,299,198,991,185,051,738,300,649,422,443,494,225,107,184,149,598,
992,396,887,773,986,634,374,686,880,482,179,035,490,660,076,233,411,495,596,
475,220,378,029,461,784,466,629,995,348,986,434,993,103,745,043,514,202,445,
849,179,909,671,508,292,825,571,808,344,920,368,868,560,794,529,821,903,992,
663,187,013,649,566,408,971,583,655,157,798,548,299,137,277,073,368,640,764,
043,888,918,536,558,355,398,440,211,206,143,504,346,582,273,323,980,640,877,
096,973,940,051,600,739,185,031,713,598,074,849,946,596,881,935,735,946,632,
527,143,030,911,051,524,175,233,417,722,070,332,013,093,859,893,423,216,588,
876,801,931,057,524,948,938,948,852,923,147,571,783,041,934,354,067,910,486,
767,172,218,750,107,178,864,381,544,511,581,966,383,826,027,435,781,361,809,
303,900,753,369,370,082,991,715,538,867,549,006,481,171,763,966,799,576,434,
366,897,860,109,663,344,022,996,489,500,062,985,639,883,496,819,264,935,773,
629,010,450,021,161,236,930,331,214,395,955,961,044,532,414,741,594,531,521,
789,422,521,564,174,525,160,959,667,435,280,952,082,474,253,248,586,590,242,
515,040,226,613,153,550,374,722,000,493,711,831,370,448,764,474,491,947,240,
483,497,207,605,341,451,280,903,004,154,124,779,985,316,862,481,994,904,221,
165,500,536,963,306,410,944,188,456,928,392,738,501,683,288,025,842,381,617,
614,056,229,325,753,498,742,837,045,221,379,440,698,459,359,910,538,452,957,
881,425,073,341,917,323,531,783,933,376,873,005,497,818,474,212,854,090,506,
712,327,024,739,150,611,672,793,506,701,639,950,413,724,041,835,997,898,227,
198,683,514,989,944,918,978,884,145,377,767,673,504,026,575,026,990,871,802,
452,273,401,343,347,663,453,978,357,416,229,802,799,330,677,234,558,129,055,
187,413,914,648,936,199,090,580,191,659,946,541,762,480,694,505,268,594,703,
457,615,741,308,621,998,391,394,302,527,229,430,329,052,584,943,319,352,302,
264,375,871,507,914,070,000,451,877,548,221,478,461,158,648,145,822,836,580,
699,685,054,952,807,649,198,973,638,509,019,591,036,839,167,486,969,039,150,
047,420,537,785,301,607,490,763,994,728,507,160,396,550,775,152,906,068,637,
574,398,610,089,869,675,621,130,364,097,961,034,211,196,711,310,044,930,854,
410,121,781,842,671,060,376,508,626,871,114,833,285,011,811,002,593,109,756,
584,533,930,640,063,353,446,875,838,032,229,142,047,312,214,671,006,474,995,
896,883,113,944,208,414,277,619,201,504,396,463,786,573,284,125,375,383,326,
740,789,123,881,077,768,853,597,039,539,022,798,159,207,810,969,366,312,350,
887,080,634,466,982,473,434,332,623,396,730,721,786,476,963,661,191,859,532,
927,132,155,870,094,335,688,394,081,369,882,930,876,193,849,710,610,568,048,
344,893,533,242,235,889,100,205,769,882,593,135,278,988,596,275,440,072,654,
127,136,894,631,561,015,401,471,861,652,771,271,380,824,179,821,532,629,929,
435,046,851,409,691,429,150,455,874,827,574,131,853,491,758,082,767,629,559,
725,888,146,432,639,810,882,567,593,290,754,593,401,045,181,670,512,787,661,
107,526,898,799,070,223,786,217,847,746,213,841,325,600,491,559,958,121,859,
390,155,395,757,636,284,487,061,541,630,511,644,099,661,307,406,509,343,324,
375,400,787,842,436,341,145,955,311,146,782,024,055,341,828,354,997,923,886,
626,344,528,853,514,328,191,380,355,791,438,560,453,225,688,803,191,722,257,
381,475,777,293,270,754,945,091,965,791,506,840,541,497,628,328,953,488,724,
131,941,613,731,093,874,211,652,388,855,536,039,476,884,680,118,967,607,878,
611,003,134,425,737,859,029,163,678,470,538,501,021,191,935,730,808,787,321,
516,619,945,183,052,472,247,174,198,127,330,908,515,328,610,985,527,305,313,
199,001,391,283,976,163,968,879,703,474,358,334,802,543,284,880,021,676,406,
077,610,062,262,661,610,745,247,233,732,306,736,352,034,195,870,139,597,799,
874,400,856,046,834,431,038,326,483,646,076,277,087,167,496,003,253,447,330,
097,542,869,069,021,870,186,139,246,871,271,704,944,731,047,804,004,285,082,
399,044,390,536,141,609,117,727,205,429,609,514,625,953,458,385,306,166,329,
803,303,827,909,740,333,301,211,209,081,168,599,193,710,657,164,958,833,826,
825,701,526,423,230,899,467,376,746,201,585,077,832,537,779,924,321,952,197,
599,810,048,084,681,302,735,964,758,011,505,078,814,036,562,516,169,987,084,
010,243,988,910,874,032,984,869,932,281,583,771,455,426,043,849,651,897,731,
293,494,919,713,434,843,033,527,147,716,342,256,922,138,880,991,979,328,465,
650,082,203,482,455,253,315,070,863,877,962,524,066,100,719,300,526,788,936,
656,482,887,543,075,711,796,708,419,229,270,446,129,424,420,842,582,226,442,
304,491,924,345,196,596,095,818,646,559,068,775,787,605,102,773,368,235,849,
814,958,664,329,292,528,195,511,889,675,012,996,244,494,317,843,701,096,006,
761,811,481,700,448,853,887,593,561,338,332,909,711,128,661,957,864,622,434,
865,143,670,495,099,105,220,136,816,056,003,815,889,187,030,910,311,595,309,
947,455,994,559,803,082,189,887,380,933,060,794,737,722,930,154,937,709,364,
489,801,706,927,162,238,646,871,807,600,126,658,987,131,584,369,710,937,413,
306,593,494,315,265,976,288,435,671,526,984,138,412,768,706,066,430,404,956,
114,626,917,489,889,470,684,867,120,760,775,942,989,384,515,512,239,721,701,
425,253,166,957,140,107,269,515,804,432,752,201,634,874,707,819,568,370,310,
820,804,801,752,154,223,418,450,023,577,998,857,380,904,213,771,626,310,691,
117,837,060,932,454,695,726,260,205,947,874,861,790,575,885,230,895,482,998,
322,582,050,911,891,725,850,055,381,983,330,162,470,511,179,590,107,193,611,
918,252,138,817,732,081,581,502,598,531,076,648,049,452,680,207,184,523,305,
396,864,973,812,737,447,049,372,479,623,393,567,000,419,562,512,100,292,278,
709,566,870,199,136,532,219,277,365,453,068,718,311,347,169,525,042,473,332,
696,314,740,225,765,480,480,676,298,569,359,912,042,422,509,684,143,042,785,
546,372,628,600,508,357,186,741,503,723,505,734,313,991,423,427,636,114,466,
532,286,810,688,248,088,576,833,791,362,533,902,473,700,255,501,236,872,670,
003,248,490,798,565,368,058,999,458,377,619,945,470,996,765,756,115,110,061,
087,382,011,050,330,446,551,507,722,938,513,278,609,708,709,449,384,488,640,
029,462,872,787,763,608,935,354,506,650,715,665,409,793,717,474,007,941,636,
444,151,738,786,930,721,398,540,403,622,929,686,218,419,568,172,161,621,623,
419,746,219,314,996,908,070,506,307,512,287,115,043,852,605,477,484,765,923,
125,882,162,243,356,319,301,085,150,344,737,726,051,103,849,489,854,898,239,
429,013,201,625,556,272,705,520,486,115,346,220,946,029,734,130,476,855,429,
365,569,462,144,963,949,422,748,936,314,669,826,525,315,402,646,030,811,062,
108,965,338,189,034,281,824,318,976,857,794,662,302,477,865,172,966,241,441,
798,277,536,625,061,522,882,842,553,486,440,915,478,189,446,138,990,180,889,
252,117,235,169,738,174,037,042,804,293,890,223,130,051,937,411,249,314,047,
652,630,323,830,610,717,720,636,274,784,744,147,977,194,177,630,194,122,849,
243,288,233,068,460,700,267,560,311,387,565,049,322,904,249,000,439,870,260,
331,118,649,662,687,804,102,216,910,183,661,047,215,585,472,815,646,567,047,
965,093,446,167,916,607,369,352,719,146,560,311,661,928,726,002,475,544,721,
923,156,328,500,053,984,697,774,626,979,990,765,520,506,660,007,736,728,817,
667,082,665,160,356,254,127,782,266,634,816,739,027,542,826,131,378,932,757,
636,524,940,765,809,591,689,942,323,580,575,463,768,327,559,761,642,848,670,
758,731,418,694,971,498,371,959,276,334,472,512,361,176,153,949,194,579,141,
956,197,377,018,818,353,293,659,102,036,269,358,330,542,483,305,515,469,086,
222,096,363,418,358,348,496,011,404,868,679,625,423,243,360,506,119,914,236,
166,195,391,502,984,586,694,730,627,262,144,141,301,347,097,624,478,715,166,
808,479,142,020,949,979,299,212,495,852,843,974,417,666,139,362,314,849,309,
223,578,350,844,692,771,651,832,776,005,330,975,983,120,645,383,483,513,829,
190,887,297,173,762,332,224,031,825,063,542,444,647,619,639,748,147,289,201,
801,478,119,082,320,264,188,086,867,586,637,131,735,431,736,708,862,254,410,
419,660,704,345,900,913,087,770,129,749,070,415,436,558,419,324,017,725,273,
449,592,026,319,190,766,951,507,094,766,078,894,534,964,953,839,788,336,390,
711,576,596,150,360,160,457,039,281,528,011,113,031,596,441,972,453,163,825,
801,059,498,565,326,576,309,679,728,259,272,355,030,618,306,874,003,739,529,
886,538,819,651,663,443,031,961,733,312,947,681,480,812,157,887,340,457,443,
776,608,430,968,514,980,943,150,538,541,982,017,677,202,108,292,973,588,209,
670,066,980,861,043,348,537,486,914,097,638,358,742,565,907,175,151,555,812,
165,915,972,720,898,829,586,837,814,137,101,334,215,041,525,197,970,841,359,
146,461,506,087,910,333,333,679,253,058,746,865,315,303,950,711,913,266,301,
218,413,254,867,709,998,706,600,416,163,019,645,162,439,941,960,891,963,555,
108,150,574,087,405,905,429,120,129,064,480,164,376,906,532,090,087,399,162,
117,562,637,084,059,397,910,258,397,355,174,744,925,602,661,562,762,419,418,
591,253,464,995,300,421,822,002,546,552,440,861,028,336,312,162,194,746,369,
712,036,633,221,011,248,663,302,988,917,945,817,679,197,902,156,093,834,000,
784,434,017,159,683,786,935,298,751,678,452,188,076,717,402,474,835,156,988,
406,796,425,330,377,720,785,550,333,405,461,917,485,750,422,896,464,143,948,
651,416,169,312,579,870,065,219,660,053,175,360,637,252,079,489,917,526,602,
804,922,845,801,867,354,429,257,827,014,576,405,477,676,014,994,915,549,239,
562,870,372,341,886,701,383,661,943,722,383,689,908,985,876,224,985,668,177,
491,083,685,435,546,969,190,421,752,443,131,712,994,214,537,870,371,737,662,
186,783,466,111,300,542,959,000,836,950,336,660,763,774,466,886,392,646,798,
357,062,910,001,072,234,845,158,061,678,847,534,758,101,527,657,845,445,443,
879,072,784,213,424,312,543,938,973,807,253,385,071,803,846,383,521,799,781,
731,013,877,094,322,482,536,707,913,589,420,289,592,847,800,845,707,598,371,
823,303,468,301,134,916,883,460,993,977,028,507,048,245,949,102,884,423,922,
048,061,541,146,127,916,702,540,475,702,751,399,737,237,817,045,540,769,648,
218,624,243,657,716,090,892,712,872,224,737,955,214,004,839,511,099,736,271,
172,594,678,884,417,263,616,941,905,306,174,874,353,353,170,104,819,122,685,
933,578,473,862,911,511,334,663,809,166,721,718,961,259,576,932,292,181,380,
604,867,553,654,197,090,995,378,020,804,991,231,089,553,389,119,565,385,672,
790,842,166,100,948,845,485,525,686,703,541,394,457,207,012,785,943,609,940,
035,572,525,646,140,992,061,366,015,955,708,644,081,899,246,643,125,540,884,
574,947,659,496,391,929,281,098,316,296,635,034,457,188,713,885,862,626,317,
388,290,698,367,562,111,769,057,363,386,688,719,360,441,342,732,497,234,023,
025,901,594,306,079,697,375,061,911,113,641,753,266,045,580,057,988,455,777,
656,994,117,901,944,798,765,555,864,723,147,606,879,457,504,481,587,717,012,
304,631,907,398,362,793,983,285,859,038,128,720,990,538,155,059,344,773,859,
380,817,239,811,371,485,087,396,116,122,518,659,063,597,648,084,963,215,524,
456,407,319,933,934,263,679,746,349,152,836,520,424,995,371,103,460,376,677,
671,700,750,558,776,310,887,175,468,570,713,680,151,240,613,603,822,665,523,
858,925,790,374,940,104,197,781,193,170,775,375,498,244,320,291,094,684,402,
222,031,334,780,345,082,594,497,981,160,615,193,614,346,432,469,335,408,922,
090,001,333,484,796,283,687,594,774,132,436,515,175,785,703,389,277,696,128,
862,308,479,280,533,552,063,854,274,882,057,302,744,996,205,161,969,816,655,
296,649,026,766,685,009,298,110,085,132,692,849,980,896,943,084,537,889,909,
115,150,641,641,350,610,121,015,120,557,061,484,541,711,665,187,193,956,778,
873,820,043,934,093,898,540,927,172,403,119,994,627,721,032,792,784,982,274,
630,989,745,663,980,196,035,846,305,844,988,913,747,407,084,485,866,197,784,
943,192,129,413,033,082,566,549,748,671,091,027,480,390,951,802,757,460,991,
813,533,470,435,879,404,599,065,717,510,026,830,730,074,633,542,198,724,918,
012,734,446,676,758,270,531,928,200,069,797,669,874,751,629,379,090,063,323,
079,083,686,500,176,376,173,801,867,105,613,422,819,661,893,891,822,547,644,
764,078,161,159,291,869,027,974,512,457,945,487,148,672,395,273,265,471,671,
925,672,863,081,542,505,607,307,896,163,367,750,341,528,100,052,999,422,245,
165,607,221,843,350,137,076,823,759,789,960,716,851,866,428,351,254,157,080,
435,355,314,497,766,029,595,744,383,765,999,389,588,738,431,158,281,868,785,
542,395,011,060,101,814,041,490,550,685,264,857,052,362,744,251,184,856,471,
035,993,499,314,503,479,028,206,297,323,079,284,584,066,878,013,830,601,504,
884,577,917,864,945,431,900,277,003,894,712,154,000,211,617,370,041,539,245,
289,316,212,212,209,742,769,158,748,964,683,660,673,364,866,987,276,660,494,
545,099,912,658,219,554,335,651,162,352,717,321,266,557,220,002,649,462,219,
962,186,198,001,015,098,435,359,701,419,186,318,581,813,595,623,103,902,903,
294,483,515,187,743,804,616,492,802,203,395,667,790,661,550,078,044,426,404,
170,840,128,906,619,723,725,833,816,671,429,233,143,808,118,240,010,907,098,
810,276,364,347,437,533,093,327,857,029,411,869,021,855,732,953,212,993,401,
047,347,612,718,370,165,091,127,398,145,701,677,784,313,377,722,606,373,785,
726,250,085,141,007,613,998,908,341,856,291,868,645,242,844,995,962,249,641,
424,029,435,687,706,941,720,177,482,264,661,415,292,853,837,076,841,586,354,
236,942,916,602,780,753,906,743,388,131,867,455,501,528,819,116,169,067,329,
273,556,547,117,890,497,189,486,153,304,446,617,444,970,341,833,937,516,228,
660,175,405,405,683,772,492,700,630,284,621,071,378,973,815,188,214,007,800,
810,411,924,279,492,602,742,016,043,576,652,957,989,247,019,499,677,992,383,
713,938,082,019,502,331,770,561,406,119,697,568,810,514,760,953,343,595,687,
098,194,099,187,560,527,672,682,037,352,372,183,935,525,461,771,327,904,010,
675,466,735,275,877,576,025,842,898,746,674,493,630,649,599,649,446,309,067,
793,105,576,179,365,346,571,802,290,672,031,845,525,044,853,311,546,587,945,
240,373,669,833,433,464,928,696,479,542,403,823,795,504,246,529,353,668,617,
935,407,637,509,222,296,967,396,025,825,473,957,711,223,197,866,462,201,906,
120,310,303,336,618,967,571,483,538,607,763,518,141,830,691,699,575,343,283,
922,615,488,562,616,304,407,109,269,000,790,526,799,094,525,726,760,157,778,
649,136,686,278,533,266,929,223,439,153,465,851,856,868,688,788,896,894,715,
177,779,767,339,755,768,747,836,096,790,129,894,636,264,757,120,705,504,689,
602,931,052,060,975,448,215,681,397,003,783,104,034,205,720,034,161,840,938,
678,035,640,073,382,570,677,949,975,216,367,528,963,537,704,835,208,016,401,
330,072,389,899,514,849,912,321,814,761,217,681,496,248,135,750,054,918,811,
589,628,355,238,083,924,546,460,202,933,040,304,389,770,286,889,837,730,718,
896,455,414,252,778,437,363,412,349,951,956,673,247,685,621,327,536,865,831,
608,957,446,419,436,621,817,978,918,887,598,189,543,912,157,194,079,306,377,
942,444,158,811,012,362,451,975,130,744,279,744,023,950,618,329,378,324,298,
379,576,022,136,719,896,721,004,276,124,165,736,719,348,207,378,448,352,270,
282,694,462,949,074,582,458,125,516,785,903,015,816,592,876,276,426,278,468,
046,133,941,242,657,978,492,749,360,585,414,347,538,206,697,585,584,141,825,
763,516,574,557,212,244,239,842,280,664,415,779,828,370,681,967,331,017,380,
881,258,413,543,457,491,821,980,270,485,594,067,128,957,191,083,732,748,859,
939,843,682,606,137,565,225,578,517,302,937,062,170,489,068,487,060,799,787,
033,670,021,241,845,770,736,245,282,417,898,068,252,160,137,834,922,809,141,
675,986,671,825,707,082,121,639,230,904,203,702,783,289,062,224,384,556,946,
604,934,454,391,464,626,065,588,015,502,700,333,232,213,553,403,275,087,811,
842,292,479,704,110,167,088,956,061,806,213,533,598,432,965,709,647,166,999,
505,831,236,666,054,275,602,406,667,088,904,486,100,139,909,589,718,592,009,
474,285,108,398,177,747,912,482,200,896,111,437,549,573,257,558,973,467,980,
420,317,225,645,623,550,035,305,749,178,380,101,875,710,089,688,611,333,441,
819,662,910,185,655,542,284,428,885,855,345,006,493,504,205,798,314,825,762,
571,565,502,653,774,207,123,711,520,037,528,063,273,749,734,410,760,205,506,
546,285,700,682,502,553,578,852,883,674,907,427,575,791,179,577,789,391,624,
592,540,326,623,570,052,568,914,146,538,867,898,490,122,276,223,210,085,932,
788,058,401,346,646,618,188,453,313,591,190,058,647,733,926,533,843,257,998,
209,628,023,681,193,575,468,080,690,715,602,193,312,744,843,143,799,036,181,
934,159,194,800,785,032,036,839,496,885,618,294,131,449,577,539,823,738,733,
198,880,294,608,529,943,146,048,787,404,013,254,786,487,381,805,527,325,229,
163,472,030,980,200,728,016,043,278,236,418,102,562,704,711,727,505,856,710,
674,328,796,907,733,422,369,456,730,023,063,397,858,942,510,422,020,080,186,
274,222,232,138,966,204,419,855,625,390,445,267,457,367,888,335,638,362,665,
584,632,357,617,949,105,799,135,358,769,477,255,094,621,592,333,202,700,689,
988,006,950,288,561,309,405,960,760,566,997,221,488,418,528,437,984,932,839,
075,736,451,880,323,195,509,829,434,457,599,249,493,319,789,524,487,118,980,
414,230,940,315,685,595,205,838,763,851,815,681,189,676,171,137,623,490,934,
290,877,693,180,813,981,989,794,968,455,142,501,985,365,928,605,250,178,745,
188,143,074,973,321,074,631,767,645,811,596,773,803,848,819,320,373,097,520,
246,876,604,509,401,899,473,883,272,720,123,951,939,952,281,477,966,009,065,
051,720,872,729,270,117,950,926,285,207,325,717,086,877,888,938,318,666,575,
295,134,575,299,862,230,513,580,051,275,161,876,767,541,122,014,737,398,123,
266,478,412,666,502,087,899,639,036,332,982,480,831,641,910,457,352,367,319,
943,385,930,325,055,196,637,930,072,964,022,164,568,845,311,823,953,616,963,
204,503,972,270,629,239,801,620,429,355,879,760,160,913,376,775,104,278,124,
005,429,204,584,266,330,110,418,065,590,797,846,845,588,383,859,837,116,886,
735,071,549,406,815,980,288,457,977,231,848,101,013,374,333,781,135,848,562,
376,108,286,033,266,397,528,405,937,905,469,617,228,608,884,622,007,115,627,
714,047,426,041,995,936,336,083,709,027,509,457,576,131,631,786,262,400,391,
252,128,407,570,077,228,320,196,956,794,354,145,322,829,778,370,121,437,953,
032,571,480,558,615,068,707,332,147,047,522,386,664,152,569,623,199,331,038,
340,020,752,244,972,225,512,830,410,442,265,449,619,837,249,191,921,954,602,
631,390,593,730,661,737,125,862,589,263,950,233,025,161,524,904,477,571,331,
675,188,932,636,837,237,503,602,144,576,377,983,455,488,166,967,323,712,499,
175,480,123,349,665,372,458,518,292,562,127,888,925,835,981,106,419,573,140,
673,065,897,478,827,614,846,772,778,670,577,806,663,414,489,598,242,027,344,
734,126,236,344,143,914,539,116,491,413,430,939,374,541,013,200,604,283,193,
242,024,066,482,796,681,389,255,416,656,303,989,869,275,878,225,798,348,783,
799,051,015,686,139,390,559,736,116,760,895,824,274,351,570,903,935,163,527,
219,696,916,661,353,324,259,730,415,951,389,310,928,083,598,851,732,301,777,
816,170,257,990,266,547,990,293,943,847,799,413,174,414,302,619,628,374,242,
734,991,965,881,938,954,154,541,078,323,401,317,518,188,417,548,568,777,271,
374,812,439,155,508,012,185,188,858,832,165,693,683,780,203,172,295,978,315,
338,416,617,901,025,246,139,095,153,864,014,696,065,516,347,267,899,060,836,
428,242,111,373,622,271,886,035,078,547,185,900,349,946,014,106,903,826,326,
456,622,761,370,625,048,152,144,761,212,524,708,851,772,235,930,920,103,177,
235,217,881,829,124,177,311,230,957,513,383,709,531,684,663,565,073,793,994,
801,914,746,152,496,335,245,696,709,938,550,200,209,679,023,479,932,429,245,
710,972,963,576,804,044,579,742,297,840,249,323,084,810,811,000,568,754,644,
801,051,446,634,629,549,996,928,322,991,023,030,129,517,704,212,704,674,883,
819,901,170,291,049,527,431,360,620,363,162,084,804,268,610,831,895,393,937,
371,039,985,279,541,822,003,345,694,989,869,136,237,138,766,817,120,352,343,
280,072,181,828,122,928,318,533,121,348,656,206,803,898,305,926,573,615,224,
636,095,893,546,282,276,336,052,169,943,560,179,896,328,936,814,039,403,378,
468,033,367,540,484,379,228,667,648,763,303,008,258,521,409,635,552,253,104,
582,171,475,706,251,057,869,911,984,810,871,212,387,269,348,012,077,041,071,
886,832,220,523,248,493,482,311,186,036,802,510,128,365,876,075,856,232,861,
158,446,859,115,032,265,006,015,830,128,360,135,537,149,881,698,860,039,092,
345,501,955,616,545,523,174,156,331,320,749,629,744,090,266,854,551,424,905,
147,021,033,006,539,774,916,133,185,935,689,513,345,274,182,705,099,216,614,
957,866,757,019,015,226,705,706,600,431,617,969,804,003,942,773,629,913,642,
627,994,485,883,341,068,018,264,202,043,939,410,861,111,386,215,982,165,515,
675,212,013,877,027,147,004,804,275,695,355,731,455,709,883,192,993,490,445,
127,799,747,962,874,254,174,075,557,258,155,182,142,056,456,684,936,101,727,
513,934,318,091,639,815,910,018,184,006,465,606,144,721,561,229,841,925,789,
412,415,685,870,270,824,847,812,884,950,917,460,542,175,200,257,512,700,794,
332,084,410,197,562,369,362,048,083,281,263,760,630,593,784,077,580,250,545,
503,033,842,226,792,153,060,958,388,029,306,745,478,539,447,400,685,537,964,
379,744,792,262,933,994,334,223,074,877,378,257,513,889,568,192,935,625,430,
718,813,137,723,265,022,028,341,553,306,051,701,192,120,553,363,042,714,799,
461,604,289,384,261,523,422,987,485,515,105,615,757,823,063,745,295,214,291,
209,132,507,716,987,729,014,050,748,761,165,114,833,697,878,523,534,444,870,
304,187,826,370,643,336,913,275,625,767,852,700,008,924,030,931,428,471,491,
977,589,857,221,336,044,104,132,121,142,491,869,706,656,720,225,364,383,987,
057,000,533,992,334,810,482,940,280,832,796,372,863,593,174,696,984,853,274,
250,736,448,582,137,421,425,546,906,061,657,311,458,754,243,700,863,362,633,
237,875,136,662,601,646,327,886,350,887,343,610,786,157,559,589,576,077,394,
657,781,205,203,661,245,435,926,784,014,779,686,769,877,045,349,097,665,862,
290,063,625,099,266,865,291,001,881,924,590,797,452,755,075,028,076,439,051,
701,286,255,111,586,398,780,319,051,936,569,045,502,300,364,515,421,001,686,
932,946,056,924,540,054,435,484,076,815,279,218,380,946,836,804,016,658,862,
865,391,751,173,620,733,693,514,320,635,812,109,573,920,509,236,663,608,144,
524,900,520,019,517,769,153,346,904,863,914,838,920,768,268,935,734,362,306,
611,125,779,589,392,520,036,635,053,958,550,717,592,625,905,206,884,974,015,
391,441,317,153,898,273,449,602,692,248,305,799,149,070,544,227,319,462,062,
669,719,796,671,591,715,508,673,429,906,639,874,940,041,688,603,395,503,111,
108,571,258,419,746,747,330,003,299,871,859,495,705,665,742,330,971,740,877,
378,669,886,785,084,424,342,966,086,982,002,084,864,099,849,258,983,203,934,
093,948,618,304,150,446,238,974,673,989,891,040,270,895,011,896,811,592,332,
213,288,916,033,715,727,804,537,337,283,722,272,470,092,261,225,918,478,679,
292,805,435,856,652,478,952,471,668,057,039,707,863,246,155,470,375,700,379,
943,196,458,364,895,487,623,758,546,146,120,371,202,973,917,194,011,601,701,
293,820,840,649,105,789,052,380,924,444,026,935,967,691,576,204,720,574,171,
977,081,710,146,034,737,021,956,362,802,310,819,762,206,808,868,991,475,382,
452,226,575,547,392,109,682,124,511,833,258,921,333,402,993,040,070,868,810,
891,311,193,579,407,872,064,919,970,795,313,031,073,859,325,815,291,445,598,
167,530,569,172,608,601,106,027,308,038,747,474,720,996,347,048,267,617,075,
047,920,329,462,188,564,758,287,983,904,433,583,796,634,039,434,828,123,233,
953,808,359,868,227,127,881,785,788,790,638,281,345,970,195,780,325,972,572,
290,633,541,648,189,571,195,377,278,075,002,274,044,011,758,101,506,590,791,
336,836,466,820,008,502,701,540,770,252,029,023,384,080,724,325,281,556,160,
208,851,262,924,810,781,257,930,256,794,549,882,116,129,540,156,371,315,989,
992,614,603,768,695,003,702,203,480,180,247,568,892,501,563,531,611,470,637,
235,443,174,106,532,613,491,728,826,637,418,609,148,385,422,193,172,473,993,
481,801,249,538,238,823,198,884,842,020,456,453,430,089,515,765,067,578,827,
544,181,131,507,437,274,146,759,840,257,666,140,035,748,504,612,009,259,379,
806,272,742,652,769,752,868,719,708,611,288,161,166,851,242,544,701,176,664,
961,972,398,408,869,633,137,155,114,720,975,818,199,730,725,271,933,685,997,
370,006,830,190,591,403,295,630,005,111,455,586,844,196,432,281,240,626,900,
560,056,932,709,195,292,120,614,177,801,065,447,088,468,581,486,769,395,590,
313,486,116,012,703,574,983,595,556,972,098,310,409,858,535,068,658,790,125,
956,229,655,049,090,940,871,835,186,403,462,617,483,964,820,606,053,321,254,
565,625,697,938,522,063,695,743,361,462,774,790,505,793,666,459,313,135,863,
822,514,713,070,829,631,221,865,240,816,174,809,325,826,719,942,380,876,133,
572,634,763,111,122,145,992,181,400,758,292,630,920,242,014,618,727,866,465,
504,558,223,065,397,018,578,114,608,552,969,302,261,372,472,558,221,907,973,
470,437,385,116,573,799,175,624,940,415,205,303,842,586,913,813,923,925,548,
956,230,985,493,621,425,972,234,010,949,893,364,019,847,632,516,667,588,890,
225,379,389,217,870,397,841,307,760,237,786,041,868,850,869,134,726,265,328,
219,616,655,104,995,833,271,704,742,281,030,939,161,240,428,973,306,363,155,
359,801,916,655,186,457,850,530,008,818,553,328,165,642,342,882,762,718,067,
044,261,415,389,339,776,983,351,308,438,927,003,865,605,475,270,566,113,324,
603,787,469,370,665,342,861,312,369,737,068,565,652,193,248,549,956,759,780,
802,164,328,325,885,700,707,754,661,470,654,274,790,057,636,138,071,936,653,
383,432,015,643,824,104,471,226,837,795,086,261,849,515,311,037,493,170,208,
306,043,964,328,426,706,161,020,504,438,005,953,689,632,238,866,397,155,997,
841,088,335,270,780,159,904,979,933,408,243,079,268,263,614,171,560,350,855,
611,137,962,523,050,721,276,098,047,190,649,241,211,416,787,799,313,117,051,
116,559,224,454,918,034,594,357,559,658,669,149,010,391,341,235,527,541,187,
175,560,639,113,390,960,772,401,602,370,195,297,293,939,811,244,822,411,035,
044,708,882,364,912,956,650,770,665,072,002,605,232,855,044,465,365,174,296,
332,304,496,217,746,584,625,565,499,693,778,764,756,262,753,270,609,148,428,
546,889,298,208,715,971,056,916,410,829,187,142,423,688,328,768,065,466,067,
537,235,517,240,619,143,846,825,311,112,028,178,896,892,637,466,325,403,715,
351,752,662,329,818,933,371,175,580,051,552,854,969,350,011,599,275,527,923,
159,917,956,455,139,074,093,982,812,176,285,753,604,529,366,303,403,053,678,
655,241,463,668,322,553,830,233,213,278,809,921,931,825,446,377,621,721,904,
091,229,904,092,757,612,470,219,960,298,250,318,954,898,551,877,810,431,920,
067,822,978,039,543,312,998,533,897,739,165,731,904,206,523,775,814,703,380,
813,164,537,431,471,457,554,909,209,486,578,303,875,985,880,629,277,306,161,
993,619,469,517,139,824,204,959,578,309,237,377,894,532,871,178,832,711,157,
696,485,745,711,451,163,549,815,455,475,810,793,895,805,142,136,402,755,832,
636,293,432,317,247,617,853,230,528,778,874,852,237,263,382,117,484,846,744,
546,667,701,329,602,057,504,442,226,797,756,103,110,270,006,850,880,564,239,
587,035,101,491,002,998,389,039,224,791,737,354,420,830,070,935,130,650,232,
940,722,743,215,394,841,593,429,679,832,536,118,830,761,411,556,427,321,409,
049,659,359,432,543,940,597,028,847,071,179,836,732,857,551,342,070,094,968,
100,219,782,962,478,228,942,462,785,687,613,403,741,981,173,865,004,115,628,
397,440,949,960,403,638,091,051,504,933,441,113,863,470,592,740,519,136,468,
046,229,938,726,994,140,844,661,775,559,240,710,314,801,061,750,919,066,837,
674,491,049,708,026,447,936,404,179,306,489,977,000,673,534,774,823,682,110,
328,451,384,436,631,484,984,094,571,178,359,796,954,669,794,071,720,537,238,
929,077,011,892,616,682,974,062,414,925,798,459,890,189,044,650,193,735,565,
032,630,299,684,364,749,375,492,957,155,845,497,933,657,974,313,803,725,661,
070,305,180,132,744,398,983,786,592,733,345,150,364,084,947,060,392,136,346,
513,768,615,352,257,530,163,789,600,575,588,004,132,833,476,046,096,520,506,
760,853,809,429,309,441,260,742,971,335,714,547,402,649,667,857,286,809,399,
180,034,662,539,574,904,146,249,811,114,270,362,234,288,381,203,150,734,045,
902,602,172,466,615,045,581,638,782,175,184,091,865,833,698,747,274,499,344,
496,225,115,638,641,100,677,560,265,370,139,524,712,076,580,205,721,265,679,
301,588,264,731,926,737,542,769,294,341,549,544,891,945,981,415,280,190,822,
093,067,788,750,092,412,645,324,260,642,395,989,553,781,834,474,005,426,282,
924,320,421,556,076,647,154,491,848,518,653,383,023,291,346,164,996,325,225,
312,276,939,784,178,924,929,269,387,449,312,804,671,327,810,906,897,462,510,
135,579,383,945,244,642,034,123,848,953,748,689,030,171,636,381,185,462,789,
445,043,121,621,559,928,450,271,260,754,071,659,062,433,317,179,989,860,954,
036,711,080,543,741,717,492,770,925,367,251,825,875,032,342,112,745,396,060,
327,496,339,352,680,798,508,751,692,789,697,151,781,698,434,939,117,154,283,
226,110,528,449,637,362,387,300,558,839,387,555,124,951,488,943,200,573,264,
003,697,446,257,702,922,378,627,388,684,055,897,664,368,897,907,888,683,975,
964,508,246,900,839,194,178,801,425,563,731,558,570,471,353,544,572,993,393,
607,038,836,293,650,973,298,242,202,583,571,264,204,395,692,291,832,368,892,
669,448,167,393,580,976,011,770,183,510,300,924,549,173,603,231,269,036,454,
000,681,846,554,684,163,154,199,144,795,288,400,921,951,165,381,558,126,510,
093,044,924,931,773,354,579,151,490,785,576,165,281,453,569,511,630,777,452,
385,954,503,307,401,372,600,262,009,144,571,889,151,919,248,781,074,060,024,
156,171,173,416,076,527,565,421,862,310,087,638,745,447,211,799,403,924,497,
682,776,248,001,554,702,265,184,907,608,188,541,782,041,872,639,632,691,464,
335,087,393,246,651,090,212,818,414,311,122,539,398,944,429,835,469,993,493,
924,320,472,008,609,510,362,785,588,734,936,657,940,610,854,245,528,259,059,
919,485,832,697,080,031,384,694,016,582,230,574,443,174,553,830,321,607,622,
899,355,123,179,277,650,120,529,898,244,186,067,025,900,653,174,195,166,128,
960,351,838,359,237,311,314,403,411,913,094,947,379,234,509,310,721,163,180,
120,879,713,183,481,672,147,564,552,570,456,034,456,930,392,071,520,268,328,
609,305,842,300,701,609,142,681,272,717,882,270,304,380,019,648,464,275,469,
494,794,511,612,252,340,890,570,539,832,019,183,742,813,373,497,886,133,795,
616,159,355,997,049,282,382,555,432,508,231,087,177,033,764,638,966,236,506,
923,876,044,411,618,116,768,260,724,401,705,544,693,225,047,563,985,966,971,
680,159,541,526,633,246,404,339,418,055,747,258,895,094,232,864,340,409,401,
164,706,927,094,819,829,726,736,023,183,811,463,962,871,074,170,875,643,026,
393,998,584,919,386,398,937,053,638,711,993,617,576,432,663,440,246,816,801,
156,737,440,788,434,986,188,696,767,201,010,702,966,950,820,315,578,935,604,
029,098,743,898,575,312,941,473,251,753,722,571,391,195,078,738,579,208,574,
510,684,200,114,110,188,601,345,434,677,145,448,153,788,246,729,725,595,064,
516,887,951,939,114,696,590,980,146,271,985,647,697,023,481,732,360,480,968,
407,266,482,534,998,175,491,884,429,606,470,102,681,943,259,141,497,550,509,
297,164,995,181,261,601,199,802,100,700,614,085,881,237,304,209,755,652,164,
409,737,364,227,043,939,922,721,926,806,179,991,934,127,804,435,463,227,209,
118,400,170,526,875,709,171,566,903,339,951,299,795,961,005,746,689,080,841,
331,204,455,985,872,731,738,221,138,894,704,494,414,366,447,470,412,865,814,
397,634,836,352,798,781,335,629,587,073,024,801,153,981,757,629,865,263,784,
092,034,042,762,594,001,612,066,087,746,230,382,848,933,605,682,439,960,386,
696,769,913,632,107,637,748,904,112,132,751,475,449,541,037,919,885,111,294,
901,604,487,365,273,804,628,809,778,538,582,071,708,234,071,093,821,176,144,
244,486,185,777,430,494,685,760,404,107,017,555,174,569,275,869,549,720,393,
644,376,375,224,829,409,339,112,713,474,156,590,292,804,787,369,806,056,854,
160,980,002,932,996,909,026,133,427,767,833,095,222,997,417,258,169,994,751,
614,072,671,102,594,023,107,222,214,438,847,699,291,151,536,006,196,477,145,
505,338,559,523,151,230,930,486,514,587,309,738,075,268,707,504,141,723,802,
852,496,186,423,830,572,120,270,071,495,029,502,810,443,657,379,427,658,697,
280,324,351,746,804,899,754,781,239,351,373,926,964,247,356,665,489,784,393,
980,004,604,854,979,839,894,243,549,550,221,786,504,535,753,425,428,553,274,
382,785,292,094,232,299,057,563,020,061,497,256,985,721,238,983,339,716,330,
919,521,181,347,964,941,481,114,226,046,151,253,733,949,440,867,701,426,907,
043,887,017,332,100,357,843,782,541,194,243,244,325,368,554,124,501,141,685,
728,314,633,005,621,165,896,941,953,502,094,292,092,971,807,268,034,467,600,
595,561,562,967,069,330,525,593,371,617,826,940,955,161,270,808,134,716,996,
137,998,111,547,167,097,687,582,859,218,014,340,688,309,340,683,879,444,653,
672,913,305,779,722,774,738,943,465,534,040,352,236,024,415,032,128,918,917,
831,248,496,486,392,335,688,826,252,198,933,869,096,265,548,242,342,300,973,
160,405,789,237,188,010,994,346,125,899,853,511,042,631,217,110,498,562,782,
868,591,322,143,625,772,605,658,613,227,288,692,912,049,776,352,941,603,841,
061,389,071,552,903,404,199,139,306,278,955,992,087,203,452,201,955,185,769,
020,449,779,321,375,185,807,086,214,481,835,425,127,283,709,968,052,084,029,
013,738,359,822,469,147,826,255,650,108,870,224,543,655,716,268,142,175,820,
807,301,341,777,181,142,853,171,834,421,245,042,838,871,177,494,261,489,708,
537,616,437,380,518,086,886,919,294,838,376,750,387,086,310,423,853,276,981,
497,942,847,530,101,213,033,857,557,026,122,682,017,347,584,230,560,930,731,
516,286,213,936,467,713,126,045,064,896,473,861,746,946,850,860,064,674,233,
653,167,460,059,026,509,503,142,427,282,907,633,524,960,813,562,143,399,594,
915,025,079,612,209,879,325,431,598,693,254,572,315,040,080,622,832,386,023,
045,321,400,039,227,549,476,423,203,589,083,540,914,148,402,161,809,001,339,
583,094,860,275,855,216,085,669,847,470,309,504,677,448,228,250,262,879,763,
594,236,804,001,077,221,208,175,849,179,806,402,113,952,090,448,810,032,064,
245,078,974,295,686,827,879,230,859,765,947,291,158,605,085,612,000,142,730,
921,971,704,459,395,052,794,434,644,639,816,985,834,928,764,996,510,008,321,
445,918,438,711,585,901,956,272,166,887,754,440,089,029,308,298,188,123,712,
710,945,413,190,869,989,852,777,036,121,552,118,332,502,276,104,897,249,840,
472,914,124,065,231,568,869,175,024,289,035,309,727,929,907,850,168,168,593,
254,317,887,937,402,766,314,552,111,558,935,641,573,341,689,021,001,669,971,
903,781,857,570,609,326,074,165,315,415,147,175,235,409,618,592,871,269,754,
528,006,124,251,912,353,958,811,375,047,263,357,184,557,566,286,920,088,714,
310,775,676,503,928,592,669,478,255,359,897,364,804,834,888,704,107,135,392,
914,062,061,465,240,351,577,712,678,350,323,009,431,195,782,373,537,857,841,
628,246,400,054,568,048,888,341,213,025,345,444,523,764,051,393,472,520,280,
556,304,632,264,489,733,437,436,480,321,096,677,268,922,109,641,570,130,952,
525,353,928,222,777,317,671,772,693,048,987,138,263,567,738,615,552,195,152,
290,686,133,956,720,401,176,244,484,872,313,370,858,504,869,759,812,555,715,
340,671,290,743,983,551,736,036,090,627,726,650,654,880,622,609,945,598,687,
309,189,642,142,105,917,661,953,385,160,184,405,077,638,717,951,243,939,146,
333,660,667,312,611,542,151,506,694,787,540,851,789,408,828,495,876,253,390,
259,238,680,312,419,563,551,195,049,772,010,510,701,174,927,885,982,319,578,
301,341,880,288,171,946,057,952,192,612,604,309,591,287,415,124,058,712,166,
170,122,779,541,686,039,325,067,982,740,612,027,531,662,047,502,109,116,214,
166,620,914,621,742,873,631,241,517,028,590,839,385,244,859,684,498,292,902,
307,821,951,751,422,436,499,689,966,158,904,611,809,863,512,805,784,417,275,
174,402,393,924,158,675,745,494,155,319,834,521,183,702,259,507,600,838,351,
653,826,581,810,346,191,149,126,427,304,141,790,938,669,048,638,414,330,769,
619,036,469,161,975,245,558,503,009,251,406,509,252,808,997,463,430,179,465,
779,903,714,511,165,377,279,878,986,181,148,700,375,572,052,777,719,157,450,
183,870,920,965,892,475,377,663,373,667,444,214,006,022,833,536,917,409,212,
013,996,040,557,788,307,446,545,651,000,055,847,860,048,652,933,132,724,164,
466,277,186,394,529,478,649,661,128,731,240,108,734,393,276,565,882,021,824,
559,469,807,194,702,997,771,673,058,287,030,474,925,706,138,588,897,698,871,
072,356,681,472,700,719,897,205,556,449,441,077,046,413,007,708,344,594,700,
198,747,748,232,920,121,072,364,400,006,652,052,531,334,336,021,528,879,137,
439,684,515,072,611,294,614,261,543,716,454,335,205,646,459,337,125,586,049,
996,593,740,054,790,392,103,095,691,741,925,346,297,782,027,668,627,941,515,
443,570,425,097,351,791,389,408,733,706,102,244,793,632,063,954,776,396,509,
345,001,607,846,222,371,359,220,586,528,185,010,695,657,010,140,228,361,669,
594,183,362,931,566,559,874,534,885,619,633,621,808,701,250,712,034,868,208,
777,298,670,513,189,216,257,172,088,479,927,469,421,399,508,421,371,038,028,
596,535,138,868,802,071,964,538,350,283,499,131,365,633,476,247,530,804,823,
294,338,573,624,358,830,550,526,302,878,276,601,876,684,732,366,341,357,131,
196,735,365,431,343,360,254,169,673,178,350,331,542,119,782,147,093,379,918,
687,046,718,889,788,546,971,138,316,643,941,672,115,582,792,408,111,135,661,
283,882,443,009,154,532,469,902,293,109,876,782,367,881,992,148,613,214,931,
671,110,516,934,682,318,199,890,255,310,887,662,434,034,366,721,764,179,366,
948,113,919,866,630,817,674,750,830,516,282,208,539,890,093,889,723,716,863,
205,936,773,014,559,143,968,862,473,224,014,880,426,779,335,094,291,093,078,
558,743,155,410,206,590,848,090,875,126,726,817,973,657,278,205,866,260,378,
753,749,733,917,450,955,433,589,629,924,581,848,623,567,991,920,034,913,829,
363,596,378,305,282,071,553,294,412,931,933,213,022,548,448,217,166,810,873,
754,165,106,266,818,827,498,500,894,423,604,844,679,258,108,058,363,798,456,
837,414,021,751,245,573,520,636,506,325,452,869,869,169,370,510,564,768,418,
339,521,407,699,374,961,061,395,869,281,794,827,477,588,013,063,663,580,161,
019,804,920,398,031,514,110,562,458,005,250,238,456,118,070,471,548,865,428,
003,041,499,973,867,395,204,657,432,022,766,507,775,551,985,929,339,248,943,
398,104,913,879,558,007,007,619,913,349,065,803,878,199,262,919,317,067,310,
083,682,098,959,422,905,122,732,499,654,121,754,104,177,800,376,738,475,160,
079,890,935,400,434,764,170,275,992,126,470,210,682,670,017,448,244,728,870,
842,652,882,251,500,023,124,273,918,998,404,966,218,004,975,083,639,259,157,
922,820,935,772,588,788,329,107,620,640,781,076,421,457,299,911,420,199,430,
734,737,604,548,321,190,739,864,597,927,993,343,306,523,580,765,868,728,601,
739,408,346,750,052,998,276,838,558,302,682,518,944,333,572,310,686,885,899,
184,637,290,841,259,372,440,270,621,194,883,541,544,704,750,801,303,394,936,
245,599,217,951,775,502,619,957,409,837,267,152,753,565,861,926,587,279,397,
432,319,965,605,890,064,936,128,611,389,567,723,823,424,343,642,514,824,225,
611,071,421,488,407,088,679,005,059,811,683,467,331,299,413,114,175,131,263,
898,480,584,806,098,164,036,382,791,792,404,701,932,016,179,749,724,921,451,
026,621,763,473,424,993,486,683,511,812,290,020,991,862,778,930,110,505,119,
262,107,994,097,385,397,291,722,708,962,155,321,599,502,216,395,419,029,686,
443,154,086,909,360,182,928,166,448,420,873,937,184,940,910,649,668,798,214,
728,620,941,573,826,348,920,632,183,739,569,592,760,572,451,003,412,715,116,
528,596,515,216,005,837,112,162,556,150,158,278,325,112,323,511,436,584,022,
953,915,690,523,112,407,046,534,119,757,468,025,084,475,212,058,949,275,333,
979,779,891,833,220,476,750,291,931,288,014,096,056,780,999,853,629,996,432,
304,555,726,097,924,034,950,538,763,951,779,928,485,590,097,643,751,901,906,
214,802,622,638,381,876,886,195,542,645,262,090,685,016,245,220,377,468,822,
329,990,509,494,199,749,722,913,750,863,125,743,593,297,253,088,243,144,225,
440,248,524,169,743,742,119,755,117,682,329,326,357,778,917,887,743,220,602,
894,607,201,893,041,154,089,503,588,204,404,449,675,495,720,358,266,169,699,
466,036,922,169,235,932,507,433,748,461,510,108,001,831,494,056,339,438,714,
166,806,176,768,322,881,159,244,146,799,994,759,113,611,651,421,051,886,278,
055,948,237,523,587,645,166,935,570,364,129,239,851,777,177,326,731,303,267,
238,246,220,566,971,466,258,555,392,539,023,125,395,265,864,114,672,810,456,
005,454,385,865,346,488,035,044,688,433,070,121,173,238,781,604,086,736,151,
039,450,869,950,206,291,954,823,744,743,021,349,227,031,351,461,750,074,268,
603,536,900,817,318,633,210,523,662,491,854,151,815,863,256,647,886,200,971,
253,894,876,040,715,591,833,020,406,274,294,002,955,048,407,964,787,871,255,
526,596,079,897,184,976,170,588,398,213,740,243,667,885,508,679,659,267,238,
661,002,427,557,815,901,438,595,557,771,895,831,196,162,549,639,560,519,750,
362,750,200,106,423,291,945,609,076,267,751,379,797,851,829,256,800,146,080,
356,213,027,453,583,240,499,240,043,903,406,765,369,197,711,167,257,403,902,
047,564,720,079,078,115,601,621,197,206,439,468,388,700,309,466,580,617,908,
773,984,766,596,429,051,532,307,240,156,773,680,146,907,179,764,347,907,825,
766,683,021,079,848,108,047,905,490,833,291,384,292,106,592,798,838,780,410,
293,476,948,903,713,495,067,824,397,716,949,261,549,107,838,852,477,787,831,
091,818,284,135,665,347,574,489,487,146,222,696,870,147,055,799,244,940,807,
270,003,795,033,479,931,293,433,159,557,875,621,934,231,854,833,149,375,367,
514,369,688,560,597,061,329,307,896,863,478,145,195,833,616,125,416,932,840,
314,679,528,557,101,572,326,505,239,134,524,799,410,557,820,566,220,318,938,
038,672,429,568,256,029,596,493,460,743,286,139,707,178,096,079,907,372,071,
515,206,889,457,760,208,585,067,800,997,808,474,156,852,166,872,179,555,821,
329,033,303,069,166,161,461,644,656,478,634,602,056,738,576,090,335,719,049,
352,503,135,731,876,955,660,843,239,354,480,997,972,861,910,142,604,539,461,
304,999,179,741,712,306,503,045,714,958,599,763,299,740,786,143,150,662,656,
884,367,890,458,999,277,284,053,595,891,655,352,593,720,657,637,949,693,423,
209,335,155,044,074,995,407,332,182,112,951,132,255,744,218,277,320,885,381,
978,758,467,488,044,029,882,329,316,089,212,137,413,385,486,233,352,961,358,
545,868,141,740,448,187,800,613,642,571,722,435,786,079,047,839,429,195,471,
355,183,748,213,484,018,893,004,559,148,979,427,214,768,315,074,882,409,708,
187,872,926,024,799,872,286,103,016,427,592,427,974,782,845,959,658,863,915,
229,922,446,283,550,612,933,051,329,319,454,951,230,036,837,596,063,299,128,
380,371,044,210,316,982,768,071,815,829,175,827,930,674,611,911,761,137,441,
198,669,383,607,309,090,621,763,813,710,230,525,615,651,365,947,494,810,461,
200,078,604,150,601,462,688,284,282,688,210,390,881,451,468,629,812,107,714,
092,615,501,906,521,903,934,651,842,917,727,939,586,034,513,665,730,243,282,
014,489,286,745,019,248,730,792,164,499,996,497,578,189,786,350,111,451,387,
049,662,836,901,221,038,303,409,575,040,929,274,923,534,473,966,337,720,460,
716,594,082,689,839,656,439,985,756,040,072,165,242,868,049,893,728,162,343,
876,958,689,611,100,927,608,247,536,067,778,423,696,794,611,952,632,501,027,
297,649,755,515,528,870,066,033,956,598,881,348,050,979,495,577,696,996,434,
397,767,470,888,771,174,492,774,034,043,147,911,263,843,287,540,920,582,033,
096,237,361,718,743,990,655,014,599,076,041,017,620,693,595,211,807,804,719,
346,177,702,996,029,304,968,570,287,807,854,964,465,706,410,467,380,398,550,
823,151,508,170,536,646,252,664,716,175,022,203,255,572,883,061,356,215,772,
760,079,647,383,933,839,741,880,694,105,362,770,248,124,022,802,132,626,844,
839,443,961,591,735,008,402,348,772,591,151,795,716,275,565,051,835,462,159,
406,261,407,593,377,648,259,121,560,290,889,118,722,500,327,937,985,203,884,
945,626,869,978,171,386,683,874,858,127,354,893,567,844,373,683,592,145,111,
898,987,364,427,646,582,771,921,432,895,753,529,923,069,778,843,527,030,152,
523,973,379,789,671,596,530,315,960,674,013,330,971,041,146,749,581,566,174,
455,696,766,645,460,603,301,572,196,514,314,219,903,059,356,914,532,226,611,
955,985,140,819,014,444,229,105,817,520,971,230,775,201,860,599,422,384,151,
146,996,754,091,357,571,031,108,229,245,620,450,430,946,167,027,953,401,143,
131,412,919,183,165,001,816,732,505,014,521,803,786,609,870,535,776,780,016,
235,760,960,936,095,467,422,178,530,647,680,772,587,320,510,639,725,151,709,
312,015,600,851,595,890,900,551,870,706,685,404,825,540,508,485,869,243,149,
466,985,857,873,982,366,516,289,110,348,927,575,696,248,128,097,671,300,237,
610,639,098,481,876,687,665,724,919,955,924,051,923,339,547,637,410,088,575,
417,729,976,674,701,899,206,257,923,830,839,338,104,632,415,749,993,008,924,
759,202,623,702,308,754,321,392,976,860,842,228,680,132,158,273,896,397,641,
860,177,612,626,600,115,043,669,837,819,625,184,123,021,128,389,933,783,686,
977,669,916,568,259,848,008,390,619,457,809,070,579,863,921,549,629,436,471,
221,240,198,093,522,596,698,190,182,900,636,977,428,764,500,071,666,512,639,
629,308,777,573,248,885,974,799,403,301,509,314,417,331,257,884,220,141,785,
710,010,129,560,507,803,221,267,364,036,006,710,326,841,693,372,230,260,008,
503,628,838,939,633,124,242,867,206,683,820,711,868,323,511,387,964,177,742,
036,554,687,932,530,681,786,993,853,916,526,162,317,996,809,635,218,841,549,
959,138,380,890,816,377,922,669,733,387,359,499,976,962,096,213,020,312,144,
003,019,998,682,540,067,149,476,130,150,945,630,295,444,843,101,002,300,207,
847,367,670,057,802,615,893,798,433,372,744,997,480,373,969,119,080,910,635,
127,030,638,909,234,733,818,615,009,965,552,674,545,747,447,832,317,583,992,
297,333,540,147,452,713,382,182,745,454,392,721,644,526,865,318,308,094,805,
522,359,932,586,857,825,554,760,150,041,027,197,960,953,153,782,058,477,712,
929,837,192,322,459,057,300,990,016,913,849,597,387,386,398,281,932,571,169,
480,867,362,751,871,283,700,065,377,487,304,691,497,234,448,096,611,263,979,
528,786,905,595,162,047,917,833,669,456,971,473,902,864,025,998,815,429,669,
825,249,176,398,271,706,825,753,529,068,322,805,742,141,510,795,019,545,917,
577,825,974,905,981,407,638,287,264,785,309,783,495,920,345,482,567,773,551,
266,980,132,041,828,589,077,308,990,533,034,029,281,999,337,835,610,526,143,
105,774,491,160,951,438,295,721,785,841,526,756,894,542,773,511,614,500,105,
310,557,961,625,847,475,566,856,568,412,609,114,162,537,884,965,943,009,380,
980,167,452,777,795,301,647,217,432,696,233,120,074,455,159,458,383,576,349,
626,069,370,677,737,510,296,271,040,944,524,923,654,865,454,346,961,370,801,
037,834,696,338,101,670,357,817,716,026,281,512,699,944,727,043,686,903,262,
573,562,310,083,433,501,796,928,214,914,631,606,792,514,870,912,927,842,007,
325,113,867,405,698,758,513,896,850,445,159,423,270,123,633,167,507,159,054,
442,989,541,176,391,830,224,213,974,536,708,015,478,500,632,585,609,030,366,
014,133,247,839,179,936,875,046,798,298,488,425,910,672,196,739,468,787,046,
124,994,421,907,154,378,633,357,622,481,229,239,760,827,890,995,403,944,974,
313,198,610,674,136,426,037,034,179,601,228,342,302,580,658,028,632,032,389,
544,922,507,391,198,545,423,857,339,346,060,277,628,469,730,157,029,169,311,
370,284,014,474,143,287,658,227,170,653,511,303,786,251,497,749,175,626,745,
486,977,337,815,126,001,630,046,506,467,452,238,010,514,093,373,275,501,675,
185,944,663,325,697,178,418,351,952,998,716,836,059,803,982,325,355,277,967,
382,518,521,531,967,514,418,215,416,636,346,227,643,476,959,198,184,956,946,
905,853,609,379,291,552,355,406,183,946,041,379,145,991,599,412,352,834,890,
869,688,167,529,525,843,228,543,968,635,584,736,395,676,720,521,836,200,332,
476,559,959,535,343,182,466,288,738,838,942,467,294,392,119,961,896,153,454,
898,383,174,509,475,759,544,236,828,889,935,614,737,435,531,357,229,682,695,
248,393,342,300,528,678,428,997,941,093,348,461,320,896,658,362,621,523,912,
115,585,352,121,379,759,085,327,013,304,015,478,798,901,527,080,958,442,255,
277,953,843,626,871,135,335,223,876,213,516,628,678,335,011,012,549,601,563,
657,814,130,992,890,399,055,996,976,718,417,704,544,470,292,575,184,538,071,
719,916,423,260,461,534,161,979,064,326,528,377,713,722,551,336,234,244,370,
721,740,650,920,635,451,668,007,087,060,476,232,758,347,089,698,041,945,669,
088,556,613,877,303,507,014,114,850,767,672,611,316,029,759,795,106,565,861,
744,741,754,495,528,748,849,609,601,353,429,599,655,255,188,693,156,350,584,
947,284,018,037,306,688,301,223,178,675,568,424,708,031,509,433,642,241,853,
490,822,882,809,823,329,636,255,557,699,090,372,352,040,179,774,992,458,528,
036,368,853,165,206,880,074,237,670,388,616,285,931,729,661,749,868,242,599,
119,844,832,882,642,958,213,662,783,535,661,096,936,688,406,500,109,678,660,
068,991,492,653,766,740,674,232,238,001,042,618,610,186,745,010,992,650,749,
957,877,852,051,421,130,601,601,618,107,611,844,917,472,247,802,128,705,503,
536,934,335,225,678,107,258,636,234,443,839,593,365,316,832,333,802,768,036,
154,999,593,200,121,360,180,613,470,213,251,533,656,144,986,147,275,555,146,
029,055,843,245,805,876,294,595,535,396,921,276,562,080,897,010,151,004,576,
385,698,558,053,778,848,258,257,897,169,910,435,735,918,266,609,599,339,669,
698,109,051,281,023,740,990,666,391,698,494,561,805,168,024,257,516,793,321,
320,403,732,256,644,677,801,298,845,862,866,292,178,434,444,329,194,978,922,
162,226,088,598,577,650,255,560,122,399,041,521,476,445,285,037,714,484,900,
400,270,325,949,891,842,880,337,846,658,360,006,162,342,068,317,956,060,238,
945,547,233,708,390,031,124,190,854,731,073,554,762,890,543,358,579,353,909,
048,539,814,346,391,400,151,992,112,488,071,579,152,694,665,495,436,354,156,
760,764,859,497,581,282,263,906,030,754,098,077,934,821,417,935,439,144,778,
514,075,845,513,434,008,486,092,802,238,837,451,346,802,463,455,322,391,187,
183,240,151,088,280,322,408,687,212,952,387,605,588,548,773,157,342,223,846,
544,866,124,040,421,117,716,664,214,269,003,788,423,052,576,052,459,046,482,
278,038,998,479,742,345,899,874,405,954,210,341,789,105,715,499,977,679,125,
961,304,503,780,104,976,439,674,318,627,355,497,924,465,387,669,670,135,016,
489,214,900,814,262,064,069,340,704,168,120,532,903,816,652,581,791,409,515,
536,759,639,020,163,425,756,052,806,069,436,517,514,196,234,760,407,157,177,
653,988,030,694,974,805,379,140,434,189,137,111,882,475,636,784,277,155,854,
057,451,251,433,945,926,717,923,559,654,079,932,044,077,493,992,378,653,337,
506,681,579,070,439,199,767,966,477,302,897,633,221,569,806,158,022,964,418,
920,748,294,897,372,702,673,326,476,108,827,562,874,170,299,290,736,570,782,
035,346,742,766,329,877,214,300,190,024,637,431,142,963,348,732,952,173,095,
704,639,957,948,739,157,411,049,522,508,251,523,106,191,591,714,272,015,743,
906,364,212,317,934,765,267,173,218,969,258,388,564,589,623,157,552,623,645,
375,783,573,388,600,695,392,251,262,912,481,224,516,518,125,692,945,707,888,
308,028,005,828,588,788,513,506,842,650,703,317,713,275,950,732,529,163,951,
507,633,834,320,029,301,138,258,258,529,511,789,588,009,606,167,508,862,525,
509,106,544,937,537,480,370,299,773,525,560,582,254,801,519,685,302,797,316,
194,400,004,747,793,863,441,538,162,822,457,023,398,835,276,215,318,135,780,
152,495,233,607,438,180,031,593,434,635,427,587,892,193,376,231,074,330,263,
601,121,169,894,653,043,186,656,199,708,286,534,775,668,721,360,057,173,662,
715,771,879,971,615,608,325,808,173,143,305,659,517,293,335,298,169,858,336,
217,981,642,541,238,119,249,810,110,251,584,068,625,026,979,929,664,891,804,
919,791,441,286,586,743,123,884,102,363,329,026,655,844,071,199,082,580,357,
744,361,697,804,475,227,561,432,422,322,358,921,472,564,598,349,782,161,924,
537,645,170,921,735,002,904,136,542,919,315,128,600,624,474,721,786,797,265,
160,205,009,709,068,708,073,179,148,945,908,063,061,256,691,521,567,924,173,
755,433,454,085,660,939,385,666,042,771,683,654,643,481,139,871,806,160,774,
856,195,773,126,092,715,201,209,390,181,382,330,804,257,053,584,444,934,658,
698,925,313,979,213,503,105,397,309,041,694,186,905,592,390,858,731,612,634,
201,352,991,262,941,233,327,583,532,800,898,988,819,325,348,985,553,807,627,
976,013,873,815,844,938,207,905,981,050,769,084,638,024,796,320,878,210,594,
578,603,084,421,691,610,576,276,997,077,990,479,400,972,503,263,187,520,870,
826,127,162,682,244,560,266,089,502,183,765,879,847,420,132,245,732,975,437,
062,958,175,022,227,871,080,875,901,670,399,508,609,141,706,409,585,732,796,
146,735,047,294,371,262,014,613,062,237,356,029,504,843,583,874,373,680,571,
057,270,971,235,150,050,305,632,018,101,611,391,663,573,088,095,174,677,407,
889,679,141,248,432,482,940,828,373,839,575,776,474,084,622,697,504,941,222,
139,413,187,809,768,531,181,120,874,649,170,802,986,988,414,089,724,513,826,
142,590,996,908,606,028,109,685,545,448,144,578,966,099,211,845,055,677,931,
699,799,259,817,224,409,996,186,071,917,754,452,594,535,237,425,044,723,358,
467,105,373,209,785,012,378,618,316,070,289,476,748,129,371,024,443,409,156,
141,505,462,761,411,904,560,145,159,320,123,710,432,242,987,160,491,731,904,
554,469,319,982,517,738,659,104,755,656,795,540,345,942,357,467,280,307,006,
723,932,090,811,239,563,302,754,655,065,623,502,311,954,052,513,819,488,310,
978,574,489,682,473,964,178,130,727,223,796,878,195,111,363,449,663,665,023,
741,094,237,883,202,007,048,270,521,884,262,611,378,739,972,988,295,511,931,
571,044,102,090,258,502,881,892,190,758,356,034,828,555,033,894,274,615,410,
550,752,863,272,590,686,814,912,444,353,117,338,594,051,861,471,017,864,644,
545,398,658,433,187,696,403,511,435,913,378,172,968,862,409,553,754,844,791,
287,829,382,529,423,240,714,249,029,752,099,530,968,034,036,669,997,032,164,
209,965,357,295,097,121,860,841,040,133,224,871,303,661,244,525,316,201,512,
436,654,058,066,593,361,736,271,800,263,751,450,808,128,450,480,621,185,239,
358,057,174,885,747,586,138,069,843,703,204,550,077,899,198,240,626,784,716,
847,198,775,404,084,915,876,039,537,279,766,239,451,789,264,102,507,123,890,
725,103,255,045,458,137,818,747,378,134,363,493,905,361,858,659,207,988,005,
205,944,780,008,772,708,267,828,569,824,403,447,483,826,838,971,923,198,523,
538,625,586,679,243,036,032,804,162,012,756,990,924,884,813,948,547,435,331,
976,545,482,584,742,424,812,400,424,738,079,398,981,634,127,153,423,914,313,
180,182,303,126,002,786,329,331,686,148,701,652,334,324,955,925,251,723,886,
252,970,434,795,047,447,631,932,548,767,045,069,060,946,791,848,077,684,664,
509,605,157,098,908,655,660,611,013,129,417,664,428,846,897,859,287,041,312,
764,206,890,520,064,348,730,445,662,598,117,936,625,687,355,796,493,370,195,
645,001,657,684,024,452,053,075,282,496,758,450,052,793,267,149,916,153,175,
334,291,175,236,064,290,682,804,335,606,757,802,364,926,044,461,643,079,418,
051,146,510,208,335,512,982,740,933,451,598,421,215,911,338,593,199,583,503,
529,676,497,423,462,254,862,281,062,812,078,541,170,735,907,182,048,487,047,
745,605,627,134,370,268,833,549,302,284,470,263,208,772,614,266,836,584,622,
576,966,610,021,317,273,906,374,705,233,054,345,858,969,963,064,194,385,669,
110,081,627,080,288,429,498,899,233,317,168,799,492,587,486,551,855,943,070,
582,735,812,868,346,582,312,602,318,341,828,706,520,829,739,602,166,382,888,
684,749,155,218,011,386,240,289,539,691,530,685,291,547,489,170,368,920,285,
997,849,297,946,679,019,820,631,697,353,678,319,596,673,639,848,165,120,284,
494,697,170,232,814,032,136,250,711,961,987,383,184,910,046,927,557,473,251,
527,226,244,426,354,630,525,749,586,941,776,075,737,007,048,219,026,663,732,
091,877,509,797,972,676,168,008,680,210,991,129,361,136,412,834,543,706,320,
056,074,906,758,624,372,196,382,698,743,168,847,694,271,020,596,589,296,916,
590,172,965,970,761,733,895,126,054,652,416,910,316,231,179,694,652,693,628,
628,100,376,199,245,412,269,271,162,375,675,948,093,501,467,714,362,322,716,
090,799,370,402,623,810,823,542,547,722,584,775,350,363,750,102,147,799,408,
237,567,581,893,132,193,342,284,032,713,853,393,515,352,167,363,137,694,855,
021,280,981,145,212,611,400,679,181,680,125,975,887,952,699,314,292,244,370,
244,003,194,909,796,524,096,217,466,367,970,345,718,989,517,875,352,625,558,
729,667,477,693,130,092,897,189,077,552,409,396,175,975,157,512,599,124,720,
573,940,900,289,757,264,211,117,434,089,290,784,119,444,176,674,751,936,925,
266,570,055,344,211,390,333,205,454,272,394,186,452,397,192,834,450,337,305,
719,638,588,393,574,717,708,899,969,202,209,669,514,289,925,073,091,936,955,
211,208,000,528,643,175,738,019,893,418,848,730,935,182,674,600,044,764,982,
380,700,534,055,015,635,734,993,403,794,906,270,237,863,590,761,118,024,820,
692,390,592,100,885,131,182,396,474,336,724,993,560,947,765,248,873,472,809,
759,066,790,858,866,767,146,916,024,514,674,071,615,610,820,570,076,088,830,
977,327,022,725,928,925,792,430,028,388,546,428,350,281,604,845,987,042,442,
641,253,821,850,943,663,276,449,948,530,603,163,669,969,487,570,009,436,185,
794,433,440,043,219,918,476,049,908,708,332,435,701,540,281,671,766,250,944,
876,786,094,110,552,887,330,762,011,017,566,279,513,321,379,612,272,248,223,
264,999,690,104,603,471,681,818,842,927,474,176,563,565,605,014,846,864,765,
142,262,977,295,799,807,774,236,384,912,619,940,960,772,393,178,350,037,168,
608,807,467,359,965,003,209,387,642,856,107,100,963,533,358,204,523,464,518,
307,746,520,638,338,095,612,435,361,090,704,275,337,364,525,398,995,011,643,
403,561,892,155,595,776,929,592,164,570,584,109,960,912,558,157,878,852,267,
097,194,165,384,551,867,100,008,974,067,219,454,017,299,521,121,180,248,866,
202,799,201,344,483,157,978,185,908,853,080,290,877,282,666,106,406,493,862,
333,498,326,889,544,040,415,257,488,207,719,871,986,501,207,025,225,112,951,
199,458,385,836,547,504,342,023,130,225,038,754,425,177,809,706,670,156,772,
737,585,750,616,048,824,619,802,708,161,592,997,829,035,130,280,064,056,111,
586,630,816,722,727,657,652,551,182,059,244,697,277,600,849,380,426,880,684,
778,441,710,796,247,058,877,795,487,512,082,194,788,047,470,530,025,606,170,
109,305,200,833,790,428,069,743,583,801,367,858,675,495,979,975,734,625,555,
642,043,192,524,514,861,152,766,923,865,508,459,613,891,663,036,234,340,679,
694,904,819,740,632,867,822,741,972,428,831,702,827,375,606,480,069,101,785,
107,484,730,025,779,978,421,062,299,277,007,022,790,770,613,735,635,910,106,
582,493,086,815,038,459,510,627,818,721,214,026,662,556,198,068,243,678,935,
824,163,657,904,634,355,821,468,570,033,491,357,299,509,816,186,462,716,381,
930,887,919,025,139,018,514,412,836,244,222,839,406,973,359,230,211,284,264,
580,337,233,185,147,963,033,695,350,842,002,524,714,475,662,749,890,174,680,
020,672,098,590,816,496,740,553,285,805,266,635,749,698,571,738,610,760,907,
675,412,592,502,417,814,163,463,339,042,175,994,040,334,405,030,710,295,086,
684,814,510,881,177,179,114,847,377,670,612,614,486,780,386,354,718,840,650,
996,492,006,463,111,718,398,811,221,597,947,083,531,619,346,323,357,001,976,
844,809,672,084,675,937,536,132,513,068,566,959,224,317,077,578,821,748,997,
873,536,172,833,801,221,265,486,188,903,464,017,731,934,855,481,227,809,309,
966,997,358,080,754,098,636,204,263,344,635,865,218,152,558,237,799,114,362,
705,417,549,969,519,792,451,382,420,943,171,864,639,922,723,096,552,032,438,
731,490,345,201,510,637,145,407,571,418,520,909,046,937,969,759,613,214,881,
874,469,184,831,899,468,622,415,696,441,093,990,065,369,406,513,809,060,292,
800,159,574,901,953,399,551,044,935,706,517,034,606,080,819,990,402,696,407,
377,753,605,146,856,175,449,365,208,988,520,383,269,362,456,897,182,124,403,
864,625,194,808,776,400,379,543,810,802,596,399,299,227,421,570,207,820,703,
575,320,412,718,439,065,073,366,905,215,425,987,774,723,577,942,511,293,714,
433,628,101,019,073,895,824,637,751,969,626,712,294,004,140,936,184,732,853,
030,392,424,847,629,496,272,078,655,198,934,170,136,177,265,764,720,662,873,
051,974,301,259,427,052,695,989,688,062,226,843,881,206,582,756,014,779,782,
957,519,629,734,086,993,234,110,727,691,166,972,895,459,423,097,302,040,646,
868,583,954,256,389,436,034,370,395,691,042,516,918,853,737,356,036,436,878,
169,682,840,951,015,769,158,060,759,564,304,074,263,212,230,170,625,979,434,
006,869,322,596,377,933,453,834,407,005,617,202,551,701,437,337,456,442,055,
078,462,623,416,458,472,961,811,391,826,704,320,975,618,803,527,261,031,146,
431,554,361,411,100,239,920,477,676,899,872,938,215,479,519,241,195,591,412,
754,114,799,581,117,016,656,255,667,444,534,112,355,304,080,369,832,587,030,
029,239,457,590,378,310,389,024,164,578,782,570,028,253,120,019,491,918,096,
592,648,644,433,889,722,694,882,439,173,837,006,998,536,673,058,668,348,113,
878,157,501,842,870,626,074,695,410,845,809,347,065,917,173,530,871,905,994,
779,782,668,257,413,715,678,489,692,539,053,707,300,826,704,799,501,312,917,
871,631,313,386,840,491,656,647,448,174,524,306,862,802,030,225,021,503,860,
236,422,704,763,115,936,928,568,916,866,321,375,093,618,575,802,877,594,551,
343,023,681,631,316,811,026,282,025,238,533,737,533,474,677,023,410,017,386,
517,962,905,537,658,947,131,291,505,913,933,844,263,382,056,557,783,814,657,
044,612,566,884,141,773,381,839,566,317,075,082,673,947,178,292,511,510,853,
730,974,067,588,998,502,924,790,073,878,274,708,033,362,188,069,819,043,484,
831,797,647,146,413,203,572,981,453,101,307,742,186,512,711,299,693,143,662,
350,698,858,034,079,826,458,117,317,445,536,261,583,969,297,688,454,371,148,
749,953,458,412,874,540,918,540,733,690,997,877,995,855,730,526,236,492,631,
068,613,391,958,414,429,733,108,776,152,491,870,623,661,447,470,696,881,966,
856,245,098,067,773,766,925,933,747,909,900,883,208,306,505,167,369,806,269,
390,338,795,161,391,866,295,455,374,534,950,064,780,873,302,320,876,628,693,
252,108,134,482,871,146,970,724,880,023,783,810,837,419,002,277,131,248,661,
019,161,983,214,515,772,866,550,705,184,299,173,403,938,274,290,272,913,620,
108,250,670,502,356,698,294,206,873,970,057,248,803,459,451,617,847,208,670,
316,326,529,350,894,786,612,993,272,409,982,595,470,579,904,503,216,964,649,
721,852,883,469,638,112,802,552,162,053,507,279,617,747,913,409,077,410,877,
793,314,607,998,441,208,840,687,535,581,309,132,547,305,838,235,365,384,259,
523,344,285,560,564,037,716,997,596,889,542,488,876,555,283,690,687,229,356,
232,250,429,233,289,768,327,349,224,339,721,751,605,113,064,791,162,959,670,
381,479,140,865,784,995,158,576,887,663,254,289,649,704,063,002,280,601,891,
937,569,757,404,103,607,351,209,946,361,234,222,624,767,451,655,185,265,053,
806,829,998,892,047,069,111,856,482,235,176,431,023,061,010,371,026,498,633,
420,670,508,700,474,563,925,715,589,102,628,863,965,629,177,360,834,319,637,
545,359,275,079,092,570,097,111,821,450,386,288,330,630,696,637,938,108,766,
947,010,534,019,963,539,258,544,141,585,237,991,091,278,580,043,576,133,888,
884,855,288,421,959,355,030,998,113,458,083,948,687,946,923,106,743,371,812,
277,378,834,484,219,724,993,309,032,430,288,555,702,387,786,092,916,729,580,
604,122,804,822,985,912,083,400,346,921,162,668,700,167,869,716,517,943,291,
065,378,044,846,295,646,256,407,372,488,432,246,980,249,089,812,492,962,519,
363,855,653,422,960,075,425,473,530,329,592,911,850,365,323,542,953,806,405,
382,883,586,632,864,095,265,193,239,590,458,629,776,519,939,400,518,870,567,
138,743,972,115,867,489,551,776,349,154,510,774,744,051,069,170,596,798,423,
349,416,465,352,336,744,372,549,290,117,885,928,262,564,960,124,285,710,402,
810,097,478,888,501,836,367,147,518,321,081,306,712,629,040,872,199,932,744,
058,473,646,695,150,097,604,104,453,281,762,393,448,700,356,081,394,674,601,
054,141,847,006,600,620,463,551,714,740,138,460,051,772,504,952,338,773,321,
860,154,249,333,748,823,980,831,078,791,200,164,893,926,837,462,231,789,906,
461,090,341,807,562,581,344,613,881,307,673,785,605,621,546,893,086,722,790,
992,008,487,841,710,554,258,076,425,956,526,187,463,427,852,623,988,909,043,
015,007,339,147,621,946,317,019,468,842,327,462,159,412,581,089,065,724,630,
533,042,837,122,350,842,841,016,582,871,248,184,390,077,003,263,551,537,818,
108,315,427,057,342,582,807,935,409,742,006,552,973,224,840,240,067,600,748,
190,003,220,234,873,668,447,219,032,566,745,924,791,200,088,430,503,490,362,
196,142,535,241,249,127,671,424,247,206,546,462,670,807,739,600,237,352,403,
531,462,155,002,828,175,563,868,606,430,960,507,294,408,289,450,282,435,463,
622,602,121,002,840,107,865,985,587,402,143,746,091,827,043,709,073,042,070,
951,989,654,180,483,285,167,497,851,042,271,340,039,955,522,034,019,534,284,
453,509,352,162,109,748,192,232,853,556,203,646,056,120,732,830,522,497,619,
141,526,010,428,037,726,073,474,630,186,356,143,940,140,244,841,107,017,530,
417,789,607,611,359,545,858,547,272,437,993,291,198,352,320,523,605,597,290,
878,819,908,972,990,698,957,927,626,676,565,407,206,982,602,243,224,273,051,
069,615,512,861,744,847,296,954,984,572,953,706,258,166,621,397,897,506,938,
189,554,273,040,326,831,277,512,461,019,535,134,524,900,436,866,789,557,904,
548,168,845,296,962,398,496,042,157,485,186,489,792,119,527,265,080,959,889,
735,188,355,281,544,830,723,773,649,323,161,407,444,076,767,987,210,837,246,
518,092,511,944,089,705,373,431,032,679,474,917,418,004,148,463,375,322,800,
600,741,477,883,492,973,437,306,114,808,550,987,193,590,662,412,539,777,219,
661,397,359,281,369,080,822,561,388,127,122,739,249,150,290,023,596,264,600,
369,594,717,775,226,404,433,553,356,568,702,680,761,122,180,893,464,795,910,
204,097,972,976,977,554,282,414,834,356,718,303,339,015,657,430,125,825,040,
991,634,270,199,351,362,307,209,151,560,101,514,027,838,413,930,105,630,772,
837,137,510,599,349,788,017,377,172,179,535,058,214,435,858,455,616,823,356,
842,679,587,518,824,406,550,092,312,634,172,879,754,500,665,240,268,818,877,
234,008,193,136,536,411,831,063,922,467,793,566,980,482,110,180,170,760,900,
828,723,619,402,581,370,025,492,960,026,031,743,663,126,764,852,989,816,615,
765,733,006,514,297,394,515,560,980,011,033,476,357,259,534,587,049,535,292,
200,320,591,572,144,110,315,973,257,315,415,471,701,854,636,736,555,129,430,
512,990,233,390,215,926,365,390,188,859,960,689,207,979,483,384,814,398,366,
970,041,095,061,885,580,125,423,507,739,469,634,797,458,833,207,420,916,388,
804,547,022,015,993,633,473,629,528,651,135,542,761,303,209,924,104,093,737,
887,764,621,796,151,450,884,740,172,671,270,232,297,590,338,344,614,103,889,
807,952,590,391,994,781,797,358,341,171,628,444,459,419,133,909,090,920,405,
065,139,132,543,669,356,174,621,652,895,245,590,698,909,590,617,459,700,518,
147,201,646,494,949,633,317,297,842,942,511,015,792,051,480,231,810,815,673,
260,619,221,919,899,391,456,487,301,950,574,888,767,829,601,103,745,330,163,
997,174,325,525,353,691,118,687,314,342,638,810,087,102,826,572,237,549,754,
623,014,007,984,832,411,237,273,377,092,149,812,548,986,760,397,155,079,296,
366,441,278,620,534,080,065,919,003,095,695,113,873,659,635,744,830,578,095,
206,507,235,693,410,850,744,384,564,743,208,903,550,865,279,482,820,088,059,
103,036,702,049,250,654,485,369,458,496,928,770,458,580,485,846,653,893,499,
773,096,753,759,379,824,960,225,079,464,308,862,981,259,691,900,829,246,568,
274,768,398,585,332,829,716,941,198,610,311,692,532,629,344,615,575,367,704,
163,998,494,249,011,946,311,516,887,061,370,291,009,681,158,298,307,093,156,
606,155,456,619,558,672,218,984,522,057,108,309,469,318,397,237,057,373,327,
638,392,068,682,865,754,008,509,927,605,965,234,724,778,481,449,859,248,241,
618,651,181,228,673,242,974,120,028,430,528,597,796,475,757,078,846,637,413,
762,389,542,733,615,447,325,072,731,177,018,828,400,125,587,945,806,095,894,
716,776,407,464,503,587,736,838,752,583,974,022,881,102,182,598,418,666,747,
800,238,212,241,730,425,943,440,066,704,669,042,868,024,133,787,404,351,953,
617,351,910,918,259,288,298,905,439,287,550,311,115,125,846,753,026,997,858,
319,233,530,224,424,995,384,760,314,583,507,043,281,226,296,800,362,616,252,
194,672,503,943,603,708,630,569,330,068,893,292,055,051,400,393,576,261,206,
553,168,086,981,250,154,916,324,577,050,139,262,548,472,909,959,701,607,695,
744,779,905,977,897,542,165,800,817,559,455,673,103,680,303,736,736,710,031,
397,558,543,731,387,480,414,719,879,940,896,108,159,871,256,320,446,551,212,
393,159,653,931,265,085,287,283,962,276,606,865,531,436,446,833,530,129,889,
098,967,406,478,960,578,610,512,362,498,881,952,197,790,731,238,803,397,188,
645,432,088,466,103,366,708,225,542,158,204,199,145,124,474,389,616,664,011,
758,553,080,451,220,124,472,089,738,256,831,453,846,460,688,186,152,886,827,
464,487,217,291,129,303,815,676,751,090,876,327,857,339,273,071,317,029,008,
992,395,872,135,207,369,561,537,437,360,745,809,251,718,431,021,590,493,956,
324,226,526,639,087,554,063,259,334,044,814,873,644,195,942,670,443,412,240,
488,960,763,005,691,674,802,446,103,847,021,033,395,396,401,946,915,723,480,
574,858,696,237,234,051,293,637,370,483,848,964,211,088,714,001,578,634,794,
238,055,536,675,803,202,414,338,889,512,725,913,467,820,605,678,579,477,876,
457,383,163,207,361,078,464,850,641,914,199,534,952,268,151,427,914,518,864,
947,481,078,903,101,861,076,689,796,198,730,470,539,353,688,454,556,966,156,
392,399,982,092,119,866,115,205,674,071,817,619,106,066,155,943,694,110,746,
751,190,560,076,683,078,338,464,586,830,635,131,736,107,755,723,766,219,115,
940,816,308,258,773,296,943,203,290,667,885,905,331,231,231,928,681,605,268,
201,079,933,878,414,990,038,253,063,637,144,977,267,385,341,476,299,534,888,
368,216,695,073,696,592,462,654,379,345,307,138,187,625,996,368,655,316,127,
276,680,854,469,730,082,140,868,078,547,337,643,593,926,332,334,047,324,405,
267,443,151,725,931,941,680,065,108,153,560,157,527,294,261,418,337,643,123,
108,041,790,787,607,989,857,886,294,015,824,499,044,759,888,272,418,667,786,
155,519,117,173,861,432,341,049,884,563,616,718,486,355,630,078,395,830,726,
665,648,951,206,384,048,968,020,743,969,995,799,616,966,462,451,369,959,456,
780,882,022,141,617,859,831,029,019,514,563,858,271,062,616,431,696,218,428,
908,665,525,206,059,585,900,769,131,570,161,539,580,419,785,029,558,929,587,
966,719,914,544,651,771,751,258,792,517,322,302,624,428,682,122,559,800,012,
085,192,548,209,017,484,061,757,529,105,762,651,334,931,238,163,555,483,013,
126,105,639,581,761,525,243,685,274,578,351,905,773,784,627,872,135,844,729,
351,983,135,045,155,008,791,869,510,076,443,781,372,262,434,689,888,049,085,
749,400,390,357,878,273,208,663,182,973,678,477,742,869,301,387,966,909,893,
095,957,611,830,770,191,594,919,530,768,767,449,789,838,688,475,622,787,310,
399,113,226,324,766,260,034,046,632,042,101,979,389,085,387,553,120,012,376,
999,939,061,880,389,885,905,660,651,668,950,618,669,094,379,315,517,597,373,
169,712,099,112,144,381,134,127,522,995,548,438,278,368,647,043,717,118,965,
778,040,106,798,023,426,663,898,266,156,539,060,091,538,152,656,922,594,122,
113,708,430,203,883,323,102,641,884,408,610,146,706,591,805,175,302,517,560,
191,663,619,114,527,635,769,069,803,222,864,078,045,633,067,678,367,005,321,
407,239,871,080,245,672,695,041,742,112,445,122,068,586,056,455,178,027,977,
769,833,991,410,093,808,209,897,842,693,448,801,349,830,450,529,237,058,712,
127,934,853,460,727,307,592,508,742,533,631,508,921,127,318,538,806,914,797,
541,432,267,512,737,745,621,984,891,858,207,355,129,002,071,096,172,368,990,
132,196,584,117,799,212,224,842,038,807,234,338,136,626,206,587,829,161,629,
038,353,193,657,636,886,841,604,380,689,708,318,284,921,247,858,221,400,245,
144,924,026,746,234,889,740,478,086,562,899,460,592,303,283,740,835,801,533,
609,309,504,495,030,007,006,016,577,617,884,781,236,033,497,047,862,253,583,
043,875,255,240,028,582,366,787,902,286,211,059,852,065,528,089,414,447,075,
257,394,903,206,786,913,007,907,011,842,067,873,956,848,087,106,683,378,800,
134,847,515,140,492,629,407,781,486,906,677,840,700,479,585,443,928,374,243,
716,016,358,041,590,461,851,025,301,169,740,424,667,339,287,965,816,232,688,
136,424,405,252,502,184,267,215,062,534,696,151,887,228,012,659,528,258,006,
765,822,851,484,692,135,996,596,939,895,768,721,593,798,756,546,702,269,004,
710,037,398,447,851,171,854,763,027,067,737,614,780,589,419,425,235,748,456,
867,355,001,615,435,265,384,376,387,286,988,867,516,569,402,543,632,443,302,
623,700,497,635,610,105,554,620,240,512,098,112,947,707,215,393,450,938,087,
627,847,742,916,532,288,893,578,559,439,157,226,315,527,609,584,723,050,337,
554,366,374,707,109,527,111,206,116,622,687,693,808,852,852,757,392,106,080,
679,245,079,181,143,562,487,865,958,849,893,840,875,931,721,306,350,646,108,
086,090,070,076,352,108,693,720,601,120,306,685,138,538,012,491,930,110,536,
391,893,739,261,255,382,645,319,828,810,232,272,492,867,022,887,146,145,489,
003,402,454,873,430,885,718,267,337,639,481,263,102,636,455,059,208,547,779,
949,968,157,526,336,449,170,698,801,692,276,062,798,671,347,047,522,015,692,
758,094,075,480,172,806,718,376,472,217,635,027,418,682,727,354,973,910,956,
759,448,906,202,697,100,063,932,812,339,857,047,614,931,431,355,925,270,320,
638,815,668,186,842,764,906,369,873,010,372,221,571,995,262,570,184,657,614,
230,757,432,768,664,782,363,960,313,799,738,364,674,736,912,091,473,851,955,
782,409,736,456,583,701,374,137,011,291,368,970,452,472,619,072,192,021,397,
985,406,081,951,705,671,351,556,572,066,604,696,324,987,843,264,793,938,687,
674,568,057,512,745,555,718,636,812,594,715,502,315,117,061,874,126,839,429,
498,438,525,722,398,493,286,340,446,110,835,735,345,855,325,739,767,419,017,
739,351,465,155,772,523,292,121,039,970,668,730,326,583,338,470,745,948,739,
336,129,475,071,630,152,076,274,121,680,050,535,049,591,144,866,664,548,418,
462,939,483,591,702,277,796,327,721,758,797,254,661,504,401,721,230,420,372,
947,028,505,906,991,245,603,011,566,067,737,395,668,840,290,161,571,260,375,
411,894,955,363,747,254,682,930,248,066,579,097,765,840,091,203,065,927,403,
441,889,945,356,684,080,709,017,799,571,096,553,438,284,102,765,720,567,295,
143,771,901,839,515,651,516,766,516,528,553,098,392,688,705,051,609,708,488,
240,177,208,935,730,750,540,252,599,231,162,776,460,682,212,960,170,310,246,
223,650,017,313,316,354,622,893,562,070,535,951,680,636,578,134,414,221,018,
389,264,183,650,263,011,932,243,717,654,546,586,759,242,964,859,250,706,351,
350,848,086,825,605,295,439,345,567,157,303,986,065,535,714,597,705,655,178,
670,226,705,933,216,470,153,250,053,899,795,691,918,225,249,394,100,717,962,
929,428,778,153,367,199,873,725,816,698,995,732,695,415,343,397,133,416,401,
941,282,003,324,119,395,895,041,765,168,329,285,586,571,179,179,549,474,526,
320,570,350,951,983,472,846,185,163,177,741,351,385,488,324,147,467,708,194,
794,196,293,245,089,891,194,141,155,294,878,037,105,100,663,218,075,144,621,
882,493,469,268,082,241,677,454,399,626,022,893,182,095,260,858,916,403,967,
519,122,257,340,792,364,061,694,734,637,988,663,657,728,163,798,514,396,038,
154,428,266,297,164,643,009,081,691,646,041,497,317,802,120,802,708,243,379,
949,935,199,872,991,959,745,789,456,839,823,416,258,865,139,818,676,832,431,
502,086,789,337,150,559,827,386,418,658,644,362,140,389,862,433,205,132,690,
797,908,640,467,899,163,095,577,881,077,066,544,058,438,832,072,266,136,999,
738,870,434,644,219,929,173,397,598,380,792,468,346,417,451,955,456,313,171,
862,970,637,270,804,541,710,433,574,765,023,336,297,386,904,911,490,602,493,
571,111,228,343,571,122,847,524,848,592,954,887,276,411,813,998,001,224,307,
401,206,626,909,956,305,361,317,310,219,812,734,595,914,644,337,440,390,290,
224,833,924,031,928,030,713,726,992,707,483,160,317,446,654,634,534,431,494,
946,705,055,972,765,313,731,109,529,003,059,327,525,589,480,851,299,281,337,
961,534,358,454,996,600,482,870,385,989,729,709,231,826,801,453,611,564,550,
970,013,902,631,950,354,852,089,890,035,262,812,079,236,645,993,009,061,005,
964,498,664,950,969,022,310,403,528,539,414,252,332,501,164,659,349,612,287,
786,617,345,534,250,180,848,346,140,896,070,712,737,924,487,206,436,577,987,
459,305,710,043,324,247,777,300,057,474,170,643,243,523,774,813,559,658,701,
699,733,570,642,515,223,310,497,841,058,128,989,577,913,375,372,103,044,868,
385,525,858,036,384,078,045,750,941,913,050,140,619,475,788,919,800,126,856,
784,446,264,058,229,960,549,299,543,909,938,412,049,682,459,844,248,810,262,
990,805,652,210,106,297,575,094,360,016,985,571,761,427,989,419,271,076,839,
752,341,440,455,560,966,087,605,282,207,016,553,378,274,180,919,057,399,814,
996,406,589,104,757,064,017,697,266,305,197,897,282,585,715,366,529,930,851,
865,805,928,418,944,672,589,159,682,299,499,892,429,000,728,501,729,522,254,
753,660,644,358,803,057,947,557,723,096,964,380,055,614,975,547,289,732,356,
063,795,729,875,673,616,437,456,925,959,691,026,242,890,781,364,884,574,354,
488,672,379,858,027,299,391,208,972,709,310,294,704,156,369,679,713,530,127,
231,741,280,397,439,435,216,166,247,684,501,336,062,636,754,404,351,825,523,
873,062,940,300,222,087,286,932,793,495,552,916,628,256,804,007,102,380,850,
988,931,373,541,076,429,536,262,822,823,356,401,692,976,166,137,148,761,100,
603,382,614,511,807,725,988,857,522,208,020,262,783,111,572,750,188,374,714,
836,391,216,619,490,766,031,807,991,496,206,402,209,060,619,108,849,351,183,
496,063,187,907,948,846,955,410,956,180,051,579,814,008,707,800,338,951,623,
596,613,698,323,869,197,653,818,943,575,385,094,643,498,852,935,482,651,681,
744,491,755,883,761,737,638,878,755,940,184,475,773,251,028,217,439,080,580,
196,820,382,293,348,314,239,980,199,316,524,964,379,913,389,766,848,188,341,
068,538,310,476,429,412,361,799,206,013,877,680,864,474,521,885,345,356,526,
114,488,327,179,812,330,324,265,394,925,417,838,559,123,082,413,905,452,930,
282,681,047,258,801,013,730,077,234,353,809,884,919,966,428,753,289,730,084,
461,614,872,192,300,997,210,419,966,054,848,790,786,515,707,251,418,000,853,
702,054,916,091,437,719,704,910,920,742,969,965,981,450,777,406,305,124,707,
188,026,306,195,164,063,807,940,740,627,085,026,962,254,893,285,899,655,198,
418,660,741,153,725,925,559,202,748,426,399,810,857,344,933,996,549,782,928,
896,178,912,645,365,747,754,323,737,754,780,216,903,134,595,765,122,716,461,
836,029,981,739,894,782,890,280,380,779,790,929,850,274,441,244,582,777,778,
992,765,040,526,530,682,869,028,991,481,639,761,311,740,885,770,926,331,516,
855,647,124,940,712,206,947,974,588,716,110,561,464,657,492,722,212,327,101,
580,736,785,875,370,025,120,130,509,185,501,847,027,753,878,653,262,261,831,
680,140,275,404,371,748,510,617,653,067,579,434,576,493,696,108,448,304,305,
510,509,765,376,885,556,334,405,552,496,972,087,693,403,533,240,031,475,792,
482,297,673,716,104,394,351,459,913,247,419,775,797,712,955,964,556,766,006,
118,665,109,640,000,588,636,364,995,256,817,548,235,717,620,905,969,782,099,
513,333,602,142,679,531,933,377,410,852,491,553,265,478,660,203,323,201,459,
722,903,064,161,479,792,235,155,839,664,457,274,925,302,506,174,568,255,306,
535,594,193,009,004,515,857,593,659,956,317,113,652,176,568,544,429,791,656,
819,560,698,449,636,357,005,615,771,935,799,984,872,458,953,230,184,093,239,
144,170,435,012,143,475,830,392,618,544,636,507,758,523,704,444,753,408,955,
968,709,742,473,103,893,014,988,462,952,032,041,679,059,396,277,802,031,246,
287,117,110,740,370,515,379,152,383,547,007,513,156,602,099,733,202,387,565,
953,958,033,683,886,884,736,126,003,569,344,328,936,244,135,678,598,783,728,
603,667,131,669,580,080,085,726,004,259,131,251,411,151,705,732,706,415,784,
793,555,906,185,422,187,349,119,355,750,933,546,107,128,542,383,634,942,211,
790,130,678,123,673,715,879,292,084,083,375,665,651,866,815,884,615,918,952,
877,111,862,505,080,097,015,527,654,353,765,715,801,746,681,191,270,534,101,
795,673,555,606,014,872,838,423,768,845,727,272,697,468,726,448,141,408,874,
786,990,555,053,093,893,609,440,128,017,753,175,274,138,384,955,095,932,507,
526,301,225,444,039,778,142,562,584,563,839,799,462,859,773,090,946,266,360,
990,137,359,066,256,190,976,100,762,323,577,017,599,809,237,050,412,889,188,
317,833,087,390,241,146,850,924,683,808,453,735,001,774,513,626,010,873,387,
242,809,969,033,650,775,521,185,462,765,689,230,315,694,386,265,823,214,354,
150,764,948,211,639,368,703,127,090,030,764,307,409,842,576,611,785,189,404,
314,571,420,169,511,696,849,911,241,260,832,654,099,832,779,522,953,732,668,
679,033,770,909,253,201,730,114,646,147,370,658,028,913,887,330,700,402,216,
308,083,713,613,938,297,067,288,333,790,765,924,458,777,335,044,285,838,766,
862,019,984,188,731,791,313,628,101,423,837,993,623,870,756,528,641,709,388,
113,899,012,333,407,287,399,258,125,653,560,028,141,975,899,112,414,522,467,
740,385,554,265,290,417,088,153,001,821,842,172,737,512,154,480,858,170,981,
808,368,092,763,327,844,881,685,911,966,530,418,026,260,397,233,835,660,672,
652,745,042,713,046,816,519,911,493,011,189,936,905,475,934,255,713,165,668,
853,313,168,989,995,325,442,320,942,853,007,047,398,247,889,987,205,672,847,
740,331,462,323,115,269,252,503,037,136,298,041,145,802,258,435,023,784,913,
411,094,193,565,122,936,645,040,983,151,799,931,795,717,736,049,966,995,667,
640,002,011,467,791,214,912,586,867,139,296,978,038,774,857,886,444,049,811,
308,334,568,335,330,303,220,205,937,842,637,360,297,322,333,738,013,408,053,
639,462,531,819,346,748,931,902,805,357,188,843,572,147,965,322,419,700,632,
459,808,436,851,134,462,119,706,339,611,483,506,309,124,900,097,170,906,087,
320,239,724,147,495,749,751,035,703,812,137,920,390,815,341,712,368,714,234,
469,361,711,576,285,459,193,163,383,803,677,406,472,461,865,537,677,360,374,
173,469,622,556,203,984,490,217,904,367,603,672,925,296,697,841,513,123,988,
189,042,420,327,904,780,058,323,788,628,526,123,005,907,864,072,619,876,016,
046,454,860,071,815,424,118,588,879,188,786,841,940,543,200,411,929,553,251,
498,125,333,747,306,757,397,624,469,044,295,622,463,914,873,543,594,102,102,
463,434,838,780,269,365,585,519,915,583,879,896,212,264,299,043,891,419,046,
875,159,677,004,219,807,580,095,408,134,074,733,595,389,819,003,479,259,661,
157,822,190,086,310,487,417,030,552,764,263,396,608,848,252,577,188,491,590,
098,838,903,135,052,292,317,592,053,008,917,812,340,358,521,003,344,178,435,
886,180,059,725,681,851,075,138,006,383,003,291,343,229,473,913,088,193,948,
061,160,769,437,888,359,003,141,992,784,823,398,987,941,825,003,946,808,175,
455,368,445,358,562,968,610,427,502,290,202,540,524,556,352,427,999,811,409,
813,787,211,296,303,266,913,405,971,711,254,298,372,174,860,546,348,220,959,
222,538,433,971,650,469,989,484,779,358,732,015,144,080,944,563,908,546,263,
387,623,684,555,295,343,510,696,152,525,922,851,226,820,781,257,348,866,167,
841,223,988,086,281,255,635,689,178,235,194,803,444,937,006,281,909,428,929,
797,242,002,430,489,355,914,420,755,540,218,293,801,777,285,286,996,891,700,
623,197,913,566,072,575,860,665,202,183,370,272,641,017,661,349,078,760,961,
369,673,359,707,544,171,713,676,856,059,265,535,588,937,097,984,152,665,704,
624,532,530,177,209,594,522,846,545,408,958,215,677,978,243,008,608,985,448,
264,424,949,503,269,967,511,058,100,853,185,196,335,906,440,793,163,583,547,
816,864,728,350,652,308,106,097,919,598,421,779,371,570,833,344,939,754,117,
163,443,619,089,642,346,644,617,810,406,940,264,090,663,065,499,158,520,944,
323,177,400,957,889,490,508,136,176,521,549,937,643,977,167,421,859,897,634,
612,363,802,996,519,266,823,475,733,392,395,092,737,074,910,190,682,075,458,
105,751,640,799,732,138,384,802,861,177,241,697,443,050,383,270,342,705,303,
832,028,219,323,608,788,762,391,602,281,488,501,625,437,528,130,141,588,422,
885,608,470,430,096,924,496,302,737,263,075,200,166,114,116,863,963,093,163,
290,070,565,895,085,487,268,919,186,037,468,388,005,491,580,234,902,666,979,
713,218,416,815,689,078,711,067,710,475,138,425,394,488,063,537,294,866,245,
832,625,578,353,316,108,805,896,551,600,310,695,875,774,570,036,273,580,305,
871,942,441,561,522,622,970,225,700,630,899,219,849,118,132,204,450,948,110,
885,420,415,431,335,732,467,482,324,857,858,766,920,558,320,727,295,065,131,
725,751,325,692,958,649,994,757,880,888,947,042,617,612,587,734,971,025,121,
448,486,554,970,500,193,414,615,251,192,823,963,497,689,321,653,968,099,747,
106,939,224,156,370,689,700,666,282,874,571,633,218,106,265,434,082,405,197,
527,425,721,213,539,861,607,190,931,115,354,205,808,890,089,230,981,388,228,
355,873,078,958,633,117,852,426,917,255,477,901,766,043,152,381,141,638,854,
349,424,980,283,900,751,883,032,022,235,424,074,543,043,841,189,748,996,451,
810,716,310,287,816,609,104,126,309,038,671,265,830,277,425,763,404,563,195,
099,534,536,949,050,453,486,420,057,331,206,337,238,178,655,281,549,692,199,
013,552,014,116,253,024,904,890,537,937,718,454,662,437,718,078,765,726,822,
952,305,728,176,201,475,327,845,192,639,347,303,564,710,179,453,185,048,123,
933,546,197,174,099,294,162,480,549,191,229,181,719,213,216,359,260,993,781,
522,394,903,212,850,744,227,560,550,236,607,862,866,848,975,592,035,295,494,
663,078,491,752,973,774,400,829,943,815,247,473,499,895,476,239,288,848,242,
935,991,835,049,848,973,557,384,191,361,134,705,280,065,063,728,062,379,920,
509,759,380,612,878,429,202,280,746,563,733,297,444,270,133,967,826,794,954,
030,634,654,292,256,011,173,147,086,961,744,869,645,934,024,942,905,411,807,
988,377,211,737,056,837,694,958,818,824,139,570,717,372,575,348,195,490,041,
636,880,252,982,829,031,638,472,183,433,775,889,045,933,556,325,687,761,937,
975,893,965,363,846,131,178,109,960,142,378,976,931,364,303,684,409,050,095,
204,045,487,639,092,776,157,792,531,962,255,436,944,060,868,743,010,935,724,
957,539,336,493,491,660,244,795,616,428,493,480,575,436,709,564,280,774,760,
004,137,806,739,472,590,613,309,993,909,782,443,940,915,594,326,413,351,373,
206,442,195,075,105,613,135,990,481,142,313,942,657,986,709,668,296,554,438,
926,888,857,953,320,467,700,928,289,979,876,405,290,111,908,691,158,139,147,
947,462,355,247,932,210,531,335,438,579,904,666,711,735,260,740,021,719,071,
299,872,206,718,315,698,584,107,401,678,952,933,348,453,257,745,529,438,625,
648,357,244,074,365,442,195,219,757,677,358,131,191,022,475,579,928,103,367,
595,164,289,615,775,553,365,490,779,273,845,076,222,245,188,149,541,241,310,
325,698,620,567,998,196,054,795,779,305,627,185,795,197,189,782,000,854,444,
478,384,074,439,860,424,141,684,300,496,416,817,835,560,168,916,963,622,284,
170,489,305,877,238,872,045,917,330,184,688,463,529,803,039,142,045,957,999,
534,250,751,623,688,019,201,061,817,156,086,858,290,252,097,333,504,258,386,
029,315,690,657,563,905,846,963,738,094,990,209,592,871,759,950,662,703,446,
747,291,084,127,906,514,222,907,704,585,471,376,671,335,519,818,123,832,090,
955,630,150,778,464,692,448,136,144,590,662,015,560,437,113,658,250,602,696,
142,602,566,679,932,690,595,187,654,943,513,680,023,800,870,723,720,581,974,
753,718,882,686,620,608,491,500,310,075,337,034,969,461,579,820,623,745,570,
326,892,855,431,856,270,583,621,486,817,702,759,052,011,304,904,165,366,088,
770,698,718,995,031,713,692,601,083,141,313,274,086,746,197,211,864,423,250,
510,932,638,247,051,597,632,310,549,015,329,080,642,884,920,131,832,267,476,
732,469,216,507,771,404,435,952,035,175,757,804,465,889,667,869,225,943,867,
433,298,045,798,477,790,607,547,716,380,933,565,339,800,171,143,587,797,463,
057,442,597,789,502,703,278,831,263,244,080,169,849,448,160,537,659,996,021,
535,541,024,967,394,419,671,789,083,087,960,623,564,845,947,588,501,552,696,
036,543,255,808,009,068,190,284,040,335,979,736,506,496,959,029,773,981,006,
500,695,541,184,633,281,810,388,866,043,400,215,623,292,663,826,475,880,964,
229,157,823,355,368,038,003,113,115,066,250,140,028,338,906,641,695,798,691,
067,249,090,589,025,411,312,822,557,469,170,850,939,796,394,219,879,360,759,
442,262,577,814,631,161,078,564,962,212,754,084,407,670,018,928,045,336,413,
196,861,143,097,013,546,609,149,105,027,432,666,792,154,968,510,522,354,221,
269,798,324,618,111,473,385,436,034,698,352,905,616,662,372,335,106,061,515,
884,060,527,754,475,830,853,251,285,398,484,896,545,392,468,999,401,604,664,
550,930,062,846,028,507,265,159,172,182,525,459,488,771,160,907,920,346,151,
467,080,967,878,789,573,112,745,160,024,719,366,705,287,750,940,333,002,535,
668,269,525,881,940,130,435,631,470,719,869,627,489,672,460,766,457,869,227,
921,732,406,441,534,961,384,682,100,574,377,523,860,150,489,905,550,317,150,
351,077,889,927,023,223,375,141,222,102,494,803,264,747,771,300,470,017,861,
450,480,811,050,709,045,111,551,491,517,724,946,716,491,791,616,872,908,636,
191,103,813,547,152,066,289,269,578,867,412,845,479,215,488,838,963,026,578,
304,095,482,922,455,548,980,151,531,340,881,401,470,854,946,013,267,143,729,
112,785,288,397,115,129,078,431,570,064,795,773,348,472,170,387,994,770,414,
665,870,460,185,862,625,112,410,849,795,978,190,611,954,698,304,785,845,264,
513,743,500,856,419,253,638,084,703,868,526,854,095,387,720,835,419,175,197,
941,046,372,036,188,701,411,888,153,768,791,838,454,090,216,738,697,851,464,
496,501,585,402,257,067,173,981,256,707,776,444,488,538,481,412,839,913,579,
854,377,462,343,791,540,105,860,261,003,805,904,028,687,351,488,853,823,337,
084,740,158,309,054,329,657,426,242,578,667,003,052,383,941,492,903,412,057,
212,539,760,205,660,519,560,364,345,762,906,924,118,761,305,980,884,836,718,
218,155,302,653,334,551,931,861,281,506,665,583,572,992,281,550,321,714,021,
433,919,763,856,057,049,385,854,807,006,387,094,543,504,797,892,942,536,163,
022,367,296,092,767,328,788,214,714,694,211,500,096,062,906,756,016,688,858,
714,188,644,681,055,281,295,543,338,882,230,853,083,580,539,628,211,272,036,
543,503,820,649,508,219,552,773,948,887,459,139,714,326,930,689,615,463,409,
874,971,237,804,799,774,843,784,944,175,857,204,926,770,215,596,684,232,858,
651,209,677,751,415,480,523,214,753,086,965,484,400,732,298,399,151,765,907,
724,158,282,415,038,585,060,673,396,443,430,637,440,786,210,251,242,101,101,
289,006,902,816,951,180,875,751,098,006,886,708,664,155,047,742,861,954,135,
509,132,618,347,843,775,361,068,251,317,077,791,521,529,613,946,992,843,161,
994,633,169,529,863,254,719,278,857,535,571,101,017,726,373,358,075,056,759,
423,109,533,495,912,660,756,501,794,186,410,667,208,500,091,685,098,920,894,
609,583,119,474,862,905,960,097,357,217,971,799,763,093,873,234,951,036,392,
759,645,030,042,820,584,500,806,489,693,582,311,664,834,829,672,518,851,397,
458,979,411,351,929,896,825,317,325,015,726,875,936,818,009,957,196,246,992,
169,533,577,920,020,918,468,566,052,806,413,302,902,531,016,531,915,379,611,
786,719,883,116,671,043,590,309,352,467,619,943,996,368,524,429,757,014,628,
032,251,941,315,962,416,879,307,690,118,043,338,786,649,226,745,935,962,235,
280,990,823,609,411,928,699,617,816,971,703,983,380,951,152,105,103,900,666,
339,673,463,806,461,387,127,892,934,769,006,480,597,282,101,450,991,281,638,
992,111,228,710,603,550,528,976,107,799,712,510,271,852,050,460,982,574,572,
006,010,140,414,186,358,644,246,649,797,560,673,225,643,882,653,010,599,880,
628,268,431,137,159,318,498,121,797,028,667,632,003,399,827,120,418,616,825,
509,064,975,657,082,452,174,365,151,821,872,855,181,063,969,054,325,178,537,
469,204,257,761,715,566,651,427,216,370,312,410,370,892,776,784,125,050,419,
355,840,156,916,837,119,835,092,336,502,893,100,773,104,497,776,868,015,699,
782,395,284,712,502,937,911,700,038,274,713,977,964,913,481,267,569,170,237,
810,406,366,329,392,901,412,178,574,905,351,877,641,513,790,854,029,529,616,
458,931,418,377,492,431,040,672,899,433,248,380,532,343,662,308,637,001,288,
187,439,662,613,111,637,987,992,415,441,153,905,498,396,235,080,581,175,180,
525,237,830,676,317,657,116,795,669,738,574,923,708,700,648,084,301,564,290,
450,589,797,483,894,130,268,191,595,134,909,268,025,094,841,434,143,407,054,
964,152,437,125,862,698,280,037,928,558,950,208,259,403,402,178,644,704,447,
684,981,797,420,817,380,700,580,573,649,890,822,628,495,063,347,624,938,193,
697,004,066,847,371,716,403,564,739,517,246,743,285,032,198,328,268,325,384,
876,726,727,776,372,135,415,571,934,815,399,996,754,107,209,625,340,539,405,
357,623,385,045,047,872,798,500,874,990,064,746,231,929,284,371,276,514,380,
849,628,517,908,864,528,595,659,983,989,796,230,210,360,897,110,660,357,346,
921,608,049,306,377,250,009,150,878,911,529,710,517,742,064,974,000,674,094,
331,631,394,245,274,504,099,716,207,396,463,130,262,675,757,031,162,866,694,
577,807,284,506,553,311,350,178,322,580,267,784,594,162,541,626,059,593,907,
359,714,488,996,944,545,510,041,143,750,979,002,581,359,935,747,157,189,826,
828,065,719,286,249,020,337,255,879,622,867,856,946,015,913,572,677,727,396,
675,581,788,880,975,634,353,119,503,421,028,716,149,567,238,710,077,080,764,
204,473,786,735,496,809,014,468,744,663,790,381,694,415,485,479,455,240,327,
250,358,639,604,476,041,020,920,055,100,503,696,504,847,706,308,835,790,349,
046,276,733,583,668,795,827,554,943,059,444,328,868,640,501,184,602,068,732,
791,359,274,382,183,190,237,503,832,632,368,918,729,588,736,808,094,202,265,
537,830,730,444,972,829,936,633,382,344,052,174,239,294,734,901,174,675,108,
474,819,190,995,598,070,593,102,658,629,700,397,301,967,446,045,416,814,863,
790,396,855,917,722,924,660,497,711,719,060,866,267,573,790,267,717,794,106,
356,823,651,246,961,246,483,013,000,458,748,421,043,585,709,770,548,580,497,
960,310,566,161,310,192,535,939,080,562,146,665,915,384,664,208,421,778,903,
611,980,912,041,918,571,141,347,763,333,929,213,369,384,844,070,596,070,420,
894,445,368,118,175,048,160,043,902,152,929,613,552,722,115,146,366,045,073,
660,998,184,404,286,437,288,133,332,192,878,414,646,943,963,316,663,249,955,
454,313,991,720,571,886,915,570,663,356,560,150,671,494,538,100,588,313,473,
851,624,281,944,780,258,779,105,246,092,183,657,844,722,875,672,024,112,434,
926,269,379,058,177,263,497,612,092,913,216,154,254,538,460,923,237,427,752,
918,899,126,908,627,346,704,284,671,751,432,792,606,069,115,525,088,780,834,
541,837,425,326,486,402,286,742,359,470,026,052,150,292,182,659,212,477,566,
449,079,213,204,700,510,089,576,170,252,099,781,004,073,621,613,873,711,998,
983,483,231,621,817,809,470,489,480,079,808,404,502,800,905,329,227,516,129,
076,173,923,646,798,221,656,125,624,959,079,152,874,028,183,208,619,489,322,
634,787,060,270,940,698,633,917,506,752,068,213,406,147,913,607,141,115,580,
770,736,370,822,038,450,756,039,213,644,227,934,893,504,170,666,337,738,844,
106,715,861,919,995,105,405,271,375,143,221,235,704,378,579,673,238,849,997,
416,141,815,725,040,176,170,848,764,250,826,557,405,803,444,804,734,216,088,
467,731,734,998,419,824,731,203,106,448,660,702,690,016,295,876,478,877,048,
601,367,798,478,490,298,358,724,104,372,274,477,602,058,536,167,118,901,499,
681,923,548,992,547,194,254,091,396,808,750,999,027,695,930,253,751,771,679,
652,559,500,723,928,503,036,324,944,772,214,972,075,052,497,470,465,516,648,
929,212,422,591,194,329,299,509,458,922,036,898,550,167,304,528,485,167,442,
735,375,133,982,462,450,702,091,297,367,263,765,956,034,968,439,183,239,150,
338,120,816,495,317,449,652,983,842,509,257,341,090,268,563,960,711,482,633,
432,288,373,720,919,806,305,070,318,205,053,323,239,126,020,373,207,305,656,
243,530,770,999,869,093,058,897,954,841,826,865,282,020,915,290,356,450,479,
075,211,787,389,038,529,364,140,965,183,924,738,940,456,311,352,831,805,539,
203,266,767,244,610,572,922,716,469,914,111,424,152,481,549,669,030,911,999,
553,768,056,405,881,970,365,835,206,901,720,735,751,329,553,214,572,987,194,
408,847,654,257,213,602,340,614,191,659,018,610,551,344,012,880,240,461,915,
974,863,159,076,582,480,181,774,683,551,761,414,658,205,854,671,184,016,318,
286,515,473,386,602,733,983,107,487,403,146,923,629,535,442,673,458,410,394,
513,362,905,191,909,118,867,084,948,699,756,674,552,941,078,703,492,114,197,
545,298,683,938,250,559,311,224,854,239,333,806,354,321,807,061,263,679,207,
288,488,682,910,277,620,441,701,714,031,297,973,788,502,332,858,034,590,744,
556,799,353,488,997,868,970,148,208,546,380,807,058,226,041,364,172,807,913,
101,318,306,594,759,402,906,961,830,659,348,797,545,359,887,741,926,397,247,
391,555,607,044,330,842,081,614,352,965,549,269,465,449,765,401,536,931,036,
368,782,498,958,159,187,512,175,902,334,178,975,781,456,095,687,698,885,708,
913,519,079,103,079,254,040,192,805,554,189,245,170,108,512,966,259,403,973,
782,861,341,011,855,249,936,280,156,638,225,502,283,174,884,715,415,623,755,
956,491,905,113,655,724,468,142,815,832,430,120,707,804,668,340,787,795,703,
348,358,279,659,971,696,254,712,442,042,400,793,276,825,564,461,565,052,071,
737,166,790,896,951,105,789,151,631,541,091,848,165,272,748,084,097,100,554,
463,882,231,217,951,819,882,730,468,047,349,968,053,922,201,254,126,463,357,
021,917,860,511,499,666,531,847,920,203,837,347,355,260,591,771,813,112,698,
533,321,660,473,548,632,877,679,414,072,667,224,650,472,179,805,652,424,180,
765,680,976,108,686,755,445,952,345,387,983,614,428,399,306,452,029,381,943,
882,029,172,397,749,728,501,885,629,295,437,335,572,521,508,653,312,441,953,
040,079,583,951,388,411,064,130,588,998,760,171,226,242,973,578,252,288,370,
515,746,076,511,626,827,571,517,511,632,243,239,955,210,091,889,132,972,511,
323,563,371,483,254,156,828,960,879,606,681,607,290,921,291,254,576,011,234,
670,634,192,450,209,980,116,204,647,501,727,396,708,782,634,983,912,184,679,
783,893,865,060,656,622,070,631,021,072,644,294,724,301,426,059,693,555,055,
897,530,174,641,861,607,770,390,976,164,009,222,896,835,504,678,234,953,553,
136,329,141,189,697,014,041,524,640,230,610,158,707,150,356,255,851,169,276,
332,512,215,856,571,755,607,292,698,746,669,958,122,581,136,650,432,793,013,
758,359,774,674,818,095,797,085,367,902,676,954,542,882,611,853,832,436,021,
707,601,902,392,010,074,381,239,731,651,588,740,524,265,634,999,934,511,785,
467,636,091,392,753,298,845,189,060,133,540,095,725,971,683,906,251,756,895,
283,944,060,000,406,505,401,710,926,771,131,147,626,564,810,187,232,886,801,
606,078,020,940,018,857,304,507,877,266,848,626,725,187,342,865,064,384,041,
024,926,905,182,587,437,297,765,012,369,454,035,585,392,278,157,366,345,996,
963,234,202,875,185,543,998,640,333,346,529,053,151,003,399,158,049,005,953,
508,444,990,027,166,414,551,749,185,702,284,373,676,063,224,226,418,240,722,
358,791,361,578,632,140,502,322,076,640,844,395,625,762,197,465,337,476,145,
474,966,809,456,522,033,566,113,827,458,129,283,021,899,259,641,754,958,013,
535,534,505,535,252,176,168,302,523,038,096,877,556,703,081,849,916,034,273,
350,058,287,190,251,528,211,546,061,452,128,992,959,849,377,038,877,674,404,
022,128,667,329,502,285,124,341,290,354,107,998,219,786,051,474,228,589,339,
310,844,083,872,970,249,341,414,266,679,629,747,642,447,543,152,314,052,936,
392,096,023,742,883,848,806,243,644,944,194,871,581,483,128,427,033,430,606,
467,694,644,838,600,627,728,371,200,490,294,896,656,130,044,608,835,339,899,
971,330,766,060,592,132,781,360,210,457,023,032,997,103,909,881,075,394,957,
337,439,921,151,945,545,402,107,742,247,814,974,437,505,451,337,661,707,908,
681,071,245,599,324,108,219,799,390,857,679,510,935,140,566,491,847,625,709,
242,705,567,677,080,556,711,912,581,700,375,672,088,947,857,757,018,886,968,
026,772,199,271,510,507,291,258,976,735,968,724,971,749,203,371,825,231,645,
972,410,952,215,124,652,687,953,959,167,523,104,136,690,741,533,240,450,187,
360,251,657,487,031,014,128,722,625,098,184,457,741,459,775,328,324,178,729,
212,041,203,799,002,175,813,521,314,478,866,481,205,587,648,046,712,420,478,
523,069,092,195,639,765,168,584,855,611,532,021,698,729,688,526,244,095,933,
391,170,047,415,361,870,829,358,944,149,395,973,308,851,191,075,644,245,445,
604,971,048,059,219,114,992,795,388,570,714,291,875,035,050,002,809,652,513,
111,846,778,053,588,661,286,715,513,492,163,879,677,831,085,496,076,987,818,
219,329,647,082,757,402,027,739,920,724,110,988,751,511,763,692,533,035,830,
084,064,990,121,155,856,303,530,634,493,245,600,407,535,184,521,646,130,331,
814,998,537,680,081,328,035,881,682,904,766,496,693,006,710,331,474,134,605,
768,705,249,632,549,962,066,629,826,213,703,793,042,317,093,116,971,606,578,
762,358,184,903,203,418,236,093,051,119,190,071,316,922,729,217,726,345,162,
489,005,741,716,918,019,957,040,163,750,454,837,887,691,782,304,778,150,005,
051,625,458,787,826,587,848,841,607,589,989,074,399,484,135,482,651,913,692,
536,401,811,632,415,149,731,454,383,060,510,262,519,260,872,483,581,729,231,
674,611,482,993,840,096,848,549,321,826,147,825,413,302,842,322,649,642,703,
186,753,032,468,271,516,979,055,103,892,971,093,883,144,824,478,033,408,156,
940,027,581,696,515,493,199,381,433,528,704,643,227,589,962,144,141,268,785,
399,416,052,943,769,451,740,536,214,329,539,579,702,988,915,324,956,424,534,
354,240,450,359,600,612,689,198,609,598,407,791,785,135,507,085,381,966,288,
467,516,749,410,473,968,472,873,776,663,419,241,782,681,524,517,678,616,352,
320,570,177,681,126,783,129,892,978,553,065,255,197,310,369,341,747,183,973,
737,014,833,766,884,081,036,833,831,011,262,343,728,210,578,869,400,476,538,
578,607,358,457,572,874,874,517,512,628,030,010,546,017,463,716,568,783,144,
841,192,471,811,915,081,323,695,185,642,360,656,999,269,597,685,831,406,470,
468,298,820,286,838,638,549,676,328,600,091,670,019,024,226,429,439,561,079,
638,721,090,307,684,737,169,972,483,628,101,942,240,540,404,000,163,911,165,
968,471,295,975,636,691,850,729,919,514,442,146,660,670,122,154,338,840,831,
172,429,976,000,941,601,000,162,924,389,404,689,376,657,928,991,707,903,937,
550,352,089,384,334,814,583,402,726,379,629,423,534,390,916,301,149,759,487,
754,985,392,023,478,271,185,199,660,927,990,312,212,866,920,855,940,796,218,
065,291,926,915,850,370,183,333,819,684,779,897,569,181,350,718,013,350,308,
554,842,673,235,750,148,939,647,042,303,729,867,431,796,301,122,427,246,475,
382,898,629,386,647,070,809,885,743,627,033,055,905,267,584,793,245,861,707,
448,695,611,725,227,610,755,548,974,034,651,094,780,729,985,549,019,071,240,
276,143,333,368,716,971,247,087,370,819,591,979,399,179,473,031,720,127,582,
918,769,016,125,045,214,851,252,331,137,637,386,811,131,390,054,345,495,966,
034,165,581,686,853,427,608,893,457,133,275,078,127,440,811,980,209,575,721,
599,592,594,496,174,362,302,162,665,364,445,369,432,144,728,230,125,051,864,
106,828,846,784,214,215,762,060,627,635,427,434,501,130,517,243,383,200,659,
012,678,223,023,565,308,703,272,456,334,841,745,064,985,724,642,051,089,558,
813,990,668,297,665,906,456,648,414,711,900,201,089,962,364,213,394,211,860,
852,341,247,990,469,720,896,711,427,933,881,403,989,840,172,894,748,432,117,
691,380,229,092,155,015,038,676,316,512,192,131,228,681,636,648,815,624,504,
907,443,377,811,795,016,505,389,516,220,701,539,832,697,593,695,922,567,174,
482,806,892,724,469,074,859,503,423,299,048,211,488,270,889,831,635,757,014,
512,481,521,046,095,051,615,147,832,846,304,709,348,180,523,375,112,424,968,
273,934,654,455,557,339,259,574,360,311,129,995,272,464,058,672,957,811,333,
308,261,033,847,688,213,581,041,418,469,686,071,288,891,957,216,381,355,066,
037,218,839,186,823,994,338,569,504,317,875,876,620,775,524,802,322,127,610,
696,346,425,410,720,624,584,770,344,745,658,878,815,761,707,772,910,826,525,
331,437,667,565,632,964,623,041,959,612,359,106,095,037,716,439,051,779,533,
988,597,367,204,758,376,512,767,835,772,284,102,437,751,448,626,360,784,446,
381,087,412,655,302,677,682,645,864,120,796,836,005,705,574,630,801,785,944,
366,956,793,217,439,009,654,698,933,136,651,132,931,791,752,946,882,011,342,
421,129,845,917,516,862,585,515,428,814,437,094,085,737,026,140,772,736,860,
516,760,921,783,272,424,321,995,945,254,581,222,468,188,008,483,996,289,874,
841,003,104,253,991,379,658,571,761,247,509,122,570,651,679,790,142,217,882,
230,718,348,833,057,780,721,376,574,333,653,313,438,892,118,051,138,366,924,
814,991,056,985,418,393,845,221,167,066,607,312,407,689,738,577,536,736,800,
453,068,667,557,320,793,830,383,752,334,337,877,425,839,426,803,476,304,236,
443,580,579,822,199,967,217,913,119,148,501,313,919,892,629,599,639,378,590,
160,118,410,746,410,166,222,951,957,137,901,760,998,048,919,156,925,621,094,
750,197,269,629,154,107,454,269,852,236,840,564,139,904,397,372,413,954,976,
255,673,854,576,071,941,923,636,869,044,284,737,646,936,531,365,122,574,232,
547,304,454,172,584,112,134,474,685,061,065,398,684,187,142,504,511,092,893,
899,614,472,744,151,471,193,112,476,688,628,775,642,775,692,460,012,167,124,
596,329,872,472,914,445,896,055,661,196,564,477,161,105,204,802,529,901,247,
965,784,807,299,610,411,527,989,871,086,713,738,640,198,825,424,087,721,358,
911,385,079,053,674,209,169,004,001,907,013,382,839,902,491,632,295,241,843,
614,912,959,623,341,836,726,239,832,905,168,730,950,690,625,811,415,963,879,
808,955,460,027,604,872,608,440,784,934,379,541,832,084,099,233,504,501,810,
915,482,817,949,524,339,123,047,663,302,369,278,570,007,915,110,716,740,972,
778,167,778,025,748,240,225,594,428,639,232,382,887,073,593,005,071,078,228,
471,430,646,773,785,584,013,416,827,047,673,885,313,155,383,590,606,298,562,
190,894,828,781,016,261,540,735,366,788,414,229,676,235,628,266,697,446,992,
720,068,028,315,201,177,822,881,176,122,654,354,566,316,168,484,526,010,131,
875,863,177,189,910,764,550,447,770,934,566,598,079,215,312,755,100,220,941,
116,009,026,847,447,321,145,664,944,866,899,826,673,695,055,184,719,652,760,
444,873,426,437,492,453,470,266,545,725,590,328,892,953,216,264,644,118,421,
207,027,385,893,558,774,245,160,243,031,242,957,237,286,723,626,513,524,613,
311,262,795,660,892,718,554,172,821,915,225,380,620,339,276,846,810,680,556,
962,194,775,602,104,653,874,742,224,497,299,783,764,255,498,987,690,746,842,
798,146,243,929,976,900,962,546,535,044,442,840,351,021,981,081,113,351,456,
934,804,543,433,973,854,752,647,122,014,622,215,390,787,475,844,368,201,244,
789,224,128,825,169,678,061,584,694,423,641,188,423,936,161,926,144,995,530,
401,146,264,416,229,760,233,019,088,665,506,800,577,575,898,325,939,494,276,
038,754,385,732,013,257,819,795,829,778,714,581,213,274,420,747,259,886,519,
959,252,702,992,749,279,531,490,384,435,312,303,280,768,959,729,999,475,710,
079,632,769,033,316,577,884,575,982,722,996,444,897,037,585,573,767,923,393,
875,884,517,237,396,611,294,535,775,520,203,132,916,191,330,819,013,944,660,
380,316,803,760,402,589,984,706,284,919,329,402,981,649,315,961,531,622,113,
693,262,175,878,104,392,768,020,981,749,521,177,117,542,833,254,224,678,305,
325,174,180,772,017,590,621,035,486,555,742,610,567,516,068,556,124,184,242,
540,006,945,052,248,383,960,871,560,431,513,562,330,179,834,412,757,944,910,
774,954,634,553,116,756,196,108,075,945,117,416,639,207,001,012,719,718,354,
888,497,525,903,442,514,906,471,141,281,111,041,912,734,069,179,994,945,703,
636,977,608,787,148,191,850,343,176,915,189,719,007,402,722,675,867,437,466,
464,537,353,815,018,058,739,655,464,796,020,894,874,470,523,979,211,709,103,
060,616,984,482,554,760,727,941,697,677,228,864,831,299,372,092,576,029,516,
982,840,730,979,747,758,472,361,565,527,457,569,492,885,626,895,017,701,382,
194,953,789,173,342,292,732,042,591,733,601,324,258,949,528,007,341,129,870,
327,145,185,000,735,195,419,566,338,201,198,994,152,597,043,737,596,728,736,
005,960,029,382,869,334,132,582,020,110,889,493,429,735,131,283,676,983,313,
815,127,764,383,864,519,011,994,095,778,993,930,008,597,284,208,262,353,289,
380,081,599,303,751,690,561,111,488,419,243,272,029,304,061,992,684,063,687,
631,752,594,400,151,814,298,266,991,254,123,175,534,968,432,788,009,940,192,
914,126,034,088,613,600,540,161,827,778,327,091,404,240,822,909,941,934,086,
091,662,881,394,060,916,226,580,743,837,869,149,533,460,399,523,078,415,776,
965,421,324,012,210,349,441,226,454,050,990,814,061,387,836,761,441,225,735,
727,589,729,039,690,449,667,954,083,267,483,661,239,218,390,999,018,464,051,
461,266,122,617,716,893,179,105,871,937,399,170,841,035,163,640,278,512,809,
163,788,087,466,579,997,557,761,910,622,244,278,472,588,921,055,568,393,479,
509,088,196,419,765,585,563,761,102,685,813,470,626,387,260,882,749,172,443,
843,487,290,161,274,547,707,987,166,181,192,885,818,003,610,988,344,296,665,
809,523,182,532,576,138,136,342,557,235,962,688,973,091,987,516,642,979,415,
694,260,537,775,161,432,207,896,526,401,337,011,159,210,788,442,049,501,996,
466,730,271,953,525,488,221,721,364,042,288,618,614,504,779,974,768,444,469,
097,242,218,746,749,711,796,540,955,621,744,401,904,082,139,442,643,557,649,
087,850,702,653,724,395,835,837,746,174,303,504,744,539,404,781,826,319,673,
049,479,727,164,286,402,554,864,806,117,859,974,133,769,429,051,198,682,665,
489,312,838,477,372,988,504,459,790,463,712,226,700,182,803,870,810,767,339,
850,375,809,650,453,845,299,898,649,279,686,977,112,734,539,552,512,355,255,
246,137,456,148,779,222,251,336,520,816,192,390,985,438,503,059,012,558,253,
180,003,558,923,137,985,903,973,377,294,033,776,410,266,230,263,887,886,814,
824,265,138,951,719,033,525,014,504,567,098,435,666,138,867,916,703,157,583,
328,098,700,739,057,547,114,901,228,623,374,793,074,054,707,046,926,448,294,
505,146,305,651,660,537,373,784,082,414,393,039,314,745,408,093,122,304,849,
023,477,977,037,344,645,982,190,025,227,719,166,590,242,109,080,192,529,714,
947,368,498,656,961,919,911,310,338,056,806,754,290,626,707,993,021,296,878,
854,375,714,242,746,263,136,906,194,055,428,806,398,219,974,119,119,104,900,
046,594,996,635,638,843,792,223,392,622,165,997,903,444,560,714,219,875,171,
377,055,953,313,811,256,764,478,295,134,303,403,252,996,397,236,595,777,224,
933,616,216,916,176,739,910,006,704,586,425,456,631,793,121,219,803,815,372,
063,096,502,141,758,243,348,930,675,538,925,836,770,847,441,150,916,549,641,
947,914,573,052,569,331,348,626,399,481,949,175,044,918,384,516,140,593,305,
886,080,086,444,110,290,613,227,330,447,081,137,838,175,710,503,064,877,380,
652,472,648,069,110,259,657,285,979,710,846,861,952,435,980,350,268,058,974,
244,317,859,653,148,860,406,506,592,780,581,053,441,653,161,615,095,420,190,
637,634,750,292,371,161,815,603,040,623,447,248,095,944,359,660,052,362,473,
765,777,146,347,779,568,740,585,166,970,676,176,045,831,149,557,517,107,232,
287,202,362,735,717,601,289,126,289,645,545,345,349,148,455,744,994,622,570,
713,493,532,056,348,320,023,412,726,503,593,633,685,371,453,679,664,237,322,
091,944,203,088,879,579,103,488,466,828,691,741,535,651,057,655,482,002,527,
929,774,429,867,984,675,722,502,546,036,833,734,784,273,081,209,851,557,312,
319,005,092,744,692,309,246,608,692,274,010,356,889,242,886,862,080,603,483,
281,504,653,814,880,814,243,211,638,062,278,956,114,026,116,464,754,876,635,
352,512,767,367,735,038,074,323,001,953,711,836,815,192,856,438,484,168,067,
970,023,912,265,966,394,936,639,364,126,308,494,950,744,972,973,749,021,587,
836,425,911,687,130,375,515,524,655,000,360,832,541,069,088,094,512,917,100,
483,831,981,641,491,527,761,380,665,270,415,863,241,855,115,802,526,648,467,
652,438,692,101,019,775,092,536,517,048,453,247,646,024,834,506,545,414,419,
902,872,321,218,525,904,760,270,618,549,130,177,933,732,174,774,979,041,553,
546,704,795,069,083,075,049,344,992,179,683,640,578,795,647,442,232,662,722,
653,896,146,423,357,779,923,041,645,071,213,382,425,338,609,516,186,018,913,
239,275,592,088,329,792,005,965,324,568,913,460,083,537,871,943,662,755,306,
615,666,732,286,714,734,540,864,703,508,313,853,180,902,417,661,817,903,340,
016,296,241,434,889,864,078,973,326,769,372,528,491,321,447,709,445,617,187,
530,702,197,607,345,068,176,976,273,746,933,340,328,865,588,830,743,617,665,
028,993,772,964,814,858,730,596,438,629,341,975,760,226,421,144,732,786,223,
548,764,970,436,564,678,780,504,870,237,741,758,890,491,454,475,002,381,843,
906,305,993,692,072,543,462,419,632,200,602,384,594,127,416,668,809,680,733,
173,862,951,661,165,240,127,675,427,914,472,763,550,141,150,207,267,126,085,
932,305,737,104,725,730,622,162,553,871,571,962,692,426,329,881,223,854,581,
527,799,836,747,260,677,054,190,107,457,836,398,400,406,169,133,394,008,510,
738,609,175,300,600,223,992,920,260,032,247,715,212,859,031,969,285,522,601,
425,310,102,247,657,953,603,665,773,531,661,164,712,193,840,250,109,766,260,
227,212,570,438,785,524,848,239,811,526,230,039,379,096,324,729,236,025,458,
067,533,103,968,605,422,082,365,129,338,490,987,800,071,677,163,474,499,778,
511,663,354,327,021,103,589,301,637,047,546,544,835,170,359,871,146,270,580,
676,866,292,074,764,037,959,262,941,665,689,335,959,697,076,105,164,780,261,
924,240,024,519,830,531,509,413,124,297,055,473,706,474,763,716,520,550,162,
930,212,822,900,002,391,156,135,915,226,819,801,380,732,428,598,446,250,695,
401,895,715,513,707,090,724,455,106,207,779,517,699,994,009,217,690,133,248,
355,821,116,900,690,709,214,041,432,971,257,470,118,761,985,507,613,705,509,
691,157,328,346,339,273,085,753,208,241,624,799,109,124,832,948,099,645,715,
078,663,360,874,648,500,274,678,011,620,872,614,380,747,614,105,031,073,289,
502,772,481,568,980,233,761,231,646,646,392,921,688,366,155,928,625,645,542,
512,517,953,230,764,990,584,818,399,478,658,880,871,849,180,155,763,546,627,
448,017,239,520,076,673,323,177,235,143,714,991,135,470,060,048,136,323,681,
896,734,765,304,162,723,534,875,837,773,613,669,153,125,299,303,894,173,471,
109,727,093,037,401,704,531,557,986,455,812,710,950,806,005,256,781,294,261,
710,715,168,026,710,798,104,298,493,136,411,984,919,746,083,039,238,703,460,
804,846,159,187,313,217,527,904,504,737,887,176,480,782,689,644,712,846,532,
777,243,377,523,866,858,360,161,834,722,979,768,766,641,247,010,843,456,859,
869,049,895,437,654,319,125,679,333,168,254,822,198,199,536,766,520,991,102,
351,279,291,141,333,385,483,956,673,978,830,551,370,789,152,340,152,024,143,
566,218,673,986,349,485,623,959,520,430,148,934,295,353,330,126,383,433,909,
729,339,641,011,184,420,656,473,991,792,127,658,782,711,723,187,010,962,905,
598,519,593,101,367,628,791,363,781,621,569,053,562,592,691,843,385,259,988,
782,945,824,569,307,693,787,070,620,695,828,772,490,992,672,389,818,842,711,
289,578,948,567,931,965,945,257,808,087,764,471,696,372,248,807,665,826,323,
863,529,511,809,490,605,360,708,260,034,819,850,596,051,404,532,890,579,277,
548,609,621,886,394,474,739,861,518,654,193,130,411,138,910,279,836,082,057,
616,524,609,289,849,553,311,410,405,032,380,084,708,587,585,290,169,012,864,
194,924,493,165,121,299,541,908,295,530,608,368,517,829,588,388,300,541,718,
264,598,721,044,372,976,413,634,549,938,106,489,381,832,420,297,775,235,477,
455,843,834,900,009,572,426,321,781,958,861,100,295,747,157,792,358,570,345,
922,506,227,780,743,840,495,999,089,250,241,943,138,720,698,861,756,113,699,
623,054,028,788,726,498,393,350,381,204,097,586,737,926,709,674,382,150,545,
493,047,908,599,142,022,632,893,807,475,396,165,354,518,041,756,982,480,913,
254,625,339,509,162,298,787,634,225,638,042,153,404,159,047,067,636,494,920,
368,153,015,739,105,490,974,001,059,262,020,500,638,604,056,164,321,921,114,
485,795,743,392,278,746,388,560,987,148,639,119,244,276,099,060,477,350,314,
297,770,046,226,647,355,880,906,121,379,584,338,782,156,661,190,824,193,239,
056,075,456,786,334,173,133,811,572,523,459,737,361,103,400,855,939,773,340,
294,847,636,667,501,901,394,882,386,758,877,485,911,945,803,400,305,012,428,
476,066,066,412,312,715,721,756,647,595,291,352,010,783,625,432,647,377,966,
704,991,619,815,512,807,269,044,534,088,899,355,537,255,456,044,397,628,156,
805,865,883,889,480,141,862,375,837,276,143,724,666,743,798,707,765,738,994,
686,463,708,299,257,818,535,462,499,342,783,870,992,226,073,099,030,267,048,
015,533,935,837,578,817,977,501,968,160,678,607,414,963,033,332,657,872,998,
335,925,329,165,667,851,624,605,572,852,747,221,688,669,310,361,325,340,290,
830,057,241,470,937,986,870,172,495,009,546,774,832,554,113,408,550,763,893,
380,997,997,247,599,538,916,853,286,641,765,431,643,732,740,875,162,103,823,
815,393,095,821,307,133,673,523,250,606,858,619,710,185,464,867,663,974,443,
848,052,877,367,639,599,126,167,292,091,335,320,725,316,238,484,112,608,444,
340,781,741,414,088,686,893,931,822,731,078,965,418,835,441,916,795,847,010,
381,463,766,889,694,843,554,776,530,982,197,019,324,987,812,122,556,552,860,
715,881,003,412,800,816,700,329,729,290,170,671,946,062,687,352,886,835,321,
043,753,539,952,578,549,534,272,011,938,671,906,407,219,200,022,947,242,436,
297,842,464,465,485,651,772,476,214,264,795,458,857,278,637,362,019,512,644,
439,808,447,328,716,332,255,101,343,149,660,149,914,428,333,257,219,070,392,
583,366,479,768,348,175,512,664,007,311,222,065,440,822,759,936,150,788,690,
561,833,203,652,413,529,031,086,864,483,444,764,365,692,034,024,379,254,624,
438,717,163,268,005,522,470,332,516,540,741,562,740,821,675,572,015,511,735,
579,579,373,787,064,083,437,880,181,322,244,216,634,252,930,158,564,870,713,
797,595,599,970,568,477,416,583,297,389,125,836,528,699,556,333,848,704,422,
047,723,153,329,863,143,159,712,389,857,729,780,897,819,927,684,592,356,023,
009,953,717,320,316,563,665,980,923,162,220,888,264,766,124,051,676,260,512,
572,205,790,690,305,042,846,737,815,091,858,599,806,396,163,582,963,357,764,
280,685,064,616,225,331,557,042,555,710,940,040,502,439,224,501,492,765,469,
710,462,531,001,920,028,020,240,164,300,992,562,337,246,533,749,389,132,225,
918,248,667,994,673,393,423,727,353,802,156,877,553,062,277,796,771,669,808,
776,774,732,831,529,089,248,579,556,767,966,168,802,578,466,040,861,266,414,
701,905,562,982,375,132,651,649,950,017,353,013,825,713,729,946,931,654,407,
910,690,427,548,067,324,093,184,631,904,732,690,035,125,790,521,503,238,960,
288,919,540,807,515,432,606,410,271,202,962,383,717,111,143,569,931,689,335,
282,041,640,075,817,336,909,379,287,348,647,716,828,332,118,739,020,779,985,
091,523,552,365,362,134,772,995,726,339,933,629,488,837,536,750,204,232,819,
363,149,949,650,335,694,138,580,962,582,707,631,550,899,621,049,390,525,955,
444,665,479,760,722,355,290,266,010,315,491,943,480,637,017,356,081,011,641,
448,716,034,764,714,916,061,715,401,059,939,377,101,076,991,173,631,819,976,
967,831,576,442,132,360,543,016,174,751,112,363,475,361,995,424,501,251,368,
960,604,665,028,755,941,049,237,774,155,048,147,185,810,386,845,824,133,599,
470,077,432,837,242,850,995,075,345,569,958,897,952,311,230,812,576,215,732,
240,883,632,235,441,988,332,950,437,093,403,902,177,866,729,514,412,710,728,
126,732,532,259,039,080,742,548,966,368,629,524,280,759,554,330,705,198,656,
128,025,741,019,892,095,240,577,617,077,548,874,889,226,784,038,289,234,730,
820,945,978,154,443,372,222,914,957,808,197,360,379,690,131,909,059,384,338,
129,410,998,386,333,132,373,401,099,057,444,950,839,496,878,317,746,550,945,
253,310,240,830,270,042,235,047,833,650,850,205,108,019,664,088,681,088,587,
257,926,092,323,292,231,388,481,521,908,413,856,013,350,695,238,288,710,962,
606,457,158,736,892,332,160,497,842,420,151,831,069,183,771,222,036,761,052,
031,413,502,076,465,614,013,402,512,049,434,778,963,245,561,591,822,988,474,
139,286,843,118,106,599,219,155,310,374,755,592,911,661,184,676,911,115,257,
351,771,347,769,851,377,419,317,152,307,896,016,748,025,683,217,199,605,493,
902,693,009,432,859,492,365,384,771,956,676,289,663,371,911,397,770,344,120,
219,471,562,242,358,509,334,483,139,382,637,052,787,967,048,121,618,123,980,
668,430,130,651,588,274,993,801,741,719,302,430,750,301,532,611,008,825,105,
816,592,758,555,250,958,567,555,237,827,594,185,978,628,091,715,737,173,063,
477,133,471,153,886,287,050,122,786,014,471,276,611,587,208,276,904,025,887,
628,412,557,527,510,481,802,814,023,536,497,702,606,127,117,024,140,373,330,
937,781,758,401,351,834,806,499,666,966,750,809,530,718,705,840,312,648,954,
564,445,471,644,388,399,296,411,407,600,534,039,317,405,945,205,983,530,461,
287,485,847,983,829,219,330,051,486,111,787,508,987,923,207,388,922,393,938,
902,334,561,827,877,277,785,322,917,957,778,550,842,369,621,693,823,881,629,
724,185,068,586,021,227,148,064,962,579,750,259,051,539,256,119,527,768,003,
101,748,755,484,269,886,920,053,710,403,431,738,732,728,338,174,298,204,265,
034,813,341,430,907,628,819,045,978,280,895,012,706,754,766,730,879,430,809,
794,977,720,800,828,136,089,788,853,105,687,981,146,918,869,359,915,385,568,
802,680,200,207,756,646,135,249,493,858,433,404,535,037,137,922,388,152,793,
638,934,488,274,638,562,101,406,872,579,092,157,564,055,778,381,722,490,863,
451,153,570,421,402,246,010,064,279,013,046,342,086,294,200,748,131,999,331,
882,922,537,719,744,433,457,288,111,353,692,752,152,170,514,958,253,363,111,
769,158,472,617,024,425,032,698,829,268,374,751,007,513,419,755,695,133,196,
318,823,259,842,568,115,391,104,068,547,165,480,847,004,836,363,575,824,924,
190,946,858,576,951,364,443,956,676,517,144,110,988,845,701,936,899,318,219,
516,673,699,301,583,038,408,501,800,543,780,736,722,291,836,831,823,846,612,
930,429,296,985,805,609,335,356,229,526,529,453,661,523,600,834,207,002,415,
659,444,075,483,568,060,979,865,785,546,258,031,088,053,350,697,089,130,592,
165,861,140,061,967,972,841,566,840,063,678,262,741,583,005,546,572,206,481,
512,261,623,628,546,597,586,954,147,682,654,997,282,539,382,773,967,439,164,
158,794,835,017,570,640,896,492,689,785,424,003,067,922,972,917,337,464,474,
124,564,332,053,110,639,612,124,878,397,746,610,010,465,515,141,937,680,890,
500,264,853,686,296,801,401,373,936,540,317,000,238,203,502,103,235,728,694,
198,751,183,046,064,164,028,124,118,457,538,431,649,543,886,828,983,755,870,
711,805,706,368,488,221,599,617,910,416,462,545,036,083,831,489,297,849,770,
274,204,355,386,980,839,967,567,266,128,715,353,380,111,982,699,218,173,762,
287,631,311,474,922,665,392,166,136,791,334,538,746,719,462,522,071,653,607,
935,138,621,613,992,669,615,382,725,890,100,687,275,531,963,572,888,668,845,
516,875,133,210,345,315,188,642,238,199,520,659,450,492,995,560,464,196,293,
913,548,980,626,194,331,994,282,270,947,534,239,501,189,526,366,496,864,145,
180,988,301,012,981,186,062,745,710,786,473,824,129,698,419,438,536,727,437,
247,918,342,635,418,819,336,082,422,745,779,115,606,328,699,605,648,470,616,
851,743,618,764,344,094,303,586,150,403,037,484,268,006,800,552,623,117,260,
855,869,844,067,445,672,447,359,030,381,414,627,116,883,855,699,755,302,441,
485,393,110,223,758,837,386,551,531,567,853,349,532,380,685,767,308,753,570,
174,175,571,516,564,821,203,504,655,987,321,016,287,043,671,791,876,044,759,
917,476,582,550,231,034,295,645,813,956,618,451,221,866,130,779,778,400,949,
801,182,093,584,473,733,799,065,366,778,763,395,494,918,166,988,692,565,663,
572,296,402,292,352,151,612,409,761,470,041,330,729,112,935,437,060,881,962,
006,838,982,216,308,032,183,801,126,258,381,179,287,781,288,244,328,435,577,
366,234,492,852,767,502,153,891,152,108,259,042,253,676,733,486,130,713,460,
503,403,406,496,361,430,606,094,425,249,158,033,608,115,461,284,104,292,051,
515,701,673,758,201,597,219,096,079,610,932,352,095,173,829,777,891,375,324,
065,858,132,629,837,353,069,315,069,828,251,080,148,581,631,612,023,447,786,
663,167,475,218,670,065,153,671,966,297,534,400,515,896,382,690,165,836,829,
386,512,598,627,151,452,764,044,027,105,464,874,183,481,412,775,049,662,794,
261,972,708,284,625,837,110,505,715,364,856,707,155,681,394,321,971,401,334,
617,471,559,619,605,462,086,968,398,871,040,265,128,244,377,808,462,107,121,
020,982,089,836,993,442,267,119,837,903,749,916,936,376,633,438,198,952,724,
029,485,965,059,311,149,192,935,097,925,824,373,464,288,983,865,458,510,962,
815,353,461,154,527,508,764,596,619,968,149,227,936,196,126,678,221,254,079,
608,851,684,289,214,853,484,952,357,197,238,270,441,504,831,062,599,171,342,
329,423,367,656,670,919,165,855,766,949,538,253,924,754,890,474,557,717,389,
697,764,490,841,584,934,529,287,526,852,080,525,122,214,834,031,464,530,286,
735,337,596,279,708,110,393,026,995,953,235,770,082,424,749,081,261,759,835,
891,115,945,140,526,708,081,705,694,595,506,229,216,360,198,222,819,361,327,
519,630,733,063,387,867,301,117,786,447,891,149,412,375,317,490,869,213,762,
652,408,191,212,144,277,499,960,491,088,135,540,640,893,738,275,152,892,009,
981,756,267,071,385,919,281,703,677,640,886,747,581,348,350,592,227,235,607,
575,220,278,887,950,458,593,456,105,280,943,497,535,988,854,342,807,490,449,
387,181,299,237,329,204,499,556,024,177,500,210,876,087,658,098,964,930,560,
014,983,543,031,649,963,788,529,985,202,140,707,604,182,550,045,763,423,276,
415,784,982,845,052,904,968,885,900,731,910,165,867,257,005,322,819,500,732,
867,689,011,992,802,258,895,861,319,517,035,232,862,383,959,371,674,195,038,
796,649,631,111,585,377,089,854,585,261,434,493,734,594,493,869,170,303,904,
058,553,882,897,760,129,200,246,337,350,470,774,388,117,257,145,876,642,519,
546,245,646,558,348,746,699,606,947,847,441,516,206,169,929,212,868,709,359,
653,509,760,177,936,109,848,561,913,669,528,913,900,069,101,918,994,422,311,
591,239,096,172,496,965,605,171,114,079,801,890,563,598,604,256,127,104,320,
872,930,781,385,042,206,823,401,189,408,333,258,828,336,786,079,031,540,897,
387,730,768,068,062,702,342,676,255,572,047,706,071,706,527,188,445,601,076,
290,738,195,719,491,675,705,854,303,325,269,744,814,000,320,426,663,692,658,
603,349,850,163,785,752,652,424,231,946,469,574,477,503,000,326,929,093,819,
586,982,106,738,397,832,298,711,816,170,108,395,425,533,389,615,747,892,315,
729,586,333,117,077,894,808,533,088,713,411,652,259,912,470,626,804,663,507,
322,870,066,472,815,400,716,951,271,643,036,864,287,418,166,240,572,994,023,
011,621,079,119,546,429,076,403,218,205,733,512,434,133,214,609,308,603,847,
764,312,921,474,494,768,202,271,276,595,372,372,991,537,756,658,116,510,850,
123,540,267,477,041,874,841,483,329,952,898,049,358,224,690,444,278,048,039,
871,085,813,668,568,881,306,011,815,222,970,891,743,000,400,875,255,139,691,
974,455,081,142,429,209,472,399,228,165,866,380,077,279,127,178,766,160,065,
068,009,197,997,280,895,213,945,548,396,320,518,444,580,894,990,806,752,229,
326,978,515,953,158,047,045,170,206,034,150,593,553,851,425,578,046,867,347,
007,070,478,529,299,487,244,822,147,307,901,931,532,872,771,400,140,291,615,
412,109,383,527,619,705,065,094,085,485,424,784,374,081,855,621,065,468,435,
608,629,322,367,550,750,243,700,510,788,396,461,593,281,530,177,358,641,878,
869,333,048,215,115,549,883,190,226,962,080,774,630,658,915,206,068,708,411,
081,912,935,409,303,165,773,911,949,854,049,818,282,556,233,890,470,528,135,
301,529,737,476,158,595,196,220,213,515,504,175,181,314,063,636,040,926,457,
508,673,935,211,466,103,948,207,979,754,636,252,167,445,951,642,518,247,058,
638,445,583,913,735,775,236,750,476,182,144,493,104,324,699,114,506,770,989,
118,519,967,625,264,860,833,035,268,443,920,506,290,613,593,701,640,095,172,
803,999,907,884,792,694,897,640,939,309,311,304,009,569,987,234,738,141,266,
735,196,687,165,217,735,416,413,437,311,234,614,117,170,533,469,557,427,649,
522,840,708,872,286,503,202,958,465,806,633,687,931,097,081,664,852,509,647,
906,805,843,974,160,982,692,856,202,041,647,134,068,308,821,581,486,344,272,
107,646,823,938,176,667,583,503,887,783,094,024,188,327,744,789,203,232,071,
968,239,365,178,424,929,952,153,311,590,095,701,963,975,313,013,896,305,989,
662,340,270,582,884,172,118,832,662,225,392,718,477,517,359,266,165,019,233,
154,366,830,384,830,676,785,709,298,197,989,798,047,067,765,424,949,179,420,
068,817,522,228,937,556,493,293,801,423,444,314,788,571,898,211,671,581,157,
481,083,639,421,404,829,859,612,911,832,025,990,160,261,915,310,489,464,403,
094,532,894,780,837,793,689,221,087,685,155,148,756,685,639,204,635,108,292,
724,780,565,344,108,486,997,930,090,405,949,211,627,189,974,701,140,920,697,
865,302,598,406,055,512,049,538,963,079,636,683,727,211,573,543,487,040,793,
678,367,817,286,694,502,494,033,584,417,289,603,568,016,840,571,293,378,401,
304,991,743,168,731,790,495,923,329,972,763,212,450,613,833,904,406,963,702,
599,938,186,823,393,353,659,241,967,555,246,476,659,715,172,907,499,451,063,
697,448,901,869,541,681,664,896,032,183,489,702,529,396,181,023,890,789,513,
028,840,341,981,207,970,318,773,344,784,083,949,015,806,595,316,524,880,488,
282,807,963,751,117,175,842,051,446,827,021,265,985,221,139,641,823,029,955,
772,255,854,604,558,710,424,911,035,655,806,466,696,912,593,323,445,973,518,
643,362,660,979,707,904,703,700,003,143,774,685,667,928,182,924,714,316,688,
275,616,971,039,260,196,373,333,261,748,532,185,225,305,670,319,580,499,807,
622,558,068,829,975,139,048,437,870,802,622,975,752,488,035,060,966,068,767,
868,747,332,176,996,077,484,566,974,310,244,345,639,444,138,376,733,887,954,
023,983,577,005,721,214,309,413,104,828,346,327,763,719,575,009,912,426,471,
467,766,112,472,903,292,174,280,172,341,905,740,301,782,428,565,901,101,219,
328,393,860,830,639,441,570,389,110,791,149,438,995,250,387,746,026,528,769,
644,075,407,354,996,208,339,924,850,245,276,957,279,853,796,488,480,780,543,
356,574,848,238,384,203,979,206,134,672,541,425,864,649,161,056,586,720,454,
153,085,137,268,673,934,674,159,167,900,821,129,298,526,147,115,010,797,936,
066,707,650,711,001,762,684,698,194,570,175,985,260,614,564,058,254,916,764,
859,139,738,899,993,643,842,053,360,789,591,771,564,296,731,968,872,362,830,
732,342,317,229,210,705,812,056,902,163,601,243,686,813,912,304,116,241,156,
933,282,955,784,824,989,477,502,512,284,343,928,604,938,638,122,019,607,355,
724,100,061,068,272,209,490,725,718,943,701,185,409,086,852,833,912,604,381,
114,850,131,832,313,677,551,668,883,171,076,796,485,298,688,709,937,698,547,
294,182,913,361,101,478,400,790,320,630,555,627,073,838,709,858,198,269,278,
521,827,029,659,189,421,817,475,790,672,458,989,415,041,973,203,350,909,159,
206,512,779,017,544,330,544,787,524,326,792,803,638,261,587,883,637,159,677,
351,605,298,729,516,548,822,874,484,151,263,026,553,688,784,390,304,636,340,
722,422,701,184,446,320,118,761,725,028,801,483,714,124,270,928,344,932,428,
174,373,168,001,388,438,933,312,073,529,034,587,200,823,845,464,382,633,236,
310,756,085,813,627,872,160,347,361,598,978,982,887,692,275,555,139,513,638,
632,117,371,554,178,981,489,464,151,963,771,192,614,531,757,833,779,709,474,
073,480,959,684,815,175,016,932,680,098,503,775,213,745,591,719,493,948,293,
854,572,569,971,829,829,437,665,135,923,590,181,965,411,071,828,705,367,756,
432,292,814,693,957,778,799,560,752,451,412,869,437,487,487,062,807,730,488,
218,072,957,801,475,920,834,611,365,743,814,550,905,704,431,769,701,662,225,
999,428,100,580,256,715,224,865,840,918,822,114,857,901,106,442,601,270,729,
845,223,273,106,300,503,750,659,281,077,571,571,661,466,025,365,885,139,936,
144,906,075,950,491,757,715,244,139,096,293,708,783,830,825,272,233,592,360,
753,119,757,621,366,621,207,676,417,037,281,474,291,301,177,804,687,238,266,
000,532,567,927,898,303,724,011,060,603,844,102,464,495,907,687,718,443,508,
536,940,723,901,666,521,167,307,474,160,881,264,173,617,313,700,331,318,718,
093,644,483,947,752,689,445,791,185,132,090,101,130,447,155,899,650,454,321,
938,017,706,008,589,139,355,455,883,113,584,595,157,049,346,936,733,124,858,
262,929,324,420,628,972,760,460,709,539,629,039,053,889,173,949,544,108,252,
613,149,585,224,871,326,059,947,465,848,992,799,717,672,189,362,713,896,884,
246,164,398,782,755,688,930,446,866,356,891,223,998,377,856,193,199,939,875,
810,593,858,326,614,757,907,458,513,095,242,891,390,705,108,213,965,472,872,
878,700,307,605,498,143,427,024,904,831,791,351,342,954,897,955,769,089,836,
189,648,811,013,198,414,585,874,984,237,207,842,203,278,024,807,298,810,524,
486,623,396,302,197,314,141,838,448,212,614,645,519,215,956,545,952,559,444,
367,540,196,463,246,471,292,532,756,238,795,074,568,131,896,604,969,048,994,
876,023,798,756,275,403,427,980,750,821,215,374,466,513,031,452,488,378,302,
929,071,936,706,983,443,655,255,481,590,352,225,209,375,974,546,623,311,850,
803,262,716,519,886,805,028,769,121,206,490,186,227,218,783,177,487,322,310,
380,457,442,806,823,717,462,772,291,507,493,328,508,813,745,438,874,020,887,
608,698,003,165,590,947,710,056,129,752,505,164,439,887,985,179,093,554,867,
691,673,434,438,977,605,075,618,299,075,918,967,941,696,876,150,617,570,151,
852,790,376,277,402,961,983,888,656,001,561,598,677,077,007,100,704,684,171,
684,618,203,087,910,387,975,811,376,273,070,617,685,292,160,948,900,553,265,
523,392,001,598,983,647,048,926,985,108,827,138,782,374,093,552,421,044,444,
581,366,944,870,885,528,299,934,103,778,637,163,799,545,940,776,016,844,480,
402,387,296,253,072,017,170,721,540,563,092,840,372,821,873,387,095,708,178,
532,035,564,973,167,681,679,187,195,393,496,394,133,226,493,175,781,373,571,
631,404,334,681,393,654,718,205,951,897,127,871,267,761,179,743,181,225,333,
499,058,750,282,009,541,410,493,988,754,813,125,098,585,795,437,450,419,562,
255,951,419,767,032,021,189,787,645,304,269,119,483,098,934,972,714,006,886,
540,758,466,296,063,462,958,540,161,027,184,565,780,842,392,464,219,250,408,
514,084,837,134,555,083,775,078,029,623,003,986,618,769,393,588,447,000,693,
204,008,913,465,561,754,947,515,802,945,179,410,520,109,397,684,318,113,208,
712,745,565,099,965,054,964,104,254,133,128,753,822,652,092,000,677,970,102,
620,499,516,320,174,865,704,744,151,735,525,792,677,829,666,525,093,370,046,
601,448,561,016,890,473,075,563,991,768,323,436,350,147,160,647,464,418,409,
913,760,994,706,960,917,738,093,644,914,900,699,444,081,895,060,700,910,101,
820,533,847,344,772,428,305,717,823,982,865,511,584,040,831,999,103,917,040,
056,388,098,227,408,380,968,627,370,047,885,699,093,686,605,895,297,796,294,
294,705,902,229,224,851,713,130,857,683,779,987,730,593,292,135,389,714,802,
246,920,900,945,384,861,804,428,382,593,835,350,927,767,531,540,488,905,694,
908,346,738,293,700,133,408,467,523,203,291,858,183,379,889,286,218,126,489,
601,384,421,751,987,990,642,929,943,524,367,686,482,122,300,545,145,964,650,
403,900,043,568,374,284,257,832,439,075,732,844,386,920,567,014,887,159,839,
061,908,761,420,773,022,878,796,342,694,092,326,119,143,577,616,376,851,289,
295,453,185,330,313,917,432,757,348,604,458,612,163,527,175,395,734,555,610,
598,544,774,484,720,744,356,502,413,522,241,688,572,393,344,217,275,954,131,
045,431,628,645,034,518,156,686,258,488,091,605,535,716,756,013,422,370,200,
983,045,600,758,484,680,342,411,474,570,268,817,752,941,838,147,556,426,626,
709,608,728,956,006,412,751,769,003,400,011,889,996,966,848,711,649,153,981,
975,081,464,918,021,695,486,913,426,842,148,730,078,611,706,113,374,907,600,
181,243,308,046,690,179,296,360,929,189,775,572,747,248,612,641,308,928,979,
901,130,724,772,007,802,498,870,845,043,225,787,028,760,423,626,482,419,527,
909,592,456,467,280,303,162,495,663,372,658,384,091,480,392,265,061,437,065,
871,931,364,790,873,214,452,086,793,452,262,070,750,129,119,601,378,876,568,
362,862,494,243,530,816,195,896,201,597,468,989,009,048,623,869,283,937,658,
874,999,792,429,315,895,924,858,190,444,448,537,140,192,693,346,270,161,644,
786,358,788,462,719,482,146,665,999,190,896,150,092,803,886,152,360,339,580,
615,912,013,688,869,301,906,760,518,632,006,948,008,984,145,105,214,942,750,
644,661,572,489,307,424,856,342,560,319,992,095,435,479,635,792,215,054,222,
155,623,405,994,422,948,121,900,179,951,267,064,310,400,022,288,181,699,200,
654,506,132,516,296,262,966,262,037,787,759,732,999,262,109,436,217,986,398,
614,547,276,603,399,201,460,200,729,073,252,604,231,769,815,951,512,173,156,
315,080,882,550,508,366,164,704,788,350,138,466,822,079,342,832,953,126,448,
071,322,543,038,965,426,496,008,497,861,630,172,242,772,625,771,899,868,084,
505,550,203,418,058,411,887,556,170,679,519,241,143,798,124,252,294,513,654,
742,605,615,997,561,217,835,545,251,570,051,615,951,970,037,022,872,427,052,
350,978,506,101,975,807,346,139,405,888,528,258,104,295,530,079,506,494,653,
198,316,396,085,171,575,279,765,917,164,367,389,130,794,569,432,102,067,203,
689,599,826,473,690,775,235,838,599,699,511,678,897,701,732,549,174,550,243,
071,780,925,954,053,993,387,930,237,207,663,340,901,314,857,147,289,160,505,
022,147,444,424,431,027,408,919,587,747,228,426,161,011,054,971,984,652,790,
113,316,571,644,215,450,371,100,580,748,414,438,283,768,225,231,553,322,210,
187,675,234,161,072,586,039,301,938,673,500,923,544,547,777,159,031,961,035,
197,919,131,621,272,809,945,960,588,579,086,708,858,194,237,349,604,006,352,
530,291,751,194,854,783,032,745,816,242,864,760,501,256,944,967,182,841,529,
005,119,318,356,536,065,961,152,283,916,191,114,375,780,091,058,250,473,008,
602,856,550,498,014,023,854,347,942,601,658,206,091,449,642,507,448,081,460,
745,118,188,127,462,264,574,943,761,045,436,525,379,999,815,692,175,852,069,
456,075,817,516,841,591,098,874,368,681,961,691,337,195,523,213,981,460,966,
922,524,289,628,396,695,020,350,350,491,583,927,034,819,809,325,362,981,257,
788,275,277,775,675,865,751,338,573,869,431,661,243,720,867,738,597,715,954,
171,586,356,123,470,396,393,119,796,796,722,194,358,153,598,699,470,991,446,
581,322,414,000,453,946,640,412,359,429,221,652,285,099,700,064,284,783,926,
874,738,520,689,110,583,022,079,194,958,853,874,735,941,514,632,499,739,674,
818,649,496,290,913,955,692,906,475,172,296,444,315,994,892,385,199,425,780,
783,492,529,397,237,854,252,582,689,235,381,224,599,618,944,353,391,395,010,
276,705,053,207,768,169,489,501,439,448,286,059,561,913,267,382,666,789,848,
102,461,306,596,576,070,312,219,907,866,338,461,755,084,797,812,670,433,388,
646,828,389,255,743,250,688,378,113,891,269,667,246,982,201,307,492,477,713,
718,476,725,015,115,598,739,074,928,313,817,858,382,075,552,882,709,147,458,
923,875,341,692,823,468,131,202,139,422,359,076,548,451,349,062,101,635,149,
135,355,510,256,756,836,039,071,471,866,119,607,987,484,875,495,703,154,198,
361,641,967,279,529,429,105,508,606,469,852,252,449,296,589,749,096,373,490,
749,843,107,500,786,584,494,123,565,991,507,800,808,398,787,402,182,497,347,
878,345,836,060,951,671,878,023,913,928,030,219,278,091,452,899,435,040,042,
920,586,191,966,252,552,312,150,071,058,082,642,244,788,944,525,686,640,038,
918,622,863,091,781,277,700,116,267,109,614,828,452,319,094,776,981,215,503,
761,397,117,104,260,282,901,618,985,236,250,490,209,828,689,045,656,143,289,
350,877,931,382,114,120,403,454,342,942,361,838,872,882,124,038,031,482,997,
211,827,157,590,742,563,983,266,599,283,974,833,608,910,002,980,849,321,583,
633,712,432,641,768,531,307,830,231,907,190,685,276,148,326,760,363,360,363,
967,239,513,496,078,385,062,868,408,773,604,186,698,583,441,435,027,157,920,
170,550,258,486,634,691,756,357,307,007,649,387,285,969,173,225,749,664,091,
428,271,807,757,498,665,122,749,472,507,680,818,357,735,257,769,694,857,339,
725,450,271,580,846,915,343,492,129,321,380,455,760,227,277,512,333,182,352,
391,982,176,935,827,269,627,965,364,246,318,493,115,931,299,069,460,901,239,
569,905,850,337,737,808,956,636,688,717,154,099,322,835,525,915,524,055,985,
237,244,429,613,784,228,210,152,897,624,285,104,276,183,231,617,192,913,509,
226,793,528,927,952,145,480,444,631,758,965,258,398,263,279,372,368,410,636,
422,272,994,002,032,644,758,443,253,156,635,545,990,395,736,392,498,439,517,
580,454,077,473,136,946,723,577,208,019,425,169,090,688,590,334,880,581,466,
550,478,685,305,753,244,183,829,961,001,356,410,404,466,387,993,875,144,112,
184,292,500,974,088,510,815,767,798,700,066,668,472,966,047,864,067,826,149,
951,341,792,628,530,035,380,922,688,569,385,198,118,610,283,184,261,038,737,
401,175,762,440,657,356,720,050,408,508,745,672,686,424,969,980,354,282,222,
798,419,074,413,858,899,966,933,189,039,411,505,464,944,295,173,678,251,837,
261,381,967,455,900,157,141,989,570,419,695,174,756,660,997,927,744,813,174,
836,471,731,953,407,369,494,933,529,328,308,096,832,979,049,510,086,658,628,
176,852,629,244,149,603,362,138,104,850,146,775,545,207,416,480,429,268,455,
425,983,036,560,212,074,589,455,043,515,161,270,777,043,992,855,933,134,769,
895,474,292,125,859,837,962,743,937,124,661,714,032,651,161,352,713,153,433,
339,615,850,709,496,612,600,492,048,052,965,406,765,526,383,832,470,919,938,
454,458,397,241,595,462,470,332,526,800,620,658,877,131,823,212,381,681,749,
137,878,235,142,801,978,820,602,102,405,033,295,035,082,975,126,949,182,464,
202,409,902,701,261,545,253,329,353,187,365,123,330,902,865,290,150,472,291,
596,716,210,908,397,736,525,182,391,178,731,683,434,836,783,544,024,140,794,
547,096,931,126,442,189,317,968,333,746,935,252,811,266,167,443,058,173,230,
535,925,157,915,170,567,702,611,962,933,208,154,290,126,234,879,038,914,872,
831,887,678,405,464,745,472,468,945,086,423,952,952,433,080,382,767,178,007,
749,476,744,363,665,455,363,256,503,744,311,919,262,092,624,546,157,747,640,
137,390,167,757,128,062,436,914,720,775,119,506,528,014,487,233,024,765,425,
779,687,912,557,091,273,626,131,901,349,023,446,370,538,925,507,510,581,168,
333,728,311,716,778,299,168,664,462,810,191,103,256,495,869,569,060,000,983,
853,070,735,529,638,262,556,912,073,298,972,404,997,062,407,666,264,417,703,
393,262,122,711,478,997,155,350,970,562,711,726,374,609,179,923,315,120,595,
850,209,633,854,284,751,641,102,166,689,775,441,399,667,539,729,860,987,059,
699,613,505,874,612,852,505,873,059,011,746,195,844,757,329,991,873,400,991,
715,657,507,668,211,983,580,613,299,875,364,522,480,214,631,398,598,151,776,
541,302,907,950,979,805,017,099,551,060,335,241,062,663,907,027,810,820,816,
085,579,124,368,442,425,613,253,547,495,412,177,042,536,179,029,588,743,453,
838,084,973,127,358,850,707,534,350,552,796,828,852,312,086,276,481,709,391,
006,153,650,755,488,098,734,094,989,692,056,796,131,359,586,380,765,971,710,
740,979,777,580,453,869,781,426,637,467,878,814,229,895,259,887,804,136,230,
923,129,479,518,605,585,315,259,675,588,347,314,844,454,261,062,101,548,817,
678,603,793,438,951,474,321,019,878,950,573,426,651,169,931,052,023,598,756,
436,032,887,751,416,501,330,757,647,770,459,292,617,411,665,687,012,334,884,
875,014,857,859,396,849,209,080,079,515,223,883,313,416,770,972,468,919,901,
911,117,890,089,882,772,321,367,518,989,789,642,831,297,936,523,746,167,829,
817,760,813,981,313,789,401,569,069,967,140,507,334,354,989,800,730,423,072,
398,613,159,260,690,518,789,110,572,775,776,715,267,645,528,319,659,419,374,
368,493,968,672,017,773,033,314,871,537,870,615,127,325,037,803,667,015,040,
448,188,240,316,201,792,897,566,906,011,443,335,929,831,569,615,364,474,771,
710,404,571,554,413,966,569,422,777,748,740,038,551,929,515,428,847,723,745,
168,522,588,714,095,984,833,200,807,417,902,479,030,542,122,196,702,911,844,
910,839,232,648,863,754,991,362,842,641,164,782,571,858,142,592,901,573,300,
101,100,272,315,190,100,498,596,499,107,304,369,676,026,648,336,545,257,242,
253,771,056,902,316,762,295,789,921,922,065,702,619,042,105,752,103,419,350,
058,953,191,591,993,454,398,018,964,752,743,522,717,433,084,330,121,586,409,
127,541,284,959,109,823,515,192,120,409,710,200,340,576,631,606,123,637,224,
954,749,433,462,625,404,718,207,887,679,078,778,872,808,413,451,808,231,590,
238,329,219,668,397,011,151,624,163,790,967,652,457,122,498,112,125,907,007,
684,908,741,163,314,046,054,802,298,798,572,315,485,024,994,665,194,732,925,
684,075,744,903,572,082,078,173,355,742,834,628,361,000,646,756,742,934,312,
745,978,740,812,507,487,781,766,406,897,089,797,400,298,318,952,541,172,036,
654,468,491,174,606,425,886,614,783,266,746,920,424,802,770,175,754,353,937,
470,185,590,867,851,372,306,973,808,073,938,581,521,972,229,014,379,793,267,
716,436,916,805,943,199,494,022,617,382,957,742,138,113,570,320,341,026,728,
541,174,128,351,135,471,997,268,465,601,868,953,916,124,074,171,196,048,557,
076,712,389,976,227,665,207,294,935,936,307,980,911,592,390,036,876,207,697,
866,167,942,372,352,748,181,969,552,339,479,597,621,391,422,380,396,745,117,
535,455,317,701,599,632,188,180,454,204,322,257,270,286,029,235,253,299,250,
736,884,624,800,553,201,307,257,612,071,033,991,246,069,323,442,328,652,898,
579,135,866,701,791,250,225,037,720,224,616,066,469,278,647,624,923,353,634,
309,743,677,331,583,700,325,674,454,023,486,409,124,846,913,108,474,147,454,
067,528,781,064,861,676,002,605,247,918,190,838,535,569,912,401,356,280,987,
922,482,160,215,064,697,533,936,662,501,979,215,555,268,917,396,238,768,284,
849,430,474,496,977,439,064,337,043,640,351,013,936,081,644,568,812,143,104,
544,227,103,461,688,955,838,838,541,980,950,426,918,072,180,711,277,378,277,
272,835,777,980,580,653,053,539,189,503,827,878,230,223,837,150,919,195,786,
598,913,305,776,392,933,313,904,786,503,430,223,081,083,353,056,641,721,580,
104,943,227,477,444,015,384,133,230,589,302,150,099,813,558,265,625,418,421,
749,933,696,630,174,465,681,495,130,171,279,526,279,185,127,597,343,758,440,
637,510,682,529,395,668,029,655,113,056,443,314,144,871,802,886,947,343,630,
125,614,350,451,810,984,353,471,645,913,168,343,140,993,415,738,043,740,699,
034,444,075,912,625,492,826,658,463,300,334,754,339,440,306,845,901,663,079,
598,303,163,329,156,025,276,356,443,716,790,406,507,733,110,375,086,197,306,
573,931,454,524,333,673,033,014,805,965,855,101,907,130,272,657,796,360,407,
634,137,151,828,353,866,734,198,392,744,659,503,868,841,642,204,391,078,905,
096,699,050,928,541,400,932,779,913,071,009,553,228,613,849,848,463,993,812,
840,788,870,766,886,538,202,733,909,927,318,506,679,939,309,276,920,639,034,
870,279,551,200,241,195,129,903,866,423,126,172,582,886,361,180,326,457,755,
568,488,462,067,079,029,789,280,015,269,922,774,842,670,255,730,943,112,025,
651,204,754,553,574,219,977,458,928,351,881,592,264,679,296,490,872,258,267,
689,461,715,852,423,576,651,203,245,013,504,087,905,993,762,420,391,438,069,
988,877,288,634,796,504,424,199,462,738,340,859,901,777,455,565,308,737,555,
192,290,930,684,940,112,808,130,613,234,763,947,129,738,697,010,887,066,145,
721,391,973,268,603,136,831,710,368,891,608,476,451,749,882,230,056,892,229,
512,587,823,766,032,009,494,444,713,540,349,940,954,843,886,564,617,986,873,
544,089,546,589,498,109,023,738,782,305,838,555,089,965,528,956,091,620,553,
654,080,526,041,704,874,637,494,502,301,126,294,435,493,925,189,389,042,455,
892,026,227,338,649,014,323,304,950,121,263,558,002,276,967,335,953,309,419,
327,866,668,037,221,407,141,200,931,512,106,687,573,699,189,002,065,803,832,
902,430,792,039,728,232,096,741,935,158,102,245,476,850,469,038,332,387,897,
891,564,559,002,923,985,813,158,472,820,752,841,316,690,737,828,058,112,412,
836,731,039,287,499,789,408,654,994,627,020,616,878,327,139,492,491,741,628,
806,427,536,067,488,352,973,921,097,432,093,484,987,292,524,482,984,231,826,
070,044,667,920,140,078,021,953,171,155,019,181,828,797,449,925,872,196,163,
441,653,508,937,478,960,102,891,826,977,170,643,043,883,707,224,760,930,845,
205,387,800,550,231,768,761,859,624,643,535,303,113,157,217,345,954,131,480,
707,155,155,716,238,000,082,972,256,314,176,829,932,710,273,554,433,465,656,
522,544,407,819,930,768,359,122,203,852,792,613,048,888,043,533,795,965,349,
092,547,972,048,515,630,491,808,067,071,810,886,436,161,141,961,387,546,536,
736,129,480,896,385,542,930,707,568,487,258,489,001,318,470,263,333,685,571,
577,716,554,023,146,205,480,322,189,717,200,010,157,680,907,424,030,881,424,
515,223,912,155,904,598,457,145,763,993,812,598,016,305,787,693,185,906,890,
947,892,759,105,109,692,249,392,447,463,624,031,123,261,297,170,096,071,859,
580,959,186,760,011,601,475,761,905,908,171,046,371,696,667,328,235,754,962,
843,822,260,884,395,022,541,740,070,384,405,713,744,417,987,716,096,219,345,
678,234,088,682,796,882,720,180,915,675,674,727,767,869,326,937,369,685,331,
329,083,361,438,285,691,713,983,097,337,416,840,102,412,848,226,337,356,494,
657,351,489,827,068,612,023,207,994,822,045,152,060,566,091,319,697,238,108,
106,448,341,707,532,164,817,577,872,793,108,416,359,418,714,107,348,179,715,
724,102,039,002,365,685,341,850,331,409,439,572,590,706,029,572,857,344,583,
300,631,564,468,717,794,218,917,589,166,863,265,413,439,803,770,611,471,604,
109,988,991,846,040,963,507,985,955,707,155,016,129,265,834,945,806,803,151,
086,566,965,677,855,211,346,091,664,704,598,169,276,763,435,691,786,941,570,
985,871,333,981,229,104,968,099,676,760,939,715,162,318,140,238,782,327,807,
525,758,741,751,901,978,219,772,177,688,083,102,795,412,919,092,691,306,565,
412,308,120,962,438,965,453,750,889,577,613,669,550,654,643,112,058,710,784,
194,236,931,121,920,270,185,522,728,425,097,021,860,670,710,092,209,719,126,
978,348,245,563,252,354,420,959,267,749,717,700,841,279,559,415,466,025,059,
126,602,109,836,578,969,878,696,810,259,398,179,423,199,952,933,133,573,528,
335,748,500,544,037,909,177,446,183,086,646,362,367,964,990,160,468,750,185,
523,947,046,989,528,437,688,289,473,192,826,338,716,187,380,328,514,412,079,
618,933,465,541,662,257,559,107,283,068,548,403,107,516,027,716,054,597,264,
752,485,054,692,364,460,309,229,495,974,934,272,158,370,143,285,404,422,509,
698,860,276,113,666,548,737,975,615,625,556,402,806,871,064,542,043,688,638,
793,633,230,104,146,534,964,264,486,447,501,606,311,404,381,775,649,011,777,
769,305,734,598,601,832,092,384,161,612,389,064,329,939,444,142,815,092,898,
920,468,204,024,721,060,770,231,610,876,221,900,536,560,872,133,174,695,283,
010,857,087,411,779,597,979,865,662,956,202,718,612,282,695,487,966,365,900,
352,624,770,988,330,633,680,626,257,581,083,384,804,621,781,518,651,770,455,
912,419,406,882,484,538,778,320,082,337,028,544,724,259,852,490,587,228,529,
636,113,370,638,610,009,629,997,628,273,354,561,070,383,244,314,908,782,693,
985,130,874,222,149,065,664,645,873,336,450,757,091,439,684,428,136,861,966,
272,760,547,936,901,954,592,889,960,950,041,420,004,488,548,326,445,363,782,
410,806,084,335,143,389,878,296,501,566,886,990,588,012,400,760,443,066,927,
530,008,166,352,294,163,979,824,158,793,086,649,378,291,841,085,308,272,491,
686,375,245,745,874,994,086,705,157,531,888,243,107,241,366,125,613,229,509,
065,110,591,495,862,720,445,473,958,231,039,235,301,688,403,470,637,821,547,
737,068,425,030,993,034,369,959,907,776,578,320,907,744,777,260,718,466,207,
930,823,740,959,746,770,582,072,392,443,068,388,865,182,931,363,430,384,577,
052,590,819,671,586,590,244,116,623,375,479,404,454,627,354,531,606,586,685,
889,234,677,423,390,757,156,692,957,612,285,773,454,882,408,935,842,931,434,
120,712,095,057,734,968,880,127,356,030,461,816,215,023,118,917,310,746,426,
517,176,897,415,161,924,901,453,781,175,833,979,185,398,442,471,225,220,763,
048,819,132,302,819,736,823,702,086,450,602,315,346,459,559,781,181,733,782,
129,189,741,836,439,576,907,437,885,225,960,133,590,126,438,339,508,985,027,
344,910,567,405,152,374,372,997,666,480,272,866,563,757,250,550,819,004,982,
898,827,619,197,238,277,113,356,098,495,331,333,667,863,281,516,209,648,189,
525,271,981,562,139,352,084,520,406,251,132,633,188,572,098,755,518,554,218,
360,704,528,364,859,567,590,860,131,642,124,256,279,161,829,118,147,385,034,
189,932,868,705,207,763,398,680,931,361,180,235,549,036,044,484,569,511,638,
713,234,432,668,337,700,684,904,384,942,988,427,286,983,755,644,250,779,943,
982,509,124,059,323,413,743,998,836,175,114,107,211,770,891,235,913,631,052,
569,896,008,455,670,023,841,173,858,335,687,554,680,564,873,705,874,109,976,
954,327,473,917,164,212,148,746,923,085,500,840,555,003,698,776,899,471,006,
989,784,391,670,449,440,424,703,064,181,067,862,929,664,959,887,876,739,980,
282,469,108,926,348,594,168,385,811,217,004,888,163,113,372,278,931,342,828,
641,371,675,893,584,569,566,597,722,615,309,297,193,803,898,709,521,012,420,
813,283,392,009,997,702,739,828,096,223,078,268,775,768,214,852,528,804,398,
946,068,262,635,930,544,593,000,585,028,189,135,740,789,407,787,678,550,472,
640,158,999,183,611,774,757,450,207,223,682,039,263,280,686,420,105,575,074,
434,502,115,605,170,280,298,141,232,561,879,630,376,677,348,491,295,046,349,
702,258,389,887,573,291,400,732,554,094,090,532,535,106,921,361,495,445,031,
785,156,729,457,666,832,910,546,424,944,038,925,654,036,844,125,834,414,390,
313,974,919,344,945,559,365,680,387,963,728,849,246,122,534,531,259,999,571,
468,565,778,373,146,879,832,554,317,935,639,655,175,773,246,502,168,857,950,
247,624,699,657,149,711,725,839,598,751,923,020,450,124,333,067,279,181,718,
978,844,417,060,301,628,119,425,809,358,900,194,177,165,286,668,937,650,555,
028,906,207,146,090,990,874,354,659,349,579,010,173,839,001,130,144,315,457,
065,161,476,665,691,910,563,013,510,579,127,575,335,716,698,298,317,753,807,
507,086,706,281,131,919,074,632,027,482,560,915,468,600,239,356,329,042,796,
353,063,021,559,744,167,216,511,594,133,450,627,467,528,521,887,192,508,822,
865,505,434,292,079,286,483,511,321,515,621,401,303,160,044,033,278,127,126,
611,191,231,527,093,154,413,168,759,147,563,208,312,537,916,469,309,492,686,
224,512,733,508,881,989,648,461,917,338,452,397,112,961,647,330,082,735,055,
449,537,697,656,444,304,401,695,675,740,007,222,762,285,565,970,666,529,772,
750,763,175,493,962,378,444,690,136,373,393,163,465,382,323,694,890,876,642,
333,892,071,042,631,065,439,789,641,862,260,368,015,555,577,774,994,230,768,
320,071,141,962,795,332,816,846,193,497,929,282,059,275,835,728,374,314,554,
236,388,531,991,957,426,141,560,607,917,248,959,274,678,117,037,247,214,065,
771,647,102,241,516,921,105,363,071,365,949,491,238,163,399,999,855,746,895,
624,109,478,719,034,493,051,077,273,109,935,977,636,590,741,608,003,759,166,
959,435,625,348,977,850,674,994,350,001,193,852,840,269,515,520,104,075,338,
195,559,332,840,477,505,077,814,072,948,576,567,327,796,517,057,167,045,583,
634,955,265,559,156,475,324,229,221,496,467,640,748,204,810,359,107,043,187,
809,094,547,060,484,480,473,142,245,226,510,088,734,718,655,359,756,227,246,
073,134,752,268,502,671,172,223,321,941,987,317,042,216,471,564,361,335,629,
749,618,861,084,635,307,532,651,478,404,862,874,012,264,232,636,165,448,484,
034,573,339,585,604,465,283,069,728,289,413,702,621,387,879,219,134,339,205,
477,164,027,573,567,619,630,489,342,141,251,580,993,314,806,104,231,316,049,
218,292,616,645,832,325,966,615,982,760,633,803,421,053,046,575,729,342,510,
465,646,556,816,264,017,944,188,400,514,410,270,687,883,837,152,031,222,897,
792,023,372,945,265,590,937,276,430,939,059,330,101,719,458,393,956,016,215,
947,044,475,380,399,692,301,683,276,599,941,476,084,126,968,362,347,900,201,
589,018,532,209,883,001,599,428,706,722,784,532,360,674,172,690,113,546,227,
073,046,564,998,835,528,840,793,600,451,849,742,506,366,207,692,139,941,882,
905,505,186,928,627,748,359,778,502,538,319,914,265,112,478,717,557,139,773,
556,335,637,969,675,272,369,571,265,232,245,247,610,118,106,619,070,018,965,
449,649,635,817,864,088,639,472,234,527,226,662,181,818,441,010,641,450,306,
657,791,114,257,414,219,200,655,842,401,573,054,113,875,728,991,098,038,344,
792,683,438,603,932,536,419,736,240,916,098,150,316,795,412,771,303,187,346,
392,094,998,978,651,071,902,604,039,873,578,389,738,085,652,135,619,764,314,
400,769,383,166,912,166,721,603,763,596,301,443,170,590,473,191,779,730,984,
472,940,856,032,004,786,690,365,213,700,357,933,391,402,424,167,362,776,128,
121,258,234,644,673,279,343,024,550,243,691,468,355,904,660,770,015,254,867,
429,064,324,095,401,144,068,910,608,041,328,038,070,709,667,536,679,112,479,
669,137,785,046,746,323,116,576,626,436,790,325,583,202,017,805,693,447,289,
273,718,009,799,721,424,027,397,184,324,347,807,559,458,491,618,639,779,331,
888,259,513,270,603,601,268,393,175,829,686,268,498,145,506,179,101,684,754,
819,156,364,605,564,236,365,386,102,243,043,194,408,562,368,532,995,572,995,
518,899,018,445,980,720,297,678,626,919,906,174,444,739,086,874,869,953,371,
472,367,636,895,368,110,648,487,559,241,291,773,107,652,355,853,655,456,772,
466,390,860,800,999,237,013,608,025,569,880,633,214,434,258,146,641,224,156,
979,555,361,204,639,659,109,292,068,275,838,888,470,153,454,798,347,758,359,
979,838,302,528,811,932,269,295,912,565,250,214,142,145,650,074,527,638,364,
032,637,481,367,901,455,705,163,693,108,166,655,406,608,258,374,851,617,248,
257,713,585,503,906,523,109,874,535,212,730,129,922,246,251,375,071,118,222,
804,696,283,939,454,928,272,975,609,528,056,934,909,381,037,030,141,345,431,
069,170,495,577,146,186,943,117,240,794,778,958,600,958,618,286,813,434,544,
347,857,724,362,527,229,273,144,359,233,164,404,948,354,666,178,538,798,518,
745,276,535,064,952,410,397,352,115,244,237,118,761,478,704,113,626,699,537,
448,065,116,885,495,162,141,204,057,521,607,401,122,225,098,823,345,875,433,
298,587,930,273,862,425,854,781,754,335,722,238,133,279,844,676,898,802,785,
727,438,781,279,890,310,331,731,658,042,577,746,115,671,582,642,202,607,254,
106,095,315,918,292,944,658,983,420,612,077,622,925,263,230,556,377,830,497,
319,719,992,822,845,136,485,307,268,241,652,179,853,088,283,917,723,328,007,
414,865,745,848,624,867,821,680,856,835,560,317,723,472,311,482,270,502,130,
398,462,090,926,293,526,613,117,610,193,716,733,944,775,459,886,283,275,171,
917,428,641,768,878,665,910,145,614,336,864,555,035,268,897,039,292,148,228,
317,137,124,986,414,228,565,597,593,972,598,636,800,366,213,324,132,432,950,
621,001,017,167,932,497,233,724,760,190,757,121,363,985,163,509,850,549,360,
943,870,343,444,745,026,574,574,726,579,136,140,391,598,381,167,786,940,501,
770,900,026,801,307,966,094,304,255,545,582,512,514,408,638,758,048,670,345,
224,642,126,973,469,720,158,195,622,266,864,414,731,969,801,165,899,569,336,
491,323,460,868,638,803,831,762,032,271,792,439,196,480,894,119,639,122,950,
983,641,118,266,826,997,648,603,350,938,427,597,476,583,059,404,013,464,417,
123,937,952,805,809,112,079,987,387,279,977,173,941,546,194,767,998,514,158,
397,018,326,420,631,788,707,361,249,610,136,730,585,843,170,002,190,883,422,
723,545,066,210,697,566,255,999,809,211,111,059,178,643,072,037,227,205,174,
860,445,994,546,531,490,356,028,704,850,627,970,448,956,225,120,806,744,165,
687,785,717,564,955,507,427,255,248,602,591,795,539,399,409,399,333,971,660,
970,457,484,968,062,864,117,720,004,640,371,624,380,501,214,202,951,465,310,
571,880,218,432,471,651,607,345,764,053,339,916,320,017,977,264,212,316,177,
346,883,711,768,366,954,625,665,665,970,435,017,983,277,763,141,300,860,334,
009,413,821,739,738,042,749,874,454,737,432,712,160,123,790,911,846,978,617,
120,834,039,321,015,818,542,059,848,170,452,409,567,088,496,259,350,639,930,
985,481,763,481,667,322,164,013,368,768,485,449,355,535,597,368,360,618,214,
391,202,898,724,085,979,695,554,848,594,907,011,232,477,745,037,302,555,737,
590,660,289,763,263,410,764,208,251,120,564,600,699,476,500,035,576,991,862,
664,495,409,929,597,712,536,557,309,327,713,036,936,587,823,313,446,730,412,
455,304,353,877,514,669,418,192,403,217,534,674,039,074,502,965,621,034,526,
906,791,820,109,202,415,091,052,749,250,300,440,050,393,670,292,463,631,525,
078,174,817,175,361,407,087,295,851,600,179,829,252,900,489,170,965,658,610,
948,251,688,841,262,597,382,878,893,699,744,115,595,920,118,777,018,667,596,
013,085,509,502,187,188,482,271,423,646,831,846,984,039,573,598,108,551,894,
243,387,648,074,160,821,950,074,972,491,506,413,043,984,544,659,958,151,392,
021,339,295,978,588,291,787,142,456,599,107,508,447,847,130,307,153,690,293,
725,955,771,292,909,237,193,365,463,156,433,571,215,215,186,401,312,452,755,
847,639,787,265,291,560,142,626,384,534,533,733,796,569,377,545,460,050,398,
315,469,344,385,517,427,145,953,059,828,493,674,350,093,465,273,121,820,361,
535,368,560,941,643,183,400,866,893,059,153,882,040,118,740,426,419,137,622,
944,440,922,061,348,459,833,019,983,416,812,521,582,778,095,357,552,090,388,
873,568,747,210,382,666,797,436,015,053,987,631,896,626,248,552,713,208,296,
297,760,852,646,443,259,304,593,336,527,527,587,445,276,444,820,651,724,752,
759,372,004,200,198,537,528,230,804,845,225,583,163,549,286,622,575,741,609,
159,607,903,186,288,396,891,026,827,718,083,047,226,874,806,477,134,702,821,
623,494,330,682,784,057,462,720,518,124,902,539,023,778,115,633,109,652,719,
598,638,106,134,506,114,819,661,041,920,081,463,375,778,640,319,447,513,088,
886,770,744,755,239,343,736,712,784,465,906,802,994,143,718,976,982,072,841,
674,962,578,594,077,600,771,520,457,209,494,085,176,635,080,564,237,931,403,
802,936,512,404,416,032,594,906,812,842,666,308,974,963,444,395,811,859,195,
327,319,239,300,175,589,101,087,700,487,833,854,867,928,037,616,908,862,398,
762,745,051,213,525,935,309,881,528,179,943,072,057,254,527,515,539,336,500,
311,922,794,272,188,299,924,138,428,338,544,377,847,346,260,966,803,110,142,
437,353,586,491,895,028,311,414,729,175,208,090,573,579,701,457,008,393,438,
213,540,724,160,621,031,720,330,929,230,271,499,096,972,146,128,025,360,144,
407,553,202,764,840,569,377,405,554,403,475,348,206,584,505,038,391,508,177,
325,878,615,946,877,281,074,812,414,016,161,727,610,355,660,657,953,248,277,
361,005,253,363,936,138,497,904,985,851,945,126,178,650,997,384,468,690,444,
335,679,938,187,818,275,528,013,458,320,827,580,372,469,450,827,180,501,908,
335,689,350,283,176,162,204,864,209,212,819,006,815,133,052,283,188,913,750,
493,603,864,275,674,665,224,618,171,606,082,867,410,145,697,248,002,973,071,
300,956,522,967,410,783,382,953,637,337,035,575,784,974,512,461,289,529,025,
736,269,321,730,028,719,945,296,401,391,041,360,211,019,730,928,707,370,022,
274,866,415,505,930,932,900,456,745,881,577,619,120,172,713,937,589,567,673,
547,121,474,145,399,658,908,769,061,401,410,828,375,520,814,471,572,871,812,
861,340,976,702,961,513,629,106,026,179,098,359,604,702,068,220,879,909,558,
020,312,365,370,790,943,788,327,643,680,803,143,698,598,386,762,808,419,772,
215,579,570,157,082,512,341,927,878,051,032,575,282,455,822,360,252,622,764,
453,440,171,277,672,122,858,804,568,277,147,854,181,040,668,848,259,660,835,
991,417,097,210,721,299,536,519,102,261,838,938,644,572,406,842,864,485,843,
552,281,142,863,701,202,436,131,746,957,897,721,972,182,070,313,547,990,133,
880,026,632,434,059,534,771,773,394,928,555,757,888,975,415,304,144,607,787,
622,511,674,329,549,017,244,174,699,839,206,289,914,158,395,797,748,949,060,
925,445,971,495,256,242,792,714,218,735,374,641,536,988,379,198,929,622,971,
939,926,569,647,718,201,715,364,987,236,643,194,928,205,925,536,632,992,258,
847,476,246,404,014,281,522,948,159,003,459,333,505,352,684,051,375,422,288,
331,327,794,990,120,828,162,271,982,459,214,521,263,273,633,979,297,432,926,
854,950,922,223,180,302,188,808,632,438,727,206,146,210,890,787,755,000,907,
464,705,250,718,392,499,014,712,715,871,238,238,952,116,802,914,244,692,297,
853,113,762,690,597,602,247,110,069,264,491,125,338,132,329,838,920,122,812,
523,073,271,485,396,243,737,227,440,569,291,521,465,091,578,099,401,591,855,
151,297,621,003,314,825,023,361,629,688,716,743,641,638,239,846,674,187,189,
577,275,854,500,328,490,841,938,981,062,601,059,274,913,070,408,646,510,570,
145,084,296,601,763,247,535,106,089,276,982,520,458,208,868,210,658,822,587,
809,955,361,411,084,924,956,103,131,235,024,350,650,671,374,698,912,533,563,
880,244,910,458,553,782,612,340,232,191,291,869,869,468,155,890,678,393,151,
802,794,627,010,762,186,985,361,161,068,220,299,387,990,784,720,950,937,110,
469,141,460,066,126,193,926,259,547,497,297,497,341,032,127,729,071,980,480,
381,142,107,971,878,400,625,063,224,799,152,344,634,966,115,033,971,196,873,
017,807,510,761,308,766,847,521,342,922,202,963,795,584,533,408,540,184,824,
460,715,199,276,549,717,153,653,439,570,561,167,095,861,682,475,580,607,557,
923,402,953,027,007,356,721,890,576,826,904,454,182,382,454,052,064,362,076,
266,106,685,856,124,241,178,223,388,742,254,458,417,232,304,254,569,406,110,
729,502,935,259,890,490,852,142,793,759,055,743,890,199,966,201,041,120,952,
305,694,315,060,785,698,038,014,501,482,495,674,128,934,907,717,120,068,277,
381,045,085,104,864,360,200,891,064,827,085,255,787,939,944,419,237,325,773,
908,091,863,314,168,764,390,260,882,341,298,833,967,037,555,560,547,935,729,
550,134,532,334,215,429,819,289,496,296,869,180,601,500,640,477,433,009,242,
624,734,442,216,397,837,834,563,036,665,482,870,012,947,254,076,146,124,615,
196,142,963,339,792,882,982,660,391,661,013,295,525,364,987,487,236,957,671,
993,016,099,650,345,565,247,575,532,732,385,565,137,136,508,026,158,652,156,
793,500,776,488,237,841,382,749,031,709,612,030,213,615,545,765,856,403,613,
762,999,833,890,886,081,251,941,456,359,454,863,820,253,343,050,095,446,245,
644,133,928,110,941,766,267,987,539,958,328,593,824,789,985,400,538,763,240,
461,825,277,421,386,432,701,963,413,085,574,948,012,605,454,008,101,035,869,
893,540,308,796,967,198,076,742,006,973,248,001,463,202,738,879,404,345,913,
445,808,664,292,297,096,110,957,797,958,909,209,614,329,932,288,711,349,471,
060,837,175,511,112,274,967,055,846,878,416,237,010,228,601,757,935,117,440,
111,615,091,924,129,701,616,770,924,500,518,464,933,203,253,376,881,654,760,
892,162,027,562,803,781,503,080,809,605,597,872,286,681,911,738,968,927,762,
752,154,667,837,833,082,627,956,282,190,892,604,356,401,953,400,658,880,835,
382,445,083,121,250,641,039,714,260,394,346,929,384,049,594,677,998,886,484,
575,358,700,061,774,982,807,941,695,779,637,280,321,749,378,883,698,599,830,
178,172,097,722,865,403,084,607,039,480,678,929,157,004,264,681,482,488,752,
013,798,954,873,350,640,254,305,342,800,550,955,819,531,978,281,013,132,739,
595,004,787,231,136,503,454,196,986,898,320,618,063,494,268,053,252,886,175,
645,265,192,249,575,378,964,702,196,982,050,902,969,654,171,520,834,734,031,
857,199,083,397,246,075,696,643,534,227,711,574,404,186,795,200,525,125,559,
831,027,571,092,611,002,599,663,584,931,979,987,563,244,305,026,976,247,941,
144,014,451,795,745,274,676,394,268,047,680,751,458,873,628,254,430,391,454,
271,481,268,389,612,212,487,083,360,906,635,713,340,637,908,412,563,993,700,
903,693,020,597,251,140,107,516,736,071,613,918,742,564,201,168,875,154,979,
849,558,357,479,746,965,892,075,171,442,794,022,244,984,859,712,924,239,442,
948,437,234,348,282,535,842,451,265,460,391,846,548,814,254,326,008,095,696,
090,665,671,691,851,589,998,836,856,535,105,866,288,912,055,428,642,072,582,
490,922,333,418,853,362,220,977,913,909,272,225,023,121,191,259,804,812,304,
114,309,284,021,037,520,409,714,360,171,920,530,946,827,904,103,869,198,020,
204,724,073,517,572,045,808,095,943,252,123,929,813,344,792,580,528,436,113,
034,268,381,409,085,344,857,850,895,506,951,014,700,587,149,413,335,130,639,
908,496,363,566,281,253,417,299,309,044,176,474,445,370,635,879,855,787,074,
790,174,515,993,696,833,121,043,515,973,784,402,476,037,495,171,720,882,326,
267,368,518,664,167,676,382,305,913,326,671,392,009,238,671,480,692,164,358,
745,509,071,517,862,099,476,677,594,810,350,386,201,274,808,596,634,078,800,
875,094,233,778,127,949,852,608,338,046,964,001,841,978,841,097,835,962,074,
957,329,821,907,541,932,732,039,158,463,879,570,012,174,451,169,018,334,144,
848,495,405,456,657,577,831,445,151,584,089,612,125,913,469,999,424,853,570,
925,228,469,619,598,039,291,685,337,814,953,105,807,946,793,444,599,028,501,
813,803,004,816,036,735,487,375,387,814,532,466,540,497,491,868,215,984,921,
848,036,212,389,065,932,517,672,322,324,086,010,984,496,055,031,360,196,188,
877,370,385,303,118,694,345,009,326,476,353,335,813,550,171,295,685,296,497,
131,675,193,930,546,630,040,778,996,023,336,549,009,844,077,471,004,513,677,
396,776,424,354,438,213,915,257,327,055,773,980,445,167,241,364,672,540,996,
961,177,760,681,382,613,138,096,677,826,448,504,220,072,302,194,322,979,625,
511,065,932,592,986,595,669,035,379,138,187,105,630,792,220,885,961,971,252,
012,944,193,159,381,187,520,431,998,232,311,542,966,126,971,872,128,013,041,
888,767,287,990,885,295,334,758,605,966,327,162,864,629,310,519,772,767,440,
932,084,147,901,069,987,152,981,774,916,167,433,968,039,522,630,515,706,324,
763,509,589,737,229,656,860,707,831,670,499,833,507,668,236,065,614,684,181,
873,007,412,227,110,099,024,101,254,688,540,022,189,096,107,908,710,401,259,
920,625,850,945,935,320,043,840,143,242,097,283,705,773,005,588,006,049,048,
591,490,842,494,186,412,800,854,481,425,326,175,025,455,277,683,299,299,616,
842,590,092,960,201,217,629,318,927,921,991,708,504,973,087,009,233,159,954,
997,259,091,619,737,083,836,695,669,595,033,656,875,435,609,917,020,802,389,
388,494,665,492,199,368,295,034,661,569,029,734,750,371,877,704,363,503,898,
566,499,886,180,010,713,816,503,581,993,557,632,111,865,284,410,600,230,318,
994,552,018,294,181,658,828,583,664,760,006,855,144,520,874,309,772,757,842,
095,707,331,825,641,980,829,270,746,213,291,150,015,826,148,366,889,801,049,
693,626,608,910,646,066,922,593,005,222,168,477,506,309,506,921,256,017,668,
441,912,081,241,270,903,156,641,091,715,098,309,002,187,028,757,522,742,537,
700,244,488,123,952,027,061,035,659,688,261,672,119,208,887,812,847,155,347,
258,788,821,137,610,494,985,369,890,461,423,126,028,553,999,606,459,146,162,
593,332,860,688,228,912,629,574,885,122,103,227,142,792,033,228,571,019,418,
507,355,513,277,940,278,537,554,727,636,631,029,640,482,732,952,185,464,779,
668,336,666,687,618,885,132,479,572,601,788,174,000,300,829,154,893,784,372,
272,140,062,385,646,067,955,103,888,214,544,616,166,564,604,810,252,308,006,
748,317,985,689,377,950,816,265,673,749,375,735,875,648,474,153,167,549,341,
026,405,583,546,721,578,548,911,402,231,316,484,658,769,270,434,856,437,371,
247,552,376,481,956,701,216,168,962,867,051,741,252,352,805,828,257,385,265,
187,133,103,652,428,293,166,713,788,859,949,883,083,126,375,684,762,354,419,
150,073,439,237,071,349,220,961,330,699,725,383,442,351,520,017,965,486,512,
392,378,631,831,868,024,852,741,877,521,593,145,398,663,971,285,625,551,013,
022,688,724,100,685,672,581,743,231,922,192,946,753,972,027,174,963,820,446,
827,071,490,163,240,550,343,226,981,656,407,355,320,999,185,930,841,608,502,
460,601,284,198,468,372,196,816,412,940,114,268,784,859,365,438,674,459,615,
086,925,916,017,564,541,076,958,215,068,643,472,719,920,270,933,482,717,359,
272,078,525,368,039,988,734,859,433,453,647,737,317,257,831,728,195,069,774,
803,100,643,959,934,690,708,088,313,900,059,705,637,665,401,074,002,286,557,
523,512,276,458,531,053,246,712,102,878,761,107,003,835,285,947,642,065,410,
380,679,220,826,569,006,799,153,317,075,741,937,363,487,076,812,606,969,322,
384,514,580,759,913,726,082,607,314,542,306,636,508,937,903,930,154,273,899,
460,205,964,369,740,155,877,084,137,735,202,567,065,032,068,920,855,708,859,
628,113,350,957,043,329,260,099,336,295,156,282,734,391,583,061,286,738,019,
846,658,283,998,574,216,360,791,136,455,362,917,435,924,329,974,200,849,475,
800,131,260,409,159,072,894,975,414,299,349,222,652,501,573,735,988,702,368,
108,394,518,091,664,284,183,555,843,711,334,201,780,016,178,366,260,434,864,
046,245,098,627,956,297,052,796,815,948,127,685,340,916,781,931,864,160,367,
223,590,560,317,213,323,178,180,963,817,324,185,696,494,970,489,447,297,959,
954,770,545,949,321,857,260,479,072,998,706,593,186,324,799,428,604,765,689,
006,387,658,539,482,737,584,725,093,720,517,960,275,499,136,376,067,040,254,
737,535,990,741,881,053,758,152,701,835,574,277,608,787,043,506,353,031,617,
929,262,844,316,845,392,644,196,936,108,179,959,306,489,032,481,229,464,285,
163,549,718,028,285,494,728,957,219,389,494,632,060,804,116,567,214,803,071,
892,345,385,591,714,609,154,262,615,299,724,525,637,179,367,677,955,177,776,
626,241,029,552,569,610,765,406,653,316,399,080,290,161,867,581,026,651,055,
797,235,086,118,206,842,813,303,766,053,687,563,487,070,083,981,979,159,426,
422,105,148,535,282,434,965,179,487,658,987,981,343,969,002,108,142,906,058,
481,914,622,070,092,718,193,768,436,260,802,286,117,552,679,602,866,010,194,
168,529,705,335,657,438,147,121,369,476,063,354,294,776,137,879,172,928,189,
293,935,127,081,218,680,981,509,396,857,271,165,333,334,252,883,011,506,682,
116,243,333,215,264,478,159,831,653,955,628,966,594,958,048,517,138,256,209,
762,487,027,737,375,535,007,906,770,303,432,328,659,915,555,242,690,860,997,
231,452,639,145,075,192,700,716,407,016,280,548,414,337,641,905,538,278,930,
941,761,449,460,067,772,118,536,383,512,791,741,657,979,370,993,227,170,982,
285,911,060,687,451,932,366,211,269,799,585,003,916,707,404,423,445,062,812,
004,298,487,900,104,100,179,380,523,693,374,861,780,910,890,060,230,410,934,
014,010,492,573,572,121,826,231,113,898,918,812,662,839,128,155,711,847,480,
694,291,403,473,123,019,548,679,513,571,179,751,997,443,042,202,945,910,277,
504,902,144,933,908,264,242,029,873,262,845,924,995,529,297,308,950,959,956,
356,997,409,833,022,464,220,555,041,997,335,018,649,714,710,247,655,798,965,
439,213,182,537,505,376,232,293,552,554,631,538,106,195,642,652,417,878,408,
961,112,631,966,120,038,985,122,881,373,011,449,780,776,488,202,794,319,290,
950,515,337,503,892,209,867,094,094,241,810,051,940,252,816,711,715,537,191,
530,851,650,459,968,104,723,219,393,618,962,246,978,074,300,148,847,166,550,
586,103,027,844,069,493,032,643,031,345,511,486,964,996,112,811,371,424,640,
112,076,494,796,106,851,481,112,935,826,430,821,711,533,954,833,850,966,508,
121,670,223,943,807,339,222,418,967,691,005,486,483,525,137,926,109,656,551,
963,566,726,993,484,728,900,956,978,947,059,270,707,897,110,605,163,233,707,
147,669,771,727,022,752,028,245,077,789,703,318,075,150,698,980,527,885,591,
289,696,030,670,040,564,453,681,936,206,859,017,965,980,618,504,343,061,463,
493,920,380,697,151,070,840,104,478,859,227,517,553,494,362,104,259,603,170,
978,765,521,518,603,532,580,753,998,735,107,900,105,456,708,320,455,405,802,
588,612,167,715,126,412,530,288,267,826,370,636,637,370,792,497,596,701,065,
157,359,496,292,316,023,387,037,142,002,415,866,599,826,315,448,540,474,300,
660,122,372,795,217,483,794,480,318,101,140,426,685,597,092,537,499,498,564,
760,116,524,625,570,319,796,444,883,044,604,937,684,570,255,635,060,269,685,
940,360,505,033,753,218,105,779,645,167,211,465,294,337,989,115,066,927,731,
942,468,913,044,348,680,557,790,123,312,196,246,284,819,034,373,210,829,326,
516,129,122,570,793,160,684,114,489,377,872,076,226,887,450,115,008,544,257,
285,079,614,250,547,632,311,844,859,895,975,474,643,208,861,890,740,647,408,
689,164,393,199,056,512,812,818,849,741,842,075,668,444,138,898,494,459,804,
815,781,609,784,733,036,664,863,003,158,447,526,496,082,402,142,858,920,189,
675,392,346,515,303,160,889,088,034,628,277,744,123,457,594,841,036,327,234,
850,271,839,979,931,851,682,075,422,096,423,960,761,813,692,344,385,525,988,
403,739,012,235,309,470,914,469,184,282,334,903,732,045,976,532,930,176,991,
831,328,248,260,661,367,608,570,929,991,974,322,870,371,231,095,011,585,611,
141,300,855,709,908,102,541,160,150,611,772,143,977,927,164,024,773,549,002,
363,713,932,465,061,783,431,124,257,328,371,378,581,947,400,470,949,527,476,
564,128,217,886,038,603,860,594,959,722,046,514,320,203,644,659,713,744,692,
506,155,704,163,619,227,845,213,004,329,830,717,581,900,945,267,323,683,842,
370,790,871,537,047,290,664,647,140,632,703,575,323,994,199,003,762,630,595,
445,706,704,060,945,116,075,859,399,627,446,259,028,676,792,927,347,677,744,
473,059,035,889,414,989,206,060,884,887,566,711,656,928,212,920,263,395,865,
157,760,694,469,970,090,976,083,534,610,578,082,345,776,253,705,312,132,132,
900,267,501,380,563,605,566,418,250,440,481,749,810,765,047,395,187,926,741,
347,886,082,737,115,988,295,363,462,372,830,217,277,303,806,211,860,501,995,
036,002,145,837,731,924,066,527,756,811,519,170,980,877,882,114,286,959,580,
484,703,505,710,373,264,400,510,609,500,890,335,375,969,704,548,863,854,716,
834,540,487,262,579,158,527,626,120,485,255,789,714,523,858,091,602,460,904,
473,848,184,996,840,161,211,918,218,157,122,793,226,276,648,921,944,099,557,
455,877,293,246,424,005,295,833,447,891,764,200,610,046,189,171,506,055,779,
972,310,067,053,134,037,025,431,728,581,630,257,320,019,662,782,256,838,028,
852,248,729,050,839,904,089,764,784,303,279,647,610,691,405,654,575,268,988,
947,250,268,462,960,302,080,012,522,298,752,469,934,217,220,015,847,531,440,
919,503,868,802,043,553,514,127,440,803,439,924,219,860,819,609,037,523,899,
045,611,316,826,384,212,043,199,824,662,127,343,579,687,880,184,552,284,660,
127,246,773,437,124,295,686,455,121,960,213,280,799,970,933,540,297,398,782,
771,499,625,091,613,903,168,760,887,844,857,576,144,557,986,172,072,399,239,
356,915,868,017,668,068,972,880,399,728,471,552,602,275,055,678,655,033,174,
719,167,763,455,634,706,370,960,160,083,259,059,825,607,172,928,925,271,387,
720,102,643,163,370,617,116,653,115,579,583,829,439,185,346,674,316,484,171,
744,583,730,927,823,661,821,761,080,737,671,014,972,854,467,875,985,636,763,
979,838,585,002,271,910,769,642,110,171,217,476,412,931,580,894,402,853,801,
846,477,986,130,023,871,437,805,507,624,187,367,631,009,725,911,125,143,181,
993,282,341,673,407,197,039,900,428,772,431,332,989,956,004,197,379,599,343,
387,546,096,210,443,041,307,952,364,845,559,303,867,948,342,922,858,764,099,
216,479,368,575,076,976,132,350,329,642,169,341,750,663,272,696,736,956,270,
525,540,479,198,032,097,082,711,435,343,185,352,102,323,166,600,543,933,398,
418,152,831,937,195,697,442,404,267,570,331,616,617,376,249,479,905,492,571,
112,681,001,611,378,262,151,734,487,372,209,546,851,732,368,985,432,773,095,
719,580,852,813,310,531,368,459,110,007,016,379,440,328,840,304,446,103,552,
792,641,019,849,175,936,935,957,283,003,934,477,884,155,735,218,047,174,090,
972,068,105,271,078,572,930,505,883,776,746,513,817,862,219,907,621,154,973,
311,732,222,625,162,157,691,132,209,936,255,538,882,490,635,356,758,794,628,
592,213,128,750,310,911,127,605,355,921,129,605,714,095,042,613,766,273,205,
646,358,610,174,434,196,629,099,837,353,209,853,505,998,051,727,705,321,123,
395,604,866,561,492,773,557,996,708,679,728,057,297,079,536,483,929,379,859,
080,232,872,320,930,496,667,874,058,728,276,424,189,873,431,981,359,140,169,
367,099,744,208,031,899,769,595,364,571,217,233,179,739,474,511,765,616,819,
249,612,587,303,861,103,680,961,705,107,130,806,170,798,605,395,697,955,056,
216,876,921,970,611,743,997,268,345,436,718,697,890,212,578,890,571,618,825,
660,959,105,834,292,890,549,034,962,513,952,454,418,666,267,423,114,176,506,
773,895,420,594,437,333,664,916,894,565,054,399,624,164,415,997,634,641,153,
241,556,065,911,144,154,994,625,033,123,370,380,461,966,502,783,322,774,137,
813,309,162,980,087,138,450,470,631,230,816,227,136,017,693,943,922,472,264,
619,486,147,208,175,487,804,687,583,168,966,838,129,167,513,398,132,783,090,
478,223,780,858,053,231,641,030,042,504,020,328,463,475,646,120,284,579,456,
903,337,604,443,447,318,956,007,550,059,521,019,716,401,974,812,477,976,400,
773,823,886,506,954,095,616,335,423,419,825,999,186,427,246,463,642,131,465,
329,449,695,539,213,921,732,845,687,020,175,346,427,885,184,248,499,134,708,
758,602,836,462,224,180,952,629,578,520,979,027,046,450,533,903,988,859,544,
694,114,132,379,597,471,932,014,245,100,957,101,776,915,205,389,757,546,509,
328,061,967,713,654,341,524,600,427,367,137,627,271,583,199,149,678,577,782,
965,762,880,347,074,432,596,241,275,583,043,653,904,122,568,941,082,741,561,
867,247,988,257,988,037,231,763,724,636,201,364,234,471,435,183,369,218,129,
432,940,543,363,509,417,727,479,752,970,467,839,348,424,366,956,942,105,598,
333,794,570,708,700,275,146,802,407,320,027,563,817,258,052,247,500,163,676,
092,390,884,799,838,959,827,588,139,609,661,837,539,983,434,636,006,632,485,
811,009,071,620,805,746,887,982,027,591,407,116,329,418,412,009,061,645,911,
910,216,487,106,315,494,821,266,759,727,733,806,965,900,545,807,465,125,090,
742,459,021,876,630,223,113,805,260,864,953,266,737,083,753,589,719,714,687,
373,019,807,502,446,164,670,203,669,443,880,061,765,827,650,213,340,323,946,
804,758,400,187,130,248,165,247,619,903,504,703,844,705,397,924,631,216,754,
687,131,503,046,649,285,566,901,990,125,168,512,349,005,771,988,691,415,710,
194,195,373,320,718,823,909,614,523,120,615,513,672,425,240,136,392,543,808,
033,711,848,472,573,178,314,945,600,654,300,598,561,298,724,971,044,550,294,
474,028,215,965,891,218,373,426,954,282,575,255,856,891,875,706,877,173,098,
378,994,196,892,015,971,959,709,454,375,003,585,418,890,627,058,224,115,812,
286,336,317,872,100,188,525,077,764,101,494,649,915,056,996,833,554,378,439,
602,866,591,611,237,307,751,940,491,873,251,235,702,192,376,553,604,614,519,
752,708,943,992,650,908,582,124,734,818,452,539,690,599,394,069,319,251,394,
210,734,197,450,582,728,328,192,587,464,520,335,312,413,458,722,616,938,895,
849,611,846,692,502,990,681,237,139,620,968,937,363,365,556,609,557,522,491,
345,988,020,321,443,082,518,614,368,040,748,090,576,812,794,629,013,038,662,
152,451,510,237,288,312,788,099,564,258,132,861,988,311,439,590,711,896,661,
218,772,855,428,956,132,785,786,142,572,688,663,270,560,234,104,736,363,207,
253,886,836,896,377,125,281,122,730,326,658,289,110,719,018,683,383,631,087,
473,665,148,087,159,517,567,368,314,128,418,684,020,566,967,891,666,185,732,
381,957,921,824,169,054,862,833,818,093,776,254,150,940,576,463,034,560,634,
139,367,567,577,421,132,710,896,040,893,553,646,291,782,898,587,811,561,497,
491,732,142,577,266,333,980,315,345,710,201,628,499,766,236,913,766,174,006,
775,683,731,355,666,138,488,747,409,381,049,419,198,040,950,561,351,334,727,
719,568,523,105,384,404,527,009,860,045,102,408,522,015,918,743,246,746,944,
757,131,345,677,140,299,701,238,246,704,099,349,570,752,962,335,591,502,066,
709,348,566,056,878,384,910,847,991,636,201,380,483,544,717,920,646,649,977,
891,426,141,737,696,118,958,580,805,439,525,945,115,902,447,448,059,336,505,
446,099,766,975,032,019,222,605,786,278,683,932,350,237,201,016,483,789,066,
920,831,574,945,466,658,116,000,820,079,312,939,599,133,309,919,561,379,305,
887,941,171,249,736,799,167,457,409,947,973,505,748,375,459,187,640,953,217,
964,529,683,050,109,196,565,444,376,060,078,100,148,573,501,747,439,193,208,
867,880,998,831,015,168,372,073,942,511,244,797,008,596,146,290,540,960,718,
289,392,249,166,324,227,832,467,202,679,191,422,442,547,720,266,356,292,196,
103,868,571,609,864,065,985,578,076,598,319,135,265,554,296,878,373,939,063,
539,151,204,940,814,666,998,536,455,792,025,919,755,072,518,724,350,370,308,
831,317,282,082,175,966,156,053,943,057,983,609,043,608,208,529,259,121,728,
057,771,790,248,979,224,610,203,375,496,342,997,320,612,870,279,629,678,318,
816,846,881,350,729,827,890,654,040,536,041,149,651,619,201,216,579,607,244,
935,067,043,636,856,246,472,826,964,859,989,611,279,670,383,264,908,658,272,
491,628,361,998,028,868,968,545,616,790,526,410,726,132,896,637,106,299,292,
179,585,982,352,591,037,405,283,222,579,429,898,411,443,538,827,846,866,766,
525,700,844,292,446,015,143,177,474,070,542,096,098,948,172,053,448,274,793,
260,538,502,281,322,104,138,251,204,640,243,032,643,741,154,960,984,481,378,
041,620,021,279,814,175,599,882,645,313,220,208,580,480,263,040,978,484,312,
720,477,196,423,188,361,750,522,218,832,074,075,144,902,106,647,607,016,614,
747,961,107,320,793,887,856,520,171,287,750,937,562,270,871,652,447,589,869,
775,212,348,098,283,353,975,094,741,967,816,488,837,879,409,044,839,076,470,
699,371,238,775,883,131,068,472,776,649,510,042,988,594,778,776,758,575,784,
319,717,245,043,105,117,278,016,693,366,380,782,574,811,982,394,304,709,203,
579,006,448,411,727,681,744,395,611,105,767,286,519,241,649,788,503,062,018,
213,070,469,766,397,435,457,410,545,828,262,926,132,417,083,818,816,476,003,
503,671,366,333,595,287,350,955,364,937,585,669,328,657,691,744,459,678,501,
975,095,821,896,057,699,465,196,166,583,859,166,681,234,073,834,350,100,210,
406,450,758,268,022,625,858,181,668,915,376,899,255,238,573,490,708,879,610,
248,244,954,067,768,718,160,289,817,277,547,507,848,961,819,155,912,537,083,
822,363,349,326,706,570,212,983,249,737,306,145,775,193,988,170,851,679,251,
130,011,909,762,527,402,695,994,204,625,588,114,841,246,674,127,388,403,045,
849,661,322,692,230,440,606,612,525,697,996,556,610,255,060,558,392,932,418,
303,854,507,256,032,536,619,675,197,850,630,637,116,821,528,017,614,496,524,
336,552,537,355,184,312,157,877,629,762,399,048,972,066,489,226,304,253,421,
516,625,776,902,398,881,220,427,544,107,115,843,766,192,003,242,238,836,182,
260,217,591,378,025,681,461,511,289,940,142,848,301,560,851,837,362,217,108,
533,104,011,360,988,137,590,740,926,285,040,870,362,576,617,663,537,341,497,
288,973,076,233,034,927,926,963,186,631,517,588,812,968,910,453,716,418,689,
586,321,947,970,975,284,721,888,400,427,468,177,605,197,090,361,666,382,360,
493,078,430,133,387,354,216,159,530,767,813,519,395,163,996,404,895,006,371,
434,667,877,396,793,500,301,833,853,726,857,596,905,935,925,827,628,498,445,
925,404,348,016,027,956,232,981,759,490,557,663,092,329,161,462,877,890,119,
020,468,461,227,284,710,380,525,105,028,223,122,138,182,939,845,289,666,090,
121,478,359,064,370,258,400,165,737,028,098,128,047,496,338,814,530,816,529,
134,824,305,333,701,579,133,185,749,590,315,736,613,414,366,430,478,862,221,
501,575,913,495,793,405,838,836,224,755,798,066,080,039,286,898,620,278,808,
076,095,372,057,058,717,549,075,162,642,417,903,267,732,207,261,207,099,194,
110,746,574,318,579,185,707,759,268,133,991,306,392,372,275,978,056,273,425,
534,774,371,776,762,152,646,770,459,620,696,442,367,169,252,725,646,340,506,
360,836,150,011,650,959,810,535,734,498,642,864,728,362,535,323,622,046,395,
830,765,843,234,818,880,909,672,303,788,100,330,051,256,311,473,445,206,799,
193,118,447,034,145,844,327,688,435,094,113,479,390,056,359,833,763,266,990,
338,486,561,736,911,329,258,178,665,950,975,786,372,580,498,017,871,146,980,
246,386,458,887,397,156,237,645,779,835,008,065,778,161,696,562,622,311,715,
374,109,473,187,002,995,580,028,171,655,123,504,102,311,424,750,647,418,053,
651,502,890,810,671,638,573,726,738,960,090,570,544,300,480,108,922,378,507,
973,388,977,080,909,699,558,160,434,067,947,293,704,087,724,816,392,414,597,
970,902,672,966,761,065,266,219,434,588,582,778,161,734,460,935,217,184,224,
605,389,896,374,129,190,134,766,004,243,439,811,612,593,988,796,037,865,454,
626,269,583,121,425,506,506,060,914,240,910,830,050,255,552,933,726,248,162,
295,338,253,248,097,039,490,458,242,359,924,368,271,825,814,501,430,988,252,
600,242,498,141,777,544,972,358,238,243,330,808,926,055,634,299,492,155,806,
299,072,801,134,909,038,610,600,364,886,402,244,962,043,380,953,509,476,256,
255,243,533,444,651,130,387,195,738,820,419,931,561,662,928,199,972,935,762,
074,170,868,793,902,272,954,360,083,673,425,122,886,669,776,476,382,664,867,
123,548,272,663,251,566,275,221,638,192,609,155,799,100,784,124,482,906,623,
280,474,223,948,393,271,185,530,842,284,211,106,593,520,320,599,397,911,757,
412,531,564,055,905,677,089,271,924,165,242,580,692,802,529,287,660,953,300,
682,826,529,279,516,078,998,227,284,434,561,079,209,777,940,698,067,904,390,
351,757,279,940,260,649,295,503,077,694,349,182,598,065,202,626,408,707,234,
816,853,580,778,067,872,554,147,202,844,441,995,986,672,751,290,653,109,572,
922,161,550,577,350,866,191,541,360,850,790,482,784,655,424,392,244,241,836,
902,909,774,945,276,692,054,279,615,767,693,816,961,256,601,479,738,462,650,
585,885,455,325,775,223,986,709,399,437,433,075,124,062,083,908,673,571,746,
916,480,134,562,199,264,112,360,353,849,088,974,960,577,500,757,626,150,145,
880,150,144,631,215,875,573,255,702,059,347,016,959,846,433,643,287,526,274,
506,820,592,428,012,080,984,830,105,537,623,651,685,459,495,153,141,537,330,
315,028,601,694,802,539,093,597,275,224,996,161,054,044,302,745,444,616,358,
343,422,957,382,940,980,762,597,785,179,604,154,040,280,351,620,078,446,733,
790,351,633,387,174,297,847,716,123,118,684,295,786,438,659,700,512,700,230,
358,793,157,170,833,975,475,386,287,790,848,272,421,700,054,347,103,258,953,
804,787,019,413,023,918,700,752,896,926,649,643,082,468,738,464,476,161,192,
315,364,157,075,885,353,678,348,312,203,729,135,864,909,796,091,569,242,610,
491,962,390,151,684,733,173,855,178,450,679,605,898,893,318,192,010,647,592,
043,979,395,429,667,558,193,843,549,909,054,953,248,374,106,504,758,668,799,
789,344,874,682,239,745,181,061,155,961,730,677,928,056,405,216,858,488,816,
310,415,659,182,942,984,694,797,610,958,318,341,358,661,914,109,851,458,821,
810,508,844,599,651,160,897,459,569,542,412,447,035,749,065,049,751,114,756,
886,291,816,687,063,644,563,307,300,637,088,538,145,837,932,790,574,386,828,
789,953,285,215,349,212,471,847,306,659,253,000,843,870,521,600,347,394,252,
704,376,494,264,829,067,781,642,220,119,439,289,133,467,850,532,715,393,377,
255,861,299,188,436,324,301,787,041,324,285,050,806,349,450,644,717,664,763,
783,459,558,894,599,631,223,626,720,084,255,578,872,413,691,609,870,161,517,
465,209,821,754,236,154,244,174,551,992,159,371,118,190,818,337,289,372,123,
992,408,511,883,961,337,589,755,814,361,837,750,619,919,608,611,527,787,592,
139,703,292,825,813,750,576,540,708,960,768,309,430,490,031,697,290,153,499,
085,502,483,740,729,891,269,016,350,700,298,969,775,051,892,115,822,135,634,
217,962,784,039,725,991,942,439,980,348,768,756,351,873,754,262,609,758,945,
854,142,689,593,187,007,475,576,174,926,657,520,860,540,194,304,219,690,874,
222,697,168,742,552,782,666,077,130,529,675,672,370,166,090,476,382,138,591,
164,653,033,779,767,525,282,236,656,921,344,653,881,022,942,968,770,869,353,
014,022,049,698,415,769,023,287,971,295,500,597,838,448,988,975,882,944,700,
606,340,958,994,777,365,880,008,548,170,271,998,871,683,100,572,909,065,007,
984,027,043,154,502,101,559,804,671,173,036,221,557,448,844,611,462,097,843,
507,563,387,821,045,497,498,823,896,095,342,387,055,957,806,921,258,269,196,
151,830,053,884,045,930,210,765,173,119,858,712,685,667,737,409,539,733,454,
345,367,315,906,319,837,592,351,877,123,585,973,737,008,829,388,914,688,438,
435,101,399,979,347,116,314,026,472,073,273,415,424,442,141,257,619,914,493,
608,676,227,809,481,946,907,706,622,195,585,594,129,730,862,645,001,740,207,
765,682,298,912,157,098,933,480,439,251,631,461,279,031,016,495,399,248,336,
660,768,240,883,776,478,635,771,319,626,659,834,613,606,062,559,065,214,709,
754,540,520,830,108,869,932,033,753,841,903,961,983,661,978,519,397,444,070,
536,319,529,779,410,858,527,620,502,233,633,374,490,524,673,366,786,830,430,
489,532,459,391,333,045,745,772,956,203,715,474,230,958,753,524,063,920,720,
366,748,197,806,780,389,425,227,795,219,776,420,040,933,729,691,649,602,373,
829,145,802,002,870,240,362,829,426,826,609,172,458,698,459,705,020,032,721,
219,044,730,931,935,079,301,460,564,785,808,303,882,557,013,048,598,435,007,
325,542,652,296,416,858,696,515,435,345,396,671,148,178,928,518,078,221,580,
284,728,904,083,800,297,731,189,777,904,918,927,883,091,849,847,005,847,133,
942,019,896,489,149,136,357,510,581,309,610,127,727,704,002,093,095,541,943,
131,562,613,024,328,349,639,003,118,036,505,157,929,376,463,710,220,236,676,
545,872,312,077,057,056,945,385,304,850,945,360,781,658,880,483,349,963,508,
407,070,208,586,882,087,985,433,484,953,376,763,440,390,530,329,337,045,484,
596,887,672,139,061,495,366,044,975,270,529,214,662,925,049,452,626,335,564,
790,627,719,071,085,039,216,538,947,325,004,006,474,342,426,990,358,513,857,
241,247,011,443,277,408,371,658,324,330,141,343,608,151,528,962,032,172,627,
798,849,630,069,282,564,625,541,387,285,607,003,245,056,192,191,132,901,447,
388,697,808,862,477,735,729,938,058,756,056,450,892,828,060,857,893,237,991,
285,822,931,429,924,945,100,127,041,809,468,332,201,567,479,904,988,885,124,
347,050,607,221,925,508,354,249,215,755,212,788,317,077,691,436,989,793,010,
315,055,364,067,507,492,655,371,742,661,549,089,333,427,194,149,387,930,958,
990,274,852,203,950,227,637,852,402,825,001,436,690,343,135,751,803,582,633,
124,189,726,505,799,589,990,537,512,833,634,839,842,955,014,138,831,780,130,
784,479,552,594,599,774,756,182,314,582,352,286,264,540,974,753,900,762,949,
556,838,893,285,865,326,671,168,873,511,201,491,699,724,482,988,882,613,135,
354,773,919,196,962,682,555,081,854,681,264,567,266,283,369,999,554,384,702,
876,860,922,221,263,781,731,505,698,695,927,840,543,334,840,706,710,563,210,
844,854,038,673,201,599,251,190,303,158,524,975,940,749,987,854,502,261,214,
569,974,510,922,854,132,694,595,489,669,966,613,764,559,452,910,930,978,864,
151,806,877,198,999,294,303,917,270,900,038,689,261,901,947,912,247,813,317,
764,142,499,586,177,630,782,480,179,325,439,778,291,489,601,860,955,756,588,
268,642,056,870,154,563,861,728,167,853,623,306,029,758,118,960,550,235,760,
550,016,559,393,637,454,761,410,520,649,905,970,098,941,280,518,682,256,385,
941,359,768,564,131,865,801,398,753,762,944,011,551,349,670,861,390,523,509,
139,438,775,510,019,217,602,886,375,242,305,983,150,501,087,840,746,427,755,
743,808,760,848,170,137,083,419,339,795,822,824,167,460,584,649,107,836,139,
664,002,448,056,499,940,629,997,693,148,688,939,430,792,519,099,210,345,098,
288,596,069,603,137,872,471,556,465,218,889,755,730,468,985,089,198,884,291,
414,107,856,150,095,259,696,506,958,884,864,673,824,632,116,703,187,866,300,
085,829,316,179,839,064,717,328,046,531,241,165,053,786,929,299,552,182,133,
630,825,342,944,327,119,051,599,729,353,774,651,470,280,733,333,670,235,873,
935,720,392,841,791,661,475,940,597,813,876,728,086,709,967,993,013,174,779,
533,494,564,530,695,409,530,829,458,241,006,920,086,822,069,342,075,287,115,
862,247,542,000,908,501,972,058,702,227,396,945,750,122,699,334,170,603,460,
770,363,171,135,964,268,636,168,976,945,204,265,691,521,431,272,963,131,289,
721,029,916,676,145,008,767,673,688,400,622,523,334,064,941,417,988,621,927,
515,821,337,922,231,780,138,383,009,241,194,381,177,180,646,981,465,285,357,
401,451,250,425,866,175,023,708,347,243,510,794,258,350,939,361,555,359,330,
868,567,238,485,404,415,174,022,937,776,529,375,910,137,754,395,489,667,015,
259,567,442,871,456,049,995,111,019,521,019,584,594,755,427,807,565,597,780,
638,277,819,517,531,026,926,603,424,562,553,685,464,531,636,970,739,863,030,
806,839,262,960,891,724,895,917,224,491,106,602,881,967,608,034,340,114,918,
830,687,027,587,967,029,167,766,551,253,275,223,204,133,862,119,031,706,244,
452,668,150,230,579,396,506,966,291,070,803,603,369,254,224,088,327,054,385,
273,152,422,384,189,047,333,589,951,630,045,653,482,408,849,997,350,238,693,
850,160,166,388,694,023,942,881,220,617,477,372,365,811,718,162,842,771,782,
127,418,745,641,990,978,893,064,494,804,202,258,546,002,536,823,016,538,674,
996,827,133,469,493,912,561,823,389,406,372,039,685,326,072,392,641,142,904,
698,739,945,830,042,697,470,566,418,023,753,827,712,325,051,998,218,776,653,
415,479,333,767,278,948,833,407,592,289,025,842,930,734,037,191,136,844,904,
792,347,459,739,708,711,871,307,349,909,767,996,677,563,548,978,281,508,220,
811,041,470,112,953,478,606,373,804,463,035,349,707,477,680,199,202,491,911,
943,031,372,841,779,031,125,560,168,422,917,844,390,668,633,366,001,089,720,
459,879,766,183,608,275,099,893,744,007,035,892,850,466,592,440,762,932,971,
614,561,251,896,693,685,346,661,848,831,141,022,103,809,942,610,469,399,231,
797,947,962,503,192,203,939,196,811,352,134,986,815,115,015,656,911,998,076,
984,754,365,268,818,136,909,308,975,324,562,643,151,986,089,684,105,988,784,
223,871,149,123,021,710,446,603,045,448,389,204,608,581,271,128,074,801,091,
812,701,670,534,273,331,480,095,146,903,656,793,210,484,445,507,242,027,870,
602,817,440,946,821,536,497,462,243,223,198,213,033,816,011,026,962,624,265,
603,726,484,541,547,100,558,543,147,403,791,585,706,232,040,613,240,251,498,
876,523,662,283,525,848,678,719,296,962,474,296,074,227,818,785,224,211,088,
561,124,553,163,168,260,883,898,090,033,622,123,043,061,172,164,135,688,265,
326,684,976,057,070,212,707,488,883,074,032,425,463,703,519,121,496,684,836,
927,407,530,076,133,550,516,794,909,757,704,042,973,076,483,248,571,093,219,
626,953,590,068,143,892,007,915,631,491,265,960,401,756,924,971,175,086,619,
834,966,212,025,454,352,958,325,154,283,106,060,562,355,805,465,403,499,521,
913,612,819,689,496,385,859,849,176,591,370,568,563,369,135,148,958,009,346,
938,963,922,474,483,274,536,156,780,665,560,655,626,343,697,706,871,150,157,
339,865,048,268,519,993,523,881,295,726,910,799,495,615,990,631,348,286,182,
990,753,487,505,944,446,898,324,046,629,382,802,167,883,521,114,714,855,280,
816,822,078,699,186,474,827,909,931,639,757,847,214,539,591,811,568,757,354,
406,621,310,093,238,083,861,123,275,466,816,690,084,054,006,283,133,993,568,
606,762,716,997,614,700,594,736,742,303,053,918,300,670,513,204,407,540,578,
664,030,366,902,844,132,278,646,800,316,236,967,812,864,881,221,603,434,992,
513,282,352,305,950,598,747,177,011,429,763,399,768,976,380,166,783,979,218,
218,990,013,393,195,532,457,771,664,922,335,859,057,198,979,004,848,841,157,
417,156,287,942,325,186,649,409,634,274,882,209,343,135,615,205,990,528,009,
035,377,920,282,280,415,538,674,915,930,766,757,766,448,960,310,178,427,662,
176,373,332,009,332,788,232,075,954,093,165,531,006,581,641,379,576,700,371,
781,821,188,810,395,016,192,461,442,703,477,924,798,255,393,006,178,640,197,
455,834,508,419,647,069,875,659,272,764,117,550,772,893,228,808,329,166,417,
729,518,801,869,300,959,559,758,609,933,748,323,413,747,804,876,347,769,648,
980,864,437,149,159,464,778,058,572,464,944,329,534,784,423,206,263,750,412,
265,634,629,798,185,768,080,284,813,930,260,288,281,696,375,967,406,991,157,
234,859,106,330,074,990,361,086,656,410,996,660,422,241,092,169,087,782,750,
429,872,511,138,724,865,565,628,553,979,659,241,695,985,800,831,511,210,946,
012,598,974,687,790,326,640,543,268,030,950,411,549,738,300,528,624,717,794,
927,011,038,906,134,148,915,210,527,545,889,004,461,336,999,125,785,316,815,
005,053,966,508,740,193,903,324,056,627,918,071,602,544,208,297,577,573,541,
032,138,806,295,519,018,750,941,542,351,094,227,789,324,711,245,854,416,547,
282,140,497,478,259,797,587,582,567,496,052,804,901,400,540,158,704,966,379,
363,468,392,128,299,510,173,626,480,173,952,246,697,113,533,241,706,150,139,
146,700,160,403,141,773,708,391,992,915,385,286,757,123,616,246,101,561,316,
301,537,188,864,875,947,173,765,660,365,294,169,316,498,191,820,709,325,477,
947,031,796,639,425,152,318,981,162,540,058,773,996,120,370,279,221,333,966,
031,248,601,512,396,812,114,021,460,532,988,887,570,377,125,978,196,293,837,
124,754,164,785,616,335,519,919,695,646,953,865,933,606,529,020,113,824,507,
039,829,048,146,874,889,862,398,277,017,511,950,685,984,808,850,030,398,885,
405,585,003,265,114,631,886,984,469,514,078,546,988,719,805,549,843,520,673,
140,015,282,364,095,486,302,400,207,479,491,293,202,522,677,581,792,206,109,
006,316,050,151,300,128,300,704,037,864,832,923,480,064,737,431,332,589,702,
311,926,372,132,752,371,877,743,280,791,780,952,743,697,392,912,960,907,215,
296,324,139,374,694,962,769,459,537,692,735,007,982,921,985,789,265,126,891,
686,438,917,396,684,019,534,548,194,012,411,589,447,739,503,313,836,179,387,
539,261,401,547,427,273,821,159,594,275,054,838,488,283,477,136,137,693,642,
440,594,796,443,288,820,697,896,500,372,540,347,347,573,863,694,996,973,681,
496,642,660,584,161,470,776,916,568,669,189,130,803,934,726,458,879,299,864,
351,146,431,783,689,642,548,635,021,835,613,064,565,724,737,974,057,493,982,
519,127,486,402,525,127,560,690,957,117,696,678,200,565,935,403,832,903,803,
247,644,321,966,788,277,780,019,069,221,279,102,690,347,034,854,165,585,203,
918,934,084,178,724,652,568,866,167,126,476,825,276,867,580,396,491,875,315,
175,048,947,257,944,493,367,958,850,345,757,614,419,868,755,536,969,728,576,
049,890,238,494,850,018,142,903,853,943,986,757,877,768,022,052,126,171,309,
276,653,656,629,013,243,750,871,344,225,207,401,321,155,734,110,095,308,530,
457,682,298,052,267,472,982,809,021,535,521,456,060,535,178,654,353,955,588,
066,324,260,962,826,658,713,230,444,832,799,898,205,876,240,072,158,739,098,
415,847,084,180,938,785,440,010,981,896,498,055,760,805,197,025,936,865,892,
961,663,844,212,069,529,088,571,691,054,199,643,005,215,614,034,800,985,978,
474,083,819,365,730,660,508,417,341,734,084,653,811,251,670,687,999,400,879,
219,358,006,723,548,708,685,640,128,677,371,737,068,306,066,281,613,112,806,
706,285,927,683,508,892,297,344,482,931,388,137,399,408,388,773,131,737,583,
713,832,601,888,257,458,676,210,399,369,476,734,323,479,955,242,644,798,258,
374,913,715,987,092,041,337,156,531,026,846,179,818,055,027,885,122,761,962,
497,618,195,798,645,917,570,182,249,227,121,630,982,624,634,568,188,738,362,
119,749,945,200,992,779,294,507,144,349,868,623,158,611,302,654,099,969,574,
505,775,898,245,191,648,145,441,550,302,169,080,478,094,198,546,023,504,555,
457,592,346,230,918,802,680,484,475,010,808,077,566,266,814,859,050,412,306,
940,342,901,847,963,369,443,144,694,407,984,580,800,350,396,993,253,664,645,
159,721,349,209,312,989,010,987,477,506,149,130,971,715,681,047,658,199,024,
346,461,314,751,672,681,726,339,940,116,635,498,128,223,530,927,363,957,558,
295,565,506,764,152,405,777,306,623,549,265,648,787,516,295,509,349,459,556,
046,778,871,132,785,816,435,431,587,751,054,171,717,866,536,531,592,061,419,
609,607,664,647,599,255,532,499,704,180,356,253,147,340,494,303,655,267,479,
495,237,141,011,236,224,642,432,789,676,939,141,999,179,206,153,054,902,498,
054,971,054,531,791,443,340,761,974,153,469,246,935,877,766,132,398,576,631,
346,398,521,256,725,662,563,117,941,644,683,789,335,492,934,833,561,050,436,
066,130,210,119,510,246,388,574,018,361,636,856,880,131,967,598,288,198,784,
958,552,171,266,978,981,138,384,972,547,767,681,184,500,737,245,276,235,274,
572,065,958,476,144,356,428,540,590,777,287,973,976,631,338,992,909,021,387,
070,422,398,381,117,870,138,566,400,180,851,452,725,080,174,818,090,652,165,
742,174,864,277,490,370,322,065,933,998,528,996,074,143,282,332,098,328,424,
149,537,647,945,971,281,069,312,052,303,821,810,585,756,531,719,971,174,404,
226,903,905,162,587,187,725,661,682,007,888,014,091,826,419,894,908,562,555,
108,377,606,420,945,059,406,143,215,205,584,886,191,188,983,458,224,687,461,
628,739,669,845,709,454,114,553,056,916,524,791,064,752,192,597,577,814,799,
019,299,691,254,182,469,223,033,194,584,464,330,272,408,599,191,203,472,526,
455,735,693,002,366,284,786,682,004,895,163,080,566,915,462,982,875,027,672,
580,479,554,043,109,021,893,116,033,136,731,955,520,101,941,254,501,744,087,
690,852,217,090,570,695,544,065,707,342,164,468,891,937,121,482,401,161,990,
713,623,379,441,211,047,538,803,319,263,807,854,419,614,579,694,114,593,755,
304,983,404,994,895,395,186,047,601,699,768,414,557,852,771,602,534,167,356,
843,570,843,302,477,696,017,151,137,470,968,238,058,051,658,301,995,688,393,
779,523,020,959,285,906,090,658,951,001,976,431,415,193,787,923,034,306,862,
566,886,526,134,304,812,905,091,385,551,395,791,500,935,935,437,183,758,748,
947,834,903,523,693,461,806,439,697,399,269,404,473,726,447,932,393,520,927,
315,410,136,895,189,333,523,136,381,099,171,790,041,002,175,713,226,626,428,
668,913,183,996,590,580,729,479,250,931,201,142,334,712,136,542,042,700,143,
503,956,755,585,286,444,174,200,810,960,982,607,164,720,059,873,191,988,982,
315,699,326,848,108,737,091,624,293,740,648,173,654,526,707,282,802,988,865,
511,301,008,881,190,817,676,607,666,947,217,187,526,700,547,654,437,015,877,
798,315,848,971,865,886,827,657,273,242,062,386,216,115,459,537,455,551,408,
758,245,890,242,295,398,447,488,127,347,825,378,333,744,999,830,468,252,461,
098,372,223,799,021,354,872,079,299,393,608,496,308,822,126,572,279,737,047,
636,604,265,174,818,659,245,324,527,097,805,380,542,872,724,840,949,400,693,
154,418,108,531,754,109,809,366,530,216,088,071,482,487,277,120,192,700,746,
359,584,880,555,637,310,502,106,971,415,588,568,145,007,204,383,541,105,558,
261,472,927,536,696,170,220,056,832,690,238,617,991,434,130,181,197,942,278,
077,168,954,089,588,762,314,782,529,114,606,820,173,207,553,823,064,783,500,
352,814,127,093,954,960,549,869,614,212,142,843,879,207,163,071,606,375,636,
064,682,902,668,654,234,118,237,778,709,571,453,773,599,230,332,589,090,625,
385,555,832,166,326,450,047,760,408,079,575,919,467,500,395,753,596,438,832,
534,726,541,506,351,452,223,373,154,109,195,699,102,616,744,204,046,331,141,
556,503,025,860,130,613,172,756,685,257,439,765,561,288,199,592,787,661,870,
585,292,640,162,668,022,395,088,005,691,390,172,144,344,189,503,161,540,464,
639,303,267,198,478,053,978,687,109,261,063,863,774,420,531,046,205,972,174,
656,782,669,513,166,789,629,128,707,183,247,547,539,699,503,059,237,619,260,
935,641,210,891,461,975,816,205,442,582,504,080,423,572,659,939,319,567,206,
064,192,069,182,481,734,657,020,224,888,293,573,686,569,512,867,398,978,912,
112,598,029,397,811,833,997,351,493,490,915,930,289,250,765,811,430,747,239,
179,359,716,289,738,738,388,737,191,981,060,437,152,153,744,298,973,791,333,
779,394,645,134,453,723,130,208,917,036,676,377,612,423,409,911,356,456,267,
618,303,457,483,155,637,246,248,468,280,727,624,616,116,122,959,746,788,815,
647,635,213,708,244,369,779,132,612,636,696,686,012,330,799,988,490,026,619,
079,046,572,922,961,732,838,033,962,087,983,487,440,296,524,773,252,166,069,
103,240,002,255,248,107,734,573,235,625,332,336,210,255,418,383,647,464,553,
431,054,772,719,880,583,924,001,703,004,499,608,142,674,291,341,142,373,062,
206,963,282,880,994,198,188,063,306,020,958,061,869,077,932,747,571,964,301,
693,122,157,321,362,312,702,536,743,545,709,148,760,841,873,603,427,433,408,
260,784,621,411,776,851,303,659,320,544,480,463,514,951,699,070,548,905,730,
196,483,060,463,120,185,794,610,136,115,334,154,073,864,891,132,193,275,916,
558,574,616,893,977,778,716,672,682,848,172,660,608,290,129,836,787,574,985,
312,965,458,630,217,010,908,189,910,058,070,128,456,961,918,165,854,350,744,
312,245,658,071,805,538,243,107,334,425,970,178,125,361,270,508,637,724,923,
473,657,794,544,321,360,309,451,025,137,172,492,313,784,595,132,602,849,082,
772,499,982,919,229,180,831,311,490,269,177,260,878,101,533,064,717,205,051,
656,309,900,455,839,627,300,191,362,369,718,435,651,622,402,299,279,917,825,
631,322,112,808,105,485,505,295,489,265,242,951,411,361,853,785,876,406,772,
220,485,494,057,402,163,939,517,056,429,683,285,674,425,880,080,375,414,759,
221,183,339,335,683,676,806,387,475,418,008,902,802,058,917,898,278,998,063,
083,724,982,533,631,824,182,427,154,566,737,127,110,480,818,358,822,520,945,
833,135,946,910,306,076,758,883,874,761,434,891,478,187,064,277,699,090,919,
261,195,226,348,585,119,441,003,340,335,605,312,533,823,544,158,524,410,561,
429,116,583,792,364,352,554,919,346,209,446,776,956,619,823,261,703,579,083,
693,594,945,505,091,343,568,829,172,688,152,394,141,896,756,285,178,027,165,
057,615,818,290,077,546,198,944,348,203,422,600,661,606,555,199,558,571,034,
887,289,770,376,510,498,518,253,398,226,875,409,631,633,623,661,070,421,074,
978,356,444,605,776,274,810,261,177,098,466,538,870,875,370,043,665,382,248,
504,246,972,088,563,138,627,111,918,967,679,128,112,323,803,668,627,452,942,
204,581,859,957,625,262,740,422,044,161,256,337,002,813,551,640,854,929,902,
205,763,496,820,799,991,621,384,943,067,826,884,525,562,585,103,812,333,594,
944,678,784,389,549,106,567,120,672,326,660,307,441,737,175,788,579,460,712,
237,917,167,209,997,313,140,490,007,321,275,963,354,298,430,341,248,384,881,
972,863,323,986,939,068,266,788,985,519,758,600,020,587,614,981,412,913,627,
677,798,896,159,473,910,352,066,978,378,947,605,506,333,413,548,887,060,114,
821,252,363,424,655,020,078,468,955,612,397,028,490,642,215,254,235,208,270,
222,319,816,488,204,560,067,918,124,541,528,553,389,591,904,050,372,982,946,
443,897,542,822,047,226,685,460,471,784,618,015,010,361,168,695,735,407,225,
020,752,573,470,439,199,632,832,117,047,018,960,639,433,362,742,012,937,900,
920,007,636,630,500,979,860,040,004,555,760,815,426,852,102,907,164,156,581,
395,755,895,424,977,472,197,028,473,697,986,386,364,981,919,016,785,376,080,
879,965,903,678,026,817,193,408,679,859,835,157,435,242,973,345,891,934,164,
631,917,831,598,296,945,139,818,742,706,265,727,699,354,860,293,566,284,168,
975,026,056,098,851,044,046,159,456,801,829,770,770,349,840,403,006,855,107,
502,196,959,339,554,107,848,739,555,083,977,136,143,555,871,754,291,304,110,
627,739,127,444,640,514,012,137,918,553,977,136,115,264,339,525,417,379,942,
864,693,131,191,929,118,642,615,504,315,987,233,831,227,528,578,755,293,322,
451,729,548,749,249,209,229,548,006,161,923,389,250,641,966,369,152,412,635,
870,209,237,844,373,650,613,533,340,540,108,745,645,022,673,817,591,788,692,
343,594,850,099,022,741,209,728,357,331,426,069,137,874,458,877,968,839,963,
417,315,924,947,401,886,933,910,178,933,925,249,765,416,409,818,252,778,256,
668,381,578,633,187,740,370,687,416,315,402,435,646,661,818,119,139,456,419,
026,890,597,898,158,512,515,393,909,954,955,263,573,135,396,260,652,223,013,
612,993,424,622,795,195,274,866,540,449,220,550,043,167,128,551,189,602,806,
348,806,908,381,706,274,153,589,970,647,103,135,559,175,227,381,865,193,507,
657,546,211,900,433,707,712,088,960,994,722,359,466,180,852,996,018,932,446,
953,989,228,835,684,750,761,460,682,916,653,262,256,059,346,048,922,430,772,
547,804,958,733,614,413,605,790,298,828,767,259,829,701,682,393,980,663,305,
341,401,255,328,404,966,927,311,169,449,929,773,790,296,716,373,926,314,975,
896,478,447,944,162,574,239,705,139,390,135,823,743,034,760,017,736,119,575,
401,779,684,716,985,736,695,920,247,486,171,312,230,073,801,433,334,168,078,
322,506,606,800,802,343,052,358,117,136,570,944,011,604,719,199,956,487,368,
672,364,818,296,343,024,219,199,294,889,206,777,784,030,509,717,061,844,272,
467,000,369,049,599,579,632,473,700,102,793,976,935,549,241,315,873,527,236,
317,223,145,046,532,365,947,698,482,574,600,570,368,196,859,598,283,381,608,
687,547,752,673,683,008,210,585,683,412,343,173,574,154,059,994,787,779,651,
663,365,616,511,961,834,844,865,184,045,636,243,995,328,489,199,113,505,266,
377,493,064,952,763,897,141,291,128,931,787,819,664,100,198,617,174,168,705,
787,474,725,535,536,498,350,981,200,213,729,635,805,322,161,285,542,402,580,
050,325,031,776,551,588,206,749,514,655,881,487,974,575,105,643,186,565,634,
503,168,137,105,019,244,396,077,493,855,623,366,823,191,152,178,235,597,275,
200,923,768,769,046,747,037,238,208,268,247,141,975,847,673,805,113,725,762,
760,614,393,346,028,889,901,076,225,973,039,314,668,708,493,305,850,140,500,
910,432,348,275,569,309,770,330,336,315,107,613,062,002,407,094,866,628,628,
866,809,728,042,641,618,817,804,880,390,614,504,670,380,423,439,484,880,972,
452,604,144,404,512,643,905,570,162,172,272,059,262,081,514,170,290,908,977,
657,962,456,664,039,208,135,724,057,416,708,259,416,634,877,088,929,095,799,
320,919,555,440,146,620,901,272,373,186,961,373,750,985,901,415,333,542,931,
276,257,104,443,460,186,598,617,069,403,306,965,925,855,143,455,600,399,985,
231,432,612,095,937,429,674,088,890,161,471,549,464,445,330,336,864,390,792,
954,164,179,036,626,067,595,592,771,191,004,158,172,948,356,755,096,500,570,
542,207,613,577,698,073,018,668,367,652,895,352,460,271,801,696,019,763,496,
936,436,181,887,469,680,145,401,279,680,292,790,664,499,052,956,863,733,890,
934,645,645,836,897,617,540,045,920,552,123,867,476,287,310,351,700,437,498,
652,502,615,195,750,398,958,562,578,169,841,559,952,005,095,201,740,680,652,
584,082,731,118,261,153,143,328,056,761,626,240,605,084,396,209,159,754,388,
042,940,559,253,863,324,333,337,923,464,485,623,193,200,320,497,568,322,770,
735,898,732,686,802,491,076,635,232,564,682,409,445,037,250,320,684,469,232,
247,591,711,307,156,115,375,285,792,730,302,067,866,258,576,803,418,650,134,
353,981,241,763,990,257,670,606,461,740,346,577,363,806,834,657,142,131,777,
243,545,724,204,086,153,404,110,784,260,530,975,354,798,596,180,836,396,154,
630,428,720,216,072,056,469,473,298,791,984,789,010,391,095,429,000,096,551,
892,856,504,549,488,064,425,876,685,858,447,592,084,439,197,384,490,053,717,
766,385,354,914,331,628,192,009,760,032,494,340,614,317,672,688,144,983,670,
944,003,484,436,941,717,890,406,999,941,858,349,376,105,397,873,281,293,895,
425,554,607,470,989,590,219,997,486,119,678,705,734,002,355,373,797,829,072,
036,498,963,343,428,235,461,515,475,652,507,515,144,874,489,006,368,764,573,
042,056,596,916,514,036,267,712,865,158,891,471,834,893,959,696,381,388,664,
588,719,636,814,724,894,760,413,324,169,108,291,381,252,614,151,594,692,295,
549,290,774,812,351,549,873,559,620,178,814,364,854,957,734,548,192,013,240,
718,880,280,662,256,866,596,379,434,566,575,188,479,233,479,271,743,961,998,
487,738,574,261,243,146,977,380,851,189,026,850,807,604,333,375,669,221,344,
622,250,561,092,653,779,190,406,963,449,426,255,179,494,809,767,022,484,403,
661,874,153,498,279,551,498,709,045,966,954,689,015,242,549,391,346,647,337,
985,420,352,844,694,575,259,014,706,422,327,219,822,680,923,498,529,468,095,
082,222,204,029,760,600,734,136,113,391,879,653,173,434,711,556,456,829,169,
250,917,413,838,910,542,043,072,596,374,098,978,199,296,681,562,845,431,835,
015,672,662,354,372,990,056,209,620,916,490,721,363,165,670,660,213,583,123,
031,253,169,778,772,469,717,341,221,951,249,790,228,906,488,609,677,815,249,
016,023,313,508,669,730,891,596,089,282,816,110,960,868,774,507,488,200,322,
083,052,256,696,875,099,267,963,976,572,916,513,349,392,451,644,576,828,577,
989,800,896,161,501,647,674,346,946,115,021,788,793,494,529,541,539,246,106,
186,630,170,639,647,190,008,083,628,922,181,180,297,106,611,448,526,770,496,
512,675,973,311,857,981,015,320,146,432,623,244,813,675,377,372,759,391,688,
292,290,075,319,644,598,664,644,152,825,422,819,136,290,794,286,023,093,918,
818,194,178,357,418,324,416,126,910,312,922,962,796,379,999,328,354,117,623,
640,752,581,232,040,308,438,444,020,987,944,375,482,566,909,626,061,399,525,
718,758,104,611,795,994,671,305,542,652,574,547,332,129,746,689,380,482,399,
540,677,872,574,216,782,376,645,229,263,724,232,183,098,978,414,410,833,492,
708,045,142,206,048,608,526,128,784,418,830,582,289,316,111,487,787,043,554,
702,492,617,203,968,763,762,705,277,013,056,781,307,425,659,222,017,301,625,
793,487,038,409,439,352,884,098,864,603,704,763,782,301,177,425,556,079,918,
189,327,230,331,284,235,921,755,426,098,552,027,425,304,713,341,565,877,446,
511,854,566,490,009,726,180,562,834,186,918,453,048,531,125,743,190,921,665,
665,953,536,148,188,986,287,345,854,100,018,196,462,733,753,161,161,397,753,
063,969,977,379,353,213,749,559,220,758,182,674,800,029,313,509,808,790,635,
081,444,222,203,044,868,927,255,165,219,178,557,968,689,911,523,458,540,491,
226,776,539,974,304,267,730,558,906,594,709,785,465,495,377,498,057,652,644,
155,251,957,908,010,400,665,165,655,984,209,918,411,866,840,966,994,755,915,
751,665,689,777,202,055,762,622,956,011,095,738,090,845,417,590,177,345,557,
655,149,702,706,339,964,798,682,809,272,316,218,037,029,628,898,256,899,575,
839,552,920,904,914,995,010,168,881,070,947,667,618,409,574,735,654,568,826,
078,103,942,012,794,005,857,129,514,628,842,028,421,143,645,607,291,923,606,
057,476,620,290,268,570,201,645,846,011,532,741,882,851,789,330,157,488,162,
733,826,668,939,668,892,329,090,329,663,005,625,774,458,934,942,037,452,213,
718,437,040,494,672,837,321,992,855,792,969,863,903,077,700,418,390,071,691,
354,568,806,823,817,626,190,691,684,109,251,795,761,278,383,199,479,294,979,
825,008,532,774,669,548,292,029,015,426,537,568,282,916,826,729,729,098,101,
138,352,519,953,901,128,180,756,318,803,009,076,708,351,753,601,438,439,599,
415,095,376,029,580,776,286,464,802,292,177,339,868,516,598,341,303,484,163,
987,067,746,637,779,199,019,827,619,705,024,971,926,117,885,878,604,124,971,
770,848,868,840,471,571,283,855,241,563,310,105,833,364,633,820,551,322,795,
600,698,891,393,836,274,604,494,190,077,656,426,995,563,327,169,458,154,568,
018,785,086,747,845,579,116,739,557,388,960,265,445,139,181,851,141,241,560,
882,952,225,398,683,879,633,684,679,123,421,597,802,356,787,763,980,856,984,
158,538,911,229,281,939,801,878,562,490,497,751,585,349,942,882,597,208,385,
470,886,533,084,287,009,996,695,493,863,817,985,685,326,329,383,617,858,901,
064,443,437,309,789,739,299,512,143,135,817,155,097,704,178,598,890,690,014,
070,568,483,879,599,588,943,270,830,150,944,491,642,852,919,349,165,325,916,
528,989,396,592,817,339,684,091,993,859,098,817,512,276,521,889,518,078,535,
843,559,744,155,447,927,786,813,259,725,440,032,433,537,714,598,400,961,230,
497,274,022,964,877,745,446,395,982,970,451,463,239,927,059,296,881,710,309,
926,581,780,249,017,614,355,646,031,676,006,299,381,266,915,811,378,990,118,
192,118,092,518,763,308,517,075,484,025,055,964,443,298,537,639,600,030,731,
893,954,203,237,425,102,593,371,946,207,019,903,240,072,534,409,645,339,411,
943,915,293,441,003,608,600,160,551,789,539,287,592,769,659,046,431,560,565,
392,382,578,024,677,301,445,618,670,169,874,087,639,669,068,835,739,685,254,
983,847,495,248,184,986,618,900,238,260,698,844,527,620,138,512,205,612,590,
344,755,586,480,392,404,591,121,674,298,866,249,502,182,006,210,397,271,634,
468,081,864,666,085,485,231,638,873,855,485,203,452,340,295,062,509,759,933,
005,380,082,959,475,204,826,283,069,277,690,499,943,283,187,082,397,859,701,
366,172,960,317,116,042,565,569,881,325,775,877,542,899,151,014,231,889,747,
704,440,009,921,182,615,424,171,559,001,483,588,203,457,224,470,055,022,989,
966,053,815,932,926,248,335,782,045,313,130,996,815,428,999,246,957,535,255,
225,648,339,617,753,898,661,257,491,236,739,703,418,890,705,487,530,631,931,
823,987,514,559,961,953,830,165,965,630,469,815,253,226,768,793,160,501,720,
688,574,081,662,498,184,135,688,511,834,859,038,972,124,548,872,718,056,842,
507,514,050,372,951,305,959,501,656,293,266,689,461,257,940,506,035,305,468,
747,822,397,888,723,056,247,326,347,857,869,388,591,667,948,030,397,033,688,
656,904,032,583,269,548,086,677,843,988,891,294,304,777,444,665,790,580,401,
086,014,101,421,301,185,529,497,095,338,530,861,774,658,197,013,049,076,329,
168,066,194,236,304,379,365,017,676,463,204,228,867,998,827,437,819,103,406,
431,160,066,813,903,686,689,529,789,169,993,553,154,456,194,119,647,791,593,
823,361,064,113,962,045,260,515,062,906,399,804,130,575,905,295,793,943,007,
238,853,978,703,351,271,348,893,263,546,646,601,895,442,071,183,192,996,957,
021,488,018,647,205,859,149,359,374,403,147,502,661,193,211,797,285,175,362,
350,666,116,312,380,191,996,239,591,154,639,595,870,884,168,393,069,149,518,
333,228,478,183,506,855,512,464,348,500,990,931,987,942,438,665,930,572,421,
360,761,824,214,139,234,575,726,040,200,101,249,798,199,394,777,106,999,924,
427,617,203,237,294,870,638,404,066,881,352,370,334,103,262,745,712,464,297,
124,404,841,855,597,124,591,026,764,931,595,494,486,832,975,823,343,662,780,
723,712,096,770,692,115,308,631,318,500,790,380,099,723,829,971,192,746,171,
348,473,312,919,372,548,953,571,007,878,213,299,091,152,215,385,032,755,599,
295,054,237,970,852,773,308,638,194,049,051,285,913,255,747,213,699,946,565,
285,561,579,192,447,037,633,175,732,981,312,320,180,007,584,674,809,117,353,
731,328,299,715,683,292,539,974,196,980,852,299,905,112,016,522,520,019,400,
840,100,444,983,239,286,748,234,509,114,963,938,863,767,284,787,421,242,740,
317,780,946,796,743,339,958,129,219,778,571,023,850,957,876,754,574,154,873,
745,311,777,216,232,931,457,132,813,840,479,434,754,874,248,096,517,968,145,
285,147,173,062,434,761,165,437,964,275,292,969,484,533,892,147,062,631,302,
105,464,657,423,953,228,968,315,275,130,879,269,962,422,975,621,531,388,464,
097,993,570,226,388,808,999,660,063,313,048,556,802,433,580,275,854,467,489,
080,076,042,704,857,495,272,606,212,991,915,991,394,481,171,143,177,447,068,
360,608,698,589,407,449,225,701,260,034,634,857,160,819,872,379,367,361,301,
380,810,073,610,732,563,778,569,992,400,493,271,213,055,146,092,981,489,823,
028,744,601,764,392,393,678,219,824,239,753,931,853,550,420,664,677,530,342,
986,014,585,360,005,540,887,001,235,859,892,317,493,137,579,260,653,914,246,
994,673,268,656,504,329,421,729,569,763,294,161,666,150,753,702,486,921,986,
309,129,319,226,858,455,413,750,681,432,323,934,828,071,323,315,515,370,542,
955,915,054,877,297,821,382,309,364,763,259,403,218,600,091,976,387,692,995,
812,042,003,588,621,633,470,807,938,453,633,713,523,426,351,949,256,873,974,
048,607,892,682,640,179,540,920,858,361,344,327,161,896,899,949,900,833,235,
635,318,305,134,646,469,824,306,962,604,553,813,335,432,935,554,832,700,535,
037,768,773,315,209,355,853,312,647,119,698,911,109,310,107,126,158,265,038,
001,076,873,262,566,246,342,272,546,879,713,285,346,824,290,062,037,527,804,
998,775,685,333,573,967,222,865,870,178,526,430,548,987,299,135,226,325,017,
712,249,478,904,828,838,350,483,007,956,275,022,356,798,045,276,847,336,748,
941,122,492,064,812,278,484,897,937,065,910,576,140,332,832,009,493,255,480,
456,611,251,851,123,711,585,338,852,367,588,127,064,609,259,871,773,113,179,
856,325,259,954,693,366,498,528,150,292,991,907,976,625,673,318,996,771,778,
555,881,295,269,327,378,620,244,410,284,336,349,633,863,879,489,664,236,029,
881,541,005,715,631,772,943,099,558,762,027,219,215,892,910,190,720,958,143,
459,784,761,145,902,859,191,128,463,375,052,027,075,186,358,399,267,638,669,
894,165,759,340,239,523,238,424,509,724,364,703,222,027,268,892,941,924,914,
670,908,862,634,015,436,171,484,940,722,191,772,118,282,201,074,585,317,168,
995,272,566,980,869,750,328,263,821,159,226,097,939,616,414,249,255,460,154,
365,448,794,930,917,391,859,343,407,161,262,817,059,520,972,043,463,929,638,
567,507,464,408,679,346,633,640,631,925,635,177,358,078,465,088,488,157,164,
092,378,224,001,274,981,591,816,012,524,793,475,792,900,342,621,670,121,848,
369,114,170,199,786,126,143,991,372,363,903,426,024,003,673,949,792,491,526,
385,643,351,890,140,938,358,799,896,551,153,508,314,435,766,368,321,992,892,
744,050,712,747,729,595,707,875,687,578,858,679,709,423,061,635,607,545,600,
879,171,678,148,234,734,127,233,930,330,006,709,924,551,129,282,729,100,595,
678,955,634,998,693,063,568,576,582,552,969,648,797,680,266,850,860,941,856,
186,341,486,580,524,255,354,294,414,577,475,447,727,049,665,830,292,138,717,
100,831,537,445,670,399,112,048,603,904,356,761,014,306,852,178,935,667,440,
508,475,657,429,923,692,606,170,307,026,541,797,626,355,101,055,971,659,796,
739,749,332,394,038,016,605,295,787,054,907,774,662,015,076,116,362,073,317,
030,185,025,409,807,598,435,618,826,991,689,259,485,103,693,281,649,467,247,
004,869,656,670,834,808,542,487,684,671,250,828,310,833,167,052,161,112,204,
332,155,249,487,897,345,756,424,618,685,060,155,026,950,139,935,154,104,156,
355,429,578,375,137,192,185,530,682,399,766,905,955,450,435,969,994,313,305,
910,428,615,222,809,750,452,599,937,685,264,897,661,296,212,883,570,945,518,
752,285,989,220,916,012,465,457,862,294,173,535,208,035,193,124,557,114,306,
407,702,674,639,738,602,666,611,758,148,056,426,672,704,406,815,279,009,683,
700,629,495,015,017,097,991,913,372,089,346,464,501,451,359,630,480,595,557,
483,876,509,867,229,384,896,772,402,897,087,406,138,888,643,603,865,825,966,
589,157,510,998,223,869,538,870,425,454,526,192,212,796,901,146,815,027,427,
032,917,835,141,633,644,613,160,878,849,644,954,140,357,151,287,666,997,040,
216,574,421,892,991,952,377,459,682,221,467,366,909,490,869,456,889,855,757,
556,333,611,969,775,047,114,163,399,919,061,225,086,355,872,766,143,839,919,
851,142,694,718,992,814,788,684,936,650,510,501,077,989,799,348,659,689,455,
724,163,310,285,715,410,518,012,752,345,177,254,778,240,880,655,597,711,872,
230,960,569,782,948,482,280,437,734,315,277,469,692,781,416,131,385,578,484,
468,368,690,893,668,228,158,614,991,113,029,626,595,231,981,136,971,758,083,
581,527,522,460,535,316,081,848,505,959,874,576,792,976,330,386,970,378,294,
901,734,503,767,171,923,938,538,019,946,181,549,088,790,559,477,796,158,586,
527,573,630,451,190,622,519,501,692,269,539,588,867,654,415,484,435,819,770,
097,146,286,720,631,664,193,429,254,984,960,632,873,691,732,552,638,903,675,
695,876,780,641,794,627,833,444,965,190,255,520,732,726,406,884,121,623,167,
090,732,965,396,293,556,427,061,563,354,786,750,121,793,967,977,282,598,759,
514,604,378,990,805,693,412,133,781,791,382,587,975,651,179,061,297,523,167,
563,973,012,824,224,584,297,444,791,164,740,516,862,660,365,736,651,581,865,
158,824,409,517,224,318,016,681,732,362,493,461,136,926,700,853,203,625,649,
770,792,484,923,219,340,712,817,711,962,769,820,135,336,435,580,817,891,200,
024,314,842,312,425,427,865,742,153,989,318,750,322,263,556,557,321,025,626,
188,975,496,375,120,837,849,451,229,959,976,513,902,308,765,328,019,995,380,
415,162,868,537,672,194,789,530,660,888,998,044,878,153,202,729,957,257,315,
619,741,368,860,446,793,103,250,871,937,245,847,314,028,512,570,320,593,922,
997,021,867,248,654,028,689,877,568,978,999,975,972,360,808,002,226,604,718,
491,554,708,129,779,907,004,302,831,673,641,831,095,688,582,185,711,982,667,
858,564,444,008,276,453,770,042,559,266,106,364,776,610,164,326,185,904,718,
269,425,456,482,503,724,188,263,736,031,375,866,836,853,918,028,493,056,120,
736,080,417,858,927,079,577,609,932,902,234,450,149,849,483,256,054,770,071,
088,397,297,130,916,486,801,300,100,150,250,136,762,278,707,475,969,340,431,
762,408,355,715,297,223,758,842,486,070,249,781,127,796,975,035,163,048,143,
895,376,680,268,512,925,738,046,947,691,610,654,082,198,857,813,664,121,731,
650,031,484,356,311,976,351,378,080,617,967,007,431,780,324,028,238,809,184,
267,601,594,374,558,554,320,858,753,197,756,959,748,537,979,910,811,127,270,
110,857,213,856,631,615,132,899,866,452,272,297,179,803,303,504,865,959,356,
587,085,574,291,996,397,044,239,843,205,922,735,487,482,486,066,694,944,043,
643,553,697,238,967,215,685,244,619,688,131,655,822,021,206,143,900,332,219,
928,137,948,499,774,476,364,605,197,827,952,081,694,445,883,843,549,248,970,
604,539,387,091,374,136,188,084,378,486,619,213,790,184,452,156,671,192,485,
131,983,137,751,626,185,576,874,852,593,393,686,055,129,126,053,214,602,520,
136,666,523,062,072,291,856,351,784,400,582,081,916,839,712,000,630,710,466,
890,826,584,245,182,543,836,472,230,389,631,321,887,052,558,640,732,370,283,
734,570,927,563,986,705,671,608,133,113,862,861,606,031,222,203,918,535,430,
425,689,852,062,430,542,308,931,744,703,874,909,905,021,319,309,559,053,614,
101,662,100,103,206,388,342,095,438,236,921,558,180,250,526,551,055,969,243,
860,842,672,037,497,277,766,223,850,240,776,806,171,027,492,284,228,246,694,
742,984,436,581,676,635,307,419,617,902,214,137,168,794,920,993,377,682,807,
803,279,559,042,811,005,639,572,323,695,217,661,025,933,059,140,244,489,341,
532,204,191,733,209,188,863,542,442,029,775,100,445,979,513,437,716,692,078,
933,892,758,493,543,940,923,961,833,399,950,794,146,250,323,860,892,900,062,
753,969,941,347,551,961,166,045,649,100,171,237,907,661,826,136,200,329,774,
062,125,364,065,026,033,414,386,140,708,784,203,356,053,481,672,723,861,966,
810,815,155,932,281,333,207,595,504,113,468,946,981,544,415,335,408,226,472,
094,583,553,235,404,739,976,887,782,953,178,967,587,214,915,919,128,821,980,
779,954,384,344,625,214,405,567,565,017,762,990,378,482,953,052,972,676,143,
147,521,966,728,236,622,371,096,312,069,862,351,528,218,137,205,307,286,505,
663,672,292,109,953,445,636,326,292,650,106,089,988,352,084,421,410,556,267,
742,048,006,003,228,708,577,324,831,299,209,791,230,096,294,447,673,181,616,
424,275,303,730,980,959,657,773,731,290,016,945,141,895,403,446,580,536,665,
048,012,628,006,491,359,604,899,538,740,066,930,254,328,929,214,806,018,026,
364,645,482,025,863,349,357,324,611,976,088,484,755,780,632,996,987,671,379,
928,344,924,952,293,659,575,256,330,502,178,014,612,989,183,718,662,671,538,
136,608,676,348,401,391,781,652,225,220,326,412,892,022,398,287,509,659,256,
367,458,811,117,413,467,044,958,027,912,104,487,879,668,289,836,452,580,379,
380,932,093,989,999,606,503,460,613,421,282,543,915,849,030,608,013,496,515,
989,092,780,840,639,566,074,173,545,612,498,062,551,852,432,803,691,444,069,
425,780,103,469,403,745,994,222,821,552,682,794,722,697,558,504,514,144,580,
443,057,168,158,202,191,878,134,762,950,665,756,989,250,625,958,261,364,371,
061,062,928,880,902,766,312,240,904,529,325,331,543,028,568,575,487,674,217,
964,882,679,394,349,572,170,159,338,346,386,402,035,514,652,244,519,141,525,
313,716,194,214,339,573,017,280,021,520,577,182,463,972,574,717,494,103,967,
160,946,619,339,399,640,857,969,416,193,382,951,940,992,583,940,185,579,754,
947,861,159,082,463,420,778,708,765,181,116,324,814,899,132,381,804,844,703,
232,073,072,093,893,305,568,988,113,436,479,596,830,874,626,321,041,063,793,
878,551,245,270,175,659,682,230,091,100,153,164,669,438,143,444,108,946,592,
175,876,149,725,704,680,319,951,731,059,651,867,336,961,299,026,931,080,238,
026,207,327,485,168,262,613,690,727,792,779,114,837,575,823,417,305,521,981,
479,443,434,215,479,597,135,989,527,174,978,533,066,129,662,199,351,138,427,
493,770,011,415,976,881,806,860,287,086,898,445,367,880,296,325,163,565,703,
788,552,420,732,542,664,175,942,046,804,159,502,775,274,942,698,855,027,587,
665,804,062,353,656,360,628,597,641,752,908,950,832,216,994,157,909,253,572,
703,130,705,681,532,791,111,076,246,855,321,317,243,269,552,621,631,225,180,
328,939,917,576,481,432,829,655,928,392,772,008,956,881,944,803,514,614,621,
915,142,818,767,201,568,212,002,796,568,903,228,915,292,508,496,613,896,635,
593,609,467,593,982,485,827,182,160,059,126,344,284,637,252,751,950,556,505,
574,053,160,666,768,628,193,554,843,230,004,033,314,817,667,861,891,776,322,
349,730,893,445,299,384,029,982,626,719,274,730,993,783,322,595,472,622,881,
427,803,742,337,811,554,253,519,786,395,362,576,665,403,228,793,493,725,822,
385,452,979,719,590,859,873,934,973,893,920,257,164,762,470,964,568,984,368,
085,585,222,344,065,449,209,864,679,863,231,433,566,405,183,829,049,208,625,
789,437,225,715,359,347,043,530,273,769,243,009,707,017,974,210,236,812,686,
641,741,989,253,323,662,028,156,540,791,211,705,961,677,437,439,159,049,869,
894,768,088,600,471,264,012,967,431,549,440,971,701,903,530,431,188,581,032,
653,651,045,024,793,800,776,304,919,185,096,715,574,791,124,127,729,038,410,
468,108,964,912,377,585,152,091,774,746,202,660,381,454,518,271,294,269,468,
921,819,227,001,432,086,362,326,695,974,956,060,975,918,728,575,920,601,940,
148,538,523,418,263,139,376,779,983,252,679,271,793,526,296,822,480,927,190,
011,630,933,092,797,820,796,974,881,517,273,523,317,301,282,620,153,094,011,
715,874,267,936,783,330,703,684,622,837,594,805,414,784,731,270,666,440,551,
316,967,328,113,950,701,643,310,640,735,364,290,722,228,395,747,076,442,234,
166,501,034,935,945,495,345,720,370,942,249,651,171,231,124,885,498,863,043,
360,852,967,126,467,514,367,120,675,728,840,399,976,842,487,490,206,682,085,
566,173,186,370,239,659,353,862,663,227,890,052,916,801,843,139,394,551,532,
609,861,209,090,395,567,169,679,932,299,345,683,464,925,032,917,128,533,780,
164,792,685,421,729,119,036,600,879,033,228,836,806,720,203,394,641,284,043,
679,328,989,889,057,925,101,935,281,916,327,508,481,251,321,342,638,913,714,
713,876,156,685,850,074,104,032,317,111,806,676,343,807,122,668,649,772,591,
805,310,202,169,976,091,231,950,904,677,745,170,458,765,499,496,580,941,501,
096,067,000,413,735,980,014,372,604,987,023,571,325,868,426,785,531,325,556,
080,484,053,827,052,206,686,345,472,176,928,402,696,244,164,075,372,057,941,
310,448,457,186,256,520,027,191,626,017,802,998,452,749,039,920,674,598,504,
955,372,274,330,179,618,419,573,766,457,306,471,338,332,236,180,109,240,461,
356,712,213,522,918,605,144,043,344,876,492,199,440,513,444,759,006,098,106,
941,085,499,586,530,651,508,667,130,270,986,949,680,057,734,639,285,378,205,
958,336,948,828,356,269,582,848,566,093,615,687,068,654,873,460,871,205,413,
145,634,989,642,935,335,784,346,777,213,950,639,222,812,974,377,599,573,951,
332,480,937,234,780,420,878,906,516,648,787,937,046,496,886,869,990,002,969,
311,659,314,683,358,285,036,488,055,077,215,529,503,205,934,042,507,101,662,
537,013,173,414,628,474,481,782,877,557,799,983,315,810,660,393,775,620,172,
168,180,113,441,148,718,752,268,733,296,958,643,189,745,430,706,787,254,643,
132,396,069,970,372,011,062,174,355,093,639,774,027,897,129,099,727,449,648,
755,556,379,840,084,276,624,203,006,863,092,547,559,142,990,025,056,650,935,
737,263,165,807,348,324,850,228,209,327,581,467,308,165,234,471,036,028,732,
768,169,538,529,425,237,692,173,147,461,320,270,043,448,708,832,575,287,938,
373,153,784,371,322,558,813,509,243,497,186,119,849,561,506,712,725,259,258,
239,376,292,649,660,095,562,462,236,255,290,192,233,310,405,181,082,470,524,
748,666,406,692,201,478,670,086,019,394,110,754,344,819,157,988,370,774,184,
803,296,679,122,753,646,725,942,977,089,290,661,686,316,605,800,668,713,188,
331,579,710,145,812,013,114,533,370,144,948,733,066,144,004,441,534,557,791,
988,835,650,035,239,819,145,247,821,594,562,154,873,180,821,460,655,505,660,
623,062,479,604,752,547,222,779,668,806,361,468,305,496,266,073,919,196,956,
288,945,785,053,079,677,806,601,262,429,965,680,449,434,543,307,507,896,367,
577,238,949,792,639,750,006,862,938,452,524,187,610,218,893,624,288,013,946,
891,156,282,773,887,162,936,658,373,319,243,978,259,064,974,833,467,844,105,
629,260,922,827,610,730,951,624,561,397,825,867,483,351,014,699,592,836,907,
031,315,157,514,161,779,464,047,872,435,210,362,376,889,869,119,937,880,383,
718,050,346,738,660,889,558,598,820,156,205,065,511,768,104,032,486,124,277,
504,657,693,387,667,615,691,973,908,786,874,482,143,971,217,696,162,420,587,
683,650,180,107,495,389,627,126,775,323,663,600,475,496,397,371,155,176,251,
248,855,969,904,353,836,452,790,595,518,415,149,463,160,257,948,118,233,760,
227,583,213,627,996,744,257,802,586,537,686,515,229,733,176,293,444,250,792,
803,658,760,915,226,497,529,466,161,560,923,224,134,626,487,374,399,312,723,
116,485,778,095,074,447,886,915,313,052,301,852,187,835,756,691,387,351,111,
435,211,399,313,668,221,465,773,945,545,589,710,657,568,514,100,072,547,863,
559,391,343,952,542,962,601,341,434,444,596,426,135,847,966,074,710,799,126,
917,738,607,619,642,328,291,113,050,282,052,539,690,204,793,410,425,323,893,
341,214,862,662,430,433,029,926,722,580,232,033,884,082,850,583,669,278,646,
270,933,704,057,881,069,534,047,556,440,554,386,621,628,164,164,023,338,575,
140,542,131,461,811,872,854,149,556,996,184,151,657,564,068,957,524,375,275,
017,517,171,880,787,334,556,552,182,270,754,085,405,943,482,599,026,176,527,
212,543,311,736,065,230,984,299,370,360,358,940,009,849,045,917,050,615,941,
371,529,000,781,807,296,849,742,421,473,780,932,959,270,069,102,393,033,480,
001,727,509,818,391,253,277,917,135,682,832,826,697,734,481,090,898,249,653,
943,900,680,489,934,907,289,585,879,192,281,326,337,504,918,522,361,320,869,
088,334,159,793,046,092,785,242,700,523,632,570,690,592,615,515,241,050,135,
551,456,901,426,318,482,011,361,361,678,619,786,275,937,383,337,708,621,203,
491,072,609,819,076,416,883,374,663,104,482,260,039,920,268,935,502,671,383,
452,020,704,046,068,542,098,811,342,452,177,493,481,602,574,855,987,090,266,
872,889,066,274,998,079,120,648,565,193,650,926,051,366,102,324,774,917,710,
382,951,549,182,886,905,308,819,496,087,551,437,503,164,056,102,517,869,439,
749,536,198,463,481,205,299,713,464,355,666,134,385,165,934,073,000,855,196,
493,163,759,825,644,247,512,776,745,677,904,317,246,888,600,839,761,942,225,
376,287,048,568,770,250,534,147,549,235,189,901,368,667,836,876,021,066,026,
334,852,360,585,793,562,688,166,534,070,776,333,152,529,028,880,003,315,172,
074,599,024,680,183,811,052,397,902,207,514,564,975,290,481,815,114,632,104,
447,182,130,290,556,373,016,440,153,690,862,524,606,985,481,969,573,230,569,
551,676,171,815,596,859,670,080,906,992,033,942,259,026,144,992,310,590,452,
833,073,694,968,591,777,962,854,545,220,645,901,921,472,425,807,300,339,991,
236,668,024,029,873,534,204,653,779,890,709,472,083,229,612,281,722,425,372,
265,025,683,162,917,222,080,764,085,213,169,870,254,004,020,799,597,059,143,
939,567,581,330,219,251,558,677,437,276,692,274,788,923,256,128,917,389,647,
891,467,148,919,528,128,677,175,527,873,122,423,022,838,670,472,552,071,075,
974,630,900,954,009,725,949,843,968,126,763,521,936,396,270,647,301,013,280,
119,205,458,818,404,306,571,373,269,332,202,585,940,126,631,148,375,308,022,
039,279,520,009,443,852,542,590,871,397,871,572,088,370,838,492,668,276,359,
130,714,806,531,233,944,230,006,212,511,736,770,780,737,298,847,321,868,914,
569,867,416,984,191,308,674,180,317,841,677,483,784,791,120,429,381,333,228,
090,322,361,758,217,513,823,861,385,297,820,529,508,157,479,895,321,385,702,
380,632,430,905,785,439,589,704,712,979,165,500,893,969,228,279,162,196,983,
089,656,504,530,134,518,648,949,706,431,050,791,005,745,825,143,792,413,629,
104,017,364,037,865,527,264,892,595,546,358,917,133,650,008,936,914,187,830,
056,750,363,189,247,464,694,912,109,516,661,760,978,653,228,860,525,563,160,
603,392,122,732,812,235,013,162,461,373,850,298,565,090,296,068,428,785,873,
776,091,858,000,412,490,430,006,554,440,687,471,355,903,606,681,666,524,053,
982,842,037,234,426,848,890,811,680,122,487,467,876,690,491,238,191,696,388,
566,995,506,060,456,395,470,393,231,728,092,846,477,986,712,342,596,369,373,
147,712,536,483,376,982,123,841,923,356,632,232,211,442,272,576,038,448,092,
484,208,571,111,338,198,647,703,956,472,359,704,164,163,322,170,134,243,041,
900,829,614,179,875,490,464,826,096,746,041,454,278,671,292,770,254,874,841,
245,530,736,220,772,213,380,186,681,270,748,285,803,040,385,847,351,946,996,
086,370,282,183,886,712,645,046,442,422,374,875,812,991,537,371,642,890,642,
996,568,221,103,645,355,703,452,716,273,701,782,505,174,889,410,694,441,040,
901,947,073,266,398,304,717,382,374,896,048,698,040,677,296,312,914,707,894,
226,910,116,986,644,134,467,033,741,614,637,858,730,154,657,607,254,085,084,
966,601,878,011,620,673,918,885,445,269,917,018,959,321,534,748,581,859,444,
180,251,727,828,165,976,888,179,676,032,369,324,806,617,661,429,492,838,821,
874,830,982,535,044,110,052,167,593,707,377,485,743,395,811,721,070,523,603,
378,202,475,771,137,985,146,735,104,742,000,135,202,046,163,059,682,417,869,
973,121,044,826,867,015,955,556,317,016,548,449,900,955,054,982,995,952,752,
456,710,629,233,320,620,934,550,482,291,776,576,805,958,082,494,596,604,450,
642,088,361,733,791,744,286,661,732,253,223,634,466,454,494,833,327,594,913,
937,638,430,954,551,730,033,020,307,370,679,825,539,503,641,419,428,299,790,
704,342,049,646,273,973,213,105,327,054,110,745,372,691,028,295,434,180,246,
202,746,362,826,236,781,178,654,592,132,906,943,899,787,715,803,456,890,235,
281,631,620,818,663,171,499,335,687,368,290,319,786,401,407,523,746,775,773,
413,451,880,489,147,220,840,526,349,860,095,285,461,510,370,485,960,233,331,
965,155,288,154,476,533,565,060,198,048,310,084,166,681,980,864,917,449,840,
023,315,324,702,909,387,186,338,610,424,298,203,331,069,675,023,370,177,611,
692,726,050,594,342,109,627,423,694,192,180,864,620,829,501,172,053,429,002,
016,040,396,781,384,836,058,738,170,551,389,347,970,453,344,841,148,909,914,
568,474,725,570,436,875,056,996,490,788,943,617,846,147,939,418,831,260,733,
304,993,468,107,504,618,528,960,458,496,040,927,992,315,149,976,643,294,594,
547,570,065,101,879,010,593,636,904,799,328,434,365,985,906,738,413,238,054,
682,298,497,980,897,928,083,317,277,027,810,534,988,583,950,718,694,559,186,
519,979,758,825,428,379,900,472,829,342,473,155,477,173,117,627,221,694,369,
588,280,059,749,205,357,215,377,732,780,016,429,867,826,370,988,510,542,305,
909,662,384,525,601,764,823,423,010,293,355,996,344,510,704,661,010,325,117,
483,162,857,392,873,456,665,170,446,573,942,703,441,434,662,798,136,286,635,
414,529,928,445,735,929,263,417,318,392,762,257,982,365,999,816,565,200,821,
171,674,812,896,729,881,461,223,064,885,394,775,286,166,162,111,922,140,319,
806,860,626,496,044,496,524,148,232,686,682,949,912,635,901,814,845,520,007,
511,716,525,227,323,512,157,091,157,513,470,587,626,601,843,108,738,323,249,
347,853,622,837,545,201,158,138,456,351,189,536,147,939,274,669,820,343,651,
703,659,197,309,776,227,526,343,690,126,501,565,189,824,319,665,402,623,860,
410,158,374,610,377,121,082,929,126,283,426,046,182,992,290,967,792,105,006,
775,732,211,137,178,228,976,224,320,514,164,022,335,066,122,386,646,774,000,
839,954,511,898,500,258,227,890,632,899,224,547,393,364,640,773,507,625,115,
999,062,703,402,186,471,161,271,069,414,942,376,329,323,050,405,703,276,372,
777,933,838,570,618,334,653,673,534,935,503,787,529,729,856,629,264,569,241,
538,842,375,785,424,321,296,294,217,077,319,147,539,270,167,247,270,852,602,
636,471,101,229,496,109,935,349,973,533,050,526,784,914,162,046,814,391,266,
229,972,911,031,421,388,025,390,830,696,963,041,772,727,302,546,741,660,813,
325,149,165,966,257,922,576,372,255,444,795,655,128,490,075,071,726,207,727,
001,939,168,325,215,633,074,142,928,347,303,535,806,397,697,474,849,719,415,
700,253,304,999,645,579,230,415,888,381,300,839,062,334,827,277,097,806,140,
098,035,866,412,809,157,128,588,408,192,300,282,447,435,636,600,903,586,400,
530,734,072,109,888,945,073,736,029,092,347,964,994,972,373,620,888,823,603,
401,360,258,956,227,594,019,327,113,413,901,130,511,211,242,783,911,782,793,
195,661,175,969,188,401,007,571,963,764,123,255,739,690,917,959,997,106,784,
547,685,992,641,759,098,886,673,749,698,100,218,453,264,441,553,242,351,996,
954,742,628,876,890,252,330,737,948,272,703,935,037,125,929,976,663,760,456,
077,287,860,045,864,734,462,723,168,538,422,293,204,739,851,270,356,551,445,
587,431,026,730,754,011,020,989,052,573,067,352,947,922,401,149,025,850,571,
702,764,791,787,799,176,804,150,969,641,817,159,006,921,078,620,703,793,302,
756,583,022,329,022,851,601,155,617,304,267,853,203,662,208,081,014,713,763,
308,815,525,474,921,421,679,380,716,832,456,742,998,181,218,530,486,241,893,
651,761,340,518,056,440,604,259,475,468,901,886,198,225,304,226,582,561,642,
282,051,344,869,769,949,398,326,081,457,111,010,003,864,149,237,694,963,465,
111,322,217,466,299,432,979,554,411,549,998,954,062,884,845,118,804,761,576,
780,477,769,446,325,394,275,112,793,714,806,928,927,083,730,516,324,231,928,
465,706,832,956,451,528,683,289,467,977,910,673,110,369,447,755,558,435,789,
933,072,852,898,865,527,188,546,882,692,676,502,141,508,524,928,634,482,975,
269,419,379,591,964,948,866,147,980,938,632,619,509,548,551,656,085,970,618,
789,212,699,007,058,326,507,152,254,974,756,544,758,624,083,607,423,372,090,
845,180,410,491,148,363,417,156,247,945,651,924,898,889,613,921,685,461,708,
939,944,454,474,731,627,065,164,092,303,527,709,281,154,609,148,999,465,883,
475,630,778,320,451,550,667,832,511,099,828,157,875,549,221,889,760,091,707,
893,945,316,826,469,979,686,146,952,060,312,328,528,623,939,123,049,228,144,
610,745,443,106,802,188,888,515,264,779,950,118,721,489,004,555,002,528,241,
512,372,447,593,810,653,133,185,126,104,254,742,945,358,518,652,761,256,819,
862,514,402,123,324,527,083,295,066,595,997,235,683,108,171,759,184,393,624,
990,468,292,415,068,345,608,711,743,888,462,954,998,744,290,060,114,908,283,
072,494,407,768,730,183,969,048,466,720,019,658,885,196,346,420,331,397,430,
095,532,978,583,029,295,904,441,977,902,031,843,106,413,620,820,151,941,028,
291,539,406,738,816,095,521,647,176,609,334,469,371,175,954,368,378,876,014,
739,408,538,473,997,521,795,474,316,735,458,197,367,836,020,925,990,485,585,
052,064,502,678,439,875,129,297,456,298,413,908,560,030,988,695,219,201,731,
843,997,185,882,104,428,444,212,491,582,545,203,425,758,925,257,717,660,809,
744,096,040,912,524,102,960,012,313,667,045,108,528,222,570,372,454,351,250,
850,948,514,316,853,094,808,439,551,808,458,311,592,161,981,613,554,007,493,
225,077,507,209,977,477,310,738,480,217,381,385,953,156,340,862,137,014,824,
323,100,450,467,577,978,875,519,424,517,986,300,950,268,755,138,152,215,985,
997,702,944,232,175,505,131,120,794,407,147,423,691,221,172,146,308,933,621,
368,517,212,367,065,737,387,880,372,470,649,561,821,268,039,586,982,275,565,
201,729,960,405,902,703,789,542,852,188,003,313,937,029,652,355,449,985,380,
617,332,833,637,650,429,395,540,949,231,603,688,577,166,313,617,408,462,007,
189,247,117,697,949,178,785,419,677,182,114,416,943,552,021,254,563,090,964,
676,371,655,481,541,546,374,237,928,295,511,884,051,244,703,537,620,526,931,
926,012,600,759,641,545,069,022,886,175,850,603,550,225,880,789,967,442,540,
291,632,588,226,853,732,786,355,383,181,243,457,427,439,775,842,745,474,982,
052,530,659,754,628,701,147,351,594,261,906,588,343,151,315,325,719,788,394,
588,680,848,965,791,030,712,216,276,382,726,411,254,211,230,409,883,722,155,
853,599,424,294,679,838,374,522,875,100,335,089,989,507,280,879,234,622,872,
667,720,924,903,715,697,656,857,350,048,340,706,171,489,673,685,802,511,740,
412,355,520,538,647,278,850,243,365,653,003,171,115,127,582,792,822,011,702,
649,165,613,504,534,340,760,149,055,876,692,450,493,312,764,807,867,605,014,
119,118,577,387,569,176,286,692,948,107,384,945,389,331,718,378,563,343,276,
729,197,457,029,384,646,237,560,349,311,669,421,241,727,632,015,477,353,470,
340,940,876,464,254,800,743,034,701,572,456,537,923,241,557,496,070,242,438,
117,111,206,438,748,853,074,261,326,293,770,700,339,243,492,837,628,811,742,
409,319,545,234,155,812,204,404,697,092,514,147,794,594,159,819,185,119,838,
662,956,557,119,368,003,758,381,112,007,999,038,622,601,213,440,614,244,181,
333,655,874,662,903,674,223,383,947,640,001,656,815,413,782,116,142,032,330,
801,603,215,404,525,555,902,139,568,232,563,113,223,679,892,284,514,274,096,
315,068,578,226,174,720,537,011,444,448,522,312,732,191,661,258,120,859,131,
879,727,732,850,832,775,377,801,291,369,486,640,954,095,732,874,617,041,687,
766,489,584,827,348,994,936,464,343,356,036,705,735,709,343,655,797,453,734,
645,762,413,728,690,702,283,780,771,842,862,307,041,708,526,463,846,947,190,
627,526,586,262,176,766,606,276,137,154,635,995,876,082,070,681,994,225,557,
078,710,400,887,770,275,583,007,232,676,987,898,240,099,970,710,935,020,228,
834,802,071,426,578,459,568,257,276,405,088,958,016,289,821,987,482,862,316,
096,262,752,410,325,791,628,527,795,131,250,258,227,662,387,554,277,508,559,
498,585,095,770,338,604,898,478,281,393,047,073,260,127,521,906,263,652,153,
755,284,301,619,408,478,147,771,541,699,754,620,550,127,915,352,284,793,388,
966,423,633,569,138,934,926,186,372,538,694,183,570,726,399,861,827,960,537,
121,746,859,232,042,895,268,410,651,198,490,320,754,949,224,425,172,280,168,
717,531,047,161,841,112,962,242,855,321,784,358,557,756,864,244,865,476,219,
249,995,159,640,312,420,689,340,660,010,965,377,723,460,053,776,912,259,688,
387,333,518,840,234,740,911,756,751,057,290,457,140,307,325,290,831,221,986,
599,029,986,586,337,832,470,711,338,059,990,497,920,153,890,839,568,948,161,
659,901,304,976,860,325,032,577,673,937,280,954,680,041,061,170,573,699,385,
061,340,995,250,705,769,678,215,778,053,973,612,753,523,541,578,906,906,739,
633,455,835,947,373,568,571,289,584,863,224,292,379,760,386,997,328,384,951,
625,060,964,840,170,059,326,472,064,847,958,619,625,515,858,615,126,189,086,
959,464,334,540,035,518,181,601,129,445,050,068,723,310,352,222,184,333,002,
638,533,943,923,904,772,662,079,446,523,550,075,359,870,391,503,908,617,662,
631,306,946,377,080,599,904,353,685,124,958,728,145,886,726,704,127,291,086,
252,470,025,772,711,688,667,876,704,788,442,057,815,050,976,465,914,034,950,
754,729,615,568,267,561,608,532,434,255,759,844,422,301,874,898,171,725,259,
212,327,975,128,051,394,675,844,428,009,384,970,265,101,751,452,473,965,655,
307,815,222,484,527,746,401,101,204,533,614,252,327,188,348,235,607,513,738,
120,371,713,064,345,985,644,492,043,816,075,214,377,249,733,843,145,862,680,
845,421,663,973,802,365,017,894,039,997,568,143,642,839,159,721,528,079,582,
004,497,112,825,388,338,180,909,527,851,719,065,967,570,261,513,243,614,961,
959,687,230,745,943,529,735,260,323,524,138,155,712,546,304,420,892,702,228,
785,407,374,557,275,914,123,672,008,577,523,873,780,277,015,559,002,102,758,
994,988,271,010,460,463,138,102,295,209,201,738,681,164,505,676,908,545,382,
592,567,361,151,769,811,109,376,347,213,132,915,905,125,353,747,386,025,843,
297,079,078,467,512,854,191,619,144,738,001,830,450,743,848,523,157,146,174,
922,851,357,769,364,548,608,804,695,709,043,971,223,538,875,441,933,574,892,
467,991,483,507,567,594,124,096,923,083,774,040,154,217,674,958,907,171,890,
529,513,233,048,867,568,646,169,128,900,269,760,573,722,642,260,160,378,853,
404,690,587,504,075,762,971,503,509,903,748,312,074,443,742,041,821,152,473,
459,342,397,678,476,989,005,831,225,487,022,702,228,769,385,034,392,167,641,
711,882,828,817,675,654,376,230,814,275,345,929,240,202,856,855,146,915,961,
047,306,345,767,098,038,689,819,301,069,030,317,132,408,743,486,822,491,775,
577,133,588,880,025,308,157,668,609,080,423,976,287,186,949,785,767,936,720,
417,529,674,756,573,965,991,618,987,091,833,448,073,701,424,834,851,304,726,
346,973,818,573,047,750,856,467,055,919,449,461,839,476,089,132,380,179,918,
366,210,753,872,839,432,607,081,988,817,828,145,166,784,632,361,846,293,415,
690,517,851,916,594,309,641,793,035,402,835,453,023,348,178,745,093,664,917,
530,733,579,185,023,928,142,745,366,127,283,210,188,451,067,541,808,974,435,
077,777,358,033,395,184,967,521,030,409,626,484,463,555,093,415,083,886,448,
326,302,028,136,569,361,678,980,314,989,901,110,033,094,142,997,154,124,924,
471,020,120,118,296,614,267,874,146,832,461,837,583,864,806,539,624,774,340,
258,687,705,285,498,132,601,225,340,243,959,609,587,538,570,768,237,784,319,
679,788,646,157,944,220,891,282,277,779,470,739,915,343,454,573,733,347,824,
672,113,023,731,014,922,142,472,907,373,817,106,950,246,235,282,835,596,816,
849,971,246,300,201,483,121,140,222,240,438,469,188,655,313,381,270,307,836,
120,933,288,505,435,111,677,305,426,967,606,009,827,429,936,535,971,158,795,
418,308,805,687,944,549,528,605,111,831,046,604,963,935,267,379,732,904,614,
068,654,349,661,438,434,937,454,290,596,775,650,673,938,788,882,962,256,149,
916,284,758,457,535,051,078,456,955,923,891,504,292,340,181,101,647,887,366,
613,054,913,929,732,266,026,338,081,617,096,258,429,859,673,872,630,950,513,
659,555,666,117,154,194,755,501,758,062,879,969,113,245,780,114,093,257,171,
812,420,315,254,330,044,039,101,969,504,432,807,562,604,227,842,156,771,926,
987,433,281,269,344,687,655,247,485,449,147,635,473,469,936,424,426,569,907,
390,955,298,797,847,474,640,484,593,678,257,487,764,930,324,506,690,188,215,
562,845,939,294,043,697,650,331,850,072,716,371,580,537,312,426,542,590,777,
515,548,460,109,188,696,472,430,536,224,448,344,714,979,831,828,136,081,360,
181,127,258,914,906,884,009,639,863,287,583,019,083,129,720,514,038,394,444,
089,809,968,375,994,241,940,921,379,529,664,086,151,193,903,346,805,355,779,
657,810,779,038,645,510,195,756,161,608,452,192,099,487,086,370,670,345,741,
955,119,619,193,585,672,412,248,024,580,254,786,632,339,054,614,031,257,921,
658,505,427,350,755,124,863,204,366,127,394,265,983,194,912,042,678,520,802,
368,008,020,110,600,090,919,913,156,357,400,521,488,372,192,458,556,626,515,
717,215,022,860,347,898,044,245,647,301,951,647,449,979,043,850,277,677,331,
991,604,254,715,811,477,952,395,585,440,711,646,967,377,585,006,857,829,356,
457,000,583,552,166,709,045,296,324,457,078,775,910,213,149,774,673,801,983,
513,592,382,935,136,698,001,109,443,782,615,226,836,434,932,603,794,224,995,
908,998,126,791,700,984,697,343,733,120,409,137,962,861,485,298,942,644,489,
364,363,291,080,689,443,799,396,663,393,555,124,798,928,789,595,964,525,330,
476,419,354,069,137,040,252,252,533,183,030,445,118,035,488,949,895,533,943,
364,593,839,304,360,546,640,858,072,381,706,686,479,941,872,443,526,493,755,
122,866,804,807,202,432,815,278,490,206,658,238,205,690,021,617,996,793,649,
553,260,411,857,271,277,617,081,908,622,441,197,871,017,606,419,284,693,628,
984,612,171,006,473,195,935,322,974,929,997,305,358,952,769,865,795,102,310,
511,944,740,638,380,453,046,188,412,921,484,827,053,419,592,454,391,145,123,
632,593,155,018,548,170,446,039,734,500,129,993,589,025,295,143,799,949,972,
948,267,738,720,245,712,865,614,430,781,750,864,916,252,977,947,135,240,166,
957,159,493,188,552,562,513,524,491,364,540,469,809,442,744,408,490,274,600,
688,957,691,496,978,933,956,277,058,404,527,090,098,081,122,856,513,822,805,
623,734,410,518,505,703,397,179,036,406,719,711,239,532,268,786,390,440,595,
864,519,676,132,287,522,271,486,600,408,316,326,971,252,319,434,907,344,686,
540,423,815,488,937,711,565,391,214,600,586,120,605,809,117,587,514,399,458,
624,674,469,235,071,026,296,139,538,197,584,348,402,912,264,407,196,194,287,
595,024,737,932,286,476,770,774,072,671,137,610,564,250,674,725,200,920,059,
556,176,897,403,315,310,472,221,050,841,335,280,768,428,417,732,713,025,174,
793,244,687,128,228,478,408,030,788,368,906,719,994,948,477,083,917,857,682,
398,538,946,083,734,557,570,919,236,389,331,511,267,321,566,418,782,716,884,
636,005,516,604,970,659,691,061,518,424,611,272,411,406,175,179,193,813,812,
356,881,474,115,619,850,223,364,264,863,095,364,539,157,367,461,423,050,418,
425,695,777,228,292,215,655,106,913,681,734,915,385,031,440,419,758,815,922,
121,777,023,988,823,464,024,051,862,558,804,255,493,570,224,495,406,036,705,
763,803,055,633,092,356,793,243,674,509,670,955,676,105,855,671,430,389,812,
348,000,325,296,097,763,474,944,054,493,338,531,969,617,011,562,597,294,471,
762,199,399,020,968,282,322,618,531,542,512,833,840,533,763,758,742,515,339,
255,145,176,246,297,309,853,852,684,958,065,001,557,484,784,660,390,035,094,
596,198,605,419,592,248,559,401,072,177,904,953,361,407,873,312,510,430,275,
474,743,003,653,257,076,471,976,071,684,941,883,526,820,711,361,525,606,628,
234,571,846,714,939,226,246,190,915,854,556,903,677,399,445,151,444,760,642,
252,724,894,472,950,822,338,764,648,753,549,870,032,436,418,271,091,218,661,
475,410,938,577,732,063,527,085,090,402,706,733,241,807,497,513,332,107,087,
412,616,768,377,008,042,343,950,507,533,444,276,472,284,754,319,036,888,349,
894,923,530,278,650,221,622,806,276,938,386,954,500,052,627,671,593,772,092,
203,794,796,055,109,010,639,355,590,263,599,893,719,873,090,176,330,601,198,
052,913,662,936,707,976,895,884,042,229,871,764,462,387,362,475,926,666,892,
884,305,952,038,428,645,776,260,804,288,447,799,435,449,572,005,882,776,948,
257,347,912,235,189,761,036,410,172,240,798,109,699,701,508,202,987,481,538,
702,312,138,884,210,997,520,912,350,343,492,656,691,754,263,627,410,515,696,
680,377,625,710,736,916,915,489,586,800,314,891,522,760,444,442,494,789,486,
250,905,782,128,187,354,797,289,490,817,100,073,760,368,835,219,771,618,014,
800,811,005,343,784,964,215,097,986,654,669,547,899,047,396,812,819,009,698,
021,799,406,758,998,416,460,440,767,945,407,926,770,090,710,434,211,650,271,
893,572,848,086,151,356,420,982,193,723,159,880,544,356,232,661,762,749,097,
526,727,283,528,439,819,596,880,434,600,459,383,371,313,548,864,011,498,953,
847,089,186,993,528,424,908,828,853,287,041,874,210,328,139,619,101,544,533,
051,474,041,254,649,877,601,100,945,806,811,360,015,378,664,562,338,358,658,
003,759,254,879,797,313,721,560,499,499,713,198,978,980,630,628,842,841,212,
119,660,710,455,797,496,508,565,411,112,458,808,406,049,952,507,389,240,295,
141,126,210,577,373,392,212,045,435,739,347,416,735,718,638,007,419,451,962,
854,553,077,828,974,621,091,462,160,120,100,359,735,176,997,901,797,949,280,
961,262,016,705,015,758,054,647,056,900,618,427,650,712,263,611,875,307,581,
717,444,734,724,504,439,075,019,765,276,825,860,682,138,704,572,456,253,390,
534,861,618,811,208,864,748,587,478,715,083,651,112,563,289,681,565,440,609,
874,372,977,389,704,214,983,322,259,330,508,302,539,933,905,028,568,690,894,
221,660,110,975,042,238,189,107,584,243,345,738,028,284,058,566,474,694,543,
808,155,704,861,876,162,903,258,784,820,531,786,777,835,180,394,382,091,601,
697,960,842,200,880,369,643,435,102,063,049,650,837,066,537,351,316,776,650,
645,743,097,123,822,820,523,025,728,399,168,510,195,559,988,101,362,173,337,
922,061,755,699,415,776,824,239,771,083,660,226,612,077,070,457,827,988,463,
055,564,525,009,374,609,841,211,963,344,811,762,195,251,342,977,373,623,403,
651,887,578,682,703,412,663,443,149,651,202,657,900,111,112,570,764,784,874,
448,802,663,843,162,925,398,734,930,618,835,420,829,628,396,155,283,660,781,
762,930,711,031,755,151,380,998,353,545,564,717,203,155,720,299,486,780,546,
766,649,675,800,320,180,592,764,695,742,733,995,224,879,659,724,725,325,319,
770,700,538,595,321,989,051,772,532,360,787,551,869,990,995,424,289,079,868,
858,220,129,281,736,912,103,542,047,151,778,293,675,732,440,011,179,020,640,
482,835,082,607,462,990,097,969,974,585,816,882,241,945,837,093,878,213,928,
045,652,860,367,193,753,178,332,500,727,823,860,400,122,956,049,530,960,305,
680,490,280,979,716,412,435,618,683,421,496,671,923,088,451,506,656,410,625,
426,095,092,225,269,318,059,058,750,190,364,963,419,001,699,560,461,763,273,
172,298,333,077,709,349,292,867,447,367,917,641,940,844,416,994,142,508,835,
276,049,806,834,904,914,336,091,262,549,751,832,069,115,439,616,293,553,620,
663,204,197,327,253,709,824,298,934,243,174,333,884,128,241,622,189,268,983,
121,985,226,658,718,186,459,869,371,979,071,523,927,112,849,454,729,451,061,
641,479,040,459,311,928,331,631,508,780,684,023,785,326,870,750,584,466,086,
314,897,656,543,487,057,243,756,767,224,448,215,039,098,942,631,720,424,128,
335,898,392,033,233,719,170,795,507,693,158,016,874,356,559,934,251,831,384,
468,228,859,566,234,162,041,439,898,928,042,816,478,532,353,014,563,925,971,
454,846,042,175,549,361,878,456,212,166,664,489,289,719,399,883,071,552,461,
019,138,953,850,238,804,615,322,952,122,522,075,236,914,596,159,729,717,795,
771,143,370,387,562,753,810,089,076,585,605,025,539,092,707,680,270,032,593,
136,204,197,711,618,692,713,897,400,712,108,470,627,131,922,784,716,083,025,
781,445,010,024,067,048,194,823,359,268,650,995,709,259,673,094,956,076,915,
861,208,258,007,592,804,752,811,071,934,917,263,872,736,210,570,888,050,853,
022,259,212,929,455,703,143,725,980,948,880,815,450,780,906,917,080,516,859,
675,349,563,549,078,431,859,680,935,294,028,229,920,589,002,942,203,742,792,
802,870,142,374,901,878,163,450,471,805,616,261,751,457,665,444,727,977,800,
017,764,125,478,038,637,171,145,658,494,047,080,525,879,042,435,591,262,737,
806,865,519,623,085,418,903,681,849,602,808,083,304,466,534,726,790,302,880,
818,475,912,303,154,841,996,566,475,121,136,882,435,178,336,901,286,418,837,
463,183,717,755,321,825,691,707,256,423,662,774,204,732,856,660,461,209,901,
721,086,494,836,169,275,246,514,761,392,725,182,482,110,360,525,430,654,935,
061,766,587,777,796,421,699,160,857,426,720,384,919,618,071,881,529,799,920,
012,635,544,551,114,389,648,608,539,909,390,350,339,911,744,485,221,745,981,
572,645,800,334,020,199,812,156,523,469,069,176,218,961,342,304,524,049,603,
665,602,125,405,631,741,047,296,285,732,276,376,106,248,620,486,362,433,484,
033,928,751,771,685,275,873,326,827,341,741,375,051,755,311,913,756,219,715,
169,770,320,627,383,892,445,535,502,269,314,515,081,347,104,150,966,214,792,
009,908,856,387,590,656,662,349,454,603,817,748,382,589,009,414,647,032,899,
055,327,595,094,996,687,392,221,116,091,805,578,594,885,991,625,134,728,027,
720,702,450,223,967,366,979,973,568,026,507,267,982,764,147,397,202,179,950,
663,747,237,322,240,647,917,936,784,304,477,997,732,904,514,750,018,076,305,
212,981,497,165,300,306,259,300,846,826,227,546,791,066,981,464,020,896,275,
984,313,362,503,040,886,298,297,596,739,600,313,813,705,267,323,865,342,509,
730,111,943,190,661,099,110,453,027,982,232,453,632,109,483,781,286,356,751,
976,182,949,191,472,993,388,277,177,996,445,597,460,764,407,427,750,549,475,
205,473,898,198,781,316,964,530,461,262,102,600,935,690,541,532,537,324,128,
953,886,299,931,508,908,051,278,702,355,743,112,344,967,505,411,523,894,026,
686,057,130,327,101,640,792,646,584,051,900,826,861,641,324,120,075,834,653,
407,383,861,484,442,533,472,204,158,480,501,632,336,156,212,326,809,075,028,
260,652,083,043,983,765,750,450,154,891,898,385,495,061,324,348,274,875,477,
568,211,711,239,246,799,999,993,815,229,550,177,885,670,527,946,530,683,794,
987,617,604,913,437,925,037,782,252,504,582,892,120,816,831,455,942,213,616,
147,507,607,837,264,910,567,337,949,870,579,693,185,825,530,704,605,244,235,
544,534,700,394,256,856,025,107,848,020,879,378,286,666,785,661,445,988,334,
404,041,885,546,793,071,038,949,791,324,386,013,366,345,464,270,262,754,374,
131,269,840,571,313,960,234,042,305,783,119,060,699,653,677,486,082,126,672,
287,506,398,688,465,123,976,381,194,195,616,118,389,718,548,087,923,260,256,
767,506,021,062,904,160,997,548,136,034,025,587,603,309,155,912,488,391,597,
498,153,169,062,029,165,381,718,106,935,831,905,450,145,125,560,447,525,583,
805,920,281,521,950,653,795,652,613,860,102,305,627,565,016,758,638,430,058,
665,164,817,814,479,944,161,899,377,127,293,019,744,442,566,783,650,176,641,
764,251,623,632,493,935,953,634,368,578,580,391,299,275,519,634,510,670,687,
794,614,016,902,942,830,235,835,385,708,796,368,112,497,875,350,246,249,411,
249,382,592,170,275,883,890,993,235,262,242,298,603,169,077,482,542,339,188,
880,621,652,840,735,888,180,113,643,152,500,237,299,272,018,234,223,956,498,
044,874,830,918,166,663,805,175,039,323,135,288,726,796,227,808,711,131,029,
996,788,616,826,103,464,087,445,109,964,495,145,626,454,314,641,634,228,644,
995,958,347,707,474,229,538,580,485,536,358,840,687,925,661,749,416,391,227,
439,732,528,535,920,209,263,774,887,968,294,259,867,516,898,865,838,579,254,
954,836,595,306,843,920,676,675,287,203,323,372,003,670,914,021,803,233,769,
858,899,952,705,300,162,790,691,276,049,522,944,007,057,716,827,425,655,371,
237,066,228,515,882,360,051,955,092,873,163,131,119,938,459,513,164,795,350,
631,637,636,192,723,861,681,860,056,916,672,154,233,138,113,612,793,902,681,
474,301,807,704,800,047,266,445,535,561,822,473,646,099,766,707,893,493,697,
685,110,197,964,772,039,801,562,976,451,530,530,807,595,737,931,361,335,722,
436,876,959,524,279,516,634,033,772,435,968,554,465,732,198,115,497,201,928,
607,508,909,387,203,620,041,275,582,357,894,592,574,971,390,352,505,887,417,
748,808,874,130,860,466,875,876,546,932,168,818,690,720,910,831,335,916,017,
884,875,474,143,395,892,828,691,221,711,332,680,608,127,479,292,022,663,211,
782,188,856,366,746,819,872,253,462,051,065,671,169,486,216,815,078,642,904,
300,890,608,992,483,464,142,594,822,847,873,320,978,697,655,467,087,653,419,
467,818,612,942,642,815,934,501,473,259,990,186,643,498,393,956,868,491,993,
085,265,933,966,811,073,626,666,848,705,520,482,398,153,648,424,179,889,297,
716,250,353,043,540,843,924,653,307,852,764,855,512,695,940,206,240,783,955,
087,745,859,350,057,069,649,667,651,744,265,149,484,914,676,969,203,228,655,
528,490,050,202,372,759,999,042,331,989,349,633,791,158,824,489,863,984,377,
204,942,111,670,111,387,514,253,161,312,353,830,965,963,895,075,753,681,008,
057,610,059,139,141,312,959,224,553,648,852,234,072,417,289,749,994,996,110,
544,367,638,772,870,471,969,593,878,089,655,765,761,373,811,865,083,268,978,
999,537,352,066,055,604,001,631,158,540,833,602,691,818,851,785,463,727,258,
228,576,152,564,557,470,262,297,495,708,287,313,213,024,698,899,706,565,295,
227,517,028,096,665,191,647,479,050,047,264,071,981,416,507,111,814,666,465,
099,634,624,020,206,135,411,963,416,620,600,551,294,814,738,783,233,521,521,
898,386,264,245,988,623,819,531,810,635,415,816,977,814,987,772,592,551,092,
905,813,377,960,493,384,292,794,122,508,555,003,276,491,204,965,417,829,437,
338,069,777,304,952,691,499,024,674,180,209,577,910,824,414,358,896,257,717,
278,074,496,455,875,099,236,034,867,539,918,646,744,569,898,156,158,518,005,
420,733,088,483,467,654,421,829,099,366,953,456,160,734,366,531,332,386,834,
103,506,069,742,007,917,705,198,408,660,441,669,015,300,627,233,216,800,755,
081,755,528,915,840,056,891,784,162,978,090,449,331,851,782,276,213,201,522,
226,839,622,783,415,328,333,696,849,434,659,400,846,519,447,268,789,634,773,
092,064,746,604,909,007,666,417,322,253,743,905,000,605,447,220,340,814,484,
662,888,108,441,082,151,036,491,813,069,027,316,209,205,360,330,266,907,436,
067,073,825,159,842,630,781,061,893,909,218,241,591,372,604,936,213,653,797,
429,835,812,381,321,183,901,415,828,130,016,902,044,440,023,342,178,021,236,
912,599,952,233,947,279,235,036,851,461,455,947,065,404,020,530,607,229,168,
255,495,222,206,310,806,107,908,758,163,890,839,154,478,487,778,757,379,245,
858,236,099,837,145,427,804,574,030,503,758,034,991,025,603,551,842,705,198,
033,972,838,828,243,806,060,800,921,661,135,224,080,813,349,695,002,368,149,
532,843,630,069,551,457,994,966,997,455,782,628,854,029,372,616,166,730,703,
083,995,847,976,220,365,124,782,492,869,923,877,423,283,215,385,509,111,803,
874,204,966,772,428,437,707,489,762,097,757,042,260,581,886,887,647,542,640,
524,550,209,986,996,823,601,564,764,304,275,115,462,063,526,905,297,815,028,
858,902,466,019,572,551,374,258,718,245,902,194,864,247,263,524,210,611,598,
864,419,747,352,163,447,081,667,311,529,413,858,287,535,026,098,638,729,560,
311,876,906,616,393,248,748,947,687,935,247,428,148,616,800,783,856,241,222,
461,261,767,474,421,590,383,309,249,217,059,900,789,696,904,590,547,221,456,
133,729,483,437,274,926,958,222,060,295,660,204,540,970,690,996,690,575,705,
525,799,161,109,834,127,846,757,766,133,714,653,486,716,440,454,338,052,361,
154,516,737,384,424,882,745,921,945,585,228,549,638,984,862,363,025,264,503,
062,467,430,682,643,746,318,523,213,239,923,084,260,792,813,215,555,791,110,
579,197,285,762,777,161,128,562,504,123,422,129,529,466,385,720,839,574,047,
875,887,049,809,260,762,062,717,553,218,449,738,527,870,752,014,833,269,167,
497,326,662,795,714,584,582,441,919,323,547,090,461,064,513,926,047,915,142,
272,019,073,653,514,319,270,361,818,543,208,773,278,002,270,650,710,451,554,
153,924,237,774,996,295,811,568,201,075,810,532,285,929,201,462,093,798,778,
151,029,774,972,097,814,940,628,723,271,609,075,835,607,701,036,832,189,408,
139,197,908,238,839,842,070,068,667,374,250,281,195,054,818,759,696,329,539,
868,446,537,744,322,401,027,793,330,382,240,090,386,992,760,602,819,682,323,
969,930,170,935,988,183,666,386,057,886,767,655,488,331,577,122,847,224,267,
917,666,857,575,883,782,148,022,817,132,296,186,421,972,354,193,473,599,135,
521,366,652,203,296,437,794,809,199,309,075,162,934,962,286,139,290,350,178,
089,088,320,557,724,173,711,116,808,560,908,678,109,099,810,915,054,441,065,
755,632,017,935,222,021,040,322,859,073,490,909,914,203,117,944,412,235,819,
535,372,162,311,067,214,222,539,866,683,365,162,795,251,307,061,168,188,513,
152,741,151,647,028,122,781,482,169,864,787,624,515,843,263,042,878,956,416,
503,381,788,048,346,253,468,189,079,423,455,289,238,325,758,646,107,111,310,
906,060,351,110,675,463,172,802,850,360,478,377,618,478,164,611,099,473,479,
177,391,316,056,176,674,334,260,485,527,685,315,073,792,856,768,586,886,089,
898,776,082,961,177,809,593,913,757,624,293,038,549,223,784,653,907,038,085,
084,922,826,931,817,646,250,972,752,231,115,780,918,275,077,530,890,610,722,
093,326,283,659,358,805,959,181,821,325,887,962,250,958,905,030,368,185,715,
061,471,579,975,016,140,898,315,493,631,502,655,776,073,373,627,990,639,899,
650,884,550,813,806,336,021,834,047,521,599,770,690,349,748,735,588,664,764,
551,405,107,736,382,125,494,429,943,228,773,763,657,589,163,418,980,769,512,
256,209,695,026,924,133,558,958,290,083,972,735,471,172,905,289,777,336,875,
866,008,352,715,386,626,647,702,698,799,528,268,189,823,194,786,630,139,516,
188,861,301,400,111,566,445,180,522,547,957,834,269,712,700,152,977,749,550,
231,200,450,528,223,271,325,329,383,459,047,403,781,444,911,292,917,591,851,
531,076,052,364,879,987,354,345,806,664,151,456,718,339,659,418,902,875,954,
388,759,444,928,447,044,796,141,512,547,832,645,119,608,369,532,498,819,290,
998,219,130,453,707,602,078,364,486,299,774,292,902,740,381,300,103,975,483,
325,722,322,982,823,429,254,410,763,458,817,769,727,481,561,160,483,217,579,
541,615,589,469,427,575,038,655,601,805,144,418,746,973,052,755,870,704,967,
500,384,497,330,774,901,460,175,913,901,859,920,572,469,194,200,060,281,474,
375,129,766,933,450,156,666,477,061,654,811,675,388,071,996,827,355,617,551,
072,684,175,019,767,243,473,222,073,632,715,035,104,329,664,643,474,895,518,
633,982,538,237,578,452,353,865,545,241,475,570,461,477,253,645,406,253,148,
379,032,201,453,823,885,461,382,863,889,338,559,291,981,012,889,788,406,427,
958,780,779,385,070,196,866,702,515,131,731,412,455,353,394,562,390,699,138,
643,211,425,200,894,314,837,092,291,775,234,173,436,680,820,478,832,076,799,
242,006,087,951,244,918,039,199,324,830,457,729,695,296,621,243,452,846,354,
143,890,063,095,358,145,340,300,326,385,275,694,892,234,248,613,882,856,431,
962,351,526,792,282,470,203,323,919,631,405,218,966,936,373,470,300,632,490,
551,323,055,080,271,588,122,553,494,438,219,034,219,595,157,075,314,844,246,
150,766,103,501,083,549,422,059,250,843,806,276,816,151,511,366,052,105,865,
417,827,982,313,737,466,173,637,159,064,618,161,954,595,732,757,693,598,638,
204,551,207,775,392,184,077,925,625,221,035,386,828,077,032,660,094,200,242,
930,717,794,834,591,633,698,488,603,967,825,181,992,093,039,660,616,707,598,
350,225,286,037,763,122,869,553,405,251,713,689,442,158,027,821,824,919,326,
584,694,306,716,771,727,251,248,945,509,520,607,190,762,292,085,338,251,659,
837,327,146,482,400,565,443,928,633,301,508,875,940,623,315,225,521,931,861,
689,663,819,203,686,324,407,436,370,470,063,442,148,613,780,509,700,181,225,
233,387,424,371,230,397,075,984,851,287,274,604,673,236,663,997,921,635,535,
691,982,018,998,443,810,014,070,491,537,120,128,962,953,825,600,857,977,876,
441,732,857,591,414,422,057,551,182,901,054,537,333,491,136,272,555,579,962,
418,859,986,951,459,475,336,878,215,723,914,918,547,152,878,042,304,116,665,
796,275,602,576,983,406,660,082,684,417,185,810,618,453,521,542,035,763,585,
187,986,623,003,908,764,255,303,899,710,527,073,648,725,935,266,180,094,547,
527,955,778,582,839,658,329,174,795,647,183,380,595,720,609,651,761,508,579,
973,022,110,946,508,583,434,688,267,568,018,081,901,167,710,214,737,898,138,
918,475,009,689,541,455,953,726,785,911,940,177,167,563,173,871,577,184,852,
640,675,361,163,263,573,316,972,573,536,360,018,550,964,553,468,974,201,418,
577,395,396,383,947,828,138,135,796,713,387,788,467,046,078,768,481,656,399,
214,281,297,707,171,216,484,000,923,795,508,780,702,337,947,194,479,922,174,
176,233,772,530,553,844,042,911,546,832,836,838,818,934,484,028,328,205,349,
016,125,441,484,698,109,833,728,377,790,280,669,784,380,282,040,743,493,071,
235,636,517,174,274,223,640,824,054,585,577,534,872,684,182,937,792,451,186,
887,405,313,735,081,338,138,696,438,731,968,273,569,494,719,972,700,026,919,
465,490,898,693,081,497,484,566,299,048,291,536,303,037,294,145,811,863,379,
957,408,893,117,473,783,024,313,065,994,852,351,274,055,788,374,991,552,534,
724,369,948,923,494,451,470,346,719,225,150,662,896,366,239,288,373,596,850,
527,661,260,128,128,621,355,620,580,284,042,586,453,115,247,912,571,387,671,
775,618,325,614,627,957,110,898,059,418,404,443,103,894,997,025,790,575,129,
811,513,166,218,074,942,941,206,227,418,409,415,250,821,700,468,994,488,603,
964,189,109,137,397,767,402,627,763,529,001,723,086,683,032,299,072,449,228,
032,348,741,476,476,872,051,023,157,211,329,838,470,788,079,499,502,564,069,
200,385,346,607,087,454,799,093,708,768,697,114,853,342,496,382,926,095,415,
185,105,398,190,592,439,776,753,854,405,843,205,796,149,046,735,411,133,737,
897,360,751,775,197,678,485,502,237,084,843,509,125,256,948,809,871,741,826,
906,173,512,124,498,953,859,221,620,487,754,672,286,618,466,870,065,165,020,
298,086,031,592,982,889,478,604,031,035,120,715,778,146,243,462,023,645,550,
257,160,789,786,819,212,083,689,224,625,134,388,277,790,595,064,348,399,803,
729,602,316,190,728,929,260,889,935,812,355,788,034,767,655,278,257,512,350,
550,186,714,738,157,255,608,491,228,111,082,126,437,454,964,243,437,035,005,
004,338,160,138,505,907,626,658,190,729,293,839,796,830,231,810,807,291,197,
455,155,457,698,507,879,518,936,169,407,008,433,948,746,162,004,527,499,279,
825,925,215,455,683,131,307,016,856,400,560,855,035,733,498,883,577,474,266,
218,297,538,994,566,920,426,254,502,810,472,329,405,554,397,302,790,943,347,
442,679,526,360,030,047,495,660,994,935,277,289,881,887,554,223,266,495,306,
478,896,448,807,152,213,219,759,261,679,351,116,506,968,776,258,972,628,262,
384,764,072,837,965,567,951,441,860,202,768,313,865,062,294,466,331,648,583,
831,582,857,357,812,634,114,902,837,809,668,364,467,686,190,852,815,285,068,
187,380,666,774,956,219,378,459,731,123,174,132,918,561,825,846,463,995,813,
048,962,722,022,550,031,535,476,747,694,225,340,895,328,488,553,396,063,778,
621,966,212,871,821,971,004,091,804,978,188,261,371,570,918,971,470,040,871,
767,105,577,751,597,231,151,119,994,428,766,432,988,350,099,653,582,757,121,
572,445,904,483,467,965,788,371,574,952,099,948,378,443,238,276,350,437,510,
048,129,864,596,893,143,612,912,427,572,751,293,216,218,237,486,244,567,965,
725,085,598,713,543,543,294,640,232,501,459,435,633,386,234,316,095,520,930,
039,048,465,385,015,507,393,044,314,051,212,819,837,159,790,223,110,695,106,
088,241,296,629,132,999,047,554,339,513,458,624,507,451,186,161,292,859,369,
068,992,608,582,681,893,270,926,630,696,907,304,305,871,726,263,866,866,104,
676,060,251,496,917,640,498,026,987,096,031,792,264,674,021,974,315,334,151,
929,793,226,548,739,066,719,461,380,842,350,084,327,557,714,842,473,559,176,
663,880,397,666,079,242,602,415,034,130,948,108,981,382,349,130,969,401,328,
672,032,898,574,741,775,543,935,150,908,365,455,026,248,480,068,216,959,752,
575,140,702,902,235,482,068,359,977,678,141,660,173,480,663,203,030,328,380,
554,405,140,066,238,505,318,024,981,861,254,121,953,665,279,069,454,688,836,
429,600,488,844,090,151,339,769,491,364,163,259,428,559,784,711,950,359,738,
856,746,578,375,917,825,808,610,816,186,832,771,693,532,797,768,149,916,775,
200,817,036,421,869,100,813,181,605,273,851,152,840,385,310,422,018,999,351,
775,559,231,239,854,691,310,361,859,567,544,408,613,242,530,297,296,227,159,
360,898,206,281,210,197,526,126,066,077,725,955,192,402,843,891,419,242,484,
199,648,005,776,899,121,214,835,001,479,944,355,550,403,952,592,341,554,046,
207,805,405,637,747,027,376,072,847,955,858,975,946,375,902,850,517,698,625,
656,453,316,924,673,045,508,833,001,208,393,949,328,844,215,699,939,479,341,
025,038,017,013,006,969,146,304,459,042,525,209,912,325,809,749,550,929,724,
854,960,225,543,749,994,258,008,522,612,878,717,681,220,874,029,460,898,450,
228,033,297,800,024,006,196,438,511,047,168,646,215,004,078,481,729,474,666,
894,533,909,615,657,957,226,406,727,975,352,592,754,144,456,565,909,398,918,
021,365,619,497,941,622,408,277,750,242,974,946,684,594,660,686,761,813,126,
675,460,392,885,168,689,448,461,959,014,886,264,161,778,860,962,361,940,115,
634,340,681,598,882,320,753,132,239,063,280,958,663,278,544,648,532,972,424,
006,136,134,946,188,492,025,540,187,562,600,582,183,195,633,808,191,118,656,
943,754,337,166,735,212,977,274,777,845,751,672,912,537,713,986,233,729,610,
332,002,430,287,345,097,809,051,503,598,345,370,565,243,282,203,883,368,023,
741,869,222,957,870,902,035,495,677,370,784,604,366,150,551,454,650,710,895,
677,118,056,639,471,676,838,188,409,894,855,480,234,097,062,229,409,341,520,
817,064,557,970,168,259,350,936,339,837,974,226,832,980,301,013,993,159,476,
083,935,149,247,779,653,910,878,798,957,043,889,145,605,063,356,051,390,780,
033,367,465,601,658,529,251,852,972,398,500,297,520,705,811,331,112,627,395,
030,611,471,863,124,898,733,051,545,138,262,260,663,722,687,474,610,616,878,
748,839,611,434,941,807,603,359,832,189,811,090,152,907,670,877,320,808,153,
034,897,056,098,442,039,876,090,304,796,361,896,597,771,960,132,820,816,279,
774,924,526,291,568,884,076,838,846,747,777,371,328,304,420,333,342,448,986,
069,451,355,517,991,013,018,397,322,400,281,729,260,417,475,158,050,842,826,
142,982,320,777,677,312,375,941,701,963,417,602,282,596,744,737,824,459,605,
664,573,347,708,798,414,638,920,746,975,156,584,293,754,283,891,200,257,854,
065,469,058,974,598,735,762,224,525,111,554,171,689,638,110,959,972,088,484,
222,018,941,365,679,236,389,675,991,549,861,256,124,580,653,839,955,554,737,
924,130,050,645,507,498,146,335,957,985,521,132,647,174,125,679,206,244,267,
532,715,988,871,285,316,108,227,822,524,281,094,814,037,629,179,230,320,170,
087,141,078,373,162,732,237,889,316,021,461,713,257,621,878,669,849,938,731,
281,165,925,509,352,668,348,568,903,541,946,671,074,312,762,387,593,611,071,
712,858,097,738,808,262,233,003,264,038,078,984,239,979,740,618,221,377,086,
224,971,927,817,835,740,422,178,248,685,049,920,823,250,916,104,907,444,334,
633,234,588,441,064,465,297,282,216,673,681,087,654,121,362,727,116,878,717,
857,484,757,086,145,299,252,038,112,002,618,530,545,819,220,319,181,790,705,
742,538,518,086,874,720,028,229,949,230,222,037,791,916,576,601,890,572,204,
346,433,241,100,430,304,573,042,288,283,757,118,343,986,472,205,374,749,887,
844,424,880,720,339,500,310,317,117,171,877,897,406,499,376,124,086,927,929,
629,526,581,750,563,046,860,479,321,843,376,995,206,279,685,311,985,596,817,
297,340,988,362,588,788,339,803,308,273,418,124,701,069,667,084,461,208,898,
303,637,448,166,068,907,258,092,397,864,654,196,146,960,550,760,682,534,863,
512,841,531,411,490,062,506,004,842,722,837,677,612,471,664,330,558,080,631,
304,494,919,318,001,594,102,603,563,090,075,548,391,702,364,093,128,563,449,
894,546,749,427,905,536,957,538,471,870,219,125,032,594,554,063,731,237,093,
190,620,015,650,040,220,899,504,960,342,939,580,079,569,467,284,558,173,401,
222,584,883,042,592,583,670,199,240,198,914,578,414,558,861,458,180,810,087,
250,151,300,245,032,266,885,636,671,053,502,029,795,622,194,501,728,657,180,
948,224,896,382,742,553,979,172,256,023,981,000,662,596,519,378,862,785,433,
299,369,387,759,044,615,290,522,492,394,842,394,877,023,869,152,450,061,329,
263,681,564,357,885,409,075,893,190,551,143,498,503,114,800,265,296,659,714,
484,718,344,334,836,574,238,117,571,662,389,483,462,214,659,893,140,594,038,
226,221,059,035,555,418,817,523,604,539,711,946,963,987,566,893,128,394,527,
925,382,047,389,684,174,912,432,678,171,337,354,055,640,361,015,051,916,513,
180,967,944,080,507,263,056,338,198,893,658,693,968,248,763,333,912,123,103,
208,658,595,848,994,637,997,195,392,728,249,392,340,871,502,962,827,432,492,
870,088,510,010,500,444,625,475,384,685,857,864,525,838,321,151,904,857,129,
682,075,613,228,813,659,735,867,926,806,014,600,251,959,052,888,485,275,996,
762,758,861,674,293,883,668,407,598,105,455,209,295,784,048,147,648,602,130,
384,583,582,625,285,723,914,645,612,826,875,506,558,589,206,131,444,279,618,
913,453,317,896,877,662,733,341,552,619,495,600,710,653,710,844,267,604,920,
817,017,156,767,722,185,792,924,406,860,533,188,538,616,759,578,615,560,786,
722,885,880,123,149,220,399,972,959,429,054,241,000,485,386,072,906,085,347,
383,504,250,005,665,996,702,323,702,319,399,799,025,876,833,392,491,018,819,
907,933,584,665,997,179,461,945,393,567,487,567,869,620,118,864,101,621,409,
127,598,865,832,909,513,651,390,014,897,611,345,087,944,495,023,358,556,759,
201,379,977,562,376,104,470,560,987,551,827,101,531,419,695,598,149,773,050,
386,266,404,132,004,129,022,130,587,698,727,616,732,149,957,453,500,274,312,
519,832,391,352,375,366,869,020,698,153,747,150,983,538,607,275,291,761,431,
785,938,070,164,935,068,287,725,807,403,805,545,384,826,725,465,920,694,407,
686,762,308,954,161,866,713,500,738,946,966,117,567,110,643,684,577,030,877,
593,056,308,828,421,142,511,343,799,228,189,295,077,263,883,620,801,385,515,
058,646,565,643,288,663,542,879,941,697,073,779,699,185,476,827,551,805,440,
199,133,349,859,649,055,993,035,910,218,586,086,647,074,966,908,031,249,594,
111,672,806,647,216,158,469,363,167,071,880,431,659,982,253,620,125,780,325,
410,419,365,022,599,785,178,751,018,638,721,788,852,559,687,851,695,754,945,
279,706,288,335,055,709,167,685,296,062,907,311,702,490,130,895,927,390,048,
420,390,502,160,990,208,025,975,307,586,995,567,667,548,738,979,264,447,255,
630,003,040,375,098,736,229,438,996,945,472,760,346,406,898,393,512,183,262,
008,881,898,766,221,050,259,016,800,995,949,740,557,049,821,279,176,991,952,
361,112,369,829,147,784,271,033,573,757,231,697,628,619,604,910,091,432,076,
231,532,070,815,191,763,278,217,611,202,737,812,440,338,759,744,222,432,334,
950,705,073,710,814,226,654,482,921,651,800,811,270,288,447,536,441,635,126,
464,547,923,531,966,655,668,664,849,604,989,055,495,890,437,224,559,268,972,
475,773,099,374,210,035,032,882,674,848,761,960,676,597,028,401,680,235,550,
790,797,495,095,515,727,975,815,783,248,495,314,442,470,373,285,313,099,067,
118,520,730,117,850,543,845,245,432,549,913,987,878,943,373,876,766,158,561,
929,142,017,578,357,237,245,176,046,219,003,962,990,215,767,396,690,997,494,
833,341,846,020,322,840,012,387,485,854,667,010,406,684,871,284,138,160,537,
197,467,522,818,789,055,304,004,953,506,086,434,821,049,201,885,083,164,129,
466,723,827,964,118,667,486,443,588,861,783,153,865,587,690,485,236,359,849,
875,873,013,328,936,957,058,300,132,192,120,455,090,165,360,574,241,113,349,
719,279,859,119,706,823,709,806,285,722,997,355,770,337,684,231,284,433,898,
982,671,018,505,290,454,423,826,526,072,462,835,577,424,535,226,225,286,427,
468,678,110,776,508,725,690,734,974,799,388,409,399,312,537,154,664,928,695,
716,382,601,472,207,157,537,998,926,431,083,385,658,643,110,951,587,932,387,
517,848,049,393,555,351,069,509,816,763,284,513,440,201,448,649,164,457,176,
982,588,698,653,396,754,126,844,411,149,834,262,693,239,046,483,693,249,808,
677,288,096,586,334,838,774,748,505,761,278,235,109,220,914,113,298,749,108,
149,428,275,776,029,221,459,933,845,222,899,154,938,629,355,200,044,996,912,
787,520,043,522,803,277,721,011,565,463,760,643,442,247,287,195,295,674,829,
634,272,018,127,677,947,809,180,732,133,673,806,027,706,864,904,693,870,530,
044,845,685,988,448,880,263,764,629,310,740,339,985,783,658,312,853,104,607,
310,276,062,393,772,674,223,377,725,166,820,530,167,487,788,090,081,330,530,
227,101,601,343,238,197,408,214,781,816,030,731,976,001,073,851,889,012,205,
999,230,813,927,057,130,073,452,155,669,972,055,450,186,666,692,973,142,836,
823,123,299,650,050,769,128,428,278,925,093,253,690,405,744,586,785,120,098,
513,570,045,036,582,376,679,219,548,802,447,964,391,309,712,476,381,429,687,
762,309,376,127,473,362,269,160,970,653,035,958,311,541,666,101,381,363,208,
935,679,333,692,952,394,442,284,404,926,176,808,039,943,970,089,645,777,513,
243,851,463,579,827,878,351,483,671,341,487,245,944,935,923,527,418,147,592,
998,454,804,810,966,377,302,504,916,557,122,131,802,051,927,486,559,310,619,
828,638,820,088,521,802,930,995,910,658,442,455,104,163,600,429,947,338,744,
593,809,720,244,980,856,922,144,067,999,469,525,171,254,101,811,257,070,418,
650,404,454,377,200,226,434,163,100,162,420,819,738,530,352,989,877,895,533,
011,935,862,520,340,253,606,458,912,418,354,026,814,425,155,972,146,357,773,
951,824,552,879,082,397,209,158,977,903,636,254,284,528,260,170,155,265,183,
453,540,224,258,393,343,917,024,037,484,788,116,608,800,220,661,941,182,745,
374,520,614,240,313,449,492,302,201,880,874,731,341,885,340,650,695,522,293,
734,903,995,588,929,213,149,352,032,966,213,202,000,922,546,968,453,924,702,
341,493,745,207,355,488,736,604,178,042,744,812,853,343,342,634,499,173,132,
157,367,128,348,549,284,000,311,226,710,662,345,291,227,240,540,293,138,761,
139,357,622,792,912,266,688,108,124,292,790,277,218,381,611,402,911,926,146,
968,812,119,545,767,083,388,271,384,434,018,525,415,569,504,439,649,321,678,
765,703,409,266,368,790,700,603,754,277,798,307,139,851,551,822,225,900,843,
882,288,627,486,046,183,672,389,332,759,240,288,810,619,041,448,271,800,328,
797,630,371,190,435,886,484,733,545,957,984,146,952,268,040,460,843,354,754,
505,150,702,199,260,787,744,432,895,159,772,883,061,908,447,270,001,451,388,
112,450,543,107,467,616,048,005,431,022,224,247,755,757,540,147,862,267,948,
862,841,862,669,709,272,167,719,487,606,579,443,838,824,647,271,962,751,579,
009,818,470,624,560,499,163,084,370,901,783,687,035,782,632,425,177,003,731,
558,382,206,018,141,015,626,305,350,830,805,614,059,695,557,968,242,868,905,
202,479,286,849,244,274,606,700,795,586,641,381,906,069,988,440,909,526,041,
818,287,879,649,725,397,190,803,680,358,263,084,010,162,432,654,445,386,394,
056,132,710,799,744,093,594,310,799,125,616,193,940,681,165,116,179,229,334,
992,594,139,786,643,876,654,241,652,093,682,802,688,618,468,548,006,977,123,
190,182,043,027,408,830,863,867,518,154,257,649,111,476,362,079,224,862,803,
169,293,698,946,781,469,173,039,290,441,275,950,470,793,017,641,082,011,471,
926,483,536,632,197,176,787,414,321,169,697,159,081,300,167,702,230,499,311,
111,472,065,705,367,430,885,528,061,785,092,389,652,444,506,014,252,502,803,
215,836,295,676,153,368,030,953,340,501,312,018,675,750,400,411,152,208,231,
471,386,349,028,608,694,331,678,778,190,844,433,276,827,899,831,776,497,031,
077,071,011,293,330,830,822,556,485,943,754,026,585,531,235,047,323,074,512,
552,147,568,719,379,059,742,813,277,342,930,508,110,466,803,068,384,182,798,
828,673,791,093,884,090,481,094,131,478,921,463,285,877,020,495,771,634,361,
597,187,124,487,975,790,769,101,789,386,331,129,454,767,391,228,083,176,487,
750,845,949,358,809,525,441,304,406,212,887,095,041,896,423,153,267,567,347,
791,065,827,508,065,204,990,982,596,860,499,466,098,585,284,750,824,587,546,
875,867,017,287,521,754,714,123,889,150,635,965,278,334,100,128,055,778,256,
454,637,461,479,733,788,115,035,313,979,386,879,147,665,916,520,603,006,571,
808,319,535,871,269,831,297,897,039,226,884,214,106,598,780,113,105,052,814,
585,320,112,381,192,206,412,772,597,187,503,211,775,492,860,032,093,080,118,
706,015,702,953,766,175,954,602,400,979,804,726,624,457,006,201,605,819,112,
822,656,878,056,859,781,233,861,028,175,152,992,498,776,465,680,682,824,359,
621,061,412,324,850,998,166,252,865,850,173,988,879,214,196,727,313,459,615,
613,353,436,357,035,300,542,310,951,290,338,890,704,442,171,785,305,638,057,
633,100,724,562,671,434,284,456,558,774,893,145,741,493,548,138,212,022,243,
707,260,523,246,772,808,738,748,427,051,145,615,334,404,897,385,828,258,489,
728,573,426,784,222,379,842,970,845,109,918,629,300,154,845,883,675,342,825,
399,231,046,055,343,300,773,443,135,450,138,817,239,169,197,112,723,919,072,
638,277,211,151,710,013,191,716,331,132,834,290,739,303,524,024,215,012,905,
761,904,255,401,238,251,917,677,657,998,352,323,734,090,696,016,398,827,120,
992,423,877,664,326,023,741,263,988,897,375,346,533,585,486,346,481,059,280,
257,377,356,099,408,487,656,678,076,384,924,308,425,704,575,663,456,019,612,
253,105,183,777,683,917,256,701,124,040,097,431,307,583,194,471,646,851,549,
041,548,666,843,992,659,248,107,141,280,699,228,571,663,845,565,724,726,551,
288,254,545,139,118,947,564,493,733,274,556,414,818,945,933,032,586,641,326,
641,362,822,904,771,776,963,727,000,495,890,952,000,546,561,200,981,481,806,
021,504,520,721,809,510,144,699,296,638,705,795,140,158,845,257,717,413,315,
217,178,591,499,705,465,404,865,758,464,889,792,127,400,480,592,261,481,531,
698,490,721,898,157,505,599,311,611,775,936,364,236,398,807,522,870,395,988,
168,414,530,520,845,065,411,998,768,953,186,885,072,381,470,267,694,672,941,
004,732,238,519,083,195,786,929,703,692,986,263,964,216,100,698,796,464,853,
317,267,902,876,313,990,550,698,244,506,232,852,770,874,350,848,015,226,909,
632,974,311,589,347,744,339,917,232,854,599,252,034,899,271,112,210,519,709,
840,592,003,203,630,269,517,739,795,907,038,767,884,186,335,703,117,632,151,
414,559,114,802,525,057,551,823,256,306,727,814,093,184,016,629,718,115,988,
237,396,050,090,756,535,919,102,357,414,379,369,120,673,490,317,571,608,301,
816,339,383,112,670,230,425,251,971,086,853,631,711,085,153,253,605,196,519,
245,947,638,159,039,038,771,631,531,447,328,456,884,271,806,584,999,564,402,
985,983,798,511,493,683,520,387,692,717,415,299,066,806,834,900,098,617,897,
892,176,945,216,661,430,748,397,908,494,090,852,518,719,553,270,470,516,071,
585,944,998,358,100,204,302,970,755,578,673,695,392,233,804,905,103,392,216,
137,993,713,430,920,379,694,186,456,007,094,646,753,431,746,013,975,165,576,
971,225,075,817,418,657,927,828,408,227,950,011,975,428,879,393,326,969,083,
375,937,525,346,639,750,211,887,949,713,524,588,682,998,467,818,209,856,015,
708,281,286,115,126,200,815,095,146,078,444,320,462,817,750,342,962,408,336,
067,343,665,793,580,133,009,257,527,224,040,271,137,784,684,578,870,697,265,
875,176,580,321,689,928,239,276,900,316,639,461,181,978,518,177,688,459,905,
941,413,713,362,757,857,398,427,167,271,711,919,378,464,746,310,715,778,538,
475,557,412,499,295,548,858,317,277,462,529,516,990,824,814,315,516,909,512,
980,975,244,763,966,678,726,921,990,343,513,855,547,416,441,147,943,864,705,
776,921,775,467,253,646,479,145,193,324,583,249,113,408,364,545,346,362,404,
910,481,022,516,272,448,843,836,666,130,484,072,246,040,148,239,750,161,218,
987,057,421,183,180,796,813,172,913,589,198,984,006,659,877,790,652,998,906,
559,818,697,549,624,200,769,362,627,595,039,065,203,496,345,909,096,153,104,
754,139,587,456,193,476,899,846,881,801,794,683,344,391,899,512,191,104,661,
171,863,027,245,127,463,124,917,219,514,096,295,866,803,796,764,502,188,864,
688,085,322,939,611,912,610,419,094,485,448,016,837,457,642,132,707,166,454,
140,989,060,283,119,843,046,558,097,814,740,199,144,528,047,298,968,260,077,
464,416,267,391,529,211,377,769,929,856,933,260,311,621,294,132,335,010,219,
408,906,069,993,974,081,859,412,985,064,307,388,620,465,196,514,058,418,430,
445,414,762,078,919,103,554,032,583,425,241,632,253,918,935,942,105,146,230,
920,591,371,995,667,940,348,560,202,561,874,516,245,646,231,545,566,731,449,
356,278,897,239,679,555,686,027,766,807,904,995,034,184,039,121,340,262,359,
000,827,492,339,281,416,062,139,782,342,083,006,642,593,532,327,951,918,682,
391,042,654,105,556,769,339,463,174,924,881,953,797,024,407,265,152,462,196,
785,407,686,067,067,869,416,860,491,658,295,711,558,923,544,596,246,233,654,
859,526,416,581,815,106,398,397,554,045,781,314,020,177,972,526,222,946,000,
360,347,625,354,336,291,749,774,547,937,221,362,581,029,730,387,880,910,570,
102,410,415,528,093,489,169,172,221,552,434,570,943,007,128,844,838,312,739,
092,635,931,627,127,090,147,779,389,807,626,687,015,866,188,306,349,841,445,
530,724,985,333,932,065,541,124,304,450,702,734,200,062,143,659,459,430,970,
060,844,424,497,247,293,263,957,827,702,723,315,896,285,707,938,943,449,046,
325,698,770,781,261,022,200,140,469,562,905,409,146,787,150,069,952,832,047,
780,690,667,820,895,777,746,830,683,661,786,261,739,098,043,360,751,866,667,
579,802,426,484,162,235,718,404,414,406,257,990,255,536,137,544,398,866,780,
277,778,313,833,894,323,446,264,092,071,314,166,874,024,342,978,877,272,320,
396,629,809,467,606,495,585,184,497,252,531,589,846,824,445,729,978,586,386,
761,740,389,950,163,378,213,954,504,387,429,386,565,270,011,086,703,497,690,
540,615,317,240,858,353,905,734,031,146,562,798,550,330,092,451,840,442,968,
440,182,753,558,464,617,502,491,611,951,127,599,923,246,484,287,974,178,569,
812,425,092,103,052,203,847,787,262,477,107,778,227,179,908,745,919,958,012,
615,761,270,253,633,786,927,888,388,781,845,052,481,769,074,876,931,586,664,
162,799,384,412,515,334,593,407,411,823,157,544,329,606,296,189,965,006,392,
678,517,653,550,221,079,730,009,543,073,070,882,959,669,584,231,756,641,097,
578,102,309,457,920,610,885,693,825,419,885,860,560,668,998,469,645,329,229,
737,600,341,407,690,292,403,391,865,772,672,603,779,549,033,875,982,694,932,
728,752,780,617,432,673,400,669,689,747,930,763,932,552,479,595,673,556,482,
863,434,190,829,134,904,089,324,908,115,589,561,815,101,886,210,908,033,885,
314,498,591,414,414,769,080,566,476,482,636,115,130,119,429,929,943,588,630,
582,592,140,533,989,603,137,969,438,825,274,426,905,928,248,125,098,759,340,
206,663,211,565,866,832,034,596,137,894,864,208,345,022,498,653,808,277,302,
570,679,335,639,708,084,941,286,607,672,927,918,109,140,653,609,376,950,266,
361,513,519,596,039,478,711,786,983,555,185,070,907,147,261,742,238,749,688,
175,617,705,204,020,179,324,068,277,414,437,839,864,689,526,551,055,309,907,
969,251,428,741,469,177,481,142,515,890,269,698,323,307,239,115,352,110,349,
478,534,971,151,972,406,809,760,403,067,381,248,704,822,010,385,865,023,133,
497,517,790,353,381,948,596,718,289,701,206,895,591,397,620,917,356,234,770,
757,822,619,015,197,131,730,407,805,013,420,857,547,706,199,828,084,283,951,
401,278,859,182,378,267,331,369,267,347,790,736,701,827,944,961,882,683,942,
916,474,465,218,124,713,760,051,750,020,523,316,115,445,114,473,726,628,202,
027,279,670,718,182,313,383,378,301,115,960,574,205,453,014,845,531,197,040,
452,726,915,390,523,656,726,287,366,690,102,812,995,883,212,203,098,027,740,
913,398,250,932,949,458,189,358,873,483,714,133,022,307,658,281,416,252,011,
910,055,827,370,230,478,286,197,296,036,321,297,016,988,508,962,795,178,738,
460,349,618,974,389,678,893,141,361,807,529,867,971,616,168,510,843,489,146,
889,171,555,674,083,577,097,195,260,600,778,735,913,402,804,387,902,686,905,
888,490,614,752,858,025,854,295,159,979,176,171,785,736,571,826,020,526,094,
837,252,584,168,036,296,543,368,622,468,632,847,035,875,062,550,227,179,503,
310,224,874,466,863,156,576,583,692,641,117,243,904,620,624,527,778,006,516,
070,121,619,368,225,112,440,285,814,485,715,979,662,355,855,920,174,407,205,
014,437,076,033,549,001,068,503,896,810,329,421,627,949,757,710,204,404,338,
236,316,008,378,723,569,734,203,714,531,922,711,546,884,085,231,338,897,372,
257,555,265,868,491,731,242,991,180,087,137,055,778,178,891,304,775,260,681,
405,159,816,408,893,053,517,187,951,646,969,996,037,643,553,093,083,521,194,
326,403,007,328,977,188,669,333,564,861,912,487,363,728,280,671,107,158,000,
580,019,402,795,385,721,600,782,501,453,017,186,652,342,391,951,916,799,858,
424,620,247,293,894,368,575,571,720,243,064,072,634,298,347,611,947,742,866,
826,202,990,716,929,643,045,961,211,399,101,369,329,156,732,384,858,676,971,
407,096,985,020,048,682,474,758,106,267,141,953,581,375,382,700,105,345,400,
083,651,773,212,589,832,143,157,851,154,021,624,639,513,289,913,795,608,551,
690,065,854,604,104,088,025,287,297,254,665,437,194,351,497,504,258,531,469,
290,173,630,200,756,106,681,717,499,158,769,265,286,931,669,704,825,553,940,
446,527,299,597,592,562,524,261,466,119,144,332,910,132,463,069,217,245,630,
198,022,797,516,560,231,527,594,193,066,992,717,551,500,839,753,989,777,446,
185,859,281,310,558,526,049,200,896,021,023,026,876,103,475,566,810,144,616,
172,377,654,772,459,455,374,855,699,317,502,060,971,809,056,768,807,208,685,
725,762,093,396,110,646,786,188,536,690,437,244,692,490,668,845,026,513,808,
462,066,845,595,787,919,422,362,361,441,153,443,675,420,574,899,963,874,071,
284,931,271,919,861,256,126,431,304,994,367,358,587,271,806,462,040,834,855,
581,753,672,902,664,326,902,505,041,900,172,366,544,013,665,201,321,089,938,
001,948,667,141,329,887,879,839,556,245,731,173,855,248,444,117,055,396,896,
673,514,934,973,890,956,014,266,878,886,158,555,791,784,395,939,660,079,064,
339,019,749,752,384,927,195,850,374,060,563,869,357,269,168,532,602,481,267,
878,683,377,957,640,298,518,811,956,292,696,531,432,654,285,892,879,918,663,
933,821,196,603,572,184,006,983,147,353,554,366,669,637,773,673,633,012,954,
532,786,246,383,760,804,067,959,128,776,701,065,708,827,035,105,027,013,980,
213,193,704,884,173,176,060,610,304,671,073,839,711,826,253,189,765,219,833,
049,924,629,879,507,236,123,059,079,139,038,655,901,566,819,948,213,367,016,
463,380,604,635,375,219,175,973,602,345,473,040,287,385,795,211,048,502,379,
766,939,706,179,187,892,452,006,195,526,739,351,180,749,444,714,918,553,107,
081,477,324,327,840,172,553,116,866,851,558,124,481,840,737,647,495,349,198,
034,804,876,355,624,507,261,720,585,871,945,548,356,375,687,288,510,182,413,
737,095,370,694,314,732,673,997,020,508,119,222,531,254,176,250,894,093,758,
829,524,695,031,595,589,094,343,051,474,662,405,176,642,823,452,561,804,881,
587,671,739,315,954,290,933,445,183,179,511,268,669,100,971,862,208,355,136,
270,554,527,476,819,349,772,020,669,756,879,980,172,296,063,934,818,292,502,
962,644,963,369,390,537,117,089,734,808,588,799,913,560,735,746,136,827,536,
808,289,050,158,252,404,626,679,224,743,583,211,146,958,533,075,002,052,665,
520,562,367,057,536,147,260,781,385,022,793,800,882,707,525,975,125,410,249,
141,821,557,652,870,401,184,194,550,306,043,527,746,240,162,201,178,404,283,
939,118,154,276,559,828,003,708,421,396,145,072,990,256,936,885,431,739,378,
252,545,623,828,694,586,058,289,903,557,556,924,615,037,153,228,130,142,733,
944,743,118,972,340,029,169,824,657,011,160,699,882,505,268,200,401,452,021,
712,698,602,298,461,481,210,448,098,906,957,506,932,513,916,800,502,647,999,
872,391,037,255,469,533,503,253,719,462,903,883,564,852,357,984,268,490,579,
024,961,876,156,383,997,391,819,375,275,540,637,470,209,636,277,228,763,305,
606,331,072,365,957,123,433,943,344,643,350,456,272,489,618,857,248,254,659,
001,171,125,561,562,764,722,668,699,090,672,699,973,374,922,048,961,610,142,
714,813,869,107,802,610,620,459,630,270,554,335,567,765,677,066,963,646,044,
276,898,245,908,087,456,107,948,210,628,956,844,007,356,781,587,349,213,319,
453,390,242,981,510,454,042,591,552,772,589,190,963,886,333,751,097,234,236,
727,887,502,058,355,426,869,465,363,881,352,563,329,193,074,724,043,242,417,
191,457,870,656,851,750,039,858,760,222,453,924,024,609,989,784,434,498,267,
032,776,056,018,940,126,057,308,839,371,932,660,917,406,769,421,421,048,394,
633,359,388,651,084,979,146,878,923,956,431,610,604,931,175,242,817,955,469,
284,383,285,557,082,040,323,385,716,081,329,310,063,975,855,808,826,521,413,
477,677,187,083,128,200,125,485,543,479,769,300,720,274,152,491,945,465,002,
327,923,665,825,214,219,479,969,733,758,328,855,886,976,878,523,948,074,328,
755,080,453,344,250,286,145,510,604,384,661,497,855,198,802,626,300,145,780,
086,825,907,453,070,137,695,618,624,572,231,462,282,764,655,842,967,412,597,
650,397,653,562,303,249,567,338,367,990,211,381,716,565,481,221,823,865,820,
230,320,413,159,716,267,290,064,849,886,719,486,100,352,325,616,709,464,688,
116,191,829,694,525,445,125,048,940,141,767,699,104,378,623,757,205,208,570,
951,950,723,100,898,150,654,010,773,479,251,955,244,570,949,236,229,591,752,
205,324,805,248,943,553,245,893,339,047,559,761,646,781,650,305,241,385,870,
846,223,310,275,083,032,586,566,529,082,998,602,964,035,280,959,721,783,203,
176,560,583,463,520,490,932,154,032,760,640,211,131,427,495,743,818,968,089,
973,485,580,411,173,908,285,621,523,327,278,722,870,278,081,753,435,604,473,
675,739,690,853,264,803,406,049,957,337,726,445,590,517,682,990,764,485,973,
572,529,165,736,925,389,380,538,264,333,158,815,781,726,925,661,203,540,588,
792,781,624,344,079,011,828,057,072,472,778,589,943,452,210,646,328,428,083,
001,632,454,785,731,353,695,957,005,669,300,662,317,947,249,187,306,380,319,
069,019,660,196,197,913,388,883,758,922,606,382,560,346,456,079,635,285,844,
471,786,557,407,519,822,059,974,627,943,096,584,154,015,845,777,959,176,719,
665,937,402,844,790,161,188,707,924,018,238,670,303,494,928,536,720,899,669,
590,328,945,244,232,190,405,571,880,836,215,222,674,328,672,833,062,842,511,
816,600,163,685,812,316,910,021,008,869,046,800,880,070,164,218,442,190,772,
526,431,834,852,195,986,961,085,159,184,680,404,657,388,025,471,824,222,331,
788,531,667,913,003,301,344,151,796,124,628,063,882,483,214,347,506,086,068,
301,214,529,778,208,552,602,804,648,469,237,486,289,160,198,546,655,937,299,
700,443,465,658,628,833,799,095,714,101,653,231,086,415,378,009,845,861,510,
398,332,986,393,476,376,485,938,593,950,892,835,608,868,835,541,098,600,884,
826,722,826,537,251,995,892,437,820,157,973,734,828,608,019,655,655,550,191,
637,134,275,888,964,166,465,782,090,105,501,394,277,301,789,610,232,613,683,
514,071,931,100,684,184,034,309,630,827,904,553,134,911,825,490,657,517,144,
348,810,260,896,700,370,545,384,263,417,132,945,174,628,409,254,965,805,554,
906,726,592,587,089,263,122,643,346,971,312,558,429,497,404,195,566,462,185,
303,903,975,305,728,429,420,209,016,288,434,955,345,269,021,630,960,340,121,
929,890,101,327,060,467,037,689,520,142,308,186,739,410,278,829,374,981,418,
886,271,583,588,033,499,285,018,278,789,699,262,687,332,329,942,817,525,711,
038,380,082,518,103,613,437,666,324,361,439,371,028,593,914,618,668,052,844,
581,787,373,867,605,989,686,615,576,097,055,171,162,551,651,256,628,722,520,
342,336,905,936,435,631,743,507,465,870,315,401,210,284,074,563,988,321,878,
305,628,607,223,866,928,710,826,330,961,729,010,323,650,243,092,848,464,646,
002,991,636,295,059,338,272,263,491,329,664,160,481,549,432,684,852,724,216,
344,093,870,697,614,505,257,848,894,242,778,688,988,097,532,215,758,898,189,
556,855,444,828,928,033,038,024,992,250,403,686,305,050,545,524,537,412,918,
632,288,744,787,861,023,321,966,150,294,516,596,575,320,051,134,790,627,939,
171,977,144,482,147,470,215,943,183,113,352,846,222,906,779,332,459,991,244,
396,934,750,563,998,304,576,634,851,849,147,741,442,705,471,180,396,803,307,
737,657,349,386,193,615,029,379,336,798,321,397,705,341,333,201,124,389,857,
374,372,171,446,962,306,868,153,923,210,192,624,298,923,466,962,200,734,939,
872,885,803,330,908,938,930,892,040,698,170,756,747,247,486,558,981,716,366,
195,903,193,210,577,687,580,624,320,459,780,593,561,009,752,315,642,196,359,
682,019,804,668,101,513,977,814,385,289,377,715,263,643,342,658,234,982,329,
465,252,785,795,692,482,592,352,928,528,731,392,731,202,967,845,068,439,132,
721,709,197,304,786,021,047,201,988,725,488,247,646,083,243,446,414,634,373,
974,579,201,310,477,613,631,808,301,277,867,167,443,646,067,748,949,184,343,
086,599,092,377,582,897,130,068,794,846,196,087,592,656,384,689,386,277,687,
752,654,774,566,418,009,025,151,733,916,374,186,269,002,904,480,584,218,338,
257,313,301,946,389,730,459,640,013,595,732,313,393,332,284,045,134,192,471,
987,882,203,588,058,011,754,632,466,987,875,343,648,611,855,736,898,382,969,
084,203,781,415,877,138,827,196,139,132,217,385,243,127,933,816,975,658,040,
727,800,076,843,985,382,885,227,585,679,414,554,235,730,319,359,484,260,763,
959,939,081,675,014,198,344,276,776,576,171,398,798,125,291,592,811,867,939,
272,911,602,548,829,974,059,068,780,008,376,292,673,243,193,815,331,727,009,
608,265,414,328,893,009,833,750,189,913,275,202,797,522,048,755,404,100,085,
890,851,032,314,808,892,623,790,819,154,680,998,881,385,376,060,571,393,734,
265,894,230,470,946,953,186,074,194,864,751,844,046,641,765,094,742,149,736,
408,566,161,167,580,431,929,170,789,973,272,728,641,869,498,966,540,417,014,
266,596,935,198,749,081,837,206,152,045,975,408,475,032,319,145,772,795,020,
866,337,130,636,781,633,985,611,990,663,478,671,011,429,487,079,008,955,439,
666,378,076,835,890,350,737,764,096,688,202,710,548,843,099,433,275,900,063,
820,950,597,418,077,051,612,733,290,806,854,773,570,541,099,623,857,555,565,
154,460,284,096,088,169,343,727,808,896,296,878,172,363,938,994,491,747,609,
261,106,108,672,309,593,518,220,865,908,015,617,113,187,083,279,943,352,109,
453,059,763,126,142,808,272,214,810,701,623,552,643,861,291,936,705,847,023,
570,044,368,992,897,617,927,632,076,835,180,295,339,611,491,053,568,250,975,
753,817,623,924,212,538,763,254,651,787,631,134,484,930,881,396,311,014,209,
704,192,088,772,326,817,986,890,685,628,555,939,425,742,481,974,508,182,596,
861,507,473,825,627,339,809,366,800,707,615,633,872,040,746,225,013,508,471,
038,406,777,314,085,037,071,462,535,035,971,111,670,390,184,332,547,456,010,
167,519,490,421,693,831,093,955,147,863,764,316,335,516,187,702,833,364,836,
585,480,172,040,900,530,784,949,848,515,212,564,334,514,867,986,665,345,484,
365,575,768,916,973,105,173,568,821,487,596,896,840,346,508,255,103,821,089,
901,020,203,394,432,105,439,046,518,462,598,147,996,589,381,067,262,078,236,
290,829,437,949,280,889,447,397,715,813,500,038,745,498,934,616,063,356,346,
805,950,711,270,400,326,327,032,965,765,388,135,181,066,370,232,340,416,020,
191,455,081,681,457,712,587,042,982,369,253,768,222,167,109,325,111,020,368,
161,523,628,994,344,440,443,345,449,492,485,467,372,613,107,712,139,451,306,
529,848,293,750,594,953,933,073,405,347,006,109,628,416,654,912,477,919,252,
939,903,898,316,995,759,445,802,605,106,821,521,404,107,868,340,676,241,821,
454,473,606,283,515,752,375,772,175,246,421,450,384,899,419,767,703,684,634,
287,849,709,384,555,506,120,541,307,392,661,657,915,618,317,774,057,059,599,
607,609,070,846,551,799,221,801,772,269,116,677,002,470,795,048,148,163,654,
357,737,204,203,909,705,155,223,550,144,215,742,265,476,334,471,851,975,817,
131,080,938,886,838,809,859,009,769,633,483,927,253,468,685,184,646,580,920,
552,039,234,335,965,257,627,740,570,086,918,084,709,603,806,436,279,895,665,
582,892,155,944,553,555,905,493,669,357,843,855,555,107,911,728,200,267,472,
790,369,810,187,768,169,343,775,625,396,291,394,917,510,558,529,082,984,102,
946,770,104,656,327,806,082,291,305,123,735,099,511,994,799,509,339,601,249,
759,621,283,342,714,737,131,279,986,144,528,519,000,503,133,550,561,160,486,
791,000,960,868,417,603,027,113,096,608,977,051,778,976,389,996,610,595,029,
239,803,840,624,299,424,679,123,215,144,701,698,312,022,078,126,731,569,294,
293,499,840,331,631,494,326,823,023,889,742,385,330,130,259,705,008,229,613,
332,645,657,187,143,353,311,252,254,669,870,000,236,629,367,916,089,666,880,
416,861,962,420,202,919,225,107,636,300,195,382,315,644,708,373,927,983,188,
274,440,222,768,948,495,407,483,886,605,670,848,712,924,260,187,433,773,868,
863,795,871,200,903,867,933,116,840,454,272,358,453,827,458,378,614,060,265,
115,595,539,439,131,995,516,286,807,464,136,384,798,356,279,109,759,021,388,
676,976,460,564,022,616,577,446,859,905,271,225,647,365,476,847,325,498,863,
000,431,571,055,987,514,585,289,653,760,997,460,594,663,452,144,357,314,709,
983,667,561,863,349,949,414,807,422,149,017,855,553,802,353,883,739,176,976,
234,100,957,234,455,299,837,714,692,534,704,169,816,322,035,040,309,808,807,
989,056,413,997,426,982,352,891,490,868,094,189,180,989,555,038,390,925,028,
208,340,837,374,251,926,739,260,604,352,784,901,605,878,329,399,630,736,621,
993,771,688,088,089,160,869,799,855,937,193,396,515,961,950,647,185,279,961,
454,052,015,033,090,728,664,980,483,837,625,480,942,129,039,926,390,761,679,
613,880,926,716,499,780,750,969,865,657,299,753,678,338,903,793,341,284,320,
765,872,250,696,865,443,791,388,320,527,573,232,338,978,018,655,438,439,935,
142,893,709,202,799,521,790,615,363,432,263,194,625,449,613,225,679,500,122,
990,379,262,959,761,801,275,694,248,850,324,418,417,545,762,697,982,054,215,
268,093,335,686,710,264,596,112,016,715,771,878,464,665,446,507,101,625,956,
800,234,977,790,709,490,463,230,241,924,498,655,674,611,495,866,260,592,559,
668,851,320,171,993,277,846,815,432,317,153,246,651,213,447,747,940,076,833,
321,591,484,375,454,685,158,726,336,507,985,092,454,316,857,153,078,216,228,
406,975,733,203,587,155,159,994,995,670,603,572,421,839,215,126,632,339,724,
013,939,771,415,212,440,268,674,836,037,763,848,375,225,985,454,358,730,663,
803,024,787,073,522,278,196,652,295,881,107,734,927,231,070,982,071,749,031,
063,528,083,817,449,579,914,329,895,903,606,595,694,809,087,386,781,710,427,
966,125,886,246,406,474,314,837,175,401,049,823,426,670,833,715,943,003,098,
839,369,381,844,134,886,307,484,693,414,308,648,299,275,772,536,208,095,812,
925,451,622,220,165,554,224,277,345,395,912,869,414,387,973,747,918,009,403,
451,194,828,886,162,488,464,720,627,468,718,002,204,660,549,772,679,855,248,
991,755,677,559,676,640,128,888,880,932,642,968,421,814,708,618,089,868,296,
501,346,926,467,881,431,418,553,470,578,686,602,380,766,881,528,458,432,703,
379,760,988,529,035,796,012,868,532,568,928,511,064,952,405,075,165,577,250,
269,245,602,739,448,851,194,274,798,293,589,283,254,742,937,365,921,267,229,
840,415,049,899,861,056,690,243,556,991,828,935,096,821,207,283,142,211,910,
520,946,484,194,854,710,448,918,874,053,227,133,178,370,333,348,603,330,009,
284,111,470,896,792,626,793,740,789,591,201,195,264,674,661,113,051,626,539,
036,845,844,711,863,405,553,095,190,445,429,126,516,565,432,296,490,432,553,
493,651,840,147,405,732,299,593,372,828,808,404,348,965,785,043,611,280,448,
475,490,926,650,190,246,542,568,177,269,120,489,730,805,836,280,711,362,878,
761,431,119,850,785,608,819,528,739,499,293,209,669,412,625,167,321,643,698,
643,277,310,005,007,977,055,327,971,711,650,309,572,001,429,765,707,300,716,
794,446,047,007,720,714,840,762,844,853,742,579,504,888,440,786,855,595,164,
977,422,361,546,298,876,814,799,665,374,868,507,880,254,780,296,166,328,724,
663,357,734,023,959,141,541,307,238,623,839,223,291,316,510,026,133,786,242,
353,782,793,826,773,430,763,599,889,948,635,843,546,430,474,816,014,608,551,
690,727,946,395,930,653,665,268,083,206,534,650,053,891,788,479,935,788,457,
382,365,016,122,395,308,653,648,828,413,673,489,552,393,367,329,880,989,618,
082,219,088,606,605,856,967,064,256,711,204,546,280,882,179,015,964,508,024,
636,793,651,984,313,706,596,222,888,827,032,834,136,854,002,125,399,434,388,
433,165,459,422,026,819,364,306,912,407,366,067,565,272,531,855,223,514,137,
314,127,774,059,087,217,340,320,043,948,731,734,789,493,048,935,049,617,685,
889,150,632,177,627,556,695,102,457,096,861,198,745,239,118,112,760,710,166,
743,608,013,934,260,616,356,724,086,097,747,870,441,941,406,758,040,235,485,
578,003,288,985,199,828,784,227,050,547,273,416,372,430,012,239,701,798,664,
036,930,722,110,636,899,315,681,539,301,902,045,375,555,376,683,501,584,175,
461,262,596,078,504,418,290,853,603,642,381,418,902,329,095,087,594,935,626,
497,558,867,622,116,698,585,414,259,037,205,675,138,916,503,241,284,266,143,
559,356,339,635,715,170,657,279,319,716,809,422,330,727,945,163,279,678,987,
952,303,243,327,067,277,877,661,048,320,490,081,316,315,567,523,838,071,765,
035,627,406,646,755,242,137,766,161,510,846,188,442,661,491,673,858,210,220,
260,667,024,817,515,809,141,035,661,122,035,852,212,820,117,606,797,216,440,
802,043,954,157,569,904,803,960,116,348,553,041,266,167,896,033,976,130,926,
971,877,117,508,920,174,735,667,385,651,977,269,296,314,988,055,453,129,145,
563,964,621,771,882,583,611,791,045,770,337,147,866,091,755,779,946,400,548,
865,456,407,175,905,408,889,284,358,875,275,570,494,045,235,686,961,316,094,
369,214,218,169,928,681,409,232,413,789,330,358,432,207,522,126,821,707,714,
003,259,453,536,003,953,494,749,175,359,841,088,256,268,146,890,017,556,545,
369,784,907,364,400,361,812,608,588,680,158,364,754,928,598,466,807,179,257,
377,085,105,187,784,386,430,683,439,997,044,509,643,948,038,729,582,236,170,
730,651,729,243,161,515,286,226,438,848,068,654,431,066,226,656,759,430,140,
743,675,464,965,482,986,148,830,572,879,633,055,251,097,767,364,239,984,860,
140,451,461,584,898,883,099,814,911,229,495,862,982,572,807,962,482,523,092,
641,900,546,598,123,762,666,000,491,613,798,464,683,972,616,805,356,684,409,
047,692,776,140,467,881,229,480,790,274,179,526,562,632,537,747,624,380,703,
280,326,032,069,468,154,291,636,705,096,974,249,178,921,288,624,208,222,932,
945,836,239,223,224,033,415,698,999,712,017,334,040,820,491,964,814,321,757,
273,366,797,158,606,437,261,840,722,303,063,502,689,098,471,550,226,588,262,
342,787,351,282,830,089,700,024,765,162,526,096,448,382,024,782,131,532,052,
059,984,766,228,698,719,161,057,893,400,816,162,057,089,574,723,750,331,150,
988,827,299,902,215,976,289,586,494,562,352,756,223,690,946,556,252,833,844,
097,283,809,262,977,351,050,174,614,225,785,272,949,170,527,937,101,461,691,
314,151,398,535,745,517,591,291,293,245,146,831,476,680,403,227,691,042,554,
865,120,122,714,407,789,249,427,966,255,437,299,846,882,496,444,073,131,311,
936,549,534,485,756,462,053,890,916,272,336,963,314,922,783,601,564,660,610,
880,568,233,508,924,314,730,362,712,604,452,401,011,845,464,122,208,259,564,
645,461,118,227,399,773,664,751,786,632,528,358,692,818,943,886,727,077,565,
826,991,892,045,079,222,169,231,037,079,667,646,357,797,088,137,670,689,948,
186,859,651,574,357,266,249,418,377,716,239,740,087,967,498,506,593,055,671,
864,402,618,127,487,363,071,052,270,510,381,977,258,885,461,255,142,268,332,
968,716,257,164,219,109,077,028,020,775,203,714,602,903,984,198,115,047,107,
910,141,406,168,272,547,366,137,982,947,630,825,346,087,658,374,571,529,027,
534,679,496,738,634,392,627,071,828,234,143,635,280,291,431,011,856,747,655,
351,004,389,994,669,007,885,265,817,803,768,221,312,552,762,208,258,234,537,
884,332,029,831,427,310,635,940,640,802,201,499,139,071,028,495,852,708,070,
707,475,073,682,722,587,108,007,048,845,533,592,994,056,150,307,276,404,313,
895,375,679,270,019,204,600,013,829,072,037,814,415,892,173,929,955,598,978,
303,068,542,780,978,685,040,911,428,743,083,013,193,896,039,676,239,533,086,
199,069,068,466,302,286,150,914,370,576,712,271,448,640,706,441,187,564,964,
855,885,089,735,339,172,160,313,467,678,483,653,306,295,690,282,253,758,331,
427,529,573,720,843,957,271,725,374,195,153,637,527,214,445,794,289,634,848,
947,050,740,558,616,766,833,660,574,495,384,208,485,219,365,188,795,050,426,
102,010,900,063,432,867,645,076,316,036,336,221,935,203,788,903,666,583,947,
288,418,507,434,474,518,524,033,140,801,053,319,188,597,726,945,322,167,608,
088,866,146,251,416,525,658,011,712,812,932,433,951,050,804,736,153,573,819,
783,930,627,774,628,354,289,913,761,429,561,120,395,428,792,795,293,708,510,
913,553,704,441,497,021,072,430,050,142,529,041,018,439,529,291,264,561,006,
694,263,843,244,758,436,016,054,894,110,580,067,634,306,629,137,588,196,555,
320,881,373,783,153,159,251,784,671,783,186,956,419,390,987,328,199,981,749,
725,285,877,985,775,187,837,268,703,594,414,256,824,897,897,469,443,507,708,
257,242,580,467,653,691,942,394,348,904,884,172,369,071,573,012,107,841,071,
875,583,804,160,546,034,520,138,070,835,219,968,609,202,725,209,894,728,707,
601,401,576,770,704,896,384,830,503,490,851,363,655,014,041,085,614,580,819,
962,967,558,601,692,152,383,918,003,656,092,940,574,430,593,019,327,209,235,
975,832,686,842,120,941,249,896,335,783,272,805,623,967,141,177,235,117,299,
309,713,425,906,262,121,901,117,459,270,916,989,862,359,270,994,023,879,784,
470,501,336,493,699,681,437,502,807,374,576,945,578,572,732,206,222,755,707,
269,904,997,671,843,424,560,602,916,550,136,865,708,034,194,948,637,642,016,
886,494,303,518,341,966,522,125,285,782,382,374,195,565,158,203,075,455,405,
082,603,902,181,620,826,628,436,876,317,556,068,800,093,942,453,181,983,029,
899,529,243,684,404,949,726,753,531,660,246,699,880,736,867,102,809,241,271,
364,770,738,872,057,062,431,735,312,228,306,867,323,653,644,995,228,736,687,
060,771,616,026,859,163,489,440,919,727,014,125,694,871,435,131,256,859,866,
125,789,560,934,862,423,684,684,103,055,086,314,704,538,835,360,143,506,389,
278,472,919,118,539,029,109,814,535,451,276,247,483,430,145,060,037,977,724,
209,270,916,552,720,614,800,715,783,797,315,786,803,338,079,192,818,059,153,
473,140,088,408,677,465,823,513,267,373,119,483,982,547,385,904,078,500,993,
129,379,539,611,907,148,206,940,804,081,020,204,082,903,789,711,164,081,992,
600,999,950,808,262,121,687,457,003,517,810,484,056,172,881,771,378,273,391,
402,059,595,051,450,482,786,273,971,975,114,192,197,673,347,783,477,830,393,
515,514,987,229,355,068,370,137,776,893,802,203,237,225,105,381,740,930,137,
975,228,011,362,502,651,210,702,184,143,847,465,580,933,434,065,190,956,387,
913,694,890,941,811,427,777,373,391,989,435,128,867,382,431,674,113,273,021,
354,980,599,685,054,499,657,877,896,683,418,009,958,978,152,486,848,202,038,
293,327,842,414,227,014,020,932,688,147,822,837,962,832,591,231,502,251,789,
712,319,606,726,837,382,000,528,270,702,456,195,376,046,301,590,440,891,493,
237,296,243,129,210,211,728,044,213,720,196,035,443,598,752,600,713,609,401,
532,684,342,659,503,355,850,478,339,450,166,316,047,636,085,079,858,963,910,
865,921,198,785,475,871,376,414,850,681,278,927,170,227,303,375,669,427,773,
873,136,827,038,674,379,812,928,122,841,836,125,054,586,011,959,499,600,523,
819,562,730,012,069,147,152,313,429,560,478,731,245,899,130,138,014,866,146,
808,315,598,024,430,124,043,270,721,523,090,182,867,746,853,830,682,380,505,
474,309,930,418,225,092,175,405,410,434,392,650,944,346,579,263,941,316,605,
076,521,644,863,850,904,686,701,884,319,375,798,185,786,140,547,541,683,923,
853,831,279,657,639,450,578,934,032,968,187,117,947,635,450,412,190,326,984,
417,634,022,990,470,833,328,869,277,578,109,827,481,653,101,274,663,371,883,
705,762,555,137,910,901,972,300,771,552,722,562,066,825,932,052,637,944,482,
468,034,119,968,077,113,327,057,978,222,295,091,234,306,462,233,272,473,024,
665,669,357,549,953,412,637,079,749,724,735,543,818,540,180,244,915,233,442,
238,346,880,342,143,971,406,242,673,908,469,764,340,469,951,248,364,263,529,
185,126,753,875,995,564,215,932,436,770,613,336,106,861,846,937,682,911,143,
499,719,306,650,493,436,508,420,183,881,367,805,250,697,996,091,556,025,823,
644,938,339,689,914,216,263,212,820,768,042,032,164,342,700,397,654,386,673,
819,208,139,509,666,997,671,801,989,545,437,479,223,074,381,090,821,652,086,
707,944,194,583,832,454,496,802,983,110,737,853,943,018,482,426,574,769,986,
632,009,548,645,099,715,275,980,903,280,199,790,767,801,149,396,064,165,630,
186,487,473,488,986,043,067,428,067,818,052,551,585,800,229,970,227,343,145,
808,219,054,511,534,844,252,417,692,316,403,888,388,089,745,648,950,315,202,
060,930,867,927,381,349,447,671,946,091,120,819,974,804,627,861,206,592,784,
052,382,469,013,611,453,835,851,399,333,015,363,976,303,119,065,008,075,124,
035,896,315,475,274,099,884,895,963,816,932,107,653,121,962,500,125,435,396,
115,132,486,893,841,464,299,465,571,826,117,460,367,668,349,977,005,097,713,
417,313,586,309,962,594,536,321,291,716,173,640,559,001,113,375,998,619,668,
398,064,617,325,175,742,668,313,119,921,614,904,529,447,947,571,807,348,182,
112,354,128,001,099,414,105,125,755,674,714,976,575,599,205,205,555,597,317,
617,916,990,851,525,206,415,126,442,470,229,477,186,197,478,843,596,026,354,
819,256,442,342,894,525,363,379,320,935,761,408,378,563,079,433,500,112,522,
670,852,266,287,894,127,895,866,812,687,284,322,119,585,509,357,600,585,019,
342,961,103,288,556,938,133,846,082,024,471,480,324,101,581,876,780,060,404,
496,193,838,305,049,278,753,584,073,742,309,339,291,609,477,306,973,567,314,
284,586,047,968,888,989,521,565,811,268,122,472,406,370,782,398,606,675,633,
487,791,629,538,457,507,904,514,131,737,729,589,441,054,997,626,080,173,678,
094,452,420,391,003,562,929,314,727,941,251,787,112,096,283,153,365,308,259,
019,272,965,219,546,723,848,256,857,836,951,006,420,440,216,122,824,982,564,
257,740,186,319,618,640,687,721,965,166,181,877,058,488,989,882,886,288,688,
139,243,639,777,362,425,188,582,195,867,029,597,779,510,692,327,307,035,820,
982,477,715,364,039,167,135,628,739,659,219,426,005,849,342,226,003,585,000,
338,038,695,011,364,485,676,210,033,504,891,270,217,999,404,661,690,661,458,
900,665,810,108,840,992,587,376,644,117,986,295,087,434,982,136,730,864,030,
066,409,047,760,947,267,600,132,730,613,843,378,742,087,835,692,057,690,784,
845,491,111,768,172,118,073,614,498,984,619,583,730,973,905,283,749,087,859,
142,423,150,343,379,474,163,974,321,984,854,056,625,669,702,618,753,184,037,
949,092,560,609,440,304,496,059,832,429,301,977,312,460,538,030,965,743,709,
454,690,382,421,098,318,003,271,734,262,797,464,360,555,158,769,177,667,320,
023,761,733,745,784,354,056,244,156,341,171,813,818,369,011,034,487,549,783,
362,799,581,321,265,887,452,340,830,946,788,912,167,553,429,306,286,351,343,
358,692,936,908,991,820,480,905,821,632,542,949,255,396,353,593,800,459,379,
034,060,420,240,265,678,519,048,946,826,704,222,985,120,123,513,166,695,672,
492,388,721,840,929,453,669,951,275,775,817,041,896,028,789,372,295,588,867,
229,394,359,003,559,478,941,722,444,607,286,062,110,291,937,077,329,482,827,
569,814,740,284,385,149,158,186,579,661,133,715,558,411,843,179,834,220,600,
371,238,152,159,180,966,724,470,521,155,219,038,380,656,632,627,058,908,503,
314,183,028,516,081,343,900,409,087,306,529,055,865,183,540,892,925,355,805,
795,158,278,386,691,963,077,487,658,404,380,900,284,780,102,404,845,448,680,
855,821,053,024,689,972,190,800,179,395,177,868,002,288,173,747,745,654,146,
840,300,833,115,037,294,210,685,170,361,332,059,854,102,885,681,787,112,533,
419,450,429,184,808,969,289,871,919,353,366,818,224,310,935,437,564,868,962,
334,028,635,870,202,958,044,701,881,147,047,928,938,371,488,041,601,481,540,
482,343,026,110,460,240,870,694,023,212,261,509,032,471,912,065,851,011,807,
211,087,735,494,952,998,782,203,514,190,876,349,644,360,911,741,001,989,389,
897,888,823,279,192,216,860,863,761,923,266,964,770,828,110,445,167,103,575,
238,232,935,459,142,940,971,016,357,983,507,064,658,549,844,827,110,369,709,
022,480,772,476,306,023,389,162,616,251,869,158,667,351,825,649,641,968,638,
752,863,604,114,202,407,452,039,641,253,688,683,779,412,984,719,708,721,990,
412,162,446,308,778,681,307,928,907,255,697,155,941,909,232,902,578,950,967,
256,569,931,433,005,821,124,037,742,068,038,913,988,129,205,676,364,733,368,
907,045,163,616,307,223,026,037,076,376,967,936,676,148,952,757,694,764,274,
079,808,683,477,716,175,398,236,871,053,575,542,235,394,435,934,169,228,024,
323,993,958,336,202,963,571,517,589,260,729,760,238,194,419,701,508,871,767,
215,644,705,928,699,637,723,510,566,589,422,637,766,970,017,575,196,152,618,
132,542,017,558,453,790,078,809,606,208,371,763,075,762,072,741,302,904,752,
658,665,463,235,870,859,695,033,325,859,610,558,871,821,336,520,861,359,434,
763,971,640,809,372,870,935,109,499,576,575,440,156,066,588,585,441,061,749,
623,778,767,450,371,261,159,418,312,277,187,408,542,912,048,811,974,207,136,
672,454,990,912,964,681,141,539,591,926,560,818,096,636,976,904,023,626,628,
326,857,070,852,959,326,871,308,208,444,935,014,267,515,223,003,628,743,022,
632,547,955,546,838,252,862,699,855,134,204,307,660,045,431,208,659,327,940,
771,224,046,164,875,876,122,563,746,235,530,767,173,441,834,311,112,070,211,
121,854,394,971,005,511,591,720,598,894,771,765,486,973,402,463,507,435,959,
936,308,909,955,488,511,218,398,420,736,429,457,001,840,647,727,377,860,615,
246,187,602,024,008,771,041,407,230,387,307,151,788,218,191,591,478,010,228,
858,736,099,373,486,562,278,180,674,955,806,210,588,906,408,764,185,140,459,
248,852,876,346,142,676,037,301,480,304,987,625,913,344,751,735,143,254,073,
076,545,648,698,468,479,163,422,622,772,976,808,413,911,994,779,967,107,518,
371,549,465,112,697,513,663,078,634,499,745,472,233,191,273,528,809,877,082,
534,580,442,420,806,180,108,646,802,481,756,717,558,292,319,664,866,268,483,
647,173,784,341,758,766,786,819,942,848,472,481,867,605,549,033,607,827,171,
390,045,778,369,782,981,443,229,885,462,182,605,928,798,722,287,728,901,028,
071,412,314,034,015,790,004,038,063,596,561,765,603,294,200,263,496,603,782,
049,316,160,957,356,498,292,647,018,067,576,493,746,088,432,382,233,022,079,
672,011,055,113,675,398,836,651,496,476,859,570,661,342,672,012,487,066,957,
076,287,551,593,388,129,212,194,148,328,824,844,487,418,111,538,312,230,920,
663,716,705,327,414,105,209,582,965,714,344,707,277,658,639,423,808,271,812,
654,310,636,394,450,316,562,639,944,331,216,074,886,741,282,351,957,886,370,
966,186,446,817,655,847,266,543,134,424,755,184,861,146,212,214,018,221,071,
017,840,737,225,164,641,657,118,249,164,369,741,682,815,825,207,293,928,880,
525,724,698,784,590,893,961,206,126,282,871,430,340,708,711,213,361,545,025,
779,737,870,094,446,330,788,438,770,197,323,880,764,278,400,485,944,116,746,
461,363,824,933,930,266,165,548,267,132,942,585,787,824,974,095,430,771,567,
962,849,861,140,975,872,376,136,509,338,290,544,699,725,882,864,562,258,939,
612,202,178,051,345,710,302,233,597,127,896,560,705,029,098,721,676,236,098,
286,641,902,643,158,571,914,394,449,278,967,370,967,052,483,938,063,119,979,
047,741,185,078,746,966,526,368,388,788,994,275,281,768,511,997,231,307,370,
805,335,469,693,725,567,540,266,312,309,515,162,222,928,434,222,059,132,849,
541,584,183,875,721,296,851,344,788,271,722,944,410,782,039,478,944,437,620,
627,445,319,059,369,594,909,156,835,487,742,079,724,767,813,632,265,328,023,
008,427,691,069,412,008,114,296,823,540,096,581,818,681,716,408,080,897,891,
459,378,418,361,826,538,054,718,102,415,474,436,859,554,297,218,393,155,145,
387,082,247,089,595,202,031,064,689,291,227,677,280,742,923,461,144,387,287,
376,037,048,687,528,925,076,398,105,007,664,678,252,692,358,061,589,014,948,
107,578,050,610,599,596,917,285,932,835,916,395,187,014,740,705,311,180,122,
058,987,452,433,681,804,740,079,214,390,113,138,868,326,727,223,817,387,042,
269,543,396,494,972,465,150,932,263,113,291,814,315,753,532,180,135,561,218,
296,385,416,435,191,927,265,461,118,698,720,317,140,600,831,732,009,083,318,
367,164,109,054,399,041,211,942,047,759,085,815,562,548,886,253,800,795,065,
984,452,529,414,019,531,719,604,275,302,859,464,020,093,296,055,624,423,017,
996,171,855,999,548,535,922,652,380,414,872,021,414,832,938,402,417,051,260,
865,432,852,284,540,336,019,610,548,326,386,460,040,502,866,179,105,374,691,
394,794,189,346,981,638,998,380,444,178,922,134,227,530,600,337,628,654,474,
460,131,981,965,559,854,286,209,569,824,832,040,860,171,224,666,302,501,835,
279,772,910,378,539,737,206,244,489,675,348,061,560,284,410,314,180,087,698,
418,462,835,682,100,328,566,510,273,429,690,112,229,221,467,305,068,888,670,
511,799,198,119,482,131,997,868,257,152,668,174,424,347,868,692,866,757,678,
842,160,215,975,604,884,176,137,966,854,886,610,847,732,522,671,314,126,047,
017,651,197,186,041,107,457,449,814,334,686,898,437,088,577,744,960,137,324,
551,816,805,403,748,019,301,714,357,483,962,155,062,757,551,487,208,314,045,
201,819,463,690,736,968,768,548,266,929,941,753,184,425,206,690,819,565,685,
335,472,458,404,354,411,463,078,724,421,824,185,383,569,639,837,418,260,237,
042,093,045,231,371,525,176,523,333,981,558,980,813,079,934,386,596,003,266,
255,596,310,268,219,947,865,341,213,228,318,721,332,678,621,209,931,557,914,
013,709,527,816,573,661,495,348,478,006,526,380,955,535,429,293,004,227,252,
822,716,951,957,630,235,638,650,548,055,092,081,779,961,868,660,081,957,375,
542,027,700,671,584,236,278,682,188,601,655,874,785,014,551,379,413,362,206,
478,655,799,257,336,010,071,418,833,218,560,708,951,070,497,210,715,099,315,
445,026,925,832,147,461,346,384,896,251,967,581,974,836,138,485,224,875,233,
916,573,894,227,044,549,579,491,197,427,806,362,228,694,590,144,842,129,170,
866,318,597,348,711,656,826,463,389,276,398,827,145,729,076,635,298,472,110,
976,280,929,716,092,697,438,067,401,424,925,797,350,238,470,783,236,802,420,
417,088,240,457,658,743,121,453,840,162,016,065,200,890,265,403,518,016,989,
445,660,830,624,440,510,540,798,910,060,272,907,602,144,035,247,147,428,606,
612,227,207,522,299,932,969,880,884,925,000,935,753,654,021,839,604,855,898,
816,380,139,129,591,469,564,670,774,781,828,962,574,864,792,068,448,790,337,
848,773,734,909,239,235,567,466,848,674,251,205,581,760,975,394,955,246,268,
627,486,234,165,940,176,849,300,707,068,630,770,411,908,879,459,814,114,043,
378,906,095,664,110,192,868,775,398,457,088,892,226,193,954,690,761,114,445,
915,171,296,610,568,771,710,790,090,006,997,077,774,120,620,934,162,304,663,
600,781,683,887,874,419,364,553,276,344,197,667,542,274,182,027,079,606,379,
990,389,772,206,945,224,725,215,702,270,025,041,971,908,027,212,653,337,254,
420,758,232,941,032,765,223,568,433,193,006,983,999,565,965,276,772,116,713,
185,065,080,581,292,649,837,223,729,495,646,579,494,845,680,513,139,095,073,
529,105,520,798,089,577,254,768,429,592,127,114,166,481,079,273,169,422,873,
821,841,841,979,162,567,845,999,897,348,974,170,622,439,444,190,745,535,109,
928,767,695,850,871,241,745,750,540,393,396,086,436,527,679,832,198,750,585,
044,264,581,262,784,568,608,766,192,132,227,390,014,211,705,129,139,230,358,
453,184,945,555,253,444,506,209,372,859,707,795,037,056,664,183,524,535,247,
757,052,804,373,232,320,425,365,962,521,874,317,008,491,703,848,947,856,624,
610,069,061,762,778,715,173,975,126,986,110,878,601,617,459,611,929,351,633,
829,481,430,372,285,026,819,998,873,356,529,773,391,920,813,822,373,921,120,
042,235,547,683,000,798,596,582,904,436,926,347,793,132,256,933,166,461,688,
818,234,849,407,515,031,239,928,980,782,172,673,396,969,272,674,417,426,315,
004,855,688,697,158,960,830,051,418,261,195,414,459,993,857,962,736,063,740,
392,862,866,120,605,831,909,506,581,904,280,920,498,501,997,711,542,331,213,
682,327,606,249,607,746,205,121,763,176,664,232,764,501,496,513,462,538,341,
487,964,259,768,139,255,141,951,982,502,454,469,982,858,624,163,171,399,676,
808,836,431,550,786,826,007,060,072,066,189,572,513,932,236,009,110,270,924,
850,184,331,168,564,829,896,153,987,647,560,456,582,004,340,050,930,647,554,
556,355,245,368,701,411,504,009,198,764,902,077,323,333,314,993,812,717,876,
858,020,487,643,564,032,214,173,113,267,812,527,327,933,924,518,262,694,600,
070,601,921,572,679,135,108,987,889,094,774,796,939,110,716,235,611,730,172,
412,882,926,965,495,898,438,911,293,167,400,562,268,864,344,932,672,178,953,
088,815,829,844,006,434,390,240,617,712,242,377,797,389,923,903,063,110,393,
171,489,589,401,377,257,075,747,138,967,908,284,672,525,886,055,330,933,345,
973,785,429,747,906,565,780,871,452,421,050,676,694,609,461,660,691,071,374,
753,250,671,046,746,681,652,014,027,710,256,405,155,647,022,580,305,658,789,
892,125,146,763,399,111,043,819,362,123,871,527,923,516,058,363,154,620,563,
877,724,160,516,973,143,444,549,355,168,650,551,906,329,842,109,454,852,458,
276,841,681,509,274,502,241,309,463,584,988,565,935,077,865,774,716,517,849,
364,941,956,905,147,577,414,314,520,417,718,089,679,635,376,320,129,937,404,
855,866,300,095,361,931,529,202,123,174,494,512,557,617,508,574,492,100,845,
652,230,953,328,258,133,666,183,002,861,790,139,284,005,072,424,611,615,445,
927,588,977,732,185,183,228,366,791,168,747,732,357,870,824,322,042,247,282,
628,833,849,490,369,523,078,218,842,796,632,137,216,365,075,650,950,531,191,
824,852,109,914,391,059,181,626,267,868,476,835,928,755,830,850,066,063,620,
952,728,887,487,081,979,360,680,329,015,257,009,185,455,144,692,187,964,537,
293,321,545,594,500,610,052,221,688,775,009,839,775,558,249,971,745,921,453,
307,924,229,089,827,581,148,013,673,467,251,066,854,889,721,919,559,738,010,
909,052,583,626,052,430,626,169,373,442,919,181,638,517,147,004,285,347,202,
117,694,954,566,808,390,058,029,299,988,061,670,294,774,261,191,441,681,862,
556,873,634,086,965,023,955,417,143,761,266,246,223,157,883,309,470,418,118,
224,061,073,000,971,054,573,548,992,197,661,676,565,019,954,909,911,543,278,
314,633,025,476,315,483,839,437,915,039,143,797,449,519,201,663,384,897,029,
006,258,405,898,779,724,197,523,880,549,495,552,698,615,404,622,175,367,588,
785,335,012,881,591,089,859,449,202,302,474,266,999,713,162,728,348,352,441,
958,517,495,226,282,268,725,330,884,871,957,558,639,302,694,129,227,994,268,
907,136,946,289,350,746,834,214,253,623,709,969,823,746,690,413,424,330,358,
391,416,166,388,393,539,642,465,578,502,177,150,129,226,754,530,335,446,668,
441,939,040,243,426,331,052,467,229,373,885,990,018,435,873,857,017,388,659,
762,983,935,513,862,510,488,696,624,284,400,822,671,936,104,614,166,099,589,
982,294,554,959,910,473,587,748,060,306,215,982,712,471,893,441,111,426,401,
994,601,455,068,743,210,256,078,015,711,318,515,090,918,132,528,349,374,918,
282,060,743,290,655,457,052,323,184,341,231,282,322,460,696,617,768,970,748,
076,614,017,210,933,777,041,570,633,873,627,252,434,120,037,591,407,824,845,
271,930,907,575,033,122,512,994,748,476,445,418,476,427,545,060,889,190,365,
695,231,339,478,815,412,684,647,436,597,021,936,686,319,111,761,287,376,109,
540,721,252,462,911,578,235,981,168,755,464,549,576,540,299,826,105,733,258,
609,007,166,779,231,516,744,857,686,865,745,341,446,514,744,421,498,994,049,
055,889,759,127,839,847,625,378,125,616,481,251,565,434,424,758,603,799,603,
666,091,204,436,960,644,034,340,416,965,256,127,869,792,151,368,034,325,269,
778,751,564,879,731,580,381,154,518,394,617,727,180,373,476,149,216,647,214,
013,452,033,349,238,418,470,600,707,114,443,066,923,548,787,244,081,379,041,
598,802,867,776,496,705,428,002,823,374,834,547,109,120,476,221,253,667,947,
402,808,636,015,671,993,438,057,195,355,402,801,038,388,321,185,174,962,870,
064,400,207,013,268,856,395,745,600,341,881,988,430,741,714,622,894,376,685,
432,560,035,873,945,450,942,176,533,637,832,803,770,650,611,864,591,980,593,
295,673,890,808,507,301,580,707,889,073,161,105,877,719,940,380,871,005,836,
301,072,333,001,685,968,255,977,536,853,015,443,605,111,003,958,792,802,976,
214,882,172,840,572,054,732,013,283,720,101,834,180,061,172,028,432,333,755,
569,018,375,900,733,876,475,785,516,059,038,099,597,614,047,622,370,191,077,
501,399,975,352,315,863,836,304,057,983,044,484,480,872,390,242,957,673,003,
598,261,074,146,177,051,367,197,062,916,901,255,721,499,060,710,271,700,507,
682,970,600,471,823,384,981,925,507,100,972,048,687,750,781,201,172,945,477,
353,685,106,508,237,499,404,029,512,240,009,037,849,854,636,130,749,096,122,
570,690,079,292,797,888,446,925,460,228,494,112,349,485,377,141,238,665,157,
768,525,792,940,686,452,888,494,612,268,424,707,309,898,751,372,977,159,878,
442,448,156,993,727,147,953,799,008,816,737,631,380,356,561,936,684,451,151,
983,908,857,845,313,960,866,432,032,425,285,142,347,356,975,715,190,570,619,
669,015,764,886,075,116,976,633,858,587,828,345,775,507,630,961,265,749,203,
068,471,655,537,602,678,619,425,357,759,664,573,514,769,616,979,311,595,719,
127,189,855,559,763,784,183,739,178,103,995,458,306,607,249,284,170,214,427,
499,381,752,046,960,077,751,255,272,354,393,750,784,096,771,478,455,826,927,
008,654,830,044,859,865,835,917,112,852,336,718,134,056,141,702,936,674,486,
822,751,930,199,866,993,838,339,678,983,478,056,060,454,039,627,990,407,173,
741,967,689,679,423,384,443,257,641,508,246,204,876,107,633,151,802,014,002,
824,539,210,311,158,441,691,652,999,492,068,788,724,855,830,341,405,657,229,
373,900,182,971,321,761,287,924,929,834,675,618,202,537,941,743,074,352,655,
296,085,698,502,283,615,101,258,435,455,138,744,929,271,778,099,545,256,109,
574,762,252,941,624,383,509,272,686,219,901,471,302,517,782,291,454,980,407,
037,855,196,825,748,987,439,097,111,558,678,110,627,186,329,383,105,791,774,
436,542,817,730,131,679,450,301,669,407,306,758,024,385,832,287,494,097,954,
133,797,456,361,312,845,010,371,125,526,626,493,802,010,646,122,659,249,841,
940,079,131,063,336,307,859,477,003,979,278,241,275,263,185,440,353,822,387,
257,463,293,191,410,586,316,609,200,989,573,683,133,115,653,611,923,077,637,
435,370,117,763,676,799,105,840,467,238,949,321,513,567,623,666,664,906,463,
169,221,452,712,998,512,914,818,995,757,932,971,945,741,520,507,635,970,404,
898,300,760,836,922,179,954,120,521,408,486,576,303,522,013,395,066,272,703,
943,686,125,359,620,344,916,202,283,873,746,172,006,635,354,713,372,437,414,
055,547,003,665,427,272,976,286,586,129,811,296,719,405,680,638,312,179,260,
187,207,954,729,216,927,445,805,283,522,679,999,437,218,345,829,664,667,951,
106,294,841,636,362,532,110,071,387,386,510,859,036,522,547,615,956,407,753,
368,720,582,872,239,151,573,712,078,426,066,241,006,861,952,651,296,155,727,
392,510,845,207,103,709,744,387,995,006,522,279,447,625,930,153,434,936,708,
612,941,479,674,925,923,069,782,453,705,988,677,550,132,850,459,260,191,751,
193,229,325,970,013,288,954,426,029,518,735,385,665,161,734,843,262,409,374,
069,698,799,362,117,172,322,435,035,743,341,923,156,866,836,204,486,912,716,
617,183,573,133,061,704,660,950,695,933,348,924,569,206,701,104,623,228,124,
582,104,932,884,859,136,475,387,787,608,023,478,943,704,200,472,770,774,771,
004,079,251,878,978,028,896,437,351,471,568,941,769,569,161,817,402,428,969,
671,294,715,749,969,633,919,275,152,121,138,896,311,300,271,208,686,140,321,
966,561,920,341,609,977,274,137,911,913,313,996,208,858,986,736,556,978,174,
519,107,043,230,816,014,758,708,280,945,557,948,436,488,867,035,653,800,648,
180,962,639,211,061,345,565,872,643,137,308,615,077,439,944,980,612,592,778,
654,386,272,650,401,585,932,231,336,646,201,442,803,129,714,816,965,862,381,
695,569,814,849,916,056,939,416,244,863,894,469,301,690,671,539,583,514,302,
694,891,294,470,490,437,890,235,160,421,318,165,213,635,292,693,136,416,524,
368,706,013,292,459,274,871,786,787,263,522,273,080,444,231,916,309,158,374,
175,439,989,570,539,078,619,932,880,575,969,957,359,564,768,468,697,604,358,
532,422,611,613,546,502,554,300,657,837,869,290,876,631,210,658,604,833,023,
370,190,606,635,536,961,212,309,554,866,922,502,273,279,739,282,457,355,278,
280,090,028,083,657,743,677,121,604,671,346,706,002,747,864,800,965,966,415,
363,871,995,879,632,083,215,945,688,627,901,331,216,801,878,683,604,593,001,
247,766,111,304,089,251,651,007,577,025,610,325,772,426,912,954,229,797,899,
996,217,501,714,042,706,658,624,603,865,141,711,941,729,732,774,560,566,974,
022,885,089,955,731,681,890,441,696,547,131,088,172,450,912,482,616,701,280,
582,701,763,205,526,046,812,296,602,327,406,587,572,702,858,417,195,114,014,
975,376,069,166,784,745,251,492,987,331,571,593,436,491,209,932,473,913,755,
823,469,621,484,663,350,058,589,720,062,378,952,604,729,649,432,154,283,097,
076,628,443,603,111,188,950,711,455,150,577,767,621,669,819,488,187,723,355,
578,615,277,082,378,799,600,048,430,283,983,860,952,412,018,648,209,036,886,
426,141,968,622,066,541,537,856,295,852,152,215,408,723,023,493,337,921,162,
413,452,949,520,052,421,595,632,599,497,097,907,578,424,636,767,046,351,042,
893,020,447,785,437,820,115,920,078,356,469,959,557,384,837,758,400,663,388,
894,306,756,022,274,664,503,306,993,044,567,815,563,305,127,502,618,064,720,
962,782,295,160,497,553,684,307,626,555,280,753,590,281,707,565,628,663,846,
006,020,408,802,235,747,983,225,101,339,662,089,556,735,595,824,726,617,281,
201,143,329,217,457,972,293,263,934,770,502,508,743,554,770,461,056,682,898,
882,859,071,204,736,594,446,834,252,389,373,912,775,800,988,177,133,278,820,
638,790,014,578,167,341,528,839,802,572,152,521,207,693,634,274,199,197,347,
110,402,031,564,601,722,888,284,327,278,600,739,812,647,751,636,526,116,869,
259,061,027,477,772,146,604,778,014,771,619,210,302,644,853,702,782,014,840,
216,089,651,961,636,533,658,588,053,228,221,077,993,543,090,734,658,589,231,
461,221,221,018,798,861,191,788,188,172,330,144,328,204,278,963,977,457,926,
194,364,004,824,065,147,944,692,038,592,003,303,192,124,128,369,632,293,480,
117,493,472,410,730,011,123,444,754,338,754,127,454,571,931,930,049,266,159,
793,030,280,764,866,764,131,464,762,425,602,887,277,080,191,219,326,312,567,
306,449,218,184,329,948,314,921,867,011,785,247,810,936,737,547,492,553,347,
153,628,761,489,210,281,139,036,311,470,294,433,737,644,131,451,910,872,808,
233,324,094,707,625,155,727,942,503,581,161,023,522,618,635,245,163,294,336,
223,167,581,891,959,603,310,930,969,520,841,986,141,920,655,225,771,615,931,
290,155,465,938,234,509,459,801,447,861,018,400,261,946,842,954,036,180,753,
947,469,861,600,805,668,647,941,246,753,957,236,905,032,170,039,890,759,887,
288,196,540,397,152,243,654,454,894,300,106,905,919,881,715,563,949,250,952,
844,211,885,613,717,203,580,860,354,581,070,864,002,755,134,493,589,834,655,
982,311,666,766,531,758,503,395,926,160,440,432,435,106,851,980,701,358,362,
702,005,004,980,003,137,670,559,812,671,116,336,407,991,408,577,622,415,658,
320,380,817,363,553,670,611,264,721,420,709,314,612,893,394,508,133,921,751,
001,436,369,595,242,070,130,392,687,042,424,988,653,821,900,971,708,796,709,
590,858,717,610,838,553,676,090,309,853,470,228,615,193,585,718,858,200,281,
490,337,798,303,104,040,121,415,880,910,029,555,809,019,055,799,020,345,771,
554,924,003,353,515,698,838,902,366,640,915,922,243,880,503,909,263,588,625,
889,364,628,355,991,912,789,291,711,112,492,724,813,931,789,557,532,762,333,
508,161,096,930,340,958,431,736,650,464,761,290,637,373,021,578,988,651,623,
297,178,993,918,530,843,958,411,482,424,424,011,380,960,093,602,339,753,806,
151,261,425,749,014,231,522,186,692,006,825,925,172,698,658,295,296,558,074,
537,006,206,498,240,288,260,064,302,792,079,255,435,530,383,890,717,860,583,
466,472,822,577,108,026,146,152,920,763,372,411,539,454,561,886,501,153,421,
771,856,144,200,794,025,945,930,632,748,945,970,735,816,337,636,627,048,697,
967,783,253,456,834,641,828,688,124,751,430,693,275,909,490,159,248,507,185,
390,410,524,882,082,959,893,225,581,616,569,147,608,048,389,790,334,296,385,
962,562,809,727,090,747,012,033,686,484,383,515,178,840,894,024,292,581,155,
081,538,699,681,287,312,186,099,626,296,022,939,516,714,239,185,511,340,413,
264,833,693,785,341,414,742,771,356,711,867,144,589,284,216,027,991,126,210,
497,196,639,084,491,286,045,773,467,516,881,121,134,031,737,848,119,124,009,
896,229,823,200,144,860,628,163,219,901,280,561,592,672,385,548,466,682,151,
828,078,979,614,205,594,623,207,053,843,834,961,163,330,480,761,682,748,698,
866,964,566,439,088,528,924,962,457,541,813,523,970,302,117,397,982,344,326,
704,255,581,671,310,903,858,867,499,450,677,481,296,105,672,080,332,634,201,
478,509,673,605,062,435,577,748,529,380,617,831,636,956,270,897,520,279,667,
893,472,704,720,480,753,146,059,487,113,221,337,890,717,049,204,671,675,387,
744,679,442,101,834,468,507,352,072,451,202,367,480,600,438,128,707,309,229,
061,954,887,382,663,565,704,912,100,543,371,770,163,991,901,626,079,401,511,
744,773,864,852,737,048,933,609,291,713,487,733,538,233,281,251,638,476,455,
885,254,540,254,652,951,775,813,490,397,875,116,576,636,316,235,848,849,893,
519,572,779,299,390,557,865,408,476,161,118,810,478,316,767,387,749,274,229,
594,312,322,313,048,668,642,528,346,847,971,829,297,671,869,790,693,264,777,
939,354,628,092,981,704,124,834,386,759,059,625,725,310,435,319,275,724,437,
149,139,004,129,140,168,598,191,360,545,895,876,868,037,120,148,916,121,430,
745,307,554,046,562,281,808,872,849,441,847,197,108,773,930,751,283,438,389,
019,030,670,555,567,092,076,287,723,183,739,691,806,909,269,633,272,522,189,
845,467,730,089,207,198,421,688,451,695,285,028,162,384,804,443,695,521,543,
650,757,036,910,058,372,436,973,444,981,670,562,926,089,710,670,589,993,853,
827,564,440,187,039,853,534,000,896,511,278,746,374,586,109,828,907,730,093,
981,424,365,735,298,498,928,551,757,110,483,861,033,960,474,921,102,720,243,
372,929,782,165,417,844,273,857,680,082,302,626,711,040,310,899,880,530,084,
727,943,579,294,891,684,492,161,085,539,002,971,882,382,895,836,559,841,230,
077,139,057,904,984,310,432,535,902,030,571,568,394,620,960,779,712,753,156,
232,844,547,528,181,217,833,197,389,796,100,614,327,729,555,513,656,359,571,
063,081,728,531,830,639,975,196,701,718,086,953,138,349,957,989,863,042,808,
941,088,972,535,951,524,190,684,859,382,598,555,233,624,510,525,128,002,516,
866,125,195,042,423,167,377,981,959,293,626,972,789,002,353,580,956,401,705,
586,393,233,574,811,474,243,170,016,374,744,875,964,140,661,706,018,776,529,
892,856,042,628,576,048,585,304,951,388,454,533,250,402,193,877,041,318,837,
678,358,575,867,069,066,476,320,930,688,216,203,025,431,659,735,524,506,496,
099,477,106,751,639,411,024,378,080,682,442,222,332,795,306,819,269,912,412,
396,485,220,410,833,609,135,154,659,580,141,796,670,611,595,211,618,614,548,
856,438,577,037,605,691,185,575,440,652,581,067,825,312,748,656,716,590,665,
376,337,746,505,367,183,308,120,528,072,489,837,630,658,309,880,706,035,332,
445,879,180,745,511,024,249,364,786,699,650,935,898,902,248,010,780,766,205,
528,549,685,778,438,869,847,407,331,331,107,611,179,095,088,062,918,170,100,
204,091,859,631,124,642,628,184,498,117,967,036,109,143,694,527,855,505,112,
346,165,715,333,024,038,640,505,708,895,219,864,911,313,812,139,433,787,956,
327,350,789,744,043,029,974,230,303,616,721,821,365,558,133,385,219,332,625,
545,374,709,019,137,933,831,779,187,193,921,842,936,254,143,967,983,437,879,
543,933,147,323,324,098,492,079,386,169,814,615,251,911,028,121,151,821,809,
299,896,659,995,084,735,948,070,062,426,694,269,959,902,738,114,315,341,908,
276,861,567,327,915,166,063,920,762,485,633,229,820,550,778,657,112,732,429,
159,140,932,771,769,295,995,902,255,265,189,937,910,834,791,084,726,098,671,
509,081,057,000,458,766,388,458,818,326,730,169,434,830,022,195,839,604,988,
799,607,627,095,864,677,653,792,243,211,256,152,628,852,480,114,178,899,817,
272,961,455,545,757,154,908,451,104,007,368,445,730,012,328,949,833,395,721,
212,570,100,916,441,753,789,692,475,024,579,609,236,552,609,196,532,100,627,
006,071,294,130,784,202,998,817,114,523,533,613,838,439,880,827,454,647,063,
825,240,095,351,840,398,499,400,682,082,532,911,331,434,449,765,556,758,393,
775,156,006,898,406,695,144,266,299,390,967,438,761,617,576,293,630,392,267,
474,062,214,220,180,888,369,676,089,114,419,613,973,558,892,686,099,328,300,
819,444,199,477,971,855,838,690,883,415,771,865,764,235,130,241,696,858,987,
336,554,126,222,531,732,091,858,459,827,557,752,572,792,790,837,773,089,803,
614,295,287,339,245,097,535,996,768,259,566,668,730,528,801,194,824,268,587,
061,817,620,198,371,019,397,207,015,073,507,402,519,469,938,212,712,109,162,
534,761,019,280,284,912,590,027,839,345,605,809,362,793,856,083,393,144,849,
234,275,750,527,573,937,693,347,160,513,752,777,013,704,918,862,096,509,711,
435,183,540,398,974,491,401,268,727,045,862,145,655,546,486,260,428,074,141,
783,718,117,420,086,042,759,056,232,548,726,156,620,732,560,316,113,802,313,
247,632,537,386,944,133,321,786,017,314,317,478,075,438,588,177,862,824,691,
997,230,875,167,672,610,613,503,982,612,202,812,647,154,169,868,826,516,338,
363,058,587,264,858,612,165,779,824,334,897,987,104,941,093,628,869,500,161,
176,239,997,718,320,918,472,712,254,639,466,490,628,926,882,348,064,304,259,
155,601,620,981,899,705,496,814,749,080,951,578,749,708,466,709,888,940,074,
213,788,447,195,890,137,768,575,148,827,088,293,042,016,202,721,528,775,767,
984,405,204,540,420,494,849,681,356,309,250,020,867,637,412,736,288,738,995,
523,448,824,127,964,945,296,213,781,851,402,046,646,443,998,460,817,720,695,
288,889,778,848,360,378,596,038,708,180,725,102,727,120,348,051,696,853,185,
257,038,404,801,602,780,465,552,111,417,353,479,043,302,151,872,176,915,809,
324,547,534,282,640,280,499,381,982,815,140,540,163,928,132,353,342,540,853,
705,397,942,811,136,340,591,643,462,281,224,564,123,723,456,494,463,617,208,
613,470,956,659,650,009,056,502,894,960,400,280,466,274,900,712,454,974,660,
546,298,655,545,829,715,985,913,849,487,018,018,336,844,688,611,294,807,741,
379,674,022,895,830,049,461,493,654,127,917,113,961,453,188,251,681,944,534,
604,183,417,194,492,945,498,516,877,476,704,479,149,195,016,298,901,826,901,
520,815,661,866,917,769,125,466,436,188,815,601,253,432,840,642,109,901,249,
417,040,327,110,365,271,372,641,422,561,304,381,096,603,854,112,042,974,856,
243,522,976,962,383,110,264,044,229,130,274,141,850,516,086,364,893,127,974,
734,709,918,771,108,355,393,217,761,596,055,339,406,540,037,318,661,516,054,
859,925,328,361,336,533,840,241,998,320,707,802,463,795,076,010,154,849,510,
883,884,941,269,058,729,415,943,573,407,035,147,998,068,600,741,075,279,866,
036,197,635,634,909,764,502,667,268,990,505,684,615,462,522,180,098,509,398,
442,742,845,393,026,808,510,380,666,204,958,561,053,729,345,926,652,043,982,
848,254,418,104,059,545,159,474,455,779,183,540,636,828,263,037,935,878,328,
867,797,297,668,993,197,968,646,214,846,203,371,051,392,054,088,648,526,494,
748,843,565,229,327,547,124,269,035,399,510,311,521,378,231,894,363,268,470,
293,504,445,880,503,552,167,501,479,723,650,813,201,121,913,982,465,346,681,
618,707,083,322,466,444,309,557,809,319,182,070,590,514,327,855,642,946,847,
217,499,209,945,806,303,571,076,125,102,012,462,683,871,327,113,584,853,917,
009,584,601,610,379,540,350,439,671,804,291,131,546,178,431,899,686,605,527,
271,704,680,772,392,940,328,291,744,796,422,587,394,087,979,136,745,685,967,
830,397,450,592,089,969,271,034,805,394,787,193,643,032,155,887,324,254,111,
405,149,718,080,487,822,699,813,790,906,351,915,293,125,037,673,389,162,792,
278,135,320,885,216,397,244,934,327,485,854,555,502,203,308,860,020,685,259,
892,800,779,901,410,928,974,336,264,399,344,327,115,998,455,173,039,162,157,
164,412,049,627,464,349,109,824,024,573,017,434,412,298,410,050,844,120,122,
054,266,567,435,748,002,356,310,503,013,332,247,377,791,445,949,162,681,343,
345,317,136,643,815,270,281,886,989,742,079,620,347,050,962,976,752,479,191,
333,268,704,913,736,278,548,819,725,734,660,044,551,634,874,751,424,373,986,
478,207,404,069,147,351,202,024,796,250,490,664,282,560,835,770,350,925,174,
566,061,751,674,423,952,954,668,907,054,659,184,405,753,218,860,849,126,297,
263,470,350,828,268,116,495,481,263,372,661,344,244,549,881,574,516,569,608,
792,992,572,710,297,550,668,196,333,668,735,054,409,062,720,080,491,078,453,
803,925,206,688,542,428,609,202,925,266,338,915,436,517,651,076,624,257,694,
468,029,248,333,449,355,042,815,230,546,596,070,366,955,245,598,286,343,668,
391,066,779,617,315,997,998,181,556,980,277,603,424,138,892,267,378,693,325,
241,493,990,442,816,035,629,389,981,220,773,662,204,060,694,851,433,101,256,
470,374,567,466,509,296,213,636,883,319,162,491,123,692,154,964,422,710,571,
245,933,597,295,479,847,334,249,346,818,266,969,919,187,617,047,987,857,366,
510,907,320,441,089,741,140,026,358,402,058,838,281,914,348,623,732,873,819,
873,978,566,534,655,498,039,323,379,004,635,624,665,643,835,044,527,225,544,
173,001,713,730,714,327,294,100,932,357,225,099,160,413,190,379,067,211,849,
034,807,777,134,838,002,376,340,018,007,656,012,427,515,062,881,484,356,902,
082,169,167,852,469,005,891,013,359,139,885,161,098,646,897,449,686,938,492,
502,574,897,626,458,922,430,194,177,683,756,621,305,595,426,091,791,824,853,
406,137,391,298,026,128,680,180,447,970,802,969,860,628,925,202,683,934,968,
641,055,664,063,875,844,017,425,534,756,688,067,230,408,358,623,055,495,944,
606,322,859,959,523,392,438,332,708,508,312,812,136,610,359,577,949,230,369,
324,493,456,578,733,048,518,550,867,257,687,141,847,024,846,976,536,640,635,
172,994,499,852,350,421,594,656,219,703,144,952,251,136,188,435,182,042,979,
809,537,548,081,497,190,470,017,303,772,305,355,643,751,317,469,346,578,204,
984,014,826,734,074,404,147,055,483,477,419,568,761,874,460,577,024,111,496,
121,144,213,779,396,473,971,510,783,273,119,293,051,233,711,308,879,747,286,
258,544,975,566,619,063,655,411,429,124,439,141,496,780,636,472,670,642,478,
001,402,357,041,246,496,846,799,823,762,135,466,008,784,439,551,463,122,730,
297,919,762,463,482,250,308,034,511,637,610,388,198,325,911,618,229,368,971,
518,029,593,904,476,606,293,049,454,856,507,134,961,456,860,928,351,879,414,
145,616,160,313,040,354,364,781,035,835,892,253,911,561,927,942,824,162,110,
068,230,048,526,625,106,672,660,695,904,117,708,605,131,887,615,563,164,453,
301,153,805,469,732,928,280,444,173,799,815,613,774,068,806,409,622,472,538,
946,485,909,030,519,037,336,089,863,864,808,689,622,944,605,477,185,980,270,
175,334,948,838,647,750,249,046,160,402,054,792,499,747,300,203,241,839,394,
814,937,101,941,619,414,645,456,624,647,560,147,051,214,364,948,277,964,281,
871,835,811,086,799,424,405,302,378,857,179,767,895,620,830,695,352,857,704,
809,954,852,546,268,100,040,355,914,113,456,302,509,903,243,633,703,751,973,
251,185,582,882,209,602,039,327,067,713,408,079,847,657,492,927,019,929,902,
437,921,040,444,130,394,421,299,966,054,758,791,136,511,588,029,586,335,434,
362,158,139,285,406,792,792,183,453,923,228,863,942,521,508,934,822,505,105,
050,222,952,105,614,760,384,480,759,182,387,154,384,342,864,098,069,229,207,
703,353,308,862,732,006,124,625,244,485,588,868,875,481,047,472,168,245,611,
735,569,546,120,295,242,604,764,440,665,278,552,416,205,093,202,197,893,415,
590,697,789,058,696,165,607,374,340,738,656,149,241,813,517,019,340,504,121,
710,309,702,863,455,351,286,904,330,701,116,615,030,637,282,374,083,848,107,
447,270,073,266,132,524,615,064,411,968,943,618,541,053,449,756,836,213,946,
661,757,544,559,370,275,087,448,710,918,476,562,898,953,405,158,044,387,530,
932,740,829,317,601,563,806,022,793,519,165,179,063,293,675,214,243,801,900,
920,269,784,101,584,540,783,265,539,153,582,073,677,742,063,776,012,180,841,
217,185,374,044,553,385,600,952,434,146,659,989,550,628,987,252,786,567,753,
158,405,361,422,259,165,323,505,433,162,635,025,226,007,036,756,636,583,282,
863,617,133,377,506,339,816,143,239,749,828,275,928,720,385,754,824,040,344,
850,913,611,691,608,915,922,712,161,224,675,408,993,013,906,330,360,449,090,
880,608,965,724,072,253,621,106,070,392,495,225,795,368,871,937,516,210,003,
771,540,918,161,020,615,912,449,455,014,158,799,367,849,052,074,628,484,513,
517,258,057,061,139,265,364,981,466,116,028,563,188,648,440,473,397,757,936,
682,432,902,371,005,574,690,792,042,623,189,956,071,224,517,474,182,640,900,
436,420,191,717,639,581,593,799,362,788,441,794,711,650,948,550,019,401,415,
501,195,747,168,474,495,449,733,838,586,215,799,594,551,007,783,028,305,308,
489,545,105,211,286,128,340,265,837,780,585,288,253,839,299,010,790,552,273,
284,944,445,984,988,426,269,360,252,923,026,289,664,752,240,268,589,727,690,
568,673,261,030,471,343,653,764,116,149,638,472,549,729,668,310,928,700,930,
697,727,898,657,556,599,713,474,090,881,316,331,171,897,970,025,967,781,419,
995,373,507,401,522,319,196,008,794,949,394,747,597,691,211,217,439,630,850,
657,777,448,724,766,875,879,331,211,322,064,393,542,354,487,712,009,694,499,
261,780,683,249,825,503,635,342,306,498,377,917,964,430,722,443,457,514,432,
058,547,664,428,621,976,421,994,938,387,759,939,786,735,168,679,541,625,220,
682,112,444,176,350,570,526,494,110,241,073,468,951,604,865,067,625,706,086,
210,738,564,206,518,790,803,810,891,712,183,773,330,869,953,980,636,846,945,
476,805,302,714,446,087,868,882,716,517,730,130,980,448,584,607,936,658,181,
940,636,237,273,598,892,624,412,998,461,933,316,503,890,992,563,646,725,000,
299,575,032,851,767,701,976,847,975,697,273,736,562,392,765,149,902,967,909,
036,584,221,089,459,960,461,115,651,500,813,568,454,010,689,771,849,206,340,
855,902,413,804,591,157,555,215,530,465,187,797,697,805,185,400,019,703,898,
301,941,857,878,822,220,330,046,755,717,688,483,085,511,356,967,124,501,193,
959,812,524,616,525,446,877,874,188,615,295,346,084,658,960,586,977,619,143,
592,176,340,855,051,671,993,427,308,717,187,469,583,413,536,233,300,575,390,
571,924,041,692,289,910,016,252,356,811,641,693,725,453,304,389,276,753,004,
453,294,377,259,382,289,716,841,125,295,029,003,495,477,125,770,974,568,907,
201,965,205,169,853,827,491,830,158,438,625,273,225,822,892,542,934,305,668,
653,830,665,087,673,027,624,645,658,322,484,916,809,426,894,994,511,423,058,
174,490,704,808,452,324,325,621,644,083,350,055,740,915,434,780,087,994,850,
687,956,890,933,669,722,072,863,721,513,723,408,104,326,759,126,707,295,585,
834,212,468,035,598,555,852,116,549,238,134,511,988,970,367,851,465,532,051,
784,551,894,060,330,223,578,031,634,089,892,825,589,918,510,276,025,675,883,
529,288,521,959,485,647,411,138,508,852,402,606,750,852,522,714,835,554,073,
097,397,379,243,031,998,709,136,427,708,464,445,672,631,806,587,466,090,366,
078,496,250,915,594,950,156,161,773,487,635,870,435,116,391,792,162,601,480,
114,864,909,918,665,787,161,782,441,050,164,868,694,024,519,708,086,029,571,
712,828,409,967,936,427,069,970,779,293,597,295,949,453,725,975,994,675,380,
427,816,383,902,858,941,172,946,386,975,056,895,021,314,143,518,654,081,667,
693,006,538,645,174,628,813,864,901,860,487,799,587,115,917,152,923,806,187,
145,268,922,137,230,277,657,401,723,101,157,597,555,004,548,003,367,318,194,
633,920,583,709,994,747,303,493,892,186,219,246,254,873,863,883,211,115,296,
815,300,852,831,060,582,153,588,099,854,194,719,275,361,901,960,340,304,416,
875,479,003,991,572,869,132,545,413,137,220,508,402,302,247,677,281,359,796,
391,736,715,759,083,675,927,398,588,680,409,238,907,496,043,823,320,454,692,
243,605,331,669,543,913,194,786,937,430,948,596,746,585,060,622,928,106,737,
198,669,158,854,599,849,582,655,427,214,943,380,673,392,661,064,907,238,613,
520,514,586,702,160,630,317,570,334,685,807,319,494,969,002,463,657,006,806,
863,266,120,621,756,310,166,987,423,439,218,726,164,366,015,965,669,439,985,
374,689,464,752,930,314,883,783,025,843,362,151,436,482,029,734,141,711,865,
002,638,854,375,844,990,409,043,534,817,662,836,627,053,778,434,557,841,868,
517,596,526,904,416,409,097,533,089,950,935,336,620,976,224,805,543,559,342,
609,182,188,141,932,101,970,792,760,624,698,530,991,621,860,828,099,441,391,
765,391,395,260,256,091,011,523,209,189,557,102,442,148,838,177,234,046,822,
375,503,227,079,212,269,178,892,634,872,685,455,941,859,247,636,769,822,811,
647,490,929,396,404,638,409,124,471,089,766,723,226,781,784,778,453,710,777,
430,715,002,857,209,294,312,963,552,615,219,397,097,081,410,047,030,607,266,
583,945,874,338,637,332,545,850,522,056,949,337,682,265,655,271,271,929,684,
932,175,525,852,606,141,327,558,293,051,410,182,722,768,790,239,514,071,941,
957,379,320,824,191,067,361,302,832,086,869,446,130,865,916,355,682,258,439,
523,458,871,466,409,135,872,734,733,083,543,173,946,729,552,486,575,113,222,
303,585,293,570,285,188,968,978,865,796,233,323,363,203,994,215,332,348,290,
836,065,023,264,087,853,278,582,839,430,531,907,493,080,676,724,557,929,619,
879,845,295,056,947,386,833,996,149,107,430,648,820,297,028,947,115,397,869,
008,213,321,289,457,127,060,838,804,665,482,055,692,056,074,643,950,067,406,
624,133,008,167,591,278,732,657,060,128,815,020,364,149,741,575,154,038,435,
679,366,814,659,521,021,546,582,903,630,657,271,212,790,976,956,115,678,065,
050,338,863,847,944,454,904,686,046,600,296,470,982,599,508,649,207,333,804,
108,934,227,114,939,563,770,992,373,827,797,022,424,837,134,182,884,935,518,
006,323,631,473,746,155,130,844,376,669,485,940,832,119,664,019,504,848,717,
025,861,154,568,544,691,168,741,456,774,821,007,626,614,607,892,353,950,504,
503,040,035,333,644,467,104,683,116,555,024,979,568,910,989,093,595,201,417,
504,450,570,220,050,771,588,198,480,671,769,155,088,256,265,092,243,637,117,
073,308,289,860,023,082,892,025,353,767,060,688,857,531,338,937,064,017,333,
097,784,679,016,822,883,492,583,021,338,038,418,168,543,194,333,162,214,165,
271,778,891,387,384,799,317,655,109,215,159,155,705,237,908,411,772,870,080,
590,955,118,434,907,302,154,745,137,130,691,260,135,435,878,644,659,594,277,
365,480,860,305,053,342,747,715,491,598,199,391,808,782,536,509,770,303,889,
901,307,654,356,003,623,434,593,543,503,709,729,659,904,881,149,829,576,356,
565,200,107,867,371,873,912,066,819,048,335,537,721,956,290,038,693,319,100,
217,715,493,576,347,306,470,016,842,897,655,074,534,881,961,975,332,680,790,
273,018,047,358,695,905,272,781,616,041,565,195,513,291,878,652,822,430,762,
123,432,833,931,843,949,841,329,801,196,791,493,385,241,975,612,167,538,190,
038,293,698,183,515,602,123,178,723,944,342,263,434,740,295,360,982,603,129,
245,558,856,455,464,307,822,417,278,399,948,230,747,033,340,323,523,168,237,
992,244,817,273,190,617,503,932,206,664,549,290,107,541,515,624,627,697,149,
269,625,876,330,596,269,955,565,793,182,045,701,680,946,829,128,608,198,473,
817,223,680,524,245,914,664,031,606,217,968,388,205,937,093,670,678,946,699,
148,047,717,814,906,213,204,240,357,657,325,226,937,734,280,022,296,089,907,
303,738,725,144,041,466,070,627,556,059,570,035,840,670,168,627,220,474,092,
829,412,522,063,233,688,686,050,378,235,095,773,544,316,703,280,727,183,932,
526,462,172,315,026,070,881,741,072,690,959,234,432,449,492,132,267,817,909,
959,590,933,002,790,358,241,423,695,020,089,066,494,379,674,821,866,956,413,
970,637,542,703,013,942,615,181,362,452,514,599,241,369,571,312,453,403,113,
538,905,954,366,491,501,880,557,038,471,948,240,601,516,467,234,344,436,873,
613,608,062,318,734,463,219,702,130,418,412,855,612,396,978,848,511,199,945,
929,049,313,953,099,497,069,706,478,427,386,536,385,998,150,422,776,411,141,
150,159,446,672,269,024,276,302,176,908,886,956,524,362,842,184,439,849,378,
397,985,772,199,381,123,747,556,411,949,036,723,184,015,853,978,615,950,230,
514,709,202,615,393,666,757,397,286,585,286,614,595,886,883,225,990,754,324,
159,744,595,187,934,612,501,476,737,441,943,862,212,937,704,616,214,998,442,
046,746,978,409,096,913,751,912,463,111,003,263,302,180,986,704,615,823,686,
332,582,511,653,019,581,957,290,170,988,577,307,597,437,026,612,376,487,572,
173,771,349,038,397,484,161,929,423,164,082,615,847,617,119,023,285,632,658,
489,861,850,778,696,336,910,877,770,203,747,290,057,887,316,422,452,948,168,
969,646,538,580,043,923,306,420,259,660,825,836,396,952,850,827,785,161,364,
781,483,063,936,562,716,825,989,006,276,474,983,996,316,153,321,166,679,841,
656,372,026,726,294,110,870,339,516,259,233,200,854,701,112,036,605,328,232,
329,071,227,672,428,373,989,122,398,654,470,792,918,020,673,649,616,965,026,
381,345,762,611,137,445,348,551,465,185,732,343,479,251,966,972,545,098,773,
671,139,416,640,551,787,392,350,989,818,311,933,306,143,036,295,360,545,711,
227,600,827,244,725,160,184,862,950,281,187,062,717,529,593,161,983,574,607,
595,970,282,919,359,091,738,649,801,701,969,672,268,451,685,157,739,412,777,
096,549,732,171,707,581,267,698,032,893,041,493,097,994,710,643,376,188,594,
223,766,634,035,956,747,538,684,280,325,302,661,529,219,447,465,505,548,965,
941,583,977,762,731,521,726,103,229,922,778,757,575,478,392,749,990,143,205,
898,128,300,574,265,454,986,805,888,580,386,469,315,741,359,854,456,502,157,
882,232,318,781,197,875,456,127,341,697,302,097,545,814,417,639,174,057,882,
067,031,237,283,081,134,154,852,322,785,278,095,545,449,760,633,730,024,614,
925,396,897,106,198,018,959,863,071,029,556,827,800,062,588,036,793,088,810,
795,331,402,512,183,417,155,488,466,331,164,681,739,637,139,027,568,182,302,
923,371,970,673,554,988,805,894,605,536,805,856,577,046,369,102,203,569,924,
783,786,115,518,278,663,259,417,267,977,845,601,651,879,581,614,939,927,322,
089,707,308,986,842,471,686,998,572,296,579,294,432,960,073,687,450,866,680,
418,484,230,103,775,350,983,898,012,380,555,097,647,561,999,696,550,551,958,
765,464,808,304,830,678,089,683,011,857,374,399,283,535,312,070,958,588,785,
485,981,390,245,821,163,219,282,179,403,882,965,315,684,469,307,473,647,645,
211,885,419,154,059,918,373,302,667,936,238,746,845,883,558,475,505,195,432,
431,795,058,361,033,461,724,715,051,475,001,715,247,449,108,694,754,605,933,
482,857,500,568,455,984,354,724,593,808,561,179,542,363,825,172,942,078,610,
304,215,933,750,836,446,333,985,228,368,054,879,112,203,197,460,367,934,548,
219,943,140,241,797,392,771,974,657,052,463,311,761,026,642,216,493,112,974,
284,320,039,364,939,485,097,570,256,064,347,164,043,532,581,692,320,252,235,
590,713,833,342,232,901,885,001,413,388,351,286,617,487,856,807,336,514,681,
444,114,381,919,475,860,866,860,656,572,855,273,522,882,955,555,641,648,175,
093,270,738,642,428,276,743,475,281,641,163,558,388,959,399,986,744,594,906,
506,960,577,649,551,286,257,339,383,615,874,653,252,594,180,420,074,438,077,
075,620,401,321,569,908,374,861,851,648,712,840,720,398,835,040,532,739,333,
304,810,534,449,508,015,167,775,524,408,687,730,233,318,725,438,110,297,666,
428,336,721,341,900,913,430,587,243,831,805,133,805,857,646,500,045,838,448,
061,092,973,008,855,911,091,255,417,820,597,275,584,083,464,696,413,754,617,
070,159,474,028,474,962,971,341,784,001,390,716,942,388,504,439,391,209,348,
345,918,140,128,050,386,431,348,728,895,719,800,055,782,277,485,475,317,688,
660,163,986,126,562,747,830,226,963,562,998,786,683,900,806,755,906,463,834,
170,507,281,225,113,266,586,160,285,693,233,218,944,653,022,865,493,781,851,
307,744,391,367,164,848,406,398,054,076,901,104,049,691,784,912,932,146,822,
360,336,961,353,149,828,329,331,417,439,093,109,690,449,876,273,683,746,776,
050,851,161,661,929,976,477,506,454,732,675,503,758,263,417,108,050,997,463,
255,277,569,668,486,510,927,965,312,265,826,576,451,845,559,739,734,953,125,
285,475,804,049,367,955,449,904,458,179,847,101,817,998,429,593,328,696,785,
520,913,941,349,481,967,338,144,138,486,887,661,345,796,761,438,799,959,561,
405,308,127,233,245,131,179,718,943,868,391,411,264,518,139,196,733,249,759,
606,072,752,891,922,646,997,073,174,910,900,727,716,339,135,688,991,168,280,
022,621,878,997,184,356,352,177,924,783,685,617,845,350,471,886,760,010,719,
924,613,747,840,374,235,644,948,866,580,016,595,215,054,670,526,522,396,113,
308,065,432,943,275,861,995,301,293,330,925,081,495,943,895,669,204,097,089,
065,601,283,620,157,414,284,591,353,280,779,223,061,918,446,331,380,511,301,
652,920,612,799,380,023,357,981,385,861,668,030,473,782,913,703,419,335,779,
848,521,514,275,571,853,632,291,749,456,887,331,726,701,340,834,578,599,272,
152,389,110,729,265,248,787,743,147,084,533,440,536,560,822,123,010,361,042,
923,979,451,958,207,301,761,281,644,640,544,300,580,108,028,051,261,587,995,
238,825,420,741,234,225,979,415,706,401,214,201,198,247,434,662,207,730,661,
017,654,339,846,907,688,979,147,985,267,906,461,230,967,127,100,043,836,854,
811,715,483,032,572,267,546,079,117,803,553,529,460,690,419,622,260,997,052,
695,671,447,527,609,959,201,251,222,856,701,724,001,884,274,270,415,448,676,
636,345,850,990,876,628,612,060,222,271,386,417,366,345,141,489,423,405,687,
447,092,903,581,656,351,194,913,268,758,879,001,567,909,772,120,820,454,098,
851,232,943,413,497,146,228,534,759,493,394,662,294,791,880,146,318,435,713,
256,829,174,666,508,749,168,811,088,151,917,365,433,081,300,354,028,604,982,
548,015,149,504,129,854,649,698,265,705,306,134,778,971,422,040,155,798,883,
895,569,140,266,765,841,979,388,323,214,082,630,090,965,051,279,395,500,695,
323,200,476,957,331,263,320,255,156,627,741,365,988,392,919,719,534,947,882,
557,254,203,166,800,202,360,514,479,434,240,752,861,132,400,751,571,752,646,
736,799,358,940,339,251,742,989,856,224,337,354,398,265,218,670,899,893,290,
703,530,539,669,250,294,315,216,451,625,806,181,155,634,905,517,274,978,416,
374,360,365,945,007,429,798,197,364,420,473,557,371,385,934,394,477,807,548,
024,609,215,767,058,864,635,371,734,501,300,612,298,768,789,316,970,280,648,
531,823,166,138,222,580,059,439,970,530,432,158,097,494,300,163,266,133,896,
554,780,567,161,803,158,551,259,858,911,198,630,741,848,835,194,084,731,110,
573,001,901,645,964,910,550,395,376,912,975,750,986,966,528,898,541,860,181,
856,912,185,838,714,420,396,008,797,813,304,371,824,811,982,169,351,902,111,
196,723,808,176,999,753,402,530,200,899,410,007,873,557,442,791,181,627,022,
435,449,551,697,339,583,355,157,047,091,130,696,628,295,964,385,709,435,262,
586,883,269,258,263,129,951,002,150,694,340,317,328,365,155,794,339,108,937,
038,029,578,048,916,888,497,150,511,398,675,712,543,268,822,490,329,975,354,
109,163,365,263,290,793,981,948,135,729,449,568,895,558,227,274,745,407,842,
366,374,819,064,300,551,416,801,314,710,457,306,804,742,691,350,877,304,411,
335,928,933,612,962,164,837,477,295,425,385,346,383,594,199,827,981,135,179,
772,973,999,911,953,399,156,584,725,545,343,854,182,314,853,647,007,244,887,
959,389,600,941,340,605,793,840,563,744,369,972,447,412,629,153,680,104,452,
732,266,278,570,012,912,854,826,586,197,346,353,738,513,277,412,964,623,519,
169,377,388,894,738,733,890,638,481,370,285,819,629,239,516,694,850,325,848,
802,635,970,059,635,153,208,931,811,346,464,381,031,506,008,966,422,333,250,
433,447,962,533,513,373,015,973,944,506,229,587,214,409,617,702,874,731,422,
987,674,552,801,936,385,522,596,599,907,099,952,382,512,547,144,737,319,595,
996,978,025,067,607,059,179,923,811,185,519,733,267,550,304,118,430,663,360,
502,487,779,330,749,558,921,597,229,735,424,094,639,138,596,596,244,251,912,
693,107,860,458,886,132,519,494,833,669,511,716,718,301,873,930,308,225,857,
784,133,378,037,186,023,233,923,034,156,304,404,571,784,049,523,674,014,917,
723,608,157,493,547,084,520,584,349,052,870,472,363,121,639,207,311,757,977,
857,867,375,538,740,000,246,807,740,528,061,564,522,061,499,659,127,333,883,
254,071,761,787,585,476,633,046,444,850,389,779,957,680,576,901,053,602,413,
227,076,500,988,545,221,854,056,106,447,518,043,592,430,351,242,475,391,702,
658,166,443,608,273,768,424,452,665,084,546,407,357,132,954,372,465,218,568,
491,344,667,787,628,016,176,034,212,477,436,109,681,965,751,662,878,472,935,
613,059,174,552,685,433,433,223,351,846,834,994,135,361,794,048,177,030,469,
449,716,168,241,826,794,102,533,768,311,078,509,389,245,509,738,694,286,503,
523,568,739,424,641,310,971,497,935,481,805,265,259,259,980,596,759,322,775,
853,813,877,402,640,309,698,706,854,613,938,350,138,154,899,615,563,121,617,
680,285,209,931,066,974,619,904,552,876,569,696,303,293,670,181,394,950,307,
362,453,946,498,508,606,473,406,795,004,950,366,875,917,520,932,670,358,302,
899,038,614,826,920,115,691,013,278,960,684,143,642,971,865,453,542,731,679,
863,643,645,821,349,971,160,001,816,113,816,549,710,557,474,866,339,825,305,
191,818,969,439,472,363,129,372,268,531,600,553,165,326,662,051,151,180,745,
792,588,536,850,310,629,951,983,017,066,867,224,848,901,824,377,527,857,614,
052,272,683,763,062,461,612,173,789,307,435,575,448,240,800,504,841,735,635,
739,512,354,962,508,768,951,470,664,411,183,800,613,146,068,493,584,692,524,
192,470,412,862,627,310,104,958,386,117,965,183,433,091,426,114,901,113,835,
275,358,083,471,819,640,759,686,431,097,945,077,132,836,792,735,712,439,910,
534,557,798,971,049,019,847,774,022,184,796,822,965,210,938,264,110,005,429,
292,346,222,950,336,191,886,770,208,799,992,740,881,263,533,980,088,985,378,
716,896,642,374,983,587,432,096,112,071,360,230,640,766,710,301,990,617,629,
720,147,996,162,768,788,424,190,718,771,403,579,245,098,093,568,980,558,665,
406,201,319,050,472,369,571,972,397,890,713,205,312,527,926,034,322,077,001,
924,541,348,459,083,227,100,896,831,590,111,073,024,785,328,413,047,514,847,
672,192,919,215,787,170,220,244,478,192,199,017,457,131,096,534,802,828,494,
807,460,237,093,139,114,792,745,268,978,310,124,124,891,365,517,333,432,481,
587,323,298,812,143,495,142,371,730,872,417,821,556,541,478,091,689,800,232,
773,666,954,521,233,367,789,455,793,171,051,647,366,958,259,706,045,902,787,
304,339,033,103,560,024,666,758,009,385,395,053,660,275,124,176,950,998,299,
615,226,126,046,389,373,297,886,717,605,464,734,949,966,163,519,972,259,746,
346,241,239,133,887,439,100,545,621,950,772,516,022,360,636,359,964,789,120,
273,733,416,906,081,574,521,270,261,661,534,131,934,685,624,136,343,020,118,
125,781,463,148,543,916,161,797,656,238,833,601,950,230,706,607,011,643,181,
148,488,686,327,386,883,554,892,215,772,222,284,394,471,165,946,729,460,077,
002,578,365,855,172,322,092,370,540,900,566,356,332,211,077,014,184,278,941,
905,973,815,205,662,795,041,883,559,012,708,259,787,140,271,379,509,874,986,
675,865,859,888,221,648,049,563,947,612,337,559,917,855,355,051,710,220,429,
416,558,394,844,743,731,290,711,986,326,938,194,665,870,591,874,326,837,253,
619,373,483,800,201,703,266,941,175,019,302,292,064,937,685,759,668,557,267,
532,447,255,419,318,983,009,671,739,627,065,556,033,677,671,018,239,033,126,
035,498,373,618,462,584,777,981,412,514,288,017,788,471,669,559,465,254,548,
832,440,675,783,215,984,854,192,983,051,019,535,812,217,314,500,794,163,938,
110,865,523,092,104,820,156,721,607,338,887,453,435,303,472,841,049,817,783,
042,144,953,243,250,830,109,656,098,241,708,203,404,344,782,658,069,727,239,
703,319,655,327,870,644,785,921,797,496,148,148,951,024,634,941,220,806,180,
613,051,187,986,582,154,570,827,275,597,100,934,266,666,379,269,656,003,679,
578,698,359,714,196,291,543,949,866,339,709,748,728,074,140,833,000,868,060,
033,363,234,933,072,299,622,966,113,515,298,505,118,671,515,408,437,437,295,
897,735,740,806,173,409,015,994,595,346,350,479,195,330,086,195,460,678,205,
419,213,520,488,614,222,740,048,690,151,537,135,799,683,433,335,786,236,120,
248,270,702,398,708,967,810,670,945,286,297,647,272,511,313,317,240,230,243,
569,757,140,163,301,827,271,095,405,674,504,341,144,307,306,451,786,452,901,
012,655,871,551,098,039,464,806,504,184,977,403,004,285,171,645,078,930,800,
687,839,715,172,024,339,822,643,624,746,906,777,819,184,137,972,973,162,357,
170,555,804,923,606,194,182,274,472,135,604,624,426,764,324,480,877,028,191,
079,398,892,468,796,487,029,515,682,705,300,594,625,915,085,152,270,941,296,
912,580,347,462,807,356,773,484,919,692,128,433,312,092,931,783,145,220,107,
156,839,426,433,012,968,129,108,729,072,281,646,182,934,875,960,398,426,157,
119,630,338,396,527,080,310,360,897,909,521,607,983,035,974,986,930,760,995,
361,285,836,141,357,717,751,701,730,206,819,677,321,105,057,173,385,939,313,
716,179,147,982,645,062,872,014,108,193,686,995,375,835,750,604,421,432,837,
925,403,604,379,087,256,626,788,087,431,371,456,528,214,545,528,759,865,933,
202,203,814,442,602,038,508,352,976,742,978,120,896,067,494,949,944,680,628,
262,553,951,229,826,707,991,720,770,938,095,673,306,856,732,624,506,500,596,
825,697,073,487,760,027,051,922,131,480,450,120,086,501,422,572,494,150,433,
248,783,528,860,512,249,369,534,407,134,615,731,857,338,132,177,967,249,668,
114,780,842,003,694,658,250,321,228,311,933,300,150,347,151,431,074,575,306,
790,524,074,831,726,627,583,393,060,540,275,034,139,878,151,599,473,406,428,
708,551,715,520,293,260,060,982,222,861,331,147,726,491,904,591,520,094,164,
868,865,330,933,052,707,605,641,162,419,905,415,007,144,589,048,434,499,794,
964,051,496,458,251,532,772,894,215,597,434,297,734,789,142,563,349,181,964,
644,588,310,880,070,198,051,680,530,871,636,301,547,535,636,047,881,599,965,
945,414,865,997,800,573,626,898,505,757,385,389,585,210,123,181,729,066,930,
001,994,456,374,648,654,448,710,918,300,966,252,631,947,304,506,069,820,152,
729,075,017,681,250,586,232,830,098,955,386,160,921,606,330,538,275,148,196,
540,699,687,245,345,104,692,565,498,076,940,037,866,126,116,658,041,286,747,
000,741,620,510,334,140,557,602,765,372,925,477,541,318,505,701,280,310,714,
836,661,611,656,116,550,510,726,448,289,776,703,558,456,233,598,312,330,040,
852,835,316,912,279,882,697,912,735,382,659,955,510,472,650,467,948,224,384,
300,920,057,308,368,375,949,038,703,410,460,625,625,866,686,267,911,884,666,
775,629,859,434,581,708,279,993,980,654,615,188,661,404,322,462,182,814,804,
930,528,655,669,843,900,377,948,356,516,076,010,688,889,314,634,342,534,108,
827,993,572,711,615,519,641,684,131,743,090,940,506,833,827,488,323,578,922,
549,811,322,431,083,937,104,336,699,836,886,006,765,479,996,567,600,915,722,
812,835,954,083,858,618,883,190,960,234,198,567,039,071,777,380,254,060,547,
105,153,555,762,435,349,599,699,969,298,019,690,232,176,350,291,892,100,053,
752,883,182,748,270,198,080,216,346,649,125,307,134,206,728,512,430,433,844,
421,530,657,352,928,169,187,979,537,252,011,407,167,634,858,019,499,871,798,
270,226,678,201,559,516,294,642,788,471,785,728,646,261,534,376,240,506,171,
357,328,729,685,956,905,886,152,035,350,904,525,299,329,006,619,936,513,698,
086,684,317,623,085,862,695,266,299,499,286,989,751,742,934,033,895,003,446,
808,225,440,717,527,502,447,000,022,843,416,871,985,702,735,334,374,703,321,
748,010,582,693,105,262,773,732,421,449,868,331,737,617,412,670,355,180,728,
339,072,161,087,558,384,909,337,406,972,806,299,091,682,916,602,214,381,006,
905,389,016,511,906,306,171,488,154,370,098,217,558,300,509,270,872,940,950,
063,862,231,253,511,054,674,699,972,500,557,999,365,492,000,696,114,207,152,
389,448,049,530,924,962,443,353,013,422,255,732,460,084,338,197,594,412,006,
158,202,974,392,269,338,258,034,985,711,661,344,954,996,268,832,897,161,795,
979,012,803,342,691,793,939,815,405,890,170,338,231,421,097,279,433,474,938,
354,635,121,662,725,430,155,713,008,823,557,701,238,875,909,627,843,002,819,
016,770,253,993,243,000,408,503,683,698,926,151,263,714,470,393,178,541,975,
547,757,194,325,588,477,631,206,438,619,511,776,236,360,616,156,127,977,569,
938,428,294,646,230,759,239,962,968,985,118,328,128,782,236,876,317,208,925,
113,535,831,939,285,922,872,973,255,753,550,004,374,447,114,387,560,403,651,
214,089,384,982,974,341,872,749,101,462,648,060,556,260,550,303,996,748,239,
887,120,856,094,659,418,493,238,983,752,095,878,310,734,610,850,714,254,477,
604,065,245,861,728,548,151,364,207,411,283,273,043,111,678,639,465,716,143,
968,743,212,847,064,463,379,254,188,412,966,057,261,805,905,193,966,445,413,
920,754,899,628,061,096,476,796,142,949,506,964,578,659,166,348,210,941,300,
843,845,530,819,872,401,965,093,572,772,170,674,850,581,279,216,311,197,940,
450,031,562,976,270,858,959,977,511,029,030,240,756,901,490,911,062,899,393,
926,146,462,508,262,883,266,209,737,210,589,872,144,684,085,030,260,403,218,
615,815,845,406,808,998,109,992,649,785,205,453,026,763,207,570,990,023,293,
914,284,559,522,866,520,904,862,445,497,232,784,190,080,921,345,527,083,715,
815,107,885,038,899,608,908,817,022,984,405,461,947,780,493,385,039,463,801,
792,710,190,693,930,634,926,336,703,165,937,491,140,777,253,788,473,519,998,
754,027,021,751,589,162,303,771,734,913,491,634,455,248,250,572,634,409,833,
372,727,423,155,882,987,860,933,216,280,771,093,437,386,942,674,048,590,811,
494,307,971,338,274,664,948,227,358,797,983,890,327,920,998,634,772,965,930,
775,489,581,193,748,974,781,913,085,696,869,149,696,634,310,121,368,001,686,
932,594,491,572,713,699,339,049,443,977,134,141,135,716,900,978,683,632,069,
836,739,897,286,730,286,931,149,057,608,834,371,399,234,206,609,254,576,379,
057,542,610,074,167,372,685,406,978,100,863,812,720,908,344,474,038,844,918,
832,058,002,984,670,349,973,830,599,954,257,048,667,180,030,274,853,326,413,
842,502,677,385,344,307,690,806,497,039,726,286,696,118,673,144,579,866,562,
530,757,581,808,962,918,070,042,291,374,594,884,224,302,886,196,073,196,583,
289,436,178,004,082,011,885,889,735,432,858,934,284,581,900,473,766,553,550,
433,944,185,486,875,058,246,757,305,905,372,306,502,233,763,066,533,209,938,
744,660,577,293,106,264,950,928,184,627,989,819,895,406,750,254,487,961,073,
974,821,227,136,997,756,940,549,800,728,042,924,433,029,612,853,815,653,185,
500,957,595,902,968,900,091,994,775,865,536,164,438,888,068,835,482,074,806,
035,094,034,095,542,072,796,248,821,700,932,254,122,523,682,936,265,326,511,
776,084,075,390,462,796,875,925,731,867,440,646,333,269,793,569,154,932,787,
601,956,232,205,493,863,802,830,143,757,487,688,704,128,927,177,271,900,928,
026,931,612,967,011,929,232,825,005,422,316,325,471,554,590,906,696,638,439,
054,492,394,555,266,510,304,441,743,226,328,076,503,268,124,943,092,598,132,
690,072,860,654,626,118,203,133,497,972,602,543,255,118,451,969,416,880,775,
833,848,205,893,919,472,240,784,746,065,381,386,590,189,498,219,505,223,024,
664,276,978,061,444,663,194,660,671,419,675,466,552,944,674,180,617,372,817,
632,919,662,366,909,572,271,239,001,746,117,078,207,127,100,860,881,811,815,
301,204,634,189,871,615,349,364,477,245,179,331,605,534,222,000,623,617,698,
602,258,348,047,678,555,503,986,484,039,042,342,981,235,692,561,143,795,080,
047,653,868,776,256,522,433,949,214,645,015,816,279,659,703,273,955,409,732,
008,351,767,174,095,477,294,901,446,101,178,639,532,079,368,143,611,749,509,
783,291,371,018,672,948,285,700,821,959,287,454,770,873,551,819,250,161,404,
556,869,262,701,873,089,707,121,333,708,484,613,646,157,604,726,726,725,328,
749,118,096,745,919,317,494,235,960,920,501,386,015,065,796,425,459,958,810,
546,383,279,674,379,681,017,840,003,097,785,387,803,443,128,784,819,630,540,
918,601,721,698,749,130,598,339,350,507,901,298,293,811,406,540,838,394,392,
522,247,276,016,502,218,999,043,300,636,811,809,660,441,434,484,464,633,115,
701,185,735,885,373,968,098,167,594,147,958,039,008,898,562,681,885,703,017,
725,794,142,448,365,994,720,388,556,696,981,995,642,410,109,951,401,909,037,
690,207,513,284,728,156,071,500,296,265,944,834,055,418,734,862,689,115,814,
039,748,333,855,314,282,844,213,257,386,207,278,352,539,343,988,450,406,328,
753,234,766,225,712,450,034,430,407,461,623,871,886,091,615,150,023,269,127,
461,569,014,106,418,932,750,985,665,174,308,584,356,261,656,682,006,380,081,
290,460,870,525,338,233,199,400,229,376,675,570,732,420,681,022,549,248,624,
405,947,350,892,614,786,540,639,213,085,885,976,675,952,314,051,779,164,183,
545,481,087,137,941,882,489,971,934,906,666,595,645,950,724,565,378,243,119,
336,662,812,587,017,635,638,960,996,007,924,474,799,557,251,402,625,919,220,
225,265,727,154,511,267,593,244,182,818,191,100,747,709,218,562,576,623,001,
093,131,563,328,384,902,415,618,821,081,668,031,526,688,764,811,036,457,376,
466,554,004,207,236,147,181,643,592,840,561,819,618,277,490,168,459,557,245,
807,942,591,210,289,597,700,523,983,577,079,357,550,993,747,032,803,352,443,
318,295,085,977,201,026,533,799,099,240,185,985,988,030,979,777,509,388,203,
219,362,177,331,255,791,501,836,742,336,965,259,702,030,053,208,898,757,845,
853,368,783,129,589,794,616,849,842,644,417,387,119,611,811,056,632,719,022,
594,692,565,006,348,789,015,612,135,309,636,003,446,724,052,161,031,069,038,
325,697,529,897,277,360,596,311,803,814,284,033,230,478,751,990,439,456,715,
872,282,952,352,476,818,735,841,908,762,758,717,744,005,483,524,259,772,285,
143,765,791,981,118,685,393,418,819,416,175,432,511,012,770,542,897,614,483,
737,417,952,295,336,131,279,485,212,109,994,514,673,772,955,438,023,755,919,
201,340,306,753,851,925,164,378,264,914,307,258,840,253,215,461,543,770,449,
504,256,179,689,325,890,896,304,482,621,480,511,807,830,059,210,717,472,682,
901,026,225,321,100,678,027,423,080,977,902,360,195,348,041,138,589,051,544,
121,348,855,537,974,891,530,512,035,040,468,342,790,183,279,986,212,285,362,
062,103,574,689,294,448,687,481,003,180,230,066,159,830,817,237,717,003,669,
148,493,789,492,801,509,217,678,958,241,760,271,354,629,552,662,959,422,885,
857,690,333,238,572,226,947,532,291,358,734,648,309,225,222,249,303,472,458,
059,458,494,471,432,645,556,379,923,020,920,072,935,273,133,679,161,868,503,
332,643,771,949,917,386,664,526,658,704,381,287,318,873,541,752,613,100,897,
844,935,182,737,508,011,374,847,415,781,377,598,829,077,581,439,312,828,285,
276,948,509,925,436,675,018,496,302,775,971,519,426,055,701,253,925,141,331,
788,508,591,374,643,647,785,417,039,673,062,108,384,907,749,716,125,707,405,
932,319,374,329,797,010,685,634,448,694,425,146,489,206,941,284,662,914,110,
650,990,511,623,193,384,971,573,666,552,864,720,242,001,604,233,511,165,931,
849,156,289,698,310,340,558,309,117,937,823,335,712,122,898,746,068,236,169,
583,114,660,989,402,580,961,818,311,137,965,248,561,861,058,525,915,765,229,
941,960,803,637,743,660,140,329,456,561,459,886,514,565,300,639,389,357,032,
108,864,746,259,728,997,934,610,795,556,752,154,526,853,069,974,764,002,619,
104,634,771,498,936,661,616,782,103,481,993,811,464,815,218,693,085,314,680,
129,249,137,720,745,031,024,452,585,642,022,884,175,721,020,192,176,577,978,
048,668,387,171,962,811,919,963,598,584,019,316,911,904,135,986,797,441,854,
416,968,163,100,950,184,751,801,213,792,120,094,362,777,172,821,349,524,931,
242,582,429,660,695,142,965,674,497,690,089,461,554,242,080,674,654,139,837,
763,484,831,828,482,938,198,511,528,351,818,066,065,062,229,463,646,091,957,
460,991,094,558,356,661,052,084,635,014,586,250,405,398,119,066,754,968,771,
281,159,520,946,639,426,707,132,543,125,488,840,154,193,338,685,665,902,071,
237,364,774,029,800,658,367,616,026,522,174,345,307,441,920,120,760,348,661,
610,545,538,256,427,903,239,254,523,250,724,475,788,256,941,340,339,262,349,
742,442,963,416,377,662,301,487,927,226,161,738,787,491,998,419,660,097,181,
317,124,565,700,450,051,032,523,432,476,274,830,826,612,115,143,905,122,103,
368,739,562,777,519,594,554,607,532,114,800,257,557,828,178,460,873,128,623,
352,068,394,209,671,027,372,236,030,648,250,402,085,938,184,295,858,936,149,
972,718,171,845,279,189,768,742,225,806,324,150,991,707,566,807,638,021,570,
744,039,451,301,937,096,975,309,891,170,131,365,652,721,758,119,000,853,080,
976,427,163,299,222,131,075,215,463,460,833,442,845,245,995,545,994,023,197,
126,396,259,716,414,345,234,544,075,864,748,187,715,051,900,531,810,039,473,
301,630,591,159,411,780,797,043,756,170,467,099,296,830,456,331,143,880,430,
424,306,022,733,945,047,627,289,007,431,824,051,849,754,886,518,380,447,723,
012,727,245,390,458,326,041,606,953,933,812,549,243,852,512,772,985,838,396,
083,127,368,150,530,267,426,749,952,195,889,194,164,617,734,179,605,876,759,
558,859,529,629,706,333,461,078,430,159,122,754,887,238,642,358,257,863,168,
826,456,525,525,108,192,240,821,108,550,868,214,704,530,663,703,048,559,783,
727,197,559,653,751,712,726,226,707,780,300,992,234,859,870,461,592,287,462,
503,632,517,716,919,094,236,842,469,831,834,336,178,963,861,996,592,788,576,
365,090,531,100,747,706,657,293,190,203,566,081,720,106,160,611,834,637,727,
505,965,123,012,514,357,016,683,866,891,565,320,175,848,241,604,828,318,072,
773,218,054,093,930,113,063,120,576,193,953,841,641,606,517,265,576,996,466,
721,836,656,399,154,743,592,004,138,038,769,744,517,577,824,207,865,469,213,
712,685,907,698,462,544,688,104,969,011,316,188,965,421,436,673,254,369,215,
740,022,172,353,439,194,654,899,850,770,032,701,318,420,704,156,835,496,437,
349,896,838,505,514,750,731,456,057,456,242,027,932,815,753,589,296,272,316,
522,406,135,680,232,855,985,353,458,483,441,041,576,229,888,304,492,129,773,
272,052,248,409,203,423,320,263,201,765,579,197,789,642,559,876,608,865,519,
840,873,457,597,165,654,053,572,286,412,671,253,858,861,891,156,907,889,156,
103,237,212,925,612,332,052,508,637,603,594,840,036,991,425,301,805,030,085,
407,755,114,266,252,747,075,791,403,383,890,158,464,045,184,868,021,071,298,
065,858,037,052,928,214,220,314,136,022,287,949,563,291,708,653,897,467,347,
517,586,568,628,330,493,247,032,336,390,086,151,537,975,089,970,609,851,127,
953,878,132,218,094,571,770,694,993,779,747,937,347,292,527,637,970,866,660,
394,845,776,812,275,568,842,589,267,075,557,240,743,898,865,308,395,375,310,
843,179,796,757,158,814,702,542,666,039,096,291,389,712,320,910,339,348,743,
416,447,012,030,954,460,997,424,392,380,035,758,292,291,022,677,501,243,393,
911,527,114,631,202,184,413,714,841,048,003,416,598,664,456,681,041,726,694,
525,221,162,741,729,022,643,889,758,672,654,323,345,398,914,039,295,173,806,
829,730,001,004,506,136,800,651,448,049,790,713,898,740,377,910,907,266,983,
038,547,996,203,904,965,030,550,890,827,322,297,598,898,244,305,417,019,794,
471,984,368,567,824,166,746,385,413,730,793,141,355,640,037,930,239,631,510,
261,338,954,366,152,351,013,817,872,281,307,459,032,900,831,241,828,507,701,
616,068,848,289,295,851,865,337,514,430,442,381,385,104,779,037,969,758,424,
339,420,767,363,774,496,308,912,513,791,310,273,578,679,032,765,596,737,593,
967,103,092,442,394,724,604,904,326,005,841,728,565,238,867,196,327,958,006,
155,925,900,865,164,822,611,652,430,264,334,631,683,133,583,972,436,541,439,
533,232,891,795,988,943,187,287,381,207,050,673,495,086,951,553,069,656,498,
841,390,189,730,773,315,035,072,710,236,094,391,192,370,249,178,074,881,545,
197,508,086,827,184,303,603,416,686,500,580,508,301,268,093,189,902,055,424,
902,442,971,164,652,860,349,582,100,282,561,272,882,132,645,059,065,013,489,
526,319,800,660,891,104,903,463,185,358,367,704,629,846,810,971,407,529,477,
720,148,044,662,860,720,465,134,465,850,852,136,103,725,798,428,496,117,416,
491,960,092,248,356,628,037,029,839,746,049,135,388,137,113,429,502,072,437,
244,873,329,075,098,385,723,388,099,484,432,971,355,909,008,434,408,617,251,
764,988,030,014,745,668,989,470,882,785,266,508,556,677,851,374,806,642,329,
472,441,283,658,387,188,931,793,275,497,195,678,528,501,760,409,731,808,050,
795,066,529,408,933,845,400,102,455,748,773,512,413,445,136,881,822,340,328,
219,777,203,973,216,772,956,590,511,819,893,185,764,241,863,654,790,845,018,
973,661,727,227,245,914,036,090,015,426,786,452,969,769,016,382,642,988,027,
335,672,494,271,963,591,194,016,724,562,622,093,884,015,264,082,346,105,309,
999,224,932,463,696,748,223,140,137,023,794,272,234,438,080,558,617,653,757,
338,579,958,718,099,095,599,658,216,686,796,997,845,444,718,992,051,491,389,
883,958,999,144,780,024,493,003,093,105,210,609,991,859,853,150,745,903,751,
161,611,253,384,892,049,463,025,691,089,318,853,185,781,613,093,516,698,807,
074,713,833,209,138,899,655,432,473,487,684,783,931,993,671,992,077,154,566,
469,431,528,719,487,523,653,313,807,637,344,075,715,526,361,170,509,451,686,
923,014,916,202,879,857,200,779,694,365,795,565,593,356,063,792,533,660,752,
537,256,244,176,262,286,387,647,659,476,053,781,354,483,016,343,837,573,600,
781,653,921,074,109,086,050,513,354,690,641,021,877,083,010,503,013,535,802,
980,982,061,896,776,767,136,404,086,839,624,094,352,576,473,578,676,481,762,
386,167,032,251,816,525,863,888,834,113,997,234,501,091,830,963,991,347,574,
597,282,819,250,333,968,199,212,295,488,713,699,261,724,186,449,885,694,748,
909,140,185,000,329,281,904,355,838,124,551,557,361,698,196,119,542,274,008,
721,754,033,642,836,963,413,472,903,139,928,303,846,326,502,204,818,815,596,
095,452,135,648,607,689,985,033,105,302,699,132,232,750,407,525,936,215,588,
068,394,986,493,636,174,975,772,921,322,668,538,138,423,872,949,018,192,106,
957,016,459,233,986,852,958,207,628,088,285,102,563,574,644,427,746,857,992,
535,602,616,673,050,411,021,231,103,978,485,109,779,570,218,129,037,203,387,
545,111,908,866,308,268,421,155,773,424,012,241,126,463,199,375,060,213,028,
608,600,075,580,146,410,516,679,936,030,644,393,480,915,497,594,040,906,042,
706,472,289,170,690,821,862,991,852,479,451,511,476,758,809,531,355,862,577,
213,853,435,114,079,285,763,645,565,646,766,717,717,623,418,122,914,364,288,
249,178,623,361,160,098,052,125,221,582,392,141,673,952,399,579,923,112,885,
647,322,061,391,967,695,226,865,314,880,354,483,624,367,785,208,236,316,861,
251,671,326,071,101,993,329,072,356,823,727,660,413,073,252,166,873,043,765,
499,706,496,461,607,507,963,446,640,238,301,332,940,560,250,888,583,806,204,
551,357,403,345,771,630,340,072,757,879,494,150,010,005,735,389,224,630,069,
241,750,141,537,166,413,911,892,290,216,495,416,073,138,931,942,366,753,621,
520,591,751,457,319,644,817,608,162,036,848,229,425,940,446,130,394,403,777,
074,198,564,733,469,041,848,885,515,620,352,541,020,767,150,514,660,289,552,
158,831,487,805,247,734,971,372,473,128,868,740,052,887,174,171,165,439,043,
725,061,157,939,900,357,842,781,487,031,461,488,322,823,291,660,973,525,185,
471,698,983,678,060,696,055,986,027,409,567,736,168,907,505,874,569,127,978,
803,075,248,870,389,543,798,093,766,853,634,374,559,869,095,174,269,834,373,
804,152,388,354,431,046,328,870,599,158,944,396,531,886,666,629,886,218,805,
677,399,433,964,656,832,425,668,110,928,841,270,021,659,563,691,650,255,944,
979,883,753,106,232,486,393,848,446,484,650,637,277,292,187,688,435,088,939,
036,159,092,038,266,254,606,771,084,597,295,455,653,250,047,362,117,908,910,
982,983,711,203,345,839,193,518,925,260,806,766,576,043,029,342,155,909,026,
518,137,071,960,800,748,071,070,878,478,879,356,346,487,502,928,453,437,786,
752,131,420,788,358,833,459,800,775,742,836,943,519,424,655,984,735,698,438,
274,583,844,018,792,181,216,804,799,403,589,978,438,844,869,729,609,614,057,
826,263,875,282,407,583,555,429,791,961,005,778,547,456,228,550,472,201,679,
078,879,314,677,019,109,560,139,590,329,375,697,736,492,030,863,372,822,121,
591,895,896,439,603,584,276,130,155,042,398,122,621,588,500,808,899,716,739,
158,997,026,435,922,913,198,842,832,260,963,795,178,887,325,373,352,883,552,
886,944,858,626,031,693,762,784,869,962,647,105,731,857,348,273,926,260,579,
017,623,512,844,350,437,416,491,343,346,776,841,263,593,458,169,100,934,550,
988,859,577,171,829,390,173,980,437,843,177,425,824,901,018,903,277,035,457,
003,395,862,459,735,929,583,703,102,552,351,087,267,041,711,250,253,080,980,
790,673,273,821,206,467,310,455,607,807,190,950,551,003,347,525,529,230,540,
219,018,302,616,995,598,969,302,146,581,651,224,853,807,273,376,521,347,738,
332,639,172,292,584,164,941,328,405,610,364,224,173,585,739,244,394,301,453,
417,042,134,028,022,939,628,643,794,530,240,301,415,225,031,420,082,469,924,
310,371,984,599,295,780,041,008,734,491,797,773,693,596,236,761,552,350,356,
853,034,960,516,862,452,274,138,182,201,088,003,087,468,696,905,297,061,499,
187,001,197,576,693,264,355,050,556,203,315,048,858,856,020,059,564,255,781,
197,033,596,047,932,560,234,658,076,719,998,055,668,986,651,255,039,066,970,
747,576,031,643,021,441,118,267,636,538,448,443,542,125,801,166,504,533,839,
863,664,865,473,893,784,265,202,290,437,577,008,559,920,094,974,563,865,121,
857,866,898,307,755,486,877,719,728,885,720,584,964,145,701,589,031,919,938,
191,904,938,060,112,386,178,496,057,202,886,528,167,458,094,777,424,714,533,
115,024,784,447,191,599,990,144,852,727,059,144,638,388,255,936,053,291,842,
145,760,653,171,577,200,352,249,167,456,922,746,643,947,709,253,540,504,511,
888,248,023,705,341,723,860,707,517,979,844,718,388,186,146,055,371,445,251,
039,685,041,029,672,918,662,711,006,016,124,543,207,073,812,845,991,585,059,
796,831,351,616,975,248,453,571,679,312,299,388,778,150,351,422,097,550,609,
867,168,030,234,084,118,915,645,823,975,341,020,810,653,256,707,021,458,661,
600,175,822,584,332,031,739,982,715,476,499,157,669,820,777,153,382,014,826,
175,757,404,049,521,768,096,087,635,594,605,751,736,503,547,343,946,418,394,
964,338,698,277,401,086,390,684,579,733,928,795,183,608,814,878,960,430,640,
579,435,927,287,342,725,289,638,858,199,889,675,789,406,022,009,263,504,264,
705,793,790,325,137,891,913,553,450,000,793,469,395,762,288,382,860,771,931,
383,740,289,256,413,910,534,958,643,934,406,725,336,389,052,223,490,987,271,
601,457,642,592,683,730,534,326,423,274,646,744,673,698,795,217,048,352,051,
516,974,197,193,433,695,142,242,331,481,909,231,909,807,896,250,760,667,430,
750,042,188,655,423,841,380,667,794,601,631,571,269,280,273,522,961,045,110,
348,672,492,077,070,419,821,796,723,457,897,845,611,902,105,694,881,569,622,
031,143,741,587,712,751,047,322,489,738,612,647,050,304,340,088,650,590,904,
179,327,950,701,235,565,440,655,846,956,279,036,105,438,539,837,405,649,010,
450,360,118,591,198,146,546,813,817,662,942,460,260,555,937,608,620,188,312,
798,670,381,219,630,055,914,129,852,275,134,592,519,519,877,629,091,528,082,
586,093,467,414,347,665,387,245,582,130,590,502,748,007,013,978,956,986,857,
679,195,192,429,942,634,933,927,830,757,459,323,062,520,605,370,206,202,634,
663,378,630,146,531,207,858,488,067,765,230,812,656,919,853,144,628,782,713,
846,705,152,349,943,881,837,988,774,890,683,475,754,265,188,851,712,381,776,
414,311,353,160,431,719,565,318,155,946,401,054,533,224,477,373,649,861,708,
292,284,807,639,234,153,799,371,213,710,038,064,056,023,478,730,237,064,636,
321,902,659,998,909,948,991,199,782,786,768,429,059,201,375,644,547,311,797,
554,747,994,901,676,836,619,324,314,767,964,834,440,724,032,959,084,550,442,
478,575,240,871,310,901,690,912,137,135,900,729,490,138,746,756,137,651,107,
241,033,843,118,911,746,456,487,362,696,770,982,280,311,580,241,100,655,825,
350,121,897,170,923,785,257,301,851,687,567,604,642,919,863,561,410,535,040,
369,773,291,265,049,515,568,795,600,002,684,992,475,951,959,448,479,802,709,
495,143,434,187,384,957,154,746,620,256,479,769,857,927,398,756,429,788,219,
305,049,532,410,343,491,389,912,244,574,126,941,736,198,760,895,440,556,431,
761,724,922,685,455,320,923,926,829,759,952,524,202,066,583,476,650,306,162,
214,138,860,354,972,159,568,288,024,343,211,958,535,523,771,476,357,069,900,
523,237,958,086,045,353,948,763,830,466,186,094,182,504,091,273,019,854,009,
662,020,055,183,337,416,889,991,344,954,134,560,884,403,632,794,715,001,974,
655,021,070,670,838,387,208,440,000,756,539,985,656,160,195,036,809,620,921,
648,266,570,493,815,395,360,746,730,780,029,996,791,041,427,005,148,792,672,
935,350,409,895,380,804,951,641,428,712,704,069,335,864,523,703,274,272,416,
531,676,580,641,608,421,242,222,652,145,620,102,141,774,884,460,597,342,354,
512,213,358,685,169,747,669,462,078,104,290,388,516,215,443,108,940,940,070,
660,333,857,954,437,641,342,219,223,661,343,513,785,550,784,660,066,338,960,
095,449,220,707,533,636,933,811,768,816,575,700,402,017,137,770,389,571,155,
990,247,733,335,330,178,069,921,815,834,832,753,808,626,856,994,982,964,994,
927,692,338,086,359,605,962,215,647,685,757,223,896,588,791,161,583,935,975,
130,214,584,267,936,011,826,614,641,682,192,132,084,669,118,870,968,240,200,
643,929,365,734,371,943,541,942,343,277,341,565,537,834,585,218,387,882,458,
399,250,760,771,099,703,796,956,443,107,971,786,349,232,243,710,050,570,367,
588,921,284,689,494,293,310,033,645,229,793,447,646,734,024,350,245,032,167,
272,770,803,251,689,347,993,752,591,137,841,056,913,395,689,662,796,684,091,
951,386,644,508,770,648,508,022,242,305,181,553,715,004,198,251,693,297,462,
354,377,341,173,833,362,345,285,277,427,983,721,516,462,920,683,448,770,613,
731,409,289,791,970,238,523,354,693,299,237,975,652,060,231,651,316,093,649,
278,918,753,955,580,829,125,875,301,582,284,904,901,350,089,404,637,788,878,
284,827,520,508,543,121,369,419,077,016,249,302,515,178,362,672,886,656,836,
754,746,389,823,015,613,618,306,313,773,462,029,827,793,383,755,915,917,696,
976,323,215,619,086,713,107,732,077,897,423,619,429,578,391,306,748,324,004,
642,672,292,547,570,549,934,932,057,309,013,876,796,509,606,639,096,585,706,
033,585,496,750,633,403,938,184,409,903,885,835,697,726,558,036,271,904,994,
930,939,906,626,103,411,451,979,718,620,408,691,282,890,482,671,966,648,209,
274,231,344,478,032,601,986,603,187,521,296,673,728,689,047,971,652,043,203,
157,141,611,320,128,885,586,358,042,408,797,925,086,529,684,782,588,178,372,
430,784,295,268,340,883,899,482,121,406,031,927,150,464,218,898,491,050,454,
196,787,271,741,077,548,704,810,183,624,573,459,008,128,805,537,510,739,564,
688,453,641,620,559,684,765,760,423,537,494,491,695,193,416,706,775,665,158,
184,258,985,490,935,030,643,711,243,531,649,292,164,649,330,245,046,082,183,
314,647,285,328,034,717,950,732,218,819,452,621,387,139,127,043,579,036,657,
551,967,456,604,749,703,536,367,540,375,595,681,061,436,539,517,045,287,278,
162,297,759,928,420,392,554,444,137,440,553,894,253,797,257,402,701,020,814,
171,212,073,896,663,334,467,241,337,869,281,711,701,686,050,566,736,637,827,
778,176,460,507,727,485,875,112,258,068,052,477,013,251,201,609,489,785,318,
329,955,430,306,515,092,666,983,669,736,668,407,936,697,599,009,504,285,328,
203,632,797,281,372,982,562,421,071,937,434,824,288,672,833,894,713,315,476,
642,402,115,296,646,360,594,280,627,619,237,605,535,792,726,367,415,492,775,
160,739,435,969,107,543,988,678,866,520,339,638,931,250,570,906,335,299,151,
794,682,941,149,619,796,208,007,736,982,772,866,874,834,823,080,821,208,397,
822,950,277,643,918,083,349,372,599,318,448,895,978,194,024,867,463,428,204,
241,048,468,833,669,633,875,428,436,531,611,910,320,399,634,863,685,646,101,
809,496,375,225,576,596,282,620,737,084,501,892,810,318,391,010,473,908,480,
421,508,122,781,568,753,266,104,313,488,307,489,506,449,963,022,873,317,830,
889,289,764,423,360,148,300,470,937,110,229,229,283,278,288,570,285,998,213,
630,116,563,761,334,815,189,293,572,822,619,654,389,044,192,396,678,891,822,
849,013,592,899,358,805,298,586,028,899,640,474,365,608,966,193,643,734,246,
013,426,886,280,336,144,176,944,007,371,197,033,871,482,652,468,485,665,600,
062,127,075,532,073,703,135,361,244,174,050,005,855,789,188,063,286,184,966,
674,052,499,430,821,602,721,107,291,439,113,706,904,096,366,947,117,580,545,
676,420,715,539,290,439,439,332,980,319,265,082,206,478,133,043,994,491,286,
810,092,646,482,726,536,979,672,895,914,702,238,434,942,127,394,232,550,098,
238,564,270,175,717,368,316,070,158,495,530,303,271,372,724,417,344,026,884,
712,926,579,633,584,484,834,106,399,122,098,237,222,656,545,580,779,886,279,
718,805,757,975,168,812,602,118,014,258,917,480,839,736,858,297,609,742,915,
737,026,389,651,889,825,580,055,224,932,015,157,970,431,061,005,557,653,830,
026,778,985,591,159,542,450,793,796,906,718,510,573,259,113,632,278,999,594,
403,703,743,270,043,354,372,313,362,486,247,701,383,260,756,761,829,181,431,
968,189,492,180,401,725,444,438,937,056,421,093,730,951,660,387,537,186,750,
420,223,554,809,118,746,485,442,099,507,879,106,669,003,494,601,108,550,329,
040,741,393,899,725,530,273,412,587,636,024,820,655,658,241,347,724,607,648,
622,952,702,588,073,891,594,357,068,882,697,247,015,888,318,659,516,457,181,
386,392,396,360,518,631,625,439,101,928,206,449,482,225,811,791,092,420,292,
730,112,949,026,139,425,198,638,709,299,945,246,069,289,905,642,535,294,642,
868,665,608,952,508,759,238,112,172,438,536,927,972,255,610,800,787,817,586,
259,357,945,902,952,378,488,351,413,604,757,922,661,077,018,654,569,169,970,
409,939,251,904,187,140,226,135,576,702,748,592,447,068,101,007,352,883,292,
400,802,886,360,907,314,317,811,324,894,648,752,329,681,843,738,499,478,754,
823,845,427,446,958,318,895,462,296,393,407,127,641,334,470,910,728,938,135,
499,747,203,636,679,951,521,646,566,623,320,140,583,343,383,880,423,526,300,
573,908,918,276,949,732,177,480,350,720,285,328,985,262,848,121,542,429,873,
396,134,577,249,458,565,212,785,445,513,030,658,636,166,105,547,125,076,294,
405,739,091,995,369,778,068,693,743,722,537,210,937,473,185,892,274,472,585,
360,819,656,283,823,948,110,836,201,172,431,049,832,662,693,367,877,092,977,
464,737,635,359,960,791,704,292,920,148,848,373,791,661,989,008,952,102,541,
312,410,912,359,091,439,583,788,132,897,777,714,300,931,102,578,273,715,126,
793,057,434,628,943,771,192,996,724,470,256,872,521,103,030,283,460,146,117,
129,284,497,030,929,058,187,984,604,743,275,820,913,098,769,584,584,398,294,
874,677,236,918,679,912,478,959,792,990,336,035,428,925,406,714,940,368,378,
752,614,163,080,152,719,097,207,841,596,456,151,266,440,188,101,110,871,701,
377,109,660,691,069,306,523,392,667,951,120,470,417,749,780,121,960,648,603,
792,532,746,370,731,958,556,832,180,135,172,649,040,773,942,606,153,984,208,
872,518,449,544,536,085,480,279,552,473,739,516,867,618,723,967,445,192,883,
251,960,443,245,514,103,151,430,724,018,921,383,522,586,033,081,529,536,906,
651,756,057,504,176,422,891,917,885,232,960,810,679,423,933,396,900,588,292,
736,905,956,692,731,087,969,184,060,220,826,561,864,772,493,081,877,054,121,
951,910,951,842,176,352,111,648,360,059,986,891,555,916,389,110,515,486,483,
197,116,196,262,675,534,021,588,143,729,102,033,178,562,772,844,313,674,286,
975,346,043,720,374,424,895,265,400,104,545,293,211,013,283,702,896,315,413,
726,662,105,206,617,395,960,049,769,816,479,102,515,837,821,935,344,861,182,
157,280,176,004,363,586,453,088,031,026,058,653,880,659,053,888,063,430,614,
824,579,800,440,326,175,503,631,548,738,109,870,749,866,202,941,217,977,237,
656,013,186,311,540,374,442,987,190,058,356,324,757,792,138,524,377,413,769,
184,379,366,925,853,955,586,708,913,853,845,061,366,253,831,948,578,868,298,
003,016,033,407,563,974,540,923,118,133,112,710,216,745,433,872,092,713,680,
075,099,673,164,467,726,883,919,902,290,317,567,738,541,654,375,087,301,399,
493,836,376,080,268,162,585,625,354,590,634,116,686,674,781,277,201,403,790,
231,058,609,065,412,347,594,059,595,056,564,057,058,472,617,362,114,213,037,
331,607,754,379,889,808,481,886,801,755,541,492,685,026,726,935,946,365,321,
327,188,810,619,482,123,650,912,821,096,358,478,970,921,148,906,984,745,990,
726,131,047,167,035,969,241,253,610,968,961,610,318,939,204,307,020,576,334,
510,372,830,959,339,301,718,243,498,058,545,249,343,500,258,424,888,282,846,
165,762,011,036,527,225,886,694,957,667,211,518,502,980,594,931,151,899,365,
265,590,155,263,072,185,246,461,647,006,204,901,180,498,004,974,656,886,664,
155,681,491,569,143,415,549,732,941,964,777,175,062,409,980,261,150,906,954,
504,945,653,439,453,457,720,301,539,021,791,766,928,901,606,134,904,093,915,
821,196,686,197,770,538,276,773,883,620,486,779,342,814,526,847,433,499,904,
529,146,497,508,394,397,123,979,041,319,652,151,235,004,772,012,305,658,848,
913,949,718,374,420,986,573,527,353,742,687,031,488,284,227,008,424,306,964,
264,664,965,827,882,897,551,606,455,644,713,836,834,190,240,448,260,170,397,
858,934,649,412,900,087,217,746,980,535,382,940,075,511,249,098,760,862,360,
558,672,504,600,953,528,004,185,703,611,313,559,707,999,563,743,050,990,147,
639,444,939,626,215,137,556,145,888,491,226,182,706,095,435,307,123,320,141,
260,373,080,076,596,820,087,347,903,205,713,837,022,996,620,132,878,346,565,
569,022,047,734,318,294,017,991,764,371,147,888,764,182,481,774,440,500,465,
896,933,405,381,389,847,047,711,754,857,569,578,110,790,482,871,039,268,239,
781,598,201,318,488,029,841,532,433,752,622,022,682,751,928,602,049,720,226,
290,385,221,742,132,808,836,329,452,073,186,567,008,127,625,475,914,003,070,
689,527,896,969,091,845,531,235,333,275,398,693,727,789,005,111,501,512,761,
093,398,232,046,832,462,997,269,489,934,707,836,498,941,353,197,075,410,142,
328,711,618,159,527,523,674,528,970,020,394,871,031,237,777,828,226,106,765,
957,695,532,154,486,181,884,368,892,780,427,714,177,397,346,318,100,854,834,
317,398,796,169,915,537,914,663,104,584,197,649,183,717,922,479,868,651,795,
891,203,194,571,729,336,008,644,761,045,672,100,049,655,371,880,501,788,985,
148,074,000,789,388,095,413,152,811,657,712,835,611,908,829,300,072,850,212,
888,927,777,662,311,521,481,832,396,848,725,048,254,650,504,201,884,641,284,
524,790,227,877,365,846,168,331,212,555,672,501,655,905,488,348,632,930,669,
747,556,021,538,558,552,484,778,566,129,055,768,198,676,245,203,139,459,159,
212,290,607,821,053,463,481,951,066,247,377,964,204,991,910,120,376,277,668,
162,056,486,156,937,439,376,219,124,833,503,950,298,149,283,226,626,876,704,
039,227,462,028,529,283,772,243,600,397,965,563,550,241,594,499,056,649,406,
552,493,692,036,864,901,363,562,036,369,005,822,527,591,415,453,249,036,218,
509,800,823,995,991,798,819,136,298,914,098,828,228,206,807,658,560,901,882,
547,729,839,731,042,915,452,997,917,529,251,618,094,197,229,855,485,542,292,
790,481,613,028,401,793,766,758,519,049,144,628,856,469,895,697,918,952,099,
221,848,720,801,068,006,563,291,564,716,534,126,325,270,894,988,943,754,830,
601,015,430,615,768,794,888,918,075,841,230,810,768,744,373,050,338,339,502,
685,864,297,778,946,099,399,965,665,291,717,382,512,778,312,613,378,040,326,
188,911,855,074,459,433,977,470,165,150,781,441,221,985,740,460,819,721,745,
481,611,979,155,357,799,692,593,409,290,212,618,043,323,720,946,587,757,571,
754,452,682,145,939,932,349,207,660,731,240,164,310,416,843,725,719,619,812,
642,169,903,442,698,352,772,507,086,874,812,803,682,491,852,048,110,323,027,
349,709,171,543,170,441,113,242,606,797,605,250,097,634,843,230,302,300,078,
439,065,908,432,643,532,628,199,138,888,822,651,324,360,788,128,558,409,688,
576,659,795,339,685,320,486,440,586,963,859,801,659,299,743,630,554,834,121,
075,692,520,739,664,013,966,068,022,531,026,572,601,181,896,751,496,680,256,
968,009,976,357,581,499,882,853,580,708,491,422,503,609,056,072,189,343,067,
992,441,396,650,112,047,953,131,086,344,965,469,477,892,433,960,180,130,618,
540,122,619,321,938,363,523,302,924,882,619,986,838,598,186,390,616,333,825,
531,944,825,478,172,525,988,198,651,980,451,585,975,407,411,735,331,616,359,
044,292,362,976,424,085,404,042,172,699,952,500,686,528,829,835,424,801,984,
006,061,266,172,535,143,390,913,952,526,163,939,236,025,662,416,789,298,157,
723,000,617,369,010,788,736,403,291,816,654,569,278,313,076,329,464,609,292,
798,938,801,449,528,693,526,476,985,775,432,363,116,609,257,385,467,057,454,
557,757,597,860,930,195,768,056,408,694,068,593,611,942,088,090,951,020,889,
614,811,337,328,097,169,699,337,973,254,929,628,471,175,735,561,948,017,373,
895,949,177,781,687,473,079,610,279,156,393,807,105,967,720,078,143,416,114,
422,757,396,480,954,031,824,738,423,419,900,543,173,154,537,459,253,185,311,
882,284,621,363,365,904,410,775,189,795,559,904,908,409,858,351,087,950,092,
276,221,789,362,714,567,014,222,467,780,883,089,063,431,463,803,452,219,170,
430,666,583,858,635,620,593,996,328,470,252,107,544,807,497,696,634,477,719,
733,936,563,333,260,852,536,597,321,976,645,498,760,157,537,454,165,862,543,
511,558,089,534,466,087,729,424,457,054,674,076,025,711,028,730,037,144,716,
462,825,504,354,956,303,276,300,951,326,516,126,395,395,478,028,970,272,799,
209,360,664,630,031,002,434,527,991,697,522,424,614,674,960,614,191,953,309,
355,296,190,440,482,940,375,220,770,358,924,320,940,268,280,181,249,796,348,
487,344,850,837,877,577,510,778,417,595,796,188,972,666,934,399,735,426,360,
850,023,286,616,550,105,068,919,450,192,503,318,983,401,300,605,905,233,971,
168,337,187,183,291,370,435,089,494,214,883,427,846,704,123,064,737,574,590,
505,151,653,220,663,443,115,959,690,755,275,946,735,237,660,523,933,692,869,
452,143,250,564,045,339,151,707,343,463,940,795,614,209,200,387,476,489,429,
860,039,067,356,123,197,706,451,726,531,594,729,746,488,334,303,559,924,427,
014,534,372,844,783,160,946,317,783,463,685,313,392,587,340,063,043,088,904,
069,644,410,741,316,751,451,694,016,624,233,033,497,792,191,988,182,714,547,
371,790,991,072,854,970,295,334,138,296,839,464,718,195,587,987,316,765,767,
252,294,536,523,075,199,058,425,000,407,477,660,727,777,194,733,172,696,804,
644,535,214,332,376,354,464,381,405,260,253,605,342,664,506,543,857,594,201,
529,209,558,651,730,473,488,278,800,112,224,416,411,082,638,593,291,350,155,
908,877,211,129,855,403,428,934,708,126,115,834,369,167,940,190,295,040,678,
184,212,868,037,850,493,241,784,775,677,602,706,164,785,695,518,581,363,206,
230,301,990,803,354,378,472,544,861,020,498,387,783,197,634,104,545,871,396,
982,691,588,521,330,325,046,172,309,983,086,775,444,512,273,047,135,341,812,
577,366,034,590,290,810,337,389,010,409,738,642,382,229,887,529,437,057,995,
475,357,922,371,953,835,046,291,575,502,684,954,966,951,335,774,355,452,725,
111,176,205,085,956,284,060,256,449,305,234,344,062,922,879,174,446,162,877,
151,330,221,592,764,284,934,167,995,771,327,873,719,666,343,822,621,358,372,
864,672,792,819,194,102,101,563,621,367,558,836,848,013,669,518,682,219,306,
471,393,054,599,527,878,625,527,834,759,001,745,438,435,041,694,010,384,252,
715,732,795,988,866,498,938,004,733,841,581,854,353,209,020,225,943,515,305,
076,230,366,694,775,851,419,461,703,764,321,675,165,390,889,092,989,073,741,
815,804,991,654,792,505,636,684,994,058,189,091,639,886,902,563,201,581,098,
850,190,573,146,485,977,581,661,606,267,567,856,110,222,748,342,244,619,192,
861,070,473,043,130,037,784,582,729,935,204,937,510,764,355,788,242,164,273,
901,479,213,397,472,655,547,465,126,181,977,749,299,612,451,152,087,590,005,
363,813,470,610,379,062,570,855,196,959,236,679,460,270,590,011,967,541,187,
496,140,239,780,129,549,553,674,678,286,077,229,361,790,493,775,881,999,776,
106,894,083,138,017,991,417,232,241,043,715,333,814,095,671,911,432,809,481,
618,812,009,079,442,241,433,505,725,635,960,506,435,022,728,502,987,300,961,
711,872,309,176,591,105,288,296,729,595,605,538,072,665,419,168,406,401,292,
367,629,088,340,082,141,681,472,572,869,359,545,412,441,826,151,286,385,351,
036,535,991,593,091,452,921,586,299,811,192,523,431,644,710,253,083,335,397,
844,434,557,148,726,896,675,993,172,212,889,527,244,413,936,263,482,494,996,
780,675,749,287,530,197,129,916,278,444,918,695,893,142,587,819,740,191,276,
057,295,343,979,957,091,185,658,977,322,980,715,606,146,695,989,778,858,882,
481,159,623,174,514,931,842,186,131,077,263,853,946,925,568,276,401,844,229,
771,019,705,593,542,126,672,502,452,177,884,293,717,219,690,438,511,411,378,
054,959,418,544,296,743,586,156,860,000,299,256,063,370,755,470,825,047,393,
756,996,028,385,386,252,994,421,170,608,135,325,943,184,576,509,858,040,393,
582,955,632,251,390,211,040,326,748,448,436,006,983,130,582,616,916,503,941,
189,790,272,073,569,933,891,655,720,944,256,144,877,656,572,308,419,700,965,
107,310,209,798,383,537,393,609,088,742,414,645,790,985,505,126,652,710,761,
638,334,481,096,475,334,803,332,530,440,690,053,267,290,424,046,263,512,174,
063,659,303,264,919,128,279,612,128,697,358,763,817,471,420,950,799,730,119,
520,870,228,477,134,419,194,109,000,791,646,850,906,210,803,799,932,519,354,
492,007,479,713,355,441,654,970,769,217,341,194,184,847,863,414,572,178,314,
247,567,971,680,703,825,073,081,198,396,897,718,628,267,684,076,710,613,312,
494,080,398,020,440,350,399,735,381,628,330,883,374,760,274,101,726,103,740,
762,930,962,411,855,188,912,719,006,169,288,211,789,204,730,473,803,175,028,
690,449,733,094,678,160,018,297,512,294,006,724,228,748,127,228,729,073,040,
298,359,507,735,772,354,179,138,491,161,680,647,908,736,788,403,212,032,149,
697,132,588,995,959,364,482,037,276,817,751,576,091,482,181,582,585,946,990,
690,728,771,533,587,266,598,314,938,399,407,649,527,255,080,082,622,065,291,
531,549,065,502,926,853,801,693,629,023,358,488,041,333,284,083,568,772,057,
001,945,946,714,732,386,896,339,016,353,114,877,429,175,203,384,278,749,659,
923,641,816,679,202,093,568,693,523,156,430,983,182,973,252,051,154,952,875,
117,249,176,403,345,594,095,324,424,405,592,941,810,813,356,120,084,754,982,
398,189,875,294,747,400,842,187,852,672,980,835,773,272,032,130,681,786,034,
427,337,623,260,649,591,322,986,599,948,323,577,723,486,538,319,549,706,385,
035,442,506,455,076,107,591,840,929,623,968,070,409,352,136,450,046,123,743,
310,059,712,276,062,898,655,961,282,366,779,071,864,680,280,844,951,074,262,
699,237,519,015,526,218,754,922,450,264,233,993,743,629,792,802,576,502,744,
087,651,445,575,501,924,729,621,106,303,457,935,215,111,662,842,131,809,859,
711,090,801,997,950,890,539,877,363,054,581,774,039,068,561,426,304,082,961,
442,941,369,571,080,319,524,216,533,447,791,149,227,369,127,952,386,551,336,
251,457,371,744,024,450,700,911,166,634,835,647,654,338,740,269,325,522,392,
193,420,741,575,014,958,800,396,802,321,244,539,102,743,025,838,859,058,970,
882,277,579,123,132,686,424,585,752,615,859,504,842,095,807,560,703,329,398,
272,768,444,212,605,346,368,247,792,359,218,987,076,863,933,731,502,745,644,
775,222,380,792,252,150,659,036,266,109,355,421,211,687,191,047,331,156,225,
227,021,628,612,742,840,748,020,475,367,493,307,236,580,868,557,398,089,688,
886,115,168,664,291,294,727,959,353,979,954,947,032,477,196,137,480,720,801,
992,323,276,600,082,253,179,545,458,658,267,713,937,835,748,438,704,134,605,
759,994,302,404,257,245,622,707,837,587,364,773,352,770,946,535,992,565,165,
565,711,922,916,222,532,870,779,303,263,718,959,290,354,080,900,198,627,440,
075,310,641,536,745,363,057,269,560,235,645,169,577,051,220,410,471,836,272,
647,167,755,331,206,795,232,962,477,563,275,034,084,798,172,746,950,963,000,
126,019,511,071,927,358,055,282,108,149,552,446,469,992,962,374,543,428,216,
626,507,274,916,701,059,787,157,549,989,768,766,082,580,396,808,402,631,086,
572,965,175,708,133,275,536,481,177,499,674,555,139,965,945,411,469,553,021,
485,583,567,884,761,668,591,056,190,882,026,971,086,570,034,975,712,617,473,
493,674,741,154,432,267,582,636,756,718,408,783,957,403,992,291,867,062,203,
439,265,378,495,430,370,293,675,898,257,991,249,592,219,118,147,598,719,602,
360,026,463,525,911,669,395,959,223,001,408,466,719,516,124,120,280,048,742,
271,788,958,110,026,245,443,957,104,941,663,432,663,566,013,177,960,402,278,
788,616,225,501,657,689,124,590,557,447,780,077,202,639,515,579,941,222,481,
061,320,779,138,374,742,694,379,948,499,087,654,171,018,321,903,818,484,888,
260,896,222,536,230,821,828,581,177,284,503,473,057,420,729,591,241,683,249,
933,411,863,564,416,424,828,206,470,352,296,259,147,423,773,929,694,829,472,
660,028,248,947,646,709,401,960,948,612,166,359,584,584,734,766,207,207,429,
180,254,526,118,873,320,203,170,669,826,470,398,820,890,038,341,048,713,718,
648,375,118,182,695,895,039,219,055,129,973,806,617,835,680,982,125,483,371,
821,554,594,632,202,022,145,304,960,346,901,452,170,880,365,819,832,093,193,
924,409,036,497,565,490,869,403,304,940,251,693,331,136,208,934,059,596,031,
298,940,145,076,314,175,878,616,823,331,980,015,285,962,384,407,418,414,921,
583,399,381,615,364,712,804,388,010,185,143,943,298,292,703,968,288,015,895,
127,645,115,065,111,345,819,221,316,912,469,641,491,175,631,764,843,944,920,
784,070,784,687,927,680,586,192,932,733,708,761,027,088,330,939,740,970,691,
142,940,119,968,476,376,449,660,284,215,649,223,525,597,822,718,963,260,423,
295,918,311,542,162,934,450,791,824,505,552,523,623,381,341,553,547,909,741,
471,378,882,421,969,045,083,810,235,113,278,786,508,141,061,355,025,018,308,
197,575,456,920,636,944,332,688,304,480,888,400,010,380,831,923,316,575,565,
993,271,023,646,314,829,443,128,959,079,026,754,470,269,380,667,330,078,819,
928,920,812,257,740,067,037,002,772,099,969,799,720,557,519,751,486,106,769,
958,699,103,379,066,277,942,793,158,843,849,760,330,546,042,587,906,057,659,
713,981,031,999,450,731,621,032,739,613,250,164,220,643,612,653,062,168,780,
175,512,376,342,921,538,687,976,566,518,096,844,706,135,789,241,740,500,748,
293,933,462,578,774,676,296,604,245,226,046,761,570,683,166,616,620,467,194,
675,094,301,095,010,824,249,800,802,823,283,055,967,789,622,956,958,751,824,
439,304,559,223,096,970,267,434,355,272,274,304,756,195,941,331,906,050,101,
488,913,293,190,495,645,544,848,521,761,213,993,038,430,631,306,803,270,320,
915,435,646,334,690,104,956,265,947,824,765,697,448,101,506,497,604,721,404,
874,244,541,010,295,582,661,948,773,239,376,190,444,496,396,514,576,491,821,
250,904,930,416,081,901,066,829,852,431,664,078,370,643,336,427,035,286,646,
649,180,066,927,830,132,581,487,873,365,560,034,463,363,701,643,771,071,185,
028,840,266,858,104,157,795,540,646,691,238,589,178,119,119,294,511,695,134,
294,674,799,075,336,731,127,887,495,151,828,886,730,733,017,084,236,509,490,
269,022,797,808,549,615,114,673,960,759,070,769,420,524,280,188,567,936,967,
684,623,180,727,043,747,063,494,581,860,427,200,209,870,935,380,796,203,953,
563,959,076,927,608,191,403,990,264,686,068,268,012,406,379,802,759,965,031,
754,823,831,252,716,816,820,019,067,760,480,402,624,086,092,901,812,741,913,
672,232,612,349,373,107,916,724,881,231,829,812,620,533,228,033,835,693,965,
791,684,355,543,678,203,773,178,912,714,800,900,093,735,959,221,926,992,166,
819,407,875,590,984,023,878,024,925,861,335,932,793,717,416,691,595,763,977,
285,429,276,440,625,029,737,101,613,904,453,811,359,030,575,880,676,431,181,
966,236,568,151,626,933,736,541,450,177,038,922,160,866,296,154,825,338,909,
374,686,264,565,135,324,872,685,240,395,579,990,913,176,201,010,440,533,244,
168,584,622,444,497,695,829,737,086,522,966,488,814,066,328,457,550,275,331,
710,186,109,943,237,360,851,842,082,955,488,168,263,397,640,187,618,879,247,
593,476,053,549,577,021,833,031,617,853,723,538,761,110,255,046,321,436,318,
503,258,603,827,554,362,838,624,078,722,598,510,609,672,098,055,217,164,351,
832,512,600,179,209,951,346,494,844,629,770,714,307,592,580,339,671,995,839,
995,008,824,337,915,127,265,182,629,096,467,361,404,670,708,662,396,667,446,
652,227,649,401,021,632,582,812,311,684,176,243,931,037,429,360,334,444,450,
984,153,548,249,525,927,910,229,716,961,577,926,560,040,475,165,970,248,694,
193,869,234,251,967,440,108,088,161,437,210,783,893,834,608,352,299,638,644,
279,429,516,737,746,815,043,184,671,887,056,295,318,645,514,504,145,269,524,
146,769,991,102,094,404,694,548,043,984,195,807,334,015,006,525,697,111,325,
254,129,137,487,432,433,659,971,019,220,355,357,453,946,266,630,737,444,577,
757,951,882,647,729,482,314,543,184,567,369,185,130,582,696,110,850,347,936,
550,375,754,069,800,558,393,616,804,133,580,537,253,126,064,920,003,625,528,
372,876,671,789,394,086,923,374,956,005,310,133,583,138,876,131,959,914,971,
740,608,688,603,740,892,692,227,002,953,922,146,200,485,857,543,867,159,260,
133,559,941,960,373,997,659,519,491,979,774,184,178,846,363,240,238,345,842,
777,741,302,191,468,244,400,680,680,855,714,660,762,394,263,880,565,293,590,
713,711,816,311,775,316,112,806,547,180,534,395,747,885,107,119,877,952,892,
941,767,754,303,205,712,897,012,355,018,030,278,396,584,401,276,507,051,996,
004,851,808,031,955,950,238,116,199,874,743,288,359,934,810,573,006,303,709,
523,480,312,126,410,679,303,628,978,548,877,603,040,853,184,720,907,801,948,
882,799,023,694,734,762,603,703,235,206,748,540,741,973,378,446,938,097,973,
165,467,904,465,532,321,301,773,668,932,550,965,382,434,985,698,324,700,367,
642,040,788,153,111,341,249,434,693,704,894,499,855,486,297,641,563,876,243,
882,239,888,494,043,611,988,048,217,884,867,625,668,912,376,187,884,415,808,
282,284,794,505,058,667,170,766,500,463,363,963,854,531,104,738,040,359,672,
355,299,198,989,108,109,301,701,243,542,303,823,412,893,759,839,445,482,045,
713,595,714,511,416,649,415,224,083,572,813,008,447,445,589,321,890,987,362,
222,545,071,939,241,430,109,122,754,620,896,921,923,201,896,801,349,367,082,
731,820,198,803,541,416,362,449,849,569,681,272,514,941,412,052,202,554,965,
567,202,018,612,897,509,344,801,462,434,836,237,534,313,648,316,541,608,587,
264,142,389,308,982,042,760,027,963,304,146,753,972,734,666,566,626,963,077,
288,179,407,941,361,903,720,125,497,208,274,856,587,294,202,058,555,520,733,
076,883,466,315,359,007,441,352,712,077,249,473,330,482,002,141,891,264,970,
142,679,503,498,919,990,360,483,996,398,084,280,071,555,626,193,849,631,790,
693,046,140,123,705,943,955,425,361,993,298,721,832,274,190,663,359,492,615,
714,783,354,825,634,364,236,814,628,168,145,442,317,350,550,200,439,405,396,
566,953,243,567,139,863,116,107,712,672,489,352,308,910,433,812,476,715,214,
928,543,111,929,323,294,108,639,238,313,615,919,028,887,383,635,435,265,660,
646,294,936,027,606,649,236,057,853,047,445,603,800,788,868,553,316,727,959,
962,733,497,288,213,846,651,853,274,571,888,975,317,707,217,213,516,577,897,
804,197,645,177,963,741,617,722,543,626,417,171,542,267,574,017,245,137,593,
608,353,826,483,367,340,762,228,763,407,845,296,120,791,149,641,659,830,067,
140,963,104,342,945,887,185,127,180,156,547,406,348,344,570,680,599,460,515,
239,391,377,612,493,995,222,916,871,849,558,824,584,409,951,107,812,963,580,
684,552,090,045,877,887,184,014,105,365,477,599,306,119,107,540,449,282,034,
181,481,013,107,764,705,925,010,548,300,526,361,609,221,260,209,977,070,893,
384,292,615,152,448,326,935,161,715,297,785,292,119,143,251,079,269,500,525,
203,621,214,155,113,032,331,472,271,777,586,007,234,749,652,890,249,420,375,
195,775,830,917,488,911,967,147,060,504,545,401,574,799,184,171,023,962,326,
169,320,673,423,419,841,621,493,082,184,263,569,314,439,176,315,359,569,017,
877,879,020,087,144,302,626,831,786,890,203,676,353,172,015,374,415,457,384,
979,267,077,331,525,991,788,257,675,122,984,459,313,200,854,329,814,214,883,
990,376,951,966,520,851,533,411,847,399,357,307,570,567,025,306,484,599,600,
289,486,169,482,541,276,637,280,015,705,326,863,540,058,038,493,431,891,194,
095,518,173,083,937,931,318,578,372,630,768,657,084,219,206,354,580,795,520,
477,608,929,463,676,435,560,657,979,629,219,324,820,066,773,346,410,498,572,
338,335,034,166,335,474,332,986,066,110,564,971,000,968,689,410,764,891,111,
171,665,840,688,619,772,934,963,240,683,560,814,531,190,261,641,748,688,103,
401,826,781,000,870,910,681,972,565,716,634,409,781,884,035,939,414,678,395,
478,088,336,352,185,276,251,827,094,016,710,049,967,848,911,037,958,122,063,
106,370,742,477,945,318,440,245,240,679,450,592,156,898,243,012,396,732,569,
925,671,227,601,655,996,932,926,855,899,808,544,858,767,638,912,098,835,190,
554,539,431,579,937,910,125,985,775,555,736,264,897,740,582,939,245,715,555,
649,946,959,340,756,057,087,345,843,487,685,305,542,279,661,310,920,308,112,
425,361,827,612,114,592,580,894,794,057,040,228,487,155,200,735,341,636,129,
006,477,773,780,707,291,634,105,027,001,770,426,696,188,642,671,857,783,513,
392,104,208,078,509,152,926,539,546,954,537,283,598,768,468,594,013,293,850,
085,278,949,935,986,229,584,579,072,647,132,468,165,977,622,227,845,663,680,
555,886,954,871,168,730,642,778,204,450,202,050,535,416,017,252,115,386,160,
784,381,172,968,022,394,627,102,376,179,669,268,142,164,806,015,433,092,499,
019,737,800,234,479,558,724,877,696,558,331,412,870,783,794,675,644,864,838,
402,139,024,283,666,436,518,913,543,374,870,966,361,547,238,834,515,096,024,
366,313,601,415,982,858,099,126,841,512,439,176,830,279,676,580,428,120,872,
117,696,704,644,835,779,705,854,824,892,675,299,046,126,455,908,210,600,101,
888,688,401,072,004,688,259,012,281,962,219,732,715,124,015,278,491,798,930,
780,761,949,710,525,188,728,348,561,922,238,682,613,067,813,874,116,418,800,
318,281,525,929,372,084,906,893,779,641,480,783,194,934,226,947,384,745,530,
614,458,834,227,143,957,222,596,825,896,283,020,804,367,667,904,914,806,034,
503,093,028,135,728,063,291,973,690,285,146,735,651,223,602,878,499,802,084,
893,403,033,456,377,199,079,884,364,800,362,478,750,555,758,331,449,878,715,
810,944,608,428,045,988,189,552,927,076,726,260,014,318,828,537,145,020,728,
229,544,480,972,784,189,482,944,014,838,987,628,106,527,905,334,841,201,393,
696,984,227,458,680,402,124,378,013,561,419,207,507,068,369,015,888,134,528,
136,837,061,181,346,878,537,678,294,107,562,199,980,157,442,087,539,033,543,
758,325,677,469,366,481,436,765,384,463,150,972,553,401,991,050,792,766,596,
349,072,482,002,513,655,365,196,593,431,961,112,422,590,043,611,951,570,195,
505,733,161,575,073,535,939,233,627,285,844,638,782,443,068,195,560,246,132,
568,626,609,893,657,824,054,247,800,862,622,860,569,584,478,525,549,452,304,
853,596,861,075,755,250,184,650,818,485,811,027,100,953,422,893,346,643,181,
171,642,984,121,564,254,860,376,905,642,582,296,068,648,871,311,754,782,062,
608,882,024,164,023,390,943,485,867,325,852,109,467,722,056,445,001,691,685,
457,864,632,114,269,363,165,641,366,368,217,376,086,749,805,394,164,474,731,
591,806,126,522,809,079,678,090,625,950,767,090,423,388,184,115,664,505,641,
178,676,039,920,673,296,784,312,173,627,908,682,980,784,629,122,619,032,462,
598,918,360,287,494,075,055,118,214,095,484,469,109,340,133,922,145,925,445,
111,823,371,216,587,277,878,010,319,787,678,202,877,452,477,423,366,110,033,
227,394,995,564,945,791,491,475,276,551,159,743,149,304,953,206,350,965,625,
927,504,495,251,689,582,480,752,744,943,447,351,598,829,981,786,509,055,710,
405,235,898,046,514,085,003,828,659,990,428,146,967,858,690,079,667,533,263,
783,207,564,808,811,385,331,606,580,789,288,577,925,533,121,500,885,888,745,
164,948,291,300,618,805,341,984,654,501,141,187,467,253,799,486,027,864,898,
666,650,287,282,299,830,644,122,467,774,467,965,753,015,651,620,803,837,025,
714,736,650,918,022,465,281,114,360,635,335,458,240,854,949,338,996,346,459,
015,911,701,459,439,088,244,603,855,321,764,335,341,852,543,829,631,806,601,
276,091,687,208,419,731,697,192,425,664,313,706,429,595,508,196,997,634,155,
287,341,481,982,222,088,177,339,891,494,475,152,346,320,604,763,561,997,845,
611,875,144,973,268,637,015,669,097,619,696,404,284,401,635,138,734,832,634,
936,901,411,782,252,008,562,146,563,903,005,165,455,594,527,542,418,285,177,
972,779,425,145,165,833,309,128,200,209,209,325,536,133,972,365,922,909,455,
419,324,935,659,884,957,168,193,625,825,417,392,638,838,026,496,794,335,818,
808,829,606,012,504,460,112,984,279,879,756,444,626,888,834,316,469,939,231,
464,983,139,101,169,613,619,662,720,531,807,084,972,402,750,312,519,043,793,
422,684,650,008,270,337,685,537,169,372,111,500,730,211,511,560,842,914,808,
504,473,604,076,218,523,341,158,769,558,258,331,659,357,088,099,479,412,408,
310,110,312,493,106,591,072,098,670,958,799,506,208,788,921,757,245,186,319,
108,241,640,557,862,545,327,460,907,931,162,135,994,654,006,110,839,184,263,
784,388,074,132,644,607,127,966,806,450,018,102,591,798,512,142,784,762,924,
332,065,601,325,493,397,687,947,813,627,478,708,717,155,559,651,305,537,953,
218,561,505,373,994,938,680,911,721,099,614,047,568,134,372,254,358,865,938,
374,101,620,167,873,439,866,785,347,942,166,218,523,164,087,228,133,530,667,
199,316,400,346,723,955,426,098,233,514,432,947,756,572,949,225,226,053,358,
326,370,328,336,993,031,445,364,485,280,023,227,367,586,505,029,887,499,423,
243,507,997,523,573,486,453,559,817,673,345,021,687,962,238,970,524,809,321,
893,627,937,429,904,824,204,378,021,924,825,983,331,656,780,726,563,913,178,
108,461,571,334,191,311,095,728,658,021,506,435,652,271,737,696,780,163,890,
093,536,262,827,183,779,821,655,279,814,228,628,140,437,009,803,684,449,621,
893,186,504,147,138,779,767,577,591,379,221,831,644,586,520,018,935,669,810,
528,724,296,674,015,239,432,232,100,923,914,451,259,438,055,742,703,660,927,
194,290,999,387,659,823,283,725,649,011,745,608,699,763,670,266,242,371,375,
563,297,772,005,140,490,945,039,128,484,051,440,114,237,715,655,492,216,187,
793,082,496,884,670,832,229,788,377,694,071,022,426,653,104,811,012,609,965,
986,050,577,080,913,133,946,909,139,226,866,815,957,217,432,500,318,749,114,
447,225,603,135,834,828,002,417,559,963,213,642,509,182,752,819,879,217,673,
451,003,924,137,610,029,471,913,827,760,297,921,704,272,330,431,878,722,273,
822,436,167,739,559,072,303,203,559,442,783,776,690,452,993,667,726,873,083,
996,089,934,000,758,309,997,504,614,929,607,700,768,004,809,497,988,513,740,
896,402,866,957,169,433,593,241,887,359,197,028,988,727,337,817,487,651,999,
213,464,808,555,100,747,622,979,886,329,037,757,707,898,512,825,186,192,306,
274,408,961,642,828,538,186,654,041,235,185,502,860,805,440,942,769,517,379,
114,742,869,912,398,907,199,263,153,721,565,428,577,066,226,169,969,475,549,
584,230,595,219,331,823,796,331,765,754,108,238,810,225,804,416,540,836,398,
371,325,596,756,753,981,010,259,137,011,710,340,690,709,492,884,729,756,849,
731,513,609,132,254,385,840,345,337,133,616,967,305,523,555,411,423,054,835,
972,273,182,949,822,483,416,387,857,249,630,229,111,002,685,935,841,044,838,
251,468,864,143,975,179,894,984,510,869,759,426,157,939,247,338,989,475,397,
286,183,263,753,297,833,903,492,140,914,299,710,412,786,418,309,364,120,499,
872,963,483,289,634,310,573,448,718,904,665,184,977,751,506,319,042,603,366,
202,551,333,533,591,047,091,404,755,631,958,508,289,290,617,746,896,879,349,
300,953,623,633,701,356,017,366,797,637,095,617,764,606,208,247,874,167,575,
814,090,169,350,883,458,668,711,373,266,552,288,762,929,578,335,459,095,388,
529,696,032,473,354,687,336,597,241,859,000,548,959,683,619,106,615,241,324,
666,959,988,952,706,249,643,601,936,610,700,117,165,351,838,734,482,513,178,
829,467,657,495,566,181,517,480,590,265,987,577,519,613,170,413,737,491,166,
355,882,630,662,127,410,543,547,503,818,782,751,600,204,441,989,080,408,098,
400,221,214,529,481,943,216,710,997,759,693,851,945,684,358,595,294,036,678,
582,115,776,812,051,423,045,279,775,871,539,905,886,504,717,055,741,073,190,
015,514,835,255,790,753,729,414,389,777,134,292,574,935,131,735,370,349,390,
089,985,842,008,930,098,505,620,621,699,031,496,499,153,525,060,576,179,011,
305,100,459,805,690,551,916,873,098,378,307,337,429,206,989,263,456,944,665,
947,166,128,244,911,268,431,168,010,241,298,607,955,484,248,951,570,559,875,
036,826,930,733,430,451,539,316,832,464,142,669,018,195,889,561,272,476,956,
785,720,150,955,576,923,276,098,666,341,159,640,871,749,866,269,406,626,976,
010,206,180,895,586,014,788,263,428,053,954,072,989,815,195,476,501,776,459,
395,511,005,576,912,750,014,804,908,555,697,998,752,611,564,452,787,329,865,
750,381,389,697,386,722,603,182,793,998,896,166,367,225,509,003,993,122,142,
113,351,674,601,887,487,291,136,990,435,227,005,155,897,575,980,685,847,731,
163,864,462,079,186,985,862,966,043,576,760,905,810,121,413,752,214,855,652,
815,236,844,322,799,157,584,223,980,088,546,116,495,073,922,161,716,946,207,
822,922,702,398,115,419,420,584,097,312,241,146,297,908,345,033,763,465,085,
248,827,804,496,493,791,925,565,089,440,578,172,438,105,965,216,762,201,903,
926,591,953,743,067,685,892,182,349,866,509,492,636,500,584,084,266,862,483,
410,614,717,172,866,265,560,376,411,288,989,039,672,783,053,310,099,852,452,
187,047,273,440,935,404,747,850,474,125,917,130,120,004,427,248,461,234,124,
202,790,124,355,396,759,507,587,278,173,133,769,497,912,050,172,919,711,370,
989,146,937,066,358,671,916,089,337,699,025,363,224,464,275,861,231,675,272,
446,561,020,662,290,178,611,275,670,596,499,118,123,497,593,549,529,024,097,
541,617,759,033,246,271,159,292,652,948,149,633,006,901,865,666,497,523,896,
036,330,932,776,265,394,226,430,146,019,242,675,335,130,504,331,665,447,731,
719,266,142,468,631,114,110,692,464,553,455,344,705,518,633,458,034,974,980,
627,199,195,108,460,963,663,993,424,751,070,446,272,772,024,268,611,656,607,
602,896,534,167,917,862,044,867,364,857,617,302,716,893,835,967,235,428,051,
182,891,629,709,699,049,385,914,217,812,833,425,068,513,651,804,506,391,118,
256,881,423,904,193,754,393,666,450,880,629,353,299,155,602,788,541,750,399,
182,683,467,574,203,189,894,244,560,715,646,229,667,768,923,785,525,491,885,
121,000,666,867,360,691,429,623,490,870,982,469,579,058,354,315,579,294,066,
784,410,414,944,405,858,260,642,638,275,052,009,112,857,446,124,356,493,233,
283,955,762,928,046,080,196,544,498,927,657,878,848,125,824,244,924,828,138,
683,031,425,482,590,336,322,503,701,363,781,774,876,825,203,852,161,806,158,
129,437,283,492,681,117,685,152,432,318,050,779,586,338,900,414,057,050,568,
654,132,428,119,820,924,968,216,755,207,935,674,275,661,852,580,352,307,100,
746,295,228,601,607,073,221,425,432,873,998,753,679,876,434,011,918,569,801,
815,116,278,203,801,231,893,441,657,838,299,729,235,725,645,244,904,592,677,
885,298,746,764,982,528,971,579,895,707,867,144,197,250,665,217,672,564,021,
340,115,940,786,432,228,492,737,577,950,919,539,280,475,783,694,922,720,289,
749,965,313,228,775,964,097,620,880,660,938,419,193,734,126,536,186,784,717,
687,209,796,396,967,849,058,285,337,180,358,311,667,993,887,522,998,850,405,
936,933,389,583,927,469,148,111,321,284,636,847,122,763,585,229,713,782,004,
091,051,834,615,900,987,306,010,115,294,493,777,965,799,198,405,762,382,884,
185,940,408,705,616,522,965,091,048,840,462,380,988,946,422,375,578,979,526,
962,609,537,552,274,607,812,614,947,685,315,482,727,420,358,475,857,204,003,
481,075,167,730,441,846,052,514,367,846,991,803,363,560,488,941,773,609,782,
478,722,014,010,413,794,605,658,436,702,116,532,768,565,302,687,918,509,927,
488,907,475,443,077,696,399,835,651,962,568,833,053,219,653,760,555,339,978,
193,740,776,443,756,993,971,356,220,547,423,605,063,647,351,187,683,349,416,
222,789,316,676,990,800,860,849,011,457,561,289,765,049,240,926,440,049,435,
528,133,224,492,549,985,661,888,112,742,767,359,476,298,340,859,195,059,484,
769,264,016,709,604,533,482,526,872,447,156,601,771,570,840,530,830,615,612,
048,318,992,782,855,996,854,189,972,692,874,654,584,047,731,718,418,927,354,
814,235,978,497,453,314,350,276,867,903,064,200,657,386,860,051,929,990,513,
546,527,408,939,811,380,797,369,242,760,719,433,579,213,501,585,286,409,772,
934,538,253,956,432,232,881,996,073,900,582,051,487,222,101,216,138,483,213,
544,550,806,025,101,840,984,876,880,445,598,133,035,193,568,483,517,773,588,
828,388,774,475,458,605,166,686,779,202,110,561,178,858,604,606,988,753,468,
282,756,326,524,593,639,908,903,186,110,580,032,193,434,760,683,499,354,579,
518,513,461,148,678,377,748,574,272,363,574,055,570,149,375,982,748,618,162,
529,841,382,536,754,726,917,164,147,218,680,692,152,887,287,521,962,709,009,
224,395,918,735,234,961,411,070,866,901,447,360,726,315,107,198,966,969,121,
361,300,185,752,401,210,165,132,448,989,390,130,785,749,184,328,988,741,361,
303,261,524,099,554,644,055,513,456,450,672,251,132,997,602,773,025,097,638,
451,362,415,596,135,217,074,543,524,805,593,767,130,456,073,283,402,855,311,
289,325,022,649,572,892,461,991,101,985,865,746,263,992,509,906,617,234,348,
785,612,806,727,566,753,731,152,976,982,758,041,671,858,737,573,420,361,871,
360,547,659,337,496,019,781,532,427,874,461,248,250,613,562,598,762,716,434,
075,024,588,049,725,098,112,646,190,203,713,377,328,010,975,558,819,849,727,
400,145,302,506,181,943,982,742,069,236,751,992,191,190,458,944,804,220,539,
360,711,627,748,601,598,899,553,827,059,685,734,637,463,804,625,667,076,523,
002,938,734,617,555,719,209,258,772,075,294,870,981,975,756,758,657,105,125,
206,523,698,016,490,885,233,275,873,146,325,597,689,276,450,693,344,894,741,
392,464,542,036,435,147,144,227,638,847,725,516,763,351,737,320,384,141,432,
069,848,163,061,738,126,432,807,684,577,364,046,361,011,962,002,138,160,544,
914,956,907,652,654,164,900,551,163,992,770,770,604,715,005,716,463,906,835,
011,970,053,569,035,894,420,774,827,351,668,354,264,620,320,742,243,357,632,
192,626,328,790,794,385,299,777,302,542,543,757,982,472,811,442,808,708,564,
285,716,844,306,386,366,098,131,019,066,492,056,368,829,646,959,355,204,130,
577,587,973,753,416,038,749,954,360,702,337,599,166,433,731,138,439,853,278,
025,906,221,481,970,426,697,210,200,413,730,011,541,660,105,132,273,341,207,
804,642,914,868,753,770,857,470,554,579,832,433,228,733,288,480,598,407,920,
604,433,129,120,552,790,836,636,652,704,224,138,921,688,917,351,034,336,386,
316,172,938,211,718,535,175,130,164,736,946,591,030,148,925,166,540,254,121,
908,595,069,836,101,790,772,773,405,154,245,271,954,720,328,260,115,940,761,
391,225,356,126,510,157,675,061,300,052,185,554,496,318,441,869,899,046,180,
067,901,451,318,305,745,448,972,430,699,148,304,019,659,331,248,186,768,940,
666,520,637,090,589,795,022,571,961,441,597,507,945,111,096,694,192,912,222,
451,379,768,757,887,595,952,503,795,780,860,164,770,339,442,761,999,014,790,
386,967,168,579,379,408,245,910,001,907,252,462,202,232,652,529,043,511,795,
380,435,886,051,798,655,871,185,111,888,917,255,368,061,792,449,150,915,821,
004,715,365,708,694,244,735,591,984,565,492,085,257,238,037,124,184,854,183,
569,569,900,482,866,209,095,974,467,549,960,308,156,453,693,528,362,224,296,
524,447,042,269,862,649,351,719,759,360,745,165,379,526,466,771,451,391,616,
931,822,846,033,762,497,684,253,706,189,462,421,712,956,131,328,109,543,847,
931,951,689,888,154,303,468,736,424,525,997,634,495,064,683,041,668,885,970,
295,994,138,552,123,027,751,880,199,018,728,067,832,273,307,252,691,762,414,
169,600,072,837,960,444,333,912,550,691,588,791,481,897,577,652,901,414,632,
950,277,940,476,759,366,771,650,049,448,701,887,009,902,181,897,059,488,142,
017,991,954,331,351,271,699,164,227,144,894,360,384,085,495,921,758,137,045,
249,058,799,284,260,749,796,871,279,892,196,892,203,331,342,419,234,015,732,
162,338,853,210,991,823,272,019,619,561,018,199,762,131,603,512,739,131,449,
028,281,778,442,277,633,563,890,135,063,067,469,213,102,811,587,670,406,908,
288,233,544,955,349,854,039,702,117,589,121,583,980,570,714,642,070,517,990,
874,044,861,925,610,217,559,685,428,790,019,439,292,569,135,810,124,930,523,
936,953,692,977,998,202,129,001,236,201,723,020,622,691,091,153,253,676,731,
936,102,752,177,482,913,423,229,956,079,260,383,744,367,466,480,039,534,479,
375,414,665,321,558,834,616,585,355,860,120,982,164,121,380,885,185,312,043,
142,899,056,737,222,032,408,598,196,181,078,087,737,407,663,235,047,134,850,
635,003,519,708,577,758,021,430,735,086,855,113,094,777,159,083,376,789,626,
983,901,060,535,516,991,142,970,572,711,886,317,701,714,629,108,840,155,381,
750,206,711,144,256,342,876,359,813,269,560,371,240,431,953,135,696,624,149,
372,051,819,775,153,426,278,993,917,372,829,807,697,971,831,955,447,683,634,
533,499,051,992,702,788,816,029,158,317,894,882,364,403,100,839,966,921,887,
961,282,342,480,759,327,186,648,654,595,455,052,008,704,704,661,638,332,389,
342,967,333,434,668,713,179,380,085,121,043,359,364,449,241,107,934,500,942,
944,431,361,221,751,442,282,141,672,457,558,343,173,989,305,216,980,862,382,
950,393,817,507,254,245,306,024,293,049,779,098,126,376,346,689,281,218,836,
305,836,908,799,395,425,257,979,538,801,431,399,470,954,314,487,043,870,309,
920,950,798,983,103,260,357,331,174,296,162,265,661,366,023,097,642,293,018,
431,080,764,590,638,533,274,694,639,788,453,473,524,662,877,782,591,548,879,
315,485,349,521,382,563,996,619,415,555,154,460,701,898,773,480,187,132,413,
774,587,175,261,065,748,198,850,986,497,165,661,873,988,112,039,297,235,682,
957,732,859,628,337,978,315,254,949,016,590,940,288,015,175,501,720,751,874,
729,571,611,333,456,245,992,610,058,235,297,150,219,383,127,544,430,691,011,
917,190,879,085,344,276,514,291,655,148,691,703,195,612,521,518,439,441,892,
062,613,670,986,690,645,097,723,075,687,499,975,604,719,268,060,867,369,992,
214,297,775,320,843,167,738,117,522,372,183,612,426,503,088,249,812,323,581,
969,482,856,966,381,798,479,095,146,712,394,714,378,394,651,319,417,080,812,
044,885,823,560,759,046,278,222,547,441,676,887,494,121,663,687,021,901,446,
433,208,428,588,848,340,761,819,316,859,784,494,746,800,706,749,316,642,562,
109,230,481,911,062,706,481,570,845,796,347,024,619,594,278,273,851,670,580,
547,317,767,953,637,342,123,361,662,483,701,199,523,588,688,767,680,074,362,
492,826,397,302,109,229,498,340,536,891,099,133,855,139,406,584,201,776,260,
368,783,874,247,790,444,606,616,087,904,681,811,168,511,441,898,800,298,356,
728,329,621,320,832,492,205,590,942,083,224,518,807,991,526,022,245,340,074,
622,121,637,990,486,886,798,370,517,763,021,105,799,586,925,640,543,821,801,
352,175,120,393,877,523,133,659,921,521,811,162,504,258,449,528,331,743,481,
214,310,030,102,246,793,101,637,616,897,109,336,253,673,805,337,309,734,690,
758,344,572,763,400,907,310,646,761,919,505,295,831,317,617,685,932,092,025,
485,982,422,436,844,041,867,036,074,736,747,296,366,934,110,593,218,264,260,
833,700,789,446,348,394,083,774,627,841,397,154,618,538,517,962,909,555,337,
201,507,326,365,576,656,775,140,375,847,631,650,912,427,209,351,000,722,239,
490,919,656,711,108,117,453,691,098,278,966,132,753,111,343,566,286,497,709,
468,143,667,465,024,309,526,204,508,933,537,328,729,079,201,548,851,081,757,
619,015,478,904,734,180,830,729,949,557,946,944,530,020,300,902,956,922,363,
002,212,161,264,432,251,666,307,832,098,787,734,497,932,979,188,930,781,170,
157,956,849,084,545,130,375,659,151,075,350,176,857,974,411,010,290,220,643,
956,794,367,212,061,756,577,460,752,993,730,133,658,191,260,905,517,127,107,
584,956,714,845,761,405,059,066,746,802,843,879,766,101,149,583,516,250,489,
668,378,295,249,140,811,331,370,851,187,085,710,625,362,696,770,454,293,952,
947,809,790,488,744,301,287,179,691,743,161,455,885,027,782,280,378,349,970,
377,327,714,386,800,749,721,376,749,981,863,298,053,549,398,187,871,707,505,
295,387,049,539,255,455,424,543,133,043,273,443,750,200,541,193,050,598,048,
903,178,477,056,087,726,821,764,656,826,203,770,606,318,454,358,915,690,767,
281,274,345,199,092,916,451,622,274,541,415,082,849,270,488,369,205,308,697,
626,254,348,446,407,014,705,191,120,043,043,741,910,260,928,210,206,576,043,
685,597,797,174,275,526,640,723,087,295,421,764,772,854,672,646,773,331,531,
154,030,652,408,772,779,764,923,131,359,413,135,047,410,491,224,208,812,955,
147,653,055,036,678,567,000,964,685,740,683,885,578,683,090,786,198,554,618,
633,201,296,062,098,099,532,334,846,647,214,558,714,411,370,612,915,028,012,
413,946,765,692,630,233,708,674,167,747,913,451,378,513,076,285,798,902,319,
439,485,089,446,049,390,245,903,628,953,808,873,602,297,424,527,800,684,220,
908,693,117,398,567,485,307,209,208,921,146,454,459,075,062,667,934,659,350,
410,928,314,301,871,888,338,132,562,077,971,935,574,712,432,987,576,823,048,
039,250,219,662,694,243,389,205,194,822,986,144,731,786,873,729,123,192,489,
141,595,324,435,595,628,639,270,163,312,886,484,217,748,255,789,823,716,764,
281,278,171,923,366,091,138,327,305,570,348,873,865,790,236,703,706,639,849,
575,497,523,659,204,315,052,868,406,515,547,941,095,686,901,014,956,381,649,
215,330,582,003,669,776,315,981,457,563,769,784,783,862,265,946,681,540,518,
865,614,592,960,970,312,602,079,697,684,894,475,970,798,820,080,209,654,823,
541,209,807,988,136,187,300,927,223,260,446,654,085,088,328,067,750,706,436,
178,037,226,314,874,736,868,838,731,041,758,036,517,466,219,641,957,158,574,
869,653,608,003,564,645,234,783,448,217,135,879,146,141,575,600,951,301,069,
288,432,962,084,922,384,396,942,944,161,213,193,189,793,814,555,576,051,838,
579,913,189,938,923,521,920,921,278,625,537,381,422,394,933,587,585,117,007,
534,624,218,485,471,666,038,420,537,799,235,742,803,511,770,077,049,576,838,
444,581,927,078,488,604,060,645,234,678,432,228,324,943,239,092,940,219,706,
677,718,402,877,558,757,783,005,681,974,921,216,539,159,735,165,469,837,678,
138,072,981,319,499,250,677,236,562,878,114,968,546,924,080,416,026,611,881,
132,123,675,946,221,532,646,268,001,954,107,843,358,714,990,124,786,313,039,
593,947,436,388,484,402,842,525,880,812,795,133,009,702,006,091,538,692,417,
550,556,965,494,142,994,815,808,637,446,467,310,087,499,961,067,951,694,138,
326,002,400,378,468,273,696,878,532,424,739,254,279,199,501,039,955,057,628,
656,938,553,250,705,653,403,424,270,084,235,360,524,423,511,172,629,491,635,
699,805,105,461,251,217,124,556,501,975,310,061,520,499,296,042,809,509,160,
818,572,536,254,108,198,212,836,000,149,257,390,983,209,353,823,653,005,975,
386,899,657,996,618,171,940,583,349,703,287,103,390,818,791,539,538,495,115,
200,106,316,305,258,865,658,408,746,819,900,651,161,881,245,788,368,181,705,
594,009,124,351,825,174,315,462,068,864,043,834,616,209,620,733,378,696,148,
549,443,477,038,293,697,294,542,963,294,934,189,945,435,478,893,052,454,158,
106,127,794,897,193,514,771,040,473,425,835,035,515,859,159,950,152,393,337,
254,609,711,720,010,068,075,356,733,717,414,539,153,557,898,849,602,911,187,
575,900,043,563,825,611,603,681,474,065,625,953,107,150,383,044,308,721,866,
763,560,062,233,531,411,487,967,083,795,401,502,072,122,476,126,852,684,879,
372,896,460,097,212,099,730,603,361,471,624,880,027,409,218,183,861,720,733,
540,325,460,213,917,886,640,021,010,796,085,136,621,530,974,733,828,359,650,
519,329,565,104,925,597,643,644,527,713,713,128,815,520,539,035,343,985,696,
066,222,700,319,438,405,324,182,595,006,199,581,999,339,272,575,326,769,042,
176,747,757,282,355,435,765,064,296,395,340,128,372,559,680,579,077,552,095,
505,638,643,913,836,320,284,870,433,280,317,062,564,174,690,910,881,514,307,
083,517,188,460,527,786,996,365,265,534,303,200,893,749,536,016,065,961,968,
731,614,281,074,730,451,932,030,137,179,917,435,975,880,029,981,575,940,169,
045,565,804,959,421,612,811,133,737,805,722,739,750,898,005,975,546,270,461,
511,554,082,926,985,864,108,974,435,185,831,111,605,260,891,330,831,047,740,
110,723,475,478,334,756,392,068,749,175,602,640,179,947,503,970,178,992,894,
153,854,672,137,130,711,976,750,034,736,429,199,320,579,391,764,194,878,401,
506,914,743,014,044,934,177,774,471,515,140,200,084,137,163,640,790,718,348,
163,131,809,663,221,450,625,229,383,929,184,352,762,668,534,453,182,144,862,
046,542,929,880,695,667,042,404,969,340,604,528,171,251,125,632,968,393,123,
253,158,284,686,152,890,792,303,775,006,008,013,657,020,912,613,175,646,181,
616,114,931,860,902,065,531,466,096,821,079,663,081,226,686,581,022,703,513,
323,795,298,559,957,371,874,329,766,815,110,549,606,997,677,378,815,846,416,
686,698,568,740,729,837,178,976,595,879,689,159,345,079,772,222,474,307,440,
860,207,832,538,966,056,898,906,006,217,259,649,682,107,166,832,426,039,690,
864,532,291,422,829,426,220,540,740,901,144,187,704,096,702,565,869,156,137,
093,879,572,842,004,176,469,959,954,312,546,505,287,914,645,121,102,834,340,
714,321,424,785,212,956,127,180,372,074,534,209,636,484,739,683,040,671,972,
829,660,035,738,043,175,558,017,102,028,110,636,983,216,810,887,962,390,088,
333,258,012,515,236,531,330,626,038,455,180,417,449,631,117,188,270,585,700,
736,282,747,833,194,853,766,582,665,058,964,740,600,655,328,991,536,638,440,
923,696,961,040,963,525,376,880,347,476,110,114,296,618,028,078,664,323,396,
461,877,701,908,941,412,793,293,185,267,229,647,292,694,829,651,497,282,620,
717,475,195,894,493,991,868,006,316,305,039,318,106,190,622,533,291,833,565,
211,493,424,692,732,305,243,713,109,493,068,084,655,740,634,736,633,552,385,
054,499,073,533,760,736,507,298,208,590,043,585,625,420,753,884,141,082,737,
214,099,915,684,972,739,655,676,441,345,653,037,575,563,708,943,281,122,990,
400,305,887,027,943,977,806,136,681,768,230,265,169,829,439,252,777,723,858,
602,167,659,227,858,443,191,996,705,416,505,647,577,367,395,281,335,739,563,
983,925,924,068,058,957,378,172,141,068,028,331,102,309,929,313,332,628,998,
333,676,667,019,432,870,381,375,973,445,109,826,792,246,939,353,328,371,372,
331,453,282,262,823,058,828,310,710,791,595,396,079,510,248,297,137,722,715,
890,935,794,622,912,053,921,242,955,349,415,877,607,207,248,480,910,161,414,
429,729,698,568,142,375,043,930,611,514,302,552,462,613,364,620,947,675,354,
249,456,660,952,856,238,916,900,584,473,858,972,365,750,156,582,699,445,794,
527,100,479,340,613,283,912,455,698,033,270,034,526,398,158,714,676,014,719,
507,933,852,581,807,677,186,254,642,455,977,823,858,282,833,447,373,012,658,
073,846,277,712,741,825,013,390,130,452,220,344,629,168,497,811,403,006,857,
395,132,944,029,932,045,674,331,785,402,312,586,751,106,311,762,549,818,846,
893,462,716,240,607,344,299,071,398,916,744,058,425,818,886,066,784,361,120,
013,095,045,691,187,365,840,726,163,484,076,727,420,355,464,140,830,780,868,
634,407,364,685,309,176,058,877,851,260,594,579,034,796,631,854,832,674,454,
183,323,567,663,528,442,627,136,078,011,979,275,708,749,319,795,948,344,718,
055,448,987,395,818,095,417,466,936,969,734,776,648,595,971,867,848,820,612,
498,821,855,472,165,729,981,430,814,110,567,791,889,412,072,237,627,273,202,
708,203,674,952,520,192,258,499,300,364,053,271,785,788,717,417,607,023,114,
778,861,291,468,633,285,000,487,331,013,877,736,734,840,185,561,125,201,897,
557,834,349,389,293,353,972,639,443,847,800,957,157,436,135,703,199,480,339,
635,639,993,003,608,380,493,802,545,050,290,111,260,366,974,534,020,029,987,
981,818,679,881,102,131,419,844,459,821,759,630,815,381,362,720,141,930,659,
693,753,821,769,543,482,017,020,379,435,867,350,342,424,322,420,652,726,179,
208,924,063,779,488,170,646,652,012,879,919,555,017,568,011,770,997,209,762,
816,999,365,180,725,643,437,033,713,879,414,987,445,785,296,927,295,780,030,
073,012,311,121,439,444,776,409,031,481,432,909,283,727,056,398,208,909,758,
467,728,596,185,620,371,189,772,271,360,104,231,530,145,643,021,458,909,146,
848,579,821,199,427,336,256,444,721,408,672,199,731,360,706,642,955,630,338,
145,530,538,498,935,695,266,319,550,801,227,891,916,999,764,446,713,655,385,
292,363,984,638,124,800,232,684,446,079,635,694,377,390,816,263,994,425,110,
920,898,933,613,872,759,505,262,981,403,552,040,953,706,578,734,297,402,407,
851,558,042,758,255,585,764,595,183,931,037,238,853,543,804,373,177,601,812,
300,539,961,241,679,568,856,485,180,170,151,170,310,586,050,662,328,446,313,
025,568,579,635,328,380,078,598,779,290,090,909,752,304,771,562,858,852,564,
684,467,671,076,124,006,649,602,091,418,504,351,937,684,858,104,396,254,881,
872,537,878,605,793,066,703,370,116,803,309,046,266,116,835,052,096,963,967,
001,539,710,438,358,060,217,682,450,652,431,841,420,678,751,448,798,433,786,
219,392,344,225,218,850,810,218,583,246,426,452,872,810,872,343,144,137,443,
037,487,442,469,334,813,771,606,724,137,384,945,007,208,682,097,039,782,896,
825,734,956,597,420,788,088,258,689,261,322,666,858,321,396,371,297,828,579,
233,111,230,362,902,291,311,157,676,613,657,689,360,839,078,166,711,769,184,
097,226,970,812,097,790,500,711,925,297,585,947,556,683,189,168,003,052,872,
529,283,673,916,013,991,972,259,169,533,919,602,774,500,249,535,284,587,414,
714,408,943,834,486,842,051,837,551,253,905,573,734,107,491,119,606,025,292,
718,518,822,608,342,740,492,279,261,882,415,020,820,059,907,034,778,257,207,
557,609,834,816,562,147,876,213,871,574,809,967,449,723,325,337,530,521,485,
532,708,785,174,704,077,040,665,367,592,518,101,642,840,037,093,231,505,301,
620,959,346,483,666,405,164,771,854,794,051,112,066,462,837,526,559,669,910,
917,841,954,648,897,449,680,123,374,434,343,600,693,816,713,395,161,476,387,
987,661,292,732,560,578,481,666,664,994,649,592,897,559,084,057,997,644,628,
406,174,156,410,497,411,245,539,164,589,908,161,554,507,294,040,470,809,145,
480,003,972,043,090,314,072,024,699,711,241,227,961,916,106,852,518,325,702,
501,658,594,394,978,570,055,227,534,554,062,359,354,814,901,111,229,920,842,
393,092,285,213,563,466,280,212,538,788,189,943,906,661,144,002,158,272,503,
204,686,467,820,984,580,608,879,189,362,818,655,415,878,982,316,998,211,082,
319,058,502,377,307,377,492,608,359,927,549,755,187,421,268,638,399,396,310,
452,588,011,915,609,939,375,580,987,186,651,203,421,026,306,179,299,534,867,
360,950,320,871,970,957,259,044,594,942,335,186,525,745,059,059,881,936,770,
495,100,400,826,214,469,565,619,186,484,871,166,618,866,622,708,253,020,805,
553,895,615,343,273,289,378,331,664,936,585,488,749,040,911,924,329,413,258,
300,151,754,429,376,411,313,827,911,530,421,061,581,541,415,223,637,087,575,
110,287,800,216,716,067,341,905,695,175,403,363,857,191,807,101,295,169,016,
565,987,298,170,048,931,265,662,235,748,292,522,215,348,507,057,462,804,123,
837,112,438,804,021,058,074,214,728,423,179,211,349,803,115,364,629,275,852,
931,147,084,640,505,494,055,035,792,105,822,906,534,296,051,960,045,230,429,
599,330,669,923,458,645,036,340,786,469,403,994,183,599,755,036,497,381,718,
001,967,307,929,468,984,954,827,069,427,281,127,051,128,002,686,253,340,079,
468,800,965,793,045,850,534,975,941,487,384,038,570,377,042,718,471,674,108,
817,398,426,595,270,956,743,052,938,931,134,849,488,256,309,344,617,839,674,
619,317,910,873,492,256,674,561,884,316,337,351,349,302,141,505,748,264,045,
865,676,319,336,134,454,887,924,634,245,777,546,126,500,726,979,700,583,441,
621,472,369,642,894,815,972,516,226,621,443,006,736,222,829,789,639,173,347,
471,447,138,239,415,993,267,607,693,326,075,115,602,760,609,296,482,586,981,
961,692,073,844,420,661,290,712,474,481,419,365,745,055,554,963,633,579,347,
808,885,395,845,951,434,750,843,245,705,466,972,438,499,237,183,458,778,449,
664,785,772,919,860,985,480,833,320,582,395,291,942,744,119,633,411,207,553,
684,221,276,825,623,489,170,050,228,654,112,319,540,585,534,675,139,223,221,
563,621,709,929,925,781,736,938,050,019,671,867,922,522,261,940,713,009,522,
284,388,270,747,810,629,063,390,804,988,827,352,538,978,486,499,838,599,119,
131,924,374,730,934,933,658,187,847,701,380,550,140,392,470,164,228,571,797,
913,631,486,560,090,018,674,516,703,505,048,439,106,663,708,646,281,595,682,
652,270,300,016,349,065,508,228,077,720,803,785,676,997,176,251,286,846,065,
277,257,957,289,908,217,033,614,721,361,651,369,887,105,859,774,654,000,925,
777,767,348,003,436,082,108,640,946,114,181,987,384,503,731,587,347,350,082,
949,602,146,411,289,380,435,949,332,705,984,440,578,330,688,516,282,133,478,
578,741,675,155,288,792,446,975,476,346,697,998,054,787,058,017,981,758,622,
400,495,046,109,679,470,099,747,669,634,237,226,447,294,143,162,555,466,322,
750,109,686,018,853,030,984,588,846,034,905,997,521,262,424,994,066,592,535,
229,395,764,221,365,569,305,807,632,960,408,890,470,531,662,824,597,588,960,
004,378,729,646,722,530,936,822,006,706,659,293,487,510,106,413,370,838,341,
249,550,813,904,307,691,987,420,634,509,144,049,142,779,987,975,033,417,201,
836,540,690,924,936,547,792,721,369,632,476,048,590,299,542,666,550,769,194,
201,086,674,920,721,361,834,952,156,402,691,967,535,746,555,437,003,009,406,
008,841,903,777,347,399,841,327,284,721,207,426,499,141,003,161,683,428,476,
254,917,607,467,149,461,087,458,221,227,584,620,492,287,534,149,818,850,271,
341,796,611,122,415,217,255,865,270,844,996,174,741,987,834,053,156,724,988,
299,986,940,482,199,535,952,943,598,233,396,535,524,044,909,044,828,162,157,
683,868,838,216,925,290,186,544,708,233,222,460,977,008,188,984,597,768,316,
621,657,079,028,190,768,429,787,383,072,958,902,726,494,894,920,557,920,856,
130,210,008,471,632,014,816,487,369,726,140,697,870,510,238,882,709,539,339,
534,168,584,656,733,812,884,285,175,295,930,940,649,534,407,186,892,719,755,
096,535,207,919,573,520,415,969,165,357,351,415,612,044,735,419,382,749,230,
869,888,137,628,252,922,828,172,466,735,432,237,717,986,223,014,097,631,748,
681,336,080,706,459,535,810,188,909,540,978,966,915,484,585,185,037,268,015,
601,941,607,590,749,276,075,740,013,763,473,470,713,229,704,224,185,688,066,
369,550,344,052,113,739,425,315,347,362,763,819,971,647,661,133,128,775,967,
949,789,365,789,124,224,861,598,893,907,151,265,403,142,361,007,263,458,573,
635,900,132,018,372,708,431,774,072,432,798,817,806,035,342,307,819,815,911,
153,780,607,185,439,657,837,608,457,182,484,512,377,284,448,769,799,504,118,
228,013,750,086,108,839,838,309,978,341,814,072,513,275,610,693,118,691,952,
995,919,379,230,607,123,501,108,352,753,996,300,936,031,796,058,153,806,035,
755,541,343,144,012,207,480,571,157,224,912,418,685,397,744,296,510,825,821,
846,992,341,425,531,555,319,990,635,903,844,324,610,714,381,569,242,871,164,
947,299,490,901,824,255,304,621,072,746,418,015,169,847,930,260,607,147,818,
628,009,949,732,556,484,802,358,927,948,256,925,784,379,314,150,223,684,274,
248,852,468,276,154,229,603,766,775,324,934,116,127,016,034,924,578,001,702,
603,794,507,466,827,197,267,060,350,697,117,549,426,032,235,756,762,614,872,
623,982,508,679,271,152,735,858,790,465,669,435,241,767,294,782,353,709,306,
199,466,850,055,084,223,145,763,813,420,817,503,915,382,133,435,211,371,752,
299,493,819,565,332,635,095,969,338,555,590,429,035,270,871,285,881,040,890,
075,260,061,940,328,747,306,532,049,824,911,395,267,857,529,839,837,332,380,
356,460,147,587,641,497,404,703,319,767,471,832,475,207,754,561,726,446,796,
633,363,212,745,614,912,324,347,177,536,457,451,230,934,828,520,501,800,661,
122,874,731,394,807,255,560,340,878,428,243,225,081,301,515,950,427,659,193,
498,645,420,482,313,166,136,143,502,169,987,087,571,291,917,851,238,765,990,
761,994,181,721,535,029,905,356,121,931,990,200,876,442,997,962,348,581,892,
388,372,280,719,327,894,080,773,242,513,665,267,941,939,590,228,664,430,953,
972,110,329,781,847,742,033,567,426,111,859,100,116,376,188,131,901,286,998,
040,547,849,346,813,649,956,561,493,186,683,107,458,834,014,588,450,449,829,
793,883,933,322,826,783,381,626,454,105,140,417,895,334,516,170,717,262,729,
816,487,304,006,873,101,452,809,126,083,209,456,140,081,980,551,506,856,774,
343,661,247,120,381,864,517,566,567,611,259,074,326,353,008,570,898,752,606,
753,090,709,743,574,208,391,033,212,722,305,942,870,641,751,936,491,066,935,
348,328,722,376,224,274,970,631,207,356,961,639,766,419,686,100,091,279,900,
209,426,497,295,280,234,293,506,098,580,783,411,193,254,870,013,049,730,881,
786,263,132,152,318,921,335,188,061,724,548,794,784,245,072,892,699,095,424,
329,365,228,467,363,187,885,431,451,850,607,320,971,603,730,894,446,971,174,
285,128,207,515,260,645,650,011,435,337,240,126,187,748,795,555,884,996,573,
364,196,238,595,374,792,500,886,709,220,358,673,032,375,577,744,782,350,082,
413,038,155,307,696,906,235,230,606,415,669,297,499,476,053,565,804,425,794,
482,838,102,612,728,654,746,693,969,497,322,420,420,391,945,198,229,751,972,
017,671,345,810,122,949,058,107,105,294,523,624,652,748,828,957,607,795,863,
052,774,506,663,936,076,218,601,091,419,872,068,159,795,279,883,540,406,730,
753,799,310,178,612,318,947,745,830,822,348,242,227,125,098,002,529,171,345,
843,654,330,325,869,660,650,744,667,315,428,808,205,245,456,755,170,464,833,
549,113,579,285,195,421,308,553,044,575,301,906,067,501,026,492,800,690,623,
158,949,487,639,920,600,430,765,359,057,441,572,950,379,760,418,329,937,743,
296,943,469,204,395,379,843,489,003,610,257,338,356,749,748,086,503,902,183,
160,497,472,567,007,523,430,504,709,056,496,480,984,975,208,313,834,215,586,
072,527,629,153,461,952,376,760,525,737,766,395,198,573,648,858,045,650,332,
554,721,448,283,772,765,024,392,963,342,314,278,228,269,908,380,982,610,439,
136,999,730,330,738,323,753,651,370,347,395,080,106,443,524,419,638,302,254,
278,089,221,636,531,241,311,191,098,523,554,333,716,809,838,084,403,552,697,
965,359,873,715,703,106,540,881,830,031,315,116,869,031,321,434,215,205,204,
377,118,660,597,682,258,023,971,801,491,960,070,061,208,678,952,276,789,824,
086,126,278,092,684,115,681,983,464,187,116,131,091,133,765,284,006,396,104,
627,164,822,945,664,209,695,179,731,549,544,549,088,052,683,283,066,659,215,
178,931,677,967,542,393,475,753,581,294,733,674,082,313,383,626,011,512,524,
565,287,384,720,430,102,800,434,884,709,882,558,118,381,854,296,341,424,991,
443,864,127,734,979,921,550,735,106,791,832,384,882,410,526,591,982,050,985,
066,452,051,078,548,914,170,885,867,970,288,107,526,958,846,443,947,384,106,
383,874,397,900,567,128,435,026,022,672,909,264,980,600,898,869,877,470,549,
180,698,692,016,331,316,490,088,664,137,531,929,798,611,800,336,629,558,018,
300,998,188,773,837,729,633,403,742,105,851,901,418,378,951,978,971,993,366,
084,473,117,884,377,378,098,876,899,091,567,698,565,815,704,538,926,923,893,
579,666,128,129,301,218,078,210,635,574,150,486,198,721,946,567,659,625,623,
156,774,532,094,837,843,379,556,866,292,464,011,765,933,673,745,282,157,023,
038,579,678,188,793,429,206,594,558,306,982,059,483,212,299,184,012,312,217,
303,934,540,683,574,483,720,957,805,535,199,045,788,048,706,991,659,059,417,
895,482,558,648,330,598,197,311,527,220,761,378,416,430,941,008,204,668,483,
973,748,827,474,639,604,566,423,614,975,566,711,007,741,810,622,438,416,352,
181,579,980,079,383,673,438,479,357,114,320,956,082,795,809,335,904,023,454,
051,508,583,706,028,360,499,970,768,935,754,137,161,937,502,898,541,368,441,
585,271,818,069,679,298,278,028,370,063,636,929,753,705,709,747,138,652,185,
047,301,135,557,693,408,709,489,030,094,753,779,244,922,196,777,833,779,304,
275,225,161,854,943,726,132,118,801,344,375,026,608,756,581,157,072,058,764,
266,458,083,074,055,114,102,748,085,196,410,340,824,568,315,655,325,907,955,
242,102,766,608,264,995,326,301,393,724,209,140,165,713,897,838,933,280,790,
101,884,534,222,444,189,643,254,176,909,083,624,433,754,790,021,683,986,702,
309,975,847,241,313,381,531,625,098,838,419,696,235,482,346,337,220,778,966,
875,943,652,371,515,226,596,140,719,899,817,339,794,535,412,292,037,622,359,
364,757,183,648,831,460,595,903,250,870,180,438,161,310,652,490,341,721,909,
029,281,688,936,149,737,613,438,159,525,223,001,396,397,502,931,505,091,777,
110,487,050,274,420,251,191,302,051,714,409,463,029,073,030,249,809,079,444,
069,764,887,751,593,691,272,836,128,853,257,245,225,732,457,429,363,817,893,
140,726,684,241,043,010,806,527,362,297,932,500,962,865,745,308,797,478,448,
576,148,306,448,950,300,407,864,775,717,245,759,222,068,900,026,522,050,809,
629,356,553,853,217,089,756,722,325,077,739,858,829,456,503,570,570,197,175,
796,481,597,829,116,009,616,073,685,230,971,343,545,933,955,788,308,094,789,
138,984,092,835,357,196,133,845,547,217,830,531,824,418,904,582,147,045,654,
314,819,401,875,572,077,085,055,015,640,600,937,804,959,613,677,081,660,831,
362,407,924,124,960,995,502,488,502,643,275,471,160,715,845,239,580,057,979,
881,481,793,163,077,087,976,786,542,847,190,126,342,543,254,359,828,846,355,
399,053,010,052,784,218,256,294,601,251,110,229,862,701,658,915,691,252,489,
822,473,692,533,209,258,583,230,655,096,221,118,868,788,097,313,776,337,013,
335,591,833,090,033,870,220,321,931,268,067,486,920,154,157,810,990,045,732,
494,928,036,433,624,461,499,558,459,149,598,489,406,845,211,416,909,934,070,
127,249,724,329,002,859,791,868,563,061,715,985,391,293,049,846,303,617,012,
829,176,550,839,667,512,503,566,980,862,634,560,864,659,694,260,550,550,836,
798,922,003,107,328,870,236,428,696,068,804,236,586,685,667,442,526,859,424,
305,464,994,986,532,722,959,689,024,317,698,104,594,967,683,059,551,121,550,
365,548,950,254,129,928,560,405,858,754,188,470,171,735,430,965,996,418,775,
141,856,095,159,862,180,673,240,656,948,410,147,148,903,940,994,053,373,700,
935,694,213,544,747,424,853,344,166,673,773,662,477,389,573,971,902,697,396,
866,358,280,677,873,660,539,343,358,383,892,616,512,559,858,207,449,236,191,
300,228,899,894,142,511,564,626,737,160,685,543,287,818,385,402,727,612,575,
498,131,692,712,765,355,363,180,975,207,352,635,650,751,774,328,333,089,115,
446,886,839,734,283,394,802,224,360,022,319,126,597,899,897,845,502,830,062,
273,581,962,370,365,640,055,622,697,019,150,965,876,887,757,594,205,140,833,
957,681,931,011,423,228,767,658,326,494,500,453,560,753,116,774,723,970,394,
426,637,186,904,357,676,805,550,162,805,921,291,447,032,106,188,583,857,896,
676,857,325,481,686,819,012,679,166,523,093,105,802,977,213,943,743,021,576,
169,442,875,742,136,113,376,071,814,048,531,642,228,579,718,851,824,222,444,
944,443,411,232,833,215,907,093,747,979,426,899,535,190,456,468,472,337,681,
050,438,362,448,548,261,987,795,908,826,332,085,041,627,072,047,760,400,682,
720,743,586,511,715,910,633,320,804,244,572,985,713,066,711,890,361,167,567,
678,073,274,265,308,142,524,382,882,508,593,838,145,649,480,256,238,092,654,
279,738,252,077,076,506,933,674,891,826,129,528,871,917,853,890,298,403,846,
562,536,611,628,416,989,881,577,272,433,643,237,502,264,255,422,580,998,465,
581,552,239,806,319,570,398,249,954,960,274,959,510,379,614,406,327,183,862,
511,692,150,403,390,791,464,515,746,823,778,355,822,679,670,572,530,549,594,
323,366,129,368,647,046,101,621,222,884,952,457,577,049,347,226,351,155,982,
425,517,048,783,309,164,937,324,478,438,535,203,686,755,681,197,913,412,609,
627,084,775,493,448,722,503,013,902,375,914,490,306,779,370,851,762,588,260,
650,902,638,514,689,574,583,720,308,543,021,550,955,994,410,544,274,325,075,
465,178,871,643,074,605,455,142,673,639,174,455,123,042,779,888,939,186,527,
918,263,769,686,395,549,735,569,365,131,215,891,874,810,422,823,594,033,999,
969,996,389,029,677,291,385,987,710,386,449,727,069,421,062,235,360,568,174,
217,244,241,888,776,147,202,127,519,975,522,072,491,700,188,306,904,973,985,
166,777,004,402,540,523,316,467,795,214,699,671,307,885,009,519,272,479,785,
276,952,019,793,271,876,917,622,208,363,838,140,473,222,984,732,686,856,089,
341,966,967,731,697,648,075,657,634,353,268,419,115,645,430,330,764,075,140,
175,664,695,854,753,523,151,193,925,941,033,613,984,956,768,611,000,721,241,
925,755,099,653,555,970,315,850,282,571,409,504,014,979,258,699,681,205,325,
969,767,382,234,272,700,419,014,857,066,392,514,472,694,917,625,637,127,243,
806,258,863,064,878,122,870,977,127,444,767,409,872,916,587,187,020,998,106,
466,014,932,016,507,100,408,985,204,457,192,483,902,408,056,521,539,099,426,
014,139,445,611,119,297,556,379,395,317,202,680,908,212,863,356,697,051,060,
677,078,860,003,747,336,133,462,353,192,538,160,424,576,767,461,284,674,782,
532,835,190,631,180,466,457,475,200,359,411,750,310,801,756,462,970,669,093,
668,255,236,810,392,109,743,816,603,400,311,969,998,916,450,345,341,284,675,
622,370,692,797,074,591,631,188,523,310,115,705,266,805,599,561,401,269,439,
037,678,112,741,791,341,861,225,700,021,378,253,053,218,588,451,358,490,971,
195,980,372,855,958,387,314,593,378,984,559,662,007,177,616,068,601,441,769,
553,777,991,409,862,536,666,013,284,736,036,196,922,981,875,700,562,839,911,
270,617,255,635,665,832,489,395,314,028,449,676,513,890,343,369,781,522,981,
853,954,864,287,488,365,175,042,403,551,342,706,702,619,205,799,195,613,718,
974,620,657,123,042,032,805,090,635,637,386,192,595,304,273,055,917,353,380,
467,222,033,593,990,742,421,980,408,074,911,745,872,381,047,912,966,186,282,
429,394,919,503,827,130,411,799,427,116,463,511,122,704,903,961,104,287,658,
310,259,582,486,288,061,296,314,723,819,471,840,467,987,397,933,640,635,719,
603,617,546,724,790,896,367,730,887,799,664,610,150,250,517,749,143,407,659,
866,233,587,412,522,132,839,821,624,285,804,631,088,482,372,955,056,595,556,
103,835,127,823,134,465,261,276,874,585,832,905,413,733,377,074,169,179,720,
579,488,144,195,488,847,749,133,399,447,647,061,232,610,990,611,008,717,274,
310,015,430,471,600,593,649,677,490,745,307,192,473,410,014,501,793,842,763,
628,207,248,704,208,824,831,503,778,948,205,775,997,154,218,985,010,895,874,
938,682,350,726,178,832,726,274,795,667,676,256,950,121,230,495,161,049,414,
882,115,213,593,951,525,544,987,855,482,993,582,480,339,718,622,458,550,378,
343,261,496,488,075,247,087,072,405,007,607,684,874,046,999,525,204,256,809,
039,637,441,790,407,537,348,614,240,940,663,068,056,152,287,390,415,216,280,
588,277,207,537,949,248,451,403,189,001,417,956,064,656,825,324,621,062,969,
323,369,651,422,680,039,156,879,798,089,092,108,581,207,806,458,127,450,043,
999,392,876,537,767,437,873,091,318,385,723,081,888,461,433,545,443,756,199,
165,619,380,739,590,150,958,401,886,882,108,300,792,205,505,392,439,049,446,
999,033,900,643,412,906,828,787,995,050,030,178,815,657,371,917,727,645,241,
277,892,009,966,927,693,786,358,864,019,839,008,531,210,516,216,332,540,581,
356,105,546,868,986,179,070,935,236,558,597,449,204,976,265,585,840,604,940,
400,169,244,918,027,791,824,678,917,855,821,556,996,699,135,739,403,005,109,
044,964,494,560,771,281,716,104,128,519,994,785,571,236,025,950,928,704,345,
077,829,612,295,521,925,996,625,388,533,193,158,404,398,181,512,068,899,537,
781,599,381,259,190,665,575,291,845,356,822,260,161,096,021,552,218,034,138,
917,784,606,922,237,968,374,835,313,477,935,211,317,814,580,988,497,998,707,
321,213,309,711,846,779,548,179,942,594,884,320,557,399,553,977,148,428,744,
845,625,689,250,019,060,578,055,845,740,984,368,750,609,148,107,679,239,330,
849,956,908,823,966,683,564,076,400,264,466,972,597,796,227,309,928,935,383,
189,256,916,887,776,210,887,744,818,310,428,692,810,227,504,625,507,297,770,
608,707,108,219,365,221,383,493,771,224,885,897,050,644,271,555,832,635,466,
216,927,455,039,771,316,748,224,980,864,349,116,838,476,855,518,076,422,121,
883,571,153,091,125,146,775,105,429,298,136,823,072,809,530,086,231,103,847,
771,868,386,674,174,266,548,588,196,741,020,317,390,953,837,480,336,137,856,
969,402,948,190,389,685,441,374,822,524,742,127,988,948,013,148,237,319,783,
084,316,095,114,220,213,268,460,482,243,275,009,293,793,919,044,789,491,667,
336,609,435,224,152,984,385,222,158,371,636,656,878,861,188,499,575,968,721,
703,172,653,814,764,784,769,695,152,560,835,119,518,780,041,610,128,998,968,
359,116,935,374,993,825,215,313,198,011,457,429,352,805,655,216,063,174,433,
776,870,064,305,323,022,526,543,093,056,345,554,361,724,647,275,556,318,237,
776,351,936,219,440,738,136,118,570,424,250,301,609,274,259,555,828,778,119,
335,939,702,327,106,772,444,726,718,239,521,933,878,320,777,210,630,185,577,
325,310,324,746,912,748,113,283,562,894,359,319,965,653,452,718,939,414,330,
996,513,282,956,518,314,953,413,566,820,873,972,841,110,106,441,076,305,138,
032,923,977,534,545,905,609,423,947,246,914,713,334,143,452,215,962,143,027,
306,365,147,792,729,472,419,308,438,359,553,158,826,474,433,638,608,871,533,
771,505,251,648,729,935,345,904,205,256,003,701,637,448,924,282,835,678,889,
958,573,076,412,318,090,090,239,388,618,137,995,456,395,742,047,893,322,643,
823,541,628,903,887,590,253,118,320,727,739,844,295,985,160,252,617,709,082,
935,237,687,001,965,399,617,144,287,125,661,401,419,925,141,119,721,464,818,
985,146,232,665,383,006,832,318,196,701,280,032,441,950,417,890,665,093,896,
614,748,523,954,495,988,410,972,526,098,707,611,697,565,403,277,656,345,643,
452,344,668,575,062,867,782,219,624,096,396,457,109,006,774,049,927,585,938,
074,679,927,466,166,533,041,378,026,874,081,730,187,735,406,797,084,466,842,
976,188,644,487,535,392,819,585,141,717,628,683,861,375,765,154,437,661,321,
090,437,544,923,812,357,785,682,983,313,752,917,782,371,151,560,310,650,286,
395,637,207,325,983,365,003,497,802,864,877,764,669,184,230,101,853,969,292,
716,663,881,409,406,853,669,676,489,494,141,706,923,322,323,195,259,781,665,
858,344,832,630,247,801,380,535,067,155,833,375,053,592,223,282,892,001,501,
619,741,728,245,968,070,203,054,702,286,861,603,975,548,772,713,602,133,927,
733,852,818,113,775,818,953,851,712,619,229,749,489,064,588,388,676,764,668,
334,511,216,990,107,484,811,940,153,125,444,473,690,299,172,177,819,695,957,
927,435,351,607,414,184,961,948,178,252,386,150,748,423,314,549,656,156,882,
879,016,543,468,940,437,540,141,032,370,145,147,418,727,651,285,564,982,992,
683,387,181,840,599,729,217,144,400,246,946,610,993,178,029,727,977,025,105,
302,034,474,979,408,816,317,207,293,528,492,910,754,339,037,167,363,540,524,
078,220,348,046,620,364,959,703,124,977,485,332,327,975,776,944,675,584,666,
943,428,034,335,094,902,812,802,791,085,315,525,072,867,072,931,670,659,608,
491,281,776,939,309,263,220,796,183,555,379,591,158,086,891,182,504,164,918,
419,347,720,050,942,940,881,066,806,908,606,116,481,401,040,293,264,400,809,
633,334,287,481,735,112,457,903,565,489,753,927,805,601,923,602,151,508,443,
613,965,331,295,079,335,229,917,951,548,732,237,163,689,704,844,228,733,263,
249,688,695,725,432,353,829,123,287,729,569,921,952,918,202,536,625,934,814,
668,099,074,687,723,543,320,495,720,714,611,379,261,499,023,700,063,500,962,
352,073,538,785,419,554,112,498,437,731,543,711,910,204,515,007,925,310,429,
217,384,374,371,203,535,481,394,644,752,231,056,850,079,618,951,682,097,117,
954,473,028,508,918,354,777,917,553,276,709,871,139,678,635,426,134,114,401,
011,972,512,489,305,839,161,423,431,801,711,840,242,111,286,470,373,364,282,
688,956,890,895,473,256,790,393,817,806,643,366,140,478,860,951,561,593,249,
823,408,464,997,866,311,396,794,363,474,433,274,704,918,809,808,978,215,186,
992,288,237,015,346,265,279,290,658,716,391,613,405,508,010,953,196,565,837,
664,581,124,421,990,169,065,237,462,379,760,335,410,470,730,675,245,469,432,
915,029,946,822,302,445,312,965,103,661,471,818,037,164,417,882,598,953,666,
067,815,039,037,065,979,942,341,863,679,292,604,585,333,216,056,239,575,131,
077,473,081,379,507,843,595,612,432,553,163,342,229,262,747,739,284,954,300,
048,560,342,808,756,661,018,252,540,315,775,921,880,242,144,520,850,561,088,
871,929,370,124,025,787,867,745,353,478,804,110,907,956,463,207,589,448,324,
450,168,405,581,488,552,310,121,307,315,605,038,955,599,462,359,771,142,824,
377,469,154,227,621,514,244,098,849,118,909,151,919,592,045,784,996,174,816,
683,340,493,546,877,612,133,010,157,154,861,560,267,687,652,775,189,889,846,
770,155,070,082,947,842,238,047,532,127,508,476,486,820,341,110,356,932,225,
127,227,047,258,016,659,849,618,095,953,846,527,311,298,848,337,404,742,937,
752,578,185,579,837,873,900,202,804,903,921,627,814,835,913,944,241,403,354,
550,036,170,325,998,300,676,776,736,487,496,411,560,262,850,106,778,162,070,
151,981,001,582,427,975,503,382,665,349,141,297,140,851,155,011,304,376,385,
769,923,560,726,982,708,331,175,831,452,271,290,165,089,616,046,887,534,399,
824,034,458,482,204,249,136,473,423,656,366,900,933,867,103,815,667,453,417,
979,509,759,069,742,657,614,907,313,883,462,736,404,815,323,264,146,848,342,
691,425,286,940,231,841,013,992,230,011,516,177,086,458,972,977,619,189,617,
065,490,955,305,558,957,974,625,539,240,359,897,095,867,790,067,125,356,697,
476,453,433,622,776,686,042,447,120,181,299,755,552,371,859,529,608,277,703,
909,649,300,918,307,521,927,484,133,697,147,720,045,182,913,864,217,224,118,
948,945,062,313,713,197,993,791,995,482,263,135,978,826,901,002,680,596,341,
793,830,527,103,838,537,983,634,567,130,689,707,874,685,947,936,307,873,868,
200,290,956,983,242,934,538,219,863,631,806,327,422,833,955,694,431,168,027,
374,878,681,484,667,208,966,396,289,210,462,112,360,754,869,431,836,016,267,
922,416,524,874,334,188,827,952,862,773,595,848,655,968,893,994,773,838,640,
640,773,972,512,518,652,359,510,105,557,020,970,986,209,215,708,646,901,475,
773,592,834,628,383,517,065,001,121,146,787,767,410,268,131,265,471,195,652,
214,237,153,698,677,159,573,883,571,874,353,817,605,128,428,647,712,671,945,
181,510,374,603,340,925,453,780,155,271,795,597,149,231,816,121,794,822,163,
198,593,219,930,881,031,752,515,007,701,912,236,511,660,571,642,776,695,391,
173,456,328,133,661,502,616,451,822,620,936,411,348,917,002,328,859,035,195,
569,701,043,932,093,079,311,496,618,459,606,585,966,986,610,846,492,942,736,
578,131,526,414,242,927,380,086,795,114,591,039,416,762,275,491,512,313,284,
683,865,815,151,783,161,559,264,416,951,692,137,358,351,290,787,221,022,718,
229,101,887,557,277,951,276,282,763,642,166,335,006,279,721,211,532,388,001,
514,139,240,563,141,978,324,524,051,994,246,141,484,278,508,371,877,658,191,
322,858,778,689,583,905,033,412,553,403,177,629,154,151,473,651,544,097,239,
759,699,470,252,587,107,389,641,496,334,038,324,268,532,874,683,194,760,989,
398,677,866,163,967,574,039,448,706,225,499,426,606,680,701,891,281,247,980,
129,908,398,305,242,137,386,985,411,984,511,566,368,359,369,343,424,930,572,
742,805,887,173,398,693,730,673,382,921,599,650,025,460,965,380,102,304,397,
546,901,733,433,539,827,868,594,214,171,901,669,493,793,376,588,036,165,010,
856,454,746,415,388,626,292,297,002,688,725,310,337,437,025,699,718,137,031,
010,818,073,666,865,148,866,141,933,642,710,000,268,288,980,078,941,694,049,
466,709,254,708,011,371,768,827,590,272,818,003,420,319,184,156,133,433,537,
154,469,133,952,520,376,797,259,833,686,272,814,542,116,443,715,102,044,634,
104,682,880,302,929,250,804,858,816,017,919,302,143,402,697,833,186,400,345,
251,963,326,507,014,467,489,233,258,906,735,189,594,655,706,725,576,351,865,
181,850,800,169,111,357,584,779,369,774,356,093,448,808,797,117,888,035,328,
455,310,777,780,660,510,757,146,372,784,476,264,994,940,425,065,722,043,553,
305,521,889,078,413,586,295,532,166,981,931,547,652,505,738,545,346,752,685,
308,960,315,381,136,172,820,180,011,490,394,818,566,871,957,165,257,652,635,
545,045,191,110,810,298,468,523,625,461,989,766,078,135,698,279,730,711,008,
524,271,312,215,168,490,784,893,473,783,017,827,921,749,199,709,841,932,399,
534,212,183,965,965,201,395,307,940,808,914,232,653,445,994,815,400,713,311,
875,997,811,469,351,125,672,594,460,558,167,504,783,521,872,216,196,437,420,
112,801,164,007,921,260,546,517,304,563,884,506,695,640,500,950,959,389,055,
688,184,700,906,217,974,646,793,848,811,865,791,904,315,767,361,734,874,728,
442,728,186,406,937,351,072,229,961,431,829,093,179,278,041,671,223,359,156,
578,646,199,096,265,906,972,894,010,777,081,043,777,387,259,299,729,667,812,
306,162,205,908,001,838,063,748,071,509,336,875,713,016,046,621,203,242,344,
357,943,882,848,967,388,535,207,327,302,440,267,201,050,908,649,326,500,940,
987,892,170,439,197,861,016,748,807,176,727,041,125,954,206,230,013,033,776,
963,838,011,238,914,977,481,175,643,788,352,652,007,025,868,904,965,260,234,
145,677,118,491,928,777,549,731,322,945,058,382,818,777,684,706,747,554,704,
696,052,005,165,489,479,398,877,491,677,844,104,934,574,882,004,221,221,089,
293,748,380,943,468,504,956,594,783,862,071,643,910,796,850,767,850,096,628,
450,447,173,995,528,050,280,707,815,218,505,180,556,977,935,098,401,493,737,
229,489,605,777,342,459,876,811,105,624,127,982,624,029,362,369,348,983,495,
540,002,290,336,071,947,158,642,502,847,738,886,899,909,035,633,582,508,234,
820,722,641,777,776,218,191,953,035,604,314,997,948,823,590,076,708,101,856,
037,443,795,386,809,467,567,143,893,404,060,802,682,391,863,894,357,916,493,
081,835,185,508,303,501,363,133,291,316,511,988,298,994,693,304,131,255,331,
885,441,141,662,380,670,412,408,377,467,817,257,149,337,212,109,038,502,340,
348,313,961,241,575,891,070,289,321,155,796,831,938,277,183,747,620,197,458,
205,455,567,143,928,459,321,047,758,995,641,593,880,266,175,403,229,637,979,
369,687,962,131,975,116,568,746,276,364,319,662,785,713,815,748,762,484,354,
152,525,946,471,158,652,409,293,781,846,234,264,660,810,107,821,223,315,063,
423,927,188,402,023,380,668,903,345,695,820,093,138,755,265,334,582,127,222,
091,480,185,878,659,876,701,220,797,645,774,010,058,167,595,962,122,311,448,
602,692,895,488,471,623,272,657,417,892,671,480,290,852,309,850,736,742,074,
572,110,644,297,828,149,377,247,289,382,545,496,057,193,638,855,731,122,257,
682,295,327,398,658,593,971,889,640,768,037,092,960,514,974,151,384,343,404,
680,682,577,592,727,663,205,165,595,207,458,403,711,253,179,245,656,810,631,
933,497,061,096,097,425,230,410,840,624,101,622,770,903,494,285,477,332,878,
645,828,870,131,058,652,629,796,340,287,129,552,923,218,059,622,557,314,337,
628,445,842,935,772,249,359,740,653,976,035,915,153,595,687,711,157,761,573,
619,347,868,260,642,795,638,983,290,965,796,523,409,673,885,830,735,463,825,
336,265,490,012,697,377,282,613,944,545,688,604,732,381,189,805,853,888,442,
507,187,052,907,256,315,614,407,019,903,995,902,838,026,935,452,680,585,767,
819,838,252,355,915,934,249,486,485,691,536,689,640,993,637,891,691,169,559,
535,060,716,659,803,507,393,662,983,166,295,054,554,851,295,993,981,361,906,
079,419,733,336,264,342,351,229,109,262,384,125,706,557,269,318,199,000,534,
992,877,654,816,018,533,969,783,649,598,743,394,301,960,625,183,283,736,941,
529,512,866,684,745,726,571,325,510,658,326,291,962,458,491,412,809,077,950,
134,728,075,829,003,082,218,836,081,140,806,785,226,604,114,657,085,167,250,
871,804,341,803,975,496,037,426,696,403,145,246,886,279,700,557,806,918,281,
865,190,158,569,159,854,589,973,393,505,398,376,977,626,197,834,167,566,198,
515,739,556,077,098,647,594,022,785,588,059,926,558,889,581,190,514,160,839,
703,242,381,785,471,482,425,625,220,469,181,910,068,084,021,559,835,645,746,
616,308,849,964,267,569,972,514,198,352,976,350,414,136,745,413,042,306,504,
739,616,025,842,768,162,809,138,867,738,859,735,456,157,476,861,128,972,401,
864,909,706,337,479,453,663,441,848,918,991,794,590,860,401,868,608,722,508,
145,254,500,522,197,557,577,078,299,953,955,650,726,035,795,439,728,700,966,
768,465,799,388,287,848,488,412,004,801,740,510,152,650,070,288,133,454,854,
118,877,634,993,735,359,089,613,112,069,251,491,920,709,425,823,281,035,400,
158,204,351,594,053,288,824,562,757,256,237,854,204,325,051,868,932,838,611,
105,682,248,773,566,015,601,249,077,810,750,511,857,294,675,194,313,705,317,
458,406,953,165,252,659,206,224,149,654,754,777,499,363,443,037,660,085,780,
156,977,619,065,666,502,510,276,936,626,188,164,864,420,596,976,636,366,822,
313,859,563,762,932,030,162,140,541,201,990,292,791,389,963,656,937,108,968,
592,895,935,865,502,697,775,354,118,485,665,917,169,799,403,933,682,971,307,
311,870,249,701,761,286,948,209,938,919,293,716,988,089,923,510,725,541,256,
253,793,414,860,395,089,615,941,595,175,548,282,254,553,545,851,768,776,396,
253,848,811,450,424,388,934,252,012,270,761,308,981,009,842,587,240,839,953,
301,595,877,488,032,342,891,607,800,867,624,778,454,272,698,005,595,454,306,
387,452,520,842,112,896,183,733,379,398,055,663,796,038,417,176,894,720,428,
908,175,851,146,108,317,538,948,653,452,770,901,508,868,483,444,717,781,671,
967,140,719,362,985,317,897,353,546,511,108,977,513,087,040,266,150,771,872,
132,385,305,052,303,440,435,080,084,563,960,038,625,735,444,299,072,451,696,
151,719,718,260,611,962,148,148,079,763,601,067,652,991,466,395,170,096,885,
713,612,414,329,573,696,180,336,217,779,342,794,141,874,059,348,066,862,438,
606,783,670,430,954,648,126,891,531,007,910,404,136,500,507,919,816,943,353,
668,525,847,603,932,184,566,262,238,896,315,763,308,787,399,885,400,565,549,
303,355,381,384,608,044,594,308,559,690,772,820,004,307,779,946,155,169,675,
120,543,928,778,107,831,855,906,295,276,378,406,930,865,142,314,086,808,175,
741,736,889,781,835,590,806,657,604,675,535,827,479,688,497,106,994,203,518,
426,540,574,938,638,666,903,511,149,169,833,066,242,766,825,252,346,287,312,
667,061,491,281,164,641,831,724,070,969,019,535,911,879,168,150,126,110,223,
422,655,677,936,840,760,886,316,702,302,721,152,401,633,177,711,007,326,772,
739,874,419,520,901,388,363,874,492,339,212,402,022,193,772,091,975,837,646,
808,714,291,023,201,644,192,011,895,439,084,730,712,325,108,862,805,360,876,
714,564,339,251,439,540,906,409,835,043,379,686,973,500,383,551,761,500,493,
119,433,045,410,266,578,959,992,274,624,041,219,264,172,912,626,616,393,502,
795,758,260,747,852,565,583,884,715,036,172,814,188,914,120,533,760,950,135,
629,995,409,548,401,384,035,058,918,374,101,625,327,090,885,010,477,075,577,
462,149,313,614,153,292,926,346,240,341,153,628,101,640,323,210,514,170,852,
572,062,327,504,840,554,421,668,080,431,008,330,366,474,462,887,136,277,319,
682,765,368,738,640,830,606,733,689,415,988,814,360,314,113,546,450,697,023,
708,441,290,636,552,153,805,796,146,052,776,501,407,747,365,217,307,521,336,
582,130,683,787,286,368,839,648,532,219,239,340,808,822,082,514,171,709,626,
051,488,947,809,818,242,893,705,825,001,550,318,905,966,875,195,064,512,948,
622,740,729,496,505,838,198,104,490,572,783,307,717,913,678,862,940,947,630,
428,815,786,209,646,811,424,327,610,474,822,403,407,457,207,763,329,918,388,
676,205,872,721,311,427,335,602,107,427,108,613,159,180,571,491,293,826,269,
306,960,895,114,716,865,622,685,680,258,984,389,683,808,360,999,916,916,226,
403,939,801,545,018,940,599,297,555,320,236,204,028,374,615,629,360,599,456,
231,948,979,231,183,416,608,796,592,970,206,278,823,005,845,018,865,493,129,
521,747,774,507,756,853,161,546,604,524,108,986,980,490,955,739,217,152,135,
142,550,636,216,020,401,975,046,333,618,386,593,695,334,600,319,414,074,052,
373,536,533,896,799,364,582,964,071,697,952,459,034,715,772,056,066,899,398,
447,246,149,571,881,233,535,996,835,030,622,031,314,226,975,587,789,001,290,
419,986,504,377,337,382,871,998,416,953,024,027,555,974,980,064,744,807,586,
833,386,301,902,785,810,042,823,549,125,763,425,675,258,823,885,798,463,392,
666,930,827,546,603,267,545,856,401,481,619,377,084,835,552,896,085,608,400,
321,576,481,921,877,886,812,521,587,602,921,369,674,847,578,052,508,986,893,
610,005,258,980,682,187,869,619,715,294,857,847,965,756,756,694,515,431,042,
519,911,696,868,756,274,095,796,294,171,223,242,673,039,884,964,646,103,935,
586,755,412,810,069,318,150,580,073,624,554,758,495,523,042,191,275,581,496,
575,203,645,853,068,036,217,870,687,927,476,121,166,291,689,026,415,451,639,
829,751,548,967,686,505,125,803,795,651,266,577,105,755,367,967,931,002,196,
714,231,457,909,030,847,425,025,634,725,484,549,320,353,943,397,744,304,860,
642,028,586,191,920,248,316,724,490,651,146,254,140,302,805,956,707,443,324,
682,827,643,844,770,511,966,891,459,607,486,546,239,330,397,389,989,699,465,
716,753,410,202,876,803,677,358,508,508,625,935,140,122,894,648,427,589,514,
274,114,926,278,082,647,296,994,913,761,461,903,342,656,818,415,176,996,703,
864,215,375,412,816,662,176,645,125,021,234,430,399,267,127,208,023,271,670,
481,595,489,020,887,739,517,086,858,544,565,612,183,665,953,407,792,231,040,
981,957,999,526,323,281,598,319,616,733,058,868,081,020,970,318,840,532,858,
982,178,290,444,219,656,315,461,544,438,406,050,300,626,908,116,882,577,531,
536,147,178,377,113,626,443,297,598,471,706,441,844,539,954,450,901,183,327,
266,158,918,449,506,225,251,383,386,615,438,866,061,746,887,999,762,490,002,
874,833,689,705,173,686,783,394,777,855,524,276,974,516,659,155,237,566,708,
231,427,575,760,172,787,292,838,623,459,481,194,456,217,911,640,020,002,984,
908,345,566,248,655,665,739,035,220,218,502,223,446,151,879,677,013,585,520,
395,360,156,901,675,272,619,587,797,197,355,769,476,091,168,750,925,906,430,
023,188,127,020,269,735,693,601,200,344,507,049,891,734,320,511,098,976,570,
954,643,877,449,964,170,596,785,142,559,327,330,426,246,721,395,451,899,770,
123,455,867,305,522,618,623,077,981,889,159,348,503,770,289,629,269,969,870,
190,412,311,504,007,589,502,743,712,676,467,921,855,419,267,876,908,263,928,
953,494,462,055,227,849,498,663,653,288,322,673,978,544,676,489,105,342,348,
406,516,295,027,496,868,525,122,852,719,804,800,434,867,834,077,217,582,253,
726,019,909,187,437,916,150,428,744,321,070,410,606,684,557,253,634,224,405,
305,782,786,383,037,343,501,351,020,774,014,768,336,117,230,111,660,417,647,
697,296,274,654,210,594,804,997,924,314,945,458,822,754,973,200,317,849,989,
294,561,351,939,122,349,777,203,677,575,909,589,353,058,344,435,915,305,892,
450,135,206,468,087,086,679,274,445,995,037,249,612,588,161,627,597,756,658,
767,395,307,121,305,621,403,575,894,478,639,486,849,590,139,554,275,043,773,
151,506,964,118,810,505,521,197,987,116,039,608,561,142,393,441,163,650,815,
277,753,764,368,788,993,955,382,018,755,542,855,159,611,715,866,211,105,756,
374,500,884,399,479,798,312,634,503,697,543,434,713,919,501,422,130,675,493,
619,752,345,762,246,230,585,191,186,298,182,776,829,113,612,266,208,568,021,
096,719,241,287,587,319,269,124,440,549,102,411,043,563,555,231,314,883,024,
432,890,981,650,085,494,204,774,079,310,026,422,866,901,836,013,202,155,975,
795,404,592,928,976,954,330,894,747,308,269,667,364,252,484,619,796,971,980,
562,382,308,853,412,377,517,370,378,963,090,756,420,842,382,560,550,410,430,
847,244,273,038,226,547,011,305,400,580,899,701,997,184,295,478,403,058,448,
493,072,567,374,002,123,237,717,104,279,691,974,693,098,726,467,711,504,899,
069,044,468,571,194,117,733,481,193,824,997,439,821,659,103,729,495,655,625,
179,328,438,867,275,107,826,713,876,307,058,920,458,067,181,099,268,382,347,
213,923,798,656,335,470,835,061,239,648,905,218,104,871,362,541,504,848,948,
349,982,741,434,395,954,070,375,113,372,543,064,167,949,164,375,607,546,751,
627,935,824,349,635,432,248,975,072,347,974,124,609,482,887,992,810,640,756,
955,677,281,682,120,868,729,352,441,755,053,208,512,914,776,167,850,620,838,
226,359,240,586,470,531,268,136,564,624,660,301,386,637,811,341,700,397,554,
194,529,027,674,646,826,017,443,207,072,430,626,315,101,209,875,152,526,254,
371,290,218,260,445,992,374,002,888,186,905,421,509,448,970,542,428,651,527,
626,971,226,885,415,339,553,662,950,537,302,449,330,049,398,642,075,822,281,
539,620,360,171,727,427,411,458,864,539,280,459,137,816,324,281,207,535,252,
046,504,055,132,920,708,261,784,051,047,512,712,946,040,619,177,553,177,282,
422,018,541,954,434,750,455,525,134,590,972,412,484,018,287,338,009,796,533,
251,473,701,086,389,985,171,207,491,501,080,950,571,619,324,292,758,076,369,
329,303,198,836,188,693,529,505,779,062,387,391,714,944,627,609,888,737,249,
388,762,664,750,319,021,835,702,458,321,481,016,183,693,818,447,446,938,964,
181,387,745,756,587,591,464,592,788,172,815,239,165,060,173,481,821,358,503,
525,379,833,946,056,103,204,538,287,683,725,901,498,607,209,248,331,578,882,
525,909,322,456,389,100,127,422,739,109,102,145,587,677,282,559,716,883,259,
777,222,693,751,960,067,233,607,573,411,481,316,597,408,870,705,169,776,660,
097,768,493,824,016,096,493,760,345,722,531,184,200,587,645,412,024,011,008,
328,476,943,637,374,868,365,372,445,720,503,524,244,433,824,223,138,084,928,
525,363,014,726,422,751,189,275,211,315,006,652,763,847,606,238,537,311,999,
653,606,146,009,450,796,171,613,692,000,735,163,462,023,780,632,826,579,645,
480,612,148,301,252,150,486,293,967,246,933,452,663,697,279,527,011,859,054,
348,517,583,870,869,363,477,536,639,339,525,020,448,139,363,539,972,123,582,
294,733,225,689,963,344,540,789,144,042,327,696,420,977,470,687,178,682,795,
865,294,204,243,849,154,509,741,166,757,554,156,887,410,512,785,562,483,628,
003,803,727,014,534,920,407,923,436,561,214,016,221,046,685,039,674,584,159,
166,837,633,567,175,307,378,112,610,505,767,113,310,793,051,016,979,727,473,
716,644,722,655,583,681,709,990,401,289,914,064,648,851,622,500,800,402,388,
047,989,623,946,960,092,266,994,161,344,870,930,380,220,777,332,626,203,492,
128,341,021,432,375,109,729,514,864,503,705,162,196,958,413,076,606,045,257,
639,545,909,899,261,030,197,882,943,233,098,150,952,950,786,333,910,468,091,
799,932,938,182,429,226,347,044,507,333,448,231,899,118,364,604,919,150,942,
717,251,992,633,178,058,382,574,148,313,950,259,601,085,497,618,045,212,736,
788,702,324,806,980,068,409,563,625,079,231,811,004,680,393,566,261,611,429,
428,133,611,467,059,387,993,792,055,027,832,078,862,879,229,960,897,629,779,
055,179,928,729,500,702,370,213,299,759,596,470,746,112,390,548,788,527,199,
077,434,313,323,324,285,203,039,499,715,766,604,037,487,652,078,009,289,524,
609,073,125,281,757,034,734,486,174,518,351,300,954,517,311,268,590,669,307,
825,203,217,541,104,324,363,448,458,436,261,002,179,913,290,969,548,813,373,
581,295,508,169,338,386,577,586,213,701,783,575,008,524,329,221,089,495,374,
865,531,835,081,304,086,299,647,530,221,171,620,044,827,073,476,445,636,533,
244,170,855,551,156,811,359,275,265,823,941,696,964,302,267,083,575,785,090,
543,369,803,902,908,609,090,324,727,188,915,832,290,908,532,415,896,967,430,
528,907,013,116,962,087,742,960,988,211,891,221,041,061,797,899,970,612,394,
789,752,757,384,590,767,062,745,775,138,593,585,730,220,159,314,371,269,428,
013,623,756,648,225,330,522,733,509,438,067,282,818,279,290,564,142,077,661,
185,793,979,630,435,258,170,689,994,143,273,930,617,068,190,120,246,969,901,
249,967,400,993,950,958,110,680,625,252,477,104,735,212,928,626,186,314,704,
526,435,132,617,911,655,032,400,655,192,524,350,287,645,329,166,706,037,596,
175,582,511,316,286,920,246,001,838,868,540,285,050,639,176,329,285,968,834,
188,776,285,490,980,622,638,897,305,649,173,342,482,227,178,137,782,000,059,
286,016,963,823,143,856,283,856,685,017,918,890,812,033,183,997,259,619,742,
035,536,346,192,975,273,684,459,117,178,235,155,068,698,096,983,624,613,953,
860,723,884,891,539,179,428,567,777,077,066,885,280,036,345,417,627,344,631,
047,831,329,836,313,775,843,481,640,968,922,746,831,184,046,953,232,320,850,
862,778,817,716,451,738,839,827,290,071,828,869,878,708,741,250,344,311,995,
886,279,088,600,971,774,124,863,093,489,917,269,271,741,916,550,890,720,624,
028,734,043,493,899,621,949,189,226,393,582,640,251,340,296,850,925,730,185,
828,766,995,686,326,532,892,669,325,208,623,512,435,183,895,787,389,638,451,
504,224,706,094,601,181,763,112,232,884,687,907,757,724,381,927,889,247,231,
376,923,675,679,478,816,044,264,054,724,452,570,337,506,623,005,616,741,306,
955,047,073,575,512,168,867,744,660,528,754,296,791,042,047,733,180,620,702,
396,389,215,591,832,342,704,276,107,185,893,874,897,485,217,118,138,602,248,
490,141,957,692,670,467,447,387,413,492,878,636,074,383,661,412,271,929,589,
600,801,370,311,137,221,928,030,250,281,344,137,248,943,167,544,190,546,221,
361,511,051,980,002,493,722,532,304,721,420,165,286,034,136,906,433,413,907,
307,705,934,639,638,737,775,180,409,216,516,742,878,570,495,570,138,773,699,
795,949,854,539,770,600,047,063,097,388,725,764,132,895,774,681,163,532,235,
755,563,032,321,829,935,981,078,653,426,234,940,893,755,970,547,607,558,165,
124,663,706,406,900,098,173,604,656,508,291,759,201,239,649,529,141,054,924,
655,100,925,463,870,747,862,710,809,994,953,145,162,441,666,184,565,442,836,
587,338,003,567,959,522,924,259,058,144,524,277,728,690,812,793,640,514,127,
922,013,728,956,591,390,577,535,259,485,615,616,716,886,082,839,453,370,560,
511,760,233,467,176,494,340,008,893,199,010,419,640,922,562,687,138,896,273,
853,788,162,549,190,763,798,572,764,487,322,874,964,197,418,653,107,958,834,
012,783,842,893,728,637,324,429,428,841,148,724,912,673,683,011,000,656,850,
827,782,413,557,356,198,426,706,306,650,863,360,263,648,323,179,881,601,230,
010,286,873,762,106,531,772,011,821,267,620,702,229,707,738,623,651,639,950,
459,026,255,800,137,367,329,417,359,375,695,823,764,559,449,544,108,590,924,
303,733,739,337,294,869,773,999,073,581,320,031,309,429,085,772,672,662,856,
212,786,915,528,571,528,871,780,446,956,409,854,850,356,019,734,005,246,564,
846,243,817,330,915,080,464,139,758,387,714,027,415,913,488,208,261,733,151,
215,421,555,634,730,417,786,278,700,127,933,887,734,307,189,107,734,415,113,
600,025,144,968,022,372,188,991,898,637,510,970,259,812,217,448,898,110,362,
502,599,055,708,398,398,898,767,345,393,346,514,174,243,315,010,666,914,082,
440,167,214,889,951,489,214,420,216,634,703,014,681,085,637,431,980,562,081,
780,079,510,891,703,953,767,583,807,158,867,521,045,433,452,616,903,349,246,
076,115,460,202,193,386,473,717,930,005,558,345,604,467,481,664,248,581,535,
099,050,377,624,368,296,310,864,301,048,745,093,000,998,217,290,395,585,485,
172,645,543,717,115,960,930,039,428,015,976,758,038,416,606,102,901,927,772,
323,028,922,722,781,158,588,696,280,415,217,622,482,749,478,480,930,991,157,
604,469,561,601,681,233,384,031,094,250,626,751,537,150,659,400,108,556,060,
719,807,286,892,409,275,680,487,010,936,345,807,277,052,920,562,326,905,943,
426,727,412,568,161,364,126,374,882,394,735,140,973,464,834,855,442,666,906,
412,842,425,655,575,403,703,022,940,695,022,119,717,314,818,049,149,443,779,
241,025,669,732,882,715,798,462,102,097,292,991,421,496,288,698,443,382,894,
920,558,607,799,938,371,660,273,263,620,814,508,958,181,634,673,501,666,893,
958,707,072,497,302,297,925,147,187,324,597,821,571,757,297,546,440,619,153,
072,109,168,241,697,262,779,413,584,447,546,125,981,704,041,547,845,200,776,
736,245,469,791,843,123,714,468,802,435,974,255,118,266,495,674,530,144,485,
328,152,070,589,257,895,500,970,669,972,555,737,954,924,768,540,009,791,453,
618,223,834,988,377,233,098,527,004,779,963,492,846,644,590,227,895,246,227,
987,496,248,367,935,210,843,782,486,168,676,266,687,716,260,751,908,287,900,
375,145,139,312,238,256,540,472,308,870,943,965,230,523,163,059,480,310,694,
574,537,776,193,801,268,910,733,225,228,707,093,632,529,515,215,258,146,540,
439,981,671,056,435,721,400,615,459,960,483,103,067,038,948,234,683,816,975,
495,032,921,029,071,850,378,357,050,246,065,891,231,978,414,662,264,433,076,
493,872,706,466,770,175,962,210,389,517,926,306,868,023,856,800,345,604,574,
011,817,122,901,032,001,146,743,554,233,309,730,652,545,642,738,857,208,348,
477,973,992,422,697,552,395,794,929,814,046,487,335,733,490,253,581,580,009,
451,128,374,606,636,694,193,252,372,716,174,366,724,083,029,411,235,601,751,
111,375,931,449,415,917,712,977,109,198,313,116,506,036,813,412,969,436,152,
997,784,794,305,450,082,666,319,743,895,787,583,057,849,772,872,792,488,946,
007,369,692,632,849,835,877,134,412,835,721,697,903,291,439,470,749,266,662,
044,926,568,234,959,635,245,298,018,168,885,417,627,274,236,582,436,662,832,
769,311,257,736,108,403,177,661,760,912,411,194,671,798,110,156,088,615,539,
208,035,327,927,539,616,143,170,226,412,591,286,642,276,968,772,212,297,651,
989,991,830,500,422,630,968,786,522,693,884,141,643,244,246,960,618,574,491,
997,096,922,144,253,714,793,051,897,944,047,505,888,590,710,319,176,814,854,
492,658,007,490,885,119,862,117,578,622,582,667,142,880,991,065,921,792,362,
710,828,476,825,255,573,096,431,059,057,452,094,874,417,423,344,276,474,536,
198,438,502,902,634,887,097,671,311,191,105,547,602,515,803,459,558,191,769,
274,737,725,974,184,298,814,874,572,626,564,300,550,246,044,716,191,043,359,
608,260,655,220,280,215,844,514,167,787,536,523,730,062,268,685,832,197,169,
758,188,448,060,426,356,279,247,860,531,002,366,646,964,783,522,419,369,463,
978,621,696,722,315,528,275,017,800,334,263,875,595,766,483,632,987,045,552,
309,742,554,153,116,775,615,197,203,871,480,101,392,931,287,430,946,215,418,
103,607,984,786,635,547,700,740,233,472,721,458,290,960,440,847,800,389,410,
138,575,461,293,473,416,050,164,292,247,049,642,111,537,671,796,224,385,708,
868,366,460,927,233,064,665,038,183,439,378,198,851,157,196,075,038,181,548,
585,422,274,653,962,124,832,053,561,242,107,834,442,774,712,663,748,265,278,
795,311,277,736,428,794,641,604,983,986,927,392,013,525,184,621,139,561,231,
064,737,652,917,256,911,268,479,084,695,798,770,156,595,458,277,758,130,033,
915,090,438,492,562,571,485,101,541,246,597,069,743,162,198,327,743,859,999,
880,833,998,371,543,708,429,418,736,499,498,301,438,111,714,596,895,970,426,
063,456,358,800,879,350,079,170,312,481,587,134,457,575,025,845,729,802,332,
698,415,938,749,849,979,607,383,551,792,241,365,187,556,659,172,139,302,464,
975,550,488,398,275,919,998,492,168,474,234,828,034,325,359,713,175,073,999,
740,451,472,113,160,668,885,126,034,619,026,844,357,190,397,049,009,780,054,
382,545,878,019,693,741,939,906,833,964,843,495,006,595,378,355,128,870,502,
865,366,760,900,913,851,522,391,065,561,565,919,053,791,373,107,356,497,945,
176,725,655,558,398,018,083,184,940,072,737,674,483,580,913,668,794,554,342,
979,911,452,979,803,998,848,692,824,842,104,107,334,384,517,087,331,142,443,
427,454,429,421,157,073,677,332,810,465,356,682,940,524,000,894,480,206,679,
763,176,181,146,426,074,936,794,465,012,919,995,496,922,041,871,237,817,157,
878,249,463,812,165,612,678,924,995,728,700,358,349,826,319,187,813,303,616,
014,399,395,572,003,809,803,193,550,070,407,365,882,701,917,376,283,362,292,
189,727,546,167,936,063,494,816,384,735,972,278,170,489,013,030,164,078,926,
051,140,209,012,410,322,420,175,285,434,178,022,399,551,742,239,404,032,400,
985,883,659,596,955,588,705,602,088,601,702,926,319,209,100,908,963,514,842,
533,497,997,979,448,760,383,302,737,824,580,305,720,258,433,634,907,251,861,
254,917,882,623,507,085,276,818,634,344,064,561,673,967,481,560,498,696,396,
413,576,153,935,041,130,262,054,832,349,358,275,295,247,455,157,245,049,584,
504,030,242,927,482,213,705,893,798,476,630,957,041,434,211,439,217,824,721,
103,915,376,506,215,380,078,726,905,687,784,293,120,454,591,591,499,779,646,
993,119,237,145,160,968,935,475,681,014,810,402,117,914,501,209,849,533,525,
315,683,201,312,463,035,157,541,201,714,771,912,115,261,622,157,990,820,281,
281,718,384,641,617,498,438,507,546,421,792,690,760,460,128,724,479,153,221,
818,566,618,933,789,730,955,258,884,117,543,070,336,537,663,532,741,981,360,
807,039,489,711,546,398,777,492,116,883,990,044,157,964,868,779,198,081,780,
893,881,788,166,523,832,326,155,703,671,394,869,871,953,814,029,722,920,069,
209,277,834,039,853,207,089,591,614,000,985,301,491,411,360,039,306,159,240,
743,587,012,087,289,496,204,756,594,813,479,695,912,957,236,594,024,845,279,
005,895,192,823,197,339,488,454,805,512,002,995,162,319,677,626,672,315,744,
733,696,327,082,296,926,577,976,606,736,907,629,033,177,990,614,745,632,493,
519,182,234,113,200,945,161,357,237,755,947,965,794,944,371,841,036,213,035,
262,108,838,744,678,757,103,456,925,475,989,977,219,130,377,746,225,763,219,
783,675,390,611,411,070,085,250,524,901,746,786,932,881,765,452,127,733,045,
452,966,994,678,709,098,531,243,902,380,688,265,461,109,878,102,289,052,504,
674,705,237,858,462,892,997,509,442,377,704,671,365,406,704,519,956,369,916,
765,343,251,622,667,079,238,638,731,934,871,899,875,014,973,126,791,174,527,
941,345,576,752,790,828,989,522,878,307,559,161,937,759,075,779,986,111,713,
243,084,153,237,240,279,985,473,543,003,067,837,150,692,547,414,694,432,166,
441,106,893,405,971,738,042,125,522,127,188,205,293,953,488,090,225,132,562,
232,721,571,791,255,162,615,748,507,180,237,926,224,517,672,716,968,094,744,
610,967,381,707,906,922,616,078,948,229,211,902,249,467,730,259,589,419,641,
259,558,280,814,594,390,815,710,479,469,791,655,155,312,875,681,615,434,215,
595,064,410,407,926,504,270,072,442,383,085,001,555,131,635,746,041,594,081,
331,577,288,538,963,628,851,461,103,384,471,019,062,732,853,145,836,821,169,
153,024,911,385,756,316,377,692,398,142,025,930,862,649,594,650,705,348,799,
763,825,034,828,218,992,988,327,307,039,366,190,800,961,337,645,602,314,646,
630,474,940,981,213,753,319,881,905,165,316,502,216,808,804,519,818,583,299,
364,948,691,288,855,752,166,731,929,273,856,643,563,389,265,148,945,223,476,
228,008,350,973,169,654,157,173,341,315,908,767,627,034,739,409,856,206,304,
231,711,384,044,690,604,224,013,293,869,643,828,240,080,217,293,419,070,559,
639,017,525,869,695,270,677,859,894,554,325,046,697,065,977,678,134,295,259,
668,922,655,038,551,851,720,873,345,091,837,271,398,866,224,541,415,089,568,
166,166,720,099,749,609,884,674,782,721,621,432,923,768,750,863,006,046,260,
985,977,541,708,710,418,730,384,019,716,472,759,624,440,346,325,387,366,744,
312,071,709,032,669,371,285,445,020,465,963,624,503,057,234,902,063,938,664,
757,604,148,028,542,461,395,215,691,967,290,150,700,025,462,618,628,790,997,
327,874,864,887,083,333,800,180,980,024,697,358,800,210,401,119,089,165,195,
467,405,471,754,204,174,605,712,801,036,771,273,237,349,642,026,385,795,952,
377,486,852,551,016,467,590,903,944,572,524,460,791,571,358,506,715,423,802,
236,761,626,138,578,454,777,890,988,400,620,567,991,872,547,897,750,745,920,
376,858,594,044,002,383,362,918,351,808,677,762,890,431,911,123,763,170,022,
989,362,330,082,749,693,984,723,672,536,691,676,611,655,200,936,125,819,902,
225,811,014,313,796,567,866,839,353,125,667,907,876,565,903,754,027,420,732,
535,259,513,728,002,036,412,777,287,835,608,278,563,525,987,652,381,877,724,
636,622,068,914,861,613,964,625,098,315,257,659,357,785,131,297,533,500,859,
623,490,536,448,467,607,429,932,617,409,851,029,162,296,347,385,448,632,613,
064,220,408,531,584,587,339,931,880,444,733,725,581,249,973,966,585,337,253,
678,632,838,227,565,054,475,908,787,656,427,434,958,104,630,392,565,110,679,
773,855,154,794,244,676,558,234,389,068,831,717,956,670,363,135,489,789,083,
362,875,391,380,063,980,113,664,320,607,561,331,985,145,136,062,815,149,609,
611,902,270,505,679,492,273,878,518,716,071,725,827,744,333,819,114,336,456,
831,285,154,506,005,891,980,805,320,678,876,413,410,294,745,155,251,336,443,
118,963,289,182,781,360,597,044,185,615,966,042,624,643,635,256,680,549,544,
352,425,482,936,280,355,794,082,268,498,261,942,224,517,442,079,148,421,066,
126,499,995,698,815,643,376,799,536,256,103,772,326,669,718,094,736,831,296,
162,980,518,436,050,957,517,559,281,575,236,710,472,253,772,309,794,760,538,
878,304,131,862,166,876,911,930,345,349,973,485,394,804,150,872,170,576,073,
559,472,509,512,253,231,901,016,876,468,606,665,010,949,912,396,039,496,470,
145,206,775,757,149,544,692,875,742,394,913,537,723,488,214,283,136,020,984,
633,253,208,689,538,508,956,649,441,903,253,944,533,519,372,164,066,566,291,
930,667,680,556,850,408,070,848,689,670,319,084,973,527,935,347,777,601,727,
989,110,265,575,871,208,633,668,762,591,739,010,033,773,393,029,243,221,600,
553,643,466,758,959,712,269,953,537,019,165,260,535,179,328,607,065,994,848,
603,930,752,895,759,989,176,609,483,363,697,603,485,853,883,261,507,746,642,
011,774,989,946,392,526,602,530,265,311,248,563,978,534,423,898,906,909,703,
260,011,797,685,739,116,054,984,387,935,243,534,368,451,075,818,013,298,761,
957,299,101,702,576,552,872,392,405,988,755,423,102,619,339,478,628,003,476,
716,561,198,521,701,763,707,593,466,594,812,881,802,703,002,756,406,131,032,
881,709,644,333,527,535,920,216,001,612,407,580,545,318,656,742,807,961,218,
674,441,975,207,293,265,318,650,359,827,197,918,586,035,895,276,051,463,442,
394,452,092,622,678,882,279,930,709,664,845,975,344,379,184,244,484,302,471,
838,761,892,149,953,395,897,443,397,286,678,909,578,142,101,314,223,701,703,
528,472,903,088,387,691,619,158,526,023,886,266,783,415,432,281,950,340,514,
006,780,835,572,654,452,487,867,569,975,574,980,192,144,264,975,163,608,758,
473,913,652,153,371,977,775,391,758,287,767,725,191,744,068,966,640,295,554,
631,745,258,078,107,082,566,182,592,683,798,892,150,517,976,914,714,522,442,
386,053,790,804,441,856,665,250,309,468,583,387,137,779,457,857,731,230,203,
194,255,988,130,527,842,752,308,237,674,480,331,617,856,577,520,979,467,619,
722,407,388,282,960,704,708,419,312,730,559,310,448,117,586,656,938,843,161,
132,485,034,126,321,413,707,067,399,809,475,679,535,552,506,235,240,222,167,
057,614,420,157,763,337,613,187,348,741,861,049,761,822,796,483,471,040,381,
593,226,303,775,868,088,332,672,993,853,005,337,466,610,599,487,576,626,204,
635,650,065,345,885,266,654,192,297,702,978,782,572,402,814,137,533,826,241,
393,091,242,687,199,377,937,673,524,443,922,292,993,187,561,063,700,725,487,
013,505,072,203,320,466,689,438,539,529,938,553,715,826,961,824,678,518,344,
388,734,610,651,555,596,627,285,851,282,963,827,351,944,067,585,936,222,642,
202,644,908,574,279,504,169,616,502,532,925,240,116,977,830,341,537,392,752,
191,186,155,390,600,035,557,302,692,037,705,946,186,561,691,204,152,951,983,
626,039,175,232,430,105,013,990,854,743,911,415,257,397,225,484,646,397,813,
972,114,097,549,579,366,746,448,986,700,510,307,137,037,018,268,928,983,110,
773,319,015,438,742,176,245,561,627,057,278,460,211,953,825,240,636,371,231,
820,398,130,007,730,172,834,959,494,380,263,408,511,570,762,069,076,495,622,
573,490,787,920,920,648,329,952,308,343,628,930,645,684,587,300,889,386,646,
514,280,969,182,220,918,195,984,009,082,532,912,901,472,629,794,148,558,214,
366,300,284,191,507,056,098,823,129,912,801,387,354,076,288,729,594,361,637,
130,573,840,988,341,637,450,411,740,836,918,569,026,788,992,445,302,981,773,
134,092,382,412,982,368,214,004,945,416,082,912,411,914,944,136,339,727,219,
655,240,881,360,252,438,886,033,831,130,137,454,210,569,320,486,844,847,744,
250,113,425,561,927,180,880,162,138,132,326,456,171,767,177,839,710,127,470,
390,842,350,721,042,808,752,686,653,406,718,320,875,251,735,804,118,399,639,
041,992,987,006,031,015,059,515,318,491,560,107,593,971,009,182,106,289,025,
924,714,193,718,019,869,392,461,172,723,814,945,953,577,731,344,854,550,943,
734,730,539,021,451,004,184,792,523,859,498,987,529,342,731,867,728,382,053,
979,396,190,304,519,776,733,444,618,512,537,357,781,939,241,888,778,917,658,
235,971,477,581,042,929,256,231,290,581,430,713,902,951,700,410,862,150,947,
568,770,110,115,922,581,699,779,266,012,023,942,995,769,332,923,283,020,421,
049,687,751,232,800,857,567,466,692,217,605,967,532,288,080,967,647,461,271,
590,326,888,898,487,312,633,918,651,386,130,497,230,618,365,316,706,386,677,
386,768,987,709,568,015,777,510,279,421,032,431,527,104,614,989,360,228,726,
769,398,125,087,082,641,823,808,328,916,977,323,528,709,152,431,121,209,639,
914,688,503,561,411,363,089,426,929,249,197,692,229,110,309,286,449,694,525,
217,051,942,954,897,847,134,521,440,651,934,948,263,921,848,777,210,483,963,
564,757,251,731,471,758,047,885,442,203,171,113,518,174,116,413,657,301,155,
087,391,288,956,004,512,238,279,452,924,210,473,252,169,418,468,106,400,054,
369,234,326,137,463,621,448,548,540,181,539,644,379,108,026,857,467,822,560,
399,169,998,632,628,174,138,383,107,552,109,534,171,246,315,627,829,438,743,
411,441,467,099,488,264,090,444,346,757,391,512,217,553,794,540,046,162,338,
645,425,969,415,355,842,125,927,953,701,830,616,145,153,607,770,042,646,424,
040,929,032,496,601,777,785,071,780,179,086,625,494,619,516,408,884,688,434,
129,156,395,371,561,697,191,683,279,249,612,627,716,985,400,476,714,454,641,
446,323,481,698,931,492,877,761,183,921,449,751,243,054,697,181,689,579,390,
904,939,901,819,169,865,218,021,881,021,679,640,249,769,395,681,156,121,865,
712,521,049,756,038,717,824,939,046,712,973,176,236,172,193,985,623,019,176,
020,446,426,827,386,241,456,672,931,666,179,842,230,228,990,489,300,255,328,
554,253,973,859,770,765,552,190,825,595,469,642,621,610,120,629,626,041,393,
713,416,079,049,930,530,841,438,926,015,686,080,902,758,192,408,454,084,869,
450,258,060,709,551,375,231,680,918,767,338,069,550,544,030,920,569,420,672,
599,041,065,975,435,337,462,628,973,884,460,401,130,680,680,795,623,729,625,
276,582,043,584,941,674,848,350,353,602,145,345,986,681,976,997,257,001,996,
939,875,311,256,745,870,583,928,943,116,223,118,968,477,780,027,125,339,103,
911,083,890,371,890,858,583,404,026,901,041,317,989,948,014,850,208,868,533,
733,345,538,332,857,711,269,271,505,260,358,333,070,794,223,459,825,053,238,
107,478,977,920,201,275,815,310,109,507,467,434,067,367,156,801,510,522,603,
311,828,306,551,315,145,406,998,463,409,679,449,551,066,170,497,037,926,941,
427,988,078,409,146,135,107,008,093,603,676,397,526,261,445,809,044,334,433,
575,764,200,302,807,091,840,172,070,821,559,304,322,561,489,959,460,514,911,
438,237,112,992,637,213,122,271,899,218,069,175,468,329,209,484,150,460,292,
747,947,833,506,282,982,795,115,695,700,434,592,951,521,753,441,124,390,588,
663,183,147,724,392,745,531,321,314,308,021,304,706,801,767,026,165,155,552,
308,218,702,725,751,018,508,643,796,573,491,718,746,445,362,885,500,099,122,
454,386,380,283,656,251,224,205,389,371,198,907,460,704,177,940,166,862,632,
153,851,026,878,245,522,098,005,975,703,900,450,199,448,558,722,056,975,801,
896,044,599,550,867,179,353,755,071,260,875,986,906,843,013,118,373,398,329,
477,118,170,873,982,348,385,055,403,906,128,290,058,105,197,898,837,386,378,
025,000,660,022,973,995,546,924,366,323,486,029,458,839,840,457,157,322,984,
342,946,444,551,399,125,898,803,641,397,310,135,520,597,407,233,340,394,476,
908,702,442,923,806,023,641,864,480,500,246,464,452,582,632,251,082,746,653,
980,899,350,665,476,252,261,748,709,645,302,934,763,695,798,024,522,777,537,
915,331,389,405,658,975,259,005,281,786,849,649,841,229,369,397,151,912,336,
140,473,428,597,355,477,895,754,733,849,245,655,692,073,747,254,842,684,547,
564,154,967,738,970,568,095,868,728,441,678,432,077,988,929,866,657,032,524,
295,780,649,709,605,722,051,661,005,805,968,587,585,029,429,956,389,058,554,
483,493,724,294,616,233,714,616,383,243,196,575,099,130,147,472,348,077,197,
123,408,246,488,958,357,620,554,525,271,536,126,668,142,294,380,082,542,996,
056,402,287,344,436,233,561,046,271,439,731,918,726,989,016,698,177,618,758,
584,891,540,174,013,651,626,984,720,163,213,760,566,769,101,323,851,018,326,
737,613,393,818,745,783,944,829,973,158,278,107,626,964,255,937,618,761,533,
360,002,034,217,937,443,756,480,095,867,045,300,509,254,141,957,834,814,486,
403,206,881,571,492,526,332,321,962,374,413,803,243,131,747,169,786,756,036,
400,527,400,495,830,524,138,216,681,920,129,613,917,806,163,998,306,009,505,
805,503,394,430,560,784,079,585,199,510,003,081,661,813,146,840,273,292,495,
057,265,093,377,967,994,770,978,864,747,733,687,397,303,541,712,933,095,933,
696,727,629,487,991,803,397,169,761,099,765,572,616,411,844,331,633,604,721,
075,518,690,865,460,099,227,122,558,493,673,367,712,159,190,583,067,824,900,
616,550,654,929,118,371,866,758,480,881,303,270,303,335,950,949,602,257,516,
018,014,197,539,698,434,321,540,813,417,933,901,846,453,429,142,344,565,885,
485,290,663,044,363,011,670,480,894,228,717,994,041,612,574,586,031,889,806,
416,166,126,126,422,093,232,937,384,711,035,487,474,592,620,166,558,637,353,
747,990,281,418,697,486,870,323,394,449,174,765,068,076,338,214,303,705,815,
439,474,279,117,293,471,088,347,286,941,901,894,954,164,796,099,929,003,968,
234,819,386,413,482,732,282,347,997,721,167,856,282,955,220,200,201,458,355,
916,306,167,303,211,782,156,394,001,091,896,714,453,881,889,221,326,248,230,
912,474,649,400,298,638,127,047,361,251,358,005,395,091,376,409,314,336,654,
068,352,587,111,363,453,490,774,327,644,197,167,603,913,285,178,945,295,337,
316,583,404,418,189,244,360,916,508,881,644,110,196,821,387,631,506,884,637,
424,343,580,836,670,443,540,750,681,577,639,372,263,714,604,771,198,929,731,
600,339,823,085,638,246,594,626,629,815,865,809,851,551,194,606,313,425,133,
408,863,407,816,223,371,203,657,124,797,968,413,403,933,319,484,038,015,875,
002,480,905,926,130,810,288,988,490,481,039,656,558,028,666,060,731,070,015,
660,077,101,117,240,949,989,030,311,513,681,953,370,366,517,203,171,816,834,
342,400,698,377,163,886,119,216,187,953,714,852,524,215,781,548,084,919,313,
135,801,818,325,887,932,885,110,618,513,447,566,680,027,696,264,028,285,318,
715,002,660,748,347,527,749,213,949,519,579,999,107,067,680,030,093,227,087,
662,170,585,570,312,999,830,170,833,534,517,206,204,149,826,716,651,281,524,
303,843,650,079,501,781,918,377,253,387,129,326,360,873,733,063,208,914,990,
352,519,656,656,880,243,911,290,690,122,960,726,597,359,714,222,159,798,842,
153,044,630,635,605,165,409,258,375,207,574,416,611,053,507,763,688,982,794,
352,395,818,141,828,379,833,194,893,643,464,558,649,861,835,722,690,144,197,
616,875,511,290,561,886,460,398,216,642,191,458,705,341,602,495,860,253,903,
999,337,252,564,744,827,036,141,408,260,389,109,860,950,060,107,636,457,859,
953,581,556,015,684,828,503,372,509,674,436,884,882,993,352,227,979,179,662,
881,726,020,402,313,123,823,592,490,032,358,159,318,174,540,048,871,392,076,
992,816,567,385,009,074,626,944,905,099,315,077,662,204,680,545,830,165,774,
464,619,307,186,727,370,335,765,893,188,380,884,098,559,185,480,411,948,488,
527,055,313,993,881,017,151,091,685,309,422,512,900,871,755,877,067,493,971,
997,442,843,731,384,894,537,141,143,125,044,723,420,721,018,100,971,705,913,
254,626,897,842,291,707,325,546,135,431,725,980,948,269,660,936,407,652,490,
387,453,209,682,580,964,041,173,475,539,214,517,430,522,151,043,439,338,399,
618,704,632,452,110,872,194,147,967,584,227,071,449,504,144,890,514,242,154,
776,599,336,104,848,584,466,127,654,532,114,127,977,796,260,064,729,897,319,
386,982,107,377,489,879,838,164,681,064,293,494,746,076,286,405,024,351,137,
738,264,097,877,755,939,543,281,342,725,188,329,683,629,074,862,442,672,010,
934,913,127,856,630,580,834,482,411,449,676,488,437,827,117,569,917,727,455,
785,145,585,828,237,941,563,074,106,843,652,009,103,167,455,960,981,384,759,
226,367,129,286,266,241,792,130,866,572,799,088,910,684,388,262,395,157,945,
607,112,924,265,334,079,801,880,536,503,223,141,091,930,322,043,182,652,203,
202,109,038,526,343,484,615,316,758,973,901,669,143,926,633,306,418,694,096,
875,022,666,447,200,569,124,501,814,211,305,149,337,975,866,054,137,574,464,
603,145,367,202,910,858,487,589,039,844,786,874,246,613,485,631,056,757,980,
408,181,533,175,824,576,612,695,604,503,756,035,615,096,641,783,733,399,415,
668,415,087,649,036,505,000,532,792,225,870,082,601,332,696,203,222,296,079,
978,136,667,745,497,958,659,956,108,076,465,597,927,280,147,601,072,439,408,
824,401,092,563,479,788,216,648,689,262,284,444,076,384,710,822,644,693,537,
298,374,501,048,807,012,629,914,603,194,244,627,233,386,875,680,185,825,548,
286,274,703,885,637,472,045,748,343,677,678,920,239,731,355,608,274,900,233,
797,198,883,925,540,480,431,991,022,692,737,803,027,082,577,924,721,475,907,
952,557,888,790,142,393,885,784,789,389,871,810,011,527,718,081,711,788,480,
042,834,597,887,863,573,096,781,173,582,778,519,194,176,146,317,270,114,648,
850,899,335,799,913,289,243,309,344,948,990,921,906,658,085,108,705,984,592,
331,401,734,680,797,120,156,359,898,437,944,187,078,330,230,268,214,699,706,
391,857,688,493,345,654,415,698,076,897,084,931,429,673,706,791,109,279,237,
313,421,304,097,058,020,518,703,815,211,224,032,503,130,579,275,514,253,135,
107,504,958,557,222,893,222,419,173,370,893,512,876,928,900,686,631,750,868,
805,771,778,988,857,360,799,987,416,124,439,140,164,667,304,744,859,205,044,
258,786,381,275,175,634,859,424,417,749,905,256,832,278,804,299,904,729,113,
182,793,318,313,646,322,082,724,724,910,360,949,765,724,556,126,672,430,716,
033,088,166,109,664,120,308,780,746,436,016,446,387,004,445,502,671,779,278,
968,432,814,084,069,356,326,345,774,151,493,114,372,871,455,139,381,262,597,
425,584,205,532,609,167,376,717,360,156,587,677,187,831,768,888,784,097,871,
534,435,791,580,835,060,524,665,403,845,926,449,813,142,288,584,374,257,358,
153,123,771,583,265,080,598,448,342,131,262,240,380,774,515,592,735,270,679,
346,640,295,902,864,308,350,178,819,433,720,623,317,088,259,794,285,084,149,
322,689,851,334,632,579,161,197,671,279,567,288,491,401,783,800,193,695,076,
313,202,126,082,866,890,867,159,751,214,428,000,960,212,937,613,550,538,088,
440,656,672,346,893,030,387,714,311,046,386,125,737,239,376,778,312,622,646,
187,966,667,663,619,750,824,920,911,224,968,118,190,927,747,376,156,100,000,
099,327,620,906,327,500,389,254,341,380,741,772,164,946,621,628,103,931,194,
398,319,868,277,292,025,487,469,223,702,080,250,776,529,765,442,797,929,273,
501,055,939,771,136,663,479,097,012,919,199,063,474,084,390,554,145,507,197,
284,071,620,876,664,996,281,547,743,577,285,926,970,602,377,469,580,147,340,
851,916,650,319,162,873,551,888,771,154,126,294,616,507,640,689,726,480,195,
784,338,017,347,611,899,191,527,198,337,472,945,099,752,361,658,902,634,381,
237,284,790,476,209,484,899,015,159,014,480,289,450,125,110,522,420,699,771,
615,615,926,330,757,273,766,270,297,646,580,865,574,226,831,673,497,230,296,
575,305,080,064,667,409,185,761,854,907,750,821,465,870,834,501,912,382,454,
217,267,011,385,158,825,672,517,408,703,953,831,764,308,499,227,727,254,933,
748,762,432,464,309,764,384,616,833,760,717,328,193,540,082,447,871,513,762,
652,250,702,800,941,370,684,937,146,850,174,369,549,422,445,661,661,085,582,
720,084,183,924,158,539,086,094,846,103,657,155,932,797,722,947,199,494,384,
164,261,872,625,138,764,087,193,917,416,098,763,321,866,189,429,213,766,278,
109,485,724,208,377,270,088,222,118,013,440,612,911,473,661,866,450,154,030,
114,488,674,714,042,559,954,478,564,305,464,694,668,265,157,523,443,752,451,
268,286,238,966,419,597,240,502,973,080,718,779,375,180,100,629,255,561,712,
777,890,875,748,168,923,861,182,135,226,789,693,555,289,529,183,359,731,439,
899,884,155,665,531,824,696,461,530,029,793,915,199,453,388,832,437,453,084,
374,118,544,681,603,216,880,259,883,365,363,862,672,044,265,966,215,727,687,
196,838,106,799,289,415,090,299,667,425,280,047,117,044,303,615,194,075,241,
052,884,013,804,688,014,184,097,979,208,286,673,008,650,849,489,385,708,331,
070,960,946,619,193,535,136,487,048,297,885,825,228,846,752,083,234,443,762,
150,251,502,869,526,094,303,530,502,212,320,460,677,284,452,602,066,264,066,
242,933,794,766,723,135,069,372,659,607,533,892,438,471,267,116,526,444,928,
030,152,653,449,753,908,476,044,528,823,086,505,293,071,015,096,937,870,930,
405,020,382,503,913,504,569,942,271,936,254,536,019,591,527,871,938,668,974,
416,035,733,578,827,848,115,869,911,127,856,376,816,119,411,794,815,918,048,
461,344,015,076,402,194,645,740,255,594,017,309,182,653,947,625,251,962,765,
571,961,009,089,558,419,244,495,834,820,648,476,942,234,532,759,653,329,855,
298,453,894,953,192,620,648,126,019,638,497,897,814,955,642,139,804,863,409,
313,332,589,872,005,858,405,261,393,826,947,059,456,936,091,529,082,921,685,
050,540,324,704,576,637,066,501,311,245,043,503,731,643,855,088,730,703,772,
576,857,423,180,668,179,504,139,962,195,791,378,809,227,433,056,935,724,384,
492,222,537,156,036,517,922,604,197,929,406,869,762,812,571,316,394,588,943,
677,380,335,736,277,406,999,064,959,020,453,294,738,270,997,228,037,125,184,
676,707,463,211,751,252,811,532,573,299,952,603,534,598,192,926,278,544,029,
459,932,487,800,637,668,293,432,032,700,643,349,322,362,948,647,701,437,680,
867,758,315,545,728,715,690,212,045,648,799,847,790,129,204,577,162,090,051,
678,059,709,583,929,979,534,553,006,296,732,727,130,755,921,566,574,408,458,
168,893,226,731,417,923,409,272,436,048,032,431,786,828,622,569,138,442,013,
477,764,345,581,382,865,711,822,883,463,701,416,585,226,779,254,098,178,441,
107,666,504,572,827,471,285,540,712,577,537,073,724,382,625,271,603,226,639,
228,019,052,322,083,458,996,778,919,248,350,931,780,411,131,644,839,733,571,
183,604,853,533,037,622,266,385,891,318,741,340,904,554,884,100,115,359,640,
762,868,171,452,849,566,763,206,517,974,667,395,072,158,615,343,574,695,149,
752,443,485,064,124,287,024,471,812,825,592,867,317,115,544,821,190,446,880,
701,602,405,662,312,373,521,767,265,313,253,011,332,104,252,666,499,776,423,
106,100,713,909,356,802,577,568,076,891,052,354,512,935,253,469,887,117,358,
035,297,668,052,341,285,562,679,773,422,582,213,770,351,647,776,242,725,820,
805,054,815,971,068,319,593,603,204,300,625,502,595,344,085,352,339,519,374,
162,737,532,046,963,412,141,371,606,591,343,853,464,307,308,116,160,671,803,
742,978,004,514,662,478,001,757,409,551,714,003,382,554,472,857,858,363,854,
211,138,949,992,825,190,618,784,794,544,399,993,246,944,531,923,149,800,698,
382,306,704,600,924,935,427,855,706,840,542,325,391,059,812,284,590,114,978,
230,018,716,173,503,815,632,208,022,711,950,530,437,992,923,795,966,684,664,
604,603,555,259,337,357,193,315,406,278,059,914,354,196,667,397,200,263,997,
213,219,063,327,416,942,531,748,847,401,513,126,821,205,964,455,293,029,713,
816,402,728,000,153,342,561,210,605,044,280,492,065,414,982,604,641,513,956,
062,950,840,259,804,608,529,392,490,844,995,194,135,036,318,206,175,889,767,
605,359,747,170,900,874,254,266,715,637,649,143,113,007,311,751,640,516,806,
183,447,341,586,310,138,744,370,160,891,675,995,589,975,343,246,299,996,458,
148,639,560,422,743,488,286,432,074,502,029,955,111,394,566,010,451,921,256,
555,348,212,494,385,398,227,545,241,996,149,336,856,471,001,712,040,393,891,
106,281,238,623,908,346,892,670,353,740,797,018,654,774,660,249,845,305,730,
536,598,177,127,972,514,923,190,354,151,709,498,909,869,754,194,847,160,737,
699,414,500,438,056,190,064,213,423,551,244,334,481,876,825,245,803,382,390,
999,125,325,658,357,440,701,672,426,695,062,741,456,631,286,641,978,209,580,
204,653,431,553,161,532,721,964,020,168,480,536,073,883,905,916,048,427,949,
082,019,406,613,481,402,367,749,253,978,278,784,563,083,543,386,663,668,805,
326,633,145,840,117,819,746,120,523,912,876,109,181,280,908,124,187,515,559,
181,787,243,623,473,443,497,486,271,247,678,595,771,258,715,891,651,253,920,
223,813,319,430,732,243,622,321,030,340,753,373,935,683,041,545,349,386,107,
001,492,160,670,104,374,345,735,185,260,705,873,102,940,050,723,638,488,596,
031,879,861,936,413,569,371,909,873,948,088,898,603,504,789,158,540,533,071,
748,962,249,995,111,517,705,075,121,755,648,073,361,936,322,403,531,062,555,
010,905,366,335,292,965,072,119,158,138,310,548,525,752,804,852,053,289,189,
989,589,114,761,036,285,371,408,608,786,764,422,804,184,508,599,227,089,029,
424,918,097,654,785,108,035,008,091,030,090,671,640,863,036,431,889,265,777,
402,791,964,732,102,794,525,617,904,631,810,614,500,052,613,051,065,642,330,
597,586,529,127,207,379,781,190,607,223,367,924,503,291,482,806,321,657,884,
029,089,594,526,581,796,194,813,390,797,767,404,067,179,847,266,228,774,323,
081,346,370,624,341,635,320,407,719,054,154,997,649,522,434,845,254,725,345,
790,211,927,396,163,978,857,428,429,806,659,900,725,455,634,163,836,262,152,
278,573,428,513,918,682,109,481,228,030,705,337,943,595,376,080,830,434,873,
253,497,157,684,334,817,967,373,311,384,884,668,179,902,512,557,227,117,341,
071,988,895,910,818,538,813,010,929,395,593,268,707,348,696,864,832,770,683,
765,259,701,546,310,863,385,409,447,425,950,293,896,202,348,307,919,995,588,
489,314,649,867,816,652,494,448,048,131,614,180,869,059,167,050,222,070,624,
852,535,263,396,350,431,303,250,110,190,767,836,630,927,256,129,600,606,561,
900,589,034,745,994,002,036,172,604,004,923,287,101,239,786,901,883,536,925,
867,898,754,570,721,355,729,459,462,747,119,587,524,335,987,031,591,355,640,
404,849,951,871,937,870,179,422,934,602,755,525,265,051,841,527,338,635,522,
121,175,890,851,486,475,768,752,716,201,632,739,724,679,465,346,680,744,021,
315,737,702,908,379,839,313,735,983,606,673,180,944,399,273,535,738,641,669,
158,324,884,409,526,744,114,092,695,616,285,744,274,381,539,457,327,465,222,
301,532,146,125,554,812,059,223,544,167,660,039,339,055,657,381,146,917,121,
879,742,957,999,330,603,823,793,553,839,466,359,346,419,492,536,819,620,407,
871,478,789,534,138,901,066,978,912,413,880,112,517,149,688,599,496,990,915,
455,986,247,106,404,104,085,108,742,905,801,703,020,097,193,385,476,643,733,
133,158,192,373,261,636,316,792,549,517,358,318,972,100,041,279,188,209,254,
394,715,593,278,617,486,553,335,087,204,672,617,488,756,720,549,499,778,847,
309,678,372,828,143,695,674,517,117,145,551,850,139,918,991,843,419,053,190,
404,853,757,836,982,577,466,770,917,436,849,479,325,844,906,517,370,978,705,
208,267,161,376,337,489,632,675,549,552,560,738,690,848,812,934,455,091,117,
831,704,508,119,880,091,409,888,241,723,172,243,370,258,728,061,332,264,589,
737,058,848,423,021,832,561,743,371,591,650,790,219,985,839,397,918,772,819,
094,678,197,439,057,956,308,484,362,038,618,375,581,866,696,796,148,605,710,
604,923,979,239,449,343,312,517,177,955,957,724,628,533,343,160,498,511,851,
118,890,707,653,833,958,961,556,943,121,407,470,489,909,403,944,723,810,987,
085,285,434,454,043,622,836,901,774,709,596,658,042,654,106,836,288,940,995,
652,087,881,333,274,460,352,749,749,321,690,572,411,307,089,942,564,141,199,
126,548,956,103,828,341,880,945,540,363,660,588,118,001,656,189,210,312,721,
639,535,135,988,785,870,788,915,635,214,887,173,725,945,344,144,259,808,036,
163,751,745,235,436,474,306,268,113,180,048,406,290,364,085,683,722,103,678,
266,867,189,300,186,250,659,803,132,659,711,004,091,634,692,595,422,056,650,
533,756,199,876,845,793,660,632,625,972,119,939,406,361,058,575,981,122,702,
712,660,079,312,296,599,628,218,140,800,451,197,648,580,319,686,860,466,192,
928,251,664,874,545,707,639,804,733,576,047,634,541,271,189,633,994,262,392,
011,110,728,791,614,754,218,172,612,830,806,547,551,256,527,761,977,745,770,
963,540,704,002,841,996,421,497,171,170,807,428,574,592,313,109,222,460,042,
691,543,029,743,808,154,722,013,194,175,025,462,736,062,631,783,503,189,259,
853,293,844,595,683,706,530,104,287,361,903,835,360,405,515,788,826,697,581,
045,027,713,808,410,843,533,760,490,570,540,348,003,979,783,464,464,916,133,
457,069,848,336,825,864,514,812,304,609,271,780,068,870,745,703,885,127,047,
409,716,605,958,319,409,407,822,410,610,891,067,972,781,490,396,872,278,168,
720,733,080,421,556,497,849,881,181,007,723,776,770,960,649,581,683,404,813,
623,344,698,854,769,021,033,433,086,131,574,668,291,935,158,480,069,755,110,
798,696,158,031,049,930,848,010,028,146,645,319,761,432,951,142,589,014,764,
860,807,449,208,129,380,054,230,339,778,297,595,087,702,312,834,129,978,914,
631,056,251,761,343,769,430,960,772,145,619,139,278,822,238,577,431,212,144,
666,874,712,147,688,227,828,049,464,486,246,140,327,452,539,486,852,618,279,
792,361,330,214,313,393,945,951,395,107,621,191,921,156,915,825,323,773,181,
702,477,789,769,954,969,384,142,326,767,765,916,707,892,138,277,931,621,360,
704,131,570,083,888,285,081,382,168,841,717,488,945,392,558,881,432,477,494,
791,489,575,470,145,629,707,525,577,095,421,939,023,890,931,764,493,607,991,
422,254,774,168,710,501,239,507,788,653,190,266,708,830,698,432,268,427,760,
085,957,753,970,215,847,647,649,452,996,306,970,097,653,699,225,102,332,679,
120,836,530,844,484,895,797,367,617,171,678,872,703,708,078,861,261,683,726,
874,910,774,485,609,054,521,732,990,633,714,220,726,343,619,198,894,744,237,
257,857,121,270,433,110,327,514,159,261,022,494,596,668,362,941,519,488,474,
889,460,494,322,509,441,129,645,942,298,731,755,189,115,497,706,248,938,371,
561,037,705,558,425,526,584,968,419,269,855,208,482,896,671,428,947,470,027,
060,411,056,340,271,756,428,946,860,450,826,826,663,943,906,121,777,860,626,
349,985,414,712,933,197,363,021,296,276,350,244,036,517,799,644,251,829,065,
915,413,389,589,287,331,923,378,849,696,074,046,412,070,015,778,196,836,052,
989,264,504,891,696,936,475,463,580,122,612,932,962,443,317,504,858,080,159,
047,892,696,379,929,884,785,819,645,391,194,831,637,942,871,423,396,604,296,
684,149,202,585,791,401,276,952,842,314,543,935,559,543,803,114,210,611,510,
771,170,339,313,616,431,354,731,379,223,405,603,917,682,336,850,194,604,682,
413,890,765,640,110,700,369,144,666,648,089,481,550,702,153,989,415,826,917,
670,669,502,204,143,728,165,546,605,562,286,242,585,837,768,756,358,147,875,
965,202,783,905,295,111,061,601,936,703,801,847,288,712,467,706,919,775,845,
145,886,106,603,122,744,366,885,412,095,287,146,238,174,782,242,450,897,993,
403,203,209,872,332,013,598,096,625,763,502,079,381,342,630,140,125,491,877,
323,342,166,290,631,646,263,269,142,429,115,034,109,860,742,878,857,805,498,
082,373,640,609,275,459,857,024,186,009,568,803,635,837,659,471,790,304,296,
980,922,257,261,946,187,219,873,334,688,240,432,139,309,285,870,293,372,558,
184,587,767,567,085,946,967,074,982,695,533,643,292,152,323,082,563,150,241,
105,278,812,097,097,030,990,901,332,609,377,312,628,200,465,393,942,968,334,
382,821,443,843,351,979,359,808,916,333,755,291,506,815,716,890,562,157,065,
472,064,952,274,130,059,084,182,409,902,625,854,605,602,975,767,971,447,056,
991,806,240,786,371,500,313,026,677,129,547,029,837,016,510,963,918,652,095,
815,600,434,087,247,386,975,738,139,859,936,959,663,699,066,362,848,446,078,
793,545,831,201,985,685,385,012,791,254,973,766,302,293,775,251,696,701,674,
411,879,858,456,778,603,771,123,733,931,065,691,371,909,873,966,288,668,910,
051,086,641,991,157,328,945,329,520,998,637,953,015,021,980,743,285,676,170,
783,983,337,887,638,950,887,447,465,461,166,235,995,156,216,090,522,954,641,
567,391,488,695,928,268,472,533,893,259,705,755,881,089,005,828,506,897,385,
194,151,317,048,178,375,270,228,128,835,594,594,599,392,989,675,745,930,218,
335,424,634,570,369,410,363,115,061,170,629,617,063,981,894,182,381,538,789,
874,730,785,464,775,646,163,768,474,838,531,347,372,589,626,788,053,894,924,
253,798,550,346,293,896,760,116,615,253,798,595,141,560,895,351,495,266,324,
937,937,286,885,609,598,743,644,245,956,971,046,951,397,517,569,958,325,444,
747,212,080,924,828,105,596,676,304,072,611,221,136,496,566,629,988,094,861,
755,522,118,989,029,652,520,908,954,004,544,908,773,934,472,543,986,506,667,
233,502,675,268,382,075,007,071,200,495,553,097,571,297,339,252,061,635,856,
195,183,127,601,381,971,029,952,439,030,977,312,831,484,510,898,092,577,758,
822,431,585,361,877,436,599,814,597,425,386,981,022,902,175,749,303,805,846,
339,670,929,344,982,275,422,288,928,440,194,592,171,223,497,883,649,486,699,
636,656,186,228,742,016,139,657,376,863,145,643,193,709,551,226,585,660,678,
286,531,307,990,859,740,729,345,460,619,867,537,101,942,775,198,777,516,802,
755,546,143,130,368,025,785,690,812,423,600,521,777,952,055,406,217,380,960,
513,275,606,434,966,988,840,474,041,336,537,640,887,855,714,129,761,727,681,
916,932,764,570,054,537,500,441,208,818,682,887,340,994,287,096,270,169,963,
160,926,942,902,577,328,333,429,421,847,780,699,427,352,751,270,734,351,446,
439,966,064,766,919,648,739,209,564,869,390,693,058,972,282,327,627,340,164,
847,330,471,367,087,507,066,061,717,602,169,729,748,107,575,348,239,576,305,
161,870,989,153,124,493,491,051,761,695,145,906,048,508,039,822,418,925,639,
656,776,014,843,637,485,160,201,348,741,463,589,980,858,349,192,256,944,976,
582,905,060,775,730,085,907,052,413,962,848,895,449,878,278,653,341,400,415,
894,377,956,649,402,594,766,553,826,591,590,169,285,510,049,566,018,471,788,
484,056,071,607,942,320,513,831,040,945,256,580,993,028,735,484,408,213,709,
724,593,361,042,603,188,342,111,885,157,621,229,426,424,897,340,051,686,322,
217,608,319,840,118,076,630,733,231,303,212,366,166,038,731,722,738,833,512,
871,175,284,659,992,250,107,823,243,751,077,007,597,521,284,646,527,903,014,
057,832,731,251,328,219,546,320,104,445,003,358,443,350,113,585,205,415,275,
051,518,885,396,013,461,847,890,205,433,509,232,124,470,219,089,842,015,978,
734,829,064,207,444,452,288,879,758,848,462,316,143,787,094,889,467,855,585,
349,222,022,368,751,772,588,904,342,353,872,266,295,655,115,752,100,713,715,
321,549,715,064,059,474,106,406,864,957,112,231,691,582,582,800,058,273,605,
430,703,230,118,649,826,883,057,528,860,377,028,316,152,881,013,354,236,281,
315,201,696,909,940,481,534,610,918,373,240,097,944,971,641,861,660,153,277,
137,381,512,217,337,975,170,862,334,883,386,121,824,126,678,577,591,621,550,
945,769,053,186,585,025,259,706,196,620,330,699,225,127,936,517,565,065,708,
383,389,010,847,673,558,442,274,370,139,000,915,494,266,071,227,289,679,093,
473,250,252,427,702,539,582,345,290,381,651,773,493,922,446,515,687,141,013,
814,072,649,731,396,222,007,517,379,941,155,430,134,011,876,427,625,139,116,
952,271,623,044,837,138,166,825,672,327,422,785,870,796,416,265,487,231,835,
222,605,048,379,310,947,631,384,147,825,692,127,160,057,511,075,597,037,996,
774,412,724,336,785,983,090,092,440,349,989,697,750,075,717,741,017,069,314,
691,743,014,535,237,116,250,329,874,851,254,886,352,693,640,145,252,914,522,
595,728,418,232,109,816,822,070,867,900,276,957,443,198,477,750,682,962,142,
806,135,161,941,912,427,956,832,598,228,380,745,788,223,413,039,778,935,344,
813,679,407,960,787,649,997,054,644,291,946,432,158,160,594,314,781,051,549,
983,464,223,052,750,068,595,851,296,139,800,549,475,203,042,608,867,728,796,
349,713,148,906,172,218,799,678,469,518,721,823,246,669,175,509,330,812,956,
167,602,256,111,133,716,465,831,503,463,369,805,983,532,253,766,818,453,698,
185,335,508,939,112,282,168,468,431,389,119,727,811,548,912,814,895,530,725,
942,345,311,580,678,357,479,476,155,474,626,515,530,960,336,372,233,205,836,
544,146,227,678,584,496,348,293,762,267,534,251,483,985,014,243,527,140,120,
148,798,709,553,510,710,490,019,161,699,096,916,570,661,013,612,379,324,323,
300,712,846,311,399,256,260,491,820,461,922,449,508,770,007,422,506,139,094,
750,850,321,946,696,054,716,350,490,453,802,417,697,765,406,539,308,138,846,
044,382,743,657,056,976,175,190,702,658,414,121,804,177,659,920,656,929,731,
037,817,609,707,037,060,898,969,319,290,034,306,493,785,892,659,861,051,802,
426,524,514,778,838,113,107,744,143,652,346,461,074,601,899,448,700,413,086,
474,458,218,798,231,832,234,559,939,186,412,961,022,747,326,449,190,652,066,
223,603,202,653,506,094,838,827,185,074,844,531,294,454,907,142,597,604,582,
115,217,629,799,290,512,251,983,056,509,523,055,439,118,260,664,614,117,813,
647,210,352,642,659,586,207,986,917,095,587,433,389,705,138,781,045,239,443,
955,262,126,944,324,523,251,083,792,536,119,138,161,753,113,862,640,547,746,
050,193,448,252,240,556,979,180,680,684,636,421,032,124,679,841,901,259,953,
838,070,775,238,686,561,768,147,191,047,565,894,739,837,663,704,542,710,609,
545,726,923,101,624,346,016,697,224,774,996,623,423,804,306,571,651,881,426,
213,522,078,966,158,383,533,887,616,299,515,357,299,888,340,050,226,314,373,
931,172,121,123,621,189,065,894,503,541,308,605,383,673,598,876,886,549,695,
006,925,064,628,565,491,466,489,575,518,522,222,542,027,326,370,324,116,637,
269,904,829,418,120,357,002,021,485,728,859,261,534,023,460,699,735,388,571,
734,326,739,174,387,303,939,573,865,531,491,238,520,358,359,484,946,950,511,
042,325,083,157,393,585,430,605,937,890,912,389,849,901,522,111,898,564,745,
816,428,557,363,027,062,418,413,506,225,055,889,025,792,186,865,304,698,254,
727,662,263,780,242,011,080,444,687,666,551,069,138,386,340,169,084,714,060,
038,862,782,356,502,160,535,100,786,889,306,174,017,269,672,906,942,343,466,
250,722,094,379,093,908,798,551,914,190,441,083,767,798,868,906,869,043,684,
097,776,822,966,475,127,497,704,137,351,951,296,148,748,298,047,019,284,285,
880,377,582,703,958,761,736,776,084,527,191,525,487,374,801,467,779,511,546,
261,474,205,279,253,718,962,064,396,828,106,718,146,568,366,527,985,267,797,
545,884,664,980,398,886,039,887,121,646,199,471,094,731,873,457,368,639,413,
176,368,236,028,819,962,540,287,731,493,812,281,353,885,185,612,628,912,272,
618,734,007,403,714,199,310,726,812,458,737,846,227,550,838,879,454,327,819,
188,392,887,074,607,885,236,916,571,548,080,798,169,818,375,102,042,249,618,
955,727,058,270,513,947,239,526,497,188,920,112,890,351,438,048,429,121,633,
717,182,264,205,837,936,884,136,777,695,034,113,431,377,518,942,396,050,760,
937,183,545,712,851,320,408,402,976,131,526,153,923,153,348,615,293,414,001,
812,989,142,331,829,576,875,458,641,611,535,250,941,319,652,668,972,285,427,
334,918,094,779,865,833,667,587,100,320,124,159,944,021,243,954,463,495,520,
516,572,327,911,175,535,550,096,883,682,059,178,736,924,437,242,099,610,913,
271,077,065,752,004,781,690,240,965,217,167,877,612,298,337,194,993,984,057,
969,484,991,393,833,309,164,990,478,723,013,646,646,641,837,919,294,878,022,
555,253,659,690,242,441,470,214,023,654,647,416,067,855,784,082,121,804,812,
194,293,976,714,744,681,697,078,455,088,357,457,230,547,289,520,938,273,969,
519,124,982,097,723,080,265,241,306,995,765,308,838,351,386,370,664,400,183,
970,152,820,214,268,053,460,937,397,661,656,306,989,716,863,343,494,169,489,
048,233,534,816,746,285,985,719,071,199,745,779,357,885,901,591,133,000,458,
271,883,841,415,959,855,802,326,865,405,156,261,968,768,091,628,173,095,200,
408,822,706,221,534,989,196,659,639,202,604,772,957,040,639,214,322,573,746,
755,197,493,205,610,452,450,263,060,734,157,488,330,338,946,251,499,308,728,
123,767,678,928,268,641,640,644,093,517,655,204,881,939,996,240,887,312,246,
979,508,805,776,248,712,741,415,319,072,790,199,540,695,854,963,974,538,475,
511,136,629,065,990,306,362,355,141,526,054,127,293,945,880,643,317,701,575,
381,219,662,084,813,057,184,132,559,781,185,980,102,664,431,974,885,936,572,
634,953,040,604,838,398,090,267,689,287,314,335,572,284,979,508,436,785,619,
179,091,257,148,415,964,380,758,334,159,904,218,765,806,698,949,829,943,053,
728,758,537,399,197,250,014,652,510,879,815,209,335,588,833,183,218,410,422,
745,654,996,910,078,606,374,445,686,785,190,346,748,776,679,600,241,319,690,
312,189,378,613,723,187,343,767,399,341,698,143,331,609,979,379,706,609,232,
559,981,512,764,977,753,344,785,427,052,335,054,016,985,900,345,952,857,008,
837,269,498,241,700,822,338,799,553,669,087,633,398,990,031,328,608,960,957,
601,717,495,735,603,668,293,456,779,839,262,402,198,623,649,716,467,025,125,
650,833,258,746,255,911,027,601,966,320,473,442,081,616,107,079,582,703,234,
448,350,825,178,775,233,627,483,166,065,007,254,863,801,663,884,999,567,149,
553,594,451,354,703,075,713,986,285,303,855,514,682,545,082,624,818,514,929,
103,857,208,389,192,406,659,355,991,286,916,499,225,769,171,563,693,408,643,
239,452,109,628,171,402,466,482,447,451,506,465,024,313,977,077,014,162,081,
274,472,421,022,497,242,042,764,130,794,020,618,945,762,082,639,442,131,149,
056,120,484,475,778,472,605,479,711,766,105,418,574,291,465,179,277,953,088,
812,723,065,811,283,085,427,154,027,374,360,724,246,551,491,784,869,385,003,
987,717,104,817,106,486,098,507,649,246,788,898,233,881,897,022,875,620,902,
474,549,960,935,650,391,620,650,968,293,939,333,188,059,953,474,139,291,746,
009,278,984,433,134,128,470,570,768,283,587,146,910,038,244,295,018,756,998,
989,335,049,373,032,801,325,397,983,286,104,434,016,269,988,929,937,553,885,
884,056,788,578,028,819,217,528,054,624,944,426,113,259,440,547,230,208,057,
996,656,790,164,707,567,407,248,461,734,437,702,386,632,588,972,201,690,606,
408,314,615,914,103,738,092,662,398,283,262,411,589,656,117,468,319,083,910,
986,698,048,069,098,568,691,218,829,563,504,130,126,366,727,822,915,551,258,
049,033,026,892,685,499,214,737,030,036,417,919,586,224,757,669,693,937,588,
735,942,768,905,590,544,035,562,228,864,374,319,647,476,953,067,735,520,973,
388,265,942,836,465,739,361,314,520,001,510,302,314,204,230,283,241,851,975,
566,826,004,215,341,416,369,331,906,656,795,200,727,649,271,611,931,004,584,
978,479,481,830,584,574,235,700,805,186,145,837,030,055,469,391,145,775,698,
579,671,481,104,006,045,628,847,908,332,143,009,110,716,882,464,433,935,685,
664,844,590,925,530,628,826,817,645,796,515,704,970,117,244,208,481,075,823,
154,555,702,699,863,565,181,269,249,614,156,457,392,342,908,744,425,305,641,
810,656,353,705,197,615,505,899,788,811,101,341,594,182,621,470,897,294,450,
481,976,723,126,532,153,893,480,643,606,308,164,442,118,619,459,163,010,680,
314,201,434,437,797,257,173,467,633,370,069,512,551,345,114,075,421,118,136,
315,735,553,935,384,804,354,076,361,532,271,281,505,574,793,824,780,160,691,
961,032,951,025,652,251,922,293,661,222,673,720,750,372,483,712,587,754,984,
351,989,722,578,618,619,959,147,595,109,229,561,825,942,372,726,078,672,111,
388,360,851,776,048,387,194,968,117,977,143,663,086,152,445,612,048,673,446,
871,352,528,938,257,750,978,764,630,165,388,322,377,468,674,463,744,099,682,
906,583,658,398,199,116,629,231,896,114,901,794,174,371,606,531,626,090,890,
206,876,008,272,244,769,631,993,926,896,412,852,788,226,622,384,866,580,421,
996,972,304,317,363,588,843,798,117,235,180,711,356,379,350,493,254,702,711,
833,402,109,573,316,134,092,763,659,214,954,134,581,550,343,195,382,951,458,
811,216,836,647,318,278,641,994,743,075,201,319,847,051,795,686,788,545,793,
630,678,602,620,093,616,941,846,621,033,941,412,772,701,332,011,911,071,575,
035,420,088,700,313,593,939,446,069,231,523,055,712,083,164,820,808,429,713,
829,006,240,963,924,890,755,414,751,392,384,916,787,257,939,971,696,181,645,
876,061,596,046,489,707,796,916,637,353,729,784,484,733,063,164,336,939,157,
122,502,505,162,732,938,194,315,096,283,489,224,825,289,983,531,341,031,670,
370,183,237,028,919,833,849,987,884,599,794,318,994,423,708,076,988,479,189,
075,332,458,551,438,939,675,703,131,119,983,412,224,571,088,863,927,674,950,
781,139,536,363,733,012,694,466,639,396,853,031,282,301,402,200,074,052,341,
800,482,429,150,313,848,328,850,472,159,900,486,490,322,603,704,801,323,151,
675,483,211,644,380,200,658,586,657,545,086,813,178,952,240,530,517,703,178,
480,138,633,677,715,257,761,309,752,682,233,263,116,665,109,501,498,547,353,
615,669,407,717,361,677,911,307,723,652,529,529,889,452,299,925,647,472,494,
132,933,179,620,551,002,145,164,466,206,923,387,752,457,091,697,509,104,954,
095,477,345,105,202,538,985,629,832,293,685,519,555,715,837,685,070,105,868,
674,476,148,964,528,349,934,040,728,180,706,608,059,573,864,681,566,636,218,
303,487,744,386,451,336,796,264,576,792,850,948,359,380,053,704,218,975,164,
500,287,816,942,988,139,196,372,783,505,299,576,246,128,186,856,116,564,453,
284,802,819,808,025,807,980,021,414,970,474,521,718,181,246,669,407,085,368,
759,396,241,897,438,626,521,253,593,913,260,035,889,930,937,978,909,225,664,
454,938,749,193,164,248,898,131,213,354,002,534,984,999,684,551,123,623,618,
218,500,583,065,241,566,766,845,159,325,925,500,515,731,481,132,844,648,738,
994,137,462,968,440,050,638,264,876,883,436,320,052,260,574,980,430,582,657,
607,303,848,504,739,879,415,113,480,089,512,168,325,016,338,328,661,810,284,
277,999,099,633,068,858,845,433,994,768,241,277,845,625,636,455,292,416,095,
875,624,252,101,540,077,486,454,891,488,362,842,601,609,997,041,152,082,646,
250,873,823,569,157,272,407,382,204,910,147,335,913,673,883,928,595,510,302,
083,547,799,931,695,118,908,334,766,135,055,602,746,874,195,378,936,672,807,
288,174,820,646,633,856,116,497,903,096,835,581,507,685,276,236,067,726,199,
904,646,877,647,818,692,839,424,712,591,490,286,797,122,424,239,735,216,534,
296,907,573,835,264,514,796,612,813,159,444,405,266,902,803,361,223,660,744,
991,227,636,645,584,314,543,280,354,345,542,075,216,677,835,792,159,451,270,
412,178,125,488,270,463,296,566,240,422,461,940,253,206,278,376,229,519,147,
062,242,785,712,474,868,590,953,795,819,056,300,803,521,594,036,704,586,062,
700,402,102,118,800,141,952,850,378,637,255,577,678,140,637,656,533,260,541,
406,192,538,651,204,332,342,338,670,025,449,428,058,361,112,045,082,143,486,
566,919,226,378,973,942,337,787,890,122,199,358,647,198,830,258,697,651,075,
356,593,146,111,792,290,437,692,821,709,087,817,805,785,322,991,989,476,591,
786,497,149,619,395,510,650,840,645,644,103,659,909,212,644,785,116,585,547,
832,610,866,886,725,577,034,986,899,855,422,511,334,238,694,159,160,649,545,
468,211,617,710,627,610,141,145,947,088,761,058,705,273,695,988,098,001,217,
778,789,736,556,133,876,162,898,166,428,714,780,269,158,668,351,146,614,948,
802,801,446,964,419,456,627,583,613,093,644,678,074,726,223,366,862,413,499,
138,211,380,465,067,426,007,373,026,552,706,951,098,451,746,788,046,328,518,
892,763,796,419,057,866,323,881,395,996,451,124,281,131,765,104,037,983,696,
141,158,615,816,354,333,949,112,957,712,864,693,095,886,734,931,152,524,759,
891,948,041,606,039,281,241,595,543,905,025,397,907,069,929,540,523,800,107,
028,306,766,986,027,465,656,671,873,370,086,388,833,411,208,209,915,842,388,
139,633,608,662,640,062,042,515,863,978,971,241,176,544,734,929,376,580,871,
256,912,358,303,975,700,186,536,202,179,656,676,784,302,534,995,451,429,149,
085,829,223,958,252,624,237,908,201,329,807,708,580,722,020,885,818,431,828,
219,821,035,955,424,185,253,675,745,370,583,648,610,432,313,712,818,316,161,
585,537,293,211,133,818,924,078,454,293,132,294,741,159,338,475,146,608,500,
454,245,206,944,193,302,754,831,390,988,191,781,645,885,587,509,272,657,279,
846,305,570,815,981,148,453,024,049,692,503,053,903,484,254,452,047,157,009,
524,340,687,820,479,584,290,931,523,755,439,111,050,989,954,643,819,364,914,
303,079,359,743,114,176,392,161,261,856,530,439,084,544,513,004,289,904,405,
358,437,299,582,188,496,747,312,652,046,132,827,565,582,651,142,571,290,339,
190,838,972,744,395,427,855,961,567,204,785,244,783,795,102,253,149,195,881,
539,150,095,478,345,919,559,967,687,413,329,763,945,835,442,008,571,236,390,
947,598,769,434,559,628,958,336,669,518,898,160,686,797,252,939,745,146,190,
776,536,057,243,146,089,932,552,846,255,773,075,355,168,006,523,805,198,455,
912,429,636,631,311,578,553,930,154,417,152,265,327,290,417,804,858,584,083,
249,664,439,595,241,159,466,007,646,121,914,451,330,508,634,823,853,422,013,
541,894,094,245,871,926,961,608,260,505,689,874,190,026,950,158,464,671,412,
477,006,772,373,575,807,171,829,339,107,679,285,302,256,482,739,561,051,174,
343,198,242,979,093,194,481,768,595,773,987,079,945,732,605,004,834,257,964,
391,920,358,065,909,070,617,822,124,424,356,260,702,599,534,407,705,908,772,
334,409,314,420,338,742,895,637,046,917,038,673,382,689,960,900,583,214,045,
554,737,349,678,673,663,000,875,075,587,029,763,160,469,709,974,157,907,784,
192,273,399,002,608,549,827,185,634,252,518,057,203,304,271,119,723,748,895,
294,524,443,082,883,232,758,108,432,034,461,956,764,514,737,695,492,647,512,
652,106,647,423,543,589,442,591,793,843,290,882,915,643,708,754,555,129,859,
629,270,557,945,206,125,234,976,637,650,083,921,491,016,992,051,283,039,690,
092,108,676,980,775,326,559,120,142,796,402,955,479,234,117,335,246,707,835,
719,513,072,324,447,116,852,438,826,218,286,445,166,836,707,618,590,950,447,
011,462,306,777,218,773,991,277,534,592,554,086,612,312,685,124,559,992,449,
652,244,206,507,799,352,015,211,192,400,126,402,626,347,154,980,737,757,511,
708,516,315,518,081,928,688,010,782,720,229,640,147,552,973,137,151,459,075,
596,924,271,459,931,777,620,626,394,434,128,286,538,974,751,996,348,956,099,
854,242,536,094,377,994,359,308,337,644,146,750,801,552,419,772,860,680,195,
135,278,697,247,433,659,481,740,567,148,977,410,970,876,318,700,417,582,208,
093,018,661,835,255,112,085,078,755,348,892,159,560,603,629,610,616,065,693,
623,081,521,211,240,301,676,265,297,723,966,747,725,796,375,319,880,462,314,
535,865,665,350,928,431,822,809,294,361,673,055,626,584,545,063,026,428,301,
581,442,794,992,576,588,401,030,255,826,722,498,817,468,779,210,232,335,325,
126,431,699,415,959,542,915,192,933,557,378,022,559,723,142,982,271,771,156,
795,606,680,569,211,900,878,878,754,313,672,936,589,363,822,974,025,072,003,
137,931,566,000,140,003,408,844,124,913,607,587,608,684,664,350,424,734,797,
692,624,018,845,804,050,236,766,220,291,485,094,799,135,176,463,521,618,655,
362,906,957,573,927,292,405,044,666,730,977,029,203,339,338,387,459,065,969,
968,976,338,525,090,782,088,376,796,758,488,404,548,744,090,412,338,975,050,
102,236,761,484,407,775,637,832,667,267,238,573,044,727,492,672,638,179,819,
069,937,385,613,582,629,869,465,119,409,913,860,151,824,070,665,516,516,253,
925,653,849,173,987,799,251,724,123,620,321,212,961,605,138,696,536,720,631,
528,819,082,447,445,021,953,953,908,539,213,361,746,406,491,577,316,935,495,
690,705,085,382,341,721,700,335,291,256,837,160,753,534,228,363,533,683,153,
519,143,586,974,866,972,145,632,425,380,316,762,004,193,157,627,274,133,979,
607,145,658,947,629,062,689,669,387,793,973,356,974,505,081,013,058,687,954,
007,478,952,633,325,614,900,484,292,088,384,915,739,031,226,572,690,466,564,
481,782,994,004,604,109,818,605,647,731,681,137,879,715,687,237,431,856,018,
814,529,131,017,622,585,248,887,099,131,855,393,047,200,442,928,832,462,117,
004,870,400,680,241,352,354,679,628,247,435,569,038,169,431,843,466,499,602,
347,383,755,410,954,877,120,347,519,925,120,819,724,283,264,558,929,551,814,
206,090,476,021,161,728,678,028,234,757,659,758,245,833,210,545,741,687,919,
651,233,310,586,507,361,195,360,668,653,162,070,036,496,494,366,233,121,091,
941,268,074,123,656,289,847,609,232,357,555,570,268,223,558,581,708,819,082,
990,361,394,427,798,591,820,450,073,541,002,000,750,045,518,097,525,062,412,
044,511,203,858,632,649,236,436,741,555,607,436,469,598,592,820,960,051,782,
956,180,270,479,682,941,126,363,902,028,592,868,066,439,375,976,838,826,302,
729,513,708,211,316,707,748,174,156,616,976,486,644,676,404,075,364,044,786,
802,758,916,482,013,998,176,410,164,817,181,129,454,109,838,622,833,377,428,
050,146,127,979,661,504,087,059,351,629,196,153,485,901,680,309,255,686,705,
307,663,513,279,274,009,019,043,299,772,891,954,263,304,353,743,911,236,049,
625,454,154,233,264,289,675,993,359,084,218,198,132,834,210,507,180,188,287,
276,994,922,856,586,305,234,431,658,095,281,587,809,430,144,832,138,875,787,
062,516,537,672,071,558,397,439,964,484,540,783,584,776,249,929,941,937,516,
803,313,990,134,646,039,176,902,139,348,320,705,203,137,588,946,566,821,902,
169,124,185,328,852,423,598,747,446,705,990,054,612,715,649,181,090,960,906,
098,222,613,431,643,705,308,533,270,259,265,362,143,239,245,375,209,139,829,
022,887,515,914,294,282,479,084,849,572,198,521,992,513,711,244,653,642,009,
728,409,135,581,299,895,895,305,271,136,032,547,641,879,674,200,683,076,457,
399,443,421,161,467,471,026,799,999,124,569,367,513,060,431,874,834,974,284,
572,975,596,186,406,450,818,848,617,265,067,298,870,094,982,214,710,772,324,
279,542,322,369,381,828,086,841,437,162,943,903,306,098,723,922,157,898,775,
055,852,215,883,253,776,582,877,817,912,393,569,531,767,684,734,691,259,208,
884,004,392,794,290,288,231,624,122,797,878,011,066,586,495,380,412,693,775,
456,853,558,370,404,251,504,399,049,611,233,840,810,706,707,983,733,784,913,
474,455,262,155,350,340,036,971,999,196,473,423,372,031,912,755,156,244,621,
398,945,172,822,151,347,418,867,077,594,887,250,153,897,222,104,480,043,538,
041,352,116,320,002,597,185,486,139,292,876,919,847,800,959,475,576,366,720,
221,022,078,295,760,525,318,542,876,322,786,139,647,549,485,721,636,771,171,
559,162,995,812,234,254,635,958,322,062,461,785,441,555,462,858,470,423,171,
998,364,584,332,230,620,988,799,996,932,703,404,862,349,388,989,387,016,156,
888,046,295,592,377,265,176,117,786,001,844,710,388,186,797,970,645,861,620,
038,055,642,355,297,469,145,408,981,300,378,964,694,791,165,480,970,075,118,
165,455,371,285,244,609,020,167,817,554,647,031,234,635,203,046,399,146,213,
695,806,422,954,548,092,796,095,902,157,770,875,464,417,590,608,426,175,832,
548,745,828,717,153,916,571,873,302,570,095,989,259,009,208,715,128,885,603,
774,917,730,005,003,253,950,032,117,600,046,365,892,024,049,535,162,951,980,
916,551,929,975,987,949,142,465,917,914,169,364,734,207,745,373,585,251,049,
861,533,376,780,156,970,892,630,001,205,513,468,940,247,353,004,967,968,642,
241,883,717,733,237,983,439,789,053,573,052,259,239,665,241,929,344,376,760,
917,704,854,893,134,827,614,917,517,183,543,934,461,035,227,281,456,057,379,
274,489,781,930,565,611,080,132,236,650,452,767,693,753,125,474,554,601,488,
189,296,978,767,876,375,342,844,176,261,106,949,350,935,864,861,833,205,755,
769,223,900,211,269,985,889,901,240,328,061,432,678,071,225,970,089,768,318,
656,884,689,637,966,576,964,683,506,671,704,669,674,027,925,013,106,368,140,
856,676,490,217,201,689,149,345,870,087,976,773,239,087,637,630,770,057,654,
700,413,196,859,996,117,754,277,103,867,241,245,831,617,889,876,507,861,323,
725,582,933,431,788,522,980,659,618,365,306,477,748,474,155,324,951,725,508,
056,678,360,384,480,645,385,320,556,195,212,847,418,948,564,826,014,150,089,
996,775,400,166,084,526,165,443,397,337,256,715,053,389,410,095,386,979,878,
729,603,621,635,992,003,820,356,603,140,359,705,513,668,977,437,303,296,569,
626,909,239,254,896,950,373,727,174,898,769,297,836,211,467,160,684,622,874,
363,332,154,229,077,047,463,305,362,153,861,016,391,441,785,212,810,820,451,
674,986,827,516,013,352,412,046,740,431,918,443,985,890,065,106,609,106,149,
572,847,139,864,644,975,128,830,548,857,450,748,661,713,763,563,310,827,553,
845,164,760,928,908,194,585,012,442,872,670,894,288,454,437,605,211,049,561,
125,730,025,076,500,901,018,088,662,164,552,521,159,690,269,210,816,763,465,
471,751,778,614,212,944,536,435,707,064,339,444,347,716,077,115,207,394,266,
845,259,782,222,397,504,326,042,445,180,837,729,462,069,309,242,352,020,161,
979,787,143,761,559,190,812,543,890,729,425,894,997,309,742,311,517,485,453,
695,779,828,549,901,411,660,019,027,473,438,713,442,406,325,927,682,434,915,
429,227,058,509,139,231,671,279,208,510,923,604,693,978,105,118,287,206,804,
022,744,425,022,688,642,895,809,717,400,992,308,221,601,702,792,455,659,753,
750,809,020,695,512,560,988,887,031,844,483,243,282,171,659,719,031,424,928,
709,999,859,983,176,284,709,515,247,381,444,210,347,581,691,681,303,420,740,
215,384,457,139,615,415,206,036,609,940,784,820,257,844,861,749,328,412,276,
627,462,518,702,748,183,131,704,655,875,944,076,126,843,288,281,059,212,322,
081,183,774,281,658,284,706,429,430,583,091,674,756,285,130,167,195,571,094,
214,093,383,927,987,617,783,220,435,341,238,513,717,268,758,711,054,446,352,
669,535,906,517,466,890,298,437,701,144,318,469,799,827,077,254,086,116,348,
626,861,357,656,435,129,814,650,737,759,396,434,568,652,072,024,607,450,565,
498,024,540,126,748,749,449,478,348,067,453,192,486,003,810,613,527,932,706,
290,965,298,515,627,961,663,435,250,546,615,372,184,470,848,192,890,933,049,
242,255,742,359,197,398,062,247,495,045,523,406,089,554,540,231,765,842,338,
929,345,084,234,961,013,644,134,963,780,714,507,014,029,299,123,751,700,060,
060,689,992,409,659,869,667,581,422,838,920,017,505,318,670,573,390,787,284,
941,559,673,795,239,310,666,879,213,474,040,923,496,122,939,364,978,908,990,
363,611,585,041,144,370,030,140,265,737,858,234,292,825,133,167,754,464,906,
639,628,457,988,639,942,243,120,942,339,906,282,029,743,069,066,278,682,237,
531,958,967,897,839,689,092,595,335,700,096,694,915,451,548,185,293,292,306,
143,339,874,117,064,074,505,613,020,046,867,989,163,182,371,203,698,626,137,
500,096,798,424,500,321,010,861,505,515,729,993,068,429,261,590,920,338,542,
218,326,759,518,078,927,343,264,589,614,435,419,748,684,813,141,051,270,385,
013,981,829,438,499,099,285,530,959,664,720,876,883,103,696,916,485,887,332,
350,136,434,377,231,962,551,898,054,201,487,669,657,765,519,148,558,344,286,
226,126,864,564,969,526,661,813,037,992,809,125,951,276,903,147,550,592,976,
566,142,982,393,993,482,687,668,312,104,256,178,094,844,728,787,587,612,785,
582,467,812,246,356,252,913,980,519,305,414,621,146,444,048,748,905,560,831,
582,292,439,503,559,368,231,653,569,029,843,440,232,728,253,876,650,421,931,
099,079,304,005,956,803,618,017,192,188,549,982,360,138,158,523,973,897,513,
787,620,489,354,236,459,788,282,307,246,599,724,446,439,135,876,404,721,276,
716,280,668,279,175,855,088,665,243,374,476,233,704,185,625,123,185,713,852,
073,531,677,625,398,447,429,869,169,236,294,532,108,826,748,524,105,922,279,
155,002,476,993,970,561,539,446,336,561,810,001,001,137,098,194,984,232,190,
528,016,690,461,016,097,396,340,033,494,235,794,093,917,995,688,672,431,358,
562,553,189,735,006,821,909,508,246,025,684,023,382,472,071,937,076,052,488,
583,180,367,839,576,900,056,236,950,752,410,320,146,647,180,272,485,582,338,
024,896,705,916,414,026,818,898,181,687,482,797,067,528,684,426,671,249,038,
580,865,066,947,707,729,179,918,958,704,723,313,808,718,008,637,146,757,347,
444,925,746,154,605,807,842,953,348,824,196,456,323,881,688,417,727,794,794,
936,735,584,327,459,043,940,513,239,736,963,467,444,693,424,382,832,347,181,
757,312,087,904,194,394,440,499,705,744,812,141,249,461,454,670,491,587,429,
931,275,352,568,376,373,787,917,760,117,188,332,745,307,821,631,307,048,021,
426,637,124,762,419,642,015,761,886,999,951,547,136,669,165,412,347,803,819,
313,758,424,192,023,740,836,903,413,051,796,160,581,236,483,227,982,961,062,
862,028,761,413,448,037,229,067,908,904,075,901,044,661,377,264,728,188,189,
994,514,097,193,461,366,651,827,763,008,756,153,454,162,046,339,140,618,047,
668,664,409,809,457,343,617,862,297,766,477,839,296,630,758,932,510,440,222,
185,983,778,208,652,387,343,745,725,396,689,518,521,770,430,053,208,901,398,
027,194,533,365,135,613,132,981,842,422,088,903,759,171,898,397,784,853,353,
753,214,426,942,872,532,918,640,588,717,358,982,449,631,822,475,028,891,854,
311,844,618,014,108,320,074,936,061,573,878,575,631,730,696,338,863,867,743,
513,597,614,869,698,698,914,368,329,062,804,149,785,652,132,161,200,649,092,
215,004,747,177,600,620,165,211,685,013,729,537,844,076,053,733,244,299,341,
444,473,187,798,145,266,109,615,978,040,292,075,342,907,506,230,715,770,443,
040,553,816,354,901,665,049,906,836,287,562,623,695,738,511,405,867,050,066,
600,731,994,580,938,095,667,945,973,438,144,368,517,248,705,950,208,205,302,
891,646,186,751,185,712,849,659,602,590,697,409,947,761,566,166,831,211,890,
977,489,278,471,426,617,156,655,340,338,654,106,824,520,864,749,931,682,831,
424,924,571,844,159,072,079,857,368,055,295,554,014,456,312,858,519,093,367,
924,135,923,062,095,104,458,516,412,751,510,470,660,338,409,019,223,005,900,
845,739,238,730,355,004,941,941,280,635,726,878,428,295,629,478,972,422,055,
065,346,344,520,543,465,319,116,464,950,052,955,567,215,912,046,428,329,494,
082,124,361,536,247,519,309,893,644,276,308,237,144,065,540,880,355,411,224,
518,306,577,706,815,812,401,613,091,249,620,875,170,306,126,569,809,208,710,
193,595,683,847,403,249,791,789,658,463,463,963,410,567,338,726,952,893,953,
195,127,441,583,402,368,412,975,662,135,974,361,399,294,585,808,477,483,588,
238,994,745,071,678,423,028,607,197,111,386,951,946,498,681,144,231,230,109,
208,686,258,256,247,237,471,462,243,790,745,680,624,887,308,346,585,264,810,
699,744,907,219,121,693,854,278,385,107,522,526,462,806,507,487,588,586,715,
804,688,996,304,629,114,687,031,224,629,525,668,049,837,763,589,693,825,044,
997,474,476,316,001,198,568,267,535,428,252,599,836,811,684,313,387,432,209,
992,330,227,547,830,495,204,414,147,533,308,766,791,128,582,684,709,881,869,
697,902,004,121,174,954,652,084,585,997,955,090,408,321,348,099,710,077,089,
041,959,926,365,002,469,110,623,803,356,477,067,884,701,163,015,042,004,264,
907,459,803,125,524,163,270,398,575,690,418,551,324,868,504,435,723,189,826,
068,867,085,943,136,607,697,222,592,567,434,367,513,495,816,384,390,020,452,
864,895,275,467,288,622,814,079,825,721,066,003,423,536,163,606,494,869,400,
239,048,743,389,251,384,650,132,623,477,330,769,096,196,316,517,873,747,719,
838,915,835,613,415,623,395,499,920,574,817,244,157,232,861,210,112,390,169,
043,244,772,007,584,875,604,241,723,474,067,169,515,287,416,061,945,282,101,
129,578,681,370,274,972,633,899,927,443,758,325,322,289,435,535,034,203,555,
591,765,722,456,836,527,481,840,594,864,236,694,426,457,381,638,114,309,491,
063,350,606,543,067,598,328,176,593,167,430,985,544,059,638,485,370,468,562,
270,449,796,989,776,237,703,059,867,207,371,368,390,940,974,300,379,817,539,
452,137,173,586,792,988,332,595,939,653,678,106,057,305,648,946,902,151,323,
112,780,186,897,609,838,544,393,777,765,130,075,663,046,372,102,996,632,259,
987,017,195,846,972,757,883,057,882,089,900,468,284,042,966,315,753,702,075,
415,697,111,335,113,699,080,489,874,603,922,195,828,947,733,497,285,078,046,
699,118,465,605,454,650,892,520,133,958,523,417,508,814,383,105,952,576,395,
157,756,314,290,833,938,932,310,694,343,076,621,081,363,033,160,602,103,608,
790,170,507,348,166,134,426,407,257,897,815,627,525,098,079,606,688,354,606,
200,837,019,614,369,560,367,044,904,452,000,813,195,511,870,307,489,510,966,
955,550,152,481,353,627,706,511,134,073,348,366,920,032,427,311,948,947,422,
688,733,577,423,993,634,337,783,229,954,795,761,317,753,807,683,127,823,239,
702,439,719,462,833,416,962,183,051,238,875,994,123,503,205,399,217,001,216,
382,005,951,266,725,599,236,782,630,463,468,294,985,680,832,692,881,605,995,
304,220,517,224,634,485,063,473,927,987,750,024,349,100,943,953,741,404,247,
508,061,332,302,612,518,061,904,719,398,762,579,048,393,040,903,447,393,411,
686,007,569,646,936,535,609,616,536,856,105,756,121,037,505,063,269,002,719,
219,753,757,656,617,488,013,970,704,726,879,736,557,703,851,713,473,885,641,
920,990,051,791,077,286,069,586,696,611,440,683,646,715,121,113,059,952,484,
870,870,283,383,294,280,824,325,113,132,325,218,263,004,999,443,836,556,828,
977,199,620,257,497,904,828,987,373,310,471,758,411,950,071,231,970,849,694,
443,473,202,924,332,739,723,204,301,582,459,144,417,178,213,186,594,945,787,
730,506,764,360,736,569,912,772,845,309,078,844,371,715,491,291,418,979,331,
706,685,278,922,322,571,190,681,474,503,320,751,059,413,629,442,906,714,444,
837,346,737,117,159,004,315,350,458,713,220,121,723,575,086,955,763,014,295,
374,273,723,862,815,974,478,595,787,828,881,558,741,551,295,589,866,897,892,
325,335,464,763,378,276,483,648,553,511,037,179,370,388,139,484,741,458,736,
064,209,676,624,793,986,034,020,418,588,984,564,986,179,704,429,233,030,131,
510,902,920,759,032,774,733,592,607,998,768,031,324,123,440,675,330,466,545,
435,009,543,627,076,518,347,867,118,072,139,910,065,037,001,637,416,529,883,
117,853,251,869,885,197,537,501,052,058,662,256,334,653,642,085,891,732,250,
806,728,773,355,536,980,436,109,432,884,607,990,604,079,389,437,439,006,704,
651,109,480,528,723,618,593,857,956,593,810,823,446,986,418,139,366,104,297,
208,340,406,940,263,755,433,371,494,570,608,092,800,606,108,154,105,956,502,
638,508,611,164,649,862,742,605,430,862,752,633,624,302,679,063,496,792,003,
621,833,732,255,472,085,201,714,886,722,749,010,549,798,344,191,048,674,167,
822,408,548,577,816,275,684,078,252,961,789,691,509,269,604,435,453,157,553,
910,687,423,475,423,373,145,839,783,360,459,570,957,738,532,808,448,021,941,
977,214,740,600,958,547,247,371,165,871,311,023,512,835,538,967,391,537,353,
220,455,604,096,115,042,086,107,167,646,658,145,203,120,329,240,955,844,415,
721,727,758,720,525,154,882,122,898,899,189,021,637,821,578,563,110,336,259,
702,090,830,986,672,102,531,092,985,577,956,301,193,518,846,557,031,292,046,
172,097,945,636,264,740,827,885,305,818,707,378,349,432,472,377,532,450,535,
551,256,128,565,366,308,937,428,097,491,299,859,353,679,221,423,765,905,908,
096,423,869,119,730,575,345,895,017,143,116,703,917,912,131,011,077,453,161,
016,050,703,900,915,059,737,400,254,506,220,315,408,777,406,292,758,693,777,
265,238,755,071,216,737,399,779,249,210,051,408,651,473,010,900,216,177,727,
847,850,567,624,261,822,823,421,583,612,263,817,096,934,485,386,123,958,364,
811,943,882,988,339,717,511,121,999,168,579,593,507,724,744,257,925,621,121,
059,785,233,324,167,757,480,550,628,766,387,684,047,668,935,818,965,540,931,
283,264,305,902,454,352,999,251,585,730,761,969,698,637,092,891,256,765,600,
280,431,454,393,013,149,486,225,269,961,803,219,812,157,921,285,690,459,008,
779,313,825,518,747,827,205,391,294,551,961,416,848,310,285,975,096,020,731,
473,883,498,835,545,695,444,958,067,232,241,355,036,074,753,019,346,588,706,
490,975,799,991,336,123,883,216,343,063,610,870,448,564,277,456,097,292,963,
904,495,702,023,871,294,771,486,285,592,508,544,828,690,506,844,477,263,459,
669,072,631,862,970,383,623,238,709,725,679,867,945,146,351,546,318,567,984,
131,869,784,052,475,824,134,069,896,955,263,827,612,262,978,484,056,244,901,
201,079,556,031,268,003,935,527,463,831,315,830,263,983,172,583,515,146,519,
931,585,939,993,113,998,262,102,668,176,336,756,351,674,214,542,184,341,456,
800,577,851,615,284,014,983,808,883,472,506,484,813,712,540,530,921,998,224,
295,313,587,017,163,725,126,418,771,300,434,509,106,688,066,363,387,584,124,
243,144,512,614,688,353,543,981,041,454,722,471,939,665,980,511,000,030,557,
393,967,257,384,109,424,095,995,491,612,295,573,300,849,724,369,389,787,743,
184,747,159,578,260,875,964,631,823,031,418,276,057,286,493,472,930,024,658,
863,946,881,503,455,055,511,807,886,514,897,451,156,550,361,650,861,332,419,
538,072,904,812,932,340,847,677,288,921,159,033,574,877,205,188,094,149,486,
023,069,097,524,529,423,360,543,501,058,664,175,311,392,464,145,616,875,213,
941,732,931,159,841,601,478,684,280,396,654,594,618,417,070,621,631,484,333,
868,523,685,745,585,096,390,996,049,149,324,005,152,079,357,007,209,414,432,
598,782,043,732,834,988,709,312,684,527,304,439,338,815,898,822,039,436,408,
555,725,047,308,435,848,247,642,636,380,460,462,001,912,974,400,674,925,741,
697,283,248,919,169,947,488,520,550,912,211,030,366,721,628,015,471,636,920,
563,356,583,765,986,792,952,670,262,350,778,085,108,411,856,960,692,047,705,
576,553,911,740,279,965,427,622,854,577,427,686,840,525,446,437,329,825,019,
346,977,855,731,200,598,523,741,975,213,987,818,942,340,266,689,552,493,538,
472,815,565,294,138,597,174,963,025,959,332,694,812,679,888,469,475,825,483,
011,936,360,063,953,630,669,787,091,178,579,534,639,787,360,353,125,918,054,
414,963,420,335,090,052,739,279,532,095,686,304,198,214,311,489,511,980,814,
975,542,704,075,355,820,165,665,011,252,514,582,115,193,471,674,148,872,242,
328,824,512,096,652,963,593,634,138,279,655,748,600,670,536,929,880,334,013,
436,608,041,141,831,752,802,935,525,306,370,074,277,308,878,077,158,307,980,
620,274,199,234,266,675,636,389,308,318,406,082,119,842,229,134,870,844,853,
825,760,988,741,408,093,150,425,783,492,783,025,122,749,422,723,184,785,237,
016,354,217,961,135,599,009,838,052,662,493,514,126,085,131,623,776,766,121,
469,462,780,962,533,879,713,589,003,207,812,586,899,717,392,946,812,050,890,
772,545,104,703,514,166,206,890,075,346,902,170,861,313,668,213,706,451,124,
699,824,886,877,379,999,515,285,603,130,375,090,734,850,865,063,076,639,523,
164,202,814,605,181,545,476,785,437,130,709,650,366,523,622,012,390,663,723,
308,154,686,127,069,880,344,264,428,869,790,075,684,430,285,679,712,088,069,
814,881,258,136,061,673,613,109,325,022,009,856,776,976,342,625,746,111,536,
504,446,333,629,208,549,988,483,464,230,367,752,338,576,408,737,233,839,041,
129,806,100,205,412,853,771,283,407,016,154,661,053,157,212,740,614,765,028,
441,286,864,929,504,726,409,194,757,224,490,619,918,594,183,268,134,960,867,
507,642,444,300,122,760,976,223,827,681,172,368,072,192,489,738,015,521,712,
147,737,657,227,364,857,370,121,350,963,495,399,257,168,405,011,079,834,777,
431,723,070,110,722,261,574,804,754,183,974,577,265,827,544,187,060,320,508,
612,477,823,056,409,293,025,681,403,655,087,029,905,433,338,813,069,553,577,
776,491,775,606,746,575,194,832,696,169,373,451,974,139,374,234,117,496,193,
086,940,085,502,840,220,068,844,409,140,084,595,908,515,010,668,861,818,357,
909,655,706,214,246,605,674,674,764,032,754,013,100,960,954,984,994,381,042,
417,051,914,691,618,656,392,495,584,835,372,635,164,986,660,113,250,421,397,
601,846,590,825,557,943,347,944,591,072,107,979,162,199,698,387,726,729,630,
563,818,135,791,005,877,771,068,704,569,908,718,248,511,036,416,287,094,233,
556,431,549,472,096,162,195,906,593,001,555,067,488,650,698,419,251,227,798,
491,887,409,888,371,102,214,591,308,533,046,422,212,121,801,626,721,561,633,
235,953,862,307,545,704,461,100,101,819,631,440,740,989,733,098,647,271,567,
533,457,070,571,344,080,296,904,023,722,658,602,653,799,522,154,341,645,383,
150,248,167,122,179,753,911,073,707,736,035,749,103,155,067,363,815,916,435,
009,858,660,429,258,720,123,136,953,860,619,193,080,571,627,888,448,464,885,
752,407,043,393,861,934,664,917,264,512,929,448,037,133,619,716,377,413,656,
435,502,243,956,708,924,119,688,838,539,642,501,859,401,043,205,108,473,192,
127,686,330,413,050,986,489,613,217,833,729,873,993,908,619,777,720,592,075,
237,707,905,179,706,544,148,208,214,462,144,266,631,108,919,718,747,854,824,
223,635,292,951,662,256,436,588,377,880,568,129,157,979,403,560,770,957,658,
513,246,971,418,104,104,403,389,838,793,214,733,906,366,659,097,856,973,357,
184,763,074,158,007,357,726,398,459,548,423,006,201,023,385,869,098,270,161,
059,958,922,777,993,057,729,380,355,488,374,359,786,772,685,269,653,208,672,
808,367,428,872,489,653,643,870,605,633,919,377,684,454,284,285,322,732,680,
341,608,769,259,223,820,068,996,280,354,242,117,413,921,781,082,668,308,281,
456,297,080,062,248,818,750,914,646,327,699,631,494,226,536,580,822,305,020,
608,813,766,763,618,619,555,163,869,139,766,980,454,441,228,877,250,368,727,
615,995,465,710,324,123,184,452,825,105,426,371,539,477,227,655,418,816,100,
120,617,678,254,616,779,828,962,975,107,710,050,424,842,651,850,727,591,020,
329,772,008,144,718,753,797,884,777,355,449,448,578,611,337,373,817,573,952,
885,146,477,508,380,672,076,827,327,583,996,263,725,418,728,850,712,369,339,
496,611,815,188,461,846,952,982,126,885,031,276,277,993,627,900,419,980,678,
172,234,895,630,670,982,205,799,999,574,325,430,078,019,459,413,769,735,159,
840,500,701,069,952,523,735,789,477,871,033,024,029,602,227,100,485,045,939,
991,331,896,682,310,873,848,700,810,288,754,376,512,188,504,311,054,029,349,
896,020,090,157,814,741,007,429,957,361,097,058,727,643,561,012,932,455,676,
875,126,503,542,198,814,440,865,258,577,691,830,728,462,589,934,213,127,118,
790,269,293,229,784,216,468,293,534,608,542,575,849,409,691,179,808,845,397,
318,052,274,976,065,566,263,551,735,099,263,881,040,221,006,234,501,042,104,
176,972,651,353,387,177,974,093,589,158,173,713,995,873,463,514,272,474,725,
958,677,113,004,215,034,892,190,572,222,993,838,066,308,439,074,656,881,831,
189,877,151,665,139,109,306,082,407,804,132,734,369,615,704,949,332,997,714,
884,707,674,289,809,350,283,582,587,294,977,972,356,548,628,221,135,454,221,
275,061,169,057,376,926,720,637,074,657,503,912,298,020,319,436,493,310,837,
306,916,874,517,684,305,273,370,001,881,786,230,737,587,546,293,453,737,607,
149,939,556,219,932,425,285,128,338,681,564,600,132,614,793,062,129,765,929,
480,474,824,841,223,351,321,730,398,104,670,108,371,448,888,087,134,494,496,
747,466,751,024,774,393,072,851,016,187,317,238,162,340,970,532,613,227,224,
985,184,477,922,730,100,269,392,657,290,174,127,508,473,864,720,268,369,444,
246,218,583,507,881,605,549,666,363,513,588,169,235,367,393,865,113,765,656,
677,704,276,132,352,389,406,919,921,800,280,604,749,811,001,417,957,545,130,
054,170,642,612,948,073,350,664,177,159,681,944,683,285,106,866,363,160,980,
620,599,866,842,730,700,375,525,698,730,704,938,079,269,204,935,005,728,643,
572,712,827,990,661,681,368,582,447,657,998,120,160,888,962,467,774,082,559,
079,861,005,714,590,964,707,621,265,485,653,603,744,805,607,732,941,048,903,
765,156,769,961,895,484,334,762,466,443,779,440,461,324,876,653,489,110,177,
660,793,107,127,509,225,917,525,490,324,557,940,412,287,876,535,026,339,584,
020,982,074,514,207,241,902,580,451,578,458,020,668,447,714,045,070,365,421,
293,679,762,268,389,872,895,966,892,117,323,418,188,098,232,121,455,675,031,
010,486,146,159,581,213,800,583,234,486,626,748,241,857,242,365,713,921,478,
693,185,600,533,585,576,259,880,259,794,024,121,635,581,011,308,306,415,429,
414,372,858,619,616,181,567,194,422,449,313,632,014,756,044,372,089,086,303,
289,142,761,948,938,077,415,750,111,948,328,386,290,326,219,598,255,699,103,
109,926,049,224,384,509,191,210,936,554,225,583,105,705,634,130,225,869,187,
580,825,384,259,913,081,489,882,301,645,820,630,535,026,606,921,669,838,666,
835,959,041,392,023,926,395,766,923,939,912,133,655,742,067,233,902,423,262,
388,256,338,425,570,753,179,469,178,729,686,381,847,349,875,207,945,095,166,
632,493,369,010,865,745,278,084,630,583,528,263,545,571,196,821,428,253,119,
019,350,534,615,079,036,779,220,251,760,099,270,740,562,517,335,322,091,561,
141,581,999,263,092,053,875,605,898,915,596,825,839,005,488,768,924,905,518,
265,472,485,774,776,255,389,948,554,984,055,078,955,186,339,127,326,716,019,
909,441,290,342,298,231,513,658,050,897,208,676,878,536,253,722,623,785,936,
537,247,942,722,009,642,120,739,085,419,071,447,854,491,259,638,174,265,163,
425,111,403,449,645,266,252,862,697,892,056,607,351,878,481,873,786,853,059,
565,971,072,083,330,648,482,230,624,416,699,062,802,045,186,346,420,430,445,
498,919,931,904,626,959,789,666,090,096,820,505,693,797,149,350,449,699,191,
220,812,348,034,783,957,463,585,319,549,653,140,719,023,806,935,609,435,529,
805,059,567,848,927,317,386,502,463,251,657,684,912,732,209,402,263,540,261,
460,437,862,671,566,309,263,393,234,136,101,170,121,240,941,065,221,070,056,
125,210,236,137,730,866,640,818,632,895,813,663,535,230,467,127,571,020,462,
707,807,734,702,326,670,603,688,791,965,458,933,463,021,592,035,597,735,065,
224,996,935,474,534,526,140,542,218,062,114,527,156,953,916,312,349,328,855,
535,288,250,319,471,947,372,123,110,286,446,448,294,523,816,944,862,666,737,
379,241,949,507,495,359,906,266,447,684,616,591,226,312,200,976,351,785,126,
583,030,201,229,164,088,352,357,748,719,693,929,654,446,339,052,415,871,333,
973,375,044,588,287,526,779,742,413,476,983,531,336,856,643,872,486,628,187,
652,572,733,994,432,058,109,315,833,738,178,934,365,916,833,525,456,050,335,
104,213,468,187,448,493,264,738,628,253,132,947,648,502,948,627,222,047,323,
639,688,004,513,879,333,892,032,439,162,595,445,967,318,474,984,576,298,212,
551,506,019,755,749,045,473,034,830,054,406,881,961,560,553,156,130,841,422,
970,098,531,959,367,449,531,048,169,047,462,152,577,092,329,858,442,198,614,
559,754,495,157,897,408,939,757,934,443,667,693,020,452,831,897,336,365,771,
612,294,678,779,775,877,691,091,690,009,689,350,471,880,080,131,697,509,485,
916,898,592,976,823,078,605,837,072,499,942,715,197,626,304,886,123,101,592,
357,685,758,065,405,659,511,647,553,901,331,819,385,405,717,562,956,852,070,
330,793,164,998,980,791,224,754,071,176,203,912,773,642,594,705,905,423,659,
436,313,771,302,619,722,383,722,792,750,954,953,186,710,283,642,269,220,528,
073,858,519,916,652,372,536,429,435,701,829,167,792,357,212,314,147,281,445,
621,541,945,900,209,193,381,548,752,839,445,876,958,084,917,221,347,654,909,
863,343,831,619,143,764,353,137,634,932,249,537,104,844,813,690,576,893,142,
672,964,343,551,196,187,363,854,782,362,138,642,302,952,656,860,621,504,316,
259,659,441,022,333,567,427,563,297,990,249,713,324,693,420,417,241,912,502,
004,793,675,658,343,509,660,067,580,283,382,492,491,017,892,844,210,638,178,
965,787,906,415,614,453,542,790,775,277,704,207,994,378,095,267,622,223,319,
899,079,762,874,459,157,178,533,968,657,531,258,362,584,706,604,781,522,088,
128,119,392,942,076,092,451,120,814,492,047,860,874,594,140,411,783,625,196,
509,322,629,272,682,474,949,963,158,959,207,550,082,932,292,427,628,744,497,
324,137,358,171,215,919,939,971,537,914,938,632,865,636,794,164,749,719,791,
433,907,769,592,116,766,313,744,155,979,971,543,388,796,596,966,789,871,127,
546,529,528,641,857,401,009,265,465,598,397,515,385,337,891,374,629,568,472,
007,992,653,318,424,190,490,968,403,928,423,475,075,686,563,392,750,548,614,
211,906,508,831,904,388,889,876,105,174,011,237,141,091,720,509,759,169,307,
185,302,506,592,514,849,653,687,657,162,545,389,748,190,909,449,921,644,066,
704,457,410,515,374,081,389,113,096,668,280,829,018,219,200,413,986,537,052,
009,827,974,042,889,603,428,683,073,143,516,105,761,759,540,270,430,008,149,
562,409,072,642,218,998,833,162,612,331,885,536,644,859,094,813,065,614,848,
184,950,882,392,092,832,656,866,141,238,893,532,895,841,644,966,891,664,319,
441,316,872,715,605,837,936,334,933,795,847,747,620,284,568,559,025,752,426,
394,902,880,189,596,183,202,609,526,345,546,403,432,722,705,156,354,817,475,
737,523,167,288,779,714,340,397,106,009,272,340,154,650,987,578,387,636,312,
944,313,259,322,207,735,830,974,362,156,542,272,238,238,749,453,008,332,369,
764,792,686,249,740,092,226,172,072,202,555,872,113,997,088,044,160,263,421,
027,124,291,623,735,521,406,002,889,874,014,706,941,499,211,018,579,157,281,
105,707,449,960,141,391,237,461,730,265,953,932,329,617,416,263,286,234,993,
095,451,694,446,932,067,322,142,616,445,678,207,157,338,036,886,051,692,256,
946,508,296,216,815,227,067,197,069,150,465,269,891,809,113,059,912,625,116,
516,451,361,407,810,483,518,057,432,389,318,985,875,990,853,203,299,953,505,
615,078,764,097,306,869,330,606,508,095,703,621,919,338,757,090,764,255,678,
752,779,895,649,788,432,425,605,398,663,809,304,286,399,669,616,855,343,156,
693,049,636,524,082,418,287,857,751,577,528,632,806,620,192,518,082,769,057,
453,226,783,789,973,952,624,766,917,080,805,108,995,201,221,940,222,296,875,
914,895,137,899,390,391,616,970,312,914,425,065,081,208,099,249,141,560,272,
956,469,928,260,470,210,052,291,277,351,151,196,074,891,063,768,902,189,945,
799,312,171,366,060,174,594,903,844,981,254,728,715,059,560,298,206,846,389,
037,508,508,174,604,807,888,621,116,814,959,516,792,572,602,473,935,195,303,
930,886,801,915,194,205,659,749,308,544,225,174,380,479,489,437,134,399,130,
190,444,350,541,598,645,819,080,216,591,622,074,958,225,271,746,270,454,878,
113,483,582,331,260,766,609,136,137,002,887,529,302,976,545,617,779,354,775,
597,268,558,527,561,816,110,486,606,577,220,617,929,820,073,438,589,099,229,
466,873,196,232,145,582,131,397,471,105,953,725,030,108,712,737,867,782,934,
622,356,078,063,883,319,023,786,616,108,131,806,031,769,935,690,042,352,768,
935,651,124,334,272,270,814,441,489,069,526,906,568,848,023,363,012,470,423,
791,072,988,490,830,735,920,828,744,485,033,737,650,628,773,033,443,065,021,
111,759,898,703,218,390,414,816,345,711,605,185,718,855,306,169,561,141,331,
263,361,310,266,414,781,915,917,367,649,142,370,984,870,079,551,439,776,451,
709,428,530,743,491,473,180,486,179,421,070,237,742,867,794,205,232,152,109,
174,913,298,739,216,370,291,807,584,281,263,346,816,680,524,379,309,519,068,
024,087,951,263,789,931,027,959,112,176,949,252,442,703,531,263,075,657,322,
451,087,627,111,163,919,203,379,478,457,596,557,297,246,265,927,665,226,089,
674,938,781,285,017,847,821,498,589,732,852,734,568,482,360,852,870,766,466,
936,285,470,656,427,093,648,097,883,205,016,103,775,142,488,484,650,572,025,
816,070,978,754,402,577,376,554,325,643,150,290,618,641,192,529,522,595,168,
094,055,133,271,848,617,706,718,687,548,557,617,104,916,689,068,961,162,763,
839,777,224,135,740,453,911,837,095,996,629,559,622,985,663,111,008,959,106,
776,444,702,246,726,513,812,270,639,279,360,953,890,251,986,511,105,747,700,
081,293,167,659,991,345,732,370,389,089,742,389,646,537,628,521,600,150,730,
514,684,351,563,714,754,351,955,051,839,759,316,931,464,897,557,139,295,267,
126,078,134,758,915,574,152,798,022,143,400,367,524,568,141,517,728,891,292,
060,089,356,284,801,382,868,885,559,227,270,375,734,496,862,287,627,023,353,
618,216,163,684,189,384,211,442,272,633,136,930,760,674,381,449,583,903,466,
061,030,054,926,710,343,435,422,402,387,094,931,122,050,661,615,081,642,877,
381,779,412,388,768,076,046,863,436,037,873,684,963,515,275,593,755,829,994,
299,190,620,253,420,465,666,005,596,159,094,136,424,229,018,817,752,834,059,
842,891,263,070,625,883,062,965,968,352,338,565,368,899,189,711,381,594,700,
485,757,343,526,066,936,841,656,663,740,611,910,606,486,772,333,663,751,671,
935,631,092,599,746,879,763,706,350,678,036,798,927,531,055,214,409,477,287,
975,609,681,968,591,377,665,974,928,258,031,892,666,601,335,725,230,733,558,
265,714,115,803,331,699,439,180,888,148,756,865,735,587,055,485,526,287,740,
938,725,482,963,748,826,971,460,206,920,819,828,070,258,161,656,872,513,037,
279,206,567,998,998,397,768,468,548,582,776,944,688,640,538,085,807,801,373,
400,292,357,892,212,911,284,414,668,436,854,716,397,353,413,657,311,578,137,
148,066,346,834,605,274,849,442,836,983,118,960,765,618,061,185,648,362,968,
462,662,850,180,345,246,705,393,157,019,419,411,540,039,379,320,587,536,015,
840,944,998,028,589,231,671,061,888,923,103,442,045,447,547,080,701,869,351,
801,720,318,254,797,182,343,497,424,589,741,231,700,873,216,104,750,026,596,
544,051,325,851,720,321,868,403,430,500,877,055,529,594,058,101,433,283,133,
157,464,441,688,895,111,457,098,854,612,971,489,385,113,726,047,566,019,704,
297,392,679,750,667,712,118,506,903,799,397,071,949,131,982,115,878,028,155,
302,911,694,779,751,029,813,609,685,344,514,365,577,850,934,515,361,479,182,
781,796,677,783,435,649,877,547,807,779,035,902,507,261,291,804,970,433,699,
429,064,260,238,169,581,847,499,760,951,157,459,262,494,931,105,362,871,808,
793,180,742,614,745,308,528,496,507,517,676,730,541,636,887,124,817,087,765,
599,222,633,735,744,919,236,789,410,347,875,891,220,802,078,330,640,722,460,
615,421,763,873,340,961,251,599,132,298,113,886,604,026,547,392,308,696,765,
823,641,415,499,408,670,118,829,874,279,926,915,560,707,549,744,345,667,368,
543,980,452,997,239,838,893,131,775,983,033,273,520,543,374,388,900,346,279,
354,849,103,227,386,931,861,298,005,970,544,392,266,003,206,086,739,108,895,
410,870,622,054,955,158,325,859,293,575,267,605,607,714,624,447,219,046,619,
392,214,803,167,068,958,656,734,829,422,881,197,418,838,716,515,609,079,340,
642,357,882,221,247,137,224,258,258,298,527,131,397,086,291,936,104,707,559,
878,237,272,764,783,406,354,302,422,930,999,997,517,697,131,644,298,833,109,
697,716,027,361,582,620,033,498,154,329,640,039,256,963,415,259,690,622,946,
265,053,146,118,773,187,604,834,563,576,941,310,064,854,568,810,810,651,721,
009,321,295,816,565,315,926,151,517,936,103,246,175,881,450,183,677,485,519,
220,092,452,501,532,227,684,659,222,962,844,918,976,085,873,065,280,396,467,
955,131,867,968,771,047,194,234,131,503,880,238,927,913,402,709,724,172,049,
321,196,167,462,764,286,590,519,171,355,439,702,839,123,504,076,027,586,916,
317,934,180,168,313,940,125,901,432,942,052,418,183,950,068,626,564,447,704,
215,769,418,565,281,134,710,754,305,098,819,021,255,637,691,637,683,422,960,
063,707,400,755,054,808,861,357,751,661,331,098,099,404,643,179,855,040,784,
582,385,431,890,224,236,837,041,789,638,942,116,656,147,513,335,968,019,112,
512,807,792,699,275,906,785,973,618,635,162,603,105,134,215,782,404,951,210,
470,049,388,584,559,489,508,337,612,482,756,056,804,413,937,935,847,637,967,
077,115,635,712,892,786,264,109,010,988,971,415,574,276,043,896,170,788,874,
422,797,437,289,439,275,980,989,794,125,671,905,249,873,842,693,252,927,909,
826,691,387,117,052,415,257,525,885,669,931,178,252,599,140,876,023,130,166,
952,856,800,359,346,069,949,316,127,089,281,363,675,265,925,209,805,876,928,
012,212,187,458,220,699,033,902,162,093,394,870,568,112,848,403,225,729,215,
941,355,457,899,628,125,324,955,569,920,427,478,309,492,653,088,211,810,221,
522,470,452,453,254,628,848,379,761,985,240,769,528,600,819,546,402,080,489,
973,450,599,927,819,783,352,471,206,075,844,427,975,753,069,967,892,037,645,
929,596,102,408,255,393,261,247,442,500,698,874,691,422,221,272,098,806,026,
614,749,715,737,190,652,994,546,579,807,891,195,101,642,477,071,863,506,562,
624,812,434,997,936,144,713,054,691,177,099,074,807,927,386,330,718,640,779,
607,065,478,587,002,586,625,730,627,562,160,409,752,732,475,431,239,719,151,
300,514,014,253,248,205,624,803,448,192,674,719,570,034,439,039,733,356,256,
118,784,638,928,603,331,019,958,043,504,070,209,702,946,818,923,683,115,720,
203,893,756,891,645,975,389,167,452,127,721,260,218,568,104,112,082,264,777,
260,718,265,741,167,189,143,306,691,294,460,252,141,014,193,903,111,217,006,
143,814,901,698,968,753,951,372,552,770,145,751,814,007,560,027,126,622,672,
850,637,538,220,691,372,583,231,073,931,893,210,210,654,825,343,081,593,973,
387,751,397,200,142,452,679,278,739,786,815,751,022,504,506,468,137,314,165,
635,433,718,517,733,218,141,830,504,850,349,974,932,226,869,050,015,298,557,
826,111,637,011,479,493,102,415,764,338,913,539,590,377,200,281,423,197,497,
841,501,019,373,904,463,954,057,036,207,471,118,015,885,207,421,958,163,281,
080,780,090,268,853,875,803,997,461,256,707,484,786,735,412,363,308,711,809,
792,839,244,112,020,253,508,278,832,636,338,101,134,680,740,896,236,759,549,
843,847,034,950,220,478,184,998,902,955,813,614,274,502,010,803,075,851,594,
110,686,376,045,964,567,484,286,733,598,740,817,524,930,318,382,871,507,819,
669,137,285,488,479,234,401,230,001,613,060,320,785,576,502,092,026,731,435,
591,455,583,631,226,933,918,541,729,984,780,635,448,493,986,657,331,455,271,
154,737,107,911,246,942,249,764,373,691,155,628,455,261,157,617,366,017,839,
120,984,952,782,876,027,550,758,442,599,536,302,022,138,791,557,337,172,342,
965,636,493,352,157,513,277,629,709,608,850,931,495,988,457,904,987,490,769,
623,018,739,096,719,121,375,208,987,135,590,244,792,041,351,973,538,749,510,
744,557,944,792,414,989,599,289,090,401,717,403,455,488,272,952,726,887,849,
119,105,003,555,864,137,645,472,612,008,971,217,009,398,636,632,994,842,679,
518,273,475,622,060,583,238,293,217,256,249,702,080,144,713,192,352,326,023,
303,633,613,476,266,600,596,702,544,788,333,878,582,108,438,711,734,992,827,
778,553,661,302,030,378,470,835,126,181,668,853,182,678,818,446,747,884,121,
270,745,134,041,589,783,059,597,777,606,320,678,475,815,645,479,612,364,052,
564,788,271,038,481,818,945,177,405,651,125,076,517,929,421,514,472,742,019,
849,304,094,426,306,852,847,751,869,521,826,243,775,831,598,359,026,586,613,
067,790,770,644,685,729,328,148,185,000,729,869,888,342,637,747,391,474,623,
471,506,243,150,082,368,779,601,197,759,776,632,577,518,850,381,394,092,120,
212,194,212,297,975,403,091,323,840,204,496,589,067,592,334,743,579,403,858,
721,309,818,923,958,365,115,381,778,037,617,952,335,308,721,780,671,053,208,
140,124,725,084,994,624,585,879,485,326,848,004,853,083,029,232,392,960,117,
165,967,170,026,563,096,543,617,569,536,776,545,084,441,538,470,486,579,386,
542,133,965,078,238,218,361,156,734,998,875,059,824,752,213,918,246,029,821,
607,758,801,044,819,844,778,634,529,141,931,627,688,491,350,737,982,953,006,
186,616,361,700,997,860,742,025,134,682,552,394,409,571,771,690,336,406,923,
986,717,186,845,773,502,081,217,664,835,403,440,434,844,833,079,534,502,882,
637,188,027,094,339,658,796,827,704,909,293,409,651,068,894,054,161,044,695,
452,316,759,196,373,350,049,561,763,558,312,955,101,220,542,999,587,016,117,
213,728,246,927,860,573,129,984,797,340,171,432,944,628,102,734,365,680,181,
853,531,001,334,701,746,321,510,321,384,649,389,435,893,112,851,825,900,814,
362,460,204,715,575,904,479,758,740,878,347,541,625,079,669,503,972,496,860,
903,148,179,061,349,561,625,114,693,618,452,230,001,045,902,453,434,046,627,
458,848,825,878,404,125,944,448,671,263,678,822,411,688,730,574,606,238,304,
414,184,973,870,541,012,466,088,527,332,595,019,328,663,495,195,675,227,846,
749,349,334,194,678,855,588,559,936,582,383,886,995,745,991,666,024,193,040,
417,630,060,992,563,574,522,841,839,520,695,800,846,938,161,405,124,450,536,
315,392,483,789,277,257,960,682,429,785,922,142,642,573,485,913,368,036,424,
490,923,478,250,360,890,033,405,189,697,678,349,859,809,447,008,716,250,375,
314,556,393,336,109,362,638,250,648,662,700,194,030,358,874,823,826,744,524,
448,498,828,583,653,172,826,688,864,137,167,848,092,803,122,340,086,520,891,
477,454,098,677,463,483,606,999,941,784,273,824,868,358,772,115,018,874,901,
344,039,642,815,669,936,485,732,817,582,135,509,412,389,519,926,343,793,930,
875,671,654,690,932,378,716,547,717,308,051,077,203,274,604,212,619,151,587,
034,574,375,836,466,952,115,729,531,252,895,702,599,733,435,979,423,020,802,
317,200,941,326,554,483,233,414,642,647,604,486,131,182,362,245,779,385,666,
150,296,151,050,342,302,220,146,619,603,913,034,843,386,771,561,398,698,012,
295,169,116,718,792,855,908,007,633,533,619,628,367,201,902,322,858,219,233,
121,130,260,460,724,002,849,220,695,591,901,258,764,712,872,912,919,000,187,
853,346,930,773,112,714,047,030,410,560,410,886,954,819,863,912,804,421,586,
821,882,825,854,813,293,829,423,501,653,349,734,899,604,963,235,411,653,666,
214,757,899,417,592,847,344,912,401,179,793,379,609,494,834,474,693,181,518,
433,250,169,755,352,854,912,292,474,403,132,029,036,345,314,670,401,443,488,
643,557,712,644,585,432,979,195,662,745,325,368,619,373,373,996,432,962,038,
351,339,649,940,356,686,111,042,243,530,087,676,462,911,295,923,187,145,924,
556,823,227,329,805,635,343,506,256,740,318,794,460,770,434,217,974,303,828,
992,660,891,223,519,948,765,839,718,581,068,069,651,461,285,564,389,476,411,
593,917,571,203,589,775,279,608,296,284,311,280,118,722,497,576,696,352,514,
305,957,535,585,480,140,082,432,795,569,123,124,803,133,361,314,771,900,520,
533,257,765,640,092,392,708,683,818,601,237,163,649,150,004,787,970,434,099,
728,502,925,470,561,683,895,436,563,755,408,893,327,700,434,034,220,281,929,
840,621,140,202,298,942,790,221,320,179,610,923,016,698,544,338,614,199,187,
430,627,230,647,412,229,478,429,082,218,588,609,827,544,054,156,472,006,609,
270,144,797,767,520,967,325,620,649,413,466,975,427,719,139,959,020,185,936,
307,330,676,805,105,745,624,631,307,065,672,528,911,700,146,529,062,849,165,
140,660,235,846,320,146,758,512,861,660,504,427,033,923,770,959,163,362,587,
308,976,223,430,934,643,481,739,732,188,329,165,842,399,683,830,970,769,473,
291,305,564,562,305,055,815,877,595,557,163,344,767,600,558,722,438,419,860,
002,746,379,056,629,282,107,130,977,359,934,103,463,021,850,777,223,860,443,
316,400,489,199,390,733,800,540,850,978,279,767,800,281,573,901,341,245,080,
482,173,501,128,730,390,147,942,366,382,030,901,496,973,917,513,795,718,054,
944,608,311,371,996,053,834,201,849,288,087,951,535,505,093,410,952,197,398,
691,310,450,558,068,986,679,948,655,959,275,603,523,584,453,293,637,176,979,
515,503,055,457,266,013,725,209,113,213,269,790,560,230,633,934,484,777,951,
956,190,096,148,070,473,819,129,312,118,686,528,310,795,234,508,844,132,789,
234,090,104,443,779,659,104,503,553,165,487,780,726,935,232,464,002,044,381,
401,851,113,037,833,028,860,783,329,094,741,372,222,278,822,307,377,366,256,
666,858,308,840,741,776,862,040,373,244,051,452,609,577,264,857,334,939,778,
614,113,533,326,031,524,723,595,195,764,689,073,486,791,076,977,200,106,835,
460,058,151,509,230,002,853,976,288,472,578,226,471,231,726,287,794,276,425,
820,819,820,312,708,162,733,007,744,698,570,722,371,700,991,526,097,390,915,
994,892,063,636,706,566,354,940,418,365,159,939,141,454,702,986,999,822,457,
349,159,743,003,381,929,382,515,993,207,307,297,418,238,441,985,088,110,539,
404,476,234,991,648,663,942,345,611,426,123,458,598,353,743,954,966,392,471,
799,619,637,516,697,935,034,653,647,055,096,630,126,858,276,462,636,510,307,
117,519,881,602,303,964,131,580,355,007,804,776,307,131,221,416,489,311,832,
706,196,032,114,607,184,155,260,793,100,932,767,109,011,224,302,076,268,070,
063,458,811,926,681,832,938,139,773,991,855,974,077,102,927,286,504,642,331,
690,800,629,741,423,139,369,323,374,469,260,221,830,252,655,885,940,688,817,
575,664,296,067,334,622,845,483,881,245,160,046,414,111,964,583,385,582,077,
071,561,533,096,669,964,748,803,657,132,226,627,823,562,525,073,943,049,325,
635,407,915,489,831,968,111,567,137,322,490,487,727,271,799,310,329,778,163,
617,790,733,062,411,976,579,148,679,693,495,107,020,097,796,173,513,635,084,
112,672,924,608,162,019,396,503,963,926,905,211,501,102,704,851,757,841,527,
208,422,988,604,246,466,479,787,314,647,113,963,973,689,294,023,701,675,976,
412,900,631,286,645,935,240,623,917,913,889,990,815,669,575,708,288,211,633,
110,033,937,086,771,519,789,467,463,418,990,100,594,287,161,636,274,668,985,
276,035,579,085,065,424,921,155,225,164,484,738,270,570,285,609,272,466,233,
899,165,551,465,813,164,304,291,469,732,230,600,927,969,046,726,364,848,519,
085,248,583,590,701,200,625,288,916,885,405,069,511,220,167,438,051,344,713,
703,289,746,085,197,080,931,384,917,074,143,222,523,249,691,384,179,736,113,
856,931,504,219,955,792,019,476,685,946,978,112,129,674,166,022,553,547,128,
314,584,860,865,884,242,679,321,204,954,333,541,923,773,269,653,402,563,438,
516,502,744,546,611,585,533,782,203,587,611,784,860,946,038,519,546,429,205,
680,230,023,218,721,231,469,993,326,040,760,852,278,573,149,301,614,011,309,
208,304,378,554,223,443,733,906,613,506,027,360,908,626,330,122,234,824,992,
692,555,378,861,546,531,172,151,745,149,802,595,853,810,917,739,053,290,381,
595,949,259,605,888,463,167,100,564,753,124,895,699,990,303,975,360,540,890,
671,022,346,031,207,691,072,227,797,877,541,236,467,759,095,324,455,898,027,
532,315,644,338,967,094,599,064,295,183,670,931,110,667,409,506,234,586,895,
066,679,679,844,560,121,262,289,787,083,849,550,101,787,302,911,668,021,602,
926,082,281,038,569,614,953,135,304,432,438,655,549,013,801,626,714,746,674,
196,481,396,578,793,682,382,338,855,269,482,952,725,036,262,120,351,539,154,
655,915,994,671,194,929,129,755,661,308,455,634,290,259,427,492,370,219,565,
711,698,625,149,148,889,684,322,964,114,807,006,709,555,442,386,547,274,421,
853,512,767,278,604,093,484,905,250,317,828,987,243,545,702,130,388,684,407,
629,512,163,087,582,603,703,040,894,305,307,646,485,333,966,753,841,902,410,
095,858,376,383,346,231,909,762,077,194,679,946,785,989,619,496,061,853,065,
653,252,636,239,032,514,249,374,121,455,395,932,778,317,329,894,437,557,401,
748,325,877,832,333,238,618,853,205,493,248,937,076,511,833,368,860,649,959,
829,171,599,537,291,008,559,960,679,281,079,064,318,807,084,978,971,406,037,
248,339,805,472,211,855,165,615,646,410,718,510,618,912,369,792,716,336,621,
696,360,004,155,361,361,478,947,533,679,497,536,351,396,163,596,488,684,370,
453,558,082,106,627,550,327,069,046,527,662,130,051,147,038,807,802,230,478,
697,172,500,946,053,491,012,001,402,284,841,124,120,695,927,611,008,325,533,
804,077,518,059,252,917,787,303,914,252,798,629,044,269,530,508,230,632,546,
259,100,547,853,109,366,355,836,402,926,047,130,366,478,785,295,874,860,325,
179,042,181,674,969,426,101,551,532,764,609,500,457,518,159,376,962,212,434,
404,370,318,993,301,181,426,017,439,861,816,061,218,305,120,738,930,509,617,
872,507,275,765,463,498,102,499,816,003,105,496,602,379,243,622,207,114,891,
044,756,488,455,589,749,954,532,474,102,748,762,926,440,829,220,585,827,298,
603,439,716,977,018,854,263,964,030,332,505,690,951,753,608,860,347,102,827,
648,875,595,326,272,080,201,324,610,494,611,039,501,856,555,375,127,178,807,
388,331,993,966,844,443,522,526,466,241,817,331,094,758,168,738,284,347,903,
608,370,181,077,970,677,459,852,869,614,268,840,352,658,988,029,331,768,169,
178,536,523,422,799,734,917,089,160,271,607,360,389,352,485,593,716,596,383,
159,325,631,944,770,231,305,938,719,924,602,591,935,806,660,285,329,347,210,
163,465,742,914,016,443,166,853,936,919,487,276,297,860,940,204,644,385,538,
688,545,113,490,326,217,204,597,125,393,050,272,466,813,767,297,471,820,481,
084,633,526,570,961,122,512,845,473,852,005,687,171,388,256,098,231,222,117,
980,829,671,982,571,340,922,745,760,599,023,423,836,683,554,641,071,639,450,
777,000,327,461,072,990,003,523,944,843,008,788,946,381,941,951,458,503,035,
818,532,228,351,152,614,139,788,069,980,822,867,095,260,420,283,737,838,048,
425,264,791,136,337,505,515,237,508,677,604,564,669,420,049,583,502,790,328,
719,090,961,855,588,333,307,436,131,686,718,306,457,506,087,890,232,721,997,
381,526,097,555,106,647,004,234,284,167,620,697,793,729,179,325,206,148,751,
193,098,453,593,241,261,982,077,035,546,204,581,060,473,934,257,195,769,977,
970,386,377,084,729,457,468,418,488,763,399,943,049,824,972,880,368,333,739,
182,557,317,398,748,682,852,870,629,943,100,373,650,456,110,617,363,355,454,
247,547,461,732,288,551,883,461,890,879,296,004,867,057,172,062,837,125,236,
122,486,223,872,535,714,610,409,280,705,244,376,159,533,803,385,402,204,685,
280,420,541,296,914,196,631,924,791,124,845,566,035,024,689,491,882,354,151,
245,484,722,531,954,193,212,058,510,872,402,134,133,982,631,717,612,656,005,
560,173,986,626,981,509,442,756,320,629,320,128,010,185,805,967,093,766,497,
702,884,090,711,535,270,542,169,118,514,571,654,200,537,944,165,496,582,422,
686,989,415,627,215,044,182,015,697,542,170,975,793,397,815,673,731,435,494,
204,292,645,884,419,020,499,266,692,395,900,550,024,420,503,645,279,106,351,
573,532,120,752,226,440,179,530,996,744,414,988,406,944,976,368,476,818,310,
347,959,067,847,868,475,998,067,157,749,984,478,995,824,907,926,368,306,618,
356,860,513,461,605,651,246,216,128,307,270,596,842,383,165,117,201,742,089,
216,758,856,369,812,234,700,019,782,685,733,841,846,064,214,994,702,768,062,
773,224,976,731,425,709,859,891,878,274,968,588,417,757,786,913,302,000,966,
577,714,645,715,719,133,980,411,390,044,960,265,677,323,366,533,846,273,464,
021,732,652,052,367,723,047,663,394,061,330,255,891,709,088,631,164,416,358,
656,254,137,509,293,750,842,634,364,367,824,537,778,235,632,724,542,691,147,
599,507,608,704,430,826,711,917,724,955,497,344,501,731,695,399,802,715,826,
707,366,683,156,541,913,855,973,994,595,050,124,119,055,852,558,905,167,746,
225,315,582,692,038,785,142,493,991,214,346,654,889,283,504,783,290,272,146,
498,088,244,740,031,039,915,947,483,327,874,335,084,848,683,539,885,813,191,
340,613,957,952,821,789,279,080,182,708,695,621,609,433,356,170,303,543,881,
374,367,053,684,135,933,275,746,217,432,351,629,120,067,063,102,440,791,978,
515,690,325,380,064,862,904,698,760,360,260,592,598,317,240,918,150,051,702,
914,831,205,376,799,802,635,295,757,761,380,397,003,147,262,901,420,433,611,
684,170,160,502,439,618,840,791,333,530,074,180,388,249,262,405,492,478,806,
408,018,732,025,984,051,922,798,256,140,250,911,957,764,005,830,013,062,452,
120,282,424,250,965,130,736,997,629,258,360,576,322,779,859,763,541,134,522,
410,615,534,672,154,354,580,816,230,160,388,883,898,046,302,934,035,349,321,
574,710,389,953,730,842,560,255,773,059,077,057,823,449,074,268,182,444,030,
107,164,947,852,966,020,660,588,312,489,943,903,219,924,684,031,382,926,954,
742,778,738,172,177,591,345,930,753,247,777,445,191,111,438,055,166,707,222,
198,732,704,672,063,963,555,433,374,600,996,464,807,380,930,484,271,048,958,
229,605,702,582,852,794,383,297,274,584,162,904,621,204,378,177,293,539,836,
373,962,395,403,818,147,114,339,433,418,355,985,835,872,888,955,498,673,874,
642,059,383,746,989,902,019,522,542,938,989,657,615,854,029,396,694,723,337,
755,819,763,904,688,186,451,318,812,331,297,488,969,435,627,546,334,446,483,
055,944,656,128,613,205,409,463,091,587,481,637,065,746,454,955,779,266,364,
650,178,369,451,079,225,703,142,026,046,595,927,051,394,845,103,757,868,259,
957,499,080,014,827,828,560,992,783,188,811,102,360,480,789,982,481,693,600,
192,393,329,991,495,657,958,416,452,715,301,761,592,261,109,351,780,239,261,
468,913,791,733,452,891,470,549,852,051,325,567,675,338,794,911,717,023,617,
154,876,148,290,060,868,192,838,062,271,808,930,070,811,381,513,259,427,428,
576,380,376,635,545,426,819,156,758,482,212,590,219,629,669,224,987,368,633,
993,160,534,217,616,629,169,064,542,664,384,777,373,951,130,207,782,056,153,
073,711,131,654,483,417,833,379,779,637,968,801,827,396,967,649,944,535,935,
147,345,688,357,179,199,947,651,822,419,259,993,619,670,486,334,653,592,937,
167,093,877,784,405,780,312,998,557,383,913,589,679,963,462,077,840,050,310,
480,553,780,119,213,174,669,447,511,492,825,983,550,908,016,440,531,282,493,
826,677,672,769,830,252,609,623,469,597,342,253,233,250,103,670,044,816,836,
041,408,418,183,090,759,569,475,212,910,569,526,270,332,310,942,901,837,808,
344,524,410,085,438,994,964,126,705,225,604,359,350,504,007,318,013,397,188,
224,930,673,898,744,082,539,468,496,141,434,538,522,979,831,250,322,738,761,
560,621,109,304,958,918,574,474,858,950,993,275,002,774,306,023,181,244,604,
426,520,093,546,889,918,425,528,259,563,927,710,748,510,606,527,975,276,559,
101,366,363,856,934,080,921,857,655,958,258,915,982,098,318,938,339,325,107,
451,973,330,696,502,460,789,509,925,476,906,326,920,623,592,410,226,811,687,
983,722,585,690,962,461,635,101,608,561,076,713,193,628,844,687,585,098,498,
478,405,222,827,620,105,993,643,873,990,774,535,131,669,800,297,971,984,646,
729,294,425,578,723,334,741,881,801,549,844,643,372,086,116,858,056,380,398,
753,237,212,237,610,634,526,514,519,880,014,032,337,785,205,208,549,666,467,
779,129,732,815,398,055,240,190,350,662,129,077,316,962,512,393,115,889,232,
933,477,038,792,243,816,975,685,248,087,266,674,792,491,386,927,986,822,631,
033,018,534,415,610,841,655,155,831,655,212,403,621,627,836,306,191,355,622,
156,650,062,411,132,063,389,538,556,775,589,886,201,412,078,490,484,931,742,
354,270,568,633,493,218,907,254,172,811,498,502,579,157,572,754,931,488,621,
650,841,641,796,537,387,668,277,548,770,636,076,383,997,308,170,427,356,079,
605,420,342,252,561,964,694,421,236,267,402,655,097,755,212,560,259,432,829,
750,926,224,382,906,078,288,238,809,814,310,803,089,458,321,357,572,063,554,
335,549,395,010,841,867,215,814,040,145,620,000,275,870,973,707,208,530,663,
484,502,176,413,023,637,065,735,206,579,399,639,278,068,301,565,709,798,920,
512,602,013,831,957,724,914,290,548,850,261,604,520,220,983,080,241,975,203,
642,709,653,820,049,395,819,514,735,203,817,126,304,708,640,857,667,592,203,
222,102,297,490,895,797,605,054,966,793,369,567,573,456,812,005,723,298,745,
590,271,499,688,357,002,734,648,476,013,250,799,213,363,728,190,058,801,347,
682,082,801,753,464,202,916,891,404,379,579,513,627,481,346,855,503,894,517,
831,065,838,752,548,381,571,278,470,788,390,530,109,326,814,019,813,655,689,
130,660,069,463,606,554,616,669,952,819,577,678,076,469,056,821,870,284,373,
383,077,360,237,518,509,479,878,143,080,559,743,706,027,155,227,386,270,352,
809,706,405,922,040,971,391,771,693,826,979,245,710,322,849,274,977,262,437,
538,174,203,461,059,813,440,613,233,206,047,822,928,339,844,416,493,372,705,
909,785,298,464,912,489,757,781,730,823,465,451,015,573,595,070,295,190,895,
630,001,433,583,038,592,029,925,130,556,129,315,281,843,003,294,599,705,456,
070,473,742,670,170,071,138,855,675,630,397,229,102,433,899,844,079,406,633,
195,308,239,130,112,811,098,000,099,838,343,413,922,488,510,619,844,170,110,
893,798,027,255,142,104,187,657,299,005,804,755,211,731,706,179,931,151,359,
506,592,846,638,149,862,452,476,757,520,144,442,292,611,940,987,616,681,604,
251,113,247,668,806,919,021,378,198,309,377,259,147,102,056,166,523,218,520,
389,296,398,842,838,985,012,799,409,636,394,829,014,239,626,785,700,487,149,
177,982,433,442,403,730,370,023,388,253,237,890,958,418,819,159,776,755,448,
265,490,772,986,552,205,336,526,726,921,073,436,547,891,820,048,039,927,662,
677,036,277,572,858,595,082,684,197,184,026,695,191,448,309,665,627,396,769,
204,203,436,351,064,176,756,861,105,378,676,750,974,294,432,922,725,723,644,
941,488,362,799,433,847,747,026,995,739,991,948,811,379,109,776,998,036,146,
696,725,715,042,843,525,202,916,535,283,620,755,181,773,042,473,923,005,156,
868,552,436,637,034,848,369,764,163,257,596,161,642,809,886,681,741,110,605,
256,509,311,542,479,692,646,801,948,266,913,547,447,452,026,422,069,115,404,
358,056,109,078,402,780,866,860,678,692,465,104,031,021,917,330,734,543,934,
969,687,975,737,086,923,109,986,724,447,958,167,758,979,038,568,034,478,570,
039,051,392,508,233,872,646,882,889,152,482,098,342,651,116,227,989,364,190,
497,974,986,341,854,739,830,142,496,192,377,517,655,467,599,520,564,399,211,
586,240,056,623,023,670,170,476,133,204,083,559,471,239,027,606,017,645,405,
316,792,610,723,710,520,970,523,402,186,428,623,055,163,043,745,495,042,014,
112,623,011,782,798,518,096,571,059,587,158,752,806,548,136,045,044,323,409,
297,770,780,423,949,036,343,045,600,043,950,112,334,782,522,168,409,642,133,
138,940,989,752,628,112,043,143,735,981,279,926,722,122,813,544,791,050,894,
035,511,708,256,019,758,669,314,552,008,162,800,431,365,528,135,671,177,886,
850,748,001,922,512,192,706,731,692,484,209,516,041,085,248,344,619,895,307,
047,106,696,834,264,925,506,699,006,050,549,010,660,594,665,457,457,839,472,
736,784,021,776,892,912,001,708,650,596,993,617,340,837,812,802,698,550,775,
203,600,724,312,371,495,515,496,131,462,543,712,313,851,786,659,148,570,782,
396,646,521,987,430,443,191,922,196,146,786,542,175,741,965,047,706,323,130,
896,766,578,439,711,951,421,851,275,154,655,170,269,710,667,084,575,797,428,
914,315,253,989,947,250,406,514,000,081,256,017,446,146,261,569,805,747,075,
642,667,950,839,239,047,679,667,539,066,025,999,525,949,133,120,006,592,242,
865,003,016,926,962,176,336,586,573,644,266,481,659,697,757,286,753,134,845,
837,566,539,048,409,699,115,498,015,397,507,806,004,891,639,244,040,195,626,
190,437,858,746,531,636,917,733,382,403,506,843,998,501,666,348,887,463,220,
411,027,932,666,590,751,434,967,659,652,217,637,348,320,044,382,219,462,593,
748,355,857,076,356,210,065,444,920,343,285,155,794,829,521,903,408,513,026,
621,608,714,476,896,596,426,287,885,785,126,133,441,165,149,061,157,262,178,
307,174,464,704,098,601,510,711,967,294,873,385,213,408,092,711,940,474,321,
093,339,270,194,880,519,315,183,712,045,707,909,325,614,672,024,947,420,245,
365,336,823,150,900,349,888,011,568,015,458,689,528,560,388,745,689,020,895,
644,710,875,038,473,466,016,493,389,950,681,107,340,763,772,865,225,609,019,
140,897,572,573,584,675,001,764,633,309,610,705,051,210,104,908,687,949,029,
037,078,945,146,916,483,740,597,083,811,739,982,066,262,579,406,721,197,799,
671,326,850,553,514,873,868,774,453,338,624,440,262,738,468,164,701,023,952,
046,807,795,509,789,553,453,750,487,885,575,121,997,916,180,475,232,979,450,
063,159,565,666,362,201,812,358,642,842,966,048,327,333,054,858,905,587,526,
672,790,361,921,019,796,324,618,574,453,027,917,635,119,871,824,805,206,066,
035,252,121,075,869,523,913,273,659,941,773,349,630,428,207,601,263,304,619,
077,181,403,434,629,811,678,340,930,007,318,555,872,147,449,069,769,121,216,
018,211,275,913,282,758,108,610,217,764,241,902,775,564,274,047,795,056,270,
722,978,010,917,324,529,347,064,827,409,096,163,964,785,598,696,288,043,582,
011,239,490,181,956,478,219,765,998,648,361,303,389,329,239,349,484,417,915,
275,126,303,061,242,279,712,203,068,245,626,609,738,883,151,903,488,582,373,
095,993,775,821,844,351,694,449,441,596,525,199,427,912,448,905,173,508,097,
797,147,872,749,637,427,339,409,524,814,329,853,335,706,945,787,892,476,788,
423,379,440,300,683,767,493,688,084,802,213,831,419,700,439,468,262,355,261,
770,170,917,798,761,845,514,543,341,733,078,418,538,521,354,441,374,985,675,
850,262,003,130,809,899,135,773,422,565,830,373,037,560,368,450,279,858,169,
775,669,738,208,945,852,325,831,515,631,754,377,759,192,878,638,338,085,896,
434,868,188,560,769,609,454,225,115,784,313,375,254,209,203,215,296,095,746,
850,582,182,997,341,931,165,737,160,684,093,688,364,147,015,669,346,677,522,
201,388,336,058,338,366,083,235,506,765,144,264,569,006,941,215,538,625,836,
116,972,671,908,142,989,270,006,374,965,369,269,784,559,731,080,630,154,412,
396,916,926,720,572,710,599,964,567,149,601,722,338,083,994,440,457,070,465,
000,826,221,905,015,818,945,616,762,069,162,850,600,690,889,216,261,313,298,
649,327,653,424,466,474,606,383,884,021,308,240,590,291,575,711,373,781,218,
427,141,517,848,272,726,529,309,686,775,862,586,809,742,088,878,538,531,698,
040,348,660,732,026,013,529,073,214,517,538,230,524,457,677,225,096,666,146,
360,101,197,943,289,273,875,794,112,757,597,960,687,519,415,518,855,445,079,
486,422,433,796,593,221,653,864,590,390,813,671,302,858,832,142,637,131,900,
963,687,424,397,434,491,722,587,377,971,904,194,774,048,331,635,843,924,819,
569,707,154,462,665,971,485,063,600,245,676,823,394,797,629,756,978,389,106,
485,346,728,383,000,962,814,774,187,376,158,322,697,346,023,029,971,378,860,
537,141,602,632,657,080,105,348,777,268,397,950,422,190,367,344,819,237,740,
884,154,512,797,536,804,760,874,654,900,131,478,751,692,106,050,510,701,567,
167,846,108,280,284,431,114,091,065,153,571,910,709,657,982,279,411,637,540,
840,202,306,538,100,682,648,710,197,811,727,728,077,348,450,245,978,314,025,
956,300,625,725,875,074,953,625,930,955,172,984,018,739,203,554,467,985,034,
300,992,401,135,367,267,873,170,768,213,472,523,047,787,472,590,583,854,381,
983,347,874,534,764,476,013,617,273,316,376,823,127,893,709,420,194,965,287,
518,932,102,349,889,709,058,142,473,490,689,929,149,832,936,572,052,453,995,
082,044,303,380,966,084,899,788,797,397,729,149,885,376,192,884,193,856,346,
518,461,749,172,086,791,886,325,201,398,876,381,429,824,434,004,218,677,657,
385,645,079,049,637,573,977,007,523,054,336,734,637,768,431,984,862,212,049,
738,976,009,277,269,713,750,066,299,346,959,479,857,229,716,554,541,798,699,
125,726,490,220,458,690,303,465,030,813,826,349,332,175,465,319,523,729,400,
304,948,077,543,668,527,617,453,620,451,474,703,016,708,362,737,961,579,667,
597,523,199,335,415,668,207,843,400,538,646,577,825,938,777,293,229,576,555,
604,128,173,029,048,062,212,395,452,692,509,796,087,582,284,662,323,478,717,
616,909,145,672,066,231,520,041,669,249,992,438,140,811,059,326,671,074,715,
691,976,744,105,224,363,764,068,517,218,696,917,400,203,318,050,992,413,161,
612,517,617,335,366,410,548,832,174,910,993,629,941,753,627,865,878,524,334,
086,697,143,454,399,417,838,250,240,930,894,566,092,135,580,064,696,857,812,
310,040,637,996,900,560,495,637,403,297,390,163,192,222,038,901,701,304,100,
035,029,715,774,018,277,476,300,814,782,423,711,771,844,889,769,668,948,169,
932,633,497,121,254,235,219,372,443,258,216,902,389,316,648,952,106,864,132,
773,758,752,526,216,724,406,018,308,245,925,123,295,937,215,177,674,333,812,
984,236,039,122,781,154,451,358,290,192,335,395,797,563,213,590,978,964,106,
647,227,881,441,131,279,482,542,701,662,554,069,578,442,971,060,200,513,268,
850,574,546,606,089,889,264,772,525,377,907,636,878,671,795,578,739,085,086,
955,829,900,547,078,181,686,575,814,431,780,969,798,161,023,863,886,751,090,
078,737,479,791,009,967,818,328,018,492,737,451,284,837,447,784,008,974,868,
752,204,935,397,882,171,462,877,309,572,898,109,572,608,253,322,216,226,433,
329,466,656,429,908,531,064,920,316,279,794,362,634,464,049,673,685,079,912,
448,561,033,662,071,877,986,596,176,582,845,130,395,232,546,637,253,607,389,
281,146,561,113,168,860,028,179,989,683,048,613,745,567,830,301,521,163,684,
854,537,573,705,790,486,600,610,235,773,532,076,780,325,867,480,704,902,307,
506,561,228,610,414,117,626,212,647,212,114,921,410,669,389,637,917,612,380,
718,958,600,237,035,825,628,882,137,449,747,526,501,620,228,534,797,056,558,
205,408,790,748,228,319,563,098,407,425,618,787,013,957,942,556,214,623,868,
995,732,806,804,896,067,409,434,352,732,110,786,471,035,802,055,823,379,231,
101,018,776,668,170,757,377,983,544,421,064,548,724,634,849,303,413,172,897,
970,896,796,162,576,718,992,190,940,312,518,643,485,941,603,973,424,039,910,
442,714,230,531,845,917,174,251,779,748,084,578,428,736,883,695,009,218,554,
697,559,661,679,488,096,929,442,140,103,394,597,179,497,809,295,463,491,843,
462,079,450,085,021,445,836,140,288,830,489,920,281,603,280,284,225,642,165,
061,671,421,126,314,290,628,052,145,463,892,761,987,008,483,423,582,175,596,
700,611,026,372,344,988,429,083,491,698,171,469,524,361,640,583,685,974,905,
245,202,720,072,410,775,718,517,129,839,422,873,199,252,858,740,170,509,887,
676,391,749,337,907,379,953,929,446,050,057,691,823,128,531,305,028,494,105,
882,059,606,621,396,337,931,712,954,015,372,780,426,664,303,237,930,127,793,
460,331,024,280,571,419,910,153,995,612,007,114,340,741,544,650,082,955,276,
126,766,573,664,656,237,038,639,913,530,821,797,136,593,145,891,715,625,086,
217,415,082,086,182,079,408,198,231,648,965,157,690,165,029,880,422,702,569,
631,870,218,538,199,426,500,568,208,154,924,182,050,332,189,553,020,239,627,
007,191,337,507,935,970,136,481,801,584,170,761,889,159,469,617,147,652,330,
213,249,278,969,938,451,509,759,873,051,121,510,601,327,468,013,533,280,135,
753,720,142,675,767,771,852,879,945,880,767,950,516,865,334,672,992,835,904,
418,925,600,286,868,973,323,256,272,030,506,337,877,263,748,079,563,930,471,
969,830,976,363,762,493,730,964,173,072,960,539,303,112,697,262,358,548,164,
246,720,184,266,046,614,999,628,996,049,015,155,193,740,317,087,115,440,980,
738,179,300,974,250,520,817,126,937,327,250,860,652,469,121,328,333,615,211,
109,053,208,665,288,764,933,193,936,569,448,105,190,224,584,760,585,185,149,
098,794,882,939,171,953,496,831,014,692,590,529,258,364,163,004,278,273,819,
517,775,635,887,735,764,827,876,649,301,605,410,883,409,637,195,424,052,763,
122,815,029,238,825,533,123,302,666,861,219,854,916,760,432,072,159,085,107,
864,176,066,394,354,333,527,390,414,409,073,443,581,474,846,744,035,016,551,
336,735,976,016,557,345,137,858,980,191,173,987,771,240,279,679,786,831,903,
368,291,264,798,829,959,505,639,404,033,510,567,191,596,519,185,919,110,994,
234,216,848,870,059,740,085,531,251,435,486,241,085,288,499,421,946,084,107,
703,628,297,761,322,217,940,901,941,697,231,352,659,267,882,896,852,810,168,
740,298,603,593,660,680,076,433,534,909,176,941,721,166,521,649,690,335,027,
376,828,071,012,164,760,803,275,107,227,094,397,665,345,007,046,309,685,910,
073,397,022,266,752,177,835,630,721,836,518,406,286,674,717,594,572,042,876,
092,778,760,841,780,832,259,536,324,261,158,141,111,785,358,382,499,724,359,
226,792,389,365,915,464,012,805,614,092,055,179,412,602,676,586,051,843,989,
103,597,200,176,952,460,737,077,008,859,662,198,083,190,646,382,891,877,804,
190,170,726,662,712,570,806,602,520,784,770,843,181,247,377,253,359,118,637,
862,551,238,544,669,140,897,912,234,792,617,961,324,792,300,880,190,389,155,
882,226,717,423,343,517,304,969,742,172,953,437,047,407,912,529,396,448,029,
691,759,053,096,175,083,618,967,653,771,184,404,316,955,439,687,418,403,868,
971,132,196,016,855,320,764,316,359,704,722,870,375,043,805,360,992,977,260,
782,939,026,556,535,934,412,692,526,829,658,614,303,043,396,687,069,881,379,
088,981,745,403,651,166,452,559,118,527,125,054,835,941,574,593,273,164,350,
557,806,509,215,761,693,478,533,385,392,533,729,221,665,999,346,942,744,309,
800,896,352,525,920,873,046,159,696,975,766,394,384,645,211,600,809,184,922,
403,915,374,781,032,395,712,515,363,525,968,666,346,441,360,247,505,814,859,
782,127,557,548,926,673,399,119,055,924,210,819,893,946,738,967,341,602,612,
326,450,303,634,087,262,576,460,253,182,005,423,893,515,176,454,827,742,914,
630,382,540,905,476,009,913,765,324,673,591,029,054,472,176,293,554,922,955,
145,000,415,849,118,803,432,049,801,214,956,840,034,600,024,304,542,225,513,
665,488,168,574,544,119,086,379,010,201,849,347,017,175,718,336,805,393,151,
452,843,215,351,629,533,474,386,793,059,702,396,264,450,966,031,846,715,374,
125,176,601,038,376,021,384,322,732,062,820,694,309,997,005,130,342,174,131,
681,573,671,648,856,517,273,675,867,181,858,205,437,860,604,674,501,525,060,
891,745,302,480,537,365,959,024,711,805,981,997,373,944,553,307,746,928,571,
996,876,476,297,792,119,775,030,208,617,455,217,093,785,395,877,440,595,328,
484,020,914,878,868,062,896,018,558,415,654,794,263,468,707,169,059,657,896,
448,859,728,646,392,191,979,663,337,319,951,444,936,196,855,127,452,224,111,
711,819,864,052,052,236,823,102,348,968,611,478,683,747,543,680,954,092,586,
658,758,423,086,076,175,728,611,506,696,348,010,243,132,645,755,172,995,623,
350,258,519,677,518,812,862,865,389,977,041,385,398,631,579,666,336,062,310,
295,198,028,306,466,450,118,972,216,588,539,579,624,524,970,620,280,178,525,
509,338,559,736,596,782,084,271,815,154,221,106,210,368,838,345,768,124,248,
371,075,250,272,889,382,922,622,021,254,931,026,234,484,079,980,026,326,054,
258,988,697,818,045,492,642,499,104,276,534,539,785,195,325,696,436,505,933,
464,178,239,115,632,801,622,675,500,080,290,415,513,188,632,281,571,577,527,
771,200,720,336,057,834,526,761,740,536,075,270,453,378,179,694,031,053,253,
038,621,623,841,393,594,453,073,196,896,159,788,348,792,070,803,170,749,796,
041,506,723,364,302,058,622,697,297,302,039,198,902,586,042,950,900,855,978,
998,286,485,045,914,091,120,220,179,957,082,676,400,901,741,446,412,033,807,
583,756,456,882,628,151,365,524,685,839,909,757,625,029,933,284,259,633,183,
188,691,259,333,344,226,470,687,563,376,331,116,898,564,379,248,885,367,472,
196,140,830,696,814,240,518,169,662,488,913,234,851,603,648,397,165,062,380,
306,351,514,560,286,374,804,335,245,730,685,568,996,709,457,639,687,954,329,
595,741,127,652,759,841,886,213,786,605,537,212,123,846,263,570,988,093,505,
609,227,902,158,299,982,286,156,713,223,151,569,871,186,428,794,764,657,393,
906,883,398,861,125,271,057,148,352,994,364,251,477,098,576,351,449,968,423,
444,692,458,943,596,391,567,210,499,249,130,289,491,511,831,130,477,500,222,
322,922,023,696,126,969,917,352,657,308,805,586,331,103,955,192,683,946,293,
315,870,997,546,641,993,078,858,520,573,606,408,056,620,639,258,772,066,675,
211,144,290,362,218,088,327,936,739,282,777,998,277,711,201,981,693,196,695,
466,811,116,989,927,470,696,318,379,865,199,488,093,839,877,489,804,877,474,
027,135,252,270,817,101,390,928,578,073,008,162,283,455,458,069,158,612,913,
392,207,913,851,010,874,886,277,131,752,108,210,659,079,867,935,106,799,351,
605,284,316,858,856,913,270,846,751,588,801,099,368,553,272,155,595,994,015,
576,992,396,805,128,578,253,631,315,128,329,203,935,052,873,819,795,474,058,
107,190,541,658,541,535,157,521,941,674,960,681,588,685,130,303,936,740,650,
746,208,352,059,496,942,088,528,364,948,592,089,179,659,567,254,033,022,593,
501,802,952,361,116,793,154,852,176,560,975,551,081,385,390,766,399,193,915,
707,774,992,723,217,900,324,552,148,645,096,225,587,727,973,685,965,680,083,
727,512,100,420,351,128,657,635,272,716,522,500,119,302,611,382,968,666,112,
558,889,934,130,567,657,928,505,193,711,700,068,603,509,253,974,563,357,747,
754,021,218,382,053,928,139,253,898,925,030,799,742,694,178,729,131,308,176,
347,862,358,296,289,498,686,513,494,807,853,818,155,401,006,435,926,171,526,
055,426,941,486,938,535,856,994,230,724,100,671,638,591,866,554,962,919,922,
184,329,721,208,987,837,578,729,255,888,765,446,228,899,300,708,755,408,330,
295,631,977,124,458,112,594,951,589,763,347,363,945,696,222,749,011,377,280,
836,802,244,995,593,271,429,347,038,035,598,213,220,263,889,545,185,734,004,
442,877,459,586,808,394,376,072,749,010,281,803,243,312,906,765,792,923,005,
814,219,389,076,507,285,992,827,296,225,538,912,768,553,580,635,485,342,232,
928,271,872,788,348,979,937,839,982,152,885,253,979,350,244,009,960,606,543,
721,814,518,111,011,481,405,022,708,469,122,647,487,849,508,320,018,618,122,
274,072,724,034,603,356,080,196,080,318,747,986,168,278,091,973,147,467,060,
202,959,480,802,189,721,127,435,549,454,085,740,509,430,655,683,487,528,435,
524,941,957,151,289,233,607,631,571,411,490,016,418,007,953,976,743,672,271,
286,324,624,136,879,005,721,350,028,657,840,187,253,191,026,346,164,437,995,
027,075,467,648,253,704,154,547,180,719,941,185,596,159,223,350,136,693,627,
980,454,076,740,308,076,993,816,794,048,375,912,550,978,585,113,578,421,084,
718,824,962,413,230,562,837,186,205,641,975,191,295,946,891,285,208,029,077,
580,575,384,050,788,413,546,919,641,285,056,475,877,189,330,922,743,816,382,
713,847,875,097,359,503,444,770,438,079,259,235,537,700,465,075,140,713,045,
335,450,910,860,606,048,179,983,376,558,325,258,561,782,732,961,749,963,677,
849,416,050,815,868,522,286,674,254,753,686,875,990,349,136,245,714,626,890,
938,616,969,358,455,270,779,307,582,252,211,911,255,143,300,814,107,093,140,
065,777,957,136,495,805,890,648,579,927,895,649,928,878,534,417,228,699,028,
035,704,492,267,280,899,208,071,994,323,474,755,576,737,866,967,533,076,247,
839,192,022,945,170,453,431,957,957,905,595,286,751,416,097,190,004,800,217,
670,489,297,803,963,747,521,127,763,870,228,612,627,635,599,165,416,201,567,
700,454,131,204,058,716,394,700,680,545,587,165,067,743,949,067,202,738,160,
899,487,262,351,576,366,275,351,043,357,041,723,480,926,521,246,282,649,314,
008,470,535,959,431,955,336,574,327,152,663,781,294,605,716,608,649,130,005,
837,435,341,702,273,726,930,922,517,799,781,547,343,741,752,596,397,292,851,
871,397,197,181,231,991,936,152,990,599,691,114,439,709,872,052,655,874,144,
743,608,890,551,364,630,683,609,842,327,500,673,719,232,841,287,327,714,921,
122,650,775,676,156,259,741,653,612,055,239,323,588,497,662,388,228,480,545,
777,724,635,775,235,726,899,175,366,677,931,708,970,260,147,849,510,292,223,
035,806,998,403,620,091,648,824,779,678,425,628,781,626,328,237,141,542,335,
741,699,006,047,273,340,765,527,935,321,327,501,826,827,604,152,245,579,672,
771,512,877,859,118,131,029,989,047,621,612,449,214,580,884,760,764,728,802,
953,901,836,926,358,087,969,579,365,048,161,915,697,788,159,008,338,349,927,
783,691,720,069,641,193,947,226,949,698,489,453,317,923,490,064,842,215,403,
344,424,329,388,517,603,033,977,284,961,906,295,437,475,087,114,710,848,159,
705,330,685,540,816,145,274,460,759,688,465,557,791,005,727,204,008,116,883,
558,936,374,266,302,367,948,835,628,648,061,944,749,602,918,952,699,735,523,
515,702,707,793,495,698,683,707,905,250,623,879,901,721,912,865,971,238,160,
454,083,562,678,723,861,390,032,981,797,461,442,344,134,066,777,811,969,988,
742,328,856,625,442,556,953,299,311,826,284,645,295,788,555,072,047,946,465,
726,761,539,131,332,441,581,086,425,709,933,642,803,150,988,519,380,280,362,
623,476,605,027,828,185,369,962,183,687,933,483,507,624,328,997,377,517,497,
802,012,591,273,591,723,546,267,303,487,989,149,169,376,657,741,671,361,090,
899,400,736,529,208,371,754,621,807,314,493,527,621,690,038,022,238,993,160,
851,156,152,155,164,441,105,156,100,257,003,132,827,320,962,157,448,433,572,
595,694,846,667,848,780,038,106,838,120,519,451,332,573,275,109,383,557,018,
014,435,589,965,356,058,912,499,418,334,215,258,912,280,964,547,247,061,608,
601,132,438,864,807,021,406,649,236,761,452,530,120,245,559,344,654,101,624,
169,204,586,843,212,495,362,361,225,906,380,282,190,006,231,792,137,108,749,
662,688,089,449,474,446,623,793,288,859,673,424,163,874,980,880,454,738,140,
121,466,634,135,373,892,990,395,820,895,330,815,903,989,394,325,259,655,578,
149,772,386,012,510,269,520,997,881,280,701,836,726,076,082,739,936,052,058,
246,444,473,756,874,120,597,446,468,720,533,194,515,162,975,690,251,334,853,
739,527,899,809,527,963,423,940,509,505,076,674,412,114,928,371,652,363,738,
458,173,784,560,104,675,448,434,802,952,640,080,396,431,546,070,990,349,781,
330,251,702,555,781,714,314,854,456,671,321,448,617,154,303,215,252,305,583,
461,042,987,723,632,449,460,380,051,612,716,199,545,786,939,226,843,084,927,
260,208,587,247,327,346,650,021,036,078,821,069,599,764,079,957,375,956,244,
050,194,362,533,961,795,357,346,480,321,032,352,498,025,496,223,474,401,889,
377,758,592,398,235,267,688,159,391,310,608,627,306,550,151,591,133,356,949,
839,492,621,305,938,764,189,831,226,793,543,362,682,031,872,559,149,717,498,
504,395,722,815,465,779,201,465,789,255,332,360,184,750,143,284,870,598,440,
308,187,886,319,879,923,095,446,630,552,124,667,111,995,616,447,277,586,256,
612,594,158,836,604,812,336,412,970,273,407,037,734,846,734,941,829,137,300,
605,334,930,975,072,634,288,839,457,089,899,551,591,692,643,639,880,575,844,
862,863,506,486,885,307,808,486,286,005,499,847,681,263,754,577,540,701,804,
296,994,158,127,780,525,868,017,756,145,412,708,172,144,901,330,440,055,176,
718,142,543,546,823,228,964,238,402,639,361,657,437,819,839,051,025,333,210,
587,857,044,686,273,444,602,748,784,868,555,886,249,763,638,902,915,512,688,
784,780,098,802,964,997,525,627,473,070,206,845,693,491,982,240,277,483,599,
772,840,366,290,334,159,764,071,569,867,115,568,426,939,072,069,108,128,933,
925,632,671,758,665,792,904,882,867,783,912,797,363,102,430,404,621,826,627,
159,693,802,104,370,977,741,498,107,392,003,913,517,513,363,396,622,842,843,
164,292,498,447,113,523,978,756,756,193,832,056,727,190,359,310,093,493,006,
129,508,942,094,431,948,398,474,341,199,858,691,852,420,062,439,746,764,161,
543,580,630,086,986,845,856,353,754,626,022,689,373,093,206,816,520,733,734,
426,739,154,085,886,159,977,303,964,628,380,753,746,594,072,126,092,193,276,
982,427,969,053,032,751,178,653,823,922,817,092,765,360,385,764,570,210,005,
190,444,510,908,986,377,786,559,561,103,747,220,190,419,940,057,136,115,561,
442,419,071,759,015,671,904,438,270,927,091,627,195,589,745,411,868,771,557,
961,107,783,928,491,624,539,452,550,903,050,869,754,136,793,399,983,999,683,
968,399,634,236,675,983,583,396,110,846,317,637,629,315,668,308,905,916,502,
319,158,753,850,385,314,362,639,426,404,774,949,633,183,929,764,879,196,499,
678,463,117,480,490,523,649,203,714,730,195,146,102,465,075,348,023,926,023,
744,101,320,167,539,380,170,975,755,262,924,640,467,794,933,915,493,330,843,
344,293,559,788,550,610,632,689,979,818,791,044,881,077,724,110,344,262,389,
069,420,819,747,349,863,066,380,708,692,750,236,099,939,703,402,373,324,869,
821,291,271,836,951,245,368,148,964,116,126,472,811,328,645,829,170,191,406,
924,645,048,015,272,194,012,358,446,187,749,632,068,080,854,904,786,713,372,
634,646,067,836,023,494,281,799,842,316,261,436,358,874,048,228,003,961,210,
965,277,802,112,907,069,428,335,132,691,606,496,519,583,339,408,290,398,736,
539,295,528,358,827,245,697,677,460,127,277,569,418,071,193,079,312,997,467,
455,604,409,645,807,975,375,025,875,548,095,482,522,019,807,447,057,917,785,
346,301,227,760,843,025,821,340,458,374,125,018,212,260,341,196,210,946,081,
914,511,018,096,737,824,607,148,911,684,221,217,261,599,326,638,953,603,447,
908,516,075,840,435,564,603,537,723,997,007,135,654,381,458,634,306,810,218,
666,930,449,512,163,014,925,244,398,042,466,356,682,135,923,053,500,427,681,
924,026,413,299,843,472,478,753,100,924,066,158,978,049,074,922,700,243,252,
176,699,957,269,500,555,511,029,141,721,040,000,883,002,105,099,235,079,446,
805,644,372,058,325,051,958,995,896,031,675,544,845,867,973,669,111,646,424,
234,826,401,270,298,889,840,737,772,944,194,177,423,216,639,644,161,591,049,
358,707,298,065,590,700,377,978,215,395,556,674,031,867,641,442,194,940,376,
394,988,075,547,340,945,647,448,580,215,720,374,008,832,121,875,640,790,447,
860,953,217,762,499,787,814,191,820,614,058,878,465,617,294,324,800,972,731,
077,610,274,630,928,398,800,025,116,993,882,174,216,620,700,793,529,166,042,
246,229,227,875,678,395,192,824,066,893,806,611,784,479,710,439,772,769,051,
526,904,571,648,616,453,864,510,642,543,378,706,445,237,991,726,266,238,667,
936,178,210,299,414,451,008,302,792,444,457,206,149,120,980,019,009,955,045,
454,369,846,539,334,574,443,495,283,866,032,648,138,076,223,388,593,715,135,
672,688,299,506,926,388,796,436,476,204,839,878,318,199,376,529,695,748,445,
862,228,853,870,157,290,963,314,661,619,484,444,916,414,868,381,187,256,040,
767,652,876,624,106,225,834,502,128,486,092,345,292,218,856,645,726,294,747,
611,030,513,899,104,945,177,498,770,971,278,975,816,873,131,774,037,693,076,
275,973,815,019,519,438,144,617,911,254,204,492,628,024,157,492,793,046,826,
700,372,723,480,253,415,146,373,075,858,226,777,625,873,004,155,703,932,101,
364,682,903,809,781,357,965,430,139,694,556,798,212,137,281,659,293,475,242,
548,450,415,685,208,107,969,584,809,871,394,632,196,992,318,048,957,636,180,
455,159,350,305,572,582,265,684,426,951,343,494,559,817,040,412,719,009,778,
984,605,033,721,924,290,645,758,836,827,414,562,672,908,417,186,627,947,843,
570,167,747,161,577,211,961,048,643,772,016,521,744,104,195,673,574,079,058,
245,653,115,643,877,998,487,571,366,575,062,637,519,673,466,567,716,509,238,
203,880,180,427,838,884,252,033,843,575,673,386,272,738,201,107,961,124,781,
246,212,558,331,969,526,691,438,448,237,994,320,468,477,276,608,808,929,865,
756,837,287,575,735,181,609,444,926,028,764,416,008,204,177,682,103,805,487,
775,000,101,521,749,680,791,325,504,962,606,771,435,460,748,522,033,901,529,
244,648,069,281,616,395,108,037,661,217,932,436,542,626,899,346,745,984,132,
165,422,922,759,238,326,114,770,738,044,617,886,771,636,538,043,525,259,566,
107,770,497,891,921,427,326,580,713,855,043,960,404,483,017,693,247,839,178,
325,268,406,604,221,211,166,601,486,071,052,054,100,696,842,909,694,959,135,
757,353,994,489,075,952,567,472,855,067,494,810,379,949,697,534,981,119,928,
570,044,167,255,356,738,814,329,589,983,562,528,622,435,258,769,343,173,752,
424,601,595,896,693,127,672,552,053,611,233,494,150,986,477,293,504,804,742,
150,026,980,348,159,711,409,269,908,897,902,507,406,542,783,506,979,154,120,
955,199,813,978,805,281,549,662,302,095,984,051,154,221,368,718,484,290,070,
873,126,659,426,107,698,098,375,779,189,762,672,372,552,558,190,219,210,409,
647,458,987,100,543,006,386,169,019,207,897,240,501,473,320,147,405,868,904,
752,710,000,731,726,378,489,069,362,776,283,904,966,729,886,830,223,844,471,
732,506,439,404,370,890,437,970,277,265,174,028,043,440,003,948,625,803,096,
043,933,526,813,135,262,568,057,240,643,948,899,886,437,145,214,220,667,907,
333,343,093,092,525,913,587,860,706,531,758,479,783,375,488,557,444,518,163,
866,298,202,345,961,450,001,614,738,942,643,180,929,808,540,405,797,853,076,
396,512,286,200,716,691,109,598,407,634,030,291,253,625,106,286,698,123,565,
395,032,827,121,065,275,523,726,310,980,978,706,948,184,368,988,989,671,900,
148,210,821,797,886,807,642,726,379,842,800,328,990,283,345,252,819,758,490,
311,206,347,400,519,249,553,614,765,484,657,207,837,866,899,121,382,466,623,
735,947,147,297,382,610,045,299,618,359,507,462,945,806,064,388,604,346,533,
052,701,923,962,365,770,037,148,274,328,504,347,168,766,712,558,025,749,243,
977,655,837,024,662,184,029,444,156,097,746,686,388,289,108,367,522,552,017,
118,347,879,065,655,732,601,201,535,257,730,853,193,744,698,853,953,139,897,
657,388,183,538,611,468,121,181,116,783,975,372,636,782,227,145,431,482,799,
310,944,539,955,439,305,408,438,375,394,919,017,447,481,539,540,471,725,249,
387,987,488,050,275,956,108,084,333,440,173,577,243,048,469,449,993,827,395,
670,919,466,223,748,063,355,713,382,560,236,816,936,894,453,626,020,555,490,
990,941,567,991,373,089,336,686,897,601,960,274,852,513,037,761,879,088,893,
628,168,100,200,880,421,581,797,096,946,078,846,514,902,600,484,168,311,769,
360,700,377,064,034,580,879,560,313,642,069,139,517,639,707,841,130,406,680,
327,191,821,452,160,231,592,099,217,907,943,326,193,551,541,918,232,400,352,
615,809,710,253,992,086,324,396,809,382,940,445,756,113,590,894,899,019,705,
896,933,102,296,063,930,972,785,104,080,459,825,958,186,636,287,269,658,641,
680,674,049,782,483,648,361,825,697,637,353,341,224,455,235,094,196,915,731,
606,606,736,816,200,412,939,819,672,763,532,105,698,158,978,780,438,254,495,
628,532,753,588,603,459,265,328,372,851,618,098,465,868,992,962,771,667,016,
673,262,103,725,531,319,843,947,396,919,961,718,845,068,945,580,137,324,772,
603,668,865,640,515,415,710,299,107,010,866,211,565,732,706,428,612,040,709,
068,875,430,235,216,478,477,690,014,193,422,689,703,901,918,035,705,362,977,
975,736,907,420,673,322,790,505,703,731,461,538,189,850,336,057,486,643,747,
188,160,493,183,746,681,898,907,268,379,770,714,118,989,622,877,635,936,242,
067,177,285,375,652,271,015,553,639,271,412,320,665,841,716,267,585,888,653,
333,852,509,092,184,869,787,679,369,801,409,795,164,828,095,302,956,003,054,
380,867,808,597,569,016,430,808,907,641,452,495,607,687,952,404,496,298,513,
532,537,752,515,789,086,999,352,155,487,077,059,891,278,776,041,012,940,828,
317,157,522,468,566,246,788,372,099,444,559,038,207,210,154,299,706,715,271,
133,992,756,583,780,708,060,907,838,833,314,002,811,744,572,166,674,322,407,
757,347,141,392,480,009,836,455,179,498,869,088,534,842,029,282,899,709,403,
229,811,649,605,876,335,323,966,893,142,895,953,275,646,007,289,142,362,602,
703,201,568,737,843,189,155,754,999,477,146,280,699,233,035,385,481,141,994,
563,946,392,699,056,742,153,653,985,595,187,392,064,375,120,105,138,159,638,
305,145,294,992,740,110,452,489,793,254,952,227,243,683,149,228,319,434,954,
589,983,988,856,386,484,670,014,564,955,599,295,999,383,839,521,233,994,949,
637,995,553,311,940,805,847,399,580,118,537,616,766,226,428,432,103,410,759,
060,488,794,270,541,846,969,902,626,284,007,672,976,876,730,943,417,621,065,
143,793,229,888,902,757,226,877,846,922,682,729,772,715,638,577,611,186,994,
963,323,799,573,948,215,170,393,339,839,487,345,490,419,252,979,211,103,367,
598,461,474,763,963,334,577,661,969,572,657,953,127,805,012,927,783,935,341,
500,807,066,554,068,643,080,261,809,365,064,875,311,537,594,952,815,093,253,
898,289,757,935,696,347,353,766,239,273,191,743,715,979,752,242,611,913,031,
185,356,652,610,526,055,900,951,391,478,108,730,287,216,267,216,650,067,533,
989,014,159,880,581,681,799,381,760,438,130,463,394,593,516,607,171,360,206,
518,464,926,787,225,729,149,836,881,942,535,598,702,383,315,186,194,482,521,
709,379,213,458,806,252,642,348,094,084,341,094,039,302,194,937,555,326,014,
305,440,061,775,774,195,458,123,588,599,903,095,747,395,750,463,230,437,127,
208,829,989,644,698,623,670,010,872,916,175,526,129,925,958,918,259,169,308,
739,944,433,954,081,071,619,347,851,218,140,109,685,973,450,004,859,527,214,
948,537,306,038,580,239,992,532,176,337,785,200,636,644,527,533,580,310,997,
311,121,497,560,507,574,257,810,576,827,178,759,416,524,255,996,596,245,241,
386,270,725,534,730,065,010,598,173,512,297,787,212,781,891,046,615,646,240,
533,445,720,764,651,100,912,672,709,679,624,257,010,497,729,285,838,440,646,
753,638,121,077,252,956,812,610,533,645,153,496,653,554,271,971,753,224,617,
436,237,532,361,242,337,182,128,194,010,362,506,074,595,696,913,233,930,020,
374,670,920,501,174,718,487,315,027,846,286,395,561,216,906,924,449,327,056,
588,262,735,483,985,088,488,869,586,630,178,459,843,566,473,952,168,513,287,
933,711,415,070,884,589,964,801,699,849,839,915,489,791,027,490,175,652,113,
020,465,491,840,553,606,813,877,716,549,379,238,471,684,384,782,654,206,921,
623,273,493,690,374,422,145,525,738,436,580,169,819,018,803,998,065,365,810,
592,248,988,284,984,014,416,347,893,725,458,837,200,147,218,306,745,161,359,
555,904,717,021,075,457,473,798,199,880,960,703,972,182,614,282,346,360,561,
653,922,891,558,399,017,899,402,215,430,978,026,845,057,459,342,730,212,288,
377,992,175,141,884,393,978,530,701,075,067,124,007,307,476,392,926,795,586,
512,111,805,295,589,983,867,266,643,888,696,171,688,933,206,480,545,103,750,
545,160,756,725,410,042,579,508,131,553,208,186,400,927,654,570,624,433,818,
774,833,820,027,194,212,021,311,236,239,376,754,796,694,906,962,181,794,595,
040,536,337,881,627,979,536,991,811,634,775,151,978,671,464,051,406,833,691,
922,707,154,653,095,571,335,358,920,380,483,757,116,836,586,994,956,989,816,
049,517,797,658,360,258,880,614,800,234,400,283,999,368,840,203,268,748,705,
779,759,357,799,066,457,128,100,525,951,474,999,127,273,977,605,013,155,590,
068,122,562,367,055,050,643,950,869,125,620,601,195,554,757,132,564,395,767,
801,499,334,059,304,797,587,332,792,407,785,214,374,902,643,153,697,895,265,
778,416,199,391,656,309,192,568,906,530,858,579,831,189,742,026,050,997,875,
615,927,254,282,663,388,672,624,465,282,382,120,474,417,258,817,978,699,343,
748,999,159,353,862,465,882,789,602,048,806,697,467,461,801,527,983,609,992,
726,990,864,082,024,681,211,386,519,173,609,932,008,868,220,673,295,997,473,
030,209,205,003,463,189,500,123,421,677,828,432,853,228,751,535,544,276,528,
943,424,213,985,168,935,027,512,112,801,054,229,236,805,274,505,817,275,822,
240,600,152,056,457,316,022,710,755,812,590,398,736,304,150,666,748,822,246,
051,291,579,178,380,831,021,799,057,819,726,872,130,603,272,551,850,526,849,
577,822,872,309,887,847,449,267,402,472,968,117,170,278,736,271,016,691,442,
565,512,503,087,071,788,090,529,191,031,190,033,264,475,517,343,437,636,206,
982,637,741,182,781,266,049,559,943,478,059,649,326,961,927,661,936,235,633,
562,751,636,503,010,949,902,886,850,907,476,396,075,415,082,875,650,500,099,
634,851,841,787,031,623,723,306,845,596,350,150,717,380,031,222,130,253,226,
894,377,048,131,924,751,463,818,089,326,900,886,922,015,220,017,854,127,900,
504,450,718,189,542,106,881,555,269,377,512,016,334,052,685,010,749,341,068,
809,762,966,571,500,840,034,515,271,450,987,679,011,568,529,562,017,047,366,
974,737,891,116,761,300,639,003,902,791,129,499,169,389,664,946,340,233,501,
234,696,521,316,145,465,309,155,979,758,743,920,745,654,467,128,626,360,668,
031,238,529,484,387,168,915,702,401,080,698,418,444,967,255,572,713,337,514,
935,756,245,646,610,785,883,415,370,235,944,943,586,750,761,718,403,890,756,
004,502,178,144,919,190,887,841,390,557,832,262,772,536,287,232,535,348,719,
491,002,780,646,036,718,540,887,687,268,121,558,370,900,816,477,097,649,885,
583,067,458,228,767,404,191,765,705,292,645,651,867,173,367,709,210,450,247,
447,899,467,361,925,558,412,578,565,595,648,003,916,339,233,842,865,187,682,
810,491,523,734,002,262,912,728,538,034,269,025,981,236,779,306,452,002,589,
439,944,250,898,684,938,885,835,915,737,180,170,672,418,496,668,486,368,785,
884,750,972,562,798,003,011,429,372,089,494,823,218,925,755,148,731,838,473,
444,086,599,450,442,973,811,028,569,073,891,245,929,237,378,799,659,311,402,
207,731,089,078,631,158,409,477,258,949,637,817,461,809,131,798,416,296,512,
627,516,622,752,449,726,103,866,264,227,104,825,697,966,780,945,848,509,005,
126,846,794,999,262,314,672,750,497,963,452,343,127,676,016,464,102,647,410,
891,558,254,234,283,907,033,895,319,025,040,028,436,743,799,137,275,922,075,
328,616,298,973,350,981,923,372,090,412,602,675,361,011,065,628,214,251,331,
612,565,512,885,702,827,300,812,455,317,349,160,866,628,988,668,568,298,215,
794,675,917,720,658,778,538,555,386,407,356,860,618,527,885,697,458,953,273,
626,457,292,510,609,470,472,036,425,802,243,656,064,988,981,865,294,388,108,
478,361,325,420,287,209,643,345,420,556,843,008,781,613,840,871,107,144,840,
199,964,021,380,329,060,511,757,704,967,517,841,947,423,799,803,300,305,877,
378,977,363,343,236,981,795,606,449,141,319,831,247,183,841,033,913,136,372,
613,568,151,787,281,595,861,496,579,852,289,929,825,170,070,557,124,183,025,
231,051,966,178,352,949,702,769,706,844,927,122,833,764,113,841,468,271,982,
745,797,166,912,756,467,642,180,609,804,897,199,096,724,981,370,016,718,237,
986,881,156,197,376,614,470,478,480,546,405,153,396,154,994,206,989,518,727,
043,634,168,190,807,180,945,360,156,842,647,194,695,482,935,668,858,941,196,
920,694,217,009,605,437,122,267,868,090,040,695,639,230,058,808,830,199,083,
206,018,263,225,974,265,335,120,621,121,055,566,805,160,424,256,207,612,373,
897,532,551,041,473,946,384,627,002,332,052,695,997,064,171,500,660,594,670,
407,945,588,621,842,272,210,081,010,202,067,007,187,233,166,636,253,473,541,
209,954,895,093,897,794,262,080,756,027,019,551,641,121,561,723,083,489,909,
352,355,964,610,217,589,758,162,234,503,162,612,322,931,316,358,732,514,555,
648,822,965,747,293,270,482,347,481,237,770,456,593,654,112,737,307,561,082,
399,139,278,687,188,637,531,338,017,211,592,118,209,829,225,144,334,249,760,
007,487,530,101,562,761,881,713,614,940,968,252,227,210,997,612,373,938,923,
389,556,490,673,747,595,476,478,219,858,500,760,943,840,925,590,311,278,808,
414,156,125,436,618,319,850,809,119,489,337,126,140,471,452,860,837,115,505,
725,931,642,899,911,455,795,741,482,201,214,647,996,716,413,750,931,544,734,
371,115,437,355,830,749,922,059,271,933,276,694,541,000,038,745,756,631,909,
039,330,048,697,055,920,285,999,796,487,855,749,908,426,509,212,652,769,942,
261,481,518,126,097,897,330,218,123,384,180,093,564,706,243,105,125,070,593,
369,171,051,395,690,630,833,260,999,287,749,525,126,321,207,982,899,567,850,
018,710,222,681,421,942,374,742,530,032,541,599,706,326,752,132,809,566,065,
595,824,743,030,838,959,724,298,358,602,422,192,964,470,023,753,617,457,359,
534,238,025,397,759,223,811,015,100,465,528,492,675,137,948,616,667,980,495,
813,802,400,982,447,409,795,394,042,872,387,994,730,665,415,145,348,627,003,
915,921,654,826,488,493,696,789,077,933,905,398,547,838,431,791,721,148,583,
133,419,350,570,361,399,296,190,040,549,385,646,141,148,263,815,903,824,863,
505,586,282,631,413,732,501,641,012,681,842,230,849,500,277,827,954,741,298,
738,666,721,257,605,548,253,473,828,753,623,274,554,483,382,339,679,424,102,
569,462,506,894,180,950,837,816,501,065,956,444,713,839,908,573,384,609,688,
380,594,500,342,303,837,219,678,748,919,512,303,322,845,973,124,002,962,814,
070,376,606,807,570,105,469,139,096,846,445,967,617,894,554,703,636,958,399,
204,030,320,442,180,133,022,837,991,595,905,365,494,081,186,833,487,544,654,
583,017,863,866,034,571,703,603,793,974,290,003,409,391,749,911,273,298,600,
782,743,285,424,393,030,084,728,144,056,939,813,246,473,498,909,614,550,359,
309,716,685,351,736,564,323,366,255,542,645,221,664,069,266,527,290,953,879,
541,375,495,261,084,386,099,018,458,167,305,694,032,162,070,038,515,778,864,
958,218,508,951,337,206,690,902,438,190,139,028,884,426,277,593,324,904,466,
327,588,956,744,027,511,691,109,274,831,928,963,681,797,087,965,674,669,510,
915,417,068,519,695,355,340,898,154,077,679,832,944,220,880,649,013,286,208,
330,748,436,625,242,956,340,133,848,855,255,963,714,712,686,220,297,896,716,
255,777,703,126,708,154,500,253,994,392,721,036,319,409,769,798,496,362,902,
698,399,146,433,630,655,262,596,152,385,314,442,832,631,182,128,762,370,952,
350,865,711,806,988,851,422,311,588,644,591,628,913,173,631,351,216,243,466,
397,262,542,968,464,955,906,681,783,690,386,505,477,217,890,502,032,583,454,
225,090,221,828,541,534,839,451,051,960,689,226,585,249,020,531,303,137,193,
957,232,871,468,854,897,096,312,058,380,241,003,825,848,119,420,802,994,973,
298,176,122,961,260,954,652,534,981,045,639,383,754,959,433,518,348,433,714,
042,325,208,261,458,796,008,882,044,471,032,395,675,614,392,000,525,357,050,
553,128,566,856,900,655,551,436,503,643,835,940,510,461,149,762,485,777,381,
805,841,048,970,391,965,038,232,204,413,060,217,994,045,395,385,954,039,709,
530,178,247,131,897,758,610,101,964,841,893,092,551,971,578,225,560,032,306,
874,538,422,575,596,816,930,288,876,100,011,456,421,042,307,273,350,757,090,
084,134,788,692,832,047,523,258,414,642,070,634,201,051,243,655,176,194,014,
076,740,565,070,783,134,940,931,336,382,112,234,930,519,044,359,824,973,657,
097,770,058,291,211,552,473,415,714,582,439,573,022,962,593,913,925,698,192,
857,140,478,757,987,696,596,742,814,308,122,764,707,064,498,019,968,254,240,
254,669,753,296,619,233,844,996,650,645,634,819,886,796,537,168,703,074,558,
478,179,635,715,538,996,312,392,034,384,029,707,663,519,004,957,521,848,416,
438,777,756,814,178,073,193,134,168,371,369,605,248,384,406,390,956,175,777,
357,267,148,018,671,563,058,183,994,765,740,766,589,540,706,114,085,130,627,
664,795,635,923,387,085,808,336,141,772,104,662,231,922,606,971,361,660,496,
754,588,903,765,331,222,219,921,548,982,061,063,468,305,228,694,787,562,652,
772,164,970,176,019,008,639,370,501,446,261,218,360,192,381,141,611,110,585,
587,658,833,519,864,677,447,780,650,722,236,857,324,533,835,160,209,578,461,
163,317,029,076,686,343,856,017,868,062,980,974,025,519,469,030,232,976,044,
706,134,464,260,405,836,056,655,356,142,956,119,535,327,740,846,812,499,693,
173,442,908,030,853,090,618,816,490,097,302,311,939,324,024,707,449,220,527,
938,883,014,128,921,965,666,564,543,244,043,015,600,983,044,560,401,644,146,
723,463,068,379,800,335,956,129,048,627,196,492,738,012,956,367,806,305,398,
818,340,542,187,363,001,051,438,502,997,576,207,756,349,443,880,784,031,983,
313,500,290,675,193,389,071,835,338,074,040,581,284,066,756,341,055,580,216,
591,978,108,563,431,894,057,243,514,978,006,973,560,799,720,655,588,200,626,
728,254,831,184,042,177,543,018,586,958,944,802,238,620,952,784,945,688,814,
737,680,289,530,179,140,561,773,107,997,349,897,315,226,180,927,916,798,934,
880,988,932,539,952,198,687,746,021,561,002,435,675,842,758,069,160,561,440,
125,371,311,222,614,998,804,701,088,381,078,624,340,122,345,225,450,313,333,
108,262,053,437,818,953,054,320,603,394,812,806,211,091,033,388,961,979,905,
703,041,292,769,678,867,124,625,674,157,341,425,374,434,084,329,176,133,644,
421,291,286,603,876,555,301,072,197,397,775,008,375,157,568,010,810,547,170,
803,885,889,949,980,395,384,461,027,327,690,230,834,064,870,871,691,822,091,
693,442,907,313,900,416,688,422,680,697,538,669,948,311,593,196,780,331,316,
236,654,260,116,329,359,774,890,463,203,287,398,439,879,522,521,818,217,903,
113,585,144,316,445,279,268,557,768,571,424,472,442,664,694,257,550,711,765,
724,773,286,470,047,986,471,014,926,070,134,575,293,895,013,362,123,759,205,
466,710,745,937,800,963,430,067,454,031,158,015,062,109,769,068,514,791,799,
854,898,444,240,013,745,662,355,726,962,171,537,705,361,539,494,592,900,574,
235,550,242,145,258,238,580,432,284,314,023,164,193,672,797,239,724,227,029,
323,691,556,096,310,840,058,091,621,850,170,944,063,886,174,414,648,038,158,
266,922,288,677,734,099,144,174,176,648,365,802,905,694,879,152,844,398,569,
334,150,570,523,179,305,330,967,920,378,740,334,949,957,940,486,771,919,716,
989,689,138,603,970,199,999,483,747,869,733,042,847,042,961,626,231,279,295,
989,586,201,022,018,085,882,872,256,472,472,457,066,286,013,174,641,089,867,
754,586,166,704,819,412,978,978,983,979,817,055,345,055,360,131,883,633,597,
518,970,555,849,136,797,443,904,522,033,967,310,187,222,498,883,692,796,525,
498,323,203,708,067,451,401,697,379,953,207,440,974,302,567,197,445,761,066,
211,517,510,782,312,978,342,508,788,129,835,145,226,599,131,351,408,095,927,
220,356,898,116,593,442,119,196,969,003,581,396,455,065,596,540,236,828,285,
949,400,461,331,913,026,408,933,015,110,853,833,149,709,532,995,548,245,160,
829,267,491,446,950,085,582,027,653,725,552,379,690,744,308,133,115,844,707,
297,930,135,954,191,766,961,784,869,835,870,899,449,999,393,275,430,147,770,
430,044,643,075,780,770,545,914,419,177,206,852,493,546,943,239,481,756,757,
630,738,190,208,313,417,560,073,100,663,274,067,292,400,519,770,591,774,549,
000,930,406,702,551,846,294,428,418,677,639,801,954,681,716,669,659,527,904,
051,463,309,159,567,856,474,159,532,064,368,283,063,942,100,347,225,404,109,
521,347,794,429,992,472,192,475,107,252,179,978,453,680,990,571,227,983,819,
037,174,996,053,057,465,891,654,140,306,968,326,181,024,871,269,189,964,727,
649,980,075,677,899,431,925,784,570,558,600,402,057,335,872,960,106,255,527,
447,244,554,273,230,850,597,448,193,910,432,455,296,320,969,789,448,010,131,
851,995,225,170,828,790,868,123,058,067,928,940,265,197,588,903,301,270,583,
819,192,508,023,022,768,213,320,661,194,219,008,578,123,788,917,402,284,543,
848,347,065,284,429,837,821,214,410,674,747,833,691,737,004,783,085,833,046,
432,124,403,628,436,872,689,484,691,344,818,105,254,576,804,237,624,251,724,
879,927,019,303,456,170,203,038,679,895,742,190,205,010,844,645,415,798,964,
658,098,169,676,161,405,603,088,063,895,606,240,172,724,047,067,637,735,791,
969,987,052,795,358,996,182,280,902,887,956,992,770,229,485,806,431,036,445,
896,737,916,520,476,517,886,746,215,564,448,559,407,792,722,972,626,122,159,
528,519,955,051,808,507,659,355,133,701,625,589,615,024,914,429,176,412,332,
351,633,260,416,297,536,012,486,872,961,900,547,592,882,521,770,463,054,939,
499,888,912,754,503,335,351,454,271,904,603,755,232,026,677,211,028,479,045,
114,627,744,899,072,275,212,845,982,519,397,557,498,998,240,191,871,843,939,
406,516,103,405,232,887,526,645,035,013,474,811,240,127,191,294,212,872,156,
563,428,911,347,264,024,826,508,196,199,679,887,275,691,549,960,399,696,278,
928,239,399,200,094,826,146,105,556,109,419,555,822,637,934,525,630,836,440,
815,629,496,795,885,479,556,633,644,264,714,912,307,182,511,757,171,611,885,
133,300,599,159,030,178,369,821,341,647,773,321,336,456,617,919,759,682,918,
720,476,908,219,411,375,465,938,558,703,998,999,950,105,704,582,001,289,205,
314,710,765,031,411,854,042,043,617,885,724,140,965,849,230,394,471,987,247,
032,396,125,547,075,409,410,207,005,063,456,918,222,571,247,092,248,727,645,
964,234,807,792,320,871,333,957,303,737,520,104,044,570,149,254,140,442,377,
587,722,413,046,215,179,996,988,219,590,199,693,586,572,922,531,917,096,340,
008,647,713,393,338,821,478,909,630,826,878,251,742,379,051,159,224,824,726,
109,750,665,077,051,128,883,175,332,862,488,953,013,709,045,900,249,046,852,
154,113,628,478,622,558,762,564,749,023,412,086,734,587,793,534,360,345,209,
820,705,903,254,482,543,058,124,395,410,338,112,916,071,955,727,412,631,993,
776,514,044,646,646,807,617,011,722,387,515,813,818,620,754,350,534,623,400,
127,777,679,271,179,671,539,252,365,433,809,288,217,074,426,305,812,995,740,
614,002,045,372,492,646,314,862,150,969,382,808,099,511,258,677,208,340,199,
944,446,163,873,490,247,793,625,440,417,787,667,440,376,990,623,245,726,926,
788,016,788,140,317,392,951,322,172,204,027,958,443,028,719,744,673,126,280,
944,449,064,120,880,352,627,373,406,049,088,342,699,819,165,946,494,149,179,
498,871,790,199,763,787,803,499,620,537,856,971,363,018,205,480,141,764,050,
305,036,782,982,839,503,471,503,013,833,296,266,396,366,272,100,242,357,149,
038,487,992,510,831,648,492,731,548,817,617,484,917,253,578,016,806,178,802,
513,940,662,472,040,724,125,987,406,915,191,285,955,869,928,678,904,053,252,
347,450,538,877,821,792,886,015,189,010,897,331,865,804,970,536,823,566,034,
575,544,707,662,864,973,182,297,994,416,098,717,245,543,185,204,341,153,202,
885,099,345,446,281,195,262,976,334,180,437,744,683,558,206,495,093,760,173,
562,815,659,515,955,688,269,865,241,034,015,360,816,851,181,380,899,283,374,
097,808,725,889,677,908,195,278,025,459,669,392,213,430,627,308,100,452,422,
690,059,555,757,826,640,868,904,835,192,994,558,858,845,116,537,352,316,636,
230,916,301,180,431,592,521,336,764,476,400,110,343,552,327,487,929,212,908,
706,250,759,739,879,537,364,368,962,674,266,024,127,729,459,208,621,389,460,
771,957,157,090,517,242,105,708,532,850,139,115,270,604,685,395,356,494,658,
877,450,721,658,762,643,633,947,141,195,330,660,318,594,588,122,732,418,191,
541,149,973,800,857,082,679,467,335,515,671,947,585,405,521,748,468,423,277,
236,961,306,668,481,007,874,147,733,905,357,311,373,744,380,847,782,613,328,
957,291,459,426,545,517,525,758,455,457,714,180,182,395,514,931,091,421,124,
009,818,019,086,538,838,181,767,278,632,008,730,301,577,474,639,080,200,016,
561,676,677,445,463,279,356,206,837,821,111,862,308,656,270,750,778,629,620,
542,267,050,425,885,366,998,311,063,889,106,161,242,443,945,154,454,578,256,
709,388,519,334,329,752,493,179,771,997,996,911,719,886,499,014,769,803,219,
476,775,949,394,585,148,716,331,168,648,097,411,622,194,106,543,448,836,757,
571,144,313,861,227,803,675,473,334,581,543,929,760,464,988,186,385,135,812,
843,158,880,304,579,171,278,088,868,718,162,432,857,051,744,483,917,996,006,
666,735,235,093,387,340,842,779,238,834,842,467,317,068,861,101,117,287,587,
656,134,721,767,183,963,421,132,575,692,145,116,299,378,454,833,735,703,581,
744,828,729,394,311,569,732,546,025,798,310,625,715,462,672,432,689,322,628,
893,669,419,426,855,757,103,585,052,736,138,847,864,141,020,661,171,139,656,
380,130,786,884,140,082,165,221,071,769,172,178,649,454,531,555,021,232,942,
073,161,469,297,332,392,017,517,883,829,154,941,342,225,922,211,206,345,490,
448,865,623,169,913,621,826,044,481,561,549,631,171,425,030,316,018,595,108,
928,336,288,552,785,970,691,181,785,497,600,922,790,290,868,822,964,953,248,
240,087,968,864,884,707,788,279,497,525,211,620,250,173,194,632,329,749,077,
441,965,022,361,102,274,046,623,416,868,933,595,490,641,560,056,262,376,757,
609,878,280,254,665,987,134,860,516,723,335,674,744,733,091,958,523,394,034,
577,156,600,729,646,047,131,599,866,061,657,568,358,230,865,525,758,201,760,
768,891,625,845,211,527,757,864,917,729,824,504,822,127,932,607,901,525,580,
254,205,238,920,273,354,734,547,503,215,528,961,449,352,348,414,672,884,989,
362,548,744,553,196,960,172,829,442,250,365,951,701,096,901,697,287,790,427,
533,954,255,545,239,916,618,896,444,122,187,843,577,016,300,043,158,950,965,
299,868,272,809,376,349,200,967,147,401,495,283,531,956,917,660,232,976,806,
753,793,482,785,912,024,120,055,773,823,362,752,195,867,057,424,316,337,089,
417,468,913,078,104,109,814,728,380,946,306,092,837,738,563,136,229,491,299,
232,736,973,394,173,293,210,409,188,121,058,439,583,456,900,359,719,274,790,
936,443,857,909,598,457,153,419,243,604,748,025,812,564,916,087,957,943,352,
294,022,481,332,897,481,473,521,328,613,004,119,786,607,187,148,356,231,311,
948,922,019,112,946,103,527,147,412,629,703,694,834,398,265,378,126,681,608,
255,388,386,070,528,164,364,515,108,893,378,126,233,042,403,844,802,196,001,
471,219,360,463,066,922,734,947,948,228,929,057,279,048,229,718,549,114,203,
995,753,744,210,899,729,122,667,801,229,201,002,080,436,570,488,014,841,332,
174,145,523,279,019,138,025,764,940,208,371,811,802,361,878,715,777,670,813,
438,271,934,450,327,380,826,208,089,158,764,980,006,393,278,192,932,427,902,
053,520,943,128,527,884,964,118,142,013,828,537,058,541,111,763,343,429,476,
218,199,391,431,938,753,111,195,647,940,955,272,998,860,436,853,736,104,051,
452,567,497,075,292,101,453,869,177,318,509,977,060,472,014,922,330,650,831,
661,081,078,006,524,830,595,953,508,142,793,457,004,216,626,539,377,887,644,
503,240,165,466,683,227,809,834,102,300,429,774,427,034,771,228,799,273,242,
166,617,833,126,752,239,767,943,105,850,302,787,714,141,932,650,368,474,356,
083,594,454,170,793,617,579,894,288,739,526,876,009,750,416,917,930,847,294,
929,338,436,465,764,609,565,770,082,633,949,669,232,062,745,462,063,094,528,
565,644,845,741,409,519,397,055,389,070,153,181,747,384,688,301,842,868,590,
630,329,895,616,701,350,371,571,352,630,927,263,994,752,782,218,320,700,526,
925,400,147,398,745,851,614,328,695,435,353,186,959,893,178,829,761,783,452,
442,859,436,637,768,819,025,097,073,974,896,943,975,846,835,131,491,330,107,
782,626,626,916,696,474,462,811,802,883,423,298,367,084,489,580,347,252,259,
057,155,177,781,488,872,579,377,430,839,212,240,483,557,319,767,085,967,422,
181,534,459,487,766,580,722,778,874,260,087,493,700,637,261,056,515,755,724,
944,293,626,531,204,309,452,092,624,725,706,469,316,004,635,973,247,272,792,
566,011,666,045,580,120,171,878,297,096,192,839,113,880,639,560,605,875,701,
720,401,141,986,906,736,637,695,266,528,455,335,251,392,323,399,677,778,157,
709,971,513,271,211,578,798,922,020,553,598,039,696,438,193,955,342,499,572,
430,190,430,809,511,536,033,804,261,383,443,661,646,981,495,233,211,478,819,
780,127,224,994,412,349,836,197,495,793,396,997,592,477,872,848,876,424,338,
734,031,932,222,266,207,042,556,530,269,256,384,857,817,540,806,370,202,433,
131,487,587,827,800,406,230,209,100,123,989,399,665,225,749,909,962,598,458,
818,338,491,088,509,731,577,653,467,446,168,285,542,799,761,015,944,187,090,
646,176,312,754,895,674,556,404,141,474,223,306,695,082,203,361,782,967,766,
316,567,823,916,862,030,660,161,998,422,396,834,128,249,460,646,244,881,232,
886,473,045,000,423,238,166,699,075,663,079,326,398,282,354,460,169,739,958,
199,772,322,422,129,329,487,769,258,760,937,837,317,401,068,326,330,869,296,
225,996,470,797,364,836,685,770,937,741,517,204,777,474,962,806,218,394,416,
503,438,722,960,390,747,597,735,065,960,756,253,365,994,680,789,278,829,430,
361,581,967,453,954,077,667,942,066,977,424,268,026,411,959,233,012,537,390,
571,299,194,043,308,977,629,325,183,575,418,455,938,928,804,096,769,625,777,
300,145,613,067,354,438,765,533,577,852,226,136,034,439,854,552,724,054,193,
843,783,618,216,260,942,968,131,630,791,447,681,701,314,715,762,130,620,761,
708,941,669,907,745,129,360,358,056,785,649,469,141,350,485,709,633,003,992,
749,525,186,362,557,855,402,951,308,604,877,102,657,782,381,390,682,118,052,
982,206,924,270,535,582,387,803,215,613,276,924,556,734,145,059,217,018,694,
132,200,311,673,946,243,488,944,979,874,186,966,973,666,328,406,807,599,000,
185,398,456,099,297,514,890,115,070,907,628,522,864,795,934,004,797,682,893,
284,252,058,874,329,710,787,501,321,104,160,988,810,340,182,564,624,269,659,
630,830,434,787,180,576,445,890,139,466,465,442,837,241,818,183,453,423,661,
267,122,823,275,366,877,495,792,325,189,854,050,326,777,081,526,105,829,222,
298,136,328,344,584,005,838,819,815,129,289,215,587,807,223,821,646,839,185,
802,904,143,384,914,850,987,740,209,196,208,256,396,695,558,710,720,559,482,
687,201,361,781,557,019,500,545,232,037,901,687,440,222,775,202,915,981,364,
050,053,190,828,477,641,720,348,249,117,877,079,669,690,111,778,045,389,944,
455,427,904,796,592,449,995,698,435,651,888,149,596,162,561,786,362,115,504,
244,465,249,024,344,423,989,665,375,558,137,808,831,875,107,582,104,262,546,
938,599,615,330,097,323,419,241,043,200,987,735,439,562,476,142,956,739,683,
155,154,523,810,294,387,380,785,964,232,692,124,574,923,373,459,250,181,104,
841,468,818,862,923,583,982,343,420,671,803,678,020,562,817,445,877,891,430,
778,228,616,646,083,694,137,551,935,732,846,211,469,935,419,854,362,112,829,
984,654,333,893,258,953,836,343,005,086,348,470,330,454,649,650,161,057,173,
221,587,803,812,753,088,400,688,306,741,585,214,517,462,647,202,092,971,644,
479,010,839,718,138,088,093,847,984,985,373,631,119,071,159,290,113,783,089,
437,884,860,005,384,937,937,759,930,962,606,367,447,245,010,670,699,650,525,
371,091,442,683,516,547,021,466,071,371,103,397,970,831,098,211,702,764,615,
693,569,573,889,514,943,781,698,431,030,712,878,020,512,722,627,142,631,581,
967,667,221,228,006,425,346,613,852,849,301,030,331,392,142,332,608,502,012,
916,311,623,166,616,009,815,157,412,527,758,853,315,723,962,384,227,403,271,
388,593,007,428,974,815,865,286,177,290,076,999,760,409,839,288,277,620,967,
528,442,906,118,109,850,508,588,183,810,569,755,527,510,176,653,019,296,324,
395,807,947,594,825,284,096,698,324,894,444,216,897,201,467,250,195,162,104,
031,360,174,074,728,973,516,659,095,034,758,184,692,854,452,696,388,225,848,
092,352,807,103,733,206,578,773,105,540,776,631,958,156,659,443,558,257,852,
805,221,369,642,693,272,967,026,379,788,210,145,305,982,922,656,183,878,302,
903,553,395,824,842,941,964,594,795,996,896,036,681,629,966,688,129,262,177,
259,964,694,934,478,266,618,776,657,994,629,936,149,465,377,010,651,567,400,
432,704,939,836,569,202,798,946,648,056,245,928,301,477,502,341,870,198,741,
152,342,836,368,719,569,519,908,770,200,757,099,805,835,270,360,885,381,593,
170,670,488,164,772,306,175,333,334,645,586,904,194,523,603,325,314,668,625,
987,178,070,670,599,924,045,290,691,241,223,193,781,020,451,340,159,172,178,
092,109,210,088,327,185,822,227,233,222,614,122,293,164,818,695,026,425,778,
843,218,210,898,270,223,511,167,071,258,630,200,545,407,496,978,226,459,489,
216,026,126,334,566,501,571,133,581,660,483,597,095,624,952,864,894,645,804,
150,535,971,745,996,206,596,942,203,388,085,127,162,946,202,620,237,316,042,
689,167,264,141,874,227,488,352,647,401,977,556,177,171,848,687,407,665,131,
024,154,665,629,294,828,676,861,880,814,547,091,595,119,040,098,506,132,931,
577,472,029,854,217,043,500,374,576,960,595,493,424,796,725,896,298,829,633,
017,780,494,771,986,195,409,945,427,931,934,389,278,881,438,268,919,839,011,
625,297,451,657,916,056,508,185,668,042,635,603,907,154,830,242,798,683,278,
051,250,400,412,800,050,971,083,967,811,888,206,205,574,749,330,343,633,619,
910,426,205,338,167,816,018,977,827,486,514,120,164,835,825,889,960,799,473,
904,484,543,480,307,131,904,791,932,035,456,868,781,094,110,381,076,599,739,
587,112,742,502,717,135,963,823,909,754,159,204,521,182,639,344,618,856,714,
634,243,264,315,049,850,802,465,136,938,662,503,967,794,180,047,742,759,147,
060,451,984,643,353,949,946,616,555,584,341,886,276,285,586,033,178,784,087,
909,624,839,905,979,094,433,202,268,233,231,862,577,418,504,461,374,088,745,
757,533,612,780,077,328,351,874,796,439,420,788,641,096,938,006,831,428,976,
464,953,526,231,408,083,453,005,098,194,105,812,079,101,349,556,234,012,172,
400,763,508,123,553,841,367,603,009,945,699,616,142,252,094,205,409,562,652,
700,554,945,944,278,404,975,462,306,213,331,765,543,963,733,818,031,840,277,
680,192,351,957,195,058,707,801,137,683,584,598,756,258,349,445,439,779,622,
135,595,665,674,750,243,998,434,468,701,718,837,216,076,919,604,394,866,577,
283,310,842,424,668,824,049,443,639,499,779,497,601,435,506,066,827,669,563,
963,257,263,455,129,073,995,461,324,724,332,933,086,705,412,319,198,528,514,
312,431,557,907,162,658,839,381,578,078,647,131,328,581,595,232,251,605,227,
623,149,960,376,749,805,037,650,775,175,455,710,995,128,734,416,167,367,193,
410,685,049,807,691,745,970,466,919,539,896,540,395,254,672,260,051,901,070,
982,049,394,869,753,627,433,023,823,717,596,332,782,076,625,878,135,419,392,
398,904,785,525,001,580,891,761,477,180,510,203,713,053,741,983,942,679,822,
493,827,949,890,469,723,790,650,722,501,026,583,567,889,528,835,496,429,112,
491,042,006,663,167,233,908,713,149,829,884,630,849,253,892,146,690,616,185,
536,831,611,814,765,796,477,220,539,527,099,657,614,346,721,363,168,804,816,
784,545,483,510,708,764,819,712,704,521,279,858,548,444,814,987,210,677,275,
277,910,692,206,846,724,561,066,859,155,597,835,963,077,668,100,396,863,366,
054,469,597,104,150,279,414,848,173,379,763,262,034,403,046,808,687,087,518,
699,485,911,348,974,360,242,772,101,609,724,708,703,853,111,882,418,466,080,
059,417,148,846,894,901,604,478,001,236,884,606,679,781,141,829,161,966,221,
591,164,189,583,975,766,781,532,099,534,606,639,713,651,176,563,233,348,359,
733,532,201,543,305,676,700,820,404,135,131,266,169,647,704,288,757,639,543,
996,978,378,965,602,733,379,135,450,125,159,557,189,106,986,564,752,198,615,
569,922,208,501,066,550,063,162,571,888,304,206,605,753,605,558,240,810,625,
370,759,878,262,225,067,801,812,502,401,122,259,049,163,650,753,075,132,605,
836,910,751,410,637,714,012,881,351,384,070,186,012,448,053,586,409,436,180,
854,837,479,889,557,520,223,581,258,227,664,787,146,486,237,379,896,768,223,
430,441,546,594,735,604,323,919,149,894,724,174,328,796,608,095,996,310,636,
377,147,934,606,270,179,846,137,370,574,025,902,561,928,412,440,145,739,070,
066,312,472,462,154,300,642,033,288,587,160,530,478,506,998,063,398,883,162,
375,076,477,835,241,613,430,789,057,725,834,386,816,061,590,147,300,699,333,
187,687,662,610,900,096,783,722,488,062,324,330,081,770,817,334,996,050,669,
537,419,457,432,371,153,747,770,847,945,770,908,488,112,825,624,095,523,730,
619,952,413,360,423,163,430,371,487,266,767,224,505,267,283,609,598,421,850,
623,757,390,204,443,976,558,242,045,680,156,153,410,901,186,714,108,650,207,
690,338,465,960,098,418,489,046,778,946,652,695,191,859,179,339,972,058,805,
307,451,660,194,094,820,079,829,134,724,213,081,608,171,376,486,338,903,148,
908,209,672,600,692,517,360,592,915,197,378,737,822,029,553,920,567,442,351,
013,145,634,342,722,499,937,832,978,357,651,253,980,728,997,639,616,567,755,
943,234,594,869,057,101,463,770,277,984,738,909,618,727,294,811,324,446,076,
772,346,038,663,528,560,950,726,767,134,967,461,453,605,042,123,576,322,523,
684,705,789,794,332,237,236,945,474,616,537,488,111,137,033,125,800,980,446,
579,718,819,407,702,045,004,019,602,700,598,814,290,008,580,642,070,041,980,
612,569,676,325,732,993,173,471,397,832,046,923,952,939,299,326,731,192,967,
227,942,447,580,668,342,643,128,220,362,154,557,052,377,639,920,872,738,059,
523,475,968,610,605,987,188,853,291,172,710,691,733,491,995,596,034,164,717,
703,399,497,174,130,665,246,812,733,160,821,437,161,454,336,108,331,145,422,
609,228,208,089,653,357,728,405,873,746,867,630,782,429,027,624,667,417,920,
055,040,849,387,779,888,244,950,515,303,728,419,071,161,490,613,008,455,090,
144,946,858,822,149,030,574,775,934,983,378,348,246,514,287,413,144,626,274,
994,393,384,421,014,685,395,217,446,895,497,125,032,504,545,945,769,255,243,
697,080,223,316,263,923,897,114,302,424,291,341,049,036,316,843,841,382,473,
646,644,134,627,386,826,167,303,592,428,296,715,601,582,789,289,927,842,291,
542,543,633,943,236,661,420,748,528,796,459,773,949,604,430,603,276,773,268,
965,247,728,163,778,598,627,392,698,674,946,110,955,961,746,455,182,245,139,
579,168,433,616,626,777,077,471,604,645,039,921,252,841,084,784,239,153,271,
815,014,283,218,295,021,282,352,142,968,678,306,466,021,001,537,436,038,806,
250,512,657,202,383,722,243,917,180,825,684,117,355,081,279,510,685,029,335,
425,837,782,513,637,728,025,392,573,666,283,206,476,572,284,191,761,094,923,
634,891,234,086,541,091,395,473,185,144,829,612,192,375,075,287,928,407,959,
265,733,221,022,275,090,762,901,204,069,147,491,126,848,397,467,621,957,342,
748,970,922,086,958,832,204,923,835,628,318,936,681,152,318,683,956,784,204,
572,922,984,620,732,729,728,826,795,411,239,713,258,039,586,910,702,755,102,
520,198,531,334,214,499,046,166,951,633,224,434,417,878,147,344,687,852,148,
494,327,090,805,561,991,909,568,259,434,697,097,025,223,988,691,540,160,294,
862,086,426,476,053,033,405,611,597,846,831,271,857,806,508,337,163,385,777,
637,374,368,537,825,035,311,740,996,187,240,989,513,664,918,133,373,295,713,
073,147,983,045,348,493,557,778,596,841,940,920,870,536,764,219,453,768,211,
798,615,848,317,228,724,228,828,873,535,027,042,224,591,117,318,373,859,100,
147,011,944,063,900,489,912,951,356,576,516,414,650,718,982,641,121,441,818,
045,247,458,882,519,518,153,559,328,845,647,391,818,139,849,088,119,751,181,
158,736,726,518,276,697,547,733,334,675,055,984,771,281,800,128,352,026,855,
766,729,738,053,067,400,724,294,507,800,564,287,078,122,971,417,913,636,709,
927,407,190,449,917,576,768,874,113,660,931,545,748,941,965,753,023,673,086,
618,351,680,857,198,714,746,334,355,630,975,727,625,458,806,596,027,554,547,
481,646,705,115,203,247,767,269,705,390,822,871,067,030,970,650,033,125,616,
695,010,070,262,254,528,709,532,918,724,961,569,003,489,423,474,253,546,533,
143,832,821,866,924,102,715,398,795,442,810,962,563,759,716,525,540,240,416,
418,414,975,873,580,609,555,500,356,149,757,107,087,031,082,675,531,828,485,
391,776,795,453,574,006,741,300,745,737,508,453,227,035,391,319,577,386,839,
377,248,334,571,626,481,824,711,199,523,045,446,425,290,410,900,339,558,129,
283,894,196,084,163,634,043,468,847,533,437,240,374,938,980,160,779,077,495,
338,698,414,462,176,948,784,909,984,275,411,079,762,420,318,170,293,075,331,
542,862,003,832,074,851,148,555,675,887,076,042,142,238,111,272,867,991,825,
306,218,076,268,059,319,646,057,747,647,063,059,141,782,633,347,076,936,346,
356,863,738,665,893,373,821,034,209,441,248,823,818,824,708,529,315,035,726,
135,480,723,671,630,032,505,017,338,924,279,828,493,160,058,881,469,680,079,
963,314,486,815,766,460,695,330,148,732,138,527,288,552,779,272,394,983,499,
931,721,301,451,468,014,137,406,628,389,901,324,224,943,968,641,994,808,634,
523,801,514,467,381,040,440,876,969,352,630,727,000,371,944,631,393,891,965,
109,640,376,199,780,917,087,188,722,005,624,900,205,841,913,486,591,256,462,
468,756,824,772,420,446,499,302,639,343,995,737,362,984,410,388,765,989,220,
893,891,655,658,446,014,017,508,453,542,042,274,597,103,037,629,557,812,867,
178,624,921,128,867,568,881,156,396,426,102,314,552,449,294,973,989,196,471,
064,974,569,254,652,813,439,837,160,044,949,131,590,790,441,775,306,342,607,
073,868,687,046,567,299,823,450,758,679,594,774,150,339,312,353,693,071,589,
032,314,775,580,744,907,070,037,952,003,597,878,349,138,538,747,813,601,887,
757,839,746,711,744,018,305,131,077,310,239,756,830,778,481,388,366,963,746,
231,449,973,584,610,862,444,558,359,902,209,599,161,789,288,431,026,355,528,
287,713,304,310,084,823,763,268,434,423,193,904,112,080,022,331,791,329,959,
909,189,027,816,851,228,774,735,303,693,737,916,010,272,179,804,786,903,921,
113,860,945,170,871,973,019,474,214,978,322,804,705,231,397,378,140,854,057,
546,859,128,541,568,845,454,646,284,094,288,715,388,383,585,597,599,954,200,
448,242,028,169,326,348,560,966,685,748,598,300,147,857,847,916,188,791,220,
992,195,227,934,312,772,801,901,877,025,686,631,383,362,739,476,383,679,615,
935,577,366,902,187,314,256,645,235,311,618,906,757,585,062,078,995,238,699,
919,003,752,857,645,711,630,162,535,908,001,927,043,264,018,254,318,368,208,
381,251,442,576,769,359,811,927,558,963,432,990,774,848,290,935,547,685,282,
285,095,822,107,264,613,621,591,647,796,992,998,492,868,542,362,732,111,883,
256,322,676,577,264,486,145,113,747,545,378,521,838,148,818,482,292,840,516,
194,777,016,109,988,893,673,516,962,122,216,247,356,151,474,489,053,124,007,
015,371,094,783,648,564,643,978,436,605,067,503,038,993,314,807,714,574,895,
886,434,255,588,239,535,136,061,647,911,683,820,396,771,858,361,054,751,737,
689,833,843,873,468,054,951,891,273,732,175,419,537,459,594,026,539,734,107,
005,470,254,828,376,465,758,362,693,935,384,794,388,161,967,122,290,730,857,
555,659,586,003,656,805,524,338,834,342,717,522,928,696,201,029,233,544,255,
144,426,216,465,262,054,927,576,028,562,497,348,179,921,202,568,677,542,987,
395,414,818,445,309,916,062,568,508,140,382,614,118,665,662,159,335,825,893,
415,843,473,625,724,074,351,467,207,375,763,818,249,988,422,431,894,872,120,
500,264,789,686,185,221,514,811,768,182,249,204,394,120,056,341,700,577,350,
753,495,602,215,830,176,527,186,467,389,785,268,594,519,848,075,792,808,192,
738,483,109,063,580,641,877,277,698,451,495,729,977,940,406,557,835,119,437,
594,791,945,018,688,307,186,875,891,368,758,779,026,135,955,819,419,043,442,
668,816,216,683,955,935,224,588,762,190,999,809,695,137,767,539,041,568,071,
299,397,716,101,493,973,217,377,521,008,809,573,096,612,444,877,395,388,067,
855,175,854,898,596,246,910,768,767,912,156,126,418,618,708,571,141,199,688,
556,578,567,523,621,127,535,453,098,725,253,188,649,015,450,574,096,411,188,
839,936,248,330,086,741,325,951,315,578,626,696,148,529,802,875,477,591,660,
729,820,471,610,896,596,700,596,457,654,710,094,236,343,496,726,919,009,264,
803,126,430,023,827,111,265,612,794,318,731,302,985,124,518,701,008,092,696,
344,293,673,602,385,417,211,779,650,443,813,730,338,551,579,464,824,172,886,
221,353,026,577,243,182,027,370,565,334,008,231,940,456,404,526,843,731,901,
597,970,426,596,491,893,578,117,226,518,556,666,359,436,401,179,274,715,338,
926,792,836,541,122,382,906,680,253,304,989,267,143,788,449,515,023,049,074,
648,899,441,367,809,585,601,771,366,412,564,354,264,033,338,658,164,878,089,
331,432,240,038,197,478,176,522,333,846,592,224,846,528,480,612,889,508,622,
155,397,036,503,362,921,205,637,534,380,691,045,646,604,756,562,138,446,040,
252,575,137,664,228,327,529,967,390,891,317,868,554,036,739,102,300,414,609,
687,694,067,604,644,726,234,520,748,469,773,795,444,756,844,446,234,294,840,
459,170,961,108,719,145,393,554,705,939,745,222,309,490,534,103,745,452,516,
585,111,436,660,137,534,427,328,591,767,014,789,513,906,827,515,449,673,553,
360,414,196,605,123,664,707,701,800,185,192,984,604,486,287,196,507,963,746,
912,040,636,738,115,774,254,161,113,715,778,672,133,662,879,570,579,006,770,
400,622,708,159,200,933,718,384,282,987,280,644,515,814,967,162,367,590,514,
677,315,427,141,660,682,727,083,279,362,016,858,210,612,704,370,736,730,697,
916,630,971,873,286,275,990,730,080,951,581,924,674,019,661,234,274,304,072,
153,254,000,654,714,948,929,528,609,943,897,130,537,634,455,819,636,843,931,
884,531,541,487,594,758,386,392,781,434,205,530,294,362,965,756,185,246,232,
761,812,773,422,624,577,050,279,396,428,125,154,069,929,065,713,287,951,960,
543,136,316,166,813,735,440,874,477,921,371,157,603,246,023,908,525,432,635,
406,448,837,680,081,973,694,739,676,521,341,107,077,706,348,945,353,276,577,
982,095,386,100,476,976,581,656,909,186,656,424,689,569,884,334,795,603,766,
875,698,278,142,998,798,976,112,601,667,759,293,117,254,871,692,179,070,397,
819,213,760,227,560,089,565,146,469,786,632,194,110,103,087,718,696,760,049,
852,229,889,081,206,101,658,379,140,044,854,851,529,909,417,050,594,346,671,
653,847,234,760,095,504,730,523,980,634,353,855,910,584,524,930,451,475,306,
067,105,380,179,601,405,043,130,620,761,936,338,390,184,936,135,456,141,031,
837,182,758,580,067,671,775,322,594,074,321,202,163,125,109,044,617,296,247,
003,950,778,062,313,042,127,572,573,999,790,897,677,814,990,656,960,107,412,
707,560,607,049,214,141,486,470,570,647,417,305,190,847,124,046,807,693,230,
289,459,301,181,160,742,938,249,325,233,387,051,251,384,373,391,543,780,907,
544,079,532,910,527,567,222,245,238,566,704,650,969,472,691,705,364,267,141,
130,445,418,864,098,448,114,920,713,500,819,640,877,949,980,696,661,705,607,
544,767,861,343,512,006,170,173,996,309,212,256,074,252,252,888,759,626,667,
363,699,841,307,531,376,501,658,448,938,477,815,197,241,790,037,926,385,686,
449,671,800,873,956,472,677,415,563,553,459,242,209,932,373,668,066,177,795,
919,298,578,508,219,731,442,020,930,245,568,917,839,348,055,333,952,836,628,
269,843,679,831,801,749,636,187,319,207,065,950,185,625,702,182,401,413,080,
642,426,281,802,666,861,471,880,715,556,707,211,893,277,799,351,011,927,736,
107,831,266,835,732,312,932,036,605,655,447,115,473,472,235,632,718,089,004,
941,751,819,459,146,926,186,671,842,089,125,235,600,797,466,232,478,862,987,
496,601,835,624,067,653,836,379,805,089,329,902,902,060,880,712,961,631,406,
990,110,447,799,629,377,451,317,900,396,674,806,670,489,565,418,045,162,685,
723,617,348,066,708,316,777,967,096,255,259,008,145,313,602,071,453,269,769,
881,779,366,034,487,092,187,140,943,910,879,384,519,249,564,012,957,206,671,
762,978,337,900,756,037,474,424,760,488,630,982,738,225,428,423,251,940,850,
415,851,625,087,931,840,961,843,530,174,735,114,042,451,731,944,946,143,438,
125,569,035,598,426,184,144,286,492,908,061,998,318,684,408,712,223,109,189,
537,879,374,395,806,601,187,193,809,597,696,836,775,687,661,947,791,347,137,
031,213,118,005,528,741,271,039,393,240,845,234,951,368,863,666,240,504,357,
391,549,378,570,894,028,903,222,457,277,106,755,405,439,209,553,693,084,552,
227,009,494,612,036,834,824,565,750,443,431,438,102,623,150,313,040,533,984,
809,788,582,474,280,184,720,748,908,591,207,608,216,238,340,199,746,634,956,
834,864,503,744,652,736,543,861,879,492,540,835,574,005,630,556,967,803,315,
747,311,511,765,171,841,393,465,953,993,711,435,319,634,736,163,792,230,737,
113,970,188,652,926,824,858,645,922,144,241,205,706,393,948,832,503,838,835,
043,119,673,591,810,763,431,658,344,405,052,166,442,403,592,840,419,584,980,
533,529,396,836,459,143,697,180,815,163,280,537,293,607,908,527,846,632,583,
543,272,072,305,210,072,503,911,076,669,102,751,961,827,859,026,014,121,447,
088,484,283,675,357,561,657,813,497,770,445,735,872,368,459,030,014,483,728,
154,837,191,534,302,317,724,691,826,313,919,090,438,295,566,547,528,502,089,
001,238,050,267,714,852,787,993,927,182,777,075,996,072,795,870,925,852,163,
065,024,293,575,745,758,264,221,789,323,876,296,233,240,506,123,506,111,078,
559,333,639,777,675,387,104,181,719,999,092,318,583,314,375,477,324,645,943,
671,113,401,510,903,988,844,302,599,286,525,150,297,596,723,624,389,108,827,
858,188,304,266,884,738,090,856,483,542,041,592,551,369,182,431,782,921,081,
827,725,692,335,204,739,490,067,826,867,129,939,306,760,988,160,664,197,306,
653,026,661,187,558,948,434,317,934,838,186,551,496,972,041,367,870,708,301,
530,523,642,000,797,694,365,465,303,618,706,496,674,742,652,282,859,633,267,
912,701,662,178,358,840,080,863,387,368,213,991,850,466,095,267,655,070,635,
442,482,286,491,331,215,965,890,879,021,043,315,402,872,835,132,609,902,608,
020,199,717,251,246,193,452,697,674,706,974,513,448,379,779,728,232,271,701,
140,005,697,149,016,291,335,007,415,305,417,746,478,283,720,089,642,232,012,
584,597,471,885,657,855,930,876,427,410,668,005,678,581,636,159,616,752,672,
110,481,350,383,972,237,856,350,849,317,627,056,259,544,249,781,503,939,337,
474,318,701,080,177,509,898,440,943,883,366,719,096,671,311,596,904,311,499,
072,987,577,521,543,743,881,109,450,712,712,131,985,130,837,028,266,559,817,
767,299,149,163,419,178,930,122,744,670,022,197,365,754,971,499,092,715,139,
223,877,174,025,996,216,138,741,085,725,558,948,887,960,465,689,853,898,053,
087,551,739,798,743,209,844,381,527,072,779,868,599,605,419,765,772,334,930,
373,413,605,473,608,700,730,809,298,091,185,477,578,752,459,557,141,482,219,
415,330,593,684,262,910,701,851,111,604,684,230,381,655,131,219,974,620,589,
288,664,302,579,713,045,061,386,676,183,940,123,681,252,250,916,691,421,339,
509,091,183,702,501,774,791,732,784,468,447,259,064,034,754,449,765,433,325,
352,910,644,565,356,154,306,257,936,281,012,146,638,973,117,333,390,364,323,
181,223,936,517,355,602,282,886,053,601,333,100,883,181,789,045,700,025,750,
347,545,605,569,109,122,304,300,884,048,550,848,846,973,275,871,418,735,761,
089,908,392,218,895,369,700,359,078,150,455,833,058,318,389,405,050,121,334,
510,550,240,895,566,143,071,912,468,157,803,645,941,629,272,406,887,217,852,
680,780,161,262,073,137,478,837,895,156,701,265,188,935,001,219,486,089,954,
865,990,414,233,277,040,232,916,278,893,135,468,908,251,233,021,514,105,628,
417,103,820,570,860,416,504,334,903,149,394,323,911,315,052,124,466,183,150,
843,921,593,462,370,747,827,242,517,179,411,228,399,850,970,456,341,363,247,
345,283,353,798,551,009,730,692,181,752,007,228,153,637,543,179,890,485,803,
391,192,955,987,899,526,251,159,790,413,566,549,828,107,469,047,538,107,434,
569,931,118,685,204,113,358,664,169,367,733,795,089,978,518,878,282,084,915,
518,512,922,608,269,124,622,322,242,586,134,954,004,738,915,007,116,392,580,
141,466,103,726,294,200,868,136,960,570,707,150,585,329,401,906,135,547,281,
101,123,428,150,235,061,729,989,039,657,794,546,340,223,031,061,744,851,180,
498,658,228,569,927,125,346,862,521,196,066,375,169,213,916,167,456,297,428,
584,925,892,544,298,991,482,517,038,686,577,284,356,816,818,972,251,269,747,
462,401,324,883,416,980,839,278,959,988,807,492,002,610,527,347,261,027,730,
493,779,255,834,968,861,081,680,621,089,990,926,738,612,201,847,558,206,744,
545,067,585,470,021,771,060,471,181,888,129,259,603,078,438,862,060,272,343,
202,173,696,239,808,605,640,253,856,783,525,497,244,661,325,581,876,667,570,
927,701,761,105,547,019,940,313,939,685,899,964,535,888,988,230,269,517,630,
997,160,298,438,920,369,273,394,671,146,140,454,761,098,358,386,368,789,023,
456,584,950,598,346,220,137,093,046,443,931,031,719,278,177,891,320,769,794,
063,790,853,163,214,370,094,613,905,763,514,066,565,666,571,113,416,520,090,
687,743,124,032,851,356,767,968,774,014,348,569,177,021,680,598,973,030,014,
223,320,547,716,655,684,975,752,988,101,020,635,653,825,467,088,705,699,816,
404,740,292,121,908,309,045,699,543,585,305,016,012,945,962,940,533,048,407,
627,299,757,014,450,261,434,817,389,864,298,915,424,397,284,913,958,973,390,
832,396,331,726,972,669,791,855,108,854,437,824,950,256,741,036,096,793,310,
639,933,937,600,993,826,329,180,555,557,060,767,717,101,749,498,749,293,145,
347,874,786,201,532,754,038,010,502,698,176,071,957,392,665,156,252,087,438,
490,821,193,150,793,272,631,498,992,984,815,541,431,054,910,266,062,027,658,
796,316,662,173,656,273,317,551,298,723,371,772,802,165,347,901,915,914,120,
488,301,047,292,160,636,358,247,147,740,779,741,802,985,654,896,222,254,888,
051,861,216,196,372,198,762,311,306,580,076,971,208,057,758,134,706,459,598,
595,035,186,748,392,037,285,282,062,014,350,422,158,597,722,473,688,328,493,
017,077,075,732,562,565,212,147,354,582,328,645,143,486,087,559,804,930,469,
398,816,999,654,438,595,393,512,190,381,247,306,756,395,574,326,834,277,583,
041,681,022,360,091,857,186,311,206,239,736,847,542,588,764,653,526,886,808,
936,569,070,991,927,331,101,092,638,727,195,683,533,355,480,164,965,336,983,
753,297,282,125,427,041,254,577,386,000,753,059,412,439,172,583,295,581,948,
241,034,404,433,848,915,182,929,465,267,740,197,487,801,546,655,995,996,080,
037,297,311,913,782,322,908,609,059,626,985,884,994,272,401,698,348,268,004,
011,593,691,883,002,612,780,637,659,663,429,539,473,978,084,505,976,750,443,
474,940,614,870,333,772,080,949,811,220,584,750,786,698,112,737,946,661,482,
976,744,007,773,383,747,889,486,473,523,106,280,468,334,305,892,935,961,371,
178,533,253,872,281,994,068,717,417,796,787,588,928,570,902,585,782,408,026,
264,834,281,688,642,749,800,733,841,245,045,562,057,543,755,687,508,531,382,
554,923,331,561,184,603,815,805,980,988,723,288,132,284,703,168,139,108,257,
607,683,355,102,455,730,184,318,099,207,175,115,060,892,715,869,384,486,634,
428,331,651,082,087,231,218,930,525,443,004,025,436,856,814,203,537,498,088,
931,136,074,570,084,283,591,690,737,625,062,112,995,363,383,502,327,354,725,
459,253,753,043,715,426,793,269,605,783,054,805,316,499,693,017,899,708,437,
039,790,432,774,735,355,602,707,244,734,757,109,715,098,023,015,908,876,915,
416,214,174,954,952,398,601,736,047,133,291,284,770,288,222,717,768,612,311,
377,009,386,632,678,331,594,555,983,875,522,536,005,181,106,381,188,898,380,
363,762,102,007,049,765,472,716,225,937,777,637,943,001,177,138,746,238,247,
840,438,555,452,940,065,702,946,669,608,614,447,227,994,157,077,424,472,771,
672,033,975,754,569,915,849,147,872,186,423,676,699,652,969,957,116,887,802,
043,014,995,578,352,160,512,528,315,749,532,140,148,040,888,898,295,314,299,
630,721,086,390,652,804,386,542,125,389,394,907,116,943,767,275,016,413,169,
964,508,045,313,707,696,217,781,164,770,376,358,322,595,495,904,962,245,750,
113,797,512,310,892,427,113,567,556,859,220,557,907,859,576,802,314,386,355,
329,933,458,980,191,305,104,933,881,350,916,683,956,777,433,599,227,030,583,
779,160,517,211,443,375,950,362,080,339,653,476,284,338,387,320,622,686,030,
022,237,625,244,848,142,253,544,341,010,354,790,518,497,731,924,321,762,616,
441,895,994,560,427,844,110,327,019,237,680,058,074,466,501,455,817,983,435,
731,172,291,863,498,250,474,680,227,617,056,410,348,831,250,767,985,229,587,
002,654,913,867,161,370,248,985,538,794,767,995,172,387,754,259,795,736,139,
174,133,135,680,552,686,145,662,085,225,039,230,004,052,671,850,036,866,712,
764,713,938,136,632,527,034,623,825,080,254,422,731,713,593,675,708,942,985,
740,291,302,768,851,028,801,270,422,238,243,764,855,875,775,315,263,160,193,
564,603,515,876,145,738,770,147,958,896,112,295,815,366,203,961,068,394,432,
221,580,800,746,438,006,426,933,532,105,976,517,281,122,419,826,552,181,818,
834,128,652,687,289,204,781,150,448,277,204,716,574,068,675,782,066,176,302,
840,160,784,114,346,964,190,172,993,416,820,143,877,657,011,150,030,430,546,
169,385,864,515,245,597,485,807,097,271,701,465,726,375,370,424,188,759,015,
158,470,965,982,091,210,902,003,000,146,548,895,444,993,130,923,778,116,586,
211,089,800,163,531,756,135,721,796,282,404,630,744,950,470,853,996,414,750,
496,653,755,640,039,419,062,729,775,930,151,553,041,965,678,377,764,182,541,
729,699,120,577,826,673,238,819,161,323,937,564,146,152,039,933,252,782,603,
321,926,896,539,975,713,303,801,910,097,976,128,428,379,411,627,805,459,080,
197,618,713,853,367,570,880,837,511,660,305,299,094,943,450,154,867,205,609,
089,640,941,990,492,196,701,852,437,069,998,050,071,220,897,542,349,540,304,
364,606,661,305,205,864,220,907,235,331,493,847,729,478,166,685,775,470,227,
026,914,786,464,577,713,537,336,887,233,435,755,698,253,011,798,214,441,234,
585,123,123,650,357,391,868,268,773,910,884,735,158,223,975,438,398,957,187,
182,707,164,079,943,053,929,786,949,862,650,476,581,024,288,676,329,427,211,
827,208,606,806,681,199,396,448,486,737,016,053,026,158,756,448,370,575,607,
041,966,549,785,294,148,052,592,977,408,041,139,123,010,186,838,458,389,803,
090,181,836,007,295,037,724,733,770,335,873,339,268,161,197,272,542,174,840,
759,673,355,953,216,410,762,462,834,183,522,462,633,176,884,597,624,484,710,
082,777,620,884,139,641,385,951,893,568,506,703,076,119,111,237,036,492,184,
569,285,726,680,211,374,479,000,833,826,031,802,058,540,529,430,919,065,711,
914,173,754,989,342,918,080,725,249,689,717,157,472,400,123,214,803,150,945,
590,439,970,965,046,341,533,909,104,119,730,885,933,738,438,907,866,162,833,
494,479,080,651,694,823,477,878,952,117,482,512,127,873,388,498,171,909,946,
284,351,245,660,892,157,921,313,540,322,439,887,391,931,672,502,510,100,822,
890,714,684,150,702,528,043,364,364,031,171,691,204,020,006,645,417,031,117,
655,579,620,004,563,033,963,777,347,646,470,718,528,849,749,947,917,977,089,
160,747,551,742,463,284,095,246,215,889,477,790,102,107,583,881,962,471,128,
484,587,689,122,239,303,608,481,009,415,044,163,899,021,621,963,365,946,927,
459,109,363,256,070,925,172,184,181,898,233,123,244,029,684,414,459,873,025,
839,936,579,757,614,066,079,292,557,485,416,020,322,686,110,952,269,828,304,
814,537,807,704,772,439,876,315,263,037,292,305,483,088,202,281,522,843,622,
736,093,704,081,839,047,532,492,016,703,340,897,905,535,677,695,299,929,280,
161,593,712,196,759,153,402,761,195,050,905,862,789,142,722,620,173,294,620,
405,642,494,503,042,361,150,476,012,207,363,941,790,700,835,072,435,642,443,
682,231,733,915,595,588,653,397,508,668,255,238,302,513,107,785,653,775,941,
224,719,291,248,930,396,855,414,565,515,143,798,891,670,408,373,803,015,127,
299,082,503,378,589,977,874,367,201,643,560,510,744,092,360,188,912,266,840,
144,389,594,830,566,903,483,385,596,196,181,786,387,625,124,614,602,647,684,
759,039,279,325,946,587,257,838,372,909,955,786,878,589,688,158,328,934,952,
529,814,265,018,811,624,520,166,106,607,008,206,131,109,701,566,282,409,218,
601,646,928,151,297,950,377,067,134,525,147,600,105,535,781,520,713,523,109,
404,808,077,399,308,520,115,216,335,971,547,436,443,981,544,755,252,999,144,
787,190,772,834,208,551,326,702,629,515,809,429,937,387,450,358,565,884,531,
786,548,649,941,815,712,183,714,435,973,276,153,819,076,463,372,093,014,958,
697,874,433,333,620,121,637,438,419,250,959,446,947,725,760,423,251,272,208,
671,480,861,750,062,257,365,259,774,018,238,186,867,769,134,139,491,929,428,
910,086,195,817,649,959,566,016,240,943,286,995,751,990,998,670,578,206,372,
031,285,777,675,040,031,524,120,644,507,278,077,141,158,587,314,114,532,835,
215,062,538,007,977,269,902,653,348,615,460,436,623,871,881,671,650,763,282,
535,321,507,539,374,480,166,442,424,882,593,474,982,691,577,905,864,567,863,
122,717,482,988,122,365,121,944,581,380,167,280,728,133,995,602,928,743,507,
174,562,971,871,462,793,469,949,879,354,466,184,474,136,353,258,350,327,509,
064,623,013,408,518,171,080,596,220,143,747,407,635,846,271,715,718,126,861,
610,753,902,382,669,361,579,383,254,025,467,410,735,810,870,027,489,076,404,
396,563,721,523,068,657,064,322,310,660,481,384,371,808,138,385,799,596,530,
093,735,013,525,584,286,787,627,353,852,054,430,146,159,090,692,927,278,007,
990,952,094,550,370,800,099,156,405,725,138,835,096,435,480,774,454,756,659,
408,765,583,356,074,291,968,942,101,679,118,116,853,270,572,566,140,878,392,
487,536,019,868,267,681,222,909,258,245,832,487,081,230,045,102,284,340,261,
219,129,720,308,733,898,384,974,098,950,709,231,601,972,679,142,458,108,069,
970,949,840,270,715,990,362,760,244,649,067,975,761,023,109,543,480,904,151,
955,840,732,867,528,228,365,135,864,732,657,662,759,603,584,616,943,809,129,
109,805,063,784,877,842,246,228,093,431,738,083,844,542,528,501,277,211,101,
516,216,990,841,209,681,217,356,176,976,158,730,041,693,957,724,538,147,740,
601,559,773,155,675,680,467,864,522,968,672,900,793,668,323,139,670,443,569,
132,428,468,952,327,076,744,750,221,129,135,610,788,205,287,038,394,254,210,
394,807,965,307,720,737,058,555,535,448,348,859,894,162,178,812,991,514,525,
311,398,294,541,183,626,155,619,123,568,003,391,148,694,511,461,222,613,671,
509,695,709,518,586,473,547,443,764,981,142,244,315,994,936,474,982,779,597,
634,159,942,975,606,240,384,977,046,657,186,595,504,829,618,144,552,678,295,
089,299,389,251,555,849,445,515,491,345,613,481,496,304,301,380,827,017,279,
775,167,871,226,367,400,506,121,494,306,079,835,640,717,202,005,441,520,216,
601,778,945,865,292,343,689,578,542,756,617,223,388,397,293,658,209,729,740,
709,245,556,648,700,619,301,261,610,970,145,770,375,027,729,552,160,730,339,
967,745,127,161,260,778,056,399,620,126,289,999,785,275,532,258,344,803,254,
620,359,989,539,486,384,652,089,910,276,379,293,718,268,027,624,117,355,852,
004,900,042,338,572,067,533,026,695,156,305,111,416,544,710,116,671,921,618,
621,408,471,631,172,881,762,143,456,494,106,293,474,017,483,982,420,222,203,
091,305,257,517,229,997,041,559,877,885,435,942,772,590,179,906,447,036,523,
496,112,298,465,634,453,602,546,383,938,114,264,107,287,819,778,159,814,028,
671,923,856,137,695,553,438,612,946,140,788,815,194,763,760,298,723,140,025,
995,806,466,397,956,984,876,111,700,069,337,400,042,323,187,379,069,252,169,
104,522,153,663,776,726,523,248,762,429,434,006,662,510,630,133,683,280,964,
772,875,567,253,742,218,883,185,464,791,356,216,966,296,726,686,289,383,303,
434,906,787,344,174,138,800,856,369,463,817,743,068,848,494,654,791,378,900,
552,994,342,543,470,237,121,961,323,194,750,859,410,118,776,742,975,348,011,
771,769,612,496,182,974,741,999,286,286,342,009,023,449,678,544,121,745,181,
301,826,692,442,389,116,198,825,437,300,296,756,821,645,965,456,959,586,248,
286,785,580,681,803,137,730,915,906,551,221,146,668,606,596,685,936,951,949,
737,493,445,521,443,023,829,138,625,465,982,943,327,734,699,706,433,103,333,
661,172,289,477,015,074,879,006,652,047,997,491,737,122,120,200,924,686,828,
247,997,717,384,020,713,911,263,080,721,979,403,395,545,642,503,971,377,708,
794,485,170,604,977,233,789,010,252,685,248,515,598,504,447,267,777,933,712,
310,628,568,377,954,172,153,692,429,389,966,682,048,471,030,100,704,641,348,
515,379,587,152,188,683,706,330,573,096,914,972,187,509,002,888,111,446,462,
012,059,974,156,104,702,968,321,661,779,076,241,517,447,412,027,668,864,926,
380,396,516,754,307,036,473,943,794,470,528,754,069,578,217,486,733,906,068,
314,578,148,042,298,596,335,496,207,352,728,542,741,965,297,450,478,994,953,
478,905,447,962,162,366,642,397,129,666,939,615,039,687,333,196,697,324,667,
452,228,395,657,225,315,539,328,010,937,605,151,136,365,218,824,072,677,720,
378,930,944,609,567,498,512,722,863,805,436,847,216,035,966,315,694,564,616,
726,311,037,038,546,096,621,936,377,302,175,598,045,473,624,903,055,900,603,
503,593,213,355,192,946,201,503,381,571,860,079,607,555,025,660,283,033,912,
120,013,604,510,780,352,191,490,830,384,918,801,668,931,936,150,765,734,736,
957,600,747,313,171,527,343,850,298,016,592,946,574,274,542,914,322,003,799,
387,671,328,152,550,121,619,673,617,514,979,728,187,148,221,285,961,849,863,
434,039,351,866,243,355,671,340,000,980,460,095,780,071,448,143,271,134,650,
288,983,931,855,696,461,408,945,129,477,365,212,395,663,031,217,526,714,331,
762,725,113,594,170,426,346,056,828,557,672,444,790,008,449,711,700,349,954,
735,934,220,550,746,600,862,192,371,159,321,271,497,742,049,163,377,972,607,
895,620,527,422,101,922,232,150,781,752,772,458,936,910,324,904,082,760,711,
592,276,193,979,362,403,476,484,107,906,652,943,680,095,387,497,587,337,968,
745,794,870,895,505,813,914,205,788,282,921,812,119,894,382,121,143,793,092,
143,854,919,371,265,747,247,969,436,868,171,550,081,279,086,910,984,706,641,
703,697,022,019,597,194,645,361,859,961,213,388,017,325,282,445,931,241,477,
989,643,001,293,222,816,523,315,794,933,829,220,940,125,118,034,060,223,060,
684,698,462,214,934,486,305,349,475,471,706,394,512,669,011,675,275,384,445,
912,196,448,237,243,193,194,934,990,580,012,877,456,661,591,467,062,281,293,
195,819,797,479,063,878,262,098,934,472,109,352,362,294,813,204,582,981,568,
461,656,325,460,407,387,249,683,036,547,951,295,603,831,301,932,209,596,624,
032,238,436,115,861,583,897,144,630,499,903,198,933,821,917,372,454,586,469,
560,411,595,119,722,032,272,954,625,646,802,538,182,995,072,979,209,672,004,
133,212,578,873,971,935,014,642,337,161,672,974,790,493,245,360,404,386,365,
415,225,345,620,990,581,845,063,962,932,970,027,618,564,588,036,945,294,399,
796,321,344,734,689,499,371,526,453,619,491,247,961,150,096,289,906,240,657,
906,453,016,242,777,686,469,683,365,915,040,757,552,402,124,927,899,906,440,
095,888,760,854,459,200,304,750,596,097,182,136,682,953,933,855,868,570,346,
128,106,999,408,437,607,627,927,014,945,260,857,661,886,274,737,709,505,230,
695,443,559,657,109,741,134,011,979,919,992,264,278,939,546,784,577,279,545,
802,214,222,943,269,518,048,351,176,695,415,857,933,757,212,876,567,767,869,
373,217,715,548,581,363,069,250,214,731,008,850,311,074,393,474,149,013,177,
847,922,396,457,339,586,511,287,165,800,737,607,885,753,293,907,339,102,317,
042,018,607,364,345,681,388,557,592,120,708,445,274,928,614,129,297,816,710,
748,046,356,829,182,350,110,404,879,181,894,493,831,267,511,299,443,130,794,
921,668,930,428,695,960,969,085,211,350,052,604,837,905,280,208,819,440,500,
571,711,771,410,197,845,451,670,417,398,581,775,186,723,022,788,341,491,921,
961,218,478,090,959,143,180,088,869,819,429,781,511,804,542,452,832,726,683,
484,506,731,370,283,302,893,215,289,288,975,756,121,370,433,691,363,191,235,
424,136,066,162,276,312,649,505,898,575,589,141,372,579,218,605,026,265,112,
322,863,408,582,790,904,167,950,553,701,530,196,027,816,120,321,600,515,434,
266,922,171,131,518,310,062,060,743,143,009,507,591,193,540,704,603,362,929,
980,008,279,150,888,362,125,570,884,121,505,079,754,219,747,245,543,567,233,
601,366,265,299,628,108,342,085,957,953,576,172,708,689,760,807,956,478,478,
484,330,950,706,629,184,510,915,457,494,736,265,847,770,541,121,865,307,692,
271,369,530,613,086,606,570,751,873,737,109,866,361,425,889,678,319,512,181,
053,600,886,640,485,147,626,876,279,899,162,991,062,626,017,390,261,872,798,
367,110,860,058,956,852,570,483,281,975,710,826,931,935,928,217,019,395,130,
948,649,659,977,946,056,888,249,895,743,643,104,389,368,899,360,102,743,723,
101,001,388,702,994,355,976,801,436,629,673,389,992,731,384,211,108,722,507,
326,591,666,671,533,842,074,590,973,566,007,081,327,217,501,132,313,206,771,
630,147,774,419,286,490,470,172,664,130,968,217,380,870,097,231,932,803,296,
404,501,094,823,692,098,553,700,074,517,514,442,417,866,098,464,171,846,867,
169,177,201,794,133,780,857,411,245,920,765,493,824,356,369,195,865,198,938,
743,522,072,526,854,141,756,349,584,686,410,536,448,219,179,092,209,283,507,
063,958,388,552,692,700,658,841,521,585,647,747,247,109,581,404,535,004,263,
393,939,334,895,351,224,339,794,029,512,439,979,896,052,413,473,565,469,855,
752,081,813,096,137,783,073,355,135,074,045,170,905,849,349,012,137,526,648,
027,844,749,895,157,411,506,343,600,480,498,326,469,908,612,713,821,513,572,
685,618,876,996,064,255,906,187,903,929,840,181,349,582,644,841,235,675,212,
524,654,117,952,245,897,912,677,540,312,557,568,775,005,119,531,835,670,059,
435,859,850,371,280,300,810,350,012,742,141,121,481,312,280,245,645,710,132,
805,337,551,643,359,006,523,464,836,712,907,403,156,911,765,837,179,909,558,
756,562,927,380,828,186,603,573,194,594,592,473,355,766,209,600,415,082,749,
120,050,543,693,210,698,031,971,094,080,166,730,725,208,606,663,063,566,811,
376,963,176,158,478,690,564,318,863,606,920,575,839,007,268,816,324,638,999,
698,739,838,337,233,511,211,335,823,300,286,070,868,511,263,203,033,669,338,
062,312,777,915,489,537,947,253,901,275,232,468,062,518,943,042,487,611,860,
683,949,236,306,957,546,160,434,825,733,258,552,840,635,492,518,916,490,260,
815,413,228,097,801,971,882,686,480,562,376,737,383,551,804,658,382,154,179,
037,596,273,160,907,038,132,806,097,059,084,378,510,448,975,010,289,419,932,
533,071,652,770,237,872,466,794,920,736,615,461,528,187,672,793,018,502,763,
494,565,139,326,226,017,435,954,030,686,178,101,882,521,747,505,638,814,106,
319,446,556,848,433,543,703,977,116,718,114,214,030,568,230,594,986,068,335,
494,416,475,858,999,635,318,955,915,356,426,094,419,706,580,486,883,272,018,
004,805,357,147,859,456,644,629,715,387,500,070,156,573,951,482,982,273,671,
339,212,776,788,862,923,935,421,790,576,592,673,947,034,434,812,051,471,282,
871,529,793,776,275,095,511,495,604,306,861,771,634,538,478,866,972,316,582,
937,872,740,504,169,201,415,682,360,312,483,115,838,044,203,942,286,730,330,
870,612,133,542,646,067,639,387,127,100,949,740,426,804,413,966,108,559,511,
091,797,250,461,106,866,415,320,158,369,260,674,263,847,341,724,836,668,549,
898,201,489,147,015,150,912,645,032,528,482,018,413,157,709,124,192,074,964,
580,340,944,371,504,150,594,711,670,769,399,650,653,068,683,930,983,090,843,
713,091,662,184,097,122,264,338,993,524,156,809,847,365,607,186,189,462,536,
358,425,442,352,236,114,442,372,815,109,493,350,118,848,055,711,913,452,572,
174,932,105,459,507,753,841,860,552,746,171,882,332,100,723,700,404,554,894,
768,036,568,392,670,082,543,126,686,797,236,175,725,110,340,994,583,935,629,
204,027,047,132,556,759,417,346,744,218,354,345,949,886,627,099,163,367,696,
629,061,885,290,989,198,928,060,494,744,173,976,260,836,713,648,213,663,676,
566,242,344,180,516,953,525,732,045,112,187,526,293,207,601,837,767,568,604,
284,173,963,835,936,945,899,139,797,083,421,235,401,648,617,772,823,867,388,
842,461,599,747,265,251,561,628,272,291,388,806,025,167,948,741,508,453,633,
243,149,002,903,557,428,726,573,955,986,348,678,806,646,102,166,461,243,252,
103,772,533,884,822,927,690,306,281,201,776,762,235,412,455,921,616,959,352,
776,698,143,415,667,758,725,887,550,702,028,246,338,772,614,413,128,929,625,
698,991,030,468,262,567,129,429,023,445,372,769,283,567,187,070,567,965,253,
539,504,051,082,079,381,903,261,388,203,785,717,750,522,347,369,021,580,143,
146,128,335,640,646,165,576,796,514,488,980,534,421,834,480,074,935,621,530,
086,025,642,178,400,306,683,630,667,857,835,545,339,200,666,053,548,707,942,
534,717,347,880,759,262,279,852,561,125,807,146,773,131,303,680,686,050,484,
412,233,258,427,143,845,879,108,782,031,356,144,133,008,644,363,632,909,562,
158,314,740,784,075,611,255,733,686,589,272,599,773,334,242,104,487,677,165,
745,823,328,687,197,815,351,846,220,920,533,215,250,820,522,382,376,445,465,
896,080,359,210,848,413,356,625,327,645,492,977,764,343,486,870,783,525,196,
817,498,481,224,832,622,005,120,683,708,018,641,834,839,328,116,877,534,546,
024,282,952,699,093,605,277,823,726,330,772,229,371,951,779,519,705,438,015,
850,477,045,573,986,991,704,968,680,843,637,686,069,180,167,681,795,416,191,
355,293,203,484,227,225,813,212,935,338,071,429,299,329,739,872,542,086,511,
244,471,866,397,983,944,212,360,682,630,171,892,912,080,694,171,617,947,663,
068,995,091,914,090,604,450,399,056,451,152,667,886,469,456,985,500,829,016,
987,433,615,443,482,852,014,856,252,748,833,713,001,917,841,493,387,299,024,
378,724,263,816,581,389,042,203,657,494,802,357,482,084,515,447,389,706,065,
325,600,537,860,157,460,164,065,326,317,003,782,265,400,394,475,384,764,924,
102,308,353,506,114,210,316,660,036,907,360,459,209,192,283,906,436,871,573,
216,374,580,909,849,192,144,785,497,027,145,042,891,475,044,370,937,983,953,
236,009,982,931,036,895,662,960,901,608,601,901,832,214,674,822,069,656,129,
182,991,745,532,412,171,483,006,798,754,686,147,378,806,130,970,065,886,316,
815,582,685,061,971,013,254,804,950,933,033,417,216,527,307,678,254,371,158,
435,565,509,168,288,415,695,826,837,354,305,781,260,932,962,602,407,797,534,
661,964,247,043,798,149,452,998,302,332,708,222,448,078,116,282,426,618,178,
119,294,744,242,994,843,290,441,371,049,182,822,537,747,013,794,364,960,511,
809,968,136,710,296,894,082,591,209,240,388,531,526,407,885,957,614,431,870,
117,875,147,716,096,023,746,008,315,954,174,291,451,801,314,819,472,356,156,
256,761,846,599,714,798,601,300,470,893,291,206,832,756,444,436,476,324,074,
963,900,451,104,612,329,238,794,359,869,463,309,060,421,192,200,865,676,263,
662,519,951,805,568,846,117,459,368,917,376,736,068,126,065,305,250,075,410,
173,807,545,696,723,467,287,363,786,513,153,541,083,586,512,824,381,037,400,
068,160,617,144,119,621,133,581,599,547,099,283,197,461,549,319,358,288,448,
149,221,476,199,813,918,149,211,066,983,058,046,036,594,807,440,134,706,491,
665,190,504,528,303,882,675,641,130,212,952,169,404,899,538,290,251,841,510,
761,939,287,535,029,418,917,036,314,547,600,060,029,147,772,601,077,224,139,
555,814,938,561,390,711,753,532,934,457,779,817,554,888,166,551,226,367,312,
609,916,813,485,314,086,163,748,969,169,543,538,848,463,482,817,117,425,735,
533,569,502,548,835,648,504,705,730,891,256,682,725,021,432,558,506,339,389,
415,128,344,967,601,160,158,964,085,101,724,534,304,055,768,701,245,716,721,
914,956,394,202,913,880,635,984,814,379,874,883,326,706,923,317,746,265,537,
483,287,299,508,277,804,901,427,980,120,777,851,840,380,866,323,108,984,413,
017,219,058,944,725,648,197,147,848,622,044,489,318,798,135,704,541,387,548,
594,752,465,940,776,240,990,880,535,701,939,457,455,150,250,717,010,931,990,
177,641,561,962,133,885,523,545,016,197,714,147,434,758,850,217,099,787,573,
871,981,156,414,962,754,081,560,802,558,285,107,973,954,678,545,239,027,045,
485,096,752,831,622,239,713,621,014,155,319,609,088,488,841,030,341,723,012,
481,615,239,267,791,910,095,215,640,039,252,365,230,481,320,194,130,432,756,
331,405,991,883,586,012,994,616,284,743,324,585,316,076,381,081,171,280,881,
015,572,467,598,188,031,655,759,698,532,415,498,157,171,221,680,593,070,185,
454,264,076,905,006,452,626,458,176,227,850,012,601,900,199,813,455,778,379,
280,526,323,979,755,320,034,974,843,082,241,089,787,750,403,839,012,242,058,
607,476,466,148,922,794,955,339,359,474,110,869,453,663,237,831,925,275,263,
308,436,751,364,314,495,816,009,856,483,757,115,452,675,629,174,363,258,383,
174,883,353,597,783,510,778,779,239,156,772,687,520,818,979,603,147,589,434,
942,411,038,835,261,878,179,151,517,366,095,384,766,635,250,227,725,210,842,
690,710,169,645,966,318,901,057,850,015,735,888,786,091,985,201,220,763,253,
252,569,996,366,526,192,511,475,066,740,884,080,737,272,801,914,164,015,933,
822,452,931,239,394,625,644,123,350,105,853,736,521,873,789,941,177,972,705,
456,769,294,698,987,975,797,563,075,580,696,583,384,634,423,107,508,816,406,
659,022,028,525,195,805,494,410,240,842,422,846,252,773,744,661,115,635,491,
888,239,116,251,110,751,474,957,171,835,376,247,371,915,700,655,844,860,091,
619,528,809,371,059,685,671,648,029,906,236,691,184,607,171,309,399,041,413,
264,046,796,531,944,528,821,343,773,456,708,946,645,944,982,991,020,113,269,
980,037,361,535,635,608,170,274,043,091,080,166,770,236,960,707,793,435,786,
852,668,413,271,632,707,257,650,951,670,330,105,477,936,979,372,581,946,001,
330,203,960,867,278,951,257,901,662,289,316,005,940,738,591,626,437,468,387,
293,814,356,552,776,670,681,601,906,468,097,420,584,221,094,518,533,164,454,
046,381,792,888,000,145,838,069,606,294,983,549,030,605,221,837,753,882,551,
072,119,789,894,454,231,860,081,911,896,964,252,980,849,299,522,702,221,366,
774,123,576,416,625,792,948,846,152,960,339,315,389,825,608,587,110,902,598,
327,910,004,320,262,026,291,712,149,669,987,891,313,083,054,394,368,815,888,
594,390,455,680,628,319,544,551,973,632,099,987,960,546,325,258,024,978,365,
708,827,888,087,118,306,669,084,198,249,617,216,875,122,052,819,074,691,203,
520,993,588,934,207,314,055,653,875,932,459,523,341,590,568,658,580,610,376,
090,366,958,847,403,333,737,742,312,788,650,775,546,377,264,227,937,262,976,
317,072,798,321,798,460,115,752,306,871,468,259,531,685,708,102,199,720,663,
837,338,453,930,670,325,243,798,007,349,814,358,205,559,208,823,884,610,760,
285,961,845,424,491,910,072,810,745,027,132,341,963,591,903,099,755,099,085,
309,855,231,301,429,798,590,759,602,244,478,702,154,236,503,555,496,849,803,
088,462,223,936,180,313,658,174,474,641,147,289,756,750,087,135,372,375,846,
382,247,676,510,680,845,572,310,816,650,168,381,474,432,997,740,334,868,424,
599,687,030,859,387,719,946,499,459,834,821,643,990,838,457,084,047,834,861,
581,631,862,585,804,509,464,626,317,630,868,670,289,204,757,252,367,544,379,
294,716,234,713,818,312,089,526,293,840,032,404,037,191,973,842,611,464,264,
305,141,093,133,725,355,354,955,839,402,002,829,780,307,724,680,569,476,402,
167,948,744,180,493,361,281,057,936,070,428,638,220,028,610,263,364,382,465,
452,761,819,010,022,872,658,201,364,727,760,598,612,001,758,488,761,851,514,
671,591,315,603,978,061,840,658,090,823,682,920,827,399,141,663,398,379,818,
511,912,407,578,229,972,202,804,837,494,138,686,942,858,375,262,606,352,388,
440,938,384,192,688,928,646,076,612,960,929,075,090,914,985,295,690,812,770,
250,881,804,892,573,049,443,069,228,079,258,259,840,779,573,300,805,559,144,
285,587,804,013,344,132,237,970,298,243,825,452,555,066,810,229,368,998,896,
564,369,519,684,611,504,295,274,542,887,881,663,916,247,515,191,666,752,337,
613,042,326,623,971,586,539,381,792,970,365,974,096,173,502,724,235,283,517,
043,648,347,089,873,559,141,106,548,740,299,481,568,464,238,498,401,279,073,
982,043,839,435,020,921,990,143,662,132,518,314,643,407,036,782,543,802,393,
622,558,861,142,132,073,164,051,098,754,527,226,781,320,614,738,192,707,853,
286,951,930,269,025,784,138,442,867,250,869,097,961,340,272,213,034,880,112,
184,719,254,300,932,689,889,634,828,975,711,408,511,040,895,423,386,677,081,
449,462,156,390,919,161,609,832,938,160,618,371,865,886,554,301,737,884,957,
928,824,556,224,298,955,460,506,201,083,046,963,757,839,492,102,918,142,333,
400,735,219,697,451,661,998,423,364,885,282,395,521,762,081,203,162,635,112,
586,338,090,236,603,146,497,297,496,160,139,085,935,712,473,576,059,879,283,
892,538,383,834,627,834,710,017,856,454,863,166,784,049,257,745,349,764,450,
810,797,762,864,711,811,195,469,918,397,961,292,959,369,236,545,538,931,963,
107,895,965,338,538,431,717,523,155,609,054,556,249,462,938,468,007,854,073,
663,333,655,027,604,191,073,986,752,084,475,730,049,110,920,589,146,662,282,
588,332,906,305,319,716,639,370,176,215,758,485,925,929,982,177,548,798,983,
035,375,738,008,794,554,387,648,410,127,403,606,756,478,476,718,371,283,958,
399,729,519,315,230,277,551,884,772,488,037,991,094,467,589,046,113,752,634,
588,733,922,184,866,760,762,213,900,136,777,347,435,671,460,258,125,568,873,
219,639,453,754,043,076,515,682,863,347,597,252,132,801,238,889,401,611,125,
743,510,049,020,575,044,361,680,186,161,229,110,820,109,770,290,617,022,239,
164,810,187,780,157,366,208,816,709,538,880,044,021,560,279,298,029,325,047,
681,001,239,380,532,677,237,809,986,213,262,785,910,400,861,448,295,411,737,
150,289,078,457,395,616,906,662,032,184,146,138,910,913,333,224,106,455,561,
821,484,742,622,350,580,551,204,903,822,449,438,918,850,567,359,693,622,682,
151,799,316,649,924,309,437,377,641,435,832,562,359,721,665,208,756,799,890,
715,948,226,116,482,055,068,426,001,469,256,338,879,802,787,617,667,724,931,
763,150,468,023,970,828,847,067,105,827,987,976,312,315,260,487,598,161,072,
135,441,086,114,505,053,446,377,937,269,077,325,227,573,680,494,293,482,340,
053,446,596,642,527,626,944,673,071,306,225,843,194,679,749,472,797,693,409,
941,338,808,401,009,699,263,990,475,691,776,458,771,527,438,723,040,543,531,
266,859,589,080,046,105,235,640,862,237,540,627,261,581,192,240,790,979,416,
093,058,181,602,925,929,687,463,953,877,233,507,328,642,448,345,728,675,409,
166,407,427,681,622,505,354,639,219,294,675,261,053,058,268,776,586,495,040,
406,177,661,547,699,089,086,784,166,841,410,825,277,985,767,391,782,920,780,
000,742,400,988,341,355,164,872,689,033,295,722,499,658,807,258,821,210,546,
892,891,825,531,577,014,141,219,344,241,930,303,583,505,623,320,719,679,488,
145,882,008,688,033,315,083,678,659,636,247,297,956,265,927,106,176,406,296,
268,601,234,889,041,989,641,755,799,085,608,021,471,083,327,656,854,935,738,
194,560,465,964,581,475,221,223,000,964,173,366,619,027,028,243,096,058,648,
863,975,655,925,811,047,874,243,469,354,606,682,807,498,785,519,042,038,188,
276,409,373,173,774,333,585,646,106,355,861,804,829,744,475,816,056,683,966,
958,079,433,501,007,852,160,287,471,306,863,207,788,913,692,748,985,908,234,
183,576,715,538,763,381,453,865,170,948,808,504,425,810,507,986,925,435,250,
636,113,499,857,434,603,251,249,068,715,121,263,943,052,718,093,196,780,658,
674,129,234,099,993,347,158,906,935,292,553,041,182,505,938,107,561,114,617,
246,367,890,310,485,933,538,256,293,899,497,124,472,996,805,226,169,420,755,
504,596,176,927,171,939,814,717,255,550,830,927,478,521,478,620,765,718,699,
699,776,261,109,865,935,213,939,702,802,823,988,927,650,351,223,789,027,033,
904,032,093,349,251,308,125,616,998,996,115,274,738,181,104,555,762,343,811,
590,951,602,647,647,146,217,463,639,696,477,529,845,927,668,052,654,745,614,
984,495,701,596,528,112,982,875,407,596,813,665,263,690,386,817,282,509,821,
337,477,511,779,846,757,709,647,409,443,161,855,769,780,984,971,822,167,239,
643,297,031,917,490,864,678,348,823,470,395,548,122,377,357,735,888,208,158,
974,431,125,582,255,991,237,112,037,781,858,037,822,932,039,952,580,212,927,
323,305,956,877,723,557,215,400,038,490,311,407,693,204,313,429,315,426,159,
499,974,422,030,314,968,771,831,878,429,858,505,762,216,284,797,816,173,355,
155,296,936,137,352,801,114,994,978,548,229,973,582,481,003,654,734,459,658,
755,862,948,539,379,082,963,007,974,594,335,321,284,772,814,401,642,316,237,
483,463,959,451,939,505,140,135,783,265,305,242,218,359,894,993,544,424,713,
578,086,905,654,044,680,204,427,037,772,678,166,836,076,990,807,794,270,338,
142,968,454,786,023,204,673,036,884,715,425,342,908,337,408,131,549,903,545,
544,384,764,856,476,396,528,409,832,905,777,469,115,969,167,876,348,042,022,
176,695,224,348,471,410,508,987,783,249,726,897,816,931,822,184,312,939,253,
768,517,923,880,891,265,643,094,703,183,458,469,409,706,151,099,650,228,908,
751,047,116,134,962,052,732,622,957,352,028,285,216,223,912,648,743,421,946,
409,813,031,742,736,386,844,929,685,127,757,056,682,487,573,438,763,889,731,
590,475,128,891,633,380,793,735,150,278,763,313,113,412,152,762,905,039,732,
823,479,753,835,719,101,899,612,780,100,408,129,286,065,468,238,900,755,794,
838,287,563,384,179,854,411,464,422,836,733,402,367,756,115,418,019,720,323,
734,880,526,199,200,586,274,492,401,882,935,996,785,808,890,894,635,292,371,
679,611,968,353,548,810,534,570,191,562,755,436,705,635,586,801,687,613,125,
272,870,205,291,053,777,844,252,179,976,498,640,912,582,958,220,077,345,785,
790,972,143,535,261,456,946,625,870,032,765,133,239,566,389,412,934,511,702,
227,874,003,125,322,634,660,496,856,651,129,385,025,872,204,324,028,277,043,
488,145,337,821,227,386,361,498,931,618,375,886,258,114,567,738,287,320,342,
320,992,152,891,000,759,399,801,322,529,142,463,644,597,361,793,197,488,279,
416,203,179,187,299,804,015,122,321,389,965,153,867,348,019,088,358,623,651,
055,387,868,670,976,479,297,068,955,901,591,039,180,975,943,379,711,321,273,
995,091,317,283,168,159,456,572,501,306,611,887,217,333,712,053,262,104,694,
435,639,933,724,560,146,314,958,202,697,823,354,927,298,747,118,659,032,527,
192,777,262,963,934,997,161,884,303,659,838,719,515,068,178,529,437,330,861,
316,142,701,310,819,763,890,359,710,739,134,623,710,370,996,912,345,922,366,
282,927,950,745,589,503,702,575,316,998,796,675,010,747,229,840,031,132,633,
583,109,475,078,892,356,881,866,412,023,707,944,696,299,991,311,082,482,848,
117,503,384,067,256,145,165,556,185,682,263,210,514,774,614,506,626,448,856,
085,534,035,521,294,953,754,559,731,479,514,641,095,655,107,361,713,710,258,
248,852,968,580,529,491,203,677,516,113,948,358,136,317,056,968,203,643,829,
062,660,488,315,324,241,283,061,590,572,925,376,384,720,633,422,976,656,345,
087,958,386,774,917,622,564,636,640,472,078,161,416,423,230,453,129,491,797,
732,733,822,178,929,794,611,201,614,221,891,738,531,484,417,562,375,747,774,
547,823,442,223,006,075,254,761,446,375,157,582,980,990,764,968,392,306,986,
677,314,524,903,761,198,626,805,135,936,039,962,054,993,052,723,596,125,698,
113,906,697,194,735,641,900,958,083,528,959,825,561,175,425,722,466,135,320,
165,018,897,361,386,885,418,491,161,375,217,641,243,899,521,365,407,725,302,
511,777,153,084,635,070,705,202,934,585,942,537,741,190,798,626,243,919,139,
313,976,774,236,225,663,801,446,971,684,057,358,345,974,945,920,091,498,324,
200,142,740,717,356,856,926,678,303,046,518,022,037,221,622,570,866,768,712,
908,664,549,813,617,520,412,637,146,254,513,713,818,470,796,719,384,295,931,
187,790,390,621,963,928,077,186,166,418,518,901,528,395,138,133,050,853,062,
457,981,807,754,623,024,174,229,050,908,714,236,075,814,730,618,256,747,224,
691,666,466,995,520,537,342,477,892,877,478,416,309,960,249,563,290,525,786,
306,731,407,287,015,607,840,800,112,001,409,488,175,478,500,269,629,165,142,
538,500,034,051,660,471,255,949,266,138,867,559,581,791,656,294,519,303,971,
475,153,620,040,667,805,350,810,627,306,061,894,092,446,461,967,792,435,230,
919,005,246,472,795,061,549,439,281,554,849,929,033,905,437,629,799,447,140,
491,686,621,536,653,544,745,816,220,607,888,316,182,501,481,673,037,476,588,
753,455,544,583,655,110,754,593,796,731,637,274,167,224,063,832,101,496,321,
699,130,177,458,436,720,309,556,334,258,349,773,809,569,954,008,135,705,886,
798,132,644,682,979,651,053,644,518,756,082,494,969,788,433,908,040,644,350,
536,868,421,866,921,418,192,646,826,797,216,612,819,312,257,855,618,186,218,
984,071,858,619,461,337,483,397,226,847,679,399,731,474,646,822,313,967,952,
984,405,006,930,912,905,843,243,611,817,748,301,302,739,409,110,851,752,858,
146,496,853,797,464,663,273,353,990,671,769,311,092,770,561,838,013,094,198,
744,673,093,766,070,670,719,152,030,401,853,572,938,919,465,579,996,258,008,
921,518,667,082,436,969,215,496,316,169,101,402,113,017,502,862,820,983,231,
831,395,791,376,885,073,127,618,973,103,342,605,104,920,227,181,069,004,082,
673,248,283,092,295,755,680,727,523,359,007,485,197,412,052,052,636,606,586,
149,332,501,761,674,740,045,277,545,646,137,315,519,460,576,773,634,675,975,
911,922,859,634,023,266,035,849,236,603,132,694,462,355,047,003,243,206,072,
732,528,372,639,888,421,968,456,476,793,295,172,307,997,198,437,599,358,336,
371,268,871,711,495,471,501,774,652,433,022,398,942,110,349,111,151,171,896,
049,144,265,275,177,564,515,692,923,356,195,832,056,487,558,818,041,773,675,
384,948,884,479,709,871,202,272,790,930,117,992,711,723,012,673,556,473,910,
842,851,386,239,993,068,670,444,354,661,441,541,736,426,158,686,967,434,698,
248,888,486,442,381,997,486,971,819,591,062,025,795,445,344,486,223,759,601,
197,180,221,342,300,078,418,757,623,317,337,799,316,904,696,453,099,510,672,
496,431,636,297,720,066,546,682,794,900,824,130,081,394,950,403,789,207,609,
450,749,822,707,132,236,230,515,727,362,405,006,071,984,073,282,944,429,961,
597,051,214,492,341,420,241,166,578,499,993,931,487,813,629,437,376,383,531,
309,919,570,937,368,827,693,930,356,490,490,329,649,724,460,619,050,862,258,
980,374,867,028,830,805,892,284,862,501,575,730,350,648,327,438,919,853,181,
160,204,687,819,599,633,894,206,999,031,460,520,785,200,983,468,698,586,462,
207,360,492,300,797,551,742,197,145,297,320,491,810,554,079,449,186,567,747,
597,045,862,695,245,292,579,802,218,210,079,127,013,206,933,924,033,261,178,
113,303,018,130,606,051,864,328,241,164,600,771,725,158,489,184,836,754,526,
898,836,096,924,864,101,831,206,129,831,319,987,819,542,212,131,420,176,310,
152,408,236,666,786,036,652,321,670,140,767,311,108,844,147,369,860,343,324,
742,125,845,926,539,329,373,567,601,135,903,635,746,180,741,239,426,876,805,
414,033,163,524,586,006,230,302,647,214,771,457,874,840,330,864,222,815,539,
244,345,460,882,090,344,130,056,278,832,398,589,232,944,736,663,981,757,014,
639,111,327,246,432,758,310,052,430,703,932,267,153,945,300,929,736,421,406,
067,817,532,549,002,239,346,747,328,380,686,620,999,626,453,731,092,414,802,
163,306,165,348,187,484,238,144,426,680,495,822,925,384,435,259,482,369,194,
773,098,932,246,746,539,609,424,686,046,960,833,748,877,400,988,962,250,689,
627,486,843,933,027,018,803,392,807,227,424,572,621,638,550,623,692,138,994,
871,307,226,003,611,037,729,356,039,042,788,968,525,235,882,038,545,855,957,
536,927,014,506,643,223,978,868,635,258,880,393,201,936,263,652,550,893,106,
638,047,449,845,214,454,781,299,839,036,398,207,072,215,363,560,354,981,019,
701,328,645,384,016,394,793,252,877,254,799,400,263,771,912,877,935,790,105,
287,216,511,698,532,737,459,350,541,393,488,179,867,129,255,207,248,083,447,
858,676,763,191,008,296,631,314,569,239,238,878,963,484,050,414,977,858,050,
990,847,830,989,565,828,715,700,995,235,560,020,463,449,130,146,821,198,078,
572,438,633,185,892,660,610,319,655,187,905,392,332,399,746,183,396,432,010,
742,223,919,302,447,477,490,509,958,663,689,747,809,845,681,231,683,982,037,
158,316,768,190,213,486,950,692,813,540,053,909,487,345,605,540,089,362,266,
605,338,064,535,657,387,742,196,584,098,205,666,552,786,897,352,471,079,166,
175,698,783,864,102,786,081,040,270,988,971,676,630,526,374,592,028,218,931,
439,109,116,295,421,326,057,119,444,324,917,698,123,954,320,596,899,529,557,
324,658,081,657,682,722,024,722,711,982,703,650,782,762,261,829,358,008,073,
257,844,739,049,000,863,864,353,338,555,868,167,051,699,010,572,858,820,124,
446,203,674,679,424,515,522,950,865,256,886,940,631,466,717,562,034,623,835,
868,937,697,279,235,794,654,750,713,486,260,393,974,548,089,664,979,965,953,
286,671,021,888,035,162,090,826,069,583,441,504,297,354,323,522,272,507,514,
630,642,282,656,097,321,407,537,755,418,233,921,447,568,392,947,502,739,428,
245,301,768,052,199,574,270,152,173,367,186,818,223,021,902,358,675,506,096,
725,405,700,864,402,284,952,878,687,650,558,419,320,239,018,426,845,400,083,
064,887,694,098,692,387,812,717,694,328,674,454,308,008,502,053,426,119,427,
828,792,521,193,480,450,646,061,665,210,779,816,543,255,295,959,983,805,162,
159,817,107,404,260,562,402,785,206,128,484,136,568,138,050,549,441,597,090,
394,049,685,442,505,970,299,718,380,080,435,128,595,852,009,866,539,706,651,
088,786,077,466,381,411,588,260,970,357,820,683,610,718,286,880,797,647,264,
992,363,902,159,247,202,420,274,761,124,860,097,839,162,471,356,603,095,440,
869,481,859,396,905,851,623,148,598,653,549,447,695,921,672,241,603,403,764,
828,839,712,053,289,285,310,494,884,878,876,806,301,975,803,446,644,421,220,
355,203,062,900,446,258,320,198,403,535,333,975,288,240,945,764,529,910,004,
482,737,423,293,140,987,677,893,105,589,344,460,906,046,626,662,548,313,953,
509,928,158,926,897,983,600,866,259,538,681,243,162,883,802,666,086,381,122,
376,056,785,969,248,598,775,646,266,320,257,951,758,882,101,071,213,946,332,
928,494,476,372,927,115,533,096,070,513,651,851,132,830,771,749,427,903,053,
518,718,790,793,068,916,611,325,239,130,749,095,403,898,401,354,153,519,262,
856,584,579,204,886,350,974,309,881,169,273,091,530,340,297,521,579,259,685,
879,366,590,050,097,156,402,821,457,960,581,709,453,521,654,909,193,511,418,
867,197,842,572,730,367,018,624,128,252,550,458,573,078,017,382,042,235,098,
001,768,342,066,844,089,491,626,235,979,242,005,848,290,647,772,970,300,025,
078,234,073,680,696,198,991,411,836,555,123,630,882,063,318,967,718,043,781,
304,409,201,891,135,060,477,369,713,492,723,043,968,961,882,612,476,842,114,
845,403,975,978,301,723,242,571,978,121,775,627,880,515,330,670,656,304,918,
039,655,667,342,055,286,371,041,855,531,296,020,637,152,716,818,364,571,837,
913,682,104,749,552,819,039,506,822,321,152,702,892,791,632,267,623,641,715,
468,419,016,601,681,463,774,590,654,294,407,711,877,480,575,090,339,106,215,
594,787,909,867,315,769,236,152,410,228,812,501,699,000,886,814,274,219,104,
123,388,736,062,084,881,140,436,354,406,371,232,992,367,048,687,759,911,871,
961,276,557,376,202,893,919,194,933,032,273,489,989,187,267,893,457,076,717,
027,282,255,007,120,921,152,535,475,941,711,775,741,230,469,924,214,118,457,
349,972,811,332,819,666,279,982,704,248,555,849,011,315,985,661,635,283,940,
408,719,262,799,593,089,147,374,170,407,757,806,607,798,103,861,606,298,354,
907,411,826,174,321,551,750,105,665,568,692,745,096,713,528,038,018,114,431,
324,902,435,453,369,797,802,002,920,712,313,770,985,316,007,410,219,871,103,
159,826,400,366,851,085,282,346,814,604,094,982,207,877,952,249,009,506,792,
038,551,759,646,804,636,835,878,192,104,903,025,947,977,118,651,389,177,759,
479,055,315,579,299,924,279,555,845,928,644,699,386,942,529,663,915,639,868,
001,438,783,858,910,508,489,771,888,622,651,351,618,627,697,621,703,424,161,
045,362,543,391,184,909,502,331,577,555,969,368,155,228,202,782,910,190,668,
140,387,638,864,804,899,817,815,002,392,091,571,233,427,354,814,646,724,603,
911,388,072,345,238,148,398,105,474,561,601,725,945,714,328,735,848,434,779,
967,324,347,344,149,369,080,640,196,063,426,358,966,467,249,977,566,611,516,
000,628,635,855,675,775,585,820,858,063,392,773,334,537,188,476,879,358,479,
935,681,905,062,006,562,864,369,978,837,777,959,224,675,684,252,178,560,475,
810,223,329,273,002,088,254,466,108,312,595,101,863,324,562,661,749,443,722,
520,353,894,003,158,874,354,018,166,028,056,492,686,241,214,483,886,898,515,
331,695,170,051,817,485,631,148,158,654,290,547,292,146,336,144,415,455,093,
240,434,989,236,565,021,919,733,731,766,123,168,416,651,286,335,274,263,947,
303,224,737,621,841,677,910,781,507,855,126,602,602,772,297,481,330,709,907,
806,718,778,333,176,088,689,622,960,123,552,728,574,229,248,153,285,399,551,
434,564,638,447,009,982,885,836,440,256,106,518,314,702,847,706,374,610,265,
326,241,763,122,813,233,069,577,970,247,258,497,369,686,921,448,760,623,523,
401,236,098,306,280,259,058,680,720,454,459,665,940,360,029,113,795,130,280,
654,129,777,075,956,110,462,070,394,918,244,048,833,002,400,365,738,109,664,
258,041,905,372,617,482,506,647,263,747,889,875,123,308,001,948,856,624,778,
733,094,603,035,198,341,585,476,793,361,826,561,317,439,538,563,477,931,885,
071,032,527,087,372,534,429,635,572,885,910,022,031,586,662,439,736,382,887,
050,515,328,517,517,483,508,049,594,192,463,865,902,167,588,379,065,981,818,
753,413,903,006,919,336,030,780,104,636,939,927,585,159,591,567,602,658,586,
040,241,713,429,463,803,806,519,140,780,477,310,440,665,203,424,547,709,767,
767,898,258,919,277,725,119,104,124,905,948,803,503,995,009,202,912,104,614,
165,593,894,545,132,021,244,904,237,009,485,211,788,190,174,783,683,627,105,
529,455,685,157,240,889,245,328,331,495,924,151,149,105,224,015,351,743,709,
586,128,749,541,404,106,105,219,841,247,904,569,834,239,748,738,422,192,139,
641,519,081,404,586,204,857,535,867,076,731,674,953,095,576,813,315,000,687,
922,629,135,815,653,579,416,369,620,712,968,184,960,045,512,222,576,803,883,
902,041,849,329,602,400,564,890,088,268,293,656,062,238,603,919,406,804,448,
967,748,568,271,815,494,744,137,146,996,289,127,637,318,325,782,837,084,779,
540,753,246,241,750,340,432,421,183,599,274,759,899,151,020,059,683,135,596,
921,071,880,853,456,901,684,617,778,643,084,427,183,815,635,960,291,022,802,
457,334,643,709,982,737,685,229,475,570,308,492,854,433,604,032,663,346,403,
837,632,427,530,476,849,274,039,922,332,514,701,357,903,885,014,539,435,290,
169,072,272,592,958,722,771,149,597,667,212,528,338,908,302,187,898,245,954,
561,828,265,280,384,057,304,105,686,630,843,598,621,329,032,331,257,660,953,
928,912,417,111,493,934,820,803,702,453,610,579,540,701,450,922,313,646,183,
607,810,918,297,597,805,742,511,190,963,288,565,789,444,383,056,307,293,849,
031,693,890,585,542,929,093,260,583,365,448,840,929,652,934,664,276,466,089,
130,787,973,738,014,244,813,562,961,582,825,113,189,317,769,048,980,111,245,
565,057,337,073,008,143,764,719,161,587,417,695,986,625,615,341,496,433,212,
142,384,453,240,125,846,487,716,847,424,581,408,595,541,723,708,859,261,306,
202,706,187,862,313,863,904,645,207,944,114,942,717,267,048,160,011,195,443,
760,325,527,564,458,392,650,431,066,435,412,610,904,397,852,309,471,080,808,
166,247,995,309,973,502,861,462,113,303,108,586,020,371,441,871,310,650,237,
695,291,317,031,411,621,076,662,253,220,556,071,045,505,128,188,703,132,872,
632,478,372,369,896,256,408,873,774,041,129,940,900,153,037,847,876,059,415,
345,630,650,479,984,905,187,162,095,104,782,461,976,439,958,258,485,592,663,
150,078,011,749,141,021,591,008,666,789,613,301,865,492,308,456,081,452,185,
007,184,464,303,467,206,074,815,759,496,347,879,724,019,402,394,478,801,486,
507,693,005,908,456,447,970,605,884,135,551,040,757,500,337,044,882,136,474,
661,041,390,307,666,127,887,653,562,045,984,705,775,378,450,122,729,225,093,
167,008,624,341,697,175,278,791,185,623,268,141,531,341,940,827,437,062,708,
140,017,096,674,245,540,894,311,342,283,063,720,467,323,275,060,030,017,936,
982,803,694,137,570,406,188,808,453,108,120,177,192,318,673,842,258,463,704,
554,696,085,706,947,378,608,729,899,977,556,566,956,782,380,431,315,000,609,
056,869,611,700,145,607,100,717,637,775,816,274,757,169,724,486,208,635,324,
053,395,925,281,684,695,737,096,654,972,679,998,363,858,884,894,194,178,779,
553,804,601,890,273,973,082,561,713,736,037,154,597,412,542,119,730,341,100,
552,936,848,461,695,465,196,498,920,022,857,120,427,654,432,632,080,779,675,
651,368,606,774,623,366,676,385,729,769,111,287,308,916,154,420,733,321,313,
737,923,069,736,523,431,196,871,329,160,441,746,156,770,812,881,398,368,588,
662,251,809,395,172,649,200,938,783,587,751,242,431,558,892,402,479,996,393,
906,931,071,363,759,941,968,617,633,831,241,438,915,098,390,820,704,984,242,
780,123,758,165,096,731,350,251,412,608,837,886,843,480,316,741,129,542,971,
326,856,919,327,434,613,074,241,287,074,081,296,602,240,133,250,782,928,321,
353,461,906,095,416,562,041,709,827,066,741,842,254,543,321,504,628,949,959,
917,735,754,582,240,205,553,981,408,006,066,703,920,146,457,575,859,358,834,
058,988,468,231,754,253,680,588,713,771,377,258,106,456,771,591,239,763,023,
644,113,620,162,058,311,244,910,734,265,182,326,818,528,608,452,777,259,171,
623,224,413,915,263,633,898,652,473,696,691,417,446,211,397,361,620,167,143,
012,858,782,164,894,728,122,027,086,292,137,994,572,691,548,126,071,233,605,
048,831,101,653,072,923,406,880,923,597,430,428,089,222,507,691,665,213,968,
857,034,239,740,844,828,977,708,356,879,886,567,208,052,908,521,314,026,076,
512,531,406,764,791,328,494,023,095,138,580,493,822,760,146,215,269,879,423,
066,833,902,839,392,056,498,508,572,428,354,948,285,672,797,509,193,866,083,
743,316,480,144,416,808,832,931,282,642,616,381,733,668,735,532,477,438,190,
073,950,857,285,426,190,118,258,056,632,072,923,204,771,564,801,834,345,573,
548,084,005,601,744,014,839,243,964,852,352,166,200,301,665,200,359,125,216,
605,227,978,315,968,565,430,501,865,127,279,012,800,681,738,461,747,535,015,
524,190,805,517,925,555,545,123,021,814,707,489,964,216,120,143,084,642,992,
063,165,775,893,451,864,733,937,057,177,782,486,562,564,176,242,675,360,844,
879,274,962,806,206,170,902,536,245,885,305,467,228,128,936,273,196,699,685,
687,061,209,612,386,200,080,879,427,582,745,725,944,406,416,367,160,506,088,
593,441,906,280,837,245,885,807,813,300,336,610,894,365,901,440,183,125,670,
381,222,794,951,238,583,431,193,312,855,573,770,414,707,877,069,429,200,557,
268,836,974,300,629,670,544,920,359,951,953,722,531,856,234,299,358,038,524,
081,019,158,752,120,920,924,464,584,520,356,400,964,469,521,411,600,411,690,
732,706,840,136,262,781,039,180,721,963,943,399,837,252,815,376,083,654,938,
607,718,523,741,549,419,757,678,933,033,044,017,232,751,715,341,038,766,474,
394,377,105,135,374,394,273,167,064,028,090,917,290,513,342,085,465,676,522,
224,392,416,405,091,061,385,385,222,851,198,096,333,869,778,701,229,159,923,
134,157,028,331,295,033,087,768,482,412,384,313,601,632,708,090,121,504,412,
043,009,824,258,299,672,347,006,104,937,804,563,471,939,654,879,993,154,288,
188,909,751,781,426,362,945,028,542,503,980,944,805,953,596,284,577,039,572,
636,105,110,886,217,477,663,902,138,140,563,944,520,888,425,439,438,414,802,
247,705,757,155,534,656,861,695,662,914,744,043,687,620,828,312,766,931,415,
730,588,375,094,263,794,859,702,970,346,322,008,828,559,980,995,630,690,476,
855,938,004,800,603,803,713,929,138,001,915,188,999,395,559,705,234,445,410,
251,594,009,123,382,036,900,498,804,940,428,323,033,839,599,630,784,577,253,
353,250,886,905,942,194,415,335,959,309,680,242,326,173,771,459,277,113,194,
734,765,428,171,790,559,616,103,654,060,171,354,608,016,386,580,458,077,961,
591,919,805,973,370,565,338,954,414,938,708,065,880,377,732,288,744,311,527,
573,299,792,284,674,902,445,553,677,192,168,425,857,484,687,544,897,249,793,
637,750,436,527,430,847,214,853,008,238,036,932,871,360,722,167,573,236,198,
789,225,096,986,668,162,485,554,642,690,318,435,378,393,099,072,591,088,743,
504,251,583,808,494,502,981,867,257,304,378,833,365,147,830,741,761,619,228,
779,061,852,164,095,442,046,747,941,964,953,728,066,134,809,072,908,943,361,
203,012,412,659,314,012,929,127,839,057,144,960,675,338,951,608,477,261,144,
688,360,326,596,608,754,734,870,071,482,858,823,513,114,323,914,852,430,664,
503,094,081,672,592,302,123,640,641,715,643,728,649,300,359,692,939,796,665,
956,575,796,799,842,729,076,879,543,221,775,557,054,056,418,790,539,236,251,
492,033,384,729,761,150,029,350,800,741,814,631,299,134,477,992,639,885,513,
373,290,852,864,850,128,629,888,072,467,354,454,694,309,771,137,164,299,438,
055,052,880,057,767,619,495,804,560,470,960,264,512,271,635,656,927,627,536,
312,244,440,384,548,161,849,533,926,967,882,461,468,239,928,313,568,540,503,
312,283,873,782,931,300,863,574,182,210,018,480,943,324,144,645,623,536,403,
493,092,226,359,834,777,029,354,619,968,303,338,040,611,332,865,383,023,684,
454,117,338,133,807,828,409,819,215,630,591,134,922,866,047,911,758,660,790,
232,955,337,914,455,466,725,508,617,234,055,150,508,975,691,306,159,485,023,
712,679,743,081,521,287,676,434,542,695,689,087,943,482,831,686,797,887,289,
546,614,893,447,908,054,600,710,629,576,561,063,019,452,708,286,653,522,447,
662,889,758,895,124,661,077,752,915,466,046,195,735,066,088,445,187,190,955,
265,367,195,841,287,636,859,178,075,575,981,207,473,124,762,033,744,879,687,
391,907,712,269,880,045,072,520,939,440,440,603,101,545,694,326,484,040,429,
438,065,566,561,069,689,280,487,811,380,095,860,743,915,813,237,517,715,767,
514,213,654,327,393,033,024,194,732,118,743,380,897,802,635,246,755,001,644,
098,028,740,096,414,617,367,384,457,058,955,417,506,890,467,982,717,847,975,
171,608,384,653,341,269,261,206,583,848,549,626,839,015,109,239,374,696,274,
696,648,845,985,040,820,546,885,048,244,141,128,306,472,704,693,975,366,325,
924,105,768,424,736,315,910,263,944,064,415,682,500,896,082,737,314,776,158,
749,522,243,280,639,564,143,732,338,500,548,610,930,065,933,680,554,642,747,
465,674,224,765,079,772,833,153,988,632,166,425,940,909,808,238,367,805,786,
720,863,115,690,229,077,043,319,477,473,191,748,283,556,229,674,549,154,935,
816,708,090,890,118,412,131,192,482,351,888,575,161,660,206,392,032,399,133,
881,853,507,623,707,729,613,976,688,247,280,279,968,216,019,303,145,618,939,
349,094,907,587,297,522,727,342,657,792,573,558,906,326,122,587,411,451,032,
543,668,825,369,702,400,843,402,791,933,928,210,501,998,369,850,225,759,216,
228,437,000,562,348,289,269,743,681,241,359,909,841,291,840,801,935,361,317,
104,549,571,104,128,754,359,970,547,186,714,741,989,273,112,607,625,015,955,
456,894,456,201,466,543,748,687,901,991,151,033,101,463,849,406,283,007,229,
840,410,991,827,032,317,775,568,341,673,833,185,431,619,528,494,141,922,509,
637,058,873,617,207,626,411,982,082,160,338,559,702,645,776,980,770,802,086,
857,868,483,050,312,871,401,026,879,284,549,153,920,424,676,864,437,722,033,
710,475,659,406,959,329,196,040,072,881,489,650,679,818,930,333,875,050,344,
403,630,177,782,866,127,557,792,893,801,873,211,385,862,228,030,817,505,382,
973,852,191,322,088,319,759,530,292,414,046,129,293,016,474,431,441,070,105,
595,683,559,934,848,006,402,666,300,108,288,332,567,085,219,463,985,477,694,
275,247,128,638,933,878,638,931,516,697,726,348,278,037,243,705,672,805,775,
754,273,963,328,403,961,056,427,201,745,978,336,262,159,547,391,557,574,974,
719,922,338,128,348,656,932,148,930,212,046,931,857,673,277,913,573,531,246,
368,792,784,243,303,500,252,766,419,242,233,069,410,142,550,217,615,932,953,
574,802,276,171,473,906,248,799,836,693,361,708,197,783,309,530,829,649,469,
754,190,692,367,969,300,593,055,068,920,013,962,675,773,954,725,591,741,481,
638,642,153,545,219,556,572,551,593,073,144,483,050,258,967,223,040,290,992,
678,255,850,021,614,355,024,740,393,057,480,131,268,957,737,920,955,695,716,
015,753,135,451,802,611,354,397,574,149,166,158,905,585,096,367,781,451,242,
776,198,861,048,535,334,620,559,802,397,939,925,266,488,953,943,082,671,388,
084,647,399,590,575,262,753,260,819,820,094,490,739,162,958,806,699,919,759,
305,807,107,235,547,426,698,929,986,941,420,464,589,546,766,790,284,559,524,
291,396,777,996,485,056,835,252,263,643,877,845,488,041,051,455,821,207,256,
295,109,450,321,411,965,586,704,215,088,934,047,055,377,738,214,595,469,486,
029,674,195,552,491,517,725,623,327,972,510,228,501,216,329,929,395,321,163,
047,708,371,746,101,853,565,453,268,552,751,483,737,839,820,251,990,308,217,
284,253,006,964,248,035,547,240,934,222,783,143,783,936,247,107,189,679,581,
557,713,637,158,697,880,583,011,290,798,456,060,736,540,917,681,809,409,093,
559,960,320,149,961,234,536,186,055,078,548,529,289,014,924,263,889,252,140,
128,735,667,992,175,228,039,993,637,552,492,289,035,399,265,812,515,254,500,
980,980,106,627,080,335,229,469,409,616,790,411,827,672,263,592,180,207,861,
116,315,051,166,788,348,848,573,549,876,206,028,763,396,061,728,624,593,816,
038,419,210,904,152,944,098,060,670,363,128,387,629,312,576,330,234,827,605,
376,563,845,271,751,357,422,448,351,714,579,382,242,028,570,332,142,771,980,
113,376,122,332,062,631,447,681,693,924,919,325,955,523,204,518,553,731,581,
337,134,392,473,159,565,328,304,154,844,502,742,185,704,661,521,417,866,791,
444,275,022,115,957,722,762,378,392,962,557,149,005,377,168,317,430,457,416,
350,846,265,956,314,989,268,010,742,336,891,731,699,502,418,232,602,468,286,
854,026,872,752,975,121,328,610,627,902,685,178,317,174,323,261,821,521,628,
094,390,839,763,882,485,720,278,085,803,185,167,729,540,503,086,369,994,803,
823,812,790,365,191,603,368,755,714,125,923,515,868,290,386,531,560,026,870,
523,017,880,599,017,105,448,341,150,673,046,702,772,323,056,649,848,723,355,
532,176,898,840,110,275,363,979,163,972,764,334,658,230,138,346,448,134,703,
383,373,696,746,248,769,243,742,765,970,423,790,594,339,201,074,485,117,778,
589,705,568,988,582,621,793,897,699,044,201,537,790,660,157,049,680,007,548,
787,311,719,132,734,747,838,126,856,360,595,863,588,299,295,249,575,366,107,
519,074,940,526,597,829,102,112,248,939,410,637,556,984,835,113,096,759,608,
067,983,398,165,953,015,053,010,591,002,851,565,243,141,857,662,073,049,785,
168,221,567,191,907,484,049,063,833,298,397,762,672,903,397,132,157,983,302,
101,507,382,901,102,717,879,668,948,808,177,229,377,880,215,912,512,161,736,
720,706,316,255,822,530,685,450,550,034,982,192,319,731,645,844,110,174,524,
918,926,155,806,800,056,068,404,365,645,622,828,481,753,013,562,481,529,862,
121,639,074,874,451,081,009,110,279,755,479,672,761,703,531,622,757,229,432,
202,906,260,212,597,823,553,995,699,529,405,665,349,502,357,745,659,741,830,
797,441,611,351,048,979,499,124,507,703,224,666,956,532,554,223,662,224,975,
516,410,143,507,101,937,230,320,123,475,944,810,840,831,507,892,822,828,155,
995,374,362,904,855,981,117,112,754,702,563,119,507,482,738,507,230,996,191,
600,131,960,805,738,600,782,830,907,124,886,290,939,979,782,022,859,095,984,
421,735,421,668,699,096,174,875,393,984,737,893,546,467,338,278,049,174,708,
149,260,907,875,418,378,800,668,093,491,130,247,441,494,919,219,146,974,749,
658,137,283,924,670,025,171,222,141,252,774,768,131,944,576,271,004,674,039,
091,981,844,630,844,285,977,627,522,104,511,670,104,127,945,004,911,522,772,
420,142,200,483,552,794,477,282,589,629,944,305,235,447,486,218,380,401,458,
337,040,268,722,754,373,773,266,346,515,993,083,971,446,094,016,669,252,655,
774,066,352,059,914,889,474,805,859,793,293,350,555,047,692,220,824,506,284,
298,698,143,015,011,784,725,166,467,802,667,505,904,864,055,910,209,433,361,
992,451,066,314,155,889,481,752,399,948,445,588,178,554,353,598,554,592,537,
650,032,697,173,914,582,928,296,804,187,844,581,168,740,634,355,138,595,808,
841,799,157,374,136,922,677,457,759,478,975,056,129,270,109,943,365,454,076,
627,594,691,179,576,528,020,109,243,457,936,867,816,751,153,909,763,022,288,
705,845,522,686,404,663,791,203,901,598,913,752,222,165,390,064,490,763,923,
230,037,640,400,966,037,872,694,755,080,790,027,854,524,043,080,610,114,446,
613,367,417,747,896,235,068,086,426,858,449,833,354,711,105,924,425,099,318,
480,427,818,757,033,798,081,199,864,761,223,037,968,192,394,613,609,764,372,
045,482,489,129,312,444,350,272,559,214,108,916,057,146,023,901,440,935,008,
825,043,068,097,040,048,639,767,309,893,109,367,041,624,809,305,044,382,170,
916,654,810,925,552,667,846,719,927,410,415,739,842,254,060,096,347,013,752,
521,550,487,400,861,114,008,116,336,144,084,227,054,688,386,136,734,857,161,
875,880,338,396,480,022,707,266,323,592,053,754,686,120,748,849,036,853,866,
196,568,296,411,069,122,032,087,903,162,936,877,099,849,963,616,248,963,319,
992,808,026,498,771,106,931,467,668,352,856,159,339,771,059,172,155,599,319,
095,626,555,180,458,424,463,333,652,425,573,282,145,758,852,866,713,092,517,
556,520,876,315,490,833,947,596,898,375,773,280,773,578,015,708,166,638,647,
785,827,665,236,405,526,194,301,314,038,866,196,045,854,449,680,187,477,742,
315,506,031,686,139,874,313,015,783,134,004,199,380,789,501,003,245,559,160,
503,276,286,826,432,533,672,869,838,026,157,141,459,502,489,961,021,831,807,
636,199,743,642,226,058,828,297,613,811,308,182,488,758,581,991,252,312,915,
580,252,910,991,160,892,138,487,709,948,807,040,471,346,634,421,480,672,470,
642,076,120,053,045,632,205,594,790,402,100,120,356,447,175,451,838,622,831,
739,842,135,455,499,277,870,224,808,075,842,510,391,873,125,746,192,054,992,
076,924,308,901,533,284,131,803,912,629,326,225,298,214,931,389,233,092,176,
255,720,724,648,550,802,037,706,470,865,870,307,660,522,602,739,662,033,868,
480,140,113,198,940,085,438,843,505,042,375,742,422,908,686,133,607,253,618,
701,601,192,063,697,062,032,917,897,371,260,084,073,976,103,132,454,962,719,
097,800,536,349,278,699,586,421,312,686,595,107,569,536,632,492,368,948,490,
419,661,807,060,210,750,992,286,293,654,702,660,411,915,274,655,784,528,441,
320,845,773,091,608,175,013,345,308,154,171,652,155,104,635,102,770,232,975,
634,961,900,095,406,989,579,791,013,851,077,278,992,129,658,827,591,538,940,
868,487,301,073,118,752,774,952,832,141,305,784,177,076,508,135,756,598,497,
678,444,443,234,012,983,896,028,548,157,651,924,923,247,101,287,232,704,421,
314,385,371,922,177,696,151,030,998,602,403,731,242,112,566,509,452,776,810,
142,377,213,597,080,283,943,929,216,143,645,370,288,138,608,235,987,541,914,
241,312,705,222,848,455,985,216,633,770,157,795,196,868,322,254,594,113,424,
357,905,478,869,395,443,258,698,888,874,884,824,830,032,896,075,874,660,308,
639,041,580,557,390,433,573,643,982,103,300,658,913,475,650,280,207,113,910,
719,025,304,370,001,703,219,154,303,834,858,459,117,709,613,996,682,298,281,
583,053,148,460,611,276,023,063,259,530,586,899,674,407,249,692,847,207,995,
315,136,790,162,830,081,016,850,101,139,877,007,755,801,823,756,544,822,911,
551,994,727,993,793,165,370,604,461,830,855,120,766,352,889,210,872,360,168,
641,740,335,189,372,719,319,430,575,092,249,222,595,611,996,115,103,833,686,
959,867,862,367,167,759,041,818,052,936,562,748,821,436,868,698,265,216,221,
207,428,069,108,682,784,922,583,254,262,589,178,284,236,310,684,411,657,125,
718,574,879,125,702,286,723,623,070,345,097,580,643,943,918,880,096,510,047,
518,042,643,014,206,724,902,383,776,350,405,984,189,063,344,104,297,912,749,
749,736,481,213,830,664,513,069,743,350,433,122,502,039,815,233,197,344,982,
857,225,827,320,017,154,871,171,548,762,513,400,378,938,175,816,814,063,608,
913,455,775,143,924,918,086,533,668,189,908,624,768,423,738,545,498,112,035,
933,132,715,284,517,359,264,060,960,640,580,486,765,296,620,655,148,321,384,
569,892,774,928,038,186,458,513,415,922,315,308,509,504,663,365,594,022,537,
304,928,001,149,454,136,464,041,592,617,516,146,537,021,381,097,201,659,196,
480,081,305,695,990,948,659,770,612,431,065,027,516,880,981,464,639,610,716,
530,220,248,029,914,391,528,441,172,185,492,733,656,090,334,588,845,135,015,
796,425,897,078,401,066,639,221,488,891,538,132,562,224,570,508,905,320,785,
177,884,171,222,219,806,478,462,264,317,251,008,197,870,107,715,323,921,490,
665,656,837,567,776,887,109,195,231,196,570,635,087,307,313,951,107,227,476,
062,670,629,520,356,306,695,589,202,962,527,492,683,695,013,503,889,231,504,
992,312,284,521,282,168,440,437,444,187,914,892,258,640,714,053,798,304,565,
051,913,434,014,529,857,564,970,215,822,633,453,883,602,094,422,262,078,413,
173,416,339,157,571,184,856,537,041,882,223,489,313,979,643,460,901,093,940,
470,088,896,946,376,490,407,019,515,565,772,696,267,559,105,823,626,005,001,
844,113,539,747,262,266,730,288,862,947,413,065,766,239,903,458,568,691,309,
885,510,812,030,052,828,724,453,958,599,165,316,314,844,419,450,078,401,979,
048,529,503,747,906,767,726,112,847,695,095,197,440,183,744,324,044,903,436,
988,766,533,402,098,822,971,292,651,382,598,831,651,750,568,190,189,678,428,
334,887,408,998,108,057,284,081,246,642,966,975,329,815,790,511,502,077,908,
684,404,097,554,635,355,769,841,408,503,746,573,104,601,955,690,672,405,547,
610,402,825,321,937,770,298,320,374,182,902,700,395,935,197,819,022,867,730,
541,101,888,672,561,952,628,016,414,122,915,526,340,834,910,264,294,708,602,
525,540,144,786,150,817,847,293,503,163,725,622,987,292,412,879,068,078,278,
980,418,469,413,948,436,559,126,297,164,979,925,527,528,112,641,943,603,232,
149,655,596,171,099,141,641,203,778,435,923,975,055,773,502,755,218,968,829,
302,645,087,465,250,085,197,843,361,354,861,491,104,161,001,635,326,682,175,
390,633,361,601,837,103,193,215,954,262,064,265,762,257,124,785,550,447,656,
614,156,927,702,659,340,515,392,234,031,706,327,720,902,364,447,665,797,573,
182,545,573,331,717,381,684,179,215,271,516,402,668,148,663,817,588,164,559,
636,433,030,215,843,973,095,369,236,083,318,038,450,969,025,494,831,727,749,
616,750,111,431,596,048,159,404,984,393,073,842,052,579,417,563,495,004,082,
436,648,585,793,277,825,761,416,450,434,085,412,947,570,762,461,894,401,854,
150,605,743,321,469,058,362,663,494,370,196,755,822,582,329,764,501,724,784,
150,708,880,007,227,334,075,934,346,080,338,006,550,046,644,368,996,985,153,
229,960,776,133,971,264,742,500,062,230,925,026,740,272,412,623,589,778,258,
361,531,016,730,714,045,714,733,668,576,361,172,955,018,869,819,688,881,328,
958,867,428,605,162,817,842,013,123,340,223,314,130,539,119,682,901,925,422,
152,012,807,939,842,659,037,424,056,471,614,895,774,006,002,302,335,099,993,
767,959,797,009,976,102,838,230,198,109,936,479,470,450,994,287,209,564,382,
609,360,073,776,812,932,989,856,227,192,198,439,600,848,965,723,691,268,145,
026,375,614,946,691,496,296,087,920,930,517,241,488,621,572,097,643,763,050,
030,066,452,276,003,232,563,942,288,970,762,703,466,352,500,553,711,065,368,
824,695,629,695,777,205,512,227,411,343,446,396,033,716,979,678,654,227,280,
818,100,871,696,094,590,949,732,783,361,778,844,381,805,477,838,298,984,378,
226,926,980,494,390,168,940,469,086,263,921,956,171,181,307,930,736,254,527,
552,446,381,663,997,818,021,239,028,957,800,192,232,075,807,332,491,481,997,
561,975,680,483,528,277,131,079,581,150,451,841,392,576,394,378,711,106,684,
120,878,755,258,193,824,445,073,665,802,716,104,776,829,206,983,668,488,691,
975,975,363,673,013,071,018,835,269,544,695,145,827,444,267,643,791,534,551,
411,648,748,078,809,200,970,485,877,063,042,671,110,696,783,958,474,643,349,
402,584,642,149,379,906,652,449,929,407,784,784,427,059,312,945,672,670,749,
747,754,660,391,750,558,424,126,106,671,175,228,209,244,836,385,639,397,691,
525,896,188,406,885,712,429,200,857,448,626,621,553,780,435,595,039,325,341,
278,433,521,118,088,941,091,081,614,350,657,174,003,576,845,838,366,353,851,
267,603,073,387,324,943,195,993,882,703,038,216,801,080,179,918,178,756,927,
755,684,903,813,389,514,215,199,038,953,816,984,492,095,847,006,181,943,161,
359,366,904,542,219,606,847,808,712,248,687,606,805,535,968,779,531,690,132,
911,523,999,220,383,903,063,342,466,225,300,789,240,114,004,721,676,085,469,
483,607,666,228,875,933,521,463,644,894,313,530,506,466,747,538,950,628,733,
439,867,545,284,481,430,376,136,295,335,866,945,341,603,812,999,708,871,940,
290,661,740,277,350,675,900,942,761,823,799,035,296,495,012,561,656,421,057,
751,700,257,771,217,986,649,316,871,583,701,718,051,317,877,703,196,355,560,
427,273,760,178,576,768,452,598,057,278,812,850,320,408,449,015,249,612,652,
576,106,390,480,382,915,815,785,309,492,692,974,296,908,201,968,387,545,544,
780,395,844,682,321,298,721,250,269,737,733,583,646,619,108,049,195,433,632,
138,385,977,192,232,251,618,288,600,388,162,907,560,268,472,219,840,593,815,
971,154,860,473,068,701,841,046,658,665,908,177,591,212,194,851,006,815,037,
194,487,873,536,573,229,111,178,107,349,779,267,818,922,281,749,275,379,650,
618,470,180,046,020,177,165,651,123,154,617,389,707,845,529,688,245,227,807,
635,593,820,411,985,589,119,585,520,014,299,891,504,552,972,935,509,260,554,
790,794,888,689,121,897,967,770,334,675,257,651,828,025,341,398,437,495,211,
968,188,851,767,734,042,794,432,344,340,953,582,073,831,043,718,204,692,179,
275,200,484,104,007,053,718,199,678,499,338,698,706,636,565,417,083,116,535,
593,778,966,732,623,680,169,297,971,436,421,524,408,350,904,547,502,335,468,
790,458,018,953,573,951,734,526,981,351,542,595,990,081,478,667,640,626,075,
584,721,603,232,201,110,092,390,704,697,109,879,991,322,549,891,503,343,219,
783,805,277,084,200,391,115,237,297,407,912,850,253,397,894,932,879,712,969,
891,727,122,028,342,188,296,307,652,953,946,862,271,288,835,772,972,170,099,
677,884,568,188,192,002,811,650,704,860,361,427,122,225,988,968,768,830,660,
388,168,478,392,728,889,895,724,064,599,865,810,879,776,236,148,937,751,237,
984,387,075,427,632,784,603,737,704,469,759,036,761,055,740,211,613,550,423,
703,784,780,527,666,001,099,446,188,114,335,042,561,866,401,659,187,414,214,
979,596,305,034,731,201,518,794,277,556,414,501,919,235,163,823,311,367,056,
766,528,695,077,024,461,507,714,224,391,742,067,121,431,320,121,971,210,723,
248,363,414,233,150,036,221,809,828,108,273,909,638,471,047,959,638,717,998,
936,081,683,813,991,800,450,680,794,500,164,289,843,153,163,231,037,099,613,
155,775,596,614,352,753,382,288,668,196,630,022,622,421,438,538,001,047,402,
100,885,763,618,122,333,297,295,494,025,652,546,738,343,001,404,997,881,795,
913,986,745,367,827,543,868,833,100,411,077,937,053,439,943,613,215,609,686,
477,360,990,734,558,363,683,288,244,246,862,723,847,550,929,764,315,979,239,
198,028,231,918,777,081,359,424,125,423,791,361,871,161,295,250,380,249,608,
800,498,248,128,404,476,861,499,233,747,536,326,787,452,622,083,229,652,249,
068,423,489,025,331,672,654,142,253,968,221,916,599,076,807,429,362,079,406,
767,960,419,484,691,327,776,168,747,803,546,610,072,576,578,824,959,535,826,
250,206,935,465,887,228,869,336,167,545,374,637,321,343,358,980,270,802,012,
300,877,291,216,430,760,700,394,944,709,585,811,486,562,209,232,729,856,558,
421,365,932,473,161,034,535,467,406,102,152,541,991,210,831,540,419,712,239,
800,331,034,404,601,250,536,411,253,862,797,422,487,250,110,446,120,811,371,
208,719,880,383,521,171,984,230,578,636,536,252,435,795,445,128,043,227,334,
089,529,969,346,891,257,250,832,210,904,397,062,636,314,736,327,848,702,166,
929,380,033,101,774,233,804,364,858,479,641,261,328,331,329,356,249,312,831,
670,050,255,005,654,606,702,331,537,272,519,726,578,585,521,972,314,111,575,
146,277,002,124,566,875,586,065,327,902,525,211,811,726,000,078,248,277,594,
131,816,363,617,462,329,976,630,091,135,234,546,538,337,719,112,635,718,248,
140,863,984,280,422,874,990,168,700,841,911,015,068,382,549,873,606,941,564,
471,426,463,908,468,443,496,759,155,168,743,169,471,190,766,110,622,487,514,
924,141,586,975,620,017,283,206,765,902,554,868,344,120,611,603,684,100,800,
960,117,933,278,610,087,452,357,363,739,141,101,662,206,474,132,463,845,278,
207,280,855,644,960,326,747,710,106,932,553,956,962,634,753,000,525,660,452,
655,442,956,986,268,516,165,574,464,246,659,487,999,644,099,517,911,647,215,
068,080,708,514,990,506,335,317,837,327,457,488,904,864,168,478,570,310,226,
588,737,298,284,235,806,335,153,506,926,971,961,939,843,735,041,018,658,159,
071,167,077,158,006,414,212,457,719,776,132,776,703,679,753,103,374,890,812,
262,184,681,737,033,135,319,143,673,573,964,911,690,349,996,611,948,174,381,
181,323,221,878,350,959,176,678,792,018,021,305,901,895,077,731,966,633,342,
092,759,880,247,193,627,078,144,984,674,470,107,863,400,356,467,368,992,213,
156,015,324,910,878,849,857,841,767,914,106,962,378,588,350,140,176,228,810,
793,306,304,847,257,042,738,220,728,172,236,674,554,170,572,175,051,187,910,
549,999,650,401,540,046,815,230,805,743,213,319,815,069,822,786,189,831,268,
684,696,309,984,274,372,651,143,281,850,502,558,967,536,560,836,528,535,374,
048,750,436,970,038,791,304,137,660,456,098,663,758,311,054,476,030,060,792,
288,665,766,398,634,489,360,588,587,410,390,292,174,463,795,229,152,880,366,
748,204,252,627,490,931,702,978,503,910,936,109,047,321,596,382,234,660,511,
966,749,455,263,176,292,667,277,611,079,834,497,560,415,566,014,456,250,487,
135,275,994,707,763,872,009,733,416,227,261,982,094,778,309,177,256,920,361,
150,039,202,178,388,533,922,083,307,902,661,926,884,704,008,241,827,871,591,
591,744,076,783,542,638,024,925,697,006,874,439,594,884,789,204,841,084,564,
888,881,782,982,927,275,417,719,786,544,816,364,397,401,894,657,301,946,070,
241,625,681,625,119,733,733,598,536,632,132,551,124,759,114,241,147,020,959,
998,267,295,568,773,436,522,607,684,610,903,808,549,424,062,631,119,929,349,
056,263,211,059,681,223,472,529,387,792,976,081,486,705,235,391,683,503,587,
196,841,867,483,626,156,431,912,307,390,629,114,407,769,325,590,074,469,238,
944,400,836,293,415,166,710,661,087,183,550,190,533,949,497,046,130,558,532,
145,006,348,823,218,798,773,569,174,589,786,545,755,803,092,338,443,452,485,
377,185,291,319,169,128,585,542,296,803,354,335,012,054,991,773,121,914,050,
799,389,080,888,430,605,457,457,896,468,184,513,721,360,018,746,902,502,636,
582,868,568,943,136,794,152,489,342,950,574,974,476,523,129,684,155,363,527,
379,338,329,931,796,847,092,748,922,929,625,397,789,212,779,856,920,372,654,
926,673,667,122,781,725,379,921,527,399,211,738,860,501,466,551,763,867,612,
775,623,573,318,065,646,344,605,197,551,591,882,282,094,665,326,861,352,115,
338,995,806,588,957,770,271,002,845,241,892,683,263,471,949,855,462,196,113,
443,317,289,862,206,539,967,430,361,571,496,224,093,923,106,039,839,738,200,
185,364,820,512,468,543,603,946,724,650,159,581,056,333,565,943,713,943,058,
838,202,724,834,743,460,859,843,320,985,039,899,269,238,022,544,563,220,455,
789,159,375,016,813,133,643,483,994,204,009,574,844,639,917,662,962,463,208,
421,796,858,583,471,036,005,578,359,760,857,941,910,770,968,299,965,506,906,
315,800,405,198,222,547,044,974,962,050,223,077,641,182,109,739,333,997,731,
109,004,255,959,233,515,153,126,236,247,919,663,013,690,864,177,072,351,311,
103,511,455,571,890,780,410,953,715,398,766,889,327,885,421,793,749,680,174,
430,951,997,961,749,894,150,571,480,781,032,171,136,127,475,713,107,239,273,
131,891,659,488,315,244,794,654,159,686,227,897,902,093,679,057,643,006,683,
085,761,635,777,262,954,319,100,233,425,296,017,115,758,101,948,397,595,824,
818,320,494,298,312,399,058,596,634,284,125,372,201,145,673,568,974,336,994,
977,573,305,571,350,383,595,025,547,738,773,847,609,147,031,802,475,659,192,
900,978,899,006,692,688,828,332,558,552,101,583,862,989,230,460,548,983,975,
956,141,249,987,150,935,196,267,008,341,477,325,189,446,733,706,991,769,773,
124,007,577,714,040,877,932,038,815,395,923,127,685,576,214,957,848,198,852,
892,771,709,124,344,747,667,091,174,730,642,842,662,539,717,558,228,860,489,
259,963,240,019,582,338,781,869,215,771,581,321,967,166,313,164,514,111,884,
141,032,670,282,844,918,869,438,806,689,253,426,384,449,870,797,980,225,322,
030,537,102,711,311,740,686,990,231,040,601,785,594,282,989,990,330,913,260,
707,478,556,411,627,838,407,711,181,214,416,165,771,287,788,586,079,255,179,
821,557,984,356,809,497,145,083,874,607,870,112,534,122,625,101,345,656,382,
076,834,682,940,295,389,172,011,798,994,650,295,765,958,367,244,391,609,575,
617,985,551,089,520,120,095,630,590,646,532,307,960,017,775,970,416,451,028,
674,002,026,130,555,446,242,148,882,560,246,745,907,540,815,515,183,773,148,
160,247,497,491,283,250,570,882,538,492,244,886,381,011,289,208,269,546,674,
926,776,505,661,523,165,653,119,803,645,606,471,774,888,895,559,835,695,088,
962,310,080,986,824,524,941,983,591,915,004,327,513,643,468,310,127,713,832,
039,251,952,498,330,853,025,774,341,497,670,809,537,247,514,885,454,675,137,
861,832,224,673,404,922,565,241,664,798,530,176,909,267,167,684,374,462,621,
863,572,692,734,915,436,573,912,641,052,767,086,376,259,073,259,184,593,320,
806,102,770,865,468,301,117,318,311,086,087,175,401,835,849,595,519,200,946,
100,363,963,057,969,113,184,550,513,244,463,011,349,257,788,369,688,191,201,
992,842,165,282,648,046,378,394,877,184,120,867,818,345,627,283,912,628,902,
700,012,531,817,759,582,874,363,371,032,743,185,763,634,624,062,869,171,097,
215,563,042,628,111,249,704,553,776,688,292,932,414,959,421,884,199,553,994,
168,338,109,011,626,730,574,168,117,521,754,961,118,102,664,587,496,012,128,
819,738,771,125,407,668,032,534,525,550,716,244,691,839,369,472,239,102,949,
594,628,306,330,174,951,035,455,058,332,133,779,354,244,341,500,728,747,230,
415,335,431,841,705,692,336,442,128,809,025,498,688,665,599,663,688,366,110,
916,506,038,004,073,928,689,766,527,283,654,204,738,349,461,424,011,494,721,
330,070,927,306,471,952,908,618,665,105,831,150,136,920,096,581,433,656,233,
883,713,970,820,965,966,463,174,664,826,258,345,034,308,599,197,014,257,855,
954,559,779,812,050,993,650,072,595,185,683,578,072,267,805,959,652,689,065,
958,391,970,154,116,420,288,463,046,351,329,835,597,735,684,997,244,368,552,
483,927,341,840,554,376,311,651,813,271,739,381,309,494,460,490,464,095,482,
561,607,245,342,286,784,612,636,991,740,375,226,414,617,381,451,268,161,052,
220,709,519,351,388,160,065,578,028,603,728,334,140,855,206,292,528,525,826,
311,941,451,255,958,257,695,431,040,356,559,140,511,797,752,161,607,624,059,
902,715,828,378,368,018,163,257,618,529,003,780,369,998,110,297,716,184,762,
089,115,536,166,101,815,656,911,978,039,236,433,143,245,772,294,076,780,557,
867,421,041,009,597,567,068,739,358,962,736,351,623,472,954,609,600,857,509,
623,982,298,909,904,500,754,995,827,874,802,570,442,573,374,258,586,286,025,
123,524,142,757,495,562,706,075,265,230,849,551,538,305,046,501,491,813,476,
972,421,093,027,640,276,767,318,155,013,033,929,359,270,778,698,858,072,247,
519,324,770,409,581,786,924,468,500,891,946,288,937,504,659,334,706,016,236,
686,316,723,199,028,488,095,185,438,093,602,987,730,365,210,423,603,124,342,
116,904,334,904,709,790,278,239,725,981,475,880,160,932,828,377,911,277,566,
323,994,283,199,842,933,477,591,200,008,765,299,827,586,138,230,206,805,048,
559,199,026,617,380,920,890,783,835,641,127,267,087,737,388,194,187,720,771,
402,782,669,095,268,658,173,938,793,989,406,691,386,252,433,692,337,210,562,
869,293,345,973,014,435,738,994,641,592,820,023,152,495,015,929,485,741,346,
755,489,357,621,359,682,874,260,299,508,921,945,484,627,860,825,755,552,264,
443,281,848,572,460,988,773,906,883,471,086,191,442,190,692,859,250,813,288,
061,375,809,848,552,656,116,831,125,869,489,495,902,380,973,244,872,289,378,
638,449,370,640,517,585,632,836,555,742,314,251,439,105,917,464,565,581,279,
248,776,451,476,632,871,575,426,517,644,439,929,991,562,272,975,723,084,354,
307,541,694,144,220,250,468,373,458,929,357,163,436,283,586,322,455,693,341,
018,014,913,196,657,529,653,878,285,473,168,309,770,792,545,798,336,355,089,
845,241,748,686,943,762,135,965,706,959,951,149,116,351,880,237,445,686,189,
622,973,204,441,255,549,361,991,302,781,428,909,171,665,457,291,688,010,350,
618,183,091,143,440,167,484,000,289,328,139,830,770,053,187,985,779,504,605,
792,384,092,273,167,388,346,326,695,373,853,406,491,498,758,880,573,905,766,
192,338,718,077,932,323,370,287,128,671,668,481,319,667,072,701,079,649,314,
364,980,655,245,575,758,219,153,421,822,844,395,253,082,771,434,441,105,427,
960,115,625,901,095,991,370,397,014,594,129,172,816,047,297,306,129,149,594,
485,325,159,023,951,484,527,418,716,913,212,809,199,221,382,348,664,375,883,
686,910,910,178,171,291,597,876,013,342,339,385,226,393,245,222,533,575,019,
608,798,820,692,784,791,154,285,574,854,681,789,995,210,732,365,801,004,402,
772,191,869,276,275,755,769,463,588,003,876,665,230,478,032,317,315,999,624,
046,526,689,565,222,400,343,238,341,929,027,539,037,385,448,656,072,291,025,
071,746,643,959,512,001,597,948,214,301,102,482,452,683,143,895,267,179,562,
193,109,433,829,001,971,998,426,914,031,975,067,353,797,695,426,435,677,148,
868,028,691,632,481,955,432,712,655,018,997,052,030,861,666,675,549,352,917,
664,595,671,743,958,579,682,653,299,650,974,199,300,750,924,578,228,042,126,
012,406,901,225,612,214,166,108,198,811,398,744,353,833,914,913,648,027,310,
035,777,331,689,649,671,304,205,736,392,869,337,040,588,695,894,513,793,457,
756,508,051,688,325,971,437,287,667,271,896,051,208,734,579,567,183,190,111,
153,933,450,430,407,409,268,538,013,906,196,485,952,047,647,572,928,105,297,
042,738,603,204,672,942,948,550,787,668,624,044,198,673,928,107,753,935,472,
555,318,349,681,472,604,014,288,019,322,699,428,057,184,539,292,841,468,283,
084,153,301,095,457,112,301,905,872,526,280,132,572,423,278,309,095,317,205,
037,607,874,334,063,926,694,394,582,621,007,763,709,899,490,459,347,972,237,
624,022,590,906,211,977,528,698,994,971,876,274,850,873,384,457,894,276,685,
717,834,077,621,656,054,205,130,703,370,472,362,051,788,048,826,627,887,240,
270,158,920,976,704,517,607,256,355,928,019,188,513,706,399,773,804,105,517,
984,524,812,590,077,553,945,399,490,114,870,474,612,511,230,326,591,203,123,
198,701,115,982,017,228,067,439,504,998,932,709,957,364,043,050,925,203,820,
213,104,948,234,387,939,100,365,080,253,358,987,973,001,905,693,677,305,100,
537,619,789,436,443,665,456,716,952,894,612,036,656,481,226,032,048,879,247,
479,789,529,382,079,449,798,114,553,629,983,719,277,350,372,869,057,412,008,
301,924,677,275,800,310,010,459,470,985,105,435,198,796,654,422,227,383,424,
959,087,757,346,247,747,207,212,163,548,077,647,371,992,534,275,440,452,460,
343,769,115,799,338,140,401,438,809,612,268,872,878,645,416,961,921,656,047,
174,410,479,229,707,077,067,649,287,297,184,699,811,872,769,621,269,319,595,
383,497,839,481,755,299,000,928,717,651,594,352,159,177,924,292,550,961,610,
934,030,267,576,931,888,315,454,896,942,275,817,309,472,265,560,980,669,326,
158,842,643,168,769,757,417,075,724,193,603,155,574,234,815,986,617,375,866,
801,009,748,057,381,317,111,609,231,679,032,314,049,929,093,977,699,972,748,
627,528,350,192,699,417,123,994,426,625,975,230,633,192,092,618,748,680,199,
290,244,149,494,732,223,182,689,455,078,801,817,048,165,675,766,922,340,133,
584,324,943,312,721,760,045,304,192,367,467,086,085,126,420,864,503,240,266,
050,021,226,718,511,188,070,312,021,573,412,184,613,312,763,479,167,727,932,
130,749,938,167,999,443,056,912,461,742,536,359,612,690,073,178,312,750,222,
427,639,080,981,180,264,582,024,976,850,347,626,311,371,655,904,506,917,883,
091,487,493,201,115,081,295,631,014,647,656,613,299,401,386,383,877,310,956,
237,747,380,778,653,805,360,413,631,328,518,590,912,743,211,096,535,689,784,
755,581,458,436,721,234,749,480,841,319,021,486,268,116,115,332,810,562,059,
665,100,792,634,968,208,392,058,648,717,673,509,380,073,426,243,441,250,128,
251,735,344,453,871,963,021,648,143,358,568,160,576,230,576,637,858,066,517,
702,231,028,504,566,031,669,546,911,577,199,315,667,206,399,678,693,386,149,
851,079,239,625,564,960,053,893,168,529,250,713,177,818,245,030,627,392,022,
278,837,754,197,038,306,487,289,402,986,770,312,198,813,580,505,449,701,264,
922,121,605,928,774,533,308,960,875,248,323,197,411,257,082,358,641,878,772,
964,142,011,640,065,562,978,153,586,907,704,943,879,387,200,556,159,168,979,
690,309,035,847,844,357,541,647,083,541,210,624,942,982,730,619,404,547,112,
266,420,700,114,212,026,614,848,118,129,637,378,114,753,867,978,999,653,240,
697,014,278,172,150,655,290,023,834,960,138,227,047,526,808,380,275,545,323,
128,551,815,507,365,333,259,567,056,962,878,916,579,448,292,140,831,314,403,
965,349,069,761,897,646,160,883,365,281,752,422,688,014,333,101,783,766,285,
659,915,732,368,265,734,430,225,622,154,082,838,375,496,158,471,994,810,270,
437,695,811,996,293,265,002,774,080,573,018,236,818,709,716,427,863,503,329,
818,363,711,629,428,751,438,962,714,826,390,374,014,786,086,021,772,006,277,
834,562,182,069,555,483,867,568,322,734,701,763,206,998,592,295,293,055,991,
149,061,931,501,955,850,406,054,401,801,030,233,300,713,090,057,190,186,781,
368,792,811,533,775,813,325,731,849,222,159,058,778,096,667,815,253,733,657,
509,369,576,636,130,792,333,604,153,380,321,510,213,939,807,988,900,472,570,
334,066,663,656,834,032,291,191,916,286,650,419,132,733,784,391,964,200,636,
473,777,364,021,914,225,245,822,002,978,311,914,225,383,545,232,772,885,864,
767,560,812,568,310,551,484,038,992,485,251,658,994,588,734,769,706,738,856,
420,746,590,440,595,345,884,200,686,307,989,866,514,093,954,912,350,421,649,
281,672,930,613,146,120,731,039,431,948,381,936,330,368,495,568,980,392,382,
654,995,054,215,796,059,735,637,061,482,749,630,019,313,056,793,109,239,516,
030,968,139,184,204,720,897,102,976,680,222,693,598,628,753,225,884,278,896,
508,404,797,875,377,463,890,411,832,055,289,386,658,372,426,958,383,211,783,
056,908,762,781,237,357,006,378,161,305,084,049,257,033,638,153,956,554,024,
701,986,160,921,636,054,201,565,139,968,875,282,164,606,572,055,904,616,171,
029,144,335,230,239,374,721,594,723,688,614,178,034,128,005,443,588,109,614,
810,625,271,064,520,695,503,852,575,081,847,393,582,021,005,771,252,953,841,
026,283,731,133,507,391,888,998,783,866,198,696,334,201,002,033,495,729,189,
671,661,758,811,722,978,239,790,270,127,661,088,281,172,156,083,408,362,304,
211,823,781,317,524,878,814,240,070,331,021,779,124,164,498,346,848,729,971,
454,842,507,654,263,632,327,743,780,231,200,610,037,901,110,636,455,339,958,
272,591,112,133,858,322,784,268,720,726,863,525,256,865,186,476,808,473,112,
502,636,810,433,674,036,663,224,671,990,150,580,615,460,120,034,398,747,453,
701,996,673,725,544,975,982,141,111,357,768,297,244,018,918,998,066,206,968,
455,838,742,910,244,056,806,023,946,932,550,157,871,016,444,641,611,778,544,
535,529,318,097,267,717,238,489,775,642,589,169,653,607,752,219,463,425,662,
719,121,537,181,100,991,284,457,113,248,235,655,651,333,144,695,562,094,026,
230,455,154,011,121,969,756,848,972,860,466,662,459,166,002,961,650,880,395,
999,428,198,395,006,837,612,242,556,747,375,455,335,389,733,405,894,154,807,
495,132,130,526,477,660,586,386,509,287,294,291,638,444,564,818,344,569,851,
626,269,792,493,912,890,033,410,912,051,628,909,642,100,549,416,913,235,301,
710,552,054,070,216,579,274,345,369,542,985,932,347,205,637,823,736,652,125,
376,443,478,124,670,171,725,571,893,894,893,089,188,099,473,209,304,746,355,
917,340,272,643,204,348,840,574,185,746,083,664,895,075,277,281,158,356,686,
026,155,149,500,713,020,192,018,253,188,804,954,794,669,386,470,406,602,682,
351,259,350,500,181,853,516,929,462,824,376,510,510,284,737,868,452,028,832,
535,643,993,965,489,853,094,963,380,658,198,007,966,757,052,757,180,282,485,
130,088,554,580,468,505,815,768,992,865,019,331,364,923,350,094,931,304,577,
099,120,199,723,510,065,758,737,851,629,861,789,205,343,406,012,894,510,879,
495,852,851,531,766,202,524,032,149,393,288,092,613,468,582,657,919,791,109,
765,265,698,814,215,259,606,563,039,791,787,764,940,678,954,833,873,160,384,
035,842,454,416,254,084,113,496,779,762,862,081,558,183,804,580,379,762,763,
324,880,649,497,672,581,149,270,479,845,747,979,744,859,791,343,502,977,277,
818,701,549,326,340,162,314,029,821,647,293,083,699,240,825,230,482,091,544,
753,307,781,662,359,847,285,084,119,284,665,228,229,597,647,685,812,202,578,
305,669,950,978,414,502,041,401,173,601,730,090,525,566,693,309,612,827,517,
564,754,341,105,278,850,172,275,151,172,738,667,201,890,140,920,216,540,614,
168,340,699,204,109,717,418,979,571,444,537,187,038,063,239,760,079,288,549,
778,179,668,542,989,395,749,023,820,738,066,279,829,774,214,023,209,840,359,
382,553,961,366,263,738,152,756,842,921,706,534,956,308,631,368,050,439,007,
014,092,578,889,924,230,146,941,865,345,537,097,705,116,815,851,043,288,427,
016,578,218,592,686,536,141,615,288,706,984,421,595,315,412,325,345,878,576,
294,028,017,288,630,370,945,443,568,868,981,382,594,181,575,510,169,520,873,
359,058,017,685,769,548,954,567,586,387,168,409,812,886,061,310,527,731,091,
083,179,420,252,600,430,934,778,814,244,346,177,483,335,893,635,357,365,818,
330,137,472,930,740,156,047,428,880,271,157,652,776,271,764,277,187,859,990,
310,036,872,206,895,246,675,030,200,369,409,105,348,554,569,775,487,533,080,
106,369,488,766,920,472,151,759,319,180,757,135,431,706,707,710,501,991,273,
195,652,185,723,064,535,262,600,582,391,081,835,120,745,842,985,308,835,118,
622,697,664,396,218,704,673,422,267,717,599,762,119,035,439,063,719,620,003,
999,453,868,701,643,666,853,347,502,481,164,099,356,173,310,232,137,638,913,
571,615,611,341,587,041,906,702,066,628,087,749,417,173,405,002,753,037,520,
974,780,027,714,789,335,572,270,154,412,614,124,860,760,006,652,791,008,230,
042,071,383,875,173,595,202,292,874,950,032,117,108,302,701,504,562,652,857,
438,727,415,168,626,592,028,292,175,042,582,058,138,972,004,757,628,089,141,
962,670,534,081,538,508,137,834,921,632,763,480,112,055,348,618,005,342,281,
091,734,056,162,231,634,087,694,068,498,691,659,659,867,425,865,852,594,361,
789,655,953,493,541,756,780,849,894,047,335,709,141,587,222,973,817,182,676,
199,519,174,672,713,193,203,776,585,057,869,152,764,702,447,631,286,365,450,
345,601,905,522,585,165,785,814,062,029,271,072,508,076,657,450,795,245,860,
293,958,707,289,684,625,192,292,758,281,726,926,628,747,918,998,884,232,418,
697,292,636,828,920,322,537,781,437,189,905,697,290,822,700,772,464,723,302,
757,171,711,653,406,371,789,454,931,435,484,958,946,736,488,980,132,613,378,
339,233,583,584,629,326,810,772,318,862,966,013,746,644,483,947,207,861,917,
466,213,479,643,796,256,241,425,685,189,273,167,468,288,227,991,552,805,307,
010,089,887,444,901,685,677,442,814,760,649,260,354,568,394,517,705,849,759,
800,742,562,125,134,476,985,818,983,356,024,129,524,815,858,404,832,662,899,
149,711,170,119,785,346,724,312,259,466,191,949,819,708,499,452,693,172,076,
254,475,360,045,915,649,750,705,216,933,937,624,301,033,644,913,166,606,994,
376,945,905,672,406,771,810,557,699,413,762,179,078,997,003,032,005,063,662,
796,633,100,079,784,433,597,797,020,388,311,374,693,245,423,082,804,766,906,
149,489,720,421,809,992,661,645,782,686,645,544,850,379,258,710,595,498,621,
958,589,121,286,490,867,609,522,086,227,582,776,744,113,153,946,145,196,268,
244,803,296,312,554,242,464,695,052,530,028,427,787,030,309,571,867,377,497,
294,813,848,614,859,259,624,249,900,749,113,425,767,889,760,331,128,940,869,
271,239,221,580,317,227,478,998,484,950,811,530,364,765,066,254,525,770,697,
327,529,549,918,826,983,928,648,790,255,760,637,975,974,355,209,020,028,129,
856,724,637,423,274,536,268,146,035,528,858,511,954,396,128,203,969,922,153,
337,445,925,266,464,084,292,862,648,871,839,560,348,528,341,664,550,509,367,
954,642,159,901,840,954,168,346,748,693,367,370,230,869,899,969,662,574,834,
897,791,559,982,323,173,918,058,331,914,489,891,341,698,449,851,106,643,518,
026,854,497,756,460,018,141,844,313,832,975,236,959,618,428,758,357,706,933,
359,230,719,001,479,622,255,969,642,809,031,292,575,404,683,371,726,447,530,
512,087,813,217,423,651,019,075,704,954,784,301,140,219,712,956,302,938,748,
190,578,139,331,465,503,023,289,535,242,856,682,596,332,327,848,532,439,219,
580,838,385,165,748,510,593,947,892,144,174,414,658,376,356,583,238,619,628,
979,223,298,065,025,544,057,312,792,914,274,046,978,265,686,593,435,504,067,
680,914,466,915,926,729,840,489,604,241,241,099,155,556,866,285,154,135,034,
846,952,592,105,796,498,412,627,723,911,962,012,555,975,382,723,147,285,021,
883,502,357,358,023,552,008,330,733,953,465,570,620,355,734,774,689,625,832,
404,097,266,652,473,710,200,097,059,967,439,451,048,703,791,809,898,971,695,
971,578,958,492,588,158,540,176,439,616,865,939,343,902,933,735,768,500,229,
984,678,489,568,963,907,954,138,883,546,946,916,520,144,416,637,845,652,032,
901,394,217,633,883,568,422,180,585,636,648,728,460,252,396,971,986,428,733,
486,951,763,689,252,808,619,831,614,235,243,200,020,140,866,223,014,864,533,
491,494,297,199,602,538,932,854,169,184,613,335,189,371,413,792,387,073,606,
608,308,446,635,658,374,694,669,229,558,481,120,139,596,707,778,930,802,384,
753,060,817,832,283,834,099,542,165,584,680,485,179,798,236,783,195,288,082,
071,809,415,291,997,986,952,662,404,640,074,127,480,990,896,619,715,440,826,
533,189,914,420,398,061,252,813,934,188,894,350,494,498,482,599,010,289,707,
595,859,583,730,766,061,924,628,917,028,897,301,974,264,257,321,796,546,700,
108,281,596,645,935,127,172,239,905,707,436,391,468,359,088,446,754,235,490,
789,740,848,479,252,883,754,603,072,860,687,111,033,179,695,737,306,740,086,
447,744,222,389,100,967,800,571,720,726,058,864,414,513,451,871,166,969,100,
223,583,920,312,644,633,580,211,146,985,631,046,747,893,587,050,893,705,929,
726,287,221,408,966,745,988,629,393,038,160,863,053,420,928,290,557,157,904,
708,262,012,129,870,969,807,963,068,294,698,507,750,990,559,071,733,601,219,
149,068,933,401,736,939,057,477,597,389,495,507,594,057,516,438,623,056,857,
373,489,408,211,862,589,013,918,331,221,635,768,229,831,690,113,763,153,984,
723,325,774,674,858,301,746,474,168,187,309,747,043,145,836,597,878,640,314,
283,403,165,123,474,817,582,525,972,460,972,144,354,050,864,207,381,905,636,
997,959,624,724,716,383,810,854,916,700,479,708,414,104,284,243,989,722,793,
780,157,459,305,881,533,128,858,878,181,317,056,943,335,293,709,554,521,308,
354,267,480,763,158,463,892,947,174,163,340,442,566,847,425,252,724,876,405,
725,761,536,953,703,981,263,815,213,899,072,086,480,181,849,944,733,285,080,
172,460,176,423,333,961,103,218,268,603,111,496,425,699,105,421,151,346,072,
456,487,090,577,350,765,375,666,842,877,469,082,290,998,230,627,877,264,785,
260,887,758,162,060,459,348,932,735,839,037,174,284,463,547,669,233,201,943,
191,470,060,316,596,061,652,249,330,442,813,077,633,374,071,809,099,105,211,
919,492,908,716,772,503,948,663,054,856,398,442,126,600,066,494,485,703,558,
660,821,777,498,735,330,173,735,134,359,992,320,218,895,051,425,874,923,530,
888,081,999,024,662,105,233,677,873,772,788,325,644,535,823,357,296,804,582,
262,654,373,630,746,792,860,552,727,890,139,058,792,783,582,800,051,156,902,
001,965,835,217,103,113,234,710,775,476,672,791,912,794,727,917,129,825,318,
993,279,438,365,525,278,847,904,080,263,287,787,542,116,212,087,750,381,375,
422,784,265,186,074,167,795,436,296,189,404,685,694,064,829,878,345,284,022,
905,954,690,613,142,421,734,321,145,813,363,354,666,247,790,913,326,469,142,
997,879,942,252,435,455,893,145,656,902,025,923,716,194,044,845,459,113,566,
458,816,201,096,640,776,792,073,868,580,647,230,760,348,956,880,030,573,340,
551,913,455,368,882,396,308,523,253,770,978,473,244,122,622,971,645,477,271,
856,381,860,697,777,651,906,142,537,030,963,375,940,658,497,482,252,108,637,
524,029,603,467,036,708,266,216,770,186,153,527,790,412,005,153,453,740,263,
616,747,448,956,044,171,188,874,723,311,816,134,186,701,251,582,370,482,337,
906,554,333,406,344,590,014,356,223,533,566,191,410,465,886,037,256,413,560,
175,176,186,873,610,513,429,861,692,201,267,692,666,245,992,800,363,630,382,
182,421,200,068,787,766,750,294,674,481,123,460,884,356,526,110,291,721,948,
639,551,071,132,553,042,782,346,464,721,017,800,586,819,745,687,770,006,047,
697,972,383,206,786,779,380,038,810,520,364,601,492,686,937,424,661,383,832,
760,112,130,374,904,620,311,262,452,824,427,786,705,671,091,186,434,552,903,
495,577,942,569,277,965,160,364,683,996,328,998,245,244,782,144,667,214,375,
842,394,581,450,279,365,330,785,188,569,131,377,084,324,628,375,935,626,651,
296,696,155,369,193,277,961,614,055,524,256,896,010,157,518,439,891,765,902,
109,673,504,003,491,005,402,627,278,037,380,703,512,435,926,464,164,173,510,
648,565,226,548,960,012,878,150,140,608,399,369,584,208,166,201,774,600,133,
383,171,018,320,031,953,254,242,786,308,051,783,006,713,719,779,473,914,050,
007,014,515,557,205,083,302,121,301,088,434,753,958,938,445,489,428,457,499,
880,453,921,945,529,342,463,761,536,303,214,499,522,854,881,519,181,191,065,
553,605,472,099,892,381,734,819,516,495,739,868,217,481,776,791,205,796,896,
888,740,751,156,042,903,284,080,711,046,354,460,667,267,405,672,428,285,067,
471,325,070,827,338,318,252,926,567,706,404,206,082,306,021,557,829,134,153,
496,080,217,349,596,839,573,325,218,056,249,550,763,999,335,085,680,657,704,
557,218,603,454,253,470,499,094,810,937,863,488,499,590,721,993,250,905,902,
790,011,107,826,516,769,009,351,804,800,708,778,367,418,998,383,773,246,285,
738,474,503,177,801,396,115,624,260,194,027,228,395,745,229,240,794,672,673,
086,986,325,733,158,969,703,274,022,914,757,039,428,322,584,834,670,068,508,
056,322,830,461,416,181,056,553,221,657,621,391,111,534,159,516,265,116,151,
182,103,010,677,647,866,126,343,031,370,726,316,821,034,039,117,435,483,726,
462,466,386,085,757,300,366,506,262,040,715,778,778,176,989,325,873,918,660,
037,720,968,166,012,048,484,004,176,651,607,075,681,497,575,728,027,680,798,
396,920,024,511,508,761,475,910,968,600,733,344,961,885,406,037,881,267,691,
137,976,870,275,561,599,227,859,244,292,870,484,466,531,677,431,174,039,417,
399,653,931,433,588,678,926,720,994,820,427,521,491,868,060,787,124,511,775,
940,371,208,785,624,581,639,019,344,808,396,173,575,069,745,200,332,042,223,
036,412,133,305,995,311,760,948,961,201,617,588,019,119,441,347,913,269,281,
226,311,596,072,973,175,573,171,993,754,117,271,819,793,408,965,792,019,055,
513,914,516,548,320,993,834,051,348,503,374,738,900,601,667,469,062,082,106,
348,149,753,001,323,246,736,707,008,118,967,028,655,460,517,058,159,650,231,
425,775,250,418,748,055,228,396,215,461,086,551,406,923,093,722,484,112,435,
906,049,404,701,466,384,602,331,543,688,839,190,788,643,945,145,044,965,038,
512,171,953,749,916,542,323,005,742,074,869,214,752,977,045,824,863,883,378,
939,036,278,482,521,460,112,628,894,599,273,924,218,452,907,430,397,711,106,
952,159,300,617,720,774,666,656,903,542,961,532,034,910,853,353,380,893,449,
056,300,479,294,728,538,439,855,697,142,364,704,627,972,635,011,812,884,459,
548,298,493,948,361,244,319,710,138,689,140,099,073,205,571,056,653,864,732,
148,663,395,871,150,932,931,500,704,860,901,527,037,991,931,868,371,206,219,
855,523,497,542,106,998,933,853,879,129,474,831,539,215,132,848,870,556,145,
135,583,226,955,192,619,554,027,255,113,355,617,639,266,347,828,008,332,997,
547,033,070,285,986,523,089,790,962,691,216,561,857,490,375,810,166,469,836,
735,574,946,098,291,884,959,285,863,160,938,076,207,635,737,538,955,633,514,
984,124,007,202,044,253,542,384,307,430,821,761,263,128,314,398,833,942,982,
475,715,424,342,801,405,922,352,235,916,728,936,912,860,638,228,511,594,154,
735,262,773,132,159,421,767,428,524,269,790,844,264,571,164,836,599,888,576,
638,509,518,061,042,210,703,218,651,765,296,094,041,568,592,364,892,275,265,
172,505,069,786,178,142,837,646,543,302,687,428,391,540,012,677,188,365,245,
257,736,510,610,449,656,656,490,785,651,011,165,207,546,005,490,434,610,740,
250,114,934,948,356,885,527,258,851,859,523,977,111,760,998,105,376,825,058,
729,455,198,585,910,034,291,051,228,518,656,555,133,319,675,217,204,965,293,
987,231,730,316,185,728,988,756,437,664,438,362,858,044,064,389,957,676,285,
352,688,572,193,693,977,583,107,837,810,248,586,390,654,362,445,356,415,381,
045,449,706,709,016,983,852,626,328,754,620,124,241,878,960,602,665,525,187,
435,344,192,812,159,033,766,835,182,066,389,335,406,243,664,752,051,765,337,
082,240,813,708,252,985,150,190,396,182,767,886,256,713,668,187,107,771,328,
914,837,336,478,616,578,607,944,346,440,499,050,882,373,936,404,022,989,538,
354,432,128,172,484,617,547,772,271,288,145,935,369,251,277,481,292,445,506,
152,915,250,031,811,123,742,617,893,089,279,584,304,069,657,443,543,443,679,
851,863,874,251,660,562,256,736,999,337,603,311,118,386,211,816,746,955,930,
100,794,040,595,450,701,142,885,666,907,942,727,153,217,822,050,125,077,047,
792,959,145,298,447,560,870,056,516,947,143,795,648,909,550,629,855,597,954,
538,111,693,924,248,807,289,393,791,009,235,163,271,536,929,594,389,116,227,
173,023,816,482,444,009,300,863,617,113,367,351,248,210,549,618,430,601,170,
445,723,264,135,645,398,578,337,774,836,179,666,007,286,100,376,591,847,623,
238,611,202,382,535,954,885,399,187,232,541,813,803,182,177,450,398,239,372,
079,686,479,025,832,864,041,231,300,821,779,819,691,137,483,891,312,068,156,
869,518,488,941,236,656,337,803,751,698,769,742,276,195,557,768,823,527,123,
319,764,621,915,418,812,953,250,007,969,458,065,267,894,075,007,936,273,692,
819,309,063,551,268,171,300,331,339,182,567,639,893,584,203,488,701,548,961,
815,971,647,835,515,005,374,693,945,560,538,716,582,645,592,107,770,692,101,
231,537,669,294,869,323,323,996,234,989,613,186,122,559,907,318,873,931,388,
101,686,641,097,151,417,221,198,177,478,040,153,999,379,270,219,293,663,752,
116,690,369,500,071,258,155,639,007,875,360,683,785,783,690,694,754,246,933,
431,277,597,739,938,185,685,543,201,937,137,532,997,755,739,306,659,685,901,
640,309,863,044,523,509,213,501,618,206,277,065,684,471,399,643,967,819,476,
520,858,589,955,785,750,361,661,926,179,533,428,429,368,831,781,378,347,093,
298,041,490,267,523,839,009,998,657,354,951,394,866,269,631,134,782,319,424,
544,719,605,934,607,191,610,832,590,161,241,347,464,379,539,563,681,240,869,
755,138,676,738,803,025,175,601,048,746,936,082,099,522,222,834,449,866,954,
332,294,041,100,327,776,505,823,396,641,471,755,307,177,771,693,189,353,168,
995,271,586,277,285,668,636,672,156,597,214,187,733,036,667,476,632,285,104,
820,497,081,823,100,799,756,369,891,859,003,058,481,836,081,149,859,053,863,
965,296,856,145,928,952,917,875,148,649,327,366,151,517,634,082,365,153,429,
176,162,764,514,266,507,521,620,149,508,860,288,413,311,121,602,449,160,866,
441,807,866,208,980,295,389,355,313,298,897,854,095,490,748,680,565,435,390,
383,034,180,627,866,895,998,729,779,144,782,296,402,514,557,399,805,546,695,
727,102,008,305,469,294,278,537,909,711,741,293,629,655,233,923,721,031,518,
150,076,992,674,749,498,196,260,062,726,072,437,849,763,729,016,712,595,873,
968,061,459,812,074,969,600,718,672,884,453,569,613,349,608,847,234,577,590,
306,670,015,023,074,041,342,081,428,997,081,420,587,535,718,645,523,731,669,
971,016,277,618,488,428,863,852,170,595,292,950,208,001,762,074,545,894,304,
599,336,384,134,704,094,396,871,203,503,841,715,207,570,170,225,816,852,956,
548,292,354,234,682,939,934,213,650,008,513,579,114,282,021,592,652,508,230,
467,451,498,726,641,992,616,043,068,393,402,421,857,830,421,475,646,557,810,
687,860,866,588,911,819,759,360,883,854,979,399,860,571,529,178,354,738,097,
303,335,878,519,714,493,092,526,383,996,373,059,963,024,251,600,247,788,518,
084,318,338,715,467,572,311,187,787,554,552,567,855,224,628,147,709,543,656,
341,809,267,344,589,368,724,402,084,944,631,821,575,617,050,365,583,373,931,
392,975,942,773,490,412,103,936,512,709,845,451,864,280,486,040,502,812,131,
074,339,751,867,173,254,315,077,994,309,715,681,974,028,285,246,776,051,278,
441,768,558,947,078,986,628,016,982,659,293,537,050,744,567,567,739,026,829,
605,726,417,550,961,479,631,802,823,883,365,346,774,685,445,685,285,872,982,
181,060,428,292,685,635,201,899,134,637,441,134,694,823,813,354,358,390,086,
586,364,237,293,462,800,778,034,644,073,602,308,877,999,518,981,228,121,158,
589,634,799,636,700,730,542,310,570,097,420,129,738,508,842,499,569,237,550,
768,412,916,574,167,950,718,520,178,259,570,372,654,345,511,286,632,091,315,
774,979,059,480,910,252,779,323,346,309,551,960,799,320,129,360,601,247,613,
787,960,254,153,258,216,701,198,434,918,003,681,349,213,968,396,960,469,577,
386,038,974,634,200,460,151,936,869,767,584,115,719,996,886,567,872,346,949,
084,222,266,453,222,519,361,076,885,066,879,969,961,624,953,494,499,106,476,
096,358,928,879,437,210,966,174,415,330,993,834,458,495,104,434,608,407,293,
432,788,826,124,027,811,410,187,258,073,533,826,920,919,059,238,841,673,294,
805,793,455,134,456,587,064,993,118,366,804,764,050,950,314,562,783,019,980,
191,901,667,536,148,516,131,293,266,069,587,678,989,381,187,438,061,861,770,
169,045,668,604,967,711,641,225,109,112,411,708,179,710,477,830,980,547,731,
429,093,817,236,257,925,893,739,691,343,444,838,374,419,045,051,898,303,442,
950,845,056,196,590,902,005,461,639,111,916,818,449,500,934,974,778,204,601,
807,491,831,994,777,763,113,702,009,777,065,150,320,493,029,758,937,428,861,
936,023,905,098,015,759,505,070,326,920,007,203,071,235,618,025,338,950,957,
763,945,337,074,768,923,544,285,162,142,671,435,730,773,320,676,667,927,323,
769,666,984,493,057,572,726,446,086,356,602,921,821,835,912,254,081,710,152,
881,361,320,506,091,213,979,660,982,611,278,693,907,306,926,569,086,824,727,
670,805,292,696,850,525,338,037,261,013,813,166,429,188,988,438,774,664,565,
205,243,701,024,803,776,594,664,890,293,143,742,799,485,791,948,784,138,108,
407,305,736,868,088,460,019,921,556,972,595,303,054,516,805,613,598,657,169,
479,638,833,044,649,082,986,980,370,225,987,986,209,307,887,402,544,765,460,
413,493,824,065,506,782,360,431,308,257,395,503,026,589,113,392,870,402,435,
818,844,216,115,197,567,796,787,365,502,100,826,923,665,260,801,670,952,698,
346,937,417,645,785,881,519,236,206,329,967,443,641,066,976,345,529,116,579,
817,926,762,278,862,783,774,304,652,041,497,755,260,514,369,229,251,288,723,
281,903,421,246,192,346,763,207,025,418,202,515,018,142,558,493,858,248,367,
760,113,400,360,393,239,270,760,712,459,726,268,426,253,156,788,910,932,847,
555,008,261,522,872,981,896,567,075,676,464,077,085,213,941,909,417,298,981,
659,287,453,716,854,483,219,529,174,264,044,494,105,671,112,607,733,173,802,
277,119,866,416,042,595,800,055,133,305,940,096,026,473,836,060,313,031,063,
012,651,073,068,157,737,645,127,691,441,561,908,824,211,191,685,029,255,477,
376,211,154,654,040,853,796,921,260,112,392,115,611,785,973,965,832,575,236,
298,470,772,204,910,098,652,390,566,633,015,452,914,593,463,685,307,396,927,
891,157,369,283,665,714,922,864,204,196,850,073,587,228,373,654,007,462,512,
800,977,442,453,747,415,652,591,085,852,267,297,162,868,643,026,134,118,339,
304,980,549,984,388,380,062,505,324,143,374,529,243,801,605,751,089,307,018,
467,454,199,979,992,994,330,798,501,176,074,892,286,686,242,643,461,937,629,
792,689,640,441,975,871,298,939,555,945,661,438,097,823,970,873,962,405,255,
680,349,678,560,176,791,925,075,243,938,969,939,511,067,529,762,159,007,158,
555,330,505,583,453,611,506,973,785,317,829,451,636,623,843,941,115,677,265,
660,899,337,180,092,856,300,146,663,733,543,810,970,665,283,102,302,830,661,
483,993,801,086,934,502,947,017,803,899,467,137,114,357,326,745,744,574,536,
538,110,111,986,309,569,283,182,548,882,242,336,680,599,888,711,054,862,813,
216,313,011,857,761,096,621,168,839,634,729,890,455,389,764,814,429,055,596,
760,071,972,898,240,398,347,991,618,678,823,230,076,591,906,813,186,950,444,
822,672,045,332,225,973,630,528,933,312,262,733,002,587,770,612,185,517,388,
353,765,442,490,446,812,570,560,051,539,914,308,226,800,471,466,742,953,472,
268,480,249,795,906,290,682,486,310,388,167,239,900,194,263,503,971,669,972,
133,050,499,871,448,804,250,372,377,685,864,273,316,538,787,832,296,461,658,
795,399,147,392,293,444,931,498,718,036,212,424,444,790,342,702,997,523,675,
036,841,092,921,652,279,495,069,100,750,479,482,531,090,096,931,460,503,066,
424,032,827,942,274,590,630,417,706,558,808,049,401,678,734,293,077,925,686,
632,359,645,754,334,907,015,170,271,936,308,577,896,091,077,113,684,676,456,
482,476,087,261,584,926,294,297,431,141,415,279,554,024,777,906,070,245,791,
603,993,818,113,344,196,481,587,049,945,628,238,390,398,602,033,701,129,262,
574,026,164,113,647,377,748,459,442,310,071,202,285,378,699,657,427,538,743,
365,323,835,343,993,436,952,160,348,694,611,098,815,089,715,675,175,978,325,
951,923,023,596,695,675,146,721,773,866,726,268,183,248,820,009,239,261,221,
306,250,830,533,604,616,418,084,732,314,971,086,463,324,545,864,893,358,822,
358,977,043,952,965,861,024,477,801,652,006,521,361,442,508,861,886,946,486,
030,292,773,125,251,213,168,832,554,626,151,698,366,103,681,201,860,791,100,
189,963,761,909,490,210,502,849,607,853,594,824,295,101,557,882,265,269,499,
725,001,150,392,649,192,084,620,389,130,143,932,123,938,405,465,167,154,725,
210,471,203,708,646,780,057,503,683,228,703,655,279,322,146,484,069,577,350,
117,694,436,236,712,398,308,794,204,054,355,191,043,048,627,206,269,628,187,
803,418,499,989,161,427,877,605,982,913,787,445,787,813,730,317,793,973,933,
348,887,303,754,615,831,641,296,694,146,716,978,856,728,231,286,687,033,433,
307,157,421,431,802,164,401,993,134,221,991,331,422,838,714,259,353,305,675,
084,776,736,120,775,901,234,985,262,080,557,684,985,547,191,698,934,852,838,
887,154,050,923,388,261,434,889,675,581,145,952,313,380,176,985,027,872,842,
187,465,429,430,176,138,578,084,130,452,565,447,505,477,644,665,716,172,637,
572,959,699,924,986,477,399,181,663,286,727,916,407,438,660,440,786,614,822,
515,097,024,903,084,055,756,902,473,207,010,133,851,463,329,534,192,014,847,
459,830,000,667,583,802,051,770,768,661,392,369,581,886,366,771,958,009,321,
145,789,134,558,767,137,121,386,061,243,613,997,018,310,622,139,423,733,847,
323,406,551,967,278,207,760,288,901,909,443,719,328,323,877,886,441,685,332,
520,666,259,046,957,981,046,779,694,379,670,444,969,243,791,630,253,531,419,
698,252,351,953,680,237,233,906,569,707,831,955,009,131,828,021,214,546,221,
103,031,066,888,700,547,819,360,506,160,982,706,334,003,774,768,457,129,323,
563,202,735,582,822,034,548,337,718,510,695,028,199,292,181,646,306,967,184,
500,540,517,533,603,310,071,876,840,770,107,200,435,207,165,916,984,484,295,
701,459,905,531,065,294,663,875,095,436,323,606,774,292,331,091,566,423,388,
725,852,797,666,129,525,830,219,308,256,071,034,233,858,637,914,645,746,765,
771,598,419,028,603,554,295,146,626,421,876,095,487,414,140,828,728,269,376,
601,522,420,596,738,524,073,363,185,595,282,672,561,821,567,573,204,037,449,
608,013,143,966,314,973,426,014,770,377,842,193,266,149,647,098,029,239,451,
359,760,098,672,582,994,640,385,414,108,630,832,515,216,332,003,019,659,402,
064,690,938,017,917,739,509,812,838,789,309,408,926,527,471,538,777,560,666,
372,690,004,251,872,789,455,773,410,133,825,584,548,461,980,867,856,313,867,
542,849,168,528,006,327,249,778,244,146,034,988,049,611,460,504,282,701,350,
166,886,504,107,660,266,017,868,817,954,773,555,221,878,423,086,662,447,868,
000,282,797,409,697,915,766,288,192,250,459,605,593,771,053,088,868,428,375,
027,757,462,054,367,714,485,744,022,984,450,470,748,494,627,041,660,842,307,
357,009,196,924,525,284,507,163,299,200,749,912,379,791,683,085,578,946,704,
854,189,790,605,838,274,145,067,360,978,560,310,090,152,378,343,226,858,908,
613,996,682,789,262,633,184,485,073,523,966,514,205,271,945,639,216,938,928,
140,569,051,006,278,792,308,372,255,615,050,741,170,198,644,504,955,696,618,
229,666,308,455,751,482,685,067,665,693,210,821,357,254,864,158,957,499,077,
241,755,368,957,924,995,855,991,886,554,514,161,474,143,058,142,696,922,127,
294,708,914,309,180,136,742,354,856,671,399,227,216,624,003,968,582,249,445,
334,228,256,284,872,417,450,447,053,407,130,843,575,512,974,479,867,502,516,
851,080,424,148,718,866,416,548,493,624,189,561,643,753,494,096,525,904,714,
976,305,399,147,376,801,268,610,196,415,589,468,284,350,170,285,312,839,019,
863,396,226,496,551,801,308,949,010,460,223,409,863,898,729,427,515,915,636,
569,938,631,431,159,171,004,994,747,753,552,247,321,015,551,892,765,328,024,
516,894,014,360,238,312,626,081,081,813,570,227,208,220,542,435,001,764,309,
901,803,100,699,120,104,422,980,912,541,521,056,472,982,393,002,241,862,859,
538,923,901,777,935,375,757,870,344,579,539,745,882,388,712,262,856,772,588,
424,842,385,473,064,218,505,767,549,710,430,397,252,344,215,164,952,552,637,
284,838,373,767,004,754,384,317,356,753,080,308,216,636,843,898,242,068,885,
004,784,587,693,026,197,731,329,692,671,307,252,326,711,878,635,691,348,504,
400,483,366,896,943,853,151,642,086,788,067,245,691,367,646,107,696,214,318,
940,506,076,478,248,594,524,471,533,077,970,317,046,966,536,126,689,778,622,
477,436,415,372,509,753,931,115,369,425,742,986,134,693,284,542,667,945,271,
098,450,173,517,897,097,657,819,101,369,807,463,366,702,829,814,563,372,833,
610,133,661,344,858,599,341,573,614,646,575,684,891,719,733,378,779,887,877,
532,072,164,550,513,394,951,635,551,845,152,189,765,094,720,314,082,929,373,
676,670,419,457,096,996,163,375,773,050,945,262,535,964,510,542,272,991,118,
426,307,317,806,323,868,557,519,720,404,512,037,637,789,679,129,592,069,303,
506,382,152,961,128,101,913,003,762,677,232,584,348,262,708,778,540,823,654,
420,265,824,594,274,047,715,423,020,176,062,232,935,245,759,080,165,239,668,
081,116,664,426,488,629,741,097,484,401,471,533,332,335,492,520,630,973,871,
311,081,752,245,763,355,978,823,223,425,666,322,546,305,210,041,266,570,019,
247,144,738,256,566,871,367,630,524,489,156,882,209,895,472,855,082,910,814,
363,556,481,226,878,992,731,207,827,213,504,120,980,588,113,927,019,904,574,
051,360,527,756,453,807,555,650,452,539,193,276,394,207,430,834,019,858,276,
992,867,370,838,080,698,118,356,200,019,227,071,276,665,885,273,449,634,791,
780,862,431,490,444,586,687,523,931,740,491,677,919,038,734,664,146,906,857,
471,486,669,484,793,545,413,675,529,573,226,896,108,976,664,345,486,133,722,
447,924,248,582,778,762,661,159,607,841,539,319,352,903,331,288,338,108,179,
756,636,973,976,441,033,507,009,964,768,896,490,330,153,081,979,334,421,758,
893,190,538,057,927,642,247,443,037,975,127,982,999,073,222,086,786,286,969,
245,709,982,559,929,814,092,337,613,685,965,073,751,089,314,730,242,969,593,
849,070,381,127,477,854,742,785,812,296,899,916,865,133,994,697,075,733,164,
210,977,576,620,459,785,823,110,868,276,354,268,912,240,262,445,784,815,464,
878,841,490,244,124,408,826,107,834,318,855,847,283,104,346,362,452,715,967,
123,269,835,205,114,158,515,073,522,651,513,134,137,509,809,832,584,501,452,
327,426,885,438,231,304,163,162,456,439,442,611,143,101,046,322,139,948,399,
463,633,415,011,677,776,014,024,316,338,715,562,339,244,280,696,773,641,212,
588,473,555,979,556,129,304,685,732,089,017,642,741,278,619,533,057,645,713,
317,383,837,048,287,918,160,894,050,997,826,063,543,024,849,550,594,573,604,
620,106,186,474,453,524,974,644,323,435,560,891,217,955,695,122,867,746,152,
250,183,027,160,264,503,725,690,288,336,414,669,768,614,219,293,955,132,126,
965,237,803,879,737,472,763,527,255,993,771,201,054,764,748,429,476,572,407,
625,520,781,682,403,515,287,050,271,984,958,794,904,387,504,487,461,241,477,
464,928,670,621,029,584,839,681,286,012,351,531,973,447,144,439,769,244,023,
541,361,300,269,730,099,446,534,247,759,517,805,585,793,390,880,937,645,835,
977,619,920,822,615,193,511,596,992,130,075,827,226,227,743,887,274,931,255,
576,845,205,262,405,746,094,227,172,709,690,135,772,830,892,677,872,124,313,
042,872,129,748,684,591,414,188,394,127,211,294,181,914,209,705,251,147,163,
056,173,957,178,186,660,319,901,253,518,623,261,761,099,417,128,085,451,078,
179,018,249,521,435,122,347,266,229,578,633,648,493,228,622,560,779,037,658,
980,197,354,681,668,780,145,488,581,851,740,655,920,540,205,366,128,016,789,
439,595,786,424,649,337,972,482,774,903,121,385,410,097,649,699,588,335,419,
588,873,082,097,057,393,504,625,036,059,706,956,122,212,826,407,657,013,791,
975,620,145,737,868,513,144,453,543,324,904,458,908,976,632,361,396,881,294,
508,716,288,424,568,680,256,741,387,437,599,239,581,240,954,267,450,079,496,
661,593,400,491,462,892,165,140,883,210,416,063,002,019,642,139,468,126,269,
266,468,359,710,411,100,829,562,460,430,023,070,414,325,083,359,404,794,400,
114,179,292,214,780,581,107,810,661,578,364,352,733,999,680,973,890,715,268,
810,952,365,316,488,506,723,380,454,293,751,353,148,648,750,277,416,666,856,
426,980,945,265,821,745,914,826,629,012,003,610,243,769,997,734,061,245,185,
630,104,085,117,118,917,129,178,179,274,158,326,440,012,314,708,817,062,263,
981,115,975,109,951,704,001,862,459,122,953,385,889,144,955,311,741,524,914,
727,660,890,952,384,664,778,178,127,461,799,552,132,358,996,648,621,325,807,
566,211,419,503,859,172,027,649,124,038,704,126,614,993,645,707,397,796,077,
243,845,943,655,761,601,159,522,400,005,786,783,504,370,009,389,953,344,113,
991,944,921,514,695,137,874,879,145,428,455,914,255,761,257,900,998,250,572,
643,843,511,730,175,225,853,151,493,101,582,618,236,984,555,055,101,276,797,
535,401,110,392,962,552,513,443,586,734,719,293,010,071,031,053,412,853,671,
183,518,269,122,681,726,478,800,918,488,884,823,999,820,666,300,739,948,819,
566,085,419,273,824,017,210,067,574,169,237,679,627,375,046,211,285,927,512,
697,374,036,898,991,007,679,060,526,623,162,491,000,059,836,229,925,580,532,
998,240,212,290,171,315,460,381,679,392,424,133,925,356,542,518,657,690,466,
019,398,712,014,359,485,124,933,272,694,683,231,132,275,769,789,066,471,825,
997,814,883,078,106,462,470,183,858,099,051,984,671,832,233,980,024,204,830,
208,922,881,923,137,866,617,480,777,424,805,138,251,981,594,376,597,608,777,
691,879,819,567,828,879,528,322,774,112,262,067,207,750,519,796,714,284,055,
991,784,571,519,722,607,018,889,244,137,670,850,351,767,648,426,266,101,109,
437,228,077,299,988,728,549,894,258,820,752,377,184,829,732,444,322,191,115,
235,459,896,936,995,054,103,782,111,318,700,116,965,966,871,412,609,314,037,
865,849,473,239,191,983,354,675,699,556,426,674,505,092,023,110,350,763,643,
438,296,498,904,135,408,844,650,748,576,758,294,485,616,146,049,973,651,058,
125,911,517,741,804,427,467,895,276,492,654,343,234,769,509,852,804,038,029,
404,804,699,213,841,317,573,981,992,363,027,636,977,572,376,540,914,343,711,
897,856,999,633,425,211,800,119,077,319,924,871,151,359,328,875,576,355,257,
848,150,477,390,723,553,645,332,894,277,178,423,512,426,137,706,668,456,843,
950,325,851,493,209,133,783,209,585,034,342,429,450,520,582,146,928,512,783,
478,596,757,482,171,445,855,257,524,425,554,749,478,731,131,937,013,977,234,
607,017,724,429,085,043,453,586,871,600,753,746,655,040,613,010,322,098,346,
459,537,735,965,236,853,193,706,409,063,012,227,972,186,595,599,194,660,137,
411,668,007,676,023,227,037,822,711,076,532,907,220,567,118,759,836,706,768,
827,500,202,342,706,459,981,481,765,735,543,036,920,247,595,775,135,168,613,
619,956,060,366,305,794,364,870,504,097,516,672,166,379,640,017,048,060,600,
858,643,481,164,973,613,565,011,272,490,660,539,763,419,854,207,213,646,729,
143,625,189,860,535,136,227,617,740,947,843,973,607,381,716,787,176,376,153,
998,644,803,268,720,142,798,485,012,844,109,446,995,883,546,109,760,492,973,
463,482,436,827,382,600,259,740,840,309,551,667,278,656,921,244,907,382,349,
377,368,522,037,759,850,502,926,966,549,116,774,385,401,516,380,615,776,643,
890,570,405,588,881,840,574,701,978,705,771,327,193,514,186,636,778,896,462,
903,453,327,785,370,669,695,295,372,638,502,460,567,754,379,396,610,928,332,
945,572,143,541,887,811,403,094,737,199,700,466,971,460,633,301,977,973,501,
540,809,552,099,939,049,105,815,544,153,739,895,971,453,064,221,766,842,922,
241,393,693,486,757,910,389,856,342,257,057,470,983,944,543,624,080,884,270,
181,829,163,438,383,705,616,459,403,307,387,205,078,124,217,557,138,424,857,
751,752,568,242,903,234,117,871,805,962,716,843,320,612,772,473,543,982,712,
238,467,948,903,090,667,691,469,183,225,180,031,838,900,734,182,173,367,960,
088,325,326,785,324,395,578,992,075,683,416,597,984,101,281,493,785,213,170,
730,216,063,747,209,398,708,049,114,552,722,569,485,592,503,034,585,735,212,
980,879,624,216,547,488,142,210,041,382,509,373,933,196,038,066,523,227,970,
431,700,463,342,797,037,265,717,110,737,470,637,699,968,696,791,759,829,335,
525,274,793,495,593,033,005,539,955,962,782,529,177,507,352,037,057,746,936,
393,839,301,036,911,255,673,359,856,751,818,335,557,648,967,367,887,098,761,
911,165,534,625,301,347,478,732,734,760,819,117,069,920,134,709,646,454,784,
230,639,396,675,645,224,259,627,756,004,507,437,308,865,289,641,677,781,884,
960,668,403,992,259,152,148,568,624,321,472,713,939,512,163,405,796,443,882,
893,154,742,731,031,004,585,668,976,050,757,221,867,350,265,737,861,681,673,
391,554,396,827,614,344,830,469,777,674,267,216,833,026,357,593,881,077,490,
665,039,528,358,409,505,995,434,340,600,227,693,332,172,571,192,009,694,694,
395,039,886,979,719,085,270,573,787,843,426,128,783,096,467,381,688,527,633,
634,779,009,618,185,853,374,717,322,460,092,131,826,421,949,169,676,253,157,
833,659,797,926,976,817,395,463,245,962,646,989,497,869,634,587,231,820,823,
704,814,397,978,009,774,987,897,971,513,185,575,721,560,132,331,327,172,298,
119,868,374,290,342,207,165,158,394,811,718,996,626,156,472,013,478,370,261,
587,729,321,900,779,886,436,509,773,332,152,815,866,003,353,390,564,803,470,
881,338,264,666,796,189,485,185,601,718,220,393,332,348,475,230,642,373,469,
288,230,484,086,251,768,741,623,531,492,182,166,967,776,806,238,392,870,011,
336,966,150,602,899,385,094,389,794,370,989,869,930,338,481,670,204,407,543,
698,424,539,919,589,165,782,118,147,120,893,067,841,175,087,723,105,527,890,
377,364,172,211,375,518,082,341,976,084,839,992,923,671,566,597,395,677,371,
277,213,944,132,375,468,533,998,645,035,748,570,277,686,043,358,729,729,108,
565,684,428,337,870,463,746,005,048,604,874,681,992,883,703,417,767,143,020,
029,593,899,260,537,058,482,899,128,328,581,430,265,147,701,150,741,970,012,
207,590,756,611,967,946,907,584,426,440,665,862,587,508,388,744,866,108,402,
261,271,798,977,691,024,981,792,848,713,444,042,241,169,648,342,647,737,516,
089,695,692,076,914,233,226,088,933,961,557,354,216,148,888,330,386,747,996,
492,648,050,345,387,597,414,320,212,103,930,602,345,068,191,130,916,081,233,
700,182,747,894,608,865,943,158,888,064,326,718,333,232,752,655,517,255,043,
790,399,934,802,133,915,602,885,475,224,370,672,942,633,824,139,363,791,562,
946,255,502,393,097,498,227,154,105,362,349,512,794,809,881,863,662,436,040,
197,303,070,224,372,402,728,168,968,941,985,876,925,431,226,170,779,012,526,
150,664,018,757,442,842,411,675,726,450,747,051,977,743,518,458,169,013,343,
171,335,042,176,750,567,579,883,725,557,267,859,399,037,792,399,337,187,459,
385,155,527,438,028,549,122,957,869,963,096,471,623,528,480,062,196,687,541,
278,451,825,786,091,481,094,625,833,055,704,196,495,155,018,746,410,154,340,
688,038,607,271,257,177,186,852,151,841,609,677,514,352,831,349,386,602,584,
783,917,186,180,387,513,309,698,332,854,708,679,758,662,881,727,059,059,905,
787,214,562,955,142,553,135,513,676,013,285,403,169,792,942,316,361,989,290,
125,595,937,067,721,474,550,948,471,549,192,030,497,127,016,371,394,880,175,
645,480,194,048,207,979,309,948,963,514,196,323,135,812,331,700,543,648,235,
484,914,021,811,854,873,744,261,910,729,996,494,059,087,654,190,846,509,047,
795,495,210,541,577,838,251,176,915,032,236,349,524,601,192,425,393,350,454,
604,419,708,119,635,649,760,510,173,999,659,967,794,981,887,834,020,317,312,
825,088,011,062,602,626,877,726,530,470,494,223,436,359,614,278,925,271,577,
634,159,576,151,014,691,568,827,923,949,551,587,484,630,368,332,623,372,194,
315,297,881,045,028,090,274,265,614,501,409,247,053,004,508,083,951,986,849,
395,935,098,518,989,195,557,716,232,751,574,467,497,756,099,617,841,639,251,
416,068,268,432,613,902,207,339,026,809,294,640,941,815,657,328,842,221,409,
374,810,457,661,149,693,433,368,812,934,912,262,104,763,698,781,959,530,060,
364,256,999,096,013,848,382,082,259,394,846,739,209,171,185,001,355,429,666,
711,672,742,206,603,988,389,422,691,385,510,446,469,696,287,888,657,021,192,
971,096,223,966,977,868,372,544,232,497,878,085,825,925,896,137,193,262,584,
035,582,133,525,512,703,361,650,027,267,090,977,297,912,077,426,811,602,917,
356,906,641,572,686,641,929,256,334,727,708,531,393,924,129,332,824,330,156,
171,084,362,376,840,755,958,159,119,576,606,275,035,846,001,634,741,538,297,
994,833,415,461,608,066,187,663,140,386,409,125,390,302,183,929,980,283,683,
555,093,166,317,646,674,789,406,696,375,220,214,261,155,428,242,621,631,927,
336,062,835,767,934,111,647,999,990,362,369,398,210,369,220,814,771,564,724,
834,319,105,655,229,034,386,650,511,303,654,101,988,320,411,421,057,417,280,
280,554,362,841,867,322,515,120,429,553,583,038,464,986,245,670,827,532,519,
144,700,980,100,861,867,227,044,674,752,167,447,603,159,998,431,998,356,025,
651,286,054,007,306,377,355,661,109,629,842,109,278,224,006,935,009,976,482,
227,769,393,996,372,370,592,439,412,666,013,598,826,061,047,943,729,643,081,
185,933,109,646,853,230,049,908,508,627,175,375,747,543,213,761,323,293,085,
186,762,720,717,278,944,207,428,040,810,580,392,867,455,882,335,945,643,308,
962,962,117,142,648,138,942,918,362,775,713,804,307,928,178,977,729,717,203,
178,185,312,602,718,516,993,958,806,410,850,789,910,420,315,814,268,760,222,
512,892,173,008,368,846,477,597,231,417,610,277,282,440,895,210,348,913,412,
371,086,006,223,035,074,122,125,301,127,625,567,488,743,591,404,451,248,750,
620,236,012,494,532,271,223,251,540,756,590,442,790,579,526,418,722,351,258,
892,941,943,346,806,011,269,850,457,058,070,777,255,402,383,508,164,443,424,
761,529,527,041,611,715,683,683,707,468,044,422,860,786,441,275,104,659,427,
029,328,177,213,164,173,480,627,401,001,964,762,585,964,159,527,367,577,881,
697,821,979,074,951,491,416,519,046,075,437,296,786,601,697,935,961,311,288,
075,011,009,896,365,420,753,152,462,654,060,296,879,836,011,514,211,900,756,
171,237,811,459,123,663,474,302,221,604,691,555,936,322,002,500,868,631,772,
907,701,188,027,063,356,967,574,101,216,046,416,167,727,429,436,725,053,585,
626,066,221,898,409,547,054,568,810,628,438,823,171,274,401,594,487,524,825,
512,327,022,660,144,677,312,087,747,922,307,797,269,585,460,789,193,239,241,
020,329,936,276,713,700,367,059,323,650,233,779,985,375,464,223,489,326,540,
445,432,639,393,502,376,232,050,712,111,759,343,158,118,072,999,874,792,921,
849,673,022,642,518,111,685,156,130,831,185,801,174,187,523,560,004,709,742,
839,500,159,666,383,431,530,081,575,234,700,842,789,073,488,095,424,319,121,
143,995,633,485,428,132,994,621,977,410,311,068,852,233,052,610,908,817,041,
754,303,731,070,106,310,967,285,334,776,815,118,812,005,412,056,251,847,248,
990,442,196,710,047,662,635,233,518,898,765,512,933,116,102,584,777,617,691,
307,069,736,690,140,122,063,969,187,417,248,553,982,362,927,111,163,157,741,
861,640,416,224,254,260,983,965,055,681,052,549,296,780,662,076,916,930,254,
946,232,783,070,493,625,263,561,633,049,095,693,199,408,279,890,534,049,563,
823,527,124,655,550,184,315,208,289,949,062,564,711,579,349,924,633,462,966,
889,040,929,106,359,023,997,499,897,302,284,139,344,044,533,589,900,980,714,
929,527,896,337,049,374,873,329,866,525,047,650,974,651,853,458,780,417,294,
938,471,290,168,018,429,774,856,888,370,757,229,387,967,159,524,780,530,391,
252,779,596,793,580,534,260,482,916,870,363,930,886,241,804,119,709,997,968,
581,997,463,330,762,759,776,488,770,636,684,870,378,686,868,768,151,016,386,
180,388,584,815,786,168,746,171,445,202,054,939,233,693,300,082,972,322,418,
142,792,370,531,748,662,001,808,933,356,508,930,574,829,840,210,786,468,523,
010,670,205,547,674,505,319,852,920,507,979,703,711,356,012,063,256,951,635,
824,834,782,581,378,901,417,441,430,924,352,419,838,900,237,016,449,433,054,
200,784,051,104,606,805,020,313,887,771,545,122,087,859,687,608,698,533,791,
084,799,263,873,640,352,149,394,681,010,206,778,378,724,826,572,594,744,704,
010,284,508,291,891,886,744,988,718,420,927,863,352,740,848,789,146,532,840,
245,551,777,222,994,089,051,888,127,953,319,475,594,117,995,900,768,866,111,
150,778,933,588,405,160,425,804,485,772,138,709,563,312,396,335,191,859,859,
949,359,577,991,146,980,216,756,410,508,599,828,158,465,563,159,606,597,336,
524,563,924,800,634,011,754,798,112,707,045,095,286,567,509,683,869,259,219,
145,884,901,822,285,481,242,634,148,021,956,061,055,498,532,651,365,399,133,
465,719,028,236,618,230,336,510,442,387,558,528,874,625,428,134,147,291,031,
958,620,416,708,504,487,962,169,118,475,626,858,007,807,325,410,493,976,530,
271,103,976,840,873,784,432,955,526,810,487,493,678,589,865,813,724,040,499,
886,482,206,746,632,631,264,435,899,038,675,193,543,334,438,492,486,406,174,
478,201,299,318,403,469,961,882,683,945,315,529,555,977,539,929,013,020,508,
203,026,006,913,957,727,622,938,523,293,579,083,742,385,150,465,620,564,493,
564,786,041,875,178,733,197,724,372,411,483,135,378,312,502,169,397,793,990,
278,427,349,548,214,726,113,254,744,817,585,806,928,755,334,473,653,613,783,
729,618,925,013,373,450,418,767,661,292,976,929,709,675,054,018,491,936,205,
689,245,447,084,483,740,595,802,090,938,517,136,984,459,264,223,902,599,695,
343,337,475,908,601,087,573,438,683,656,215,825,194,196,465,299,174,711,368,
520,625,049,926,945,180,674,865,740,033,206,200,351,328,802,386,917,870,202,
323,335,105,203,483,209,148,654,685,906,091,970,321,436,070,553,863,082,480,
327,581,569,347,473,851,726,985,305,130,563,898,018,604,405,576,307,518,042,
187,910,355,972,814,453,117,729,508,971,587,660,833,857,155,122,116,655,063,
034,197,000,748,527,215,656,583,161,981,957,739,871,788,565,464,632,598,345,
535,909,337,236,037,315,173,298,674,432,257,121,424,189,667,846,450,056,047,
691,025,714,136,717,654,332,803,222,345,777,918,967,410,869,222,124,200,587,
851,409,622,526,520,232,334,195,857,385,172,723,950,453,997,310,279,100,563,
618,283,958,872,157,138,022,132,485,310,644,057,684,849,254,292,332,214,916,
466,312,768,464,424,892,881,577,664,905,118,737,323,253,936,371,016,691,505,
708,912,890,274,830,136,918,891,238,339,317,389,695,014,452,426,052,353,931,
983,211,435,259,641,299,450,721,115,842,342,083,271,780,207,752,682,343,644,
502,994,296,672,678,184,621,354,967,460,275,299,902,923,698,081,779,928,775,
789,854,497,302,330,266,862,137,121,916,148,282,023,124,695,323,767,779,082,
830,090,367,682,736,700,782,355,902,198,663,910,670,342,269,519,353,431,449,
290,598,180,000,251,345,680,225,169,428,803,279,808,787,591,372,887,241,106,
381,624,851,390,628,502,933,962,624,121,300,679,878,225,879,135,898,942,898,
505,926,714,997,217,555,682,639,326,875,779,276,299,552,773,886,190,191,138,
295,220,912,536,706,495,130,103,985,537,308,796,596,256,418,567,824,896,351,
935,026,333,364,491,489,867,703,179,978,522,110,836,673,842,720,030,783,229,
736,945,657,718,281,043,884,664,613,987,287,234,974,383,665,819,131,889,213,
484,460,091,836,204,281,519,851,142,785,842,359,859,602,367,280,514,331,070,
548,302,493,792,720,237,776,960,768,240,867,187,276,749,233,115,256,317,099,
196,753,788,395,682,754,123,861,099,414,908,896,066,122,361,813,855,581,460,
178,216,223,073,924,148,239,826,724,966,539,488,304,480,144,900,800,168,994,
863,335,265,232,925,853,372,851,095,715,956,840,088,902,468,951,601,946,765,
107,336,656,050,897,346,695,257,702,566,582,286,800,826,626,375,498,166,473,
830,232,087,074,597,155,993,472,406,702,520,702,622,885,736,280,788,452,154,
186,663,799,811,886,608,918,994,934,106,848,738,321,107,201,274,517,922,072,
101,895,441,282,993,777,083,998,881,569,026,803,850,632,417,874,817,835,080,
150,647,282,561,089,685,590,487,596,115,906,876,941,318,380,961,409,338,511,
375,308,594,457,540,555,084,511,061,588,295,006,649,041,596,599,550,579,360,
119,153,637,742,167,957,751,483,089,490,108,849,148,562,010,059,392,797,897,
165,305,612,761,552,469,008,644,842,766,082,167,481,751,765,122,507,608,259,
942,417,468,988,074,685,102,128,246,063,561,359,648,676,630,527,971,612,213,
592,954,415,296,164,661,690,659,479,159,219,662,733,607,171,963,703,833,119,
628,545,409,438,090,128,126,083,704,764,043,476,655,775,366,810,383,623,585,
345,744,626,309,431,307,288,089,274,147,870,407,670,669,928,211,811,675,740,
615,718,916,103,236,435,491,484,215,236,100,967,187,588,504,143,834,402,432,
326,491,951,487,167,943,688,362,630,600,139,398,330,377,739,797,847,968,782,
947,833,172,842,853,476,373,301,464,730,707,564,044,626,150,084,826,730,081,
504,002,258,766,356,636,145,442,110,966,963,410,535,141,664,926,165,669,782,
973,791,467,313,537,774,437,903,485,103,877,824,680,784,828,504,358,100,110,
477,236,324,042,940,687,309,031,340,649,751,292,256,649,331,476,103,725,663,
121,425,901,344,799,035,406,017,596,437,962,416,343,858,492,502,901,403,980,
286,610,472,880,222,829,866,639,132,396,662,063,125,484,623,061,371,639,083,
076,390,186,150,481,098,886,386,427,759,272,571,057,872,213,301,757,229,760,
383,094,370,733,726,408,216,533,193,620,616,819,354,913,474,197,843,603,851,
039,463,339,976,504,141,060,605,446,741,813,274,213,114,757,745,704,659,140,
755,606,948,607,533,081,476,074,358,418,947,244,901,803,979,100,880,857,394,
676,396,518,899,216,092,274,723,948,389,643,833,121,990,003,578,807,254,746,
257,610,927,739,506,948,564,561,765,139,160,263,527,694,201,207,637,428,862,
597,354,212,186,665,076,575,655,578,062,235,772,251,943,198,955,004,089,759,
997,471,396,422,583,597,663,057,359,652,583,914,295,842,808,996,121,710,592,
431,564,486,570,492,080,062,780,376,113,303,657,355,905,562,811,579,008,724,
330,306,678,935,307,277,998,929,018,251,049,002,060,500,811,342,544,424,201,
180,359,409,798,102,589,412,130,088,395,639,580,825,004,652,824,037,602,572,
318,616,995,367,382,002,493,829,422,310,971,134,031,628,106,702,943,138,995,
157,440,865,756,493,284,128,688,354,119,216,311,353,735,571,840,705,074,206,
382,161,365,294,105,266,029,116,195,950,648,337,812,441,432,748,817,981,096,
387,799,193,546,429,989,814,530,832,287,621,221,625,817,114,480,049,411,406,
427,521,842,201,567,343,298,704,242,520,027,650,705,167,533,995,116,215,331,
888,754,657,041,191,999,773,020,099,804,344,014,608,258,240,647,035,064,207,
372,715,509,711,518,707,609,909,884,667,195,613,936,282,301,985,531,281,752,
110,841,956,167,924,050,832,586,889,888,385,087,424,736,272,574,635,799,025,
199,069,188,201,046,480,481,493,177,649,707,495,875,602,031,553,537,969,159,
529,365,167,864,673,206,631,533,264,202,795,967,222,898,875,479,601,506,679,
266,733,939,723,447,503,029,134,575,492,700,933,674,389,262,931,710,805,330,
426,415,862,593,042,189,801,673,791,811,302,846,108,268,782,884,730,657,861,
919,292,761,846,428,870,009,689,450,928,825,218,415,742,201,325,435,750,443,
240,139,366,897,549,719,862,808,016,195,408,142,280,684,775,860,652,078,473,
343,561,615,674,592,082,696,671,825,139,027,461,998,070,608,449,165,896,061,
797,129,595,628,707,524,077,635,287,368,590,129,301,438,848,495,883,408,953,
400,704,415,685,651,055,054,639,180,321,298,345,167,071,929,785,275,294,611,
312,727,957,667,236,478,519,913,659,862,611,778,616,041,935,179,084,492,954,
320,287,980,529,105,909,360,290,350,195,086,776,709,566,896,914,162,704,316,
156,675,469,647,086,910,827,697,041,157,872,314,707,412,141,392,149,934,094,
345,450,667,726,938,989,620,093,166,944,163,212,508,497,415,635,324,020,498,
530,403,812,553,290,201,987,285,817,161,841,738,175,581,338,434,967,451,565,
997,645,019,548,129,571,822,134,428,343,785,281,522,865,139,195,700,376,506,
195,956,029,211,818,205,924,117,868,337,790,937,745,052,105,242,530,643,507,
748,328,222,286,997,798,832,768,324,820,578,618,212,122,331,239,070,825,705,
103,432,768,359,333,397,235,574,433,071,000,435,419,724,609,026,567,779,141,
708,050,038,291,728,277,399,067,129,844,111,586,809,272,703,771,677,007,222,
578,968,372,183,535,299,665,946,832,100,574,440,366,462,125,511,878,704,498,
088,969,478,624,150,968,278,255,771,005,181,194,073,308,530,877,802,544,836,
925,387,500,015,622,837,876,976,976,466,013,545,014,922,821,797,944,202,928,
793,616,394,222,322,964,830,345,420,351,025,982,437,630,636,139,457,222,543,
055,735,427,129,283,147,865,271,104,440,181,418,267,981,946,272,897,897,670,
786,308,628,194,519,180,877,480,445,335,874,171,198,739,360,074,583,108,873,
796,454,130,089,544,765,182,767,869,826,811,062,873,318,526,074,204,987,577,
812,537,835,938,967,284,633,728,553,950,646,061,667,995,913,107,685,561,723,
014,607,110,149,299,373,851,338,750,910,092,507,406,489,826,646,783,882,915,
267,804,707,709,321,930,945,898,250,968,217,950,033,856,932,629,208,026,870,
400,814,206,519,419,754,792,706,466,828,534,521,402,796,452,136,291,418,352,
321,987,339,429,635,711,462,611,318,687,633,543,848,694,504,223,405,232,849,
741,907,446,880,889,968,662,400,857,927,589,664,477,407,589,358,502,928,556,
514,545,846,476,682,326,524,009,625,512,830,584,699,568,997,983,527,812,129,
373,592,748,042,065,021,776,471,487,436,116,664,506,719,312,347,171,978,504,
840,461,285,191,516,742,464,546,226,104,380,382,615,936,681,183,574,770,116,
782,047,318,665,707,922,366,014,247,639,704,104,978,960,355,237,351,981,578,
398,384,913,680,352,411,288,156,186,687,383,743,636,376,587,392,004,100,848,
418,376,287,802,758,957,859,608,798,316,464,008,924,682,055,074,167,259,027,
245,527,180,044,912,196,707,453,314,460,228,231,138,557,054,371,510,099,153,
227,856,403,589,868,066,024,879,221,318,153,450,908,072,608,699,913,750,555,
737,412,404,828,794,454,679,451,326,846,362,417,935,895,797,721,052,064,789,
067,619,947,613,951,846,567,509,955,299,949,356,983,505,750,956,070,654,235,
079,324,979,540,950,820,888,927,532,532,523,292,056,093,741,779,922,400,878,
543,407,394,539,808,710,349,979,366,283,564,369,932,224,259,095,769,388,831,
795,867,686,383,532,256,559,076,425,067,002,151,457,004,203,365,430,304,723,
494,003,605,470,016,869,225,447,179,003,560,001,806,461,401,430,635,699,434,
769,675,661,945,866,936,957,601,285,310,631,101,787,904,384,569,563,164,094,
884,410,520,394,963,741,449,792,148,119,963,308,293,282,190,022,362,886,192,
945,272,038,555,437,005,885,854,624,095,549,717,509,563,717,246,627,441,565,
879,630,168,015,436,275,312,655,076,266,978,900,807,313,040,155,504,220,844,
461,528,199,635,240,244,663,535,034,808,977,713,533,545,632,443,407,437,088,
581,970,591,224,814,575,711,281,408,618,132,417,120,447,277,369,867,695,911,
269,370,587,735,232,141,034,223,345,065,479,634,754,575,673,551,275,339,451,
700,822,984,403,625,985,360,083,019,763,648,077,284,781,902,413,176,687,520,
033,392,364,742,560,104,478,382,888,372,298,790,304,698,744,057,886,178,199,
211,163,157,450,647,619,167,963,866,917,876,565,722,413,974,975,715,767,076,
713,704,031,917,232,597,727,656,326,395,188,932,516,432,679,507,156,852,331,
499,161,989,411,671,436,780,024,635,481,762,508,674,110,466,942,436,949,804,
217,698,835,613,772,791,211,408,789,038,505,895,659,112,350,104,351,874,232,
592,906,005,579,871,389,404,820,944,634,273,506,846,247,137,450,019,616,729,
935,786,095,289,377,582,296,825,973,680,314,133,944,582,765,402,863,077,432,
222,848,709,588,449,056,462,687,657,604,899,692,485,178,421,640,371,985,849,
804,374,397,487,129,250,319,367,597,422,045,585,829,922,884,155,275,599,392,
738,712,998,919,360,769,611,920,537,729,975,112,912,669,204,660,960,980,297,
508,674,561,350,455,750,591,582,384,111,541,798,274,048,589,901,273,645,229,
142,991,546,457,121,172,688,925,018,381,900,780,917,351,445,394,436,360,114,
402,239,382,632,930,970,039,695,675,219,697,042,448,659,316,852,416,732,770,
964,293,587,041,942,210,897,665,745,712,255,762,338,156,284,120,659,018,461,
409,759,398,345,176,459,054,187,152,401,661,398,841,258,787,075,491,664,334,
312,296,256,210,560,926,180,144,341,755,495,400,853,319,407,698,353,329,106,
563,533,842,130,909,992,816,425,690,405,550,463,654,657,476,193,240,608,993,
440,452,962,253,675,647,179,259,024,644,732,122,900,815,054,153,346,395,002,
242,579,697,291,012,484,962,228,183,099,734,475,081,935,172,567,366,762,694,
534,982,394,358,331,660,830,548,336,865,954,163,386,565,821,357,429,144,771,
534,519,944,198,184,789,735,305,951,340,712,504,986,908,482,522,491,174,492,
385,806,532,116,562,368,294,398,219,077,839,680,102,352,868,185,108,538,586,
484,936,830,148,309,441,421,727,988,927,159,087,073,997,387,073,927,321,178,
932,681,459,036,058,885,797,495,780,554,657,242,013,920,262,074,901,307,734,
683,842,228,401,949,866,262,191,003,108,736,824,887,968,287,477,508,382,674,
427,223,137,256,935,866,282,793,091,100,463,816,930,564,143,914,481,578,612,
911,619,521,228,638,676,044,189,395,275,687,415,201,993,705,341,559,113,594,
426,958,062,936,190,616,679,587,703,924,314,905,644,469,314,671,691,352,215,
188,989,872,116,921,670,215,408,237,703,679,051,582,526,699,677,946,274,186,
391,989,374,508,743,319,164,987,997,800,076,642,029,362,124,930,040,053,321,
570,285,659,754,558,987,544,729,444,621,113,752,661,395,352,522,886,529,549,
944,654,170,320,149,663,061,250,392,918,769,410,770,497,356,873,862,367,049,
971,599,247,336,317,256,144,908,357,525,452,775,059,450,502,918,615,447,811,
859,188,430,425,592,067,931,500,096,355,804,218,248,857,425,217,133,338,102,
722,489,805,978,702,611,726,109,656,591,816,642,196,262,086,290,573,058,121,
397,335,992,300,795,275,414,473,051,593,207,856,582,063,334,820,881,373,422,
673,129,601,831,266,235,260,408,195,253,745,106,484,722,521,704,035,291,606,
052,847,287,851,462,991,660,690,478,669,906,692,632,617,818,831,706,890,372,
144,201,814,765,038,568,413,602,001,766,852,834,408,419,036,397,200,589,463,
238,271,671,383,028,066,765,315,397,855,250,869,798,921,719,139,127,526,040,
458,798,041,615,840,235,620,073,560,540,521,785,417,622,162,628,245,620,876,
298,924,517,152,981,619,898,621,807,176,401,715,845,599,964,880,322,222,656,
247,314,378,084,859,393,840,997,537,968,683,588,648,107,633,044,855,854,471,
286,632,081,856,847,638,748,653,629,375,528,533,747,865,514,094,042,733,332,
773,475,818,757,224,023,217,565,244,201,303,187,158,738,201,445,462,401,649,
815,817,850,814,507,778,647,724,123,604,087,846,070,115,972,203,994,639,609,
746,239,076,389,227,936,827,313,103,193,914,261,931,317,362,864,948,120,346,
727,054,013,205,638,383,129,761,544,387,548,956,459,711,341,788,731,740,585,
070,936,903,237,859,305,026,084,588,015,764,713,464,878,796,311,968,875,195,
590,410,695,030,327,837,704,073,293,742,922,219,371,906,040,407,421,546,960,
634,686,525,757,661,154,620,980,074,397,703,493,863,834,591,350,470,014,548,
175,938,948,845,595,155,919,671,337,186,813,144,157,543,010,882,724,238,148,
422,489,829,240,900,841,225,625,385,428,411,536,628,150,291,746,275,889,302,
080,214,398,849,571,131,955,579,418,008,951,417,146,455,926,865,546,131,333,
672,978,144,008,698,633,137,280,512,481,327,059,547,878,850,985,510,462,750,
637,567,112,293,111,065,645,619,562,306,409,914,012,565,082,731,255,681,900,
676,389,504,436,020,145,935,010,525,214,270,229,647,545,349,136,484,123,834,
290,918,106,669,394,401,114,423,992,593,402,094,020,071,944,823,906,712,686,
311,754,495,812,586,923,278,593,678,210,058,600,914,292,406,661,932,060,595,
801,014,357,539,042,621,148,654,359,470,130,667,726,458,958,885,014,021,799,
933,178,128,831,718,832,712,649,873,679,340,103,359,546,766,476,058,945,710,
867,034,104,506,310,692,824,714,227,554,725,920,508,687,330,408,413,651,068,
659,455,371,424,538,414,398,057,741,057,932,519,036,375,898,035,938,040,800,
791,782,172,220,650,686,101,556,011,398,010,903,779,784,007,901,836,924,009,
453,508,095,242,955,378,383,186,812,732,797,587,014,636,145,331,001,737,820,
520,907,441,152,726,406,606,921,990,568,469,546,886,276,435,138,171,281,532,
670,505,012,279,876,458,509,877,309,925,998,850,421,332,051,927,140,738,255,
108,365,719,125,783,206,830,991,340,400,698,753,598,981,992,005,906,703,070,
314,077,234,264,947,044,318,187,446,993,910,643,469,511,453,871,720,841,774,
486,977,854,253,119,889,372,216,689,710,588,773,201,684,653,028,205,557,997,
282,818,067,305,526,957,751,269,470,777,506,793,463,524,337,324,116,753,067,
205,251,869,095,054,552,622,625,703,919,129,341,142,657,620,520,975,112,177,
921,284,053,592,645,339,818,036,475,225,071,581,304,234,588,488,443,055,624,
271,501,364,368,952,692,271,305,706,005,007,118,854,808,255,008,510,210,280,
375,604,851,229,604,553,176,302,381,593,718,051,854,305,603,773,235,796,580,
335,257,239,995,818,344,713,018,192,769,087,771,437,634,125,576,111,641,263,
487,380,404,265,069,475,993,206,959,799,098,449,230,513,574,685,908,617,475,
070,545,854,264,642,623,605,188,950,619,781,518,757,586,157,954,809,525,585,
783,190,822,462,364,893,818,430,379,666,483,637,294,031,827,761,441,780,236,
293,026,257,155,942,250,898,978,179,980,939,102,234,747,295,121,671,009,113,
021,099,347,644,358,475,472,620,978,050,688,910,071,049,825,191,835,820,259,
472,357,597,565,926,242,770,897,498,111,895,651,859,403,428,716,068,987,621,
784,298,365,441,071,783,684,825,808,302,487,964,121,488,560,969,847,012,403,
511,122,449,678,015,351,334,296,368,541,530,965,707,733,587,072,750,093,694,
139,180,384,434,391,323,904,904,458,892,046,471,678,249,649,027,929,042,606,
703,761,308,781,055,109,639,410,792,752,959,427,679,180,194,590,486,792,549,
277,454,502,803,389,295,096,389,121,216,753,114,354,277,761,454,328,368,481,
716,663,448,898,591,131,041,182,185,774,005,701,048,818,395,834,111,939,050,
724,864,247,844,616,727,181,642,344,591,463,929,990,731,897,094,417,765,387,
599,227,370,651,219,889,495,207,997,429,310,116,778,372,265,754,428,226,585,
320,924,137,304,725,276,944,683,484,430,371,484,989,950,649,973,656,240,017,
378,246,900,588,784,041,853,506,084,580,114,047,735,671,553,203,722,734,732,
396,774,567,961,133,093,013,752,444,366,441,034,977,527,486,503,498,735,963,
688,374,245,199,098,854,667,969,682,678,867,527,113,892,536,368,181,925,777,
493,948,132,545,936,694,620,413,426,642,146,146,606,811,041,438,935,490,315,
260,776,968,404,177,677,087,552,084,928,777,403,150,728,688,569,529,621,058,
404,789,959,067,913,638,776,885,719,442,278,978,989,404,871,354,865,370,386,
983,652,562,937,221,023,236,587,255,639,544,460,790,818,436,492,389,270,466,
946,146,926,248,491,938,661,571,117,719,342,602,255,873,436,563,812,102,445,
664,200,806,647,932,321,242,470,692,633,720,117,059,738,009,608,992,458,667,
092,038,683,343,266,719,056,979,909,596,654,692,491,520,019,626,784,807,728,
544,613,969,275,938,005,704,075,738,612,125,499,726,221,871,707,042,352,208,
044,892,882,161,596,994,611,572,444,129,629,070,679,417,189,945,360,279,094,
985,048,902,407,985,448,928,246,576,822,165,417,764,656,342,379,643,524,078,
588,029,132,483,368,192,640,958,642,526,802,813,011,927,214,283,890,217,146,
462,190,803,685,556,267,591,091,973,851,209,618,690,758,228,506,918,041,471,
346,518,786,541,540,806,410,602,193,204,331,189,336,808,344,386,397,398,028,
631,174,696,733,912,476,230,497,555,503,258,810,563,406,120,290,752,894,976,
087,076,859,830,367,017,107,300,337,386,822,450,927,835,502,013,505,067,772,
677,055,525,003,793,181,835,027,849,987,776,813,728,060,464,975,296,957,831,
004,576,248,298,356,736,245,813,028,236,467,346,239,736,348,019,260,889,963,
433,139,486,076,142,190,396,264,634,430,521,307,197,949,303,143,002,607,473,
891,014,284,358,857,276,160,997,243,408,666,900,306,824,224,086,599,738,691,
661,965,378,304,969,850,677,943,496,929,704,765,381,921,857,918,680,357,351,
767,789,728,140,705,491,843,963,226,230,794,863,554,447,704,965,226,813,308,
068,484,535,013,990,210,376,032,563,395,616,129,088,802,663,154,890,226,034,
514,032,228,758,628,955,599,579,724,050,926,032,675,857,433,326,757,046,669,
374,672,335,490,269,810,123,705,679,439,877,856,673,213,569,971,834,823,879,
249,020,031,912,246,233,593,515,150,174,306,678,448,667,217,705,209,993,264,
861,679,652,426,419,276,028,644,758,813,265,734,629,725,181,247,650,897,396,
779,979,603,259,137,201,379,344,522,651,785,276,771,887,531,826,948,104,589,
059,961,423,349,431,890,338,486,357,852,059,148,500,716,175,796,508,508,083,
606,008,322,003,163,470,625,966,503,045,355,866,117,609,393,413,499,861,147,
252,902,594,862,915,298,145,748,584,432,295,329,872,124,669,206,911,396,238,
895,789,362,077,834,560,822,632,643,081,539,805,329,387,288,727,503,097,126,
525,733,349,257,914,094,741,965,707,992,379,961,457,367,502,393,186,471,488,
996,060,414,729,849,239,790,416,351,549,080,406,274,433,986,827,422,064,352,
406,201,961,812,380,300,613,551,549,772,377,304,486,705,826,992,896,416,291,
830,560,649,694,328,324,976,309,371,459,065,356,946,677,415,837,282,967,298,
670,781,571,892,702,763,290,211,450,923,716,082,090,076,636,908,558,687,402,
386,853,727,888,430,215,677,901,863,124,019,276,932,799,598,803,448,959,550,
854,289,452,664,146,443,329,636,266,471,471,383,293,664,549,497,977,624,533,
200,313,576,293,436,594,292,798,610,694,273,229,299,578,512,392,255,288,792,
449,578,731,652,005,334,585,471,704,953,949,474,325,922,326,854,184,836,309,
700,462,086,123,936,128,356,448,716,876,261,962,477,914,829,478,893,820,521,
182,420,176,509,038,598,537,423,476,213,804,181,140,391,144,557,642,617,214,
210,495,775,402,844,449,303,620,713,466,600,964,264,957,949,091,532,216,338,
815,895,454,856,302,908,097,363,293,019,817,330,885,990,556,545,295,579,005,
834,005,327,956,595,316,577,706,259,937,627,632,271,761,331,666,382,875,979,
662,628,915,794,123,788,397,702,550,643,361,434,859,088,890,554,388,148,139,
700,673,472,316,964,793,775,449,182,662,311,866,677,487,586,501,725,610,665,
515,562,548,771,030,032,950,517,980,704,503,587,648,172,705,044,285,691,051,
118,743,563,300,936,217,529,871,650,604,141,239,158,407,689,267,882,014,425,
401,360,426,419,139,955,681,810,309,972,499,859,112,920,867,900,764,794,881,
119,167,192,861,699,074,906,738,718,311,921,464,329,335,046,041,646,634,465,
328,602,257,823,832,602,297,503,455,985,196,075,796,892,365,804,705,130,517,
369,189,781,209,766,317,032,224,536,413,643,262,231,101,889,845,875,967,466,
907,457,333,807,022,987,505,792,998,113,189,866,808,362,470,357,517,214,711,
694,870,552,092,727,761,196,525,370,141,367,175,029,460,168,116,162,075,050,
880,379,210,505,800,018,849,054,218,374,319,027,070,773,634,176,824,782,855,
710,269,124,020,151,979,084,090,594,655,390,142,968,571,628,578,730,359,510,
992,228,786,240,124,830,378,933,438,427,645,710,506,300,142,271,985,266,387,
868,724,109,903,219,952,663,291,741,238,108,435,873,620,995,862,824,718,367,
400,879,056,495,060,807,235,667,156,411,327,456,755,596,404,840,366,239,607,
643,253,025,232,321,159,685,163,450,194,476,273,807,195,063,073,129,977,482,
037,203,865,575,578,868,299,314,698,647,282,313,635,823,048,129,345,510,731,
532,190,927,241,366,900,643,778,311,351,718,245,756,320,137,960,487,861,953,
511,077,497,667,329,676,050,649,481,578,634,961,383,832,426,576,303,407,419,
175,450,236,573,986,788,417,115,176,570,530,652,237,279,329,511,560,837,632,
682,267,600,772,015,307,812,683,323,804,509,021,075,088,043,617,830,826,023,
312,975,400,104,797,307,661,258,746,740,843,905,154,556,520,844,035,618,730,
094,565,535,343,621,788,205,936,120,569,666,979,395,369,044,942,911,579,112,
850,379,332,722,162,707,537,139,229,567,800,564,360,327,845,472,374,711,030,
444,676,880,826,405,722,777,592,079,179,987,461,684,902,420,713,805,774,878,
300,966,364,541,253,309,915,164,124,693,453,052,745,157,868,678,258,823,164,
168,909,257,852,013,797,028,590,108,416,179,039,372,514,447,430,139,676,740,
051,186,271,573,124,973,459,867,464,774,427,029,220,804,748,948,790,756,218,
808,462,147,035,758,917,237,943,077,583,907,768,388,858,705,810,387,976,576,
006,359,865,627,588,583,829,490,719,176,552,217,337,100,805,121,501,295,486,
605,672,995,823,947,114,463,477,807,534,995,141,473,207,331,687,871,381,949,
443,436,290,706,129,400,444,022,077,621,697,166,825,307,866,969,638,813,625,
867,149,758,631,732,745,706,311,814,922,727,296,580,325,258,685,554,768,953,
604,393,959,366,458,538,871,107,893,432,522,262,760,269,249,521,142,096,160,
641,082,919,577,013,893,736,327,882,278,250,651,012,282,048,172,470,815,590,
039,601,212,190,524,162,382,522,982,037,861,494,718,604,504,897,851,179,674,
250,898,082,552,507,397,748,766,349,235,357,584,732,659,072,696,038,758,222,
404,853,863,692,808,643,031,802,723,347,992,574,079,401,291,820,415,338,111,
579,164,500,556,504,435,712,400,877,295,783,854,168,206,992,967,461,201,772,
452,415,755,691,440,130,458,979,159,806,177,576,706,223,107,586,647,073,181,
324,161,823,259,396,378,027,458,366,586,104,818,926,376,816,418,556,059,827,
216,162,961,186,274,936,252,367,339,168,484,143,185,588,475,679,930,465,363,
147,596,714,763,600,113,249,948,051,374,620,392,260,224,378,907,346,609,976,
105,429,359,414,173,573,086,554,058,258,571,191,341,927,774,567,658,970,748,
461,027,181,354,677,747,603,561,776,913,293,916,918,524,893,463,834,882,124,
266,114,883,834,306,861,596,494,766,296,861,783,092,357,609,312,591,311,687,
117,163,061,950,602,972,540,789,656,618,607,350,287,545,328,712,542,929,070,
164,414,671,352,558,257,069,786,489,882,329,235,540,886,425,073,947,515,431,
265,645,787,385,000,452,304,303,462,619,195,459,600,982,178,033,175,329,409,
897,191,999,232,257,593,988,446,251,230,242,742,517,050,221,196,507,702,393,
938,605,106,700,806,581,394,726,957,845,423,088,373,685,744,527,753,329,694,
042,351,335,327,786,752,406,943,076,025,617,622,776,777,673,460,852,523,484,
823,499,642,089,891,064,248,405,327,392,415,667,868,079,957,397,583,768,574,
551,732,862,898,807,483,182,038,765,163,790,396,709,679,054,960,370,968,253,
684,321,910,919,003,128,635,824,691,662,479,419,823,735,665,431,096,006,589,
914,274,455,208,282,848,371,626,971,682,466,763,957,947,400,054,816,008,116,
118,260,334,608,124,520,558,151,578,740,860,640,702,468,072,339,101,263,313,
732,648,691,260,158,135,898,869,875,322,900,146,407,590,556,178,868,234,827,
958,319,748,715,756,230,697,969,146,601,877,341,655,680,685,805,496,170,568,
230,867,311,748,160,077,777,400,132,889,708,975,355,929,243,269,464,660,869,
046,436,171,911,691,284,626,891,424,743,355,458,451,444,979,874,459,409,712,
261,081,899,812,538,227,021,564,758,638,829,104,268,937,740,989,663,104,034,
172,570,449,870,073,202,328,242,078,583,442,419,127,468,980,297,562,372,617,
018,476,344,986,191,645,198,520,765,030,724,851,360,171,524,705,558,574,271,
569,366,758,972,752,451,253,135,512,349,908,477,327,386,290,169,457,229,263,
327,574,855,005,763,007,969,144,272,221,273,101,614,689,341,179,229,670,626,
558,108,577,291,784,630,567,600,424,005,086,679,521,893,128,733,650,076,464,
604,948,143,532,080,743,209,187,929,059,180,415,675,347,861,943,774,975,867,
846,621,920,298,566,083,422,514,922,232,933,751,836,309,016,854,935,417,518,
958,578,566,660,373,550,855,569,878,650,947,971,313,424,659,492,105,925,175,
134,307,449,031,051,839,589,683,328,660,735,889,833,782,205,186,870,607,978,
790,619,628,273,376,764,049,628,054,663,429,210,517,572,852,022,732,913,223,
586,542,935,643,826,279,630,795,783,351,888,903,793,510,807,893,877,288,755,
690,759,327,877,629,705,794,408,016,304,830,716,842,625,525,897,280,523,213,
964,691,444,482,208,582,319,143,488,128,183,376,362,513,145,478,092,221,722,
061,262,078,935,282,713,696,918,676,432,890,791,545,896,746,329,341,801,020,
968,431,291,882,579,597,626,835,524,445,205,849,327,478,696,466,533,336,381,
159,778,076,626,819,516,528,175,626,547,409,293,463,704,225,928,165,495,952,
754,836,707,829,567,017,859,755,615,758,586,530,939,271,606,734,181,241,221,
846,019,583,686,078,838,164,078,320,913,353,971,629,886,627,065,502,707,228,
054,573,521,417,690,555,177,816,088,238,444,368,153,110,393,999,485,341,254,
163,337,205,677,315,610,079,994,975,537,683,477,717,838,623,968,883,605,953,
470,853,661,773,767,687,226,750,216,093,801,824,026,792,147,835,070,500,233,
976,016,855,764,999,187,829,718,003,658,169,172,711,659,374,220,567,466,047,
992,313,511,660,510,379,312,409,292,618,838,484,497,326,750,190,237,489,493,
738,195,963,034,084,666,781,762,924,871,320,120,490,778,475,618,776,980,576,
017,054,036,968,887,774,785,153,142,609,481,408,156,865,632,651,569,117,371,
513,435,351,373,472,915,982,119,310,474,171,099,626,988,449,614,305,802,284,
869,970,635,920,174,984,349,499,042,263,624,434,049,851,274,065,422,294,918,
226,975,540,642,831,124,614,252,934,904,300,863,264,855,810,586,469,525,677,
342,876,515,755,244,707,335,932,253,028,442,251,061,351,726,514,261,507,331,
789,929,998,454,408,585,958,731,250,747,180,591,104,967,026,437,972,798,651,
054,892,593,905,200,048,063,185,087,521,952,131,157,693,527,551,450,207,451,
152,065,692,643,106,913,167,024,436,785,010,631,189,653,440,356,645,549,462,
556,418,666,675,629,250,860,006,566,376,836,260,015,212,999,988,705,792,591,
875,775,008,436,791,299,395,774,751,358,034,247,620,913,522,652,540,701,090,
402,708,090,163,930,699,089,999,131,966,276,512,532,661,988,063,343,656,215,
242,236,035,845,742,836,348,672,689,636,703,499,111,973,991,997,659,409,503,
800,056,352,022,007,364,761,773,069,979,153,850,364,542,808,334,622,978,061,
428,130,588,548,007,598,122,354,161,966,559,401,046,041,100,847,362,730,099,
603,331,661,296,137,537,483,296,604,991,819,039,878,385,495,771,195,736,446,
461,410,305,804,195,140,396,869,091,889,370,389,536,619,029,122,730,920,818,
965,535,004,908,499,391,272,877,234,718,314,807,973,921,788,389,764,090,852,
944,733,893,169,550,285,648,887,350,541,059,960,514,438,915,170,192,796,062,
718,850,913,704,602,436,328,000,135,229,641,204,313,549,777,667,246,484,570,
793,352,508,916,514,983,639,037,486,988,467,507,644,394,213,771,438,126,993,
573,525,052,695,101,223,818,785,461,571,209,594,880,988,375,343,151,174,841,
837,184,782,397,842,083,690,366,688,877,944,911,776,160,504,485,932,561,237,
452,792,674,647,661,310,014,341,705,800,562,818,798,887,358,859,540,365,396,
706,856,417,633,004,473,289,173,116,764,538,737,937,206,417,428,065,877,959,
922,994,022,968,961,801,368,024,368,572,641,379,436,897,950,653,942,693,879,
129,528,965,789,610,662,925,967,553,237,315,766,694,423,499,398,326,540,869,
982,865,287,817,398,215,914,295,141,686,313,632,291,316,539,767,875,215,799,
048,307,096,252,482,519,572,093,016,642,522,374,685,729,357,652,653,721,854,
862,494,991,702,382,882,241,178,117,561,690,815,711,808,608,742,430,515,304,
553,961,007,070,695,531,596,346,562,694,730,118,599,854,847,998,726,696,954,
451,384,949,183,448,866,459,150,464,666,980,486,993,493,994,978,702,672,171,
746,454,495,485,750,732,864,669,074,100,782,650,733,875,248,472,794,060,435,
083,572,411,887,584,590,031,921,550,109,326,894,276,349,800,079,751,127,813,
524,432,616,218,241,512,708,189,613,704,086,319,209,109,729,471,025,858,651,
707,023,738,581,292,134,940,298,549,687,021,811,810,834,647,072,708,939,541,
244,075,255,403,265,720,106,918,882,365,606,186,132,592,633,829,800,482,515,
893,775,120,026,973,416,311,370,357,738,947,369,924,234,977,752,049,855,052,
225,870,249,877,853,775,915,659,134,824,859,552,967,953,899,440,429,191,004,
113,318,697,970,843,810,105,575,821,162,538,858,801,289,072,419,882,063,311,
873,138,799,358,147,169,532,142,178,592,690,615,909,800,555,006,977,230,400,
945,495,858,168,831,987,101,348,393,977,231,322,309,235,164,245,412,174,807,
655,225,325,855,209,388,741,768,509,639,432,767,644,826,117,364,264,144,494,
816,321,413,422,947,050,147,960,573,975,637,213,226,433,198,559,769,685,503,
038,429,749,610,218,655,547,455,666,914,374,730,076,664,852,512,287,934,628,
914,073,762,996,328,726,412,211,490,225,165,210,303,836,216,656,532,691,181,
190,781,793,504,967,055,375,413,458,078,366,687,376,291,947,409,469,533,387,
177,283,138,382,552,175,390,310,973,131,938,816,117,076,639,969,585,894,578,
029,153,760,559,373,046,913,402,921,075,667,543,350,167,507,477,723,261,651,
410,137,564,431,415,567,843,751,765,033,720,097,129,028,288,870,286,782,942,
243,592,114,868,007,390,557,908,903,737,608,584,765,081,315,687,587,405,967,
451,590,342,034,805,013,999,108,023,630,328,159,877,966,830,229,358,804,853,
689,704,699,567,190,405,651,534,481,429,561,345,401,539,141,834,309,615,186,
584,519,395,296,068,138,540,567,271,838,552,393,901,784,880,041,284,312,757,
134,743,256,551,443,396,643,311,725,925,119,925,277,395,648,697,134,144,341,
453,657,368,245,330,535,295,597,212,614,736,100,301,610,208,902,122,546,922,
004,011,474,515,156,502,408,634,206,944,233,048,094,542,093,492,545,004,523,
562,732,577,772,226,632,050,836,953,860,894,768,673,868,752,445,316,626,864,
119,005,016,041,711,293,468,748,012,296,475,113,380,682,971,074,817,733,532,
865,752,643,949,968,322,960,139,246,852,143,013,388,075,672,214,568,549,504,
997,646,082,134,121,303,391,731,798,202,630,808,018,904,785,790,571,693,246,
744,775,827,161,880,978,873,111,744,617,647,293,161,133,146,570,920,789,943,
175,073,449,665,968,834,437,541,462,897,227,270,268,240,297,312,393,805,072,
480,529,675,644,399,373,559,485,452,049,887,426,101,389,994,950,664,870,176,
437,165,942,549,149,653,773,140,182,322,512,653,736,979,434,593,932,876,473,
396,219,850,711,647,243,042,907,903,294,490,351,744,785,639,905,343,023,593,
848,920,546,793,426,937,323,346,826,163,624,056,314,652,095,768,773,754,872,
452,838,218,796,718,281,534,300,344,459,153,256,500,558,544,461,948,487,162,
547,364,800,955,040,323,178,925,489,616,943,472,509,048,689,195,134,639,489,
554,062,178,929,989,264,563,650,933,365,272,860,983,341,214,799,319,349,384,
408,900,187,747,485,051,699,609,565,455,901,744,966,100,404,588,914,049,274,
107,551,989,472,140,884,666,078,548,882,162,204,057,344,873,563,907,161,287,
915,035,501,242,337,286,548,356,178,606,054,792,874,206,728,886,205,355,949,
861,787,787,806,732,517,917,470,634,459,898,710,067,469,420,875,296,505,532,
116,374,792,216,476,135,287,754,636,853,417,996,158,687,439,813,428,350,734,
033,901,393,303,234,455,341,065,149,804,098,187,894,406,309,420,630,606,182,
898,392,351,141,711,598,286,241,366,598,841,132,552,061,108,706,141,110,819,
081,948,063,564,870,727,177,645,589,186,770,642,975,227,143,390,821,452,547,
926,145,933,970,501,503,447,430,984,383,751,676,818,370,649,477,712,603,121,
715,369,240,730,815,736,965,718,817,452,440,607,738,643,870,400,934,323,300,
106,936,251,147,086,661,659,721,666,702,643,197,594,152,820,519,383,487,494,
986,919,759,638,545,345,725,960,678,354,942,640,415,772,640,187,230,726,661,
555,838,568,267,540,395,004,497,648,947,058,358,270,694,074,447,660,663,439,
903,348,714,501,429,720,906,656,880,600,104,375,618,875,043,048,872,217,903,
679,071,582,774,033,106,784,727,828,100,997,555,147,149,466,530,215,005,017,
214,446,348,332,689,994,029,789,668,283,138,595,426,491,462,194,431,339,004,
215,491,934,545,872,682,488,101,350,497,920,805,864,037,951,815,161,218,948,
670,403,240,586,779,382,985,839,810,115,683,450,574,835,401,475,014,324,895,
630,415,891,221,269,915,585,933,248,386,024,024,537,058,695,912,160,872,370,
458,250,859,348,570,663,294,010,195,816,437,754,630,558,227,236,681,628,213,
141,179,869,334,493,668,470,082,319,050,985,235,748,012,343,819,795,079,440,
445,812,326,506,747,358,331,952,718,901,276,962,659,153,272,350,173,383,940,
439,717,323,051,096,504,651,725,070,610,777,937,372,179,941,913,384,675,966,
879,469,291,341,556,444,045,307,930,377,943,402,721,475,115,731,648,502,118,
278,874,349,356,200,960,607,932,593,713,052,447,252,631,101,348,760,936,983,
399,432,463,780,176,278,261,478,414,263,497,030,328,576,021,328,705,346,979,
450,040,515,768,659,287,211,675,781,303,172,679,864,894,871,993,817,563,994,
235,692,294,767,641,952,878,077,473,701,985,105,726,057,332,456,859,878,463,
557,366,618,016,071,486,094,246,718,402,519,910,921,085,567,630,629,350,816,
259,277,112,169,848,818,168,047,506,661,823,884,131,754,662,827,643,223,116,
395,194,731,505,746,374,618,302,576,536,229,845,241,663,991,490,823,566,686,
935,498,444,547,338,526,327,273,568,388,442,242,285,750,992,685,205,538,145,
780,612,827,949,141,301,447,596,325,602,220,142,664,149,450,459,770,201,840,
331,829,450,873,788,093,288,590,789,385,738,410,603,281,281,436,595,951,259,
475,268,708,054,653,317,228,481,436,363,335,477,040,200,294,467,221,802,944,
955,163,100,348,455,921,712,653,310,482,168,010,144,159,027,336,800,316,572,
343,435,621,509,385,607,582,295,716,200,939,129,063,767,141,595,893,775,373,
446,377,434,910,569,821,148,691,940,261,643,128,640,442,924,388,223,748,711,
796,226,508,056,114,828,180,899,182,935,856,553,089,019,916,869,876,314,779,
652,360,632,975,745,108,940,636,937,490,407,881,035,304,535,359,276,485,669,
914,653,015,595,825,602,645,014,645,436,817,339,885,820,960,875,727,590,006,
971,378,344,789,649,151,368,489,795,082,363,916,254,106,400,238,644,328,496,
646,537,992,018,332,968,627,229,445,534,560,579,290,159,700,380,020,047,720,
073,360,471,327,759,278,847,303,138,567,326,966,197,507,489,208,327,454,789,
411,464,732,742,569,901,360,189,533,285,027,211,736,479,287,234,831,892,166,
622,320,278,361,815,062,735,635,666,756,708,196,826,189,545,099,824,044,269,
080,356,308,015,667,228,028,699,671,912,683,975,723,288,899,112,912,066,946,
523,313,842,712,567,807,832,723,793,492,137,424,878,143,913,085,323,318,021,
636,492,633,922,831,135,811,158,461,414,016,186,916,195,638,103,304,432,955,
385,010,607,037,430,230,549,518,316,322,502,980,304,020,626,066,130,138,915,
001,567,921,108,869,766,124,705,666,094,201,147,572,845,063,638,258,741,784,
685,657,960,969,680,096,179,188,302,400,050,475,029,606,815,337,381,465,291,
786,269,294,055,645,326,614,283,408,759,559,057,786,158,596,021,419,092,484,
282,344,357,574,781,639,870,878,108,212,342,180,800,901,461,897,427,576,286,
005,788,880,533,129,453,374,772,860,731,562,508,677,407,037,478,229,577,925,
794,825,500,116,258,500,042,353,784,849,291,677,606,933,751,713,826,240,512,
963,603,397,007,418,650,442,422,962,465,153,603,340,747,923,380,200,320,064,
953,972,934,708,396,481,561,886,245,585,215,654,171,606,547,259,625,020,530,
033,964,526,398,746,095,115,013,305,959,165,263,408,432,488,782,514,543,254,
921,264,491,122,817,793,696,848,117,938,496,166,830,109,981,042,570,092,707,
565,560,928,524,511,864,660,933,962,954,071,144,355,991,893,528,009,784,891,
990,019,751,975,536,425,340,300,879,549,774,487,005,094,483,495,943,701,978,
941,782,272,004,025,828,511,448,643,867,890,234,869,200,788,576,582,693,050,
617,370,477,139,994,125,814,637,546,831,637,254,788,653,914,836,995,826,288,
883,776,981,487,572,478,709,661,331,672,491,280,550,446,430,668,560,354,208,
909,457,465,697,813,907,932,330,163,157,486,862,964,359,690,034,226,172,257,
845,208,586,765,679,936,498,799,370,001,789,655,364,060,752,840,240,687,813,
731,359,689,796,562,363,583,653,366,070,702,006,318,948,657,847,725,428,566,
570,514,099,152,003,620,762,478,033,608,128,982,449,041,030,543,025,441,303,
830,072,890,074,658,749,695,734,517,609,463,345,388,957,203,295,372,725,808,
661,473,815,590,049,877,151,820,168,703,561,110,409,312,733,982,470,847,112,
660,727,674,226,791,593,061,540,129,148,784,288,475,989,039,767,818,225,262,
243,535,742,815,870,659,671,558,900,224,670,779,116,624,200,309,732,155,443,
661,698,953,650,064,787,719,660,557,547,206,493,637,281,339,534,099,722,564,
177,435,726,213,126,641,752,210,830,195,573,018,639,031,699,600,289,446,671,
079,793,888,235,796,433,824,750,231,574,118,240,572,659,185,092,489,125,914,
632,370,249,961,652,038,249,524,109,318,364,317,497,407,424,158,407,017,295,
997,461,667,167,443,008,206,774,865,184,574,900,651,593,930,993,361,657,829,
348,231,038,119,136,607,103,159,683,965,608,482,435,787,026,875,489,382,953,
229,635,064,377,993,434,510,487,970,276,680,511,347,309,579,312,072,417,880,
048,035,074,693,552,447,754,490,631,842,400,862,803,293,429,994,641,862,556,
030,247,297,025,422,305,543,281,077,838,819,455,328,960,821,060,052,106,491,
683,753,378,085,423,335,300,651,622,922,692,567,303,280,415,477,422,001,029,
359,196,658,084,901,701,915,134,190,410,780,194,472,678,693,612,659,992,436,
343,037,327,786,872,421,377,613,188,337,641,225,467,083,430,148,550,895,946,
283,537,413,118,154,973,375,516,882,232,199,659,702,373,048,864,397,476,624,
561,483,004,498,607,497,443,640,211,176,699,993,162,491,024,679,802,327,883,
039,221,526,553,822,552,685,544,969,752,154,777,170,803,587,942,236,232,215,
220,416,267,812,216,781,363,976,285,802,102,884,154,906,670,495,283,721,173,
027,352,205,556,477,555,779,652,380,295,898,608,661,201,836,418,829,232,116,
825,760,780,802,685,493,072,675,405,004,191,030,421,561,058,662,307,442,911,
428,761,854,636,574,039,124,878,632,341,126,826,514,381,566,516,256,141,879,
047,652,894,093,276,401,920,242,203,227,538,359,525,418,844,964,320,389,467,
520,705,039,503,135,616,156,239,185,288,000,160,663,314,053,656,262,396,857,
419,279,153,766,469,581,479,763,020,671,330,071,229,819,649,891,631,614,453,
143,436,493,659,640,537,070,326,737,197,022,389,231,389,982,504,509,725,777,
431,706,819,836,596,249,571,849,367,392,239,635,886,755,986,453,145,347,818,
642,876,387,079,159,975,274,213,518,860,794,969,245,433,811,142,594,175,332,
298,683,495,038,473,765,884,540,943,339,939,138,409,670,606,594,757,550,913,
110,938,517,722,983,726,823,227,869,561,699,884,950,971,456,236,685,048,036,
819,597,229,183,316,881,686,794,195,397,404,522,128,012,880,886,018,067,590,
629,345,831,525,048,830,750,066,964,381,308,062,530,400,611,893,597,596,461,
004,624,668,270,625,297,730,262,127,616,032,170,492,466,669,965,957,034,665,
707,936,314,350,868,504,948,677,181,279,484,352,046,887,541,015,695,551,367,
820,262,149,044,766,224,716,152,509,469,788,977,521,102,645,521,119,159,507,
506,146,026,306,691,465,177,511,887,877,748,952,827,879,328,125,442,016,206,
266,775,508,737,114,793,614,066,745,977,873,654,361,362,418,663,498,270,732,
095,795,799,404,529,824,358,226,512,712,515,303,985,980,433,357,281,048,578,
884,828,167,787,365,625,590,933,731,854,674,763,719,875,923,976,022,227,370,
312,906,028,394,327,546,681,754,328,142,927,607,980,175,417,903,439,770,168,
662,255,902,897,278,689,223,131,286,135,646,575,657,222,489,432,344,100,633,
138,888,727,518,271,899,658,159,436,085,233,325,752,345,442,840,476,304,560,
530,111,454,829,177,079,405,852,000,479,096,740,612,343,465,254,601,577,879,
941,979,418,516,605,350,135,812,866,722,062,455,849,007,851,143,407,054,866,
548,709,834,543,892,184,272,971,173,316,225,649,263,901,488,217,799,608,184,
279,554,288,858,259,433,682,166,233,058,043,252,672,050,961,088,687,479,581,
672,387,210,818,730,536,540,863,164,335,217,929,403,956,344,491,118,013,704,
702,147,551,938,456,773,423,085,430,607,544,448,615,476,416,102,069,879,149,
366,209,350,345,852,455,551,161,402,158,251,086,475,890,796,370,570,190,653,
618,501,322,034,150,138,137,836,553,446,352,313,800,848,962,290,496,150,387,
043,301,683,176,062,349,168,161,894,847,418,605,846,555,622,182,958,504,115,
580,892,586,880,140,738,001,176,215,262,478,685,262,022,421,830,130,501,964,
288,577,351,895,500,066,383,237,155,215,891,611,490,834,034,618,783,142,734,
656,270,465,151,443,916,457,069,079,745,450,517,233,890,686,745,564,906,390,
086,869,414,774,958,848,267,353,798,122,550,243,511,784,192,589,615,014,991,
571,784,957,350,808,196,733,281,552,583,912,579,671,126,166,007,568,616,297,
769,090,780,390,716,630,339,581,536,286,057,845,862,334,800,840,955,871,211,
517,673,513,729,593,280,876,994,917,933,131,271,706,597,148,331,949,877,952,
792,760,194,057,793,812,854,648,731,155,372,328,664,741,113,666,640,645,242,
563,030,634,025,290,634,132,334,530,429,238,215,593,019,210,320,707,239,769,
749,439,006,555,426,658,854,344,292,579,309,538,004,715,034,833,543,686,648,
989,784,631,328,155,945,272,025,094,541,266,405,609,356,262,657,321,342,545,
770,042,348,580,471,507,300,727,981,547,458,871,233,160,815,062,339,654,198,
439,315,773,983,066,450,101,088,848,981,998,040,126,599,361,573,567,043,509,
683,448,529,793,822,891,928,722,778,233,381,718,121,797,872,104,528,551,039,
767,725,672,616,692,970,519,195,899,162,587,076,829,000,757,581,914,414,717,
843,756,332,164,975,248,046,586,828,317,575,886,771,929,399,754,468,169,173,
391,554,610,006,827,113,405,861,276,568,949,412,949,406,736,430,330,793,829,
745,561,813,555,128,462,001,302,478,658,252,929,947,670,189,987,024,960,344,
329,854,938,653,312,793,066,608,557,121,684,846,533,667,072,647,462,006,355,
670,697,029,518,174,221,650,081,634,525,049,040,673,088,072,631,338,333,879,
364,614,049,501,012,015,413,166,590,668,687,645,345,257,695,613,607,897,512,
658,552,949,953,875,121,534,543,587,465,122,005,519,688,485,914,968,836,221,
994,410,158,245,436,047,525,296,929,781,974,561,260,200,895,978,019,858,659,
953,932,139,842,193,581,896,063,421,319,228,038,813,738,946,089,373,523,231,
274,445,781,483,568,941,843,163,266,733,692,523,356,067,991,152,447,482,191,
607,577,296,541,232,841,893,768,904,281,369,400,956,674,207,389,843,899,213,
830,991,863,343,944,852,634,990,129,512,979,480,307,912,684,984,049,087,202,
791,164,101,690,762,921,144,932,761,693,130,821,667,260,974,654,548,109,224,
594,563,642,946,694,176,571,602,837,293,829,286,192,342,073,332,829,043,665,
731,787,301,217,280,679,923,240,291,270,249,191,110,961,388,101,746,845,082,
282,887,143,864,769,304,635,496,976,833,047,380,884,065,699,937,041,636,684,
665,362,590,622,052,453,899,460,568,350,300,825,539,416,020,209,895,933,189,
714,785,811,055,915,885,959,830,141,677,056,202,881,448,213,509,814,019,026,
157,378,054,116,580,295,609,308,129,296,387,746,049,312,434,164,979,101,078,
397,105,469,600,450,030,678,068,224,567,509,436,646,880,558,616,926,900,162,
180,381,193,800,888,427,666,701,283,598,650,418,095,005,527,439,003,705,147,
354,629,678,460,600,559,833,315,001,538,861,619,897,729,122,028,007,096,242,
861,341,973,875,593,074,013,713,712,321,332,310,571,632,405,013,985,484,843,
733,385,716,672,048,197,702,831,524,135,787,279,715,817,925,730,239,764,223,
724,677,851,950,077,574,993,489,027,571,912,854,001,724,804,084,768,723,155,
696,182,252,562,692,468,666,487,110,687,444,248,361,082,216,971,526,233,871,
277,534,911,469,228,048,498,203,691,973,860,949,034,917,434,079,254,186,661,
641,155,297,545,509,990,729,294,889,082,122,047,265,987,652,918,063,584,685,
476,071,263,943,802,354,133,807,601,502,236,795,888,586,528,723,303,428,942,
960,002,161,762,897,699,927,396,955,463,433,171,246,053,863,004,306,749,409,
195,770,783,988,334,706,764,418,181,777,276,761,375,944,866,042,544,452,367,
519,980,334,841,593,937,468,366,805,207,781,254,771,422,863,809,633,805,624,
720,807,366,356,291,658,013,510,542,488,735,506,937,272,097,406,714,155,440,
923,202,435,158,579,923,099,041,475,322,669,252,351,841,754,182,384,285,388,
755,993,423,418,876,296,526,366,671,489,859,931,400,853,039,842,432,869,423,
057,032,928,931,052,684,158,484,050,030,880,679,840,475,121,470,744,461,810,
697,633,138,910,233,074,143,969,660,452,035,802,884,619,047,931,952,590,030,
004,442,999,803,152,936,721,924,405,619,983,350,742,248,149,999,702,382,834,
625,451,395,921,745,513,066,384,386,172,860,773,580,479,406,494,673,443,292,
684,944,740,917,735,323,891,057,838,720,860,612,443,665,431,888,681,153,160,
579,077,002,317,508,407,831,003,273,117,799,588,687,759,792,308,029,014,364,
880,994,311,130,154,094,035,816,352,827,102,193,212,316,503,633,288,950,055,
397,803,453,057,018,132,627,688,458,709,531,690,773,909,479,415,365,644,011,
164,353,215,123,871,528,862,720,346,390,547,176,905,463,390,992,911,547,013,
465,129,931,045,123,833,378,971,231,471,335,044,074,225,392,874,532,758,403,
710,739,981,321,062,836,524,983,643,251,242,116,172,212,135,834,285,793,971,
796,126,275,716,030,212,730,009,283,159,216,690,643,835,301,258,683,825,984,
925,753,550,746,930,998,217,809,651,165,145,555,588,038,796,212,015,256,665,
310,620,221,019,755,786,924,297,335,955,249,274,666,667,791,977,831,770,980,
286,813,413,628,807,620,164,432,088,740,521,284,844,982,888,216,579,703,257,
020,569,265,634,110,910,987,685,643,207,695,050,659,320,106,207,434,836,005,
249,324,755,007,743,706,189,837,708,906,160,898,137,890,413,417,358,240,404,
247,628,099,911,396,123,869,684,763,290,603,203,490,897,693,236,302,754,318,
794,965,121,424,238,490,641,689,196,344,114,805,281,595,685,491,792,994,449,
477,143,485,740,914,380,275,831,923,020,683,518,702,439,577,927,182,907,729,
656,477,716,589,130,594,639,407,165,812,793,154,642,148,891,256,416,601,195,
389,988,817,476,032,115,871,080,978,175,835,838,590,382,230,894,365,343,678,
338,892,544,381,291,104,960,686,510,191,987,915,425,977,515,794,773,857,918,
429,894,771,538,091,399,494,603,738,028,379,094,160,769,989,819,281,507,101,
988,333,111,601,850,837,591,778,307,419,643,499,415,783,362,973,604,577,817,
890,159,183,931,493,765,984,337,056,209,154,553,164,734,288,596,283,988,413,
122,051,369,635,822,866,014,871,125,239,651,500,156,027,052,306,378,472,376,
858,576,923,407,717,417,546,601,456,492,986,988,691,244,652,039,284,608,353,
092,775,548,254,916,931,926,833,476,225,437,391,285,492,869,121,067,703,155,
387,221,444,019,927,941,421,872,071,072,911,221,151,029,501,809,578,277,599,
358,036,834,571,459,873,361,294,530,147,367,929,764,835,343,039,970,871,275,
447,561,393,458,968,712,217,835,471,980,909,972,236,120,248,310,832,486,872,
014,059,185,603,229,545,793,218,894,367,678,130,342,461,671,220,692,689,939,
319,128,903,096,997,532,079,005,037,189,690,656,013,696,934,262,129,387,104,
697,795,509,349,686,155,911,580,629,837,695,067,087,542,496,080,516,643,157,
800,326,835,370,228,948,917,488,886,924,064,677,379,980,099,334,394,433,393,
676,086,049,244,738,637,692,188,357,852,478,978,842,633,193,822,903,210,176,
096,188,947,568,209,382,890,250,035,866,968,144,920,399,277,515,906,548,013,
383,102,790,394,394,943,474,668,031,677,611,409,544,131,637,696,025,666,281,
913,818,385,603,781,042,206,720,857,361,450,893,787,468,665,383,440,604,208,
568,693,509,995,279,235,469,187,079,768,103,266,347,172,518,702,635,824,864,
289,009,578,726,987,098,216,918,243,802,376,338,702,904,963,181,316,045,366,
768,065,983,211,109,269,351,059,208,442,488,983,262,809,326,620,838,539,833,
511,826,344,081,169,536,858,860,736,033,634,108,677,869,549,762,945,054,791,
979,006,814,031,365,401,371,014,374,393,901,046,698,020,905,293,973,610,060,
978,160,121,568,251,948,048,220,961,462,220,565,304,018,985,533,957,245,227,
792,323,731,175,970,643,632,653,807,955,359,276,409,479,058,395,076,830,088,
294,896,104,233,555,524,661,011,299,700,552,694,748,901,554,220,897,080,042,
398,560,695,374,049,030,139,903,496,892,423,401,917,510,805,266,859,492,616,
641,148,990,668,617,316,242,760,639,345,295,006,333,505,007,462,402,953,731,
736,867,416,834,696,957,565,467,050,579,417,458,007,939,355,441,271,985,104,
839,088,219,570,163,466,698,190,064,327,995,015,034,253,527,255,597,263,116,
736,025,166,007,108,628,039,093,153,275,423,994,429,202,021,200,655,873,362,
899,179,010,895,576,905,496,858,986,128,076,700,634,662,872,075,832,795,862,
861,085,669,529,778,143,057,056,246,228,418,048,805,367,329,511,150,643,231,
772,058,728,722,315,765,306,239,716,846,498,759,845,188,516,479,831,147,827,
834,327,236,905,937,142,016,904,671,113,341,622,111,019,010,347,774,143,910,
317,618,895,935,419,691,198,514,223,299,036,777,932,294,472,034,750,192,547,
794,591,538,116,313,001,765,406,712,784,951,432,106,622,000,981,577,812,434,
896,450,133,390,479,346,464,859,298,330,577,061,209,382,303,829,537,778,746,
547,903,071,092,379,088,763,108,392,018,395,402,913,824,275,652,728,601,097,
506,003,216,883,652,151,374,946,909,616,940,976,104,341,848,714,252,614,116,
408,336,881,298,319,646,986,128,021,790,364,125,447,777,231,087,117,043,292,
320,786,813,159,230,081,952,761,884,231,448,715,403,775,524,120,727,359,093,
242,517,582,965,738,835,922,989,634,953,935,591,622,141,324,817,603,425,355,
943,813,950,194,233,103,912,215,261,195,770,943,385,219,516,878,599,495,838,
118,134,449,838,026,269,716,888,958,961,506,420,262,287,606,540,427,493,969,
307,833,829,161,492,144,361,878,550,477,168,955,939,186,541,432,056,644,130,
799,580,774,108,666,205,715,637,441,843,978,702,161,696,308,575,208,652,393,
006,142,381,693,942,540,580,578,289,114,458,738,604,481,444,773,405,885,615,
701,291,981,009,589,997,878,386,282,419,349,859,690,048,012,017,363,740,947,
419,413,547,977,805,052,810,372,608,279,072,342,742,897,220,701,384,473,529,
662,505,504,709,588,857,940,417,041,468,853,266,038,407,231,095,486,974,417,
048,108,997,416,279,681,303,643,231,130,242,763,824,950,946,231,614,003,696,
901,505,342,610,400,220,647,911,429,726,160,886,946,836,264,595,454,908,580,
638,638,180,596,548,567,917,822,792,595,972,732,327,391,081,345,373,369,907,
390,055,718,538,066,376,154,655,810,007,007,803,917,468,989,216,256,398,716,
159,964,573,414,309,285,726,123,739,320,319,775,989,387,569,706,225,227,171,
718,802,347,247,086,133,668,861,530,538,878,229,258,868,302,377,996,027,977,
458,972,500,813,907,094,041,687,845,721,543,306,433,402,876,755,097,546,074,
711,696,011,052,109,340,033,757,432,714,998,956,139,052,445,590,045,921,895,
466,612,030,742,821,955,218,792,621,275,105,596,040,951,132,592,396,423,766,
342,176,463,484,247,876,466,763,958,057,752,440,014,172,454,002,303,246,789,
094,746,266,252,139,054,544,819,148,613,075,302,385,339,590,890,859,434,423,
685,541,637,276,560,412,316,508,816,022,049,412,507,938,761,883,941,725,521,
621,793,039,190,142,174,003,804,787,782,464,981,032,029,425,087,954,865,530,
252,704,065,712,948,052,577,451,728,859,381,177,675,021,423,797,049,437,295,
608,713,941,690,565,895,554,993,854,067,853,483,395,981,762,011,086,483,834,
057,126,180,368,577,301,115,563,065,975,990,836,685,256,916,859,140,695,822,
852,952,149,261,670,919,412,837,565,005,238,161,603,330,597,681,054,749,650,
590,343,514,418,411,452,207,043,840,523,567,084,399,454,564,875,532,208,010,
815,569,278,777,220,074,027,286,727,158,722,148,386,169,604,102,957,662,782,
895,144,940,282,468,916,191,438,323,163,183,284,302,538,391,629,356,754,364,
173,048,025,648,952,163,147,213,136,619,094,601,466,385,971,054,266,518,767,
324,690,220,501,916,343,155,756,291,916,461,822,339,385,323,612,609,765,056,
703,313,927,704,374,749,789,917,159,903,176,139,171,741,090,095,481,712,566,
891,682,281,070,406,275,655,779,771,922,801,654,347,385,828,319,365,328,224,
161,631,540,224,327,991,688,760,307,604,417,354,958,864,861,713,839,598,465,
212,986,095,725,307,093,816,671,662,038,755,192,148,516,686,438,634,156,511,
909,537,779,864,054,620,363,784,350,825,651,603,862,307,959,931,913,012,908,
191,978,029,046,065,073,304,853,377,743,372,391,677,197,466,745,636,325,881,
388,041,979,167,681,540,674,020,981,760,039,498,177,799,157,993,066,780,666,
735,143,144,823,206,769,113,902,233,378,610,916,151,236,945,219,880,765,709,
324,866,297,314,566,677,278,062,660,035,567,513,573,129,038,137,422,022,284,
073,886,743,494,571,351,881,157,448,548,604,519,266,688,618,258,008,118,131,
632,426,228,621,028,665,534,800,609,600,188,989,462,987,048,309,510,186,562,
222,154,105,955,566,508,090,458,214,019,124,781,651,224,580,165,390,025,021,
512,211,282,340,156,905,318,793,522,168,774,225,535,255,431,055,414,128,394,
505,926,489,452,202,985,552,615,985,234,179,645,972,988,840,989,488,660,253,
410,633,348,890,913,742,188,200,892,762,693,636,160,748,646,141,466,924,350,
795,961,208,440,425,900,324,418,902,620,172,314,977,511,366,868,788,973,084,
083,436,756,649,132,392,176,250,345,572,226,019,754,779,051,571,482,168,858,
123,418,475,387,533,195,468,353,375,774,449,659,440,536,072,142,724,351,955,
628,911,888,196,916,298,079,121,767,601,213,737,961,564,318,619,267,238,603,
731,426,187,590,675,495,802,313,088,235,245,560,843,276,924,748,486,846,084,
397,388,406,256,721,988,800,037,301,347,273,782,984,576,288,494,193,515,098,
538,432,731,304,540,484,111,827,181,223,416,028,725,086,828,813,463,787,841,
967,471,866,714,483,653,984,684,635,669,681,983,206,898,224,478,522,719,834,
200,621,565,348,228,541,264,144,946,222,337,485,557,081,503,597,322,163,299,
437,699,003,463,311,418,409,471,250,302,702,009,976,169,011,296,878,811,135,
875,464,907,724,770,155,367,188,614,611,421,534,369,527,374,086,865,757,917,
750,522,973,876,420,703,909,191,774,045,312,862,635,532,838,932,053,301,173,
426,537,135,554,487,253,423,875,520,170,269,980,833,511,028,543,915,026,395,
858,069,983,105,021,946,084,852,278,767,787,277,749,636,036,591,678,363,645,
969,172,588,336,493,677,388,522,303,950,846,254,875,517,301,246,128,544,627,
552,034,504,566,865,306,369,999,406,251,258,599,682,785,510,933,486,164,616,
227,785,497,551,025,235,319,074,972,470,183,299,231,758,615,793,464,940,079,
740,139,000,120,772,176,430,122,867,648,945,826,453,588,985,025,919,852,639,
193,398,827,070,948,080,465,941,755,191,200,670,417,070,996,040,282,586,845,
087,205,264,569,175,499,809,278,108,629,898,769,576,764,884,402,114,366,172,
503,513,135,495,112,030,146,918,144,550,094,753,909,072,423,918,406,608,396,
373,099,749,185,795,140,572,557,198,135,975,472,821,856,056,737,962,275,182,
024,053,204,033,735,313,166,154,959,309,765,777,307,148,159,200,366,006,020,
918,915,246,073,485,733,915,646,482,220,505,270,779,675,178,773,839,827,566,
556,097,951,294,483,107,877,316,175,385,237,657,343,435,708,381,133,160,900,
309,218,501,025,217,009,789,210,665,365,184,206,049,151,258,335,628,648,825,
429,215,121,174,482,506,198,023,055,747,894,742,936,477,107,024,348,214,913,
792,537,092,695,371,275,323,131,187,444,292,377,829,362,587,059,739,538,761,
478,938,862,346,723,343,216,228,646,303,197,736,658,997,132,419,212,239,216,
191,591,406,258,944,935,029,844,592,483,318,069,073,262,606,038,973,229,444,
201,174,284,848,908,258,047,939,694,905,019,146,896,908,756,027,499,292,450,
738,799,129,288,398,963,422,256,230,323,286,343,499,901,972,899,665,600,297,
097,748,515,175,297,013,825,626,368,681,696,982,183,148,483,092,573,011,796,
185,874,168,543,176,503,746,655,828,909,386,590,204,626,326,936,621,302,271,
891,135,847,496,545,504,948,099,499,731,351,977,549,745,315,834,470,875,870,
615,134,864,781,115,222,195,022,392,358,536,621,541,583,462,056,550,109,776,
769,224,370,111,086,639,079,134,982,558,858,606,510,463,281,243,631,866,664,
883,594,132,110,322,289,200,188,237,129,275,310,645,639,896,335,826,598,990,
906,747,479,222,155,303,114,590,914,707,778,090,209,310,898,013,581,481,396,
788,116,512,284,010,245,321,074,846,435,923,510,278,129,769,907,370,744,842,
928,814,541,833,317,395,770,167,609,459,970,667,566,023,444,704,889,135,769,
620,726,336,872,871,335,883,434,535,301,982,673,659,112,427,533,711,527,322,
847,622,945,870,109,595,740,266,625,300,609,597,598,992,649,188,919,807,594,
968,698,782,579,758,053,055,255,052,261,085,836,043,453,327,281,114,991,883,
843,580,512,235,810,858,667,133,738,079,697,493,273,331,619,738,350,036,080,
264,582,578,169,915,328,093,882,530,709,826,608,396,449,532,044,278,819,760,
746,111,991,457,986,203,800,092,253,455,041,862,108,509,723,908,623,272,249,
195,653,959,750,698,347,779,876,916,512,700,471,273,108,158,314,233,083,480,
469,557,310,362,783,281,746,911,970,246,732,739,328,125,638,408,644,647,216,
165,336,438,360,957,801,897,545,245,751,578,096,850,211,414,391,118,282,248,
968,024,934,175,509,842,668,375,797,926,313,178,641,959,780,970,660,339,248,
411,028,936,649,563,469,039,268,473,555,708,464,383,513,456,421,125,559,181,
141,354,173,380,193,295,611,831,915,578,799,498,526,276,037,793,320,468,883,
529,225,409,922,313,639,265,162,996,483,610,965,882,862,770,836,850,536,271,
318,258,392,161,826,806,669,602,692,004,190,426,671,914,723,928,018,318,801,
002,560,284,813,928,579,530,600,986,274,205,005,989,229,943,366,745,667,263,
534,097,091,645,981,778,004,939,388,024,260,735,512,430,227,631,255,442,905,
507,564,186,892,557,123,731,588,659,803,841,442,447,987,102,012,954,940,819,
893,911,611,093,849,264,074,423,791,902,037,281,573,676,647,015,233,859,395,
839,680,483,775,071,664,293,328,967,333,794,321,673,048,744,487,956,727,307,
364,432,756,804,373,357,348,458,511,395,300,918,589,774,793,620,845,382,629,
526,476,675,949,288,238,361,327,113,176,295,033,949,420,606,251,971,253,374,
168,931,887,863,892,922,205,640,432,813,173,034,121,825,245,772,923,919,485,
807,537,452,222,612,905,233,999,839,715,008,473,887,057,790,544,334,442,342,
677,659,134,710,203,241,376,926,788,013,261,652,271,496,688,901,214,439,551,
566,828,260,657,607,692,464,948,807,684,412,858,343,505,399,301,887,685,636,
966,288,706,322,848,868,334,760,614,938,257,317,957,834,865,112,416,422,621,
431,387,175,968,278,837,193,602,149,407,607,357,390,365,401,035,640,251,007,
432,994,403,872,513,563,911,168,197,341,315,462,731,006,790,986,832,995,826,
844,538,722,360,400,010,630,910,401,351,903,553,485,889,155,558,662,106,021,
615,070,328,926,793,255,924,285,086,008,828,681,728,896,096,182,169,049,956,
339,632,111,539,225,257,106,304,685,481,124,564,133,749,730,839,772,557,833,
810,496,677,713,300,730,051,235,326,111,974,378,688,924,805,660,823,280,177,
244,712,432,419,349,323,621,044,610,966,256,174,096,460,302,059,592,533,131,
934,632,761,381,108,017,312,387,281,163,215,984,390,301,605,866,084,169,973,
073,740,663,798,319,622,463,720,600,859,209,627,043,564,037,796,474,921,541,
529,208,122,546,204,073,836,221,317,220,042,973,314,845,010,706,147,267,577,
560,095,324,798,385,388,839,085,179,141,443,033,641,117,119,086,778,280,486,
252,039,497,435,029,050,455,507,992,093,907,946,895,822,494,067,430,993,895,
563,086,389,684,206,451,899,736,461,113,071,918,315,911,836,030,278,684,916,
612,148,813,969,962,144,213,739,711,527,140,950,922,696,608,360,963,791,157,
850,082,913,005,947,126,513,916,680,930,208,758,238,652,310,174,931,959,270,
296,306,796,071,561,835,412,328,338,624,207,857,111,211,741,818,167,732,758,
277,806,604,948,589,941,965,976,326,260,090,124,853,698,585,691,937,187,540,
848,185,393,904,029,575,419,961,816,168,157,824,614,102,817,075,148,367,354,
518,325,797,369,498,409,475,754,958,626,652,582,919,673,946,720,895,127,952,
546,658,262,039,933,878,170,948,049,455,413,134,585,564,929,429,294,233,524,
732,051,570,725,976,291,249,027,596,403,594,755,721,183,456,371,749,196,979,
080,329,062,454,121,968,617,385,016,012,411,256,521,515,007,480,543,973,865,
291,853,749,944,491,694,632,902,290,457,031,743,072,340,319,698,952,850,576,
504,190,132,131,808,482,901,435,598,041,112,462,581,577,172,211,459,387,037,
128,874,023,857,601,722,701,752,544,537,665,271,494,481,662,634,861,600,782,
320,615,892,572,114,098,442,795,797,788,832,355,325,523,155,740,501,543,930,
989,535,568,525,516,824,331,218,469,220,962,567,467,028,582,437,610,959,170,
129,675,911,136,103,403,530,134,339,023,531,767,983,597,561,641,596,553,383,
185,425,589,496,780,182,298,510,419,321,218,499,229,496,512,115,160,936,547,
473,450,997,916,083,629,415,939,539,335,996,197,992,962,788,167,673,797,461,
804,626,819,311,694,557,691,190,097,698,899,561,229,263,074,759,610,986,650,
412,544,932,503,058,840,443,535,147,511,164,604,883,336,459,257,673,220,429,
488,831,015,354,141,845,531,501,496,142,224,445,999,571,973,062,262,815,785,
284,762,193,342,891,646,531,186,806,358,684,512,595,884,927,440,115,823,364,
886,142,145,380,415,653,120,120,696,152,261,373,745,078,194,040,551,515,762,
516,488,974,672,091,209,486,057,338,593,525,993,666,428,581,161,433,157,427,
127,975,974,471,736,125,148,490,674,992,124,139,777,584,535,278,813,248,557,
580,647,571,269,458,546,516,944,046,789,322,865,701,570,229,607,838,982,022,
114,952,363,543,742,102,296,686,896,954,299,461,858,063,292,278,695,818,206,
041,227,875,007,453,876,856,064,633,173,308,129,559,520,018,778,599,676,564,
842,770,302,112,232,480,288,915,120,424,683,820,985,532,647,202,557,651,252,
317,763,232,999,344,026,374,416,690,565,687,268,684,320,956,744,536,739,630,
118,659,283,814,915,532,982,358,065,672,026,925,414,084,710,809,809,411,973,
950,775,599,574,263,748,132,719,270,413,297,254,455,260,674,842,831,631,193,
341,796,102,404,817,962,972,279,025,901,847,136,361,827,948,110,002,980,375,
630,607,968,448,508,652,417,052,074,029,669,167,302,917,472,678,376,430,183,
489,471,984,997,371,155,503,873,430,153,434,896,323,930,875,986,427,848,937,
272,451,009,973,895,135,072,516,007,951,890,804,278,147,459,569,801,857,123,
780,574,982,730,971,280,922,101,829,416,592,861,627,702,773,360,678,691,203,
079,020,208,418,710,056,440,727,205,820,349,398,949,929,214,314,626,607,676,
436,133,555,221,092,623,677,598,495,897,434,413,154,876,295,163,532,663,330,
126,823,817,159,701,210,126,869,000,011,373,768,503,280,859,766,923,453,375,
410,956,280,356,775,111,563,225,412,930,025,750,089,891,940,939,832,451,981,
763,440,100,744,623,212,810,341,654,717,932,793,783,482,888,794,069,930,375,
992,106,226,089,227,657,188,228,851,093,098,043,716,260,325,627,295,947,324,
467,729,258,361,292,070,698,974,011,420,811,373,381,133,234,385,232,566,559,
858,903,099,977,940,427,527,504,048,453,953,032,039,631,607,995,823,766,956,
637,112,499,973,726,982,564,444,093,673,657,287,737,441,663,133,423,938,296,
710,544,387,297,412,526,872,612,174,441,877,825,709,779,068,824,023,097,156,
896,808,665,874,406,423,622,804,899,989,288,586,908,158,627,341,446,300,462,
308,102,879,361,576,589,894,971,079,276,574,488,266,695,635,089,491,700,238,
765,476,992,052,616,060,848,689,704,797,049,264,354,115,140,981,568,263,266,
703,011,916,112,396,769,516,655,073,321,587,848,690,412,198,367,640,302,884,
479,474,690,572,370,475,797,774,017,754,156,472,184,607,429,853,539,475,651,
241,918,929,089,035,428,703,043,883,432,863,935,224,760,195,139,396,076,412,
030,487,014,220,796,835,598,465,291,210,669,247,732,501,052,592,150,676,018,
636,903,215,617,884,258,066,142,853,194,440,465,383,198,341,315,427,896,184,
460,993,421,965,193,654,625,617,945,779,035,517,668,476,594,723,087,210,976,
660,229,635,778,954,006,652,030,308,826,684,135,760,100,317,828,451,806,802,
894,470,690,682,072,733,006,444,022,475,053,995,341,553,955,780,849,802,818,
432,191,113,200,836,978,535,990,438,128,311,522,662,859,720,880,980,263,001,
518,445,627,874,040,340,406,873,119,325,661,026,442,212,111,260,562,709,159,
592,601,727,564,133,815,948,689,535,797,768,142,436,544,162,733,318,404,870,
744,547,337,594,897,540,305,730,359,244,000,926,517,721,081,471,209,921,729,
098,173,485,480,255,081,394,751,154,552,004,344,615,563,738,154,599,896,337,
261,147,936,250,238,971,745,492,674,872,360,137,348,713,288,604,392,514,477,
173,780,672,156,850,271,139,023,095,360,969,312,108,792,896,750,615,762,959,
887,141,910,551,206,530,246,879,736,778,967,457,520,935,268,449,012,917,884,
316,595,414,997,701,435,197,923,178,204,306,255,384,492,635,529,640,463,482,
157,481,433,465,014,844,926,327,785,502,033,628,293,164,100,009,651,015,703,
511,397,812,727,661,073,306,454,401,488,980,159,070,599,511,298,679,712,309,
118,276,125,824,656,118,087,319,684,681,489,357,211,148,897,926,570,995,292,
055,695,786,746,617,765,472,463,966,950,241,736,305,015,224,090,197,017,141,
225,207,774,544,436,589,355,964,496,292,806,750,425,595,914,234,017,985,792,
762,550,987,614,356,074,937,069,911,270,689,545,382,584,579,440,193,691,775,
090,541,353,701,911,349,352,934,912,167,038,427,025,991,991,682,438,408,957,
846,847,728,330,029,734,623,612,884,750,533,872,357,265,651,085,507,095,408,
198,091,773,259,424,795,990,142,857,452,364,696,517,522,945,695,026,322,536,
891,071,613,159,740,973,570,027,917,400,224,082,713,338,675,110,205,462,483,
412,237,231,506,037,576,077,638,076,744,564,356,786,599,025,968,421,218,292,
217,164,918,620,849,373,748,414,905,046,854,040,003,240,947,149,513,867,938,
098,225,844,439,015,781,007,178,890,112,242,859,880,911,382,676,367,013,760,
773,653,321,935,745,191,323,242,438,117,568,474,602,198,624,106,170,283,441,
632,898,810,188,381,827,423,360,399,360,003,868,198,438,056,520,708,141,904,
330,520,936,409,705,913,388,044,992,046,385,074,695,953,369,847,184,827,454,
489,378,563,764,913,269,102,360,428,519,692,825,742,236,857,570,433,680,947,
141,390,224,563,939,005,188,130,085,408,839,300,551,810,958,242,387,703,018,
758,306,318,793,353,376,918,727,784,097,315,415,103,236,570,690,014,276,266,
599,790,671,213,270,267,675,962,221,474,371,908,343,274,296,925,344,117,672,
110,932,204,464,537,269,777,781,188,639,579,355,926,491,706,479,333,531,960,
192,185,023,088,911,276,499,204,740,867,345,239,694,786,342,762,137,813,557,
035,814,331,050,484,851,676,946,621,581,121,628,693,076,542,128,558,665,130,
716,512,769,541,813,644,051,119,084,612,050,895,743,907,033,140,839,409,770,
422,409,673,306,573,717,534,526,349,935,586,959,770,972,773,544,178,371,397,
770,503,551,528,501,455,225,870,068,586,672,696,415,101,192,647,381,933,897,
102,040,877,227,512,090,327,853,758,714,350,669,863,948,648,355,260,873,505,
018,759,602,701,119,607,026,350,400,695,529,287,323,903,082,648,547,207,218,
314,983,796,608,520,130,155,331,786,376,534,222,988,863,084,284,478,038,915,
632,495,224,601,494,218,679,875,503,204,611,467,181,224,395,709,565,257,534,
135,361,210,793,277,925,374,086,909,170,623,979,180,391,972,376,852,507,035,
963,886,187,613,189,146,552,646,231,282,069,853,981,256,754,533,276,487,339,
027,403,119,908,435,596,007,853,868,211,315,815,490,721,744,872,152,566,937,
013,087,104,731,136,347,717,537,819,615,148,787,480,573,312,295,734,132,183,
054,886,935,321,981,605,816,695,644,957,303,885,940,386,447,901,640,114,101,
997,702,073,309,235,868,833,624,687,336,488,695,308,625,133,941,831,688,317,
713,638,207,610,765,607,041,566,754,053,138,183,678,636,810,430,495,422,468,
438,421,601,771,702,162,411,337,917,154,829,810,543,785,424,804,312,123,088,
377,561,322,917,696,190,012,407,648,952,511,600,295,650,130,945,119,918,830,
531,688,215,309,493,684,835,133,769,648,253,943,699,320,227,670,012,975,967,
809,895,832,999,241,046,822,228,795,661,545,061,739,055,162,563,075,285,381,
661,829,840,151,772,172,542,538,494,686,442,017,260,843,967,166,728,703,731,
498,943,964,170,563,991,905,936,815,304,662,860,216,637,304,327,661,888,465,
977,577,048,521,076,973,551,909,554,657,549,000,846,695,534,906,341,853,329,
094,664,856,809,953,826,932,218,948,348,468,635,849,128,676,626,040,676,236,
186,940,504,854,082,770,001,993,212,470,154,716,447,633,187,906,034,394,073,
050,202,085,122,487,454,622,599,803,064,940,673,274,863,396,760,320,777,644,
452,390,291,989,440,004,873,856,108,203,851,139,435,123,429,969,678,093,938,
014,147,461,416,187,252,433,688,328,059,866,797,396,764,153,087,531,045,998,
103,931,912,305,810,105,782,507,818,472,662,084,428,504,200,994,847,926,691,
675,677,415,713,557,261,851,772,991,704,192,741,912,944,149,042,012,815,272,
115,011,240,007,590,076,190,944,820,292,087,989,053,111,008,170,765,819,719,
116,114,410,782,406,850,689,018,394,156,877,617,425,077,787,692,216,437,016,
472,796,298,486,222,814,321,194,279,377,452,968,197,866,270,051,265,223,659,
497,344,526,858,380,736,759,016,591,873,137,122,829,196,653,008,146,624,902,
357,685,836,290,493,967,511,233,143,862,794,832,072,329,122,670,485,147,147,
693,700,886,623,564,497,421,977,810,973,264,238,162,914,807,768,672,529,712,
978,242,345,141,554,192,985,029,722,441,657,093,387,290,596,943,990,637,483,
909,878,986,776,359,676,480,529,221,788,385,574,790,568,840,546,800,469,935,
985,838,368,946,749,203,540,223,413,529,681,973,735,431,932,344,070,459,777,
824,032,956,748,333,362,937,555,365,999,137,537,719,941,860,650,342,303,590,
258,973,606,196,987,948,248,630,283,591,347,675,704,404,985,584,865,249,539,
984,491,268,169,982,549,008,822,750,377,888,814,511,890,966,278,753,680,364,
536,037,277,622,545,629,909,846,159,777,761,992,246,035,636,698,608,837,470,
612,457,230,217,068,300,468,507,682,963,105,332,145,088,249,183,120,492,432,
329,498,333,480,025,293,822,224,273,412,309,432,517,900,614,177,649,763,974,
315,661,380,031,821,765,432,004,517,454,345,497,221,703,344,078,576,187,629,
309,037,991,756,516,794,899,912,198,546,286,685,125,946,857,842,477,638,455,
150,676,564,535,513,899,529,555,932,371,690,990,126,953,229,026,823,703,036,
555,359,709,925,497,651,953,914,484,309,435,663,852,713,641,433,013,101,004,
942,581,100,017,710,768,521,889,712,061,942,322,910,253,966,548,329,237,917,
860,514,251,268,388,479,306,302,501,951,688,899,076,930,402,576,517,535,204,
443,570,999,751,679,874,114,925,667,562,240,798,799,096,755,565,287,360,277,
091,561,209,310,703,808,542,941,558,904,919,269,143,068,321,284,227,133,265,
063,455,173,861,360,516,320,286,809,282,906,362,990,116,728,229,928,012,891,
883,381,165,596,460,890,527,803,482,023,478,889,620,312,002,604,169,216,895,
108,595,226,906,780,176,060,981,819,052,025,452,601,231,776,288,476,018,404,
328,401,147,573,393,855,487,524,961,853,375,101,291,000,346,834,423,643,173,
913,845,643,039,103,608,299,637,298,540,900,665,195,448,531,843,862,399,612,
873,716,424,547,400,117,929,546,345,345,623,249,856,803,711,109,191,153,504,
771,056,390,152,168,719,611,755,653,522,285,359,569,601,144,691,719,631,786,
602,800,188,604,630,558,458,903,645,538,683,633,753,621,405,515,157,053,531,
358,168,248,163,673,422,932,044,363,271,060,840,645,267,383,000,270,719,889,
633,464,537,471,371,450,693,380,163,463,680,263,377,787,664,984,965,842,291,
505,844,319,642,989,849,418,238,347,619,998,638,962,827,210,352,294,496,712,
040,282,133,551,859,846,646,088,851,348,966,154,432,845,506,576,989,207,621,
871,657,365,607,388,907,431,927,729,638,627,681,277,919,402,155,799,854,920,
181,400,159,469,721,029,681,661,647,283,261,922,908,853,259,289,728,460,754,
020,624,143,522,040,895,822,392,462,877,137,838,828,907,340,394,259,295,778,
815,347,954,419,685,907,190,725,720,710,166,893,534,507,614,019,066,387,321,
721,441,335,184,959,237,088,093,481,228,650,313,466,201,614,074,527,923,041,
616,889,351,850,917,714,740,014,011,940,464,902,759,026,259,900,265,335,757,
920,385,251,627,806,395,919,284,158,920,505,142,250,038,102,622,609,671,481,
455,160,134,751,399,566,777,660,302,439,151,283,464,012,628,404,649,735,130,
485,948,547,183,125,146,128,430,756,238,289,321,327,131,719,138,942,772,661,
115,547,144,074,367,134,678,735,222,259,733,360,546,214,207,344,266,612,046,
186,738,902,226,574,479,491,971,232,071,144,272,379,056,226,883,301,565,025,
799,455,236,450,271,971,712,199,023,246,020,467,958,936,071,489,210,789,512,
357,573,648,079,162,501,296,902,246,080,586,830,632,842,500,719,295,696,892,
141,928,730,161,450,166,570,569,670,893,572,629,765,830,118,600,021,110,303,
420,440,840,479,062,941,581,087,713,470,512,277,294,960,074,140,955,306,667,
392,981,032,632,427,316,205,512,751,541,230,489,619,460,078,842,388,222,079,
793,996,197,839,009,433,032,073,693,152,954,282,451,834,620,069,162,277,585,
948,155,661,302,893,512,980,996,342,329,390,352,847,356,625,713,482,828,241,
221,202,735,707,822,125,066,459,323,489,423,636,295,460,933,745,458,982,583,
703,225,859,997,653,028,447,710,423,139,391,799,090,910,363,654,301,085,974,
026,190,527,179,231,773,151,461,155,296,597,420,873,880,407,544,745,817,422,
602,672,305,784,755,585,958,405,479,110,187,307,764,863,941,013,867,941,025,
836,246,529,189,275,101,269,954,288,435,071,547,044,125,909,163,555,187,295,
831,772,984,431,293,060,357,526,327,998,253,903,898,710,860,740,944,713,377,
707,098,197,360,166,636,436,459,837,448,917,843,029,022,290,352,305,222,165,
356,895,061,015,740,819,980,729,187,123,223,312,636,089,059,215,415,048,423,
846,963,493,882,488,521,947,588,435,546,273,565,460,623,843,695,794,959,322,
272,854,124,967,363,785,695,785,428,724,103,244,351,341,838,894,345,752,167,
859,580,106,265,919,921,640,431,585,257,445,085,172,187,604,073,971,873,271,
791,005,473,874,554,739,182,347,873,164,173,718,565,640,427,227,135,134,325,
319,293,678,853,386,500,255,722,786,876,466,474,581,011,749,121,726,655,407,
894,086,211,007,262,404,352,911,708,972,911,536,334,470,460,054,396,181,900,
407,078,181,933,048,857,374,670,903,218,541,694,708,939,980,429,736,215,671,
641,950,492,269,804,592,615,262,647,499,905,524,059,548,542,288,265,919,276,
491,475,411,290,616,498,231,511,336,358,699,289,842,767,296,117,633,837,954,
283,539,265,834,687,345,546,880,334,705,954,704,753,933,651,090,918,451,476,
177,009,275,363,464,677,261,562,767,702,261,020,573,697,810,300,538,818,586,
408,835,926,880,303,041,907,712,143,740,943,736,014,173,808,765,305,833,394,
882,628,558,704,226,024,643,615,507,666,340,491,353,991,163,958,441,626,918,
747,104,028,534,356,465,737,957,145,406,938,944,299,130,221,499,681,815,720,
538,879,177,902,474,372,848,347,067,998,373,565,486,183,866,597,667,160,115,
083,042,197,433,477,545,972,363,285,299,153,116,540,557,348,888,138,813,998,
775,837,102,400,638,585,826,708,650,612,124,336,314,269,250,203,664,690,642,
552,465,680,866,220,149,650,412,031,826,886,709,453,435,187,228,114,980,833,
335,066,177,256,300,104,813,220,082,678,222,296,898,643,187,367,529,929,226,
693,777,449,671,012,944,836,019,963,142,541,801,463,474,549,387,616,156,477,
540,573,826,683,731,065,551,044,533,787,939,310,042,589,052,389,737,230,297,
777,199,595,444,654,325,332,193,813,278,769,208,991,668,225,512,826,730,183,
075,313,082,371,547,542,302,451,308,054,611,344,553,300,775,723,587,369,575,
218,759,907,886,917,789,966,573,679,227,624,492,065,951,329,402,455,705,159,
557,265,224,730,453,806,297,349,562,963,660,202,017,773,062,178,976,079,194,
512,139,752,439,188,256,923,820,633,534,569,628,343,356,620,291,146,615,065,
914,175,088,029,908,487,079,485,810,087,401,815,927,440,531,339,471,399,594,
319,520,619,218,982,301,880,913,210,934,340,210,177,132,809,321,420,410,849,
683,361,494,479,157,670,223,410,406,157,475,613,785,691,127,511,958,325,644,
135,528,043,757,860,936,264,899,646,482,386,214,521,512,583,059,511,519,212,
990,632,218,783,233,588,817,809,105,962,283,429,930,195,593,367,831,834,812,
072,463,299,878,441,189,241,731,508,097,773,859,173,426,759,222,308,744,942,
001,539,555,322,123,112,353,542,227,203,916,730,443,787,682,152,625,504,956,
118,102,388,171,891,176,240,469,140,951,954,028,833,377,218,019,689,652,749,
647,809,368,130,834,466,575,459,710,374,485,193,593,590,143,658,600,047,580,
619,815,295,052,574,794,622,734,009,568,121,478,232,647,977,353,266,114,150,
005,395,145,614,464,216,641,301,893,108,476,114,150,140,459,526,146,846,324,
009,104,232,192,620,973,555,161,033,429,737,342,177,157,549,699,434,415,757,
945,318,770,551,435,223,899,986,453,435,874,337,654,306,476,307,847,470,725,
576,132,154,953,587,639,487,057,228,371,942,181,058,124,980,852,963,769,964,
240,147,756,896,295,256,849,639,686,758,058,834,802,303,718,974,593,397,711,
553,670,315,803,421,047,417,627,243,590,359,078,316,214,265,789,380,461,031,
250,356,231,723,331,862,406,336,983,177,550,017,323,007,211,435,120,143,001,
386,746,592,617,855,484,023,069,375,607,406,441,205,893,379,461,128,109,829,
609,075,317,302,343,385,180,602,012,665,270,209,215,916,935,690,050,221,155,
838,475,007,253,792,799,273,067,356,780,261,024,260,846,215,896,975,302,419,
752,470,882,322,505,222,112,533,737,147,196,813,700,624,747,989,073,025,240,
132,181,569,803,215,690,036,893,710,597,058,541,908,161,383,239,174,384,838,
043,883,989,771,079,873,649,639,486,789,492,781,184,123,727,375,943,243,880,
960,149,403,484,955,949,475,360,572,005,354,459,839,858,737,801,084,446,626,
606,368,972,950,778,630,963,691,966,496,817,303,626,024,023,343,250,229,658,
166,380,378,828,243,806,779,844,604,781,147,705,801,598,280,352,810,084,007,
724,168,757,146,112,403,579,770,927,377,632,503,195,704,497,395,127,361,509,
078,976,967,447,269,562,710,132,105,471,922,562,120,520,919,990,309,280,276,
360,842,692,776,890,223,996,978,653,654,343,696,432,266,941,894,359,479,344,
723,370,077,527,125,332,174,860,816,767,508,810,797,235,433,323,207,796,253,
588,753,025,553,292,684,866,774,520,388,083,621,782,511,392,007,061,496,804,
002,733,641,242,946,047,653,490,434,197,729,568,707,177,722,030,805,938,976,
996,293,304,707,143,422,922,126,156,334,214,051,921,631,520,532,797,900,049,
226,088,868,939,815,241,897,862,414,992,413,719,842,454,726,370,534,692,832,
749,398,036,985,253,246,725,491,831,950,027,562,055,449,585,051,115,552,938,
217,773,941,226,100,027,607,141,035,313,969,002,267,324,946,995,584,991,773,
024,542,172,330,962,218,105,331,494,399,059,630,211,595,255,556,974,700,668,
367,140,704,113,414,738,085,306,366,532,805,468,751,972,805,328,107,164,268,
616,235,106,733,419,800,193,425,133,086,649,974,214,096,232,816,897,222,954,
909,159,031,226,538,926,702,130,466,758,754,164,764,611,317,281,560,353,054,
998,852,970,988,864,805,524,755,780,670,562,996,560,990,303,030,305,660,826,
819,791,775,372,983,410,450,211,322,521,526,887,154,769,623,494,073,196,278,
894,853,121,995,729,118,444,323,923,836,022,147,037,237,516,371,375,255,253,
230,223,779,233,677,974,279,128,175,822,378,195,116,611,560,883,533,111,826,
728,979,409,423,982,897,089,650,843,517,042,807,926,338,076,037,087,508,708,
358,530,787,831,184,160,772,429,145,128,899,693,430,873,278,023,305,352,266,
045,720,691,696,323,081,340,564,996,224,328,654,245,018,391,324,103,800,308,
936,881,774,845,805,469,559,465,219,743,274,668,637,697,448,363,212,653,260,
483,367,370,918,187,494,402,007,979,837,791,006,809,841,330,662,151,407,406,
085,514,692,564,923,974,095,112,663,666,956,704,873,952,006,272,259,762,054,
725,898,696,814,321,366,956,298,098,559,875,528,086,947,394,875,169,721,825,
203,230,971,849,873,916,552,680,822,630,256,378,899,344,644,071,891,177,342,
504,377,752,394,778,941,017,261,141,316,639,597,816,609,016,427,258,538,451,
025,396,425,149,660,706,688,655,207,538,980,042,230,427,946,602,864,619,129,
783,129,389,478,915,782,150,683,483,783,548,625,091,521,275,571,280,391,510,
813,666,605,018,069,554,825,366,472,461,980,757,875,169,231,032,244,157,252,
570,372,287,059,623,378,444,949,972,050,218,538,197,769,334,206,698,331,609,
309,368,592,439,706,284,063,207,035,901,207,108,747,766,279,220,527,892,078,
572,886,293,566,402,999,346,071,811,058,762,978,976,054,221,070,022,327,363,
870,441,940,305,461,266,917,779,575,813,664,185,007,271,398,811,608,457,444,
267,887,319,271,394,910,011,196,017,042,453,063,293,214,526,090,525,556,384,
182,926,759,073,156,135,681,080,647,449,504,445,751,761,357,324,057,984,533,
148,198,975,598,159,083,889,001,859,576,679,003,930,301,062,960,125,351,675,
555,399,511,494,059,518,224,013,764,343,123,023,581,191,042,934,239,094,375,
357,897,879,887,658,719,057,476,400,232,718,631,801,764,321,539,267,848,477,
530,889,068,197,358,533,050,504,180,739,361,907,623,989,654,723,666,603,105,
399,282,269,340,654,593,587,218,869,166,907,758,879,567,951,624,348,483,732,
980,136,642,765,092,408,353,491,097,684,932,098,016,752,946,120,718,346,014,
661,919,653,934,057,913,649,096,370,951,814,420,741,283,589,617,115,964,948,
062,407,384,811,633,934,249,131,432,731,313,458,096,112,749,431,369,772,986,
604,857,647,644,792,025,092,365,351,910,008,626,815,837,714,893,622,048,304,
858,443,781,178,433,198,480,155,532,821,053,956,387,718,125,987,043,593,943,
413,265,566,611,670,951,511,568,774,330,445,675,470,936,892,883,701,961,853,
275,333,956,165,203,507,903,725,676,104,807,564,097,795,393,460,720,609,934,
894,221,481,237,596,100,435,883,304,484,970,203,222,253,978,615,908,126,042,
197,888,153,921,533,189,155,946,533,961,524,797,207,352,883,579,895,204,030,
884,936,245,590,767,030,319,722,852,510,992,763,339,257,563,596,341,054,978,
631,950,287,179,519,564,264,156,398,974,650,349,050,735,227,558,228,785,815,
545,299,529,147,845,869,323,847,031,368,644,001,503,321,640,917,117,681,366,
986,773,799,589,333,449,073,712,862,544,512,414,905,554,164,669,423,900,401,
990,765,877,348,607,102,599,971,254,547,486,659,531,245,736,825,928,282,170,
200,570,855,958,710,716,524,643,963,917,178,326,996,524,387,545,072,591,288,
871,160,503,605,045,323,882,123,997,592,967,884,053,108,933,613,585,291,574,
525,862,879,598,262,111,210,117,396,920,419,800,287,196,381,410,206,671,866,
199,616,344,156,013,420,923,772,692,210,302,158,563,563,137,825,678,534,034,
999,694,320,493,780,350,956,954,496,369,748,099,773,390,574,248,023,844,033,
445,735,038,255,795,825,001,515,457,740,736,746,337,485,365,253,204,707,916,
451,035,669,786,514,694,503,700,261,394,001,749,690,595,335,317,632,836,460,
234,700,949,374,153,606,176,433,562,014,852,465,649,467,705,221,841,916,616,
371,467,442,056,850,512,423,537,078,031,055,295,800,233,852,093,986,771,161,
051,232,528,222,290,639,002,157,359,040,307,406,998,191,552,867,216,701,841,
948,379,582,349,507,759,622,844,287,004,311,133,845,403,651,460,263,370,167,
458,102,515,603,984,288,070,717,963,007,077,987,872,920,640,961,559,915,164,
849,332,347,563,411,455,108,816,875,190,584,864,772,582,737,942,167,127,169,
971,749,449,100,894,371,784,049,010,040,501,414,290,258,291,366,913,852,851,
477,776,313,987,939,842,919,874,738,430,534,560,046,211,563,920,462,840,249,
783,523,446,741,139,446,421,208,509,352,982,615,297,391,193,716,013,481,259,
963,176,685,104,480,866,110,278,319,983,425,458,047,389,454,043,701,867,347,
354,704,533,009,786,835,498,377,624,979,490,010,808,328,257,609,593,024,667,
163,800,171,468,189,884,456,480,308,937,664,244,473,661,399,222,916,577,251,
216,848,364,540,985,513,718,204,687,070,851,136,512,752,118,646,965,229,278,
437,325,267,778,236,495,669,955,150,788,793,373,580,550,885,631,764,073,786,
322,860,101,342,277,583,196,185,850,232,665,774,730,170,052,076,313,487,460,
864,302,734,386,820,000,030,747,930,981,252,378,756,628,433,466,175,267,441,
860,621,084,555,428,559,310,262,499,159,273,238,461,096,470,978,803,489,679,
439,652,509,415,739,705,290,826,176,548,816,361,296,571,639,326,249,882,844,
774,987,242,474,512,106,166,592,247,300,948,543,228,295,220,622,677,919,379,
592,481,092,900,966,709,836,371,202,691,479,643,240,453,338,281,311,412,036,
286,335,110,032,175,337,226,031,941,587,194,087,899,567,936,826,720,159,977,
307,725,919,230,269,547,319,120,825,119,720,321,354,379,979,653,258,310,659,
044,099,411,433,499,175,294,876,672,617,289,813,854,736,796,715,341,011,133,
748,291,739,560,327,268,112,147,175,387,674,782,767,869,722,370,856,373,884,
100,354,896,701,952,662,800,246,102,679,359,212,152,087,954,425,834,234,874,
141,232,841,291,068,932,062,082,308,986,942,080,407,817,249,197,919,806,349,
480,461,364,698,241,258,769,268,975,849,324,993,280,943,669,228,469,977,531,
178,886,315,455,084,446,809,962,589,629,223,623,251,415,353,776,935,286,976,
077,220,787,638,071,623,134,977,459,687,968,584,609,403,994,257,504,567,601,
656,582,059,316,830,422,998,928,874,001,978,626,083,957,912,817,031,342,561,
285,096,522,483,765,090,186,311,942,136,516,155,562,141,779,893,772,976,208,
192,011,269,174,511,756,634,621,910,072,803,361,543,876,800,943,987,928,878,
473,733,935,615,864,683,593,797,991,238,086,158,007,446,528,347,941,067,894,
649,895,359,049,606,047,231,995,873,643,273,358,118,256,129,574,503,094,290,
128,118,900,228,404,750,852,820,961,979,855,056,166,075,315,929,972,929,901,
105,792,864,872,382,069,560,227,709,311,455,229,791,435,583,022,247,556,674,
329,973,079,515,366,701,684,006,373,472,563,285,699,639,757,444,399,631,026,
725,089,569,065,022,891,554,213,612,231,699,984,837,065,008,593,799,704,001,
338,220,325,079,750,166,403,699,150,922,802,406,179,691,500,686,340,833,585,
928,162,942,419,965,841,932,814,301,366,108,138,883,750,367,795,510,545,387,
188,978,179,126,347,236,087,929,895,231,912,913,233,617,848,894,197,092,100,
930,324,049,903,223,258,641,788,193,174,841,283,083,479,957,402,844,343,551,
555,926,029,619,779,887,686,261,458,560,850,766,946,108,326,010,954,596,205,
674,896,744,896,024,819,818,313,240,688,713,193,299,242,159,625,864,479,654,
763,013,998,173,786,571,260,026,440,941,947,869,913,182,545,106,593,684,104,
052,888,330,293,991,361,193,195,306,494,905,874,797,646,706,364,354,353,577,
688,230,132,295,828,618,004,484,878,532,741,786,934,578,381,596,998,539,431,
782,142,830,987,112,312,867,525,241,459,910,322,111,216,272,722,715,189,542,
572,157,511,065,972,386,384,937,873,112,848,756,526,985,251,272,395,230,290,
556,053,152,778,494,918,034,209,774,460,419,393,451,496,381,671,213,210,887,
006,600,380,170,730,920,291,422,774,165,458,607,323,572,790,267,110,955,398,
449,314,878,296,805,727,382,849,883,200,757,876,848,681,109,852,272,912,302,
498,897,334,239,035,397,002,238,710,139,100,234,905,984,553,981,428,389,733,
071,072,866,159,506,538,275,108,820,632,025,856,985,988,212,854,053,361,162,
897,071,565,509,746,697,826,143,796,929,224,156,724,192,041,032,107,218,668,
184,644,094,229,118,950,530,892,614,562,821,362,849,133,320,682,451,417,857,
287,984,526,272,495,949,719,767,843,813,559,870,354,851,906,628,615,790,554,
169,859,965,272,462,179,262,408,945,730,926,328,407,358,412,623,836,989,498,
068,221,182,353,699,438,564,494,694,495,160,426,702,338,084,374,586,289,608,
551,406,983,926,610,047,380,138,534,732,924,090,267,543,888,764,418,939,037,
911,788,079,934,124,698,362,659,470,856,560,830,015,561,182,097,246,150,562,
720,675,834,817,699,915,863,877,065,555,226,080,887,882,962,507,552,509,142,
427,593,165,824,710,519,057,556,165,425,772,094,953,218,369,464,706,305,552,
037,090,910,350,040,233,659,133,033,205,048,009,482,696,407,559,990,616,649,
969,802,369,791,148,066,053,693,945,520,231,335,037,314,344,225,396,278,348,
199,517,975,792,985,399,302,965,447,301,832,224,453,787,467,708,242,686,289,
564,696,618,676,787,472,751,922,314,397,786,959,558,814,004,041,663,830,717,
651,134,447,813,618,324,076,529,372,570,343,644,564,719,289,486,218,009,586,
350,681,376,562,696,702,956,305,511,582,288,927,766,054,054,319,734,750,697,
472,914,776,833,916,452,832,196,583,315,589,703,071,277,653,664,107,915,344,
567,600,877,247,098,011,182,600,926,801,879,428,591,681,223,693,042,473,998,
417,962,860,296,736,938,194,315,171,398,741,113,994,193,673,962,599,589,153,
150,799,557,844,053,742,788,897,136,775,488,641,715,773,903,961,662,088,721,
462,499,911,640,703,554,452,451,406,459,459,348,392,590,476,741,802,638,411,
149,011,040,413,745,999,485,925,957,791,058,262,170,249,195,748,591,785,955,
908,379,882,062,141,084,562,350,503,748,138,175,191,318,352,028,466,879,593,
275,875,757,476,822,110,169,502,790,434,628,128,189,765,889,353,300,431,085,
640,440,337,201,698,868,879,345,122,973,710,780,918,369,152,220,963,421,137,
268,861,200,842,322,126,151,832,276,749,739,970,545,077,796,317,234,060,635,
884,827,852,797,526,212,485,816,452,071,404,960,146,374,482,532,620,386,222,
592,930,586,019,338,057,877,864,563,941,493,298,049,812,954,544,177,824,161,
022,655,317,970,839,890,808,656,564,930,476,300,670,280,370,164,156,281,365,
340,935,993,845,970,381,844,401,209,461,202,597,618,409,056,059,185,597,661,
794,100,164,884,723,886,410,007,277,181,155,132,092,147,232,397,243,279,973,
452,394,873,110,764,941,549,250,057,263,206,210,708,999,351,576,419,139,950,
880,846,774,503,539,250,967,838,266,161,344,419,008,573,938,444,221,086,181,
012,684,376,137,549,144,212,603,216,246,472,896,629,603,631,640,141,866,631,
915,898,327,495,284,574,762,047,272,218,149,449,143,455,107,016,705,806,748,
677,910,016,963,736,526,587,630,313,328,703,297,331,034,492,445,012,420,331,
345,467,051,974,110,259,877,748,077,309,995,679,629,635,776,131,719,168,112,
321,067,161,212,691,250,502,523,866,893,629,603,599,674,775,454,120,609,485,
232,885,022,453,682,021,575,195,389,813,653,046,608,590,553,439,167,211,938,
245,076,762,321,980,358,217,639,768,634,798,799,547,776,971,564,093,869,109,
824,838,385,019,382,653,250,230,141,755,267,415,918,780,905,689,100,446,874,
384,575,984,846,379,319,548,608,227,682,125,897,544,114,522,866,120,783,723,
100,428,571,709,161,329,131,911,980,835,953,117,396,520,099,862,289,831,801,
385,910,889,049,785,120,450,864,884,115,045,575,530,063,689,142,409,312,061,
331,554,451,764,444,943,552,859,287,880,520,786,968,847,927,195,781,213,274,
342,343,042,456,544,165,900,994,686,554,720,584,861,534,128,610,211,239,865,
957,236,123,990,859,894,765,761,642,515,979,252,749,823,456,428,470,718,721,
762,241,178,368,431,950,067,736,420,484,433,796,993,018,517,792,415,991,492,
733,319,984,735,210,401,719,891,525,450,870,851,048,826,233,901,941,280,804,
984,997,082,702,892,329,051,659,255,813,358,251,497,624,449,431,251,236,004,
808,384,280,989,191,322,872,054,495,992,080,228,167,826,688,822,262,319,671,
418,772,546,803,220,613,915,413,879,962,893,851,907,893,605,707,590,183,864,
437,275,035,328,487,161,002,982,959,060,815,465,701,816,633,306,836,065,877,
199,553,915,690,122,916,285,730,587,976,600,660,092,342,029,543,241,509,461,
646,932,534,850,144,628,869,235,730,815,989,424,671,925,567,411,503,978,605,
177,884,208,080,055,463,979,938,987,482,116,239,300,231,913,497,328,389,358,
564,331,104,634,965,057,861,296,098,832,343,162,443,978,212,984,161,763,883,
213,550,053,045,030,597,132,909,869,081,022,719,823,767,750,691,992,885,969,
814,659,610,525,964,799,217,031,150,538,331,167,836,037,972,796,893,110,817,
453,805,493,746,582,550,207,781,128,529,745,957,295,926,683,183,855,777,983,
488,253,217,519,158,520,893,909,225,403,438,711,664,199,785,635,174,603,819,
623,353,470,769,754,879,229,256,203,825,492,554,440,083,869,347,450,817,444,
459,184,851,232,318,196,963,492,886,907,227,288,419,558,947,719,873,140,313,
847,238,279,050,745,076,911,009,713,646,216,976,455,731,637,505,432,364,607,
351,592,467,314,240,790,285,946,992,056,830,190,242,897,889,973,657,216,088,
613,361,119,838,670,834,799,061,258,712,409,438,724,149,734,354,265,228,965,
483,359,023,387,522,686,179,443,088,477,614,238,792,094,395,109,597,437,081,
719,902,570,016,713,773,828,310,658,783,016,016,400,470,228,243,651,884,284,
802,739,082,386,211,920,449,428,205,865,959,758,584,975,846,820,416,786,501,
189,447,321,306,374,567,300,128,735,091,082,183,621,116,431,943,134,671,269,
346,036,968,372,693,739,343,814,381,691,574,237,481,750,208,105,845,775,937,
461,859,178,489,556,273,043,375,579,281,822,337,956,165,022,228,385,146,847,
867,733,826,520,646,757,492,630,298,511,449,505,060,591,784,879,362,401,040,
701,179,374,607,051,159,614,882,166,112,961,246,917,595,687,351,267,102,559,
203,096,783,420,501,673,811,359,660,287,747,965,688,865,567,585,865,992,102,
852,285,084,070,091,495,138,641,914,131,356,671,871,042,941,347,025,606,870,
732,644,546,362,513,664,640,334,829,184,786,800,888,689,140,808,337,821,865,
438,001,188,380,411,520,169,536,877,394,635,478,570,190,942,557,730,691,063,
971,999,158,362,115,166,991,819,177,100,673,686,988,288,548,631,591,436,996,
176,438,160,645,503,998,665,291,695,987,650,590,688,871,908,798,632,500,298,
410,662,160,450,965,803,627,469,452,574,660,144,950,818,357,567,871,897,451,
132,804,649,147,241,744,534,939,048,680,492,823,761,378,830,952,893,827,168,
977,750,035,457,167,967,992,898,855,758,510,986,922,524,393,900,852,472,659,
470,578,733,308,545,221,894,435,341,569,256,782,825,973,837,212,678,493,256,
114,896,733,770,427,418,648,431,879,031,036,706,718,598,467,859,692,271,441,
413,674,673,043,228,109,218,117,272,455,347,109,491,241,086,974,728,262,591,
933,390,829,563,434,824,362,182,228,296,753,570,976,879,747,221,261,186,893,
948,637,938,273,067,240,868,001,331,210,822,016,729,622,753,045,530,539,971,
822,579,438,359,386,135,956,132,837,883,028,049,614,563,359,364,058,909,203,
215,966,639,275,775,925,500,012,798,671,516,170,596,755,411,499,014,648,017,
144,659,234,419,741,800,277,088,474,430,075,457,316,459,119,799,240,736,216,
014,659,176,957,613,393,953,788,621,909,491,436,928,221,162,968,071,911,600,
430,692,405,402,050,262,332,652,043,204,150,666,865,045,100,574,430,954,032,
209,550,424,019,218,525,878,463,982,690,621,277,881,050,932,902,215,378,953,
502,055,086,603,816,048,653,314,949,472,826,852,443,036,144,791,255,661,341,
762,334,168,190,235,109,053,690,193,795,575,318,349,204,924,951,205,097,871,
157,260,992,118,231,541,684,914,250,867,750,899,820,348,193,446,433,576,539,
264,737,719,365,306,816,352,842,558,725,333,615,208,737,910,365,349,065,521,
392,443,038,177,740,379,131,972,734,830,921,762,076,761,005,475,382,433,729,
756,384,212,568,943,664,190,966,258,334,249,142,477,928,225,026,948,725,354,
354,104,740,788,478,544,123,515,281,471,907,687,800,009,551,526,046,037,842,
803,938,238,155,510,109,957,498,136,843,412,779,548,722,286,621,147,354,154,
822,780,546,864,309,132,442,942,779,445,912,455,631,118,825,374,005,642,266,
152,295,877,752,608,246,904,055,659,601,463,985,850,401,794,289,583,117,960,
313,745,322,407,255,144,666,623,397,302,095,251,436,299,367,794,586,857,979,
728,339,577,096,984,644,172,835,164,199,711,081,566,677,518,408,440,844,948,
472,494,350,856,029,563,931,904,987,596,735,007,596,173,756,079,589,748,268,
343,146,413,002,085,322,636,310,236,942,475,360,092,358,678,744,886,799,479,
252,016,006,186,042,360,069,036,965,189,930,202,798,466,757,143,508,663,490,
456,078,464,432,956,780,589,733,517,697,235,777,972,336,747,689,176,105,177,
720,428,938,524,688,502,332,483,778,438,172,292,669,897,982,871,977,578,556,
435,343,980,098,492,574,960,822,908,891,132,384,632,578,368,102,348,385,108,
942,568,369,461,728,109,414,654,138,714,285,820,666,056,279,449,109,657,325,
878,841,787,846,799,647,804,937,711,325,638,217,621,181,371,963,447,971,112,
361,970,981,192,090,326,675,770,528,450,269,761,021,406,194,460,561,697,917,
250,735,651,660,193,313,202,287,331,019,546,759,403,106,579,389,685,173,623,
946,070,072,125,311,307,623,409,126,758,444,216,145,905,210,997,194,619,982,
007,354,992,452,848,842,713,785,086,399,519,033,152,835,023,169,926,159,513,
336,104,140,478,850,604,105,234,801,225,565,823,441,064,437,441,397,856,224,
278,523,262,441,858,867,690,786,668,847,120,514,718,090,204,615,170,295,332,
496,932,156,769,556,517,152,910,929,787,982,218,553,956,340,444,616,160,999,
724,949,923,949,399,896,312,555,043,105,646,454,905,735,766,612,118,875,467,
838,837,776,889,991,677,309,935,417,023,098,830,203,949,938,431,441,840,909,
011,029,990,501,200,378,604,380,069,122,907,063,739,004,175,713,586,351,249,
047,085,470,093,140,529,328,856,930,989,084,961,588,995,770,058,966,769,621,
207,340,327,748,115,927,457,273,267,950,441,492,101,986,071,976,674,627,694,
050,169,510,759,795,728,847,661,503,384,244,238,352,980,443,137,572,616,245,
310,042,543,378,762,343,124,549,103,686,810,933,002,894,152,169,118,584,949,
314,080,136,245,507,767,149,288,897,380,082,656,845,543,352,785,806,394,996,
303,866,693,936,993,862,224,915,029,685,377,366,417,221,000,633,081,141,064,
773,217,975,746,653,902,904,549,902,751,530,282,226,480,733,256,308,477,003,
195,685,698,322,521,200,271,846,764,222,899,375,069,168,496,744,778,816,474,
161,646,222,534,517,124,918,859,141,362,713,897,229,836,123,275,217,976,340,
739,505,877,536,336,762,519,549,706,974,808,286,123,536,100,638,666,747,601,
462,084,026,481,709,857,834,034,526,007,612,173,219,597,856,431,861,954,500,
486,282,857,976,722,314,606,137,532,049,025,945,327,622,593,061,045,545,373,
990,924,315,078,229,876,979,491,743,381,782,622,612,287,861,836,190,260,773,
906,736,762,005,774,492,397,860,320,681,808,757,174,766,458,462,303,118,938,
418,543,083,547,113,986,599,150,494,933,056,851,161,319,622,663,900,105,257,
772,178,336,251,202,731,965,435,866,016,189,387,563,483,545,891,821,701,370,
126,472,817,006,148,185,966,103,209,781,290,991,338,907,777,278,973,820,663,
129,614,786,315,955,301,909,115,608,983,178,360,636,202,258,133,583,698,913,
004,548,945,707,733,661,867,047,015,266,805,736,594,106,775,482,645,106,888,
881,363,863,801,807,946,287,920,311,877,923,177,458,502,496,603,891,891,083,
175,504,997,205,652,354,835,595,459,438,558,835,945,047,673,711,690,404,106,
411,658,725,145,966,630,989,938,160,337,897,048,462,664,122,884,102,074,439,
460,666,559,426,353,491,873,965,244,936,361,903,606,752,183,437,677,347,553,
771,990,880,198,153,476,819,423,606,001,910,395,547,998,135,255,613,950,993,
451,824,572,471,727,945,875,431,579,406,024,090,881,975,357,645,768,757,040,
003,045,531,704,448,311,502,928,488,282,002,053,868,848,893,027,348,314,187,
022,760,024,264,983,673,874,378,222,694,812,945,141,337,374,757,531,248,861,
344,441,407,254,625,950,178,871,155,473,354,912,349,016,621,757,759,201,239,
855,688,489,800,183,315,408,735,574,914,495,788,081,159,069,934,199,174,506,
023,569,057,862,838,028,164,923,661,478,513,527,726,170,370,087,905,831,787,
213,638,082,593,638,756,350,155,006,806,437,889,107,933,219,891,333,249,003,
259,770,681,221,965,141,445,867,210,181,786,489,952,560,797,799,968,830,178,
849,688,892,079,432,161,990,766,188,460,450,274,310,528,113,404,408,403,331,
016,993,814,723,785,693,769,624,294,408,782,707,538,880,472,508,320,823,144,
944,966,190,434,326,943,725,541,170,805,024,902,566,435,434,750,797,005,559,
402,063,883,550,749,107,849,290,327,938,888,451,173,309,085,608,423,025,478,
346,147,660,691,757,552,869,588,191,151,444,414,890,440,911,367,102,453,326,
700,553,200,444,916,556,628,709,485,585,681,866,168,824,813,644,881,868,325,
046,628,480,734,921,895,162,594,384,808,392,193,275,293,323,793,667,786,526,
740,876,597,342,793,915,884,371,544,606,284,018,209,671,714,605,999,696,075,
593,141,184,629,541,430,829,642,073,696,927,276,485,214,945,797,281,273,349,
242,308,536,540,535,358,181,922,194,815,288,707,057,428,870,489,412,045,549,
530,806,241,795,935,085,273,606,305,908,420,208,124,569,229,774,557,123,502,
205,304,041,382,874,656,995,472,634,631,816,231,907,613,978,581,059,263,190,
631,324,349,267,746,724,516,482,118,251,209,156,346,763,981,816,918,132,031,
251,510,868,862,503,226,804,388,929,074,821,119,983,051,262,326,160,275,332,
763,016,847,115,726,236,148,990,190,199,802,248,494,820,701,452,858,275,479,
055,379,000,949,254,834,446,585,751,120,983,048,087,548,731,746,792,109,324,
583,966,647,773,937,962,467,109,138,113,932,808,048,461,577,737,552,131,567,
116,302,249,199,598,675,787,699,582,421,503,118,531,250,190,623,053,982,104,
106,853,810,659,290,997,680,694,626,873,586,863,252,547,647,327,970,850,018,
069,168,039,279,334,163,975,479,156,261,618,124,548,014,986,037,796,876,057,
626,349,979,981,152,128,222,335,804,772,752,048,281,112,252,381,980,279,078,
374,842,574,469,964,760,144,872,389,480,265,857,068,896,402,988,691,410,416,
062,405,646,790,575,364,272,037,068,640,743,885,210,941,033,770,798,683,658,
493,337,281,637,095,983,244,545,458,304,721,609,397,676,608,033,007,289,179,
354,086,287,107,130,135,861,259,042,731,750,439,632,158,258,045,330,289,034,
563,817,814,187,844,334,934,545,569,182,433,209,442,745,073,626,557,448,883,
166,845,243,502,498,218,391,259,365,605,534,142,325,286,924,878,020,146,224,
995,908,830,928,553,692,658,537,096,107,553,966,781,024,802,496,496,576,810,
921,221,483,090,651,111,655,614,539,496,545,019,774,632,434,283,596,901,024,
721,941,211,070,296,285,750,463,138,284,607,956,888,941,439,809,803,591,409,
519,869,412,167,183,882,093,115,088,591,534,005,100,813,930,209,748,758,234,
083,638,537,590,091,550,169,307,337,283,053,413,916,929,895,279,720,959,066,
975,970,660,886,812,220,903,055,852,385,156,372,080,517,661,777,171,678,524,
750,639,142,820,528,704,203,386,973,014,731,207,685,948,160,828,569,544,646,
158,273,071,131,623,534,325,082,058,499,070,191,812,155,641,174,416,354,260,
717,448,683,394,372,581,682,343,339,841,718,574,276,745,312,026,191,290,883,
089,299,563,725,993,142,851,517,074,698,140,867,604,544,733,036,133,045,925,
845,679,596,709,760,344,746,720,909,631,627,384,528,284,796,089,113,179,754,
126,858,976,549,967,998,505,054,219,159,062,579,477,173,991,717,177,095,761,
859,778,567,249,420,293,411,496,119,276,865,163,170,749,507,472,845,514,897,
049,881,596,434,393,424,363,056,803,289,620,901,614,585,518,950,960,459,164,
172,845,101,747,545,163,476,405,559,883,394,820,175,367,692,962,061,314,522,
498,865,674,573,502,305,885,533,047,152,244,878,420,254,147,976,325,024,547,
063,299,815,552,669,119,102,906,242,038,946,366,849,128,590,728,401,107,118,
700,884,472,766,589,197,255,925,530,264,586,934,055,552,753,195,400,995,568,
771,851,203,192,243,629,614,495,687,396,408,983,121,373,810,997,332,021,240,
702,573,099,487,379,854,789,006,496,892,939,170,258,272,691,050,259,987,979,
111,832,605,691,289,063,754,000,053,582,452,983,612,726,044,915,125,548,535,
844,034,234,495,096,710,936,759,469,431,527,942,906,614,757,625,378,080,817,
521,659,335,855,975,624,654,561,510,034,885,026,270,689,260,802,576,339,916,
927,855,278,793,944,934,763,211,456,687,429,133,624,733,991,031,050,098,538,
135,930,994,135,963,242,809,630,676,174,697,618,183,913,460,189,763,618,954,
612,258,562,455,450,991,408,308,594,974,520,695,710,612,446,992,123,611,620,
883,328,601,482,969,544,787,636,339,473,158,866,633,891,918,812,460,434,418,
501,994,654,734,636,313,592,477,504,245,869,683,238,617,344,341,116,562,454,
388,551,362,483,368,747,108,721,845,831,680,141,886,110,817,397,311,467,213,
587,344,478,294,835,802,289,397,693,458,046,147,777,657,135,978,699,938,274,
844,643,072,897,989,708,088,060,988,976,093,960,526,442,125,821,341,985,473,
614,851,040,946,853,363,046,556,620,249,404,140,335,994,894,168,399,407,127,
645,250,994,839,123,748,128,651,361,421,672,174,308,129,740,583,684,252,759,
291,079,531,447,615,007,240,256,951,165,607,459,994,232,416,179,929,405,672,
041,655,462,002,362,540,318,874,572,371,707,103,836,539,649,252,091,969,437,
012,904,936,519,886,667,037,852,086,210,205,126,963,923,017,889,769,143,570,
971,838,163,072,474,777,598,886,823,710,389,576,016,796,537,168,649,267,756,
142,052,827,679,876,326,328,671,102,379,861,419,758,802,219,041,573,149,267,
619,685,965,875,074,795,538,376,592,075,985,908,594,252,226,154,524,515,979,
627,572,021,077,571,786,596,075,181,728,417,505,783,515,881,092,750,038,753,
322,042,111,683,764,779,090,907,658,135,972,630,942,948,697,356,570,166,730,
650,894,046,613,859,591,671,088,396,282,056,398,848,316,399,747,062,911,318,
200,562,064,224,037,194,225,428,960,412,543,851,347,745,404,415,821,099,156,
970,913,168,039,335,922,049,407,432,820,073,540,021,232,899,509,627,113,858,
654,223,665,164,482,111,065,191,492,071,691,153,976,489,321,582,594,661,113,
694,356,623,431,210,646,509,910,219,542,315,662,766,160,029,648,100,129,597,
659,842,291,922,543,553,284,809,564,506,810,144,611,026,941,070,047,484,905,
278,441,253,979,990,754,524,086,900,289,612,025,051,071,490,893,821,411,408,
555,480,224,834,566,960,134,352,677,302,679,737,948,451,740,708,157,318,219,
172,637,520,640,919,724,373,938,053,873,780,975,276,356,711,620,051,191,396,
321,771,711,530,351,527,423,767,475,676,935,076,561,208,951,107,052,125,796,
231,761,485,681,026,472,428,923,042,004,188,927,698,607,326,839,640,687,410,
399,412,653,654,717,415,536,116,112,603,255,863,308,682,249,770,886,890,076,
107,751,711,195,307,871,280,608,345,850,147,363,469,509,883,253,321,217,392,
809,637,701,313,661,134,969,485,138,690,304,056,341,222,137,957,159,426,793,
308,720,799,467,957,206,513,069,544,153,049,069,178,434,507,460,558,446,656,
875,204,700,250,356,502,314,626,991,525,702,160,682,453,783,232,726,311,109,
510,408,067,554,559,684,614,370,471,560,183,357,754,185,298,460,383,400,218,
104,729,236,268,189,449,612,303,062,700,267,260,696,254,176,011,027,417,847,
201,564,337,519,686,968,505,681,617,682,616,725,200,638,974,629,028,539,256,
504,925,829,019,831,793,892,290,024,799,372,622,729,789,114,523,408,703,134,
420,424,581,489,101,027,919,933,447,211,406,896,086,696,174,275,432,474,954,
691,832,455,328,707,336,671,787,750,351,912,611,958,740,878,000,653,414,570,
246,768,825,123,679,395,080,302,616,155,135,600,285,287,405,316,109,419,669,
868,715,667,706,772,173,513,047,091,612,252,397,675,821,703,883,792,832,763,
466,723,046,655,990,684,373,716,073,347,633,562,891,978,045,416,467,076,495,
179,627,045,529,386,499,401,810,132,986,398,287,959,598,771,897,160,304,768,
449,094,643,038,739,254,758,258,652,156,450,344,993,922,424,214,531,870,026,
448,314,249,070,415,397,282,377,436,408,872,034,035,663,049,052,455,068,542,
272,335,857,778,235,429,105,024,422,628,957,317,307,525,865,014,127,716,279,
968,375,387,769,919,969,355,647,243,419,248,034,436,216,220,058,552,298,698,
878,625,732,160,397,707,121,183,340,339,391,165,779,452,731,841,333,125,873,
509,833,368,336,473,740,867,767,051,348,504,879,801,846,623,448,346,089,444,
826,702,463,011,937,899,653,388,535,920,344,324,421,849,050,021,001,754,721,
174,068,551,878,123,333,057,213,005,722,479,113,086,444,801,154,546,262,228,
688,610,849,154,447,652,816,111,206,641,143,292,949,027,858,832,911,659,042,
106,318,239,773,025,086,899,827,335,431,425,172,157,364,421,267,825,350,473,
610,170,068,064,681,132,745,394,714,508,343,535,561,537,216,728,427,896,367,
977,605,212,087,760,279,414,700,870,178,807,855,509,112,546,894,493,494,244,
453,831,237,547,140,448,934,995,765,280,540,381,408,918,188,588,668,638,227,
236,551,526,369,901,320,022,606,979,631,113,002,272,400,317,889,306,336,547,
500,906,662,253,515,191,232,790,166,611,140,042,987,809,108,424,890,144,810,
273,919,948,877,752,473,618,020,300,138,273,547,846,075,325,220,153,098,544,
771,153,173,185,223,687,392,573,916,480,306,705,438,413,800,361,245,454,391,
046,224,076,229,995,818,310,541,651,879,795,105,798,295,805,496,111,429,027,
042,602,014,050,419,353,221,897,767,560,096,906,178,751,317,932,989,446,675,
735,097,354,958,923,747,943,984,284,849,764,024,606,141,996,434,539,781,364,
397,645,441,984,872,741,884,468,051,378,972,596,746,502,176,840,076,491,555,
204,443,588,011,271,965,657,685,278,261,449,372,566,408,098,818,336,767,218,
935,922,984,826,920,773,818,222,709,424,850,614,894,473,178,810,110,932,362,
468,627,190,255,326,800,995,965,812,878,122,109,551,894,071,351,088,403,405,
012,500,199,683,160,129,145,628,472,187,710,326,083,531,945,133,527,094,904,
311,058,590,616,920,421,962,413,519,899,753,413,373,943,385,603,528,461,716,
905,595,241,078,424,407,512,413,033,582,188,185,916,037,722,385,935,580,404,
482,457,064,914,903,018,126,078,240,990,717,772,154,599,156,161,773,575,655,
941,659,281,304,961,574,620,044,962,501,449,253,544,436,438,458,869,925,891,
748,876,132,431,960,419,563,164,174,098,328,910,593,952,139,355,183,405,117,
074,142,571,641,111,927,199,192,573,281,166,073,773,943,224,729,785,677,259,
661,486,427,205,315,408,719,067,497,597,573,771,545,437,418,843,322,240,136,
057,772,454,749,123,159,684,946,031,726,596,501,439,820,663,352,147,269,259,
518,982,654,315,078,810,570,434,074,212,752,218,761,908,443,331,044,052,162,
493,136,107,461,499,352,993,223,196,400,951,376,660,694,194,445,523,697,132,
508,942,029,824,489,125,673,593,111,575,250,240,255,759,825,405,192,134,490,
767,272,377,003,049,325,747,588,954,690,854,039,435,454,890,798,327,952,090,
954,893,734,442,838,947,719,503,532,352,784,759,606,932,864,538,238,982,398,
706,704,457,686,559,771,163,102,210,578,884,657,778,295,084,815,681,957,302,
588,904,710,185,997,975,223,937,547,837,214,194,790,690,032,092,082,823,765,
234,349,079,444,653,325,457,462,128,933,659,288,476,165,707,318,376,014,885,
892,957,317,863,432,161,098,805,229,654,133,151,956,602,299,289,813,175,468,
523,108,229,158,089,835,503,560,668,326,874,549,050,487,632,132,305,642,751,
825,032,348,043,490,447,765,331,956,453,444,958,911,049,037,441,055,517,345,
466,959,736,372,487,579,606,089,698,739,715,784,834,783,504,719,055,776,348,
152,959,210,133,826,757,448,019,172,339,383,595,880,968,650,963,773,462,040,
220,921,333,554,779,261,041,395,971,965,430,019,142,446,406,536,861,362,983,
375,807,105,520,465,134,793,090,745,399,510,510,751,964,108,208,445,730,946,
908,039,457,259,257,166,455,428,633,775,914,708,120,930,785,110,904,067,407,
058,199,497,567,504,449,999,073,000,239,637,831,347,237,874,700,416,315,694,
480,952,993,068,226,448,111,914,743,066,437,192,642,444,856,710,063,456,495,
684,176,507,649,058,652,876,412,309,541,106,952,031,686,341,751,612,751,268,
556,145,476,848,322,316,032,098,185,069,073,947,126,487,817,689,991,641,506,
347,825,265,364,451,039,884,433,870,135,196,000,886,449,334,799,245,751,754,
029,271,416,130,267,954,170,383,675,359,095,170,705,213,548,052,222,883,781,
410,891,136,268,065,100,987,138,737,859,671,877,832,524,547,206,153,820,246,
415,117,240,323,143,282,174,919,182,891,184,670,876,973,217,178,486,409,169,
114,701,109,663,947,009,578,229,871,601,181,849,428,341,682,964,607,501,600,
055,453,499,331,318,580,107,530,586,055,042,674,264,365,524,768,256,317,678,
164,727,348,883,428,518,995,079,475,638,154,620,318,047,844,802,946,318,580,
465,421,016,234,765,414,570,147,215,886,373,655,921,830,338,703,956,658,965,
132,238,081,361,478,099,388,227,430,777,848,676,740,446,035,835,202,072,822,
424,419,499,000,425,605,735,538,915,555,401,938,895,161,477,499,593,315,034,
962,284,226,591,097,996,406,902,004,830,517,761,691,926,452,106,002,553,138,
514,621,833,055,281,468,046,016,876,300,380,700,869,953,486,010,761,839,660,
091,584,792,323,237,129,913,626,026,488,221,988,432,042,663,533,079,521,979,
221,282,373,992,593,617,653,597,989,275,911,243,682,774,695,749,052,250,754,
837,010,209,852,071,120,986,723,982,248,793,419,065,698,900,176,982,348,326,
900,336,484,288,488,682,285,476,577,165,088,103,010,333,286,044,619,048,399,
493,941,840,112,500,029,507,698,561,905,236,500,498,602,985,938,009,635,153,
061,598,537,905,807,033,254,690,387,623,134,755,699,880,907,168,946,869,261,
659,256,539,615,900,083,851,459,145,666,830,744,394,465,479,365,985,625,216,
043,232,114,332,044,510,053,902,793,785,596,957,399,278,027,710,322,246,722,
339,815,076,310,642,257,509,232,912,155,185,478,089,926,699,337,822,229,100,
794,883,662,283,405,345,845,068,841,576,618,808,403,102,114,262,587,480,753,
205,758,186,007,857,982,067,108,928,219,025,382,523,541,775,334,150,890,846,
259,825,164,532,686,541,931,027,897,861,048,860,441,463,048,332,837,325,746,
818,218,072,886,566,693,770,920,065,400,993,691,854,364,276,659,919,120,530,
726,685,538,446,688,223,272,241,716,040,463,847,735,342,168,473,031,355,249,
817,409,762,992,541,491,422,929,518,537,224,415,626,631,119,544,540,260,115,
433,947,496,324,104,454,865,299,093,740,714,025,262,515,200,583,137,350,607,
454,947,236,975,599,912,999,712,029,929,190,417,906,083,168,078,110,413,777,
280,970,449,587,402,485,115,293,691,285,107,259,353,030,371,116,930,226,972,
138,028,878,663,456,089,306,388,376,516,911,148,723,853,370,828,982,670,867,
622,526,063,411,407,242,059,643,061,416,974,196,631,369,059,011,715,807,926,
488,474,381,779,622,956,759,842,581,736,465,944,772,400,650,095,431,149,874,
852,858,328,545,902,235,402,595,167,097,480,256,737,509,938,846,367,457,587,
380,141,418,473,666,154,090,291,565,298,435,325,891,981,518,672,281,817,656,
397,704,588,552,985,403,836,822,290,175,382,982,829,765,560,659,715,508,956,
069,898,863,003,450,768,788,011,186,266,547,301,221,481,865,470,906,094,685,
852,564,766,488,689,559,021,445,840,569,959,319,463,341,841,099,205,220,042,
239,798,285,045,172,899,561,412,525,602,743,972,905,986,391,447,352,869,878,
233,043,044,329,259,892,461,361,966,586,610,637,581,089,869,121,151,776,477,
737,876,379,517,957,462,048,928,666,369,686,748,701,655,404,163,249,838,071,
915,961,080,085,307,863,541,774,134,106,837,050,190,062,937,439,312,366,490,
638,700,572,601,839,384,239,357,414,856,906,957,389,556,768,814,783,604,628,
333,036,335,644,460,090,192,871,544,091,058,504,171,654,024,367,242,452,223,
146,646,642,851,790,513,916,379,963,355,364,826,795,049,807,731,791,761,858,
363,790,260,662,970,797,848,139,757,707,584,700,099,323,755,660,221,509,322,
078,644,624,804,686,389,502,929,995,243,224,820,747,643,172,078,272,382,091,
898,714,616,867,756,919,969,132,023,750,376,241,434,775,231,025,634,542,321,
585,345,895,018,251,667,038,516,139,918,976,360,577,840,252,486,024,552,219,
771,088,459,698,373,839,301,401,537,175,036,532,812,224,294,159,875,458,633,
541,236,169,268,675,380,617,495,462,164,932,782,973,978,259,308,368,375,455,
890,535,423,086,124,534,141,142,320,600,198,920,649,319,716,422,037,710,294,
591,478,641,090,780,831,045,657,564,925,818,453,805,630,605,163,567,918,930,
384,813,911,770,140,821,239,307,325,601,381,024,129,229,617,478,154,443,800,
315,637,466,126,764,254,838,486,529,799,698,265,449,087,891,729,152,977,904,
338,276,209,248,209,179,856,665,411,154,060,507,626,173,146,844,270,973,705,
038,693,988,889,054,483,514,263,966,783,659,038,264,004,398,991,916,241,932,
913,166,841,924,863,615,108,153,393,258,587,388,151,154,794,167,056,864,649,
381,802,352,727,704,399,539,660,218,227,567,059,054,057,218,434,135,274,645,
255,988,484,019,677,836,306,334,335,630,989,366,356,363,999,494,317,561,290,
357,938,523,594,918,377,231,580,172,067,032,972,769,024,199,841,488,295,162,
090,448,276,191,676,474,268,925,385,783,687,824,629,227,793,503,940,625,158,
914,225,577,956,899,329,979,195,717,369,754,244,854,739,365,149,637,455,064,
906,303,966,922,166,841,571,316,692,970,297,629,995,910,825,069,092,349,580,
850,724,927,902,810,414,880,836,474,897,166,736,298,092,351,542,666,293,058,
652,285,182,994,123,922,232,208,391,110,413,750,852,821,524,260,776,331,615,
529,922,664,651,135,167,441,478,769,535,703,198,037,328,129,591,148,797,708,
312,102,205,223,859,767,317,291,672,715,101,127,301,669,283,131,073,005,930,
590,151,689,790,490,932,344,498,510,159,282,908,037,827,543,305,568,038,539,
897,016,622,792,749,646,059,629,875,546,162,401,970,697,338,697,040,930,565,
502,615,235,003,596,958,208,913,138,138,776,686,340,403,871,477,911,818,730,
098,322,921,247,671,722,614,131,468,775,389,328,199,418,483,629,755,886,036,
807,767,326,959,029,531,877,142,288,896,683,393,160,271,080,928,033,067,824,
703,609,677,445,366,468,938,481,047,331,421,400,513,091,879,412,905,373,694,
581,469,032,599,794,952,423,842,099,792,715,339,932,252,706,849,245,567,159,
895,660,525,332,146,647,012,274,674,568,324,702,712,409,285,339,727,330,993,
458,121,479,610,100,979,296,512,126,040,118,126,660,174,563,957,149,914,689,
728,189,129,027,682,824,247,562,109,635,290,382,148,417,358,316,620,412,644,
334,488,766,803,818,595,117,468,499,106,530,715,180,582,612,648,225,297,905,
551,802,393,948,618,979,951,777,538,705,507,051,470,961,253,623,050,540,672,
623,497,497,750,493,860,924,973,263,111,746,041,078,911,239,770,981,581,926,
926,427,264,521,457,032,150,301,602,286,898,561,942,189,281,822,659,763,865,
066,125,193,867,679,897,562,141,263,217,986,876,950,516,743,160,302,460,844,
713,424,509,733,535,991,542,388,880,530,011,252,044,657,695,980,820,539,795,
969,771,402,241,976,889,742,217,112,270,008,180,655,086,099,999,486,902,580,
790,115,357,468,973,970,508,770,883,071,285,323,185,182,194,035,906,921,854,
524,375,325,844,508,766,859,666,312,478,175,247,964,085,457,209,253,640,376,
775,854,475,164,234,099,976,749,403,760,226,025,346,791,567,378,433,251,715,
059,052,721,613,664,854,473,439,498,274,026,750,215,783,544,476,527,349,891,
882,169,946,666,907,360,885,638,841,809,091,793,672,381,333,161,481,094,681,
647,902,041,779,655,223,563,071,239,105,422,608,726,054,626,166,827,572,955,
023,544,958,091,340,610,048,439,283,579,656,569,235,515,233,074,901,186,142,
207,389,877,258,868,453,637,021,063,407,687,501,763,185,070,440,579,680,304,
098,573,751,489,734,100,403,344,718,519,961,534,575,393,621,839,159,985,821,
800,223,912,221,331,190,571,330,044,835,929,819,683,162,612,218,179,324,751,
383,635,753,637,373,288,950,653,500,908,397,328,608,864,915,996,640,318,901,
596,667,577,489,689,920,655,259,579,334,448,959,127,007,097,430,168,627,593,
280,134,034,012,293,512,248,923,420,482,557,745,725,425,782,284,593,684,373,
327,615,172,662,842,767,581,007,478,701,733,759,065,378,047,592,922,514,373,
535,504,139,866,461,485,315,043,019,299,001,034,994,354,765,213,925,677,516,
755,499,778,198,574,416,783,870,401,621,415,620,882,330,348,106,395,433,812,
688,896,848,045,277,706,941,840,059,352,085,652,962,370,618,351,329,875,539,
394,142,049,418,953,273,288,998,455,077,324,474,610,333,886,585,674,926,831,
917,285,300,643,070,831,159,422,194,713,182,021,871,266,541,619,293,507,231,
544,676,640,767,540,292,052,159,981,664,966,755,104,521,693,648,834,457,313,
714,753,203,869,560,928,707,429,684,568,036,349,859,031,940,655,960,900,229,
847,650,307,909,121,094,664,793,611,338,541,702,041,895,679,875,715,872,239,
059,408,174,276,384,145,932,882,372,947,617,378,873,968,466,174,448,883,131,
537,444,228,118,925,845,113,771,977,614,610,291,773,988,511,647,915,467,660,
481,343,039,307,425,488,504,502,978,535,261,321,842,537,842,163,947,272,845,
275,330,774,214,872,174,032,700,150,665,169,467,644,062,736,587,923,285,532,
348,425,981,186,214,179,774,326,860,698,743,293,713,945,689,539,651,672,449,
454,885,598,395,015,308,789,035,139,128,937,573,165,431,801,711,429,614,635,
277,542,727,467,912,022,226,382,969,622,599,561,942,887,712,703,389,078,563,
220,514,425,603,921,842,903,815,967,702,250,378,502,444,525,610,789,764,786,
451,537,783,945,454,308,367,537,534,325,969,313,773,399,535,065,598,608,512,
431,021,539,936,524,228,791,515,935,840,089,399,532,814,336,650,996,321,859,
751,984,594,898,887,644,981,029,230,788,061,456,986,150,228,750,755,540,176,
283,186,490,079,918,314,946,577,080,786,207,962,147,345,395,362,086,657,178,
412,137,562,571,586,409,770,518,166,367,653,730,907,382,419,309,049,167,551,
964,050,734,044,957,164,380,168,847,084,681,070,411,425,647,467,228,663,147,
364,686,903,048,254,702,498,585,858,432,081,985,618,979,484,951,373,017,803,
911,077,964,967,846,530,952,283,252,820,166,219,701,843,581,372,061,376,885,
379,414,826,973,577,767,353,257,821,555,098,836,856,188,470,528,500,945,366,
581,207,891,472,935,479,154,338,628,237,410,639,864,318,721,945,874,648,731,
925,432,678,720,078,778,007,074,508,563,427,151,706,706,033,049,311,569,231,
725,290,549,928,501,205,724,879,735,953,212,763,001,822,177,393,428,043,945,
425,991,304,792,646,868,605,479,630,102,372,525,963,425,143,495,508,003,265,
444,474,485,619,472,756,567,032,243,383,900,863,875,378,137,087,609,239,769,
764,719,833,078,403,784,805,344,856,918,784,220,618,291,243,255,942,420,398,
477,464,375,503,447,745,287,335,525,167,065,062,566,992,981,982,313,621,026,
201,008,974,886,838,354,993,972,053,335,652,879,019,164,733,458,307,492,198,
306,169,931,875,786,714,114,107,313,585,798,599,966,044,214,891,661,169,683,
354,119,815,212,452,785,790,338,508,693,115,103,430,807,739,827,492,348,461,
414,135,405,683,201,013,508,587,893,979,591,887,326,690,200,890,832,667,540,
380,210,402,114,200,204,119,740,258,731,007,424,303,623,113,645,131,201,781,
318,519,780,976,167,013,157,357,449,653,396,886,687,422,050,919,067,230,507,
170,355,341,659,586,450,751,387,381,661,037,094,184,212,207,312,228,278,725,
848,195,931,073,560,877,096,739,183,869,900,841,011,405,237,931,038,741,076,
248,614,015,548,441,042,928,857,983,584,267,545,311,311,942,090,022,898,146,
164,264,037,726,614,483,302,342,693,358,400,763,716,862,569,097,808,073,454,
245,772,574,260,868,334,619,669,342,547,626,426,578,697,190,832,095,147,363,
056,864,296,624,577,399,328,696,886,423,288,643,865,891,498,516,174,828,461,
504,246,162,087,622,392,231,138,173,537,341,599,349,359,936,633,151,676,809,
009,382,294,245,837,449,149,550,219,781,621,305,698,886,671,425,239,800,712,
683,955,996,390,814,193,660,160,958,544,913,368,949,158,383,054,447,508,656,
466,536,178,644,300,618,970,253,181,287,306,047,652,037,687,734,948,996,950,
757,526,005,374,501,986,012,209,592,268,268,035,275,403,007,559,088,750,359,
133,578,678,317,780,011,936,729,315,707,048,642,329,664,457,420,405,219,654,
751,530,695,774,409,011,521,315,085,765,783,802,829,305,263,259,758,831,594,
417,550,131,329,725,102,337,419,011,243,689,020,341,075,465,308,473,764,992,
962,917,605,835,936,324,692,706,133,111,942,473,396,830,328,152,366,290,891,
093,996,921,142,209,192,779,365,930,241,798,154,688,122,899,844,504,214,819,
904,221,568,264,564,148,427,360,428,914,660,108,088,397,595,185,332,645,446,
076,600,368,875,170,622,582,630,099,770,578,376,278,468,246,547,958,645,219,
822,517,829,242,031,187,940,805,286,148,696,317,021,890,718,263,659,943,481,
123,655,143,500,576,239,545,019,779,947,997,744,271,560,957,601,126,826,256,
930,120,158,875,606,146,326,442,702,381,094,010,899,193,106,046,118,266,033,
847,678,608,974,273,325,523,590,651,648,335,595,082,585,206,039,472,664,915,
741,318,698,714,327,404,110,960,659,194,493,295,475,978,385,274,797,241,869,
295,376,188,904,074,953,018,771,874,850,449,701,798,983,999,477,095,825,368,
843,471,496,967,912,254,905,720,818,608,829,797,599,796,962,221,405,492,370,
607,812,695,923,955,137,640,082,889,655,866,076,096,998,551,246,507,598,343,
499,632,134,563,138,495,640,997,748,120,349,890,451,350,751,779,326,750,741,
495,697,739,798,337,552,623,814,029,892,310,213,846,587,816,443,345,081,244,
538,384,199,693,715,632,023,355,505,894,309,370,694,913,556,667,228,927,196,
154,825,395,800,498,380,738,971,121,478,072,429,224,630,222,226,050,972,360,
374,067,093,499,273,964,340,358,926,869,653,643,070,068,569,817,420,362,394,
938,574,928,889,436,063,776,138,522,027,069,008,014,007,820,210,627,794,778,
146,288,408,468,236,903,912,229,025,032,168,377,921,452,271,762,985,415,502,
905,142,398,747,382,638,447,968,624,991,013,530,764,083,284,325,788,577,003,
557,663,664,378,888,255,646,368,568,802,143,299,726,086,909,773,706,573,636,
883,270,540,302,924,644,229,847,360,699,188,737,351,689,999,893,617,127,962,
191,066,781,393,090,058,104,958,224,107,734,628,442,046,508,561,253,042,053,
009,660,597,320,139,712,288,420,193,067,159,622,839,176,472,289,463,412,336,
319,956,969,844,468,561,073,000,887,811,039,541,255,735,533,692,803,245,156,
270,241,215,559,837,728,919,431,247,298,203,960,339,684,064,707,214,628,856,
517,050,439,204,901,367,230,374,705,073,623,481,641,122,750,574,785,493,819,
027,324,080,606,493,478,942,883,158,546,249,967,784,090,944,543,245,088,878,
419,795,083,718,430,626,486,420,837,578,883,193,174,313,969,196,576,536,537,
976,491,718,962,239,826,078,149,724,351,433,313,029,382,858,179,761,248,666,
137,192,331,907,456,359,709,812,324,315,017,852,358,055,525,099,576,446,009,
530,408,444,267,699,005,764,797,137,849,747,526,273,314,182,145,969,557,356,
078,166,255,635,225,497,868,386,313,557,965,268,146,620,678,929,832,416,007,
566,683,874,404,983,110,103,388,050,768,150,197,643,586,450,623,177,744,594,
475,619,126,597,618,933,592,222,717,534,901,569,609,888,523,757,912,767,259,
990,661,127,670,463,459,723,425,148,570,921,063,309,476,659,361,029,519,729,
556,500,092,896,582,085,166,271,510,502,122,830,969,579,307,405,221,005,364,
892,986,518,400,366,515,507,799,915,554,908,909,117,189,327,312,706,047,916,
918,868,990,737,986,795,204,721,745,821,466,414,071,663,216,264,500,476,842,
978,990,001,516,478,155,270,511,000,977,653,912,603,885,354,985,898,257,392,
137,437,367,707,930,349,988,774,867,616,987,373,959,524,667,457,920,621,884,
305,176,807,888,093,182,924,038,083,606,185,894,791,647,179,730,613,473,133,
083,766,002,271,653,434,888,129,239,695,323,104,482,040,371,597,683,543,038,
970,498,330,557,989,584,231,261,771,781,358,609,413,678,879,016,005,160,461,
730,332,101,887,067,492,024,326,008,624,645,706,531,895,284,597,591,324,779,
690,591,106,208,889,722,859,631,699,461,798,051,335,904,791,343,099,800,143,
930,100,685,663,668,831,060,901,303,905,468,392,586,076,115,835,287,468,949,
941,541,556,883,974,542,083,591,655,495,636,475,986,483,959,399,137,964,966,
116,686,069,490,888,090,578,852,776,825,459,763,433,199,993,136,015,385,639,
753,870,631,163,827,547,286,538,378,404,525,713,046,263,313,201,597,443,013,
304,104,231,270,906,175,716,444,356,559,513,796,511,058,111,017,031,684,167,
944,882,602,179,966,087,856,946,706,038,815,929,909,408,878,998,961,238,778,
121,717,047,878,416,512,414,743,754,124,731,934,121,183,375,964,621,357,100,
622,733,812,291,624,821,800,025,501,096,063,128,358,691,252,171,880,832,991,
652,904,762,898,737,232,344,204,667,239,582,441,417,107,373,579,102,334,786,
195,994,537,847,140,100,072,843,592,676,324,888,268,161,746,374,069,902,666,
235,321,235,563,801,020,822,203,857,705,546,659,969,748,049,787,445,203,948,
587,212,834,451,193,574,374,529,221,456,943,937,302,233,252,599,307,417,337,
333,547,065,639,536,396,166,385,025,764,190,699,547,397,178,322,575,107,217,
204,626,114,931,463,020,860,797,156,106,344,883,817,212,967,681,316,184,632,
684,754,568,086,127,340,789,779,445,019,003,719,731,589,527,429,831,195,759,
560,999,043,625,756,185,981,256,385,392,989,983,461,095,994,611,143,644,815,
975,354,786,671,684,120,620,142,805,400,564,138,147,059,834,947,702,318,171,
754,333,205,104,431,986,654,238,523,806,987,263,747,223,460,116,714,493,375,
281,171,728,546,741,265,860,968,338,609,382,973,298,144,133,656,991,712,164,
802,111,700,635,971,391,046,405,868,339,469,724,608,190,863,472,379,709,918,
072,671,728,903,384,303,652,070,442,709,487,822,580,641,730,315,885,181,299,
796,829,804,000,510,344,156,743,390,423,733,534,876,673,355,066,448,545,090,
668,092,243,286,493,289,847,612,368,343,828,419,662,738,713,815,487,578,142,
858,166,257,855,275,234,214,174,899,663,175,558,052,888,293,294,535,422,189,
658,438,199,903,550,127,704,516,627,040,731,828,245,681,543,577,279,145,095,
731,842,970,532,264,394,701,523,672,108,883,665,805,740,894,823,267,712,876,
615,455,751,929,660,715,579,913,611,787,619,404,548,296,985,258,231,212,589,
505,622,601,744,655,187,699,120,687,652,819,979,429,220,807,451,259,642,450,
150,530,913,747,635,909,001,919,082,817,619,411,639,919,539,369,496,807,115,
280,154,311,848,117,680,145,623,198,828,797,008,011,850,403,152,499,308,798,
823,987,068,144,413,864,208,536,791,602,433,356,593,864,953,241,361,516,588,
092,820,500,771,895,683,695,781,277,085,229,346,875,029,833,406,994,106,159,
308,480,486,305,018,602,055,532,517,075,148,369,285,380,632,758,663,498,300,
341,505,517,880,592,663,743,863,539,305,612,332,104,858,061,093,839,855,058,
921,618,533,461,693,847,538,037,671,188,573,989,817,292,488,852,799,990,074,
044,633,577,739,304,346,121,478,085,736,031,594,496,709,696,037,755,956,187,
511,378,979,298,538,812,177,684,697,309,136,738,869,566,292,704,851,659,887,
726,405,871,005,490,259,243,083,801,722,700,023,863,367,529,998,785,449,374,
669,625,238,652,611,929,988,275,475,677,538,885,220,534,461,838,151,851,447,
009,885,519,357,405,932,663,639,398,346,132,705,629,509,901,649,595,507,452,
000,390,495,240,793,314,267,658,434,092,178,959,746,924,056,972,555,271,558,
700,068,422,367,773,948,134,452,470,699,721,168,812,680,083,068,559,532,156,
390,887,351,921,070,199,716,470,155,342,858,400,829,700,071,153,854,459,242,
091,856,232,785,659,726,296,381,327,226,019,199,710,569,560,342,600,729,297,
296,919,365,580,989,484,583,277,795,780,941,581,195,453,611,268,545,811,822,
972,982,865,581,593,809,095,688,503,227,510,699,486,193,501,380,059,729,510,
406,678,676,433,460,419,145,772,555,820,675,579,846,444,059,585,764,305,531,
090,165,191,098,734,229,362,459,862,251,653,787,018,201,907,522,330,515,501,
911,813,532,263,650,854,585,476,456,945,865,773,754,709,961,112,736,295,557,
273,232,058,157,154,120,498,729,528,290,828,556,413,340,745,701,106,534,833,
076,567,073,052,177,379,815,769,578,350,421,000,730,080,895,876,240,541,887,
724,735,095,946,187,997,482,543,346,317,217,401,945,374,390,073,664,581,583,
095,964,864,869,865,753,585,812,485,200,017,683,482,528,379,708,093,406,430,
573,095,081,203,456,188,419,624,928,922,359,986,991,302,231,867,697,245,516,
084,866,394,240,945,490,683,970,338,131,893,746,029,558,142,570,001,587,968,
798,162,885,177,395,756,966,413,264,537,227,791,892,962,175,999,287,817,113,
504,287,526,699,396,880,024,938,070,392,153,767,279,629,312,616,708,919,218,
166,761,661,598,695,391,515,815,357,714,708,717,202,200,172,080,857,322,005,
262,786,266,090,719,217,091,259,364,567,948,556,053,317,200,941,559,008,185,
422,686,295,730,835,847,717,832,402,806,603,466,724,462,074,298,538,552,680,
551,216,781,781,865,697,101,042,476,943,108,707,132,018,118,335,778,944,981,
047,991,627,989,240,977,176,007,929,434,828,088,018,434,579,161,368,289,276,
854,162,978,221,047,950,526,878,152,254,054,411,193,648,869,210,380,289,012,
636,099,937,076,547,903,696,452,983,120,397,876,904,765,768,942,305,244,025,
013,117,896,642,827,145,400,266,720,496,354,301,478,822,791,899,505,323,795,
053,283,098,012,788,273,139,488,789,364,534,431,873,094,348,443,613,202,328,
872,177,697,165,471,718,021,089,078,416,743,480,846,660,050,250,555,572,053,
773,795,814,473,798,495,584,197,615,398,208,783,216,347,180,378,109,588,637,
256,829,065,794,694,841,521,478,512,274,084,927,621,004,961,463,121,705,695,
090,548,856,415,919,574,419,118,401,225,481,893,690,082,372,546,861,130,804,
357,113,686,381,323,430,633,019,676,544,199,009,910,540,939,528,737,382,823,
288,727,201,372,197,608,397,127,223,421,933,175,043,506,867,763,297,385,102,
166,861,415,324,626,182,921,484,524,794,817,811,586,562,890,826,682,905,373,
958,238,115,522,360,748,148,708,969,417,094,363,995,383,752,357,785,374,639,
204,531,783,515,443,981,953,847,969,885,564,429,645,965,607,568,425,632,459,
461,513,055,520,501,643,325,931,859,054,321,950,869,840,314,455,422,828,066,
240,922,089,009,505,730,312,603,401,020,002,597,008,520,464,395,626,738,440,
679,029,925,411,279,769,292,909,250,044,812,114,303,943,916,799,384,157,748,
768,108,259,396,189,507,139,054,171,213,150,473,632,298,466,350,226,913,151,
015,206,281,023,912,417,027,580,800,176,230,677,425,911,923,287,062,943,361,
466,725,540,910,274,282,579,910,297,936,527,008,398,126,292,786,967,430,333,
623,038,801,957,912,671,547,589,994,584,705,565,479,932,548,815,551,296,467,
762,290,096,789,750,861,084,450,403,653,002,394,527,440,480,030,218,481,178,
061,118,999,637,576,991,128,299,213,565,836,075,333,134,863,028,453,718,845,
200,992,502,125,704,797,271,155,197,219,773,481,195,599,633,510,354,245,540,
078,130,047,897,647,996,530,909,283,167,571,673,226,389,687,736,377,426,830,
101,842,559,409,273,997,506,476,845,282,040,756,734,704,473,258,725,886,988,
727,255,959,877,681,729,501,208,530,820,585,746,397,525,466,339,770,456,913,
023,684,006,546,471,150,495,205,880,162,449,296,304,306,699,201,569,889,495,
191,180,926,821,387,957,273,823,089,248,506,774,470,955,105,566,745,834,696,
130,818,259,821,969,531,570,997,611,507,112,097,521,281,485,770,810,681,209,
201,694,117,986,502,006,728,287,910,879,299,843,687,928,185,200,520,686,089,
291,143,778,658,337,936,686,049,076,287,272,876,352,055,915,328,946,422,993,
918,458,644,884,510,043,524,930,003,429,483,337,009,505,989,294,915,062,497,
062,277,101,719,393,217,056,930,896,992,289,253,330,432,951,938,429,886,826,
771,785,915,099,093,588,605,772,619,147,858,217,785,766,727,531,761,736,601,
481,106,626,975,799,712,207,732,342,530,112,606,587,065,367,505,809,169,014,
612,798,287,228,650,824,421,201,890,869,536,270,484,462,791,463,666,093,256,
015,294,910,052,252,541,324,112,018,345,332,274,564,246,049,439,724,911,483,
549,983,627,014,064,743,816,038,187,603,046,942,558,564,873,099,840,815,120,
752,749,611,896,124,650,615,239,281,420,544,487,398,430,903,838,120,130,380,
877,617,574,971,583,807,871,285,491,955,628,814,806,704,427,240,582,719,939,
312,560,042,811,586,656,121,617,290,695,701,276,749,385,996,422,344,510,527,
154,538,226,658,506,092,741,061,215,115,948,697,826,045,635,962,842,203,268,
519,588,004,227,236,539,165,932,623,391,064,916,107,242,245,745,426,466,964,
755,497,258,473,388,426,621,743,736,805,931,559,825,345,748,734,739,026,548,
886,991,304,904,249,455,305,187,039,445,202,785,646,555,302,580,006,048,072,
997,461,648,648,124,834,035,951,206,359,363,873,905,223,246,828,066,778,314,
515,160,528,829,509,622,335,830,658,661,500,691,331,907,764,920,772,797,254,
878,734,642,810,080,689,169,334,102,500,640,656,254,237,351,456,385,886,909,
394,817,148,914,681,522,796,452,069,141,922,545,797,131,113,415,760,809,125,
270,615,547,642,158,399,689,804,769,531,996,504,708,717,067,579,737,549,087,
846,841,899,189,485,424,421,149,667,121,716,861,718,735,046,743,783,915,329,
754,771,124,770,905,199,716,045,770,339,536,014,666,638,193,926,147,729,110,
369,897,799,307,804,828,325,266,490,632,723,211,163,654,953,306,746,885,346,
455,222,734,173,747,792,241,681,105,390,418,172,555,241,424,863,439,055,170,
209,791,156,294,586,735,622,515,209,616,653,469,834,818,339,715,171,671,089,
287,171,678,980,332,625,433,209,535,922,694,518,803,170,022,177,820,183,016,
378,881,972,295,350,180,614,966,893,408,037,286,474,954,484,448,039,513,964,
564,050,649,292,059,933,042,921,107,719,709,400,913,507,593,874,363,718,175,
359,685,223,673,661,837,352,722,526,217,826,754,510,404,997,848,534,669,637,
893,920,677,837,915,686,007,630,598,834,817,998,018,914,833,681,714,672,936,
972,053,811,435,096,458,549,975,963,218,760,852,998,654,146,850,378,501,112,
788,920,382,886,832,049,099,574,172,140,493,624,635,838,704,370,464,355,796,
295,346,086,118,952,553,044,831,266,714,299,388,652,309,021,041,999,606,471,
558,730,810,456,584,555,514,351,035,578,118,099,134,992,082,781,954,936,376,
064,769,564,774,565,764,523,417,072,062,120,722,041,302,967,668,315,232,758,
609,078,084,423,895,166,198,675,696,440,744,705,129,714,636,258,609,233,477,
909,492,112,623,017,641,976,725,899,713,773,936,982,711,513,102,552,792,099,
717,210,698,151,140,382,254,361,821,280,347,555,065,551,836,605,953,000,818,
203,451,110,992,259,461,776,225,008,920,857,399,238,464,229,519,947,274,528,
786,235,877,823,481,659,812,538,541,480,918,342,338,053,585,419,609,729,984,
527,707,084,200,615,372,802,041,321,115,105,819,764,472,112,623,073,854,559,
595,839,970,137,830,387,852,333,607,515,207,423,473,454,403,379,317,387,100,
031,674,490,558,237,778,925,477,845,448,406,631,290,791,254,287,548,862,332,
354,622,828,717,035,722,685,931,440,130,183,828,003,945,562,657,193,022,898,
503,293,857,570,386,198,510,063,753,648,675,976,152,656,770,341,557,732,750,
038,017,542,488,182,940,513,311,609,592,433,754,843,397,206,486,416,307,087,
636,870,993,182,649,491,375,176,577,978,038,418,427,599,322,694,130,071,819,
173,136,970,343,776,591,605,227,092,441,756,406,393,580,305,384,772,983,642,
285,447,948,120,102,762,432,856,457,656,756,222,716,012,456,333,251,751,407,
212,457,242,371,267,267,648,269,836,303,360,522,417,212,005,129,992,130,390,
141,231,644,282,882,267,415,508,777,347,594,152,313,425,315,017,370,907,355,
277,700,885,689,617,295,475,120,805,341,982,884,455,926,448,267,291,737,281,
054,599,235,656,729,773,284,830,495,557,059,501,939,092,398,963,248,358,688,
221,871,399,535,459,500,463,993,007,288,688,891,466,202,283,820,869,084,563,
846,145,712,236,390,250,381,139,461,121,773,104,744,261,971,837,253,311,060,
796,875,104,715,022,637,973,792,308,904,552,388,845,401,874,728,108,244,084,
857,827,699,388,580,276,520,058,899,656,672,489,628,646,677,882,102,996,453,
261,054,149,085,698,873,370,896,417,407,196,273,766,995,314,010,636,793,835,
674,550,877,003,901,925,747,227,838,885,716,489,984,337,060,551,867,154,005,
731,551,356,749,248,497,235,149,401,040,881,469,356,330,773,762,621,346,666,
600,639,824,326,323,120,703,149,165,169,885,535,268,859,242,975,852,133,638,
438,669,939,731,641,030,142,166,054,412,286,876,873,609,516,609,214,542,222,
001,853,535,280,610,685,910,497,705,666,125,333,397,071,207,600,627,826,223,
067,214,461,084,075,640,058,552,982,350,927,678,146,228,533,078,532,139,977,
357,798,118,668,689,140,942,483,473,002,645,380,002,179,628,952,258,608,085,
998,876,424,108,088,627,201,366,850,923,686,020,210,880,788,439,301,049,019,
033,275,995,404,002,029,878,666,452,975,126,396,205,575,623,214,629,225,970,
660,261,277,540,783,484,268,718,900,386,198,968,919,892,006,208,488,936,035,
771,254,977,274,587,948,262,130,505,882,769,288,858,704,876,980,867,747,568,
076,338,900,661,462,794,916,566,497,969,914,250,841,912,866,121,834,506,390,
212,482,653,326,547,188,625,163,978,894,790,451,077,051,635,610,282,079,101,
175,477,437,458,884,263,787,743,984,361,951,480,747,532,114,484,191,730,317,
241,962,268,655,505,322,544,805,509,469,033,799,515,531,092,671,906,943,161,
117,785,860,377,337,113,981,798,607,414,927,602,555,703,740,837,604,310,981,
125,187,578,785,284,983,295,383,890,076,828,954,503,167,793,249,860,681,634,
741,031,125,573,882,394,938,984,522,297,450,886,533,708,903,593,600,436,225,
110,317,996,543,946,078,066,837,690,210,481,437,756,407,666,254,321,168,895,
784,457,821,481,168,374,362,703,562,458,958,550,012,026,910,565,157,468,117,
358,408,398,212,740,016,635,998,561,805,877,629,628,742,691,769,794,674,993,
544,789,838,914,846,426,271,025,833,518,995,959,682,128,552,779,557,538,161,
864,724,137,665,410,686,832,760,122,513,705,048,430,291,925,252,961,202,225,
123,400,561,794,040,671,256,585,985,726,115,161,518,881,002,819,652,379,546,
812,794,081,148,596,771,050,460,934,338,316,347,288,478,339,051,322,708,328,
462,022,317,664,281,737,447,679,698,370,505,724,534,762,284,026,342,892,005,
689,711,516,763,343,307,525,013,663,108,456,569,128,057,775,411,589,010,530,
809,262,786,297,654,758,655,223,087,042,375,284,789,612,051,524,809,368,574,
395,838,051,974,745,847,265,031,633,408,351,539,209,927,650,222,678,975,802,
822,530,934,846,118,427,231,342,948,850,959,016,788,610,439,062,938,695,802,
845,481,042,198,572,718,293,332,332,958,012,675,220,812,093,984,089,417,754,
709,526,736,861,184,359,197,034,320,189,911,193,130,012,167,487,452,930,977,
273,123,493,942,286,200,926,954,703,763,630,060,433,101,264,926,775,245,085,
753,974,368,484,586,350,407,368,883,926,354,282,709,221,036,919,683,222,866,
590,153,276,586,142,722,346,758,369,042,613,449,786,118,915,756,214,576,596,
831,642,157,642,644,260,505,042,469,816,041,770,529,493,125,214,091,011,567,
481,956,504,763,642,297,695,879,642,974,708,735,744,754,439,762,012,544,208,
360,618,361,944,262,649,484,636,294,549,176,767,395,201,083,290,228,030,326,
864,616,426,555,465,234,305,678,293,146,471,904,915,135,762,915,729,136,607,
665,588,782,838,457,486,744,618,474,458,851,951,102,133,114,345,891,829,541,
570,074,380,744,645,706,323,779,090,458,707,880,992,775,043,878,959,433,585,
133,050,967,323,555,200,609,258,081,957,291,660,696,091,810,017,177,955,037,
651,556,548,714,568,867,001,154,090,050,960,824,493,515,676,996,285,229,315,
760,386,931,771,946,775,261,998,997,214,791,016,002,330,273,767,268,304,733,
226,981,625,426,583,907,690,402,226,100,706,557,182,040,657,628,719,822,410,
346,173,224,436,678,994,094,744,877,652,134,692,840,560,745,546,295,253,478,
842,422,080,300,924,921,484,784,758,924,827,955,823,753,128,822,915,197,775,
053,825,611,139,757,842,693,936,010,481,152,335,585,583,855,153,495,984,921,
263,016,742,074,134,408,419,772,279,985,475,543,491,371,163,726,062,134,118,
100,973,349,056,577,228,284,229,197,101,691,169,547,272,249,189,315,353,163,
231,713,818,913,634,469,874,179,496,690,096,847,569,797,595,561,964,193,947,
252,281,756,959,093,956,301,780,182,164,184,568,039,449,274,908,731,014,764,
626,822,731,774,161,056,604,282,228,270,227,199,612,694,439,278,393,470,277,
315,291,140,523,221,165,654,288,971,695,944,878,433,045,558,651,200,654,438,
494,175,543,261,698,409,778,514,606,898,864,998,102,507,112,448,433,500,960,
222,644,598,017,777,198,393,312,178,923,591,260,306,159,338,684,664,176,198,
836,095,262,005,813,405,355,561,841,981,270,687,589,986,719,178,189,226,043,
866,601,042,327,427,746,037,965,774,699,404,034,267,976,315,623,349,935,983,
586,644,852,689,843,614,294,218,387,447,080,067,880,732,326,442,454,366,414,
138,393,957,541,198,878,203,688,415,299,511,486,134,275,516,194,538,613,689,
814,124,273,669,471,018,632,631,759,534,104,348,461,000,693,839,906,517,289,
642,060,166,491,265,027,952,074,604,189,820,483,704,832,608,964,866,194,083,
767,276,801,440,661,835,645,319,630,921,552,155,825,066,977,404,443,410,123,
409,913,124,159,510,795,745,089,516,018,308,178,250,598,405,835,181,996,868,
501,053,099,328,188,685,122,819,852,046,982,042,222,121,552,288,645,233,151,
800,097,229,885,787,699,603,408,235,269,395,814,630,605,381,777,605,424,530,
280,991,459,320,004,504,865,762,422,652,501,768,540,764,558,582,853,879,201,
537,392,903,622,416,002,041,513,368,314,157,713,038,092,387,427,686,981,718,
220,221,272,733,158,824,630,296,749,462,939,351,247,724,753,286,723,880,511,
671,672,488,889,503,855,150,176,162,390,217,187,706,395,088,181,376,742,751,
555,809,360,084,571,390,841,900,939,198,258,299,709,550,202,205,707,402,789,
024,611,365,896,811,241,815,626,719,572,588,565,542,743,937,211,415,211,629,
160,863,657,779,921,753,796,827,892,710,734,473,092,557,880,829,001,463,255,
014,068,159,416,719,935,901,862,436,792,546,296,785,038,563,281,169,841,956,
831,666,989,128,099,950,690,431,442,626,363,511,142,486,695,321,300,368,537,
939,116,599,632,769,489,941,780,985,977,128,741,160,042,679,213,809,177,766,
953,634,797,951,591,633,273,374,618,512,718,376,839,198,768,567,997,914,464,
453,934,634,001,333,077,982,537,801,947,276,864,941,358,074,151,093,091,028,
976,319,514,389,846,072,470,999,629,291,809,751,049,366,565,846,797,858,000,
610,744,239,874,209,243,529,196,577,900,210,204,709,747,774,080,379,457,427,
167,573,401,143,110,217,881,449,717,357,416,854,259,204,315,215,015,040,827,
228,939,822,512,907,367,131,858,706,741,750,707,018,910,718,328,589,315,480,
380,112,610,522,549,469,742,189,142,887,399,258,517,804,662,267,351,938,161,
063,287,239,348,452,393,409,425,396,763,400,751,357,901,528,112,430,591,285,
865,217,819,489,654,616,592,408,301,446,648,963,853,872,637,560,173,888,028,
335,457,886,213,659,202,475,192,031,633,507,141,335,551,071,480,011,213,895,
033,475,843,142,054,801,689,774,413,797,446,379,777,105,274,304,043,040,174,
111,527,905,416,005,442,556,611,926,333,054,879,908,287,324,689,562,070,542,
064,716,081,179,296,418,621,126,288,183,263,641,192,983,721,744,723,787,573,
082,014,148,800,867,253,818,566,180,311,836,574,541,104,561,235,194,730,145,
446,203,565,854,266,154,129,988,259,706,596,525,279,579,612,461,554,507,040,
731,296,359,146,001,379,468,856,899,616,444,750,543,448,102,699,113,902,328,
162,223,888,344,204,658,777,585,622,458,187,635,174,702,618,267,642,986,120,
768,943,047,417,045,701,092,108,951,281,004,985,676,593,468,898,632,643,869,
579,941,364,881,615,441,768,991,855,534,030,487,622,914,739,924,001,117,681,
999,459,602,171,757,328,736,731,802,945,492,426,739,882,694,769,628,561,138,
286,158,651,246,660,624,385,515,955,291,411,423,681,483,072,038,562,225,967,
049,136,219,842,610,220,326,318,257,174,950,288,537,256,301,583,779,027,853,
866,334,654,454,163,242,442,565,198,171,388,116,116,017,392,192,291,335,772,
291,333,675,664,102,452,079,691,907,626,756,703,711,353,884,421,360,878,533,
076,142,848,389,896,769,253,207,282,159,238,982,348,499,686,119,726,106,689,
845,911,141,662,189,076,435,766,215,194,290,644,625,769,379,231,410,725,336,
264,386,502,840,382,501,432,351,148,371,184,312,572,156,469,682,632,626,212,
626,487,694,647,571,757,910,083,817,722,195,355,431,846,585,680,142,741,240,
142,579,021,806,358,444,588,012,240,187,592,392,064,729,278,220,060,839,173,
897,151,015,375,254,812,719,302,037,738,874,422,164,379,320,996,568,232,786,
237,850,156,693,617,941,149,305,556,178,315,215,080,133,235,398,097,011,772,
167,508,824,190,455,761,668,852,399,806,165,017,437,240,333,926,311,276,859,
994,486,168,304,561,411,770,656,267,031,543,003,235,571,417,601,194,089,205,
176,687,937,803,589,421,792,808,038,715,973,656,263,363,835,851,257,209,119,
979,152,287,705,507,981,623,716,459,224,659,005,369,851,836,299,719,282,690,
666,440,659,911,011,833,406,727,781,384,949,666,455,317,101,799,249,953,096,
968,467,251,173,770,538,235,867,654,984,475,996,730,526,380,881,891,317,680,
147,004,240,665,261,026,823,523,501,459,816,365,293,782,303,964,428,555,173,
756,238,803,214,786,456,695,796,871,563,901,981,457,298,637,548,086,358,200,
236,291,926,829,471,537,120,894,401,440,659,356,635,218,790,691,467,507,281,
796,795,445,139,739,713,747,445,063,772,984,224,465,198,476,118,818,340,035,
797,302,038,545,460,511,797,340,636,370,774,599,192,006,996,518,936,959,575,
835,328,039,822,223,458,838,982,208,097,728,790,544,357,582,390,958,093,461,
138,821,186,760,289,480,271,131,256,708,223,289,917,252,972,544,413,949,962,
471,737,445,656,837,510,714,450,246,394,650,206,982,194,973,359,182,432,281,
026,860,012,420,915,698,543,413,466,109,289,939,781,092,157,702,418,612,257,
262,165,126,348,412,195,404,919,074,831,770,478,528,774,340,230,846,412,211,
584,558,502,283,164,620,643,929,395,013,241,899,852,731,428,307,011,742,447,
176,510,175,716,870,870,296,597,425,878,974,011,401,130,322,149,362,921,123,
415,044,465,198,259,648,586,467,189,545,462,707,104,655,117,200,605,479,708,
168,190,467,050,784,337,408,038,503,874,316,637,874,922,692,169,715,589,793,
801,840,727,890,147,488,502,002,594,376,058,260,082,753,058,518,016,527,437,
303,622,796,750,048,392,672,561,041,618,974,813,928,467,200,177,530,188,492,
515,227,459,657,687,963,181,589,429,805,863,697,981,763,266,066,812,931,229,
068,351,982,919,764,802,305,965,436,349,469,440,558,655,453,470,657,904,856,
774,735,467,028,552,841,766,177,444,136,699,045,528,435,933,999,753,723,662,
555,941,633,249,901,386,451,794,510,024,790,989,401,238,863,045,388,351,574,
656,848,512,327,475,079,143,193,530,485,153,976,134,421,273,016,642,076,589,
952,672,713,314,329,520,950,939,707,803,949,546,309,628,688,984,958,745,390,
217,217,096,290,108,124,801,186,254,684,276,101,302,304,105,879,735,712,956,
094,602,827,931,391,848,720,237,629,531,152,055,569,092,021,927,406,011,342,
390,461,115,450,640,637,639,626,816,116,362,483,088,266,995,349,754,806,923,
772,032,586,262,189,403,472,447,839,760,831,173,950,515,868,789,033,421,675,
306,406,032,194,361,431,424,959,125,179,746,787,011,735,922,794,786,611,704,
326,478,995,194,902,266,475,410,251,865,610,041,133,323,880,731,598,811,543,
445,714,151,492,830,955,425,783,754,761,578,003,143,388,805,931,911,260,970,
755,210,529,511,973,314,923,024,176,371,843,122,294,786,044,643,581,653,016,
802,120,412,146,995,132,582,681,834,706,175,073,885,249,708,349,349,343,579,
160,588,769,232,408,676,655,836,754,254,101,405,010,389,524,278,282,686,198,
326,105,460,815,478,000,876,794,220,293,384,924,448,793,274,121,675,530,481,
726,948,444,634,142,192,516,189,358,617,956,552,833,891,606,315,187,716,506,
438,093,099,167,709,562,356,367,789,143,049,679,629,011,927,734,606,920,686,
620,617,001,904,925,483,660,126,797,928,627,955,422,142,234,163,142,482,805,
867,633,066,742,431,890,471,053,749,047,373,767,743,086,716,873,030,518,639,
261,446,312,782,488,872,903,020,620,658,384,098,119,028,487,813,805,373,423,
748,073,995,481,426,230,702,262,066,265,843,994,804,741,121,247,515,520,737,
712,334,270,529,080,882,582,867,674,356,009,259,361,984,913,222,449,000,198,
355,509,873,188,766,934,041,451,678,097,008,966,297,735,007,585,365,453,617,
744,692,787,153,830,878,461,979,671,415,099,045,888,670,948,826,598,536,128,
635,692,394,577,894,831,504,618,850,274,829,801,609,523,106,996,062,736,172,
664,924,836,591,633,417,271,011,305,988,782,793,975,061,992,518,279,205,022,
513,065,529,908,516,429,570,324,311,268,075,833,057,322,601,711,430,114,628,
049,025,593,919,218,881,289,684,401,616,002,774,883,782,837,653,664,212,966,
750,455,360,676,339,859,506,133,483,052,019,256,621,242,016,900,570,230,848,
501,816,211,240,852,864,243,922,189,827,343,853,752,599,118,299,182,670,367,
033,284,397,446,157,189,372,031,034,767,156,427,812,595,710,218,510,061,260,
213,865,301,721,540,730,505,695,483,569,663,361,336,788,296,383,338,568,217,
897,048,346,440,201,205,627,560,119,880,853,417,141,193,926,198,214,008,200,
362,565,900,542,003,219,114,301,220,966,251,355,302,812,130,226,324,948,230,
050,555,082,127,373,063,219,341,391,890,312,946,313,702,761,200,550,484,413,
484,799,924,255,804,539,629,699,615,299,412,164,886,171,526,653,771,121,377,
474,504,645,560,020,529,615,180,815,313,578,333,951,311,993,707,085,551,999,
064,696,829,374,563,224,430,509,929,836,170,195,455,212,552,512,458,669,521,
534,699,811,980,460,770,554,804,067,142,965,038,816,857,193,800,091,776,027,
933,832,132,122,127,299,654,477,951,259,730,075,952,537,124,075,137,931,141,
112,884,461,781,686,827,736,978,561,845,556,238,511,752,101,749,428,830,088,
338,480,557,721,586,551,187,781,735,459,081,511,543,443,877,029,167,381,630,
489,726,703,044,082,301,833,771,189,276,583,388,965,020,549,620,545,379,150,
650,932,305,944,292,012,501,690,348,534,922,720,729,123,989,623,524,841,180,
581,634,284,675,763,478,680,857,722,330,821,528,970,470,293,871,031,134,854,
965,003,494,985,333,435,935,276,271,368,319,572,226,861,081,148,890,970,154,
833,387,930,278,456,512,360,573,306,443,100,461,743,614,517,135,659,496,163,
912,201,440,092,972,851,279,094,192,637,845,890,129,083,109,090,452,691,296,
578,018,920,435,028,697,947,411,909,111,227,408,259,728,387,431,429,533,387,
921,787,818,931,903,292,189,209,967,473,081,012,493,315,757,821,138,570,987,
704,879,009,540,903,434,615,607,963,192,552,070,065,906,862,257,028,928,549,
123,547,998,971,231,790,768,646,843,733,415,816,556,537,720,371,989,492,915,
406,573,025,737,795,372,688,506,417,075,585,414,282,930,885,474,053,789,437,
500,514,688,364,317,345,461,118,404,685,648,646,213,155,398,760,778,054,911,
591,603,017,415,230,725,621,732,429,150,263,788,638,890,929,075,750,292,498,
328,462,012,717,753,068,832,567,925,944,188,172,892,327,326,992,085,273,120,
455,449,289,578,105,866,309,993,007,258,249,406,404,100,743,853,122,730,593,
470,434,875,527,383,956,928,169,437,362,196,971,824,465,561,342,346,759,210,
163,546,590,922,894,532,393,454,387,052,136,376,965,883,706,592,101,566,738,
211,551,193,630,407,114,480,463,396,203,009,142,531,277,048,856,842,854,844,
971,463,427,108,104,443,796,219,811,986,105,420,860,844,876,523,252,528,958,
035,869,275,395,430,062,628,908,326,614,290,901,571,539,730,652,822,705,840,
597,761,659,225,168,677,653,546,338,094,547,687,962,395,983,068,708,446,533,
523,268,831,712,669,078,985,820,173,362,979,216,648,564,601,879,636,681,043,
265,827,269,692,252,401,382,281,220,134,314,071,665,394,746,271,058,424,506,
761,097,920,548,660,657,137,698,243,781,608,670,089,147,878,473,141,106,337,
952,098,585,952,582,680,041,938,361,289,788,682,312,789,351,332,287,012,888,
933,292,957,742,534,659,885,559,473,083,913,679,399,024,547,379,176,664,127,
185,549,443,507,381,837,978,393,574,099,826,665,114,188,138,786,243,948,402,
529,350,912,236,135,014,547,546,241,387,495,956,743,496,371,577,193,821,709,
799,295,166,302,879,011,347,611,479,669,905,359,802,257,766,964,662,689,916,
684,588,869,991,105,879,818,015,666,120,943,761,146,108,564,770,476,290,049,
918,327,944,878,361,511,990,965,664,135,825,912,934,601,301,568,568,881,749,
100,794,818,001,248,540,315,677,282,937,654,736,616,079,937,727,935,474,872,
405,786,281,635,226,017,391,604,011,562,104,152,466,272,132,926,705,677,004,
195,869,722,614,410,708,154,633,524,649,166,873,584,979,549,423,708,827,132,
548,399,448,745,045,004,534,248,796,416,014,918,356,015,625,872,696,259,031,
683,622,077,305,346,169,989,057,676,661,297,014,030,790,209,069,503,967,939,
609,745,722,353,619,840,378,973,485,212,526,864,900,246,038,495,665,095,645,
794,073,131,419,677,151,378,932,751,760,856,952,535,906,865,659,409,832,052,
010,199,289,271,246,463,180,936,004,790,565,331,694,477,763,008,990,301,797,
126,027,019,842,063,912,744,197,242,421,896,302,991,711,576,545,580,267,976,
685,249,450,334,953,948,767,545,190,213,090,996,697,359,421,503,791,631,494,
862,894,388,164,323,062,435,974,374,194,184,042,010,885,782,468,506,350,756,
318,083,876,801,970,549,099,319,011,405,474,226,362,306,286,324,977,566,145,
226,623,874,606,246,768,693,358,062,296,195,395,371,163,960,616,203,348,568,
554,795,112,750,049,770,275,296,396,402,851,683,993,509,345,886,654,103,892,
007,715,191,274,875,380,073,827,973,201,026,139,584,834,222,518,532,535,331,
537,846,058,014,614,637,015,932,043,664,014,941,596,694,395,781,768,132,210,
840,361,876,095,140,236,329,999,566,824,196,414,214,854,321,085,200,394,300,
485,391,661,439,956,805,098,612,394,273,953,652,103,733,889,816,795,234,802,
677,268,418,689,232,248,775,202,656,992,481,786,512,660,476,716,482,447,977,
962,687,346,778,873,462,302,332,559,984,964,916,655,126,979,371,442,098,320,
988,929,617,503,720,511,961,028,678,713,106,005,337,295,238,698,185,431,772,
732,122,210,185,353,564,922,201,382,117,759,581,035,763,274,650,519,125,147,
899,898,893,053,497,092,922,911,750,917,641,661,237,531,634,922,003,414,967,
065,888,482,927,386,442,007,041,605,771,712,537,449,863,257,671,322,203,741,
957,952,024,836,875,019,588,797,351,270,757,114,351,371,415,774,093,331,349,
662,617,070,444,766,937,999,879,857,684,683,507,483,219,573,033,755,824,302,
398,327,570,457,406,307,784,298,080,259,684,197,585,439,103,691,782,503,805,
312,622,178,600,223,568,544,002,595,102,311,206,692,439,412,182,310,837,467,
379,249,461,561,539,342,938,417,876,240,560,081,014,812,188,175,397,270,341,
105,007,171,256,476,898,071,268,790,312,116,245,806,627,453,205,614,291,172,
382,944,274,067,974,433,865,738,252,452,060,206,144,545,760,696,954,482,762,
295,045,276,923,702,919,259,540,482,255,315,069,262,879,442,699,601,368,745,
973,282,806,700,185,464,098,596,349,242,258,581,951,620,546,903,181,034,883,
910,078,279,813,996,860,414,627,484,376,339,312,558,677,238,853,179,972,738,
267,112,482,852,999,833,631,105,541,614,711,379,108,935,734,100,450,856,636,
470,581,561,571,862,026,574,709,376,573,570,645,744,005,859,989,042,389,803,
169,396,846,420,160,289,314,356,726,379,562,836,923,041,183,439,013,468,217,
259,906,355,513,166,933,512,615,084,555,325,406,704,901,863,042,552,487,361,
272,411,560,104,056,001,842,015,387,262,847,346,316,801,670,228,170,730,330,
840,824,439,385,126,415,009,899,835,480,466,182,363,317,769,629,683,277,948,
526,918,861,993,679,724,859,182,525,260,531,480,625,577,071,604,864,691,416,
153,641,807,965,705,333,550,085,680,382,185,717,369,661,206,203,698,315,841,
642,941,798,921,222,514,495,385,055,492,123,838,386,784,310,270,969,868,605,
554,942,760,462,057,412,201,930,853,216,642,010,003,578,441,814,507,887,973,
752,466,777,864,771,739,289,690,439,558,206,778,016,036,220,135,731,414,907,
799,825,432,634,376,286,018,686,778,905,207,632,668,265,486,149,880,883,763,
596,496,491,488,024,936,238,874,636,514,832,588,290,816,222,141,565,998,453,
182,177,450,799,457,279,545,875,837,879,041,167,750,251,810,821,855,441,100,
328,280,747,016,897,293,106,072,056,941,509,680,865,237,400,215,559,738,686,
262,865,196,138,773,116,248,384,086,583,559,690,536,119,431,063,496,527,295,
418,160,097,382,226,691,159,781,601,532,271,504,725,933,289,339,093,042,698,
104,050,806,406,225,122,892,481,621,241,871,793,198,709,379,691,039,692,911,
178,754,779,100,328,907,214,506,767,189,910,350,833,953,442,935,581,682,517,
896,133,687,164,464,121,640,875,893,376,815,175,915,532,905,053,320,040,250,
794,486,109,434,065,287,692,378,016,042,417,972,871,341,046,695,111,524,975,
183,928,427,148,244,053,557,164,938,541,262,488,770,371,915,963,955,169,747,
464,566,478,151,075,365,666,655,957,646,815,745,688,584,094,849,053,144,256,
651,079,858,626,021,620,396,928,435,294,950,747,108,994,313,817,171,628,511,
716,014,836,803,054,337,288,116,736,321,051,776,835,684,123,335,452,160,520,
825,949,844,846,001,738,159,090,955,294,995,449,515,874,754,042,288,673,636,
298,714,765,096,126,499,185,134,098,295,297,213,622,845,915,799,325,254,286,
126,379,566,355,661,301,197,472,651,319,905,237,191,037,356,140,584,398,891,
013,397,064,089,300,803,230,650,901,205,283,305,830,800,312,663,610,117,333,
164,244,464,082,000,377,934,475,851,288,292,127,888,953,802,155,984,680,694,
082,278,605,336,820,937,988,297,530,204,345,128,160,485,902,524,397,295,582,
305,773,109,849,163,580,879,442,843,446,655,526,136,258,632,231,969,942,435,
554,809,754,198,196,138,127,556,135,977,679,624,177,039,550,676,409,891,022,
745,886,803,655,846,031,104,713,576,431,547,371,525,173,109,934,959,940,492,
699,569,423,127,397,149,375,429,020,189,444,537,665,483,721,613,602,917,183,
342,629,169,143,099,023,207,132,561,292,481,209,456,681,134,974,403,336,185,
911,620,701,898,892,312,169,681,750,845,873,061,637,198,080,171,946,048,955,
999,322,228,410,289,085,662,841,933,839,180,264,374,765,229,096,749,347,750,
656,220,282,362,077,722,245,142,218,452,983,592,468,850,476,213,242,059,887,
291,199,136,095,668,787,134,154,337,464,052,075,428,043,085,691,874,845,798,
444,949,836,232,075,350,133,180,162,660,967,551,974,143,905,770,305,945,531,
580,774,311,298,161,511,717,248,433,712,218,615,099,334,211,993,798,334,890,
302,939,603,277,027,356,170,174,249,781,166,505,991,040,291,638,965,343,960,
737,475,754,998,838,259,679,917,201,406,465,122,891,141,688,864,397,915,126,
032,194,259,109,206,510,965,359,039,196,813,529,051,241,185,449,464,828,622,
907,721,494,499,267,886,242,026,693,154,427,210,620,710,924,746,209,049,851,
741,162,796,572,240,436,314,037,305,939,134,323,883,380,122,287,007,572,554,
228,868,514,209,717,889,184,784,778,377,073,183,671,328,257,439,812,813,670,
794,741,899,096,794,439,744,786,090,948,541,391,376,158,869,144,319,180,686,
295,410,092,626,543,292,561,249,166,794,283,530,001,542,691,278,588,832,173,
814,834,443,295,590,386,135,603,011,338,051,463,978,307,664,012,378,999,282,
588,120,321,815,853,965,807,185,382,179,155,963,528,231,981,074,016,749,431,
737,110,632,132,038,395,427,325,687,931,680,590,616,041,091,527,560,672,807,
354,928,349,016,843,152,478,270,634,759,531,147,474,448,988,562,963,797,530,
004,781,826,833,057,965,355,531,617,805,375,892,820,359,092,164,808,995,410,
727,964,584,624,018,489,196,331,920,247,348,588,756,583,782,762,119,542,557,
452,754,402,021,628,212,674,310,362,100,326,270,584,618,098,081,745,093,359,
976,779,222,155,435,265,435,023,599,711,849,133,054,589,778,718,473,773,108,
486,831,528,463,806,263,268,416,770,932,147,789,390,822,880,812,427,640,841,
087,464,456,642,205,758,587,760,610,571,744,383,056,180,131,009,160,229,950,
137,798,227,196,611,676,742,462,027,211,533,089,473,895,880,408,176,728,190,
071,857,069,004,342,683,675,915,618,912,316,203,168,441,694,785,544,349,354,
371,265,747,195,919,322,590,659,922,171,048,477,897,635,005,795,463,062,495,
961,989,105,571,806,605,785,759,101,837,597,898,000,337,263,017,682,179,474,
125,773,131,209,696,191,412,334,214,728,707,900,583,461,215,989,275,707,597,
934,748,692,254,145,358,971,662,632,184,528,530,736,221,190,800,869,040,627,
250,079,835,121,891,059,800,289,917,201,664,072,775,047,726,918,250,481,444,
383,895,478,618,112,648,890,759,631,483,709,792,308,742,540,030,437,398,205,
603,765,979,083,078,472,879,818,557,370,017,166,875,549,035,978,898,472,526,
921,496,330,028,257,404,590,546,210,022,957,266,796,407,970,215,868,856,917,
954,818,112,695,694,531,234,194,019,675,401,534,176,155,067,388,052,328,927,
499,224,216,132,668,635,681,469,697,444,813,359,942,358,841,937,587,730,640,
951,024,244,526,076,289,753,123,337,500,164,843,855,550,707,285,712,220,224,
144,807,945,544,587,421,070,359,013,364,163,239,748,265,335,556,367,843,802,
440,993,991,189,486,255,276,586,365,876,826,635,856,722,973,163,649,944,635,
868,857,223,971,393,943,993,029,178,148,211,242,880,819,941,129,087,280,343,
753,970,079,244,301,772,870,216,732,976,548,055,046,438,752,111,613,650,670,
846,537,678,213,509,763,809,131,685,454,802,693,444,278,429,822,845,840,926,
055,849,323,427,673,781,688,563,030,887,547,145,822,295,008,276,506,206,006,
735,565,809,611,187,333,229,498,251,047,846,920,517,441,445,762,908,134,238,
089,479,440,056,268,311,953,235,405,068,677,382,394,336,138,712,637,870,732,
107,881,587,545,173,106,137,810,257,303,127,101,525,433,213,153,844,411,160,
202,285,346,418,741,942,259,716,992,377,094,483,841,272,455,796,366,661,277,
274,609,093,400,247,790,139,389,781,117,283,715,552,178,649,515,123,899,187,
325,079,686,143,304,708,254,807,382,942,371,605,319,239,784,868,771,115,130,
145,022,065,771,557,208,997,909,301,437,536,124,746,238,498,374,469,451,363,
475,770,216,111,944,823,772,289,023,426,858,406,923,431,799,421,967,255,700,
059,331,589,912,309,768,825,334,331,834,459,281,273,328,842,774,611,276,980,
291,232,764,428,842,661,446,870,324,774,803,927,310,700,636,139,712,363,416,
524,966,022,037,418,728,652,223,328,393,716,590,706,027,947,257,839,015,825,
436,352,634,531,862,669,099,533,204,919,848,280,959,998,576,625,294,044,203,
735,791,524,275,070,867,843,793,632,831,400,138,577,682,488,411,614,862,213,
873,425,498,899,403,619,882,195,963,875,771,797,414,825,477,441,151,606,296,
706,062,349,397,442,814,579,081,744,660,808,771,086,456,840,900,708,854,037,
913,799,095,004,315,693,155,255,209,624,377,436,546,941,976,019,261,091,755,
568,184,347,161,471,919,960,272,910,910,705,925,782,319,914,332,853,023,803,
536,830,746,168,761,890,795,094,027,126,658,781,831,158,978,593,208,411,026,
148,374,585,598,354,433,482,539,905,059,215,810,366,830,200,043,869,544,200,
720,073,787,828,551,473,427,066,615,931,976,787,662,624,223,288,017,986,826,
389,762,927,672,632,833,114,572,282,606,744,516,821,007,010,497,484,756,689,
560,475,507,013,332,896,383,397,248,717,108,263,015,456,500,947,563,795,661,
567,467,282,303,948,902,930,264,601,329,019,929,736,469,645,166,950,623,049,
520,161,486,683,162,987,453,877,297,368,520,149,914,167,276,698,868,070,809,
041,066,148,748,206,051,866,111,050,232,541,091,386,117,786,312,951,850,520,
252,232,574,150,370,592,473,933,706,016,354,340,204,300,795,902,040,124,626,
175,250,987,313,339,263,108,551,840,104,971,525,367,808,234,103,135,361,044,
315,493,645,755,030,735,675,007,948,199,801,294,415,110,825,050,673,958,619,
978,303,847,217,373,553,996,920,382,276,961,270,023,850,902,065,910,357,968,
619,048,264,763,870,058,035,440,243,563,785,919,885,462,057,105,723,363,881,
516,651,570,966,769,414,478,564,406,533,942,140,187,475,678,914,746,747,044,
042,509,536,203,081,337,926,738,832,063,760,713,361,336,020,067,092,161,274,
204,260,129,957,285,420,903,860,019,663,629,209,350,810,694,902,281,006,694,
555,793,630,029,647,209,279,982,313,322,258,152,001,578,779,569,257,579,619,
668,178,932,103,716,477,166,603,106,400,328,593,385,068,950,104,277,146,724,
940,297,609,817,785,378,493,316,614,268,087,860,415,911,238,894,767,460,584,
985,757,948,072,555,840,929,934,249,792,525,079,283,814,453,600,906,246,166,
620,233,355,118,314,684,358,205,804,880,896,871,748,692,828,630,175,265,617,
858,277,616,036,593,424,431,382,059,335,832,163,162,913,182,294,418,383,109,
276,171,046,069,953,817,472,224,827,503,079,176,316,621,352,295,844,471,815,
954,164,545,076,696,841,844,886,193,863,215,991,606,881,893,600,035,776,091,
064,700,572,382,694,279,992,436,302,481,970,011,036,558,574,781,322,513,505,
573,813,878,922,903,465,219,209,231,223,504,856,566,434,763,584,653,241,213,
495,758,807,111,634,643,817,217,182,674,808,426,886,574,700,913,958,012,227,
493,290,060,143,944,817,689,060,892,830,665,636,014,369,110,606,590,185,434,
952,794,003,081,049,364,593,482,207,820,691,706,193,737,138,872,597,753,444,
694,664,454,285,517,975,674,761,089,032,889,586,276,905,258,892,243,877,036,
380,723,291,183,931,804,615,736,064,482,542,186,443,326,329,067,824,885,194,
972,293,607,648,915,368,640,212,574,730,502,200,257,227,958,456,584,739,552,
607,297,895,044,047,941,405,508,243,001,942,815,413,546,786,372,605,851,577,
529,913,485,055,833,618,771,267,589,837,155,748,217,619,480,822,976,025,894,
032,542,475,704,688,830,322,275,226,403,993,221,534,300,876,112,045,860,628,
446,845,052,475,783,307,819,480,146,039,093,700,946,363,394,970,979,780,523,
914,214,590,997,102,838,829,417,395,060,269,051,928,626,415,742,977,221,193,
011,517,212,124,974,118,244,763,847,811,366,639,462,032,297,861,746,410,654,
078,437,368,551,978,129,834,772,706,387,126,650,542,155,482,681,730,045,625,
485,895,049,801,896,240,638,482,689,182,280,232,563,769,369,970,540,255,617,
168,957,288,090,993,754,800,847,686,838,401,909,777,962,881,204,394,487,660,
918,207,290,317,702,088,499,162,189,765,287,200,205,677,796,928,917,063,461,
811,705,292,273,614,268,022,673,366,876,640,664,283,664,193,416,069,813,143,
005,836,635,312,273,572,440,032,888,778,486,629,641,061,776,247,066,766,677,
358,511,256,457,270,855,718,880,872,421,768,497,022,440,273,912,099,001,679,
931,574,300,894,196,600,845,847,074,584,813,558,221,626,016,043,993,820,159,
139,793,353,450,694,086,176,545,887,278,995,336,124,495,611,876,132,848,638,
989,020,330,872,671,362,245,755,394,487,027,638,003,832,353,519,590,733,781,
937,498,815,040,328,058,105,519,678,292,589,947,604,164,062,778,409,740,480,
179,647,953,825,959,495,237,453,269,458,026,752,683,214,372,631,408,558,208,
476,506,330,381,278,628,770,940,059,465,004,247,660,801,118,288,530,773,388,
592,939,865,582,774,567,461,021,537,778,127,395,865,487,566,703,988,711,977,
717,656,720,881,275,574,185,158,183,525,027,867,275,625,707,727,496,514,766,
335,469,292,871,590,084,624,530,853,260,980,236,978,799,403,613,212,904,134,
595,449,603,169,093,346,498,425,321,919,849,961,529,909,814,659,176,561,376,
568,612,400,838,495,204,350,407,735,755,458,841,952,835,726,804,041,589,830,
886,677,613,162,412,824,960,810,962,204,757,361,573,871,659,405,725,256,443,
819,001,420,408,227,309,017,282,536,202,474,381,305,707,300,950,420,933,572,
993,658,969,541,496,225,349,967,676,960,388,849,452,110,820,175,933,143,546,
900,498,856,536,138,310,671,400,004,503,807,456,436,245,068,071,663,711,910,
165,817,042,918,216,928,390,847,812,553,216,787,743,080,505,774,314,571,906,
398,472,865,138,670,796,172,186,011,983,892,809,450,173,405,790,663,262,162,
749,994,706,857,665,416,305,007,819,303,695,808,404,964,353,165,552,323,548,
102,308,242,845,583,349,495,437,609,158,037,178,774,170,161,004,054,143,535,
089,971,851,171,969,180,942,810,516,241,725,390,149,438,296,497,430,849,097,
737,677,306,440,373,486,268,905,252,038,520,930,895,318,564,546,134,109,705,
018,138,116,373,183,443,101,169,121,260,983,458,210,218,988,848,924,561,414,
263,165,290,355,289,751,035,407,026,990,126,564,129,851,529,923,599,272,245,
196,333,730,372,554,126,738,011,782,707,085,142,348,243,326,396,771,284,256,
998,760,095,154,708,457,880,357,677,066,807,701,133,942,910,270,138,479,594,
029,533,192,703,103,162,209,008,434,159,881,509,538,588,003,806,416,195,026,
033,824,922,894,808,871,808,910,710,409,653,749,744,971,520,263,849,854,595,
292,108,360,227,356,096,657,957,162,716,158,922,534,767,384,495,415,276,967,
786,738,157,138,052,157,042,414,547,065,249,280,910,356,012,997,270,613,012,
471,546,511,207,867,736,571,210,310,284,719,820,269,273,854,149,098,994,006,
591,081,994,236,291,149,418,532,718,453,185,703,763,805,180,465,242,856,722,
521,848,309,963,533,979,653,337,765,656,611,251,201,893,276,370,132,747,179,
455,329,022,879,562,715,953,277,973,057,707,771,694,595,967,682,558,678,164,
508,334,579,554,777,411,984,487,000,690,954,226,051,937,797,008,437,774,833,
695,688,459,950,917,375,918,295,769,424,044,916,109,597,518,546,350,955,645,
347,612,125,403,848,163,118,150,127,496,604,343,370,568,005,916,394,605,931,
589,580,244,265,400,122,191,830,566,063,317,832,849,840,372,030,476,339,930,
980,726,987,287,259,427,268,304,439,368,136,737,502,178,610,662,514,003,639,
507,065,211,665,895,954,484,535,120,193,751,797,289,058,679,572,662,916,431,
952,419,993,021,176,366,547,086,334,055,802,232,721,506,162,679,379,857,863,
063,217,730,636,193,727,069,439,443,835,212,981,573,313,027,118,540,171,090,
785,941,492,080,759,087,871,799,300,469,904,138,376,145,205,073,947,397,394,
265,622,451,400,100,144,673,634,232,766,852,126,807,337,376,271,541,218,796,
521,088,491,514,525,535,703,484,899,164,322,027,257,142,575,771,236,028,747,
341,816,668,767,643,579,379,497,228,723,764,268,779,006,761,434,943,237,113,
270,700,422,419,434,882,066,140,514,302,168,177,971,258,253,734,692,983,754,
386,165,041,713,976,240,414,124,884,107,510,710,401,147,150,546,858,237,374,
766,808,695,437,122,339,070,276,392,654,694,745,557,110,707,277,238,510,927,
464,357,452,204,954,963,665,212,032,899,532,148,251,469,980,171,474,678,994,
106,001,350,559,829,979,194,353,872,903,138,217,047,546,836,519,761,120,236,
816,826,451,551,006,553,629,289,634,487,388,120,999,900,345,811,870,581,070,
600,241,698,116,546,526,068,123,254,746,983,456,024,508,548,849,725,566,131,
402,522,763,865,436,586,709,825,908,909,590,803,643,589,458,855,960,990,779,
379,143,725,704,863,388,717,764,149,003,335,910,477,214,433,850,886,762,442,
559,636,126,862,297,609,640,205,840,733,904,764,387,877,298,529,325,632,949,
719,788,727,814,523,834,908,383,209,901,301,354,967,022,351,542,710,264,605,
132,846,902,430,541,385,575,131,918,074,985,682,562,921,393,622,483,061,095,
937,960,239,752,663,567,150,633,297,016,280,335,392,795,850,598,276,687,711,
489,466,793,684,550,865,612,197,396,869,016,914,460,168,923,815,903,242,985,
548,311,515,972,850,464,137,732,979,913,051,623,204,191,067,548,030,073,213,
606,394,893,955,509,303,404,196,232,046,058,119,016,677,648,995,594,368,382,
689,327,562,148,280,917,398,130,753,518,946,285,322,249,360,366,425,600,120,
829,026,451,111,265,380,643,080,263,026,945,614,273,022,313,807,346,702,994,
337,673,321,934,952,987,552,970,764,853,239,236,953,487,148,708,470,638,019,
060,367,997,770,215,796,635,463,615,360,002,863,396,835,832,480,275,593,957,
281,014,270,150,682,740,971,976,589,877,571,586,841,608,663,815,744,448,924,
146,060,133,518,556,566,539,044,997,582,239,158,754,903,572,569,200,788,717,
607,937,672,708,871,484,083,385,430,591,412,601,925,367,981,441,723,933,102,
511,351,131,937,062,811,987,789,531,234,809,489,433,634,149,462,378,046,247,
628,056,368,208,896,679,125,726,331,749,622,381,911,256,068,062,137,986,061,
868,020,789,335,567,957,580,591,634,807,261,608,867,045,071,658,954,006,134,
947,827,869,623,077,038,781,581,528,431,195,229,617,721,056,466,554,760,289,
716,915,189,281,054,128,421,989,028,483,836,987,361,848,630,316,285,952,974,
197,306,135,194,889,569,241,727,143,761,258,255,053,783,624,303,368,952,278,
478,818,661,488,576,636,191,922,655,349,768,439,272,703,755,208,062,164,607,
798,390,768,469,438,683,091,363,058,201,182,020,911,294,533,776,329,960,790,
548,623,537,364,645,851,189,470,076,128,609,424,361,771,204,037,302,508,924,
622,152,984,888,949,401,746,334,090,981,004,636,759,015,295,957,519,556,855,
343,088,158,939,078,909,125,494,783,074,406,156,174,019,628,685,536,960,013,
681,999,746,868,160,147,219,500,555,051,830,234,612,952,847,993,332,763,218,
193,421,361,149,617,807,213,005,674,227,671,638,941,177,937,564,083,933,414,
455,153,234,548,317,143,146,834,706,006,395,281,440,302,654,662,471,602,326,
493,752,600,235,439,510,268,383,300,302,465,443,952,057,231,832,108,978,305,
661,483,786,874,278,633,469,605,993,455,277,688,851,034,722,883,994,363,071,
067,477,834,461,358,629,002,974,880,160,631,771,630,579,494,841,779,047,137,
291,557,935,013,537,726,843,875,713,485,919,021,194,128,912,858,067,176,635,
774,197,441,427,614,500,430,251,947,268,892,363,062,094,728,485,147,138,518,
629,706,521,312,798,527,537,233,549,567,945,531,689,837,694,405,417,316,418,
131,214,254,003,768,138,225,012,086,389,112,527,838,711,634,493,521,131,636,
984,608,022,976,792,283,984,366,810,234,469,532,479,391,818,855,659,837,461,
138,791,917,632,834,001,873,260,998,783,842,693,969,840,888,642,613,000,803,
274,281,270,485,221,111,067,782,282,873,938,954,367,288,968,053,277,177,569,
081,170,954,324,675,359,073,289,964,336,008,330,951,817,265,342,378,342,075,
005,524,856,077,570,859,170,462,952,074,192,607,906,069,675,761,288,641,607,
626,566,454,552,492,879,411,822,906,018,143,814,215,790,623,900,689,126,678,
129,511,978,719,924,656,001,231,600,756,017,526,383,564,501,249,929,386,094,
294,482,293,045,525,664,120,910,107,124,746,737,538,290,450,513,127,756,788,
346,333,010,107,018,002,767,680,306,224,590,579,340,008,221,112,169,825,167,
928,302,586,163,365,106,492,682,785,010,597,320,659,329,071,898,234,517,830,
374,266,437,515,391,522,746,310,192,983,197,509,033,299,612,431,803,011,279,
414,847,634,697,195,704,777,758,971,969,326,461,417,507,577,900,368,595,702,
879,302,680,774,459,454,883,634,506,144,391,700,615,498,659,591,177,071,581,
585,119,053,412,337,049,983,862,231,010,008,202,523,829,742,977,494,547,510,
203,317,701,576,402,986,040,123,668,794,452,651,796,494,063,226,697,682,484,
421,918,984,602,590,744,748,252,069,241,917,604,338,747,865,586,221,415,608,
764,426,069,860,640,096,653,023,296,874,506,979,062,163,701,565,468,538,726,
308,467,316,110,720,928,461,370,016,981,081,170,681,791,438,823,924,734,053,
499,308,002,857,008,066,699,492,030,070,391,662,710,780,796,200,797,649,284,
402,392,273,482,287,407,156,951,957,350,948,214,185,413,611,127,567,485,532,
048,206,867,413,461,822,510,143,832,646,334,280,891,088,777,354,408,323,093,
014,442,058,223,517,564,879,298,902,464,391,444,415,922,594,167,571,829,311,
886,228,413,173,854,248,280,306,047,562,963,717,359,514,555,583,890,792,962,
569,679,628,264,243,964,090,739,925,002,760,588,586,067,948,628,083,845,889,
714,305,226,893,929,386,552,464,022,168,273,492,730,062,162,652,938,684,926,
281,885,687,865,095,435,958,740,094,931,501,388,683,054,065,502,809,186,925,
052,422,309,185,955,255,939,750,222,081,390,403,485,457,277,469,691,726,683,
881,262,346,126,387,142,074,613,573,299,636,500,020,746,363,846,276,302,887,
014,051,200,847,864,415,385,764,667,222,798,751,935,543,111,845,062,071,804,
814,930,216,508,416,395,664,187,685,755,592,786,975,029,461,005,589,026,252,
068,851,728,496,983,471,854,553,032,615,260,292,367,803,073,631,876,952,914,
353,867,780,942,750,767,048,158,820,406,504,206,263,653,922,821,066,147,023,
160,780,739,078,216,080,001,570,165,529,881,643,013,575,979,412,681,693,795,
163,929,141,598,979,093,188,815,957,017,426,698,038,749,895,258,858,808,661,
347,023,277,680,389,662,107,867,287,143,287,516,273,388,637,419,634,723,066,
537,545,485,484,237,921,267,921,316,714,452,726,465,822,845,272,119,979,099,
680,930,609,545,838,871,939,346,338,703,388,232,459,221,725,243,436,581,603,
779,276,462,741,995,917,588,415,909,306,107,756,203,749,980,111,490,514,897,
908,263,781,307,705,111,689,195,721,141,644,028,485,781,128,660,657,658,642,
745,433,826,639,990,363,304,967,187,868,131,296,961,699,749,358,534,099,490,
253,655,094,684,824,667,742,578,995,127,645,551,085,491,994,680,392,380,881,
526,555,304,924,996,696,144,374,394,739,221,843,042,312,031,098,632,320,780,
378,794,255,299,492,228,894,535,678,559,449,513,305,847,433,383,764,502,629,
502,808,228,082,099,620,692,735,865,961,537,954,487,157,983,655,961,501,196,
239,470,116,895,339,855,589,177,088,424,699,522,679,703,250,072,805,488,869,
265,911,929,011,167,575,050,765,289,340,611,632,622,072,647,525,834,005,663,
281,433,467,028,038,157,190,769,443,488,638,018,355,717,403,097,848,890,758,
170,266,011,305,828,822,391,039,600,729,834,231,850,842,782,401,508,676,573,
344,332,390,739,702,024,673,591,782,848,469,027,993,659,556,078,471,196,917,
495,880,363,753,296,526,736,207,801,847,584,214,864,749,016,181,464,484,605,
154,505,454,280,095,658,846,731,860,124,443,929,808,033,471,296,282,574,671,
531,571,226,813,810,907,029,558,634,740,747,921,432,858,352,291,886,757,039,
517,716,546,997,482,758,992,671,079,892,867,552,174,631,465,551,288,071,642,
489,400,404,222,895,585,667,601,805,571,786,447,995,007,207,642,225,055,326,
164,308,149,905,800,186,009,242,352,497,425,886,019,081,315,682,424,359,898,
427,437,819,297,968,581,288,705,943,489,247,905,554,029,541,674,539,661,682,
991,827,118,081,521,105,880,285,673,286,436,925,480,549,362,591,047,597,300,
993,276,341,569,691,681,164,069,258,559,293,596,136,320,562,652,650,014,074,
075,849,446,331,575,233,906,769,888,011,101,939,188,701,195,860,075,906,437,
955,625,296,310,907,969,605,754,811,706,140,011,368,100,155,604,567,527,098,
526,582,306,283,483,316,099,772,272,905,601,331,175,157,763,996,811,927,894,
953,767,183,024,475,991,432,227,968,322,091,964,927,673,175,075,332,517,021,
928,834,476,511,766,539,840,289,225,636,483,816,287,663,486,957,880,887,501,
011,703,945,837,421,121,029,805,437,094,699,696,031,775,024,738,512,025,847,
745,524,104,281,469,641,478,877,062,919,348,785,562,571,615,960,244,635,543,
083,082,207,350,566,910,700,390,186,494,554,294,361,541,658,265,320,349,127,
699,405,365,925,155,260,457,259,058,668,776,053,953,884,357,839,513,459,454,
813,714,305,070,236,506,837,747,959,332,035,668,518,387,439,582,367,489,463,
609,261,264,694,306,658,360,954,654,793,825,134,739,251,104,249,231,637,459,
036,695,525,351,771,378,330,321,064,155,265,636,409,965,487,561,640,155,629,
341,971,018,316,145,504,402,607,984,230,747,117,246,523,760,245,868,943,732,
899,275,990,619,099,021,015,847,236,298,359,867,176,030,825,485,790,076,732,
719,903,151,803,751,332,425,490,382,158,727,718,211,712,102,302,950,685,781,
889,263,402,901,289,521,478,242,247,382,407,154,765,524,829,934,835,806,322,
738,734,897,441,529,952,839,417,702,192,340,580,483,781,622,636,598,462,459,
196,051,071,178,667,202,090,976,525,583,688,052,697,035,311,936,645,106,872,
465,880,025,808,939,713,141,318,865,859,691,565,697,003,697,387,700,503,350,
102,931,939,846,541,182,271,636,399,615,253,159,130,937,326,786,903,417,710,
311,076,465,871,057,687,183,688,336,161,308,847,885,747,962,827,454,659,793,
998,745,954,250,146,361,251,929,356,702,770,465,524,553,684,721,978,753,867,
729,866,279,358,370,563,164,150,367,163,786,722,490,891,898,722,829,740,735,
198,863,570,718,907,631,730,192,858,055,793,884,444,299,973,017,404,898,331,
133,129,812,577,930,396,738,556,666,831,120,538,813,622,302,943,615,045,605,
968,450,575,851,695,610,584,488,928,220,728,863,203,478,944,169,584,951,283,
909,822,833,975,593,538,343,880,829,361,389,291,863,961,410,046,994,641,200,
051,942,013,953,704,432,933,944,379,265,633,871,308,635,574,670,544,292,707,
353,988,900,637,320,825,110,168,952,787,957,238,491,452,286,840,662,984,152,
987,321,963,548,983,675,224,960,761,254,828,764,316,668,110,828,667,367,798,
059,680,311,505,632,414,223,236,055,126,317,890,513,338,237,428,594,763,825,
724,300,256,960,432,958,756,161,449,677,237,087,681,575,382,628,173,439,918,
106,008,817,963,624,869,494,277,159,143,524,078,383,582,082,718,030,415,392,
337,989,185,980,104,474,538,824,293,694,450,671,139,801,273,074,117,227,437,
142,239,676,727,311,963,327,888,267,577,182,225,494,182,402,492,712,978,812,
433,194,591,427,837,303,460,349,501,078,170,115,470,936,897,933,302,284,257,
834,011,350,000,263,154,615,479,619,198,602,848,625,369,707,498,577,092,913,
188,636,483,026,892,318,130,279,780,743,777,827,083,970,429,828,728,464,367,
143,333,572,094,913,781,052,819,216,467,933,431,840,657,951,857,801,263,989,
708,109,557,482,430,819,286,289,027,582,089,651,171,670,809,010,426,838,841,
917,436,598,928,110,086,899,168,613,285,219,974,714,388,489,748,306,963,867,
978,435,755,439,031,358,981,455,457,826,880,085,083,743,700,412,474,941,808,
246,859,498,709,520,287,453,822,965,177,678,440,684,520,822,578,664,636,106,
663,001,243,833,475,600,502,984,434,486,795,257,610,745,397,076,875,351,325,
650,575,155,224,396,798,054,979,743,125,352,733,900,263,926,408,220,629,694,
152,198,891,941,459,954,159,935,004,624,246,635,989,789,771,567,149,394,437,
903,980,772,481,571,550,330,701,613,277,597,814,115,557,682,008,499,186,356,
715,158,900,865,142,155,371,297,457,848,539,029,968,026,682,184,785,170,116,
140,444,637,273,088,536,762,593,959,552,598,477,873,993,206,754,789,418,963,
025,284,625,621,707,105,583,657,423,355,799,380,383,758,441,248,728,064,710,
591,598,273,938,149,567,511,577,167,212,880,530,788,838,548,850,671,670,486,
290,866,243,350,563,033,763,235,984,758,945,226,449,908,776,521,027,799,408,
108,315,392,101,806,223,229,414,197,610,579,472,426,155,457,362,714,047,795,
363,573,939,118,870,312,487,123,788,917,917,496,980,662,255,339,887,711,515,
329,368,856,332,755,445,249,378,378,332,421,636,921,401,130,588,887,386,452,
877,839,190,757,275,569,346,410,627,234,830,287,285,098,013,701,991,512,194,
795,442,772,726,146,637,657,032,498,488,691,748,980,814,613,478,533,218,982,
486,431,635,349,475,347,547,868,455,982,360,148,946,040,968,494,232,805,951,
443,941,500,721,594,772,860,383,242,809,128,975,343,881,741,248,896,909,507,
689,152,355,645,313,487,880,131,685,300,541,189,108,888,832,593,274,524,083,
374,731,279,488,768,113,877,095,900,962,692,636,440,422,144,453,210,166,612,
519,601,504,830,655,164,058,925,733,396,474,763,574,536,295,313,134,248,135,
527,485,517,493,442,206,528,823,820,598,215,206,291,040,355,776,107,575,372,
755,710,361,700,910,416,711,731,835,793,801,180,351,727,922,624,998,497,249,
587,917,097,418,387,531,505,810,263,826,348,975,284,686,935,774,981,191,679,
365,083,956,462,771,435,054,809,835,009,034,059,608,055,074,595,328,885,538,
264,015,039,125,338,534,104,986,509,197,713,599,882,114,225,954,899,658,601,
914,060,216,900,067,985,875,379,741,661,227,944,449,985,138,606,891,139,230,
943,261,066,527,436,111,782,437,137,233,873,412,408,573,131,712,282,094,087,
061,235,667,525,296,081,673,098,631,539,850,028,027,450,267,033,128,970,317,
356,703,039,433,578,105,516,919,477,385,728,197,015,527,542,193,027,612,599,
790,748,398,346,531,986,380,516,936,284,159,828,612,805,016,874,666,756,827,
086,801,490,989,596,518,049,916,847,140,836,580,927,785,112,730,571,270,901,
401,179,441,724,343,838,186,775,800,312,619,018,902,146,512,147,042,289,375,
699,967,971,301,261,432,010,510,610,035,317,526,714,722,806,104,821,096,293,
127,988,756,765,176,398,843,254,009,581,545,714,016,156,167,974,399,054,314,
289,923,523,889,784,933,952,538,776,627,663,545,868,917,907,315,871,655,018,
533,219,663,358,076,200,778,059,322,366,240,422,136,828,905,071,377,748,337,
529,781,944,579,601,606,007,459,307,327,133,507,129,218,856,531,414,796,079,
797,872,978,816,266,749,324,782,948,375,885,243,843,989,215,442,102,590,570,
240,295,613,078,721,263,032,301,267,661,349,321,712,310,275,741,193,931,229,
579,329,433,432,299,925,912,090,477,881,291,871,735,033,990,723,082,948,708,
942,112,083,721,219,768,526,108,441,490,757,589,665,532,556,742,757,422,224,
684,741,346,892,570,631,395,852,248,057,337,033,572,953,884,196,070,424,677,
786,842,743,032,499,065,006,555,955,794,718,640,634,109,283,742,805,689,742,
808,519,794,089,254,789,809,308,414,354,757,674,080,955,652,990,660,593,750,
001,892,242,175,658,964,098,587,408,501,426,980,562,640,809,264,727,993,904,
797,373,046,347,280,268,825,803,363,555,247,487,819,419,282,484,940,769,627,
594,170,848,397,936,589,033,429,384,641,770,215,784,484,534,432,117,589,082,
060,765,257,683,524,696,753,773,368,803,365,455,434,593,195,147,867,686,625,
913,075,787,961,522,187,263,402,241,817,840,123,788,018,015,621,631,258,512,
530,956,987,802,194,455,452,413,440,553,784,468,723,828,088,188,813,073,545,
128,080,608,325,212,411,431,986,768,619,873,951,637,014,650,652,753,070,960,
121,465,958,527,772,377,899,297,798,600,701,184,031,085,540,272,672,433,574,
239,981,726,552,838,006,294,700,728,643,123,745,971,181,595,000,415,417,987,
867,041,224,765,087,809,836,382,980,658,856,125,298,495,158,524,168,830,340,
895,565,302,161,176,844,698,211,852,272,181,658,486,629,142,214,731,084,884,
118,480,362,217,515,163,986,077,802,713,206,593,540,144,441,705,824,560,336,
479,993,930,332,964,545,042,696,442,184,350,508,916,841,425,979,902,959,813,
636,111,491,213,463,355,913,815,942,374,692,361,194,091,308,885,095,577,986,
548,119,317,031,695,317,944,129,494,250,078,454,960,367,323,799,943,011,975,
442,428,540,082,729,527,696,756,849,963,816,801,744,743,365,960,000,812,030,
485,169,385,761,082,341,138,536,540,183,914,980,717,670,285,711,325,961,190,
389,964,867,143,904,701,146,928,938,968,106,113,021,540,888,554,041,453,110,
952,679,230,871,993,342,291,185,213,343,018,551,169,220,833,421,564,045,326,
435,957,241,525,604,220,053,485,242,189,269,520,040,908,361,948,588,729,407,
204,266,879,535,169,041,612,702,777,891,873,361,458,655,157,278,645,512,309,
614,730,040,873,094,638,512,149,176,426,829,772,565,013,045,896,944,019,403,
733,779,143,832,883,526,589,086,449,656,903,589,166,569,163,752,540,169,627,
649,907,694,374,176,583,902,549,688,845,400,312,375,619,161,604,457,914,268,
113,398,604,344,468,818,271,332,122,276,969,352,069,012,939,843,883,337,278,
501,820,031,890,128,925,588,466,134,646,283,384,584,022,501,304,886,735,603,
604,801,133,060,555,778,003,354,236,249,816,480,649,625,281,285,017,103,492,
943,832,639,858,782,785,700,408,111,556,185,778,405,644,708,569,698,173,345,
102,739,822,061,270,607,806,002,354,126,840,849,075,156,859,504,097,514,588,
052,974,510,682,816,440,777,843,557,549,648,162,153,747,436,077,996,564,139,
347,423,279,687,114,201,097,799,588,711,125,671,955,681,661,999,304,622,819,
680,022,068,424,996,215,315,448,224,650,045,815,821,042,893,115,819,595,778,
363,061,671,053,605,707,991,580,408,122,063,137,214,211,442,451,176,047,709,
159,813,125,834,932,384,073,748,687,024,546,188,719,857,406,236,447,667,946,
099,534,751,622,160,036,485,036,285,446,458,230,037,086,273,059,540,821,197,
663,706,712,369,074,070,137,808,819,443,013,073,384,601,400,642,795,829,211,
249,354,360,776,234,884,477,459,344,438,766,651,645,098,994,221,123,528,326,
821,727,184,785,556,220,063,409,893,069,843,077,080,004,458,059,144,176,235,
191,493,219,414,018,215,632,365,369,685,416,180,135,181,078,357,459,097,729,
423,702,177,746,849,878,400,434,770,958,643,531,206,433,283,653,477,887,248,
006,198,339,395,759,573,430,497,255,202,150,066,999,078,860,028,591,787,985,
913,114,830,962,804,304,372,899,590,145,229,130,490,967,144,223,739,072,243,
985,686,935,689,893,329,465,199,638,146,670,777,270,483,749,351,808,562,142,
203,746,758,963,766,578,931,178,840,441,450,659,660,427,015,076,580,884,506,
106,488,985,942,045,428,618,730,976,905,560,423,988,125,499,294,171,454,003,
305,420,660,305,583,484,712,299,937,274,760,180,090,109,447,453,087,150,397,
257,323,596,978,895,478,062,409,476,878,321,087,436,805,031,977,730,033,466,
412,358,121,667,223,918,859,698,465,236,657,456,010,341,853,391,453,533,676,
686,345,483,505,674,846,156,964,608,972,450,452,174,218,721,314,045,297,577,
036,706,050,604,742,760,795,597,068,567,121,718,587,574,987,861,853,890,327,
255,737,153,222,430,506,075,877,845,877,340,131,279,992,889,001,820,727,677,
295,366,297,192,891,971,947,720,179,132,053,285,569,899,180,130,646,641,881,
272,166,124,035,117,556,456,426,208,579,984,137,981,383,442,977,927,121,187,
742,416,392,018,796,868,483,325,284,070,143,187,275,503,912,433,176,730,683,
497,883,714,284,981,292,782,221,452,587,829,555,912,228,503,041,883,472,562,
310,471,432,459,683,188,049,859,565,419,019,782,881,574,768,991,316,350,379,
323,576,881,407,463,647,898,157,897,281,445,580,473,552,006,543,539,559,965,
870,037,599,010,527,991,929,774,719,378,816,291,084,170,198,358,859,654,780,
501,031,392,198,911,766,541,838,071,582,321,571,524,549,564,168,423,370,367,
540,687,929,162,854,628,669,517,113,170,525,599,748,178,364,881,685,229,470,
921,120,279,735,579,431,955,416,444,081,384,400,123,915,577,049,771,106,560,
183,589,790,756,802,788,799,932,365,903,943,828,841,684,226,935,179,465,783,
417,258,724,484,217,379,442,423,598,187,671,210,254,755,340,050,946,073,860,
680,649,287,326,097,957,474,665,412,353,533,951,259,536,811,687,447,673,979,
045,790,456,844,626,790,759,695,644,142,954,866,510,509,910,483,723,028,849,
916,023,494,412,758,737,663,537,986,891,364,176,978,725,734,271,044,037,148,
656,464,559,537,027,553,250,985,107,733,638,175,084,466,084,901,693,469,272,
513,915,722,680,695,425,680,620,682,855,609,585,672,465,708,236,240,188,946,
119,799,576,217,056,315,404,344,670,003,607,441,210,807,440,635,372,504,313,
263,571,515,644,733,625,151,532,859,307,276,863,285,997,156,034,118,016,317,
373,880,422,796,349,397,723,858,999,959,580,506,387,848,548,073,587,591,824,
237,582,629,133,731,852,353,245,093,531,126,329,731,248,115,142,325,132,625,
225,829,363,961,015,466,327,735,490,771,007,296,337,392,797,134,114,805,580,
539,485,743,671,173,224,789,447,441,581,810,674,178,382,829,856,344,293,149,
033,124,329,714,739,848,922,120,586,263,843,081,415,889,047,641,748,883,588,
798,541,091,904,674,700,869,279,288,062,137,687,023,242,354,776,528,585,030,
666,756,440,961,118,739,730,377,473,030,295,346,418,657,519,815,169,232,493,
710,587,430,883,712,805,578,377,315,718,859,918,479,182,781,310,655,460,805,
355,007,663,469,582,348,383,816,619,417,522,394,806,454,956,279,395,268,942,
468,696,355,582,591,372,116,004,191,380,643,755,612,160,295,944,424,664,940,
249,647,411,061,188,923,314,793,835,166,153,732,248,235,733,092,549,153,322,
071,176,251,694,656,038,170,520,959,625,183,686,349,175,918,908,956,415,549,
357,633,898,046,364,849,550,113,073,367,412,629,540,833,082,091,431,476,595,
619,959,902,361,405,770,568,404,953,182,467,062,142,043,151,341,854,282,045,
606,120,657,902,607,438,368,305,803,851,927,109,980,548,999,249,796,621,573,
922,413,307,205,535,755,173,063,327,783,687,131,188,337,567,601,653,263,669,
792,675,090,541,695,514,785,890,008,245,714,163,822,672,898,053,742,027,065,
287,379,792,653,870,731,837,596,512,482,451,754,724,085,877,547,943,359,539,
177,875,546,632,644,535,558,180,718,712,789,889,310,063,023,124,099,993,832,
101,000,540,607,766,669,180,552,185,990,178,215,570,311,043,661,845,262,644,
901,617,581,051,653,748,770,160,269,347,698,382,066,131,366,993,058,805,883,
687,592,093,723,353,604,565,634,409,247,651,698,016,272,143,652,619,290,882,
308,373,124,388,438,803,859,717,717,790,112,378,743,828,192,549,341,361,934,
603,361,417,690,223,800,231,213,624,024,225,412,057,148,213,991,398,838,498,
708,042,722,159,829,392,170,099,685,077,897,641,211,976,765,996,721,857,459,
071,086,821,439,424,438,242,046,982,455,924,870,373,308,530,159,726,723,985,
466,091,642,107,752,090,588,956,242,267,313,304,017,856,009,272,978,083,821,
043,541,669,751,796,005,490,164,350,928,899,433,277,868,756,592,028,323,936,
176,615,878,359,458,063,593,738,868,678,667,451,332,845,550,936,608,534,315,
244,825,414,657,931,551,363,115,118,553,761,030,841,409,007,231,593,115,880,
142,255,228,205,635,860,836,757,722,903,867,669,344,730,567,313,046,586,343,
328,968,636,271,687,368,679,469,302,585,855,915,753,545,186,921,285,316,701,
197,153,434,247,215,045,153,981,801,213,868,228,571,650,724,049,824,190,920,
846,770,875,867,500,373,219,179,043,260,564,302,404,849,298,661,074,370,720,
152,296,664,117,379,493,269,351,883,489,340,761,774,550,770,053,664,079,027,
815,147,676,678,315,241,159,986,196,575,651,971,717,510,039,300,419,494,890,
702,741,640,527,232,149,362,053,965,446,888,798,026,968,583,135,967,683,942,
744,499,227,151,715,119,182,747,550,717,925,077,147,775,437,256,483,904,714,
480,200,047,392,957,306,901,500,411,794,516,022,201,160,674,681,858,185,432,
254,540,692,150,565,528,775,596,121,335,409,004,323,098,888,027,269,788,864,
545,013,107,413,760,688,466,322,393,116,573,232,421,027,982,176,672,749,147,
418,188,389,293,964,082,542,762,539,051,484,081,314,504,315,208,624,504,594,
284,029,660,474,948,815,712,514,547,202,001,167,511,460,067,825,943,008,273,
485,210,407,613,525,666,193,843,020,333,007,253,859,175,368,692,283,227,781,
009,091,535,558,786,313,779,594,937,485,984,683,813,655,998,343,733,901,686,
501,952,524,827,322,636,304,950,519,810,804,392,470,290,605,183,211,149,903,
380,472,528,080,591,376,901,100,284,069,125,245,839,789,749,288,435,046,640,
198,816,469,576,046,481,604,514,226,120,856,625,960,085,741,041,681,607,374,
117,955,718,786,123,287,261,597,253,440,256,890,789,390,708,620,402,386,581,
854,452,476,618,097,679,866,599,491,151,911,755,241,687,567,897,592,291,542,
276,172,278,936,396,593,307,183,446,613,030,574,106,262,512,279,068,094,353,
931,508,183,338,468,450,005,812,636,837,012,946,461,757,470,167,132,843,179,
609,876,100,700,007,284,929,244,515,446,202,892,213,792,668,543,990,143,935,
831,703,576,921,916,525,452,834,675,273,348,028,831,303,071,549,109,295,080,
694,904,857,406,666,658,797,008,191,971,123,820,597,663,607,761,415,591,911,
018,460,035,314,870,310,634,110,009,306,987,613,324,988,683,120,312,657,239,
335,060,161,255,605,680,571,007,013,909,881,133,445,318,993,014,835,500,442,
601,785,296,260,104,437,004,318,565,169,226,032,720,855,437,643,294,288,596,
604,142,040,908,268,485,026,018,964,153,095,485,108,831,589,325,445,983,085,
591,685,055,415,688,472,454,486,166,254,132,058,895,147,255,021,976,814,083,
018,155,493,093,893,730,224,376,471,294,751,894,617,221,017,740,305,611,919,
940,087,323,135,240,354,636,621,087,653,910,996,942,593,593,560,921,621,846,
810,960,587,386,702,222,373,134,928,593,377,331,378,693,609,344,876,325,913,
990,735,999,449,926,047,163,345,374,527,899,068,346,958,920,495,704,558,360,
697,895,744,520,178,108,705,814,464,840,984,191,135,137,242,382,300,465,224,
601,202,702,214,571,138,609,537,664,738,260,164,711,589,709,011,370,270,108,
048,628,627,133,615,050,860,879,295,621,782,417,673,895,600,907,164,799,304,
485,019,080,550,983,829,137,903,455,392,463,395,390,364,305,923,725,444,181,
515,188,198,719,896,357,513,017,276,153,458,652,382,666,504,227,994,605,412,
305,618,223,480,664,195,701,170,618,205,680,220,016,981,127,812,157,161,577,
293,408,545,717,948,854,729,020,590,609,588,166,748,290,262,821,799,998,422,
679,118,198,803,134,290,480,875,359,039,130,480,166,827,138,902,248,155,923,
992,952,379,180,608,575,811,775,178,180,692,342,652,539,903,991,994,868,426,
072,541,281,551,960,281,988,051,636,963,366,409,001,095,078,156,822,769,157,
433,514,852,949,520,762,641,824,422,714,581,934,409,670,837,413,154,919,028,
046,741,729,943,179,376,198,564,843,436,477,996,942,163,429,887,513,289,799,
329,680,947,869,092,309,232,373,446,888,670,782,417,150,074,998,230,595,050,
833,770,891,558,668,068,386,702,111,841,738,763,702,044,315,346,353,521,414,
877,067,805,394,393,048,915,089,382,255,774,166,450,982,955,098,603,235,622,
589,242,713,570,864,468,115,502,446,752,186,947,706,318,581,114,395,731,588,
924,984,490,830,257,306,901,006,579,110,800,366,924,456,038,355,277,797,631,
613,379,738,815,753,729,092,223,398,667,562,775,434,492,968,656,952,539,922,
463,714,614,152,875,826,809,029,365,492,731,209,617,107,757,485,625,448,624,
788,174,119,407,062,396,691,310,030,536,234,209,732,160,080,183,583,232,678,
431,406,950,981,140,273,080,362,517,465,297,727,869,206,321,957,405,896,166,
845,702,738,559,930,609,981,224,075,731,060,677,953,944,517,743,709,707,344,
307,972,255,456,286,211,105,623,544,193,065,940,563,231,594,720,646,586,502,
204,032,647,426,771,295,089,621,238,333,422,220,609,042,021,099,250,179,830,
210,923,328,275,557,940,713,837,378,070,198,318,811,170,169,817,985,545,037,
261,668,456,767,866,390,799,286,620,672,863,318,852,584,792,709,142,281,678,
870,530,533,834,587,593,874,930,456,855,778,203,767,089,809,739,407,582,412,
547,750,855,547,005,032,519,123,800,073,067,536,815,037,068,504,042,048,854,
058,358,397,291,818,216,825,652,250,701,619,630,645,230,640,365,790,282,223,
066,107,051,456,143,752,477,639,572,327,680,408,422,266,403,090,220,842,283,
621,838,857,282,753,453,663,570,736,081,302,821,020,916,715,087,991,386,667,
428,260,401,757,017,986,288,541,001,810,646,565,848,373,677,844,261,396,647,
605,040,383,487,633,429,838,535,099,999,003,992,735,897,074,649,565,277,364,
834,136,881,688,668,716,036,177,011,895,695,044,346,606,732,434,957,882,683,
463,865,990,092,636,362,727,237,396,715,893,079,306,891,245,748,452,438,734,
308,160,845,050,447,541,982,477,424,431,551,871,425,156,072,887,222,404,370,
342,680,937,362,513,214,181,232,579,916,223,483,253,155,448,037,882,899,294,
767,963,314,118,603,092,278,141,790,935,135,571,299,586,214,820,109,619,426,
835,604,605,421,678,201,246,707,024,920,397,394,336,187,065,957,404,567,342,
101,079,582,111,009,141,830,382,056,590,945,336,264,004,268,461,477,511,532,
768,667,021,051,601,199,267,215,127,645,112,524,241,116,047,081,989,765,193,
915,727,872,238,486,590,956,343,003,686,480,422,712,922,411,764,725,973,774,
990,506,826,934,386,969,036,121,007,600,807,567,231,592,697,552,162,823,947,
870,514,540,612,618,877,398,667,406,248,165,679,268,674,239,934,416,310,848,
340,394,306,578,131,766,348,226,208,080,578,184,762,120,253,875,109,919,759,
927,303,375,859,702,839,153,241,496,037,943,666,647,589,086,758,571,706,406,
058,282,919,661,992,365,468,255,099,478,005,243,001,905,812,050,282,401,886,
900,162,436,205,922,754,300,201,888,417,543,221,347,278,954,587,838,980,145,
545,726,013,806,508,961,529,426,522,969,867,769,078,219,780,180,425,453,448,
779,233,810,014,717,685,551,473,212,052,456,132,321,155,872,161,963,926,200,
689,609,048,580,682,754,453,756,689,198,172,123,292,740,717,036,264,278,602,
654,700,864,827,729,967,010,658,285,390,197,811,176,362,764,883,256,206,389,
026,777,450,705,385,049,110,376,692,626,109,824,594,501,723,819,620,240,372,
027,416,646,181,581,747,841,728,528,788,360,827,012,548,267,676,140,598,376,
515,547,624,763,762,941,940,746,335,177,383,727,823,524,091,789,270,604,267,
573,738,683,500,777,505,101,722,178,722,316,012,652,861,533,620,660,395,170,
412,737,080,353,711,244,246,808,144,360,167,194,158,750,496,781,426,751,534,
009,630,840,328,366,381,076,203,567,425,675,601,465,812,092,829,464,662,983,
540,836,570,258,172,565,940,502,324,640,080,651,741,388,427,563,282,023,824,
661,109,850,775,020,432,258,551,138,546,606,056,227,172,352,012,679,530,780,
581,959,959,936,639,161,369,051,507,308,844,552,695,851,977,538,035,492,947,
761,532,628,104,887,171,191,313,931,530,218,224,868,189,026,734,812,772,153,
207,892,960,201,003,972,851,700,805,936,037,165,598,451,033,998,228,431,773,
641,056,866,880,456,675,576,654,497,918,578,061,242,115,632,133,131,944,897,
538,818,102,895,138,070,016,778,370,198,196,484,141,474,996,772,272,255,813,
668,283,285,367,184,307,617,783,299,139,551,074,664,534,277,058,484,624,735,
091,748,578,083,976,458,513,313,886,425,699,074,573,376,046,781,185,946,728,
479,812,318,346,736,375,296,659,246,596,079,949,534,099,016,854,020,109,517,
251,649,366,470,766,745,128,419,671,651,361,343,460,027,945,820,318,086,560,
480,122,758,697,427,429,234,418,053,286,100,288,843,022,461,476,099,556,207,
268,130,738,240,790,448,946,275,984,313,188,973,871,161,434,919,805,594,165,
884,283,377,217,474,025,004,083,875,966,426,741,685,652,441,515,001,317,567,
479,186,224,652,084,430,152,293,064,209,097,761,027,165,559,060,999,093,579,
496,680,620,814,284,783,808,597,951,515,368,845,700,293,738,876,031,418,542,
320,651,629,576,995,774,184,330,699,810,323,229,715,602,379,429,661,596,141,
166,595,655,409,432,559,649,843,884,307,397,972,070,926,193,299,977,937,931,
929,982,801,018,448,964,531,741,182,545,178,224,859,760,704,590,209,865,989,
730,873,238,574,418,061,240,042,035,699,301,560,643,730,322,060,369,572,441,
008,202,456,300,475,000,728,499,548,135,541,933,369,176,218,402,513,869,811,
299,676,459,186,153,391,861,692,762,014,178,414,374,444,794,955,357,112,534,
382,184,526,664,568,456,844,390,878,923,329,952,524,903,758,573,177,842,761,
989,076,174,801,012,727,821,037,590,476,956,412,557,796,244,097,695,887,724,
514,529,364,305,856,427,766,382,055,557,303,982,293,531,095,372,406,305,949,
356,323,406,180,956,943,249,902,413,005,835,683,533,571,999,682,895,711,334,
531,429,861,316,013,527,860,167,707,153,752,316,284,369,421,819,385,132,311,
694,168,210,197,431,983,110,057,572,451,345,020,793,451,442,562,031,687,037,
884,671,369,040,065,918,309,181,281,199,592,921,545,778,801,274,530,470,767,
031,231,736,148,032,474,762,699,116,813,997,869,382,788,208,906,602,246,779,
597,769,970,913,843,260,035,756,575,999,417,259,741,430,715,948,484,298,864,
269,910,028,490,506,012,672,716,455,142,471,637,325,464,539,541,304,164,928,
659,387,555,346,626,613,482,154,617,413,677,004,159,312,051,432,371,420,230,
314,345,561,215,971,989,494,986,237,332,572,501,143,799,579,157,278,976,461,
328,919,928,036,529,031,233,994,248,080,140,913,594,016,017,661,358,979,946,
399,752,829,407,822,436,479,649,347,498,078,272,342,626,808,246,318,483,696,
667,570,997,815,835,651,958,984,562,433,563,036,360,963,849,510,029,225,962,
470,458,761,656,552,363,360,242,356,949,594,117,166,772,696,696,286,159,051,
893,934,459,350,634,179,634,650,034,943,935,207,704,246,457,187,765,310,602,
908,214,809,688,902,784,587,000,508,079,055,226,056,744,847,312,656,900,683,
623,274,840,474,393,661,278,643,132,600,423,225,054,093,582,527,030,430,991,
244,561,124,331,962,226,156,876,574,888,792,821,026,986,628,069,199,035,701,
698,891,492,053,688,787,642,120,234,015,468,103,959,404,786,745,692,475,711,
362,834,253,935,855,925,944,420,838,002,770,555,763,110,873,703,605,362,984,
138,851,248,243,977,254,498,991,710,409,225,963,224,707,351,053,270,092,369,
028,354,646,248,594,592,482,040,137,878,490,568,319,979,978,547,371,403,674,
943,390,518,004,149,535,204,751,397,582,637,110,155,876,835,700,270,314,396,
539,541,076,225,973,010,971,784,952,662,192,477,731,572,535,925,455,008,902,
811,156,941,309,409,617,260,496,410,702,388,303,753,054,948,187,398,665,303,
129,724,887,728,463,680,202,209,198,556,266,330,660,811,665,404,972,500,045,
222,462,587,571,247,571,778,395,377,112,883,370,517,522,558,360,818,253,078,
656,452,905,084,867,780,090,916,535,796,032,914,174,522,252,041,399,192,364,
545,474,349,605,158,552,623,735,190,598,579,270,425,076,748,447,497,106,348,
581,717,695,384,683,984,517,287,125,449,022,355,260,571,667,709,077,431,060,
666,058,490,038,541,540,891,514,372,452,302,163,349,890,158,391,825,130,537,
731,720,066,320,944,708,564,855,803,559,131,375,220,610,515,884,808,364,668,
207,247,178,535,215,137,636,529,868,326,815,172,527,970,402,327,274,544,262,
039,136,337,980,045,843,221,579,591,075,791,070,689,244,071,243,964,769,588,
280,476,034,899,398,045,996,331,011,202,664,908,017,563,265,347,121,716,258,
369,687,842,175,064,164,650,995,792,119,791,891,553,297,626,351,955,952,131,
842,502,679,650,429,188,497,333,907,565,250,058,736,846,918,662,887,776,516,
039,101,318,957,982,042,263,473,765,327,457,969,253,124,902,869,225,349,815,
032,002,497,897,737,050,919,284,999,817,533,345,288,251,539,793,588,334,152,
428,215,747,414,551,048,805,573,625,185,642,578,211,328,945,820,945,039,990,
513,432,863,263,450,792,458,254,687,830,216,755,864,872,227,333,547,135,222,
908,957,038,582,520,899,129,025,189,952,453,426,457,988,654,850,102,988,355,
238,873,673,901,290,737,830,793,363,434,252,325,984,287,569,670,578,304,952,
673,420,296,960,928,488,243,875,911,129,808,820,555,762,754,863,883,408,140,
376,610,685,851,563,241,781,917,429,314,078,419,942,744,454,059,004,795,208,
237,818,260,228,508,534,981,136,844,397,782,491,358,392,951,958,667,550,990,
000,649,881,948,838,354,899,305,841,965,795,146,422,099,832,408,579,201,245,
661,773,049,533,127,250,818,966,979,793,495,893,333,334,798,068,901,752,963,
085,651,053,748,757,884,942,051,428,524,699,355,223,819,478,905,375,662,069,
919,565,422,013,706,464,288,975,529,226,559,111,306,008,107,088,676,691,257,
768,288,277,597,943,292,667,679,887,444,263,888,059,318,979,645,674,606,096,
377,857,462,658,498,546,682,963,607,861,768,715,499,752,932,630,179,078,136,
113,081,239,366,582,700,328,597,995,585,987,265,700,862,313,816,118,593,485,
387,407,153,705,161,590,741,374,126,990,786,507,459,481,715,185,852,034,497,
511,696,638,267,629,049,530,837,244,876,861,562,765,422,021,820,754,424,782,
865,161,258,345,002,908,521,865,024,884,618,769,393,273,674,686,193,601,205,
814,848,850,723,154,095,863,375,877,888,619,876,891,271,604,907,619,922,479,
344,608,936,098,861,420,255,779,978,267,355,114,699,596,094,537,286,728,779,
935,100,186,286,324,783,496,621,470,807,260,341,816,577,514,693,356,321,303,
758,960,431,198,403,645,437,254,433,582,111,337,007,741,360,106,189,940,948,
266,962,937,979,167,286,937,672,948,903,425,815,589,818,670,117,734,315,514,
823,498,804,809,436,871,687,442,972,460,403,857,232,651,312,689,380,354,225,
092,659,906,813,734,353,632,698,087,565,407,123,622,695,325,575,168,300,161,
575,040,171,685,294,671,120,754,173,719,685,260,177,910,273,363,527,919,209,
372,127,395,495,864,706,870,851,444,971,076,442,581,286,656,975,593,760,937,
029,931,902,444,019,669,034,540,906,790,381,697,414,092,675,179,288,109,420,
764,745,907,628,245,575,681,682,185,232,653,245,276,886,243,510,604,889,489,
383,776,842,146,595,058,045,353,316,258,211,384,107,074,802,648,913,232,304,
262,571,967,241,009,601,767,990,119,391,954,445,419,233,772,867,093,052,461,
341,400,664,540,736,430,589,110,465,651,816,797,208,403,814,801,400,603,268,
126,709,436,419,780,387,891,403,463,282,003,958,109,188,740,479,530,049,892,
739,181,926,512,549,107,380,171,081,000,576,961,165,488,208,398,407,754,010,
215,409,322,260,868,667,108,009,360,338,014,116,989,905,662,893,134,674,936,
479,003,422,085,954,642,823,922,877,439,797,460,914,277,882,111,554,387,381,
189,151,176,755,937,025,793,836,568,315,137,712,277,309,932,813,417,646,591,
879,443,016,152,482,994,695,253,915,690,018,574,402,761,537,683,805,485,657,
508,252,248,190,277,913,181,810,528,313,457,273,433,786,981,830,215,055,091,
178,474,204,245,804,443,364,806,447,755,389,929,540,944,676,923,185,909,805,
196,787,398,747,534,790,400,573,924,663,009,717,511,227,546,050,562,776,777,
057,594,685,898,114,781,422,025,202,001,424,491,322,651,029,639,869,585,837,
414,485,261,028,881,676,000,793,914,905,942,966,499,232,454,004,234,880,412,
375,493,357,697,575,976,029,121,862,946,229,726,307,901,438,987,976,662,567,
420,687,850,234,670,951,689,235,620,004,686,562,150,224,065,266,505,748,753,
260,460,674,069,143,138,314,061,680,276,430,425,219,070,747,074,479,058,561,
947,730,471,142,322,545,249,462,553,581,213,984,116,485,503,091,303,982,647,
184,337,613,727,707,957,755,151,615,879,732,110,056,632,255,204,057,083,354,
180,944,366,423,592,716,312,311,583,013,819,128,206,286,642,817,619,851,969,
573,479,824,377,033,586,298,406,940,226,733,153,722,502,809,005,543,989,270,
073,907,627,066,645,760,620,493,238,383,831,927,262,593,823,238,091,672,822,
305,175,250,630,383,834,239,037,362,374,321,331,171,363,753,344,910,406,054,
516,036,279,472,828,521,593,612,563,871,188,931,278,362,712,920,348,381,940,
022,805,320,871,509,967,556,146,146,177,108,179,564,509,653,367,467,725,457,
434,714,628,509,622,565,534,646,615,611,252,287,352,381,091,108,364,245,929,
010,574,728,036,511,867,298,942,227,287,056,496,216,098,689,877,186,496,538,
137,718,659,757,619,867,523,143,863,744,201,239,239,623,612,925,850,301,264,
482,516,051,688,858,718,438,936,950,787,612,723,121,394,943,378,891,605,449,
315,759,069,931,769,195,016,553,223,999,900,093,607,592,499,497,226,571,591,
149,584,959,906,803,210,298,325,245,288,311,454,795,026,815,445,050,278,813,
757,729,532,229,821,650,934,385,186,916,475,001,817,583,447,204,278,458,306,
366,095,029,554,719,092,581,957,663,869,258,337,691,124,128,814,653,446,626,
582,840,399,272,270,987,840,577,797,353,188,695,723,790,832,512,242,806,630,
842,938,537,768,738,437,627,258,570,908,841,543,806,190,117,717,524,541,139,
712,963,340,546,720,102,901,241,891,036,296,613,623,734,959,365,346,882,877,
243,426,661,573,279,503,896,800,109,987,880,486,869,313,141,763,168,442,912,
635,275,242,433,291,783,328,945,437,833,018,151,802,929,252,002,972,277,303,
967,443,112,060,225,104,945,177,670,153,135,383,964,045,450,125,233,351,408,
765,554,156,756,298,666,500,934,461,397,121,050,659,103,788,815,756,651,488,
491,434,162,579,886,703,339,965,871,314,947,768,006,347,048,039,069,121,767,
094,439,333,874,872,400,253,235,918,043,367,882,423,792,851,771,728,194,390,
835,414,395,803,128,670,296,311,142,762,978,417,842,331,175,632,803,317,674,
377,916,315,738,227,346,953,602,648,910,812,600,501,153,471,154,991,728,458,
901,932,318,067,997,123,909,620,816,218,760,832,384,355,034,206,009,481,634,
044,468,526,860,096,415,189,725,878,585,129,641,464,562,452,342,702,126,294,
381,777,051,063,375,026,317,293,500,419,706,230,223,241,819,987,554,555,847,
136,114,779,152,624,268,556,088,393,992,183,641,480,706,284,275,199,314,646,
600,928,012,602,968,912,078,854,984,050,206,044,723,340,350,770,264,727,573,
883,009,506,220,346,773,022,996,986,654,510,660,285,187,882,547,739,147,302,
643,977,507,262,986,536,994,513,104,493,577,598,994,960,727,537,016,784,336,
027,788,165,508,898,582,975,208,772,280,756,960,525,732,249,528,969,531,360,
105,452,888,344,413,713,092,823,248,625,714,275,956,661,948,745,940,840,936,
676,396,268,003,571,737,988,563,120,044,679,487,442,867,907,882,726,494,004,
952,360,560,698,785,438,470,928,172,688,077,264,134,388,298,462,414,399,448,
776,792,437,975,659,485,213,053,817,030,019,747,937,898,988,219,291,661,175,
201,474,274,359,399,921,398,116,589,505,471,123,654,258,790,147,836,556,237,
086,088,113,383,627,500,370,069,395,341,108,620,670,462,083,941,722,868,602,
080,627,612,509,651,343,414,809,794,353,312,777,368,328,955,330,245,717,575,
436,851,839,622,002,469,134,806,347,947,378,357,318,661,147,396,483,758,587,
934,910,162,106,888,705,130,195,240,989,518,587,045,662,516,929,896,535,556,
426,917,134,848,011,364,718,881,630,952,302,110,704,308,079,521,379,547,294,
994,873,326,193,891,771,786,542,387,785,462,288,501,106,403,720,791,849,266,
893,980,790,597,043,746,950,074,682,317,220,255,907,925,947,086,994,400,757,
242,145,815,056,555,004,018,110,661,051,125,823,407,521,240,271,557,821,478,
623,859,692,059,960,522,448,992,716,578,501,983,590,916,053,324,869,786,280,
825,070,095,222,803,050,753,065,449,805,699,368,663,872,683,206,583,397,781,
548,110,296,354,810,227,365,742,509,543,673,745,491,937,940,792,126,096,711,
288,416,719,393,337,042,642,733,364,353,482,142,283,180,606,143,050,017,635,
954,303,715,992,100,831,055,133,698,765,394,893,998,959,172,984,821,562,351,
116,335,112,010,807,285,339,915,019,556,212,857,427,767,154,053,196,132,116,
906,834,736,213,355,012,193,311,062,641,532,288,324,941,685,675,679,162,064,
866,139,773,162,025,480,019,750,243,707,984,341,251,165,635,722,932,909,165,
849,303,681,408,143,459,727,601,405,222,043,740,199,733,455,306,362,917,480,
959,440,229,700,804,847,567,461,892,271,485,389,901,430,005,763,201,082,853,
954,503,550,813,276,930,290,106,523,763,842,889,528,367,340,340,433,795,228,
947,887,443,541,838,186,671,403,398,974,003,507,199,684,896,779,241,295,904,
661,932,659,340,588,995,479,210,762,598,678,733,292,203,857,149,919,330,474,
491,091,488,172,000,518,382,113,308,269,957,547,517,029,289,829,680,653,035,
535,097,135,735,412,679,809,646,110,752,688,665,606,551,873,802,630,637,954,
734,817,416,352,874,291,898,217,529,210,520,544,503,510,440,739,805,167,580,
274,880,931,980,773,240,108,351,592,709,643,334,350,683,237,375,151,387,837,
281,965,825,028,363,509,275,431,545,343,103,979,850,044,798,906,350,599,921,
506,089,945,938,586,238,324,163,896,820,866,154,082,392,264,563,814,639,390,
509,829,992,345,063,486,261,284,711,276,578,087,399,524,177,347,753,546,767,
226,250,262,698,309,915,508,264,503,509,636,570,482,118,440,334,533,937,251,
829,112,653,743,457,242,367,033,610,385,284,528,821,031,254,322,219,766,623,
185,695,608,625,145,776,851,327,641,412,827,676,336,077,350,344,247,204,974,
833,172,826,517,252,637,190,435,622,154,988,515,778,561,800,017,782,747,063,
458,038,567,600,188,635,031,906,860,303,983,008,492,373,346,019,451,022,518,
795,218,045,914,731,500,847,633,485,677,534,860,646,314,159,333,323,509,023,
768,938,562,574,355,814,213,004,342,505,504,250,244,169,905,577,130,760,606,
064,580,973,045,192,273,274,222,038,568,664,164,900,313,455,733,608,548,280,
809,275,089,293,215,995,268,294,924,788,751,049,938,875,469,907,614,465,750,
495,887,919,231,204,722,731,520,722,671,397,073,872,564,763,424,365,526,748,
051,654,443,535,362,325,414,868,485,062,556,760,589,394,725,741,571,529,084,
404,593,772,006,866,895,255,692,129,613,097,343,338,649,236,688,634,943,447,
245,362,256,058,711,667,967,161,888,468,954,767,265,971,662,969,996,857,142,
052,248,102,365,812,124,993,603,250,130,231,716,877,630,776,028,839,702,069,
013,583,993,417,955,570,217,772,053,392,794,531,370,435,009,770,375,039,536,
290,091,051,626,574,836,729,234,949,974,039,218,686,882,846,998,658,603,170,
692,011,353,001,171,993,312,245,229,130,152,034,528,764,838,092,916,801,092,
305,522,518,154,110,219,767,095,043,660,442,183,538,375,966,046,939,832,883,
584,353,552,740,240,197,564,241,728,502,169,664,705,037,005,358,860,751,306,
068,661,498,891,972,392,318,653,920,615,035,779,264,825,967,206,639,304,841,
919,752,048,979,059,170,373,786,300,415,803,274,879,949,059,092,455,148,077,
874,229,202,725,341,718,151,326,255,002,458,129,409,395,790,087,361,256,994,
974,248,234,100,611,129,032,504,443,546,605,016,427,680,240,809,830,686,761,
697,667,654,142,603,437,738,671,982,129,266,029,778,696,068,498,163,958,352,
300,175,099,769,654,856,257,373,067,246,509,293,596,169,243,229,329,420,525,
399,277,863,894,815,141,259,456,091,189,617,177,233,179,092,308,212,423,551,
289,707,634,168,923,370,450,879,219,048,160,064,458,957,130,840,173,957,208,
157,871,207,367,108,291,637,538,007,432,917,700,107,217,489,496,267,343,347,
311,908,359,905,278,918,761,965,630,603,352,439,740,565,752,272,963,923,833,
214,235,245,240,950,659,876,445,709,530,185,485,478,013,923,270,527,998,429,
508,409,349,243,773,262,677,467,191,768,112,573,164,794,081,593,608,272,846,
394,422,564,203,017,653,994,078,469,456,567,254,197,642,304,638,929,957,920,
738,300,497,532,519,307,124,741,253,785,960,141,309,997,094,707,436,350,597,
899,058,418,868,274,280,647,540,576,488,819,945,288,074,712,033,901,210,950,
976,575,960,304,938,796,938,705,609,643,710,089,964,727,011,586,680,533,213,
104,546,588,699,050,532,574,230,353,391,441,790,164,041,891,382,419,958,171,
338,829,729,229,723,937,953,731,046,636,707,688,438,384,710,674,651,250,837,
927,073,289,722,708,084,439,109,254,857,498,803,215,066,404,139,057,914,928,
489,138,446,704,820,693,557,975,063,885,327,120,831,434,797,452,011,529,838,
165,056,332,578,920,799,362,216,327,088,427,681,869,269,496,915,572,025,736,
258,313,512,183,210,218,985,183,620,216,585,945,284,247,578,289,010,719,416,
632,508,160,773,360,533,608,543,951,595,134,740,247,516,170,689,890,972,799,
823,778,374,761,914,562,518,667,769,457,010,683,392,416,344,114,185,711,837,
043,463,263,142,846,111,642,814,391,500,035,955,657,708,921,211,815,335,186,
008,387,007,773,551,236,816,194,695,760,731,611,532,582,309,943,585,781,489,
344,216,935,723,960,190,280,743,526,930,159,593,200,407,265,304,042,632,285,
707,494,208,767,207,159,016,713,318,638,679,595,887,707,300,238,030,451,989,
324,209,199,972,361,993,082,423,618,111,683,954,717,238,605,130,413,563,098,
577,664,547,113,871,211,192,147,525,778,707,017,042,205,996,955,635,149,066,
339,308,113,049,901,870,395,108,537,649,694,532,662,314,973,538,347,038,921,
536,780,652,520,035,199,733,500,169,322,057,757,565,418,866,381,218,197,646,
896,628,622,960,092,046,265,689,332,771,071,860,467,186,115,983,179,285,050,
110,628,074,862,459,455,500,708,539,448,869,782,702,923,718,582,390,807,627,
075,999,554,331,557,276,029,161,930,842,042,344,885,051,182,256,845,555,760,
351,960,645,063,998,144,250,611,631,753,469,990,682,766,654,251,115,033,933,
767,619,008,080,724,144,005,423,897,398,501,458,158,426,811,795,321,031,841,
236,680,038,387,376,960,755,702,556,848,990,517,332,900,317,765,191,287,135,
468,018,262,816,649,416,094,619,430,473,095,605,407,873,676,431,200,863,823,
187,046,047,234,737,475,258,421,810,821,439,971,451,275,216,335,177,472,171,
665,060,259,681,157,950,915,423,324,047,256,950,450,650,392,400,028,884,331,
169,092,809,621,580,987,014,210,818,293,417,411,063,510,252,154,601,937,190,
309,725,133,062,087,188,167,283,775,502,063,688,074,770,505,103,323,047,261,
404,953,818,579,612,462,854,633,517,484,757,093,662,291,651,786,395,580,387,
049,809,918,675,402,150,819,418,928,527,412,541,659,462,531,093,690,603,627,
612,365,649,878,471,037,184,396,605,136,826,113,398,650,711,787,524,140,112,
808,391,381,488,526,927,348,144,116,173,399,919,081,007,220,725,487,821,230,
769,385,338,658,582,449,500,916,697,638,887,924,695,284,292,614,359,761,636,
828,345,444,492,444,802,074,883,522,398,333,982,292,622,367,715,082,081,918,
521,950,279,532,093,675,654,968,345,980,173,336,844,109,044,985,495,209,936,
880,582,687,899,306,993,799,166,304,605,580,454,782,560,725,188,132,957,611,
131,377,660,850,536,125,567,978,328,567,986,397,662,019,208,845,825,248,149,
168,459,887,866,928,400,417,370,859,128,469,063,548,510,882,213,783,712,726,
428,214,159,222,458,377,356,068,694,558,134,844,315,159,687,122,179,065,615,
833,327,032,729,827,877,406,268,032,220,484,831,453,700,651,920,349,947,393,
322,573,068,939,063,794,469,876,893,192,806,890,200,509,404,786,653,107,896,
261,943,840,450,165,998,251,961,461,866,004,102,307,009,890,593,206,953,757,
260,814,324,042,285,840,380,082,749,231,899,009,088,215,601,749,453,721,327,
611,121,217,763,945,049,258,359,608,792,643,601,249,802,430,199,286,817,608,
095,784,328,096,027,614,110,502,159,654,818,236,678,074,088,157,477,416,827,
201,284,331,404,380,802,068,449,839,755,664,633,027,232,870,624,119,685,515,
869,598,707,714,449,379,109,379,391,235,030,250,597,094,308,433,411,758,778,
829,104,693,652,863,565,195,498,185,395,293,291,084,638,437,428,375,633,426,
780,070,011,187,896,229,413,207,625,832,091,617,252,064,599,730,794,060,243,
713,523,892,476,677,569,717,314,108,618,097,274,577,559,392,396,673,737,373,
569,036,604,862,675,001,943,605,526,170,153,779,841,783,197,352,708,549,216,
790,809,215,676,092,187,546,128,712,135,393,487,179,860,884,666,550,882,579,
130,483,818,972,598,112,600,622,730,184,581,268,582,817,136,327,808,612,805,
156,964,501,791,535,824,241,808,014,195,619,448,954,983,937,406,473,355,836,
474,536,125,163,295,339,162,230,670,033,625,688,243,089,104,115,986,177,319,
421,523,296,305,221,077,103,708,553,784,222,065,055,201,257,997,379,473,089,
347,736,796,373,380,890,866,003,665,844,262,870,429,167,279,469,952,641,888,
320,377,053,719,383,500,225,933,472,816,915,775,336,610,272,949,412,394,944,
554,633,475,098,447,071,524,213,222,043,032,628,571,733,044,982,573,381,184,
134,630,075,663,184,295,866,864,301,065,836,514,767,652,143,568,839,352,064,
782,981,159,763,141,245,981,919,279,644,322,716,529,841,185,194,590,734,691,
962,800,696,933,327,190,305,479,885,859,553,038,026,190,344,729,426,797,482,
653,601,013,360,438,899,172,793,037,154,867,315,355,101,492,703,317,878,901,
190,751,782,117,702,380,636,674,572,591,181,381,717,471,643,744,441,905,505,
858,142,787,312,009,216,131,124,511,989,499,558,536,589,979,402,821,731,664,
611,840,050,855,734,582,146,150,096,042,072,734,510,910,647,910,118,951,344,
302,956,745,030,727,302,788,888,377,678,815,089,695,319,187,653,743,796,120,
169,767,309,268,778,159,321,553,970,398,778,503,932,458,176,564,672,324,531,
391,624,064,407,830,327,529,406,549,988,791,649,404,875,059,342,867,958,324,
159,511,198,705,717,833,350,425,215,988,249,840,459,973,595,430,304,539,803,
115,141,066,309,777,159,261,271,650,314,402,391,814,302,228,304,102,865,590,
155,360,629,258,602,313,677,141,547,311,509,114,796,245,723,850,855,341,663,
927,243,276,669,086,388,063,135,154,822,412,704,988,223,291,963,872,517,790,
996,381,778,061,687,471,098,586,367,510,735,175,226,125,419,788,920,000,461,
293,706,615,841,925,826,638,018,011,852,119,592,541,319,336,253,154,358,649,
594,975,176,346,165,124,221,509,158,573,929,804,313,394,396,545,131,034,048,
911,473,691,492,022,376,380,550,808,074,506,341,112,739,422,579,293,047,030,
518,215,676,094,407,479,766,400,806,633,995,894,983,384,910,076,242,912,822,
587,568,403,298,554,361,455,792,389,828,164,178,940,622,937,346,199,412,097,
546,092,000,952,589,252,224,906,512,635,240,475,361,965,268,956,099,974,194,
243,170,015,863,349,039,496,663,973,302,817,267,061,297,526,276,747,281,082,
872,344,745,458,040,216,863,808,632,176,798,138,475,769,013,949,191,576,568,
257,333,618,128,843,169,240,634,393,324,300,152,673,757,573,648,486,896,377,
302,455,634,324,752,457,074,531,271,612,071,643,361,700,328,498,842,167,636,
083,125,085,440,167,171,169,413,810,777,753,836,810,120,812,248,356,571,139,
266,373,034,066,704,086,672,395,893,378,028,297,306,411,469,173,072,688,261,
382,805,138,536,649,195,961,429,357,109,412,408,292,299,281,064,753,877,241,
957,135,601,769,539,369,910,380,077,774,878,380,013,616,180,836,666,522,546,
476,568,692,103,030,493,683,417,915,617,738,744,018,345,163,805,477,104,525,
013,947,804,130,258,048,131,853,230,781,534,256,212,893,908,032,690,912,459,
572,339,827,701,660,884,152,255,146,772,289,056,412,376,184,393,192,759,834,
230,128,109,281,866,308,230,527,943,781,627,391,255,676,370,519,372,139,445,
333,465,171,543,408,040,006,836,691,136,691,119,930,080,451,954,490,721,926,
143,977,983,464,124,197,314,019,585,770,223,947,044,988,886,691,717,277,536,
334,116,276,753,109,060,421,778,164,385,577,308,742,002,034,900,883,739,606,
515,973,766,428,213,267,817,563,831,979,309,260,397,464,426,058,157,740,828,
156,145,988,229,377,986,028,034,444,821,348,499,535,140,039,585,716,558,741,
834,151,634,878,570,388,429,056,939,045,156,392,071,101,730,979,128,052,971,
099,071,283,573,226,921,832,333,410,981,769,469,514,043,933,636,679,250,009,
108,928,834,567,541,706,331,079,630,823,480,241,955,545,520,092,026,393,411,
513,922,026,891,090,039,102,853,647,343,861,937,148,910,990,791,355,541,618,
179,673,116,835,323,509,408,297,201,824,732,519,415,546,956,029,320,452,372,
728,378,968,567,169,657,592,506,253,259,882,033,665,918,000,959,578,566,019,
742,742,000,325,505,519,549,523,679,074,033,941,947,146,573,019,469,166,058,
690,957,764,887,192,006,592,528,918,190,269,962,660,740,043,876,402,424,952,
479,356,018,974,316,904,087,388,769,436,835,183,165,224,888,301,883,414,176,
311,231,996,765,577,781,063,398,329,934,875,352,246,640,931,747,210,761,093,
497,383,450,868,851,822,457,470,480,629,838,314,818,427,236,932,770,296,996,
879,469,697,727,866,778,291,786,545,298,944,913,476,687,659,036,513,583,455,
158,691,638,907,786,776,510,159,845,432,069,706,821,774,953,399,706,404,039,
994,984,792,859,168,276,756,848,827,988,467,455,990,322,815,256,681,553,636,
661,686,615,751,129,617,072,258,265,097,612,530,499,508,095,202,353,453,220,
953,495,565,922,635,285,032,992,916,701,608,089,352,469,082,950,759,439,210,
584,123,969,389,027,387,314,132,668,876,116,297,985,912,035,582,556,613,600,
568,073,137,349,279,640,507,630,797,011,318,571,586,112,610,365,520,068,047,
362,367,455,729,847,040,301,485,219,342,648,684,073,342,530,472,367,344,691,
338,742,535,526,489,195,313,229,389,846,668,301,550,186,835,990,882,735,249,
906,913,990,611,901,616,013,012,572,157,057,585,855,866,490,792,010,240,769,
835,628,153,318,295,707,146,653,909,328,380,065,879,902,534,583,915,458,442,
151,555,167,932,085,003,803,482,091,149,979,512,766,796,273,129,943,280,534,
973,391,601,198,522,802,505,823,917,971,515,822,993,384,262,971,895,026,879,
460,724,495,349,894,209,845,589,146,874,157,155,158,312,020,764,280,606,912,
579,589,517,069,386,544,852,913,389,659,377,367,905,437,800,228,531,029,550,
786,294,141,453,045,820,826,533,704,062,360,564,686,803,290,742,987,021,903,
289,470,215,433,748,135,665,684,555,702,842,781,174,305,170,434,088,621,515,
154,200,025,090,499,921,855,142,390,132,831,356,269,140,098,673,267,298,826,
565,799,622,696,177,151,807,181,864,630,922,144,864,321,737,077,189,309,895,
755,548,296,098,616,080,043,344,502,959,777,279,734,511,725,539,526,177,221,
866,513,738,572,291,972,865,191,662,463,714,306,717,111,016,711,225,744,916,
440,125,530,240,014,744,665,611,771,858,267,250,145,931,731,055,305,734,608,
087,234,188,116,612,875,266,751,016,661,480,670,191,606,407,233,221,546,823,
586,015,312,603,638,092,312,426,249,981,965,291,991,208,801,951,378,330,369,
089,804,118,047,062,850,404,038,215,541,019,696,636,311,417,816,263,358,367,
957,923,205,082,908,396,091,748,203,681,132,239,639,418,690,577,786,625,875,
598,590,674,281,041,623,979,718,834,518,278,256,446,131,775,736,725,554,851,
449,531,496,359,596,722,285,503,779,293,414,296,430,026,431,055,060,960,477,
661,481,056,289,759,585,826,612,504,685,181,748,256,581,158,370,736,845,228,
980,505,485,898,001,688,402,582,527,151,495,737,565,623,759,147,946,946,517,
988,065,433,196,890,857,507,360,571,904,525,312,522,423,892,936,201,096,679,
908,026,523,597,169,393,979,797,646,785,664,641,498,361,730,089,495,371,306,
821,979,520,809,600,023,869,437,444,090,451,636,671,071,979,945,018,412,268,
024,747,078,416,252,398,854,143,219,217,399,364,277,841,092,768,533,740,909,
669,335,670,063,187,339,259,889,958,989,229,363,108,712,951,028,013,284,373,
846,457,191,304,109,082,711,671,783,573,853,528,566,384,874,336,427,354,541,
731,206,981,413,913,285,785,937,998,551,276,354,847,281,010,475,719,691,554,
078,841,272,881,621,472,797,573,434,340,056,163,824,388,310,021,937,956,971,
061,706,173,623,442,822,790,064,352,923,042,148,449,362,658,579,981,464,772,
344,857,913,772,941,035,563,859,745,491,001,696,019,789,418,164,504,073,342,
616,386,610,643,013,083,092,469,749,657,982,457,242,126,912,408,508,591,197,
279,042,297,209,808,094,716,951,728,283,563,091,485,203,177,721,321,891,298,
343,606,131,566,177,346,043,054,519,824,120,589,552,039,164,390,472,454,394,
839,458,254,400,360,206,720,066,583,066,734,599,614,050,563,293,368,171,800,
700,238,100,610,068,725,513,242,348,245,109,258,471,792,990,982,710,498,809,
547,605,718,652,632,807,432,108,632,992,039,004,966,435,866,052,172,539,130,
366,319,566,551,664,419,052,181,471,101,270,592,396,210,030,686,081,779,600,
246,632,852,373,468,236,983,328,708,209,013,515,425,881,623,758,011,641,096,
217,481,329,964,219,531,888,438,510,646,394,471,733,134,103,510,378,367,766,
637,641,995,120,552,258,102,627,660,019,223,854,490,652,043,693,639,687,255,
817,587,746,569,031,855,614,142,607,740,353,663,851,467,731,429,675,515,088,
036,641,741,444,105,486,516,437,016,655,633,376,711,199,281,429,583,415,515,
621,989,042,804,904,432,176,185,064,605,617,666,305,054,390,877,070,425,297,
407,970,910,522,482,658,236,954,163,131,923,635,803,784,773,268,448,405,367,
985,455,840,517,663,251,773,299,781,611,333,688,067,743,644,897,342,063,214,
677,261,408,473,114,626,205,368,804,291,941,873,598,933,236,817,127,466,054,
886,492,261,351,571,166,833,658,368,316,190,030,662,819,868,677,673,106,343,
031,845,119,791,020,467,480,566,329,139,878,539,440,123,771,261,291,270,456,
202,813,763,075,840,310,782,532,666,511,493,706,432,789,188,623,414,955,405,
968,361,346,230,754,907,221,466,211,858,914,322,549,776,534,815,774,376,048,
341,218,084,896,678,521,908,396,617,518,608,388,294,919,357,003,627,086,583,
709,892,677,032,265,403,763,932,435,040,673,411,539,231,758,699,964,957,979,
968,917,715,057,083,044,145,677,374,138,340,965,294,812,481,595,680,865,689,
544,044,449,499,465,802,364,760,222,117,645,149,128,385,035,189,503,821,139,
274,685,564,184,970,232,492,701,644,968,157,021,617,771,382,441,804,869,657,
723,765,227,742,911,979,765,092,944,560,099,690,957,743,649,616,787,897,017,
046,255,744,833,993,734,070,698,584,613,918,984,403,610,991,451,156,389,229,
714,229,900,137,171,377,407,759,900,241,295,385,187,935,205,311,598,544,010,
192,607,564,829,521,069,836,240,231,404,578,902,068,423,697,640,286,586,217,
480,448,190,228,140,905,181,755,728,287,423,779,285,893,961,543,531,572,449,
154,744,900,218,579,128,340,029,912,422,448,285,866,709,832,650,609,875,806,
497,195,146,663,572,095,065,340,634,324,252,019,600,602,148,131,942,081,974,
810,640,370,067,921,124,242,982,367,444,470,293,564,882,064,994,329,711,774,
528,324,689,121,908,654,388,342,865,989,071,762,814,611,818,983,328,192,243,
405,816,310,773,370,732,181,882,456,049,072,562,470,221,612,897,049,644,296,
057,672,044,860,684,397,911,144,381,171,904,520,793,101,298,841,547,478,430,
626,296,699,097,586,289,580,392,901,070,109,920,906,944,432,086,263,786,533,
161,397,920,943,946,460,683,760,171,837,745,915,212,586,648,939,738,849,010,
998,971,785,102,447,530,759,291,451,127,023,449,612,548,293,080,474,922,963,
332,590,474,341,576,026,337,806,873,352,513,984,448,168,771,689,836,681,294,
673,950,089,387,397,765,810,361,386,360,425,284,727,583,214,049,180,959,128,
129,191,667,892,609,999,396,858,349,385,481,970,733,414,467,236,182,327,920,
052,731,177,563,566,777,617,742,473,297,846,133,220,848,333,318,429,329,024,
542,892,223,641,704,587,680,733,215,107,012,842,976,902,455,262,039,130,358,
878,218,792,760,687,319,974,195,671,307,084,612,382,366,872,938,833,455,375,
971,593,827,048,150,830,028,212,201,554,043,838,290,326,731,419,510,816,713,
702,853,518,155,370,548,361,752,810,054,859,898,765,878,114,593,961,943,349,
854,530,868,945,618,180,916,075,560,437,676,043,902,171,657,665,834,064,326,
232,186,944,270,683,487,363,994,434,185,346,072,847,261,305,127,280,435,646,
228,596,644,266,040,336,761,186,989,586,371,185,311,425,186,479,934,641,296,
341,508,535,617,948,123,135,971,164,846,721,203,346,795,631,779,563,343,308,
553,971,185,756,876,519,400,964,738,378,379,378,035,431,729,226,162,118,114,
775,875,980,490,424,084,198,046,104,626,480,438,670,202,179,809,283,905,075,
400,906,594,589,436,040,587,824,902,517,130,322,092,833,796,112,509,035,414,
345,264,434,186,473,674,344,633,117,991,108,358,416,575,577,538,089,541,806,
843,167,053,854,068,619,654,730,855,216,194,428,459,241,491,524,670,023,006,
436,474,689,768,517,165,937,645,463,054,411,074,014,208,985,496,338,609,026,
338,590,687,444,282,470,611,268,671,712,233,652,553,989,199,538,696,251,040,
779,504,607,021,405,451,695,820,687,392,856,520,868,784,200,310,190,423,973,
797,633,384,587,943,892,555,963,110,287,542,550,559,416,623,027,454,889,197,
807,089,470,133,158,535,743,408,426,918,820,656,965,159,716,319,794,903,300,
595,295,802,575,338,597,787,331,540,627,711,726,509,774,852,052,306,788,339,
415,402,576,465,790,331,026,263,306,453,583,555,832,325,072,803,071,968,249,
602,327,300,603,294,642,910,115,628,596,408,115,930,452,349,094,161,365,470,
110,831,059,156,955,214,112,989,227,011,107,666,784,759,864,108,926,740,114,
648,203,244,964,986,006,845,664,192,739,667,085,980,129,473,110,797,781,242,
262,174,350,243,999,616,874,724,244,015,846,731,437,115,106,837,203,405,951,
821,422,195,715,962,472,335,763,724,732,638,702,745,283,795,268,314,960,538,
934,315,476,150,522,820,380,036,232,176,180,648,070,420,195,281,492,857,237,
947,883,116,734,290,233,351,053,606,889,050,097,106,222,449,106,254,649,410,
907,354,778,085,260,610,963,820,918,248,466,249,373,957,448,679,372,447,660,
679,544,735,662,526,001,708,896,003,666,272,061,443,375,210,709,439,346,615,
235,572,857,896,342,261,951,939,683,261,927,891,329,338,871,690,361,315,784,
978,986,890,598,294,231,558,525,735,370,186,852,294,268,967,606,046,202,594,
947,515,276,526,593,688,060,138,996,606,362,262,935,440,222,793,480,376,458,
305,725,727,488,641,634,890,334,949,434,479,295,253,085,156,393,930,789,014,
058,922,437,366,884,297,566,324,847,834,593,961,421,793,274,011,900,997,966,
326,677,857,302,401,452,860,640,835,984,201,020,665,457,918,230,518,749,723,
139,684,083,011,053,334,337,534,398,025,415,650,217,169,612,912,433,146,099,
579,527,342,533,813,458,692,662,599,036,629,284,500,728,484,736,504,622,782,
437,151,724,349,935,880,258,176,040,286,699,492,570,331,270,536,339,621,412,
048,769,366,056,942,172,618,529,729,854,916,932,421,540,851,562,056,374,957,
235,344,960,464,630,892,412,161,236,138,370,523,792,835,729,757,860,829,256,
737,979,845,152,998,457,845,732,710,589,592,610,127,779,817,694,843,500,132,
241,403,720,602,420,469,541,143,941,977,494,126,433,638,661,885,001,022,434,
090,182,370,569,226,942,751,734,978,733,661,827,379,609,990,968,916,608,599,
276,293,090,501,120,653,078,813,977,393,108,035,097,248,195,240,030,383,325,
340,125,979,634,791,271,875,910,507,745,502,101,552,352,043,455,371,848,984,
065,835,964,252,488,625,542,440,751,692,115,564,093,771,975,155,040,765,257,
378,400,454,750,234,617,981,979,888,226,050,520,940,163,129,503,070,470,818,
574,236,470,933,860,691,269,357,235,428,965,898,963,058,272,860,056,046,408,
460,183,210,206,742,238,171,500,078,272,327,869,306,267,339,311,059,906,042,
104,353,925,820,379,568,081,466,389,558,847,155,807,737,909,780,447,227,876,
594,456,118,679,353,031,264,689,975,319,208,315,594,478,004,659,477,217,352,
416,136,790,192,825,453,199,947,402,990,625,792,957,127,440,887,767,119,096,
587,407,341,230,869,876,697,862,351,334,199,225,799,391,971,061,296,978,647,
711,875,541,019,178,597,975,773,238,426,137,206,161,843,503,564,465,225,676,
730,131,267,196,378,573,009,924,828,996,040,255,933,910,649,063,449,028,476,
865,925,033,189,014,696,022,369,986,420,092,797,620,916,587,416,871,088,850,
169,830,187,256,927,951,202,282,876,434,467,953,368,743,778,175,847,813,098,
368,803,206,609,645,260,471,785,399,674,442,036,677,619,030,760,222,513,377,
197,182,841,196,583,531,261,724,072,869,388,571,722,348,580,154,956,841,208,
106,915,064,833,715,732,081,001,740,671,060,343,871,434,161,117,443,946,067,
197,856,923,522,283,472,784,708,042,038,946,477,228,874,737,992,990,237,391,
926,970,074,482,155,719,765,390,556,754,670,028,892,866,187,765,607,548,889,
104,707,822,130,367,639,185,665,503,343,182,370,370,557,268,567,312,706,534,
114,809,983,794,721,957,481,451,961,493,152,699,962,030,845,516,932,306,096,
287,400,857,947,231,815,999,520,605,321,520,455,771,807,091,577,989,113,770,
450,401,626,707,544,995,074,793,374,102,717,606,510,308,135,244,735,948,229,
690,370,891,211,442,147,942,100,520,525,672,074,529,663,292,691,089,647,613,
889,543,178,862,419,989,492,996,307,869,724,820,411,732,551,994,939,086,929,
063,062,734,078,056,156,548,690,787,607,718,851,874,057,236,650,375,840,145,
709,251,856,812,032,659,275,577,114,221,604,503,716,257,757,542,435,902,626,
561,537,486,516,366,268,837,767,453,268,307,677,090,952,608,923,705,054,412,
350,207,658,210,643,174,474,983,660,618,468,947,209,785,694,898,626,898,655,
840,334,503,924,441,255,639,359,124,880,273,223,208,419,871,881,638,198,131,
255,489,988,839,934,221,169,049,548,955,787,682,479,886,967,186,229,931,612,
167,680,508,399,210,135,140,329,204,440,490,767,686,904,515,464,163,490,847,
500,158,221,714,128,112,472,011,741,145,527,796,054,062,849,718,734,964,420,
719,889,151,597,632,363,136,635,026,119,789,181,262,782,365,466,965,612,904,
895,831,885,447,162,284,275,153,720,374,101,119,632,595,877,965,300,676,718,
747,510,400,572,154,786,087,557,305,430,750,255,580,385,619,870,956,484,665,
836,110,248,870,343,869,411,200,425,873,283,047,169,790,154,391,788,390,442,
763,079,540,961,270,433,888,743,032,724,662,932,177,060,777,725,777,712,528,
560,570,653,745,072,071,800,019,894,736,176,564,601,285,481,776,154,736,861,
375,572,711,461,377,269,214,633,619,434,566,270,338,066,367,746,708,675,679,
458,286,730,439,887,700,841,896,972,940,236,876,089,129,484,534,373,041,918,
184,774,060,323,702,067,531,989,849,889,334,744,585,758,564,044,630,431,451,
985,410,541,022,812,023,627,119,782,127,633,882,035,510,430,669,068,528,102,
630,287,504,866,127,940,020,580,610,312,548,137,354,998,984,580,511,560,847,
786,957,033,423,060,998,013,937,682,133,358,371,357,614,809,888,092,731,883,
942,442,033,933,001,550,841,578,574,969,650,118,325,461,264,523,310,531,971,
097,344,404,597,064,744,226,064,516,091,907,544,397,799,820,842,510,176,228,
164,036,528,384,697,009,978,234,287,371,198,688,359,546,182,919,975,209,430,
729,073,928,196,289,266,912,039,004,167,237,482,190,810,212,127,483,069,657,
547,219,234,124,601,140,860,007,033,065,190,924,098,760,597,019,242,371,444,
881,303,470,774,394,742,476,348,192,193,122,162,122,639,587,401,889,956,931,
136,885,715,355,910,228,215,072,048,767,171,649,474,898,584,666,285,243,990,
045,603,702,781,060,748,313,001,800,323,399,414,483,951,146,432,149,239,666,
700,736,706,439,557,385,131,401,691,807,849,653,087,101,466,272,213,837,184,
886,892,449,560,899,938,893,357,353,497,024,504,782,733,008,559,537,191,710,
066,995,924,196,883,903,947,343,529,047,756,054,257,078,701,280,461,837,343,
501,268,358,653,275,891,539,609,449,555,641,364,810,211,542,984,520,520,582,
425,904,491,919,821,368,573,493,014,955,741,693,130,195,361,232,830,239,855,
994,898,675,673,463,515,775,155,325,358,840,362,179,467,840,995,011,259,314,
800,743,019,241,121,429,030,241,656,015,575,623,007,097,282,698,319,165,863,
019,231,663,456,046,222,421,871,832,761,362,904,632,453,506,857,539,353,353,
595,920,586,251,784,608,233,778,859,051,971,844,699,418,017,145,275,973,702,
838,999,442,709,848,973,006,431,634,518,510,663,424,268,016,033,655,997,477,
473,542,503,976,348,724,291,742,269,556,332,466,742,378,485,606,084,838,310,
545,483,742,614,442,539,131,229,904,942,860,677,751,995,092,791,951,843,065,
793,577,880,173,878,148,064,030,939,119,272,875,512,594,486,886,023,982,392,
274,660,102,652,143,104,228,454,026,851,725,834,883,629,921,372,222,846,210,
105,397,075,314,868,694,542,210,209,014,808,253,949,939,432,365,685,089,577,
494,971,296,360,293,425,789,817,106,426,188,433,127,347,193,071,161,817,902,
130,643,365,281,001,963,491,488,664,053,203,009,283,053,001,327,070,093,153,
029,611,670,842,285,393,907,932,337,594,671,915,520,911,823,968,191,980,370,
140,828,366,223,127,796,648,350,007,325,942,206,399,123,538,134,452,726,043,
786,085,732,442,674,628,769,124,366,235,275,030,406,089,164,801,174,666,492,
038,680,790,161,454,968,254,140,187,935,565,903,380,149,626,619,571,971,333,
893,076,964,979,607,892,120,580,255,671,081,088,077,256,631,918,440,560,533,
818,110,273,199,358,482,148,372,072,562,147,347,347,044,827,816,261,872,309,
647,741,311,332,753,393,110,881,629,877,587,975,353,631,263,298,559,497,289,
106,616,269,708,960,355,249,053,071,108,174,020,569,157,894,808,102,869,284,
902,220,500,938,513,651,414,068,256,084,200,888,300,883,092,817,413,944,381,
188,181,038,955,112,950,396,186,189,671,814,029,351,450,928,857,288,970,416,
659,458,826,420,587,253,078,623,634,092,703,744,822,645,849,108,387,102,588,
259,287,833,411,802,206,900,044,282,064,938,792,874,511,680,901,945,088,032,
229,146,362,320,030,700,885,506,904,157,166,228,581,197,447,467,024,728,386,
945,370,828,315,029,560,763,375,900,725,482,296,139,284,655,993,554,805,598,
873,495,961,959,170,002,783,168,321,775,911,804,814,864,989,702,765,307,561,
807,724,418,952,946,349,322,827,080,712,022,279,834,713,144,536,499,049,609,
698,523,603,268,041,316,333,958,966,506,345,988,915,707,708,812,448,586,520,
631,245,452,101,154,069,405,578,705,460,006,927,997,517,687,932,556,428,845,
635,755,146,650,361,228,652,818,224,635,819,378,938,412,527,000,950,574,745,
326,004,523,153,928,647,445,378,936,314,232,831,526,592,259,131,301,056,295,
676,723,539,088,189,297,001,753,094,017,285,776,996,893,816,712,905,177,354,
650,535,491,172,980,614,269,525,041,436,868,574,621,101,437,893,906,768,576,
283,994,811,803,549,195,851,080,539,307,740,865,172,507,669,324,122,300,566,
553,518,698,725,816,322,195,964,122,136,003,929,806,792,632,548,013,673,229,
251,401,320,449,400,621,057,351,449,980,469,188,698,734,813,062,041,623,878,
829,188,330,166,506,859,076,048,223,716,075,473,985,904,919,139,599,900,747,
369,956,497,941,252,143,570,118,054,737,069,374,805,869,444,357,520,921,356,
111,157,333,946,357,870,019,052,803,030,229,007,757,727,518,798,814,487,344,
806,240,808,587,943,761,046,839,457,632,224,782,179,137,682,520,296,824,377,
181,212,928,722,902,864,309,856,640,864,413,872,301,156,802,269,428,154,768,
975,469,414,011,329,057,965,482,393,916,425,146,968,516,809,836,484,901,613,
977,428,274,000,004,319,138,219,260,616,101,700,741,578,437,635,572,938,047,
398,514,996,224,047,095,026,021,722,989,353,961,874,987,704,210,676,714,093,
162,919,141,864,719,459,549,240,393,240,604,186,085,483,779,806,780,709,165,
106,491,738,972,817,972,518,816,820,100,709,140,658,327,729,318,580,872,114,
651,621,792,416,065,153,957,192,460,196,871,563,723,121,192,433,730,496,586,
648,757,076,971,945,416,450,857,671,015,997,817,229,865,967,911,042,764,860,
830,433,036,704,554,160,102,529,283,554,880,039,784,707,461,841,581,469,881,
763,093,986,051,182,165,729,164,010,680,092,930,976,797,810,477,233,768,152,
655,693,231,620,570,117,096,522,710,028,065,318,314,813,998,530,705,538,962,
586,573,493,367,484,544,796,742,797,316,928,558,137,801,759,418,443,593,547,
376,454,815,388,215,283,056,571,852,341,814,162,934,843,752,849,862,737,121,
085,871,110,986,093,847,239,712,215,644,240,039,324,766,034,496,728,167,371,
144,236,788,006,999,554,411,283,961,473,745,668,370,919,853,783,022,533,858,
178,357,583,039,599,030,578,159,584,995,587,626,941,130,203,400,971,859,753,
769,788,534,001,722,490,989,657,213,579,544,676,070,058,106,343,023,962,077,
449,276,013,896,737,369,454,480,349,425,037,252,646,963,631,755,390,371,687,
570,243,098,487,346,306,907,505,241,778,573,599,066,135,113,031,719,513,836,
672,216,031,033,841,704,662,428,945,529,975,873,517,599,920,895,421,539,620,
869,497,231,970,395,032,195,902,806,995,845,451,161,720,690,147,489,278,805,
930,485,788,028,220,359,987,982,303,376,005,877,524,717,828,360,429,699,869,
620,762,552,701,585,804,714,969,393,291,491,313,597,601,018,103,940,801,017,
538,956,404,003,856,230,171,635,939,877,804,216,729,022,136,815,501,363,681,
195,925,489,856,090,458,423,785,357,314,392,768,552,754,637,728,239,046,922,
909,338,108,431,944,670,694,460,068,757,590,504,556,939,273,139,693,536,477,
899,582,906,935,041,315,658,083,799,599,352,107,323,104,592,296,638,594,595,
193,374,638,050,961,565,702,653,125,380,109,584,178,897,683,545,477,851,174,
092,540,533,971,149,185,839,296,546,252,593,279,852,345,521,416,996,476,511,
370,553,786,285,652,890,402,525,991,425,917,160,907,614,909,958,131,518,731,
778,497,481,548,898,341,120,293,617,656,974,907,033,588,550,153,230,072,319,
578,473,765,761,405,243,920,908,491,073,663,312,206,291,847,648,444,632,743,
965,212,796,133,312,385,182,626,229,596,450,547,927,662,391,121,729,282,402,
336,704,608,728,551,718,061,132,800,145,810,014,765,105,846,051,086,174,052,
638,274,901,700,719,422,636,638,029,095,350,542,778,781,248,729,477,841,105,
728,172,050,933,764,663,470,112,018,363,883,509,054,434,152,681,468,765,860,
984,668,764,830,430,658,371,284,104,436,662,372,587,786,609,891,316,613,561,
661,759,030,958,668,565,653,324,623,228,904,221,788,044,762,540,149,904,960,
221,658,481,467,235,347,676,678,248,743,471,462,486,584,043,798,217,928,059,
601,771,053,440,163,309,498,759,729,644,460,482,395,466,987,270,221,439,717,
458,235,668,701,532,103,670,801,906,976,521,190,457,143,143,824,540,197,379,
735,433,643,844,106,845,649,600,288,457,642,544,562,109,193,735,143,520,556,
317,308,891,260,063,605,804,996,520,460,558,045,939,588,604,800,087,739,711,
682,087,531,750,411,215,137,387,127,438,259,986,068,116,558,758,573,445,238,
575,625,232,520,349,732,921,254,437,372,562,166,878,925,766,939,521,631,220,
531,685,386,383,873,112,313,008,558,529,901,329,706,059,168,813,996,453,414,
711,931,744,592,765,567,591,633,992,425,304,152,440,444,060,815,086,313,345,
457,997,924,896,693,381,794,335,849,106,043,499,328,210,060,647,408,017,364,
772,629,546,787,695,398,794,924,345,063,275,086,049,835,832,805,120,218,305,
009,456,516,141,181,887,172,178,744,241,390,178,828,397,272,474,249,507,427,
808,228,423,280,913,482,753,143,258,007,810,911,620,002,837,225,933,529,090,
728,165,405,151,679,997,814,858,243,765,407,400,335,924,866,239,369,183,592,
673,043,367,542,531,848,550,021,070,306,070,291,241,837,343,342,196,714,638,
253,962,184,051,611,531,198,677,259,016,659,649,718,818,907,929,843,630,098,
793,037,172,214,145,626,573,016,198,594,685,694,560,870,718,245,714,065,380,
218,923,903,095,741,680,223,313,397,419,213,554,817,666,430,408,717,674,271,
498,680,719,138,969,597,922,524,995,924,651,125,642,456,657,684,284,266,918,
257,417,140,937,609,980,811,405,174,614,233,504,701,011,763,595,617,099,101,
777,718,177,148,563,872,410,223,752,787,469,789,102,342,503,546,350,261,051,
193,736,165,285,932,456,727,138,779,403,530,646,335,020,688,686,670,790,586,
082,456,164,527,798,272,129,666,196,886,542,001,043,054,162,079,750,582,865,
162,770,113,426,583,116,086,993,005,352,543,316,205,347,887,905,316,512,754,
433,322,532,654,036,129,342,224,556,302,793,101,197,764,880,192,888,882,913,
454,529,793,886,774,114,034,566,206,348,468,378,876,323,391,423,335,315,770,
429,686,183,095,863,506,107,629,088,575,156,359,520,763,010,611,999,754,798,
186,246,454,746,740,431,593,335,665,371,467,687,673,940,746,324,734,724,146,
617,800,107,347,536,924,873,860,885,316,644,164,336,766,607,517,054,382,597,
341,258,485,803,476,229,749,132,711,652,904,592,213,082,629,465,616,606,919,
194,809,156,650,698,399,845,406,369,427,254,449,154,638,791,191,584,030,422,
433,659,533,899,473,031,725,820,782,498,671,516,970,221,542,572,985,697,258,
124,702,631,363,454,666,732,057,043,309,887,825,876,105,607,000,575,510,595,
255,586,409,728,962,230,029,521,722,566,765,263,225,845,919,227,328,666,111,
032,681,854,813,185,534,695,498,033,386,047,788,997,880,180,848,078,621,251,
528,197,702,482,999,665,316,180,551,806,001,731,280,328,911,393,381,726,980,
711,570,411,903,566,892,619,506,594,137,180,500,762,944,168,073,494,259,107,
204,406,527,009,527,100,404,604,358,001,328,024,950,209,632,516,923,741,792,
560,998,358,578,485,624,998,753,357,205,651,761,758,657,421,036,178,502,373,
165,422,845,166,504,973,324,425,072,438,713,916,308,851,925,094,480,470,745,
627,143,052,518,906,101,324,615,662,081,160,110,190,132,026,278,180,712,037,
569,163,209,127,886,743,024,722,177,015,047,921,297,049,009,092,649,194,485,
014,716,810,125,604,771,308,992,575,785,001,176,032,653,976,042,798,265,194,
171,963,085,701,542,458,753,346,174,394,903,260,983,899,236,412,982,035,445,
996,296,082,202,939,075,947,325,622,375,157,172,211,804,792,254,704,717,935,
876,592,967,562,809,244,795,553,145,613,247,877,169,282,750,189,907,369,078,
321,982,971,202,644,992,196,722,105,465,682,383,896,207,721,502,122,969,036,
027,287,606,296,879,703,233,110,015,578,070,063,100,440,684,511,547,703,582,
533,366,852,188,843,362,631,572,230,246,786,994,364,112,501,193,682,355,012,
685,828,387,415,339,544,359,790,203,002,599,369,684,319,726,701,391,509,433,
765,078,442,799,846,442,023,587,797,927,651,010,563,437,257,453,847,160,405,
967,068,011,828,115,646,464,318,516,004,766,248,064,366,501,711,754,562,104,
884,508,889,987,815,565,369,827,302,336,153,217,766,447,448,583,925,401,875,
543,911,048,478,660,395,239,826,882,514,049,790,432,521,081,890,164,017,482,
986,868,333,951,273,400,939,107,414,025,630,072,719,475,595,382,388,374,521,
537,664,105,058,616,033,232,100,380,684,957,889,077,427,874,969,486,427,095,
487,687,554,647,964,162,064,368,242,473,500,545,895,879,942,486,973,165,713,
284,178,434,595,325,397,974,313,105,078,954,073,375,166,707,781,420,063,834,
525,487,843,033,346,878,056,788,378,617,288,127,384,245,418,758,711,404,985,
047,352,514,879,361,673,190,236,170,072,999,650,840,713,029,113,781,692,746,
948,606,092,330,505,062,664,335,934,326,629,716,106,810,806,655,850,602,693,
691,097,221,848,394,541,413,884,787,044,735,968,146,847,825,914,705,283,821,
801,403,549,955,986,593,521,942,699,699,379,426,728,344,501,041,535,558,118,
881,615,258,114,699,935,572,833,963,413,407,746,879,062,486,951,724,869,438,
966,392,085,643,586,638,359,562,191,799,976,249,698,885,064,176,176,072,215,
638,473,803,826,696,499,702,719,865,758,786,620,811,507,974,030,631,033,120,
090,144,034,508,637,891,702,729,381,883,819,167,858,245,458,537,393,972,134,
608,470,414,070,347,346,956,740,301,609,226,764,907,427,529,509,350,045,661,
875,465,514,185,467,451,931,719,210,453,980,476,298,063,306,075,745,015,362,
840,126,243,087,178,479,991,650,581,132,489,359,753,612,312,161,155,420,298,
717,951,035,760,883,952,158,690,632,698,821,650,271,458,418,809,592,753,595,
220,120,320,317,849,883,211,720,735,874,649,308,252,116,448,993,331,790,061,
320,106,045,727,804,639,988,746,808,743,324,322,558,647,780,311,029,252,037,
678,213,578,565,271,660,364,609,765,565,822,002,177,950,630,120,566,511,807,
661,729,892,832,901,589,258,554,842,140,669,476,953,906,963,717,910,229,393,
393,834,530,281,108,929,298,811,583,223,349,212,165,779,140,630,282,430,650,
290,335,494,098,619,323,081,805,720,872,958,025,014,541,921,028,470,590,907,
345,562,420,225,825,560,243,600,284,423,572,510,220,087,173,386,257,728,309,
219,311,382,923,857,432,276,535,759,981,298,152,291,944,860,078,114,071,232,
419,170,906,723,768,967,701,122,589,378,176,326,911,064,068,276,760,436,515,
553,225,180,442,206,098,631,338,668,842,115,254,468,035,640,095,719,137,057,
279,155,113,296,325,513,299,377,468,835,384,979,025,366,330,337,293,127,067,
028,793,552,266,049,060,473,490,965,776,151,665,709,145,308,201,102,536,605,
953,777,043,492,269,067,140,818,633,979,822,664,489,516,485,870,002,466,127,
214,956,992,937,666,279,846,737,546,683,977,999,213,888,893,297,497,922,440,
648,502,504,154,769,304,087,048,079,070,268,497,932,914,199,841,208,959,885,
605,220,127,719,786,818,361,242,788,543,725,858,395,004,935,083,145,758,446,
228,665,706,532,163,886,223,710,354,407,276,701,104,967,073,184,911,066,693,
561,319,323,501,830,663,530,700,761,205,080,126,550,298,071,470,298,943,490,
377,344,276,857,989,417,549,819,474,561,728,486,098,940,544,560,564,630,580,
826,038,099,327,187,818,085,691,062,112,697,237,981,229,354,517,713,756,178,
674,377,030,332,649,222,291,420,631,020,185,753,822,774,101,142,997,676,549,
270,948,618,859,503,581,095,810,958,604,183,651,354,088,444,265,156,161,743,
679,475,215,531,136,520,710,607,074,319,735,837,638,735,192,851,034,891,393,
975,807,743,935,237,137,759,447,727,287,633,009,863,573,667,101,667,329,936,
611,377,201,125,331,617,636,617,474,468,370,942,743,585,628,441,219,856,427,
284,164,762,132,997,688,434,092,179,533,004,543,973,334,273,657,553,922,581,
807,738,234,176,000,274,779,292,917,571,497,623,453,418,476,884,815,486,715,
478,374,424,877,736,479,101,890,137,298,065,057,388,269,148,217,740,586,417,
287,959,293,254,868,387,807,096,952,401,938,856,426,383,587,634,130,487,658,
885,989,865,973,141,982,270,686,833,483,083,082,536,418,940,146,707,927,692,
380,000,223,281,554,100,172,565,741,385,443,351,827,479,891,927,421,750,147,
469,877,258,172,425,480,961,288,047,618,795,180,443,113,197,280,064,951,066,
911,116,957,348,433,885,057,583,593,477,915,582,047,432,590,741,585,101,997,
317,364,219,822,867,973,811,974,897,561,365,921,459,616,523,216,881,599,556,
349,965,941,653,046,773,979,920,043,420,229,973,094,218,607,948,873,876,841,
082,003,542,147,958,100,084,879,775,370,116,090,906,750,636,738,641,738,078,
247,869,144,034,717,055,998,020,280,364,914,903,467,637,829,595,784,024,957,
042,343,168,171,271,494,774,525,760,728,614,283,520,922,897,940,500,309,030,
840,727,362,592,928,021,374,483,998,950,642,307,449,483,682,101,290,832,050,
309,250,984,029,499,595,192,321,351,464,024,158,963,188,543,198,913,418,180,
171,566,766,804,229,041,978,671,268,119,321,188,070,366,882,052,770,477,849,
024,882,141,843,308,840,662,538,065,890,889,757,141,287,934,015,391,688,192,
024,726,488,930,038,757,898,829,026,713,750,156,772,402,628,604,023,058,877,
881,800,826,005,436,548,004,338,961,222,996,564,716,181,949,829,706,848,411,
683,332,839,484,211,078,127,807,804,424,453,468,161,492,881,924,910,191,833,
333,488,819,640,933,354,109,503,870,142,814,942,484,817,621,401,062,959,501,
568,538,056,687,919,496,074,481,618,946,191,641,145,401,674,927,558,886,170,
123,442,853,552,216,352,277,712,154,737,354,138,794,658,159,556,403,530,378,
394,457,460,053,043,291,516,675,714,977,259,665,882,194,014,790,225,672,196,
459,150,295,039,745,896,151,268,985,475,088,472,624,489,553,334,425,894,744,
149,351,572,062,321,170,851,000,497,943,355,547,233,704,478,946,915,307,299,
591,953,911,881,440,818,845,483,539,171,291,947,189,603,857,600,908,784,045,
790,829,743,000,381,845,617,307,922,642,191,491,467,418,431,500,266,266,407,
891,020,396,102,127,543,528,497,162,348,027,545,633,756,570,800,367,306,048,
931,780,384,959,868,912,335,612,984,067,098,974,340,839,379,023,009,101,696,
828,618,032,581,839,595,184,895,094,877,058,811,804,244,273,406,583,354,820,
151,071,590,362,541,133,241,942,405,067,611,672,168,599,283,894,288,070,924,
624,067,131,666,132,600,383,602,420,636,966,398,125,810,340,466,300,256,152,
866,629,423,308,437,565,402,965,898,778,905,468,865,915,455,712,501,602,299,
845,281,255,573,103,058,711,739,139,796,234,984,586,446,021,659,394,536,986,
788,177,565,047,535,341,318,516,803,824,669,265,956,388,094,809,996,690,059,
869,016,552,863,194,653,265,084,260,648,987,067,394,446,852,048,853,493,014,
399,901,313,961,383,299,093,752,792,984,284,800,317,151,758,023,362,375,400,
889,714,895,553,686,293,343,125,467,077,763,606,576,277,216,782,142,628,214,
293,814,066,039,484,584,537,985,584,300,804,077,675,467,678,469,421,792,243,
331,040,348,987,698,231,145,647,180,445,154,101,507,815,864,152,968,743,585,
606,906,438,192,280,667,245,453,573,956,178,403,543,446,401,335,730,376,569,
745,094,897,531,096,531,756,540,455,566,262,314,568,776,155,642,176,541,581,
452,342,572,153,572,416,512,627,986,524,128,365,355,640,631,283,477,026,126,
471,500,084,330,436,632,202,972,512,593,700,473,893,999,512,112,862,260,341,
800,568,243,330,732,533,741,698,927,668,410,310,911,177,597,519,624,165,789,
369,357,846,843,615,481,447,958,100,546,664,806,000,204,405,706,751,130,703,
212,826,533,482,020,684,249,946,103,715,661,399,098,876,166,365,678,110,624,
302,255,971,975,578,376,845,456,611,574,707,873,761,914,529,808,111,732,459,
269,487,354,436,531,153,149,409,267,006,731,612,912,963,634,877,425,663,502,
764,287,405,297,869,956,290,023,792,674,958,973,087,683,766,035,101,294,447,
884,308,189,738,069,431,024,218,052,119,582,878,112,975,964,749,220,524,814,
445,696,188,614,132,729,131,677,374,711,927,806,986,231,018,628,012,551,459,
424,222,661,702,202,646,272,047,122,521,084,800,372,254,272,733,487,548,394,
512,201,812,423,612,866,631,143,886,349,433,058,655,681,001,323,911,013,691,
222,873,059,366,562,213,509,360,991,747,997,813,641,072,549,163,223,873,710,
412,492,465,831,970,346,713,122,162,794,305,117,227,857,840,888,795,632,037,
165,877,965,771,857,910,741,371,751,733,396,103,255,385,084,247,781,846,889,
400,211,416,947,659,435,554,380,931,780,826,637,412,358,299,172,185,671,435,
456,503,609,669,806,195,644,507,302,309,582,360,672,599,718,814,307,026,791,
048,788,710,261,584,277,377,762,290,063,450,331,654,476,664,771,383,612,977,
136,810,214,634,764,577,184,138,155,959,275,691,078,910,155,133,979,101,504,
689,940,695,832,952,122,303,697,289,282,022,427,499,992,789,460,062,195,722,
884,157,634,787,274,806,888,048,178,318,198,290,456,518,054,079,020,600,370,
215,588,549,330,148,179,952,713,881,794,792,345,217,375,382,319,435,257,162,
917,518,182,468,410,325,216,223,794,280,337,302,075,780,921,362,650,486,955,
458,524,893,446,717,981,728,004,635,195,338,675,904,087,603,632,181,499,582,
249,235,819,489,738,950,243,804,556,930,110,245,019,169,039,378,718,787,541,
956,762,007,860,738,831,723,857,017,679,888,073,913,123,070,817,443,259,844,
734,435,420,508,172,224,547,290,056,854,768,983,898,904,803,604,667,957,861,
120,725,191,036,302,758,577,641,702,525,682,551,164,378,897,245,758,272,247,
464,969,944,645,889,373,397,231,734,528,599,077,205,944,403,656,298,280,941,
417,505,216,223,938,587,080,690,935,280,409,317,826,187,974,781,384,020,057,
391,447,526,231,149,498,706,159,224,619,949,815,716,734,172,273,806,743,325,
524,637,506,498,869,871,363,784,628,055,371,039,587,823,755,184,446,445,907,
252,094,147,093,589,121,754,564,762,045,135,287,854,959,285,841,892,461,247,
699,201,767,199,167,063,783,287,656,524,472,327,191,528,474,524,615,677,596,
385,484,550,724,911,934,475,476,391,327,603,232,936,520,621,877,780,200,015,
227,240,510,969,696,785,223,461,170,315,771,616,363,340,279,598,540,114,570,
881,385,574,779,177,242,734,809,355,988,432,981,974,061,217,067,410,969,722,
428,443,634,108,372,949,041,958,683,546,167,896,258,839,593,259,383,385,369,
023,817,252,498,142,364,003,700,247,394,135,152,881,281,776,560,025,808,178,
416,646,633,129,506,671,357,816,371,580,439,717,008,174,859,312,733,607,739,
674,400,858,804,560,486,798,886,736,165,456,428,115,766,442,138,187,288,396,
487,859,232,841,383,378,866,329,305,717,775,246,731,054,215,014,013,372,912,
715,413,732,706,424,269,008,091,292,601,457,349,891,153,265,123,710,253,861,
046,958,667,706,589,227,600,051,689,069,243,728,076,545,994,422,317,441,913,
126,530,863,207,294,460,962,018,753,553,348,192,871,801,728,964,792,290,714,
628,883,685,892,663,139,672,167,524,974,848,712,582,673,105,005,164,925,564,
406,323,846,422,898,575,457,181,792,857,931,531,037,354,351,796,714,650,496,
449,777,797,052,212,694,541,969,980,980,182,870,298,051,252,261,162,747,089,
866,208,339,133,512,560,751,486,461,829,834,801,345,427,529,712,057,305,527,
668,805,124,563,165,360,095,875,198,462,171,926,200,116,745,694,464,651,694,
204,948,419,103,159,397,970,932,846,431,320,362,269,122,170,698,213,031,725,
999,354,377,468,979,198,141,878,609,848,864,482,947,716,323,675,573,524,812,
428,628,992,743,588,008,406,938,149,628,409,871,963,776,945,181,862,269,158,
716,372,606,869,654,925,473,651,520,224,355,304,262,157,944,865,621,040,062,
760,902,319,700,224,016,487,565,192,020,211,052,668,818,084,203,483,587,957,
474,664,036,990,753,271,731,580,039,256,123,696,041,639,326,135,547,563,884,
991,171,827,707,361,365,149,601,619,280,642,609,357,215,569,190,292,477,819,
884,663,795,920,802,466,369,251,461,416,210,414,264,539,756,146,642,991,317,
268,290,166,208,434,708,033,314,134,817,954,060,961,086,251,613,825,789,927,
296,119,826,471,223,556,694,977,379,247,639,658,600,098,005,685,173,105,770,
222,549,330,443,809,791,606,678,054,636,124,743,360,084,997,827,359,557,553,
427,822,651,496,694,619,028,669,304,200,550,062,120,248,073,309,605,431,518,
715,087,863,803,730,035,804,001,815,654,148,584,205,607,977,496,407,419,683,
027,451,898,157,894,004,472,124,871,201,875,059,570,774,229,820,767,299,094,
708,373,917,861,188,785,362,086,036,114,477,922,933,498,074,217,399,320,355,
344,216,316,154,970,555,571,122,480,163,228,769,469,400,271,589,770,566,511,
270,224,227,312,593,844,831,674,305,327,772,692,443,386,794,551,162,363,893,
843,549,386,177,771,032,521,694,153,174,271,162,118,918,216,837,344,728,198,
714,080,364,557,668,815,765,598,460,378,081,617,186,148,349,703,784,806,571,
781,277,197,450,321,631,288,342,800,105,245,743,763,307,160,908,789,168,939,
860,205,091,421,571,749,691,775,384,645,505,540,623,027,759,727,097,199,040,
514,506,719,600,923,059,990,852,370,726,118,608,435,435,961,946,321,407,631,
724,370,281,655,485,883,804,318,949,250,756,050,762,383,137,708,417,041,694,
712,073,323,187,130,654,991,768,286,903,407,193,454,143,226,892,752,459,375,
828,303,824,321,493,869,471,440,013,725,581,032,246,260,551,881,981,012,133,
536,475,374,671,486,441,778,821,809,311,188,459,207,591,052,964,321,294,749,
745,689,764,317,901,828,378,218,788,713,698,099,923,690,941,172,102,222,060,
974,417,652,552,915,544,593,151,855,728,470,207,405,637,623,446,995,018,193,
125,880,453,357,341,937,265,944,948,158,931,403,921,137,290,611,185,466,783,
923,793,779,755,811,387,996,925,517,870,293,554,096,155,985,488,445,250,083,
775,779,075,535,327,155,594,221,827,705,355,382,065,858,887,069,135,596,270,
695,444,925,443,738,925,042,132,704,464,454,117,233,902,776,513,468,778,842,
020,778,449,838,684,520,550,939,407,432,854,601,333,586,828,335,658,145,554,
218,210,799,134,255,691,056,334,243,610,618,006,142,410,808,653,456,235,414,
214,695,754,097,789,065,866,384,078,054,476,323,614,828,157,470,006,913,983,
481,404,016,661,060,096,525,464,473,927,531,526,772,938,046,259,178,189,530,
877,680,391,070,181,959,662,085,683,704,093,623,141,364,860,065,302,223,380,
590,702,668,773,828,105,127,002,631,212,488,353,464,826,461,789,875,126,287,
923,010,293,885,869,530,715,581,942,684,297,581,915,687,777,883,009,300,591,
852,825,306,679,889,770,570,305,726,481,244,676,916,551,709,800,601,990,607,
810,550,691,620,493,287,964,531,423,385,829,214,289,355,324,846,833,200,668,
708,674,117,147,357,565,029,636,830,135,413,841,385,929,544,292,631,483,405,
711,405,334,346,165,327,019,887,572,711,995,545,099,056,309,438,362,036,072,
672,180,115,008,323,350,729,549,568,519,430,396,341,950,714,274,611,634,861,
145,950,406,122,691,209,993,563,126,702,718,689,359,760,466,883,155,553,058,
466,102,419,858,642,793,588,095,763,444,328,196,861,337,735,430,005,618,883,
453,434,691,175,000,060,522,408,896,206,122,826,857,289,922,426,473,125,231,
752,516,602,895,501,709,770,135,881,299,646,733,383,662,939,602,006,393,422,
519,060,140,544,311,781,075,735,729,309,776,007,316,425,227,132,842,088,157,
986,912,509,551,206,566,128,039,367,587,085,032,440,372,504,037,787,648,753,
864,672,908,064,843,563,248,255,646,771,221,573,865,442,447,805,921,917,396,
629,427,546,852,679,061,747,616,282,356,900,232,507,119,853,472,571,079,211,
700,467,831,324,354,711,978,556,391,056,214,501,322,937,414,998,572,842,572,
356,633,801,575,871,088,671,624,611,853,005,475,246,970,023,773,036,865,573,
775,727,967,172,727,896,678,398,861,390,122,055,049,643,961,121,013,645,858,
884,052,385,918,506,218,851,625,312,951,520,021,836,091,543,741,842,593,246,
930,048,253,003,088,761,674,187,961,298,794,338,665,050,789,076,367,409,955,
552,549,259,704,310,396,036,734,794,871,472,895,973,279,400,264,879,069,153,
845,642,465,785,637,251,625,664,486,932,706,771,628,013,379,131,304,156,853,
495,044,812,637,706,626,005,842,019,828,029,398,002,889,799,539,888,681,848,
357,623,010,435,443,183,407,320,627,199,846,331,276,748,488,240,795,240,161,
870,111,377,459,392,123,686,251,877,807,317,678,040,283,115,568,204,924,029,
698,930,537,562,733,237,496,717,160,439,721,066,948,940,835,789,065,220,012,
791,609,272,426,497,488,579,620,875,547,482,141,043,954,508,204,012,359,978,
552,287,972,199,635,220,516,789,436,769,676,142,134,585,430,767,757,259,548,
763,582,854,196,402,879,604,797,125,436,512,871,683,276,779,963,385,353,559,
235,483,944,591,577,495,685,066,096,052,185,148,094,459,520,200,819,188,905,
755,747,966,308,139,893,510,842,654,115,594,681,738,418,044,722,829,434,856,
008,902,617,136,294,195,260,925,893,365,204,644,754,208,989,735,748,699,652,
058,606,256,214,942,365,914,981,892,039,198,615,930,672,683,183,225,246,002,
952,585,912,786,569,150,711,543,593,579,378,633,259,054,559,997,647,875,159,
517,168,892,069,639,484,825,362,560,018,777,036,553,294,504,650,566,545,081,
162,133,561,021,294,356,735,798,043,962,763,099,996,755,319,013,506,872,956,
609,356,936,507,650,109,659,156,993,739,786,414,670,848,042,917,647,927,626,
957,927,488,541,108,523,468,629,633,761,860,979,982,517,262,547,193,339,673,
146,274,793,422,490,676,024,098,588,381,269,959,118,463,667,327,219,388,690,
809,471,923,591,378,587,175,517,027,836,150,073,601,214,025,422,119,405,365,
089,698,476,136,789,384,009,497,611,874,962,801,863,406,884,124,892,516,019,
800,097,619,008,509,524,776,451,938,193,610,026,266,416,960,929,441,221,055,
134,830,878,284,448,097,860,873,608,717,296,460,451,810,168,670,640,498,907,
194,408,123,809,036,521,905,277,968,584,448,303,891,241,923,784,795,581,358,
528,100,208,847,845,605,612,382,342,784,168,369,272,741,355,415,726,576,536,
841,414,861,065,018,321,456,271,556,801,707,632,914,242,539,184,079,002,312,
199,685,426,735,040,350,841,405,766,202,947,562,612,661,442,468,230,749,011,
046,060,645,404,527,915,519,020,957,540,598,067,549,249,123,927,510,500,894,
925,684,886,640,105,681,797,888,284,297,995,391,302,922,824,382,881,249,602,
015,514,436,225,078,027,440,781,405,708,275,837,489,085,337,158,164,286,925,
195,007,073,378,641,342,464,399,904,246,988,992,736,709,774,191,500,275,871,
468,822,491,356,294,207,528,301,714,512,998,893,859,858,282,849,960,017,875,
582,179,627,709,313,401,806,022,439,743,733,162,297,550,327,956,891,689,029,
373,954,579,725,258,252,012,028,422,345,906,382,743,164,472,937,422,506,313,
508,451,872,351,150,288,644,898,051,549,419,223,446,098,726,202,336,710,796,
117,301,523,520,882,140,686,763,155,133,428,194,882,426,107,265,427,291,629,
796,298,819,154,039,452,604,417,920,810,816,022,520,839,614,880,665,442,567,
875,271,387,868,178,548,387,931,474,408,054,466,725,088,505,854,081,677,392,
991,340,091,640,635,753,177,886,286,397,118,670,285,660,241,603,239,378,331,
993,261,847,760,595,608,329,212,284,285,747,390,245,232,664,571,726,671,481,
808,411,123,717,575,155,778,344,949,568,972,123,726,418,909,016,011,781,864,
216,968,931,185,999,293,372,874,961,038,017,512,502,550,129,902,972,156,935,
457,947,478,123,070,319,745,254,670,984,831,532,993,359,393,595,003,974,237,
260,744,374,730,227,533,185,671,285,584,049,306,383,604,170,590,277,093,622,
210,855,631,311,779,199,523,731,027,254,977,378,409,725,707,517,543,838,196,
668,402,607,922,492,576,606,475,372,495,942,703,284,943,958,182,079,084,691,
313,514,893,226,377,673,823,183,979,796,623,572,845,355,529,025,543,390,652,
299,316,950,295,668,320,404,685,206,003,765,048,680,236,416,049,092,391,662,
945,882,950,915,820,861,897,914,612,077,177,735,423,633,601,284,694,973,878,
898,787,524,068,231,482,359,446,426,330,930,456,031,008,479,851,149,195,171,
367,620,750,500,930,848,633,597,121,891,908,150,629,477,039,656,591,478,529,
726,093,605,751,919,875,260,497,227,027,174,849,699,988,459,987,269,086,509,
817,965,427,101,898,474,964,944,074,177,159,270,891,220,215,061,937,971,611,
678,625,635,850,765,739,559,937,656,332,274,353,006,267,190,014,647,064,189,
430,760,143,557,030,336,394,570,992,368,585,781,371,013,658,834,421,292,916,
695,422,865,314,923,616,080,825,220,620,235,556,145,581,845,554,254,909,041,
553,816,469,515,987,115,688,238,069,372,335,095,535,068,668,809,778,991,491,
599,966,423,411,270,027,552,807,991,198,750,409,290,625,900,794,504,517,769,
403,557,535,588,154,922,422,899,809,527,990,006,669,855,714,010,331,563,175,
183,389,181,238,725,866,856,231,365,048,386,780,274,094,068,395,925,511,849,
460,821,257,534,930,816,921,950,805,419,769,956,761,353,816,174,930,326,874,
527,808,930,923,731,059,715,352,095,458,603,638,368,093,052,924,655,535,427,
688,267,050,538,502,026,728,217,274,514,546,783,161,778,818,451,974,797,618,
086,242,824,055,819,306,205,859,171,521,403,639,540,175,453,351,908,995,655,
582,865,929,165,104,835,189,158,826,939,622,321,737,678,581,828,669,850,317,
557,053,816,615,685,821,171,934,683,495,486,927,428,174,215,391,462,340,780,
659,046,971,882,156,889,198,028,519,567,741,875,632,880,200,528,184,480,622,
416,088,055,799,701,718,248,897,301,033,811,213,127,909,037,535,317,688,610,
247,109,494,224,195,831,110,026,970,508,271,505,191,074,530,798,846,730,563,
597,540,854,015,943,501,921,376,111,888,439,335,900,629,866,262,621,040,640,
439,107,219,185,875,183,760,468,857,650,522,697,568,419,980,042,549,765,019,
530,528,809,784,460,591,268,583,285,389,693,858,711,746,212,096,779,643,762,
063,980,967,052,646,382,742,913,117,328,374,045,736,278,209,751,932,654,704,
662,101,916,322,713,741,605,522,708,061,335,347,943,712,932,773,153,114,893,
530,985,934,854,401,052,468,596,721,155,235,426,450,095,236,965,150,701,764,
229,109,140,513,349,141,170,990,932,299,929,812,307,964,826,992,217,276,645,
367,421,423,637,782,270,387,903,561,317,790,179,414,956,527,186,587,356,544,
115,386,496,948,947,114,548,232,160,587,697,193,633,822,181,464,330,681,222,
555,597,083,107,782,501,056,298,544,135,788,311,295,262,304,471,599,296,368,
318,568,129,928,941,433,706,591,994,484,722,897,089,342,940,397,199,342,564,
857,983,262,209,820,630,157,853,772,569,579,438,311,835,767,377,475,346,461,
313,577,623,613,797,487,401,669,289,257,582,215,107,226,985,919,700,031,146,
553,285,524,228,293,548,621,481,506,251,143,558,169,402,975,697,100,993,548,
481,144,603,877,632,540,714,399,272,657,329,765,795,479,578,564,180,420,698,
169,468,842,003,085,231,613,925,199,650,319,234,982,218,485,817,459,179,113,
302,964,345,451,699,232,987,029,532,987,738,870,817,729,151,656,960,727,775,
971,883,958,902,177,643,166,599,821,655,707,690,023,675,405,268,777,154,855,
620,279,444,708,101,203,318,976,662,899,807,510,384,715,995,857,289,452,706,
379,819,528,951,561,203,501,070,619,429,315,482,605,347,285,236,495,402,375,
328,663,368,799,196,100,994,506,158,437,515,366,658,126,369,662,753,425,156,
704,271,347,266,977,207,047,953,703,315,729,849,997,385,393,802,662,039,913,
003,064,418,118,399,201,865,010,471,869,898,878,640,609,994,859,801,977,735,
314,272,909,986,134,628,202,804,708,537,753,580,718,259,199,821,857,185,299,
476,747,812,841,906,210,372,861,720,262,255,566,460,719,989,041,344,861,870,
571,410,820,022,243,779,933,960,482,220,018,328,350,173,183,495,697,833,396,
813,080,443,542,633,820,252,501,224,614,597,532,537,770,781,570,870,416,386,
751,519,521,890,215,457,577,835,562,955,858,071,753,610,284,214,812,224,941,
941,613,880,701,090,150,857,820,141,231,886,881,949,510,060,882,526,335,016,
814,140,745,793,271,851,252,198,366,310,346,038,598,793,333,125,619,543,604,
925,955,499,254,242,103,651,979,456,868,063,463,103,046,331,206,736,601,285,
583,119,925,285,576,308,420,651,495,470,692,009,794,251,055,762,998,332,427,
584,612,733,688,900,343,623,441,251,323,375,450,845,288,609,466,062,614,081,
975,173,896,819,792,435,288,234,171,272,947,008,123,038,684,442,477,265,115,
468,352,292,487,999,714,632,443,049,819,291,805,619,263,140,232,078,537,094,
577,419,761,827,644,966,593,026,435,972,425,549,674,237,789,654,567,414,132,
193,539,534,312,971,422,939,071,137,979,139,412,373,414,322,526,452,671,714,
555,422,874,969,084,304,186,127,278,514,749,983,735,109,891,347,879,488,633,
575,908,066,487,522,619,229,848,188,088,547,113,724,109,265,309,562,423,656,
846,486,006,270,015,696,884,721,889,352,540,118,278,411,770,285,109,351,480,
099,116,339,874,129,836,021,515,903,915,900,489,734,891,553,756,321,161,864,
897,729,076,644,299,588,810,284,297,402,839,512,426,648,446,036,382,771,609,
013,124,513,620,410,067,709,421,331,011,383,544,431,400,640,601,975,143,799,
021,684,179,013,183,218,016,554,183,319,508,295,247,133,116,361,393,855,862,
190,743,934,654,853,274,835,692,098,633,348,157,302,983,000,131,340,660,550,
388,548,602,602,839,284,842,734,989,193,309,783,318,433,454,105,788,031,038,
315,951,066,415,504,126,432,313,318,447,529,347,231,962,264,302,670,065,363,
670,515,448,758,133,667,404,611,720,199,050,999,632,231,631,842,924,746,957,
775,288,322,666,809,456,050,429,397,587,060,741,330,349,542,875,438,265,674,
530,434,041,421,539,437,324,792,475,096,168,607,800,700,058,011,822,966,735,
502,384,472,069,246,553,059,723,754,246,044,005,221,434,559,461,393,369,073,
401,012,208,800,399,223,283,553,720,734,927,955,468,011,154,645,768,391,542,
902,722,770,913,495,593,370,932,833,173,301,761,156,681,517,435,768,367,969,
589,200,835,508,515,182,728,783,565,894,536,957,916,547,016,007,672,519,953,
485,104,291,955,721,801,738,154,160,666,779,126,567,668,665,639,141,145,925,
327,803,779,032,166,561,941,492,717,424,175,633,392,385,149,300,852,748,575,
748,025,558,775,916,051,187,490,166,113,743,865,070,869,848,417,880,173,865,
466,018,340,020,111,959,291,032,102,093,212,793,474,624,698,734,983,209,840,
104,535,288,122,423,090,986,762,929,334,627,039,512,421,584,821,211,665,320,
424,452,006,719,199,381,364,188,823,739,046,993,674,808,581,401,375,844,600,
835,853,664,237,778,726,433,610,792,851,058,475,503,184,599,680,642,472,599,
149,482,188,131,546,736,303,255,488,665,526,502,165,037,813,821,676,731,686,
532,658,532,366,420,411,692,862,229,822,120,149,335,381,871,012,480,571,059,
747,175,116,842,753,415,215,940,572,125,452,576,509,322,480,670,348,404,197,
090,196,895,762,285,198,330,759,308,550,362,523,322,900,234,887,775,554,305,
908,161,474,226,003,291,313,933,120,268,492,468,622,316,030,627,078,473,580,
002,283,930,513,943,675,590,166,779,629,558,292,483,906,862,071,463,654,985,
478,860,090,767,914,782,014,246,564,331,316,607,239,021,900,580,337,187,432,
983,537,301,414,599,465,564,454,318,462,954,064,478,512,570,482,207,679,949,
203,119,533,653,469,399,247,470,841,412,863,679,384,327,973,465,302,670,336,
805,540,345,256,148,793,991,401,613,367,343,247,366,942,031,499,887,319,179,
305,488,340,231,584,396,194,792,601,162,801,339,828,108,026,522,376,468,833,
467,242,439,997,237,921,293,363,705,121,651,918,183,613,200,941,269,557,614,
118,918,802,613,996,413,707,234,529,204,174,730,467,286,500,379,722,765,106,
297,556,454,982,273,725,907,897,440,746,579,567,489,095,098,879,549,012,297,
468,300,280,107,957,075,160,824,604,638,009,621,690,985,616,217,880,771,350,
605,004,596,965,120,901,943,483,737,941,063,003,687,730,119,475,575,990,051,
795,010,033,457,524,083,041,341,182,923,831,951,496,343,273,462,340,984,477,
164,160,489,037,169,198,690,412,826,280,842,875,317,427,712,360,254,004,135,
774,424,473,289,595,055,936,073,719,377,227,826,150,742,325,154,803,491,926,
592,716,897,066,722,697,534,731,405,713,024,996,939,278,855,350,994,514,736,
699,888,400,516,438,716,606,051,804,254,881,231,650,489,404,924,846,257,180,
341,578,334,210,421,021,708,073,500,781,162,009,438,752,248,449,016,736,576,
217,114,538,084,970,927,088,668,789,619,723,968,120,185,243,894,619,866,571,
415,310,291,575,526,351,232,310,693,330,978,864,764,070,984,837,391,797,380,
728,654,344,775,657,683,514,475,151,383,030,288,032,473,393,844,369,729,181,
244,251,438,505,626,803,660,039,059,568,849,031,531,532,772,144,139,786,396,
108,940,648,179,842,998,779,344,363,579,740,816,140,167,028,037,604,327,863,
227,041,489,294,290,623,720,333,365,112,806,527,060,499,228,539,234,101,253,
667,466,328,483,349,326,686,026,991,361,250,653,092,021,707,386,986,944,775,
885,680,368,256,247,331,861,736,075,990,666,704,493,051,847,039,690,640,776,
221,837,779,730,145,530,505,547,627,228,835,742,174,791,248,914,906,003,576,
424,652,949,962,301,277,178,035,149,306,727,249,808,480,930,455,909,676,068,
522,606,465,023,705,773,698,483,321,913,039,097,161,870,325,300,757,596,825,
433,648,625,115,518,892,475,365,490,058,012,576,929,388,170,377,688,154,190,
411,641,739,925,737,408,985,217,443,386,471,025,047,689,259,366,799,971,901,
695,840,606,872,450,863,372,719,211,623,544,173,401,345,472,876,259,116,075,
169,554,830,489,035,782,161,873,702,036,931,825,412,329,435,876,275,789,698,
814,426,986,665,631,946,663,969,883,183,165,791,957,192,600,284,155,457,668,
406,144,090,034,827,630,191,060,907,544,092,142,017,087,009,593,701,403,181,
121,773,774,291,970,655,931,441,636,893,561,952,155,368,846,635,210,277,633,
239,960,438,083,981,717,582,725,542,310,885,050,514,436,525,061,789,803,432,
022,348,338,662,034,228,345,492,943,763,606,916,889,450,156,062,139,865,791,
649,453,470,451,679,464,222,135,680,392,612,388,528,752,468,026,728,607,913,
225,605,380,267,996,010,296,533,127,168,503,689,221,315,948,379,488,136,568,
021,322,372,915,473,523,779,253,989,379,382,981,292,145,261,888,518,553,883,
784,300,387,296,792,099,623,110,759,209,922,051,790,479,637,628,953,156,136,
586,456,255,940,202,144,986,889,135,021,538,321,352,241,125,133,353,634,175,
578,197,713,811,291,165,085,415,321,338,159,428,010,354,238,652,562,694,470,
953,596,950,140,059,125,183,010,093,008,847,519,309,196,307,220,168,709,828,
425,352,800,836,302,099,422,010,517,570,987,049,470,224,322,903,787,436,040,
549,992,892,798,071,168,666,104,544,996,812,441,137,573,569,083,678,452,470,
138,213,783,178,841,995,331,570,523,532,308,002,627,771,753,200,487,734,909,
939,647,736,454,574,020,640,656,480,324,117,093,563,741,022,242,337,824,388,
478,546,559,439,697,283,673,993,226,476,555,310,585,704,679,971,410,789,144,
066,576,614,351,151,796,625,634,802,921,796,498,593,840,854,057,601,178,298,
533,311,743,983,007,866,373,267,506,333,028,381,399,044,812,737,912,512,364,
637,017,516,559,870,091,575,903,512,424,550,527,634,696,869,890,503,366,336,
876,497,408,436,573,877,534,195,858,633,382,126,206,927,948,723,186,696,015,
751,172,121,478,252,143,130,886,834,139,126,875,259,328,983,369,095,915,008,
225,181,352,544,568,937,523,626,783,339,363,087,709,744,312,770,812,446,625,
121,737,392,494,805,430,228,935,225,999,832,580,209,449,425,720,915,020,289,
241,204,057,772,353,780,432,027,370,284,608,322,888,136,766,383,478,227,414,
323,847,729,239,159,396,345,591,106,133,633,044,190,436,764,756,636,911,387,
257,517,747,146,916,275,282,349,160,553,702,685,282,868,860,412,808,538,745,
700,619,002,356,584,375,709,765,908,987,005,799,583,142,232,729,387,601,385,
779,451,595,178,239,430,373,943,935,985,731,506,507,294,707,394,153,709,105,
106,423,982,810,211,322,565,467,155,479,807,073,091,123,425,550,080,403,278,
251,930,195,188,425,071,011,265,813,903,161,984,440,991,343,034,253,748,008,
042,168,322,450,289,322,085,848,891,608,708,869,490,762,621,625,072,140,266,
817,047,175,720,529,061,126,329,809,868,581,247,065,688,530,140,570,275,892,
082,966,310,970,109,191,302,886,244,770,268,723,888,396,165,430,233,297,532,
201,092,070,384,363,347,242,363,242,653,703,196,087,129,796,210,144,730,204,
029,042,230,272,661,491,088,175,224,791,633,706,915,184,639,617,557,194,491,
640,191,515,894,036,200,234,885,509,719,384,069,869,405,012,253,580,648,908,
837,056,264,838,697,106,958,424,353,494,997,512,841,504,849,302,572,471,015,
147,438,800,719,824,528,658,649,739,585,599,928,340,147,755,745,904,257,882,
607,753,573,124,877,879,204,689,404,592,883,356,140,254,067,129,213,632,222,
693,540,202,884,414,717,959,994,635,614,260,161,982,826,666,375,201,575,299,
862,287,823,458,166,921,150,144,457,034,066,107,907,167,944,384,361,601,420,
299,036,476,047,848,883,799,444,408,500,255,269,478,806,085,094,957,864,029,
230,234,241,652,111,567,758,462,661,320,461,689,240,029,087,322,102,918,257,
596,118,683,746,657,573,671,465,101,348,180,431,195,359,078,425,180,024,930,
328,768,506,606,225,674,016,621,051,929,993,789,105,660,075,080,879,090,810,
383,602,781,101,219,887,390,945,016,927,085,695,543,606,367,089,697,733,952,
646,814,466,591,707,413,096,785,485,156,735,448,627,527,132,767,132,404,621,
945,208,008,712,285,242,245,226,251,363,868,305,817,697,264,585,901,245,315,
449,802,023,980,980,081,393,062,676,310,126,514,398,346,585,464,163,936,394,
476,411,977,923,204,179,296,432,664,446,619,948,010,956,636,029,836,732,074,
156,483,868,836,637,893,918,474,542,817,224,495,387,993,286,098,634,462,704,
178,574,134,047,869,678,055,236,978,362,372,054,058,254,587,720,527,454,548,
002,882,571,913,083,189,919,161,801,023,310,536,701,944,078,089,303,578,355,
046,462,694,812,414,974,383,830,569,510,686,770,986,733,019,320,573,717,652,
422,659,491,672,805,533,610,352,621,117,298,090,837,742,527,867,893,400,592,
873,404,565,659,817,331,648,670,788,243,397,426,727,376,325,163,772,512,189,
454,464,674,797,546,980,215,012,839,217,552,173,621,509,205,722,192,577,867,
738,244,113,912,704,012,930,912,156,747,820,031,123,978,973,611,110,490,471,
338,464,356,055,074,711,128,087,972,851,114,450,488,172,723,364,045,692,684,
157,106,297,421,826,385,153,461,576,847,705,971,668,404,473,901,736,429,714,
820,669,836,498,073,509,760,402,063,802,095,241,822,513,722,317,867,626,817,
955,147,908,812,084,738,424,424,203,715,861,852,976,187,553,215,142,635,719,
074,334,791,627,874,195,677,489,781,109,271,499,428,271,541,222,584,239,470,
567,264,300,654,046,436,235,410,999,616,834,290,748,156,527,712,239,767,900,
333,912,489,177,752,090,603,536,949,464,358,961,507,625,771,022,648,413,733,
765,654,266,916,314,789,360,345,869,509,717,610,341,780,192,335,757,420,927,
104,886,780,185,728,427,084,945,466,056,621,549,072,175,414,830,917,186,819,
655,770,519,172,564,832,090,919,559,268,277,041,286,526,372,769,413,032,224,
966,946,965,767,358,679,006,900,697,982,307,455,764,086,803,441,243,987,577,
950,382,413,375,547,340,951,603,282,725,089,691,071,007,289,191,968,906,914,
518,089,628,148,684,267,554,923,448,907,862,992,100,113,582,884,895,876,219,
134,385,140,931,888,248,928,314,659,528,725,021,158,006,434,477,944,756,293,
556,331,908,003,336,225,241,645,532,238,808,627,415,479,904,304,177,869,493,
911,615,379,919,918,578,605,382,908,129,828,716,882,380,203,410,093,295,486,
512,488,145,750,301,381,324,605,324,579,400,970,649,279,030,018,000,776,261,
926,723,378,291,198,999,271,581,559,877,554,348,243,399,108,694,859,420,622,
776,622,574,175,355,807,664,925,648,452,494,671,963,934,966,517,434,772,564,
903,314,476,652,883,202,009,779,050,178,698,415,279,368,145,467,057,582,207,
359,502,607,525,876,198,761,591,555,838,852,780,022,084,392,756,115,099,765,
781,701,116,123,023,906,904,553,238,834,323,755,488,062,875,726,168,228,003,
664,740,831,866,388,846,265,229,208,635,246,346,502,130,806,704,157,088,000,
770,712,955,144,229,497,598,771,422,378,528,861,639,690,336,603,509,032,670,
776,994,802,947,824,127,833,362,576,633,517,246,931,811,120,828,900,698,950,
191,044,992,869,070,282,327,344,127,425,387,135,527,619,335,530,149,633,580,
513,879,632,174,063,857,315,548,236,106,365,822,145,185,272,274,243,322,283,
546,009,873,803,604,778,569,748,446,837,433,048,281,780,297,286,536,258,536,
710,145,965,512,435,787,956,741,604,007,230,737,755,029,912,796,475,372,889,
147,283,514,089,665,842,071,238,975,299,294,247,542,547,704,004,286,616,042,
570,831,096,375,355,650,031,747,452,422,486,338,763,949,758,232,437,769,713,
535,406,377,255,260,718,239,554,616,544,851,031,822,303,297,998,520,003,993,
446,526,753,736,412,256,614,827,126,733,873,338,453,135,741,768,111,241,067,
079,754,826,503,246,868,051,333,984,724,122,803,061,894,726,566,544,395,825,
008,618,065,933,720,318,155,171,898,919,753,373,068,836,065,584,788,637,740,
758,787,591,222,843,255,341,969,319,980,972,111,640,800,766,105,945,974,048,
361,929,464,444,637,749,191,381,027,774,786,175,639,504,606,937,275,159,769,
965,843,748,153,961,746,826,642,599,382,041,266,444,953,196,529,904,725,285,
905,556,077,089,599,602,867,937,442,821,584,744,961,377,310,459,044,010,362,
592,796,907,157,041,837,308,015,804,986,410,962,581,154,022,702,866,496,488,
052,339,533,575,481,364,649,034,911,655,554,917,845,240,484,901,030,439,140,
743,521,424,694,672,892,418,694,584,532,474,773,649,545,523,870,590,043,995,
844,564,869,705,810,056,275,788,877,220,805,245,433,845,828,131,380,182,995,
167,905,555,118,583,990,738,673,809,123,817,839,821,051,454,466,224,390,232,
209,099,858,045,189,899,636,926,031,167,665,128,823,852,501,379,509,146,543,
267,786,105,244,470,665,211,113,957,966,422,873,940,147,346,983,825,414,629,
925,185,081,091,517,377,918,076,521,011,192,259,517,141,156,559,448,056,310,
221,636,930,717,608,268,225,358,392,535,118,940,973,322,962,630,907,690,667,
864,294,767,639,155,077,238,371,406,767,311,994,870,645,887,701,945,654,945,
797,210,946,857,049,343,190,883,435,566,468,407,756,363,837,638,165,294,594,
330,601,575,001,560,181,613,283,005,118,463,035,132,443,628,140,106,727,158,
152,212,042,981,658,628,662,586,509,868,329,377,591,865,287,863,193,313,021,
376,961,498,020,479,675,613,423,172,535,005,239,117,538,286,869,328,924,840,
803,822,753,389,129,004,054,901,195,173,491,462,855,024,019,862,589,707,608,
154,981,384,459,056,207,137,319,505,489,046,815,957,839,485,874,410,367,573,
486,418,478,953,996,305,159,900,951,727,653,654,167,628,204,889,791,188,394,
788,777,220,716,366,185,398,414,648,104,420,127,022,679,789,497,672,723,518,
127,057,837,476,433,905,253,440,731,831,987,108,891,850,475,573,882,932,323,
479,695,696,549,498,910,351,019,933,214,730,324,545,637,938,625,968,373,779,
219,501,109,197,871,960,471,044,481,336,460,673,138,273,826,817,437,113,484,
624,116,839,359,205,247,154,338,863,601,119,371,411,199,411,557,632,064,953,
169,933,319,542,737,400,786,402,647,695,892,682,805,892,079,102,807,219,555,
021,849,335,308,160,858,511,252,778,560,462,568,095,662,335,077,179,880,726,
030,096,558,109,640,491,851,809,861,722,555,633,318,700,751,829,089,688,518,
423,634,737,849,963,847,758,878,271,780,184,648,990,384,220,344,319,767,410,
771,150,741,816,356,954,081,650,150,454,373,775,516,838,538,882,545,748,323,
988,613,815,409,638,447,704,164,524,855,439,803,832,792,544,591,714,129,522,
898,996,392,904,316,973,951,781,136,986,059,563,939,001,027,324,572,227,840,
623,554,141,958,991,623,209,796,786,404,588,244,366,348,196,673,162,966,013,
262,510,885,276,973,845,029,414,473,294,824,561,856,604,456,411,362,602,500,
156,148,741,272,198,499,243,688,898,610,051,322,723,239,719,820,489,777,766,
176,262,747,953,033,972,622,376,720,287,725,416,357,542,510,612,386,569,472,
589,744,356,107,970,067,815,731,068,244,386,217,276,538,606,595,149,423,773,
557,344,893,802,195,333,481,062,821,268,567,353,305,234,749,107,172,591,793,
665,268,454,952,238,149,478,419,899,959,346,857,528,768,414,877,014,192,079,
953,515,381,750,685,584,969,621,991,376,827,676,932,452,110,267,660,970,918,
652,344,043,444,583,857,552,451,226,844,803,063,887,630,312,549,103,413,660,
098,981,241,217,936,805,206,362,354,095,617,516,078,017,999,849,065,043,821,
518,082,671,555,856,970,314,466,876,071,828,522,406,827,102,874,348,132,169,
004,014,027,604,290,871,333,049,285,435,679,752,601,831,188,208,325,608,648,
052,994,547,053,284,251,096,837,013,787,754,663,233,239,067,507,094,336,827,
408,627,320,160,030,567,042,061,843,631,883,112,823,277,672,156,996,998,050,
108,303,529,986,743,986,674,083,123,373,523,634,122,314,341,991,327,747,674,
301,168,139,026,594,598,233,708,163,938,731,728,379,869,922,823,091,529,916,
279,462,235,951,784,602,377,846,382,350,655,150,409,344,456,503,891,237,430,
574,063,767,497,516,899,731,096,529,388,667,422,687,992,947,053,686,194,396,
578,179,192,272,060,203,717,654,759,322,312,072,792,898,945,247,362,522,424,
625,539,324,514,718,245,931,619,145,151,709,178,350,987,881,213,348,187,209,
692,735,817,758,882,474,960,296,248,411,601,914,231,454,366,974,208,679,396,
902,180,012,447,790,829,226,088,014,617,717,601,109,462,534,528,174,142,011,
062,659,760,821,365,586,050,986,572,225,496,246,848,185,387,471,302,530,186,
320,769,376,498,835,061,788,218,075,754,676,253,889,094,013,958,621,883,035,
162,597,275,069,441,552,082,464,006,419,429,450,148,063,178,142,807,955,161,
327,389,336,441,890,927,031,665,466,735,257,662,089,239,591,497,109,270,127,
912,244,883,373,056,224,723,845,627,835,809,552,727,517,887,190,752,490,253,
168,882,308,203,754,550,097,184,002,824,613,715,599,596,562,310,133,374,337,
605,495,364,620,025,638,693,974,292,901,208,237,311,398,699,360,386,210,715,
712,553,504,612,084,932,690,058,750,068,252,815,792,474,873,349,697,901,301,
463,717,043,134,429,772,616,369,042,696,451,988,538,455,419,555,742,024,627,
830,303,296,114,404,334,640,473,674,629,483,789,916,484,922,873,589,107,020,
395,082,402,665,084,872,261,306,135,738,520,396,175,285,956,703,717,746,947,
161,911,960,033,413,569,335,588,359,887,353,605,692,007,240,984,592,852,639,
404,734,122,157,338,653,712,995,614,732,170,739,084,109,488,917,676,070,880,
123,873,048,506,664,783,619,298,077,721,321,049,242,592,051,996,439,871,153,
643,825,814,461,083,029,801,762,416,509,002,513,865,814,673,581,582,582,570,
068,996,032,056,248,157,226,573,714,395,569,508,595,449,616,507,226,192,514,
947,181,074,057,438,849,245,834,256,839,228,594,567,361,413,703,145,817,900,
930,674,539,753,249,285,714,006,409,653,715,814,064,757,908,506,356,244,910,
083,998,192,747,044,564,628,536,632,322,587,035,661,585,703,267,291,336,900,
301,677,306,313,415,957,045,160,260,952,032,576,302,370,918,164,396,976,156,
504,461,651,908,310,465,068,035,500,765,035,407,566,481,739,549,829,600,290,
253,121,547,083,127,997,143,067,026,438,879,145,518,052,291,375,902,303,027,
895,348,908,020,032,618,995,490,277,548,402,271,854,629,706,465,562,778,134,
732,617,872,487,393,802,696,217,673,905,467,090,212,390,728,665,858,479,080,
877,451,156,361,624,727,693,456,059,401,379,236,371,955,033,414,979,859,014,
977,560,730,202,741,786,044,218,933,652,282,678,204,446,701,633,535,383,495,
988,829,147,822,610,350,160,326,424,333,558,454,748,780,959,093,268,703,378,
983,428,461,283,229,010,622,682,577,226,358,030,521,450,031,474,865,472,746,
727,661,233,731,193,028,677,956,392,578,410,240,266,209,339,236,022,448,322,
874,423,312,695,799,730,869,741,175,253,417,041,423,982,432,192,080,368,507,
119,775,087,441,465,376,546,748,009,373,706,020,365,659,465,929,468,778,115,
377,544,308,924,470,269,123,633,595,310,406,021,160,627,816,356,045,644,215,
395,414,466,575,841,640,412,917,697,954,430,796,930,951,089,326,009,413,055,
208,838,138,953,139,545,915,531,449,521,825,657,227,740,647,502,993,719,422,
079,657,991,952,954,578,920,928,914,760,419,821,981,308,326,809,482,808,307,
956,784,072,958,706,282,678,429,018,586,616,653,390,584,086,097,432,930,629,
836,197,393,099,052,743,858,017,414,955,192,994,280,112,553,508,566,416,594,
782,469,046,387,452,301,496,823,902,146,220,082,480,410,035,733,184,104,398,
454,451,368,565,537,586,757,917,865,825,278,670,664,711,980,997,377,410,759,
579,314,588,795,465,849,063,672,649,929,932,397,653,314,876,715,967,617,825,
181,033,094,342,984,850,622,625,668,573,300,734,161,542,453,619,787,441,144,
126,690,827,809,166,905,730,683,571,186,790,873,696,666,074,620,538,519,027,
908,339,035,317,092,621,864,399,702,673,188,702,845,892,071,419,463,610,620,
053,737,408,608,460,285,106,269,089,257,997,703,453,019,522,141,755,194,025,
045,127,493,715,899,490,892,601,260,000,237,801,350,314,938,269,558,530,532,
449,457,028,210,907,979,096,633,782,587,645,721,166,331,169,830,123,496,231,
665,827,499,809,478,787,213,559,884,060,334,676,465,895,597,874,421,077,814,
123,981,754,256,594,947,428,084,708,803,244,932,866,127,357,924,775,534,366,
988,930,065,306,721,918,378,291,666,048,036,349,934,317,296,858,015,372,742,
532,095,302,081,035,450,268,413,835,064,499,944,683,534,511,657,092,545,358,
340,378,811,104,966,818,431,533,485,515,102,989,766,051,229,768,821,118,210,
678,651,298,560,472,155,151,760,094,045,703,343,141,698,883,188,236,465,791,
725,506,364,158,996,861,045,069,854,993,473,525,291,877,498,008,092,401,907,
848,945,549,545,612,297,798,778,955,165,030,862,391,145,005,673,823,894,004,
179,231,757,928,303,899,480,186,024,516,849,586,864,422,104,589,547,615,869,
869,097,916,852,102,443,412,476,682,308,352,436,856,516,260,730,912,858,775,
769,846,121,955,620,384,666,594,743,015,082,023,767,738,260,768,902,344,410,
483,210,248,335,747,919,734,326,071,287,673,430,749,488,329,076,708,033,696,
890,998,177,732,221,484,477,859,398,392,508,172,131,006,938,342,055,848,159,
600,605,659,094,200,453,802,497,761,493,938,931,188,137,801,701,067,446,683,
726,114,077,284,593,391,605,244,481,610,976,340,603,923,412,995,971,140,296,
983,934,690,748,026,840,100,416,183,133,607,089,844,810,116,866,081,822,666,
284,400,048,993,471,793,240,758,977,125,500,054,461,902,567,395,808,071,161,
143,331,030,453,822,916,059,241,725,961,984,613,394,761,230,098,072,782,106,
297,699,696,451,775,515,481,510,010,383,589,652,226,409,617,284,613,186,633,
504,216,398,187,558,686,780,169,726,940,134,561,436,885,275,772,151,041,037,
027,370,095,942,526,923,678,629,744,990,537,987,397,709,806,183,785,239,184,
045,515,659,769,864,842,081,317,048,256,056,810,819,908,536,896,803,399,060,
141,021,829,764,401,809,739,545,354,139,183,776,350,195,453,294,276,576,895,
598,056,292,074,619,291,066,626,831,542,476,793,056,545,932,272,366,884,722,
916,299,527,753,663,331,295,672,591,535,304,725,350,482,192,460,891,393,976,
644,125,319,607,781,399,648,632,712,525,587,325,531,356,714,464,846,353,262,
534,118,902,873,198,627,384,966,140,776,974,304,779,795,782,377,780,163,790,
617,668,828,142,219,620,968,596,501,599,870,071,340,058,573,644,438,141,599,
225,704,132,112,783,951,430,154,102,274,226,231,122,607,194,735,966,761,383,
076,704,839,711,409,969,502,692,560,220,266,992,400,636,937,169,106,015,520,
992,110,042,262,556,002,797,267,591,373,821,438,551,552,674,863,168,704,361,
956,818,795,875,809,169,192,850,903,177,507,835,125,226,684,305,436,377,135,
189,289,056,302,745,203,375,303,715,390,967,587,566,796,791,586,100,389,506,
891,911,496,225,657,202,039,549,248,030,693,305,920,845,848,264,374,610,439,
074,268,747,373,004,847,059,698,910,004,351,584,143,577,856,748,993,373,079,
925,158,943,051,609,211,241,974,534,228,792,625,062,931,900,583,447,321,505,
097,642,334,079,814,031,981,136,863,697,325,994,105,088,674,770,675,399,606,
965,633,441,794,813,952,477,997,234,797,311,854,173,737,100,244,093,768,754,
856,660,345,186,137,606,268,307,370,147,590,158,185,551,188,763,362,658,599,
804,340,472,019,164,598,675,118,545,646,481,673,656,286,968,742,602,969,099,
436,353,542,514,002,606,365,108,067,837,879,785,539,149,179,477,425,440,504,
340,138,830,106,936,581,342,821,587,971,930,483,202,504,010,230,574,605,912,
786,927,647,904,666,277,570,545,365,590,550,071,358,154,689,111,197,401,199,
664,796,059,635,302,667,974,018,912,691,970,300,960,134,459,858,261,055,320,
579,928,344,591,814,400,753,299,176,388,195,505,363,536,270,456,113,314,999,
897,537,777,980,433,324,814,466,798,237,875,610,173,096,945,922,351,863,042,
620,343,042,248,426,092,114,162,196,936,928,922,273,333,296,971,123,521,046,
015,831,043,923,346,641,476,230,794,750,963,096,708,661,995,857,484,610,516,
170,687,743,505,370,014,033,454,966,028,734,443,561,082,219,966,714,908,180,
294,998,078,074,783,147,635,441,526,352,456,148,742,263,284,490,026,123,583,
557,882,490,566,240,751,429,093,337,566,929,815,174,730,298,166,699,911,586,
033,111,967,105,380,170,732,905,559,257,405,130,204,517,136,875,550,926,834,
684,115,622,623,033,034,715,062,788,713,212,968,343,580,042,294,748,240,944,
401,760,101,338,271,054,787,504,871,014,411,426,849,578,515,899,012,772,700,
136,812,111,844,160,320,053,002,893,105,457,986,824,112,041,631,161,940,715,
114,928,856,608,681,711,560,273,353,249,616,051,819,305,664,287,344,795,380,
652,340,868,051,180,652,494,865,206,293,189,408,692,879,447,496,414,474,763,
982,746,065,691,544,834,595,807,987,195,908,538,919,475,860,061,873,718,433,
041,453,191,463,730,114,270,955,410,132,390,305,147,531,689,428,333,292,731,
660,537,888,266,362,220,645,461,928,988,510,786,947,616,754,141,672,004,089,
198,972,398,740,008,359,324,233,070,385,866,429,279,986,942,861,154,967,067,
857,128,464,488,169,176,768,185,980,594,200,010,623,460,739,587,923,604,333,
142,158,679,233,455,845,348,235,051,377,705,510,315,962,273,566,353,890,675,
780,309,758,807,957,226,306,708,856,369,528,296,797,912,980,924,239,987,605,
009,781,506,710,636,529,452,446,611,437,376,071,223,545,635,829,976,142,431,
725,752,051,621,554,521,929,823,247,214,101,115,356,172,959,340,421,809,629,
168,068,775,411,912,533,187,897,208,616,649,507,949,101,882,491,993,104,871,
586,575,474,853,751,686,767,979,460,597,158,393,501,520,559,206,316,386,451,
307,526,876,581,472,947,586,930,710,874,293,295,783,660,003,029,299,682,304,
886,914,902,369,791,827,369,638,239,535,961,302,559,453,895,536,526,718,795,
726,932,202,854,459,984,017,970,628,745,319,252,370,263,945,855,613,994,508,
996,561,474,273,035,985,916,826,568,485,301,058,148,602,522,300,488,750,832,
703,126,320,983,808,848,288,920,819,069,404,414,591,017,143,459,971,247,235,
742,888,799,961,064,451,801,531,793,065,939,755,907,970,698,815,162,768,120,
229,513,094,591,113,054,079,564,707,052,046,439,113,788,539,945,789,232,849,
217,362,836,857,732,049,078,543,762,769,109,294,966,463,503,623,381,834,098,
228,549,632,367,416,639,916,790,153,627,099,450,892,305,989,265,752,221,518,
757,709,792,678,546,390,259,611,613,491,883,440,147,950,115,408,053,687,478,
422,365,363,725,701,073,113,195,621,741,930,246,831,710,622,613,689,859,151,
154,272,082,500,734,665,667,461,240,225,051,483,401,393,086,952,528,319,680,
553,081,442,078,162,542,674,184,117,454,121,366,445,696,745,711,567,102,211,
960,669,052,447,117,253,816,015,726,311,474,537,768,728,463,894,562,307,043,
859,609,927,317,591,282,447,282,324,966,715,533,863,477,601,153,541,737,616,
442,006,206,323,899,608,175,655,208,902,606,801,152,434,085,594,508,076,995,
246,134,121,720,231,546,196,109,747,875,055,576,077,970,535,400,977,449,443,
492,289,406,894,074,036,699,938,581,595,748,881,116,804,817,249,254,949,776,
713,577,809,390,399,280,963,978,767,248,805,804,779,506,969,183,032,264,098,
063,253,117,281,512,887,155,837,484,886,265,809,703,987,871,407,538,952,973,
866,156,017,198,414,010,361,106,141,916,426,519,710,325,827,778,252,072,296,
219,385,009,431,808,219,113,209,204,465,290,235,086,286,614,669,964,208,834,
193,284,417,194,685,565,614,481,246,567,036,027,247,901,744,576,829,992,940,
799,605,211,139,245,456,554,772,700,736,841,577,751,876,357,189,772,570,601,
551,287,637,528,842,337,529,630,593,703,368,001,479,844,883,460,277,063,026,
666,337,426,527,127,364,554,343,959,186,041,246,367,762,474,618,579,470,906,
175,391,197,122,026,525,786,750,227,484,116,347,063,852,145,712,649,143,663,
531,575,975,777,483,408,115,928,161,883,415,339,828,309,875,327,059,306,086,
783,851,393,822,368,323,647,727,750,120,351,414,343,379,391,700,516,165,206,
776,666,950,625,835,595,582,297,552,695,511,972,503,613,176,857,300,586,186,
231,123,267,641,800,743,412,230,812,889,772,898,704,292,626,713,136,676,137,
633,738,918,664,114,575,251,619,509,853,212,182,916,837,152,469,527,084,174,
040,964,413,888,390,250,385,467,510,810,760,367,423,771,135,326,442,324,906,
073,467,503,340,683,573,662,387,483,017,281,386,722,771,825,028,150,375,895,
416,057,466,738,435,904,912,139,882,046,567,143,897,822,213,318,223,836,332,
729,600,164,130,463,493,927,621,950,621,697,649,067,019,216,047,188,160,715,
869,610,936,173,061,948,311,489,811,935,204,592,077,934,743,080,282,693,552,
188,260,757,755,295,657,322,521,712,118,387,931,303,224,906,625,341,889,539,
456,097,052,506,384,991,259,633,856,522,074,543,536,077,877,351,569,089,425,
015,952,405,312,124,406,839,408,353,101,304,473,610,532,819,776,197,904,481,
860,764,725,582,940,973,623,471,906,119,581,326,225,889,364,514,152,840,170,
863,748,225,876,615,186,449,816,257,746,597,136,670,001,915,222,040,641,388,
083,560,271,096,734,128,216,728,218,334,829,892,575,107,606,795,990,188,778,
618,875,205,106,893,263,027,827,438,774,021,953,195,575,228,778,599,645,239,
084,943,964,178,741,370,258,064,646,817,698,815,571,278,352,834,550,896,018,
454,527,109,257,064,553,651,482,864,457,785,649,984,950,329,112,838,970,788,
880,864,757,903,034,407,805,669,763,931,316,640,986,314,688,341,313,766,337,
263,616,683,445,197,708,239,926,873,855,646,954,622,972,865,092,838,873,953,
291,330,488,810,326,817,578,019,114,193,261,528,644,182,476,012,043,846,989,
341,749,984,832,846,814,357,429,285,253,754,454,676,469,935,221,335,059,394,
221,558,645,619,382,541,733,774,040,472,099,397,010,340,412,574,734,798,492,
753,191,869,580,176,253,845,287,366,048,978,232,407,785,490,534,829,159,998,
320,072,576,908,075,785,556,663,668,431,932,543,374,818,081,954,683,465,073,
834,344,937,814,894,329,211,329,197,949,315,795,742,595,206,083,326,630,255,
351,248,878,788,444,500,857,200,200,417,020,731,880,567,857,920,048,318,906,
258,842,606,054,229,341,423,213,369,253,678,437,591,549,477,483,905,046,283,
340,833,158,416,718,678,265,967,872,988,259,249,530,807,383,153,940,071,006,
784,206,495,857,303,958,398,683,707,532,317,433,418,202,483,682,435,253,710,
000,163,386,088,767,210,414,321,751,681,826,181,386,352,027,238,222,223,063,
931,926,527,141,601,870,818,822,203,667,092,757,364,793,476,094,105,659,189,
419,880,035,581,539,573,518,174,462,374,754,884,833,551,179,862,774,014,145,
427,863,192,842,727,909,983,361,678,714,961,578,113,219,960,000,472,669,325,
012,824,676,168,172,307,250,323,917,836,447,091,451,433,164,163,507,756,669,
139,729,625,497,530,207,360,269,994,083,804,437,322,639,923,071,839,877,637,
641,494,333,075,241,024,528,568,725,888,796,454,690,480,673,561,928,240,624,
936,195,400,594,985,508,947,721,938,409,538,754,413,354,917,741,666,105,438,
849,482,138,222,482,613,813,309,075,655,202,735,024,680,316,179,889,473,211,
945,215,974,970,086,696,653,461,799,860,932,145,659,669,342,422,177,274,107,
683,442,969,777,804,287,371,125,599,770,431,322,971,323,799,653,830,337,654,
382,155,948,884,391,281,440,019,626,001,148,827,733,373,922,351,160,023,085,
362,345,615,249,205,722,104,424,842,027,007,922,955,615,919,398,448,031,547,
401,484,841,909,230,830,224,136,040,986,000,489,625,891,143,442,650,566,518,
610,678,698,676,517,605,031,107,748,732,660,891,577,101,330,845,622,449,898,
905,644,210,901,914,933,781,365,901,783,959,560,057,124,784,914,360,145,590,
682,341,984,258,188,352,120,258,606,657,346,190,285,103,199,269,950,402,574,
012,565,428,976,024,868,865,153,392,988,905,138,701,764,784,058,969,189,900,
261,606,612,895,875,884,652,630,710,417,031,355,551,360,368,894,527,513,993,
525,068,350,372,994,435,707,487,967,826,101,594,543,687,649,952,687,960,855,
635,700,994,179,313,760,532,550,743,864,010,319,946,057,436,394,766,918,048,
255,787,358,833,977,154,398,870,915,687,797,350,802,606,948,340,766,431,623,
485,658,966,556,923,023,025,937,629,838,057,794,280,548,659,466,903,123,715,
841,443,144,237,527,428,998,648,847,291,841,403,820,157,028,126,282,359,710,
063,160,529,287,753,161,234,938,186,408,005,550,621,868,550,716,960,026,130,
612,495,992,212,827,986,942,824,123,553,843,824,567,390,788,989,374,312,614,
349,611,487,116,318,260,130,626,015,207,645,322,290,820,771,851,181,868,547,
300,386,990,355,452,590,823,204,349,608,845,084,499,331,813,612,631,755,074,
329,689,568,887,232,807,096,356,553,752,811,705,713,854,577,292,924,263,022,
929,696,641,086,674,120,951,865,789,532,804,955,128,209,403,974,975,352,252,
565,831,836,924,747,625,400,578,434,607,214,104,380,234,129,508,960,513,763,
665,761,483,790,676,035,288,688,680,635,050,243,063,276,484,265,403,741,800,
303,293,761,138,919,729,580,207,806,031,730,355,117,222,308,525,315,386,511,
657,627,242,211,269,729,806,287,439,678,634,986,629,031,262,296,905,183,436,
727,786,409,939,144,962,001,089,775,039,633,481,433,416,834,663,942,748,615,
048,189,575,542,175,552,575,235,389,849,332,253,164,543,438,067,533,574,978,
274,379,310,884,272,014,607,333,300,875,647,746,177,908,262,053,156,283,218,
589,945,968,721,291,987,461,401,842,436,703,353,681,030,864,306,057,931,724,
005,277,395,458,714,473,534,729,227,990,994,555,457,242,485,455,188,989,812,
238,456,722,108,759,198,762,331,761,755,295,322,855,494,924,895,954,693,083,
372,755,052,801,514,794,347,765,184,555,334,911,655,266,362,459,875,664,908,
947,612,707,713,657,498,093,301,617,909,555,244,925,629,529,941,852,939,042,
909,133,882,342,089,946,276,532,548,250,830,773,469,300,140,211,422,209,690,
082,377,767,695,681,505,071,764,145,688,134,361,112,662,664,225,841,852,783,
271,503,088,694,453,441,800,487,765,931,222,887,160,064,350,823,792,866,775,
121,341,864,127,133,773,466,433,414,845,378,192,126,170,588,053,294,119,174,
558,270,957,476,946,470,350,524,380,058,930,966,169,653,670,972,174,523,536,
091,691,668,319,429,388,975,527,124,782,022,991,366,167,762,540,003,970,013,
548,473,942,830,327,843,897,789,994,311,702,664,840,334,498,962,392,483,092,
436,417,720,745,596,484,678,395,081,030,122,200,196,870,866,483,653,053,450,
040,127,005,563,655,648,353,272,320,864,317,775,017,557,519,983,812,318,483,
882,332,032,877,451,413,407,825,744,167,023,419,661,949,799,249,966,250,820,
456,033,324,195,215,752,550,881,484,673,501,809,150,280,780,363,027,266,119,
491,014,708,930,177,299,538,596,922,996,431,382,261,183,006,980,893,407,342,
855,207,903,346,551,355,782,937,097,226,108,829,870,149,924,251,369,301,411,
160,490,709,390,482,339,820,929,134,630,191,349,744,670,139,445,720,561,461,
917,442,870,959,533,326,933,978,615,103,342,805,106,887,856,434,348,729,113,
423,573,965,055,025,035,116,165,019,201,694,652,029,751,417,282,489,724,104,
696,188,430,768,302,662,381,473,083,772,930,326,677,472,441,428,691,655,128,
168,549,782,024,072,860,797,056,610,306,872,718,683,055,509,901,439,210,402,
684,354,830,828,385,389,611,799,356,190,031,960,700,531,682,428,207,713,186,
550,723,195,694,889,524,430,137,449,446,057,006,392,147,450,348,395,210,250,
574,640,780,922,147,193,894,503,368,048,252,714,071,077,768,201,716,966,262,
657,291,541,009,038,571,102,118,374,804,955,614,676,099,222,682,028,583,337,
625,216,890,232,528,818,988,798,639,732,590,991,766,898,846,235,565,514,696,
219,022,316,847,740,082,122,105,348,356,472,057,761,531,946,128,426,245,824,
304,424,366,208,898,620,154,388,949,728,996,378,701,103,818,364,837,779,580,
342,023,936,185,027,636,711,864,083,099,917,406,225,092,438,219,472,885,790,
077,558,238,769,546,122,301,258,355,504,735,533,352,022,818,433,813,135,980,
661,370,768,081,057,391,532,460,938,317,557,602,862,632,576,568,620,912,320,
921,268,931,723,312,867,008,317,704,839,926,908,608,496,982,285,041,775,928,
343,345,585,209,994,260,444,126,761,171,668,366,446,322,664,434,993,121,485,
839,968,667,951,901,980,853,740,313,325,679,388,936,821,370,821,107,122,741,
309,705,550,693,998,323,564,633,952,570,050,083,852,826,157,843,789,294,598,
934,018,281,751,968,588,926,242,265,340,775,462,045,832,743,317,415,746,802,
948,449,386,047,634,423,190,086,859,179,582,925,741,111,486,044,603,987,539,
992,016,400,865,240,853,059,718,249,973,751,430,026,977,288,395,396,461,716,
971,003,881,899,285,328,139,476,428,033,214,807,184,949,716,773,618,563,682,
362,100,280,943,538,350,706,302,673,069,002,261,471,615,054,724,819,742,589,
941,859,825,427,037,045,332,752,594,262,215,451,084,025,608,201,004,995,955,
783,402,921,824,591,594,525,742,291,453,846,836,975,107,298,840,503,926,696,
908,864,637,405,153,282,176,593,767,558,897,338,936,809,800,888,243,581,126,
504,152,509,693,889,619,552,429,031,488,080,226,281,101,943,515,273,285,410,
400,613,614,783,639,163,005,085,063,140,500,767,649,522,228,712,204,549,238,
887,256,239,228,156,779,131,415,424,188,134,286,872,983,366,076,862,532,484,
739,896,745,694,421,415,761,149,504,628,002,189,437,179,656,972,926,121,257,
577,691,584,145,284,006,605,903,299,919,441,295,168,394,479,236,957,279,198,
282,173,232,686,677,985,474,117,043,350,841,417,496,463,360,446,596,109,206,
509,277,008,517,242,635,102,520,057,581,317,500,398,902,111,138,969,014,589,
200,348,927,079,593,254,042,217,823,512,947,270,242,863,744,008,772,993,305,
097,514,243,964,987,633,553,995,388,541,801,068,541,483,634,925,747,258,054,
060,413,078,493,525,062,582,750,444,888,066,379,866,475,086,290,394,181,374,
856,159,595,355,615,321,740,111,398,050,499,932,240,832,574,076,039,368,407,
413,942,399,566,111,185,961,431,826,034,816,870,123,999,360,727,892,660,121,
332,427,846,088,663,596,749,892,226,522,786,478,480,707,185,333,404,157,713,
316,993,247,381,895,575,759,952,555,816,269,852,878,196,965,897,874,202,172,
051,806,185,023,645,626,926,503,331,815,745,915,648,445,092,251,655,536,700,
855,338,903,592,011,686,835,196,054,734,362,748,930,808,607,505,091,338,180,
937,488,874,562,628,746,508,699,974,678,298,198,664,259,615,306,688,864,484,
405,039,079,294,228,323,460,213,387,953,734,073,850,523,841,208,398,843,864,
688,319,867,207,134,604,300,387,046,140,370,295,245,635,668,477,706,650,410,
563,353,140,948,632,774,672,835,142,237,336,434,008,338,011,273,263,371,204,
982,252,643,185,261,154,152,265,701,922,634,343,029,998,217,502,389,903,840,
618,420,458,324,875,252,276,552,738,805,017,913,952,791,013,695,100,171,953,
498,629,216,974,729,665,863,238,127,553,775,674,836,409,707,221,228,604,171,
128,776,145,381,440,533,983,010,011,896,596,039,974,497,969,752,597,791,547,
807,684,710,696,924,055,548,923,882,973,248,195,792,303,108,457,158,710,932,
729,936,728,804,276,863,654,546,047,300,145,063,087,012,456,024,432,478,019,
633,259,540,204,322,618,546,016,345,738,800,647,987,506,171,082,076,869,786,
640,949,531,206,638,558,858,923,477,158,270,399,359,365,616,441,889,527,582,
202,907,645,144,337,134,736,642,316,605,557,071,100,510,868,344,650,901,126,
761,370,610,072,945,012,895,461,520,630,987,118,200,069,591,122,236,822,350,
461,278,907,305,167,920,058,356,853,259,886,716,851,760,469,920,957,228,863,
548,112,528,820,498,548,252,519,013,418,121,945,869,082,503,547,468,835,038,
223,657,367,928,029,996,612,428,425,666,458,387,408,048,217,852,826,356,090,
646,108,270,653,992,119,262,624,946,866,374,584,444,017,667,778,197,054,885,
296,444,342,450,554,030,557,916,405,231,700,758,233,042,009,330,550,252,148,
124,751,331,634,284,147,939,032,127,486,914,569,341,771,648,287,346,413,267,
830,796,433,621,642,566,230,834,384,271,290,867,707,066,884,625,086,507,513,
148,147,914,527,342,271,536,403,340,425,921,794,115,760,569,241,028,202,555,
154,008,567,408,198,487,112,583,785,702,514,161,482,795,239,288,816,139,602,
717,107,653,859,209,416,541,375,756,601,162,098,216,140,444,842,864,150,570,
033,282,551,001,386,736,676,991,351,979,794,167,001,268,222,881,686,015,368,
150,659,250,819,217,587,428,242,638,056,583,730,895,300,413,150,578,014,212,
613,073,981,479,628,280,911,976,710,463,781,777,610,995,378,380,776,434,869,
400,765,304,475,418,418,957,892,273,502,904,055,703,939,450,632,873,084,170,
415,991,647,324,511,739,833,969,733,186,574,749,772,080,885,368,108,953,879,
086,069,433,158,350,095,088,020,322,683,474,662,302,217,814,667,616,452,116,
281,927,387,412,612,608,746,174,580,066,804,563,708,236,828,671,779,635,810,
726,150,370,017,659,730,880,578,313,780,189,788,875,491,720,832,038,128,093,
732,044,678,548,175,926,787,974,915,317,364,303,205,774,541,638,203,578,262,
883,796,291,328,015,063,867,465,939,118,469,452,131,885,540,829,003,461,193,
460,370,372,518,744,768,332,568,285,276,749,753,533,529,942,973,826,379,137,
558,326,260,220,070,488,960,974,392,097,161,722,583,220,438,297,133,732,618,
541,740,421,788,244,002,473,608,619,094,392,432,929,771,222,249,299,763,487,
505,655,142,865,198,303,492,096,267,972,083,055,890,691,534,476,747,099,005,
009,008,603,799,819,543,220,092,423,138,267,206,612,727,431,755,511,861,018,
973,364,235,170,257,427,171,339,374,850,121,777,162,851,083,304,425,695,231,
596,534,606,675,528,788,327,825,516,275,618,379,140,727,235,784,068,900,320,
909,670,215,624,447,531,237,569,485,527,716,495,493,407,037,707,545,221,989,
644,597,508,302,121,580,428,709,096,044,856,357,962,567,213,462,550,955,011,
594,811,158,683,780,555,028,603,633,739,133,619,775,244,056,934,927,633,512,
430,172,837,885,410,690,514,789,822,943,264,907,090,176,799,972,605,737,523,
526,562,993,492,938,372,616,897,285,410,451,585,815,347,879,036,416,489,868,
744,917,201,391,886,723,308,108,331,368,635,363,333,637,361,119,407,542,765,
251,326,766,185,189,641,445,091,901,714,525,804,940,592,975,724,222,713,386,
562,049,982,696,248,459,514,246,698,132,029,019,553,694,847,132,357,817,413,
356,241,862,189,750,541,924,238,594,044,311,445,256,158,656,308,882,036,978,
289,874,310,978,206,201,383,435,034,050,389,604,470,507,924,204,998,824,449,
679,222,892,401,210,847,106,804,037,113,555,821,754,355,401,019,851,725,088,
780,118,040,145,988,992,363,237,092,957,894,216,750,842,545,325,363,666,630,
620,197,252,754,038,872,732,018,661,827,328,043,969,823,105,640,787,897,468,
637,297,099,894,616,265,695,558,310,637,198,154,454,957,331,006,447,396,715,
758,406,536,255,680,533,125,332,746,951,436,194,984,893,238,907,768,959,651,
486,254,542,918,250,969,735,212,935,035,172,781,983,222,511,082,375,421,695,
340,253,818,268,601,199,297,361,625,121,940,669,028,945,438,612,754,734,073,
624,081,393,338,015,588,615,617,498,950,694,256,343,118,421,204,593,620,517,
744,340,937,070,213,145,029,114,398,638,907,713,513,103,766,264,910,583,124,
490,924,949,545,250,972,242,925,512,846,131,513,445,654,256,227,839,701,541,
857,939,670,904,437,221,078,550,872,654,593,040,393,228,591,659,380,424,679,
036,352,414,990,431,783,016,125,622,797,323,377,299,311,311,673,006,665,525,
524,589,744,075,940,175,054,182,420,169,020,960,680,438,971,278,710,108,817,
212,875,974,304,203,572,948,558,032,954,294,042,263,450,216,318,749,081,145,
566,237,890,922,112,141,309,111,467,357,270,158,522,365,958,001,371,997,006,
271,946,976,199,869,483,824,803,587,234,606,211,298,962,367,858,841,687,442,
704,145,557,813,949,049,641,816,375,330,896,952,746,576,471,576,042,780,263,
002,144,052,293,762,240,347,956,251,037,046,635,311,330,913,932,270,414,341,
681,434,084,217,140,561,621,923,367,922,722,905,726,755,827,306,855,436,903,
396,430,486,611,689,112,835,328,431,016,063,517,858,905,649,608,847,277,089,
082,368,543,151,058,687,091,954,064,256,051,790,327,318,531,847,936,983,794,
679,591,829,160,788,978,990,928,755,138,426,121,666,772,889,153,663,201,515,
017,844,979,134,925,334,337,259,353,831,471,006,786,440,853,361,669,092,306,
791,040,476,761,187,752,554,079,542,136,446,121,692,335,449,169,490,267,270,
396,538,032,553,630,016,280,232,229,552,582,009,250,957,263,274,370,733,287,
712,844,793,682,211,488,708,841,282,217,725,704,663,013,195,338,779,043,886,
229,178,791,580,744,930,897,795,975,268,598,820,140,527,344,529,285,792,117,
455,284,423,259,813,060,878,531,584,829,617,299,829,847,023,029,268,573,360,
094,833,542,038,614,318,059,116,310,491,476,642,271,379,310,243,749,283,991,
034,368,604,668,142,401,496,800,655,655,853,622,715,069,695,669,301,200,913,
696,644,768,466,272,918,646,860,947,499,233,462,611,452,217,491,611,625,896,
522,343,616,518,079,978,732,203,480,584,352,401,904,471,752,198,799,246,629,
259,402,151,271,906,046,789,346,260,339,366,959,176,891,822,965,803,798,615,
245,421,170,638,034,550,284,246,529,648,767,759,454,587,051,151,522,765,453,
206,002,577,672,488,735,271,984,264,761,123,646,691,968,792,604,351,418,035,
958,410,385,035,847,611,694,851,382,380,982,882,684,805,001,054,412,545,546,
114,098,103,003,405,815,028,509,157,956,354,720,453,163,531,703,940,030,128,
548,292,002,081,130,177,144,145,239,560,976,812,203,744,103,958,240,882,483,
396,461,275,840,833,550,141,499,323,919,325,164,291,057,969,443,215,549,907,
606,167,995,649,993,685,756,421,561,319,720,173,638,081,760,958,642,531,038,
264,466,461,168,240,890,105,556,362,175,660,916,635,365,566,985,907,168,212,
017,804,386,324,259,431,526,426,393,507,798,166,785,414,459,123,962,679,478,
158,617,019,112,925,858,691,373,655,418,058,146,104,885,939,030,115,263,166,
199,775,854,393,291,906,995,348,027,986,395,435,613,172,902,237,897,348,978,
135,426,480,176,061,201,924,440,733,636,274,191,572,773,044,412,077,311,632,
820,019,782,315,747,130,898,057,943,004,801,520,899,412,242,966,795,793,228,
478,970,484,884,416,062,540,309,516,746,037,394,705,780,347,079,582,554,943,
552,987,766,187,709,474,248,638,041,056,476,269,003,880,345,268,551,057,348,
325,022,137,869,108,389,728,316,276,371,758,119,431,460,836,719,286,139,168,
948,220,094,573,974,674,849,015,566,685,137,712,680,375,676,430,589,464,908,
526,855,252,640,349,752,578,597,164,810,309,973,464,670,626,417,741,756,503,
500,623,314,941,630,937,537,808,841,700,524,839,101,230,173,163,679,674,974,
979,889,754,743,273,858,053,759,540,706,280,626,216,303,971,821,872,945,125,
709,813,644,612,897,267,633,222,134,233,922,394,559,381,576,740,741,043,848,
236,344,413,606,623,894,102,009,782,033,211,362,292,065,568,722,311,411,878,
498,407,569,381,648,057,867,634,807,943,159,834,251,605,953,219,934,812,590,
666,988,577,964,732,951,079,551,686,577,703,387,006,934,316,187,690,365,467,
584,010,931,224,068,481,319,437,028,633,456,135,767,325,412,982,433,446,638,
651,121,207,484,895,580,912,729,580,515,563,205,860,826,641,539,976,846,591,
209,003,824,445,950,090,218,347,891,232,265,706,874,653,647,101,832,531,263,
915,269,849,381,908,742,154,730,732,865,057,690,294,635,382,993,722,412,455,
441,205,398,518,287,669,326,505,623,151,011,150,478,405,287,228,044,858,374,
304,626,489,794,154,150,207,146,134,012,019,936,859,410,589,320,121,995,692,
188,936,391,721,274,977,437,519,276,663,264,487,423,187,085,324,119,810,445,
588,438,396,058,459,360,287,410,092,341,547,146,319,364,802,585,755,627,820,
779,758,164,948,712,988,342,379,812,180,094,621,233,180,358,789,967,544,118,
983,891,749,959,985,929,104,384,425,624,147,586,554,891,398,331,820,199,355,
180,168,712,377,699,927,806,427,933,018,257,941,885,430,269,101,225,097,670,
160,086,791,819,666,757,606,467,125,423,179,834,752,125,113,983,503,204,104,
092,745,045,635,720,118,530,654,988,924,045,911,919,447,848,284,849,147,301,
904,922,600,264,844,532,046,827,123,638,527,380,069,175,421,962,671,116,116,
555,302,835,601,417,132,792,909,422,561,499,647,752,967,078,397,652,127,917,
976,723,336,146,480,949,469,040,827,974,984,429,514,283,197,823,571,685,741,
079,138,197,561,012,609,389,612,824,686,731,653,706,316,209,950,649,751,853,
950,742,209,911,063,822,753,617,024,343,464,720,694,007,965,363,129,154,316,
234,443,452,422,489,860,725,998,892,789,522,932,831,895,390,034,857,155,237,
723,764,329,142,538,689,201,983,864,613,837,545,520,465,429,999,080,264,365,
182,040,525,356,523,879,525,942,580,553,404,007,045,450,707,031,425,025,698,
001,970,506,581,449,729,733,048,484,575,353,244,780,806,517,616,975,635,189,
353,022,654,611,208,922,375,546,171,356,172,080,897,000,795,053,046,582,962,
491,594,066,532,795,819,999,781,049,513,585,601,251,360,149,684,852,593,176,
339,643,229,177,854,946,789,046,127,621,055,746,123,853,619,559,774,469,606,
116,299,326,941,505,969,976,305,939,052,613,628,149,545,987,594,007,097,493,
207,621,815,586,050,768,425,119,711,855,881,168,565,005,817,040,477,631,867,
792,891,682,564,154,574,379,669,215,119,593,493,942,998,345,117,835,044,917,
767,907,314,556,110,202,822,682,683,900,978,233,702,315,795,596,735,576,889,
513,460,148,525,015,757,781,984,799,843,001,293,542,365,926,120,380,267,092,
941,142,018,073,903,456,190,214,424,015,251,102,503,708,902,195,191,978,255,
371,087,537,065,976,622,508,459,428,537,986,026,923,334,948,258,249,580,841,
842,415,703,926,435,412,420,410,779,571,100,019,070,472,640,751,644,097,705,
457,812,780,611,995,048,113,122,092,253,339,375,421,692,413,627,040,208,021,
939,697,977,104,328,092,332,987,772,770,946,496,442,338,307,949,497,029,286,
153,895,024,075,807,121,638,386,541,189,078,778,019,410,303,731,423,159,098,
575,044,642,571,457,355,562,915,196,906,565,577,553,527,626,928,191,877,042,
567,289,146,438,829,882,730,039,973,551,236,811,039,520,226,638,872,385,156,
834,056,082,852,100,036,723,470,652,843,499,086,805,701,487,199,520,727,527,
361,227,231,520,622,215,821,456,608,440,456,180,122,231,202,305,102,664,921,
510,994,886,158,559,752,268,026,717,257,737,471,785,723,088,192,080,829,946,
247,882,226,253,734,233,563,316,869,752,755,628,539,422,908,527,628,504,846,
505,762,887,888,137,346,978,434,081,636,524,750,335,929,193,822,797,307,030,
500,043,535,512,111,362,592,847,871,953,858,763,156,003,495,641,167,616,485,
701,947,925,482,525,894,029,938,631,440,482,056,917,179,089,961,063,236,740,
800,114,877,195,243,800,195,690,255,542,158,800,822,570,422,511,179,092,703,
533,726,116,072,752,581,070,503,973,130,103,035,156,144,797,745,615,667,646,
904,901,673,641,571,901,204,640,907,352,771,928,043,444,416,415,457,812,140,
616,102,641,374,137,851,570,312,773,051,146,744,893,836,112,548,207,833,706,
750,441,356,987,444,277,856,311,600,185,449,111,385,779,694,983,273,781,099,
939,706,200,834,137,415,409,956,012,592,110,225,420,851,255,772,564,580,204,
296,639,629,399,836,861,018,239,789,672,108,515,961,602,389,257,099,090,637,
076,207,862,492,247,346,043,492,556,584,434,671,428,603,554,862,171,406,073,
900,907,923,834,494,963,735,750,714,033,589,904,324,228,510,906,629,554,317,
889,600,991,812,265,036,573,959,451,363,206,255,421,002,106,369,070,887,808,
981,795,267,668,948,294,911,687,402,899,409,380,481,390,251,562,499,614,792,
087,735,798,083,248,735,549,998,746,241,681,799,390,484,736,956,817,105,607,
258,891,507,692,491,114,214,250,207,603,062,423,513,122,741,871,796,933,617,
625,746,061,139,255,859,558,221,888,622,575,317,875,674,056,631,530,246,335,
859,725,167,877,881,810,129,558,565,599,131,958,520,998,887,527,302,511,062,
216,478,798,141,431,923,689,109,709,914,549,263,231,668,576,982,772,679,826,
516,328,673,870,310,024,433,735,087,438,820,257,076,288,680,884,033,919,873,
697,395,645,924,259,983,999,766,294,415,885,915,242,305,673,414,872,117,574,
649,740,941,478,742,018,385,075,223,239,579,374,910,152,414,120,439,438,533,
879,369,304,202,998,600,276,205,273,582,049,691,980,667,514,421,858,655,915,
724,085,173,782,351,144,523,833,497,407,128,967,492,779,011,600,430,234,799,
574,617,977,234,756,017,657,991,716,642,559,755,816,336,418,919,489,021,535,
413,746,822,630,430,145,435,907,565,240,582,971,194,260,644,519,130,669,933,
519,087,411,738,571,230,578,914,487,014,030,584,720,046,407,258,352,793,922,
082,104,373,955,777,231,889,107,691,705,059,774,693,175,398,022,964,913,065,
842,744,493,740,886,348,292,769,029,744,499,560,967,613,206,943,891,476,524,
713,976,274,235,812,037,996,058,810,946,059,035,325,186,005,954,790,420,973,
246,182,241,132,892,060,623,150,723,830,080,317,742,454,712,362,649,117,423,
547,205,014,947,674,476,077,787,913,552,369,844,038,564,648,100,594,403,544,
851,787,862,323,415,646,209,061,171,686,564,718,292,638,554,647,059,330,975,
185,466,474,965,932,571,577,700,196,295,484,259,905,687,358,455,832,017,755,
868,925,817,878,119,492,388,459,794,515,239,431,696,012,681,048,125,586,886,
968,210,360,404,068,004,803,760,070,194,653,118,337,667,440,348,547,359,210,
524,528,062,245,334,741,978,344,992,848,940,560,145,700,492,121,987,637,825,
855,699,867,489,799,288,006,282,159,627,625,287,903,789,085,289,908,126,380,
354,551,016,477,700,495,017,982,368,890,819,656,434,524,431,175,370,086,290,
282,835,827,140,805,477,912,724,457,881,009,012,058,107,278,397,451,762,667,
660,081,445,653,817,287,095,890,784,025,528,920,458,079,422,875,657,615,832,
288,623,837,610,799,006,739,621,391,726,272,321,022,769,201,712,807,440,229,
752,843,305,353,081,572,137,197,621,559,932,033,566,164,265,172,823,053,549,
648,840,795,204,908,669,211,080,669,710,534,319,538,209,149,921,439,870,525,
881,353,337,955,536,107,964,855,818,089,564,966,518,142,985,638,893,014,193,
960,850,109,611,236,277,283,306,212,974,821,550,441,723,586,826,826,521,721,
663,045,930,003,318,170,540,260,439,251,707,530,263,858,893,531,971,760,619,
433,256,316,153,581,757,838,152,693,764,001,570,824,442,760,796,110,284,528,
146,529,254,687,628,711,048,306,054,267,709,277,785,487,762,709,232,449,749,
209,090,100,016,803,795,602,010,267,322,780,903,168,963,224,554,226,315,966,
498,322,004,448,212,585,176,273,893,596,663,300,690,439,602,958,903,682,609,
823,094,651,207,650,507,747,979,704,140,495,114,389,800,995,355,944,224,456,
713,270,801,138,512,410,507,467,954,613,915,167,672,939,317,384,026,606,237,
060,661,683,140,485,303,376,616,220,804,420,659,447,474,987,784,994,180,312,
251,662,447,539,516,326,299,630,178,813,953,592,091,461,418,212,065,941,297,
205,994,395,960,011,827,582,796,127,963,135,272,280,141,410,638,230,812,726,
430,279,591,235,462,316,744,181,302,398,069,883,795,194,092,339,060,819,898,
337,798,019,461,541,304,939,403,778,609,478,065,425,169,353,875,258,655,029,
592,537,449,604,439,070,482,991,705,251,199,563,144,059,821,078,106,693,284,
641,448,390,882,416,438,047,419,466,651,369,605,452,887,516,841,095,058,974,
162,474,218,079,762,353,105,111,943,671,395,977,816,596,271,844,387,306,107,
602,073,857,892,623,932,113,661,956,246,575,187,315,706,093,268,797,810,992,
814,362,496,670,991,206,639,081,393,621,886,778,917,238,129,183,875,127,209,
182,709,536,749,610,862,253,768,017,079,614,627,233,827,661,234,129,508,175,
349,509,640,100,988,493,224,858,218,088,093,411,503,761,487,909,531,417,451,
013,318,349,879,002,237,480,518,969,637,846,702,522,390,456,300,798,555,189,
763,650,502,994,096,072,491,556,505,998,733,450,508,333,892,878,192,325,501,
041,749,569,861,954,101,878,865,641,616,165,072,161,491,959,975,918,639,761,
964,140,310,252,731,655,449,794,933,607,361,537,135,421,729,365,525,769,115,
965,277,358,517,868,844,776,005,572,202,517,022,703,224,897,145,318,664,105,
429,284,389,575,313,359,077,872,473,614,322,551,673,929,246,614,452,412,343,
507,077,516,601,500,986,729,318,399,649,303,930,180,264,807,988,989,983,405,
980,361,824,571,828,567,431,084,216,146,838,704,868,483,979,733,059,052,695,
621,767,182,596,265,389,668,508,007,223,666,132,047,091,731,864,958,974,094,
293,316,476,740,724,372,266,311,698,720,656,255,034,571,985,477,511,357,169,
411,439,525,005,930,664,759,736,968,287,958,103,723,869,165,386,174,305,075,
667,656,407,533,776,361,808,203,561,217,398,105,740,178,126,865,975,811,483,
877,668,470,563,913,393,017,119,197,423,887,006,327,752,107,681,477,909,541,
038,611,676,726,466,431,730,701,251,943,438,707,101,466,410,896,501,335,013,
083,199,786,424,400,226,220,832,775,096,174,069,505,995,681,353,991,765,947,
296,137,952,968,204,757,049,963,694,578,470,592,007,191,675,972,648,304,319,
244,214,011,045,890,316,486,438,196,584,583,217,692,161,022,766,741,273,234,
733,058,973,681,330,513,322,207,680,940,304,308,070,361,703,351,888,828,498,
251,327,728,708,805,479,068,804,621,705,848,785,120,448,703,105,984,639,579,
693,673,582,776,538,296,455,530,721,694,741,102,609,363,058,777,876,450,900,
029,513,670,013,395,813,263,074,445,257,459,721,983,868,793,767,917,786,381,
123,636,271,855,716,725,079,067,724,624,178,052,364,947,921,624,533,511,676,
585,885,810,357,081,340,994,328,489,321,482,820,886,733,581,598,764,246,571,
945,739,499,346,341,202,258,009,969,667,435,810,201,855,929,127,129,198,092,
589,602,048,547,324,297,182,596,168,135,155,061,117,176,332,822,602,479,175,
731,188,326,699,826,464,954,411,328,386,642,789,535,768,954,494,867,631,151,
826,222,325,870,859,284,515,600,119,378,192,609,927,124,022,487,696,978,360,
252,577,425,447,264,039,442,354,410,595,156,869,110,238,046,994,317,105,728,
847,734,441,889,411,619,537,967,301,893,335,859,162,487,304,626,291,305,333,
362,455,867,603,823,413,560,276,398,572,640,899,983,171,980,892,712,841,371,
464,775,766,729,519,009,078,318,650,690,252,066,051,085,249,339,197,914,822,
884,290,781,546,088,958,667,701,286,096,782,233,449,405,723,229,626,050,661,
496,982,415,174,998,896,158,676,337,656,949,170,547,615,799,245,446,822,917,
277,332,137,758,703,295,187,497,929,330,191,798,790,986,635,662,716,157,864,
906,067,950,407,087,688,188,291,701,082,490,806,467,907,461,894,842,222,105,
785,804,916,853,284,281,199,591,496,310,837,440,782,213,855,270,144,623,126,
452,031,330,031,699,731,602,384,416,282,060,991,134,787,017,831,700,616,985,
566,384,683,245,607,064,499,631,276,916,779,785,390,067,947,229,928,416,591,
718,532,392,170,874,965,490,847,153,514,286,295,642,009,087,236,561,996,037,
890,719,536,913,605,796,380,318,442,693,260,495,491,322,163,182,128,727,359,
584,839,743,995,188,307,924,176,159,443,972,347,922,358,310,963,512,561,735,
892,353,815,747,974,514,515,981,391,686,169,566,666,645,044,938,581,476,683,
569,114,562,050,655,686,229,304,582,406,663,128,064,085,234,383,842,534,914,
736,365,576,462,272,578,634,977,812,319,308,493,046,406,690,457,184,230,866,
664,538,882,336,920,823,442,132,392,264,973,515,655,655,998,519,772,929,943,
962,963,767,116,542,159,546,779,208,367,491,868,843,664,785,990,742,282,249,
067,802,345,917,966,470,223,979,000,329,683,169,985,629,799,494,746,471,202,
631,723,479,716,970,801,505,072,658,904,029,051,061,679,831,021,108,153,837,
257,017,229,508,751,425,013,052,833,047,191,201,291,529,479,887,407,133,037,
997,955,608,975,049,340,264,199,561,491,009,029,272,854,185,404,849,006,584,
540,580,562,495,330,378,019,335,195,290,961,465,212,319,006,603,899,956,926,
354,399,729,144,307,953,482,287,017,530,689,768,739,083,601,298,878,324,273,
306,166,721,427,131,161,970,880,531,203,608,129,233,127,652,910,449,469,979,
786,084,958,641,112,958,502,552,145,032,178,241,934,868,012,373,950,805,329,
965,540,680,635,110,985,341,425,243,992,132,929,343,711,358,633,016,071,553,
138,558,968,092,042,126,362,303,348,871,572,949,381,567,051,934,006,347,659,
606,675,296,705,690,086,190,538,264,836,040,420,447,439,281,137,689,862,589,
052,012,992,838,732,472,471,944,748,353,315,606,481,812,399,092,684,657,317,
979,249,227,512,406,835,945,699,087,533,199,666,375,178,725,116,199,310,512,
335,561,718,445,926,534,098,168,785,192,938,959,337,210,457,299,011,452,061,
742,813,216,850,644,164,765,824,312,795,712,775,745,580,580,866,500,387,097,
645,585,006,759,502,515,544,860,486,470,398,304,767,882,816,839,401,636,719,
861,291,393,167,527,370,177,671,034,414,896,605,464,546,266,446,561,358,464,
969,170,744,154,629,488,691,268,500,472,330,641,354,653,823,673,612,833,775,
060,262,635,346,561,163,648,103,876,895,410,711,811,395,722,214,994,297,342,
753,335,691,089,231,650,417,959,003,283,338,608,009,211,115,085,036,917,445,
693,011,298,929,670,291,569,672,048,760,545,361,905,500,557,677,074,176,760,
194,407,978,546,458,921,736,333,857,192,931,634,666,241,953,991,026,305,744,
673,370,368,771,677,328,367,356,219,547,035,960,928,996,101,372,526,937,683,
221,304,112,353,080,698,176,760,774,798,206,278,801,117,659,880,406,964,774,
652,530,677,090,876,521,154,952,928,975,329,445,787,223,995,928,452,762,085,
206,233,618,623,409,577,618,731,444,475,535,191,904,276,542,839,033,963,720,
625,780,519,665,819,591,090,107,382,465,786,359,455,524,751,363,606,580,318,
116,444,345,737,324,854,812,071,661,796,116,680,207,584,485,856,084,924,851,
964,662,662,945,177,939,310,403,835,435,124,035,984,999,250,471,143,535,547,
815,173,395,052,135,227,929,837,137,055,228,384,710,485,422,772,390,481,662,
513,324,074,184,530,703,295,638,487,107,156,261,152,975,458,877,947,827,331,
726,754,252,871,700,066,768,891,331,653,666,160,557,081,022,715,060,322,189,
165,770,833,592,277,552,432,855,364,998,196,410,170,003,282,797,645,637,168,
538,307,104,792,982,588,841,586,134,890,365,866,244,605,697,852,122,224,695,
582,912,974,143,397,451,082,859,233,568,299,826,857,174,874,482,956,404,569,
974,026,182,152,200,802,272,153,761,657,403,472,811,633,717,307,241,990,600,
796,320,351,049,475,290,808,168,225,670,743,084,923,259,655,871,331,436,609,
129,481,273,109,746,638,746,249,417,850,809,236,766,335,809,356,043,250,966,
762,125,281,131,161,909,973,125,242,883,544,428,507,790,601,809,688,199,200,
355,175,242,573,595,779,287,642,226,168,955,242,279,297,798,146,296,436,922,
351,885,739,531,092,765,090,966,358,351,597,062,182,603,087,555,696,585,866,
255,885,726,973,396,881,394,177,010,398,913,121,495,542,912,359,417,028,470,
713,556,986,257,419,756,434,255,548,556,830,937,230,701,873,446,243,034,401,
346,688,314,946,424,539,217,643,339,361,077,736,334,955,447,128,917,571,987,
165,632,893,994,273,172,757,550,430,738,886,743,303,667,464,115,044,043,989,
223,271,268,033,605,085,434,516,270,868,958,440,182,226,880,202,397,733,923,
777,507,680,938,135,323,617,447,140,168,476,705,500,747,232,474,224,590,443,
431,273,769,955,966,696,533,841,228,862,130,799,204,168,240,621,140,873,447,
865,223,034,726,367,076,308,576,870,119,422,401,717,339,115,258,445,245,598,
023,838,127,188,807,078,045,977,283,710,511,981,077,075,652,278,642,734,237,
791,041,207,285,729,486,180,145,323,747,482,278,393,355,719,020,517,088,744,
882,166,005,179,532,917,230,537,929,858,678,398,869,971,314,104,235,127,678,
149,513,610,055,529,560,884,532,815,513,476,563,270,521,254,270,951,917,456,
749,160,325,523,945,995,433,141,101,641,502,920,359,256,201,133,914,106,903,
105,646,062,457,952,324,964,140,764,102,814,121,237,962,851,467,489,840,575,
064,462,097,106,185,937,354,427,818,065,150,522,537,441,453,432,415,240,191,
873,089,707,617,995,733,966,449,800,917,176,875,239,697,292,806,749,696,721,
245,459,320,915,851,378,868,385,492,178,459,238,035,220,128,836,497,411,739,
960,078,465,691,039,272,915,341,866,969,088,893,576,380,280,422,239,194,498,
134,400,522,178,429,858,191,129,580,317,502,501,188,167,149,131,223,582,959,
536,242,349,802,930,686,227,556,577,911,172,871,110,197,285,473,445,910,515,
391,755,074,745,238,706,157,808,026,338,907,723,970,366,409,379,310,394,886,
109,691,050,486,264,584,324,226,762,515,860,831,171,520,595,653,465,224,465,
680,835,363,329,928,289,223,024,190,849,505,187,020,352,812,704,159,476,445,
154,667,285,681,522,550,779,888,549,114,746,061,510,700,493,777,575,479,907,
303,859,321,715,573,997,708,021,173,903,529,825,154,494,427,823,297,098,211,
247,739,316,029,574,065,425,725,310,386,788,823,967,905,079,954,498,450,347,
674,266,749,812,514,261,446,677,804,676,597,848,771,309,270,776,108,758,367,
054,125,589,892,652,831,838,206,462,276,245,984,943,820,761,130,600,110,364,
052,070,283,586,186,024,215,394,938,039,681,220,752,109,073,353,835,796,015,
981,840,731,347,469,424,023,301,349,369,615,789,135,934,950,751,853,563,629,
318,891,000,494,523,172,588,623,203,114,043,469,712,512,840,710,846,735,187,
938,442,247,027,475,032,575,358,648,319,105,391,898,756,826,938,426,785,782,
457,900,060,611,855,895,549,700,674,459,051,736,163,095,299,917,009,360,354,
229,973,882,873,852,443,079,701,090,907,740,488,945,357,226,923,250,077,794,
274,712,126,253,576,724,133,793,425,701,478,062,949,619,738,284,393,574,825,
668,468,241,497,289,851,339,231,406,829,547,555,738,625,170,690,710,673,645,
568,978,466,530,049,069,905,845,040,729,348,827,583,659,372,079,192,540,451,
945,897,621,173,149,199,067,816,450,674,591,636,987,442,786,417,617,778,002,
018,934,761,155,576,866,591,035,007,519,087,333,827,913,816,210,690,812,274,
372,732,562,066,031,558,567,878,863,585,414,971,038,950,705,020,055,741,682,
493,101,773,902,639,171,672,292,469,286,594,758,712,861,166,627,795,245,390,
279,814,064,822,570,107,528,677,961,183,841,982,706,081,986,321,047,883,246,
083,584,890,239,160,406,451,764,469,481,446,262,210,103,349,927,224,945,903,
596,050,186,553,807,483,185,069,954,290,983,675,143,953,140,571,889,866,619,
262,162,865,784,543,021,922,295,542,408,744,996,213,667,401,459,065,827,691,
556,890,679,039,026,165,142,338,048,096,545,410,753,845,339,218,056,045,191,
152,993,587,893,589,256,466,784,585,863,020,922,979,083,570,863,013,555,143,
582,731,541,719,267,196,031,181,492,664,507,143,223,962,668,558,595,181,274,
461,070,383,879,490,846,026,471,118,205,385,061,675,910,806,672,526,886,531,
010,015,485,453,324,770,757,526,751,092,451,326,715,470,315,543,883,291,479,
355,600,010,309,984,124,280,896,947,684,828,520,142,300,749,083,513,299,186,
988,485,214,252,072,538,237,922,618,206,145,981,752,753,145,481,452,272,903,
985,579,141,317,677,252,106,490,179,968,945,891,975,028,361,795,989,349,068,
233,933,365,612,160,356,357,065,077,676,381,221,479,023,810,589,873,689,605,
620,769,408,738,523,563,087,642,654,309,038,900,700,226,132,809,682,720,206,
072,480,828,249,569,719,835,803,145,606,699,169,590,221,458,632,897,162,663,
135,633,801,258,802,760,872,169,030,603,611,169,782,427,814,324,699,365,990,
929,440,838,115,683,540,023,264,788,919,322,292,608,681,217,382,370,772,795,
277,052,377,385,694,639,159,970,405,349,433,230,831,714,207,426,181,226,633,
605,412,023,625,342,869,089,854,133,207,082,381,305,261,694,025,809,564,431,
029,633,120,114,820,861,274,923,465,141,187,474,009,279,679,523,500,565,138,
435,686,065,417,347,331,176,898,829,326,961,609,824,647,831,774,075,284,877,
894,526,689,503,573,834,286,939,256,975,470,867,597,983,874,648,656,918,544,
396,665,902,120,578,936,032,158,461,939,712,703,797,458,984,734,280,737,192,
341,895,042,127,195,874,057,203,140,748,011,756,242,460,738,541,121,852,834,
785,535,485,688,041,788,852,609,322,025,430,222,224,114,094,080,973,919,884,
512,345,403,260,816,271,229,558,732,526,483,708,782,566,857,889,434,094,765,
255,725,709,046,044,693,209,078,043,651,572,975,561,810,847,360,561,270,479,
282,013,093,819,532,117,895,353,549,826,120,299,052,854,369,980,239,457,217,
221,473,397,741,216,329,818,754,074,623,881,083,284,708,961,187,959,082,080,
158,332,210,129,567,413,001,928,660,293,332,953,688,773,420,173,659,600,959,
357,546,418,600,361,522,016,072,619,013,030,590,076,648,582,888,924,648,535,
456,480,743,410,696,381,279,951,943,003,267,168,465,829,641,358,316,143,755,
202,673,722,571,586,078,631,283,777,991,446,749,285,752,227,242,283,354,202,
072,589,902,827,216,198,951,047,076,769,894,957,699,333,109,668,917,352,608,
335,545,148,236,043,634,496,479,503,211,634,162,179,257,887,129,814,443,953,
798,343,182,792,969,643,849,985,650,763,156,953,054,325,463,836,051,042,112,
347,572,262,399,311,300,803,117,214,555,668,946,109,263,941,286,995,877,295,
277,178,936,053,796,148,057,966,418,895,917,490,456,235,981,878,404,852,654,
988,826,125,520,591,934,532,589,133,430,104,939,868,665,376,526,946,755,482,
214,016,376,360,953,538,595,118,401,173,616,208,130,662,874,555,143,390,352,
157,635,462,893,336,940,869,896,246,978,317,742,263,099,630,599,777,509,557,
539,509,309,270,730,481,893,473,579,763,947,065,262,083,154,672,430,423,819,
618,897,661,257,980,914,851,357,890,606,113,240,096,969,787,957,712,096,179,
085,539,157,676,147,130,651,463,931,448,191,581,950,908,605,445,492,471,562,
192,528,421,372,055,078,151,884,157,411,750,051,095,871,092,234,211,813,245,
260,517,519,981,230,870,617,929,884,775,562,610,795,102,710,952,794,202,195,
497,746,164,796,955,962,130,735,846,897,048,502,678,294,801,027,691,849,010,
432,677,961,845,421,805,965,353,736,892,023,574,915,325,833,833,252,889,464,
598,625,296,843,664,865,080,358,317,078,973,093,481,601,600,341,715,731,680,
487,200,793,129,824,100,938,225,590,055,632,167,967,131,577,457,950,514,261,
880,114,507,338,291,496,552,173,530,199,620,111,167,766,652,263,734,439,240,
415,678,442,599,324,835,033,014,264,919,405,657,744,020,346,368,882,659,795,
295,360,927,418,584,766,898,701,935,355,730,605,651,440,412,443,981,411,808,
727,850,052,801,547,873,843,292,511,613,617,255,767,956,653,711,498,218,263,
171,636,129,128,898,460,812,746,963,050,258,015,655,992,988,765,914,514,309,
383,163,479,949,759,364,557,521,942,773,902,331,658,634,198,073,679,825,376,
862,172,598,319,760,790,231,009,381,586,333,662,146,047,253,439,438,217,220,
432,004,150,187,313,568,832,029,211,897,622,696,812,305,996,356,339,294,131,
246,131,968,495,187,536,887,318,809,931,873,053,990,444,790,352,784,952,970,
579,599,348,263,505,098,094,160,551,103,126,495,137,351,705,680,285,585,431,
916,519,960,156,428,397,251,275,750,447,410,933,575,853,588,267,606,488,785,
639,289,054,073,882,305,905,251,041,304,809,339,761,338,683,123,035,817,953,
430,038,004,632,905,057,659,882,687,824,624,669,695,743,444,905,541,848,600,
682,873,143,338,703,743,397,246,244,782,574,898,862,674,308,940,502,081,420,
735,427,401,103,344,350,103,382,881,148,152,632,683,436,986,843,526,518,716,
114,304,382,319,390,093,998,550,678,818,853,102,256,065,294,767,065,958,581,
163,947,920,589,494,639,591,605,043,736,344,850,123,577,396,776,144,289,001,
512,190,227,770,361,549,272,979,779,224,477,957,660,982,677,316,435,055,113,
884,347,560,382,027,589,295,908,063,222,840,350,606,942,721,859,270,770,309,
764,959,838,529,901,500,460,604,264,495,836,585,407,657,432,486,265,039,643,
116,013,689,073,344,903,831,600,507,135,293,954,971,522,687,380,972,039,468,
423,698,917,076,011,730,398,401,940,524,896,906,154,678,195,595,965,933,510,
452,822,994,756,240,171,959,288,256,698,170,230,411,247,405,871,833,312,179,
412,303,955,095,595,553,303,148,810,741,007,414,159,887,971,401,449,451,863,
580,975,253,442,534,281,106,445,467,483,547,608,398,741,671,893,675,447,680,
699,847,922,798,788,228,144,059,586,913,397,146,839,567,920,052,155,408,156,
371,077,326,825,702,568,414,442,687,817,949,395,802,284,137,053,823,270,397,
144,110,980,540,646,656,711,361,347,718,710,325,963,219,250,478,640,357,221,
681,690,055,613,997,012,304,991,855,149,763,541,913,881,068,534,218,339,736,
463,812,635,285,094,740,593,238,837,820,134,197,380,690,503,600,326,365,117,
397,669,260,336,418,552,932,858,141,548,479,555,872,009,897,773,060,641,755,
496,993,720,589,223,514,476,743,389,491,603,464,343,385,649,503,727,241,970,
644,510,804,405,574,534,556,563,702,532,164,525,187,345,490,226,343,715,652,
314,098,898,808,593,292,573,918,854,537,276,777,257,656,823,795,800,143,753,
835,977,235,007,471,209,320,627,459,817,365,679,284,427,603,276,146,121,491,
703,067,289,457,628,063,531,816,792,047,149,179,996,409,762,919,326,664,725,
405,791,732,070,675,485,519,492,548,421,008,626,808,191,103,527,224,853,025,
456,556,765,112,554,265,804,171,514,078,776,250,556,250,430,715,885,525,913,
978,138,162,214,420,126,558,635,404,021,316,058,144,370,047,023,518,242,078,
441,935,734,245,634,760,366,753,699,163,331,065,624,986,930,752,980,348,858,
004,377,779,676,295,544,255,223,778,636,288,489,373,009,555,425,723,861,053,
426,451,039,765,633,880,305,381,891,712,409,458,859,102,566,478,324,527,371,
651,076,295,939,267,820,136,542,462,510,775,108,673,548,803,863,206,260,310,
422,375,922,495,670,853,949,084,301,156,368,967,620,246,169,604,618,769,444,
845,736,288,837,358,951,161,432,988,045,805,678,178,173,689,883,257,969,629,
663,291,123,828,009,745,442,434,808,020,869,025,777,068,190,288,219,389,329,
519,863,685,495,053,077,796,585,072,907,873,459,263,050,665,051,279,607,356,
129,510,541,298,737,745,100,476,650,266,607,685,594,535,772,177,823,000,671,
071,275,114,167,753,042,701,472,658,608,724,276,181,087,711,665,627,159,220,
294,957,238,836,443,532,685,437,279,170,948,563,752,837,016,561,286,540,259,
812,626,635,459,951,055,285,096,342,351,922,568,179,778,956,383,339,131,310,
049,547,850,026,969,591,470,618,164,363,820,191,617,571,636,144,554,980,097,
898,861,991,188,782,688,732,268,877,319,691,725,317,207,522,855,105,335,635,
562,895,839,272,619,402,926,914,346,003,605,052,649,696,154,596,478,456,771,
159,149,765,101,469,273,195,561,680,119,273,822,542,035,359,099,934,702,156,
296,979,536,368,711,177,657,015,694,539,814,372,462,311,476,945,418,233,300,
615,624,055,156,593,148,130,742,195,128,994,983,714,432,968,780,697,200,572,
066,651,872,238,726,607,862,343,558,941,296,670,555,430,784,860,578,169,512,
254,007,261,963,016,631,540,025,722,420,836,229,864,296,224,208,568,818,925,
650,762,066,342,712,734,254,940,799,174,416,167,640,174,196,395,361,521,850,
490,277,699,395,726,017,747,063,099,371,288,382,665,462,949,299,773,264,272,
876,342,833,690,792,201,134,665,204,390,489,741,134,991,808,773,279,049,664,
507,527,621,190,297,956,864,646,684,294,935,195,872,505,850,315,812,855,202,
594,118,522,798,903,287,453,781,251,386,076,321,356,359,166,711,531,695,678,
859,430,381,969,927,314,647,161,222,615,173,440,872,251,279,427,414,778,677,
052,704,957,554,157,722,432,782,358,801,469,569,688,767,719,364,537,578,288,
857,243,462,182,299,495,577,186,281,101,492,705,852,276,875,364,446,588,023,
658,536,876,771,418,026,513,323,605,355,728,086,339,986,344,802,049,678,494,
970,870,166,381,401,252,908,065,011,762,876,638,038,323,416,176,491,708,040,
424,003,177,474,889,480,284,026,877,456,146,551,903,592,876,184,402,411,744,
330,653,370,486,090,795,003,374,504,228,764,083,434,876,723,968,822,944,491,
621,602,682,969,906,599,326,580,823,098,758,044,688,280,260,645,253,198,544,
851,728,711,972,783,875,587,432,900,267,285,187,156,612,287,540,120,402,525,
522,112,035,762,392,794,480,509,050,880,589,194,911,312,887,579,244,401,157,
066,820,228,986,421,047,181,783,273,101,643,769,681,124,904,919,010,309,871,
865,326,529,952,345,262,730,618,223,837,965,120,806,173,305,839,229,992,123,
741,062,308,830,277,895,695,443,047,565,893,527,748,361,641,143,491,838,543,
795,548,789,648,147,096,127,287,407,437,225,469,972,635,984,796,160,888,944,
922,646,135,297,445,008,079,908,661,085,651,174,571,856,683,224,154,745,761,
984,585,575,723,191,463,101,721,370,883,599,610,289,577,496,572,840,372,303,
749,665,788,303,845,255,592,307,814,979,285,664,564,247,433,776,001,821,436,
340,998,706,062,016,648,540,101,280,561,102,652,465,293,645,579,357,008,087,
007,668,719,276,223,447,269,611,831,291,657,530,397,328,554,572,036,182,932,
993,774,174,267,841,930,658,911,050,208,208,387,811,172,248,332,292,110,370,
052,515,530,359,144,241,999,656,594,685,804,655,856,392,175,466,932,472,072,
738,707,808,426,859,461,566,883,500,857,190,522,524,099,802,825,102,304,122,
798,698,386,006,839,263,095,132,726,095,449,070,991,456,841,747,145,481,129,
516,921,703,131,549,934,289,557,740,781,965,772,441,055,785,455,186,059,731,
162,433,058,154,378,040,931,894,901,599,169,508,632,148,163,963,460,103,597,
838,189,059,791,815,296,529,375,732,487,068,640,087,869,858,812,464,263,494,
519,950,921,658,595,622,816,498,840,364,875,450,949,151,261,456,679,785,357,
973,591,964,437,230,623,650,400,310,266,293,357,150,778,362,558,268,902,986,
415,162,907,166,222,730,217,948,429,394,967,324,558,952,139,589,570,864,180,
493,514,401,568,627,807,532,682,175,206,905,049,051,439,138,444,943,926,997,
910,950,197,176,203,298,238,734,731,069,198,881,783,718,950,498,531,833,735,
858,895,108,438,141,478,660,363,755,838,265,608,471,972,464,740,749,654,643,
415,850,663,003,628,688,593,765,399,828,357,964,395,045,467,851,082,287,596,
579,528,006,479,234,177,493,388,556,520,339,412,517,230,909,093,079,378,766,
612,092,886,747,884,865,883,820,841,352,370,959,378,768,823,192,509,968,855,
210,742,542,005,968,210,343,117,154,344,424,823,770,906,992,968,378,556,505,
145,209,633,498,010,474,478,517,825,038,464,801,040,720,461,576,442,390,632,
243,108,330,635,667,513,041,802,064,604,623,031,830,998,695,109,392,133,664,
542,526,688,535,283,309,376,838,363,799,085,011,014,789,270,717,631,969,969,
876,762,792,452,625,285,831,359,949,080,211,982,663,474,790,390,905,152,692,
868,862,609,718,284,469,950,705,275,811,820,732,421,465,204,884,125,758,207,
330,927,138,801,724,710,544,963,458,902,552,026,515,415,785,888,234,051,268,
592,711,615,977,621,953,550,452,418,742,797,828,781,645,854,461,708,246,636,
220,071,398,211,364,197,014,934,314,080,416,707,325,119,962,964,806,139,431,
980,174,105,831,339,374,625,477,451,812,294,534,027,868,821,470,048,104,338,
326,758,115,943,478,010,264,445,710,477,875,467,821,460,286,702,555,490,963,
931,319,446,618,322,289,189,876,199,794,131,821,319,556,640,792,917,442,653,
537,294,541,225,881,263,616,209,772,339,037,729,985,110,460,270,387,918,811,
765,952,185,107,635,270,242,919,992,861,460,535,334,125,421,989,870,340,250,
032,894,598,316,005,886,095,799,641,577,071,296,330,567,033,203,939,876,504,
893,492,081,607,543,657,175,739,443,602,482,791,139,229,075,314,566,675,558,
605,232,099,988,125,288,377,281,895,757,173,063,711,819,304,373,625,681,915,
048,784,343,908,849,181,126,734,842,918,404,343,117,039,621,350,769,359,726,
045,374,481,262,533,452,502,367,616,892,945,791,244,090,116,482,105,829,300,
637,858,954,139,789,643,294,879,357,345,855,050,071,918,148,695,571,201,751,
297,977,208,090,484,562,070,024,538,419,168,438,089,871,045,812,246,536,407,
629,268,805,502,335,249,503,583,661,723,560,567,966,872,015,197,800,992,200,
212,543,621,801,413,633,916,636,502,278,317,289,188,037,800,909,570,440,227,
459,236,601,622,907,833,132,016,731,692,054,128,283,995,338,189,109,099,072,
862,570,648,404,720,658,229,359,449,043,704,994,860,206,386,789,401,786,136,
804,937,253,270,782,953,316,618,572,708,806,897,316,386,613,365,774,564,777,
039,612,944,980,897,658,260,981,680,713,088,412,189,812,646,414,364,069,949,
999,366,495,838,950,431,317,159,838,183,563,726,716,354,958,401,590,839,860,
271,755,607,218,125,320,453,917,843,352,697,237,274,651,647,885,239,958,667,
556,791,895,259,938,713,744,047,134,065,560,560,021,839,686,249,515,989,497,
628,623,791,120,727,375,287,989,158,902,655,453,252,577,264,249,190,301,086,
607,036,763,752,646,467,927,350,936,519,090,579,307,696,365,489,840,128,096,
242,385,703,674,000,958,410,898,149,284,728,143,263,736,125,762,841,820,355,
190,943,370,883,788,223,772,513,793,896,672,412,204,870,777,261,960,774,776,
984,999,253,671,166,649,685,786,915,268,586,676,117,010,058,996,167,448,871,
179,700,128,555,821,850,559,251,513,391,632,431,072,510,409,356,361,962,251,
361,756,268,713,002,914,753,011,131,318,556,427,009,652,891,744,408,586,157,
272,032,168,028,850,599,252,492,968,796,376,813,973,442,519,828,404,184,089,
314,844,798,144,501,685,549,842,428,848,472,626,301,797,643,842,969,649,526,
904,722,716,171,677,679,881,217,813,467,728,460,017,516,266,707,061,168,246,
703,600,833,333,608,274,041,650,130,132,581,892,111,830,306,978,334,289,278,
598,430,322,743,084,322,378,653,900,885,082,586,320,182,074,207,198,598,557,
191,801,163,964,397,141,487,139,211,269,978,016,972,977,081,659,962,391,708,
827,254,922,071,869,585,793,112,104,463,302,774,966,115,844,695,156,633,786,
278,102,771,902,163,673,116,611,721,374,453,395,388,031,606,218,510,638,547,
661,393,051,250,495,297,459,980,628,386,488,655,467,334,220,121,024,453,527,
180,129,198,462,067,002,542,572,717,078,046,015,180,864,249,239,803,262,616,
872,251,385,586,988,555,202,673,228,601,452,210,878,581,637,528,279,786,249,
542,793,293,300,316,792,611,436,348,077,887,194,321,846,031,171,504,413,217,
524,720,821,141,988,445,266,228,677,382,348,662,986,832,882,179,591,728,721,
190,415,738,689,794,358,034,623,380,743,710,613,594,100,671,637,262,944,741,
657,333,517,433,361,470,828,363,628,066,050,555,736,781,619,214,935,468,474,
804,456,118,009,690,987,640,387,238,068,249,250,865,160,200,582,106,928,710,
192,877,746,747,268,961,776,635,017,205,909,282,907,453,623,309,940,150,069,
652,132,590,103,286,049,475,862,559,261,606,871,747,026,588,706,090,217,580,
027,107,721,519,300,790,151,102,263,291,148,805,456,028,776,664,412,971,132,
858,025,936,350,489,837,467,857,158,796,078,301,517,751,738,478,236,162,733,
091,834,507,572,813,915,904,880,387,080,481,115,963,639,681,772,660,815,758,
623,267,781,426,513,536,119,824,211,513,064,390,641,115,317,877,043,299,934,
153,598,317,275,957,399,532,240,849,380,715,838,306,611,642,370,501,663,141,
345,712,478,503,431,288,933,109,449,588,019,106,461,339,003,823,093,152,034,
414,820,065,773,918,992,611,905,470,117,744,216,254,121,024,516,583,547,818,
065,322,343,789,352,842,596,426,256,954,668,035,638,747,652,267,019,139,111,
859,322,477,626,838,533,515,718,830,354,417,238,857,517,193,529,631,001,609,
847,398,411,921,754,432,431,866,926,187,580,699,010,409,127,279,106,391,191,
029,712,842,274,683,638,628,995,934,827,694,248,472,429,377,269,512,332,802,
660,328,770,624,656,214,380,385,290,476,165,257,018,974,962,062,840,621,387,
004,358,853,574,282,261,252,797,240,234,995,708,189,601,396,608,463,843,140,
193,562,733,181,991,495,119,237,779,658,142,940,326,456,165,193,428,804,129,
247,104,730,654,869,617,264,865,387,258,838,998,001,930,945,019,091,319,598,
985,545,266,196,434,455,762,060,009,740,194,847,269,582,131,556,300,715,651,
790,662,997,715,815,363,139,298,547,646,987,505,226,079,114,957,042,318,684,
811,580,530,998,709,128,287,903,625,152,683,281,637,270,914,424,424,577,555,
940,527,556,850,519,132,240,882,997,147,787,755,162,284,766,026,608,575,223,
439,714,639,855,703,563,854,655,582,265,486,857,165,540,529,461,399,062,485,
102,414,317,921,522,217,586,494,025,615,672,603,312,789,256,269,138,032,320,
963,232,731,968,273,925,244,530,016,639,822,567,911,947,053,495,172,114,029,
561,122,146,575,860,708,188,645,671,956,350,302,892,794,252,433,563,122,299,
703,861,141,268,184,551,115,083,352,137,158,666,896,024,792,986,487,590,455,
176,552,480,831,399,453,090,351,877,808,088,383,403,781,323,768,169,581,464,
537,983,102,598,656,054,931,453,552,218,413,838,503,977,272,423,980,836,538,
610,049,159,214,939,239,119,241,269,293,736,964,219,654,587,780,007,909,693,
408,458,699,861,471,197,445,631,376,258,998,990,228,197,827,372,500,250,338,
189,619,704,592,938,201,384,819,422,311,266,130,110,525,852,985,167,028,550,
848,063,373,554,512,082,499,669,547,451,144,470,630,867,469,459,324,999,456,
216,942,352,909,987,767,948,214,547,147,523,370,598,441,486,926,378,567,424,
168,503,828,055,455,945,113,501,673,870,390,166,254,855,731,382,569,165,994,
216,676,360,621,449,116,260,975,356,320,214,601,681,401,626,719,577,249,244,
314,234,604,947,033,433,828,686,351,636,759,058,741,355,454,152,449,655,825,
740,706,966,975,549,624,827,208,646,965,267,145,547,266,953,810,239,334,149,
724,382,753,322,709,663,685,622,289,467,449,723,501,958,803,514,873,330,862,
087,798,461,401,190,048,373,468,763,025,605,669,439,380,978,534,980,124,240,
098,006,080,896,490,080,462,044,783,376,320,447,342,759,346,655,878,917,775,
398,007,436,624,131,754,377,451,136,335,097,874,220,815,765,827,008,721,522,
556,464,459,087,242,393,467,103,582,136,055,956,522,763,768,003,681,131,644,
836,587,829,691,258,267,813,845,094,169,931,324,825,164,339,884,590,104,421,
867,866,163,529,861,367,350,799,074,067,406,502,276,919,234,668,625,873,884,
471,601,922,283,946,524,324,995,753,764,752,527,829,344,649,361,528,746,006,
789,029,600,188,508,425,147,350,691,266,764,060,251,547,526,697,036,523,987,
130,806,481,976,455,248,803,740,002,521,235,428,950,063,930,709,252,129,421,
355,924,733,077,008,530,979,854,261,784,641,059,404,073,774,513,019,361,249,
915,889,734,433,686,788,798,579,494,970,605,232,937,627,230,134,552,983,155,
845,395,104,581,909,670,812,824,574,851,122,935,100,310,994,805,943,169,233,
583,748,517,195,556,905,123,791,363,581,634,005,852,447,284,958,909,983,780,
799,430,294,872,713,848,443,961,654,563,835,331,949,392,059,701,876,500,224,
062,086,161,975,445,111,789,125,146,424,762,398,246,168,531,641,363,204,074,
693,057,095,785,964,873,114,356,097,402,947,792,527,017,561,781,308,009,799,
916,160,783,272,628,667,201,642,824,303,068,248,770,649,530,351,916,677,489,
212,037,185,235,287,038,448,645,950,910,491,270,028,414,989,674,384,554,844,
701,062,375,523,121,861,088,378,660,812,313,062,702,749,339,948,572,923,060,
993,594,720,519,267,754,198,407,936,628,908,463,246,499,345,917,690,554,598,
724,891,764,540,766,287,058,131,528,190,686,703,121,272,186,371,688,067,779,
986,836,591,783,969,757,644,901,696,025,432,358,450,093,268,182,938,978,629,
465,364,236,132,646,685,108,725,824,194,421,325,239,240,043,526,513,184,351,
046,629,616,593,374,182,394,356,970,571,282,600,882,345,017,198,345,902,706,
659,852,579,758,230,488,363,932,433,658,953,080,984,752,387,588,944,919,387,
969,587,312,334,510,846,448,045,792,468,703,990,911,268,052,686,971,864,966,
357,478,435,514,506,440,841,665,215,428,556,791,679,610,893,293,061,841,694,
796,068,096,785,269,278,512,821,798,250,400,392,096,739,551,285,256,818,822,
528,980,980,900,481,168,316,803,749,999,626,715,099,287,299,388,503,007,993,
483,283,421,902,692,709,050,235,531,255,302,824,654,823,360,524,461,582,670,
469,559,995,965,263,627,568,564,003,965,552,278,188,799,640,277,904,849,651,
742,702,927,814,408,487,490,924,046,097,386,686,267,702,302,937,483,687,786,
439,141,584,632,719,313,730,644,367,395,469,341,841,057,226,011,305,062,702,
500,689,816,007,598,296,895,715,587,696,610,066,895,649,661,980,583,787,838,
993,934,777,719,475,606,094,804,498,575,887,151,978,241,491,635,542,701,347,
328,473,944,405,764,982,330,569,201,829,730,977,589,902,031,585,325,145,875,
999,447,224,752,913,859,949,970,184,279,343,037,383,295,069,089,239,391,861,
945,721,784,814,385,177,018,692,109,054,136,145,827,632,336,512,397,246,174,
369,127,707,925,678,302,228,704,337,039,822,629,197,666,107,910,748,875,086,
331,070,048,898,227,261,599,954,537,915,458,759,198,929,928,242,295,672,219,
609,779,099,071,924,632,349,839,061,721,520,161,316,319,457,192,088,693,428,
425,799,821,405,533,619,650,657,102,221,813,830,592,138,616,812,057,556,738,
325,990,352,054,457,284,675,501,520,598,009,437,504,335,956,878,074,641,677,
640,774,927,743,358,638,149,392,590,206,102,719,321,935,395,832,072,999,194,
153,814,547,136,625,448,790,843,763,327,092,266,197,350,086,103,353,852,383,
014,308,453,162,096,831,631,214,252,099,913,594,980,518,856,164,584,344,726,
666,155,344,488,516,042,280,899,316,481,740,307,369,017,832,069,280,222,652,
878,438,498,333,271,831,715,019,524,695,749,248,639,898,091,190,497,283,359,
905,866,206,279,841,150,044,331,518,855,309,835,363,457,047,143,241,379,227,
082,213,825,819,503,372,992,453,366,630,199,406,243,310,620,916,221,187,025,
155,243,821,951,101,805,518,733,794,651,192,716,285,294,572,201,020,847,666,
667,070,681,056,735,365,656,429,836,394,668,420,282,468,322,118,615,867,393,
552,117,274,510,247,752,420,799,743,535,482,930,205,279,242,295,023,875,275,
175,741,936,791,848,703,636,269,808,244,276,183,970,783,697,025,054,995,534,
573,723,656,830,298,324,429,415,577,373,772,768,962,440,152,873,565,182,648,
436,228,138,434,711,147,852,269,080,198,166,215,392,641,266,570,162,886,817,
809,868,050,397,781,640,174,010,418,413,218,116,397,597,418,669,907,847,274,
000,204,962,419,956,205,925,806,962,302,687,921,902,713,829,692,903,253,465,
225,109,243,721,210,550,303,864,882,777,685,909,742,063,179,728,496,296,196,
349,995,391,559,754,149,892,754,248,413,207,375,783,572,606,273,298,621,360,
296,244,231,400,994,190,276,825,124,466,639,070,061,547,367,676,851,391,751,
390,214,469,523,405,444,054,278,798,812,919,081,618,652,666,846,847,710,659,
722,602,512,798,777,673,551,749,058,504,294,059,491,974,775,903,563,837,032,
386,905,387,014,214,622,654,735,170,322,868,346,327,900,482,437,908,396,123,
994,943,692,674,577,341,509,739,907,808,518,229,320,543,162,679,725,138,868,
239,721,412,129,126,607,672,189,085,564,573,269,570,290,930,308,856,428,441,
746,815,726,330,342,916,499,982,337,018,555,314,737,650,199,844,225,528,640,
028,515,287,562,985,165,418,459,836,516,776,607,380,544,974,987,957,645,552,
899,016,953,427,442,530,944,554,244,761,977,677,379,546,296,279,324,441,687,
787,545,511,052,192,140,092,091,797,574,956,059,417,771,924,197,680,261,187,
150,598,836,913,794,355,135,401,977,460,181,519,157,035,724,034,914,580,987,
504,813,299,258,260,350,446,372,600,778,748,982,608,895,444,237,467,220,163,
387,683,820,303,931,117,136,276,137,501,156,704,885,531,711,950,010,256,317,
842,965,783,864,107,203,114,397,245,033,138,981,260,894,201,209,008,828,511,
687,647,609,523,294,801,133,717,145,475,744,235,805,799,459,147,271,509,496,
145,073,174,734,630,127,171,136,012,922,581,878,063,988,012,222,453,843,607,
458,079,837,786,625,563,216,740,853,528,806,204,341,588,804,550,520,444,199,
246,655,041,174,172,201,027,326,759,864,548,752,914,519,493,151,951,482,881,
305,370,702,477,427,555,255,824,123,091,374,876,379,483,894,138,532,257,549,
610,119,833,300,435,786,893,107,434,476,852,529,569,056,365,136,325,139,661,
917,916,156,966,133,224,405,690,436,786,746,787,411,912,540,976,140,709,570,
905,104,458,809,280,216,941,091,205,742,033,168,604,931,012,196,030,861,705,
979,515,985,851,714,109,430,875,756,226,695,277,117,656,149,448,401,234,082,
077,081,173,541,029,787,457,559,789,739,378,906,431,613,745,600,827,136,501,
313,705,936,144,487,022,701,883,339,122,869,707,458,837,169,415,825,558,615,
177,902,847,957,805,021,386,297,217,575,648,985,286,754,687,532,531,069,561,
975,854,357,533,698,792,749,071,615,108,971,186,983,427,145,318,098,187,149,
158,802,129,741,247,228,420,937,251,723,256,867,355,996,988,166,071,999,538,
596,114,912,963,015,755,530,941,207,716,457,795,515,570,716,737,219,919,691,
697,071,499,535,089,166,275,103,446,975,030,135,339,367,489,938,003,700,920,
473,300,382,462,954,769,569,516,271,153,302,434,940,063,270,806,017,894,166,
375,537,855,108,127,620,121,276,165,946,283,081,077,606,719,171,410,833,360,
112,260,537,283,211,670,848,484,558,466,759,546,660,927,865,084,619,541,418,
787,606,866,502,221,133,827,957,196,487,556,268,253,960,741,431,316,919,074,
723,642,718,681,555,602,418,537,167,858,838,723,235,339,704,252,572,751,613,
300,850,772,442,757,656,367,538,313,967,642,660,890,578,539,296,102,097,401,
978,891,589,937,911,347,706,231,821,483,130,664,112,748,883,356,775,864,551,
527,985,009,557,052,794,724,392,086,787,805,747,081,235,470,050,757,753,971,
923,658,063,575,999,068,288,170,185,953,201,902,999,063,948,483,858,448,574,
500,192,938,366,985,706,115,238,464,601,618,763,845,753,240,155,232,036,805,
394,550,142,021,800,632,961,345,602,184,525,884,630,732,204,979,991,118,449,
026,253,276,954,305,549,363,267,425,263,581,717,098,345,031,447,054,108,142,
771,409,762,095,473,159,734,874,550,476,811,252,046,586,361,605,396,386,833,
128,597,322,785,461,806,673,116,701,331,812,095,980,206,642,851,242,373,308,
166,198,002,933,185,905,005,964,531,090,516,186,988,520,615,334,925,255,660,
254,735,983,667,596,673,941,972,184,202,342,333,852,744,361,990,172,209,986,
361,454,927,474,040,289,584,754,182,856,423,261,943,383,379,937,543,176,781,
070,831,577,556,030,552,272,334,864,289,211,088,970,896,719,073,838,016,461,
743,238,146,007,751,847,648,247,766,513,952,004,672,025,886,232,169,471,015,
743,271,056,323,380,158,847,340,624,044,805,483,559,607,762,678,105,834,931,
872,276,158,733,961,887,406,702,264,441,550,809,860,089,970,121,623,717,258,
138,625,890,013,076,511,394,220,463,707,461,285,793,917,601,282,412,432,936,
079,054,543,647,722,687,157,207,650,991,527,386,732,184,568,549,508,774,455,
200,871,701,068,487,931,431,814,977,789,236,285,376,736,063,078,550,473,101,
540,515,307,254,930,503,547,784,600,090,879,423,286,677,180,564,011,479,450,
029,414,231,134,004,656,887,794,407,183,426,216,574,523,841,755,837,401,584,
338,437,751,850,000,862,069,084,736,027,413,803,895,096,760,374,993,433,486,
201,926,490,458,829,836,387,566,346,907,466,115,509,710,646,085,435,162,673,
494,545,919,354,681,302,277,569,666,332,315,439,562,807,028,849,964,440,294,
522,553,875,619,910,673,458,436,258,571,637,374,375,860,000,240,371,713,924,
092,392,106,615,087,599,646,825,498,969,994,562,062,223,472,717,931,411,554,
145,626,351,469,350,328,963,959,577,688,941,258,490,254,095,725,549,657,255,
231,558,493,655,699,901,881,267,792,211,753,915,747,276,920,102,498,608,180,
518,777,586,378,565,322,111,982,819,886,034,561,147,929,492,939,627,010,670,
846,386,096,842,677,797,739,603,773,867,733,251,763,562,253,282,370,419,945,
243,757,682,155,953,728,676,937,423,612,325,824,618,107,669,169,714,276,917,
050,603,124,918,658,549,057,786,725,534,678,273,056,821,757,541,020,957,855,
621,239,962,226,222,415,996,967,366,944,564,071,270,867,053,241,165,192,608,
635,516,685,583,949,239,323,859,342,877,116,981,797,426,968,265,329,836,385,
329,676,259,361,163,789,174,078,204,978,140,344,035,992,744,029,870,062,045,
080,766,019,220,348,858,704,483,176,227,187,880,774,187,545,163,861,431,139,
484,723,287,568,487,297,100,326,244,714,594,942,082,712,264,980,517,430,938,
210,444,551,699,627,143,558,595,411,510,701,559,788,682,057,251,840,039,748,
655,077,381,454,490,567,366,428,005,621,638,861,494,464,954,742,494,748,962,
839,597,703,647,284,460,740,723,874,580,537,576,061,372,372,806,553,478,417,
942,604,771,354,779,759,915,650,782,727,328,328,451,202,497,751,246,752,190,
157,962,956,337,005,836,225,208,726,841,065,216,677,573,961,991,558,955,218,
638,711,851,451,613,423,516,618,279,953,418,635,299,654,174,568,297,358,641,
390,605,073,611,124,701,848,810,415,647,397,195,356,838,979,392,854,757,265,
045,416,936,423,311,073,966,900,615,135,215,794,944,964,770,977,708,654,343,
766,016,175,323,552,942,539,572,546,019,422,499,238,300,078,153,563,191,152,
440,488,585,200,579,423,569,069,382,956,650,468,937,572,005,680,018,135,498,
202,955,557,701,989,387,760,520,401,575,698,451,875,096,796,506,640,083,786,
346,776,329,609,052,542,206,880,138,967,167,271,328,382,685,962,778,670,437,
991,322,923,255,979,955,373,617,781,960,139,481,489,940,559,442,891,209,945,
973,129,924,596,311,475,736,938,592,038,058,987,995,076,150,747,885,560,903,
524,558,859,214,095,069,811,896,737,286,459,408,017,645,164,713,440,165,814,
979,442,266,308,769,684,701,672,280,755,871,138,296,182,180,511,567,466,540,
491,667,303,072,680,594,852,928,075,290,465,195,947,000,100,495,967,671,525,
917,127,944,512,521,141,874,808,127,801,033,067,210,030,515,599,439,281,896,
973,161,918,412,801,979,791,385,129,365,574,727,582,387,067,407,921,019,065,
912,121,755,888,089,207,052,286,780,906,601,915,897,851,499,338,548,852,315,
569,322,917,513,460,326,511,373,673,356,677,989,762,872,673,535,230,022,297,
310,586,470,254,246,176,851,051,739,621,065,986,144,475,531,349,743,115,571,
710,934,746,553,136,223,923,966,341,920,288,332,141,343,324,550,667,137,418,
443,944,654,377,950,313,606,730,653,561,305,759,635,327,187,727,379,510,307,
079,522,493,951,485,048,841,644,033,275,003,215,746,873,287,066,460,228,786,
746,822,715,140,525,704,000,375,697,698,105,353,875,779,025,939,611,072,587,
340,421,144,460,040,960,890,375,486,053,443,852,827,909,412,778,324,245,002,
112,280,665,013,161,656,096,531,601,995,699,180,426,928,906,590,425,717,650,
957,417,250,605,816,639,221,720,060,697,283,957,508,366,455,364,641,907,595,
238,754,968,059,223,776,991,534,948,479,958,422,100,292,634,562,817,523,021,
282,469,124,246,467,851,531,298,182,270,741,991,584,992,637,711,029,842,797,
563,877,847,580,896,787,431,780,380,276,541,412,883,478,649,265,330,716,661,
938,277,794,379,503,227,809,945,991,121,449,232,125,369,845,877,876,130,385,
079,385,204,415,595,437,349,499,674,346,592,327,483,439,797,329,475,904,919,
101,611,042,826,011,768,410,134,328,258,764,836,535,372,696,752,499,124,667,
545,703,271,914,029,917,513,120,250,363,191,394,648,215,608,855,471,231,757,
642,246,802,531,181,165,979,262,594,455,413,434,555,902,131,530,612,755,707,
933,038,746,674,923,517,080,396,125,449,462,457,966,940,007,548,891,486,787,
612,294,524,841,236,884,788,845,023,849,185,964,875,721,915,460,466,439,783,
899,920,833,745,330,996,475,348,965,495,905,693,478,870,241,032,094,741,818,
629,653,383,031,984,483,311,249,627,567,546,427,028,400,086,788,630,288,643,
580,317,610,146,680,102,768,341,580,025,783,025,981,580,255,980,843,386,650,
573,426,777,651,505,242,602,925,491,841,460,394,431,918,914,744,235,589,216,
811,964,157,154,205,397,486,311,653,260,166,027,743,041,277,823,511,979,720,
743,627,384,507,002,670,752,619,113,269,854,610,006,941,600,732,229,863,186,
603,959,649,215,949,493,069,185,559,416,630,976,587,104,627,020,485,269,358,
038,537,072,241,068,279,311,476,781,425,781,392,347,906,997,373,461,911,582,
865,051,169,200,666,138,240,237,988,885,247,502,720,308,416,862,330,198,050,
326,571,346,887,665,748,086,412,368,521,061,716,427,254,950,451,784,716,551,
322,068,702,785,149,211,781,851,630,160,790,679,830,459,545,838,690,081,193,
406,995,970,764,383,322,951,177,908,355,879,978,783,762,888,525,433,917,439,
736,569,172,987,816,216,965,286,562,326,221,338,525,239,678,266,757,204,024,
457,577,806,046,428,491,702,042,836,420,407,118,891,235,740,847,805,927,491,
250,009,426,827,441,150,586,020,614,412,753,981,354,738,447,959,844,405,777,
048,273,479,455,903,945,590,844,687,042,188,613,943,597,576,670,562,405,536,
077,320,762,730,385,008,778,319,777,824,158,384,857,182,316,935,322,608,705,
982,177,709,844,912,954,707,040,176,455,837,394,924,123,841,487,034,935,581,
841,121,031,323,691,790,829,473,144,837,300,399,714,576,740,157,567,389,248,
686,312,326,139,020,934,034,277,691,976,123,384,527,527,921,088,609,085,929,
414,106,427,068,879,896,536,803,395,643,060,295,977,348,911,523,495,465,565,
276,270,636,533,134,926,445,945,717,276,245,536,904,992,686,178,938,401,376,
785,714,161,324,640,904,499,339,287,365,920,959,479,708,476,082,814,621,297,
080,858,351,385,493,471,699,503,015,494,749,271,250,855,920,547,919,699,469,
808,186,633,238,174,775,024,512,581,414,502,922,805,735,572,896,269,516,693,
815,001,332,004,679,084,594,154,568,742,772,852,162,822,519,545,106,320,482,
859,050,831,497,792,034,213,733,522,158,588,251,236,891,895,430,780,080,661,
067,008,368,909,372,264,656,076,333,886,642,318,829,803,042,180,788,348,555,
631,242,156,255,816,451,410,173,294,797,843,329,856,532,734,765,095,637,113,
506,545,213,009,164,827,198,129,617,947,861,860,446,646,045,167,566,091,382,
075,291,022,537,870,665,585,891,593,272,587,050,605,249,834,610,437,697,255,
004,499,534,717,408,102,705,707,854,403,279,791,399,383,980,836,910,492,083,
398,464,210,801,850,326,689,896,833,456,103,548,415,367,808,259,172,128,857,
288,348,486,591,074,021,316,668,424,630,397,700,772,054,404,199,504,224,349,
614,218,220,281,814,380,532,068,004,003,698,711,699,426,895,583,979,258,128,
743,083,708,691,106,261,281,563,010,207,640,570,906,881,011,511,693,490,802,
622,740,102,360,863,563,650,497,330,978,234,806,570,464,925,574,466,193,030,
196,041,797,414,111,216,146,381,915,224,265,033,065,079,123,664,401,224,378,
662,231,038,990,756,797,044,360,246,529,812,710,222,841,866,378,556,698,314,
480,489,051,100,656,050,439,825,737,842,197,097,043,981,584,759,223,344,717,
266,511,985,521,461,777,238,058,647,146,836,068,520,205,731,292,568,058,665,
833,533,392,725,752,585,803,370,685,753,032,042,356,917,908,405,799,609,491,
620,891,016,430,250,210,881,657,970,526,221,333,849,350,136,517,659,502,411,
428,813,503,421,427,990,807,599,631,253,749,024,367,521,752,656,512,983,663,
834,335,581,781,509,092,759,021,606,007,434,444,491,489,187,951,300,375,324,
386,101,114,836,113,837,288,283,149,784,839,092,068,066,915,368,606,689,713,
268,587,951,723,280,268,066,609,201,096,759,487,791,636,093,471,499,001,019,
499,268,034,582,638,384,039,138,492,872,978,398,344,212,343,360,048,491,672,
445,441,416,900,571,846,823,885,756,482,570,117,972,952,142,385,247,681,489,
976,503,825,495,728,720,968,924,454,087,107,480,512,044,837,698,678,306,022,
688,061,763,505,753,399,633,610,379,271,475,960,856,533,656,944,140,338,163,
296,841,721,410,427,930,067,436,160,396,719,062,203,192,601,248,359,457,810,
544,568,316,691,755,002,544,339,536,085,365,205,247,746,896,698,430,051,051,
634,520,404,852,581,341,620,237,198,742,977,280,817,072,573,733,963,965,592,
159,643,336,458,403,088,366,068,485,959,866,924,402,320,669,817,099,953,306,
918,199,523,189,124,176,608,093,560,124,864,078,736,555,328,371,029,947,133,
690,379,670,420,123,254,027,191,866,111,804,217,270,115,578,211,406,054,441,
988,178,273,905,467,485,419,920,509,542,707,987,918,988,081,832,358,664,469,
538,984,640,809,231,423,068,579,923,267,530,889,450,932,336,099,535,322,275,
266,075,252,878,263,023,034,522,084,627,803,132,065,931,025,590,138,890,713,
572,669,659,891,681,245,488,716,448,338,090,194,705,238,535,506,689,792,634,
499,770,966,504,024,885,418,840,925,510,580,027,024,743,453,550,876,824,384,
224,888,156,858,401,157,333,603,376,368,823,932,317,789,279,630,284,652,567,
335,174,601,530,145,987,387,247,446,797,214,942,911,356,118,378,344,745,529,
991,377,104,340,489,337,301,742,286,231,388,464,530,454,390,192,245,387,966,
326,368,824,050,634,670,130,764,102,974,737,885,802,192,913,625,852,023,650,
441,847,844,704,232,539,628,730,129,628,058,124,833,159,687,928,668,869,500,
258,709,414,554,625,079,366,546,934,065,819,541,320,975,915,459,638,096,706,
731,207,736,323,374,882,438,584,354,663,265,273,425,668,942,710,932,983,753,
052,281,037,262,471,118,509,800,670,599,675,377,335,014,686,914,917,078,111,
393,365,626,402,833,055,393,456,873,289,254,919,044,247,530,689,344,922,463,
997,498,221,955,472,898,866,501,215,290,252,996,932,871,273,867,089,869,273,
044,774,913,828,729,977,516,760,255,171,736,332,607,294,266,760,987,354,839,
938,187,579,250,225,032,413,039,208,863,813,018,727,799,662,309,529,064,438,
479,574,107,097,206,258,366,642,934,372,476,183,939,481,496,820,554,985,415,
913,875,080,329,822,976,882,757,752,962,456,270,778,367,966,783,730,030,983,
521,069,083,393,536,602,537,816,645,746,290,145,968,006,824,021,956,123,777,
656,260,930,838,201,115,621,609,072,916,776,252,574,716,130,498,100,976,291,
223,918,480,952,151,429,971,553,959,345,888,592,784,575,275,669,534,428,676,
480,089,564,610,101,763,199,948,786,828,958,585,184,654,229,760,763,804,530,
289,368,322,769,654,547,802,011,383,589,046,148,226,648,193,846,834,913,898,
678,631,401,462,764,828,004,841,352,241,306,404,377,381,192,607,843,426,414,
988,414,912,400,592,777,802,945,382,992,831,892,425,257,400,617,103,584,121,
072,025,375,009,809,647,869,320,496,030,501,247,002,036,486,465,593,480,349,
717,933,160,376,579,694,105,774,910,205,816,786,855,158,232,637,146,728,494,
454,857,442,017,078,333,238,896,001,820,380,905,288,147,828,033,713,116,015,
877,397,396,120,184,568,616,468,961,704,245,701,520,760,568,775,350,029,843,
576,092,036,324,945,675,207,823,469,783,072,483,067,465,405,703,870,057,613,
368,110,892,149,937,332,444,325,638,919,493,267,169,711,118,696,845,478,741,
830,712,905,437,503,444,102,869,916,489,952,728,928,252,372,503,225,972,224,
919,212,076,040,091,548,301,369,749,678,044,510,360,341,734,388,136,434,642,
943,771,105,532,279,696,003,171,051,523,569,977,505,021,566,515,653,795,414,
020,970,638,824,699,810,097,448,885,013,179,972,876,285,090,340,568,054,276,
703,104,229,930,132,499,939,993,883,856,979,974,929,764,919,975,064,591,545,
889,045,601,592,171,075,506,224,677,735,006,952,105,927,013,388,791,908,817,
970,074,079,934,585,758,150,868,159,356,523,581,414,711,865,069,627,535,647,
939,329,408,974,866,598,867,450,840,645,345,586,358,178,774,549,826,778,820,
972,074,929,017,333,034,361,132,366,768,850,547,406,686,005,419,539,188,998,
432,686,382,972,670,146,478,711,497,490,201,414,991,487,761,698,845,152,098,
351,015,075,608,425,478,021,736,873,571,888,297,091,280,010,052,862,953,211,
696,386,217,029,930,788,417,959,078,782,522,650,654,284,833,612,983,308,212,
030,277,338,384,126,366,807,931,799,685,876,960,124,839,223,291,332,738,435,
306,402,273,419,315,221,575,929,617,986,593,086,479,876,176,889,720,243,770,
245,554,876,618,721,005,954,028,298,476,053,664,176,335,049,545,511,588,080,
043,189,169,128,335,144,772,055,072,335,554,835,821,873,048,399,759,269,576,
712,348,291,756,680,426,358,356,749,340,365,368,495,711,124,362,788,713,367,
244,897,081,345,310,115,117,738,576,624,010,013,826,943,912,104,765,268,115,
269,405,803,351,710,599,825,752,129,473,854,586,937,590,865,659,181,475,797,
590,268,845,768,952,939,925,278,168,667,085,268,763,853,325,619,635,156,962,
499,991,161,841,062,542,292,504,310,007,437,338,344,611,609,736,380,061,248,
078,428,781,968,549,556,789,559,610,470,164,005,497,035,230,128,094,885,847,
862,351,461,397,532,564,404,621,732,660,131,987,654,868,710,387,719,118,355,
652,231,954,638,593,099,348,929,327,507,170,505,347,806,625,759,959,031,943,
188,686,539,920,998,684,471,287,983,216,486,438,393,786,395,052,524,359,600,
081,527,948,657,591,171,377,414,596,498,935,735,588,086,720,549,897,120,321,
205,252,121,328,959,787,090,177,924,484,350,439,596,795,740,590,236,538,569,
662,725,171,139,514,460,420,942,993,896,004,488,656,692,083,474,621,862,164,
201,781,239,339,508,083,310,606,663,401,260,526,400,358,313,981,622,401,242,
832,955,937,839,522,942,440,108,641,700,171,532,722,888,976,147,122,000,865,
068,824,203,490,012,849,907,440,115,906,837,145,186,536,890,988,874,907,152,
361,596,249,775,974,011,741,509,167,338,833,574,606,437,267,175,261,735,595,
340,425,248,340,699,004,507,619,258,346,642,714,939,992,545,701,824,160,564,
920,977,988,796,391,134,240,474,605,963,739,722,001,531,386,631,934,027,715,
422,282,089,317,075,846,721,968,653,506,378,539,543,080,949,585,606,009,994,
515,602,505,018,294,474,644,934,106,033,656,525,498,583,516,301,422,035,106,
130,180,326,368,648,408,886,162,768,116,065,386,153,034,628,396,984,253,667,
439,177,504,109,761,698,772,057,156,993,179,346,110,590,218,722,712,661,334,
436,383,055,600,761,700,931,314,801,642,654,759,622,304,339,575,413,903,640,
581,542,851,451,236,369,503,264,473,555,321,151,918,060,094,727,505,209,476,
548,399,438,225,802,318,455,417,962,314,794,254,034,954,089,282,540,540,515,
947,079,177,442,010,149,906,285,412,083,072,302,342,739,061,080,386,153,681,
514,550,678,641,651,041,472,573,106,925,616,121,452,100,292,433,138,199,575,
868,712,043,417,258,453,034,272,177,248,690,047,086,578,035,972,627,352,846,
542,728,064,132,805,349,903,198,469,038,859,199,026,996,575,201,147,934,619,
124,222,200,616,844,587,412,711,846,169,992,236,115,676,934,690,668,753,905,
577,297,994,080,314,808,346,797,920,566,068,334,102,538,387,200,851,014,116,
249,520,655,006,468,574,417,883,890,850,489,606,588,215,260,545,963,897,593,
338,089,785,541,947,686,709,630,773,939,337,346,340,762,309,171,337,450,363,
160,670,406,379,763,941,111,585,562,871,821,495,537,145,739,862,729,714,313,
909,545,229,970,373,573,488,481,008,712,916,816,455,211,671,400,465,744,560,
101,261,862,519,640,371,325,122,303,366,040,713,307,680,136,483,336,772,523,
710,530,604,224,571,626,495,598,761,430,649,691,551,338,870,132,021,646,160,
569,993,304,248,165,438,668,942,111,401,288,010,744,396,588,536,943,165,364,
762,140,719,437,891,541,586,660,381,776,392,832,041,262,487,314,109,592,022,
743,813,280,459,228,936,292,368,821,155,772,526,579,095,945,959,012,560,408,
868,811,645,792,675,116,627,565,535,244,431,216,414,886,607,048,074,673,409,
254,011,612,508,751,912,578,760,263,403,076,987,784,300,701,975,111,345,390,
979,045,432,869,812,959,746,954,770,097,294,527,302,549,752,265,205,432,639,
499,429,008,017,224,150,344,826,423,696,691,324,404,591,631,949,225,152,909,
080,032,395,853,435,578,831,482,478,627,635,102,788,841,892,820,046,058,126,
383,049,911,331,136,639,055,345,912,372,582,530,862,012,518,043,913,038,114,
353,550,589,116,651,820,541,825,753,735,894,847,478,860,635,231,540,805,854,
488,896,549,637,810,530,556,677,589,561,295,242,894,659,299,327,988,271,699,
182,389,061,172,084,896,429,065,177,744,389,644,110,053,737,884,024,178,841,
977,783,067,729,233,916,255,683,530,438,566,954,295,301,539,808,518,568,004,
145,027,267,339,260,325,126,035,945,698,474,327,086,094,529,983,789,668,391,
872,208,582,391,546,096,775,118,190,448,890,216,808,925,550,942,498,942,693,
253,301,278,332,354,854,096,256,874,758,920,658,428,163,229,253,778,136,031,
211,349,769,933,640,489,677,673,643,530,284,605,050,124,432,186,935,664,019,
595,525,005,668,812,551,059,456,350,903,171,581,271,276,487,673,480,511,414,
024,244,132,396,295,681,887,432,761,839,464,389,653,873,218,557,881,963,674,
979,139,869,546,027,757,623,320,671,772,040,795,811,797,680,802,416,646,174,
485,346,465,096,921,850,237,289,973,051,284,258,827,739,199,647,157,318,030,
411,595,844,262,229,177,202,693,065,272,659,404,998,457,754,252,685,782,209,
143,751,301,893,722,706,133,931,108,985,194,050,840,266,438,168,481,303,188,
138,012,569,795,973,204,295,552,126,200,990,851,937,157,235,427,864,867,424,
362,434,202,851,462,317,128,046,200,877,606,510,707,528,119,573,029,232,737,
837,891,352,160,981,931,538,207,836,998,931,077,608,852,543,263,818,714,460,
885,264,289,179,413,222,311,832,700,991,351,211,320,697,349,329,438,483,425,
674,242,938,897,235,017,891,902,366,813,732,060,412,942,507,585,610,122,689,
620,780,371,197,718,734,432,657,114,284,315,409,473,045,530,999,423,993,542,
935,574,160,653,510,067,764,413,095,860,900,598,476,012,706,967,728,337,432,
990,834,050,544,405,523,970,529,901,374,929,072,524,710,240,573,529,860,442,
862,053,114,384,649,284,196,401,441,171,828,500,109,123,228,803,680,591,257,
154,215,241,269,010,057,270,933,029,320,138,566,211,281,841,345,343,300,829,
681,024,736,223,863,286,674,752,854,837,217,787,199,047,750,043,405,596,192,
159,061,894,707,993,226,737,419,334,671,995,128,674,857,306,835,384,078,143,
855,983,916,487,156,660,854,063,915,946,198,069,932,829,153,458,928,453,785,
335,871,637,097,514,068,167,326,662,750,164,379,926,783,212,183,309,394,921,
973,697,065,155,309,344,872,115,357,440,456,200,766,359,095,060,665,907,208,
414,193,249,395,445,272,418,381,068,846,897,261,387,712,941,227,039,594,553,
073,769,331,734,689,297,423,810,968,485,928,819,612,887,473,755,718,006,051,
012,415,521,454,092,924,578,853,275,635,810,440,500,639,010,702,333,021,290,
662,274,972,480,850,249,228,408,698,987,409,658,657,842,240,957,152,206,302,
468,313,660,442,418,217,513,353,783,090,057,453,916,889,256,208,382,412,138,
150,548,588,431,740,253,308,863,612,186,200,637,697,406,426,651,889,700,216,
787,181,994,713,499,696,196,427,931,710,566,849,094,127,851,518,269,966,185,
169,205,880,776,005,885,366,164,174,890,347,056,510,240,527,946,621,208,087,
838,632,126,430,747,867,331,138,356,224,130,216,127,928,143,450,603,334,420,
750,743,860,886,345,411,954,112,360,266,534,086,458,876,916,632,799,008,052,
673,117,438,655,325,971,916,125,032,047,099,016,609,133,938,928,476,801,582,
560,757,411,865,123,706,152,798,504,009,809,839,860,563,242,798,451,002,473,
968,912,794,689,749,169,287,768,744,930,852,975,754,525,399,399,773,870,198,
696,075,050,465,194,617,816,690,261,000,617,826,266,647,008,303,629,902,566,
613,141,278,260,268,123,471,759,064,896,584,243,559,267,479,098,397,294,270,
659,231,798,214,085,665,759,717,633,718,174,118,949,181,784,024,181,486,650,
217,842,975,754,044,171,133,792,640,190,536,468,598,205,841,661,576,025,708,
386,445,951,906,561,963,303,011,152,486,961,187,580,395,089,773,836,707,312,
330,510,108,958,624,171,149,592,794,975,885,685,919,327,450,917,460,855,538,
944,678,422,435,853,098,303,328,811,870,177,613,775,828,321,626,496,322,772,
100,065,875,031,303,101,118,914,359,090,880,223,158,540,176,587,172,134,341,
419,754,220,286,223,672,117,531,784,376,279,600,833,639,613,918,052,896,053,
417,675,787,887,976,073,451,333,462,628,482,063,928,076,407,662,336,017,989,
180,853,980,724,906,326,367,489,559,131,270,175,938,261,392,481,608,464,736,
954,463,452,572,258,530,817,500,198,319,295,259,709,379,647,759,761,866,803,
966,447,689,729,617,921,581,648,033,620,497,621,249,111,321,487,390,512,964,
927,678,258,919,544,592,230,215,160,297,739,347,892,307,918,161,078,184,440,
060,544,078,873,387,544,635,257,149,477,221,996,412,051,255,532,618,272,254,
195,805,081,078,793,172,564,593,890,213,761,350,604,603,555,072,963,126,735,
265,213,876,385,252,716,479,854,454,536,331,754,702,928,442,355,761,414,518,
571,231,853,270,768,569,392,844,942,255,238,543,216,149,742,868,294,894,303,
965,394,295,658,054,034,513,207,660,833,253,336,459,301,466,143,450,432,911,
265,336,711,805,371,964,396,353,125,999,745,045,019,403,869,356,822,975,420,
943,919,985,274,068,677,022,797,278,935,613,689,010,799,781,559,621,875,967,
225,734,663,789,737,277,326,580,298,914,275,569,070,458,804,560,479,786,566,
630,455,165,027,016,064,476,567,938,128,343,092,744,432,241,714,489,477,806,
642,869,018,809,988,671,510,029,492,786,619,310,834,519,295,461,277,372,277,
677,329,788,584,230,792,582,516,288,904,696,348,737,173,485,120,336,872,780,
578,939,686,840,237,524,345,057,853,327,979,304,095,465,333,060,218,078,635,
643,295,467,295,190,710,455,116,547,753,943,989,679,102,012,620,176,402,419,
625,561,427,838,261,846,968,901,506,220,737,788,793,283,736,488,510,860,400,
840,810,257,227,547,110,342,722,711,948,362,174,939,006,460,516,817,777,495,
233,353,919,759,853,611,501,208,642,694,949,670,194,295,108,837,293,237,387,
463,405,550,160,290,646,278,498,129,776,248,134,507,289,845,650,721,080,618,
388,903,347,430,689,490,182,218,575,042,495,821,244,917,216,383,816,023,568,
958,543,061,671,240,635,391,908,884,514,790,943,580,119,153,980,584,223,061,
833,332,569,173,631,829,794,022,827,535,017,127,899,662,108,388,966,088,436,
791,658,007,086,911,765,440,706,619,176,799,265,796,928,446,783,444,755,627,
454,066,885,138,306,330,789,936,298,101,025,003,207,723,192,506,636,678,454,
504,867,161,481,374,348,035,611,122,090,647,106,063,364,890,578,484,387,179,
291,091,012,885,460,162,969,105,118,883,645,276,988,878,038,330,170,600,737,
263,001,213,780,075,870,100,129,479,574,479,434,497,852,380,762,562,890,296,
280,607,495,096,087,522,916,154,456,118,738,643,135,397,401,469,710,174,585,
821,049,559,780,182,997,340,639,414,003,424,370,601,455,628,803,159,732,920,
819,073,073,165,811,633,747,207,240,479,177,618,342,634,782,729,039,200,378,
089,294,893,406,294,373,088,749,878,027,511,644,646,339,190,475,885,948,927,
640,041,886,650,460,197,099,250,912,752,214,622,935,923,541,062,664,103,284,
392,951,390,214,589,342,956,506,922,790,053,291,550,159,528,266,935,902,844,
158,535,747,668,053,130,020,987,533,848,831,796,255,363,436,521,321,671,720,
942,925,940,389,114,608,822,169,352,541,199,949,364,439,414,100,064,995,692,
433,345,891,308,727,614,859,082,325,325,039,162,642,632,161,469,664,173,065,
596,202,288,458,748,447,426,686,394,675,182,690,727,661,763,522,013,825,394,
195,580,388,371,335,637,384,277,043,536,270,896,371,013,418,819,463,558,082,
695,736,476,736,294,935,689,370,343,901,641,353,146,256,340,311,418,010,106,
235,031,299,937,364,535,253,439,134,284,081,379,569,140,848,778,093,095,835,
101,961,562,412,081,923,305,475,745,850,248,525,699,541,769,668,206,609,798,
021,181,972,514,158,572,585,773,021,508,863,091,701,386,036,437,147,898,262,
331,465,167,733,617,929,263,260,644,347,067,884,057,272,003,622,379,198,572,
501,842,569,864,612,385,844,854,453,758,539,625,044,896,804,213,805,163,524,
192,769,261,103,580,183,731,466,459,495,649,930,484,191,318,113,482,166,051,
461,356,692,638,023,654,816,603,208,519,647,503,736,401,844,541,885,645,763,
302,694,138,753,262,842,921,331,834,124,283,297,212,310,344,495,420,726,732,
145,655,027,640,397,080,914,688,276,460,214,657,735,005,216,096,455,382,946,
793,335,732,316,226,344,335,667,356,581,483,800,124,077,770,502,032,739,690,
370,584,982,698,270,604,418,941,798,368,187,929,150,808,977,617,393,721,370,
582,492,882,429,573,241,484,434,044,642,987,328,067,800,500,231,464,443,595,
519,802,734,658,830,481,471,361,477,927,602,828,892,294,561,703,432,909,229,
343,018,177,153,372,408,098,584,731,687,870,905,553,493,941,074,927,235,548,
592,768,436,902,498,873,546,714,979,088,753,200,332,050,904,716,960,774,796,
631,205,078,105,855,639,426,382,626,201,995,240,608,847,094,687,183,884,123,
517,071,855,723,130,410,306,160,711,756,684,782,980,546,937,987,002,254,980,
926,868,790,390,392,537,064,143,431,557,753,943,653,569,668,734,877,227,200,
560,228,172,713,367,237,363,041,962,745,977,345,443,722,067,785,556,946,199,
305,818,170,441,257,347,617,685,289,813,903,083,625,159,697,087,903,438,748,
446,579,948,370,115,562,272,394,751,323,634,939,082,288,358,659,592,933,331,
571,678,958,327,522,857,733,118,537,664,124,150,323,776,640,465,729,484,043,
129,983,195,036,205,716,633,767,988,183,976,499,824,437,997,010,035,383,283,
457,940,854,671,861,034,492,595,145,110,431,463,200,183,131,203,437,924,388,
111,994,387,388,624,416,893,017,333,831,978,719,584,631,377,004,577,266,088,
024,671,036,665,742,345,232,044,716,889,648,255,586,475,328,737,808,790,781,
304,698,418,905,993,802,399,416,033,107,816,470,709,477,442,483,961,906,965,
424,528,689,905,434,875,051,667,992,447,395,378,967,547,988,342,075,904,577,
917,094,229,789,583,568,696,133,241,475,860,678,684,553,067,651,557,485,300,
676,071,788,110,442,366,580,199,591,957,021,315,039,381,296,219,914,948,272,
896,791,420,423,837,848,661,561,655,367,214,979,064,947,981,630,758,625,551,
979,804,354,973,565,543,303,787,619,274,269,295,114,047,501,920,659,362,480,
728,717,524,738,523,843,030,525,649,044,197,550,004,608,192,408,264,454,174,
524,499,039,294,948,436,714,968,918,495,804,220,629,146,622,234,611,146,737,
818,710,199,646,475,258,440,570,462,639,878,273,271,910,033,879,347,078,551,
599,007,407,287,022,448,970,250,464,758,307,174,114,958,697,452,192,449,354,
139,113,686,367,269,733,100,596,653,164,931,470,579,290,969,920,595,617,034,
411,304,708,862,462,003,937,387,091,336,089,995,925,029,989,862,058,002,720,
738,369,060,891,691,874,882,303,000,033,392,995,919,578,641,590,809,696,612,
543,128,064,133,426,791,166,642,021,502,753,509,558,813,729,490,219,903,527,
042,123,746,251,710,029,109,246,588,209,853,611,511,132,580,130,303,879,260,
134,826,169,900,746,002,454,878,313,198,780,531,555,534,075,751,785,101,611,
927,541,924,112,375,178,040,476,298,379,773,600,345,586,453,455,581,973,398,
575,077,755,028,366,250,333,064,501,562,533,856,599,031,271,528,700,279,385,
647,662,090,016,385,668,477,175,206,802,697,297,749,755,441,610,100,419,798,
578,492,313,392,652,866,199,144,406,708,471,000,612,242,587,495,219,672,607,
758,989,791,356,030,844,605,294,142,537,948,334,753,125,932,516,004,006,539,
251,321,596,334,988,371,596,867,354,074,755,607,449,718,471,724,724,459,880,
284,465,306,914,936,393,843,814,397,305,393,040,577,632,035,391,710,330,780,
290,846,879,961,126,731,644,842,436,860,260,749,265,706,066,640,631,160,206,
862,458,608,400,182,136,891,417,961,768,152,518,275,531,826,165,054,121,318,
360,429,528,666,583,324,425,766,656,526,479,367,511,590,893,323,046,286,254,
933,191,704,323,076,777,732,907,787,837,789,255,134,100,541,210,419,090,226,
059,507,006,956,947,107,053,727,449,124,789,293,827,197,185,281,100,231,549,
278,844,515,072,585,836,865,867,564,307,016,284,599,783,893,756,433,236,021,
687,716,367,576,536,404,878,290,214,487,079,092,963,923,360,417,345,000,586,
465,938,062,615,754,354,845,912,559,719,708,559,484,948,220,087,597,134,681,
694,755,173,440,036,671,490,190,005,663,761,991,371,304,355,743,711,653,263,
392,015,809,023,765,686,652,805,648,905,521,706,311,372,454,452,970,822,067,
517,846,584,431,877,139,183,114,564,879,746,491,400,347,463,451,176,948,153,
797,896,003,380,252,866,215,846,461,807,815,331,546,674,020,387,073,715,892,
775,560,468,878,388,235,447,278,415,598,344,871,257,208,351,074,344,748,793,
249,715,736,309,106,966,362,954,193,217,392,457,012,784,773,605,586,388,428,
272,932,331,698,238,803,692,965,549,869,170,531,351,438,026,948,259,103,844,
424,637,184,061,912,283,867,465,842,786,498,061,239,352,154,689,459,703,211,
354,096,180,729,603,097,720,998,802,434,497,690,734,168,944,118,582,742,212,
504,155,147,099,924,753,307,202,443,199,997,865,042,339,601,965,033,003,388,
714,178,203,627,597,501,291,077,502,952,305,099,222,142,911,848,440,483,100,
580,285,909,821,194,256,583,478,519,020,888,269,255,202,033,156,132,103,842,
480,484,463,253,792,024,229,017,616,725,001,139,406,881,974,985,454,238,427,
054,768,841,023,935,475,028,113,477,332,636,341,754,249,358,601,034,243,139,
954,898,729,346,690,020,144,027,425,238,200,494,204,446,067,129,421,064,214,
795,129,353,464,768,513,037,851,377,344,179,540,463,292,052,392,026,694,116,
256,018,468,715,048,603,357,907,180,535,354,725,336,317,663,837,031,711,174,
930,195,006,539,012,528,014,895,403,648,929,674,644,426,539,550,066,688,414,
852,050,163,012,293,594,648,675,944,434,020,393,641,792,483,044,556,636,244,
231,133,122,755,252,866,853,204,480,621,827,112,720,260,470,636,092,356,776,
693,512,669,123,214,630,927,515,395,860,805,130,504,980,122,125,870,476,152,
499,180,401,015,311,236,833,993,793,373,474,696,324,648,106,956,087,939,116,
181,007,545,914,538,739,187,504,725,197,197,237,145,308,311,237,490,025,138,
841,376,617,546,562,191,197,846,344,025,871,355,993,726,401,291,972,263,661,
295,445,713,575,929,986,555,756,444,953,828,449,677,923,683,922,845,552,280,
577,109,171,633,477,041,096,874,059,451,084,673,624,914,152,530,474,378,893,
665,511,835,650,385,605,979,188,222,381,826,390,340,837,859,833,936,433,696,
274,684,751,433,065,177,887,607,693,636,855,549,177,406,734,350,272,904,836,
356,200,699,574,057,317,607,302,913,808,316,328,467,722,131,565,850,937,168,
608,004,951,825,153,794,578,564,636,938,988,497,202,500,572,953,616,658,679,
103,435,939,815,857,786,957,528,382,843,157,600,855,032,105,573,560,899,229,
173,003,620,241,365,744,562,568,235,498,719,314,755,034,558,680,645,671,728,
396,280,910,697,659,863,674,548,504,666,954,773,618,260,864,637,895,046,992,
645,838,613,462,680,042,748,843,786,756,464,671,186,399,794,468,520,036,225,
191,214,968,520,429,334,516,728,973,988,688,809,877,043,633,354,215,321,640,
016,432,797,025,026,521,719,825,011,928,779,465,838,828,611,513,548,840,326,
559,758,445,763,789,220,575,713,920,940,781,987,576,206,576,379,077,258,875,
964,138,750,905,128,491,271,670,289,451,831,046,238,088,374,459,617,712,821,
005,398,869,144,793,054,742,063,303,450,914,925,897,637,897,344,443,414,380,
593,749,553,508,814,397,070,002,719,898,605,275,403,646,948,063,073,985,253,
650,733,345,422,773,071,959,291,824,889,891,276,933,627,503,100,668,422,547,
392,044,641,673,085,481,471,133,455,061,402,201,262,013,258,279,342,579,496,
872,942,870,793,309,366,183,140,418,553,813,541,809,191,036,158,922,637,947,
278,038,470,930,304,843,464,814,390,062,183,883,470,931,468,642,553,469,340,
775,528,724,071,938,151,418,187,490,058,673,342,097,104,679,660,612,933,373,
332,940,565,938,910,518,828,425,950,531,607,172,989,311,512,906,925,913,202,
738,248,243,311,825,653,681,655,960,031,541,548,010,123,702,539,217,561,078,
944,075,264,807,493,123,289,624,367,037,110,132,188,829,742,439,507,786,148,
049,919,432,777,089,914,535,218,504,379,060,692,955,345,437,842,208,640,131,
601,826,609,791,801,022,993,998,278,663,526,629,490,850,161,522,521,203,891,
452,004,134,111,361,017,310,487,470,081,445,881,107,880,819,713,678,802,715,
876,284,387,136,567,163,212,274,297,083,960,780,008,483,801,614,368,543,795,
865,467,997,924,163,475,109,934,845,135,598,432,904,033,236,116,547,316,147,
780,024,792,760,884,783,540,622,003,255,896,022,369,982,574,600,178,222,026,
243,544,305,526,348,727,658,032,703,325,215,775,571,767,864,226,363,321,915,
970,331,891,459,708,952,916,426,843,142,215,344,488,343,115,146,679,511,716,
879,271,633,538,228,437,864,571,161,471,487,326,458,255,158,218,307,435,162,
908,031,819,764,658,186,630,303,910,237,507,595,929,921,526,509,206,208,138,
622,890,967,717,833,068,621,981,651,246,729,987,383,620,736,410,388,141,272,
587,907,750,966,661,159,316,991,919,919,779,466,935,133,999,495,836,413,843,
735,494,995,768,200,889,163,599,045,321,802,363,724,829,753,701,367,010,845,
901,103,441,537,274,391,771,797,244,890,345,916,409,398,650,584,291,500,967,
014,147,652,657,189,109,519,246,921,335,292,788,991,708,486,285,169,710,047,
600,817,255,203,936,196,341,716,852,587,133,316,352,579,111,795,540,731,712,
512,651,663,345,570,318,645,919,357,285,032,398,047,082,838,489,523,642,413,
648,961,573,683,107,141,490,080,688,641,103,051,778,779,602,117,738,750,427,
902,908,710,870,415,719,616,920,143,704,878,316,188,522,385,655,470,352,914,
385,007,525,435,582,055,467,406,060,462,020,357,685,263,368,007,740,838,292,
901,826,925,494,179,305,089,598,339,364,426,452,461,021,937,316,855,088,701,
318,076,965,213,923,781,618,227,895,257,538,967,957,497,930,759,304,211,396,
846,977,789,243,370,423,015,099,451,720,426,237,395,480,059,449,357,674,687,
686,352,363,218,768,481,116,390,161,524,318,165,862,355,952,636,253,409,191,
813,062,904,596,832,358,038,298,015,432,430,532,789,594,444,387,374,592,732,
357,186,333,105,361,595,868,629,593,627,710,859,780,770,735,665,116,808,445,
175,995,837,032,569,482,993,005,033,916,447,013,217,408,544,238,751,742,833,
201,314,867,406,453,037,180,381,081,581,288,289,697,241,602,966,017,722,369,
169,286,096,488,825,981,869,660,044,836,857,252,044,738,067,025,971,202,064,
428,796,457,367,367,150,507,571,074,502,583,447,254,469,465,445,795,417,132,
306,844,988,768,920,319,218,383,873,777,233,657,175,225,477,105,263,361,438,
902,421,193,347,022,248,502,780,526,482,481,450,050,629,131,206,101,999,504,
687,652,465,003,206,231,138,980,004,065,971,944,052,351,291,573,519,313,774,
886,992,712,430,428,491,625,386,390,082,754,873,780,721,362,318,884,430,221,
686,346,125,268,236,561,201,541,459,638,587,946,271,341,246,910,873,449,876,
214,274,807,590,306,273,070,413,234,992,020,308,040,286,739,205,235,966,933,
631,783,046,089,775,963,017,741,362,991,600,908,296,022,674,832,836,882,961,
988,270,561,600,775,239,464,795,027,533,165,720,439,109,732,009,154,060,640,
350,242,136,457,141,760,561,709,988,351,612,336,298,722,032,027,237,809,942,
295,183,385,176,949,197,576,359,975,596,961,526,848,477,676,073,187,130,720,
565,172,746,561,904,617,512,842,784,175,613,527,378,921,118,281,566,139,917,
259,098,907,116,903,289,711,652,297,766,788,768,551,663,446,631,452,476,293,
278,844,431,671,383,145,084,069,339,737,972,009,677,414,397,858,157,912,087,
008,821,063,480,437,630,369,237,691,759,572,606,693,731,559,781,197,546,870,
977,777,404,234,980,383,571,578,430,910,052,165,004,757,542,094,586,687,030,
008,117,506,100,012,635,806,406,184,356,196,652,440,507,819,743,040,343,796,
346,877,878,399,372,619,756,866,305,314,211,950,885,844,749,961,523,928,886,
213,415,810,943,546,379,659,656,272,522,166,527,736,357,960,918,313,670,239,
371,754,435,804,188,080,818,986,753,940,822,022,924,385,803,100,179,155,498,
669,064,511,652,156,705,242,449,874,854,246,782,154,314,376,129,003,941,063,
936,350,819,692,030,730,596,302,946,108,085,131,080,374,220,813,210,448,362,
938,187,030,691,172,492,975,900,219,862,709,103,451,997,348,821,073,094,191,
569,167,257,078,061,899,082,887,650,052,592,412,231,262,180,678,354,720,902,
198,048,725,056,886,215,704,760,213,556,910,910,535,235,143,332,582,981,592,
975,318,019,114,647,759,489,520,449,700,013,152,338,598,509,749,648,254,522,
834,321,431,672,007,531,936,037,612,101,278,530,459,431,700,834,119,474,952,
206,172,110,988,626,763,587,304,081,193,487,826,547,041,187,855,948,306,157,
842,312,714,852,119,740,661,089,047,932,726,617,696,360,784,870,947,196,623,
306,794,728,889,869,976,182,643,506,058,301,057,290,897,826,537,419,041,137,
739,697,124,226,119,365,188,187,628,005,076,338,078,456,611,319,636,545,071,
815,623,433,166,975,886,362,306,092,619,210,288,692,875,628,491,005,750,805,
936,820,727,121,531,271,849,245,273,518,772,818,967,332,932,885,369,467,554,
543,429,557,629,694,164,622,915,207,738,458,007,363,891,829,959,388,897,444,
407,494,061,161,916,480,520,418,243,357,596,732,860,195,062,981,596,610,145,
747,449,883,563,972,123,102,924,998,824,892,447,386,530,151,984,939,244,788,
349,078,982,892,723,523,306,633,095,788,671,422,812,808,309,259,363,839,161,
754,006,950,800,035,863,362,347,219,605,104,485,367,249,668,482,033,056,594,
091,563,143,755,309,291,566,559,834,391,561,508,250,697,968,601,679,811,201,
703,906,395,778,415,424,633,670,851,663,078,220,192,383,727,998,155,214,768,
529,595,419,513,087,225,402,750,139,584,713,647,042,711,319,354,989,344,280,
365,681,328,117,472,284,873,412,241,293,751,908,020,396,422,388,112,494,946,
902,132,348,803,775,104,494,239,386,985,980,950,701,138,938,819,502,114,184,
965,639,501,186,273,455,410,751,233,678,928,646,662,390,396,675,669,289,333,
108,948,771,319,890,129,450,917,609,614,353,900,573,019,087,615,381,626,205,
323,414,966,616,957,648,554,839,711,433,228,677,012,857,993,078,242,419,215,
641,517,854,635,528,860,941,639,642,965,106,137,961,441,114,412,140,974,203,
220,259,141,549,466,275,787,690,693,289,210,377,965,013,374,721,416,229,540,
662,011,089,467,871,561,098,797,334,051,501,365,696,647,086,900,635,516,118,
099,370,329,557,941,659,359,471,000,285,557,454,530,431,031,647,492,933,691,
570,769,934,827,748,882,053,994,371,569,004,790,326,440,670,197,342,234,127,
800,635,072,071,985,778,013,037,939,814,075,643,461,450,652,281,966,345,888,
907,270,727,665,897,282,519,249,862,687,753,295,550,730,294,752,407,301,149,
158,262,883,372,402,460,548,702,984,204,507,049,103,098,524,309,973,479,862,
656,966,523,054,767,693,891,668,385,977,600,306,282,836,227,074,005,505,402,
760,306,362,764,309,790,923,387,652,676,644,300,491,563,936,236,634,760,877,
564,738,302,834,006,929,026,223,857,836,294,408,422,739,857,538,536,852,258,
818,116,662,183,908,060,999,871,170,532,396,371,343,394,736,502,528,764,815,
583,718,503,702,539,334,477,027,798,354,383,192,498,397,282,655,214,128,439,
886,982,120,583,698,970,821,061,075,348,352,396,611,305,474,997,710,889,127,
277,964,654,226,996,056,079,829,868,469,522,894,674,970,105,916,990,673,616,
889,049,035,656,710,647,236,905,143,529,416,422,531,252,078,506,238,285,276,
765,088,787,994,041,509,946,479,558,540,366,592,177,267,779,355,836,787,510,
840,800,018,681,789,842,965,852,317,033,775,664,978,726,462,104,182,640,274,
232,679,011,588,084,882,419,362,336,327,513,760,610,954,937,246,159,132,431,
116,033,116,797,226,331,433,626,280,951,876,065,823,884,435,666,604,939,629,
944,317,602,563,957,141,403,380,490,497,328,791,068,954,273,352,234,095,740,
319,592,838,306,784,657,406,510,018,999,956,650,546,246,946,493,709,865,009,
694,691,475,165,961,229,273,746,500,051,963,025,870,453,620,323,642,867,066,
957,703,213,165,375,707,005,457,617,800,632,119,809,618,118,265,561,193,685,
941,746,308,039,855,375,877,644,116,021,917,290,901,076,468,859,497,006,365,
506,117,245,775,652,388,662,303,168,026,629,873,449,910,695,332,292,058,896,
332,798,744,412,141,778,628,613,889,192,403,760,798,794,383,863,523,017,596,
830,698,907,066,225,363,735,443,735,431,987,018,450,957,520,385,292,647,930,
362,487,177,105,548,677,269,865,132,239,920,575,579,158,253,050,026,864,786,
741,313,254,930,214,919,530,040,599,078,437,930,859,551,498,065,358,575,272,
521,169,032,588,118,453,829,633,611,762,031,601,396,680,144,541,761,490,235,
484,762,120,574,058,317,669,505,172,288,971,378,673,529,969,983,873,806,797,
496,203,854,704,989,430,626,975,960,612,780,005,609,767,067,159,582,948,301,
818,433,168,951,643,517,286,215,658,361,941,726,026,597,465,664,325,497,317,
259,056,083,658,244,794,409,191,607,208,279,017,415,499,555,450,286,677,239,
833,484,906,845,216,969,510,125,401,369,509,618,431,140,534,997,079,916,749,
954,729,035,772,922,466,400,617,223,241,262,327,675,599,448,155,100,717,956,
271,126,957,857,593,168,908,038,868,540,344,147,731,204,850,944,744,474,401,
140,956,680,907,720,597,885,452,366,727,977,736,072,185,549,586,262,775,063,
802,901,714,341,620,573,181,427,856,559,607,985,710,075,057,047,378,034,106,
000,966,447,884,959,655,883,247,874,160,461,879,009,828,755,004,783,881,537,
878,026,766,254,469,367,628,515,403,720,667,218,609,334,734,869,814,290,891,
605,160,082,571,539,577,682,200,367,777,351,584,607,919,013,785,356,545,111,
509,271,442,821,838,642,540,079,716,535,191,127,547,063,495,698,422,685,756,
965,472,765,477,183,529,133,827,050,672,363,162,047,702,681,716,944,153,752,
866,672,656,415,539,021,905,216,856,980,657,974,988,672,068,546,197,042,363,
664,395,034,473,801,011,515,495,687,104,230,763,272,733,142,558,027,430,417,
666,371,511,143,847,661,213,396,085,011,523,088,130,947,426,406,188,740,226,
881,631,743,492,705,643,375,316,127,398,216,733,201,104,828,382,455,259,877,
456,038,281,869,499,252,999,671,934,818,616,705,094,303,895,559,278,665,135,
123,049,150,016,414,847,146,188,589,477,767,769,952,597,949,745,588,278,285,
109,310,108,594,837,719,108,021,231,868,537,493,033,893,349,822,846,586,404,
718,560,964,816,579,365,538,909,524,566,714,783,951,637,822,219,273,255,023,
401,652,224,190,620,086,969,688,890,990,223,582,462,349,401,407,225,996,601,
601,478,936,125,811,421,578,283,431,350,702,534,673,091,080,266,861,365,831,
740,913,771,767,806,558,369,501,162,399,091,753,527,083,610,377,295,576,697,
368,458,116,158,557,743,391,821,568,384,151,835,710,901,620,533,484,448,533,
073,403,911,381,251,446,793,008,939,763,161,570,565,376,332,901,583,678,506,
463,941,779,975,702,765,192,577,312,576,942,967,214,199,787,791,674,236,584,
501,016,134,488,399,317,510,031,243,421,258,642,978,032,188,252,585,438,710,
566,633,748,709,088,022,654,431,052,538,156,971,399,666,843,254,589,951,277,
974,589,707,531,082,638,898,999,274,555,099,291,444,835,155,360,849,234,825,
843,979,452,447,001,923,955,777,586,861,295,088,837,440,783,171,779,207,752,
029,517,854,512,007,758,500,361,704,609,421,724,413,909,418,361,734,185,532,
239,988,387,596,471,342,477,048,805,260,143,587,000,578,045,057,709,794,351,
702,362,332,660,443,444,863,098,670,852,716,834,857,779,128,394,161,169,384,
023,734,427,267,247,545,974,601,962,000,295,870,074,118,886,214,381,393,694,
328,136,084,458,611,744,949,323,839,081,205,169,760,098,433,151,228,559,358,
997,212,458,372,504,210,762,400,280,803,225,876,844,672,420,613,715,488,872,
095,914,766,844,291,768,522,214,193,776,542,084,109,744,908,080,672,544,183,
391,199,738,059,674,749,795,233,923,432,956,828,308,062,606,012,227,502,773,
555,993,789,853,877,277,788,199,389,701,043,108,613,194,440,537,015,903,315,
835,832,474,640,275,980,962,380,786,857,830,695,268,441,980,813,209,190,959,
557,132,380,032,082,440,885,901,091,098,358,327,485,580,949,021,236,958,028,
199,087,282,442,337,825,580,994,303,133,359,360,738,228,768,017,556,174,074,
487,033,395,433,356,485,456,818,593,006,996,732,485,361,979,041,096,042,279,
071,243,147,018,402,126,583,829,197,161,762,117,707,517,316,790,447,247,159,
467,450,371,416,293,560,413,782,075,127,924,415,883,839,091,929,486,561,350,
886,449,540,635,001,050,163,156,142,889,070,436,518,050,848,496,403,678,018,
637,763,774,693,031,503,501,759,496,060,124,591,302,361,205,525,961,826,115,
062,008,633,840,253,760,986,154,320,351,111,031,055,379,652,621,324,819,084,
071,766,941,310,647,311,254,025,434,714,965,569,455,485,871,112,921,092,887,
733,990,916,870,254,267,595,299,045,196,669,145,571,669,430,047,299,186,286,
396,962,324,392,354,341,584,324,416,877,841,535,759,800,006,831,922,807,876,
152,821,345,325,368,551,936,429,888,360,751,408,344,147,603,000,885,812,899,
110,379,293,467,441,750,965,056,254,521,970,962,604,084,920,796,246,222,636,
407,558,149,109,716,373,876,265,191,368,410,890,265,335,551,126,677,080,727,
554,932,471,446,802,486,055,343,728,967,965,076,543,817,554,934,380,082,886,
020,240,507,870,262,208,227,864,264,299,892,723,165,506,463,431,700,975,574,
043,895,567,975,797,708,812,605,855,903,874,103,044,358,477,050,316,376,536,
263,559,651,891,922,882,807,674,764,166,481,175,915,745,555,349,117,983,716,
154,253,206,298,289,777,780,839,330,915,522,307,541,114,868,156,076,826,752,
489,743,214,430,703,933,709,836,784,583,837,892,880,990,804,093,629,396,837,
083,813,692,133,705,756,512,968,912,777,566,783,587,443,711,356,166,581,949,
368,571,432,029,267,690,496,017,987,984,982,580,717,477,118,880,238,453,290,
036,327,225,590,754,873,224,259,310,494,335,288,931,899,828,214,004,140,364,
402,004,521,815,305,506,042,352,740,571,441,275,126,853,313,498,603,529,736,
590,050,462,060,818,063,326,601,521,412,362,262,423,826,240,398,845,539,803,
096,640,426,451,927,007,422,781,417,040,596,153,142,693,685,704,621,568,233,
493,755,838,221,858,990,677,710,310,394,747,661,314,516,495,580,859,917,844,
083,844,896,113,585,371,538,101,040,476,431,242,562,834,104,140,174,187,367,
058,577,373,009,511,459,570,374,162,812,469,687,143,325,132,635,220,269,020,
083,177,052,373,697,176,968,785,452,694,979,621,676,798,863,677,106,787,793,
290,957,363,604,072,822,876,928,044,054,056,718,580,651,742,288,459,466,835,
916,664,160,562,191,312,285,028,055,461,770,658,876,598,056,920,964,371,830,
119,958,201,906,875,759,319,619,218,112,127,255,076,240,814,378,177,267,599,
249,352,973,377,406,048,442,252,177,681,759,885,192,683,947,287,833,498,906,
413,644,191,131,026,927,377,509,020,326,585,943,998,257,667,183,005,469,850,
871,676,174,934,034,091,042,499,658,276,820,270,325,992,653,971,154,487,749,
381,242,781,130,899,388,625,613,491,701,677,363,903,797,724,061,764,410,567,
964,419,801,653,231,158,871,187,077,236,952,768,539,662,810,710,261,529,866,
478,453,259,476,408,770,345,650,239,337,750,328,555,790,825,698,366,441,750,
801,295,769,628,151,073,626,534,443,227,148,692,759,386,696,473,807,558,045,
545,178,726,430,597,473,047,910,834,411,066,292,621,701,244,608,458,166,287,
938,025,038,169,372,534,204,627,990,378,703,335,626,142,206,470,978,961,029,
500,193,346,631,223,270,754,561,209,947,581,675,626,594,104,905,674,802,470,
786,395,976,513,050,792,340,129,726,383,729,791,374,791,432,637,758,843,087,
268,043,695,322,372,527,526,061,669,650,204,373,809,857,664,826,659,663,171,
230,777,324,542,360,451,882,732,362,695,491,308,010,474,297,200,264,842,125,
627,554,479,313,559,182,029,679,012,804,600,497,092,809,051,630,691,489,472,
465,044,554,513,160,518,205,492,072,981,734,246,374,678,159,606,889,003,760,
354,684,849,619,853,940,638,327,068,092,578,316,786,066,816,878,608,077,362,
656,919,452,600,025,164,148,930,650,650,621,361,842,655,560,437,051,169,779,
400,645,021,241,878,307,842,137,434,121,771,915,538,842,643,379,878,735,078,
549,511,055,686,655,050,647,488,488,364,819,782,213,635,142,520,286,345,410,
476,943,368,516,790,736,407,451,216,703,489,028,402,164,548,928,226,022,859,
375,819,255,273,069,523,345,540,782,765,698,814,727,321,129,748,623,372,988,
178,205,429,609,229,998,887,928,187,908,848,266,118,256,298,063,929,565,606,
461,889,091,940,647,909,377,435,701,592,374,727,799,511,662,864,674,610,932,
656,750,165,968,732,674,253,086,710,811,027,416,943,758,459,431,242,402,189,
078,490,491,892,746,236,913,009,145,919,347,514,947,497,152,543,547,628,637,
688,551,136,060,599,001,102,988,351,936,271,973,296,828,940,400,083,637,943,
608,003,116,876,655,098,416,767,600,759,071,075,593,082,185,288,467,691,553,
695,978,582,676,295,885,769,615,562,453,041,932,250,981,193,103,796,711,863,
085,732,130,571,504,507,364,941,608,479,907,052,708,058,926,747,891,168,406,
045,919,732,786,394,166,280,843,581,147,176,804,110,028,025,998,216,711,985,
265,963,527,272,558,084,848,740,005,182,365,808,091,259,685,435,568,780,325,
035,554,984,539,339,815,446,451,748,962,090,478,931,573,434,234,748,673,521,
721,208,873,101,082,312,675,880,572,307,671,917,399,471,520,958,982,990,525,
401,070,203,450,578,249,943,557,964,052,906,298,555,687,538,700,977,047,659,
056,502,010,471,670,749,156,715,790,538,019,137,108,293,531,170,443,211,803,
586,327,462,711,706,508,692,283,220,181,069,848,607,878,131,097,299,229,301,
133,974,775,565,760,895,513,408,535,707,668,611,014,248,042,684,529,521,059,
583,863,390,011,987,289,461,115,873,821,047,827,857,965,616,313,847,864,841,
432,961,238,680,497,608,036,465,380,995,262,612,181,126,527,825,510,628,499,
153,349,661,118,220,804,668,708,326,249,995,553,689,423,300,758,500,539,079,
169,539,702,738,896,360,571,054,318,574,716,622,604,208,396,144,538,229,560,
282,398,577,318,794,262,105,086,761,753,071,383,551,408,479,337,552,585,578,
606,880,117,785,360,633,581,344,346,281,258,929,247,522,895,411,095,189,975,
748,530,500,138,220,776,884,542,293,046,861,045,412,176,669,647,490,550,271,
002,645,140,561,348,613,240,646,231,473,482,389,214,916,271,742,484,574,087,
354,193,238,048,190,387,662,770,552,593,626,751,570,493,497,105,741,827,349,
365,636,593,855,296,654,610,160,418,065,671,242,155,846,894,897,186,660,847,
899,184,153,400,193,122,269,506,224,251,794,252,772,560,893,469,667,465,014,
018,823,949,952,324,998,340,750,343,560,068,244,301,652,699,738,467,674,821,
813,933,930,022,602,174,156,151,915,954,808,546,318,121,189,661,914,851,666,
098,874,716,452,753,636,567,498,313,587,728,582,679,239,572,003,719,031,947,
164,858,965,163,984,466,195,923,120,924,169,137,554,533,651,787,038,514,225,
955,838,414,119,445,169,232,959,099,584,900,175,879,472,029,859,072,543,793,
394,170,609,097,257,895,959,522,609,251,379,671,892,479,124,144,714,335,928,
225,511,678,044,204,198,475,725,036,276,725,846,531,430,783,644,925,489,557,
191,506,437,176,289,462,495,711,583,983,979,722,649,088,730,260,331,410,695,
470,908,074,656,727,298,669,193,569,500,742,161,654,427,025,434,033,219,829,
918,572,254,566,701,039,655,097,894,640,950,667,300,574,211,186,990,493,945,
375,259,583,996,942,225,223,257,728,843,896,718,189,579,041,256,717,140,057,
439,410,677,515,241,495,481,546,050,622,552,040,831,070,732,515,720,657,020,
849,749,967,652,485,533,465,789,214,136,054,807,439,148,046,694,713,665,096,
848,834,717,607,254,265,894,068,398,209,324,872,197,904,495,430,247,357,517,
504,086,294,974,994,439,159,330,759,682,844,733,768,733,541,254,869,033,796,
784,510,532,360,488,574,015,494,556,985,639,841,511,323,356,821,458,637,593,
160,707,374,400,679,524,438,380,838,755,756,899,305,311,260,698,225,361,709,
910,371,142,493,086,263,411,799,877,260,641,337,337,356,765,228,046,460,230,
720,839,008,705,133,212,606,845,072,783,970,656,802,741,117,213,349,486,742,
256,439,455,404,559,102,895,558,418,318,485,605,025,179,438,047,551,328,229,
988,918,276,725,656,724,510,802,834,404,736,170,766,051,754,125,051,834,529,
370,428,228,868,558,771,343,018,413,456,912,002,920,836,603,514,474,112,931,
631,213,336,139,012,930,102,044,705,227,115,147,828,671,860,008,813,012,841,
486,520,663,520,897,153,417,252,897,924,214,332,592,062,383,467,389,483,232,
901,410,236,996,950,692,988,131,429,978,095,742,300,305,528,997,237,245,075,
137,183,251,125,265,186,716,922,730,968,947,046,681,134,622,095,859,522,057,
240,105,059,686,559,803,606,067,778,519,937,827,454,761,339,109,829,075,023,
069,402,562,804,955,555,182,869,879,029,374,462,739,674,366,912,923,164,556,
817,718,859,051,366,031,170,691,522,287,408,533,260,629,737,290,653,583,216,
394,555,427,199,493,799,662,558,007,892,362,406,166,424,003,326,554,731,731,
313,862,902,918,697,426,029,763,921,764,905,476,237,418,128,941,716,469,296,
201,992,620,254,444,897,613,434,731,323,122,844,120,306,643,990,011,846,271,
237,135,094,793,326,832,742,295,949,484,317,447,761,538,672,064,458,576,946,
197,233,778,802,386,579,809,973,844,836,397,303,556,495,792,956,198,416,713,
558,637,492,692,275,214,719,852,006,390,696,488,490,433,508,255,903,847,506,
948,396,606,651,630,379,549,236,471,926,278,554,559,356,282,743,129,875,707,
840,854,976,323,064,841,942,967,328,514,184,202,515,456,155,253,643,805,552,
867,901,486,670,718,171,192,456,965,385,383,795,801,473,336,198,052,510,839,
301,991,826,505,299,241,661,626,740,130,111,596,318,658,547,875,454,448,161,
576,301,034,139,172,745,607,005,770,143,680,528,374,323,078,739,327,704,601,
790,351,746,878,905,728,035,616,984,127,541,712,144,925,541,882,151,914,966,
952,741,406,431,675,059,873,925,030,357,107,263,790,557,465,513,544,719,633,
636,370,067,471,874,679,228,225,407,412,582,574,273,681,498,285,804,665,809,
437,696,861,527,535,129,568,210,843,212,940,459,333,155,396,266,555,426,596,
106,666,559,841,179,735,046,302,060,670,972,613,773,398,171,793,315,435,210,
658,736,651,814,812,864,223,288,083,730,268,108,452,049,341,360,797,513,292,
328,723,986,794,873,121,011,790,808,676,012,490,038,265,169,053,804,858,590,
660,870,587,097,761,487,407,464,491,291,673,655,197,427,705,414,404,732,433,
068,056,034,594,485,038,226,210,894,871,901,897,647,130,296,596,878,180,488,
407,966,031,250,002,557,998,295,008,402,146,813,242,730,817,345,161,099,355,
250,187,362,039,091,086,345,071,083,325,874,279,713,613,381,820,240,154,148,
594,762,453,770,549,970,889,443,990,528,225,131,805,453,074,050,900,159,921,
440,779,363,984,099,189,940,270,190,308,265,193,446,061,407,404,137,279,564,
211,055,117,006,868,483,592,528,045,430,929,000,428,340,813,445,594,265,026,
293,540,841,782,020,331,079,445,175,654,337,401,101,418,124,174,007,571,900,
401,767,094,284,435,083,759,595,161,012,027,738,503,686,329,723,557,549,074,
731,725,983,821,458,082,373,380,590,292,942,609,738,539,692,729,116,635,415,
642,038,810,653,809,999,044,218,544,310,727,002,250,232,808,201,891,320,793,
744,671,359,703,836,032,767,008,486,873,918,854,176,956,529,493,970,417,463,
727,518,228,540,732,972,968,003,009,017,446,271,455,512,854,428,581,891,561,
365,175,065,896,747,753,734,846,814,686,814,177,643,543,983,671,020,843,618,
114,895,365,421,794,280,963,033,312,041,706,828,097,457,575,388,669,882,125,
020,139,164,921,577,308,352,907,088,758,820,636,185,948,443,228,868,165,946,
337,977,997,324,549,742,683,768,868,238,020,187,600,377,876,338,696,830,110,
628,689,772,146,611,364,589,756,633,713,268,234,424,630,797,640,935,157,450,
492,696,308,207,968,180,040,767,463,411,553,703,820,999,437,454,680,219,955,
776,661,619,600,827,727,471,223,074,672,028,715,262,409,122,272,949,614,527,
919,178,517,557,040,506,062,872,187,001,770,745,304,834,524,433,511,103,909,
748,658,548,384,472,516,941,694,259,470,767,260,774,867,524,661,566,925,281,
225,985,108,433,102,660,951,710,244,551,440,128,145,699,150,941,320,458,869,
778,974,738,059,795,568,045,882,263,501,034,000,203,292,614,100,696,202,417,
489,020,375,117,437,247,793,088,738,625,350,959,540,629,082,488,717,568,990,
860,275,565,982,364,277,578,110,357,426,559,174,650,397,730,805,524,532,647,
657,373,718,837,479,445,157,714,447,605,245,393,218,098,526,791,765,158,663,
685,813,048,842,545,209,282,501,955,817,855,638,493,579,837,981,817,761,016,
851,022,544,566,110,759,290,489,410,457,505,689,521,580,180,035,540,180,788,
801,062,380,265,600,061,692,418,963,784,836,406,293,395,880,059,026,937,064,
618,985,476,839,183,174,596,534,420,198,821,259,166,848,998,454,392,052,796,
404,765,195,921,360,391,531,987,716,305,613,197,169,558,469,821,034,077,781,
239,835,736,768,608,846,272,932,494,103,164,025,861,396,518,558,109,167,661,
589,675,391,699,779,668,320,871,698,998,456,577,381,904,784,301,731,293,773,
754,212,853,853,707,827,503,027,609,321,030,264,382,909,739,870,407,374,801,
257,550,810,826,808,526,031,284,794,234,280,184,695,423,260,281,499,666,344,
910,282,127,498,428,820,519,097,802,227,512,973,251,057,678,811,836,005,503,
726,636,921,256,374,367,199,821,480,532,932,598,158,874,102,808,161,490,397,
818,029,340,369,131,027,416,397,960,739,817,030,425,030,995,819,069,033,614,
484,156,220,694,300,252,976,786,808,787,634,775,988,371,635,203,973,472,122,
904,365,455,002,602,790,594,116,045,269,913,348,921,947,177,984,036,654,368,
469,430,384,189,383,661,483,191,401,958,063,877,857,761,330,461,194,796,459,
594,862,188,989,606,857,384,867,129,628,118,410,271,146,595,013,377,350,842,
670,820,520,597,905,446,498,209,434,606,912,307,536,993,923,713,958,573,217,
309,808,058,179,890,554,045,050,103,314,545,989,140,935,405,291,815,661,478,
780,352,931,121,770,183,576,874,699,419,317,707,920,093,208,522,948,431,449,
590,034,164,935,301,111,049,076,646,666,720,339,322,698,238,050,733,718,220,
424,008,513,119,105,609,955,498,970,479,252,548,963,960,090,471,587,839,185,
761,680,446,628,611,118,603,955,589,212,177,981,044,012,286,544,809,817,586,
097,045,202,293,121,868,295,421,090,762,371,339,962,877,899,209,650,077,290,
256,032,611,877,420,885,705,938,269,364,582,373,440,301,984,386,819,982,742,
689,555,644,876,930,401,663,529,562,535,831,978,788,596,572,788,378,814,033,
047,585,108,504,442,792,148,868,186,899,919,167,401,954,083,507,291,830,191,
840,820,924,078,994,482,813,258,502,978,895,095,787,224,972,367,629,392,658,
158,556,624,236,671,336,700,682,408,981,554,995,010,887,144,609,023,817,847,
889,653,258,687,351,601,970,966,350,962,274,659,468,998,516,283,798,525,261,
792,240,388,577,390,456,324,166,535,574,972,159,798,134,358,964,079,487,750,
650,888,672,236,033,818,066,577,795,918,545,198,033,961,848,556,081,546,232,
288,577,241,204,456,284,020,879,749,172,871,718,493,117,215,803,752,762,137,
936,142,600,295,508,151,195,993,257,655,798,118,901,979,119,272,290,542,805,
481,874,078,502,795,697,703,777,091,825,375,915,523,726,698,215,335,190,806,
599,173,070,098,218,859,866,043,867,858,495,154,289,298,570,021,015,237,019,
461,689,488,423,398,524,342,034,905,570,001,429,635,816,326,797,223,212,078,
481,598,057,562,228,569,802,546,408,608,612,334,074,878,818,993,746,254,516,
609,375,013,763,527,715,702,260,891,654,235,639,562,534,488,648,390,339,635,
720,575,387,417,352,047,038,246,536,376,571,576,897,096,360,802,033,454,388,
076,315,986,899,925,910,576,454,367,556,996,579,683,392,798,209,555,279,512,
156,390,622,360,599,518,247,057,985,818,493,089,028,755,656,414,152,037,330,
470,676,711,207,866,619,195,310,500,795,793,090,780,922,874,964,949,045,582,
575,701,566,987,835,313,539,382,458,676,744,497,232,543,469,383,146,302,242,
665,616,899,115,362,070,143,090,637,848,339,582,771,595,918,889,954,915,474,
114,383,294,048,712,251,256,765,751,051,052,486,708,056,845,286,338,897,097,
834,808,804,993,918,488,411,185,523,105,761,361,159,142,231,088,829,909,709,
772,430,020,450,796,123,915,590,114,450,412,437,857,110,017,817,461,708,866,
712,035,053,772,125,754,139,009,047,777,013,421,735,395,755,860,920,474,778,
636,069,848,525,649,735,944,219,493,936,983,487,440,441,693,657,701,839,940,
265,816,576,765,000,102,707,046,783,790,585,494,178,848,719,263,449,553,434,
538,555,696,834,448,537,505,836,837,707,717,413,983,217,207,413,495,102,235,
277,223,209,804,615,627,413,100,023,278,333,889,711,958,896,465,983,470,537,
623,341,713,044,068,724,288,083,281,743,381,505,950,628,024,534,089,405,616,
916,933,276,754,435,420,938,585,811,751,071,200,431,100,625,484,095,996,393,
334,279,666,165,657,276,932,751,762,167,212,369,784,750,588,640,244,830,448,
998,921,616,001,177,777,275,880,238,558,864,309,002,952,309,023,339,711,046,
023,739,713,817,096,049,302,923,040,012,772,720,821,283,855,539,273,722,188,
004,009,840,851,224,184,256,744,193,599,673,660,010,946,079,632,675,704,672,
402,743,917,978,246,236,150,456,624,681,953,110,293,497,724,438,399,929,861,
535,705,841,366,254,787,320,310,793,725,872,677,358,575,150,626,245,825,169,
541,341,158,849,791,524,656,421,790,004,152,290,368,042,977,014,456,198,655,
698,867,419,622,576,446,383,391,331,101,213,811,491,779,048,057,066,178,049,
006,235,556,406,194,325,417,564,655,191,291,342,542,322,313,481,029,625,220,
843,617,324,436,387,018,740,112,289,438,993,538,130,128,227,325,004,342,362,
678,737,298,754,748,418,310,676,165,424,029,351,040,571,777,204,290,949,969,
933,570,879,608,652,630,137,490,534,879,500,696,595,997,515,499,172,738,519,
858,823,101,343,055,076,121,330,871,361,531,649,124,101,373,329,912,602,123,
828,700,297,550,453,842,367,806,792,596,745,004,258,840,046,477,273,787,285,
774,313,753,827,211,424,651,342,742,285,708,914,725,300,140,101,171,073,619,
131,571,943,326,033,703,413,295,344,649,003,770,028,556,723,731,628,332,169,
811,547,710,412,996,346,558,877,799,668,426,658,130,865,522,643,947,506,786,
429,652,005,646,253,767,399,086,646,114,600,095,946,638,904,037,992,974,922,
123,270,702,012,180,551,040,887,218,164,384,648,983,063,125,569,271,532,830,
673,091,486,046,178,481,099,774,543,915,637,122,200,292,364,947,406,664,370,
383,954,735,284,569,687,577,913,276,177,460,309,165,899,751,615,565,436,725,
415,382,959,098,984,334,026,814,947,597,897,723,564,782,279,114,489,929,368,
498,162,573,423,447,098,017,452,980,479,605,300,816,420,888,921,766,739,712,
621,027,195,113,970,428,477,287,613,694,786,164,966,936,542,742,101,199,264,
265,924,304,327,415,164,068,660,793,083,722,615,769,505,800,110,402,251,164,
903,556,272,063,333,478,740,950,603,452,503,076,599,314,730,116,740,474,133,
255,817,709,257,865,776,179,801,655,984,812,635,575,463,990,933,073,432,090,
306,814,363,778,264,510,634,792,098,674,187,318,331,394,909,370,376,926,552,
482,049,568,793,990,588,982,198,973,614,932,712,675,830,916,793,096,700,143,
910,359,380,968,217,404,336,375,272,954,540,779,293,780,137,840,230,753,334,
756,049,744,878,604,614,887,862,155,133,169,347,960,446,832,312,568,397,264,
753,101,054,504,462,391,242,927,725,440,830,560,791,306,153,746,913,134,113,
917,293,745,679,332,679,548,104,674,104,191,260,943,171,713,457,054,351,418,
417,866,839,213,338,193,397,693,463,499,773,627,087,635,143,557,071,548,621,
084,375,596,815,031,829,854,830,889,538,855,833,998,813,590,694,154,595,691,
430,636,875,336,918,013,460,243,766,922,383,652,562,426,391,506,181,887,492,
325,742,775,616,665,335,860,142,705,028,151,846,723,808,597,244,185,933,307,
480,326,996,156,011,972,036,911,451,086,103,809,776,799,577,774,269,517,224,
960,569,955,725,955,450,309,945,918,504,968,131,653,545,141,885,430,680,914,
184,443,131,344,610,955,449,543,183,459,312,013,094,632,617,257,072,118,544,
627,111,061,643,700,770,929,562,676,605,749,817,662,951,654,562,367,021,185,
854,326,293,341,814,921,636,564,363,891,872,068,761,024,788,774,031,592,131,
454,802,919,378,135,959,286,154,067,928,751,719,400,892,636,550,057,161,768,
575,658,609,797,124,235,675,606,857,812,687,428,338,431,045,586,440,007,797,
034,480,529,744,438,214,470,509,017,285,602,422,404,067,418,887,890,946,761,
415,193,377,928,372,387,369,577,217,066,757,159,894,951,627,536,840,458,549,
803,750,237,134,692,054,019,492,600,933,804,984,914,653,374,881,841,119,550,
634,608,192,425,137,285,457,991,651,797,260,976,480,668,565,380,419,106,463,
447,768,245,755,554,985,871,934,157,749,251,112,943,402,301,385,281,527,562,
320,832,605,059,965,074,634,631,377,648,289,730,920,735,233,778,348,872,877,
398,483,561,068,824,531,059,769,467,654,480,787,998,798,180,613,925,316,914,
173,746,486,047,256,037,268,190,941,463,598,490,469,724,964,725,715,821,134,
581,994,487,335,152,739,904,360,381,012,230,636,742,176,226,078,562,129,534,
665,931,198,812,362,060,696,270,524,936,478,368,866,440,355,169,675,130,197,
371,932,013,389,814,775,345,415,078,269,741,664,931,666,364,696,805,280,136,
669,863,060,489,708,270,379,771,579,486,202,687,204,906,683,890,745,213,859,
619,181,712,972,481,811,877,654,019,454,739,821,143,453,695,208,805,153,130,
819,426,277,450,497,263,409,116,300,203,940,994,814,638,174,397,316,649,167,
167,834,744,870,947,006,611,192,130,257,061,545,809,270,252,120,180,023,504,
757,505,781,838,575,564,205,643,691,264,580,312,324,811,200,693,610,575,015,
558,887,916,030,728,251,019,351,315,461,443,302,982,282,476,760,965,529,072,
420,083,751,139,045,636,573,711,360,276,139,994,735,655,727,306,290,451,148,
038,161,192,961,151,301,041,981,038,621,556,556,871,275,443,064,785,564,828,
936,934,940,684,296,365,760,194,455,834,048,568,952,884,785,753,347,509,740,
844,331,401,358,503,292,594,168,603,465,123,054,830,541,317,344,559,105,652,
601,509,091,970,341,860,938,458,936,739,949,740,667,761,343,305,106,306,288,
856,283,611,157,170,310,398,408,334,108,250,158,783,663,445,596,578,445,822,
901,748,183,261,169,914,997,490,759,585,450,260,974,333,656,216,641,410,952,
098,733,632,569,814,245,944,053,139,477,406,194,362,905,120,147,170,650,668,
545,377,174,456,381,992,886,022,063,673,935,150,178,173,350,864,823,198,049,
550,023,454,841,711,969,946,474,699,679,581,479,546,412,414,516,607,428,290,
110,431,812,910,225,913,380,313,167,603,889,213,206,728,070,827,141,677,179,
333,436,894,736,209,798,563,923,663,037,452,364,997,890,381,619,113,014,408,
214,492,452,681,384,422,183,204,286,576,494,657,557,572,266,364,378,014,030,
720,041,150,670,918,891,143,282,890,818,817,114,667,832,536,151,413,150,934,
608,018,327,150,774,595,620,493,760,654,830,368,851,015,850,344,610,332,928,
276,071,976,504,880,424,251,384,480,441,704,771,632,206,248,516,018,124,648,
246,084,152,870,372,298,927,205,637,537,302,346,987,555,924,328,813,824,121,
073,329,044,781,922,046,864,977,394,680,946,824,237,530,210,378,653,465,814,
217,396,729,122,411,064,174,059,791,956,319,862,405,458,892,428,717,090,832,
511,095,381,473,897,745,673,558,410,218,187,570,187,299,479,477,405,530,410,
318,532,594,706,799,679,707,267,145,676,794,124,901,639,465,498,679,872,041,
554,926,040,163,685,136,534,972,263,270,594,423,441,676,522,499,435,772,217,
744,216,561,306,497,115,035,973,450,209,533,603,694,394,328,484,982,136,857,
258,888,321,474,668,324,909,069,643,866,818,609,520,316,327,889,528,962,121,
055,000,420,885,906,585,099,496,995,362,068,065,102,023,999,094,671,901,868,
567,307,199,686,724,070,824,437,566,462,722,001,467,024,818,986,147,650,652,
381,450,655,404,217,687,673,129,532,936,627,005,723,287,805,234,479,763,894,
472,484,785,517,893,439,079,580,154,919,057,868,655,202,285,909,949,253,248,
037,816,346,497,910,529,136,034,475,276,378,944,230,993,054,971,999,243,095,
424,627,625,499,657,355,921,351,894,361,437,790,256,205,165,988,475,570,374,
005,523,321,586,752,386,237,876,197,936,089,948,937,667,731,833,849,495,377,
788,151,672,682,620,450,448,379,286,316,125,678,814,211,373,059,267,668,185,
816,039,058,566,332,084,407,185,475,764,634,331,999,084,623,177,931,729,535,
318,585,324,643,131,012,022,837,519,144,046,049,005,181,382,425,500,905,116,
020,334,384,885,439,922,466,730,266,824,789,056,431,953,264,643,726,595,930,
349,278,287,792,965,895,341,745,353,628,955,177,331,740,981,755,800,605,042,
609,468,848,628,394,048,375,464,682,374,477,391,897,037,727,308,012,319,780,
744,607,727,689,496,805,520,033,371,460,764,800,260,328,342,425,550,526,296,
662,013,842,991,395,671,248,616,849,136,469,640,632,247,302,477,731,343,212,
218,392,603,003,699,321,291,730,716,133,669,368,019,344,593,338,720,815,024,
558,878,176,090,955,678,741,007,843,243,825,453,125,757,890,290,882,407,967,
039,108,869,283,316,956,122,615,851,336,712,291,817,569,677,231,839,463,291,
369,785,126,444,033,258,392,291,508,374,139,709,935,532,709,155,014,414,452,
224,384,991,457,413,428,675,370,567,768,590,119,752,957,197,212,963,253,801,
742,064,975,485,799,928,096,730,380,603,465,724,830,597,455,485,522,106,321,
088,682,808,084,762,491,429,191,841,162,888,499,508,025,735,042,038,786,809,
940,938,636,766,634,291,797,515,047,318,204,699,510,702,269,531,999,968,272,
005,971,316,350,839,086,042,722,009,264,679,950,713,153,625,907,886,388,555,
517,412,885,708,454,538,017,690,669,734,765,252,313,168,186,079,055,965,043,
759,616,064,749,897,255,774,214,200,962,472,838,438,158,833,193,109,104,296,
966,394,775,789,986,134,921,482,036,712,851,980,199,514,443,007,865,595,112,
939,080,815,086,228,729,603,985,337,663,434,653,297,000,796,167,561,765,939,
619,264,235,366,191,409,895,311,123,379,123,285,613,723,337,097,133,102,621,
214,844,363,199,659,425,532,572,221,374,194,764,932,391,929,114,863,301,663,
727,449,314,166,773,447,305,146,931,615,802,011,048,338,829,004,360,052,085,
536,647,913,268,096,677,555,243,770,124,968,642,283,872,479,228,036,960,781,
335,592,566,369,238,137,236,718,237,258,913,279,943,616,365,853,693,800,341,
442,274,276,355,895,197,460,288,010,126,802,430,229,327,671,016,789,783,500,
218,221,025,405,217,937,067,403,391,918,201,660,481,945,432,326,116,284,190,
893,002,226,930,987,370,580,103,190,448,408,634,482,003,762,113,549,396,828,
782,784,249,589,812,248,003,031,292,864,708,237,642,859,600,638,132,085,752,
595,028,501,648,853,708,391,052,136,538,193,291,528,856,125,033,239,468,282,
280,273,129,884,281,431,926,762,385,502,098,322,785,041,611,274,720,619,973,
972,210,374,952,027,657,721,853,186,952,920,607,937,304,260,436,486,059,359,
659,571,846,900,526,278,740,364,495,507,235,620,824,842,126,607,323,769,189,
372,040,040,344,375,240,756,128,948,116,090,878,277,982,672,451,623,969,447,
050,169,813,678,353,550,458,367,463,194,195,239,181,047,172,711,450,692,998,
082,850,445,751,630,499,507,222,926,461,483,409,233,246,552,046,044,713,549,
762,632,601,291,262,839,644,115,388,018,390,775,073,514,122,480,672,788,846,
341,503,231,312,485,342,520,421,696,815,339,306,607,061,406,322,088,692,440,
266,285,263,126,913,181,554,432,124,387,087,567,387,027,036,107,090,654,802,
149,852,172,285,201,840,677,068,570,525,950,465,426,827,763,243,738,368,447,
692,186,252,245,135,441,983,427,184,411,229,895,281,262,905,100,946,289,825,
115,251,899,977,376,943,598,859,939,825,509,654,976,112,324,365,106,498,910,
308,058,437,875,360,400,671,363,921,174,661,960,564,313,782,145,375,906,819,
800,543,255,148,962,386,044,113,196,516,226,078,867,117,836,679,433,526,325,
208,788,657,171,317,611,091,227,921,347,347,991,250,425,426,524,547,404,933,
893,479,178,548,208,060,545,055,911,383,892,852,104,900,091,964,224,528,691,
425,721,316,280,200,950,534,243,995,004,558,368,877,024,506,985,976,983,256,
005,390,525,484,921,313,783,092,661,615,534,895,570,607,891,692,969,835,654,
925,871,442,646,578,474,743,118,178,102,918,510,708,255,869,480,299,977,827,
129,227,388,112,584,818,204,185,010,314,515,491,845,741,730,191,474,604,830,
149,367,079,709,742,407,179,754,117,135,441,975,815,247,903,984,949,013,870,
393,500,970,942,780,999,671,380,184,819,409,041,176,017,452,616,400,808,834,
401,231,112,005,511,680,331,605,322,403,460,668,063,270,190,121,819,491,154,
241,112,314,568,067,646,123,633,460,035,665,425,989,326,339,384,164,031,160,
743,967,986,449,443,268,311,037,509,056,906,269,296,998,525,611,767,913,588,
303,122,496,347,648,598,286,859,536,954,291,458,439,144,498,136,793,028,730,
264,918,698,985,238,222,404,612,351,606,520,071,567,394,923,425,270,836,162,
202,446,254,017,243,269,409,192,760,180,205,347,302,158,397,062,591,496,877,
998,687,053,173,197,297,582,875,865,925,378,562,032,787,122,864,623,327,185,
692,546,745,272,117,680,322,794,865,277,164,606,717,233,440,480,499,555,248,
341,626,146,207,233,905,458,306,473,261,359,534,886,405,567,543,742,062,643,
273,823,156,091,079,556,816,852,869,274,716,123,883,867,970,280,946,998,475,
709,770,590,991,076,977,994,031,992,845,307,188,287,259,199,232,374,695,645,
120,404,583,188,213,068,857,100,568,335,884,560,091,095,588,933,051,840,348,
148,541,722,476,890,194,436,094,506,338,819,946,919,226,440,025,713,498,304,
014,247,280,687,970,001,790,498,839,394,183,623,277,978,778,356,493,852,991,
579,140,329,688,128,791,085,504,300,912,088,925,006,873,840,091,946,303,534,
677,380,808,110,397,593,500,780,346,942,302,923,928,723,772,307,369,912,143,
109,111,942,325,970,027,462,988,347,497,450,357,360,529,069,071,093,018,823,
071,548,707,077,513,133,870,109,694,600,287,337,298,439,577,652,475,855,265,
986,563,694,472,021,423,537,717,337,197,669,935,618,012,398,952,075,439,543,
849,666,335,838,164,032,030,051,425,342,145,898,170,563,340,042,796,631,779,
929,878,644,163,227,314,143,757,757,113,922,694,698,777,163,019,695,993,315,
382,471,670,937,328,582,440,243,000,076,743,283,529,076,430,944,686,628,923,
527,733,463,105,072,842,493,843,226,222,069,847,560,105,909,421,040,758,181,
999,671,715,393,535,694,110,365,388,404,150,779,636,658,898,428,744,329,188,
124,797,528,428,060,253,514,609,799,072,054,101,633,153,438,260,613,492,802,
688,220,408,850,361,599,434,147,732,121,553,169,732,835,649,628,325,265,900,
101,398,924,397,833,527,996,854,757,298,432,922,623,324,835,121,052,278,599,
313,800,768,191,724,775,635,521,161,299,479,911,925,079,160,450,307,253,826,
804,595,420,262,008,472,159,892,987,454,597,565,067,661,952,835,715,759,476,
790,936,330,382,282,757,452,662,123,911,877,240,109,107,286,238,887,516,530,
834,056,017,948,779,913,860,810,815,887,511,151,287,242,815,799,641,379,815,
900,805,018,637,485,877,434,999,732,376,460,723,253,101,508,989,017,555,295,
824,435,668,203,894,583,530,605,091,012,095,901,082,793,638,921,748,674,604,
303,262,378,898,168,536,961,043,990,432,996,336,435,635,869,161,447,653,995,
367,914,731,067,996,033,563,022,545,981,105,011,583,306,499,884,921,908,634,
984,237,005,594,003,762,570,017,179,520,838,245,382,692,536,474,506,301,215,
931,091,422,760,026,666,976,292,993,606,534,457,987,781,680,645,031,906,183,
609,127,249,707,418,544,204,609,708,535,948,715,758,159,463,479,860,518,850,
318,653,667,080,823,359,349,056,549,383,812,447,896,379,419,994,362,646,350,
783,582,972,173,962,808,821,619,666,862,785,351,828,709,396,346,495,890,123,
669,934,027,867,284,612,846,995,310,314,375,462,540,402,259,637,139,221,276,
159,883,459,837,863,436,111,915,557,380,787,487,897,684,324,706,061,290,725,
435,071,784,213,048,704,354,990,337,954,437,577,929,291,566,974,167,917,466,
530,853,554,060,299,441,980,125,011,540,593,435,267,956,322,561,587,296,626,
664,194,132,501,950,084,812,763,419,648,405,587,549,194,067,228,901,799,711,
182,404,244,454,383,842,066,862,101,047,932,392,485,616,274,724,185,865,995,
089,430,621,993,357,234,764,371,377,344,477,686,273,959,973,275,837,068,510,
124,374,432,162,470,992,373,923,777,685,415,321,254,281,039,857,976,078,863,
028,766,698,690,176,819,806,061,795,793,127,263,282,749,224,097,226,530,165,
989,224,992,206,350,370,408,983,767,419,108,496,306,324,187,484,535,625,893,
489,791,599,681,672,526,481,705,211,301,242,487,855,591,984,891,033,180,444,
593,208,082,627,279,281,426,479,240,909,092,002,736,492,891,539,564,773,368,
045,478,493,903,204,373,079,742,874,096,363,238,641,684,452,765,800,267,053,
086,339,665,807,936,119,137,939,504,688,773,266,228,846,871,075,165,331,621,
516,369,827,334,055,378,949,826,734,223,053,302,026,661,287,414,398,879,524,
577,043,989,182,515,988,174,183,758,631,272,310,889,166,360,295,260,658,807,
698,501,828,779,539,544,072,809,500,322,969,014,968,003,009,556,056,427,509,
314,269,376,248,471,036,841,102,386,576,368,693,841,724,376,452,931,087,416,
151,768,775,250,284,962,825,445,017,773,616,678,931,523,380,024,173,264,800,
259,186,796,033,553,840,653,163,721,947,394,499,967,154,226,149,596,265,199,
933,798,252,801,338,383,159,208,616,151,083,917,789,864,276,570,902,410,641,
256,789,505,031,754,132,025,898,293,827,479,885,011,240,235,315,848,875,192,
257,464,645,513,685,468,892,297,525,671,639,363,423,866,675,331,001,253,001,
458,378,616,170,611,374,495,531,824,192,946,666,344,219,608,429,434,305,874,
656,431,191,623,843,017,396,013,055,602,971,649,397,546,129,855,275,813,865,
105,167,759,188,298,482,480,167,141,329,765,110,832,654,048,020,641,802,092,
729,719,176,860,218,735,056,559,205,141,809,627,520,438,017,715,270,297,166,
193,298,339,044,824,736,893,751,491,575,312,561,883,598,931,578,556,731,842,
208,502,163,146,810,949,576,885,969,015,847,930,362,505,676,709,870,827,843,
260,099,777,467,444,665,973,284,113,887,506,577,227,471,381,519,320,636,330,
985,440,795,454,777,127,804,711,569,332,405,704,795,049,456,906,756,022,050,
199,789,324,117,490,321,895,726,776,177,499,955,191,328,094,784,981,027,216,
745,366,096,177,282,482,179,324,357,030,587,629,130,205,746,029,387,608,587,
851,044,536,119,829,212,008,152,915,365,070,750,407,076,074,103,239,463,799,
210,334,143,787,531,885,301,678,777,992,144,924,486,788,907,988,404,696,805,
591,778,930,481,184,953,417,473,253,288,154,392,056,235,971,361,928,465,408,
049,506,911,299,393,650,713,605,253,119,559,517,419,015,719,189,847,180,660,
581,332,355,227,974,196,509,412,346,104,856,062,153,345,537,703,848,799,554,
125,967,794,533,850,946,850,667,661,384,756,765,912,515,855,298,386,156,533,
378,342,261,603,941,275,258,924,810,159,781,311,978,520,651,127,100,907,873,
723,081,797,686,359,911,458,793,904,291,792,153,666,952,550,833,042,610,223,
370,360,135,029,407,486,878,641,274,203,451,348,959,427,001,349,289,721,621,
741,661,222,472,628,565,506,557,182,050,160,456,908,333,919,262,799,256,497,
005,065,654,295,255,253,871,254,160,536,254,820,077,255,705,520,494,603,307,
675,009,355,574,695,652,367,676,026,303,939,602,229,714,627,980,799,886,332,
142,173,996,610,136,881,626,437,604,301,589,486,735,331,644,743,778,315,451,
678,938,517,315,279,381,187,991,245,233,696,071,551,151,995,826,451,438,529,
634,453,980,920,776,023,884,112,052,776,129,647,986,971,724,860,838,509,704,
559,973,559,605,027,804,167,800,919,028,950,738,450,667,739,106,208,686,447,
157,051,966,628,664,339,262,930,280,391,416,189,479,631,883,400,708,372,323,
580,418,134,740,156,813,506,147,043,617,664,007,322,629,213,511,480,459,844,
084,181,869,269,381,575,507,870,768,758,883,664,165,820,393,451,431,061,884,
720,089,968,839,452,536,195,841,801,323,562,262,061,278,251,893,611,316,017,
359,068,528,498,415,708,843,730,826,418,228,086,964,307,280,746,350,534,882,
100,887,281,527,060,464,896,453,736,921,701,932,529,154,909,095,024,152,705,
461,293,142,571,428,767,985,199,522,900,743,497,248,440,667,191,291,294,573,
757,134,443,069,887,712,309,882,180,101,092,700,957,087,117,773,834,712,823,
477,993,471,390,667,028,983,131,045,782,737,540,870,496,222,696,357,162,590,
419,677,185,654,499,260,911,325,742,299,078,806,652,459,449,112,723,043,655,
090,906,021,814,506,597,403,122,433,480,095,073,731,579,890,280,862,554,803,
116,774,601,588,636,756,240,902,653,061,290,698,816,741,718,791,228,863,879,
592,304,090,560,795,703,434,457,995,572,603,152,852,814,752,912,741,447,380,
209,329,406,838,015,934,038,976,364,509,492,452,971,372,405,973,029,020,776,
632,339,066,002,646,639,610,203,279,300,743,244,354,662,748,718,694,291,417,
774,750,147,118,422,488,055,540,034,143,602,732,272,568,031,191,659,008,454,
190,501,640,053,415,942,582,828,864,905,823,955,920,357,315,697,694,363,898,
601,215,767,318,139,705,433,589,092,671,811,718,023,997,995,310,911,916,538,
072,989,643,034,808,540,071,071,009,544,556,722,429,041,406,955,414,996,536,
815,024,622,599,069,821,391,129,397,990,913,547,880,193,009,845,582,296,497,
147,824,173,006,213,816,680,969,205,003,789,742,399,058,504,283,185,820,672,
405,242,715,287,361,005,438,981,699,554,007,525,887,331,660,841,165,046,241,
090,062,603,573,454,828,068,109,793,378,698,542,630,710,846,995,249,497,501,
510,853,220,188,220,339,912,376,126,328,491,435,596,990,187,578,170,427,102,
873,356,402,921,921,604,912,173,940,544,111,154,524,168,529,161,446,155,435,
046,232,726,668,239,446,885,101,206,767,229,319,021,903,622,965,373,954,311,
259,757,755,799,651,159,100,918,476,303,776,948,133,171,965,754,128,850,988,
260,005,848,948,955,972,070,273,519,653,052,412,144,606,946,623,956,842,972,
127,721,010,034,420,832,233,073,621,430,803,783,513,377,501,109,010,603,944,
266,482,951,477,907,638,084,068,161,045,359,805,023,271,564,001,923,584,169,
257,581,316,329,259,942,854,987,780,097,310,008,446,484,229,151,302,050,246,
331,223,511,802,097,871,746,563,219,262,522,204,166,899,376,368,081,910,980,
318,039,248,057,131,073,283,209,658,016,331,877,662,294,347,255,161,769,988,
395,441,644,640,275,043,429,670,654,566,190,668,178,252,707,570,593,513,941,
671,720,743,407,132,399,448,481,400,425,176,429,805,677,876,520,761,258,984,
095,252,940,222,971,426,980,096,033,174,844,287,267,154,150,457,059,941,033,
151,795,511,376,414,507,300,560,205,395,777,734,664,799,619,496,033,028,196,
785,168,653,638,526,742,564,194,863,495,911,477,749,701,827,280,930,781,618,
641,387,720,160,997,122,989,565,783,789,290,863,846,490,531,321,541,365,604,
167,621,448,918,287,303,347,069,355,339,291,737,351,753,900,626,080,859,465,
962,963,742,953,012,427,799,692,029,545,878,000,211,099,990,745,941,147,183,
607,692,976,073,268,829,387,030,399,153,947,761,260,684,519,110,244,208,737,
390,353,795,785,858,776,671,574,569,926,406,518,112,562,043,644,436,173,988,
002,952,911,890,645,666,649,853,372,126,815,591,677,435,328,340,665,862,465,
722,958,887,196,319,445,206,352,684,627,814,760,186,343,691,824,933,220,606,
552,198,195,931,801,146,758,110,457,429,126,148,139,883,701,396,517,729,237,
209,572,710,152,263,095,406,058,397,179,437,478,531,627,895,383,229,243,091,
791,862,827,052,779,971,587,034,835,974,146,667,606,683,752,475,739,745,407,
994,350,468,130,402,864,833,585,661,870,798,144,311,153,945,533,972,549,853,
906,416,569,137,975,211,687,424,229,775,436,129,621,699,360,825,258,152,326,
969,104,132,674,394,576,048,515,029,289,393,699,337,225,238,074,304,877,676,
412,006,604,625,730,253,366,204,496,414,014,871,038,442,772,657,892,119,979,
109,081,377,924,805,242,967,129,590,194,193,365,172,984,060,994,486,177,909,
633,363,023,871,158,163,677,147,687,362,678,402,158,649,348,505,054,874,358,
642,704,693,310,823,125,695,525,707,448,829,178,004,148,100,691,634,450,036,
605,735,053,435,085,155,631,311,334,917,368,213,974,445,888,607,022,662,741,
250,643,420,584,183,829,734,172,696,897,952,665,957,440,906,588,750,211,883,
089,572,635,052,546,332,156,152,531,278,289,526,973,572,980,795,274,818,000,
118,105,034,253,646,532,197,348,171,860,471,456,563,320,237,131,963,812,871,
762,301,426,372,996,792,129,070,978,560,734,746,954,053,661,279,488,114,903,
145,372,249,388,248,992,359,483,223,378,094,210,956,569,849,505,676,917,586,
159,931,374,111,035,753,509,523,244,479,417,119,112,529,122,975,759,528,661,
526,283,373,459,078,683,677,512,070,085,746,388,435,063,631,592,766,747,057,
869,426,667,186,262,603,910,572,625,252,492,854,405,754,119,443,918,191,296,
402,810,318,631,560,569,414,684,565,844,025,441,908,178,652,217,175,815,408,
533,020,487,182,621,030,435,498,337,051,172,825,263,344,165,825,225,817,778,
093,267,631,727,529,920,953,220,229,353,152,580,070,429,663,649,614,985,133,
998,739,375,901,778,175,290,933,721,388,346,289,871,602,069,013,720,139,623,
849,398,701,080,157,761,264,252,669,990,658,574,865,770,218,693,130,051,645,
037,629,036,123,220,532,413,488,503,496,153,891,786,567,830,522,111,506,201,
217,378,572,546,569,901,428,469,314,535,940,583,081,437,698,591,986,669,236,
851,405,423,923,495,269,500,949,466,271,018,248,593,920,371,846,986,023,720,
646,743,922,934,677,729,207,042,370,313,218,614,403,237,904,524,888,004,168,
775,142,766,243,530,078,899,944,222,024,982,579,343,030,493,240,525,369,211,
942,021,673,239,450,625,375,083,951,412,621,749,105,672,189,197,957,029,785,
206,023,295,475,698,306,177,618,832,416,860,923,514,047,607,499,710,881,351,
676,907,981,619,928,319,374,437,265,515,278,484,995,580,588,216,777,102,770,
997,424,110,731,908,832,403,161,865,585,570,778,182,096,517,994,642,623,307,
587,308,944,036,604,294,318,500,687,845,942,838,198,206,381,413,976,160,411,
068,226,344,075,902,731,637,123,506,778,450,186,610,946,861,053,467,189,307,
620,340,399,247,842,873,487,066,688,013,250,176,927,594,528,066,454,669,450,
841,899,805,769,615,713,969,755,850,439,280,016,729,897,258,055,188,490,867,
582,138,863,797,571,338,388,731,001,330,286,910,283,298,922,655,369,386,946,
790,852,830,298,363,958,783,732,647,497,989,628,261,273,534,070,685,688,570,
177,509,007,137,043,767,305,964,960,959,169,605,255,366,430,444,470,954,463,
155,457,094,803,881,812,834,723,237,057,591,693,653,388,898,859,085,058,120,
769,961,070,113,606,593,570,003,577,218,802,656,930,555,686,988,028,400,251,
255,948,903,236,721,446,590,444,486,603,342,958,564,647,070,868,919,646,095,
128,871,790,990,326,505,076,333,296,150,889,284,688,035,210,817,710,132,637,
878,730,742,376,448,103,668,922,239,305,908,017,042,112,348,847,447,033,212,
433,890,606,330,485,806,124,843,574,974,900,514,248,234,769,061,505,243,167,
034,289,440,118,602,939,464,437,747,271,338,728,861,747,849,354,353,601,685,
249,788,865,407,462,025,121,539,279,551,256,641,985,401,410,432,376,889,411,
628,443,005,901,622,807,714,303,271,513,043,235,406,861,368,966,244,575,514,
583,641,064,492,911,558,341,947,609,638,876,345,247,572,104,967,414,724,156,
259,393,927,087,348,862,836,247,451,508,626,366,787,262,091,647,168,628,252,
777,940,720,362,827,740,459,386,831,055,645,148,524,385,156,089,725,914,216,
577,620,596,554,668,062,499,598,777,960,483,537,515,309,498,109,187,364,716,
900,155,748,952,623,987,614,587,583,185,135,855,671,015,124,160,190,535,973,
706,468,141,534,063,426,999,953,513,372,872,343,433,292,122,878,551,299,000,
519,017,739,471,145,125,564,389,126,950,154,162,638,210,042,883,562,213,207,
846,603,371,812,981,791,406,021,007,381,979,395,687,051,951,307,007,293,350,
545,294,488,495,712,381,800,830,446,701,767,847,982,572,814,854,115,216,178,
769,272,983,017,301,007,595,568,471,106,914,749,388,500,628,365,486,723,802,
844,151,374,395,367,282,562,615,066,663,118,027,451,618,922,847,944,382,803,
027,978,062,454,011,509,127,958,557,405,848,685,211,056,894,053,453,013,859,
194,382,015,600,524,174,272,832,926,347,422,984,554,564,742,249,502,630,761,
727,613,584,791,114,018,910,509,983,542,245,638,196,189,515,394,867,722,430,
631,630,611,998,820,447,603,523,101,046,934,037,440,578,370,844,512,089,270,
320,244,656,307,751,997,768,316,333,947,220,145,644,424,590,741,991,773,099,
708,909,034,753,052,034,821,096,812,461,817,189,504,659,094,894,075,705,863,
038,248,745,365,419,433,916,693,293,404,920,881,185,434,619,847,955,044,982,
874,505,037,307,780,341,490,169,668,092,138,962,947,438,391,986,345,296,736,
250,627,852,392,227,018,224,154,810,950,364,815,120,713,349,291,749,016,555,
853,037,211,222,499,366,635,674,462,482,461,955,770,704,733,797,575,581,026,
222,241,399,575,596,632,722,688,130,602,980,566,802,154,386,611,193,159,977,
420,511,319,329,501,706,703,390,306,977,856,340,522,405,057,618,364,001,360,
644,515,833,846,065,488,382,874,867,352,365,693,667,983,229,807,776,068,585,
171,044,749,522,596,142,647,126,132,876,268,001,663,496,362,480,585,340,679,
433,643,868,285,495,402,091,103,957,446,781,313,762,829,347,176,258,944,747,
641,440,915,515,596,474,253,866,508,312,896,983,328,644,023,015,923,809,711,
562,577,706,201,224,767,255,821,035,475,392,318,918,081,700,898,925,773,797,
332,612,659,225,334,665,174,844,153,203,100,948,938,068,783,397,008,898,341,
577,082,571,138,097,757,333,414,337,492,061,752,217,369,832,702,148,340,179,
533,096,243,040,446,710,930,326,815,376,864,547,060,196,065,955,924,565,280,
657,177,333,138,084,525,467,431,852,040,494,295,984,449,226,962,594,695,869,
878,707,752,548,922,492,504,296,069,279,116,149,104,090,254,146,170,537,210,
613,611,633,505,677,168,092,325,180,983,961,366,408,211,155,036,839,545,474,
171,527,230,405,814,940,253,811,748,043,584,265,096,238,705,611,214,608,101,
836,749,269,662,109,491,815,717,276,294,403,622,543,721,261,014,423,439,657,
842,234,401,586,078,930,560,427,077,843,056,206,236,922,409,232,393,853,297,
437,795,365,004,052,998,028,169,022,784,299,130,180,518,319,259,714,160,058,
697,025,182,248,187,725,609,652,769,689,930,567,679,311,035,786,126,352,282,
048,767,670,883,252,702,758,266,493,114,521,270,693,672,638,007,939,074,502,
772,428,981,477,460,694,195,199,105,459,433,223,070,101,785,826,128,562,232,
907,022,344,505,733,434,571,641,691,965,411,288,027,460,074,730,563,484,461,
393,047,944,197,052,752,326,723,780,974,883,409,699,509,671,876,529,648,900,
083,289,097,361,661,183,625,238,950,989,204,289,229,931,406,038,055,895,532,
433,602,246,749,459,374,592,455,586,104,560,550,603,943,994,423,870,913,750,
368,615,257,988,038,752,759,430,184,586,742,572,263,943,028,950,653,734,385,
285,581,447,001,499,569,783,133,852,306,372,868,064,769,212,350,031,215,517,
224,403,755,480,270,188,793,684,910,912,048,039,768,920,391,722,142,236,800,
172,124,594,977,680,909,386,101,846,865,521,753,420,621,668,570,635,585,356,
917,409,196,749,166,968,777,662,659,066,992,489,949,528,481,986,440,658,802,
978,216,015,180,303,636,284,378,982,366,970,782,362,729,442,736,392,322,904,
002,832,464,404,548,519,171,160,490,130,958,863,729,452,109,838,201,449,411,
612,670,553,809,383,085,752,604,042,469,833,457,336,161,039,165,266,603,768,
381,248,668,262,500,276,117,358,735,848,157,829,485,170,440,345,115,918,331,
435,467,248,492,454,998,928,750,990,432,077,151,613,980,866,390,501,018,265,
213,268,052,568,750,759,004,373,773,966,870,499,103,664,809,866,922,373,425,
802,393,121,169,041,171,631,232,260,512,426,304,338,717,357,363,322,378,806,
571,032,668,883,330,828,042,415,168,624,829,435,282,288,890,455,342,558,980,
266,703,583,131,551,802,915,849,403,402,777,286,769,246,175,850,111,939,311,
091,431,833,403,475,649,474,623,048,530,751,551,165,397,386,920,382,949,618,
917,850,044,053,658,078,152,456,482,429,589,716,843,524,181,898,414,183,633,
032,823,489,716,791,726,595,351,405,364,785,897,383,620,422,363,441,305,766,
016,409,156,384,758,059,405,960,633,515,491,963,283,545,433,683,076,492,810,
386,995,497,036,728,958,216,405,208,912,666,471,314,858,478,742,447,883,053,
088,962,984,050,635,364,961,930,236,911,950,671,267,155,154,394,680,461,713,
598,613,837,176,690,549,563,503,539,673,278,821,104,529,572,279,209,061,937,
401,029,913,572,552,268,813,544,622,803,597,394,361,493,492,804,945,282,751,
990,778,103,757,992,627,166,289,129,708,622,677,122,657,100,398,304,845,585,
200,908,922,392,239,687,775,530,026,281,049,330,730,764,325,623,581,306,039,
081,595,596,906,317,423,320,859,809,682,444,046,711,266,354,657,220,387,699,
522,187,805,395,654,405,596,403,896,673,351,233,046,344,805,231,205,692,636,
777,070,113,710,426,716,039,396,108,193,052,248,990,700,368,198,526,056,833,
039,461,992,176,602,616,611,773,847,281,230,740,870,364,454,741,690,481,734,
917,514,958,457,922,055,345,812,438,792,770,907,083,658,472,211,187,605,290,
196,235,674,410,586,120,477,288,609,746,494,974,062,821,276,618,232,356,504,
634,036,928,631,335,356,915,808,085,082,214,459,261,699,863,357,020,686,839,
304,135,982,530,671,611,769,045,190,876,011,942,574,845,931,681,188,512,418,
537,584,692,883,840,332,391,074,830,889,238,443,823,670,501,554,936,974,610,
804,548,452,834,094,534,785,363,089,251,771,027,850,812,840,078,251,361,838,
920,890,824,403,346,974,672,376,630,740,172,869,138,732,109,639,865,493,407,
626,284,573,346,764,007,562,656,420,041,439,494,352,632,405,629,789,626,925,
128,209,433,142,114,237,478,100,904,417,343,312,375,296,535,988,243,417,783,
221,240,727,526,630,970,818,485,951,814,158,958,541,293,303,121,367,429,090,
055,435,515,697,082,265,260,138,093,245,244,816,058,709,855,912,631,543,827,
484,183,860,721,923,449,827,726,044,804,252,336,752,889,569,484,174,693,309,
224,427,707,203,422,740,263,706,792,171,431,878,787,618,382,090,226,016,444,
147,605,506,316,826,485,247,271,087,837,656,048,930,107,036,285,200,696,872,
547,399,671,150,298,326,179,859,562,860,400,518,419,463,526,984,141,660,473,
875,637,683,545,926,050,628,260,584,636,364,481,511,374,756,619,420,805,146,
656,387,648,171,745,488,504,087,949,303,065,941,992,005,666,950,214,111,605,
285,896,338,783,395,953,303,151,737,369,411,799,447,487,289,401,309,539,315,
051,299,586,948,984,486,465,794,577,204,092,257,480,592,808,808,354,956,201,
853,996,817,172,131,437,271,238,920,729,225,928,289,428,223,012,735,808,654,
180,251,938,895,799,093,040,115,868,108,484,505,953,494,775,008,243,024,790,
537,436,336,852,024,657,722,397,896,600,737,931,099,567,061,167,964,752,443,
246,640,809,039,104,072,666,452,069,570,685,270,900,890,288,252,352,651,247,
448,035,944,922,462,878,853,822,857,468,065,808,070,825,693,502,022,700,424,
166,260,483,422,219,811,981,342,715,459,633,091,720,032,966,484,808,192,171,
502,533,106,940,142,006,703,519,362,268,473,639,590,882,510,896,496,725,182,
351,976,867,409,404,084,506,519,570,081,323,901,790,237,809,336,098,889,585,
207,465,407,870,664,543,325,629,377,863,488,893,920,728,484,181,701,772,699,
333,162,207,618,841,662,893,555,970,453,403,700,082,488,614,921,206,925,402,
433,283,835,684,170,600,560,699,936,026,459,541,796,721,141,475,430,473,039,
523,736,983,066,846,594,269,680,758,724,787,689,908,291,315,864,062,552,594,
732,300,457,498,912,774,721,932,617,847,971,860,919,395,244,383,587,589,074,
664,664,977,542,829,746,549,369,746,379,996,952,625,307,477,023,911,381,960,
174,084,493,181,102,623,679,343,304,773,966,436,332,972,178,868,132,164,118,
628,072,287,109,309,740,934,499,911,696,914,314,812,201,780,101,525,711,253,
378,174,324,916,394,184,727,785,751,919,801,009,378,348,687,294,638,441,815,
491,663,742,458,357,405,225,404,550,854,092,936,574,544,816,807,309,500,072,
310,341,112,663,051,660,611,514,574,711,564,140,612,366,626,309,350,267,179,
896,013,459,456,630,265,473,665,421,735,467,546,077,283,707,668,595,928,829,
566,820,152,575,717,586,438,960,066,922,911,199,538,543,115,609,482,192,725,
802,320,093,739,785,066,804,531,044,697,717,820,658,403,256,766,524,166,686,
583,904,375,225,294,501,898,384,260,430,920,785,656,204,385,872,938,412,864,
443,875,701,177,659,781,729,770,104,353,874,809,566,815,434,506,413,271,409,
903,231,191,805,492,321,572,452,253,674,663,902,051,940,876,753,047,417,746,
620,839,543,877,919,006,785,951,753,778,935,901,263,098,479,264,339,076,002,
280,354,994,801,009,813,676,366,876,630,088,791,045,149,554,604,109,507,424,
639,467,690,084,018,078,405,845,483,138,914,618,221,961,855,248,921,695,111,
266,009,923,719,190,638,117,462,121,093,581,018,844,446,170,128,870,624,587,
214,579,651,375,185,255,825,856,308,733,599,400,917,111,941,672,034,229,386,
748,890,156,446,023,454,354,700,832,819,698,368,907,917,594,911,758,599,762,
670,350,095,131,335,640,950,865,027,887,224,535,577,408,197,752,690,885,739,
171,632,730,605,173,838,632,064,909,739,558,542,228,301,459,813,753,878,339,
607,195,985,464,293,665,534,797,814,574,250,990,442,288,582,390,991,637,583,
100,615,102,722,368,140,709,318,384,947,951,429,849,281,022,927,549,097,665,
961,224,939,049,315,431,947,036,140,099,619,490,559,226,793,189,381,123,908,
623,096,812,678,462,569,114,382,040,005,273,582,131,406,236,544,058,871,709,
757,698,070,215,044,033,290,929,175,850,746,245,935,644,192,397,433,287,803,
575,392,986,041,999,728,811,048,998,541,163,488,932,563,417,844,856,036,025,
085,228,318,892,134,666,544,562,013,371,536,836,582,538,158,686,105,547,438,
116,140,637,997,710,594,063,783,365,678,455,243,961,005,463,220,208,847,323,
009,853,390,285,473,429,270,945,966,805,129,446,210,080,006,123,225,044,859,
787,136,261,078,823,599,304,403,455,493,494,394,126,300,299,799,089,172,620,
085,895,552,738,387,985,344,341,670,069,543,965,067,369,025,517,406,368,182,
682,667,504,118,550,016,480,416,917,707,459,805,803,592,942,004,148,815,473,
562,819,964,699,367,535,732,885,043,495,838,574,014,490,604,905,177,921,913,
448,633,358,079,196,678,691,365,487,487,030,944,543,431,658,357,371,070,868,
494,642,320,549,952,388,974,679,791,431,685,822,491,697,100,849,281,086,829,
623,357,742,382,350,639,444,402,489,830,930,588,140,530,616,232,913,414,734,
862,032,574,044,011,475,152,879,978,182,460,304,199,007,583,744,270,723,718,
281,775,939,870,970,452,246,662,377,534,463,236,169,119,411,820,223,149,110,
589,404,356,932,159,540,307,787,422,639,433,577,299,672,966,653,291,674,828,
604,909,426,757,589,280,111,184,402,550,902,908,352,261,257,280,055,389,928,
812,001,916,678,464,064,435,227,647,274,466,189,941,630,910,592,570,414,739,
372,880,332,420,277,215,271,760,751,296,164,004,104,962,772,965,635,287,103,
845,735,976,259,149,406,041,552,394,644,272,800,901,906,642,675,749,039,129,
615,717,298,357,909,837,800,110,042,283,627,794,440,917,781,526,340,699,243,
263,838,676,207,910,381,673,117,064,590,136,454,587,163,077,872,566,431,283,
539,311,658,367,818,030,235,294,660,271,077,855,981,254,487,783,975,354,814,
391,224,260,368,955,213,311,632,696,219,613,952,289,431,691,621,595,646,182,
399,471,460,299,902,830,030,571,971,557,160,007,984,871,067,436,165,218,029,
995,662,598,750,587,629,032,338,987,521,481,049,328,404,650,952,373,672,607,
203,314,663,634,235,889,920,452,907,383,566,803,583,425,123,012,269,255,167,
317,387,836,078,294,122,622,307,172,683,983,719,976,717,894,550,288,583,664,
703,825,859,790,622,876,138,201,585,790,294,416,663,172,126,224,173,264,629,
629,589,797,985,471,389,657,047,682,621,715,195,794,268,143,397,548,900,135,
116,114,214,422,216,268,058,908,326,856,589,517,392,035,601,680,091,260,369,
218,267,101,379,004,037,593,680,954,633,446,737,553,205,869,163,217,741,463,
500,531,513,108,946,460,639,103,161,418,616,288,880,128,443,940,840,649,488,
180,860,361,431,872,829,247,656,378,913,665,867,035,874,399,710,187,148,267,
549,806,254,479,322,616,221,263,445,190,000,552,614,786,608,586,811,767,666,
315,924,206,623,000,914,051,238,066,428,982,917,852,104,861,882,161,003,811,
804,645,426,698,079,024,946,124,995,920,750,713,874,087,621,739,805,873,475,
423,199,494,353,192,929,377,042,203,060,175,904,974,146,154,259,491,272,025,
809,440,088,093,633,840,368,065,142,994,325,001,320,562,985,439,275,523,832,
017,749,999,164,464,379,451,093,051,081,998,438,094,970,394,005,957,473,713,
557,317,307,434,254,633,680,691,958,524,294,232,251,658,701,422,222,647,866,
951,835,752,258,985,643,012,874,487,372,912,136,456,273,600,724,935,545,406,
416,996,469,105,775,658,630,221,758,042,858,614,377,646,342,624,961,949,907,
159,015,400,506,273,647,800,368,574,381,021,102,023,033,368,614,947,207,082,
358,306,517,513,947,816,733,761,220,333,113,765,176,878,823,595,950,355,951,
248,884,760,872,050,525,642,988,888,395,173,402,095,659,258,862,997,094,151,
836,705,427,353,966,282,176,951,619,064,790,294,605,367,615,366,208,618,481,
316,871,507,680,976,482,709,674,808,164,801,765,197,747,917,096,748,106,810,
941,486,599,201,414,510,454,597,048,848,879,728,779,954,229,943,399,632,355,
931,001,443,802,264,052,751,689,483,631,775,386,180,611,466,347,795,210,642,
444,292,210,189,042,063,286,794,861,986,891,460,644,339,886,867,838,927,814,
825,290,425,432,639,430,535,108,353,689,475,947,888,463,698,226,834,999,155,
248,091,728,848,665,445,908,613,275,854,320,938,812,969,734,372,235,784,675,
393,149,929,856,794,850,877,954,639,069,599,360,293,210,574,242,730,490,179,
854,968,660,320,974,818,836,547,344,997,562,183,394,332,165,818,442,598,522,
396,073,463,809,477,957,511,479,957,987,736,915,239,360,070,017,034,997,313,
171,077,302,155,639,247,029,681,397,029,469,514,851,222,332,521,215,112,257,
694,422,414,328,609,226,213,817,827,473,580,139,818,262,154,722,201,565,179,
867,025,418,587,331,659,683,565,218,790,976,864,120,606,950,872,447,832,306,
555,509,189,378,493,528,568,321,600,420,184,257,783,581,515,131,380,655,950,
107,193,013,187,735,913,151,980,937,933,679,620,341,379,987,989,061,201,411,
571,708,678,388,683,507,654,130,189,904,335,953,508,789,582,356,047,141,044,
926,251,919,621,426,633,329,488,526,901,420,800,253,384,071,089,087,065,099,
570,723,472,404,192,834,187,922,530,515,044,707,798,027,810,496,064,659,893,
560,390,337,416,518,494,462,391,806,360,191,821,793,319,586,888,731,193,052,
624,519,777,230,110,695,777,548,883,289,983,709,874,091,074,829,551,575,018,
869,516,149,195,297,568,757,377,334,264,850,451,324,845,784,778,268,386,886,
128,067,954,709,061,210,446,526,610,013,598,330,776,394,445,546,618,382,625,
697,650,791,981,770,582,322,700,832,775,651,684,066,624,556,184,156,290,543,
690,334,521,411,210,394,146,959,905,767,878,974,793,344,683,340,512,166,563,
696,290,852,761,124,331,071,808,360,140,145,696,394,076,716,102,082,204,838,
442,313,070,812,491,910,807,682,615,409,263,692,850,511,894,815,262,862,194,
035,829,001,943,688,485,450,483,075,757,150,239,570,992,093,352,228,544,570,
450,761,142,795,045,046,084,857,916,117,008,899,633,327,621,731,056,604,855,
726,389,311,161,561,052,074,804,442,603,381,949,057,950,172,816,094,905,402,
781,968,000,266,885,582,772,033,871,293,564,880,427,736,206,341,869,943,248,
670,083,792,523,495,085,729,579,094,661,878,316,110,350,980,284,794,642,356,
906,303,589,283,463,961,766,226,679,012,989,683,522,361,245,639,027,156,192,
823,697,121,322,476,292,503,767,473,015,916,003,766,259,138,117,465,941,611,
076,624,006,378,185,048,857,913,539,344,780,365,068,032,281,147,826,899,866,
607,607,041,115,631,229,067,939,795,095,053,681,641,966,615,873,384,244,724,
586,502,373,339,122,396,811,035,603,827,096,333,114,172,959,066,948,936,551,
629,743,138,987,782,036,170,349,751,171,481,528,998,547,701,965,173,065,820,
976,878,168,600,835,119,624,157,613,155,986,578,804,287,617,083,999,560,799,
548,491,539,735,501,377,215,659,050,747,806,927,191,118,703,892,127,164,642,
139,614,654,495,448,586,244,452,829,996,197,896,364,294,894,865,286,986,328,
587,482,814,938,845,816,150,103,463,587,327,834,725,190,664,242,790,585,453,
955,778,416,425,755,866,065,740,451,409,722,456,681,133,168,603,006,559,021,
114,811,741,260,095,839,533,155,085,813,439,289,989,382,724,436,619,902,800,
614,660,944,328,177,730,961,965,346,557,513,677,438,839,927,637,734,358,636,
525,350,709,980,444,440,021,220,022,407,466,530,702,306,198,582,230,724,290,
333,616,454,526,271,494,687,258,991,940,149,051,672,290,340,557,547,749,059,
263,982,426,330,914,801,839,304,346,628,809,536,382,234,491,916,146,693,004,
106,115,899,515,846,398,206,550,543,130,928,134,752,912,743,994,036,969,222,
719,047,431,916,603,984,680,425,193,541,335,681,498,921,216,752,420,363,840,
788,451,734,787,440,826,205,139,924,712,565,762,786,164,494,146,115,442,461,
939,674,535,106,951,831,735,887,755,220,980,587,094,228,565,261,101,290,915,
089,552,742,385,382,521,972,142,435,488,241,033,611,652,569,689,907,457,162,
669,751,805,122,374,869,261,025,783,135,260,685,241,204,903,494,631,240,855,
950,439,100,156,300,099,860,418,442,124,237,821,874,631,563,252,750,476,424,
956,453,632,018,749,619,403,236,827,761,737,926,509,387,967,511,072,541,970,
517,319,945,536,833,725,385,512,580,368,948,387,730,008,995,220,872,390,676,
296,238,641,210,044,617,210,912,501,476,278,095,751,642,027,906,621,445,528,
946,283,316,802,761,582,267,564,528,309,386,968,183,203,973,643,176,267,187,
093,716,223,978,902,054,585,212,559,184,926,429,056,418,456,676,073,889,131,
167,392,267,757,653,520,727,654,665,010,794,228,459,410,288,242,488,960,580,
873,959,624,767,003,190,429,806,006,522,346,631,543,231,881,697,419,620,155,
077,713,550,702,123,143,421,571,632,167,041,951,909,835,272,723,331,941,599,
460,810,701,006,069,765,735,235,914,335,860,236,206,525,486,154,643,078,230,
135,707,243,742,615,748,252,086,703,676,074,356,186,765,362,786,414,069,452,
993,085,833,000,599,407,241,788,426,101,652,336,049,514,144,395,632,466,601,
222,250,832,659,760,576,244,600,480,528,895,253,523,834,589,627,878,449,950,
292,732,642,527,930,226,683,617,206,361,990,472,130,019,582,839,775,241,372,
579,460,641,850,265,314,804,543,460,790,635,319,748,608,790,170,956,588,276,
219,743,131,721,655,308,299,927,818,763,731,141,201,684,857,650,431,639,623,
977,270,247,746,710,340,569,862,795,731,007,372,387,388,815,336,973,883,606,
880,266,486,225,520,978,992,053,444,628,302,720,179,979,737,255,635,043,845,
469,717,753,296,516,595,613,058,058,790,139,099,339,882,553,037,442,571,593,
583,499,174,035,571,964,587,182,869,808,636,071,232,844,962,528,096,308,322,
995,192,910,967,237,552,727,323,190,577,738,021,342,230,283,916,504,049,259,
919,056,031,885,756,307,716,253,555,201,724,371,501,669,910,877,070,476,606,
028,812,233,027,081,921,813,937,279,628,263,726,283,788,073,628,279,165,970,
700,623,410,647,071,687,264,442,067,222,839,866,295,712,563,831,290,615,009,
473,094,510,852,687,213,360,894,707,185,182,287,433,404,548,394,993,469,897,
131,663,642,576,313,024,941,188,003,201,150,393,009,057,734,723,581,486,541,
374,295,544,995,490,604,378,748,462,008,735,476,130,701,260,033,908,911,369,
867,849,826,695,965,078,038,250,519,296,836,238,789,251,891,488,228,564,933,
967,768,260,244,772,523,554,514,719,536,001,938,832,232,034,025,974,624,450,
527,197,685,529,598,490,469,026,446,995,624,901,798,074,309,320,744,472,188,
817,097,789,011,662,982,061,474,871,186,322,045,639,772,371,567,159,876,294,
854,841,099,194,587,817,343,250,571,858,395,894,891,042,909,104,205,941,774,
342,145,897,524,619,319,059,167,537,196,682,095,719,112,648,572,913,226,489,
060,464,979,369,157,490,318,229,845,529,370,963,421,442,512,895,433,195,808,
117,381,740,812,427,097,119,845,115,116,626,654,038,316,482,177,470,565,141,
110,840,791,643,572,306,359,342,344,815,492,357,239,352,793,604,603,737,011,
045,330,594,408,349,700,849,870,966,206,325,403,426,962,471,986,541,999,934,
717,527,685,445,234,634,857,632,022,655,412,946,533,589,398,834,378,825,499,
674,216,983,727,529,106,030,466,524,641,448,098,527,206,766,887,954,382,598,
915,014,567,925,360,855,237,319,176,815,892,926,299,613,304,256,906,373,844,
428,114,987,832,199,747,964,859,494,562,339,245,484,905,512,795,696,462,556,
975,699,404,719,176,445,697,930,248,961,382,867,010,165,946,399,981,840,173,
794,959,371,076,915,749,638,759,838,464,944,394,937,091,778,042,737,737,108,
621,274,669,820,299,109,582,297,570,921,019,048,372,003,198,589,324,591,071,
768,477,361,672,399,608,675,975,137,340,415,429,862,300,082,391,864,002,600,
499,290,817,307,412,910,509,416,471,583,418,439,872,317,360,790,168,446,253,
594,994,475,725,806,360,371,239,405,723,619,202,698,000,849,931,951,147,660,
802,133,581,854,621,534,218,445,446,757,541,073,236,209,622,634,185,106,443,
527,631,911,431,441,357,033,678,856,063,221,955,595,824,231,077,550,748,308,
739,839,909,079,742,602,186,089,545,529,650,750,019,700,807,909,928,868,164,
110,590,569,548,119,149,525,366,375,003,657,032,849,238,924,213,519,455,261,
915,842,085,693,345,993,033,291,528,226,363,438,669,212,345,417,538,013,969,
574,496,712,461,560,727,355,888,993,082,074,261,516,283,695,663,752,226,351,
229,519,515,678,542,997,722,359,547,302,578,198,007,141,776,426,706,050,593,
880,901,821,190,657,692,310,654,536,705,978,045,895,250,016,311,821,042,271,
230,449,585,856,619,813,030,088,614,469,156,656,644,902,657,755,468,124,909,
513,019,899,638,986,984,998,710,683,527,829,684,896,753,633,130,214,934,924,
526,683,326,629,511,392,602,176,726,907,908,207,603,155,390,544,334,964,131,
851,057,546,169,568,287,869,001,924,577,249,632,641,226,653,041,470,763,524,
060,224,461,964,041,388,200,528,103,208,887,405,543,782,429,544,008,700,246,
223,000,600,774,088,261,895,814,423,597,533,301,018,813,100,587,805,648,090,
959,521,678,947,500,137,539,669,795,229,924,469,417,839,229,886,244,797,905,
993,762,980,701,411,034,219,551,954,954,902,982,360,596,401,818,982,044,193,
920,283,530,707,811,986,804,457,999,996,962,668,992,914,060,230,619,394,962,
687,005,991,525,073,517,243,219,402,728,832,623,012,850,501,822,315,907,208,
799,011,330,024,601,248,848,472,822,374,760,200,441,597,978,065,962,257,608,
737,805,619,590,660,181,789,916,026,380,166,497,055,172,010,356,721,310,049,
615,419,217,489,807,721,228,042,336,049,262,830,110,534,500,264,568,798,866,
320,768,257,244,922,429,167,622,802,184,807,397,425,275,410,557,586,558,397,
302,290,246,685,177,227,444,034,940,690,862,809,119,471,612,136,652,034,464,
572,180,302,590,328,170,928,257,227,246,683,756,216,332,550,677,569,456,473,
289,117,873,313,961,491,889,401,107,739,058,366,326,327,893,216,735,418,808,
167,352,126,647,213,472,725,875,147,193,084,461,833,453,158,110,647,976,269,
121,796,656,007,755,723,437,133,221,390,756,602,838,325,747,728,254,709,983,
781,978,810,340,748,916,980,817,773,834,548,818,939,058,672,467,264,151,061,
109,686,540,565,826,496,166,251,536,416,002,458,918,358,728,684,442,641,868,
148,731,779,970,741,952,530,866,149,790,154,228,227,266,406,095,027,381,954,
647,912,804,720,979,108,480,108,509,059,339,562,148,655,697,177,252,632,138,
131,404,947,228,557,822,804,554,388,255,683,379,673,535,586,042,927,848,667,
333,031,344,424,789,278,605,058,177,704,421,025,009,711,665,777,558,560,373,
320,052,576,326,766,661,197,067,734,151,598,881,328,126,249,715,387,258,838,
865,183,961,229,311,781,161,145,983,141,728,363,678,646,988,365,744,527,172,
031,976,954,660,656,254,583,250,735,159,912,066,708,884,067,903,424,699,851,
154,803,927,245,432,412,044,664,616,381,339,717,780,188,579,712,655,567,023,
108,473,452,893,530,396,616,101,268,878,426,507,295,935,768,225,086,633,757,
423,740,793,686,681,426,412,723,503,039,536,838,563,153,729,100,112,432,415,
269,411,402,005,140,275,764,337,302,835,206,764,842,617,973,989,641,588,383,
505,581,948,061,615,640,834,204,860,591,060,060,939,637,437,072,640,868,684,
895,734,827,326,497,764,857,427,700,807,813,001,904,433,376,285,503,625,262,
018,784,397,088,240,833,657,315,444,261,485,785,101,956,882,428,414,248,388,
356,168,664,167,705,316,413,791,984,752,874,581,666,006,068,444,263,740,345,
820,885,887,703,806,050,220,662,526,021,936,371,565,949,671,355,532,283,218,
837,780,405,032,247,622,219,457,144,035,499,159,619,821,075,373,545,198,970,
212,028,166,146,473,728,591,272,941,349,726,837,054,363,391,971,166,133,981,
853,415,226,193,531,496,745,456,699,730,551,707,167,113,542,082,111,659,021,
762,075,100,333,711,807,130,747,602,050,676,563,494,222,952,993,913,552,912,
440,649,442,944,989,637,986,176,540,282,284,367,783,480,291,348,519,913,666,
121,355,201,200,279,809,235,441,954,742,087,053,178,088,609,217,994,999,164,
774,343,258,452,475,461,406,157,438,896,531,350,274,229,750,821,001,408,863,
513,017,796,960,443,066,297,057,264,372,983,955,672,254,716,285,943,124,199,
303,035,229,224,677,104,496,697,310,457,516,732,322,294,880,793,657,648,611,
111,779,593,155,972,342,140,620,482,289,661,502,631,254,070,394,415,403,973,
911,588,378,810,550,544,117,118,204,196,347,981,367,920,055,763,111,058,333,
814,938,437,722,292,801,562,779,990,505,469,884,201,023,504,802,161,013,715,
615,408,742,452,518,173,141,612,260,880,889,806,986,417,755,300,206,736,691,
182,707,281,876,312,607,773,351,765,908,502,253,928,323,191,092,463,186,225,
636,774,279,921,306,362,736,422,283,128,639,946,440,774,874,057,180,589,396,
799,190,801,590,770,518,740,298,439,075,583,977,569,443,594,092,370,144,152,
272,220,190,475,155,144,767,526,664,778,516,951,718,947,530,846,374,069,383,
807,885,635,469,317,997,034,319,240,035,456,040,470,761,887,102,084,370,051,
070,460,594,652,879,250,916,542,426,946,887,708,414,688,161,084,697,454,864,
908,851,670,983,292,834,505,544,361,884,981,545,049,572,789,506,899,460,516,
328,214,752,645,614,830,890,306,326,380,323,568,497,402,310,822,555,559,223,
294,631,595,373,266,201,487,732,051,612,192,432,623,981,316,343,482,934,978,
774,663,031,486,525,723,897,391,927,974,751,463,527,967,958,651,979,900,166,
910,429,396,326,963,421,200,688,593,306,837,231,762,082,765,812,495,926,079,
755,072,962,676,769,432,872,526,486,595,983,350,466,771,556,641,258,306,544,
440,135,293,578,155,567,013,146,719,306,292,917,371,238,969,281,957,484,391,
119,769,130,989,501,892,847,292,784,766,552,869,145,039,029,022,190,547,046,
665,742,449,032,872,644,561,793,507,076,950,022,901,359,709,706,970,190,696,
695,119,018,890,779,245,680,130,374,983,659,652,551,714,995,295,564,302,126,
105,744,236,293,219,531,560,825,771,804,545,545,238,525,108,658,888,704,721,
485,074,137,658,277,471,387,807,854,703,964,035,531,443,353,636,199,676,442,
172,610,627,152,692,623,392,525,184,191,187,455,407,788,687,190,940,705,603,
506,116,150,022,993,324,359,097,155,982,285,196,924,350,615,235,840,548,195,
218,567,235,196,560,774,537,889,897,361,486,786,074,784,631,505,434,736,435,
715,000,913,817,890,459,374,135,207,257,012,609,713,061,281,009,046,081,970,
038,767,475,183,308,373,631,950,627,170,439,710,604,881,837,228,505,284,550,
521,812,192,822,552,410,691,787,841,434,103,499,410,524,254,920,599,605,252,
987,861,906,645,653,932,946,091,871,834,691,531,558,175,931,440,768,370,767,
710,276,185,262,614,852,391,211,921,541,509,269,222,518,583,769,766,939,829,
877,912,999,074,288,397,089,046,913,292,474,266,421,610,831,809,301,100,838,
022,552,806,448,007,231,509,253,076,010,379,328,762,314,359,587,416,192,087,
216,673,369,579,215,634,417,609,201,016,514,664,371,084,661,301,981,124,333,
556,620,260,808,370,270,014,836,667,947,691,167,994,733,030,955,314,476,191,
717,526,253,915,600,140,811,876,925,283,873,531,164,354,681,165,703,313,518,
228,037,394,865,702,646,362,999,130,809,111,780,327,216,971,092,181,107,788,
119,766,454,585,970,457,376,417,863,015,560,861,639,106,287,306,082,002,923,
189,920,306,994,369,951,918,771,518,737,898,964,231,315,790,982,023,248,339,
022,224,300,110,159,005,280,539,727,909,303,700,420,905,037,038,380,213,564,
561,915,597,749,653,124,807,581,947,007,872,333,058,885,211,003,882,914,379,
716,555,511,425,155,929,159,206,798,871,587,636,997,058,019,513,323,874,332,
947,148,248,057,216,185,897,874,051,598,551,362,632,730,672,441,257,510,536,
342,025,927,006,974,392,391,664,834,592,464,458,640,353,470,475,581,848,015,
511,696,275,469,154,193,172,647,833,725,731,483,663,780,650,038,654,466,538,
349,481,274,942,225,820,348,992,566,236,020,957,693,864,692,893,086,181,103,
460,338,693,285,871,542,259,580,135,088,132,964,236,422,638,048,639,541,387,
223,712,293,899,459,384,534,588,790,099,006,824,366,410,456,114,909,592,513,
433,887,838,725,681,124,840,982,682,380,898,548,808,729,862,024,498,482,982,
305,257,191,096,870,286,124,787,459,169,833,637,629,147,879,312,925,965,083,
333,496,132,432,553,967,847,511,089,600,001,489,802,068,355,891,380,775,261,
799,441,305,572,930,899,379,737,362,894,554,188,722,878,339,522,367,766,574,
493,932,252,197,954,207,147,750,939,064,546,143,786,028,943,820,609,585,426,
436,468,800,852,740,042,594,330,805,106,781,541,025,582,772,510,744,600,900,
723,375,316,234,672,699,465,560,422,683,156,632,105,476,243,632,255,576,207,
193,483,213,764,011,936,726,533,222,237,056,435,227,798,575,126,472,365,153,
616,498,220,945,690,207,612,221,549,589,031,933,322,286,117,149,355,152,450,
877,293,057,140,620,652,302,786,515,966,497,503,876,554,188,393,273,347,230,
691,841,188,132,866,189,315,564,181,672,408,004,850,768,738,427,728,522,415,
325,965,620,507,492,963,428,930,076,281,343,882,106,502,755,725,983,317,779,
320,343,638,129,667,882,241,327,526,060,087,718,307,448,808,346,304,856,485,
177,074,937,328,539,617,346,420,300,239,348,318,011,944,809,805,330,497,232,
960,207,484,386,468,569,650,012,166,144,153,360,183,053,096,909,056,265,396,
913,694,938,812,595,876,922,622,425,379,839,586,644,658,858,731,994,940,597,
550,957,106,937,469,215,189,805,237,715,367,143,948,603,559,897,353,521,567,
794,741,348,510,122,525,990,833,622,360,592,217,872,233,992,521,045,520,285,
082,149,421,201,005,319,609,295,362,230,739,581,907,882,748,506,208,878,133,
009,451,596,650,935,987,583,703,462,790,712,264,104,854,660,044,118,589,088,
818,691,916,186,115,750,163,655,963,894,707,926,341,245,622,837,759,973,952,
263,259,386,615,442,394,725,692,221,189,631,416,210,552,079,824,830,182,555,
092,447,596,967,188,981,754,301,875,322,581,392,486,544,990,359,483,343,437,
882,453,410,020,067,146,053,922,435,196,728,906,887,075,707,462,125,751,284,
479,482,519,488,933,660,408,817,469,280,898,737,124,341,417,172,633,446,861,
431,070,396,888,894,883,057,659,620,881,214,452,598,997,074,385,400,328,159,
891,525,402,731,430,380,471,273,572,136,401,495,070,528,134,443,076,475,201,
142,748,365,310,301,353,327,337,016,175,934,922,372,135,594,746,041,784,119,
528,588,560,004,671,026,986,324,297,903,687,471,280,061,085,781,228,402,044,
307,880,845,185,122,381,805,001,146,273,160,831,895,935,739,141,476,131,245,
722,921,538,590,839,777,435,055,426,890,630,745,057,801,264,277,454,608,639,
774,340,159,134,714,772,659,773,747,689,219,994,489,048,455,612,002,966,797,
449,512,000,460,298,057,202,141,036,718,832,373,729,853,093,901,030,858,506,
287,772,877,802,810,320,404,976,625,340,309,499,938,328,516,853,963,958,199,
312,016,956,829,645,864,661,465,522,092,795,665,904,374,971,315,198,482,442,
312,176,037,126,520,824,717,156,676,646,660,239,536,250,515,925,926,663,612,
793,950,027,367,285,819,547,400,333,879,773,327,173,847,501,518,949,653,925,
586,532,590,347,626,651,534,353,289,212,359,862,940,548,453,453,668,805,292,
554,848,756,574,640,059,788,848,217,082,949,395,973,067,296,303,107,329,489,
076,842,722,866,675,069,820,087,658,097,112,459,124,794,492,897,866,088,183,
548,123,665,680,242,256,678,249,552,903,629,020,338,435,114,749,815,903,655,
552,766,610,731,981,791,929,027,100,188,248,302,090,462,847,827,281,813,499,
856,177,575,417,991,148,939,589,871,862,834,930,107,278,006,146,344,678,676,
303,028,546,506,751,652,035,296,555,699,935,664,028,796,550,089,358,557,743,
349,599,143,650,571,036,158,625,078,347,260,149,639,920,419,489,205,685,592,
385,909,839,830,825,780,881,681,610,403,102,356,009,162,908,565,633,643,163,
854,388,804,028,271,137,303,653,766,220,842,422,601,340,101,943,885,056,146,
239,753,899,797,243,803,812,754,354,332,952,774,420,756,670,168,646,851,667,
461,224,428,931,998,526,548,737,504,609,923,274,267,071,048,066,816,420,979,
439,302,802,361,031,906,636,665,786,435,002,489,042,038,786,117,590,013,904,
805,547,358,272,500,104,473,394,001,092,501,201,472,791,582,893,553,290,236,
490,134,498,990,670,373,140,255,577,154,899,339,901,554,721,203,671,658,787,
384,320,751,631,665,984,340,717,000,609,017,346,170,994,028,710,748,682,806,
669,366,112,957,422,737,662,590,303,616,616,881,133,629,242,985,904,227,476,
761,843,480,627,292,621,995,016,890,155,461,947,378,988,488,797,554,020,333,
863,764,013,001,071,632,597,585,225,526,849,454,057,749,572,644,253,693,745,
057,176,315,311,150,203,388,225,241,665,869,921,248,945,570,982,919,899,388,
519,216,232,587,690,617,014,462,167,417,589,562,575,658,966,628,983,237,039,
438,136,625,731,648,868,173,516,738,717,280,071,243,943,634,232,911,638,770,
418,787,687,954,279,733,043,231,950,401,984,488,012,377,413,146,554,433,711,
306,413,996,480,792,671,258,157,424,447,576,114,406,703,936,919,188,824,186,
545,307,644,140,451,423,787,114,048,909,561,378,048,586,505,639,651,745,838,
593,129,154,053,424,321,327,187,974,431,740,297,948,877,605,638,452,753,795,
638,812,460,603,188,948,247,428,798,395,616,987,149,783,316,592,705,765,507,
409,116,531,452,727,607,063,128,812,274,092,843,315,617,868,338,339,068,510,
430,433,564,878,018,444,914,052,430,520,540,177,348,167,973,369,177,539,176,
989,435,187,324,536,400,139,795,064,878,501,956,669,187,314,365,832,492,191,
779,944,968,218,712,676,015,986,183,592,162,337,015,915,823,447,359,729,513,
244,129,615,775,586,664,134,358,070,408,901,577,794,039,343,878,179,327,856,
666,375,632,090,920,262,099,213,994,871,278,318,495,355,940,672,973,472,230,
996,391,935,372,565,087,393,247,355,513,475,363,584,896,036,505,628,941,552,
994,215,659,768,093,235,516,290,503,229,462,594,248,611,594,398,597,833,263,
257,937,313,645,884,452,021,671,732,857,198,267,056,514,055,140,626,509,581,
657,488,919,737,507,204,897,979,399,224,943,265,856,229,980,479,731,221,227,
982,016,040,733,077,627,777,761,817,849,049,085,879,809,927,463,245,344,872,
235,414,509,106,154,417,759,329,640,264,116,145,597,490,541,779,889,310,561,
599,594,383,962,704,438,567,828,561,295,955,626,314,232,090,679,542,350,610,
155,119,999,233,742,590,196,467,379,500,339,560,438,657,796,654,926,034,878,
357,278,098,049,198,986,546,403,861,441,266,919,594,308,365,141,110,414,351,
937,796,340,761,105,903,045,743,413,476,895,493,908,247,971,072,889,777,770,
009,213,103,934,882,928,946,476,753,356,520,649,649,695,702,717,333,602,523,
086,828,234,314,518,605,792,104,801,067,953,951,761,460,017,207,897,273,251,
549,120,149,463,019,030,628,581,751,491,079,915,032,173,645,031,657,915,382,
462,337,979,359,148,521,974,543,444,228,718,608,029,425,045,767,898,837,165,
091,941,965,209,145,116,339,040,689,105,818,787,914,364,137,667,242,305,584,
777,029,420,226,622,233,832,568,787,584,195,205,994,442,737,855,063,129,367,
039,781,017,985,241,601,524,912,585,156,270,364,649,295,188,053,712,185,291,
456,866,435,840,894,821,498,830,349,078,507,888,951,922,429,715,698,303,339,
188,002,125,457,709,078,714,310,579,111,611,266,743,872,948,411,998,542,662,
304,552,311,175,880,769,725,905,549,892,835,027,889,090,593,937,173,680,504,
346,397,917,456,550,653,501,148,869,758,854,874,058,526,660,775,034,990,380,
122,703,944,054,284,527,301,384,824,422,846,130,020,075,409,086,244,398,385,
663,321,857,748,553,338,027,693,207,995,287,533,872,010,495,529,412,050,248,
478,965,156,215,502,550,401,971,663,661,347,849,875,559,791,407,457,261,239,
886,444,010,980,916,368,037,385,195,595,680,696,526,958,207,856,970,716,425,
462,109,564,427,748,328,772,490,168,847,796,803,257,826,107,507,284,026,280,
557,711,567,598,656,559,443,803,510,426,231,910,853,868,728,768,118,424,583,
412,933,860,092,982,624,910,217,041,650,873,577,753,883,587,602,519,163,009,
548,752,130,243,486,115,019,856,322,852,440,848,593,997,705,247,720,989,108,
489,601,802,434,856,619,150,285,573,293,992,382,811,934,875,899,371,740,093,
484,792,950,427,320,087,017,500,180,868,499,859,137,207,536,491,312,920,446,
397,920,319,871,491,506,835,912,421,903,129,832,090,529,612,010,614,796,735,
169,368,772,646,266,073,054,013,756,929,270,907,545,166,580,476,521,674,661,
931,067,226,520,908,321,119,513,608,742,154,250,451,979,472,961,966,586,636,
350,416,071,918,841,071,388,467,178,336,617,061,474,906,474,189,707,985,971,
653,476,729,811,995,396,423,551,889,725,290,791,032,581,736,486,521,763,533,
429,398,322,390,045,784,675,790,933,847,304,206,296,843,075,162,002,153,855,
435,422,631,847,026,996,721,016,414,553,058,780,134,719,216,957,659,581,218,
003,372,389,298,553,464,703,567,502,005,645,829,279,576,301,850,574,027,440,
039,599,996,029,090,108,532,256,656,703,440,330,825,531,002,455,255,338,848,
665,455,219,395,700,351,766,373,697,859,785,451,426,888,418,591,274,782,457,
533,585,829,187,748,552,310,383,063,984,462,341,347,288,992,880,995,126,754,
574,533,298,092,778,370,870,128,152,441,998,277,608,240,781,004,026,682,822,
805,952,283,176,394,145,538,565,411,649,980,887,525,584,023,332,429,515,430,
252,600,517,113,160,726,241,309,374,587,443,789,519,617,023,932,880,870,524,
614,380,657,620,943,896,509,714,856,360,952,760,998,114,751,339,119,857,882,
903,587,703,403,481,184,585,923,973,706,192,204,816,267,816,065,986,291,015,
292,057,079,142,587,113,274,771,973,408,825,798,513,233,775,606,372,798,740,
476,329,655,623,847,097,989,996,445,320,946,217,029,637,008,951,319,603,112,
610,542,996,649,011,066,124,119,827,304,728,226,984,774,003,365,547,653,078,
027,012,658,477,871,940,944,977,283,689,071,649,932,494,623,662,963,431,877,
851,382,717,252,292,244,256,933,826,630,406,898,521,973,150,225,924,120,754,
374,789,356,457,634,519,305,264,351,014,906,269,313,746,206,789,814,378,494,
376,934,133,911,560,846,984,384,191,371,467,354,112,157,366,740,720,553,111,
640,927,726,160,901,093,682,599,045,960,912,485,504,122,507,673,735,121,888,
820,200,825,986,272,775,453,994,698,387,526,855,801,669,062,650,648,188,736,
050,649,055,885,716,320,832,781,590,244,564,436,873,803,320,395,841,781,407,
029,401,867,701,449,241,690,346,592,798,282,241,260,594,785,856,076,046,661,
272,204,764,466,807,227,530,184,379,152,758,787,724,249,894,972,651,190,287,
066,998,715,139,315,241,818,205,949,141,673,012,426,664,605,494,508,334,226,
222,063,600,530,185,991,678,603,395,975,191,888,885,632,459,833,344,677,804,
693,213,671,587,457,768,329,482,283,521,163,550,946,333,788,856,779,007,604,
161,730,355,933,906,362,638,072,477,512,648,580,267,373,917,239,177,923,981,
748,421,503,472,011,622,690,426,329,521,631,747,912,215,223,517,277,677,481,
072,920,894,793,423,198,407,142,748,283,396,864,548,835,393,003,608,674,305,
226,418,583,277,620,837,368,972,442,161,619,136,937,697,949,019,382,872,833,
118,130,782,184,566,365,166,270,752,494,580,011,045,100,396,793,153,480,023,
790,346,808,611,773,093,106,873,780,576,330,596,542,718,395,164,486,726,663,
893,838,425,359,754,001,176,464,886,337,021,634,392,260,587,979,906,924,413,
249,974,283,447,019,886,565,897,671,920,822,560,712,245,947,645,813,208,885,
264,534,668,469,667,779,723,348,149,845,951,760,118,339,433,968,798,891,813,
087,742,078,153,090,171,973,861,484,859,445,909,821,129,917,309,644,493,166,
229,098,602,487,108,425,768,310,291,517,731,811,125,112,359,406,267,239,600,
849,725,022,981,209,236,951,443,410,464,772,818,706,768,835,534,579,005,016,
045,324,433,338,860,525,834,372,229,863,244,527,003,174,102,211,690,156,017,
445,948,253,193,867,016,085,182,724,550,925,759,695,838,635,934,248,744,165,
647,971,636,622,933,835,008,714,549,689,768,132,451,825,868,166,586,529,043,
048,856,569,767,040,606,662,123,518,624,413,840,736,884,584,571,129,962,490,
508,961,017,654,153,029,203,178,836,973,240,784,759,790,109,582,704,115,261,
810,848,979,783,371,184,482,385,107,257,710,307,392,297,360,075,548,838,865,
192,519,503,308,382,468,206,519,517,622,613,065,193,578,169,287,140,487,057,
697,538,392,611,320,494,510,017,934,182,564,423,978,470,942,903,287,010,594,
030,216,705,480,286,663,806,275,193,615,294,419,637,529,797,116,467,008,738,
731,535,188,940,042,347,037,630,418,010,642,035,749,985,230,529,338,323,938,
842,788,482,880,912,925,006,516,023,025,722,374,961,771,618,842,298,421,222,
341,075,927,688,016,541,192,885,494,746,112,017,092,345,110,009,729,888,814,
117,382,533,292,865,504,884,020,971,063,087,407,060,653,304,887,177,653,281,
304,095,088,773,069,561,055,162,719,993,119,370,570,467,552,128,308,510,700,
447,375,382,690,530,552,121,604,657,406,585,440,807,654,406,563,995,288,341,
968,471,988,080,413,898,677,614,122,715,337,512,728,534,312,402,482,853,962,
518,503,800,819,669,384,299,631,489,656,197,050,880,673,731,822,926,168,534,
321,869,587,920,250,316,755,710,986,088,421,323,002,249,571,069,438,083,260,
414,751,570,627,051,264,143,517,699,723,246,401,164,371,317,787,854,103,951,
414,187,286,056,554,546,118,788,719,642,596,035,244,701,727,633,391,627,017,
838,275,325,185,828,996,961,200,023,013,458,950,029,363,286,162,886,376,235,
671,393,670,949,268,556,545,365,519,699,171,426,339,495,143,040,873,675,158,
982,247,986,199,705,421,831,684,830,116,915,749,037,751,138,640,749,991,476,
192,966,701,278,679,524,225,389,733,926,915,737,685,313,205,409,965,522,845,
857,766,713,736,323,946,797,186,158,763,760,462,379,160,609,479,439,107,049,
447,358,338,750,979,434,507,637,679,259,098,612,657,302,999,860,201,228,323,
175,855,304,075,273,663,514,518,668,900,106,817,941,295,970,965,310,497,131,
678,229,003,505,445,881,033,481,429,054,282,942,192,999,780,104,822,968,437,
889,272,924,299,922,232,299,818,532,052,230,949,560,038,985,714,610,172,751,
229,070,339,819,494,219,594,400,024,202,029,156,281,302,327,999,385,544,161,
607,843,111,493,213,980,456,705,210,450,978,739,554,085,335,244,893,020,020,
093,141,905,972,035,081,082,831,033,266,795,163,627,802,872,395,885,439,759,
938,713,663,370,594,982,908,129,546,821,801,446,885,340,257,146,473,460,765,
701,078,148,390,444,668,646,358,260,114,284,745,199,214,535,743,130,039,233,
528,905,525,196,901,518,676,262,098,106,297,100,051,177,681,507,225,640,978,
066,066,935,529,269,815,169,581,706,144,625,565,717,254,129,090,222,367,915,
338,422,474,217,698,303,990,017,720,130,739,331,107,285,148,528,953,088,407,
340,419,998,315,744,669,730,765,681,543,007,313,874,597,514,926,416,955,136,
861,983,331,229,581,628,207,456,688,985,381,475,299,696,888,669,508,558,504,
278,748,073,197,358,728,645,195,413,205,077,188,414,558,626,363,748,071,809,
343,742,824,231,207,947,364,055,564,889,786,735,473,630,583,611,687,800,813,
481,838,607,806,644,426,776,936,989,853,027,146,133,071,440,348,824,506,688,
021,313,705,278,144,989,975,582,967,825,054,191,304,730,044,534,830,053,397,
364,407,890,458,476,033,029,500,124,128,466,260,212,152,881,163,713,339,474,
804,241,604,224,301,155,306,880,130,370,430,126,791,618,460,303,273,056,109,
833,913,616,048,174,397,153,970,015,426,138,934,501,849,880,828,016,521,917,
314,085,583,880,907,581,595,027,922,635,669,209,358,268,396,989,078,969,371,
512,732,556,316,616,650,377,629,399,758,833,050,561,337,572,640,865,692,485,
634,850,804,929,425,117,658,541,656,367,807,541,210,697,699,674,377,703,424,
089,741,881,912,147,693,576,259,349,898,745,419,485,840,888,781,837,881,135,
768,597,159,036,449,464,805,655,834,112,235,437,194,842,063,983,380,878,668,
807,573,495,396,673,051,572,043,177,306,280,808,594,114,546,780,708,413,436,
546,553,615,651,742,720,117,385,307,720,895,536,323,410,591,196,239,399,206,
498,094,640,477,861,486,238,804,050,892,515,010,126,326,135,955,683,299,045,
184,502,541,709,583,894,239,304,960,675,189,653,422,547,853,529,862,010,437,
135,830,915,777,499,500,274,882,218,550,846,708,611,134,297,411,652,943,871

Some useful links

Large prime numbers

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

Definitions and theory

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

Searching for Mersenne primes

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

EFF Cooperative Computing Awards

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

Source code

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

Other prime links

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